A000000 A000000 Conjectured formulas of the OEIS by Simon Plouffe as of Sept 9 2025 A000000 Version 1.0 : August 1992, Current version : 2025 09 09 A000000 There are 59766 unique sequence and 146148 expressions. A000000 A000000 A000000 ln(nbr_of_terms) x length_of_sequence A000000 Score := ----------------------------------- A000000 length_of_formula A000000 A000000 A000000 A000000 If the score is high the reliability of the formula is good. A000000 A000000 A score near 1 is not good, a score of 20+ is excellent. A000000 Some formulas are in double for many reasons, the sign or the factorization A000000 of the expression makes a change in length. The intention of the author A000000 is to keep the list as clean as possible, with time it will be done... A000000 These formulas are suggested, most of them are the true ones, in some A000000 cases the formula found automatically are better than the original A000000 reference. A000000 A000000 Some formulas are false positives, in some rare cases, even false A000000 the formula found is sometimes as interesting as the original. A000000 A000000 Some formulas appear with the value I (complex), A000000 it is not an error most of the time. On the other hand, A000000 to correctly evaluate the series it is necessary to : A000000 develop in series (ordinary or exponential). A000000 collect the terms, A000000 evaluate in floating point, A000000 evaluate in absolute value. --------------------------------------------------------------------------------------- OEIS # Score Formula Type --------------------------------------------------------------------------------------- ####################################################################################### A000004 13.1249 [{a(n+1),a(0)=0} ogf] A000007 12.0781 [{-a(n+1),a(0)=1} ogf] A000008 25.5586 [x^9+x^4+x+1 ogf_with_Euler_transform] A000008 5.84027 [1/(x^4-x^3+x^2-x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A000009 33.6616 [1/(-x^2+1) ogf_with_Euler_transform] A000009 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*2^(7/8) A000012 15.8359 [{a(n+1)-a(n),a(0)=1} ogf] A000012 20.0845 [-f(x)*x+f(x)-1 ogf] A000012 34.3110 [1/(-x+1) lgdogf] A000012 39.2126 [-1/(x-1) ogf] A000023 17.0100 [-(1-2*x)/(-x+1) lgdegf] A000023 26.9652 [(1-2*x)*f(x)+(1-x)*f(x)^2 lgdegf] A000023 5.07762 [{(2*n+4)*a(n+1)+(n+1)*a(n+2)-a(n+3),a(0)=1,a(1)=-1,a(2)=2} ogf] A000027 106.665 [-2/(-1+x) lgdogf] A000027 11.4983 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A000027 11.9190 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A000027 29.6169 [1/(x-1)^2 ogf] A000027 34.9056 [2/(-x+1) lgdogf] A000032 11.2277 [-(-x^2+4*x+1)/(-x^3+x^2+3*x-2) lgdogf] A000032 15.9683 [(x-2)/(x^2+x-1) ogf] A000032 24.2803 [-(-1-4*x+x^2)/(x-2)/(x^2+x-1) lgdogf] A000032 8.76309 [{-a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=1} ogf] A000032 9.13785 [(20*f(x)-39)*(f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A000034 13.4841 [-(5*f(x)+2)*(f(x)*x^2-f(x)+2*x+1) ogf] A000034 14.9589 [-(-2*x^2-2*x-2)/(-2*x^3-x^2+2*x+1) lgdogf] A000034 14.9589 [{a(n+2)-a(n),a(0)=1,a(1)=2} ogf] A000034 23.3505 [-(2*x+1)/(x-1)/(x+1) ogf] A000034 27.6138 [1/2/(2+x)*(-1+(1+8*x+4*x^2)^(1/2)) revogf] A000034 28.4506 [-2*(1+x+x^2)/(-1+x)/(2*x+1)/(x+1) lgdogf] A000035 11.8196 [{a(n+2)-a(n),a(0)=0,a(1)=1} ogf] A000035 18.1618 [f(x)*x^2-f(x)+x ogf] A000035 20.6843 [2*x/(-x^2+1) lgdogf] A000035 25.6770 [-x/(x-1)/(x+1) ogf] A000035 37.4107 [1/2/x*(-1+(1+4*x^2)^(1/2)) revogf] A000035 57.1617 [[x] ogf_with_Euler_transform] A000035 57.2163 [-2*x/(-1+x)/(x+1) lgdogf] A000038 12.0781 [{-a(n+1),a(0)=2} ogf] A000038 22.0557 [2-f(x) ogf] A000041 43.1807 [1/(-x+1) ogf_with_Euler_transform] A000041 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)/Pi^(1/4)*2^(3/8)*GAMMA(3/4) A000042 13.4232 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A000042 13.9331 [-1/20*(-11*x-1+(81*x^2+22*x+1)^(1/2))/x revogf] A000042 19.9430 [1/(10*x-1)/(x-1) ogf] A000042 20.1255 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A000042 8.11634 [(101*f(x)+20)*(10*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A000042 8.21182 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=11} ogf] A000044 10.0076 [-(-11*x^10-9*x^8-7*x^6-5*x^4-3*x^2-1)/(-x^11-x^9-x^7-x^5-x^3-x+1) lgdogf] A000044 18.0439 [-1/(x^11+x^9+x^7+x^5+x^3+x-1) ogf] A000044 18.3645 [-(1+3*x^2+5*x^4+7*x^6+9*x^8+11*x^10)/(-1+x+x^3+x^5+x^7+x^9+x^11) lgdogf] A000045 10.1779 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A000045 13.9731 [f(x)*x^2+f(x)*x-f(x)+x ogf] A000045 17.1753 [-(-2*x-1)/(-x^2-x+1) lgdogf] A000045 22.2814 [-x/(x^2+x-1) ogf] A000045 22.8972 [1/2/x*(-x-1+(5*x^2+2*x+1)^(1/2)) revogf] A000045 40.7062 [-(1+2*x)/(x^2-1+x) lgdogf] A000051 10.7704 [-(-6*x^2+8*x-3)/(-6*x^3+13*x^2-9*x+2) lgdogf] A000051 12.0389 [1/2*ln(2*x+3)-arctanh((2*x+4)^(1/2))-1/2*ln(3)+arctanh(2) revegf] A000051 15.5573 [-(3*x-2)/(2*x-1)/(x-1) ogf] A000051 18.5464 [-(3-8*x+6*x^2)/(-1+x)/(2*x-1)/(3*x-2) lgdogf] A000051 7.69317 [-(14*f(x)+53)*(2*f(x)*x^2-3*f(x)*x+f(x)+3*x-2) ogf] A000051 8.53755 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=2,a(1)=3} ogf] A000064 24.6576 [x^9+x^4+x+2 ogf_with_Euler_transform] A000064 5.64014 [-1/(x^4-x^3+x^2-x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^5 ogf] A000064 7.56692 [-(2+4*x+2*x^2+4*x^3+7*x^4+4*x^5+2*x^6+4*x^7+2*x^8+19*x^9)/(-1+x)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A000070 22.9097 [-(-2+x)/(-x+1) ogf_with_Euler_transform] A000071 11.5479 [f(x)*x^3-2*f(x)*x-x^2+f(x) ogf] A000071 13.9907 [-(3*x^2-2)/(x^3-2*x+1) lgdogf] A000071 22.0460 [x^2/(x-1)/(x^2+x-1) ogf] A000071 25.7230 [-(-2+3*x^2)/(-1+x)/(x^2+x-1) lgdogf] A000071 7.90780 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A000073 12.4474 [-(-3*x^2-2*x-1)/(-x^3-x^2-x+1) lgdogf] A000073 17.7029 [-x^2/(x^3+x^2+x-1) ogf] A000073 28.1913 [-(1+2*x+3*x^2)/(x^2-1+x+x^3) lgdogf] A000073 7.24211 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A000073 9.83496 [-f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x) ogf] A000078 10.0943 [-(-4*x^3-3*x^2-2*x-1)/(-x^4-x^3-x^2-x+1) lgdogf] A000078 15.2367 [-x^3/(x^4+x^3+x^2+x-1) ogf] A000078 21.1555 [-(1+2*x+4*x^3+3*x^2)/(x^2-1+x+x^4+x^3) lgdogf] A000078 8.15701 [-f(x)*x^4-f(x)*x^3-f(x)*x^2-x^3-f(x)*x+f(x) ogf] A000079 15.1905 [{a(n+1)-2*a(n),a(0)=1} ogf] A000079 19.266 [-2*f(x)*x+f(x)-1 ogf] A000079 28.2109 [2/(-2*x+1) lgdogf] A000079 37.6145 [-1/(2*x-1) ogf] A000079 59.6769 [1/2*ln(1+2*x) revegf] A000079 70.5272 [-2/(-1+2*x) lgdogf] A000085 188.269 [1+x lgdegf] A000085 6.49497 [{(-n-2)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=2} ogf] A000090 13.9288 [-(-x^3+x^2-1)/(-x+1) lgdegf] A000090 16.5525 [a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=0,a(3)=1 lgdegf] A000096 16.8824 [x*(x-2)/(x-1)^3 ogf] A000096 20.0479 [-(-2*x+5)/(-x^2+3*x-2) lgdogf] A000096 43.1849 [-(-5+2*x)/(-1+x)/(x-2) lgdogf] A000096 8.51592 [-(23*f(x)-63)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+2*x) ogf] A000096 8.66936 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A000097 18.8943 [-(-x^2+2)/(x-1) ogf_with_Euler_transform] A000098 15.7823 [-(-x^3+2)/(x-1) ogf_with_Euler_transform] A000100 13.2653 [x^3/(x^2+x-1)/(x^3+x^2+x-1) ogf] A000100 16.3595 [-(1+x)*(5*x^3+3*x^2-2)/(x^2+x-1)/(x^3+x^2+x-1) lgdogf] A000100 5.28757 [-(f(x)-1)*(f(x)*x^5+2*f(x)*x^4+f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+f(x)) ogf] A000100 7.87628 [-(-5*x^4-8*x^3-3*x^2+2*x+2)/(-x^5-2*x^4-x^3+x^2+2*x-1) lgdogf] A000102 10.5115 [x^4/(x^3+x^2+x-1)/(x^4+x^3+x^2+x-1) ogf] A000102 10.8252 [-(-2-2*x+15*x^4+8*x^3+7*x^6+12*x^5)/(x^3+x^2+x-1)/(x^4+x^3+x^2+x-1) lgdogf] A000108 102.638 [-x*(-1+x) revogf] A000108 15.6246 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000108 22.8653 [-1+f(x)-f(x)^2*x ogf] A000108 27.9922 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000108 9.01422 [{(-4*n-6)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=1} ogf] A000110 143.369 [exp(x) lgdegf] A000110 43.6699 [exp(x) lgdegf] A000115 10.2837 [-(8*x^5+9*x^4+4*x^3+4*x^2+4*x+1)/(x^6+x^5-x-1) lgdogf] A000115 13.1154 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A000115 14.0985 [-(1+4*x+9*x^4+4*x^3+8*x^5+4*x^2)/(-1+x)/(1+x)/(x^4+x^3+x^2+x+1) lgdogf] A000115 31.0920 [[x^4+x+1] ogf_with_Euler_transform] A000118 14.1217 [-(4*x^2-4*x+8)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000118 99.9999 Evaluated at exp(-Pi) Pi/GAMMA(3/4)^4 A000122 9.06036 [-(x^2-x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000122 99.9999 Evaluated at exp(-Pi) Pi^(1/4)/GAMMA(3/4) A000124 13.3428 [-(x^2-x+1)/(x-1)^3 ogf] A000124 13.5652 [-(-x^2-2)/(-x^3+2*x^2-2*x+1) lgdogf] A000124 24.5456 [-x^5+x^2+x+2 ogf_with_Euler_transform] A000124 31.9211 [-(2+x^2)/(-1+x)/(x^2-x+1) lgdogf] A000124 7.26704 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A000124 7.33252 [(3*f(x)+5)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-x+1) ogf] A000125 11.4859 [(2*x^2-2*x+1)/(x-1)^4 ogf] A000125 12.3832 [-(-4*x^2+2*x-2)/(-2*x^3+4*x^2-3*x+1) lgdogf] A000125 22.2061 [-2*(1-x+2*x^2)/(-1+x)/(2*x^2-2*x+1) lgdogf] A000125 4.00267 [{(n+4)*a(n+4)+(-11-3*n)*a(n+3)+(10+4*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A000125 7.40681 [f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+2*x-1 ogf] A000126 10.5948 [-(x^3-x+1)/(x^2+x-1)/(x-1)^2 ogf] A000126 16.2887 [-(-2+2*x+x^4+x^5)/(-1+x)/(x^2+x-1)/(x^3-x+1) lgdogf] A000126 4.06132 [{(-n-3)*a(n+1)-a(n+2)+(2*n+5)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A000126 5.8483 [-f(x)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-f(x)-x+1) ogf] A000126 8.30725 [-(x^5+x^4+2*x-2)/(x^6-3*x^4+2*x^3+2*x^2-3*x+1) lgdogf] A000127 15.0059 [-(2-4*x+x^4+6*x^2)/(-1+x)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A000127 4.48869 [{(2*n+4)*a(n+1)+(-3*n+2)*a(n+2)+(n-2)*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=16,a(5)=31} ogf] A000127 5.24146 [-f(x)*(f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+x^4-10*f(x)*x^2-2*x^3+5*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A000127 8.88288 [-(x^4-2*x^3+4*x^2-3*x+1)/(x-1)^5 ogf] A000127 9.58948 [-(-x^4-6*x^2+4*x-2)/(-x^5+3*x^4-6*x^3+7*x^2-4*x+1) lgdogf] A000128 11.2392 [-(-2+4*x+5*x^4-4*x^3+2*x^5-2*x^2)/(-1+x)/(x^2+x-1)/(x^3+x^2-2*x+1) lgdogf] A000128 5.00743 [-f(x)^2*(f(x)*x^5-2*f(x)*x^4-f(x)*x^3+5*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A000128 7.27041 [-(-2*x^5-5*x^4+4*x^3+2*x^2-4*x+2)/(-x^6-x^5+4*x^4-5*x^2+4*x-1) lgdogf] A000128 8.89556 [(x^3+x^2-2*x+1)/(x^2+x-1)/(x-1)^3 ogf] A000129 13.3343 [-f(x)*x^2-2*f(x)*x+f(x)-x ogf] A000129 16.3901 [-(-2*x-2)/(-x^2-2*x+1) lgdogf] A000129 21.2628 [-x/(x^2+2*x-1) ogf] A000129 22.8331 [1/2/x*(-2*x-1+(8*x^2+4*x+1)^(1/2)) revogf] A000129 38.8163 [-2*(1+x)/(x^2-1+2*x) lgdogf] A000129 9.71263 [{-a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A000132 13.1532 [-(5*x^2-5*x+10)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000132 99.9999 Evaluated at exp(-Pi) Pi^(5/4)/GAMMA(3/4)^5 A000134 7.31382 [(x^9-x^8+x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+4*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A000138 11.0657 [-(x^4-x^3+1)/(x-1) lgdegf] A000138 26.8208 [-1+x^3-x^4+(1-x)*f(x) lgdegf] A000139 17.9787 [1/27+1/3*x-1/27*(-(-1+3*x)^3)^(1/2) revogf] A000139 5.13573 [{(27*n^2+81*n+60)*a(n+1)+(-4*n^2-22*n-30)*a(n+2),a(0)=2,a(1)=1} ogf] A000139 7.73454 [-f(x)^3*x^2-2*f(x)^2*x+18*f(x)*x-f(x)-27*x+2 ogf] A000141 12.1134 [-(6*x^2-6*x+12)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000141 99.9999 Evaluated at exp(-Pi) Pi^(3/2)/GAMMA(3/4)^6 A000142 17.9717 [-f(x)*x+f(x)-1 egf] A000142 30.7017 [1/(-x+1) lgdegf] A000142 35.0876 [-1/(x-1) egf] A000142 8.37318 [{(-n-2)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A000142 80.4776 [-1/(-1+x) lgdegf] A000142 80.4776 [1-exp(-x) revegf] A000143 13.1203 [-(8*x^2-8*x+16)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000143 99.9999 Evaluated at exp(-Pi) Pi^2/GAMMA(3/4)^8 A000144 10.6807 [-(10*x^2-10*x+20)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000144 99.9999 Evaluated at exp(-Pi) Pi^(5/2)/GAMMA(3/4)^10 A000145 10.1816 [-(12*x^2-12*x+24)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000145 99.9999 Evaluated at exp(-Pi) Pi^3/GAMMA(3/4)^12 A000152 9.99438 [-(16*x^2-16*x+32)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A000152 99.9999 Evaluated at exp(-Pi) Pi^4/GAMMA(3/4)^16 A000153 5.74110 [{a(n)*n+(n+2)*a(n+1)-a(n+2),a(0)=0,a(1)=1} ogf] A000156 99.9999 Evaluated at exp(-Pi) Pi^6/GAMMA(3/4)^24 A000165 16.6592 [-2*f(x)*x+f(x)-1 egf] A000165 24.3938 [2/(-2*x+1) lgdegf] A000165 32.5250 [-1/(2*x-1) egf] A000165 61.0040 [-2/(-1+2*x) lgdegf] A000165 7.76166 [{(-2*n-4)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A000166 24.8285 [-x/(x-1) lgdegf] A000166 48.0300 [-x+(1-x)*f(x) lgdegf] A000166 5.97377 [{(n+2)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A000168 13.579 [27*f(x)^2*x^2-18*f(x)*x+f(x)+16*x-1 ogf] A000168 17.6700 [1/32+9/16*x-27/32*x^2-1/32*((x-1)*(9*x-1)^3)^(1/2) revogf] A000168 8.45481 [{(-12*n-18)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=2} ogf] A000168 8.96210 [-27/32*x^2+9/16*x+1/32-1/32*(729*x^4-972*x^3+270*x^2-28*x+1)^(1/2) revogf] A000172 3.36768 [{(8*n^2+32*n+32)*a(n+1)+(7*n^2+35*n+44)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A000180 14.9577 [-(-2-3*x)/(-3*x+1) lgdegf] A000180 30.8813 [-2-3*x+(1-3*x)*f(x) lgdegf] A000180 4.43190 [{(-3*n-6)*a(n+1)+(-3*n-8)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=13} ogf] A000184 15.1619 [(-1/2*(24*x-1)/(-1+4*x)^(1/2)+1/2*I)/(-1+4*x)^(1/2)/x lgdogf] A000184 6.76581 [{(-16*n^2-136*n-288)*a(n+1)+(8*n^2+62*n+114)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=22,a(2)=164} ogf] A000193 12.7668 [-x*(x+1)*(x^2-x+1)*(x^29-x^26+x^23-x^20+x^17-x^14+x^11+1)/(x-1) ogf] A000193 6.72679 [(-1+2*x^3-11*x^10-3*x^2-32*x^31+31*x^32+10*x^11)/(-1+x)/(1+x)/(x^2-x+1)/(x^29-x^26+x^23-x^20+x^17-x^14+x^11+1) lgdogf] A000194 19.4627 [-(-x^2-x-1)/(x^2+1) ogf_with_Euler_transform] A000202 8.05191 [(x^8+x^7+2*x^6+x^5+2*x^4+2*x^3+x^2+2*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A000204 10.0525 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A000204 12.8797 [-(-2*x^2-2*x-3)/(-2*x^3-3*x^2+x+1) lgdogf] A000204 13.0841 [f(x)*x^2+f(x)*x-f(x)+2*x+1 ogf] A000204 18.3178 [-(2*x+1)/(x^2+x-1) ogf] A000204 21.8823 [1/2/(2+x)*(-x-1+(5*x^2+10*x+1)^(1/2)) revogf] A000204 25.3015 [-(3+2*x+2*x^2)/(2*x+1)/(x^2+x-1) lgdogf] A000211 10.7714 [-(3-2*x+x^4+10*x^3-10*x^2)/(-1+x)/(x^2+5*x-4)/(x^2+x-1) lgdogf] A000211 11.4440 [-(x^2+5*x-4)/(x-1)/(x^2+x-1) ogf] A000211 6.38457 [(5*f(x)+393)*(f(x)*x^3-2*f(x)*x+x^2+f(x)+5*x-4) ogf] A000211 6.45249 [{a(n+3)-2*a(n+2)+a(n),a(0)=4,a(1)=3,a(2)=5} ogf] A000212 10.6927 [-(4*x^3+7*x^2+4*x+3)/(x^4+x^3-x-1) lgdogf] A000212 17.7185 [-(3+4*x+4*x^3+7*x^2)/(-1+x)/(1+x)/(x^2+x+1) lgdogf] A000212 30.6506 [x^2-x+3 ogf_with_Euler_transform] A000212 9.99835 [-x^2*(x+1)/(x^2+x+1)/(x-1)^3 ogf] A000213 10.5952 [-(x^4-4*x^2-1)/(x^5+x^4-2*x^2-x+1) lgdogf] A000213 14.1269 [(x-1)*(x+1)/(x^3+x^2+x-1) ogf] A000213 18.8284 [-(-1+x^4-4*x^2)/(-1+x)/(1+x)/(x^3+x^2+x-1) lgdogf] A000213 7.18960 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A000213 7.52556 [(f(x)-1)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+1) ogf] A000216 8.23810 [-(18*x^8+42*x^7+145*x^6+89*x^5+58*x^4+37*x^3+16*x^2+4*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A000217 10.8272 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A000217 20.3341 [-x/(x-1)^3 ogf] A000217 29.7749 [3/(-x+1) lgdogf] A000217 7.51078 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A000217 91.3033 [-3/(-1+x) lgdogf] A000218 6.22524 [(45*x^12+61*x^11+61*x^10-33*x^9-142*x^8-89*x^7-58*x^6-37*x^5-61*x^4-65*x^3-81*x^2-9*x-3)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A000219 28.6168 [-1/(-x^2+2*x-1) ogf_with_Euler_transform] A000221 6.85553 [(27*x^11-8*x^10+9*x^9+x^8-20*x^7-42*x^6-145*x^5-89*x^4-85*x^3-29*x^2-25*x-5)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A000225 13.3284 [-2*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A000225 15.4429 [-(4*x-3)/(2*x^2-3*x+1) lgdogf] A000225 22.1446 [-1/4*(-1-3*x+(1+6*x+x^2)^(1/2))/x revogf] A000225 22.4624 [x/(2*x-1)/(x-1) ogf] A000225 30.4488 [-(-3+4*x)/(2*x-1)/(-1+x) lgdogf] A000225 9.15136 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A000240 10.2277 [-(x^3-2*x^2+3*x)/(x^3-2*x^2+2*x-1) lgdegf] A000240 22.1358 [-x*(3+x^2-2*x)/(-1+x)/(x^2-x+1) lgdegf] A000240 4.18966 [{(n^2+7*n+12)*a(n+1)+(n^2+6*n+8)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A000241 5.21248 [-x^2+3*x+3 ogf_with_Euler_transform] A000244 14.4182 [{a(n+1)-3*a(n),a(0)=1} ogf] A000244 18.2865 [-3*f(x)*x+f(x)-1 ogf] A000244 26.7766 [3/(-3*x+1) lgdogf] A000244 35.7021 [-1/(3*x-1) ogf] A000244 56.6474 [1/3*ln(1+3*x) revegf] A000244 66.9469 [-3/(-1+3*x) lgdogf] A000245 12.8845 [6/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000245 13.1029 [f(x)^2*x^2+3*f(x)*x-f(x)+x ogf] A000245 23.1234 [6/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000245 33.1771 [8*x/(1+(1+4*x)^(1/2))^3 revogf] A000245 6.38901 [{(4*n^2+14*n+12)*a(n+1)+(-n^2-5*n-4)*a(n+2),a(0)=0,a(1)=1} ogf] A000246 14.2697 [-f(x)^2*x+f(x)^2-x-1 egf] A000246 24.9719 [1/(-x^2+1) lgdegf] A000246 35.9253 [-1/(-1+x)/(1+x) lgdegf] A000246 6.85504 [{(n^2+n)*a(n)-a(n+2)+a(n+1),a(0)=1,a(1)=1} ogf] A000247 11.7550 [x*(2*x-3)/(2*x-1)/(x-1)^2 ogf] A000247 16.4958 [-2*(5-10*x+4*x^2)/(-1+x)/(2*x-1)/(2*x-3) lgdogf] A000247 5.77617 [-(449*f(x)-1450)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+3*x) ogf] A000247 5.98246 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=3,a(2)=10} ogf] A000247 9.85347 [-(-8*x^2+20*x-10)/(-4*x^3+12*x^2-11*x+3) lgdogf] A000248 10.3973 [(n+3)*a(n+3)+n*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3/2 lgdegf] A000248 15.9625 [exp(x)*x+exp(x) lgdegf] A000253 15.2068 [x/(2*x-1)/(x^3-x^2+2*x-1) ogf] A000253 15.9725 [-(-4+10*x+8*x^3-9*x^2)/(2*x-1)/(x^3-x^2+2*x-1) lgdogf] A000253 6.00914 [-(127*f(x)+28)*(2*f(x)*x^4-3*f(x)*x^3+5*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A000253 9.19919 [-(8*x^3-9*x^2+10*x-4)/(2*x^4-3*x^3+5*x^2-4*x+1) lgdogf] A000254 4.91059 [{(n^2+4*n+4)*a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A000255 13.7804 [-(-1-x)/(-x+1) lgdegf] A000255 35.9488 [-1-x+(1-x)*f(x) lgdegf] A000255 4.11354 [{(-n-2)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A000256 3.00927 [-f(x)^3*x^3-8*f(x)^3*x^2+6*f(x)^2*x^3-16*f(x)^3*x+51*f(x)^2*x^2-12*f(x)*x^3+76*f(x)^2*x-108*f(x)*x^2+8*x^3-115*f(x)*x+76*x^2+f(x)+54*x-1 ogf] A000257 4.65430 [{(8*n^2+4*n)*a(n)+(-17*n^2-59*n-48)*a(n+1)+(2*n^2+12*n+16)*a(n+2),a(0)=1,a(1)=1} ogf] A000257 7.8415 [16*f(x)^2*x^2-8*f(x)*x^2-12*f(x)*x+x^2+f(x)+11*x-1 ogf] A000259 5.71094 [f(x)^3*x^4+11*f(x)^3*x^3-f(x)^3*x^2+11*f(x)^2*x^2-2*f(x)^2*x+5*f(x)*x-f(x)+1 ogf] A000259 6.90504 [1/2*(5*x^2+4*x+1)*(5*x^2+2*x+1)^(1/2)/x^3-1/2*(11*x^3+11*x^2+5*x+1)/x^3 revogf] A000260 14.6456 [1/32+5/8*x-1/4*x^2-1/32*(-(8*x-1)^3)^(1/2) revogf] A000260 4.07455 [{(-256*n^3-1408*n^2-2544*n-1512)*a(n+1)+(27*n^3+216*n^2+573*n+504)*a(n+2),a(0)=1,a(1)=1} ogf] A000260 7.21243 [-1/4*x^2+5/8*x+1/32-1/32*(-512*x^3+192*x^2-24*x+1)^(1/2) revogf] A000261 6.80029 [{-a(n)*n+(-n-3)*a(n+1)+a(n+2),a(0)=0,a(1)=1} ogf] A000262 15.7276 [1+(2*x-x^2)*f(x)+(-1+2*x-x^2)*f(x)^2 lgdegf] A000262 20.4352 [-1/(-x^2+2*x-1) lgdegf] A000262 6.23447 [{(n^2+n)*a(n)+(-2*n-3)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A000266 15.0895 [-(x^2-x+1)/(x-1) lgdegf] A000266 3.85265 [{(-n^2-5*n-6)*a(n+1)+(n+3)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A000266 37.4609 [-1+x-x^2+(1-x)*f(x) lgdegf] A000271 3.68254 [{a(n+1)+(n+3)*a(n+2)+(n+3)*a(n+3)-a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A000274 10.4384 [-(6+12*x-3*x^4+9*x^3+x^5-x^2)/(-1+x)/(x^4-2*x^3+5*x^2+2) lgdegf] A000274 14.7659 [-(-1-x)/(-x+1) lgdegf] A000274 3.60145 [{(n^2+5*n+6)*a(n+1)+(n^2+4*n+3)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A000285 10.8786 [(3*f(x)+5)*(f(x)*x^2+f(x)*x-f(x)+3*x+1) ogf] A000285 11.2766 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=4} ogf] A000285 14.4481 [-(-3*x^2-2*x-4)/(-3*x^3-4*x^2+2*x+1) lgdogf] A000285 15.9705 [1/2/(3+x)*(-x-1+(5*x^2+14*x+1)^(1/2)) revogf] A000285 18.4659 [-(4+2*x+3*x^2)/(3*x+1)/(x^2+x-1) lgdogf] A000285 20.5484 [-(3*x+1)/(x^2+x-1) ogf] A000288 10.0329 [(2*x^3+x^2-1)/(x^4+x^3+x^2+x-1) ogf] A000288 11.0489 [-(-1-x^4-8*x^3+2*x^6+2*x^5+2*x^2)/(2*x^3+x^2-1)/(x^4+x^3+x^2+x-1) lgdogf] A000288 5.50678 [(3*f(x)-4)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-2*x^3+f(x)*x-x^2-f(x)+1) ogf] A000290 14.5547 [-(x+1)*x/(x-1)^3 ogf] A000290 18.8549 [-(2*x+4)/(x^2-1) lgdogf] A000290 38.9438 [-2*(x+2)/(-1+x)/(1+x) lgdogf] A000290 39.3065 [[4-x] ogf_with_Euler_transform] A000290 7.34173 [-(92*f(x)-63)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+x) ogf] A000290 7.47402 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A000292 15.8481 [x/(x-1)^4 ogf] A000292 27.7342 [4/(-x+1) lgdogf] A000292 6.36524 [-(14*f(x)+9)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A000292 7.53941 [{(n+1)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=1} ogf] A000292 85.0154 [-4/(-1+x) lgdogf] A000294 32.1032 [1/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A000295 16.3094 [-(6*x-4)/(2*x^2-3*x+1) lgdogf] A000295 19.0940 [-x^2/(2*x-1)/(x-1)^2 ogf] A000295 29.8384 [-2*(-2+3*x)/(2*x-1)/(-1+x) lgdogf] A000295 7.11684 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A000295 9.66484 [2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A000296 17.1054 [-a(n)+(n+1)*a(n+1),a(0)=0,a(1)=1 lgdegf] A000296 28.6032 [-1+exp(x) lgdegf] A000297 11.0028 [x*(x-2)^2/(x-1)^4 ogf] A000297 16.7334 [-(-2*x+6)/(-x^2+3*x-2) lgdogf] A000297 35.9902 [-2*(-3+x)/(-1+x)/(x-2) lgdogf] A000297 5.35470 [{(-4-2*n)*a(n+3)+(9+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=12} ogf] A000297 5.82033 [(268*f(x)+1793)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+4*x^2+f(x)-4*x) ogf] A000302 13.8040 [{a(n+1)-4*a(n),a(0)=1} ogf] A000302 17.5075 [-4*f(x)*x+f(x)-1 ogf] A000302 25.6361 [4/(-4*x+1) lgdogf] A000302 34.1814 [-1/(4*x-1) ogf] A000302 54.2257 [1/4*ln(1+4*x) revegf] A000302 64.0850 [-4/(-1+4*x) lgdogf] A000305 3.30698 [f(x)^3*x^4+11*f(x)^3*x^3-f(x)^3*x^2+3*f(x)^2*x^3+26*f(x)^2*x^2-4*f(x)^2*x+3*f(x)*x^2+19*f(x)*x-4*f(x)+x+4 ogf] A000305 9.38727 [1/2/(x+1)^2*(-11*x^2-15*x-4+((x+1)*(5*x+1)*(4+5*x)^2)^(1/2)) revogf] A000309 16.4337 [1/54+2/3*x-1/54*(-(12*x-1)^3)^(1/2) revogf] A000309 4.69730 [{(27*n^2+81*n+60)*a(n+1)+(-2*n^2-11*n-15)*a(n+2),a(0)=1,a(1)=1} ogf] A000309 8.72116 [-16*f(x)^3*x^2-8*f(x)^2*x+36*f(x)*x-f(x)-27*x+1 ogf] A000311 19.6595 [2*x+1-exp(x) revegf] A000311 51.6763 [1+2*x-exp(x) revegf] A000312 8.76435 [(ln(x-1)-I*Pi)*(x-1) revegf] A000313 18.0291 [-(-1-x)/(-x+1) lgdegf] A000313 4.42431 [{(n^2+5*n+6)*a(n+1)+(n^2+3*n)*a(n+2)-n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A000313 7.97808 [-(24+60*x+x^7-52*x^4+77*x^3-8*x^6+30*x^5-12*x^2)/(-1+x)/(x^6-6*x^5+18*x^4-22*x^3+27*x^2+6) lgdegf] A000321 111.588 [-1-2*x lgdegf] A000321 6.39616 [{(2*n+4)*a(n+1)+a(n+3)+a(n+2),a(0)=1,a(1)=-1,a(2)=-1} ogf] A000322 4.56158 [(3*f(x)-5)*(f(x)*x^5+f(x)*x^4+f(x)*x^3-3*x^4+f(x)*x^2-2*x^3+f(x)*x-x^2-f(x)+1) ogf] A000322 7.90078 [-(-1+4*x^7-15*x^4+4*x^3+3*x^8+2*x^6-4*x^5+2*x^2)/(3*x^4+2*x^3+x^2-1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A000322 8.14934 [(3*x^4+2*x^3+x^2-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A000325 11.4767 [-(3*x^2-3*x+1)/(2*x-1)/(x-1)^2 ogf] A000325 13.7243 [-(-1+3*x+6*x^3-6*x^2)/(-1+x)/(2*x-1)/(3*x^2-3*x+1) lgdogf] A000325 6.08764 [-(3*f(x)-1)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A000325 6.25071 [{-a(n+3)+4*a(n+2)-5*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A000325 8.53755 [-(-6*x^3+6*x^2-3*x+1)/(-6*x^4+15*x^3-14*x^2+6*x-1) lgdogf] A000326 13.4418 [-x*(2*x+1)/(x-1)^3 ogf] A000326 15.9621 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A000326 32.8100 [-(5+4*x)/(2*x+1)/(-1+x) lgdogf] A000326 6.78035 [-(27*f(x)-26)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+x) ogf] A000326 6.90252 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A000330 12.7084 [(x+1)*x/(x-1)^4 ogf] A000330 18.7738 [-(3*x+5)/(x^2-1) lgdogf] A000330 38.7917 [-(3*x+5)/(-1+x)/(1+x) lgdogf] A000330 39.1033 [[5-x] ogf_with_Euler_transform] A000330 6.11886 [-(2144*f(x)+1793)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-x) ogf] A000330 6.21086 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=5} ogf] A000332 13.6616 [-x^4/(x-1)^5 ogf] A000332 28.7869 [5/(-x+1) lgdogf] A000332 5.92671 [{(-2+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A000332 6.77338 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A000332 89.5592 [-5/(-1+x) lgdogf] A000337 13.6095 [-(6*x-5)/(2*x^2-3*x+1) lgdogf] A000337 14.5168 [-x/(x-1)/(2*x-1)^2 ogf] A000337 26.7981 [-(-5+6*x)/(2*x-1)/(-1+x) lgdogf] A000337 5.88519 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A000337 8.05171 [(5*f(x)+1)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-f(x)+x) ogf] A000338 13.9039 [(2*x-5)*(x^2+x+1)/(x-1)^3 ogf] A000338 14.5359 [-(-3*x^2+12*x+18)/(-2*x^4+5*x^3+2*x-5) lgdogf] A000338 23.5910 [-3*(-6-4*x+x^2)/(2*x-5)/(-1+x)/(x^2+x+1) lgdogf] A000338 7.10642 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=5,a(1)=18,a(2)=42,a(3)=75} ogf] A000338 7.73682 [(117*f(x)-1505)*(f(x)*x^3-3*f(x)*x^2-2*x^3+3*f(x)*x+3*x^2-f(x)+3*x+5) ogf] A000340 12.8755 [-(9*x-5)/(3*x^2-4*x+1) lgdogf] A000340 16.7034 [-1/(3*x-1)/(x-1)^2 ogf] A000340 25.2146 [-(-5+9*x)/(3*x-1)/(-1+x) lgdogf] A000340 5.46925 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A000340 5.88594 [(2005*f(x)-1053)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A000344 12.3380 [10/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000344 21.7526 [-25+(5-20*x)*f(x)+(x-4*x^2)*f(x)^2 lgdogf] A000344 6.11887 [{(-4*n^2-30*n-56)*a(n+1)+(n^2+9*n+14)*a(n+2),a(0)=1,a(1)=5} ogf] A000346 11.7674 [2*x*(8*x+1+3*(1+8*x)^(1/2))/(1+8*x)^(1/2)/(1+(1+8*x)^(1/2))^3 revogf] A000346 4.74471 [{(-16*n-40)*a(n+1)+(8*n+26)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=5,a(2)=22} ogf] A000346 7.6113 [16*f(x)^2*x^3-8*f(x)^2*x^2+f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A000346 7.61131 [2*x*(8*x+3*(1+8*x)^(1/2)+1)/(1+8*x)^(1/2)/(1+(1+8*x)^(1/2))^3 revogf] A000351 14.1790 [{a(n+1)-5*a(n),a(0)=1} ogf] A000351 17.9831 [-5*f(x)*x+f(x)-1 ogf] A000351 26.3324 [5/(-5*x+1) lgdogf] A000351 35.1099 [-1/(5*x-1) ogf] A000351 55.7381 [1/5*ln(1+5*x) revegf] A000351 65.8723 [-5/(-1+5*x) lgdogf] A000352 10.1395 [-(6*x-5)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A000352 10.6115 [-(-29+141*x+108*x^3-216*x^2)/(6*x-5)/(-1+x)/(3*x-1)/(2*x-1) lgdogf] A000352 5.2039 [-(166223191*f(x)-2102703192)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x+f(x)+6*x-5) ogf] A000352 7.01965 [-(108*x^3-216*x^2+141*x-29)/(36*x^4-96*x^3+91*x^2-36*x+5) lgdogf] A000354 16.8510 [-(-1-2*x)/(-2*x+1) lgdegf] A000354 30.5292 [-1-2*x+(1-2*x)*f(x) lgdegf] A000354 5.03014 [{(-2*n-4)*a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A000356 4.16214 [{(16*n^2+96*n+140)*a(n+1)+(-n^2-9*n-20)*a(n+2),a(0)=1,a(1)=5} ogf] A000363 6.21454 [-(675*x^3-963*x^2+445*x-61)/(135*x^4-282*x^3+196*x^2-54*x+5) lgdogf] A000363 6.79264 [-(9*x-5)/(5*x-1)/(3*x-1)^2/(x-1)^3 ogf] A000363 9.69804 [-(-61+445*x+675*x^3-963*x^2)/(-1+x)/(9*x-5)/(3*x-1)/(5*x-1) lgdogf] A000381 2.06414 [-(f(x)-6)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)+x-2) ogf] A000381 3.77777 [-(2*x^2+x-2)/(x-1)/(x^2+x-1) ogf] A000382 5.75266 [-(946*f(x)-915)*(f(x)*x^4+x^4+4*x^3-2*f(x)*x+2*x^2+f(x)+x-6) ogf] A000382 7.94369 [-(11-4*x+9*x^4-12*x^3+4*x^6+4*x^5-8*x^2)/(-1+x)/(x^3+x^2+x-1)/(x^4+4*x^3+2*x^2+x-6) lgdogf] A000382 9.75452 [-(x^4+4*x^3+2*x^2+x-6)/(x-1)/(x^3+x^2+x-1) ogf] A000383 7.28871 [-(-1+6*x^9+5*x^4+4*x^3+4*x^10+5*x^8-10*x^6-26*x^5+2*x^2)/(4*x^5+3*x^4+2*x^3+x^2-1)/(x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A000383 7.63451 [(4*x^5+3*x^4+2*x^3+x^2-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A000384 14.5431 [-x*(3*x+1)/(x-1)^3 ogf] A000384 17.2700 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A000384 35.5340 [-6*(1+x)/(3*x+1)/(-1+x) lgdogf] A000384 7.08511 [-(1072*f(x)-1365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+x) ogf] A000384 7.46809 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A000387 10.7573 [-x*(12-6*x^3+15*x^2+x^4-16*x)/(-1+x)/(x^4-4*x^3+7*x^2-4*x+2) lgdegf] A000387 21.2625 [-x/(x-1) lgdegf] A000387 4.25251 [{(-n^2-5*n-6)*a(n+1)+(-n^2-3*n)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A000389 11.8176 [x^5/(x-1)^6 ogf] A000389 28.7000 [6/(-x+1) lgdogf] A000389 5.46666 [{(-3+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A000389 89.7041 [-6/(-1+x) lgdogf] A000392 14.4878 [-x^3/(x-1)/(3*x-1)/(2*x-1) ogf] A000392 16.5777 [-2*(3-11*x+9*x^2)/(-1+x)/(3*x-1)/(2*x-1) lgdogf] A000392 5.12646 [{-a(n+4)+6*a(n+3)-11*a(n+2)+6*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A000392 6.66441 [-f(x)*(6*f(x)*x^3-11*f(x)*x^2+x^3+6*f(x)*x-f(x)) ogf] A000392 9.94687 [-(18*x^2-22*x+6)/(6*x^3-11*x^2+6*x-1) lgdogf] A000400 14.2303 [{a(n+1)-6*a(n),a(0)=1} ogf] A000400 18.0482 [-6*f(x)*x+f(x)-1 ogf] A000400 26.4277 [6/(-6*x+1) lgdogf] A000400 35.2370 [-1/(6*x-1) ogf] A000400 55.9564 [1/6*ln(1+6*x) revegf] A000400 72.7434 [-6/(6*x-1) lgdogf] A000407 21.0467 [6/(-4*x+1) lgdegf] A000407 33.9985 [x*(1+x)/(1+2*x)^2 revegf] A000407 52.5432 [-6/(-1+4*x) lgdegf] A000407 6.62144 [{(-4*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A000407 7.01558 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 egf] A000420 13.7313 [{a(n+1)-7*a(n),a(0)=1} ogf] A000420 17.4154 [-7*f(x)*x+f(x)-1 ogf] A000420 25.5011 [7/(-7*x+1) lgdogf] A000420 34.0014 [-1/(7*x-1) ogf] A000420 53.9743 [1/7*ln(1+7*x) revegf] A000420 63.7878 [-7/(-1+7*x) lgdogf] A000422 7.32018 [441-1260*x+900*x^2+(-42+522*x+600*x^3-1080*x^2)*f(x)+(100*x^4+141*x^2+1-22*x-220*x^3)*f(x)^2 lgdogf] A000431 15.3358 [-(24*x-8)/(8*x^2-6*x+1) lgdogf] A000431 15.9883 [-2*x^3/(4*x-1)/(2*x-1)^2 ogf] A000431 26.7198 [-8*(-1+3*x)/(-1+4*x)/(2*x-1) lgdogf] A000431 5.73627 [{-a(n+4)+8*a(n+3)-20*a(n+2)+16*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A000431 7.44011 [-f(x)*(16*f(x)*x^3-20*f(x)*x^2+2*x^3+8*f(x)*x-f(x)) ogf] A000439 10.2151 [(2*x-3)*(x^2-3*x+3)/(x-1)^5 ogf] A000439 10.4526 [-(-4*x^3+21*x^2-42*x+30)/(-2*x^4+11*x^3-24*x^2+24*x-9) lgdogf] A000439 17.3310 [-(-30+42*x+4*x^3-21*x^2)/(-1+x)/(2*x-3)/(x^2-3*x+3) lgdogf] A000439 4.91217 [{(3*n^2+29*n+60)*a(n+1)+(-8*n^2-80*n-188)*a(n+2)+(5*n^2+43*n+84)*a(n+3),a(0)=9,a(1)=30,a(2)=69} ogf] A000442 6.83906 [{(-n^3-6*n^2-12*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A000447 12.7971 [x*(x^2+6*x+1)/(x-1)^4 ogf] A000447 14.1544 [-(2*x^2+20*x+10)/(x^3+5*x^2-5*x-1) lgdogf] A000447 27.1383 [-2*(5+10*x+x^2)/(-1+x)/(x^2+6*x+1) lgdogf] A000447 4.91678 [{(n+3)*a(n+4)+5*n*a(n+3)+(-25-5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=35} ogf] A000447 6.62545 [-(400*f(x)+969)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-6*x^2+f(x)-x) ogf] A000449 3.65160 [{(n^2+11*n+30)*a(n+1)+(n^2+8*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=10} ogf] A000449 6.46950 [-x*(60+x^6-124*x^3+165*x^2-12*x^5+54*x^4-120*x)/(-1+x)/(x^6-9*x^5+30*x^4-49*x^3+45*x^2-18*x+6) lgdegf] A000453 12.2738 [-2*(-5+35*x+48*x^3-75*x^2)/(-1+x)/(3*x-1)/(2*x-1)/(-1+4*x) lgdogf] A000453 13.6716 [1/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A000453 5.40743 [(28342193*f(x)+5605632)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A000453 8.14152 [-(-96*x^3+150*x^2-70*x+10)/(-24*x^4+50*x^3-35*x^2+10*x-1) lgdogf] A000457 11.1062 [-(15*x+10)/(6*x^2-x-1) lgdegf] A000457 20.9222 [-5*(2+3*x)/(3*x+1)/(2*x-1) lgdegf] A000457 4.82877 [{(-2*n^2-13*n-21)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=10} ogf] A000460 7.19885 [-(96*x^4-102*x^3-15*x^2+44*x-11)/(24*x^5-50*x^4+29*x^3+x^2-5*x+1) lgdogf] A000460 8.30636 [-(4*x^2-x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A000460 8.53038 [-(-11+44*x+96*x^4-102*x^3-15*x^2)/(-1+x)/(3*x-1)/(2*x-1)/(4*x^2-x-1) lgdogf] A000463 11.6150 [-(-3*x^4+4*x^3-8*x^2-4*x-1)/(-x^5+x^4-2*x^2+x+1) lgdogf] A000463 14.0016 [-(x^3-x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A000463 18.9626 [-(1+4*x+3*x^4-4*x^3+8*x^2)/(-1+x)/(1+x)/(x^3-x^2+x+1) lgdogf] A000466 11.5854 [-(-3*x^2-18*x-3)/(-3*x^3-3*x^2+7*x-1) lgdogf] A000466 12.3451 [-(3*x^2+6*x-1)/(x-1)^3 ogf] A000466 21.1915 [-3*(1+6*x+x^2)/(-1+x)/(3*x^2+6*x-1) lgdogf] A000466 6.60573 [(32*f(x)-103)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+6*x-1) ogf] A000466 6.66419 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=3,a(2)=15} ogf] A000475 3.77568 [{(n^2+13*n+42)*a(n+1)+(n^2+9*n+14)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=15} ogf] A000478 7.90801 [-(12*x^3-40*x^2+45*x-15)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A000478 8.43676 [-(-105+700*x-1044*x^4+1974*x^3+216*x^5-1729*x^2)/(-1+x)/(3*x-1)/(2*x-1)/(12*x^3-40*x^2+45*x-15) lgdogf] A000481 12.4906 [-1/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A000481 28.5742 [-(15-170*x+600*x^4-1096*x^3+675*x^2)/(-1+x)/(-1+4*x)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A000481 6.68354 [-(-600*x^4+1096*x^3-675*x^2+170*x-15)/(-120*x^5+274*x^4-225*x^3+85*x^2-15*x+1) lgdogf] A000486 6.31104 [-(-75+799*x-6216*x^4+6508*x^3+2304*x^5-3284*x^2)/(-1+x)/(3*x-1)/(2*x-1)/(-1+4*x)/(24*x^2-29*x+8) lgdogf] A000486 6.37153 [2*(24*x^2-29*x+8)/(4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A000487 10.9025 [-(-17+184*x+720*x^3-636*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(-1+4*x) lgdogf] A000487 7.27995 [-(720*x^3-636*x^2+184*x-17)/(144*x^4-180*x^3+80*x^2-15*x+1) lgdogf] A000487 7.35908 [-16*(3*x-1)/(6*x-1)/(4*x-1)^2/(2*x-1)^3 ogf] A000493 5.25134 [x^4*(x^6-x^5+x^4-x^3+x^2-x+1)*(x^12+x^11-x^9-x^8+x^6-x^4-x^3+x+1)/(x-1)/(x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A000496 8.78905 [-(4*x^8+10*x^7+6*x^6+3*x^5-13*x^4-2*x^3+x-1)/(x-1)/(x^3+x^2+x-1) ogf] A000496 9.88706 [-(11-4*x+9*x^4-12*x^3+4*x^6+4*x^5-8*x^2)/(-1+x)/(x^3+x^2+x-1)/(x^4+4*x^3+2*x^2+x-6) lgdogf] A000497 3.07709 [{(-4*n^2-30*n-56)*a(n+1)+(-2*n^2-19*n-55)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=25,a(2)=490} ogf] A000497 5.98131 [-(-20*x^3-285*x^2-330*x-50)/(-8*x^4-74*x^3-17*x^2+24*x+2) lgdegf] A000497 9.47722 [-5*(10+66*x+4*x^3+57*x^2)/(2*x-1)/(4*x^3+39*x^2+28*x+2) lgdegf] A000504 8.21981 [-21*(16+276*x+60*x^4+585*x^3+864*x^2)/(2*x-1)/(180*x^4+1285*x^3+1299*x^2+246*x+6) lgdegf] A000515 13.8978 [hypergeom([1/2,3/2],[1],16*x) ogf] A000515 5.60394 [{(16*n^2+64*n+60)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=12} ogf] A000520 10.5009 [-(-27*x^28+28*x^27+1)/(x^29-x^28+x-1) lgdogf] A000520 11.5314 [(-1-28*x^27+27*x^28)/(-1+x)/(x^4+1)/(x^24-x^20+x^16-x^12+x^8-x^4+1) lgdogf] A000520 16.8928 [-x^3*(x^4+1)*(x^24-x^20+x^16-x^12+x^8-x^4+1)/(x-1) ogf] A000522 21.3724 [-(-2+x)/(-x+1) lgdegf] A000522 39.7817 [-2+x+(1-x)*f(x) lgdegf] A000522 6.37981 [{(-n-2)*a(n+1)+(n+4)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A000529 11.9534 [(x-2)*(3*x^3-12*x^2+18*x-10)/(x-1)^6 ogf] A000529 12.0651 [-(6*x^4-42*x^3+114*x^2-146*x+74)/(3*x^5-21*x^4+60*x^3-88*x^2+66*x-20) lgdogf] A000529 18.7547 [-2*(37-73*x+3*x^4-21*x^3+57*x^2)/(-1+x)/(x-2)/(3*x^3-12*x^2+18*x-10) lgdogf] A000531 3.81362 [{(-16*n-56)*a(n+1)+(8*n+30)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=7,a(2)=38} ogf] A000531 4.35036 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2+f(x)^2*x+16*f(x)*x^2-8*f(x)*x+f(x)-1 ogf] A000533 10.6403 [-(11-40*x+110*x^2)/(-1+x)/(10*x-1)/(10*x^2-1) lgdogf] A000533 4.58079 [{a(n+3)-11*a(n+2)+10*a(n+1),a(0)=1,a(1)=11,a(2)=101} ogf] A000533 5.00149 [-(81*f(x)+40)*(10*f(x)*x^2-11*f(x)*x+10*x^2+f(x)-1) ogf] A000533 6.71432 [-(110*x^2-40*x+11)/(100*x^4-110*x^3+11*x-1) lgdogf] A000533 9.42587 [-(10*x^2-1)/(10*x-1)/(x-1) ogf] A000534 4.17003 [x*(36*x^16+32*x^15+60*x^14+55*x^13+36*x^12+27*x^11+20*x^10+19*x^9+18*x^8+13*x^7+11*x^6+4*x^5+2*x^4-x^3-3*x^2-2*x-1)/(4*x^3-1) ogf] A000536 11.9042 [{(-n^2-13*n-42)*a(n+1)+(-n^2-11*n-28)*a(n+2)+(n+3)*a(n+3),a(0)=24,a(1)=240,a(2)=2520} ogf] A000536 15.6506 [-(240+840*x+x^9+50*x^7-86*x^4+620*x^3-10*x^8-120*x^6+265*x^5+720*x^2)/(-1+x)/(x^8-8*x^7+34*x^6-64*x^5+125*x^4-16*x^3+168*x^2+96*x+24) lgdegf] A000537 12.4561 [-(3*x^2+18*x+9)/(x^3+3*x^2-3*x-1) lgdogf] A000537 24.2017 [-3*(3+6*x+x^2)/(-1+x)/(x^2+4*x+1) lgdogf] A000537 4.10988 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-21-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=36} ogf] A000537 9.75478 [-x*(x^2+4*x+1)/(x-1)^5 ogf] A000538 10.3890 [-(3*x^3+47*x^2+77*x+17)/(x^4+10*x^3-10*x-1) lgdogf] A000538 16.1079 [-(17+77*x+3*x^3+47*x^2)/(-1+x)/(1+x)/(x^2+10*x+1) lgdogf] A000538 4.44419 [{(-4*n^2-25*n-39)*a(n+1)+(8*n^2+40*n+83)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=1,a(2)=17} ogf] A000538 7.84269 [x*(x+1)*(x^2+10*x+1)/(x-1)^6 ogf] A000539 11.7812 [-3*(11+96*x+x^4+36*x^3+136*x^2)/(-1+x)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A000539 6.46735 [-x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^7 ogf] A000539 7.25310 [-(-3*x^4-108*x^3-408*x^2-288*x-33)/(-x^5-25*x^4-40*x^3+40*x^2+25*x+1) lgdogf] A000540 5.28391 [x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^8 ogf] A000540 8.58532 [-(65+1003*x+233*x^4+1738*x^3+3*x^5+2718*x^2)/(-1+x)/(1+x)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A000541 4.45536 [-x*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^9 ogf] A000541 6.69554 [-3*(43+1114*x+2185*x^4+6420*x^3+x^6+162*x^5+5195*x^2)/(-1+x)/(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1) lgdogf] A000542 3.65312 [x*(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^10 ogf] A000543 3.76477 [-x*(x+1)*(x^6+13*x^5+149*x^4+514*x^3+149*x^2+13*x+1)/(x-1)^9 ogf] A000543 5.46655 [-(23+436*x+2*x^7+4125*x^4+6630*x^3+49*x^6+732*x^5+3123*x^2)/(-1+x)/(1+x)/(x^6+13*x^5+149*x^4+514*x^3+149*x^2+13*x+1) lgdogf] A000554 4.26085 [{(-2*n^2-26*n-84)*a(n+1)+(3*n^2+33*n+84)*a(n+2)+(-n^2-9*n-20)*a(n+3),a(0)=12,a(1)=60,a(2)=210} ogf] A000554 7.15353 [2*(4*x^4-18*x^3+33*x^2-24*x+6)/(2*x-1)^3/(x-1)^3 ogf] A000554 7.72852 [-(-30+150*x-96*x^4+248*x^3+16*x^5-285*x^2)/(-1+x)/(2*x-1)/(4*x^4-18*x^3+33*x^2-24*x+6) lgdogf] A000561 11.1240 [-(-4*x^3-2*x^2+70*x+44)/(-4*x^4+9*x^3+15*x^2-14*x-6) lgdogf] A000561 11.9797 [-(4*x^3-5*x^2-20*x-6)/(x-1)^4 ogf] A000561 18.0288 [-2*(-22-35*x+2*x^3+x^2)/(-1+x)/(4*x^3-5*x^2-20*x-6) lgdogf] A000561 4.64885 [{(-299*n^2-2203*n-3210)*a(n+1)+(-167*n^2-2980*n-9384)*a(n+2)+(466*n^2+2888*n+4470)*a(n+3),a(0)=6,a(1)=44,a(2)=145} ogf] A000561 6.31363 [(41877*f(x)+1356367)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-5*x^2+f(x)-20*x-6) ogf] A000562 11.6707 [-(-95-270*x+6*x^4+14*x^3-60*x^2)/(-1+x)/(2*x^5-4*x^4+15*x^3-35*x^2-50*x-9) lgdogf] A000562 7.76958 [-(-6*x^4-14*x^3+60*x^2+270*x+95)/(-2*x^6+6*x^5-19*x^4+50*x^3+15*x^2-41*x-9) lgdogf] A000562 8.28266 [(2*x^5-4*x^4+15*x^3-35*x^2-50*x-9)/(x-1)^5 ogf] A000563 6.13534 [-(8*x^5-6*x^4+10*x^3-128*x^2-114*x-13)/(x-1)^6 ogf] A000563 8.26163 [-2*(-96-413*x+14*x^4+3*x^3+4*x^5-241*x^2)/(-1+x)/(8*x^5-6*x^4+10*x^3-128*x^2-114*x-13) lgdogf] A000564 4.41763 [(2*x^7-4*x^6+36*x^5-29*x^4-72*x^3-411*x^2-231*x-20)/(x-1)^7 ogf] A000564 5.65479 [-(-371-2208*x+93*x^4-404*x^3+10*x^6+48*x^5-2271*x^2)/(-1+x)/(2*x^7-4*x^6+36*x^5-29*x^4-72*x^3-411*x^2-231*x-20) lgdogf] A000565 4.14353 [-(12*x^7-6*x^6+88*x^5-131*x^4-548*x^3-1123*x^2-448*x-31)/(x-1)^8 ogf] A000565 5.26202 [-6*(-116-897*x+2*x^7-14*x^4-544*x^3+12*x^6+38*x^5-1397*x^2)/(-1+x)/(12*x^7-6*x^6+88*x^5-131*x^4-548*x^3-1123*x^2-448*x-31) lgdogf] A000566 14.7479 [-x*(4*x+1)/(x-1)^3 ogf] A000566 17.5132 [-(-8*x-7)/(-4*x^2+3*x+1) lgdogf] A000566 36.0416 [-(7+8*x)/(4*x+1)/(-1+x) lgdogf] A000566 7.30985 [-(175*f(x)-279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+x) ogf] A000566 7.57327 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A000567 12.8131 [-x*(5*x+1)/(x-1)^3 ogf] A000567 14.9051 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A000567 28.7598 [-2*(4+5*x)/(5*x+1)/(-1+x) lgdogf] A000567 6.2423 [-(4860*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+x) ogf] A000567 6.57972 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A000570 8.93923 [-(1+2*x+2*x^7+3*x^4+6*x^3+x^8+3*x^6+2*x^5+5*x^2)/(x^4+x^3+x^2+1)/(x^5+x^4+x^3+x-1) lgdogf] A000570 9.22790 [-(x^4+x^3+x^2+1)/(x^5+x^4+x^3+x-1) ogf] A000574 14.9791 [-(-10*x+16)/(-2*x^2+5*x-3) lgdogf] A000574 28.2547 [-2*(-8+5*x)/(-1+x)/(2*x-3) lgdogf] A000574 4.86335 [{(3*n+9)*a(n+3)+(-26-5*n)*a(n+2)+(12+2*n)*a(n+1),a(0)=3,a(1)=16,a(2)=51} ogf] A000574 9.36195 [-(2*x-3)/(x-1)^6 ogf] A000575 13.1871 [-2*(-40+75*x+14*x^3-54*x^2)/(-1+x)/(4*x^3-15*x^2+20*x-10) lgdogf] A000575 4.15908 [{(n^2+21*n+104)*a(n+1)+(-2*n^2-29*n-74)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=10,a(1)=80,a(2)=365} ogf] A000575 5.35154 [-(4*x^3-15*x^2+20*x-10)/(x-1)^10 ogf] A000575 8.50300 [-(-28*x^3+108*x^2-150*x+80)/(-4*x^4+19*x^3-35*x^2+30*x-10) lgdogf] A000578 10.5811 [x*(x^2+4*x+1)/(x-1)^4 ogf] A000578 11.8834 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A000578 23.0691 [-2*(4+7*x+x^2)/(-1+x)/(x^2+4*x+1) lgdogf] A000578 3.92093 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=27} ogf] A000578 5.4396 [-(660*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-4*x^2+f(x)-x) ogf] A000579 10.2043 [-x^6/(x-1)^7 ogf] A000579 28.0618 [7/(-x+1) lgdogf] A000579 4.97298 [{(-4+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=1} ogf] A000579 88.1232 [-7/(-1+x) lgdogf] A000580 24.1606 [8/(-x+1) lgdogf] A000580 6.50477 [{(-n-2)*a(n+2)+(9+n)*a(n+1),a(0)=1,a(1)=8} ogf] A000580 73.6400 [-8/(-1+x) lgdogf] A000580 8.24995 [1/(x-1)^8 ogf] A000581 28.5965 [9/(-x+1) lgdogf] A000581 7.62572 [{(-n-2)*a(n+2)+(10+n)*a(n+1),a(0)=1,a(1)=9} ogf] A000581 74.8264 [-9/(-1+x) lgdogf] A000581 8.25465 [-1/(x-1)^9 ogf] A000582 26.4062 [10/(-x+1) lgdogf] A000582 7.09056 [1/(x-1)^10 ogf] A000582 7.22434 [{(-n-2)*a(n+2)+(11+n)*a(n+1),a(0)=1,a(1)=10} ogf] A000582 75.2044 [-10/(-1+x) lgdogf] A000583 14.6197 [-2*(8+33*x+x^3+18*x^2)/(-1+x)/(1+x)/(x^2+10*x+1) lgdogf] A000583 3.95736 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+32*n+72)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=1,a(2)=16} ogf] A000583 7.65941 [-x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A000583 9.25097 [-(2*x^3+36*x^2+66*x+16)/(x^4+10*x^3-10*x-1) lgdogf] A000584 10.3582 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(-1+x)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A000584 6.25086 [x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A000587 16.4666 [(n+2)*a(n+2)-a(n+1),a(0)=-1,a(1)=-1 lgdegf] A000587 29.7121 [-exp(x) lgdegf] A000588 12.5094 [14/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000588 22.3453 [-49+(7-28*x)*f(x)+(x-4*x^2)*f(x)^2 lgdogf] A000588 5.33618 [{(-4*n^2-14*n-12)*a(n+1)+(n^2+5*n-6)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A000588 7.63075 [f(x)^2*x^4+7*f(x)*x^3-14*f(x)*x^2+x^3+7*f(x)*x-f(x) ogf] A000589 12.0870 [22/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000589 20.1276 [-121+(11-44*x)*f(x)+(x-4*x^2)*f(x)^2 lgdogf] A000589 5.85165 [{(-4*n^2-54*n-182)*a(n+1)+(n^2+15*n+26)*a(n+2),a(0)=1,a(1)=11} ogf] A000590 12.4517 [26/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A000590 20.7456 [-169+(13-52*x)*f(x)+(x-4*x^2)*f(x)^2 lgdogf] A000590 6.02821 [{(-4*n^2-62*n-240)*a(n+1)+(n^2+17*n+30)*a(n+2),a(0)=1,a(1)=13} ogf] A000594 25.3526 [24/(x-1) ogf_with_Euler_transform] A000594 99.9999 Evaluated at exp(-Pi) 1/512*exp(Pi)*Pi^6/GAMMA(3/4)^24 A000596 4.25009 [{(2*n^2+19*n+45)*a(n+1)+(-74*n^2-907*n-2841)*a(n+2)+(72*n^2+468*n+756)*a(n+3),a(0)=4,a(1)=49,a(2)=273} ogf] A000596 7.54689 [-(x^3+14*x^2+21*x+4)/(x-1)^7 ogf] A000596 7.82024 [-(49+154*x+4*x^3+73*x^2)/(-1+x)/(x^3+14*x^2+21*x+4) lgdogf] A000596 9.38973 [-(4*x^3+73*x^2+154*x+49)/(x^4+13*x^3+7*x^2-17*x-4) lgdogf] A000597 4.54545 [(x^5+75*x^4+603*x^3+1065*x^2+460*x+36)/(x-1)^10 ogf] A000601 11.2471 [-(7*x^3+9*x^2+6*x+2)/(x^4+x^3-x-1) lgdogf] A000601 15.2790 [1/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A000601 18.4684 [-(2+6*x+7*x^3+9*x^2)/(-1+x)/(1+x)/(x^2+x+1) lgdogf] A000601 32.2243 [x^2+x+2 ogf_with_Euler_transform] A000655 13.4768 [(x^3-2*x^2-2*x-1)/(x-1) ogf] A000655 15.8351 [(3+4*x+2*x^3-5*x^2)/(-1+x)/(x^3-2*x^2-2*x-1) lgdogf] A000655 7.44032 [{a(n+4)-a(n+3),a(0)=1,a(1)=3,a(2)=5,a(3)=4} ogf] A000655 7.93634 [-(79*f(x)+649)*(-x^3+f(x)*x+2*x^2-f(x)+2*x+1) ogf] A000655 9.92043 [-(-2*x^3+5*x^2-4*x-3)/(x^4-3*x^3+x+1) lgdogf] A000680 7.05351 [{(2*n^2+7*n+6)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A000681 4.15714 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-2*n^2-12*n-18)*a(n+2)+2*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A000689 10.5085 [-(5*x^3+3*x^2+x+1)/(x^2+1)/(x-1) ogf] A000689 11.5985 [-2*(1+2*x+4*x^4-4*x^3+7*x^2)/(-1+x)/(x^2+1)/(5*x^3+3*x^2+x+1) lgdogf] A000689 5.49306 [{-a(n+4)+a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A000689 6.09314 [(f(x)-1)*(f(x)*x^3-f(x)*x^2+5*x^3+f(x)*x+3*x^2-f(x)+x+1) ogf] A000700 17.8870 [-(-x^2+x-1)/(-x^4+1) ogf_with_Euler_transform] A000700 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)*2^(1/4) A000710 19.3901 [-(-x^4+2)/(x-1) ogf_with_Euler_transform] A000711 19.4243 [-(-x^4+3)/(x-1) ogf_with_Euler_transform] A000712 31.7198 [2/(-x+1) ogf_with_Euler_transform] A000712 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)/Pi^(1/2)*2^(3/4)*GAMMA(3/4)^2 A000713 22.0559 [-(-3+x)/(-x+1) ogf_with_Euler_transform] A000714 16.0608 [-(-x^2+3)/(x-1) ogf_with_Euler_transform] A000715 19.2509 [-(-x^3+3)/(x-1) ogf_with_Euler_transform] A000716 37.3944 [3/(-x+1) ogf_with_Euler_transform] A000716 99.9999 Evaluated at exp(-Pi) 2*exp(-1/8*Pi)/Pi^(3/4)*2^(1/8)*GAMMA(3/4)^3 A000726 20.1326 [-(-x-1)/(-x^3+1) ogf_with_Euler_transform] A000727 34.2767 [4/(x-1) ogf_with_Euler_transform] A000727 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/6*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A000728 27.0504 [5/(x-1) ogf_with_Euler_transform] A000728 99.9999 Evaluated at exp(-Pi) 1/4*exp(5/24*Pi)*Pi^(5/4)*2^(1/8)/GAMMA(3/4)^5 A000729 31.7307 [6/(x-1) ogf_with_Euler_transform] A000729 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/4*Pi)*Pi^(3/2)*2^(3/4)/GAMMA(3/4)^6 A000730 25.1240 [7/(x-1) ogf_with_Euler_transform] A000730 99.9999 Evaluated at exp(-Pi) 1/8*exp(7/24*Pi)*Pi^(7/4)*2^(3/8)/GAMMA(3/4)^7 A000731 30.4619 [8/(x-1) ogf_with_Euler_transform] A000731 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/3*Pi)*Pi^2/GAMMA(3/4)^8 A000735 29.8514 [12/(x-1) ogf_with_Euler_transform] A000735 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/2*Pi)*Pi^3*2^(1/2)/GAMMA(3/4)^12 A000739 22.8927 [16/(x-1) ogf_with_Euler_transform] A000739 99.9999 Evaluated at exp(-Pi) 1/64*exp(2/3*Pi)*Pi^4/GAMMA(3/4)^16 A000748 15.2324 [-(-3-6*x)/(-3*x^2-3*x-1) lgdogf] A000748 25.2123 [1/(3*x^2+3*x+1) ogf] A000748 33.1930 [-3*(2*x+1)/(3*x^2+1+3*x) lgdogf] A000748 8.91654 [{a(n+2)+3*a(n+1)+3*a(n),a(0)=1,a(1)=-3} ogf] A000748 9.0266 [(f(x)+2)*(3*f(x)*x^2+3*f(x)*x+f(x)-1) ogf] A000749 10.8997 [-(-12*x^2+12*x-4)/(-4*x^3+6*x^2-4*x+1) lgdogf] A000749 15.9862 [-x^3/(2*x-1)/(2*x^2-2*x+1) ogf] A000749 18.3552 [-4*(-3*x+1+3*x^2)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A000749 5.57657 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A000749 7.26644 [-f(x)*(4*f(x)*x^3-6*f(x)*x^2+x^3+4*f(x)*x-f(x)) ogf] A000750 11.7734 [-5*(2*x+1)*(2*x^2+2*x+1)/(10*x^2+1+5*x+5*x^4+10*x^3) lgdogf] A000750 12.1575 [1/(5*x^4+10*x^3+10*x^2+5*x+1) ogf] A000750 5.89073 [-5*f(x)*x^4-10*f(x)*x^3-10*f(x)*x^2-5*f(x)*x-f(x)+1 ogf] A000757 3.21260 [{(-n-2)*a(n+1)+(-2*n-4)*a(n+2)+(-n-1)*a(n+3)+a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A000770 7.13559 [-(-21+350*x-8820*x^4+6496*x^3+4320*x^5-2205*x^2)/(-1+x)/(6*x-1)/(-1+4*x)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A000770 8.93840 [1/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A000771 5.80911 [-4*(7-161*x+16415*x^4-6769*x^3+8820*x^6-19602*x^5+1470*x^2)/(-1+x)/(6*x-1)/(-1+4*x)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A000771 7.64080 [-1/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A000773 14.3556 [x^3/(2*x-1)/(x+1)/(3*x^2-1) ogf] A000773 16.1125 [-(-1-10*x+24*x^3+9*x^2)/(2*x-1)/(1+x)/(3*x^2-1) lgdogf] A000773 6.08676 [-(3*f(x)-1)*(6*f(x)*x^4+3*f(x)*x^3-5*f(x)*x^2-x^3-f(x)*x+f(x)) ogf] A000773 9.27860 [-(24*x^3+9*x^2-10*x-1)/(6*x^4+3*x^3-5*x^2-x+1) lgdogf] A000777 4.52219 [-4*f(x)^2*x^4+9*f(x)^2*x^3-6*f(x)^2*x^2+12*f(x)*x^3+f(x)^2*x-19*f(x)*x^2-9*x^3+8*f(x)*x+12*x^2-f(x)-7*x+1 ogf] A000778 5.13966 [f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2-f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-f(x)-x+1 ogf] A000779 13.5354 [-2*(2*x+5+(1-2*x)^(1/2))/(2*x+3)/(-1+2*x) lgdegf] A000779 4.29176 [-8*f(x)^2*x^3+12*f(x)^2*x^2-6*f(x)^2*x+8*f(x)*x^2+f(x)^2-8*f(x)*x+2*f(x)-2*x-3 egf] A000779 7.86824 [-2*(2*x+5+(1-2*x)^(1/2))/(2*x+3)/(-1+2*x) lgdegf] A000780 11.3296 [(x^2-x-1)/(x-1)^3 egf] A000780 12.3412 [-(-x^2+4)/(-x^3+2*x^2-1) lgdegf] A000780 23.4113 [-(x-2)*(x+2)/(-1+x)/(x^2-x-1) lgdegf] A000780 3.07158 [{(2*n^2+8*n+8)*a(n+1)+(3*n^2+19*n+34)*a(n+2)+(n^2+7*n+16)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=4,a(2)=16,a(3)=78} ogf] A000780 6.17059 [(5*f(x)-29)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x+1) egf] A000781 4.62096 [-f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2-5*f(x)*x^3+15*f(x)*x^2-x^3-13*f(x)*x+2*x^2+3*f(x)+x-3 ogf] A000782 11.8755 [-f(x)^2*x^2-5*f(x)*x+2*f(x)-x-2 ogf] A000782 15.3119 [-1-5/2*x-1/2*x^2+1/2*((1+6*x+x^2)*(2+x)^2)^(1/2) revogf] A000782 4.08828 [{(-20*n^2-70*n-60)*a(n+1)+(-11*n^2-79*n-150)*a(n+2)+(4*n^2+32*n+60)*a(n+3),a(0)=1,a(1)=3,a(2)=8} ogf] A000782 8.59949 [-1/2*x^2-5/2*x-1+1/2*(x^4+10*x^3+29*x^2+28*x+4)^(1/2) revogf] A000792 13.1961 [(-1-4*x-6*x^4-10*x^3+3*x^6-9*x^2)/(3*x^3-1)/(x^4+2*x^2+x+1) lgdogf] A000792 13.9230 [-(x^4+2*x^2+x+1)/(3*x^3-1) ogf] A000792 7.34827 [{-a(n+5)+3*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=4} ogf] A000792 9.52572 [-(4*f(x)-3)*(3*f(x)*x^3+x^4+2*x^2-f(x)+x+1) ogf] A000803 12.6688 [-4*x^2*(3*x-2)/(x-1)/(x^3+x^2+x-1) ogf] A000803 15.0458 [-(1+9*x^4-8*x^3)/(-1+x)/(3*x-2)/(x^3+x^2+x-1) lgdogf] A000803 7.2012 [(3*f(x)+32)*(f(x)*x^4+12*x^3-2*f(x)*x-8*x^2+f(x)) ogf] A000803 9.00150 [-(9*x^4-8*x^3+1)/(3*x^5-2*x^4-6*x^2+7*x-2) lgdogf] A000806 13.5247 [(-1+(2*x+1)^(1/2))/(2*x+1) lgdegf] A000806 18.9882 [-2*x+(2+4*x)*f(x)+(4*x^2+1+4*x)*f(x)^2 lgdegf] A000806 3.30180 [{(n+2)*a(n+1)+(-2*n^2-8*n-6)*a(n+2)+(-2*n^2-16*n-30)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=-5} ogf] A000806 31.3718 [1/2*ln(1+x)*(ln(1+x)+2) revegf] A000852 5.39652 [(8-2*x-415*x^4+216*x^3-270*x^14+183*x^5+140*x^13+12*x^2+130*x^15)/(-1+x)/(10*x^15-10*x^14+61*x^5-55*x^4-4*x^3+4*x^2-6*x-1) lgdogf] A000852 6.80582 [-(10*x^15-10*x^14+61*x^5-55*x^4-4*x^3+4*x^2-6*x-1)/(x-1)^2 ogf] A000855 5.39768 [-(50*x^12+25*x^11+13*x^10-44*x^9+28*x^8-36*x^7+32*x^6+16*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A000865 14.5440 [-2*(-50+49*x)/(-1+x)/(98*x^2-98*x-1) lgdogf] A000865 5.07573 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=100,a(2)=101} ogf] A000865 5.49007 [(f(x)+4999)*(f(x)*x^2-2*f(x)*x+98*x^2+f(x)-98*x-1) ogf] A000865 8.54011 [-(-98*x+100)/(-98*x^3+196*x^2-97*x-1) lgdogf] A000865 9.78231 [-(98*x^2-98*x-1)/(x-1)^2 ogf] A000873 5.09059 [(11+3*x+122*x^4-299*x^3+8520*x^14+9230*x^12-17750*x^13+165*x^2)/(-1+x)/(710*x^14-710*x^13+61*x^4-55*x^3-4*x^2+5*x-8) lgdogf] A000873 6.51132 [-(710*x^14-710*x^13+61*x^4-55*x^3-4*x^2+5*x-8)/(x-1)^2 ogf] A000888 14.6746 [hypergeom([1/2,1/2],[2],16*x) ogf] A000888 5.96528 [{(-16*n^2-48*n-36)*a(n+1)+(n^2+5*n+6)*a(n+2),a(0)=1,a(1)=2} ogf] A000891 4.25331 [{(16*n^2+64*n+60)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=1,a(1)=3} ogf] A000894 4.00796 [{(-16*n^2-64*n-60)*a(n+1)+(n^2+5*n+6)*a(n+2),a(0)=1,a(1)=6} ogf] A000897 10.5614 [hypergeom([1/4,3/4],[1],64*x) ogf] A000897 4.19103 [{(-64*n^2-192*n-140)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=12} ogf] A000898 137.926 [2+2*x lgdegf] A000898 7.12364 [{(2*n+4)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A000904 3.35488 [{-a(n+1)+(-n-7)*a(n+2)+(-n-6)*a(n+3)+a(n+4),a(0)=0,a(1)=3,a(2)=13,a(3)=83} ogf] A000906 11.2762 [-(15*x+10)/(6*x^2-x-1) lgdegf] A000906 20.4621 [-5*(2+3*x)/(3*x+1)/(-1+2*x) lgdegf] A000906 4.90269 [{(-2*n^2-13*n-21)*a(n+1)+(n+2)*a(n+2),a(0)=2,a(1)=20} ogf] A000907 3.14434 [{(-2*n^2-15*n-28)*a(n+1)+(-12*n^2-125*n-332)*a(n+2)+(6*n+18)*a(n+3),a(0)=6,a(1)=130,a(2)=2380} ogf] A000907 6.18501 [-(10*x^3+405*x^2+690*x+130)/(4*x^4+112*x^3+71*x^2-52*x-6) lgdegf] A000907 9.67974 [-5*(26+138*x+2*x^3+81*x^2)/(-1+2*x)/(2*x^3+57*x^2+64*x+6) lgdegf] A000909 5.20685 [{(16*n^2+64*n+60)*a(n+1)-a(n+2),a(0)=1,a(1)=12} ogf] A000910 10.2670 [-5*x^6/(x-1)^7 ogf] A000910 29.7010 [7/(-x+1) lgdogf] A000910 5.26347 [{(-4+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=5} ogf] A000910 93.2172 [-7/(-1+x) lgdogf] A000911 25.7327 [10/(-4*x+1) lgdogf] A000911 61.1421 [-10/(-1+4*x) lgdogf] A000911 7.04007 [{(-n-2)*a(n+2)+(14+4*n)*a(n+1),a(0)=6,a(1)=60} ogf] A000914 10.0397 [-x*(x+2)/(x-1)^5 ogf] A000914 15.3670 [-(4*x+11)/(x^2+x-2) lgdogf] A000914 33.7304 [-(11+4*x)/(x+2)/(-1+x) lgdogf] A000914 4.98663 [{(4+2*n)*a(n+3)+(-12-n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=2,a(2)=11} ogf] A000915 14.1310 [-(274+508*x+6*x^3+157*x^2)/(-1+x)/(x^3+22*x^2+58*x+24) lgdogf] A000915 4.06494 [{(-4*n^2-57*n-203)*a(n+1)+(-7*n^2-154*n-691)*a(n+2)+(11*n^2+91*n+174)*a(n+3),a(0)=24,a(1)=274,a(2)=1624} ogf] A000915 6.06565 [-(x^3+22*x^2+58*x+24)/(x-1)^9 ogf] A000915 8.62670 [-(-6*x^3-157*x^2-508*x-274)/(-x^4-21*x^3-36*x^2+34*x+24) lgdogf] A000917 6.02021 [{(-4*n^2-26*n-42)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=3,a(1)=20} ogf] A000917 7.55598 [(-(128*x^2-38*x+3)/(-1+4*x)^(3/2)+3*I)/x/(16*x-3)*(-1+4*x)^(1/2) lgdogf] A000918 12.2151 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-1,a(1)=0} ogf] A000918 15.7051 [2*f(x)*x^2-3*f(x)*x+f(x)-3*x+1 ogf] A000918 16.2201 [-(6*x^2-4*x)/(6*x^3-11*x^2+6*x-1) lgdogf] A000918 21.9872 [(3*x-1)/(2*x-1)/(x-1) ogf] A000918 25.1833 [1/2/(-3+2*x)*(-1+3*x+(1+6*x+x^2)^(1/2)) revogf] A000918 26.5446 [-2*x*(-2+3*x)/(-1+x)/(3*x-1)/(-1+2*x) lgdogf] A000919 12.4391 [-2*(-5+35*x+48*x^3-75*x^2)/(-1+x)/(3*x-1)/(-1+2*x)/(-1+4*x) lgdogf] A000919 12.7090 [24*x^3/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A000919 7.08772 [-24*f(x)*x^4+50*f(x)*x^3-35*f(x)*x^2+24*x^3+10*f(x)*x-f(x) ogf] A000919 8.28229 [-(-96*x^3+150*x^2-70*x+10)/(-24*x^4+50*x^3-35*x^2+10*x-1) lgdogf] A000920 6.78754 [-(-21+350*x-8820*x^4+6496*x^3+4320*x^5-2205*x^2)/(-1+x)/(6*x-1)/(-1+4*x)/(3*x-1)/(-1+2*x)/(5*x-1) lgdogf] A000920 7.80119 [720*x^5/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A000930 15.7917 [-(-3*x^2-1)/(-x^3-x+1) lgdogf] A000930 28.3162 [-1/(x^3+x-1) ogf] A000930 38.3825 [-(1+3*x^2)/(-1+x+x^3) lgdogf] A000930 8.73584 [{-a(n+3)+a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A000930 9.66081 [-(f(x)-1)*(f(x)*x^3+f(x)*x-f(x)+1) ogf] A000931 11.3274 [f(x)*x^3+f(x)*x^2-x^2-f(x)+1 ogf] A000931 14.3195 [(x-1)*(x+1)/(x^3+x^2-1) ogf] A000931 20.4059 [-x^2*(x^2-3)/(-1+x)/(1+x)/(x^3+x^2-1) lgdogf] A000931 8.24926 [{-a(n+3)+a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A000931 9.98595 [-(x^4-3*x^2)/(x^5+x^4-x^3-2*x^2+1) lgdogf] A000932 6.25651 [{(-3-n)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=3} ogf] A000933 10.2719 [-(1-2*x^7+9*x^4+3*x^8+6*x^6-4*x^5+5*x^2)/(-1+x)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(1+x^2) lgdogf] A000933 18.8743 [-x^9+x^4+x^3+x^2+1 ogf_with_Euler_transform] A000933 7.28692 [-x^4*(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A000957 13.8577 [-(-2*x^2+x)/(-x^2+2*x-1) revogf] A000957 3.46443 [{(4*n^2+2*n)*a(n)+(3*n^2-12*n-12)*a(n+1)+(-9*n^2-27*n-18)*a(n+2)+(2*n^2+10*n+12)*a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A000957 35.6934 [-x*(-1+2*x)/(-1+x)^2 revogf] A000957 9.87125 [-f(x)^2*x-2*f(x)^2+2*f(x)*x+f(x)-x ogf] A000958 14.2090 [1/2*((4*x^2+1)^(1/2)*x+(4*x^2+1)^(1/2)-1-x-2*x^2)/x^2 revogf] A000958 7.23025 [-1/2*I*(x-4)/(-1+4*x)^(1/2)/(x+2)/x-1/2*(3*x+4)/(x+2)/x lgdogf] A000958 9.95334 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A000962 7.15195 [-x^2*(-10*x^7+28*x^5+17*x^2-8*x+2*x^8+3*x^6-39*x^4+22*x^3-3)/(1+x)/(2*x^4-7*x^3+6*x^2+x-1)/(x^6-3*x^4+7*x^2-1) lgdogf] A000962 9.33774 [(x+1)*(2*x^4-7*x^3+6*x^2+x-1)/(x^6-3*x^4+7*x^2-1) ogf] A000963 6.01973 [x*(2*x^4-7*x^3+4*x^2-1)/(x^6-3*x^4+7*x^2-1) ogf] A000964 7.48902 [-(1+8*x-12*x^7-16*x^4-12*x^3+3*x^8+2*x^6+24*x^5+10*x^2)/(-1+x)/(x^2-2*x-1)/(x^6-3*x^4+7*x^2-1) lgdogf] A000964 8.77575 [-x^2*(x-1)*(x^2-2*x-1)/(x^6-3*x^4+7*x^2-1) ogf] A000969 11.1374 [-(2*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A000969 15.0304 [-(3+8*x+6*x^4+8*x^3+11*x^2)/(-1+x)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A000969 8.84106 [-(6*x^4+8*x^3+11*x^2+8*x+3)/(2*x^5+x^4+x^3-2*x^2-x-1) lgdogf] A000970 5.56571 [-(3*x^5+2*x^4+4*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A000970 5.94914 [-(7+22*x+12*x^9+44*x^7+72*x^4+52*x^3+22*x^8+57*x^6+72*x^5+40*x^2)/(-1+x)/(3*x^5+2*x^4+4*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A000971 3.87899 [(x^8+3*x^7+3*x^6-4*x^5+10*x^4-4*x^3+3*x^2+3*x+1)/(x^6+x^3+1)/(x-1)^6 ogf] A000972 3.87921 [-(4*x^8+6*x^7+12*x^6+7*x^5+10*x^4+9*x^3+9*x^2+6*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^7 ogf] A000973 13.2594 [-(15+63*x+5*x^3+45*x^2)/(-1+x)/(1+x)/(x^2+6*x+1) lgdogf] A000973 5.24015 [{(2*n^2+23*n+66)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=1,a(1)=15} ogf] A000973 5.69982 [(x+1)*(x^2+6*x+1)/(x-1)^8 ogf] A000973 8.66372 [-(5*x^3+45*x^2+63*x+15)/(x^4+6*x^3-6*x-1) lgdogf] A000975 10.5737 [2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-x ogf] A000975 11.2544 [-(-6*x^2+2*x+2)/(-2*x^3+x^2+2*x-1) lgdogf] A000975 16.0062 [x/(x-1)/(2*x-1)/(x+1) ogf] A000975 19.1836 [-2*(-1-x+3*x^2)/(-1+x)/(-1+2*x)/(1+x) lgdogf] A000975 6.48902 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A000981 5.88386 [(19+8800*x^13+123*x+9600*x^11+70*x^3-18400*x^12-210*x^2)/(-1+x)/(800*x^13-800*x^12+70*x^3-61*x^2-x-9) lgdogf] A000981 7.16840 [-(800*x^13-800*x^12+70*x^3-61*x^2-x-9)/(x-1)^2 ogf] A000982 13.7620 [-(2*x^3+2*x^2+6*x+2)/(x^4-1) lgdogf] A000982 14.4863 [-x*(x^2+1)/(x+1)/(x-1)^3 ogf] A000982 20.8654 [-2*(1+3*x+x^2+x^3)/(-1+x)/(1+x)/(1+x^2) lgdogf] A000982 28.3397 [[-x^3+2*x+2] ogf_with_Euler_transform] A000982 7.43892 [(151*f(x)+527)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-f(x)+x) ogf] A000984 18.6603 [-4*f(x)^2*x+f(x)^2-1 ogf] A000984 29.9898 [2/(-4*x+1) lgdogf] A000984 34.4327 [(-2*x+(4*x^2+1)^(1/2))*x revogf] A000984 75.1260 [-2/(-1+4*x) lgdogf] A000984 8.07417 [{(-n-2)*a(n+2)+(6+4*n)*a(n+1),a(0)=1,a(1)=2} ogf] A000985 11.9520 [-(x^3-2*x^2+2)/(-2*x^2+4*x-2) lgdegf] A000985 22.7341 [-2-x^3+2*x^2+(2-4*x+2*x^2)*f(x) lgdegf] A000985 3.18720 [{(-2*n-10)*a(n+5)+(18+4*n)*a(n+4)+(-2*n-6)*a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=3/2,a(3)=11/6,a(4)=7/3} egf] A000986 12.2518 [-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=5/2 lgdegf] A000986 13.1369 [-(-x^3+2*x)/(-2*x^2+4*x-2) lgdegf] A000990 23.3352 [-(-1-x)/(-x+1) ogf_with_Euler_transform] A000991 20.0533 [-(x^2+x+1)/(x-1) ogf_with_Euler_transform] A000993 4.27404 [-(500*x^7+1700*x^6+5*x^5-723*x^4-59*x^3+68*x^2+4*x-1)/(x-1)/(5*x-1)/(2*x+1)/(2*x-1)/(5*x+1)/(10*x-1)/(x+1) ogf] A001002 12.9219 [-1+f(x)-f(x)^2*x-f(x)^3*x^2 ogf] A001002 15.8902 [-x*(x^2+x-1) revogf] A001002 3.41726 [{(-27*n^2-108*n-105)*a(n+1)+(-22*n^2-121*n-165)*a(n+2)+(5*n^2+35*n+60)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A001002 47.9152 [-x*(-1+x+x^2) revogf] A001003 11.204 [-2*f(x)^2*x+f(x)*x+f(x)-1 ogf] A001003 13.2311 [-1/2*(-1+x+(1-6*x+x^2)^(1/2))/(1-6*x+x^2)^(1/2)/x lgdogf] A001003 15.0235 [-(2*x^2-x)/(-x+1) revogf] A001003 38.1366 [x*(-1+2*x)/(-1+x) revogf] A001005 15.1237 [-1+f(x)-f(x)^2*x^2-f(x)^3*x^3 ogf] A001005 20.2795 [-x/(-x^3-x^2-1) revogf] A001005 67.8112 [x/(1+x^2+x^3) revogf] A001006 12.1636 [f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A001006 17.9413 [-x/(-x^2-x-1) revogf] A001006 4.78435 [{(-3*n-6)*a(n+1)+(-2*n-7)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A001006 64.0044 [x/(1+x+x^2) revogf] A001014 5.75782 [-x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A001014 9.07528 [-2*(32+473*x+88*x^4+718*x^3+x^5+1208*x^2)/(-1+x)/(1+x)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A001015 4.89060 [x*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A001015 6.86381 [-2*(64+1611*x+2682*x^4+8422*x^3+x^6+183*x^5+7197*x^2)/(-1+x)/(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1) lgdogf] A001016 4.15397 [-x*(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^9 ogf] A001017 3.43554 [x*(x^8+502*x^7+14608*x^6+88234*x^5+156190*x^4+88234*x^3+14608*x^2+502*x+1)/(x-1)^10 ogf] A001018 19.2513 [{a(n+1)-8*a(n),a(0)=1} ogf] A001018 24.4164 [-8*f(x)*x+f(x)-1 ogf] A001018 35.7525 [8/(-8*x+1) lgdogf] A001018 47.6700 [-1/(8*x-1) ogf] A001018 76.0151 [1/8*ln(8*x+1) revegf] A001018 89.8360 [-8/(-1+8*x) lgdogf] A001019 12.3286 [{a(n+1)-9*a(n),a(0)=1} ogf] A001019 17.4503 [-9*f(x)*x+f(x)-1 ogf] A001019 22.8959 [9/(-9*x+1) lgdogf] A001019 30.5279 [-1/(9*x-1) ogf] A001019 48.3926 [1/9*ln(1+9*x) revegf] A001019 57.1912 [-9/(-1+9*x) lgdogf] A001020 13.1699 [{a(n+1)-11*a(n),a(0)=1} ogf] A001020 16.6192 [-11*f(x)*x+f(x)-1 ogf] A001020 23.2668 [11/(-11*x+1) lgdogf] A001020 31.7275 [-1/(11*x-1) ogf] A001020 45.7348 [1/11*ln(1+11*x) revegf] A001020 52.7709 [-11/(-1+11*x) lgdogf] A001021 10.7435 [{a(n+1)-12*a(n),a(0)=1} ogf] A001021 13.5572 [-12*f(x)*x+f(x)-1 ogf] A001021 18.9801 [12/(-12*x+1) lgdogf] A001021 25.8820 [-1/(12*x-1) ogf] A001021 37.1894 [1/12*ln(1+12*x) revegf] A001021 42.9109 [-12/(-1+12*x) lgdogf] A001022 15.5098 [{a(n+1)-13*a(n),a(0)=1} ogf] A001022 19.5719 [-13*f(x)*x+f(x)-1 ogf] A001022 27.4007 [13/(-13*x+1) lgdogf] A001022 37.3645 [-1/(13*x-1) ogf] A001022 53.9895 [1/13*ln(1+13*x) revegf] A001022 67.4869 [-13/(13*x-1) lgdogf] A001023 15.8545 [{a(n+1)-14*a(n),a(0)=1} ogf] A001023 20.0069 [-14*f(x)*x+f(x)-1 ogf] A001023 28.0096 [14/(-14*x+1) lgdogf] A001023 38.1949 [-1/(14*x-1) ogf] A001023 55.2073 [1/14*ln(1+14*x) revegf] A001023 63.7007 [-14/(-1+14*x) lgdogf] A001024 16.1992 [{a(n+1)-15*a(n),a(0)=1} ogf] A001024 20.4418 [-15*f(x)*x+f(x)-1 ogf] A001024 28.6185 [15/(-15*x+1) lgdogf] A001024 39.0252 [-1/(15*x-1) ogf] A001024 56.4251 [1/15*ln(1+15*x) revegf] A001024 65.1059 [-15/(-1+15*x) lgdogf] A001025 16.6012 [{a(n+1)-16*a(n),a(0)=1} ogf] A001025 20.9492 [-16*f(x)*x+f(x)-1 ogf] A001025 29.3289 [16/(-16*x+1) lgdogf] A001025 39.9939 [-1/(16*x-1) ogf] A001025 57.8459 [1/16*ln(1+16*x) revegf] A001025 66.7452 [-16/(-1+16*x) lgdogf] A001026 16.8310 [{a(n+1)-17*a(n),a(0)=1} ogf] A001026 21.2392 [-17*f(x)*x+f(x)-1 ogf] A001026 29.7348 [17/(-17*x+1) lgdogf] A001026 40.5475 [-1/(17*x-1) ogf] A001026 58.6578 [1/17*ln(1+17*x) revegf] A001026 67.6820 [-17/(-1+17*x) lgdogf] A001027 17.2331 [{a(n+1)-18*a(n),a(0)=1} ogf] A001027 21.7466 [-18*f(x)*x+f(x)-1 ogf] A001027 30.4452 [18/(-18*x+1) lgdogf] A001027 41.5162 [-1/(18*x-1) ogf] A001027 60.0785 [1/18*ln(1+18*x) revegf] A001027 69.3214 [-18/(-1+18*x) lgdogf] A001029 17.4629 [{a(n+1)-19*a(n),a(0)=1} ogf] A001029 22.0365 [-19*f(x)*x+f(x)-1 ogf] A001029 30.8511 [19/(-19*x+1) lgdogf] A001029 42.0697 [-1/(19*x-1) ogf] A001029 60.8904 [1/19*ln(1+19*x) revegf] A001029 70.2582 [-19/(-1+19*x) lgdogf] A001040 6.60056 [{-a(n+1)+(-2-n)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A001044 7.28615 [{(n^2+4*n+4)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A001045 16.2213 [-(-4*x-1)/(-2*x^2-x+1) lgdogf] A001045 21.0438 [-x/(2*x-1)/(x+1) ogf] A001045 23.9986 [1/4/x*(-x-1+(9*x^2+2*x+1)^(1/2)) revogf] A001045 33.3894 [-(1+4*x)/(1+x)/(-1+2*x) lgdogf] A001045 9.61261 [(f(x)+1)*(2*f(x)*x^2+f(x)*x-f(x)+x) ogf] A001045 9.61262 [{-a(n+2)+a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A001047 13.6404 [-6*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A001047 16.4242 [-(12*x-5)/(6*x^2-5*x+1) lgdogf] A001047 22.7052 [-1/12*(-1-5*x+(1+10*x+x^2)^(1/2))/x revogf] A001047 24.3874 [x/(3*x-1)/(2*x-1) ogf] A001047 29.4327 [-(-5+12*x)/(3*x-1)/(-1+2*x) lgdogf] A001047 9.93562 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A001048 15.0044 [-(-x+3)/(-x^2+3*x-2) lgdegf] A001048 16.0047 [-(x-2)/(x-1)^2 egf] A001048 27.7105 [-(-3+x)/(-1+x)/(x-2) lgdegf] A001048 4.28698 [{(-n^2-4*n-4)*a(n+1)+(-2*n^2-13*n-21)*a(n+2)+(2*n+6)*a(n+3),a(0)=2,a(1)=3,a(2)=8} ogf] A001048 8.47309 [(2*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)+x-2) egf] A001053 6.43759 [{-a(n+1)+(-n-2)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A001057 15.8360 [-x/(x-1)/(x+1)^2 ogf] A001057 16.1959 [-(3*x-1)/(x^2-1) lgdogf] A001057 33.8031 [[-1+2*x] ogf_with_Euler_transform] A001057 39.4584 [-(3*x-1)/(-1+x)/(1+x) lgdogf] A001057 6.41998 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=-1} ogf] A001057 9.25479 [-f(x)*x^3-f(x)*x^2+f(x)*x+f(x)-x ogf] A001060 11.4225 [-(3*x^2+4*x+5)/(3*x^3+5*x^2-x-2) lgdogf] A001060 16.2453 [-(3*x+2)/(x^2+x-1) ogf] A001060 19.3704 [1/2/(3+x)*(-2-x+(4+16*x+5*x^2)^(1/2)) revogf] A001060 22.3970 [-(5+4*x+3*x^2)/(3*x+2)/(x^2+x-1) lgdogf] A001060 8.91510 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=5} ogf] A001060 9.54331 [(9*f(x)+7)*(f(x)*x^2+f(x)*x-f(x)+3*x+2) ogf] A001068 11.8036 [-(2+4*x+7*x^4+9*x^3+4*x^6+5*x^5+9*x^2)/(-1+x)/(1+x)/(x^2+1)/(2*x^3+x^2+x+1) lgdogf] A001068 12.3028 [x*(2*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A001069 15.7200 [-x*(x^14+x^2+1)/(x-1) ogf] A001069 16.0959 [(-1-2*x-14*x^13+13*x^14+x^2)/(-1+x)/(1+x^14+x^2) lgdogf] A001075 12.1019 [-(-2*x^2+2*x-2)/(-2*x^3+9*x^2-6*x+1) lgdogf] A001075 17.2116 [-(2*x-1)/(x^2-4*x+1) ogf] A001075 23.0709 [-2*(1-x+x^2)/(-1+2*x)/(x^2-4*x+1) lgdogf] A001075 8.70249 [-(3*f(x)-1)*(f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A001075 9.44539 [{a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A001076 12.7011 [-f(x)*x^2-4*f(x)*x+f(x)-x ogf] A001076 15.6117 [-(-2*x-4)/(-x^2-4*x+1) lgdogf] A001076 20.2531 [-x/(x^2+4*x-1) ogf] A001076 21.1311 [1/2/x*(-1-4*x+(1+8*x+20*x^2)^(1/2)) revogf] A001076 36.9794 [-2*(x+2)/(x^2-1+4*x) lgdogf] A001076 9.25140 [{-a(n+2)+4*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A001077 13.1691 [(2*x-1)/(x^2+4*x-1) ogf] A001077 16.5733 [1/2/(x-2)*(-1-4*x+(20*x^2+1)^(1/2)) revogf] A001077 17.0608 [-2*(-1-x+x^2)/(-1+2*x)/(x^2-1+4*x) lgdogf] A001077 6.65852 [-(5*f(x)-3)*(f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A001077 7.22693 [{-a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A001077 9.25950 [-(2*x^2-2*x-2)/(2*x^3+7*x^2-6*x+1) lgdogf] A001078 10.6348 [-f(x)*x^2+10*f(x)*x-f(x)+2*x ogf] A001078 12.7618 [-(2*x-10)/(x^2-10*x+1) lgdogf] A001078 16.1309 [-(-1-5*x+(1+4*x)^(1/2)*(6*x+1)^(1/2))/x revogf] A001078 16.7918 [2*x/(x^2-10*x+1) ogf] A001078 29.9573 [-2*(x-5)/(x^2+1-10*x) lgdogf] A001078 7.78159 [{a(n+2)-10*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A001079 12.4178 [-(5*x-1)/(x^2-10*x+1) ogf] A001079 15.1201 [-1/2*(-10*x-1+(96*x^2+1)^(1/2))/(x+5) revogf] A001079 15.9841 [-(5-2*x+5*x^2)/(5*x-1)/(x^2+1-10*x) lgdogf] A001079 6.20893 [-(48*f(x)-23)*(f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A001079 6.88218 [{a(n+2)-10*a(n+1)+a(n),a(0)=1,a(1)=5} ogf] A001079 8.65486 [-(-5*x^2+2*x-5)/(-5*x^3+51*x^2-15*x+1) lgdogf] A001080 10.9435 [-f(x)*x^2+16*f(x)*x-f(x)+3*x ogf] A001080 12.2222 [-1/2*(-16*x-3+(14*x+3)^(1/2)*(6*x+1)^(1/2)*3^(1/2))/x revogf] A001080 13.1322 [-(2*x-16)/(x^2-16*x+1) lgdogf] A001080 17.2792 [3*x/(x^2-16*x+1) ogf] A001080 29.4444 [-2*(-8+x)/(x^2+1-16*x) lgdogf] A001080 8.00744 [{a(n+2)-16*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A001081 11.5176 [-(8*x-1)/(x^2-16*x+1) ogf] A001081 14.4022 [-2*(4-x+4*x^2)/(-1+8*x)/(x^2+1-16*x) lgdogf] A001081 5.75881 [-(63*f(x)-31)*(f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A001081 6.38325 [{a(n+2)-16*a(n+1)+a(n),a(0)=1,a(1)=8} ogf] A001081 7.90761 [-(-8*x^2+2*x-8)/(-8*x^3+129*x^2-24*x+1) lgdogf] A001082 10.2440 [-x*(x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A001082 11.2130 [-(-3*x^3-17*x^2-11*x-5)/(-x^4-4*x^3+4*x+1) lgdogf] A001082 18.1757 [-(x+5)*(3*x^2+2*x+1)/(-1+x)/(1+x)/(x^2+4*x+1) lgdogf] A001084 11.6796 [-f(x)*x^2+20*f(x)*x-f(x)+3*x ogf] A001084 13.0555 [-1/2*(-20*x-3+(6*x+1)^(1/2)*(22*x+3)^(1/2)*3^(1/2))/x revogf] A001084 14.0155 [-(2*x-20)/(x^2-20*x+1) lgdogf] A001084 18.4415 [3*x/(x^2-20*x+1) ogf] A001084 31.4520 [-2*(x-10)/(x^2+1-20*x) lgdogf] A001084 8.54606 [{a(n+2)-20*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A001085 13.7754 [-(10*x-1)/(x^2-20*x+1) ogf] A001085 17.6634 [-2*(5-x+5*x^2)/(10*x-1)/(x^2+1-20*x) lgdogf] A001085 6.96176 [-(99*f(x)-49)*(f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A001085 7.70765 [{a(n+2)-20*a(n+1)+a(n),a(0)=1,a(1)=10} ogf] A001085 9.24919 [-(-10*x^2+2*x-10)/(-10*x^3+201*x^2-30*x+1) lgdogf] A001090 12.9671 [-f(x)*x^2+8*f(x)*x-f(x)+x ogf] A001090 13.0026 [-(2*x-8)/(x^2-8*x+1) lgdogf] A001090 13.9771 [-1/2*(-1-8*x+(10*x+1)^(1/2)*(6*x+1)^(1/2))/x revogf] A001090 18.9129 [x/(x^2-8*x+1) ogf] A001090 30.7497 [-2*(x-4)/(x^2+1-8*x) lgdogf] A001090 7.70527 [{a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A001091 13.1812 [-(4*x-1)/(x^2-8*x+1) ogf] A001091 16.6049 [-2*(2-x+2*x^2)/(-1+4*x)/(x^2+1-8*x) lgdogf] A001091 6.59061 [-(15*f(x)-7)*(f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A001091 7.23360 [{a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=4} ogf] A001091 8.98720 [-(-4*x^2+2*x-4)/(-4*x^3+33*x^2-12*x+1) lgdogf] A001093 10.3776 [x*(7*x^2-2*x+1)/(x-1)^4 ogf] A001093 11.6549 [-(-14*x^2-8*x-2)/(-7*x^3+9*x^2-3*x+1) lgdogf] A001093 20.1737 [-2*(1+4*x+7*x^2)/(-1+x)/(7*x^2-2*x+1) lgdogf] A001093 3.86514 [{(n+3)*a(n+4)+(-8-3*n)*a(n+3)+(1+9*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=9} ogf] A001093 5.45013 [-(72*f(x)+61)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A001094 13.4009 [-2*(1-3*x+23*x^3+39*x^2)/(-1+x)/(23*x^3+3*x^2-3*x+1) lgdogf] A001094 3.64698 [{(n^2+5*n+6)*a(n+1)+(-2*n^2-6*n)*a(n+2)+(n^2+n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=28} ogf] A001094 7.69038 [-x*(23*x^3+3*x^2-3*x+1)/(x-1)^5 ogf] A001094 8.42280 [-(46*x^3+78*x^2-6*x+2)/(23*x^4-20*x^3-6*x^2+4*x-1) lgdogf] A001095 10.4489 [-2*(1-4*x+121*x^4+236*x^3+6*x^2)/(-1+x)/(121*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A001095 6.45888 [x*(121*x^4-4*x^3+6*x^2-4*x+1)/(x-1)^6 ogf] A001096 5.51047 [-x*(719*x^5+5*x^4-10*x^3+10*x^2-5*x+1)/(x-1)^7 ogf] A001096 8.34104 [-2*(1-5*x+1805*x^4-10*x^3+719*x^5+10*x^2)/(-1+x)/(719*x^5+5*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A001105 14.1265 [-2*(x+1)*x/(x-1)^3 ogf] A001105 18.3002 [-(2*x+4)/(x^2-1) lgdogf] A001105 37.7903 [-2*(x+2)/(-1+x)/(1+x) lgdogf] A001105 38.1348 [[4-x] ogf_with_Euler_transform] A001105 7.25414 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A001105 7.52533 [(2*f(x)+1)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+2*x) ogf] A001106 12.9459 [-x*(6*x+1)/(x-1)^3 ogf] A001106 15.0595 [-(-12*x-9)/(-6*x^2+5*x+1) lgdogf] A001106 29.0626 [-3*(4*x+3)/(6*x+1)/(-1+x) lgdogf] A001106 6.30698 [-(4361*f(x)-9804)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+x) ogf] A001106 6.64790 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=9} ogf] A001107 14.3199 [-x*(7*x+1)/(x-1)^3 ogf] A001107 16.3246 [-(-14*x-10)/(-7*x^2+6*x+1) lgdogf] A001107 32.1873 [-2*(7*x+5)/(7*x+1)/(-1+x) lgdogf] A001107 6.85909 [-(14528*f(x)-37449)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+x) ogf] A001107 7.28779 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A001108 10.2742 [-(-2*x^3+4*x^2+14*x-8)/(-x^4+6*x^3-6*x+1) lgdogf] A001108 13.1582 [-(x+1)*x/(x-1)/(x^2-6*x+1) ogf] A001108 16.4552 [-2*(4-7*x+x^3-2*x^2)/(-1+x)/(1+x)/(1-6*x+x^2) lgdogf] A001108 6.75694 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A001108 7.00954 [(8*f(x)+1)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)+x) ogf] A001109 12.5506 [-f(x)*x^2+6*f(x)*x-f(x)+x ogf] A001109 15.4268 [-(2*x-6)/(x^2-6*x+1) lgdogf] A001109 16.9989 [-1/2*(-6*x-1+(1+8*x)^(1/2)*(1+4*x)^(1/2))/x revogf] A001109 22.4390 [x/(x^2-6*x+1) ogf] A001109 34.8072 [-2*(-3+x)/(1-6*x+x^2) lgdogf] A001109 9.14180 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A001110 10.4679 [-2*(18-35*x+x^3-16*x^2)/(-1+x)/(1+x)/(x^2-34*x+1) lgdogf] A001110 4.57234 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=36} ogf] A001110 4.73861 [(36*f(x)+1)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)+x) ogf] A001110 6.76944 [-(-2*x^3+32*x^2+70*x-36)/(-x^4+34*x^3-34*x+1) lgdogf] A001110 8.83469 [-(x+1)*x/(x-1)/(x^2-34*x+1) ogf] A001117 11.7420 [-(11*x^2-6*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A001117 12.0178 [-6*x^2*(11*x^2-12*x+3)/(-1+x)/(3*x-1)/(-1+2*x)/(11*x^2-6*x+1) lgdogf] A001117 6.66440 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A001117 7.54845 [-(66*x^4-72*x^3+18*x^2)/(66*x^5-157*x^4+138*x^3-58*x^2+12*x-1) lgdogf] A001117 8.12911 [-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x-11*x^2+f(x)+6*x-1 ogf] A001118 5.48029 [-120*x^4*(-450*x^3+5+274*x^4+255*x^2-60*x)/(-1+x)/(-1+4*x)/(3*x-1)/(-1+2*x)/(5*x-1)/(274*x^4-225*x^3+85*x^2-15*x+1) lgdogf] A001118 5.89003 [-(274*x^4-225*x^3+85*x^2-15*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A001120 3.20046 [{(2*n^2+10*n+12)*a(n+1)+(3*n^2+18*n+28)*a(n+2)+(n^2+6*n+12)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=3,a(2)=8,a(3)=33} ogf] A001147 16.3051 [-2*f(x)^2*x+f(x)^2-1 egf] A001147 26.9616 [1/(-2*x+1) lgdegf] A001147 48.8534 [-1/2*x*(-2+x) revegf] A001147 57.7359 [-1/(-1+2*x) lgdegf] A001147 7.35316 [{(-2*n-3)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A001148 11.8866 [-(7*x^2+2*x+1)/(x^2+1)/(x-1) ogf] A001148 12.6340 [-(3+12*x+7*x^4+4*x^3-6*x^2)/(-1+x)/(x^2+1)/(7*x^2+2*x+1) lgdogf] A001148 6.25073 [-(f(x)-19)*(f(x)*x^3-f(x)*x^2+f(x)*x+7*x^2-f(x)+2*x+1) ogf] A001148 6.47396 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A001169 10.2668 [-(5*x^2-4*x+2)/(-4*x^4+11*x^3-12*x^2+6*x-1) lgdogf] A001169 11.0108 [(x-1)^3/(4*x^3-7*x^2+5*x-1) ogf] A001169 18.6603 [(2-4*x+5*x^2)/(-1+x)/(4*x^3-7*x^2+5*x-1) lgdogf] A001169 5.71235 [{a(n+4)-5*a(n+3)+7*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=19} ogf] A001169 6.38439 [(f(x)-1)*(4*f(x)*x^3-7*f(x)*x^2-x^3+5*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A001181 4.78597 [{(-8*n^2-8*n)*a(n)+(-7*n^2-35*n-40)*a(n+1)+(n^2+9*n+20)*a(n+2),a(0)=0,a(1)=1} ogf] A001189 3.51349 [{(n^2+7*n+12)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(-7-2*n)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=9} ogf] A001193 14.5418 [-(-x+2)/(-2*x^2+3*x-1) lgdegf] A001193 31.1828 [-(x-2)/(-1+2*x)/(-1+x) lgdegf] A001193 34.3011 [(-x+(1+x^2)^(1/2))*x revegf] A001193 6.23219 [{(-2*n^2-9*n-9)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A001193 7.42559 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+x^2-2*x+1 egf] A001194 5.14689 [{(-2*n^2-11*n-12)*a(n+1)+(n+2)*a(n+2),a(0)=3,a(1)=9} ogf] A001194 9.02685 [-(-3*x^2+6*x-6)/(-6*x^3+11*x^2-8*x+2) lgdegf] A001204 7.94100 [(x^10-x^8-x^7+x^6+4*x^5+3*x^4+x^3+x^2+2*x+7)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A001205 18.3531 [-x^2/(2*x-2) lgdegf] A001205 3.86380 [{(-n^2-5*n-6)*a(n+1)+(-2*n-6)*a(n+3)+2*a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A001205 34.1833 [x^2+(-2+2*x)*f(x) lgdegf] A001224 6.92202 [-(2+2*x^9+8*x^7-3*x^4-4*x^3+x^10+4*x^8+6*x^6-2*x^5-2*x^2)/(x^2+x-1)/(x^4+x^2-1)/(x^5+x^4+x^3+2*x^2-x-1) lgdogf] A001224 7.20315 [-(x^5+x^4+x^3+2*x^2-x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A001240 11.5723 [-(11-72*x+108*x^2)/(6*x-1)/(3*x-1)/(-1+2*x) lgdogf] A001240 12.7347 [-1/(6*x-1)/(3*x-1)/(2*x-1) ogf] A001240 4.35374 [{a(n+3)-11*a(n+2)+36*a(n+1)-36*a(n),a(0)=1,a(1)=11,a(2)=85} ogf] A001240 4.85131 [(161*f(x)-86)*(36*f(x)*x^3-36*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A001240 7.17448 [-(108*x^2-72*x+11)/(36*x^3-36*x^2+11*x-1) lgdogf] A001241 4.27529 [(583*f(x)+192)*(13824*f(x)*x^4-5760*f(x)*x^3+840*f(x)*x^2-50*f(x)*x+f(x)-1) ogf] A001241 8.31777 [-2*(48*x-5)*(576*x^2-120*x+5)/(6*x-1)/(-1+8*x)/(-1+12*x)/(-1+24*x) lgdogf] A001241 9.49259 [1/(6*x-1)/(8*x-1)/(12*x-1)/(24*x-1) ogf] A001242 7.32339 [-1/(24*x-1)/(30*x-1)/(40*x-1)/(60*x-1)/(120*x-1) ogf] A001246 6.78081 [{(16*n^2+48*n+36)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=1,a(1)=1} ogf] A001249 10.3510 [-(4*x^3+48*x^2+72*x+16)/(x^4+8*x^3-8*x-1) lgdogf] A001249 16.2226 [-4*(4+18*x+x^3+12*x^2)/(-1+x)/(1+x)/(x^2+8*x+1) lgdogf] A001249 6.31159 [{(n^2+10*n+25)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=16} ogf] A001249 7.39358 [-(x+1)*(x^2+8*x+1)/(x-1)^7 ogf] A001254 15.7056 [-(x^2+7*x-4)/(x+1)/(x^2-3*x+1) ogf] A001254 16.5624 [-(1+14*x+x^4+14*x^3-24*x^2)/(1+x)/(x^2-3*x+1)/(x^2+7*x-4) lgdogf] A001254 8.05078 [-(115*f(x)-187)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)+7*x-4) ogf] A001254 8.55396 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=1,a(2)=9} ogf] A001254 9.48558 [-(x^4+14*x^3-24*x^2+14*x+1)/(x^5+5*x^4-20*x^3-5*x^2+15*x-4) lgdogf] A001260 14.9143 [-(-1-x)/(-x+1) lgdegf] A001260 3.20737 [{(n^2+5*n+6)*a(n+1)+(n^2+2*n-3)*a(n+2)+(1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A001261 15.6774 [-(-1-x)/(-x+1) lgdegf] A001261 3.18324 [{(n^2+5*n+6)*a(n+1)+(n^2+n-6)*a(n+2)+(-n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A001264 6.96071 [-(75*x^6-31*x^5-8*x^4+48*x^3+12*x^2+3*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A001281 10.1148 [-(8*x^3+3*x^2+16*x+1)/(4*x^4+x^3-2*x^2-x-2) lgdogf] A001281 13.4311 [x*(4*x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A001281 17.5396 [-(1+16*x+8*x^3+3*x^2)/(-1+x)/(1+x)/(4*x^2+x+2) lgdogf] A001281 7.58611 [-(1120*f(x)-14347)*(f(x)*x^4-2*f(x)*x^2-4*x^3-x^2+f(x)-2*x) ogf] A001286 12.3298 [-(6+6*x)/(2*x^2-x-1) lgdegf] A001286 25.2198 [-6*(1+x)/(1+2*x)/(-1+x) lgdegf] A001286 4.58785 [(13149*f(x)+26449)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-2*x-1) egf] A001286 5.23745 [{(-n^2-7*n-12)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=6} ogf] A001286 9.70216 [(2*x+1)/(x-1)^4 egf] A001287 26.1541 [11/(-x+1) lgdogf] A001287 53.2045 [-11+(1-x)*f(x) lgdogf] A001287 6.16641 [-1/(x-1)^11 ogf] A001287 7.15536 [{(-n-2)*a(n+2)+(12+n)*a(n+1),a(0)=1,a(1)=11} ogf] A001288 25.8934 [12/(-x+1) lgdogf] A001288 5.60379 [1/(x-1)^12 ogf] A001288 52.6742 [-12+(1-x)*f(x) lgdogf] A001288 7.08404 [{(-n-2)*a(n+2)+(13+n)*a(n+1),a(0)=1,a(1)=12} ogf] A001296 10.7223 [-x*(2*x+1)/(x-1)^5 ogf] A001296 16.7537 [-(8*x+7)/(2*x^2-x-1) lgdogf] A001296 34.4830 [-(7+8*x)/(1+2*x)/(-1+x) lgdogf] A001296 5.39715 [{(n+2)*a(n+3)+(-6+n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=7} ogf] A001297 10.5070 [-(30*x^2+60*x+15)/(6*x^3+2*x^2-7*x-1) lgdogf] A001297 18.2544 [-15*(1+4*x+2*x^2)/(-1+x)/(6*x^2+8*x+1) lgdogf] A001297 3.53753 [{(n+3)*a(n+4)+(-1+7*n)*a(n+3)+(-62-2*n)*a(n+2)+(-30-6*n)*a(n+1),a(0)=0,a(1)=1,a(2)=15,a(3)=90} ogf] A001297 6.96998 [-x*(6*x^2+8*x+1)/(x-1)^7 ogf] A001298 13.1147 [-(31+292*x+144*x^3+478*x^2)/(-1+x)/(24*x^3+58*x^2+22*x+1) lgdogf] A001298 4.11762 [{(-11*n^2-107*n-246)*a(n+1)+(7*n^2-28*n-128)*a(n+2)+(4*n^2+15*n+14)*a(n+3),a(0)=0,a(1)=1,a(2)=31} ogf] A001298 5.73971 [-x*(24*x^3+58*x^2+22*x+1)/(x-1)^9 ogf] A001298 8.32574 [-(144*x^3+478*x^2+292*x+31)/(24*x^4+34*x^3-36*x^2-21*x-1) lgdogf] A001299 23.5591 [x^24+x^9+x^4+1 ogf_with_Euler_transform] A001299 4.90731 [-(x^35+x^30+2*x^25+2*x^20+3*x^15+4*x^10+5*x^5+6)/(x-1)/(7*x^35+x^30-5*x^25-7*x^10-x^5+6) ogf] A001300 4.19335 [(5*x^30+5*x^20-x^15+3*x^10+2*x^5+1)/(x-1)/(2*x^30+2*x^25-5*x^20+5*x^15-x^5-1) ogf] A001301 19.7081 [x^24+x^9+x^4+x+1 ogf_with_Euler_transform] A001303 11.7100 [-(5*x^2+50*x+50)/(x^3+7*x^2-2*x-6) lgdogf] A001303 21.6856 [-5*(10+10*x+x^2)/(-1+x)/(x^2+8*x+6) lgdogf] A001303 3.78853 [{(6*n+24)*a(n+4)+(-44+2*n)*a(n+3)+(-64-7*n)*a(n+2)+(-6-n)*a(n+1),a(0)=6,a(1)=50,a(2)=225,a(3)=735} ogf] A001303 7.96763 [-(x^2+8*x+6)/(x-1)^7 ogf] A001304 11.3125 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A001304 12.6563 [-(2+6*x+11*x^4+6*x^3+9*x^5+6*x^2)/(-1+x)/(1+x)/(x^4+x^3+x^2+x+1) lgdogf] A001304 28.3363 [[x^4+x+2] ogf_with_Euler_transform] A001304 9.27875 [-(9*x^5+11*x^4+6*x^3+6*x^2+6*x+2)/(x^6+x^5-x-1) lgdogf] A001305 19.4670 [x^19+x^9+x^4+x+2 ogf_with_Euler_transform] A001307 19.1811 [x^19+x^9+x^3+x+2 ogf_with_Euler_transform] A001310 5.42772 [(x^8-x^6+x^4-x^2+1)/(2*x^20-1)/(x+1)^2/(x-1)^3 ogf] A001311 7.73508 [-(50*x^6+75*x^5+96*x^4+16*x^3+36*x^2+6*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A001318 11.6259 [-x*(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A001318 13.0791 [-(3*x^3+5*x^2+8*x+2)/(x^4+x^3-x-1) lgdogf] A001318 21.6143 [-(2+8*x+3*x^3+5*x^2)/(-1+x)/(1+x)/(x^2+x+1) lgdogf] A001318 37.5134 [-x^2+2*x+2 ogf_with_Euler_transform] A001333 11.7507 [-(x^2-2*x-1)/(x^3+x^2-3*x+1) lgdogf] A001333 16.7121 [(x-1)/(x^2+2*x-1) ogf] A001333 23.0721 [-(-1-2*x+x^2)/(-1+x)/(x^2+2*x-1) lgdogf] A001333 9.17127 [{-a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A001333 9.34943 [(10*f(x)-9)*(f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A001338 3.71006 [{-a(n)+(2*n+4)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=0,a(2)=1,a(3)=7/6} egf] A001339 14.6791 [-(-3+x)/(-x+1) lgdegf] A001339 38.3453 [-3+x+(1-x)*f(x) lgdegf] A001339 4.34936 [{(-n-2)*a(n+1)+(n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A001340 18.1149 [-(-4+x)/(-x+1) lgdegf] A001340 5.36738 [{(-n-2)*a(n+1)+(n+6)*a(n+2)-a(n+3),a(0)=2,a(1)=8,a(2)=38} ogf] A001340 59.3681 [(x-4)/(-1+x) lgdegf] A001341 17.5999 [-(-5+x)/(-x+1) lgdegf] A001341 5.13866 [{(-n-2)*a(n+1)+(n+7)*a(n+2)-a(n+3),a(0)=6,a(1)=30,a(2)=174} ogf] A001341 53.2318 [(-5+x)/(-1+x) lgdegf] A001342 17.0042 [-(-6+x)/(-x+1) lgdegf] A001342 4.89328 [{(-n-2)*a(n+1)+(n+8)*a(n+2)-a(n+3),a(0)=24,a(1)=144,a(2)=984} ogf] A001342 51.4145 [(-6+x)/(-1+x) lgdegf] A001343 4.56493 [-(x^40-x^30+x^20-x^10+1)/(x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3/(x^4+x^3+x^2+x+1)^3 ogf] A001344 4.22322 [{(-13*n^3-23*n^2)*a(n)+(-19*n^3-97*n^2-154*n-66)*a(n+1)+(19*n^2+53*n+30)*a(n+2),a(0)=2,a(1)=5} ogf] A001350 11.9688 [-(-1-6*x+x^4+4*x^3+2*x^5+4*x^2)/(-1+x)/(1+x)/(x^2+1)/(x^2+x-1) lgdogf] A001350 12.8260 [x*(x^2+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A001350 6.36402 [-(75*f(x)-97)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-x^3-f(x)*x+f(x)-x) ogf] A001350 8.01622 [-(-2*x^5-x^4-4*x^3-4*x^2+6*x+1)/(-x^6-x^5+x^4+x^2+x-1) lgdogf] A001351 7.70150 [x*(x^2+3*x+1)*(x^2-x+1)/(x^3-x^2-1)/(x^3+x-1) ogf] A001352 10.6921 [-f(x)*x^2+4*f(x)*x+x^2-f(x)+2*x+1 ogf] A001352 13.5560 [-(6*x-6)/(x^3-3*x^2-3*x+1) lgdogf] A001352 14.3233 [(x+1)^2/(x^2-4*x+1) ogf] A001352 25.3934 [-6*(-1+x)/(1+x)/(x^2-4*x+1) lgdogf] A001352 7.37026 [{-a(n+3)+4*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=24} ogf] A001353 10.9114 [-f(x)*x^2+4*f(x)*x-f(x)+x ogf] A001353 13.4120 [-(2*x-4)/(x^2-4*x+1) lgdogf] A001353 14.7470 [-1/2*(-1-4*x+(2*x+1)^(1/2)*(6*x+1)^(1/2))/x revogf] A001353 19.5084 [x/(x^2-4*x+1) ogf] A001353 31.7060 [-2*(x-2)/(x^2-4*x+1) lgdogf] A001353 7.94785 [{a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A001354 10.0138 [(x^2+4*x+1)/(x^2-3*x+1) ogf] A001354 13.2826 [-7*(-1+x)*(1+x)/(x^2+4*x+1)/(x^2-3*x+1) lgdogf] A001354 5.15276 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=7,a(2)=21} ogf] A001354 7.47514 [-f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+1 ogf] A001354 7.69180 [-(7*x^2-7)/(x^4+x^3-10*x^2+x+1) lgdogf] A001360 4.78113 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=29} ogf] A001360 8.26445 [(1175*f(x)-1428)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)+4*x+1) ogf] A001360 8.85685 [-(x^2+4*x+1)/(x-1)/(x^2-3*x+1) ogf] A001360 9.42065 [-(8-6*x+x^4+8*x^3-17*x^2)/(-1+x)/(x^2+4*x+1)/(x^2-3*x+1) lgdogf] A001361 3.89461 [-(x^8+232*x^7+7228*x^6+55384*x^5+133510*x^4+107224*x^3+24508*x^2+232*x+1)/(x-1)^9 ogf] A001362 25.3302 [x^9+x^3+x+1 ogf_with_Euler_transform] A001362 5.95277 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^3/(x-1)^4 ogf] A001362 6.33048 [-(1+3*x+17*x^11+20*x^9+10*x^7+2*x^4+10*x^3+x^10+2*x^8+2*x^6+10*x^5+2*x^2)/(-1+x)/(1+x)/(1+x^2)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A001365 14.8699 [x^23+x^11+x^5+x+2 ogf_with_Euler_transform] A001382 2.90601 [-(f(x)-1)^3 ogf] A001386 13.9035 [-4*(x+3)*(3*x+1)/(-1+x)/(1+x)/(x^2+6*x+1) lgdogf] A001386 3.86608 [(260*f(x)+1109)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-8*x^3-4*f(x)*x-14*x^2+f(x)-8*x-1) ogf] A001386 6.78812 [(x^2+6*x+1)*(x+1)^2/(x-1)^4 ogf] A001386 8.71310 [-(12*x^2+40*x+12)/(x^4+6*x^3-6*x-1) lgdogf] A001392 11.4618 [18/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A001392 19.6131 [81+(-9+36*x)*f(x)+(-x+4*x^2)*f(x)^2 lgdogf] A001392 5.59337 [{(-4*n^2-46*n-132)*a(n+1)+(n^2+13*n+22)*a(n+2),a(0)=1,a(1)=9} ogf] A001399 12.0948 [-(6*x^3+7*x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A001399 15.2776 [-1/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A001399 18.9848 [-(1+2*x)*(3*x^2+2*x+1)/(-1+x)/(1+x)/(x^2+x+1) lgdogf] A001399 29.9101 [[x^2+x+1] ogf_with_Euler_transform] A001400 12.6860 [1/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A001400 13.0345 [-(2*x^2+x+1)*(5*x^3+3*x^2+3*x+1)/(-1+x)/(1+x)/(1+x^2)/(x^2+x+1) lgdogf] A001400 25.2583 [x^3+x^2+x+1 ogf_with_Euler_transform] A001401 20.4308 [x^4+x^3+x^2+x+1 ogf_with_Euler_transform] A001401 7.86496 [-(3*x^4+2*x^3+3*x^2+x+1)*(5*x^5+7*x^4+7*x^3+6*x^2+4*x+1)/(-1+x)/(1+x)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A001401 8.01620 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A001402 15.3528 [[x^5+x^4+x^3+x^2+x+1] ogf_with_Euler_transform] A001402 6.33970 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A001405 11.0828 [-1/2*(8*x^2+2*x-1+(-(-1+2*x)*(1+2*x))^(1/2))/x/(1+2*x)/(-1+2*x) lgdogf] A001405 13.6986 [-(x^2+x)/(-2*x^2-2*x-1) revogf] A001405 33.2485 [x*(x+1)/(1+2*x+2*x^2) revogf] A001405 5.31586 [{(-4*n-8)*a(n+1)-2*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A001405 9.25097 [-2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A001421 2.79229 [{(1728*n^3+7776*n^2+11472*n+5544)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=120} ogf] A001444 10.1248 [-(2+27*x^4+18*x^3-21*x^2)/(3*x-1)/(3*x^2-1)/(3*x^2+x-1) lgdogf] A001444 4.95427 [-(f(x)+3)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+3*x^2+f(x)+x-1) ogf] A001444 5.08698 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A001444 9.34003 [-(3*x^2+x-1)/(3*x-1)/(3*x^2-1) ogf] A001445 4.85468 [-(3*f(x)+41)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+6*x^2+f(x)+x-3) ogf] A001445 4.98356 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=3,a(1)=5,a(2)=10} ogf] A001445 9.23184 [-(6*x^2+x-3)/(2*x-1)/(2*x^2-1) ogf] A001445 9.99660 [-(5+24*x^4+8*x^3-26*x^2)/(-1+2*x)/(2*x^2-1)/(6*x^2+x-3) lgdogf] A001446 4.52904 [-(45*f(x)+706)*(16*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+40*x^2+f(x)+6*x-10) ogf] A001446 4.68388 [{a(n+3)-4*a(n+2)-4*a(n+1)+16*a(n),a(0)=10,a(1)=34,a(2)=136} ogf] A001446 7.76573 [-(17+320*x^4+96*x^3-172*x^2)/(-1+4*x)/(1+2*x)/(-1+2*x)/(20*x^2+3*x-5) lgdogf] A001446 8.56272 [-2*(20*x^2+3*x-5)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A001447 4.59303 [-(4*f(x)+5)*(25*f(x)*x^3-5*f(x)*x^2-5*f(x)*x+5*x^2+f(x)+2*x-1) ogf] A001447 4.67361 [{a(n+3)-5*a(n+2)-5*a(n+1)+25*a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A001447 8.26370 [-(5*x+1)*(25*x^3+15*x^2-15*x+3)/(5*x-1)/(5*x^2-1)/(5*x^2+2*x-1) lgdogf] A001447 8.59340 [-(5*x^2+2*x-1)/(5*x-1)/(5*x^2-1) ogf] A001448 4.12313 [{(32*n^2+96*n+70)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=6} ogf] A001448 5.96641 [(-1/4*(16*x+1)/(-1+16*x)^(1/2)-1/4*I)/(-1+16*x)^(1/2)/x lgdogf] A001448 9.53484 [6+32*x+(-1+256*x^2)*f(x)+(512*x^3+2*x-64*x^2)*f(x)^2 lgdogf] A001450 3.77005 [{(3125*n^4+18750*n^3+41875*n^2+41250*n+15120)*a(n+1)+(-108*n^4-702*n^3-1698*n^2-1812*n-720)*a(n+2),a(0)=1,a(1)=10} ogf] A001451 3.29155 [{(-3125*n^4-18750*n^3-41875*n^2-41250*n-15120)*a(n+1)+(27*n^4+189*n^3+492*n^2+564*n+240)*a(n+2),a(0)=1,a(1)=20} ogf] A001452 14.2939 [-(-x^4-x^3-x^2-x-1)/(-x+1) ogf_with_Euler_transform] A001453 10.5742 [12-34*x+25*x^2+(-3+20*x+20*x^3-37*x^2)*f(x)+(6*x^2+4*x^4-9*x^3-x)*f(x)^2 lgdogf] A001453 4.30290 [{(-4*n^2-30*n-56)*a(n+1)+(5*n^2+39*n+74)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=1,a(1)=4,a(2)=13} ogf] A001453 9.44539 [3/2*I/x/(4*x-1)^(1/2)-1/2*(5*x-3)/(x-1)/x lgdogf] A001459 2.59329 [{(3125*n^4+18750*n^3+41875*n^2+41250*n+15120)*a(n+1)+(-16*n^4-112*n^3-292*n^2-336*n-144)*a(n+2),a(0)=1,a(1)=30} ogf] A001460 2.65338 [{(-3125*n^4-18750*n^3-41875*n^2-41250*n-15120)*a(n+1)+(4*n^4+30*n^3+84*n^2+104*n+48)*a(n+2),a(0)=1,a(1)=60} ogf] A001464 150.182 [-1-x lgdegf] A001464 6.07265 [{(n+2)*a(n+1)+a(n+3)+a(n+2),a(0)=1,a(1)=-1,a(2)=0} ogf] A001470 4.35254 [{(-n^2-5*n-6)*a(n+1)-a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A001470 58.7939 [1+x^2-f(x) lgdegf] A001471 14.4175 [1/36*x^5+1/2*x^2+1 lgdegf] A001471 32.6633 [1+1/2*x^2+1/36*x^5 lgdegf] A001472 4.04823 [{(-n-5)*a(n+5)+a(n+4)+a(n+3)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=2/3,a(4)=2/3} egf] A001472 51.3377 [-1-x-x^3+f(x) lgdegf] A001475 11.2506 [-(-x^3-3*x^2-6*x-4)/(x^2+2*x+2) lgdegf] A001475 21.4245 [4+6*x+x^3+3*x^2+(-x^2-2-2*x)*f(x) lgdegf] A001475 3.61829 [{(n^2+6*n+8)*a(n+1)+(n^2+10*n+22)*a(n+2)+2*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=13} ogf] A001477 107.950 [-2/(-1+x) lgdogf] A001477 12.1558 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A001477 16.6884 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A001477 29.8368 [x/(x-1)^2 ogf] A001477 35.1649 [2/(-x+1) lgdogf] A001477 42.2411 [4*x/(1+(1+4*x)^(1/2))^2 revogf] A001478 115.955 [-2/(-1+x) lgdogf] A001478 27.2055 [-1/(x-1)^2 ogf] A001478 28.1771 [2/(-x+1) lgdogf] A001478 43.4832 [-4*x/(1+(1-4*x)^(1/2))^2 revogf] A001478 9.28187 [-(f(x)-1)*(f(x)*x^2-2*f(x)*x+f(x)+1) ogf] A001478 9.62146 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=-2} ogf] A001489 117.310 [-2/(-1+x) lgdogf] A001489 13.4921 [-f(x)*x^2+2*f(x)*x-f(x)-x ogf] A001489 21.5144 [-x/(x-1)^2 ogf] A001489 28.4298 [2/(-x+1) lgdogf] A001489 43.9913 [-4*x/(1+(1-4*x)^(1/2))^2 revogf] A001489 9.82758 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=-1} ogf] A001496 3.66411 [(x^4+12*x^3+62*x^2+12*x+1)*(x+1)^2/(x-1)^10 ogf] A001496 7.82289 [-4*(6+69*x+18*x^4+130*x^3+x^5+216*x^2)/(-1+x)/(1+x)/(x^4+12*x^3+62*x^2+12*x+1) lgdogf] A001499 4.05729 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-2*n^2-10*n-12)*a(n+2)+2*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A001504 12.5566 [-(x^2+16*x+10)/(x^3+6*x^2-6*x-1) lgdogf] A001504 13.3667 [-2*(x^2+7*x+1)/(x-1)^3 ogf] A001504 24.6546 [-(10+16*x+x^2)/(-1+x)/(x^2+7*x+1) lgdogf] A001504 7.20641 [(11*f(x)-100)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+14*x+2) ogf] A001504 7.26963 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=20,a(2)=56} ogf] A001505 10.3078 [-(x^3+65*x^2+155*x+35)/(x^4+30*x^3-30*x-1) lgdogf] A001505 16.4563 [-(35+155*x+x^3+65*x^2)/(-1+x)/(1+x)/(x^2+30*x+1) lgdogf] A001505 4.25402 [{(-14*n^2-67*n-78)*a(n+1)+(28*n^2+140*n+273)*a(n+2)+(-14*n^2-73*n-93)*a(n+3),a(0)=6,a(1)=210,a(2)=990} ogf] A001505 5.39604 [(3392*f(x)+512523)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-186*x^2+f(x)-186*x-6) ogf] A001505 9.92605 [6*(x+1)*(x^2+30*x+1)/(x-1)^4 ogf] A001509 15.1964 [-4*(14+73*x+x^3+37*x^2)/(-1+x)/(4*x^3+68*x^2+52*x+1) lgdogf] A001509 3.96156 [{(-335*n^2-1561*n-1782)*a(n+1)+(570*n^2+2472*n+4680)*a(n+2)+(-235*n^2-1211*n-1518)*a(n+3),a(0)=6,a(1)=336,a(2)=1716} ogf] A001509 5.29077 [-(290*f(x)+79791)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-24*x^3-4*f(x)*x-408*x^2+f(x)-312*x-6) ogf] A001509 9.13860 [-(4*x^3+148*x^2+292*x+56)/(4*x^4+64*x^3-16*x^2-51*x-1) lgdogf] A001509 9.80728 [6*(4*x^3+68*x^2+52*x+1)/(x-1)^4 ogf] A001512 10.3981 [-(126+1246*x+x^4+246*x^3+1506*x^2)/(-1+x)/(x^4+121*x^3+381*x^2+121*x+1) lgdogf] A001512 7.08917 [-24*(x^4+121*x^3+381*x^2+121*x+1)/(x-1)^5 ogf] A001513 11.6547 [-(5*x^2+134*x+77)/(5*x^3+57*x^2-57*x-5) lgdogf] A001513 12.9706 [-(5*x^2+62*x+5)/(x-1)^3 ogf] A001513 20.2415 [-(77+134*x+5*x^2)/(-1+x)/(5*x^2+62*x+5) lgdogf] A001513 6.99283 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=77,a(2)=221} ogf] A001513 7.04949 [(355*f(x)-13802)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+62*x+5) ogf] A001515 13.0827 [2*x+(-2+4*x)*f(x)+(1-4*x+4*x^2)*f(x)^2 lgdegf] A001515 20.7143 [-1/2*ln(1+x)*(ln(1+x)-2) revegf] A001515 9.78279 [(-1-(-2*x+1)^(1/2))/(2*x-1) lgdegf] A001516 3.15741 [{(n^2+7*n+12)*a(n+1)+(2*n^3+15*n^2+41*n+40)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A001517 10.6245 [(-2-(-4*x+1)^(1/2))/(4*x-1) lgdegf] A001517 12.8844 [3+4*x+(-4+16*x)*f(x)+(16*x^2+1-8*x)*f(x)^2 lgdegf] A001517 27.0572 [-ln(1+x)*(ln(1+x)-1) revegf] A001518 11.8777 [(-3-(-6*x+1)^(1/2))/(6*x-1) lgdegf] A001518 14.1002 [8+6*x+(-6+36*x)*f(x)+(1-12*x+36*x^2)*f(x)^2 lgdegf] A001518 23.3195 [-1/2*ln(1+x)*(3*ln(1+x)-2) revegf] A001519 12.2336 [-(-2*x^2+2*x-1)/(-2*x^3+7*x^2-5*x+1) lgdogf] A001519 17.3989 [-(2*x-1)/(x^2-3*x+1) ogf] A001519 19.7234 [-1/2*(-1-3*x+(1-2*x+5*x^2)^(1/2))/(2+x) revogf] A001519 21.9775 [-(1-2*x+2*x^2)/(-1+2*x)/(x^2-3*x+1) lgdogf] A001519 8.79718 [-(3*f(x)-2)*(f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A001519 9.54817 [{a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A001520 13.8011 [-(231+1055*x+5*x^3+437*x^2)/(-1+x)/(1+x)/(5*x^2+206*x+5) lgdogf] A001520 3.99352 [{(98*n^2+475*n+558)*a(n+1)+(-196*n^2-980*n-1869)*a(n+2)+(98*n^2+505*n+633)*a(n+3),a(0)=15,a(1)=693,a(2)=3315} ogf] A001520 5.04309 [(516672*f(x)+267698387)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-15*x^3-4*f(x)*x-633*x^2+f(x)-633*x-15) ogf] A001520 9.47859 [-(5*x^3+437*x^2+1055*x+231)/(5*x^4+206*x^3-206*x-5) lgdogf] A001520 9.47859 [3*(x+1)*(5*x^2+206*x+5)/(x-1)^4 ogf] A001525 5.90944 [{(27*n^2+135*n+168)*a(n+1)-a(n+2),a(0)=1,a(1)=60} ogf] A001526 12.0431 [-(3*x^2+92*x+52)/(3*x^3+40*x^2-40*x-3) lgdogf] A001526 13.2086 [-2*(3*x^2+43*x+3)/(x-1)^3 ogf] A001526 21.1625 [-(52+92*x+3*x^2)/(-1+x)/(3*x^2+43*x+3) lgdogf] A001526 6.99941 [(121*f(x)-6486)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+86*x+6) ogf] A001526 7.05975 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=104,a(2)=300} ogf] A001533 11.0924 [-(7*x^2+242*x+135)/(7*x^3+107*x^2-107*x-7) lgdogf] A001533 12.6771 [-(7*x^2+114*x+7)/(x-1)^3 ogf] A001533 19.1220 [-(135+242*x+7*x^2)/(-1+x)/(7*x^2+114*x+7) lgdogf] A001533 6.7114 [(633*f(x)-44770)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+114*x+7) ogf] A001533 6.88497 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=135,a(2)=391} ogf] A001534 11.8933 [-(4*x^2+154*x+85)/(4*x^3+69*x^2-69*x-4) lgdogf] A001534 13.0260 [-2*(4*x^2+73*x+4)/(x-1)^3 ogf] A001534 20.6662 [-(85+154*x+4*x^2)/(-1+x)/(4*x^2+73*x+4) lgdogf] A001534 6.89612 [(401*f(x)-36190)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+146*x+8) ogf] A001534 7.07446 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=170,a(2)=494} ogf] A001535 11.2159 [-(9*x^2+382*x+209)/(9*x^3+173*x^2-173*x-9) lgdogf] A001535 12.8182 [-(9*x^2+182*x+9)/(x-1)^3 ogf] A001535 19.3413 [-(209+382*x+9*x^2)/(-1+x)/(9*x^2+182*x+9) lgdogf] A001535 6.72953 [(991*f(x)-111162)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+182*x+9) ogf] A001535 6.96159 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=209,a(2)=609} ogf] A001536 11.0334 [-(5*x^2+232*x+126)/(5*x^3+106*x^2-106*x-5) lgdogf] A001536 12.2216 [-2*(5*x^2+111*x+5)/(x-1)^3 ogf] A001536 19.0234 [-(126+232*x+5*x^2)/(-1+x)/(5*x^2+111*x+5) lgdogf] A001536 6.62002 [(75*f(x)-10237)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+222*x+10) ogf] A001536 6.78976 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=252,a(2)=736} ogf] A001538 10.7846 [-(11*x^2+554*x+299)/(11*x^3+255*x^2-255*x-11) lgdogf] A001538 12.4438 [-(11*x^2+266*x+11)/(x-1)^3 ogf] A001538 18.0546 [-(299+554*x+11*x^2)/(-1+x)/(11*x^2+266*x+11) lgdogf] A001538 6.57598 [(1429*f(x)-233234)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+266*x+11) ogf] A001538 6.91321 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=299,a(2)=875} ogf] A001539 11.9825 [-(3*x^2+58*x+35)/(3*x^3+23*x^2-23*x-3) lgdogf] A001539 13.1421 [-(3*x^2+26*x+3)/(x-1)^3 ogf] A001539 21.0490 [-(35+58*x+3*x^2)/(-1+x)/(3*x^2+26*x+3) lgdogf] A001539 6.9642 [(157*f(x)-2610)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+26*x+3) ogf] A001539 7.14747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=35,a(2)=99} ogf] A001540 3.16216 [{(-n^2-7*n-12)*a(n+1)+(n^2+8*n+16)*a(n+3)+(-3-n)*a(n+4),a(0)=0,a(1)=2,a(2)=8,a(3)=36} ogf] A001541 10.8536 [-(-3*x^2+2*x-3)/(-3*x^3+19*x^2-9*x+1) lgdogf] A001541 15.6774 [-(3*x-1)/(x^2-6*x+1) ogf] A001541 20.3807 [-(3-2*x+3*x^2)/(3*x-1)/(1-6*x+x^2) lgdogf] A001541 7.83874 [-(16*f(x)-7)*(f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A001541 8.60348 [{a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A001542 11.7975 [-(2*x-6)/(x^2-6*x+1) lgdogf] A001542 14.2858 [-(-1-3*x+(2*x+1)^(1/2)*(1+4*x)^(1/2))/x revogf] A001542 15.3049 [2*x/(x^2-6*x+1) ogf] A001542 26.5308 [-2*(-3+x)/(1-6*x+x^2) lgdogf] A001542 6.99112 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A001542 9.59799 [-f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A001545 12.0145 [-(2*x^2+46*x+27)/(2*x^3+19*x^2-19*x-2) lgdogf] A001545 13.1772 [-2*(2*x^2+21*x+2)/(x-1)^3 ogf] A001545 21.1087 [-(27+46*x+2*x^2)/(-1+x)/(2*x^2+21*x+2) lgdogf] A001545 6.98279 [(123*f(x)-3266)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+42*x+4) ogf] A001545 7.10422 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=54,a(2)=154} ogf] A001546 5.88816 [-(6435+65396*x+35*x^4+12660*x^3+79314*x^2)/(-1+x)/(35*x^4+6260*x^3+20178*x^2+6260*x+35) lgdogf] A001546 6.61176 [-3*(35*x^4+6260*x^3+20178*x^2+6260*x+35)/(x-1)^5 ogf] A001547 12.3286 [-3*(132+780*x+15*x^3+445*x^2)/(-1+x)/(45*x^3+600*x^2+380*x+4) lgdogf] A001547 3.82890 [{(-201*n^2-927*n-1050)*a(n+1)+(304*n^2+1158*n+2090)*a(n+2)+(-103*n^2-525*n-648)*a(n+3),a(0)=8,a(1)=792,a(2)=4320} ogf] A001547 5.00509 [(13014*f(x)+9443083)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-90*x^3-4*f(x)*x-1200*x^2+f(x)-760*x-8) ogf] A001547 7.97688 [-(45*x^3+1335*x^2+2340*x+396)/(45*x^4+555*x^3-220*x^2-376*x-4) lgdogf] A001547 9.22626 [2*(45*x^3+600*x^2+380*x+4)/(x-1)^4 ogf] A001550 10.0798 [-(11*x^2-12*x+3)/(x-1)/(3*x-1)/(2*x-1) ogf] A001550 5.42103 [-(2*f(x)-11)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+11*x^2-f(x)-12*x+3) ogf] A001550 5.65881 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=3,a(1)=6,a(2)=14} ogf] A001550 8.77877 [-2*(3-22*x+33*x^4-72*x^3+60*x^2)/(-1+x)/(3*x-1)/(-1+2*x)/(11*x^2-12*x+3) lgdogf] A001551 4.79634 [-(27*f(x)+317)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+50*x^3-10*f(x)*x-70*x^2+f(x)+30*x-4) ogf] A001551 6.64834 [-(5-70*x+1955*x^4-1192*x^3+600*x^6-1680*x^5+400*x^2)/(-1+x)/(-1+4*x)/(3*x-1)/(-1+2*x)/(5*x-2)/(5*x^2-5*x+1) lgdogf] A001551 8.62200 [-2*(5*x-2)*(5*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A001552 6.88578 [-(274*x^4-450*x^3+255*x^2-60*x+5)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A001553 5.52776 [-(7*x-2)*(252*x^4-392*x^3+203*x^2-42*x+3)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A001554 4.40239 [-(13068*x^6-26264*x^5+20307*x^4-7840*x^3+1610*x^2-168*x+7)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A001555 3.53906 [-4*(9*x-2)*(3044*x^6-5886*x^5+4299*x^4-1539*x^3+288*x^2-27*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A001558 11.8221 [-24-25*x+(8-27*x-20*x^2)*f(x)+(-7*x^2-4*x^3+2*x)*f(x)^2 lgdogf] A001559 12.9742 [-40-36*x+(10-34*x-24*x^2)*f(x)+(-7*x^2-4*x^3+2*x)*f(x)^2 lgdogf] A001559 7.54683 [I*(x+5)/x/(x+2)/(-1+4*x)^(1/2)-(3*x+5)/(x+2)/x lgdogf] A001561 13.1439 [-4*(195+640*x+x^3+193*x^2)/(-1+x)/(4*x^3+380*x^2+600*x+45) lgdogf] A001561 3.82306 [{(-103*n^2-505*n-598)*a(n+1)+(304*n^2+1882*n+3900)*a(n+2)+(-201*n^2-1083*n-1440)*a(n+3),a(0)=90,a(1)=1560,a(2)=6460} ogf] A001561 4.91191 [(1227501*f(x)+1091173322)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-760*x^2+f(x)-1200*x-90) ogf] A001561 8.25619 [-(4*x^3+772*x^2+2560*x+780)/(4*x^4+376*x^3+220*x^2-555*x-45) lgdogf] A001561 9.35039 [2*(4*x^3+380*x^2+600*x+45)/(x-1)^4 ogf] A001563 12.1022 [-f(x)*x^2+2*f(x)*x-f(x)+x egf] A001563 21.6373 [x/(x-1)^2 egf] A001563 25.5011 [2/(-x+1) lgdegf] A001563 30.6416 [4*x/(1+(1+4*x)^(1/2))^2 revegf] A001563 6.43270 [{(-n^2-4*n-4)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=1} ogf] A001563 78.3063 [-2/(-1+x) lgdegf] A001564 10.9412 [-(-x^2-2*x-3)/(-x^3+x^2-x+1) lgdegf] A001564 12.2849 [-(x^2+1)/(x-1)^3 egf] A001564 25.4838 [-(3+2*x+x^2)/(-1+x)/(1+x^2) lgdegf] A001564 3.09841 [{(n^2+4*n+4)*a(n+1)+(-2*n^2-15*n-24)*a(n+2)+(n^2+12*n+30)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=3,a(2)=14,a(3)=78} ogf] A001564 6.5443 [(9*f(x)-4)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1) egf] A001565 17.5802 [-(11+9*x+x^3+3*x^2)/(-1+x)/(2+3*x+x^3) lgdegf] A001565 5.11302 [(584*f(x)+569)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)-3*x-2) egf] A001565 8.39544 [-(x^3+3*x^2+9*x+11)/(x^4-x^3+3*x^2-x-2) lgdegf] A001565 9.85552 [(x^3+3*x+2)/(x-1)^4 egf] A001570 14.5302 [-(x-1)/(x^2-14*x+1) ogf] A001570 15.2700 [-1/2*(-1-14*x+(1+24*x+192*x^2)^(1/2))/(x+1) revogf] A001570 19.8973 [-(13-2*x+x^2)/(-1+x)/(x^2-14*x+1) lgdogf] A001570 7.18696 [-(180*f(x)-11)*(f(x)*x^2-14*f(x)*x+f(x)+x-1) ogf] A001570 7.95700 [{a(n+2)-14*a(n+1)+a(n),a(0)=1,a(1)=13} ogf] A001570 9.97594 [-(-x^2+2*x-13)/(-x^3+15*x^2-15*x+1) lgdogf] A001571 12.6894 [x*(x-2)/(x-1)/(x^2-4*x+1) ogf] A001571 14.8651 [-(-9+20*x+2*x^3-11*x^2)/(-1+x)/(x-2)/(x^2-4*x+1) lgdogf] A001571 6.51620 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=9} ogf] A001571 6.63576 [(45*f(x)-11)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-x^2-f(x)+2*x) ogf] A001571 8.61069 [-(2*x^3-11*x^2+20*x-9)/(x^4-7*x^3+15*x^2-11*x+2) lgdogf] A001576 5.28082 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=3,a(1)=7,a(2)=21} ogf] A001576 6.74089 [(9*f(x)+463)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+14*x^2-f(x)-14*x+3) ogf] A001576 7.96584 [-(7-56*x+112*x^4-224*x^3+170*x^2)/(-1+x)/(-1+2*x)/(-1+4*x)/(14*x^2-14*x+3) lgdogf] A001576 9.40647 [-(14*x^2-14*x+3)/(x-1)/(2*x-1)/(4*x-1) ogf] A001579 4.71123 [{-a(n+3)+14*a(n+2)-63*a(n+1)+90*a(n),a(0)=3,a(1)=14,a(2)=70} ogf] A001579 4.71124 [(2*f(x)+43)*(90*f(x)*x^3-63*f(x)*x^2+14*f(x)*x+63*x^2-f(x)-28*x+3) ogf] A001579 6.91322 [-2*(7-126*x+2835*x^4-2520*x^3+846*x^2)/(6*x-1)/(3*x-1)/(5*x-1)/(63*x^2-28*x+3) lgdogf] A001579 8.35173 [-(63*x^2-28*x+3)/(6*x-1)/(3*x-1)/(5*x-1) ogf] A001580 4.13696 [(28*f(x)+751)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+3*x^3-5*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A001580 7.52177 [-(3*x^3-2*x^2+2*x-1)/(2*x-1)/(x-1)^3 ogf] A001580 9.42844 [-(3-8*x+6*x^4+4*x^3+x^2)/(-1+x)/(-1+2*x)/(3*x^3-2*x^2+2*x-1) lgdogf] A001582 4.90258 [-(9*f(x)-1)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A001582 9.24955 [-2*(1+6*x-x^4-2*x^3+x^5+4*x^2)/(-1+x)/(1+x)/(x^4-2*x^3-7*x^2-2*x+1) lgdogf] A001582 9.72972 [-(x-1)*(x+1)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A001584 10.3969 [(x-1)*(x^2+x+1)^2/(x^4-x^3+1)/(x^4+x^3-1) ogf] A001584 9.98839 [-(-1-x+x^9-9*x^7+2*x^4+2*x^3+3*x^10-x^6+2*x^5-x^2)/(-1+x)/(x^2+x+1)/(x^4+x^3-1)/(x^4-x^3+1) lgdogf] A001585 6.68414 [(2*x^4+15*x^3-7*x^2+3*x-1)/(3*x-1)/(x-1)^4 ogf] A001585 8.25103 [-2*(2-5*x+54*x^4+2*x^3+3*x^5-8*x^2)/(-1+x)/(3*x-1)/(2*x^4+15*x^3-7*x^2+3*x-1) lgdogf] A001588 13.4260 [-(3-6*x+3*x^4-2*x^3+3*x^2)/(-1+x)/(3*x^2-x-1)/(x^2+x-1) lgdogf] A001588 14.2072 [-(3*x^2-x-1)/(x-1)/(x^2+x-1) ogf] A001588 7.76268 [-(f(x)+8)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)-x-1) ogf] A001588 7.84355 [-(-3*x^4+2*x^3-3*x^2+6*x-3)/(-3*x^5+x^4+7*x^3-5*x^2-x+1) lgdogf] A001588 8.01044 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A001589 5.21681 [-(5*x^5+38*x^4+43*x^3-17*x^2+4*x-1)/(4*x-1)/(x-1)^5 ogf] A001589 6.10936 [-(5-6*x+909*x^4-166*x^3+20*x^6+384*x^5-66*x^2)/(-1+x)/(-1+4*x)/(5*x^5+38*x^4+43*x^3-17*x^2+4*x-1) lgdogf] A001590 13.1560 [-(2*x^3-2*x^2-2*x)/(x^4-2*x+1) lgdogf] A001590 13.8484 [x*(x-1)/(x^3+x^2+x-1) ogf] A001590 21.7245 [-2*x*(-1+x^2-x)/(-1+x)/(x^3+x^2+x-1) lgdogf] A001590 7.17597 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A001590 9.28654 [-f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-x ogf] A001591 12.8210 [-x^4/(x^5+x^4+x^3+x^2+x-1) ogf] A001591 16.2934 [-(1+2*x+5*x^4+4*x^3+3*x^2)/(x^2-1+x+x^4+x^3+x^5) lgdogf] A001591 6.68445 [-f(x)*x^5-f(x)*x^4-f(x)*x^3-x^4-f(x)*x^2-f(x)*x+f(x) ogf] A001591 8.14669 [-(-5*x^4-4*x^3-3*x^2-2*x-1)/(-x^5-x^4-x^3-x^2-x+1) lgdogf] A001592 11.5216 [-x^5/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A001592 13.7699 [-(1+2*x+5*x^4+4*x^3+6*x^5+3*x^2)/(x^2-1+x+x^4+x^3+x^6+x^5) lgdogf] A001593 5.36584 [(4*x^6+135*x^5+289*x^4+84*x^3-36*x^2+5*x-1)/(5*x-1)/(x-1)^6 ogf] A001593 6.22029 [-2*(3+6*x+10*x^7+2381*x^4-734*x^3+725*x^6+3438*x^5-69*x^2)/(-1+x)/(5*x-1)/(4*x^6+135*x^5+289*x^4+84*x^3-36*x^2+5*x-1) lgdogf] A001594 3.40256 [-(7*x^7+334*x^6+1776*x^5+1475*x^4+75*x^3-72*x^2+6*x-1)/(6*x-1)/(x-1)^7 ogf] A001595 14.6190 [(x^2-x+1)/(x-1)/(x^2+x-1) ogf] A001595 14.6203 [-(-1-2*x+x^4-2*x^3+5*x^2)/(-1+x)/(x^2-x+1)/(x^2+x-1) lgdogf] A001595 8.07091 [-(x^4-2*x^3+5*x^2-2*x-1)/(x^5-x^4-x^3+3*x^2-3*x+1) lgdogf] A001595 8.24263 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A001595 8.33125 [(3*f(x)+5)*(f(x)*x^3-2*f(x)*x-x^2+f(x)+x-1) ogf] A001596 4.10852 [(6*x^8+847*x^7+8189*x^6+15777*x^5+5851*x^4-295*x^3-141*x^2+7*x-1)/(7*x-1)/(x-1)^8 ogf] A001603 8.55428 [-(x^4+13*x^2+1)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A001604 7.88439 [-(11*x^4-90*x^3+173*x^2-90*x+11)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A001607 11.1497 [2*f(x)*x^2+f(x)*x+f(x)-x ogf] A001607 13.7048 [-(4*x+1)/(2*x^2+x+1) lgdogf] A001607 17.7792 [x/(2*x^2+x+1) ogf] A001607 36.4423 [-(1+4*x)/(2*x^2+1+x) lgdogf] A001607 8.12136 [{-a(n+2)-a(n+1)-2*a(n),a(0)=0,a(1)=1} ogf] A001608 14.4477 [(x^2-3)/(x^3+x^2-1) ogf] A001608 21.5498 [-x*(-4+x^3-9*x)/(x^3+x^2-1)/(x^2-3) lgdogf] A001608 8.23363 [{a(n+3)-a(n+1)-a(n),a(0)=3,a(1)=0,a(2)=2} ogf] A001608 8.32313 [(69*f(x)-271)*(f(x)*x^3+f(x)*x^2-x^2-f(x)+3) ogf] A001608 9.57160 [-(x^4-9*x^2-4*x)/(x^5+x^4-3*x^3-4*x^2+3) lgdogf] A001609 11.1092 [-(-3*x^4-6*x-1)/(-3*x^5-4*x^3+3*x^2-x+1) lgdogf] A001609 11.9382 [-f(x)*x^3-f(x)*x-3*x^2+f(x)-1 ogf] A001609 16.3237 [-(3*x^2+1)/(x^3+x-1) ogf] A001609 23.0856 [-(1+6*x+3*x^4)/(3*x^2+1)/(x^3+x-1) lgdogf] A001609 8.50916 [{a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A001610 15.1069 [-x*(x-2)/(x-1)/(x^2+x-1) ogf] A001610 18.7027 [-(3+2*x^3-6*x^2)/(x-2)/(-1+x)/(x^2+x-1) lgdogf] A001610 7.95956 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=2,a(2)=3} ogf] A001610 8.13449 [(20*f(x)+39)*(f(x)*x^3-2*f(x)*x+x^2+f(x)-2*x) ogf] A001610 9.73999 [-(-2*x^3+6*x^2-3)/(-x^4+2*x^3+2*x^2-5*x+2) lgdogf] A001611 12.3601 [-f(x)*x^3+2*f(x)*x-2*x^2-f(x)+1 ogf] A001611 14.4761 [-(2*x^2-1)/(x-1)/(x^2+x-1) ogf] A001611 15.4395 [-(2-4*x+2*x^4+x^2)/(-1+x)/(2*x^2-1)/(x^2+x-1) lgdogf] A001611 7.54606 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A001611 8.86662 [-(-2*x^4-x^2+4*x-2)/(-2*x^5+5*x^3-2*x^2-2*x+1) lgdogf] A001612 16.8138 [-(4*x-3)/(x-1)/(x^2+x-1) ogf] A001612 18.0992 [-(2+8*x^3-9*x^2)/(-1+x)/(4*x-3)/(x^2+x-1) lgdogf] A001612 8.04914 [{-a(n+3)+2*a(n+2)-a(n),a(0)=3,a(1)=2,a(2)=4} ogf] A001612 8.40687 [-(5*f(x)+33)*(f(x)*x^3-2*f(x)*x+f(x)+4*x-3) ogf] A001612 9.82622 [-(-8*x^3+9*x^2-2)/(-4*x^4+3*x^3+8*x^2-10*x+3) lgdogf] A001621 15.6406 [-(-3*x^2-6*x-6)/(-x^3+1) lgdogf] A001621 25.8813 [-3*(2+2*x+x^2)/(-1+x)/(x^2+x+1) lgdogf] A001621 32.3018 [[-x^2+6] ogf_with_Euler_transform] A001621 4.92915 [{(-3-n)*a(n+4)+6*a(n+3)+6*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=2,a(2)=12,a(3)=42} ogf] A001621 9.79892 [-2*x*(x^2+x+1)/(x-1)^5 ogf] A001628 16.7502 [-(-6*x-3)/(-x^2-x+1) lgdogf] A001628 17.8669 [-1/(x^2+x-1)^3 ogf] A001628 39.4952 [-3*(1+2*x)/(x^2-1+x) lgdogf] A001628 5.36007 [{(n+3)*a(n+3)+(-5-n)*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A001629 15.4426 [x^2/(x^2+x-1)^2 ogf] A001629 17.0512 [-(-4*x-2)/(-x^2-x+1) lgdogf] A001629 40.5591 [-2*(1+2*x)/(x^2-1+x) lgdogf] A001629 5.53012 [{(-1-n)*a(n+3)+(n+2)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A001629 6.54766 [-(f(x)+1)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)) ogf] A001630 11.1660 [-x^2*(x+1)/(x^4+x^3+x^2+x-1) ogf] A001630 15.2658 [-(2+2*x+3*x^4+6*x^3+4*x^2)/(1+x)/(x^4+x^3+x^2+x-1) lgdogf] A001630 6.36741 [f(x)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3+f(x)*x+x^2-f(x)) ogf] A001630 8.37453 [-(3*x^4+6*x^3+4*x^2+2*x+2)/(x^5+2*x^4+2*x^3+2*x^2-1) lgdogf] A001631 11.5454 [(x-1)*x^2/(x^4+x^3+x^2+x-1) ogf] A001631 11.7152 [-(3*x^4-2*x^3-2*x^2-2*x)/(x^5-2*x+1) lgdogf] A001631 16.5207 [-x*(-2+3*x^3-2*x^2-2*x)/(-1+x)/(x^4+x^3+x^2+x-1) lgdogf] A001631 6.17544 [(f(x)+5)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x+x^2-f(x)) ogf] A001633 13.5938 [-x*(90*x^10-90*x^9-1)/(x-1)^2 ogf] A001633 14.5919 [2*(1-765*x^9+360*x^10+405*x^8)/(-1+x)/(90*x^10-90*x^9-1) lgdogf] A001633 8.46145 [-(-720*x^10+1530*x^9-810*x^8-2)/(90*x^11-180*x^10+90*x^9-x+1) lgdogf] A001634 11.5380 [-x*(4*x^2+3*x+2)/(x+1)/(x^3+x-1) ogf] A001634 12.0755 [-(3+12*x+13*x^4+14*x^3+8*x^5+9*x^2)/(1+x)/(4*x^2+3*x+2)/(x^3+x-1) lgdogf] A001634 6.47255 [(10323*f(x)+19588)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+4*x^3+3*x^2-f(x)+2*x) ogf] A001635 8.63441 [-(3+12*x+10*x^7+18*x^4+14*x^3+17*x^6+20*x^5+24*x^2)/(x^5+x^4+x^3+x^2-1)/(5*x^3+4*x^2+3*x+2) lgdogf] A001635 9.37409 [-x*(5*x^3+4*x^2+3*x+2)/(x^5+x^4+x^3+x^2-1) ogf] A001636 6.96406 [-(3+12*x+12*x^9+26*x^7+18*x^4+38*x^3+21*x^8+26*x^6+20*x^5+24*x^2)/(1+x)/(6*x^4+5*x^3+4*x^2+3*x+2)/(x^5+x^3+x-1) lgdogf] A001636 7.76240 [-x*(6*x^4+5*x^3+4*x^2+3*x+2)/(x+1)/(x^5+x^3+x-1) ogf] A001637 10.3408 [-(9900+30521*x-31599*x^2+81000000*x^87+5890500000*x^86)/(58609*x^2-9000-18010*x-5355000000*x^86+5719500000*x^87-31599*x^3) lgdogf] A001637 11.3245 [-(900*x^88+99000*x^87-27*x^2+21*x+10)/(10800*x^88-9900*x^87-3*x^3+5*x^2-x-1) ogf] A001638 12.3863 [-(-1+9*x^4-12*x^3+x^6-9*x^2)/(-1+x)/(1+x^2)/(x^2+x+4)/(x^2-1+x) lgdogf] A001638 13.0327 [(x-1)*(x^2+x+4)/(x^2+1)/(x^2+x-1) ogf] A001638 7.03534 [(11*f(x)-37)*(f(x)*x^4+f(x)*x^3-x^3+f(x)*x-f(x)-3*x+4) ogf] A001639 8.39931 [-(1+6*x+8*x^7-7*x^4+16*x^3+5*x^8+8*x^6+6*x^5+12*x^2)/(5*x^4+4*x^3+3*x^2+1)/(x^5+x^4+x^3+x-1) lgdogf] A001639 9.71828 [-(5*x^4+4*x^3+3*x^2+1)/(x^5+x^4+x^3+x-1) ogf] A001640 6.64531 [-(1+6*x+10*x^9+8*x^7+23*x^4+16*x^3+6*x^10+11*x^8+8*x^6-12*x^5+12*x^2)/(6*x^5+5*x^4+4*x^3+3*x^2+1)/(x^6+x^5+x^4+x^3+x-1) lgdogf] A001640 8.30139 [-(6*x^5+5*x^4+4*x^3+3*x^2+1)/(x^6+x^5+x^4+x^3+x-1) ogf] A001641 11.2180 [-(3+2*x+2*x^4-4*x^3+4*x^6+14*x^2)/(1+x)/(4*x^3+2*x+1)/(x^3-x^2+2*x-1) lgdogf] A001641 12.9242 [-(4*x^3+2*x+1)/(x+1)/(x^3-x^2+2*x-1) ogf] A001641 6.46208 [-(5175*f(x)-77216)*(f(x)*x^4+f(x)*x^2+4*x^3+f(x)*x-f(x)+2*x+1) ogf] A001642 10.1120 [-(x+1)*(5*x^3-x^2+x+1)/(x^5+x^4+x^2+x-1) ogf] A001642 8.30870 [-(3+2*x+8*x^7-8*x^4+16*x^3+5*x^8+4*x^6-2*x^5+14*x^2)/(1+x)/(5*x^3-x^2+x+1)/(x^5+x^4+x^2+x-1) lgdogf] A001643 6.20053 [-(3+2*x+10*x^9+8*x^7+22*x^4+16*x^3+6*x^10+11*x^8-4*x^6-20*x^5+14*x^2)/(1+x)/(x^2-x+1)/(x^3+x^2+x-1)/(6*x^5+5*x^4+4*x^3+2*x+1) lgdogf] A001643 8.48697 [-(6*x^5+5*x^4+4*x^3+2*x+1)/(x+1)/(x^2-x+1)/(x^3+x^2+x-1) ogf] A001644 13.1591 [(x+3)*(x-1)/(x^3+x^2+x-1) ogf] A001644 15.1610 [-(-1-4*x+x^4+4*x^3-8*x^2)/(-1+x)/(x+3)/(x^3+x^2+x-1) lgdogf] A001644 7.10361 [(11*f(x)-31)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)-2*x+3) ogf] A001644 7.16704 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=1,a(2)=3} ogf] A001644 9.12168 [-(x^4+4*x^3-8*x^2-4*x-1)/(x^5+3*x^4-2*x^2-5*x+3) lgdogf] A001645 10.0295 [-(5*x^4+3*x^2+2*x+1)/(x^5+x^3+x^2+x-1) ogf] A001645 9.13455 [-(3+8*x-7*x^4+24*x^3+5*x^8+4*x^6-2*x^5+2*x^2)/(x^5+x^3+x^2+x-1)/(5*x^4+3*x^2+2*x+1) lgdogf] A001648 10.1669 [-(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x-1) ogf] A001648 10.8274 [-(3+8*x+5*x^4+4*x^6+6*x^5+14*x^2)/(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x-1) lgdogf] A001648 5.25404 [-(54611*f(x)+79606)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+4*x^3+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A001649 7.38540 [-(3+8*x+35*x^4+6*x^10+6*x^8-4*x^6-12*x^5+14*x^2)/(1+x)/(x^5-x^4+2*x^3-x^2+2*x-1)/(6*x^5+4*x^3+3*x^2+2*x+1) lgdogf] A001649 8.56943 [-(6*x^5+4*x^3+3*x^2+2*x+1)/(x+1)/(x^5-x^4+2*x^3-x^2+2*x-1) ogf] A001650 13.9250 [-(x^3+2*x^2+3)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A001651 12.4505 [-(x^3+3*x^2+6*x+2)/(x^4+x^3-x-1) lgdogf] A001651 14.6956 [(x^2+x+1)/(x+1)/(x-1)^2 ogf] A001651 21.4497 [-(2+6*x+x^3+3*x^2)/(-1+x)/(1+x)/(x^2+x+1) lgdogf] A001651 35.7359 [-x^2+x+2 ogf_with_Euler_transform] A001651 8.00386 [(5*f(x)+43)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A001651 8.00388 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A001652 10.2018 [x*(x-3)/(x-1)/(x^2-6*x+1) ogf] A001652 11.9244 [-2*(-10+21*x+x^3-8*x^2)/(-1+x)/(x-3)/(1-6*x+x^2) lgdogf] A001652 5.19199 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=20} ogf] A001652 5.64567 [-f(x)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-x^2-f(x)+3*x) ogf] A001652 6.76166 [-(2*x^3-16*x^2+42*x-20)/(x^4-10*x^3+28*x^2-22*x+3) lgdogf] A001653 11.2682 [-(-x^2+2*x-5)/(-x^3+7*x^2-7*x+1) lgdogf] A001653 16.0258 [-(x-1)/(x^2-6*x+1) ogf] A001653 17.7155 [-1/2*(-6*x-1+(32*x^2+8*x+1)^(1/2))/(x+1) revogf] A001653 22.8587 [-(5-2*x+x^2)/(-1+x)/(1-6*x+x^2) lgdogf] A001653 8.01293 [-(28*f(x)-3)*(f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A001653 8.79467 [{a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=5} ogf] A001654 10.6807 [-(-3*x^2+4*x+2)/(-x^3+2*x^2+2*x-1) lgdogf] A001654 15.1903 [x/(x+1)/(x^2-3*x+1) ogf] A001654 20.4079 [-(-2-4*x+3*x^2)/(1+x)/(x^2-3*x+1) lgdogf] A001654 6.15822 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A001654 6.63652 [-(2*f(x)+1)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A001655 16.2375 [1/(x^2+4*x-1)/(x^2-x-1) ogf] A001655 16.3139 [-(-3-12*x+4*x^3+9*x^2)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A001655 5.94053 [-(187*f(x)+2)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A001655 9.02081 [-(4*x^3+9*x^2-12*x-3)/(x^4+3*x^3-6*x^2-3*x+1) lgdogf] A001656 10.3489 [-1/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A001656 9.77554 [-5*(1+6*x+x^4-4*x^3-9*x^2)/(-1+x)/(x^2+3*x+1)/(x^2-7*x+1) lgdogf] A001657 10.8595 [-1/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A001657 9.35653 [-2*(4+40*x+20*x^4-80*x^3+3*x^5-90*x^2)/(x^2+x-1)/(x^2-1+11*x)/(x^2-4*x-1) lgdogf] A001658 7.59855 [-(-13-208*x-520*x^4+1040*x^3+7*x^6-78*x^5+780*x^2)/(1+x)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) lgdogf] A001658 8.65594 [1/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A001662 16.9250 [1/2*x+1/4*ln(2*x+1) revegf] A001670 13.2586 [-(-x^2-x-1)/(x^2+1) ogf_with_Euler_transform] A001680 23.5194 [1+x+1/2*x^2 lgdegf] A001680 28.4457 [(-2-2*x-x^2)*f(x)+2*f(x)^2 lgdegf] A001680 4.37570 [{(n^2+5*n+6)*a(n+1)+(2*n+6)*a(n+2)-2*a(n+4)+2*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A001681 13.1792 [-6-6*x-x^3-3*x^2+(-6-6*x^2-12*x-2*x^3)*f(x)+12*f(x)^2 lgdegf] A001681 16.1675 [1+x+1/2*x^2+1/6*x^3 lgdegf] A001682 6.77594 [x*(2*x^7+21*x^6+21*x^5+23*x^4+21*x^3+23*x^2+21*x+21)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A001687 14.5200 [-(5*x^4+2*x)/(x^5+x^2-1) lgdogf] A001687 19.8322 [-x/(x^5+x^2-1) ogf] A001687 32.3638 [-x*(2+5*x^3)/(-1+x^2+x^5) lgdogf] A001687 8.55917 [(2*f(x)^2+6*f(x)+1)*(f(x)*x^5+f(x)*x^2-f(x)+x) ogf] A001688 6.60269 [-(-x^4-4*x^3-18*x^2-44*x-53)/(-x^5+x^4-6*x^3-2*x^2-x+9) lgdegf] A001688 7.51340 [-(x^4+6*x^2+8*x+9)/(x-1)^5 egf] A001689 5.88779 [(x^5+10*x^3+20*x^2+45*x+44)/(x-1)^6 egf] A001700 14.2229 [-(x^2+x)/(-4*x^2-4*x-1) revogf] A001700 35.8933 [x*(x+1)/(2*x+1)^2 revogf] A001700 7.04370 [{(-4*n-10)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A001700 9.60504 [4*f(x)^2*x^2-f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A001701 14.3212 [(6+16*x+2*x^3-9*x^2)/(-1+x)/(x^5-5*x^4+9*x^3-6*x^2-x-1) lgdogf] A001701 7.78951 [(x^5-5*x^4+9*x^3-6*x^2-x-1)/(x-1)^5 ogf] A001701 8.44547 [-(-2*x^3+9*x^2-16*x-6)/(x^6-6*x^5+14*x^4-15*x^3+5*x^2+1) lgdogf] A001702 5.48128 [(x^7-7*x^6+21*x^5-34*x^4+29*x^3-7*x^2-17*x-1)/(x-1)^7 ogf] A001702 8.92938 [-(-24-116*x+3*x^4-20*x^3+52*x^2)/(-1+x)/(x^7-7*x^6+21*x^5-34*x^4+29*x^3-7*x^2-17*x-1) lgdogf] A001703 10.1802 [-3*(24000*x^10-24660*x^9-2670*x^8-33*x-4)/(x-1)^2 ogf] A001703 8.56273 [2*(39-2*x+84000*x^9+91965*x^7-181980*x^8+9345*x^6)/(-1+x)/(24000*x^9-24660*x^8-2670*x^7+4*x-41) lgdogf] A001704 12.1698 [-(720*x^9-810*x^8+x-12)/(x-1)^2 ogf] A001704 12.3122 [(23-x+5040*x^9+6480*x^7-11340*x^8)/(-1+x)/(720*x^9-810*x^8+x-12) lgdogf] A001705 5.21750 [{(n^2+6*n+9)*a(n+1)+(-2*n-7)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A001706 3.23371 [{(-n^3-15*n^2-75*n-125)*a(n+1)+(3*n^2+33*n+91)*a(n+2)+(-3*n-18)*a(n+3)+a(n+4),a(0)=1,a(1)=9,a(2)=71,a(3)=580} ogf] A001710 13.9602 [1/2*(x^2-2)/(x-1) egf] A001710 14.7816 [2*f(x)*x-x^2-2*f(x)+2 egf] A001710 21.5458 [(2-2*x+x^2)/(-1+x)/(x^2-2) lgdegf] A001710 8.94328 [-(x^2-2*x+2)/(-x^3+x^2+2*x-2) lgdegf] A001711 4.65775 [{(-n^2-10*n-25)*a(n+1)+(2*n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=47} ogf] A001712 3.01167 [{(-n^3-18*n^2-108*n-216)*a(n+1)+(3*n^2+39*n+127)*a(n+2)+(-3*n-21)*a(n+3)+a(n+4),a(0)=1,a(1)=12,a(2)=119,a(3)=1175} ogf] A001715 14.7255 [1/(x-1)^4 egf] A001715 22.1679 [(-1+(1+3*x)^(1/3))/(1+3*x)^(1/3) revegf] A001715 25.7697 [4/(-x+1) lgdegf] A001715 5.96324 [-(f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-1) egf] A001715 78.8192 [-4/(-1+x) lgdegf] A001715 8.19944 [{(-n-5)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A001716 4.82190 [{(-n^2-12*n-36)*a(n+1)+(2*n+13)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=74} ogf] A001717 3.10578 [{(-n^3-21*n^2-147*n-343)*a(n+1)+(3*n^2+45*n+169)*a(n+2)+(-3*n-24)*a(n+3)+a(n+4),a(0)=1,a(1)=15,a(2)=179,a(3)=2070} ogf] A001720 11.4752 [-1/(x-1)^5 egf] A001720 16.0777 [(-1+(1+4*x)^(1/4))/(1+4*x)^(1/4) revegf] A001720 24.1798 [5/(-x+1) lgdegf] A001720 57.1651 [-5/(-1+x) lgdegf] A001720 7.69358 [{(-n-6)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A001721 4.47634 [{(-n^2-14*n-49)*a(n+1)+(2*n+15)*a(n+2)-a(n+3),a(0)=1,a(1)=11,a(2)=107} ogf] A001722 3.21334 [{(-n^3-24*n^2-192*n-512)*a(n+1)+(3*n^2+51*n+217)*a(n+2)+(-3*n-27)*a(n+3)+a(n+4),a(0)=1,a(1)=18,a(2)=251,a(3)=3325} ogf] A001725 10.6629 [(-1+(1+5*x)^(1/5))/(1+5*x)^(1/5) revegf] A001725 10.8595 [1/(x-1)^6 egf] A001725 24.8218 [6/(-x+1) lgdegf] A001725 37.9127 [-6/(-1+x) lgdegf] A001725 7.89783 [{(-n-7)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A001730 16.9809 [(-1+(1+6*x)^(1/6))/(1+6*x)^(1/6) revegf] A001730 19.8197 [7/(-x+1) lgdegf] A001730 6.30626 [{(-n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A001730 60.3766 [-7/(-1+x) lgdegf] A001730 7.60207 [-1/(x-1)^7 egf] A001752 14.3189 [-1/(x+1)/(x-1)^5 ogf] A001752 18.5495 [-(-6*x-4)/(-x^2+1) lgdogf] A001752 31.2753 [-2*(2+3*x)/(-1+x)/(1+x) lgdogf] A001752 38.6226 [[4+x] ogf_with_Euler_transform] A001752 6.04578 [{(n+3)*a(n+3)-4*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=4,a(2)=11} ogf] A001753 13.9066 [-(-7*x-5)/(-x^2+1) lgdogf] A001753 28.4716 [-(7*x+5)/(-1+x)/(1+x) lgdogf] A001753 28.8811 [[5+x] ogf_with_Euler_transform] A001753 4.53251 [{(n+3)*a(n+3)-5*a(n+2)+(-8-n)*a(n+1),a(0)=1,a(1)=5,a(2)=16} ogf] A001753 8.86796 [1/(x+1)/(x-1)^6 ogf] A001754 12.7983 [1/2*x^2/(x-1)^4 egf] A001754 24.6824 [4/(-x+1) lgdegf] A001754 6.06233 [{(-n^2-5*n-6)*a(n+1)+n*a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A001754 6.91107 [-2*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2+8*f(x)*x+x^2-2*f(x) egf] A001754 76.1130 [-4/(-1+x) lgdegf] A001755 13.9566 [-20*(1+x)*(x^2+5*x+1)/(-1+x)/(4*x^3+18*x^2+12*x+1) lgdegf] A001755 6.11733 [(4*x^3+18*x^2+12*x+1)/(x-1)^8 egf] A001755 6.17052 [{(-n^2-11*n-30)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=20} ogf] A001755 8.06375 [-(20*x^3+120*x^2+120*x+20)/(4*x^4+14*x^3-6*x^2-11*x-1) lgdegf] A001756 5.65616 [{(-2*n^2-13*n-15)*a(n+1)+(n+2)*a(n+2),a(0)=15,a(1)=60} ogf] A001756 7.62923 [-(-5*x^3+12*x^2-12*x+8)/(-10*x^4+23*x^3-21*x^2+10*x-2) lgdegf] A001757 3.53333 [{(-4*n^3-32*n^2-84*n-72)*a(n+1)+(-4*n-14)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A001761 14.0289 [-1+f(x)-f(x)^2*x egf] A001761 17.0795 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A001761 5.04547 [{(4*n^2+14*n+12)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=1} ogf] A001761 9.58640 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A001762 2.90035 [{(-162*n^4-810*n^3-684*n^2-144*n)*a(n)+(27*n^4+294*n^3+981*n^2+1302*n+600)*a(n+1)+(-4*n^3-30*n^2-74*n-60)*a(n+2),a(0)=1,a(1)=1} ogf] A001763 11.5116 [hypergeom([1/3,2/3],[3/2],27/4*x) egf] A001763 16.2848 [-1+f(x)-x*f(x)^3 egf] A001763 18.7461 [1/27+2/3*x-1/27*(-(-1+6*x)^3)^(1/2) revegf] A001763 5.75582 [{(27*n^2+81*n+60)*a(n+1)+(-4*n-10)*a(n+2),a(0)=1,a(1)=1} ogf] A001764 13.3195 [hypergeom([1/3,2/3],[3/2],27/4*x) ogf] A001764 18.8422 [-1+f(x)-x*f(x)^3 ogf] A001764 33.0285 [1/2*(1+(1-4*x)^(1/2))*x revogf] A001764 6.18025 [{(-27*n^2-81*n-60)*a(n+1)+(4*n^2+18*n+20)*a(n+2),a(0)=1,a(1)=1} ogf] A001769 11.4665 [-1/(x+1)/(x-1)^7 ogf] A001769 20.0663 [-(-8*x-6)/(-x^2+1) lgdogf] A001769 25.8296 [-2*(4*x+3)/(-1+x)/(1+x) lgdogf] A001769 41.7457 [[6+x] ogf_with_Euler_transform] A001769 6.54013 [{(n+3)*a(n+3)-6*a(n+2)+(-9-n)*a(n+1),a(0)=1,a(1)=6,a(2)=22} ogf] A001777 10.0287 [-30*(1+10*x+x^4+10*x^3+20*x^2)/(-1+x)/(5*x^4+40*x^3+60*x^2+20*x+1) lgdegf] A001777 5.85614 [{(-n^2-13*n-42)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=30} ogf] A001777 6.23570 [-(-30*x^4-300*x^3-600*x^2-300*x-30)/(-5*x^5-35*x^4-20*x^3+40*x^2+19*x+1) lgdegf] A001778 5.44469 [{(-n^2-15*n-56)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=42} ogf] A001778 7.59020 [-42*(1+x)*(x^4+14*x^3+36*x^2+14*x+1)/(-1+x)/(6*x^5+75*x^4+200*x^3+150*x^2+30*x+1) lgdegf] A001779 12.6472 [-(-9*x-7)/(-x^2+1) lgdogf] A001779 25.8642 [-(7+9*x)/(-1+x)/(1+x) lgdogf] A001779 26.2098 [[7+x] ogf_with_Euler_transform] A001779 4.09174 [{(n+3)*a(n+3)-7*a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=7,a(2)=29} ogf] A001779 5.85765 [1/(x+1)/(x-1)^8 ogf] A001780 13.1066 [-(-10*x-8)/(-x^2+1) lgdogf] A001780 25.0639 [-2*(5*x+4)/(-1+x)/(1+x) lgdogf] A001780 27.7792 [[8+x] ogf_with_Euler_transform] A001780 4.33676 [{(n+3)*a(n+3)-8*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=8,a(2)=37} ogf] A001780 6.14374 [-1/(x+1)/(x-1)^9 ogf] A001781 13.1101 [-(-11*x-9)/(-x^2+1) lgdogf] A001781 26.2169 [-(9+11*x)/(-1+x)/(1+x) lgdogf] A001781 27.7714 [[9+x] ogf_with_Euler_transform] A001781 4.33790 [{(n+3)*a(n+3)-9*a(n+2)+(-12-n)*a(n+1),a(0)=1,a(1)=9,a(2)=46} ogf] A001781 5.31491 [1/(x+1)/(x-1)^10 ogf] A001786 11.8259 [-(-12*x-10)/(-x^2+1) lgdogf] A001786 23.0920 [-2*(5+6*x)/(-1+x)/(1+x) lgdogf] A001786 24.4132 [[10+x] ogf_with_Euler_transform] A001786 3.94196 [{(n+3)*a(n+3)-10*a(n+2)+(-13-n)*a(n+1),a(0)=1,a(1)=10,a(2)=56} ogf] A001786 4.53326 [-1/(x+1)/(x-1)^11 ogf] A001787 13.2755 [-4*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A001787 23.7351 [x/(2*x-1)^2 ogf] A001787 27.9735 [4/(-2*x+1) lgdogf] A001787 29.4278 [4*x/(1+(1+8*x)^(1/2))^2 revogf] A001787 61.5308 [-4/(-1+2*x) lgdogf] A001787 9.66984 [{a(n+2)-4*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A001788 14.8313 [-x/(2*x-1)^3 ogf] A001788 22.2469 [6/(-2*x+1) lgdogf] A001788 5.56173 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A001788 55.7297 [-6/(-1+2*x) lgdogf] A001788 7.98607 [8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A001789 12.7818 [1/(2*x-1)^4 ogf] A001789 23.7376 [8/(-2*x+1) lgdogf] A001789 5.36009 [-(f(x)+1)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A001789 59.2382 [-8/(-1+2*x) lgdogf] A001789 6.33002 [{(-n-2)*a(n+2)+(10+2*n)*a(n+1),a(0)=1,a(1)=8} ogf] A001791 10.3774 [(-(6*x-1)/(-1+4*x)^(1/2)+I)/(-1+4*x)^(1/2)/x lgdogf] A001791 11.1814 [1/8*((1+6*x+x^2)^(1/2)*x+(1+6*x+x^2)^(1/2)-1-4*x+x^2)/x^2 revogf] A001791 6.34654 [{(-4*n^2-14*n-12)*a(n+1)+(n^2+4*n+3)*a(n+2),a(0)=0,a(1)=1} ogf] A001791 9.97312 [-4*f(x)^2*x^2+f(x)^2*x-4*f(x)*x+f(x)-x ogf] A001792 16.5345 [-(-2*x+3)/(-2*x^2+3*x-1) lgdogf] A001792 17.6368 [-(x-1)/(2*x-1)^2 ogf] A001792 22.2798 [2*x/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2)) revogf] A001792 32.4913 [-(2*x-3)/(-1+2*x)/(-1+x) lgdogf] A001792 9.3371 [(4*f(x)+5)*(4*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A001792 9.67871 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=3} ogf] A001793 12.7117 [(x-1)/(2*x-1)^3 ogf] A001793 14.3007 [-(-4*x+5)/(-2*x^2+3*x-1) lgdogf] A001793 26.9242 [-(-5+4*x)/(-1+2*x)/(-1+x) lgdogf] A001793 6.02134 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A001793 6.47579 [(19*f(x)-30)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-f(x)-x+1) ogf] A001794 10.1307 [-(x-1)/(2*x-1)^4 ogf] A001794 13.5075 [-(-6*x+7)/(-2*x^2+3*x-1) lgdogf] A001794 25.4132 [-(-7+6*x)/(-1+2*x)/(-1+x) lgdogf] A001794 4.26554 [{(n+3)*a(n+3)+(-13-3*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=32} ogf] A001794 5.10521 [(61*f(x)+121)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A001804 19.2727 [-3*(3+6*x+x^2)/(-1+x)/(x^2+4*x+1) lgdegf] A001804 5.68225 [{(-n^2-8*n-16)*a(n+1)+(n+2)*a(n+2),a(0)=2,a(1)=18} ogf] A001804 8.19971 [-2*(x^2+4*x+1)/(x-1)^5 egf] A001804 9.96580 [-(3*x^2+18*x+9)/(x^3+3*x^2-3*x-1) lgdegf] A001805 13.5294 [-4*(4+18*x+x^3+12*x^2)/(-1+x)/(1+x)/(x^2+8*x+1) lgdegf] A001805 5.62994 [{(-n^2-10*n-25)*a(n+1)+(n+2)*a(n+2),a(0)=6,a(1)=96} ogf] A001805 6.05087 [-6*(x+1)*(x^2+8*x+1)/(x-1)^7 egf] A001805 8.63257 [-(4*x^3+48*x^2+72*x+16)/(x^4+8*x^3-8*x-1) lgdegf] A001806 5.44848 [{(-n^2-12*n-36)*a(n+1)+(n+2)*a(n+2),a(0)=24,a(1)=600} ogf] A001806 5.95768 [-(-5*x^4-100*x^3-300*x^2-200*x-25)/(-x^5-15*x^4-20*x^3+20*x^2+15*x+1) lgdegf] A001806 9.93872 [-5*(5+40*x+x^4+20*x^3+60*x^2)/(-1+x)/(x^4+16*x^3+36*x^2+16*x+1) lgdegf] A001807 5.21899 [{(-n^2-14*n-49)*a(n+1)+(n+2)*a(n+2),a(0)=120,a(1)=4320} ogf] A001807 7.82013 [-6*(6+75*x+30*x^4+150*x^3+x^5+200*x^2)/(-1+x)/(1+x)/(x^4+24*x^3+76*x^2+24*x+1) lgdegf] A001808 14.1087 [-803-949*x+(315+286*x-73*x^2)*f(x)+(-22+22*x^2)*f(x)^2 lgdogf] A001808 16.8581 [-(-13*x-11)/(-x^2+1) lgdogf] A001808 34.8975 [[11+x] ogf_with_Euler_transform] A001808 5.49982 [1/(x+1)/(x-1)^12 ogf] A001808 5.61938 [{(n+3)*a(n+3)-11*a(n+2)+(-14-n)*a(n+1),a(0)=1,a(1)=11,a(2)=67} ogf] A001809 15.8167 [-1/2*x^2/(x-1)^3 egf] A001809 23.1601 [3/(-x+1) lgdegf] A001809 5.68845 [{(-n^2-4*n-4)*a(n+1)+n*a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A001809 62.9103 [-3/(-1+x) lgdegf] A001809 7.08239 [(6*f(x)-1)*(2*f(x)*x^3-6*f(x)*x^2+6*f(x)*x+x^2-2*f(x)) egf] A001810 14.0286 [1/6*x^3/(x-1)^4 egf] A001810 26.0530 [4/(-x+1) lgdegf] A001810 5.48485 [{(-n^2-4*n-4)*a(n+1)+(-1+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A001810 5.65493 [-(24*f(x)+1)*(6*f(x)*x^4-24*f(x)*x^3+36*f(x)*x^2-x^3-24*f(x)*x+6*f(x)) egf] A001810 80.7105 [-4/(-1+x) lgdegf] A001811 5.65507 [{(-n^2-12*n-36)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=25} ogf] A001811 6.07788 [-(-5*x^4-100*x^3-300*x^2-200*x-25)/(-x^5-15*x^4-20*x^3+20*x^2+15*x+1) lgdegf] A001812 5.85422 [-(-6*x^5-180*x^4-900*x^3-1200*x^2-450*x-36)/(-x^6-24*x^5-75*x^4+75*x^2+24*x+1) lgdegf] A001812 6.00694 [{(-n^2-14*n-49)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=36} ogf] A001812 8.70817 [-6*(6+75*x+30*x^4+150*x^3+x^5+200*x^2)/(-1+x)/(1+x)/(x^4+24*x^3+76*x^2+24*x+1) lgdegf] A001813 13.938 [-4*f(x)^2*x+f(x)^2-1 egf] A001813 19.4277 [2/(-4*x+1) lgdegf] A001813 48.4221 [-2/(-1+4*x) lgdegf] A001813 59.1826 [-x*(-1+x) revegf] A001813 6.18155 [{(-4*n-6)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A001814 10.9795 [-(12*x+12)/(8*x^2+2*x-1) lgdegf] A001814 20.6878 [-12*(1+x)/(1+2*x)/(-1+4*x) lgdegf] A001814 4.77368 [{(-4*n^2-22*n-30)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=12} ogf] A001815 16.4145 [-2*x^2/(2*x-1)^3 ogf] A001815 26.9666 [6/(-2*x+1) lgdogf] A001815 6.80240 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A001815 63.3665 [-6/(-1+2*x) lgdogf] A001815 9.20812 [8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+2*x^2-f(x) ogf] A001816 11.8537 [-12/(2*x-1)^5 ogf] A001816 25.7510 [10/(-2*x+1) lgdogf] A001816 6.91463 [{(-n-2)*a(n+2)+(12+2*n)*a(n+1),a(0)=12,a(1)=120} ogf] A001816 61.1587 [-10/(-1+2*x) lgdogf] A001818 6.71710 [{(4*n^2+12*n+9)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A001819 2.81880 [{(n^3+6*n^2+12*n+8)*a(n+1)+(-2*n^2-10*n-13)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=1,a(2)=5/2} egf] A001823 10.4293 [-(259+1876*x+3*x^4+340*x^3+2002*x^2)/(-1+x)/(x^4+84*x^3+350*x^2+196*x+9) lgdogf] A001823 4.04793 [{(-2*n^2-13*n-21)*a(n+1)+(74*n^2+685*n+1647)*a(n+2)+(-72*n^2-252*n-216)*a(n+3),a(0)=0,a(1)=9,a(2)=259} ogf] A001823 6.23779 [-x*(x^4+84*x^3+350*x^2+196*x+9)/(x-1)^7 ogf] A001824 2.89269 [{(-16*n^4-160*n^3-600*n^2-1000*n-625)*a(n+1)+(8*n^3+64*n^2+170*n+148)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=10,a(2)=259/2} egf] A001834 11.7597 [-(x^2+2*x-5)/(x^3-3*x^2-3*x+1) lgdogf] A001834 16.7249 [(x+1)/(x^2-4*x+1) ogf] A001834 17.6093 [-1/2*(-1-4*x+(1+12*x+12*x^2)^(1/2))/(-1+x) revogf] A001834 23.8577 [-(-5+2*x+x^2)/(1+x)/(x^2-4*x+1) lgdogf] A001834 8.7514 [(18*f(x)+7)*(f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A001834 9.17830 [{-a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A001835 14.1631 [-(3*x-1)/(x^2-4*x+1) ogf] A001835 15.6116 [-1/2*(-1-4*x+(1-4*x+12*x^2)^(1/2))/(3+x) revogf] A001835 18.3666 [-(1-2*x+3*x^2)/(3*x-1)/(x^2-4*x+1) lgdogf] A001835 7.16109 [-(8*f(x)-7)*(f(x)*x^2-4*f(x)*x+f(x)+3*x-1) ogf] A001835 7.77241 [{a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A001835 9.80520 [-(-3*x^2+2*x-1)/(-3*x^3+13*x^2-7*x+1) lgdogf] A001839 8.74483 [-(-1-3*x-9*x^9-7*x^7-4*x^4-13*x^3+4*x^10-11*x^8-5*x^6-16*x^5-7*x^2)/(-1+x)/(1+x)/(x^2+x+1)/(x^2-x+1)/(x^5-2*x^4-2*x^3-1) lgdogf] A001839 9.70532 [x^2*(x^5-2*x^4-2*x^3-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A001840 14.8794 [-x/(x^2+x+1)/(x-1)^3 ogf] A001840 16.3102 [-(-5*x^2-2*x-2)/(-x^3+1) lgdogf] A001840 26.9644 [-(2+2*x+5*x^2)/(-1+x)/(x^2+x+1) lgdogf] A001840 33.7829 [[x^2+2] ogf_with_Euler_transform] A001840 5.20324 [{(n+3)*a(n+4)-2*a(n+3)-2*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A001841 4.22817 [-(x^5+2*x^4+2*x^3+2*x^2+2*x+3)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A001844 13.4540 [-(x+1)^2/(x-1)^3 ogf] A001844 18.6521 [-(x+5)/(x^2-1) lgdogf] A001844 38.8682 [[5-2*x] ogf_with_Euler_transform] A001844 41.1358 [-(x+5)/(-1+x)/(1+x) lgdogf] A001844 7.26278 [(19*f(x)-30)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+1) ogf] A001844 7.26278 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A001845 17.4383 [-(x+7)/(x^2-1) lgdogf] A001845 36.2867 [[7-3*x] ogf_with_Euler_transform] A001845 39.6069 [-(7+x)/(-1+x)/(1+x) lgdogf] A001845 5.48062 [(61*f(x)+121)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A001845 5.68361 [{(-n-3)*a(n+3)+7*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=7,a(2)=25} ogf] A001845 9.96477 [(x+1)^3/(x-1)^4 ogf] A001846 18.2187 [-(x+9)/(x^2-1) lgdogf] A001846 37.8829 [[9-4*x] ogf_with_Euler_transform] A001846 41.4306 [-(x+9)/(-1+x)/(1+x) lgdogf] A001846 5.93796 [{(-n-3)*a(n+3)+9*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=9,a(2)=41} ogf] A001846 8.43815 [-(x+1)^4/(x-1)^5 ogf] A001847 17.6318 [-(x+11)/(x^2-1) lgdogf] A001847 35.7598 [[11-5*x] ogf_with_Euler_transform] A001847 38.9663 [-(x+11)/(-1+x)/(1+x) lgdogf] A001847 5.79147 [{(-n-3)*a(n+3)+11*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=11,a(2)=61} ogf] A001847 6.95992 [(x+1)^5/(x-1)^6 ogf] A001848 17.6368 [-(x+13)/(x^2-1) lgdogf] A001848 35.7447 [[13-6*x] ogf_with_Euler_transform] A001848 38.9896 [-(13+x)/(-1+x)/(1+x) lgdogf] A001848 5.79309 [{(-n-3)*a(n+3)+13*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=13,a(2)=85} ogf] A001848 6.01253 [-(x+1)^6/(x-1)^7 ogf] A001849 17.3839 [-(x+15)/(x^2-1) lgdogf] A001849 35.2036 [[15-7*x] ogf_with_Euler_transform] A001849 38.4336 [-(15+x)/(-1+x)/(1+x) lgdogf] A001849 5.21517 [(x+1)^7/(x-1)^8 ogf] A001849 5.66867 [{(-n-3)*a(n+3)+15*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=15,a(2)=113} ogf] A001850 11.7538 [f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A001850 14.0444 [-(x-3)/(x^2-6*x+1) lgdogf] A001850 34.8204 [-(-3+x)/(1-6*x+x^2) lgdogf] A001850 4.43507 [{(-n-3)*a(n+3)+(15+6*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=3,a(2)=13} ogf] A001859 12.5214 [-(-3*x^2-10*x-5)/(-x^3-2*x^2+x+2) lgdogf] A001859 14.2788 [-x*(x+2)/(x+1)/(x-1)^3 ogf] A001859 23.5910 [-(5+10*x+3*x^2)/(-1+x)/(x+2)/(1+x) lgdogf] A001859 4.13142 [{(-6-2*n)*a(n+4)+(3-n)*a(n+3)+(12+2*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=2,a(2)=5,a(3)=10} ogf] A001859 7.07729 [-(351*f(x)-985)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+x^2-f(x)+2*x) ogf] A001860 13.2757 [-(12+22*x+8*x^4+21*x^3+33*x^2)/(-1+x)/(x^2+x+1)/(2*x^2+3*x+3) lgdogf] A001860 8.21169 [-(-8*x^4-21*x^3-33*x^2-22*x-12)/(-2*x^5-3*x^4-3*x^3+2*x^2+3*x+3) lgdogf] A001860 9.22662 [x*(2*x^2+3*x+3)/(x^2+x+1)/(x-1)^4 ogf] A001861 17.2583 [(-n-2)*a(n+2)+a(n+1),a(0)=2,a(1)=2 lgdegf] A001861 26.4026 [2*exp(x) lgdegf] A001862 31.3660 [-exp(x)*(x*exp(-x)-1-x) lgdegf] A001862 7.97967 [(-1/(x+1)*x*exp(-x)+1)*(exp(x)*x+exp(x)) lgdegf] A001870 18.1428 [-(5-7*x+3*x^2)/(-1+x)/(x^2-3*x+1) lgdogf] A001870 4.89269 [(976*f(x)-49)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A001870 9.55605 [-(-3*x^2+7*x-5)/(-x^3+4*x^2-4*x+1) lgdogf] A001870 9.86431 [-(x-1)/(x^2-3*x+1)^2 ogf] A001871 13.4234 [1/(x^2-3*x+1)^2 ogf] A001871 13.9827 [-(4*x-6)/(x^2-3*x+1) lgdogf] A001871 29.9153 [-2*(2*x-3)/(x^2-3*x+1) lgdogf] A001871 4.41559 [{(-n-3)*a(n+3)+(12+3*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=6,a(2)=25} ogf] A001871 5.54684 [(295*f(x)+16)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A001872 15.3814 [-(-8*x-4)/(-x^2-x+1) lgdogf] A001872 36.2286 [-4*(1+2*x)/(x^2-1+x) lgdogf] A001872 4.88946 [{(n+3)*a(n+3)+(-6-n)*a(n+2)+(-9-n)*a(n+1),a(0)=1,a(1)=4,a(2)=14} ogf] A001872 9.11491 [1/(x^2+x-1)^4 ogf] A001873 14.2354 [-280-560*x+(31-106*x-56*x^2)*f(x)+(-5*x^2+5-5*x)*f(x)^2 lgdogf] A001873 16.2589 [-(-10*x-5)/(-x^2-x+1) lgdogf] A001873 5.24136 [{(n+3)*a(n+3)+(-7-n)*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=5,a(2)=20} ogf] A001873 7.73482 [-1/(x^2+x-1)^5 ogf] A001874 12.5076 [-2016-4032*x+(186-636*x-336*x^2)*f(x)+(-25*x^2+25-25*x)*f(x)^2 lgdogf] A001874 16.1036 [-(-12*x-6)/(-x^2-x+1) lgdogf] A001874 5.19130 [{(n+3)*a(n+3)+(-8-n)*a(n+2)+(-13-n)*a(n+1),a(0)=1,a(1)=6,a(2)=27} ogf] A001874 6.52131 [1/(x^2+x-1)^6 ogf] A001875 12.4916 [-2744-5488*x+(217-742*x-392*x^2)*f(x)+(-25*x^2+25-25*x)*f(x)^2 lgdogf] A001875 16.0806 [-(-14*x-7)/(-x^2-x+1) lgdogf] A001875 5.18387 [{(n+3)*a(n+3)+(-9-n)*a(n+2)+(-15-n)*a(n+1),a(0)=1,a(1)=7,a(2)=35} ogf] A001875 5.51013 [-1/(x^2+x-1)^7 ogf] A001879 10.0825 [-3366-1683*x+(1365-159*x-1122*x^2)*f(x)+(268*x^2-134+134*x)*f(x)^2 lgdegf] A001879 14.1088 [-(3*x+6)/(2*x^2+x-1) lgdegf] A001879 5.94054 [{(-2*n^2-11*n-15)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=6} ogf] A001880 16.7493 [-15*(2+6*x+x^2)/(-1+2*x)/(3*x^2+12*x+2) lgdegf] A001880 5.78074 [{(-2*n^2-15*n-28)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=15} ogf] A001880 9.77625 [-(15*x^2+90*x+30)/(6*x^3+21*x^2-8*x-2) lgdegf] A001881 15.9979 [-21*(2+10*x+5*x^2)/(-1+2*x)/(15*x^2+20*x+2) lgdegf] A001881 6.08235 [{(-2*n^2-17*n-36)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=21} ogf] A001881 9.71486 [-(105*x^2+210*x+42)/(30*x^3+25*x^2-16*x-2) lgdegf] A001882 10.1515 [-(3+10*x-14*x^4-16*x^3+2*x^6+12*x^5+9*x^2)/(x^3+3*x^2-3*x-2)/(2*x^4-4*x^2+1) lgdogf] A001882 12.0882 [-(x^3+3*x^2-3*x-2)/(2*x^4-4*x^2+1) ogf] A001882 7.48316 [(172*f(x)+159)*(2*f(x)*x^4-4*f(x)*x^2+x^3+3*x^2+f(x)-3*x-2) ogf] A001891 10.5002 [-(-3*x^3-5*x^2+4)/(-x^4-x^3+2*x^2+x-1) lgdogf] A001891 12.2771 [-(x+1)*x/(x^2+x-1)/(x-1)^2 ogf] A001891 19.6795 [-(-4+3*x^3+5*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A001891 4.40891 [{(2*n+7)*a(n+1)+2*a(n+2)+(-4*n-12)*a(n+3)+(2*n+5)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=10} ogf] A001891 6.23448 [(112*f(x)+17)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)+x) ogf] A001900 3.21865 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-n^3-11*n^2-41*n-50)*a(n+2)-2*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=16} ogf] A001903 11.8866 [-(3*x^2+6*x+1)/(x^2+1)/(x-1) ogf] A001903 12.6340 [-(7+4*x+3*x^4+12*x^3-6*x^2)/(-1+x)/(1+x^2)/(3*x^2+6*x+1) lgdogf] A001903 6.25073 [-(5*f(x)+97)*(f(x)*x^3-f(x)*x^2+f(x)*x+3*x^2-f(x)+6*x+1) ogf] A001903 6.47396 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=9} ogf] A001906 13.5613 [-f(x)*x^2+3*f(x)*x-f(x)+x ogf] A001906 16.6692 [-(2*x-3)/(x^2-3*x+1) lgdogf] A001906 19.2638 [-1/2*(-1-3*x+(x+1)^(1/2)*(1+5*x)^(1/2))/x revogf] A001906 24.2461 [x/(x^2-3*x+1) ogf] A001906 39.4909 [-(2*x-3)/(x^2+1-3*x) lgdogf] A001906 9.87802 [{a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A001907 16.2583 [-(-3-4*x)/(-4*x+1) lgdegf] A001907 29.0777 [-3-4*x+(1-4*x)*f(x) lgdegf] A001907 4.78186 [{(-4*n-8)*a(n+1)+(-4*n-11)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=25} ogf] A001908 17.3422 [-(-4-5*x)/(-5*x+1) lgdegf] A001908 35.9014 [-4-5*x+(1-5*x)*f(x) lgdegf] A001908 5.06342 [{(-5*n-10)*a(n+1)+(-5*n-14)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=41} ogf] A001909 6.37899 [{a(n)*n+(n+4)*a(n+1)-a(n+2),a(0)=0,a(1)=1} ogf] A001910 6.61096 [{a(n)*n+(n+5)*a(n+1)-a(n+2),a(0)=0,a(1)=1} ogf] A001911 11.1022 [f(x)*x^3-2*f(x)*x-x^2+f(x)-x ogf] A001911 15.1806 [(x+1)*x/(x-1)/(x^2+x-1) ogf] A001911 18.3254 [-(-3+2*x^3+3*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A001911 7.99839 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A001911 9.78750 [-(-2*x^3-3*x^2+3)/(-x^4-x^3+2*x^2+x-1) lgdogf] A001919 11.4523 [-(-18*x^2+50*x-40)/(-3*x^3+11*x^2-14*x+6) lgdogf] A001919 19.9032 [-2*(20-25*x+9*x^2)/(-1+x)/(3*x^2-8*x+6) lgdogf] A001919 3.81744 [{(-6*n-24)*a(n+4)+(82+14*n)*a(n+3)+(-72-11*n)*a(n+2)+(21+3*n)*a(n+1),a(0)=6,a(1)=40,a(2)=155,a(3)=456} ogf] A001919 7.45482 [(3*x^2-8*x+6)/(x-1)^8 ogf] A001920 8.94384 [-6*x*(253+506*x^2+x^4+1288*x)/(1+759*x^2+2576*x^3+759*x^4+x^6) lgdogf] A001920 9.01092 [1/(x^6+759*x^4+2576*x^3+759*x^2+1) ogf] A001921 11.1290 [x*(x-7)/(x-1)/(x^2-14*x+1) ogf] A001921 12.7015 [-2*(-52+105*x+x^3-18*x^2)/(-1+x)/(x-7)/(x^2-14*x+1) lgdogf] A001921 5.70965 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=0,a(1)=7,a(2)=104} ogf] A001921 6.25343 [-f(x)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-x^2-f(x)+7*x) ogf] A001921 7.29567 [-(2*x^3-36*x^2+210*x-104)/(x^4-22*x^3+120*x^2-106*x+7) lgdogf] A001922 11.9919 [(7*x-1)/(x-1)/(x^2-14*x+1) ogf] A001922 5.49629 [-(5056080*f(x)+357167)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)-7*x+1) ogf] A001922 5.68582 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=105} ogf] A001922 7.41073 [-(14*x^3-108*x^2+30*x-8)/(7*x^4-106*x^3+120*x^2-22*x+1) lgdogf] A001922 9.46185 [-2*(-4+15*x+7*x^3-54*x^2)/(-1+x)/(7*x-1)/(x^2-14*x+1) lgdogf] A001924 14.4854 [-(4*x^2+x-3)/(x^3-2*x+1) lgdogf] A001924 16.5548 [-x/(x^2+x-1)/(x-1)^2 ogf] A001924 25.8152 [-(1+x)*(4*x-3)/(-1+x)/(x^2+x-1) lgdogf] A001924 4.53175 [{(-3-n)*a(n+4)+(7+2*n)*a(n+3)-a(n+2)+(-n-4)*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A001924 6.70398 [-(3*f(x)+1)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+x) ogf] A001925 17.0136 [-2*(-3-x+3*x^3+4*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A001925 3.48157 [{(-n^2-11*n-28)*a(n+1)-n*a(n+2)+(2*n^2+17*n+33)*a(n+3)+(-n^2-7*n-12)*a(n+4),a(0)=1,a(1)=6,a(2)=22,a(3)=64} ogf] A001925 8.97015 [-(x+1)/(x^2+x-1)^2/(x-1)^3 ogf] A001925 9.53079 [-(-6*x^3-8*x^2+2*x+6)/(-x^4-x^3+2*x^2+x-1) lgdogf] A001926 17.0816 [-(-9-2*x+8*x^3+11*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A001926 6.46509 [-(x+1)^2/(x^2+x-1)^3/(x-1)^4 ogf] A001926 9.65773 [-(8*x^3+11*x^2-2*x-9)/(x^4+x^3-2*x^2-x+1) lgdogf] A001932 10.8304 [-(3-4*x+15*x^4+10*x^3+4*x^5-12*x^2)/(-1+2*x)/(x+2)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A001932 12.1568 [-x*(x+2)*(2*x-1)/(x^2+x-1)/(x^2+2*x-1) ogf] A001932 6.81196 [(4*f(x)-17)*(f(x)*x^4+3*f(x)*x^3+2*x^3-3*f(x)*x+3*x^2+f(x)-2*x) ogf] A001934 17.6668 [-(2*x+4)/(x^2-1) ogf_with_Euler_transform] A001934 99.9999 Evaluated at exp(-Pi) 1/Pi^(1/2)*2^(1/2)*GAMMA(3/4)^2 A001935 17.1558 [-(-x^2-x-1)/(-x^4+1) ogf_with_Euler_transform] A001935 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*2^(1/2) A001936 15.2927 [-(-2*x^2-2*x-2)/(-x^4+1) ogf_with_Euler_transform] A001936 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/4*Pi) A001937 16.6743 [-(-3*x^2-3*x-3)/(-x^4+1) ogf_with_Euler_transform] A001937 99.9999 Evaluated at exp(-Pi) 1/4*exp(3/8*Pi)*2^(1/2) A001938 13.4768 [-(4*x-4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A001938 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*2^(1/2) A001939 15.9786 [-(-5*x^2-5*x-5)/(-x^4+1) ogf_with_Euler_transform] A001939 99.9999 Evaluated at exp(-Pi) 1/8*exp(5/8*Pi)*2^(1/2) A001940 15.2559 [-(-6*x^2-6*x-6)/(-x^4+1) ogf_with_Euler_transform] A001940 99.9999 Evaluated at exp(-Pi) 1/8*exp(3/4*Pi) A001941 15.2329 [-(-7*x^2-7*x-7)/(-x^4+1) ogf_with_Euler_transform] A001941 99.9999 Evaluated at exp(-Pi) 1/16*exp(7/8*Pi)*2^(1/2) A001945 7.44362 [-(-1-4*x+2*x^9+8*x^7-5*x^4-24*x^3+7*x^8+14*x^6+14*x^5-18*x^2)/(x^3+x^2-1)/(x^3-x-1)/(x^4+2*x^3+x^2+2*x+1) lgdogf] A001945 7.55363 [x*(x^4+2*x^3+x^2+2*x+1)/(x^3+x^2-1)/(x^3-x-1) ogf] A001946 14.8512 [(11*x-2)/(x^2+11*x-1) ogf] A001946 17.1506 [-(-11-4*x+11*x^2)/(-2+11*x)/(x^2-1+11*x) lgdogf] A001946 7.34743 [-(125*f(x)-129)*(f(x)*x^2+11*f(x)*x-f(x)-11*x+2) ogf] A001946 8.30958 [{-a(n+2)+11*a(n+1)+a(n),a(0)=2,a(1)=11} ogf] A001946 9.97150 [-(11*x^2-4*x-11)/(11*x^3+119*x^2-33*x+2) lgdogf] A001947 10.7310 [-(4*x^2-6*x-29)/(4*x^3+41*x^2-37*x+3) lgdogf] A001947 15.6299 [(4*x-3)/(x^2+11*x-1) ogf] A001947 16.4417 [1/2/(-4+x)*(-3-11*x+(9+50*x+125*x^2)^(1/2)) revogf] A001947 19.1079 [-(-29-6*x+4*x^2)/(4*x-3)/(x^2-1+11*x) lgdogf] A001947 7.64868 [-(325*f(x)-134)*(f(x)*x^2+11*f(x)*x-f(x)-4*x+3) ogf] A001947 8.55923 [{-a(n+2)+11*a(n+1)+a(n),a(0)=3,a(1)=29} ogf] A001949 14.9701 [-(-6*x^5+2)/(-x^6+2*x-1) lgdogf] A001949 18.6210 [-2*(-1+3*x^5)/(-1+x)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A001949 23.5892 [x^5/(x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A001955 7.09161 [(2*x^9+x^8+x^7+2*x^6+x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A001957 5.88354 [-x*(x^25-x^24-x^9-2*x^8-x^7-x^6-2*x^5-x^4-x^3-x^2-2*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A001958 5.84036 [-(x^26-x^25-3*x^10-5*x^9-4*x^8-4*x^7-5*x^6-4*x^5-4*x^4-4*x^3-5*x^2-4*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A001971 10.0112 [-x^2*(x^2-x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A001971 13.3766 [-(1+2*x-3*x^4+6*x^3+4*x^5+2*x^2)/(-1+x)/(1+x)/(1+x^2)/(x^2-x+1) lgdogf] A001971 20.6714 [-x^5+x^3+x^2+x+1 ogf_with_Euler_transform] A001972 14.0675 [-(6*x^3+2*x^2+2*x+2)/(x^4-1) lgdogf] A001972 14.8079 [-1/(x+1)/(x^2+1)/(x-1)^3 ogf] A001972 19.7081 [-a(n+4)+a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=6 lgdogf] A001972 33.6204 [[x^3+2] ogf_with_Euler_transform] A001973 17.0966 [-x^5+2*x^2+2*x+1 ogf_with_Euler_transform] A001973 7.37777 [(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A001973 7.47484 [-(-5*x^5-x^4-5*x^3-7*x^2-5*x-1)/(-x^6+1) lgdogf] A001973 8.78305 [-(1+5*x+7*x^2+5*x^3+x^4+5*x^5)/(-1+x)/(1+x)/(x^2+x+1)/(x^2-x+1) lgdogf] A001978 4.04471 [x*(x^6+2*x^5+2*x^4+x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^6 ogf] A001993 12.2020 [-(3*x^2+2*x+1)*(5*x^3+2*x^2+4*x+1)/(-1+x)/(1+x)/(1+x^2)/(x^2+x+1) lgdogf] A001993 25.2010 [x^3+2*x^2+2*x+1 ogf_with_Euler_transform] A001993 6.85393 [1/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A001994 20.3946 [x^4+x^3+x^2+2*x+1 ogf_with_Euler_transform] A001994 5.83773 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^6 ogf] A001994 7.30147 [-(1+7*x+17*x^9+58*x^7+53*x^4+35*x^3+35*x^8+68*x^6+69*x^5+17*x^2)/(-1+x)/(1+x)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A001996 14.3420 [x*(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A001996 4.51193 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A001998 10.8235 [-(6*x^3-4*x^2-2*x+1)/(x-1)/(3*x-1)/(3*x^2-1) ogf] A001998 6.01303 [{-a(n+4)+4*a(n+3)-12*a(n+1)+9*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A001998 6.47847 [-(13*f(x)+33)*(9*f(x)*x^4-12*f(x)*x^3+6*x^3+4*f(x)*x-4*x^2-f(x)-2*x+1) ogf] A001998 8.02053 [-2*(1-4*x-3*x^4+18*x^3+27*x^6-36*x^5-x^2)/(-1+x)/(3*x-1)/(3*x^2-1)/(6*x^3-4*x^2-2*x+1) lgdogf] A002001 10.6341 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=3} ogf] A002001 17.0145 [-4*f(x)*x+f(x)+x-1 ogf] A002001 20.6934 [(x-1)/(4*x-1) ogf] A002001 21.2682 [-3/(-4*x^2+5*x-1) lgdogf] A002001 23.5194 [1/2+2*x-1/2*(1+4*x+16*x^2)^(1/2) revogf] A002001 44.2718 [3/(-1+4*x)/(-1+x) lgdogf] A002002 5.41641 [-f(x)^2*x^2+6*f(x)^2*x-f(x)*x^2-f(x)^2+6*f(x)*x-f(x)+x ogf] A002002 8.30165 [-1/2*(2*(8*x^2+8*x+1)^(1/2)*x+(8*x^2+8*x+1)^(1/2)-1-6*x-6*x^2)/x/(x+1) revogf] A002003 10.7861 [-(2*(2*x^2+2*x+1)^(1/2)*x+(2*x^2+2*x+1)^(1/2)-1-3*x-3*x^2)/x/(x+1) revogf] A002003 3.50202 [{(n^2+n)*a(n)+(-7*n^2-13*n-6)*a(n+1)+(7*n^2+29*n+30)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=2,a(2)=8} ogf] A002003 6.61852 [f(x)^2*x^2-6*f(x)^2*x+f(x)*x^2+f(x)^2-6*f(x)*x+f(x)-2*x ogf] A002005 6.95126 [64*x^3*f(x)^3-96*f(x)^2*x^2+f(x)^2*x+30*f(x)*x-f(x)-27*x+1 ogf] A002011 24.1881 [6/(-4*x+1) lgdogf] A002011 6.38930 [{(-n-2)*a(n+2)+(10+4*n)*a(n+1),a(0)=4,a(1)=24} ogf] A002011 60.4294 [-6/(-1+4*x) lgdogf] A002011 7.96784 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-16 ogf] A002017 108.603 [cos(x) lgdegf] A002017 31.4406 [cos(x) lgdegf] A002018 5.11207 [{(-n^3-3*n^2-2*n)*a(n)+(2*n^2+8*n+8)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A002019 18.1599 [-1/(-x^2-1) lgdegf] A002019 40.1835 [-1+(1+x^2)*f(x) lgdegf] A002019 5.69722 [{(n^2+n)*a(n)+a(n+2)-a(n+1),a(0)=1,a(1)=1} ogf] A002020 5.20093 [{(n^2+n)*a(n)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A002023 13.6901 [{a(n+1)-4*a(n),a(0)=6} ogf] A002023 17.363 [-4*f(x)*x+f(x)-6 ogf] A002023 25.4244 [4/(-4*x+1) lgdogf] A002023 28.4753 [-6/(4*x-1) ogf] A002023 29.1321 [-1/4*ln(3)+1/4*ln(2*x+3) revegf] A002023 63.5610 [-4/(-1+4*x) lgdogf] A002024 25.0799 [-(2+x)/(-x-1) ogf_with_Euler_transform] A002026 11.8064 [f(x)^2*x^3+f(x)*x^2+2*f(x)*x-f(x)+x ogf] A002026 13.7741 [-2/x+2*I/x/(x+1)^(1/2)/(3*x-1)^(1/2) lgdogf] A002026 5.10726 [{(3*n^2+15*n+18)*a(n+1)+(2*n^2+13*n+21)*a(n+2)+(-n^2-8*n-12)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A002041 14.9022 [-2*(3-x+40*x^3-36*x^2)/(-1+x)/(1+2*x)/(-1+2*x)/(5*x-1) lgdogf] A002041 16.0313 [-1/(x-1)/(2*x+1)/(2*x-1)/(5*x-1) ogf] A002041 6.10145 [-(1382689*f(x)-278000)*(20*f(x)*x^4-24*f(x)*x^3-f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A002041 9.73329 [-(80*x^3-72*x^2-2*x+6)/(20*x^4-24*x^3-x^2+6*x-1) lgdogf] A002042 13.8123 [{a(n+1)-4*a(n),a(0)=7} ogf] A002042 17.5181 [-4*f(x)*x+f(x)-7 ogf] A002042 25.6514 [4/(-4*x+1) lgdogf] A002042 28.7296 [-7/(4*x-1) ogf] A002042 29.3970 [-1/4*ln(7)+1/4*ln(7+4*x) revegf] A002042 64.1388 [-4/(-1+4*x) lgdogf] A002054 5.80968 [{(-4*n^2-26*n-42)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=1,a(1)=5} ogf] A002054 7.522 [-4*f(x)^2*x^4+f(x)^2*x^3+4*f(x)*x^2-5*f(x)*x+f(x)-1 ogf] A002055 3.32881 [{(4*n^2+30*n+56)*a(n+1)+(7*n^2+77*n+216)*a(n+2)+(-2*n^2-20*n-42)*a(n+3),a(0)=1,a(1)=9,a(2)=56} ogf] A002057 12.1636 [8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A002057 18.2016 [8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A002057 5.93345 [{(-4*n^2-26*n-42)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=1,a(1)=4} ogf] A002057 9.4781 [f(x)^2*x^4-2*f(x)*x^2+4*f(x)*x-f(x)+1 ogf] A002058 5.25953 [{(-4*n^2-34*n-72)*a(n+1)+(n^2+9*n+14)*a(n+2),a(0)=2,a(1)=14} ogf] A002058 7.85761 [(-1/2*(24*x-5)/(-1+4*x)^(1/2)+5/2*I)/x/(-1+4*x)^(1/2) lgdogf] A002059 3.15668 [{(-8*n^2-76*n-180)*a(n+1)+(-34*n^2-432*n-1400)*a(n+2)+(9*n^2+108*n+243)*a(n+3),a(0)=3,a(1)=32,a(2)=225} ogf] A002061 13.6479 [-(-3*x^2-2*x-1)/(-3*x^3+5*x^2-3*x+1) lgdogf] A002061 14.3191 [-(3*x^2-2*x+1)/(x-1)^3 ogf] A002061 24.5024 [-(1+2*x+3*x^2)/(-1+x)/(3*x^2-2*x+1) lgdogf] A002061 7.59534 [-(4*f(x)-3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A002061 7.79879 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A002062 12.2584 [x*(3*x-2)/(x^2+x-1)/(x-1)^2 ogf] A002062 17.4607 [-(3-5*x+9*x^3-5*x^2)/(3*x-2)/(-1+x)/(x^2+x-1) lgdogf] A002062 4.55313 [{-a(n)*n-a(n+1)+(2*n-1)*a(n+2)+(-n+1)*a(n+3),a(0)=0,a(1)=2,a(2)=3,a(3)=5,a(4)=7} ogf] A002062 6.12922 [-(f(x)-28)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+2*x) ogf] A002062 9.95998 [-(-9*x^3+5*x^2+5*x-3)/(-3*x^4+2*x^3+6*x^2-7*x+2) lgdogf] A002063 13.8123 [{a(n+1)-4*a(n),a(0)=9} ogf] A002063 17.5181 [-4*f(x)*x+f(x)-9 ogf] A002063 25.6514 [4/(-4*x+1) lgdogf] A002063 28.7296 [-9/(4*x-1) ogf] A002063 29.3970 [-1/2*ln(3)+1/4*ln(4*x+9) revegf] A002063 64.1388 [-4/(-1+4*x) lgdogf] A002064 12.4975 [-(2*x^2-2*x+1)/(x-1)/(2*x-1)^2 ogf] A002064 14.6786 [-(-3+6*x+4*x^3-6*x^2)/(-1+x)/(-1+2*x)/(1+2*x^2-2*x) lgdogf] A002064 6.80666 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A002064 6.86797 [(8*f(x)+1)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A002064 9.29690 [-(4*x^3-6*x^2+6*x-3)/(4*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A002066 13.8515 [{a(n+1)-4*a(n),a(0)=10} ogf] A002066 17.4793 [-4*f(x)*x+f(x)-10 ogf] A002066 26.2189 [4/(-4*x+1) lgdogf] A002066 28.2358 [-10/(4*x-1) ogf] A002066 30.0591 [-1/4*ln(5)+1/4*ln(5+2*x) revegf] A002066 65.5834 [-4/(-1+4*x) lgdogf] A002081 11.5199 [2*(2*x^3+2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A002081 13.9794 [-2*(1+x+3*x^4-x^3+x^5+5*x^2)/(-1+x)/(1+x^2)/(1+2*x^3+2*x^2) lgdogf] A002081 4.26880 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=2,a(1)=4,a(2)=8,a(3)=16} ogf] A002081 6.51903 [-f(x)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-4*x^3-2*f(x)*x-4*x^2+f(x)-2) ogf] A002081 8.66963 [-(2*x^5+6*x^4-2*x^3+10*x^2+2*x+2)/(2*x^6+x^3-3*x^2+x-1) lgdogf] A002089 13.8515 [{a(n+1)-4*a(n),a(0)=11} ogf] A002089 17.4793 [-4*f(x)*x+f(x)-11 ogf] A002089 26.2189 [4/(-4*x+1) lgdogf] A002089 27.7468 [-1/4*ln(11)+1/4*ln(11+4*x) revegf] A002089 28.2358 [-11/(4*x-1) ogf] A002089 65.5834 [-4/(-1+4*x) lgdogf] A002104 3.12956 [{(-n-2)*a(n+1)+(2*n+6)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=8} ogf] A002107 22.5878 [2/(x-1) ogf_with_Euler_transform] A002107 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/12*Pi)*Pi^(1/2)*2^(1/4)/GAMMA(3/4)^2 A002119 11.8394 [(-2+(4*x+1)^(1/2))/(4*x+1) lgdegf] A002119 15.3683 [3-4*x+(4+16*x)*f(x)+(1+8*x+16*x^2)*f(x)^2 lgdegf] A002119 33.1632 [ln(1+x)*(ln(1+x)+1) revegf] A002135 14.5419 [-(-x^2+2)/(2*x-2) lgdegf] A002135 33.0253 [1/2*(-2+x^2)/(-1+x) lgdegf] A002135 4.15484 [{(n^2+5*n+6)*a(n+1)+(-2*n-8)*a(n+3)+2*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A002136 18.1003 [-(-x^2+4)/(2*x-2) lgdegf] A002136 35.6306 [1/2*(x-2)*(x+2)/(-1+x) lgdegf] A002136 5.10522 [{(n^2+5*n+6)*a(n+1)+(-2*n-10)*a(n+3)+2*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=23} ogf] A002137 15.4637 [-(-x^2+2*x)/(2*x-2) lgdegf] A002137 22.3665 [(-2*x+x^2)*f(x)+(2-2*x)*f(x)^2 lgdegf] A002137 3.63851 [{(n^2+5*n+6)*a(n+1)+(-2*n-6)*a(n+2)+(-2*n-6)*a(n+3)+2*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A002171 19.7210 [-(4*x+2)/(-x^2+1) ogf_with_Euler_transform] A002171 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi*2^(1/4)/GAMMA(3/4)^4 A002175 11.5205 [-(2*x^4+2*x+2)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A002203 12.2336 [-(x^2-2*x-1)/(x^3+x^2-3*x+1) lgdogf] A002203 17.3989 [2*(x-1)/(x^2+2*x-1) ogf] A002203 24.0379 [-(-1-2*x+x^2)/(-1+x)/(x^2+2*x-1) lgdogf] A002203 9.21117 [(5*f(x)-9)*(f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A002203 9.54817 [{-a(n+2)+2*a(n+1)+a(n),a(0)=2,a(1)=2} ogf] A002212 10.2227 [1/2*x+1/2-1/2*(5*x^2-2*x+1)^(1/2) revogf] A002212 11.6878 [-f(x)^2*x-f(x)*x+f(x)+x-1 ogf] A002212 18.2016 [1/2+1/2*x-1/2*(1-2*x+5*x^2)^(1/2) revogf] A002212 9.24079 [1/2*((5*x-1)^(1/2)*(-1+x)^(1/2)+1-x)/x/(-1+x)^(3/2)/(5*x-1)^(1/2) lgdogf] A002215 6.05048 [-f(x)^2*x^3-4*f(x)*x^3-3*f(x)*x^2+x^3+2*f(x)*x-x^2+f(x)-3*x-1 ogf] A002248 4.54075 [-(98*f(x)+127)*(4*f(x)*x^4-8*f(x)*x^3+7*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-2) ogf] A002248 8.02617 [-2*(2-9*x-8*x^4-8*x^3+8*x^5+16*x^2)/(-1+x)/(-1+2*x)/(2*x^2-1)/(2*x^2-x+1) lgdogf] A002248 9.22122 [-2*(2*x^2-1)/(2*x-1)/(x-1)/(2*x^2-x+1) ogf] A002249 10.4326 [-(2*x^2-8*x+1)/(2*x^3-5*x^2+3*x-2) lgdogf] A002249 10.5982 [2*f(x)*x^2-f(x)*x+f(x)+x-2 ogf] A002249 14.8375 [-(x-2)/(2*x^2-x+1) ogf] A002249 22.7097 [-(1-8*x+2*x^2)/(x-2)/(2*x^2-x+1) lgdogf] A002249 8.14252 [{a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=1} ogf] A002250 12.8146 [(5*x-1)/(4*x-1)/(3*x-1) ogf] A002250 13.6357 [-2*(1-12*x+30*x^2)/(-1+4*x)/(3*x-1)/(5*x-1) lgdogf] A002250 14.6584 [1/2/(-5+12*x)*(-1+7*x+(1+6*x+x^2)^(1/2)) revogf] A002250 6.5497 [-(f(x)+1)*(12*f(x)*x^2-7*f(x)*x+f(x)-5*x+1) ogf] A002250 7.10207 [{-a(n+2)+7*a(n+1)-12*a(n),a(0)=-1,a(1)=-2} ogf] A002250 8.54307 [-(60*x^2-24*x+2)/(60*x^3-47*x^2+12*x-1) lgdogf] A002264 10.5862 [f(x)*x^4-f(x)*x^3-x^3-f(x)*x+f(x) ogf] A002264 16.4901 [-(4*x^2+x+1)/(x^3-1) lgdogf] A002264 20.9143 [x^3/(x^2+x+1)/(x-1)^2 ogf] A002264 29.4191 [-(1+x+4*x^2)/(-1+x)/(x^2+x+1) lgdogf] A002264 34.1945 [[x^2+1] ogf_with_Euler_transform] A002265 14.5337 [-(5*x^3+x^2+x+1)/(x^4-1) lgdogf] A002265 20.7625 [-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdogf] A002265 21.2689 [x^4/(x+1)/(x^2+1)/(x-1)^2 ogf] A002265 34.7808 [[x^3+1] ogf_with_Euler_transform] A002266 12.8016 [-(6*x^4+x^3+x^2+x+1)/(x^5-1) lgdogf] A002266 19.4429 [-(1+x+x^2+x^3+6*x^4)/(-1+x)/(x^4+x^3+x^2+x+1) lgdogf] A002266 21.2320 [x^5/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A002266 34.7250 [[x^4+1] ogf_with_Euler_transform] A002275 11.679 [-10*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A002275 13.7003 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002275 18.0329 [-1/20*(-11*x-1+(81*x^2+22*x+1)^(1/2))/x revogf] A002275 20.3548 [x/(10*x-1)/(x-1) ogf] A002275 26.0476 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002275 8.58335 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A002276 10.4605 [-10*f(x)*x^2+11*f(x)*x-f(x)+2*x ogf] A002276 12.2710 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002276 12.6732 [-1/20*(-2-11*x+(4+44*x+81*x^2)^(1/2))/x revogf] A002276 16.3613 [2*x/(10*x-1)/(x-1) ogf] A002276 18.3057 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002276 7.68783 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=2} ogf] A002277 10.5160 [-1/20*(-3-11*x+(3+22*x+27*x^2)^(1/2)*3^(1/2))/x revogf] A002277 12.8955 [3*x/(10*x-1)/(x-1) ogf] A002277 18.3057 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002277 6.05933 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=3} ogf] A002277 8.24467 [-10*f(x)*x^2+11*f(x)*x-f(x)+3*x ogf] A002277 9.67162 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002278 12.3563 [-1/20*(-4-11*x+(16+88*x+81*x^2)^(1/2))/x revogf] A002278 12.8955 [4*x/(10*x-1)/(x-1) ogf] A002278 18.3057 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002278 6.05933 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=4} ogf] A002278 8.24467 [-10*f(x)*x^2+11*f(x)*x-f(x)+4*x ogf] A002278 9.67162 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002279 12.0550 [-1/20*(-5-11*x+(25+110*x+81*x^2)^(1/2))/x revogf] A002279 12.8955 [5*x/(10*x-1)/(x-1) ogf] A002279 18.3057 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002279 6.05933 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=5} ogf] A002279 8.24467 [-10*f(x)*x^2+11*f(x)*x-f(x)+5*x ogf] A002279 9.67162 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002280 10.2969 [-1/20*(-6-11*x+(12+44*x+27*x^2)^(1/2)*3^(1/2))/x revogf] A002280 12.8955 [6*x/(10*x-1)/(x-1) ogf] A002280 18.3057 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002280 6.05933 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=6} ogf] A002280 8.24467 [-10*f(x)*x^2+11*f(x)*x-f(x)+6*x ogf] A002280 9.67162 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002281 10.4605 [-10*f(x)*x^2+11*f(x)*x-f(x)+7*x ogf] A002281 12.2710 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002281 15.3440 [-1/20*(-7-11*x+(49+154*x+81*x^2)^(1/2))/x revogf] A002281 16.3613 [7*x/(10*x-1)/(x-1) ogf] A002281 23.3001 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002281 7.68783 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=7} ogf] A002282 10.4605 [-10*f(x)*x^2+11*f(x)*x-f(x)+8*x ogf] A002282 12.2710 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002282 15.3440 [-1/20*(-8-11*x+(64+176*x+81*x^2)^(1/2))/x revogf] A002282 16.3613 [8*x/(10*x-1)/(x-1) ogf] A002282 23.3001 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002282 7.68783 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=8} ogf] A002283 10.5398 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=9} ogf] A002283 14.341 [-10*f(x)*x^2+11*f(x)*x-f(x)+9*x ogf] A002283 15.7276 [-1/20*(-9-11*x+3*(9+22*x+9*x^2)^(1/2))/x revogf] A002283 16.8231 [-(20*x-11)/(10*x^2-11*x+1) lgdogf] A002283 22.4308 [9*x/(10*x-1)/(x-1) ogf] A002283 23.3001 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A002284 7.14784 [-(-13*x^7+2*x^6-3*x^5+2*x^4-x^3+2*x^2-3*x+2)/(x^8-1) ogf_with_Euler_transform] A002284 99.9999 Evaluated at exp(-Pi) 1/8388608/Pi^(13/4)/GAMMA(7/8)^13*GAMMA(5/8)^13*(7*2^(1/2)+10)*(2+2^(1/2))^(1/2) A002288 17.8415 [-(16*x+8)/(-x^2+1) ogf_with_Euler_transform] A002288 99.9999 Evaluated at exp(-Pi) 1/128*Pi^4/GAMMA(3/4)^16 A002293 4.32342 [{(-256*n^3-1152*n^2-1712*n-840)*a(n+1)+(27*n^3+162*n^2+321*n+210)*a(n+2),a(0)=1,a(1)=1} ogf] A002294 3.55468 [{(-3125*n^4-18750*n^3-41875*n^2-41250*n-15120)*a(n+1)+(256*n^4+1920*n^3+5360*n^2+6600*n+3024)*a(n+2),a(0)=1,a(1)=1} ogf] A002299 15.8800 [-3*(7+35*x+x^3+21*x^2)/(-1+x)/(1+x)/(x^2+14*x+1) lgdogf] A002299 6.31077 [{(2*n^2+17*n+36)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=21} ogf] A002299 7.92066 [(x+1)*(x^2+14*x+1)/(x-1)^6 ogf] A002299 9.95160 [-(3*x^3+63*x^2+105*x+21)/(x^4+14*x^3-14*x-1) lgdogf] A002300 11.7217 [-(-5*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x^7-1) ogf_with_Euler_transform] A002301 13.5725 [2/(x-1)^4 egf] A002301 19.2079 [(-2+(8+12*x)^(1/3))/(8+12*x)^(1/3) revegf] A002301 23.7519 [4/(-x+1) lgdegf] A002301 5.68421 [(f(x)+2)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-2) egf] A002301 7.55741 [{(-n-5)*a(n+1)+a(n+2),a(0)=2,a(1)=8} ogf] A002301 72.5632 [-4/(-1+x) lgdegf] A002302 3.83442 [2/15*(x^6-6*x^5+15*x^4-20*x^3+15*x^2+30*x+15)/(x-1)^6 egf] A002302 8.45161 [-60*(2+3*x)/(-1+x)/(x^6-6*x^5+15*x^4-20*x^3+15*x^2+30*x+15) lgdegf] A002309 11.0039 [-2*(41+420*x+x^4+116*x^3+574*x^2)/(-1+x)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A002309 6.92608 [-(-2*x^4-232*x^3-1148*x^2-840*x-82)/(-x^5-75*x^4-154*x^3+154*x^2+75*x+1) lgdogf] A002309 7.05434 [(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^6 ogf] A002310 10.6587 [-(-3*x^2+2*x-2)/(-3*x^3+16*x^2-8*x+1) lgdogf] A002310 15.3959 [-(3*x-1)/(x^2-5*x+1) ogf] A002310 17.0026 [-1/2*(-1-5*x+(1-2*x+21*x^2)^(1/2))/(3+x) revogf] A002310 20.0030 [-(2-2*x+3*x^2)/(3*x-1)/(x^2-5*x+1) lgdogf] A002310 7.61336 [-(77*f(x)-61)*(f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A002310 8.44896 [{a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A002315 11.4151 [-(x^2+2*x-7)/(x^3-5*x^2-5*x+1) lgdogf] A002315 13.9903 [-1/2*(-6*x-1+(32*x^2+16*x+1)^(1/2))/(-1+x) revogf] A002315 16.2349 [(x+1)/(x^2-6*x+1) ogf] A002315 18.9546 [-(-7+2*x+x^2)/(1+x)/(1-6*x+x^2) lgdogf] A002315 8.495 [(40*f(x)+9)*(f(x)*x^2-6*f(x)*x+f(x)-x-1) ogf] A002315 8.90938 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A002316 4.17384 [-(20592*f(x)-16103)*(f(x)*x^4+6*f(x)*x^3+11*f(x)*x^2-2*x^3-6*f(x)*x-7*x^2+f(x)+x-1) ogf] A002316 7.57558 [-(-5+8*x+17*x^4+16*x^3+2*x^6+14*x^5+43*x^2)/(2*x^3+7*x^2-x+1)/(x^4+6*x^3+11*x^2-6*x+1) lgdogf] A002316 8.02662 [(2*x^3+7*x^2-x+1)/(x^4+6*x^3+11*x^2-6*x+1) ogf] A002317 4.22319 [-(20592*f(x)+3899)*(f(x)*x^4+6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x+x^2+f(x)+7*x-2) ogf] A002317 8.06736 [-(x^3+x^2+7*x-2)/(x^4+6*x^3+11*x^2-6*x+1) ogf] A002317 8.08245 [-(5-46*x+16*x^4+88*x^3+x^6+2*x^5+44*x^2)/(x^3+x^2+7*x-2)/(x^4+6*x^3+11*x^2-6*x+1) lgdogf] A002320 12.9824 [-(2*x-1)/(x^2-5*x+1) ogf] A002320 14.2961 [-1/2*(-1-5*x+(1+2*x+21*x^2)^(1/2))/(2+x) revogf] A002320 16.3384 [-(3-2*x+2*x^2)/(-1+2*x)/(x^2-5*x+1) lgdogf] A002320 6.49119 [-(13*f(x)-4)*(f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A002320 7.12448 [{a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A002320 8.98780 [-(-2*x^2+2*x-3)/(-2*x^3+11*x^2-7*x+1) lgdogf] A002370 3.89523 [{(-4*n^3-24*n^2-47*n-30)*a(n+1)+(4*n^2+20*n+25)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A002378 10.8253 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2*x ogf] A002378 18.5233 [-2*x/(x-1)^3 ogf] A002378 29.7696 [3/(-x+1) lgdogf] A002378 7.50944 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=6} ogf] A002378 91.3058 [-3/(-1+x) lgdogf] A002408 14.9944 [-(-8*x^3-8*x^2-8)/(x^4-1) ogf_with_Euler_transform] A002408 99.9999 Evaluated at exp(-Pi) 1/64*Pi^2/GAMMA(3/4)^8 A002409 21.5160 [14/(-2*x+1) lgdogf] A002409 5.88644 [{(-n-2)*a(n+2)+(16+2*n)*a(n+1),a(0)=1,a(1)=14} ogf] A002409 50.9517 [-14/(-1+2*x) lgdogf] A002409 7.70325 [-1/(2*x-1)^7 ogf] A002411 12.6334 [x*(2*x+1)/(x-1)^4 ogf] A002411 17.1077 [-(6+6*x)/(2*x^2-x-1) lgdogf] A002411 35.2094 [-6*(1+x)/(1+2*x)/(-1+x) lgdogf] A002411 5.51120 [{(n+2)*a(n+3)+(-5+n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A002411 6.08273 [-(5130*f(x)+6151)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-x) ogf] A002412 11.1234 [x*(3*x+1)/(x-1)^4 ogf] A002412 15.0629 [-(-9*x-7)/(-3*x^2+2*x+1) lgdogf] A002412 30.9545 [-(7+9*x)/(3*x+1)/(-1+x) lgdogf] A002412 4.85248 [{(-2-n)*a(n+3)+(5-2*n)*a(n+2)+(9+3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=7} ogf] A002412 5.20159 [-(105728*f(x)+167481)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-x) ogf] A002413 11.7692 [x*(4*x+1)/(x-1)^4 ogf] A002413 15.6121 [-(-12*x-8)/(-4*x^2+3*x+1) lgdogf] A002413 30.1542 [-4*(2+3*x)/(1+4*x)/(-1+x) lgdogf] A002413 5.09997 [{(-2-n)*a(n+3)+(5-3*n)*a(n+2)+(12+4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=8} ogf] A002413 5.54345 [-(95750*f(x)+189209)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-x) ogf] A002414 12.5180 [(5*x+1)/(x-1)^4 ogf] A002414 15.5836 [-(-15*x-9)/(-5*x^2+4*x+1) lgdogf] A002414 29.9537 [-3*(3+5*x)/(5*x+1)/(-1+x) lgdogf] A002414 5.02367 [{(n+3)*a(n+3)+(-1+4*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=1,a(1)=9,a(2)=30} ogf] A002414 5.78483 [(592704*f(x)+2313839)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-5*x-1) ogf] A002415 10.4560 [-x^2*(x+1)/(x-1)^5 ogf] A002415 18.7733 [-(4*x+6)/(x^2-1) lgdogf] A002415 35.5891 [-2*(2*x+3)/(-1+x)/(1+x) lgdogf] A002415 39.0809 [[6-x] ogf_with_Euler_transform] A002415 6.25777 [{(n+1)*a(n+3)-6*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A002417 11.4035 [-(3*x+1)/(x-1)^5 ogf] A002417 16.5234 [-(-12*x-8)/(-3*x^2+2*x+1) lgdogf] A002417 31.7997 [-4*(2+3*x)/(3*x+1)/(-1+x) lgdogf] A002417 5.32662 [{(n+3)*a(n+3)+(-4+2*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=1,a(1)=8,a(2)=30} ogf] A002418 14.4072 [-(-16*x-9)/(-4*x^2+3*x+1) lgdogf] A002418 28.9668 [-(9+16*x)/(1+4*x)/(-1+x) lgdogf] A002418 4.70635 [{(-2-n)*a(n+3)+(6-3*n)*a(n+2)+(16+4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9} ogf] A002418 9.41271 [-x*(4*x+1)/(x-1)^5 ogf] A002419 10.4477 [-(5*x+1)/(x-1)^5 ogf] A002419 14.8358 [-(-20*x-10)/(-5*x^2+4*x+1) lgdogf] A002419 27.9790 [-10*(1+2*x)/(5*x+1)/(-1+x) lgdogf] A002419 4.84829 [{(n+3)*a(n+3)+(-2+4*n)*a(n+2)+(-25-5*n)*a(n+1),a(0)=1,a(1)=10,a(2)=40} ogf] A002420 23.2179 [4*x-1+f(x)^2 ogf] A002420 25.7055 [2/(4*x-1) lgdogf] A002420 6.92072 [{(n+2)*a(n+2)+(-2-4*n)*a(n+1),a(0)=1,a(1)=-2} ogf] A002420 79.6396 [2/(-1+4*x) lgdogf] A002421 15.3054 [64*x^3-48*x^2+12*x-1+f(x)^2 ogf] A002421 27.3311 [6/(4*x-1) lgdogf] A002421 7.35837 [{(n+2)*a(n+2)+(2-4*n)*a(n+1),a(0)=1,a(1)=-6} ogf] A002421 75.5066 [6/(-1+4*x) lgdogf] A002422 19.6614 [10/(4*x-1) lgdogf] A002422 37.6114 [-10+(-1+4*x)*f(x) lgdogf] A002422 5.43029 [{(n+2)*a(n+2)+(6-4*n)*a(n+1),a(0)=1,a(1)=-10} ogf] A002423 19.8783 [14/(4*x-1) lgdogf] A002423 33.5180 [-14+(-1+4*x)*f(x) lgdogf] A002423 5.43841 [{(n+2)*a(n+2)+(10-4*n)*a(n+1),a(0)=1,a(1)=-14} ogf] A002424 21.0166 [18/(4*x-1) lgdogf] A002424 40.2095 [-18+(-1+4*x)*f(x) lgdogf] A002424 5.74982 [{(n+2)*a(n+2)+(14-4*n)*a(n+1),a(0)=1,a(1)=-18} ogf] A002426 12.4711 [-3*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A002426 16.3683 [-(-3*x-1)/(-3*x^2-2*x+1) lgdogf] A002426 19.1571 [(-x+(4*x^2+1)^(1/2))/(1+3*x^2)*x revogf] A002426 27.8648 [-(3*x+1)/(1+x)/(3*x-1) lgdogf] A002426 5.23785 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A002446 10.3631 [-4*f(x)*x^2+5*f(x)*x-f(x)+6*x ogf] A002446 12.7379 [-(8*x-5)/(4*x^2-5*x+1) lgdogf] A002446 16.5249 [6*x/(4*x-1)/(x-1) ogf] A002446 24.0806 [-(-5+8*x)/(-1+4*x)/(-1+x) lgdogf] A002446 7.54841 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=0,a(1)=6} ogf] A002447 10.9542 [-(9*x^2+4*x)/(3*x^3+2*x^2-1) lgdogf] A002447 18.5890 [-1/(3*x^3+2*x^2-1) ogf] A002447 22.3348 [-x*(4+9*x)/(-1+2*x^2+3*x^3) lgdogf] A002447 6.59609 [{a(n+3)-2*a(n+1)-3*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A002447 7.21689 [(143*f(x)-207)*(3*f(x)*x^3+2*f(x)*x^2-f(x)+1) ogf] A002448 13.4800 [-(-x-2)/(x^2-1) ogf_with_Euler_transform] A002448 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(1/4)*2^(3/4)/GAMMA(3/4) A002450 12.3697 [-4*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A002450 15.2045 [-(8*x-5)/(4*x^2-5*x+1) lgdogf] A002450 17.5620 [-1/8*(-1-5*x+(x+1)^(1/2)*(9*x+1)^(1/2))/x revogf] A002450 22.1156 [x/(4*x-1)/(x-1) ogf] A002450 28.8016 [-(-5+8*x)/(-1+4*x)/(-1+x) lgdogf] A002450 9.01005 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A002451 10.3342 [-(108*x^2-98*x+14)/(36*x^3-49*x^2+14*x-1) lgdogf] A002451 16.7803 [-2*(7-49*x+54*x^2)/(-1+x)/(-1+4*x)/(-1+9*x) lgdogf] A002451 18.3432 [-1/(x-1)/(4*x-1)/(9*x-1) ogf] A002451 6.21804 [{a(n+3)-14*a(n+2)+49*a(n+1)-36*a(n),a(0)=1,a(1)=14,a(2)=147} ogf] A002451 6.38026 [(12951991*f(x)-1146960)*(36*f(x)*x^3-49*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A002452 13.5349 [-9*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A002452 15.9234 [-(18*x-10)/(9*x^2-10*x+1) lgdogf] A002452 17.4497 [-1/18*(-10*x-1+(16*x+1)^(1/2)*(1+4*x)^(1/2))/x revogf] A002452 23.8851 [x/(9*x-1)/(x-1) ogf] A002452 29.7291 [-2*(-5+9*x)/(-1+9*x)/(-1+x) lgdogf] A002452 9.90356 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A002453 12.1616 [-(35-518*x+675*x^2)/(-1+x)/(25*x-1)/(-1+9*x) lgdogf] A002453 13.0048 [-1/(x-1)/(25*x-1)/(9*x-1) ogf] A002453 4.44065 [(96537181507*f(x)-1341511875)*(225*f(x)*x^3-259*f(x)*x^2+35*f(x)*x-f(x)+1) ogf] A002453 4.55167 [{a(n+3)-35*a(n+2)+259*a(n+1)-225*a(n),a(0)=1,a(1)=35,a(2)=966} ogf] A002453 7.38108 [-(675*x^2-518*x+35)/(225*x^3-259*x^2+35*x-1) lgdogf] A002454 5.06268 [{(4*n^2+16*n+16)*a(n+1)-a(n+2),a(0)=1,a(1)=4} ogf] A002456 5.38610 [{(-2*n^3-15*n^2-37*n-30)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=1} ogf] A002457 22.6203 [6/(-4*x+1) lgdogf] A002457 56.4388 [-6/(-1+4*x) lgdogf] A002457 6.03209 [{(-n-2)*a(n+2)+(10+4*n)*a(n+1),a(0)=1,a(1)=6} ogf] A002457 7.54012 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 ogf] A002458 10.9926 [-10+288*x+(1-64*x+768*x^2)*f(x)+(-64*x^2+512*x^3+2*x)*f(x)^2 lgdogf] A002458 5.28608 [{(-32*n^2-128*n-126)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=1,a(1)=10} ogf] A002466 7.34803 [-(2*x^9+2*x^6-2*x^5+7*x^4+4*x^3+2*x^2+x+1)/(2*x^10+15*x^5-1) ogf] A002467 5.42228 [{(n+2)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A002470 99.9999 Evaluated at exp(-Pi) 1/64*Pi^(7/2)/GAMMA(3/4)^14 A002474 4.48218 [{(4*n^2+20*n+24)*a(n+1)-a(n+2),a(0)=2,a(1)=16} ogf] A002477 3.65012 [(13579795031*f(x)-310414200)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+10*x+1) ogf] A002477 3.76600 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=1,a(1)=121,a(2)=12321} ogf] A002477 6.92919 [-(121-2220*x+20000*x^3-8100*x^2)/(-1+x)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A002477 7.65348 [-(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A002478 12.2378 [-(-3*x^2-4*x-1)/(-x^3-2*x^2-x+1) lgdogf] A002478 19.1029 [-1/(x^3+2*x^2+x-1) ogf] A002478 25.6411 [-(1+x)*(3*x+1)/(2*x^2-1+x+x^3) lgdogf] A002478 6.99302 [{-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A002478 7.60406 [-(2*f(x)-5)*(f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A002483 12.8897 [3*x^7/(x^8-1) ogf_with_Euler_transform] A002483 99.9999 Evaluated at exp(-Pi) 1/32/Pi^(3/4)*2^(15/16)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^(3/2)/(2^(1/2)*(2+2^(1/2))^(1/2))^(3/2) A002492 11.7477 [4*(x+1)*x/(x-1)^4 ogf] A002492 17.3545 [-(3*x+5)/(x^2-1) lgdogf] A002492 35.8348 [-(3*x+5)/(-1+x)/(1+x) lgdogf] A002492 36.1122 [[5-x] ogf_with_Euler_transform] A002492 5.69849 [-(536*f(x)+1793)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-4*x) ogf] A002492 5.69849 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=4,a(2)=20} ogf] A002501 11.6105 [-(19-122*x+840*x^3-53*x^2)/(5*x+1)/(-1+4*x)/(3*x-1)/(7*x-1) lgdogf] A002501 12.4499 [-(5*x+1)/(3*x-1)/(7*x-1)/(4*x-1) ogf] A002501 5.90843 [{a(n+3)-14*a(n+2)+61*a(n+1)-84*a(n),a(0)=1,a(1)=19,a(2)=205} ogf] A002501 6.11575 [(58056*f(x)-63721)*(84*f(x)*x^3-61*f(x)*x^2+14*f(x)*x-f(x)+5*x+1) ogf] A002501 7.74661 [-(-840*x^3+53*x^2+122*x-19)/(-420*x^4+221*x^3-9*x^2-9*x+1) lgdogf] A002502 4.93201 [(480*x^3+136*x^2-27*x-1)/(6*x-1)/(5*x-1)/(15*x-1)/(4*x-1)/(8*x-1) ogf] A002506 4.81900 [{(4*n^2+24*n+32)*a(n+1)-a(n+2),a(0)=8,a(1)=96} ogf] A002507 12.3251 [-(-2*x^4+8*x^3+12*x^2+8*x-2)/(-x^6+1) ogf_with_Euler_transform] A002508 12.9224 [-(2*x^4-8*x^3-12*x^2-8*x+2)/(-x^6+1) ogf_with_Euler_transform] A002512 12.5373 [-(4*x^3+2*x^2+2*x+2)/(x^4-1) ogf_with_Euler_transform] A002512 99.9999 Evaluated at exp(-Pi) 4*exp(-5/12*Pi)/Pi*2^(1/2)*GAMMA(3/4)^4 A002513 18.6584 [-(-2*x-1)/(-x^2+1) ogf_with_Euler_transform] A002513 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)/Pi^(1/2)*2^(7/8)*GAMMA(3/4)^2 A002521 2.17923 [(f(x)-1)^2*(-2184*x^3+f(x)-1) ogf] A002522 13.0856 [-(-2*x^2-2*x-2)/(-2*x^3+3*x^2-2*x+1) lgdogf] A002522 13.7292 [-(2*x^2-x+1)/(x-1)^3 ogf] A002522 26.5081 [-2*(1+x+x^2)/(-1+x)/(2*x^2-x+1) lgdogf] A002522 7.41132 [(76*f(x)-31)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A002522 7.47750 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A002523 6.12925 [-(2*x^4+7*x^3+17*x^2-3*x+1)/(x-1)^5 ogf] A002523 9.12385 [-2*(1+11*x+x^4+11*x^3+36*x^2)/(-1+x)/(2*x^4+7*x^3+17*x^2-3*x+1) lgdogf] A002524 14.3861 [-(1-5*x^4-4*x^3+4*x^5+6*x^2)/(-1+x)/(x^5-2*x^3-2*x+1) lgdogf] A002524 14.6477 [-(x-1)/(x^5-2*x^3-2*x+1) ogf] A002524 7.18820 [-(-4*x^5+5*x^4+4*x^3-6*x^2-1)/(-x^6+x^5+2*x^4-2*x^3+2*x^2-3*x+1) lgdogf] A002525 14.7385 [x/(x^5-2*x^3-2*x+1) ogf] A002525 18.6580 [-(-2-6*x^2+5*x^4)/(x^5-2*x^3-2*x+1) lgdogf] A002525 6.43916 [-(6*f(x)+1)*(f(x)*x^5-2*f(x)*x^3-2*f(x)*x+f(x)-x) ogf] A002525 9.75344 [-(-5*x^4+6*x^2+2)/(-x^5+2*x^3+2*x-1) lgdogf] A002527 4.77736 [x*(x+1)*(x^6+x^5-x^4-x^3-x^2+x-1)/(x-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A002528 5.91993 [-2*x^2/(x-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A002529 5.29755 [2*x^2*(x^4+x^3-x^2-x-1)/(x-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A002530 13.1004 [-x*(x^2-x-1)/(x^4-4*x^2+1) ogf] A002530 14.0781 [-(1+6*x-3*x^4-4*x^3+2*x^5+4*x^2)/(x^2-x-1)/(x^4-4*x^2+1) lgdogf] A002530 7.83456 [-(11*f(x)+2)*(f(x)*x^4-4*f(x)*x^2+x^3-x^2+f(x)-x) ogf] A002531 10.6317 [-(-1-4*x+7*x^4+4*x^3+x^6-4*x^5-7*x^2)/(x^3-2*x^2+x+1)/(x^4-4*x^2+1) lgdogf] A002531 11.1758 [(x^3-2*x^2+x+1)/(x^4-4*x^2+1) ogf] A002531 7.05272 [(66*f(x)+13)*(f(x)*x^4-4*f(x)*x^2-x^3+2*x^2+f(x)-x-1) ogf] A002532 11.0444 [-5*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A002532 13.2984 [-(-10*x-2)/(-5*x^2-2*x+1) lgdogf] A002532 17.6114 [-x/(5*x^2+2*x-1) ogf] A002532 17.8290 [1/10/x*(-2*x-1+(24*x^2+4*x+1)^(1/2)) revogf] A002532 26.7436 [-2*(1+5*x)/(5*x^2-1+2*x) lgdogf] A002532 8.04469 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A002533 13.9485 [(x-1)/(5*x^2+2*x-1) ogf] A002533 16.6164 [-(-1-10*x+5*x^2)/(-1+x)/(5*x^2-1+2*x) lgdogf] A002533 7.21472 [(54*f(x)-53)*(5*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A002533 7.65466 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A002533 9.65665 [-(5*x^2-10*x-1)/(5*x^3-3*x^2-3*x+1) lgdogf] A002534 11.3479 [-9*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A002534 13.6638 [-(-18*x-2)/(-9*x^2-2*x+1) lgdogf] A002534 18.0953 [-x/(9*x^2+2*x-1) ogf] A002534 18.3297 [1/18/x*(-2*x-1+(40*x^2+4*x+1)^(1/2)) revogf] A002534 27.4946 [-2*(1+9*x)/(9*x^2-1+2*x) lgdogf] A002534 8.26577 [{-a(n+2)+2*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A002535 14.4072 [(x-1)/(9*x^2+2*x-1) ogf] A002535 17.1786 [-(-1-18*x+9*x^2)/(-1+x)/(9*x^2-1+2*x) lgdogf] A002535 17.1786 [1/2/(9*x-1)*(-2*x-1+(40*x^2+1)^(1/2)) revogf] A002535 7.90637 [{-a(n+2)+2*a(n+1)+9*a(n),a(0)=1,a(1)=1} ogf] A002535 9.4061 [(130*f(x)-129)*(9*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A002535 9.97418 [-(9*x^2-18*x-1)/(9*x^3-7*x^2-3*x+1) lgdogf] A002536 10.8945 [-(1+10*x-27*x^4-36*x^3+54*x^5+8*x^2)/(3*x^2-x-1)/(9*x^4-8*x^2+1) lgdogf] A002536 11.5975 [-x*(3*x^2-x-1)/(9*x^4-8*x^2+1) ogf] A002536 7.21887 [(31*f(x)+9)*(9*f(x)*x^4-8*f(x)*x^2+3*x^3-x^2+f(x)-x) ogf] A002537 6.18838 [(434*f(x)+153)*(9*f(x)*x^4-8*f(x)*x^2-3*x^3+4*x^2+f(x)-x-1) ogf] A002537 8.15962 [-(-1-8*x+51*x^4+36*x^3+27*x^6-72*x^5-17*x^2)/(3*x^3-4*x^2+x+1)/(9*x^4-8*x^2+1) lgdogf] A002537 9.99660 [(3*x^3-4*x^2+x+1)/(9*x^4-8*x^2+1) ogf] A002538 4.26233 [{(-n^3-13*n^2-56*n-80)*a(n+1)+(2*n^2+17*n+34)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=8,a(2)=58} ogf] A002544 11.6301 [-(12*x+12)/(8*x^2+2*x-1) lgdogf] A002544 21.8971 [-12*(1+x)/(1+2*x)/(-1+4*x) lgdogf] A002544 3.77599 [{(-n-3)*a(n+3)+(16+2*n)*a(n+2)+(20+8*n)*a(n+1),a(0)=1,a(1)=12,a(2)=90} ogf] A002561 5.37355 [x*(31*x^4+56*x^3+36*x^2-4*x+1)/(x-1)^6 ogf] A002561 8.37810 [-2*(1+26*x+31*x^4+146*x^3+156*x^2)/(-1+x)/(31*x^4+56*x^3+36*x^2-4*x+1) lgdogf] A002570 12.5831 [-1/(x-1)/(x^2-3*x+1)/(x+1)^3 ogf] A002570 15.2993 [-(1+8*x+6*x^3-17*x^2)/(-1+x)/(1+x)/(x^2-3*x+1) lgdogf] A002570 9.82514 [-(6*x^3-17*x^2+8*x+1)/(x^4-3*x^3+3*x-1) lgdogf] A002571 4.486 [-(177*f(x)+73)*(f(x)*x^4-f(x)*x^3-4*f(x)*x^2+x^3-f(x)*x-x^2+f(x)-4*x-1) ogf] A002571 8.38942 [-(x^3-x^2-4*x-1)/(x^2-3*x+1)/(x+1)^2 ogf] A002571 9.73540 [-(5+5*x-3*x^4-4*x^3+x^5+10*x^2)/(1+x)/(x^2-3*x+1)/(x^3-x^2-4*x-1) lgdogf] A002578 7.62610 [-x^2*(x^5+x^4+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A002579 6.51944 [-(x^7-2*x^6+x^5+x^4+x^3+x^2-x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A002593 13.7215 [-2*(14+69*x+x^3+36*x^2)/(-1+x)/(1+x)/(x^2+22*x+1) lgdogf] A002593 3.71060 [{(-10*n^2-47*n-54)*a(n+1)+(20*n^2+80*n+144)*a(n+2)+(-10*n^2-33*n-26)*a(n+3),a(0)=0,a(1)=1,a(2)=28} ogf] A002593 7.34141 [-x*(x+1)*(x^2+22*x+1)/(x-1)^5 ogf] A002593 8.75322 [-(2*x^3+72*x^2+138*x+28)/(x^4+22*x^3-22*x-1) lgdogf] A002594 12.0451 [-2*(122+2393*x+358*x^4+3838*x^3+x^5+6728*x^2)/(-1+x)/(1+x)/(x^4+236*x^3+1446*x^2+236*x+1) lgdogf] A002594 8.29099 [-(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^7 ogf] A002594 8.48531 [-(-2*x^5-716*x^4-7676*x^3-13456*x^2-4786*x-244)/(-x^6-236*x^5-1445*x^4+1445*x^2+236*x+1) lgdogf] A002597 11.0822 [-(-14*x^3-15*x^2-6*x-1)/(-x^4-x^3+x+1) lgdogf] A002597 17.8818 [-(1+2*x)*(7*x^2+4*x+1)/(-1+x)/(1+x)/(x^2+x+1) lgdogf] A002597 28.1207 [1+2*x+3/2*x^2 egf]_with_Euler_transform] A002597 6.12001 [1/(x+1)^2/(x^2+x+1)^3/(x-1)^6 ogf] A002604 4.11970 [-(2*x^6+51*x^5+317*x^4+282*x^3+72*x^2-5*x+1)/(x-1)^7 ogf] A002604 5.54537 [-2*(1+57*x+603*x^4+1198*x^3+x^6+57*x^5+603*x^2)/(-1+x)/(2*x^6+51*x^5+317*x^4+282*x^3+72*x^2-5*x+1) lgdogf] A002605 15.8014 [-(-4*x-2)/(-2*x^2-2*x+1) lgdogf] A002605 20.4991 [-x/(2*x^2+2*x-1) ogf] A002605 21.3790 [1/4/x*(-2*x-1+(12*x^2+4*x+1)^(1/2)) revogf] A002605 31.1777 [-2*(1+2*x)/(2*x^2+2*x-1) lgdogf] A002605 9.36379 [(2*f(x)+1)*(2*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A002605 9.36380 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A002612 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^(9/2)/GAMMA(3/4)^18 A002613 99.9999 Evaluated at exp(-Pi) 9/256*exp(Pi)*Pi^(9/2)/GAMMA(3/4)^18 A002620 10.3266 [-f(x)*x^4+2*f(x)*x^3-2*f(x)*x-x^2+f(x) ogf] A002620 19.0102 [-(-4*x-2)/(-x^2+1) lgdogf] A002620 20.4012 [-x^2/(x+1)/(x-1)^3 ogf] A002620 36.0143 [-2*(1+2*x)/(-1+x)/(1+x) lgdogf] A002620 39.6604 [[2+x] ogf_with_Euler_transform] A002620 6.85616 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A002621 10.7877 [-1/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A002621 11.8447 [-(2+6*x+13*x^4+17*x^3+11*x^5+11*x^2)/(-1+x)/(1+x)/(1+x^2)/(x^2+x+1) lgdogf] A002621 24.3843 [x^3+x^2+x+2 ogf_with_Euler_transform] A002622 10.0651 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^6 ogf] A002622 20.7532 [x^4+x^3+x^2+x+2 ogf_with_Euler_transform] A002622 7.43407 [-(2+8*x+16*x^9+56*x^7+54*x^4+36*x^3+34*x^8+67*x^6+68*x^5+19*x^2)/(-1+x)/(1+x)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A002623 13.8470 [1/(x+1)/(x-1)^4 ogf] A002623 17.9382 [-(-5*x-3)/(-x^2+1) lgdogf] A002623 36.8514 [-(3+5*x)/(-1+x)/(1+x) lgdogf] A002623 37.3748 [[3+x] ogf_with_Euler_transform] A002623 5.89016 [{(n+3)*a(n+3)-3*a(n+2)+(-6-n)*a(n+1),a(0)=1,a(1)=3,a(2)=7} ogf] A002624 10.7168 [-1/(x+1)^2/(x-1)^5 ogf] A002624 17.7802 [-(-7*x-3)/(-x^2+1) lgdogf] A002624 36.5374 [-(3+7*x)/(-1+x)/(1+x) lgdogf] A002624 37.0207 [[3+2*x] ogf_with_Euler_transform] A002624 5.83828 [{(n+3)*a(n+3)-3*a(n+2)+(-8-n)*a(n+1),a(0)=1,a(1)=3,a(2)=8} ogf] A002625 12.3027 [-(-10*x^3-13*x^2-10*x-3)/(-x^4-x^3+x+1) lgdogf] A002625 20.1642 [-(1+2*x)*(5*x^2+4*x+3)/(x^2+x+1)/(-1+x)/(1+x) lgdogf] A002625 31.6347 [3+2*x+1/2*x^2 egf]_with_Euler_transform] A002625 9.41533 [1/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A002626 11.5776 [-(3+10*x+17*x^4+24*x^3+14*x^5+16*x^2)/(-1+x)/(1+x)/(1+x^2)/(x^2+x+1) lgdogf] A002626 24.1454 [x^3+x^2+2*x+3 ogf_with_Euler_transform] A002626 6.36612 [-1/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A002627 5.02004 [{(-2-n)*a(n+1)+(n+4)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A002633 19.0282 [-3+2*x-x^2+(-1+2*x-x^2)*f(x) lgdegf] A002633 9.18793 [-(-x^2+2*x-3)/(-x^2+2*x-1) lgdegf] A002655 6.02202 [-(-2*x^6-x^5-x^4-x^3-x^2-x-1)/(x^7-1) ogf_with_Euler_transform] A002656 6.94659 [-(-6*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x-3)/(x^7-1) ogf_with_Euler_transform] A002662 15.6887 [x^3/(2*x-1)/(x-1)^3 ogf] A002662 16.0155 [-(8*x-5)/(2*x^2-3*x+1) lgdogf] A002662 30.6088 [-(-5+8*x)/(-1+2*x)/(-1+x) lgdogf] A002662 5.09103 [{n*a(n+3)+(-2-3*n)*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A002662 7.76512 [-2*f(x)*x^4+7*f(x)*x^3-9*f(x)*x^2+x^3+5*f(x)*x-f(x) ogf] A002663 10.6512 [-x^4/(2*x-1)/(x-1)^4 ogf] A002663 12.8249 [-(10*x-6)/(2*x^2-3*x+1) lgdogf] A002663 24.1700 [-2*(5*x-3)/(-1+2*x)/(-1+x) lgdogf] A002663 3.87914 [{(1-n)*a(n+3)+3*n*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A002663 5.28084 [2*f(x)*x^5-9*f(x)*x^4+16*f(x)*x^3+x^4-14*f(x)*x^2+6*f(x)*x-f(x) ogf] A002664 12.6147 [-(12*x-7)/(2*x^2-3*x+1) lgdogf] A002664 23.9059 [-(-7+12*x)/(-1+2*x)/(-1+x) lgdogf] A002664 8.95823 [x^5/(2*x-1)/(x-1)^5 ogf] A002671 4.39829 [{(16*n^2+72*n+80)*a(n+1)-a(n+2),a(0)=1,a(1)=24} ogf] A002674 6.56497 [{(4*n^2+22*n+30)*a(n+1)-a(n+2),a(0)=1,a(1)=12} ogf] A002690 12.0411 [-(-4*x+4)/(-8*x^2+6*x-1) lgdegf] A002690 20.9867 [-4*(-1+x)/(-1+4*x)/(-1+2*x) lgdegf] A002690 23.6101 [(-2*x+(4*x^2+1)^(1/2))*x revegf] A002690 5.06996 [{(-4*n^2-18*n-18)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=4} ogf] A002690 6.02058 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-4*x^2+4*x-1 egf] A002691 12.9855 [-(-6*x+9)/(-4*x^2+5*x-1) lgdegf] A002691 23.5374 [-3*(2*x-3)/(-1+4*x)/(-1+x) lgdegf] A002691 3.62387 [{(-4*n^2-18*n-20)*a(n+1)+(-4*n^2-29*n-51)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=9,a(2)=120} ogf] A002694 12.0188 [-24+100*x+(4-36*x+80*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A002694 5.47762 [{(-4*n^2-30*n-56)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=1,a(1)=6} ogf] A002694 9.10469 [(-2/(-1+4*x)^(1/2)*(5*x-1)+2*I)/(-1+4*x)^(1/2)/x lgdogf] A002695 10.8669 [9-3*x+(287-90*x-x^2)*f(x)+(-32+192*x-32*x^2)*f(x)^2 lgdogf] A002695 11.7957 [-(3*x-9)/(x^2-6*x+1) lgdogf] A002695 3.72495 [{(-n-3)*a(n+3)+(21+6*n)*a(n+2)+(-4-n)*a(n+1),a(0)=1,a(1)=9,a(2)=66} ogf] A002696 11.1982 [-48+196*x+(6-52*x+112*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A002696 5.15839 [{(-4*n^2-38*n-90)*a(n+1)+(n^2+10*n+16)*a(n+2),a(0)=1,a(1)=8} ogf] A002696 8.52853 [(-(14*x-3)/(-1+4*x)^(1/2)+3*I)/(-1+4*x)^(1/2)/x lgdogf] A002697 16.5461 [x/(4*x-1)^2 ogf] A002697 20.0918 [8/(-4*x+1) lgdogf] A002697 23.0540 [4*x/(1+(16*x+1)^(1/2))^2 revogf] A002697 50.2997 [-8/(-1+4*x) lgdogf] A002697 6.86060 [{a(n+2)-8*a(n+1)+16*a(n),a(0)=0,a(1)=1} ogf] A002697 9.37616 [-16*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A002698 13.0528 [-2*(-9-16*x+16*x^2)/(-1+4*x)/(8*x^2-6*x-1) lgdogf] A002698 4.74747 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=18,a(2)=160} ogf] A002698 6.14142 [(9312*f(x)-21467)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-8*x^2-f(x)+6*x+1) ogf] A002698 8.11887 [-(-32*x^2+32*x+18)/(-32*x^3+32*x^2-2*x-1) lgdogf] A002698 8.75316 [(8*x^2-6*x-1)/(4*x-1)^3 ogf] A002699 10.7129 [-16*f(x)*x^2+8*f(x)*x-f(x)+2*x ogf] A002699 16.9151 [2*x/(4*x-1)^2 ogf] A002699 22.9562 [8/(-4*x+1) lgdogf] A002699 27.5378 [2*x/(1+(1+8*x)^(1/2))^2 revogf] A002699 57.5790 [-8/(-1+4*x) lgdogf] A002699 7.83872 [{a(n+2)-8*a(n+1)+16*a(n),a(0)=0,a(1)=2} ogf] A002700 12.4194 [-(4*x+3)/(4*x-1)^3 ogf] A002700 13.6369 [-(32*x+40)/(16*x^2+8*x-3) lgdogf] A002700 18.7572 [-8*(5+4*x)/(4*x+3)/(-1+4*x) lgdogf] A002700 5.89393 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=3,a(1)=40,a(2)=336} ogf] A002700 6.15473 [(4528*f(x)-14475)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-f(x)+4*x+3) ogf] A002714 4.32955 [-(f(x)+1)*(f(x)*x^4-4*f(x)*x^3+2*x^4-2*f(x)*x^2-5*x^3+4*f(x)*x-7*x^2-f(x)+3*x+1) ogf] A002714 7.18263 [-(19-46*x+15*x^4+76*x^3+3*x^6-18*x^5-21*x^2)/(3*x^3-9*x^2-9*x+7)/(x^4-4*x^3-2*x^2+4*x-1) lgdogf] A002714 7.58946 [-(2*x^4-5*x^3-7*x^2+3*x+1)/(x^4-4*x^3-2*x^2+4*x-1) ogf] A002717 11.0550 [x*(2*x+1)/(x+1)/(x-1)^4 ogf] A002717 12.4156 [-(8*x^2+11*x+5)/(2*x^3+x^2-2*x-1) lgdogf] A002717 22.0998 [-(5+11*x+8*x^2)/(-1+x)/(1+2*x)/(1+x) lgdogf] A002717 4.09651 [{(-3-n)*a(n+4)+(1-2*n)*a(n+3)+(12+n)*a(n+2)+(8+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=13} ogf] A002720 16.2280 [-(-x+2)/(-x^2+2*x-1) lgdegf] A002720 16.3102 [-10+5*x+(1-8*x+5*x^2)*f(x)+(2-4*x+2*x^2)*f(x)^2 lgdegf] A002720 5.48551 [{(-n^2-4*n-4)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A002721 4.19293 [-(x^8+3*x^7+60*x^6+7*x^5+168*x^4+7*x^3+60*x^2+3*x+1)/(x-1)^9 ogf] A002727 4.62198 [(x^6+x^4+2*x^3+x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^8 ogf] A002727 6.65405 [-2*(2+7*x+4*x^9+11*x^7+24*x^4+22*x^3+6*x^8+23*x^6+30*x^5+15*x^2)/(-1+x)/(1+x)/(x^2+x+1)/(x^6+x^4+2*x^3+x^2+1) lgdogf] A002736 13.5453 [-(12*x+12)/(8*x^2+2*x-1) lgdogf] A002736 25.6869 [-12*(1+x)/(1+2*x)/(-1+4*x) lgdogf] A002736 4.45570 [{(n+2)*a(n+3)+(-14-2*n)*a(n+2)+(-12-8*n)*a(n+1),a(0)=0,a(1)=2,a(2)=24} ogf] A002738 14.3036 [-(60*x+20)/(24*x^2-2*x-1) lgdogf] A002738 4.67619 [{(-n-3)*a(n+3)+(16-2*n)*a(n+2)+(84+24*n)*a(n+1),a(0)=3,a(1)=60,a(2)=630} ogf] A002740 5.13119 [-64*f(x)^2*x^3+48*f(x)^2*x^2+64*f(x)*x^3-9*x^4-12*f(x)^2*x-48*f(x)*x^2+2*x^3+f(x)^2+12*f(x)*x-f(x) ogf] A002740 6.48358 [{(-4*n^2+2*n)*a(n)+(n^2-n-2)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A002740 8.71231 [(-3/(-1+4*x)^(3/2)*(30*x^2-11*x+1)+3*I)/(9*x-2)/x*(-1+4*x)^(1/2) lgdogf] A002741 5.02366 [{(-n-2)*a(n+1)+(-2*n-4)*a(n+2)+(-n-1)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=-1,a(3)=2} ogf] A002747 16.1944 [-(-2+7*x+2*x^4+x^5)/(-1+x)/(1+x)/(x^3+x^2-x+1) lgdegf] A002747 9.04129 [-(-x^5-2*x^4-7*x+2)/(-x^5-x^4+2*x^3-x+1) lgdegf] A002754 12.5960 [-(27*x-11)/(9*x^2-10*x+1) lgdogf] A002754 13.6680 [-4*x^2/(9*x-1)/(x-1)^2 ogf] A002754 23.5668 [-(-11+27*x)/(-1+9*x)/(-1+x) lgdogf] A002754 5.73566 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A002754 7.73969 [9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x+4*x^2-f(x) ogf] A002775 13.6114 [-(x+1)*x/(x-1)^3 egf] A002775 17.6330 [-(2*x+4)/(x^2-1) lgdegf] A002775 36.5037 [-2*(x+2)/(-1+x)/(1+x) lgdegf] A002775 4.67380 [{(-n^2-4*n-4)*a(n+1)+(-n^2-6*n-13)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A002775 6.86594 [-(92*f(x)-63)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+x) egf] A002776 12.4779 [-(5+9*x+x^3+9*x^2)/(-1+x)/(x^3+3*x^2+x+1) lgdegf] A002776 3.16530 [{(-160*n^3-1071*n^2-2364*n-1724)*a(n+1)+(19*n^3+278*n^2+231*n-953)*a(n+2)+(-19*n^2-4*n+159)*a(n+3),a(0)=1,a(1)=5,a(2)=34} ogf] A002776 4.62789 [(35694*f(x)+47845)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-x-1) egf] A002776 8.71486 [(x^3+3*x^2+x+1)/(x-1)^4 egf] A002776 8.82953 [-(-x^3-9*x^2-9*x-5)/(-x^4-2*x^3+2*x^2+1) lgdegf] A002783 11.2707 [-(3-14*x+24*x^4-36*x^3+27*x^2)/(-1+x)/(3*x-1)/(-1+2*x)/(4*x^2-3*x+1) lgdogf] A002783 12.5764 [-(4*x^2-3*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A002783 6.83978 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A002783 6.83979 [(38*f(x)-13)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A002783 7.49745 [-(24*x^4-36*x^3+27*x^2-14*x+3)/(24*x^5-62*x^4+63*x^3-33*x^2+9*x-1) lgdogf] A002789 10.8272 [-(x^2+2*x+2)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A002793 5.37096 [{(-n^2-4*n-4)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A002797 6.41691 [-(5*x^6+7*x^5+2*x^4+5*x^3-x+3)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A002798 10.4478 [3*(2*x^2+9*x+6)/(x+1)/(x-1)^2 ogf] A002798 12.8633 [-(15+31*x+2*x^3+20*x^2)/(-1+x)/(1+x)/(2*x^2+9*x+6) lgdogf] A002798 5.26568 [-(10081*f(x)-18435)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-27*x-18) ogf] A002798 5.72357 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=18,a(1)=45,a(2)=69} ogf] A002798 7.93024 [-(2*x^3+20*x^2+31*x+15)/(2*x^4+9*x^3+4*x^2-9*x-6) lgdogf] A002799 15.4426 [-(-x^3-x^2-x-1)/(-x+1) ogf_with_Euler_transform] A002801 22.3404 [-(-1+x)/(-2*x+1) lgdegf] A002801 51.8278 [-1+x+(1-2*x)*f(x) lgdegf] A002801 6.66877 [{(n+2)*a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A002802 24.1108 [10/(-4*x+1) lgdogf] A002802 42.9170 [-10+(1-4*x)*f(x) lgdogf] A002802 6.59636 [{(-n-2)*a(n+2)+(14+4*n)*a(n+1),a(0)=1,a(1)=10} ogf] A002803 11.2040 [-(10*x+15)/(4*x^2+3*x-1) lgdogf] A002803 21.9287 [-5*(2*x+3)/(1+x)/(-1+4*x) lgdogf] A002803 3.61421 [{(-n-3)*a(n+3)+(21+3*n)*a(n+2)+(14+4*n)*a(n+1),a(0)=1,a(1)=15,a(2)=140} ogf] A002807 3.42475 [{(-n^2-5*n-6)*a(n+1)+(2*n^2+10*n+12)*a(n+2)+(-n^2-6*n-7)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A002810 4.68748 [-(400*x^12-50*x^11-350*x^10-600*x^9-50*x^8-16*x^7-4*x^6-30*x^5-50*x^4-16*x^3-4*x^2-6*x-1)/(x-1)/(10*x^4-1)/(100*x^8+10*x^4+1) ogf] A002817 15.4649 [-(-3*x^2-6*x-6)/(-x^3+1) lgdogf] A002817 23.5857 [-3*(2+2*x+x^2)/(-1+x)/(x^2+x+1) lgdogf] A002817 31.9462 [[-x^2+6] ogf_with_Euler_transform] A002817 4.90351 [{(-3-n)*a(n+4)+6*a(n+3)+6*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=21} ogf] A002817 9.68887 [-x*(x^2+x+1)/(x-1)^5 ogf] A002834 2.19722 [-(f(x)-48)^3 ogf] A002865 27.7888 [-x/(x-1) ogf_with_Euler_transform] A002866 16.7787 [-2*f(x)*x+f(x)+x-1 egf] A002866 20.4065 [(x-1)/(2*x-1) egf] A002866 20.9734 [-1/(-2*x^2+3*x-1) lgdegf] A002866 29.2437 [1/(-1+2*x)/(-1+x) lgdegf] A002866 5.31719 [{(2*n^2+2*n)*a(n)+(-2*n^2-9*n-8)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A002867 12.4155 [-(-8*x-2)/(-4*x^2+1) lgdegf] A002867 19.8044 [-2*(1+4*x)/(-1+2*x)/(1+2*x) lgdegf] A002867 25.4628 [x*(1+x)/(1+2*x+2*x^2) revegf] A002867 3.82014 [-(2*x+1)*(x^8+10*x^6-45*x^4+35*x^2-7)/(231*x^8-462*x^6+297*x^4-77*x^2+7) egf] A002867 4.23473 [{(4*n^2+20*n+24)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=12} ogf] A002867 6.58169 [16*f(x)^2*x^4-16*f(x)^2*x^3+4*f(x)^2*x-f(x)^2+1 egf] A002872 17.3871 [exp(2*x)+exp(x) lgdegf] A002872 35.9488 [exp(x)+exp(2*x) lgdegf] A002874 17.0493 [exp(x)+exp(3*x) lgdegf] A002874 34.7444 [exp(x)+exp(3*x) lgdegf] A002878 12.5419 [-(x^2+2*x-4)/(x^3-2*x^2-2*x+1) lgdogf] A002878 17.8374 [(x+1)/(x^2-3*x+1) ogf] A002878 19.2458 [-1/2*(-1-3*x+(1+10*x+5*x^2)^(1/2))/(-1+x) revogf] A002878 25.4541 [-(-4+2*x+x^2)/(1+x)/(x^2-3*x+1) lgdogf] A002878 9.44332 [(5*f(x)+3)*(f(x)*x^2-3*f(x)*x+f(x)-x-1) ogf] A002878 9.78882 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4} ogf] A002889 14.2172 [-2*(-5-x+4*x^3+5*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A002889 4.56134 [-(x+1)^3/(x-1)^3/(x^2+x-1)^4 ogf] A002889 7.78766 [-(8*x^3+10*x^2-2*x-10)/(x^4+x^3-2*x^2-x+1) lgdogf] A002893 3.51811 [{(9*n^2+36*n+36)*a(n+1)+(-10*n^2-50*n-63)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=3,a(2)=15} ogf] A002894 5.72355 [{(-16*n^2-48*n-36)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A002895 3.17687 [{(64*n^3+384*n^2+768*n+512)*a(n+1)+(-20*n^3-150*n^2-378*n-320)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=4,a(2)=28} ogf] A002897 3.53551 [{(64*n^3+288*n^2+432*n+216)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=8} ogf] A002901 6.26768 [x*(7*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x-1)^4 ogf] A002901 8.29582 [-(3*x^2+2*x+1)*(7*x^3+9*x^2+12*x+8)/(-1+x)/(x^2+x+1)/(7*x^3+5*x^2+5*x+1) lgdogf] A002928 18.8108 [4*x/(-1+x)/(1+x)/(1-6*x+x^2) lgdogf] A002928 9.95812 [-4*x/(-x^4+6*x^3-6*x+1) lgdogf] A002933 3.35014 [(3*f(x)*x-f(x)+3*x+1)^3 ogf] A002939 14.3199 [-2*x*(3*x+1)/(x-1)^3 ogf] A002939 17.0048 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A002939 34.9861 [-6*(1+x)/(3*x+1)/(-1+x) lgdogf] A002939 7.03648 [-(536*f(x)-1365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+2*x) ogf] A002939 7.28779 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=12} ogf] A002940 10.0456 [-(x+1)/(x-1)/(x^2+x-1)^2 ogf] A002940 15.4383 [-2*(-2-x+2*x^3+2*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A002940 8.66435 [-(-4*x^3-4*x^2+2*x+4)/(-x^4-x^3+2*x^2+x-1) lgdogf] A002941 15.1529 [-(-7-2*x+6*x^3+7*x^2)/(-1+x)/(1+x)/(x^2+x-1) lgdogf] A002941 6.66858 [-(x+1)^2/(x-1)^2/(x^2+x-1)^3 ogf] A002941 8.50244 [-(-6*x^3-7*x^2+2*x+7)/(-x^4-x^3+2*x^2+x-1) lgdogf] A002943 10.7851 [-2*x*(x+3)/(x-1)^3 ogf] A002943 12.5460 [-(2*x+10)/(x^2+2*x-3) lgdogf] A002943 28.7543 [-2*(x+5)/(x+3)/(-1+x) lgdogf] A002943 5.48887 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=20} ogf] A002943 7.56958 [(984*f(x)-3367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+6*x) ogf] A002965 12.9899 [x*(x^2-x-1)/(x^4+2*x^2-1) ogf] A002965 13.7048 [-(-1-2*x-3*x^4-4*x^3+2*x^5-2*x^2)/(x^2-x-1)/(x^4+2*x^2-1) lgdogf] A002965 8.52028 [-f(x)*(f(x)*x^4+2*f(x)*x^2-x^3+x^2-f(x)+x) ogf] A002999 7.12027 [(8*x^5-14*x^4+18*x^3-15*x^2+6*x-1)/(x-1)^2/(2*x-1)^3 ogf] A002999 8.50300 [-2*(1+x)*(14*x^4-26*x^3+18*x^2-6*x+1)/(-1+x)/(-1+2*x)/(8*x^5-14*x^4+18*x^3-15*x^2+6*x-1) lgdogf] A003013 5.32867 [(8*x^5-22*x^4+30*x^3-21*x^2+7*x-1)/(x-1)^2/(2*x-1)^3 ogf] A003013 6.47832 [-(1+x)*(12*x^4-20*x^3+12*x^2-4*x+1)/(-1+x)/(-1+2*x)/(8*x^5-22*x^4+30*x^3-21*x^2+7*x-1) lgdogf] A003058 5.06637 [-(-x^2-x-1)/(x^2+1) ogf_with_Euler_transform] A003063 11.8846 [-(-24*x^2+12*x-1)/(-24*x^3+26*x^2-9*x+1) lgdogf] A003063 17.9589 [(4*x-1)/(3*x-1)/(2*x-1) ogf] A003063 19.0814 [-(1-12*x+24*x^2)/(3*x-1)/(-1+2*x)/(-1+4*x) lgdogf] A003063 20.5492 [1/4*(-1+5*x+(1+6*x+x^2)^(1/2))/(-2+3*x) revogf] A003063 9.08035 [-(f(x)+1)*(6*f(x)*x^2-5*f(x)*x+f(x)-4*x+1) ogf] A003063 9.85551 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=-1,a(1)=-1} ogf] A003073 4.85873 [(2*x^20+2*x^19-x^17+2*x^14+x^12-2*x^11-x^10+x^8+x^7+x^6+x^4+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(2*x^3-1) ogf] A003079 12.5715 [-(10*x^4+20*x^3+7*x^2+14*x+5)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A003079 7.41233 [-(14+14*x+40*x^7+25*x^4+40*x^3+10*x^8+21*x^6+56*x^5+60*x^2)/(-1+x)/(10*x^4+20*x^3+7*x^2+14*x+5)/(x^4+x^3+x^2+x+1) lgdogf] A003082 5.49233 [(x^8-x^7+x^6+x^4+x^2-x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A003105 19.5188 [-(-x^4-1)/(-x^6+1) ogf_with_Euler_transform] A003106 20.0712 [-(x^2+x)/(x^5-1) ogf_with_Euler_transform] A003114 19.6528 [-(-x^3-1)/(-x^5+1) ogf_with_Euler_transform] A003120 5.02331 [-(-2*x+2*x^11+12*x^9-12*x^7-7*x^4+22*x^3+x^10-4*x^8+9*x^6-10*x^5-8*x^2+1)/(-1+x)/(x^2+2*x-1)/(x^5+3*x^3-2*x^2-2*x+1)/(x^4+2*x^2-1) lgdogf] A003143 5.78449 [-(-2*x+2*x^11+6*x^9+2*x^7-2*x^4+2*x^3-4*x^10+2*x^8+5*x^6-4*x^5-1)/(-1+x)/(x^2+x+1)/(x^2-x+1)/(2*x^2-1)/(x^7-x^6+x^5-x^4+x^3+1) lgdogf] A003143 6.14707 [(x^7-x^6+x^5-x^4+x^3+1)/(x-1)/(2*x^2-1)/(x^2+x+1)/(x^2-x+1) ogf] A003148 12.6737 [-(1+6*x)/(-1+2*x)/(1+2*x) lgdegf] A003148 15.4552 [-(-6*x-1)/(-4*x^2+1) lgdegf] A003148 5.31274 [{(-4*n^2-18*n-20)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=7} ogf] A003148 8.39545 [8*f(x)^2*x^3-4*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 egf] A003149 4.21549 [{(n^2+6*n+9)*a(n+1)+(-3*n-10)*a(n+2)+2*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A003154 11.5115 [-(x^2+22*x+13)/(x^3+9*x^2-9*x-1) lgdogf] A003154 12.2542 [-(x^2+10*x+1)/(x-1)^3 ogf] A003154 21.9035 [-(13+22*x+x^2)/(-1+x)/(x^2+10*x+1) lgdogf] A003154 6.66458 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=37} ogf] A003154 7.32436 [(59*f(x)-374)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10*x+1) ogf] A003168 19.6319 [1/2*(1+x+(1-6*x+x^2)^(1/2))*x revogf] A003168 9.856 [-1+f(x)+f(x)^2*x-2*f(x)^3*x ogf] A003169 11.8853 [-(-x^3+2*x^2-x)/(x+1) revogf] A003169 37.8662 [x*(-1+x)^2/(x+1) revogf] A003169 8.02647 [f(x)^3*x^2-2*f(x)^2*x-f(x)*x+f(x)-1 ogf] A003185 15.1001 [-3*(-15-18*x+x^2)/(-1+x)/(3*x^2-30*x-5) lgdogf] A003185 5.15391 [(176*f(x)-4039)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+30*x+5) ogf] A003185 5.24355 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=45,a(2)=117} ogf] A003185 8.86776 [-(-3*x^2+54*x+45)/(-3*x^3+33*x^2-25*x-5) lgdogf] A003185 9.72594 [(3*x^2-30*x-5)/(x-1)^3 ogf] A003208 3.82394 [(3*f(x)*x-f(x)+3*x+1)^3 ogf] A003212 4.14497 [(3*f(x)*x-f(x)+x+1)^3 ogf] A003215 12.5574 [-(x^2+10*x+7)/(x^3+3*x^2-3*x-1) lgdogf] A003215 13.3809 [-(x^2+4*x+1)/(x-1)^3 ogf] A003215 25.0260 [-(7+10*x+x^2)/(-1+x)/(x^2+4*x+1) lgdogf] A003215 7.22329 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=19} ogf] A003215 7.43408 [(29*f(x)-80)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+1) ogf] A003221 10.4195 [4*x^3-8*x^2+(8-8*x+7*x^3-10*x^2)*f(x)+(-3*x^2+6-6*x+3*x^3)*f(x)^2 lgdegf] A003221 10.6803 [-(-x^3+2*x^2)/(-x^3+x^2+2*x-2) lgdegf] A003222 3.45023 [(32592526792*f(x)+97665627909)*(8*f(x)*x^4-25*f(x)*x^3+27*f(x)*x^2-14*x^3-11*f(x)*x-52*x^2+f(x)+12*x-2) ogf] A003222 6.77576 [2*(7*x^3+26*x^2-6*x+1)/(8*x-1)/(x-1)^3 ogf] A003222 8.09721 [-(-5-8*x+56*x^4+528*x^3+17*x^2)/(-1+x)/(-1+8*x)/(7*x^3+26*x^2-6*x+1) lgdogf] A003229 14.6998 [-(2*x^2+1)/(2*x^3+x-1) ogf] A003229 16.8084 [-(1+4*x+4*x^4+4*x^2)/(2*x^2+1)/(2*x^3+x-1) lgdogf] A003229 7.66264 [{a(n+3)-a(n+2)-2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A003229 8.09312 [(f(x)-1)*(2*f(x)*x^3+f(x)*x+2*x^2-f(x)+1) ogf] A003229 9.00360 [-(-4*x^4-4*x^2-4*x-1)/(-4*x^5-4*x^3+2*x^2-x+1) lgdogf] A003230 10.9147 [-2*(2-5*x+10*x^4-12*x^3+6*x^2)/(-1+x)/(-1+2*x)/(2*x^3+x-1) lgdogf] A003230 12.1985 [-1/(2*x-1)/(x-1)/(2*x^3+x-1) ogf] A003232 11.3355 [(-7+4*x+2*x^3-3*x^2)/(-1+x)/(-1+2*x)/(x^2-4*x-1) lgdogf] A003232 4.80289 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=7,a(2)=19,a(3)=49} ogf] A003232 5.01923 [-(3421*f(x)+4283)*(4*f(x)*x^2-x^3-4*f(x)*x+5*x^2+f(x)-3*x-1) ogf] A003232 6.79433 [-(-2*x^3+3*x^2-4*x+7)/(2*x^4-11*x^3+11*x^2-x-1) lgdogf] A003232 9.13336 [(x-1)*(x^2-4*x-1)/(2*x-1)^2 ogf] A003245 6.07758 [(-240+1008*x+8*x^7-475*x^4+1056*x^3-35*x^6+144*x^5-1440*x^2)/(504*x^2+24-240*x+x^8+264*x^4-480*x^3+24*x^6-95*x^5-5*x^7) lgdogf] A003261 10.7067 [(4*x^2-2*x-1)/(x-1)/(2*x-1)^2 ogf] A003261 12.5448 [-(7-10*x+8*x^3-4*x^2)/(-1+x)/(-1+2*x)/(4*x^2-2*x-1) lgdogf] A003261 5.72905 [(59*f(x)-609)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-4*x^2-f(x)+2*x+1) ogf] A003261 5.77974 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=7,a(2)=23} ogf] A003261 7.96477 [-(-8*x^3+4*x^2+10*x-7)/(-8*x^4+16*x^3-8*x^2-x+1) lgdogf] A003264 4.57325 [x*(4*x^9-23*x^8+90*x^7-240*x^6+386*x^5-240*x^4-240*x^3+480*x^2-240*x+24)/(x-1)/(x+1) ogf] A003269 14.7757 [f(x)*x^4+f(x)*x-f(x)+x ogf] A003269 16.7648 [-(4*x^3+1)/(x^4+x-1) lgdogf] A003269 17.5529 [-a(n+4)+a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdogf] A003269 23.5613 [-x/(x^4+x-1) ogf] A003272 4.53861 [x*(4*x^9-24*x^8+90*x^7-240*x^6+385*x^5-240*x^4-240*x^3+480*x^2-240*x+24)/(x-1)/(x+1) ogf] A003274 8.03519 [-(x^6-x^5+x^3+2*x^2-2*x+1)/(x^3+x-1)/(x-1)^2 ogf] A003274 8.95874 [-2*(x^2-x+1)*(x^5-2*x^4+5*x^3+x^2-2*x-1)/(-1+x)/(x^3+x-1)/(x^5-2*x^3+3*x^2-x+1) lgdogf] A003293 20.8922 [1/(x^3-x^2-x+1) ogf_with_Euler_transform] A003402 20.3134 [x^4+x^3+2*x^2+x+1 ogf_with_Euler_transform] A003402 4.92454 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A003408 4.71899 [{(27*n^3+297*n^2+1086*n+1320)*a(n+1)+(-4*n^3-46*n^2-166*n-180)*a(n+2),a(0)=1,a(1)=9} ogf] A003408 6.56117 [1296-9261*x+(-144+2709*x-11907*x^2)*f(x)+(-96*x-5103*x^3+1404*x^2)*f(x)^2+(-16*x^2+216*x^3-729*x^4)*f(x)^3 lgdogf] A003409 14.6307 [-(x^2+3*x)/(-4*x^2-12*x-9) revogf] A003409 44.8468 [x*(3+x)/(3+2*x)^2 revogf] A003409 7.38503 [{(-4*n-10)*a(n+1)+(n+3)*a(n+2),a(0)=3,a(1)=9} ogf] A003409 9.94137 [-4*f(x)^2*x^2+f(x)^2*x-12*f(x)*x+3*f(x)-9 ogf] A003410 13.2350 [-(x+1)*(x^2+1)/(x^3+x-1) ogf] A003410 18.8663 [-(2+2*x+x^4+5*x^2)/(1+x)/(1+x^2)/(x^3+x-1) lgdogf] A003410 7.08190 [{a(n+4)-a(n+3)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A003410 7.99343 [(4*f(x)+5)*(f(x)*x^3+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A003410 9.61115 [-(-x^4-5*x^2-2*x-2)/(-x^6-x^5-2*x^4-x^3+1) lgdogf] A003411 11.5719 [-(x^4+x^3+x^2+x+1)/(x^4+x-1) ogf] A003411 13.5056 [-(2+2*x+6*x^3+x^6+2*x^5+2*x^2)/(x^4+x^3+x^2+x+1)/(x^4+x-1) lgdogf] A003411 7.32536 [(f(x)-3)*(f(x)*x^4+x^4+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A003412 6.39671 [-(3*x^11+2*x^10+2*x^9+x^8+x^7+2*x^6+2*x^5+2*x^4+x^3+x^2+x+1)/(x^6+x-1) ogf] A003413 8.09081 [(-2-2*x-2*x^9+2*x^7-7*x^4-2*x^3+x^12-2*x^10-3*x^8-7*x^6-4*x^5-2*x^2)/(x^2+x+1)/(x^5+x^3+1)/(x^6+x-1) lgdogf] A003413 8.86630 [-(x^2+x+1)*(x^5+x^3+1)/(x^6+x-1) ogf] A003417 13.0479 [(x^6-x^4-3*x^3+2*x^2+x+2)/(x^2+x+1)^2/(x-1)^2 ogf] A003417 13.1455 [(-1-4*x-8*x^4-x^3+2*x^6+3*x^5-3*x^2)/(-1+x)/(x^2+x+1)/(x^6-x^4-3*x^3+2*x^2+x+2) lgdogf] A003422 5.04508 [{(-2-n)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A003440 5.0899 [f(x)^2*x^4-3*f(x)^2*x^3-f(x)*x^4+f(x)^2*x^2+3*f(x)*x^3-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A003451 10.3071 [-(-4*x^3+8*x^2+8*x+4)/(-x^4+2*x^3+2*x^2-2*x-1) lgdogf] A003451 17.5887 [-4*(-1-2*x+x^3-2*x^2)/(-1+x)/(1+x)/(x^2-2*x-1) lgdogf] A003451 9.70078 [-(x^2-2*x-1)/(x+1)^2/(x-1)^4 ogf] A003452 7.76145 [-(3*x^4+6*x^3-10*x^2-16*x-7)/(x^5+x^4-4*x^3-3*x^2+3*x+2) lgdogf] A003452 8.17873 [-(x+2)*(x^2-x-1)/(x+1)^2/(x-1)^4 ogf] A003453 15.0448 [-(-3-6*x+4*x^3-3*x^2)/(-1+x)/(1+x)/(x^2-x-1) lgdogf] A003453 7.96489 [-(x^2-x-1)/(x+1)^2/(x-1)^4 ogf] A003453 8.46270 [-(-4*x^3+3*x^2+6*x+3)/(-x^4+x^3+2*x^2-x-1) lgdogf] A003461 13.6014 [-(3*x^2+5*x-4)/(2*x-1)/(x-1) ogf] A003461 15.3698 [-(7-22*x+19*x^2)/(-1+x)/(-1+2*x)/(3*x^2+5*x-4) lgdogf] A003461 6.99878 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=4,a(1)=7,a(2)=10} ogf] A003461 7.66886 [(f(x)-53)*(2*f(x)*x^2-3*f(x)*x+3*x^2+f(x)+5*x-4) ogf] A003461 9.48518 [-(19*x^2-22*x+7)/(6*x^4+x^3-20*x^2+17*x-4) lgdogf] A003462 11.3399 [-3*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A003462 13.9387 [-(6*x-4)/(3*x^2-4*x+1) lgdogf] A003462 18.8334 [-1/6*(-1-4*x+(1+8*x+4*x^2)^(1/2))/x revogf] A003462 20.2744 [x/(x-1)/(3*x-1) ogf] A003462 25.3526 [-2*(-2+3*x)/(3*x-1)/(-1+x) lgdogf] A003462 8.25995 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A003463 11.6888 [-5*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A003463 14.0742 [-(10*x-6)/(5*x^2-6*x+1) lgdogf] A003463 17.8974 [-1/10*(-6*x-1+(16*x^2+12*x+1)^(1/2))/x revogf] A003463 20.8981 [x/(5*x-1)/(x-1) ogf] A003463 27.2041 [-2*(5*x-3)/(5*x-1)/(-1+x) lgdogf] A003463 8.51404 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A003464 10.4781 [-6*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A003464 12.6165 [-(12*x-7)/(6*x^2-7*x+1) lgdogf] A003464 16.0246 [-1/12*(-1-7*x+(1+14*x+25*x^2)^(1/2))/x revogf] A003464 18.7336 [x/(6*x-1)/(x-1) ogf] A003464 24.3574 [-(-7+12*x)/(6*x-1)/(-1+x) lgdogf] A003464 7.63220 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A003467 3.69938 [(256*x^8-1280*x^7+2656*x^6-2960*x^5+2690*x^4-1512*x^3+460*x^2-72*x+5)/(4*x-1)^4/(x-1)^4 ogf] A003467 4.02014 [{(-4*n^2-36*n-80)*a(n)+(5*n^2+30*n+25)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=5,a(1)=28,a(2)=190} ogf] A003468 3.51789 [(269689588019489*f(x)+208054514304000)*(840*f(x)*x^4-638*f(x)*x^3+179*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A003468 8.17433 [-2*(-11+179*x+1680*x^3-957*x^2)/(6*x-1)/(-1+4*x)/(7*x-1)/(5*x-1) lgdogf] A003468 9.54854 [1/(6*x-1)/(4*x-1)/(7*x-1)/(5*x-1) ogf] A003469 15.7034 [-(6-16*x+6*x^3+7*x^2)/(-1+x)/(-1+2*x)/(x^2+x-1) lgdogf] A003469 9.27981 [-(6*x^3+7*x^2-16*x+6)/(2*x^4-x^3-4*x^2+4*x-1) lgdogf] A003469 9.39581 [(x^2+x-1)/(2*x-1)^2/(x-1)^3 ogf] A003472 10.6300 [-1/(2*x-1)^5 ogf] A003472 21.2601 [10/(-2*x+1) lgdogf] A003472 5.81643 [{(-n-2)*a(n+2)+(12+2*n)*a(n+1),a(0)=1,a(1)=10} ogf] A003472 50.3191 [-10/(-1+2*x) lgdogf] A003476 4.5689 [-(8*f(x)-1)*(2*f(x)*x^3+f(x)*x+x^2-f(x)+x+1) ogf] A003476 4.71471 [{a(n+3)-a(n+2)-2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A003476 8.36194 [-(x^2+x+1)/(2*x^3+x-1) ogf] A003476 9.76940 [-(x^2+2*x+2)*(2*x^2+1)/(x^2+x+1)/(2*x^3+x-1) lgdogf] A003477 10.3540 [-(-3+6*x-10*x^4+24*x^3+24*x^5-15*x^2)/(-1+2*x)/(1+x^2)/(2*x^3+x-1) lgdogf] A003477 10.7246 [1/(2*x-1)/(x^2+1)/(2*x^3+x-1) ogf] A003478 16.3408 [1/(2*x-1)/(2*x^3+x-1) ogf] A003478 18.2957 [-(-3+4*x+16*x^3-6*x^2)/(-1+2*x)/(2*x^3+x-1) lgdogf] A003478 6.72857 [(47*f(x)+16)*(4*f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A003478 9.88520 [-(16*x^3-6*x^2+4*x-3)/(4*x^4-2*x^3+2*x^2-3*x+1) lgdogf] A003479 16.4842 [1/(x-1)/(2*x^3+x-1) ogf] A003479 18.1864 [-2*(-1+x+4*x^3-3*x^2)/(-1+x)/(2*x^3+x-1) lgdogf] A003479 6.13048 [-(5*f(x)+6)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A003479 9.27236 [-(8*x^3-6*x^2+2*x-2)/(2*x^4-2*x^3+x^2-2*x+1) lgdogf] A003480 11.8431 [(x-1)^2/(2*x^2-4*x+1) ogf] A003480 14.2655 [2/(-2*x^3+6*x^2-5*x+1) lgdogf] A003480 26.7307 [-2/(-1+x)/(2*x^2-4*x+1) lgdogf] A003480 6.15375 [{-a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A003480 6.67746 [(-9+41*f(x))*(2*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A003481 12.2121 [(x^2-4*x-2)/(x-1)/(x^2-7*x+1) ogf] A003481 12.4166 [-(-20+34*x+x^4-8*x^3+18*x^2)/(-1+x)/(x^2-7*x+1)/(x^2-4*x-2) lgdogf] A003481 6.10608 [-(47140*f(x)-3641)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+4*x+2) ogf] A003481 6.47775 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=2,a(1)=20,a(2)=143} ogf] A003481 7.23244 [-(x^4-8*x^3+18*x^2+34*x-20)/(x^5-12*x^4+38*x^3-17*x^2-12*x+2) lgdogf] A003482 12.2557 [x*(x-5)/(x-1)/(x^2-7*x+1) ogf] A003482 14.0674 [-(-39+80*x+2*x^3-23*x^2)/(-1+x)/(x-5)/(x^2-7*x+1) lgdogf] A003482 6.23728 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=39} ogf] A003482 6.78229 [-f(x)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+5*x) ogf] A003482 8.12297 [-(2*x^3-23*x^2+80*x-39)/(x^4-13*x^3+48*x^2-41*x+5) lgdogf] A003485 10.2792 [-2*(1+3*x+5*x^4+6*x^3+4*x^6+5*x^5+8*x^2)/(-1+x)/(1+x)/(1+x^2)/(4*x^3+2*x^2+x+1) lgdogf] A003485 12.0091 [(4*x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A003485 6.27748 [-(31681*f(x)+384503)*(f(x)*x^5-f(x)*x^4-4*x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A003486 14.5041 [-6*(1+3*x+9*x^2)/(3*x-1)/(18*x^2-3*x+1) lgdogf] A003486 4.98297 [(76*f(x)-31)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+18*x^2-f(x)-3*x+1) ogf] A003486 5.02630 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=6,a(2)=45} ogf] A003486 8.50035 [-(-54*x^2-18*x-6)/(-54*x^3+27*x^2-6*x+1) lgdogf] A003486 9.03162 [-(18*x^2-3*x+1)/(3*x-1)^3 ogf] A003499 11.1913 [-(-3*x^2+2*x-3)/(-3*x^3+19*x^2-9*x+1) lgdogf] A003499 16.1652 [-2*(3*x-1)/(x^2-6*x+1) ogf] A003499 21.0262 [-(3-2*x+3*x^2)/(3*x-1)/(1-6*x+x^2) lgdogf] A003499 7.82188 [-(140*f(x)-199)*(f(x)*x^2-6*f(x)*x+f(x)+6*x-2) ogf] A003499 8.87115 [{a(n+2)-6*a(n+1)+a(n),a(0)=2,a(1)=6} ogf] A003500 14.0540 [-2*(2*x-1)/(x^2-4*x+1) ogf] A003500 18.7794 [-2*(1-x+x^2)/(-1+2*x)/(x^2-4*x+1) lgdogf] A003500 7.71259 [{a(n+2)-4*a(n+1)+a(n),a(0)=2,a(1)=4} ogf] A003500 8.23475 [-(45*f(x)-58)*(f(x)*x^2-4*f(x)*x+f(x)+4*x-2) ogf] A003500 9.88175 [-(-2*x^2+2*x-2)/(-2*x^3+9*x^2-6*x+1) lgdogf] A003501 13.3258 [-(5*x-2)/(x^2-5*x+1) ogf] A003501 17.2735 [-(5-4*x+5*x^2)/(5*x-2)/(x^2-5*x+1) lgdogf] A003501 7.31295 [{a(n+2)-5*a(n+1)+a(n),a(0)=2,a(1)=5} ogf] A003501 7.92767 [-(21*f(x)-17)*(f(x)*x^2-5*f(x)*x+f(x)+5*x-2) ogf] A003501 9.08579 [-(-5*x^2+4*x-5)/(-5*x^3+27*x^2-15*x+2) lgdogf] A003516 10.1723 [-35+144*x+(5-44*x+96*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A003516 4.64912 [{(-4*n^2-34*n-72)*a(n+1)+(n^2+9*n+14)*a(n+2),a(0)=1,a(1)=7} ogf] A003516 6.88966 [(-1/2*(24*x-5)/(-1+4*x)^(1/2)+5/2*I)/(-1+4*x)^(1/2)/x lgdogf] A003517 10.7324 [12/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A003517 18.8814 [-36+(6-24*x)*f(x)+(x-4*x^2)*f(x)^2 lgdogf] A003517 5.27966 [{(-4*n^2-34*n-72)*a(n+1)+(n^2+10*n+16)*a(n+2),a(0)=1,a(1)=6} ogf] A003518 10.2803 [16/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A003518 18.0752 [-64+(8-32*x)*f(x)+(x-4*x^2)*f(x)^2 lgdogf] A003518 5.01678 [{(-4*n^2-42*n-110)*a(n+1)+(n^2+12*n+20)*a(n+2),a(0)=1,a(1)=8} ogf] A003519 10.1662 [20/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A003519 12.8755 [20/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A003519 6.23339 [{(-4*n^2-50*n-156)*a(n+1)+(n^2+14*n+24)*a(n+2),a(0)=1,a(1)=10} ogf] A003520 10.8247 [(f(x)-2)*(f(x)*x^5+f(x)*x-f(x)+1) ogf] A003520 16.8615 [-(5*x^4+1)/(x^5+x-1) lgdogf] A003520 26.5696 [-1/(x^2-x+1)/(x^3+x^2-1) ogf] A003520 26.9085 [-(1+5*x^4)/(x^2-x+1)/(x^3+x^2-1) lgdogf] A003522 12.0628 [-(-1+3*x+2*x^4-3*x^3-3*x^2)/(-1+x)/(x^4+x^3-3*x^2+3*x-1) lgdogf] A003522 5.3468 [(3*f(x)-2)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A003522 7.83793 [-(-2*x^4+3*x^3+3*x^2-3*x+1)/(-x^5+4*x^3-6*x^2+4*x-1) lgdogf] A003522 9.99620 [-(x-1)^2/(x^4+x^3-3*x^2+3*x-1) ogf] A003539 10.4851 [-(1777-3522*x+1713*x^2)/(-1+x)/(3*x-1)/(571*x-587) lgdogf] A003539 10.9436 [-(571*x-587)/(x-1)/(3*x-1) ogf] A003539 5.4718 [(3586*f(x)+1052747)*(3*f(x)*x^2-4*f(x)*x+f(x)+571*x-587) ogf] A003539 6.16363 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=587,a(1)=1777} ogf] A003539 6.38376 [-(-1713*x^2+3522*x-1777)/(-1713*x^3+4045*x^2-2919*x+587) lgdogf] A003539 9.89156 [-1/2*(-587-4*x+(344569+2412*x+4*x^2)^(1/2))/(571+3*x) revogf] A003555 3.57852 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=1,a(1)=66,a(2)=6216} ogf] A003555 4.66273 [-(3465189673*f(x)+297886700)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-45*x+1) ogf] A003555 6.37466 [-6*(-11+370*x+15000*x^3-8825*x^2)/(-1+x)/(100*x-1)/(10*x-1)/(45*x-1) lgdogf] A003555 7.15703 [(45*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A003575 14.3950 [-3*a(n)+(n+1)*a(n+1),a(0)=2,a(1)=3 lgdegf] A003576 13.2475 [4*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=4 lgdegf] A003577 13.9701 [5*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=5 lgdegf] A003578 14.6124 [6*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=6 lgdegf] A003579 13.3003 [-7*a(n)+(n+1)*a(n+1),a(0)=2,a(1)=7 lgdegf] A003579 15.3170 [1+exp(7*x) lgdegf] A003580 13.6938 [8*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=8 lgdegf] A003580 15.7597 [1+exp(8*x) lgdegf] A003581 14.0086 [-9*a(n)+(n+1)*a(n+1),a(0)=2,a(1)=9 lgdegf] A003581 16.1139 [1+exp(9*x) lgdegf] A003582 13.4205 [10*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=10 lgdegf] A003583 2.79081 [256*f(x)^2*x^4-256*f(x)^2*x^3+96*f(x)^2*x^2+64*f(x)*x^3-16*f(x)^2*x-64*f(x)*x^2+4*x^3+f(x)^2+20*f(x)*x+3*x^2-2*f(x)-4*x+1 ogf] A003584 5.31456 [-128*f(x)^2*x^3+16*f(x)^2*x^2+96*f(x)*x^2-20*f(x)*x-81*x^2+f(x)+18*x-1 ogf] A003590 11.4007 [-(11*f(x)*x-f(x)+1)^3 ogf] A003590 18.6494 [1331-363*f(x)+33*f(x)^2-f(x)^3 lgdegf] A003600 16.2795 [-(2+2*x+x^3-x^2)/(-1+x)/(x^4-3*x^3+4*x^2-2*x+1) lgdogf] A003600 5.34497 [(8*f(x)-11)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+3*x^3-4*f(x)*x-4*x^2+f(x)+2*x-1) ogf] A003600 8.86778 [-(-x^3+x^2-2*x-2)/(-x^5+4*x^4-7*x^3+6*x^2-3*x+1) lgdogf] A003600 9.18076 [(x^4-3*x^3+4*x^2-2*x+1)/(x-1)^4 ogf] A003619 6.56500 [-(x^18-x^17+x^6-x^5+x^2-x-1)/(x-1)^2 ogf] A003619 6.77447 [(3-x+5*x^4+4*x^6-9*x^5+16*x^18-33*x^17+17*x^16)/(-1+x)/(x^18-x^17+x^6-x^5+x^2-x-1) lgdogf] A003645 12.7546 [-4*f(x)^2*x^2-4*f(x)*x+f(x)-1 ogf] A003645 18.8130 [-x/(-4*x^2-4*x-1) revogf] A003645 22.4235 [8/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdogf] A003645 67.2705 [x/(2*x+1)^2 revogf] A003645 7.16684 [{(-8*n-20)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A003662 6.58572 [(-4-8*x+6*x^11-x^9-18*x^7-13*x^4-20*x^3-2*x^10-3*x^8-6*x^6-15*x^5-12*x^2)/(-1+x)/(1+x)/(1+x^2)/(2*x^8+x^6-x^5+2*x^4+2*x^3+2*x^2+3*x+1) lgdogf] A003662 8.90157 [(2*x^8+x^6-x^5+2*x^4+2*x^3+2*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A003663 6.45428 [(-6-10*x-2*x^9-15*x^7-7*x^4-6*x^3+8*x^10-2*x^8-x^6+x^5-14*x^2)/(-1+x)/(x^2+x+1)/(2*x^8+x^5-3*x^4+x^3+2*x^2+5*x+1) lgdogf] A003663 9.28261 [(2*x^8+x^5-3*x^4+x^3+2*x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A003664 6.94406 [(x^10+2*x^9-2*x^8+2*x^7+x^6+x^5+x^4+3*x^3+x^2+3*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A003665 12.8207 [(x-1)/(2*x+1)/(4*x-1) ogf] A003665 14.1097 [-(-1-16*x+8*x^2)/(-1+x)/(1+2*x)/(-1+4*x) lgdogf] A003665 15.2537 [1/2/(8*x-1)*(-2*x-1+(36*x^2+1)^(1/2)) revogf] A003665 7.03573 [{-a(n+2)+2*a(n+1)+8*a(n),a(0)=1,a(1)=1} ogf] A003665 8.87585 [-(8*x^2-16*x-1)/(8*x^3-6*x^2-3*x+1) lgdogf] A003665 9.18391 [(108*f(x)-107)*(8*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A003674 11.6461 [-(-16*x-2)/(-8*x^2-2*x+1) lgdogf] A003674 12.7557 [1/16*(-3-2*x+(3+4*x+12*x^2)^(1/2)*3^(1/2))/x revogf] A003674 15.4232 [-3*x/(2*x+1)/(4*x-1) ogf] A003674 20.7871 [-2*(1+8*x)/(1+2*x)/(-1+4*x) lgdogf] A003674 7.04517 [{-a(n+2)+2*a(n+1)+8*a(n),a(0)=0,a(1)=3} ogf] A003674 9.6722 [-8*f(x)*x^2-2*f(x)*x+f(x)-3*x ogf] A003682 10.7693 [-(x^3-x^2+x+1)/(x-1)^3 ogf] A003682 11.6106 [-(-2*x^2-4)/(-x^4+2*x^3-2*x^2+1) lgdogf] A003682 23.4735 [-2*(2+x^2)/(-1+x)/(x^3-x^2+x+1) lgdogf] A003682 5.58706 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=8,a(3)=14} ogf] A003682 6.19232 [(3*f(x)+13)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)+x+1) ogf] A003683 10.1805 [-8*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A003683 12.2582 [-(-16*x-2)/(-8*x^2-2*x+1) lgdogf] A003683 16.2338 [-x/(2*x+1)/(4*x-1) ogf] A003683 16.4199 [1/16/x*(-2*x-1+(36*x^2+4*x+1)^(1/2)) revogf] A003683 21.8932 [-2*(1+8*x)/(1+2*x)/(-1+4*x) lgdogf] A003683 7.41544 [{-a(n+2)+2*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A003685 4.92020 [(2*x^7-8*x^6+12*x^5-2*x^4-2*x^3-6*x^2+5*x+1)/(2*x-1)/(x-1)/(2*x^2-1)^2 ogf] A003688 11.7414 [-(-x^2-2*x-4)/(-x^3-4*x^2-2*x+1) lgdogf] A003688 16.6989 [-(x+1)/(x^2+3*x-1) ogf] A003688 18.4567 [1/2/(x+1)*(-1-3*x+(1+10*x+13*x^2)^(1/2)) revogf] A003688 24.6089 [-(4+2*x+x^2)/(1+x)/(x^2+3*x-1) lgdogf] A003688 8.8406 [(7*f(x)+1)*(f(x)*x^2+3*f(x)*x-f(x)+x+1) ogf] A003688 9.16405 [{a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=4} ogf] A003689 3.90918 [{-a(n+5)+7*a(n+4)-16*a(n+3)+12*a(n+2),a(0)=3,a(1)=30,a(2)=144,a(3)=588,a(4)=2160} ogf] A003689 4.20989 [(123445*f(x)+2731947)*(12*f(x)*x^3-12*x^4-16*f(x)*x^2+24*x^3+7*f(x)*x-18*x^2-f(x)+9*x+3) ogf] A003689 7.27743 [2*(-5+12*x-26*x^4+22*x^3+12*x^5-3*x^2)/(3*x-1)/(-1+2*x)/(4*x^4-8*x^3+6*x^2-3*x-1) lgdogf] A003689 7.34163 [3*(4*x^4-8*x^3+6*x^2-3*x-1)/(3*x-1)/(2*x-1)^2 ogf] A003690 11.4359 [-3*(x+1)/(x-1)/(x^2-23*x+1) ogf] A003690 5.33028 [{a(n+3)-24*a(n+2)+24*a(n+1)-a(n),a(0)=3,a(1)=75,a(2)=1728} ogf] A003690 5.37584 [(29092775*f(x)-352503)*(f(x)*x^3-24*f(x)*x^2+24*f(x)*x-f(x)+3*x+3) ogf] A003690 8.16848 [-(-2*x^3+21*x^2+48*x-25)/(-x^4+23*x^3-23*x+1) lgdogf] A003690 9.50581 [-(25-48*x+2*x^3-21*x^2)/(-1+x)/(1+x)/(x^2-23*x+1) lgdogf] A003691 16.4137 [-12/(1+2*x)/(8*x^2+8*x-1) lgdogf] A003691 4.01366 [{-a(n+3)+8*a(n+2)+8*a(n+1),a(0)=3,a(1)=36,a(2)=324} ogf] A003691 4.34468 [(21+89*f(x))*(8*f(x)*x^2+8*f(x)*x+12*x^2-f(x)+12*x+3) ogf] A003691 7.66244 [-3*(2*x+1)^2/(8*x^2+8*x-1) ogf] A003691 8.96668 [-12/(16*x^3+24*x^2+6*x-1) lgdogf] A003692 5.52941 [9*f(x)^2*x^3-6*f(x)*x^3+2*x^3+18*f(x)*x-12*f(x)-6*x+12 egf] A003693 5.93018 [-(3+24*x+2*x^7+16*x^4-24*x^3-9*x^6+8*x^5-12*x^2)/(-1+x)/(x-2)/(1+x)/(x^5-3*x^4-2*x^3+7*x^2+2*x-1) lgdogf] A003693 6.57035 [-x*(x-1)*(x-2)*(x+1)/(x^5-3*x^4-2*x^3+7*x^2+2*x-1) ogf] A003697 3.68472 [-(x-1)/(x+1)/(x^2-4*x+1) ogf] A003698 4.74747 [(29571*f(x)-1036)*(4*f(x)*x^3-3*f(x)*x^2-6*f(x)*x+4*x^2+f(x)-3*x-1) ogf] A003698 4.95754 [{a(n+3)-6*a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=9,a(2)=53} ogf] A003698 8.56592 [-(9-2*x+16*x^4-24*x^3+21*x^2)/(-1+x)/(1+4*x)/(1+x)/(4*x^2-7*x+1) lgdogf] A003698 9.18364 [-(4*x+1)*(x-1)/(x+1)/(4*x^2-7*x+1) ogf] A003699 11.0630 [-(x^2-2*x-1)/(x^2-4*x+1) ogf] A003699 15.0999 [-2*(3-2*x+x^2)/(x^2-4*x+1)/(x^2-2*x-1) lgdogf] A003699 5.69259 [{a(n+3)-4*a(n+2)+a(n+1),a(0)=1,a(1)=6,a(2)=22} ogf] A003699 7.82615 [-(4+5*f(x))*(f(x)*x^2-4*f(x)*x+x^2+f(x)-2*x-1) ogf] A003699 8.14357 [-(2*x^2-4*x+6)/(x^4-6*x^3+8*x^2+2*x-1) lgdogf] A003708 13.2668 [a(n)*n-a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=1 revegf] A003724 11.9288 [a(n+1)+(-5*n-6-n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=1/2 lgdegf] A003724 15.7926 [1/2*exp(-x)+1/2*exp(x) lgdegf] A003725 10.4896 [(-n-3)*a(n+3)+n*a(n+2)+a(n+1),a(0)=1,a(1)=-2,a(2)=3/2 lgdegf] A003725 10.6124 [-exp(-x)*x+exp(-x) lgdegf] A003727 13.4905 [1/2*exp(x)+1/2*exp(x)*x+1/2*exp(-x)-1/2*exp(-x)*x lgdegf] A003727 8.42184 [1/2*exp(x)*(x+1)-1/2*exp(-x)*(x-1) lgdegf] A003729 3.30978 [-(36029843*f(x)+2094787)*(f(x)*x^4-19*f(x)*x^3+41*f(x)*x^2+x^3-19*f(x)*x-18*x^2+f(x)+33*x-11) ogf] A003729 6.38030 [-(x^3-18*x^2+33*x-11)/(x^4-19*x^3+41*x^2-19*x+1) ogf] A003730 3.61363 [(481663813*f(x)+13419675)*(3*f(x)*x^4-22*f(x)*x^3-4*f(x)*x^2+3*x^3+9*f(x)*x-14*x^2-f(x)+2*x+1) ogf] A003730 5.79491 [-(11-36*x+338*x^4-130*x^3+9*x^6-84*x^5+61*x^2)/(3*x^3-14*x^2+2*x+1)/(3*x^4-22*x^3-4*x^2+9*x-1) lgdogf] A003730 7.04429 [-(3*x^3-14*x^2+2*x+1)/(3*x^4-22*x^3-4*x^2+9*x-1) ogf] A003731 11.0541 [(2*x^3-4*x^2+x-1)/(2*x^3-4*x^2+6*x-1) ogf] A003731 13.6367 [5*(1+4*x^3-4*x^2)/(2*x^3-4*x^2+x-1)/(2*x^3-4*x^2+6*x-1) lgdogf] A003731 5.64987 [{a(n+4)-6*a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=5,a(2)=30,a(3)=160} ogf] A003731 6.35611 [(7*f(x)+13)*(2*f(x)*x^3-4*f(x)*x^2-2*x^3+6*f(x)*x+4*x^2-f(x)-x+1) ogf] A003731 7.78298 [-(20*x^3-20*x^2+5)/(-4*x^6+16*x^5-30*x^4+32*x^3-14*x^2+7*x-1) lgdogf] A003735 4.09207 [-(24805652224*f(x)+583383525)*(f(x)*x^4-44*f(x)*x^3+102*f(x)*x^2+x^3-44*f(x)*x-43*x^2+f(x)+87*x-29) ogf] A003735 8.08673 [-(x^3-43*x^2+87*x-29)/(x^4-44*x^3+102*x^2-44*x+1) ogf] A003736 5.80298 [-4*(x-1)*(6*x^4-266*x^3+9*x^2+19*x+1)/(24*x^6-1098*x^5+1354*x^4+285*x^3-149*x^2-21*x+1) ogf] A003737 4.84283 [4*(2*x^2-3*x-1)*(8*x^5-40*x^4+22*x^3+10*x^2-7*x-1)/(16*x^7-32*x^6-188*x^5+120*x^4+80*x^3-50*x^2-13*x+1) ogf] A003738 6.89825 [-8*(6720743*x^4+216352*x^3+5243*x^2-60*x-3)/(56832*x^4+3328*x^3+128*x^2-60*x+1) ogf] A003741 5.83353 [-(x^5-64*x^4+523*x^3-850*x^2+403*x-40)/(x^6-65*x^5+548*x^4-995*x^3+548*x^2-65*x+1) ogf] A003742 4.73823 [-3*(135*x^5-2388*x^4+1853*x^3-54*x^2-57*x-2)/(405*x^6-7239*x^5+6539*x^4+707*x^3-396*x^2-26*x+1) ogf] A003743 5.20196 [6*(256*x^5-504*x^4+234*x^3-12*x^2-18*x-1)/(256*x^5+432*x^4-460*x^3+136*x^2+16*x-1) ogf] A003747 10.3322 [-(x^2-75*x+56)/(x-1)/(x^2-75*x+1) ogf] A003747 4.90216 [-(21046083551*f(x)+276185465)*(f(x)*x^3-76*f(x)*x^2+76*f(x)*x+x^2-f(x)-75*x+56) ogf] A003747 5.46013 [{-a(n+3)+76*a(n+2)-76*a(n+1)+a(n),a(0)=56,a(1)=4181,a(2)=313501} ogf] A003747 5.64366 [-(-x^4+150*x^3-5792*x^2+8510*x-4181)/(-x^5+151*x^4-5832*x^3+9957*x^2-4331*x+56) lgdogf] A003748 4.68921 [(235489347867448*f(x)+131149068747457)*(436*f(x)*x^3-288*f(x)*x^2-47*f(x)*x+436*x^2+f(x)-250*x-12) ogf] A003748 5.63462 [{-a(n+3)+47*a(n+2)+288*a(n+1)-436*a(n),a(0)=12,a(1)=814,a(2)=41278} ogf] A003748 7.90347 [-(407+3020*x+95048*x^4-109000*x^3+38398*x^2)/(436*x^3-288*x^2-47*x+1)/(218*x^2-125*x-6) lgdogf] A003748 9.84075 [-2*(218*x^2-125*x-6)/(436*x^3-288*x^2-47*x+1) ogf] A003749 11.6145 [40*(1+12*x^2)/(12*x^2-12*x-1)/(12*x^2+28*x-1) lgdogf] A003749 4.80618 [{a(n+3)-28*a(n+2)-12*a(n+1),a(0)=12,a(1)=480,a(2)=13440} ogf] A003749 6.83956 [-(480*x^2+40)/(-144*x^4-192*x^3+360*x^2+16*x-1) lgdogf] A003749 6.83956 [-12*f(x)*x^2-28*f(x)*x+144*x^2+f(x)-144*x-12 ogf] A003749 8.89143 [12*(12*x^2-12*x-1)/(12*x^2+28*x-1) ogf] A003751 4.81702 [-125*(x+1)*(x^2+145*x+1)/(x-1)/(x^2-47*x+1)/(x^2-2207*x+1) ogf] A003752 4.91179 [-4*(2*x^7+4*x^6-37*x^5+21*x^4+30*x^3-16*x^2+7*x+1)/(x+1)/(2*x^2+4*x-1)/(x^2-4*x+1)^2 ogf] A003753 5.60614 [4*(x^4+6*x^3-30*x^2+6*x+1)/(x^2-6*x+1)/(x^4-84*x^3+230*x^2-84*x+1) ogf] A003755 6.38760 [(x^4+6*x^3-16*x^2+6*x+1)/(x^2-6*x+1)/(x^4-42*x^3+83*x^2-42*x+1) ogf] A003756 10.4876 [-(2*x^3+8*x^2-2*x+1)/(4*x^3+16*x^2+2*x-1) ogf] A003756 12.2813 [6*x*(-8+4*x^2+5*x)/(4*x^3+16*x^2+2*x-1)/(2*x^3+8*x^2-2*x+1) lgdogf] A003756 5.47858 [{-a(n+4)+2*a(n+3)+16*a(n+2)+4*a(n+1),a(0)=1,a(1)=0,a(2)=24,a(3)=54} ogf] A003756 5.73539 [(13285+19483*f(x))*(4*f(x)*x^3+16*f(x)*x^2+2*x^3+2*f(x)*x+8*x^2-f(x)-2*x+1) ogf] A003756 7.41545 [-(-24*x^3-30*x^2+48*x)/(8*x^6+64*x^5+124*x^4-14*x^3+4*x^2+4*x-1) lgdogf] A003757 5.03459 [(21*f(x)-31)*(f(x)*x^4-f(x)*x^3-6*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A003757 9.83602 [-(1+10*x-x^4-4*x^3+2*x^5+4*x^2)/(-1+x)/(1+x)/(x^4-x^3-6*x^2-x+1) lgdogf] A003757 9.83682 [-x*(x-1)*(x+1)/(x^4-x^3-6*x^2-x+1) ogf] A003758 5.88924 [-(7+50*x+2*x^7+30*x^4-30*x^3-9*x^6+4*x^5-36*x^2)/(-1+x)/(x^2-x-3)/(x^5-3*x^4-3*x^3+9*x^2+3*x-1) lgdogf] A003758 6.39046 [-x*(x-1)*(x^2-x-3)/(x^5-3*x^4-3*x^3+9*x^2+3*x-1) ogf] A003759 11.2731 [-2*x/(x^4-2*x^3+3*x^2+3*x-1) ogf] A003759 13.3623 [-(3+6*x+4*x^3-6*x^2)/(3*x^2-1+3*x+x^4-2*x^3) lgdogf] A003759 4.9378 [-(3*f(x)+2)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+3*f(x)*x-f(x)+2*x) ogf] A003759 7.46841 [-(-4*x^3+6*x^2-6*x-3)/(-x^4+2*x^3-3*x^2-3*x+1) lgdogf] A003764 5.53198 [-(16*x^4-16*x^3-9*x^2+7*x+1)/(16*x^5-16*x^4-29*x^3+16*x^2+6*x-1) ogf] A003765 4.95448 [-(4*x^5-12*x^4+3*x^3+7*x^2-5*x-1)/(4*x^5-20*x^4+19*x^3-3*x^2-5*x+1) ogf] A003769 11.4111 [-(x^2-4*x-3)/(x+1)/(x^2-5*x+1) ogf] A003769 5.61355 [-(125577*f(x)+23872)*(f(x)*x^3-4*f(x)*x^2-4*f(x)*x+x^2+f(x)-4*x-3) ogf] A003769 6.10596 [{-a(n+3)+4*a(n+2)+4*a(n+1)-a(n),a(0)=3,a(1)=16,a(2)=75} ogf] A003769 6.96079 [-(-x^4+8*x^3-11*x^2-22*x-16)/(-x^5+8*x^4-9*x^3-29*x^2-8*x+3) lgdogf] A003769 8.88208 [-(16+22*x+x^4-8*x^3+11*x^2)/(1+x)/(x^2-5*x+1)/(x^2-4*x-3) lgdogf] A003770 3.73497 [(19799*f(x)+3963)*(12*f(x)*x^3-8*f(x)*x^2-11*f(x)*x+12*x^2+f(x)-9*x-3) ogf] A003770 3.86267 [{a(n+3)-11*a(n+2)-8*a(n+1)+12*a(n),a(0)=3,a(1)=42,a(2)=474} ogf] A003770 6.48297 [-2*(7+4*x+24*x^4-36*x^3+16*x^2)/(-1+x)/(1+4*x)/(12*x^3-8*x^2-11*x+1) lgdogf] A003770 7.06144 [-3*(4*x+1)*(x-1)/(12*x^3-8*x^2-11*x+1) ogf] A003771 10.2778 [-3*(2*x^2-3*x-1)/(2*x^2-7*x+1) ogf] A003771 12.1124 [-2*(5-4*x+4*x^2)/(2*x^2-3*x-1)/(2*x^2-7*x+1) lgdogf] A003771 5.18782 [{a(n+3)-7*a(n+2)+2*a(n+1),a(0)=3,a(1)=30,a(2)=198} ogf] A003771 5.50223 [-(31*f(x)+57)*(2*f(x)*x^2-7*f(x)*x+6*x^2+f(x)-9*x-3) ogf] A003771 7.26295 [-(8*x^2-8*x+10)/(4*x^4-20*x^3+21*x^2+4*x-1) lgdogf] A003772 4.55946 [12*(24*x^6-164*x^5+398*x^4-275*x^3+55*x^2-11*x-1)/(6*x^2+9*x-1)/(2*x^2-7*x+1)^2 ogf] A003773 5.83954 [16*(x^2+12*x+1)/(x^2-6*x+1)/(x^2-198*x+1) ogf] A003774 5.32464 [-4*(24*x^6+48*x^5+12*x^3+20*x^2+1)/(48*x^3+4*x^2+12*x-1) ogf] A003775 4.91713 [(7866*f(x)+179)*(f(x)*x^4-15*f(x)*x^3+32*f(x)*x^2+x^3-15*f(x)*x-7*x^2+f(x)+7*x-1) ogf] A003775 7.87641 [-(8-50*x+94*x^4-184*x^3+x^6-14*x^5+161*x^2)/(-1+x)/(1-6*x+x^2)/(x^4-15*x^3+32*x^2-15*x+1) lgdogf] A003775 8.91230 [-(x-1)*(x^2-6*x+1)/(x^4-15*x^3+32*x^2-15*x+1) ogf] A003776 3.23497 [(80127*f(x)+28459)*(26*f(x)*x^3-57*f(x)*x^2+24*f(x)*x+15*x^2-f(x)-18*x+3) ogf] A003776 3.37090 [{-a(n+3)+24*a(n+2)-57*a(n+1)+26*a(n),a(0)=3,a(1)=54,a(2)=1140} ogf] A003776 5.27812 [-2*(9-52*x+65*x^4-156*x^3+150*x^2)/(-1+x)/(-1+2*x)/(5*x-1)/(13*x^2-22*x+1) lgdogf] A003776 6.07783 [-3*(5*x-1)*(x-1)/(2*x-1)/(13*x^2-22*x+1) ogf] A003777 10.6791 [(x^3-3*x^2+7*x+1)/(x-1)^4 ogf] A003777 17.9408 [-(11+15*x+x^3-3*x^2)/(-1+x)/(x^3-3*x^2+7*x+1) lgdogf] A003777 4.19534 [{(49*n^2+339*n+482)*a(n+1)+(-218*n^2-1580*n-2684)*a(n+2)+(169*n^2+881*n+1122)*a(n+3),a(0)=1,a(1)=11,a(2)=35} ogf] A003777 5.71033 [(7479*f(x)+20042)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-7*x-1) ogf] A003777 9.90707 [-(-x^3+3*x^2-15*x-11)/(-x^4+4*x^3-10*x^2+6*x+1) lgdogf] A003781 99.9999 Evaluated at exp(-Pi) 9/16*Pi^(7/4)/GAMMA(3/4)^7 A003784 9.64516 [-(-19*x^3-2*x^2-x-2)/(x^4-1) ogf_with_Euler_transform] A003815 8.21982 [x*(x^3-x^2+3*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A003815 9.61111 [-(3+17*x^4+4*x^3+3*x^6-4*x^5+9*x^2)/(-1+x)/(1+x)/(1+x^2)/(x^3-x^2+3*x+1) lgdogf] A003816 10.0491 [-(-1+8*x-3*x^4+12*x^3+3*x^6+12*x^5+x^2)/(-1+x)/(1+x)/(1+x^2)/(x^3+3*x^2-x+1) lgdogf] A003816 8.27462 [x*(x^3+3*x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A003823 14.4107 [-(-x^2+1)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A003878 6.17125 [-(3*x^4-21*x^3+43*x^2-2*x+1)/(x-1)^5 ogf] A003878 9.14072 [-3*(1+26*x+x^4-10*x^3+22*x^2)/(-1+x)/(3*x^4-21*x^3+43*x^2-2*x+1) lgdogf] A003884 3.00321 [(f(x)*x-f(x)+14*x+1)^2 ogf] A003945 11.2158 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A003945 17.9453 [-2*f(x)*x+f(x)-x-1 ogf] A003945 21.8253 [-(x+1)/(2*x-1) ogf] A003945 22.4316 [-3/(2*x^2+x-1) lgdogf] A003945 26.4477 [-1/2-x+1/2*(1+8*x+4*x^2)^(1/2) revogf] A003945 46.6724 [-3/(1+x)/(-1+2*x) lgdogf] A003946 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A003946 17.6994 [-(x+1)/(3*x-1) ogf] A003946 17.8290 [-1/2-3/2*x+1/2*((1+x)*(9*x+1))^(1/2) revogf] A003946 18.1911 [-4/(3*x^2+2*x-1) lgdogf] A003946 40.1154 [-4/(1+x)/(3*x-1) lgdogf] A003946 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A003947 15.9513 [-4*f(x)*x+f(x)-x-1 ogf] A003947 19.4003 [-(x+1)/(4*x-1) ogf] A003947 19.9392 [-5/(4*x^2+3*x-1) lgdogf] A003947 20.7334 [-1/2-2*x+1/2*(1+12*x+16*x^2)^(1/2) revogf] A003947 41.4667 [-5/(1+x)/(-1+4*x) lgdogf] A003947 9.96958 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A003948 10.3287 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A003948 16.5259 [-5*f(x)*x+f(x)-x-1 ogf] A003948 20.0990 [-(x+1)/(5*x-1) ogf] A003948 20.3042 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A003948 20.6573 [-6/(5*x^2+4*x-1) lgdogf] A003948 45.6845 [-6/(1+x)/(5*x-1) lgdogf] A003949 10.2774 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A003949 16.4439 [-6*f(x)*x+f(x)-x-1 ogf] A003949 19.9994 [-(x+1)/(6*x-1) ogf] A003949 20.5549 [-7/(6*x^2+5*x-1) lgdogf] A003949 21.3951 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A003949 45.4646 [-7/(1+x)/(6*x-1) lgdogf] A003950 15.936 [-7*f(x)*x+f(x)-x-1 ogf] A003950 19.3816 [-(x+1)/(7*x-1) ogf] A003950 19.5766 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A003950 19.9200 [-8/(7*x^2+6*x-1) lgdogf] A003950 44.0473 [-8/(1+x)/(7*x-1) lgdogf] A003950 9.96001 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A003951 15.2226 [-8*f(x)*x+f(x)-x-1 ogf] A003951 18.1848 [-4*x-1/2+1/2*((1+4*x)*(16*x+1))^(1/2) revogf] A003951 18.5140 [-(x+1)/(8*x-1) ogf] A003951 19.0282 [-9/(8*x^2+7*x-1) lgdogf] A003951 39.5788 [-9/(1+x)/(-1+8*x) lgdogf] A003951 9.51412 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A003952 15.9668 [-9*f(x)*x+f(x)-x-1 ogf] A003952 19.4191 [-(x+1)/(9*x-1) ogf] A003952 19.4191 [-10/(9*x^2+8*x-1) lgdogf] A003952 19.6202 [-9/2*x-1/2+1/2*(81*x^2+22*x+1)^(1/2) revogf] A003952 39.2405 [-10/(1+x)/(-1+9*x) lgdogf] A003952 9.84256 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A003953 10.6553 [-10*f(x)*x+f(x)-x-1 ogf] A003953 12.8986 [-(x+1)/(10*x-1) ogf] A003953 12.8986 [-11/(10*x^2+9*x-1) lgdogf] A003953 13.6804 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A003953 26.6007 [-11/(1+x)/(10*x-1) lgdogf] A003953 6.62358 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A003954 10.6553 [-11*f(x)*x+f(x)-x-1 ogf] A003954 12.5678 [-12/(11*x^2+10*x-1) lgdogf] A003954 12.6003 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A003954 12.8986 [-(x+1)/(11*x-1) ogf] A003954 26.6007 [-12/(1+x)/(11*x-1) lgdogf] A003954 6.62358 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A003982 18.4174 [x^3/(x^4+1) ogf_with_Euler_transform] A003982 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)/Pi^(1/4)*2^(3/4)/GAMMA(7/8)*GAMMA(5/8) A003993 10.4122 [-2*(x+1)/(3*x-1)/(x-1)^2 ogf] A003993 14.1922 [-2*(-3+4*x+3*x^2)/(-1+x)/(3*x-1)/(1+x) lgdogf] A003993 4.84075 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=2,a(1)=12,a(2)=46} ogf] A003993 7.01499 [(5834*f(x)-8529)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)+2*x+2) ogf] A003993 8.62259 [-(6*x^2+8*x-6)/(3*x^3-x^2-3*x+1) lgdogf] A003994 4.75455 [-2*(3*x^4-8*x^3-54*x^2+24*x+3)/(x^2-6*x+1)/(3*x-1)^2/(x-1)^3 ogf] A004004 10.9421 [-2*(9*x+7)*(3*x-1)/(-1+x)/(3*x+1)/(-1+9*x) lgdogf] A004004 3.86975 [-(55408*f(x)-12261)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x+3*x^2-f(x)+x) ogf] A004004 4.10737 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=0,a(1)=1,a(2)=14} ogf] A004004 6.78609 [-(54*x^2+24*x-14)/(27*x^3-21*x^2-7*x+1) lgdogf] A004004 7.93627 [-x*(3*x+1)/(9*x-1)/(x-1)^2 ogf] A004005 4.54565 [-(405*x^3+69*x^2-89*x-1)/(25*x-1)/(9*x-1)^2/(x-1)^3 ogf] A004006 10.8041 [x*(x^2-x+1)/(x-1)^4 ogf] A004006 12.3234 [-(-2*x^2+x-3)/(-x^3+2*x^2-2*x+1) lgdogf] A004006 23.7628 [-x^5+x^2+x+3 ogf_with_Euler_transform] A004006 26.8005 [-(3-x+2*x^2)/(-1+x)/(x^2-x+1) lgdogf] A004006 4.04462 [{(n+3)*a(n+4)+(-7-2*n)*a(n+3)+(3+2*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A004006 5.75694 [-(5*f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+x^2+f(x)-x) ogf] A004008 99.9999 Evaluated at exp(-Pi) 9/2*Pi^(7/4)/GAMMA(3/4)^7 A004011 99.9999 Evaluated at exp(-Pi) 3/2*Pi/GAMMA(3/4)^4 A004017 29.5106 [-8/(-x-1) ogf_with_Euler_transform] A004018 11.7270 [-(2*x^2-2*x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A004018 99.9999 Evaluated at exp(-Pi) Pi^(1/2)/GAMMA(3/4)^2 A004020 32.8139 [-2/(-x-1) ogf_with_Euler_transform] A004020 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/4*Pi)*Pi^(1/2)*2^(3/4)/GAMMA(3/4)^2 A004024 15.2628 [-(-3*x^2-2*x-1)/(x^3+x^2+x+1) ogf_with_Euler_transform] A004024 99.9999 Evaluated at exp(-Pi) 1/4*exp(5/8*Pi)*Pi^(3/4)*2^(7/8)/GAMMA(3/4)^3 A004025 5.16223 [-(-3*x^6-x^5-4*x^4-2*x^3-x^2+x-2)/(x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A004025 99.9999 Evaluated at exp(-Pi) 1/32*exp(Pi)/Pi^(3/4)*2^(3/4)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^(1/2) A004040 4.94608 [f(x)^2*x^4+3*f(x)^2*x^3+3*f(x)^2*x^2+2*f(x)*x^3+f(x)^2*x+14*f(x)*x^2-14*f(x)*x+x^2+f(x)+11*x-1 ogf] A004041 3.88023 [{(-4*n^2-20*n-25)*a(n+1)+(4*n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=23} ogf] A004052 2.79599 [-(f(x)*x-f(x)+1)^3 ogf] A004054 10.4509 [-(3-2*x+12*x^3-17*x^2)/(-1+x)/(3*x-1)/(-1+2*x)/(1+x) lgdogf] A004054 10.4936 [-(x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A004054 4.92176 [{-a(n+3)+4*a(n+2)-a(n+1)-6*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A004054 5.34769 [(f(x)-57)*(6*f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A004054 6.78243 [-(12*x^3-17*x^2-2*x+3)/(6*x^4-5*x^3-5*x^2+5*x-1) lgdogf] A004057 4.33669 [-(9827*f(x)+14472)*(24*f(x)*x^4-2*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-f(x)-x+1) ogf] A004057 8.01058 [-(-7+34*x+72*x^4-100*x^3-11*x^2)/(-1+x)/(-1+4*x)/(3*x-1)/(-1+2*x)/(1+x) lgdogf] A004057 9.22406 [(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A004058 5.64922 [-6*(2-19*x-117*x^4-5*x^3+80*x^5+51*x^2)/(-1+x)/(-1+4*x)/(3*x-1)/(-1+2*x)/(5*x-1)/(1+x) lgdogf] A004058 6.63480 [-(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(x+1) ogf] A004068 10.1065 [x*(x^2+3*x+1)/(x-1)^4 ogf] A004068 11.3504 [-(2*x^2+11*x+7)/(x^3+2*x^2-2*x-1) lgdogf] A004068 21.3738 [-(7+11*x+2*x^2)/(-1+x)/(x^2+3*x+1) lgdogf] A004068 3.74506 [{(n+3)*a(n+4)+(-3+2*n)*a(n+3)+(-13-2*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=7,a(3)=23} ogf] A004068 5.30774 [-(15*f(x)+19)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-x) ogf] A004082 6.28626 [(x^8+5*x^7+6*x^6+6*x^5+7*x^4+6*x^3+6*x^2+6*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004083 8.17337 [(x^7+6*x^6+7*x^5+6*x^4+6*x^3+7*x^2+6*x+5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004084 6.73369 [(x+1)*(x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004112 10.6492 [x*(22*x^6+330*x^5+2*x^2+1)/(x-1)^2 ogf] A004112 10.9693 [2*(-1-2*x-825*x^4+44*x^6+429*x^5)/(-1+x)/(22*x^6+330*x^5+2*x^2+1) lgdogf] A004116 12.1206 [-(-3-6*x+x^4+2*x^3)/(-1+x)/(1+x)/(x^3-x-1) lgdogf] A004116 4.43916 [-(16*f(x)-205)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x-f(x)+x+1) ogf] A004116 8.58723 [(x^3-x-1)/(x+1)/(x-1)^3 ogf] A004119 10.9126 [-(-7*x^2+10*x-4)/(-6*x^4+11*x^3-4*x^2-2*x+1) lgdogf] A004119 15.2365 [-(3*x^2-x-1)/(2*x-1)/(x-1) ogf] A004119 18.4519 [-(4-10*x+7*x^2)/(-1+x)/(-1+2*x)/(3*x^2-x-1) lgdogf] A004119 7.91702 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=4,a(2)=7} ogf] A004119 8.32512 [-(f(x)+7)*(2*f(x)*x^2-3*f(x)*x+3*x^2+f(x)-x-1) ogf] A004120 10.9208 [(x^5-x-1)/(x-1)^3 ogf] A004120 15.4985 [(2*x^2-x-2)*(x^3-2*x^2-2)/(-1+x)/(x^5-x-1) lgdogf] A004120 8.76534 [-(2*x^5-5*x^4+2*x+4)/(-x^6+x^5+x^2-1) lgdogf] A004126 11.1034 [-(2*x^2+17*x+9)/(x^3+4*x^2-4*x-1) lgdogf] A004126 20.9038 [-(9+17*x+2*x^2)/(-1+x)/(x^2+5*x+1) lgdogf] A004126 5.15515 [-(91*f(x)+185)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-5*x^2+f(x)-x) ogf] A004126 9.88659 [x*(x^2+5*x+1)/(x-1)^4 ogf] A004138 11.8284 [-(2*x^4-4*x^3+x^2-1)/(x-1)/(2*x^4-x^3+x^2+x-1) ogf] A004142 11.9285 [-2*(5-18*x+36*x^3)/(3*x-1)/(-1+2*x)/(-1+6*x^2) lgdogf] A004142 4.13421 [(358*f(x)-34567)*(36*f(x)*x^4-60*f(x)*x^3+37*f(x)*x^2+6*x^3-10*f(x)*x+f(x)-x) ogf] A004142 8.08865 [-(72*x^3-36*x+10)/(36*x^4-30*x^3+5*x-1) lgdogf] A004142 8.08865 [-x*(6*x^2-1)/(3*x-1)^2/(2*x-1)^2 ogf] A004146 10.9861 [-(x+1)*x/(x-1)/(x^2-3*x+1) ogf] A004146 14.3331 [-(5-8*x+2*x^3-x^2)/(-1+x)/(1+x)/(x^2-3*x+1) lgdogf] A004146 5.64153 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A004146 5.85242 [(5*f(x)+1)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)+x) ogf] A004146 8.69736 [-(-2*x^3+x^2+8*x-5)/(-x^4+3*x^3-3*x+1) lgdogf] A004148 7.65736 [1/2+1/2/x+1/2*x-1/2*(x^2-x+1)^(1/2)/x*(x^2+3*x+1)^(1/2) revogf] A004148 9.94461 [-f(x)^2*x^2+f(x)*x^2-f(x)*x+f(x)-1 ogf] A004149 7.28746 [-f(x)^2*x^2+f(x)*x^3+f(x)*x^2-f(x)*x+f(x)-1 ogf] A004154 7.50136 [-(10+20*x+2*x^7+5*x^4+40*x^3+x^8+3*x^6+4*x^5+30*x^2)/(x^4+x^3+x^2+x+1)/(x^5-10) lgdegf] A004154 8.46311 [f(x)*(f(x)*x^5+10*x^4+10*x^3+10*x^2-10*f(x)+10*x+10) egf] A004154 8.52324 [-10*(x^4+x^3+x^2+x+1)/(x^5-10) egf] A004171 14.1136 [{a(n+1)-4*a(n),a(0)=2} ogf] A004171 17.9001 [-4*f(x)*x+f(x)-2 ogf] A004171 26.2109 [4/(-4*x+1) lgdogf] A004171 29.3562 [-2/(4*x-1) ogf] A004171 55.4638 [1/2*x/(1+2*x) revogf] A004171 65.5481 [-4/(-1+4*x) lgdogf] A004187 12.2763 [-f(x)*x^2+7*f(x)*x-f(x)+x ogf] A004187 15.0895 [-(2*x-7)/(x^2-7*x+1) lgdogf] A004187 16.6254 [-1/2*(-7*x-1+(9*x+1)^(1/2)*(5*x+1)^(1/2))/x revogf] A004187 21.9484 [x/(x^2-7*x+1) ogf] A004187 34.0425 [-(-7+2*x)/(x^2+1-7*x) lgdogf] A004187 8.94195 [{a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A004188 10.7474 [-(2*x^2+23*x+11)/(x^3+6*x^2-6*x-1) lgdogf] A004188 20.5417 [-(x+11)*(1+2*x)/(-1+x)/(x^2+7*x+1) lgdogf] A004188 4.99528 [-(765*f(x)+2153)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-7*x^2+f(x)-x) ogf] A004188 9.71685 [x*(x^2+7*x+1)/(x-1)^4 ogf] A004189 11.7433 [-(2*x-10)/(x^2-10*x+1) lgdogf] A004189 12.8484 [-1/2*(-1-10*x+(8*x+1)^(1/2)*(12*x+1)^(1/2))/x revogf] A004189 13.5349 [-f(x)*x^2+10*f(x)*x-f(x)+x ogf] A004189 17.2695 [x/(x^2-10*x+1) ogf] A004189 27.5322 [-2*(x-5)/(x^2+1-10*x) lgdogf] A004189 7.16052 [{a(n+2)-10*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A004190 11.0990 [-(2*x-11)/(x^2-11*x+1) lgdogf] A004190 12.0753 [-1/2*(-11*x-1+(9*x+1)^(1/2)*(13*x+1)^(1/2))/x revogf] A004190 16.3221 [1/(x^2-11*x+1) ogf] A004190 23.6256 [-(-11+2*x)/(x^2+1-11*x) lgdogf] A004190 6.60656 [(119*f(x)+2)*(f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A004190 6.60656 [{-a(n+2)+11*a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A004191 14.3196 [-(2*x-12)/(x^2-12*x+1) lgdogf] A004191 15.3043 [-1/2*(-12*x-1+(14*x+1)^(1/2)*(1+10*x)^(1/2))/x revogf] A004191 21.0582 [1/(x^2-12*x+1) ogf] A004191 31.9998 [-2*(-6+x)/(x^2+1-12*x) lgdogf] A004191 8.52356 [{-a(n+2)+12*a(n+1)-a(n),a(0)=1,a(1)=12} ogf] A004191 8.62627 [(71*f(x)+1)*(f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A004211 14.9021 [(-n-2)*a(n+2)+2*a(n+1),a(0)=1,a(1)=2 lgdegf] A004211 24.1025 [exp(2*x) lgdegf] A004212 14.6633 [(-n-2)*a(n+2)+3*a(n+1),a(0)=1,a(1)=3 lgdegf] A004212 23.7162 [exp(3*x) lgdegf] A004213 14.1023 [(-n-2)*a(n+2)+4*a(n+1),a(0)=1,a(1)=4 lgdegf] A004213 29.3035 [exp(4*x) lgdegf] A004216 12.9690 [(-3*x^2-2*x-1-5*x^4-4*x^3+90*x^87+90*x^88)/(-x^2-1-x+90*x^87-x^4-x^3+5*x^5) lgdogf] A004216 9.99377 [-x^9*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^90+x^6-1) ogf] A004218 10.4448 [-(-8*x^9+9*x^8+1)/(x^10-x^9+x-1) lgdogf] A004218 13.8727 [(-1+8*x^9-9*x^8)/(-1+x)/(1+x)/(x^2-x+1)/(x^6-x^3+1) lgdogf] A004218 17.1593 [-x*(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x-1) ogf] A004218 23.9551 [-x^17+x^8+1 ogf_with_Euler_transform] A004253 13.2571 [-(x-1)/(x^2-5*x+1) ogf] A004253 14.6052 [-1/2*(-5*x-1+(21*x^2+6*x+1)^(1/2))/(1+x) revogf] A004253 18.8454 [-(4-2*x+x^2)/(-1+x)/(x^2-5*x+1) lgdogf] A004253 6.70305 [-(9*f(x)-1)*(f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A004253 7.27526 [{a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=4} ogf] A004253 9.32142 [-(-x^2+2*x-4)/(-x^3+6*x^2-6*x+1) lgdogf] A004254 12.439 [-f(x)*x^2+5*f(x)*x-f(x)+x ogf] A004254 14.0003 [-1/2*(-5*x-1+(7*x+1)^(1/2)*(3*x+1)^(1/2))/x revogf] A004254 15.2897 [-(2*x-5)/(x^2-5*x+1) lgdogf] A004254 22.2395 [x/(x^2-5*x+1) ogf] A004254 28.6673 [-(-5+2*x)/(x^2-5*x+1) lgdogf] A004254 9.06056 [{a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A004255 12.7324 [-(-12*x^2-3)/(-4*x^3+6*x^2-3*x+1) lgdogf] A004255 23.0915 [-3*(4*x^2+1)/(-1+x)/(1-2*x+4*x^2) lgdogf] A004255 3.88338 [{(n+4)*a(n+4)+(-12-3*n)*a(n+3)+(6*n+12)*a(n+2)+(-16-4*n)*a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=25} ogf] A004255 9.83133 [-(4*x^2-2*x+1)/(x-1)^5 ogf] A004256 14.3541 [-4*(8+19*x+3*x^2)/(-1+x)/(3*x^2+14*x+3) lgdogf] A004256 6.12695 [x*(3*x^2+14*x+3)/(x-1)^6 ogf] A004256 8.25806 [-(12*x^2+76*x+32)/(3*x^3+11*x^2-11*x-3) lgdogf] A004271 13.3305 [x*(x^4+1)/(x-1)^2 ogf] A004271 20.6830 [2*(-1+x^4-2*x^3)/(-1+x)/(1+x^4) lgdogf] A004271 22.4208 [-x^7+x^3+2 ogf_with_Euler_transform] A004271 4.76785 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4,a(5)=6} ogf] A004271 9.60581 [-(2*x^4-4*x^3-2)/(-x^5+x^4-x+1) lgdogf] A004272 13.5548 [x*(x^2+1)*(x^4-x^2+1)/(x-1)^2 ogf] A004272 14.4913 [2*(-1+2*x^6-3*x^5)/(-1+x)/(x^2+1)/(x^4-x^2+1) lgdogf] A004272 22.0403 [-x^11+x^5+2 ogf_with_Euler_transform] A004272 4.12536 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4,a(5)=5,a(6)=6,a(7)=8} ogf] A004272 9.76740 [-(-4*x^6+6*x^5+2)/(x^7-x^6+x-1) lgdogf] A004273 11.0568 [f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-x) ogf] A004273 18.2775 [(x+1)*x/(x-1)^2 ogf] A004273 20.3545 [-(x+3)/(x^2-1) lgdogf] A004273 25.9701 [-1/2*(-1-2*x+(8*x+1)^(1/2))/(-1+x) revogf] A004273 42.4950 [[3-x] ogf_with_Euler_transform] A004273 46.4729 [-(x+3)/(-1+x)/(1+x) lgdogf] A004273 8.86732 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=3} ogf] A004274 13.3411 [-(-x^3+3*x^2+2)/(x^4-x^3+x-1) lgdogf] A004274 18.5142 [(x^2-x+1)*(x+1)*x/(x-1)^2 ogf] A004274 24.1767 [(-2+x^3-3*x^2)/(-1+x)/(1+x)/(x^2-x+1) lgdogf] A004274 31.1727 [-x^5+x^2+2 ogf_with_Euler_transform] A004274 7.25756 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=5} ogf] A004274 9.651 [-(12*f(x)+5)*(-x^4+f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A004275 11.4683 [-(-2*x-2)/(-x^3+x^2-x+1) lgdogf] A004275 13.1067 [x*(x^2+1)/(x-1)^2 ogf] A004275 22.0420 [[-x^3+x+2] ogf_with_Euler_transform] A004275 27.4026 [-2*(1+x)/(x^2+1)/(-1+x) lgdogf] A004275 5.68342 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=4} ogf] A004275 6.90566 [-(2*f(x)+1)*(f(x)*x^2-x^3-2*f(x)*x+f(x)-x) ogf] A004276 13.5118 [-(-3*x^5+5*x^4+2)/(x^6-x^5+x-1) lgdogf] A004276 18.7511 [x*(x+1)*(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A004276 19.2787 [(-2-5*x^4+3*x^5)/(-1+x)/(1+x)/(x^4-x^3+x^2-x+1) lgdogf] A004276 31.5736 [-x^9+x^4+2 ogf_with_Euler_transform] A004276 6.16646 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4,a(5)=5,a(6)=7} ogf] A004277 13.5554 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+1 ogf] A004277 16.2181 [-(2*x+2)/(x^3-x^2+x-1) lgdogf] A004277 18.5350 [(x^2+1)/(x-1)^2 ogf] A004277 31.2057 [[-x^3+x+2] ogf_with_Euler_transform] A004277 38.7563 [-2*(1+x)/(x^2+1)/(-1+x) lgdogf] A004277 8.90405 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A004278 13.1881 [(x^4+1)/(x-1)^2 ogf] A004278 20.3309 [2*(-1+x^4-2*x^3)/(-1+x)/(1+x^4) lgdogf] A004278 22.1789 [-x^7+x^3+2 ogf_with_Euler_transform] A004278 5.12869 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=6} ogf] A004278 7.97797 [f(x)*(-x^4+f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A004278 9.50316 [-(2*x^4-4*x^3-2)/(-x^5+x^4-x+1) lgdogf] A004279 13.4123 [(x^2+1)*(x^4-x^2+1)/(x-1)^2 ogf] A004279 14.2483 [2*(-1+2*x^6-3*x^5)/(-1+x)/(x^2+1)/(x^4-x^2+1) lgdogf] A004279 21.8064 [-x^11+x^5+2 ogf_with_Euler_transform] A004279 4.38135 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=6,a(6)=8} ogf] A004279 9.66474 [-(-4*x^6+6*x^5+2)/(x^7-x^6+x-1) lgdogf] A004280 13.2324 [-(-x^3+3*x^2+2)/(x^4-x^3+x-1) lgdogf] A004280 13.4299 [-f(x)*x^2+x^3+2*f(x)*x-f(x)+1 ogf] A004280 18.3633 [(x+1)*(x^2-x+1)/(x-1)^2 ogf] A004280 23.8645 [(-2+x^3-3*x^2)/(-1+x)/(1+x)/(x^2-x+1) lgdogf] A004280 30.9167 [-x^5+x^2+2 ogf_with_Euler_transform] A004280 7.89302 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A004281 13.1087 [-(-3*x^5+5*x^4+2)/(x^6-x^5+x-1) lgdogf] A004281 18.1917 [(x+1)*(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A004281 18.6080 [(-2-5*x^4+3*x^5)/(-1+x)/(1+x)/(x^4-x^3+x^2-x+1) lgdogf] A004281 30.6278 [-x^9+x^4+2 ogf_with_Euler_transform] A004281 6.45938 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=7} ogf] A004282 18.2428 [-4*(6+8*x+x^2)/(-1+x)/(x^2+6*x+3) lgdogf] A004282 6.65452 [x*(x^2+6*x+3)/(x-1)^6 ogf] A004282 9.27600 [-(-4*x^2-32*x-24)/(-x^3-5*x^2+3*x+3) lgdogf] A004291 12.0346 [-(12*x-12)/(x^3-9*x^2-9*x+1) lgdogf] A004291 12.9260 [(x+1)^2/(x^2-10*x+1) ogf] A004291 18.7376 [-12*(-1+x)/(1+x)/(x^2-10*x+1) lgdogf] A004291 6.58495 [{-a(n+3)+10*a(n+2)-a(n+1),a(0)=1,a(1)=12,a(2)=120} ogf] A004291 9.69452 [-f(x)*x^2+10*f(x)*x+x^2-f(x)+2*x+1 ogf] A004292 16.7311 [-20*(-1+x)/(1+x)/(x^2-18*x+1) lgdogf] A004292 4.68202 [{-a(n+3)+18*a(n+2)-a(n+1),a(0)=1,a(1)=20,a(2)=360} ogf] A004292 6.89296 [-f(x)*x^2+18*f(x)*x+x^2-f(x)+2*x+1 ogf] A004292 8.27157 [-(20*x-20)/(x^3-17*x^2-17*x+1) lgdogf] A004292 9.19063 [(x+1)^2/(x^2-18*x+1) ogf] A004293 10.4829 [-(28*x-28)/(x^3-25*x^2-25*x+1) lgdogf] A004293 11.6476 [(x+1)^2/(x^2-26*x+1) ogf] A004293 18.5477 [-28*(-1+x)/(1+x)/(x^2-26*x+1) lgdogf] A004293 5.93371 [{-a(n+3)+26*a(n+2)-a(n+1),a(0)=1,a(1)=28,a(2)=728} ogf] A004293 8.73574 [-f(x)*x^2+26*f(x)*x+x^2-f(x)+2*x+1 ogf] A004294 11.1912 [-(36*x-36)/(x^3-33*x^2-33*x+1) lgdogf] A004294 12.4346 [(x+1)^2/(x^2-34*x+1) ogf] A004294 17.0887 [-36*(-1+x)/(1+x)/(x^2-34*x+1) lgdogf] A004294 6.27543 [{-a(n+3)+34*a(n+2)-a(n+1),a(0)=1,a(1)=36,a(2)=1224} ogf] A004294 9.32599 [-f(x)*x^2+34*f(x)*x+x^2-f(x)+2*x+1 ogf] A004295 10.3048 [-(44*x-44)/(x^3-41*x^2-41*x+1) lgdogf] A004295 11.4498 [(x+1)^2/(x^2-42*x+1) ogf] A004295 18.0225 [-44*(-1+x)/(1+x)/(x^2-42*x+1) lgdogf] A004295 5.77839 [{-a(n+3)+42*a(n+2)-a(n+1),a(0)=1,a(1)=44,a(2)=1848} ogf] A004295 8.58732 [-f(x)*x^2+42*f(x)*x+x^2-f(x)+2*x+1 ogf] A004296 10.7207 [-(52*x-52)/(x^3-49*x^2-49*x+1) lgdogf] A004296 11.9119 [(x+1)^2/(x^2-50*x+1) ogf] A004296 18.7696 [-52*(-1+x)/(1+x)/(x^2-50*x+1) lgdogf] A004296 6.01160 [{-a(n+3)+50*a(n+2)-a(n+1),a(0)=1,a(1)=52,a(2)=2600} ogf] A004296 8.9339 [-f(x)*x^2+50*f(x)*x+x^2-f(x)+2*x+1 ogf] A004297 11.0442 [-(60*x-60)/(x^3-57*x^2-57*x+1) lgdogf] A004297 12.2713 [(x+1)^2/(x^2-58*x+1) ogf] A004297 19.3299 [-60*(-1+x)/(1+x)/(x^2-58*x+1) lgdogf] A004297 6.19298 [{-a(n+3)+58*a(n+2)-a(n+1),a(0)=1,a(1)=60,a(2)=3480} ogf] A004297 9.20345 [-f(x)*x^2+58*f(x)*x+x^2-f(x)+2*x+1 ogf] A004298 11.3676 [-(68*x-68)/(x^3-65*x^2-65*x+1) lgdogf] A004298 12.6307 [(x+1)^2/(x^2-66*x+1) ogf] A004298 16.9264 [-68*(-1+x)/(1+x)/(x^2-66*x+1) lgdogf] A004298 6.37436 [{-a(n+3)+66*a(n+2)-a(n+1),a(0)=1,a(1)=68,a(2)=4488} ogf] A004298 9.47301 [-f(x)*x^2+66*f(x)*x+x^2-f(x)+2*x+1 ogf] A004299 10.0198 [-(76*x-76)/(x^3-73*x^2-73*x+1) lgdogf] A004299 11.1331 [(x+1)^2/(x^2-74*x+1) ogf] A004299 17.2904 [-76*(-1+x)/(1+x)/(x^2-74*x+1) lgdogf] A004299 5.61857 [{-a(n+3)+74*a(n+2)-a(n+1),a(0)=1,a(1)=76,a(2)=5624} ogf] A004299 8.34982 [-f(x)*x^2+74*f(x)*x+x^2-f(x)+2*x+1 ogf] A004301 10.5544 [-(-29+136*x+144*x^4-78*x^3-149*x^2)/(-1+x)/(3*x-1)/(-1+2*x)/(6*x^2+x-3) lgdogf] A004301 7.02905 [-(144*x^4-78*x^3-149*x^2+136*x-29)/(36*x^5-60*x^4+7*x^3+33*x^2-19*x+3) lgdogf] A004301 7.90768 [-2*x*(6*x^2+x-3)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A004302 16.5336 [-12*(x^2+3*x+1)/(-1+x)/(3*x^2+6*x+1) lgdogf] A004302 6.58059 [x*(3*x^2+6*x+1)/(x-1)^6 ogf] A004302 9.03603 [-(12*x^2+36*x+12)/(3*x^3+3*x^2-5*x-1) lgdogf] A004305 7.40914 [-(-x^6+6*x^5-12*x^4+8*x^3+18*x^2-6*x+22)/(-x^7+7*x^6-20*x^5+30*x^4-22*x^3+7*x^2+2*x-3) lgdogf] A004305 7.57882 [(x^6-6*x^5+14*x^4-16*x^3+6*x^2-x-3)/(x-1)^7 ogf] A004306 5.46677 [(-1+12*x^9-120*x^7+90*x^4-40*x^3+30*x^10+3*x^8+12*x^6+12*x^5-6*x^2)/(-1+x)/(x^3+x^2+x-1)/(10*x^7+6*x^6+3*x^5-13*x^4-2*x^3+x-1) lgdogf] A004306 8.07815 [-(10*x^7+6*x^6+3*x^5-13*x^4-2*x^3+x-1)/(x-1)/(x^3+x^2+x-1) ogf] A004310 4.39764 [{(-4*n^2-46*n-132)*a(n+1)+(n^2+12*n+20)*a(n+2),a(0)=1,a(1)=10} ogf] A004310 7.48788 [(-2/(-1+4*x)^(1/2)*(9*x-2)+4*I)/x/(-1+4*x)^(1/2) lgdogf] A004310 9.67722 [-80+324*x+(8-68*x+144*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004311 4.11318 [{(-4*n^2-54*n-182)*a(n+1)+(n^2+14*n+24)*a(n+2),a(0)=1,a(1)=12} ogf] A004311 6.91015 [(-(22*x-5)/(-1+4*x)^(1/2)+5*I)/(-1+4*x)^(1/2)/x lgdogf] A004311 8.72894 [-120+484*x+(10-84*x+176*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004312 4.25584 [{(-4*n^2-62*n-240)*a(n+1)+(n^2+16*n+28)*a(n+2),a(0)=1,a(1)=14} ogf] A004312 7.14981 [(-2/(-1+4*x)^(1/2)*(13*x-3)+6*I)/x/(-1+4*x)^(1/2) lgdogf] A004312 8.88564 [-168+676*x+(12-100*x+208*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004313 3.97266 [{(-4*n^2-70*n-306)*a(n+1)+(n^2+18*n+32)*a(n+2),a(0)=1,a(1)=16} ogf] A004313 6.67407 [(-(30*x-7)/(-1+4*x)^(1/2)+7*I)/x/(-1+4*x)^(1/2) lgdogf] A004313 8.28436 [-224+900*x+(14-116*x+240*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004314 4.08950 [{(-4*n^2-78*n-380)*a(n+1)+(n^2+20*n+36)*a(n+2),a(0)=1,a(1)=18} ogf] A004314 6.87036 [(-2/(-1+4*x)^(1/2)*(17*x-4)+8*I)/x/(-1+4*x)^(1/2) lgdogf] A004314 8.39165 [-288+1156*x+(16-132*x+272*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004315 4.15960 [{(-4*n^2-86*n-462)*a(n+1)+(n^2+22*n+40)*a(n+2),a(0)=1,a(1)=20} ogf] A004315 6.98813 [(-(38*x-9)/(-1+4*x)^(1/2)+9*I)/x/(-1+4*x)^(1/2) lgdogf] A004315 8.53888 [-360+1444*x+(18-148*x+304*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004316 4.27645 [{(-4*n^2-94*n-552)*a(n+1)+(n^2+24*n+44)*a(n+2),a(0)=1,a(1)=22} ogf] A004316 7.08991 [(-2/(-1+4*x)^(1/2)*(21*x-5)+10*I)/x/(-1+4*x)^(1/2) lgdogf] A004316 8.78425 [-440+1764*x+(20-164*x+336*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004317 4.28914 [{(-4*n^2-102*n-650)*a(n+1)+(n^2+26*n+48)*a(n+2),a(0)=1,a(1)=24} ogf] A004317 7.07430 [(-(46*x-11)/(-1+4*x)^(1/2)+11*I)/(-1+4*x)^(1/2)/x lgdogf] A004317 8.88239 [-528+2116*x+(22-180*x+368*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004318 4.38188 [{(-4*n^2-110*n-756)*a(n+1)+(n^2+28*n+52)*a(n+2),a(0)=1,a(1)=26} ogf] A004318 7.32236 [(-2/(-1+4*x)^(1/2)*(25*x-6)+12*I)/(-1+4*x)^(1/2)/x lgdogf] A004318 9.07869 [-624+2500*x+(24-196*x+400*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A004319 12.9744 [hypergeom([4/3,5/3],[5/2],27/4*x) ogf] A004319 5.92534 [{(-27*n^2-135*n-168)*a(n+1)+(4*n^2+22*n+28)*a(n+2),a(0)=1,a(1)=6} ogf] A004319 9.64767 [-27*f(x)^3*x^4+4*f(x)^3*x^3+6*f(x)*x-f(x)+1 ogf] A004320 10.6976 [-x*(x+3)/(x-1)^5 ogf] A004320 16.3739 [-(4*x+16)/(x^2+2*x-3) lgdogf] A004320 34.7336 [-4*(x+4)/(x+3)/(-1+x) lgdogf] A004320 5.31338 [{(6+3*n)*a(n+3)+(-18-2*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=3,a(2)=16} ogf] A004321 3.54893 [{(27*n^3+378*n^2+1761*n+2730)*a(n+1)+(-4*n^3-58*n^2-256*n-312)*a(n+2),a(0)=1,a(1)=12} ogf] A004322 3.70493 [{(27*n^3+459*n^2+2598*n+4896)*a(n+1)+(-4*n^3-70*n^2-364*n-480)*a(n+2),a(0)=1,a(1)=15} ogf] A004323 3.80242 [{(27*n^3+540*n^2+3597*n+7980)*a(n+1)+(-4*n^3-82*n^2-490*n-684)*a(n+2),a(0)=1,a(1)=18} ogf] A004324 3.44182 [{(27*n^3+621*n^2+4758*n+12144)*a(n+1)+(-4*n^3-94*n^2-634*n-924)*a(n+2),a(0)=1,a(1)=21} ogf] A004325 3.47219 [{(27*n^3+702*n^2+6081*n+17550)*a(n+1)+(-4*n^3-106*n^2-796*n-1200)*a(n+2),a(0)=1,a(1)=24} ogf] A004326 3.52851 [{(27*n^3+783*n^2+7566*n+24360)*a(n+1)+(-4*n^3-118*n^2-976*n-1512)*a(n+2),a(0)=1,a(1)=27} ogf] A004327 3.54303 [{(27*n^3+864*n^2+9213*n+32736)*a(n+1)+(-4*n^3-130*n^2-1174*n-1860)*a(n+2),a(0)=1,a(1)=30} ogf] A004328 3.65002 [{(27*n^3+945*n^2+11022*n+42840)*a(n+1)+(-4*n^3-142*n^2-1390*n-2244)*a(n+2),a(0)=1,a(1)=33} ogf] A004329 3.70041 [{(27*n^3+1026*n^2+12993*n+54834)*a(n+1)+(-4*n^3-154*n^2-1624*n-2664)*a(n+2),a(0)=1,a(1)=36} ogf] A004330 3.33850 [{(27*n^3+1107*n^2+15126*n+68880)*a(n+1)+(-4*n^3-166*n^2-1876*n-3120)*a(n+2),a(0)=1,a(1)=39} ogf] A004331 3.70923 [{(-256*n^3-1920*n^2-4784*n-3960)*a(n+1)+(27*n^3+216*n^2+564*n+480)*a(n+2),a(0)=1,a(1)=8} ogf] A004332 3.68987 [{(256*n^3+2688*n^2+9392*n+10920)*a(n+1)+(-27*n^3-297*n^2-1032*n-1092)*a(n+2),a(0)=1,a(1)=12} ogf] A004333 2.99974 [{(-256*n^4-4736*n^3-32816*n^2-100936*n-116280)*a(n+1)+(27*n^4+513*n^3+3516*n^2+10092*n+9792)*a(n+2),a(0)=1,a(1)=16} ogf] A004334 2.98361 [{(-256*n^4-5760*n^3-48560*n^2-181800*n-255024)*a(n+1)+(27*n^4+621*n^3+5100*n^2+17172*n+18480)*a(n+2),a(0)=1,a(1)=20} ogf] A004335 2.98361 [{(-256*n^4-6784*n^3-67376*n^2-297224*n-491400)*a(n+1)+(27*n^4+729*n^3+6972*n^2+26844*n+31200)*a(n+2),a(0)=1,a(1)=24} ogf] A004344 3.76027 [{(3125*n^4+43750*n^3+229375*n^2+533750*n+465120)*a(n+1)+(-256*n^4-3712*n^3-19696*n^2-44952*n-36720)*a(n+2),a(0)=1,a(1)=15} ogf] A004396 10.3353 [-(-2*x^4-x^3-5*x^2-3*x-1)/(-x^5-x^3+x^2+1) lgdogf] A004396 15.2309 [x*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A004396 17.4558 [-(1+3*x+2*x^4+x^3+5*x^2)/(-1+x)/(x^2+1)/(x^2+x+1) lgdogf] A004396 26.2219 [-x^3+x^2+x+1 ogf_with_Euler_transform] A004396 7.05824 [{a(n+4)-a(n+3)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=2} ogf] A004396 8.42877 [-f(x)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+f(x)-x) ogf] A004400 3.67776 [{(-2*n^2-8*n-8)*a(n+1)+(-14-5*n)*a(n+2)+(2*n^2+14*n+26)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=12} ogf] A004402 9.82756 [-(x^2-x+2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A004402 99.9999 Evaluated at exp(-Pi) 1/Pi^(1/4)*GAMMA(3/4) A004403 11.8744 [-(2*x^2-2*x+4)/(x^3+x^2+x+1) ogf_with_Euler_transform] A004403 99.9999 Evaluated at exp(-Pi) 1/Pi^(1/2)*GAMMA(3/4)^2 A004404 99.9999 Evaluated at exp(-Pi) 1/Pi^(3/4)*GAMMA(3/4)^3 A004405 99.9999 Evaluated at exp(-Pi) 1/Pi*GAMMA(3/4)^4 A004406 9.40647 [-(5*x^2-5*x+10)/(x^3+x^2+x+1) ogf_with_Euler_transform] A004406 99.9999 Evaluated at exp(-Pi) 1/Pi^(5/4)*GAMMA(3/4)^5 A004407 99.9999 Evaluated at exp(-Pi) 1/Pi^(3/2)*GAMMA(3/4)^6 A004408 99.9999 Evaluated at exp(-Pi) 1/Pi^(7/4)*GAMMA(3/4)^7 A004409 99.9999 Evaluated at exp(-Pi) 1/Pi^2*GAMMA(3/4)^8 A004410 99.9999 Evaluated at exp(-Pi) 1/Pi^(9/4)*GAMMA(3/4)^9 A004411 10.6255 [-(-10*x^2+10*x-20)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A004411 99.9999 Evaluated at exp(-Pi) 1/Pi^(5/2)*GAMMA(3/4)^10 A004412 99.9999 Evaluated at exp(-Pi) 1/Pi^(11/4)*GAMMA(3/4)^11 A004413 99.9999 Evaluated at exp(-Pi) 1/Pi^3*GAMMA(3/4)^12 A004414 99.9999 Evaluated at exp(-Pi) 1/Pi^(13/4)*GAMMA(3/4)^13 A004415 99.9999 Evaluated at exp(-Pi) 1/Pi^(7/2)*GAMMA(3/4)^14 A004416 99.9999 Evaluated at exp(-Pi) 1/Pi^(15/4)*GAMMA(3/4)^15 A004417 99.9999 Evaluated at exp(-Pi) 1/Pi^4*GAMMA(3/4)^16 A004418 99.9999 Evaluated at exp(-Pi) 1/Pi^(17/4)*GAMMA(3/4)^17 A004419 99.9999 Evaluated at exp(-Pi) 1/Pi^(9/2)*GAMMA(3/4)^18 A004420 99.9999 Evaluated at exp(-Pi) 1/Pi^(19/4)*GAMMA(3/4)^19 A004421 99.9999 Evaluated at exp(-Pi) 1/Pi^5*GAMMA(3/4)^20 A004422 99.9999 Evaluated at exp(-Pi) 1/Pi^(21/4)*GAMMA(3/4)^21 A004423 99.9999 Evaluated at exp(-Pi) 1/Pi^(11/2)*GAMMA(3/4)^22 A004424 99.9999 Evaluated at exp(-Pi) 1/Pi^(23/4)*GAMMA(3/4)^23 A004425 99.9999 Evaluated at exp(-Pi) 1/Pi^6*GAMMA(3/4)^24 A004442 12.3910 [-(2*x^3+6*x)/(2*x^4-x^3-x^2+x-1) lgdogf] A004442 13.8129 [(2*x^2-x+1)/(x+1)/(x-1)^2 ogf] A004442 22.4293 [-2*x*(x^2+3)/(-1+x)/(1+x)/(2*x^2-x+1) lgdogf] A004442 7.32685 [-(f(x)-2)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)+x-1) ogf] A004442 7.59088 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A004443 10.3414 [-(3-9*x-x^4-6*x^3+3*x^5+18*x^2)/(-1+x)/(3*x^3-2*x^2-x+2)/(x^2+1) lgdogf] A004443 10.7406 [(3*x^3-2*x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A004443 4.24115 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=2,a(1)=3,a(2)=0,a(3)=1} ogf] A004443 5.86541 [-(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x+2*x^2+f(x)+x-2) ogf] A004444 8.75368 [(4*x^4-x^3-x^2-x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A004444 9.19238 [-2*(1+2*x^7-x^4+14*x^3+x^6-x^2)/(-1+x)/(1+x)/(x^2+1)/(4*x^4-x^3-x^2-x+3) lgdogf] A004445 7.92980 [(5*x^5-4*x^4-3*x+4)/(x^4+1)/(x-1)^2 ogf] A004445 8.70858 [-(5-3*x+5*x^9+66*x^4-32*x^3-3*x^8-30*x^5)/(-1+x)/(5*x^5-4*x^4-3*x+4)/(1+x^4) lgdogf] A004446 5.76097 [(6*x^6-x^5-3*x^4-2*x^2-x+5)/(x+1)/(x^4+1)/(x-1)^2 ogf] A004446 6.01683 [-2*(2+5*x+3*x^11+x^9-14*x^7-17*x^3+2*x^10-2*x^8+38*x^5-2*x^2)/(-1+x)/(1+x)/(6*x^6-x^5-3*x^4-2*x^2-x+5)/(1+x^4) lgdogf] A004447 4.78038 [(7*x^7-6*x^6+3*x^5-2*x^4-x^3+2*x^2-5*x+6)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A004448 9.77009 [(8*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+7)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A004449 8.17101 [-(9+9*x^17-7*x-126*x^9-128*x^7+258*x^8-7*x^16)/(-1+x)/(9*x^9-8*x^8-7*x+8)/(x^8+1) lgdogf] A004449 9.43610 [(9*x^9-8*x^8-7*x+8)/(x^8+1)/(x-1)^2 ogf] A004450 5.42501 [-2*(4-4*x^16-4*x^2+5*x^19+4*x^18-x^17+7*x-62*x^11+134*x^9-3*x^3-64*x^7)/(-1+x)/(1+x)/(10*x^10-x^9-7*x^8-6*x^2-x+9)/(x^8+1) lgdogf] A004450 6.70665 [(10*x^10-x^9-7*x^8-6*x^2-x+9)/(x+1)/(x^8+1)/(x-1)^2 ogf] A004451 4.29320 [(11*x^11-10*x^10+7*x^9-6*x^8-5*x^3+6*x^2-9*x+10)/(x^2+1)/(x^8+1)/(x-1)^2 ogf] A004452 5.20196 [(12*x^12-x^11-x^10-x^9-5*x^8-4*x^4-x^3-x^2-x+11)/(x+1)/(x^2+1)/(x^8+1)/(x-1)^2 ogf] A004453 4.63717 [(13*x^13-12*x^12+5*x^9-4*x^8-3*x^5+4*x^4-11*x+12)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A004456 4.41035 [(16*x^16-x^15-x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+15)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A004457 9.62440 [-(17+17*x^33-15*x^32-510*x^17-15*x+1026*x^16-512*x^15)/(-1+x)/(17*x^17-16*x^16-15*x+16)/(x^16+1) lgdogf] A004457 9.96697 [(17*x^17-16*x^16-15*x+16)/(x^16+1)/(x-1)^2 ogf] A004458 6.33988 [(18*x^18-x^17-15*x^16-14*x^2-x+17)/(x+1)/(x^16+1)/(x-1)^2 ogf] A004459 4.88858 [(19*x^19-18*x^18+15*x^17-14*x^16-13*x^3+14*x^2-17*x+18)/(x^2+1)/(x^16+1)/(x-1)^2 ogf] A004460 5.00929 [(20*x^20-x^19-x^18-x^17-13*x^16-12*x^4-x^3-x^2-x+19)/(x+1)/(x^2+1)/(x^16+1)/(x-1)^2 ogf] A004461 4.43445 [(21*x^21-20*x^20+13*x^17-12*x^16-11*x^5+12*x^4-19*x+20)/(x^4+1)/(x^16+1)/(x-1)^2 ogf] A004465 4.50836 [(25*x^25-24*x^24+9*x^17-8*x^16-7*x^9+8*x^8-23*x+24)/(x^8+1)/(x^16+1)/(x-1)^2 ogf] A004466 17.2706 [-2*(6+13*x+x^2)/(x-1)/(x^2+8*x+1) lgdogf] A004466 4.08747 [-(380*f(x)+1219)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-8*x^2+f(x)-x) ogf] A004466 7.95097 [x*(x^2+8*x+1)/(x-1)^4 ogf] A004466 8.79426 [-(2*x^2+26*x+12)/(x^3+7*x^2-7*x-1) lgdogf] A004467 16.8655 [-(13+29*x+2*x^2)/(x-1)/(x^2+9*x+1) lgdogf] A004467 4.11209 [-(385*f(x)+1387)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-9*x^2+f(x)-x) ogf] A004467 7.99886 [x*(x^2+9*x+1)/(x-1)^4 ogf] A004467 8.84723 [-(2*x^2+29*x+13)/(x^3+8*x^2-8*x-1) lgdogf] A004482 10.6468 [(3*x^3-2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A004482 11.1115 [-(2-2*x+3*x^5+4*x^3-x^4+12*x^2)/(x-1)/(x^2+x+1)/(3*x^3-2*x^2+x+1) lgdogf] A004482 4.50693 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=2,a(2)=0,a(3)=4} ogf] A004482 6.02156 [(51*f(x)+226)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A004483 12.2114 [(2*x^3+x^2-2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A004483 13.1728 [-x*(2+2*x^4-3*x^2+4*x^3+13*x)/(x-1)/(x^2+x+1)/(2*x^3+x^2-2*x+2) lgdogf] A004483 5.16925 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=2,a(1)=0,a(2)=1,a(3)=5} ogf] A004483 7.02156 [(7*f(x)+19)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)+2*x-2) ogf] A004484 5.03171 [(4*x^14-12*x^13+7*x^12+x^11+x^9+7*x^7-2*x^6-2*x^5-4*x^4+x^3+x^2+x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A004492 5.17072 [-(4-2*x-5*x^12-54*x^5-51*x^7+8*x^3-4*x^4-27*x^8+53*x^9-22*x^10+7*x^13+111*x^6)/(x-1)/(x^6+x^3+1)/(7*x^7-6*x^6-2*x^4+3*x^3-2*x+3) lgdogf] A004492 5.39226 [(7*x^7-6*x^6-2*x^4+3*x^3-2*x+3)/(x^6+x^3+1)/(x-1)^2 ogf] A004493 5.71214 [(9*x^9-2*x^8+x^7-5*x^6-2*x^5+x^4+4*x^3-2*x^2+x+4)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A004494 5.71214 [(8*x^9+x^8-2*x^7-5*x^6+x^5-2*x^4+4*x^3+x^2-2*x+5)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A004495 5.17072 [-(7-5*x-2*x^12-54*x^5-51*x^7+59*x^3-28*x^4-4*x^9+8*x^10+4*x^13-27*x^2+111*x^6)/(x-1)/(4*x^7-3*x^6+4*x^4-3*x^3-5*x+6)/(x^6+x^3+1) lgdogf] A004495 5.39226 [(4*x^7-3*x^6+4*x^4-3*x^3-5*x+6)/(x^6+x^3+1)/(x-1)^2 ogf] A004496 5.71214 [(6*x^9-2*x^8+x^7+4*x^6-2*x^5+x^4-5*x^3-2*x^2+x+7)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A004497 5.71214 [(5*x^9+x^8-2*x^7+4*x^6+x^5-2*x^4-5*x^3+x^2-2*x+8)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A004498 4.99284 [(19*x^19-18*x^18-8*x^10+9*x^9-8*x+9)/(x^18+x^9+1)/(x-1)^2 ogf] A004507 4.91995 [(10*x^19-9*x^18+10*x^10-9*x^9-17*x+18)/(x^18+x^9+1)/(x-1)^2 ogf] A004521 5.12100 [x*(13*x^10+2*x^9+2*x^8+2*x^7+2*x^6-9*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004522 7.41226 [-2*(1-9*x^11+7*x^12+27*x^5-10*x^6-15*x^4+3*x^10)/(x-1)/(x^2+1)/(7*x^6-6*x^5+1)/(x^4-x^2+1) lgdogf] A004522 8.13481 [2*x*(7*x^6-6*x^5+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A004523 11.5654 [-(-3*x^3-5*x^2-2*x-2)/(-x^4-x^3+x+1) lgdogf] A004523 13.6509 [x^2*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A004523 19.6240 [-(2+2*x+3*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A004523 33.1954 [x^2-x+2 ogf_with_Euler_transform] A004523 5.14016 [{(2*n+5)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-3)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A004523 9.35624 [f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x) ogf] A004524 14.0749 [-(-4*x^2+2*x-2)/(-x^3+x^2-x+1) lgdogf] A004524 18.3835 [x^3/(x^2+1)/(x-1)^2 ogf] A004524 30.9668 [[x^3-x+2] ogf_with_Euler_transform] A004524 32.0165 [-2*(1-x+2*x^2)/(x^2+1)/(x-1) lgdogf] A004524 4.66732 [{(-n-2)*a(n+1)+(n+1)*a(n+2)+(-n-2)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A004524 9.09891 [-f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+x^3+2*f(x)*x-f(x) ogf] A004525 12.4583 [x*(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A004525 18.6763 [-(1-x-3*x^3+2*x^4+5*x^2)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A004525 22.1140 [[-x^5+x^3+x^2+1] ogf_with_Euler_transform] A004525 4.66386 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A004525 6.838 [(f(x)+1)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)-x) ogf] A004525 9.47347 [-(-2*x^4+3*x^3-5*x^2+x-1)/(-x^5+2*x^4-3*x^3+3*x^2-2*x+1) lgdogf] A004526 10.7867 [f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x) ogf] A004526 19.8574 [-(-3*x-1)/(-x^2+1) lgdogf] A004526 21.3104 [x^2/(x+1)/(x-1)^2 ogf] A004526 41.4744 [[1+x] ogf_with_Euler_transform] A004526 43.2559 [-(1+3*x)/(x-1)/(x+1) lgdogf] A004526 7.94296 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A004533 99.9999 Evaluated at exp(-Pi) 5/8*Pi^3/GAMMA(3/4)^12 A004538 10.3300 [(x^2-8*x+1)/(x-1)^3 ogf] A004538 19.3482 [-(-5-14*x+x^2)/(x-1)/(x^2-8*x+1) lgdogf] A004538 5.52748 [(31*f(x)-140)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+8*x-1) ogf] A004538 5.57639 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=5,a(2)=17} ogf] A004538 9.69434 [-(x^2-14*x-5)/(x^3-9*x^2+9*x-1) lgdogf] A004643 13.8472 [-(2*x+1)/(10*x^2-1) ogf] A004643 15.3749 [1/4*(-1+(1+8*x+40*x^2)^(1/2))/(1+5*x) revogf] A004643 15.3749 [-2*(1+10*x+10*x^2)/(2*x+1)/(10*x^2-1) lgdogf] A004643 8.30834 [(35*f(x)-31)*(10*f(x)*x^2-f(x)+2*x+1) ogf] A004643 8.55269 [-(-20*x^2-20*x-2)/(-20*x^3-10*x^2+2*x+1) lgdogf] A004643 8.94743 [{-a(n+2)+10*a(n),a(0)=1,a(1)=2} ogf] A004647 10.2346 [-2*(1+4*x+20*x^4+20*x^3+15*x^2)/(4*x^2+2*x+1)/(10*x^3-1) lgdogf] A004647 11.7293 [-(4*x^2+2*x+1)/(10*x^3-1) ogf] A004647 7.61645 [{a(n+3)-10*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A004647 7.71668 [(5*f(x)-3)*(10*f(x)*x^3+4*x^2-f(x)+2*x+1) ogf] A004652 11.6738 [-(-2*x^3+x^2-4*x-1)/(-x^4+x^3-x+1) lgdogf] A004652 12.9309 [-x*(x^2-x+1)/(x+1)/(x-1)^3 ogf] A004652 20.7082 [-(1+4*x+2*x^3-x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A004652 25.3609 [-x^5+x^2+2*x+1 ogf_with_Euler_transform] A004652 7.00426 [-(23*f(x)-3)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)+x) ogf] A004655 10.6960 [-(2*x+1)*(4*x^2+1)/(10*x^4-1) ogf] A004655 6.97042 [{-a(n+4)+10*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A004655 7.75458 [-f(x)*(10*f(x)*x^4+8*x^3+4*x^2-f(x)+2*x+1) ogf] A004655 8.19601 [-2*(1+4*x+40*x^6+40*x^5+30*x^4+20*x^3+12*x^2)/(2*x+1)/(4*x^2+1)/(10*x^4-1) lgdogf] A004657 12.7322 [-x^7-x^5+2*x^3+x^2+2*x+1 ogf_with_Euler_transform] A004657 5.76082 [(x^2-x+1)*(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A004657 7.47534 [-(1+4*x+2*x^9-x^8+6*x^7+14*x^5-8*x^4+14*x^3)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1)/(1+x^4) lgdogf] A004663 10.8522 [-(20*f(x)-11)*(10*f(x)*x^2-f(x)+3*x+1) ogf] A004663 12.1044 [-1/10*10^(1/2)*(arcsinh(3)-arcsinh(3+10*x)) revegf] A004663 12.6913 [-(3*x+1)/(10*x^2-1) ogf] A004663 14.8712 [-(3+20*x+30*x^2)/(3*x+1)/(10*x^2-1) lgdogf] A004663 7.83872 [-(-30*x^2-20*x-3)/(-30*x^3-10*x^2+3*x+1) lgdogf] A004663 8.20051 [{-a(n+2)+10*a(n),a(0)=1,a(1)=3} ogf] A004669 10.2346 [-3*(1+6*x+30*x^4+20*x^3+10*x^2)/(10*x^3-1)/(9*x^2+3*x+1) lgdogf] A004669 11.7293 [-(9*x^2+3*x+1)/(10*x^3-1) ogf] A004669 7.61645 [{a(n+3)-10*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A004669 7.61647 [(20*f(x)+7)*(10*f(x)*x^3+9*x^2-f(x)+3*x+1) ogf] A004675 8.14992 [(f(x)-1)^2*(-6218175600*x^4+f(x)-1) ogf] A004695 15.1108 [x^3/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A004695 16.1803 [-(-1-2*x+5*x^4+4*x^3-3*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1) lgdogf] A004695 7.36167 [-f(x)*x^5-f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3+f(x)*x-f(x) ogf] A004695 8.97203 [-(-5*x^4-4*x^3+3*x^2+2*x+1)/(-x^5-x^4+x^3+x^2+x-1) lgdogf] A004696 7.44437 [x^4*(x^4+x^3+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A004697 9.06762 [-(-2+2*x+7*x^6-5*x^4+4*x^3-3*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A004697 9.56966 [x^5/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A004766 16.8561 [-(-x+9)/(-x^2+6*x-5) lgdogf] A004766 17.9799 [-(x-5)/(x-1)^2 ogf] A004766 22.6570 [-1/2*(-5-2*x+(25+16*x)^(1/2))/(1+x) revogf] A004766 41.7365 [-(-9+x)/(x-1)/(x-5) lgdogf] A004766 9.40809 [(8*f(x)+41)*(f(x)*x^2-2*f(x)*x+f(x)+x-5) ogf] A004766 9.86701 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=9} ogf] A004767 16.7723 [-(x+7)/(x^2+2*x-3) lgdogf] A004767 17.8904 [(x+3)/(x-1)^2 ogf] A004767 22.5420 [-1/2*(-3-2*x+(9+16*x)^(1/2))/(-1+x) revogf] A004767 43.8316 [-(7+x)/(x+3)/(x-1) lgdogf] A004767 9.36128 [(8*f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)-x-3) ogf] A004767 9.81793 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=7} ogf] A004768 10.9312 [(16*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)+x-9) ogf] A004768 11.5897 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=17} ogf] A004768 19.2389 [-(-x+17)/(-x^2+10*x-9) lgdogf] A004768 21.3765 [-(x-9)/(x-1)^2 ogf] A004768 27.0143 [-1/2*(-9-2*x+(81+32*x)^(1/2))/(1+x) revogf] A004768 45.0238 [-(-17+x)/(x-1)/(-9+x) lgdogf] A004769 10.8546 [(16*f(x)+185)*(f(x)*x^2-2*f(x)*x+f(x)+3*x-11) ogf] A004769 11.5006 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=19} ogf] A004769 18.9422 [-(-3*x+19)/(-3*x^2+14*x-11) lgdogf] A004769 21.0012 [-(3*x-11)/(x-1)^2 ogf] A004769 25.6652 [-1/2*(-11-2*x+(121+32*x)^(1/2))/(3+x) revogf] A004769 37.9844 [-(-19+3*x)/(x-1)/(3*x-11) lgdogf] A004770 16.7700 [-(3*x+13)/(3*x^2+2*x-5) lgdogf] A004770 18.2607 [(3*x+5)/(x-1)^2 ogf] A004770 22.3826 [-1/2*(-5-2*x+(25+32*x)^(1/2))/(-3+x) revogf] A004770 35.0337 [-(13+3*x)/(3*x+5)/(x-1) lgdogf] A004770 9.44518 [(16*f(x)+89)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-5) ogf] A004770 9.90036 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=13} ogf] A004771 16.7700 [-(x+15)/(x^2+6*x-7) lgdogf] A004771 18.2607 [(x+7)/(x-1)^2 ogf] A004771 22.3826 [-1/2*(-7-2*x+(49+32*x)^(1/2))/(-1+x) revogf] A004771 42.4092 [-(15+x)/(7+x)/(x-1) lgdogf] A004771 9.33785 [(16*f(x)+113)*(f(x)*x^2-2*f(x)*x+f(x)-x-7) ogf] A004771 9.90036 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=15} ogf] A004772 12.9182 [x*(x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A004772 15.6042 [-(3+5*x+2*x^4+4*x^3+10*x^2)/(x-1)/(x^2+x+1)/(x^2+x+2) lgdogf] A004772 5.12001 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=0,a(1)=2,a(2)=3,a(3)=4} ogf] A004772 6.93952 [-(56*f(x)+15)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-2*x) ogf] A004772 8.65652 [-(2*x^4+4*x^3+10*x^2+5*x+3)/(x^5+x^4+2*x^3-x^2-x-2) lgdogf] A004773 13.0932 [x*(2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A004773 15.5251 [-(2+6*x+4*x^4+5*x^3+7*x^2)/(x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A004773 5.18937 [{(-4*n-11)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+7)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=4} ogf] A004773 7.33668 [(5*f(x)+16)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-x) ogf] A004773 8.86517 [-(-4*x^4-5*x^3-7*x^2-6*x-2)/(-2*x^5-x^4-x^3+2*x^2+x+1) lgdogf] A004774 8.06497 [x*(x^8+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004775 7.94894 [x*(x^10+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004776 8.73012 [x*(x^6+x^5+2*x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004777 8.73012 [x*(2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004797 22.0976 [-(4+2*x)/(-x-1) ogf_with_Euler_transform] A004798 12.2047 [(x+1)^2/(x^2+x-1)^2 ogf] A004798 14.0354 [-(-2*x^2-4*x-4)/(-x^3-2*x^2+1) lgdogf] A004798 27.5931 [-2*(2+2*x+x^2)/(x+1)/(x^2+x-1) lgdogf] A004798 4.62707 [{(-n-4)*a(n+4)+4*a(n+3)+(8+2*n)*a(n+2)+(n+3)*a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=22} ogf] A004798 6.28453 [-(25*f(x)+1)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)-2*x-1) ogf] A004799 10.1963 [(2*x+1)^2/(x^2+x-1)^2 ogf] A004799 10.9929 [-(-4*x^2-4*x-6)/(-2*x^3-3*x^2+x+1) lgdogf] A004799 20.2848 [-2*(3+2*x+2*x^2)/(2*x+1)/(x^2+x-1) lgdogf] A004799 3.53540 [{(-n-4)*a(n+4)+(3-n)*a(n+3)+(10+3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=17,a(3)=38} ogf] A004799 5.37057 [(35*f(x)+26)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-4*x^2+f(x)-4*x-1) ogf] A004812 5.10326 [(190270091*x^14-185971319*x^13+51024*x^12-4204749*x-49908)/(4252*x^12-4159)/(x-1)^2 ogf] A004822 4.97848 [(1012228988*x^13-998540960*x^12+73953*x^11-13506824*x-72974)/(6723*x^11-6634)/(x-1)^2 ogf] A004823 4.98835 [(985251575*x^14-971751385*x^13+79608*x^12-13319075*x-78540)/(6634*x^12-6545)/(x-1)^2 ogf] A004830 11.4243 [-x*(x^2-x+1)*(x^21-x^19-x^18+x^16+x^15-x^13-x^12+x^10+x^9-x^7-x^6+x^4+x^3-x-1)/(x-1)^2 ogf] A004830 6.07203 [(2+21*x^23-43*x^22+22*x^21)/(x-1)/(x^2-x+1)/(x^21-x^19-x^18+x^16+x^15-x^13-x^12+x^10+x^9-x^7-x^6+x^4+x^3-x-1) lgdogf] A004919 6.16229 [x*(x^7+6*x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+6)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004920 4.25450 [x*(x^11+11*x^10+11*x^9+11*x^8+11*x^7+11*x^6+11*x^5+11*x^4+11*x^3+11*x^2+11*x+11)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004923 12.2837 [-(x+93)/(x^2+45*x-46) lgdogf] A004923 12.5294 [x*(x+46)/(x-1)^2 ogf] A004923 19.2337 [-(-23-x+(529+47*x)^(1/2))/(-1+x) revogf] A004923 30.7739 [-(93+x)/(x+46)/(x-1) lgdogf] A004923 6.08222 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=46,a(2)=93} ogf] A004923 7.28452 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-46*x) ogf] A004924 10.2309 [-f(x)*x^2+2*f(x)*x-f(x)+76*x ogf] A004924 16.1541 [76*x/(x-1)^2 ogf] A004924 21.5366 [19*x/(19+(361+19*x)^(1/2))^2 revogf] A004924 21.9234 [2/(-x+1) lgdogf] A004924 7.48605 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=76} ogf] A004924 75.3780 [-2/(x-1) lgdogf] A004925 10.9294 [-(x+245)/(x^2+121*x-122) lgdogf] A004925 11.5723 [x*(x+122)/(x-1)^2 ogf] A004925 17.0448 [-(-61-x+(3721+123*x)^(1/2))/(-1+x) revogf] A004925 26.3419 [-(245+x)/(x+122)/(x-1) lgdogf] A004925 5.62084 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=122,a(2)=245} ogf] A004925 6.78377 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-122*x) ogf] A004926 15.4065 [199*x/(x-1)^2 ogf] A004926 17.8845 [796*x/(199+(39601+796*x)^(1/2))^2 revogf] A004926 21.4591 [2/(-x+1) lgdogf] A004926 7.23920 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=199} ogf] A004926 73.7735 [-2/(x-1) lgdogf] A004926 9.85006 [-f(x)*x^2+2*f(x)*x-f(x)+199*x ogf] A004927 10.9709 [-(x+643)/(x^2+320*x-321) lgdogf] A004927 11.6162 [x*(x+321)/(x-1)^2 ogf] A004927 13.2239 [-1/2*(-321-2*x+(103041+1288*x)^(1/2))/(-1+x) revogf] A004927 26.4477 [-(643+x)/(x+321)/(x-1) lgdogf] A004927 5.64217 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=321,a(2)=643} ogf] A004927 6.80952 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-321*x) ogf] A004928 15.1071 [521*x/(x-1)^2 ogf] A004928 16.0772 [2084*x/(521+(271441+2084*x)^(1/2))^2 revogf] A004928 21.0420 [2/(-x+1) lgdogf] A004928 7.09851 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=521} ogf] A004928 72.3473 [-2/(x-1) lgdogf] A004928 9.65861 [-f(x)*x^2+2*f(x)*x-f(x)+521*x ogf] A004929 10.2654 [-(x+1685)/(x^2+841*x-842) lgdogf] A004929 11.0706 [x*(x+842)/(x-1)^2 ogf] A004929 14.9837 [-(-421-x+(177241+843*x)^(1/2))/(-1+x) revogf] A004929 24.1042 [-(1685+x)/(x+842)/(x-1) lgdogf] A004929 5.32641 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=842,a(2)=1685} ogf] A004929 6.48964 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-842*x) ogf] A004930 13.8901 [1364*x/(x-1)^2 ogf] A004930 16.0442 [341*x/(341+(116281+341*x)^(1/2))^2 revogf] A004930 19.8430 [2/(-x+1) lgdogf] A004930 6.61433 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1364} ogf] A004930 68.1878 [-2/(x-1) lgdogf] A004930 8.96135 [-f(x)*x^2+2*f(x)*x-f(x)+1364*x ogf] A004931 10.8790 [x*(x+2206)/(x-1)^2 ogf] A004931 13.8901 [-(-1103-x+(1216609+2207*x)^(1/2))/(-1+x) revogf] A004931 23.1502 [-(4413+x)/(x+2206)/(x-1) lgdogf] A004931 5.28697 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=2206,a(2)=4413} ogf] A004931 6.42847 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-2206*x) ogf] A004931 9.92467 [-(x+4413)/(x^2+2205*x-2206) lgdogf] A004932 13.0850 [14284*x/(3571+(12752041+14284*x)^(1/2))^2 revogf] A004932 13.6620 [3571*x/(x-1)^2 ogf] A004932 19.5172 [2/(-x+1) lgdogf] A004932 6.50573 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=3571} ogf] A004932 67.0605 [-2/(x-1) lgdogf] A004932 8.81422 [-f(x)*x^2+2*f(x)*x-f(x)+3571*x ogf] A004933 10.6481 [x*(x+5777)/(x-1)^2 ogf] A004933 11.3294 [-1/2*(-5777-2*x+(33373729+23112*x)^(1/2))/(-1+x) revogf] A004933 21.7525 [-(11555+x)/(x+5777)/(x-1) lgdogf] A004933 5.12686 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=5777,a(2)=11555} ogf] A004933 6.29205 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-5777*x) ogf] A004933 9.54657 [-(x+11555)/(x^2+5776*x-5777) lgdogf] A004934 13.1119 [37396*x/(9349+(87403801+37396*x)^(1/2))^2 revogf] A004934 13.6840 [9349*x/(x-1)^2 ogf] A004934 19.5486 [2/(-x+1) lgdogf] A004934 6.51620 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=9349} ogf] A004934 67.1983 [-2/(x-1) lgdogf] A004934 8.82839 [-f(x)*x^2+2*f(x)*x-f(x)+9349*x ogf] A004935 10.6349 [x*(x+15126)/(x-1)^2 ogf] A004935 13.1875 [-(-7563-x+(57198969+15127*x)^(1/2))/(-1+x) revogf] A004935 21.3030 [-(30253+x)/(x+15126)/(x-1) lgdogf] A004935 5.17111 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=15126,a(2)=30253} ogf] A004935 6.33315 [-f(x)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-15126*x) ogf] A004935 9.39418 [-(x+30253)/(x^2+15125*x-15126) lgdogf] A004940 4.41489 [x*(11*x^10+11*x^9+11*x^8+11*x^7+11*x^6+12*x^5+11*x^4+11*x^3+11*x^2+11*x+11)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004942 12.4291 [(58+14*x^13+13*x^15-27*x^14)/(x-1)/(x^15-x^14-29) lgdogf] A004943 15.1714 [1/47*x^23-1/47*x^22+2 egf]_with_Euler_transform] A004944 10.2309 [-f(x)*x^2+2*f(x)*x-f(x)+76*x ogf] A004944 16.1541 [76*x/(x-1)^2 ogf] A004944 21.5366 [19*x/(19+(361+19*x)^(1/2))^2 revogf] A004944 21.9234 [2/(-x+1) lgdogf] A004944 7.48605 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=76} ogf] A004944 75.3780 [-2/(x-1) lgdogf] A004945 15.1330 [123*x/(x-1)^2 ogf] A004945 17.5613 [492*x/(123+(15129+492*x)^(1/2))^2 revogf] A004945 21.0781 [2/(-x+1) lgdogf] A004945 7.11070 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=123} ogf] A004945 72.4403 [-2/(x-1) lgdogf] A004945 9.67521 [-f(x)*x^2+2*f(x)*x-f(x)+123*x ogf] A004946 15.4065 [199*x/(x-1)^2 ogf] A004946 17.8845 [796*x/(199+(39601+796*x)^(1/2))^2 revogf] A004946 21.4591 [2/(-x+1) lgdogf] A004946 7.23920 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=199} ogf] A004946 73.7735 [-2/(x-1) lgdogf] A004946 9.85006 [-f(x)*x^2+2*f(x)*x-f(x)+199*x ogf] A004947 15.1905 [322*x/(x-1)^2 ogf] A004947 17.6318 [322*x/(161+(25921+322*x)^(1/2))^2 revogf] A004947 21.1581 [2/(-x+1) lgdogf] A004947 7.13769 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=322} ogf] A004947 72.7312 [-2/(x-1) lgdogf] A004947 9.71194 [-f(x)*x^2+2*f(x)*x-f(x)+322*x ogf] A004948 15.1071 [521*x/(x-1)^2 ogf] A004948 16.0772 [2084*x/(521+(271441+2084*x)^(1/2))^2 revogf] A004948 21.0420 [2/(-x+1) lgdogf] A004948 7.09851 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=521} ogf] A004948 72.3473 [-2/(x-1) lgdogf] A004948 9.65861 [-f(x)*x^2+2*f(x)*x-f(x)+521*x ogf] A004949 10.7177 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=843} ogf] A004949 109.794 [-2/(x-1) lgdogf] A004949 14.583 [-f(x)*x^2+2*f(x)*x-f(x)+843*x ogf] A004949 22.8094 [843*x/(x-1)^2 ogf] A004949 24.3987 [3372*x/(843+(710649+3372*x)^(1/2))^2 revogf] A004949 31.7702 [2/(-x+1) lgdogf] A004950 13.8901 [1364*x/(x-1)^2 ogf] A004950 16.0442 [341*x/(341+(116281+341*x)^(1/2))^2 revogf] A004950 19.8430 [2/(-x+1) lgdogf] A004950 6.61433 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1364} ogf] A004950 68.1878 [-2/(x-1) lgdogf] A004950 8.96135 [-f(x)*x^2+2*f(x)*x-f(x)+1364*x ogf] A004951 14.1426 [2207*x/(x-1)^2 ogf] A004951 14.6212 [8828*x/(2207+(4870849+8828*x)^(1/2))^2 revogf] A004951 20.2038 [2/(-x+1) lgdogf] A004951 6.73460 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2207} ogf] A004951 69.4506 [-2/(x-1) lgdogf] A004951 9.12429 [-f(x)*x^2+2*f(x)*x-f(x)+2207*x ogf] A004952 13.0850 [14284*x/(3571+(12752041+14284*x)^(1/2))^2 revogf] A004952 13.6620 [3571*x/(x-1)^2 ogf] A004952 19.5172 [2/(-x+1) lgdogf] A004952 6.50573 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=3571} ogf] A004952 67.0605 [-2/(x-1) lgdogf] A004952 8.81422 [-f(x)*x^2+2*f(x)*x-f(x)+3571*x ogf] A004953 13.8425 [5778*x/(x-1)^2 ogf] A004953 15.9945 [642*x/(963+(927369+642*x)^(1/2))^2 revogf] A004953 19.7750 [2/(-x+1) lgdogf] A004953 6.59168 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=5778} ogf] A004953 67.9767 [-2/(x-1) lgdogf] A004953 8.93065 [-f(x)*x^2+2*f(x)*x-f(x)+5778*x ogf] A004954 13.1119 [37396*x/(9349+(87403801+37396*x)^(1/2))^2 revogf] A004954 13.6840 [9349*x/(x-1)^2 ogf] A004954 19.5486 [2/(-x+1) lgdogf] A004954 6.51620 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=9349} ogf] A004954 67.1983 [-2/(x-1) lgdogf] A004954 8.82839 [-f(x)*x^2+2*f(x)*x-f(x)+9349*x ogf] A004955 10.9984 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=15127} ogf] A004955 115.493 [-2/(x-1) lgdogf] A004955 14.839 [-f(x)*x^2+2*f(x)*x-f(x)+15127*x ogf] A004955 21.4872 [60508*x/(15127+(228826129+60508*x)^(1/2))^2 revogf] A004955 22.8015 [15127*x/(x-1)^2 ogf] A004955 33.3879 [2/(-x+1) lgdogf] A004959 6.67052 [x*(6*x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+7)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004960 4.41489 [x*(11*x^10+11*x^9+11*x^8+11*x^7+11*x^6+11*x^5+11*x^4+11*x^3+11*x^2+11*x+12)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A004963 10.4412 [-f(x)*x^2+2*f(x)*x-f(x)+47*x ogf] A004963 16.4860 [47*x/(x-1)^2 ogf] A004963 19.8541 [188*x/(47+(2209+188*x)^(1/2))^2 revogf] A004963 22.3739 [2/(-x+1) lgdogf] A004963 7.63987 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=47} ogf] A004963 76.9348 [-2/(x-1) lgdogf] A004964 11.8049 [-(-x+153)/(-x^2+78*x-77) lgdogf] A004964 12.2771 [-x*(x-77)/(x-1)^2 ogf] A004964 15.4621 [-1/2*(-77-2*x+(5929+304*x)^(1/2))/(1+x) revogf] A004964 27.4102 [-(-153+x)/(x-1)/(x-77) lgdogf] A004964 5.90246 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=77,a(2)=153} ogf] A004964 7.48605 [f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-77*x) ogf] A004965 15.1330 [123*x/(x-1)^2 ogf] A004965 17.5613 [492*x/(123+(15129+492*x)^(1/2))^2 revogf] A004965 21.0781 [2/(-x+1) lgdogf] A004965 7.11070 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=123} ogf] A004965 72.4403 [-2/(x-1) lgdogf] A004965 9.67521 [-f(x)*x^2+2*f(x)*x-f(x)+123*x ogf] A004966 11.1269 [-(-x+399)/(-x^2+201*x-200) lgdogf] A004966 11.7815 [-x*(x-200)/(x-1)^2 ogf] A004966 16.8625 [-(-100-x+(10000+199*x)^(1/2))/(1+x) revogf] A004966 25.6604 [-(-399+x)/(x-1)/(x-200) lgdogf] A004966 5.72242 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=200,a(2)=399} ogf] A004966 7.2392 [f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-200*x) ogf] A004967 15.1905 [322*x/(x-1)^2 ogf] A004967 17.6318 [322*x/(161+(25921+322*x)^(1/2))^2 revogf] A004967 21.1581 [2/(-x+1) lgdogf] A004967 7.13769 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=322} ogf] A004967 72.7312 [-2/(x-1) lgdogf] A004967 9.71194 [-f(x)*x^2+2*f(x)*x-f(x)+322*x ogf] A004968 10.7123 [-(-x+1043)/(-x^2+523*x-522) lgdogf] A004968 11.5525 [-x*(x-522)/(x-1)^2 ogf] A004968 16.5365 [-(-261-x+(68121+521*x)^(1/2))/(1+x) revogf] A004968 24.1158 [-(-1043+x)/(x-1)/(x-522) lgdogf] A004968 5.55826 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=522,a(2)=1043} ogf] A004968 7.0985 [f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-522*x) ogf] A004969 14.4769 [843*x/(x-1)^2 ogf] A004969 15.3999 [3372*x/(843+(710649+3372*x)^(1/2))^2 revogf] A004969 20.1642 [2/(-x+1) lgdogf] A004969 6.80240 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=843} ogf] A004969 69.2994 [-2/(x-1) lgdogf] A004969 9.25572 [-f(x)*x^2+2*f(x)*x-f(x)+843*x ogf] A004970 10.6847 [-x*(x-1365)/(x-1)^2 ogf] A004970 12.1223 [-1/2*(-1365-2*x+(1863225+5456*x)^(1/2))/(1+x) revogf] A004970 21.8201 [-(-2729+x)/(x-1)/(x-1365) lgdogf] A004970 5.19256 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=1365,a(2)=2729} ogf] A004970 6.61433 [f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-1365*x) ogf] A004970 9.74744 [-(-x+2729)/(-x^2+1366*x-1365) lgdogf] A004971 14.1426 [2207*x/(x-1)^2 ogf] A004971 14.6212 [8828*x/(2207+(4870849+8828*x)^(1/2))^2 revogf] A004971 20.2038 [2/(-x+1) lgdogf] A004971 6.73460 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2207} ogf] A004971 69.4506 [-2/(x-1) lgdogf] A004971 9.12429 [-f(x)*x^2+2*f(x)*x-f(x)+2207*x ogf] A004972 13.7560 [-(-1786-x+(3189796+3571*x)^(1/2))/(1+x) revogf] A004972 13.7683 [-(-x+7143)/(-x^2+3573*x-3572) lgdogf] A004972 15.0921 [-x*(x-3572)/(x-1)^2 ogf] A004972 21.4594 [-(-7143+x)/(x-1)/(x-3572) lgdogf] A004972 7.33450 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=3572,a(2)=7143} ogf] A004972 9.34275 [f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-3572*x) ogf] A004973 13.8425 [5778*x/(x-1)^2 ogf] A004973 15.9945 [642*x/(963+(927369+642*x)^(1/2))^2 revogf] A004973 19.7750 [2/(-x+1) lgdogf] A004973 6.59168 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=5778} ogf] A004973 67.9767 [-2/(x-1) lgdogf] A004973 8.93065 [-f(x)*x^2+2*f(x)*x-f(x)+5778*x ogf] A004974 10.5262 [-x*(x-9350)/(x-1)^2 ogf] A004974 13.4397 [-(-4675-x+(21855625+9349*x)^(1/2))/(1+x) revogf] A004974 20.6764 [-(-18699+x)/(x-1)/(x-9350) lgdogf] A004974 5.06816 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=9350,a(2)=18699} ogf] A004974 6.51619 [f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-9350*x) ogf] A004974 9.43726 [-(-x+18699)/(-x^2+9351*x-9350) lgdogf] A004975 10.9984 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=15127} ogf] A004975 115.493 [-2/(x-1) lgdogf] A004975 14.839 [-f(x)*x^2+2*f(x)*x-f(x)+15127*x ogf] A004975 21.4872 [60508*x/(15127+(228826129+60508*x)^(1/2))^2 revogf] A004975 22.8015 [15127*x/(x-1)^2 ogf] A004975 33.3879 [2/(-x+1) lgdogf] A004981 21.6378 [2/(-8*x+1) lgdogf] A004981 39.5788 [-2+(1-8*x)*f(x) lgdogf] A004981 5.77009 [{(-n-2)*a(n+2)+(10+8*n)*a(n+1),a(0)=1,a(1)=2} ogf] A004982 21.2911 [6/(-8*x+1) lgdogf] A004982 38.9445 [-6+(1-8*x)*f(x) lgdogf] A004982 5.67762 [{(-n-2)*a(n+2)+(14+8*n)*a(n+1),a(0)=1,a(1)=6} ogf] A004983 23.9641 [6/(8*x-1) lgdogf] A004983 45.4646 [-6+(-1+8*x)*f(x) lgdogf] A004983 6.45188 [{(n+2)*a(n+2)+(-2-8*n)*a(n+1),a(0)=1,a(1)=-6} ogf] A004984 22.7412 [2/(8*x-1) lgdogf] A004984 43.0814 [-2+(-1+8*x)*f(x) lgdogf] A004984 6.12263 [{(n+2)*a(n+2)+(-6-8*n)*a(n+1),a(0)=1,a(1)=-2} ogf] A004985 21.5899 [10/(-8*x+1) lgdogf] A004985 38.3828 [-10+(1-8*x)*f(x) lgdogf] A004985 5.90668 [{(-n-2)*a(n+2)+(18+8*n)*a(n+1),a(0)=1,a(1)=10} ogf] A004986 20.4080 [14/(-8*x+1) lgdogf] A004986 36.2534 [-14+(1-8*x)*f(x) lgdogf] A004986 5.58332 [{(-n-2)*a(n+2)+(22+8*n)*a(n+1),a(0)=1,a(1)=14} ogf] A004987 17.7678 [-9*f(x)^3*x+f(x)^3-1 ogf] A004987 20.8631 [3/(-9*x+1) lgdogf] A004987 5.56350 [{(-n-2)*a(n+2)+(12+9*n)*a(n+1),a(0)=1,a(1)=3} ogf] A004987 52.0168 [-3/(-1+9*x) lgdogf] A004988 10.5856 [81*f(x)^3*x^2-18*f(x)^3*x+f(x)^3-1 ogf] A004988 24.5736 [6/(-9*x+1) lgdogf] A004988 6.55297 [{(-n-2)*a(n+2)+(15+9*n)*a(n+1),a(0)=1,a(1)=6} ogf] A004988 61.4439 [-6/(-1+9*x) lgdogf] A004989 17.7423 [-81*x^2+18*x-1+f(x)^3 ogf] A004989 18.7233 [6/(9*x-1) lgdogf] A004989 5.04089 [{(n+2)*a(n+2)+(-3-9*n)*a(n+1),a(0)=1,a(1)=-6} ogf] A004989 56.9189 [6/(-1+9*x) lgdogf] A004990 19.4457 [-9*x+1-f(x)^3 ogf] A004990 21.5291 [3/(9*x-1) lgdogf] A004990 5.79630 [{(n+2)*a(n+2)+(-6-9*n)*a(n+1),a(0)=1,a(1)=-3} ogf] A004990 65.1527 [3/(-1+9*x) lgdogf] A004991 14.0542 [12/(-9*x+1) lgdogf] A004991 24.7800 [-12+(1-9*x)*f(x) lgdogf] A004991 3.84501 [{(-n-2)*a(n+2)+(21+9*n)*a(n+1),a(0)=1,a(1)=12} ogf] A004991 7.55588 [-6561*f(x)^3*x^4+2916*f(x)^3*x^3-486*f(x)^3*x^2+36*f(x)^3*x-f(x)^3+1 ogf] A004992 14.8190 [15/(-9*x+1) lgdogf] A004992 26.1663 [-15+(1-9*x)*f(x) lgdogf] A004992 4.05425 [{(-n-2)*a(n+2)+(24+9*n)*a(n+1),a(0)=1,a(1)=15} ogf] A004993 18.3564 [6/(-36*x+1) lgdogf] A004993 32.5779 [-6+(1-36*x)*f(x) lgdogf] A004993 5.02205 [{(-n-2)*a(n+2)+(42+36*n)*a(n+1),a(0)=1,a(1)=6} ogf] A004994 16.7899 [30/(-36*x+1) lgdogf] A004994 28.9921 [-30+(1-36*x)*f(x) lgdogf] A004994 4.70745 [{(-n-2)*a(n+2)+(66+36*n)*a(n+1),a(0)=1,a(1)=30} ogf] A004995 16.7280 [30/(36*x-1) lgdogf] A004995 29.5743 [-30+(-1+36*x)*f(x) lgdogf] A004995 4.73433 [{(n+2)*a(n+2)+(-6-36*n)*a(n+1),a(0)=1,a(1)=-30} ogf] A004996 15.5012 [6/(36*x-1) lgdogf] A004996 28.0363 [-6+(-1+36*x)*f(x) lgdogf] A004996 4.24091 [{(n+2)*a(n+2)+(-30-36*n)*a(n+1),a(0)=1,a(1)=-6} ogf] A004997 17.3315 [42/(-36*x+1) lgdogf] A004997 29.9478 [-42+(1-36*x)*f(x) lgdogf] A004997 4.85931 [{(-n-2)*a(n+2)+(78+36*n)*a(n+1),a(0)=1,a(1)=42} ogf] A004998 15.4825 [66/(-36*x+1) lgdogf] A004998 26.7011 [-66+(1-36*x)*f(x) lgdogf] A004998 4.30069 [{(-n-2)*a(n+2)+(102+36*n)*a(n+1),a(0)=1,a(1)=66} ogf] A005004 10.1339 [(x^2+x+1)*(x^3-x^2+x+1)/(x+1)/(x-1)^2 ogf] A005005 8.28211 [(x^2+x+1)*(x^4+x^3-x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A005009 13.3432 [{a(n+1)-2*a(n),a(0)=7} ogf] A005009 16.923 [-2*f(x)*x+f(x)-7 ogf] A005009 24.7802 [2/(-2*x+1) lgdogf] A005009 27.7538 [-7/(2*x-1) ogf] A005009 28.3433 [-1/2*ln(7)+1/2*ln(7+2*x) revegf] A005009 61.8400 [-2/(-1+2*x) lgdogf] A005010 12.6921 [{a(n+1)-2*a(n),a(0)=9} ogf] A005010 16.0973 [-2*f(x)*x+f(x)-9 ogf] A005010 23.5711 [2/(-2*x+1) lgdogf] A005010 26.3996 [-9/(2*x-1) ogf] A005010 32.3261 [-ln(3)+1/2*ln(9+2*x) revegf] A005010 58.7747 [-2/(-1+2*x) lgdogf] A005011 12.9306 [(-n-2)*a(n+2)+5*a(n+1),a(0)=1,a(1)=5 lgdegf] A005011 20.9552 [exp(5*x) lgdegf] A005012 13.9299 [6*a(n)+(-n-1)*a(n+1),a(0)=7,a(1)=6 lgdegf] A005012 28.5842 [exp(6*x) lgdegf] A005013 11.3747 [-(-1-8*x+2*x^5+3*x^4+4*x^3-3*x^2)/(x^2+x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A005013 13.2437 [x*(x^2+x+1)/(x^2+x-1)/(x^2-x-1) ogf] A005013 7.84335 [-(22*f(x)-17)*(f(x)*x^4-3*f(x)*x^2-x^3-x^2+f(x)-x) ogf] A005015 14.3839 [{a(n+1)-2*a(n),a(0)=11} ogf] A005015 18.1511 [-2*f(x)*x+f(x)-11 ogf] A005015 27.2266 [2/(-2*x+1) lgdogf] A005015 28.7927 [-1/2*ln(11)+1/2*ln(11+2*x) revegf] A005015 29.3210 [-11/(2*x-1) ogf] A005015 68.0554 [-2/(-1+2*x) lgdogf] A005021 11.7129 [-(3*x^2-12*x+5)/(x^3-6*x^2+5*x-1) lgdogf] A005021 18.6506 [-(5-12*x+3*x^2)/(-6*x^2-1+5*x+x^3) lgdogf] A005021 20.5767 [-1/(x^3-6*x^2+5*x-1) ogf] A005021 6.73751 [{a(n+3)-5*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A005021 7.538 [(286*f(x)-7)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A005022 10.6175 [-(13-56*x+8*x^4-40*x^3+74*x^2)/(x-1)/(-1+2*x)/(2*x-3)/(2*x^2-4*x+1) lgdogf] A005022 11.4960 [-2*(x-1)*(2*x-3)/(2*x-1)/(2*x^2-4*x+1) ogf] A005022 6.08611 [(3077*f(x)+1370)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-10*x+6) ogf] A005022 6.24352 [{a(n+3)-6*a(n+2)+10*a(n+1)-4*a(n),a(0)=6,a(1)=26,a(2)=100} ogf] A005022 6.96392 [-(-8*x^4+40*x^3-74*x^2+56*x-13)/(-8*x^5+40*x^4-74*x^3+62*x^2-23*x+3) lgdogf] A005023 4.70761 [-(229729153*f(x)+27741819)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2+x^3-7*f(x)*x-10*x^2+f(x)+15*x-7) ogf] A005023 8.22603 [-(34-190*x-20*x^5+130*x^4+x^6-314*x^3+362*x^2)/(x-1)/(x^3-9*x^2+6*x-1)/(x^3-10*x^2+15*x-7) lgdogf] A005023 9.29899 [-(x^3-10*x^2+15*x-7)/(x-1)/(x^3-9*x^2+6*x-1) ogf] A005024 4.37707 [(74236*f(x)+29157)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2+5*x^3-8*f(x)*x-20*x^2+f(x)+21*x-8) ogf] A005024 6.52694 [-(43-296*x-200*x^5+610*x^4+25*x^6-920*x^3+746*x^2)/(x^2-3*x+1)/(5*x^2-5*x+1)/(5*x^3-20*x^2+21*x-8) lgdogf] A005024 8.05163 [-(5*x^3-20*x^2+21*x-8)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A005025 7.41545 [-(x^4-15*x^3+35*x^2-28*x+9)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A005029 14.5783 [{a(n+1)-2*a(n),a(0)=13} ogf] A005029 18.3964 [-2*f(x)*x+f(x)-13 ogf] A005029 27.5946 [2/(-2*x+1) lgdogf] A005029 29.1889 [-1/2*ln(13)+1/2*ln(13+2*x) revegf] A005029 29.7172 [-13/(2*x-1) ogf] A005029 68.9920 [-2/(-1+2*x) lgdogf] A005030 14.5778 [{a(n+1)-3*a(n),a(0)=5} ogf] A005030 18.4888 [-3*f(x)*x+f(x)-5 ogf] A005030 27.0730 [3/(-3*x+1) lgdogf] A005030 30.3217 [-5/(3*x-1) ogf] A005030 31.0358 [-1/3*ln(5)+1/3*ln(5+3*x) revegf] A005030 67.7145 [-3/(-1+3*x) lgdogf] A005032 14.8313 [{a(n+1)-3*a(n),a(0)=7} ogf] A005032 18.8104 [-3*f(x)*x+f(x)-7 ogf] A005032 27.5438 [3/(-3*x+1) lgdogf] A005032 30.8491 [-7/(3*x-1) ogf] A005032 31.5851 [-1/3*ln(7)+1/3*ln(7+3*x) revegf] A005032 68.9130 [-3/(-1+3*x) lgdogf] A005043 10.0371 [-f(x)^2*x^2-f(x)^2*x+f(x)*x+f(x)-1 ogf] A005043 14.8627 [-(-x^2+x)/(-x^2+x-1) revogf] A005043 34.5490 [-x*(-1+x)/(1-x+x^2) revogf] A005043 5.18698 [{(3*n+6)*a(n+1)+(2*n+4)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A005044 10.9993 [-x^3/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A005044 15.3611 [-x*(3*x^2+x+2)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A005044 30.6250 [x^3+x^2+x ogf_with_Euler_transform] A005044 8.82121 [-(-9*x^5-9*x^4-11*x^3-5*x^2-2*x)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A005045 6.25649 [-(3+9*x+11*x^5+15*x^4+3*x^9-9*x^8-9*x^7-7*x^6+23*x^3+x^10+5*x^11+15*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6-x^5-x^3+x+1) lgdogf] A005045 6.37378 [-x^2*(x^6-x^5-x^3+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A005051 14.8947 [{a(n+1)-3*a(n),a(0)=8} ogf] A005051 18.8908 [-3*f(x)*x+f(x)-8 ogf] A005051 27.6615 [3/(-3*x+1) lgdogf] A005051 30.9809 [-8/(3*x-1) ogf] A005051 38.0670 [-ln(2)+1/3*ln(8+3*x) revegf] A005051 76.1339 [-3/(3*x-1) lgdogf] A005052 13.7086 [{a(n+1)-3*a(n),a(0)=10} ogf] A005052 17.2989 [-3*f(x)*x+f(x)-10 ogf] A005052 25.9484 [3/(-3*x+1) lgdogf] A005052 27.4432 [-1/3*ln(10)+1/3*ln(10+3*x) revegf] A005052 27.9445 [-10/(3*x-1) ogf] A005052 71.3524 [-3/(3*x-1) lgdogf] A005053 11.9751 [-5*f(x)*x+f(x)+2*x-1 ogf] A005053 14.5643 [(2*x-1)/(5*x-1) ogf] A005053 14.5643 [-3/(-10*x^2+7*x-1) lgdogf] A005053 15.4912 [1/4+5/4*x-1/4*(1+2*x+25*x^2)^(1/2) revogf] A005053 30.9825 [3/(5*x-1)/(2*x-1) lgdogf] A005053 7.48444 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=3} ogf] A005054 14.8112 [(x-1)/(5*x-1) ogf] A005054 15.2226 [-4/(-5*x^2+6*x-1) lgdogf] A005054 15.7599 [1/2+5/2*x-1/2*(1+6*x+25*x^2)^(1/2) revogf] A005054 16.2434 [-5*f(x)*x+f(x)+x-1 ogf] A005054 35.7224 [4/(5*x-1)/(x-1) lgdogf] A005054 7.61131 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=4} ogf] A005055 14.1097 [{a(n+1)-5*a(n),a(0)=7} ogf] A005055 17.8953 [-5*f(x)*x+f(x)-7 ogf] A005055 26.2038 [5/(-5*x+1) lgdogf] A005055 29.3482 [-7/(5*x-1) ogf] A005055 30.0484 [-1/5*ln(7)+1/5*ln(7+5*x) revegf] A005055 72.1163 [-5/(5*x-1) lgdogf] A005056 11.2083 [-2*(-2+12*x+3*x^4+12*x^3-23*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x^2+2*x-1) lgdogf] A005056 12.1464 [(x^2+2*x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A005056 6.43657 [-(f(x)+11)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-x^2-f(x)-2*x+1) ogf] A005056 6.60594 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=4,a(2)=12} ogf] A005056 7.45621 [-(6*x^4+24*x^3-46*x^2+24*x-4)/(6*x^5+x^4-22*x^3+22*x^2-8*x+1) lgdogf] A005057 12.2355 [-10*f(x)*x^2+7*f(x)*x-f(x)+3*x ogf] A005057 14.6826 [-(20*x-7)/(10*x^2-7*x+1) lgdogf] A005057 16.1021 [-1/20*(-7*x-3+(3+14*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A005057 19.3192 [3*x/(5*x-1)/(2*x-1) ogf] A005057 27.8691 [-(-7+20*x)/(5*x-1)/(2*x-1) lgdogf] A005057 8.95280 [{a(n+2)-7*a(n+1)+10*a(n),a(0)=0,a(1)=3} ogf] A005058 10.8994 [-(30*x-8)/(15*x^2-8*x+1) lgdogf] A005058 14.3413 [2*x/(5*x-1)/(3*x-1) ogf] A005058 15.7599 [-1/15*(-1-4*x+(1+8*x+x^2)^(1/2))/x revogf] A005058 19.1370 [-2*(-4+15*x)/(5*x-1)/(3*x-1) lgdogf] A005058 6.64596 [{a(n+2)-8*a(n+1)+15*a(n),a(0)=0,a(1)=2} ogf] A005058 9.08283 [-15*f(x)*x^2+8*f(x)*x-f(x)+2*x ogf] A005059 11.8118 [-15*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A005059 13.9883 [-1/30*(-1-8*x+(1+16*x+4*x^2)^(1/2))/x revogf] A005059 14.1741 [-(30*x-8)/(15*x^2-8*x+1) lgdogf] A005059 18.4846 [-2*(-4+15*x)/(5*x-1)/(3*x-1) lgdogf] A005059 20.8443 [x/(5*x-1)/(3*x-1) ogf] A005059 8.64274 [{a(n+2)-8*a(n+1)+15*a(n),a(0)=0,a(1)=1} ogf] A005060 10.8385 [-(40*x-9)/(20*x^2-9*x+1) lgdogf] A005060 15.2226 [-1/40*(-9*x-1+(x^2+18*x+1)^(1/2))/x revogf] A005060 15.9390 [x/(5*x-1)/(4*x-1) ogf] A005060 20.4920 [-(-9+40*x)/(5*x-1)/(4*x-1) lgdogf] A005060 6.60884 [{a(n+2)-9*a(n+1)+20*a(n),a(0)=0,a(1)=1} ogf] A005060 9.03208 [-20*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A005061 11.7894 [-(24*x-7)/(12*x^2-7*x+1) lgdogf] A005061 16.5733 [-1/24*(-1-7*x+(1+14*x+x^2)^(1/2))/x revogf] A005061 17.3374 [x/(3*x-1)/(4*x-1) ogf] A005061 22.3102 [-(-7+24*x)/(4*x-1)/(3*x-1) lgdogf] A005061 7.18868 [{a(n+2)-7*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A005061 9.82455 [-12*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A005062 10.1970 [-(60*x-11)/(30*x^2-11*x+1) lgdogf] A005062 14.4794 [-1/60*(-1-11*x+(1+22*x+x^2)^(1/2))/x revogf] A005062 15.1498 [x/(6*x-1)/(5*x-1) ogf] A005062 19.3058 [-(-11+60*x)/(6*x-1)/(5*x-1) lgdogf] A005062 6.38848 [{a(n+2)-11*a(n+1)+30*a(n),a(0)=0,a(1)=1} ogf] A005062 8.69253 [-30*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A005102 4.75453 [(x^14-x^13+x^12+x^11-x^10-x^9+x^8+x^7+x^6-x^3-x^2-x-1)/(x-1) ogf] A005120 6.35892 [x*(x^2+x+1)^2/(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1) ogf] A005120 8.25806 [-(2*x+1)*(x^6+3*x^5+6*x^4+7*x^3+4*x^2+x+1)/(x^2+x+1)/(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1) lgdogf] A005126 13.0071 [-(x^2-4*x+2)/(2*x-1)/(x-1)^2 ogf] A005126 16.5814 [-2*(-2+7*x+x^3-7*x^2)/(x-1)/(2*x-1)/(x^2-4*x+2) lgdogf] A005126 7.08421 [(5*f(x)-33)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)-4*x+2) ogf] A005126 7.08421 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=4,a(2)=7} ogf] A005126 9.33448 [-(-2*x^3+14*x^2-14*x+4)/(-2*x^4+11*x^3-17*x^2+10*x-2) lgdogf] A005131 8.01922 [-x*(x+1)*(x^5-5*x^4+8*x^3-7*x^2-x-2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^3-x^2-x-1) lgdogf] A005131 8.07771 [-(x^2-x+1)*(x^3-x^2-x-1)/(x^2+x+1)^2/(x-1)^2 ogf] A005138 2.87901 [(f(x)*x-f(x)+x)^3 ogf] A005151 3.65631 [(9899010*x^12+9900990*x^11-10001000*x^10-31007101*x^9+98010*x^8+99990*x^7-101000*x^6-208101*x^5-2000*x^4-1091*x^3-10*x^2-10*x-1)/(x-1) ogf] A005152 6.21611 [x*(x^10-2*x^9+2*x^8-x^7+x^4-x^3+x^2+1)/(x-1)^2 ogf] A005159 10.0985 [6/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A005159 15.2709 [-1+f(x)-3*f(x)^2*x ogf] A005159 17.5464 [6/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A005159 5.90668 [{(-12*n-18)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A005159 55.8295 [-x*(-1+3*x) revogf] A005165 4.90383 [{(n+3)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A005170 2.19831 [-(f(x)*x^2+f(x)*x-f(x)-x+1)^2 ogf] A005172 22.3777 [-x+ln(2*x+1) revegf] A005172 64.2869 [-x+ln(1+2*x) revegf] A005173 10.8776 [-x*(6*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A005173 11.2953 [-2*(6-11*x+36*x^3-24*x^2)/(x-1)/(3*x-1)/(2*x-1)/(6*x+1) lgdogf] A005173 5.2575 [-(63863*f(x)-42330)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+6*x^2-f(x)+x) ogf] A005173 5.58319 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A005173 7.60120 [-(72*x^3-48*x^2-22*x+12)/(36*x^4-60*x^3+25*x^2-1) lgdogf] A005174 4.63207 [-(78120745*f(x)+58666596)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-24*x^3-10*f(x)*x-10*x^2+f(x)) ogf] A005174 9.44940 [2*x^2*(12*x+5)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A005175 7.67542 [-x^2*(120*x^2+86*x+3)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A005178 10.0991 [-x*(x-1)*(x+1)/(x^4-x^3-5*x^2-x+1) ogf] A005178 10.4266 [-(1+8*x-x^4+2*x^5-4*x^3+4*x^2)/(x-1)/(x+1)/(x^4-x^3-5*x^2-x+1) lgdogf] A005178 6.37325 [-f(x)*x^4+f(x)*x^3+5*f(x)*x^2-x^3+f(x)*x-f(x)+x ogf] A005183 12.8971 [-(3*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A005183 13.8130 [-(-2+6*x+6*x^3-9*x^2)/(x-1)/(2*x-1)/(1+3*x^2-3*x) lgdogf] A005183 7.02431 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A005183 8.83957 [-4*f(x)*x^3+8*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+3*x-1 ogf] A005183 9.59418 [-(6*x^3-9*x^2+6*x-2)/(6*x^4-15*x^3+14*x^2-6*x+1) lgdogf] A005207 4.50552 [-(16*f(x)+3)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x-x^2-f(x)-2*x+1) ogf] A005207 8.30886 [-(x^3-x^2-2*x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A005207 8.70074 [-(2-8*x-x^4+x^6-2*x^5+4*x^3+7*x^2)/(x^2-3*x+1)/(x^2+x-1)/(x^3-x^2-2*x+1) lgdogf] A005212 11.7764 [f(x)*x^2-f(x)+x egf] A005212 13.4120 [2*x/(-x^2+1) lgdegf] A005212 16.6494 [-x/(x-1)/(x+1) egf] A005212 19.6847 [1/2/x*(-1+(4*x^2+1)^(1/2)) revegf] A005212 31.9876 [-2*x/(x-1)/(x+1) lgdegf] A005212 4.55502 [{(-n^2-5*n-6)*a(n+1)+a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A005232 14.2799 [-(1+4*x-5*x^4+6*x^5+10*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A005232 20.1386 [-x^5+x^3+x^2+2*x+1 ogf_with_Euler_transform] A005232 8.55423 [-(-6*x^5+5*x^4-10*x^3-4*x-1)/(-x^6+x^5-x^4+x^2-x+1) lgdogf] A005232 9.76188 [(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A005246 10.2597 [-(1+2*x+5*x^4+2*x^6+6*x^5-4*x^3-2*x^2)/(2*x+1)/(x^2+x-1)/(x^4-4*x^2+1) lgdogf] A005246 11.2677 [-(2*x+1)*(x^2+x-1)/(x^4-4*x^2+1) ogf] A005246 7.18041 [(10*f(x)-3)*(f(x)*x^4-4*f(x)*x^2+2*x^3+3*x^2+f(x)-x-1) ogf] A005247 11.3045 [-(x^3+3*x^2-x-2)/(x^2+x-1)/(x^2-x-1) ogf] A005247 12.0040 [-(1+6*x+x^6+6*x^5-8*x^3)/(x^2+x-1)/(x^2-x-1)/(x^3+3*x^2-x-2) lgdogf] A005247 6.86722 [-(22*f(x)-17)*(f(x)*x^4-3*f(x)*x^2+x^3+3*x^2+f(x)-x-2) ogf] A005248 12.0873 [-(-3*x^2+4*x-3)/(-3*x^3+11*x^2-9*x+2) lgdogf] A005248 17.4595 [-(3*x-2)/(x^2-3*x+1) ogf] A005248 22.7080 [-(3-4*x+3*x^2)/(3*x-2)/(x^2-3*x+1) lgdogf] A005248 8.82783 [-(5*f(x)-1)*(f(x)*x^2-3*f(x)*x+f(x)+3*x-2) ogf] A005248 9.58143 [{a(n+2)-3*a(n+1)+a(n),a(0)=2,a(1)=3} ogf] A005251 12.6699 [x*(x-1)/(x^3-x^2+2*x-1) ogf] A005251 16.5431 [-(-1+2*x+2*x^3-4*x^2)/(x-1)/(x^3-x^2+2*x-1) lgdogf] A005251 6.50616 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A005251 7.26111 [-(f(x)+1)*(f(x)*x^3-f(x)*x^2+2*f(x)*x-x^2-f(x)+x) ogf] A005251 9.02730 [-(-2*x^3+4*x^2-2*x+1)/(-x^4+2*x^3-3*x^2+3*x-1) lgdogf] A005252 13.9630 [(x-1)/(x^2-x+1)/(x^2+x-1) ogf] A005252 14.2232 [-(-1+2*x+3*x^4-4*x^3-x^2)/(x-1)/(x^2-x+1)/(x^2+x-1) lgdogf] A005252 7.18485 [(f(x)-1)*(f(x)*x^4-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A005252 7.70874 [-(-3*x^4+4*x^3+x^2-2*x+1)/(-x^5+x^4+x^3-3*x^2+3*x-1) lgdogf] A005253 13.1738 [-(x^4-x+1)/(x^5-x^2+2*x-1) ogf] A005253 6.98782 [-(f(x)-2)*(f(x)*x^5+x^4-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A005253 8.37957 [-(1-2*x-x^4-2*x^5+x^8+4*x^3+x^2)/(x^4-x+1)/(x^5-x^2+2*x-1) lgdogf] A005258 3.93393 [{(-n^2-4*n-4)*a(n+1)+(-11*n^2-55*n-69)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=3,a(2)=19} ogf] A005259 3.20845 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(34*n^3+255*n^2+639*n+535)*a(n+2)+(-n^3-9*n^2-27*n-27)*a(n+3),a(0)=1,a(1)=5,a(2)=73} ogf] A005262 10.4447 [-(4*x^3+x^2+1)/(2*x-1)/(x+1)/(x-1)^2 ogf] A005262 10.8493 [-(-3-3*x+12*x^4+8*x^5+13*x^3-3*x^2)/(x-1)/(2*x-1)/(x+1)/(4*x^3+x^2+1) lgdogf] A005262 3.83147 [{(6*n+16)*a(n+1)+(-3*n-2)*a(n+2)+(-6*n-13)*a(n+3)+(3*n+5)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=25} ogf] A005262 5.48534 [(1203*f(x)-3790)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+4*x^3+3*f(x)*x+x^2-f(x)+1) ogf] A005262 7.19305 [-(8*x^5+12*x^4+13*x^3-3*x^2-3*x-3)/(8*x^6-2*x^5-9*x^4+4*x^3-2*x+1) lgdogf] A005264 24.3902 [-exp(-x)*(exp(x)-1-2*x) revegf] A005264 6.22074 [(-1/(2*x+1)*exp(x)+1)*(2*exp(-x)*x+exp(-x)) revegf] A005286 10.4807 [(x^3-3*x^2+2*x+1)/(x-1)^4 ogf] A005286 10.6186 [-(-x^3+3*x^2-6)/(-x^4+4*x^3-5*x^2+x+1) lgdogf] A005286 20.8365 [-(6+x^3-3*x^2)/(x-1)/(x^3-3*x^2+2*x+1) lgdogf] A005286 4.43413 [{(-n^2-21*n-38)*a(n+1)+(-8*n^2-60*n-124)*a(n+2)+(9*n^2+51*n+72)*a(n+3),a(0)=1,a(1)=6,a(2)=15} ogf] A005286 5.72349 [(242*f(x)+351)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-2*x-1) ogf] A005287 16.6392 [-(x-2)*(x^3-6*x+10)/(x-1)/(x^4-3*x^3+x^2+5*x-5) lgdogf] A005287 8.04846 [-(-x^4+2*x^3+6*x^2-22*x+20)/(-x^5+4*x^4-4*x^3-4*x^2+10*x-5) lgdogf] A005287 8.38735 [(x^4-3*x^3+x^2+5*x-5)/(x-1)^5 ogf] A005288 5.44539 [(x^6-3*x^5-x^4+13*x^3-16*x^2+4*x+3)/(x-1)^6 ogf] A005288 8.23229 [-(22-12*x-17*x^4+3*x^5+35*x^3-25*x^2)/(x-1)/(x^6-3*x^5-x^4+13*x^3-16*x^2+4*x+3) lgdogf] A005289 5.14691 [x^2*(3*x^3+x^2+x+1)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A005289 6.10472 [-(3*x^2+2*x+1)*(7*x^4+8*x^3+9*x^2+8*x+4)/(x-1)/(x+1)/(x^2+x+1)/(3*x^3+x^2+x+1) lgdogf] A005303 8.97684 [-(x^5-x^3-4*x^2-2*x)/(-x^2+1) ogf_with_Euler_transform] A005308 18.2483 [-x^3/(-x^3+x^2+x-1) ogf_with_Euler_transform] A005309 12.7479 [-(-x^3-4*x^2-2*x)/(x^4-2*x^2+1) ogf_with_Euler_transform] A005313 5.57093 [(x^3-3*x^2-x+1)/(x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A005313 6.22726 [-(3-9*x+9*x^4+2*x^6-11*x^5+14*x^3)/(x-1)/(x+1)/(x^2-3*x+1)/(x^3-3*x^2-x+1) lgdogf] A005314 10.4876 [-f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-x ogf] A005314 12.6179 [-(-3*x^2+2*x-2)/(-x^3+x^2-2*x+1) lgdogf] A005314 17.9454 [-x/(x^3-x^2+2*x-1) ogf] A005314 25.6978 [-(2-2*x+3*x^2)/(-x^2-1+2*x+x^3) lgdogf] A005314 7.27518 [{-a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A005317 4.24015 [{(-8*n^2-28*n-24)*a(n+1)+(6*n^2+22*n+18)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A005317 5.67479 [-16*f(x)^2*x^3+20*f(x)^2*x^2-8*f(x)^2*x-8*f(x)*x^2+f(x)^2+6*f(x)*x-x^2-f(x) ogf] A005319 10.9496 [-f(x)*x^2+6*f(x)*x-f(x)+4*x ogf] A005319 13.4589 [-(2*x-6)/(x^2-6*x+1) lgdogf] A005319 16.3270 [-(-2-3*x+2*(2*x+1)^(1/2)*(1+x)^(1/2))/x revogf] A005319 17.4602 [4*x/(x^2-6*x+1) ogf] A005319 30.3216 [-2*(-3+x)/(x^2+1-6*x) lgdogf] A005319 7.97564 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A005320 11.9644 [-1/2*(-3-4*x+(2*x+1)^(1/2)*(3+2*x)^(1/2)*3^(1/2))/x revogf] A005320 12.9108 [-(2*x-4)/(x^2-4*x+1) lgdogf] A005320 16.7492 [3*x/(x^2-4*x+1) ogf] A005320 16.9483 [-f(x)*x^2+4*f(x)*x-f(x)+3*x ogf] A005320 29.0565 [-2*(-2+x)/(x^2+1-4*x) lgdogf] A005320 7.65086 [{a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A005322 11.6835 [-3/x+3*I/x/(x+1)^(1/2)/(3*x-1)^(1/2) lgdogf] A005322 14.2951 [-18-27*x+(6-12*x-18*x^2)*f(x)+(-2*x^2-3*x^3+x)*f(x)^2 lgdogf] A005322 4.28396 [{(-3*n^2-27*n-60)*a(n+1)+(-2*n^2-21*n-55)*a(n+2)+(n^2+12*n+27)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A005323 11.9259 [-32-48*x+(8-16*x-24*x^2)*f(x)+(-2*x^2-3*x^3+x)*f(x)^2 lgdogf] A005323 3.56411 [{(-3*n^2-33*n-90)*a(n+1)+(-2*n^2-25*n-78)*a(n+2)+(n^2+14*n+33)*a(n+3),a(0)=1,a(1)=4,a(2)=14} ogf] A005323 9.77430 [-4/x+4*I/x/(x+1)^(1/2)/(3*x-1)^(1/2) lgdogf] A005324 10.2186 [-5/x+5*I/x/(3*x-1)^(1/2)/(x+1)^(1/2) lgdogf] A005324 12.2480 [-50-75*x+(10-20*x-30*x^2)*f(x)+(-2*x^2-3*x^3+x)*f(x)^2 lgdogf] A005324 3.68539 [{(-3*n^2-39*n-126)*a(n+1)+(-2*n^2-29*n-105)*a(n+2)+(n^2+16*n+39)*a(n+3),a(0)=1,a(1)=5,a(2)=20} ogf] A005325 11.5854 [-6/x+6*I/x/(3*x-1)^(1/2)/(x+1)^(1/2) lgdogf] A005325 13.4188 [-6*(-1+2*x+3*x^2+(-(x+1)*(3*x-1))^(1/2))/x/(x+1)/(3*x-1) lgdogf] A005325 4.17833 [{(-3*n^2-45*n-168)*a(n+1)+(-2*n^2-33*n-136)*a(n+2)+(n^2+18*n+45)*a(n+3),a(0)=1,a(1)=6,a(2)=27} ogf] A005337 15.8880 [-4*(10-12*x+3*x^2)/(x-1)/(6*x^2-20*x+15) lgdogf] A005337 4.70989 [(275*f(x)+252843)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)+20*x-15) ogf] A005337 9.15445 [(6*x^2-20*x+15)/(x-1)^4 ogf] A005337 9.28523 [-(12*x^2-48*x+40)/(6*x^3-26*x^2+35*x-15) lgdogf] A005338 10.7233 [(-8-14*x+55*x^4+7*x^6-42*x^5-3*x^2)/(x-1)/(7*x^6-11*x^5+x^2+3*x+1) lgdogf] A005338 7.52275 [-(7*x^6-11*x^5+x^2+3*x+1)/(x-1)^5 ogf] A005339 10.9737 [-2*(77-115*x+3*x^5-6*x^3+44*x^2)/(x-1)/(x^6-4*x^3+25*x^2-56*x+35) lgdogf] A005339 6.79695 [(x^6-4*x^3+25*x^2-56*x+35)/(x-1)^6 ogf] A005340 5.20302 [(21*x^7-74*x^6+66*x^5-x^3-6*x^2-6*x-1)/(x-1)^7 ogf] A005340 7.31589 [-(-13-48*x+330*x^4+73*x^6-312*x^5-4*x^3-33*x^2)/(x-1)/(21*x^7-74*x^6+66*x^5-x^3-6*x^2-6*x-1) lgdogf] A005357 18.6789 [(-2+x^3-11*x^10+9*x^11-3*x^2)/(x-1)/(x^11+x^3+1) lgdogf] A005357 5.32752 [x^3*(x^26-x^19-2*x^11-x^8-x^3-1)/(x^26-x^8-1)/(x-1)^2 ogf] A005359 12.9529 [-f(x)*x^2+f(x)-1 egf] A005359 14.7519 [2*x/(-x^2+1) lgdegf] A005359 21.2428 [-1/(x-1)/(x+1) egf] A005359 35.0246 [-2*x/(x-1)/(x+1) lgdegf] A005359 4.96327 [{(n^2+5*n+6)*a(n+1)-a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A005367 10.4533 [-(-9+56*x+80*x^3-118*x^2)/(x-1)/(4*x-1)/(2*x-1)/(5*x-2) lgdogf] A005367 10.6781 [2*(5*x-2)/(x-1)/(2*x-1)/(4*x-1) ogf] A005367 5.10694 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=4,a(1)=18,a(2)=70} ogf] A005367 5.33907 [(243*f(x)-4232)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)-10*x+4) ogf] A005367 6.67384 [-(80*x^3-118*x^2+56*x-9)/(40*x^4-86*x^3+63*x^2-19*x+2) lgdogf] A005369 18.8979 [x/(x^2+1) ogf_with_Euler_transform] A005369 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(1/4)*2^(3/4)/GAMMA(3/4) A005373 12.3952 [-(-x^2+2*x)/(-x^2-2*x-2) revegf] A005373 15.8344 [-x*(-2+x)/(2+2*x+x^2) revegf] A005373 4.41475 [f(x)^2*x^4+6*f(x)^2*x^3+8*f(x)^2*x^2+2*f(x)^2*x+4*f(x)*x^2-f(x)^2+16*f(x)*x-4*f(x)+5 egf] A005377 12.0716 [x^4*(x^26+x^6+1)/(x-1)^2 ogf] A005377 12.2695 [2*(-1+2*x^6-3*x^5)/(x-1)/(x^2+1)/(x^4-x^2+1) lgdogf] A005380 14.8806 [-(-x+2)/(-x^2+2*x-1) ogf_with_Euler_transform] A005386 11.1394 [-(x-1)/(x+1)/(x^2-5*x+1) ogf] A005386 13.1369 [-(3+8*x+2*x^3-7*x^2)/(x-1)/(x+1)/(x^2-5*x+1) lgdogf] A005386 5.22468 [{-a(n+3)+4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=16} ogf] A005386 6.59152 [(5469*f(x)-323)*(f(x)*x^3-4*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A005386 8.19985 [-(-2*x^3+7*x^2-8*x-3)/(-x^4+5*x^3-5*x+1) lgdogf] A005387 10.1638 [n*a(n)+(n+2-n^2)*a(n+1)+(-3*n-2-n^2)*a(n+2),a(0)=2,a(1)=1 lgdegf] A005389 11.4325 [-2*(3-11*x+3*x^4+x^5-2*x^3+14*x^2)/(x^2+2*x-1)/(x^4+10*x^2-8*x+1) lgdogf] A005389 12.1880 [-(x^2+2*x-1)/(x^4+10*x^2-8*x+1) ogf] A005389 6.35003 [-(355*f(x)+29)*(f(x)*x^4+10*f(x)*x^2-8*f(x)*x+x^2+f(x)+2*x-1) ogf] A005389 6.45857 [-(2*x^5+6*x^4-4*x^3+28*x^2-22*x+6)/(x^6+2*x^5+9*x^4+12*x^3-25*x^2+10*x-1) lgdogf] A005403 6.71096 [-(3+4*x-13*x^4-3*x^6-10*x^5-10*x^3+x^10+x^2+4*x^9+4*x^7+6*x^8)/(x+1)/(x^2+x-1)/(x^3+x-1)/(x^5+2*x^4+x^3-2*x-1) lgdogf] A005403 8.09182 [-(x^5+2*x^4+x^3-2*x-1)/(x+1)/(x^2+x-1)/(x^3+x-1) ogf] A005408 10.8318 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A005408 14.0985 [-f(x)*x^2+2*f(x)*x-f(x)+x+1 ogf] A005408 19.7379 [(x+1)/(x-1)^2 ogf] A005408 20.1865 [-(x+3)/(x^2-1) lgdogf] A005408 25.6308 [-1/2*(-1-2*x+(1+8*x)^(1/2))/(-1+x) revogf] A005408 42.1415 [[3-x] ogf_with_Euler_transform] A005408 48.4137 [-(3+x)/(x-1)/(x+1) lgdogf] A005409 11.2476 [(x^3+2*x^2-2*x+1)/(x-1)/(x^2+2*x-1) ogf] A005409 12.4975 [-(-1-2*x+x^4+2*x^3+4*x^2)/(x-1)/(x^2+2*x-1)/(x^3+2*x^2-2*x+1) lgdogf] A005409 5.83520 [{-a(n+4)+3*a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=11} ogf] A005409 6.20865 [-(22*f(x)-27)*(f(x)*x^3+f(x)*x^2-x^3-3*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A005409 7.46233 [-(x^4+2*x^3+4*x^2-2*x-1)/(x^6+3*x^5-3*x^4-6*x^3+9*x^2-5*x+1) lgdogf] A005415 13.7304 [2*x/(1+(1-4*x)^(1/2)) lgdegf] A005418 13.3631 [-(3*x^2-1)/(2*x-1)/(2*x^2-1) ogf] A005418 15.5748 [-2*(1-x+6*x^4-3*x^2)/(2*x-1)/(3*x^2-1)/(2*x^2-1) lgdogf] A005418 6.80084 [-(2*f(x)+37)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-1) ogf] A005418 6.80084 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A005418 8.37026 [-(-12*x^4+6*x^2+2*x-2)/(-12*x^5+6*x^4+10*x^3-5*x^2-2*x+1) lgdogf] A005425 183.268 [x+2 lgdegf] A005425 6.32292 [{(-n-2)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=5} ogf] A005429 10.6159 [-(24*x^2+108*x+24)/(16*x^3+36*x^2-6*x-1) lgdogf] A005429 18.3426 [-12*(2+9*x+2*x^2)/(4*x-1)/(4*x^2+10*x+1) lgdogf] A005429 3.64270 [{(n+3)*a(n+4)+(-12+6*n)*a(n+3)+(-144-36*n)*a(n+2)+(-24-16*n)*a(n+1),a(0)=0,a(1)=2,a(2)=48,a(3)=540} ogf] A005430 21.8365 [6/(-4*x+1) lgdogf] A005430 5.93613 [{(n+1)*a(n+2)+(-6-4*n)*a(n+1),a(0)=0,a(1)=2} ogf] A005430 60.2014 [-6/(4*x-1) lgdogf] A005430 8.30324 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-4*x^2 ogf] A005431 2.90621 [{(16*n^3+8*n^2)*a(n)+(8*n^3+34*n^2+48*n+24)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=1} ogf] A005442 11.4710 [-(-2*x-1)/(-x^2-x+1) lgdegf] A005442 16.6852 [-1/(x^2+x-1) egf] A005442 29.9351 [-(2*x+1)/(x^2-1+x) lgdegf] A005442 3.87754 [{(n^2+5*n+6)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A005442 6.79766 [(5*f(x)-4)*(f(x)*x^2+f(x)*x-f(x)+1) egf] A005443 11.1030 [-(-2*x-1)/(-x^2-x+1) lgdegf] A005443 11.7137 [f(x)*x^2+f(x)*x-f(x)+x egf] A005443 14.4039 [-x/(x^2+x-1) egf] A005443 16.3784 [1/2/x*(-1-x+(2*x+5*x^2+1)^(1/2)) revegf] A005443 29.1172 [-(2*x+1)/(x^2-1+x) lgdegf] A005443 3.77974 [{(-n^2-5*n-6)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A005448 13.5257 [-(x^2+x+1)/(x-1)^3 ogf] A005448 15.8667 [-(-x^2-4*x-4)/(-x^3+1) lgdogf] A005448 16.5204 [-1/3*(-2*(9*x+1)^(1/3)+(9*x+1)^(2/3)+1-3*x)/(1+x) revogf] A005448 32.8278 [[-x^2+4] ogf_with_Euler_transform] A005448 33.7291 [-(x+2)^2/(x-1)/(x^2+x+1) lgdogf] A005448 7.17449 [-(f(x)-1)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+x+1) ogf] A005448 7.30147 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A005449 14.3383 [-x*(x+2)/(x-1)^3 ogf] A005449 17.0267 [-(2*x+7)/(x^2+x-2) lgdogf] A005449 40.2803 [-(7+2*x)/(x+2)/(x-1) lgdogf] A005449 7.23259 [-(81*f(x)-95)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x) ogf] A005449 7.36290 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A005460 17.8958 [-(7+8*x)/(2*x+1)/(x-1) lgdegf] A005460 5.70138 [-(2*x+1)/(x-1)^5 egf] A005460 8.43329 [-(8*x+7)/(2*x^2-x-1) lgdegf] A005461 10.1517 [-(30*x^2+60*x+15)/(6*x^3+2*x^2-7*x-1) lgdegf] A005461 18.0645 [-15*(1+4*x+2*x^2)/(x-1)/(6*x^2+8*x+1) lgdegf] A005461 5.91449 [{(-n^2-10*n-24)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=15} ogf] A005461 7.01202 [-(6*x^2+8*x+1)/(x-1)^7 egf] A005462 5.49632 [-(31+292*x+144*x^3+478*x^2)/(x-1)/(24*x^3+58*x^2+22*x+1) lgdegf] A005475 10.7979 [-x*(2*x+3)/(x-1)^3 ogf] A005475 12.5608 [-(4*x+11)/(2*x^2+x-3) lgdogf] A005475 26.2821 [-(11+4*x)/(2*x+3)/(x-1) lgdogf] A005475 5.44671 [(2025*f(x)-3724)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+3*x) ogf] A005475 5.49534 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=11} ogf] A005476 10.6693 [-x*(3*x+2)/(x-1)^3 ogf] A005476 12.6698 [-(6*x+9)/(3*x^2-x-2) lgdogf] A005476 24.8817 [-3*(2*x+3)/(3*x+2)/(x-1) lgdogf] A005476 5.19787 [-(3175*f(x)-5187)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+2*x) ogf] A005476 5.47884 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=9} ogf] A005491 10.4849 [(3*x^3+x^2+x+1)/(x-1)^4 ogf] A005491 10.4934 [-(5+5*x+3*x^3+11*x^2)/(x-1)/(3*x^3+x^2+x+1) lgdogf] A005491 11.7005 [-(3*x^3+11*x^2+5*x+5)/(3*x^4-2*x^3-1) lgdogf] A005491 4.24914 [{(-61*n^2-503*n-762)*a(n+1)+(134*n^2+748*n+180)*a(n+2)+(-73*n^2-209*n+30)*a(n+3),a(0)=1,a(1)=5,a(2)=15} ogf] A005491 5.72579 [(123*f(x)+109)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-x^2+f(x)-x-1) ogf] A005492 11.6196 [-(15+14*x+7*x^4+30*x^3+54*x^2)/(x-1)/(7*x^4+x^3+17*x^2-5*x+4) lgdogf] A005492 7.08729 [-(-7*x^4-30*x^3-54*x^2-14*x-15)/(-7*x^5+6*x^4-16*x^3+22*x^2-9*x+4) lgdogf] A005492 7.53025 [-(7*x^4+x^3+17*x^2-5*x+4)/(x-1)^5 ogf] A005493 19.7351 [-a(n)+(n+1)*a(n+1),a(0)=3,a(1)=1 lgdegf] A005493 27.0134 [2+exp(x) lgdegf] A005494 19.0008 [-a(n)+(n+1)*a(n+1),a(0)=4,a(1)=1 lgdegf] A005494 23.5140 [3+exp(x) lgdegf] A005517 10.2947 [(2+6*x+15*x^4+5*x^6+16*x^3+15*x^2)/(x^4-3*x^2-2*x-1)/(5*x^3-1) lgdogf] A005517 11.4452 [(x^4-3*x^2-2*x-1)/(5*x^3-1) ogf] A005517 6.04053 [{a(n+5)-5*a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=5,a(4)=9} ogf] A005517 7.49858 [-(f(x)-2)*(5*f(x)*x^3-x^4+3*x^2-f(x)+2*x+1) ogf] A005522 5.99796 [-(6-40*x+35*x^4+31*x^6-98*x^3-14*x^5-20*x^7+97*x^2+4*x^8)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(4*x^4-10*x^3-x^2+9*x-3) lgdogf] A005522 8.31387 [-(2*x^4+3*x^3-19*x^2+17*x-4)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A005554 8.87023 [f(x)^2*x^2+f(x)*x^2+x^2-f(x)+2*x+1 ogf] A005557 10.5084 [-2*(66-165*x+14*x^4-77*x^3+165*x^2)/(x-1)/(14*x^4-70*x^3+135*x^2-120*x+42) lgdogf] A005557 6.23589 [{(n^2+15*n+36)*a(n+1)+(-n^2-10*n-16)*a(n+2),a(0)=42,a(1)=132} ogf] A005557 7.13476 [(14*x^4-70*x^3+135*x^2-120*x+42)/(x-1)^6 ogf] A005563 14.6926 [x*(x-3)/(x-1)^3 ogf] A005563 17.4475 [-(-2*x+8)/(-x^2+4*x-3) lgdogf] A005563 41.2842 [-2*(x-4)/(x-1)/(x-3) lgdogf] A005563 7.54486 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=8} ogf] A005563 7.82691 [(8*f(x)+9)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+3*x) ogf] A005564 12.0467 [(x^2-4*x+6)/(x-1)^4 ogf] A005564 12.4063 [-(-2*x^2+10*x-20)/(-x^3+5*x^2-10*x+6) lgdogf] A005564 24.7327 [-2*(10-5*x+x^2)/(x-1)/(x^2-4*x+6) lgdogf] A005564 4.09470 [{(6*n+24)*a(n+4)+(-50-10*n)*a(n+3)+(20+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=6,a(1)=20,a(2)=45,a(3)=84} ogf] A005564 6.02337 [(33993*f(x)+130643)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+4*x-6) ogf] A005565 14.3124 [-3*(-25+24*x+2*x^3-11*x^2)/(x-1)/(3*x^3-14*x^2+25*x-20) lgdogf] A005565 4.60703 [{(n^2+10*n+21)*a(n+1)+(29+7*n)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=20,a(1)=75,a(2)=189} ogf] A005565 8.90693 [(3*x^3-14*x^2+25*x-20)/(x-1)^5 ogf] A005565 9.21407 [-(-6*x^3+33*x^2-72*x+75)/(-3*x^4+17*x^3-39*x^2+45*x-20) lgdogf] A005566 4.41373 [{(16*n^2+80*n+96)*a(n+1)+(8*n+28)*a(n+2)+(-n^2-9*n-20)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A005567 6.20207 [2*(4*x^2-10*x+5)/(2*x-1)^3/(x-1)^3 ogf] A005567 6.34144 [-(-32*x^3+112*x^2-112*x+35)/(-8*x^4+32*x^3-44*x^2+25*x-5) lgdogf] A005567 9.85440 [-(-35+112*x+32*x^3-112*x^2)/(x-1)/(2*x-1)/(4*x^2-10*x+5) lgdogf] A005568 6.28179 [{(16*n^2+64*n+60)*a(n+1)+(-n^2-7*n-12)*a(n+2),a(0)=1,a(1)=2} ogf] A005570 11.9027 [(x-17)/(x-1)^3 ogf] A005570 12.6028 [-(-2*x+50)/(-x^2+18*x-17) lgdogf] A005570 28.5591 [-2*(x-25)/(x-1)/(x-17) lgdogf] A005570 5.49353 [(1434368*f(x)-24462705)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-x+17) ogf] A005570 5.58908 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=50,a(2)=99} ogf] A005571 11.3057 [4*(x^2-4*x+19)/(x-1)^4 ogf] A005571 11.8045 [-(-2*x^2+10*x-72)/(-x^3+5*x^2-23*x+19) lgdogf] A005571 16.9355 [-2*(36-5*x+x^2)/(x-1)/(x^2-4*x+19) lgdogf] A005571 3.82242 [{(-19*n-76)*a(n+4)+(141+23*n)*a(n+3)+(-20-5*n)*a(n+2)+(n+3)*a(n+1),a(0)=76,a(1)=288,a(2)=700,a(3)=1376} ogf] A005571 5.57436 [(1424640*f(x)+92105971)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+16*x-76) ogf] A005572 10.2162 [f(x)^2*x^2+4*f(x)*x-f(x)+1 ogf] A005572 15.0688 [-x/(-x^2-4*x-1) revogf] A005572 3.91398 [{(-12*n-24)*a(n+1)+(8*n+28)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=4,a(2)=17} ogf] A005572 45.4145 [x/(1+4*x+x^2) revogf] A005572 9.52240 [-((6*x-1)^(1/2)*(2*x-1)^(1/2)+1)/(6*x-1)^(1/2)/(2*x-1)^(1/2)/x lgdogf] A005573 11.1828 [-(x^2+x)/(-6*x^2-6*x-1) revogf] A005573 27.1107 [x*(1+x)/(1+6*x+6*x^2) revogf] A005573 3.77599 [{(-12*n-24)*a(n+1)+(8*n+26)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=5,a(2)=26} ogf] A005573 5.52743 [-1/2*(6*x-1+12*x*(6*x-1)^(1/2)*(2*x-1)^(1/2)-(6*x-1)^(1/2)*(2*x-1)^(1/2))/(6*x-1)^(3/2)/(2*x-1)^(1/2)/x lgdogf] A005573 7.552 [6*f(x)^2*x^2-f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A005578 11.3493 [-(x^2+x-1)/(x-1)/(2*x-1)/(x+1) ogf] A005578 13.0447 [-(1+2*x^4+4*x^3-5*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) lgdogf] A005578 6.02007 [-(f(x)+3)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1) ogf] A005578 6.18133 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A005578 8.24177 [-(-2*x^4-4*x^3+5*x^2-1)/(-2*x^5-x^4+5*x^3-3*x+1) lgdogf] A005581 11.5414 [-x^2*(x-2)/(x-1)^4 ogf] A005581 16.5908 [-(-3*x+7)/(-x^2+3*x-2) lgdogf] A005581 37.5571 [-(-7+3*x)/(x-1)/(x-2) lgdogf] A005581 5.38079 [{(-2-2*n)*a(n+3)+(7+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A005581 7.44259 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2-x^3+4*f(x)*x+2*x^2-f(x) ogf] A005582 10.5465 [x*(x-2)/(x-1)^5 ogf] A005582 16.4790 [-(-4*x+9)/(-x^2+3*x-2) lgdogf] A005582 37.1357 [-(-9+4*x)/(x-1)/(x-2) lgdogf] A005582 5.27327 [{(-4-2*n)*a(n+3)+(12+3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=2,a(2)=9} ogf] A005583 15.7701 [-(-5*x+11)/(-x^2+3*x-2) lgdogf] A005583 34.4679 [-(-11+5*x)/(x-1)/(x-2) lgdogf] A005583 5.05057 [{(2*n+6)*a(n+3)+(-17-3*n)*a(n+2)+(6+n)*a(n+1),a(0)=2,a(1)=11,a(2)=36} ogf] A005583 9.65921 [-(x-2)/(x-1)^6 ogf] A005584 12.4942 [-(-6*x+13)/(-x^2+3*x-2) lgdogf] A005584 27.2096 [-(-13+6*x)/(x-1)/(x-2) lgdogf] A005584 4.00141 [{(2*n+6)*a(n+3)+(-19-3*n)*a(n+2)+(7+n)*a(n+1),a(0)=2,a(1)=13,a(2)=49} ogf] A005584 6.87883 [(x-2)/(x-1)^7 ogf] A005585 17.9725 [-(5*x+7)/(x^2-1) lgdogf] A005585 33.6767 [-(5*x+7)/(x-1)/(x+1) lgdogf] A005585 37.3710 [[7-x] ogf_with_Euler_transform] A005585 5.85771 [{(-n-3)*a(n+3)+7*a(n+2)+(6+n)*a(n+1),a(0)=1,a(1)=7,a(2)=27} ogf] A005585 9.88489 [(x+1)/(x-1)^6 ogf] A005586 11.0028 [x*(2*x^2-6*x+5)/(x-1)^4 ogf] A005586 11.9881 [-(-4*x^2+14*x-14)/(-2*x^3+8*x^2-11*x+5) lgdogf] A005586 21.9940 [-2*(7-7*x+2*x^2)/(x-1)/(2*x^2-6*x+5) lgdogf] A005586 3.99604 [{(15+5*n)*a(n+4)+(-36-11*n)*a(n+3)+(22+8*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=5,a(2)=14,a(3)=28} ogf] A005586 5.65638 [(10826*f(x)-103877)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+6*x^2+f(x)-5*x) ogf] A005587 14.4823 [-(-42+72*x+10*x^3-45*x^2)/(x-1)/(5*x^3-20*x^2+28*x-14) lgdogf] A005587 6.50089 [{(n^2+11*n+18)*a(n+1)+(-n^2-7*n-6)*a(n+2),a(0)=0,a(1)=14} ogf] A005587 8.43733 [x*(5*x^3-20*x^2+28*x-14)/(x-1)^5 ogf] A005587 9.01260 [-(-10*x^3+45*x^2-72*x+42)/(-5*x^4+25*x^3-48*x^2+42*x-14) lgdogf] A005592 11.6531 [-(6-14*x+x^4-4*x^3+10*x^2)/(x-1)/(x^2-3*x+1)/(x^2-2*x+2) lgdogf] A005592 12.8800 [-(2*x^2-2*x+1)/(x-1)/(x^2-3*x+1) ogf] A005592 6.83197 [-(5*f(x)+3)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A005592 7.01497 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A005592 7.93613 [-(2*x^4-4*x^3+3*x^2-4*x+2)/(2*x^5-10*x^4+17*x^3-14*x^2+6*x-1) lgdogf] A005593 6.56735 [-(5-26*x-25*x^4-4*x^7+12*x^5+4*x^6-10*x^3+42*x^2+x^8)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-2*x^3-x^2+5*x-2) lgdogf] A005593 7.41683 [-(x^4-2*x^3-x^2+5*x-2)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A005608 3.44243 [(74551106905853*f(x)+2192137539817230)*(360*f(x)*x^3-438*f(x)*x^2+79*f(x)*x+9720*x^2-f(x)-9990*x+729) ogf] A005608 4.05620 [{-a(n+3)+79*a(n+2)-438*a(n+1)+360*a(n),a(0)=729,a(1)=47601,a(2)=3450897} ogf] A005608 7.07095 [-27*(360*x^2-370*x+27)/(x-1)/(360*x^2-78*x+1) ogf] A005609 10.8864 [-1/56*(-64-29*x+(4096+3264*x+729*x^2)^(1/2))/(4+x) revogf] A005609 11.1030 [-16*(7*x-4)/(28*x-1)/(x-1) ogf] A005609 12.6586 [-(109-224*x+196*x^2)/(x-1)/(28*x-1)/(7*x-4) lgdogf] A005609 5.5515 [-(2937*f(x)+2128)*(28*f(x)*x^2-29*f(x)*x+f(x)+112*x-64) ogf] A005609 6.30852 [{a(n+2)-29*a(n+1)+28*a(n),a(0)=64,a(1)=1744} ogf] A005609 7.30461 [-(-196*x^2+224*x-109)/(-196*x^3+315*x^2-123*x+4) lgdogf] A005610 11.5550 [-(12*x-7)/(6*x^2-7*x+1) lgdogf] A005610 14.5845 [-1/12*(-7*x-2+(25*x^2+28*x+4)^(1/2))/x revogf] A005610 17.1574 [2/(6*x-1)/(x-1) ogf] A005610 23.0921 [-(-7+12*x)/(6*x-1)/(x-1) lgdogf] A005610 6.82160 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=2,a(1)=14} ogf] A005610 6.82161 [(37*f(x)+24)*(6*f(x)*x^2-7*f(x)*x+f(x)-2) ogf] A005611 4.85583 [-2*(302400*x^3-375360*x^2+9680*x-7)/(x-1)/(302400*x^3-72960*x^2+1400*x-1) ogf] A005616 13.8935 [-x+ln(x+2)+ln(1+x)-ln(2) revegf] A005618 12.3085 [-4*(3*x-1)/(6*x-1)/(x-1) ogf] A005618 13.1955 [-1/12*(-4-7*x+(16+8*x+25*x^2)^(1/2))/(x+2) revogf] A005618 14.5845 [-2*(2-6*x+9*x^2)/(x-1)/(6*x-1)/(3*x-1) lgdogf] A005618 6.0881 [-(97*f(x)-132)*(6*f(x)*x^2-7*f(x)*x+f(x)+12*x-4) ogf] A005618 6.82160 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=4,a(1)=16} ogf] A005618 8.20570 [-(-18*x^2+12*x-4)/(-18*x^3+27*x^2-10*x+1) lgdogf] A005619 4.54454 [(7347328*f(x)+40946755)*(80*f(x)*x^3-112*f(x)*x^2+33*f(x)*x+320*x^2-f(x)-288*x+16) ogf] A005619 4.95430 [{-a(n+3)+33*a(n+2)-112*a(n+1)+80*a(n),a(0)=16,a(1)=240,a(2)=6448} ogf] A005619 8.63464 [-16*(20*x^2-18*x+1)/(x-1)/(80*x^2-32*x+1) ogf] A005665 11.2508 [-(-8*x^3-6*x^2+5)/(-4*x^4-2*x^3+6*x^2+x-1) lgdogf] A005665 12.7621 [2*f(x)*x^3-3*f(x)*x-2*x^2+f(x)-x ogf] A005665 17.4503 [x*(2*x+1)/(x-1)/(2*x^2+2*x-1) ogf] A005665 18.7725 [-(-5+8*x^3+6*x^2)/(x-1)/(2*x+1)/(2*x^2+2*x-1) lgdogf] A005665 9.19424 [{-a(n+3)+3*a(n+2)-2*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A005666 10.3329 [-(-7+4*x^3+12*x^2)/(x-1)/(x+2)/(2*x^2+2*x-1) lgdogf] A005666 15.3934 [x*(x+2)/(x-1)/(2*x^2+2*x-1) ogf] A005666 8.11048 [{a(n+3)-3*a(n+2)+2*a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A005666 8.47499 [(7*f(x)+4)*(2*f(x)*x^3-3*f(x)*x-x^2+f(x)-2*x) ogf] A005666 9.79578 [-(4*x^3+12*x^2-7)/(2*x^4+4*x^3-3*x^2-5*x+2) lgdogf] A005667 11.1913 [-(3*x^2-2*x-3)/(3*x^3+17*x^2-9*x+1) lgdogf] A005667 16.1652 [(3*x-1)/(x^2+6*x-1) ogf] A005667 19.8581 [1/2/(-3+x)*(-1-6*x+(40*x^2+1)^(1/2)) revogf] A005667 20.4255 [-(-3-2*x+3*x^2)/(3*x-1)/(x^2+6*x-1) lgdogf] A005667 8.17342 [(370*f(x)-289)*(f(x)*x^2+6*f(x)*x-f(x)-3*x+1) ogf] A005667 8.87115 [{-a(n+2)+6*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A005668 12.8199 [-f(x)*x^2-6*f(x)*x+f(x)-x ogf] A005668 15.3072 [1/2/x*(-1-6*x+(1+12*x+40*x^2)^(1/2)) revogf] A005668 15.7578 [-(-2*x-6)/(-x^2-6*x+1) lgdogf] A005668 20.4426 [-x/(x^2+6*x-1) ogf] A005668 27.5529 [-2*(3+x)/(x^2+6*x-1) lgdogf] A005668 9.33798 [{-a(n+2)+6*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A005672 12.2569 [-(-1-6*x+8*x^3+6*x^2)/(2*x^2-1)/(x^2+x-1) lgdogf] A005672 4.04798 [-(2*f(x)-1)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+f(x)) ogf] A005672 9.54713 [x^3/(2*x^2-1)/(x^2+x-1) ogf] A005673 10.0873 [-(2+4*x+10*x^4-15*x^2)/(x-1)/(2*x^2-1)/(x^2+x-1) lgdogf] A005673 4.13839 [-f(x)*(2*f(x)*x^5-5*f(x)*x^3+x^4+2*f(x)*x^2+2*f(x)*x-f(x)) ogf] A005673 9.88149 [-x^4/(x-1)/(2*x^2-1)/(x^2+x-1) ogf] A005674 4.12966 [-4*f(x)*x^5-2*f(x)*x^4+8*f(x)*x^3-x^4-f(x)*x^2-3*f(x)*x+f(x) ogf] A005674 7.92080 [-x^4/(2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A005674 8.62802 [-(3+2*x+20*x^4+8*x^3-24*x^2)/(2*x-1)/(2*x^2-1)/(x^2+x-1) lgdogf] A005676 10.1354 [-(-1+4*x-6*x^4+4*x^3-6*x^2+2*x^5)/(x-1)/(x^5-x^4+4*x^3-6*x^2+4*x-1) lgdogf] A005676 4.71628 [f(x)^2*(f(x)*x^5-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A005676 8.15639 [(x-1)^3/(x^5-x^4+4*x^3-6*x^2+4*x-1) ogf] A005682 12.2134 [-(6*x^5+4*x^3-2)/(x^6+x^4-2*x+1) lgdogf] A005682 17.3631 [-2*(-1+2*x^3+3*x^5)/(x^3+x^2-1)/(x^3-x^2+2*x-1) lgdogf] A005682 22.4463 [1/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A005683 10.1044 [-(x^5+x^4+x^3+x^2-1)/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A005683 7.80493 [-(2-2*x+x^4+x^6-4*x^3-x^2+4*x^5+4*x^7+x^10+2*x^9+2*x^8)/(x^3+x^2-1)/(x^3-x^2+2*x-1)/(x^5+x^4+x^3+x^2-1) lgdogf] A005684 6.33011 [-2*(-1+5*x^4-6*x^3+3*x^2+4*x^7)/(x^2-x+1)/(x^2+x-1)/(x^4+x^2-1) lgdogf] A005684 7.22772 [1/(x^2-x+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A005685 5.60046 [-(x^7+x^6+x^5+2*x^4-x^3+x^2-1)/(x^2-x+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A005686 15.7269 [-(x+1)*x/(x^5+x^2-1) ogf] A005686 19.5596 [-(1+2*x+5*x^4+x^2+4*x^5)/(x+1)/(x^5+x^2-1) lgdogf] A005686 8.68255 [-(4*x^5+5*x^4+x^2+2*x+1)/(x^6+x^5+x^3+x^2-x-1) lgdogf] A005686 9.80618 [-f(x)^2*(f(x)*x^5+f(x)*x^2+x^2-f(x)+x) ogf] A005687 11.6107 [-2*(-1-5*x^4-2*x^3+3*x^2+6*x^5+5*x^9)/(x^5+x^2-1)/(x^5-x^2+2*x-1) lgdogf] A005687 12.4088 [1/(x^5+x^2-1)/(x^5-x^2+2*x-1) ogf] A005688 5.08306 [-(x^9+x^8+x^7+x^6+2*x^5-x^3+x^2-1)/(x^5+x^2-1)/(x^5-x^2+2*x-1) ogf] A005689 6.11853 [-(x^5+x^4+x^3+x^2+1)/(x^3+x-1)/(x^3-x+1) ogf] A005689 6.25634 [-(2+3*x^6+x^2+4*x^7+x^10+2*x^9+3*x^8)/(x^3+x-1)/(x^5+x^4+x^3+x^2+1)/(x^3-x+1) lgdogf] A005690 6.02498 [-2*(-1+7*x^6-2*x^3+3*x^2-6*x^5+6*x^11)/(x^3+x-1)/(x^3-x+1)/(x^6+x^2-1) lgdogf] A005690 6.59627 [1/(x^3+x-1)/(x^3-x+1)/(x^6+x^2-1) ogf] A005691 6.18986 [-(x^11+x^10+x^9+x^8+x^7+2*x^6-x^3+x^2-1)/(x^3+x-1)/(x^3-x+1)/(x^6+x^2-1) ogf] A005698 10.3092 [-(24*x^3+8*x^2+29*x+7)/(8*x^2-1)/(x^2+1) ogf] A005698 6.16711 [(72799*f(x)+638905)*(8*f(x)*x^4+7*f(x)*x^2+24*x^3+8*x^2-f(x)+29*x+7) ogf] A005700 4.39696 [{(16*n^2+64*n+60)*a(n+1)+(-n^2-9*n-20)*a(n+2),a(0)=1,a(1)=1} ogf] A005701 12.4162 [-(-4*x+14)/(-x^2+4*x-3) lgdogf] A005701 25.8438 [-2*(-7+2*x)/(x-1)/(x-3) lgdogf] A005701 3.97642 [{(3*n+9)*a(n+3)+(-22-4*n)*a(n+2)+(5+n)*a(n+1),a(0)=3,a(1)=14,a(2)=40} ogf] A005701 8.56892 [(x-3)/(x-1)^5 ogf] A005705 28.2877 [x^15+x^3+2 ogf_with_Euler_transform] A005705 7.26866 [-2*(1+x+x^2+3*x^3+x^4+x^5+x^6+3*x^7+x^8+x^9+x^10+3*x^11+x^12+x^13+x^14+11*x^15)/(x-1)/(x+1)/(1+x^2)/(1+x^4)/(1+x^8) lgdogf] A005705 7.67753 [1/(x^4+1)/(x^8+1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A005706 28.2709 [x^24+x^4+2 ogf_with_Euler_transform] A005708 17.3367 [-(6*x^5+1)/(x^6+x-1) lgdogf] A005708 27.3185 [-1/(x^6+x-1) ogf] A005708 42.1692 [-(1+6*x^5)/(-1+x+x^6) lgdogf] A005709 13.5465 [-(7*x^6+1)/(x^7+x-1) lgdogf] A005709 21.3460 [-1/(x^7+x-1) ogf] A005709 32.8025 [-(1+7*x^6)/(-1+x+x^7) lgdogf] A005710 16.1788 [-(8*x^7+1)/(x^8+x-1) lgdogf] A005710 25.4939 [-1/(x^8+x-1) ogf] A005710 39.2951 [-(1+8*x^7)/(-1+x+x^8) lgdogf] A005711 17.2448 [-(x^8+1)/(x^9+x-1) ogf] A005711 21.2519 [-(1+8*x^7+2*x^8+x^16)/(x^9+x-1)/(1+x^8) lgdogf] A005711 9.82555 [-(-x^16-2*x^8-8*x^7-1)/(-x^17-2*x^9+x^8-x+1) lgdogf] A005712 12.9111 [-(-3*x^2+2*x+6)/(-x^3+2*x^2-1) lgdogf] A005712 24.5132 [-(-6-2*x+3*x^2)/(x-1)/(x^2-x-1) lgdogf] A005712 4.25640 [{(-n-4)*a(n+4)+6*a(n+3)+(6+2*n)*a(n+2)+(-n-4)*a(n+1),a(0)=1,a(1)=6,a(2)=19,a(3)=45} ogf] A005712 9.80589 [(x^2-x-1)/(x-1)^5 ogf] A005714 14.9532 [-(10+10*x+4*x^3-17*x^2)/(x-1)/(x^3-4*x^2+3*x+1) lgdogf] A005714 3.91686 [{(3*n^2+33*n+90)*a(n+1)+(-7*n^2-61*n-114)*a(n+2)+(4*n^2+22*n+30)*a(n+3),a(0)=1,a(1)=10,a(2)=45} ogf] A005714 6.82652 [-(x^3-4*x^2+3*x+1)/(x-1)^7 ogf] A005714 8.63596 [-(4*x^3-17*x^2+10*x+10)/(x^4-5*x^3+7*x^2-2*x-1) lgdogf] A005715 15.7913 [-(30-18*x+5*x^3-9*x^2)/(x-1)/(x-2)/(x^2-2) lgdogf] A005715 3.65859 [{(3*n^2+39*n+126)*a(n+1)+(-7*n^2-72*n-161)*a(n+2)+(4*n^2+26*n+42)*a(n+3),a(0)=4,a(1)=30,a(2)=126} ogf] A005715 5.93718 [(x-2)*(x^2-2)/(x-1)^8 ogf] A005715 9.14647 [-(-5*x^3+9*x^2+18*x-30)/(-x^4+3*x^3-6*x+4) lgdogf] A005716 13.1998 [-3*(5+10*x+6*x^3-18*x^2)/(x-1)/(3*x^3-9*x^2+6*x+1) lgdogf] A005716 3.66011 [{(-3*n^2-39*n-126)*a(n+1)+(7*n^2+69*n+140)*a(n+2)+(-4*n^2-22*n-30)*a(n+3),a(0)=1,a(1)=15,a(2)=90} ogf] A005716 5.38768 [-(3*x^3-9*x^2+6*x+1)/(x-1)^9 ogf] A005716 7.83093 [-(18*x^3-54*x^2+30*x+15)/(3*x^4-12*x^3+15*x^2-5*x-1) lgdogf] A005717 4.30789 [{(-3*n^2-21*n-36)*a(n+1)+(-2*n^2-15*n-28)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A005717 6.82399 [3*f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2+3*f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A005717 7.01011 [I/x/(3*x-1)^(1/2)/(x+1)^(1/2)-(6*x^2+3*x-1)/(3*x-1)/(x+1)/x lgdogf] A005718 11.5442 [-(x^2-3*x+3)/(x-1)^5 ogf] A005718 13.8180 [-(-3*x^2+10*x-12)/(-x^3+4*x^2-6*x+3) lgdogf] A005718 26.3780 [-(12-10*x+3*x^2)/(x-1)/(x^2-3*x+3) lgdogf] A005718 4.51480 [{(3*n+12)*a(n+4)+(-30-6*n)*a(n+3)+(18+4*n)*a(n+2)+(-4-n)*a(n+1),a(0)=3,a(1)=12,a(2)=31,a(3)=65} ogf] A005719 19.3413 [-(12-4*x+3*x^3-5*x^2)/(x-1)/(x^3-2*x^2+2) lgdogf] A005719 4.22798 [{(37*n^2+417*n+1076)*a(n+1)+(-68*n^2-496*n-444)*a(n+2)+(31*n^2+109*n+48)*a(n+3),a(0)=2,a(1)=12,a(2)=40} ogf] A005719 8.77766 [(x^3-2*x^2+2)/(x-1)^6 ogf] A005719 9.96969 [-(3*x^3-5*x^2-4*x+12)/(x^4-3*x^3+2*x^2+2*x-2) lgdogf] A005720 16.7231 [-(10+8*x+8*x^3-19*x^2)/(x-1)/(2*x^3-5*x^2+3*x+1) lgdogf] A005720 4.23338 [{(-49*n^2-659*n-2070)*a(n+1)+(95*n^2+855*n+1170)*a(n+2)+(-46*n^2-214*n-228)*a(n+3),a(0)=1,a(1)=10,a(2)=44} ogf] A005720 7.78136 [-(2*x^3-5*x^2+3*x+1)/(x-1)^7 ogf] A005720 9.96394 [-(-8*x^3+19*x^2-8*x-10)/(-2*x^4+7*x^3-8*x^2+2*x+1) lgdogf] A005725 6.96461 [16*f(x)^3*x^3+8*f(x)^3*x^2+11*f(x)^3*x-4*f(x)^3-2*f(x)*x+3*f(x)+1 ogf] A005727 19.0683 [-n*a(n)+(-1-n)*a(n+1),a(0)=1,a(1)=1 lgdegf] A005727 19.7039 [ln(x+1)+1 lgdegf] A005732 11.2129 [-(-4*x^3-3*x^2+6*x+8)/(-x^4+x^3+x^2-1) lgdogf] A005732 22.6414 [-(-8-6*x+4*x^3+3*x^2)/(x-1)/(x^3-x-1) lgdogf] A005732 4.70816 [{(-5*n^2-75*n-250)*a(n+1)+(9*n^2+71*n-38)*a(n+2)+(-4*n^2-2*n+30)*a(n+3),a(0)=1,a(1)=8,a(2)=35} ogf] A005732 8.78533 [(x^3-x-1)/(x-1)^7 ogf] A005744 10.1135 [-(-3*x^3+x^2+6*x+4)/(-x^4+x^3+2*x^2-x-1) lgdogf] A005744 19.4504 [-(-4-6*x+3*x^3-x^2)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A005744 9.98865 [-x*(x^2-x-1)/(x+1)/(x-1)^4 ogf] A005745 3.56110 [-(x^8-x^7-x^6-2*x^5+2*x^4+x^3-3*x^2-2*x-1)/(x+1)^2/(x^2+x+1)^2/(x-1)^8 ogf] A005758 23.0639 [12/(-x+1) ogf_with_Euler_transform] A005758 99.9999 Evaluated at exp(-Pi) 16*exp(-1/2*Pi)/Pi^3*2^(1/2)*GAMMA(3/4)^12 A005770 7.11883 [(x^3+2*x^2-3*x+1)/(4*x-1)/(2*x-1)/(x^2-3*x+1)^2 ogf] A005773 10.5763 [-3*f(x)^2*x+f(x)^2+3*f(x)*x-f(x)-x ogf] A005773 5.43531 [{-3*a(n)*n+(-2*n-4)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A005774 3.89381 [{(-3*n^2-15*n-18)*a(n+1)+(-2*n^2-14*n-24)*a(n+2)+(n^2+7*n+10)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A005774 7.07243 [3/2*I/x/(x+1)^(1/2)/(3*x-1)^(1/2)-3/2*(4*x-1)/(3*x-1)/x lgdogf] A005774 9.00128 [-3*f(x)^2*x^3+f(x)^2*x^2-3*f(x)*x+f(x)-x ogf] A005775 4.28952 [{(-3*n^2-27*n-60)*a(n+1)+(-2*n^2-22*n-60)*a(n+2)+(n^2+11*n+24)*a(n+3),a(0)=1,a(1)=4,a(2)=14} ogf] A005775 7.84245 [5/2*I/x/(x+1)^(1/2)/(3*x-1)^(1/2)-1/2*(18*x-5)/(3*x-1)/x lgdogf] A005775 8.92630 [-20+36*x+81*x^2+(5-28*x+54*x^3+21*x^2)*f(x)+(-5*x^2+x+3*x^3+9*x^4)*f(x)^2 lgdogf] A005789 5.48412 [{(27*n^2+81*n+60)*a(n+1)+(-n^2-7*n-12)*a(n+2),a(0)=1,a(1)=1} ogf] A005790 4.54194 [{(-256*n^3-1920*n^2-4784*n-3960)*a(n+1)+(n^3+15*n^2+74*n+120)*a(n+2),a(0)=1,a(1)=14} ogf] A005798 12.2332 [-(-8*x+8)/(x^3+x^2+x+1) ogf_with_Euler_transform] A005798 99.9999 Evaluated at exp(-Pi) 1/32 A005802 4.19699 [{(9*n^2+36*n+36)*a(n+1)+(-10*n^2-62*n-93)*a(n+2)+(n^2+10*n+25)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A005803 11.3063 [-(5*x^2-4*x+1)/(2*x-1)/(x-1)^2 ogf] A005803 16.2560 [-2*x^2*(5*x-3)/(x-1)/(2*x-1)/(5*x^2-4*x+1) lgdogf] A005803 6.26984 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A005803 7.74923 [-2*f(x)*x^3+5*f(x)*x^2-4*f(x)*x-5*x^2+f(x)+4*x-1 ogf] A005803 9.07476 [-(-10*x^3+6*x^2)/(-10*x^4+23*x^3-19*x^2+7*x-1) lgdogf] A005807 13.8266 [-1-1/2*x-1/2*x^2+1/2*((x^2+4)*(1+x)^2)^(1/2) revogf] A005807 3.39478 [{(-4*n^2-14*n-12)*a(n+1)+(17*n^2+109*n+168)*a(n+2)+(-4*n^2-32*n-60)*a(n+3),a(0)=2,a(1)=3,a(2)=7} ogf] A005807 7.39576 [-1/2*x^2-1/2*x-1+1/2*(x^4+2*x^3+5*x^2+8*x+4)^(1/2) revogf] A005807 9.861 [f(x)^2*x^2+f(x)*x-f(x)+x+2 ogf] A005809 11.2450 [hypergeom([1/3,2/3],[1/2],27/4*x) ogf] A005809 11.6466 [-27*f(x)^3*x+4*f(x)^3-3*f(x)-1 ogf] A005809 5.21767 [{(27*n^2+81*n+60)*a(n+1)+(-4*n^2-14*n-12)*a(n+2),a(0)=1,a(1)=3} ogf] A005810 3.97473 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-27*n^3-135*n^2-222*n-120)*a(n+2),a(0)=1,a(1)=4} ogf] A005815 4.21838 [-(f(x)-1)^2*(x^5+240*f(x)*x^2+15*f(x)*x-240*x^2-f(x)-15*x+1) ogf] A005817 4.01026 [{(-16*n^2-80*n-96)*a(n+1)+(-8*n-36)*a(n+2)+(n^2+13*n+42)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A005818 15.4473 [-(3*x-7)/(2*x^3-3*x^2-2*x+3) lgdogf] A005818 16.3216 [-(x+1)*(2*x-3)/(x-1)^2 ogf] A005818 29.2556 [-(-7+3*x)/(x-1)/(2*x-3)/(x+1) lgdogf] A005818 8.48085 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=7,a(2)=9} ogf] A005818 9.20263 [(4*f(x)+37)*(f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-3) ogf] A005822 8.21605 [-(x-1)*(x+1)*(x^4+x^3-x^2+x+1)/(x^8-4*x^6-x^4-4*x^2+1) ogf] A005824 10.9003 [-(1+6*x-6*x^4+8*x^5-8*x^3+5*x^2)/(x-1)/(2*x+1)/(2*x^4-5*x^2+1) lgdogf] A005824 11.2495 [-x*(2*x+1)*(x-1)/(2*x^4-5*x^2+1) ogf] A005824 7.37866 [-f(x)*(2*f(x)*x^4-5*f(x)*x^2+2*x^3-x^2+f(x)-x) ogf] A005825 11.1198 [x*(4*x^2-2*x-1)/(2*x^2-1)/(2*x^2-5*x+1) ogf] A005825 5.9667 [-(17*f(x)+512)*(4*f(x)*x^4-10*f(x)*x^3-4*x^3+5*f(x)*x+2*x^2-f(x)+x) ogf] A005825 9.65664 [-(-7+8*x-64*x^4+32*x^5+24*x^3+10*x^2)/(2*x^2-1)/(4*x^2-2*x-1)/(2*x^2-5*x+1) lgdogf] A005826 5.63608 [(3817399*f(x)-1292290)*(4*f(x)*x^4-10*f(x)*x^3-4*x^3+5*f(x)*x+6*x^2-f(x)+1) ogf] A005826 9.08579 [(4*x^3-6*x^2-1)/(2*x^2-1)/(2*x^2-5*x+1) ogf] A005827 11.7292 [-(2*x^3-2*x^2-2*x+1)/(2*x^2-1)/(2*x^2-5*x+1) ogf] A005827 6.26748 [-(11693*f(x)+1979)*(4*f(x)*x^4-10*f(x)*x^3+2*x^3+5*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A005827 9.50599 [-(3-4*x-4*x^4+8*x^6-16*x^5+36*x^3-14*x^2)/(2*x^2-1)/(2*x^2-5*x+1)/(2*x^3-2*x^2-2*x+1) lgdogf] A005833 6.09629 [-x*(x^5-x^4+x^3+x-1)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x-1) ogf] A005834 5.98293 [-x*(2*x^5-2*x^4+2*x^3-x^2+2*x-2)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x-1) ogf] A005843 13.3081 [-f(x)*x^2+2*f(x)*x-f(x)+2*x ogf] A005843 21.2210 [2*x/(x-1)^2 ogf] A005843 28.0420 [2/(-x+1) lgdogf] A005843 33.6019 [2*x/(1+(2*x+1)^(1/2))^2 revogf] A005843 9.69353 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A005843 96.6054 [-2/(x-1) lgdogf] A005859 2.31283 [-(f(x)*x-f(x)+1)^3 ogf] A005861 2.62891 [-(f(x)*x-f(x)+1)^3 ogf] A005862 2.5238 [-(f(x)*x-f(x)+1)^3 ogf] A005863 2.47746 [-(f(x)*x-f(x)+1)^3 ogf] A005868 6.50078 [-(x^2-x+1)*(x^8+x^7-x^5-x^4-x^3+x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A005869 34.8891 [-3/(-x-1) ogf_with_Euler_transform] A005869 99.9999 Evaluated at exp(-Pi) 1/2*exp(3/8*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^3 A005875 14.0411 [-(3*x^2-3*x+6)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A005875 99.9999 Evaluated at exp(-Pi) Pi^(3/4)/GAMMA(3/4)^3 A005876 14.5070 [-(3*x^2-x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A005876 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/4*Pi)*Pi^(3/4)*2^(3/4)/GAMMA(3/4)^3 A005877 9.92626 [-(-3*x^2-x-2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A005877 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/2*Pi)*Pi^(3/4)*2^(1/2)/GAMMA(3/4)^3 A005878 35.3282 [-3/(-x-1) ogf_with_Euler_transform] A005878 99.9999 Evaluated at exp(-Pi) 2*exp(3/8*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^3 A005879 33.5065 [-4/(-x-1) ogf_with_Euler_transform] A005879 99.9999 Evaluated at exp(-Pi) exp(1/2*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A005880 23.3194 [-4/(-x-1) ogf_with_Euler_transform] A005880 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A005881 14.6914 [-(2*x^2-x+1)/(-x^3-1) ogf_with_Euler_transform] A005882 17.1926 [-(-2*x-1)/(x^2+x+1) ogf_with_Euler_transform] A005883 32.8633 [-2/(-x-1) ogf_with_Euler_transform] A005883 99.9999 Evaluated at exp(-Pi) exp(1/4*Pi)*Pi^(1/2)*2^(3/4)/GAMMA(3/4)^2 A005884 14.8173 [-(-3*x^2-x-2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A005884 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi)*Pi^(3/4)*2^(1/2)/GAMMA(3/4)^3 A005886 37.3868 [-3/(-x-1) ogf_with_Euler_transform] A005886 99.9999 Evaluated at exp(-Pi) exp(3/8*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^3 A005891 12.6333 [-(x^2+8*x+6)/(x^3+2*x^2-2*x-1) lgdogf] A005891 13.2546 [-(x^2+3*x+1)/(x-1)^3 ogf] A005891 26.4377 [-(6+8*x+x^2)/(x-1)/(x^2+3*x+1) lgdogf] A005891 7.15515 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=16} ogf] A005891 7.21903 [(6*f(x)-13)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+3*x+1) ogf] A005892 11.3263 [-(4*x^2+26*x+12)/(4*x^3+5*x^2-8*x-1) lgdogf] A005892 12.2547 [-(4*x^2+9*x+1)/(x-1)^3 ogf] A005892 20.3495 [-2*(x+6)*(2*x+1)/(x-1)/(4*x^2+9*x+1) lgdogf] A005892 6.12733 [(301644*f(x)-1684069)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+9*x+1) ogf] A005892 6.55732 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=37} ogf] A005893 11.4947 [-(x+1)*(x^2+1)/(x-1)^3 ogf] A005893 15.2525 [-(-4*x^2-4*x-4)/(-x^4+1) lgdogf] A005893 24.3041 [-4*(1+x+x^2)/(x-1)/(x+1)/(x^2+1) lgdogf] A005893 31.5480 [[-x^3+4] ogf_with_Euler_transform] A005893 5.91889 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=20} ogf] A005893 6.60942 [(7+38*f(x))*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)+x+1) ogf] A005894 11.8455 [-(-x^3-5*x^2-5*x-5)/(-x^4+1) lgdogf] A005894 18.3178 [-(5+5*x+5*x^2+x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A005894 28.2277 [[-x^3+5] ogf_with_Euler_transform] A005894 5.15022 [(16*f(x)+9)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-x-1) ogf] A005894 9.23027 [(x+1)*(x^2+1)/(x-1)^4 ogf] A005897 10.9020 [-(x+1)*(x^2+4*x+1)/(x-1)^3 ogf] A005897 11.5729 [-(8*x^2+20*x+8)/(x^4+4*x^3-4*x-1) lgdogf] A005897 18.4299 [-4*(x+2)*(2*x+1)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A005897 5.61373 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=26,a(3)=56} ogf] A005897 6.11577 [(130*f(x)-301)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+5*x^2-f(x)+5*x+1) ogf] A005898 16.2865 [-(9+25*x+x^3+13*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A005898 4.20205 [{(n^2+2*n)*a(n+1)+(-2*n^2-10*n-39)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=1,a(1)=9,a(2)=35} ogf] A005898 5.76513 [(1296*f(x)+4631)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-5*x^2+f(x)-5*x-1) ogf] A005898 9.49553 [(x+1)*(x^2+4*x+1)/(x-1)^4 ogf] A005898 9.88049 [-(x^3+13*x^2+25*x+9)/(x^4+4*x^3-4*x-1) lgdogf] A005899 11.9968 [-(x+1)^3/(x-1)^3 ogf] A005899 25.8682 [6/(-x^2+1) lgdogf] A005899 39.1980 [[6-3*x] ogf_with_Euler_transform] A005899 58.0273 [-6/(x-1)/(x+1) lgdogf] A005899 6.17748 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=18,a(3)=38} ogf] A005899 6.95615 [(f(x)-1)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+3*x^2-f(x)+3*x+1) ogf] A005900 10.2759 [x*(x+1)^2/(x-1)^4 ogf] A005900 17.0487 [-(2*x+6)/(x^2-1) lgdogf] A005900 35.4835 [[6-2*x] ogf_with_Euler_transform] A005900 36.9500 [-2*(3+x)/(x-1)/(x+1) lgdogf] A005900 5.32015 [-(280*f(x)+251)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-x) ogf] A005900 5.64016 [{(n+2)*a(n+3)-6*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A005901 10.8716 [-(x+1)*(x^2+8*x+1)/(x-1)^3 ogf] A005901 11.1961 [-(12*x^2+36*x+12)/(x^4+8*x^3-8*x-1) lgdogf] A005901 18.8535 [-12*(1+3*x+x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A005901 5.55660 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=12,a(2)=42,a(3)=92} ogf] A005901 6.1487 [(74*f(x)-371)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+9*x^2-f(x)+9*x+1) ogf] A005902 15.5286 [-(13+45*x+x^3+21*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A005902 4.00629 [{(-n^2-4*n-4)*a(n+1)+(2*n^2+10*n+25)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=13,a(2)=55} ogf] A005902 5.73545 [(25840*f(x)+177067)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-9*x^2+f(x)-9*x-1) ogf] A005902 9.26130 [(x+1)*(x^2+8*x+1)/(x-1)^4 ogf] A005902 9.50827 [-(x^3+21*x^2+45*x+13)/(x^4+8*x^3-8*x-1) lgdogf] A005903 11.5591 [-(x+1)*(x^2+28*x+1)/(x-1)^3 ogf] A005903 11.7243 [-(32*x^2+116*x+32)/(x^4+28*x^3-28*x-1) lgdogf] A005903 19.1868 [-4*(8+29*x+8*x^2)/(x-1)/(x+1)/(x^2+28*x+1) lgdogf] A005903 5.99050 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=32,a(2)=122,a(3)=272} ogf] A005903 6.4622 [(682*f(x)-12733)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+29*x^2-f(x)+29*x+1) ogf] A005904 16.0877 [-(33+145*x+x^3+61*x^2)/(x-1)/(x+1)/(x^2+28*x+1) lgdogf] A005904 4.09818 [{(-13*n^2-62*n-72)*a(n+1)+(26*n^2+130*n+255)*a(n+2)+(-13*n^2-68*n-87)*a(n+3),a(0)=1,a(1)=33,a(2)=155} ogf] A005904 5.55338 [(238320*f(x)+5603477)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-29*x^2+f(x)-29*x-1) ogf] A005904 9.75262 [(x+1)*(x^2+28*x+1)/(x-1)^4 ogf] A005904 9.87765 [-(x^3+61*x^2+145*x+33)/(x^4+28*x^3-28*x-1) lgdogf] A005905 11.7074 [-(x+1)*(x^2+12*x+1)/(x-1)^3 ogf] A005905 12.0467 [-(16*x^2+52*x+16)/(x^4+12*x^3-12*x-1) lgdogf] A005905 19.4329 [-4*(4+13*x+4*x^2)/(x-1)/(x+1)/(x^2+12*x+1) lgdogf] A005905 6.11195 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=16,a(2)=58,a(3)=128} ogf] A005905 6.59703 [(314*f(x)-2429)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+13*x^2-f(x)+13*x+1) ogf] A005906 10.1449 [(10*x^2+12*x+1)/(x-1)^4 ogf] A005906 10.4390 [-(20*x^2+56*x+16)/(10*x^3+2*x^2-11*x-1) lgdogf] A005906 18.1014 [-4*(4+14*x+5*x^2)/(x-1)/(10*x^2+12*x+1) lgdogf] A005906 4.93347 [(85619179*f(x)+832920929)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-10*x^2+f(x)-12*x-1) ogf] A005907 6.57258 [-(x^6-x^5+x^4+2*x^2-x-1)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x-1) ogf] A005908 4.26909 [-(f(x)+2)*(f(x)*x^5+f(x)*x^4+x^4-f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-x) ogf] A005908 7.64220 [-x*(x^3+x^2+x-1)/(x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A005908 8.22723 [-(1-x^4+4*x^6+2*x^7+6*x^5-2*x^2)/(x-1)/(x^3+x^2+x-1)/(x^4+2*x^3+2*x^2+x-1) lgdogf] A005909 6.98949 [-(3+2*x-5*x^4+5*x^6+4*x^7+6*x^5-5*x^2)/(x-1)/(2*x^3+x^2+x-2)/(x^4+2*x^3+2*x^2+x-1) lgdogf] A005909 7.19920 [-x*(2*x^3+x^2+x-2)/(x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A005910 12.0659 [-2*(19+106*x+3*x^3+64*x^2)/(x-1)/(6*x^3+55*x^2+34*x+1) lgdogf] A005910 4.21153 [(2015698944*f(x)+64305023119)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-55*x^2+f(x)-34*x-1) ogf] A005910 7.56161 [-(6*x^3+128*x^2+212*x+38)/(6*x^4+49*x^3-21*x^2-33*x-1) lgdogf] A005910 8.42306 [(6*x^3+55*x^2+34*x+1)/(x-1)^4 ogf] A005911 11.4303 [-(x+1)*(x^2+44*x+1)/(x-1)^3 ogf] A005911 11.5936 [-(48*x^2+180*x+48)/(x^4+44*x^3-44*x-1) lgdogf] A005911 18.5302 [-12*(4+15*x+4*x^2)/(x-1)/(x+1)/(x^2+44*x+1) lgdogf] A005911 5.92375 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=48,a(2)=186,a(3)=416} ogf] A005911 6.49243 [(50*f(x)-1481)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+45*x^2-f(x)+45*x+1) ogf] A005912 10.2516 [(8*x^3+93*x^2+52*x+1)/(x-1)^4 ogf] A005912 14.4644 [-2*(28+171*x+4*x^3+105*x^2)/(x-1)/(8*x^3+93*x^2+52*x+1) lgdogf] A005912 4.90833 [(5518009824943*f(x)+291824162010581)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-93*x^2+f(x)-52*x-1) ogf] A005912 9.20314 [-(8*x^3+210*x^2+342*x+56)/(8*x^4+85*x^3-41*x^2-51*x-1) lgdogf] A005913 5.85538 [-(3-2*x-x^4+7*x^6+2*x^7+2*x^5-4*x^3+2*x^2+x^8)/(x-1)/(x^4+2*x^3+2*x^2+x-1)/(x^4+x^3+2*x^2-x-1) lgdogf] A005913 6.63046 [-(x^4+x^3+2*x^2-x-1)/(x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A005914 11.5485 [-(x+1)*(x^2+10*x+1)/(x-1)^3 ogf] A005914 11.8832 [-(14*x^2+44*x+14)/(x^4+10*x^3-10*x-1) lgdogf] A005914 19.1642 [-2*(7+22*x+7*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A005914 6.02899 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=14,a(2)=50,a(3)=110} ogf] A005914 6.61243 [(67*f(x)-427)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+11*x^2-f(x)+11*x+1) ogf] A005915 10.5233 [(7*x^2+10*x+1)/(x-1)^4 ogf] A005915 10.9944 [-(14*x^2+44*x+14)/(7*x^3+3*x^2-9*x-1) lgdogf] A005915 19.0048 [-2*(7+22*x+7*x^2)/(x-1)/(7*x^2+10*x+1) lgdogf] A005915 3.62871 [{(n+4)*a(n+4)+(13+9*n)*a(n+3)+(-50-3*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=1,a(1)=14,a(2)=57,a(3)=148} ogf] A005915 5.37684 [(6348*f(x)+49393)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-10*x-1) ogf] A005916 4.24361 [(x^14-x^13+x^11+x^5-x+1)/(x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A005917 15.4247 [-(15+55*x+x^3+25*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A005917 3.97731 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+40*n+93)*a(n+2)+(-4*n^2-23*n-33)*a(n+3),a(0)=1,a(1)=15,a(2)=65} ogf] A005917 5.02688 [(234*f(x)+1991)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-11*x^2+f(x)-11*x-1) ogf] A005917 9.16292 [(x+1)*(x^2+10*x+1)/(x-1)^4 ogf] A005917 9.40092 [-(x^3+25*x^2+55*x+15)/(x^4+10*x^3-10*x-1) lgdogf] A005918 12.1185 [-(x+1)*(x^2+x+1)/(x-1)^3 ogf] A005918 13.0653 [-(5*x^2+8*x+5)/(x^4+x^3-x-1) lgdogf] A005918 22.7971 [-(5+8*x+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A005918 33.2653 [-x^2-x+5 ogf_with_Euler_transform] A005918 6.24014 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=14,a(3)=29} ogf] A005918 6.85393 [(-91+244*f(x))*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+2*x^2-f(x)+2*x+1) ogf] A005919 10.7797 [-(x+1)*(x^2+5*x+1)/(x-1)^3 ogf] A005919 11.4430 [-(9*x^2+24*x+9)/(x^4+5*x^3-5*x-1) lgdogf] A005919 18.2211 [-3*(3+8*x+3*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A005919 5.55072 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=9,a(2)=30,a(3)=65} ogf] A005919 6.77087 [(68*f(x)-203)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+6*x^2-f(x)+6*x+1) ogf] A005920 11.2270 [(3*x^2+5*x+1)/(x-1)^4 ogf] A005920 11.9179 [-(6*x^2+21*x+9)/(3*x^3+2*x^2-4*x-1) lgdogf] A005920 21.1086 [-3*(x+3)*(2*x+1)/(x-1)/(3*x^2+5*x+1) lgdogf] A005920 3.89279 [{(n+4)*a(n+4)+(3+4*n)*a(n+3)+(-25-2*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=1,a(1)=9,a(2)=33,a(3)=82} ogf] A005920 5.41724 [(23005782*f(x)+91233115)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-5*x-1) ogf] A005921 10.7222 [-(x+1)^2/(x^2+x-1) egf] A005921 10.9284 [-(x+3)/(x^3+2*x^2-1) lgdegf] A005921 25.2954 [-(x+3)/(x+1)/(x^2+x-1) lgdegf] A005921 5.85852 [-(2+7*f(x))*(f(x)*x^2+f(x)*x+x^2-f(x)+2*x+1) egf] A005922 10.4280 [2*(3+6*x+x^3+3*x^2)/(x+1)/(x^2+x-1)/(x^3+x^2-3*x-1) lgdegf] A005922 3.55157 [(14075*f(x)+16062)*(f(x)*x^4+2*f(x)*x^3+x^4-f(x)*x^2+2*x^3-2*f(x)*x-2*x^2+f(x)-4*x-1) egf] A005922 6.39282 [-(x+1)*(x^3+x^2-3*x-1)/(x^2+x-1)^2 egf] A005928 13.6916 [-(-2*x^2-3*x-3)/(x^3-1) ogf_with_Euler_transform] A005929 5.53754 [-(2*x^29+x^17+x^11+2*x^5)/(-x^30-x^24-x^18-x^12-x^6-1) ogf_with_Euler_transform] A005931 99.9999 Evaluated at exp(-Pi) 15/4*exp(3/4*Pi)*Pi^(7/4)*2^(1/4)/GAMMA(3/4)^7 A005943 5.39609 [-(2*x^9+2*x^7-4*x^6-4*x^4-2*x^3-x^2-1)/(x-1)^2 ogf] A005945 10.5141 [-(12*x^2+45*x+15)/(6*x^3+5*x^2-10*x-1) lgdogf] A005945 18.5297 [-3*(5+15*x+4*x^2)/(x-1)/(6*x^2+11*x+1) lgdogf] A005945 4.61266 [-(425386080*f(x)+1785469387)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-11*x^2+f(x)-x) ogf] A005945 9.66165 [x*(6*x^2+11*x+1)/(x-1)^4 ogf] A005946 7.88686 [-(24*x^3+108*x^2+47*x+1)/(x-1)^5 ogf] A005946 7.97449 [-(48*x^3+396*x^2+404*x+52)/(24*x^4+84*x^3-61*x^2-46*x-1) lgdogf] A005968 9.52578 [-(-2-4*x-2*x^4+3*x^6+12*x^5-44*x^3+29*x^2)/(x-1)/(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A005968 9.76546 [x*(x^2+2*x-1)/(x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A005969 5.99770 [-(2+14*x+199*x^4-25*x^6+17*x^5+3*x^7+179*x^3-89*x^2)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-7*x+1)/(x^2-5*x+1) lgdogf] A005969 6.37447 [(x+1)*(x^2-5*x+1)/(x^2+3*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A005970 10.3618 [(4*x^2-7*x-1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A005970 5.09734 [-(140990*f(x)-54933)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-4*x^2-f(x)+7*x+1) ogf] A005970 8.36539 [-(-10+8*x-33*x^4+8*x^5+38*x^3-3*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(4*x^2-7*x-1) lgdogf] A005971 5.68163 [-(-28+40*x-380*x^4+85*x^6-4*x^5+16*x^7+360*x^3-113*x^2)/(x-1)/(x^2+4*x-1)/(x^2-x-1)/(8*x^3+23*x^2-24*x-1) lgdogf] A005971 6.99925 [(8*x^3+23*x^2-24*x-1)/(x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A005972 5.15952 [(16*x^4-79*x^3-164*x^2+76*x+1)/(x^2+3*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A005985 6.69878 [-2*(-2-5*x+14*x^4+16*x^6-20*x^5+16*x^3-10*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^3-4*x^2+2*x+1) lgdogf] A005985 8.66436 [-x*(4*x^3-4*x^2+2*x+1)/(x-1)/(2*x+1)/(x+1)/(2*x-1)^2 ogf] A005986 12.6206 [-(x^2-2)/(x^3-x^2-x+1) ogf_with_Euler_transform] A005987 10.7580 [-(x^4-x^3-1)/(x^6-x^4-x^2+1) ogf_with_Euler_transform] A005990 12.7777 [x/(x-1)^4 egf] A005990 22.3610 [4/(-x+1) lgdegf] A005990 5.13203 [-(14*f(x)+9)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-x) egf] A005990 5.64061 [{(-n^2-6*n-8)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=1} ogf] A005990 77.1400 [-4/(x-1) lgdegf] A005993 10.0364 [(x^2+1)/(x+1)^2/(x-1)^4 ogf] A005993 13.5492 [-(4*x^3+2*x^2+8*x+2)/(x^4-1) lgdogf] A005993 18.1768 [-2*(1+4*x+x^2+2*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A005993 27.8804 [[-x^3+3*x+2] ogf_with_Euler_transform] A005994 12.5642 [-(-5*x^3-3*x^2-9*x-3)/(-x^4+1) lgdogf] A005994 18.4750 [-(3+9*x+3*x^2+5*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A005994 25.8222 [[-x^3+3*x+3] ogf_with_Euler_transform] A005994 8.47028 [-(x^2+1)/(x+1)^2/(x-1)^5 ogf] A005995 11.8044 [-(21*x^3+9*x^2+15*x+3)/(3*x^4-2*x^2-1) lgdogf] A005995 18.4444 [-3*(1+5*x+7*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+1) lgdogf] A005995 9.28437 [(3*x^2+1)/(x+1)^3/(x-1)^6 ogf] A005996 13.9398 [-(3+10*x+4*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A005996 24.3679 [-x^2+2*x+3 ogf_with_Euler_transform] A005996 7.22184 [2*(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A005996 8.40899 [-(-4*x^3-7*x^2-10*x-3)/(-x^4-x^3+x+1) lgdogf] A005997 15.0152 [-(3*x^2+2*x+3)*(1+x^2+4*x)/(x-1)/(x+1)/(x^3+3*x^2+x+1) lgdogf] A005997 8.88220 [(x^3+3*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A005997 9.07742 [-(-3*x^4-14*x^3-14*x^2-14*x-3)/(-x^5-3*x^4+2*x^2+x+1) lgdogf] A005998 12.4311 [-2*(1+5*x+4*x^4+x^5+8*x^3+5*x^2)/(x-1)/(x+1)/(x^4+2*x^3+2*x^2+1) lgdogf] A005998 8.35896 [(x^4+2*x^3+2*x^2+1)/(x+1)^2/(x-1)^4 ogf] A005999 10.0674 [(x^2+x+1)*(x^3+x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A005999 9.21278 [-(1+x^2+4*x)*(x^4+2*x^3+3*x^2+2)/(x-1)/(x+1)/(x^2+x+1)/(x^3+x^2-x+1) lgdogf] A005999 9.60982 [-(-x^6-6*x^5-12*x^4-14*x^3-5*x^2-8*x-2)/(-x^7-2*x^6+x^4+x^3+1) lgdogf] A006000 14.5319 [(2*x^2+1)/(x-1)^4 ogf] A006000 14.7590 [-(-4*x^2-4*x-4)/(-2*x^3+2*x^2-x+1) lgdogf] A006000 33.1817 [-4*(x^2+x+1)/(x-1)/(2*x^2+1) lgdogf] A006000 4.97144 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+2*n*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=4,a(2)=12,a(3)=28} ogf] A006000 7.21048 [(3267*f(x)+3277)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-1) ogf] A006001 18.5895 [-2*(2+x^3+3*x^2)/(x-1)/(2*x^3+1) lgdogf] A006001 5.20682 [f(x)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+f(x)-1) ogf] A006001 8.95879 [-(-2*x^3-6*x^2-4)/(-2*x^4+2*x^3-x+1) lgdogf] A006001 9.37228 [(2*x^3+1)/(x-1)^4 ogf] A006002 12.6916 [x*(x+2)/(x-1)^4 ogf] A006002 17.1865 [-(3*x+9)/(x^2+x-2) lgdogf] A006002 29.9224 [-3*(3+x)/(x+2)/(x-1) lgdogf] A006002 5.49969 [{(4+2*n)*a(n+3)+(-10-n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=2,a(2)=9} ogf] A006002 6.02156 [-(14526*f(x)+19939)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-2*x) ogf] A006003 11.1971 [x*(x^2+x+1)/(x-1)^4 ogf] A006003 15.7189 [-(-2*x^2-5*x-5)/(-x^3+1) lgdogf] A006003 25.0424 [-(5+5*x+2*x^2)/(x-1)/(x^2+x+1) lgdogf] A006003 32.4968 [[-x^2+5] ogf_with_Euler_transform] A006003 4.98405 [{(-3-n)*a(n+4)+5*a(n+3)+5*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=15} ogf] A006003 5.88047 [-(75*f(x)+41)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-x) ogf] A006004 11.3526 [(x^3+x^2+1)/(x-1)^4 ogf] A006004 11.5102 [-(x^3+5*x^2+2*x+4)/(x^4-x^2+x-1) lgdogf] A006004 22.6000 [-(4+2*x+x^3+5*x^2)/(x-1)/(x^3+x^2+1) lgdogf] A006004 4.40818 [{(-49*n^2-293*n-390)*a(n+1)+(68*n^2+204*n-240)*a(n+2)+(-19*n^2-n+168)*a(n+3),a(0)=1,a(1)=4,a(2)=11} ogf] A006004 5.91955 [(15174*f(x)+6505)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-1) ogf] A006007 11.6776 [-(-3*x^2-2*x-5)/(-x^3+x^2-x+1) lgdogf] A006007 25.5886 [[-x^3+x+5] ogf_with_Euler_transform] A006007 26.2991 [-(5+2*x+3*x^2)/(x-1)/(1+x^2) lgdogf] A006007 3.81309 [{(n+3)*a(n+4)+(-7-n)*a(n+3)+(-1+n)*a(n+2)+(-n-3)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=16} ogf] A006007 9.96488 [-x*(x^2+1)/(x-1)^5 ogf] A006008 12.8132 [-(x^2-x+1)*(x+1)*x/(x-1)^5 ogf] A006008 14.1322 [-(2*x^3+3*x^2+5)/(x^4-x^3+x-1) lgdogf] A006008 24.9869 [-(5+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A006008 32.9473 [-x^5+x^2+5 ogf_with_Euler_transform] A006008 4.80494 [{(n^2+7*n+10)*a(n+1)+(-2*n^2-8*n+4)*a(n+2)+(n^2+n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=5,a(3)=15,a(4)=36} ogf] A006009 11.1412 [-(-5*x^3-9*x^2-12*x-4)/(-x^4-x^3+x+1) lgdogf] A006009 18.5734 [-(4+12*x+5*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A006009 32.3018 [-x^2+2*x+4 ogf_with_Euler_transform] A006009 8.74527 [-4*(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A006010 7.29351 [-(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^5 ogf] A006010 7.36105 [-(3*x^5+11*x^4+40*x^3+36*x^2+25*x+5)/(x^6+2*x^5+5*x^4-5*x^2-2*x-1) lgdogf] A006010 9.98018 [-(5+25*x+11*x^4+3*x^5+40*x^3+36*x^2)/(x-1)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A006011 17.3612 [-(4*x+6)/(x^2-1) lgdogf] A006011 34.3918 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A006011 36.1092 [[6-x] ogf_with_Euler_transform] A006011 5.78708 [{(n+1)*a(n+3)-6*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A006011 9.66954 [-3*x^2*(x+1)/(x-1)^5 ogf] A006012 13.8054 [-(2*x-1)/(2*x^2-4*x+1) ogf] A006012 16.0097 [-2*(1-2*x+2*x^2)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A006012 6.98026 [-(7*f(x)-3)*(2*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A006012 7.57615 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=2} ogf] A006012 9.55760 [-(-4*x^2+4*x-2)/(-4*x^3+10*x^2-6*x+1) lgdogf] A006013 11.2665 [1-f(x)+2*f(x)^2*x-f(x)^3*x^2 ogf] A006013 23.7401 [x*(x-1)^2 revogf] A006013 5.23405 [{(27*n^2+108*n+105)*a(n+1)+(-4*n^2-22*n-30)*a(n+2),a(0)=1,a(1)=2} ogf] A006013 72.4647 [x*(x-1)^2 revogf] A006021 7.50728 [-x*(4*x^8+2*x^6+3*x^5+4*x^4+x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A006026 10.3287 [-1/2*(-3*x-1+(5*x^2+2*x+1)^(1/2))/(x+1)^2 revogf] A006026 6.35611 [f(x)^3*x^4+3*f(x)^2*x^3-3*f(x)^2*x^2+3*f(x)*x^2-4*f(x)*x+f(x)+x-1 ogf] A006027 6.70834 [f(x)^3*x^2-f(x)^2*x^2-2*f(x)^2*x+f(x)*x^2+f(x)*x+f(x)-1 ogf] A006027 7.15135 [-1/2+1/2/x+1/2*x+1/2*I*(x^2-x-1)^(1/2)*(3*x^2-3*x+1)^(1/2)/x revogf] A006040 4.68968 [{(-n^2-4*n-4)*a(n+1)+(n^2+6*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A006041 3.61184 [{(-n^3-3*n^2-2*n)*a(n)+(3*n^3+18*n^2+34*n+19)*a(n+1)+(-2*n^3-16*n^2-43*n-38)*a(n+2)+(4+2*n)*a(n+3),a(0)=0,a(1)=2,a(2)=9} ogf] A006043 13.7300 [-2/(3*x-1)^3 ogf] A006043 21.0853 [9/(-3*x+1) lgdogf] A006043 5.04606 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=2,a(1)=18,a(2)=108} ogf] A006043 57.8024 [-9/(3*x-1) lgdogf] A006043 7.85046 [-(f(x)-2)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+2) ogf] A006044 13.5444 [6/(4*x-1)^4 ogf] A006044 25.6876 [16/(-4*x+1) lgdogf] A006044 5.86568 [-(f(x)+6)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+f(x)-6) ogf] A006044 66.5979 [-16/(4*x-1) lgdogf] A006044 7.02775 [{(-n-2)*a(n+2)+(20+4*n)*a(n+1),a(0)=6,a(1)=96} ogf] A006051 4.78329 [(88065909*f(x)-329926)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)-26*x+1) ogf] A006051 5.01854 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=1,a(1)=169,a(2)=32761} ogf] A006051 5.37072 [-(-x^4+52*x^3-4878*x^2+388*x-169)/(-x^5+221*x^4-5266*x^3+5266*x^2-221*x+1) lgdogf] A006051 9.25701 [-(169-388*x+x^4-52*x^3+4878*x^2)/(x-1)/(x^2-194*x+1)/(x^2-26*x+1) lgdogf] A006051 9.27670 [-(x^2-26*x+1)/(x-1)/(x^2-194*x+1) ogf] A006053 12.3337 [-(-3*x^2+4*x+1)/(-x^3+2*x^2+x-1) lgdogf] A006053 19.2526 [x^2/(x^3-2*x^2-x+1) ogf] A006053 24.4401 [-(-1-4*x+3*x^2)/(-2*x^2+1-x+x^3) lgdogf] A006053 7.17597 [{a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A006053 7.37716 [-(2*f(x)+1)*(f(x)*x^3-2*f(x)*x^2-f(x)*x-x^2+f(x)) ogf] A006054 11.8007 [-(-3*x^2+2*x+2)/(-x^3+x^2+2*x-1) lgdogf] A006054 18.4206 [x^2/(x^3-x^2-2*x+1) ogf] A006054 23.3829 [-(-2-2*x+3*x^2)/(-x^2+1-2*x+x^3) lgdogf] A006054 6.86587 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A006054 9.32402 [-f(x)*x^3+f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A006060 3.28159 [(1100823887*f(x)-9038110)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)+58*x+1) ogf] A006060 3.52368 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=1,a(1)=253,a(2)=49141} ogf] A006060 6.51347 [-(x^2+58*x+1)/(x-1)/(x^2-194*x+1) ogf] A006061 3.72528 [(11408373*f(x)-167498)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+x^2-f(x)+22*x+1) ogf] A006061 3.91155 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=1,a(1)=121,a(2)=11881} ogf] A006061 7.17384 [-(121-196*x+x^4+44*x^3-2274*x^2)/(x-1)/(x^2+22*x+1)/(x^2-98*x+1) lgdogf] A006061 7.33416 [-(x^2+22*x+1)/(x-1)/(x^2-98*x+1) ogf] A006062 2.59020 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=37,a(2)=1261} ogf] A006062 4.85149 [-(x+1)^2/(x-1)/(x^2-34*x+1) ogf] A006062 4.89824 [(80847*f(x)-2590)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)+2*x+1) ogf] A006062 6.42835 [-(37-105*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2-34*x+1) lgdogf] A006071 10.2353 [2*(-2-8*x-x^4+x^5-5*x^3-17*x^2)/(x-1)/(x+1)/(x^5-5*x^4+6*x^3+4*x^2+x+1) lgdogf] A006071 7.34124 [(x^5-5*x^4+6*x^3+4*x^2+x+1)/(x+1)/(x-1)^4 ogf] A006077 3.93023 [{(27*n^2+108*n+108)*a(n+1)+(-9*n^2-45*n-57)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A006083 9.08658 [-(x^10-x^8+3*x^6+x^4-2*x^3-x^2-2*x-1)/(x+1)/(x^2-x+1)/(x^2+x+1)^2/(x-1)^2 ogf] A006084 4.72527 [x*(x^19-x^17+x^16-x^15-5*x^14+x^13-x^12-x^11+8*x^10-x^9+x^8+x^7+x^6+5*x^5+x^4+x^3+x^2+9*x+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A006089 3.73750 [-16*(36*x^2-11*x-1)/(25*x-1)/(9*x-1)^2/(x-1)^3 ogf] A006090 10.1041 [-6*(1+5*x+5*x^4+10*x^3+10*x^2)/(2*x+1)/(x^2+x+1)/(1+3*x^2+3*x) lgdogf] A006090 10.5916 [1/(2*x+1)/(x^2+x+1)/(3*x^2+3*x+1) ogf] A006095 15.4813 [-x^2/(x-1)/(2*x-1)/(4*x-1) ogf] A006095 16.9415 [-(7-28*x+24*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A006095 5.85778 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A006095 7.92943 [8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+x^2-f(x) ogf] A006095 9.70469 [-(24*x^2-28*x+7)/(8*x^3-14*x^2+7*x-1) lgdogf] A006096 10.8466 [-(-15+140*x+256*x^3-360*x^2)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A006096 11.8720 [1/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A006096 4.96966 [(13651*f(x)+1024)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A006096 6.96833 [-(-256*x^3+360*x^2-140*x+15)/(-64*x^4+120*x^3-70*x^2+15*x-1) lgdogf] A006097 8.18313 [-(31-620*x+5120*x^4-7936*x^3+3720*x^2)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) lgdogf] A006097 9.87172 [-1/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A006100 11.4037 [-1/(x-1)/(3*x-1)/(9*x-1) ogf] A006100 11.4055 [-(13-78*x+81*x^2)/(x-1)/(3*x-1)/(9*x-1) lgdogf] A006100 3.86565 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=1,a(1)=13,a(2)=130} ogf] A006100 4.26306 [(7651*f(x)-891)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A006100 6.51639 [-(81*x^2-78*x+13)/(27*x^3-39*x^2+13*x-1) lgdogf] A006101 11.2831 [1/(x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A006101 4.764 [(1893257*f(x)+12393)*(729*f(x)*x^4-1080*f(x)*x^3+390*f(x)*x^2-40*f(x)*x+f(x)-1) ogf] A006101 6.61928 [-4*(-10+195*x+729*x^3-810*x^2)/(x-1)/(3*x-1)/(27*x-1)/(9*x-1) lgdogf] A006101 6.63030 [-(-2916*x^3+3240*x^2-780*x+40)/(-729*x^4+1080*x^3-390*x^2+40*x-1) lgdogf] A006102 10.2982 [-1/(x-1)/(81*x-1)/(3*x-1)/(9*x-1)/(27*x-1) ogf] A006102 8.35039 [-(121-7260*x+295245*x^4-352836*x^3+98010*x^2)/(x-1)/(81*x-1)/(3*x-1)/(9*x-1)/(27*x-1) lgdogf] A006105 10.4260 [-1/(x-1)/(4*x-1)/(16*x-1) ogf] A006105 3.53424 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=21,a(2)=357} ogf] A006105 3.82605 [(70993*f(x)-3520)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A006105 5.79222 [-(192*x^2-168*x+21)/(64*x^3-84*x^2+21*x-1) lgdogf] A006105 9.90750 [-3*(7-56*x+64*x^2)/(x-1)/(4*x-1)/(16*x-1) lgdogf] A006106 4.25831 [(14614819*f(x)+16384)*(4096*f(x)*x^4-5440*f(x)*x^3+1428*f(x)*x^2-85*f(x)*x+f(x)-1) ogf] A006106 5.27566 [-(-85+2856*x+16384*x^3-16320*x^2)/(x-1)/(4*x-1)/(64*x-1)/(16*x-1) lgdogf] A006106 5.76125 [-(-16384*x^3+16320*x^2-2856*x+85)/(-4096*x^4+5440*x^3-1428*x^2+85*x-1) lgdogf] A006106 9.96012 [1/(x-1)/(4*x-1)/(64*x-1)/(16*x-1) ogf] A006107 7.18861 [-1/(x-1)/(4*x-1)/(256*x-1)/(64*x-1)/(16*x-1) ogf] A006110 9.21518 [1/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A006111 14.6383 [-(31-310*x+375*x^2)/(x-1)/(25*x-1)/(5*x-1) lgdogf] A006111 14.9081 [-1/(x-1)/(25*x-1)/(5*x-1) ogf] A006111 5.21782 [{a(n+3)-31*a(n+2)+155*a(n+1)-125*a(n),a(0)=1,a(1)=31,a(2)=806} ogf] A006111 5.54106 [(410151*f(x)-10375)*(125*f(x)*x^3-155*f(x)*x^2+31*f(x)*x-f(x)+1) ogf] A006111 8.46134 [-(375*x^2-310*x+31)/(125*x^3-155*x^2+31*x-1) lgdogf] A006112 3.97691 [(2568562823*f(x)+734375)*(15625*f(x)*x^4-19500*f(x)*x^3+4030*f(x)*x^2-156*f(x)*x+f(x)-1) ogf] A006112 5.40260 [-(-62500*x^3+58500*x^2-8060*x+156)/(-15625*x^4+19500*x^3-4030*x^2+156*x-1) lgdogf] A006112 9.23671 [1/(x-1)/(125*x-1)/(25*x-1)/(5*x-1) ogf] A006113 7.85719 [-1/(x-1)/(125*x-1)/(25*x-1)/(625*x-1)/(5*x-1) ogf] A006124 10.0183 [-(6*x^2-2*x+3)/(x-1)^3 ogf] A006124 17.5460 [-(7+8*x+6*x^2)/(x-1)/(6*x^2-2*x+3) lgdogf] A006124 5.40810 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=18} ogf] A006124 6.89144 [(12985*f(x)-18363)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-2*x+3) ogf] A006124 9.54867 [-(-6*x^2-8*x-7)/(-6*x^3+8*x^2-5*x+3) lgdogf] A006127 13.0071 [(x^2+x-1)/(2*x-1)/(x-1)^2 ogf] A006127 17.7119 [-(3-9*x+2*x^3+6*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A006127 7.08421 [(f(x)+17)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)-x+1) ogf] A006127 7.08421 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A006127 9.91789 [-(2*x^3+6*x^2-9*x+3)/(2*x^4-x^3-4*x^2+4*x-1) lgdogf] A006130 14.1717 [-(-6*x-1)/(-3*x^2-x+1) lgdogf] A006130 20.2011 [1/6/x*(-1-x+(1+2*x+13*x^2)^(1/2)) revogf] A006130 20.6133 [-1/(3*x^2+x-1) ogf] A006130 33.3318 [-(1+6*x)/(3*x^2-1+x) lgdogf] A006130 8.19566 [(19*f(x)-18)*(3*f(x)*x^2+f(x)*x-f(x)+1) ogf] A006130 8.29561 [{-a(n+2)+a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A006131 14.5215 [-(-8*x-1)/(-4*x^2-x+1) lgdogf] A006131 20.7140 [1/8/x*(-1-x+(1+2*x+17*x^2)^(1/2)) revogf] A006131 21.1222 [-1/(4*x^2+x-1) ogf] A006131 34.1781 [-(1+8*x)/(4*x^2-1+x) lgdogf] A006131 8.39795 [(29*f(x)-28)*(4*f(x)*x^2+f(x)*x-f(x)+1) ogf] A006131 8.50038 [{-a(n+2)+a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A006134 13.8144 [-(6*x-3)/(4*x^2-5*x+1) lgdogf] A006134 27.0922 [-3*(2*x-1)/(4*x-1)/(x-1) lgdogf] A006134 4.36243 [{(-n-3)*a(n+3)+(13+5*n)*a(n+2)+(-10-4*n)*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A006134 8.18628 [-4*f(x)^2*x^3+9*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A006137 10.1972 [-(5*x^2+3*x+1)/(x-1)^3 ogf] A006137 17.3565 [-(6+16*x+5*x^2)/(x-1)/(1+5*x^2+3*x) lgdogf] A006137 5.50467 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=20} ogf] A006137 7.04773 [(4860*f(x)-13309)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+3*x+1) ogf] A006137 9.56966 [-(-5*x^2-16*x-6)/(-5*x^3+2*x^2+2*x+1) lgdogf] A006138 13.3431 [-(-3*x^2-6*x-2)/(-3*x^3-4*x^2+1) lgdogf] A006138 17.7908 [-(x+1)/(3*x^2+x-1) ogf] A006138 20.1724 [1/2/(3*x+1)*(-1-x+(1+6*x+13*x^2)^(1/2)) revogf] A006138 24.5851 [-(2+6*x+3*x^2)/(x+1)/(3*x^2+x-1) lgdogf] A006138 9.20213 [(37*f(x)-21)*(3*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A006138 9.76324 [{-a(n+2)+a(n+1)+3*a(n),a(0)=1,a(1)=2} ogf] A006139 12.8032 [-(-4*x-2)/(-4*x^2-4*x+1) lgdogf] A006139 17.7063 [(-2*x+(8*x^2+1)^(1/2))/(1+4*x^2)*x revogf] A006139 25.0839 [-2*(2*x+1)/(4*x^2-1+4*x) lgdogf] A006139 4.06991 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(-4*n-8)*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A006139 9.75487 [4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A006149 3.70511 [{(-64*n^3-480*n^2-1136*n-840)*a(n+1)+(n^3+18*n^2+107*n+210)*a(n+2),a(0)=1,a(1)=1} ogf] A006152 21.7889 [-(-2+x)/(x^2-x+1)/(x-1)^2 lgdegf] A006152 3.70999 [{(n^3+5*n^2+6*n)*a(n)+(-2*n^2-9*n-9)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A006152 8.69530 [-(-x+2)/(-x^4+3*x^3-4*x^2+3*x-1) lgdegf] A006157 10.9025 [(x+1)/(x-1)^4 egf] A006157 15.1148 [-(3*x+5)/(x^2-1) lgdegf] A006157 3.93522 [{(-n^2-6*n-8)*a(n+1)+(2*n^2+19*n+40)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=5,a(2)=28} ogf] A006157 32.6535 [-(5+3*x)/(x-1)/(x+1) lgdegf] A006157 5.23663 [(5248*f(x)+7423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-x-1) egf] A006172 8.76764 [-(3*x^4-9*x^3+x^2+10*x-4)/(x-1)/(x^2-3*x+1)/(x^2-x-1) ogf] A006183 44.9359 [(-3+x)/(x-1) lgdegf] A006183 6.61949 [{-a(n)*n+(n+3)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A006185 5.46009 [-(x^8-x^7-x^6+4*x^5-2*x^4-2*x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A006189 11.0108 [-(2*x-1)*(x-1)/(x^2-x+1)/(x^2+3*x-1) ogf] A006189 5.75563 [(102*f(x)-55)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A006190 10.934 [-f(x)*x^2-3*f(x)*x+f(x)-x ogf] A006190 13.4397 [-(-2*x-3)/(-x^2-3*x+1) lgdogf] A006190 17.4352 [-x/(x^2+3*x-1) ogf] A006190 18.1523 [1/2/x*(-3*x-1+(1+6*x+13*x^2)^(1/2)) revogf] A006190 31.7665 [-(3+2*x)/(x^2-1+3*x) lgdogf] A006190 7.96425 [{-a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A006191 10.8425 [(2*x-1)/(x^2-x+1)/(x^2+3*x-1) ogf] A006191 5.29115 [-(6*f(x)-1)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A006191 6.74892 [-(6*x^4+4*x^3-12*x^2+6*x-2)/(2*x^5+3*x^4-8*x^3+11*x^2-6*x+1) lgdogf] A006192 4.40594 [-(291*f(x)+41)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-x^2-f(x)+1) ogf] A006192 8.75186 [-2*(-2+4*x+x^4+x^5-2*x^3-5*x^2)/(x-1)/(x+1)/(x^2-x+1)/(x^2-1+3*x) lgdogf] A006192 8.94743 [(x-1)*(x+1)/(x^2-x+1)/(x^2+3*x-1) ogf] A006198 10.4159 [(-4*x^2+8*x-6+(-(2*x-3)^2*(2*x-1)^3)^(1/2))/(4*x^2-6*x+3)/(2*x-1) lgdegf] A006198 3.18990 [{(n+3)*a(n+1)+(2*n^2+10*n+9)*a(n+2)+(-2*n^2-18*n-37)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=6,a(3)=41} ogf] A006199 3.16371 [{(-3-n)*a(n+1)+(2*n^2+8*n+3)*a(n+2)+(2*n^2+16*n+27)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=-3,a(3)=21} ogf] A006199 6.77035 [(-1/2*(4*x^2+7*x+1)/(x+1)/(2*x+1)^(3/2)+1/2)/x*(2*x+1)^(1/2) lgdegf] A006199 9.56943 [1/2*(-1-7*x-4*x^2+(2*x+1)^(3/2)*x+(2*x+1)^(3/2))/(x+1)/(2*x+1)/x lgdegf] A006221 12.9475 [-(117+485*x+5*x^3+209*x^2)/(x-1)/(x+1)/(5*x^2+92*x+5) lgdogf] A006221 3.62735 [{(41*n^2+190*n+216)*a(n+1)+(-82*n^2-410*n-843)*a(n+2)+(41*n^2+220*n+291)*a(n+3),a(0)=5,a(1)=117,a(2)=535} ogf] A006221 4.57568 [(2739312*f(x)+212289913)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-97*x^2+f(x)-97*x-5) ogf] A006221 8.75099 [-(5*x^3+209*x^2+485*x+117)/(5*x^4+92*x^3-92*x-5) lgdogf] A006221 8.86176 [(x+1)*(5*x^2+92*x+5)/(x-1)^4 ogf] A006222 10.3980 [-(3*x^2+38*x+25)/(3*x^3+13*x^2-13*x-3) lgdogf] A006222 11.4043 [-(3*x^2+16*x+3)/(x-1)^3 ogf] A006222 18.7139 [-(25+38*x+3*x^2)/(x-1)/(3*x^2+16*x+3) lgdogf] A006222 6.04331 [(107*f(x)-1140)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+16*x+3) ogf] A006222 6.20234 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=25,a(2)=69} ogf] A006223 5.48429 [-1/(2*x-1)/(2*x^2-4*x+1)/(2*x^4-16*x^3+20*x^2-8*x+1) ogf] A006228 18.2565 [1/(-x^2+1)^(1/2) lgdegf] A006228 25.9928 [1/(-(x-1)*(x+1))^(1/2) lgdegf] A006230 11.9814 [-(x+1)*(6*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A006230 6.19038 [(19751*f(x)-39162)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+6*x^2-f(x)+7*x+1) ogf] A006230 6.39387 [-(13-10*x+36*x^4+84*x^3-95*x^2)/(x-1)/(3*x-1)/(2*x-1)/(6*x+1)/(x+1) lgdogf] A006230 6.45954 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=13,a(2)=73} ogf] A006230 7.07473 [-(-36*x^4-84*x^3+95*x^2+10*x-13)/(-36*x^5+24*x^4+35*x^3-25*x^2+x+1) lgdogf] A006234 13.2108 [-(-6*x+4)/(-6*x^2+5*x-1) lgdogf] A006234 14.0915 [-(2*x-1)/(3*x-1)^2 ogf] A006234 17.7498 [-1/2*(-1-6*x+(1+4*x)^(1/2))/(2+9*x) revogf] A006234 23.0090 [-2*(-2+3*x)/(3*x-1)/(2*x-1) lgdogf] A006234 7.46022 [(3*f(x)+5)*(9*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A006234 7.73316 [{-a(n+2)+6*a(n+1)-9*a(n),a(0)=1,a(1)=4} ogf] A006235 6.77192 [(x^4+2*x^3-10*x^2+2*x+1)/(x-1)^2/(x^2-4*x+1)^2 ogf] A006235 8.47480 [-2*(6-15*x-30*x^4+x^6+3*x^5+52*x^3-9*x^2)/(x-1)/(x^2-4*x+1)/(x^4+2*x^3-10*x^2+2*x+1) lgdogf] A006238 10.7053 [-(x-1)*(x+1)/(x^4-15*x^3+32*x^2-15*x+1) ogf] A006238 5.35267 [(103328*f(x)-1259)*(f(x)*x^4-15*f(x)*x^3+32*f(x)*x^2-15*f(x)*x+x^2+f(x)-1) ogf] A006238 6.49966 [-(-2*x^5+15*x^4+4*x^3-60*x^2+66*x-15)/(-x^6+15*x^5-31*x^4+31*x^2-15*x+1) lgdogf] A006238 9.54639 [-(15-66*x-15*x^4+2*x^5-4*x^3+60*x^2)/(x-1)/(x+1)/(x^4-15*x^3+32*x^2-15*x+1) lgdogf] A006239 4.21078 [-(303939*f(x)+122444)*(49*f(x)*x^4-91*f(x)*x^3+54*f(x)*x^2-13*f(x)*x+7*x^2+f(x)-1) ogf] A006239 8.72670 [-(7*x^2-1)/(x-1)/(7*x-1)/(7*x^2-5*x+1) ogf] A006240 4.99912 [(3375*x^6-2505*x^4+1200*x^3-167*x^2+1)/(x-1)/(15*x-1)/(3*x-1)/(5*x-1)/(45*x^2-12*x+1)/(5*x^2-4*x+1) ogf] A006244 11.4424 [-(x^2-8*x+1)/(x-1)/(x^2-98*x+1) ogf] A006244 11.6358 [-(91-196*x+x^4-16*x^3+696*x^2)/(x-1)/(x^2-8*x+1)/(x^2-98*x+1) lgdogf] A006244 5.95763 [(407441*f(x)-3436)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+x^2-f(x)-8*x+1) ogf] A006244 6.10909 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=1,a(1)=91,a(2)=8911} ogf] A006244 6.55339 [-(-x^4+16*x^3-696*x^2+196*x-91)/(-x^5+107*x^4-892*x^3+892*x^2-107*x+1) lgdogf] A006253 10.0911 [-(-2*x^3+6*x^2-6*x-2)/(-x^4+4*x^3-4*x+1) lgdogf] A006253 13.7086 [-(x-1)/(x+1)/(x^2-4*x+1) ogf] A006253 16.2165 [-2*(1+3*x+x^3-3*x^2)/(x-1)/(x+1)/(x^2-4*x+1) lgdogf] A006253 6.4871 [-(1318*f(x)-111)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A006253 6.48711 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A006256 3.58244 [{(729*n^2+2916*n+2835)*a(n+1)+(-216*n^2-1026*n-1230)*a(n+2)+(16*n^2+88*n+120)*a(n+3),a(0)=1,a(1)=6,a(2)=39} ogf] A006256 6.18208 [729*f(x)^3*x^2-216*f(x)^3*x+16*f(x)^3+162*f(x)^2*x-24*f(x)^2+9*f(x)-1 ogf] A006261 11.8911 [-2*(1-3*x+3*x^4-3*x^3+5*x^2)/(x-1)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A006261 6.77047 [(x^2-x+1)*(3*x^2-3*x+1)/(x-1)^6 ogf] A006298 11.1430 [{(-n-3)*a(n+3)+(29+3*n)*a(n+2)+(22+4*n)*a(n+1),a(0)=21,a(1)=483,a(2)=6468} ogf] A006298 72.7805 [-(23+18*x)/(x+1)/(4*x-1) lgdogf] A006300 9.95038 [40-372*x-3600*x^2+(-2+60*x-2880*x^3-192*x^2)*f(x)+(20*x^2-576*x^4-48*x^3-x)*f(x)^2 lgdogf] A006318 12.2860 [-1/2*(-x-1+(1-6*x+x^2)^(1/2))/(1-6*x+x^2)^(1/2)/x lgdogf] A006318 12.6027 [-f(x)^2*x-f(x)*x+f(x)-1 ogf] A006318 3.57481 [{(n^2+n)*a(n)+(-5*n^2-11*n-6)*a(n+1)+(-5*n^2-29*n-42)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A006318 43.0010 [-x*(x-1)/(1+x) revogf] A006319 12.2754 [1/2*(x+1)*((1-6*x+x^2)^(1/2)+x-1)/x/(x-1)/(1-6*x+x^2)^(1/2) lgdogf] A006319 8.28228 [f(x)^2*x-f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+1 ogf] A006320 4.7421 [-f(x)^2*x^3-f(x)*x^3+6*f(x)*x^2-6*f(x)*x+f(x)-1 ogf] A006320 8.95350 [-3/2*(-x-1+(1-6*x+x^2)^(1/2))/(1-6*x+x^2)^(1/2)/x lgdogf] A006321 12.4860 [2*(-1+6*x-x^2+((x+1)^2*(1-6*x+x^2))^(1/2))/x/(1-6*x+x^2) lgdogf] A006321 3.35734 [{(-n^2-4*n)*a(n)+(5*n^2+26*n+45)*a(n+1)+(5*n^2+44*n+108)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=8,a(2)=48} ogf] A006321 5.15766 [(3*f(x)+139)*(f(x)^2*x^4-f(x)*x^4+8*f(x)*x^3-16*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A006322 21.3321 [-(4+x)*(3*x+2)/(x-1)/(x^2+3*x+1) lgdogf] A006322 8.82087 [-(x^2+3*x+1)/(x-1)^5 ogf] A006323 19.7061 [-(10+22*x+3*x^2)/(x-1)/(x^2+5*x+1) lgdogf] A006323 8.65967 [-(x^2+5*x+1)/(x-1)^5 ogf] A006324 21.8173 [-(11+26*x+3*x^2)/(x-1)/(x^2+6*x+1) lgdogf] A006324 3.76181 [{(n+4)*a(n+4)+(4+5*n)*a(n+3)+(-36-5*n)*a(n+2)+(-4-n)*a(n+1),a(0)=1,a(1)=11,a(2)=46,a(3)=130} ogf] A006324 9.57118 [-(x^2+6*x+1)/(x-1)^5 ogf] A006325 34.5617 [[7-2*x] ogf_with_Euler_transform] A006325 36.1940 [-(7+3*x)/(x+1)/(x-1) lgdogf] A006325 5.53906 [{(n+1)*a(n+3)-7*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A006325 8.40409 [-x^2*(x+1)^2/(x-1)^5 ogf] A006327 16.6290 [x*(x+2)/(x-1)/(x^2+x-1) ogf] A006327 20.6130 [-(-5+2*x^3+6*x^2)/(x+2)/(x-1)/(x^2+x-1) lgdogf] A006327 8.4877 [-(116*f(x)+55)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-2*x) ogf] A006327 8.76151 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A006328 8.29153 [-(x+1)*(x^2+x-5)/(x-1)/(x^2+x-1)/(x^3-x^2-2*x+1) ogf] A006331 11.7120 [2*(x+1)*x/(x-1)^4 ogf] A006331 36.0105 [[5-x] ogf_with_Euler_transform] A006331 37.5071 [-(5+3*x)/(x-1)/(x+1) lgdogf] A006331 5.63913 [-(1072*f(x)+1793)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-2*x) ogf] A006331 5.68121 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=2,a(2)=10} ogf] A006332 14.2425 [-2*(7+28*x+2*x^3+19*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A006332 3.87623 [{(-2*n^2-15*n-28)*a(n+1)+(4*n^2+24*n+62)*a(n+2)+(-2*n^2-9*n-10)*a(n+3),a(0)=0,a(1)=2,a(2)=28} ogf] A006332 6.25086 [-2*x*(x+1)*(x^2+6*x+1)/(x-1)^7 ogf] A006333 3.85878 [2*x*(x+1)*(x^4+19*x^3+56*x^2+19*x+1)/(x-1)^10 ogf] A006333 8.19351 [-5*(6+66*x+25*x^4+x^5+121*x^3+165*x^2)/(x-1)/(x+1)/(x^4+19*x^3+56*x^2+19*x+1) lgdogf] A006334 5.41046 [{(-2*n^3-33*n^2-181*n-330)*a(n+1)+(2*n^3+9*n^2+13*n+6)*a(n+2),a(0)=0,a(1)=2} ogf] A006334 6.27682 [-(55+1232*x+10829*x^4+301*x^6+3164*x^5+14014*x^3+7007*x^2+6*x^7)/(x-1)/(x+1)/(x^6+41*x^5+323*x^4+678*x^3+323*x^2+41*x+1) lgdogf] A006335 19.8366 [1/108+2/3*x-1/108*(-(24*x-1)^3)^(1/2) revogf] A006335 5.87352 [{(54*n^2+162*n+120)*a(n+1)+(-2*n^2-11*n-15)*a(n+2),a(0)=1,a(1)=2} ogf] A006335 8.77573 [-64*f(x)^3*x^2-16*f(x)^2*x+72*f(x)*x-f(x)-54*x+1 ogf] A006342 11.9898 [-(1+2*x+12*x^3-11*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A006342 14.5493 [-(2*x-1)/(x-1)/(3*x-1)/(x+1) ogf] A006342 6.88493 [{-a(n+3)+3*a(n+2)+a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A006342 7.13991 [-(19*f(x)-3)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A006343 15.1762 [1/2/(1+x+x^3)*(2+x+(-x^2*(-1+4*x))^(1/2))*x revogf] A006343 7.27982 [-f(x)^3*x^3+f(x)^2*x-f(x)^2-f(x)*x+2*f(x)-1 ogf] A006347 4.27962 [{(-n-4)*a(n+1)+(-n-4)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A006348 5.15050 [{(-n-5)*a(n+1)+(-n-5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A006351 58.9160 [-x+2*ln(1+x) revegf] A006353 8.53826 [-(-4*x^4+x^3-x^2-3*x-5)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A006355 10.7327 [f(x)*x^2+f(x)*x+x^2-f(x)-x+1 ogf] A006355 14.3777 [-(x^2-x+1)/(x^2+x-1) ogf] A006355 25.0343 [2*x*(-2+x)/(x^2-x+1)/(x^2+x-1) lgdogf] A006355 7.54475 [{-a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=0,a(2)=2} ogf] A006356 11.3745 [-(x^2-x-1)/(x^3-x^2-2*x+1) ogf] A006356 17.0060 [-(3+x^4-2*x^3)/(x^2-x-1)/(x^3-x^2-2*x+1) lgdogf] A006356 5.93029 [-(25*f(x)+11)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A006356 6.19504 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A006357 10.3774 [-(4+4*x-2*x^4+x^6+2*x^5-4*x^3+2*x^2)/(x+1)/(x^3-3*x+1)/(x^3+x^2-2*x-1) lgdogf] A006357 5.17307 [-(17*f(x)-11)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A006357 9.60712 [-(x^3+x^2-2*x-1)/(x+1)/(x^3-3*x+1) ogf] A006358 6.59531 [-(x-1)*(x^3-3*x-1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A006358 7.06649 [-(5+5*x^4-4*x^6+8*x^5-10*x^3-2*x^7+x^8)/(x-1)/(x^3-3*x-1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) lgdogf] A006359 6.73307 [-(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) ogf] A006367 10.7804 [(x-1)^2/(x^2+x-1)^2 ogf] A006367 27.1488 [-2*x*(-2+x)/(x-1)/(x^2+x-1) lgdogf] A006367 4.15559 [{(n+4)*a(n+4)+(-2*n-6)*a(n+3)-4*a(n+2)+(n+3)*a(n+1),a(0)=1,a(1)=0,a(2)=2,a(3)=2} ogf] A006367 5.72192 [(5*f(x)+11)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)+2*x-1) ogf] A006368 10.5659 [x*(x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A006368 9.94686 [-(3+4*x+21*x^4+9*x^6+6*x^5+12*x^3+15*x^2+2*x^7)/(x-1)/(x+1)/(1+x^2)/(x^4+3*x^3+x^2+3*x+1) lgdogf] A006369 11.5358 [-(3+4*x+8*x^4+2*x^6+9*x^5+19*x^3+15*x^2)/(x-1)/(x^2+x+1)/(x^2+3*x+1)/(1+x^2) lgdogf] A006369 11.5526 [x*(x^2+1)*(x^2+3*x+1)/(x^2+x+1)^2/(x-1)^2 ogf] A006370 14.4062 [x*(2*x^2+x+4)/(x-1)^2/(x+1)^2 ogf] A006370 18.9931 [-(1+20*x+4*x^3+3*x^2)/(x-1)/(x+1)/(2*x^2+x+4) lgdogf] A006370 7.98892 [-(11095*f(x)-155857)*(f(x)*x^4-2*f(x)*x^2-2*x^3-x^2+f(x)-4*x) ogf] A006380 3.96886 [(x^8-x^7+x^6+x^4+x^2-x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^8 ogf] A006407 3.59231 [(2*f(x)*x-f(x)-x+1)^3 ogf] A006411 25.8787 [-10*(x+2)/(2*x+3)/(x-1) lgdogf] A006411 3.95334 [{(-3*n-9)*a(n+3)+(22+n)*a(n+2)+(12+2*n)*a(n+1),a(0)=3,a(1)=20,a(2)=75} ogf] A006411 7.61019 [(2*x+3)/(x-1)^6 ogf] A006414 23.9987 [-(9+17*x+4*x^2)/(x-1)/(x^2+3*x+1) lgdogf] A006414 4.03146 [{(n+4)*a(n+4)+(-3+2*n)*a(n+3)+(-21-2*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=9,a(2)=40,a(3)=125} ogf] A006414 9.16241 [(x^2+3*x+1)/(x-1)^6 ogf] A006416 17.0865 [-2*(x+1)*(x-2)^2/(x-1)/(2*x^3-6*x^2+4*x+1) lgdogf] A006416 3.89672 [{(15*n^2+69*n+78)*a(n+1)+(-44*n^2-262*n-396)*a(n+2)+(29*n^2+151*n+192)*a(n+3),a(0)=1,a(1)=8,a(2)=20} ogf] A006416 5.30857 [(7*f(x)+65)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+6*x^2+f(x)-4*x-1) ogf] A006416 9.51406 [(2*x^3-6*x^2+4*x+1)/(x-1)^4 ogf] A006419 4.28983 [{(16*n^2+88*n+120)*a(n+1)+(-8*n^2-50*n-70)*a(n+2)+(n^2+7*n+10)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A006419 6.71451 [16*f(x)^2*x^4-8*f(x)^2*x^3+f(x)^2*x^2-12*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A006431 4.87839 [x*(36*x^13+28*x^12+32*x^11+21*x^10+17*x^9+14*x^8+13*x^7+12*x^6+5*x^5+2*x^4-x^3-3*x^2-2*x-1)/(4*x^3-1) ogf] A006438 10.2535 [f(x)^2*x^2-8*f(x)^2*x+f(x)^2-1 egf] A006438 25.3856 [-5/2*exp(-x)-3/2*exp(x)+4 revegf] A006438 35.2577 [-(x-4)/(x^2+1-8*x) lgdegf] A006438 4.48592 [{(-n^2-4*n-4)*a(n+1)+(8*n+20)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=47} ogf] A006442 10.017 [f(x)^2*x^2-10*f(x)^2*x+f(x)^2-1 ogf] A006442 31.4552 [-(-5+x)/(x^2+1-10*x) lgdogf] A006442 4.19010 [{(-n-3)*a(n+3)+(25+10*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=5,a(2)=37} ogf] A006446 14.1308 [-2*(2*x^2+1)*(x^3-x^2-2*x-1)/(x-1)/(x^2+x+1)/(x^3-x^2-x-1) lgdogf] A006446 9.83407 [(x^3-x^2-x-1)/(x^2+x+1)^2/(x-1)^3 ogf] A006451 6.76861 [-(-5-20*x-19*x^4+5*x^6-16*x^5+42*x^3+19*x^2+2*x^7)/(x-1)/(-1+x^2+2*x)/(x^2-2*x-1)/(x^3+2*x^2-3*x-2) lgdogf] A006451 7.64264 [x*(x^3+2*x^2-3*x-2)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A006452 10.5176 [-(2*x^3+4*x^2-x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A006452 6.57347 [(112*f(x)-31)*(f(x)*x^4-6*f(x)*x^2+2*x^3+4*x^2+f(x)-x-1) ogf] A006452 8.93382 [-(1+4*x+9*x^4+2*x^6+8*x^5-4*x^3)/(-1+x^2+2*x)/(x^2-2*x-1)/(2*x^3+4*x^2-x-1) lgdogf] A006453 17.2067 [-7/2*exp(-x)-5/2*exp(x)+6 revegf] A006453 21.5083 [-(-6+x)/(x^2+1-12*x) lgdegf] A006453 3.01865 [{(-n^2-4*n-4)*a(n+1)+(12*n+30)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=107} ogf] A006453 6.88629 [-f(x)^2*x^2+12*f(x)^2*x-f(x)^2+1 egf] A006454 6.58466 [-(5+70*x-41*x^4+3*x^6+14*x^5-276*x^3+33*x^2)/(x-1)/(x^2+6*x+1)/(1-6*x+x^2)/(x^2+4*x+1) lgdogf] A006454 9.19364 [-3*x*(x^2+4*x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A006457 6.56652 [-(5-x+12*x^4+16*x^6-4*x^5-4*x^3-16*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(2*x^3+x+1) lgdogf] A006457 9.77367 [(2*x^3+x+1)/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A006458 7.53801 [(6*x^5+2*x^4+x^2+2*x+1)/(3*x-1)/(2*x^3+2*x^2-1)/(x-1)^2 ogf] A006469 3.79739 [{(-10*n-40)*a(n+4)+(82+n)*a(n+3)+(72+12*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=10,a(1)=79,a(2)=340,a(3)=1071} ogf] A006469 8.09851 [(3*x^2-9*x-10)/(x-1)^7 ogf] A006470 13.2582 [(3*x+2)/(x-1)^6 ogf] A006470 45.4615 [-15*(x+1)/(3*x+2)/(x-1) lgdogf] A006470 6.88740 [{(-2*n-6)*a(n+3)+(13-n)*a(n+2)+(18+3*n)*a(n+1),a(0)=2,a(1)=15,a(2)=60} ogf] A006472 7.33043 [{(n^2+5*n+6)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A006478 13.8472 [-1/(x-1)/(x^2+x-1)^2 ogf] A006478 26.7264 [-(-3-x+5*x^2)/(x-1)/(x^2+x-1) lgdogf] A006478 4.36071 [{(-n-4)*a(n+4)+(9+2*n)*a(n+3)+a(n+2)+(-6-n)*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=18} ogf] A006478 6.99536 [f(x)*x^5+f(x)*x^4-3*f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-f(x) ogf] A006479 4.79691 [x^3*(x^2+x+1)/(x-1)/(x^2+x-1)^3 ogf] A006479 9.07911 [-(-5-6*x+5*x^4+4*x^3+5*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1) lgdogf] A006480 11.3328 [hypergeom([1/3,2/3],[1],27*x) ogf] A006480 4.60685 [{(-27*n^2-81*n-60)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=6} ogf] A006483 13.3288 [-(6*x^2-1)/(x-1)/(4*x^2+2*x-1) ogf] A006483 14.0833 [-(3-8*x+24*x^4+6*x^2)/(x-1)/(-1+2*x+4*x^2)/(-1+6*x^2) lgdogf] A006483 6.78341 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A006483 6.90675 [(85*f(x)-111)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+6*x^2+f(x)-1) ogf] A006484 22.5549 [-(3+2*x+15*x^2)/(x-1)/(5*x^2-2*x+1) lgdogf] A006484 4.06339 [{(n+3)*a(n+4)+(-3*n-9)*a(n+3)+(5+7*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=10} ogf] A006484 9.64442 [-x*(5*x^2-2*x+1)/(x-1)^5 ogf] A006490 12.2307 [(2*x^2-2*x+1)/(x^2+x-1)^2 ogf] A006490 16.8456 [-2*x*(3+2*x^2-3*x)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A006490 4.85012 [{(-n^2-7*n-12)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A006490 6.16 [-(275*f(x)+467)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A006491 13.0155 [-x*(-8+6*x^3-16*x^2+17*x)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A006491 9.43416 [(x-1)*(2*x^2-2*x+1)/(x^2+x-1)^3 ogf] A006492 6.54034 [(2*x^2-2*x+1)*(x-1)^2/(x^2+x-1)^4 ogf] A006492 8.38415 [-2*x*(-5+4*x^3-11*x^2+11*x)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A006493 13.9817 [-x*(-12+10*x^3-28*x^2+27*x)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A006493 5.41970 [(2*x^2-2*x+1)*(x-1)^3/(x^2+x-1)^5 ogf] A006495 13.5440 [-(x-1)/(5*x^2-2*x+1) ogf] A006495 18.2796 [-(1-10*x+5*x^2)/(x-1)/(5*x^2-2*x+1) lgdogf] A006495 7.17036 [(4*f(x)-3)*(5*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A006495 7.43270 [{a(n+2)-2*a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A006496 12.7469 [-5*f(x)*x^2+2*f(x)*x-f(x)+2*x ogf] A006496 20.3261 [2*x/(5*x^2-2*x+1) ogf] A006496 31.7462 [-2*(-1+5*x)/(5*x^2-2*x+1) lgdogf] A006496 9.28477 [{a(n+2)-2*a(n+1)+5*a(n),a(0)=0,a(1)=2} ogf] A006497 14.0915 [(3*x-2)/(x^2+3*x-1) ogf] A006497 17.7498 [-(-3-4*x+3*x^2)/(3*x-2)/(x^2+3*x-1) lgdogf] A006497 6.96834 [-(13*f(x)-17)*(f(x)*x^2+3*f(x)*x-f(x)-3*x+2) ogf] A006497 7.73316 [{-a(n+2)+3*a(n+1)+a(n),a(0)=2,a(1)=3} ogf] A006498 20.4961 [-1/(x^2+1)/(x^2+x-1) ogf] A006498 20.6584 [-(x+1)*(4*x^2-x+1)/(1+x^2)/(x^2+x-1) lgdogf] A006498 6.11578 [{a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A006498 7.66017 [(f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x-f(x)+1) ogf] A006499 10.5948 [-(2*x^3+6*x^2+2*x+1)/(x^2+1)/(x^2+x-1) ogf] A006499 5.84830 [{-a(n+4)+a(n+3)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=12} ogf] A006499 6.04164 [(25*f(x)-52)*(f(x)*x^4+f(x)*x^3+2*x^3+f(x)*x+6*x^2-f(x)+2*x+1) ogf] A006499 9.07220 [-(3+12*x+12*x^4+2*x^6+12*x^5+4*x^3+3*x^2)/(1+x^2)/(x^2+x-1)/(2*x^3+6*x^2+2*x+1) lgdogf] A006500 5.27553 [-(x^7+2*x^6+x^5-x^4-3*x^3-x^2-x-1)/(x^2+x-1)/(x^6-x^3-1) ogf] A006501 16.1958 [-2*(1+2*x+3*x^4+x^3+5*x^2)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A006501 24.8841 [-x^3+2*x^2+x+2 ogf_with_Euler_transform] A006501 8.50965 [(x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A006502 4.05388 [-(3*x^8+20*x^7+39*x^6+15*x^5-5*x^4+10*x^3-18*x^2+7*x-1)/(x^2+3*x-1)/(x^2+2*x-1)^2/(x^2+x-1)^3 ogf] A006503 12.7229 [-x*(2*x-3)/(x-1)^4 ogf] A006503 26.1173 [-2*(-5+3*x)/(x-1)/(2*x-3) lgdogf] A006503 5.47673 [{(-6-3*n)*a(n+3)+(15+5*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=3,a(2)=10} ogf] A006503 6.41075 [(74*f(x)+1229)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-3*x) ogf] A006504 10.1794 [-(x^2-5*x+5)/(x-1)^5 ogf] A006504 23.2182 [-(20-18*x+3*x^2)/(x-1)/(x^2-5*x+5) lgdogf] A006504 3.94204 [{(-5*n-20)*a(n+4)+(50+10*n)*a(n+3)+(-30-6*n)*a(n+2)+(n+4)*a(n+1),a(0)=5,a(1)=20,a(2)=51,a(3)=105} ogf] A006505 14.4804 [-a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=0,a(2)=1/2 lgdegf] A006516 10.6115 [-8*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A006516 16.6633 [-1/16*(-1-6*x+(1+12*x+4*x^2)^(1/2))/x revogf] A006516 18.9720 [x/(4*x-1)/(2*x-1) ogf] A006516 22.8349 [-2*(-3+8*x)/(4*x-1)/(2*x-1) lgdogf] A006516 7.72933 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A006522 14.0533 [-x^2*(4*x^2-2*x+3)/(x-1)/(4*x^4-9*x^3+10*x^2-5*x+1) lgdogf] A006522 4.25969 [-(f(x)-1)*(f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+4*x^4-10*f(x)*x^2-9*x^3+5*f(x)*x+10*x^2-f(x)-5*x+1) ogf] A006522 7.54319 [-(4*x^4-9*x^3+10*x^2-5*x+1)/(x-1)^5 ogf] A006527 11.7465 [x*(x^2+1)/(x-1)^4 ogf] A006527 26.1637 [[-x^3+x+4] ogf_with_Euler_transform] A006527 28.9323 [-2*(2+x+x^2)/(x-1)/(1+x^2) lgdogf] A006527 3.89553 [{(n+3)*a(n+4)+(-6-n)*a(n+3)+(-1+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=11} ogf] A006527 7.41285 [f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)-x ogf] A006528 20.4471 [-6*(1+2*x+2*x^2)/(x-1)/(4*x^2+x+1) lgdogf] A006528 3.90029 [{(n+3)*a(n+4)-6*a(n+3)+(-9+3*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=24} ogf] A006528 8.50546 [-x*(4*x^2+x+1)/(x-1)^5 ogf] A006529 11.9554 [-2*(5+27*x+77*x^3+141*x^2)/(x-1)/(77*x^3+17*x^2+5*x+1) lgdogf] A006529 7.05260 [-x*(77*x^3+17*x^2+5*x+1)/(x-1)^5 ogf] A006542 24.2437 [-5*(2+4*x+x^2)/(x-1)/(x^2+3*x+1) lgdogf] A006542 3.92988 [{(-n-4)*a(n+4)+(4-2*n)*a(n+3)+(24+2*n)*a(n+2)+(6+n)*a(n+1),a(0)=1,a(1)=10,a(2)=50,a(3)=175} ogf] A006542 8.14335 [-(x^2+3*x+1)/(x-1)^7 ogf] A006550 5.59713 [x*(6*x^5-14*x^4-10*x^3-8*x^2-3*x-1)/(x-1)^7 ogf] A006550 8.98120 [-2*(-5-17*x-6*x^4+6*x^5-48*x^3-35*x^2)/(x-1)/(6*x^5-14*x^4-10*x^3-8*x^2-3*x-1) lgdogf] A006564 10.9655 [(6*x^2+8*x+1)/(x-1)^4 ogf] A006564 21.2020 [-12*(1+3*x+x^2)/(x-1)/(6*x^2+8*x+1) lgdogf] A006564 3.74564 [{(n+4)*a(n+4)+(9+7*n)*a(n+3)+(-40-2*n)*a(n+2)+(-18-6*n)*a(n+1),a(0)=1,a(1)=12,a(2)=48,a(3)=124} ogf] A006564 5.48274 [(88965*f(x)+570419)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-8*x-1) ogf] A006565 5.35929 [-x*(10*x^4+49*x^3+53*x^2+7*x+1)/(x-1)^7 ogf] A006565 9.17562 [-2*(7+74*x+15*x^4+118*x^3+206*x^2)/(x-1)/(10*x^4+49*x^3+53*x^2+7*x+1) lgdogf] A006566 18.7027 [-4*(5+17*x+5*x^2)/(x-1)/(10*x^2+16*x+1) lgdogf] A006566 3.66455 [{(n+3)*a(n+4)+(10+15*n)*a(n+3)+(-74-6*n)*a(n+2)+(-20-10*n)*a(n+1),a(0)=0,a(1)=1,a(2)=20,a(3)=84} ogf] A006566 5.07012 [-(3159*f(x)+19553)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-10*x^3-4*f(x)*x-16*x^2+f(x)-x) ogf] A006566 9.86985 [x*(10*x^2+16*x+1)/(x-1)^4 ogf] A006571 7.87164 [-(-4*x^10-2*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x^11-1) ogf_with_Euler_transform] A006578 14.9060 [-x*(2*x+1)/(x+1)/(x-1)^3 ogf] A006578 23.2703 [-2*(2+4*x+3*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A006578 4.54354 [{(-3-n)*a(n+4)-2*n*a(n+3)+(9+n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=8} ogf] A006578 7.65444 [(135*f(x)-319)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+x) ogf] A006584 27.8518 [-2*(1+3*x)/(x-1)/(x+1) lgdogf] A006584 29.1597 [[2+2*x] ogf_with_Euler_transform] A006584 4.56632 [{-n*a(n+3)+2*a(n+2)+(4+n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A006584 8.93410 [2*x^3/(x+1)^2/(x-1)^4 ogf] A006587 4.29091 [{(54*n^2+162*n+120)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=3,a(1)=36} ogf] A006587 9.16364 [-108*f(x)^3*x+4*f(x)^3-27*f(x)-27 ogf] A006587 9.32164 [3*hypergeom([1/3,2/3],[1/2],27*x) ogf] A006588 12.0179 [-108*f(x)^3*x+4*f(x)^3-3*f(x)-1 ogf] A006588 4.15889 [{(54*n^2+162*n+120)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=12} ogf] A006588 9.70407 [hypergeom([1/3,2/3],[1/2],27*x) ogf] A006589 14.5711 [-(7-18*x+12*x^2)/(x-1)/(2*x-1)/(3*x-2) lgdogf] A006589 5.07738 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A006589 6.63045 [4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-3*x^2-f(x)+2*x ogf] A006589 9.88753 [x*(3*x-2)/(x-1)/(2*x-1)^2 ogf] A006592 11.3326 [4*x*(4*x^2+10*x+1)/(x-1)^4 ogf] A006592 22.0778 [-2*(7+19*x+4*x^2)/(x-1)/(4*x^2+10*x+1) lgdogf] A006592 4.27109 [{(n+3)*a(n+4)+(4+9*n)*a(n+3)+(-44-6*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=4,a(2)=56,a(3)=216} ogf] A006592 5.70434 [-(82625*f(x)+1233758)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-16*x^3-4*f(x)*x-40*x^2+f(x)-4*x) ogf] A006595 11.0301 [-1/2*(x^2-2*x+2)/(x-1)^3 egf] A006595 17.0778 [-(4-2*x+x^2)/(x-1)/(x^2-2*x+2) lgdegf] A006595 6.0075 [(38*f(x)+7)*(2*f(x)*x^3-6*f(x)*x^2+6*f(x)*x+x^2-2*f(x)-2*x+2) egf] A006597 10.7675 [x*(4*x^2+10*x+1)/(x-1)^4 ogf] A006597 20.6771 [-2*(7+19*x+4*x^2)/(x-1)/(4*x^2+10*x+1) lgdogf] A006597 4.02423 [{(n+3)*a(n+4)+(4+9*n)*a(n+3)+(-44-6*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=14,a(3)=54} ogf] A006597 5.38377 [-(165250*f(x)+616879)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-10*x^2+f(x)-x) ogf] A006603 5.74975 [-f(x)^2*x^4-f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A006604 5.55318 [-f(x)^2*x^4+f(x)^2*x^3+f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x^2+f(x)*x+f(x)-1 ogf] A006605 19.9392 [1/2*(-x+1+(-(1+x)*(-1+3*x))^(1/2))*x revogf] A006629 23.3413 [16*x/(1+(1+4*x)^(1/2))^4 revogf] A006629 3.86736 [{(27*n^3+216*n^2+573*n+504)*a(n+1)+(-4*n^3-38*n^2-116*n-112)*a(n+2),a(0)=1,a(1)=4} ogf] A006629 7.43338 [-f(x)^3*x^4+2*f(x)^2*x^2+4*f(x)*x-f(x)+1 ogf] A006630 4.93628 [{(27*n^3+270*n^2+897*n+990)*a(n+1)+(-4*n^3-46*n^2-166*n-180)*a(n+2),a(0)=1,a(1)=6} ogf] A006630 8.99304 [216+(-36+324*x)*f(x)+(-24*x+162*x^2)*f(x)^2+(27*x^3-4*x^2)*f(x)^3 lgdogf] A006631 11.3360 [512+(-64+576*x)*f(x)+(-32*x+216*x^2)*f(x)^2+(27*x^3-4*x^2)*f(x)^3 lgdogf] A006631 4.99588 [{(27*n^3+324*n^2+1293*n+1716)*a(n+1)+(-4*n^3-54*n^2-224*n-264)*a(n+2),a(0)=1,a(1)=8} ogf] A006632 4.57634 [{(256*n^3+1664*n^2+3568*n+2520)*a(n+1)+(-27*n^3-216*n^2-573*n-504)*a(n+2),a(0)=1,a(1)=3} ogf] A006632 69.2393 [-x*(x-1)^3 revogf] A006634 4.23524 [{(-256*n^4-3712*n^3-20144*n^2-48488*n-43680)*a(n+1)+(27*n^4+432*n^3+2517*n^2+6252*n+5460)*a(n+2),a(0)=1,a(1)=9} ogf] A006635 3.55231 [{(-256*n^4-4480*n^3-29360*n^2-85400*n-93024)*a(n+1)+(27*n^4+513*n^3+3516*n^2+10092*n+9792)*a(n+2),a(0)=1,a(1)=12} ogf] A006636 4.95643 [{(2*n+6)*a(n+3)+(-15-3*n)*a(n+2)+(4+n)*a(n+1),a(0)=8,a(1)=36,a(2)=102} ogf] A006636 7.86897 [-(x-2)^3/(x-1)^6 ogf] A006637 4.47642 [{(2*n+6)*a(n+3)+(-18-3*n)*a(n+2)+(5+n)*a(n+1),a(0)=16,a(1)=96,a(2)=344} ogf] A006637 5.55076 [(x-2)^4/(x-1)^8 ogf] A006645 14.1564 [x^2/(x^2+2*x-1)^2 ogf] A006645 34.3465 [-4*(x+1)/(x^2-1+2*x) lgdogf] A006645 4.68692 [{(-1-n)*a(n+3)+(2*n+4)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A006645 8.08201 [f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-x^2+f(x) ogf] A006646 11.9520 [2*x^2/(2*x-1)/(4*x^2+4*x-1) ogf] A006646 13.2915 [-2*(-3+4*x+12*x^2)/(2*x-1)/(4*x^2+4*x-1) lgdogf] A006646 4.88946 [{-a(n+3)+6*a(n+2)-4*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A006646 6.64002 [8*f(x)*x^3+4*f(x)*x^2-6*f(x)*x-2*x^2+f(x) ogf] A006659 4.63656 [{(-4*n^2-30*n-56)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=2,a(1)=12} ogf] A006668 12.8207 [x^2/(2*x-1)/(4*x^2+4*x-1) ogf] A006668 14.2665 [-2*(-3+4*x+12*x^2)/(2*x-1)/(4*x^2+4*x-1) lgdogf] A006668 5.24482 [{-a(n+3)+6*a(n+2)-4*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A006668 7.1226 [8*f(x)*x^3+4*f(x)*x^2-6*f(x)*x-x^2+f(x) ogf] A006673 11.6975 [-a(n)*n+(2*n+2)*a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=1 revegf] A006678 13.3959 [-f(x)^2*x-f(x)^2+2*f(x)-2*x egf] A006678 4.52009 [{-2*a(n)*n+(-4*n-3)*a(n+1)-a(n+2)*n+(n+3)*a(n+3),a(0)=0,a(1)=1,a(2)=1/2} egf] A006678 45.4775 [-x*(x-2)/(2+x^2) revegf] A006679 15.7113 [-ln(2+x^2)+ln(1+x)+ln(2) revegf] A006684 17.3287 [x^2/(x^2+x-1)/(x^2+2*x-1) ogf] A006684 19.8169 [-(-3+4*x^3+9*x^2)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A006684 6.39174 [{-a(n+4)+3*a(n+3)-3*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A006684 9.62704 [f(x)*x^4+3*f(x)*x^3-3*f(x)*x-x^2+f(x) ogf] A006708 12.6557 [-(x^4+8*x^3+6*x^2+8*x+1)/(-x^6+1) ogf_with_Euler_transform] A006709 10.8875 [-(-2*x^4-4*x^3-12*x^2-4*x-2)/(x^6-1) ogf_with_Euler_transform] A006847 16.9316 [(2+2*x-2*x^3-x^2)*f(x)+(-2+2*x^2)*f(x)^2 lgdegf] A006847 3.38141 [{(-2*n-10)*a(n+5)+2*a(n+4)+(8+2*n)*a(n+3)-a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=5/6,a(4)=7/12} egf] A006848 10.1515 [(2+x+x^4+x^5-2*x^3-2*x^2)/(x-1)^2/(x+1)^2 lgdegf] A006857 15.6597 [-3*(5+20*x+2*x^3+15*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A006857 6.12216 [-(x+1)*(x^2+5*x+1)/(x-1)^9 ogf] A006857 6.22171 [{(-n^2-13*n-42)*a(n+1)+(n^2+5*n+6)*a(n+2),a(0)=1,a(1)=15} ogf] A006858 14.4514 [-2*(7+28*x+2*x^3+19*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A006858 3.93278 [{(-2*n^2-15*n-28)*a(n+1)+(4*n^2+24*n+62)*a(n+2)+(-2*n^2-9*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=14} ogf] A006858 6.45842 [-x*(x+1)*(x^2+6*x+1)/(x-1)^7 ogf] A006859 10.0832 [-5*(6+66*x+25*x^4+x^5+121*x^3+165*x^2)/(x-1)/(x+1)/(x^4+19*x^3+56*x^2+19*x+1) lgdogf] A006859 4.93582 [(x+1)*(x^4+19*x^3+56*x^2+19*x+1)/(x-1)^10 ogf] A006864 13.2564 [-2*(1+2*x+2*x^3-3*x^2)/(2*x^2-1+2*x+x^4-2*x^3) lgdogf] A006864 15.6982 [-x/(x^4-2*x^3+2*x^2+2*x-1) ogf] A006864 6.35713 [-(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A006865 15.1740 [-(3*x+1)/(2*x^3+11*x-1) ogf] A006865 16.7322 [-2*(7+6*x^3+3*x^2)/(3*x+1)/(2*x^3+11*x-1) lgdogf] A006865 7.12250 [{a(n+3)-11*a(n+2)-2*a(n),a(0)=1,a(1)=14,a(2)=154} ogf] A006865 7.84276 [(523*f(x)+65)*(2*f(x)*x^3+11*f(x)*x-f(x)+3*x+1) ogf] A006904 11.5870 [-(1+7*x+2*x^3+2*x^2)/(2*x-1)/(x+1)/(x^2+x+1) lgdogf] A006904 5.44954 [(283*f(x)+69)*(2*f(x)*x^3+3*f(x)*x^2+x^2-f(x)+x+1) ogf] A006904 5.56548 [{-a(n+3)+3*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A006904 9.17816 [-(x^2+x+1)/(2*x-1)/(x+1)^2 ogf] A006914 99.9999 Evaluated at exp(-Pi) 15/16*Pi^3/GAMMA(3/4)^12 A006918 13.1810 [x/(x+1)^2/(x-1)^4 ogf] A006918 40.7964 [-2*(1+3*x)/(x-1)/(x+1) lgdogf] A006918 43.1060 [[2+2*x] ogf_with_Euler_transform] A006918 6.83825 [{(-2-n)*a(n+3)+2*a(n+2)+(6+n)*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A006922 28.8893 [24/(-x+1) ogf_with_Euler_transform] A006922 99.9999 Evaluated at exp(-Pi) 512*exp(-Pi)/Pi^6*GAMMA(3/4)^24 A006950 15.3528 [-(-x^3-x^2-1)/(-x^4+1) ogf_with_Euler_transform] A006950 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)/Pi^(1/4)*2^(3/4)*GAMMA(3/4) A006963 6.56610 [{(4*n^2+2*n)*a(n)+(-n-1)*a(n+1),a(0)=1,a(1)=1} ogf] A006974 29.4646 [-(-9+8*x)/(2*x-1)/(x-1) lgdogf] A006974 4.51449 [{(n+3)*a(n+3)+(-15-3*n)*a(n+2)+(10+2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=50} ogf] A006974 9.33401 [(x-1)/(2*x-1)^5 ogf] A006975 24.7888 [-(-11+10*x)/(2*x-1)/(x-1) lgdogf] A006975 4.10670 [{(n+3)*a(n+3)+(-17-3*n)*a(n+2)+(12+2*n)*a(n+1),a(0)=1,a(1)=11,a(2)=72} ogf] A006975 7.35386 [-(x-1)/(2*x-1)^6 ogf] A006976 24.0806 [-(-13+12*x)/(2*x-1)/(x-1) lgdogf] A006976 3.99062 [{(n+3)*a(n+3)+(-19-3*n)*a(n+2)+(14+2*n)*a(n+1),a(0)=1,a(1)=13,a(2)=98} ogf] A006976 6.33563 [(x-1)/(2*x-1)^7 ogf] A006977 8.52520 [-(4*x^5-2*x^4-3*x^3-x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A006979 8.02950 [-(-2-2*x+15*x^4+21*x^6+24*x^5+4*x^3+16*x^7+9*x^8)/(x^4+x^3+x^2+x-1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A006979 8.77864 [x^5/(x^4+x^3+x^2+x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A006980 5.77903 [-(-2-2*x+10*x^4+35*x^6+24*x^5+4*x^3+11*x^10+32*x^7+20*x^9+27*x^8)/(x^5+x^4+x^3+x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A006980 6.73369 [1/(x^5+x^4+x^3+x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A007004 13.7800 [hypergeom([1/3,2/3],[2],27*x) ogf] A007004 5.60162 [{(-27*n^2-81*n-60)*a(n+1)+(n^2+5*n+6)*a(n+2),a(0)=1,a(1)=3} ogf] A007007 4.7549 [-2*f(x)^2*x^4+f(x)^2*x^3-4*f(x)*x^4+2*f(x)*x^3-2*x^4-2*f(x)*x^2+x^3-f(x)*x-2*x^2+f(x)-x ogf] A007009 16.9860 [-(4+12*x+5*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A007009 32.0852 [-x^2+2*x+4 ogf_with_Euler_transform] A007009 8.68104 [-(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A007010 4.71412 [-(x^6+6*x^5+21*x^4+28*x^3+21*x^2+6*x+1)/(x+1)^3/(x-1)^9 ogf] A007019 7.59418 [{(2*n^2+9*n+10)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A007039 10.4201 [-(1-2*x-x^4+2*x^6-4*x^3+7*x^2)/(x+1)/(x^2-x+1)/(x^2+x-1)/(2*x^2-2*x+1) lgdogf] A007039 13.5131 [-2*(x+1)*(2*x^2-2*x+1)/(x^2-x+1)/(x^2+x-1) ogf] A007039 6.9856 [-(15*f(x)+112)*(f(x)*x^4-f(x)*x^2+4*x^3+2*f(x)*x-f(x)-2*x+2) ogf] A007040 10.1897 [2*(x^4-2*x^2-x-1)/(x^2+x+1)/(x^2+x-1) ogf] A007040 5.90356 [-(75*f(x)-164)*(f(x)*x^4+2*f(x)*x^3-2*x^4+f(x)*x^2+4*x^2-f(x)+2*x+2) ogf] A007040 9.99186 [(1+6*x+7*x^4+2*x^6+6*x^5+4*x^3+7*x^2)/(x^2+x+1)/(x^4-2*x^2-x-1)/(x^2+x-1) lgdogf] A007051 17.4351 [-(2*x-1)/(x-1)/(3*x-1) ogf] A007051 20.2924 [-2*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(2*x-1) lgdogf] A007051 8.8155 [-(f(x)+1)*(3*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A007051 9.56806 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=1,a(1)=2} ogf] A007052 13.1359 [-(x-1)/(2*x^2-4*x+1) ogf] A007052 14.1074 [-1/2*(-1-4*x+(1+4*x+8*x^2)^(1/2))/(2*x+1) revogf] A007052 17.0119 [-(3-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A007052 7.20874 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=3} ogf] A007052 7.67686 [f(x)*(2*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A007054 11.996 [f(x)^2*x^2-6*f(x)*x+f(x)+16*x-3 ogf] A007054 13.6041 [3/32+3/16*x-1/32*x^2-1/32*((x-9)*(x-1)^3)^(1/2) revogf] A007054 7.38215 [{(-4*n-6)*a(n+1)+(n+4)*a(n+2),a(0)=3,a(1)=2} ogf] A007068 12.2071 [-(x+1)*(2*x^2-2*x-1)/(2*x^4-4*x^2+1) ogf] A007068 7.02833 [-(34*f(x)+45)*(2*f(x)*x^4-4*f(x)*x^2+2*x^3+f(x)-3*x-1) ogf] A007068 9.88144 [-(3+8*x-10*x^4+4*x^6-8*x^3+6*x^2)/(x+1)/(2*x^2-2*x-1)/(2*x^4-4*x^2+1) lgdogf] A007070 15.3191 [-1/4*(-1-4*x+(1+8*x+8*x^2)^(1/2))/x revogf] A007070 16.6276 [1/(2*x^2-4*x+1) ogf] A007070 24.3713 [-4*(x-1)/(2*x^2+1-4*x) lgdogf] A007070 6.61098 [(41*f(x)+23)*(2*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A007070 6.69160 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=4} ogf] A007086 5.56525 [-(22*x^17-21*x^16+x^15-2*x^12-7*x^11-15*x^8+2*x^7+2*x^6-2*x^4-2*x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A007090 4.52224 [x*(67*x^15+x^14+x^13+x^12+7*x^11+x^10+x^9+x^8+7*x^7+x^6+x^5+x^4+7*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A007095 7.29161 [x*(2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A007096 15.3280 [-(-4*x^2+2*x-4)/(-x^4+1) ogf_with_Euler_transform] A007096 99.9999 Evaluated at exp(-Pi) 2^(1/4) A007102 6.03684 [(f(x)-1)^2*(35*x^4+420*f(x)*x-f(x)-420*x+1) ogf] A007109 6.10231 [(f(x)-1)^2*(96*x^5+95*f(x)*x-4*f(x)-95*x+4) ogf] A007113 24.8428 [(ln(x+1)*x+ln(x+1)+x)/(x+1) lgdegf] A007114 8.29983 [n^2*a(n)+(-3*n^2-6*n-3)*a(n+1)+(6*n+4+2*n^2)*a(n+2),a(0)=0,a(1)=-2 lgdegf] A007120 8.60020 [-n^2*a(n)+(9*n+5+4*n^2)*a(n+1)+(-9*n-6-3*n^2)*a(n+2),a(0)=-1,a(1)=-3 lgdegf] A007123 198.744 [x+1 lgdegf] A007151 15.1892 [(exp(-x)+2*exp(-x)*x-1)*exp(x)/(1+x) revegf] A007165 21.9455 [-x*(-1-2*x+x^2)/(1+x)/(2*x+1) revogf] A007165 6.84093 [f(x)^3*x^2+2*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A007179 10.2036 [-x*(x-1)/(2*x-1)/(2*x^2-1) ogf] A007179 12.6978 [-(1+4*x+8*x^3-14*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A007179 5.23968 [-(f(x)+1)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A007179 5.23968 [{-a(n+3)+2*a(n+2)+2*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A007191 18.9775 [24/(x^2-1) ogf_with_Euler_transform] A007191 99.9999 Evaluated at exp(-Pi) 8*exp(-Pi) A007202 7.42833 [(x^4+10*x^3+20*x^2+10*x+1)/(x+1)/(x-1)^4 ogf] A007202 9.31715 [-(13+75*x+23*x^4+x^5+94*x^3+130*x^2)/(x-1)/(x+1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A007204 12.4262 [-(25+188*x+x^4+44*x^3+222*x^2)/(x-1)/(x^4+20*x^3+54*x^2+20*x+1) lgdogf] A007204 8.13221 [-(x^4+20*x^3+54*x^2+20*x+1)/(x-1)^5 ogf] A007226 30.2147 [(-1+(1-x)^(1/2))*(x-1) revogf] A007226 5.41813 [{(27*n^2+81*n+60)*a(n+1)+(-4*n^2-18*n-18)*a(n+2),a(0)=2,a(1)=3} ogf] A007226 8.36132 [-f(x)^3*x^2+2*f(x)^2*x-2*f(x)*x-f(x)-x+2 ogf] A007228 33.7071 [(x-1)*((1-x)^(1/3)-1) revogf] A007228 4.70727 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-27*n^3-162*n^2-303*n-180)*a(n+2),a(0)=3,a(1)=6} ogf] A007246 99.9999 Evaluated at exp(-Pi) 32*exp(-Pi) A007247 99.9999 Evaluated at exp(-Pi) 18*exp(-1/2*Pi)*2^(1/2) A007248 99.9999 Evaluated at exp(-Pi) 6*exp(-1/2*Pi)*2^(1/2) A007249 18.7768 [12/(x^2-1) ogf_with_Euler_transform] A007249 99.9999 Evaluated at exp(-Pi) 2*exp(-1/2*Pi)*2^(1/2) A007259 25.8018 [8/(x^2-1) ogf_with_Euler_transform] A007259 99.9999 Evaluated at exp(-Pi) 2*exp(-1/3*Pi) A007262 32.0917 [-(-6*x-6)/(x^3-1) ogf_with_Euler_transform] A007267 99.9999 Evaluated at exp(-Pi) 648*exp(-Pi) A007272 7.74178 [{(-4*n-6)*a(n+1)+(n+5)*a(n+2),a(0)=10,a(1)=5} ogf] A007272 8.5567 [-f(x)^2*x^3+30*f(x)*x^2-10*f(x)*x-256*x^2+f(x)+95*x-10 ogf] A007275 8.43668 [(6*f(x)*x-f(x)+1)^3 ogf] A007283 15.2636 [{a(n+1)-2*a(n),a(0)=3} ogf] A007283 19.3587 [-2*f(x)*x+f(x)-3 ogf] A007283 31.7483 [-3/(2*x-1) ogf] A007283 32.4884 [-1/2*ln(3)+1/2*ln(2*x+3) revegf] A007283 77.9722 [-2/(2*x-1) lgdogf] A007290 13.9093 [2*x^3/(x-1)^4 ogf] A007290 5.89756 [{(-1+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A007290 9.69056 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+2*x^3+4*f(x)*x-f(x) ogf] A007290 91.6792 [-4/(x-1) lgdogf] A007291 15.1960 [-(63+130*x+27*x^2)/(x-1)/(9*x^2+28*x+7) lgdogf] A007291 7.57642 [-(9*x^2+28*x+7)/(x-1)^5 ogf] A007297 11.1263 [-2+3*f(x)-f(x)^2-f(x)^3*x ogf] A007297 36.5105 [-x*(x-1)/(1+x)^3 revogf] A007297 8.00229 [(-108*n^2-648*n-924)*a(n+1)+(n^2+7*n+12)*a(n+3),a(0)=4,a(1)=30,a(2)=256 lgdogf] A007307 15.2657 [-x*(2*x+1)/(x^3+x^2-1) ogf] A007307 16.0791 [-(2+2*x+4*x^3+5*x^2)/(2*x+1)/(x^3+x^2-1) lgdogf] A007307 8.6998 [-(5*f(x)+6)*(f(x)*x^3+f(x)*x^2+2*x^2-f(x)+x) ogf] A007307 8.69980 [{-a(n+3)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A007309 11.8414 [-x*(4*x+1)/(x^3+x^2-1) ogf] A007309 15.4113 [-(4+2*x+8*x^3+7*x^2)/(4*x+1)/(x^3+x^2-1) lgdogf] A007309 6.74831 [{-a(n+3)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A007309 6.74832 [(172*f(x)+465)*(f(x)*x^3+f(x)*x^2+4*x^2-f(x)+x) ogf] A007310 10.7100 [(x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A007310 15.1824 [-(5+9*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A007310 5.83310 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=7} ogf] A007310 7.39054 [(8*f(x)+19)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-4*x-1) ogf] A007312 6.79876 [-x*(-1-x-x^2+3*x^4+2*x^5-3*x^8+3*x^6-3*x^7-3*x^9+2*x^11+x^12)/(x-1)/(x^4+x^3-1)/(x^8+3*x^7-x^5-2*x^4-x^3+1) revogf] A007317 4.86572 [{(-5*n-10)*a(n+1)+(6*n+16)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A007317 42.7386 [x*(x-1)/(x^2-x-1) revogf] A007317 7.72932 [-1/2*(x-1+2*x*(x-1)^(1/2)*(5*x-1)^(1/2)-(x-1)^(1/2)*(5*x-1)^(1/2))/x/(x-1)^(3/2)/(5*x-1)^(1/2) lgdogf] A007317 9.60504 [f(x)^2*x^2-f(x)^2*x-f(x)*x+f(x)-1 ogf] A007325 10.5323 [-(x^2-1)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A007331 30.6915 [-8/(-x-1) ogf_with_Euler_transform] A007331 99.9999 Evaluated at exp(-Pi) 1/32*Pi^2/GAMMA(3/4)^8 A007332 14.5488 [-(-12*x^2-6*x-6)/(x^3-1) ogf_with_Euler_transform] A007344 5.65890 [(2*x^4+3*x^3+3*x^2+x+2)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A007375 2.19719 [-(f(x)*x-f(x)+1)^3 ogf] A007380 10.3880 [-(x^6+x^5+x^3+2*x+1)/(x^7+x^2-1) ogf] A007380 5.07221 [-(2+2*x+4*x^4+4*x^6+6*x^5+5*x^2+2*x^11+x^12+8*x^7+4*x^9)/(x^6+x^5+x^3+2*x+1)/(x^7+x^2-1) lgdogf] A007381 9.54157 [-(x^8+x^7+x^5+x^3+2*x+1)/(x^9+x^2-1) ogf] A007382 4.56752 [x^2*(x^3+2*x^2-x-3)/(x^2+x-1)/(x-1)^2/(x+1)^2 ogf] A007382 5.82802 [-(4+14*x+x^4+3*x^6+10*x^5-24*x^3-12*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^3+2*x^2-x-3) lgdogf] A007383 10.7028 [-x^2/(x^3+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007383 10.8328 [-x*(-6+7*x^3+6*x^2-3*x)/(x-1)/(x+1)/(x^3+x^2-1) lgdogf] A007384 10.5344 [-x*(-6-5*x^3+9*x^5+6*x^2)/(x-1)/(x+1)/(x^5+x^2-1) lgdogf] A007384 10.7155 [-x^4/(x^5+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007385 10.2660 [-x^6/(x^7+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007385 10.5957 [-x*(-6+6*x^2-7*x^5+11*x^7)/(x-1)/(x+1)/(x^7+x^2-1) lgdogf] A007386 10.3373 [-x*(-6+6*x^2-9*x^7+13*x^9)/(x-1)/(x+1)/(x^9+x^2-1) lgdogf] A007386 9.49983 [-x^8/(x^9+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007387 11.4085 [(3+4*x+8*x^4-6*x^5+3*x^10+9*x^2+16*x^7)/(x^5+x^2-1)/(3*x^6-2*x^3-3*x-2) lgdogf] A007387 11.9110 [x*(3*x^6-2*x^3-3*x-2)/(x^5+x^2-1) ogf] A007388 8.81773 [x*(5*x^10+3*x^8-2*x^5-2*x^3-3*x-2)/(x^7+x^2-1) ogf] A007389 8.38552 [x*(7*x^14+5*x^12+3*x^10-2*x^7-2*x^5-2*x^3-3*x-2)/(x^9+x^2-1) ogf] A007390 7.22184 [x^3*(x^3+2*x^2-x-4)/(x^2+x-1)/(x-1)^2/(x+1)^2 ogf] A007391 7.32650 [-x*(16-22*x^3+5*x^5+4*x^4-20*x^2+9*x)/(x-1)/(x+1)/(x^3+x^2-1)/(x^2-3) lgdogf] A007391 8.51765 [x^5*(x^2-3)/(x^3+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007392 6.98354 [-x*(24+25*x^3-54*x^5+12*x^4-36*x^2+21*x^7)/(x-1)/(x+1)/(3*x^2-5)/(x^5+x^2-1) lgdogf] A007392 8.21316 [x^9*(3*x^2-5)/(x^5+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007393 6.92120 [-x*(32+49*x^5+20*x^4-52*x^2+45*x^9-102*x^7)/(x-1)/(x+1)/(5*x^2-7)/(x^7+x^2-1) lgdogf] A007393 7.58774 [x^13*(5*x^2-7)/(x^7+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007394 6.94831 [-x*(40-68*x^2+28*x^4+81*x^7-166*x^9+77*x^11)/(x-1)/(x+1)/(7*x^2-9)/(x^9+x^2-1) lgdogf] A007394 7.55329 [x^17*(7*x^2-9)/(x^9+x^2-1)/(x-1)^2/(x+1)^2 ogf] A007395 117.359 [-1/(x-1) lgdogf] A007395 134.124 [x/(2+x) revogf] A007395 18.4109 [{a(n+1)-a(n),a(0)=2} ogf] A007395 23.3505 [-f(x)*x+f(x)-2 ogf] A007395 38.2948 [-2/(x-1) ogf] A007403 2.88496 [-4096*f(x)^2*x^4+2048*f(x)^2*x^3-384*f(x)^2*x^2-512*f(x)*x^3+32*f(x)^2*x+256*f(x)*x^2-72*x^3-f(x)^2-40*f(x)*x-7*x^2+2*f(x)+8*x-1 ogf] A007405 20.9033 [2*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=2 lgdegf] A007412 7.87568 [(3-x-11*x^6+6*x^5-47*x^24+5*x^7+23*x^25+24*x^23)/(x-1)/(x^25-x^24+x^7-x^6+x-2) lgdogf] A007412 7.97796 [-(x^25-x^24+x^7-x^6+x-2)/(x-1)^2 ogf] A007415 10.1168 [-(4-8*x-3*x^4+2*x^5+8*x^3)/(x^2+2*x+2)/(x^2-2*x+2)/(x^2-x+2) lgdegf] A007415 11.6606 [-f(x)*x^4+2*x^3-2*x^2-4*f(x)+4*x egf] A007415 12.5406 [2*x*(x^2-x+2)/(x^2-2*x+2)/(x^2+2*x+2) egf] A007417 10.8852 [-x^20+x^19+x^6-x^5-x^2+x+2 ogf_with_Euler_transform] A007420 16.8216 [-x^2/(4*x^3-4*x^2+2*x-1) ogf] A007420 17.9689 [-2*(1-4*x+6*x^2)/(-4*x^2-1+2*x+4*x^3) lgdogf] A007420 6.26987 [{a(n+3)-2*a(n+2)+4*a(n+1)-4*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A007420 8.51463 [4*f(x)*x^3-4*f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A007440 13.2408 [-f(x)^2*x^2-f(x)*x-f(x)+1 ogf] A007440 18.1513 [-((1+2*x+5*x^2)^(1/2)-1)/(1+2*x+5*x^2)^(1/2)/x lgdogf] A007440 5.20805 [{(5*n+10)*a(n+1)+(2*n+7)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=-1,a(2)=0} ogf] A007440 64.2277 [-x/(-1+x+x^2) revogf] A007450 7.87290 [-x*(7*x^7-3*x^6+2*x^5+x^4-6*x^3+3*x+5)/(x-1)/(x^8+1) ogf] A007452 11.0259 [2*(x^3-2*x+2)/(x^2-2*x+2)/(x^2+2*x+2) egf] A007452 5.93701 [{-4*a(n+4)-a(n),a(0)=1,a(1)=-1,a(2)=0,a(3)=1/2} egf] A007452 6.83885 [-(5*f(x)+2)*(f(x)*x^4-2*x^3+4*f(x)+4*x-4) egf] A007452 9.13059 [-(8-6*x^4+x^6+8*x^3-12*x^2)/(x^2+2*x+2)/(x^2-2*x+2)/(x^3-2*x+2) lgdegf] A007455 10.7928 [-(x+1)*(4*x^5-4*x^4+4*x^3+4*x^2+5*x+1)/(1+2*x^3+x)/(2*x^4+3*x^2-1) lgdogf] A007455 12.7444 [-(2*x^3+x+1)/(2*x^4+3*x^2-1) ogf] A007455 6.85311 [{a(n+4)-3*a(n+2)-2*a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A007455 7.81108 [(f(x)-1)*(2*f(x)*x^4+3*f(x)*x^2+2*x^3-f(x)+x+1) ogf] A007465 4.41191 [{(2*n^2+18*n+28)*a(n+1)+(-3*n^2-25*n-44)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=6,a(2)=30} ogf] A007465 7.89731 [-(6*x^4-12*x^3+10*x^2-4*x+1)/(2*x-1)^5 ogf] A007465 8.93827 [-6*(1-2*x+2*x^4-4*x^3+4*x^2)/(2*x-1)/(6*x^4-12*x^3+10*x^2-4*x+1) lgdogf] A007466 10.2065 [-(2*x^2-2*x+1)/(2*x-1)^3 ogf] A007466 18.2241 [-4*(1-x+x^2)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A007466 5.55089 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A007466 5.60001 [(38*f(x)+7)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A007477 12.9148 [-1/2-1/2*x^2+1/2*((1+x)*(x^3-x^2+3*x+1))^(1/2) revogf] A007477 22.3884 [-x-1+f(x)-f(x)^2*x^2 ogf] A007477 6.18086 [{(-4*n-6)*a(n+1)+(-4*n-12)*a(n+2)+(n+6)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A007481 12.1072 [-(2+6*x+9*x^4+2*x^6+8*x^3+9*x^2)/(x^3+2*x+1)/(2*x^4+3*x^2-1) lgdogf] A007481 12.9919 [-(x^3+2*x+1)/(2*x^4+3*x^2-1) ogf] A007481 7.87804 [(26*f(x)+7)*(2*f(x)*x^4+3*f(x)*x^2+x^3-f(x)+2*x+1) ogf] A007482 16.9799 [1/4/x*(-3*x-1+(17*x^2+6*x+1)^(1/2)) revogf] A007482 18.3942 [-1/(2*x^2+3*x-1) ogf] A007482 27.0134 [-(3+4*x)/(2*x^2-1+3*x) lgdogf] A007482 7.05824 [-(13*f(x)-4)*(2*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A007482 7.40254 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=3} ogf] A007483 13.7009 [-(2*x+1)/(2*x^2+3*x-1) ogf] A007483 15.0957 [1/4*(-3*x-1+(17*x^2+14*x+1)^(1/2))/(1+x) revogf] A007483 16.7730 [-(5+4*x+4*x^2)/(2*x+1)/(2*x^2-1+3*x) lgdogf] A007483 7.1691 [(19*f(x)+6)*(2*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A007483 7.51880 [{a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=5} ogf] A007484 16.5801 [-(x+2)/(2*x^2+3*x-1) ogf] A007484 17.4541 [1/2/(2*x+1)*(-2-3*x+(4+16*x+17*x^2)^(1/2)) revogf] A007484 21.5610 [-(7+8*x+2*x^2)/(x+2)/(2*x^2-1+3*x) lgdogf] A007484 8.29005 [-(29*f(x)-9)*(2*f(x)*x^2+3*f(x)*x-f(x)+x+2) ogf] A007484 9.09884 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=2,a(1)=7} ogf] A007486 14.5568 [-(2*x+1)/(x^3+x^2+x-1) ogf] A007486 18.0307 [-(3+2*x+4*x^3+5*x^2)/(2*x+1)/(x^3+x^2+x-1) lgdogf] A007486 6.88849 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=4} ogf] A007486 7.01373 [-(25*f(x)+151)*(f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+2*x+1) ogf] A007487 3.30652 [-x*(x^8+502*x^7+14608*x^6+88234*x^5+156190*x^4+88234*x^3+14608*x^2+502*x+1)/(x-1)^11 ogf] A007489 4.90383 [{(-n-3)*a(n+1)+(n+4)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A007492 13.7954 [(x^2-2)/(x^2+x-1)/(x+1) ogf] A007492 18.4678 [-x*(-6+x^3-6*x)/(x+1)/(x^2-2)/(x^2+x-1) lgdogf] A007492 7.86188 [(128*f(x)-499)*(f(x)*x^3+2*f(x)*x^2-x^2-f(x)+2) ogf] A007492 7.86189 [{a(n+3)-2*a(n+1)-a(n),a(0)=2,a(1)=0,a(2)=3} ogf] A007494 16.2063 [x*(x+2)/(x+1)/(x-1)^2 ogf] A007494 28.4666 [-(x+3)*(2*x+1)/(x-1)/(x+2)/(x+1) lgdogf] A007494 8.32217 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=3} ogf] A007494 8.96854 [-f(x)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2*x) ogf] A007502 13.3356 [-(2+2*x+x^4-3*x^3+3*x^2)/(x^2+x-1)/(x^3-x^2+1) lgdogf] A007502 4.41760 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A007502 4.44892 [-(650*f(x)-567)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)-1) ogf] A007502 8.59314 [(x^3-x^2+1)/(x^2+x-1)^2 ogf] A007518 15.2483 [3*x/(x+1)/(x-1)^4 ogf] A007518 32.2393 [-(3+5*x)/(x-1)/(x+1) lgdogf] A007518 44.0580 [[3+x] ogf_with_Euler_transform] A007518 6.99357 [{(-2-n)*a(n+3)+3*a(n+2)+(5+n)*a(n+1),a(0)=0,a(1)=3,a(2)=9} ogf] A007526 4.63673 [{(-n^2-5*n-6)*a(n+1)+(n^2+6*n+9)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A007526 47.9317 [(x-2)/(x-1) lgdegf] A007531 15.1158 [6*x^3/(x-1)^4 ogf] A007531 6.40909 [{(-1+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A007531 8.09228 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+6*x^3+4*f(x)*x-f(x) ogf] A007531 99.6718 [-4/(x-1) lgdogf] A007533 10.3274 [-(13*x^2+35*x+2)/(x-1)^3 ogf] A007533 16.3181 [-(41+96*x+13*x^2)/(x-1)/(13*x^2+35*x+2) lgdogf] A007533 5.12306 [(7022500*f(x)-146242307)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+35*x+2) ogf] A007533 5.65764 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=41,a(2)=130} ogf] A007559 12.9378 [-1/3*(1-2*x)^(1/2)+2/3*(1-2*x)^(1/2)*x+1/3 revegf] A007559 16.177 [3*f(x)^3*x-f(x)^3+1 egf] A007559 54.3390 [-1/(3*x-1) lgdegf] A007559 6.30626 [{(-3*n-4)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A007564 11.4791 [-3*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A007564 12.3097 [-1/2*(2*x-1+(1-8*x+4*x^2)^(1/2))/x/(1-8*x+4*x^2)^(1/2) lgdogf] A007564 3.20979 [{(8*n^2+8*n)*a(n)+(-20*n^2-56*n-36)*a(n+1)+(10*n^2+52*n+66)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A007564 34.9855 [x*(-1+3*x)/(-1+2*x) revogf] A007566 20.1998 [(2*x+1)*(4*x^2-3)/(2*x-1)/(4*x^2+1) lgdegf] A007572 13.0873 [(13*x-5)/(x+1)/(4*x-1) ogf] A007572 13.0994 [1/2/(-13+4*x)*(-5-3*x+(25-22*x+25*x^2)^(1/2)) revogf] A007572 14.0351 [-2*(-1-20*x+26*x^2)/(4*x-1)/(13*x-5)/(x+1) lgdogf] A007572 6.61555 [(865*f(x)-4321)*(4*f(x)*x^2+3*f(x)*x-f(x)-13*x+5) ogf] A007572 7.34163 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=5,a(1)=2} ogf] A007574 7.67392 [-(2*x^5-x^4-x^3+x^2+x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A007574 8.95112 [-(3-4*x-10*x^4-2*x^6+9*x^5+7*x^3-3*x^2+2*x^7)/(x-1)/(x^2+x-1)/(2*x^5-x^4-x^3+x^2+x-1) lgdogf] A007581 5.34363 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A007581 8.00044 [-8*f(x)*x^3+14*f(x)*x^2-7*f(x)*x-5*x^2+f(x)+5*x-1 ogf] A007581 8.95632 [-(2-18*x+40*x^4-80*x^3+59*x^2)/(x-1)/(4*x-1)/(2*x-1)/(5*x^2-5*x+1) lgdogf] A007581 9.73919 [-(5*x^2-5*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A007582 14.0540 [-(3*x-1)/(4*x-1)/(2*x-1) ogf] A007582 15.4930 [-(3-16*x+24*x^2)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A007582 7.10599 [-(2*f(x)+7)*(8*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A007582 7.71259 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=1,a(1)=3} ogf] A007582 9.53415 [1/4*ln(8*x+3)+1/4*ln(2*(1+2*x)^(1/2)-1)-1/4*ln(2*(1+2*x)^(1/2)+1) revegf] A007583 14.3365 [-(2*x-1)/(4*x-1)/(x-1) ogf] A007583 15.4252 [-1/4*(-1-5*x+(1+2*x+9*x^2)^(1/2))/(2*x+1) revogf] A007583 17.5676 [-(3-8*x+8*x^2)/(x-1)/(4*x-1)/(2*x-1) lgdogf] A007583 7.86761 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=1,a(1)=3} ogf] A007583 9.94354 [f(x)*(4*f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A007584 12.4206 [x*(6*x+1)/(x-1)^4 ogf] A007584 33.1718 [-2*(5+9*x)/(6*x+1)/(x-1) lgdogf] A007584 5.34660 [{(-2-n)*a(n+3)+(5-5*n)*a(n+2)+(18+6*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10} ogf] A007584 5.76669 [-(679826*f(x)+1881567)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-x) ogf] A007585 10.0339 [x*(7*x+1)/(x-1)^4 ogf] A007585 26.7271 [-(11+21*x)/(7*x+1)/(x-1) lgdogf] A007585 4.31921 [{(-2-n)*a(n+3)+(5-6*n)*a(n+2)+(21+7*n)*a(n+1),a(0)=0,a(1)=1,a(2)=11} ogf] A007585 4.59296 [-(5949440*f(x)+18831569)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-x) ogf] A007586 12.7081 [x*(8*x+1)/(x-1)^4 ogf] A007586 32.5925 [-12*(2*x+1)/(8*x+1)/(x-1) lgdogf] A007586 5.47036 [{(-2-n)*a(n+3)+(5-7*n)*a(n+2)+(24+8*n)*a(n+1),a(0)=0,a(1)=1,a(2)=12} ogf] A007586 5.81708 [-(2972862*f(x)+10593529)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-x) ogf] A007587 12.7656 [x*(9*x+1)/(x-1)^4 ogf] A007587 34.1062 [-(13+27*x)/(9*x+1)/(x-1) lgdogf] A007587 5.49512 [{(-2-n)*a(n+3)+(5-8*n)*a(n+2)+(27+9*n)*a(n+1),a(0)=0,a(1)=1,a(2)=13} ogf] A007587 5.80254 [-(22124000*f(x)+87654321)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-x) ogf] A007588 11.0403 [x*(x^2+10*x+1)/(x-1)^4 ogf] A007588 23.7013 [-2*(7+16*x+x^2)/(x-1)/(x^2+10*x+1) lgdogf] A007588 4.12619 [{(n+3)*a(n+4)+(4+9*n)*a(n+3)+(-41-9*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=14,a(3)=51} ogf] A007588 5.71319 [-(552*f(x)+2207)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-10*x^2+f(x)-x) ogf] A007589 7.55561 [-x*(x+1)*(24*x^3-23*x^2+16*x+1)/(x-1)^3 ogf] A007589 9.94138 [4*(-5-5*x+6*x^4-24*x^3+x^2)/(x-1)/(x+1)/(24*x^3-23*x^2+16*x+1) lgdogf] A007590 10.1448 [-f(x)*x^4+2*f(x)*x^3-2*f(x)*x-2*x^2+f(x) ogf] A007590 18.2607 [-2*x^2/(x+1)/(x-1)^3 ogf] A007590 36.9887 [-2*(2*x+1)/(x-1)/(x+1) lgdogf] A007590 38.9467 [[2+x] ogf_with_Euler_transform] A007590 6.73549 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=4} ogf] A007598 10.7566 [-x*(x-1)/(x+1)/(x^2-3*x+1) ogf] A007598 13.7075 [-(1+4*x+2*x^3-5*x^2)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A007598 5.52365 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A007598 7.15681 [(f(x)+1)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A007601 7.95249 [(-2-2*x+5*x^4-12*x^6+2*x^5+10*x^3-2*x^2-6*x^7+3*x^8)/(x-1)/(3*x^3-1)/(x^5+2*x^4+2*x^3-x^2-x-1) lgdogf] A007601 8.97041 [-(x^5+2*x^4+2*x^3-x^2-x-1)/(x-1)/(3*x^3-1) ogf] A007612 5.44885 [-f(x)^2*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3-4*x^4+f(x)*x^2-3*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A007612 9.41284 [-(2+2*x-9*x^4+10*x^6+3*x^5+18*x^3+6*x^2+4*x^7)/(x-1)/(x+1)/(4*x^4+3*x^3+x^2+1)/(x^2-x+1) lgdogf] A007612 9.48957 [(4*x^4+3*x^3+x^2+1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A007613 13.6948 [1/2/(-5+8*x)*(-1-7*x+(1-6*x+81*x^2)^(1/2)) revogf] A007613 14.0288 [-2*(10*x+1)*(2*x-1)/(8*x-1)/(5*x-1)/(x+1) lgdogf] A007613 16.1421 [(5*x-1)/(8*x-1)/(x+1) ogf] A007613 8.16174 [(129*f(x)-125)*(8*f(x)*x^2+7*f(x)*x-f(x)-5*x+1) ogf] A007613 8.85846 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=1,a(1)=2} ogf] A007654 10.4706 [-2*(8-15*x+x^3-6*x^2)/(x-1)/(x+1)/(x^2-14*x+1) lgdogf] A007654 12.0337 [-3*(x+1)*x/(x-1)/(x^2-14*x+1) ogf] A007654 6.22796 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=48} ogf] A007654 6.45444 [(16*f(x)+3)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+3*x^2-f(x)+3*x) ogf] A007655 10.1010 [-1/2*(-14*x-1+(16*x+1)^(1/2)*(1+12*x)^(1/2))/x revogf] A007655 12.8377 [-f(x)*x^2+14*f(x)*x-f(x)+x ogf] A007655 20.2652 [x/(x^2-14*x+1) ogf] A007655 21.1203 [-2*(-7+x)/(x^2-14*x+1) lgdogf] A007655 8.40266 [{a(n+2)-14*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A007661 5.70916 [{(-n-4)*a(n+1)+a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=3} ogf] A007667 3.1608 [(2281675*f(x)-53446)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+5*x^2-f(x)-130*x+5) ogf] A007667 3.29251 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=5,a(1)=365,a(2)=35645} ogf] A007667 6.07848 [-5*(x^2-26*x+1)/(x-1)/(x^2-98*x+1) ogf] A007669 3.91163 [(2*f(x)*x-f(x)+1)^3 ogf] A007679 10.0363 [-(3*x^2-x+1)/(2*x-1)/(x^2+1) ogf] A007679 11.0854 [-(3*x+1)*(2*x^3-2*x^2+x+1)/(2*x-1)/(x^2+1)/(3*x^2-x+1) lgdogf] A007679 5.32361 [(225*f(x)-239)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x+3*x^2-f(x)-x+1) ogf] A007679 5.46621 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A007680 10.39 [-f(x)*x^2+2*f(x)*x-f(x)+x+1 egf] A007680 14.5460 [(x+1)/(x-1)^2 egf] A007680 3.87321 [{(-n^2-4*n-4)*a(n+1)+(-2*n^2-13*n-24)*a(n+2)+(2*n+6)*a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A007680 35.6885 [-(x+3)/(x-1)/(x+1) lgdegf] A007681 16.2234 [-(9+14*x+x^2)/(x-1)/(x^2+6*x+1) lgdegf] A007681 4.51304 [(39*f(x)-154)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+6*x+1) egf] A007681 8.43420 [-(x^2+6*x+1)/(x-1)^3 egf] A007689 14.3356 [-(5*x-2)/(3*x-1)/(2*x-1) ogf] A007689 15.8018 [-(5-24*x+30*x^2)/(3*x-1)/(2*x-1)/(5*x-2) lgdogf] A007689 7.16781 [-(f(x)+23)*(6*f(x)*x^2-5*f(x)*x+f(x)+5*x-2) ogf] A007689 7.86712 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=2,a(1)=5} ogf] A007690 13.4056 [-(x^5+x^3+x^2+x)/(x^6-1) ogf_with_Euler_transform] A007696 16.0542 [-1/4*(1-3*x)^(1/3)+3/4*(1-3*x)^(1/3)*x+1/4 revegf] A007696 44.9518 [-1+(1-4*x)*f(x) lgdegf] A007696 7.79608 [{(-4*n-5)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A007698 3.46555 [(75*f(x)+58)*(11*f(x)*x^4-18*f(x)*x^3+3*f(x)*x^2+5*x^3-22*f(x)*x-8*x^2+f(x)+x-10) ogf] A007698 6.11819 [-(x-2)*(5*x^2+2*x+5)/(11*x^4-18*x^3+3*x^2-22*x+1) ogf] A007699 4.55692 [(75*f(x)+58)*(11*f(x)*x^4-18*f(x)*x^3+3*f(x)*x^2+5*x^3-22*f(x)*x-8*x^2+f(x)+x-10) ogf] A007699 8.04491 [-(x-2)*(5*x^2+2*x+5)/(11*x^4-18*x^3+3*x^2-22*x+1) ogf] A007715 10.3414 [-(2*x^2+2*x+1)/(x-1)^5 ogf] A007715 21.1497 [-(7+12*x+6*x^2)/(x-1)/(2*x^2+2*x+1) lgdogf] A007715 4.46434 [{(-n-4)*a(n+4)+(4-n)*a(n+3)+12*a(n+2)+(8+2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=27,a(3)=75} ogf] A007724 4.58240 [{(-54*n^3-513*n^2-1605*n-1650)*a(n+1)+(2*n^3+27*n^2+121*n+180)*a(n+2),a(0)=2,a(1)=12} ogf] A007742 14.0384 [-x*(3*x+5)/(x-1)^3 ogf] A007742 35.8500 [-6*(x+3)/(3*x+5)/(x-1) lgdogf] A007742 7.01918 [(3904*f(x)-11739)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+5*x) ogf] A007742 7.14452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=18} ogf] A007744 18.7572 [-20*(1+3*x)/(6*x+1)/(4*x-1) lgdogf] A007744 3.32193 [{(-n-3)*a(n+3)+(16-2*n)*a(n+2)+(84+24*n)*a(n+1),a(0)=1,a(1)=20,a(2)=210} ogf] A007750 7.50480 [-x*(x^2+6*x+1)/(x-1)/(x^4-16*x^2+1) ogf] A007750 7.96576 [-(7+34*x-29*x^4+3*x^6+22*x^5-196*x^3+47*x^2)/(x-1)/(x^2+6*x+1)/(x^4-16*x^2+1) lgdogf] A007751 10.8016 [-2*(60-119*x+x^3+2*x^2)/(x-1)/(x+7)/(x^2-16*x+1) lgdogf] A007751 4.31949 [(13840914*f(x)-1561967)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+x^2-f(x)+7*x) ogf] A007751 4.58241 [{a(n+3)-17*a(n+2)+17*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=120} ogf] A007751 8.93181 [-x*(x+7)/(x-1)/(x^2-16*x+1) ogf] A007752 4.11189 [(20857182*f(x)-1160551)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x-f(x)+7*x+1) ogf] A007752 4.14703 [{a(n+3)-17*a(n+2)+17*a(n+1)-a(n),a(0)=1,a(1)=24,a(2)=391} ogf] A007752 8.82187 [-(7*x+1)/(x-1)/(x^2-16*x+1) ogf] A007752 9.11756 [-2*(12-17*x+7*x^3-58*x^2)/(x-1)/(7*x+1)/(x^2-16*x+1) lgdogf] A007758 13.1209 [-2*x*(2*x+1)/(2*x-1)^3 ogf] A007758 31.2878 [-8*(x+1)/(2*x-1)/(2*x+1) lgdogf] A007758 6.73460 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=2,a(2)=16} ogf] A007758 7.04638 [(4*f(x)+1)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)+2*x) ogf] A007773 5.90129 [(1-x+23*x^4-70*x^6+9*x^5+12*x^3-44*x^10+4*x^2+20*x^11-14*x^7-22*x^9+98*x^8)/(x-1)/(x+1)/(4*x^10-8*x^9-2*x^8+10*x^7-3*x^5-4*x^3+2*x-1) lgdogf] A007773 6.72425 [-(4*x^10-8*x^9-2*x^8+10*x^7-3*x^5-4*x^3+2*x-1)/(x+1)/(x-1)^4 ogf] A007775 7.34904 [(x^8+6*x^7+4*x^6+2*x^5+4*x^4+2*x^3+4*x^2+6*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A007780 5.48353 [(18*x^15+243*x^14+75*x^13+9*x^11+27*x^10+30*x^9+27*x^8+13*x^7+9*x^6+7*x^5-2*x-1)/(3*x^2-1) ogf] A007798 16.0259 [-2*x^2/(x-1)/(3*x-1)/(5*x-1) ogf] A007798 19.2356 [-(9-46*x+45*x^2)/(x-1)/(3*x-1)/(5*x-1) lgdogf] A007798 6.72516 [{a(n+3)-9*a(n+2)+23*a(n+1)-15*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A007798 9.0749 [15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x+2*x^2-f(x) ogf] A007800 10.6813 [-(x^4-x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A007800 13.1437 [-(-2+2*x+x^4+x^6+x^5+x^7)/(x-1)/(x^4-x+1)/(x^3+x^2+x-1) lgdogf] A007800 5.30223 [f(x)*(f(x)-1)*(f(x)*x^5-f(x)*x^4+x^4-2*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A007805 10.7287 [-(x-1)/(x^2-18*x+1) ogf] A007805 11.2193 [-1/2*(-1-18*x+(1+32*x+320*x^2)^(1/2))/(1+x) revogf] A007805 15.0760 [-(17-2*x+x^2)/(x-1)/(x^2-18*x+1) lgdogf] A007805 5.30668 [-(304*f(x)-15)*(f(x)*x^2-18*f(x)*x+f(x)+x-1) ogf] A007805 5.87525 [{a(n+2)-18*a(n+1)+a(n),a(0)=1,a(1)=17} ogf] A007813 6.38434 [(x^15+4*x^14+5*x^13+8*x^12+6*x^11+6*x^10+9*x^9+10*x^8-16*x^7-27*x^6-16*x^5-8*x^4-4*x^3-2*x^2-x-1)/(x-1) ogf] A007829 4.66267 [-2*x^5*(3*x^2+2*x-3)/(x-1)/(2*x^2-1)/(x^2+x-1)/(x^3+x^2-1) ogf] A007830 15.6124 [1/2*2^(1/2)*(ln(2)+ln(x+1/2))/(2+4*x)^(1/2) revegf] A007852 23.1174 [1/2*(1-3*x+(1-2*x+5*x^2)^(1/2))*x revogf] A007854 11.2308 [-9*f(x)^2*x+2*f(x)^2-f(x)-1 ogf] A007854 14.4083 [3/2*(3-12*x+(1-4*x)^(1/2))/(9*x-2)/(4*x-1) lgdogf] A007854 16.8097 [1/2*(-1-9*x+3*(1+2*x+9*x^2)^(1/2))*x revogf] A007854 3.98511 [{(-36*n-54)*a(n+1)+(17*n+39)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A007863 38.4711 [-x*(-1+x+x^2)/(1+x) revogf] A007863 9.65798 [-f(x)^3*x^2-f(x)^2*x-f(x)*x+f(x)-1 ogf] A007868 3.26260 [{(n^3+7*n^2+16*n+12)*a(n+1)+(n+3)*a(n+2)+(-n^2-6*n-7)*a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A007873 3.67950 [(6*x^14+8*x^12-6*x^10+4*x^9+2*x^8+5*x^7-3*x^6+5*x^5-5*x^4+5*x^3+3*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1)/(x^2+1)/(x^4+1) ogf] A007877 11.7691 [-(x+1)*x/(x-1)/(x^2+1) ogf] A007877 23.0708 [[x^3-2*x+2] ogf_with_Euler_transform] A007877 27.6476 [-2*(1-x+x^2+x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A007877 5.98965 [-(2*f(x)+15)*(f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)+x) ogf] A007877 6.04360 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A007890 3.57037 [(9899010*x^12-9900990*x^11-100010*x^10-13997020*x^9+98010*x^8-99990*x^7-1010*x^6-129990*x^5-20*x^4-1190*x^3-10*x^2-10*x-1)/(x-1) ogf] A007891 8.27620 [-(x^5-x^4+x^3-3*x^2+3*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A007891 9.99495 [-2*(2-x-5*x^4-x^6+2*x^5+6*x^3+5*x^2+x^7)/(x-1)/(x^2+x+1)/(x^5-x^4+x^3-3*x^2+3*x+1) lgdogf] A007892 6.30145 [-(4+14*x+17*x^4-23*x^6+9*x^5+13*x^3+8*x^10-15*x^2+5*x^7-5*x^9-3*x^8)/(x-1)/(x+1)/(x^2+1)/(4*x^7-3*x^6-x^5+x^4-8*x^3+5*x^2+3*x+1) lgdogf] A007892 7.03386 [-(4*x^7-3*x^6-x^5+x^4-8*x^3+5*x^2+3*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A007893 6.16035 [-(9*x^9-5*x^8-3*x^7-x^6+x^5-15*x^4+7*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A007899 11.5023 [-(x^4+10*x^3+20*x^2+10*x+1)/(x+1)/(x-1)^3 ogf] A007899 4.40280 [{(-n^2+n)*a(n)+(n^2+7*n+30)*a(n+1)+(n^2-n+18)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=12,a(2)=44} ogf] A007899 6.9711 [(37*f(x)+31)*(f(x)*x^4-2*f(x)*x^3+x^4+10*x^3+2*f(x)*x+20*x^2-f(x)+10*x+1) ogf] A007899 9.02730 [-4*(3+16*x+3*x^4+16*x^3+25*x^2)/(x-1)/(x+1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A007900 10.4137 [-24*(x+1)*(x^2+6*x+1)/(x-1)/(x^4+20*x^3+54*x^2+20*x+1) lgdogf] A007900 3.71489 [-(35*f(x)+718)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-20*x^3-4*f(x)*x-54*x^2+f(x)-20*x-1) ogf] A007900 6.54327 [(x^4+20*x^3+54*x^2+20*x+1)/(x-1)^4 ogf] A007904 6.85878 [(x^4+2*x^3+4*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A007904 9.03670 [-(5+19*x+7*x^4+x^5+22*x^3+26*x^2)/(x-1)/(x+1)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A007907 10.1875 [-(11+400*x^3-330*x^2)/(x-1)/(10*x-1)/(10*x^2-1) lgdogf] A007907 11.6701 [-1/(x-1)/(10*x-1)/(10*x^2-1) ogf] A007907 3.63070 [{a(n+4)-11*a(n+3)+110*a(n+1)-100*a(n),a(0)=1,a(1)=11,a(2)=121,a(3)=1221} ogf] A007907 4.29953 [(1122211*f(x)-46400)*(100*f(x)*x^4-110*f(x)*x^3+11*f(x)*x-f(x)+1) ogf] A007908 6.45342 [144-720*x+900*x^2+(-24+324*x+600*x^3-900*x^2)*f(x)+(100*x^4+141*x^2+1-22*x-220*x^3)*f(x)^2 lgdogf] A007909 14.9593 [(x-1)/(2*x-1)/(x^2+1) ogf] A007909 18.1075 [-(-1+2*x+4*x^3-7*x^2)/(x-1)/(2*x-1)/(1+x^2) lgdogf] A007909 7.07896 [{-a(n+3)+2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A007909 7.6975 [(3*f(x)-4)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A007910 21.0629 [-1/(2*x-1)/(x^2+1) ogf] A007910 25.5073 [-2*(1-x+3*x^2)/(2*x-1)/(1+x^2) lgdogf] A007910 6.95827 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A007910 7.42215 [-(13*f(x)+20)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A007911 5.59250 [{(n^2+8*n+16)*a(n+1)+a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A007915 8.97831 [-x^7+x^6+2 ogf_with_Euler_transform] A007928 6.71695 [(4+8*x^5-5*x^24+20*x^10+3*x^25-10*x^9+10*x^20-20*x^14+24*x^15-10*x^19)/(x-1)/(x^15-x^10-2*x^5-2)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) lgdogf] A007928 7.62225 [-x*(x^15-x^10-2*x^5-2)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A007929 5.33392 [-(-23-27*x-89*x^4-3*x^6-7*x^5-35*x^3-31*x^2+x^7+9*x^9+5*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^5-2*x^4-2*x^3-2*x^2-2*x-21) lgdogf] A007929 7.43469 [-(9*x^5-2*x^4-2*x^3-2*x^2-2*x-21)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A007945 10.7755 [(2*x^2+x-2)/(x-1)/(x^2-x+1) ogf] A007945 15.2218 [-(-3+12*x+2*x^4+2*x^3-12*x^2)/(x-1)/(x^2-x+1)/(2*x^2+x-2) lgdogf] A007945 5.81685 [(23*f(x)+16)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x-2*x^2-f(x)-x+2) ogf] A007945 5.92166 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=0} ogf] A007946 4.97090 [{(-4*n^2-26*n-40)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=2,a(1)=9} ogf] A007946 9.77429 [4*f(x)^2*x^4-f(x)^2*x^3+4*f(x)*x-f(x)+x+2 ogf] A007953 7.65481 [-x*(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A007958 5.61565 [-2*(5*x^21-5*x^20+5*x^16-5*x^15+5*x^11-5*x^10+5*x^6-5*x^5+4*x-5)/(x-1)^2 ogf] A007971 14.8897 [-3*x^2-2*x+2*f(x)-f(x)^2 ogf] A007971 23.5655 [-1/3+1/3*(1+6*x-3*x^2)^(1/2) revogf] A007972 8.67685 [-(x^4-x^3-3*x^2+5*x+2)/(x-1)^5 ogf] A007975 5.57490 [-(2*x^6+4*x^5+15*x^4-75*x^3+46*x^2+41*x+2)/(x-1)^7 ogf] A007979 17.3981 [-x^7+x^2+2*x+2 ogf_with_Euler_transform] A007979 5.81264 [-(2+8*x+13*x^4+13*x^6+17*x^5+17*x^3+13*x^2+9*x^7+x^9+3*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A007979 6.49862 [(x^2+1)*(x^4+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A007980 11.5246 [-(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A007980 17.9391 [-(x^2+2)*(3*x^2+2*x+1)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A007980 25.3798 [-x^3+x^2+x+2 ogf_with_Euler_transform] A007981 7.35541 [-x^7*(x^3-x-1)/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A007982 5.45214 [-x^2*(x^8+x^7-x^6-x^5+2*x^4+2*x^3-3*x-2)/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A007983 7.50349 [-x^2*(x^4-x-1)/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A007985 4.44294 [9*f(x)^2*x^4-3*f(x)^2*x^3+3*f(x)^2*x^2+18*f(x)*x^3-f(x)^2*x-6*f(x)*x^2+6*f(x)*x+8*x^2-2*f(x)-4*x+4 ogf] A007986 4.847 [-(23382*f(x)-89429)*(121*f(x)*x^3-11*f(x)*x^2+11*f(x)*x+132*x^2-f(x)-10*x+2) ogf] A007986 5.29504 [{a(n+3)-11*a(n+2)+11*a(n+1)-121*a(n),a(0)=2,a(1)=12,a(2)=242} ogf] A007986 9.26632 [-2*(66*x^2-5*x+1)/(11*x-1)/(11*x^2+1) ogf] A007988 6.82007 [(x^4-x^3-x^2+2)/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A007988 9.67974 [-2*(1+5*x-4*x^4-3*x^5+5*x^3+6*x^2+2*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^3-x^2+2) lgdogf] A007993 6.21413 [-(3*x^5-12*x^4+18*x^3-13*x^2+6*x-3)/(x-1)^6 ogf] A007993 9.33872 [-(-12+4*x-9*x^4+3*x^5+6*x^3+2*x^2)/(x-1)/(3*x^5-12*x^4+18*x^3-13*x^2+6*x-3) lgdogf] A007997 10.4878 [-x^2*(x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A007997 16.9847 [-(1+2*x+3*x^4-2*x^3+5*x^2)/(x-1)/(1+x^2+x)/(x^2-x+1) lgdogf] A007997 26.9075 [-x^5+2*x^2+x+1 ogf_with_Euler_transform] A007997 4.24505 [{(-n^2-5*n-8)*a(n+1)+(-2*n-4)*a(n+2)+(-2*n-4)*a(n+3)+(n^2+3*n+4)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=1} ogf] A007997 5.75136 [(f(x)+1)*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3+x^4-f(x)*x^2-x^3+2*f(x)*x+x^2-f(x)) ogf] A008000 7.01448 [-(x+1)*(x^6+2*x^5+4*x^4+5*x^3+4*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008000 7.38724 [-(x^2+1)*(4*x^6+16*x^5+39*x^4+53*x^3+39*x^2+16*x+4)/(x-1)/(x+1)/(1+x^2+x)/(x^6+2*x^5+4*x^4+5*x^3+4*x^2+2*x+1) lgdogf] A008013 5.16160 [-(x^8+3*x^6+5*x^4+3*x^2+1)*(x+1)^3/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008014 5.03493 [-(x^2+x+1)*(x^2-x+1)*(x^8+2*x^7+3*x^6+x^5+x^3+3*x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A008039 4.39434 [-(x^10+x^9+4*x^8+3*x^7+6*x^6+6*x^5+6*x^4+3*x^3+4*x^2+x+1)*(x+1)^3/(x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008066 5.00040 [-(x+1)*(x^8+x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008084 6.11242 [-(x^4-x^3+3*x^2-x+1)*(x+1)^3/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A008084 7.74240 [-(4+2*x+38*x^4+25*x^6+4*x^5+4*x^3+25*x^2+2*x^7+4*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^3+3*x^2-x+1) lgdogf] A008085 5.41968 [-(4*x^9-8*x^8+5*x^7-2*x^6+10*x^5+3*x^4+7*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A008105 4.39670 [-(x+1)*(x^2+1)*(x^8+x^5+x^4+x^3+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008123 20.0169 [x^6-2*x^5+x^2-x+4 ogf_with_Euler_transform] A008123 6.20350 [-(x^2+x+1)*(x^2-x+1)^2*(x+1)^3/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008123 6.32421 [-(4+6*x+19*x^4+19*x^6+12*x^5+15*x^3+4*x^10+13*x^2+15*x^7+6*x^9+13*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008130 15.7109 [-2*(1+x+3*x^3+4*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A008130 26.4219 [2*x^2-x+2 ogf_with_Euler_transform] A008130 8.62088 [-x^3*(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008133 12.9223 [-x^3*(x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008133 20.6413 [-(1+3*x+5*x^4+x^3+8*x^2)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A008133 30.0480 [-x^3+2*x^2+x+1 ogf_with_Euler_transform] A008137 16.7489 [-x^5+x^4-x^3+x^2-x+4 ogf_with_Euler_transform] A008137 7.05185 [-(x^2+1)*(x^2-x+1)*(x+1)^3/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008137 8.01484 [-(4+2*x+18*x^4+11*x^6+4*x^5+4*x^3+11*x^2+2*x^7+4*x^8)/(x-1)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A008160 5.48979 [-(x^6+2*x^4+x^3+2*x^2+1)*(x+1)^3/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008217 17.1067 [-(1-5*x^4+6*x^5+6*x^3+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A008217 26.7282 [-x^5+2*x^3+x^2+1 ogf_with_Euler_transform] A008217 9.82363 [-x^4*(x^2-x+1)/(x+1)/(x^2+1)^2/(x-1)^3 ogf] A008218 7.84748 [x^4*(x^6+x^4+2*x^3+x^2+1)/(x+1)^3/(x^2+1)^3/(x-1)^4 ogf] A008218 9.41698 [-(1+3*x+4*x^4+22*x^6+20*x^5+20*x^3+8*x^2+10*x^7+7*x^9+x^8)/(x-1)/(x+1)/(x^2+1)/(x^6+x^4+2*x^3+x^2+1) lgdogf] A008233 5.28175 [-x^4*(x^6+x^4+2*x^3+x^2+1)/(x+1)^3/(x^2+1)^3/(x-1)^5 ogf] A008233 8.05337 [-2*(1+2*x+4*x^4+13*x^6+12*x^5+12*x^3+5*x^2+6*x^7+4*x^9+x^8)/(x-1)/(x+1)/(x^2+1)/(x^6+x^4+2*x^3+x^2+1) lgdogf] A008238 18.4782 [-2*(1+x^2+4*x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A008238 22.8335 [[2*x^3-x+2] ogf_with_Euler_transform] A008238 8.63918 [-x^4/(x+1)/(x^2+1)^2/(x-1)^3 ogf] A008239 4.92698 [-(x+1)*(x^4+x^3-x^2+x+1)*(x^2+1)^2/(x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A008249 5.21634 [(x^11+x^10+x^9-x^8-6*x^7-12*x^6-15*x^5-16*x^4-10*x^3-7*x^2-3*x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A008250 5.21634 [(x^11+x^10+3*x^9-3*x^8-8*x^7-12*x^6-13*x^5-14*x^4-12*x^3-7*x^2-3*x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A008253 10.7589 [-(x^4+2*x^3+4*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A008253 13.5492 [-4*(x^2+x+1)*(x^2+3*x+1)/(x-1)/(x+1)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A008253 6.52313 [(f(x)-5)*(f(x)*x^4-2*f(x)*x^3+x^4+2*x^3+2*f(x)*x+4*x^2-f(x)+2*x+1) ogf] A008254 6.12458 [-(x+1)*(2*x^8-4*x^7+3*x^6+8*x^4+4*x^3+4*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008255 10.3232 [-2*(2+4*x+13*x^4+2*x^6+4*x^5+7*x^3+13*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+3*x^2+1) lgdogf] A008255 6.89659 [-(x^4+3*x^2+1)*(x+1)^3/(x^2+x+1)^2/(x-1)^3 ogf] A008258 6.06299 [-(2*x^9-2*x^8+x^7-x^6+12*x^5+10*x^4+12*x^3+6*x^2+3*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008259 6.92913 [-(x+1)*(x^6+2*x^5+5*x^4+6*x^3+5*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008259 7.42276 [-2*(x^2+1)*(2*x^6+9*x^5+23*x^4+31*x^3+23*x^2+9*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^6+2*x^5+5*x^4+6*x^3+5*x^2+2*x+1) lgdogf] A008260 6.34023 [-(x^2+x+1)*(4*x^8+8*x^7+15*x^6+19*x^5+18*x^4+19*x^3+15*x^2+8*x+4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+2*x^4+3*x^3+2*x^2+x+1) lgdogf] A008260 7.01448 [-(x+1)*(x^6+x^5+2*x^4+3*x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008261 6.42702 [-(2*x^8-2*x^7-x^6+3*x^5+11*x^4+14*x^3+7*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008264 7.59768 [-(4+16*x+50*x^4+31*x^6+50*x^5+50*x^3+31*x^2+16*x^7+4*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+x^3+3*x^2+x+1) lgdogf] A008264 7.60034 [-(x^2+x+1)*(x^4+x^3+3*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A008265 5.18595 [-(x+1)*(x^10+2*x^9+5*x^8+6*x^7+9*x^6+11*x^5+9*x^4+6*x^3+5*x^2+2*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008266 6.07008 [-2*(2+5*x+33*x^4+33*x^6+38*x^5+25*x^3+2*x^10+15*x^2+25*x^7+5*x^9+15*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2+1)/(x^6+x^5+2*x^4+3*x^3+2*x^2+x+1) lgdogf] A008266 6.23277 [-(x+1)*(x^6+x^5+2*x^4+3*x^3+2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A008340 3.38469 [(x^8+232*x^7+24508*x^6+107224*x^5+133510*x^4+55384*x^3+7228*x^2+232*x+1)/(x-1)^8 ogf] A008343 5.75522 [-(44*x^24+46*x^23+14*x^9+16*x^8+4*x^4+6*x^3+x^2+x+1)/(x-1)/(x+1)^2 ogf] A008346 15.2491 [-1/(x^2+x-1)/(x+1) ogf] A008346 21.2938 [-x*(4+3*x)/(x+1)/(x^2+x-1) lgdogf] A008346 6.06686 [{-a(n+3)+2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A008346 9.93269 [(33*f(x)+31)*(f(x)*x^3+2*f(x)*x^2-f(x)+1) ogf] A008349 3.02726 [-(x^8+232*x^7+24508*x^6+107224*x^5+133510*x^4+55384*x^3+7228*x^2+232*x+1)/(x-1)^9 ogf] A008353 11.5982 [-(8*x^2-4*x+1)/(4*x-1)/(2*x-1)^2 ogf] A008353 6.19224 [-(17*f(x)-6)*(16*f(x)*x^3-20*f(x)*x^2+8*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A008353 6.35379 [{a(n+3)-8*a(n+2)+20*a(n+1)-16*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A008353 9.13356 [-4*(-1+4*x+16*x^3-8*x^2)/(2*x-1)/(4*x-1)/(8*x^2-4*x+1) lgdogf] A008354 12.3478 [-2*(7+27*x+x^3+15*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A008354 4.58071 [{(-n^2-4*n-4)*a(n+1)+(2*n^2+8*n+20)*a(n+2)+(-n^2-4*n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=14} ogf] A008354 8.80905 [-x*(x+1)*(x^2+8*x+1)/(x-1)^5 ogf] A008355 5.23090 [-(x+1)*(x^4+34*x^3+146*x^2+34*x+1)/(x-1)^5 ogf] A008355 7.95907 [-20*(2*x+1)*(x+2)*(x^2+10*x+1)/(x-1)/(x+1)/(x^4+34*x^3+146*x^2+34*x+1) lgdogf] A008356 4.55161 [(x+1)*(x^4+34*x^3+146*x^2+34*x+1)/(x-1)^6 ogf] A008356 6.63770 [-(41+535*x+75*x^4+x^5+680*x^3+1260*x^2)/(x-1)/(x+1)/(x^4+34*x^3+146*x^2+34*x+1) lgdogf] A008357 4.13983 [(x^6+54*x^5+447*x^4+852*x^3+447*x^2+54*x+1)/(x-1)^6 ogf] A008357 5.81299 [-12*(x+1)*(5*x^4+92*x^3+270*x^2+92*x+5)/(x-1)/(x^6+54*x^5+447*x^4+852*x^3+447*x^2+54*x+1) lgdogf] A008358 4.07385 [-(x^6+54*x^5+447*x^4+852*x^3+447*x^2+54*x+1)/(x-1)^7 ogf] A008358 5.40174 [-(61+1218*x+1611*x^4+x^6+114*x^5+5196*x^3+4791*x^2)/(x-1)/(x^6+54*x^5+447*x^4+852*x^3+447*x^2+54*x+1) lgdogf] A008359 3.43274 [-(x+1)*(x^6+76*x^5+855*x^4+2008*x^3+855*x^2+76*x+1)/(x-1)^7 ogf] A008360 3.88959 [(x+1)*(x^6+76*x^5+855*x^4+2008*x^3+855*x^2+76*x+1)/(x-1)^8 ogf] A008363 11.5513 [-2*(1+x+6*x^4+5*x^5+x^3+x^2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A008363 22.8641 [[2*x^4-x+2] ogf_with_Euler_transform] A008363 8.42927 [-x^5*(x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008376 3.99529 [-(x+1)*(x^8+134*x^7+2800*x^6+15386*x^5+27742*x^4+15386*x^3+2800*x^2+134*x+1)/(x-1)^9 ogf] A008377 3.54932 [(x+1)*(x^8+134*x^7+2800*x^6+15386*x^5+27742*x^4+15386*x^3+2800*x^2+134*x+1)/(x-1)^10 ogf] A008378 3.20365 [(x^10+170*x^9+4685*x^8+38200*x^7+124850*x^6+183356*x^5+124850*x^4+38200*x^3+4685*x^2+170*x+1)/(x-1)^10 ogf] A008379 5.26937 [-(x^10+170*x^9+4685*x^8+38200*x^7+124850*x^6+183356*x^5+124850*x^4+38200*x^3+4685*x^2+170*x+1)/(x-1)^11 ogf] A008383 14.6443 [-20*(x+1)*(1+x^2+5*x)/(x-1)/(x^4+16*x^3+36*x^2+16*x+1) lgdogf] A008383 5.19506 [-(14*f(x)+187)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-16*x^3-4*f(x)*x-36*x^2+f(x)-16*x-1) ogf] A008383 5.75168 [{-n^2*a(n)+(2*n^2+4*n+22)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=20} ogf] A008383 9.15040 [(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^4 ogf] A008384 5.58274 [-(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^5 ogf] A008384 8.47502 [-(21+136*x+x^4+36*x^3+156*x^2)/(x-1)/(x^4+16*x^3+36*x^2+16*x+1) lgdogf] A008385 5.17551 [{-n^2*a(n)+(2*n^2+4*n+32)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=30} ogf] A008385 6.64745 [-(x+1)*(x^4+24*x^3+76*x^2+24*x+1)/(x-1)^5 ogf] A008385 7.88555 [-30*(1+10*x+x^4+10*x^3+20*x^2)/(x-1)/(x+1)/(x^4+24*x^3+76*x^2+24*x+1) lgdogf] A008386 4.69192 [(x+1)*(x^4+24*x^3+76*x^2+24*x+1)/(x-1)^6 ogf] A008386 7.02301 [-(31+325*x+55*x^4+x^5+400*x^3+700*x^2)/(x-1)/(x+1)/(x^4+24*x^3+76*x^2+24*x+1) lgdogf] A008387 4.99830 [{-n^2*a(n)+(2*n^2+4*n+44)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=42} ogf] A008387 5.46689 [(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1)/(x-1)^6 ogf] A008387 5.83347 [-42*(x+1)*(x^4+14*x^3+36*x^2+14*x+1)/(x-1)/(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1) lgdogf] A008388 3.93653 [-(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1)/(x-1)^7 ogf] A008388 5.37513 [-(43+666*x+855*x^4+x^6+78*x^5+2500*x^3+2325*x^2)/(x-1)/(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1) lgdogf] A008389 4.32064 [-(x+1)*(x^6+48*x^5+393*x^4+832*x^3+393*x^2+48*x+1)/(x-1)^7 ogf] A008389 4.59840 [{-n^2*a(n)+(2*n^2+4*n+58)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=56} ogf] A008390 3.48231 [(x+1)*(x^6+48*x^5+393*x^4+832*x^3+393*x^2+48*x+1)/(x-1)^8 ogf] A008391 4.47266 [(x^8+64*x^7+784*x^6+3136*x^5+4900*x^4+3136*x^3+784*x^2+64*x+1)/(x-1)^8 ogf] A008391 5.39914 [{-n^2*a(n)+(2*n^2+4*n+74)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=72} ogf] A008391 6.08891 [-72*(x+1)*(x^6+27*x^5+169*x^4+321*x^3+169*x^2+27*x+1)/(x-1)/(x^8+64*x^7+784*x^6+3136*x^5+4900*x^4+3136*x^3+784*x^2+64*x+1) lgdogf] A008393 3.17030 [-(x+1)*(x^8+80*x^7+1216*x^6+5840*x^5+10036*x^4+5840*x^3+1216*x^2+80*x+1)/(x-1)^9 ogf] A008393 4.41577 [{-n^2*a(n)+(2*n^2+4*n+92)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=90} ogf] A008395 4.65833 [{-n^2*a(n)+(2*n^2+4*n+112)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=110} ogf] A008395 4.82834 [(x^10+100*x^9+2025*x^8+14400*x^7+44100*x^6+63504*x^5+44100*x^4+14400*x^3+2025*x^2+100*x+1)/(x-1)^10 ogf] A008397 3.25027 [-(x^7+119*x^6+2037*x^5+8787*x^4+8211*x^3+2037*x^2+119*x+1)/(x-1)^7 ogf] A008398 3.16216 [(x^7+119*x^6+2037*x^5+8787*x^4+8211*x^3+2037*x^2+119*x+1)/(x-1)^8 ogf] A008399 6.08202 [(x^6+66*x^5+645*x^4+1384*x^3+645*x^2+66*x+1)/(x-1)^6 ogf] A008399 6.09078 [-36*(x+1)*(x^2+4*x+1)*(2*x^2+35*x+2)/(x-1)/(x^6+66*x^5+645*x^4+1384*x^3+645*x^2+66*x+1) lgdogf] A008400 3.85260 [-(x^6+66*x^5+645*x^4+1384*x^3+645*x^2+66*x+1)/(x-1)^7 ogf] A008400 5.09112 [-(73+1686*x+2265*x^4+x^6+138*x^5+8116*x^3+7377*x^2)/(x-1)/(x^6+66*x^5+645*x^4+1384*x^3+645*x^2+66*x+1) lgdogf] A008401 4.13204 [(x^6+48*x^5+519*x^4+1024*x^3+519*x^2+48*x+1)/(x-1)^6 ogf] A008401 5.78324 [-18*(x+1)*(3*x^4+68*x^3+218*x^2+68*x+3)/(x-1)/(x^6+48*x^5+519*x^4+1024*x^3+519*x^2+48*x+1) lgdogf] A008402 3.78541 [-(x^6+48*x^5+519*x^4+1024*x^3+519*x^2+48*x+1)/(x-1)^7 ogf] A008402 5.00021 [-(55+1326*x+1797*x^4+x^6+102*x^5+6172*x^3+5667*x^2)/(x-1)/(x^6+48*x^5+519*x^4+1024*x^3+519*x^2+48*x+1) lgdogf] A008405 33.6923 [-(ln(x+1)-1)/(x+1)^2 lgdegf] A008412 35.2495 [[8-4*x] ogf_with_Euler_transform] A008412 39.8560 [-8/(x-1)/(x+1) lgdogf] A008412 5.00473 [-(f(x)+1)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-4*x^3-4*f(x)*x-6*x^2+f(x)-4*x-1) ogf] A008412 7.03496 [{(n+2)*a(n+2)-8*a(n+1)-n*a(n),a(0)=1,a(1)=8} ogf] A008412 8.77301 [(x+1)^4/(x-1)^4 ogf] A008413 3.92625 [-(f(x)-1)*(f(x)*x^5-5*f(x)*x^4+x^5+10*f(x)*x^3+5*x^4-10*f(x)*x^2+10*x^3+5*f(x)*x+10*x^2-f(x)+5*x+1) ogf] A008413 31.6643 [[10-5*x] ogf_with_Euler_transform] A008413 37.2648 [-10/(x-1)/(x+1) lgdogf] A008413 6.50740 [{(n+2)*a(n+2)-10*a(n+1)-n*a(n),a(0)=1,a(1)=10} ogf] A008413 6.69332 [-(x+1)^5/(x-1)^5 ogf] A008414 30.3057 [[12-6*x] ogf_with_Euler_transform] A008414 37.1331 [-12/(x-1)/(x+1) lgdogf] A008414 5.47511 [(x+1)^6/(x-1)^6 ogf] A008414 6.23554 [{(n+2)*a(n+2)-12*a(n+1)-n*a(n),a(0)=1,a(1)=12} ogf] A008415 29.6625 [[14-7*x] ogf_with_Euler_transform] A008415 33.4755 [-14/(x-1)/(x+1) lgdogf] A008415 4.67926 [-(x+1)^7/(x-1)^7 ogf] A008415 6.10904 [{(n+2)*a(n+2)-14*a(n+1)-n*a(n),a(0)=1,a(1)=14} ogf] A008416 30.0634 [[16-8*x] ogf_with_Euler_transform] A008416 35.8060 [-16/(x-1)/(x+1) lgdogf] A008416 4.20790 [(x+1)^8/(x-1)^8 ogf] A008416 6.19496 [{(n+2)*a(n+2)-16*a(n+1)-n*a(n),a(0)=1,a(1)=16} ogf] A008417 39.7322 [[17-8*x] ogf_with_Euler_transform] A008417 45.7263 [-(17+x)/(x-1)/(x+1) lgdogf] A008417 5.19138 [-(x+1)^8/(x-1)^9 ogf] A008417 6.39518 [{(-n-3)*a(n+3)+17*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=17,a(2)=145} ogf] A008418 28.3135 [[18-9*x] ogf_with_Euler_transform] A008418 3.48564 [-(x+1)^9/(x-1)^9 ogf] A008418 33.3146 [-18+(1-x^2)*f(x) lgdogf] A008418 5.84167 [{(n+2)*a(n+2)-18*a(n+1)-n*a(n),a(0)=1,a(1)=18} ogf] A008419 3.78349 [(x+1)^9/(x-1)^10 ogf] A008419 33.3215 [[19-9*x] ogf_with_Euler_transform] A008419 38.3358 [-(19+x)/(x-1)/(x+1) lgdogf] A008419 5.37365 [{(-n-3)*a(n+3)+19*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=19,a(2)=181} ogf] A008420 26.5835 [[20-10*x] ogf_with_Euler_transform] A008420 32.0689 [-20/(x-1)/(x+1) lgdogf] A008420 5.73815 [{(n+2)*a(n+2)-20*a(n+1)-n*a(n),a(0)=1,a(1)=20} ogf] A008421 3.30213 [-(x+1)^10/(x-1)^11 ogf] A008421 31.4890 [[21-10*x] ogf_with_Euler_transform] A008421 37.8968 [-(21+x)/(x-1)/(x+1) lgdogf] A008421 5.31212 [{(-n-3)*a(n+3)+21*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=21,a(2)=221} ogf] A008425 99.9999 Evaluated at exp(-Pi) 5/8*Pi^(3/2)/GAMMA(3/4)^6 A008427 99.9999 Evaluated at exp(-Pi) 5/4*Pi^2/GAMMA(3/4)^8 A008428 99.9999 Evaluated at exp(-Pi) 5/2*Pi^(3/2)/GAMMA(3/4)^6 A008437 17.0294 [3*x^7/(x^8+1) ogf_with_Euler_transform] A008438 33.8736 [-4/(-x-1) ogf_with_Euler_transform] A008438 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A008439 34.3028 [-5/(-x-1) ogf_with_Euler_transform] A008439 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/8*Pi)*Pi^(5/4)*2^(7/8)/GAMMA(3/4)^5 A008440 31.7011 [-6/(-x-1) ogf_with_Euler_transform] A008440 99.9999 Evaluated at exp(-Pi) 1/16*exp(3/4*Pi)*Pi^(3/2)*2^(1/4)/GAMMA(3/4)^6 A008441 32.8823 [-2/(-x-1) ogf_with_Euler_transform] A008441 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(1/2)*2^(3/4)/GAMMA(3/4)^2 A008442 18.0146 [2*x^3/(x^4+1) ogf_with_Euler_transform] A008442 99.9999 Evaluated at exp(-Pi) 1/32*exp(Pi)/Pi^(1/2)*2^(1/2)/GAMMA(7/8)^2*GAMMA(5/8)^2 A008443 36.4221 [-3/(-x-1) ogf_with_Euler_transform] A008443 99.9999 Evaluated at exp(-Pi) 1/4*exp(3/8*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^3 A008451 11.7909 [-(7*x^2-7*x+14)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A008451 99.9999 Evaluated at exp(-Pi) Pi^(7/4)/GAMMA(3/4)^7 A008452 11.5205 [-(9*x^2-9*x+18)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A008452 99.9999 Evaluated at exp(-Pi) Pi^(9/4)/GAMMA(3/4)^9 A008453 10.9338 [-(11*x^2-11*x+22)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A008453 99.9999 Evaluated at exp(-Pi) Pi^(11/4)/GAMMA(3/4)^11 A008454 5.63937 [-x*(x+1)*(x^8+1012*x^7+46828*x^6+408364*x^5+901990*x^4+408364*x^3+46828*x^2+1012*x+1)/(x-1)^11 ogf] A008458 12.6346 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+4*x+1 ogf] A008458 16.9256 [(x^2+4*x+1)/(x-1)^2 ogf] A008458 33.8749 [-6*(x+1)/(x-1)/(x^2+4*x+1) lgdogf] A008458 8.70931 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=12} ogf] A008461 10.6379 [(49+96*x+315*x^4+36*x^5-546*x^3+51*x^2)/(x-1)/(9*x^5+120*x^4-33*x^3-48*x^2-42*x-7) lgdogf] A008461 12.0336 [(9*x^5+120*x^4-33*x^3-48*x^2-42*x-7)/(x-1) ogf] A008462 6.39402 [(27*x^12-8*x^11+36*x^10+60*x^9-12*x^8-42*x^7-145*x^6-89*x^5-85*x^4-29*x^3-52*x^2-64*x-8)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A008463 6.93771 [(45*x^11+61*x^10+61*x^9-33*x^8-145*x^7-89*x^6-58*x^5-37*x^4-61*x^3-65*x^2-81*x-9)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A008464 10.1317 [-(-5+22*x+32*x^3-32*x^2)/(2*x-1)/(4*x-1)/(4*x^2-3*x+1) lgdogf] A008464 4.86503 [{a(n+3)-8*a(n+2)+20*a(n+1)-16*a(n),a(0)=1,a(1)=5,a(2)=24} ogf] A008464 6.32676 [(193*f(x)+41)*(16*f(x)*x^3-20*f(x)*x^2+8*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A008464 8.88060 [-(4*x^2-3*x+1)/(4*x-1)/(2*x-1)^2 ogf] A008465 2.99580 [(1056*x^5-1104*x^4+464*x^3-104*x^2+14*x-1)/(4*x-1)^4/(2*x-1)^5 ogf] A008466 17.1616 [x^2/(2*x-1)/(x^2+x-1) ogf] A008466 23.1885 [-(-3+2*x+6*x^2)/(2*x-1)/(x^2+x-1) lgdogf] A008466 7.02066 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A008466 9.53423 [2*f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x) ogf] A008483 21.3876 [-x^2/(x-1) ogf_with_Euler_transform] A008484 27.4834 [-x^3/(x-1) ogf_with_Euler_transform] A008486 12.6628 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+x+1 ogf] A008486 16.9634 [(x^2+x+1)/(x-1)^2 ogf] A008486 35.8235 [[-x^2+3] ogf_with_Euler_transform] A008486 36.7703 [-3*(x+1)/(x-1)/(x^2+x+1) lgdogf] A008486 8.81430 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=6} ogf] A008487 18.2600 [-5*(x+1)*(1+x^2)/(x-1)/(x^4+x^3+x^2+x+1) lgdogf] A008487 32.8915 [[-x^4+5] ogf_with_Euler_transform] A008487 4.05620 [{(n^2+5*n)*a(n)+(-2*n^2-4*n+18)*a(n+1)+(n^2-n-6)*a(n+2),a(0)=1,a(1)=5,a(2)=15,a(3)=35,a(4)=70,a(5)=125} ogf] A008487 6.03988 [f(x)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-x-1) ogf] A008487 9.73487 [(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A008488 10.7642 [-6*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A008488 3.73047 [{(n^2+6*n)*a(n)+(-2*n^2-4*n+28)*a(n+1)+(n^2-2*n-8)*a(n+2),a(0)=1,a(1)=6,a(2)=21,a(3)=56,a(4)=126,a(5)=252,a(6)=461} ogf] A008488 32.4473 [[-x^5+6] ogf_with_Euler_transform] A008488 7.93179 [-(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)^5 ogf] A008489 31.4293 [[-x^6+7] ogf_with_Euler_transform] A008489 6.59965 [(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A008489 9.58005 [-7*(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008490 31.1889 [[-x^7+8] ogf_with_Euler_transform] A008490 5.73999 [-(x+1)*(x^2+1)*(x^4+1)/(x-1)^7 ogf] A008490 9.41669 [-8*(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(1+x^2)/(1+x^4) lgdogf] A008491 10.8382 [-9*(x+1)*(1+x^2)*(1+x^4)/(x-1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A008491 37.7930 [-x^8+9 ogf_with_Euler_transform] A008491 5.19936 [(x^2+x+1)*(x^6+x^3+1)/(x-1)^8 ogf] A008492 34.3212 [-x^9+10 ogf_with_Euler_transform] A008492 4.40662 [-(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)^9 ogf] A008492 7.09917 [-10*(x^2+x+1)*(x^6+x^3+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A008493 3.85009 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^10 ogf] A008493 32.6482 [-x^10+11 ogf_with_Euler_transform] A008493 5.37564 [-11*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(1+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x) lgdogf] A008494 3.46041 [-(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x-1)^11 ogf] A008494 32.3079 [-x^11+12 ogf_with_Euler_transform] A008495 14.3849 [169+(-26+26*x)*f(x)+(x^2+1-2*x)*f(x)^2 lgdogf] A008496 5.05089 [-(1+x+24*x^4+4*x^6+4*x^5+10*x^3+x^10+4*x^2+x^11+8*x^12+24*x^7+12*x^9+26*x^8)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6-x^5+2*x^3-x+1) lgdogf] A008496 5.30637 [x^5*(x^2+x+1)*(x^6-x^5+2*x^3-x+1)/(x^4+x^3+x^2+x+1)^3/(x-1)^4 ogf] A008497 18.1074 [-x^7+2*x^4+x^3+1 ogf_with_Euler_transform] A008497 8.51638 [-x^5*(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008497 9.27221 [-(1+x+12*x^4+x^6+x^5+5*x^3+x^2+x^7+7*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A008498 11.5182 [-(6+6*x+6*x^2+6*x^3+x^4)/(x^4+x^3+x^2+x+1)/(x-1) lgdogf] A008498 22.4479 [[-x^4+6] ogf_with_Euler_transform] A008498 5.96429 [-(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A008499 23.1670 [[-x^5+7] ogf_with_Euler_transform] A008499 5.22327 [(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)^6 ogf] A008499 9.21615 [-(7+7*x+7*x^2+7*x^3+7*x^4+x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A008500 26.6654 [[-x^6+8] ogf_with_Euler_transform] A008500 5.21753 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^7 ogf] A008500 9.69597 [-(8+8*x+8*x^2+8*x^3+8*x^4+8*x^5+x^6)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008501 22.6764 [[-x^7+9] ogf_with_Euler_transform] A008501 3.92792 [(x+1)*(x^2+1)*(x^4+1)/(x-1)^8 ogf] A008501 8.00418 [-(9+9*x+9*x^2+9*x^3+9*x^4+9*x^5+9*x^6+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A008502 23.8354 [-x^8+10 ogf_with_Euler_transform] A008502 6.16952 [-(10+10*x+10*x^2+10*x^3+10*x^4+10*x^5+10*x^6+10*x^7+x^8)/(x-1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A008506 13.9447 [196+(-28+28*x)*f(x)+(x^2+1-2*x)*f(x)^2 lgdogf] A008511 13.3008 [-16*(1+4*x+x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A008511 21.4594 [[-x^2+5] ogf_with_Euler_transform] A008511 3.79115 [-(75*f(x)+656)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-16*x^3-4*f(x)*x-16*x^2+f(x)-16*x) ogf] A008511 7.13336 [16*x*(x^2+x+1)/(x-1)^4 ogf] A008512 5.53877 [-2*(16*x^4+41*x^3+51*x^2+11*x+1)/(x-1)^5 ogf] A008512 7.61753 [-4*(8+73*x+8*x^4+73*x^3+138*x^2)/(x-1)/(x+1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A008513 4.51403 [8*x*(8*x^4+43*x^3+78*x^2+43*x+8)/(x-1)^6 ogf] A008513 7.04411 [-16*(4+59*x+4*x^4+59*x^3+144*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A008514 11.8800 [-(17+75*x+x^3+27*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A008514 5.71235 [-(x^2+10*x+1)*(x+1)^2/(x-1)^5 ogf] A008515 13.6055 [-(33+319*x+59*x^4+x^5+384*x^3+644*x^2)/(x-1)/(x+1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A008515 9.15672 [(x+1)*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A008516 4.02807 [-(x^4+56*x^3+246*x^2+56*x+1)*(x+1)^2/(x-1)^7 ogf] A008516 6.57688 [-(65+1001*x+121*x^4+x^5+1246*x^3+2606*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A008522 12.9302 [-(x^5+3*x^3-4*x^2+x-2)/(x-1)^2 ogf] A008522 14.8337 [(3+7*x-5*x^4+3*x^5+3*x^3-9*x^2)/(x-1)/(x^5+3*x^3-4*x^2+x-2) lgdogf] A008527 14.1593 [-2*(5+14*x+5*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A008527 4.40640 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=10,a(2)=34,a(3)=74} ogf] A008527 7.55202 [(44*f(x)-161)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+7*x^2-f(x)+7*x+1) ogf] A008527 8.62122 [-(x+1)*(x^2+6*x+1)/(x-1)^3 ogf] A008528 5.93698 [-(209*f(x)+2713)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-14*x^3-4*f(x)*x-36*x^2+f(x)-14*x-1) ogf] A008528 6.39022 [(x^4+14*x^3+36*x^2+14*x+1)/(x-1)^4 ogf] A008528 9.80125 [-6*(x+1)*(3*x^2+16*x+3)/(x-1)/(x^4+14*x^3+36*x^2+14*x+1) lgdogf] A008529 13.4389 [-2*(7+26*x+7*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A008529 5.89803 [(220*f(x)+1319)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-10*x^3-4*f(x)*x-18*x^2+f(x)-10*x-1) ogf] A008529 6.41590 [(x^2+8*x+1)*(x+1)^2/(x-1)^4 ogf] A008530 20.2812 [-12*(x+1)/(x-1)/(x^2+4*x+1) lgdogf] A008530 6.03144 [(25*f(x)+139)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-8*x^3-4*f(x)*x-18*x^2+f(x)-8*x-1) ogf] A008530 6.52556 [(x^2+4*x+1)^2/(x-1)^4 ogf] A008531 14.9701 [-10*(x+1)*(x^2+4*x+1)/(x-1)/(x^4+6*x^3+16*x^2+6*x+1) lgdogf] A008531 5.35807 [(15*f(x)+67)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-6*x^3-4*f(x)*x-16*x^2+f(x)-6*x-1) ogf] A008531 9.22087 [(x^4+6*x^3+16*x^2+6*x+1)/(x-1)^4 ogf] A008532 20.1539 [-2*(5+14*x+5*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A008532 3.72153 [{(-20*n^2-105*n)*a(n)+(-79*n^2-666*n-1437)*a(n+1)+(20*n^2-369*n-2328)*a(n+2)+(79*n^2+546*n+927)*a(n+3),a(0)=1,a(1)=10,a(2)=44} ogf] A008532 5.53332 [(1140*f(x)+2939)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-6*x^3-4*f(x)*x-10*x^2+f(x)-6*x-1) ogf] A008532 9.77983 [(x^2+4*x+1)*(x+1)^2/(x-1)^4 ogf] A008533 10.1817 [-12*(x^2+3*x+1)^2/(x-1)/(x+1)/(x^4+6*x^3+16*x^2+6*x+1) lgdogf] A008533 3.82753 [{(n^2+n)*a(n)+(2*n^2+18*n+16)*a(n+1)+(-2*n^2+6*n+20)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=12,a(2)=72} ogf] A008533 7.61861 [-(x+1)*(x^4+6*x^3+16*x^2+6*x+1)/(x-1)^5 ogf] A008534 4.55604 [(x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1)/(x-1)^6 ogf] A008534 6.92862 [-14*(x+1)*(x^4+6*x^3+16*x^2+6*x+1)/(x-1)/(x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1) lgdogf] A008535 5.42917 [-8*(2+16*x+58*x^4+2*x^6+16*x^5+93*x^3+58*x^2)/(x-1)/(x+1)/(x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1) lgdogf] A008535 5.45157 [-(x+1)*(x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1)/(x-1)^7 ogf] A008542 11.4864 [-1/6*(1-5*x)^(1/5)+5/6*(1-5*x)^(1/5)*x+1/6 revegf] A008542 32.1620 [-1+(1-6*x)*f(x) lgdegf] A008542 5.60819 [{(-6*n-7)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A008543 15.4123 [-1/6*x*(x-2)*(x^2-x+1)*(x^2-3*x+3) revegf] A008543 34.9346 [-5+(1-6*x)*f(x) lgdegf] A008543 6.01247 [{(-6*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A008544 28.8321 [1/3*x*(x^2-3*x+3) revegf] A008544 49.0145 [-2/(3*x-1) lgdegf] A008544 5.69861 [{(-3*n-5)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A008544 7.95998 [9*f(x)^3*x^2-6*f(x)^3*x+f(x)^3-1 egf] A008545 26.2542 [-1/4*x*(x-2)*(x^2-2*x+2) revegf] A008545 42.0067 [-3+(1-4*x)*f(x) lgdegf] A008545 7.29161 [{(-4*n-7)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A008546 16.0989 [1/5*x*(5-10*x+10*x^2-5*x^3+x^4) revegf] A008546 33.2711 [-4+(1-5*x)*f(x) lgdegf] A008546 5.79724 [{(-5*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A008548 12.7494 [-1/5*(1-4*x)^(1/4)+4/5*(1-4*x)^(1/4)*x+1/5 revegf] A008548 35.6984 [-1+(1-5*x)*f(x) lgdegf] A008548 6.21375 [{(-5*n-6)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A008549 4.97289 [{(-16*n-40)*a(n+1)+(8*n+26)*a(n+2)+(-n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A008549 6.63051 [-16*f(x)^2*x^3+8*f(x)^2*x^2-f(x)^2*x+8*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A008553 10.0252 [{-a(n+2)+2*a(n+1)-a(n),a(0)=20,a(1)=21} ogf] A008553 17.9174 [-(19*x-20)/(x-1)^2 ogf] A008553 28.4607 [-(-10-x+(100+x)^(1/2))/(19+x) revogf] A008553 30.5689 [-(-21+19*x)/(x-1)/(19*x-20) lgdogf] A008553 9.46203 [(2*f(x)+401)*(f(x)*x^2-2*f(x)*x+f(x)+19*x-20) ogf] A008574 12.1178 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1 ogf] A008574 16.2332 [(x+1)^2/(x-1)^2 ogf] A008574 40.7978 [[4-2*x] ogf_with_Euler_transform] A008574 60.2893 [-4/(x-1)/(x+1) lgdogf] A008574 8.43491 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=8} ogf] A008576 11.1057 [-(3+4*x+3*x^4+4*x^3+10*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A008576 19.5601 [-x^3+x^2-x+3 ogf_with_Euler_transform] A008576 5.06837 [(23*f(x)+2)*(f(x)*x^4-f(x)*x^3-x^4-2*x^3-f(x)*x-2*x^2+f(x)-2*x-1) ogf] A008576 8.42535 [(x^2+1)*(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A008577 18.2068 [-x^3+x^2-x+4 ogf_with_Euler_transform] A008577 6.50512 [-(x^2+1)*(x+1)^2/(x^2+x+1)/(x-1)^3 ogf] A008577 9.67575 [-(4+6*x+5*x^4+x^5+7*x^3+13*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A008579 7.61001 [-(2*x+1)*(x^4-2*x^3-2*x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A008579 7.80645 [2*(2+8*x-2*x^4+x^6+12*x^3+15*x^2)/(x-1)/(2*x+1)/(x+1)/(x^4-2*x^3-2*x^2-2*x-1) lgdogf] A008580 7.90558 [(5+21*x+5*x^4+x^5+36*x^3+40*x^2)/(x-1)/(2*x+1)/(x+1)/(x^4-2*x^3-2*x^2-2*x-1) lgdogf] A008580 8.16402 [(2*x+1)*(x^4-2*x^3-2*x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A008581 17.0112 [x^6+x^4+x^3+x^2+x+1 ogf_with_Euler_transform] A008581 7.47913 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^6 ogf] A008585 10.0680 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A008585 100.409 [-2/(x-1) lgdogf] A008585 14.1567 [-f(x)*x^2+2*f(x)*x-f(x)+3*x ogf] A008585 22.0408 [3*x/(x-1)^2 ogf] A008585 32.1310 [12*x/(3+(9+12*x)^(1/2))^2 revogf] A008586 10.3266 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A008586 103.034 [-2/(x-1) lgdogf] A008586 14.1771 [-f(x)*x^2+2*f(x)*x-f(x)+4*x ogf] A008586 22.6068 [4*x/(x-1)^2 ogf] A008586 43.3826 [x/(1+(1+x)^(1/2))^2 revogf] A008587 10.1379 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A008587 101.137 [-2/(x-1) lgdogf] A008587 13.9182 [-f(x)*x^2+2*f(x)*x-f(x)+5*x ogf] A008587 22.1938 [5*x/(x-1)^2 ogf] A008587 31.1191 [20*x/(5+(20*x+25)^(1/2))^2 revogf] A008588 11.0245 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A008588 110.094 [-2/(x-1) lgdogf] A008588 15.1353 [-f(x)*x^2+2*f(x)*x-f(x)+6*x ogf] A008588 24.1346 [6*x/(x-1)^2 ogf] A008588 38.2934 [6*x/(3+(9+6*x)^(1/2))^2 revogf] A008589 10.1420 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=7} ogf] A008589 101.185 [-2/(x-1) lgdogf] A008589 13.9238 [-f(x)*x^2+2*f(x)*x-f(x)+7*x ogf] A008589 22.2028 [7*x/(x-1)^2 ogf] A008589 31.1339 [28*x/(7+(49+28*x)^(1/2))^2 revogf] A008590 10.2410 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A008590 102.187 [-2/(x-1) lgdogf] A008590 14.0596 [-f(x)*x^2+2*f(x)*x-f(x)+8*x ogf] A008590 22.4194 [8*x/(x-1)^2 ogf] A008590 35.5433 [2*x/(2+(4+2*x)^(1/2))^2 revogf] A008591 10.0463 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=9} ogf] A008591 100.223 [-2/(x-1) lgdogf] A008591 13.7924 [-f(x)*x^2+2*f(x)*x-f(x)+9*x ogf] A008591 21.9933 [9*x/(x-1)^2 ogf] A008591 34.8602 [4*x/(3+(9+4*x)^(1/2))^2 revogf] A008592 10.0697 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=10} ogf] A008592 101.719 [-2/(x-1) lgdogf] A008592 13.762 [-f(x)*x^2+2*f(x)*x-f(x)+10*x ogf] A008592 21.7294 [10*x/(x-1)^2 ogf] A008592 31.2982 [10*x/(5+(10*x+25)^(1/2))^2 revogf] A008593 10.0697 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=11} ogf] A008593 101.719 [-2/(x-1) lgdogf] A008593 13.762 [-f(x)*x^2+2*f(x)*x-f(x)+11*x ogf] A008593 21.7294 [11*x/(x-1)^2 ogf] A008593 29.0626 [44*x/(11+(121+44*x)^(1/2))^2 revogf] A008594 10.1184 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=12} ogf] A008594 102.218 [-2/(x-1) lgdogf] A008594 13.8285 [-f(x)*x^2+2*f(x)*x-f(x)+12*x ogf] A008594 21.8344 [12*x/(x-1)^2 ogf] A008594 35.5540 [3*x/(3+(9+3*x)^(1/2))^2 revogf] A008595 100.250 [-2/(x-1) lgdogf] A008595 13.5652 [-f(x)*x^2+2*f(x)*x-f(x)+13*x ogf] A008595 21.4187 [13*x/(x-1)^2 ogf] A008595 28.6428 [52*x/(13+(169+52*x)^(1/2))^2 revogf] A008595 9.92572 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=13} ogf] A008596 100.250 [-2/(x-1) lgdogf] A008596 13.5652 [-f(x)*x^2+2*f(x)*x-f(x)+14*x ogf] A008596 21.4187 [14*x/(x-1)^2 ogf] A008596 30.8461 [14*x/(7+(49+14*x)^(1/2))^2 revogf] A008596 9.92572 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=14} ogf] A008597 100.746 [-2/(x-1) lgdogf] A008597 13.6313 [-f(x)*x^2+2*f(x)*x-f(x)+15*x ogf] A008597 21.5232 [15*x/(x-1)^2 ogf] A008597 28.7846 [60*x/(15+(225+60*x)^(1/2))^2 revogf] A008597 9.97415 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=15} ogf] A008598 100.746 [-2/(x-1) lgdogf] A008598 13.6313 [-f(x)*x^2+2*f(x)*x-f(x)+16*x ogf] A008598 21.5232 [16*x/(x-1)^2 ogf] A008598 42.4194 [x/(2+(4+x)^(1/2))^2 revogf] A008598 9.97415 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=16} ogf] A008599 10.0226 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=17} ogf] A008599 101.242 [-2/(x-1) lgdogf] A008599 13.6975 [-f(x)*x^2+2*f(x)*x-f(x)+17*x ogf] A008599 21.6276 [17*x/(x-1)^2 ogf] A008599 28.9264 [68*x/(17+(289+68*x)^(1/2))^2 revogf] A008600 10.0226 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=18} ogf] A008600 101.242 [-2/(x-1) lgdogf] A008600 13.6975 [-f(x)*x^2+2*f(x)*x-f(x)+18*x ogf] A008600 21.6276 [18*x/(x-1)^2 ogf] A008600 35.2147 [2*x/(3+(9+2*x)^(1/2))^2 revogf] A008601 10.0226 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=19} ogf] A008601 101.242 [-2/(x-1) lgdogf] A008601 13.6975 [-f(x)*x^2+2*f(x)*x-f(x)+19*x ogf] A008601 21.6276 [19*x/(x-1)^2 ogf] A008601 28.9264 [76*x/(19+(361+76*x)^(1/2))^2 revogf] A008602 13.1716 [-f(x)*x^2+2*f(x)*x-f(x)+20*x ogf] A008602 20.7973 [20*x/(x-1)^2 ogf] A008602 32.4376 [5*x/(5+(25+5*x)^(1/2))^2 revogf] A008602 9.63778 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=20} ogf] A008602 97.3128 [-2/(x-1) lgdogf] A008603 12.1298 [-f(x)*x^2+2*f(x)*x-f(x)+21*x ogf] A008603 19.1523 [21*x/(x-1)^2 ogf] A008603 25.5776 [84*x/(21+(441+84*x)^(1/2))^2 revogf] A008603 8.87544 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=21} ogf] A008603 89.5215 [-2/(x-1) lgdogf] A008604 11.4859 [-f(x)*x^2+2*f(x)*x-f(x)+22*x ogf] A008604 18.1357 [22*x/(x-1)^2 ogf] A008604 24.2025 [22*x/(11+(121+22*x)^(1/2))^2 revogf] A008604 8.40433 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=22} ogf] A008604 84.7087 [-2/(x-1) lgdogf] A008605 100.262 [-2/(x-1) lgdogf] A008605 13.5648 [-f(x)*x^2+2*f(x)*x-f(x)+23*x ogf] A008605 21.4181 [23*x/(x-1)^2 ogf] A008605 28.6462 [92*x/(23+(529+92*x)^(1/2))^2 revogf] A008605 9.92548 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=23} ogf] A008606 10.0214 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=24} ogf] A008606 101.245 [-2/(x-1) lgdogf] A008606 13.6959 [-f(x)*x^2+2*f(x)*x-f(x)+24*x ogf] A008606 21.6251 [24*x/(x-1)^2 ogf] A008606 33.7482 [6*x/(6+(36+6*x)^(1/2))^2 revogf] A008607 13.4965 [-f(x)*x^2+2*f(x)*x-f(x)+25*x ogf] A008607 21.3102 [25*x/(x-1)^2 ogf] A008607 33.2522 [4*x/(5+(25+4*x)^(1/2))^2 revogf] A008607 9.87546 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=25} ogf] A008607 99.7565 [-2/(x-1) lgdogf] A008609 4.50035 [-(x^12-2*x^11+4*x^10-4*x^9+2*x^8-2*x^7+x^6-x^5+2*x^4-2*x^3+x^2+1)/(3*x^3-1)/(x-1)^2 ogf] A008610 6.58859 [(x^3+x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A008610 8.42091 [-(1+4*x-x^4+5*x^6+8*x^5+12*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2-x+1) lgdogf] A008611 15.8931 [(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A008611 20.7882 [-2*x*(1+x^3-x^2+2*x)/(x-1)/(1+x+x^2)/(x^2-x+1) lgdogf] A008611 33.3372 [-x^5+2*x^2+x ogf_with_Euler_transform] A008611 5.94772 [{(-n-4)*a(n+1)-a(n+2)-a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A008611 8.28614 [-(11*f(x)+23)*(f(x)*x^4-f(x)*x^3-f(x)*x-x^2+f(x)+x-1) ogf] A008612 11.3986 [(x^4-x^2+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A008612 17.0480 [-x^11+x^2*(x^3+x+1) ogf_with_Euler_transform] A008612 9.22406 [-x^2*(x^2+x^4-x^3+7*x+3+x^5)/(x-1)/(x+1)/(1+x+x^2)/(x^4-x^2+1) lgdogf] A008613 4.50787 [-(x^8+x^7-x^5-x^4-x^3+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008614 5.52869 [-(x^12+x^11-x^9-x^8+x^6-x^4-x^3+x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008615 20.5958 [x^2/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A008615 24.2719 [-x*(2+5*x^2+5*x)/(x-1)/(x+1)/(1+x+x^2) lgdogf] A008615 36.9777 [[x^2+x] ogf_with_Euler_transform] A008615 9.75588 [f(x)*(f(x)*x^5-f(x)*x^3-f(x)*x^2-x^2+f(x)) ogf] A008616 16.4357 [-x*(2+7*x^3+7*x^4+2*x^2+2*x)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A008616 23.4751 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A008616 38.4152 [[x^4+x] ogf_with_Euler_transform] A008617 16.5768 [1/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A008617 23.3667 [x*(x^5+1) ogf_with_Euler_transform] A008617 8.65756 [-x*(2+2*x^3+9*x^5+2*x^4+2*x^2+2*x+9*x^6)/(x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008618 16.0783 [1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A008618 32.0615 [x^8+x ogf_with_Euler_transform] A008618 7.67375 [-x*(2+2*x^3+2*x^5+2*x^4+2*x^2+2*x+2*x^6+11*x^8+11*x^7)/(x-1)/(x+1)/(1+x+x^2)/(x^6+x^3+1) lgdogf] A008619 11.775 [-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1 ogf] A008619 24.5047 [1/(x+1)/(x-1)^2 ogf] A008619 43.0407 [[1+x] ogf_with_Euler_transform] A008619 44.4701 [-(3*x+1)/(x-1)/(x+1) lgdogf] A008619 8.09529 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A008620 22.3149 [1/(x^2+x+1)/(x-1)^2 ogf] A008620 32.0529 [-(1+x+4*x^2)/(x-1)/(1+x+x^2) lgdogf] A008620 36.4880 [[x^2+1] ogf_with_Euler_transform] A008620 7.37830 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A008620 9.63062 [-f(x)*(f(x)*x^4-f(x)*x^3-f(x)*x+f(x)-1) ogf] A008621 21.9287 [-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdogf] A008621 22.8934 [1/(x+1)/(x^2+1)/(x-1)^2 ogf] A008621 37.4407 [[x^3+1] ogf_with_Euler_transform] A008621 9.88033 [-f(x)*(f(x)*x^5-f(x)*x^4-f(x)*x+f(x)-1) ogf] A008622 11.5783 [-1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008622 28.3459 [x^6+x^5+x^3 ogf_with_Euler_transform] A008624 10.9492 [(x^2-x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A008624 11.7032 [-x*(2-3*x^3+3*x^4+5*x^2+x)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1) lgdogf] A008624 17.9844 [-x^5+x^3+x^2+x ogf_with_Euler_transform] A008625 8.01394 [-(x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008627 16.5958 [-x^11+x^5+x^3+x^2+x+1 ogf_with_Euler_transform] A008627 7.93997 [(x^4-x^2+1)/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A008627 8.14652 [-(1+4*x-2*x^4+5*x^6+6*x^3+6*x^2+4*x^7)/(x-1)/(x+1)/(1+x+x^2)/(x^4-x^2+1) lgdogf] A008628 14.1681 [-x^19+x^9+x^4+x^3+x^2+x+1 ogf_with_Euler_transform] A008628 5.54234 [-(x^8-x^6+x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A008634 24.6033 [(-1/x^11+1)*x^11/(x-1) ogf_with_Euler_transform] A008635 17.8824 [(-1/x^12+1)*x^12/(x-1) ogf_with_Euler_transform] A008636 14.9618 [x^6+x^5+x^4+x^3+x^2+x+1 ogf_with_Euler_transform] A008637 14.8921 [(x+1)*(x^2+1)*(x^4+1) ogf_with_Euler_transform] A008638 15.1827 [(x^2+x+1)*(x^6+x^3+1) ogf_with_Euler_transform] A008639 18.1638 [(-1/x^10+1)/(x-1)*x^10 ogf_with_Euler_transform] A008640 24.6033 [(-1/x^11+1)/(x-1)*x^11 ogf_with_Euler_transform] A008641 18.5199 [(-1/x^12+1)*x^12/(x-1) ogf_with_Euler_transform] A008642 11.1221 [-1/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008642 17.7405 [-(1+3*x+x^2+7*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A008642 26.3495 [[x^3+x+1] ogf_with_Euler_transform] A008643 25.2239 [x^7+x^3+x+1 ogf_with_Euler_transform] A008643 5.84543 [1/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A008643 9.07132 [-(1+3*x+x^2+7*x^3+x^4+3*x^5+x^6+15*x^7)/(x-1)/(x+1)/(1+x^2)/(x^4+1) lgdogf] A008644 23.5670 [x^15+x^7+x^3+x+1 ogf_with_Euler_transform] A008644 8.00662 [-(1+3*x+x^2+7*x^3+x^4+3*x^5+x^6+15*x^7+x^8+3*x^9+x^10+7*x^11+x^12+3*x^13+x^14+31*x^15)/(x-1)/(x+1)/(1+x^2)/(x^4+1)/(x^8+1) lgdogf] A008646 6.23634 [-(x^4-3*x^3+5*x^2-3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A008646 7.56838 [-(1+2*x+9*x^4+27*x^6-12*x^5+4*x^3+3*x^2-14*x^7+5*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A008647 15.8239 [-x^17+x^8+x^5+x^3 ogf_with_Euler_transform] A008647 7.58753 [-x^3*(4*x+2*x^3+10*x^2+4+x^7+x^8+2*x^4+x^6-x^5)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^6-x^3+1) lgdogf] A008647 9.66054 [(x^6-x^3+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A008648 22.5966 [x^24+x^4+1 ogf_with_Euler_transform] A008648 8.83670 [-1/(x^20+x^15+x^10+x^5+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008649 11.4674 [-1/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A008649 28.3726 [x^8+x^2+1 ogf_with_Euler_transform] A008649 9.55346 [-(1+x+4*x^2+x^3+x^4+4*x^5+x^6+x^7+13*x^8)/(x-1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A008651 5.78782 [(x^8+x^7-x^5-x^4-x^3+x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A008652 22.6098 [x^15+x^3+1 ogf_with_Euler_transform] A008652 5.88025 [-(1+x+x^2+5*x^3+x^4+x^5+x^6+5*x^7+x^8+x^9+x^10+5*x^11+x^12+x^13+x^14+21*x^15)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) lgdogf] A008652 8.84384 [-1/(x^4+1)/(x^8+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A008658 99.9999 Evaluated at exp(-Pi) 9/4*Pi^2/GAMMA(3/4)^8 A008659 99.9999 Evaluated at exp(-Pi) 27/8*Pi^3/GAMMA(3/4)^12 A008660 99.9999 Evaluated at exp(-Pi) 81/16*Pi^4/GAMMA(3/4)^16 A008661 99.9999 Evaluated at exp(-Pi) 243/32*Pi^5/GAMMA(3/4)^20 A008662 99.9999 Evaluated at exp(-Pi) 729/64*Pi^6/GAMMA(3/4)^24 A008666 13.8225 [x^8+x^5+x^4+x^2+x ogf_with_Euler_transform] A008667 16.4292 [1/24*x*(x^3+4*x^2+12*x+24) egf]_with_Euler_transform] A008667 7.89905 [-x*(2+32*x^3+49*x^5+46*x^4+18*x^2+7*x+44*x^6+14*x^8+28*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A008667 8.49137 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A008668 17.6703 [x^14+x^9+x^5+1 ogf_with_Euler_transform] A008669 11.8444 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A008669 22.6290 [[x^4+x^2+x+1] ogf_with_Euler_transform] A008669 9.16425 [-(1+5*x+23*x^4+23*x^6+27*x^5+18*x^3+12*x^2+11*x^7)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A008670 10.7115 [-(1+x+5*x^4+x^6+15*x^5+6*x^3+5*x^2+14*x^7)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A008670 24.0935 [x^5+x^3+x^2+1 ogf_with_Euler_transform] A008670 9.32204 [1/(x^2+1)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A008671 11.5468 [-1/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008671 27.5592 [x*(x^5+x+1) ogf_with_Euler_transform] A008671 8.40345 [-x*(2+12*x^3+19*x^5+12*x^4+12*x^2+7*x+26*x^6+12*x^8+24*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008672 11.5345 [-(1+2*x+11*x^4+9*x^6+10*x^5+6*x^3+6*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A008672 12.6141 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008672 26.2805 [[x^4+x^2+1] ogf_with_Euler_transform] A008673 16.8295 [x^6+x^4+x^2+1 ogf_with_Euler_transform] A008673 4.63647 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A008674 11.4024 [(-1/x^10+1)*x^10/(x+1)/(x-1) ogf_with_Euler_transform] A008675 16.2360 [(-1/x^12+1)*x^12/(x-1)/(x+1) ogf_with_Euler_transform] A008676 10.5514 [-x^2*(8*x^2+8*x^4+8*x^3+3*x+3)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A008676 16.4705 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A008676 23.2169 [[x^4+x^2] ogf_with_Euler_transform] A008677 20.2395 [x^6+x^4+x^2 ogf_with_Euler_transform] A008677 8.82032 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008678 15.9421 [x^8+x^6+x^4+x^2 ogf_with_Euler_transform] A008678 4.75517 [1/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A008679 14.1054 [-x^2*(7*x^2+7*x^3+7*x+3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A008679 18.6865 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A008679 26.3495 [[x^3+x^2] ogf_with_Euler_transform] A008680 12.1870 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A008680 27.2475 [x^4+x^3+x^2 ogf_with_Euler_transform] A008680 8.67112 [-x^2*(22*x^2+39*x^4+34*x^3+10*x+3+36*x^5+12*x^7+24*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A008681 12.4343 [1/120*x^2*(x^3+5*x^2+20*x+60) egf]_with_Euler_transform] A008681 4.72751 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A008681 5.18834 [-x^2*(15*x^2+33*x^4+28*x^3+7*x+18*x^8+3+18*x^9+43*x^5+36*x^7+39*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A008682 15.0447 [1/120*x^3*(x^2+5*x+20) egf]_with_Euler_transform] A008682 5.58270 [-x^3*(9*x+24*x^3+19*x^2+4+15*x^7+15*x^8+34*x^4+30*x^6+30*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A008682 8.74133 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008684 8.11042 [-(961*x^32-961*x^31-28*x^28+31)/(28*x^28-31)/(x-1)^2 ogf] A008706 11.5636 [(x^2+3*x+1)/(x-1)^2 ogf] A008706 11.6225 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+3*x+1 ogf] A008706 22.9864 [-5*(x+1)/(x-1)/(x^2+3*x+1) lgdogf] A008706 5.95021 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=10} ogf] A008710 2.11231 [(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008711 2.32858 [(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008712 2.40716 [-(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008713 2.69557 [-(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008714 2.91191 [-(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008715 3.13124 [-(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008716 2.51504 [(23460*f(x)+1258661)*(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008717 2.62891 [-(1939*f(x)+104030)*(f(x)*x^2-2*f(x)*x+f(x)+9*x-10)^2 ogf] A008718 15.0234 [-x^17+x^11+x^8+x^5+x^3+1 ogf_with_Euler_transform] A008718 6.14484 [(x^6-x^3+1)/(x^2-x+1)/(x^4-x^2+1)/(x+1)^2/(x^2+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A008719 17.1106 [x^11+x^5+x^3+1 ogf_with_Euler_transform] A008719 4.56780 [1/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A008719 5.84555 [-(1+x+x^2+5*x^3+x^4+7*x^5+x^6+5*x^7+x^8+x^9+x^10+23*x^11)/(x^2-x+1)/(1+x^2+x)/(x^2+1)/(x-1)/(x+1)/(x^4-x^2+1) lgdogf] A008720 11.3187 [-x*(4+9*x^3+9*x^4+4*x^2+4*x)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A008720 11.6603 [-1/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008720 26.4741 [[x^4+2*x] ogf_with_Euler_transform] A008721 11.3653 [-1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008721 22.6374 [x*(x^5+2) ogf_with_Euler_transform] A008721 8.18868 [-x*(4+4*x^3+11*x^5+4*x^4+4*x^2+4*x+11*x^6)/(x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008722 14.1608 [-1/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^3 ogf] A008722 42.3525 [x^8+2*x ogf_with_Euler_transform] A008722 7.47431 [-x*(4+4*x^3+4*x^5+4*x^4+4*x^2+4*x+4*x^6+13*x^8+13*x^7)/(x-1)/(x+1)/(1+x^2+x)/(x^6+x^3+1) lgdogf] A008723 10.1487 [-1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008723 29.4048 [x^10+2*x ogf_with_Euler_transform] A008723 5.35761 [-x*(4+4*x^3+4*x^5+4*x^4+4*x^2+15*x^9+4*x+15*x^10+4*x^6+4*x^8+4*x^7)/(x-1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008724 15.6751 [-2*(1+x+x^2+x^3+x^4+4*x^5)/(x-1)/(1+x^2+x)/(x+1)/(x^2-x+1) lgdogf] A008724 15.9501 [-x^4/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A008724 36.2337 [[x^5+2] ogf_with_Euler_transform] A008725 12.1456 [-(2+2*x+2*x^2+2*x^3+2*x^4+2*x^5+9*x^6)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008725 15.2052 [-1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008725 34.5313 [[x^6+2] ogf_with_Euler_transform] A008726 13.8995 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+5*x^7)/(x-1)/(x+1)/(x^2+1)/(1+x^4) lgdogf] A008726 15.1439 [-1/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A008726 34.9981 [[x^7+2] ogf_with_Euler_transform] A008727 10.7512 [-(2+2*x+2*x^2+2*x^3+2*x^4+2*x^5+2*x^6+2*x^7+11*x^8)/(x-1)/(1+x^2+x)/(x^6+x^3+1) lgdogf] A008727 14.6765 [-1/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A008727 41.0748 [x^8+2 ogf_with_Euler_transform] A008728 15.6701 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A008728 41.6286 [x^9+2 ogf_with_Euler_transform] A008728 9.56542 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+6*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A008729 14.4868 [-1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008729 39.3597 [x^10+2 ogf_with_Euler_transform] A008729 7.54487 [-(2+2*x+2*x^2+2*x^3+2*x^4+2*x^5+2*x^6+2*x^7+2*x^8+2*x^9+13*x^10)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008730 15.4473 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A008730 39.1714 [x^11+2 ogf_with_Euler_transform] A008730 8.15780 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+7*x^11)/(x^2-x+1)/(1+x^2+x)/(x^2+1)/(x-1)/(x+1)/(x^4-x^2+1) lgdogf] A008731 14.2465 [-1/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008731 16.9784 [-x*(4+7*x^2+7*x)/(x-1)/(1+x^2+x)/(x+1) lgdogf] A008731 32.3567 [[x^2+2*x] ogf_with_Euler_transform] A008732 11.9692 [-1/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008732 12.3760 [-(2+2*x+2*x^2+2*x^3+7*x^4)/(x-1)/(x^4+x^3+x^2+x+1) lgdogf] A008732 25.2402 [[x^4+2] ogf_with_Euler_transform] A008733 14.3146 [-x*(4-5*x^3+5*x^4+9*x^2-x)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A008733 21.9102 [-x^5+x^3+x^2+2*x ogf_with_Euler_transform] A008733 8.75217 [-(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008734 17.5157 [-x^9+x^7+x^4+2*x ogf_with_Euler_transform] A008734 5.63899 [-x*(4-3*x^3-3*x^5+7*x^4+8*x^2-7*x^9-4*x+7*x^10+15*x^6+11*x^8-11*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1)/(1+x^4) lgdogf] A008734 5.86424 [-(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A008735 5.05741 [-(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^3 ogf] A008736 16.6238 [-x^17+x^15+x^8+2*x ogf_with_Euler_transform] A008736 4.48966 [-(x^2-x+1)*(x^6-x^3+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x+1)^2/(x-1)^3 ogf] A008737 12.9651 [-2*(1+x^2+x^4+6*x^5)/(x-1)/(x+1)/(1+x^2+x)/(x^2-x+1) lgdogf] A008737 5.94608 [-x^6/(x+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A008738 10.9617 [-x^2*(x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008738 22.7165 [-x^5+x^4+x^2+2 ogf_with_Euler_transform] A008738 9.95114 [-(2+2*x+9*x^4+2*x^6+2*x^5+4*x^3+5*x^2+4*x^7)/(x-1)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A008739 11.1322 [-(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008739 21.8674 [-x^7+x^6+x^3+2 ogf_with_Euler_transform] A008739 5.81225 [-(2+2*x+4*x^4+11*x^6+4*x^5+6*x^3+5*x^10+2*x^2+2*x^7+2*x^9+2*x^8)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(1+x^4) lgdogf] A008740 16.7534 [-x^9+x^8+x^4+2 ogf_with_Euler_transform] A008740 8.31017 [-(x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A008742 11.9669 [-x^11+x*(x^4+x^2+x+1) ogf_with_Euler_transform] A008742 7.63749 [-(x^4-x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008742 9.10236 [-x*(2-x^3+3*x^5-x^4+7*x^2+5*x+3*x^6)/(x-1)/(x+1)/(1+x^2+x)/(x^4-x^2+1) lgdogf] A008743 7.54950 [-x*(2+4*x^3-2*x^5+10*x^4+8*x^2+3*x^9+2*x+3*x^10+2*x^6+5*x^8-x^7)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^6-x^3+1) lgdogf] A008743 7.92324 [-(x^6-x^3+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008747 10.0450 [-(1+4*x+5*x^4+3*x^6+4*x^5+10*x^3+7*x^2+2*x^7)/(x-1)/(x+1)/(1+x^2+x)/(x^4+1) lgdogf] A008747 11.3470 [-(x^4+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008747 20.1166 [-x^7+x^3+x^2+x+1 ogf_with_Euler_transform] A008748 14.3417 [-(1+2*x+3*x^4+x^6+2*x^2)/(x-1)/(1+x^2+x)/(x^4-x^3+x^2-x+1) lgdogf] A008748 20.5993 [-x^9+x^4+x^2+x+1 ogf_with_Euler_transform] A008748 9.11966 [-(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A008749 14.8506 [-x^11+x^5+x^2+x+1 ogf_with_Euler_transform] A008749 7.28154 [-(1+4*x+7*x^6+6*x^5+6*x^3+7*x^2+4*x^7+x^8)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^4-x^2+1) lgdogf] A008749 8.59088 [-(x^2+1)*(x^4-x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008750 14.8506 [-x^13+x^6+x^2+x+1 ogf_with_Euler_transform] A008750 5.75352 [-(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A008750 7.45914 [(-1-2*x+2*x^4-x^6-4*x^5-2*x^2-2*x^7+x^8)/(x-1)/(1+x^2+x)/(x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A008751 14.7589 [-x^15+x^7+x^2+x+1 ogf_with_Euler_transform] A008751 7.59723 [(-1-4*x-6*x^3+x^10-7*x^2+2*x^11-8*x^7-4*x^9-9*x^8)/(x-1)/(x+1)/(1+x^2+x)/(x^8+1) lgdogf] A008751 8.53785 [-(x^8+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008752 14.7589 [-x^17+x^8+x^2+x+1 ogf_with_Euler_transform] A008752 4.98610 [-(x^2-x+1)*(x^6-x^3+1)/(x^2+x+1)/(x-1)^3 ogf] A008752 6.53525 [(-1-2*x+2*x^4+6*x^6-4*x^5+3*x^10-2*x^2-8*x^7-4*x^9+x^8)/(x-1)/(1+x^2+x)/(x^2-x+1)/(x^6-x^3+1) lgdogf] A008753 14.7589 [-x^19+x^9+x^2+x+1 ogf_with_Euler_transform] A008753 5.73376 [(-1-4*x-6*x^3-11*x^10-7*x^2-4*x^11+3*x^12-10*x^9+4*x^13)/(x-1)/(x+1)/(1+x^2+x)/(x^2+1)/(x^8-x^6+x^4-x^2+1) lgdogf] A008753 8.42247 [-(x^2+1)*(x^8-x^6+x^4-x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008754 14.3261 [-x^21+x^10+x^2+x+1 ogf_with_Euler_transform] A008754 4.36192 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A008755 14.3261 [-x^23+x^11+x^2+x+1 ogf_with_Euler_transform] A008755 6.10007 [(-1-4*x-6*x^3-7*x^2-12*x^11-13*x^12+5*x^14-4*x^13+6*x^15)/(x-1)/(x+1)/(1+x^2+x)/(x^4+1)/(x^8-x^4+1) lgdogf] A008755 8.37016 [-(x^4+1)*(x^8-x^4+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008757 5.12851 [(-1-4*x-6*x^3-7*x^2+7*x^16+8*x^17-15*x^14-14*x^13-4*x^15)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^12-x^10+x^8-x^6+x^4-x^2+1) lgdogf] A008757 8.31785 [-(x^2+1)*(x^12-x^10+x^8-x^6+x^4-x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008759 6.90907 [(-1-4*x-6*x^3-7*x^2-17*x^16-4*x^17+9*x^18-16*x^15+10*x^19)/(x-1)/(x+1)/(1+x^2+x)/(x^16+1) lgdogf] A008759 8.51993 [-(x^16+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008761 5.39393 [(-1-4*x-6*x^3-7*x^2-18*x^17+11*x^20-19*x^18+12*x^21-4*x^19)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^4-x^2+1)/(x^12-x^6+1) lgdogf] A008761 8.51993 [-(x^2+1)*(x^4-x^2+1)*(x^12-x^6+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008762 20.6216 [x^3+x^2+2 ogf_with_Euler_transform] A008762 6.76171 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A008762 9.16793 [-(2+4*x+11*x^4+9*x^5+13*x^3+9*x^2)/(1+x^2+x)/(x^2+1)/(x-1)/(x+1) lgdogf] A008763 10.0838 [x^4/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A008763 20.4078 [-(1+6*x+8*x^3+9*x^2)/(1+x^2+x)/(x-1)/(x+1) lgdogf] A008763 34.1350 [x^2+2*x+1 ogf_with_Euler_transform] A008764 20.5293 [-x^5+x^3+2*x^2+x+1 ogf_with_Euler_transform] A008764 7.75839 [(x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A008764 9.87747 [-(1+3*x+8*x^4+x^6+10*x^5+10*x^3+8*x^2+7*x^7)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^2-x+1) lgdogf] A008765 14.7696 [-x^7+2*x^3+x^2+x+1 ogf_with_Euler_transform] A008765 6.06243 [-(1+4*x+16*x^4+8*x^6+18*x^5+18*x^3+8*x^2+10*x^7+6*x^9+7*x^8)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^4+1) lgdogf] A008765 7.42994 [(x^4+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A008766 12.2815 [-x^9+x^4+x^3+x^2+x+1 ogf_with_Euler_transform] A008766 4.84376 [(x^4-x^3+x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A008766 6.14931 [-(1+3*x+7*x^4+9*x^5+9*x^3+5*x^2+8*x^7+5*x^9+x^8)/(x-1)/(x+1)/(1+x^2+x)/(x^4-x^3+x^2-x+1)/(x^2+1) lgdogf] A008767 8.35875 [-x^7*(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A008767 9.09084 [-2*(1+x+x^4+8*x^6+x^5+x^3+x^2+7*x^7)/(x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A008768 16.5164 [-x^13+x^6+x^3+x^2+x+1 ogf_with_Euler_transform] A008768 5.88445 [(x^6-x^5+x^4-x^3+x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A008768 6.67010 [-(1+3*x+2*x^4-x^6+8*x^5+9*x^3+x^10+5*x^2+3*x^11+9*x^7+6*x^9+2*x^8)/(x-1)/(x+1)/(1+x^2+x)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+1) lgdogf] A008769 12.2608 [-x^15+x^7+x^3+x^2+x+1 ogf_with_Euler_transform] A008769 5.01210 [-(1+4*x+11*x^4+10*x^5+8*x^10+8*x^2+3*x^12+12*x^9+9*x^8+2*x^13+8*x^7+6*x^11+14*x^3)/(x-1)/(x+1)/(x^2+1)/(1+x^2+x)/(x^8+1) lgdogf] A008769 7.52048 [(x^8+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A008770 12.2608 [-x^17+x^8+x^3+x^2+x+1 ogf_with_Euler_transform] A008770 3.92789 [(x^2-x+1)*(x^6-x^3+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A008771 12.5620 [-x^19+x^9+x^3+x^2+x+1 ogf_with_Euler_transform] A008771 5.22088 [(x^8-x^6+x^4-x^2+1)/(x+1)^2/(x^2+x+1)/(x-1)^4 ogf] A008771 5.98457 [-(1+4*x-2*x^4-2*x^6-6*x^5+6*x^3+x^10+6*x^2+6*x^7+4*x^9+6*x^8)/(x-1)/(x+1)/(1+x^2+x)/(x^8-x^6+x^4-x^2+1) lgdogf] A008772 12.3157 [-x^21+x^10+x^3+x^2+x+1 ogf_with_Euler_transform] A008773 10.1390 [(x^4+1)*(x^8-x^4+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A008773 16.4252 [-x^23+x^11+x^3+x^2+x+1 ogf_with_Euler_transform] A008776 14.9949 [{a(n+1)-3*a(n),a(0)=2} ogf] A008776 19.0179 [-3*f(x)*x+f(x)-2 ogf] A008776 31.1894 [-2/(3*x-1) ogf] A008776 31.9336 [-1/3*ln(2)+1/3*ln(3*x+2) revegf] A008776 76.6406 [-3/(3*x-1) lgdogf] A008778 20.8221 [-(-5-x+2*x^2)/(x-1)/(x^2-x-1) lgdogf] A008778 6.32306 [(54*f(x)+515)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-x-1) ogf] A008778 8.96217 [-(x^2-x-1)/(x-1)^4 ogf] A008779 13.3355 [-(-7-6*x+2*x^3+6*x^2)/(x-1)/(x^3+x^2-2*x-1) lgdogf] A008779 4.60566 [{(n^2+n-6)*a(n+1)+(-3*n^2-21*n-72)*a(n+2)+(2*n^2+16*n+30)*a(n+3),a(0)=1,a(1)=7,a(2)=24} ogf] A008779 9.47601 [(x^3+x^2-2*x-1)/(x-1)^5 ogf] A008780 11.4280 [-(-11-19*x+6*x^3+18*x^2)/(x-1)/(2*x^3+3*x^2-5*x-1) lgdogf] A008780 6.09381 [-(2*x^3+3*x^2-5*x-1)/(x-1)^6 ogf] A008785 11.9917 [1/9*3^(2/3)*(ln(3)+ln(x+1/3))/(x+1/3)^(1/3) revegf] A008786 11.7106 [1/8*2^(1/2)*(2*ln(2)+ln(x+1/4))/(x+1/4)^(1/4) revegf] A008787 12.2987 [1/25*5^(4/5)*(ln(5)+ln(x+1/5))/(x+1/5)^(1/5) revegf] A008794 17.6041 [-(1+7*x+x^2+3*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A008794 23.2167 [[-x^3+3*x+1] ogf_with_Euler_transform] A008794 4.51187 [(112*f(x)+41)*(f(x)*x^5-f(x)*x^4-2*f(x)*x^3+x^4+2*f(x)*x^2+f(x)*x+x^2-f(x)) ogf] A008794 8.78934 [-x^2*(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008795 17.9301 [-3*x*(2+x^2-x)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A008795 22.5457 [-x^5+x^2+3*x ogf_with_Euler_transform] A008795 8.53531 [-(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A008796 14.6788 [-x*(x^6-x^2-x-2) ogf_with_Euler_transform] A008796 8.62088 [-(x^4+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008796 9.18246 [-x*(4+4*x^3+3*x^5+4*x^4+11*x^2+7*x+3*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^4+1) lgdogf] A008797 17.9199 [-x^9+x^4+x^3+2*x ogf_with_Euler_transform] A008797 6.11156 [-(x^4-x^3+x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008797 8.33141 [-x*(4-7*x^3-3*x^5+7*x^4+12*x^2-4*x+3*x^6)/(x-1)/(x+1)/(1+x^2)/(x^4-x^3+x^2-x+1) lgdogf] A008798 13.1636 [-x^11+x*(x^4+x^3+2) ogf_with_Euler_transform] A008798 5.63099 [-x*(4+9*x^3+6*x^5+15*x^4+4*x^2+3*x^9+4*x+3*x^10+4*x^6+4*x^8+4*x^7)/(x-1)/(x+1)/(1+x^2)/(1+x+x^4+x^3+x^2)/(x^4-x^2+1) lgdogf] A008798 8.58713 [-(x^2+1)*(x^4-x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008799 12.9837 [-x^13+x*(x^5+x^4+2) ogf_with_Euler_transform] A008799 5.14350 [-x*(4-8*x^3-11*x^5+18*x^4+8*x^2-3*x^9-4*x+3*x^10+11*x^6+7*x^8-7*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A008799 5.21686 [-(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A008800 15.5264 [-x^15+x^6*(x+1)+2*x ogf_with_Euler_transform] A008800 8.39710 [-(x^8+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A008801 15.8550 [-x^17+x^7*(x+1)+2*x ogf_with_Euler_transform] A008801 4.67634 [-(x^2-x+1)*(x^6-x^3+1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A008802 17.2034 [-x^19+x^9+x^8+2*x ogf_with_Euler_transform] A008802 8.20605 [-(x^2+1)*(x^8-x^6+x^4-x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^3 ogf] A008803 23.8379 [-x^21+x^10+x^9+2*x ogf_with_Euler_transform] A008803 5.75665 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A008804 12.9479 [1/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A008804 20.0523 [-2*(1+2*x+x^2+4*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A008804 28.8786 [[x^3+x+2] ogf_with_Euler_transform] A008805 15.5522 [-1/(x+1)^2/(x-1)^3 ogf] A008805 31.7183 [-(1+5*x)/(x-1)/(x+1) lgdogf] A008805 39.0828 [[1+2*x] ogf_with_Euler_transform] A008805 6.15126 [{(n+3)*a(n+3)-a(n+2)+(-6-n)*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A008806 11.6420 [-2*x*(2+3*x+2*x^2+2*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A008806 22.7775 [-x^5+2*x^2+2*x ogf_with_Euler_transform] A008806 8.62088 [-(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A008807 22.8335 [-x^9+2*x^4+2*x ogf_with_Euler_transform] A008807 6.10291 [-(x^4-x^3+x^2-x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008807 7.64189 [-2*x*(2+2*x^2+5*x^3+2*x^4+2*x^6+2*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A008808 21.8711 [-x^13+2*x^6+2*x ogf_with_Euler_transform] A008808 5.23029 [-(x^6-x^5+x^4-x^3+x^2-x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008808 5.64633 [-2*x*(2+2*x^2+2*x^4+7*x^5+2*x^6+2*x^8+2*x^10+2*x^12)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(1-x+x^2-x^3+x^4-x^5+x^6) lgdogf] A008809 22.2906 [-x^17+2*x^8+2*x ogf_with_Euler_transform] A008809 4.66300 [-(x^2-x+1)*(x^6-x^3+1)/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A008809 5.50387 [-2*x*(2+2*x^2+2*x^4+2*x^6+9*x^7+2*x^8+2*x^10+2*x^12+2*x^14+2*x^16)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) lgdogf] A008810 11.5199 [-(x^2-x+1)*(x+1)*x/(x^2+x+1)/(x-1)^3 ogf] A008810 14.2901 [-2*(1+x+4*x^2+x^3+x^4+x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A008810 28.8715 [-x^5+2*x^2+2 ogf_with_Euler_transform] A008811 10.2768 [-2*(x^3-x^2+x+1)*(x^4+2*x^3+2*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A008811 22.9602 [-x^7+2*x^3+2 ogf_with_Euler_transform] A008811 9.16977 [-x*(x^4+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A008812 22.1716 [-x^9+2*x^4+2 ogf_with_Euler_transform] A008812 7.01117 [-2*(1+x+x^2+x^3+6*x^4+x^5+x^6+x^7+x^8+x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A008812 8.85603 [-(x+1)*(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008813 22.3131 [-x^11+2*x^5+2 ogf_with_Euler_transform] A008813 6.31942 [-2*(1+x+x^2+x^3+x^4+7*x^5+x^6+x^7+x^8+x^9+x^10+x^11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A008813 9.21736 [-(x^2+1)*(x^4-x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A008814 22.0536 [-x^13+2*x^6+2 ogf_with_Euler_transform] A008814 5.15393 [-2*(1+x+x^2+x^3+x^4+x^5+8*x^6+x^7+x^8+x^9+x^10+x^11+x^12+x^13)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(1-x+x^2-x^3+x^4-x^5+x^6) lgdogf] A008814 9.11018 [-(x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008815 21.7942 [-x^15+2*x^7+2 ogf_with_Euler_transform] A008815 5.94047 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+9*x^7+x^8+x^9+x^10+x^11+x^12+x^13+x^14+x^15)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) lgdogf] A008815 8.88134 [-(x^8+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A008816 22.0377 [-x^17+2*x^8+2 ogf_with_Euler_transform] A008816 8.85972 [-(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A008817 21.7769 [-x^19+2*x^9+2 ogf_with_Euler_transform] A008817 8.52748 [-(x^2+1)*(x^8-x^6+x^4-x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A008818 8.15508 [-(x^3+x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A008818 9.94872 [-2*x*(2-x^3+2*x^5+3*x^4+5*x^2+x)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2-x+1) lgdogf] A008819 4.96407 [-(x^7-x^6+x^5+x^4-x^3+x^2-x+1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A008822 10.1319 [-2*(1+3*x+4*x^4+x^5+3*x^3+6*x^2)/(x-1)/(x^2+x+1)/(x^3+2*x^2+1) lgdogf] A008822 7.94212 [-(x^3+2*x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A008823 7.14417 [-2*(1+x+8*x^4+3*x^6+3*x^5+3*x^3+4*x^2+5*x^7+x^9+x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+2*x^3+1) lgdogf] A008823 8.12810 [-(x^5+2*x^3+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008824 8.22032 [-(x^3-x+1)*(x^4+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A008825 9.93713 [-(x^9+2*x^5+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A008838 12.9871 [-2*(1+x^2+x^4+x^6+8*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A008838 4.45107 [-x^8/(x+1)/(x^2+1)^2/(x^4+1)^2/(x-1)^3 ogf] A008843 4.19526 [(161703*f(x)-8537)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)+14*x+1) ogf] A008843 4.33747 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=49,a(2)=1681} ogf] A008843 7.99720 [-(x^2+14*x+1)/(x-1)/(x^2-34*x+1) ogf] A008843 8.21294 [-(49-68*x+x^4+28*x^3-522*x^2)/(x-1)/(x^2-34*x+1)/(x^2+14*x+1) lgdogf] A008844 10.4032 [-(x^2-10*x+1)/(x-1)/(x^2-34*x+1) ogf] A008844 5.45742 [(161703*f(x)-1814)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)-10*x+1) ogf] A008844 5.69063 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=25,a(2)=841} ogf] A008844 8.03536 [-(25-68*x+x^4-20*x^3+318*x^2)/(x-1)/(x^2-10*x+1)/(x^2-34*x+1) lgdogf] A008845 14.1070 [-48*x/(x-1)/(x^2-34*x+1) ogf] A008845 14.3140 [-(35-70*x+3*x^2)/(x^2-34*x+1)/(x-1) lgdogf] A008845 5.78750 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=48,a(2)=1680} ogf] A008845 8.46422 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+48*x ogf] A008851 14.9156 [x*(4*x+1)/(x+1)/(x-1)^2 ogf] A008851 24.6414 [-(5+7*x+8*x^2)/(x-1)/(4*x+1)/(x+1) lgdogf] A008851 7.65936 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A008851 7.729 [(85*f(x)+703)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-x) ogf] A008852 10.6036 [x*(24*x^3+51*x^2+24*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A008852 8.53914 [-(25+127*x+171*x^4+48*x^6+177*x^5+104*x^3+148*x^2)/(x-1)/(x+1)/(x^2+1)/(24*x^3+51*x^2+24*x+1) lgdogf] A008853 7.24330 [-2*(188+437*x+1062*x^4+375*x^6+561*x^5+502*x^3+875*x^2)/(x-1)/(x+1)/(x^2+1)/(375*x^3+249*x^2+375*x+1) lgdogf] A008853 9.40144 [x*(375*x^3+249*x^2+375*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A008854 12.8912 [x*(x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A008854 15.2845 [-2*(2+3*x+x^4+5*x^3+4*x^2)/(x-1)/(x+x^2+1)/(x^2+3*x+1) lgdogf] A008854 5.14067 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=5} ogf] A008854 9.01001 [f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-x ogf] A008856 6.99762 [x*(x^8+23*x^7+x^6+24*x^5+2*x^4+24*x^3+x^2+23*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A008857 8.11238 [-x^9*(x+1)/(x^2+x+1)^2/(x^6+x^3+1)^2/(x-1)^3 ogf] A008857 8.58098 [-2*(1+x+x^4+x^6+x^5+x^3+x^2+x^7+9*x^9+10*x^8)/(x-1)/(x+1)/(x+x^2+1)/(x^6+x^3+1) lgdogf] A008859 5.44366 [-(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1)/(x-1)^7 ogf] A008859 9.07515 [-(2-8*x+12*x^4+x^6-16*x^3+16*x^2)/(x-1)/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) lgdogf] A008860 4.98250 [(2*x^2-2*x+1)*(2*x^4-4*x^3+6*x^2-4*x+1)/(x-1)^8 ogf] A008860 7.78981 [-2*(1-5*x+14*x^4+4*x^6-6*x^5-16*x^3+12*x^2)/(x-1)/(2*x^2-2*x+1)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A008861 4.16940 [-(x^2-x+1)*(x^6-3*x^5+12*x^4-19*x^3+15*x^2-6*x+1)/(x-1)^9 ogf] A008861 6.74459 [-(2-12*x+60*x^4+20*x^6-40*x^5-56*x^3+34*x^2+x^8)/(x-1)/(x^2-x+1)/(x^6-3*x^5+12*x^4-19*x^3+15*x^2-6*x+1) lgdogf] A008862 3.90554 [(x^4-2*x^3+4*x^2-3*x+1)*(5*x^4-10*x^3+10*x^2-5*x+1)/(x-1)^10 ogf] A008862 6.14073 [-2*(1-7*x+58*x^4+30*x^6-50*x^5-45*x^3+23*x^2-10*x^7+5*x^8)/(x-1)/(x^4-2*x^3+4*x^2-3*x+1)/(5*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A008863 3.62059 [-(x^10-5*x^9+25*x^8-70*x^7+130*x^6-166*x^5+148*x^4-91*x^3+37*x^2-9*x+1)/(x-1)^11 ogf] A008865 13.4035 [(2*x^2-5*x+1)/(x-1)^3 ogf] A008865 23.0250 [-2*(-1-3*x+x^2)/(x-1)/(2*x^2-5*x+1) lgdogf] A008865 7.04839 [(268*f(x)-1097)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+5*x-1) ogf] A008865 7.30011 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=2,a(2)=7} ogf] A008893 19.8735 [-3*(11+20*x+4*x^2)/(x-1)/(4*x^2+13*x+4) lgdogf] A008893 3.88976 [{(12+4*n)*a(n+4)+(-15+9*n)*a(n+3)+(-69-9*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=8,a(2)=66,a(3)=258} ogf] A008893 9.35395 [-2*x*(4*x^2+13*x+4)/(x-1)^5 ogf] A008894 4.62571 [(23*x^13+46*x^12-x^11+31*x^10-x^9-2*x^8-47*x^7-x^6-2*x^5-13*x^4-26*x^3-9*x^2-18*x-36)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A008909 4.20436 [-f(x)^2*x^4+2*f(x)^2*x^3+2*f(x)*x^4-f(x)^2*x^2-3*f(x)*x^3-x^4+3*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+2*x-1 ogf] A008911 33.7304 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A008911 35.4214 [[6-x] ogf_with_Euler_transform] A008911 5.67685 [{(n+1)*a(n+3)-6*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A008911 9.48537 [-2*(x+1)*x^2/(x-1)^5 ogf] A008921 3.62327 [-(x+1)*(x^6+624*x^5+1959*x^4+1744*x^3+519*x^2+48*x+1)/(x-1)^7 ogf] A008922 3.53538 [(x+1)*(x^6+624*x^5+1959*x^4+1744*x^3+519*x^2+48*x+1)/(x-1)^8 ogf] A008931 13.3384 [-3+(1-36*x)*f(x)+(3*x-108*x^2)*f(x)^2 lgdogf] A008931 5.21621 [{(-108*n^2-306*n-210)*a(n+1)+(3*n^2+13*n+14)*a(n+2),a(0)=1,a(1)=3} ogf] A008936 11.1443 [-(x^4+2*x-1)/(2*x-1)^2 ogf] A008936 15.0761 [2*(1-2*x+2*x^4-2*x^3)/(2*x-1)/(x^4+2*x-1) lgdogf] A008936 4.65076 [{-a(n+5)+4*a(n+4)-4*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=15} ogf] A008936 8.37373 [-(2*f(x)-17)*(x^4+4*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A008937 13.3015 [f(x)*x^4-2*f(x)*x+f(x)-x ogf] A008937 23.4558 [-2*(-1+2*x^3)/(x-1)/(x^3+x^2+x-1) lgdogf] A008937 23.7815 [x/(x-1)/(x^3+x^2+x-1) ogf] A008954 6.90775 [-x*(x^12+3*x^11+6*x^10+5*x^8+5*x^6+5*x^4+6*x^2+3*x+1)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A008959 6.72092 [-x*(x^8+4*x^7+9*x^6+6*x^5+5*x^4+6*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A008960 7.24924 [-x*(9*x^8+2*x^7+3*x^6+6*x^5+5*x^4+4*x^3+7*x^2+8*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A008977 3.24085 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=24} ogf] A008998 23.1049 [-1/(x^3+2*x-1) ogf] A008998 32.5478 [-(2+3*x^2)/(-1+2*x+x^3) lgdogf] A008998 8.11131 [{-a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A008998 9.41311 [(f(x)-1)*(f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A008999 11.2675 [-a(n+4)+2*a(n+3)+a(n),a(0)=2,a(1)=4,a(2)=8,a(3)=20 lgdogf] A008999 18.1630 [-1/(x^4+2*x-1) ogf] A008999 7.05151 [-(f(x)-1)*(f(x)*x^4+2*f(x)*x-f(x)+1) ogf] A009001 14.5966 [-(x^3-x^2-x-1)/(x^2+1)^2 ogf] A009001 26.6200 [-(x^2-4*x+1)*(x+1)^2/(x^2+1)/(x^3-x^2-x-1) lgdogf] A009001 9.39382 [(f(x)-3)*(f(x)*x^4+2*f(x)*x^2+x^3-x^2+f(x)-x-1) ogf] A009005 10.0276 [(2*f(x)+19)*(f(x)*x^2-2*f(x)*x+x^2+f(x)+x-3) ogf] A009005 17.7847 [-(x^2+x-3)/(x-1)^2 ogf] A009005 37.0150 [-(-5+3*x)/(x-1)/(x^2+x-3) lgdogf] A009005 9.24109 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=5,a(2)=6} ogf] A009014 12.2885 [2*(x+1)/(x^2+2*x+2) egf] A009014 22.6130 [-x*(x+2)/(x+1)/(x^2+2*x+2) lgdegf] A009014 8.77748 [f(x)*x^2+2*f(x)*x+2*f(x)-2*x-2 egf] A009056 11.2255 [(f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)+2*x-3) ogf] A009056 11.6362 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=4} ogf] A009056 21.2037 [-(2*x-3)/(x-1)^2 ogf] A009056 28.3908 [-1/2*(-3-2*x+(9+4*x)^(1/2))/(2+x) revogf] A009056 42.5862 [-2*(x-2)/(x-1)/(2*x-3) lgdogf] A009102 3.49006 [{(n+2)*a(n+1)+a(n+2)+(n+4)*a(n+3)+a(n+4),a(0)=1,a(1)=-1,a(2)=1,a(3)=-3} ogf] A009116 10.6949 [2*f(x)*x^2+2*f(x)*x+f(x)-x-1 ogf] A009116 14.9729 [(x+1)/(2*x^2+2*x+1) ogf] A009116 22.5041 [-(1+4*x+2*x^2)/(x+1)/(2*x^2+2*x+1) lgdogf] A009116 8.21682 [{-a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-1} ogf] A009117 10.4078 [{-a(n+2)-4*a(n+1),a(0)=1,a(1)=-2} ogf] A009117 16.6525 [4*f(x)*x+f(x)-2*x-1 ogf] A009117 20.2531 [(2*x+1)/(4*x+1) ogf] A009117 28.8402 [-1/4+x+1/4*(1+16*x^2)^(1/2) revogf] A009117 43.2603 [-2/(2*x+1)/(4*x+1) lgdogf] A009120 3.80843 [{(64*n^2+192*n+140)*a(n+1)-a(n+2),a(0)=1,a(1)=12} ogf] A009132 16.7449 [-(2+2*x+x^3+2*x^2)/(x+1)/(x^2+2*x+2) lgdegf] A009132 3.43852 [{(n^2+4*n+4)*a(n+1)+(n^2+4*n+2)*a(n+2)+a(n+3)*n,a(0)=1,a(1)=-1,a(2)=2,a(3)=-7} ogf] A009179 3.58288 [{(n+2)*a(n+1)+a(n+2)+(-n-4)*a(n+3)-a(n+4),a(0)=1,a(1)=-1,a(2)=3,a(3)=-9} ogf] A009189 41.1160 [-sin(x)*x+cos(x) lgdegf] A009198 17.4927 [-1/(x+1)*exp(-x)*(ln(x+1)*x+ln(x+1)-1) lgdegf] A009199 38.1456 [2/(x+1)*ln(x+1) lgdegf] A009200 33.4863 [cos(ln(x+1))/(x+1) lgdegf] A009206 112.404 [cos(x) lgdegf] A009209 13.5065 [-a(n)+(-2-3*n-n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=-1/2 lgdegf] A009210 12.6034 [4*a(n+1)+(5*n+6+n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=-2 lgdegf] A009212 28.2194 [exp(x)*(sin(x)+cos(x)) lgdegf] A009216 27.1458 [-exp(-x)*(sin(x)-cos(x)) lgdegf] A009218 15.6179 [(2+2*x+x^2)*f(x)+(-2-4*x-2*x^2)*f(x)^2 lgdegf] A009224 12.3706 [a(n+1)+(-5*n-6-n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=1/2 lgdegf] A009227 12.2345 [-a(n)+(2+3*n+n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=1/2 lgdegf] A009229 11.0914 [4*a(n+1)+(-5*n-6-n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=2 lgdegf] A009235 17.2756 [(-n-2)*a(n+2)-2*a(n+1),a(0)=1,a(1)=-2 lgdegf] A009257 29.4139 [4*(x+1)/(x^2+2*x+2)^2 lgdegf] A009281 15.8315 [(2+6*x+x^3+4*x^2)/(x+1)/(x^2+2*x+2) lgdegf] A009282 15.4030 [a(n)+(2+3*n+n^2)*a(n+2),a(0)=2,a(1)=0,a(2)=-1/2 lgdegf] A009283 15.2266 [-a(n)+(2+3*n+n^2)*a(n+2),a(0)=2,a(1)=0,a(2)=1/2 lgdegf] A009294 17.2004 [(2+2*x+x^3+2*x^2)/(x+1)/(x^2+2*x+2) lgdegf] A009440 9.58209 [2*(53-114750*x^16+54000*x^17+61200*x^15)/(x-1)/(7200*x^17-7650*x^16+45*x^2-90*x-8) lgdogf] A009440 9.64442 [-2*(7200*x^17-7650*x^16+45*x^2-90*x-8)/(x-1)^2 ogf] A009441 9.11620 [2*(107-175500*x^14+94500*x^13+81900*x^15)/(x-1)/(12600*x^15-13500*x^14+90*x^2-180*x-17) lgdogf] A009441 9.73331 [-(12600*x^15-13500*x^14+90*x^2-180*x-17)/(x-1)^2 ogf] A009445 7.38414 [{(4*n^2+18*n+20)*a(n+1)-a(n+2),a(0)=1,a(1)=6} ogf] A009454 3.73548 [{(-n^2-2*n-2)*a(n+1)+(-2*n-3)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=-1} ogf] A009470 10.4461 [4*(3+1950*x^11-3575*x^12+1650*x^13)/(x-1)/(600*x^13-650*x^12+5*x^2-10*x-1) lgdogf] A009470 9.48994 [-18*(600*x^13-650*x^12+5*x^2-10*x-1)/(x-1)^2 ogf] A009474 9.03110 [2*(109+59400*x^10-108000*x^11+49500*x^12)/(x-1)/(9900*x^12-10800*x^11+90*x^2-180*x-19) lgdogf] A009474 9.65035 [-(9900*x^12-10800*x^11+90*x^2-180*x-19)/(x-1)^2 ogf] A009531 14.4080 [x*(x+1)^2/(x^2+1)^2 ogf] A009531 30.2209 [[2*x^3-4*x+2] ogf_with_Euler_transform] A009531 35.9133 [-2*(-1+2*x+x^2)/(x+1)/(1+x^2) lgdogf] A009531 4.69995 [{(n+3)*a(n+4)+n*a(n+3)+(5+n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=-1} ogf] A009531 8.61657 [-(4*f(x)-11)*(f(x)*x^4+2*f(x)*x^2-x^3-2*x^2+f(x)-x) ogf] A009545 10.4363 [{a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A009545 14.3278 [-2*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A009545 25.6165 [x/(2*x^2-2*x+1) ogf] A009545 39.6460 [-2*(2*x-1)/(2*x^2+1-2*x) lgdogf] A009551 3.54883 [{(n+2)*a(n+1)-a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A009564 6.33693 [{(64*n^2+256*n+252)*a(n+1)+a(n+2),a(0)=1,a(1)=-60} ogf] A009574 24.2238 [(1+3*x+x^2)/(x+2)/(x+1) lgdegf] A009574 3.26594 [{(-n^2-6*n-8)*a(n+1)+(n^2+4*n+2)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A009578 25.1173 [-(3+3*x+x^2)/(x+2)/(x+1) lgdegf] A009628 4.02025 [{(n+2)*a(n+1)+a(n+2)+(-n-4)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=-2,a(3)=7} ogf] A009759 4.68955 [(6751368*f(x)-3883465)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-4*x^2-f(x)+21*x-3) ogf] A009759 5.19199 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=-3,a(1)=0,a(2)=17} ogf] A009759 9.37908 [(4*x^2-21*x+3)/(x-1)/(x^2-6*x+1) ogf] A009759 9.43302 [-2*x*(-17+2*x^3-21*x^2+64*x)/(x-1)/(1-6*x+x^2)/(4*x^2-21*x+3) lgdogf] A009769 12.5702 [(2*x+1)/(2*x^2+2*x+1) egf] A009769 18.6428 [-4*(x+1)*x/(2*x+1)/(2*x^2+2*x+1) lgdegf] A009769 8.97874 [2*f(x)*x^2+2*f(x)*x+f(x)-2*x-1 egf] A009775 12.0872 [x*(x+2)/(x^2+2*x+2) egf] A009775 21.0300 [-(2+4*x+x^2)/(x+2)/(x^2+2*x+2) lgdegf] A009775 8.8399 [f(x)*x^2+2*f(x)*x-x^2+2*f(x)-2*x egf] A009778 17.2900 [(2+2*x+x^3+3*x^2)/(x+2)/(x^2+2*x+2) lgdegf] A009782 16.3997 [-(x+1)*(x^2+4*x+6)/(x+2)/(x^2+2*x+2) lgdegf] A009866 5.57329 [-(x^4+x^3+x^2+x+1)*(x^6+x^5+2*x^4-x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A009923 5.36961 [-(6*x^9-5*x^8+8*x^7+29*x^6+82*x^5+88*x^4+68*x^3+35*x^2+8*x+1)/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A009924 6.26060 [-2*(5+29*x+174*x^4+85*x^6+154*x^5+146*x^3+89*x^2+33*x^7+5*x^8)/(x-1)/(x^2+x+1)/(x^3+4*x^2+2*x+1)/(x^4+5*x^3+6*x^2+7*x+1) lgdogf] A009924 6.33241 [-(x^3+4*x^2+2*x+1)*(x^4+5*x^3+6*x^2+7*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A009925 7.92528 [-(x^6+4*x^5+19*x^4+12*x^3+19*x^2+4*x+1)/(x-1)^3/(x+1)^3 ogf] A009925 8.26823 [-4*(1+11*x+14*x^4+x^6+11*x^5+38*x^3+14*x^2)/(x-1)/(x+1)/(x^6+4*x^5+19*x^4+12*x^3+19*x^2+4*x+1) lgdogf] A009926 7.88522 [-(x^6+8*x^5+9*x^4+24*x^3+9*x^2+8*x+1)/(x-1)^3/(x+1)^3 ogf] A009926 8.51152 [-8*(1+3*x+14*x^4+x^6+3*x^5+9*x^3+14*x^2)/(x-1)/(x+1)/(x^6+8*x^5+9*x^4+24*x^3+9*x^2+8*x+1) lgdogf] A009928 3.93996 [-(4*x^13-4*x^12-11*x^10+33*x^9+57*x^8+124*x^7+146*x^6+150*x^5+122*x^4+76*x^3+37*x^2+13*x+1)/(x+1)/(x^2+x+1)/(x^2+1)^2/(x-1)^3 ogf] A009940 28.1618 [-x+(-1+2*x-x^2)*f(x) lgdegf] A009940 3.88662 [{(n^2+4*n+4)*a(n+1)+(-2*n-4)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=-1} ogf] A009941 5.81890 [-(11+94*x+610*x^4+272*x^6+506*x^5+506*x^3+272*x^2+94*x^7+11*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^6+10*x^5+35*x^4+40*x^3+35*x^2+10*x+1) lgdogf] A009941 6.61276 [-(x^6+10*x^5+35*x^4+40*x^3+35*x^2+10*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A009942 5.84814 [-2*(7+44*x+302*x^4+142*x^6+250*x^5+250*x^3+142*x^2+44*x^7+7*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^6+13*x^5+29*x^4+46*x^3+29*x^2+13*x+1) lgdogf] A009942 6.64533 [-(x^6+13*x^5+29*x^4+46*x^3+29*x^2+13*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A009943 8.47351 [2*(-3-18*x-5*x^4+x^6-2*x^5-12*x^3-33*x^2)/(x-1)/(x+1)/(2*x^5-5*x^4+10*x^3+12*x^2+4*x+1) lgdogf] A009943 8.64644 [-(2*x^5-5*x^4+10*x^3+12*x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A009945 6.92744 [-2*(3+12*x+46*x^4+30*x^6+40*x^5+40*x^3+30*x^2+12*x^7+3*x^8)/(x-1)/(x+1)/(x^2+1)/(x^3+3*x^2+x+1)/(x^3+x^2+3*x+1) lgdogf] A009945 7.12884 [-(x^3+3*x^2+x+1)*(x^3+x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A009946 10.1841 [-(x^4+4*x^3+8*x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A009946 11.4768 [-2*(3+14*x+3*x^4+14*x^3+20*x^2)/(x-1)/(x+1)/(x^4+4*x^3+8*x^2+4*x+1) lgdogf] A009946 5.85203 [-(20*f(x)+119)*(f(x)*x^4-2*f(x)*x^3+x^4+4*x^3+2*f(x)*x+8*x^2-f(x)+4*x+1) ogf] A009947 11.1159 [x^2*(x^3+x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A009947 11.4821 [-(x+1)*(3*x^4+x^3+9*x^2+2)/(x-1)/(x^2+x+1)/(x^3+x^2+2*x+1) lgdogf] A009948 6.15834 [-4*(3+15*x+56*x^4+33*x^6+47*x^5+47*x^3+33*x^2+15*x^7+3*x^8)/(x-1)/(x+1)/(x^2+1)/(x^6+10*x^5+19*x^4+24*x^3+19*x^2+10*x+1) lgdogf] A009948 6.61276 [-(x^6+10*x^5+19*x^4+24*x^3+19*x^2+10*x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A009955 5.31890 [-(x^8+7*x^7+20*x^6+41*x^5+50*x^4+41*x^3+20*x^2+7*x+1)/(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A009956 4.53701 [-(x^12+x^11-4*x^10+5*x^9+20*x^8+35*x^7+65*x^6+60*x^5+50*x^4+33*x^3+17*x^2+4*x+1)/(x^2+1)^2/(x-1)^3/(x+1)^3 ogf] A009957 7.84172 [-(x^6+6*x^5+17*x^4+26*x^3+15*x^2+6*x+1)/(x-1)^3/(x+1)^3 ogf] A009957 8.00985 [-2*(3+18*x+54*x^4+3*x^6+20*x^5+64*x^3+54*x^2)/(x-1)/(x+1)/(x^6+6*x^5+17*x^4+26*x^3+15*x^2+6*x+1) lgdogf] A009964 12.1466 [-20*f(x)*x+f(x)-1 ogf] A009964 23.1890 [-1/(20*x-1) ogf] A009964 33.2711 [1/20*ln(1+20*x) revegf] A009964 38.3897 [-20/(-1+20*x) lgdogf] A009964 9.62560 [{a(n+1)-20*a(n),a(0)=1} ogf] A009965 17.9225 [{a(n+1)-21*a(n),a(0)=1} ogf] A009965 22.6165 [-21*f(x)*x+f(x)-1 ogf] A009965 43.1768 [-1/(21*x-1) ogf] A009965 62.5141 [1/21*ln(1+21*x) revegf] A009965 72.1317 [-21/(-1+21*x) lgdogf] A009966 18.2671 [{a(n+1)-22*a(n),a(0)=1} ogf] A009966 23.0514 [-22*f(x)*x+f(x)-1 ogf] A009966 44.0071 [-1/(22*x-1) ogf] A009966 63.7320 [1/22*ln(1+22*x) revegf] A009966 73.5369 [-22/(-1+22*x) lgdogf] A009967 18.4395 [{a(n+1)-23*a(n),a(0)=1} ogf] A009967 23.2688 [-23*f(x)*x+f(x)-1 ogf] A009967 44.4223 [-1/(23*x-1) ogf] A009967 64.3409 [1/23*ln(1+23*x) revegf] A009967 74.2394 [-23/(-1+23*x) lgdogf] A009968 18.6692 [{a(n+1)-24*a(n),a(0)=1} ogf] A009968 23.5588 [-24*f(x)*x+f(x)-1 ogf] A009968 44.9759 [-1/(24*x-1) ogf] A009968 65.1527 [1/24*ln(1+24*x) revegf] A009968 75.1762 [-24/(-1+24*x) lgdogf] A009969 18.7841 [{a(n+1)-25*a(n),a(0)=1} ogf] A009969 23.7038 [-25*f(x)*x+f(x)-1 ogf] A009969 45.2526 [-1/(25*x-1) ogf] A009969 65.5587 [1/25*ln(1+25*x) revegf] A009969 75.6446 [-25/(-1+25*x) lgdogf] A009970 19.0713 [{a(n+1)-26*a(n),a(0)=1} ogf] A009970 24.0662 [-26*f(x)*x+f(x)-1 ogf] A009970 45.9445 [-1/(26*x-1) ogf] A009970 66.5735 [1/26*ln(1+26*x) revegf] A009970 76.8156 [-26/(-1+26*x) lgdogf] A009971 10.4626 [{a(n+1)-27*a(n),a(0)=1} ogf] A009971 13.2028 [-27*f(x)*x+f(x)-1 ogf] A009971 25.2054 [-1/(27*x-1) ogf] A009971 36.2285 [1/27*ln(1+27*x) revegf] A009971 41.8021 [-27/(-1+27*x) lgdogf] A009972 10.5149 [{a(n+1)-28*a(n),a(0)=1} ogf] A009972 13.2688 [-28*f(x)*x+f(x)-1 ogf] A009972 25.3314 [-1/(28*x-1) ogf] A009972 36.4133 [1/28*ln(1+28*x) revegf] A009972 42.0154 [-28/(-1+28*x) lgdogf] A009973 10.6195 [{a(n+1)-29*a(n),a(0)=1} ogf] A009973 13.4008 [-29*f(x)*x+f(x)-1 ogf] A009973 25.5835 [-1/(29*x-1) ogf] A009973 36.7830 [1/29*ln(1+29*x) revegf] A009973 42.4420 [-29/(-1+29*x) lgdogf] A009974 10.6718 [{a(n+1)-30*a(n),a(0)=1} ogf] A009974 13.4669 [-30*f(x)*x+f(x)-1 ogf] A009974 25.7095 [-1/(30*x-1) ogf] A009974 36.9679 [1/30*ln(1+30*x) revegf] A009974 42.6552 [-30/(-1+30*x) lgdogf] A009975 10.6718 [{a(n+1)-31*a(n),a(0)=1} ogf] A009975 15.4478 [-31*f(x)*x+f(x)-1 ogf] A009975 25.7095 [-1/(31*x-1) ogf] A009975 36.9679 [1/31*ln(1+31*x) revegf] A009975 42.6552 [-31/(-1+31*x) lgdogf] A009976 12.0573 [-32*f(x)*x+f(x)-1 ogf] A009976 23.0184 [-1/(32*x-1) ogf] A009976 33.0382 [1/32*ln(1+32*x) revegf] A009976 38.1210 [-32/(-1+32*x) lgdogf] A009976 9.55481 [{a(n+1)-32*a(n),a(0)=1} ogf] A009977 12.0573 [-33*f(x)*x+f(x)-1 ogf] A009977 23.0184 [-1/(33*x-1) ogf] A009977 33.0382 [1/33*ln(1+33*x) revegf] A009977 38.1210 [-33/(-1+33*x) lgdogf] A009977 9.55481 [{a(n+1)-33*a(n),a(0)=1} ogf] A009978 12.0573 [-34*f(x)*x+f(x)-1 ogf] A009978 23.0184 [-1/(34*x-1) ogf] A009978 33.0382 [1/34*ln(1+34*x) revegf] A009978 38.1210 [-34/(-1+34*x) lgdogf] A009978 9.55481 [{a(n+1)-34*a(n),a(0)=1} ogf] A009979 12.1217 [-35*f(x)*x+f(x)-1 ogf] A009979 23.1415 [-1/(35*x-1) ogf] A009979 33.2187 [1/35*ln(1+35*x) revegf] A009979 38.3293 [-35/(-1+35*x) lgdogf] A009979 9.60591 [{a(n+1)-35*a(n),a(0)=1} ogf] A009980 12.2507 [-36*f(x)*x+f(x)-1 ogf] A009980 23.3877 [-1/(36*x-1) ogf] A009980 33.5798 [1/36*ln(1+36*x) revegf] A009980 38.7459 [-36/(-1+36*x) lgdogf] A009980 9.70811 [{a(n+1)-36*a(n),a(0)=1} ogf] A009981 12.2507 [-37*f(x)*x+f(x)-1 ogf] A009981 23.3877 [-1/(37*x-1) ogf] A009981 33.5798 [1/37*ln(1+37*x) revegf] A009981 38.7459 [-37/(-1+37*x) lgdogf] A009981 9.70811 [{a(n+1)-37*a(n),a(0)=1} ogf] A009982 11.3519 [{a(n+1)-38*a(n),a(0)=1} ogf] A009982 14.325 [-38*f(x)*x+f(x)-1 ogf] A009982 27.3478 [-1/(38*x-1) ogf] A009982 33.9409 [1/38*ln(1+38*x) revegf] A009982 39.1626 [-38/(-1+38*x) lgdogf] A009983 12.4441 [-39*f(x)*x+f(x)-1 ogf] A009983 23.7570 [-1/(39*x-1) ogf] A009983 34.1214 [1/39*ln(1+39*x) revegf] A009983 39.3709 [-39/(-1+39*x) lgdogf] A009983 9.86140 [{a(n+1)-39*a(n),a(0)=1} ogf] A009984 12.5731 [-40*f(x)*x+f(x)-1 ogf] A009984 24.0032 [-1/(40*x-1) ogf] A009984 34.4825 [1/40*ln(1+40*x) revegf] A009984 39.7875 [-40/(-1+40*x) lgdogf] A009984 9.96358 [{a(n+1)-40*a(n),a(0)=1} ogf] A009985 12.5731 [-41*f(x)*x+f(x)-1 ogf] A009985 24.0032 [-1/(41*x-1) ogf] A009985 34.4825 [1/41*ln(1+41*x) revegf] A009985 39.7875 [-41/(-1+41*x) lgdogf] A009985 9.96358 [{a(n+1)-41*a(n),a(0)=1} ogf] A009986 10.0147 [{a(n+1)-42*a(n),a(0)=1} ogf] A009986 12.6376 [-42*f(x)*x+f(x)-1 ogf] A009986 24.1263 [-1/(42*x-1) ogf] A009986 34.6630 [1/42*ln(1+42*x) revegf] A009986 39.9958 [-42/(-1+42*x) lgdogf] A009987 10.0658 [{a(n+1)-43*a(n),a(0)=1} ogf] A009987 12.702 [-43*f(x)*x+f(x)-1 ogf] A009987 24.2494 [-1/(43*x-1) ogf] A009987 34.8436 [1/43*ln(1+43*x) revegf] A009987 40.2041 [-43/(-1+43*x) lgdogf] A009988 10.1680 [{a(n+1)-44*a(n),a(0)=1} ogf] A009988 12.831 [-44*f(x)*x+f(x)-1 ogf] A009988 24.4955 [-1/(44*x-1) ogf] A009988 35.2047 [1/44*ln(1+44*x) revegf] A009988 40.6208 [-44/(-1+44*x) lgdogf] A009989 10.1680 [{a(n+1)-45*a(n),a(0)=1} ogf] A009989 12.831 [-45*f(x)*x+f(x)-1 ogf] A009989 24.4955 [-1/(45*x-1) ogf] A009989 35.2047 [1/45*ln(1+45*x) revegf] A009989 40.6208 [-45/(-1+45*x) lgdogf] A009990 10.1680 [{a(n+1)-46*a(n),a(0)=1} ogf] A009990 12.831 [-46*f(x)*x+f(x)-1 ogf] A009990 24.4955 [-1/(46*x-1) ogf] A009990 35.2047 [1/46*ln(1+46*x) revegf] A009990 40.6208 [-46/(-1+46*x) lgdogf] A009991 11.1846 [-47*f(x)*x+f(x)-1 ogf] A009991 21.3524 [-1/(47*x-1) ogf] A009991 30.6131 [1/47*ln(1+47*x) revegf] A009991 35.3228 [-47/(-1+47*x) lgdogf] A009991 8.86326 [{a(n+1)-47*a(n),a(0)=1} ogf] A009992 12.0320 [{a(n+1)-48*a(n),a(0)=1} ogf] A009992 15.1832 [-48*f(x)*x+f(x)-1 ogf] A009992 28.9862 [-1/(48*x-1) ogf] A009992 30.6131 [1/48*ln(1+48*x) revegf] A009992 35.3228 [-48/(-1+48*x) lgdogf] A010000 14.2754 [-(x+1)*(x^2-x+1)/(x-1)^3 ogf] A010000 24.9391 [-3*(1+x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A010000 27.9138 [-x^5+x^2+3 ogf_with_Euler_transform] A010000 6.11805 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=6,a(3)=11} ogf] A010000 7.26519 [-(20*f(x)+7)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-f(x)+1) ogf] A010001 12.1642 [-(x+1)*(x^2+3*x+1)/(x-1)^3 ogf] A010001 21.1265 [-(7+16*x+7*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A010001 6.26368 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=7,a(2)=22,a(3)=47} ogf] A010001 6.82384 [(428*f(x)-707)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+4*x^2-f(x)+4*x+1) ogf] A010002 11.9010 [-(x+1)*(x^2+7*x+1)/(x-1)^3 ogf] A010002 19.6593 [-(11+32*x+11*x^2)/(x-1)/(x+1)/(x^2+7*x+1) lgdogf] A010002 6.08273 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=11,a(2)=38,a(3)=83} ogf] A010002 6.62233 [(796*f(x)-3451)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+8*x^2-f(x)+8*x+1) ogf] A010003 11.4425 [-(x+1)*(x^2+9*x+1)/(x-1)^3 ogf] A010003 19.4482 [-(13+40*x+13*x^2)/(x-1)/(x+1)/(x^2+9*x+1) lgdogf] A010003 5.97367 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=13,a(2)=46,a(3)=101} ogf] A010003 6.49935 [(140*f(x)-797)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+10*x^2-f(x)+10*x+1) ogf] A010004 11.6544 [-(x+1)*(x^2+11*x+1)/(x-1)^3 ogf] A010004 19.3433 [-3*(5+16*x+5*x^2)/(x-1)/(x+1)/(x^2+11*x+1) lgdogf] A010004 6.08429 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=15,a(2)=54,a(3)=119} ogf] A010004 6.56717 [(388*f(x)-2737)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+12*x^2-f(x)+12*x+1) ogf] A010005 11.7604 [-(x+1)*(x^2+13*x+1)/(x-1)^3 ogf] A010005 19.5224 [-(17+56*x+17*x^2)/(x-1)/(x+1)/(x^2+13*x+1) lgdogf] A010005 6.13960 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=17,a(2)=62,a(3)=137} ogf] A010005 6.52333 [(1348*f(x)-11347)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+14*x^2-f(x)+14*x+1) ogf] A010006 11.4762 [-(x+1)*(x^2+14*x+1)/(x-1)^3 ogf] A010006 19.5088 [-6*(x+3)*(3*x+1)/(x-1)/(x+1)/(x^2+14*x+1) lgdogf] A010006 5.99126 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=18,a(2)=66,a(3)=146} ogf] A010006 6.62449 [(10*f(x)-91)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+15*x^2-f(x)+15*x+1) ogf] A010007 11.4762 [-(x+1)*(x^2+15*x+1)/(x-1)^3 ogf] A010007 19.0443 [-(19+64*x+19*x^2)/(x-1)/(x+1)/(x^2+15*x+1) lgdogf] A010007 5.99126 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=19,a(2)=70,a(3)=155} ogf] A010007 6.36572 [(1532*f(x)-14987)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+16*x^2-f(x)+16*x+1) ogf] A010008 11.5289 [-(x+1)*(x^2+16*x+1)/(x-1)^3 ogf] A010008 19.1333 [-4*(5+17*x+5*x^2)/(x-1)/(x+1)/(x^2+16*x+1) lgdogf] A010008 6.01875 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=20,a(2)=74,a(3)=164} ogf] A010008 6.60121 [(58*f(x)-607)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+17*x^2-f(x)+17*x+1) ogf] A010009 11.5815 [-(x+1)*(x^2+17*x+1)/(x-1)^3 ogf] A010009 19.2223 [-3*(7+24*x+7*x^2)/(x-1)/(x+1)/(x^2+17*x+1) lgdogf] A010009 6.04623 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=21,a(2)=78,a(3)=173} ogf] A010009 6.52609 [(572*f(x)-6377)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+18*x^2-f(x)+18*x+1) ogf] A010010 11.5815 [-(x+1)*(x^2+18*x+1)/(x-1)^3 ogf] A010010 18.3486 [-2*(11+38*x+11*x^2)/(x-1)/(x+1)/(x^2+18*x+1) lgdogf] A010010 6.04623 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=22,a(2)=82,a(3)=182} ogf] A010010 6.52609 [(113*f(x)-1337)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+19*x^2-f(x)+19*x+1) ogf] A010011 11.6868 [-(x+1)*(x^2+19*x+1)/(x-1)^3 ogf] A010011 19.4003 [-(23+80*x+23*x^2)/(x-1)/(x+1)/(x^2+19*x+1) lgdogf] A010011 6.10120 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=23,a(2)=86,a(3)=191} ogf] A010011 6.48252 [(1900*f(x)-23779)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+20*x^2-f(x)+20*x+1) ogf] A010012 11.6868 [-(x+1)*(x^2+20*x+1)/(x-1)^3 ogf] A010012 19.4003 [-12*(2+7*x+2*x^2)/(x-1)/(x+1)/(x^2+20*x+1) lgdogf] A010012 6.10120 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=24,a(2)=90,a(3)=200} ogf] A010012 6.38279 [-(166*f(x)-2191)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+21*x^2-f(x)+21*x+1) ogf] A010013 11.7394 [-(x+1)*(x^2+21*x+1)/(x-1)^3 ogf] A010013 19.4893 [-(25+88*x+25*x^2)/(x-1)/(x+1)/(x^2+21*x+1) lgdogf] A010013 6.12868 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=25,a(2)=94,a(3)=209} ogf] A010013 6.51172 [(2084*f(x)-28931)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+22*x^2-f(x)+22*x+1) ogf] A010014 11.7394 [-(x+1)*(x^2+22*x+1)/(x-1)^3 ogf] A010014 18.6034 [-2*(13+46*x+13*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A010014 6.12868 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=26,a(2)=98,a(3)=218} ogf] A010014 6.61508 [(136*f(x)-1981)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+23*x^2-f(x)+23*x+1) ogf] A010015 11.4545 [-(x+1)*(x^2+23*x+1)/(x-1)^3 ogf] A010015 19.0099 [-3*(9+32*x+9*x^2)/(x-1)/(x+1)/(x^2+23*x+1) lgdogf] A010015 5.93629 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=27,a(2)=102,a(3)=227} ogf] A010015 6.66617 [(4*f(x)-61)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+24*x^2-f(x)+24*x+1) ogf] A010016 11.4545 [-(x+1)*(x^2+24*x+1)/(x-1)^3 ogf] A010016 19.0099 [-4*(7+25*x+7*x^2)/(x-1)/(x+1)/(x^2+24*x+1) lgdogf] A010016 5.93629 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=28,a(2)=106,a(3)=236} ogf] A010016 6.45454 [(590*f(x)-9401)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+25*x^2-f(x)+25*x+1) ogf] A010017 11.4545 [-(x+1)*(x^2+25*x+1)/(x-1)^3 ogf] A010017 18.5678 [-(29+104*x+29*x^2)/(x-1)/(x+1)/(x^2+25*x+1) lgdogf] A010017 5.93629 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=29,a(2)=110,a(3)=245} ogf] A010017 6.35369 [(2452*f(x)-40747)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+26*x^2-f(x)+26*x+1) ogf] A010018 11.5591 [-(x+1)*(x^2+26*x+1)/(x-1)^3 ogf] A010018 19.1868 [-6*(5+18*x+5*x^2)/(x-1)/(x+1)/(x^2+26*x+1) lgdogf] A010018 5.99050 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=30,a(2)=114,a(3)=254} ogf] A010018 6.61854 [(53*f(x)-917)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+27*x^2-f(x)+27*x+1) ogf] A010019 11.5591 [-(x+1)*(x^2+27*x+1)/(x-1)^3 ogf] A010019 18.7406 [-(31+112*x+31*x^2)/(x-1)/(x+1)/(x^2+27*x+1) lgdogf] A010019 5.99050 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=31,a(2)=118,a(3)=263} ogf] A010019 6.41171 [(2636*f(x)-47411)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+28*x^2-f(x)+28*x+1) ogf] A010020 11.6115 [-(x+1)*(x^2+29*x+1)/(x-1)^3 ogf] A010020 18.3991 [-3*(11+40*x+11*x^2)/(x-1)/(x+1)/(x^2+29*x+1) lgdogf] A010020 6.01761 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=33,a(2)=126,a(3)=281} ogf] A010020 6.49144 [(940*f(x)-18193)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+30*x^2-f(x)+30*x+1) ogf] A010021 11.6115 [-(x+1)*(x^2+30*x+1)/(x-1)^3 ogf] A010021 18.3991 [-2*(17+62*x+17*x^2)/(x-1)/(x+1)/(x^2+30*x+1) lgdogf] A010021 6.01761 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=34,a(2)=130,a(3)=290} ogf] A010021 6.64849 [(26*f(x)-521)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+31*x^2-f(x)+31*x+1) ogf] A010022 11.3784 [-(x+1)*(x^2+38*x+1)/(x-1)^3 ogf] A010022 18.8836 [-6*(7+26*x+7*x^2)/(x-1)/(x+1)/(x^2+38*x+1) lgdogf] A010022 5.89682 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=42,a(2)=162,a(3)=362} ogf] A010022 6.46292 [(76*f(x)-1939)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+39*x^2-f(x)+39*x+1) ogf] A010023 11.3784 [-(x+1)*(x^2+40*x+1)/(x-1)^3 ogf] A010023 18.0252 [-4*(11+41*x+11*x^2)/(x-1)/(x+1)/(x^2+40*x+1) lgdogf] A010023 5.89682 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=44,a(2)=170,a(3)=380} ogf] A010023 6.36114 [(958*f(x)-25753)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+41*x^2-f(x)+41*x+1) ogf] A010024 7.72019 [-(x^5+7*x^4+42*x^3+22*x^2+7*x+1)/(x-1)^5 ogf] A010024 8.11318 [-4*(3+18*x+3*x^4+28*x^3+48*x^2)/(x-1)/(x^5+7*x^4+42*x^3+22*x^2+7*x+1) lgdogf] A010025 5.08832 [(x^5+7*x^4+42*x^3+22*x^2+7*x+1)/(x-1)^6 ogf] A010025 7.55846 [-(13+79*x+19*x^4+x^5+154*x^3+214*x^2)/(x-1)/(x^5+7*x^4+42*x^3+22*x^2+7*x+1) lgdogf] A010035 11.6272 [-1/6*(-1-12*x+(1+36*x+36*x^2)^(1/2))/(9*x-1) revogf] A010035 11.8976 [-3*(-5+18*x+27*x^2)/(3*x-1)/(3*x+1)/(9*x-1) lgdogf] A010035 15.6113 [(3*x+1)/(9*x-1)/(3*x-1) ogf] A010035 8.06297 [(214*f(x)+411)*(27*f(x)*x^2-12*f(x)*x+f(x)-3*x-1) ogf] A010035 8.63211 [{-a(n+2)+12*a(n+1)-27*a(n),a(0)=1,a(1)=15} ogf] A010036 13.1935 [-1/2*(-1-6*x+(1+8*x+4*x^2)^(1/2))/(8*x+1) revogf] A010036 14.6198 [-(5-16*x+8*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A010036 16.1659 [-(x-1)/(4*x-1)/(2*x-1) ogf] A010036 8.36168 [(14*f(x)+11)*(8*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A010036 8.87155 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=5} ogf] A010037 10.7308 [-(2502111+1435391*x)/(1435391*x+533360)/(x-1) lgdogf] A010037 4.33917 [(3937502*f(x)+4160453389601)*(f(x)*x^2-2*f(x)*x+f(x)-1435391*x-533360) ogf] A010037 5.31899 [{-a(n+2)+2*a(n+1)-a(n),a(0)=533360,a(1)=2502111} ogf] A010037 8.77978 [-(-266680-x+(71118222400+1968751*x)^(1/2))/(-1435391+x) revogf] A010037 8.83332 [(1435391*x+533360)/(x-1)^2 ogf] A010049 12.3118 [-x*(x-1)/(x^2+x-1)^2 ogf] A010049 25.4631 [-(-1-3*x+3*x^2)/(x-1)/(x^2+x-1) lgdogf] A010049 4.47078 [{(n+3)*a(n+4)+(-5-2*n)*a(n+3)-3*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A010049 6.20364 [-(f(x)-1)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A010050 6.87489 [{(4*n^2+14*n+12)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A010054 22.6646 [-1/(-x-1) ogf_with_Euler_transform] A010054 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(1/4)*2^(3/8)/GAMMA(3/4) A010070 4.65672 [(7*x^10+7*x^9+8*x^8+9*x^7+9*x^6+9*x^5+9*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A010076 6.01617 [-x*(8*x^10+x^7+6*x^6+3*x^5+3*x^4+x^3+x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A010079 6.14683 [-(8*x^7-25*x^6+2*x^5-63*x^4-124*x^3-71*x^2-14*x-1)/(x+1)^2/(x-1)^4 ogf] A010079 6.93677 [8*(2+22*x+61*x^4-x^6+34*x^5+98*x^3+73*x^2-2*x^7+x^8)/(x-1)/(x+1)/(8*x^7-25*x^6+2*x^5-63*x^4-124*x^3-71*x^2-14*x-1) lgdogf] A010096 12.9435 [(-2+2*x^3-3*x^2-15*x^14+14*x^15)/(x-1)/(x^15+x^3+x+1) lgdogf] A010096 13.0274 [-(x^15+x^3+x+1)/(x-1) ogf] A010121 11.1551 [-(2*x^2+3*x+2)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010121 7.63246 [-(5*f(x)-7)*(f(x)*x^4+2*x^4+x^3+x^2-f(x)+x+2) ogf] A010121 8.73465 [-(1+2*x+3*x^4+x^6+2*x^5+16*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^2+3*x+2)/(x^2-x+1) lgdogf] A010122 6.73816 [-(1+2*x+30*x^4+3*x^6+4*x^5+4*x^3+3*x^2+2*x^7+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(3*x^4-2*x^3+3*x^2-2*x+3) lgdogf] A010122 7.03965 [-(3*f(x)-7)*(f(x)*x^5+3*x^5+x^4+x^3+x^2-f(x)+x+3) ogf] A010122 9.93266 [-(x+1)*(3*x^4-2*x^3+3*x^2-2*x+3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010123 11.1551 [-(3*x^2+4*x+3)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010123 7.7966 [(64*f(x)-75)*(f(x)*x^4+3*x^4+x^3+2*x^2-f(x)+x+3) ogf] A010123 8.73465 [-(1+4*x+3*x^4+x^6+4*x^5+24*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^2+4*x+3)/(x^2-x+1) lgdogf] A010124 5.35990 [-(2+2*x+10*x^4+10*x^6+48*x^5+4*x^3+2*x^10+9*x^2+4*x^7+2*x^9+9*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(4*x^6+2*x^5+x^4+3*x^3+x^2+2*x+4) lgdogf] A010124 8.95165 [-(4*x^6+2*x^5+x^4+3*x^3+x^2+2*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010125 5.70570 [-(1+2*x+5*x^4+5*x^6+48*x^5+4*x^3+x^10+6*x^2+4*x^7+2*x^9+6*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(4*x^4+x^3-3*x^2+x+4) lgdogf] A010125 8.95165 [-(4*x^4+x^3-3*x^2+x+4)*(x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010126 5.44236 [-(1+4*x+5*x^4+5*x^6+48*x^5+8*x^3+x^10+12*x^2+8*x^7+4*x^9+12*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(4*x^6+x^5+2*x^4+4*x^3+2*x^2+x+4) lgdogf] A010126 8.95165 [-(4*x^6+x^5+2*x^4+4*x^3+2*x^2+x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010127 11.1551 [-(4*x^2+5*x+4)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010127 7.63246 [(275*f(x)-117)*(f(x)*x^4+4*x^4+x^3+3*x^2-f(x)+x+4) ogf] A010127 8.73465 [-(1+6*x+3*x^4+x^6+6*x^5+32*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(4*x^2+5*x+4)/(x^2-x+1) lgdogf] A010128 10.8958 [-(x+1)*(5*x^4-3*x^3+4*x^2-3*x+5)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010128 7.26932 [-(2+2*x+50*x^4+3*x^6+8*x^5+8*x^3+3*x^2+2*x^7+2*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(5*x^4-3*x^3+4*x^2-3*x+5) lgdogf] A010129 7.54564 [-(x^2-x+1)*(5*x^6+6*x^5+2*x^4-x^3+2*x^2+6*x+5)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010130 11.0232 [-(5*x^4+x^3+x^2+x+5)/(x-1)/(x+1)/(x^2+1) ogf] A010130 7.62241 [(22*f(x)-117)*(f(x)*x^4+5*x^4+x^3+x^2-f(x)+x+5) ogf] A010130 9.08240 [-(1+2*x+3*x^4+x^6+2*x^5+40*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^4+x^3+x^2+x+5) lgdogf] A010131 11.0232 [-(5*x^4+x^3+2*x^2+x+5)/(x-1)/(x+1)/(x^2+1) ogf] A010131 7.54218 [(128*f(x)-525)*(f(x)*x^4+5*x^4+x^3+2*x^2-f(x)+x+5) ogf] A010131 8.85247 [-(1+4*x+3*x^4+x^6+4*x^5+40*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^4+x^3+2*x^2+x+5) lgdogf] A010132 11.0232 [-(5*x^2+6*x+5)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010132 7.8737 [(7*f(x)+4)*(f(x)*x^4+5*x^4+x^3+4*x^2-f(x)+x+5) ogf] A010132 8.63389 [-(1+8*x+3*x^4+x^6+8*x^5+40*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^2+6*x+5)/(x^2-x+1) lgdogf] A010133 11.2829 [-(1+2*x+x^4+2*x^3+18*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^2-2*x+3) lgdogf] A010133 12.3728 [-2*(x+1)*(3*x^2-2*x+3)/(x-1)/(x^2+x+1) ogf] A010133 7.27063 [{-a(n+4)+a(n+1),a(0)=6,a(1)=2,a(2)=2,a(3)=12} ogf] A010133 7.92416 [-(13*f(x)-72)*(f(x)*x^3+6*x^3+2*x^2-f(x)+2*x+6) ogf] A010134 6.28882 [-(6*x^10+x^9+x^8+3*x^7+x^6+5*x^5+x^4+3*x^3+x^2+x+6)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010135 5.60577 [-(1+4*x+5*x^4+5*x^6+72*x^5+8*x^3+x^10+6*x^2+8*x^7+4*x^9+6*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(6*x^4+x^3-4*x^2+x+6) lgdogf] A010135 8.79489 [-(x^2+1)*(6*x^4+x^3-4*x^2+x+6)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010136 5.40494 [-(6*x^8+x^7+3*x^6+x^5-5*x^4+x^3+3*x^2+x+6)*(x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A010137 11.0232 [-(6*x^2+7*x+6)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010137 7.46361 [(833*f(x)+1425)*(f(x)*x^4+6*x^4+x^3+5*x^2-f(x)+x+6) ogf] A010137 8.42584 [-(1+10*x+3*x^4+x^6+10*x^5+48*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(6*x^2+7*x+6)/(x^2-x+1) lgdogf] A010138 5.34705 [-2*(2+x+10*x^4+10*x^6+42*x^5+2*x^3+2*x^10+3*x^2+2*x^7+x^9+3*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^6+4*x^5+x^4+2*x^3+x^2+4*x+7) lgdogf] A010138 8.79489 [-(7*x^6+4*x^5+x^4+2*x^3+x^2+4*x+7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010139 6.45643 [-(3+2*x+70*x^4+3*x^6+12*x^5+12*x^3+3*x^2+2*x^7+3*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(7*x^4-4*x^3+5*x^2-4*x+7) lgdogf] A010139 9.87700 [-(x+1)*(7*x^4-4*x^3+5*x^2-4*x+7)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010140 5.51679 [-2*(1+x+5*x^4+5*x^6+42*x^5+2*x^3+x^10+9*x^2+2*x^7+x^9+9*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^6+2*x^5+x^4+6*x^3+x^2+2*x+7) lgdogf] A010140 8.79489 [-(7*x^6+2*x^5+x^4+6*x^3+x^2+2*x+7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010141 11.0232 [-(7*x^4+2*x^3+2*x^2+2*x+7)/(x-1)/(x+1)/(x^2+1) ogf] A010141 7.78812 [(4*f(x)-25)*(f(x)*x^4+7*x^4+2*x^3+2*x^2-f(x)+2*x+7) ogf] A010141 8.22759 [-2*(1+2*x+3*x^4+x^6+2*x^5+28*x^3+3*x^2)/(x-1)/(x+1)/(7*x^4+2*x^3+2*x^2+2*x+7)/(x^2+1) lgdogf] A010142 5.51679 [-(1+2*x+5*x^4+5*x^6+84*x^5+4*x^3+x^10+12*x^2+4*x^7+2*x^9+12*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^6+x^5+x^4+4*x^3+x^2+x+7) lgdogf] A010142 8.79489 [-(7*x^6+x^5+x^4+4*x^3+x^2+x+7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010143 8.15074 [-(x+1)*(7*x^6-6*x^5+7*x^4-6*x^3+7*x^2-6*x+7)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010144 5.34705 [-(1+4*x+5*x^4+5*x^6+84*x^5+8*x^3+x^10+21*x^2+8*x^7+4*x^9+21*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^6+x^5+2*x^4+7*x^3+2*x^2+x+7) lgdogf] A010144 8.79489 [-(7*x^6+x^5+2*x^4+7*x^3+2*x^2+x+7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010145 5.83237 [-(x+1)*(7*x^10-6*x^9+10*x^8-7*x^7+8*x^6-6*x^5+8*x^4-7*x^3+10*x^2-6*x+7)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010146 11.0232 [-(x^2-x+1)*(7*x^2+8*x+7)/(x-1)/(x+1)/(x^2+1) ogf] A010146 7.46361 [(640*f(x)+1881)*(f(x)*x^4+7*x^4+x^3+6*x^2-f(x)+x+7) ogf] A010146 8.42584 [-(1+12*x+3*x^4+x^6+12*x^5+56*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(7*x^2+8*x+7) lgdogf] A010147 6.28882 [-(8*x^10+5*x^9+2*x^8+x^7+x^6+7*x^5+x^4+x^3+2*x^2+5*x+8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010148 7.54564 [-(8*x^8+3*x^7+3*x^6+x^5+4*x^4+x^3+3*x^2+3*x+8)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010149 5.51679 [-2*(1+x+5*x^4+5*x^6+48*x^5+2*x^3+x^10+3*x^2+2*x^7+x^9+3*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(8*x^6+2*x^5+x^4+2*x^3+x^2+2*x+8) lgdogf] A010149 8.79489 [-(8*x^6+2*x^5+x^4+2*x^3+x^2+2*x+8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010150 7.54564 [-(x^2+x+1)*(8*x^6-6*x^5+7*x^3-6*x+8)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010151 8.15074 [-(x+1)*(8*x^6-7*x^5+8*x^4-3*x^3+8*x^2-7*x+8)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010152 6.70239 [-(1+2*x+80*x^4+3*x^6+4*x^5+4*x^3+3*x^2+2*x^7+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(8*x^4-7*x^3+8*x^2-7*x+8) lgdogf] A010152 9.87700 [-(x+1)*(8*x^4-7*x^3+8*x^2-7*x+8)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010153 11.0232 [-(8*x^4+x^3+x^2+x+8)/(x-1)/(x+1)/(x^2+1) ogf] A010153 7.62241 [(17*f(x)-133)*(f(x)*x^4+8*x^4+x^3+x^2-f(x)+x+8) ogf] A010153 9.08240 [-(1+2*x+3*x^4+x^6+2*x^5+64*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(8*x^4+x^3+x^2+x+8) lgdogf] A010154 5.40494 [-(8*x^12+x^11+2*x^10+x^9+x^8+5*x^7+4*x^6+5*x^5+x^4+x^3+2*x^2+x+8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A010155 5.51679 [-(1+6*x+5*x^4+5*x^6+96*x^5+12*x^3+x^10+6*x^2+12*x^7+6*x^9+6*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(8*x^4+x^3-5*x^2+x+8) lgdogf] A010155 8.79489 [-(x^2+1)*(8*x^4+x^3-5*x^2+x+8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010156 11.0232 [-(8*x^4+x^3+4*x^2+x+8)/(x-1)/(x+1)/(x^2+1) ogf] A010156 7.54218 [(160*f(x)-891)*(f(x)*x^4+8*x^4+x^3+4*x^2-f(x)+x+8) ogf] A010156 8.85247 [-(1+8*x+3*x^4+x^6+8*x^5+64*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(8*x^4+x^3+4*x^2+x+8) lgdogf] A010157 11.0232 [-(x^2-x+1)*(8*x^2+9*x+8)/(x-1)/(x+1)/(x^2+1) ogf] A010157 7.54218 [(207*f(x)+875)*(f(x)*x^4+8*x^4+x^3+7*x^2-f(x)+x+8) ogf] A010157 8.42584 [-(1+14*x+3*x^4+x^6+14*x^5+64*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(8*x^2+9*x+8) lgdogf] A010158 6.45643 [-(4+2*x+90*x^4+3*x^6+16*x^5+16*x^3+3*x^2+2*x^7+4*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(9*x^4-5*x^3+6*x^2-5*x+9) lgdogf] A010158 9.87700 [-(x+1)*(9*x^4-5*x^3+6*x^2-5*x+9)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010159 6.28882 [-(9*x^10+3*x^9+x^8+x^7+x^6+8*x^5+x^4+x^3+x^2+3*x+9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010160 5.30623 [-(2+2*x+10*x^4+10*x^6+108*x^5+4*x^3+2*x^10+3*x^2+4*x^7+2*x^9+3*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(9*x^6+2*x^5+x^4+x^3+x^2+2*x+9) lgdogf] A010160 8.79489 [-(9*x^6+2*x^5+x^4+x^3+x^2+2*x+9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010161 6.51621 [-(2+6*x+90*x^4+9*x^6+8*x^5+8*x^3+9*x^2+6*x^7+2*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(9*x^4-7*x^3+10*x^2-7*x+9) lgdogf] A010161 9.87700 [-(x+1)*(9*x^4-7*x^3+10*x^2-7*x+9)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010162 7.54564 [-(9*x^8+x^7+x^6+5*x^5+x^4+5*x^3+x^2+x+9)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010163 7.54564 [-(9*x^8+x^7+x^6+2*x^5+4*x^4+2*x^3+x^2+x+9)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010164 6.28882 [-(9*x^10+x^9+x^8+x^7+4*x^6+6*x^5+4*x^4+x^3+x^2+x+9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010166 11.0232 [-(9*x^4+x^3+2*x^2+x+9)/(x-1)/(x+1)/(x^2+1) ogf] A010166 7.31129 [(2560*f(x)-21879)*(f(x)*x^4+9*x^4+x^3+2*x^2-f(x)+x+9) ogf] A010166 8.85247 [-(1+4*x+3*x^4+x^6+4*x^5+72*x^3+3*x^2)/(x-1)/(x+1)/(9*x^4+x^3+2*x^2+x+9)/(x^2+1) lgdogf] A010167 11.0232 [-(9*x^4+x^3+3*x^2+x+9)/(x-1)/(x+1)/(x^2+1) ogf] A010167 7.02458 [-(4725*f(x)-37582)*(f(x)*x^4+9*x^4+x^3+3*x^2-f(x)+x+9) ogf] A010167 8.85247 [-(1+6*x+3*x^4+x^6+6*x^5+72*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(9*x^4+x^3+3*x^2+x+9) lgdogf] A010168 5.83237 [-(x+1)*(9*x^10-8*x^9+13*x^8-12*x^7+13*x^6-12*x^5+13*x^4-12*x^3+13*x^2-8*x+9)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010169 11.0232 [-(9*x^2+10*x+9)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010169 7.46361 [(325*f(x)+1806)*(f(x)*x^4+9*x^4+x^3+8*x^2-f(x)+x+9) ogf] A010169 8.32554 [-(1+16*x+3*x^4+x^6+16*x^5+72*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(9*x^2+10*x+9)/(x^2-x+1) lgdogf] A010170 13.2014 [-f(x)*x^2-9*x^2+f(x)-x-9 ogf] A010170 14.2790 [-(9*x^2+x+9)/(x-1)/(x+1) ogf] A010170 18.4571 [-(1+36*x+x^2)/(x-1)/(x+1)/(9*x^2+x+9) lgdogf] A010170 8.23144 [{-a(n+3)+a(n+1),a(0)=9,a(1)=1,a(2)=18} ogf] A010171 5.35714 [-(10*x^12+6*x^11+x^10+2*x^9+x^8+x^7+9*x^6+x^5+x^4+2*x^3+x^2+6*x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A010172 6.84044 [-(x+1)*(10*x^8-7*x^7+9*x^6-8*x^5+9*x^4-8*x^3+9*x^2-7*x+10)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010173 8.63498 [-(10*x^6+2*x^5+x^4+9*x^3+x^2+2*x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010174 7.32743 [-(10*x^8+2*x^7+x^6+x^5+4*x^4+x^3+x^2+2*x+10)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010176 5.42196 [-(1+2*x+5*x^4+5*x^6+120*x^5+4*x^3+x^10+18*x^2+4*x^7+2*x^9+18*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(10*x^6+x^5+x^4+6*x^3+x^2+x+10) lgdogf] A010176 8.63498 [-(10*x^6+x^5+x^4+6*x^3+x^2+x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010177 5.50735 [-(1+2*x+5*x^4+5*x^6+120*x^5+4*x^3+x^10+6*x^2+4*x^7+2*x^9+6*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(10*x^4+x^3-9*x^2+x+10) lgdogf] A010177 8.63498 [-(x^2+1)*(10*x^4+x^3-9*x^2+x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010178 6.84044 [-(x+1)*(x^2-x+1)*(10*x^6+x^5+x^4-9*x^3+x^2+x+10)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010179 5.16795 [-(1+4*x+5*x^4+5*x^6+120*x^5+8*x^3+x^10+30*x^2+8*x^7+4*x^9+30*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(10*x^6+x^5+2*x^4+10*x^3+2*x^2+x+10) lgdogf] A010179 8.44643 [-(10*x^6+x^5+2*x^4+10*x^3+2*x^2+x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010180 6.21856 [-(10*x^10+x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+2*x^2+x+10)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010181 6.21856 [-(10*x^10+x^9+3*x^8+2*x^7+x^6+4*x^5+x^4+2*x^3+3*x^2+x+10)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010182 5.42196 [-(1+8*x+5*x^4+5*x^6+120*x^5+16*x^3+x^10+6*x^2+16*x^7+8*x^9+6*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(10*x^4+x^3-6*x^2+x+10) lgdogf] A010182 8.63498 [-(x^2+1)*(10*x^4+x^3-6*x^2+x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010183 6.14693 [-(10*x^10+x^9+6*x^8+3*x^7+2*x^6+10*x^5+2*x^4+3*x^3+6*x^2+x+10)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010184 10.5321 [-(10*x^2+11*x+10)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010184 7.27474 [(121*f(x)+837)*(f(x)*x^4+10*x^4+x^3+9*x^2-f(x)+x+10) ogf] A010184 8.00632 [-(1+18*x+3*x^4+x^6+18*x^5+80*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(10*x^2+11*x+10)/(x^2-x+1) lgdogf] A010186 6.32204 [-(5+2*x+110*x^4+3*x^6+20*x^5+20*x^3+3*x^2+2*x^7+5*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(11*x^4-6*x^3+7*x^2-6*x+11) lgdogf] A010186 9.67117 [-(x+1)*(11*x^4-6*x^3+7*x^2-6*x+11)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010187 10.5321 [-(11*x^4+4*x^3+2*x^2+4*x+11)/(x-1)/(x+1)/(x^2+1) ogf] A010187 7.35052 [(25*f(x)-248)*(f(x)*x^4+11*x^4+4*x^3+2*x^2-f(x)+4*x+11) ogf] A010187 8.29571 [-4*(1+x+3*x^4+x^6+x^5+22*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(11*x^4+4*x^3+2*x^2+4*x+11) lgdogf] A010188 5.26988 [-(11*x^12+3*x^11+x^10+2*x^9+2*x^8+7*x^7+11*x^6+7*x^5+2*x^4+2*x^3+x^2+3*x+11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A010189 10.5321 [-(11*x^4+3*x^3+5*x^2+3*x+11)/(x-1)/(x+1)/(x^2+1) ogf] A010189 7.20051 [(867*f(x)-7238)*(f(x)*x^4+11*x^4+3*x^3+5*x^2-f(x)+3*x+11) ogf] A010189 7.73645 [-(3+10*x+9*x^4+3*x^6+10*x^5+88*x^3+9*x^2)/(x-1)/(x+1)/(x^2+1)/(11*x^4+3*x^3+5*x^2+3*x+11) lgdogf] A010190 6.21856 [-(11*x^10+2*x^9+x^8+3*x^7+x^6+6*x^5+x^4+3*x^3+x^2+2*x+11)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010191 8.44643 [-(11*x^6+2*x^5+4*x^4+11*x^3+4*x^2+2*x+11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010194 7.32743 [-(11*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+11)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010195 10.5321 [-(11*x^4+x^3+x^2+x+11)/(x-1)/(x+1)/(x^2+1) ogf] A010195 7.35052 [(23*f(x)-250)*(f(x)*x^4+11*x^4+x^3+x^2-f(x)+x+11) ogf] A010195 8.71575 [-(1+2*x+3*x^4+x^6+2*x^5+88*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(11*x^4+x^3+x^2+x+11) lgdogf] A010196 6.84044 [-(x+1)*(11*x^8-10*x^7+12*x^6-10*x^5+11*x^4-10*x^3+12*x^2-10*x+11)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010197 10.5321 [-(11*x^4+x^3+2*x^2+x+11)/(x-1)/(x+1)/(x^2+1) ogf] A010197 7.0565 [(1600*f(x)-17017)*(f(x)*x^4+11*x^4+x^3+2*x^2-f(x)+x+11) ogf] A010197 8.50054 [-(1+4*x+3*x^4+x^6+4*x^5+88*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(11*x^4+x^3+2*x^2+x+11) lgdogf] A010199 10.5321 [-(11*x^4+x^3+4*x^2+x+11)/(x-1)/(x+1)/(x^2+1) ogf] A010199 7.20051 [(117*f(x)-1106)*(f(x)*x^4+11*x^4+x^3+4*x^2-f(x)+x+11) ogf] A010199 8.50054 [-(1+8*x+3*x^4+x^6+8*x^5+88*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(11*x^4+x^3+4*x^2+x+11) lgdogf] A010200 10.5321 [-(11*x^4+x^3+6*x^2+x+11)/(x-1)/(x+1)/(x^2+1) ogf] A010200 7.0565 [(3584*f(x)-24375)*(f(x)*x^4+11*x^4+x^3+6*x^2-f(x)+x+11) ogf] A010200 8.29571 [-(1+12*x+3*x^4+x^6+12*x^5+88*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(11*x^4+x^3+6*x^2+x+11) lgdogf] A010201 10.3509 [-(11*x^2+12*x+11)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010201 7.10972 [(256*f(x)+2125)*(f(x)*x^4+11*x^4+x^3+10*x^2-f(x)+x+11) ogf] A010201 7.98957 [-(1+20*x+3*x^4+x^6+20*x^5+88*x^3+3*x^2)/(x-1)/(x+1)/(11*x^2+12*x+11)/(x^2-x+1)/(x^2+1) lgdogf] A010202 6.84044 [-(x+1)*(12*x^8-8*x^7+9*x^6-4*x^5+7*x^4-4*x^3+9*x^2-8*x+12)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010204 7.32743 [-(12*x^8+2*x^7+x^6+2*x^5+2*x^4+2*x^3+x^2+2*x+12)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010205 6.21856 [-(x^2+1)*(12*x^8+2*x^7-10*x^6+x^5+11*x^4+x^3-10*x^2+2*x+12)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010207 7.05651 [-(x^2-x+1)*(12*x^6+13*x^5+2*x^4-8*x^3+2*x^2+13*x+12)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010208 6.21856 [-(12*x^10+x^9+x^8+x^7+x^6+3*x^5+x^4+x^3+x^2+x+12)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010209 7.32743 [-(12*x^8+x^7+x^6+x^5+5*x^4+x^3+x^2+x+12)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010210 6.21856 [-(12*x^10+x^9+2*x^8+4*x^7+x^6+2*x^5+x^4+4*x^3+2*x^2+x+12)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010211 6.14693 [-(x^2+x+1)*(12*x^8-11*x^7+x^6+11*x^5-10*x^4+11*x^3+x^2-11*x+12)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010213 5.33919 [-(1+10*x+5*x^4+5*x^6+144*x^5+20*x^3+x^10+6*x^2+20*x^7+10*x^9+6*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(12*x^4+x^3-7*x^2+x+12) lgdogf] A010213 8.63498 [-(x^2+1)*(12*x^4+x^3-7*x^2+x+12)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010215 10.3509 [-(x^2-x+1)*(12*x^2+13*x+12)/(x-1)/(x+1)/(x^2+1) ogf] A010215 6.96893 [(5915*f(x)+57387)*(f(x)*x^4+12*x^4+x^3+11*x^2-f(x)+x+12) ogf] A010215 7.98957 [-(1+22*x+3*x^4+x^6+22*x^5+96*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(12*x^2+13*x+12)/(x^2-x+1) lgdogf] A010217 6.32204 [-(6+2*x+130*x^4+3*x^6+24*x^5+24*x^3+3*x^2+2*x^7+6*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(13*x^4-7*x^3+8*x^2-7*x+13) lgdogf] A010217 9.67117 [-(x+1)*(13*x^4-7*x^3+8*x^2-7*x+13)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010218 10.5321 [-(13*x^4+5*x^3+4*x^2+5*x+13)/(x-1)/(x+1)/(x^2+1) ogf] A010218 7.20051 [(121*f(x)-1350)*(f(x)*x^4+13*x^4+5*x^3+4*x^2-f(x)+5*x+13) ogf] A010218 7.65049 [-(5+8*x+15*x^4+5*x^6+8*x^5+104*x^3+15*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^4+5*x^3+4*x^2+5*x+13) lgdogf] A010219 8.63498 [-(13*x^6+4*x^5+2*x^4+x^3+2*x^2+4*x+13)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010220 10.5321 [-(13*x^4+3*x^3+x^2+3*x+13)/(x-1)/(x+1)/(x^2+1) ogf] A010220 7.0565 [(1875*f(x)-23408)*(f(x)*x^4+13*x^4+3*x^3+x^2-f(x)+3*x+13) ogf] A010220 8.00632 [-(3+2*x+9*x^4+3*x^6+2*x^5+104*x^3+9*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^4+3*x^3+x^2+3*x+13) lgdogf] A010221 7.32743 [-(13*x^8+3*x^7+3*x^6+2*x^5+8*x^4+2*x^3+3*x^2+3*x+13)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010222 5.28630 [-2*(1+x+5*x^4+5*x^6+78*x^5+2*x^3+x^10+18*x^2+2*x^7+x^9+18*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(13*x^6+2*x^5+x^4+12*x^3+x^2+2*x+13) lgdogf] A010222 8.44643 [-(13*x^6+2*x^5+x^4+12*x^3+x^2+2*x+13)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010225 5.42196 [-(1+2*x+5*x^4+5*x^6+156*x^5+4*x^3+x^10+24*x^2+4*x^7+2*x^9+24*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(13*x^6+x^5+x^4+8*x^3+x^2+x+13) lgdogf] A010225 8.63498 [-(13*x^6+x^5+x^4+8*x^3+x^2+x+13)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010226 5.35714 [-(13*x^12+x^11+x^10+3*x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+3*x^3+x^2+x+13)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A010227 6.37899 [-(x^4+6*x^3+16*x^2+6*x+1)*(x^4-4*x^3+11*x^2-4*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(13*x^4-12*x^3+13*x^2-12*x+13) lgdogf] A010227 9.67117 [-(x+1)*(13*x^4-12*x^3+13*x^2-12*x+13)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010228 6.21856 [-(13*x^10+x^9+x^8+x^7+3*x^6+4*x^5+3*x^4+x^3+x^2+x+13)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010229 5.16795 [-(1+4*x+5*x^4+5*x^6+156*x^5+8*x^3+x^10+39*x^2+8*x^7+4*x^9+39*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(13*x^6+x^5+2*x^4+13*x^3+2*x^2+x+13) lgdogf] A010229 8.44643 [-(13*x^6+x^5+2*x^4+13*x^3+2*x^2+x+13)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010230 7.32743 [-(13*x^8+x^7+2*x^6+2*x^5+6*x^4+2*x^3+2*x^2+x+13)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010231 10.5321 [-(13*x^4+x^3+2*x^2+x+13)/(x-1)/(x+1)/(x^2+1) ogf] A010231 7.20051 [(128*f(x)-1625)*(f(x)*x^4+13*x^4+x^3+2*x^2-f(x)+x+13) ogf] A010231 8.39688 [-(1+4*x+3*x^4+x^6+4*x^5+104*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^4+x^3+2*x^2+x+13) lgdogf] A010232 4.69841 [-(x^2+1)*(13*x^12+x^11-10*x^10+11*x^8+x^7-9*x^6+x^5+11*x^4-10*x^2+x+13)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A010234 10.5321 [-(13*x^4+x^3+5*x^2+x+13)/(x-1)/(x+1)/(x^2+1) ogf] A010234 7.0565 [(1519*f(x)-16588)*(f(x)*x^4+13*x^4+x^3+5*x^2-f(x)+x+13) ogf] A010234 8.19695 [-(1+10*x+3*x^4+x^6+10*x^5+104*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^4+x^3+5*x^2+x+13) lgdogf] A010236 10.3509 [-(13*x^2+14*x+13)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010236 7.03862 [(931*f(x)+10350)*(f(x)*x^4+13*x^4+x^3+12*x^2-f(x)+x+13) ogf] A010236 7.89773 [-(1+24*x+3*x^4+x^6+24*x^5+104*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(13*x^2+14*x+13) lgdogf] A010368 3.27838 [(x^8+8*x^7+252*x^6+952*x^5+1670*x^4+952*x^3+252*x^2+8*x+1)/(x-1)^8 ogf] A010368 3.53550 [{(2*n^2+n)*a(n)+(-4*n^2-8*n-132)*a(n+1)+(2*n^2+7*n+6)*a(n+2),a(0)=1,a(1)=16} ogf] A010370 12.7618 [hypergeom([-1/2,1/2],[1],16*x) ogf] A010370 5.18772 [{(-16*n^2-32*n-12)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=-4} ogf] A010551 3.46638 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-2*n^3-22*n^2-82*n-100)*a(n+2)-8*a(n+3)+(8*n+32)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A010673 11.8196 [{a(n+2)-a(n),a(0)=0,a(1)=2} ogf] A010673 18.1618 [f(x)*x^2-f(x)+2*x ogf] A010673 22.5647 [-2*x/(x-1)/(x+1) ogf] A010673 48.6339 [(-1+(1+x^2)^(1/2))/x revogf] A010673 57.1617 [[x] ogf_with_Euler_transform] A010673 60.7924 [-2*x/(x-1)/(x+1) lgdogf] A010674 14.487 [f(x)*x^2-f(x)+3*x ogf] A010674 17.9990 [-3*x/(x-1)/(x+1) ogf] A010674 27.2118 [1/2/x*(-3+(9+4*x^2)^(1/2)) revogf] A010674 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010674 45.5715 [[x] ogf_with_Euler_transform] A010674 9.42803 [{a(n+2)-a(n),a(0)=0,a(1)=3} ogf] A010675 13.2905 [f(x)*x^2-f(x)+4*x ogf] A010675 16.5125 [-4*x/(x-1)/(x+1) ogf] A010675 35.3753 [(-2+(x^2+4)^(1/2))/x revogf] A010675 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010675 41.7978 [[x] ogf_with_Euler_transform] A010675 8.64940 [{a(n+2)-a(n),a(0)=0,a(1)=4} ogf] A010676 13.2905 [f(x)*x^2-f(x)+5*x ogf] A010676 16.5125 [-5*x/(x-1)/(x+1) ogf] A010676 26.2039 [1/2/x*(-5+(25+4*x^2)^(1/2)) revogf] A010676 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010676 41.7978 [[x] ogf_with_Euler_transform] A010676 8.64940 [{a(n+2)-a(n),a(0)=0,a(1)=5} ogf] A010677 13.2905 [f(x)*x^2-f(x)+6*x ogf] A010677 16.5125 [-6*x/(x-1)/(x+1) ogf] A010677 35.3753 [(-3+(9+x^2)^(1/2))/x revogf] A010677 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010677 41.7978 [[x] ogf_with_Euler_transform] A010677 8.64940 [{a(n+2)-a(n),a(0)=0,a(1)=6} ogf] A010678 13.2905 [f(x)*x^2-f(x)+7*x ogf] A010678 16.5125 [-7*x/(x-1)/(x+1) ogf] A010678 26.2039 [1/2/x*(-7+(49+4*x^2)^(1/2)) revogf] A010678 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010678 41.7978 [[x] ogf_with_Euler_transform] A010678 8.64940 [{a(n+2)-a(n),a(0)=0,a(1)=7} ogf] A010679 13.2905 [f(x)*x^2-f(x)+8*x ogf] A010679 16.5125 [-8*x/(x-1)/(x+1) ogf] A010679 33.6908 [(-4+(16+x^2)^(1/2))/x revogf] A010679 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010679 41.7978 [[x] ogf_with_Euler_transform] A010679 8.64940 [{a(n+2)-a(n),a(0)=0,a(1)=8} ogf] A010680 13.2905 [f(x)*x^2-f(x)+9*x ogf] A010680 16.5125 [-9*x/(x-1)/(x+1) ogf] A010680 26.2039 [1/2/x*(-9+(81+4*x^2)^(1/2)) revogf] A010680 41.6180 [-2*x/(-1+x)/(x+1) lgdogf] A010680 41.7978 [[x] ogf_with_Euler_transform] A010680 8.64940 [{a(n+2)-a(n),a(0)=0,a(1)=9} ogf] A010681 13.4667 [f(x)*x^2-f(x)+10*x ogf] A010681 16.6354 [-10*x/(x-1)/(x+1) ogf] A010681 32.7192 [(-5+(25+x^2)^(1/2))/x revogf] A010681 42.9439 [-2*x/(x-1)/(x+1) lgdogf] A010681 43.3495 [[x] ogf_with_Euler_transform] A010681 8.83755 [{a(n+2)-a(n),a(0)=0,a(1)=10} ogf] A010683 12.6452 [-(x-1+(x^2+1-6*x)^(1/2))/(x^2+1-6*x)^(1/2)/x lgdogf] A010683 7.38639 [4*f(x)^2*x^2-f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A010683 9.93549 [-1/2*(2*(4*x^2+1)^(1/2)*x+(4*x^2+1)^(1/2)-1-2*x-4*x^2)/x revogf] A010684 10.0706 [-(10*f(x)+7)*(f(x)*x^2-f(x)+3*x+1) ogf] A010684 11.3294 [{a(n+2)-a(n),a(0)=1,a(1)=3} ogf] A010684 17.6850 [-(3*x+1)/(x-1)/(x+1) ogf] A010684 20.2145 [-(3+2*x+3*x^2)/(-1+x)/(1+3*x)/(x+1) lgdogf] A010684 20.2145 [1/2/(3+x)*(-1+(1+12*x+4*x^2)^(1/2)) revogf] A010685 11.3294 [{a(n+2)-a(n),a(0)=1,a(1)=4} ogf] A010685 17.6850 [-(4*x+1)/(x-1)/(x+1) ogf] A010685 20.2145 [1/2/(4+x)*(-1+(1+16*x+4*x^2)^(1/2)) revogf] A010685 20.2145 [-2*(2+x+2*x^2)/(-1+x)/(4*x+1)/(x+1) lgdogf] A010685 9.93266 [-(17*f(x)+14)*(f(x)*x^2-f(x)+4*x+1) ogf] A010686 11.3294 [{a(n+2)-a(n),a(0)=1,a(1)=5} ogf] A010686 17.6850 [-(5*x+1)/(x-1)/(x+1) ogf] A010686 20.2145 [-(5+2*x+5*x^2)/(-1+x)/(5*x+1)/(x+1) lgdogf] A010686 20.2145 [1/2/(5+x)*(-1+(1+20*x+4*x^2)^(1/2)) revogf] A010686 9.93266 [-(26*f(x)+23)*(f(x)*x^2-f(x)+5*x+1) ogf] A010687 10.6782 [-(37*f(x)+34)*(f(x)*x^2-f(x)+6*x+1) ogf] A010687 12.1799 [{a(n+2)-a(n),a(0)=1,a(1)=6} ogf] A010687 19.0125 [-(6*x+1)/(x-1)/(x+1) ogf] A010687 21.7627 [1/2/(6+x)*(-1+(1+24*x+4*x^2)^(1/2)) revogf] A010687 21.7627 [-2*(3+x+3*x^2)/(-1+x)/(6*x+1)/(x+1) lgdogf] A010688 10.663 [(2*f(x)+47)*(f(x)*x^2-f(x)+7*x+1) ogf] A010688 11.3294 [{a(n+2)-a(n),a(0)=1,a(1)=7} ogf] A010688 17.6850 [-(7*x+1)/(x-1)/(x+1) ogf] A010688 20.2145 [-(7+2*x+7*x^2)/(-1+x)/(7*x+1)/(x+1) lgdogf] A010688 20.2145 [1/2/(7+x)*(-1+(1+28*x+4*x^2)^(1/2)) revogf] A010689 14.5778 [(f(x)+31)*(f(x)*x^2-f(x)+8*x+1) ogf] A010689 15.4890 [{a(n+2)-a(n),a(0)=1,a(1)=8} ogf] A010689 24.1779 [-(8*x+1)/(x-1)/(x+1) ogf] A010689 27.7908 [1/2/(8+x)*(-1+(1+32*x+4*x^2)^(1/2)) revogf] A010689 28.6082 [-2*(4+x+4*x^2)/(x-1)/(8*x+1)/(x+1) lgdogf] A010690 10.663 [(2*f(x)+79)*(f(x)*x^2-f(x)+9*x+1) ogf] A010690 11.3294 [{a(n+2)-a(n),a(0)=1,a(1)=9} ogf] A010690 17.6850 [-(9*x+1)/(x-1)/(x+1) ogf] A010690 20.2145 [-(9+2*x+9*x^2)/(-1+x)/(9*x+1)/(x+1) lgdogf] A010690 20.2145 [1/2/(9+x)*(-1+(1+36*x+4*x^2)^(1/2)) revogf] A010691 10.8286 [{a(n+2)-a(n),a(0)=1,a(1)=10} ogf] A010691 16.7586 [-(10*x+1)/(x-1)/(x+1) ogf] A010691 19.0862 [1/2/(10+x)*(-1+(1+40*x+4*x^2)^(1/2)) revogf] A010691 19.6315 [-2*(5+x+5*x^2)/(x-1)/(10*x+1)/(x+1) lgdogf] A010691 9.38483 [-(101*f(x)+98)*(f(x)*x^2-f(x)+10*x+1) ogf] A010692 103.170 [-1/(x-1) lgdogf] A010692 103.170 [x/(10+x) revogf] A010692 15.8891 [{a(n+1)-a(n),a(0)=10} ogf] A010692 20.0505 [-f(x)*x+f(x)-10 ogf] A010692 32.3892 [-10/(x-1) ogf] A010693 14.2891 [(4*f(x)+1)*(f(x)*x^2-f(x)+3*x+2) ogf] A010693 14.9589 [{a(n+2)-a(n),a(0)=2,a(1)=3} ogf] A010693 23.3505 [-(3*x+2)/(x-1)/(x+1) ogf] A010693 27.6138 [-(3+4*x+3*x^2)/(x-1)/(3*x+2)/(x+1) lgdogf] A010693 33.5310 [(-1+(1+3*x+x^2)^(1/2))/(3+x) revogf] A010694 11.3294 [{a(n+2)-a(n),a(0)=2,a(1)=4} ogf] A010694 16.113 [-f(x)*x^2+f(x)-4*x-2 ogf] A010694 17.6850 [-2*(2*x+1)/(x-1)/(x+1) ogf] A010694 21.4396 [-2*(x^2+x+1)/(-1+x)/(2*x+1)/(x+1) lgdogf] A010694 25.2681 [(-1+(1+4*x+x^2)^(1/2))/(4+x) revogf] A010695 10.663 [(4*f(x)+17)*(f(x)*x^2-f(x)+5*x+2) ogf] A010695 11.3294 [{a(n+2)-a(n),a(0)=2,a(1)=5} ogf] A010695 17.6850 [-(5*x+2)/(x-1)/(x+1) ogf] A010695 20.2145 [-(5+4*x+5*x^2)/(-1+x)/(5*x+2)/(x+1) lgdogf] A010695 25.2681 [(-1+(1+5*x+x^2)^(1/2))/(5+x) revogf] A010696 10.2125 [-(5*f(x)+7)*(f(x)*x^2-f(x)+6*x+2) ogf] A010696 11.3294 [{a(n+2)-a(n),a(0)=2,a(1)=6} ogf] A010696 17.6850 [-2*(3*x+1)/(x-1)/(x+1) ogf] A010696 20.2145 [-(3+2*x+3*x^2)/(-1+x)/(1+3*x)/(x+1) lgdogf] A010696 25.2681 [(-1+(1+6*x+x^2)^(1/2))/(6+x) revogf] A010697 10.663 [(4*f(x)+41)*(f(x)*x^2-f(x)+7*x+2) ogf] A010697 11.3294 [{a(n+2)-a(n),a(0)=2,a(1)=7} ogf] A010697 17.6850 [-(7*x+2)/(x-1)/(x+1) ogf] A010697 20.2145 [-(7+4*x+7*x^2)/(-1+x)/(7*x+2)/(x+1) lgdogf] A010697 25.2681 [(-1+(1+7*x+x^2)^(1/2))/(7+x) revogf] A010698 11.3294 [{a(n+2)-a(n),a(0)=2,a(1)=8} ogf] A010698 16.113 [f(x)*x^2-f(x)+8*x+2 ogf] A010698 17.6850 [-2*(4*x+1)/(x-1)/(x+1) ogf] A010698 20.2145 [-2*(2+x+2*x^2)/(-1+x)/(4*x+1)/(x+1) lgdogf] A010698 25.2681 [(-1+(1+8*x+x^2)^(1/2))/(8+x) revogf] A010699 10.663 [(4*f(x)+73)*(f(x)*x^2-f(x)+9*x+2) ogf] A010699 11.3294 [{a(n+2)-a(n),a(0)=2,a(1)=9} ogf] A010699 17.6850 [-(9*x+2)/(x-1)/(x+1) ogf] A010699 20.2145 [-(9+4*x+9*x^2)/(-1+x)/(9*x+2)/(x+1) lgdogf] A010699 25.2681 [(-1+(1+9*x+x^2)^(1/2))/(9+x) revogf] A010700 10.2009 [(f(x)+23)*(f(x)*x^2-f(x)+10*x+2) ogf] A010700 10.8286 [{a(n+2)-a(n),a(0)=2,a(1)=10} ogf] A010700 16.7586 [-2*(5*x+1)/(x-1)/(x+1) ogf] A010700 19.6315 [-ln(12)+ln(10+x+(4+x^2+20*x)^(1/2)) revegf] A010700 20.2089 [-(5+2*x+5*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A010701 101.072 [x/(3+x) revogf] A010701 13.9439 [{a(n+1)-a(n),a(0)=3} ogf] A010701 17.685 [-f(x)*x+f(x)-3 ogf] A010701 29.0034 [-3/(x-1) ogf] A010701 78.6118 [-1/(-1+x) lgdogf] A010702 11.3294 [{a(n+2)-a(n),a(0)=3,a(1)=4} ogf] A010702 17.6850 [-(4*x+3)/(x-1)/(x+1) ogf] A010702 19.1218 [-2*(2+3*x+2*x^2)/(-1+x)/(4*x+3)/(x+1) lgdogf] A010702 20.2145 [1/2/(4+x)*(-3+(9+16*x+4*x^2)^(1/2)) revogf] A010702 9.93266 [-(75*f(x)+31)*(f(x)*x^2-f(x)+4*x+3) ogf] A010703 10.8222 [(6*f(x)+7)*(f(x)*x^2-f(x)+5*x+3) ogf] A010703 11.3294 [{a(n+2)-a(n),a(0)=3,a(1)=5} ogf] A010703 17.6850 [-(5*x+3)/(x-1)/(x+1) ogf] A010703 18.6186 [1/2/(5+x)*(-3+((2*x+9)*(2*x+1))^(1/2)) revogf] A010703 20.2145 [-(5+6*x+5*x^2)/(-1+x)/(5*x+3)/(x+1) lgdogf] A010704 10.0706 [-(5*f(x)+33)*(f(x)*x^2-f(x)+6*x+3) ogf] A010704 11.3294 [{a(n+2)-a(n),a(0)=3,a(1)=6} ogf] A010704 17.6850 [-3*(2*x+1)/(x-1)/(x+1) ogf] A010704 20.2145 [1/2/(6+x)*(-3+(9+24*x+4*x^2)^(1/2)) revogf] A010704 21.4396 [-2*(x^2+x+1)/(-1+x)/(2*x+1)/(x+1) lgdogf] A010705 10.663 [(6*f(x)+31)*(f(x)*x^2-f(x)+7*x+3) ogf] A010705 11.3294 [{a(n+2)-a(n),a(0)=3,a(1)=7} ogf] A010705 17.6850 [-(7*x+3)/(x-1)/(x+1) ogf] A010705 20.2145 [-(7+6*x+7*x^2)/(-1+x)/(7*x+3)/(x+1) lgdogf] A010705 20.2145 [1/2/(7+x)*(-3+(9+28*x+4*x^2)^(1/2)) revogf] A010706 10.663 [(3*f(x)+23)*(f(x)*x^2-f(x)+8*x+3) ogf] A010706 11.3294 [{a(n+2)-a(n),a(0)=3,a(1)=8} ogf] A010706 17.6850 [-(8*x+3)/(x-1)/(x+1) ogf] A010706 19.1218 [-2*(4+3*x+4*x^2)/(-1+x)/(8*x+3)/(x+1) lgdogf] A010706 20.2145 [1/2/(8+x)*(-3+(9+32*x+4*x^2)^(1/2)) revogf] A010707 11.3294 [{a(n+2)-a(n),a(0)=3,a(1)=9} ogf] A010707 16.113 [f(x)*x^2-f(x)+9*x+3 ogf] A010707 17.6850 [-3*(3*x+1)/(x-1)/(x+1) ogf] A010707 20.2145 [-(3+2*x+3*x^2)/(-1+x)/(1+3*x)/(x+1) lgdogf] A010707 20.2145 [1/2/(9+x)*(-3+(9+36*x+4*x^2)^(1/2)) revogf] A010708 10.2009 [(3*f(x)+41)*(f(x)*x^2-f(x)+10*x+3) ogf] A010708 10.8286 [{a(n+2)-a(n),a(0)=3,a(1)=10} ogf] A010708 16.7586 [-(10*x+3)/(x-1)/(x+1) ogf] A010708 18.5703 [-2*(5+3*x+5*x^2)/(x-1)/(10*x+3)/(x+1) lgdogf] A010708 19.0862 [1/2/(10+x)*(-3+(9+40*x+4*x^2)^(1/2)) revogf] A010709 121.585 [-1/(x-1) lgdogf] A010709 138.954 [x/(4+x) revogf] A010709 19.0633 [{a(n+1)-a(n),a(0)=4} ogf] A010709 24.1779 [-f(x)*x+f(x)-4 ogf] A010709 39.6517 [-4/(x-1) ogf] A010710 10.8222 [(8*f(x)-7)*(f(x)*x^2-f(x)+5*x+4) ogf] A010710 11.3294 [{a(n+2)-a(n),a(0)=4,a(1)=5} ogf] A010710 17.6850 [-(5*x+4)/(x-1)/(x+1) ogf] A010710 20.2145 [-(5+8*x+5*x^2)/(-1+x)/(5*x+4)/(x+1) lgdogf] A010710 23.5835 [(-2+((4+x)*(x+1))^(1/2))/(5+x) revogf] A010711 10.8222 [(2*f(x)+1)*(f(x)*x^2-f(x)+6*x+4) ogf] A010711 11.3294 [{a(n+2)-a(n),a(0)=4,a(1)=6} ogf] A010711 17.6850 [-2*(3*x+2)/(x-1)/(x+1) ogf] A010711 20.2145 [-(3+4*x+3*x^2)/(-1+x)/(3*x+2)/(x+1) lgdogf] A010711 25.2681 [(-2+(4+6*x+x^2)^(1/2))/(6+x) revogf] A010712 10.663 [(8*f(x)+17)*(f(x)*x^2-f(x)+7*x+4) ogf] A010712 11.3294 [{a(n+2)-a(n),a(0)=4,a(1)=7} ogf] A010712 17.6850 [-(7*x+4)/(x-1)/(x+1) ogf] A010712 20.2145 [-(7+8*x+7*x^2)/(-1+x)/(7*x+4)/(x+1) lgdogf] A010712 25.2681 [(-2+(4+7*x+x^2)^(1/2))/(7+x) revogf] A010713 11.3294 [{a(n+2)-a(n),a(0)=4,a(1)=8} ogf] A010713 16.113 [f(x)*x^2-f(x)+8*x+4 ogf] A010713 17.6850 [-4*(2*x+1)/(x-1)/(x+1) ogf] A010713 21.4396 [-2*(x^2+x+1)/(-1+x)/(2*x+1)/(x+1) lgdogf] A010713 25.2681 [(-2+(4+8*x+x^2)^(1/2))/(8+x) revogf] A010714 10.663 [(8*f(x)+49)*(f(x)*x^2-f(x)+9*x+4) ogf] A010714 11.3294 [{a(n+2)-a(n),a(0)=4,a(1)=9} ogf] A010714 17.6850 [-(9*x+4)/(x-1)/(x+1) ogf] A010714 20.2145 [-(9+8*x+9*x^2)/(-1+x)/(9*x+4)/(x+1) lgdogf] A010714 25.2681 [(-2+(4+9*x+x^2)^(1/2))/(9+x) revogf] A010715 10.8286 [{a(n+2)-a(n),a(0)=4,a(1)=10} ogf] A010715 16.7586 [-2*(5*x+2)/(x-1)/(x+1) ogf] A010715 19.0862 [-ln(14)+ln(10+x+(16+x^2+20*x)^(1/2)) revegf] A010715 20.2089 [-(5+4*x+5*x^2)/(x-1)/(5*x+2)/(x+1) lgdogf] A010715 9.38483 [-(29*f(x)+509)*(f(x)*x^2-f(x)+10*x+4) ogf] A010716 101.072 [x/(5+x) revogf] A010716 13.9439 [{a(n+1)-a(n),a(0)=5} ogf] A010716 24.1779 [-f(x)*x+f(x)-5 ogf] A010716 29.0034 [-5/(x-1) ogf] A010716 78.6118 [-1/(-1+x) lgdogf] A010717 10.8222 [(5*f(x)-7)*(f(x)*x^2-f(x)+6*x+5) ogf] A010717 11.3294 [{a(n+2)-a(n),a(0)=5,a(1)=6} ogf] A010717 17.6850 [-(6*x+5)/(x-1)/(x+1) ogf] A010717 19.1218 [-2*(3+5*x+3*x^2)/(6*x+5)/(-1+x)/(x+1) lgdogf] A010717 19.6530 [1/2/(6+x)*(-5+(25+24*x+4*x^2)^(1/2)) revogf] A010718 10.663 [(10*f(x)-1)*(f(x)*x^2-f(x)+7*x+5) ogf] A010718 11.3294 [{a(n+2)-a(n),a(0)=5,a(1)=7} ogf] A010718 17.6850 [-(7*x+5)/(x-1)/(x+1) ogf] A010718 19.6530 [-(7+10*x+7*x^2)/(7*x+5)/(-1+x)/(x+1) lgdogf] A010718 19.6530 [1/2/(7+x)*(-5+(25+28*x+4*x^2)^(1/2)) revogf] A010719 10.8222 [(5*f(x)+7)*(f(x)*x^2-f(x)+8*x+5) ogf] A010719 11.3294 [{a(n+2)-a(n),a(0)=5,a(1)=8} ogf] A010719 17.6850 [-(8*x+5)/(x-1)/(x+1) ogf] A010719 19.1218 [-2*(4+5*x+4*x^2)/(8*x+5)/(-1+x)/(x+1) lgdogf] A010719 19.6530 [1/2/(8+x)*(-5+(25+32*x+4*x^2)^(1/2)) revogf] A010720 10.5085 [(10*f(x)+31)*(f(x)*x^2-f(x)+9*x+5) ogf] A010720 11.3294 [{a(n+2)-a(n),a(0)=5,a(1)=9} ogf] A010720 17.6850 [-(9*x+5)/(x-1)/(x+1) ogf] A010720 19.6530 [-(9+10*x+9*x^2)/(9*x+5)/(-1+x)/(x+1) lgdogf] A010720 19.6530 [1/2/(9+x)*(-5+(25+36*x+4*x^2)^(1/2)) revogf] A010721 10.8286 [{a(n+2)-a(n),a(0)=5,a(1)=10} ogf] A010721 16.7586 [-5*(2*x+1)/(x-1)/(x+1) ogf] A010721 18.5703 [1/2/(10+x)*(-5+(25+40*x+4*x^2)^(1/2)) revogf] A010721 21.4720 [-2*(x^2+x+1)/(x-1)/(2*x+1)/(x+1) lgdogf] A010721 9.64195 [-(f(x)+11)*(f(x)*x^2-f(x)+10*x+5) ogf] A010722 101.072 [x/(6+x) revogf] A010722 13.9439 [{a(n+1)-a(n),a(0)=6} ogf] A010722 17.685 [-f(x)*x+f(x)-6 ogf] A010722 29.0034 [-6/(x-1) ogf] A010722 78.6118 [-1/(-1+x) lgdogf] A010723 10.5085 [(12*f(x)-23)*(f(x)*x^2-f(x)+7*x+6) ogf] A010723 11.3294 [{a(n+2)-a(n),a(0)=6,a(1)=7} ogf] A010723 17.6850 [-(7*x+6)/(x-1)/(x+1) ogf] A010723 19.6530 [-(7+12*x+7*x^2)/(-1+x)/(7*x+6)/(x+1) lgdogf] A010723 25.2681 [(-3+(9+7*x+x^2)^(1/2))/(7+x) revogf] A010724 11.3294 [{a(n+2)-a(n),a(0)=6,a(1)=8} ogf] A010724 16.113 [f(x)*x^2-f(x)+8*x+6 ogf] A010724 17.6850 [-2*(4*x+3)/(x-1)/(x+1) ogf] A010724 19.1218 [-2*(2+3*x+2*x^2)/(-1+x)/(4*x+3)/(x+1) lgdogf] A010724 25.2681 [(-3+(9+8*x+x^2)^(1/2))/(8+x) revogf] A010725 11.3294 [{a(n+2)-a(n),a(0)=6,a(1)=9} ogf] A010725 16.113 [f(x)*x^2-f(x)+9*x+6 ogf] A010725 17.6850 [-3*(3*x+2)/(x-1)/(x+1) ogf] A010725 20.2145 [-(3+4*x+3*x^2)/(-1+x)/(3*x+2)/(x+1) lgdogf] A010725 25.2681 [(-3+(9+9*x+x^2)^(1/2))/(9+x) revogf] A010726 10.3509 [(3*f(x)+7)*(f(x)*x^2-f(x)+10*x+6) ogf] A010726 10.8286 [{a(n+2)-a(n),a(0)=6,a(1)=10} ogf] A010726 16.7586 [-2*(5*x+3)/(x-1)/(x+1) ogf] A010726 18.5703 [-ln(16)+ln(10+x+((x+18)*(x+2))^(1/2)) revegf] A010726 20.2089 [-(5+6*x+5*x^2)/(x-1)/(5*x+3)/(x+1) lgdogf] A010727 101.072 [x/(7+x) revogf] A010727 13.9439 [{a(n+1)-a(n),a(0)=7} ogf] A010727 17.685 [-f(x)*x+f(x)-7 ogf] A010727 29.0034 [-7/(x-1) ogf] A010727 78.6118 [-1/(-1+x) lgdogf] A010728 10.663 [(7*f(x)-17)*(f(x)*x^2-f(x)+8*x+7) ogf] A010728 11.3294 [{a(n+2)-a(n),a(0)=7,a(1)=8} ogf] A010728 17.6850 [-(8*x+7)/(x-1)/(x+1) ogf] A010728 19.1218 [-2*(4+7*x+4*x^2)/(-1+x)/(8*x+7)/(x+1) lgdogf] A010728 19.6530 [1/2/(8+x)*(-7+(49+32*x+4*x^2)^(1/2)) revogf] A010729 10.5085 [(14*f(x)-17)*(f(x)*x^2-f(x)+9*x+7) ogf] A010729 11.3294 [{a(n+2)-a(n),a(0)=7,a(1)=9} ogf] A010729 17.6850 [-(9*x+7)/(x-1)/(x+1) ogf] A010729 19.6530 [-(9+14*x+9*x^2)/(-1+x)/(9*x+7)/(x+1) lgdogf] A010729 19.6530 [1/2/(9+x)*(-7+(49+36*x+4*x^2)^(1/2)) revogf] A010730 10.3509 [(7*f(x)+1)*(f(x)*x^2-f(x)+10*x+7) ogf] A010730 10.8286 [{a(n+2)-a(n),a(0)=7,a(1)=10} ogf] A010730 16.7586 [-(10*x+7)/(x-1)/(x+1) ogf] A010730 18.5703 [1/2/(10+x)*(-7+(49+40*x+4*x^2)^(1/2)) revogf] A010730 18.5703 [-2*(5+7*x+5*x^2)/(x-1)/(10*x+7)/(x+1) lgdogf] A010731 101.072 [x/(8+x) revogf] A010731 13.9439 [{a(n+1)-a(n),a(0)=8} ogf] A010731 17.685 [-f(x)*x+f(x)-8 ogf] A010731 29.0034 [-8/(x-1) ogf] A010731 78.6118 [-1/(-1+x) lgdogf] A010732 10.5085 [(16*f(x)-47)*(f(x)*x^2-f(x)+9*x+8) ogf] A010732 11.3294 [{a(n+2)-a(n),a(0)=8,a(1)=9} ogf] A010732 17.6850 [-(9*x+8)/(x-1)/(x+1) ogf] A010732 19.6530 [-(9+16*x+9*x^2)/(-1+x)/(9*x+8)/(x+1) lgdogf] A010732 24.3968 [(-4+(16+9*x+x^2)^(1/2))/(9+x) revogf] A010733 10.3509 [(4*f(x)-7)*(f(x)*x^2-f(x)+10*x+8) ogf] A010733 10.8286 [{a(n+2)-a(n),a(0)=8,a(1)=10} ogf] A010733 16.7586 [-2*(5*x+4)/(x-1)/(x+1) ogf] A010733 18.5703 [-ln(18)+ln(10+x+((x+16)*(4+x))^(1/2)) revegf] A010733 20.2089 [-(5+8*x+5*x^2)/(x-1)/(5*x+4)/(x+1) lgdogf] A010734 101.072 [x/(9+x) revogf] A010734 13.9439 [{a(n+1)-a(n),a(0)=9} ogf] A010734 17.685 [-f(x)*x+f(x)-9 ogf] A010734 29.0034 [-9/(x-1) ogf] A010734 78.6118 [-1/(-1+x) lgdogf] A010735 10.2009 [(9*f(x)-31)*(f(x)*x^2-f(x)+10*x+9) ogf] A010735 10.8286 [{a(n+2)-a(n),a(0)=9,a(1)=10} ogf] A010735 16.7586 [-(10*x+9)/(x-1)/(x+1) ogf] A010735 18.5703 [1/2/(10+x)*(-9+(81+40*x+4*x^2)^(1/2)) revogf] A010735 18.5703 [-2*(5+9*x+5*x^2)/(x-1)/(10*x+9)/(x+1) lgdogf] A010736 12.0422 [-3/2*(x-1+(1-6*x+x^2)^(1/2))/(1-6*x+x^2)^(1/2)/x lgdogf] A010736 6.21462 [-8*f(x)^2*x^3+f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A010737 10.1144 [-(6+6*x+10*x^4-8*x^3-15*x^2)/(x-1)/(5*x^2-2*x-4)/(2*x^2-1) lgdogf] A010737 5.17977 [-(2*f(x)-17)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+5*x^2+f(x)-2*x-4) ogf] A010737 5.36477 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=4,a(1)=6,a(2)=9} ogf] A010737 9.85007 [-(5*x^2-2*x-4)/(x-1)/(2*x^2-1) ogf] A010761 12.5088 [-(2+8*x+6*x^5+17*x^3+14*x^4+13*x^2)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A010761 13.0579 [x*(2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A010762 5.56225 [-x^2*(x^7+x^6+x^5+2*x^4+3*x^3+x^2+2*x+1)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A010763 4.66925 [4*f(x)^2*x^4-9*f(x)^2*x^3+6*f(x)^2*x^2-4*f(x)*x^3-f(x)^2*x+f(x)*x^2+4*f(x)*x+x^2-f(x)+2*x ogf] A010764 7.99980 [(1+x-13*x^7-4*x^8+4*x^9+7*x^5-11*x^6+8*x^3+13*x^4+2*x^2+4*x^10)/(x-1)/(x+1)/(x^2+x+1)/(2*x^7-2*x^5-x^4+x^3+x^2-x-1) lgdogf] A010764 8.67903 [-x^3*(2*x^7-2*x^5-x^4+x^3+x^2-x-1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A010785 7.97304 [x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(10*x^9-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010790 6.66984 [{(n^2+5*n+6)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A010791 4.93655 [{(n^2+6*n+8)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A010792 7.09763 [{(n^2+7*n+10)*a(n+1)-a(n+2),a(0)=1,a(1)=4} ogf] A010793 4.40751 [{(n^2+8*n+12)*a(n+1)-a(n+2),a(0)=1,a(1)=5} ogf] A010794 6.40268 [{(n^2+9*n+14)*a(n+1)-a(n+2),a(0)=1,a(1)=6} ogf] A010795 4.63182 [{(n^2+10*n+16)*a(n+1)-a(n+2),a(0)=1,a(1)=7} ogf] A010796 6.20260 [{(n^2+7*n+12)*a(n+1)-a(n+2),a(0)=1,a(1)=6} ogf] A010797 3.93444 [{(-n^3-12*n^2-47*n-60)*a(n+1)+a(n+2),a(0)=1,a(1)=24} ogf] A010815 24.1162 [1/(x-1) ogf_with_Euler_transform] A010815 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*Pi^(1/4)*2^(5/8)/GAMMA(3/4) A010816 22.9248 [3/(x-1) ogf_with_Euler_transform] A010816 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/8*Pi)*Pi^(3/4)*2^(7/8)/GAMMA(3/4)^3 A010817 24.9368 [9/(x-1) ogf_with_Euler_transform] A010817 99.9999 Evaluated at exp(-Pi) 1/16*exp(3/8*Pi)*Pi^(9/4)*2^(5/8)/GAMMA(3/4)^9 A010818 26.3538 [10/(x-1) ogf_with_Euler_transform] A010818 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/12*Pi)*Pi^(5/2)*2^(1/4)/GAMMA(3/4)^10 A010819 28.0922 [11/(x-1) ogf_with_Euler_transform] A010819 99.9999 Evaluated at exp(-Pi) 1/32*exp(11/24*Pi)*Pi^(11/4)*2^(7/8)/GAMMA(3/4)^11 A010820 23.2652 [13/(x-1) ogf_with_Euler_transform] A010820 99.9999 Evaluated at exp(-Pi) 1/32*exp(13/24*Pi)*Pi^(13/4)*2^(1/8)/GAMMA(3/4)^13 A010821 22.3281 [14/(x-1) ogf_with_Euler_transform] A010821 99.9999 Evaluated at exp(-Pi) 1/64*exp(7/12*Pi)*Pi^(7/2)*2^(3/4)/GAMMA(3/4)^14 A010822 23.3775 [15/(x-1) ogf_with_Euler_transform] A010822 99.9999 Evaluated at exp(-Pi) 1/64*exp(5/8*Pi)*Pi^(15/4)*2^(3/8)/GAMMA(3/4)^15 A010823 22.6645 [17/(x-1) ogf_with_Euler_transform] A010823 99.9999 Evaluated at exp(-Pi) 1/128*exp(17/24*Pi)*Pi^(17/4)*2^(5/8)/GAMMA(3/4)^17 A010824 22.1720 [18/(x-1) ogf_with_Euler_transform] A010824 99.9999 Evaluated at exp(-Pi) 1/128*exp(3/4*Pi)*Pi^(9/2)*2^(1/4)/GAMMA(3/4)^18 A010825 21.9300 [19/(x-1) ogf_with_Euler_transform] A010825 99.9999 Evaluated at exp(-Pi) 1/256*exp(19/24*Pi)*Pi^(19/4)*2^(7/8)/GAMMA(3/4)^19 A010826 22.0568 [20/(x-1) ogf_with_Euler_transform] A010826 99.9999 Evaluated at exp(-Pi) 1/256*exp(5/6*Pi)*Pi^5*2^(1/2)/GAMMA(3/4)^20 A010827 21.9295 [21/(x-1) ogf_with_Euler_transform] A010827 99.9999 Evaluated at exp(-Pi) 1/256*exp(7/8*Pi)*Pi^(21/4)*2^(1/8)/GAMMA(3/4)^21 A010828 22.1802 [22/(x-1) ogf_with_Euler_transform] A010828 99.9999 Evaluated at exp(-Pi) 1/512*exp(11/12*Pi)*Pi^(11/2)*2^(3/4)/GAMMA(3/4)^22 A010829 21.6655 [23/(x-1) ogf_with_Euler_transform] A010829 99.9999 Evaluated at exp(-Pi) 1/512*exp(23/24*Pi)*Pi^(23/4)*2^(3/8)/GAMMA(3/4)^23 A010830 27.0421 [25/(x-1) ogf_with_Euler_transform] A010830 99.9999 Evaluated at exp(-Pi) 1/1024*exp(25/24*Pi)*Pi^(25/4)*2^(5/8)/GAMMA(3/4)^25 A010831 20.5351 [26/(x-1) ogf_with_Euler_transform] A010831 99.9999 Evaluated at exp(-Pi) 1/1024*exp(13/12*Pi)*Pi^(13/2)*2^(1/4)/GAMMA(3/4)^26 A010832 28.1955 [27/(x-1) ogf_with_Euler_transform] A010832 99.9999 Evaluated at exp(-Pi) 1/2048*exp(9/8*Pi)*Pi^(27/4)*2^(7/8)/GAMMA(3/4)^27 A010833 21.1043 [28/(x-1) ogf_with_Euler_transform] A010833 99.9999 Evaluated at exp(-Pi) 1/2048*exp(7/6*Pi)*Pi^7*2^(1/2)/GAMMA(3/4)^28 A010834 27.8879 [29/(x-1) ogf_with_Euler_transform] A010834 99.9999 Evaluated at exp(-Pi) 1/2048*exp(29/24*Pi)*Pi^(29/4)*2^(1/8)/GAMMA(3/4)^29 A010835 35.3965 [30/(x-1) ogf_with_Euler_transform] A010835 99.9999 Evaluated at exp(-Pi) 1/4096*exp(5/4*Pi)*Pi^(15/2)*2^(3/4)/GAMMA(3/4)^30 A010836 27.4432 [31/(x-1) ogf_with_Euler_transform] A010836 99.9999 Evaluated at exp(-Pi) 1/4096*exp(31/24*Pi)*Pi^(31/4)*2^(3/8)/GAMMA(3/4)^31 A010837 21.2806 [32/(x-1) ogf_with_Euler_transform] A010837 99.9999 Evaluated at exp(-Pi) 1/4096*exp(4/3*Pi)*Pi^8/GAMMA(3/4)^32 A010838 21.2005 [44/(x-1) ogf_with_Euler_transform] A010838 99.9999 Evaluated at exp(-Pi) 1/131072*exp(11/6*Pi)*Pi^11*2^(1/2)/GAMMA(3/4)^44 A010839 21.0641 [48/(x-1) ogf_with_Euler_transform] A010839 99.9999 Evaluated at exp(-Pi) 1/262144*exp(2*Pi)*Pi^12/GAMMA(3/4)^48 A010840 20.3940 [40/(x-1) ogf_with_Euler_transform] A010840 99.9999 Evaluated at exp(-Pi) 1/32768*exp(5/3*Pi)*Pi^10/GAMMA(3/4)^40 A010841 25.6942 [64/(x-1) ogf_with_Euler_transform] A010841 99.9999 Evaluated at exp(-Pi) 1/16777216*exp(8/3*Pi)*Pi^16/GAMMA(3/4)^64 A010842 32.0719 [-3+2*x+(1-x)*f(x) lgdegf] A010842 5.24332 [{(-2*n-4)*a(n+1)+(n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A010843 37.6720 [2-3*x+(1-x)*f(x) lgdegf] A010843 4.78375 [{(-3*n-6)*a(n+1)-a(n+2)*n+a(n+3),a(0)=1,a(1)=-2,a(2)=5} ogf] A010844 27.3825 [-3+2*x+(1-2*x)*f(x) lgdegf] A010844 3.93947 [{(-2*n-4)*a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=13} ogf] A010845 27.1392 [-4+3*x+(1-3*x)*f(x) lgdegf] A010845 3.87483 [{(3*n+6)*a(n+1)+(-3*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=25} ogf] A010849 12.9017 [-2*(x-1+(x^2+1-6*x)^(1/2))/x/(x^2+1-6*x)^(1/2) lgdogf] A010849 5.31442 [-16*f(x)^2*x^4+f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A010850 101.229 [x/(11+x) revogf] A010850 15.5949 [{a(n+1)-a(n),a(0)=11} ogf] A010850 19.6793 [-f(x)*x+f(x)-11 ogf] A010850 31.7896 [-11/(x-1) ogf] A010850 89.9813 [-1/(-1+x) lgdogf] A010851 12.4185 [{a(n+1)-a(n),a(0)=12} ogf] A010851 19.6793 [-f(x)*x+f(x)-12 ogf] A010851 25.3147 [-12/(x-1) ogf] A010851 40.1391 [-ln(12)+ln(12+x) revegf] A010851 71.3584 [-1/(-1+x) lgdogf] A010852 12.4185 [{a(n+1)-a(n),a(0)=13} ogf] A010852 15.671 [-f(x)*x+f(x)-13 ogf] A010852 25.3147 [-13/(x-1) ogf] A010852 40.1391 [-ln(13)+ln(13+x) revegf] A010852 71.3584 [-1/(-1+x) lgdogf] A010853 12.4185 [{a(n+1)-a(n),a(0)=14} ogf] A010853 15.671 [-f(x)*x+f(x)-14 ogf] A010853 25.3147 [-14/(x-1) ogf] A010853 40.1391 [-ln(14)+ln(14+x) revegf] A010853 71.3584 [-1/(-1+x) lgdogf] A010854 12.4185 [{a(n+1)-a(n),a(0)=15} ogf] A010854 15.671 [-f(x)*x+f(x)-15 ogf] A010854 25.3147 [-15/(x-1) ogf] A010854 40.1391 [-ln(15)+ln(15+x) revegf] A010854 71.3584 [-1/(-1+x) lgdogf] A010855 12.4185 [{a(n+1)-a(n),a(0)=16} ogf] A010855 15.671 [-f(x)*x+f(x)-16 ogf] A010855 25.3147 [-16/(x-1) ogf] A010855 37.7780 [-4*ln(2)+ln(x+16) revegf] A010855 71.3584 [-1/(-1+x) lgdogf] A010856 12.4185 [{a(n+1)-a(n),a(0)=17} ogf] A010856 15.671 [-f(x)*x+f(x)-17 ogf] A010856 25.3147 [-17/(x-1) ogf] A010856 40.1391 [-ln(17)+ln(17+x) revegf] A010856 71.3584 [-1/(-1+x) lgdogf] A010857 12.4185 [{a(n+1)-a(n),a(0)=18} ogf] A010857 15.671 [-f(x)*x+f(x)-18 ogf] A010857 25.3147 [-18/(x-1) ogf] A010857 40.1391 [-ln(18)+ln(x+18) revegf] A010857 71.3584 [-1/(-1+x) lgdogf] A010858 12.4185 [{a(n+1)-a(n),a(0)=19} ogf] A010858 15.671 [-f(x)*x+f(x)-19 ogf] A010858 25.3147 [-19/(x-1) ogf] A010858 40.1391 [-ln(19)+ln(19+x) revegf] A010858 71.3584 [-1/(-1+x) lgdogf] A010859 12.4185 [{a(n+1)-a(n),a(0)=20} ogf] A010859 15.671 [-f(x)*x+f(x)-20 ogf] A010859 25.3147 [-20/(x-1) ogf] A010859 40.1391 [-ln(20)+ln(20+x) revegf] A010859 71.3584 [-1/(-1+x) lgdogf] A010860 12.4185 [{a(n+1)-a(n),a(0)=21} ogf] A010860 15.671 [-f(x)*x+f(x)-21 ogf] A010860 25.3147 [-21/(x-1) ogf] A010860 40.1391 [-ln(21)+ln(21+x) revegf] A010860 71.3584 [-1/(-1+x) lgdogf] A010861 12.4185 [{a(n+1)-a(n),a(0)=22} ogf] A010861 15.671 [-f(x)*x+f(x)-22 ogf] A010861 25.3147 [-22/(x-1) ogf] A010861 40.1391 [-ln(22)+ln(22+x) revegf] A010861 71.3584 [-1/(-1+x) lgdogf] A010862 12.4185 [{a(n+1)-a(n),a(0)=23} ogf] A010862 15.671 [-f(x)*x+f(x)-23 ogf] A010862 25.3147 [-23/(x-1) ogf] A010862 40.1391 [-ln(23)+ln(23+x) revegf] A010862 71.3584 [-1/(-1+x) lgdogf] A010863 12.4185 [{a(n+1)-a(n),a(0)=24} ogf] A010863 15.671 [-f(x)*x+f(x)-24 ogf] A010863 25.3147 [-24/(x-1) ogf] A010863 40.1391 [-ln(24)+ln(24+x) revegf] A010863 71.3584 [-1/(-1+x) lgdogf] A010864 12.4185 [{a(n+1)-a(n),a(0)=25} ogf] A010864 15.671 [-f(x)*x+f(x)-25 ogf] A010864 25.3147 [-25/(x-1) ogf] A010864 37.7780 [-2*ln(5)+ln(25+x) revegf] A010864 71.3584 [-1/(-1+x) lgdogf] A010865 12.4185 [{a(n+1)-a(n),a(0)=26} ogf] A010865 15.671 [-f(x)*x+f(x)-26 ogf] A010865 25.3147 [-26/(x-1) ogf] A010865 40.1391 [-ln(26)+ln(26+x) revegf] A010865 71.3584 [-1/(-1+x) lgdogf] A010866 12.4185 [{a(n+1)-a(n),a(0)=27} ogf] A010866 15.671 [-f(x)*x+f(x)-27 ogf] A010866 25.3147 [-27/(x-1) ogf] A010866 37.7780 [-3*ln(3)+ln(27+x) revegf] A010866 71.3584 [-1/(-1+x) lgdogf] A010867 12.4185 [{a(n+1)-a(n),a(0)=28} ogf] A010867 15.671 [-f(x)*x+f(x)-28 ogf] A010867 25.3147 [-28/(x-1) ogf] A010867 40.1391 [-ln(28)+ln(28+x) revegf] A010867 71.3584 [-1/(-1+x) lgdogf] A010868 12.4185 [{a(n+1)-a(n),a(0)=29} ogf] A010868 15.671 [-f(x)*x+f(x)-29 ogf] A010868 25.3147 [-29/(x-1) ogf] A010868 40.1391 [-ln(29)+ln(29+x) revegf] A010868 71.3584 [-1/(-1+x) lgdogf] A010869 12.4185 [{a(n+1)-a(n),a(0)=30} ogf] A010869 15.671 [-f(x)*x+f(x)-30 ogf] A010869 25.3147 [-30/(x-1) ogf] A010869 40.1391 [-ln(30)+ln(30+x) revegf] A010869 71.3584 [-1/(-1+x) lgdogf] A010870 12.4185 [{a(n+1)-a(n),a(0)=31} ogf] A010870 15.671 [-f(x)*x+f(x)-31 ogf] A010870 25.3147 [-31/(x-1) ogf] A010870 40.1391 [-ln(31)+ln(31+x) revegf] A010870 71.3584 [-1/(-1+x) lgdogf] A010871 12.4185 [{a(n+1)-a(n),a(0)=32} ogf] A010871 15.671 [-f(x)*x+f(x)-32 ogf] A010871 25.3147 [-32/(x-1) ogf] A010871 37.7780 [-5*ln(2)+ln(32+x) revegf] A010871 71.3584 [-1/(-1+x) lgdogf] A010872 11.0454 [{-a(n+3)+a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A010872 16.9062 [-f(x)*x^3-2*x^2+f(x)-x ogf] A010872 18.4090 [-x*(2*x+1)/(x-1)/(x^2+x+1) ogf] A010872 24.3169 [-(2+4*x^3+3*x^2)/(x-1)/(2*x+1)/(x^2+x+1) lgdogf] A010873 11.2303 [-2*(1+3*x+3*x^5+3*x^4+2*x^3)/(-1+x)/(x+1)/(x^2+1)/(3*x^2+2*x+1) lgdogf] A010873 11.9396 [-x*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010873 7.44471 [-(34*f(x)+95)*(f(x)*x^4+3*x^3+2*x^2-f(x)+x) ogf] A010874 10.6620 [-x*(4*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010874 8.42270 [-(2+6*x+9*x^6+8*x^5+8*x^7+5*x^4+12*x^2)/(-1+x)/(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A010875 13.7341 [-x*(5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010875 6.31702 [-2*(1+3*x+6*x^8+5*x^6+3*x^5+6*x^7+10*x^3+5*x^9+6*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A010876 9.65244 [-x*(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010877 7.96171 [-x*(7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010878 10.0586 [-x*(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010879 6.72092 [-x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010880 6.14607 [-x*(10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010881 5.59150 [-x*(11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A010882 12.548 [-(f(x)-2)*(f(x)*x^3+3*x^2-f(x)+2*x+1) ogf] A010882 13.0433 [{a(n+3)-a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A010882 17.3692 [-(2+6*x+3*x^4+4*x^3+3*x^2)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A010882 20.2305 [-(3*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A010883 12.7208 [-(4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A010883 8.43121 [(49*f(x)+100)*(f(x)*x^4+4*x^3+3*x^2-f(x)+2*x+1) ogf] A010883 8.73465 [-2*(1+3*x+2*x^6+3*x^5+3*x^4+2*x^3+6*x^2)/(-1+x)/(x+1)/(x^2+1)/(4*x^3+3*x^2+2*x+1) lgdogf] A010884 11.1551 [-(5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A010884 6.86899 [-(2+6*x+5*x^8+9*x^6+8*x^5+8*x^7+5*x^4+20*x^3+12*x^2)/(-1+x)/(x^4+x^3+x^2+x+1)/(5*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A010885 5.35990 [-2*(1+3*x+6*x^8+5*x^6+3*x^5+6*x^7+15*x^4+10*x^3+5*x^9+3*x^10+6*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A010885 9.93266 [-(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A010886 8.95165 [-(7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A010887 8.14701 [-(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A010888 9.76871 [-x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A010889 9.27337 [-(10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A010891 10.4929 [1/(x^4+x^3+x^2+x+1) ogf] A010891 20.5079 [[x^4-1] ogf_with_Euler_transform] A010891 4.24918 [-(f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x+f(x)-1) ogf] A010892 24.1944 [x^5-x^2-x+1 ogf_with_Euler_transform] A010892 24.2461 [1/(x^2-x+1) ogf] A010892 9.41318 [-(f(x)-2)*(f(x)*x^2-f(x)*x+f(x)-1) ogf] A010892 9.75756 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1} ogf] A010894 11.1423 [[x^19] ogf_with_Euler_transform] A010901 12.8809 [-(2*x^2-x+4)/(x^3-x^2+2*x-1) ogf] A010901 14.2872 [-(7-4*x+2*x^4-2*x^3+9*x^2)/(2*x^2-x+4)/(x^3-x^2+2*x-1) lgdogf] A010901 6.95338 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=4,a(1)=7,a(2)=12} ogf] A010901 7.07867 [(f(x)+2)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+2*x^2-f(x)-x+4) ogf] A010903 12.0397 [-1/2*(-3-5*x+((1+x)*(13*x+9))^(1/2))/(2+3*x) revogf] A010903 13.9407 [-(13-18*x+6*x^2)/(2*x-3)/(3*x^2-5*x+1) lgdogf] A010903 15.9609 [-(2*x-3)/(3*x^2-5*x+1) ogf] A010903 8.25563 [(47*f(x)+28)*(3*f(x)*x^2-5*f(x)*x+f(x)+2*x-3) ogf] A010903 8.65348 [{-a(n+2)+5*a(n+1)-3*a(n),a(0)=3,a(1)=13} ogf] A010904 12.5517 [-(x^2-2*x+4)/(x^3-2*x^2+4*x-1) ogf] A010904 6.60045 [-(10*f(x)+9)*(f(x)*x^3-2*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+4) ogf] A010904 6.71626 [{a(n+3)-4*a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=14,a(2)=49} ogf] A010905 14.8704 [-(-2-2*x+((3*x+4)*(1+x))^(1/2))/(1+x) revogf] A010905 16.3090 [-(x-4)/(x^2-4*x+1) ogf] A010905 18.3402 [-(x-3)*(x-5)/(x-4)/(x^2-4*x+1) lgdogf] A010905 8.43567 [(52*f(x)+17)*(f(x)*x^2-4*f(x)*x+f(x)+x-4) ogf] A010905 8.84223 [{-a(n+2)+4*a(n+1)-a(n),a(0)=4,a(1)=15} ogf] A010907 13.7616 [-(x^3+2*x^2+3*x+4)/(x^4+2*x^3+3*x^2+4*x-1) ogf] A010907 6.13583 [-(19+28*x+x^6+4*x^5+10*x^4+20*x^3+28*x^2)/(x^3+2*x^2+3*x+4)/(x^4+2*x^3+3*x^2+4*x-1) lgdogf] A010907 7.73461 [(6*f(x)-1)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+x^3+4*f(x)*x+2*x^2-f(x)+3*x+4) ogf] A010908 13.6728 [-(-2-3*x+((1+x)*(5*x+4))^(1/2))/(3+4*x) revogf] A010908 14.0326 [-(6*x-7)*(2*x-3)/(3*x-4)/(4*x^2-6*x+1) lgdogf] A010908 16.2349 [-(3*x-4)/(4*x^2-6*x+1) ogf] A010908 8.39736 [(94*f(x)+65)*(4*f(x)*x^2-6*f(x)*x+f(x)+3*x-4) ogf] A010908 8.80204 [{-a(n+2)+6*a(n+1)-4*a(n),a(0)=4,a(1)=21} ogf] A010909 11.7561 [-(2*x^2+x+4)/(3*x^3+x^2+6*x-1) ogf] A010909 11.9450 [-(25+12*x+6*x^4+6*x^3+25*x^2)/(3*x^3+x^2+6*x-1)/(2*x^2+x+4) lgdogf] A010909 6.12925 [-(80*f(x)-23)*(3*f(x)*x^3+f(x)*x^2+6*f(x)*x+2*x^2-f(x)+x+4) ogf] A010909 6.23583 [{a(n+3)-6*a(n+2)-a(n+1)-3*a(n),a(0)=4,a(1)=25,a(2)=156} ogf] A010910 16.6229 [-(3*x+4)/(5*x^2+6*x-1) ogf] A010910 18.3917 [(-2-3*x+((7*x+4)*(2*x+1))^(1/2))/(3+5*x) revogf] A010910 18.8633 [-(27+40*x+15*x^2)/(3*x+4)/(5*x^2+6*x-1) lgdogf] A010910 8.50037 [(202*f(x)-79)*(5*f(x)*x^2+6*f(x)*x-f(x)+3*x+4) ogf] A010910 9.01243 [{a(n+2)-6*a(n+1)-5*a(n),a(0)=4,a(1)=27} ogf] A010911 10.2316 [-(11+14*x+10*x^2+4*x^3+x^4)/(x^2+2*x+3)/(x^3+2*x^2+3*x-1) lgdogf] A010911 12.6051 [-(x^2+2*x+3)/(x^3+2*x^2+3*x-1) ogf] A010911 6.62854 [-(33*f(x)-4)*(f(x)*x^3+2*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+3) ogf] A010911 6.74484 [{-a(n+3)+3*a(n+2)+2*a(n+1)+a(n),a(0)=3,a(1)=11,a(2)=40} ogf] A010912 12.3224 [-(x^2-2*x+3)/(x^3-2*x^2+3*x-1) ogf] A010912 13.1796 [-(7-10*x+x^4-4*x^3+10*x^2)/(x^2-2*x+3)/(x^3-2*x^2+3*x-1) lgdogf] A010912 6.6519 [(25*f(x)+12)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+3) ogf] A010912 6.65190 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=16} ogf] A010913 11.7875 [-1/2*(-3-6*x+((14*x+9)*(2*x+1))^(1/2))/(2*x+1) revogf] A010913 15.0619 [-(17-12*x+2*x^2)/(x-3)/(2*x^2-6*x+1) lgdogf] A010913 16.6529 [-(x-3)/(2*x^2-6*x+1) ogf] A010913 8.6136 [(90*f(x)+19)*(2*f(x)*x^2-6*f(x)*x+f(x)+x-3) ogf] A010913 9.02870 [{-a(n+2)+6*a(n+1)-2*a(n),a(0)=3,a(1)=17} ogf] A010914 16.8697 [-(3*x-5)/(2*x^2-4*x+1) ogf] A010914 17.3513 [-1/2*(-5-4*x+(25+28*x+8*x^2)^(1/2))/(3+2*x) revogf] A010914 19.6343 [-(17-20*x+6*x^2)/(3*x-5)/(2*x^2-4*x+1) lgdogf] A010914 8.34216 [-(48*f(x)+49)*(2*f(x)*x^2-4*f(x)*x+f(x)+3*x-5) ogf] A010914 9.14623 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=5,a(1)=17} ogf] A010915 5.63531 [-(16-10*x+6*x^6-2*x^5+6*x^7+9*x^4+14*x^3+2*x^8+8*x^2)/(2*x^4+3*x^3+x^2-2*x+6)/(x^5+x^4-x^2+3*x-1) lgdogf] A010915 8.97734 [-(2*x^4+3*x^3+x^2-2*x+6)/(x^5+x^4-x^2+3*x-1) ogf] A010917 6.83580 [-(6*x^11+5*x^10-x^8-6*x-5)/(5*x^12+3*x^11-x^10-x^9-5*x^2-3*x+1) ogf] A010918 4.72212 [-(4039*f(x)-6043)*(6*f(x)*x^4+5*f(x)*x^3-7*f(x)*x^2+7*x^3-6*f(x)*x+7*x^2+f(x)-7*x-8) ogf] A010918 5.98489 [-(55+98*x+42*x^6-50*x^2-178*x^3-42*x^4+84*x^5)/(7*x^3+7*x^2-7*x-8)/(6*x^4+5*x^3-7*x^2-6*x+1) lgdogf] A010918 9.01495 [-(7*x^3+7*x^2-7*x-8)/(6*x^4+5*x^3-7*x^2-6*x+1) ogf] A010919 9.47810 [-(x^4+x^2-x-4)/(x^5+x^3-x^2-3*x+1) ogf] A010920 12.0397 [-1/2*(-3-5*x+((1+x)*(13*x+9))^(1/2))/(2+3*x) revogf] A010920 12.0428 [-(2*x-3)/(3*x^2-5*x+1) ogf] A010920 13.9407 [-(13-18*x+6*x^2)/(2*x-3)/(3*x^2-5*x+1) lgdogf] A010920 6.22902 [(47*f(x)+28)*(3*f(x)*x^2-5*f(x)*x+f(x)+2*x-3) ogf] A010920 6.52922 [{-a(n+2)+5*a(n+1)-3*a(n),a(0)=3,a(1)=13} ogf] A010924 13.7653 [(-4-3*x+((15*x+16)*(1+x))^(1/2))/(7+6*x) revogf] A010924 14.1182 [-(55+96*x+42*x^2)/(7*x+8)/(6*x^2+6*x-1) lgdogf] A010924 15.4256 [-(7*x+8)/(6*x^2+6*x-1) ogf] A010924 7.79945 [(426*f(x)-383)*(6*f(x)*x^2+6*f(x)*x-f(x)+7*x+8) ogf] A010924 8.36326 [{a(n+2)-6*a(n+1)-6*a(n),a(0)=8,a(1)=55} ogf] A010926 10.4908 [10/(x+1) lgdogf] A010927 12.1139 [11/(x+1) lgdogf] A010928 13.7866 [12/(x+1) lgdogf] A010929 16.8240 [13/(x+1) lgdogf] A010930 11.2191 [-14+(x+1)*f(x) lgdogf] A010931 12.8727 [-15+(1+x)*f(x) lgdogf] A010932 14.7732 [-16+(1+x)*f(x) lgdogf] A010933 10.4706 [[17-17*x] ogf_with_Euler_transform] A010933 16.7229 [-17+(1+x)*f(x) lgdogf] A010934 11.4358 [[18-18*x] ogf_with_Euler_transform] A010934 18.2976 [-18+(1+x)*f(x) lgdogf] A010935 12.6739 [[19-19*x] ogf_with_Euler_transform] A010935 20.3282 [-19+(1+x)*f(x) lgdogf] A010936 14.5879 [[20-20*x] ogf_with_Euler_transform] A010936 23.4863 [-20+(1+x)*f(x) lgdogf] A010936 3.21685 [{(-n-2)*a(n+2)+(19-n)*a(n+1),a(0)=1,a(1)=20} ogf] A010937 16.0168 [[21-21*x] ogf_with_Euler_transform] A010937 25.8323 [-21+(1+x)*f(x) lgdogf] A010937 3.52845 [{(-n-2)*a(n+2)+(20-n)*a(n+1),a(0)=1,a(1)=21} ogf] A010938 17.2023 [[22-22*x] ogf_with_Euler_transform] A010938 27.7715 [-22+(1+x)*f(x) lgdogf] A010938 3.78625 [{(-n-2)*a(n+2)+(21-n)*a(n+1),a(0)=1,a(1)=22} ogf] A010939 19.2219 [[23-23*x] ogf_with_Euler_transform] A010939 31.0995 [-23+(1+x)*f(x) lgdogf] A010939 4.22741 [{(-n-2)*a(n+2)+(22-n)*a(n+1),a(0)=1,a(1)=23} ogf] A010940 21.1410 [[24-24*x] ogf_with_Euler_transform] A010940 34.2581 [-24+(1+x)*f(x) lgdogf] A010940 4.64612 [{(-n-2)*a(n+2)+(23-n)*a(n+1),a(0)=1,a(1)=24} ogf] A010941 22.8120 [[25-25*x] ogf_with_Euler_transform] A010941 37.0027 [-25+(1+x)*f(x) lgdogf] A010941 5.01009 [{(-n-2)*a(n+2)+(24-n)*a(n+1),a(0)=1,a(1)=25} ogf] A010942 24.3649 [[26-26*x] ogf_with_Euler_transform] A010942 39.5501 [-26+(1+x)*f(x) lgdogf] A010942 5.34796 [{(-n-2)*a(n+2)+(25-n)*a(n+1),a(0)=1,a(1)=26} ogf] A010943 26.5100 [[27-27*x] ogf_with_Euler_transform] A010943 43.0806 [-27+(1+x)*f(x) lgdogf] A010943 5.81563 [{(-n-2)*a(n+2)+(26-n)*a(n+1),a(0)=1,a(1)=27} ogf] A010944 28.6859 [[28-28*x] ogf_with_Euler_transform] A010944 46.6612 [-28+(1+x)*f(x) lgdogf] A010944 6.28986 [{(-n-2)*a(n+2)+(27-n)*a(n+1),a(0)=1,a(1)=28} ogf] A010945 30.8913 [[29-29*x] ogf_with_Euler_transform] A010945 50.2892 [-29+(1+x)*f(x) lgdogf] A010945 6.77031 [{(-n-2)*a(n+2)+(28-n)*a(n+1),a(0)=1,a(1)=29} ogf] A010946 33.2726 [[30-30*x] ogf_with_Euler_transform] A010946 54.2080 [-30+(1+x)*f(x) lgdogf] A010946 7.28913 [{(-n-2)*a(n+2)+(29-n)*a(n+1),a(0)=1,a(1)=30} ogf] A010947 33.9658 [[31-31*x] ogf_with_Euler_transform] A010947 55.3910 [-31+(1+x)*f(x) lgdogf] A010947 7.44413 [{(-n-2)*a(n+2)+(30-n)*a(n+1),a(0)=1,a(1)=31} ogf] A010948 33.1017 [[32-32*x] ogf_with_Euler_transform] A010948 54.0292 [-32+(1+x)*f(x) lgdogf] A010948 7.26168 [{(-n-2)*a(n+2)+(31-n)*a(n+1),a(0)=1,a(1)=32} ogf] A010949 31.3491 [[33-33*x] ogf_with_Euler_transform] A010949 51.1987 [-33+(1+x)*f(x) lgdogf] A010949 6.88504 [{(-n-2)*a(n+2)+(32-n)*a(n+1),a(0)=1,a(1)=33} ogf] A010950 32.1888 [[34-34*x] ogf_with_Euler_transform] A010950 52.5950 [-34+(1+x)*f(x) lgdogf] A010950 7.06946 [{(-n-2)*a(n+2)+(33-n)*a(n+1),a(0)=1,a(1)=34} ogf] A010951 30.9514 [[35-35*x] ogf_with_Euler_transform] A010951 50.5824 [-35+(1+x)*f(x) lgdogf] A010951 6.80216 [{(-n-2)*a(n+2)+(34-n)*a(n+1),a(0)=1,a(1)=35} ogf] A010952 31.3660 [[36-36*x] ogf_with_Euler_transform] A010952 51.2722 [-36+(1+x)*f(x) lgdogf] A010952 6.89326 [{(-n-2)*a(n+2)+(35-n)*a(n+1),a(0)=1,a(1)=36} ogf] A010953 30.5370 [[37-37*x] ogf_with_Euler_transform] A010953 49.9408 [-37+(1+x)*f(x) lgdogf] A010953 6.71588 [{(-n-2)*a(n+2)+(36-n)*a(n+1),a(0)=1,a(1)=37} ogf] A010954 31.0823 [[38-38*x] ogf_with_Euler_transform] A010954 50.8488 [-38+(1+x)*f(x) lgdogf] A010954 6.83580 [{(-n-2)*a(n+2)+(37-n)*a(n+1),a(0)=1,a(1)=38} ogf] A010955 31.2186 [[39-39*x] ogf_with_Euler_transform] A010955 51.0758 [-39+(1+x)*f(x) lgdogf] A010955 6.86578 [{(-n-2)*a(n+2)+(38-n)*a(n+1),a(0)=1,a(1)=39} ogf] A010956 29.9697 [[40-40*x] ogf_with_Euler_transform] A010956 49.0480 [-40+(1+x)*f(x) lgdogf] A010956 6.59636 [{(-n-2)*a(n+2)+(39-n)*a(n+1),a(0)=1,a(1)=40} ogf] A010957 30.6416 [[41-41*x] ogf_with_Euler_transform] A010957 50.1678 [-41+(1+x)*f(x) lgdogf] A010957 6.74426 [{(-n-2)*a(n+2)+(40-n)*a(n+1),a(0)=1,a(1)=41} ogf] A010958 30.9104 [[42-42*x] ogf_with_Euler_transform] A010958 50.6158 [-42+(1+x)*f(x) lgdogf] A010958 6.80342 [{(-n-2)*a(n+2)+(41-n)*a(n+1),a(0)=1,a(1)=42} ogf] A010959 31.3136 [[43-43*x] ogf_with_Euler_transform] A010959 51.2877 [-43+(1+x)*f(x) lgdogf] A010959 6.89216 [{(-n-2)*a(n+2)+(42-n)*a(n+1),a(0)=1,a(1)=43} ogf] A010960 29.6510 [[44-44*x] ogf_with_Euler_transform] A010960 48.5735 [-44+(1+x)*f(x) lgdogf] A010960 6.53201 [{(-n-2)*a(n+2)+(43-n)*a(n+1),a(0)=1,a(1)=44} ogf] A010961 29.9157 [[45-45*x] ogf_with_Euler_transform] A010961 49.0151 [-45+(1+x)*f(x) lgdogf] A010961 6.59033 [{(-n-2)*a(n+2)+(44-n)*a(n+1),a(0)=1,a(1)=45} ogf] A010962 30.3128 [[46-46*x] ogf_with_Euler_transform] A010962 49.6774 [-46+(1+x)*f(x) lgdogf] A010962 6.67781 [{(-n-2)*a(n+2)+(45-n)*a(n+1),a(0)=1,a(1)=46} ogf] A010963 28.2640 [[47-47*x] ogf_with_Euler_transform] A010963 46.3202 [-47+(1+x)*f(x) lgdogf] A010963 6.23265 [{(-n-2)*a(n+2)+(46-n)*a(n+1),a(0)=1,a(1)=47} ogf] A010964 28.6548 [[48-48*x] ogf_with_Euler_transform] A010964 46.9726 [-48+(1+x)*f(x) lgdogf] A010964 6.31881 [{(-n-2)*a(n+2)+(47-n)*a(n+1),a(0)=1,a(1)=48} ogf] A010965 5.22044 [-1/(x-1)^13 ogf] A010965 54.5984 [-13+(1-x)*f(x) lgdogf] A010965 7.33817 [{(-n-2)*a(n+2)+(14+n)*a(n+1),a(0)=1,a(1)=13} ogf] A010966 53.5532 [-14+(1-x)*f(x) lgdogf] A010966 7.19881 [{(-n-2)*a(n+2)+(15+n)*a(n+1),a(0)=1,a(1)=14} ogf] A010967 55.2193 [-15+(1-x)*f(x) lgdogf] A010967 7.41886 [{(-n-2)*a(n+2)+(16+n)*a(n+1),a(0)=1,a(1)=15} ogf] A010968 53.4397 [-16+(1-x)*f(x) lgdogf] A010968 7.18244 [{(-n-2)*a(n+2)+(17+n)*a(n+1),a(0)=1,a(1)=16} ogf] A010969 55.0876 [-17+(1-x)*f(x) lgdogf] A010969 7.40009 [{(-n-2)*a(n+2)+(18+n)*a(n+1),a(0)=1,a(1)=17} ogf] A010970 53.0605 [-18+(1-x)*f(x) lgdogf] A010970 7.13093 [{(-n-2)*a(n+2)+(19+n)*a(n+1),a(0)=1,a(1)=18} ogf] A010971 54.2241 [-19+(1-x)*f(x) lgdogf] A010971 7.28462 [{(-n-2)*a(n+2)+(20+n)*a(n+1),a(0)=1,a(1)=19} ogf] A010972 51.2722 [-20+(1-x)*f(x) lgdogf] A010972 6.89326 [{(-n-2)*a(n+2)+(21+n)*a(n+1),a(0)=1,a(1)=20} ogf] A010973 52.6517 [-21+(1-x)*f(x) lgdogf] A010973 7.07546 [{(-n-2)*a(n+2)+(22+n)*a(n+1),a(0)=1,a(1)=21} ogf] A010974 54.0312 [-22+(1-x)*f(x) lgdogf] A010974 7.25766 [{(-n-2)*a(n+2)+(23+n)*a(n+1),a(0)=1,a(1)=22} ogf] A010975 50.8488 [-23+(1-x)*f(x) lgdogf] A010975 6.83580 [{(-n-2)*a(n+2)+(24+n)*a(n+1),a(0)=1,a(1)=23} ogf] A010976 51.0758 [-24+(1-x)*f(x) lgdogf] A010976 6.86578 [{(-n-2)*a(n+2)+(25+n)*a(n+1),a(0)=1,a(1)=24} ogf] A010977 52.6648 [-25+(1-x)*f(x) lgdogf] A010977 7.07566 [{(-n-2)*a(n+2)+(26+n)*a(n+1),a(0)=1,a(1)=25} ogf] A010978 53.5728 [-26+(1-x)*f(x) lgdogf] A010978 7.19558 [{(-n-2)*a(n+2)+(27+n)*a(n+1),a(0)=1,a(1)=26} ogf] A010979 49.9439 [-27+(1-x)*f(x) lgdogf] A010979 6.71468 [{(-n-2)*a(n+2)+(28+n)*a(n+1),a(0)=1,a(1)=27} ogf] A010980 50.6158 [-28+(1-x)*f(x) lgdogf] A010980 6.80342 [{(-n-2)*a(n+2)+(29+n)*a(n+1),a(0)=1,a(1)=28} ogf] A010981 51.5116 [-29+(1-x)*f(x) lgdogf] A010981 6.92175 [{(-n-2)*a(n+2)+(30+n)*a(n+1),a(0)=1,a(1)=29} ogf] A010982 51.9595 [-30+(1-x)*f(x) lgdogf] A010982 6.98091 [{(-n-2)*a(n+2)+(31+n)*a(n+1),a(0)=1,a(1)=30} ogf] A010983 52.8554 [-31+(1-x)*f(x) lgdogf] A010983 7.09923 [{(-n-2)*a(n+2)+(32+n)*a(n+1),a(0)=1,a(1)=31} ogf] A010984 49.2359 [-32+(1-x)*f(x) lgdogf] A010984 6.61949 [{(-n-2)*a(n+2)+(33+n)*a(n+1),a(0)=1,a(1)=32} ogf] A010985 49.4566 [-33+(1-x)*f(x) lgdogf] A010985 6.64865 [{(-n-2)*a(n+2)+(34+n)*a(n+1),a(0)=1,a(1)=33} ogf] A010986 49.8982 [-34+(1-x)*f(x) lgdogf] A010986 6.70697 [{(-n-2)*a(n+2)+(35+n)*a(n+1),a(0)=1,a(1)=34} ogf] A010987 50.7814 [-35+(1-x)*f(x) lgdogf] A010987 6.82361 [{(-n-2)*a(n+2)+(36+n)*a(n+1),a(0)=1,a(1)=35} ogf] A010988 51.0022 [-36+(1-x)*f(x) lgdogf] A010988 6.85277 [{(-n-2)*a(n+2)+(37+n)*a(n+1),a(0)=1,a(1)=36} ogf] A010989 51.2229 [-37+(1-x)*f(x) lgdogf] A010989 6.88193 [{(-n-2)*a(n+2)+(38+n)*a(n+1),a(0)=1,a(1)=37} ogf] A010990 52.3269 [-38+(1-x)*f(x) lgdogf] A010990 7.02775 [{(-n-2)*a(n+2)+(39+n)*a(n+1),a(0)=1,a(1)=38} ogf] A010991 52.7685 [-39+(1-x)*f(x) lgdogf] A010991 7.08607 [{(-n-2)*a(n+2)+(40+n)*a(n+1),a(0)=1,a(1)=39} ogf] A010992 48.4949 [-40+(1-x)*f(x) lgdogf] A010992 6.51987 [{(-n-2)*a(n+2)+(41+n)*a(n+1),a(0)=1,a(1)=40} ogf] A010993 49.3647 [-41+(1-x)*f(x) lgdogf] A010993 6.63475 [{(-n-2)*a(n+2)+(42+n)*a(n+1),a(0)=1,a(1)=41} ogf] A010994 49.7996 [-42+(1-x)*f(x) lgdogf] A010994 6.69220 [{(-n-2)*a(n+2)+(43+n)*a(n+1),a(0)=1,a(1)=42} ogf] A010995 49.7996 [-43+(1-x)*f(x) lgdogf] A010995 6.69220 [{(-n-2)*a(n+2)+(44+n)*a(n+1),a(0)=1,a(1)=43} ogf] A010996 50.4520 [-44+(1-x)*f(x) lgdogf] A010996 6.77837 [{(-n-2)*a(n+2)+(45+n)*a(n+1),a(0)=1,a(1)=44} ogf] A010997 51.3219 [-45+(1-x)*f(x) lgdogf] A010997 6.89325 [{(-n-2)*a(n+2)+(46+n)*a(n+1),a(0)=1,a(1)=45} ogf] A010998 51.3219 [-46+(1-x)*f(x) lgdogf] A010998 6.89325 [{(-n-2)*a(n+2)+(47+n)*a(n+1),a(0)=1,a(1)=46} ogf] A010999 51.9743 [-47+(1-x)*f(x) lgdogf] A010999 6.97942 [{(-n-2)*a(n+2)+(48+n)*a(n+1),a(0)=1,a(1)=47} ogf] A011000 52.1918 [-48+(1-x)*f(x) lgdogf] A011000 7.00814 [{(-n-2)*a(n+2)+(49+n)*a(n+1),a(0)=1,a(1)=48} ogf] A011001 47.7177 [-49+(1-x)*f(x) lgdogf] A011001 6.41539 [{(-n-2)*a(n+2)+(50+n)*a(n+1),a(0)=1,a(1)=49} ogf] A011195 15.2159 [-5*(7+14*x+3*x^2)/(x-1)/(5*x^2+15*x+4) lgdogf] A011195 4.01803 [{(12+4*n)*a(n+4)+(-13+11*n)*a(n+3)+(-80-10*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=4,a(2)=35,a(3)=140} ogf] A011195 9.75808 [-x*(5*x^2+15*x+4)/(x-1)^5 ogf] A011197 10.3719 [-(63+287*x+21*x^3+205*x^2)/(x-1)/(7*x^3+46*x^2+39*x+4) lgdogf] A011197 7.51591 [5*x*(7*x^3+46*x^2+39*x+4)/(x-1)^6 ogf] A011199 11.4763 [(15*x^2+20*x+1)/(x-1)^4 ogf] A011199 15.0567 [-6*(4+15*x+5*x^2)/(x-1)/(15*x^2+20*x+1) lgdogf] A011199 3.93633 [{(n+4)*a(n+4)+(33+19*n)*a(n+3)+(-100-5*n)*a(n+2)+(-45-15*n)*a(n+1),a(0)=1,a(1)=24,a(2)=105,a(3)=280} ogf] A011199 5.50554 [(126840168*f(x)+1962990571)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-15*x^2+f(x)-20*x-1) ogf] A011245 10.0601 [-30*(4+39*x+7*x^3+46*x^2)/(x-1)/(105*x^3+355*x^2+115*x+1) lgdogf] A011245 6.30600 [-(105*x^3+355*x^2+115*x+1)/(x-1)^5 ogf] A011270 34.0505 [x*(1-3*x+x^2)/(x-1)^2 revogf] A011270 7.66078 [-x^2*f(x)^3+f(x)^2*x^2+3*f(x)^2*x-2*f(x)*x-f(x)+1 ogf] A011272 4.95084 [x^2*f(x)^3+f(x)^2*x^2+4*f(x)^2*x+3*f(x)*x-f(x)+x ogf] A011365 7.8968 [-f(x)^3-f(x)^2*x+f(x)^2-f(x)*x-x^2 ogf] A011367 4.54008 [(8*f(x)-3)*(f(x)*x^4+4*f(x)*x^3+5*f(x)*x^2-x^3+2*f(x)*x-x^2-f(x)+1) ogf] A011367 8.27164 [(x^3+x^2-1)/(x^4+4*x^3+5*x^2+2*x-1) ogf] A011367 8.69290 [-(x^2+x+1)*(x^4+x^3-3*x^2-6*x-2)/(x^3+x^2-1)/(x^4+4*x^3+5*x^2+2*x-1) lgdogf] A011369 7.34116 [-x^2*(2*x^6-x^4+7*x^3-2*x^2-x-1)/(x-1)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A011377 12.5883 [-1/(x+1)/(2*x-1)/(x-1)^2 ogf] A011377 16.7620 [-(-3-x+8*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A011377 7.72974 [(313*f(x)-320)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A011379 11.5207 [2*x*(2*x+1)/(x-1)^4 ogf] A011379 33.5353 [-6*(x+1)/(2*x+1)/(x-1) lgdogf] A011379 4.99229 [{(n+2)*a(n+3)+(-5+n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=12} ogf] A011379 5.54698 [-(2565*f(x)+6151)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-2*x) ogf] A011531 7.43456 [(10-8*x-80*x^12+11*x^10+87*x^11-19*x^18-143*x^19+144*x^20)/(x-1)/(8*x^20+x^19-8*x^12-x^11+8*x^2-8*x-1) lgdogf] A011531 8.69896 [-(8*x^20+x^19-8*x^12-x^11+8*x^2-8*x-1)/(x-1)^2 ogf] A011557 11.7778 [{a(n+1)-10*a(n),a(0)=1} ogf] A011557 14.8624 [-10*f(x)*x+f(x)-1 ogf] A011557 28.3737 [-1/(10*x-1) ogf] A011557 40.8296 [1/10*ln(1+10*x) revegf] A011557 47.1110 [-10/(-1+10*x) lgdogf] A011558 14.7548 [-x*(x+1)*(x^2+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A011558 27.2186 [[x^4-x^3+1] ogf_with_Euler_transform] A011558 9.18840 [-(1+2*x+3*x^6+4*x^5+2*x^7+5*x^4+3*x^2)/(-1+x)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A011558 9.89059 [-(f(x)+1)*(f(x)*x^5+x^4+x^3+x^2-f(x)+x) ogf] A011582 4.48006 [x*(x^8+x^6+2*x^5+3*x^4+2*x^3+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011632 5.98488 [-2*x/(1+x^2) lgdogf] A011634 4.93145 [x^6+x^4-1 ogf_with_Euler_transform] A011638 5.16447 [x^20+x^8-x^2 ogf_with_Euler_transform] A011639 10.7103 [x^12+x^4-1 ogf_with_Euler_transform] A011642 12.9654 [x^10+x^6-1 ogf_with_Euler_transform] A011644 15.1106 [x^16+x^4-1 ogf_with_Euler_transform] A011644 5.05566 [-1/(x-1)/(x^4+x^3+x^2+x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011647 15.2535 [x^18+x^4-1 ogf_with_Euler_transform] A011647 5.10088 [-1/(x-1)/(x^4+x^3+x^2+x+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011653 21.9390 [x^22+x^4-1 ogf_with_Euler_transform] A011653 7.01947 [-1/(x-1)/(x^4+x^3+x^2+x+1)/(x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011654 22.6696 [x^16+x^6-1 ogf_with_Euler_transform] A011654 5.32525 [-1/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011655 11.0454 [{-a(n+3)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A011655 11.6677 [(f(x)+1)*(f(x)*x^3+x^2-f(x)+x) ogf] A011655 18.4090 [-(x+1)*x/(x-1)/(x^2+x+1) ogf] A011655 25.5968 [-(1+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A011655 28.5069 [[x^2-x+1] ogf_with_Euler_transform] A011656 10.9290 [-x*(2+5*x^7+7*x^5+4*x^2+4*x^8+3*x^9+3*x)/(-1+x)/(x^4+x^3+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011656 12.0287 [-x^2*(x^4+x^3+x^2+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011657 8.22682 [-(1+2*x+5*x^8+7*x^6+6*x^7+4*x^3+3*x^10)/(-1+x)/(x^4+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011657 8.78889 [-x^2*(x^4+x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011658 10.4032 [-x^3*(x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A011658 15.0533 [-(1+4*x^5+5*x^4)/(x^4+x^3+x^2+x+1)/(-1+x)/(x+1) lgdogf] A011658 17.5281 [[x^4-x+1] ogf_with_Euler_transform] A011658 9.61804 [-f(x)*x^5-x^4-x^3+f(x) ogf] A011659 5.52569 [-x^3*(x^11+x^8+x^7+x^5+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A011671 4.81699 [-x^5*(x^15+x^14+x^12+x^9+x^8+x^5+x^2+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A011672 10.5598 [-3*x^2*(1+3*x^6+2*x^9)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A011672 13.5445 [x^8-x^5+x^2 ogf_with_Euler_transform] A011672 9.14763 [-x^5*(x+1)*(x^2-x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A011693 5.65722 [-x^7*(x+1)*(x^8-x^7+x^6+x^4+x^2-x+1)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011707 5.67191 [-x^7*(x+1)*(x^8+x^5-x^4+x^3+1)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A011733 3.70539 [-(-2*x^36-2*x^22-3*x^19-x^11-x^8-x^5-x^2)/(-x^23+2*x^20+2*x^17+x^9+x^6+x^3+1) ogf_with_Euler_transform] A011734 3.72473 [-(-2*x^26-4*x^24-2*x^22-x^20-x^7-x^5-x^3-x)/(2*x^25+3*x^23+2*x^21+x^6+x^4+x^2+1) ogf_with_Euler_transform] A011741 6.81458 [x^27*(x+1)*(x^2-x+1)/(x-1)/(x^2+x+1)/(x^28-x^3-1) ogf] A011742 7.45146 [x^28*(x^2+1)/(x-1)/(x+1)/(x^29-x^2-1) ogf] A011744 6.68720 [x^30*(x+1)*(x^2-x+1)/(x-1)/(x^2+x+1)/(x^31-x^3-1) ogf] A011745 6.06131 [x^31*(x+1)/(x-1)/(x^32-x^28-x^27-x-1) ogf] A011760 14.1604 [-(x^13-x^12-1)/(x-1)^2 ogf] A011760 17.4167 [(2+12*x^11-23*x^12+11*x^13)/(x-1)/(x^13-x^12-1) lgdogf] A011761 12.5058 [-(4*x^2+1)/(x^3+x-1) ogf] A011761 15.7486 [-(1+8*x+4*x^4-x^2)/(1+4*x^2)/(x^3+x-1) lgdogf] A011761 6.38314 [-(27*f(x)-673)*(f(x)*x^3+f(x)*x+4*x^2-f(x)+1) ogf] A011761 6.51896 [{a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A011763 11.6136 [-(366*x^3+365*x^2+365*x+365)/(x-1)/(x+1)/(x^2+1) ogf] A011763 7.17863 [-(365+730*x+1098*x^2+1460*x^3+1095*x^4+730*x^5+366*x^6)/(x-1)/(x+1)/(x^2+1)/(366*x^3+365*x^2+365*x+365) lgdogf] A011763 7.2585 [(533630*f(x)-290561169)*(f(x)*x^4+366*x^3+365*x^2-f(x)+365*x+365) ogf] A011763 7.86338 [{-a(n+4)+a(n),a(0)=365,a(1)=365,a(2)=365,a(3)=366} ogf] A011765 19.3591 [-x^3/(x-1)/(x+1)/(x^2+1) ogf] A011765 32.9486 [[x^3] ogf_with_Euler_transform] A011765 33.5304 [-4*x^3/(x^2+1)/(x-1)/(x+1) lgdogf] A011765 6.60488 [{a(n+4)-a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A011765 8.91135 [-f(x)*(f(x)*x^4+x^3-f(x)) ogf] A011769 7.04072 [-(3*x^5-3*x^4-9*x^3+3*x^2+3*x-1)/(3*x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A011779 19.8855 [-3*(1+x+3*x^2)/(x-1)/(x^2+x+1) lgdogf] A011779 24.2654 [[2*x^2+3] ogf_with_Euler_transform] A011779 3.68142 [{(-n-4)*a(n+4)+3*a(n+3)+3*a(n+2)+(10+n)*a(n+1),a(0)=1,a(1)=3,a(2)=6,a(3)=12} ogf] A011779 7.18959 [-1/(x^2+x+1)^2/(x-1)^5 ogf] A011780 8.43536 [-1/(x-1)^2/(x+1)^2/(2*x-1)^3 ogf] A011781 15.5438 [-6*f(x)^2*x+f(x)^2-1 egf] A011781 34.0104 [-1/2*x*(-2+3*x) revegf] A011781 51.0157 [-3/(6*x-1) lgdegf] A011781 7.94852 [{(-6*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A011782 17.8557 [-2*f(x)*x+f(x)+x-1 ogf] A011782 19.2781 [(x-1)/(2*x-1) ogf] A011782 27.9721 [1/2+x-1/2*(4*x^2+1)^(1/2) revogf] A011782 46.6201 [1/(2*x-1)/(x-1) lgdogf] A011782 9.90678 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=1} ogf] A011783 2.18069 [-(3*f(x)-2)*(f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A011783 4.31291 [-(2*x-1)/(x^2-3*x+1) ogf] A011783 5.38209 [-(1-2*x+2*x^2)/(2*x-1)/(x^2-3*x+1) lgdogf] A011791 8.23387 [x/(1+2*x+4*x^2+3*x^3+x^4) revogf] A011795 15.0254 [-x^5+x^4+x^2+x+3 ogf_with_Euler_transform] A011795 5.30056 [-x^5*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011795 8.66500 [-(3+2*x+7*x^6-4*x^5+9*x^4+4*x^3+4*x^2)/(x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A011797 6.52295 [-(4+4*x+13*x^6+6*x^5-5*x^7+6*x^4+6*x^3+9*x^8+6*x^2)/(x-1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011800 14.2691 [(-2-x^2+2*x)*f(x)+(2-4*x+2*x^2)*f(x)^2 lgdegf] A011819 5.19861 [-(x^6-7*x^5+19*x^4-25*x^3+23*x^2-9*x+2)/(x-1)^7 ogf] A011819 8.00421 [-(5-8*x+40*x^2-24*x^3+22*x^4-8*x^5+x^6)/(x-1)/(x^6-7*x^5+19*x^4-25*x^3+23*x^2-9*x+2) lgdogf] A011826 16.8088 [-(-3+5*x-7*x^2+x^3)/(x-1)/(x^3-5*x^2+5*x-2) lgdogf] A011826 3.88377 [{(119*n^2+613*n+750)*a(n+1)+(-198*n^2-720*n-396)*a(n+2)+(79*n^2+227*n-30)*a(n+3),a(0)=2,a(1)=3,a(2)=5} ogf] A011826 5.38626 [(f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)+5*x-2) ogf] A011826 9.58334 [-(x^3-5*x^2+5*x-2)/(x-1)^4 ogf] A011827 5.15275 [-(x^6-7*x^5+25*x^4-32*x^3+26*x^2-11*x+2)/(x-1)^7 ogf] A011827 7.80616 [-(3-14*x+34*x^2-28*x^3+40*x^4-8*x^5+x^6)/(x-1)/(x^6-7*x^5+25*x^4-32*x^3+26*x^2-11*x+2) lgdogf] A011842 4.61894 [x^4*(x^2-x+1)*(x^4-x^3+x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A011848 14.5321 [-x^3/(x^2+1)/(x-1)^3 ogf] A011848 28.4408 [[x^3-x+3] ogf_with_Euler_transform] A011848 29.4382 [-(3-2*x+5*x^2)/(x-1)/(1+x^2) lgdogf] A011848 4.29187 [{(n+3)*a(n+1)+(-n-1)*a(n+2)+(n+3)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A011848 7.07975 [f(x)*x^5-3*f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2+x^3+3*f(x)*x-f(x) ogf] A011849 4.37041 [x^4*(x^2-x+1)*(x^3-x^2+1)/(x^6+x^3+1)/(x-1)^4 ogf] A011849 5.54105 [-(18*x^9-4*x^8-13*x^10+3*x^2+5*x^11-3*x+21*x^6-7*x^5-13*x^7-x^4+3*x^3+3)/(x-1)/(x^2-x+1)/(x^3-x^2+1)/(x^6+x^3+1) lgdogf] A011853 6.32834 [-(5+4*x+14*x^6+7*x^5-5*x^7+7*x^4+7*x^3+10*x^8+7*x^2)/(x-1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011858 11.1132 [-x^3*(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011858 12.1660 [-(2+4*x+2*x^5+5*x^6+9*x^4+4*x^3+4*x^2)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A011858 23.0326 [[x^4-x^3+x+2] ogf_with_Euler_transform] A011860 11.0513 [-x^4*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011860 25.6827 [x^6-x^3+x+2 ogf_with_Euler_transform] A011860 9.35110 [-(2+4*x+4*x^5+11*x^6+2*x^7+7*x^8+4*x^3+4*x^4+4*x^2)/(x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011861 10.2133 [-(2-2*x+7*x^8-12*x^7+19*x^6-8*x^3+13*x^4-14*x^5+7*x^2)/(x-1)/(x^2+1)/(x^2-x+1)/(x^4+1) lgdogf] A011861 23.6474 [x^7-x^5+x^2+2 ogf_with_Euler_transform] A011861 7.50721 [-x^4*(x^2-x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A011862 11.0134 [-x^4*(x^4+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A011862 23.4242 [x^8-x^7+x^3+2 ogf_with_Euler_transform] A011862 7.63208 [-(2+2*x+7*x^12+2*x^11+2*x^10+2*x^9+13*x^8+4*x^7+4*x^6+6*x^3+4*x^4+4*x^5+2*x^2)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1) lgdogf] A011863 16.8694 [-(5+12*x+4*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A011863 29.2462 [-x^2+x+5 ogf_with_Euler_transform] A011863 9.09106 [-x*(x^2+x+1)/(x+1)/(x-1)^5 ogf] A011864 15.0010 [x^10-x^7-x^5+x^3+x^2+x+1 ogf_with_Euler_transform] A011864 7.72889 [-x^4*(x^2-x+1)*(x^4+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011865 15.1297 [x^11-x^9-x^5+x^4+x^2+x+1 ogf_with_Euler_transform] A011865 5.83309 [-x^4*(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A011865 6.93540 [-(1+2*x+7*x^12-6*x^11+9*x^10-12*x^9+14*x^8-4*x^7+8*x^6+3*x^4-6*x^5+2*x^2)/(x-1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A011866 10.7710 [-x^5*(x^2+1)*(x^4-x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011866 22.2873 [x^12-x^11+x^5+2 ogf_with_Euler_transform] A011867 12.6887 [-(2+2*x+2*x^2+2*x^3+2*x^4+2*x^5+9*x^6)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011867 15.5091 [-x^5/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011867 35.2318 [[x^6+2] ogf_with_Euler_transform] A011868 5.74964 [-x^5*(x^8-x^6+x^5+x^3-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^3 ogf] A011870 7.67813 [-x^5*(x^2-x+1)*(x^8+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011871 10.1009 [-x^5*(x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A011871 8.65671 [-(1+2*x+9*x^10-8*x^9+11*x^8+2*x^7+2*x^6+2*x^3+2*x^4+2*x^5+2*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A011871 9.12122 [(1/x^10+1/x^8+1/x^11+1/x^9+1/x^7+1)*x^11/(x+1)/(x^2-x+1) ogf_with_Euler_transform] A011872 5.94696 [-x^5*(x^4-x^3+x^2-x+1)*(x^8+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011873 13.2208 [x^19-x^17-x^9+x^8+x^4+x+1 ogf_with_Euler_transform] A011874 5.56549 [-x^6*(x^12-x^10+x^9+x^3-x^2+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^3 ogf] A011875 10.0560 [-x^6*(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011878 4.99938 [-x^6*(x^4-x^3+x^2-x+1)*(x^4+1)*(x^8-x^4+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^3 ogf] A011879 7.10250 [-(x^4-x^3+x^2-x+1)*x^6/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A011880 4.72817 [-x^6*(x^2-x+1)*(x^16-x^13+x^11+x^5-x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^3 ogf] A011883 8.51299 [-x^6*(x^2-x+1)*(x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^3 ogf] A011886 10.4784 [-2*(3+6*x+3*x^5+4*x^6+12*x^4+11*x^3+9*x^2)/(x-1)/(x+1)/(2*x^3+3*x+1)/(x^2+1) lgdogf] A011886 7.92263 [x^3*(2*x^3+3*x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A011887 5.32838 [x^3*(2*x^4-x^3+3*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011887 6.19732 [-(4+12*x+21*x^6+19*x^5+x^7+23*x^4+20*x^3+8*x^8+12*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4-x^3+3*x^2+x+1) lgdogf] A011888 13.3116 [-(6+14*x+5*x^3+11*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A011888 23.6258 [-x^2+x+6 ogf_with_Euler_transform] A011888 6.14543 [x*(x^2+x+1)/(x+1)/(x-1)^6 ogf] A011889 5.25564 [x^4*(x^5+x^4+2*x^2-x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011890 4.78702 [x^4*(x^6+2*x^4-x^3+3*x^2-2*x+3)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A011891 5.37490 [-(-4*x+33*x^6-8*x^5-23*x^7-8*x^4+15*x^3+9*x^9+7*x^8-7*x^10-x^2+5*x^11+6)/(x-1)/(x^5-x^4+x^3+x^2-2*x+2)/(x^6+x^3+1) lgdogf] A011891 5.39666 [x^4*(x^5-x^4+x^3+x^2-2*x+2)/(x^6+x^3+1)/(x-1)^4 ogf] A011892 6.50873 [x^4*(x^3+2)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011892 7.76041 [-(6+6*x+3*x^6+3*x^5+5*x^7+19*x^4+9*x^3+9*x^2)/(-1+x)/(x^3+2)/(x^4+x^3+x^2+x+1) lgdogf] A011893 4.09250 [x^4*(x^9+x^6+2*x^5-2*x^4+2*x^3+x^2-x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011894 5.95642 [x^4*(x^2-x+2)/(x+1)/(x^2+1)/(x-1)^4 ogf] A011894 9.39997 [-(5+5*x+5*x^5-3*x^4+14*x^3+6*x^2)/(-1+x)/(x+1)/(1+x^2)/(x^2-x+2) lgdogf] A011895 5.71882 [x^4*(x^11-x^10+2*x^9+2*x^5+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011896 6.10877 [-(4+4*x+16*x^6+9*x^5+5*x^11+9*x^2+5*x^3+11*x^4-2*x^8+12*x^7-3*x^10+14*x^9)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^5-x^4+2*x^3-x^2+x+1) lgdogf] A011896 6.30270 [x^4*(x^5-x^4+2*x^3-x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011897 5.79708 [x^4*(x^3-x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011897 7.61303 [-(4+4*x-3*x^6+7*x^5+5*x^7+11*x^4+6*x^3+6*x^2)/(x-1)/(x^3-x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A011900 10.0034 [-(3-12*x-8*x^3+x^4+24*x^2)/(x-1)/(x^2-4*x+1)/(x^2+1-6*x) lgdogf] A011900 11.4625 [-(x^2-4*x+1)/(x-1)/(x^2-6*x+1) ogf] A011900 6.18773 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A011900 6.24299 [(41*f(x)+4)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)-4*x+1) ogf] A011903 5.22743 [-(2+4*x-3*x^7+8*x^4+2*x^3+5*x^11-3*x^10+16*x^8+13*x^6+6*x^5+6*x^2)/(x-1)/(x^5-x^4+2*x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A011903 5.22743 [x^4*(x^5-x^4+2*x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011904 4.02677 [x^4*(x^9-x^8+2*x^6-x^5+x^4-x^3+2*x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011906 7.06780 [(3*x^3-33*x^2+23*x-1)/(x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A011912 6.25650 [x^5*(x^2-2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A011912 8.36463 [-(4+2*x+6*x^6-11*x^5+13*x^4+3*x^3+3*x^2)/(x-1)/(x^2-2*x+2)/(x^4+x^3+x^2+x+1) lgdogf] A011915 5.97893 [-4*x^4*(x^4+2*x^3+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011915 7.54915 [-(6+12*x+28*x^5+29*x^4+24*x^3+12*x^6+16*x^7+5*x^8+18*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+2*x+1) lgdogf] A011916 11.2076 [-2*(-22+45*x-12*x^2+x^3)/(x-1)/(x-3)/(x^2-14*x+1) lgdogf] A011916 4.89334 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=44} ogf] A011916 5.52319 [f(x)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-x^2-f(x)+3*x) ogf] A011916 9.45493 [x*(x-3)/(x-1)/(x^2-14*x+1) ogf] A011917 4.02316 [-x^4*(3*x^6+5*x^5+x^4+6*x^3+x^2+5*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011918 11.6314 [-2*(38-75*x+x^3)/(x+5)/(x-1)/(x^2-14*x+1) lgdogf] A011918 12.9555 [-(x+5)/(x-1)/(x^2-14*x+1) ogf] A011918 5.98785 [(525656976*f(x)-8372525)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+x+5) ogf] A011918 6.03859 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=5,a(1)=76,a(2)=1065} ogf] A011919 3.83060 [-x^4*(2*x^8+5*x^7+3*x^5+4*x^4+3*x^3+5*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^5 ogf] A011920 4.99683 [-12*(11*x^2-44*x+1)/(x-1)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A011922 4.23750 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=33} ogf] A011922 6.73958 [(320*f(x)-23)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+3*x^2-f(x)-12*x+1) ogf] A011922 7.61425 [-(3*x^2-12*x+1)/(x-1)/(x^2-14*x+1) ogf] A011922 7.80294 [-3*(1-8*x+x^4-8*x^3+46*x^2)/(x-1)/(3*x^2-12*x+1)/(x^2-14*x+1) lgdogf] A011924 3.93716 [-x^4*(x^6+4*x^5-x^4+4*x^3-x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011925 4.47266 [-x^4*(x^4+4*x^3-2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011925 5.71985 [-(8+16*x+6*x^6+44*x^5+28*x^7+37*x^4+32*x^3+5*x^8+24*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+4*x^3-2*x^2+4*x+1) lgdogf] A011926 4.34207 [-x^4*(x^4+2*x^3-3*x^2+2*x+1)/(x^4+1)/(x-1)^5 ogf] A011926 6.53697 [-(7+2*x-23*x^6+22*x^5+12*x^7+4*x^4+4*x^3+5*x^8-3*x^2)/(x-1)/(x^4+2*x^3-3*x^2+2*x+1)/(x^4+1) lgdogf] A011928 4.57030 [-x^4*(x^8+2*x^7+2*x^6-2*x^5+6*x^4-2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^5 ogf] A011930 5.51857 [-x^4*(x^4+2*x^3+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011930 6.89821 [-(6+12*x+5*x^8+12*x^6+28*x^5+16*x^7+29*x^4+24*x^3+18*x^2)/(-1+x)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+2*x+1) lgdogf] A011931 3.84286 [-x^4*(x^6+x^5+3*x^4-2*x^3+3*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011934 10.1379 [x*(x^2+4*x+1)/(x+1)/(x-1)^4 ogf] A011934 17.6047 [-(7+19*x+3*x^3+19*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A011938 5.83046 [-2*x^5*(2*x^4-2*x^3+3*x^2-2*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011940 14.4215 [-x^5+x^4+x^2+x+3 ogf_with_Euler_transform] A011940 5.09232 [-4*x^5*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A011940 8.32518 [-(3+2*x+7*x^6-4*x^5+9*x^4+4*x^3+4*x^2)/(x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A011943 14.1660 [-(7-2*x+7*x^2)/(7*x-1)/(1-14*x+x^2) lgdogf] A011943 15.9555 [-(7*x-1)/(x^2-14*x+1) ogf] A011943 7.97777 [-(96*f(x)-47)*(f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A011943 8.84282 [{a(n+2)-14*a(n+1)+a(n),a(0)=1,a(1)=7} ogf] A011944 12.2046 [-(-1-7*x+(6*x+1)^(1/2)*(8*x+1)^(1/2))/x revogf] A011944 12.7494 [2*x/(x^2-14*x+1) ogf] A011944 21.6354 [-2*(-7+x)/(x^2-14*x+1) lgdogf] A011944 5.90828 [{a(n+2)-14*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A011944 8.07466 [-f(x)*x^2+14*f(x)*x-f(x)+2*x ogf] A011945 12.1327 [-f(x)*x^2+14*f(x)*x-f(x)+6*x ogf] A011945 15.2973 [-(-3-7*x+(2*x+1)^(1/2)*(8*x+3)^(1/2)*3^(1/2))/x revogf] A011945 19.1569 [6*x/(x^2-14*x+1) ogf] A011945 34.2369 [-2*(x-7)/(x^2+1-14*x) lgdogf] A011945 8.87759 [{a(n+2)-14*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A011975 6.21391 [-(x^8-x^7-x^6+2*x^5+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A012000 11.9989 [-16*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A012000 18.5487 [-(-2*x+(-12*x^2+1)^(1/2))*x/(4*x-1)/(4*x+1) revogf] A012000 31.9037 [-2*(8*x-1)/(16*x^2+1-4*x) lgdogf] A012000 5.01916 [{(-n-3)*a(n+3)+(10+4*n)*a(n+2)+(-32-16*n)*a(n+1),a(0)=1,a(1)=2,a(2)=-2} ogf] A012019 11.1632 [(n+3)*a(n+3)+(4+n)*a(n+1),a(0)=1,a(1)=0,a(2)=-3/2 lgdegf] A012034 8.58455 [(5+4*n+n^2)*a(n+1)+(5*n+6+n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=-1 lgdegf] A012125 31.0171 [-6*(8*x-1)/(16*x^2+1-4*x) lgdogf] A012125 4.90859 [{(n+2)*a(n+3)+(-10-4*n)*a(n+2)+(48+16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A012150 11.1035 [(-n-3)*a(n+3)+(4+n)*a(n+1),a(0)=1,a(1)=0,a(2)=3/2 lgdegf] A012244 10.9368 [-f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 egf] A012244 28.5825 [-(x+1)/(x^2-1+2*x) lgdegf] A012244 34.2991 [sin(x)+cos(x)-1 revegf] A012244 4.85224 [{(n^2+4*n+4)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A012245 21.7732 [(1+5*x^4+23*x^22)/(1+x+x^5+x^23) lgdogf] A012246 8.63446 [(5+4*n+n^2)*a(n+1)+(-5*n-6-n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=1 lgdegf] A012408 11.6937 [1/(1+x^2)*exp(x)*(arctan(x)+arctan(x)*x^2+1) lgdegf] A012493 10.2316 [x*(x-2)/(x^3-4*x^2+5*x-1) ogf] A012493 15.5080 [-(-2-2*x+x^2)/(x-1)/(x^3-4*x^2+5*x-1) lgdogf] A012493 5.16108 [-(40*f(x)+63)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x-x^2-f(x)+2*x) ogf] A012493 5.25406 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=9} ogf] A012584 10.2667 [exp(x)/(x^2+1)*(arcsinh(x)*x^2+arcsinh(x)+(x^2+1)^(1/2)) lgdegf] A012772 13.5628 [-(-3+3*x-3*x^2+x^3)/(x-1)/(x^3-4*x^2+5*x-1) lgdogf] A012772 5.13572 [-(11*f(x)-2)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A012772 5.27206 [{-a(n+3)+5*a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A012772 9.76628 [-(x-1)^2/(x^3-4*x^2+5*x-1) ogf] A012781 10.7608 [x*(x-1)/(x^3-4*x^2+5*x-1) ogf] A012781 13.7234 [-(x-2)*(2*x^2-3*x+2)/(x-1)/(x^3-4*x^2+5*x-1) lgdogf] A012781 5.52580 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A012781 7.21605 [f(x)*x^3-4*f(x)*x^2+5*f(x)*x-x^2-f(x)+x ogf] A012814 13.7656 [-x/(x^3-4*x^2+5*x-1) ogf] A012814 16.8176 [-(x-1)*(3*x-5)/(-4*x^2-1+5*x+x^3) lgdogf] A012814 5.08458 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A012814 5.7009 [(5*f(x)+1)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x-f(x)+x) ogf] A012855 10.8032 [x*(4*x-1)/(x^3-4*x^2+5*x-1) ogf] A012855 12.3675 [-(-1+8*x-19*x^2+8*x^3)/(-1+4*x)/(x^3-4*x^2+5*x-1) lgdogf] A012855 5.54757 [-(f(x)+1)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x-4*x^2-f(x)+x) ogf] A012855 5.54758 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A012864 10.0030 [-(2*x^2-4*x+1)/(x^3-4*x^2+5*x-1) ogf] A012864 10.3013 [-(x-1)*(2*x^3-6*x^2+3*x-1)/(2*x^2-4*x+1)/(x^3-4*x^2+5*x-1) lgdogf] A012864 5.44809 [(7*f(x)-10)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A012864 5.44809 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A012866 10.2032 [x*(3*x-1)/(x^3-4*x^2+5*x-1) ogf] A012866 11.9177 [-(-2+8*x+6*x^3-15*x^2)/(3*x-1)/(x^3-4*x^2+5*x-1) lgdogf] A012866 5.23949 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A012866 5.33563 [(25*f(x)+16)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x-3*x^2-f(x)+x) ogf] A012880 10.5935 [x*(2*x-1)/(x^3-4*x^2+5*x-1) ogf] A012880 12.1285 [-(-3+8*x-11*x^2+4*x^3)/(-1+2*x)/(x^3-4*x^2+5*x-1) lgdogf] A012880 5.43991 [-(3*f(x)+1)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x-2*x^2-f(x)+x) ogf] A012880 5.43991 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A012886 4.99408 [-(169*f(x)+202)*(f(x)*x^3-4*f(x)*x^2+5*f(x)*x-3*x^2-f(x)-3*x+1) ogf] A012886 5.30621 [{a(n+3)-5*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A012886 9.53415 [-(-2+14*x+6*x^3+3*x^4-30*x^2)/(3*x^2+3*x-1)/(x^3-4*x^2+5*x-1) lgdogf] A012886 9.74254 [(3*x^2+3*x-1)/(x^3-4*x^2+5*x-1) ogf] A012899 14.7597 [-(-x+1+(-(x-1)*(x+1))^(1/2))/(x-1)/(x+1) lgdegf] A012960 23.8267 [(x+2+x^2)/(1+x)/(1+x^2) lgdegf] A013069 11.5692 [(x^2+1+((1+x^2)*(x+1)^2)^(1/2))/(1+x^2)/(x+1) lgdegf] A013069 6.73854 [-2*f(x)*x^2+f(x)^2-2*f(x)*x-x^2-2*x-1 egf] A013076 2.67532 [5*f(x)^2*x^4+12*f(x)^2*x^3-2*f(x)*x^4+12*f(x)^2*x^2-8*f(x)*x^3-3*x^4+8*f(x)^2*x-12*f(x)*x^2-4*x^3+4*f(x)^2-8*f(x)*x egf] A013078 3.46129 [4*f(x)*x^4-4*f(x)^2*x^2+12*f(x)*x^3+5*x^4-8*f(x)^2*x+8*f(x)*x^2+12*x^3-4*f(x)^2+12*x^2+8*x+4 egf] A013080 2.92691 [5*f(x)^2*x^4+12*f(x)^2*x^3+4*f(x)*x^4+12*f(x)^2*x^2+12*f(x)*x^3+8*f(x)^2*x+8*f(x)*x^2+4*f(x)^2-4*x^2-8*x-4 egf] A013084 7.58924 [-5152+(2832+768*x^4)*f(x)+(1032-1686*x^4)*f(x)^2+(651*x^4-580)*f(x)^3 lgdegf] A013103 12.9949 [-x^2+(-2-2*x^2)*f(x)+(x^4+1+2*x^2)*f(x)^2 lgdegf] A013155 32.5943 [(x-2)/(x-1)/(1+x) lgdegf] A013155 4.64165 [{(n^2+2*n)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=3} ogf] A013155 8.71202 [-f(x)^2*x-x^3+f(x)^2-3*x^2-3*x-1 egf] A013161 9.79695 [(-2+22*x+5*x^3-x^2)/(x-1)/(x-2)/(1+x)/(x^3+3*x^2+2*x+2) lgdegf] A013164 11.2493 [x*(x-2)*(x^2+3*x+4)/(x-1)/(1+x)/(x^3+3*x^2+2*x+2) lgdegf] A013166 11.1441 [-x*(x-2)*(x^2+3*x+4)/(x-1)/(x+1)/(x^3+3*x^2+2*x+2) lgdegf] A013170 14.0345 [-x^2+(2-2*x^2)*f(x)+(-x^4-1+2*x^2)*f(x)^2 lgdegf] A013174 25.1865 [-2/(x-1)/(1+x)/(1+x^2) lgdegf] A013174 4.22598 [{(n+4)*a(n+4)-2*a(n+3)-n*a(n),a(0)=1,a(1)=2,a(2)=2,a(3)=4/3} egf] A013275 3.63708 [4*f(x)*x^4+4*f(x)^2*x^2+12*f(x)*x^3+3*x^4+8*f(x)^2*x+16*f(x)*x^2+4*x^3+4*f(x)^2+8*f(x)*x egf] A013277 2.73352 [5*f(x)^2*x^4+12*f(x)^2*x^3-2*f(x)*x^4+12*f(x)^2*x^2-8*f(x)*x^3-3*x^4+8*f(x)^2*x-12*f(x)*x^2-4*x^3+4*f(x)^2-8*f(x)*x egf] A013279 3.59994 [4*f(x)*x^4+4*f(x)^2*x^2+12*f(x)*x^3-5*x^4+8*f(x)^2*x+8*f(x)*x^2-12*x^3+4*f(x)^2-12*x^2-8*x-4 egf] A013281 3.0264 [-5*f(x)^2*x^4-12*f(x)^2*x^3+4*f(x)*x^4-12*f(x)^2*x^2+12*f(x)*x^3-8*f(x)^2*x+8*f(x)*x^2-4*f(x)^2+4*x^2+8*x+4 egf] A013299 3.41993 [{(4*n^3+28*n^2+63*n+45)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=6} ogf] A013309 5.52640 [-a(n+1)+(n+2)*a(n+2)+(-5*n-6-n^2)*a(n+3)+(26*n+24+9*n^2+n^3)*a(n+4),a(0)=1,a(1)=2,a(2)=1/2,a(3)=0 lgdegf] A013326 4.13365 [-(426*f(x)-151)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2+2*x^3-3*f(x)*x-x^2+f(x)+x-1) ogf] A013326 4.22098 [{a(n+4)-3*a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A013326 7.78414 [-(2*x^3-x^2+x-1)/(x^4-3*x^3+3*x^2-3*x+1) ogf] A013326 8.13764 [-(2-4*x+2*x^6-2*x^5+2*x^3+3*x^2)/(2*x^3-x^2+x-1)/(x^4-3*x^3+3*x^2-3*x+1) lgdogf] A013378 15.0253 [-(f(x)-1)^3 ogf] A013397 14.2331 [-2*x+(2-2*x^2)*f(x)+(1+x-x^2-x^3)*f(x)^2 lgdegf] A013430 13.5052 [x^2+(2-2*x^2)*f(x)+(1-2*x^2+x^4)*f(x)^2 lgdegf] A013458 15.6368 [-(f(x)-1)^3 ogf] A013459 23.2850 [-x*(x-1)/(x+1)/(1+x^2) lgdegf] A013461 13.1675 [x^2+(2+2*x^2)*f(x)+(-1-2*x^2-x^4)*f(x)^2 lgdegf] A013462 21.1899 [2*x^2/(x-1)/(x+1)/(1+x^2) lgdegf] A013462 3.80565 [{(-n-4)*a(n+4)-2*a(n+1)+n*a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=-2/3} egf] A013468 5.44100 [a(n+1)+(-n-2)*a(n+2)+(5*n+6+n^2)*a(n+3)+(-26*n-24-9*n^2-n^3)*a(n+4),a(0)=-1,a(1)=-2,a(2)=-1/2,a(3)=0 lgdegf] A013492 11.1363 [(-x^2-1+((1+x^2)*(x+1)^2)^(1/2))/(1+x^2)/(x+1) lgdegf] A013492 3.03248 [{-a(n)*n-a(n+1)*n+(-n-3)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=1/2} egf] A013492 4.99289 [-f(x)^2*x^2-2*f(x)^2*x+2*f(x)*x^2-f(x)^2+2*f(x)*x+1 egf] A013571 12.1781 [-1/(1+x^2)*exp(-x)*(arctan(x)+arctan(x)*x^2-1) lgdegf] A013574 13.2100 [(2*x^2+x+3)/(x^2+1)/(x-1)^2 ogf] A013574 4.51232 [{(-6*n-25)*a(n+1)+(6*n+19)*a(n+2)+(-6*n-25)*a(n+3)+(6*n+19)*a(n+4),a(0)=3,a(1)=7,a(2)=10,a(3)=12} ogf] A013574 6.80216 [(528*f(x)+9259)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)-x-3) ogf] A013654 11.9628 [-2*(3*x+1)/(x+1)^2/(x-1)^3 ogf] A013654 22.4941 [-4*(1+2*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A013654 4.12718 [{(-n-4)*a(n+4)+(-5-3*n)*a(n+3)+(10+n)*a(n+2)+(15+3*n)*a(n+1),a(0)=2,a(1)=8,a(2)=12,a(3)=24} ogf] A013655 10.5718 [{-a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=2} ogf] A013655 19.2642 [(x-3)/(x^2+x-1) ogf] A013655 23.6703 [1/2/(x-1)*(-3-x+(9+2*x+5*x^2)^(1/2)) revogf] A013655 29.3838 [-(-2-6*x+x^2)/(x-3)/(x^2+x-1) lgdogf] A013655 9.85099 [(87*f(x)-245)*(f(x)*x^2+f(x)*x-f(x)-x+3) ogf] A013656 14.0276 [-x*(11*x+7)/(x-1)^3 ogf] A013656 29.7129 [-2*(16+11*x)/(11*x+7)/(x-1) lgdogf] A013656 6.83698 [(525852*f(x)-3081325)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+7*x) ogf] A013656 7.26429 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=32} ogf] A013698 3.84587 [{(27*n^3+270*n^2+897*n+990)*a(n+1)+(-4*n^3-42*n^2-140*n-144)*a(n+2),a(0)=1,a(1)=8} ogf] A013698 5.40976 [-800+5832*x+(100+8748*x^2-1944*x)*f(x)+(-1188*x^2+80*x+4374*x^3)*f(x)^2+(16*x^2+729*x^4-216*x^3)*f(x)^3 lgdogf] A013708 10.2830 [{a(n+1)-9*a(n),a(0)=3} ogf] A013708 13.0419 [-9*f(x)*x+f(x)-3 ogf] A013708 21.3887 [-3/(9*x-1) ogf] A013708 40.2428 [1/3*x/(1+3*x) revogf] A013708 47.5597 [-9/(-1+9*x) lgdogf] A013709 12.0146 [-16*f(x)*x+f(x)-4 ogf] A013709 19.4081 [-4/(16*x-1) ogf] A013709 35.2515 [1/16*ln(1+4*x) revegf] A013709 41.1268 [-16/(16*x-1) lgdogf] A013709 9.52096 [{a(n+1)-16*a(n),a(0)=4} ogf] A013710 11.7994 [-25*f(x)*x+f(x)-5 ogf] A013710 19.0605 [-5/(25*x-1) ogf] A013710 34.6244 [1/25*ln(1+5*x) revegf] A013710 37.2878 [-25/(-1+25*x) lgdogf] A013710 9.35043 [{a(n+1)-25*a(n),a(0)=5} ogf] A013711 10.2702 [{a(n+1)-36*a(n),a(0)=6} ogf] A013711 12.96 [-36*f(x)*x+f(x)-6 ogf] A013711 20.9353 [-6/(36*x-1) ogf] A013711 38.1061 [1/36*ln(1+6*x) revegf] A013711 41.0374 [-36/(-1+36*x) lgdogf] A013712 10.9855 [{a(n+1)-49*a(n),a(0)=7} ogf] A013712 13.8626 [-49*f(x)*x+f(x)-7 ogf] A013712 22.3935 [-7/(49*x-1) ogf] A013712 40.8142 [1/49*ln(1+7*x) revegf] A013712 43.9537 [-49/(-1+49*x) lgdogf] A013713 12.5669 [-64*f(x)*x+f(x)-8 ogf] A013713 20.3005 [-8/(64*x-1) ogf] A013713 36.9468 [1/64*ln(8*x+1) revegf] A013713 39.7889 [-64/(-1+64*x) lgdogf] A013713 9.95872 [{a(n+1)-64*a(n),a(0)=8} ogf] A013714 10.4567 [{a(n+1)-81*a(n),a(0)=9} ogf] A013714 13.1953 [-81*f(x)*x+f(x)-9 ogf] A013714 21.3155 [-9/(81*x-1) ogf] A013714 38.8319 [1/81*ln(1+9*x) revegf] A013714 41.8190 [-81/(-1+81*x) lgdogf] A013715 15.1757 [-10/(100*x-1) ogf] A013715 25.9362 [1/100*ln(1+10*x) revegf] A013715 27.6653 [-100/(-1+100*x) lgdogf] A013715 7.72582 [{a(n+1)-100*a(n),a(0)=10} ogf] A013715 9.65725 [-100*f(x)*x+f(x)-10 ogf] A013716 15.1757 [-11/(121*x-1) ogf] A013716 25.9362 [1/121*ln(1+11*x) revegf] A013716 27.6653 [-121/(-1+121*x) lgdogf] A013716 7.72582 [{a(n+1)-121*a(n),a(0)=11} ogf] A013716 9.65725 [-121*f(x)*x+f(x)-11 ogf] A013717 15.7082 [-12/(144*x-1) ogf] A013717 26.8681 [1/144*ln(1+12*x) revegf] A013717 28.6593 [-144/(-1+144*x) lgdogf] A013717 7.99689 [{a(n+1)-144*a(n),a(0)=12} ogf] A013717 9.9961 [-144*f(x)*x+f(x)-12 ogf] A013718 10.2785 [-169*f(x)*x+f(x)-13 ogf] A013718 16.1519 [-13/(169*x-1) ogf] A013718 27.6446 [1/169*ln(1+13*x) revegf] A013718 29.4876 [-169/(-1+169*x) lgdogf] A013718 8.22280 [{a(n+1)-169*a(n),a(0)=13} ogf] A013719 10.5609 [-196*f(x)*x+f(x)-14 ogf] A013719 16.5956 [-14/(196*x-1) ogf] A013719 28.4212 [1/196*ln(1+14*x) revegf] A013719 30.3159 [-196/(-1+196*x) lgdogf] A013719 8.44869 [{a(n+1)-196*a(n),a(0)=14} ogf] A013720 10.7303 [-225*f(x)*x+f(x)-15 ogf] A013720 16.8619 [-15/(225*x-1) ogf] A013720 28.8871 [1/225*ln(1+15*x) revegf] A013720 30.8129 [-225/(-1+225*x) lgdogf] A013720 8.58424 [{a(n+1)-225*a(n),a(0)=15} ogf] A013721 11.0127 [-256*f(x)*x+f(x)-16 ogf] A013721 17.3056 [-16/(256*x-1) ogf] A013721 29.6636 [1/256*ln(1+16*x) revegf] A013721 31.6412 [-256/(-1+256*x) lgdogf] A013721 8.81013 [{a(n+1)-256*a(n),a(0)=16} ogf] A013722 14.3874 [-17/(289*x-1) ogf] A013722 24.5785 [1/289*ln(1+17*x) revegf] A013722 26.2170 [-289/(-1+289*x) lgdogf] A013722 7.32449 [{a(n+1)-289*a(n),a(0)=17} ogf] A013722 9.1556 [-289*f(x)*x+f(x)-17 ogf] A013723 14.6443 [-18/(324*x-1) ogf] A013723 25.0281 [1/324*ln(1+18*x) revegf] A013723 26.6966 [-324/(-1+324*x) lgdogf] A013723 7.45529 [{a(n+1)-324*a(n),a(0)=18} ogf] A013723 9.31909 [-324*f(x)*x+f(x)-18 ogf] A013724 14.9012 [-19/(361*x-1) ogf] A013724 25.4777 [1/361*ln(1+19*x) revegf] A013724 27.1762 [-361/(-1+361*x) lgdogf] A013724 7.58609 [{a(n+1)-361*a(n),a(0)=19} ogf] A013724 9.48259 [-361*f(x)*x+f(x)-19 ogf] A013725 15.1581 [-20/(400*x-1) ogf] A013725 25.9273 [1/400*ln(1+20*x) revegf] A013725 27.6558 [-400/(-1+400*x) lgdogf] A013725 7.71687 [{a(n+1)-400*a(n),a(0)=20} ogf] A013725 9.64608 [-400*f(x)*x+f(x)-20 ogf] A013726 15.3294 [-21/(441*x-1) ogf] A013726 26.2270 [1/441*ln(1+21*x) revegf] A013726 27.9755 [-441/(-1+441*x) lgdogf] A013726 7.80407 [{a(n+1)-441*a(n),a(0)=21} ogf] A013726 9.75507 [-441*f(x)*x+f(x)-21 ogf] A013727 15.6720 [-22/(484*x-1) ogf] A013727 26.8265 [1/484*ln(1+22*x) revegf] A013727 28.6149 [-484/(-1+484*x) lgdogf] A013727 7.97847 [{a(n+1)-484*a(n),a(0)=22} ogf] A013727 9.97306 [-484*f(x)*x+f(x)-22 ogf] A013728 10.0276 [-529*f(x)*x+f(x)-23 ogf] A013728 15.7576 [-23/(529*x-1) ogf] A013728 26.9764 [1/529*ln(1+23*x) revegf] A013728 28.7748 [-529/(-1+529*x) lgdogf] A013728 8.02207 [{a(n+1)-529*a(n),a(0)=23} ogf] A013729 10.1366 [-576*f(x)*x+f(x)-24 ogf] A013729 15.9289 [-24/(576*x-1) ogf] A013729 27.2761 [1/576*ln(1+24*x) revegf] A013729 29.0945 [-576/(-1+576*x) lgdogf] A013729 8.10925 [{a(n+1)-576*a(n),a(0)=24} ogf] A013730 12.1558 [{a(n+1)-8*a(n),a(0)=2} ogf] A013730 15.4171 [-8*f(x)*x+f(x)-2 ogf] A013730 25.2840 [-2/(8*x-1) ogf] A013730 47.7012 [1/2*x/(1+4*x) revogf] A013730 56.3742 [-8/(-1+8*x) lgdogf] A013731 12.5014 [{a(n+1)-8*a(n),a(0)=4} ogf] A013731 15.8555 [-8*f(x)*x+f(x)-4 ogf] A013731 26.0029 [-4/(8*x-1) ogf] A013731 49.0839 [1/4*x/(2*x+1) revogf] A013731 58.0082 [-8/(-1+8*x) lgdogf] A013732 10.7765 [{a(n+1)-27*a(n),a(0)=3} ogf] A013732 13.5989 [-27*f(x)*x+f(x)-3 ogf] A013732 21.9675 [-3/(27*x-1) ogf] A013732 40.0045 [1/27*ln(1+9*x) revegf] A013732 43.0818 [-27/(-1+27*x) lgdogf] A013733 11.1427 [{a(n+1)-27*a(n),a(0)=9} ogf] A013733 14.061 [-27*f(x)*x+f(x)-9 ogf] A013733 22.7139 [-9/(27*x-1) ogf] A013733 41.3908 [1/27*ln(1+3*x) revegf] A013734 12.4413 [-64*f(x)*x+f(x)-4 ogf] A013734 20.0975 [-4/(64*x-1) ogf] A013734 34.1318 [1/64*ln(1+16*x) revegf] A013734 39.3829 [-64/(-1+64*x) lgdogf] A013734 9.85913 [{a(n+1)-64*a(n),a(0)=4} ogf] A013735 10.0675 [{a(n+1)-64*a(n),a(0)=16} ogf] A013735 12.6429 [-64*f(x)*x+f(x)-16 ogf] A013735 20.1350 [-16/(64*x-1) ogf] A013735 38.0779 [1/16*x/(1+4*x) revogf] A013735 41.0069 [-64/(-1+64*x) lgdogf] A013736 11.5721 [-125*f(x)*x+f(x)-5 ogf] A013736 18.4296 [-5/(125*x-1) ogf] A013736 30.4588 [1/125*ln(1+25*x) revegf] A013736 32.4894 [-125/(-1+125*x) lgdogf] A013736 9.21481 [{a(n+1)-125*a(n),a(0)=5} ogf] A013737 11.892 [-125*f(x)*x+f(x)-25 ogf] A013737 18.6875 [-25/(125*x-1) ogf] A013737 34.1993 [1/125*ln(1+5*x) revegf] A013737 34.1993 [-125/(-1+125*x) lgdogf] A013737 9.51364 [{a(n+1)-125*a(n),a(0)=25} ogf] A013738 10.6909 [-216*f(x)*x+f(x)-6 ogf] A013738 17.0262 [-6/(216*x-1) ogf] A013738 28.1105 [1/216*ln(1+36*x) revegf] A013738 29.9846 [-216/(-1+216*x) lgdogf] A013738 8.51311 [{a(n+1)-216*a(n),a(0)=6} ogf] A013739 10.8997 [-216*f(x)*x+f(x)-36 ogf] A013739 17.1281 [-36/(216*x-1) ogf] A013739 31.3099 [1/216*ln(1+6*x) revegf] A013739 31.3099 [-216/(-1+216*x) lgdogf] A013739 8.71978 [{a(n+1)-216*a(n),a(0)=36} ogf] A013740 11.4421 [-343*f(x)*x+f(x)-7 ogf] A013740 18.2227 [-7/(343*x-1) ogf] A013740 30.1295 [1/343*ln(1+49*x) revegf] A013740 32.1382 [-343/(-1+343*x) lgdogf] A013740 9.11133 [{a(n+1)-343*a(n),a(0)=7} ogf] A013741 11.7468 [-343*f(x)*x+f(x)-49 ogf] A013741 18.4593 [-49/(343*x-1) ogf] A013741 33.7948 [1/343*ln(1+7*x) revegf] A013741 33.7948 [-343/(-1+343*x) lgdogf] A013741 9.39747 [{a(n+1)-343*a(n),a(0)=49} ogf] A013742 12.1356 [-512*f(x)*x+f(x)-8 ogf] A013742 19.3271 [-8/(512*x-1) ogf] A013742 31.9932 [1/512*ln(1+64*x) revegf] A013742 34.1261 [-512/(-1+512*x) lgdogf] A013742 9.66354 [{a(n+1)-512*a(n),a(0)=8} ogf] A013743 12.481 [-512*f(x)*x+f(x)-64 ogf] A013743 19.6130 [-64/(512*x-1) ogf] A013743 35.9484 [1/512*ln(8*x+1) revegf] A013743 35.9484 [-512/(-1+512*x) lgdogf] A013743 9.98482 [{a(n+1)-512*a(n),a(0)=64} ogf] A013744 10.3723 [-729*f(x)*x+f(x)-9 ogf] A013744 16.5189 [-9/(729*x-1) ogf] A013744 27.2761 [1/729*ln(1+81*x) revegf] A013744 29.0945 [-729/(-1+729*x) lgdogf] A013744 8.25943 [{a(n+1)-729*a(n),a(0)=9} ogf] A013745 10.736 [-729*f(x)*x+f(x)-81 ogf] A013745 16.8709 [-81/(729*x-1) ogf] A013745 30.8530 [1/729*ln(1+9*x) revegf] A013745 30.8530 [-729/(-1+729*x) lgdogf] A013745 8.58884 [{a(n+1)-729*a(n),a(0)=81} ogf] A013746 20.9792 [1/1000*ln(1+100*x) revegf] A013746 22.2132 [-1000/(-1+1000*x) lgdogf] A013746 8.59632 [-1000*f(x)*x+f(x)-10 ogf] A013747 23.5677 [1/1000*ln(1+10*x) revegf] A013747 23.5677 [-1000/(-1+1000*x) lgdogf] A013747 8.91 [-1000*f(x)*x+f(x)-100 ogf] A013748 10.8705 [-1331*f(x)*x+f(x)-11 ogf] A013748 16.8680 [-11/(1331*x-1) ogf] A013748 26.6433 [1/1331*ln(1+121*x) revegf] A013748 28.2106 [-1331/(-1+1331*x) lgdogf] A013748 8.73521 [{a(n+1)-1331*a(n),a(0)=11} ogf] A013749 11.2076 [-1331*f(x)*x+f(x)-121 ogf] A013749 17.1849 [-121/(1331*x-1) ogf] A013749 29.7622 [1/1331*ln(1+11*x) revegf] A013749 29.7622 [-1331/(-1+1331*x) lgdogf] A013749 9.04470 [{a(n+1)-1331*a(n),a(0)=121} ogf] A013750 21.8746 [1/1728*ln(1+144*x) revegf] A013750 23.1613 [-1728/(-1+1728*x) lgdogf] A013750 8.9545 [-1728*f(x)*x+f(x)-12 ogf] A013751 19.2580 [1/1728*ln(1+12*x) revegf] A013751 19.2580 [-1728/(-1+1728*x) lgdogf] A013751 7.30816 [-1728*f(x)*x+f(x)-144 ogf] A013752 17.4557 [1/2197*ln(1+169*x) revegf] A013752 18.4825 [-2197/(-1+2197*x) lgdogf] A013752 7.1776 [-2197*f(x)*x+f(x)-13 ogf] A013753 11.6398 [{a(n+1)-2197*a(n),a(0)=169} ogf] A013753 14.4233 [-2197*f(x)*x+f(x)-169 ogf] A013753 22.1157 [-169/(2197*x-1) ogf] A013753 38.4430 [1/2197*ln(1+13*x) revegf] A013753 38.4430 [-2197/(-1+2197*x) lgdogf] A013754 11.6258 [{a(n+1)-2744*a(n),a(0)=14} ogf] A013754 14.4677 [-2744*f(x)*x+f(x)-14 ogf] A013754 22.4499 [-14/(2744*x-1) ogf] A013754 35.6170 [1/2744*ln(1+196*x) revegf] A013754 37.7122 [-2744/(-1+2744*x) lgdogf] A013755 12.198 [-2744*f(x)*x+f(x)-196 ogf] A013755 18.7036 [-196/(2744*x-1) ogf] A013755 32.4422 [1/2744*ln(1+14*x) revegf] A013755 32.4422 [-2744/(-1+2744*x) lgdogf] A013755 9.84402 [{a(n+1)-2744*a(n),a(0)=196} ogf] A013756 12.0428 [-3375*f(x)*x+f(x)-15 ogf] A013756 18.6871 [-15/(3375*x-1) ogf] A013756 29.5741 [1/3375*ln(1+225*x) revegf] A013756 31.3138 [-3375/(-1+3375*x) lgdogf] A013756 9.67723 [{a(n+1)-3375*a(n),a(0)=15} ogf] A013757 10.0112 [-3375*f(x)*x+f(x)-225 ogf] A013757 26.5475 [1/3375*ln(1+15*x) revegf] A013757 26.5475 [-3375/(-1+3375*x) lgdogf] A013758 24.1772 [1/4096*ln(1+256*x) revegf] A013758 25.5994 [-4096/(-1+4096*x) lgdogf] A013758 9.87553 [-4096*f(x)*x+f(x)-16 ogf] A013759 16.1462 [1/4096*ln(1+16*x) revegf] A013759 16.1462 [-4096/(-1+4096*x) lgdogf] A013759 6.14791 [-4096*f(x)*x+f(x)-256 ogf] A013760 14.3250 [1/4913*ln(1+289*x) revegf] A013760 15.1677 [-4913/(-1+4913*x) lgdogf] A013760 5.91486 [-4913*f(x)*x+f(x)-17 ogf] A013761 10.4117 [-4913*f(x)*x+f(x)-289 ogf] A013761 27.6311 [1/4913*ln(1+17*x) revegf] A013761 27.6311 [-4913/(-1+4913*x) lgdogf] A013762 19.5308 [1/5832*ln(1+324*x) revegf] A013762 20.6797 [-5832/(-1+5832*x) lgdogf] A013762 8.00766 [-5832*f(x)*x+f(x)-18 ogf] A013763 22.1014 [1/5832*ln(1+18*x) revegf] A013763 22.1014 [-5832/(-1+5832*x) lgdogf] A013763 8.35901 [-5832*f(x)*x+f(x)-324 ogf] A013764 19.7750 [1/6859*ln(1+361*x) revegf] A013764 20.9382 [-6859/(-1+6859*x) lgdogf] A013764 8.10532 [-6859*f(x)*x+f(x)-19 ogf] A013765 22.4892 [1/6859*ln(1+19*x) revegf] A013765 22.4892 [-6859/(-1+6859*x) lgdogf] A013765 8.5023 [-6859*f(x)*x+f(x)-361 ogf] A013766 10.5919 [-8000*f(x)*x+f(x)-20 ogf] A013766 25.9681 [1/8000*ln(1+400*x) revegf] A013766 27.4956 [-8000/(-1+8000*x) lgdogf] A013767 11.0124 [-8000*f(x)*x+f(x)-400 ogf] A013767 29.2564 [1/8000*ln(1+20*x) revegf] A013767 29.2564 [-8000/(-1+8000*x) lgdogf] A013768 10.8989 [-9261*f(x)*x+f(x)-21 ogf] A013768 26.7356 [1/9261*ln(1+441*x) revegf] A013768 28.3083 [-9261/(-1+9261*x) lgdogf] A013769 11.1625 [-9261*f(x)*x+f(x)-441 ogf] A013769 29.6628 [1/9261*ln(1+21*x) revegf] A013769 29.6628 [-9261/(-1+9261*x) lgdogf] A013770 10.662 [-10648*f(x)*x+f(x)-22 ogf] A013770 25.3285 [1/10648*ln(1+484*x) revegf] A013770 25.3285 [-10648/(-1+10648*x) lgdogf] A013771 10.925 [-10648*f(x)*x+f(x)-484 ogf] A013771 26.5404 [-10648/(-1+10648*x) lgdogf] A013771 28.0148 [1/10648*ln(1+22*x) revegf] A013772 10.7621 [-12167*f(x)*x+f(x)-23 ogf] A013772 25.5709 [1/12167*ln(1+529*x) revegf] A013772 25.5709 [-12167/(-1+12167*x) lgdogf] A013773 21.2783 [-12167/(-1+12167*x) lgdogf] A013773 22.4605 [1/12167*ln(1+23*x) revegf] A013773 8.7889 [-12167*f(x)*x+f(x)-529 ogf] A013774 20.1219 [1/13824*ln(1+576*x) revegf] A013774 20.1219 [-13824/(-1+13824*x) lgdogf] A013774 8.5023 [-13824*f(x)*x+f(x)-24 ogf] A013775 16.3072 [-13824/(-1+13824*x) lgdogf] A013775 17.2131 [1/13824*ln(1+24*x) revegf] A013775 6.76925 [-13824*f(x)*x+f(x)-576 ogf] A013776 11.6185 [-16*f(x)*x+f(x)-2 ogf] A013776 18.7683 [-2/(16*x-1) ogf] A013776 34.0632 [1/16*ln(8*x+1) revegf] A013776 36.6835 [-16/(-1+16*x) lgdogf] A013776 9.20709 [{a(n+1)-16*a(n),a(0)=2} ogf] A013777 12.2126 [-16*f(x)*x+f(x)-8 ogf] A013777 19.7280 [-8/(16*x-1) ogf] A013777 35.8456 [1/16*ln(1+2*x) revegf] A013777 41.8199 [-16/(16*x-1) lgdogf] A013777 9.67791 [{a(n+1)-16*a(n),a(0)=8} ogf] A013778 10.2077 [{a(n+1)-81*a(n),a(0)=3} ogf] A013778 12.8811 [-81*f(x)*x+f(x)-3 ogf] A013778 20.8080 [-3/(81*x-1) ogf] A013778 35.3634 [1/81*ln(1+27*x) revegf] A013778 40.8039 [-81/(-1+81*x) lgdogf] A013779 11.3335 [-81*f(x)*x+f(x)-27 ogf] A013779 18.0496 [-27/(81*x-1) ogf] A013779 34.0772 [1/27*x/(1+3*x) revogf] A013779 36.6985 [-81/(-1+81*x) lgdogf] A013779 9.02481 [{a(n+1)-81*a(n),a(0)=27} ogf] A013780 10.8642 [-256*f(x)*x+f(x)-4 ogf] A013780 17.3023 [-4/(256*x-1) ogf] A013780 28.5765 [1/256*ln(1+64*x) revegf] A013780 30.4816 [-256/(-1+256*x) lgdogf] A013780 8.65117 [{a(n+1)-256*a(n),a(0)=4} ogf] A013781 11.408 [-256*f(x)*x+f(x)-64 ogf] A013781 17.9269 [-64/(256*x-1) ogf] A013781 32.8008 [1/256*ln(1+4*x) revegf] A013781 32.8008 [-256/(-1+256*x) lgdogf] A013781 9.12640 [{a(n+1)-256*a(n),a(0)=64} ogf] A013782 10.0935 [-625*f(x)*x+f(x)-5 ogf] A013782 16.0748 [-5/(625*x-1) ogf] A013782 24.9664 [1/625*ln(1+125*x) revegf] A013782 8.03741 [{a(n+1)-625*a(n),a(0)=5} ogf] A013783 10.4975 [-625*f(x)*x+f(x)-125 ogf] A013783 16.2892 [-125/(625*x-1) ogf] A013783 30.8530 [1/125*x/(1+5*x) revogf] A013783 30.8530 [-625/(-1+625*x) lgdogf] A013783 8.43546 [{a(n+1)-625*a(n),a(0)=125} ogf] A013784 10.845 [-1296*f(x)*x+f(x)-6 ogf] A013784 17.0422 [-6/(1296*x-1) ogf] A013784 25.9773 [1/1296*ln(1+216*x) revegf] A013784 27.5053 [-1296/(-1+1296*x) lgdogf] A013784 8.67604 [{a(n+1)-1296*a(n),a(0)=6} ogf] A013785 11.3118 [-1296*f(x)*x+f(x)-216 ogf] A013785 17.3448 [-216/(1296*x-1) ogf] A013785 30.0443 [-1296/(-1+1296*x) lgdogf] A013785 31.9220 [1/1296*ln(1+6*x) revegf] A013785 9.12884 [{a(n+1)-1296*a(n),a(0)=216} ogf] A013786 11.6625 [-2401*f(x)*x+f(x)-7 ogf] A013786 18.3268 [-7/(2401*x-1) ogf] A013786 27.9755 [1/2401*ln(1+343*x) revegf] A013786 29.6211 [-2401/(-1+2401*x) lgdogf] A013786 9.33002 [{a(n+1)-2401*a(n),a(0)=7} ogf] A013787 12.1459 [-2401*f(x)*x+f(x)-343 ogf] A013787 18.6237 [-343/(2401*x-1) ogf] A013787 32.3011 [-2401/(-1+2401*x) lgdogf] A013787 34.3199 [1/2401*ln(1+7*x) revegf] A013787 9.80195 [{a(n+1)-2401*a(n),a(0)=343} ogf] A013788 12.4255 [-4096*f(x)*x+f(x)-8 ogf] A013788 19.5258 [-8/(4096*x-1) ogf] A013788 29.8405 [1/4096*ln(1+512*x) revegf] A013788 31.5959 [-4096/(-1+4096*x) lgdogf] A013788 9.94038 [{a(n+1)-4096*a(n),a(0)=8} ogf] A013789 10.3616 [-4096*f(x)*x+f(x)-512 ogf] A013789 27.4956 [-4096/(-1+4096*x) lgdogf] A013789 29.2141 [1/4096*ln(8*x+1) revegf] A013790 10.414 [-6561*f(x)*x+f(x)-9 ogf] A013790 24.9447 [1/6561*ln(1+729*x) revegf] A013790 26.4121 [-6561/(-1+6561*x) lgdogf] A013791 10.9123 [-6561*f(x)*x+f(x)-729 ogf] A013791 28.9855 [-6561/(-1+6561*x) lgdogf] A013791 30.7971 [1/6561*ln(1+9*x) revegf] A013792 10.662 [-10000*f(x)*x+f(x)-10 ogf] A013792 24.0621 [1/10000*ln(1+1000*x) revegf] A013792 25.3285 [-10000/(-1+10000*x) lgdogf] A013793 21.7409 [-10000/(-1+10000*x) lgdogf] A013793 22.9487 [1/10000*ln(1+10*x) revegf] A013793 8.7889 [-10000*f(x)*x+f(x)-1000 ogf] A013794 10.8622 [-14641*f(x)*x+f(x)-11 ogf] A013794 24.5226 [1/14641*ln(1+1331*x) revegf] A013794 25.8132 [-14641/(-1+14641*x) lgdogf] A013795 22.0878 [-14641/(-1+14641*x) lgdogf] A013795 23.3149 [1/14641*ln(1+11*x) revegf] A013795 8.92622 [-14641*f(x)*x+f(x)-1331 ogf] A013796 11.1625 [-20736*f(x)*x+f(x)-12 ogf] A013796 25.2134 [1/20736*ln(1+1728*x) revegf] A013796 26.5404 [-20736/(-1+20736*x) lgdogf] A013797 22.7817 [-20736/(-1+20736*x) lgdogf] A013797 24.0474 [1/20736*ln(1+12*x) revegf] A013797 9.20088 [-20736*f(x)*x+f(x)-1728 ogf] A013798 20.1046 [1/28561*ln(1+2197*x) revegf] A013798 21.1627 [-28561/(-1+28561*x) lgdogf] A013798 8.9322 [-28561*f(x)*x+f(x)-13 ogf] A013799 23.4756 [-28561/(-1+28561*x) lgdogf] A013799 24.7798 [1/28561*ln(1+13*x) revegf] A013799 9.47553 [-28561*f(x)*x+f(x)-2197 ogf] A013800 20.6539 [1/38416*ln(1+2744*x) revegf] A013800 21.7409 [-38416/(-1+38416*x) lgdogf] A013800 9.17102 [-38416*f(x)*x+f(x)-14 ogf] A013801 24.1694 [-38416/(-1+38416*x) lgdogf] A013801 25.5122 [1/38416*ln(1+14*x) revegf] A013801 9.75018 [-38416*f(x)*x+f(x)-2744 ogf] A013802 21.0933 [1/50625*ln(1+3375*x) revegf] A013802 22.2035 [-50625/(-1+50625*x) lgdogf] A013802 9.36209 [-50625*f(x)*x+f(x)-15 ogf] A013803 24.7476 [-50625/(-1+50625*x) lgdogf] A013803 26.1225 [1/50625*ln(1+15*x) revegf] A013803 9.97906 [-50625*f(x)*x+f(x)-3375 ogf] A013804 21.6426 [1/65536*ln(1+4096*x) revegf] A013804 22.7817 [-65536/(-1+65536*x) lgdogf] A013804 9.60092 [-65536*f(x)*x+f(x)-16 ogf] A013805 10.2079 [-65536*f(x)*x+f(x)-4096 ogf] A013805 25.3259 [-65536/(-1+65536*x) lgdogf] A013805 26.7328 [1/65536*ln(1+16*x) revegf] A013806 21.9722 [1/83521*ln(1+4913*x) revegf] A013806 23.1286 [-83521/(-1+83521*x) lgdogf] A013806 9.74421 [-83521*f(x)*x+f(x)-17 ogf] A013807 10.4368 [-83521*f(x)*x+f(x)-4913 ogf] A013807 25.9041 [-83521/(-1+83521*x) lgdogf] A013807 27.3432 [1/83521*ln(1+17*x) revegf] A013808 21.5537 [1/104976*ln(1+5832*x) revegf] A013808 21.5537 [-104976/(-1+104976*x) lgdogf] A013808 9.81739 [-104976*f(x)*x+f(x)-18 ogf] A013809 10.2238 [-104976*f(x)*x+f(x)-5832 ogf] A013809 23.4370 [-104976/(-1+104976*x) lgdogf] A013809 25.9041 [1/104976*ln(1+18*x) revegf] A013810 21.7629 [1/130321*ln(1+6859*x) revegf] A013810 21.7629 [-130321/(-1+130321*x) lgdogf] A013810 9.91089 [-130321*f(x)*x+f(x)-19 ogf] A013811 10.5377 [-130321*f(x)*x+f(x)-6859 ogf] A013811 24.1694 [-130321/(-1+130321*x) lgdogf] A013811 26.7136 [1/130321*ln(1+19*x) revegf] A013812 10.0511 [-160000*f(x)*x+f(x)-20 ogf] A013812 22.0768 [1/160000*ln(1+8000*x) revegf] A013812 22.0768 [-160000/(-1+160000*x) lgdogf] A013813 10.7171 [-160000*f(x)*x+f(x)-8000 ogf] A013813 24.5879 [-160000/(-1+160000*x) lgdogf] A013813 27.1761 [1/160000*ln(1+20*x) revegf] A013814 10.2381 [-194481*f(x)*x+f(x)-21 ogf] A013814 22.4953 [1/194481*ln(1+9261*x) revegf] A013814 22.4953 [-194481/(-1+194481*x) lgdogf] A013815 10.8516 [-194481*f(x)*x+f(x)-9261 ogf] A013815 24.9018 [-194481/(-1+194481*x) lgdogf] A013815 27.5231 [1/194481*ln(1+21*x) revegf] A013816 10.3784 [-234256*f(x)*x+f(x)-22 ogf] A013816 21.7725 [1/234256*ln(1+10648*x) revegf] A013816 22.8092 [-234256/(-1+234256*x) lgdogf] A013817 19.2101 [-234256/(-1+234256*x) lgdogf] A013817 21.2322 [1/234256*ln(1+22*x) revegf] A013817 8.23459 [-234256*f(x)*x+f(x)-10648 ogf] A013818 10.5186 [-279841*f(x)*x+f(x)-23 ogf] A013818 22.0721 [1/279841*ln(1+12167*x) revegf] A013818 23.1231 [-279841/(-1+279841*x) lgdogf] A013819 19.4081 [-279841/(-1+279841*x) lgdogf] A013819 21.4511 [1/279841*ln(1+23*x) revegf] A013819 8.31777 [-279841*f(x)*x+f(x)-12167 ogf] A013820 10.6121 [-331776*f(x)*x+f(x)-24 ogf] A013820 22.2718 [1/331776*ln(1+13824*x) revegf] A013820 23.3324 [-331776/(-1+331776*x) lgdogf] A013821 19.7052 [-331776/(-1+331776*x) lgdogf] A013821 21.7794 [1/331776*ln(1+24*x) revegf] A013821 8.44253 [-331776*f(x)*x+f(x)-13824 ogf] A013822 12.0573 [-32*f(x)*x+f(x)-2 ogf] A013822 19.4771 [-2/(32*x-1) ogf] A013822 33.0382 [1/32*ln(1+16*x) revegf] A013822 38.1210 [-32/(-1+32*x) lgdogf] A013822 9.55481 [{a(n+1)-32*a(n),a(0)=2} ogf] A013823 12.5086 [-32*f(x)*x+f(x)-4 ogf] A013823 20.2062 [-4/(32*x-1) ogf] A013823 36.7521 [1/32*ln(8*x+1) revegf] A013823 39.5792 [-32/(-1+32*x) lgdogf] A013823 9.91249 [{a(n+1)-32*a(n),a(0)=4} ogf] A013824 12.5086 [-32*f(x)*x+f(x)-8 ogf] A013824 20.2062 [-8/(32*x-1) ogf] A013824 36.7521 [1/32*ln(1+4*x) revegf] A013824 39.5792 [-32/(-1+32*x) lgdogf] A013824 9.91249 [{a(n+1)-32*a(n),a(0)=8} ogf] A013825 10.1301 [{a(n+1)-32*a(n),a(0)=16} ogf] A013825 12.7215 [-32*f(x)*x+f(x)-16 ogf] A013825 20.2602 [-16/(32*x-1) ogf] A013825 38.2996 [1/16*x/(2*x+1) revogf] A013825 41.2457 [-32/(-1+32*x) lgdogf] A013826 10.6331 [-243*f(x)*x+f(x)-3 ogf] A013826 16.9342 [-3/(243*x-1) ogf] A013826 27.9552 [1/243*ln(1+81*x) revegf] A013826 29.8189 [-243/(-1+243*x) lgdogf] A013826 8.46709 [{a(n+1)-243*a(n),a(0)=3} ogf] A013827 10.9798 [-243*f(x)*x+f(x)-9 ogf] A013827 17.4864 [-9/(243*x-1) ogf] A013827 28.8871 [1/243*ln(1+27*x) revegf] A013827 30.8129 [-243/(-1+243*x) lgdogf] A013827 8.74320 [{a(n+1)-243*a(n),a(0)=9} ogf] A013828 11.0127 [-243*f(x)*x+f(x)-27 ogf] A013828 17.3056 [-27/(243*x-1) ogf] A013828 31.6412 [1/243*ln(1+9*x) revegf] A013828 31.6412 [-243/(-1+243*x) lgdogf] A013828 8.81013 [{a(n+1)-243*a(n),a(0)=27} ogf] A013829 11.3515 [-243*f(x)*x+f(x)-81 ogf] A013829 17.8381 [-81/(243*x-1) ogf] A013829 32.6352 [1/243*ln(1+3*x) revegf] A013829 32.6352 [-243/(-1+243*x) lgdogf] A013829 9.08122 [{a(n+1)-243*a(n),a(0)=81} ogf] A013830 10.3545 [-1024*f(x)*x+f(x)-4 ogf] A013830 16.2715 [-4/(1024*x-1) ogf] A013830 24.7783 [1/1024*ln(1+256*x) revegf] A013830 26.2358 [-1024/(-1+1024*x) lgdogf] A013830 8.28365 [{a(n+1)-1024*a(n),a(0)=4} ogf] A013831 10.7106 [-1024*f(x)*x+f(x)-16 ogf] A013831 16.6199 [-16/(1024*x-1) ogf] A013831 27.7874 [1/1024*ln(1+64*x) revegf] A013831 27.7874 [-1024/(-1+1024*x) lgdogf] A013831 8.60675 [{a(n+1)-1024*a(n),a(0)=16} ogf] A013832 10.7106 [-1024*f(x)*x+f(x)-64 ogf] A013832 16.6199 [-64/(1024*x-1) ogf] A013832 27.7874 [1/1024*ln(1+16*x) revegf] A013832 27.7874 [-1024/(-1+1024*x) lgdogf] A013832 8.60675 [{a(n+1)-1024*a(n),a(0)=64} ogf] A013833 11.0512 [-1024*f(x)*x+f(x)-256 ogf] A013833 16.9452 [-256/(1024*x-1) ogf] A013833 29.3390 [-1024/(-1+1024*x) lgdogf] A013833 31.1727 [1/1024*ln(1+4*x) revegf] A013833 8.91851 [{a(n+1)-1024*a(n),a(0)=256} ogf] A013834 11.9895 [-3125*f(x)*x+f(x)-5 ogf] A013834 18.8406 [-5/(3125*x-1) ogf] A013834 28.7748 [1/3125*ln(1+625*x) revegf] A013834 30.4674 [-3125/(-1+3125*x) lgdogf] A013834 9.59160 [{a(n+1)-3125*a(n),a(0)=5} ogf] A013835 12.0428 [-3125*f(x)*x+f(x)-25 ogf] A013835 18.6871 [-25/(3125*x-1) ogf] A013835 29.5741 [1/3125*ln(1+125*x) revegf] A013835 31.3138 [-3125/(-1+3125*x) lgdogf] A013835 9.67723 [{a(n+1)-3125*a(n),a(0)=25} ogf] A013836 26.2766 [1/3125*ln(1+25*x) revegf] A013836 26.2766 [-3125/(-1+3125*x) lgdogf] A013836 9.91113 [-3125*f(x)*x+f(x)-125 ogf] A013837 10.1614 [-3125*f(x)*x+f(x)-625 ogf] A013837 26.9538 [-3125/(-1+3125*x) lgdogf] A013837 28.6385 [1/3125*ln(1+5*x) revegf] A013838 10.5186 [-7776*f(x)*x+f(x)-6 ogf] A013838 23.8742 [1/7776*ln(1+1296*x) revegf] A013838 26.6830 [-7776/(-1+7776*x) lgdogf] A013839 10.6942 [-7776*f(x)*x+f(x)-36 ogf] A013839 26.2239 [1/7776*ln(1+216*x) revegf] A013839 27.7665 [-7776/(-1+7776*x) lgdogf] A013840 10.8622 [-7776*f(x)*x+f(x)-216 ogf] A013840 28.8501 [1/7776*ln(1+36*x) revegf] A013840 28.8501 [-7776/(-1+7776*x) lgdogf] A013841 11.023 [-7776*f(x)*x+f(x)-1296 ogf] A013841 29.9337 [-7776/(-1+7776*x) lgdogf] A013841 31.8045 [1/1296*x/(6*x+1) revogf] A013842 11.0524 [-16807*f(x)*x+f(x)-7 ogf] A013842 24.4075 [1/16807*ln(1+2401*x) revegf] A013842 25.6921 [-16807/(-1+16807*x) lgdogf] A013843 11.2626 [-16807*f(x)*x+f(x)-49 ogf] A013843 26.7828 [1/16807*ln(1+343*x) revegf] A013843 26.7828 [-16807/(-1+16807*x) lgdogf] A013844 21.6253 [-16807/(-1+16807*x) lgdogf] A013844 22.8267 [1/16807*ln(1+49*x) revegf] A013844 8.92915 [-16807*f(x)*x+f(x)-343 ogf] A013845 22.5504 [-16807/(-1+16807*x) lgdogf] A013845 25.2034 [1/16807*ln(1+7*x) revegf] A013845 9.10933 [-16807*f(x)*x+f(x)-2401 ogf] A013846 19.9947 [1/32768*ln(1+4096*x) revegf] A013846 21.0471 [-32768/(-1+32768*x) lgdogf] A013846 9.08186 [-32768*f(x)*x+f(x)-8 ogf] A013847 21.9722 [1/32768*ln(1+512*x) revegf] A013847 21.9722 [-32768/(-1+32768*x) lgdogf] A013847 9.26656 [-32768*f(x)*x+f(x)-64 ogf] A013848 23.0130 [-32768/(-1+32768*x) lgdogf] A013848 24.2915 [1/32768*ln(1+64*x) revegf] A013848 9.49014 [-32768*f(x)*x+f(x)-512 ogf] A013849 24.0538 [-32768/(-1+32768*x) lgdogf] A013849 26.8836 [1/32768*ln(8*x+1) revegf] A013849 9.70441 [-32768*f(x)*x+f(x)-4096 ogf] A013850 21.2032 [1/59049*ln(1+6561*x) revegf] A013850 22.3191 [-59049/(-1+59049*x) lgdogf] A013850 9.61896 [-59049*f(x)*x+f(x)-9 ogf] A013851 23.2443 [1/59049*ln(1+729*x) revegf] A013851 23.2443 [-59049/(-1+59049*x) lgdogf] A013851 9.79198 [-59049*f(x)*x+f(x)-81 ogf] A013852 10.0044 [-59049*f(x)*x+f(x)-729 ogf] A013852 24.2851 [-59049/(-1+59049*x) lgdogf] A013852 25.6342 [1/59049*ln(1+81*x) revegf] A013853 10.1622 [-59049*f(x)*x+f(x)-6561 ogf] A013853 25.2102 [-59049/(-1+59049*x) lgdogf] A013853 28.1761 [1/59049*ln(1+9*x) revegf] A013854 20.5740 [1/100000*ln(1+10000*x) revegf] A013854 21.5537 [-100000/(-1+100000*x) lgdogf] A013854 9.81739 [-100000*f(x)*x+f(x)-10 ogf] A013855 10.0248 [-100000*f(x)*x+f(x)-100 ogf] A013855 22.4953 [1/100000*ln(1+1000*x) revegf] A013855 22.4953 [-100000/(-1+100000*x) lgdogf] A013856 10.2238 [-100000*f(x)*x+f(x)-1000 ogf] A013856 23.4370 [-100000/(-1+100000*x) lgdogf] A013856 24.6089 [1/100000*ln(1+100*x) revegf] A013857 18.5169 [-100000/(-1+100000*x) lgdogf] A013857 20.4661 [1/100000*ln(1+10*x) revegf] A013857 7.94347 [-100000*f(x)*x+f(x)-10000 ogf] A013858 10.0044 [-161051*f(x)*x+f(x)-11 ogf] A013858 20.9735 [1/161051*ln(1+14641*x) revegf] A013858 21.9722 [-161051/(-1+161051*x) lgdogf] A013859 10.2079 [-161051*f(x)*x+f(x)-121 ogf] A013859 22.9139 [1/161051*ln(1+1331*x) revegf] A013859 22.9139 [-161051/(-1+161051*x) lgdogf] A013860 10.4032 [-161051*f(x)*x+f(x)-1331 ogf] A013860 23.8555 [-161051/(-1+161051*x) lgdogf] A013860 25.0483 [1/161051*ln(1+121*x) revegf] A013861 18.8140 [-161051/(-1+161051*x) lgdogf] A013861 20.7944 [1/161051*ln(1+11*x) revegf] A013861 8.06823 [-161051*f(x)*x+f(x)-14641 ogf] A013862 10.3316 [-248832*f(x)*x+f(x)-12 ogf] A013862 21.6726 [1/248832*ln(1+20736*x) revegf] A013862 22.7046 [-248832/(-1+248832*x) lgdogf] A013863 10.5284 [-248832*f(x)*x+f(x)-144 ogf] A013863 23.6463 [1/248832*ln(1+1728*x) revegf] A013863 23.6463 [-248832/(-1+248832*x) lgdogf] A013864 10.8068 [-248832*f(x)*x+f(x)-1728 ogf] A013864 24.7972 [-248832/(-1+248832*x) lgdogf] A013864 26.0371 [1/248832*ln(1+144*x) revegf] A013865 19.5071 [-248832/(-1+248832*x) lgdogf] A013865 21.5605 [1/248832*ln(1+12*x) revegf] A013865 8.35935 [-248832*f(x)*x+f(x)-20736 ogf] A013866 10.6121 [-371293*f(x)*x+f(x)-13 ogf] A013866 22.2718 [1/371293*ln(1+28561*x) revegf] A013866 23.3324 [-371293/(-1+371293*x) lgdogf] A013867 10.8488 [-371293*f(x)*x+f(x)-169 ogf] A013867 24.3787 [1/371293*ln(1+2197*x) revegf] A013868 19.2101 [-371293/(-1+371293*x) lgdogf] A013868 20.1706 [1/371293*ln(1+169*x) revegf] A013868 8.40264 [-371293*f(x)*x+f(x)-2197 ogf] A013869 20.1013 [-371293/(-1+371293*x) lgdogf] A013869 22.2172 [1/371293*ln(1+13*x) revegf] A013869 8.60889 [-371293*f(x)*x+f(x)-28561 ogf] A013870 10.8926 [-537824*f(x)*x+f(x)-14 ogf] A013870 22.8711 [1/537824*ln(1+38416*x) revegf] A013870 23.9602 [-537824/(-1+537824*x) lgdogf] A013871 11.1692 [-537824*f(x)*x+f(x)-196 ogf] A013871 25.1111 [1/537824*ln(1+2744*x) revegf] A013871 25.1111 [-537824/(-1+537824*x) lgdogf] A013872 19.7052 [-537824/(-1+537824*x) lgdogf] A013872 20.6904 [1/537824*ln(1+196*x) revegf] A013872 8.61483 [-537824*f(x)*x+f(x)-2744 ogf] A013873 20.5964 [-537824/(-1+537824*x) lgdogf] A013873 22.7644 [1/537824*ln(1+14*x) revegf] A013873 8.81683 [-537824*f(x)*x+f(x)-38416 ogf] A013874 11.1731 [-759375*f(x)*x+f(x)-15 ogf] A013874 23.4703 [1/759375*ln(1+50625*x) revegf] A013874 24.5879 [-759375/(-1+759375*x) lgdogf] A013875 11.3981 [-759375*f(x)*x+f(x)-225 ogf] A013875 25.6342 [1/759375*ln(1+3375*x) revegf] A013875 25.6342 [-759375/(-1+759375*x) lgdogf] A013876 20.2003 [-759375/(-1+759375*x) lgdogf] A013876 21.2103 [1/759375*ln(1+225*x) revegf] A013876 8.82702 [-759375*f(x)*x+f(x)-3375 ogf] A013877 21.0915 [-759375/(-1+759375*x) lgdogf] A013877 23.3116 [1/759375*ln(1+15*x) revegf] A013877 9.02478 [-759375*f(x)*x+f(x)-50625 ogf] A013878 11.2608 [-1048576*f(x)*x+f(x)-16 ogf] A013878 23.1186 [1/1048576*ln(1+65536*x) revegf] A013878 23.1186 [-1048576/(-1+1048576*x) lgdogf] A013879 11.4345 [-1048576*f(x)*x+f(x)-256 ogf] A013879 23.9784 [-1048576/(-1+1048576*x) lgdogf] A013879 25.0683 [1/1048576*ln(1+4096*x) revegf] A013880 18.7150 [-1048576/(-1+1048576*x) lgdogf] A013880 20.4973 [1/1048576*ln(1+256*x) revegf] A013880 8.77524 [-1048576*f(x)*x+f(x)-4096 ogf] A013881 19.4382 [-1048576/(-1+1048576*x) lgdogf] A013881 22.3540 [1/1048576*ln(1+16*x) revegf] A013881 8.92937 [-1048576*f(x)*x+f(x)-65536 ogf] A013882 11.3981 [-1419857*f(x)*x+f(x)-17 ogf] A013882 23.4052 [1/1419857*ln(1+83521*x) revegf] A013882 23.4052 [-1419857/(-1+1419857*x) lgdogf] A013883 11.6587 [-1419857*f(x)*x+f(x)-289 ogf] A013883 24.4560 [-1419857/(-1+1419857*x) lgdogf] A013883 25.5677 [1/1419857*ln(1+4913*x) revegf] A013884 19.1670 [-1419857/(-1+1419857*x) lgdogf] A013884 20.9924 [1/1419857*ln(1+289*x) revegf] A013884 8.98319 [-1419857*f(x)*x+f(x)-4913 ogf] A013885 20.0711 [-1419857/(-1+1419857*x) lgdogf] A013885 23.0818 [1/1419857*ln(1+17*x) revegf] A013885 9.21478 [-1419857*f(x)*x+f(x)-83521 ogf] A013886 11.627 [-1889568*f(x)*x+f(x)-18 ogf] A013886 22.8877 [1/1889568*ln(1+104976*x) revegf] A013886 23.8828 [-1889568/(-1+1889568*x) lgdogf] A013887 18.7150 [-1889568/(-1+1889568*x) lgdogf] A013887 19.5656 [1/1889568*ln(1+5832*x) revegf] A013887 8.95433 [-1889568*f(x)*x+f(x)-324 ogf] A013888 19.6191 [-1889568/(-1+1889568*x) lgdogf] A013888 21.4875 [1/1889568*ln(1+324*x) revegf] A013888 9.19113 [-1889568*f(x)*x+f(x)-5832 ogf] A013889 20.5232 [-1889568/(-1+1889568*x) lgdogf] A013889 23.6016 [1/1889568*ln(1+18*x) revegf] A013889 9.23752 [-1889568*f(x)*x+f(x)-104976 ogf] A013890 11.8559 [-2476099*f(x)*x+f(x)-19 ogf] A013890 23.3455 [1/2476099*ln(1+130321*x) revegf] A013890 24.3605 [-2476099/(-1+2476099*x) lgdogf] A013891 18.9862 [-2476099/(-1+2476099*x) lgdogf] A013891 19.8492 [1/2476099*ln(1+6859*x) revegf] A013891 9.08164 [-2476099*f(x)*x+f(x)-361 ogf] A013892 19.9807 [-2476099/(-1+2476099*x) lgdogf] A013892 21.8836 [1/2476099*ln(1+361*x) revegf] A013892 9.35749 [-2476099*f(x)*x+f(x)-6859 ogf] A013893 20.8848 [-2476099/(-1+2476099*x) lgdogf] A013893 24.0175 [1/2476099*ln(1+19*x) revegf] A013893 9.39748 [-2476099*f(x)*x+f(x)-130321 ogf] A013894 11.9932 [-3200000*f(x)*x+f(x)-20 ogf] A013894 23.6201 [1/3200000*ln(1+160000*x) revegf] A013894 24.6471 [-3200000/(-1+3200000*x) lgdogf] A013895 19.4382 [-3200000/(-1+3200000*x) lgdogf] A013895 20.3218 [1/3200000*ln(1+8000*x) revegf] A013895 9.29383 [-3200000*f(x)*x+f(x)-400 ogf] A013896 20.1615 [-3200000/(-1+3200000*x) lgdogf] A013896 22.0817 [1/3200000*ln(1+400*x) revegf] A013896 9.44066 [-3200000*f(x)*x+f(x)-8000 ogf] A013897 21.2465 [-3200000/(-1+3200000*x) lgdogf] A013897 24.4334 [1/3200000*ln(1+20*x) revegf] A013897 9.55743 [-3200000*f(x)*x+f(x)-160000 ogf] A013898 12.1763 [-4084101*f(x)*x+f(x)-21 ogf] A013898 23.9863 [1/4084101*ln(1+194481*x) revegf] A013898 25.0292 [-4084101/(-1+4084101*x) lgdogf] A013899 19.6191 [-4084101/(-1+4084101*x) lgdogf] A013899 20.5108 [1/4084101*ln(1+9261*x) revegf] A013899 9.37871 [-4084101*f(x)*x+f(x)-441 ogf] A013900 20.6136 [-4084101/(-1+4084101*x) lgdogf] A013900 22.5768 [1/4084101*ln(1+441*x) revegf] A013900 9.64861 [-4084101*f(x)*x+f(x)-9261 ogf] A013901 21.5177 [-4084101/(-1+4084101*x) lgdogf] A013901 24.7453 [1/4084101*ln(1+21*x) revegf] A013901 9.6774 [-4084101*f(x)*x+f(x)-194481 ogf] A013902 12.4052 [-5153632*f(x)*x+f(x)-22 ogf] A013902 24.4441 [1/5153632*ln(1+234256*x) revegf] A013902 25.5069 [-5153632/(-1+5153632*x) lgdogf] A013903 19.8903 [1/5153632*ln(1+10648*x) revegf] A013903 19.8903 [-5153632/(-1+5153632*x) lgdogf] A013903 9.50602 [-5153632*f(x)*x+f(x)-484 ogf] A013904 20.9752 [-5153632/(-1+5153632*x) lgdogf] A013904 22.9729 [1/5153632*ln(1+484*x) revegf] A013904 9.62251 [-5153632*f(x)*x+f(x)-10648 ogf] A013905 21.8793 [-5153632/(-1+5153632*x) lgdogf] A013905 25.1612 [1/5153632*ln(1+22*x) revegf] A013905 9.83736 [-5153632*f(x)*x+f(x)-234256 ogf] A013906 12.5425 [-6436343*f(x)*x+f(x)-23 ogf] A013906 24.7187 [1/6436343*ln(1+279841*x) revegf] A013906 25.7935 [-6436343/(-1+6436343*x) lgdogf] A013907 20.1615 [1/6436343*ln(1+12167*x) revegf] A013907 20.1615 [-6436343/(-1+6436343*x) lgdogf] A013907 9.63333 [-6436343*f(x)*x+f(x)-529 ogf] A013908 23.1709 [1/6436343*ln(1+529*x) revegf] A013908 9.70406 [-6436343*f(x)*x+f(x)-12167 ogf] A013909 22.2410 [-6436343/(-1+6436343*x) lgdogf] A013909 25.5771 [1/6436343*ln(1+23*x) revegf] A013909 9.99731 [-6436343*f(x)*x+f(x)-279841 ogf] A013910 13.2971 [1/7962624*ln(1+331776*x) revegf] A013911 20.5232 [1/7962624*ln(1+13824*x) revegf] A013911 20.5232 [-7962624/(-1+7962624*x) lgdogf] A013911 9.80308 [-7962624*f(x)*x+f(x)-576 ogf] A013912 21.4273 [-7962624/(-1+7962624*x) lgdogf] A013912 23.4680 [1/7962624*ln(1+576*x) revegf] A013912 9.82638 [-7962624*f(x)*x+f(x)-13824 ogf] A013913 10.1173 [-7962624*f(x)*x+f(x)-331776 ogf] A013913 22.5122 [-7962624/(-1+7962624*x) lgdogf] A013913 25.8890 [1/7962624*ln(1+24*x) revegf] A013915 10.7797 [-(3-x+2*x^5-16*x^2+20*x^3-6*x^4)/(x-1)/(x^2+x-1)/(2*x^3-4*x^2+6*x-3) lgdogf] A013915 4.19921 [{a(n)*n+a(n+1)+(-2*n+1)*a(n+2)+(n-1)*a(n+3),a(0)=3,a(1)=3,a(2)=7,a(3)=10,a(4)=16} ogf] A013915 5.1549 [-(97*f(x)+3840)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+4*x^2-f(x)-6*x+3) ogf] A013915 9.70727 [(2*x^3-4*x^2+6*x-3)/(x^2+x-1)/(x-1)^2 ogf] A013945 10.4347 [-(2+22*x+2*x^4+20*x^3+x^6+6*x^5+7*x^2)/(x-1)/(x+1)/(x^5+3*x^4-x^3+2*x^2+2*x+3) lgdogf] A013945 9.32349 [-(x^5+3*x^4-x^3+2*x^2+2*x+3)/(x-1)^3/(x+1)^3 ogf] A013950 6.96261 [-(x^2+x+1)*(x^6-x^5+x^4-x^2-1)/(x-1)/(x+1)/(x^2+1)/(2*x^3-x^2+x-1) ogf] A013977 6.60937 [(x^7+21*x^6+35*x^5+47*x^4+58*x^3+21*x^2+8*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A013977 7.19569 [-(10+60*x+307*x^6+580*x^5+149*x^7+511*x^4+x^9+402*x^3+44*x^8+240*x^2)/(x-1)/(x^2+x+1)/(x^7+21*x^6+35*x^5+47*x^4+58*x^3+21*x^2+8*x+1) lgdogf] A013978 3.93256 [(x^8+7*x^7+21*x^6+19*x^5+21*x^4+18*x^3+8*x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A013979 20.2403 [-1/(x+1)/(x^3+x-1) ogf] A013979 24.4790 [-x*(2+4*x^2+3*x)/(x+1)/(x^3+x-1) lgdogf] A013979 6.74676 [{a(n+4)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A013979 8.05682 [-(2*f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-f(x)+1) ogf] A013982 12.3066 [-1/(x^5+x^4+x^3+x^2-1) ogf] A013982 13.7719 [-x*(2+5*x^3+4*x^2+3*x)/(-1+x^2+x^3+x^4+x^5) lgdogf] A013983 10.9595 [-1/(x+1)/(x^5+x^3+x-1) ogf] A013983 12.7887 [-x*(2+6*x^4+5*x^3+4*x^2+3*x)/(x+1)/(x^5+x^3+x-1) lgdogf] A013984 9.72171 [-1/(x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A013984 9.85838 [-x*(2+7*x^5+6*x^4+5*x^3+4*x^2+3*x)/(-1+x^2+x^3+x^4+x^5+x^6+x^7) lgdogf] A013985 8.70578 [-1/(x+1)/(x^7+x^5+x^3+x-1) ogf] A013985 9.76077 [-x*(2+7*x^5+6*x^4+8*x^6+5*x^3+4*x^2+3*x)/(x+1)/(x^7+x^5+x^3+x-1) lgdogf] A013986 7.56988 [-x*(2+7*x^5+6*x^4+8*x^6+5*x^3+4*x^2+9*x^7+3*x)/(-1+x^8+x^2+x^9+x^3+x^4+x^5+x^6+x^7) lgdogf] A013986 7.89053 [-1/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A013987 8.83004 [-1/(x+1)/(x^9+x^7+x^5+x^3+x-1) ogf] A013987 9.67362 [-x*(2+7*x^5+6*x^4+8*x^6+5*x^3+4*x^2+10*x^8+9*x^7+3*x)/(x+1)/(x^9+x^7+x^5+x^3+x-1) lgdogf] A013989 19.8581 [(2+4*x+x^3+2*x^2)/(x^2+1+x) lgdegf] A013989 3.45101 [{(-n^2-7*n-12)*a(n+1)+(-4-n)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A013991 6.43542 [(7*x^6-15*x^5+12*x^4-2*x^3-4*x^2+5*x-1)/(x^2-x+1)/(7*x^4-9*x^3+5*x-1) ogf] A013999 3.04566 [{(n+4)*a(n+1)+(-2*n-9)*a(n+2)+(n+7)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=8} ogf] A014010 6.69260 [-(6+2*x+6*x^8-3*x^2-11*x^4+2*x^5+7*x^6)/(x-1)/(2*x^4+x^2-2)/(3*x^4+2*x^3+3*x^2+2*x-1) lgdogf] A014010 9.19580 [-(2*x^4+x^2-2)/(x-1)/(3*x^4+2*x^3+3*x^2+2*x-1) ogf] A014011 6.40756 [-(x^24-x^20-x^16+x^14-x^8-x^6+x^4+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A014016 13.1076 [-(2*x+3*x^2+4*x^3+5*x^4+6*x^5+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A014016 18.9304 [[x^6-1] ogf_with_Euler_transform] A014016 7.30155 [1/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A014017 11.2541 [f(x)*x^4+f(x)-1 ogf] A014017 15.9109 [1/(x^4+1) ogf] A014017 18.4045 [x^7-x^3 ogf_with_Euler_transform] A014018 12.1144 [1/(x^6+x^3+1) ogf] A014018 17.8787 [x^8-x^2 ogf_with_Euler_transform] A014019 10.4929 [1/(x^4-x^3+x^2-x+1) ogf] A014019 15.5363 [x^9-x^4-x+1 ogf_with_Euler_transform] A014019 4.39445 [(f(x)-1)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-f(x)*x+f(x)-1) ogf] A014020 19.9183 [x^10-1 ogf_with_Euler_transform] A014020 4.48413 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A014021 13.3021 [1/(x^4-x^2+1) ogf] A014021 5.79033 [-(f(x)-2)*(f(x)*x^4-f(x)*x^2+f(x)-1) ogf] A014021 9.81574 [x^11-x*(x^4+x^2-1) ogf_with_Euler_transform] A014022 19.5200 [x^12-1 ogf_with_Euler_transform] A014023 13.9194 [x^13-x^6-x+1 ogf_with_Euler_transform] A014023 7.30155 [1/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A014024 13.6074 [x^14-x^4-x^2+1 ogf_with_Euler_transform] A014024 8.50074 [1/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A014025 18.2220 [1/(x^8+1) ogf] A014025 20.2797 [x^15-x^7 ogf_with_Euler_transform] A014025 66.6292 [-8*x^7/(1+x^8) lgdogf] A014026 18.7232 [x^16-1 ogf_with_Euler_transform] A014027 12.1144 [1/(x^6-x^3+1) ogf] A014028 18.7232 [x^18-1 ogf_with_Euler_transform] A014029 11.6470 [x^19-x^9-x^3+x ogf_with_Euler_transform] A014029 8.37432 [1/(x^8-x^6+x^4-x^2+1) ogf] A014030 12.4542 [x^20-x^6-x^2+1 ogf_with_Euler_transform] A014030 6.00761 [1/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A014031 12.5201 [x^21-x^10-x+1 ogf_with_Euler_transform] A014031 4.48413 [1/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A014032 18.3249 [x^22-1 ogf_with_Euler_transform] A014033 11.6394 [1/(x^8-x^4+1) ogf] A014033 9.98695 [x^23-x^11-x^7+x^3 ogf_with_Euler_transform] A014034 15.5057 [x^24-x^4 ogf_with_Euler_transform] A014034 7.21945 [1/(x^20+x^15+x^10+x^5+1) ogf] A014095 4.03532 [(x^8-3*x^7+13*x^6-17*x^5+44*x^4-17*x^3+13*x^2-3*x+1)/(x+1)^4/(x-1)^8 ogf] A014095 5.86829 [-(1+26*x-88*x^6+362*x^5+74*x^7-62*x^4+238*x^3+4*x^9-11*x^8-32*x^2)/(x-1)/(x+1)/(x^8-3*x^7+13*x^6-17*x^5+44*x^4-17*x^3+13*x^2-3*x+1) lgdogf] A014097 12.7851 [-(4*x^3+1)/(x^4+x-1) ogf] A014097 14.2282 [-(1+4*x^6-4*x^3+12*x^2)/(4*x^3+1)/(x^4+x-1) lgdogf] A014097 5.91008 [{-a(n+4)+a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A014097 6.59441 [(283*f(x)-10193)*(f(x)*x^4+4*x^3+f(x)*x-f(x)+1) ogf] A014098 12.6356 [-(3*x^3+1)/(x^4+x-1) ogf] A014098 14.3926 [-(1+3*x^6-2*x^3+9*x^2)/(3*x^3+1)/(x^4+x-1) lgdogf] A014098 5.84096 [{-a(n+4)+a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=4} ogf] A014098 6.58662 [(151*f(x)-2743)*(f(x)*x^4+3*x^3+f(x)*x-f(x)+1) ogf] A014101 13.0240 [-(2*x^3+1)/(x^4+x-1) ogf] A014101 17.3172 [-(1+6*x^2+2*x^6)/(2*x^3+1)/(x^4+x-1) lgdogf] A014101 7.09085 [(9*f(x)-80)*(f(x)*x^4+2*x^3+f(x)*x-f(x)+1) ogf] A014103 21.5146 [24/(-x^2+1) ogf_with_Euler_transform] A014103 99.9999 Evaluated at exp(-Pi) 1/8*exp(Pi) A014105 13.8470 [-x*(x+3)/(x-1)^3 ogf] A014105 38.8865 [-2*(5+x)/(x+3)/(x-1) lgdogf] A014105 6.98478 [(1968*f(x)-3367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+3*x) ogf] A014105 7.04715 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=10} ogf] A014106 13.9146 [x*(x-5)/(x-1)^3 ogf] A014106 39.0790 [-2*(x-7)/(x-1)/(x-5) lgdogf] A014106 7.08152 [(464*f(x)-1647)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+5*x) ogf] A014106 7.08153 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=14} ogf] A014107 13.9906 [-x*(5*x-1)/(x-1)^3 ogf] A014107 32.9052 [-2*(1+5*x)/(5*x-1)/(x-1) lgdogf] A014107 7.18439 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=2} ogf] A014107 7.2497 [(80*f(x)-117)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-x) ogf] A014112 14.6520 [-2*(-1-4*x+x^4-3*x^3-x^2)/(x-1)/(x+1)/(x^3-3*x^2+x-1) lgdogf] A014112 9.31512 [-(x^3-3*x^2+x-1)/(x+1)/(x-1)^4 ogf] A014113 15.9948 [-2*x/(x+1)/(2*x-1) ogf] A014113 18.1752 [1/4/x*(-x-2+(9*x^2+4*x+4)^(1/2)) revogf] A014113 26.4366 [-(4*x+1)/(x+1)/(2*x-1) lgdogf] A014113 7.30628 [(f(x)+2)*(2*f(x)*x^2+f(x)*x-f(x)+2*x) ogf] A014113 7.30628 [{-a(n+2)+a(n+1)+2*a(n),a(0)=0,a(1)=2} ogf] A014125 12.2687 [1/(x^2+x+1)/(x-1)^4 ogf] A014125 26.0661 [-3*(1+x+2*x^2)/(x-1)/(x^2+x+1) lgdogf] A014125 31.7252 [[x^2+3] ogf_with_Euler_transform] A014125 4.83313 [{(-n-4)*a(n+4)+3*a(n+3)+3*a(n+2)+(7+n)*a(n+1),a(0)=1,a(1)=3,a(2)=6,a(3)=11} ogf] A014126 11.1956 [(x^2+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A014126 12.5268 [-(2+8*x+5*x^5+13*x^3+7*x^4+13*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A014126 24.6349 [-x^3+x^2+2*x+2 ogf_with_Euler_transform] A014130 6.07260 [{(2*n^2+15*n+25)*a(n+1)-a(n+2),a(0)=1,a(1)=12} ogf] A014131 12.9586 [6*x/(x-1)/(2*x-1)/(x+1) ogf] A014131 16.3754 [-2*(-1-x+3*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A014131 5.20656 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=6,a(2)=12} ogf] A014131 7.57319 [2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-6*x ogf] A014137 5.36110 [{(-4*n-10)*a(n+1)+(5*n+14)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A014137 8.57774 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x+f(x)*x-f(x)+1 ogf] A014138 3.85839 [{(-4*n-10)*a(n+1)+(5*n+14)*a(n+2)+(-n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A014138 5.1559 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A014140 11.5247 [3+25*x^2-16*x+(-1-29*x^2+10*x+20*x^3)*f(x)+(6*x^2+4*x^4-9*x^3-x)*f(x)^2 lgdogf] A014140 4.15862 [{(4*n+14)*a(n+1)+(-9*n-33)*a(n+2)+(6*n+24)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=16} ogf] A014143 7.90099 [-8-36*x^2+32*x+(2+38*x^2-16*x-24*x^3)*f(x)+(-6*x^2+x+9*x^3-4*x^4)*f(x)^2 lgdogf] A014145 4.12839 [{(-n-4)*a(n+1)+(2*n+9)*a(n+2)+(-n-6)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=13} ogf] A014151 11.5985 [-4-49*x^2+26*x+(1+39*x^2-12*x-28*x^3)*f(x)+(-6*x^2+x+9*x^3-4*x^4)*f(x)^2 lgdogf] A014151 3.55046 [{(4*n^2+38*n+90)*a(n+1)+(-9*n^2-79*n-168)*a(n+2)+(6*n^2+50*n+104)*a(n+3)+(-n^2-9*n-20)*a(n+4),a(0)=1,a(1)=4,a(2)=11,a(3)=27} ogf] A014153 21.8342 [-(-3+2*x)/(-x+1) ogf_with_Euler_transform] A014160 16.5794 [-(-4+3*x)/(-x+1) ogf_with_Euler_transform] A014161 16.2706 [-(-5+4*x)/(-x+1) ogf_with_Euler_transform] A014162 18.4992 [-(-4+2*x+5*x^2)/(x-1)/(x^2+x-1) lgdogf] A014162 9.57013 [x/(x^2+x-1)/(x-1)^3 ogf] A014166 19.7177 [-(-5+3*x+6*x^2)/(x-1)/(x^2+x-1) lgdogf] A014166 3.45307 [{(-3-n)*a(n+4)+(9+2*n)*a(n+3)-3*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=16} ogf] A014166 9.56234 [-x/(x^2+x-1)/(x-1)^4 ogf] A014182 21.3260 [a(n)+(n+1)*a(n+1),a(0)=0,a(1)=-1 lgdegf] A014205 24.5321 [-(-7-6*x+3*x^2)/(x-1)/(x^2-2*x-1) lgdogf] A014205 4.18724 [{(-3-n)*a(n+4)+(5-n)*a(n+3)+(9+3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=7,a(3)=24} ogf] A014205 9.88794 [x*(x^2-2*x-1)/(x-1)^5 ogf] A014206 13.7292 [-2*(x^2-x+1)/(x-1)^3 ogf] A014206 25.2503 [-x^5+x^2+x+2 ogf_with_Euler_transform] A014206 34.2397 [-(2+x^2)/(x-1)/(x^2-x+1) lgdogf] A014206 7.47749 [(3*f(x)+10)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-2*x+2) ogf] A014206 7.47750 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A014209 10.4165 [(3*x^2-6*x+1)/(x-1)^3 ogf] A014209 17.8340 [-3*(-1-2*x+x^2)/(x-1)/(3*x^2-6*x+1) lgdogf] A014209 5.67325 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=3,a(2)=9} ogf] A014209 7.04452 [-(496*f(x)-5093)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+6*x-1) ogf] A014217 10.5094 [-(-1-2*x-x^2+6*x^3+x^4-2*x^5+x^6)/(x-1)/(x+1)/(x^2+x-1)/(x^3-x^2+1) lgdogf] A014217 10.8903 [(x^3-x^2+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A014217 7.1621 [-f(x)*x^4-f(x)*x^3+2*f(x)*x^2+x^3+f(x)*x-x^2-f(x)+1 ogf] A014228 4.26896 [{(64*n^3+480*n^2+1136*n+840)*a(n+1)+(-n^3-12*n^2-47*n-60)*a(n+2),a(0)=2,a(1)=10} ogf] A014231 4.83695 [{(64*n^3+480*n^2+1136*n+840)*a(n+1)+(-n^3-12*n^2-47*n-60)*a(n+2),a(0)=1,a(1)=5} ogf] A014236 12.3468 [-(1+4*x+8*x^3-14*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A014236 5.09645 [-(f(x)+2)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x) ogf] A014236 5.09645 [{-a(n+3)+2*a(n+2)+2*a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A014236 9.92467 [-2*x*(x-1)/(2*x-1)/(2*x^2-1) ogf] A014255 10.9301 [-(3*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A014255 17.2044 [-(3+13*x+9*x^3+11*x^2)/(x-1)/(x+1)/(3*x^2+2*x+1) lgdogf] A014283 14.2562 [-(7-16*x+20*x^3-5*x^2)/(x-1)/(5*x-3)/(x^2+x-1) lgdogf] A014283 8.09782 [x^2*(5*x-3)/(x^2+x-1)/(x-1)^3 ogf] A014286 10.6173 [-x*(x^2+1)/(x-1)/(x^2+x-1)^2 ogf] A014286 15.6000 [-(-3-3*x+3*x^4-x^3+6*x^2)/(x-1)/(1+x^2)/(x^2+x-1) lgdogf] A014288 3.69827 [{(n^2+2*n)*a(n)+(-2*n^2-8*n-6)*a(n+1)+(n^2+7*n+8)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A014291 10.2805 [(2*x-1)*(x-1)/(x^4+x^2-2*x+1) ogf] A014291 11.4355 [-(x^2-x-1)*(4*x^3-5*x^2+3*x-1)/(x-1)/(2*x-1)/(x^4+x^2-2*x+1) lgdogf] A014291 5.45313 [-(f(x)+3)*(f(x)*x^4+f(x)*x^2-2*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A014292 11.7663 [a(n+4)-2*a(n+3)+a(n+2)+a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=-2 lgdogf] A014292 13.8538 [x^2/(x^4+x^2-2*x+1) ogf] A014292 7.69655 [f(x)*x^4+f(x)*x^2-2*f(x)*x-x^2+f(x) ogf] A014297 16.0549 [x/(1+2*x)^(1/2)/(1+(1+2*x)^(1/2)) revegf] A014297 16.8254 [-2/(2*x-1)^3 egf] A014297 48.1646 [-6/(-1+2*x) lgdegf] A014297 7.06665 [(f(x)-2)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-f(x)+2) egf] A014297 7.94007 [{(-2*n-8)*a(n+1)+a(n+2),a(0)=2,a(1)=12} ogf] A014298 13.8497 [1/54+2/3*x-1/54*(-(12*x-1)^3)^(1/2) revegf] A014298 16.6538 [-1+f(x)-2*x*f(x)^3 egf] A014298 4.30933 [{(27*n^2+81*n+60)*a(n+1)+(-2*n-5)*a(n+2),a(0)=1,a(1)=2} ogf] A014298 8.54436 [hypergeom([1/3,2/3],[3/2],27/2*x) egf] A014300 11.8650 [1/8*((9*x^2+2*x+1)^(1/2)+3*(9*x^2+2*x+1)^(1/2)*x-4*x-7*x^2-1)/x^2 revogf] A014300 8.25694 [4*f(x)^2*x^3+7*f(x)^2*x^2-2*f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A014301 6.67917 [4*f(x)^2*x^3+7*f(x)^2*x^2-2*f(x)^2*x+4*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A014304 27.1114 [-ln(2-2*x+x^2)+ln(2) revegf] A014309 10.2143 [-(-3-12*x+x^4-6*x^3+15*x^2)/(x-1)/(x^4-5*x^3+10*x^2-8*x+1) lgdogf] A014309 6.28133 [(x^4-5*x^3+10*x^2-8*x+1)/(x-1)^5 ogf] A014318 3.65894 [{(8*n+20)*a(n+1)+(-6*n-18)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=3,a(2)=8} ogf] A014318 5.85431 [-4*f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A014330 3.92074 [{(-32*n^2-128*n-128)*a(n+1)+(12*n^2+76*n+116)*a(n+2)+(-n^2-9*n-20)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A014334 12.4463 [2*x^2/(x-1)/(4*x^2+2*x-1) ogf] A014334 15.3791 [-(-3-4*x+12*x^2)/(x-1)/(4*x^2+2*x-1) lgdogf] A014334 5.09168 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A014334 8.92702 [-4*f(x)*x^3+2*f(x)*x^2+3*f(x)*x+2*x^2-f(x) ogf] A014335 15.2003 [-(-3-4*x+12*x^2)/(x-1)/(4*x^2+2*x-1) lgdogf] A014335 18.7255 [x^2/(x-1)/(4*x^2+2*x-1) ogf] A014335 6.97949 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A014335 9.47831 [-4*f(x)*x^3+2*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A014336 10.8000 [-6*x^3/(x^2-3*x+1)/(9*x^2+3*x-1) ogf] A014336 5.83202 [9*f(x)*x^4-24*f(x)*x^3-f(x)*x^2+6*x^3+6*f(x)*x-f(x) ogf] A014337 10.7234 [-x^3/(x^2-3*x+1)/(9*x^2+3*x-1) ogf] A014337 11.1049 [-2*(3-x+18*x^3-36*x^2)/(1+x^2-3*x)/(9*x^2+3*x-1) lgdogf] A014337 5.3617 [9*f(x)*x^4-24*f(x)*x^3-f(x)*x^2+x^3+6*f(x)*x-f(x) ogf] A014340 4.27215 [-32*f(x)*x^5-120*f(x)*x^4+70*f(x)*x^3-24*x^4+15*f(x)*x^2-10*f(x)*x+f(x) ogf] A014340 7.79038 [-24*x^4/(2*x-1)/(16*x^2+4*x-1)/(x^2+4*x-1) ogf] A014340 7.90666 [-10*(1-3*x+16*x^4+48*x^3-21*x^2)/(2*x-1)/(16*x^2+4*x-1)/(x^2+4*x-1) lgdogf] A014341 6.2778 [-32*f(x)*x^5-120*f(x)*x^4+70*f(x)*x^3-x^4+15*f(x)*x^2-10*f(x)*x+f(x) ogf] A014341 7.65840 [-10*(1-3*x+16*x^4+48*x^3-21*x^2)/(2*x-1)/(16*x^2+4*x-1)/(x^2+4*x-1) lgdogf] A014341 7.65840 [-x^4/(2*x-1)/(16*x^2+4*x-1)/(x^2+4*x-1) ogf] A014372 3.21098 [(f(x)-1)^2*(x^5+2*f(x)*x-f(x)-2*x+1) ogf] A014374 8.64335 [-(f(x)-1)^3 ogf] A014375 10.189 [(f(x)-1)^2 ogf] A014376 6.35611 [(f(x)-1)^2 ogf] A014377 6.87213 [(f(x)-1)^2*(-x^4+f(x)-1) ogf] A014378 20.3301 [-(f(x)-1)^3 ogf] A014381 3.3821 [-(f(x)-1)*(x^5+88112*f(x)*x^2+9*f(x)*x-88112*x^2-f(x)-9*x+1) ogf] A014384 6.72694 [(f(x)-1)*(-x^6+f(x)-1) ogf] A014390 11.2850 [-(43*x^2+6*x+1)/(x-1)/(x^2+1) ogf] A014390 11.3819 [-(7+84*x+43*x^4+12*x^3-46*x^2)/(-1+x)/(x^2+1)/(43*x^2+6*x+1) lgdogf] A014390 5.92943 [-(5*f(x)-299)*(f(x)*x^3-f(x)*x^2+f(x)*x+43*x^2-f(x)+6*x+1) ogf] A014390 6.19179 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=49} ogf] A014391 10.5085 [-(5*x^3-3*x^2+7*x+1)/(x-1)/(x^2+1) ogf] A014391 11.5985 [-2*(4-4*x+x^4+2*x^3+7*x^2)/(-1+x)/(1+x^2)/(5*x^3-3*x^2+7*x+1) lgdogf] A014391 5.49306 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=4,a(3)=2} ogf] A014391 6.04237 [(f(x)+15)*(f(x)*x^3-f(x)*x^2+5*x^3+f(x)*x-3*x^2-f(x)+7*x+1) ogf] A014392 4.65648 [-(75*x^11-3*x^10+12*x^9-36*x^8+8*x^7-24*x^6-28*x^5+84*x^4-52*x^3+56*x^2+7*x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A014393 6.14151 [-(89*x^9+21*x^8+69*x^7+41*x^6+49*x^5+61*x^4+29*x^3+81*x^2+9*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A014401 4.20713 [{(4*n^2+28*n+40)*a(n+1)-a(n+2),a(0)=48,a(1)=768} ogf] A014409 10.2319 [-(8+26*x+39*x^2+16*x^3+22*x^4+6*x^5+3*x^6)/(x-1)/(x+1)/(x^5+x^4+3*x^3+x^2+4*x+2) lgdogf] A014409 6.85755 [-x*(x^5+x^4+3*x^3+x^2+4*x+2)/(x+1)^3/(x-1)^5 ogf] A014431 12.5071 [f(x)^2*x-f(x)*x-f(x)+2*x+1 ogf] A014431 18.3102 [1/4*x-1/4+1/4*(-(1+7*x)*(x-1))^(1/2) revogf] A014432 11.0672 [f(x)^2*x-f(x)*x-f(x)+3*x+1 ogf] A014432 18.4919 [1/6*x-1/6+1/6*(-(11*x+1)*(x-1))^(1/2) revogf] A014432 3.38463 [{(55*n^2+55*n)*a(n)+(21*n^2+69*n+48)*a(n+1)+(-3*n^2-9*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=3} ogf] A014433 12.8171 [f(x)^2*x-f(x)*x-f(x)+4*x+1 ogf] A014433 21.4675 [1/8*x-1/8+1/8*(-(1+15*x)*(x-1))^(1/2) revogf] A014433 3.79099 [{(-105*n^2-105*n)*a(n)+(-29*n^2-95*n-66)*a(n+1)+(5*n^2+17*n+6)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=4,a(2)=4} ogf] A014434 12.5152 [f(x)^2*x-f(x)*x-f(x)+5*x+1 ogf] A014434 14.6584 [1/10*x-1/10+1/10*(-(19*x+1)*(x-1))^(1/2) revogf] A014435 10.0037 [f(x)^2*x-f(x)*x-f(x)+6*x+1 ogf] A014435 15.4423 [1/12*x-1/12+1/12*(-(23*x+1)*(x-1))^(1/2) revogf] A014437 10.6680 [-(x+1)*(x^5-3*x^4+2*x^3+2*x^2+5*x+1)/(x^3-x^2+x+1)/(x^4+4*x^2-1) lgdogf] A014437 10.7171 [-(x^3-x^2+x+1)/(x^4+4*x^2-1) ogf] A014437 6.82954 [(16*f(x)-9)*(f(x)*x^4+4*f(x)*x^2+x^3-x^2-f(x)+x+1) ogf] A014445 13.0876 [-f(x)*x^2-4*f(x)*x+f(x)-2*x ogf] A014445 17.5222 [-2*x/(x^2+4*x-1) ogf] A014445 21.2929 [(-1-2*x+(1+4*x+5*x^2)^(1/2))/x revogf] A014445 31.9394 [-2*(x+2)/(x^2-1+4*x) lgdogf] A014445 8.00398 [{-a(n+2)+4*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A014447 10.5661 [(x^3-3*x^2-3*x-1)/(x^4+4*x^2-1) ogf] A014447 6.41867 [-(80*f(x)+99)*(f(x)*x^4+4*f(x)*x^2-x^3+3*x^2-f(x)+3*x+1) ogf] A014447 9.75452 [-(x+1)*(x^5-7*x^4-6*x^3+2*x^2-11*x-3)/(x^3-3*x^2-3*x-1)/(x^4+4*x^2-1) lgdogf] A014448 13.7265 [2*(2*x-1)/(x^2+4*x-1) ogf] A014448 17.7985 [-2*(-1-x+x^2)/(-1+2*x)/(x^2+4*x-1) lgdogf] A014448 20.1717 [(-1-2*x+(1+5*x^2)^(1/2))/(x-4) revogf] A014448 7.01923 [(85*f(x)-138)*(f(x)*x^2+4*f(x)*x-f(x)-4*x+2) ogf] A014448 7.53283 [{-a(n+2)+4*a(n+1)+a(n),a(0)=2,a(1)=4} ogf] A014452 99.9999 Evaluated at exp(-Pi) 4/3*Pi^(7/4)*2^(3/4)/GAMMA(2/3)^2/GAMMA(11/12)^(1/2)/GAMMA(7/12)^(5/2)/(3^(1/2)-1)*4^(1/2)/(2^(1/2)*(1+3^(1/2)))^(3/2) A014455 13.4654 [-(-3*x^4+x^3-4)/(x^5+x^4+x+1) ogf_with_Euler_transform] A014455 99.9999 Evaluated at exp(-Pi) 1/16/Pi^(3/4)*2^(3/4)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2 A014477 10.8488 [-(2*x+1)/(2*x-1)^3 ogf] A014477 23.8734 [-8*(x+1)/(2*x-1)/(2*x+1) lgdogf] A014477 5.13891 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=8,a(2)=36} ogf] A014477 7.23345 [(236*f(x)-321)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-f(x)+2*x+1) ogf] A014479 21.7213 [-8*(1+x)/(2*x-1)/(1+2*x) lgdegf] A014479 22.6657 [4*x/(1+(1+8*x)^(1/2))^2 revegf] A014479 4.67231 [{(-2*n^2-12*n-18)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=8} ogf] A014479 4.93189 [(236*f(x)-321)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-f(x)+2*x+1) egf] A014479 9.86376 [-(2*x+1)/(2*x-1)^3 egf] A014480 11.064 [-4*f(x)*x^2+4*f(x)*x-f(x)+2*x+1 ogf] A014480 15.4896 [(2*x+1)/(2*x-1)^2 ogf] A014480 18.4746 [-1/4*(-1-4*x+(1+16*x)^(1/2))/(-1+2*x) revogf] A014480 26.2908 [-2*(3+2*x)/(2*x-1)/(2*x+1) lgdogf] A014480 8.50038 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=6} ogf] A014481 12.9103 [(2*x+1)/(2*x-1)^2 egf] A014481 21.9001 [-2*(3+2*x)/(2*x-1)/(2*x+1) lgdegf] A014481 3.43766 [{(-2*n^2-8*n-8)*a(n+1)+(-2*n^2-13*n-24)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=6,a(2)=40} ogf] A014481 9.22166 [-4*f(x)*x^2+4*f(x)*x-f(x)+2*x+1 egf] A014483 11.4324 [(2*x+1)/(2*x-1)^4 ogf] A014483 20.2601 [-2*(5+6*x)/(2*x-1)/(1+2*x) lgdogf] A014483 5.30200 [{(-n-3)*a(n+3)+10*a(n+2)+(16+4*n)*a(n+1),a(0)=1,a(1)=10,a(2)=56} ogf] A014483 5.62828 [(5248*f(x)+7423)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A014484 18.3417 [-2*(5+6*x)/(2*x-1)/(1+2*x) lgdegf] A014484 2.82067 [{(-2*n^2-12*n-16)*a(n+1)+(2*n^2+19*n+40)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=10,a(2)=112} ogf] A014484 3.75366 [(5248*f(x)+7423)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) egf] A014484 7.62462 [(2*x+1)/(2*x-1)^4 egf] A014488 6.71312 [-(f(x)-1)^3 ogf] A014493 12.1831 [-(3+27*x+x^5+5*x^4+36*x^3+24*x^2)/(x-1)/(x+1)/(x^4+2*x^3+10*x^2+2*x+1) lgdogf] A014493 9.23902 [-(x^4+2*x^3+10*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A014494 10.0364 [-2*x*(3*x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A014494 16.6945 [-(5+23*x+9*x^3+11*x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A014495 5.17619 [2*f(x)^2*x^4-5*f(x)^2*x^3+4*f(x)^2*x^2-2*f(x)*x^3-f(x)^2*x+f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A014497 7.9943 [(f(x)-1)^2*(-14152320*x^5+f(x)-1) ogf] A014523 10.2244 [(x^2-3*x+1)/(x^4-7*x^3+9*x^2-7*x+1) ogf] A014523 5.22582 [(22618*f(x)+281)*(f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-7*f(x)*x-x^2+f(x)+3*x-1) ogf] A014523 7.75727 [-(-4+16*x+2*x^5-41*x^2+46*x^3-16*x^4)/(x^2-3*x+1)/(x^4-7*x^3+9*x^2-7*x+1) lgdogf] A014524 4.09752 [(100775*f(x)+8126)*(f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-7*f(x)*x-x^2+f(x)-x) ogf] A014524 8.38414 [x*(x+1)/(x^4-7*x^3+9*x^2-7*x+1) ogf] A014524 9.56849 [-(x-4)*(3*x^3+2*x^2-4*x+2)/(x+1)/(x^4-7*x^3+9*x^2-7*x+1) lgdogf] A014528 6.13689 [-(x^21+x^19-2*x^18+2*x^8-x^7-3*x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A014531 3.52811 [{(-3*n^2-27*n-60)*a(n+1)+(-2*n^2-19*n-45)*a(n+2)+(n^2+10*n+21)*a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A014532 3.70812 [{(-3*n^2-33*n-90)*a(n+1)+(-2*n^2-23*n-66)*a(n+2)+(n^2+12*n+27)*a(n+3),a(0)=1,a(1)=4,a(2)=15} ogf] A014533 3.48417 [{(-3*n^2-39*n-126)*a(n+1)+(-2*n^2-27*n-91)*a(n+2)+(n^2+14*n+33)*a(n+3),a(0)=1,a(1)=5,a(2)=21} ogf] A014544 6.44321 [-(x^16-x^15+x^14-x^11+x^10+3*x^8-3*x^7+3*x^6-3*x^5+3*x^4+2*x^3-6*x-1)/(x-1)^2 ogf] A014551 17.5534 [(x-2)/(x+1)/(2*x-1) ogf] A014551 22.1657 [-(-1-8*x+2*x^2)/(x-2)/(2*x-1)/(1+x) lgdogf] A014551 8.97619 [(54*f(x)-107)*(2*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A014551 9.63299 [{-a(n+2)+a(n+1)+2*a(n),a(0)=2,a(1)=1} ogf] A014553 7.66082 [(-4-2*x-14*x^13+13*x^14+6*x^7-9*x^8+8*x^9-6*x^5-2*x^6-2*x^3+3*x^4-2*x^2)/(x-1)/(x^14+x^9+x^7+x^6+x^4+x^3+x^2+3*x+1) lgdogf] A014553 9.55427 [-(x^14+x^9+x^7+x^6+x^4+x^3+x^2+3*x+1)/(x-1) ogf] A014557 10.8289 [2*x^6/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A014557 18.8755 [-2*(1+2*x+x^2+4*x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A014591 10.6903 [-(x^5-x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A014591 11.1755 [-(1+4*x^6+2*x^7+2*x+2*x^5+2*x^3+x^8+4*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^5-x^2+1) lgdogf] A014601 14.4646 [x*(x+3)/(x+1)/(x-1)^2 ogf] A014601 25.3767 [-2*(2+5*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A014601 7.42777 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=4} ogf] A014601 7.49531 [(64*f(x)+295)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-3*x) ogf] A014606 5.69741 [{(-9*n^3-45*n^2-74*n-40)*a(n+1)+2*a(n+2),a(0)=1,a(1)=1} ogf] A014608 4.70118 [{(-32*n^3-144*n^2-214*n-105)*a(n+1)+3*a(n+2),a(0)=1,a(1)=1} egf] A014610 5.84295 [(3*f(x)-7)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)+2*x+3) ogf] A014610 7.60922 [-(x^3+2*x^2+2*x+3)/(x^4+x^3+x^2+x-1) ogf] A014610 7.63255 [-(5+10*x+x^6+4*x^5+7*x^4+14*x^3+12*x^2)/(x^3+2*x^2+2*x+3)/(x^4+x^3+x^2+x-1) lgdogf] A014616 14.6184 [(x^2-2)/(x+1)/(x-1)^3 ogf] A014616 21.5038 [-2*(x+2)*(x^2-x-1)/(x-1)/(x+1)/(x^2-2) lgdogf] A014616 7.57498 [(23*f(x)-190)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-x^2-f(x)+2) ogf] A014626 21.9863 [-(2-6*x+9*x^2)/(x-1)/(3*x^2-3*x+1) lgdogf] A014626 3.85151 [{(n+3)*a(n+4)+(-10-4*n)*a(n+3)+(6*n+12)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A014626 9.14153 [-x*(3*x^2-3*x+1)/(x-1)^5 ogf] A014628 12.9264 [-(8-8*x+x^4-6*x^3+15*x^2)/(x-1)/(x^4-5*x^3+10*x^2-7*x+3) lgdogf] A014628 7.69199 [-(x^4-5*x^3+10*x^2-7*x+3)/(x-1)^5 ogf] A014629 15.4017 [-(-15+12*x+2*x^3-9*x^2)/(x-1)/(x^3-4*x^2+5*x-4) lgdogf] A014629 8.07465 [x*(x^3-4*x^2+5*x-4)/(x-1)^5 ogf] A014632 10.4683 [-(5+65*x+7*x^5+23*x^4+120*x^3+68*x^2)/(x-1)/(x+1)/(7*x^4+8*x^3+28*x^2+4*x+1) lgdogf] A014632 8.62573 [-(7*x^4+8*x^3+28*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A014633 10.8852 [-(11+59*x+37*x^3+35*x^2+2*x^4)/(x-1)/(x+1)/(x^3+12*x^2+5*x+6) lgdogf] A014633 7.33766 [-2*x*(x^3+12*x^2+5*x+6)/(x+1)^2/(x-1)^3 ogf] A014634 13.1836 [-(3*x^2+12*x+1)/(x-1)^3 ogf] A014634 22.2847 [-3*(5+10*x+x^2)/(x-1)/(3*x^2+12*x+1) lgdogf] A014634 6.92699 [(1184*f(x)-8609)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+12*x+1) ogf] A014634 7.17004 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=45} ogf] A014635 13.8319 [-2*x*(5*x+3)/(x-1)^3 ogf] A014635 32.9540 [-2*(7+5*x)/(5*x+3)/(x-1) lgdogf] A014635 6.79871 [-(1440*f(x)-7469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+6*x) ogf] A014635 7.16293 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=28} ogf] A014637 8.34517 [-(13*x^4+14*x^3+46*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A014637 9.70482 [-(7+103*x+13*x^5+41*x^4+204*x^3+112*x^2)/(x-1)/(x+1)/(13*x^4+14*x^3+46*x^2+6*x+1) lgdogf] A014640 12.9744 [-(17+95*x+4*x^4+65*x^3+59*x^2)/(x-1)/(x+1)/(2*x^3+21*x^2+8*x+9) lgdogf] A014640 9.00802 [-2*x*(2*x^3+21*x^2+8*x+9)/(x+1)^2/(x-1)^3 ogf] A014641 13.2855 [-(5*x^2+18*x+1)/(x-1)^3 ogf] A014641 21.8556 [-(21+46*x+5*x^2)/(x-1)/(5*x^2+18*x+1) lgdogf] A014641 6.80746 [(10800*f(x)-115157)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+18*x+1) ogf] A014641 7.22546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=65} ogf] A014642 14.3538 [-8*x*(2*x+1)/(x-1)^3 ogf] A014642 37.3259 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A014642 7.23932 [-(27*f(x)-208)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+8*x) ogf] A014642 7.43323 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=40} ogf] A014679 22.0408 [-2*x^5+x^3+3*x^2+x ogf_with_Euler_transform] A014679 7.51255 [-(x^2-x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A014679 9.87810 [-x*(2+3*x^5-3*x^4+8*x^3+x^2+7*x)/(x-1)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A014681 13.2030 [x*(x^2-x+2)/(x+1)/(x-1)^2 ogf] A014681 22.2487 [-(1+7*x+x^3-x^2)/(x-1)/(1+x)/(x^2-x+2) lgdogf] A014681 6.55112 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=2,a(2)=1,a(3)=4} ogf] A014681 6.9772 [-(484*f(x)+445)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x+x^2+f(x)-2*x) ogf] A014682 13.9991 [x*(x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A014682 19.5629 [-(1+10*x+2*x^3+3*x^2)/(x-1)/(1+x)/(x^2+x+2) lgdogf] A014682 7.98082 [-(1184*f(x)-3809)*(f(x)*x^4-2*f(x)*x^2-x^3-x^2+f(x)-2*x) ogf] A014695 16.2507 [-(x^2+x+1)/(x-1)/(x^2+1) ogf] A014695 23.1590 [-(2+x^4+2*x^3+x^2)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A014695 29.9774 [x^3-x^2-x+2 ogf_with_Euler_transform] A014695 8.61994 [-(5*f(x)-6)*(f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)+x+1) ogf] A014695 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A014696 11.1842 [-(3+22*x+6*x^5+46*x^3+9*x^4+22*x^2)/(x-1)/(x+1)/(x^4+x^3+5*x^2+x+1) lgdogf] A014696 5.65847 [(x^4+x^3+5*x^2+x+1)/(x+1)^4/(x-1)^6 ogf] A014705 99.9999 Evaluated at exp(-Pi) 3*exp(-1/6*Pi)*2^(1/2) A014717 12.4373 [-(x^2+14*x-9)/(x+1)/(x^2-3*x+1) ogf] A014717 6.47992 [(5099*f(x)-14106)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)+14*x-9) ogf] A014717 6.82400 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=4,a(2)=25} ogf] A014718 4.13748 [-(4*x^9-8*x^8+36*x^7-115*x^6+86*x^5+70*x^4-162*x^3+130*x^2-54*x+9)/(x+1)/(x^2-3*x+1)/(x^2+x-1)^2/(x-1)^3 ogf] A014728 5.82758 [-(1+20*x+28*x^5+204*x^3+x^8+4*x^7+238*x^4+80*x^2)/(x-1)/(1+x^2)/(x^2+4*x+1)/(x^2-4*x-1)/(x^2+4*x-1) lgdogf] A014728 6.47771 [-(x^2+4*x+1)*(x-1)^3/(x^2+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A014729 11.6281 [-4*x*(x-1)/(x+1)/(x^2-18*x+1) ogf] A014729 6.01803 [{a(n+3)-17*a(n+2)-17*a(n+1)+a(n),a(0)=0,a(1)=4,a(2)=64} ogf] A014729 6.29408 [(4*f(x)+1)*(f(x)*x^3-17*f(x)*x^2-17*f(x)*x+4*x^2+f(x)-4*x) ogf] A014730 8.16834 [-(x-1)*(x^4+10*x^3+42*x^2+10*x+1)/(x^2+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A014731 5.09798 [-(24460*f(x)-30487)*(f(x)*x^3-17*f(x)*x^2-17*f(x)*x+16*x^2+f(x)+52*x-4) ogf] A014731 5.53370 [{-a(n+3)+17*a(n+2)+17*a(n+1)-a(n),a(0)=4,a(1)=16,a(2)=324} ogf] A014731 7.46467 [-2*(2+13*x+2*x^4+13*x^3-78*x^2)/(x+1)/(4*x^2+13*x-1)/(x^2-18*x+1) lgdogf] A014731 9.96066 [-4*(4*x^2+13*x-1)/(x+1)/(x^2-18*x+1) ogf] A014736 3.95110 [-(x^8+8*x^7+212*x^6+184*x^5+726*x^4+184*x^3+212*x^2+8*x+1)/(x+1)^4/(x-1)^5 ogf] A014738 4.48238 [-4*(9*x^6+16*x^5+135*x^4+64*x^3+135*x^2+16*x+9)/(x+1)^4/(x-1)^5 ogf] A014738 5.76725 [-(25+367*x+27*x^7+455*x^2+1549*x^3+599*x^4+745*x^5+73*x^6)/(x-1)/(x+1)/(9*x^6+16*x^5+135*x^4+64*x^3+135*x^2+16*x+9) lgdogf] A014739 15.6228 [(x^2+1)/(x-1)/(x^2+x-1) ogf] A014739 17.4668 [-(-2-2*x+x^4+5*x^2)/(x-1)/(x^2+1)/(x^2+x-1) lgdogf] A014739 8.14378 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A014739 8.41225 [(15*f(x)-92)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A014742 13.7838 [(x^2+1)/(x+1)/(x^2-3*x+1) ogf] A014742 17.1572 [-(-2-6*x+x^4+5*x^2)/(x+1)/(1+x^2)/(1+x^2-3*x) lgdogf] A014742 6.95289 [-(59*f(x)+36)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-1) ogf] A014742 7.01497 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A014743 10.1131 [-(x+1)/(x^5+x^4+x^2+x-1) ogf] A014743 11.1674 [-(2+2*x+4*x^5+8*x^4+4*x^3+x^2)/(x+1)/(x^5+x^4+x^2+x-1) lgdogf] A014769 4.44858 [-(49*x^8+176*x^7+2828*x^6+1976*x^5+6294*x^4+1280*x^3+1196*x^2+24*x+1)/(x+1)^4/(x-1)^5 ogf] A014770 3.97089 [-4*(x^7+168*x^6+227*x^5+1428*x^4+551*x^3+960*x^2+85*x+36)/(x+1)^4/(x-1)^5 ogf] A014771 7.67796 [-(9*x^4+396*x^3+910*x^2+220*x+1)/(x-1)^5 ogf] A014771 8.27734 [-3*(75+900*x+1306*x^2+276*x^3+3*x^4)/(x-1)/(9*x^4+396*x^3+910*x^2+220*x+1) lgdogf] A014772 10.3173 [-2*(98+501*x+336*x^2+25*x^3)/(-1+x)/(25*x^3+199*x^2+151*x+9) lgdogf] A014772 6.72416 [-4*(25*x^3+199*x^2+151*x+9)/(x-1)^5 ogf] A014773 4.39481 [-(169*x^8+560*x^7+8396*x^6+5648*x^5+17262*x^4+3344*x^3+2972*x^2+48*x+1)/(x+1)^4/(x-1)^5 ogf] A014775 22.4084 [(-2-2*x-x^2)*f(x)-2*f(x)^2 lgdegf] A014775 3.23770 [{(-n^2-5*n-6)*a(n+1)+(-2*n-6)*a(n+2)-2*a(n+4)-2*a(n+3),a(0)=1,a(1)=-1,a(2)=0,a(3)=1} ogf] A014787 29.5858 [-12/(-x-1) ogf_with_Euler_transform] A014787 99.9999 Evaluated at exp(-Pi) 1/256*exp(3/2*Pi)*Pi^3*2^(1/2)/GAMMA(3/4)^12 A014792 4.47015 [-4*x*(4*x^7+525*x^6+680*x^5+4071*x^4+1508*x^3+2523*x^2+208*x+81)/(x+1)^4/(x-1)^5 ogf] A014793 6.32641 [-(25*x^4+964*x^3+2030*x^2+436*x+1)/(x-1)^5 ogf] A014793 8.18702 [-(441+5804*x+25*x^4+2028*x^3+8982*x^2)/(x-1)/(25*x^4+964*x^3+2030*x^2+436*x+1) lgdogf] A014794 6.32071 [-64*x*(4*x^3+29*x^2+20*x+1)/(x-1)^5 ogf] A014795 4.24755 [-(x^6+1218*x^5+18671*x^4+42140*x^3+18671*x^2+1218*x+1)/(x-1)^7 ogf] A014799 3.86291 [-(81*x^6+21042*x^5+216463*x^4+369404*x^3+124671*x^2+5618*x+1)/(x-1)^7 ogf] A014805 30.3492 [-16/(-x-1) ogf_with_Euler_transform] A014806 29.1555 [-20/(-x-1) ogf_with_Euler_transform] A014809 30.0748 [-24/(-x-1) ogf_with_Euler_transform] A014820 27.6955 [[8-3*x] ogf_with_Euler_transform] A014820 28.6738 [-2*(4+x)/(x-1)/(x+1) lgdogf] A014820 4.34972 [{(-n-3)*a(n+3)+8*a(n+2)+(n+3)*a(n+1),a(0)=1,a(1)=8,a(2)=33} ogf] A014820 6.74956 [-(x+1)^3/(x-1)^5 ogf] A014824 16.1913 [-x/(10*x-1)/(x-1)^2 ogf] A014824 19.0097 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A014824 6.19494 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A014824 6.91668 [(12*f(x)+1)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+x) ogf] A014825 15.1210 [-1/(4*x-1)/(x-1)^2 ogf] A014825 4.95113 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=6,a(2)=27} ogf] A014825 5.32837 [(2579*f(x)-1040)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A014827 14.8220 [-1/(5*x-1)/(x-1)^2 ogf] A014827 22.9608 [-(-7+15*x)/(5*x-1)/(x-1) lgdogf] A014827 4.94067 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=7,a(2)=38} ogf] A014827 5.26389 [(22461*f(x)-7325)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A014829 14.5056 [-1/(6*x-1)/(x-1)^2 ogf] A014829 21.5693 [-2*(-4+9*x)/(6*x-1)/(x-1) lgdogf] A014829 4.83521 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=1,a(1)=8,a(2)=51} ogf] A014829 5.10384 [(54121*f(x)-14796)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A014830 13.7924 [-1/(7*x-1)/(x-1)^2 ogf] A014830 20.4933 [-3*(-3+7*x)/(7*x-1)/(x-1) lgdogf] A014830 4.59746 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=1,a(1)=9,a(2)=66} ogf] A014830 4.89823 [(12709*f(x)-2989)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A014831 17.7207 [-1/(8*x-1)/(x-1)^2 ogf] A014831 26.1126 [-2*(-5+12*x)/(8*x-1)/(x-1) lgdogf] A014831 5.95781 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=1,a(1)=10,a(2)=83} ogf] A014831 6.39914 [(31335*f(x)-6464)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A014832 13.1178 [-1/(9*x-1)/(x-1)^2 ogf] A014832 20.0014 [-(-11+27*x)/(9*x-1)/(x-1) lgdogf] A014832 4.37261 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=1,a(1)=11,a(2)=102} ogf] A014832 4.65087 [(390277*f(x)-71685)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A014833 5.55214 [-(f(x)-1)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A014833 7.86252 [-(x^3-5*x^2+4*x-1)/(2*x-1)/(x-1)^3 ogf] A014833 9.86348 [-(1-6*x+2*x^4-16*x^3+16*x^2)/(x-1)/(2*x-1)/(x^3-5*x^2+4*x-1) lgdogf] A014844 10.8373 [-(-2+10*x+12*x^3+2*x^4-19*x^2)/(-1+x)/(2*x-1)/(x^3+2*x^2-3*x+1) lgdogf] A014844 5.04792 [(11*f(x)-3)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-x^3-5*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A014844 9.04694 [(x^3+2*x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A014846 14.9178 [-(4*x-1)*(x^2-4*x+2)/(x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A014846 4.9368 [-(35*f(x)+31)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-3*x^2+f(x)+x) ogf] A014846 9.40023 [-x*(x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A014848 12.7028 [-x*(2*x^2+x+1)/(x+1)/(x-1)^3 ogf] A014848 18.0864 [-(3+10*x+4*x^3+7*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A014848 6.60547 [-(4192*f(x)-8191)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+x^2-f(x)+x) ogf] A014881 15.6055 [-1/(11*x-1)/(x-1)^2 ogf] A014881 23.5555 [-(-13+33*x)/(11*x-1)/(x-1) lgdogf] A014881 5.29001 [{a(n+3)-13*a(n+2)+23*a(n+1)-11*a(n),a(0)=1,a(1)=13,a(2)=146} ogf] A014881 5.52408 [(1045221*f(x)-157421)*(11*f(x)*x^3-23*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A014882 16.1208 [-1/(12*x-1)/(x-1)^2 ogf] A014882 23.4465 [-2*(-7+18*x)/(12*x-1)/(x-1) lgdogf] A014882 5.46468 [{a(n+3)-14*a(n+2)+25*a(n+1)-12*a(n),a(0)=1,a(1)=14,a(2)=171} ogf] A014882 5.70648 [(1604041*f(x)-221616)*(12*f(x)*x^3-25*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A014888 3.01450 [(61813*x^2+x+761729)/(x^2+x+1)/(x-1)^2 ogf] A014889 8.75059 [(3934*x^6+2101*x^5+x^4+7*x^3+x^2+55835*x+761664)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A014892 5.69573 [(1731*x^6+x^5+x^4+x^3+x^2+2153*x+42768)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A014896 16.4889 [-1/(13*x-1)/(x-1)^2 ogf] A014896 5.58945 [{a(n+3)-15*a(n+2)+27*a(n+1)-13*a(n),a(0)=1,a(1)=15,a(2)=198} ogf] A014896 5.88888 [(793295*f(x)-101231)*(13*f(x)*x^3-27*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A014897 16.8569 [-1/(14*x-1)/(x-1)^2 ogf] A014897 24.5370 [-2*(-8+21*x)/(14*x-1)/(x-1) lgdogf] A014897 5.71421 [{a(n+3)-16*a(n+2)+29*a(n+1)-14*a(n),a(0)=1,a(1)=16,a(2)=227} ogf] A014897 5.96705 [(3430617*f(x)-406700)*(14*f(x)*x^3-29*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A014898 13.3869 [-1/(15*x-1)/(x-1)^2 ogf] A014898 4.53794 [{a(n+3)-17*a(n+2)+31*a(n+1)-15*a(n),a(0)=1,a(1)=17,a(2)=258} ogf] A014898 4.82412 [(689083*f(x)-76275)*(15*f(x)*x^3-31*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A014899 14.5214 [-x/(16*x-1)/(x-1)^2 ogf] A014899 23.3374 [-6*(-3+8*x)/(-1+16*x)/(x-1) lgdogf] A014899 5.55603 [{a(n+3)-18*a(n+2)+33*a(n+1)-16*a(n),a(0)=0,a(1)=1,a(2)=18} ogf] A014899 6.20333 [(18*f(x)+1)*(16*f(x)*x^3-33*f(x)*x^2+18*f(x)*x-f(x)+x) ogf] A014900 15.8248 [-1/(17*x-1)/(x-1)^2 ogf] A014900 23.9011 [-(-19+51*x)/(17*x-1)/(x-1) lgdogf] A014900 5.36433 [{a(n+3)-19*a(n+2)+35*a(n+1)-17*a(n),a(0)=1,a(1)=19,a(2)=326} ogf] A014900 5.60169 [(8957301*f(x)-875381)*(17*f(x)*x^3-35*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A014901 14.2369 [-1/(18*x-1)/(x-1)^2 ogf] A014901 19.9337 [-2*(-10+27*x)/(18*x-1)/(x-1) lgdogf] A014901 4.82606 [{a(n+3)-20*a(n+2)+37*a(n+1)-18*a(n),a(0)=1,a(1)=20,a(2)=363} ogf] A014901 4.95196 [(11886625*f(x)-1097388)*(18*f(x)*x^3-37*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A014903 16.3306 [-1/(19*x-1)/(x-1)^2 ogf] A014903 5.53580 [{a(n+3)-21*a(n+2)+39*a(n+1)-19*a(n),a(0)=1,a(1)=21,a(2)=402} ogf] A014903 5.78074 [(5178919*f(x)-453055)*(19*f(x)*x^3-39*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A014904 16.6196 [-1/(20*x-1)/(x-1)^2 ogf] A014904 23.3294 [-2*(-11+30*x)/(20*x-1)/(x-1) lgdogf] A014904 5.63377 [{a(n+3)-22*a(n+2)+41*a(n+1)-20*a(n),a(0)=1,a(1)=22,a(2)=443} ogf] A014904 5.78074 [(20033241*f(x)-1665200)*(20*f(x)*x^3-41*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A014905 12.8926 [-1/(21*x-1)/(x-1)^2 ogf] A014905 19.4081 [-(-23+63*x)/(21*x-1)/(x-1) lgdogf] A014905 4.37036 [{a(n+3)-23*a(n+2)+43*a(n+1)-21*a(n),a(0)=1,a(1)=23,a(2)=486} ogf] A014905 4.48436 [(25515421*f(x)-2020221)*(21*f(x)*x^3-43*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A014907 13.1698 [-1/(22*x-1)/(x-1)^2 ogf] A014907 19.1001 [-6*(-4+11*x)/(22*x-1)/(x-1) lgdogf] A014907 4.46434 [{a(n+3)-24*a(n+2)+45*a(n+1)-22*a(n),a(0)=1,a(1)=24,a(2)=531} ogf] A014907 4.66187 [(1530341*f(x)-115676)*(22*f(x)*x^3-45*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A014909 13.3084 [-1/(23*x-1)/(x-1)^2 ogf] A014909 20.0480 [-(-25+69*x)/(23*x-1)/(x-1) lgdogf] A014909 4.51133 [{a(n+3)-25*a(n+2)+47*a(n+1)-23*a(n),a(0)=1,a(1)=25,a(2)=578} ogf] A014909 4.62902 [(40067565*f(x)-2897333)*(23*f(x)*x^3-47*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A014913 13.3778 [-1/(24*x-1)/(x-1)^2 ogf] A014913 18.0696 [-2*(-13+36*x)/(24*x-1)/(-1+x) lgdogf] A014913 4.53483 [{a(n+3)-26*a(n+2)+49*a(n+1)-24*a(n),a(0)=1,a(1)=26,a(2)=627} ogf] A014913 4.65313 [(49491697*f(x)-3430080)*(24*f(x)*x^3-49*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A014914 13.6550 [-1/(25*x-1)/(x-1)^2 ogf] A014914 19.8189 [-3*(-9+25*x)/(25*x-1)/(x-1) lgdogf] A014914 4.62881 [{a(n+3)-27*a(n+2)+51*a(n+1)-25*a(n),a(0)=1,a(1)=27,a(2)=678} ogf] A014914 4.83363 [(2244863*f(x)-149375)*(25*f(x)*x^3-51*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A014915 18.1274 [-1/(x-1)/(3*x-1)^2 ogf] A014915 26.9443 [-(-7+9*x)/(3*x-1)/(x-1) lgdogf] A014915 6.04246 [{a(n+3)-7*a(n+2)+15*a(n+1)-9*a(n),a(0)=1,a(1)=7,a(2)=34} ogf] A014915 7.24373 [(181*f(x)-61)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A014916 15.6930 [-1/(x-1)/(4*x-1)^2 ogf] A014916 23.0639 [-3*(-3+4*x)/(-1+4*x)/(x-1) lgdogf] A014916 5.32197 [{a(n+3)-9*a(n+2)+24*a(n+1)-16*a(n),a(0)=1,a(1)=9,a(2)=57} ogf] A014916 5.88487 [(101*f(x)-20)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A014917 13.9302 [-1/(x-1)/(5*x-1)^2 ogf] A014917 21.8089 [-(-11+15*x)/(5*x-1)/(x-1) lgdogf] A014917 4.76244 [{a(n+3)-11*a(n+2)+35*a(n+1)-25*a(n),a(0)=1,a(1)=11,a(2)=86} ogf] A014917 5.20753 [(4881*f(x)-625)*(25*f(x)*x^3-35*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A014918 15.0536 [-1/(x-1)/(6*x-1)^2 ogf] A014918 22.6984 [-(-13+18*x)/(6*x-1)/(-1+x) lgdogf] A014918 5.10290 [{a(n+3)-13*a(n+2)+48*a(n+1)-36*a(n),a(0)=1,a(1)=13,a(2)=121} ogf] A014918 5.73469 [(933*f(x)-83)*(36*f(x)*x^3-48*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A014920 14.3542 [-1/(x-1)/(7*x-1)^2 ogf] A014920 22.4955 [-3*(-5+7*x)/(7*x-1)/(x-1) lgdogf] A014920 4.86581 [{a(n+3)-15*a(n+2)+63*a(n+1)-49*a(n),a(0)=1,a(1)=15,a(2)=162} ogf] A014920 5.36603 [(7625*f(x)-497)*(49*f(x)*x^3-63*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A014921 13.5125 [-1/(x-1)/(8*x-1)^2 ogf] A014921 21.1575 [-(-17+24*x)/(8*x-1)/(x-1) lgdogf] A014921 4.58050 [{a(n+3)-17*a(n+2)+80*a(n+1)-64*a(n),a(0)=1,a(1)=17,a(2)=209} ogf] A014921 5.0514 [(3057*f(x)-152)*(64*f(x)*x^3-80*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A014923 12.2536 [-1/(x-1)/(9*x-1)^2 ogf] A014923 19.1525 [-(-19+27*x)/(9*x-1)/(x-1) lgdogf] A014923 4.15377 [{a(n+3)-19*a(n+2)+99*a(n+1)-81*a(n),a(0)=1,a(1)=19,a(2)=262} ogf] A014923 4.53839 [(24911*f(x)-975)*(81*f(x)*x^3-99*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A014925 12.2098 [-1/(x-1)/(10*x-1)^2 ogf] A014925 4.27342 [{a(n+3)-21*a(n+2)+120*a(n+1)-100*a(n),a(0)=1,a(1)=21,a(2)=321} ogf] A014925 4.66192 [(10288*f(x)-325)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A014926 10.9583 [-1/(x-1)/(11*x-1)^2 ogf] A014926 16.6355 [-(-23+33*x)/(11*x-1)/(-1+x) lgdogf] A014926 3.83542 [{a(n+3)-23*a(n+2)+143*a(n+1)-121*a(n),a(0)=1,a(1)=23,a(2)=386} ogf] A014926 4.10937 [(194871*f(x)-5071)*(121*f(x)*x^3-143*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A014927 11.2884 [-1/(x-1)/(12*x-1)^2 ogf] A014927 17.8086 [-(-25+36*x)/(12*x-1)/(x-1) lgdogf] A014927 3.95094 [{a(n+3)-25*a(n+2)+168*a(n+1)-144*a(n),a(0)=1,a(1)=25,a(2)=457} ogf] A014927 4.27129 [(49355*f(x)-1076)*(144*f(x)*x^3-168*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A014928 11.4865 [-1/(x-1)/(13*x-1)^2 ogf] A014928 17.4570 [-3*(-9+13*x)/(13*x-1)/(x-1) lgdogf] A014928 4.02026 [{a(n+3)-27*a(n+2)+195*a(n+1)-169*a(n),a(0)=1,a(1)=27,a(2)=534} ogf] A014928 4.38573 [(16139*f(x)-299)*(169*f(x)*x^3-195*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A014929 17.1759 [-1/(x-1)/(14*x-1)^2 ogf] A014929 27.2927 [-(-29+42*x)/(14*x-1)/(x-1) lgdogf] A014929 6.01157 [{a(n+3)-29*a(n+2)+224*a(n+1)-196*a(n),a(0)=1,a(1)=29,a(2)=617} ogf] A014929 6.44096 [(155937*f(x)-2485)*(196*f(x)*x^3-224*f(x)*x^2+29*f(x)*x-f(x)+1) ogf] A014930 12.0145 [-1/(x-1)/(15*x-1)^2 ogf] A014930 18.9816 [-(-31+45*x)/(15*x-1)/(x-1) lgdogf] A014930 4.20509 [{a(n+3)-31*a(n+2)+255*a(n+1)-225*a(n),a(0)=1,a(1)=31,a(2)=706} ogf] A014930 4.58737 [(41511*f(x)-575)*(225*f(x)*x^3-255*f(x)*x^2+31*f(x)*x-f(x)+1) ogf] A014931 12.2786 [-1/(x-1)/(16*x-1)^2 ogf] A014931 18.0218 [-3*(-11+16*x)/(16*x-1)/(x-1) lgdogf] A014931 4.29752 [{a(n+3)-33*a(n+2)+288*a(n+1)-256*a(n),a(0)=1,a(1)=33,a(2)=801} ogf] A014931 4.60448 [(198841*f(x)-2416)*(256*f(x)*x^3-288*f(x)*x^2+33*f(x)*x-f(x)+1) ogf] A014934 14.1660 [-1/(x-1)/(17*x-1)^2 ogf] A014934 19.6214 [-(-35+51*x)/(17*x-1)/(x-1) lgdogf] A014934 4.95812 [{a(n+3)-35*a(n+2)+323*a(n+1)-289*a(n),a(0)=1,a(1)=35,a(2)=902} ogf] A014934 5.21908 [(1602885*f(x)-17221)*(289*f(x)*x^3-323*f(x)*x^2+35*f(x)*x-f(x)+1) ogf] A014935 12.7407 [-1/(x-1)/(18*x-1)^2 ogf] A014935 19.4081 [-(-37+54*x)/(18*x-1)/(-1+x) lgdogf] A014935 4.42240 [{a(n+3)-37*a(n+2)+360*a(n+1)-324*a(n),a(0)=1,a(1)=37,a(2)=1009} ogf] A014935 4.77776 [(176534*f(x)-1689)*(324*f(x)*x^3-360*f(x)*x^2+37*f(x)*x-f(x)+1) ogf] A014936 12.8727 [-1/(x-1)/(19*x-1)^2 ogf] A014936 18.9130 [-3*(-13+19*x)/(19*x-1)/(x-1) lgdogf] A014936 4.46822 [{a(n+3)-39*a(n+2)+399*a(n+1)-361*a(n),a(0)=1,a(1)=39,a(2)=1122} ogf] A014936 4.82727 [(919621*f(x)-7885)*(361*f(x)*x^3-399*f(x)*x^2+39*f(x)*x-f(x)+1) ogf] A014937 13.0708 [-1/(x-1)/(20*x-1)^2 ogf] A014937 20.6878 [-(-41+60*x)/(20*x-1)/(x-1) lgdogf] A014937 4.53697 [{a(n+3)-41*a(n+2)+440*a(n+1)-400*a(n),a(0)=1,a(1)=41,a(2)=1241} ogf] A014937 4.81555 [(1772853*f(x)-13700)*(400*f(x)*x^3-440*f(x)*x^2+41*f(x)*x-f(x)+1) ogf] A014938 13.2688 [-1/(x-1)/(21*x-1)^2 ogf] A014938 20.2296 [-(-43+63*x)/(21*x-1)/(-1+x) lgdogf] A014938 4.60571 [{a(n+3)-43*a(n+2)+483*a(n+1)-441*a(n),a(0)=1,a(1)=43,a(2)=1366} ogf] A014938 4.88851 [(1500907*f(x)-10507)*(441*f(x)*x^3-483*f(x)*x^2+43*f(x)*x-f(x)+1) ogf] A014940 13.3348 [-1/(x-1)/(22*x-1)^2 ogf] A014940 19.6062 [-3*(-15+22*x)/(22*x-1)/(x-1) lgdogf] A014940 4.62862 [{a(n+3)-45*a(n+2)+528*a(n+1)-484*a(n),a(0)=1,a(1)=45,a(2)=1497} ogf] A014940 5.09148 [(22445*f(x)-143)*(484*f(x)*x^3-528*f(x)*x^2+45*f(x)*x-f(x)+1) ogf] A014941 13.5329 [-1/(x-1)/(23*x-1)^2 ogf] A014941 21.4343 [-(-47+69*x)/(23*x-1)/(x-1) lgdogf] A014941 4.69736 [{a(n+3)-47*a(n+2)+575*a(n+1)-529*a(n),a(0)=1,a(1)=47,a(2)=1634} ogf] A014941 4.9858 [(7034763*f(x)-40963)*(529*f(x)*x^3-575*f(x)*x^2+47*f(x)*x-f(x)+1) ogf] A014942 13.6649 [-1/(x-1)/(24*x-1)^2 ogf] A014942 21.6475 [-(-49+72*x)/(24*x-1)/(x-1) lgdogf] A014942 4.74319 [{a(n+3)-49*a(n+2)+624*a(n+1)-576*a(n),a(0)=1,a(1)=49,a(2)=1777} ogf] A014942 5.07899 [(1445013*f(x)-7720)*(576*f(x)*x^3-624*f(x)*x^2+49*f(x)*x-f(x)+1) ogf] A014943 11.9283 [-1/(x-1)/(25*x-1)^2 ogf] A014943 17.5056 [-3*(-17+25*x)/(25*x-1)/(x-1) lgdogf] A014943 4.14040 [{a(n+3)-51*a(n+2)+675*a(n+1)-625*a(n),a(0)=1,a(1)=51,a(2)=1926} ogf] A014943 4.39464 [(3532127*f(x)-17375)*(625*f(x)*x^3-675*f(x)*x^2+51*f(x)*x-f(x)+1) ogf] A014969 12.2417 [-(-8*x^2+4*x-8)/(-x^4+1) ogf_with_Euler_transform] A014969 99.9999 Evaluated at exp(-Pi) 2^(1/2) A014970 11.5282 [-(-12*x^2+6*x-12)/(-x^4+1) ogf_with_Euler_transform] A014972 12.9615 [-(-16*x^2+8*x-16)/(-x^4+1) ogf_with_Euler_transform] A014972 99.9999 Evaluated at exp(-Pi) 2 A014979 3.35565 [-(2180454976*f(x)-167842065)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+15*x^2-f(x)+x) ogf] A014979 3.81454 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=210} ogf] A014979 7.19840 [-x*(15*x+1)/(x-1)/(x^2-194*x+1) ogf] A014979 7.97466 [-6*(35-65*x+5*x^3-487*x^2)/(x-1)/(15*x+1)/(x^2-194*x+1) lgdogf] A014983 11.8039 [3*f(x)*x^2-2*f(x)*x-f(x)+x ogf] A014983 20.8501 [1/6/x*(-1+2*x+(1-4*x+16*x^2)^(1/2)) revogf] A014983 21.1039 [-x/(3*x+1)/(x-1) ogf] A014983 29.1901 [-2*(-1+3*x)/(3*x+1)/(x-1) lgdogf] A014983 8.59790 [{a(n+2)+2*a(n+1)-3*a(n),a(0)=0,a(1)=1} ogf] A014985 17.4692 [1/8/x*(-1+3*x+(1-6*x+25*x^2)^(1/2)) revogf] A014985 20.3266 [-1/(4*x+1)/(x-1) ogf] A014985 26.5835 [-(-3+8*x)/(4*x+1)/(x-1) lgdogf] A014985 7.18868 [{a(n+2)+3*a(n+1)-4*a(n),a(0)=1,a(1)=-3} ogf] A014985 7.18869 [(17*f(x)-8)*(4*f(x)*x^2-3*f(x)*x-f(x)+1) ogf] A014986 16.2664 [1/10/x*(4*x-1+(36*x^2-8*x+1)^(1/2)) revogf] A014986 19.0020 [-1/(5*x+1)/(x-1) ogf] A014986 22.7730 [-2*(-2+5*x)/(5*x+1)/(x-1) lgdogf] A014986 6.72022 [{a(n+2)+4*a(n+1)-5*a(n),a(0)=1,a(1)=-4} ogf] A014986 6.72023 [(13*f(x)-5)*(5*f(x)*x^2-4*f(x)*x-f(x)+1) ogf] A014987 16.7037 [1/12/x*(-1+5*x+(1-10*x+49*x^2)^(1/2)) revogf] A014987 20.6817 [-1/(6*x+1)/(x-1) ogf] A014987 25.7516 [-(-5+12*x)/(6*x+1)/(x-1) lgdogf] A014987 7.22616 [(37*f(x)-12)*(6*f(x)*x^2-5*f(x)*x-f(x)+1) ogf] A014987 7.31427 [{a(n+2)+5*a(n+1)-6*a(n),a(0)=1,a(1)=-5} ogf] A014989 16.5597 [1/14/x*(6*x-1+(64*x^2-12*x+1)^(1/2)) revogf] A014989 19.9371 [-1/(7*x+1)/(x-1) ogf] A014989 23.8460 [-2*(-3+7*x)/(7*x+1)/(x-1) lgdogf] A014989 7.05093 [(25*f(x)-7)*(7*f(x)*x^2-6*f(x)*x-f(x)+1) ogf] A014989 7.05093 [{a(n+2)+6*a(n+1)-7*a(n),a(0)=1,a(1)=-6} ogf] A014990 15.1201 [1/16/x*(-1+7*x+(1-14*x+81*x^2)^(1/2)) revogf] A014990 18.7835 [-1/(8*x+1)/(x-1) ogf] A014990 22.3777 [-(-7+16*x)/(8*x+1)/(-1+x) lgdogf] A014990 6.56291 [(65*f(x)-16)*(8*f(x)*x^2-7*f(x)*x-f(x)+1) ogf] A014990 6.64294 [{a(n+2)+7*a(n+1)-8*a(n),a(0)=1,a(1)=-7} ogf] A014991 14.0613 [1/18/x*(8*x-1+(100*x^2-16*x+1)^(1/2)) revogf] A014991 17.4419 [-1/(9*x+1)/(x-1) ogf] A014991 20.8107 [-2*(-4+9*x)/(9*x+1)/(x-1) lgdogf] A014991 6.16848 [(41*f(x)-9)*(9*f(x)*x^2-8*f(x)*x-f(x)+1) ogf] A014991 6.16848 [{a(n+2)+8*a(n+1)-9*a(n),a(0)=1,a(1)=-8} ogf] A014992 14.0613 [1/20/x*(9*x-1+(121*x^2-18*x+1)^(1/2)) revogf] A014992 16.8605 [-1/(10*x+1)/(x-1) ogf] A014992 20.8107 [-(-9+20*x)/(10*x+1)/(x-1) lgdogf] A014992 5.95077 [(101*f(x)-20)*(10*f(x)*x^2-9*f(x)*x-f(x)+1) ogf] A014992 6.09416 [{a(n+2)+9*a(n+1)-10*a(n),a(0)=1,a(1)=-9} ogf] A014993 12.8584 [1/22/x*(-1+10*x+(1-20*x+144*x^2)^(1/2)) revogf] A014993 15.8111 [-1/(11*x+1)/(x-1) ogf] A014993 5.76641 [{a(n+2)+10*a(n+1)-11*a(n),a(0)=1,a(1)=-10} ogf] A014993 5.76642 [(61*f(x)-11)*(11*f(x)*x^2-10*f(x)*x-f(x)+1) ogf] A014994 13.0764 [1/24/x*(-1+11*x+(1-22*x+169*x^2)^(1/2)) revogf] A014994 16.0853 [-1/(12*x+1)/(x-1) ogf] A014994 19.6145 [-(-11+24*x)/(12*x+1)/(x-1) lgdogf] A014994 5.7982 [(145*f(x)-24)*(12*f(x)*x^2-11*f(x)*x-f(x)+1) ogf] A014994 5.86641 [{a(n+2)+11*a(n+1)-12*a(n),a(0)=1,a(1)=-11} ogf] A015000 13.3669 [1/26/x*(-1+12*x+(1-24*x+196*x^2)^(1/2)) revogf] A015000 16.4509 [-1/(13*x+1)/(x-1) ogf] A015000 19.3078 [-2*(-6+13*x)/(13*x+1)/(x-1) lgdogf] A015000 5.99974 [{a(n+2)+12*a(n+1)-13*a(n),a(0)=1,a(1)=-12} ogf] A015000 5.99975 [(85*f(x)-13)*(13*f(x)*x^2-12*f(x)*x-f(x)+1) ogf] A015128 18.4071 [-(x+2)/(x^2-1) ogf_with_Euler_transform] A015128 99.9999 Evaluated at exp(-Pi) 1/Pi^(1/4)*2^(1/4)*GAMMA(3/4) A015165 2.99943 [1326*x^11+1632*x^10+136*x^8+102*x^7 ogf_with_Euler_transform] A015219 15.5074 [-(35+155*x+x^3+65*x^2)/(x-1)/(1+x)/(x^2+30*x+1) lgdogf] A015219 3.95249 [{(-14*n^2-67*n-78)*a(n+1)+(28*n^2+140*n+273)*a(n+2)+(-14*n^2-73*n-93)*a(n+3),a(0)=1,a(1)=35,a(2)=165} ogf] A015219 5.05488 [(6784*f(x)+170841)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-31*x^2+f(x)-31*x-1) ogf] A015219 9.40592 [(x+1)*(x^2+30*x+1)/(x-1)^4 ogf] A015220 5.84384 [2*(2*x^6+3*x^5+5*x^4+12*x^3+5*x^2+3*x+2)/(x^2+x+1)^3/(x-1)^4 ogf] A015220 6.53983 [-(5+15*x+8*x^8+17*x^7+35*x^6+104*x^5+72*x^4+64*x^3+64*x^2)/(x-1)/(x^2+x+1)/(2*x^6+3*x^5+5*x^4+12*x^3+5*x^2+3*x+2) lgdogf] A015221 5.85425 [(x^6+4*x^5+47*x^4+24*x^3+47*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A015221 7.13391 [-(5+105*x+9*x^6+143*x^2+447*x^3+163*x^4+x^7+151*x^5)/(x-1)/(x+1)/(x^6+4*x^5+47*x^4+24*x^3+47*x^2+4*x+1) lgdogf] A015222 6.31832 [2*(7*x^4+8*x^3+34*x^2+8*x+7)/(x+1)^3/(x-1)^4 ogf] A015222 8.71547 [-(15+125*x+21*x^5+206*x^3+39*x^4+106*x^2)/(-1+x)/(1+x)/(7*x^4+8*x^3+34*x^2+8*x+7) lgdogf] A015223 12.9965 [-3*(3*x+5)*(x^2+26*x+5)/(x-1)/(9*x^3+111*x^2+71*x+1) lgdogf] A015223 4.42103 [(20553696*f(x)+1377595057)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-111*x^2+f(x)-71*x-1) ogf] A015223 8.62102 [(9*x^3+111*x^2+71*x+1)/(x-1)^4 ogf] A015224 5.27715 [2*x*(x^7+11*x^6+13*x^5+17*x^4+34*x^3+11*x^2+6*x+3)/(x^2+x+1)^3/(x-1)^4 ogf] A015224 5.67305 [-(9+31*x+133*x^6+334*x^5+149*x^2+167*x^3+204*x^4+45*x^8+77*x^7+3*x^9)/(x-1)/(x^2+x+1)/(x^7+11*x^6+13*x^5+17*x^4+34*x^3+11*x^2+6*x+3) lgdogf] A015225 5.67850 [(3*x^6+10*x^5+103*x^4+48*x^3+85*x^2+6*x+1)/(x+1)^3/(x-1)^4 ogf] A015225 6.58065 [-(7+183*x+23*x^6+265*x^2+885*x^3+345*x^4+3*x^7+337*x^5)/(x-1)/(x+1)/(3*x^6+10*x^5+103*x^4+48*x^3+85*x^2+6*x+1) lgdogf] A015226 6.27597 [2*(17*x^4+18*x^3+68*x^2+14*x+11)/(x+1)^3/(x-1)^4 ogf] A015226 8.42279 [-(25+227*x+51*x^5+89*x^4+426*x^3+206*x^2)/(x-1)/(1+x)/(17*x^4+18*x^3+68*x^2+14*x+11) lgdogf] A015234 15.7847 [-2*(-26+31*x+19*x^2)/(x-1)/(19*x^2+8*x-15) lgdogf] A015234 3.90251 [-(94392*f(x)-13164301)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+19*x^3-4*f(x)*x+8*x^2+f(x)-15*x) ogf] A015234 7.80501 [-x*(19*x^2+8*x-15)/(x-1)^4 ogf] A015237 16.8655 [-6*(2+5*x+x^2)/(x-1)/(3*x^2+8*x+1) lgdogf] A015237 3.94538 [-(343656*f(x)+1037135)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-8*x^2+f(x)-x) ogf] A015237 7.99886 [x*(3*x^2+8*x+1)/(x-1)^4 ogf] A015238 16.1069 [-2*(2+17*x+5*x^2)/(x-1)/(5*x^2+8*x-1) lgdogf] A015238 4.36962 [(920*f(x)+2699)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-8*x^2+f(x)+x) ogf] A015238 8.26038 [x*(5*x^2+8*x-1)/(x-1)^4 ogf] A015240 15.6830 [-2*(-2+19*x+7*x^2)/(x-1)/(7*x^2+8*x-3) lgdogf] A015240 4.0781 [-(150120*f(x)+473947)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-8*x^2+f(x)+3*x) ogf] A015240 8.21207 [x*(7*x^2+8*x-3)/(x-1)^4 ogf] A015242 16.0116 [-6*(-2+7*x+3*x^2)/(x-1)/(9*x^2+8*x-5) lgdogf] A015242 4.11409 [-(4104*f(x)+14501)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-8*x^2+f(x)+5*x) ogf] A015242 8.11545 [x*(9*x^2+8*x-5)/(x-1)^4 ogf] A015243 14.6215 [-2*(-10+23*x+11*x^2)/(x-1)/(11*x^2+8*x-7) lgdogf] A015243 4.16752 [-(744*f(x)+2071)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-11*x^3-4*f(x)*x-8*x^2+f(x)+7*x) ogf] A015243 8.05345 [x*(11*x^2+8*x-7)/(x-1)^4 ogf] A015245 14.4495 [-2*(-14+25*x+13*x^2)/(x-1)/(13*x^2+8*x-9) lgdogf] A015245 4.12237 [(2376*f(x)-838295)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-13*x^3-4*f(x)*x-8*x^2+f(x)+9*x) ogf] A015245 7.91049 [x*(13*x^2+8*x-9)/(x-1)^4 ogf] A015246 15.2809 [-6*(-6+9*x+5*x^2)/(x-1)/(15*x^2+8*x-11) lgdogf] A015246 4.03707 [(91800*f(x)+5382253)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-15*x^3-4*f(x)*x-8*x^2+f(x)+11*x) ogf] A015246 7.80501 [x*(15*x^2+8*x-11)/(x-1)^4 ogf] A015247 14.3573 [-2*(-22+29*x+17*x^2)/(x-1)/(17*x^2+8*x-13) lgdogf] A015247 4.1182 [(3000*f(x)+260923)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-17*x^3-4*f(x)*x-8*x^2+f(x)+13*x) ogf] A015247 7.85203 [x*(17*x^2+8*x-13)/(x-1)^4 ogf] A015249 14.4233 [-3*(-1-4*x+8*x^2)/(x-1)/(1+2*x)/(-1+4*x) lgdogf] A015249 15.9317 [1/(x-1)/(2*x+1)/(4*x-1) ogf] A015249 5.21657 [{a(n+3)-3*a(n+2)-6*a(n+1)+8*a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A015249 5.72304 [(301*f(x)+104)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A015251 12.6732 [-(-7-42*x+81*x^2)/(x-1)/(3*x+1)/(9*x-1) lgdogf] A015251 12.9696 [1/(x-1)/(3*x+1)/(9*x-1) ogf] A015251 4.39839 [{a(n+3)-7*a(n+2)-21*a(n+1)+27*a(n),a(0)=1,a(1)=7,a(2)=70} ogf] A015251 4.77184 [(7111*f(x)+729)*(27*f(x)*x^3-21*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A015253 12.2987 [1/(x-1)/(4*x+1)/(16*x-1) ogf] A015253 12.3212 [-(-13-104*x+192*x^2)/(x-1)/(4*x+1)/(16*x-1) lgdogf] A015253 4.58596 [{a(n+3)-13*a(n+2)-52*a(n+1)+64*a(n),a(0)=1,a(1)=13,a(2)=221} ogf] A015253 4.96462 [(68817*f(x)+3008)*(64*f(x)*x^3-52*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A015255 11.6931 [1/(x-1)/(5*x+1)/(25*x-1) ogf] A015255 11.9725 [-3*(-7-70*x+125*x^2)/(-1+x)/(5*x+1)/(25*x-1) lgdogf] A015255 4.48235 [{a(n+3)-21*a(n+2)-105*a(n+1)+125*a(n),a(0)=1,a(1)=21,a(2)=546} ogf] A015255 4.80252 [(403651*f(x)+9125)*(125*f(x)*x^3-105*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A015257 12.8986 [1/(x-1)/(36*x-1)/(6*x+1) ogf] A015257 4.90359 [{a(n+3)-31*a(n+2)-186*a(n+1)+216*a(n),a(0)=1,a(1)=31,a(2)=1147} ogf] A015257 5.29762 [(245659*f(x)+3240)*(216*f(x)*x^3-186*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A015258 13.8630 [1/(x-1)/(7*x+1)/(49*x-1) ogf] A015258 14.2410 [-(-43-602*x+1029*x^2)/(x-1)/(7*x+1)/(49*x-1) lgdogf] A015258 5.27021 [{a(n+3)-43*a(n+2)-301*a(n+1)+343*a(n),a(0)=1,a(1)=43,a(2)=2150} ogf] A015258 5.59382 [(5867751*f(x)+49049)*(343*f(x)*x^3-301*f(x)*x^2-43*f(x)*x+f(x)-1) ogf] A015259 10.7857 [1/(x-1)/(8*x+1)/(64*x-1) ogf] A015259 10.7908 [-3*(-19-304*x+512*x^2)/(x-1)/(8*x+1)/(64*x-1) lgdogf] A015259 4.10036 [{a(n+3)-57*a(n+2)-456*a(n+1)+512*a(n),a(0)=1,a(1)=57,a(2)=3705} ogf] A015259 4.31428 [(17010241*f(x)+95744)*(512*f(x)*x^3-456*f(x)*x^2-57*f(x)*x+f(x)-1) ogf] A015260 13.2459 [1/(x-1)/(81*x-1)/(9*x+1) ogf] A015260 13.2995 [-(-73-1314*x+2187*x^2)/(x-1)/(81*x-1)/(9*x+1) lgdogf] A015260 5.03563 [{a(n+3)-73*a(n+2)-657*a(n+1)+729*a(n),a(0)=1,a(1)=73,a(2)=5986} ogf] A015260 5.25268 [(43525027*f(x)+172773)*(729*f(x)*x^3-657*f(x)*x^2-73*f(x)*x+f(x)-1) ogf] A015261 3.63718 [{a(n+3)-91*a(n+2)-910*a(n+1)+1000*a(n),a(0)=1,a(1)=91,a(2)=9191} ogf] A015261 3.76048 [(100909101*f(x)+293000)*(1000*f(x)*x^3-910*f(x)*x^2-91*f(x)*x+f(x)-1) ogf] A015261 9.22291 [-(-91-1820*x+3000*x^2)/(x-1)/(10*x+1)/(100*x-1) lgdogf] A015261 9.44119 [1/(x-1)/(10*x+1)/(100*x-1) ogf] A015262 11.3103 [-3*(-37-814*x+1331*x^2)/(-1+x)/(11*x+1)/(121*x-1) lgdogf] A015262 11.5257 [1/(x-1)/(11*x+1)/(121*x-1) ogf] A015262 4.48221 [{a(n+3)-111*a(n+2)-1221*a(n+1)+1331*a(n),a(0)=1,a(1)=111,a(2)=13542} ogf] A015262 4.70632 [(215982823*f(x)+472505)*(1331*f(x)*x^3-1221*f(x)*x^2-111*f(x)*x+f(x)-1) ogf] A015264 3.88813 [{a(n+3)-133*a(n+2)-1596*a(n+1)+1728*a(n),a(0)=1,a(1)=133,a(2)=19285} ogf] A015264 4.08254 [(432738001*f(x)+730944)*(1728*f(x)*x^3-1596*f(x)*x^2-133*f(x)*x+f(x)-1) ogf] A015264 9.78869 [-(-133-3192*x+5184*x^2)/(-1+x)/(12*x+1)/(144*x-1) lgdogf] A015264 9.99806 [1/(x-1)/(12*x+1)/(144*x-1) ogf] A015265 12.2259 [1/(x-1)/(13*x+1)/(169*x-1) ogf] A015265 12.2606 [-(-157-4082*x+6591*x^2)/(x-1)/(13*x+1)/(169*x-1) lgdogf] A015265 4.75450 [{a(n+3)-157*a(n+2)-2041*a(n+1)+2197*a(n),a(0)=1,a(1)=157,a(2)=26690} ogf] A015265 4.99222 [(117173253*f(x)+155987)*(2197*f(x)*x^3-2041*f(x)*x^2-157*f(x)*x+f(x)-1) ogf] A015266 11.3484 [1/(x-1)/(2*x+1)/(8*x+1)/(4*x-1) ogf] A015266 4.32318 [(10013*f(x)+512)*(64*f(x)*x^4-40*f(x)*x^3-30*f(x)*x^2+5*f(x)*x+f(x)-1) ogf] A015266 9.81480 [-(5-60*x-120*x^2+256*x^3)/(-1+x)/(2*x+1)/(8*x+1)/(-1+4*x) lgdogf] A015268 10.5572 [1/(x-1)/(27*x+1)/(3*x+1)/(9*x-1) ogf] A015268 4.09681 [(3487583*f(x)+16767)*(729*f(x)*x^4-540*f(x)*x^3-210*f(x)*x^2+20*f(x)*x+f(x)-1) ogf] A015268 9.49260 [-4*(5-105*x-405*x^2+729*x^3)/(x-1)/(27*x+1)/(3*x+1)/(9*x-1) lgdogf] A015271 3.55039 [(353440021*f(x)+311296)*(4096*f(x)*x^4-3264*f(x)*x^3-884*f(x)*x^2+51*f(x)*x+f(x)-1) ogf] A015271 7.71418 [-(51-1768*x-9792*x^2+16384*x^3)/(-1+x)/(64*x+1)/(1+4*x)/(-1+16*x) lgdogf] A015271 8.50869 [1/(x-1)/(64*x+1)/(4*x+1)/(16*x-1) ogf] A015272 6.00829 [-4*(26-1365*x+15625*x^3-9750*x^2)/(-1+x)/(5*x+1)/(25*x-1)/(125*x+1) lgdogf] A015272 6.41268 [1/(x-1)/(5*x+1)/(25*x-1)/(125*x+1) ogf] A015273 6.33832 [-(185-13764*x+186624*x^3-119880*x^2)/(x-1)/(216*x+1)/(36*x-1)/(6*x+1) lgdogf] A015273 6.97377 [1/(x-1)/(216*x+1)/(36*x-1)/(6*x+1) ogf] A015275 6.97967 [-4*(75-7525*x-77175*x^2+117649*x^3)/(x-1)/(7*x+1)/(343*x+1)/(49*x-1) lgdogf] A015275 7.22535 [1/(x-1)/(7*x+1)/(343*x+1)/(49*x-1) ogf] A015276 7.17074 [-(455-59280*x-698880*x^2+1048576*x^3)/(x-1)/(512*x+1)/(8*x+1)/(64*x-1) lgdogf] A015276 7.64588 [1/(x-1)/(512*x+1)/(8*x+1)/(64*x-1) ogf] A015277 6.49277 [1/(x-1)/(81*x-1)/(9*x+1)/(729*x+1) ogf] A015278 5.78693 [-(909-183820*x+4000000*x^3-2727000*x^2)/(x-1)/(10*x+1)/(1000*x+1)/(100*x-1) lgdogf] A015278 6.53973 [1/(x-1)/(10*x+1)/(1000*x+1)/(100*x-1) ogf] A015279 6.08940 [-4*(305-74481*x-1217865*x^2+1771561*x^3)/(x-1)/(11*x+1)/(121*x-1)/(1331*x+1) lgdogf] A015279 6.67242 [1/(x-1)/(11*x+1)/(121*x-1)/(1331*x+1) ogf] A015287 6.79244 [-(11+220*x-1320*x^2-2816*x^3+5120*x^4)/(x-1)/(-1+4*x)/(8*x+1)/(2*x+1)/(16*x-1) lgdogf] A015287 8.58957 [-1/(x-1)/(4*x-1)/(8*x+1)/(2*x+1)/(16*x-1) ogf] A015288 5.09936 [-(61+3660*x+295245*x^4-177876*x^3-49410*x^2)/(x-1)/(27*x+1)/(81*x-1)/(9*x-1)/(3*x+1) lgdogf] A015288 6.35661 [-1/(x-1)/(27*x+1)/(81*x-1)/(9*x-1)/(3*x+1) ogf] A015289 5.96379 [-1/(x-1)/(256*x-1)/(64*x+1)/(4*x+1)/(16*x-1) ogf] A015291 5.38749 [-1/(x-1)/(5*x+1)/(25*x-1)/(625*x-1)/(125*x+1) ogf] A015292 5.65431 [-1/(x-1)/(216*x+1)/(36*x-1)/(1296*x-1)/(6*x+1) ogf] A015293 7.21807 [-1/(x-1)/(7*x+1)/(2401*x-1)/(343*x+1)/(49*x-1) ogf] A015305 5.76699 [-3*(-7+308*x+65536*x^5-35840*x^4-19712*x^3+3080*x^2)/(x-1)/(8*x+1)/(2*x+1)/(32*x+1)/(4*x-1)/(16*x-1) lgdogf] A015305 7.15959 [-1/(x-1)/(8*x+1)/(2*x+1)/(32*x+1)/(4*x-1)/(16*x-1) ogf] A015440 18.5149 [1/10/x*(-1-x+(21*x^2+2*x+1)^(1/2)) revogf] A015440 19.4754 [-1/(5*x^2+x-1) ogf] A015440 29.9764 [-(1+10*x)/(5*x^2-1+x) lgdogf] A015440 7.74323 [(41*f(x)-40)*(5*f(x)*x^2+f(x)*x-f(x)+1) ogf] A015440 7.83767 [{-a(n+2)+a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A015441 21.6941 [-x/(2*x+1)/(3*x-1) ogf] A015441 23.3082 [1/12/x*(-1-x+(25*x^2+2*x+1)^(1/2)) revogf] A015441 31.6992 [-(1+12*x)/(2*x+1)/(3*x-1) lgdogf] A015441 9.90966 [(f(x)+1)*(6*f(x)*x^2+f(x)*x-f(x)+x) ogf] A015441 9.90967 [{-a(n+2)+a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A015442 17.8154 [-x/(7*x^2+x-1) ogf] A015442 19.0965 [1/14/x*(-1-x+(29*x^2+2*x+1)^(1/2)) revogf] A015442 30.9181 [-(1+14*x)/(7*x^2-1+x) lgdogf] A015442 8.13787 [(f(x)+1)*(7*f(x)*x^2+f(x)*x-f(x)+x) ogf] A015442 8.13788 [{-a(n+2)+a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015443 17.9879 [1/16/x*(-1-x+(33*x^2+2*x+1)^(1/2)) revogf] A015443 18.9231 [-1/(8*x^2+x-1) ogf] A015443 29.1232 [-(1+16*x)/(8*x^2-1+x) lgdogf] A015443 7.52364 [(89*f(x)-88)*(8*f(x)*x^2+f(x)*x-f(x)+1) ogf] A015443 7.61540 [{-a(n+2)+a(n+1)+8*a(n),a(0)=1,a(1)=1} ogf] A015445 17.1989 [1/18/x*(-1-x+(37*x^2+2*x+1)^(1/2)) revogf] A015445 18.1052 [-1/(9*x^2+x-1) ogf] A015445 27.8458 [-(1+18*x)/(9*x^2-1+x) lgdogf] A015445 7.02911 [(109*f(x)-108)*(9*f(x)*x^2+f(x)*x-f(x)+1) ogf] A015445 7.28626 [{-a(n+2)+a(n+1)+9*a(n),a(0)=1,a(1)=1} ogf] A015446 17.5727 [1/20/x*(-1-x+(41*x^2+2*x+1)^(1/2)) revogf] A015446 17.9466 [-1/(10*x^2+x-1) ogf] A015446 27.1579 [-(1+20*x)/(10*x^2-1+x) lgdogf] A015446 7.09519 [(131*f(x)-130)*(10*f(x)*x^2+f(x)*x-f(x)+1) ogf] A015446 7.35164 [{-a(n+2)+a(n+1)+10*a(n),a(0)=1,a(1)=1} ogf] A015447 18.0401 [1/22/x*(-1-x+(45*x^2+2*x+1)^(1/2)) revogf] A015447 18.4140 [-1/(11*x^2+x-1) ogf] A015447 27.8802 [-(1+22*x)/(11*x^2-1+x) lgdogf] A015447 7.27996 [(155*f(x)-154)*(11*f(x)*x^2+f(x)*x-f(x)+1) ogf] A015447 7.54308 [{-a(n+2)+a(n+1)+11*a(n),a(0)=1,a(1)=1} ogf] A015448 10.0081 [{-a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015448 18.2370 [(3*x-1)/(x^2+4*x-1) ogf] A015448 20.1870 [1/2/(-3+x)*(-1-4*x+(1-4*x+20*x^2)^(1/2)) revogf] A015448 23.7494 [-(3*x+1)*(x-1)/(3*x-1)/(x^2+4*x-1) lgdogf] A015448 9.43291 [(26*f(x)-25)*(f(x)*x^2+4*f(x)*x-f(x)-3*x+1) ogf] A015449 12.9137 [(4*x-1)/(x^2+5*x-1) ogf] A015449 14.5834 [1/2/(x-4)*(-1-5*x+(1-6*x+29*x^2)^(1/2)) revogf] A015449 15.7986 [-(-1-2*x+4*x^2)/(-1+4*x)/(x^2+5*x-1) lgdogf] A015449 6.67949 [(37*f(x)-36)*(f(x)*x^2+5*f(x)*x-f(x)-4*x+1) ogf] A015449 7.08678 [{-a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015451 12.6517 [(5*x-1)/(x^2+6*x-1) ogf] A015451 13.9287 [1/2/(-5+x)*(-6*x-1+(40*x^2-8*x+1)^(1/2)) revogf] A015451 15.9185 [-(-1-2*x+5*x^2)/(5*x-1)/(x^2+6*x-1) lgdogf] A015451 6.54397 [(50*f(x)-49)*(f(x)*x^2+6*f(x)*x-f(x)-5*x+1) ogf] A015451 6.94299 [{-a(n+2)+6*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015453 13.4635 [(6*x-1)/(x^2+7*x-1) ogf] A015453 14.8420 [1/2/(x-6)*(-1-7*x+(1-10*x+53*x^2)^(1/2)) revogf] A015453 16.9623 [-(-1-2*x+6*x^2)/(6*x-1)/(x^2+7*x-1) lgdogf] A015453 6.96391 [(65*f(x)-64)*(f(x)*x^2+7*f(x)*x-f(x)-6*x+1) ogf] A015453 7.38852 [{-a(n+2)+7*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015454 14.0724 [(7*x-1)/(x^2+8*x-1) ogf] A015454 15.1483 [1/2/(-7+x)*(-8*x-1+(68*x^2-12*x+1)^(1/2)) revogf] A015454 7.27886 [(82*f(x)-81)*(f(x)*x^2+8*f(x)*x-f(x)-7*x+1) ogf] A015454 7.72268 [{-a(n+2)+8*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015455 11.6469 [(8*x-1)/(x^2+9*x-1) ogf] A015455 12.4959 [1/2/(-8+x)*(-1-9*x+(1-14*x+85*x^2)^(1/2)) revogf] A015455 13.8468 [-(4*x+1)*(2*x-1)/(-1+8*x)/(x^2+9*x-1) lgdogf] A015455 5.88888 [(101*f(x)-100)*(f(x)*x^2+9*f(x)*x-f(x)-8*x+1) ogf] A015455 6.39159 [{-a(n+2)+9*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015456 15.5535 [(9*x-1)/(x^2+10*x-1) ogf] A015456 16.3554 [1/2/(-9+x)*(-1-10*x+(1-16*x+104*x^2)^(1/2)) revogf] A015456 19.5357 [-(-1-2*x+9*x^2)/(9*x-1)/(x^2+10*x-1) lgdogf] A015456 7.94959 [(122*f(x)-121)*(f(x)*x^2+10*f(x)*x-f(x)-9*x+1) ogf] A015456 8.62002 [{-a(n+2)+10*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015457 15.2226 [(10*x-1)/(x^2+11*x-1) ogf] A015457 15.9837 [1/2/(-10+x)*(-1-11*x+(1-18*x+125*x^2)^(1/2)) revogf] A015457 18.5075 [-(-1-2*x+10*x^2)/(10*x-1)/(x^2+11*x-1) lgdogf] A015457 7.86223 [(145*f(x)-144)*(f(x)*x^2+11*f(x)*x-f(x)-10*x+1) ogf] A015457 8.62002 [{-a(n+2)+11*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A015518 10.893 [-3*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A015518 17.3700 [-x/(x+1)/(3*x-1) ogf] A015518 18.0800 [1/6/x*(-2*x-1+(16*x^2+4*x+1)^(1/2)) revogf] A015518 25.3121 [-2*(1+3*x)/(x+1)/(-1+3*x) lgdogf] A015518 7.93443 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015519 10.8023 [-7*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A015519 17.2254 [-x/(7*x^2+2*x-1) ogf] A015519 17.4356 [1/14/x*(-2*x-1+(32*x^2+4*x+1)^(1/2)) revogf] A015519 26.1534 [-2*(1+7*x)/(7*x^2-1+2*x) lgdogf] A015519 7.86837 [{-a(n+2)+2*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015520 15.1824 [-x/(11*x^2+2*x-1) ogf] A015520 15.7645 [1/22/x*(-2*x-1+(48*x^2+4*x+1)^(1/2)) revogf] A015520 21.8278 [-2*(1+11*x)/(11*x^2-1+2*x) lgdogf] A015520 7.03573 [{-a(n+2)+2*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015520 7.03574 [(2*f(x)+1)*(11*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A015521 10.1805 [-4*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A015521 16.2338 [-x/(x+1)/(4*x-1) ogf] A015521 16.8891 [1/8/x*(-1-3*x+(1+6*x+25*x^2)^(1/2)) revogf] A015521 25.7008 [-(3+8*x)/(x+1)/(-1+4*x) lgdogf] A015521 7.41544 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A015523 10.4499 [-5*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A015523 16.6633 [-x/(5*x^2+3*x-1) ogf] A015523 16.8613 [1/10/x*(-1-3*x+(1+6*x+29*x^2)^(1/2)) revogf] A015523 26.3916 [-(3+10*x)/(5*x^2-1+3*x) lgdogf] A015523 7.61163 [{-a(n+2)+3*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015524 15.9317 [-x/(7*x^2+3*x-1) ogf] A015524 16.1129 [1/14/x*(-1-3*x+(1+6*x+37*x^2)^(1/2)) revogf] A015524 7.27743 [{-a(n+2)+3*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015524 9.99107 [-7*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A015525 15.9317 [-x/(8*x^2+3*x-1) ogf] A015525 16.1129 [1/16/x*(-1-3*x+(1+6*x+41*x^2)^(1/2)) revogf] A015525 7.27743 [{-a(n+2)+3*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A015525 9.99107 [-8*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A015528 10.2426 [-10*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A015528 16.1725 [-x/(2*x+1)/(5*x-1) ogf] A015528 16.8097 [1/20/x*(-1-3*x+(1+6*x+49*x^2)^(1/2)) revogf] A015528 24.2060 [-(3+20*x)/(2*x+1)/(5*x-1) lgdogf] A015528 7.49459 [{-a(n+2)+3*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A015529 11.388 [-11*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A015529 17.9811 [-x/(11*x^2+3*x-1) ogf] A015529 18.7152 [1/22/x*(-1-3*x+(1+6*x+53*x^2)^(1/2)) revogf] A015529 28.0728 [-(3+22*x)/(11*x^2-1+3*x) lgdogf] A015529 8.33270 [{-a(n+2)+3*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015530 15.9317 [-x/(3*x^2+4*x-1) ogf] A015530 16.5733 [1/6/x*(-1-4*x+(1+8*x+28*x^2)^(1/2)) revogf] A015530 7.27743 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015530 9.99107 [-3*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A015531 15.2046 [-x/(x+1)/(5*x-1) ogf] A015531 15.3693 [1/10/x*(-1-4*x+(1+8*x+36*x^2)^(1/2)) revogf] A015531 23.0540 [-2*(2+5*x)/(x+1)/(5*x-1) lgdogf] A015531 6.94530 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015531 9.53508 [-5*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A015532 11.8504 [-7*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A015532 18.8965 [-x/(7*x^2+4*x-1) ogf] A015532 19.1566 [1/14/x*(-1-4*x+(1+8*x+44*x^2)^(1/2)) revogf] A015532 28.7349 [-2*(7*x+2)/(7*x^2-1+4*x) lgdogf] A015532 8.63174 [{-a(n+2)+4*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015533 12.1736 [-9*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A015533 19.4119 [-x/(9*x^2+4*x-1) ogf] A015533 19.6863 [1/18/x*(-1-4*x+(1+8*x+52*x^2)^(1/2)) revogf] A015533 29.5294 [-2*(2+9*x)/(9*x^2-1+4*x) lgdogf] A015533 8.86715 [{-a(n+2)+4*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A015534 14.2612 [-x/(11*x^2+4*x-1) ogf] A015534 14.7997 [1/22/x*(-1-4*x+(1+8*x+60*x^2)^(1/2)) revogf] A015534 20.4920 [-2*(2+11*x)/(11*x^2-1+4*x) lgdogf] A015534 6.60884 [{-a(n+2)+4*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015534 9.03208 [-11*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A015535 12.0658 [-2*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015535 19.2401 [-x/(2*x^2+5*x-1) ogf] A015535 19.5097 [1/4/x*(-1-5*x+(1+10*x+33*x^2)^(1/2)) revogf] A015535 31.9250 [-(5+4*x)/(2*x^2-1+5*x) lgdogf] A015535 8.78868 [{-a(n+2)+5*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A015536 12.1736 [-3*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015536 19.4119 [-x/(3*x^2+5*x-1) ogf] A015536 19.6863 [1/6/x*(-1-5*x+(1+10*x+37*x^2)^(1/2)) revogf] A015536 32.2139 [-(5+6*x)/(3*x^2-1+5*x) lgdogf] A015536 8.86715 [{-a(n+2)+5*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015537 11.2134 [-4*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015537 17.8808 [-x/(4*x^2+5*x-1) ogf] A015537 18.1162 [1/8/x*(-1-5*x+(1+10*x+41*x^2)^(1/2)) revogf] A015537 29.6446 [-(5+8*x)/(4*x^2-1+5*x) lgdogf] A015537 8.16775 [{-a(n+2)+5*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A015540 14.6466 [1/12/x*(-1-5*x+(1+10*x+49*x^2)^(1/2)) revogf] A015540 14.8935 [-x/(x+1)/(6*x-1) ogf] A015540 22.5802 [-(5+12*x)/(x+1)/(-1+6*x) lgdogf] A015540 6.80319 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A015540 9.33998 [-6*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015541 11.5854 [-7*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015541 18.2197 [1/14/x*(-1-5*x+(1+10*x+53*x^2)^(1/2)) revogf] A015541 18.4740 [-x/(7*x^2+5*x-1) ogf] A015541 29.3100 [-(5+14*x)/(7*x^2-1+5*x) lgdogf] A015541 8.43873 [{-a(n+2)+5*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015544 11.6917 [-8*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015544 18.3892 [1/16/x*(-1-5*x+(1+10*x+57*x^2)^(1/2)) revogf] A015544 18.6435 [-x/(8*x^2+5*x-1) ogf] A015544 29.5827 [-(5+16*x)/(8*x^2-1+5*x) lgdogf] A015544 8.51615 [{-a(n+2)+5*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A015545 11.798 [-9*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015545 18.5587 [1/18/x*(-1-5*x+(1+10*x+61*x^2)^(1/2)) revogf] A015545 18.8129 [-x/(9*x^2+5*x-1) ogf] A015545 29.8553 [-(5+18*x)/(9*x^2-1+5*x) lgdogf] A015545 8.59357 [{-a(n+2)+5*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A015547 10.6641 [-11*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015547 16.8380 [-x/(11*x^2+5*x-1) ogf] A015547 17.0425 [1/22/x*(-1-5*x+(1+10*x+69*x^2)^(1/2)) revogf] A015547 26.2738 [-(5+22*x)/(11*x^2-1+5*x) lgdogf] A015547 7.80299 [{-a(n+2)+5*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015548 10.7671 [-12*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A015548 17.0007 [-x/(12*x^2+5*x-1) ogf] A015548 17.2096 [1/24/x*(-1-5*x+(1+10*x+73*x^2)^(1/2)) revogf] A015548 26.5314 [-(5+24*x)/(12*x^2-1+5*x) lgdogf] A015548 7.87838 [{-a(n+2)+5*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A015551 15.4695 [1/10/x*(-6*x-1+(56*x^2+12*x+1)^(1/2)) revogf] A015551 15.7163 [-x/(5*x^2+6*x-1) ogf] A015551 23.8487 [-2*(3+5*x)/(5*x^2-1+6*x) lgdogf] A015551 7.17905 [{-a(n+2)+6*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015551 9.856 [-5*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A015552 10.0108 [-7*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A015552 15.7163 [1/14/x*(-6*x-1+(64*x^2+12*x+1)^(1/2)) revogf] A015552 15.9632 [-x/(x+1)/(7*x-1) ogf] A015552 24.2293 [-2*(3+7*x)/(x+1)/(7*x-1) lgdogf] A015552 7.29181 [{-a(n+2)+6*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015553 10.0977 [-11*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A015553 15.9437 [-x/(11*x^2+6*x-1) ogf] A015553 16.1277 [1/22/x*(-6*x-1+(80*x^2+12*x+1)^(1/2)) revogf] A015553 22.9510 [-2*(3+11*x)/(11*x^2-1+6*x) lgdogf] A015553 7.38852 [{-a(n+2)+6*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015555 10.2172 [-2*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015555 16.2923 [-x/(2*x^2+7*x-1) ogf] A015555 16.4912 [1/4/x*(-1-7*x+(1+14*x+57*x^2)^(1/2)) revogf] A015555 26.9855 [-(7+4*x)/(2*x^2-1+7*x) lgdogf] A015555 7.44216 [{-a(n+2)+7*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A015559 10.2688 [-3*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015559 16.3746 [-x/(3*x^2+7*x-1) ogf] A015559 16.5757 [1/6/x*(-1-7*x+(1+14*x+61*x^2)^(1/2)) revogf] A015559 27.1239 [-(7+6*x)/(3*x^2-1+7*x) lgdogf] A015559 7.47974 [{-a(n+2)+7*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015561 10.3204 [-4*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015561 16.4569 [-x/(4*x^2+7*x-1) ogf] A015561 16.6603 [1/8/x*(-1-7*x+(1+14*x+65*x^2)^(1/2)) revogf] A015561 27.2623 [-(7+8*x)/(4*x^2-1+7*x) lgdogf] A015561 7.51733 [{-a(n+2)+7*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A015562 10.372 [-5*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015562 16.2923 [1/10/x*(-1-7*x+(1+14*x+69*x^2)^(1/2)) revogf] A015562 16.5392 [-x/(5*x^2+7*x-1) ogf] A015562 26.2093 [-(7+10*x)/(5*x^2-1+7*x) lgdogf] A015562 7.55493 [{-a(n+2)+7*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015564 10.4236 [-6*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015564 16.3746 [1/12/x*(-1-7*x+(1+14*x+73*x^2)^(1/2)) revogf] A015564 16.6214 [-x/(6*x^2+7*x-1) ogf] A015564 26.3417 [-(7+12*x)/(6*x^2-1+7*x) lgdogf] A015564 7.59251 [{-a(n+2)+7*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A015565 10.5784 [-8*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015565 16.6214 [1/16/x*(-1-7*x+(1+14*x+81*x^2)^(1/2)) revogf] A015565 16.8683 [-x/(x+1)/(8*x-1) ogf] A015565 26.7388 [-(7+16*x)/(x+1)/(8*x-1) lgdogf] A015565 7.70527 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A015566 10.63 [-9*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015566 16.7037 [1/18/x*(-1-7*x+(1+14*x+85*x^2)^(1/2)) revogf] A015566 16.9506 [-x/(9*x^2+7*x-1) ogf] A015566 26.8712 [-(7+18*x)/(9*x^2-1+7*x) lgdogf] A015566 7.74285 [{-a(n+2)+7*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A015568 12.96 [-10*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015568 16.7860 [1/20/x*(-1-7*x+(1+14*x+89*x^2)^(1/2)) revogf] A015568 20.4632 [-x/(10*x^2+7*x-1) ogf] A015568 9.48295 [{-a(n+2)+7*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A015570 12.96 [-11*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015570 16.7860 [1/22/x*(-1-7*x+(1+14*x+93*x^2)^(1/2)) revogf] A015570 20.4632 [-x/(11*x^2+7*x-1) ogf] A015570 9.48295 [{-a(n+2)+7*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015572 13.0123 [-12*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A015572 16.8683 [1/24/x*(-1-7*x+(1+14*x+97*x^2)^(1/2)) revogf] A015572 20.5457 [-x/(12*x^2+7*x-1) ogf] A015572 26.0053 [-(7+24*x)/(12*x^2-1+7*x) lgdogf] A015572 9.52118 [{-a(n+2)+7*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A015574 13.2328 [-3*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A015574 17.3368 [1/6/x*(-8*x-1+(76*x^2+16*x+1)^(1/2)) revogf] A015574 21.1010 [-x/(3*x^2+8*x-1) ogf] A015574 26.0053 [-2*(4+3*x)/(3*x^2-1+8*x) lgdogf] A015574 9.63873 [{-a(n+2)+8*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015575 13.3391 [-5*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A015575 17.0329 [1/10/x*(-8*x-1+(84*x^2+16*x+1)^(1/2)) revogf] A015575 21.2705 [-x/(5*x^2+8*x-1) ogf] A015575 26.2590 [-2*(4+5*x)/(5*x^2-1+8*x) lgdogf] A015575 9.71615 [{-a(n+2)+8*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015576 13.4986 [-7*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A015576 17.2797 [1/14/x*(-8*x-1+(92*x^2+16*x+1)^(1/2)) revogf] A015576 21.5247 [-x/(7*x^2+8*x-1) ogf] A015576 26.6395 [-2*(4+7*x)/(7*x^2-1+8*x) lgdogf] A015576 9.83227 [{-a(n+2)+8*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015577 12.3642 [-9*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A015577 18.9530 [1/18/x*(-8*x-1+(100*x^2+16*x+1)^(1/2)) revogf] A015577 19.7158 [-x/(x+1)/(9*x-1) ogf] A015577 30.0088 [-2*(4+9*x)/(x+1)/(9*x-1) lgdogf] A015577 9.00599 [{-a(n+2)+8*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A015578 13.4826 [-11*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A015578 16.9852 [1/22/x*(-8*x-1+(108*x^2+16*x+1)^(1/2)) revogf] A015578 21.2883 [-x/(11*x^2+8*x-1) ogf] A015578 24.8245 [-2*(4+11*x)/(11*x^2-1+8*x) lgdogf] A015578 9.86532 [{-a(n+2)+8*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015579 12.3642 [-2*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015579 19.7158 [-x/(2*x^2+9*x-1) ogf] A015579 20.0059 [1/4/x*(-1-9*x+(1+18*x+89*x^2)^(1/2)) revogf] A015579 32.7369 [-(9+4*x)/(2*x^2-1+9*x) lgdogf] A015579 9.00599 [{-a(n+2)+9*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A015580 12.3642 [-4*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015580 19.7158 [-x/(4*x^2+9*x-1) ogf] A015580 20.0059 [1/8/x*(-1-9*x+(1+18*x+97*x^2)^(1/2)) revogf] A015580 32.7369 [-(9+8*x)/(4*x^2-1+9*x) lgdogf] A015580 9.00599 [{-a(n+2)+9*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A015581 12.3642 [-5*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015581 18.9530 [1/10/x*(-1-9*x+(1+18*x+101*x^2)^(1/2)) revogf] A015581 19.7158 [-x/(5*x^2+9*x-1) ogf] A015581 31.3136 [-(9+10*x)/(5*x^2-1+9*x) lgdogf] A015581 9.00599 [{-a(n+2)+9*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015583 12.3642 [-7*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015583 18.9530 [1/14/x*(-1-9*x+(1+18*x+109*x^2)^(1/2)) revogf] A015583 19.7158 [-x/(7*x^2+9*x-1) ogf] A015583 31.3136 [-(9+14*x)/(7*x^2-1+9*x) lgdogf] A015583 9.00599 [{-a(n+2)+9*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015584 12.3642 [-8*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015584 18.9530 [1/16/x*(-1-9*x+(1+18*x+113*x^2)^(1/2)) revogf] A015584 19.7158 [-x/(8*x^2+9*x-1) ogf] A015584 31.3136 [-(9+16*x)/(8*x^2-1+9*x) lgdogf] A015584 9.00599 [{-a(n+2)+9*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A015585 12.1581 [-10*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015585 18.9530 [1/20/x*(-1-9*x+(1+18*x+121*x^2)^(1/2)) revogf] A015585 19.1970 [-x/(x+1)/(10*x-1) ogf] A015585 30.0088 [-(9+20*x)/(x+1)/(10*x-1) lgdogf] A015585 8.89616 [{-a(n+2)+9*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A015587 12.6218 [-11*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A015587 17.6262 [1/22/x*(-1-9*x+(1+18*x+125*x^2)^(1/2)) revogf] A015587 19.9291 [-x/(11*x^2+9*x-1) ogf] A015587 27.9081 [-(9+22*x)/(11*x^2-1+9*x) lgdogf] A015587 9.23543 [{-a(n+2)+9*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015588 11.8736 [-3*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A015588 18.5075 [1/6/x*(-1-10*x+(1+20*x+112*x^2)^(1/2)) revogf] A015588 18.7478 [-x/(3*x^2+10*x-1) ogf] A015588 28.1314 [-2*(3*x+5)/(3*x^2-1+10*x) lgdogf] A015588 8.68802 [{-a(n+2)+10*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015589 11.8736 [-7*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A015589 18.0329 [1/14/x*(-1-10*x+(1+20*x+128*x^2)^(1/2)) revogf] A015589 18.7478 [-x/(7*x^2+10*x-1) ogf] A015589 28.1314 [-2*(5+7*x)/(7*x^2-1+10*x) lgdogf] A015589 8.68802 [{-a(n+2)+10*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015591 11.8736 [-9*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A015591 18.0329 [1/18/x*(-1-10*x+(1+20*x+136*x^2)^(1/2)) revogf] A015591 18.7478 [-x/(9*x^2+10*x-1) ogf] A015591 28.1314 [-2*(5+9*x)/(9*x^2-1+10*x) lgdogf] A015591 8.68802 [{-a(n+2)+10*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A015592 12.6732 [1/22/x*(-1-10*x+(1+20*x+144*x^2)^(1/2)) revogf] A015592 12.8955 [-x/(x+1)/(11*x-1) ogf] A015592 19.0097 [-2*(5+11*x)/(x+1)/(11*x-1) lgdogf] A015592 6.05933 [{-a(n+2)+10*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015592 8.24467 [-11*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A015593 10.6348 [-2*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015593 16.5554 [1/4/x*(-1-11*x+(1+22*x+129*x^2)^(1/2)) revogf] A015593 16.7918 [-x/(2*x^2+11*x-1) ogf] A015593 26.2126 [-(11+4*x)/(2*x^2-1+11*x) lgdogf] A015593 7.78159 [{-a(n+2)+11*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A015594 10.6348 [-3*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015594 16.5554 [1/6/x*(-1-11*x+(1+22*x+133*x^2)^(1/2)) revogf] A015594 16.7918 [-x/(3*x^2+11*x-1) ogf] A015594 26.2126 [-(11+6*x)/(3*x^2-1+11*x) lgdogf] A015594 7.78159 [{-a(n+2)+11*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A015596 10.6348 [-4*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015596 16.5554 [1/8/x*(-1-11*x+(1+22*x+137*x^2)^(1/2)) revogf] A015596 16.7918 [-x/(4*x^2+11*x-1) ogf] A015596 26.2126 [-(11+8*x)/(4*x^2-1+11*x) lgdogf] A015596 7.78159 [{-a(n+2)+11*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A015597 10.6848 [-5*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015597 16.2077 [1/10/x*(-1-11*x+(1+22*x+141*x^2)^(1/2)) revogf] A015597 16.8707 [-x/(5*x^2+11*x-1) ogf] A015597 25.2840 [-(11+10*x)/(5*x^2-1+11*x) lgdogf] A015597 7.81812 [{-a(n+2)+11*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015598 10.7347 [-6*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015598 16.2845 [1/12/x*(-1-11*x+(1+22*x+145*x^2)^(1/2)) revogf] A015598 16.9495 [-x/(6*x^2+11*x-1) ogf] A015598 25.4038 [-(11+12*x)/(6*x^2-1+11*x) lgdogf] A015598 7.85466 [{-a(n+2)+11*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A015601 10.7846 [-7*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015601 16.3613 [1/14/x*(-1-11*x+(1+22*x+149*x^2)^(1/2)) revogf] A015601 17.0284 [-x/(7*x^2+11*x-1) ogf] A015601 25.5236 [-(11+14*x)/(7*x^2-1+11*x) lgdogf] A015601 7.89120 [{-a(n+2)+11*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015602 10.7846 [-8*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015602 16.3613 [1/16/x*(-1-11*x+(1+22*x+153*x^2)^(1/2)) revogf] A015602 17.0284 [-x/(8*x^2+11*x-1) ogf] A015602 25.5236 [-(11+16*x)/(8*x^2-1+11*x) lgdogf] A015602 7.89120 [{-a(n+2)+11*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A015603 10.8346 [-9*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015603 16.4381 [1/18/x*(-1-11*x+(1+22*x+157*x^2)^(1/2)) revogf] A015603 17.1072 [-x/(9*x^2+11*x-1) ogf] A015603 25.6434 [-(11+18*x)/(9*x^2-1+11*x) lgdogf] A015603 7.92772 [{-a(n+2)+11*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A015606 10.6569 [-10*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015606 16.4381 [1/20/x*(-1-11*x+(1+22*x+161*x^2)^(1/2)) revogf] A015606 16.6685 [-x/(10*x^2+11*x-1) ogf] A015606 24.6572 [-(11+20*x)/(10*x^2-1+11*x) lgdogf] A015606 7.83220 [{-a(n+2)+11*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A015609 12.8955 [1/24/x*(-1-11*x+(1+22*x+169*x^2)^(1/2)) revogf] A015609 13.1178 [-x/(x+1)/(12*x-1) ogf] A015609 20.1170 [-(11+24*x)/(x+1)/(12*x-1) lgdogf] A015609 6.16380 [{-a(n+2)+11*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A015609 8.38682 [-12*f(x)*x^2-11*f(x)*x+f(x)-x ogf] A015610 11.0343 [-5*f(x)*x^2-12*f(x)*x+f(x)-x ogf] A015610 16.7454 [1/10/x*(-1-12*x+(1+24*x+164*x^2)^(1/2)) revogf] A015610 17.4225 [-x/(5*x^2+12*x-1) ogf] A015610 8.07385 [{-a(n+2)+12*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A015611 11.0343 [-7*f(x)*x^2-12*f(x)*x+f(x)-x ogf] A015611 16.7454 [1/14/x*(-1-12*x+(1+24*x+172*x^2)^(1/2)) revogf] A015611 17.4225 [-x/(7*x^2+12*x-1) ogf] A015611 8.07385 [{-a(n+2)+12*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A015612 10.9025 [-11*f(x)*x^2-12*f(x)*x+f(x)-x ogf] A015612 16.8222 [1/22/x*(-1-12*x+(1+24*x+188*x^2)^(1/2)) revogf] A015612 17.0526 [-x/(11*x^2+12*x-1) ogf] A015612 24.2987 [-2*(6+11*x)/(11*x^2-1+12*x) lgdogf] A015612 8.01267 [{-a(n+2)+12*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A015735 6.85331 [9-3*x+(-12+36*x)*f(x)+(6-36*x+54*x^2)*f(x)^2+(-1-27*x^2+27*x^3+9*x)*f(x)^3 lgdegf] A015737 10.5299 [-(-x^7+x^5+x^4-x^2+1)/(x^2-1) ogf_with_Euler_transform] A015739 11.6604 [-(x^9-x^7-x^5+x^3-1)/(-x^2+1) ogf_with_Euler_transform] A015740 9.98244 [-(-x^11+x^9+x^6-x^4+1)/(x^2-1) ogf_with_Euler_transform] A015741 9.67408 [-(x^13-x^11-x^7+x^5-1)/(-x^2+1) ogf_with_Euler_transform] A015744 14.7536 [-(x^5-2*x^3+x-1)/(-x^2+1) ogf_with_Euler_transform] A015745 12.0177 [-(-x^7+x^5+x^4-x^2+1)/(x^2-1) ogf_with_Euler_transform] A015746 12.0177 [-(x^9-x^7-x^5+x^3-1)/(-x^2+1) ogf_with_Euler_transform] A015750 11.9035 [-(-x^11+x^9+x^6-x^4+1)/(x^2-1) ogf_with_Euler_transform] A015753 11.7926 [-(-x^13+x^11+x^7-x^5+1)/(x^2-1) ogf_with_Euler_transform] A015754 11.9060 [-(x^15-x^13-x^8+x^6-1)/(-x^2+1) ogf_with_Euler_transform] A015755 11.9060 [-(-x^17+x^15+x^9-x^7+1)/(x^2-1) ogf_with_Euler_transform] A015968 6.92986 [-(113*f(x)*x-f(x)-111*x+1)^2 ogf] A015968 7.63796 [2/(113*x-1)/(111*x-1) lgdogf] A016028 12.1822 [-(x^4-x+1)/(x-1)^3 ogf] A016028 6.46187 [-(f(x)+8)*(f(x)*x^3+x^4-3*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A016029 10.3583 [-(x^2-x+1)/(2*x-1)/(x^2+1) ogf] A016029 12.8775 [-(1-4*x^3+2*x^4+5*x^2)/(2*x-1)/(x^2+1)/(x^2-x+1) lgdogf] A016029 5.49438 [-(7*f(x)-3)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1) ogf] A016029 5.64155 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A016036 7.40412 [(-16*n-28)*a(n+1)+(8*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=4,a(1)=15,a(2)=117/2 lgdegf] A016051 12.7517 [3*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A016051 19.0474 [-(2+6*x+3*x^2+x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A016051 30.9683 [-x^2+x+2 ogf_with_Euler_transform] A016051 6.88364 [(5*f(x)+129)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-3*x-3) ogf] A016051 6.88364 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=6,a(2)=12} ogf] A016061 11.3504 [x*(x+3)/(x-1)^4 ogf] A016061 33.0322 [-(13+3*x)/(x+3)/(-1+x) lgdogf] A016061 4.88593 [{(6+3*n)*a(n+3)+(-15-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=3,a(2)=13} ogf] A016061 5.46501 [(177920*f(x)+347363)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-3*x) ogf] A016064 12.2846 [-(3*x^2-2*x+1)/(x-1)/(x^2-4*x+1) ogf] A016064 12.6954 [-(3-4*x+3*x^4-4*x^3-2*x^2)/(x-1)/(x^2-4*x+1)/(3*x^2-2*x+1) lgdogf] A016064 6.63153 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A016064 7.23907 [(15*f(x)-7)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A016065 3.00894 [{(n^2+7*n+12)*a(n+1)+(-n^2-7*n-13)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=15} ogf] A016073 5.61848 [[4-x] ogf_with_Euler_transform] A016075 12.1331 [1/(9*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A016075 4.29098 [(16176899528412421769*f(x)+14886496664443008000)*(7920*f(x)*x^4-3382*f(x)*x^3+539*f(x)*x^2-38*f(x)*x+f(x)-1) ogf] A016075 7.01302 [-2*(-19+539*x+15840*x^3-5073*x^2)/(9*x-1)/(10*x-1)/(11*x-1)/(-1+8*x) lgdogf] A016084 8.96021 [(2*x^4+6*x^3-4*x^2+5)/(x^2-x+1)/(x+1)/(x-1)^2 ogf] A016084 9.08639 [-(10-8*x+2*x^7+3*x^2+27*x^3-12*x^5+14*x^6)/(x-1)/(x+1)/(x^2-x+1)/(2*x^4+6*x^3-4*x^2+5) lgdogf] A016091 3.22861 [(14287135616611*f(x)+12638068416000)*(8640*f(x)*x^4-3624*f(x)*x^3+566*f(x)*x^2-39*f(x)*x+f(x)-1) ogf] A016091 7.05380 [-(-39+1132*x+34560*x^3-10872*x^2)/(12*x-1)/(9*x-1)/(-1+8*x)/(10*x-1) lgdogf] A016091 8.46117 [1/(12*x-1)/(9*x-1)/(8*x-1)/(10*x-1) ogf] A016092 3.24069 [(623824822903277*f(x)+537511574274048)*(9504*f(x)*x^4-3900*f(x)*x^3+595*f(x)*x^2-40*f(x)*x+f(x)-1) ogf] A016092 7.17612 [-2*(-20+595*x+19008*x^3-5850*x^2)/(11*x-1)/(-1+8*x)/(12*x-1)/(9*x-1) lgdogf] A016092 8.60459 [1/(11*x-1)/(8*x-1)/(12*x-1)/(9*x-1) ogf] A016093 3.17365 [(92011229256712523*f(x)+79552831862592000)*(10560*f(x)*x^4-4216*f(x)*x^3+626*f(x)*x^2-41*f(x)*x+f(x)-1) ogf] A016093 7.15248 [-(-41+1252*x+42240*x^3-12648*x^2)/(-1+12*x)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A016093 8.55273 [1/(12*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A016094 3.13423 [(165359700956169001*f(x)+154524778360128000)*(11880*f(x)*x^4-4578*f(x)*x^3+659*f(x)*x^2-42*f(x)*x+f(x)-1) ogf] A016094 7.15248 [-2*(-21+659*x+23760*x^3-6867*x^2)/(9*x-1)/(-1+12*x)/(10*x-1)/(11*x-1) lgdogf] A016094 8.55273 [1/(9*x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A016103 12.0454 [-(15-148*x+360*x^2)/(6*x-1)/(-1+4*x)/(5*x-1) lgdogf] A016103 13.2141 [-1/(6*x-1)/(4*x-1)/(5*x-1) ogf] A016103 4.55275 [{a(n+3)-15*a(n+2)+74*a(n+1)-120*a(n),a(0)=1,a(1)=15,a(2)=151} ogf] A016103 4.7111 [(6418657*f(x)-5772600)*(120*f(x)*x^3-74*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016109 2.89239 [(1732958784897775919*f(x)+1561112281943424000)*(5040*f(x)*x^4-2414*f(x)*x^3+431*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A016109 6.93148 [-2*(-17+431*x+10080*x^3-3621*x^2)/(9*x-1)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A016109 8.07876 [1/(9*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A016111 5.20547 [-(65-3370*x+1801800*x^4-561096*x^3+65325*x^2)/(13*x-1)/(15*x-1)/(12*x-1)/(14*x-1)/(11*x-1) lgdogf] A016111 6.75106 [-1/(13*x-1)/(15*x-1)/(12*x-1)/(14*x-1)/(11*x-1) ogf] A016116 11.3959 [(6*f(x)-5)*(2*f(x)*x^2-f(x)+x+1) ogf] A016116 11.9301 [{-a(n+2)+2*a(n),a(0)=1,a(1)=1} ogf] A016116 17.4065 [1/2*2^(1/2)*(-ln(1+2^(1/2))+arcsinh(1+2*x)) revegf] A016116 18.6225 [-(x+1)/(2*x^2-1) ogf] A016116 24.9493 [-(1+4*x+2*x^2)/(1+x)/(2*x^2-1) lgdogf] A016123 13.5847 [-1/22*(-1-12*x+(1+24*x+100*x^2)^(1/2))/x revogf] A016123 15.8557 [1/(11*x-1)/(x-1) ogf] A016123 20.1255 [-2*(-6+11*x)/(11*x-1)/(x-1) lgdogf] A016123 6.52884 [(61*f(x)+11)*(11*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A016123 6.52884 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=1,a(1)=12} ogf] A016125 12.2536 [-1/24*(-1-13*x+(1+26*x+121*x^2)^(1/2))/x revogf] A016125 14.3279 [1/(12*x-1)/(x-1) ogf] A016125 18.8517 [-(-13+24*x)/(12*x-1)/(x-1) lgdogf] A016125 5.83115 [(145*f(x)+24)*(12*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A016125 5.89974 [{-a(n+2)+13*a(n+1)-12*a(n),a(0)=1,a(1)=13} ogf] A016127 13.5213 [-1/20*(-1-7*x+(1+14*x+9*x^2)^(1/2))/x revogf] A016127 15.0668 [1/(5*x-1)/(2*x-1) ogf] A016127 18.5291 [-(-7+20*x)/(-1+5*x)/(2*x-1) lgdogf] A016127 6.09846 [(29*f(x)+20)*(10*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A016127 6.17193 [{-a(n+2)+7*a(n+1)-10*a(n),a(0)=1,a(1)=7} ogf] A016129 14.1903 [-1/24*(-1-8*x+(1+16*x+16*x^2)^(1/2))/x revogf] A016129 16.2122 [1/(6*x-1)/(2*x-1) ogf] A016129 19.9715 [-8*(-1+3*x)/(6*x-1)/(2*x-1) lgdogf] A016129 6.40947 [(121*f(x)+135)*(12*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A016129 6.64113 [{-a(n+2)+8*a(n+1)-12*a(n),a(0)=1,a(1)=8} ogf] A016130 13.4824 [-1/28*(-1-9*x+(1+18*x+25*x^2)^(1/2))/x revogf] A016130 15.4150 [1/(7*x-1)/(2*x-1) ogf] A016130 19.7051 [-(-9+28*x)/(7*x-1)/(2*x-1) lgdogf] A016130 6.23941 [(53*f(x)+28)*(14*f(x)*x^2-9*f(x)*x+f(x)-1) ogf] A016130 6.31458 [{-a(n+2)+9*a(n+1)-14*a(n),a(0)=1,a(1)=9} ogf] A016131 13.2203 [-1/32*(-1-10*x+(2*x+1)^(1/2)*(1+18*x)^(1/2))/x revogf] A016131 17.7176 [1/(8*x-1)/(2*x-1) ogf] A016131 20.9701 [-2*(-5+16*x)/(-1+8*x)/(2*x-1) lgdogf] A016131 7.12778 [(341*f(x)+284)*(16*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A016131 7.29548 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=1,a(1)=10} ogf] A016133 14.4957 [-1/36*(-1-11*x+(1+22*x+49*x^2)^(1/2))/x revogf] A016133 16.4889 [1/(9*x-1)/(2*x-1) ogf] A016133 20.9382 [-(-11+36*x)/(9*x-1)/(2*x-1) lgdogf] A016133 6.78953 [{-a(n+2)+11*a(n+1)-18*a(n),a(0)=1,a(1)=11} ogf] A016133 8.48884 [(85*f(x)+36)*(18*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A016134 13.9331 [-1/40*(-1-12*x+(1+24*x+64*x^2)^(1/2))/x revogf] A016134 15.8557 [1/(10*x-1)/(2*x-1) ogf] A016134 18.1130 [-4*(-3+10*x)/(10*x-1)/(-1+2*x) lgdogf] A016134 6.37875 [(781*f(x)+515)*(20*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A016134 6.52884 [{-a(n+2)+12*a(n+1)-20*a(n),a(0)=1,a(1)=12} ogf] A016135 13.9331 [-1/44*(-1-13*x+(1+26*x+81*x^2)^(1/2))/x revogf] A016135 15.8557 [1/(11*x-1)/(2*x-1) ogf] A016135 18.7376 [-(-13+44*x)/(11*x-1)/(-1+2*x) lgdogf] A016135 6.52884 [{-a(n+2)+13*a(n+1)-22*a(n),a(0)=1,a(1)=13} ogf] A016135 8.11634 [(125*f(x)+44)*(22*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A016136 12.3245 [-1/48*(-1-14*x+(1+28*x+100*x^2)^(1/2))/x revogf] A016136 14.4089 [1/(12*x-1)/(2*x-1) ogf] A016136 16.9993 [-2*(-7+24*x)/(12*x-1)/(2*x-1) lgdogf] A016136 5.93307 [{-a(n+2)+14*a(n+1)-24*a(n),a(0)=1,a(1)=14} ogf] A016136 5.93308 [(37*f(x)+12)*(24*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A016137 14.7358 [-1/36*(-1-9*x+(1+18*x+9*x^2)^(1/2))/x revogf] A016137 16.3884 [1/(6*x-1)/(3*x-1) ogf] A016137 20.1934 [-9*(-1+4*x)/(6*x-1)/(3*x-1) lgdogf] A016137 6.63341 [(31*f(x)+50)*(18*f(x)*x^2-9*f(x)*x+f(x)-1) ogf] A016137 6.71333 [{-a(n+2)+9*a(n+1)-18*a(n),a(0)=1,a(1)=9} ogf] A016138 13.3632 [-1/42*(-1-10*x+(1+20*x+16*x^2)^(1/2))/x revogf] A016138 15.2270 [1/(7*x-1)/(3*x-1) ogf] A016138 6.26992 [(29*f(x)+21)*(21*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A016138 6.26993 [{-a(n+2)+10*a(n+1)-21*a(n),a(0)=1,a(1)=10} ogf] A016140 13.9672 [-1/48*(-1-11*x+(1+22*x+25*x^2)^(1/2))/x revogf] A016140 15.9000 [1/(8*x-1)/(3*x-1) ogf] A016140 6.54705 [(73*f(x)+48)*(24*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A016140 6.54705 [{-a(n+2)+11*a(n+1)-24*a(n),a(0)=1,a(1)=11} ogf] A016142 14.5712 [-1/54*(-1-12*x+(1+24*x+36*x^2)^(1/2))/x revogf] A016142 16.5730 [1/(9*x-1)/(3*x-1) ogf] A016142 21.0473 [-6*(-2+9*x)/(9*x-1)/(3*x-1) lgdogf] A016142 6.82418 [{-a(n+2)+12*a(n+1)-27*a(n),a(0)=1,a(1)=12} ogf] A016142 6.98861 [(5*f(x)+3)*(27*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A016145 13.9331 [-1/60*(-1-13*x+(1+26*x+49*x^2)^(1/2))/x revogf] A016145 15.8557 [1/(10*x-1)/(3*x-1) ogf] A016145 19.4068 [-(-13+60*x)/(10*x-1)/(3*x-1) lgdogf] A016145 6.45292 [(109*f(x)+60)*(30*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A016145 6.52884 [{-a(n+2)+13*a(n+1)-30*a(n),a(0)=1,a(1)=13} ogf] A016146 13.9331 [-1/66*(-1-14*x+(1+28*x+64*x^2)^(1/2))/x revogf] A016146 15.8557 [1/(11*x-1)/(3*x-1) ogf] A016146 18.7376 [-2*(-7+33*x)/(11*x-1)/(3*x-1) lgdogf] A016146 6.52884 [(65*f(x)+33)*(33*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A016146 6.52884 [{-a(n+2)+14*a(n+1)-33*a(n),a(0)=1,a(1)=14} ogf] A016147 10.7169 [-1/72*(-1-15*x+(1+27*x)^(1/2)*(1+3*x)^(1/2))/x revogf] A016147 14.4089 [1/(12*x-1)/(3*x-1) ogf] A016147 16.9993 [-3*(-5+24*x)/(12*x-1)/(3*x-1) lgdogf] A016147 5.93307 [{-a(n+2)+15*a(n+1)-36*a(n),a(0)=1,a(1)=15} ogf] A016147 8.5949 [(17*f(x)+8)*(36*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A016149 13.0950 [-1/48*(-1-10*x+(1+20*x+4*x^2)^(1/2))/x revogf] A016149 14.5539 [1/(6*x-1)/(4*x-1) ogf] A016149 17.7718 [-2*(-5+24*x)/(6*x-1)/(4*x-1) lgdogf] A016149 5.9928 [(13*f(x)+12)*(24*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A016149 5.99280 [{-a(n+2)+10*a(n+1)-24*a(n),a(0)=1,a(1)=10} ogf] A016150 13.7924 [-1/56*(-1-11*x+(1+22*x+9*x^2)^(1/2))/x revogf] A016150 15.3111 [1/(7*x-1)/(4*x-1) ogf] A016150 19.4115 [-(-11+56*x)/(7*x-1)/(4*x-1) lgdogf] A016150 6.30456 [(65*f(x)+56)*(28*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A016150 6.30456 [{-a(n+2)+11*a(n+1)-28*a(n),a(0)=1,a(1)=11} ogf] A016152 14.5178 [-1/64*(-1-12*x+(1+24*x+16*x^2)^(1/2))/x revogf] A016152 16.4337 [x/(8*x-1)/(4*x-1) ogf] A016152 19.5239 [-4*(-3+16*x)/(8*x-1)/(-1+4*x) lgdogf] A016152 6.92988 [{a(n+2)-12*a(n+1)+32*a(n),a(0)=0,a(1)=1} ogf] A016152 9.42919 [-32*f(x)*x^2+12*f(x)*x-f(x)+x ogf] A016153 13.4127 [-1/72*(-1-13*x+(1+x)^(1/2)*(1+25*x)^(1/2))/x revogf] A016153 17.1185 [x/(9*x-1)/(4*x-1) ogf] A016153 21.8577 [-(-13+72*x)/(9*x-1)/(4*x-1) lgdogf] A016153 7.21863 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=0,a(1)=1} ogf] A016153 9.82207 [-36*f(x)*x^2+13*f(x)*x-f(x)+x ogf] A016157 13.9331 [-1/80*(-1-14*x+(1+28*x+36*x^2)^(1/2))/x revogf] A016157 15.8557 [1/(10*x-1)/(4*x-1) ogf] A016157 18.1130 [-2*(-7+40*x)/(10*x-1)/(-1+4*x) lgdogf] A016157 6.52884 [(29*f(x)+20)*(40*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A016157 6.52884 [{-a(n+2)+14*a(n+1)-40*a(n),a(0)=1,a(1)=14} ogf] A016158 13.9331 [-1/88*(-1-15*x+(1+30*x+49*x^2)^(1/2))/x revogf] A016158 15.8557 [1/(11*x-1)/(4*x-1) ogf] A016158 18.7376 [-(-15+88*x)/(11*x-1)/(-1+4*x) lgdogf] A016158 6.45292 [(137*f(x)+88)*(44*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A016158 6.52884 [{-a(n+2)+15*a(n+1)-44*a(n),a(0)=1,a(1)=15} ogf] A016159 12.7131 [-1/96*(-1-16*x+(1+32*x+64*x^2)^(1/2))/x revogf] A016159 14.4899 [1/(12*x-1)/(4*x-1) ogf] A016159 17.7076 [-16*(6*x-1)/(12*x-1)/(4*x-1) lgdogf] A016159 5.82925 [(121*f(x)+135)*(48*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A016159 5.96641 [{-a(n+2)+16*a(n+1)-48*a(n),a(0)=1,a(1)=16} ogf] A016160 2.31928 [-30*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A016160 4.04217 [x/(6*x-1)/(5*x-1) ogf] A016161 14.0248 [-1/70*(-1-12*x+(1+24*x+4*x^2)^(1/2))/x revogf] A016161 15.5635 [1/(7*x-1)/(5*x-1) ogf] A016161 19.0337 [-2*(-6+35*x)/(7*x-1)/(5*x-1) lgdogf] A016161 6.40848 [(37*f(x)+35)*(35*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A016161 6.40848 [{-a(n+2)+12*a(n+1)-35*a(n),a(0)=1,a(1)=12} ogf] A016162 14.6447 [-1/80*(-1-13*x+(1+26*x+9*x^2)^(1/2))/x revogf] A016162 16.2365 [1/(8*x-1)/(5*x-1) ogf] A016162 20.6111 [-(-13+80*x)/(8*x-1)/(5*x-1) lgdogf] A016162 6.68561 [(89*f(x)+80)*(40*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A016162 6.68561 [{-a(n+2)+13*a(n+1)-40*a(n),a(0)=1,a(1)=13} ogf] A016163 14.8732 [-1/90*(-1-14*x+(1+28*x+16*x^2)^(1/2))/x revogf] A016163 16.9095 [1/(9*x-1)/(5*x-1) ogf] A016163 20.7162 [-2*(-7+45*x)/(9*x-1)/(5*x-1) lgdogf] A016163 6.96273 [(53*f(x)+45)*(45*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A016163 6.96273 [{-a(n+2)+14*a(n+1)-45*a(n),a(0)=1,a(1)=14} ogf] A016164 13.5847 [-1/100*(-1-15*x+(1+30*x+25*x^2)^(1/2))/x revogf] A016164 15.8557 [1/(10*x-1)/(5*x-1) ogf] A016164 18.7376 [-5*(-3+20*x)/(10*x-1)/(5*x-1) lgdogf] A016164 6.52884 [{-a(n+2)+15*a(n+1)-50*a(n),a(0)=1,a(1)=15} ogf] A016164 6.68616 [(5*f(x)+4)*(50*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A016165 13.5847 [-1/110*(-1-16*x+(1+32*x+36*x^2)^(1/2))/x revogf] A016165 15.8557 [1/(11*x-1)/(5*x-1) ogf] A016165 18.7376 [-2*(-8+55*x)/(11*x-1)/(5*x-1) lgdogf] A016165 6.52884 [(73*f(x)+55)*(55*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A016165 6.52884 [{-a(n+2)+16*a(n+1)-55*a(n),a(0)=1,a(1)=16} ogf] A016166 12.4661 [-1/120*(-1-17*x+(1+34*x+49*x^2)^(1/2))/x revogf] A016166 17.1947 [-(-17+120*x)/(12*x-1)/(5*x-1) lgdogf] A016166 20.7989 [1/(12*x-1)/(5*x-1) ogf] A016166 8.36739 [(169*f(x)+120)*(60*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A016166 8.56426 [{-a(n+2)+17*a(n+1)-60*a(n),a(0)=1,a(1)=17} ogf] A016169 15.6444 [-1/84*(-1-13*x+(1+26*x+x^2)^(1/2))/x revogf] A016169 16.3481 [x/(7*x-1)/(6*x-1) ogf] A016169 20.8592 [-(-13+84*x)/(7*x-1)/(6*x-1) lgdogf] A016169 6.89378 [{a(n+2)-13*a(n+1)+42*a(n),a(0)=0,a(1)=1} ogf] A016169 9.38008 [-42*f(x)*x^2+13*f(x)*x-f(x)+x ogf] A016170 14.9547 [-1/96*(-1-14*x+(1+28*x+4*x^2)^(1/2))/x revogf] A016170 16.5730 [1/(8*x-1)/(6*x-1) ogf] A016170 19.5958 [-2*(-7+48*x)/(-1+8*x)/(6*x-1) lgdogf] A016170 6.59153 [(781*f(x)+1620)*(48*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A016170 6.82418 [{-a(n+2)+14*a(n+1)-48*a(n),a(0)=1,a(1)=14} ogf] A016172 13.4143 [-1/108*(-1-15*x+(1+30*x+9*x^2)^(1/2))/x revogf] A016172 15.2777 [1/(9*x-1)/(6*x-1) ogf] A016172 18.6842 [-3*(-5+36*x)/(9*x-1)/(6*x-1) lgdogf] A016172 6.29080 [{-a(n+2)+15*a(n+1)-54*a(n),a(0)=1,a(1)=15} ogf] A016172 6.29081 [(13*f(x)+12)*(54*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A016173 13.5847 [-1/120*(-1-16*x+(1+32*x+16*x^2)^(1/2))/x revogf] A016173 15.8557 [1/(10*x-1)/(6*x-1) ogf] A016173 18.7376 [-8*(-2+15*x)/(10*x-1)/(6*x-1) lgdogf] A016173 6.52884 [(17*f(x)+15)*(60*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A016173 6.52884 [{-a(n+2)+16*a(n+1)-60*a(n),a(0)=1,a(1)=16} ogf] A016174 13.7293 [-1/132*(-1-17*x+(1+34*x+25*x^2)^(1/2))/x revogf] A016174 16.0209 [1/(11*x-1)/(6*x-1) ogf] A016174 18.9369 [-(-17+132*x)/(11*x-1)/(6*x-1) lgdogf] A016174 6.4452 [(157*f(x)+132)*(66*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A016174 6.59685 [{-a(n+2)+17*a(n+1)-66*a(n),a(0)=1,a(1)=17} ogf] A016175 12.5370 [-1/144*(-1-18*x+(1+36*x+36*x^2)^(1/2))/x revogf] A016175 14.6517 [1/(12*x-1)/(6*x-1) ogf] A016175 6.03307 [{-a(n+2)+18*a(n+1)-72*a(n),a(0)=1,a(1)=18} ogf] A016175 6.03308 [(31*f(x)+50)*(72*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A016177 12.2628 [-56*f(x)*x^2+15*f(x)*x-f(x)+x ogf] A016177 16.1122 [-1/112*(-1-15*x+(1+30*x+x^2)^(1/2))/x revogf] A016177 17.2896 [x/(8*x-1)/(7*x-1) ogf] A016177 21.2911 [-(-15+112*x)/(8*x-1)/(7*x-1) lgdogf] A016177 7.29081 [{a(n+2)-15*a(n+1)+56*a(n),a(0)=0,a(1)=1} ogf] A016178 13.7107 [-1/126*(-1-16*x+(1+32*x+4*x^2)^(1/2))/x revogf] A016178 15.6080 [1/(9*x-1)/(7*x-1) ogf] A016178 6.42682 [{-a(n+2)+16*a(n+1)-63*a(n),a(0)=1,a(1)=16} ogf] A016178 6.42683 [(65*f(x)+63)*(63*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A016181 13.9331 [-1/140*(-1-17*x+(1+34*x+9*x^2)^(1/2))/x revogf] A016181 15.8557 [1/(10*x-1)/(7*x-1) ogf] A016181 18.7376 [-(-17+140*x)/(10*x-1)/(7*x-1) lgdogf] A016181 6.37875 [(149*f(x)+140)*(70*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A016181 6.52884 [{-a(n+2)+17*a(n+1)-70*a(n),a(0)=1,a(1)=17} ogf] A016183 12.1828 [-1/154*(-1-18*x+(1+36*x+16*x^2)^(1/2))/x revogf] A016183 14.2470 [1/(11*x-1)/(7*x-1) ogf] A016183 16.8039 [-2*(-9+77*x)/(11*x-1)/(7*x-1) lgdogf] A016183 5.86641 [{-a(n+2)+18*a(n+1)-77*a(n),a(0)=1,a(1)=18} ogf] A016183 5.86642 [(85*f(x)+77)*(77*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A016184 12.6078 [-1/168*(-1-19*x+(1+38*x+25*x^2)^(1/2))/x revogf] A016184 14.7327 [1/(12*x-1)/(7*x-1) ogf] A016184 16.8104 [-(-19+168*x)/(-1+12*x)/(7*x-1) lgdogf] A016184 5.92695 [(193*f(x)+168)*(84*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A016184 6.06640 [{-a(n+2)+19*a(n+1)-84*a(n),a(0)=1,a(1)=19} ogf] A016185 11.679 [-72*f(x)*x^2+17*f(x)*x-f(x)+x ogf] A016185 15.1201 [-1/144*(-1-17*x+(1+34*x+x^2)^(1/2))/x revogf] A016185 16.2365 [x/(9*x-1)/(8*x-1) ogf] A016185 19.9801 [-(-17+144*x)/(9*x-1)/(8*x-1) lgdogf] A016185 6.84671 [{a(n+2)-17*a(n+1)+72*a(n),a(0)=0,a(1)=1} ogf] A016186 13.9331 [-1/160*(-1-18*x+(1+36*x+4*x^2)^(1/2))/x revogf] A016186 15.8557 [1/(10*x-1)/(8*x-1) ogf] A016186 18.1130 [-2*(-9+80*x)/(10*x-1)/(-1+8*x) lgdogf] A016186 6.52884 [(41*f(x)+40)*(80*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A016186 6.52884 [{-a(n+2)+18*a(n+1)-80*a(n),a(0)=1,a(1)=18} ogf] A016187 12.7131 [-1/176*(-1-19*x+(1+38*x+9*x^2)^(1/2))/x revogf] A016187 14.4899 [1/(11*x-1)/(8*x-1) ogf] A016187 16.5271 [-(-19+176*x)/(11*x-1)/(-1+8*x) lgdogf] A016187 5.82925 [(185*f(x)+176)*(88*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A016187 5.96641 [{-a(n+2)+19*a(n+1)-88*a(n),a(0)=1,a(1)=19} ogf] A016188 12.6786 [-1/192*(-1-20*x+(1+40*x+16*x^2)^(1/2))/x revogf] A016188 14.8136 [1/(12*x-1)/(8*x-1) ogf] A016188 16.9048 [-4*(-5+48*x)/(-1+12*x)/(8*x-1) lgdogf] A016188 6.09973 [{-a(n+2)+20*a(n+1)-96*a(n),a(0)=1,a(1)=20} ogf] A016188 6.09974 [(13*f(x)+12)*(96*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A016189 12.9722 [-90*f(x)*x^2+19*f(x)*x-f(x)+x ogf] A016189 15.1201 [-1/180*(-1-19*x+(1+38*x+x^2)^(1/2))/x revogf] A016189 19.2912 [-(-19+180*x)/(10*x-1)/(9*x-1) lgdogf] A016189 22.6087 [x/(10*x-1)/(9*x-1) ogf] A016189 9.53381 [{a(n+2)-19*a(n+1)+90*a(n),a(0)=0,a(1)=1} ogf] A016190 12.8584 [-1/198*(-1-20*x+(1+40*x+4*x^2)^(1/2))/x revogf] A016190 14.6517 [1/(11*x-1)/(9*x-1) ogf] A016190 5.96293 [(101*f(x)+99)*(99*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A016190 6.03307 [{-a(n+2)+20*a(n+1)-99*a(n),a(0)=1,a(1)=20} ogf] A016191 13.0764 [-1/216*(-1-21*x+(1+42*x+9*x^2)^(1/2))/x revogf] A016191 14.4809 [1/(12*x-1)/(9*x-1) ogf] A016191 17.5854 [-3*(-7+72*x)/(12*x-1)/(9*x-1) lgdogf] A016191 6.06176 [(25*f(x)+24)*(108*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A016191 6.06176 [{-a(n+2)+21*a(n+1)-108*a(n),a(0)=1,a(1)=21} ogf] A016195 14.1394 [-1/220*(-1-21*x+(1+42*x+x^2)^(1/2))/x revogf] A016195 14.7730 [x/(11*x-1)/(10*x-1) ogf] A016195 16.8760 [-(-21+220*x)/(11*x-1)/(-1+10*x) lgdogf] A016195 6.33129 [{a(n+2)-21*a(n+1)+110*a(n),a(0)=0,a(1)=1} ogf] A016195 8.57788 [-110*f(x)*x^2+21*f(x)*x-f(x)+x ogf] A016196 13.1490 [-1/240*(-1-22*x+(1+44*x+4*x^2)^(1/2))/x revogf] A016196 14.5596 [1/(12*x-1)/(10*x-1) ogf] A016196 15.5397 [-2*(-11+120*x)/(12*x-1)/(-1+10*x) lgdogf] A016196 6.0947 [(61*f(x)+60)*(120*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A016196 6.09470 [{-a(n+2)+22*a(n+1)-120*a(n),a(0)=1,a(1)=22} ogf] A016197 14.5300 [-1/264*(-1-23*x+(1+46*x+x^2)^(1/2))/x revogf] A016197 15.1744 [x/(12*x-1)/(11*x-1) ogf] A016197 17.3422 [-(-23+264*x)/(-1+12*x)/(11*x-1) lgdogf] A016197 6.50333 [{a(n+2)-23*a(n+1)+132*a(n),a(0)=0,a(1)=1} ogf] A016197 8.81097 [-132*f(x)*x^2+23*f(x)*x-f(x)+x ogf] A016198 18.2157 [-2*(3*x-1)*(5*x-4)/(x-1)/(2*x-1)/(-1+5*x) lgdogf] A016198 19.4757 [-1/(x-1)/(2*x-1)/(5*x-1) ogf] A016198 6.60482 [{a(n+3)-8*a(n+2)+17*a(n+1)-10*a(n),a(0)=1,a(1)=8,a(2)=47} ogf] A016198 6.96839 [(34971*f(x)-10100)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A016200 14.2873 [-1/(x-1)/(6*x-1)/(2*x-1) ogf] A016200 14.3480 [-(9-40*x+36*x^2)/(x-1)/(6*x-1)/(2*x-1) lgdogf] A016200 4.84527 [{a(n+3)-9*a(n+2)+20*a(n+1)-12*a(n),a(0)=1,a(1)=9,a(2)=61} ogf] A016200 5.20753 [(9149*f(x)-2214)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A016201 12.9555 [-2*(5-23*x+21*x^2)/(x-1)/(2*x-1)/(7*x-1) lgdogf] A016201 13.2500 [-1/(x-1)/(2*x-1)/(7*x-1) ogf] A016201 4.52991 [{a(n+3)-10*a(n+2)+23*a(n+1)-14*a(n),a(0)=1,a(1)=10,a(2)=77} ogf] A016201 4.69026 [(1231395*f(x)-256172)*(14*f(x)*x^3-23*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A016203 13.9125 [-1/(x-1)/(8*x-1)/(2*x-1) ogf] A016203 4.75640 [{a(n+3)-11*a(n+2)+26*a(n+1)-16*a(n),a(0)=1,a(1)=11,a(2)=95} ogf] A016203 5.05908 [(73533*f(x)-13408)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A016204 13.8604 [-2*(6-29*x+27*x^2)/(x-1)/(-1+2*x)/(9*x-1) lgdogf] A016204 14.5014 [-1/(x-1)/(2*x-1)/(9*x-1) ogf] A016204 4.91572 [{a(n+3)-12*a(n+2)+29*a(n+1)-18*a(n),a(0)=1,a(1)=12,a(2)=115} ogf] A016204 5.13323 [(4175609*f(x)-677484)*(18*f(x)*x^3-29*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A016205 13.2534 [-(13-64*x+60*x^2)/(x-1)/(-1+2*x)/(10*x-1) lgdogf] A016205 13.8738 [-1/(x-1)/(2*x-1)/(10*x-1) ogf] A016205 4.70297 [{a(n+3)-13*a(n+2)+32*a(n+1)-20*a(n),a(0)=1,a(1)=13,a(2)=137} ogf] A016205 5.0913 [(54579*f(x)-7975)*(20*f(x)*x^3-32*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016206 12.9378 [-2*(7-35*x+33*x^2)/(x-1)/(-1+2*x)/(11*x-1) lgdogf] A016206 13.8738 [-1/(x-1)/(2*x-1)/(11*x-1) ogf] A016206 4.70297 [{a(n+3)-14*a(n+2)+35*a(n+1)-22*a(n),a(0)=1,a(1)=14,a(2)=161} ogf] A016206 4.91107 [(1591593*f(x)-211508)*(22*f(x)*x^3-35*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016207 12.3245 [-(15-76*x+72*x^2)/(x-1)/(2*x-1)/(12*x-1) lgdogf] A016207 12.6078 [-1/(x-1)/(2*x-1)/(12*x-1) ogf] A016207 4.27382 [{a(n+3)-15*a(n+2)+38*a(n+1)-24*a(n),a(0)=1,a(1)=15,a(2)=187} ogf] A016207 4.62672 [(76225*f(x)-9288)*(24*f(x)*x^3-38*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016208 19.5609 [-1/(x-1)/(3*x-1)/(4*x-1) ogf] A016208 6.63370 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=1,a(1)=8,a(2)=45} ogf] A016208 6.87273 [(495859*f(x)-128304)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A016209 13.3656 [-1/(x-1)/(3*x-1)/(5*x-1) ogf] A016209 13.4020 [-(9-46*x+45*x^2)/(x-1)/(3*x-1)/(5*x-1) lgdogf] A016209 4.53267 [{a(n+3)-9*a(n+2)+23*a(n+1)-15*a(n),a(0)=1,a(1)=9,a(2)=58} ogf] A016209 4.65408 [(1420013*f(x)-296325)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A016211 12.3666 [-2*(5-27*x+27*x^2)/(x-1)/(6*x-1)/(3*x-1) lgdogf] A016211 12.6611 [-1/(x-1)/(6*x-1)/(3*x-1) ogf] A016211 4.32858 [{a(n+3)-10*a(n+2)+27*a(n+1)-18*a(n),a(0)=1,a(1)=10,a(2)=73} ogf] A016211 4.77777 [(665*f(x)-116)*(18*f(x)*x^3-27*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A016212 13.3236 [-1/(x-1)/(3*x-1)/(7*x-1) ogf] A016212 4.55508 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=1,a(1)=11,a(2)=90} ogf] A016212 6.45323 [(7132501*f(x)-1067661)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A016214 13.4295 [-2*(9*x-2)*(4*x-3)/(x-1)/(3*x-1)/(-1+8*x) lgdogf] A016214 14.0597 [-1/(x-1)/(3*x-1)/(8*x-1) ogf] A016214 4.76600 [{a(n+3)-12*a(n+2)+35*a(n+1)-24*a(n),a(0)=1,a(1)=12,a(2)=109} ogf] A016214 4.89033 [(13624019*f(x)-1785024)*(24*f(x)*x^3-35*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A016215 16.7322 [-2*(7-43*x+45*x^2)/(x-1)/(3*x-1)/(10*x-1) lgdogf] A016215 17.4501 [-1/(x-1)/(3*x-1)/(10*x-1) ogf] A016215 5.91530 [{a(n+3)-14*a(n+2)+43*a(n+1)-30*a(n),a(0)=1,a(1)=14,a(2)=153} ogf] A016215 6.06961 [(40428583*f(x)-4236300)*(30*f(x)*x^3-43*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016216 17.1506 [-(15-94*x+99*x^2)/(x-1)/(3*x-1)/(11*x-1) lgdogf] A016216 17.4501 [-1/(x-1)/(3*x-1)/(11*x-1) ogf] A016216 5.91530 [{a(n+3)-15*a(n+2)+47*a(n+1)-33*a(n),a(0)=1,a(1)=15,a(2)=178} ogf] A016216 6.06961 [(64462685*f(x)-6138693)*(33*f(x)*x^3-47*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016217 17.3898 [-2*(8-51*x+54*x^2)/(x-1)/(3*x-1)/(12*x-1) lgdogf] A016217 18.1242 [-1/(x-1)/(3*x-1)/(12*x-1) ogf] A016217 6.14379 [{a(n+3)-16*a(n+2)+51*a(n+1)-36*a(n),a(0)=1,a(1)=16,a(2)=205} ogf] A016217 6.53124 [(135499*f(x)-11824)*(36*f(x)*x^3-51*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016218 17.7939 [-2*(5-29*x+30*x^2)/(x-1)/(4*x-1)/(5*x-1) lgdogf] A016218 18.1074 [-1/(x-1)/(4*x-1)/(5*x-1) ogf] A016218 6.19058 [{a(n+3)-10*a(n+2)+29*a(n+1)-20*a(n),a(0)=1,a(1)=10,a(2)=71} ogf] A016218 6.40973 [(5329149*f(x)-849200)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A016222 12.8083 [-1/(x-1)/(6*x-1)/(4*x-1) ogf] A016222 12.8347 [-(11-68*x+72*x^2)/(x-1)/(6*x-1)/(4*x-1) lgdogf] A016222 4.37891 [{a(n+3)-11*a(n+2)+34*a(n+1)-24*a(n),a(0)=1,a(1)=11,a(2)=87} ogf] A016222 4.7003 [(56843*f(x)-7560)*(24*f(x)*x^3-34*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A016223 12.9268 [-6*(2-13*x+14*x^2)/(x-1)/(7*x-1)/(-1+4*x) lgdogf] A016223 18.6235 [-1/(x-1)/(7*x-1)/(4*x-1) ogf] A016223 6.31306 [{a(n+3)-12*a(n+2)+39*a(n+1)-28*a(n),a(0)=1,a(1)=12,a(2)=105} ogf] A016223 6.53457 [(8919613*f(x)-1016848)*(28*f(x)*x^3-39*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A016224 13.5732 [-(13-88*x+96*x^2)/(-1+x)/(8*x-1)/(-1+4*x) lgdogf] A016224 14.2069 [-1/(x-1)/(8*x-1)/(4*x-1) ogf] A016224 4.81591 [{a(n+3)-13*a(n+2)+44*a(n+1)-32*a(n),a(0)=1,a(1)=13,a(2)=125} ogf] A016224 5.21355 [(49911*f(x)-4976)*(32*f(x)*x^3-44*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016225 12.9378 [-3*(5-36*x+40*x^2)/(x-1)/(-1+4*x)/(10*x-1) lgdogf] A016225 13.8738 [-1/(x-1)/(4*x-1)/(10*x-1) ogf] A016225 4.70297 [{a(n+3)-15*a(n+2)+54*a(n+1)-40*a(n),a(0)=1,a(1)=15,a(2)=171} ogf] A016225 4.91107 [(1579669*f(x)-125800)*(40*f(x)*x^3-54*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016226 12.6370 [-2*(6*x-1)*(11*x-8)/(x-1)/(-1+4*x)/(11*x-1) lgdogf] A016226 13.8738 [-1/(x-1)/(4*x-1)/(11*x-1) ogf] A016226 4.70297 [{a(n+3)-16*a(n+2)+59*a(n+1)-44*a(n),a(0)=1,a(1)=16,a(2)=197} ogf] A016226 4.74317 [(241792827*f(x)-17491760)*(44*f(x)*x^3-59*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016227 11.8725 [-(17-128*x+144*x^2)/(x-1)/(12*x-1)/(4*x-1) lgdogf] A016227 12.7494 [-1/(x-1)/(12*x-1)/(4*x-1) ogf] A016227 4.32185 [{a(n+3)-17*a(n+2)+64*a(n+1)-48*a(n),a(0)=1,a(1)=17,a(2)=225} ogf] A016227 4.6787 [(45227*f(x)-2997)*(48*f(x)*x^3-64*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016228 17.6189 [-2*(6-41*x+45*x^2)/(x-1)/(6*x-1)/(5*x-1) lgdogf] A016228 17.9280 [-1/(x-1)/(6*x-1)/(5*x-1) ogf] A016228 6.07730 [{a(n+3)-12*a(n+2)+41*a(n+1)-30*a(n),a(0)=1,a(1)=12,a(2)=103} ogf] A016228 6.23584 [(36441461*f(x)-3890700)*(30*f(x)*x^3-41*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A016230 13.1423 [-(13-94*x+105*x^2)/(x-1)/(-1+7*x)/(5*x-1) lgdogf] A016230 13.7652 [-1/(x-1)/(7*x-1)/(5*x-1) ogf] A016230 4.66619 [{a(n+3)-13*a(n+2)+47*a(n+1)-35*a(n),a(0)=1,a(1)=13,a(2)=122} ogf] A016230 4.78791 [(76580997*f(x)-7003325)*(35*f(x)*x^3-47*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016233 14.0597 [-2*(7-53*x+60*x^2)/(x-1)/(8*x-1)/(5*x-1) lgdogf] A016233 14.3542 [-1/(x-1)/(8*x-1)/(5*x-1) ogf] A016233 4.86581 [{a(n+3)-14*a(n+2)+53*a(n+1)-40*a(n),a(0)=1,a(1)=14,a(2)=143} ogf] A016233 4.9074 [(146264613*f(x)-11691200)*(40*f(x)*x^3-53*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016234 12.6189 [-(15-118*x+135*x^2)/(x-1)/(9*x-1)/(5*x-1) lgdogf] A016234 13.2234 [-1/(x-1)/(9*x-1)/(5*x-1) ogf] A016234 4.48253 [{a(n+3)-15*a(n+2)+59*a(n+1)-45*a(n),a(0)=1,a(1)=15,a(2)=166} ogf] A016234 4.59946 [(37065707*f(x)-2630475)*(45*f(x)*x^3-59*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016237 13.2534 [-2*(8-65*x+75*x^2)/(x-1)/(5*x-1)/(10*x-1) lgdogf] A016237 17.4501 [-1/(x-1)/(5*x-1)/(10*x-1) ogf] A016237 5.91530 [{a(n+3)-16*a(n+2)+65*a(n+1)-50*a(n),a(0)=1,a(1)=16,a(2)=191} ogf] A016237 6.34551 [(138873*f(x)-8860)*(50*f(x)*x^3-65*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016238 12.7042 [-(17-142*x+165*x^2)/(-1+x)/(5*x-1)/(11*x-1) lgdogf] A016238 13.9460 [-1/(x-1)/(5*x-1)/(11*x-1) ogf] A016238 4.72747 [{a(n+3)-17*a(n+2)+71*a(n+1)-55*a(n),a(0)=1,a(1)=17,a(2)=218} ogf] A016238 6.04267 [(691942461*f(x)-40090325)*(55*f(x)*x^3-71*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016239 12.1621 [-2*(9-77*x+90*x^2)/(x-1)/(5*x-1)/(12*x-1) lgdogf] A016239 12.7494 [-1/(x-1)/(5*x-1)/(12*x-1) ogf] A016239 4.32185 [(1060257197*f(x)-56257200)*(60*f(x)*x^3-77*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016239 4.32185 [{a(n+3)-18*a(n+2)+77*a(n+1)-60*a(n),a(0)=1,a(1)=18,a(2)=247} ogf] A016241 17.0493 [-2*(7-55*x+63*x^2)/(x-1)/(6*x-1)/(7*x-1) lgdogf] A016241 17.3538 [-1/(x-1)/(6*x-1)/(7*x-1) ogf] A016241 5.88264 [{a(n+3)-14*a(n+2)+55*a(n+1)-42*a(n),a(0)=1,a(1)=14,a(2)=141} ogf] A016241 5.93292 [(182951971*f(x)-13933836)*(42*f(x)*x^3-55*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016243 13.6706 [-(15-124*x+144*x^2)/(x-1)/(6*x-1)/(-1+8*x) lgdogf] A016243 14.6486 [-1/(x-1)/(6*x-1)/(8*x-1) ogf] A016243 4.96563 [{a(n+3)-15*a(n+2)+62*a(n+1)-48*a(n),a(0)=1,a(1)=15,a(2)=163} ogf] A016243 5.13985 [(10919455*f(x)-726624)*(48*f(x)*x^3-62*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016244 13.1512 [-2*(8-69*x+81*x^2)/(x-1)/(6*x-1)/(9*x-1) lgdogf] A016244 13.4402 [-1/(x-1)/(6*x-1)/(9*x-1) ogf] A016244 4.55601 [{a(n+3)-16*a(n+2)+69*a(n+1)-54*a(n),a(0)=1,a(1)=16,a(2)=187} ogf] A016244 4.7576 [(2550779*f(x)-150660)*(54*f(x)*x^3-69*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016246 12.9378 [-(17-152*x+180*x^2)/(x-1)/(6*x-1)/(10*x-1) lgdogf] A016246 13.8738 [-1/(x-1)/(6*x-1)/(10*x-1) ogf] A016246 4.70297 [{a(n+3)-17*a(n+2)+76*a(n+1)-60*a(n),a(0)=1,a(1)=17,a(2)=213} ogf] A016246 4.91107 [(2314177*f(x)-122850)*(60*f(x)*x^3-76*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016247 13.4649 [-2*(9-83*x+99*x^2)/(x-1)/(6*x-1)/(11*x-1) lgdogf] A016247 14.0906 [-1/(x-1)/(6*x-1)/(11*x-1) ogf] A016247 4.77646 [{a(n+3)-18*a(n+2)+83*a(n+1)-66*a(n),a(0)=1,a(1)=18,a(2)=241} ogf] A016247 4.81729 [(236144153*f(x)-11382228)*(66*f(x)*x^3-83*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016248 12.8203 [-1/(x-1)/(6*x-1)/(12*x-1) ogf] A016248 4.34586 [{a(n+3)-19*a(n+2)+90*a(n+1)-72*a(n),a(0)=1,a(1)=19,a(2)=271} ogf] A016248 4.66192 [(108577*f(x)-4792)*(72*f(x)*x^3-90*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016249 18.1149 [-2*(8-71*x+84*x^2)/(x-1)/(8*x-1)/(7*x-1) lgdogf] A016249 18.4194 [-1/(x-1)/(8*x-1)/(7*x-1) ogf] A016249 6.24385 [{a(n+3)-16*a(n+2)+71*a(n+1)-56*a(n),a(0)=1,a(1)=16,a(2)=185} ogf] A016249 6.29722 [(734282151*f(x)-41806016)*(56*f(x)*x^3-71*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016250 13.1124 [-(17-158*x+189*x^2)/(x-1)/(7*x-1)/(9*x-1) lgdogf] A016250 17.1506 [-1/(x-1)/(7*x-1)/(9*x-1) ogf] A016250 5.81375 [(1302536029*f(x)-65809989)*(63*f(x)*x^3-79*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016250 5.81375 [{a(n+3)-17*a(n+2)+79*a(n+1)-63*a(n),a(0)=1,a(1)=17,a(2)=210} ogf] A016252 13.2534 [-6*(3-29*x+35*x^2)/(x-1)/(7*x-1)/(10*x-1) lgdogf] A016252 13.8738 [-1/(x-1)/(7*x-1)/(10*x-1) ogf] A016252 4.70297 [{a(n+3)-18*a(n+2)+87*a(n+1)-70*a(n),a(0)=1,a(1)=18,a(2)=237} ogf] A016252 4.74317 [(242070443*f(x)-10990700)*(70*f(x)*x^3-87*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016254 11.6701 [-(19-190*x+231*x^2)/(x-1)/(7*x-1)/(11*x-1) lgdogf] A016254 12.5370 [-1/(x-1)/(7*x-1)/(11*x-1) ogf] A016254 4.24981 [{a(n+3)-19*a(n+2)+95*a(n+1)-77*a(n),a(0)=1,a(1)=19,a(2)=266} ogf] A016254 4.32309 [(182822919*f(x)-7535759)*(77*f(x)*x^3-95*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016255 11.2069 [-2*(10-103*x+126*x^2)/(x-1)/(7*x-1)/(-1+12*x) lgdogf] A016255 12.5767 [-1/(x-1)/(7*x-1)/(12*x-1) ogf] A016255 4.29704 [(5322600055*f(x)-200863152)*(84*f(x)*x^3-103*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A016255 4.33314 [{a(n+3)-20*a(n+2)+103*a(n+1)-84*a(n),a(0)=1,a(1)=20,a(2)=297} ogf] A016256 16.3339 [-2*(9-89*x+108*x^2)/(x-1)/(-1+8*x)/(9*x-1) lgdogf] A016256 17.4501 [-1/(x-1)/(8*x-1)/(9*x-1) ogf] A016256 5.86559 [(2487708089*f(x)-109750464)*(72*f(x)*x^3-89*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016256 5.91530 [{a(n+3)-18*a(n+2)+89*a(n+1)-72*a(n),a(0)=1,a(1)=18,a(2)=235} ogf] A016257 12.6370 [-(19-196*x+240*x^2)/(x-1)/(-1+8*x)/(10*x-1) lgdogf] A016257 13.8738 [-1/(x-1)/(8*x-1)/(10*x-1) ogf] A016257 4.70297 [{a(n+3)-19*a(n+2)+98*a(n+1)-80*a(n),a(0)=1,a(1)=19,a(2)=263} ogf] A016257 4.78406 [(130029969*f(x)-5154400)*(80*f(x)*x^3-98*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016259 11.0810 [-2*(10-107*x+132*x^2)/(x-1)/(11*x-1)/(-1+8*x) lgdogf] A016259 12.4385 [-1/(x-1)/(11*x-1)/(8*x-1) ogf] A016259 4.24982 [(6634268475*f(x)-238724288)*(88*f(x)*x^3-107*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A016259 4.28553 [{a(n+3)-20*a(n+2)+107*a(n+1)-88*a(n),a(0)=1,a(1)=20,a(2)=293} ogf] A016260 11.7941 [-(21-232*x+288*x^2)/(x-1)/(8*x-1)/(-1+12*x) lgdogf] A016260 12.6458 [-1/(x-1)/(8*x-1)/(12*x-1) ogf] A016260 4.35695 [{a(n+3)-21*a(n+2)+116*a(n+1)-96*a(n),a(0)=1,a(1)=21,a(2)=325} ogf] A016260 4.54805 [(9927329*f(x)-327024)*(96*f(x)*x^3-116*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A016261 15.5914 [-2*(10-109*x+135*x^2)/(x-1)/(9*x-1)/(10*x-1) lgdogf] A016261 17.0245 [-1/(x-1)/(9*x-1)/(10*x-1) ogf] A016261 5.81671 [(7381059049*f(x)-259548300)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A016261 5.86559 [{a(n+3)-20*a(n+2)+109*a(n+1)-90*a(n),a(0)=1,a(1)=20,a(2)=291} ogf] A016262 12.0074 [-(21-238*x+297*x^2)/(x-1)/(9*x-1)/(11*x-1) lgdogf] A016262 17.9013 [-1/(x-1)/(9*x-1)/(11*x-1) ogf] A016262 6.16768 [(1681202531*f(x)-53660475)*(99*f(x)*x^3-119*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A016262 6.16768 [{a(n+3)-21*a(n+2)+119*a(n+1)-99*a(n),a(0)=1,a(1)=21,a(2)=322} ogf] A016263 11.5904 [-2*(11-129*x+162*x^2)/(x-1)/(12*x-1)/(9*x-1) lgdogf] A016263 12.4122 [-1/(x-1)/(12*x-1)/(9*x-1) ogf] A016263 4.34426 [{a(n+3)-22*a(n+2)+129*a(n+1)-108*a(n),a(0)=1,a(1)=22,a(2)=355} ogf] A016263 4.49406 [(10601149*f(x)-309744)*(108*f(x)*x^3-129*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A016265 11.0865 [-2*(11-131*x+165*x^2)/(x-1)/(-1+10*x)/(11*x-1) lgdogf] A016265 12.4122 [-1/(x-1)/(10*x-1)/(11*x-1) ogf] A016265 4.27304 [(19683914271*f(x)-564380300)*(110*f(x)*x^3-131*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A016265 4.34426 [{a(n+3)-22*a(n+2)+131*a(n+1)-110*a(n),a(0)=1,a(1)=22,a(2)=353} ogf] A016267 11.7192 [-(23-284*x+360*x^2)/(x-1)/(12*x-1)/(-1+10*x) lgdogf] A016267 12.5471 [-1/(x-1)/(12*x-1)/(10*x-1) ogf] A016267 4.39148 [{a(n+3)-23*a(n+2)+142*a(n+1)-120*a(n),a(0)=1,a(1)=23,a(2)=387} ogf] A016267 4.42838 [(942541691*f(x)-24737400)*(120*f(x)*x^3-142*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A016268 11.5847 [-2*(12-155*x+198*x^2)/(x-1)/(12*x-1)/(11*x-1) lgdogf] A016268 12.6820 [-1/(x-1)/(12*x-1)/(11*x-1) ogf] A016268 4.33044 [(48089433371*f(x)-1145436336)*(132*f(x)*x^3-155*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A016268 4.43869 [{a(n+3)-24*a(n+2)+155*a(n+1)-132*a(n),a(0)=1,a(1)=24,a(2)=421} ogf] A016269 13.1675 [-(9-52*x+72*x^2)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A016269 19.8910 [-1/(3*x-1)/(2*x-1)/(4*x-1) ogf] A016269 6.74565 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=9,a(2)=55} ogf] A016269 7.24999 [(5599*f(x)-4104)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A016273 12.4109 [-2*(5-31*x+45*x^2)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A016273 13.3310 [-1/(3*x-1)/(2*x-1)/(5*x-1) ogf] A016273 4.55761 [{a(n+3)-10*a(n+2)+31*a(n+1)-30*a(n),a(0)=1,a(1)=10,a(2)=69} ogf] A016273 6.27099 [(3304651*f(x)-2054700)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A016276 12.5489 [-2*(9*x-2)*(7*x-3)/(3*x-1)/(2*x-1)/(7*x-1) lgdogf] A016276 13.4708 [-1/(3*x-1)/(2*x-1)/(7*x-1) ogf] A016276 4.56638 [{a(n+3)-12*a(n+2)+41*a(n+1)-42*a(n),a(0)=1,a(1)=12,a(2)=103} ogf] A016276 4.6855 [(15273173*f(x)-7117740)*(42*f(x)*x^3-41*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A016277 12.5808 [-(13-92*x+144*x^2)/(3*x-1)/(-1+2*x)/(-1+8*x) lgdogf] A016277 14.1333 [-1/(3*x-1)/(2*x-1)/(8*x-1) ogf] A016277 4.79095 [{a(n+3)-13*a(n+2)+46*a(n+1)-48*a(n),a(0)=1,a(1)=13,a(2)=123} ogf] A016277 5.04761 [(890519*f(x)-367200)*(48*f(x)*x^3-46*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016278 13.4212 [-2*(7-51*x+81*x^2)/(-1+3*x)/(2*x-1)/(9*x-1) lgdogf] A016278 14.7222 [-1/(3*x-1)/(2*x-1)/(9*x-1) ogf] A016278 4.99058 [{a(n+3)-14*a(n+2)+51*a(n+1)-54*a(n),a(0)=1,a(1)=14,a(2)=145} ogf] A016278 5.3053 [(204437*f(x)-75492)*(54*f(x)*x^3-51*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016279 12.0753 [-(15-112*x+180*x^2)/(3*x-1)/(-1+2*x)/(10*x-1) lgdogf] A016279 13.8738 [-1/(3*x-1)/(2*x-1)/(10*x-1) ogf] A016279 4.70297 [{a(n+3)-15*a(n+2)+56*a(n+1)-60*a(n),a(0)=1,a(1)=15,a(2)=169} ogf] A016279 4.95492 [(640492*f(x)-213975)*(60*f(x)*x^3-56*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016280 12.3498 [-2*(8-61*x+99*x^2)/(11*x-1)/(3*x-1)/(-1+2*x) lgdogf] A016280 13.8738 [-1/(11*x-1)/(3*x-1)/(2*x-1) ogf] A016280 4.70297 [{a(n+3)-16*a(n+2)+61*a(n+1)-66*a(n),a(0)=1,a(1)=16,a(2)=195} ogf] A016280 4.82566 [(18474943*f(x)-5632308)*(66*f(x)*x^3-61*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016281 11.2684 [-(17-132*x+216*x^2)/(12*x-1)/(3*x-1)/(2*x-1) lgdogf] A016281 12.6786 [-1/(12*x-1)/(3*x-1)/(2*x-1) ogf] A016281 4.29784 [{a(n+3)-17*a(n+2)+66*a(n+1)-72*a(n),a(0)=1,a(1)=17,a(2)=223} ogf] A016281 4.69579 [(8421*f(x)-2360)*(72*f(x)*x^3-66*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016282 18.1858 [-1/(4*x-1)/(2*x-1)/(5*x-1) ogf] A016282 6.21738 [{a(n+3)-11*a(n+2)+38*a(n+1)-40*a(n),a(0)=1,a(1)=11,a(2)=83} ogf] A016282 6.49495 [(320439*f(x)-172600)*(40*f(x)*x^3-38*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A016283 12.3165 [-x^2/(6*x-1)/(2*x-1)/(4*x-1) ogf] A016283 12.7580 [-4*(3-22*x+36*x^2)/(6*x-1)/(2*x-1)/(4*x-1) lgdogf] A016283 4.79580 [{a(n+3)-12*a(n+2)+44*a(n+1)-48*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A016283 6.45149 [48*f(x)*x^3-44*f(x)*x^2+12*f(x)*x+x^2-f(x) ogf] A016285 12.1124 [-(13-100*x+168*x^2)/(-1+4*x)/(2*x-1)/(7*x-1) lgdogf] A016285 13.6180 [-1/(4*x-1)/(2*x-1)/(7*x-1) ogf] A016285 4.61628 [{a(n+3)-13*a(n+2)+50*a(n+1)-56*a(n),a(0)=1,a(1)=13,a(2)=119} ogf] A016285 4.82054 [(1467237*f(x)-592312)*(56*f(x)*x^3-50*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016290 17.9712 [-2*(7-56*x+96*x^2)/(8*x-1)/(2*x-1)/(-1+4*x) lgdogf] A016290 19.6281 [-1/(8*x-1)/(2*x-1)/(4*x-1) ogf] A016290 6.65359 [{a(n+3)-14*a(n+2)+56*a(n+1)-64*a(n),a(0)=1,a(1)=14,a(2)=140} ogf] A016290 7.40684 [(381*f(x)-136)*(64*f(x)*x^3-56*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016291 16.8511 [-(15-124*x+216*x^2)/(4*x-1)/(9*x-1)/(2*x-1) lgdogf] A016291 18.4194 [-1/(4*x-1)/(9*x-1)/(2*x-1) ogf] A016291 6.24385 [{a(n+3)-15*a(n+2)+62*a(n+1)-72*a(n),a(0)=1,a(1)=15,a(2)=163} ogf] A016291 6.46293 [(4752835*f(x)-1518264)*(72*f(x)*x^3-62*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016292 15.2449 [-8*(6*x-1)*(5*x-2)/(-1+4*x)/(-1+2*x)/(10*x-1) lgdogf] A016292 17.4501 [-1/(4*x-1)/(2*x-1)/(10*x-1) ogf] A016292 5.91530 [{a(n+3)-16*a(n+2)+68*a(n+1)-80*a(n),a(0)=1,a(1)=16,a(2)=188} ogf] A016292 6.34551 [(34971*f(x)-10100)*(80*f(x)*x^3-68*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016293 15.0438 [-(17-148*x+264*x^2)/(11*x-1)/(-1+2*x)/(-1+4*x) lgdogf] A016293 17.5999 [-1/(11*x-1)/(2*x-1)/(4*x-1) ogf] A016293 5.96608 [{a(n+3)-17*a(n+2)+74*a(n+1)-88*a(n),a(0)=1,a(1)=17,a(2)=215} ogf] A016293 6.12171 [(12344817*f(x)-3251512)*(88*f(x)*x^3-74*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016294 11.3328 [-2*(9-80*x+144*x^2)/(12*x-1)/(4*x-1)/(2*x-1) lgdogf] A016294 12.7494 [-1/(12*x-1)/(4*x-1)/(2*x-1) ogf] A016294 4.32185 [{a(n+3)-18*a(n+2)+80*a(n+1)-96*a(n),a(0)=1,a(1)=18,a(2)=244} ogf] A016294 4.72202 [(9149*f(x)-2214)*(96*f(x)*x^3-80*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016295 12.0517 [-(13-104*x+180*x^2)/(6*x-1)/(2*x-1)/(5*x-1) lgdogf] A016295 13.2500 [-1/(6*x-1)/(2*x-1)/(5*x-1) ogf] A016295 4.49152 [{a(n+3)-13*a(n+2)+52*a(n+1)-60*a(n),a(0)=1,a(1)=13,a(2)=117} ogf] A016295 4.86238 [(10303*f(x)-4050)*(60*f(x)*x^3-52*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016296 12.3131 [-2*(7-59*x+105*x^2)/(2*x-1)/(-1+7*x)/(5*x-1) lgdogf] A016296 13.8389 [-1/(2*x-1)/(7*x-1)/(5*x-1) ogf] A016296 4.69114 [{a(n+3)-14*a(n+2)+59*a(n+1)-70*a(n),a(0)=1,a(1)=14,a(2)=137} ogf] A016296 4.73124 [(121396119*f(x)-41566700)*(70*f(x)*x^3-59*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016297 12.9154 [-3*(5-44*x+80*x^2)/(-1+2*x)/(-1+8*x)/(5*x-1) lgdogf] A016297 14.5014 [-1/(2*x-1)/(8*x-1)/(5*x-1) ogf] A016297 4.91572 [{a(n+3)-15*a(n+2)+66*a(n+1)-80*a(n),a(0)=1,a(1)=15,a(2)=159} ogf] A016297 5.17906 [(335933*f(x)-101600)*(80*f(x)*x^3-66*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016298 12.1664 [-2*(8-73*x+135*x^2)/(9*x-1)/(2*x-1)/(5*x-1) lgdogf] A016298 13.3680 [-1/(9*x-1)/(2*x-1)/(5*x-1) ogf] A016298 4.53151 [{a(n+3)-16*a(n+2)+73*a(n+1)-90*a(n),a(0)=1,a(1)=16,a(2)=183} ogf] A016298 4.53152 [(392618773*f(x)-106166700)*(90*f(x)*x^3-73*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016299 12.0753 [-(17-160*x+300*x^2)/(-1+2*x)/(5*x-1)/(10*x-1) lgdogf] A016299 13.5354 [-1/(2*x-1)/(5*x-1)/(10*x-1) ogf] A016299 4.66345 [{a(n+3)-17*a(n+2)+80*a(n+1)-100*a(n),a(0)=1,a(1)=17,a(2)=209} ogf] A016299 5.13844 [(1617*f(x)-395)*(100*f(x)*x^3-80*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016301 12.7714 [-6*(3-29*x+55*x^2)/(5*x-1)/(2*x-1)/(11*x-1) lgdogf] A016301 13.6764 [-1/(5*x-1)/(2*x-1)/(11*x-1) ogf] A016301 4.71203 [{a(n+3)-18*a(n+2)+87*a(n+1)-110*a(n),a(0)=1,a(1)=18,a(2)=237} ogf] A016301 4.75197 [(113214283*f(x)-25204300)*(110*f(x)*x^3-87*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016302 12.5076 [-1/(12*x-1)/(2*x-1)/(5*x-1) ogf] A016302 4.30934 [{a(n+3)-19*a(n+2)+94*a(n+1)-120*a(n),a(0)=1,a(1)=19,a(2)=267} ogf] A016302 4.42079 [(48316067*f(x)-9876600)*(120*f(x)*x^3-94*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016304 12.5808 [-(15-136*x+252*x^2)/(6*x-1)/(-1+2*x)/(7*x-1) lgdogf] A016304 14.1333 [-1/(6*x-1)/(2*x-1)/(7*x-1) ogf] A016304 4.79095 [{a(n+3)-15*a(n+2)+68*a(n+1)-84*a(n),a(0)=1,a(1)=15,a(2)=157} ogf] A016304 4.95906 [(4268225*f(x)-1251558)*(84*f(x)*x^3-68*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016305 13.0492 [-8*(2-19*x+36*x^2)/(6*x-1)/(-1+8*x)/(-1+2*x) lgdogf] A016305 14.6486 [-1/(6*x-1)/(8*x-1)/(2*x-1) ogf] A016305 4.96563 [{a(n+3)-16*a(n+2)+76*a(n+1)-96*a(n),a(0)=1,a(1)=16,a(2)=180} ogf] A016305 5.23164 [(495859*f(x)-128304)*(96*f(x)*x^3-76*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016306 12.3009 [-(17-168*x+324*x^2)/(6*x-1)/(2*x-1)/(9*x-1) lgdogf] A016306 13.1829 [-1/(6*x-1)/(2*x-1)/(9*x-1) ogf] A016306 4.54201 [{a(n+3)-17*a(n+2)+84*a(n+1)-108*a(n),a(0)=1,a(1)=17,a(2)=205} ogf] A016306 4.86937 [(56767*f(x)-13122)*(108*f(x)*x^3-84*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016307 12.0753 [-2*(9-92*x+180*x^2)/(6*x-1)/(-1+2*x)/(10*x-1) lgdogf] A016307 13.5354 [-1/(6*x-1)/(2*x-1)/(10*x-1) ogf] A016307 4.66345 [{a(n+3)-18*a(n+2)+92*a(n+1)-120*a(n),a(0)=1,a(1)=18,a(2)=232} ogf] A016307 4.86799 [(1420013*f(x)-296325)*(120*f(x)*x^3-92*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016308 11.0753 [-(19-200*x+396*x^2)/(6*x-1)/(2*x-1)/(11*x-1) lgdogf] A016308 11.8725 [-1/(6*x-1)/(2*x-1)/(11*x-1) ogf] A016308 4.15538 [{a(n+3)-19*a(n+2)+100*a(n+1)-132*a(n),a(0)=1,a(1)=19,a(2)=261} ogf] A016308 4.26193 [(35786569*f(x)-6801894)*(132*f(x)*x^3-100*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016309 10.9633 [-4*(5-54*x+108*x^2)/(-1+12*x)/(-1+6*x)/(2*x-1) lgdogf] A016309 12.2772 [-1/(12*x-1)/(6*x-1)/(2*x-1) ogf] A016309 4.29703 [{a(n+3)-20*a(n+2)+108*a(n+1)-144*a(n),a(0)=1,a(1)=20,a(2)=292} ogf] A016309 4.77449 [(665*f(x)-116)*(144*f(x)*x^3-108*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A016311 12.0992 [-(17-172*x+336*x^2)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A016311 12.9714 [-1/(2*x-1)/(8*x-1)/(7*x-1) ogf] A016311 4.46914 [{a(n+3)-17*a(n+2)+86*a(n+1)-112*a(n),a(0)=1,a(1)=17,a(2)=203} ogf] A016311 4.58473 [(32060379*f(x)-7204960)*(112*f(x)*x^3-86*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016312 12.2841 [-2*(9-95*x+189*x^2)/(9*x-1)/(-1+2*x)/(7*x-1) lgdogf] A016312 13.4649 [-1/(9*x-1)/(2*x-1)/(7*x-1) ogf] A016312 4.60051 [(1783522379*f(x)-357829164)*(126*f(x)*x^3-95*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A016312 4.63917 [{a(n+3)-18*a(n+2)+95*a(n+1)-126*a(n),a(0)=1,a(1)=18,a(2)=229} ogf] A016313 12.0753 [-(19-208*x+420*x^2)/(-1+2*x)/(7*x-1)/(10*x-1) lgdogf] A016313 13.2131 [-1/(2*x-1)/(7*x-1)/(10*x-1) ogf] A016313 4.62459 [{a(n+3)-19*a(n+2)+104*a(n+1)-140*a(n),a(0)=1,a(1)=19,a(2)=257} ogf] A016313 4.74317 [(22947438*f(x)-4153975)*(140*f(x)*x^3-104*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016314 10.7169 [-2*(10-113*x+231*x^2)/(7*x-1)/(2*x-1)/(11*x-1) lgdogf] A016314 12.0074 [-1/(7*x-1)/(2*x-1)/(11*x-1) ogf] A016314 4.16787 [(4626148605*f(x)-762398252)*(154*f(x)*x^3-113*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A016314 4.20259 [{a(n+3)-20*a(n+2)+113*a(n+1)-154*a(n),a(0)=1,a(1)=20,a(2)=287} ogf] A016315 11.2699 [-(21-244*x+504*x^2)/(-1+12*x)/(2*x-1)/(7*x-1) lgdogf] A016315 12.3447 [-1/(12*x-1)/(2*x-1)/(7*x-1) ogf] A016315 4.32064 [{a(n+3)-21*a(n+2)+122*a(n+1)-168*a(n),a(0)=1,a(1)=21,a(2)=319} ogf] A016315 4.35696 [(219327097*f(x)-33159672)*(168*f(x)*x^3-122*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A016316 12.0753 [-(19-212*x+432*x^2)/(-1+8*x)/(-1+2*x)/(9*x-1) lgdogf] A016316 13.2131 [-1/(8*x-1)/(2*x-1)/(9*x-1) ogf] A016316 4.62459 [{a(n+3)-19*a(n+2)+106*a(n+1)-144*a(n),a(0)=1,a(1)=19,a(2)=255} ogf] A016316 5.86559 [(103554053*f(x)-18296928)*(144*f(x)*x^3-106*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A016317 11.8128 [-4*(5-58*x+120*x^2)/(-1+2*x)/(-1+8*x)/(10*x-1) lgdogf] A016317 13.2131 [-1/(2*x-1)/(8*x-1)/(10*x-1) ogf] A016317 4.62459 [{a(n+3)-20*a(n+2)+116*a(n+1)-160*a(n),a(0)=1,a(1)=20,a(2)=284} ogf] A016317 4.82566 [(5329149*f(x)-849200)*(160*f(x)*x^3-116*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A016318 12.2098 [-1/(11*x-1)/(8*x-1)/(2*x-1) ogf] A016318 4.27342 [{a(n+3)-21*a(n+2)+126*a(n+1)-176*a(n),a(0)=1,a(1)=21,a(2)=315} ogf] A016318 4.38301 [(12789283*f(x)-1854688)*(176*f(x)*x^3-126*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A016320 11.0865 [-2*(11-136*x+288*x^2)/(12*x-1)/(2*x-1)/(8*x-1) lgdogf] A016320 12.4122 [-1/(12*x-1)/(2*x-1)/(8*x-1) ogf] A016320 4.34426 [{a(n+3)-22*a(n+2)+136*a(n+1)-192*a(n),a(0)=1,a(1)=22,a(2)=348} ogf] A016320 4.6965 [(56843*f(x)-7560)*(192*f(x)*x^3-136*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A016321 12.5468 [-(21-256*x+540*x^2)/(9*x-1)/(2*x-1)/(10*x-1) lgdogf] A016321 13.4196 [-1/(9*x-1)/(2*x-1)/(10*x-1) ogf] A016321 4.69685 [{a(n+3)-21*a(n+2)+128*a(n+1)-180*a(n),a(0)=1,a(1)=21,a(2)=313} ogf] A016321 4.77646 [(74102551*f(x)-10527975)*(180*f(x)*x^3-128*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A016322 11.0249 [-2*(11-139*x+297*x^2)/(11*x-1)/(2*x-1)/(9*x-1) lgdogf] A016322 12.3447 [-1/(11*x-1)/(2*x-1)/(9*x-1) ogf] A016322 4.21527 [(14937920359*f(x)-1930836204)*(198*f(x)*x^3-139*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A016322 4.32064 [{a(n+3)-22*a(n+2)+139*a(n+1)-198*a(n),a(0)=1,a(1)=22,a(2)=345} ogf] A016324 11.5904 [-(23-300*x+648*x^2)/(12*x-1)/(9*x-1)/(2*x-1) lgdogf] A016324 12.4122 [-1/(12*x-1)/(9*x-1)/(2*x-1) ogf] A016324 4.34426 [{a(n+3)-23*a(n+2)+150*a(n+1)-216*a(n),a(0)=1,a(1)=23,a(2)=379} ogf] A016324 4.53314 [(2914309*f(x)-345384)*(216*f(x)*x^3-150*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A016325 11.0865 [-(23-304*x+660*x^2)/(2*x-1)/(-1+10*x)/(11*x-1) lgdogf] A016325 12.4122 [-1/(2*x-1)/(10*x-1)/(11*x-1) ogf] A016325 4.34426 [{a(n+3)-23*a(n+2)+152*a(n+1)-220*a(n),a(0)=1,a(1)=23,a(2)=377} ogf] A016325 4.45565 [(27453072*f(x)-3197425)*(220*f(x)*x^3-152*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A016326 11.5217 [-8*(3-41*x+90*x^2)/(12*x-1)/(2*x-1)/(-1+10*x) lgdogf] A016326 12.6145 [-1/(12*x-1)/(2*x-1)/(10*x-1) ogf] A016326 4.41508 [{a(n+3)-24*a(n+2)+164*a(n+1)-240*a(n),a(0)=1,a(1)=24,a(2)=412} ogf] A016326 4.5283 [(36441461*f(x)-3890700)*(240*f(x)*x^3-164*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A016332 22.3867 [x^18+x^6-1 ogf_with_Euler_transform] A016332 5.26012 [-1/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A016335 19.2244 [x^12+x^10-1 ogf_with_Euler_transform] A016338 7.48004 [x^21+x^13-x^10-x^6-x+1 ogf_with_Euler_transform] A016341 19.8652 [x^22+x^6-1 ogf_with_Euler_transform] A016344 5.05566 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A016347 4.17485 [-(x^18-x^6-1)/(x^8+1)/(x^16-x^8+1) ogf] A016351 15.8318 [x^16+x^10-1 ogf_with_Euler_transform] A016352 4.88382 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^18-x^17+x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A016356 17.8108 [x^18+x^10-1 ogf_with_Euler_transform] A016359 4.52897 [1/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A016360 16.3973 [x^16+x^12-1 ogf_with_Euler_transform] A016361 7.01947 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^22-x^21+x^20-x^19+x^18-x^17+x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A016364 15.2664 [x^18+x^12-1 ogf_with_Euler_transform] A016365 13.9942 [x^22+x^10-1 ogf_with_Euler_transform] A016368 4.97739 [1/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^24-x^22+x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A016369 4.85516 [1/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^18-x^17+x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A016376 16.3973 [x^22+x^12-1 ogf_with_Euler_transform] A016382 4.81972 [1/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^22-x^21+x^20-x^19+x^18-x^17+x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A016383 16.1145 [x^18+x^16-1 ogf_with_Euler_transform] A016399 15.1251 [x^22+x^16-1 ogf_with_Euler_transform] A016411 15.1251 [x^22+x^18-1 ogf_with_Euler_transform] A016633 10.2278 [-(25-356*x+792*x^2)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A016633 11.2224 [-1/(2*x-1)/(12*x-1)/(11*x-1) ogf] A016633 3.89537 [(1836445205*f(x)-178273656)*(264*f(x)*x^3-178*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A016633 3.92783 [{a(n+3)-25*a(n+2)+178*a(n+1)-264*a(n),a(0)=1,a(1)=25,a(2)=447} ogf] A016724 11.0206 [-2*(1+2*x+2*x^4+6*x^3-10*x^2)/(x-1)/(2*x^2-1)/(x^2+2*x-2) lgdogf] A016724 4.87358 [(31*f(x)-959)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*f(x)*x-x^2-f(x)-2*x+2) ogf] A016724 9.32336 [(x^2+2*x-2)/(2*x^2-1)/(x-1)^2 ogf] A016742 14.4549 [-4*x*(x+1)/(x-1)^3 ogf] A016742 39.0157 [[4-x] ogf_with_Euler_transform] A016742 40.6191 [-2*(x+2)/(x-1)/(1+x) lgdogf] A016742 7.35654 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=16} ogf] A016742 7.7003 [(f(x)+1)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+4*x) ogf] A016743 22.1098 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A016743 3.60895 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=8,a(2)=64,a(3)=216} ogf] A016743 5.02224 [-(165*f(x)+2174)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-32*x^2+f(x)-8*x) ogf] A016743 9.70515 [8*x*(x^2+4*x+1)/(x-1)^4 ogf] A016744 11.8539 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A016744 5.84442 [-16*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A016745 4.74344 [32*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A016745 8.39347 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A016746 3.61187 [-64*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A016746 6.17638 [-2*(32+473*x+x^5+88*x^4+718*x^3+1208*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A016747 3.15351 [128*x*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A016753 11.2300 [-2*(9*x-2)*(10*x-3)/(4*x-1)/(3*x-1)/(5*x-1) lgdogf] A016753 12.3666 [-1/(4*x-1)/(3*x-1)/(5*x-1) ogf] A016753 4.22791 [{a(n+3)-12*a(n+2)+47*a(n+1)-60*a(n),a(0)=1,a(1)=12,a(2)=97} ogf] A016753 4.33917 [(3157481*f(x)-2667600)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A016754 12.4072 [-(x^2+6*x+1)/(x-1)^3 ogf] A016754 23.9258 [-(9+14*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A016754 6.63893 [(39*f(x)-154)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+6*x+1) ogf] A016754 6.69768 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=25} ogf] A016755 12.0851 [-(27+115*x+x^3+49*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A016755 5.6557 [(1728*f(x)+31973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-23*x^2+f(x)-23*x-1) ogf] A016755 7.36209 [(x+1)*(x^2+22*x+1)/(x-1)^4 ogf] A016756 5.75927 [-(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^5 ogf] A016756 8.57131 [-(81+764*x+x^4+156*x^3+918*x^2)/(x-1)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A016757 4.62613 [(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6 ogf] A016757 6.34306 [-(243+4549*x+x^5+479*x^4+5994*x^3+11774*x^2)/(x-1)/(x+1)/(x^4+236*x^3+1446*x^2+236*x+1) lgdogf] A016758 3.61554 [-(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^7 ogf] A016759 3.18692 [(x+1)*(x^6+2178*x^5+58479*x^4+201244*x^3+58479*x^2+2178*x+1)/(x-1)^8 ogf] A016765 16.3897 [-(13-108*x+216*x^2)/(6*x-1)/(3*x-1)/(4*x-1) lgdogf] A016765 17.9280 [-1/(6*x-1)/(3*x-1)/(4*x-1) ogf] A016765 6.07730 [{a(n+3)-13*a(n+2)+54*a(n+1)-72*a(n),a(0)=1,a(1)=13,a(2)=115} ogf] A016765 6.64002 [(2023*f(x)-1528)*(72*f(x)*x^3-54*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A016766 13.7911 [-9*x*(x+1)/(x-1)^3 ogf] A016766 37.1987 [[4-x] ogf_with_Euler_transform] A016766 38.7404 [-2*(x+2)/(x-1)/(x+1) lgdogf] A016766 7.01867 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=36} ogf] A016766 7.34664 [(4*f(x)+9)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+9*x) ogf] A016767 17.9940 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A016767 4.01308 [-(220*f(x)+9783)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-108*x^2+f(x)-27*x) ogf] A016767 7.60922 [27*x*(x^2+4*x+1)/(x-1)^4 ogf] A016768 16.2100 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A016768 4.21897 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+32*n+72)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=81,a(2)=1296} ogf] A016768 7.95951 [-81*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A016769 4.29227 [243*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A016769 7.91575 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A016770 3.54535 [-729*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A016770 6.32509 [-2*(32+473*x+x^5+88*x^4+718*x^3+1208*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A016771 3.08744 [2187*x*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A016777 10.6747 [(3*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-1) ogf] A016777 11.0652 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=4} ogf] A016777 20.1632 [(2*x+1)/(x-1)^2 ogf] A016777 25.4507 [-1/2*(-1-2*x+(1+12*x)^(1/2))/(-2+x) revogf] A016777 40.4897 [-2*(x+2)/(2*x+1)/(x-1) lgdogf] A016778 16.1743 [-2*(x+8)*(1+2*x)/(x-1)/(4*x^2+13*x+1) lgdogf] A016778 5.14943 [(3588*f(x)-28063)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+13*x+1) ogf] A016778 5.37528 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=49} ogf] A016778 9.88358 [-(4*x^2+13*x+1)/(x-1)^3 ogf] A016779 10.3877 [(8*x^3+93*x^2+60*x+1)/(x-1)^4 ogf] A016779 14.6599 [-2*(32+183*x+4*x^3+105*x^2)/(x-1)/(8*x^3+93*x^2+60*x+1) lgdogf] A016779 4.25195 [{(-69*n^2-313*n-350)*a(n+1)+(108*n^2+424*n+800)*a(n+2)+(-39*n^2-201*n-252)*a(n+3),a(0)=1,a(1)=64,a(2)=343} ogf] A016779 5.58249 [(2227*f(x)+124947)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-93*x^2+f(x)-60*x-1) ogf] A016780 5.43046 [-(16*x^4+545*x^3+1131*x^2+251*x+1)/(x-1)^5 ogf] A016780 7.00801 [-2*(128+1633*x+8*x^4+577*x^3+2514*x^2)/(x-1)/(16*x^4+545*x^3+1131*x^2+251*x+1) lgdogf] A016781 4.26713 [(32*x^5+2933*x^4+14498*x^3+10678*x^2+1018*x+1)/(x-1)^6 ogf] A016781 5.04520 [-2*(512+13223*x+16*x^5+3013*x^4+27613*x^3+43103*x^2)/(x-1)/(32*x^5+2933*x^4+14498*x^3+10678*x^2+1018*x+1) lgdogf] A016782 3.54893 [-(64*x^6+15177*x^5+154113*x^4+262438*x^3+88998*x^2+4089*x+1)/(x-1)^7 ogf] A016783 3.10028 [(128*x^7+77101*x^6+1475736*x^5+4890287*x^4+3870352*x^3+692499*x^2+16376*x+1)/(x-1)^8 ogf] A016789 10.3357 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=5} ogf] A016789 18.8340 [(x+2)/(x-1)^2 ogf] A016789 30.7834 [-(-1-x+(1+3*x)^(1/2))/(x-1) revogf] A016789 46.1751 [-(x+5)/(x+2)/(x-1) lgdogf] A016789 9.85499 [(6*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)-x-2) ogf] A016790 13.1836 [-(16*x^2+x+1)/(x-1)^3 ogf] A016790 18.2434 [-(25+28*x+x^2)/(x-1)/(x^2+13*x+4) lgdogf] A016790 6.92699 [(1572*f(x)-8747)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+x+1) ogf] A016790 7.23350 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=25} ogf] A016791 14.1958 [-(125+399*x+123*x^2+x^3)/(x-1)/(x^3+60*x^2+93*x+8) lgdogf] A016791 3.71168 [{(39*n^2+189*n+222)*a(n+1)+(-108*n^2-656*n-1380)*a(n+2)+(69*n^2+377*n+510)*a(n+3),a(0)=8,a(1)=125,a(2)=512} ogf] A016791 4.89039 [(12692*f(x)+876367)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-60*x^2+f(x)-93*x-8) ogf] A016791 9.16175 [(x^3+60*x^2+93*x+8)/(x-1)^4 ogf] A016792 5.49217 [-(x^4+251*x^3+1131*x^2+545*x+16)/(x-1)^5 ogf] A016792 7.68029 [-(625+4442*x+x^4+506*x^3+4146*x^2)/(x-1)/(x^4+251*x^3+1131*x^2+545*x+16) lgdogf] A016793 4.31507 [(x^5+1018*x^4+10678*x^3+14498*x^2+2933*x+32)/(x-1)^6 ogf] A016793 5.41248 [-(3125+43661*x+x^5+2041*x^4+36106*x^3+90026*x^2)/(x-1)/(x^5+1018*x^4+10678*x^3+14498*x^2+2933*x+32) lgdogf] A016794 3.62693 [-(x^6+4089*x^5+88998*x^4+262438*x^3+154113*x^2+15177*x+64)/(x-1)^7 ogf] A016795 4.57290 [(x^7+16376*x^6+692499*x^5+3870352*x^4+4890287*x^3+1475736*x^2+77101*x+128)/(x-1)^8 ogf] A016801 11.9741 [-2*(7-61*x+126*x^2)/(3*x-1)/(-1+7*x)/(-1+4*x) lgdogf] A016801 13.7652 [-1/(3*x-1)/(7*x-1)/(4*x-1) ogf] A016801 4.66619 [{a(n+3)-14*a(n+2)+61*a(n+1)-84*a(n),a(0)=1,a(1)=14,a(2)=135} ogf] A016801 4.74664 [(92132701*f(x)-62170416)*(84*f(x)*x^3-61*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A016802 13.7470 [-16*x*(x+1)/(x-1)^3 ogf] A016802 38.3736 [[4-x] ogf_with_Euler_transform] A016802 39.9931 [-2*(x+2)/(x-1)/(x+1) lgdogf] A016802 7.17765 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=64} ogf] A016802 7.44105 [(f(x)+4)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+16*x) ogf] A016803 23.3829 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A016803 3.75615 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=64,a(2)=512,a(3)=1728} ogf] A016803 5.16151 [-(165*f(x)+17392)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-256*x^2+f(x)-64*x) ogf] A016803 9.85381 [64*x*(x^2+4*x+1)/(x-1)^4 ogf] A016804 11.4078 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A016804 5.40173 [-256*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A016805 4.20829 [1024*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A016805 8.01934 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A016806 3.36265 [-4096*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A016806 6.24463 [-2*(32+473*x+x^5+88*x^4+718*x^3+1208*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A016813 10.2359 [(8*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-1) ogf] A016813 10.7352 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A016813 19.5618 [(3*x+1)/(x-1)^2 ogf] A016813 24.6830 [-1/2*(-1-2*x+(1+16*x)^(1/2))/(-3+x) revogf] A016813 39.2684 [-(5+3*x)/(3*x+1)/(x-1) lgdogf] A016814 14.0381 [-(9*x^2+22*x+1)/(x-1)^3 ogf] A016814 15.8210 [-(25+62*x+9*x^2)/(x-1)/(9*x^2+22*x+1) lgdogf] A016814 7.37596 [(976*f(x)-12729)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+22*x+1) ogf] A016814 7.63477 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=81} ogf] A016815 3.75725 [(6976*f(x)+877077)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-235*x^2+f(x)-121*x-1) ogf] A016815 6.87304 [(27*x^3+235*x^2+121*x+1)/(x-1)^4 ogf] A016815 9.48975 [-(125+833*x+27*x^3+551*x^2)/(x-1)/(27*x^3+235*x^2+121*x+1) lgdogf] A016816 6.74130 [-(625+9372*x+81*x^4+4316*x^3+16326*x^2)/(x-1)/(81*x^4+1996*x^3+3446*x^2+620*x+1) lgdogf] A016816 7.57642 [-(81*x^4+1996*x^3+3446*x^2+620*x+1)/(x-1)^5 ogf] A016817 5.81395 [(243*x^5+15349*x^4+63854*x^3+40314*x^2+3119*x+1)/(x-1)^6 ogf] A016818 3.35357 [-(729*x^6+112546*x^5+963327*x^4+1434812*x^3+422087*x^2+15618*x+1)/(x-1)^7 ogf] A016825 10.5419 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=6} ogf] A016825 13.7212 [-f(x)*x^2+2*f(x)*x-f(x)+2*x+2 ogf] A016825 19.2097 [2*(x+1)/(x-1)^2 ogf] A016825 30.2903 [-(-1-x+(1+4*x)^(1/2))/(-2+x) revogf] A016825 40.9911 [[3-x] ogf_with_Euler_transform] A016825 47.1182 [-(x+3)/(x-1)/(x+1) lgdogf] A016826 18.9968 [-(9+14*x+x^2)/(x-1)/(1+6*x+x^2) lgdogf] A016826 5.24354 [(39*f(x)-616)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+24*x+4) ogf] A016826 5.24355 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=36,a(2)=100} ogf] A016826 9.72594 [-4*(x^2+6*x+1)/(x-1)^3 ogf] A016827 11.8510 [-(27+115*x+x^3+49*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A016827 3.87877 [(216*f(x)+31973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-184*x^2+f(x)-184*x-8) ogf] A016827 7.03926 [8*(x+1)*(x^2+22*x+1)/(x-1)^4 ogf] A016828 6.01262 [-16*(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^5 ogf] A016828 9.60712 [-(81+764*x+918*x^2+156*x^3+x^4)/(x-1)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A016829 4.23615 [32*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6 ogf] A016830 3.12567 [-64*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^7 ogf] A016838 17.8455 [-(49+46*x+x^2)/(x-1)/(x^2+22*x+9) lgdogf] A016838 5.06729 [(1552*f(x)-29223)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+22*x+9) ogf] A016838 5.24355 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=49,a(2)=121} ogf] A016838 9.72594 [-(x^2+22*x+9)/(x-1)^3 ogf] A016839 10.6337 [-(343+947*x+x^3+245*x^2)/(x-1)/(x^3+121*x^2+235*x+27) lgdogf] A016839 3.74527 [(391872*f(x)+67307119)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-121*x^2+f(x)-235*x-27) ogf] A016839 7.03380 [(x^3+121*x^2+235*x+27)/(x-1)^4 ogf] A016840 5.08238 [-(x^4+620*x^3+3446*x^2+1996*x+81)/(x-1)^5 ogf] A016840 6.70394 [-(2401+14876*x+x^4+1244*x^3+12198*x^2)/(x-1)/(x^4+620*x^3+3446*x^2+1996*x+81) lgdogf] A016841 4.24976 [(x^5+3119*x^4+40314*x^3+63854*x^2+15349*x+243)/(x-1)^6 ogf] A016842 3.17828 [-(x^6+15618*x^5+422087*x^4+1434812*x^3+963327*x^2+112546*x+729)/(x-1)^7 ogf] A016849 12.2898 [-(15-136*x+288*x^2)/(-1+4*x)/(-1+3*x)/(-1+8*x) lgdogf] A016849 14.4278 [-1/(4*x-1)/(3*x-1)/(8*x-1) ogf] A016849 4.89076 [{a(n+3)-15*a(n+2)+68*a(n+1)-96*a(n),a(0)=1,a(1)=15,a(2)=157} ogf] A016849 5.19919 [(163205*f(x)-98928)*(96*f(x)*x^3-68*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A016850 10.0747 [-25*x*(x+1)/(x-1)^3 ogf] A016850 28.0560 [[4-x] ogf_with_Euler_transform] A016850 29.1959 [-2*(x+2)/(x-1)/(x+1) lgdogf] A016850 5.21410 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=25,a(2)=100} ogf] A016850 7.35962 [(4*f(x)+25)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+25*x) ogf] A016851 10.0469 [125*x*(x^2+4*x+1)/(x-1)^4 ogf] A016851 24.4756 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A016851 3.89073 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=125,a(2)=1000,a(3)=3375} ogf] A016851 5.32689 [-(132*f(x)+27175)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-500*x^2+f(x)-125*x) ogf] A016852 11.1804 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A016852 5.29455 [-625*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A016853 6.18431 [3125*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A016853 7.70084 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A016854 3.21706 [-15625*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A016854 6.05118 [-2*(32+473*x+x^5+88*x^4+718*x^3+1208*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A016861 10.3048 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A016861 18.7777 [(4*x+1)/(x-1)^2 ogf] A016861 24.3772 [-1/2*(-1-2*x+(1+20*x)^(1/2))/(x-4) revogf] A016861 34.5344 [-2*(3+2*x)/(4*x+1)/(x-1) lgdogf] A016861 9.82555 [(5*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-1) ogf] A016862 14.5979 [-2*(18+49*x+8*x^2)/(x-1)/(16*x^2+33*x+1) lgdogf] A016862 4.90084 [(14460*f(x)-283757)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+33*x+1) ogf] A016862 5.19916 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=36,a(2)=121} ogf] A016862 9.49052 [-(16*x^2+33*x+1)/(x-1)^3 ogf] A016863 3.63891 [(132435*f(x)+31419091)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-473*x^2+f(x)-212*x-1) ogf] A016863 6.83406 [(64*x^3+473*x^2+212*x+1)/(x-1)^4 ogf] A016863 9.12268 [-2*(108+791*x+32*x^3+569*x^2)/(x-1)/(64*x^3+473*x^2+212*x+1) lgdogf] A016864 5.10313 [-(256*x^4+5281*x^3+8171*x^2+1291*x+1)/(x-1)^5 ogf] A016864 6.14614 [-2*(648+10753*x+128*x^4+5793*x^3+20178*x^2)/(x-1)/(256*x^4+5281*x^3+8171*x^2+1291*x+1) lgdogf] A016865 3.92592 [(1024*x^5+52905*x^4+198890*x^3+114410*x^2+7770*x+1)/(x-1)^6 ogf] A016866 3.15395 [-(4096*x^6+502769*x^5+3895465*x^4+5356030*x^3+1444990*x^2+46649*x+1)/(x-1)^7 ogf] A016873 10.0634 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=7} ogf] A016873 18.3377 [(3*x+2)/(x-1)^2 ogf] A016873 28.8963 [-(-1-x+(1+5*x)^(1/2))/(-3+x) revogf] A016873 36.7771 [-(7+3*x)/(3*x+2)/(x-1) lgdogf] A016873 9.48502 [(10*f(x)+29)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-2) ogf] A016874 16.3170 [-(49+92*x+9*x^2)/(x-1)/(9*x+1)/(x+4) lgdogf] A016874 4.97024 [(17740*f(x)-405759)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+37*x+4) ogf] A016874 5.22957 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=49,a(2)=144} ogf] A016874 9.70000 [-(x+4)*(9*x+1)/(x-1)^3 ogf] A016875 3.68123 [(222140*f(x)+60276599)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-404*x^2+f(x)-311*x-8) ogf] A016875 6.91352 [(27*x^3+404*x^2+311*x+8)/(x-1)^4 ogf] A016875 9.38775 [-(343+1741*x+27*x^3+889*x^2)/(x-1)/(27*x^3+404*x^2+311*x+8) lgdogf] A016876 5.19061 [-(81*x^4+3691*x^3+8891*x^2+2321*x+16)/(x-1)^5 ogf] A016876 6.40287 [-(2401+27066*x+81*x^4+7706*x^3+37746*x^2)/(x-1)/(81*x^4+3691*x^3+8891*x^2+2321*x+16) lgdogf] A016877 3.94068 [(243*x^5+31310*x^4+178330*x^3+148470*x^2+16615*x+32)/(x-1)^6 ogf] A016878 3.22278 [-(729*x^6+257041*x^5+3007110*x^4+5704070*x^3+2163785*x^2+117201*x+64)/(x-1)^7 ogf] A016885 10.3048 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=8} ogf] A016885 18.7777 [(2*x+3)/(x-1)^2 ogf] A016885 23.6807 [-1/2*(-3-2*x+(9+20*x)^(1/2))/(-2+x) revogf] A016885 37.6739 [-2*(x+4)/(3+2*x)/(x-1) lgdogf] A016885 9.82555 [(5*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-3) ogf] A016886 13.1772 [-(x+9)*(4*x+1)/(x-1)^3 ogf] A016886 15.4583 [-2*(32+41*x+2*x^2)/(x-1)/(x+9)/(4*x+1) lgdogf] A016886 6.75195 [(21340*f(x)-566721)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+37*x+9) ogf] A016886 7.10422 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=64,a(2)=169} ogf] A016887 3.62845 [{(3205*n^2+15353*n+17886)*a(n+1)+(-7700*n^2-43480*n-89952)*a(n+2)+(4495*n^2+24257*n+32316)*a(n+3),a(0)=27,a(1)=512,a(2)=2197} ogf] A016887 5.01857 [(205995*f(x)+63301157)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-311*x^2+f(x)-404*x-27) ogf] A016887 8.89284 [-2*(256+917*x+4*x^3+323*x^2)/(x-1)/(8*x^3+311*x^2+404*x+27) lgdogf] A016887 9.42512 [(8*x^3+311*x^2+404*x+27)/(x-1)^4 ogf] A016888 5.21977 [-(16*x^4+2321*x^3+8891*x^2+3691*x+81)/(x-1)^5 ogf] A016888 6.36391 [-2*(2048+16273*x+8*x^4+2353*x^3+16818*x^2)/(x-1)/(16*x^4+2321*x^3+8891*x^2+3691*x+81) lgdogf] A016889 3.96282 [(32*x^5+16615*x^4+148470*x^3+178330*x^2+31310*x+243)/(x-1)^6 ogf] A016890 3.24048 [-(64*x^6+117201*x^5+2163785*x^4+5704070*x^3+3007110*x^2+257041*x+729)/(x-1)^7 ogf] A016897 10.3048 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=9} ogf] A016897 18.7777 [(x+4)/(x-1)^2 ogf] A016897 30.6972 [-(-2-x+(4+5*x)^(1/2))/(x-1) revogf] A016897 46.0458 [-(x+9)/(x+4)/(x-1) lgdogf] A016897 9.71262 [(10*f(x)+41)*(f(x)*x^2-2*f(x)*x+f(x)-x-4) ogf] A016898 13.0270 [-(x^2+33*x+16)/(x-1)^3 ogf] A016898 17.3797 [-(81+68*x+x^2)/(x-1)/(x^2+33*x+16) lgdogf] A016898 6.72704 [(25260*f(x)-767123)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+33*x+16) ogf] A016898 7.07499 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=81,a(2)=196} ogf] A016899 3.51341 [(91260*f(x)+31497701)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-212*x^2+f(x)-473*x-64) ogf] A016899 6.55552 [(x^3+212*x^2+473*x+64)/(x-1)^4 ogf] A016899 9.71625 [-(729+1843*x+x^3+427*x^2)/(x-1)/(x^3+212*x^2+473*x+64) lgdogf] A016900 5.24893 [-(x^4+1291*x^3+8171*x^2+5281*x+256)/(x-1)^5 ogf] A016900 6.88637 [-(6561+37466*x+x^4+2586*x^3+28386*x^2)/(x-1)/(x^4+1291*x^3+8171*x^2+5281*x+256) lgdogf] A016901 4.03745 [(x^5+7770*x^4+114410*x^3+198890*x^2+52905*x+1024)/(x-1)^6 ogf] A016902 3.29650 [-(x^6+46649*x^5+1444990*x^4+5356030*x^3+3895465*x^2+502769*x+4096)/(x-1)^7 ogf] A016909 11.8242 [-2*(6*x-1)*(27*x-8)/(-1+4*x)/(3*x-1)/(9*x-1) lgdogf] A016909 12.9714 [-1/(4*x-1)/(3*x-1)/(9*x-1) ogf] A016909 4.46914 [{a(n+3)-16*a(n+2)+75*a(n+1)-108*a(n),a(0)=1,a(1)=16,a(2)=181} ogf] A016909 4.74847 [(167791*f(x)-92016)*(108*f(x)*x^3-75*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A016910 16.3528 [-36*x*(x+1)/(x-1)^3 ogf] A016910 28.5924 [-2*(x+2)/(x-1)/(x+1) lgdogf] A016910 45.6799 [[4-x] ogf_with_Euler_transform] A016910 8.46331 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=36,a(2)=144} ogf] A016910 8.85154 [(f(x)+9)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+36*x) ogf] A016911 22.9648 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A016911 3.65282 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=216,a(2)=1728,a(3)=5832} ogf] A016911 5.03497 [-(55*f(x)+19566)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-864*x^2+f(x)-216*x) ogf] A016911 9.43261 [216*x*(x^2+4*x+1)/(x-1)^4 ogf] A016912 11.7065 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A016912 5.32836 [-1296*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A016913 4.10852 [7776*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A016914 3.24304 [-46656*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A016914 6.26104 [-2*(32+473*x+718*x^3+1208*x^2+88*x^4+x^5)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A016921 10.2106 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A016921 18.6061 [(5*x+1)/(x-1)^2 ogf] A016921 23.4620 [-1/2*(-1-2*x+(1+24*x)^(1/2))/(-5+x) revogf] A016921 37.3260 [-(5*x+7)/(5*x+1)/(x-1) lgdogf] A016921 9.62383 [(12*f(x)+37)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-1) ogf] A016922 12.7061 [-(25*x^2+46*x+1)/(x-1)^3 ogf] A016922 14.2962 [-(49+142*x+25*x^2)/(x-1)/(25*x^2+46*x+1) lgdogf] A016922 6.67072 [(1506*f(x)-41521)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+46*x+1) ogf] A016922 6.96076 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=49,a(2)=169} ogf] A016923 3.53038 [(117248*f(x)+46960811)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-831*x^2+f(x)-339*x-1) ogf] A016923 6.59289 [(125*x^3+831*x^2+339*x+1)/(x-1)^4 ogf] A016923 8.61829 [-(343+2679*x+125*x^3+2037*x^2)/(x-1)/(125*x^3+831*x^2+339*x+1) lgdogf] A016924 5.20897 [-(625*x^4+11516*x^3+16566*x^2+2396*x+1)/(x-1)^5 ogf] A016924 6.25233 [-(2401+42716*x+25532*x^3+84246*x^2+625*x^4)/(x-1)/(625*x^4+11516*x^3+16566*x^2+2396*x+1) lgdogf] A016925 3.99916 [(3125*x^5+142301*x^4+500426*x^3+270466*x^2+16801*x+1)/(x-1)^6 ogf] A016926 3.17873 [-(15625*x^6+1662186*x^5+12064767*x^4+15728812*x^3+4003287*x^2+117642*x+1)/(x-1)^7 ogf] A016933 12.9761 [-f(x)*x^2+2*f(x)*x-f(x)+4*x+2 ogf] A016933 18.1666 [2*(2*x+1)/(x-1)^2 ogf] A016933 29.6839 [-(-1-x+(6*x+1)^(1/2))/(x-4) revogf] A016933 36.4303 [-2*(x+2)/(1+2*x)/(x-1) lgdogf] A016933 9.96945 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=8} ogf] A016934 15.5490 [-2*(x+8)*(1+2*x)/(x-1)/(4*x^2+13*x+1) lgdogf] A016934 4.95105 [(897*f(x)-28063)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+52*x+4) ogf] A016934 5.12327 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=64,a(2)=196} ogf] A016934 9.35200 [-4*(4*x^2+13*x+1)/(x-1)^3 ogf] A016935 3.5533 [-(2227*f(x)+999576)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-744*x^2+f(x)-480*x-8) ogf] A016935 6.67329 [8*(8*x^3+93*x^2+60*x+1)/(x-1)^4 ogf] A016935 9.71517 [-2*(32+183*x+4*x^3+105*x^2)/(x-1)/(8*x^3+93*x^2+60*x+1) lgdogf] A016936 5.26621 [-16*(16*x^4+545*x^3+1131*x^2+251*x+1)/(x-1)^5 ogf] A016936 7.13317 [-2*(128+1633*x+577*x^3+8*x^4+2514*x^2)/(x-1)/(16*x^4+545*x^3+1131*x^2+251*x+1) lgdogf] A016937 4.04311 [32*(32*x^5+2933*x^4+14498*x^3+10678*x^2+1018*x+1)/(x-1)^6 ogf] A016937 5.04761 [-2*(512+13223*x+16*x^5+27613*x^3+3013*x^4+43103*x^2)/(x-1)/(32*x^5+2933*x^4+14498*x^3+10678*x^2+1018*x+1) lgdogf] A016938 3.25294 [-64*(64*x^6+15177*x^5+154113*x^4+262438*x^3+88998*x^2+4089*x+1)/(x-1)^7 ogf] A016945 12.9761 [-f(x)*x^2+2*f(x)*x-f(x)+3*x+3 ogf] A016945 18.1666 [3*(x+1)/(x-1)^2 ogf] A016945 22.8990 [-1/2*(-3-2*x+(9+24*x)^(1/2))/(-3+x) revogf] A016945 38.7501 [[3-x] ogf_with_Euler_transform] A016945 44.5259 [-(x+3)/(x-1)/(x+1) lgdogf] A016945 9.96945 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=9} ogf] A016946 12.9706 [-9*(x^2+6*x+1)/(x-1)^3 ogf] A016946 18.5585 [-(9+14*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A016946 6.99283 [(13*f(x)-462)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+54*x+9) ogf] A016946 6.99283 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=81,a(2)=225} ogf] A016947 11.4373 [-(27+115*x+x^3+49*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A016947 5.1758 [-(64*f(x)+31973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-621*x^2+f(x)-621*x-27) ogf] A016947 6.63166 [27*(x+1)*(x^2+22*x+1)/(x-1)^4 ogf] A016948 4.97936 [-81*(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^5 ogf] A016948 8.00943 [-(81+764*x+x^4+156*x^3+918*x^2)/(x-1)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A016949 4.06508 [243*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6 ogf] A016949 6.12579 [-(243+4549*x+x^5+5994*x^3+479*x^4+11774*x^2)/(x-1)/(1+x)/(x^4+236*x^3+1446*x^2+236*x+1) lgdogf] A016950 3.30541 [-729*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^7 ogf] A016957 18.3447 [2*(x+2)/(x-1)^2 ogf] A016957 28.9100 [-(-2-x+(4+6*x)^(1/2))/(-2+x) revogf] A016957 44.9711 [-(x+5)/(x+2)/(x-1) lgdogf] A016957 9.59896 [(3*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-4) ogf] A016957 9.94590 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=10} ogf] A016958 16.9618 [-(25+28*x+x^2)/(x-1)/(x^2+13*x+4) lgdogf] A016958 4.77897 [(1221*f(x)-48929)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+52*x+16) ogf] A016958 4.90150 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=100,a(2)=256} ogf] A016958 9.10279 [-4*(x^2+13*x+4)/(x-1)^3 ogf] A016959 10.9442 [-(125+399*x+x^3+123*x^2)/(x-1)/(x^3+60*x^2+93*x+8) lgdogf] A016959 3.70917 [(3173*f(x)+1752734)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-480*x^2+f(x)-744*x-64) ogf] A016959 6.83030 [8*(x^3+60*x^2+93*x+8)/(x-1)^4 ogf] A016960 5.01782 [-16*(x^4+251*x^3+1131*x^2+545*x+16)/(x-1)^5 ogf] A016960 7.35759 [-(625+4442*x+x^4+506*x^3+4146*x^2)/(x-1)/(x^4+251*x^3+1131*x^2+545*x+16) lgdogf] A016961 3.86101 [32*(x^5+1018*x^4+10678*x^3+14498*x^2+2933*x+32)/(x-1)^6 ogf] A016961 5.10924 [-(3125+43661*x+x^5+2041*x^4+36106*x^3+90026*x^2)/(x-1)/(x^5+1018*x^4+10678*x^3+14498*x^2+2933*x+32) lgdogf] A016962 3.37537 [-64*(x^6+4089*x^5+88998*x^4+262438*x^3+154113*x^2+15177*x+64)/(x-1)^7 ogf] A016969 10.1846 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=11} ogf] A016969 18.7850 [(x+5)/(x-1)^2 ogf] A016969 23.6921 [-1/2*(-5-2*x+(25+24*x)^(1/2))/(x-1) revogf] A016969 43.6433 [-(x+11)/(x+5)/(x-1) lgdogf] A016969 9.71637 [(12*f(x)+61)*(f(x)*x^2-2*f(x)*x+f(x)-x-5) ogf] A016970 12.0676 [-(x^2+46*x+25)/(x-1)^3 ogf] A016970 15.9926 [-(121+94*x+x^2)/(x-1)/(x^2+46*x+25) lgdogf] A016970 6.2831 [(2802*f(x)-125063)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+46*x+25) ogf] A016970 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=121,a(2)=289} ogf] A016971 3.63155 [(238720*f(x)+145075143)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-339*x^2+f(x)-831*x-125) ogf] A016971 6.82558 [(x^3+339*x^2+831*x+125)/(x-1)^4 ogf] A016971 9.88656 [-(1331+3171*x+x^3+681*x^2)/(x-1)/(x^3+339*x^2+831*x+125) lgdogf] A016972 5.01782 [-(x^4+2396*x^3+16566*x^2+11516*x+625)/(x-1)^5 ogf] A016972 6.46032 [-(14641+79196*x+x^4+4796*x^3+56886*x^2)/(x-1)/(x^4+2396*x^3+16566*x^2+11516*x+625) lgdogf] A016973 3.86101 [(x^5+16801*x^4+270466*x^3+500426*x^2+142301*x+3125)/(x-1)^6 ogf] A016974 3.05999 [-(x^6+117642*x^5+4003287*x^4+15728812*x^3+12064767*x^2+1662186*x+15625)/(x-1)^7 ogf] A016981 12.0753 [-(17-164*x+360*x^2)/(-1+4*x)/(3*x-1)/(10*x-1) lgdogf] A016981 13.5354 [-1/(4*x-1)/(3*x-1)/(10*x-1) ogf] A016981 4.66345 [{a(n+3)-17*a(n+2)+82*a(n+1)-120*a(n),a(0)=1,a(1)=17,a(2)=207} ogf] A016981 4.78406 [(14491061*f(x)-7241400)*(120*f(x)*x^3-82*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A016982 10.0448 [-49*x*(x+1)/(x-1)^3 ogf] A016982 27.9625 [[4-x] ogf_with_Euler_transform] A016982 29.1122 [-2*(x+2)/(x-1)/(x+1) lgdogf] A016982 5.19861 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=49,a(2)=196} ogf] A016982 6.81196 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+49*x ogf] A016983 24.4768 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A016983 3.89046 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=343,a(2)=2744,a(3)=9261} ogf] A016983 5.25598 [-(660*f(x)+372841)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-343*x^3-4*f(x)*x-1372*x^2+f(x)-343*x) ogf] A016983 9.92068 [343*x*(x^2+4*x+1)/(x-1)^4 ogf] A016984 11.1416 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A016984 5.07420 [-2401*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A016985 5.55837 [16807*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A016985 8.28973 [-2*(16+131*x+41*x^3+x^4+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A016986 3.32594 [-117649*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A016986 6.50589 [-2*(32+473*x+x^5+1208*x^2+718*x^3+88*x^4)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A016993 10.0672 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A016993 18.3447 [(6*x+1)/(x-1)^2 ogf] A016993 23.1280 [-1/2*(-1-2*x+(1+28*x)^(1/2))/(-6+x) revogf] A016993 33.7284 [-2*(4+3*x)/(6*x+1)/(x-1) lgdogf] A016993 9.59896 [(7*f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-1) ogf] A016994 14.2011 [-2*(32+97*x+18*x^2)/(x-1)/(36*x^2+61*x+1) lgdogf] A016994 4.84639 [(37268*f(x)-1374603)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+61*x+1) ogf] A016994 5.18354 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=64,a(2)=225} ogf] A016994 9.46202 [-(36*x^2+61*x+1)/(x-1)^3 ogf] A016995 3.59028 [(158249*f(x)+98978389)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-1333*x^2+f(x)-508*x-1) ogf] A016995 6.66768 [(216*x^3+1333*x^2+508*x+1)/(x-1)^4 ogf] A016995 8.41861 [-2*(256+2095*x+108*x^3+1657*x^2)/(x-1)/(216*x^3+1333*x^2+508*x+1) lgdogf] A016996 4.94385 [-(1296*x^4+22081*x^3+30155*x^2+4091*x+1)/(x-1)^5 ogf] A016996 5.78793 [-2*(2048+38337*x+648*x^4+24673*x^3+78354*x^2)/(x-1)/(1296*x^4+22081*x^3+30155*x^2+4091*x+1) lgdogf] A016997 3.76819 [(7776*x^5+324637*x^4+1088882*x^3+562782*x^2+32762*x+1)/(x-1)^6 ogf] A016998 3.31693 [-(46656*x^6+4500217*x^5+31192113*x^4+39150518*x^3+9555638*x^2+262137*x+1)/(x-1)^7 ogf] A017005 10.1161 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=9} ogf] A017005 18.4337 [(5*x+2)/(x-1)^2 ogf] A017005 29.0531 [-(-1-x+(1+7*x)^(1/2))/(-5+x) revogf] A017005 36.9767 [-(9+5*x)/(5*x+2)/(x-1) lgdogf] A017005 9.53469 [(14*f(x)+53)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-2) ogf] A017006 14.6428 [-(81+188*x+25*x^2)/(x-1)/(25*x^2+69*x+4) lgdogf] A017006 4.87457 [(43428*f(x)-1782637)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+69*x+4) ogf] A017006 5.21368 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=81,a(2)=256} ogf] A017006 9.51703 [-(25*x^2+69*x+4)/(x-1)^3 ogf] A017007 3.54279 [(2250612*f(x)+1553776907)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-1228*x^2+f(x)-697*x-8) ogf] A017007 6.70600 [(125*x^3+1228*x^2+697*x+8)/(x-1)^4 ogf] A017007 8.73696 [-(729+4547*x+125*x^3+2831*x^2)/(x-1)/(125*x^3+1228*x^2+697*x+8) lgdogf] A017008 4.99972 [-(625*x^4+17611*x^3+32891*x^2+6481*x+16)/(x-1)^5 ogf] A017008 5.91990 [-(6561+91706*x+625*x^4+37722*x^3+151506*x^2)/(x-1)/(625*x^4+17611*x^3+32891*x^2+6481*x+16) lgdogf] A017009 3.80424 [(3125*x^5+230082*x^4+1029982*x^3+694762*x^2+58857*x+32)/(x-1)^6 ogf] A017010 4.25899 [-(15625*x^6+2876609*x^5+26472118*x^4+41753398*x^3+13058473*x^2+530993*x+64)/(x-1)^7 ogf] A017011 3.45682 [(78125*x^7+35206808*x^6+609404775*x^5+1879751888*x^4+1391257763*x^3+230175288*x^2+4781945*x+128)/(x-1)^8 ogf] A017017 10.0425 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=10} ogf] A017017 18.5228 [(4*x+3)/(x-1)^2 ogf] A017017 23.3570 [-1/2*(-3-2*x+(9+28*x)^(1/2))/(-4+x) revogf] A017017 34.0623 [-2*(5+2*x)/(4*x+3)/(x-1) lgdogf] A017017 9.69215 [(7*f(x)+29)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-3) ogf] A017018 14.7294 [-2*(50+89*x+8*x^2)/(x-1)/(16*x^2+73*x+9) lgdogf] A017018 4.90275 [(50036*f(x)-2292831)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+73*x+9) ogf] A017018 5.19861 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=100,a(2)=289} ogf] A017018 9.57205 [-(16*x^2+73*x+9)/(x-1)^3 ogf] A017019 3.62892 [(660387*f(x)+500822593)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-1075*x^2+f(x)-892*x-27) ogf] A017019 6.78264 [(64*x^3+1075*x^2+892*x+27)/(x-1)^4 ogf] A017019 8.70103 [-2*(500+2413*x+32*x^3+1171*x^2)/(x-1)/(64*x^3+1075*x^2+892*x+27) lgdogf] A017020 5.02765 [-(256*x^4+13361*x^3+34331*x^2+9595*x+81)/(x-1)^5 ogf] A017020 5.88830 [-2*(5000+53521*x+128*x^4+13873*x^3+71538*x^2)/(x-1)/(256*x^4+13361*x^3+34331*x^2+9595*x+81) lgdogf] A017021 4.51562 [(1024*x^5+154907*x^4+938622*x^3+823502*x^2+98542*x+243)/(x-1)^6 ogf] A017022 3.03983 [-(4096*x^6+1742889*x^5+21697313*x^4+43114478*x^3+17152878*x^2+994897*x+729)/(x-1)^7 ogf] A017029 10.0425 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=11} ogf] A017029 18.5228 [(3*x+4)/(x-1)^2 ogf] A017029 29.1963 [-(-2-x+(4+7*x)^(1/2))/(-3+x) revogf] A017029 35.5433 [-(11+3*x)/(3*x+4)/(x-1) lgdogf] A017029 9.58075 [(14*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-4) ogf] A017030 14.2511 [-(121+164*x+9*x^2)/(x-1)/(9*x^2+73*x+16) lgdogf] A017030 4.74616 [(57092*f(x)-2911137)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+73*x+16) ogf] A017030 4.98956 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=121,a(2)=324} ogf] A017030 9.26632 [-(9*x^2+73*x+16)/(x-1)^3 ogf] A017031 3.60596 [(1024604*f(x)+849229071)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-892*x^2+f(x)-1075*x-64) ogf] A017031 6.78264 [(27*x^3+892*x^2+1075*x+64)/(x-1)^4 ogf] A017031 8.83915 [-(1331+5009*x+27*x^3+1865*x^2)/(x-1)/(64+1075*x+892*x^2+27*x^3) lgdogf] A017032 5.56350 [-(14641+122106*x+81*x^4+19514*x^3+131778*x^2)/(x-1)/(81*x^4+9595*x^3+34331*x^2+13361*x+256) lgdogf] A017032 6.99445 [-(81*x^4+9595*x^3+34331*x^2+13361*x+256)/(x-1)^5 ogf] A017033 3.86799 [(243*x^5+98542*x^4+823502*x^3+938622*x^2+154907*x+1024)/(x-1)^6 ogf] A017034 3.07323 [-(729*x^6+994897*x^5+17152878*x^4+43114478*x^3+21697313*x^2+1742889*x+4096)/(x-1)^7 ogf] A017041 10.0425 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=12} ogf] A017041 18.5228 [(2*x+5)/(x-1)^2 ogf] A017041 22.7082 [-1/2*(-5-2*x+(25+28*x)^(1/2))/(-2+x) revogf] A017041 37.1589 [-2*(6+x)/(5+2*x)/(x-1) lgdogf] A017041 9.69215 [(7*f(x)+37)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-5) ogf] A017042 14.2511 [-2*(72+73*x+2*x^2)/(x-1)/(4*x^2+69*x+25) lgdogf] A017042 4.74616 [(64596*f(x)-3638611)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+69*x+25) ogf] A017042 4.98956 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=144,a(2)=361} ogf] A017042 9.26632 [-(4*x^2+69*x+25)/(x-1)^3 ogf] A017043 3.66993 [(887355*f(x)+800225159)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-697*x^2+f(x)-1228*x-125) ogf] A017043 6.85929 [(8*x^3+697*x^2+1228*x+125)/(x-1)^4 ogf] A017043 9.08555 [-2*(864+2539*x+4*x^3+709*x^2)/(x-1)/(8*x^3+697*x^2+1228*x+125) lgdogf] A017044 4.75469 [-(16*x^4+6481*x^3+32891*x^2+17611*x+625)/(x-1)^5 ogf] A017044 5.68852 [-2*(10368+68113*x+8*x^4+6513*x^3+59058*x^2)/(x-1)/(16*x^4+6481*x^3+32891*x^2+17611*x+625) lgdogf] A017045 3.91050 [(32*x^5+58857*x^4+694762*x^3+1029982*x^2+230082*x+3125)/(x-1)^6 ogf] A017046 3.10664 [-(64*x^6+530993*x^5+13058473*x^4+41753398*x^3+26472118*x^2+2876609*x+15625)/(x-1)^7 ogf] A017053 10.0425 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=13} ogf] A017053 18.5228 [(x+6)/(x-1)^2 ogf] A017053 30.2776 [-(-3-x+(9+7*x)^(1/2))/(x-1) revogf] A017053 43.0261 [-(x+13)/(6+x)/(x-1) lgdogf] A017053 9.58075 [(14*f(x)+85)*(f(x)*x^2-2*f(x)*x+f(x)-x-6) ogf] A017054 15.8345 [-(169+124*x+x^2)/(x-1)/(x^2+61*x+36) lgdogf] A017054 4.74616 [(72548*f(x)-4470453)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+61*x+36) ogf] A017054 4.98956 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=169,a(2)=400} ogf] A017054 9.26632 [-(x^2+61*x+36)/(x-1)^3 ogf] A017055 3.62377 [(4070388*f(x)+3980895343)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-508*x^2+f(x)-1333*x-216) ogf] A017055 6.85929 [(x^3+508*x^2+1333*x+216)/(x-1)^4 ogf] A017055 9.71214 [-(2197+5015*x+x^3+1019*x^2)/(x-1)/(x^3+508*x^2+1333*x+216) lgdogf] A017056 4.78217 [-(x^4+4091*x^3+30155*x^2+22081*x+1296)/(x-1)^5 ogf] A017056 5.99146 [-(28561+148634*x+x^4+8186*x^3+102738*x^2)/(x-1)/(x^4+4091*x^3+30155*x^2+22081*x+1296) lgdogf] A017057 3.93947 [(x^5+32762*x^4+562782*x^3+1088882*x^2+324637*x+7776)/(x-1)^6 ogf] A017058 3.16143 [-(x^6+262137*x^5+9555638*x^4+39150518*x^3+31192113*x^2+4500217*x+46656)/(x-1)^7 ogf] A017065 12.1396 [-2*(9-89*x+198*x^2)/(11*x-1)/(3*x-1)/(-1+4*x) lgdogf] A017065 13.6059 [-1/(11*x-1)/(3*x-1)/(4*x-1) ogf] A017065 4.68774 [{a(n+3)-18*a(n+2)+89*a(n+1)-132*a(n),a(0)=1,a(1)=18,a(2)=235} ogf] A017065 4.68775 [(722597129*f(x)-331247664)*(132*f(x)*x^3-89*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A017066 12.0261 [-64*x*(x+1)/(x-1)^3 ogf] A017066 33.5219 [[4-x] ogf_with_Euler_transform] A017066 34.9393 [-2*(x+2)/(x-1)/(x+1) lgdogf] A017066 6.22401 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=64,a(2)=256} ogf] A017066 6.45033 [(f(x)+16)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)+64*x) ogf] A017067 17.4021 [-2*(4+7*x+x^2)/(x-1)/(1+x^2+4*x) lgdogf] A017067 3.7518 [-(165*f(x)+139136)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-512*x^3-4*f(x)*x-2048*x^2+f(x)-512*x) ogf] A017067 7.08154 [512*x*(x^2+4*x+1)/(x-1)^4 ogf] A017068 11.4008 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A017068 5.19018 [-4096*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A017069 3.94142 [32768*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A017070 3.09577 [-262144*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A017070 6.12708 [-2*(32+473*x+718*x^3+1208*x^2+88*x^4+x^5)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A017077 10.1649 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A017077 18.5228 [(7*x+1)/(x-1)^2 ogf] A017077 23.3570 [-1/2*(-1-2*x+(1+32*x)^(1/2))/(-7+x) revogf] A017077 37.1589 [-(9+7*x)/(7*x+1)/(x-1) lgdogf] A017077 9.58075 [(16*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-1) ogf] A017078 14.1652 [-(81+254*x+49*x^2)/(x-1)/(49*x^2+78*x+1) lgdogf] A017078 4.79623 [(6816*f(x)-324211)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+78*x+1) ogf] A017078 5.04647 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=81,a(2)=289} ogf] A017078 9.21181 [-(49*x^2+78*x+1)/(x-1)^3 ogf] A017079 3.62892 [(452736*f(x)+417388951)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-343*x^3-4*f(x)*x-2003*x^2+f(x)-725*x-1) ogf] A017079 6.78264 [(343*x^3+2003*x^2+725*x+1)/(x-1)^4 ogf] A017079 8.83915 [-(729+6181*x+343*x^3+5035*x^2)/(x-1)/(343*x^3+2003*x^2+725*x+1) lgdogf] A017080 5.05558 [-(2401*x^4+38620*x^3+50726*x^2+6556*x+1)/(x-1)^5 ogf] A017081 3.81866 [(16807*x^5+658533*x^4+2132198*x^3+1065578*x^2+59043*x+1)/(x-1)^6 ogf] A017082 3.03823 [-(117649*x^6+10567082*x^5+70772143*x^4+86337868*x^3+20417503*x^2+531434*x+1)/(x-1)^7 ogf] A017089 18.1720 [2*(3*x+1)/(x-1)^2 ogf] A017089 28.6352 [-(-1-x+(1+8*x)^(1/2))/(-6+x) revogf] A017089 36.4448 [-(5+3*x)/(3*x+1)/(x-1) lgdogf] A017089 9.50862 [(4*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-2) ogf] A017089 9.85230 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=10} ogf] A017090 15.4065 [-(25+62*x+9*x^2)/(x-1)/(9*x^2+22*x+1) lgdogf] A017090 5.03257 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=100,a(2)=324} ogf] A017090 6.94377 [(244*f(x)-12729)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+88*x+4) ogf] A017090 9.26632 [-4*(9*x^2+22*x+1)/(x-1)^3 ogf] A017091 5.4855 [(872*f(x)+877077)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-1880*x^2+f(x)-968*x-8) ogf] A017091 6.82096 [8*(27*x^3+235*x^2+121*x+1)/(x-1)^4 ogf] A017091 9.65664 [-(125+833*x+27*x^3+551*x^2)/(x-1)/(27*x^3+235*x^2+121*x+1) lgdogf] A017092 4.73870 [-16*(81*x^4+1996*x^3+3446*x^2+620*x+1)/(x-1)^5 ogf] A017092 6.36593 [-(625+9372*x+81*x^4+4316*x^3+16326*x^2)/(x-1)/(81*x^4+1996*x^3+3446*x^2+620*x+1) lgdogf] A017093 3.55702 [32*(243*x^5+15349*x^4+63854*x^3+40314*x^2+3119*x+1)/(x-1)^6 ogf] A017094 3.08993 [-64*(729*x^6+112546*x^5+963327*x^4+1434812*x^3+422087*x^2+15618*x+1)/(x-1)^7 ogf] A017101 18.1720 [(5*x+3)/(x-1)^2 ogf] A017101 22.9081 [-1/2*(-3-2*x+(9+32*x)^(1/2))/(-5+x) revogf] A017101 34.8602 [-(11+5*x)/(5*x+3)/(x-1) lgdogf] A017101 9.39933 [(16*f(x)+73)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-3) ogf] A017101 9.85230 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=11} ogf] A017102 11.8071 [-(25*x^2+94*x+9)/(x-1)^3 ogf] A017102 17.7904 [-(121+238*x+25*x^2)/(x-1)/(25*x^2+94*x+9) lgdogf] A017102 6.14751 [(8864*f(x)-509121)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+94*x+9) ogf] A017102 6.41250 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=121,a(2)=361} ogf] A017103 3.57875 [(4248192*f(x)+4645473083)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-1697*x^2+f(x)-1223*x-27) ogf] A017103 6.69977 [(125*x^3+1697*x^2+1223*x+27)/(x-1)^4 ogf] A017103 8.53491 [-(1331+7063*x+125*x^3+3769*x^2)/(x-1)/(125*x^3+1697*x^2+1223*x+27) lgdogf] A017104 4.73870 [-(625*x^4+25436*x^3+57926*x^2+14236*x+81)/(x-1)^5 ogf] A017104 5.47607 [-(14641+172796*x+625*x^4+53372*x^3+250086*x^2)/(x-1)/(625*x^4+25436*x^3+57926*x^2+14236*x+81) lgdogf] A017105 4.50437 [(3125*x^5+352543*x^4+1903218*x^3+1513438*x^2+159593*x+243)/(x-1)^6 ogf] A017106 3.06965 [-(15625*x^6+4717434*x^5+52306583*x^4+95276588*x^3+34660263*x^2+1766458*x+729)/(x-1)^7 ogf] A017113 10.7154 [(4*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-4) ogf] A017113 11.1027 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=12} ogf] A017113 20.4783 [4*(x+1)/(x-1)^2 ogf] A017113 30.1738 [-(-2-x+2*(1+2*x)^(1/2))/(-4+x) revogf] A017113 43.6980 [[3-x] ogf_with_Euler_transform] A017113 50.2897 [-(x+3)/(x-1)/(x+1) lgdogf] A017114 17.2186 [-(9+14*x+x^2)/(-1+x)/(x^2+6*x+1) lgdogf] A017114 4.82563 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=144,a(2)=400} ogf] A017114 7.06514 [(39*f(x)-2464)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+96*x+16) ogf] A017114 8.82186 [-16*(x^2+6*x+1)/(x-1)^3 ogf] A017115 11.3598 [-(27+115*x+x^3+49*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A017115 5.56828 [(27*f(x)+31973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-1472*x^2+f(x)-1472*x-64) ogf] A017115 6.43088 [64*(x+1)*(x^2+22*x+1)/(x-1)^4 ogf] A017116 4.74998 [-256*(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^5 ogf] A017116 7.92716 [-(81+764*x+x^4+156*x^3+918*x^2)/(x-1)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A017117 3.54151 [1024*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6 ogf] A017117 5.56872 [-(243+4549*x+x^5+479*x^4+5994*x^3+11774*x^2)/(x-1)/(x+1)/(x^4+236*x^3+1446*x^2+236*x+1) lgdogf] A017118 4.20715 [-4096*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^7 ogf] A017119 4.21182 [16384*(x+1)*(x^6+2178*x^5+58479*x^4+201244*x^3+58479*x^2+2178*x+1)/(x-1)^8 ogf] A017126 13.4389 [-(169+206*x+9*x^2)/(-1+x)/(9*x^2+94*x+25) lgdogf] A017126 4.62786 [(11168*f(x)-772863)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+94*x+25) ogf] A017126 4.82563 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=169,a(2)=441} ogf] A017126 8.96189 [-(9*x^2+94*x+25)/(x-1)^3 ogf] A017127 3.41493 [(1846400*f(x)+2358934223)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-1223*x^2+f(x)-1697*x-125) ogf] A017127 6.39306 [(27*x^3+1223*x^2+1697*x+125)/(x-1)^4 ogf] A017127 8.26293 [-(2197+7537*x+27*x^3+2527*x^2)/(x-1)/(27*x^3+1223*x^2+1697*x+125) lgdogf] A017128 4.79316 [-(81*x^4+14236*x^3+57926*x^2+25436*x+625)/(x-1)^5 ogf] A017128 5.60071 [-(28561+217596*x+81*x^4+28796*x^3+216486*x^2)/(x-1)/(81*x^4+14236*x^3+57926*x^2+25436*x+625) lgdogf] A017129 3.56699 [(243*x^5+159593*x^4+1513438*x^3+1903218*x^2+352543*x+3125)/(x-1)^6 ogf] A017130 4.25551 [-(729*x^6+1766458*x^5+34660263*x^4+95276588*x^3+52306583*x^2+4717434*x+15625)/(x-1)^7 ogf] A017137 18.2607 [2*(x+3)/(x-1)^2 ogf] A017137 28.7776 [-(-3-x+(9+8*x)^(1/2))/(-2+x) revogf] A017137 44.7652 [-(7+x)/(x+3)/(x-1) lgdogf] A017137 9.55501 [(4*f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-6) ogf] A017137 9.90036 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=14} ogf] A017138 16.2057 [-(49+46*x+x^2)/(-1+x)/(x^2+22*x+9) lgdogf] A017138 4.74453 [(388*f(x)-29223)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+88*x+36) ogf] A017138 4.82563 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=196,a(2)=484} ogf] A017138 8.96189 [-4*(x^2+22*x+9)/(x-1)^3 ogf] A017139 12.7630 [-(343+947*x+245*x^2+x^3)/(x-1)/(x^3+121*x^2+235*x+27) lgdogf] A017139 4.45011 [(48984*f(x)+67307119)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-968*x^2+f(x)-1880*x-216) ogf] A017139 8.21149 [8*(x^3+121*x^2+235*x+27)/(x-1)^4 ogf] A017140 4.82040 [-16*(x^4+620*x^3+3446*x^2+1996*x+81)/(x-1)^5 ogf] A017140 6.73067 [-(2401+14876*x+x^4+1244*x^3+12198*x^2)/(x-1)/(x^4+620*x^3+3446*x^2+1996*x+81) lgdogf] A017141 3.61907 [32*(x^5+3119*x^4+40314*x^3+63854*x^2+15349*x+243)/(x-1)^6 ogf] A017142 4.35750 [-64*(x^6+15618*x^5+422087*x^4+1434812*x^3+963327*x^2+112546*x+729)/(x-1)^7 ogf] A017149 2.38297 [(16*f(x)+113)*(f(x)*x^2-2*f(x)*x+f(x)-x-7) ogf] A017149 4.66002 [(x+7)/(x-1)^2 ogf] A017149 5.64909 [-1/2*(-7-2*x+(49+32*x)^(1/2))/(x-1) revogf] A017149 9.88591 [-(15+x)/(x+7)/(-1+x) lgdogf] A017150 14.8917 [-(225+158*x+x^2)/(-1+x)/(x^2+78*x+49) lgdogf] A017150 4.59023 [(13728*f(x)-1116493)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+78*x+49) ogf] A017150 4.82563 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=225,a(2)=529} ogf] A017150 8.96189 [-(x^2+78*x+49)/(x-1)^3 ogf] A017151 3.476 [(7060608*f(x)+10411162183)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-725*x^2+f(x)-2003*x-343) ogf] A017151 6.62094 [(x^3+725*x^2+2003*x+343)/(x-1)^4 ogf] A017151 9.36977 [-(3375+7459*x+x^3+1453*x^2)/(x-1)/(x^3+725*x^2+2003*x+343) lgdogf] A017152 4.86462 [-(x^4+6556*x^3+50726*x^2+38620*x+2401)/(x-1)^5 ogf] A017152 6.02629 [-(50625+255932*x+x^4+13116*x^3+171846*x^2)/(x-1)/(x^4+6556*x^3+50726*x^2+38620*x+2401) lgdogf] A017153 3.63974 [(x^5+59043*x^4+1065578*x^3+2132198*x^2+658533*x+16807)/(x-1)^6 ogf] A017154 4.39143 [-(x^6+531434*x^5+20417503*x^4+86337868*x^3+70772143*x^2+10567082*x+117649)/(x-1)^7 ogf] A017161 12.5076 [-1/(3*x-1)/(12*x-1)/(4*x-1) ogf] A017161 4.30934 [{a(n+3)-19*a(n+2)+96*a(n+1)-144*a(n),a(0)=1,a(1)=19,a(2)=265} ogf] A017161 4.88392 [(26*f(x)-11)*(144*f(x)*x^3-96*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A017162 27.3716 [[4-x] ogf_with_Euler_transform] A017162 28.5021 [-2*(x+2)/(x-1)/(x+1) lgdogf] A017162 5.09074 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=81,a(2)=324} ogf] A017162 5.27585 [(4*f(x)+81)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+81*x^2-f(x)+81*x) ogf] A017162 9.83634 [-81*x*(x+1)/(x-1)^3 ogf] A017163 16.4861 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A017163 3.55689 [-(220*f(x)+264141)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-729*x^3-4*f(x)*x-2916*x^2+f(x)-729*x) ogf] A017163 6.71362 [729*x*(x^2+4*x+1)/(x-1)^4 ogf] A017164 10.7719 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(1+x^2+10*x) lgdogf] A017164 4.90730 [-6561*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A017165 3.59437 [59049*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A017165 7.27917 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A017166 3.09186 [-531441*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A017166 6.19554 [-2*(32+473*x+x^5+718*x^3+88*x^4+1208*x^2)/(x-1)/(1+x)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A017173 18.3493 [(8*x+1)/(x-1)^2 ogf] A017173 23.1361 [-1/2*(-1-2*x+(1+36*x)^(1/2))/(-8+x) revogf] A017173 33.7401 [-2*(4*x+5)/(8*x+1)/(x-1) lgdogf] A017173 9.60139 [(9*f(x)+41)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-1) ogf] A017173 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A017174 12.8138 [-2*(50+161*x+32*x^2)/(-1+x)/(64*x^2+97*x+1) lgdogf] A017174 4.59023 [(76428*f(x)-4556377)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)+97*x+1) ogf] A017174 4.86723 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=100,a(2)=361} ogf] A017174 8.96189 [-(64*x^2+97*x+1)/(x-1)^3 ogf] A017175 3.48169 [(138603*f(x)+180156811)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-512*x^3-4*f(x)*x-2865*x^2+f(x)-996*x-1) ogf] A017175 6.50744 [(512*x^3+2865*x^2+996*x+1)/(x-1)^4 ogf] A017175 8.21404 [-2*(500+4359*x+256*x^3+3633*x^2)/(x-1)/(512*x^3+2865*x^2+996*x+1) lgdogf] A017176 4.80966 [-(4096*x^4+63041*x^3+80331*x^2+9995*x+1)/(x-1)^5 ogf] A017176 5.44968 [-2*(5000+100321*x+2048*x^4+71233*x^3+215058*x^2)/(x-1)/(4096*x^4+63041*x^3+80331*x^2+9995*x+1) lgdogf] A017177 3.57231 [(32768*x^5+1223249*x^4+3853754*x^3+1876114*x^2+99994*x+1)/(x-1)^6 ogf] A017178 3.06789 [-(262144*x^6+22302561*x^5+145457817*x^4+173569102*x^3+40045902*x^2+999993*x+1)/(x-1)^7 ogf] A017185 18.3493 [(7*x+2)/(x-1)^2 ogf] A017185 28.9201 [-(-1-x+(1+9*x)^(1/2))/(-7+x) revogf] A017185 35.2071 [-(11+7*x)/(7*x+2)/(x-1) lgdogf] A017185 9.49103 [(18*f(x)+85)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-2) ogf] A017185 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=11} ogf] A017186 12.8138 [-(121+316*x+49*x^2)/(-1+x)/(49*x^2+109*x+4) lgdogf] A017186 4.55322 [(86364*f(x)-5583371)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+109*x+4) ogf] A017186 4.86723 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=121,a(2)=400} ogf] A017186 8.82186 [-(49*x^2+109*x+4)/(x-1)^3 ogf] A017187 3.50193 [(90636*f(x)+127347863)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-343*x^3-4*f(x)*x-2724*x^2+f(x)-1299*x-8) ogf] A017187 6.46827 [(343*x^3+2724*x^2+1299*x+8)/(x-1)^4 ogf] A017187 8.26293 [-(1331+9345*x+343*x^3+6477*x^2)/(x-1)/(343*x^3+2724*x^2+1299*x+8) lgdogf] A017188 4.74998 [-(2401*x^4+53531*x^3+86955*x^2+14561*x+16)/(x-1)^5 ogf] A017188 5.36735 [-(14641+232154*x+2401*x^4+116666*x^3+421458*x^2)/(x-1)/(2401*x^4+53531*x^3+86955*x^2+14561*x+16) lgdogf] A017189 3.56699 [(16807*x^5+947734*x^4+3726274*x^3+2234174*x^2+160859*x+32)/(x-1)^6 ogf] A017190 3.06444 [-(117649*x^6+15953673*x^5+129170742*x^4+184023862*x^3+51600417*x^2+1771113*x+64)/(x-1)^7 ogf] A017197 18.3493 [3*(2*x+1)/(x-1)^2 ogf] A017197 22.4934 [-1/2*(-3-2*x+3*(1+4*x)^(1/2))/(-6+x) revogf] A017197 36.8074 [-2*(x+2)/(2*x+1)/(x-1) lgdogf] A017197 9.71435 [(f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-3) ogf] A017197 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=12} ogf] A017198 14.4999 [-2*(x+8)*(2*x+1)/(-1+x)/(4*x^2+13*x+1) lgdogf] A017198 4.66611 [(1196*f(x)-84189)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+117*x+9) ogf] A017198 4.86723 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=144,a(2)=441} ogf] A017198 8.82186 [-9*(4*x^2+13*x+1)/(x-1)^3 ogf] A017199 3.56762 [(2227*f(x)+3373569)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-2511*x^2+f(x)-1620*x-27) ogf] A017199 6.43001 [27*(8*x^3+93*x^2+60*x+1)/(x-1)^4 ogf] A017199 9.82306 [-2*(32+183*x+4*x^3+105*x^2)/(x-1)/(8*x^3+93*x^2+60*x+1) lgdogf] A017200 4.77697 [-81*(16*x^4+545*x^3+1131*x^2+251*x+1)/(x-1)^5 ogf] A017200 6.64438 [-2*(128+1633*x+8*x^4+577*x^3+2514*x^2)/(x-1)/(16*x^4+545*x^3+1131*x^2+251*x+1) lgdogf] A017201 3.58737 [243*(32*x^5+2933*x^4+14498*x^3+10678*x^2+1018*x+1)/(x-1)^6 ogf] A017202 4.14450 [-729*(64*x^6+15177*x^5+154113*x^4+262438*x^3+88998*x^2+4089*x+1)/(x-1)^7 ogf] A017209 18.3493 [(5*x+4)/(x-1)^2 ogf] A017209 28.9201 [-(-2-x+(4+9*x)^(1/2))/(-5+x) revogf] A017209 35.2071 [-(13+5*x)/(5*x+4)/(x-1) lgdogf] A017209 9.49103 [(18*f(x)+97)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-4) ogf] A017209 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=13} ogf] A017210 12.8929 [-(169+292*x+25*x^2)/(x-1)/(25*x^2+121*x+16) lgdogf] A017210 4.50794 [(107964*f(x)-8277919)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+121*x+16) ogf] A017210 4.85470 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=169,a(2)=484} ogf] A017210 8.73846 [-(25*x^2+121*x+16)/(x-1)^3 ogf] A017211 3.27267 [(815988*f(x)+1328607379)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-2244*x^2+f(x)-1941*x-64) ogf] A017211 6.08869 [(125*x^3+2244*x^2+1941*x+64)/(x-1)^4 ogf] A017211 7.62813 [-(2197+10311*x+125*x^3+4863*x^2)/(x-1)/(125*x^3+2244*x^2+1941*x+64) lgdogf] A017212 4.80396 [-(625*x^4+35291*x^3+94011*x^2+27281*x+256)/(x-1)^5 ogf] A017212 5.54529 [-(28561+297146*x+625*x^4+73082*x^3+387906*x^2)/(x-1)/(625*x^4+35291*x^3+94011*x^2+27281*x+256) lgdogf] A017213 3.60222 [(3125*x^5+519074*x^4+3256274*x^3+2941234*x^2+365149*x+1024)/(x-1)^6 ogf] A017214 4.22836 [-(15625*x^6+7420161*x^5+95657262*x^4+195063982*x^3+79678257*x^2+4798137*x+4096)/(x-1)^7 ogf] A017221 18.3493 [(4*x+5)/(x-1)^2 ogf] A017221 22.4934 [-1/2*(-5-2*x+(25+36*x)^(1/2))/(-4+x) revogf] A017221 33.7401 [-2*(2*x+7)/(4*x+5)/(x-1) lgdogf] A017221 9.60139 [(9*f(x)+53)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-5) ogf] A017221 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=14} ogf] A017222 12.9720 [-2*(98+137*x+8*x^2)/(x-1)/(16*x^2+121*x+25) lgdogf] A017222 4.53493 [(119628*f(x)-9967457)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+121*x+25) ogf] A017222 4.88378 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=196,a(2)=529} ogf] A017222 8.79080 [-(16*x^2+121*x+25)/(x-1)^3 ogf] A017223 3.35518 [(20865*f(x)+36402973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-1941*x^2+f(x)-2244*x-125) ogf] A017223 6.12514 [(64*x^3+1941*x^2+2244*x+125)/(x-1)^4 ogf] A017223 7.67493 [-2*(1372+5307*x+32*x^3+2037*x^2)/(x-1)/(64*x^3+1941*x^2+2244*x+125) lgdogf] A017224 4.83095 [-(256*x^4+27281*x^3+94011*x^2+35291*x+625)/(x-1)^5 ogf] A017224 5.46097 [-2*(19208+164593*x+128*x^4+27793*x^3+181938*x^2)/(x-1)/(256*x^4+27281*x^3+94011*x^2+35291*x+625) lgdogf] A017225 3.60222 [(1024*x^5+365149*x^4+2941234*x^3+3256274*x^2+519074*x+3125)/(x-1)^6 ogf] A017226 4.27587 [-(4096*x^6+4798137*x^5+79678257*x^4+195063982*x^3+95657262*x^2+7420161*x+15625)/(x-1)^7 ogf] A017233 18.3493 [3*(x+2)/(x-1)^2 ogf] A017233 28.9201 [-(-3-x+3*(x+1)^(1/2))/(-3+x) revogf] A017233 44.9868 [-(x+5)/(x+2)/(x-1) lgdogf] A017233 9.60139 [(2*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-6) ogf] A017233 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=15} ogf] A017234 16.9029 [-(25+28*x+x^2)/(x-1)/(x^2+13*x+4) lgdogf] A017234 4.68362 [(1628*f(x)-146787)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+117*x+36) ogf] A017234 4.88378 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=225,a(2)=576} ogf] A017234 8.92816 [-9*(x^2+13*x+4)/(x-1)^3 ogf] A017235 10.2844 [-(125+399*x+x^3+123*x^2)/(x-1)/(x^3+60*x^2+93*x+8) lgdogf] A017235 3.35518 [(12692*f(x)+23661909)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-1620*x^2+f(x)-2511*x-216) ogf] A017235 6.12514 [27*(x^3+60*x^2+93*x+8)/(x-1)^4 ogf] A017236 4.85794 [-81*(x^4+251*x^3+1131*x^2+545*x+16)/(x-1)^5 ogf] A017236 7.32290 [-(625+4442*x+x^4+506*x^3+4146*x^2)/(x-1)/(x^4+251*x^3+1131*x^2+545*x+16) lgdogf] A017237 3.62814 [243*(x^5+1018*x^4+10678*x^3+14498*x^2+2933*x+32)/(x-1)^6 ogf] A017238 4.28578 [-729*(x^6+4089*x^5+88998*x^4+262438*x^3+154113*x^2+15177*x+64)/(x-1)^7 ogf] A017245 18.3493 [(2*x+7)/(x-1)^2 ogf] A017245 22.4934 [-1/2*(-7-2*x+(49+36*x)^(1/2))/(-2+x) revogf] A017245 36.8074 [-2*(x+8)/(2*x+7)/(x-1) lgdogf] A017245 9.60139 [(9*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-7) ogf] A017245 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=16} ogf] A017246 12.9720 [-2*(128+113*x+2*x^2)/(x-1)/(4*x^2+109*x+49) lgdogf] A017246 4.53493 [(144684*f(x)-14039221)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+109*x+49) ogf] A017246 4.88378 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=256,a(2)=625} ogf] A017246 8.92816 [-(4*x^2+109*x+49)/(x-1)^3 ogf] A017247 3.33394 [(286563*f(x)+569591929)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-1299*x^2+f(x)-2724*x-343) ogf] A017247 6.19720 [(8*x^3+1299*x^2+2724*x+343)/(x-1)^4 ogf] A017247 7.91108 [-2*(2048+5385*x+4*x^3+1311*x^2)/(x-1)/(8*x^3+1299*x^2+2724*x+343) lgdogf] A017248 4.88493 [-(16*x^4+14561*x^3+86955*x^2+53531*x+2401)/(x-1)^5 ogf] A017249 3.66891 [(32*x^5+160859*x^4+2234174*x^3+3726274*x^2+947734*x+16807)/(x-1)^6 ogf] A017250 4.30933 [-(64*x^6+1771113*x^5+51600417*x^4+184023862*x^3+129170742*x^2+15953673*x+117649)/(x-1)^7 ogf] A017257 18.3493 [(x+8)/(x-1)^2 ogf] A017257 28.9201 [-(-4-x+(16+9*x)^(1/2))/(x-1) revogf] A017257 42.6191 [-(x+17)/(x+8)/(x-1) lgdogf] A017257 9.38318 [(18*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-x-8) ogf] A017257 9.94842 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=17} ogf] A017258 15.4944 [-(289+196*x+x^2)/(x-1)/(x^2+97*x+64) lgdogf] A017258 4.57121 [(158076*f(x)-16401959)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+97*x+64) ogf] A017258 4.88378 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=64,a(1)=289,a(2)=676} ogf] A017258 9.06987 [-(x^2+97*x+64)/(x-1)^3 ogf] A017259 3.31298 [(1272948*f(x)+2693337431)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-996*x^2+f(x)-2865*x-512) ogf] A017259 6.27098 [(x^3+996*x^2+2865*x+512)/(x-1)^4 ogf] A017259 8.71560 [-(4913+10587*x+x^3+1995*x^2)/(x-1)/(x^3+996*x^2+2865*x+512) lgdogf] A017260 4.97456 [-(x^4+9995*x^3+80331*x^2+63041*x+4096)/(x-1)^5 ogf] A017261 3.71602 [(x^5+99994*x^4+1876114*x^3+3853754*x^2+1223249*x+32768)/(x-1)^6 ogf] A017262 4.38560 [-(x^6+999993*x^5+40045902*x^4+173569102*x^3+145457817*x^2+22302561*x+262144)/(x-1)^7 ogf] A017263 5.00465 [(x^7+9999992*x^6+813871767*x^5+6621954544*x^4+11456857799*x^3+4807821048*x^2+393561457*x+2097152)/(x-1)^8 ogf] A017269 11.9116 [-2*(7-63*x+135*x^2)/(-1+6*x)/(3*x-1)/(5*x-1) lgdogf] A017269 13.3972 [-1/(6*x-1)/(3*x-1)/(5*x-1) ogf] A017269 4.54142 [{a(n+3)-14*a(n+2)+63*a(n+1)-90*a(n),a(0)=1,a(1)=14,a(2)=133} ogf] A017269 4.87171 [(21221*f(x)-14900)*(90*f(x)*x^3-63*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A017270 26.6177 [[4-x] ogf_with_Euler_transform] A017270 27.7198 [-2*(2+x)/(x-1)/(x+1) lgdogf] A017270 4.90956 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=100,a(2)=400} ogf] A017270 5.04106 [(f(x)+25)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+100*x^2-f(x)+100*x) ogf] A017270 9.25572 [-100*x*(x+1)/(x-1)^3 ogf] A017271 17.0820 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A017271 3.68317 [-(33*f(x)+54350)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-1000*x^3-4*f(x)*x-4000*x^2+f(x)-1000*x) ogf] A017271 6.78243 [1000*x*(x^2+4*x+1)/(x-1)^4 ogf] A017272 11.1543 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A017272 4.89211 [-10000*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A017273 3.66651 [100000*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A017273 7.54070 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A017274 3.15444 [-1000000*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A017274 6.40092 [-2*(32+473*x+1208*x^2+718*x^3+88*x^4+x^5)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A017281 18.4380 [(9*x+1)/(x-1)^2 ogf] A017281 23.9339 [-1/2*(-1-2*x+(1+40*x)^(1/2))/(x-9) revogf] A017281 35.3805 [-(11+9*x)/(9*x+1)/(x-1) lgdogf] A017281 9.42851 [(20*f(x)+101)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-1) ogf] A017281 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A017282 11.5905 [-(81*x^2+118*x+1)/(x-1)^3 ogf] A017282 17.3203 [-(121+398*x+81*x^2)/(x-1)/(81*x^2+118*x+1) lgdogf] A017282 6.08023 [(3235*f(x)-236271)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+81*x^2-f(x)+118*x+1) ogf] A017282 6.39473 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=121,a(2)=441} ogf] A017283 10.3447 [-(1331+11867*x+729*x^3+10073*x^2)/(x-1)/(729*x^3+3943*x^2+1327*x+1) lgdogf] A017283 4.41517 [(2500160*f(x)+4422727973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-729*x^3-4*f(x)*x-3943*x^2+f(x)-1327*x-1) ogf] A017283 8.31089 [(729*x^3+3943*x^2+1327*x+1)/(x-1)^4 ogf] A017284 5.98850 [-(6561*x^4+97516*x^3+121286*x^2+14636*x+1)/(x-1)^5 ogf] A017284 6.79356 [-(14641+301116*x+6561*x^4+221276*x^3+656406*x^2)/(x-1)/(6561*x^4+97516*x^3+121286*x^2+14636*x+1) lgdogf] A017285 4.65524 [(59049*x^5+2121805*x^4+6540290*x^3+3117810*x^2+161045*x+1)/(x-1)^6 ogf] A017286 3.43318 [-(531441*x^6+43325794*x^5+276662415*x^4+324343580*x^3+73365215*x^2+1771554*x+1)/(x-1)^7 ogf] A017293 18.4380 [2*(4*x+1)/(x-1)^2 ogf] A017293 28.0604 [-(-1-x+(10*x+1)^(1/2))/(-8+x) revogf] A017293 33.9063 [-2*(3+2*x)/(4*x+1)/(x-1) lgdogf] A017293 9.64778 [(5*f(x)+26)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-2) ogf] A017293 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=12} ogf] A017294 13.9449 [-2*(18+49*x+8*x^2)/(x-1)/(16*x^2+33*x+1) lgdogf] A017294 4.68362 [(3615*f(x)-283757)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)+132*x+4) ogf] A017294 4.92588 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=144,a(2)=484} ogf] A017294 8.92816 [-4*(16*x^2+33*x+1)/(x-1)^3 ogf] A017295 3.56022 [(132435*f(x)+251352728)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-512*x^3-4*f(x)*x-3784*x^2+f(x)-1696*x-8) ogf] A017295 6.61782 [8*(64*x^3+473*x^2+212*x+1)/(x-1)^4 ogf] A017295 9.16338 [-2*(108+791*x+32*x^3+569*x^2)/(x-1)/(64*x^3+473*x^2+212*x+1) lgdogf] A017296 4.84131 [-16*(256*x^4+5281*x^3+8171*x^2+1291*x+1)/(x-1)^5 ogf] A017297 3.60222 [32*(1024*x^5+52905*x^4+198890*x^3+114410*x^2+7770*x+1)/(x-1)^6 ogf] A017298 4.21514 [-64*(4096*x^6+502769*x^5+3895465*x^4+5356030*x^3+1444990*x^2+46649*x+1)/(x-1)^7 ogf] A017305 18.4380 [(7*x+3)/(x-1)^2 ogf] A017305 23.2501 [-1/2*(-3-2*x+(9+40*x)^(1/2))/(-7+x) revogf] A017305 35.3805 [-(13+7*x)/(7*x+3)/(x-1) lgdogf] A017305 9.42851 [(20*f(x)+109)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-3) ogf] A017305 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=13} ogf] A017306 13.2809 [-(169+382*x+49*x^2)/(x-1)/(49*x^2+142*x+9) lgdogf] A017306 4.68362 [(8030*f(x)-680121)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+142*x+9) ogf] A017306 4.92588 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=169,a(2)=529} ogf] A017306 8.92816 [-(49*x^2+142*x+9)/(x-1)^3 ogf] A017307 5.14032 [(1361280*f(x)+2766440239)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-343*x^3-4*f(x)*x-3541*x^2+f(x)-2089*x-27) ogf] A017307 6.16160 [(343*x^3+3541*x^2+2089*x+27)/(x-1)^4 ogf] A017307 7.72173 [-(2197+13349*x+343*x^3+8111*x^2)/(x-1)/(343*x^3+3541*x^2+2089*x+27) lgdogf] A017308 4.84131 [-(2401*x^4+71516*x^3+137846*x^2+28156*x+81)/(x-1)^5 ogf] A017309 3.59677 [(16807*x^5+1319015*x^4+6081870*x^3+4212230*x^2+369835*x+243)/(x-1)^6 ogf] A017310 4.16623 [-(117649*x^6+23314026*x^5+220928135*x^4+356554220*x^3+114263535*x^2+4821706*x+729)/(x-1)^7 ogf] A017317 18.4380 [2*(3*x+2)/(x-1)^2 ogf] A017317 28.0604 [-(-2-x+(4+10*x)^(1/2))/(-6+x) revogf] A017317 36.9887 [-(7+3*x)/(3*x+2)/(x-1) lgdogf] A017317 9.64778 [(5*f(x)+29)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-4) ogf] A017317 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=14} ogf] A017318 15.5888 [-(49+92*x+9*x^2)/(x-1)/(9*x+1)/(x+4) lgdogf] A017318 4.67319 [(4435*f(x)-405759)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+148*x+16) ogf] A017318 4.91285 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=196,a(2)=576} ogf] A017318 8.84312 [-4*(x+4)*(9*x+1)/(x-1)^3 ogf] A017319 3.35379 [(55535*f(x)+120553198)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-3232*x^2+f(x)-2488*x-64) ogf] A017319 6.16160 [8*(27*x^3+404*x^2+311*x+8)/(x-1)^4 ogf] A017319 8.76874 [-(343+1741*x+27*x^3+889*x^2)/(x-1)/(27*x^3+404*x^2+311*x+8) lgdogf] A017320 4.82498 [-16*(81*x^4+3691*x^3+8891*x^2+2321*x+16)/(x-1)^5 ogf] A017320 6.34809 [-(2401+27066*x+7706*x^3+37746*x^2+81*x^4)/(x-1)/(81*x^4+3691*x^3+8891*x^2+2321*x+16) lgdogf] A017321 3.63696 [32*(243*x^5+31310*x^4+178330*x^3+148470*x^2+16615*x+32)/(x-1)^6 ogf] A017322 4.18938 [-64*(729*x^6+257041*x^5+3007110*x^4+5704070*x^3+2163785*x^2+117201*x+64)/(x-1)^7 ogf] A017329 18.4380 [5*(x+1)/(x-1)^2 ogf] A017329 22.6042 [-1/2*(-5-2*x+(25+40*x)^(1/2))/(-5+x) revogf] A017329 39.3248 [[3-x] ogf_with_Euler_transform] A017329 45.2084 [-(x+3)/(x-1)/(x+1) lgdogf] A017329 9.42851 [(16*f(x)+325)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-5) ogf] A017329 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=15} ogf] A017330 12.4797 [-25*(x^2+6*x+1)/(x-1)^3 ogf] A017330 25.6978 [-(9+14*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A017330 6.81665 [(39*f(x)-3850)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+150*x+25) ogf] A017330 6.93319 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=225,a(2)=625} ogf] A017331 11.0743 [-(27+115*x+x^3+49*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A017331 5.07999 [(1728*f(x)+3996625)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-2875*x^2+f(x)-2875*x-125) ogf] A017331 6.12682 [125*(x+1)*(x^2+22*x+1)/(x-1)^4 ogf] A017332 4.86806 [-625*(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^5 ogf] A017332 8.20369 [-(81+764*x+156*x^3+918*x^2+x^4)/(x-1)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A017333 3.66294 [3125*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6 ogf] A017334 4.16448 [-15625*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^7 ogf] A017341 13.17 [-f(x)*x^2+2*f(x)*x-f(x)+4*x+6 ogf] A017341 18.4380 [2*(2*x+3)/(x-1)^2 ogf] A017341 28.0604 [-(-3-x+(9+10*x)^(1/2))/(-4+x) revogf] A017341 36.9887 [-2*(x+4)/(3+2*x)/(x-1) lgdogf] A017341 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=16} ogf] A017342 11.5224 [-4*(x+9)*(4*x+1)/(x-1)^3 ogf] A017342 19.3321 [-2*(32+41*x+2*x^2)/(x-1)/(x+9)/(4*x+1) lgdogf] A017342 6.08907 [(5335*f(x)-566721)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+148*x+36) ogf] A017342 6.40133 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=256,a(2)=676} ogf] A017343 5.00554 [(205995*f(x)+506409256)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-2488*x^2+f(x)-3232*x-216) ogf] A017343 6.23452 [8*(8*x^3+311*x^2+404*x+27)/(x-1)^4 ogf] A017343 8.87503 [-2*(256+917*x+4*x^3+323*x^2)/(x-1)/(8*x^3+311*x^2+404*x+27) lgdogf] A017344 4.85150 [-16*(16*x^4+2321*x^3+8891*x^2+3691*x+81)/(x-1)^5 ogf] A017344 6.30865 [-2*(2048+16273*x+2353*x^3+16818*x^2+8*x^4)/(x-1)/(16*x^4+2321*x^3+8891*x^2+3691*x+81) lgdogf] A017345 3.67714 [32*(32*x^5+16615*x^4+148470*x^3+178330*x^2+31310*x+243)/(x-1)^6 ogf] A017346 4.23567 [-64*(64*x^6+117201*x^5+2163785*x^4+5704070*x^3+3007110*x^2+257041*x+729)/(x-1)^7 ogf] A017353 18.4380 [(3*x+7)/(x-1)^2 ogf] A017353 22.6042 [-1/2*(-7-2*x+(49+40*x)^(1/2))/(-3+x) revogf] A017353 35.3805 [-(17+3*x)/(7+3*x)/(x-1) lgdogf] A017353 9.42851 [(20*f(x)+149)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-7) ogf] A017353 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=17} ogf] A017354 13.6878 [-(289+302*x+9*x^2)/(x-1)/(9*x^2+142*x+49) lgdogf] A017354 4.6355 [(11630*f(x)-1324239)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+142*x+49) ogf] A017354 4.91285 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=289,a(2)=729} ogf] A017354 8.98130 [-(9*x^2+142*x+49)/(x-1)^3 ogf] A017355 3.32904 [(4858880*f(x)+12669689559)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-2089*x^2+f(x)-3541*x-343) ogf] A017355 6.27098 [(27*x^3+2089*x^2+3541*x+343)/(x-1)^4 ogf] A017355 7.98125 [-(4913+14801*x+27*x^3+4259*x^2)/(x-1)/(27*x^3+2089*x^2+3541*x+343) lgdogf] A017356 4.92155 [-(81*x^4+28156*x^3+137846*x^2+71516*x+2401)/(x-1)^5 ogf] A017356 5.73650 [-(83521+561756*x+56636*x^3+81*x^4+498006*x^2)/(x-1)/(81*x^4+28156*x^3+137846*x^2+71516*x+2401) lgdogf] A017357 3.69724 [(243*x^5+369835*x^4+4212230*x^3+6081870*x^2+1319015*x+16807)/(x-1)^6 ogf] A017358 4.30510 [-(729*x^6+4821706*x^5+114263535*x^4+356554220*x^3+220928135*x^2+23314026*x+117649)/(x-1)^7 ogf] A017365 18.4380 [2*(x+4)/(x-1)^2 ogf] A017365 27.1251 [-(-4-x+(16+10*x)^(1/2))/(-2+x) revogf] A017365 45.2084 [-(x+9)/(x+4)/(x-1) lgdogf] A017365 9.64778 [(5*f(x)+41)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-8) ogf] A017365 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=18} ogf] A017366 16.5058 [-(81+68*x+x^2)/(x-1)/(x^2+33*x+16) lgdogf] A017366 4.71149 [(6315*f(x)-767123)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+132*x+64) ogf] A017366 4.91285 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=64,a(1)=324,a(2)=784} ogf] A017366 8.98130 [-4*(x^2+33*x+16)/(x-1)^3 ogf] A017367 12.4510 [-(729+1843*x+x^3+427*x^2)/(x-1)/(x^3+212*x^2+473*x+64) lgdogf] A017367 4.39445 [(22815*f(x)+62995402)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-1696*x^2+f(x)-3784*x-512) ogf] A017367 8.06512 [8*(x^3+212*x^2+473*x+64)/(x-1)^4 ogf] A017368 4.97505 [-16*(x^4+1291*x^3+8171*x^2+5281*x+256)/(x-1)^5 ogf] A017368 6.90156 [-(6561+37466*x+2586*x^3+x^4+28386*x^2)/(x-1)/(x^4+1291*x^3+8171*x^2+5281*x+256) lgdogf] A017369 3.72365 [32*(x^5+7770*x^4+114410*x^3+198890*x^2+52905*x+1024)/(x-1)^6 ogf] A017370 4.37997 [-64*(x^6+46649*x^5+1444990*x^4+5356030*x^3+3895465*x^2+502769*x+4096)/(x-1)^7 ogf] A017377 18.4380 [(x+9)/(x-1)^2 ogf] A017377 23.2501 [-1/2*(-9-2*x+(81+40*x)^(1/2))/(x-1) revogf] A017377 42.8290 [-(x+19)/(x+9)/(x-1) lgdogf] A017377 9.42851 [(20*f(x)+181)*(f(x)*x^2-2*f(x)*x+f(x)-x-9) ogf] A017377 9.99648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=19} ogf] A017378 12.7316 [-(x^2+118*x+81)/(x-1)^3 ogf] A017378 15.1675 [-(361+238*x+x^2)/(x-1)/(x^2+118*x+81) lgdogf] A017378 6.67885 [(6835*f(x)-881109)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+118*x+81) ogf] A017378 6.96427 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=81,a(1)=361,a(2)=841} ogf] A017379 3.32904 [(17641920*f(x)+51521284231)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-1327*x^2+f(x)-3943*x-729) ogf] A017379 6.34475 [(x^3+1327*x^2+3943*x+729)/(x-1)^4 ogf] A017379 8.77937 [-(6859+14483*x+x^3+2657*x^2)/(x-1)/(x^3+1327*x^2+3943*x+729) lgdogf] A017380 5.01987 [-(x^4+14636*x^3+121286*x^2+97516*x+6561)/(x-1)^5 ogf] A017380 6.12610 [-(130321+632636*x+29276*x^3+x^4+407766*x^2)/(x-1)/(x^4+14636*x^3+121286*x^2+97516*x+6561) lgdogf] A017381 3.77082 [(x^5+161045*x^4+3117810*x^3+6540290*x^2+2121805*x+59049)/(x-1)^6 ogf] A017382 4.44215 [-(x^6+1771554*x^5+73365215*x^4+324343580*x^3+276662415*x^2+43325794*x+531441)/(x-1)^7 ogf] A017389 12.4470 [-(15-142*x+315*x^2)/(-1+3*x)/(7*x-1)/(5*x-1) lgdogf] A017389 13.6450 [-1/(3*x-1)/(7*x-1)/(5*x-1) ogf] A017389 4.70121 [(209765501*f(x)-132002325)*(105*f(x)*x^3-71*f(x)*x^2+15*f(x)*x-f(x)+1) ogf] A017389 4.70121 [{a(n+3)-15*a(n+2)+71*a(n+1)-105*a(n),a(0)=1,a(1)=15,a(2)=154} ogf] A017390 26.9384 [[4-x] ogf_with_Euler_transform] A017390 28.0599 [-2*(x+2)/(x-1)/(x+1) lgdogf] A017390 4.96871 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=121,a(2)=484} ogf] A017390 5.05665 [(4*f(x)+121)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+121*x^2-f(x)+121*x) ogf] A017390 9.36725 [-121*x*(x+1)/(x-1)^3 ogf] A017391 17.3800 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A017391 3.72167 [-(60*f(x)+131527)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-1331*x^3-4*f(x)*x-5324*x^2+f(x)-1331*x) ogf] A017391 6.89870 [1331*x*(x^2+4*x+1)/(x-1)^4 ogf] A017392 4.94707 [-14641*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A017393 3.68110 [161051*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A017393 7.62787 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A017394 5.54061 [-1771561*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A017401 11.0713 [(11*f(x)+61)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-1) ogf] A017401 11.7383 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=12} ogf] A017401 21.1799 [(10*x+1)/(x-1)^2 ogf] A017401 26.6065 [-1/2*(-1-2*x+(44*x+1)^(1/2))/(-10+x) revogf] A017401 38.3133 [-2*(6+5*x)/(10*x+1)/(x-1) lgdogf] A017402 13.1302 [-2*(2*x+9)*(25*x+8)/(x-1)/(100*x^2+141*x+1) lgdogf] A017402 4.55278 [(136356*f(x)-11975351)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+100*x^2-f(x)+141*x+1) ogf] A017402 4.98452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=144,a(2)=529} ogf] A017402 8.89545 [-(100*x^2+141*x+1)/(x-1)^3 ogf] A017403 3.5531 [(2714283*f(x)+6349597171)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-1000*x^3-4*f(x)*x-5261*x^2+f(x)-1724*x-1) ogf] A017403 6.65173 [(1000*x^3+5261*x^2+1724*x+1)/(x-1)^4 ogf] A017403 8.34831 [-2*(864+7847*x+500*x^3+6761*x^2)/(x-1)/(1000*x^3+5261*x^2+1724*x+1) lgdogf] A017404 4.82498 [-(10000*x^4+144481*x^3+176171*x^2+20731*x+1)/(x-1)^5 ogf] A017405 3.61687 [(100000*x^5+3484101*x^4+10549826*x^3+4943366*x^2+248826*x+1)/(x-1)^6 ogf] A017406 4.20215 [-(1000000*x^6+78766121*x^5+494378977*x^4+571258822*x^3+127134022*x^2+2985977*x+1)/(x-1)^7 ogf] A017413 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=13} ogf] A017413 18.5266 [(9*x+2)/(x-1)^2 ogf] A017413 29.2050 [-(-1-x+(1+11*x)^(1/2))/(x-9) revogf] A017413 35.5540 [-(13+9*x)/(9*x+2)/(x-1) lgdogf] A017413 9.47384 [(22*f(x)+125)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-2) ogf] A017414 13.4428 [-(169+476*x+81*x^2)/(x-1)/(81*x^2+157*x+4) lgdogf] A017414 4.58892 [(150964*f(x)-14146041)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+81*x^2-f(x)+157*x+4) ogf] A017414 4.98452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=169,a(2)=576} ogf] A017414 9.03444 [-(81*x^2+157*x+4)/(x-1)^3 ogf] A017415 3.5531 [(4047164*f(x)+10095076837)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-729*x^3-4*f(x)*x-5084*x^2+f(x)-2165*x-8) ogf] A017415 6.72999 [(729*x^3+5084*x^2+2165*x+8)/(x-1)^4 ogf] A017415 8.34831 [-(2197+16663*x+729*x^3+12355*x^2)/(x-1)/(729*x^3+5084*x^2+2165*x+8) lgdogf] A017416 4.90451 [-(6561*x^4+127195*x^3+189131*x^2+28481*x+16)/(x-1)^5 ogf] A017416 5.53293 [-(28561+492186*x+280634*x^3+6561*x^4+948978*x^2)/(x-1)/(6561*x^4+127195*x^3+189131*x^2+28481*x+16) lgdogf] A017417 5.03101 [(59049*x^5+2845706*x^4+10314886*x^3+5735346*x^2+371101*x+32)/(x-1)^6 ogf] A017418 4.22549 [-(531441*x^6+60279913*x^5+450663942*x^4+601905542*x^3+157316657*x^2+4826361*x+64)/(x-1)^7 ogf] A017425 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=14} ogf] A017425 18.5266 [(8*x+3)/(x-1)^2 ogf] A017425 23.3640 [-1/2*(-3-2*x+(9+44*x)^(1/2))/(-8+x) revogf] A017425 34.0725 [-2*(7+4*x)/(8*x+3)/(x-1) lgdogf] A017425 9.58273 [(11*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-3) ogf] A017426 13.1302 [-2*(98+233*x+32*x^2)/(x-1)/(64*x^2+169*x+9) lgdogf] A017426 4.58892 [(166276*f(x)-16687179)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)+169*x+9) ogf] A017426 4.98452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=196,a(2)=625} ogf] A017426 9.03444 [-(64*x^2+169*x+9)/(x-1)^3 ogf] A017427 3.3692 [(3379827*f(x)+8975278049)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-512*x^3-4*f(x)*x-4811*x^2+f(x)-2636*x-27) ogf] A017427 6.30744 [(512*x^3+4811*x^2+2636*x+27)/(x-1)^4 ogf] A017427 7.79261 [-2*(1372+8765*x+256*x^3+5579*x^2)/(x-1)/(512*x^3+4811*x^2+2636*x+27) lgdogf] A017428 4.90451 [-(4096*x^4+109841*x^3+199355*x^2+38011*x+81)/(x-1)^5 ogf] A017428 5.42227 [-2*(19208+275377*x+118033*x^3+2048*x^4+463794*x^2)/(x-1)/(4096*x^4+109841*x^3+199355*x^2+38011*x+81) lgdogf] A017429 3.65705 [(32768*x^5+2279491*x^4+9934926*x^3+6542326*x^2+536366*x+243)/(x-1)^6 ogf] A017430 4.25881 [-(262144*x^6+45210873*x^5+405183857*x^4+625892702*x^3+191449182*x^2+7524433*x+729)/(x-1)^7 ogf] A017437 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=15} ogf] A017437 18.5266 [(7*x+4)/(x-1)^2 ogf] A017437 28.1980 [-(-2-x+(4+11*x)^(1/2))/(-7+x) revogf] A017437 35.5540 [-(15+7*x)/(7*x+4)/(x-1) lgdogf] A017437 9.47384 [(22*f(x)+137)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-4) ogf] A017438 13.2093 [-(225+452*x+49*x^2)/(x-1)/(49*x^2+177*x+16) lgdogf] A017438 4.97098 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=225,a(2)=676} ogf] A017438 7.2517 [(182292*f(x)-19622573)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+177*x+16) ogf] A017438 8.94777 [-(49*x^2+177*x+16)/(x-1)^3 ogf] A017439 5.46768 [(2141964*f(x)+6043879927)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-343*x^3-4*f(x)*x-4460*x^2+f(x)-3119*x-64) ogf] A017439 6.30744 [(343*x^3+4460*x^2+3119*x+64)/(x-1)^4 ogf] A017439 7.90892 [-(3375+18277*x+343*x^3+9949*x^2)/(x-1)/(343*x^3+4460*x^2+3119*x+64) lgdogf] A017440 4.93103 [-(2401*x^4+92971*x^3+206411*x^2+49345*x+256)/(x-1)^5 ogf] A017440 5.56350 [-(50625+610202*x+195546*x^3+2401*x^4+898146*x^2)/(x-1)/(2401*x^4+92971*x^3+206411*x^2+49345*x+256) lgdogf] A017441 3.67120 [(16807*x^5+1788726*x^4+9425846*x^3+7340486*x^2+753231*x+1024)/(x-1)^6 ogf] A017442 4.25550 [-(117649*x^6+33188681*x^5+359208382*x^4+642375742*x^3+229267417*x^2+11361953*x+4096)/(x-1)^7 ogf] A017449 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=16} ogf] A017449 18.5266 [(6*x+5)/(x-1)^2 ogf] A017449 22.7150 [-1/2*(-5-2*x+(25+44*x)^(1/2))/(-6+x) revogf] A017449 34.0725 [-2*(8+3*x)/(6*x+5)/(x-1) lgdogf] A017449 9.58273 [(11*f(x)+73)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-5) ogf] A017450 12.6222 [-2*(128+217*x+18*x^2)/(x-1)/(36*x^2+181*x+25) lgdogf] A017450 4.97098 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=256,a(2)=729} ogf] A017450 7.2517 [(199012*f(x)-22969983)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+181*x+25) ogf] A017450 8.94777 [-(36*x^2+181*x+25)/(x-1)^3 ogf] A017451 5.45533 [(1380665*f(x)+4130794761)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-4049*x^2+f(x)-3596*x-125) ogf] A017451 6.27098 [(216*x^3+4049*x^2+3596*x+125)/(x-1)^4 ogf] A017451 7.72512 [-2*(2048+9443*x+108*x^3+4373*x^2)/(x-1)/(216*x^3+4049*x^2+3596*x+125) lgdogf] A017452 4.93103 [-(1296*x^4+77041*x^3+210011*x^2+62411*x+625)/(x-1)^5 ogf] A017452 5.56350 [-2*(32768+334833*x+79633*x^3+648*x^4+430578*x^2)/(x-1)/(1296*x^4+77041*x^3+210011*x^2+62411*x+625) lgdogf] A017453 3.71111 [(7776*x^5+1373201*x^4+8807866*x^3+8104326*x^2+1029826*x+3125)/(x-1)^6 ogf] A017454 4.27826 [-(46656*x^6+23810977*x^5+313907097*x^4+650767622*x^3+270308102*x^2+16667841*x+15625)/(x-1)^7 ogf] A017461 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=17} ogf] A017461 18.5266 [(5*x+6)/(x-1)^2 ogf] A017461 28.1980 [-(-3-x+(9+11*x)^(1/2))/(-5+x) revogf] A017461 35.5540 [-(17+5*x)/(6+5*x)/(x-1) lgdogf] A017461 9.47384 [(22*f(x)+157)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-6) ogf] A017462 13.2093 [-(289+412*x+25*x^2)/(x-1)/(36+181*x+25*x^2) lgdogf] A017462 4.97098 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=289,a(2)=784} ogf] A017462 6.50183 [(216436*f(x)-26740161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+181*x+36) ogf] A017462 8.94777 [-(25*x^2+181*x+36)/(x-1)^3 ogf] A017463 4.7984 [(272316*f(x)+862118417)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-3596*x^2+f(x)-4049*x-216) ogf] A017463 6.27098 [(125*x^3+3596*x^2+4049*x+216)/(x-1)^4 ogf] A017463 7.83873 [-(4913+19339*x+125*x^3+7567*x^2)/(x-1)/(216+4049*x+3596*x^2+125*x^3) lgdogf] A017464 4.95754 [-(625*x^4+62411*x^3+210011*x^2+77041*x+1296)/(x-1)^5 ogf] A017464 5.65174 [-(83521+728186*x+127322*x^3+625*x^4+817266*x^2)/(x-1)/(625*x^4+62411*x^3+210011*x^2+77041*x+1296) lgdogf] A017465 3.71111 [(3125*x^5+1029826*x^4+8104326*x^3+8807866*x^2+1373201*x+7776)/(x-1)^6 ogf] A017466 4.27826 [-(15625*x^6+16667841*x^5+270308102*x^4+650767622*x^3+313907097*x^2+23810977*x+46656)/(x-1)^7 ogf] A017473 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=18} ogf] A017473 18.5266 [(4*x+7)/(x-1)^2 ogf] A017473 22.7150 [-1/2*(-7-2*x+(49+44*x)^(1/2))/(-4+x) revogf] A017473 34.0725 [-2*(9+2*x)/(7+4*x)/(x-1) lgdogf] A017473 9.58273 [(11*f(x)+85)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-7) ogf] A017474 12.9091 [-2*(162+193*x+8*x^2)/(x-1)/(49+177*x+16*x^2) lgdogf] A017474 4.97098 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=324,a(2)=841} ogf] A017474 7.2517 [(234564*f(x)-30935891)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+177*x+49) ogf] A017474 8.94777 [-(16*x^2+177*x+49)/(x-1)^3 ogf] A017475 5.47672 [(5007123*f(x)+16742158309)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-3119*x^2+f(x)-4460*x-343) ogf] A017475 6.38036 [(64*x^3+3119*x^2+4460*x+343)/(x-1)^4 ogf] A017475 8.00252 [-2*(2916+9809*x+32*x^3+3215*x^2)/(x-1)/(64*x^3+3119*x^2+4460*x+343) lgdogf] A017476 4.98404 [-(256*x^4+49345*x^3+206411*x^2+92971*x+2401)/(x-1)^5 ogf] A017476 5.62464 [-2*(52488+392353*x+49857*x^3+128*x^4+383634*x^2)/(x-1)/(256*x^4+49345*x^3+206411*x^2+92971*x+2401) lgdogf] A017477 3.75101 [(1024*x^5+753231*x^4+7340486*x^3+9425846*x^2+1788726*x+16807)/(x-1)^6 ogf] A017478 4.30102 [-(4096*x^6+11361953*x^5+229267417*x^4+642375742*x^3+359208382*x^2+33188681*x+117649)/(x-1)^7 ogf] A017485 10.5241 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=19} ogf] A017485 19.4111 [(3*x+8)/(x-1)^2 ogf] A017485 28.5800 [-(-4-x+(16+11*x)^(1/2))/(-3+x) revogf] A017485 37.2782 [-(19+3*x)/(8+3*x)/(x-1) lgdogf] A017485 9.92615 [(22*f(x)+185)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-8) ogf] A017486 13.8537 [-(361+356*x+9*x^2)/(x-1)/(9*x^2+169*x+64) lgdogf] A017486 4.97098 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=64,a(1)=361,a(2)=900} ogf] A017486 7.30925 [(253396*f(x)-35551029)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+169*x+64) ogf] A017486 9.08758 [-(9*x^2+169*x+64)/(x-1)^3 ogf] A017487 5.47672 [(7307036*f(x)+25762738007)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-2636*x^2+f(x)-4811*x-512) ogf] A017487 6.38036 [(27*x^3+2636*x^2+4811*x+512)/(x-1)^4 ogf] A017487 8.12377 [-(6859+19705*x+27*x^3+5353*x^2)/(x-1)/(27*x^3+2636*x^2+4811*x+512) lgdogf] A017488 4.98404 [-(81*x^4+38011*x^3+199355*x^2+109841*x+4096)/(x-1)^5 ogf] A017488 5.74182 [-(130321+838074*x+76346*x^3+81*x^4+712098*x^2)/(x-1)/(81*x^4+38011*x^3+199355*x^2+109841*x+4096) lgdogf] A017489 3.77761 [(243*x^5+536366*x^4+6542326*x^3+9934926*x^2+2279491*x+32768)/(x-1)^6 ogf] A017490 3.90952 [-(729*x^6+7524433*x^5+191449182*x^4+625892702*x^3+405183857*x^2+45210873*x+262144)/(x-1)^7 ogf] A017497 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=20} ogf] A017497 18.5266 [(2*x+9)/(x-1)^2 ogf] A017497 22.7150 [-1/2*(-9-2*x+(81+44*x)^(1/2))/(-2+x) revogf] A017497 35.5540 [-2*(10+x)/(9+2*x)/(x-1) lgdogf] A017497 9.47384 [(11*f(x)+101)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-9) ogf] A017498 13.2884 [-2*(200+161*x+2*x^2)/(x-1)/(4*x^2+157*x+81) lgdogf] A017498 5.00005 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=81,a(1)=400,a(2)=961} ogf] A017498 6.33344 [(272932*f(x)-40569543)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+157*x+81) ogf] A017498 9.14072 [-(4*x^2+157*x+81)/(x-1)^3 ogf] A017499 4.78951 [(5981547*f(x)+22209482051)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-2165*x^2+f(x)-5084*x-729) ogf] A017499 6.45542 [(8*x^3+2165*x^2+5084*x+729)/(x-1)^4 ogf] A017499 8.24875 [-2*(4000+9791*x+4*x^3+2177*x^2)/(x-1)/(8*x^3+2165*x^2+5084*x+729) lgdogf] A017500 4.98404 [-(16*x^4+28481*x^3+189131*x^2+127195*x+6561)/(x-1)^5 ogf] A017500 5.74182 [-2*(80000+443521*x+28513*x^3+8*x^4+326418*x^2)/(x-1)/(16*x^4+28481*x^3+189131*x^2+127195*x+6561) lgdogf] A017501 3.46082 [(32*x^5+371101*x^4+5735346*x^3+10314886*x^2+2845706*x+59049)/(x-1)^6 ogf] A017502 4.41225 [-(64*x^6+4826361*x^5+157316657*x^4+601905542*x^3+450663942*x^2+60279913*x+531441)/(x-1)^7 ogf] A017509 17.7800 [(x+10)/(x-1)^2 ogf] A017509 27.6551 [-(-5-x+(25+11*x)^(1/2))/(x-1) revogf] A017509 40.0999 [-(21+x)/(x+10)/(x-1) lgdogf] A017509 9.18966 [(22*f(x)+221)*(f(x)*x^2-2*f(x)*x+f(x)-x-10) ogf] A017509 9.73667 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=21} ogf] A017510 14.4439 [-(441+284*x+x^2)/(x-1)/(x^2+141*x+100) lgdogf] A017510 4.72554 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=100,a(1)=441,a(2)=1024} ogf] A017510 7.0873 [(293172*f(x)-45964553)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+141*x+100) ogf] A017510 8.65137 [-(x^2+141*x+100)/(x-1)^3 ogf] A017511 4.72243 [(26046900*f(x)+101758799287)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-1724*x^2+f(x)-5261*x-1000) ogf] A017511 8.84105 [-(9261+19231*x+x^3+3451*x^2)/(x-1)/(x^3+1724*x^2+5261*x+1000) lgdogf] A017511 9.00557 [(x^3+1724*x^2+5261*x+1000)/(x-1)^4 ogf] A017512 5.66238 [-(194481+930266*x+x^4+41466*x^3+590706*x^2)/(x-1)/(x^4+20731*x^3+176171*x^2+144481*x+10000) lgdogf] A017512 6.58110 [-(x^4+20731*x^3+176171*x^2+144481*x+10000)/(x-1)^5 ogf] A017513 4.86540 [(x^5+248826*x^4+4943366*x^3+10549826*x^2+3484101*x+100000)/(x-1)^6 ogf] A017514 4.45895 [-(x^6+2985977*x^5+127134022*x^4+571258822*x^3+494378977*x^2+78766121*x+1000000)/(x-1)^7 ogf] A017521 12.9823 [-2*(8-79*x+180*x^2)/(3*x-1)/(-1+8*x)/(5*x-1) lgdogf] A017521 14.2195 [-1/(3*x-1)/(8*x-1)/(5*x-1) ogf] A017521 4.89915 [(378508879*f(x)-214315200)*(120*f(x)*x^3-79*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A017521 4.89915 [{a(n+3)-16*a(n+2)+79*a(n+1)-120*a(n),a(0)=1,a(1)=16,a(2)=177} ogf] A017522 27.4194 [[4-x] ogf_with_Euler_transform] A017522 28.5701 [-2*(x+2)/(x-1)/(x+1) lgdogf] A017522 5.05743 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=144,a(2)=576} ogf] A017522 5.1929 [(f(x)+36)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+144*x^2-f(x)+144*x) ogf] A017522 9.53451 [-144*x*(x+1)/(x-1)^3 ogf] A017523 22.3882 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A017523 3.50928 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1728,a(2)=13824,a(3)=46656} ogf] A017523 4.77908 [-(55*f(x)+156528)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-1728*x^3-4*f(x)*x-6912*x^2+f(x)-1728*x) ogf] A017523 8.85878 [1728*x*(x^2+4*x+1)/(x-1)^4 ogf] A017524 10.6501 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A017524 4.67328 [-20736*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A017525 3.72247 [248832*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A017526 5.66511 [-2985984*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A017533 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=13} ogf] A017533 18.1238 [(11*x+1)/(x-1)^2 ogf] A017533 22.7150 [-1/2*(-1-2*x+(1+48*x)^(1/2))/(-11+x) revogf] A017533 32.7096 [-(13+11*x)/(11*x+1)/(x-1) lgdogf] A017533 9.36739 [(24*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-1) ogf] A017534 12.9864 [-(169+574*x+121*x^2)/(x-1)/(121*x^2+166*x+1) lgdogf] A017534 4.68005 [(21936*f(x)-2280941)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+121*x^2-f(x)+166*x+1) ogf] A017534 5.04316 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=169,a(2)=625} ogf] A017534 9.00009 [-(121*x^2+166*x+1)/(x-1)^3 ogf] A017535 3.70891 [{(1788*n^2+7609*n+8066)*a(n+1)+(-2160*n^2-5224*n-8399)*a(n+2)+(372*n^2+1863*n+2241)*a(n+3),a(0)=1,a(1)=2197,a(2)=15625} ogf] A017535 4.76859 [(1692352*f(x)+5112147237)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-1331*x^3-4*f(x)*x-6843*x^2+f(x)-2193*x-1) ogf] A017535 7.72512 [-(2197+20265*x+1331*x^3+17679*x^2)/(x-1)/(1331*x^3+6843*x^2+2193*x+1) lgdogf] A017535 8.92726 [(1331*x^3+6843*x^2+2193*x+1)/(x-1)^4 ogf] A017536 4.53392 [-(14641*x^4+206636*x^3+247830*x^2+28556*x+1)/(x-1)^5 ogf] A017536 5.00555 [-(28561+609884*x+14641*x^4+471836*x^3+1363398*x^2)/(x-1)/(14641*x^4+206636*x^3+247830*x^2+28556*x+1) lgdogf] A017537 3.63696 [(161051*x^5+5470037*x^4+16319582*x^3+7537882*x^2+371287*x+1)/(x-1)^6 ogf] A017538 4.23567 [-(1771561*x^6+135634962*x^5+839217183*x^4+958104988*x^3+210352983*x^2+4826802*x+1)/(x-1)^7 ogf] A017545 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=14} ogf] A017545 18.1238 [2*(5*x+1)/(x-1)^2 ogf] A017545 27.2580 [-(-1-x+(1+12*x)^(1/2))/(-10+x) revogf] A017545 37.1700 [-(5*x+7)/(5*x+1)/(x-1) lgdogf] A017545 9.58273 [(6*f(x)+37)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-2) ogf] A017546 14.2850 [-(49+142*x+25*x^2)/(x-1)/(25*x^2+46*x+1) lgdogf] A017546 4.83476 [(753*f(x)-83042)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+100*x^2-f(x)+184*x+4) ogf] A017546 5.04316 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=196,a(2)=676} ogf] A017546 9.00009 [-4*(25*x^2+46*x+1)/(x-1)^3 ogf] A017547 10.1880 [-(343+2679*x+125*x^3+2037*x^2)/(-1+x)/(125*x^3+831*x^2+339*x+1) lgdogf] A017547 4.17119 [(14656*f(x)+46960811)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-1000*x^3-4*f(x)*x-6648*x^2+f(x)-2712*x-8) ogf] A017547 7.61486 [8*(125*x^3+831*x^2+339*x+1)/(x-1)^4 ogf] A017548 4.51997 [-16*(625*x^4+11516*x^3+16566*x^2+2396*x+1)/(x-1)^5 ogf] A017548 5.72158 [-(2401+42716*x+625*x^4+25532*x^3+84246*x^2)/(x-1)/(625*x^4+11516*x^3+16566*x^2+2396*x+1) lgdogf] A017549 3.65125 [32*(3125*x^5+142301*x^4+500426*x^3+270466*x^2+16801*x+1)/(x-1)^6 ogf] A017550 4.18724 [-64*(15625*x^6+1662186*x^5+12064767*x^4+15728812*x^3+4003287*x^2+117642*x+1)/(x-1)^7 ogf] A017557 10.0445 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=15} ogf] A017557 18.5266 [3*(3*x+1)/(x-1)^2 ogf] A017557 24.0512 [-1/2*(-3-2*x+(9+48*x)^(1/2))/(x-9) revogf] A017557 37.1700 [-(5+3*x)/(3*x+1)/(x-1) lgdogf] A017557 9.69416 [(8*f(x)+51)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-3) ogf] A017558 15.4433 [-(25+62*x+9*x^2)/(x-1)/(9*x^2+22*x+1) lgdogf] A017558 4.83476 [(976*f(x)-114561)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+81*x^2-f(x)+198*x+9) ogf] A017558 5.04316 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=225,a(2)=729} ogf] A017558 9.14072 [-9*(9*x^2+22*x+1)/(x-1)^3 ogf] A017559 3.51738 [(6976*f(x)+23681079)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-729*x^3-4*f(x)*x-6345*x^2+f(x)-3267*x-27) ogf] A017559 6.38036 [27*(27*x^3+235*x^2+121*x+1)/(x-1)^4 ogf] A017559 9.24429 [-(125+833*x+27*x^3+551*x^2)/(x-1)/(27*x^3+235*x^2+121*x+1) lgdogf] A017560 4.55997 [-81*(81*x^4+1996*x^3+3446*x^2+620*x+1)/(x-1)^5 ogf] A017560 6.29374 [-(625+9372*x+81*x^4+4316*x^3+16326*x^2)/(x-1)/(81*x^4+1996*x^3+3446*x^2+620*x+1) lgdogf] A017561 3.69115 [243*(243*x^5+15349*x^4+63854*x^3+40314*x^2+3119*x+1)/(x-1)^6 ogf] A017562 4.25550 [-729*(729*x^6+112546*x^5+963327*x^4+1434812*x^3+422087*x^2+15618*x+1)/(x-1)^7 ogf] A017569 12.9822 [-f(x)*x^2+2*f(x)*x-f(x)+8*x+4 ogf] A017569 18.1751 [4*(2*x+1)/(x-1)^2 ogf] A017569 26.7333 [-(-2-x+2*(1+3*x)^(1/2))/(-8+x) revogf] A017569 36.4545 [-2*(x+2)/(1+2*x)/(x-1) lgdogf] A017569 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=16} ogf] A017570 14.8343 [-2*(x+8)*(2*x+1)/(x-1)/(4*x^2+13*x+1) lgdogf] A017570 4.60933 [(897*f(x)-112252)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)+208*x+16) ogf] A017570 4.80632 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=256,a(2)=784} ogf] A017570 8.65137 [-16*(4*x^2+13*x+1)/(x-1)^3 ogf] A017571 3.47074 [-(2227*f(x)+7996608)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-512*x^3-4*f(x)*x-5952*x^2+f(x)-3840*x-64) ogf] A017571 6.41681 [64*(8*x^3+93*x^2+60*x+1)/(x-1)^4 ogf] A017571 9.80553 [-2*(32+183*x+4*x^3+105*x^2)/(x-1)/(8*x^3+93*x^2+60*x+1) lgdogf] A017572 4.57163 [-256*(16*x^4+545*x^3+1131*x^2+251*x+1)/(x-1)^5 ogf] A017572 6.53062 [-2*(128+1633*x+8*x^4+577*x^3+2514*x^2)/(x-1)/(16*x^4+545*x^3+1131*x^2+251*x+1) lgdogf] A017573 3.71248 [1024*(32*x^5+2933*x^4+14498*x^3+10678*x^2+1018*x+1)/(x-1)^6 ogf] A017581 18.1751 [(7*x+5)/(x-1)^2 ogf] A017581 22.2777 [-1/2*(-5-2*x+(25+48*x)^(1/2))/(-7+x) revogf] A017581 34.8695 [-(17+7*x)/(7*x+5)/(x-1) lgdogf] A017581 9.29409 [(24*f(x)+169)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-5) ogf] A017581 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=17} ogf] A017582 12.8427 [-(289+526*x+49*x^2)/(x-1)/(49*x^2+214*x+25) lgdogf] A017582 4.52565 [(31152*f(x)-4157017)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+214*x+25) ogf] A017582 4.83509 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=289,a(2)=841} ogf] A017582 8.70317 [-(49*x^2+214*x+25)/(x-1)^3 ogf] A017583 3.4471 [(357440*f(x)+1355265607)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-343*x^3-4*f(x)*x-5487*x^2+f(x)-4413*x-125) ogf] A017583 6.37910 [(343*x^3+5487*x^2+4413*x+125)/(x-1)^4 ogf] A017583 7.86145 [-(4913+24213*x+343*x^3+12003*x^2)/(x-1)/(343*x^3+5487*x^2+4413*x+125) lgdogf] A017584 4.57163 [-(2401*x^4+118316*x^3+295926*x^2+80396*x+625)/(x-1)^5 ogf] A017584 5.09388 [-(83521+913436*x+2401*x^4+246236*x^3+1242726*x^2)/(x-1)/(2401*x^4+118316*x^3+295926*x^2+80396*x+625) lgdogf] A017585 3.71248 [(16807*x^5+2375257*x^4+14024662*x^3+12038882*x^2+1401107*x+3125)/(x-1)^6 ogf] A017593 10.0926 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=18} ogf] A017593 13.2966 [-f(x)*x^2+2*f(x)*x-f(x)+6*x+6 ogf] A017593 18.6152 [6*(x+1)/(x-1)^2 ogf] A017593 28.3355 [-(-3-x+(9+12*x)^(1/2))/(-6+x) revogf] A017593 39.7029 [[3-x] ogf_with_Euler_transform] A017593 45.6517 [-(x+3)/(x-1)/(x+1) lgdogf] A017594 17.8141 [-(9+14*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A017594 4.75383 [(13*f(x)-1848)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+216*x+36) ogf] A017594 4.83509 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=324,a(2)=900} ogf] A017594 8.70317 [-36*(x^2+6*x+1)/(x-1)^3 ogf] A017595 11.5413 [-(27+115*x+x^3+49*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A017595 3.58053 [-(8*f(x)+31973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-216*x^3-4*f(x)*x-4968*x^2+f(x)-4968*x-216) ogf] A017595 6.37910 [216*(x+1)*(x^2+22*x+1)/(x-1)^4 ogf] A017596 4.62329 [-1296*(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^5 ogf] A017596 7.92734 [-(81+764*x+x^4+156*x^3+918*x^2)/(x-1)/(x^4+76*x^3+230*x^2+76*x+1) lgdogf] A017597 3.73826 [7776*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6 ogf] A017597 6.05721 [-(243+4549*x+x^5+11774*x^2+5994*x^3+479*x^4)/(x-1)/(x+1)/(x^4+236*x^3+1446*x^2+236*x+1) lgdogf] A017605 18.1751 [(5*x+7)/(x-1)^2 ogf] A017605 22.2777 [-1/2*(-7-2*x+(49+48*x)^(1/2))/(-5+x) revogf] A017605 34.8695 [-(5*x+19)/(5*x+7)/(x-1) lgdogf] A017605 9.29409 [(24*f(x)+193)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-7) ogf] A017605 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=19} ogf] A017606 12.8427 [-(361+478*x+25*x^2)/(x-1)/(49+214*x+25*x^2) lgdogf] A017606 4.52565 [(36336*f(x)-5492039)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+214*x+49) ogf] A017606 4.83509 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=361,a(2)=961} ogf] A017606 8.70317 [-(25*x^2+214*x+49)/(x-1)^3 ogf] A017607 3.4048 [(2986048*f(x)+12558481563)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-4413*x^2+f(x)-5487*x-343) ogf] A017607 6.37910 [(125*x^3+4413*x^2+5487*x+343)/(x-1)^4 ogf] A017607 7.97706 [-(6859+25287*x+125*x^3+9201*x^2)/(x-1)/(343+5487*x+4413*x^2+125*x^3) lgdogf] A017608 4.62329 [-(625*x^4+80396*x^3+295926*x^2+118316*x+2401)/(x-1)^5 ogf] A017608 5.10175 [-(130321+1065116*x+625*x^4+163292*x^3+1128966*x^2)/(x-1)/(625*x^4+80396*x^3+295926*x^2+118316*x+2401) lgdogf] A017609 3.40359 [(3125*x^5+1401107*x^4+12038882*x^3+14024662*x^2+2375257*x+16807)/(x-1)^6 ogf] A017617 18.1751 [4*(x+2)/(x-1)^2 ogf] A017617 26.7333 [-(-4-x+2*(4+3*x)^(1/2))/(-4+x) revogf] A017617 44.5555 [-(x+5)/(x+2)/(x-1) lgdogf] A017617 9.51023 [(3*f(x)+26)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-8) ogf] A017617 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=20} ogf] A017618 16.8365 [-(25+28*x+x^2)/(x-1)/(x^2+13*x+4) lgdogf] A017618 4.62661 [(1221*f(x)-195716)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+208*x+64) ogf] A017618 4.82266 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=64,a(1)=400,a(2)=1024} ogf] A017618 8.75498 [-16*(x^2+13*x+4)/(x-1)^3 ogf] A017619 10.8488 [-(125+399*x+x^3+123*x^2)/(x-1)/(x^3+60*x^2+93*x+8) lgdogf] A017619 3.55758 [(3173*f(x)+14021872)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-3840*x^2+f(x)-5952*x-512) ogf] A017619 6.45328 [64*(x^3+60*x^2+93*x+8)/(x-1)^4 ogf] A017620 4.64911 [-256*(x^4+251*x^3+1131*x^2+545*x+16)/(x-1)^5 ogf] A017620 7.19752 [-(625+4442*x+x^4+506*x^3+4146*x^2)/(x-1)/(x^4+251*x^3+1131*x^2+545*x+16) lgdogf] A017621 3.40359 [1024*(x^5+1018*x^4+10678*x^3+14498*x^2+2933*x+32)/(x-1)^6 ogf] A017622 3.89215 [-4096*(x^6+4089*x^5+88998*x^4+262438*x^3+154113*x^2+15177*x+64)/(x-1)^7 ogf] A017629 18.1751 [3*(x+3)/(x-1)^2 ogf] A017629 22.2777 [-1/2*(-9-2*x+(81+48*x)^(1/2))/(-3+x) revogf] A017629 44.5555 [-(7+x)/(x+3)/(x-1) lgdogf] A017629 9.51023 [(8*f(x)+75)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-9) ogf] A017629 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=21} ogf] A017630 16.8365 [-(49+46*x+x^2)/(x-1)/(x^2+22*x+9) lgdogf] A017630 4.66453 [(1552*f(x)-263007)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+198*x+81) ogf] A017630 4.82266 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=81,a(1)=441,a(2)=1089} ogf] A017630 8.89178 [-9*(x^2+22*x+9)/(x-1)^3 ogf] A017631 10.2347 [-(343+947*x+x^3+245*x^2)/(x-1)/(x^3+121*x^2+235*x+27) lgdogf] A017631 3.49046 [(130624*f(x)+605764071)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-3267*x^2+f(x)-6345*x-729) ogf] A017631 6.45328 [27*(x^3+121*x^2+235*x+27)/(x-1)^4 ogf] A017632 4.71632 [-81*(x^4+620*x^3+3446*x^2+1996*x+81)/(x-1)^5 ogf] A017633 3.47550 [243*(x^5+3119*x^4+40314*x^3+63854*x^2+15349*x+243)/(x-1)^6 ogf] A017641 17.8663 [2*(x+5)/(x-1)^2 ogf] A017641 26.8656 [-(-5-x+(25+12*x)^(1/2))/(-2+x) revogf] A017641 42.4194 [-(x+11)/(x+5)/(x-1) lgdogf] A017641 9.44656 [(6*f(x)+61)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-10) ogf] A017641 9.78393 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=22} ogf] A017642 15.9706 [-(121+94*x+x^2)/(x-1)/(x^2+46*x+25) lgdogf] A017642 4.65399 [(1401*f(x)-250126)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+184*x+100) ogf] A017642 4.81043 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=100,a(1)=484,a(2)=1156} ogf] A017642 8.80678 [-4*(x^2+46*x+25)/(x-1)^3 ogf] A017643 13.0908 [-(1331+3171*x+x^3+681*x^2)/(x-1)/(x^3+339*x^2+831*x+125) lgdogf] A017643 3.57135 [{(174*n^2+863*n+1030)*a(n+1)+(-756*n^2-5372*n-11713)*a(n+2)+(582*n^2+3285*n+4617)*a(n+3),a(0)=1000,a(1)=10648,a(2)=39304} ogf] A017643 4.72414 [(29840*f(x)+145075143)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-2712*x^2+f(x)-6648*x-1000) ogf] A017643 8.67922 [8*(x^3+339*x^2+831*x+125)/(x-1)^4 ogf] A017644 4.36091 [-16*(x^4+2396*x^3+16566*x^2+11516*x+625)/(x-1)^5 ogf] A017644 5.92173 [-(14641+79196*x+x^4+4796*x^3+56886*x^2)/(x-1)/(x^4+2396*x^3+16566*x^2+11516*x+625) lgdogf] A017645 3.49503 [32*(x^5+16801*x^4+270466*x^3+500426*x^2+142301*x+3125)/(x-1)^6 ogf] A017653 17.8663 [(x+11)/(x-1)^2 ogf] A017653 21.7829 [-1/2*(-11-2*x+(121+48*x)^(1/2))/(x-1) revogf] A017653 40.2984 [-(23+x)/(x+11)/(x-1) lgdogf] A017653 9.23427 [(24*f(x)+265)*(f(x)*x^2-2*f(x)*x+f(x)-x-11) ogf] A017653 9.78393 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=23} ogf] A017654 14.7098 [-(529+334*x+x^2)/(x-1)/(x^2+166*x+121) lgdogf] A017654 4.57952 [(47856*f(x)-8967091)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+166*x+121) ogf] A017654 4.81043 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=121,a(1)=529,a(2)=1225} ogf] A017654 8.80678 [-(x^2+166*x+121)/(x-1)^3 ogf] A017655 3.48388 [(4127552*f(x)+21023426887)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2193*x^2+f(x)-6843*x-1331) ogf] A017655 6.56265 [(x^3+2193*x^2+6843*x+1331)/(x-1)^4 ogf] A017655 8.90075 [-(12167+24915*x+x^3+4389*x^2)/(x-1)/(x^3+2193*x^2+6843*x+1331) lgdogf] A017656 4.39950 [-(x^4+28556*x^3+247830*x^2+206636*x+14641)/(x-1)^5 ogf] A017656 5.27807 [-(279841+1322204*x+x^4+57116*x^3+829158*x^2)/(x-1)/(x^4+28556*x^3+247830*x^2+206636*x+14641) lgdogf] A017657 5.26853 [(x^5+371287*x^4+7537882*x^3+16319582*x^2+5470037*x+161051)/(x-1)^6 ogf] A017713 39.0200 [-50+(1-x)*f(x) lgdogf] A017713 5.26265 [{(-n-2)*a(n+2)+(51+n)*a(n+1),a(0)=1,a(1)=50} ogf] A017714 39.2264 [-51+(1-x)*f(x) lgdogf] A017714 6.50017 [{(-n-2)*a(n+2)+(52+n)*a(n+1),a(0)=1,a(1)=51} ogf] A017715 39.4329 [-52+(1-x)*f(x) lgdogf] A017715 5.31719 [{(-n-2)*a(n+2)+(53+n)*a(n+1),a(0)=1,a(1)=52} ogf] A017716 39.6394 [-53+(1-x)*f(x) lgdogf] A017716 5.34446 [{(-n-2)*a(n+2)+(54+n)*a(n+1),a(0)=1,a(1)=53} ogf] A017717 39.6394 [-54+(1-x)*f(x) lgdogf] A017717 5.34446 [{(-n-2)*a(n+2)+(55+n)*a(n+1),a(0)=1,a(1)=54} ogf] A017718 40.0523 [-55+(1-x)*f(x) lgdogf] A017718 5.39899 [{(-n-2)*a(n+2)+(56+n)*a(n+1),a(0)=1,a(1)=55} ogf] A017719 40.2587 [-56+(1-x)*f(x) lgdogf] A017719 5.42626 [{(-n-2)*a(n+2)+(57+n)*a(n+1),a(0)=1,a(1)=56} ogf] A017720 40.2587 [-57+(1-x)*f(x) lgdogf] A017720 5.42626 [{(-n-2)*a(n+2)+(58+n)*a(n+1),a(0)=1,a(1)=57} ogf] A017721 40.4652 [-58+(1-x)*f(x) lgdogf] A017721 5.45353 [{(-n-2)*a(n+2)+(59+n)*a(n+1),a(0)=1,a(1)=58} ogf] A017722 36.2246 [-59+(1-x)*f(x) lgdogf] A017722 4.89129 [{(-n-2)*a(n+2)+(60+n)*a(n+1),a(0)=1,a(1)=59} ogf] A017723 36.2246 [-60+(1-x)*f(x) lgdogf] A017723 4.89129 [{(-n-2)*a(n+2)+(61+n)*a(n+1),a(0)=1,a(1)=60} ogf] A017724 36.4270 [-61+(1-x)*f(x) lgdogf] A017724 4.91803 [{(-n-2)*a(n+2)+(62+n)*a(n+1),a(0)=1,a(1)=61} ogf] A017725 36.6294 [-62+(1-x)*f(x) lgdogf] A017725 4.94475 [{(-n-2)*a(n+2)+(63+n)*a(n+1),a(0)=1,a(1)=62} ogf] A017726 37.0341 [-63+(1-x)*f(x) lgdogf] A017726 4.99821 [{(-n-2)*a(n+2)+(64+n)*a(n+1),a(0)=1,a(1)=63} ogf] A017727 37.4388 [-64+(1-x)*f(x) lgdogf] A017727 5.05167 [{(-n-2)*a(n+2)+(65+n)*a(n+1),a(0)=1,a(1)=64} ogf] A017728 37.6412 [-65+(1-x)*f(x) lgdogf] A017728 5.07840 [{(-n-2)*a(n+2)+(66+n)*a(n+1),a(0)=1,a(1)=65} ogf] A017729 37.8436 [-66+(1-x)*f(x) lgdogf] A017729 5.10512 [{(-n-2)*a(n+2)+(67+n)*a(n+1),a(0)=1,a(1)=66} ogf] A017730 37.8436 [-67+(1-x)*f(x) lgdogf] A017730 5.10512 [{(-n-2)*a(n+2)+(68+n)*a(n+1),a(0)=1,a(1)=67} ogf] A017731 38.0460 [-68+(1-x)*f(x) lgdogf] A017731 5.13185 [{(-n-2)*a(n+2)+(69+n)*a(n+1),a(0)=1,a(1)=68} ogf] A017732 38.4507 [-69+(1-x)*f(x) lgdogf] A017732 5.18531 [{(-n-2)*a(n+2)+(70+n)*a(n+1),a(0)=1,a(1)=69} ogf] A017733 34.2613 [-70+(1-x)*f(x) lgdogf] A017733 4.62970 [{(-n-2)*a(n+2)+(71+n)*a(n+1),a(0)=1,a(1)=70} ogf] A017734 34.2613 [-71+(1-x)*f(x) lgdogf] A017734 4.62970 [{(-n-2)*a(n+2)+(72+n)*a(n+1),a(0)=1,a(1)=71} ogf] A017735 34.2613 [-72+(1-x)*f(x) lgdogf] A017735 4.62970 [{(-n-2)*a(n+2)+(73+n)*a(n+1),a(0)=1,a(1)=72} ogf] A017736 34.4593 [-73+(1-x)*f(x) lgdogf] A017736 4.65586 [{(-n-2)*a(n+2)+(74+n)*a(n+1),a(0)=1,a(1)=73} ogf] A017737 34.4593 [-74+(1-x)*f(x) lgdogf] A017737 4.65586 [{(-n-2)*a(n+2)+(75+n)*a(n+1),a(0)=1,a(1)=74} ogf] A017738 34.6574 [-75+(1-x)*f(x) lgdogf] A017738 4.68202 [{(-n-2)*a(n+2)+(76+n)*a(n+1),a(0)=1,a(1)=75} ogf] A017739 34.6574 [-76+(1-x)*f(x) lgdogf] A017739 4.68202 [{(-n-2)*a(n+2)+(77+n)*a(n+1),a(0)=1,a(1)=76} ogf] A017740 34.6574 [-77+(1-x)*f(x) lgdogf] A017740 4.68202 [{(-n-2)*a(n+2)+(78+n)*a(n+1),a(0)=1,a(1)=77} ogf] A017741 34.8554 [-78+(1-x)*f(x) lgdogf] A017741 6.66666 [{(-n-2)*a(n+2)+(79+n)*a(n+1),a(0)=1,a(1)=78} ogf] A017742 34.8554 [-79+(1-x)*f(x) lgdogf] A017742 4.70817 [{(-n-2)*a(n+2)+(80+n)*a(n+1),a(0)=1,a(1)=79} ogf] A017743 34.8554 [-80+(1-x)*f(x) lgdogf] A017743 4.70817 [{(-n-2)*a(n+2)+(81+n)*a(n+1),a(0)=1,a(1)=80} ogf] A017744 35.0535 [-81+(1-x)*f(x) lgdogf] A017744 4.73433 [{(-n-2)*a(n+2)+(82+n)*a(n+1),a(0)=1,a(1)=81} ogf] A017745 35.0535 [-82+(1-x)*f(x) lgdogf] A017745 4.73433 [{(-n-2)*a(n+2)+(83+n)*a(n+1),a(0)=1,a(1)=82} ogf] A017746 35.0535 [-83+(1-x)*f(x) lgdogf] A017746 4.73433 [{(-n-2)*a(n+2)+(84+n)*a(n+1),a(0)=1,a(1)=83} ogf] A017747 35.2515 [-84+(1-x)*f(x) lgdogf] A017747 4.76048 [{(-n-2)*a(n+2)+(85+n)*a(n+1),a(0)=1,a(1)=84} ogf] A017748 35.2515 [-85+(1-x)*f(x) lgdogf] A017748 4.76048 [{(-n-2)*a(n+2)+(86+n)*a(n+1),a(0)=1,a(1)=85} ogf] A017749 35.8456 [-86+(1-x)*f(x) lgdogf] A017749 4.83895 [{(-n-2)*a(n+2)+(87+n)*a(n+1),a(0)=1,a(1)=86} ogf] A017750 35.8456 [-87+(1-x)*f(x) lgdogf] A017750 4.83895 [{(-n-2)*a(n+2)+(88+n)*a(n+1),a(0)=1,a(1)=87} ogf] A017751 36.2417 [-88+(1-x)*f(x) lgdogf] A017751 4.89126 [{(-n-2)*a(n+2)+(89+n)*a(n+1),a(0)=1,a(1)=88} ogf] A017752 36.4398 [-89+(1-x)*f(x) lgdogf] A017752 4.91742 [{(-n-2)*a(n+2)+(90+n)*a(n+1),a(0)=1,a(1)=89} ogf] A017753 36.4398 [-90+(1-x)*f(x) lgdogf] A017753 4.91742 [{(-n-2)*a(n+2)+(91+n)*a(n+1),a(0)=1,a(1)=90} ogf] A017754 36.6378 [-91+(1-x)*f(x) lgdogf] A017754 4.94358 [{(-n-2)*a(n+2)+(92+n)*a(n+1),a(0)=1,a(1)=91} ogf] A017755 36.6378 [-92+(1-x)*f(x) lgdogf] A017755 4.94358 [{(-n-2)*a(n+2)+(93+n)*a(n+1),a(0)=1,a(1)=92} ogf] A017756 32.4966 [-93+(1-x)*f(x) lgdogf] A017756 4.39420 [{(-n-2)*a(n+2)+(94+n)*a(n+1),a(0)=1,a(1)=93} ogf] A017757 47.0717 [-94+(1-x)*f(x) lgdogf] A017757 6.32609 [{(-n-2)*a(n+2)+(95+n)*a(n+1),a(0)=1,a(1)=94} ogf] A017758 47.2782 [-95+(1-x)*f(x) lgdogf] A017758 6.35336 [{(-n-2)*a(n+2)+(96+n)*a(n+1),a(0)=1,a(1)=95} ogf] A017759 47.2782 [-96+(1-x)*f(x) lgdogf] A017759 6.35336 [{(-n-2)*a(n+2)+(97+n)*a(n+1),a(0)=1,a(1)=96} ogf] A017760 47.2782 [-97+(1-x)*f(x) lgdogf] A017760 6.35336 [{(-n-2)*a(n+2)+(98+n)*a(n+1),a(0)=1,a(1)=97} ogf] A017761 47.4846 [-98+(1-x)*f(x) lgdogf] A017761 6.38063 [{(-n-2)*a(n+2)+(99+n)*a(n+1),a(0)=1,a(1)=98} ogf] A017762 47.4846 [-99+(1-x)*f(x) lgdogf] A017762 6.32100 [{(-n-2)*a(n+2)+(100+n)*a(n+1),a(0)=1,a(1)=99} ogf] A017763 30.5107 [-100+(1-x)*f(x) lgdogf] A017763 4.33790 [{(-n-2)*a(n+2)+(101+n)*a(n+1),a(0)=1,a(1)=100} ogf] A017764 30.5107 [-101+(1-x)*f(x) lgdogf] A017764 6.31599 [{(-n-2)*a(n+2)+(102+n)*a(n+1),a(0)=1,a(1)=101} ogf] A017765 28.7850 [[49-49*x] ogf_with_Euler_transform] A017765 47.1901 [-49+(x+1)*f(x) lgdogf] A017765 6.34754 [{(-n-2)*a(n+2)+(48-n)*a(n+1),a(0)=1,a(1)=49} ogf] A017766 29.0456 [[50-50*x] ogf_with_Euler_transform] A017766 47.6250 [-50+(x+1)*f(x) lgdogf] A017766 6.40498 [{(-n-2)*a(n+2)+(49-n)*a(n+1),a(0)=1,a(1)=50} ogf] A017767 29.4363 [[51-51*x] ogf_with_Euler_transform] A017767 48.2774 [-51+(x+1)*f(x) lgdogf] A017767 6.49115 [{(-n-2)*a(n+2)+(50-n)*a(n+1),a(0)=1,a(1)=51} ogf] A017768 29.6968 [[52-52*x] ogf_with_Euler_transform] A017768 48.7123 [-52+(x+1)*f(x) lgdogf] A017768 6.54859 [{(-n-2)*a(n+2)+(51-n)*a(n+1),a(0)=1,a(1)=52} ogf] A017769 29.8270 [[53-53*x] ogf_with_Euler_transform] A017769 48.9298 [-53+(x+1)*f(x) lgdogf] A017769 6.57731 [{(-n-2)*a(n+2)+(52-n)*a(n+1),a(0)=1,a(1)=53} ogf] A017770 30.0876 [[54-54*x] ogf_with_Euler_transform] A017770 49.3647 [-54+(x+1)*f(x) lgdogf] A017770 6.63475 [{(-n-2)*a(n+2)+(53-n)*a(n+1),a(0)=1,a(1)=54} ogf] A017771 30.4783 [[55-55*x] ogf_with_Euler_transform] A017771 50.0171 [-55+(x+1)*f(x) lgdogf] A017771 6.72092 [{(-n-2)*a(n+2)+(54-n)*a(n+1),a(0)=1,a(1)=55} ogf] A017772 30.4783 [[56-56*x] ogf_with_Euler_transform] A017772 50.0171 [-56+(x+1)*f(x) lgdogf] A017772 6.72092 [{(-n-2)*a(n+2)+(55-n)*a(n+1),a(0)=1,a(1)=56} ogf] A017773 28.0362 [[57-57*x] ogf_with_Euler_transform] A017773 46.0059 [-57+(x+1)*f(x) lgdogf] A017773 6.18929 [{(-n-2)*a(n+2)+(56-n)*a(n+1),a(0)=1,a(1)=57} ogf] A017774 28.2922 [[58-58*x] ogf_with_Euler_transform] A017774 46.4338 [-58+(x+1)*f(x) lgdogf] A017774 6.24581 [{(-n-2)*a(n+2)+(57-n)*a(n+1),a(0)=1,a(1)=58} ogf] A017775 28.6763 [[59-59*x] ogf_with_Euler_transform] A017775 47.0758 [-59+(x+1)*f(x) lgdogf] A017775 6.33060 [{(-n-2)*a(n+2)+(58-n)*a(n+1),a(0)=1,a(1)=59} ogf] A017776 28.6763 [[60-60*x] ogf_with_Euler_transform] A017776 47.0758 [-60+(x+1)*f(x) lgdogf] A017776 6.33060 [{(-n-2)*a(n+2)+(59-n)*a(n+1),a(0)=1,a(1)=60} ogf] A017777 28.8043 [[61-61*x] ogf_with_Euler_transform] A017777 47.2897 [-61+(x+1)*f(x) lgdogf] A017777 6.35886 [{(-n-2)*a(n+2)+(60-n)*a(n+1),a(0)=1,a(1)=61} ogf] A017778 28.9323 [[62-62*x] ogf_with_Euler_transform] A017778 47.5037 [-62+(x+1)*f(x) lgdogf] A017778 6.38712 [{(-n-2)*a(n+2)+(61-n)*a(n+1),a(0)=1,a(1)=62} ogf] A017779 29.3164 [[63-63*x] ogf_with_Euler_transform] A017779 48.1457 [-63+(x+1)*f(x) lgdogf] A017779 6.47191 [{(-n-2)*a(n+2)+(62-n)*a(n+1),a(0)=1,a(1)=63} ogf] A017780 26.6417 [[64-64*x] ogf_with_Euler_transform] A017780 43.7460 [-64+(x+1)*f(x) lgdogf] A017780 5.88888 [{(-n-2)*a(n+2)+(63-n)*a(n+1),a(0)=1,a(1)=64} ogf] A017781 29.4444 [[65-65*x] ogf_with_Euler_transform] A017781 48.3596 [-65+(x+1)*f(x) lgdogf] A017781 6.50017 [{(-n-2)*a(n+2)+(64-n)*a(n+1),a(0)=1,a(1)=65} ogf] A017782 26.7673 [[66-66*x] ogf_with_Euler_transform] A017782 43.9563 [-66+(x+1)*f(x) lgdogf] A017782 5.91666 [{(-n-2)*a(n+2)+(65-n)*a(n+1),a(0)=1,a(1)=66} ogf] A017783 29.7004 [[67-67*x] ogf_with_Euler_transform] A017783 48.7876 [-67+(x+1)*f(x) lgdogf] A017783 6.55669 [{(-n-2)*a(n+2)+(66-n)*a(n+1),a(0)=1,a(1)=67} ogf] A017784 27.3957 [[68-68*x] ogf_with_Euler_transform] A017784 45.0079 [-68+(x+1)*f(x) lgdogf] A017784 6.05555 [{(-n-2)*a(n+2)+(67-n)*a(n+1),a(0)=1,a(1)=68} ogf] A017785 27.5213 [[69-69*x] ogf_with_Euler_transform] A017785 45.2182 [-69+(x+1)*f(x) lgdogf] A017785 6.08332 [{(-n-2)*a(n+2)+(68-n)*a(n+1),a(0)=1,a(1)=69} ogf] A017786 27.6470 [[70-70*x] ogf_with_Euler_transform] A017786 45.4285 [-70+(x+1)*f(x) lgdogf] A017786 6.11110 [{(-n-2)*a(n+2)+(69-n)*a(n+1),a(0)=1,a(1)=70} ogf] A017787 27.8983 [[71-71*x] ogf_with_Euler_transform] A017787 45.8491 [-71+(x+1)*f(x) lgdogf] A017787 6.16666 [{(-n-2)*a(n+2)+(70-n)*a(n+1),a(0)=1,a(1)=71} ogf] A017788 28.1497 [[72-72*x] ogf_with_Euler_transform] A017788 46.2698 [-72+(x+1)*f(x) lgdogf] A017788 6.22222 [{(-n-2)*a(n+2)+(71-n)*a(n+1),a(0)=1,a(1)=72} ogf] A017789 28.1497 [[73-73*x] ogf_with_Euler_transform] A017789 46.2698 [-73+(x+1)*f(x) lgdogf] A017789 6.22222 [{(-n-2)*a(n+2)+(72-n)*a(n+1),a(0)=1,a(1)=73} ogf] A017790 28.4010 [[74-74*x] ogf_with_Euler_transform] A017790 46.6904 [-74+(x+1)*f(x) lgdogf] A017790 6.27776 [{(-n-2)*a(n+2)+(73-n)*a(n+1),a(0)=1,a(1)=74} ogf] A017791 28.4010 [[75-75*x] ogf_with_Euler_transform] A017791 46.6904 [-75+(x+1)*f(x) lgdogf] A017791 6.27776 [{(-n-2)*a(n+2)+(74-n)*a(n+1),a(0)=1,a(1)=75} ogf] A017792 28.6523 [[76-76*x] ogf_with_Euler_transform] A017792 47.1110 [-76+(x+1)*f(x) lgdogf] A017792 6.33332 [{(-n-2)*a(n+2)+(75-n)*a(n+1),a(0)=1,a(1)=76} ogf] A017793 28.7780 [[77-77*x] ogf_with_Euler_transform] A017793 47.3214 [-77+(x+1)*f(x) lgdogf] A017793 6.36110 [{(-n-2)*a(n+2)+(76-n)*a(n+1),a(0)=1,a(1)=77} ogf] A017794 28.9037 [[78-78*x] ogf_with_Euler_transform] A017794 47.5317 [-78+(x+1)*f(x) lgdogf] A017794 6.38888 [{(-n-2)*a(n+2)+(77-n)*a(n+1),a(0)=1,a(1)=78} ogf] A017795 28.9037 [[79-79*x] ogf_with_Euler_transform] A017795 47.5317 [-79+(x+1)*f(x) lgdogf] A017795 6.38888 [{(-n-2)*a(n+2)+(78-n)*a(n+1),a(0)=1,a(1)=79} ogf] A017796 26.2380 [[80-80*x] ogf_with_Euler_transform] A017796 43.1491 [-80+(x+1)*f(x) lgdogf] A017796 5.80801 [{(-n-2)*a(n+2)+(79-n)*a(n+1),a(0)=1,a(1)=80} ogf] A017797 29.1550 [[81-81*x] ogf_with_Euler_transform] A017797 47.9523 [-81+(x+1)*f(x) lgdogf] A017797 6.44443 [{(-n-2)*a(n+2)+(80-n)*a(n+1),a(0)=1,a(1)=81} ogf] A017798 29.1550 [[82-82*x] ogf_with_Euler_transform] A017798 47.9523 [-82+(x+1)*f(x) lgdogf] A017798 6.44443 [{(-n-2)*a(n+2)+(81-n)*a(n+1),a(0)=1,a(1)=82} ogf] A017799 29.2807 [[83-83*x] ogf_with_Euler_transform] A017799 48.1626 [-83+(x+1)*f(x) lgdogf] A017799 6.47222 [{(-n-2)*a(n+2)+(82-n)*a(n+1),a(0)=1,a(1)=83} ogf] A017800 29.4064 [[84-84*x] ogf_with_Euler_transform] A017800 48.3729 [-84+(x+1)*f(x) lgdogf] A017800 6.49999 [{(-n-2)*a(n+2)+(83-n)*a(n+1),a(0)=1,a(1)=84} ogf] A017801 29.5320 [[85-85*x] ogf_with_Euler_transform] A017801 48.5833 [-85+(x+1)*f(x) lgdogf] A017801 6.52776 [{(-n-2)*a(n+2)+(84-n)*a(n+1),a(0)=1,a(1)=85} ogf] A017802 26.6075 [[86-86*x] ogf_with_Euler_transform] A017802 43.7685 [-86+(x+1)*f(x) lgdogf] A017802 5.88981 [{(-n-2)*a(n+2)+(85-n)*a(n+1),a(0)=1,a(1)=86} ogf] A017803 26.8539 [[87-87*x] ogf_with_Euler_transform] A017803 44.1814 [-87+(x+1)*f(x) lgdogf] A017803 5.94435 [{(-n-2)*a(n+2)+(86-n)*a(n+1),a(0)=1,a(1)=87} ogf] A017804 26.8539 [[88-88*x] ogf_with_Euler_transform] A017804 44.1814 [-88+(x+1)*f(x) lgdogf] A017804 5.94435 [{(-n-2)*a(n+2)+(87-n)*a(n+1),a(0)=1,a(1)=88} ogf] A017805 26.8539 [[89-89*x] ogf_with_Euler_transform] A017805 44.1814 [-89+(x+1)*f(x) lgdogf] A017805 5.94435 [{(-n-2)*a(n+2)+(88-n)*a(n+1),a(0)=1,a(1)=89} ogf] A017806 26.8539 [[90-90*x] ogf_with_Euler_transform] A017806 44.1814 [-90+(x+1)*f(x) lgdogf] A017806 5.94435 [{(-n-2)*a(n+2)+(89-n)*a(n+1),a(0)=1,a(1)=90} ogf] A017807 27.1003 [[91-91*x] ogf_with_Euler_transform] A017807 44.5943 [-91+(x+1)*f(x) lgdogf] A017807 5.99888 [{(-n-2)*a(n+2)+(90-n)*a(n+1),a(0)=1,a(1)=91} ogf] A017808 27.1003 [[92-92*x] ogf_with_Euler_transform] A017808 44.5943 [-92+(x+1)*f(x) lgdogf] A017808 5.99888 [{(-n-2)*a(n+2)+(91-n)*a(n+1),a(0)=1,a(1)=92} ogf] A017809 27.2234 [[93-93*x] ogf_with_Euler_transform] A017809 44.8007 [-93+(x+1)*f(x) lgdogf] A017809 6.02615 [{(-n-2)*a(n+2)+(92-n)*a(n+1),a(0)=1,a(1)=93} ogf] A017810 27.4698 [[94-94*x] ogf_with_Euler_transform] A017810 45.2136 [-94+(x+1)*f(x) lgdogf] A017810 6.08069 [{(-n-2)*a(n+2)+(93-n)*a(n+1),a(0)=1,a(1)=94} ogf] A017811 40.6768 [-95+(x+1)*f(x) lgdogf] A017811 5.47932 [{(-n-2)*a(n+2)+(94-n)*a(n+1),a(0)=1,a(1)=95} ogf] A017812 27.7162 [[96-96*x] ogf_with_Euler_transform] A017812 45.6266 [-96+(x+1)*f(x) lgdogf] A017812 6.13522 [{(-n-2)*a(n+2)+(95-n)*a(n+1),a(0)=1,a(1)=96} ogf] A017813 27.7162 [[97-97*x] ogf_with_Euler_transform] A017813 45.6266 [-97+(x+1)*f(x) lgdogf] A017813 6.13522 [{(-n-2)*a(n+2)+(96-n)*a(n+1),a(0)=1,a(1)=97} ogf] A017814 27.9626 [[98-98*x] ogf_with_Euler_transform] A017814 46.0395 [-98+(x+1)*f(x) lgdogf] A017814 6.18975 [{(-n-2)*a(n+2)+(97-n)*a(n+1),a(0)=1,a(1)=98} ogf] A017815 28.0857 [[99-99*x] ogf_with_Euler_transform] A017815 46.2459 [-99+(x+1)*f(x) lgdogf] A017815 6.21702 [{(-n-2)*a(n+2)+(98-n)*a(n+1),a(0)=1,a(1)=99} ogf] A017816 26.0655 [[100-100*x] ogf_with_Euler_transform] A017816 43.5482 [-100+(x+1)*f(x) lgdogf] A017816 6.21294 [{(-n-2)*a(n+2)+(99-n)*a(n+1),a(0)=1,a(1)=100} ogf] A017817 10.3767 [(7*f(x)-6)*(f(x)*x^4+f(x)*x^3-f(x)+1) ogf] A017817 22.7165 [-1/(x^4+x^3-1) ogf] A017817 33.4580 [-x^2*(4*x+3)/(-1+x^3+x^4) lgdogf] A017818 16.2484 [-1/(x^2+1)/(x^3+x^2-1) ogf] A017818 17.3296 [-x^2*(5*x^2+4*x+3)/(1+x^2)/(x^3+x^2-1) lgdogf] A017818 6.72913 [(f(x)-2)*(f(x)*x^5+f(x)*x^4+f(x)*x^3-f(x)+1) ogf] A017819 20.5825 [-1/(x^2+x+1)/(x^4+x-1) ogf] A017819 24.6095 [-x^2*(6*x^3+5*x^2+4*x+3)/(x^2+x+1)/(x^4+x-1) lgdogf] A017820 16.8575 [-1/(x^7+x^6+x^5+x^4+x^3-1) ogf] A017820 18.5521 [-x^2*(7*x^4+6*x^3+5*x^2+4*x+3)/(-1+x^3+x^4+x^5+x^6+x^7) lgdogf] A017821 9.04174 [-1/(x^8+x^7+x^6+x^5+x^4+x^3-1) ogf] A017821 9.48389 [-x^2*(7*x^4+6*x^3+8*x^5+5*x^2+4*x+3)/(-1+x^3+x^4+x^5+x^6+x^7+x^8) lgdogf] A017822 7.99846 [-x^2*(7*x^4+6*x^3+8*x^5+5*x^2+4*x+9*x^6+3)/(x^2+x+1)/(x^5-x^3+x^2+x-1)/(1+x^2) lgdogf] A017822 8.19879 [-1/(x^2+x+1)/(x^5-x^3+x^2+x-1)/(x^2+1) ogf] A017823 7.25640 [-x^2*(7*x^4+6*x^3+8*x^5+5*x^2+4*x+10*x^7+9*x^6+3)/(-1+x^9+x^3+x^10+x^4+x^5+x^6+x^7+x^8) lgdogf] A017823 7.42714 [-1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3-1) ogf] A017824 6.41435 [-x^2*(7*x^4+6*x^3+8*x^5+5*x^2+4*x+10*x^7+9*x^6+11*x^8+3)/(-1+x^9+x^3+x^10+x^4+x^11+x^5+x^6+x^7+x^8) lgdogf] A017824 6.76261 [-1/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3-1) ogf] A017825 6.17738 [-1/(x^2+x+1)/(x^10+x^7+x^4+x-1) ogf] A017825 6.90240 [-x^2*(7*x^4+6*x^3+8*x^5+5*x^2+4*x+10*x^7+9*x^6+11*x^8+12*x^9+3)/(x^2+x+1)/(x^10+x^7+x^4+x-1) lgdogf] A017826 5.68538 [-1/(x^2+1)/(x^11+x^10+x^7+x^6+x^3+x^2-1) ogf] A017826 5.82588 [-x^2*(7*x^4+6*x^3+8*x^5+5*x^2+4*x+10*x^7+9*x^6+11*x^8+13*x^10+12*x^9+3)/(1+x^2)/(x^11+x^10+x^7+x^6+x^3+x^2-1) lgdogf] A017827 25.0793 [-1/(x^5+x^4-1) ogf] A017827 33.4374 [-x^3*(5*x+4)/(-1+x^4+x^5) lgdogf] A017828 15.3686 [-x^3*(6*x^2+5*x+4)/(x+1)/(x^5+x^3-x^2+x-1) lgdogf] A017828 15.7435 [-1/(x+1)/(x^5+x^3-x^2+x-1) ogf] A017829 13.1219 [-1/(x^7+x^6+x^5+x^4-1) ogf] A017829 14.2028 [-x^3*(7*x^3+6*x^2+5*x+4)/(-1+x^4+x^5+x^6+x^7) lgdogf] A017830 11.2844 [-1/(x+1)/(x^2+1)/(x^2-x+1)/(x^3+x^2-1) ogf] A017830 9.68762 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4)/(x+1)/(1+x^2)/(x^2-x+1)/(x^3+x^2-1) lgdogf] A017831 10.1312 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4+9*x^5)/(-1+x^4+x^5+x^6+x^7+x^8+x^9) lgdogf] A017831 10.1901 [-1/(x^9+x^8+x^7+x^6+x^5+x^4-1) ogf] A017832 8.52692 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4+10*x^6+9*x^5)/(x+1)/(x^9+x^7+x^5+x^3-x^2+x-1) lgdogf] A017832 8.69359 [-1/(x+1)/(x^9+x^7+x^5+x^3-x^2+x-1) ogf] A017833 7.27115 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4+10*x^6+9*x^5+11*x^7)/(-1+x^10+x^4+x^11+x^5+x^6+x^7+x^8+x^9) lgdogf] A017833 7.84264 [-1/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4-1) ogf] A017834 6.82800 [-1/(x+1)/(x^2+1)/(x^9+x^5+x-1) ogf] A017834 7.34578 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4+12*x^8+10*x^6+9*x^5+11*x^7)/(x+1)/(x^2+1)/(x^9+x^5+x-1) lgdogf] A017835 5.59256 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4+12*x^8+9*x^5+11*x^7+13*x^9+10*x^6)/(-1+x^10+x^4+x^11+x^5+x^12+x^6+x^13+x^7+x^8+x^9) lgdogf] A017835 6.29450 [-1/(x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4-1) ogf] A017836 5.35559 [-x^3*(7*x^3+6*x^2+8*x^4+5*x+4+12*x^8+9*x^5+11*x^7+13*x^9+14*x^10+10*x^6)/(x+1)/(x^2-x+1)/(x^11+x^10+x^9+x^5+x^4+x^3-1) lgdogf] A017836 5.77949 [-1/(x+1)/(x^2-x+1)/(x^11+x^10+x^9+x^5+x^4+x^3-1) ogf] A017837 17.6240 [-1/(x^6+x^5-1) ogf] A017837 27.0740 [-x^4*(6*x+5)/(-1+x^5+x^6) lgdogf] A017838 15.8586 [-1/(x^7+x^6+x^5-1) ogf] A017838 18.8052 [-x^4*(7*x^2+6*x+5)/(-1+x^5+x^6+x^7) lgdogf] A017839 12.1664 [-1/(x^8+x^7+x^6+x^5-1) ogf] A017839 14.4167 [-x^4*(7*x^2+6*x+8*x^3+5)/(-1+x^5+x^6+x^7+x^8) lgdogf] A017840 11.5988 [-1/(x^9+x^8+x^7+x^6+x^5-1) ogf] A017840 12.0206 [-x^4*(7*x^2+6*x+8*x^3+5+9*x^4)/(-1+x^5+x^6+x^7+x^8+x^9) lgdogf] A017841 10.1187 [-x^4*(7*x^2+6*x+8*x^3+5+10*x^5+9*x^4)/(x^4+x^3+x^2+x+1)/(x^6+x-1) lgdogf] A017841 9.39597 [-1/(x^4+x^3+x^2+x+1)/(x^6+x-1) ogf] A017842 8.18342 [-1/(x^7+x^6+x^5+x^4-1)/(x^4+1) ogf] A017842 8.97903 [-x^4*(7*x^2+6*x+8*x^3+5+9*x^4+11*x^6+10*x^5)/(x^7+x^6+x^5+x^4-1)/(x^4+1) lgdogf] A017843 6.89642 [-x^4*(8*x^3+7*x^2+6*x+5+12*x^7+11*x^6+10*x^5+9*x^4)/(-1+x^11+x^5+x^12+x^6+x^7+x^8+x^9+x^10) lgdogf] A017843 7.13152 [-1/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5-1) ogf] A017844 6.13034 [-x^4*(7*x^2+8*x^3+6*x+5+13*x^8+12*x^7+11*x^6+10*x^5+9*x^4)/(-1+x^11+x^5+x^12+x^6+x^13+x^7+x^8+x^9+x^10) lgdogf] A017844 6.50954 [-1/(x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5-1) ogf] A017845 5.52413 [-x^4*(7*x^2+6*x+8*x^3+5+12*x^7+10*x^5+9*x^4+11*x^6+13*x^8+14*x^9)/(-1+x^11+x^5+x^12+x^6+x^13+x^7+x^14+x^8+x^9+x^10) lgdogf] A017845 5.99316 [-1/(x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5-1) ogf] A017846 5.55761 [-1/(x^4+x^3+x^2+x+1)/(x^11+x^6+x-1) ogf] A017846 6.02948 [-x^4*(7*x^2+6*x+8*x^3+5+15*x^10+9*x^4+11*x^6+13*x^8+10*x^5+12*x^7+14*x^9)/(x^4+x^3+x^2+x+1)/(x^11+x^6+x-1) lgdogf] A017847 19.6219 [-1/(x^7+x^6-1) ogf] A017847 27.7510 [-x^5*(7*x+6)/(-1+x^6+x^7) lgdogf] A017848 13.4807 [-x^5*(7*x+6+8*x^2)/(x+1)/(x^7+x^5-x^4+x^3-x^2+x-1) lgdogf] A017848 15.9447 [-1/(x+1)/(x^7+x^5-x^4+x^3-x^2+x-1) ogf] A017849 12.6573 [-x^5*(7*x+6+8*x^2+9*x^3)/(x^2+x+1)/(x^7+x^4-x^3+x-1) lgdogf] A017849 13.1881 [-1/(x^2+x+1)/(x^7+x^4-x^3+x-1) ogf] A017850 11.2948 [-1/(x+1)/(x^9+x^7+x^5-x^4+x^3-x^2+x-1) ogf] A017850 9.89610 [-x^5*(7*x+6+8*x^2+9*x^3+10*x^4)/(x+1)/(x^9+x^7+x^5-x^4+x^3-x^2+x-1) lgdogf] A017851 9.17427 [-x^5*(9*x^3+7*x+6+8*x^2+10*x^4+11*x^5)/(-1+x^6+x^7+x^8+x^9+x^10+x^11) lgdogf] A017851 9.38945 [-1/(x^11+x^10+x^9+x^8+x^7+x^6-1) ogf] A017852 8.00928 [-x^5*(7*x+6+8*x^2+12*x^6+10*x^4+9*x^3+11*x^5)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^7+x-1) lgdogf] A017852 8.48447 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^7+x-1) ogf] A017853 7.14494 [-x^5*(7*x+6+8*x^2+10*x^4+9*x^3+11*x^5+13*x^7+12*x^6)/(-1+x^12+x^6+x^13+x^7+x^8+x^9+x^10+x^11) lgdogf] A017853 7.77114 [-1/(x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6-1) ogf] A017854 6.24683 [-x^5*(7*x+6+8*x^2+10*x^4+9*x^3+11*x^5+13*x^7+12*x^6+14*x^8)/(x+1)/(x^4-x^3+x^2-x+1)/(x^9+x^8+x^7+x^6+x^5-1) lgdogf] A017854 7.06893 [-1/(x+1)/(x^4-x^3+x^2-x+1)/(x^9+x^8+x^7+x^6+x^5-1) ogf] A017855 6.24419 [-x^5*(7*x+6+8*x^2+15*x^9+9*x^3+11*x^5+13*x^7+10*x^4+12*x^6+14*x^8)/(x^2+x+1)/(x^13+x^10+x^7+x^4-x^3+x-1) lgdogf] A017855 6.26683 [-1/(x^2+x+1)/(x^13+x^10+x^7+x^4-x^3+x-1) ogf] A017856 5.22646 [-x^5*(7*x+6+8*x^2+12*x^6+15*x^9+9*x^3+11*x^5+13*x^7+14*x^8+10*x^4+16*x^10)/(x+1)/(x^15+x^13+x^11+x^9+x^7+x^5-x^4+x^3-x^2+x-1) lgdogf] A017856 5.79817 [-1/(x+1)/(x^15+x^13+x^11+x^9+x^7+x^5-x^4+x^3-x^2+x-1) ogf] A017857 16.9355 [-1/(x^8+x^7-1) ogf] A017857 27.9632 [-x^6*(7+8*x)/(-1+x^7+x^8) lgdogf] A017858 14.8038 [-x^6*(7+8*x+9*x^2)/(x^2+1)/(x^7+x^6-x^4+x^2-1) lgdogf] A017858 15.8039 [-1/(x^2+1)/(x^7+x^6-x^4+x^2-1) ogf] A017859 12.1813 [-1/(x^10+x^9+x^8+x^7-1) ogf] A017859 14.4275 [-x^6*(7+8*x+9*x^2+10*x^3)/(-1+x^7+x^8+x^9+x^10) lgdogf] A017860 11.1209 [-1/(x^11+x^10+x^9+x^8+x^7-1) ogf] A017860 11.3938 [-x^6*(7+8*x+9*x^2+11*x^4+10*x^3)/(-1+x^7+x^8+x^9+x^10+x^11) lgdogf] A017861 8.86440 [-1/(x^12+x^11+x^10+x^9+x^8+x^7-1) ogf] A017861 9.15780 [-x^6*(8*x+7+12*x^5+11*x^4+10*x^3+9*x^2)/(-1+x^7+x^8+x^9+x^10+x^11+x^12) lgdogf] A017862 7.88298 [-x^6*(7+8*x+9*x^2+11*x^4+13*x^6+10*x^3+12*x^5)/(x^2+1)/(x^11+x^10+x^7+x^6-x^4+x^2-1) lgdogf] A017862 8.49601 [-1/(x^2+1)/(x^11+x^10+x^7+x^6-x^4+x^2-1) ogf] A017863 7.44610 [-1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^8+x-1) ogf] A017863 7.61940 [-x^6*(7+8*x+10*x^3+9*x^2+11*x^4+13*x^6+12*x^5+14*x^7)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^8+x-1) lgdogf] A017864 6.33763 [-x^6*(7+8*x+15*x^8+10*x^3+9*x^2+11*x^4+13*x^6+12*x^5+14*x^7)/(-1+x^13+x^7+x^14+x^8+x^15+x^9+x^10+x^11+x^12) lgdogf] A017864 6.76918 [-1/(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7-1) ogf] A017865 5.57175 [-x^6*(7+8*x+12*x^5+15*x^8+9*x^2+11*x^4+13*x^6+14*x^7+10*x^3+16*x^9)/(-1+x^13+x^7+x^14+x^8+x^15+x^9+x^16+x^10+x^11+x^12) lgdogf] A017865 6.06572 [-1/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7-1) ogf] A017866 5.30431 [-x^6*(7+8*x+12*x^5+15*x^8+17*x^10+9*x^2+11*x^4+13*x^6+14*x^7+10*x^3+16*x^9)/(1+x^2)/(x^11+x^10+x^9+x^8+x^7+x^6-1)/(x^4-x^2+1) lgdogf] A017866 5.59913 [-1/(x^2+1)/(x^11+x^10+x^9+x^8+x^7+x^6-1)/(x^4-x^2+1) ogf] A017867 17.8684 [-1/(x^9+x^8-1) ogf] A017867 27.7182 [-x^7*(9*x+8)/(-1+x^8+x^9) lgdogf] A017868 11.6741 [-x^7*(8+10*x^2+9*x)/(x+1)/(x^9+x^7-x^6+x^5-x^4+x^3-x^2+x-1) lgdogf] A017868 15.2067 [-1/(x+1)/(x^9+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A017869 12.5239 [-1/(x^11+x^10+x^9+x^8-1) ogf] A017869 13.7035 [-x^7*(8+11*x^3+10*x^2+9*x)/(-1+x^8+x^9+x^10+x^11) lgdogf] A017870 10.1199 [-x^7*(9*x+8+10*x^2+11*x^3+12*x^4)/(x+1)/(1+x^2)/(x^9+x^5-x^4+x-1) lgdogf] A017870 9.89733 [-1/(x+1)/(x^2+1)/(x^9+x^5-x^4+x-1) ogf] A017871 9.13840 [-x^7*(8+12*x^4+10*x^2+9*x+11*x^3+13*x^5)/(-1+x^8+x^9+x^10+x^11+x^12+x^13) lgdogf] A017871 9.37519 [-1/(x^13+x^12+x^11+x^10+x^9+x^8-1) ogf] A017872 6.96071 [-x^7*(8+12*x^4+9*x+11*x^3+13*x^5+14*x^6+10*x^2)/(x+1)/(x^13+x^11+x^9+x^7-x^6+x^5-x^4+x^3-x^2+x-1) lgdogf] A017872 8.44894 [-1/(x+1)/(x^13+x^11+x^9+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A017873 6.84724 [-x^7*(8+15*x^7+12*x^4+10*x^2+9*x+11*x^3+13*x^5+14*x^6)/(-1+x^14+x^8+x^15+x^9+x^10+x^11+x^12+x^13) lgdogf] A017873 7.49548 [-1/(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8-1) ogf] A017874 6.72062 [-1/(x+1)/(x^2+1)/(x^9+x-1)/(x^4+1) ogf] A017874 7.06669 [-x^7*(8+16*x^8+15*x^7+14*x^6+13*x^5+12*x^4+11*x^3+10*x^2+9*x)/(x+1)/(x^2+1)/(x^9+x-1)/(x^4+1) lgdogf] A017875 5.30765 [-x^7*(9*x+8+10*x^2+11*x^3+13*x^5+14*x^6+17*x^9+12*x^4+15*x^7+16*x^8)/(-1+x^14+x^8+x^15+x^9+x^16+x^10+x^17+x^11+x^12+x^13) lgdogf] A017875 6.00247 [-1/(x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8-1) ogf] A017876 7.31298 [-1/(x+1)/(x^17+x^15+x^13+x^11+x^9+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A017877 14.8157 [-1/(x^10+x^9-1) ogf] A017877 25.9844 [-x^8*(9+10*x)/(-1+x^9+x^10) lgdogf] A017878 14.4248 [-1/(x^11+x^10+x^9-1) ogf] A017878 17.6354 [-x^8*(11*x^2+10*x+9)/(-1+x^9+x^10+x^11) lgdogf] A017879 10.6815 [-x^8*(12*x^3+10*x+9+11*x^2)/(x^10+x^7-x^6+x^4-x^3+x-1)/(x^2+x+1) lgdogf] A017879 11.3936 [-1/(x^10+x^7-x^6+x^4-x^3+x-1)/(x^2+x+1) ogf] A017880 10.4457 [-1/(x^13+x^12+x^11+x^10+x^9-1) ogf] A017880 10.6361 [-x^8*(13*x^4+12*x^3+11*x^2+10*x+9)/(-1+x^9+x^10+x^11+x^12+x^13) lgdogf] A017881 8.79730 [-1/(x^14+x^13+x^12+x^11+x^10+x^9-1) ogf] A017881 9.06214 [-x^8*(9+11*x^2+13*x^4+10*x+12*x^3+14*x^5)/(-1+x^9+x^10+x^11+x^12+x^13+x^14) lgdogf] A017882 7.47549 [-x^8*(15*x^6+12*x^3+10*x+9+11*x^2+13*x^4+14*x^5)/(x^2+x+1)/(x^13+x^10+x^7-x^6+x^4-x^3+x-1) lgdogf] A017882 8.20670 [-1/(x^2+x+1)/(x^13+x^10+x^7-x^6+x^4-x^3+x-1) ogf] A017883 6.68537 [-x^8*(16*x^7+15*x^6+14*x^5+13*x^4+12*x^3+11*x^2+10*x+9)/(-1+x^15+x^9+x^16+x^10+x^11+x^12+x^13+x^14) lgdogf] A017883 6.97337 [-1/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9-1) ogf] A017884 6.07237 [-x^8*(15*x^6+17*x^8+9+11*x^2+13*x^4+10*x+12*x^3+14*x^5+16*x^7)/(-1+x^15+x^9+x^16+x^10+x^17+x^11+x^12+x^13+x^14) lgdogf] A017884 6.78135 [-1/(x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9-1) ogf] A017885 5.88080 [-1/(x^2+x+1)/(x^6+x^3+1)/(x^10+x-1) ogf] A017885 6.50059 [-x^8*(18*x^9+17*x^8+16*x^7+15*x^6+14*x^5+13*x^4+12*x^3+11*x^2+10*x+9)/(x^2+x+1)/(x^6+x^3+1)/(x^10+x-1) lgdogf] A017886 5.50398 [-1/(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9-1) ogf] A017887 15.6841 [-1/(x^11+x^10-1) ogf] A017887 24.6379 [-x^9*(11*x+10)/(-1+x^10+x^11) lgdogf] A017888 13.6145 [-1/(x+1)/(x^11+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A017888 9.83224 [-x^9*(10+11*x+12*x^2)/(x+1)/(x^11+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) lgdogf] A017889 11.6568 [-1/(x^13+x^12+x^11+x^10-1) ogf] A017889 12.7595 [-x^9*(10+11*x+13*x^3+12*x^2)/(-1+x^10+x^11+x^12+x^13) lgdogf] A017890 10.3301 [-1/(x+1)/(x^2-x+1)/(x^11+x^10+x^9-x^6+x^3-1) ogf] A017890 8.91189 [-x^9*(12*x^2+10+11*x+13*x^3+14*x^4)/(x+1)/(x^2-x+1)/(x^11+x^10+x^9-x^6+x^3-1) lgdogf] A017891 8.48192 [-x^9*(15*x^5+14*x^4+13*x^3+12*x^2+11*x+10)/(x^4+x^3+x^2+x+1)/(x^11+x^6-x^5+x-1) lgdogf] A017891 8.91654 [-1/(x^4+x^3+x^2+x+1)/(x^11+x^6-x^5+x-1) ogf] A017892 6.20437 [-x^9*(16*x^6+15*x^5+14*x^4+13*x^3+12*x^2+11*x+10)/(x+1)/(x^15+x^13+x^11+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) lgdogf] A017892 7.58554 [-1/(x+1)/(x^15+x^13+x^11+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A017893 6.71578 [-x^9*(15*x^5+17*x^7+16*x^6+12*x^2+10+11*x+13*x^3+14*x^4)/(-1+x^16+x^10+x^17+x^11+x^12+x^13+x^14+x^15) lgdogf] A017893 7.29794 [-1/(x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10-1) ogf] A017894 5.43800 [-x^9*(15*x^5+17*x^7+10+11*x+13*x^3+14*x^4+16*x^6+12*x^2+18*x^8)/(x+1)/(x^17+x^15+x^13+x^11+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) lgdogf] A017894 6.79552 [-1/(x+1)/(x^17+x^15+x^13+x^11+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A017895 5.50279 [-x^9*(15*x^5+17*x^7+10+11*x+13*x^3+14*x^4+16*x^6+12*x^2+19*x^9+18*x^8)/(-1+x^16+x^10+x^17+x^11+x^18+x^12+x^19+x^13+x^14+x^15) lgdogf] A017895 6.23717 [-1/(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10-1) ogf] A017896 6.83736 [-1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^9+x^8-x^6-x^5+x^3+x^2-1) ogf] A017897 15.3967 [-(17-174*x+405*x^2)/(3*x-1)/(9*x-1)/(5*x-1) lgdogf] A017897 16.4400 [-1/(3*x-1)/(9*x-1)/(5*x-1) ogf] A017897 5.66419 [{a(n+3)-17*a(n+2)+87*a(n+1)-135*a(n),a(0)=1,a(1)=17,a(2)=202} ogf] A017897 5.86122 [(2650319*f(x)-1358775)*(135*f(x)*x^3-87*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A017898 12.6021 [f(x)*x^4+f(x)*x-f(x)-x+1 ogf] A017898 17.6429 [(x-1)/(x^4+x-1) ogf] A017898 27.2427 [-x^3*(3*x-4)/(-1+x)/(x^4+x-1) lgdogf] A017899 18.3516 [(x-1)/(x^2-x+1)/(x^3+x^2-1) ogf] A017899 20.1420 [-x^4*(-5+4*x)/(x-1)/(x^2-x+1)/(x^3+x^2-1) lgdogf] A017900 17.6322 [(x-1)/(x^6+x-1) ogf] A017900 28.4807 [-x^5*(5*x-6)/(x-1)/(x^6+x-1) lgdogf] A017901 18.1366 [(x-1)/(x^7+x-1) ogf] A017901 27.4756 [-x^6*(-7+6*x)/(-1+x)/(x^7+x-1) lgdogf] A017902 17.6512 [(x-1)/(x^8+x-1) ogf] A017902 27.8133 [-x^7*(-8+7*x)/(x-1)/(x^8+x-1) lgdogf] A017903 17.5174 [(x-1)/(x^9+x-1) ogf] A017903 28.7425 [-x^8*(8*x-9)/(x-1)/(x^9+x-1) lgdogf] A017904 17.2684 [(x-1)/(x^10+x-1) ogf] A017904 27.1713 [-x^9*(9*x-10)/(x-1)/(x^10+x-1) lgdogf] A017905 13.5845 [-x^10*(10*x-11)/(x-1)/(x^2-x+1)/(x^9+x^8-x^6-x^5+x^3+x^2-1) lgdogf] A017905 16.8791 [(x-1)/(x^2-x+1)/(x^9+x^8-x^6-x^5+x^3+x^2-1) ogf] A017906 16.4854 [(x-1)/(x^12+x-1) ogf] A017906 24.6142 [-x^11*(11*x-12)/(x-1)/(x^12+x-1) lgdogf] A017907 16.6028 [(x-1)/(x^13+x-1) ogf] A017907 24.9215 [-x^12*(12*x-13)/(x-1)/(x^13+x-1) lgdogf] A017908 16.8093 [(x-1)/(x^14+x-1) ogf] A017908 23.8666 [-x^13*(-14+13*x)/(-1+x)/(x^14+x-1) lgdogf] A017909 16.5874 [(x-1)/(x^15+x-1) ogf] A017909 24.4135 [-x^14*(-15+14*x)/(x-1)/(x^15+x-1) lgdogf] A017916 12.3498 [-2*(9-95*x+225*x^2)/(3*x-1)/(5*x-1)/(10*x-1) lgdogf] A017916 13.5354 [-1/(3*x-1)/(5*x-1)/(10*x-1) ogf] A017916 4.66345 [{a(n+3)-18*a(n+2)+95*a(n+1)-150*a(n),a(0)=1,a(1)=18,a(2)=229} ogf] A017916 4.91107 [(333919*f(x)-156060)*(150*f(x)*x^3-95*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A017917 12.2680 [-(19-206*x+495*x^2)/(-1+3*x)/(5*x-1)/(11*x-1) lgdogf] A017917 13.4196 [-1/(3*x-1)/(5*x-1)/(11*x-1) ogf] A017917 4.69685 [{a(n+3)-19*a(n+2)+103*a(n+1)-165*a(n),a(0)=1,a(1)=19,a(2)=258} ogf] A017917 4.73632 [(231807859*f(x)-99398475)*(165*f(x)*x^3-103*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A017918 12.2098 [-1/(12*x-1)/(3*x-1)/(5*x-1) ogf] A017918 4.27342 [{a(n+3)-20*a(n+2)+111*a(n+1)-180*a(n),a(0)=1,a(1)=20,a(2)=289} ogf] A017918 4.42079 [(3342519*f(x)-1322800)*(180*f(x)*x^3-111*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A017931 13.0103 [-2*(8-81*x+189*x^2)/(6*x-1)/(3*x-1)/(7*x-1) lgdogf] A017931 13.9322 [-1/(6*x-1)/(3*x-1)/(7*x-1) ogf] A017931 4.80018 [{a(n+3)-16*a(n+2)+81*a(n+1)-126*a(n),a(0)=1,a(1)=16,a(2)=175} ogf] A017931 5.05505 [(599909*f(x)-340844)*(126*f(x)*x^3-81*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A017932 13.4896 [-(17-180*x+432*x^2)/(6*x-1)/(3*x-1)/(8*x-1) lgdogf] A017932 14.4349 [-1/(6*x-1)/(3*x-1)/(8*x-1) ogf] A017932 4.97338 [{a(n+3)-17*a(n+2)+90*a(n+1)-144*a(n),a(0)=1,a(1)=17,a(2)=199} ogf] A017932 5.42965 [(4819*f(x)-2464)*(144*f(x)*x^3-90*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A017933 13.3239 [-1/(6*x-1)/(3*x-1)/(9*x-1) ogf] A017933 4.59059 [{a(n+3)-18*a(n+2)+99*a(n+1)-162*a(n),a(0)=1,a(1)=18,a(2)=225} ogf] A017933 4.92144 [(22631*f(x)-10476)*(162*f(x)*x^3-99*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A017952 15.5914 [-(19-216*x+540*x^2)/(6*x-1)/(3*x-1)/(10*x-1) lgdogf] A017952 16.6192 [-1/(6*x-1)/(3*x-1)/(10*x-1) ogf] A017952 5.81671 [{a(n+3)-19*a(n+2)+108*a(n+1)-180*a(n),a(0)=1,a(1)=19,a(2)=253} ogf] A017952 6.23219 [(46343*f(x)-19550)*(180*f(x)*x^3-108*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A017953 10.6553 [-2*(10-117*x+297*x^2)/(6*x-1)/(3*x-1)/(11*x-1) lgdogf] A017953 11.9400 [-1/(6*x-1)/(3*x-1)/(11*x-1) ogf] A017953 4.17898 [{a(n+3)-20*a(n+2)+117*a(n+1)-198*a(n),a(0)=1,a(1)=20,a(2)=283} ogf] A017953 4.32309 [(4607225*f(x)-1782572)*(198*f(x)*x^3-117*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A017954 10.9633 [-3*(7-84*x+216*x^2)/(-1+6*x)/(3*x-1)/(-1+12*x) lgdogf] A017954 12.2772 [-1/(6*x-1)/(3*x-1)/(12*x-1) ogf] A017954 4.29703 [{a(n+3)-21*a(n+2)+126*a(n+1)-216*a(n),a(0)=1,a(1)=21,a(2)=315} ogf] A017954 4.77449 [(381*f(x)-136)*(216*f(x)*x^3-126*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A017997 11.8899 [-2*(9-101*x+252*x^2)/(3*x-1)/(8*x-1)/(7*x-1) lgdogf] A017997 12.7314 [-1/(3*x-1)/(8*x-1)/(7*x-1) ogf] A017997 4.41916 [(1511426453*f(x)-693040320)*(168*f(x)*x^3-101*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A017997 4.45598 [{a(n+3)-18*a(n+2)+101*a(n+1)-168*a(n),a(0)=1,a(1)=18,a(2)=223} ogf] A017998 12.6370 [-(19-222*x+567*x^2)/(3*x-1)/(7*x-1)/(9*x-1) lgdogf] A017998 13.2131 [-1/(3*x-1)/(7*x-1)/(9*x-1) ogf] A017998 4.62459 [{a(n+3)-19*a(n+2)+111*a(n+1)-189*a(n),a(0)=1,a(1)=19,a(2)=250} ogf] A017998 4.74317 [(10550887*f(x)-4377807)*(189*f(x)*x^3-111*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A017999 14.9135 [-2*(10-121*x+315*x^2)/(3*x-1)/(7*x-1)/(10*x-1) lgdogf] A017999 16.6192 [-1/(3*x-1)/(7*x-1)/(10*x-1) ogf] A017999 5.72136 [(4145084101*f(x)-1566564300)*(210*f(x)*x^3-121*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A017999 5.81671 [{a(n+3)-20*a(n+2)+121*a(n+1)-210*a(n),a(0)=1,a(1)=20,a(2)=279} ogf] A018054 16.2042 [-(21-262*x+693*x^2)/(11*x-1)/(3*x-1)/(7*x-1) lgdogf] A018054 17.2611 [-1/(11*x-1)/(3*x-1)/(7*x-1) ogf] A018054 5.94235 [(6435162821*f(x)-2229475941)*(231*f(x)*x^3-131*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A018054 6.04139 [{a(n+3)-21*a(n+2)+131*a(n+1)-231*a(n),a(0)=1,a(1)=21,a(2)=310} ogf] A018055 11.0249 [-2*(9*x-1)*(42*x-11)/(-1+12*x)/(3*x-1)/(7*x-1) lgdogf] A018055 12.3447 [-1/(12*x-1)/(3*x-1)/(7*x-1) ogf] A018055 4.32064 [{a(n+3)-22*a(n+2)+141*a(n+1)-252*a(n),a(0)=1,a(1)=22,a(2)=343} ogf] A018055 4.43144 [(13239157*f(x)-4229680)*(252*f(x)*x^3-141*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A018056 11.8128 [-2*(10-123*x+324*x^2)/(3*x-1)/(9*x-1)/(-1+8*x) lgdogf] A018056 13.2131 [-1/(3*x-1)/(9*x-1)/(8*x-1) ogf] A018056 4.62459 [{a(n+3)-20*a(n+2)+123*a(n+1)-216*a(n),a(0)=1,a(1)=20,a(2)=277} ogf] A018056 4.74317 [(18922505*f(x)-7055424)*(216*f(x)*x^3-123*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A018069 12.0753 [-(21-268*x+720*x^2)/(3*x-1)/(-1+8*x)/(10*x-1) lgdogf] A018069 13.2131 [-1/(3*x-1)/(8*x-1)/(10*x-1) ogf] A018069 4.62459 [{a(n+3)-21*a(n+2)+134*a(n+1)-240*a(n),a(0)=1,a(1)=21,a(2)=307} ogf] A018069 4.66346 [(232205587*f(x)-78818400)*(240*f(x)*x^3-134*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A018070 10.9633 [-2*(11-145*x+396*x^2)/(3*x-1)/(11*x-1)/(8*x-1) lgdogf] A018070 12.2772 [-1/(3*x-1)/(11*x-1)/(8*x-1) ogf] A018070 4.19223 [(11531966929*f(x)-3586486464)*(264*f(x)*x^3-145*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A018070 4.29703 [{a(n+3)-22*a(n+2)+145*a(n+1)-264*a(n),a(0)=1,a(1)=22,a(2)=339} ogf] A018071 11.5904 [-(23-312*x+864*x^2)/(12*x-1)/(3*x-1)/(8*x-1) lgdogf] A018071 12.4122 [-1/(12*x-1)/(3*x-1)/(8*x-1) ogf] A018071 4.34426 [{a(n+3)-23*a(n+2)+156*a(n+1)-288*a(n),a(0)=1,a(1)=23,a(2)=373} ogf] A018071 4.6965 [(23163*f(x)-6640)*(288*f(x)*x^3-156*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A018090 10.7785 [-2*(11-147*x+405*x^2)/(3*x-1)/(9*x-1)/(10*x-1) lgdogf] A018090 12.0749 [-1/(3*x-1)/(9*x-1)/(10*x-1) ogf] A018090 4.22621 [{a(n+3)-22*a(n+2)+147*a(n+1)-270*a(n),a(0)=1,a(1)=22,a(2)=337} ogf] A018090 4.29784 [(51799189*f(x)-15884100)*(270*f(x)*x^3-147*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A018091 11.5260 [-(23-318*x+891*x^2)/(11*x-1)/(3*x-1)/(9*x-1) lgdogf] A018091 12.3447 [-1/(11*x-1)/(3*x-1)/(9*x-1) ogf] A018091 4.32064 [{a(n+3)-23*a(n+2)+159*a(n+1)-297*a(n),a(0)=1,a(1)=23,a(2)=370} ogf] A018091 4.43144 [(11481929*f(x)-3224529)*(297*f(x)*x^3-159*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A018092 11.6548 [-6*(4-57*x+162*x^2)/(3*x-1)/(12*x-1)/(9*x-1) lgdogf] A018092 12.4796 [-1/(3*x-1)/(12*x-1)/(9*x-1) ogf] A018092 4.36787 [{a(n+3)-24*a(n+2)+171*a(n+1)-324*a(n),a(0)=1,a(1)=24,a(2)=405} ogf] A018092 4.59776 [(495859*f(x)-128304)*(324*f(x)*x^3-171*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A018186 13.1592 [-(3+12*x+6*x^5+9*x^4+4*x^3+9*x^2)/(3*x^2+3*x+1)/(x^4+3*x^2-1) lgdogf] A018186 14.3341 [-(3*x^2+3*x+1)/(x^4+3*x^2-1) ogf] A018186 8.33717 [-(8*f(x)-11)*(f(x)*x^4+3*f(x)*x^2+3*x^2-f(x)+3*x+1) ogf] A018191 3.39688 [{(-4*n^2-20*n-24)*a(n+1)+(-2*n^2-18*n-36)*a(n+2)+(n+1)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=16} ogf] A018191 38.1183 [(2+3*x+2*x^2)/(x+1) lgdegf] A018206 10.6836 [-2*(12-173*x+495*x^2)/(3*x-1)/(-1+10*x)/(11*x-1) lgdogf] A018206 12.4796 [-1/(3*x-1)/(10*x-1)/(11*x-1) ogf] A018206 4.26134 [(31541647433*f(x)-8052828300)*(330*f(x)*x^3-173*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A018206 4.36787 [{a(n+3)-24*a(n+2)+173*a(n+1)-330*a(n),a(0)=1,a(1)=24,a(2)=403} ogf] A018207 11.0314 [-(25-372*x+1080*x^2)/(12*x-1)/(3*x-1)/(-1+10*x) lgdogf] A018207 12.6145 [-1/(12*x-1)/(3*x-1)/(10*x-1) ogf] A018207 4.41508 [{a(n+3)-25*a(n+2)+186*a(n+1)-360*a(n),a(0)=1,a(1)=25,a(2)=439} ogf] A018207 4.60705 [(2026817*f(x)-476600)*(360*f(x)*x^3-186*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A018208 11.2224 [-1/(11*x-1)/(3*x-1)/(12*x-1) ogf] A018208 3.92783 [{a(n+3)-26*a(n+2)+201*a(n+1)-396*a(n),a(0)=1,a(1)=26,a(2)=475} ogf] A018208 4.02855 [(14372247*f(x)-3091792)*(396*f(x)*x^3-201*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A018208 9.79255 [-2*(13-201*x+594*x^2)/(11*x-1)/(3*x-1)/(12*x-1) lgdogf] A018209 12.6477 [-2*(6*x-1)*(35*x-8)/(-1+4*x)/(7*x-1)/(5*x-1) lgdogf] A018209 13.8604 [-1/(4*x-1)/(7*x-1)/(5*x-1) ogf] A018209 4.77543 [(382476723*f(x)-317265200)*(140*f(x)*x^3-83*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A018209 4.77544 [{a(n+3)-16*a(n+2)+83*a(n+1)-140*a(n),a(0)=1,a(1)=16,a(2)=173} ogf] A018210 15.4679 [-4*(1+4*x+3*x^2+6*x^3)/(x-1)/(x+1)/(3*x^2+1) lgdogf] A018210 6.43234 [-(3*x^2+1)/(x+1)^3/(x-1)^7 ogf] A018211 11.2783 [-4*(1+6*x+6*x^2+16*x^3+x^4+2*x^5)/(x-1)/(x+1)/(x^4+6*x^2+1) lgdogf] A018211 4.68472 [(x^4+6*x^2+1)/(x+1)^4/(x-1)^8 ogf] A018212 10.3682 [-(5+25*x+30*x^2+70*x^3+5*x^4+9*x^5)/(-1+x)/(x+1)/(x^4+6*x^2+1) lgdogf] A018212 4.23505 [-(x^4+6*x^2+1)/(x+1)^4/(x-1)^9 ogf] A018213 9.23928 [-5*(1+7*x+11*x^5+30*x^3+5*x^4+10*x^2)/(x-1)/(1+x)/(5*x^4+10*x^2+1) lgdogf] A018214 9.17562 [-2*(3+18*x+30*x^2+80*x^3+15*x^4+30*x^5)/(-1+x)/(x+1)/(5*x^4+10*x^2+1) lgdogf] A018215 14.4214 [4*x/(4*x-1)^2 ogf] A018215 25.6610 [x/(1+(1+4*x)^(1/2))^2 revogf] A018215 6.68310 [{a(n+2)-8*a(n+1)+16*a(n),a(0)=0,a(1)=4} ogf] A018215 9.13357 [-16*f(x)*x^2+8*f(x)*x-f(x)+4*x ogf] A018217 4.45278 [{(-16*n^2-88*n-120)*a(n+1)+(8*n^2+42*n+52)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=4,a(2)=36} ogf] A018217 5.20455 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2+16*f(x)^2*x+64*f(x)*x^2-f(x)^2-32*f(x)*x+4*f(x)-16*x ogf] A018218 3.17738 [{(-16*n^2-88*n-120)*a(n+1)+(8*n^2+42*n+52)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A018218 3.74179 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2+16*f(x)^2*x+16*f(x)*x^2-f(x)^2-8*f(x)*x+f(x)-x ogf] A018227 7.48516 [2*(x^4-x^3-2*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A018240 3.36889 [-(x^4+x^3+2*x^2-1)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A018242 2.48491 [(f(x)*x-f(x)+1)^2 ogf] A018250 13.4212 [-(17-184*x+480*x^2)/(4*x-1)/(8*x-1)/(5*x-1) lgdogf] A018250 14.3631 [-1/(4*x-1)/(8*x-1)/(5*x-1) ogf] A018250 4.94864 [{a(n+3)-17*a(n+2)+92*a(n+1)-160*a(n),a(0)=1,a(1)=17,a(2)=197} ogf] A018250 5.2114 [(655683*f(x)-498800)*(160*f(x)*x^3-92*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A018823 6.93771 [-(x^34-x^33+x^20-x^19+2*x^13-2*x^12+x^11-x^10+x^7-x^6+17*x-18)/(x-1)^2 ogf] A018824 14.4091 [-(x^15-x^14+18*x-19)/(x-1)^2 ogf] A018824 15.5845 [(20-18*x+13*x^15-27*x^14+14*x^13)/(x-1)/(x^15-x^14+18*x-19) lgdogf] A018836 8.13077 [-(x+1)*(4*x^5-8*x^4+12*x^2+5*x+1)/(x-1)^3 ogf] A018836 9.12733 [(-9-46*x-32*x^5+12*x^4+32*x^3+12*x^6-53*x^2)/(x-1)/(x+1)/(4*x^5-8*x^4+12*x^2+5*x+1) lgdogf] A018837 11.7491 [x*(2*x^5-2*x^4-x^3+x^2-x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A018837 7.50558 [2*(x^2-2*x-1)*(x^4+x^3+x^2+1)/(-1+x)/(x+1)/(x^2+1)/(2*x^5-2*x^4-x^3+x^2-x+3) lgdogf] A018838 12.2856 [(-2-x^6+x^7-4*x^2+2*x^3-2*x^4)/(x-1)/(x^2+x+1)/(x^5-x^4-x^2+x+1) lgdogf] A018838 9.86285 [2*x*(x^5-x^4-x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A018839 6.24038 [4*(-2-10*x+72*x^5-2*x^6-54*x^7-9*x^8+21*x^9-40*x^3+14*x^4-24*x^2)/(x-1)/(x+1)/(12*x^8-24*x^6-20*x^5+28*x^4+20*x^3+12*x^2+5*x+1) lgdogf] A018839 6.96416 [(x+1)*(12*x^8-24*x^6-20*x^5+28*x^4+20*x^3+12*x^2+5*x+1)/(x-1)^2 ogf] A018840 6.66562 [x*(2*x^17-2*x^16+2*x^13-2*x^12+2*x^9-2*x^6-3*x^5+3*x^4-3*x^3+x^2-x+5)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A018841 8.18303 [2*x*(x^13-x^11+x^8-x^7-x^4-x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A018842 7.52240 [(x+1)*(4*x^5-8*x^4+12*x^2+5*x+1)/(x-1)^2 ogf] A018842 8.09372 [4*(-2-10*x+4*x^6-9*x^5+x^4+11*x^3-9*x^2)/(x-1)/(x+1)/(4*x^5-8*x^4+12*x^2+5*x+1) lgdogf] A018867 10.0317 [(f(x)*x-8*f(x)+2097151*x+8)^3 ogf] A018902 13.1737 [-1/2*(-1-5*x+(1+6*x+13*x^2)^(1/2))/(1+3*x) revogf] A018902 16.2734 [-(4-6*x+3*x^2)/(x-1)/(3*x^2-5*x+1) lgdogf] A018902 16.5236 [-(x-1)/(3*x^2-5*x+1) ogf] A018902 8.35461 [-(7*f(x)+1)*(3*f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A018902 9.06782 [{a(n+2)-5*a(n+1)+3*a(n),a(0)=1,a(1)=4} ogf] A018903 13.1929 [-1/2*(-1-6*x+(1+8*x+20*x^2)^(1/2))/(1+4*x) revogf] A018903 16.2971 [-(5-8*x+4*x^2)/(x-1)/(4*x^2-6*x+1) lgdogf] A018903 16.8084 [-(x-1)/(4*x^2-6*x+1) ogf] A018903 8.40419 [-(22*f(x)+3)*(4*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A018903 9.22410 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=1,a(1)=5} ogf] A018904 12.5403 [-1/2*(-1-7*x+(1+10*x+29*x^2)^(1/2))/(1+5*x) revogf] A018904 15.4066 [-(6-10*x+5*x^2)/(x-1)/(5*x^2-7*x+1) lgdogf] A018904 16.5833 [-(x-1)/(5*x^2-7*x+1) ogf] A018904 8.3848 [-(8*f(x)+1)*(5*f(x)*x^2-7*f(x)*x+f(x)+x-1) ogf] A018904 9.10057 [{a(n+2)-7*a(n+1)+5*a(n),a(0)=1,a(1)=6} ogf] A018905 3.01880 [-(x^2+2*x-2)/(x-1)/(x^2+2*x-1) ogf] A018908 10.2386 [-(2*x^3-3*x^2+5*x-3)/(x-1)/(x^3-x^2+2*x-1) ogf] A018908 5.59131 [-(f(x)+1)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+2*x^3-3*f(x)*x-3*x^2+f(x)+5*x-3) ogf] A018908 9.21477 [-(4-12*x+2*x^6-6*x^5+15*x^4-20*x^3+18*x^2)/(x-1)/(2*x^3-3*x^2+5*x-3)/(x^3-x^2+2*x-1) lgdogf] A018909 3.76901 [-(x^15+5*x^14+x^13+5*x^12-x^11+5*x^10+6*x^9-2*x^8+4*x^4-2*x^2-6)/(3*x^15-x^14+3*x^13-2*x^12+3*x^11+x^10-4*x^9+2*x^5-2*x^4-2*x^3-4*x+2) ogf] A018910 14.6542 [-(5-6*x+3*x^4+6*x^3-6*x^2)/(x-1)/(3*x^2+3*x-4)/(x^2+x-1) lgdogf] A018910 15.7602 [-(3*x^2+3*x-4)/(x-1)/(x^2+x-1) ogf] A018910 8.43729 [-(19*f(x)-43)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)+3*x-4) ogf] A018910 8.88609 [{a(n+3)-2*a(n+2)+a(n),a(0)=4,a(1)=5,a(2)=7} ogf] A018911 11.8184 [-2*(9-101*x+270*x^2)/(-1+4*x)/(9*x-1)/(5*x-1) lgdogf] A018911 12.9379 [-1/(4*x-1)/(9*x-1)/(5*x-1) ogf] A018911 4.49083 [(1119757541*f(x)-781585200)*(180*f(x)*x^3-101*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A018911 4.52825 [{a(n+3)-18*a(n+2)+101*a(n+1)-180*a(n),a(0)=1,a(1)=18,a(2)=223} ogf] A018912 12.0753 [-(19-220*x+600*x^2)/(-1+4*x)/(5*x-1)/(10*x-1) lgdogf] A018912 13.2131 [-1/(4*x-1)/(5*x-1)/(10*x-1) ogf] A018912 4.62459 [{a(n+3)-19*a(n+2)+110*a(n+1)-200*a(n),a(0)=1,a(1)=19,a(2)=251} ogf] A018912 5.04501 [(2553*f(x)-1640)*(200*f(x)*x^3-110*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A018913 13.0723 [-1/2*(-1-9*x+(11*x+1)^(1/2)*(1+7*x)^(1/2))/x revogf] A018913 17.7020 [x/(x^2-9*x+1) ogf] A018913 27.3895 [-(-9+2*x)/(x^2+1-9*x) lgdogf] A018913 7.21194 [{a(n+2)-9*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A018913 9.90115 [-f(x)*x^2+9*f(x)*x-f(x)+x ogf] A018914 10.2128 [-(x^5-x^2+x-2)/(x-1)/(x^5+x^4+x^3+2*x-1) ogf] A018914 9.53886 [-(5-6*x-x^6-4*x^4-2*x^3-2*x^7+5*x^2+x^10)/(x-1)/(x^5+x^4+x^3+2*x-1)/(x^5-x^2+x-2) lgdogf] A018916 13.5553 [-(x^2-2)/(2*x^3-4*x+1) ogf] A018916 14.1630 [-2*(x-1)*(x^3+x^2-3*x-4)/(x^2-2)/(2*x^3-4*x+1) lgdogf] A018916 6.99171 [{a(n+3)-4*a(n+2)+2*a(n),a(0)=2,a(1)=8,a(2)=31} ogf] A018916 7.29905 [(48*f(x)-31)*(2*f(x)*x^3-4*f(x)*x+x^2+f(x)-2) ogf] A018917 11.6919 [-(5+6*x+x^6-x^2-10*x^3-5*x^4)/(x-1)/(x^3-2*x-3)/(x^3+x^2-1) lgdogf] A018917 13.0717 [-(x^3-2*x-3)/(x-1)/(x^3+x^2-1) ogf] A018917 7.18355 [(9*f(x)-7)*(f(x)*x^4-f(x)*x^2+x^3-f(x)*x+f(x)-2*x-3) ogf] A018918 10.2043 [-(x^3-2*x^2+3*x-3)/(x-1)/(x^3-x^2+2*x-1) ogf] A018918 5.57257 [-(5*f(x)-9)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+3*x-3) ogf] A018919 13.5643 [-(x^2-3)/(x^3-3*x+1) ogf] A018919 17.1479 [-(9-2*x+x^4-6*x^2)/(x^2-3)/(x^3-3*x+1) lgdogf] A018919 6.99634 [{a(n+3)-3*a(n+2)+a(n),a(0)=3,a(1)=9,a(2)=26} ogf] A018919 7.30386 [(27*f(x)-26)*(f(x)*x^3-3*f(x)*x+x^2+f(x)-3) ogf] A018920 6.17916 [-(10+6*x+3*x^8-x^6-8*x^5-13*x^4-10*x^3+2*x^7-2*x^2+2*x^9+x^10)/(x-1)/(x^5+x^4+x^3-x-3)/(x^5+2*x^4+3*x^3+3*x^2+2*x-1) lgdogf] A018920 7.84746 [-(x^5+x^4+x^3-x-3)/(x-1)/(x^5+2*x^4+3*x^3+3*x^2+2*x-1) ogf] A018921 13.9198 [-(2*x^3+x^2-4)/(x-1)/(x^3+x^2+x-1) ogf] A018921 6.74432 [-2*(4-x+x^6+x^5-4*x^3-2*x^2)/(-1+x)/(2*x^3+x^2-4)/(x^3+x^2+x-1) lgdogf] A018921 7.85575 [-(3*f(x)-8)*(f(x)*x^4+2*x^3-2*f(x)*x+x^2+f(x)-4) ogf] A018922 11.8368 [-(4*x^4+2*x^3+x^2-8)/(x-1)/(x^4+x^3+x^2+x-1) ogf] A018922 8.30254 [-(16-2*x+4*x^8+3*x^6+4*x^7-16*x^4-8*x^3-4*x^2)/(-1+x)/(4*x^4+2*x^3+x^2-8)/(x^4+x^3+x^2+x-1) lgdogf] A018923 10.3948 [-(8*x^5+4*x^4+2*x^3+x^2-16)/(x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A018932 18.4789 [(5+x^2)/(x-1)/(x-3)/(x^2-x+1) lgdegf] A018932 4.19016 [-(36*f(x)-403)*(f(x)*x^3-x^4-3*f(x)*x^2+4*x^3+3*f(x)*x-4*x^2-f(x)+3*x) egf] A018932 7.46193 [x*(x-3)*(x^2-x+1)/(x-1)^3 egf] A018933 5.53734 [(3*x^5-11*x^4+16*x^3-7*x^2+3*x+2)/(x-1)^4 egf] A018933 6.76955 [(-11+5*x+28*x^3-34*x^2-15*x^4+3*x^5)/(x-1)/(3*x^5-11*x^4+16*x^3-7*x^2+3*x+2) lgdegf] A018934 5.36161 [{(-n^2+n)*a(n)-a(n+1)*n^2+(-1+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A019040 10.8292 [-2*(15*x-2)*(22*x-5)/(5*x-1)/(4*x-1)/(11*x-1) lgdogf] A019040 11.8725 [-1/(5*x-1)/(4*x-1)/(11*x-1) ogf] A019040 4.08726 [(2746515399*f(x)-1630257200)*(220*f(x)*x^3-119*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A019040 4.15538 [{a(n+3)-20*a(n+2)+119*a(n+1)-220*a(n),a(0)=1,a(1)=20,a(2)=281} ogf] A019041 11.2069 [-(21-256*x+720*x^2)/(-1+12*x)/(4*x-1)/(5*x-1) lgdogf] A019041 12.2772 [-1/(12*x-1)/(4*x-1)/(5*x-1) ogf] A019041 4.29703 [{a(n+3)-21*a(n+2)+128*a(n+1)-240*a(n),a(0)=1,a(1)=21,a(2)=313} ogf] A019041 4.5232 [(498769*f(x)-274725)*(240*f(x)*x^3-128*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A019274 11.5779 [f(x)*x^3-2*f(x)*x-2*x^2+f(x) ogf] A019274 19.7137 [2*x^2/(x-1)/(x^2+x-1) ogf] A019274 26.7476 [-(-2+3*x^2)/(x-1)/(x^2+x-1) lgdogf] A019274 7.92833 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A019298 14.1274 [-(4+10*x+3*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A019298 24.5542 [-x^2+x+4 ogf_with_Euler_transform] A019298 7.63444 [x*(x^2+x+1)/(x+1)/(x-1)^4 ogf] A019303 14.7032 [-(3*x^3+x^2-4*x-1)/(x-1)^2/(x+1)^2 ogf] A019303 16.4534 [-(-4-2*x+3*x^4+2*x^3-3*x^2)/(x-1)/(1+x)/(3*x^3+x^2-4*x-1) lgdogf] A019303 9.01608 [-(2*f(x)+97)*(f(x)*x^4-2*f(x)*x^2+3*x^3+x^2+f(x)-4*x-1) ogf] A019304 6.78385 [-(7*x^11+x^10+2*x^9+x^8-18*x^7-2*x^6-6*x^5-2*x^4+12*x^3+x^2+4*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A019316 12.7815 [-(17-188*x+504*x^2)/(6*x-1)/(7*x-1)/(-1+4*x) lgdogf] A019316 14.0040 [-1/(6*x-1)/(7*x-1)/(4*x-1) ogf] A019316 4.82492 [{a(n+3)-17*a(n+2)+94*a(n+1)-168*a(n),a(0)=1,a(1)=17,a(2)=195} ogf] A019316 4.9074 [(23049827*f(x)-18342072)*(168*f(x)*x^3-94*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A019333 11.4972 [-2*(9-104*x+288*x^2)/(-1+6*x)/(8*x-1)/(4*x-1) lgdogf] A019333 12.5938 [-1/(6*x-1)/(8*x-1)/(4*x-1) ogf] A019333 4.40782 [{a(n+3)-18*a(n+2)+104*a(n+1)-192*a(n),a(0)=1,a(1)=18,a(2)=220} ogf] A019333 4.80853 [(5599*f(x)-4104)*(192*f(x)*x^3-104*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A019425 12.3273 [x*(x^4-x^3+2*x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A019425 18.3533 [(x^2+1)*(x^2-8*x-1)/(x-1)/(x+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A019426 12.0160 [x*(x^4-x^3+3*x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A019426 17.5423 [(-1-14*x+x^4-10*x^3)/(x-1)/(1+x)/(x^4-x^3+3*x^2+x+2) lgdogf] A019427 12.2981 [x*(x^4-x^3+4*x^2+x+3)/(x-1)^2/(x+1)^2 ogf] A019427 17.9600 [(-1-20*x+x^4-12*x^3)/(x-1)/(x+1)/(x^4-x^3+4*x^2+x+3) lgdogf] A019428 12.0553 [x*(x^4-x^3+5*x^2+x+4)/(x-1)^2/(x+1)^2 ogf] A019428 17.6021 [(-1-26*x+x^4-14*x^3)/(x-1)/(1+x)/(x^4-x^3+5*x^2+x+4) lgdogf] A019429 12.1675 [x*(x^4-x^3+6*x^2+x+5)/(x-1)^2/(x+1)^2 ogf] A019429 17.7681 [(-1-32*x+x^4-16*x^3)/(x-1)/(x+1)/(x^4-x^3+6*x^2+x+5) lgdogf] A019430 12.2235 [x*(x^4-x^3+7*x^2+x+6)/(x-1)^2/(x+1)^2 ogf] A019430 17.8512 [(-1-38*x+x^4-18*x^3)/(x-1)/(x+1)/(x^4-x^3+7*x^2+x+6) lgdogf] A019431 12.1296 [x*(x^4-x^3+8*x^2+x+7)/(x-1)^2/(x+1)^2 ogf] A019431 17.7129 [(-1-44*x+x^4-20*x^3)/(x-1)/(x+1)/(x^4-x^3+8*x^2+x+7) lgdogf] A019432 12.1296 [x*(x^4-x^3+9*x^2+x+8)/(x-1)^2/(x+1)^2 ogf] A019432 17.7129 [(-1-50*x+x^4-22*x^3)/(x-1)/(x+1)/(x^4-x^3+9*x^2+x+8) lgdogf] A019433 12.0293 [x*(x^4-x^3+10*x^2+x+9)/(x-1)^2/(x+1)^2 ogf] A019433 17.4599 [(-1-56*x+x^4-24*x^3)/(x-1)/(x+1)/(x^4-x^3+10*x^2+x+9) lgdogf] A019439 7.15535 [-(1+x)*(x^9-3*x^8+2*x^6+5*x^5+5*x^4-5*x^3+9*x^2+2*x+2)/(x^5-x^4-2*x^3-2*x^2-1)/(x^6-x^5-2*x^4-3*x^3-2*x+1) lgdogf] A019439 7.95951 [-(x^5-x^4-2*x^3-2*x^2-1)/(x^6-x^5-2*x^4-3*x^3-2*x+1) ogf] A019442 10.2483 [f(x)*(f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A019442 16.0017 [(x+1)*(2*x^2-x+1)/(x-1)^2 ogf] A019442 21.3235 [2*(-1-x+x^3-3*x^2)/(x-1)/(x+1)/(2*x^2-x+1) lgdogf] A019442 8.00084 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A019443 12.2184 [-(19-228*x+648*x^2)/(6*x-1)/(-1+4*x)/(9*x-1) lgdogf] A019443 13.0755 [-1/(6*x-1)/(4*x-1)/(9*x-1) ogf] A019443 4.57642 [{a(n+3)-19*a(n+2)+114*a(n+1)-216*a(n),a(0)=1,a(1)=19,a(2)=247} ogf] A019443 4.94748 [(14413*f(x)-9720)*(216*f(x)*x^3-114*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A019449 4.94018 [-(x^8-x^7-2*x^5-x^4-x^3-2*x^2-1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A019475 8.36131 [-(2*x^10+x^2-2)/(5*x^11-x^10+2*x^3-x^2-5*x+1) ogf] A019476 10.8356 [-(10+2*x+2*x^4-7*x^2)/(x^2-2)/(2*x^3-x^2-5*x+1) lgdogf] A019476 4.57243 [{-a(n+3)+5*a(n+2)+a(n+1)-2*a(n),a(0)=2,a(1)=10,a(2)=51} ogf] A019476 4.7387 [(367*f(x)-95)*(2*f(x)*x^3-f(x)*x^2-5*f(x)*x+x^2+f(x)-2) ogf] A019476 9.14486 [-(x^2-2)/(2*x^3-x^2-5*x+1) ogf] A019477 10.3053 [-(15+2*x+6*x^4-17*x^2)/(2*x^2-3)/(3*x^3-x^2-5*x+1) lgdogf] A019477 12.4319 [-(2*x^2-3)/(3*x^3-x^2-5*x+1) ogf] A019477 6.21597 [{-a(n+3)+5*a(n+2)+a(n+1)-3*a(n),a(0)=3,a(1)=15,a(2)=76} ogf] A019477 6.32698 [(1397*f(x)-607)*(3*f(x)*x^3-f(x)*x^2-5*f(x)*x+2*x^2+f(x)-3) ogf] A019478 10.3053 [-(15+2*x+6*x^4-17*x^2)/(2*x^2-3)/(3*x^3-x^2-5*x+1) lgdogf] A019478 13.6043 [-(2*x^2-3)/(3*x^3-x^2-5*x+1) ogf] A019478 6.80214 [{-a(n+3)+5*a(n+2)+a(n+1)-3*a(n),a(0)=3,a(1)=15,a(2)=76} ogf] A019478 6.92362 [(1397*f(x)-607)*(3*f(x)*x^3-f(x)*x^2-5*f(x)*x+2*x^2+f(x)-3) ogf] A019479 10.0344 [-(2*x^3-x^2+4*x-4)/(x-1)/(x^3+2*x-1) ogf] A019479 5.47977 [-(4*f(x)-9)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+2*x^3-3*f(x)*x-x^2+f(x)+4*x-4) ogf] A019481 12.4036 [-(3*x^2-4)/(2*x^3-x^2-3*x+1) ogf] A019481 6.20182 [{-a(n+3)+3*a(n+2)+a(n+1)-2*a(n),a(0)=4,a(1)=12,a(2)=37} ogf] A019481 6.36943 [(647*f(x)-597)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+3*x^2+f(x)-4) ogf] A019482 10.6231 [-(28+2*x+15*x^4-39*x^2)/(3*x^2-4)/(5*x^3-x^2-7*x+1) lgdogf] A019482 12.0178 [-(3*x^2-4)/(5*x^3-x^2-7*x+1) ogf] A019482 5.95667 [{-a(n+3)+7*a(n+2)+a(n+1)-5*a(n),a(0)=4,a(1)=28,a(2)=197} ogf] A019482 6.0621 [(8311*f(x)-3733)*(5*f(x)*x^3-f(x)*x^2-7*f(x)*x+3*x^2+f(x)-4) ogf] A019483 12.0753 [-4*(5-62*x+180*x^2)/(6*x-1)/(-1+4*x)/(10*x-1) lgdogf] A019483 13.2131 [-1/(6*x-1)/(4*x-1)/(10*x-1) ogf] A019483 4.62459 [{a(n+3)-20*a(n+2)+124*a(n+1)-240*a(n),a(0)=1,a(1)=20,a(2)=276} ogf] A019483 4.78406 [(3304651*f(x)-2054700)*(240*f(x)*x^3-124*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A019484 4.72212 [-(4039*f(x)-6043)*(6*f(x)*x^4+5*f(x)*x^3-7*f(x)*x^2+7*x^3-6*f(x)*x+7*x^2+f(x)-7*x-8) ogf] A019484 5.98489 [-(55+98*x+42*x^6-50*x^2-178*x^3-42*x^4+84*x^5)/(7*x^3+7*x^2-7*x-8)/(6*x^4+5*x^3-7*x^2-6*x+1) lgdogf] A019484 9.01495 [-(7*x^3+7*x^2-7*x-8)/(6*x^4+5*x^3-7*x^2-6*x+1) ogf] A019485 10.4882 [-(2*x^2-x-2)/(x-1)/(3*x^2+x-1) ogf] A019485 10.9904 [-(5+4*x-12*x^2-6*x^3+6*x^4)/(x-1)/(3*x^2+x-1)/(2*x^2-x-2) lgdogf] A019485 5.66179 [{-a(n+3)+2*a(n+2)+2*a(n+1)-3*a(n),a(0)=2,a(1)=5,a(2)=12} ogf] A019485 6.95914 [(73*f(x)-58)*(3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-2) ogf] A019486 6.33448 [-(x-1)*(x^4+2*x^3+3*x^2+3*x+2)/(x^7+x^6+x^5+x^4-x^2-2*x+1) ogf] A019487 4.61759 [-(34*f(x)-13)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2+x^3-3*f(x)*x-x^2+f(x)-2) ogf] A019487 8.61388 [-(6-2*x+6*x^2-10*x^3+x^4-4*x^5+2*x^6)/(x^3-x^2-2)/(2*x^4-2*x^3+x^2-3*x+1) lgdogf] A019487 8.79241 [-(x^3-x^2-2)/(2*x^4-2*x^3+x^2-3*x+1) ogf] A019488 11.2041 [-(21-268*x+792*x^2)/(6*x-1)/(4*x-1)/(11*x-1) lgdogf] A019488 12.0074 [-1/(6*x-1)/(4*x-1)/(11*x-1) ogf] A019488 4.20259 [{a(n+3)-21*a(n+2)+134*a(n+1)-264*a(n),a(0)=1,a(1)=21,a(2)=307} ogf] A019488 4.23792 [(161990071*f(x)-93174840)*(264*f(x)*x^3-134*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A019489 10.0344 [-(x^3-x^2+2*x-3)/(x-1)/(x^3+2*x-1) ogf] A019489 5.36561 [{a(n+4)-3*a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=7,a(2)=16,a(3)=36} ogf] A019489 5.47977 [-(2*f(x)-3)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+x^3-3*f(x)*x-x^2+f(x)+2*x-3) ogf] A019490 10.5655 [-2*(11-144*x+432*x^2)/(-1+6*x)/(-1+12*x)/(4*x-1) lgdogf] A019490 12.3447 [-1/(6*x-1)/(12*x-1)/(4*x-1) ogf] A019490 4.32064 [{a(n+3)-22*a(n+2)+144*a(n+1)-288*a(n),a(0)=1,a(1)=22,a(2)=340} ogf] A019490 4.84559 [(161*f(x)-86)*(288*f(x)*x^3-144*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A019492 3.59224 [(x^24-x^23+x^22+9*x^21+2*x^20-8*x^19+2*x^5-x^4+x^3+2*x^2-x-4)/(x^24-x^23-5*x^22+x^21+5*x^20-2*x^19-x^6+x^5-x^4-x^3+x^2+2*x-1) ogf] A019493 6.77306 [-(9-14*x-15*x^6-20*x^7-27*x^2+24*x^3+33*x^4+12*x^5+x^10)/(x^6-4*x^3+3*x-1)/(x^5-7*x^2-3*x+4) lgdogf] A019493 9.22391 [-(x^5-7*x^2-3*x+4)/(x^6-4*x^3+3*x-1) ogf] A019494 10.1153 [-(3*x^3-2*x^2+2*x-4)/(x-1)/(2*x^3+2*x-1) ogf] A019494 5.64402 [(18*f(x)-7)*(2*f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+3*x^3-3*f(x)*x-2*x^2+f(x)+2*x-4) ogf] A019494 7.42557 [-(10-12*x+6*x^6+13*x^2-22*x^3+10*x^4-8*x^5)/(x-1)/(2*x^3+2*x-1)/(3*x^3-2*x^2+2*x-4) lgdogf] A019495 6.87839 [-(3*x^5-2*x^4+2*x^3-x^2+x-4)/(x-1)/(2*x^5+2*x^3+x^2+2*x-1) ogf] A019496 4.8414 [-(5*f(x)-9)*(2*f(x)*x^4-3*f(x)*x^3+3*x^3+3*f(x)*x-3*x^2-f(x)-x+4) ogf] A019496 7.46945 [-(1+x)*(6*x^5-18*x^4+21*x^3-x^2-17*x+11)/(2*x^4-3*x^3+3*x-1)/(3*x^3-3*x^2-x+4) lgdogf] A019496 8.63033 [-(3*x^3-3*x^2-x+4)/(2*x^4-3*x^3+3*x-1) ogf] A019497 18.0094 [x+1-f(x)+f(x)^3*x^2 ogf] A019497 22.4923 [-1/2+1/2*(1+4*x-4*x^3)^(1/2) revogf] A019512 11.6899 [-(19-232*x+672*x^2)/(8*x-1)/(-1+7*x)/(-1+4*x) lgdogf] A019512 12.8002 [-1/(8*x-1)/(7*x-1)/(4*x-1) ogf] A019512 4.48008 [{a(n+3)-19*a(n+2)+116*a(n+1)-224*a(n),a(0)=1,a(1)=19,a(2)=245} ogf] A019512 4.63456 [(2277969*f(x)-1560944)*(224*f(x)*x^3-116*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A019519 5.14909 [(122130*x^6-232110*x^5+99000*x^4+9900*x^3+990*x^2+89*x-1)/(100*x-1)/(x-1)^2 ogf] A019520 5.98160 [2*(11070*x^5-21060*x^4+9000*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A019525 11.4860 [-(4*x^2+x-2)/(x-1)/(3*x^2+x-1) ogf] A019525 12.7230 [-3*(2*x+1)*(2*x^3-2*x+1)/(x-1)/(3*x^2+x-1)/(4*x^2+x-2) lgdogf] A019525 6.09258 [-(f(x)-2)*(3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+x-2) ogf] A019525 6.25578 [{a(n+3)-2*a(n+2)-2*a(n+1)+3*a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A019526 10.6922 [-(2*x^4+3*x^3+2*x^2+3*x-4)/(x-1)/(x^4+x^3+x^2+x-1) ogf] A019526 7.16611 [-(5-4*x+12*x^5+6*x^6+6*x^7+2*x^8+4*x^3-8*x^4-5*x^2)/(x-1)/(2*x^4+3*x^3+2*x^2+3*x-4)/(x^4+x^3+x^2+x-1) lgdogf] A019527 5.33241 [-(3*f(x)-22)*(f(x)*x^4-f(x)*x^3-x^4+f(x)*x^2+4*x^3-2*f(x)*x-x^2+f(x)+4*x-4) ogf] A019527 9.41013 [(x^4-4*x^3+x^2-4*x+4)/(x-1)/(x^3+x-1) ogf] A019528 4.65789 [(x^10+3*x^9+x^8-x^7-9*x^6-14*x^5-15*x^4-7*x^3+x^2+5*x+5)/(x^9+x^8+2*x^7+x^6-2*x^4-2*x^3-x^2+1) ogf] A019545 10.4550 [-x*(8*x+1)/(1000*x^2-1) ogf] A019545 11.4772 [1/16*(-1+(1+32*x+4000*x^2)^(1/2))/(1+125*x) revogf] A019545 11.7505 [-8*(1+250*x+1000*x^2)/(1+8*x)/(1000*x^2-1) lgdogf] A019545 5.83534 [{-a(n+3)+1000*a(n+1),a(0)=0,a(1)=1,a(2)=8} ogf] A019545 7.60361 [f(x)*(1000*f(x)*x^2+8*x^2-f(x)+x) ogf] A019548 5.75804 [8*(331*x^6-449*x^5-1389*x^4+3551*x^3-1919*x^2+500*x+125)/(x-1)^4 ogf] A019548 5.93636 [(-1000+2338*x+662*x^6-2435*x^5+2245*x^4+2005*x^3-6815*x^2)/(x-1)/(331*x^6-449*x^5-1389*x^4+3551*x^3-1919*x^2+500*x+125) lgdogf] A019550 11.3046 [-6*(60*x^5-75*x^4-2)/(x-1)^2 ogf] A019550 13.1948 [2*(2+90*x^5+150*x^3-225*x^4)/(x-1)/(60*x^5-75*x^4-2) lgdogf] A019550 4.80060 [{(n+3)*a(n+1)+(-n-2)*a(n+2),a(0)=12,a(1)=24,a(2)=36,a(3)=48,a(4)=510} ogf] A019557 18.1971 [(7*x^2+10*x+1)/(x-1)^2 ogf] A019557 19.8670 [-12*(1+2*x)/(x-1)/(7*x^2+10*x+1) lgdogf] A019557 9.44848 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=12,a(2)=30} ogf] A019557 9.92568 [-(7*f(x)-39)*(f(x)*x^2-2*f(x)*x-7*x^2+f(x)-10*x-1) ogf] A019558 3.68625 [-(320*f(x)+25741)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-140*x^3-4*f(x)*x-198*x^2+f(x)-44*x-1) ogf] A019558 6.55332 [(x^4+140*x^3+198*x^2+44*x+1)/(x-1)^4 ogf] A019558 9.60784 [-48*(1+11*x+3*x^3+17*x^2)/(x-1)/(x^4+140*x^3+198*x^2+44*x+1) lgdogf] A019559 12.6687 [-2*(3*x^4+3*x^3+3*x^2+2*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A019559 7.89673 [-(2+6*x+3*x^8+12*x^3+9*x^2+10*x^4+8*x^5+9*x^6+6*x^7)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+3*x^3+3*x^2+2*x+2) lgdogf] A019560 10.6008 [-32*(x+1)*(1+6*x+x^2)/(x-1)/(x^4+28*x^3+70*x^2+28*x+1) lgdogf] A019560 3.78006 [-(35*f(x)+969)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-28*x^3-4*f(x)*x-70*x^2+f(x)-28*x-1) ogf] A019560 3.85467 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+36)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=32} ogf] A019560 6.65807 [(x^4+28*x^3+70*x^2+28*x+1)/(x-1)^4 ogf] A019561 3.77254 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+54)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=50} ogf] A019561 5.26079 [-(x+1)*(x^4+44*x^3+166*x^2+44*x+1)/(x-1)^5 ogf] A019561 7.89286 [-10*(x^2+10*x+5)*(5*x^2+10*x+1)/(x-1)/(x+1)/(x^4+44*x^3+166*x^2+44*x+1) lgdogf] A019562 5.09526 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+76)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=72} ogf] A019562 6.05062 [(x^2+6*x+1)*(x^4+60*x^3+134*x^2+60*x+1)/(x-1)^6 ogf] A019562 6.34746 [-24*(x+3)*(3*x+1)*(x+1)*(x^2+14*x+1)/(x-1)/(x^2+6*x+1)/(x^4+60*x^3+134*x^2+60*x+1) lgdogf] A019563 3.59611 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+102)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=98} ogf] A019563 3.64374 [-(x+1)*(x^6+90*x^5+911*x^4+2092*x^3+911*x^2+90*x+1)/(x-1)^7 ogf] A019563 5.27295 [-14*(7*x^3+35*x^2+21*x+1)*(x^3+21*x^2+35*x+7)/(x-1)/(x+1)/(x^6+90*x^5+911*x^4+2092*x^3+911*x^2+90*x+1) lgdogf] A019564 3.34588 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+132)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=128} ogf] A019579 6.79310 [-(9*x^6-35*x^5+41*x^4+5*x^3-45*x^2+35*x+2)/(x-1)^5 ogf] A019579 7.98826 [(-45-50*x+9*x^6-54*x^5+134*x^4-174*x^3+120*x^2)/(-1+x)/(9*x^6-35*x^5+41*x^4+5*x^3-45*x^2+35*x+2) lgdogf] A019582 22.2413 [-12*(1+3*x+x^2)/(x-1)/(4*x^2+7*x+1) lgdogf] A019582 4.20171 [{(-112*n^2-396*n-344)*a(n+1)+(3*n^2-676*n-948)*a(n+2)+(109*n^2+188*n+79)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A019582 9.03125 [-x^2*(4*x^2+7*x+1)/(x-1)^5 ogf] A019583 10.7656 [-12*(x+1)*(2*x^2+11*x+2)/(x-1)/(8*x^3+33*x^2+18*x+1) lgdogf] A019583 5.34409 [x^2*(8*x^3+33*x^2+18*x+1)/(x-1)^6 ogf] A019584 10.9963 [-6*(3+15*x+x^3+11*x^2)/(x-1)/(2*x^3+15*x^2+12*x+1) lgdogf] A019584 5.24978 [x^2*(2*x^3+15*x^2+12*x+1)/(x-1)^6 ogf] A019590 124.542 [1/(x+1) lgdogf] A019590 17.074 [1+x-f(x) ogf] A019590 21.9020 [[1-x] ogf_with_Euler_transform] A019590 41.5138 [2*x/(1+(1+2*x)^(1/2)) revegf] A019590 9.21998 [{a(n+2),a(0)=1,a(1)=1} ogf] A019613 11.8128 [-2*(10-127*x+378*x^2)/(-1+4*x)/(9*x-1)/(7*x-1) lgdogf] A019613 13.2131 [-1/(4*x-1)/(9*x-1)/(7*x-1) ogf] A019613 4.54878 [(3853625455*f(x)-2432647728)*(252*f(x)*x^3-127*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A019613 4.62459 [{a(n+3)-20*a(n+2)+127*a(n+1)-252*a(n),a(0)=1,a(1)=20,a(2)=273} ogf] A019618 12.0753 [-3*(7-92*x+280*x^2)/(-1+4*x)/(7*x-1)/(10*x-1) lgdogf] A019618 13.2131 [-1/(4*x-1)/(7*x-1)/(10*x-1) ogf] A019618 4.62459 [{a(n+3)-21*a(n+2)+138*a(n+1)-280*a(n),a(0)=1,a(1)=21,a(2)=303} ogf] A019618 4.70298 [(63622043*f(x)-37053800)*(280*f(x)*x^3-138*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A019623 12.2098 [-1/(11*x-1)/(7*x-1)/(4*x-1) ogf] A019623 4.20337 [(9337392789*f(x)-5032630064)*(308*f(x)*x^3-149*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A019623 4.27342 [{a(n+3)-22*a(n+2)+149*a(n+1)-308*a(n),a(0)=1,a(1)=22,a(2)=335} ogf] A019628 11.0865 [-(23-320*x+1008*x^2)/(12*x-1)/(-1+4*x)/(7*x-1) lgdogf] A019628 12.4122 [-1/(12*x-1)/(4*x-1)/(7*x-1) ogf] A019628 4.34426 [{a(n+3)-23*a(n+2)+160*a(n+1)-336*a(n),a(0)=1,a(1)=23,a(2)=369} ogf] A019628 4.53314 [(1688732*f(x)-845397)*(336*f(x)*x^3-160*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A019664 12.0753 [-(21-280*x+864*x^2)/(-1+4*x)/(9*x-1)/(-1+8*x) lgdogf] A019664 13.2131 [-1/(4*x-1)/(9*x-1)/(8*x-1) ogf] A019664 4.62459 [{a(n+3)-21*a(n+2)+140*a(n+1)-288*a(n),a(0)=1,a(1)=21,a(2)=301} ogf] A019664 4.86799 [(925817*f(x)-540432)*(288*f(x)*x^3-140*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A019671 11.3206 [-2*(11-152*x+480*x^2)/(-1+4*x)/(-1+8*x)/(10*x-1) lgdogf] A019671 13.2131 [-1/(4*x-1)/(8*x-1)/(10*x-1) ogf] A019671 4.62459 [{a(n+3)-22*a(n+2)+152*a(n+1)-320*a(n),a(0)=1,a(1)=22,a(2)=332} ogf] A019671 4.86799 [(320439*f(x)-172600)*(320*f(x)*x^3-152*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A019672 11.2699 [-(23-328*x+1056*x^2)/(11*x-1)/(8*x-1)/(4*x-1) lgdogf] A019672 12.3447 [-1/(11*x-1)/(8*x-1)/(4*x-1) ogf] A019672 4.32064 [{a(n+3)-23*a(n+2)+164*a(n+1)-352*a(n),a(0)=1,a(1)=23,a(2)=365} ogf] A019672 4.43144 [(15656541*f(x)-7804016)*(352*f(x)*x^3-164*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A019677 14.5259 [-8*(3-44*x+144*x^2)/(8*x-1)/(12*x-1)/(-1+4*x) lgdogf] A019677 15.8439 [-1/(8*x-1)/(12*x-1)/(4*x-1) ogf] A019677 5.54536 [{a(n+3)-24*a(n+2)+176*a(n+1)-384*a(n),a(0)=1,a(1)=24,a(2)=400} ogf] A019677 5.94146 [(22631*f(x)-10476)*(384*f(x)*x^3-176*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A019682 17.4038 [-1/(4*x-1)/(9*x-1)/(10*x-1) ogf] A019682 6.09132 [{a(n+3)-23*a(n+2)+166*a(n+1)-360*a(n),a(0)=1,a(1)=23,a(2)=363} ogf] A019682 6.19457 [(77045969*f(x)-38248200)*(360*f(x)*x^3-166*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A019687 13.8451 [-2*(12-179*x+594*x^2)/(9*x-1)/(-1+4*x)/(11*x-1) lgdogf] A019687 15.7738 [-1/(9*x-1)/(4*x-1)/(11*x-1) ogf] A019687 5.34273 [(26329285907*f(x)-12092865840)*(396*f(x)*x^3-179*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A019687 5.52082 [{a(n+3)-24*a(n+2)+179*a(n+1)-396*a(n),a(0)=1,a(1)=24,a(2)=397} ogf] A019722 11.2097 [-(25-384*x+1296*x^2)/(12*x-1)/(-1+4*x)/(9*x-1) lgdogf] A019722 12.5471 [-1/(12*x-1)/(4*x-1)/(9*x-1) ogf] A019722 4.39148 [{a(n+3)-25*a(n+2)+192*a(n+1)-432*a(n),a(0)=1,a(1)=25,a(2)=433} ogf] A019722 4.74755 [(19565*f(x)-8343)*(432*f(x)*x^3-192*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A019742 10.6836 [-(25-388*x+1320*x^2)/(-1+10*x)/(-1+4*x)/(11*x-1) lgdogf] A019742 12.4796 [-1/(10*x-1)/(4*x-1)/(11*x-1) ogf] A019742 4.33177 [(1298618157*f(x)-549993400)*(440*f(x)*x^3-194*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A019742 4.36787 [{a(n+3)-25*a(n+2)+194*a(n+1)-440*a(n),a(0)=1,a(1)=25,a(2)=431} ogf] A019747 12.7495 [-1/(12*x-1)/(4*x-1)/(10*x-1) ogf] A019747 4.46231 [{a(n+3)-26*a(n+2)+208*a(n+1)-480*a(n),a(0)=1,a(1)=26,a(2)=468} ogf] A019747 4.82412 [(10303*f(x)-4050)*(480*f(x)*x^3-208*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A019752 10.0657 [-(27-448*x+1584*x^2)/(11*x-1)/(12*x-1)/(4*x-1) lgdogf] A019752 16.4047 [-1/(11*x-1)/(12*x-1)/(4*x-1) ogf] A019752 5.74166 [{a(n+3)-27*a(n+2)+224*a(n+1)-528*a(n),a(0)=1,a(1)=27,a(2)=505} ogf] A019752 5.88888 [(11428402*f(x)-4152357)*(528*f(x)*x^3-224*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A019757 12.9154 [-2*(9-107*x+315*x^2)/(6*x-1)/(7*x-1)/(5*x-1) lgdogf] A019757 18.9142 [-1/(6*x-1)/(7*x-1)/(5*x-1) ogf] A019757 6.51146 [(1270750247*f(x)-1181306700)*(210*f(x)*x^3-107*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A019757 6.61998 [{a(n+3)-18*a(n+2)+107*a(n+1)-210*a(n),a(0)=1,a(1)=18,a(2)=217} ogf] A019783 12.1664 [-(19-236*x+720*x^2)/(6*x-1)/(8*x-1)/(5*x-1) lgdogf] A019783 12.7314 [-1/(6*x-1)/(8*x-1)/(5*x-1) ogf] A019783 4.45598 [{a(n+3)-19*a(n+2)+118*a(n+1)-240*a(n),a(0)=1,a(1)=19,a(2)=243} ogf] A019783 4.53152 [(67198859*f(x)-58773600)*(240*f(x)*x^3-118*f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A019793 12.3498 [-2*(15*x-2)*(27*x-5)/(6*x-1)/(9*x-1)/(5*x-1) lgdogf] A019793 13.2131 [-1/(6*x-1)/(9*x-1)/(5*x-1) ogf] A019793 4.62459 [{a(n+3)-20*a(n+2)+129*a(n+1)-270*a(n),a(0)=1,a(1)=20,a(2)=271} ogf] A019793 4.78406 [(2052649*f(x)-1676700)*(270*f(x)*x^3-129*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A019839 15.5914 [-(21-280*x+900*x^2)/(6*x-1)/(5*x-1)/(10*x-1) lgdogf] A019839 16.6192 [-1/(6*x-1)/(5*x-1)/(10*x-1) ogf] A019839 5.81671 [{a(n+3)-21*a(n+2)+140*a(n+1)-300*a(n),a(0)=1,a(1)=21,a(2)=301} ogf] A019839 6.34551 [(3901*f(x)-2970)*(300*f(x)*x^3-140*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A019854 15.5648 [-2*(11-151*x+495*x^2)/(6*x-1)/(5*x-1)/(11*x-1) lgdogf] A019854 17.3324 [-1/(6*x-1)/(5*x-1)/(11*x-1) ogf] A019854 5.96691 [(8263830211*f(x)-5867858700)*(330*f(x)*x^3-151*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A019854 6.06635 [{a(n+3)-22*a(n+2)+151*a(n+1)-330*a(n),a(0)=1,a(1)=22,a(2)=333} ogf] A019869 11.3328 [-(23-324*x+1080*x^2)/(12*x-1)/(6*x-1)/(5*x-1) lgdogf] A019869 12.4122 [-1/(12*x-1)/(6*x-1)/(5*x-1) ogf] A019869 4.34426 [{a(n+3)-23*a(n+2)+162*a(n+1)-360*a(n),a(0)=1,a(1)=23,a(2)=367} ogf] A019869 4.57291 [(520549*f(x)-345400)*(360*f(x)*x^3-162*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A019928 11.7542 [-2*(15*x-2)*(28*x-5)/(8*x-1)/(-1+7*x)/(5*x-1) lgdogf] A019928 12.8690 [-1/(8*x-1)/(7*x-1)/(5*x-1) ogf] A019928 4.43032 [(3704918451*f(x)-3158187200)*(280*f(x)*x^3-131*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A019928 4.50416 [{a(n+3)-20*a(n+2)+131*a(n+1)-280*a(n),a(0)=1,a(1)=20,a(2)=269} ogf] A019943 15.9540 [-(21-286*x+945*x^2)/(9*x-1)/(7*x-1)/(5*x-1) lgdogf] A019943 16.6192 [-1/(9*x-1)/(7*x-1)/(5*x-1) ogf] A019943 5.72136 [(5969279573*f(x)-4774409325)*(315*f(x)*x^3-143*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A019943 5.81671 [{a(n+3)-21*a(n+2)+143*a(n+1)-315*a(n),a(0)=1,a(1)=21,a(2)=298} ogf] A019958 11.8128 [-2*(11-155*x+525*x^2)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A019958 13.2131 [-1/(7*x-1)/(5*x-1)/(10*x-1) ogf] A019958 4.62459 [{a(n+3)-22*a(n+2)+155*a(n+1)-350*a(n),a(0)=1,a(1)=22,a(2)=329} ogf] A019958 4.78406 [(2970651*f(x)-2221660)*(350*f(x)*x^3-155*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A019992 11.5146 [-(21+8*x-2*x^5-12*x^4-6*x^3-10*x^2+2*x^6+x^8)/(x^5+x^3-x^2-4*x+1)/(x^4+x^2-x-5) lgdogf] A019992 11.9849 [-(x^4+x^2-x-5)/(x^5+x^3-x^2-4*x+1) ogf] A019999 2.91683 [{(-2*n^2-12*n-16)*a(n+1)+(2*n^2+19*n+39)*a(n+2)+(-n-3)*a(n+3),a(0)=4,a(1)=36,a(2)=384} ogf] A019999 20.5634 [-3*(3+2*x)/(x+1)/(2*x-1) lgdegf] A019999 3.82281 [(16983*f(x)+78220)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-4*x-4) egf] A019999 7.88455 [4*(x+1)/(2*x-1)^4 egf] A020000 11.2069 [-(23-334*x+1155*x^2)/(7*x-1)/(5*x-1)/(11*x-1) lgdogf] A020000 12.2772 [-1/(7*x-1)/(5*x-1)/(11*x-1) ogf] A020000 4.19223 [(13985045997*f(x)-9776476325)*(385*f(x)*x^3-167*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A020000 4.29703 [{a(n+3)-23*a(n+2)+167*a(n+1)-385*a(n),a(0)=1,a(1)=23,a(2)=362} ogf] A020332 10.0206 [-(720*x^16-768*x^15+36*x^4-48*x^3-5)/(x-1)^2 ogf] A020332 8.04401 [2*(5+36*x^4-96*x^3+72*x^2+5760*x^14-10752*x^15+5040*x^16)/(x-1)/(720*x^16-768*x^15+36*x^4-48*x^3-5) lgdogf] A020335 13.3809 [-2*(126*x^7-147*x^6-4)/(x-1)^2 ogf] A020335 14.5606 [2*(4+441*x^5-735*x^6+315*x^7)/(x-1)/(126*x^7-147*x^6-4) lgdogf] A020335 4.77329 [{(n+3)*a(n+1)+(-n-2)*a(n+2),a(0)=8,a(1)=16,a(2)=24,a(3)=32,a(4)=40,a(5)=48,a(6)=350} ogf] A020336 13.5702 [-(392*x^8-448*x^7-9)/(x-1)^2 ogf] A020336 14.0066 [2*(9+1176*x^8-2688*x^7+1568*x^6)/(x-1)/(392*x^8-448*x^7-9) lgdogf] A020336 4.49882 [{(n+3)*a(n+1)+(-n-2)*a(n+2),a(0)=9,a(1)=18,a(2)=27,a(3)=36,a(4)=45,a(5)=54,a(6)=63,a(7)=520} ogf] A020337 13.1532 [-2*(288*x^9-324*x^8-5)/(x-1)^2 ogf] A020337 13.7963 [2*(5-2268*x^8+1008*x^9+1296*x^7)/(x-1)/(288*x^9-324*x^8-5) lgdogf] A020337 4.11869 [{(n+3)*a(n+1)+(-n-2)*a(n+2),a(0)=10,a(1)=20,a(2)=30,a(3)=40,a(4)=50,a(5)=60,a(6)=70,a(7)=80,a(8)=738} ogf] A020338 13.0297 [2*(11+4050*x^8+3240*x^10-7200*x^9)/(x-1)/(810*x^10-900*x^9-11) lgdogf] A020338 13.0660 [-(810*x^10-900*x^9-11)/(x-1)^2 ogf] A020341 11.0865 [-2*(12-179*x+630*x^2)/(12*x-1)/(7*x-1)/(5*x-1) lgdogf] A020341 12.4122 [-1/(12*x-1)/(7*x-1)/(5*x-1) ogf] A020341 4.20412 [(20479638419*f(x)-13399873200)*(420*f(x)*x^3-179*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A020341 4.34426 [{a(n+3)-24*a(n+2)+179*a(n+1)-420*a(n),a(0)=1,a(1)=24,a(2)=397} ogf] A020343 11.8128 [-2*(11-157*x+540*x^2)/(9*x-1)/(-1+8*x)/(5*x-1) lgdogf] A020343 13.2131 [-1/(9*x-1)/(8*x-1)/(5*x-1) ogf] A020343 4.54878 [(1409369131*f(x)-1075809600)*(360*f(x)*x^3-157*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A020343 4.62459 [{a(n+3)-22*a(n+2)+157*a(n+1)-360*a(n),a(0)=1,a(1)=22,a(2)=327} ogf] A020346 11.8128 [-(23-340*x+1200*x^2)/(-1+8*x)/(5*x-1)/(10*x-1) lgdogf] A020346 13.2131 [-1/(8*x-1)/(5*x-1)/(10*x-1) ogf] A020346 4.62459 [{a(n+3)-23*a(n+2)+170*a(n+1)-400*a(n),a(0)=1,a(1)=23,a(2)=359} ogf] A020346 4.86799 [(152817*f(x)-109280)*(400*f(x)*x^3-170*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A020447 11.5904 [-6*(4-61*x+220*x^2)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A020447 12.4122 [-1/(5*x-1)/(11*x-1)/(8*x-1) ogf] A020447 4.27304 [(7650718621*f(x)-5120526400)*(440*f(x)*x^3-183*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A020447 4.34426 [{a(n+3)-24*a(n+2)+183*a(n+1)-440*a(n),a(0)=1,a(1)=24,a(2)=393} ogf] A020448 11.3958 [-(25-392*x+1440*x^2)/(12*x-1)/(8*x-1)/(5*x-1) lgdogf] A020448 12.4796 [-1/(12*x-1)/(8*x-1)/(5*x-1) ogf] A020448 4.36787 [{a(n+3)-25*a(n+2)+196*a(n+1)-480*a(n),a(0)=1,a(1)=25,a(2)=429} ogf] A020448 4.4419 [(32746549*f(x)-20530800)*(480*f(x)*x^3-196*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A020494 11.0249 [-2*(12-185*x+675*x^2)/(9*x-1)/(5*x-1)/(10*x-1) lgdogf] A020494 12.3447 [-1/(9*x-1)/(5*x-1)/(10*x-1) ogf] A020494 4.32064 [{a(n+3)-24*a(n+2)+185*a(n+1)-450*a(n),a(0)=1,a(1)=24,a(2)=391} ogf] A020494 4.46964 [(7784497*f(x)-5253660)*(450*f(x)*x^3-185*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A020499 11.3958 [-(25-398*x+1485*x^2)/(9*x-1)/(5*x-1)/(11*x-1) lgdogf] A020499 12.4796 [-1/(9*x-1)/(5*x-1)/(11*x-1) ogf] A020499 4.22697 [(36460239949*f(x)-23045336325)*(495*f(x)*x^3-199*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A020499 4.36787 [{a(n+3)-25*a(n+2)+199*a(n+1)-495*a(n),a(0)=1,a(1)=25,a(2)=426} ogf] A020514 6.11931 [-(1984*x^4-2480*x^3+930*x^2-124*x+5)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A020515 4.28881 [(63*f(x)-107)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A020515 4.32642 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A020515 7.17961 [-(3-16*x+48*x^4-64*x^3+38*x^2)/(-1+x)/(2*x-1)/(4*x-1)/(6*x^2-4*x+1) lgdogf] A020515 7.95503 [-(6*x^2-4*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A020517 5.26577 [(252801*f(x)-65633)*(512*f(x)*x^3-584*f(x)*x^2+73*f(x)*x+584*x^2-f(x)-146*x+3) ogf] A020517 5.61393 [{-a(n+3)+73*a(n+2)-584*a(n+1)+512*a(n),a(0)=3,a(1)=73,a(2)=4161} ogf] A020517 9.70407 [-(584*x^2-146*x+3)/(x-1)/(8*x-1)/(64*x-1) ogf] A020518 6.28322 [-(704*x^4-544*x^3+174*x^2-20*x+1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A020520 10.8265 [-(52*x^2-8*x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A020520 5.72131 [(71925*f(x)-35501)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+52*x^2-f(x)-8*x+1) ogf] A020520 5.96374 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=13,a(2)=241} ogf] A020520 6.24757 [-(13-64*x+3328*x^4-1024*x^3-228*x^2)/(x-1)/(4*x-1)/(-1+16*x)/(52*x^2-8*x+1) lgdogf] A020522 12.0571 [-8*f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A020522 19.2263 [2*x/(4*x-1)/(2*x-1) ogf] A020522 21.2641 [-1/8*(-1-3*x+(1+6*x+x^2)^(1/2))/x revogf] A020522 24.1971 [-2*(-3+8*x)/(-1+4*x)/(-1+2*x) lgdogf] A020522 8.78237 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=0,a(1)=2} ogf] A020523 11.3522 [-(22*x-1)/(x-1)/(8*x-1)/(4*x-1) ogf] A020523 5.34775 [(12276159*f(x)-14234072)*(32*f(x)*x^3-44*f(x)*x^2+13*f(x)*x-f(x)+22*x-1) ogf] A020523 5.53058 [{a(n+3)-13*a(n+2)+44*a(n+1)-32*a(n),a(0)=-1,a(1)=9,a(2)=161} ogf] A020523 9.52036 [-(9+88*x-1064*x^2+1408*x^3)/(x-1)/(-1+8*x)/(22*x-1)/(-1+4*x) lgdogf] A020524 11.0300 [-2*x*(40*x+1)/(16*x-1)/(8*x-1)/(2*x-1) ogf] A020524 5.88888 [{a(n+3)-26*a(n+2)+176*a(n+1)-256*a(n),a(0)=0,a(1)=2,a(2)=132} ogf] A020524 6.09551 [(33*f(x)+1)*(256*f(x)*x^3-176*f(x)*x^2+26*f(x)*x+80*x^2-f(x)+2*x) ogf] A020524 7.01549 [-2*(33-176*x+10240*x^3-3136*x^2)/(40*x+1)/(2*x-1)/(8*x-1)/(16*x-1) lgdogf] A020525 3.40865 [(202529319298695*f(x)+248754775377068)*(2048*f(x)*x^4-2752*f(x)*x^3+756*f(x)*x^2-53*f(x)*x-1444*x^2+f(x)+50*x-1) ogf] A020525 7.06672 [(1444*x^2-50*x+1)/(x-1)/(4*x-1)/(16*x-1)/(32*x-1) ogf] A020526 3.64656 [-(93985236095275*f(x)+149055611562757)*(32768*f(x)*x^4-22016*f(x)*x^3+3024*f(x)*x^2-31232*x^3-106*f(x)*x-1120*x^2+f(x)-2*x) ogf] A020526 7.21470 [2*x*(15616*x^2+560*x+1)/(64*x-1)/(2*x-1)/(8*x-1)/(32*x-1) ogf] A020527 4.49067 [(13503*f(x)-23062)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-4*x^2-f(x)+6*x+1) ogf] A020527 4.68591 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=13,a(2)=73} ogf] A020527 7.74562 [-(-13+36*x+32*x^4-96*x^3+32*x^2)/(x-1)/(2*x-1)/(4*x-1)/(4*x^2-6*x-1) lgdogf] A020527 8.69161 [(4*x^2-6*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A020528 10.7357 [-18*x/(8*x-1)/(2*x-1)/(4*x-1) ogf] A020528 12.3185 [-2*(7-56*x+96*x^2)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A020528 4.49613 [{a(n+3)-14*a(n+2)+56*a(n+1)-64*a(n),a(0)=0,a(1)=18,a(2)=252} ogf] A020528 6.49442 [64*f(x)*x^3-56*f(x)*x^2+14*f(x)*x-f(x)+18*x ogf] A020529 3.99947 [(132026124685*f(x)+378159586804)*(512*f(x)*x^4-736*f(x)*x^3+252*f(x)*x^2+448*x^3-29*f(x)*x-616*x^2+f(x)-148*x+1) ogf] A020529 7.64342 [-(448*x^3-616*x^2-148*x+1)/(x-1)/(4*x-1)/(8*x-1)/(16*x-1) ogf] A020530 11.4710 [-3*(6*x-1)/(8*x-1)/(2*x-1) ogf] A020530 12.2462 [-1/4*(-3-10*x+(9-12*x+36*x^2)^(1/2))/(9+8*x) revogf] A020530 13.1423 [-4*(1-8*x+24*x^2)/(6*x-1)/(8*x-1)/(2*x-1) lgdogf] A020530 5.98489 [-(5*f(x)-3)*(16*f(x)*x^2-10*f(x)*x+f(x)+18*x-3) ogf] A020530 6.47776 [{a(n+2)-10*a(n+1)+16*a(n),a(0)=3,a(1)=12} ogf] A020531 10.5033 [-(116*x^2-76*x+5)/(x-1)/(4*x-1)/(16*x-1) ogf] A020531 5.33122 [-(727325*f(x)+1063291)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+116*x^2-f(x)-76*x+5) ogf] A020531 5.93124 [-(29-608*x+7424*x^4-9728*x^3+4908*x^2)/(x-1)/(4*x-1)/(-1+16*x)/(116*x^2-76*x+5) lgdogf] A020531 5.96374 [{-a(n+3)+21*a(n+2)-84*a(n+1)+64*a(n),a(0)=5,a(1)=29,a(2)=305} ogf] A020532 5.04866 [-(19085*f(x)+68428)*(512*f(x)*x^3-336*f(x)*x^2+42*f(x)*x+1040*x^2-f(x)-266*x+8) ogf] A020532 5.54935 [{-a(n+3)+42*a(n+2)-336*a(n+1)+512*a(n),a(0)=8,a(1)=70,a(2)=1292} ogf] A020532 5.69624 [-(35-1648*x-136192*x^3+266240*x^4+28992*x^2)/(2*x-1)/(8*x-1)/(32*x-1)/(520*x^2-133*x+4) lgdogf] A020532 9.45734 [-2*(520*x^2-133*x+4)/(2*x-1)/(8*x-1)/(32*x-1) ogf] A020533 3.7628 [(8422572107565*f(x)+22699420449859)*(4096*f(x)*x^4-5440*f(x)*x^3+1428*f(x)*x^2+11584*x^3-85*f(x)*x-9672*x^2+f(x)+936*x-13) ogf] A020533 7.06010 [-(11584*x^3-9672*x^2+936*x-13)/(x-1)/(4*x-1)/(64*x-1)/(16*x-1) ogf] A020534 5.58558 [-3*(75264*x^3-24592*x^2+1054*x-7)/(2*x-1)/(8*x-1)/(128*x-1)/(32*x-1) ogf] A020535 4.68529 [-(4771840*x^4-4589056*x^3+550716*x^2-10609*x+34)/(x-1)/(4*x-1)/(256*x-1)/(64*x-1)/(16*x-1) ogf] A020536 4.17468 [-(191954944*x^4-74711552*x^3+3895584*x^2-35132*x+55)/(512*x-1)/(2*x-1)/(8*x-1)/(128*x-1)/(32*x-1) ogf] A020537 11.9004 [-2*(-13+16*x+128*x^2)/(-1+8*x)/(-1+2*x)/(1+16*x) lgdogf] A020537 13.2842 [-1/32*(-1-10*x+(1+84*x+36*x^2)^(1/2))/(x-1) revogf] A020537 15.0323 [(16*x+1)/(8*x-1)/(2*x-1) ogf] A020537 7.92914 [(57*f(x)+112)*(16*f(x)*x^2-10*f(x)*x+f(x)-16*x-1) ogf] A020537 8.48884 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=1,a(1)=26} ogf] A020538 10.0287 [(32*x^2-76*x-1)/(x-1)/(4*x-1)/(16*x-1) ogf] A020538 5.13097 [(5232885*f(x)-10469848)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-32*x^2-f(x)+76*x+1) ogf] A020538 5.56214 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=97,a(2)=1921} ogf] A020538 6.31729 [-(-97+232*x-9728*x^3+2048*x^4+5520*x^2)/(x-1)/(-1+4*x)/(16*x-1)/(32*x^2-76*x-1) lgdogf] A020539 4.71132 [(6937215*f(x)-36356464)*(512*f(x)*x^3-336*f(x)*x^2+42*f(x)*x+256*x^2-f(x)+320*x+1) ogf] A020539 5.09435 [{a(n+3)-42*a(n+2)+336*a(n+1)-512*a(n),a(0)=1,a(1)=362,a(2)=15124} ogf] A020539 6.13202 [-2*(181-80*x+65536*x^4+163840*x^3-58368*x^2)/(32*x-1)/(2*x-1)/(8*x-1)/(256*x^2+320*x+1) lgdogf] A020539 8.95150 [-(256*x^2+320*x+1)/(2*x-1)/(8*x-1)/(32*x-1) ogf] A020540 12.4525 [4*(4*x+1)/(8*x-1)/(2*x-1) ogf] A020540 13.6266 [-2*(-7+16*x+32*x^2)/(4*x+1)/(8*x-1)/(2*x-1) lgdogf] A020540 14.2913 [-1/16*(-2-5*x+(4+36*x+9*x^2)^(1/2))/(x-1) revogf] A020540 6.42711 [(765*f(x)+6544)*(16*f(x)*x^2-10*f(x)*x+f(x)-16*x-4) ogf] A020540 7.03201 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=4,a(1)=56} ogf] A020541 10.1810 [(64*x^2-104*x-5)/(x-1)/(4*x-1)/(16*x-1) ogf] A020541 5.20708 [(17143975*f(x)-47656784)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-64*x^2-f(x)+104*x+5) ogf] A020541 5.68439 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=5,a(1)=209,a(2)=3905} ogf] A020541 5.99382 [-(32*x^2-88*x+11)*(128*x^2-64*x-19)/(x-1)/(4*x-1)/(16*x-1)/(64*x^2-104*x-5) lgdogf] A020542 10.7669 [-6*(88*x+1)/(2*x-1)/(8*x-1)/(32*x-1) ogf] A020542 5.16811 [(62644695*f(x)-496683968)*(512*f(x)*x^3-336*f(x)*x^2+42*f(x)*x-f(x)+528*x+6) ogf] A020542 5.25214 [{a(n+3)-42*a(n+2)+336*a(n+1)-512*a(n),a(0)=6,a(1)=780,a(2)=30744} ogf] A020542 8.08433 [-2*(65-336*x-14016*x^2+45056*x^3)/(32*x-1)/(2*x-1)/(88*x+1)/(-1+8*x) lgdogf] A020543 3.61307 [{(n^2+4*n+4)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+1)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A020547 3.06809 [{(-n^4-9*n^3-30*n^2-44*n-24)*a(n+1)+(n^3+8*n^2+20*n+15)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A020566 14.4662 [-2*(135*x-13)*(6*x-1)/(12*x-1)/(9*x-1)/(5*x-1) lgdogf] A020566 16.1243 [-1/(12*x-1)/(9*x-1)/(5*x-1) ogf] A020566 5.64351 [(218853911*f(x)-129632400)*(540*f(x)*x^3-213*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A020566 5.64351 [{a(n+3)-26*a(n+2)+213*a(n+1)-540*a(n),a(0)=1,a(1)=26,a(2)=463} ogf] A020567 10.6836 [-2*(13-215*x+825*x^2)/(5*x-1)/(-1+10*x)/(11*x-1) lgdogf] A020567 12.4796 [-1/(5*x-1)/(10*x-1)/(11*x-1) ogf] A020567 4.36787 [{a(n+3)-26*a(n+2)+215*a(n+1)-550*a(n),a(0)=1,a(1)=26,a(2)=461} ogf] A020567 4.51849 [(2565489*f(x)-1522180)*(550*f(x)*x^3-215*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A020568 10.0054 [-(27-460*x+1800*x^2)/(12*x-1)/(5*x-1)/(10*x-1) lgdogf] A020568 11.2224 [-1/(12*x-1)/(5*x-1)/(10*x-1) ogf] A020568 3.92783 [{a(n+3)-27*a(n+2)+230*a(n+1)-600*a(n),a(0)=1,a(1)=27,a(2)=499} ogf] A020568 4.13456 [(817643*f(x)-454680)*(600*f(x)*x^3-230*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A020569 11.2884 [-1/(5*x-1)/(12*x-1)/(11*x-1) ogf] A020569 3.7929 [(122127253447*f(x)-63626785200)*(660*f(x)*x^3-247*f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A020569 3.95094 [{a(n+3)-28*a(n+2)+247*a(n+1)-660*a(n),a(0)=1,a(1)=28,a(2)=537} ogf] A020569 9.85154 [-2*(14-247*x+990*x^2)/(5*x-1)/(12*x-1)/(11*x-1) lgdogf] A020570 18.0496 [-1/(6*x-1)/(8*x-1)/(7*x-1) ogf] A020570 6.31738 [(185450473*f(x)-175821408)*(336*f(x)*x^3-146*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A020570 6.31738 [{a(n+3)-21*a(n+2)+146*a(n+1)-336*a(n),a(0)=1,a(1)=21,a(2)=295} ogf] A020571 12.0753 [-2*(11-159*x+567*x^2)/(6*x-1)/(7*x-1)/(9*x-1) lgdogf] A020571 13.2131 [-1/(6*x-1)/(7*x-1)/(9*x-1) ogf] A020571 4.62459 [{a(n+3)-22*a(n+2)+159*a(n+1)-378*a(n),a(0)=1,a(1)=22,a(2)=325} ogf] A020571 4.70298 [(38512553*f(x)-34816068)*(378*f(x)*x^3-159*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A020572 12.0753 [-(23-344*x+1260*x^2)/(6*x-1)/(7*x-1)/(10*x-1) lgdogf] A020572 13.2131 [-1/(6*x-1)/(7*x-1)/(10*x-1) ogf] A020572 4.62459 [(223713583*f(x)-191371950)*(420*f(x)*x^3-172*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A020572 4.62459 [{a(n+3)-23*a(n+2)+172*a(n+1)-420*a(n),a(0)=1,a(1)=23,a(2)=357} ogf] A020573 11.0249 [-2*(9*x-1)*(77*x-12)/(-1+6*x)/(7*x-1)/(11*x-1) lgdogf] A020573 12.3447 [-1/(6*x-1)/(7*x-1)/(11*x-1) ogf] A020573 4.18127 [(21295440101*f(x)-17182028556)*(462*f(x)*x^3-185*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A020573 4.32064 [{a(n+3)-24*a(n+2)+185*a(n+1)-462*a(n),a(0)=1,a(1)=24,a(2)=391} ogf] A020577 11.3958 [-(25-396*x+1512*x^2)/(12*x-1)/(6*x-1)/(7*x-1) lgdogf] A020577 12.4796 [-1/(12*x-1)/(6*x-1)/(7*x-1) ogf] A020577 4.36787 [{a(n+3)-25*a(n+2)+198*a(n+1)-504*a(n),a(0)=1,a(1)=25,a(2)=427} ogf] A020577 4.51849 [(1323295*f(x)-1006264)*(504*f(x)*x^3-198*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A020579 12.0753 [-(23-348*x+1296*x^2)/(6*x-1)/(-1+8*x)/(9*x-1) lgdogf] A020579 13.2131 [-1/(6*x-1)/(8*x-1)/(9*x-1) ogf] A020579 4.62459 [{a(n+3)-23*a(n+2)+174*a(n+1)-432*a(n),a(0)=1,a(1)=23,a(2)=355} ogf] A020579 4.78406 [(1915949*f(x)-1702944)*(432*f(x)*x^3-174*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A020584 12.2098 [-1/(6*x-1)/(8*x-1)/(10*x-1) ogf] A020584 4.27342 [{a(n+3)-24*a(n+2)+188*a(n+1)-480*a(n),a(0)=1,a(1)=24,a(2)=388} ogf] A020584 4.42079 [(3157481*f(x)-2667600)*(480*f(x)*x^3-188*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A020593 14.4605 [-(25-404*x+1584*x^2)/(6*x-1)/(11*x-1)/(8*x-1) lgdogf] A020593 15.7738 [-1/(6*x-1)/(11*x-1)/(8*x-1) ogf] A020593 5.52082 [(149464835*f(x)-119493792)*(528*f(x)*x^3-202*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A020593 5.52082 [{a(n+3)-25*a(n+2)+202*a(n+1)-528*a(n),a(0)=1,a(1)=25,a(2)=423} ogf] A020594 11.2097 [-2*(13-216*x+864*x^2)/(6*x-1)/(8*x-1)/(12*x-1) lgdogf] A020594 12.5471 [-1/(6*x-1)/(8*x-1)/(12*x-1) ogf] A020594 4.39148 [{a(n+3)-26*a(n+2)+216*a(n+1)-576*a(n),a(0)=1,a(1)=26,a(2)=460} ogf] A020594 4.79071 [(2023*f(x)-1528)*(576*f(x)*x^3-216*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A020595 11.0865 [-(25-408*x+1620*x^2)/(6*x-1)/(9*x-1)/(-1+10*x) lgdogf] A020595 12.4122 [-1/(6*x-1)/(9*x-1)/(10*x-1) ogf] A020595 4.34426 [{a(n+3)-25*a(n+2)+204*a(n+1)-540*a(n),a(0)=1,a(1)=25,a(2)=421} ogf] A020595 4.49406 [(2246237*f(x)-1834650)*(540*f(x)*x^3-204*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A020606 11.1481 [-2*(13-219*x+891*x^2)/(9*x-1)/(6*x-1)/(11*x-1) lgdogf] A020606 12.4796 [-1/(9*x-1)/(6*x-1)/(11*x-1) ogf] A020606 4.36787 [(211807309*f(x)-164068740)*(594*f(x)*x^3-219*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A020606 4.36787 [{a(n+3)-26*a(n+2)+219*a(n+1)-594*a(n),a(0)=1,a(1)=26,a(2)=457} ogf] A020695 10.1418 [{-a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=3} ogf] A020695 18.4806 [-(x+2)/(x^2+x-1) ogf] A020695 22.6937 [1/2/(x+1)*(-x-2+(5*x^2+8*x+4)^(1/2)) revogf] A020695 29.1776 [-(x+3)*(x+1)/(x+2)/(x^2+x-1) lgdogf] A020695 9.34414 [-(7*f(x)-5)*(f(x)*x^2+f(x)*x-f(x)+x+2) ogf] A020698 16.0315 [-(x-2)/(2*x^2-5*x+1) ogf] A020698 16.4815 [-1/2*(-2-5*x+(4+16*x+17*x^2)^(1/2))/(2*x+1) revogf] A020698 20.8443 [-(9-8*x+2*x^2)/(x-2)/(2*x^2-5*x+1) lgdogf] A020698 8.01576 [-(37*f(x)+7)*(2*f(x)*x^2-5*f(x)*x+f(x)+x-2) ogf] A020698 8.79777 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=2,a(1)=9} ogf] A020699 14.3536 [-5*f(x)*x+f(x)+3*x-1 ogf] A020699 17.4571 [(3*x-1)/(5*x-1) ogf] A020699 18.6285 [1/6+5/6*x-1/6*(1-2*x+25*x^2)^(1/2) revogf] A020699 37.2570 [2/(5*x-1)/(3*x-1) lgdogf] A020699 8.97099 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=2} ogf] A020701 18.1880 [-(2*x+3)/(x^2+x-1) ogf] A020701 21.1555 [1/2/(x+2)*(-3-x+((5*x+9)*(x+1))^(1/2)) revogf] A020701 25.1221 [-(5+6*x+2*x^2)/(2*x+3)/(x^2+x-1) lgdogf] A020701 9.51694 [(11*f(x)-8)*(f(x)*x^2+f(x)*x-f(x)+2*x+3) ogf] A020701 9.98120 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=5} ogf] A020702 15.5679 [-x^19+x^9+x^4+x^2+x+1 ogf_with_Euler_transform] A020702 8.50160 [(x^2+1)*(x^8-x^6+x^4-x^2+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A020704 16.2181 [-(x+3)/(x^2+3*x-1) ogf] A020704 17.4825 [1/2/(x+1)*(-3-3*x+((x+1)*(13*x+9))^(1/2)) revogf] A020704 23.1220 [-(10+6*x+x^2)/(x+3)/(x^2+3*x-1) lgdogf] A020704 8.58604 [(9*f(x)-2)*(f(x)*x^2+3*f(x)*x-f(x)+x+3) ogf] A020704 8.79294 [{a(n+2)-3*a(n+1)-a(n),a(0)=3,a(1)=10} ogf] A020705 11.1451 [(2*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)+3*x-4) ogf] A020705 11.6888 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=5} ogf] A020705 21.2996 [-(3*x-4)/(x-1)^2 ogf] A020705 37.6485 [-(-2-x+(4+x)^(1/2))/(3+x) revogf] A020705 40.9223 [-(-5+3*x)/(x-1)/(3*x-4) lgdogf] A020706 14.3555 [-(6-6*x+3*x^4+4*x^3-6*x^2)/(x-1)/(3*x^2+2*x-4)/(x^2+x-1) lgdogf] A020706 15.4426 [-(3*x^2+2*x-4)/(x-1)/(x^2+x-1) ogf] A020706 8.61534 [(44*f(x)-41)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)+2*x-4) ogf] A020706 8.70700 [{-a(n+3)+2*a(n+2)-a(n),a(0)=4,a(1)=6,a(2)=9} ogf] A020707 14.6628 [{a(n+1)-2*a(n),a(0)=4} ogf] A020707 18.5966 [-2*f(x)*x+f(x)-4 ogf] A020707 30.4985 [-4/(2*x-1) ogf] A020707 34.0273 [-1/2*ln(2)+1/2*ln(x+2) revegf] A020707 74.8600 [-2/(2*x-1) lgdogf] A020708 14.7726 [-(2*x^2+x+4)/(x^3+2*x-1) ogf] A020708 15.3843 [-(9+4*x+2*x^4+2*x^3+8*x^2)/(2*x^2+x+4)/(x^3+2*x-1) lgdogf] A020708 7.90858 [-(31*f(x)-20)*(f(x)*x^3+2*f(x)*x+2*x^2-f(x)+x+4) ogf] A020708 8.24158 [{-a(n+3)+2*a(n+2)+a(n),a(0)=4,a(1)=9,a(2)=20} ogf] A020709 12.0261 [-(10-10*x+6*x^4-8*x^3+19*x^2)/(3*x^2-2*x+4)/(2*x^3-2*x^2+3*x-1) lgdogf] A020709 12.6412 [-(3*x^2-2*x+4)/(2*x^3-2*x^2+3*x-1) ogf] A020709 6.64751 [-(2*f(x)+17)*(2*f(x)*x^3-2*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-2*x+4) ogf] A020709 6.76414 [{a(n+3)-3*a(n+2)+2*a(n+1)-2*a(n),a(0)=4,a(1)=10,a(2)=25} ogf] A020710 11.0104 [(f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)+4*x-5) ogf] A020710 11.5475 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=6} ogf] A020710 21.0421 [-(4*x-5)/(x-1)^2 ogf] A020710 27.3435 [-1/2*(-5-2*x+(25+4*x)^(1/2))/(4+x) revogf] A020710 35.7569 [-2*(-3+2*x)/(x-1)/(-5+4*x) lgdogf] A020711 10.8996 [-(4*x^3-x^2+3*x-5)/(x-1)/(x^3+x-1) ogf] A020711 11.2933 [-(7-8*x+4*x^6-2*x^5+6*x^4-10*x^3+4*x^2)/(x-1)/(4*x^3-x^2+3*x-5)/(x^3+x-1) lgdogf] A020711 5.95225 [-(f(x)+3)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+4*x^3-2*f(x)*x-x^2+f(x)+3*x-5) ogf] A020712 17.8941 [-(3*x+5)/(x^2+x-1) ogf] A020712 20.8103 [1/2/(3+x)*(-5-x+(25+22*x+5*x^2)^(1/2)) revogf] A020712 24.7122 [-(x+2)*(3*x+4)/(3*x+5)/(x^2+x-1) lgdogf] A020712 8.94705 [-(9*f(x)-13)*(f(x)*x^2+f(x)*x-f(x)+3*x+5) ogf] A020712 9.81994 [{-a(n+2)+a(n+1)+a(n),a(0)=5,a(1)=8} ogf] A020713 13.1723 [-(3*x^2-x+5)/(x^3-x^2+2*x-1) ogf] A020713 14.3507 [-(9-4*x+3*x^4-2*x^3+10*x^2)/(3*x^2-x+5)/(x^3-x^2+2*x-1) lgdogf] A020713 7.11070 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=5,a(1)=9,a(2)=16} ogf] A020713 7.23882 [(3*f(x)-7)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+3*x^2-f(x)-x+5) ogf] A020714 14.9293 [{a(n+1)-2*a(n),a(0)=5} ogf] A020714 18.9348 [-2*f(x)*x+f(x)-5 ogf] A020714 31.0530 [-5/(2*x-1) ogf] A020714 31.7693 [-1/2*ln(5)+1/2*ln(5+2*x) revegf] A020714 76.2463 [-2/(2*x-1) lgdogf] A020715 11.0604 [(2*f(x)+37)*(f(x)*x^2-2*f(x)*x+f(x)+5*x-6) ogf] A020715 11.6000 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=7} ogf] A020715 21.1378 [-(5*x-6)/(x-1)^2 ogf] A020715 37.3593 [-(-3-x+(9+x)^(1/2))/(5+x) revogf] A020715 40.6080 [-(-7+5*x)/(x-1)/(5*x-6) lgdogf] A020716 10.6645 [-(8+6*x+4*x^6+6*x^5-2*x^4-16*x^3-7*x^2)/(x-1)/(4*x^3+3*x^2-2*x-6)/(x^3+x^2-1) lgdogf] A020716 12.1204 [-(4*x^3+3*x^2-2*x-6)/(x-1)/(x^3+x^2-1) ogf] A020716 6.96922 [(3*f(x)-22)*(f(x)*x^4-f(x)*x^2+4*x^3-f(x)*x+3*x^2+f(x)-2*x-6) ogf] A020717 13.8735 [-(9-8*x+4*x^4+6*x^3-10*x^2)/(x-1)/(4*x^2+3*x-6)/(x^2+x-1) lgdogf] A020717 15.1931 [-(4*x^2+3*x-6)/(x-1)/(x^2+x-1) ogf] A020717 8.47615 [(33*f(x)-74)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)+3*x-6) ogf] A020717 8.47616 [{a(n+3)-2*a(n+2)+a(n),a(0)=6,a(1)=9,a(2)=14} ogf] A020718 6.82753 [-(10-6*x-2*x^8+2*x^6-12*x^5+7*x^4+4*x^3+6*x^7-9*x^2-2*x^9+4*x^10)/(x-1)/(4*x^5-x^4-x^3+3*x^2+2*x-6)/(x^5+x^2+x-1) lgdogf] A020718 8.44873 [-(4*x^5-x^4-x^3+3*x^2+2*x-6)/(x-1)/(x^5+x^2+x-1) ogf] A020719 11.1105 [(f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)+6*x-7) ogf] A020719 11.6525 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=8} ogf] A020719 21.2334 [-(6*x-7)/(x-1)^2 ogf] A020719 27.5967 [-1/2*(-7-2*x+(49+4*x)^(1/2))/(6+x) revogf] A020719 39.0953 [-2*(3*x-4)/(x-1)/(6*x-7) lgdogf] A020720 14.6720 [-(5*x^2+9*x+7)/(x^3+x^2-1) ogf] A020720 14.9303 [-(9+24*x+5*x^4+18*x^3+30*x^2)/(x^3+x^2-1)/(5*x^2+9*x+7) lgdogf] A020720 8.80322 [{a(n+3)-a(n+1)-a(n),a(0)=7,a(1)=9,a(2)=12} ogf] A020720 8.99254 [(f(x)-7)*(f(x)*x^3+f(x)*x^2+5*x^2-f(x)+9*x+7) ogf] A020721 10.7313 [-(5*x^3-x^2+4*x-7)/(x-1)/(x^3+x-1) ogf] A020721 10.8207 [-(10-12*x+5*x^6-2*x^5+8*x^4-16*x^3+8*x^2)/(x-1)/(x^3+x-1)/(5*x^3-x^2+4*x-7) lgdogf] A020721 5.86035 [-(f(x)-8)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+5*x^3-2*f(x)*x-x^2+f(x)+4*x-7) ogf] A020722 10.9756 [(2*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)+7*x-8) ogf] A020722 11.5110 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=9} ogf] A020722 20.9756 [-(7*x-8)/(x-1)^2 ogf] A020722 35.6438 [-(-4-x+(16+x)^(1/2))/(7+x) revogf] A020722 40.2930 [-(-9+7*x)/(x-1)/(7*x-8) lgdogf] A020723 11.0255 [(f(x)+41)*(f(x)*x^2-2*f(x)*x+f(x)+8*x-9) ogf] A020723 11.4240 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=10} ogf] A020723 21.0709 [-(8*x-9)/(x-1)^2 ogf] A020723 27.3832 [-1/2*(-9-2*x+(81+4*x)^(1/2))/(8+x) revogf] A020723 37.2412 [-2*(-5+4*x)/(x-1)/(8*x-9) lgdogf] A020724 12.7495 [-1/(6*x-1)/(12*x-1)/(9*x-1) ogf] A020724 4.46231 [{a(n+3)-27*a(n+2)+234*a(n+1)-648*a(n),a(0)=1,a(1)=27,a(2)=495} ogf] A020724 4.86798 [(5599*f(x)-4104)*(648*f(x)*x^3-234*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A020725 10.988 [(2*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)+x-2) ogf] A020725 11.3900 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=3} ogf] A020725 20.7552 [-(x-2)/(x-1)^2 ogf] A020725 31.6127 [x/(x+1)^(1/2)/(1+(x+1)^(1/2)) revogf] A020725 50.9315 [-(x-3)/(x-1)/(x-2) lgdogf] A020726 10.9712 [-(27-472*x+1980*x^2)/(6*x-1)/(-1+10*x)/(11*x-1) lgdogf] A020726 12.5471 [-1/(6*x-1)/(10*x-1)/(11*x-1) ogf] A020726 4.35519 [(1206965039*f(x)-894667950)*(660*f(x)*x^3-236*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A020726 4.39148 [{a(n+3)-27*a(n+2)+236*a(n+1)-660*a(n),a(0)=1,a(1)=27,a(2)=493} ogf] A020727 16.1457 [-(x-2)/(2*x^2-4*x+1) ogf] A020727 18.2955 [-(-1-2*x+((x+1)*(2*x+1))^(1/2))/(2*x+1) revogf] A020727 20.9860 [-(7-8*x+2*x^2)/(x-2)/(2*x^2-4*x+1) lgdogf] A020727 8.44832 [(20*f(x)+9)*(2*f(x)*x^2-4*f(x)*x+f(x)+x-2) ogf] A020727 8.86044 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=2,a(1)=7} ogf] A020729 14.6068 [{a(n+1)-5*a(n),a(0)=2} ogf] A020729 18.5257 [-5*f(x)*x+f(x)-2 ogf] A020729 30.3822 [-2/(5*x-1) ogf] A020729 31.1184 [-1/5*ln(2)+1/5*ln(2+5*x) revegf] A020729 67.8947 [-5/(-1+5*x) lgdogf] A020732 14.6443 [-(7-4*x+2*x^4+2*x^3-8*x^2)/(x-1)/(2*x^2+x-4)/(x^2+x-1) lgdogf] A020732 15.1931 [-(2*x^2+x-4)/(x-1)/(x^2+x-1) ogf] A020732 8.47616 [{-a(n+3)+2*a(n+2)-a(n),a(0)=4,a(1)=7,a(2)=12} ogf] A020732 8.65844 [(3*f(x)-4)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)+x-4) ogf] A020735 10.0587 [(4*f(x)+29)*(f(x)*x^2-2*f(x)*x+f(x)+3*x-5) ogf] A020735 10.5494 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=7} ogf] A020735 19.2233 [-(3*x-5)/(x-1)^2 ogf] A020735 24.9533 [-1/2*(-5-2*x+(25+8*x)^(1/2))/(3+x) revogf] A020735 36.8875 [-(-7+3*x)/(x-1)/(3*x-5) lgdogf] A020736 10.2043 [-(3*x^3-4*x^2+7*x-5)/(x-1)/(x^3-x^2+2*x-1) ogf] A020736 5.57257 [-(f(x)-5)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+3*x^3-3*f(x)*x-4*x^2+f(x)+7*x-5) ogf] A020736 9.18465 [-(8-22*x+3*x^6-8*x^5+20*x^4-30*x^3+30*x^2)/(x-1)/(x^3-x^2+2*x-1)/(3*x^3-4*x^2+7*x-5) lgdogf] A020737 13.3679 [1/2*ln(x+3)-arctanh((8*x+25)^(1/2))-1/2*ln(3)+arctanh(5) revegf] A020737 16.9436 [-(6*x-5)/(2*x-1)/(x-1) ogf] A020737 19.7000 [-(9-20*x+12*x^2)/(6*x-5)/(x-1)/(2*x-1) lgdogf] A020737 8.4718 [-(7*f(x)+46)*(2*f(x)*x^2-3*f(x)*x+f(x)+6*x-5) ogf] A020737 9.29833 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=5,a(1)=9} ogf] A020739 11.3834 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=8} ogf] A020739 14.8165 [-f(x)*x^2+2*f(x)*x-f(x)-4*x+6 ogf] A020739 20.7431 [-2*(2*x-3)/(x-1)^2 ogf] A020739 33.9490 [-(-3-x+(9+2*x)^(1/2))/(4+x) revogf] A020739 39.8531 [-2*(-2+x)/(x-1)/(2*x-3) lgdogf] A020742 10.854 [(4*f(x)+53)*(f(x)*x^2-2*f(x)*x+f(x)+5*x-7) ogf] A020742 11.3834 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=9} ogf] A020742 20.7431 [-(5*x-7)/(x-1)^2 ogf] A020742 26.9595 [-1/2*(-7-2*x+(49+8*x)^(1/2))/(5+x) revogf] A020742 39.8531 [-(-9+5*x)/(x-1)/(5*x-7) lgdogf] A020743 13.4644 [-(10-10*x+5*x^4+8*x^3-11*x^2)/(x-1)/(5*x^2+4*x-7)/(x^2+x-1) lgdogf] A020743 15.2612 [-(5*x^2+4*x-7)/(x-1)/(x^2+x-1) ogf] A020743 7.85287 [-(1547*f(x)-3454)*(f(x)*x^3-2*f(x)*x+5*x^2+f(x)+4*x-7) ogf] A020743 8.42548 [{a(n+3)-2*a(n+2)+a(n),a(0)=7,a(1)=10,a(2)=15} ogf] A020744 10.7177 [(f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)+6*x-8) ogf] A020744 11.1051 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=10} ogf] A020744 20.4827 [-2*(3*x-4)/(x-1)^2 ogf] A020744 32.3202 [-(-4-x+(16+2*x)^(1/2))/(6+x) revogf] A020744 39.3463 [-(-5+3*x)/(x-1)/(3*x-4) lgdogf] A020745 10.8513 [-(2*x^3-x^2+x-3)/(x-1)/(x^3+x-1) ogf] A020745 11.7243 [-(5-4*x+2*x^6-2*x^5+2*x^4-6*x^3+2*x^2)/(x-1)/(x^3+x-1)/(2*x^3-x^2+x-3) lgdogf] A020745 6.09893 [(f(x)+2)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)+x-3) ogf] A020746 7.05701 [-(7-10*x+3*x^8+7*x^6-12*x^5+6*x^4-6*x^3-4*x^7+7*x^2-2*x^9+x^10)/(x-1)/(x^5+x^3+2*x-1)/(x^5-x^4+x^3-x^2+2*x-3) lgdogf] A020746 7.18303 [-(x^5-x^4+x^3-x^2+2*x-3)/(x-1)/(x^5+x^3+2*x-1) ogf] A020748 6.27802 [-(10-10*x-2*x^8+7*x^6-24*x^5+9*x^4+6*x^3+6*x^7-4*x^2-8*x^9+6*x^10)/(x-1)/(2*x^5+x^2+2*x-1)/(3*x^5-2*x^4-x^3+x^2+2*x-4) lgdogf] A020748 7.46807 [-(3*x^5-2*x^4-x^3+x^2+2*x-4)/(x-1)/(2*x^5+x^2+2*x-1) ogf] A020749 10.6834 [-(3*x^3-x^2+2*x-5)/(x-1)/(x^3+x-1) ogf] A020749 11.0666 [-(8-8*x+3*x^6-2*x^5+4*x^4-12*x^3+6*x^2)/(x-1)/(3*x^3-x^2+2*x-5)/(x^3+x-1) lgdogf] A020749 5.91813 [(45*f(x)+31)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+3*x^3-2*f(x)*x-x^2+f(x)+2*x-5) ogf] A020750 10.2505 [-(3*x^4-4*x^3-2*x^2-x+5)/(x-1)/(x^4-x^3-x^2-x+1) ogf] A020750 7.75066 [-(9-4*x+3*x^8+2*x^6+4*x^5+13*x^4-12*x^3-8*x^7-8*x^2)/(x-1)/(x^4-x^3-x^2-x+1)/(3*x^4-4*x^3-2*x^2-x+5) lgdogf] A020753 2.07071 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A020758 10.0054 [-4*(7-126*x+540*x^2)/(12*x-1)/(6*x-1)/(10*x-1) lgdogf] A020758 11.2224 [-1/(12*x-1)/(6*x-1)/(10*x-1) ogf] A020758 3.92783 [{a(n+3)-28*a(n+2)+252*a(n+1)-720*a(n),a(0)=1,a(1)=28,a(2)=532} ogf] A020758 4.20839 [(21221*f(x)-14900)*(720*f(x)*x^3-252*f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A020761 11.2690 [{-a(n+1),a(0)=5} ogf] A020761 181.048 [1/5*x revogf] A020761 20.5781 [5-f(x) ogf] A020766 10.1260 [-(29-540*x+2376*x^2)/(6*x-1)/(12*x-1)/(11*x-1) lgdogf] A020766 11.3544 [-1/(6*x-1)/(12*x-1)/(11*x-1) ogf] A020766 3.97404 [{a(n+3)-29*a(n+2)+270*a(n+1)-792*a(n),a(0)=1,a(1)=29,a(2)=571} ogf] A020766 4.11108 [(6954787*f(x)-4645432)*(792*f(x)*x^3-270*f(x)*x^2+29*f(x)*x-f(x)+1) ogf] A020773 100.582 [5/(2+5*x) lgdogf] A020773 17.6997 [2+5*x-f(x) ogf] A020773 41.1472 [2*x/(2+(4+10*x)^(1/2)) revegf] A020773 9.55784 [{a(n+2),a(0)=2,a(1)=5} ogf] A020782 11.8128 [-2*(12-191*x+756*x^2)/(-1+8*x)/(7*x-1)/(9*x-1) lgdogf] A020782 13.2131 [-1/(8*x-1)/(7*x-1)/(9*x-1) ogf] A020782 4.47541 [(22554022271*f(x)-21655118016)*(504*f(x)*x^3-191*f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A020782 4.62459 [{a(n+3)-24*a(n+2)+191*a(n+1)-504*a(n),a(0)=1,a(1)=24,a(2)=385} ogf] A020793 12.8280 [{a(n+2)-a(n+1),a(0)=1,a(1)=6} ogf] A020793 20.5249 [-f(x)*x+f(x)-5*x-1 ogf] A020793 24.9627 [-(5*x+1)/(x-1) ogf] A020793 25.1455 [-1/10*x-1/10+1/10*(1+22*x+x^2)^(1/2) revogf] A020793 56.5774 [-6/(5*x+1)/(x-1) lgdogf] A020806 10.9065 [-(4-4*x-16*x^3+11*x^4-4*x^5+7*x^6+20*x^2)/(x-1)/(x+1)/(x^2-x+1)/(7*x^3-2*x^2+3*x+1) lgdogf] A020806 13.3858 [-(7*x^3-2*x^2+3*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A020806 7.05053 [-(20771*f(x)-51175)*(f(x)*x^4-f(x)*x^3+7*x^3+f(x)*x-2*x^2-f(x)+3*x+1) ogf] A020821 39.3582 [2*(1+5*x)/(5*x^2+1+2*x) lgdogf] A020821 7.31042 [{-a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A020821 8.46469 [(5*f(x)-3)*(-5*x^2+f(x)-2*x-1) ogf] A020838 11.0865 [-(25-412*x+1680*x^2)/(8*x-1)/(7*x-1)/(-1+10*x) lgdogf] A020838 12.4122 [-1/(8*x-1)/(7*x-1)/(10*x-1) ogf] A020838 4.30836 [(1053031143*f(x)-973218400)*(560*f(x)*x^3-206*f(x)*x^2+25*f(x)*x-f(x)+1) ogf] A020838 4.34426 [{a(n+3)-25*a(n+2)+206*a(n+1)-560*a(n),a(0)=1,a(1)=25,a(2)=419} ogf] A020865 6.23491 [2*x*(8*x^4-28*x^3+34*x^2-13*x+2)/(2*x-1)/(x-1)/(4*x^2-8*x+1)/(2*x^2-5*x+1) ogf] A020866 4.79865 [-(5083*f(x)-61174)*(2*f(x)*x^4-f(x)*x^3-9*f(x)*x^2+14*x^3-5*f(x)*x-3*x^2+f(x)-60*x-41) ogf] A020866 5.91893 [-(265+744*x-68*x^3+28*x^6-231*x^4-12*x^5+606*x^2)/(x+1)/(14*x^3-3*x^2-60*x-41)/(2*x^3-3*x^2-6*x+1) lgdogf] A020866 9.05745 [-(14*x^3-3*x^2-60*x-41)/(x+1)/(2*x^3-3*x^2-6*x+1) ogf] A020868 3.70149 [-(28*x^8-220*x^7+841*x^6-1943*x^5+2882*x^4-2746*x^3+1609*x^2-503*x+60)/(2*x^3-5*x^2+6*x-1)^2/(x-1)^3 ogf] A020869 3.99118 [-(3*x^8-27*x^7+126*x^6-360*x^5+663*x^4-781*x^3+570*x^2-220*x+34)/(x^3-3*x^2+5*x-1)^2/(x-1)^3 ogf] A020870 5.83309 [-(28*x^5-192*x^4+479*x^3-532*x^2+251*x-38)/(x-1)^2/(2*x^2-5*x+1)^2 ogf] A020871 6.52322 [x*(3*x^4-14*x^3+26*x^2-14*x+3)/(x-1)^2/(x^2-4*x+1)^2 ogf] A020871 6.54070 [-2*(8-39*x+93*x^2-124*x^3+72*x^4-21*x^5+3*x^6)/(x-1)/(1-4*x+x^2)/(3*x^4-14*x^3+26*x^2-14*x+3) lgdogf] A020873 10.1722 [-(7*x^3-10*x^2+7*x-2)/(2*x-1)/(x-1)^3 ogf] A020873 5.54847 [-(f(x)+50)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+7*x^3-5*f(x)*x-10*x^2+f(x)+7*x-2) ogf] A020873 8.65137 [-(3-10*x+14*x^4-12*x^3+11*x^2)/(x-1)/(2*x-1)/(7*x^3-10*x^2+7*x-2) lgdogf] A020874 5.13281 [-x*(8*x^4-20*x^3+27*x^2-6*x-3)/(2*x-1)^2/(x-1)^4 ogf] A020874 6.83031 [-2*(15-30*x+16*x^5-44*x^4+82*x^3-27*x^2)/(x-1)/(2*x-1)/(8*x^4-20*x^3+27*x^2-6*x-3) lgdogf] A020875 18.4867 [-x^3-x^2+3*x+3 ogf_with_Euler_transform] A020875 5.85787 [4*x*(x^2+1)*(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A020875 9.29861 [-(3+12*x+2*x^5+5*x^4+14*x^3+12*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A020876 16.2181 [-(5*x-2)/(5*x^2-5*x+1) ogf] A020876 18.8627 [-5*(1-4*x+5*x^2)/(5*x-2)/(5*x^2-5*x+1) lgdogf] A020876 8.20015 [-(8*f(x)+9)*(5*f(x)*x^2-5*f(x)*x+f(x)+5*x-2) ogf] A020876 8.90017 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=2,a(1)=5} ogf] A020877 10.8756 [-2*(2*x^3+x^2-7*x-5)/(x+1)/(x^3-x^2-3*x+1) ogf] A020877 5.84976 [-(6438*f(x)-32989)*(f(x)*x^4-4*f(x)*x^2+4*x^3-2*f(x)*x+2*x^2+f(x)-14*x-10) ogf] A020877 7.13985 [-(17+38*x+24*x^2-12*x^3-13*x^4+2*x^5+2*x^6)/(x+1)/(x^3-x^2-3*x+1)/(2*x^3+x^2-7*x-5) lgdogf] A020878 10.3246 [-(x^3+4*x^2-x-2)/(x-1)/(x+1)/(x^2+x-1) ogf] A020878 5.55939 [-(25*f(x)-59)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+x^3-f(x)*x+4*x^2+f(x)-x-2) ogf] A020878 8.46326 [-(3+x^6+8*x^5+3*x^4-8*x^3-3*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^3+4*x^2-x-2) lgdogf] A020881 2.54263 [-(211123*f(x)+567662)*(4*f(x)*x^4-4*f(x)*x^3-11*f(x)*x^2+24*x^3-2*f(x)*x-16*x^2+f(x)-66*x-18) ogf] A020911 4.15128 [(x^17-x^16+x^15+x^13+x^10+x^8+x^6+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A020913 9.01932 [(x^15-x^14+x^11-x^10+x^8+x^4+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A020918 30.5486 [-14+(1-4*x)*f(x) lgdogf] A020918 4.72222 [{(-n-2)*a(n+2)+(18+4*n)*a(n+1),a(0)=1,a(1)=14} ogf] A020920 32.3888 [-18+(1-4*x)*f(x) lgdogf] A020920 4.99999 [{(-n-2)*a(n+2)+(22+4*n)*a(n+1),a(0)=1,a(1)=18} ogf] A020922 34.0451 [-22+(1-4*x)*f(x) lgdogf] A020922 5.24999 [{(-n-2)*a(n+2)+(26+4*n)*a(n+1),a(0)=1,a(1)=22} ogf] A020923 35.0595 [-22+(-1+4*x)*f(x) lgdogf] A020923 5.65452 [{(n+2)*a(n+2)+(18-4*n)*a(n+1),a(0)=1,a(1)=-22} ogf] A020924 31.4328 [-26+(1-4*x)*f(x) lgdogf] A020924 4.85364 [{(-n-2)*a(n+2)+(30+4*n)*a(n+1),a(0)=1,a(1)=26} ogf] A020925 37.0462 [-26+(-1+4*x)*f(x) lgdogf] A020925 5.31266 [{(n+2)*a(n+2)+(22-4*n)*a(n+1),a(0)=1,a(1)=-26} ogf] A020926 32.3360 [-30+(1-4*x)*f(x) lgdogf] A020926 4.98998 [{(-n-2)*a(n+2)+(34+4*n)*a(n+1),a(0)=1,a(1)=30} ogf] A020927 34.1060 [-30+(-1+4*x)*f(x) lgdogf] A020927 5.46984 [{(n+2)*a(n+2)+(26-4*n)*a(n+1),a(0)=1,a(1)=-30} ogf] A020928 33.4199 [-34+(1-4*x)*f(x) lgdogf] A020928 5.15358 [{(-n-2)*a(n+2)+(38+4*n)*a(n+1),a(0)=1,a(1)=34} ogf] A020929 38.0263 [-34+(-1+4*x)*f(x) lgdogf] A020929 5.50127 [{(n+2)*a(n+2)+(30-4*n)*a(n+1),a(0)=1,a(1)=-34} ogf] A020930 34.5038 [-38+(1-4*x)*f(x) lgdogf] A020930 5.31719 [{(-n-2)*a(n+2)+(42+4*n)*a(n+1),a(0)=1,a(1)=38} ogf] A020931 34.1216 [-38+(-1+4*x)*f(x) lgdogf] A020931 5.44125 [{(n+2)*a(n+2)+(34-4*n)*a(n+1),a(0)=1,a(1)=-38} ogf] A020932 35.4070 [-42+(1-4*x)*f(x) lgdogf] A020932 5.45353 [{(-n-2)*a(n+2)+(46+4*n)*a(n+1),a(0)=1,a(1)=42} ogf] A020933 38.3868 [-42+(-1+4*x)*f(x) lgdogf] A020933 5.62780 [{(n+2)*a(n+2)+(38-4*n)*a(n+1),a(0)=1,a(1)=-42} ogf] A020956 10.3351 [-(-2-2*x-x^5+2*x^6-x^4+6*x^3+2*x^2)/(x-1)/(1+x)/(x^2+x-1)/(x^3-x^2+1) lgdogf] A020956 11.0623 [-(x^3-x^2+1)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A020957 5.36216 [-(-6-4*x+7*x^6-5*x^5+x^7-15*x^4+11*x^3+15*x^2)/(-1+x)/(x+1)/(x^2+x-1)/(x^5+x^4-4*x^2+3) lgdogf] A020958 4.62440 [(x^6-3*x^4-2*x^3+7*x^2+x-5)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A020962 8.01691 [-(-3-x+4*x^6+3*x^5+10*x^3+x^4+2*x^2)/(x-1)/(1+x)/(x^2+2*x-1)/(2*x^3-x^2+1) lgdogf] A020962 8.30733 [-(2*x^3-x^2+1)/(x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A020963 6.66774 [-(6+4*x-3*x^6+2*x^5+x^7+4*x^4-19*x^3-11*x^2)/(x-1)/(x+1)/(x^2+2*x-1)/(x^4-2*x^3+x^2-2) lgdogf] A020963 7.24022 [(x^4-2*x^3+x^2-2)/(x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A020964 6.40996 [-(-11-x+12*x^6+3*x^5+10*x^3-23*x^4+26*x^2)/(x-1)/(1+x)/(x^2+2*x-1)/(x^5+x^4+2*x^3-5*x^2-x+4) lgdogf] A020964 6.48116 [-(x^5+x^4+2*x^3-5*x^2-x+4)/(x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A020968 11.1481 [-2*(13-221*x+924*x^2)/(11*x-1)/(8*x-1)/(7*x-1) lgdogf] A020968 12.4796 [-1/(11*x-1)/(8*x-1)/(7*x-1) ogf] A020968 4.29627 [(3784382817*f(x)-3341868992)*(616*f(x)*x^3-221*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A020968 4.36787 [{a(n+3)-26*a(n+2)+221*a(n+1)-616*a(n),a(0)=1,a(1)=26,a(2)=455} ogf] A020969 11.3328 [-(27-472*x+2016*x^2)/(12*x-1)/(8*x-1)/(-1+7*x) lgdogf] A020969 12.6820 [-1/(12*x-1)/(8*x-1)/(7*x-1) ogf] A020969 4.43869 [{a(n+3)-27*a(n+2)+236*a(n+1)-672*a(n),a(0)=1,a(1)=27,a(2)=493} ogf] A020969 4.51393 [(68622167*f(x)-57682800)*(672*f(x)*x^3-236*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A020970 10.9109 [-2*(13-223*x+945*x^2)/(9*x-1)/(7*x-1)/(-1+10*x) lgdogf] A020970 12.4796 [-1/(9*x-1)/(7*x-1)/(10*x-1) ogf] A020970 4.22697 [(50590167403*f(x)-46209876300)*(630*f(x)*x^3-223*f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A020970 4.36787 [{a(n+3)-26*a(n+2)+223*a(n+1)-630*a(n),a(0)=1,a(1)=26,a(2)=453} ogf] A020971 11.2097 [-(27-478*x+2079*x^2)/(11*x-1)/(-1+7*x)/(9*x-1) lgdogf] A020971 12.5471 [-1/(11*x-1)/(7*x-1)/(9*x-1) ogf] A020971 4.24982 [(73394861429*f(x)-64325031309)*(693*f(x)*x^3-239*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A020971 4.39148 [{a(n+3)-27*a(n+2)+239*a(n+1)-693*a(n),a(0)=1,a(1)=27,a(2)=490} ogf] A020972 12.7495 [-1/(12*x-1)/(9*x-1)/(7*x-1) ogf] A020972 4.46231 [(429242773*f(x)-359242128)*(756*f(x)*x^3-255*f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A020972 4.46231 [{a(n+3)-28*a(n+2)+255*a(n+1)-756*a(n),a(0)=1,a(1)=28,a(2)=529} ogf] A020973 10.8016 [-2*(21*x-2)*(55*x-7)/(-1+7*x)/(-1+10*x)/(11*x-1) lgdogf] A020973 12.6145 [-1/(7*x-1)/(10*x-1)/(11*x-1) ogf] A020973 4.23849 [(107568206637*f(x)-91915508300)*(770*f(x)*x^3-257*f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A020973 4.41508 [{a(n+3)-28*a(n+2)+257*a(n+1)-770*a(n),a(0)=1,a(1)=28,a(2)=527} ogf] A020974 10.0657 [-(29-548*x+2520*x^2)/(12*x-1)/(7*x-1)/(10*x-1) lgdogf] A020974 16.4047 [-1/(12*x-1)/(7*x-1)/(10*x-1) ogf] A020974 5.64753 [(4758775877*f(x)-3892001400)*(840*f(x)*x^3-274*f(x)*x^2+29*f(x)*x-f(x)+1) ogf] A020974 5.74166 [{a(n+3)-29*a(n+2)+274*a(n+1)-840*a(n),a(0)=1,a(1)=29,a(2)=567} ogf] A020975 16.5450 [-1/(7*x-1)/(12*x-1)/(11*x-1) ogf] A020975 5.51498 [(218352608165*f(x)-172554106032)*(924*f(x)*x^3-293*f(x)*x^2+30*f(x)*x-f(x)+1) ogf] A020975 5.79073 [{a(n+3)-30*a(n+2)+293*a(n+1)-924*a(n),a(0)=1,a(1)=30,a(2)=607} ogf] A020975 9.76183 [-2*(15-293*x+1386*x^2)/(7*x-1)/(12*x-1)/(11*x-1) lgdogf] A020976 11.1481 [-(27-484*x+2160*x^2)/(9*x-1)/(8*x-1)/(-1+10*x) lgdogf] A020976 12.4796 [-1/(9*x-1)/(8*x-1)/(10*x-1) ogf] A020976 4.29627 [(2288547961*f(x)-2216354400)*(720*f(x)*x^3-242*f(x)*x^2+27*f(x)*x-f(x)+1) ogf] A020976 4.36787 [{a(n+3)-27*a(n+2)+242*a(n+1)-720*a(n),a(0)=1,a(1)=27,a(2)=487} ogf] A020977 14.0331 [-2*(14-259*x+1188*x^2)/(11*x-1)/(8*x-1)/(9*x-1) lgdogf] A020977 15.9841 [-1/(11*x-1)/(8*x-1)/(9*x-1) ogf] A020977 5.41397 [(14977669237*f(x)-14058868032)*(792*f(x)*x^3-259*f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A020977 5.59443 [{a(n+3)-28*a(n+2)+259*a(n+1)-792*a(n),a(0)=1,a(1)=28,a(2)=525} ogf] A020978 10.2894 [-(29-552*x+2592*x^2)/(8*x-1)/(12*x-1)/(9*x-1) lgdogf] A020978 11.2884 [-1/(8*x-1)/(12*x-1)/(9*x-1) ogf] A020978 3.95094 [{a(n+3)-29*a(n+2)+276*a(n+1)-864*a(n),a(0)=1,a(1)=29,a(2)=565} ogf] A020978 4.23315 [(84629*f(x)-76464)*(864*f(x)*x^3-276*f(x)*x^2+29*f(x)*x-f(x)+1) ogf] A020979 12.7495 [-1/(10*x-1)/(11*x-1)/(8*x-1) ogf] A020979 4.38916 [(4701233019*f(x)-4375650400)*(880*f(x)*x^3-278*f(x)*x^2+29*f(x)*x-f(x)+1) ogf] A020979 4.46231 [{a(n+3)-29*a(n+2)+278*a(n+1)-880*a(n),a(0)=1,a(1)=29,a(2)=563} ogf] A020980 11.4204 [-1/(12*x-1)/(8*x-1)/(10*x-1) ogf] A020980 3.99715 [{a(n+3)-30*a(n+2)+296*a(n+1)-960*a(n),a(0)=1,a(1)=30,a(2)=604} ogf] A020980 4.13498 [(6418657*f(x)-5772600)*(960*f(x)*x^3-296*f(x)*x^2+30*f(x)*x-f(x)+1) ogf] A020980 9.76183 [-2*(15-296*x+1440*x^2)/(12*x-1)/(8*x-1)/(10*x-1) lgdogf] A020981 10.2465 [-(31-632*x+3168*x^2)/(11*x-1)/(8*x-1)/(12*x-1) lgdogf] A020981 11.2193 [-1/(11*x-1)/(8*x-1)/(12*x-1) ogf] A020981 3.98703 [(289065259*f(x)-254930544)*(1056*f(x)*x^3-316*f(x)*x^2+31*f(x)*x-f(x)+1) ogf] A020981 3.98703 [{a(n+3)-31*a(n+2)+316*a(n+1)-1056*a(n),a(0)=1,a(1)=31,a(2)=645} ogf] A020982 11.3544 [-1/(9*x-1)/(10*x-1)/(11*x-1) ogf] A020982 3.84585 [(30002978657*f(x)-29235402900)*(990*f(x)*x^3-299*f(x)*x^2+30*f(x)*x-f(x)+1) ogf] A020982 3.97404 [{a(n+3)-30*a(n+2)+299*a(n+1)-990*a(n),a(0)=1,a(1)=30,a(2)=601} ogf] A020982 9.70406 [-2*(15-299*x+1485*x^2)/(9*x-1)/(10*x-1)/(11*x-1) lgdogf] A020983 10.2465 [-(31-636*x+3240*x^2)/(12*x-1)/(9*x-1)/(10*x-1) lgdogf] A020983 16.2287 [-1/(12*x-1)/(9*x-1)/(10*x-1) ogf] A020983 5.76721 [{a(n+3)-31*a(n+2)+318*a(n+1)-1080*a(n),a(0)=1,a(1)=31,a(2)=643} ogf] A020983 5.86413 [(37353953*f(x)-35461800)*(1080*f(x)*x^3-318*f(x)*x^2+31*f(x)*x-f(x)+1) ogf] A020984 16.2971 [-1/(11*x-1)/(12*x-1)/(9*x-1) ogf] A020984 5.69737 [(1654451393*f(x)-1560789648)*(1188*f(x)*x^3-339*f(x)*x^2+32*f(x)*x-f(x)+1) ogf] A020984 5.79155 [{a(n+3)-32*a(n+2)+339*a(n+1)-1188*a(n),a(0)=1,a(1)=32,a(2)=685} ogf] A020984 9.87735 [-2*(16-339*x+1782*x^2)/(11*x-1)/(12*x-1)/(9*x-1) lgdogf] A020988 12.9219 [-4*f(x)*x^2+5*f(x)*x-f(x)+2*x ogf] A020988 15.4252 [-1/8*(-2-5*x+(9*x+2)^(1/2)*(x+2)^(1/2))/x revogf] A020988 17.3504 [2*x/(4*x-1)/(x-1) ogf] A020988 27.4970 [-(-5+8*x)/(4*x-1)/(x-1) lgdogf] A020988 7.92551 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=0,a(1)=2} ogf] A020989 12.4328 [(x+1)/(4*x-1)/(x-1) ogf] A020989 13.0265 [-1/2*(-1-5*x+(1+14*x+9*x^2)^(1/2))/(4*x-1) revogf] A020989 6.82290 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=6} ogf] A020989 8.24611 [(133*f(x)+191)*(4*f(x)*x^2-5*f(x)*x+f(x)-x-1) ogf] A020992 14.1903 [x*(x-2)/(x^3+x^2+x-1) ogf] A020992 19.4637 [-(-1-4*x+2*x^3-5*x^2)/(x-2)/(x^3+x^2+x-1) lgdogf] A020992 7.2869 [-(f(x)+4)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+2*x) ogf] A020992 7.28690 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A021000 2.0281 [(20*f(x)+9)*(2*f(x)*x^2-4*f(x)*x+f(x)+x-2) ogf] A021000 3.87593 [-(x-2)/(2*x^2-4*x+1) ogf] A021001 15.8902 [-(x+2)/(2*x^2+4*x-1) ogf] A021001 17.5587 [(-1-2*x+((2*x+1)*(1+3*x))^(1/2))/(2*x+1) revogf] A021001 20.6573 [-(9+8*x+2*x^2)/(x+2)/(2*x^2+4*x-1) lgdogf] A021001 8.31468 [(44*f(x)-7)*(2*f(x)*x^2+4*f(x)*x-f(x)+x+2) ogf] A021001 8.72026 [{a(n+2)-4*a(n+1)-2*a(n),a(0)=2,a(1)=9} ogf] A021003 10.5661 [-(17+127*x+2*x^4+37*x^3+177*x^2)/(x-1)/(x^4+11*x^3+36*x^2+11*x+1) lgdogf] A021003 6.28018 [x*(x^4+11*x^3+36*x^2+11*x+1)/(x-1)^6 ogf] A021004 6.79639 [-(10+10*x+4*x^8-x^6-8*x^5-7*x^4-8*x^3+6*x^2+2*x^9+2*x^10)/(2*x^5+x^4+2*x^3-x^2-2*x-4)/(x^6+x^4-x^3-x^2-2*x+1) lgdogf] A021004 7.46807 [-(2*x^5+x^4+2*x^3-x^2-2*x-4)/(x^6+x^4-x^3-x^2-2*x+1) ogf] A021006 13.3762 [-(3*x+4)/(2*x^2+2*x-1) ogf] A021006 15.5014 [-(11+16*x+6*x^2)/(3*x+4)/(2*x^2+2*x-1) lgdogf] A021006 16.3626 [(-2-x+((4+3*x)*(x+1))^(1/2))/(3+2*x) revogf] A021006 6.91873 [(38*f(x)-31)*(2*f(x)*x^2+2*f(x)*x-f(x)+3*x+4) ogf] A021006 7.25218 [{a(n+2)-2*a(n+1)-2*a(n),a(0)=4,a(1)=11} ogf] A021008 5.21329 [-(7*f(x)-18)*(f(x)*x^4-2*f(x)*x^2+2*x^3+3*f(x)*x+x^2-f(x)-4*x+5) ogf] A021008 8.22231 [-(11-18*x+11*x^2+8*x^3-8*x^4+2*x^5+2*x^6)/(2*x^3+x^2-4*x+5)/(x^4-2*x^2+3*x-1) lgdogf] A021008 9.36880 [-(2*x^3+x^2-4*x+5)/(x^4-2*x^2+3*x-1) ogf] A021011 5.99724 [-(11-4*x+16*x^5+3*x^10+4*x^9+3*x^8+10*x^7+2*x^6+8*x^4+2*x^3+14*x^2)/(x^6+x^3-x^2+2*x-1)/(3*x^5+2*x^4+x^3+4*x^2-x+6) lgdogf] A021011 7.56500 [-(3*x^5+2*x^4+x^3+4*x^2-x+6)/(x^6+x^3-x^2+2*x-1) ogf] A021014 7.49715 [-(11+12*x-4*x^7-x^2-8*x^3+13*x^4+10*x^5-x^6+4*x^8)/(x^5-x^4+x^2+x-1)/(4*x^4-2*x^3-x^2+4*x+7) lgdogf] A021014 8.28187 [-(4*x^4-2*x^3-x^2+4*x+7)/(x^5-x^4+x^2+x-1) ogf] A021015 10.2753 [-2*x/(-1+x)/(x+1) lgdogf] A021015 10.7768 [[x] ogf_with_Euler_transform] A021015 12.4771 [arcsinh(1/9*x) revegf] A021015 3.45661 [f(x)*x^2-f(x)+9*x ogf] A021015 4.29458 [-9*x/(x-1)/(x+1) ogf] A021016 11.0726 [{-a(n+3)+a(n+2),a(0)=0,a(1)=8,a(2)=3} ogf] A021016 18.7556 [f(x)*x-5*x^2-f(x)+8*x ogf] A021016 22.4152 [x*(5*x-8)/(x-1) ogf] A021016 26.6247 [4/5+1/10*x-1/10*(64-4*x+x^2)^(1/2) revogf] A021016 60.3492 [3/(x-1)/(5*x-8) lgdogf] A021017 13.0077 [-x*(3*x^2-x+7)/(x-1)/(x+1)/(x^2-x+1) ogf] A021017 14.6006 [-6*(1+x+5*x^3-x^4+x^5-4*x^2)/(x-1)/(x+1)/(x^2-x+1)/(3*x^2-x+7) lgdogf] A021017 6.60548 [-(33259*f(x)+820747)*(f(x)*x^4-f(x)*x^3+3*x^3+f(x)*x-x^2-f(x)+7*x) ogf] A021018 11.0395 [-(1+6*x+30*x^3+5*x^6-21*x^4+6*x^5-9*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3+3*x^2-6*x+7) lgdogf] A021018 12.5894 [-x*(5*x^3+3*x^2-6*x+7)/(x-1)/(x+1)/(x^2-x+1) ogf] A021018 6.85839 [-(9133*f(x)-49911)*(f(x)*x^4-f(x)*x^3+5*x^4+3*x^3+f(x)*x-6*x^2-f(x)+7*x) ogf] A021019 113.155 [-1/(x-1) lgdogf] A021019 12.9440 [{-a(n+2)+a(n+1),a(0)=0,a(1)=6} ogf] A021019 129.320 [x/(6+x) revogf] A021019 15.5767 [-f(x)*(f(x)*x-f(x)+6*x) ogf] A021019 31.6905 [-6*x/(x-1) ogf] A021020 39.3582 [2*(1+5*x)/(5*x^2+6+2*x) lgdogf] A021020 6.60942 [{a(n+4),a(0)=0,a(1)=6,a(2)=2,a(3)=5} ogf] A021020 7.42289 [(150*f(x)+559)*(-5*x^3-2*x^2+f(x)-6*x) ogf] A021021 10.1465 [-(33-724*x+3960*x^2)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A021021 11.3483 [-1/(12*x-1)/(10*x-1)/(11*x-1) ogf] A021021 3.96728 [(2431798663*f(x)-2380336200)*(1320*f(x)*x^3-362*f(x)*x^2+33*f(x)*x-f(x)+1) ogf] A021021 4.03286 [{a(n+3)-33*a(n+2)+362*a(n+1)-1320*a(n),a(0)=1,a(1)=33,a(2)=727} ogf] A021022 113.155 [-1/(x-1) lgdogf] A021022 12.9440 [{-a(n+2)+a(n+1),a(0)=0,a(1)=5} ogf] A021022 129.320 [x/(5+x) revogf] A021022 15.5767 [-f(x)*(f(x)*x-f(x)+5*x) ogf] A021022 31.6905 [-5*x/(x-1) ogf] A021023 7.86007 [-x*(x^8+x^7+2*x^6+4*x^5-2*x^4-3*x^3+4*x^2-3*x+5)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021024 12.4319 [-(-11+82*x+120*x^3-183*x^2)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A021024 13.6068 [1/(x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A021024 5.11464 [(81183133141*f(x)+12893688000)*(30*f(x)*x^4-61*f(x)*x^3+41*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A021025 12.2537 [-x*(9*x^4+x^3+6*x^2+7*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021025 8.08249 [-(7+12*x+36*x^3+35*x^6+24*x^7+3*x^8+18*x^9+24*x^5+3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(9*x^4+x^3+6*x^2+7*x+4) lgdogf] A021026 11.0726 [{a(n+3)-a(n+1),a(0)=0,a(1)=4,a(2)=5} ogf] A021026 13.7168 [-f(x)*(f(x)*x^2+5*x^2-f(x)+4*x) ogf] A021026 20.4228 [-x*(5*x+4)/(x-1)/(x+1) ogf] A021026 26.6247 [-(5+8*x+5*x^2)/(x-1)/(5*x+4)/(x+1) lgdogf] A021026 30.1746 [(-2+((4+x)*(x+1))^(1/2))/(5+x) revogf] A021027 6.59901 [-x*(3*x^10-2*x^9+8*x^8-6*x^7+4*x^6-6*x^5+x^4+3*x^3+x^2-x+4)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021028 10.9408 [(1355*f(x)-667)*(5*x^3+f(x)*x-3*x^2-f(x)+4*x) ogf] A021028 18.7556 [-x*(5*x^2-3*x+4)/(x-1) ogf] A021028 25.8640 [(-1-10*x+5*x^2)/(x-1)/(5*x^2-3*x+4) lgdogf] A021028 9.67394 [{-a(n+4)+a(n+3),a(0)=0,a(1)=4,a(2)=1,a(3)=6} ogf] A021029 4.0026 [(41591*f(x)+5508)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A021029 8.78166 [-2*(-6+47*x+72*x^3-108*x^2)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) lgdogf] A021029 9.66666 [1/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A021030 11.0395 [-(8-8*x-8*x^3+5*x^6+19*x^4-8*x^5+10*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3-4*x^2+5*x+3) lgdogf] A021030 12.5894 [-x*(5*x^3-4*x^2+5*x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021030 6.75753 [-(10042*f(x)+108987)*(f(x)*x^4-f(x)*x^3+5*x^4-4*x^3+f(x)*x+5*x^2-f(x)+3*x) ogf] A021031 10.2931 [{-a(n+3)+a(n),a(0)=0,a(1)=3,a(2)=7} ogf] A021031 17.1551 [-x*(7*x+3)/(x-1)/(x^2+x+1) ogf] A021031 22.0790 [-(7+14*x^3+9*x^2)/(x-1)/(7*x+3)/(x^2+x+1) lgdogf] A021031 9.89718 [(1977*f(x)+19453)*(f(x)*x^3+7*x^2-f(x)+3*x) ogf] A021032 10.1712 [-(5+4*x+34*x^3+2*x^6-11*x^4+4*x^5-20*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^4-3*x^3+2*x^2+2*x+3) lgdogf] A021032 11.3460 [-x*(5*x^4-3*x^3+2*x^2+2*x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021033 5.83459 [-x*(x^13+2*x^12+6*x^11-2*x^10-4*x^9-2*x^8+3*x^7-2*x^6+5*x^5-6*x^4+4*x^3+x+3)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021034 10.2222 [1/(x-1)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A021034 3.81533 [(799507554131*f(x)+90718088832)*(42*f(x)*x^4-83*f(x)*x^3+53*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A021034 9.13792 [-(-13+106*x+168*x^3-249*x^2)/(x-1)/(3*x-1)/(2*x-1)/(7*x-1) lgdogf] A021035 6.18192 [-x*(9*x^13+2*x^12+x^11+6*x^10+x^9+5*x^8+4*x^7+6*x^6+8*x^4+5*x^3+2*x^2+2*x+3)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021036 28.2887 [(1+4*x+15*x^2)/(2*x^2+3+x+5*x^3) lgdogf] A021036 5.47284 [{-a(n+5),a(0)=0,a(1)=3,a(2)=1,a(3)=2,a(4)=5} ogf] A021036 6.5822 [(651*f(x)+2810)*(-5*x^4-2*x^3-x^2+f(x)-3*x) ogf] A021037 11.0137 [{a(n+2)-a(n),a(0)=0,a(1)=3} ogf] A021037 16.9235 [f(x)*x^2-f(x)+3*x ogf] A021037 21.0262 [-3*x/(x-1)/(x+1) ogf] A021037 34.8169 [1/2/x*(-3+(9+4*x^2)^(1/2)) revogf] A021037 53.2562 [[x] ogf_with_Euler_transform] A021037 56.5774 [-2*x/(x-1)/(x+1) lgdogf] A021038 8.49003 [-x*(5*x^8-2*x^7-x^6+6*x^5-3*x^3-5*x^2+7*x+2)/(x-1)/(x^8+1) ogf] A021039 11.0395 [-(8-6*x-12*x^3+4*x^6+21*x^4-6*x^5+9*x^2)/(x-1)/(x+1)/(x^2-x+1)/(4*x^3-3*x^2+6*x+2) lgdogf] A021039 12.5894 [-x*(4*x^3-3*x^2+6*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021039 6.75753 [-(63931*f(x)+744333)*(f(x)*x^4-f(x)*x^3+4*x^4-3*x^3+f(x)*x+6*x^2-f(x)+2*x) ogf] A021040 11.0726 [{-a(n+3)+a(n+2),a(0)=0,a(1)=2,a(2)=7} ogf] A021040 13.7168 [-f(x)*(f(x)*x+5*x^2-f(x)+2*x) ogf] A021040 22.4152 [-x*(5*x+2)/(x-1) ogf] A021040 25.8640 [-1/10*x-1/5+1/10*(x^2+24*x+4)^(1/2) revogf] A021040 56.5774 [-7/(5*x+2)/(x-1) lgdogf] A021041 10.2931 [{-a(n+3)+a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A021041 17.1551 [-x*(7*x+2)/(x-1)/(x^2+x+1) ogf] A021041 22.0790 [-(7+14*x^3+6*x^2)/(7*x+2)/(x-1)/(x^2+x+1) lgdogf] A021041 9.41439 [-(1356*f(x)+17591)*(f(x)*x^3+7*x^2-f(x)+2*x) ogf] A021042 7.28494 [-x*(5*x^9-5*x^8+x^7+x^6+2*x^5+4*x^4-2*x^3-3*x^2+4*x+2)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021043 14.8334 [-x*(x+2)/(x-1)/(x^2-x+1) ogf] A021043 21.5533 [-(5-8*x+2*x^3+4*x^2)/(x+2)/(x-1)/(x^2-x+1) lgdogf] A021043 7.61714 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A021043 7.68638 [(94*f(x)-377)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x) ogf] A021044 11.9681 [-2*(-7+59*x-141*x^2+96*x^3)/(-1+x)/(3*x-1)/(2*x-1)/(8*x-1) lgdogf] A021044 13.3270 [1/(x-1)/(3*x-1)/(2*x-1)/(8*x-1) ogf] A021044 5.04521 [(15585073031*f(x)+1546214400)*(48*f(x)*x^4-94*f(x)*x^3+59*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A021045 10.5260 [-(4+6*x+9*x^6+18*x^7+10*x^4+16*x^5+27*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^3+3*x^2+4*x+2) lgdogf] A021045 13.6347 [-x*(9*x^3+3*x^2+4*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021046 12.2537 [-x*(5*x^5+9*x^4+8*x^2+3*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021046 7.80378 [-(3+16*x+36*x^3+15*x^6+32*x^7+18*x^9+5*x^10+25*x^4+12*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^5+9*x^4+8*x^2+3*x+2) lgdogf] A021048 10.0009 [-(-15+130*x+216*x^3-315*x^2)/(x-1)/(3*x-1)/(2*x-1)/(9*x-1) lgdogf] A021048 10.9599 [1/(x-1)/(3*x-1)/(2*x-1)/(9*x-1) ogf] A021048 4.38394 [(37240253*f(x)+3281472)*(54*f(x)*x^4-105*f(x)*x^3+65*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A021049 10.2769 [1/(x-1)/(3*x-1)/(2*x-1)/(10*x-1) ogf] A021049 3.99246 [(9034195379*f(x)+715884750)*(60*f(x)*x^4-116*f(x)*x^3+71*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021049 9.05649 [-2*(-8+71*x-174*x^2+120*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(10*x-1) lgdogf] A021050 6.18076 [-x*(5*x^11+x^10-x^9+4*x^8-3*x^7+2*x^6-8*x^5+6*x^4-4*x^3+6*x^2-x+2)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021052 16.0426 [x*(5*x^3-8*x^2+2*x-2)/(x-1) ogf] A021052 20.5736 [x*(16+10*x^2-23*x)/(x-1)/(5*x^3-8*x^2+2*x-2) lgdogf] A021052 4.86398 [{(182*n^2-216*n-296)*a(n+1)+(-321*n^2-99*n+222)*a(n+2)+(139*n^2+315*n+74)*a(n+3),a(0)=0,a(1)=2,a(2)=0} ogf] A021052 9.14429 [-(11675*f(x)+458008)*(-5*x^4+8*x^3+f(x)*x-2*x^2-f(x)+2*x) ogf] A021054 10.2769 [1/(x-1)/(3*x-1)/(2*x-1)/(11*x-1) ogf] A021054 3.77518 [(17849192428999*f(x)+1284863323392)*(66*f(x)*x^4-127*f(x)*x^3+77*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021054 9.05649 [-(-17+154*x-381*x^2+264*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(11*x-1) lgdogf] A021055 5.83705 [-x*(9*x^14+4*x^13+5*x^12+2*x^11+7*x^10+3*x^9+x^8+3*x^7+4*x^6+8*x^5+7*x^4+6*x^2+9*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021056 10.0582 [-(9-14*x+4*x^3+7*x^6+16*x^4-14*x^5+10*x^2)/(x-1)/(x+1)/(5*x^4+2*x^3-7*x^2+8*x+1)/(x^2-x+1) lgdogf] A021056 10.4383 [-x*(5*x^4+2*x^3-7*x^2+8*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021057 6.87487 [-x*(3*x^11+8*x^10+2*x^9+5*x^8+4*x^7+2*x^6+9*x^5+7*x^4+6*x^3+8*x^2+8*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021058 10.2114 [-(3527*f(x)-23246)*(f(x)*x^3+5*x^3+8*x^2-f(x)+x) ogf] A021058 15.6076 [-(8+10*x+16*x^3+5*x^4+3*x^2)/(x-1)/(x^2+x+1)/(5*x^2+8*x+1) lgdogf] A021058 17.3401 [-x*(5*x^2+8*x+1)/(x-1)/(x^2+x+1) ogf] A021058 9.67394 [{a(n+4)-a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=5} ogf] A021059 11.0726 [{a(n+3)-a(n+1),a(0)=0,a(1)=1,a(2)=8} ogf] A021059 13.7168 [-f(x)*(f(x)*x^2+8*x^2-f(x)+x) ogf] A021059 20.4228 [-x*(8*x+1)/(x-1)/(x+1) ogf] A021059 25.8640 [1/2/(8+x)*(-1+(1+32*x+4*x^2)^(1/2)) revogf] A021059 26.6247 [-2*(4+x+4*x^2)/(x-1)/(8*x+1)/(x+1) lgdogf] A021060 10.3261 [x*(5*x^5-8*x^4+2*x^3-x^2-6*x-1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021060 8.53999 [(7+2*x+28*x^3+6*x^6-10*x^7+5*x^8-32*x^4+22*x^5-10*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^5-8*x^4+2*x^3-x^2-6*x-1) lgdogf] A021062 5.54286 [-x*(5*x^14+x^12+3*x^11-x^10-2*x^9-6*x^8+2*x^7+4*x^6+2*x^5-3*x^4+2*x^3-5*x^2+6*x+1)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021064 3.74984 [(116281811*f(x)+7667712)*(72*f(x)*x^4-138*f(x)*x^3+83*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021064 8.45161 [-2*(-9+83*x+144*x^3-207*x^2)/(x-1)/(3*x-1)/(2*x-1)/(12*x-1) lgdogf] A021064 9.44404 [1/(x-1)/(3*x-1)/(2*x-1)/(12*x-1) ogf] A021067 14.8334 [-x*(3*x+1)/(x-1)/(x^2-x+1) ogf] A021067 20.5736 [-(x+1)*(6*x^2-9*x+5)/(x-1)/(3*x+1)/(x^2-x+1) lgdogf] A021067 7.35219 [-(409*f(x)-901)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+3*x^2-f(x)+x) ogf] A021067 7.61714 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A021068 19.2604 [(5+12*x+20*x^3+6*x^2)/(6*x^2+1+5*x+5*x^4+2*x^3) lgdogf] A021069 10.9065 [-(5-4*x-16*x^3+6*x^6+14*x^4-4*x^5+17*x^2)/(x-1)/(x+1)/(x^2-x+1)/(6*x^3-2*x^2+4*x+1) lgdogf] A021069 12.5894 [-x*(6*x^3-2*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021069 7.01545 [(38240*f(x)+57771)*(f(x)*x^4-f(x)*x^3+6*x^4-2*x^3+f(x)*x+4*x^2-f(x)+x) ogf] A021070 11.0726 [{a(n+3)-a(n+1),a(0)=0,a(1)=1,a(2)=5} ogf] A021070 13.7168 [-f(x)*(f(x)*x^2+5*x^2-f(x)+x) ogf] A021070 20.4228 [-x*(5*x+1)/(x-1)/(x+1) ogf] A021070 25.8640 [1/2/(5+x)*(-1+(1+20*x+4*x^2)^(1/2)) revogf] A021070 26.6247 [-(5+2*x+5*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A021072 7.81976 [-x*(5*x^9+2*x^8-6*x^7+3*x^5+5*x^4-7*x^3+3*x^2+3*x+1)/(x-1)/(x^8+1) ogf] A021074 3.5632 [(1411150873*f(x)+169888000)*(40*f(x)*x^4-78*f(x)*x^3+49*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A021074 8.57042 [-2*(5*x-2)*(16*x^2-17*x+3)/(x-1)/(4*x-1)/(2*x-1)/(5*x-1) lgdogf] A021074 9.27775 [1/(x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A021076 3.8321 [(113824139*f(x)+11413440)*(48*f(x)*x^4-92*f(x)*x^3+56*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A021076 8.78255 [-(-13+112*x+192*x^3-276*x^2)/(x-1)/(6*x-1)/(4*x-1)/(2*x-1) lgdogf] A021076 9.83332 [1/(x-1)/(6*x-1)/(4*x-1)/(2*x-1) ogf] A021077 11.7563 [-(3+6*x-10*x^3+6*x^6+6*x^7-x^4+2*x^5+6*x^2)/(x-1)/(3*x^3+3*x^2+2*x+1)/(1+x^4) lgdogf] A021077 11.8340 [-x*(3*x^3+3*x^2+2*x+1)/(x-1)/(x^4+1) ogf] A021078 11.4845 [(93*f(x)+16)*(f(x)*x^3+5*x^3+3*x^2-f(x)+x) ogf] A021078 16.0777 [-(3+10*x+6*x^3+5*x^4+3*x^2)/(x-1)/(x^2+x+1)/(5*x^2+3*x+1) lgdogf] A021078 17.5518 [-x*(5*x^2+3*x+1)/(x-1)/(x^2+x+1) ogf] A021078 9.79204 [{a(n+4)-a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=5} ogf] A021079 10.1965 [1/(x-1)/(4*x-1)/(2*x-1)/(7*x-1) ogf] A021079 3.90504 [(41683481081*f(x)+3578263808)*(56*f(x)*x^4-106*f(x)*x^3+63*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A021079 8.98054 [-2*(-7+63*x+112*x^3-159*x^2)/(x-1)/(-1+4*x)/(2*x-1)/(-1+7*x) lgdogf] A021080 6.78824 [-x*(5*x^10-3*x^9+3*x^8-5*x^7+x^6+x^5+2*x^4+4*x^3-2*x^2+2*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021081 13.0077 [-x*(7*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021081 13.7157 [-2*(1+7*x+x^3-2*x^4+7*x^5-5*x^2)/(x-1)/(x+1)/(x^2-x+1)/(7*x^2+x+1) lgdogf] A021081 6.71033 [-(7573*f(x)-76677)*(f(x)*x^4-f(x)*x^3+7*x^3+f(x)*x+x^2-f(x)+x) ogf] A021082 8.71652 [-x*(5*x^4-5*x^3+7*x^2+x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021082 9.05239 [-(2+12*x+28*x^3+21*x^6-10*x^7+5*x^8-11*x^4-20*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^4-5*x^3+7*x^2+x+1) lgdogf] A021083 6.87487 [-x*(x^11+8*x^10+4*x^9+8*x^8+7*x^7+2*x^6+2*x^5+8*x^4+5*x^3+6*x^2+2*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021084 3.71908 [(233521081519*f(x)+15550818048)*(72*f(x)*x^4-134*f(x)*x^3+77*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021084 8.81808 [-2*(-8+77*x+144*x^3-201*x^2)/(x-1)/(-1+4*x)/(9*x-1)/(2*x-1) lgdogf] A021084 9.84867 [1/(x-1)/(4*x-1)/(9*x-1)/(2*x-1) ogf] A021085 9.38788 [-x*(9*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A021086 13.3192 [-x*(5*x^4+9*x^3+x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021086 8.96276 [-(2+2*x+20*x^3+3*x^6+18*x^7+5*x^8+5*x^4+8*x^5+27*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+9*x^3+x^2+2*x+1) lgdogf] A021088 10.9805 [-x*(5*x^6+7*x^5+4*x^4+9*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021088 7.67151 [-(1+18*x+16*x^3+5*x^6+36*x^7+8*x^9+7*x^10+35*x^4+36*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^6+7*x^5+4*x^4+9*x^2+x+1) lgdogf] A021089 8.49003 [-x*(4*x^8+5*x^7-7*x^6+3*x^5-2*x^4-x^3+6*x^2+1)/(x-1)/(x^8+1) ogf] A021092 10.2769 [1/(x-1)/(4*x-1)/(2*x-1)/(10*x-1) ogf] A021092 4.05074 [(342512363*f(x)+20504000)*(80*f(x)*x^4-148*f(x)*x^3+84*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021092 8.90803 [-(-17+168*x-444*x^2+320*x^3)/(x-1)/(-1+4*x)/(-1+2*x)/(10*x-1) lgdogf] A021094 10.3304 [1/(x-1)/(2*x-1)/(4*x-1)/(11*x-1) ogf] A021094 3.92846 [(103384569973*f(x)+5620440320)*(88*f(x)*x^4-162*f(x)*x^3+91*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021094 8.95541 [-2*(-9+91*x-243*x^2+176*x^3)/(-1+x)/(2*x-1)/(-1+4*x)/(11*x-1) lgdogf] A021095 11.8059 [-x*(9*x^2-x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021095 14.6006 [-6*x*(x^2+x+1)*(3*x^2-5*x+3)/(x-1)/(x+1)/(9*x^2-x+1)/(x^2-x+1) lgdogf] A021095 6.09036 [-(4771*f(x)-34844)*(f(x)*x^4-f(x)*x^3+9*x^3+f(x)*x-x^2-f(x)+x) ogf] A021096 5.81237 [-x*(5*x^12-3*x^11+6*x^10-x^9-3*x^8-x^7+x^6-4*x^5+3*x^4-2*x^3+8*x^2-x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021097 6.39782 [-x*(3*x^13+4*x^12+2*x^10+7*x^9+x^8+8*x^7+8*x^6+6*x^5+2*x^4+5*x^3+7*x^2+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021099 7.24759 [-x*(2*x^9+2*x^8+4*x^7-2*x^6-3*x^5+4*x^4-3*x^3+5*x^2-x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021100 14.0681 [-x*(5*x^4-3*x^3+4*x^2-x+1)/(x-1) ogf] A021100 16.4589 [x*(-8-26*x^2+15*x^3+13*x)/(x-1)/(5*x^4-3*x^3+4*x^2-x+1) lgdogf] A021104 3.7986 [(51783617*f(x)+2578176)*(96*f(x)*x^4-176*f(x)*x^3+98*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021104 9.49650 [1/(x-1)/(2*x-1)/(12*x-1)/(4*x-1) ogf] A021105 15.4192 [-9*x^2/(x^2+1)/(x-1) ogf] A021105 23.8734 [[x^3-x+1] ogf_with_Euler_transform] A021105 31.2151 [-(-2*x+1+3*x^2)/(x-1)/(x^2+1) lgdogf] A021105 6.30785 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=9} ogf] A021105 6.73653 [(f(x)-9)*(f(x)*x^3-f(x)*x^2+f(x)*x+9*x^2-f(x)) ogf] A021106 5.61625 [-x^2*(5*x^14+4*x^13+7*x^12+2*x^11+6*x^10+8*x^9+6*x^8+5*x^7+x^6+2*x^5+9*x^4+3*x^3+8*x+9)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021108 10.0582 [(6-10*x-4*x^3+8*x^6+11*x^4-10*x^5+17*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^4-13*x^3+5*x^2+3*x-9) lgdogf] A021108 10.6329 [x^2*(5*x^4-13*x^3+5*x^2+3*x-9)/(x-1)/(x+1)/(x^2-x+1) ogf] A021109 11.5193 [-x^2*(8*x^4+3*x^3+2*x^2+5*x+9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021109 8.08249 [-(5+4*x+32*x^3+25*x^6+8*x^7+9*x^8+16*x^9+54*x^5+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(8*x^4+3*x^3+2*x^2+5*x+9) lgdogf] A021110 6.58405 [-x^2*(5*x^11+x^10+4*x^9+6*x^8+2*x^7+2*x^6+6*x^5+9*x^4+3*x^3+3*x^2+4*x+9)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021112 11.8581 [{a(n+3)-a(n),a(0)=9,a(1)=2,a(2)=5} ogf] A021112 15.2227 [-(2+10*x+4*x^3+5*x^4+27*x^2)/(x-1)/(x^2+x+1)/(5*x^2+2*x+9) lgdogf] A021112 18.3922 [-(5*x^2+2*x+9)/(x-1)/(x^2+x+1) ogf] A021112 9.72797 [(494789*f(x)+2675828)*(f(x)*x^3+5*x^4+2*x^3+9*x^2-f(x)) ogf] A021114 3.91159 [(211633417*f(x)+16983000)*(60*f(x)*x^4-112*f(x)*x^3+65*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A021114 8.88323 [-2*(-7+65*x+120*x^3-168*x^2)/(x-1)/(-1+6*x)/(2*x-1)/(5*x-1) lgdogf] A021114 9.92385 [1/(x-1)/(6*x-1)/(2*x-1)/(5*x-1) ogf] A021115 18.7982 [-9*x^2/(x-1)/(x^2+x+1) ogf] A021115 36.4101 [[x^2] ogf_with_Euler_transform] A021115 41.1472 [-3*x^2/(x-1)/(x^2+x+1) lgdogf] A021115 8.38299 [{a(n+3)-a(n),a(0)=0,a(1)=0,a(2)=9} ogf] A021115 9.84669 [-f(x)*(f(x)*x^3+9*x^2-f(x)) ogf] A021116 8.53999 [(9-14*x-6*x^3+12*x^6-10*x^7+5*x^8-9*x^4+6*x^5+25*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^5+2*x^4-14*x^3+7*x^2-x-8) lgdogf] A021116 9.72797 [x^2*(5*x^5+2*x^4-14*x^3+7*x^2-x-8)/(x-1)/(x+1)/(x^2-x+1) ogf] A021119 6.35991 [-x^2*(6*x^10-4*x^9+6*x^8-x^7-3*x^6-x^5+x^4-4*x^3+3*x^2-2*x+8)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021120 5.34705 [-x^2*(5*x^14+2*x^13-5*x^12+6*x^11-4*x^10-x^8-3*x^7+x^6+2*x^5+6*x^4-2*x^3-4*x^2-2*x+8)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021121 10.9065 [-(5-2*x-38*x^3+21*x^6+56*x^4-26*x^5+20*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(7*x^2-3*x+8) lgdogf] A021121 9.02806 [-x^2*(7*x^2-3*x+8)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021124 10.3601 [1/(x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A021124 3.85823 [(7956646321723*f(x)+546355096000)*(70*f(x)*x^4-129*f(x)*x^3+73*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A021124 9.44251 [-(-15+146*x-387*x^2+280*x^3)/(x-1)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A021125 7.06357 [-x^2*(9*x^9-8*x^8+6*x^7-4*x^6+2*x^5-2*x^3+4*x^2-6*x+8)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021127 12.9792 [-x^2*(3*x^2+x+8)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021127 14.3689 [-(1+6*x+9*x^6+40*x^4+4*x^5)/(x-1)/(3*x^2+x+8)/(x^4+x^3+x^2+x+1) lgdogf] A021127 7.32489 [-(15855893*f(x)-34109261)*(f(x)*x^5+3*x^4+x^3+8*x^2-f(x)) ogf] A021129 10.7963 [1/(x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A021129 4.07692 [(465270767137*f(x)+27907456000)*(80*f(x)*x^4-146*f(x)*x^3+81*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021129 9.52036 [-2*(-8+81*x-219*x^2+160*x^3)/(x-1)/(-1+2*x)/(-1+8*x)/(5*x-1) lgdogf] A021130 9.04201 [-x^2*(5*x^3+x^2+2*x+7)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021130 9.73375 [-(9-12*x-34*x^3-2*x^6+10*x^7+35*x^4+6*x^5+33*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^3+x^2+2*x+7) lgdogf] A021132 20.1164 [2*(5*x+4)*(2*x^2-x+1)/(x^2+7+8*x+5*x^4+2*x^3) lgdogf] A021134 3.65721 [(19102930286341*f(x)+1016914176000)*(90*f(x)*x^4-163*f(x)*x^3+89*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021134 9.06978 [-(-17+178*x+360*x^3-489*x^2)/(x-1)/(9*x-1)/(2*x-1)/(5*x-1) lgdogf] A021134 9.95572 [1/(x-1)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A021136 12.8793 [-f(x)*(f(x)*x^2+5*x^3+7*x^2-f(x)) ogf] A021136 18.6618 [-x^2*(5*x+7)/(x-1)/(x+1) ogf] A021136 25.8640 [-(5+14*x+5*x^2)/(x-1)/(5*x+7)/(x+1) lgdogf] A021136 9.72797 [{-a(n+4)+a(n+2),a(0)=0,a(1)=0,a(2)=7,a(3)=5} ogf] A021137 7.68638 [-x^2*(3*x^7-3*x^6+2*x^5-x^4+7*x^3-4*x^2-2*x+7)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021139 10.8082 [-f(x)*(f(x)*x^3+4*x^3+7*x^2-f(x)) ogf] A021139 15.6609 [-x^2*(4*x+7)/(x-1)/(x^2+x+1) ogf] A021139 22.0790 [-(4+8*x^3+21*x^2)/(x-1)/(4*x+7)/(x^2+x+1) lgdogf] A021139 8.16367 [{a(n+4)-a(n+1),a(0)=0,a(1)=0,a(2)=7,a(3)=4} ogf] A021140 7.39048 [x^2*(5*x^9-13*x^8+3*x^6+5*x^5-7*x^4+3*x^3-2*x^2+4*x-7)/(x-1)/(x^8+1) ogf] A021141 11.6543 [-x^2*(7*x^2-5*x+7)/(x-1)/(x^4+1) ogf] A021141 12.7498 [-(2+14*x-28*x^3+21*x^6+50*x^4-34*x^5-7*x^2)/(x-1)/(7*x^2-5*x+7)/(x^4+1) lgdogf] A021144 10.0900 [1/(x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A021144 4.23627 [(153417*f(x)+7340)*(100*f(x)*x^4-180*f(x)*x^3+97*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021144 9.05649 [-2*(-9+97*x-270*x^2+200*x^3)/(x-1)/(-1+2*x)/(5*x-1)/(10*x-1) lgdogf] A021147 12.5801 [-3*x^2*(x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021147 18.1048 [-3*(1+2*x^3+x^4-2*x^2)/(x-1)/(x+2)/(x+1)/(x^2-x+1) lgdogf] A021147 6.67291 [-(f(x)-8)*(f(x)*x^4-f(x)*x^3+3*x^3+f(x)*x+6*x^2-f(x)) ogf] A021148 17.2534 [x^2*(5*x^2-3*x-6)/(x-1) ogf] A021148 26.6247 [(9-10*x+5*x^2)/(x-1)/(5*x^2-3*x-6) lgdogf] A021148 8.62669 [{-a(n+5)+a(n+4),a(0)=0,a(1)=0,a(2)=6,a(3)=9,a(4)=4} ogf] A021148 9.72797 [-(1525*f(x)+77469)*(-5*x^4+3*x^3+f(x)*x+6*x^2-f(x)) ogf] A021149 5.64878 [-x^2*(2*x^13+4*x^12+2*x^11-3*x^10+2*x^9-5*x^8+6*x^7-4*x^6-x^4-3*x^3+x^2+2*x+6)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021150 10.7767 [-(8-8*x-34*x^3-17*x^6+10*x^7+24*x^4+16*x^5+19*x^2)/(x-1)/(5*x^3-4*x^2+2*x+6)/(1+x^4) lgdogf] A021150 11.1596 [-x^2*(5*x^3-4*x^2+2*x+6)/(x-1)/(x^4+1) ogf] A021152 12.1924 [f(x)*(f(x)*x^3+5*x^4+7*x^3+6*x^2-f(x)) ogf] A021152 15.3430 [-(7+10*x+14*x^3+5*x^4+18*x^2)/(x-1)/(x^2+x+1)/(5*x^2+7*x+6) lgdogf] A021152 16.0426 [-x^2*(5*x^2+7*x+6)/(x-1)/(x^2+x+1) ogf] A021152 8.62669 [{-a(n+5)+a(n+2),a(0)=0,a(1)=0,a(2)=6,a(3)=7,a(4)=5} ogf] A021154 10.0647 [1/(x-1)/(5*x-1)/(2*x-1)/(11*x-1) ogf] A021154 3.7326 [(532796707520813*f(x)+23145014552000)*(110*f(x)*x^4-197*f(x)*x^3+105*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021154 9.35696 [-(-19+210*x-591*x^2+440*x^3)/(x-1)/(5*x-1)/(2*x-1)/(11*x-1) lgdogf] A021156 6.50696 [x^2*(5*x^10-8*x^9-3*x^8+4*x^7-3*x^6+5*x^5-x^4-x^3-2*x^2+x-6)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021157 5.65320 [-x^2*(3*x^13+8*x^12+x^11+4*x^10+2*x^9+x^8+7*x^7+7*x^6+4*x^5+9*x^4+5*x^3+3*x^2+5*x+6)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021158 12.1871 [-x^2*(5*x^2-2*x+6)/(x-1)/(x+1)/(x^2-x+1) ogf] A021158 12.4005 [-(4+10*x+28*x^3-11*x^4+10*x^5-23*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^2-2*x+6) lgdogf] A021158 6.51866 [-(2579*f(x)-1402)*(f(x)*x^4-f(x)*x^3+5*x^4-2*x^3+f(x)*x+6*x^2-f(x)) ogf] A021160 12.1871 [-x^2*(5*x^2-8*x+6)/(x-1)/(x^2-x+1) ogf] A021160 15.3430 [-(4-14*x-16*x^3+5*x^4+24*x^2)/(x-1)/(x^2-x+1)/(5*x^2-8*x+6) lgdogf] A021160 5.92188 [{-a(n+5)+2*a(n+4)-2*a(n+3)+a(n+2),a(0)=0,a(1)=0,a(2)=6,a(3)=4,a(4)=1} ogf] A021160 6.56959 [-(323*f(x)+1456)*(f(x)*x^3+5*x^4-2*f(x)*x^2-8*x^3+2*f(x)*x+6*x^2-f(x)) ogf] A021162 6.80078 [-x^2*(5*x^11+4*x^9+2*x^8+9*x^7+3*x^6+x^5+x^4+9*x^3+2*x^2+3*x+6)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021163 6.95159 [-x^2*(x^10+6*x^9+7*x^8+x^7+8*x^6+3*x^4+9*x^3+8*x^2+2*x+6)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021164 3.48851 [(7590888418463*f(x)+301945536000)*(120*f(x)*x^4-214*f(x)*x^3+113*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021164 9.15734 [1/(x-1)/(5*x-1)/(2*x-1)/(12*x-1) ogf] A021166 8.95338 [-x^2*(5*x^7+9*x^6+3*x^5+8*x^4+2*x^3+7*x^2+x+6)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A021168 12.6542 [-x^2*(5*x^4+7*x^3+9*x^2+6)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021168 9.83955 [-x*(18+20*x^2+27*x^5+14*x^6+5*x^7+30*x^3+21*x)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+7*x^3+9*x^2+6) lgdogf] A021169 11.0137 [-f(x)*(f(x)*x^2+6*x^2-f(x)) ogf] A021169 21.0262 [-6*x^2/(x-1)/(x+1) ogf] A021169 53.2562 [[x] ogf_with_Euler_transform] A021169 56.5774 [-2*x/(x-1)/(x+1) lgdogf] A021169 8.46174 [{-a(n+3)+a(n+1),a(0)=0,a(1)=0,a(2)=6} ogf] A021172 6.91022 [(9+10*x+12*x^3+45*x^6+20*x^7+6*x^8+6*x^9+8*x^10+40*x^4+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^6-8*x^5-3*x^4-2*x^3-5*x^2-9*x-5) lgdogf] A021172 9.44839 [x^2*(5*x^6-8*x^5-3*x^4-2*x^3-5*x^2-9*x-5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021174 10.5236 [1/(x-1)/(6*x-1)/(2*x-1)/(7*x-1) ogf] A021174 4.03033 [(40108019479*f(x)+2290523130)*(84*f(x)*x^4-152*f(x)*x^3+83*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021174 9.43219 [-2*(-8+83*x-228*x^2+168*x^3)/(-1+x)/(6*x-1)/(2*x-1)/(7*x-1) lgdogf] A021179 11.6056 [-(7-12*x+8*x^6+12*x^4-12*x^5+15*x^2)/(x-1)/(x+1)/(x^2-x+1)/(8*x^3-6*x^2+2*x+5) lgdogf] A021179 11.8757 [-x^2*(8*x^3-6*x^2+2*x+5)/(x-1)/(x+1)/(x^2-x+1) ogf] A021180 14.0681 [x^2*(5*x^3-3*x^2-6*x-5)/(x-1)/(x+1) ogf] A021180 17.4084 [(6+16*x+5*x^4-9*x^2)/(x-1)/(x+1)/(5*x^3-3*x^2-6*x-5) lgdogf] A021184 10.0009 [-(-17+184*x+384*x^3-516*x^2)/(x-1)/(6*x-1)/(2*x-1)/(8*x-1) lgdogf] A021184 10.9599 [1/(x-1)/(6*x-1)/(2*x-1)/(8*x-1) ogf] A021184 4.22737 [(12508378531*f(x)+623835648)*(96*f(x)*x^4-172*f(x)*x^3+92*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021186 12.1871 [-x^2*(5*x^2-x+5)/(x-1)/(x+1)/(x^2-x+1) ogf] A021186 12.9320 [-2*(2+5*x+11*x^3-4*x^4+5*x^5-10*x^2)/(x-1)/(x+1)/(5*x^2-x+5)/(x^2-x+1) lgdogf] A021186 6.27542 [-(1025641*f(x)+272745)*(f(x)*x^4-f(x)*x^3+5*x^4-x^3+f(x)*x+5*x^2-f(x)) ogf] A021188 5.59662 [x^2*(5*x^12-8*x^11+2*x^10-8*x^9+6*x^8-4*x^7+6*x^6-x^5-3*x^4-x^3+x^2+x-5)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021189 10.8082 [-f(x)*(f(x)*x^3+4*x^3+5*x^2-f(x)) ogf] A021189 15.6609 [-x^2*(4*x+5)/(x-1)/(x^2+x+1) ogf] A021189 21.5533 [-(x+2)*(8*x^2-x+2)/(4*x+5)/(x-1)/(x^2+x+1) lgdogf] A021189 8.16367 [{a(n+4)-a(n+1),a(0)=0,a(1)=0,a(2)=5,a(3)=4} ogf] A021190 6.16087 [-x^2*(5*x^13+x^12+2*x^11+6*x^9+8*x^8+4*x^6+4*x^5+3*x^4+6*x^3+7*x^2+3*x+5)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021191 5.65320 [-x^2*(7*x^13+7*x^12+8*x^11+8*x^10+2*x^9+8*x^8+5*x^7+3*x^6+9*x^5+5*x^4+7*x^3+4*x^2+3*x+5)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021193 11.8059 [-x^2*(x^3+9*x^2+2*x+5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021193 9.83955 [-(2+18*x+10*x^6+36*x^7+3*x^8+30*x^5+3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^3+9*x^2+2*x+5) lgdogf] A021194 3.90928 [(410942609*f(x)+18186120)*(108*f(x)*x^4-192*f(x)*x^3+101*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021194 9.01404 [-2*(-9+101*x+216*x^3-288*x^2)/(x-1)/(6*x-1)/(9*x-1)/(2*x-1) lgdogf] A021194 9.70339 [1/(x-1)/(6*x-1)/(9*x-1)/(2*x-1) ogf] A021196 13.1860 [x^2*(5*x^4-8*x^3+2*x^2+3*x-5)/(x-1) ogf] A021196 15.0873 [(2-4*x-36*x^3+15*x^4+26*x^2)/(x-1)/(5*x^4-8*x^3+2*x^2+3*x-5) lgdogf] A021199 9.04201 [-x^2*(2*x^3+6*x^2-4*x+5)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021199 9.52883 [-(1+2*x-32*x^3+16*x^6+4*x^7+45*x^4-28*x^5+19*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^3+6*x^2-4*x+5) lgdogf] A021202 11.4337 [-(-19+220*x-636*x^2+480*x^3)/(x-1)/(6*x-1)/(-1+2*x)/(10*x-1) lgdogf] A021202 12.4644 [1/(x-1)/(6*x-1)/(2*x-1)/(10*x-1) ogf] A021202 4.95039 [(7249957264*f(x)+288316125)*(120*f(x)*x^4-212*f(x)*x^3+110*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021204 11.5900 [-2*(-10+119*x+264*x^3-348*x^2)/(x-1)/(6*x-1)/(2*x-1)/(11*x-1) lgdogf] A021204 12.8388 [1/(x-1)/(6*x-1)/(2*x-1)/(11*x-1) ogf] A021204 4.92449 [(1790436839797*f(x)+64641894372)*(132*f(x)*x^4-232*f(x)*x^3+119*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021206 13.1827 [-x^2*(5*x+4)/(x^2+1)/(x-1) ogf] A021206 21.0521 [-(9-8*x+10*x^3+7*x^2)/(x-1)/(5*x+4)/(1+x^2) lgdogf] A021206 6.18574 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=4,a(3)=9} ogf] A021206 7.51538 [-f(x)*(f(x)*x^3-f(x)*x^2+5*x^3+f(x)*x+4*x^2-f(x)) ogf] A021208 5.57979 [-x^2*(5*x^15+2*x^14+7*x^13+3*x^12+x^11+3*x^10+4*x^9+8*x^8+7*x^7+6*x^5+9*x^4+x^3+9*x+4)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021209 10.2868 [-(8+14*x+21*x^6+16*x^7+20*x^4+32*x^5+24*x^2)/(x-1)/(8*x^3+7*x^2+8*x+4)/(x^4+x^3+x^2+x+1) lgdogf] A021209 12.7250 [-x^2*(8*x^3+7*x^2+8*x+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021212 8.30494 [(8-16*x-2*x^3+14*x^6-10*x^7+5*x^8-14*x^4+4*x^5+29*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^5-3*x^4-11*x^3+8*x^2-4*x-4) lgdogf] A021212 8.94582 [x^2*(5*x^5-3*x^4-11*x^3+8*x^2-4*x-4)/(x-1)/(x+1)/(x^2-x+1) ogf] A021213 8.51449 [-x^2*(x^7+2*x^5+2*x^4-4*x^3+x^2+3*x+4)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021214 3.81959 [(4443349*f(x)+146880)*(144*f(x)*x^4-252*f(x)*x^3+128*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021214 8.26740 [-(-21+256*x+576*x^3-756*x^2)/(x-1)/(-1+6*x)/(2*x-1)/(-1+12*x) lgdogf] A021214 9.20793 [1/(x-1)/(6*x-1)/(2*x-1)/(12*x-1) ogf] A021216 6.58405 [-x^2*(5*x^12+7*x^11+2*x^9+3*x^8+x^7+x^6+8*x^5+9*x^4+6*x^3+x^2+7*x+4)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021220 14.0681 [-x^2*(5*x^3+2*x^2+6*x+4)/(x-1)/(x^2+x+1) ogf] A021220 14.1444 [-(6+4*x+12*x^3+2*x^4+27*x^2)/(x-1)/(x^2+x+1)/(5*x^3+2*x^2+6*x+4) lgdogf] A021223 11.6543 [-x^2*(x^2+x+4)/(x-1)/(x^4+1) ogf] A021223 14.6006 [-(5+2*x-16*x^3+3*x^6+17*x^4+2*x^5-x^2)/(x-1)/(x^2+x+4)/(x^4+1) lgdogf] A021224 3.66778 [(508933367723*f(x)+21703678976)*(112*f(x)*x^4-198*f(x)*x^3+103*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021224 8.81808 [-2*(-9+103*x+224*x^3-297*x^2)/(x-1)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A021224 9.49693 [1/(x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A021226 10.8082 [-f(x)*(f(x)*x^3+5*x^3+4*x^2-f(x)) ogf] A021226 15.6609 [-x^2*(5*x+4)/(x-1)/(x^2+x+1) ogf] A021226 21.5533 [-(5+10*x^3+12*x^2)/(5*x+4)/(x-1)/(x^2+x+1) lgdogf] A021226 8.16367 [{a(n+4)-a(n+1),a(0)=0,a(1)=0,a(2)=4,a(3)=5} ogf] A021228 7.73708 [(4+4*x+4*x^3+25*x^6+16*x^7-23*x^8+10*x^9+44*x^4-58*x^5-8*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^6-8*x^5+2*x^4-2*x^3-2*x^2-4) lgdogf] A021228 9.83257 [x^2*(5*x^6-8*x^5+2*x^4-2*x^3-2*x^2-4)/(x-1)/(x+1)/(x^2-x+1) ogf] A021229 3.651 [(1316407500098933*f(x)+49807650078144)*(126*f(x)*x^4-221*f(x)*x^3+113*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021229 9.20999 [-(-19+226*x-663*x^2+504*x^3)/(x-1)/(9*x-1)/(-1+2*x)/(7*x-1) lgdogf] A021229 9.90984 [1/(x-1)/(9*x-1)/(2*x-1)/(7*x-1) ogf] A021234 3.80104 [(1327407700883*f(x)+45127352375)*(140*f(x)*x^4-244*f(x)*x^3+123*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021234 9.20999 [-2*(14*x-5)*(20*x^2-19*x+2)/(x-1)/(-1+2*x)/(7*x-1)/(10*x-1) lgdogf] A021234 9.90984 [1/(x-1)/(2*x-1)/(7*x-1)/(10*x-1) ogf] A021235 11.8059 [-x^2*(9*x^3+2*x^2+3*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021235 9.63020 [-(3+4*x+15*x^6+8*x^7+27*x^8+24*x^5+27*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(9*x^3+2*x^2+3*x+4) lgdogf] A021236 5.04150 [-x^2*(5*x^15+2*x^14-4*x^13-2*x^12+3*x^11-2*x^10+5*x^9-6*x^8+4*x^7+x^5+3*x^4-x^3-2*x^2-x+4)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021238 12.1871 [-x^2*(5*x^2-2*x+4)/(x-1)/(x+1)/(x^2-x+1) ogf] A021238 12.4005 [-(2+10*x+20*x^3-11*x^4+10*x^5-17*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^2-2*x+4) lgdogf] A021238 7.31223 [-f(x)*(f(x)*x^4-f(x)*x^3+5*x^4-2*x^3+f(x)*x+4*x^2-f(x)) ogf] A021241 6.95159 [-x^2*(7*x^10+2*x^9+8*x^8+2*x^7+9*x^6+4*x^4+9*x^3+x^2+2*x+4)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021243 10.8269 [-x^2*(x^4+4*x^3+8*x^2+x+4)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021243 8.22944 [-(1+16*x+4*x^3+28*x^6+6*x^7+40*x^8+16*x^9+3*x^10+12*x^2)/(x-1)/(x^4+4*x^3+8*x^2+x+4)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A021244 3.33648 [(1748338163552489*f(x)+53956795249280)*(154*f(x)*x^4-267*f(x)*x^3+133*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021244 8.40359 [-(-21+266*x+616*x^3-801*x^2)/(x-1)/(7*x-1)/(2*x-1)/(11*x-1) lgdogf] A021244 9.05616 [1/(x-1)/(7*x-1)/(2*x-1)/(11*x-1) ogf] A021246 6.71595 [-x^2*(5*x^10+4*x^9-4*x^8+3*x^7-2*x^6+x^5-x^3+2*x^2-3*x+4)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021250 12.4005 [-x*(12+18*x^5+10*x^6+20*x^3+15*x)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^3+6*x^2+4) lgdogf] A021250 12.8986 [-x^2*(5*x^3+6*x^2+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021251 7.64461 [-x^2*(7*x^7-6*x^6+3*x^5-3*x^4+4*x^3+4*x^2-4*x+4)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021254 3.47972 [(74726606028709*f(x)+2111363380224)*(168*f(x)*x^4-290*f(x)*x^3+143*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021254 8.17975 [-2*(-11+143*x+336*x^3-435*x^2)/(x-1)/(7*x-1)/(2*x-1)/(-1+12*x) lgdogf] A021254 9.25852 [1/(x-1)/(7*x-1)/(2*x-1)/(12*x-1) ogf] A021256 10.1498 [-x^2*(5*x^3-3*x^2+6*x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021256 9.42198 [-(9-6*x-10*x^3+5*x^6+21*x^4-6*x^5+9*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3-3*x^2+6*x+3) lgdogf] A021257 6.51866 [-x^2*(3*x^9+5*x^8-8*x^7+3*x^6+x^5+3*x^4-3*x^3-4*x^2+6*x+3)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021259 5.65320 [-x^2*(8*x^14+9*x^13+5*x^11+4*x^10+7*x^9+2*x^8+6*x^7+8*x^6+6*x^5+5*x^4+x^3+2*x^2+9*x+3)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021260 28.3796 [(9+8*x^3+25*x^4+18*x^2)/(6*x^3+3+9*x+5*x^5+2*x^4) lgdogf] A021263 12.0698 [-(8-4*x-2*x^3+3*x^6+x^4+18*x^5+3*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+5*x+3) lgdogf] A021263 9.02806 [-x^2*(x^2+5*x+3)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021264 3.77518 [(5131733550361*f(x)+169498635264)*(144*f(x)*x^4-250*f(x)*x^3+125*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021264 8.76435 [-2*(-10+125*x-375*x^2+288*x^3)/(x-1)/(-1+8*x)/(-1+2*x)/(9*x-1) lgdogf] A021264 9.90984 [1/(x-1)/(8*x-1)/(2*x-1)/(9*x-1) ogf] A021268 3.85383 [(137989423583*f(x)+4094912000)*(160*f(x)*x^4-276*f(x)*x^3+136*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021268 8.90803 [-(-21+272*x-828*x^2+640*x^3)/(x-1)/(-1+2*x)/(-1+8*x)/(10*x-1) lgdogf] A021268 9.90984 [1/(x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A021269 6.80078 [-x^2*(6*x^11+6*x^10+5*x^9+9*x^7+4*x^6+8*x^5+5*x^4+3*x^3+7*x^2+7*x+3)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021270 7.10506 [-x^2*(5*x^8-4*x^7-x^6+6*x^5-6*x^4+4*x^3-2*x^2+4*x+3)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021274 3.41874 [(102232420072543*f(x)+2753884232704)*(176*f(x)*x^4-302*f(x)*x^3+147*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021274 9.15734 [1/(x-1)/(2*x-1)/(11*x-1)/(8*x-1) ogf] A021275 12.9792 [-3*x^2*(3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021275 14.1444 [-(2+6*x+9*x^6+5*x^4+8*x^5)/(x-1)/(3*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A021275 7.87036 [-(8995*f(x)+60798)*(f(x)*x^5+9*x^4+6*x^3+3*x^2-f(x)) ogf] A021276 6.52101 [x^2*(5*x^10-3*x^9-6*x^8-5*x^7+7*x^6-3*x^5+2*x^4+x^3-x^2-3*x-3)/(x-1)/(x^8+1) ogf] A021277 17.0530 [-3*x^2/(x-1)/(x^2-x+1) ogf] A021277 23.2027 [x^5-x^2-x+2 ogf_with_Euler_transform] A021277 30.1746 [-(2-4*x+3*x^2)/(x-1)/(x^2-x+1) lgdogf] A021277 6.97623 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A021277 9.47389 [f(x)*x^3-2*f(x)*x^2+2*f(x)*x+3*x^2-f(x) ogf] A021278 10.9065 [-(6-4*x-22*x^3-11*x^6+10*x^7+6*x^4+16*x^5+17*x^2)/(x-1)/(5*x^3-2*x^2+3*x+3)/(x^4+1) lgdogf] A021278 11.1596 [-x^2*(5*x^3-2*x^2+3*x+3)/(x-1)/(x^4+1) ogf] A021279 3.67121 [(11379065693*f(x)+280613376)*(192*f(x)*x^4-328*f(x)*x^3+158*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021279 8.64369 [-(-23+316*x+768*x^3-984*x^2)/(x-1)/(2*x-1)/(12*x-1)/(8*x-1) lgdogf] A021279 9.30912 [1/(x-1)/(2*x-1)/(12*x-1)/(8*x-1) ogf] A021283 6.20684 [-x^2*(x^12+8*x^11+6*x^10+9*x^8+3*x^7+9*x^6+2*x^5+2*x^4+4*x^3+8*x^2+5*x+3)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021284 3.45419 [(2703947435981*f(x)+71175550500)*(180*f(x)*x^4-308*f(x)*x^3+149*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021284 8.08162 [-2*(-11+149*x+360*x^3-462*x^2)/(x-1)/(9*x-1)/(2*x-1)/(10*x-1) lgdogf] A021284 9.00555 [1/(x-1)/(9*x-1)/(2*x-1)/(10*x-1) ogf] A021285 6.20341 [-x^2*(9*x^12-2*x^11+x^10-5*x^9-2*x^8+7*x^6-6*x^5-x^4+3*x^3+2*x+3)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021290 12.1871 [-x^2*(5*x^2+x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021290 13.7157 [-2*(2+5*x+5*x^3-x^4+5*x^5-7*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^2+x+3) lgdogf] A021290 6.56959 [-(1861*f(x)+367)*(f(x)*x^4-f(x)*x^3+5*x^4+x^3+f(x)*x+3*x^2-f(x)) ogf] A021292 14.9906 [x^2*(5*x^3-3*x^2-x-3)/(x-1) ogf] A021292 20.1164 [2*(2+3*x+5*x^3-9*x^2)/(x-1)/(5*x^3-3*x^2-x-3) lgdogf] A021292 4.96972 [{(61*n^2-175*n-24)*a(n+1)+(-110*n^2+198*n+96)*a(n+2)+(49*n^2-23*n-72)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A021294 3.36674 [(29381363238620641*f(x)+702008066295360)*(198*f(x)*x^4-337*f(x)*x^3+161*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021294 8.45241 [-(-23+322*x+792*x^3-1011*x^2)/(x-1)/(9*x-1)/(2*x-1)/(11*x-1) lgdogf] A021294 9.25852 [1/(x-1)/(9*x-1)/(2*x-1)/(11*x-1) ogf] A021296 10.2868 [-(4-4*x+4*x^3-8*x^6+4*x^7+5*x^8-3*x^4+8*x^5+8*x^2)/(x-1)/(5*x^4+2*x^3-2*x^2+x+3)/(x^4+1) lgdogf] A021296 10.7580 [-x^2*(5*x^4+2*x^3-2*x^2+x+3)/(x-1)/(x^4+1) ogf] A021300 11.0172 [f(x)*(5*x^5+f(x)*x^3+7*x^4+3*x^3+3*x^2-f(x)) ogf] A021300 14.0681 [-x^2*(5*x^3+7*x^2+3*x+3)/(x-1)/(x^2+x+1) ogf] A021300 14.1444 [-(3+14*x+6*x^3+7*x^4+24*x^2)/(x-1)/(x^2+x+1)/(5*x^3+7*x^2+3*x+3) lgdogf] A021301 11.8059 [-x^2*(7*x^3+6*x^2+3*x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021301 9.83955 [-3*(1+4*x+5*x^6+8*x^7+7*x^8+6*x^5+7*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^3+6*x^2+3*x+3) lgdogf] A021304 3.69116 [(27343405279*f(x)+598067712)*(216*f(x)*x^4-366*f(x)*x^3+173*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021304 8.40674 [-2*(-12+173*x+432*x^3-549*x^2)/(x-1)/(9*x-1)/(2*x-1)/(12*x-1) lgdogf] A021304 9.35971 [1/(x-1)/(9*x-1)/(2*x-1)/(12*x-1) ogf] A021307 15.4192 [-3*x^2/(x^2+1)/(x-1) ogf] A021307 23.8734 [[x^3-x+1] ogf_with_Euler_transform] A021307 31.2151 [-(-2*x+1+3*x^2)/(x-1)/(1+x^2) lgdogf] A021307 6.30785 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A021307 6.73653 [(f(x)-3)*(f(x)*x^3-f(x)*x^2+f(x)*x+3*x^2-f(x)) ogf] A021308 6.10584 [-x^2*(5*x^11-3*x^10-x^9+2*x^8+3*x^7-4*x^6+3*x^5-5*x^4+x^3+6*x^2-x+3)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021310 5.65320 [-x^2*(5*x^14+x^13+9*x^12+2*x^10+6*x^9+5*x^8+8*x^7+3*x^6+7*x^5+9*x^4+7*x^3+6*x^2+2*x+3)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021312 11.6056 [-(2+4*x+4*x^3+5*x^6-5*x^4+4*x^5+4*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3+2*x^2-x+3) lgdogf] A021312 11.8757 [-x^2*(5*x^3+2*x^2-x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021314 3.52237 [(19751130412579*f(x)+423932484250)*(220*f(x)*x^4-372*f(x)*x^3+175*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021314 8.09489 [-2*(-12+175*x+440*x^3-558*x^2)/(x-1)/(2*x-1)/(-1+10*x)/(11*x-1) lgdogf] A021314 9.30912 [1/(x-1)/(2*x-1)/(10*x-1)/(11*x-1) ogf] A021316 7.71474 [-x^2*(5*x^5-3*x^4+4*x^3+x^2-x+3)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021316 8.30494 [-(2-4*x-34*x^3+17*x^6-2*x^7+2*x^8+57*x^4-32*x^5+21*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^5-3*x^4+4*x^3+x^2-x+3) lgdogf] A021319 12.1871 [-x^2*(6*x^2-2*x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021319 12.4005 [-(1+12*x+16*x^3-12*x^4+12*x^5-15*x^2)/(x-1)/(x+1)/(x^2-x+1)/(6*x^2-2*x+3) lgdogf] A021319 6.56959 [-(1717*f(x)+710)*(f(x)*x^4-f(x)*x^3+6*x^4-2*x^3+f(x)*x+3*x^2-f(x)) ogf] A021320 6.58405 [-x^2*(5*x^12+2*x^11+2*x^9+6*x^8+9*x^7+6*x^6+5*x^5+5*x^4+4*x^3+6*x^2+x+3)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021322 6.99086 [-x^2*(5*x^11+8*x^9+8*x^8+4*x^6+5*x^5+6*x^4+4*x^3+4*x^2+x+3)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021324 3.60416 [(6753522312281*f(x)+132693336000)*(240*f(x)*x^4-404*f(x)*x^3+188*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A021324 8.36254 [-(-25+376*x+960*x^3-1212*x^2)/(x-1)/(2*x-1)/(12*x-1)/(-1+10*x) lgdogf] A021324 9.46089 [1/(x-1)/(2*x-1)/(12*x-1)/(10*x-1) ogf] A021328 8.81513 [-x^2*(5*x^8+7*x^7+9*x^6+x^5+4*x^4+6*x^3+8*x^2+3)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A021329 10.9209 [-x^2*(2*x^3+7*x^2-3*x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A021329 11.9110 [-2*x*(7+7*x^2+x^5-8*x^3+7*x^4-5*x)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3+7*x^2-3*x+3) lgdogf] A021332 11.2675 [-x^2*(5*x^5+7*x^4+8*x^3+4*x^2+3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021332 9.33236 [-x*(8+28*x^2+12*x^5+16*x^6+7*x^7+40*x^3+24*x)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^5+7*x^4+8*x^3+4*x^2+3) lgdogf] A021334 3.14227 [(128294190050813*f(x)+2287824168960)*(264*f(x)*x^4-442*f(x)*x^3+203*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A021334 7.42339 [-2*(-13+203*x+528*x^3-663*x^2)/(x-1)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A021334 8.41679 [1/(x-1)/(2*x-1)/(12*x-1)/(11*x-1) ogf] A021337 18.7982 [-3*x^2/(x-1)/(x^2+x+1) ogf] A021337 36.4101 [[x^2] ogf_with_Euler_transform] A021337 41.1472 [-3*x^2/(x-1)/(x^2+x+1) lgdogf] A021337 8.38299 [{a(n+3)-a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A021337 9.84669 [-f(x)*(f(x)*x^3+3*x^2-f(x)) ogf] A021340 8.66914 [x^2*(5*x^7+2*x^6-9*x^5-x^4-6*x^3-7*x^2-9*x-2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021344 3.50038 [(635709140833*f(x)+53432352000)*(60*f(x)*x^4-107*f(x)*x^3+59*f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A021344 8.42719 [-(-13+118*x+240*x^3-321*x^2)/(x-1)/(4*x-1)/(3*x-1)/(5*x-1) lgdogf] A021344 9.26954 [1/(x-1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A021354 3.96282 [(4092253*f(x)+285696)*(72*f(x)*x^4-126*f(x)*x^3+67*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A021354 8.88409 [-2*(-7+67*x+144*x^3-189*x^2)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1) lgdogf] A021354 9.76028 [1/(x-1)/(6*x-1)/(4*x-1)/(3*x-1) ogf] A021355 11.8059 [-x^2*(9*x^3+4*x^2+8*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021355 9.52883 [-(8+8*x+40*x^6+16*x^7+27*x^8+12*x^5+27*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(9*x^3+4*x^2+8*x+2) lgdogf] A021356 12.4005 [2*(-4-4*x-10*x^3-4*x^4+5*x^5+8*x^2)/(x-1)/(x+1)/(5*x^4-8*x^3+2*x^2+8*x+2) lgdogf] A021356 9.56792 [-x^2*(5*x^4-8*x^3+2*x^2+8*x+2)/(x-1)/(x+1) ogf] A021357 5.17643 [-x^2*(3*x^14+5*x^13+x^12-8*x^11-x^10+x^9+7*x^8-5*x^6-2*x^5+6*x^4-x^3-5*x^2+6*x+2)/(x-1)/(x^16+1) ogf] A021364 10.2510 [1/(x-1)/(3*x-1)/(7*x-1)/(4*x-1) ogf] A021364 3.79147 [(13762277102981*f(x)+820916377344)*(84*f(x)*x^4-145*f(x)*x^3+75*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A021364 9.02962 [-3*(-5+50*x+112*x^3-145*x^2)/(x-1)/(3*x-1)/(-1+7*x)/(-1+4*x) lgdogf] A021368 10.9065 [-(7-6*x+5*x^6-6*x^5+18*x^4-12*x^3+12*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3-3*x^2+5*x+2) lgdogf] A021368 11.8757 [-x^2*(5*x^3-3*x^2+5*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021369 10.9065 [-(7-8*x+12*x^7-18*x^6+28*x^5-5*x^4-20*x^3+22*x^2)/(x-1)/(6*x^3-4*x^2+5*x+2)/(x^4+1) lgdogf] A021369 11.1596 [-x^2*(6*x^3-4*x^2+5*x+2)/(x-1)/(x^4+1) ogf] A021373 12.9792 [-x^2*(x^2+7*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021373 14.1444 [-(7+2*x+3*x^6+28*x^5+10*x^4)/(x-1)/(x^2+7*x+2)/(x^4+x^3+x^2+x+1) lgdogf] A021373 7.54913 [-(176295*f(x)-8528899)*(f(x)*x^5+x^4+7*x^3+2*x^2-f(x)) ogf] A021374 10.7418 [1/(x-1)/(4*x-1)/(3*x-1)/(8*x-1) ogf] A021374 4.23397 [(952473823*f(x)+49572864)*(96*f(x)*x^4-164*f(x)*x^3+83*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021374 9.47128 [-2*(-8+83*x-246*x^2+192*x^3)/(x-1)/(-1+4*x)/(3*x-1)/(-1+8*x) lgdogf] A021376 6.16087 [-x^2*(5*x^14+7*x^13+x^11+3*x^9+4*x^8+2*x^6+7*x^5+x^4+8*x^3+8*x^2+6*x+2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021378 5.50843 [-x^2*(5*x^14+8*x^13+3*x^12+4*x^11+4*x^10+x^9+9*x^8+7*x^7+6*x^6+9*x^5+7*x^4+3*x^3+7*x^2+6*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021379 3.79233 [(16020043847*f(x)+739342080)*(108*f(x)*x^4-183*f(x)*x^3+91*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021379 8.86707 [-(-17+182*x+432*x^3-549*x^2)/(x-1)/(-1+4*x)/(3*x-1)/(9*x-1) lgdogf] A021379 9.72215 [1/(x-1)/(4*x-1)/(3*x-1)/(9*x-1) ogf] A021382 10.2868 [-(6-4*x+10*x^7-5*x^6+16*x^5+3*x^4-10*x^3+17*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^3+4*x+2) lgdogf] A021382 9.89302 [-x^2*(5*x^3+4*x+2)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021384 10.0900 [1/(x-1)/(4*x-1)/(3*x-1)/(10*x-1) ogf] A021384 3.80104 [(6217427613881*f(x)+257707872000)*(120*f(x)*x^4-202*f(x)*x^3+99*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021384 9.20999 [-6*(-3+33*x-101*x^2+80*x^3)/(x-1)/(-1+4*x)/(3*x-1)/(10*x-1) lgdogf] A021388 11.8160 [-x^2*(5*x^5-3*x^4+4*x^3-6*x^2+4*x+2)/(x-1) ogf] A021388 12.0698 [2*(-3+6*x+10*x^5-17*x^4+10*x^3-9*x^2)/(x-1)/(5*x^5-3*x^4+4*x^3-6*x^2+4*x+2) lgdogf] A021389 12.1871 [-x^2*(4*x^2+3*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021389 13.1194 [-(5+8*x+8*x^5+5*x^4+2*x^3-10*x^2)/(x-1)/(x+1)/(x^2-x+1)/(4*x^2+3*x+2) lgdogf] A021389 6.56959 [-(1927*f(x)-868)*(f(x)*x^4-f(x)*x^3+4*x^4+3*x^3+f(x)*x+2*x^2-f(x)) ogf] A021394 10.0131 [1/(x-1)/(3*x-1)/(4*x-1)/(11*x-1) ogf] A021394 3.68903 [(1535362210511933*f(x)+57750200107776)*(132*f(x)*x^4-221*f(x)*x^3+107*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021394 9.00279 [-(-19+214*x-663*x^2+528*x^3)/(-1+x)/(3*x-1)/(-1+4*x)/(11*x-1) lgdogf] A021399 6.58405 [-x^2*(2*x^11+6*x^10+9*x^9+6*x^8+5*x^7+5*x^6+4*x^5+6*x^4+x^3+3*x^2+5*x+2)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021400 13.6482 [f(x)*(f(x)*x^2+5*x^3+2*x^2-f(x)) ogf] A021400 18.6618 [-x^2*(5*x+2)/(x-1)/(x+1) ogf] A021400 26.6247 [-(5+4*x+5*x^2)/(x-1)/(5*x+2)/(x+1) lgdogf] A021400 9.72797 [{a(n+4)-a(n+2),a(0)=0,a(1)=0,a(2)=2,a(3)=5} ogf] A021403 7.22687 [-x^2*(x^7-x^6+4*x^5-4*x^4+6*x^3-5*x^2+3*x+2)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021404 3.85573 [(488363*f(x)+16812)*(144*f(x)*x^4-240*f(x)*x^3+115*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021404 9.15734 [1/(x-1)/(3*x-1)/(12*x-1)/(4*x-1) ogf] A021408 13.2526 [-x^2*(5*x^2+2*x+2)/(x^2+1)/(x-1) ogf] A021408 17.4084 [-(4+6*x+5*x^4+4*x^3-x^2)/(x-1)/(x^2+1)/(5*x^2+2*x+2) lgdogf] A021408 6.82410 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=4,a(4)=7} ogf] A021408 7.14398 [-(1012*f(x)-129)*(f(x)*x^3+5*x^4-f(x)*x^2+2*x^3+f(x)*x+2*x^2-f(x)) ogf] A021409 8.95338 [-x^2*(8*x^7+5*x^6+3*x^5+x^4+9*x^3+6*x^2+4*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A021411 11.8059 [-x^2*(7*x^3+5*x^2+4*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021411 9.42957 [-(4+10*x+21*x^8+20*x^7+20*x^6+12*x^5+21*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^3+5*x^2+4*x+2) lgdogf] A021412 5.27170 [-x^2*(5*x^16+2*x^15+6*x^14+8*x^13+6*x^12+5*x^11+x^10+2*x^9+9*x^8+3*x^7+8*x^5+9*x^4+5*x^2+4*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021414 10.0329 [1/(x-1)/(6*x-1)/(3*x-1)/(5*x-1) ogf] A021414 3.86983 [(16394350577*f(x)+911952000)*(90*f(x)*x^4-153*f(x)*x^3+77*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A021414 9.13792 [-(-15+154*x+360*x^3-459*x^2)/(x-1)/(6*x-1)/(3*x-1)/(5*x-1) lgdogf] A021415 10.2603 [-x^2*(9*x^5+3*x^3+3*x^2+4*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A021415 8.08249 [-(4+6*x+15*x^10+18*x^9+28*x^8+16*x^7+45*x^4+27*x^12+9*x^2)/(x-1)/(x+1)/(x^2+1)/(9*x^5+3*x^3+3*x^2+4*x+2)/(x^4+1) lgdogf] A021420 7.30031 [(-4+8*x+10*x^9-23*x^8+16*x^7+13*x^6-54*x^5+51*x^4-22*x^3-13*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^6-8*x^5+7*x^4+5*x^3-4*x^2+2*x+2) lgdogf] A021420 9.00826 [-x^2*(5*x^6-8*x^5+7*x^4+5*x^3-4*x^2+2*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021422 8.43183 [-x^2*(5*x^8+x^5+x^4-7*x^3+6*x^2+x+2)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021424 10.2252 [1/(x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A021424 3.85197 [(9614524555603*f(x)+456691165875)*(105*f(x)*x^4-176*f(x)*x^3+86*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021424 9.49328 [-4*(-4+43*x-132*x^2+105*x^3)/(x-1)/(3*x-1)/(7*x-1)/(5*x-1) lgdogf] A021428 6.29701 [-x^2*(5*x^13+7*x^12+3*x^11+6*x^9+6*x^8+5*x^7+9*x^5+4*x^4+8*x^3+5*x^2+3*x+2)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021429 8.06235 [-x^2*(8*x^8-3*x^6-5*x^5+7*x^4-3*x^3+2*x^2+x+2)/(x-1)/(x^8+1) ogf] A021433 12.5801 [-x^2*(x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021433 18.1048 [-3*(1+x^4+2*x^3-2*x^2)/(x-1)/(x+2)/(x+1)/(x^2-x+1) lgdogf] A021433 6.73145 [(43*f(x)+185)*(f(x)*x^4-f(x)*x^3+x^3+f(x)*x+2*x^2-f(x)) ogf] A021434 10.6535 [1/(x-1)/(3*x-1)/(8*x-1)/(5*x-1) ogf] A021434 3.90629 [(767501339205799*f(x)+31795884288000)*(120*f(x)*x^4-199*f(x)*x^3+95*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021434 9.73162 [-(-17+190*x-597*x^2+480*x^3)/(x-1)/(3*x-1)/(-1+8*x)/(5*x-1) lgdogf] A021436 12.5264 [-x^2*(5*x^4+2*x^3+x^2+3*x+2)/(x-1)/(x^2+x+1) ogf] A021436 12.5728 [(-3-2*x+5*x^6-x^4-26*x^3-12*x^2)/(x-1)/(x^2+x+1)/(5*x^4+2*x^3+x^2+3*x+2) lgdogf] A021442 6.96337 [-(2+16*x+4*x^11+15*x^10+48*x^9+14*x^8+16*x^7+30*x^5+4*x^3+10*x^13+9*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^6+x^4+3*x^3+8*x^2+2*x+2)/(x^4+1) lgdogf] A021442 9.92773 [-x^2*(5*x^6+x^4+3*x^3+8*x^2+2*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A021444 12.1924 [f(x)*(5*x^4+f(x)*x^2+2*x^3+2*x^2-f(x)) ogf] A021444 16.0426 [-x^2*(5*x^2+2*x+2)/(x-1)/(x+1) ogf] A021444 22.6310 [-2*(1+7*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+2) lgdogf] A021444 8.62669 [{-a(n+5)+a(n+3),a(0)=0,a(1)=0,a(2)=2,a(3)=2,a(4)=7} ogf] A021448 11.575 [-f(x)*(f(x)*x^3+5*x^4+2*x^3+2*x^2-f(x)) ogf] A021448 15.8814 [-(2+10*x+5*x^4+4*x^3+6*x^2)/(x-1)/(x^2+x+1)/(5*x^2+2*x+2) lgdogf] A021448 16.0426 [-x^2*(5*x^2+2*x+2)/(x-1)/(x^2+x+1) ogf] A021448 8.62669 [{-a(n+5)+a(n+2),a(0)=0,a(1)=0,a(2)=2,a(3)=2,a(4)=5} ogf] A021452 7.18443 [(-2-2*x+15*x^10-26*x^9+13*x^8+22*x^7-50*x^6+32*x^5-22*x^4-2*x^3+4*x^2)/(x-1)/(x+1)/(5*x^7-3*x^6+4*x^5-x^4+x^3+x^2+2)/(x^2-x+1) lgdogf] A021452 9.05375 [-x^2*(5*x^7-3*x^6+4*x^5-x^4+x^3+x^2+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021453 5.76703 [-x^2*(x^14+4*x^13+4*x^12-2*x^11-7*x^9+5*x^8+3*x^7-6*x^6+6*x^5-6*x^4+5*x^3+2)/(x-1)/(x^16+1) ogf] A021454 3.80633 [(17906651611*f(x)+657588375)*(135*f(x)*x^4-222*f(x)*x^3+104*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021454 8.96505 [-2*(-9+104*x+270*x^3-333*x^2)/(x-1)/(3*x-1)/(9*x-1)/(5*x-1) lgdogf] A021454 9.65177 [1/(x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A021455 8.48691 [-x^2*(9*x^7+4*x^6+9*x^5+2*x^4+7*x^3+x^2+2*x+2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A021459 12.1871 [-x^2*(8*x^2-x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021459 12.7498 [-(1+16*x+16*x^5-11*x^4+10*x^3-14*x^2)/(x-1)/(x+1)/(x^2-x+1)/(8*x^2-x+2) lgdogf] A021459 6.78151 [(2147*f(x)+519)*(f(x)*x^4-f(x)*x^3+8*x^4-x^3+f(x)*x+2*x^2-f(x)) ogf] A021464 3.93583 [(9108970541*f(x)+300352320)*(150*f(x)*x^4-245*f(x)*x^3+113*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021464 9.20999 [-(-19+226*x-735*x^2+600*x^3)/(x-1)/(3*x-1)/(5*x-1)/(10*x-1) lgdogf] A021464 9.90984 [1/(x-1)/(3*x-1)/(5*x-1)/(10*x-1) ogf] A021466 12.1871 [-x^2*(5*x^2-x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A021466 12.9320 [-(1+10*x+10*x^5-8*x^4+10*x^3-11*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^2-x+2) lgdogf] A021466 6.83664 [(518*f(x)+195)*(f(x)*x^4-f(x)*x^3+5*x^4-x^3+f(x)*x+2*x^2-f(x)) ogf] A021469 6.12683 [-x^2*(6*x^13+8*x^12+4*x^10+4*x^9+3*x^8+6*x^7+7*x^6+3*x^5+5*x^4+5*x^2+x+2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021472 13.2526 [-x^2*(5*x^2-3*x+2)/(x-1)/(x^2-x+1) ogf] A021472 16.1650 [-(1+2*x+5*x^4-6*x^3+2*x^2)/(x-1)/(x^2-x+1)/(5*x^2-3*x+2) lgdogf] A021472 6.43964 [{a(n+5)-2*a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=0,a(2)=2,a(3)=1,a(4)=3} ogf] A021472 7.14398 [-(1559*f(x)+793)*(f(x)*x^3+5*x^4-2*f(x)*x^2-3*x^3+2*f(x)*x+2*x^2-f(x)) ogf] A021474 3.30229 [(858080273816999*f(x)+25669848513375)*(165*f(x)*x^4-268*f(x)*x^3+122*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021474 8.25953 [-4*(-5+61*x+165*x^3-201*x^2)/(x-1)/(3*x-1)/(5*x-1)/(11*x-1) lgdogf] A021474 8.90438 [1/(x-1)/(3*x-1)/(5*x-1)/(11*x-1) ogf] A021478 6.85374 [-x^2*(5*x^11+3*x^10+x^9+4*x^8+6*x^7+4*x^6+7*x^4+9*x^3+x+2)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021479 6.92858 [-x^2*(4*x^9+4*x^8-2*x^7-3*x^6+4*x^5-3*x^4+5*x^3-x^2-x+2)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021481 7.16670 [-x^2*(7*x^10+8*x^9+5*x^8+6*x^6+3*x^5+4*x^4+6*x^3+9*x^2+2)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021482 11.1697 [-x^2*(5*x^5+2*x^3+9*x^2+2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021482 9.05239 [-x*(18+10*x^10+8*x^8+45*x^7+14*x^5+25*x^3+6*x)/(x-1)/(5*x^5+2*x^3+9*x^2+2)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A021484 3.50779 [(5723853336073*f(x)+156690144000)*(180*f(x)*x^4-291*f(x)*x^3+131*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021484 8.40519 [-(-21+262*x+720*x^3-873*x^2)/(x-1)/(3*x-1)/(5*x-1)/(-1+12*x) lgdogf] A021484 9.20793 [1/(x-1)/(3*x-1)/(5*x-1)/(12*x-1) ogf] A021485 11.7563 [-x*(14+27*x^5-26*x^4+25*x^3-12*x^2-x)/(x-1)/(x^2+x+1)/(x^2-x+1)/(9*x^2-2*x+2) lgdogf] A021485 8.16309 [-x^2*(9*x^2-2*x+2)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021488 6.62960 [-x^2*(5*x^11+2*x^10+2*x^9-7*x^8+2*x^7+4*x^6-5*x^4+6*x^2-2*x+2)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021494 10.4394 [1/(x-1)/(6*x-1)/(3*x-1)/(7*x-1) ogf] A021494 4.01514 [(161316356399*f(x)+6353589312)*(126*f(x)*x^4-207*f(x)*x^3+97*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021494 9.53200 [-(-17+194*x-621*x^2+504*x^3)/(x-1)/(6*x-1)/(-1+3*x)/(7*x-1) lgdogf] A021496 10.1712 [-x*(x+1)*(5*x^6-x^5+10*x^4-10*x^3+20*x^2+6)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+2*x^3+3*x^2+2) lgdogf] A021496 12.6542 [-x^2*(5*x^4+2*x^3+3*x^2+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021498 7.06645 [-x^2*(5*x^8+3*x^7-8*x^6+7*x^5-2*x^4+2*x^3+2*x^2-2*x+2)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021499 17.6824 [-2*x^2/(x-1)/(x+1) ogf] A021499 44.7682 [[x] ogf_with_Euler_transform] A021499 47.6059 [-2*x/(x-1)/(x+1) lgdogf] A021499 7.11610 [{-a(n+3)+a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A021499 9.26221 [-f(x)*(f(x)*x^2+2*x^2-f(x)) ogf] A021503 3.83288 [(285808607*f(x)+9815040)*(144*f(x)*x^4-234*f(x)*x^3+107*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021503 8.62294 [-2*(-9+107*x+288*x^3-351*x^2)/(x-1)/(-1+6*x)/(3*x-1)/(8*x-1) lgdogf] A021503 9.44532 [1/(x-1)/(6*x-1)/(3*x-1)/(8*x-1) ogf] A021504 3.92265 [(1239326957*f(x)+37718784)*(162*f(x)*x^4-261*f(x)*x^3+117*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021504 9.11201 [-(-19+234*x-783*x^2+648*x^3)/(x-1)/(6*x-1)/(-1+3*x)/(9*x-1) lgdogf] A021504 9.80661 [1/(x-1)/(6*x-1)/(3*x-1)/(9*x-1) ogf] A021508 11.8757 [-x^2*(5*x^3-8*x^2+7*x+1)/(x-1)/(x^2-x+1) ogf] A021508 14.1444 [-(9-20*x+2*x^4-6*x^3+20*x^2)/(x-1)/(x^2-x+1)/(5*x^3-8*x^2+7*x+1) lgdogf] A021509 13.1827 [-x^2*(8*x+1)/(x^2+1)/(x-1) ogf] A021509 21.0521 [-(9-2*x+16*x^3-5*x^2)/(x-1)/(8*x+1)/(x^2+1) lgdogf] A021509 6.18574 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=9} ogf] A021509 7.51538 [-f(x)*(f(x)*x^3-f(x)*x^2+8*x^3+f(x)*x+x^2-f(x)) ogf] A021510 6.35991 [-x^2*(5*x^10-4*x^9+3*x^8+x^7-4*x^6+6*x^5-4*x^4-x^3-2*x^2+8*x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021514 3.96394 [(1821906383*f(x)+49779000)*(180*f(x)*x^4-288*f(x)*x^3+127*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021514 8.90803 [-2*(-10+127*x-432*x^2+360*x^3)/(x-1)/(6*x-1)/(3*x-1)/(10*x-1) lgdogf] A021514 9.90984 [1/(x-1)/(6*x-1)/(3*x-1)/(10*x-1) ogf] A021516 12.9320 [(9+10*x+30*x^5+10*x^4+4*x^3+9*x^2)/(5*x^2+1+9*x+x^4+3*x^3+5*x^6+2*x^5) lgdogf] A021522 8.25145 [-x^2*(5*x^3-5*x^2+8*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021522 9.42957 [-(9-12*x+10*x^7-20*x^6+42*x^5-19*x^4+2*x^3+15*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^3-5*x^2+8*x+1) lgdogf] A021524 3.47801 [(514180809893*f(x)+12744122688)*(198*f(x)*x^4-315*f(x)*x^3+137*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021524 8.35557 [-(-21+274*x+792*x^3-945*x^2)/(x-1)/(6*x-1)/(3*x-1)/(11*x-1) lgdogf] A021524 9.00555 [1/(x-1)/(6*x-1)/(3*x-1)/(11*x-1) ogf] A021529 11.5193 [-x^2*(6*x^5+7*x^4+4*x^3+9*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021529 7.73708 [-(9+6*x^10+14*x^9+12*x^8+45*x^6+6*x^5+30*x^4+28*x^3+12*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(6*x^5+7*x^4+4*x^3+9*x+1) lgdogf] A021532 14.0681 [x^2*(5*x^3-8*x^2-8*x-1)/(x-1)/(x+1) ogf] A021532 17.4084 [(8+18*x+5*x^4-7*x^2)/(x-1)/(x+1)/(5*x^3-8*x^2-8*x-1) lgdogf] A021534 3.78451 [(70338847*f(x)+1595136)*(216*f(x)*x^4-342*f(x)*x^3+147*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021534 8.04991 [-2*(-11+147*x+432*x^3-513*x^2)/(x-1)/(-1+6*x)/(3*x-1)/(-1+12*x) lgdogf] A021534 9.25852 [1/(x-1)/(6*x-1)/(3*x-1)/(12*x-1) ogf] A021536 7.04585 [-x^2*(5*x^9+2*x^8-7*x^7+3*x^5-3*x^4+2*x^3-x^2+7*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021544 3.49489 [(7551898444899413*f(x)+221272335083520)*(168*f(x)*x^4-269*f(x)*x^3+119*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021544 9.01995 [-(-19+238*x+672*x^3-807*x^2)/(x-1)/(3*x-1)/(8*x-1)/(7*x-1) lgdogf] A021544 9.54854 [1/(x-1)/(3*x-1)/(8*x-1)/(7*x-1) ogf] A021546 10.5260 [-(8+8*x+10*x^7+12*x^6+32*x^5+5*x^4+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^3+4*x^2+8*x+1) lgdogf] A021546 12.7250 [-x^2*(5*x^3+4*x^2+8*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021548 6.11626 [-x^2*(5*x^11-8*x^10+2*x^9+8*x^8-3*x^7+2*x^6+x^5-6*x^4+5*x^3-5*x^2+7*x+1)/(x-1)/(x^8+1) ogf] A021550 10.0582 [-(8-10*x+10*x^7-17*x^6+36*x^5-15*x^4+15*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^3-4*x^2+7*x+1) lgdogf] A021550 9.04201 [-x^2*(5*x^3-4*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021552 10.7580 [-x^2*(5*x^4+2*x^3-6*x^2+7*x+1)/(x-1)/(x^4+1) ogf] A021552 9.42957 [-(8-12*x+5*x^8+4*x^7-20*x^6+40*x^5-31*x^4+12*x^3+12*x^2)/(x-1)/(5*x^4+2*x^3-6*x^2+7*x+1)/(x^4+1) lgdogf] A021554 13.6482 [f(x)*(f(x)*x^2+8*x^3+x^2-f(x)) ogf] A021554 18.6618 [-x^2*(8*x+1)/(x-1)/(x+1) ogf] A021554 26.6247 [-2*(4+x+4*x^2)/(x-1)/(8*x+1)/(x+1) lgdogf] A021554 9.72797 [{a(n+4)-a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=8} ogf] A021559 10.8082 [-f(x)*(f(x)*x^3+8*x^3+x^2-f(x)) ogf] A021559 15.6609 [-x^2*(8*x+1)/(x-1)/(x^2+x+1) ogf] A021559 22.0790 [-(8+16*x^3+3*x^2)/(x-1)/(8*x+1)/(x^2+x+1) lgdogf] A021559 8.16367 [{a(n+4)-a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=8} ogf] A021564 8.53999 [(7+2*x+5*x^8-10*x^7+6*x^6+22*x^5-32*x^4+28*x^3-10*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^5-8*x^4+2*x^3-x^2-6*x-1) lgdogf] A021564 9.83257 [x^2*(5*x^5-8*x^4+2*x^3-x^2-6*x-1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021565 5.65320 [-x^2*(9*x^13+5*x^12+9*x^11+2*x^10+4*x^9+9*x^8+x^7+x^6+3*x^5+5*x^4+2*x^3+8*x^2+7*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021566 5.32683 [-x^2*(5*x^13+4*x^12-6*x^11+6*x^10-3*x^9-x^8-5*x^7+4*x^6+2*x^5-6*x^4+2*x^3+6*x+1)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021576 10.9065 [-(7-6*x+5*x^6-6*x^5+21*x^4-18*x^3+15*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3-3*x^2+6*x+1) lgdogf] A021576 11.8757 [-x^2*(5*x^3-3*x^2+6*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A021579 5.93927 [-x^2*(2*x^11+3*x^10+x^9-x^8+4*x^7-3*x^6+2*x^5-8*x^4+6*x^3-4*x^2+6*x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021580 13.2526 [x^2*(5*x^4-3*x^3+4*x^2-6*x-1)/(x-1) ogf] A021580 15.0873 [(7-8*x+15*x^4-26*x^3+13*x^2)/(x-1)/(5*x^4-3*x^3+4*x^2-6*x-1) lgdogf] A021584 5.34705 [-x^2*(5*x^14+x^12+3*x^11-x^10-2*x^9-6*x^8+2*x^7+4*x^6+2*x^5-3*x^4+2*x^3-5*x^2+6*x+1)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021588 9.33236 [-(7-12*x+7*x^8+2*x^7-19*x^6+16*x^5+6*x^4+2*x^3+9*x^2)/(x-1)/(5*x^5+2*x^4+x^3-6*x^2+6*x+1)/(x^4+1) lgdogf] A021588 9.83257 [-x^2*(5*x^5+2*x^4+x^3-6*x^2+6*x+1)/(x-1)/(x^4+1) ogf] A021589 11.8059 [-x^2*(4*x^4+9*x^3+7*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021589 9.42957 [-(7+8*x^9+27*x^8+35*x^6+6*x^5+16*x^3+27*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(4*x^4+9*x^3+7*x+1) lgdogf] A021594 3.85383 [(193812667873*f(x)+5032029177)*(189*f(x)*x^4-300*f(x)*x^3+130*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021594 9.36879 [-4*(-5+65*x-225*x^2+189*x^3)/(x-1)/(3*x-1)/(7*x-1)/(9*x-1) lgdogf] A021594 9.90984 [1/(x-1)/(3*x-1)/(7*x-1)/(9*x-1) ogf] A021596 12.0698 [(6+16*x+5*x^6+8*x^4-8*x^3+27*x^2)/(x-1)/(x^2+x+1)/(5*x^4-8*x^3-8*x^2-6*x-1) lgdogf] A021596 12.5264 [x^2*(5*x^4-8*x^3-8*x^2-6*x-1)/(x-1)/(x^2+x+1) ogf] A021598 11.5193 [-x^2*(5*x^4+3*x^3+8*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021598 8.01096 [-(6+16*x+10*x^9+9*x^8+32*x^7+30*x^6+6*x^5+20*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^4+3*x^3+8*x^2+6*x+1) lgdogf] A021604 3.60358 [(35010880699879051*f(x)+815945072544000)*(210*f(x)*x^4-331*f(x)*x^3+141*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021604 9.20999 [-3*(-7+94*x-331*x^2+280*x^3)/(x-1)/(3*x-1)/(7*x-1)/(10*x-1) lgdogf] A021604 9.90984 [1/(x-1)/(3*x-1)/(7*x-1)/(10*x-1) ogf] A021609 6.35991 [-x^2*(8*x^10-5*x^9+x^8+3*x^7-7*x^6+x^5+6*x^4-3*x^3-x^2+5*x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021610 13.1827 [-x^2*(5*x+1)/(x^2+1)/(x-1) ogf] A021610 22.6310 [-2*(3-x+5*x^3-x^2)/(x-1)/(5*x+1)/(1+x^2) lgdogf] A021610 6.18574 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A021610 7.51538 [-f(x)*(f(x)*x^3-f(x)*x^2+5*x^3+f(x)*x+x^2-f(x)) ogf] A021612 6.06431 [-x^2*(5*x^12-3*x^11+4*x^10-x^9-4*x^8+2*x^7+3*x^6-4*x^5+3*x^4-2*x^2+5*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021614 3.31155 [(16886146973176841*f(x)+356960980059453)*(231*f(x)*x^4-362*f(x)*x^3+152*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021614 8.17451 [-2*(-11+152*x+462*x^3-543*x^2)/(x-1)/(7*x-1)/(3*x-1)/(11*x-1) lgdogf] A021614 9.10675 [1/(x-1)/(7*x-1)/(3*x-1)/(11*x-1) ogf] A021616 5.50843 [-x^2*(5*x^15+7*x^14+5*x^13+4*x^12+x^10+8*x^9+2*x^8+9*x^7+6*x^6+8*x^5+9*x^4+3*x^3+3*x^2+6*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021619 10.6499 [-(6+4*x+12*x^7+6*x^6+24*x^5+5*x^4+18*x^2)/(x-1)/(6*x^3+2*x^2+6*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A021619 12.7250 [-x^2*(6*x^3+2*x^2+6*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021620 10.4050 [-(6-8*x+7*x^6-8*x^5+4*x^4+10*x^3+7*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^4+2*x^3-4*x^2+5*x+1) lgdogf] A021620 10.7580 [-x^2*(5*x^4+2*x^3-4*x^2+5*x+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021628 10.5260 [(6-24*x+5*x^6-20*x^5+46*x^4-64*x^3+54*x^2)/(x-1)/(x^2-x+1)/(5*x^4-13*x^3+10*x^2-4*x-1) lgdogf] A021628 9.66560 [x^2*(5*x^4-13*x^3+10*x^2-4*x-1)/(x-1)/(x^2-x+1) ogf] A021629 3.49873 [(56319698762003*f(x)+1089242171136)*(252*f(x)*x^4-393*f(x)*x^3+163*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021629 8.36029 [-(-23+326*x+1008*x^3-1179*x^2)/(x-1)/(7*x-1)/(3*x-1)/(12*x-1) lgdogf] A021629 9.30912 [1/(x-1)/(7*x-1)/(3*x-1)/(12*x-1) ogf] A021631 5.20047 [-x^2*(7*x^11+3*x^10-3*x^9+5*x^8-x^7-x^6+5*x^5-x^4-x^3+8*x^2+5*x+1)/(x-1)/(x+1)/(x^6+x^3+1)/(x^6-x^3+1) ogf] A021634 3.74967 [(19339252526561*f(x)+437604415488)*(216*f(x)*x^4-339*f(x)*x^3+143*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021634 9.05649 [-(-21+286*x-1017*x^2+864*x^3)/(x-1)/(3*x-1)/(9*x-1)/(-1+8*x) lgdogf] A021634 9.90984 [1/(x-1)/(3*x-1)/(9*x-1)/(8*x-1) ogf] A021636 6.16967 [-x^2*(5*x^13+2*x^12+x^11+x^9+8*x^8+4*x^7+8*x^6+7*x^5+2*x^4+2*x^3+8*x^2+5*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021640 6.74680 [-x^2*(5*x^12+2*x^11+4*x^9+4*x^8+7*x^6+2*x^5+3*x^4+2*x^3+7*x^2+5*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021644 3.72451 [(62029404477953*f(x)+1259791488000)*(240*f(x)*x^4-374*f(x)*x^3+155*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021644 8.76435 [-2*(-11+155*x-561*x^2+480*x^3)/(x-1)/(3*x-1)/(-1+8*x)/(10*x-1) lgdogf] A021644 9.90984 [1/(x-1)/(3*x-1)/(8*x-1)/(10*x-1) ogf] A021645 4.92730 [-x^2*(9*x^14-6*x^13-3*x^12+5*x^11+2*x^10+2*x^9-4*x^8+2*x^7-4*x^6+6*x^5-6*x^3+x^2+4*x+1)/(x-1)/(x^16+1) ogf] A021652 8.07367 [-x^2*(5*x^9+7*x^8+8*x^7+9*x^6+2*x^4+3*x^3+4*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A021654 10.9065 [-(5-4*x+6*x^6-4*x^5+14*x^4-16*x^3+17*x^2)/(x-1)/(x+1)/(x^2-x+1)/(6*x^3-2*x^2+4*x+1) lgdogf] A021654 11.8757 [-x^2*(6*x^3-2*x^2+4*x+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021660 7.41999 [(5+4*x+5*x^10+3*x^8+8*x^7+6*x^6-10*x^5+45*x^4+12*x^3+12*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^6-8*x^5-3*x^4-4*x^3-2*x^2-5*x-1) lgdogf] A021660 9.29351 [x^2*(5*x^6-8*x^5-3*x^4-4*x^3-2*x^2-5*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021661 10.2603 [-x^2*(7*x^5+2*x^3+2*x^2+5*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A021661 8.15530 [-(5+4*x+10*x^10+12*x^9+35*x^8+8*x^7+35*x^4+21*x^12+6*x^2)/(x-1)/(x+1)/(x^2+1)/(7*x^5+2*x^3+2*x^2+5*x+1)/(x^4+1) lgdogf] A021664 3.30542 [(168495209852197081*f(x)+3103775168440320)*(264*f(x)*x^4-409*f(x)*x^3+167*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021664 8.26740 [-(-23+334*x+1056*x^3-1227*x^2)/(x-1)/(3*x-1)/(11*x-1)/(8*x-1) lgdogf] A021664 9.20793 [1/(x-1)/(3*x-1)/(11*x-1)/(8*x-1) ogf] A021669 7.06645 [-x^2*(6*x^8-6*x^7+4*x^6-2*x^5+4*x^4+3*x^3-5*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021670 10.8082 [-f(x)*(f(x)*x^3+5*x^3+x^2-f(x)) ogf] A021670 15.6609 [-x^2*(5*x+1)/(x-1)/(x^2+x+1) ogf] A021670 22.0790 [-(5+10*x^3+3*x^2)/(x-1)/(5*x+1)/(x^2+x+1) lgdogf] A021670 8.16367 [{a(n+4)-a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=5} ogf] A021674 3.69724 [(8575060801*f(x)+144506880)*(288*f(x)*x^4-444*f(x)*x^3+179*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021674 8.36029 [-2*(-12+179*x+576*x^3-666*x^2)/(x-1)/(3*x-1)/(12*x-1)/(8*x-1) lgdogf] A021674 9.30912 [1/(x-1)/(3*x-1)/(12*x-1)/(8*x-1) ogf] A021676 8.58068 [x^2*(5*x^8+2*x^7-4*x^6-9*x^5-8*x^3-8*x^2-4*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021679 11.575 [-f(x)*(f(x)*x^3+8*x^4+4*x^3+x^2-f(x)) ogf] A021679 15.8814 [-(4+16*x+8*x^4+8*x^3+3*x^2)/(x-1)/(x^2+x+1)/(8*x^2+4*x+1) lgdogf] A021679 16.0426 [-x^2*(8*x^2+4*x+1)/(x-1)/(x^2+x+1) ogf] A021679 8.62669 [{-a(n+5)+a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=4,a(4)=8} ogf] A021684 3.42267 [(89657240807299*f(x)+1613105928000)*(270*f(x)*x^4-417*f(x)*x^3+169*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021684 8.17451 [-(-23+338*x+1080*x^3-1251*x^2)/(x-1)/(3*x-1)/(9*x-1)/(10*x-1) lgdogf] A021684 9.10675 [1/(x-1)/(3*x-1)/(9*x-1)/(10*x-1) ogf] A021689 11.1596 [-x^2*(4*x^3+x^2+3*x+1)/(x-1)/(x^4+1) ogf] A021689 11.7563 [-(4+2*x+8*x^7-x^6+10*x^5-4*x^4-12*x^3+11*x^2)/(x-1)/(4*x^3+x^2+3*x+1)/(x^4+1) lgdogf] A021694 3.52237 [(10810667864219*f(x)+176403915963)*(297*f(x)*x^4-456*f(x)*x^3+182*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021694 8.64369 [-4*(-6+91*x+297*x^3-342*x^2)/(x-1)/(9*x-1)/(3*x-1)/(11*x-1) lgdogf] A021694 9.30912 [1/(x-1)/(9*x-1)/(3*x-1)/(11*x-1) ogf] A021697 12.5801 [-x^2*(3*x+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021697 17.4084 [-(4+9*x^4-2*x^3-3*x^2)/(x-1)/(3*x+1)/(x+1)/(x^2-x+1) lgdogf] A021697 6.73145 [(54*f(x)-515)*(f(x)*x^4-f(x)*x^3+3*x^3+f(x)*x+x^2-f(x)) ogf] A021704 3.76413 [(5769018967*f(x)+86116608)*(324*f(x)*x^4-495*f(x)*x^3+195*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A021704 8.45318 [-(-25+390*x+1296*x^3-1485*x^2)/(x-1)/(3*x-1)/(12*x-1)/(9*x-1) lgdogf] A021704 9.41030 [1/(x-1)/(3*x-1)/(12*x-1)/(9*x-1) ogf] A021706 9.04201 [-x^2*(5*x^3-x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021706 9.73375 [-2*(x+1)*(5*x^6-9*x^5+16*x^4-16*x^3+12*x^2-4*x+2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^3-x^2+3*x+1) lgdogf] A021708 11.0395 [(-4-4*x+15*x^6+4*x^5-29*x^4-8*x^3+8*x^2)/(x-1)/(x+1)/(5*x^5+2*x^4-4*x^3+x^2+4*x+1) lgdogf] A021708 11.2325 [-x^2*(5*x^5+2*x^4-4*x^3+x^2+4*x+1)/(x-1)/(x+1) ogf] A021710 4.77998 [-x^2*(5*x^15-4*x^14+8*x^13-9*x^11+5*x^10-5*x^9+4*x^8+5*x^7-3*x^6-x^5-2*x^4+5*x^3-3*x^2+3*x+1)/(x-1)/(x^16+1) ogf] A021714 3.3385 [(781146743509660607*f(x)+11438708575536000)*(330*f(x)*x^4-503*f(x)*x^3+197*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A021714 8.13986 [-(-25+394*x+1320*x^3-1509*x^2)/(x-1)/(3*x-1)/(-1+10*x)/(11*x-1) lgdogf] A021714 9.35971 [1/(x-1)/(3*x-1)/(10*x-1)/(11*x-1) ogf] A021715 7.23306 [-x^2*(9*x^10+6*x^8+7*x^7+9*x^6+6*x^5+4*x^4+6*x^3+4*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021719 12.1871 [-x^2*(6*x^2+2*x+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021719 15.6076 [-3*(1+4*x+4*x^5-3*x^2)/(x-1)/(x+1)/(x^2-x+1)/(6*x^2+2*x+1) lgdogf] A021719 6.67386 [(251752*f(x)-215)*(f(x)*x^4-f(x)*x^3+6*x^4+2*x^3+f(x)*x+x^2-f(x)) ogf] A021721 10.8269 [-x^2*(7*x^4+4*x^3+9*x^2+3*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021721 7.80378 [-(3+18*x+21*x^10+16*x^9+45*x^8+18*x^7+7*x^6+28*x^3+12*x^2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(7*x^4+4*x^3+9*x^2+3*x+1) lgdogf] A021724 3.71859 [(391425113467*f(x)+5243328000)*(360*f(x)*x^4-546*f(x)*x^3+211*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A021724 9.56209 [1/(x-1)/(3*x-1)/(12*x-1)/(10*x-1) ogf] A021729 5.34705 [-x^2*(4*x^14-2*x^13+5*x^12-6*x^11+4*x^10+x^8+3*x^7-x^6-2*x^5-6*x^4+2*x^3+4*x^2+2*x+1)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A021732 10.1712 [-(3+8*x+2*x^6+8*x^5-13*x^4+26*x^3-16*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^4-3*x^3+4*x^2+2*x+1) lgdogf] A021732 10.7580 [-x^2*(5*x^4-3*x^3+4*x^2+2*x+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021734 3.11916 [(1256576363826367*f(x)+15264393889536)*(396*f(x)*x^4-597*f(x)*x^3+227*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A021734 7.46811 [-(-27+454*x+1584*x^3-1791*x^2)/(x-1)/(3*x-1)/(12*x-1)/(11*x-1) lgdogf] A021734 8.46630 [1/(x-1)/(3*x-1)/(12*x-1)/(11*x-1) ogf] A021742 10.4050 [-(3+10*x+10*x^7+15*x^6+12*x^5+5*x^4+15*x^2)/(x-1)/(5*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A021742 12.7250 [-x^2*(5*x^3+5*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021744 3.75113 [(5598060693973*f(x)+232670016000)*(120*f(x)*x^4-194*f(x)*x^3+89*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A021744 9.08285 [-2*(-8+89*x+240*x^3-291*x^2)/(x-1)/(6*x-1)/(-1+4*x)/(5*x-1) lgdogf] A021744 9.95756 [1/(x-1)/(6*x-1)/(4*x-1)/(5*x-1) ogf] A021752 5.37899 [-x^2*(5*x^15+2*x^14+9*x^13+x^12+2*x^11+7*x^10+5*x^9+9*x^8+3*x^7+8*x^6+9*x^5+8*x^4+6*x^3+3*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021754 11.5184 [-(-17+198*x-669*x^2+560*x^3)/(-1+x)/(-1+4*x)/(7*x-1)/(5*x-1) lgdogf] A021754 12.7870 [1/(x-1)/(4*x-1)/(7*x-1)/(5*x-1) ogf] A021754 4.65751 [(2049503327984167*f(x)+72661087072000)*(140*f(x)*x^4-223*f(x)*x^3+99*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A021760 9.14382 [-(3-2*x+5*x^8+4*x^7-7*x^6+18*x^5-14*x^4+16*x^3+7*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^4+2*x^3+2*x+1) lgdogf] A021760 9.83257 [-x^2*(5*x^4+2*x^3+2*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021764 10.5684 [1/(x-1)/(4*x-1)/(8*x-1)/(5*x-1) ogf] A021764 4.13869 [(34672047883*f(x)+1071232000)*(160*f(x)*x^4-252*f(x)*x^3+109*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021764 9.83144 [-2*(-9+109*x+320*x^3-378*x^2)/(x-1)/(4*x-1)/(8*x-1)/(5*x-1) lgdogf] A021769 5.61625 [-x^2*(6*x^14+6*x^13+3*x^12+8*x^11+4*x^10+2*x^9+4*x^8+5*x^7+9*x^6+8*x^5+x^4+7*x^3+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021772 3.59395 [(1043470977364531*f(x)+28560493728000)*(180*f(x)*x^4-281*f(x)*x^3+119*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021772 9.75500 [1/(x-1)/(4*x-1)/(9*x-1)/(5*x-1) ogf] A021774 4.05074 [(43094293*f(x)+1058560)*(200*f(x)*x^4-310*f(x)*x^3+129*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021774 8.76435 [-2*(-10+129*x-465*x^2+400*x^3)/(x-1)/(-1+4*x)/(5*x-1)/(10*x-1) lgdogf] A021774 9.90984 [1/(x-1)/(4*x-1)/(5*x-1)/(10*x-1) ogf] A021781 11.4587 [-(2+12*x+21*x^6-10*x^5+9*x^4-2*x^3-5*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(7*x^2+x+1) lgdogf] A021781 9.02806 [-x^2*(7*x^2+x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021784 3.25636 [(15242164188218753*f(x)+339550366496000)*(220*f(x)*x^4-339*f(x)*x^3+139*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021784 8.16909 [-(-21+278*x+880*x^3-1017*x^2)/(x-1)/(5*x-1)/(4*x-1)/(11*x-1) lgdogf] A021784 8.95496 [1/(x-1)/(5*x-1)/(4*x-1)/(11*x-1) ogf] A021794 3.57571 [(636172466191*f(x)+12964266000)*(240*f(x)*x^4-368*f(x)*x^3+149*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021794 8.17975 [-2*(-11+149*x+480*x^3-552*x^2)/(x-1)/(5*x-1)/(-1+12*x)/(4*x-1) lgdogf] A021794 9.25852 [1/(x-1)/(5*x-1)/(12*x-1)/(4*x-1) ogf] A021796 10.0487 [-(3255*f(x)+82)*(5*x^4+f(x)*x^2+2*x^3+x^2-f(x)) ogf] A021796 16.0426 [-x^2*(5*x^2+2*x+1)/(x-1)/(x+1) ogf] A021796 22.6310 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+1) lgdogf] A021796 8.62669 [{-a(n+5)+a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=6} ogf] A021799 6.58405 [-x^2*(2*x^11+2*x^10+5*x^9+3*x^8+6*x^7+x^6+6*x^5+8*x^4+7*x^3+5*x^2+2*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021802 5.59127 [-x^2*(5*x^16+2*x^13+8*x^11+2*x^9+3*x^8+8*x^7+2*x^6+3*x^5+x^4+3*x^3+5*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021804 10.3055 [1/(x-1)/(6*x-1)/(4*x-1)/(7*x-1) ogf] A021804 3.87322 [(55079576199527*f(x)+1616612014080)*(168*f(x)*x^4-262*f(x)*x^3+111*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A021804 9.58191 [-6*(-3+37*x-131*x^2+112*x^3)/(x-1)/(6*x-1)/(-1+4*x)/(7*x-1) lgdogf] A021807 10.5260 [-(2+8*x+9*x^8+12*x^7+7*x^6-9*x^4-4*x^3+11*x^2)/(x-1)/(x+1)/(3*x^3+3*x^2+2*x+1)/(x^4+1) lgdogf] A021807 9.92773 [-x^2*(3*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+1) ogf] A021812 11.8757 [-x^2*(5*x^3+2*x^2+x+1)/(x^2+1)/(x-1) ogf] A021812 15.3430 [-(2+2*x+7*x^4-8*x^3+15*x^2)/(x-1)/(x^2+1)/(5*x^3+2*x^2+x+1) lgdogf] A021814 3.79877 [(1198022287*f(x)+30633984)*(192*f(x)*x^4-296*f(x)*x^3+122*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A021814 8.81808 [-(-19+244*x+768*x^3-888*x^2)/(x-1)/(6*x-1)/(-1+4*x)/(8*x-1) lgdogf] A021814 9.49693 [1/(x-1)/(6*x-1)/(4*x-1)/(8*x-1) ogf] A021817 12.9792 [-x^2*(3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021817 14.1444 [-(2+6*x+9*x^6+8*x^5+5*x^4)/(x-1)/(3*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A021817 7.87036 [-(8995*f(x)+20266)*(f(x)*x^5+3*x^4+2*x^3+x^2-f(x)) ogf] A021818 11.5193 [-x^2*(5*x^4+8*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021818 8.01096 [-2*(1+2*x+5*x^9+12*x^8+4*x^7+5*x^6+3*x^5+10*x^3+12*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^4+8*x^3+2*x^2+2*x+1) lgdogf] A021820 5.02507 [-x^2*(5*x^17+2*x^16+x^15+3*x^14+4*x^13+8*x^12+7*x^11+6*x^9+9*x^8+x^7+9*x^5+4*x^4+5*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021823 18.7167 [-x^2/(x-1)/(x^2-x+1) ogf] A021823 23.2027 [x^5-x^2-x+2 ogf_with_Euler_transform] A021823 30.1746 [-(2-4*x+3*x^2)/(x-1)/(x^2-x+1) lgdogf] A021823 6.97623 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A021823 9.47389 [f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A021824 3.93583 [(5641888747*f(x)+127775232)*(216*f(x)*x^4-330*f(x)*x^3+133*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021824 8.90803 [-2*(-10+133*x-495*x^2+432*x^3)/(x-1)/(6*x-1)/(-1+4*x)/(9*x-1) lgdogf] A021824 9.90984 [1/(x-1)/(6*x-1)/(4*x-1)/(9*x-1) ogf] A021826 11.1596 [-x^2*(5*x^3-x^2+x+1)/(x-1)/(x^4+1) ogf] A021826 12.5728 [-2*(1-x+5*x^7-4*x^6+3*x^5+x^4-7*x^3+8*x^2)/(x-1)/(5*x^3-x^2+x+1)/(x^4+1) lgdogf] A021829 3.82725 [(710909314753*f(x)+14446728000)*(240*f(x)*x^4-364*f(x)*x^3+144*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021829 9.05649 [-3*(-7+96*x-364*x^2+320*x^3)/(x-1)/(6*x-1)/(-1+4*x)/(10*x-1) lgdogf] A021829 9.90984 [1/(x-1)/(6*x-1)/(4*x-1)/(10*x-1) ogf] A021834 3.33648 [(1228873823472835*f(x)+22644454542336)*(264*f(x)*x^4-398*f(x)*x^3+155*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021834 8.12806 [-2*(-11+155*x+528*x^3-597*x^2)/(x-1)/(6*x-1)/(4*x-1)/(11*x-1) lgdogf] A021834 9.05616 [1/(x-1)/(6*x-1)/(4*x-1)/(11*x-1) ogf] A021836 7.71474 [-x^2*(5*x^7+2*x^6-9*x^5+9*x^4+2*x^3-2*x^2+x+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021840 7.95940 [-x^2*(5*x^9+2*x^8-5*x^6+6*x^5-5*x^4-3*x^3+8*x^2+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021841 6.20684 [-x^2*(7*x^12+2*x^11+2*x^10+3*x^8+x^7+3*x^6+4*x^5+7*x^4+4*x^3+9*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021844 3.86924 [(1158141*f(x)+19520)*(288*f(x)*x^4-432*f(x)*x^3+166*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021844 8.04991 [-(-23+332*x+1152*x^3-1296*x^2)/(x-1)/(-1+6*x)/(-1+12*x)/(4*x-1) lgdogf] A021844 9.25852 [1/(x-1)/(6*x-1)/(12*x-1)/(4*x-1) ogf] A021854 3.70765 [(614045954357*f(x)+13381587968)*(224*f(x)*x^4-340*f(x)*x^3+135*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A021854 8.48463 [-2*(-10+135*x+448*x^3-510*x^2)/(x-1)/(8*x-1)/(-1+7*x)/(-1+4*x) lgdogf] A021854 9.60016 [1/(x-1)/(8*x-1)/(7*x-1)/(4*x-1) ogf] A021862 13.7157 [-(1+10*x+10*x^5-5*x^4+4*x^3-8*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^2+1) lgdogf] A021862 13.7854 [-x^2*(5*x^2+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021862 7.12633 [-(285*f(x)+22)*(f(x)*x^4-f(x)*x^3+5*x^4+f(x)*x+x^2-f(x)) ogf] A021863 6.76991 [-x^2*(x^11+5*x^10-2*x^9+2*x^8-x^7+3*x^5-3*x^4-2*x^3+5*x^2+1)/(x-1)/(x+1)/(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021864 3.55738 [(112933011954940507*f(x)+2179431544114944)*(252*f(x)*x^4-379*f(x)*x^3+147*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A021864 9.20999 [-3*(-7+98*x-379*x^2+336*x^3)/(x-1)/(-1+4*x)/(9*x-1)/(7*x-1) lgdogf] A021864 9.90984 [1/(x-1)/(4*x-1)/(9*x-1)/(7*x-1) ogf] A021868 10.2868 [(1+10*x+10*x^7-3*x^6-20*x^4+14*x^3+21*x^2)/(x-1)/(x^2+x+1)/(5*x^5-3*x^4-6*x^3-5*x^2-x-1) lgdogf] A021868 9.53062 [x^2*(5*x^5-3*x^4-6*x^3-5*x^2-x-1)/(x-1)/(x^2+x+1) ogf] A021874 3.74967 [(55208464383853*f(x)+955888864000)*(280*f(x)*x^4-418*f(x)*x^3+159*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021874 8.76435 [-2*(-11+159*x-627*x^2+560*x^3)/(x-1)/(-1+4*x)/(7*x-1)/(10*x-1) lgdogf] A021874 9.90984 [1/(x-1)/(4*x-1)/(7*x-1)/(10*x-1) ogf] A021879 11.0395 [-(1+6*x+5*x^6+6*x^5-21*x^4+30*x^3-9*x^2)/(x-1)/(x+1)/(x^2-x+1)/(6*x^4-x^3+3*x^2+1) lgdogf] A021879 11.8757 [-x^2*(6*x^4-x^3+3*x^2+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021880 10.0582 [-(1+6*x+5*x^8-6*x^7+12*x^6-6*x^5-10*x^4+22*x^3-12*x^2)/(x-1)/(5*x^4-3*x^3+3*x^2+1)/(x^4+1) lgdogf] A021880 11.8757 [-x^2*(5*x^4-3*x^3+3*x^2+1)/(x-1)/(x^4+1) ogf] A021884 3.28725 [(449898432252424801*f(x)+7062720658174720)*(308*f(x)*x^4-457*f(x)*x^3+171*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021884 9.15734 [1/(x-1)/(7*x-1)/(4*x-1)/(11*x-1) ogf] A021892 14.0681 [-x^2*(5*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1) ogf] A021892 14.8400 [-(1+4*x+2*x^4+2*x^3+18*x^2)/(x-1)/(x^2+x+1)/(5*x^3+2*x^2+x+1) lgdogf] A021894 3.57062 [(3129615961597*f(x)+44934149736)*(336*f(x)*x^4-496*f(x)*x^3+183*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021894 8.49963 [-6*(-4+61*x+224*x^3-248*x^2)/(x-1)/(7*x-1)/(12*x-1)/(-1+4*x) lgdogf] A021894 9.30912 [1/(x-1)/(7*x-1)/(12*x-1)/(4*x-1) ogf] A021900 8.91994 [-x^2*(5*x^8-3*x^7-x^6+7*x^5-6*x^4+6*x^3+1)/(x^2-x+1)/(x-1)/(x+1) ogf] A021902 5.61303 [-x^2*(5*x^15+2*x^13+2*x^12-x^11-5*x^10+2*x^9-3*x^8+2*x^7-3*x^6+3*x^5+2*x^4+2*x^3+1)/(x-1)/(x^16+1) ogf] A021904 3.74967 [(17194606386551*f(x)+288957404160)*(288*f(x)*x^4-428*f(x)*x^3+161*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A021904 8.76435 [-2*(-11+161*x-642*x^2+576*x^3)/(x-1)/(-1+4*x)/(9*x-1)/(-1+8*x) lgdogf] A021904 9.90984 [1/(x-1)/(4*x-1)/(9*x-1)/(8*x-1) ogf] A021906 8.35477 [-x^2*(5*x^8+4*x^7+7*x^6+4*x^5+6*x^4+8*x^3+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A021913 16.9235 [-x^2/(x^2+1)/(x-1) ogf] A021913 23.8734 [[x^3-x+1] ogf_with_Euler_transform] A021913 31.2151 [-(-2*x+1+3*x^2)/(x-1)/(1+x^2) lgdogf] A021913 6.30785 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A021913 6.73653 [(f(x)-1)*(f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)) ogf] A021914 3.85383 [(277389998039*f(x)+4181888000)*(320*f(x)*x^4-472*f(x)*x^3+174*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A021914 8.62523 [-(-23+348*x-1416*x^2+1280*x^3)/(x-1)/(-1+4*x)/(-1+8*x)/(10*x-1) lgdogf] A021914 9.90984 [1/(x-1)/(4*x-1)/(8*x-1)/(10*x-1) ogf] A021924 3.50323 [(22833070333279*f(x)+312082828288)*(352*f(x)*x^4-516*f(x)*x^3+187*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021924 8.31385 [-2*(-12+187*x+704*x^3-774*x^2)/(x-1)/(4*x-1)/(11*x-1)/(8*x-1) lgdogf] A021924 9.25852 [1/(x-1)/(4*x-1)/(11*x-1)/(8*x-1) ogf] A021928 11.5193 [-x^2*(5*x^5+2*x^4+2*x^3+8*x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A021928 7.87164 [-x*(16+5*x^9+4*x^8+6*x^7+32*x^6+6*x^4+25*x^3+8*x^2+6*x)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^5+2*x^4+2*x^3+8*x^2+1) lgdogf] A021929 15.6609 [-x^2*(8*x^2+1)/(x-1)/(x^2+x+1) ogf] A021929 21.0521 [-x*(16+8*x^3+3*x)/(x-1)/(x^2+x+1)/(8*x^2+1) lgdogf] A021929 7.30843 [{a(n+5)-a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=0,a(4)=8} ogf] A021929 9.13554 [-(2049*f(x)+128)*(f(x)*x^3+8*x^4+x^2-f(x)) ogf] A021934 6.12683 [-x^2*(3*x^13+4*x^12+2*x^10+7*x^9+x^8+8*x^7+8*x^6+6*x^5+2*x^4+5*x^3+7*x^2+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A021939 5.61625 [-x^2*(4*x^14+5*x^13+7*x^12+7*x^11+5*x^10+6*x^9+x^8+7*x^7+8*x^6+x^5+5*x^4+9*x^3+6*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A021940 7.71474 [-x^2*(5*x^5+2*x^4+x^3+7*x^2-x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021940 9.63020 [-x*(12+7*x^7-8*x^6+33*x^5-34*x^4+35*x^3)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^5+2*x^4+x^3+7*x^2-x+1) lgdogf] A021944 3.79815 [(304959407*f(x)+3811968)*(384*f(x)*x^4-560*f(x)*x^3+200*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A021944 8.27115 [-(-25+400*x+1536*x^3-1680*x^2)/(x-1)/(8*x-1)/(12*x-1)/(-1+4*x) lgdogf] A021944 9.35971 [1/(x-1)/(8*x-1)/(12*x-1)/(4*x-1) ogf] A021949 10.5260 [-2*x*(5+2*x^6+8*x^5-8*x^4+8*x^3-5*x^2+2*x)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^3+6*x^2-x+1) lgdogf] A021949 8.25145 [-x^2*(2*x^3+6*x^2-x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021952 6.71033 [-x^2*(5*x^12+7*x^11+6*x^10+2*x^8+3*x^7+2*x^6+5*x^5+8*x^4+4*x^3+5*x^2+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021954 3.34834 [(10203294402400187*f(x)+136181888928000)*(360*f(x)*x^4-526*f(x)*x^3+189*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A021954 8.84757 [-6*(5*x-1)*(48*x^2-43*x+4)/(x-1)/(4*x-1)/(9*x-1)/(10*x-1) lgdogf] A021954 9.20793 [1/(x-1)/(4*x-1)/(9*x-1)/(10*x-1) ogf] A021958 6.89268 [-x^2*(5*x^11+3*x^10+9*x^9+2*x^8+8*x^6+x^5+2*x^4+8*x^3+4*x^2+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021960 10.7639 [-x^2*(5*x^6+2*x^5+6*x^3+4*x^2+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A021960 7.60705 [-x*(8+5*x^11+4*x^10+24*x^8+20*x^7+7*x^5+30*x^4+10*x^3+18*x)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(5*x^6+2*x^5+6*x^3+4*x^2+1) lgdogf] A021964 3.34174 [(100784818156910495*f(x)+1219477247923968)*(396*f(x)*x^4-575*f(x)*x^3+203*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A021964 8.22545 [-(-25+406*x+1584*x^3-1725*x^2)/(x-1)/(9*x-1)/(-1+4*x)/(11*x-1) lgdogf] A021964 9.30912 [1/(x-1)/(9*x-1)/(4*x-1)/(11*x-1) ogf] A021966 10.2868 [-x*(x+2)*(10*x^5-13*x^4+14*x^3-11*x^2+6*x+3)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^3+4*x^2-x+1) lgdogf] A021966 8.25145 [-x^2*(5*x^3+4*x^2-x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A021972 5.86809 [-x^2*(5*x^12+2*x^11+x^10-4*x^9-3*x^8+x^7+2*x^6+5*x^5-3*x^4+3*x^2-x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A021974 3.76413 [(1232961251*f(x)+13642992)*(432*f(x)*x^4-624*f(x)*x^3+217*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A021974 8.31684 [-2*(-13+217*x+864*x^3-936*x^2)/(x-1)/(9*x-1)/(12*x-1)/(-1+4*x) lgdogf] A021974 9.41030 [1/(x-1)/(9*x-1)/(12*x-1)/(4*x-1) ogf] A021979 12.1871 [-x^2*(4*x^2-2*x+1)/(x-1)/(x^2-x+1) ogf] A021979 18.1048 [-x*(4+4*x^3-4*x^2-x)/(x-1)/(x^2-x+1)/(4*x^2-2*x+1) lgdogf] A021979 5.96388 [{a(n+5)-2*a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=0,a(4)=2} ogf] A021979 7.31223 [-f(x)*(f(x)*x^3+4*x^4-2*f(x)*x^2-2*x^3+2*f(x)*x+x^2-f(x)) ogf] A021984 3.40354 [(40647467402737793*f(x)+441142764128000)*(440*f(x)*x^4-634*f(x)*x^3+219*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A021984 8.01267 [-2*(-13+219*x+880*x^3-951*x^2)/(x-1)/(-1+10*x)/(-1+4*x)/(11*x-1) lgdogf] A021984 9.35971 [1/(x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A021988 11.2675 [-x^2*(5*x^5+2*x^4+6*x^3+x^2+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A021988 9.73375 [-x*(2+30*x^3+8*x^2+2*x^7+12*x^6+3*x^5+18*x)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^5+2*x^4+6*x^3+x^2+1) lgdogf] A021992 6.92858 [-x^2*(5*x^9-3*x^8+2*x^7+x^6+3*x^5-x^4+x^3+x^2-x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A021994 3.66765 [(2262037952833*f(x)+22449744000)*(480*f(x)*x^4-688*f(x)*x^3+234*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A021994 9.56209 [1/(x-1)/(12*x-1)/(10*x-1)/(4*x-1) ogf] A022000 3.24735 [(8727995628778*f(x)+78519649725)*(528*f(x)*x^4-752*f(x)*x^3+251*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A022000 7.23473 [-2*(-14+251*x+1056*x^3-1128*x^2)/(x-1)/(12*x-1)/(4*x-1)/(11*x-1) lgdogf] A022000 8.46630 [1/(x-1)/(12*x-1)/(4*x-1)/(11*x-1) ogf] A022003 21.3911 [-x^2/(x-1)/(x^2+x+1) ogf] A022003 36.4101 [[x^2] ogf_with_Euler_transform] A022003 41.1472 [-3*x^2/(x-1)/(x^2+x+1) lgdogf] A022003 8.38299 [{a(n+3)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A022003 9.84669 [-f(x)*(f(x)*x^3+x^2-f(x)) ogf] A022015 4.09566 [-(22*f(x)-7)*(3*f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+2*x+2) ogf] A022015 6.93745 [-(6+14*x+28*x^3+19*x^2+17*x^4+6*x^5+3*x^6)/(x+1)/(x^2+2)/(3*x^4+2*x^3+3*x^2+2*x-1) lgdogf] A022015 7.55303 [-(x+1)*(x^2+2)/(3*x^4+2*x^3+3*x^2+2*x-1) ogf] A022018 12.0338 [-2*(8+x-8*x^2+2*x^4)/(x^2-2)/(4*x^3-x^2-8*x+1) lgdogf] A022018 12.3383 [-(x^2-2)/(4*x^3-x^2-8*x+1) ogf] A022018 6.11551 [{a(n+3)-8*a(n+2)-a(n+1)+4*a(n),a(0)=2,a(1)=16,a(2)=129} ogf] A022018 6.16916 [-(65*f(x)+127)*(4*f(x)*x^3-f(x)*x^2-8*f(x)*x+x^2+f(x)-2) ogf] A022019 4.20669 [{a(n+3)-16*a(n+2)-a(n+1)+8*a(n),a(0)=2,a(1)=32,a(2)=513} ogf] A022019 4.35693 [(257*f(x)+511)*(8*f(x)*x^3-f(x)*x^2-16*f(x)*x+x^2+f(x)-2) ogf] A022019 8.41338 [-(x^2-2)/(8*x^3-x^2-16*x+1) ogf] A022019 9.73236 [-2*(16+x+4*x^4-16*x^2)/(x^2-2)/(8*x^3-x^2-16*x+1) lgdogf] A022021 11.3338 [-(20+2*x-29*x^2+12*x^4)/(4*x^2-5)/(3*x^3-x^2-4*x+1) lgdogf] A022021 13.5532 [-(4*x^2-5)/(3*x^3-x^2-4*x+1) ogf] A022021 6.77659 [{-a(n+3)+4*a(n+2)+a(n+1)-3*a(n),a(0)=5,a(1)=20,a(2)=81} ogf] A022021 6.83655 [(2714*f(x)-2531)*(3*f(x)*x^3-f(x)*x^2-4*f(x)*x+4*x^2+f(x)-5) ogf] A022022 10.5413 [-(45+2*x-69*x^2+28*x^4)/(4*x^2-5)/(7*x^3-x^2-9*x+1) lgdogf] A022022 13.3532 [-(4*x^2-5)/(7*x^3-x^2-9*x+1) ogf] A022022 6.61852 [{-a(n+3)+9*a(n+2)+a(n+1)-7*a(n),a(0)=5,a(1)=45,a(2)=406} ogf] A022022 6.61853 [(30089*f(x)-13781)*(7*f(x)*x^3-f(x)*x^2-9*f(x)*x+4*x^2+f(x)-5) ogf] A022023 10.4557 [-(30+2*x-47*x^2+20*x^4)/(5*x^2-6)/(4*x^3-x^2-5*x+1) lgdogf] A022023 12.8170 [-(5*x^2-6)/(4*x^3-x^2-5*x+1) ogf] A022023 6.35277 [{-a(n+3)+5*a(n+2)+a(n+1)-4*a(n),a(0)=6,a(1)=30,a(2)=151} ogf] A022023 6.46522 [(8087*f(x)-7603)*(4*f(x)*x^3-f(x)*x^2-5*f(x)*x+5*x^2+f(x)-6) ogf] A022024 12.7577 [-(5*x^2-6)/(9*x^3-x^2-11*x+1) ogf] A022024 6.37884 [(82931*f(x)-38491)*(9*f(x)*x^3-f(x)*x^2-11*f(x)*x+5*x^2+f(x)-6) ogf] A022024 6.37884 [{-a(n+3)+11*a(n+2)+a(n+1)-9*a(n),a(0)=6,a(1)=66,a(2)=727} ogf] A022024 8.42240 [-(66+2*x+45*x^4-107*x^2)/(9*x^3-x^2-11*x+1)/(5*x^2-6) lgdogf] A022025 11.4145 [-(5*x^2-6)/(14*x^3-x^2-17*x+1) ogf] A022025 5.65929 [{-a(n+3)+17*a(n+2)+a(n+1)-14*a(n),a(0)=6,a(1)=102,a(2)=1735} ogf] A022025 5.70726 [(302279*f(x)-93139)*(14*f(x)*x^3-f(x)*x^2-17*f(x)*x+5*x^2+f(x)-6) ogf] A022025 9.27557 [-(102+2*x+70*x^4-167*x^2)/(14*x^3-x^2-17*x+1)/(5*x^2-6) lgdogf] A022026 15.2226 [-(x-2)/(4*x^2-8*x+1) ogf] A022026 16.4107 [-(-1-4*x+((1+3*x)*(1+4*x))^(1/2))/(1+4*x) revogf] A022026 18.6900 [-(2*x-3)*(2*x-5)/(x-2)/(4*x^2-8*x+1) lgdogf] A022026 7.78429 [(104*f(x)+17)*(4*f(x)*x^2-8*f(x)*x+f(x)+x-2) ogf] A022026 8.25322 [{-a(n+2)+8*a(n+1)-4*a(n),a(0)=2,a(1)=15} ogf] A022027 13.1098 [-2*(8-x-8*x^2+2*x^4)/(x^2-2)/(4*x^3-8*x+1) lgdogf] A022027 15.8337 [-(x^2-2)/(4*x^3-8*x+1) ogf] A022027 7.99846 [{a(n+3)-8*a(n+2)+4*a(n),a(0)=2,a(1)=16,a(2)=127} ogf] A022027 8.34249 [(192*f(x)-127)*(4*f(x)*x^3-8*f(x)*x+x^2+f(x)-2) ogf] A022028 10.5975 [-2*(16-x+4*x^4-16*x^2)/(x^2-2)/(8*x^3-16*x+1) lgdogf] A022028 14.2511 [-(x^2-2)/(8*x^3-16*x+1) ogf] A022028 6.44440 [2/3*3^(1/2)*2^(1/2)*sin(1/3*arctan(3*x*3^(1/2)/(2021*x^2+512*x+32)^(1/2))) revogf] A022028 7.27096 [-(768*f(x)-511)*(8*f(x)*x^3-16*f(x)*x+x^2+f(x)-2) ogf] A022028 7.27096 [{a(n+3)-16*a(n+2)+8*a(n),a(0)=2,a(1)=32,a(2)=511} ogf] A022029 7.37044 [-(x^4+x^2-x-4)/(x^5+x^3-x^2-3*x+1) ogf] A022030 12.5312 [-(x^3-x^2+4)/(x^4-x^3+4*x-1) ogf] A022030 6.7877 [-(5*f(x)+12)*(f(x)*x^4-f(x)*x^3+x^3+4*f(x)*x-x^2-f(x)+4) ogf] A022030 8.92967 [-(16-2*x+x^6-2*x^5+8*x^3+x^4-5*x^2)/(x^3-x^2+4)/(x^4-x^3+4*x-1) lgdogf] A022031 7.14650 [-(x^6+x^5+x^4+x^3-x-4)/(x-1)/(x^6+2*x^5+3*x^4+4*x^3+4*x^2+3*x-1) ogf] A022032 7.34742 [-(x^6+x^5+x^4+x^3-x-5)/(x^7+x^6+x^5+x^4-x^2-5*x+1) ogf] A022033 10.4107 [1/(x-1)/(6*x-1)/(7*x-1)/(5*x-1) ogf] A022033 3.78571 [(31518234836078573*f(x)+733178107872000)*(210*f(x)*x^4-317*f(x)*x^3+125*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A022033 9.84864 [-(-19+250*x-951*x^2+840*x^3)/(x-1)/(6*x-1)/(7*x-1)/(5*x-1) lgdogf] A022034 6.74039 [-(31+10*x+2*x^6-2*x^5-6*x^3+x^8-14*x^4-12*x^2)/(x^4+x^2-x-6)/(x^5+x^3-x^2-5*x+1) lgdogf] A022035 6.66417 [-(x^6+x^5+x^4+x^3-x-6)/(x^7+x^6+x^5+x^4-x^2-6*x+1) ogf] A022037 6.45215 [-(x^6+x^5+x^4+x^3-x-7)/(x^7+x^6+x^5+x^4-x^2-7*x+1) ogf] A022038 9.17310 [-(x^4+x^2-x-8)/(x^5+x^3-x^2-7*x+1) ogf] A022039 6.12888 [-(x^6+x^5+x^4+x^3-x-8)/(x^7+x^6+x^5+x^4-x^2-8*x+1) ogf] A022040 5.06240 [{a(n+4)-3*a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=16,a(1)=36,a(2)=80,a(3)=177} ogf] A022040 5.27782 [(17*f(x)-47)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+7*x^3-3*f(x)*x-4*x^2+f(x)+12*x-16) ogf] A022040 7.66382 [-(36-56*x+39*x^2-46*x^3+26*x^4-8*x^5+7*x^6)/(x-1)/(x^3+2*x-1)/(7*x^3-4*x^2+12*x-16) lgdogf] A022040 9.41991 [-(7*x^3-4*x^2+12*x-16)/(x-1)/(x^3+2*x-1) ogf] A022041 5.87147 [-(x^10+x^6+x^2-2)/(x^11-x^10+x^7-x^6+x^3-x^2-3*x+1) ogf] A022065 99.9999 Evaluated at exp(-Pi) 9/8*Pi^3/GAMMA(3/4)^12 A022086 13.7228 [f(x)*x^2+f(x)*x-f(x)+3*x ogf] A022086 21.8824 [-3*x/(x^2+x-1) ogf] A022086 24.9580 [1/2/x*(-3-x+(9+6*x+5*x^2)^(1/2)) revogf] A022086 44.3698 [-(1+2*x)/(x^2-1+x) lgdogf] A022086 9.99564 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A022087 13.2556 [f(x)*x^2+f(x)*x-f(x)+4*x ogf] A022087 21.1374 [-4*x/(x^2+x-1) ogf] A022087 23.3688 [1/2/x*(-4-x+(16+8*x+5*x^2)^(1/2)) revogf] A022087 42.8427 [-(1+2*x)/(x^2-1+x) lgdogf] A022087 9.65533 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A022088 13.5639 [f(x)*x^2+f(x)*x-f(x)+5*x ogf] A022088 20.7726 [1/2*(-5-x+(5+2*x+x^2)^(1/2)*5^(1/2))/x revogf] A022088 21.6289 [-5*x/(x^2+x-1) ogf] A022088 43.8532 [-(1+2*x)/(x^2-1+x) lgdogf] A022088 9.87988 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A022089 13.6872 [f(x)*x^2+f(x)*x-f(x)+6*x ogf] A022089 21.8255 [-6*x/(x^2+x-1) ogf] A022089 23.4304 [1/2/x*(-6-x+(36+12*x+5*x^2)^(1/2)) revogf] A022089 44.2573 [-(1+2*x)/(x^2-1+x) lgdogf] A022089 9.96969 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A022090 13.1584 [f(x)*x^2+f(x)*x-f(x)+7*x ogf] A022090 20.9824 [-7*x/(x^2+x-1) ogf] A022090 22.5151 [1/2/x*(-7-x+(49+14*x+5*x^2)^(1/2)) revogf] A022090 42.5286 [-(1+2*x)/(x^2-1+x) lgdogf] A022090 9.58454 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=7} ogf] A022091 13.2808 [f(x)*x^2+f(x)*x-f(x)+8*x ogf] A022091 21.1776 [-8*x/(x^2+x-1) ogf] A022091 22.7276 [1/2/x*(-8-x+(64+16*x+5*x^2)^(1/2)) revogf] A022091 42.9298 [-(1+2*x)/(x^2+x-1) lgdogf] A022091 9.67370 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A022092 13.342 [f(x)*x^2+f(x)*x-f(x)+9*x ogf] A022092 21.2752 [-9*x/(x^2+x-1) ogf] A022092 22.8338 [1/2/x*(-9-x+(81+18*x+5*x^2)^(1/2)) revogf] A022092 43.1304 [-(1+2*x)/(x^2-1+x) lgdogf] A022092 9.71828 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=9} ogf] A022093 10.2474 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=10} ogf] A022093 13.9935 [1/2*(-x-10+(x^2+4*x+20)^(1/2)*5^(1/2))/x revogf] A022093 14.0047 [f(x)*x^2+f(x)*x-f(x)+10*x ogf] A022093 22.1127 [-10*x/(x^2+x-1) ogf] A022093 31.0967 [-(1+2*x)/(x^2-1+x) lgdogf] A022095 17.9454 [-(4*x+1)/(x^2+x-1) ogf] A022095 21.4323 [1/2/(4+x)*(-x-1+(1+18*x+5*x^2)^(1/2)) revogf] A022095 24.7811 [-(5+2*x+4*x^2)/(4*x+1)/(x^2-1+x) lgdogf] A022095 9.39005 [(7*f(x)+18)*(f(x)*x^2+f(x)*x-f(x)+4*x+1) ogf] A022095 9.84811 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A022096 18.1071 [-(5*x+1)/(x^2+x-1) ogf] A022096 21.6289 [1/2/(5+x)*(-x-1+(1+22*x+5*x^2)^(1/2)) revogf] A022096 25.0084 [-(6+2*x+5*x^2)/(5*x+1)/(x^2+x-1) lgdogf] A022096 9.58611 [(2*f(x)+7)*(f(x)*x^2+f(x)*x-f(x)+5*x+1) ogf] A022096 9.93683 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A022097 17.4127 [-(6*x+1)/(x^2+x-1) ogf] A022097 20.7872 [1/2/(6+x)*(-x-1+(1+26*x+5*x^2)^(1/2)) revogf] A022097 24.0352 [-(7+2*x+6*x^2)/(6*x+1)/(x^2-1+x) lgdogf] A022097 9.11127 [(9*f(x)+40)*(f(x)*x^2+f(x)*x-f(x)+6*x+1) ogf] A022097 9.55573 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A022098 17.5731 [-(7*x+1)/(x^2+x-1) ogf] A022098 20.9824 [1/2/(7+x)*(-x-1+(1+30*x+5*x^2)^(1/2)) revogf] A022098 24.2609 [-(8+2*x+7*x^2)/(7*x+1)/(x^2-1+x) lgdogf] A022098 9.19524 [(5*f(x)+27)*(f(x)*x^2+f(x)*x-f(x)+7*x+1) ogf] A022098 9.64379 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A022099 10.2474 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A022099 18.6730 [-(8*x+1)/(x^2+x-1) ogf] A022099 21.1776 [1/2/(8+x)*(-x-1+(1+34*x+5*x^2)^(1/2)) revogf] A022099 24.4866 [-(9+2*x+8*x^2)/(8*x+1)/(x^2+x-1) lgdogf] A022099 9.65842 [(11*f(x)+70)*(f(x)*x^2+f(x)*x-f(x)+8*x+1) ogf] A022100 17.8941 [-(9*x+1)/(x^2+x-1) ogf] A022100 21.3727 [1/2/(9+x)*(-x-1+(1+38*x+5*x^2)^(1/2)) revogf] A022100 23.9634 [-(10+2*x+9*x^2)/(9*x+1)/(x^2-1+x) lgdogf] A022100 9.36319 [(3*f(x)+22)*(f(x)*x^2+f(x)*x-f(x)+9*x+1) ogf] A022100 9.70163 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A022101 10.2992 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A022101 14.9107 [1/2/(x+10)*(-x-1+(1+42*x+5*x^2)^(1/2)) revogf] A022101 16.1888 [-(11+2*x+10*x^2)/(10*x+1)/(x^2+x-1) lgdogf] A022101 18.5833 [-(10*x+1)/(x^2+x-1) ogf] A022101 9.60486 [(13*f(x)+108)*(f(x)*x^2+f(x)*x-f(x)+10*x+1) ogf] A022102 12.7655 [-(11*x+1)/(x^2+x-1) ogf] A022102 15.0915 [1/2/(x+11)*(-x-1+(1+46*x+5*x^2)^(1/2)) revogf] A022102 16.3850 [-(12+2*x+11*x^2)/(11*x+1)/(x^2-1+x) lgdogf] A022102 6.74956 [(7*f(x)+65)*(f(x)*x^2+f(x)*x-f(x)+11*x+1) ogf] A022102 7.07484 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=12} ogf] A022103 10.4307 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=13} ogf] A022103 18.8206 [-(12*x+1)/(x^2+x-1) ogf] A022103 22.3999 [1/2/(x+12)*(-x-1+(1+50*x+5*x^2)^(1/2)) revogf] A022103 24.3199 [-(13+2*x+12*x^2)/(12*x+1)/(x^2+x-1) lgdogf] A022103 9.72748 [(15*f(x)+154)*(f(x)*x^2+f(x)*x-f(x)+12*x+1) ogf] A022104 12.8401 [-(13*x+1)/(x^2+x-1) ogf] A022104 15.1819 [1/2/(13+x)*(-x-1+(1+54*x+5*x^2)^(1/2)) revogf] A022104 16.4832 [-(14+2*x+13*x^2)/(13*x+1)/(x^2+x-1) lgdogf] A022104 6.78903 [(4*f(x)+45)*(f(x)*x^2+f(x)*x-f(x)+13*x+1) ogf] A022104 7.11622 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=14} ogf] A022105 12.9148 [-(14*x+1)/(x^2+x-1) ogf] A022105 15.2722 [1/2/(14+x)*(-x-1+(1+58*x+5*x^2)^(1/2)) revogf] A022105 16.5813 [-(15+2*x+14*x^2)/(14*x+1)/(x^2-1+x) lgdogf] A022105 6.67505 [(17*f(x)+208)*(f(x)*x^2+f(x)*x-f(x)+14*x+1) ogf] A022105 7.15759 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=15} ogf] A022106 12.9894 [-(15*x+1)/(x^2+x-1) ogf] A022106 15.3626 [1/2/(15+x)*(-x-1+(1+62*x+5*x^2)^(1/2)) revogf] A022106 16.6794 [-(16+2*x+15*x^2)/(15*x+1)/(x^2+x-1) lgdogf] A022106 6.78993 [(9*f(x)+119)*(f(x)*x^2+f(x)*x-f(x)+15*x+1) ogf] A022106 7.19896 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=16} ogf] A022107 12.9894 [-(16*x+1)/(x^2+x-1) ogf] A022107 15.3626 [1/2/(16+x)*(-x-1+(1+66*x+5*x^2)^(1/2)) revogf] A022107 16.6794 [-(17+2*x+16*x^2)/(16*x+1)/(x^2+x-1) lgdogf] A022107 6.71364 [(19*f(x)+270)*(f(x)*x^2+f(x)*x-f(x)+16*x+1) ogf] A022107 7.19896 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=17} ogf] A022108 13.0641 [-(17*x+1)/(x^2+x-1) ogf] A022108 15.4530 [1/2/(17+x)*(-x-1+(1+70*x+5*x^2)^(1/2)) revogf] A022108 16.7775 [-(18+2*x+17*x^2)/(17*x+1)/(x^2-1+x) lgdogf] A022108 6.90745 [(5*f(x)+76)*(f(x)*x^2+f(x)*x-f(x)+17*x+1) ogf] A022108 7.24034 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=18} ogf] A022109 13.1387 [-(18*x+1)/(x^2+x-1) ogf] A022109 15.5433 [1/2/(18+x)*(-x-1+(1+74*x+5*x^2)^(1/2)) revogf] A022109 16.8756 [-(19+2*x+18*x^2)/(18*x+1)/(x^2-1+x) lgdogf] A022109 6.79081 [(21*f(x)+340)*(f(x)*x^2+f(x)*x-f(x)+18*x+1) ogf] A022109 7.28171 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=19} ogf] A022110 12.4218 [-(19*x+1)/(x^2+x-1) ogf] A022110 14.6789 [1/2/(19+x)*(-x-1+(1+78*x+5*x^2)^(1/2)) revogf] A022110 15.9371 [-(20+2*x+19*x^2)/(19*x+1)/(x^2-1+x) lgdogf] A022110 6.42024 [(11*f(x)+189)*(f(x)*x^2+f(x)*x-f(x)+19*x+1) ogf] A022110 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=20} ogf] A022111 3.54118 [(614246217786179*f(x)+12442529664000)*(240*f(x)*x^4-358*f(x)*x^3+137*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A022111 8.71928 [-2*(-10+137*x+480*x^3-537*x^2)/(x-1)/(6*x-1)/(8*x-1)/(5*x-1) lgdogf] A022111 9.54854 [1/(x-1)/(6*x-1)/(8*x-1)/(5*x-1) ogf] A022112 12.3803 [f(x)*x^2+f(x)*x-f(x)+4*x+2 ogf] A022112 15.5490 [1/2/(4+x)*(-x-2+(5*x^2+20*x+4)^(1/2)) revogf] A022112 17.3324 [-2*(2*x+1)/(x^2+x-1) ogf] A022112 17.9785 [-(3+2*x+2*x^2)/(1+2*x)/(x^2-1+x) lgdogf] A022112 9.51170 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=6} ogf] A022113 17.4929 [-(5*x+2)/(x^2+x-1) ogf] A022113 20.8848 [1/2/(5+x)*(-x-2+(5*x^2+24*x+4)^(1/2)) revogf] A022113 24.1480 [-(7+4*x+5*x^2)/(5*x+2)/(x^2+x-1) lgdogf] A022113 9.04805 [(11*f(x)+27)*(f(x)*x^2+f(x)*x-f(x)+5*x+2) ogf] A022113 9.59977 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=7} ogf] A022114 17.8139 [-(7*x+2)/(x^2+x-1) ogf] A022114 21.2752 [1/2/(7+x)*(-x-2+(5*x^2+32*x+4)^(1/2)) revogf] A022114 24.5994 [-(9+4*x+7*x^2)/(7*x+2)/(x^2-1+x) lgdogf] A022114 9.21407 [(13*f(x)+55)*(f(x)*x^2+f(x)*x-f(x)+7*x+2) ogf] A022114 9.77590 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=9} ogf] A022115 18.1348 [-(9*x+2)/(x^2+x-1) ogf] A022115 21.6655 [1/2/(9+x)*(-x-2+(5*x^2+40*x+4)^(1/2)) revogf] A022115 24.2916 [-(11+4*x+9*x^2)/(9*x+2)/(x^2-1+x) lgdogf] A022115 9.38009 [(15*f(x)+91)*(f(x)*x^2+f(x)*x-f(x)+9*x+2) ogf] A022115 9.83214 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=11} ogf] A022116 16.9828 [-(11*x+2)/(x^2+x-1) ogf] A022116 20.1809 [1/2/(x+11)*(-x-2+(5*x^2+48*x+4)^(1/2)) revogf] A022116 21.9107 [-(13+4*x+11*x^2)/(11*x+2)/(x^2+x-1) lgdogf] A022116 8.77761 [(17*f(x)+135)*(f(x)*x^2+f(x)*x-f(x)+11*x+2) ogf] A022116 9.41213 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=13} ogf] A022117 17.0607 [-(13*x+2)/(x^2+x-1) ogf] A022117 20.2752 [1/2/(13+x)*(-x-2+(5*x^2+56*x+4)^(1/2)) revogf] A022117 22.0131 [-(15+4*x+13*x^2)/(13*x+2)/(x^2-1+x) lgdogf] A022117 8.81787 [(19*f(x)+187)*(f(x)*x^2+f(x)*x-f(x)+13*x+2) ogf] A022117 9.45531 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=15} ogf] A022118 17.2944 [-(15*x+2)/(x^2+x-1) ogf] A022118 20.5581 [1/2/(15+x)*(-x-2+(5*x^2+64*x+4)^(1/2)) revogf] A022118 22.3202 [-(17+4*x+15*x^2)/(15*x+2)/(x^2-1+x) lgdogf] A022118 8.93867 [(21*f(x)+247)*(f(x)*x^2+f(x)*x-f(x)+15*x+2) ogf] A022118 9.58483 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=17} ogf] A022119 12.4218 [-(17*x+2)/(x^2+x-1) ogf] A022119 14.6789 [1/2/(17+x)*(-x-2+(5*x^2+72*x+4)^(1/2)) revogf] A022119 15.9371 [-(19+4*x+17*x^2)/(17*x+2)/(x^2-1+x) lgdogf] A022119 6.42024 [(23*f(x)+315)*(f(x)*x^2+f(x)*x-f(x)+17*x+2) ogf] A022119 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=19} ogf] A022120 17.6534 [-(4*x+3)/(x^2+x-1) ogf] A022120 21.0800 [1/2/(4+x)*(-3-x+(9+22*x+5*x^2)^(1/2)) revogf] A022120 24.3737 [-(7+6*x+4*x^2)/(4*x+3)/(x^2+x-1) lgdogf] A022120 9.13106 [(13*f(x)+10)*(f(x)*x^2+f(x)*x-f(x)+4*x+3) ogf] A022120 9.68783 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=7} ogf] A022121 17.7336 [-(5*x+3)/(x^2+x-1) ogf] A022121 21.1776 [1/2/(5+x)*(-3-x+(9+26*x+5*x^2)^(1/2)) revogf] A022121 24.4866 [-(8+6*x+5*x^2)/(5*x+3)/(x^2+x-1) lgdogf] A022121 9.27922 [(7*f(x)+11)*(f(x)*x^2+f(x)*x-f(x)+5*x+3) ogf] A022121 9.73187 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=8} ogf] A022122 18.0546 [-(7*x+3)/(x^2+x-1) ogf] A022122 21.5679 [1/2/(7+x)*(-3-x+(9+34*x+5*x^2)^(1/2)) revogf] A022122 24.1822 [-(10+6*x+7*x^2)/(7*x+3)/(x^2+x-1) lgdogf] A022122 9.44717 [(4*f(x)+13)*(f(x)*x^2+f(x)*x-f(x)+7*x+3) ogf] A022122 9.78864 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=10} ogf] A022123 17.2805 [-(8*x+3)/(x^2+x-1) ogf] A022123 20.6295 [1/2/(8+x)*(-3-x+(9+38*x+5*x^2)^(1/2)) revogf] A022123 23.1300 [-(11+6*x+8*x^2)/(8*x+3)/(x^2-1+x) lgdogf] A022123 8.9382 [(17*f(x)+70)*(f(x)*x^2+f(x)*x-f(x)+8*x+3) ogf] A022123 9.36896 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=11} ogf] A022124 12.9148 [-(10*x+3)/(x^2+x-1) ogf] A022124 14.8806 [1/2/(x+10)*(-3-x+((9+x)*(1+5*x))^(1/2)) revogf] A022124 16.5813 [-(13+6*x+10*x^2)/(10*x+3)/(x^2-1+x) lgdogf] A022124 6.67505 [(19*f(x)+112)*(f(x)*x^2+f(x)*x-f(x)+10*x+3) ogf] A022124 7.15759 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=13} ogf] A022125 15.2722 [1/2/(x+11)*(-3-x+(9+50*x+5*x^2)^(1/2)) revogf] A022125 16.5813 [-(14+6*x+11*x^2)/(11*x+3)/(x^2-1+x) lgdogf] A022125 17.9761 [-(11*x+3)/(x^2+x-1) ogf] A022125 9.5046 [(5*f(x)+34)*(f(x)*x^2+f(x)*x-f(x)+11*x+3) ogf] A022125 9.96266 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=14} ogf] A022126 15.3626 [1/2/(13+x)*(-3-x+(9+58*x+5*x^2)^(1/2)) revogf] A022126 16.6794 [-(16+6*x+13*x^2)/(13*x+3)/(x^2+x-1) lgdogf] A022126 17.2165 [-(13*x+3)/(x^2+x-1) ogf] A022126 8.99952 [(11*f(x)+95)*(f(x)*x^2+f(x)*x-f(x)+13*x+3) ogf] A022126 9.54166 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=16} ogf] A022127 15.4530 [1/2/(14+x)*(-3-x+(9+62*x+5*x^2)^(1/2)) revogf] A022127 16.7775 [-(17+6*x+14*x^2)/(14*x+3)/(x^2-1+x) lgdogf] A022127 17.2944 [-(14*x+3)/(x^2+x-1) ogf] A022127 8.93867 [(23*f(x)+220)*(f(x)*x^2+f(x)*x-f(x)+14*x+3) ogf] A022127 9.58483 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=17} ogf] A022128 12.4218 [-(16*x+3)/(x^2+x-1) ogf] A022128 14.6789 [1/2/(16+x)*(-3-x+(9+70*x+5*x^2)^(1/2)) revogf] A022128 15.9371 [-(19+6*x+16*x^2)/(16*x+3)/(x^2-1+x) lgdogf] A022128 6.42024 [(25*f(x)+286)*(f(x)*x^2+f(x)*x-f(x)+16*x+3) ogf] A022128 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=19} ogf] A022129 12.4957 [-(17*x+3)/(x^2+x-1) ogf] A022129 14.7684 [1/2/(17+x)*(-3-x+(9+74*x+5*x^2)^(1/2)) revogf] A022129 16.0342 [-(20+6*x+17*x^2)/(17*x+3)/(x^2+x-1) lgdogf] A022129 6.45845 [(13*f(x)+161)*(f(x)*x^2+f(x)*x-f(x)+17*x+3) ogf] A022129 6.92534 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=20} ogf] A022130 17.9744 [-(5*x+4)/(x^2+x-1) ogf] A022130 20.9053 [1/2/(5+x)*(-4-x+(16+28*x+5*x^2)^(1/2)) revogf] A022130 24.8251 [-(9+8*x+5*x^2)/(5*x+4)/(x^2-1+x) lgdogf] A022130 9.29708 [(17*f(x)+13)*(f(x)*x^2+f(x)*x-f(x)+5*x+4) ogf] A022130 9.86398 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=9} ogf] A022131 17.3602 [-(7*x+4)/(x^2+x-1) ogf] A022131 20.1809 [1/2/(7+x)*(-4-x+(16+36*x+5*x^2)^(1/2)) revogf] A022131 23.2386 [-(11+8*x+7*x^2)/(7*x+4)/(x^2+x-1) lgdogf] A022131 8.97939 [(19*f(x)+45)*(f(x)*x^2+f(x)*x-f(x)+7*x+4) ogf] A022131 9.41213 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=11} ogf] A022132 17.4398 [-(9*x+4)/(x^2+x-1) ogf] A022132 20.2752 [1/2/(9+x)*(-4-x+(16+44*x+5*x^2)^(1/2)) revogf] A022132 23.3472 [-(13+8*x+9*x^2)/(9*x+4)/(x^2-1+x) lgdogf] A022132 9.02058 [(21*f(x)+85)*(f(x)*x^2+f(x)*x-f(x)+9*x+4) ogf] A022132 9.45531 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=13} ogf] A022133 12.9894 [-(11*x+4)/(x^2+x-1) ogf] A022133 14.9687 [1/2/(x+11)*(-4-x+(16+52*x+5*x^2)^(1/2)) revogf] A022133 16.6794 [-(15+8*x+11*x^2)/(11*x+4)/(x^2+x-1) lgdogf] A022133 6.71364 [(23*f(x)+133)*(f(x)*x^2+f(x)*x-f(x)+11*x+4) ogf] A022133 7.19896 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=15} ogf] A022134 13.1387 [-(13*x+4)/(x^2+x-1) ogf] A022134 15.1448 [1/2/(13+x)*(-4-x+(16+60*x+5*x^2)^(1/2)) revogf] A022134 16.8756 [-(17+8*x+13*x^2)/(13*x+4)/(x^2-1+x) lgdogf] A022134 6.79081 [(25*f(x)+189)*(f(x)*x^2+f(x)*x-f(x)+13*x+4) ogf] A022134 7.28171 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=17} ogf] A022135 12.4218 [-(15*x+4)/(x^2+x-1) ogf] A022135 14.3025 [1/2/(15+x)*(-4-x+(16+68*x+5*x^2)^(1/2)) revogf] A022135 15.9371 [-(19+8*x+15*x^2)/(15*x+4)/(x^2-1+x) lgdogf] A022135 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=19} ogf] A022135 9.01919 [(27*f(x)+253)*(f(x)*x^2+f(x)*x-f(x)+15*x+4) ogf] A022136 17.3602 [-(6*x+5)/(x^2+x-1) ogf] A022136 20.1809 [1/2/(6+x)*(-5-x+(25+34*x+5*x^2)^(1/2)) revogf] A022136 22.5551 [-(11+10*x+6*x^2)/(6*x+5)/(x^2+x-1) lgdogf] A022136 8.97939 [(21*f(x)+16)*(f(x)*x^2+f(x)*x-f(x)+6*x+5) ogf] A022136 9.41213 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=11} ogf] A022137 17.4398 [-(7*x+5)/(x^2+x-1) ogf] A022137 20.2752 [1/2/(7+x)*(-5-x+(25+38*x+5*x^2)^(1/2)) revogf] A022137 22.6605 [-(12+10*x+7*x^2)/(7*x+5)/(x^2-1+x) lgdogf] A022137 9.02058 [(11*f(x)+17)*(f(x)*x^2+f(x)*x-f(x)+7*x+5) ogf] A022137 9.45531 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=12} ogf] A022138 17.4398 [-(8*x+5)/(x^2+x-1) ogf] A022138 20.2752 [1/2/(8+x)*(-5-x+(25+42*x+5*x^2)^(1/2)) revogf] A022138 22.6605 [-(13+10*x+8*x^2)/(8*x+5)/(x^2-1+x) lgdogf] A022138 9.02058 [(23*f(x)+54)*(f(x)*x^2+f(x)*x-f(x)+8*x+5) ogf] A022138 9.45531 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=13} ogf] A022139 17.5194 [-(9*x+5)/(x^2+x-1) ogf] A022139 20.3695 [1/2/(9+x)*(-5-x+(25+46*x+5*x^2)^(1/2)) revogf] A022139 22.7659 [-(14+10*x+9*x^2)/(9*x+5)/(x^2+x-1) lgdogf] A022139 9.16714 [(6*f(x)+19)*(f(x)*x^2+f(x)*x-f(x)+9*x+5) ogf] A022139 9.49848 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=14} ogf] A022140 13.0641 [-(11*x+5)/(x^2+x-1) ogf] A022140 15.0567 [1/2/(x+11)*(-5-x+(25+54*x+5*x^2)^(1/2)) revogf] A022140 16.3115 [-(16+10*x+11*x^2)/(11*x+5)/(x^2-1+x) lgdogf] A022140 7.24034 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=16} ogf] A022140 9.04024 [(13*f(x)+63)*(f(x)*x^2+f(x)*x-f(x)+11*x+5) ogf] A022141 12.4218 [-(12*x+5)/(x^2+x-1) ogf] A022141 14.3025 [1/2/(x+12)*(-5-x+(25+58*x+5*x^2)^(1/2)) revogf] A022141 15.4944 [-(17+10*x+12*x^2)/(12*x+5)/(x^2-1+x) lgdogf] A022141 6.42024 [(27*f(x)+154)*(f(x)*x^2+f(x)*x-f(x)+12*x+5) ogf] A022141 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=17} ogf] A022142 12.4218 [-(13*x+5)/(x^2+x-1) ogf] A022142 14.3025 [1/2/(13+x)*(-5-x+(25+62*x+5*x^2)^(1/2)) revogf] A022142 15.4944 [-(18+10*x+13*x^2)/(13*x+5)/(x^2-1+x) lgdogf] A022142 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=18} ogf] A022142 9.22653 [(7*f(x)+46)*(f(x)*x^2+f(x)*x-f(x)+13*x+5) ogf] A022143 12.4957 [-(14*x+5)/(x^2+x-1) ogf] A022143 14.3897 [1/2/(14+x)*(-5-x+(25+66*x+5*x^2)^(1/2)) revogf] A022143 15.5888 [-(19+10*x+14*x^2)/(14*x+5)/(x^2+x-1) lgdogf] A022143 6.45845 [(29*f(x)+216)*(f(x)*x^2+f(x)*x-f(x)+14*x+5) ogf] A022143 6.92534 [{a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=19} ogf] A022144 12.4250 [(x^2+6*x+1)/(x-1)^2 ogf] A022144 24.7389 [-8*(x+1)/(x-1)/(1+6*x+x^2) lgdogf] A022144 6.39346 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=16} ogf] A022144 9.27502 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+6*x+1 ogf] A022145 13.4643 [-2*(9+38*x+13*x^2)/(x-1)/(x^3+23*x^2+15*x+1) lgdogf] A022145 4.45981 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=18,a(2)=74,a(3)=170} ogf] A022145 4.73855 [(6225*f(x)-70702)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+23*x^2-f(x)+15*x+1) ogf] A022145 8.54273 [-(x^3+23*x^2+15*x+1)/(x-1)^3 ogf] A022146 10.0438 [-32*(1+9*x+2*x^3+12*x^2)/(x-1)/(x^4+60*x^3+102*x^2+28*x+1) lgdogf] A022146 3.70193 [-(4077*f(x)+162598)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-60*x^3-4*f(x)*x-102*x^2+f(x)-28*x-1) ogf] A022146 6.69676 [(x^4+60*x^3+102*x^2+28*x+1)/(x-1)^4 ogf] A022147 5.33144 [-(x^5+125*x^4+402*x^3+290*x^2+45*x+1)/(x-1)^5 ogf] A022147 7.16782 [-2*(25+380*x+65*x^4+652*x^3+1038*x^2)/(x-1)/(x^5+125*x^4+402*x^3+290*x^2+45*x+1) lgdogf] A022148 4.18863 [(x^6+226*x^5+1167*x^4+1596*x^3+655*x^2+66*x+1)/(x-1)^6 ogf] A022148 5.52751 [-8*(9+205*x+29*x^5+433*x^4+1182*x^3+926*x^2)/(x-1)/(x^6+226*x^5+1167*x^4+1596*x^3+655*x^2+66*x+1) lgdogf] A022149 3.70111 [-(x^7+371*x^6+2793*x^5+6155*x^4+4795*x^3+1281*x^2+91*x+1)/(x-1)^7 ogf] A022150 4.29794 [(x^8+568*x^7+5852*x^6+18888*x^5+23750*x^4+12040*x^3+2268*x^2+120*x+1)/(x-1)^8 ogf] A022151 3.81366 [-(x^9+825*x^8+11124*x^7+49380*x^6+91118*x^5+74574*x^4+26628*x^3+3732*x^2+153*x+1)/(x-1)^9 ogf] A022152 3.25661 [(x^10+1150*x^9+19629*x^8+114600*x^7+291410*x^6+350196*x^5+201810*x^4+53544*x^3+5805*x^2+190*x+1)/(x-1)^10 ogf] A022163 4.84394 [-(2038*f(x)+2141)*(3*f(x)*x^4-6*f(x)*x^2+3*x^3+f(x)-5*x-1) ogf] A022163 5.01072 [-(3*x^3-5*x-1)/(3*x^4-6*x^2+1) ogf] A022165 5.01072 [-(x+1)*(4*x^2-4*x-1)/(4*x^4-6*x^2+1) ogf] A022165 5.9461 [-(4*f(x)+9)*(4*f(x)*x^4-6*f(x)*x^2+4*x^3+f(x)-5*x-1) ogf] A022196 5.63754 [1/(x-1)/(9*x-1)/(81*x-1)/(3*x-1)/(243*x-1)/(27*x-1) ogf] A022220 11.9928 [-(43-516*x+648*x^2)/(x-1)/(6*x-1)/(36*x-1) lgdogf] A022220 14.1930 [-1/(x-1)/(6*x-1)/(36*x-1) ogf] A022220 4.92650 [{a(n+3)-43*a(n+2)+258*a(n+1)-216*a(n),a(0)=1,a(1)=43,a(2)=1591} ogf] A022220 5.22901 [(1735597*f(x)-25272)*(216*f(x)*x^3-258*f(x)*x^2+43*f(x)*x-f(x)+1) ogf] A022221 3.63661 [(67542446191*f(x)+6345216)*(46656*f(x)*x^4-55944*f(x)*x^3+9546*f(x)*x^2-259*f(x)*x+f(x)-1) ogf] A022221 7.43835 [-(-259+19092*x-167832*x^2+186624*x^3)/(x-1)/(6*x-1)/(36*x-1)/(216*x-1) lgdogf] A022221 8.56363 [1/(x-1)/(6*x-1)/(36*x-1)/(216*x-1) ogf] A022222 5.61460 [-1/(x-1)/(6*x-1)/(36*x-1)/(1296*x-1)/(216*x-1) ogf] A022231 12.3093 [-3*(19-266*x+343*x^2)/(x-1)/(7*x-1)/(49*x-1) lgdogf] A022231 13.1534 [-1/(x-1)/(7*x-1)/(49*x-1) ogf] A022231 4.56564 [{a(n+3)-57*a(n+2)+399*a(n+1)-343*a(n),a(0)=1,a(1)=57,a(2)=2850} ogf] A022231 4.84598 [(5902051*f(x)-53851)*(343*f(x)*x^3-399*f(x)*x^2+57*f(x)*x-f(x)+1) ogf] A022232 7.22535 [1/(x-1)/(343*x-1)/(7*x-1)/(49*x-1) ogf] A022233 5.88056 [-1/(x-1)/(2401*x-1)/(343*x-1)/(7*x-1)/(49*x-1) ogf] A022242 11.8758 [-1/(x-1)/(8*x-1)/(64*x-1) ogf] A022242 4.12217 [{a(n+3)-73*a(n+2)+584*a(n+1)-512*a(n),a(0)=1,a(1)=73,a(2)=4745} ogf] A022242 4.37528 [(2439543*f(x)-14848)*(512*f(x)*x^3-584*f(x)*x^2+73*f(x)*x-f(x)+1) ogf] A022243 6.89475 [-(-585+75920*x+1048576*x^3-898560*x^2)/(x-1)/(8*x-1)/(512*x-1)/(64*x-1) lgdogf] A022243 7.68411 [1/(x-1)/(8*x-1)/(512*x-1)/(64*x-1) ogf] A022244 5.96750 [-1/(x-1)/(512*x-1)/(4096*x-1)/(64*x-1)/(8*x-1) ogf] A022253 11.6359 [-(91-1638*x+2187*x^2)/(x-1)/(81*x-1)/(9*x-1) lgdogf] A022253 12.4413 [-1/(x-1)/(81*x-1)/(9*x-1) ogf] A022253 4.31846 [{a(n+3)-91*a(n+2)+819*a(n+1)-729*a(n),a(0)=1,a(1)=91,a(2)=7462} ogf] A022253 4.5046 [(43644583*f(x)-185895)*(729*f(x)*x^3-819*f(x)*x^2+91*f(x)*x-f(x)+1) ogf] A022254 7.10960 [-4*(-205+33579*x+531441*x^3-448335*x^2)/(x-1)/(81*x-1)/(729*x-1)/(9*x-1) lgdogf] A022254 8.02817 [1/(x-1)/(81*x-1)/(729*x-1)/(9*x-1) ogf] A022255 6.26724 [-1/(x-1)/(81*x-1)/(729*x-1)/(9*x-1)/(6561*x-1) ogf] A022264 14.3199 [-x*(4*x+3)/(x-1)^3 ogf] A022264 25.9376 [-(13+8*x)/(4*x+3)/(x-1) lgdogf] A022264 7.15992 [(6321*f(x)-14615)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+3*x) ogf] A022264 7.28779 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=13} ogf] A022265 10.6575 [-x*(3*x+4)/(x-1)^3 ogf] A022265 24.8569 [-3*(5+2*x)/(3*x+4)/(x-1) lgdogf] A022265 5.28241 [(15043*f(x)-37851)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+4*x) ogf] A022265 5.42391 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=15} ogf] A022266 14.5225 [-x*(5*x+4)/(x-1)^3 ogf] A022266 25.3116 [-(17+10*x)/(5*x+4)/(x-1) lgdogf] A022266 7.13605 [(35235*f(x)-105469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+4*x) ogf] A022266 7.39091 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=17} ogf] A022267 10.8489 [-x*(4*x+5)/(x-1)^3 ogf] A022267 26.4121 [-(19+8*x)/(4*x+5)/(x-1) lgdogf] A022267 5.3773 [(20169*f(x)-64477)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+5*x) ogf] A022267 5.52134 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=19} ogf] A022268 14.3742 [-x*(6*x+5)/(x-1)^3 ogf] A022268 24.5242 [-3*(7+4*x)/(6*x+5)/(x-1) lgdogf] A022268 7.1871 [(5687*f(x)-20904)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+5*x) ogf] A022268 7.31544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=21} ogf] A022269 14.3742 [-x*(5*x+6)/(x-1)^3 ogf] A022269 33.6601 [-(23+10*x)/(5*x+6)/(x-1) lgdogf] A022269 7.1246 [(12705*f(x)-49283)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+6*x) ogf] A022269 7.31544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=23} ogf] A022270 13.2632 [-x*(7*x+6)/(x-1)^3 ogf] A022270 24.8251 [-(25+14*x)/(7*x+6)/(x-1) lgdogf] A022270 6.46155 [(156663*f(x)-682879)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+6*x) ogf] A022270 6.75001 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=25} ogf] A022271 13.7426 [-x*(6*x+7)/(x-1)^3 ogf] A022271 24.8251 [-3*(9+4*x)/(6*x+7)/(x-1) lgdogf] A022271 6.75282 [(86021*f(x)-392430)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+7*x) ogf] A022271 6.99399 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=27} ogf] A022272 14.4920 [-x*(8*x+7)/(x-1)^3 ogf] A022272 24.9755 [-(29+16*x)/(8*x+7)/(x-1) lgdogf] A022272 7.06022 [(139725*f(x)-704561)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+7*x) ogf] A022272 7.37540 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=29} ogf] A022273 14.0081 [-x*(7*x+8)/(x-1)^3 ogf] A022273 24.9755 [-(31+14*x)/(7*x+8)/(x-1) lgdogf] A022273 6.76664 [(303075*f(x)-1589783)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+8*x) ogf] A022273 7.12914 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=31} ogf] A022274 13.7251 [-x*(9*x+8)/(x-1)^3 ogf] A022274 24.4098 [-3*(11+6*x)/(9*x+8)/(x-1) lgdogf] A022274 6.74422 [(66181*f(x)-378975)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+8*x) ogf] A022274 6.98509 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=33} ogf] A022275 13.7251 [-x*(8*x+9)/(x-1)^3 ogf] A022275 25.4269 [-(35+16*x)/(8*x+9)/(x-1) lgdogf] A022275 6.74422 [(35547*f(x)-210769)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+9*x) ogf] A022275 6.98509 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=35} ogf] A022276 14.5703 [-x*(10*x+9)/(x-1)^3 ogf] A022276 24.6987 [-(37+20*x)/(10*x+9)/(x-1) lgdogf] A022276 7.1015 [(362805*f(x)-2325722)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+9*x) ogf] A022276 7.54535 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=37} ogf] A022277 14.6359 [-x*(9*x+10)/(x-1)^3 ogf] A022277 22.8794 [-3*(13+6*x)/(9*x+10)/(x-1) lgdogf] A022277 7.13349 [(773623*f(x)-5116209)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+10*x) ogf] A022277 7.51226 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=39} ogf] A022278 10.0032 [-x*(11*x+10)/(x-1)^3 ogf] A022278 22.2893 [-(41+22*x)/(11*x+10)/(x-1) lgdogf] A022278 4.87758 [(1086183*f(x)-7706011)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+10*x) ogf] A022278 5.22290 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=41} ogf] A022279 10.0032 [-x*(10*x+11)/(x-1)^3 ogf] A022279 22.2893 [-(43+20*x)/(10*x+11)/(x-1) lgdogf] A022279 4.91823 [(575505*f(x)-4199728)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+11*x) ogf] A022279 5.22290 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=43} ogf] A022280 10.1237 [-x*(12*x+11)/(x-1)^3 ogf] A022280 21.7271 [-3*(15+8*x)/(12*x+11)/(x-1) lgdogf] A022280 4.97749 [(783449*f(x)-6094347)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+11*x) ogf] A022280 5.28583 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=45} ogf] A022281 10.1237 [-x*(11*x+12)/(x-1)^3 ogf] A022281 22.5628 [-(47+22*x)/(11*x+12)/(x-1) lgdogf] A022281 4.89589 [(1652067*f(x)-13186355)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+12*x) ogf] A022281 5.28583 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=12,a(2)=47} ogf] A022282 10.2442 [-x*(13*x+12)/(x-1)^3 ogf] A022282 22.8363 [-(49+26*x)/(13*x+12)/(x-1) lgdogf] A022282 5.03674 [(313125*f(x)-2650051)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+12*x) ogf] A022282 5.34876 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=49} ogf] A022283 10.2442 [-x*(12*x+13)/(x-1)^3 ogf] A022283 21.9905 [-3*(17+8*x)/(12*x+13)/(x-1) lgdogf] A022283 5.03674 [(164375*f(x)-1424487)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+13*x) ogf] A022283 5.34876 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=51} ogf] A022284 10.3045 [-x*(14*x+13)/(x-1)^3 ogf] A022284 22.9730 [-(53+28*x)/(14*x+13)/(x-1) lgdogf] A022284 4.98332 [(1493721*f(x)-13664060)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+13*x) ogf] A022284 5.38022 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=53} ogf] A022285 10.3045 [-x*(13*x+14)/(x-1)^3 ogf] A022285 22.9730 [-(55+26*x)/(13*x+14)/(x-1) lgdogf] A022285 4.98332 [(3125223*f(x)-29222381)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+14*x) ogf] A022285 5.38022 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=55} ogf] A022286 10.3647 [-x*(15*x+14)/(x-1)^3 ogf] A022286 21.4591 [-3*(19+10*x)/(15*x+14)/(x-1) lgdogf] A022286 5.01246 [(3982135*f(x)-39152919)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+14*x) ogf] A022286 5.41168 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=57} ogf] A022287 10.3647 [-x*(14*x+15)/(x-1)^3 ogf] A022287 23.1098 [-(59+28*x)/(14*x+15)/(x-1) lgdogf] A022287 5.01246 [(2076429*f(x)-20836882)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+15*x) ogf] A022287 5.41168 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=59} ogf] A022288 10.4250 [-x*(16*x+15)/(x-1)^3 ogf] A022288 23.2465 [-(61+32*x)/(16*x+15)/(x-1) lgdogf] A022288 5.12563 [(371907*f(x)-3911219)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+15*x) ogf] A022288 5.44315 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=61} ogf] A022289 10.4250 [-x*(15*x+16)/(x-1)^3 ogf] A022289 21.5861 [-3*(21+10*x)/(15*x+16)/(x-1) lgdogf] A022289 5.12563 [(773605*f(x)-8292633)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+16*x) ogf] A022289 5.44315 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=63} ogf] A022291 3.74967 [(11530149297931*f(x)+206789112000)*(270*f(x)*x^4-399*f(x)*x^3+149*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A022291 9.05649 [-(-21+298*x-1197*x^2+1080*x^3)/(x-1)/(6*x-1)/(9*x-1)/(5*x-1) lgdogf] A022291 9.90984 [1/(x-1)/(6*x-1)/(9*x-1)/(5*x-1) ogf] A022308 16.1836 [-x*(2*x-3)/(x-1)/(x^2+x-1) ogf] A022308 18.1880 [-(-2+x)*(4*x^2-x-2)/(x-1)/(2*x-3)/(x^2-1+x) lgdogf] A022308 8.17519 [-(111*f(x)+304)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)-3*x) ogf] A022308 8.52683 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=3,a(2)=4} ogf] A022309 13.7784 [-(5+6*x^3-12*x^2)/(3*x-4)/(x-1)/(x^2-1+x) lgdogf] A022309 16.4063 [-x*(3*x-4)/(x-1)/(x^2+x-1) ogf] A022309 8.64416 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=4,a(2)=5} ogf] A022309 8.9323 [(5*f(x)+16)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)-4*x) ogf] A022310 16.5548 [-x*(4*x-5)/(x-1)/(x^2+x-1) ogf] A022310 19.5188 [-(6+8*x^3-15*x^2)/(x-1)/(4*x-5)/(x^2+x-1) lgdogf] A022310 8.72240 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=5,a(2)=6} ogf] A022310 9.01313 [(6*f(x)+25)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)-5*x) ogf] A022311 15.9175 [-x*(5*x-6)/(x-1)/(x^2+x-1) ogf] A022311 18.3125 [-(7+10*x^3-18*x^2)/(5*x-6)/(x-1)/(x^2-1+x) lgdogf] A022311 8.38666 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=6,a(2)=7} ogf] A022311 8.6662 [(7*f(x)+36)*(f(x)*x^3-2*f(x)*x+5*x^2+f(x)-6*x) ogf] A022312 16.0649 [-x*(6*x-7)/(x-1)/(x^2+x-1) ogf] A022312 18.4845 [-(8+12*x^3-21*x^2)/(x-1)/(6*x-7)/(x^2-1+x) lgdogf] A022312 8.46431 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=7,a(2)=8} ogf] A022312 8.74645 [(8*f(x)+49)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)-7*x) ogf] A022313 16.1386 [-x*(7*x-8)/(x-1)/(x^2+x-1) ogf] A022313 18.5704 [-(9+14*x^3-24*x^2)/(7*x-8)/(x-1)/(x^2+x-1) lgdogf] A022313 8.50313 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=8,a(2)=9} ogf] A022313 8.78657 [(9*f(x)+64)*(f(x)*x^3-2*f(x)*x+7*x^2+f(x)-8*x) ogf] A022314 16.2860 [-x*(8*x-9)/(x-1)/(x^2+x-1) ogf] A022314 18.3065 [-(10+16*x^3-27*x^2)/(x-1)/(8*x-9)/(x^2-1+x) lgdogf] A022314 8.48950 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=9,a(2)=10} ogf] A022314 8.76937 [(10*f(x)+81)*(f(x)*x^3-2*f(x)*x+8*x^2+f(x)-9*x) ogf] A022315 11.5382 [-x*(9*x-10)/(x-1)/(x^2+x-1) ogf] A022315 12.8775 [-(11+18*x^3-30*x^2)/(9*x-10)/(x-1)/(x^2+x-1) lgdogf] A022315 6.07274 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=10,a(2)=11} ogf] A022315 6.20333 [(11*f(x)+100)*(f(x)*x^3-2*f(x)*x+9*x^2+f(x)-10*x) ogf] A022316 11.4466 [-x*(10*x-11)/(x-1)/(x^2+x-1) ogf] A022316 12.7439 [-(12+20*x^3-33*x^2)/(10*x-11)/(x-1)/(x^2-1+x) lgdogf] A022316 6.14503 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=11,a(2)=12} ogf] A022316 6.2104 [(12*f(x)+121)*(f(x)*x^3-2*f(x)*x+10*x^2+f(x)-11*x) ogf] A022317 11.5140 [-x*(11*x-12)/(x-1)/(x^2+x-1) ogf] A022317 12.8202 [-(13+22*x^3-36*x^2)/(11*x-12)/(x-1)/(x^2+x-1) lgdogf] A022317 6.18118 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=12,a(2)=13} ogf] A022317 6.24693 [(13*f(x)+144)*(f(x)*x^3-2*f(x)*x+11*x^2+f(x)-12*x) ogf] A022318 10.9857 [-(2*x^2-2*x-1)/(x-1)/(x^2+x-1) ogf] A022318 11.8413 [-(x-2)*(2*x^3+x-2)/(x-1)/(2*x^2-2*x-1)/(x^2-1+x) lgdogf] A022318 5.82244 [-(27*f(x)+101)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A022318 6.19409 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=4,a(2)=6} ogf] A022319 10.2734 [-(5-6*x+3*x^4-6*x^3+3*x^2)/(x-1)/(3*x^2-3*x-1)/(x^2-1+x) lgdogf] A022319 11.1165 [-(3*x^2-3*x-1)/(x-1)/(x^2+x-1) ogf] A022319 6.13724 [(95*f(x)+433)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)-3*x-1) ogf] A022319 6.26783 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=5,a(2)=7} ogf] A022320 10.3972 [-(6-8*x+4*x^4-8*x^3+5*x^2)/(x-1)/(4*x^2-4*x-1)/(x^2+x-1) lgdogf] A022320 11.2473 [-(4*x^2-4*x-1)/(x-1)/(x^2+x-1) ogf] A022320 6.08272 [(233*f(x)+1275)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)-4*x-1) ogf] A022320 6.34156 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=6,a(2)=8} ogf] A022321 10.1582 [-(7-10*x+5*x^4-10*x^3+7*x^2)/(x-1)/(5*x^2-5*x-1)/(x^2+x-1) lgdogf] A022321 11.3781 [-(5*x^2-5*x-1)/(x-1)/(x^2+x-1) ogf] A022321 6.15345 [(474*f(x)+3041)*(f(x)*x^3-2*f(x)*x+5*x^2+f(x)-5*x-1) ogf] A022321 6.41531 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=7,a(2)=9} ogf] A022322 10.8203 [-(6*x^2-6*x-1)/(x-1)/(x^2+x-1) ogf] A022322 5.85179 [(857*f(x)+6319)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)-6*x-1) ogf] A022322 6.03659 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=8,a(2)=10} ogf] A022322 9.65070 [-(8-12*x+6*x^4-12*x^3+9*x^2)/(x-1)/(6*x^2-6*x-1)/(x^2-1+x) lgdogf] A022323 10.8203 [-(7*x^2-7*x-1)/(x-1)/(x^2+x-1) ogf] A022323 5.73476 [(1427*f(x)+11901)*(f(x)*x^3-2*f(x)*x+7*x^2+f(x)-7*x-1) ogf] A022323 6.03659 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=9,a(2)=11} ogf] A022323 9.48712 [-(9-14*x+7*x^4-14*x^3+11*x^2)/(x-1)/(x^2-1+x)/(7*x^2-7*x-1) lgdogf] A022324 11.0147 [-(8*x^2-8*x-1)/(x-1)/(x^2+x-1) ogf] A022324 5.83778 [(2235*f(x)+20813)*(f(x)*x^3-2*f(x)*x+8*x^2+f(x)-8*x-1) ogf] A022324 6.08102 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=10,a(2)=12} ogf] A022324 9.50071 [-(10-16*x+8*x^4-16*x^3+13*x^2)/(x-1)/(8*x^2-8*x-1)/(x^2-1+x) lgdogf] A022325 11.0795 [-(9*x^2-9*x-1)/(x-1)/(x^2+x-1) ogf] A022325 5.87212 [(3338*f(x)+34345)*(f(x)*x^3-2*f(x)*x+9*x^2+f(x)-9*x-1) ogf] A022325 6.11679 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=11,a(2)=13} ogf] A022325 9.55794 [-(11-18*x+9*x^4-18*x^3+15*x^2)/(x-1)/(9*x^2-9*x-1)/(x^2-1+x) lgdogf] A022326 10.7390 [-(10*x^2-10*x-1)/(x-1)/(x^2+x-1) ogf] A022326 5.79065 [(4799*f(x)+54081)*(f(x)*x^3-2*f(x)*x+10*x^2+f(x)-10*x-1) ogf] A022326 6.15256 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=12,a(2)=14} ogf] A022326 9.15731 [-(12-20*x+10*x^4-20*x^3+17*x^2)/(x-1)/(x^2+x-1)/(10*x^2-10*x-1) lgdogf] A022330 5.18752 [-(x^12+2*x^11+x^10+2*x^9+x^8+2*x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A022335 11.0193 [-(x^5+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A022335 7.61903 [-(2+2*x+4*x^7+4*x^8+13*x^6+6*x^5+9*x^4+4*x^3+4*x^11+2*x^10+8*x^9+5*x^2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^5+x^3+1) lgdogf] A022343 4.02139 [(165678887*f(x)+2665440)*(300*f(x)*x^4-440*f(x)*x^3+161*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A022343 8.90803 [-2*(-11+161*x-660*x^2+600*x^3)/(x-1)/(6*x-1)/(5*x-1)/(10*x-1) lgdogf] A022343 9.90984 [1/(x-1)/(6*x-1)/(5*x-1)/(10*x-1) ogf] A022345 13.4206 [f(x)*x^2+f(x)*x-f(x)+11*x ogf] A022345 15.6437 [1/2/x*(-x-11+(5*x^2+22*x+121)^(1/2)) revogf] A022345 21.1904 [-11*x/(x^2+x-1) ogf] A022345 31.2875 [-(1+2*x)/(x^2-1+x) lgdogf] A022345 9.81994 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=11} ogf] A022346 12.0012 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=12} ogf] A022346 15.7391 [1/2/x*(-x-12+(5*x^2+24*x+144)^(1/2)) revogf] A022346 16.4016 [f(x)*x^2+f(x)*x-f(x)+12*x ogf] A022346 25.8973 [-12*x/(x^2+x-1) ogf] A022346 31.4782 [-(1+2*x)/(x^2+x-1) lgdogf] A022347 15.0206 [f(x)*x^2+f(x)*x-f(x)+13*x ogf] A022347 15.3626 [-13*x/(x^2+x-1) ogf] A022347 15.9299 [1/2/x*(-13-x+(169+26*x+5*x^2)^(1/2)) revogf] A022347 31.8598 [-(1+2*x)/(x^2-1+x) lgdogf] A022347 7.11924 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=13} ogf] A022348 15.4529 [-14*x/(x^2+x-1) ogf] A022348 16.0253 [1/2/x*(-14-x+(196+28*x+5*x^2)^(1/2)) revogf] A022348 32.0506 [-(1+2*x)/(x^2+x-1) lgdogf] A022348 7.16112 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=14} ogf] A022348 9.78686 [f(x)*x^2+f(x)*x-f(x)+14*x ogf] A022349 12.1823 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=15} ogf] A022349 14.5086 [1/2*(-15-x+(45+6*x+x^2)^(1/2)*5^(1/2))/x revogf] A022349 16.6492 [f(x)*x^2+f(x)*x-f(x)+15*x ogf] A022349 26.2882 [-15*x/(x^2+x-1) ogf] A022349 32.2414 [-(1+2*x)/(x^2-1+x) lgdogf] A022350 15.5433 [-16*x/(x^2+x-1) ogf] A022350 16.1207 [1/2/x*(-16-x+(256+32*x+5*x^2)^(1/2)) revogf] A022350 32.2414 [-(1+2*x)/(x^2-1+x) lgdogf] A022350 7.20300 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=16} ogf] A022350 9.8441 [f(x)*x^2+f(x)*x-f(x)+16*x ogf] A022351 15.6337 [-17*x/(x^2+x-1) ogf] A022351 16.2161 [1/2/x*(-17-x+(289+34*x+5*x^2)^(1/2)) revogf] A022351 32.4321 [-(1+2*x)/(x^2+x-1) lgdogf] A022351 7.24488 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=17} ogf] A022351 9.90133 [f(x)*x^2+f(x)*x-f(x)+17*x ogf] A022352 15.6337 [-18*x/(x^2+x-1) ogf] A022352 16.2161 [1/2/x*(-18-x+(324+36*x+5*x^2)^(1/2)) revogf] A022352 32.4321 [-(1+2*x)/(x^2+x-1) lgdogf] A022352 7.24488 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=18} ogf] A022352 9.90133 [f(x)*x^2+f(x)*x-f(x)+18*x ogf] A022353 15.7241 [-19*x/(x^2+x-1) ogf] A022353 16.3115 [1/2/x*(-19-x+(361+38*x+5*x^2)^(1/2)) revogf] A022353 32.6229 [-(1+2*x)/(x^2-1+x) lgdogf] A022353 7.28676 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=19} ogf] A022353 9.95856 [f(x)*x^2+f(x)*x-f(x)+19*x ogf] A022354 13.9449 [1/2*(-20-x+(80+8*x+x^2)^(1/2)*5^(1/2))/x revogf] A022354 14.9474 [-20*x/(x^2+x-1) ogf] A022354 30.9887 [-(1+2*x)/(x^2-1+x) lgdogf] A022354 6.92683 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=20} ogf] A022354 9.46667 [f(x)*x^2+f(x)*x-f(x)+20*x ogf] A022355 13.3187 [f(x)*x^2+f(x)*x-f(x)+21*x ogf] A022355 15.4944 [1/2/x*(-21-x+(441+42*x+5*x^2)^(1/2)) revogf] A022355 21.0296 [-21*x/(x^2+x-1) ogf] A022355 30.9887 [-(1+2*x)/(x^2-1+x) lgdogf] A022355 9.74543 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=21} ogf] A022356 15.0369 [-22*x/(x^2+x-1) ogf] A022356 15.5888 [1/2/x*(-22-x+(484+44*x+5*x^2)^(1/2)) revogf] A022356 31.1777 [-(1+2*x)/(x^2+x-1) lgdogf] A022356 6.96832 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=22} ogf] A022356 9.52335 [f(x)*x^2+f(x)*x-f(x)+22*x ogf] A022357 15.0369 [-23*x/(x^2+x-1) ogf] A022357 15.5888 [1/2/x*(-23-x+(529+46*x+5*x^2)^(1/2)) revogf] A022357 31.1777 [-(1+2*x)/(x^2+x-1) lgdogf] A022357 6.96832 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=23} ogf] A022357 9.52335 [f(x)*x^2+f(x)*x-f(x)+23*x ogf] A022358 15.1264 [-24*x/(x^2+x-1) ogf] A022358 15.6833 [1/2/x*(-24-x+(576+48*x+5*x^2)^(1/2)) revogf] A022358 31.3666 [-(1+2*x)/(x^2-1+x) lgdogf] A022358 7.00979 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=24} ogf] A022358 9.58004 [f(x)*x^2+f(x)*x-f(x)+24*x ogf] A022359 13.4382 [f(x)*x^2+f(x)*x-f(x)+25*x ogf] A022359 18.9415 [1/2*(-25-x+(125+10*x+x^2)^(1/2)*5^(1/2))/x revogf] A022359 21.2182 [-25*x/(x^2+x-1) ogf] A022359 44.1967 [-(1+2*x)/(x^2-1+x) lgdogf] A022359 9.83283 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=25} ogf] A022360 15.1264 [-26*x/(x^2+x-1) ogf] A022360 15.6833 [1/2/x*(-26-x+(676+52*x+5*x^2)^(1/2)) revogf] A022360 31.3666 [-(1+2*x)/(x^2-1+x) lgdogf] A022360 7.00979 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=26} ogf] A022360 9.58004 [f(x)*x^2+f(x)*x-f(x)+26*x ogf] A022361 15.2159 [-27*x/(x^2+x-1) ogf] A022361 15.7778 [1/2/x*(-27-x+(729+54*x+5*x^2)^(1/2)) revogf] A022361 31.5556 [-(1+2*x)/(x^2-1+x) lgdogf] A022361 7.05127 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=27} ogf] A022361 9.63673 [f(x)*x^2+f(x)*x-f(x)+27*x ogf] A022362 15.2159 [-28*x/(x^2+x-1) ogf] A022362 15.7778 [1/2/x*(-28-x+(784+56*x+5*x^2)^(1/2)) revogf] A022362 31.5556 [-(1+2*x)/(x^2-1+x) lgdogf] A022362 7.05127 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=28} ogf] A022362 9.63673 [f(x)*x^2+f(x)*x-f(x)+28*x ogf] A022363 12.8585 [f(x)*x^2+f(x)*x-f(x)+29*x ogf] A022363 15.7778 [1/2/x*(-29-x+(841+58*x+5*x^2)^(1/2)) revogf] A022363 20.3029 [-29*x/(x^2+x-1) ogf] A022363 31.5556 [-(1+2*x)/(x^2-1+x) lgdogf] A022363 9.40867 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=29} ogf] A022364 13.6048 [1/2*(-30-x+(180+12*x+x^2)^(1/2)*5^(1/2))/x revogf] A022364 15.3054 [-30*x/(x^2+x-1) ogf] A022364 31.7445 [-(1+2*x)/(x^2+x-1) lgdogf] A022364 7.09274 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=30} ogf] A022364 9.69341 [f(x)*x^2+f(x)*x-f(x)+30*x ogf] A022365 15.3054 [-31*x/(x^2+x-1) ogf] A022365 15.8723 [1/2/x*(-31-x+(961+62*x+5*x^2)^(1/2)) revogf] A022365 31.7445 [-(1+2*x)/(x^2+x-1) lgdogf] A022365 7.09274 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=31} ogf] A022365 9.69341 [f(x)*x^2+f(x)*x-f(x)+31*x ogf] A022366 15.3949 [-32*x/(x^2+x-1) ogf] A022366 15.5352 [1/2/x*(-x-32+(5*x^2+64*x+1024)^(1/2)) revogf] A022366 31.9335 [-(1+2*x)/(x^2-1+x) lgdogf] A022366 7.13422 [{-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=32} ogf] A022366 9.7501 [f(x)*x^2+f(x)*x-f(x)+32*x ogf] A022367 10.2992 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=10} ogf] A022367 15.3137 [1/2/(8+x)*(-x-2+(5*x^2+36*x+4)^(1/2)) revogf] A022367 17.7065 [-(5+2*x+4*x^2)/(4*x+1)/(x^2+x-1) lgdogf] A022367 18.9963 [-2*(4*x+1)/(x^2+x-1) ogf] A022367 9.93992 [(7*f(x)+36)*(f(x)*x^2+f(x)*x-f(x)+8*x+2) ogf] A022368 12.7655 [-2*(5*x+1)/(x^2+x-1) ogf] A022368 15.0915 [1/2/(x+10)*(-x-2+(5*x^2+44*x+4)^(1/2)) revogf] A022368 17.9211 [-(6+2*x+5*x^2)/(5*x+1)/(x^2-1+x) lgdogf] A022368 6.82804 [(f(x)+7)*(f(x)*x^2+f(x)*x-f(x)+10*x+2) ogf] A022368 7.07484 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=12} ogf] A022369 12.9148 [-2*(6*x+1)/(x^2+x-1) ogf] A022369 15.2722 [1/2/(x+12)*(-x-2+(5*x^2+52*x+4)^(1/2)) revogf] A022369 18.1358 [-(7+2*x+6*x^2)/(6*x+1)/(x^2-1+x) lgdogf] A022369 6.8285 [(9*f(x)+80)*(f(x)*x^2+f(x)*x-f(x)+12*x+2) ogf] A022369 7.15759 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=14} ogf] A022370 12.9894 [-2*(7*x+1)/(x^2+x-1) ogf] A022370 15.3626 [1/2/(14+x)*(-x-2+(5*x^2+60*x+4)^(1/2)) revogf] A022370 18.2431 [-(8+2*x+7*x^2)/(7*x+1)/(x^2+x-1) lgdogf] A022370 6.28962 [-(145*f(x)+7902)*(f(x)*x^2+f(x)*x-f(x)+14*x+2) ogf] A022370 7.19896 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=16} ogf] A022371 13.0641 [-2*(8*x+1)/(x^2+x-1) ogf] A022371 15.4530 [1/2/(16+x)*(-x-2+(5*x^2+68*x+4)^(1/2)) revogf] A022371 18.3504 [-(9+2*x+8*x^2)/(8*x+1)/(x^2-1+x) lgdogf] A022371 6.75222 [(11*f(x)+140)*(f(x)*x^2+f(x)*x-f(x)+16*x+2) ogf] A022371 7.24034 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=18} ogf] A022372 12.4218 [-2*(9*x+1)/(x^2+x-1) ogf] A022372 14.6789 [1/2/(18+x)*(-x-2+(5*x^2+76*x+4)^(1/2)) revogf] A022372 16.9029 [-(10+2*x+9*x^2)/(9*x+1)/(x^2-1+x) lgdogf] A022372 6.56783 [(3*f(x)+44)*(f(x)*x^2+f(x)*x-f(x)+18*x+2) ogf] A022372 6.88436 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=20} ogf] A022373 10.0136 [(13*f(x)+216)*(f(x)*x^2+f(x)*x-f(x)+20*x+2) ogf] A022373 10.7375 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=22} ogf] A022373 14.7684 [1/2/(20+x)*(-x-2+(5*x^2+84*x+4)^(1/2)) revogf] A022373 16.0342 [-(11+2*x+10*x^2)/(10*x+1)/(x^2+x-1) lgdogf] A022373 19.3741 [-2*(10*x+1)/(x^2+x-1) ogf] A022374 10.7813 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=24} ogf] A022374 14.8579 [1/2/(22+x)*(-x-2+(5*x^2+92*x+4)^(1/2)) revogf] A022374 16.1314 [-(12+2*x+11*x^2)/(11*x+1)/(x^2-1+x) lgdogf] A022374 19.4532 [-2*(11*x+1)/(x^2+x-1) ogf] A022374 9.32131 [-(313*f(x)+40846)*(f(x)*x^2+f(x)*x-f(x)+22*x+2) ogf] A022375 10.0953 [(15*f(x)+308)*(f(x)*x^2+f(x)*x-f(x)+24*x+2) ogf] A022375 10.8251 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=26} ogf] A022375 14.5641 [1/2/(24+x)*(-x-2+(5*x^2+100*x+4)^(1/2)) revogf] A022375 16.2286 [-(13+2*x+12*x^2)/(12*x+1)/(x^2-1+x) lgdogf] A022375 19.5323 [-2*(12*x+1)/(x^2+x-1) ogf] A022376 10.3542 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=28} ogf] A022376 14.5641 [1/2/(26+x)*(-x-2+(5*x^2+108*x+4)^(1/2)) revogf] A022376 16.2286 [-(14+2*x+13*x^2)/(13*x+1)/(x^2-1+x) lgdogf] A022376 18.6826 [-2*(13*x+1)/(x^2+x-1) ogf] A022376 9.87814 [(2*f(x)+45)*(f(x)*x^2+f(x)*x-f(x)+26*x+2) ogf] A022377 12.7175 [-2*(14*x+1)/(x^2+x-1) ogf] A022377 14.6513 [1/2/(28+x)*(-x-2+(5*x^2+116*x+4)^(1/2)) revogf] A022377 16.3258 [-(15+2*x+14*x^2)/(14*x+1)/(x^2+x-1) lgdogf] A022377 6.5731 [(17*f(x)+416)*(f(x)*x^2+f(x)*x-f(x)+28*x+2) ogf] A022377 7.04826 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=30} ogf] A022378 12.8654 [-2*(15*x+1)/(x^2+x-1) ogf] A022378 14.8257 [1/2/(30+x)*(-x-2+(5*x^2+124*x+4)^(1/2)) revogf] A022378 16.5201 [-(16+2*x+15*x^2)/(15*x+1)/(x^2+x-1) lgdogf] A022378 6.10112 [-(545*f(x)+129982)*(f(x)*x^2+f(x)*x-f(x)+30*x+2) ogf] A022378 7.13023 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=32} ogf] A022379 10.3361 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=9} ogf] A022379 15.1281 [1/2/(6+x)*(-3-x+(9+30*x+5*x^2)^(1/2)) revogf] A022379 17.4919 [-(3+2*x+2*x^2)/(2*x+1)/(x^2-1+x) lgdogf] A022379 18.8346 [-3*(2*x+1)/(x^2+x-1) ogf] A022379 9.21258 [-(25*f(x)+168)*(f(x)*x^2+f(x)*x-f(x)+6*x+3) ogf] A022380 13.1255 [-3*(3*x+1)/(x^2+x-1) ogf] A022380 15.5922 [1/2/(9+x)*(-3-x+(9+42*x+5*x^2)^(1/2)) revogf] A022380 18.0284 [-(4+2*x+3*x^2)/(3*x+1)/(x^2+x-1) lgdogf] A022380 7.11622 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=12} ogf] A022380 8.03818 [-(41*f(x)+645)*(f(x)*x^2+f(x)*x-f(x)+9*x+3) ogf] A022381 12.9894 [-3*(4*x+1)/(x^2+x-1) ogf] A022381 15.3626 [1/2/(x+12)*(-3-x+(9+54*x+5*x^2)^(1/2)) revogf] A022381 18.2431 [-(5+2*x+4*x^2)/(4*x+1)/(x^2+x-1) lgdogf] A022381 6.86797 [(7*f(x)+54)*(f(x)*x^2+f(x)*x-f(x)+12*x+3) ogf] A022381 7.19896 [{a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=15} ogf] A022382 15.0915 [1/2/(6+x)*(-4-x+(16+32*x+5*x^2)^(1/2)) revogf] A022382 17.9211 [-(5+4*x+3*x^2)/(3*x+2)/(x^2-1+x) lgdogf] A022382 18.2151 [-2*(3*x+2)/(x^2+x-1) ogf] A022382 9.53114 [(9*f(x)+14)*(f(x)*x^2+f(x)*x-f(x)+6*x+4) ogf] A022382 9.87565 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=10} ogf] A022383 16.2310 [-2*(5*x+2)/(x^2+x-1) ogf] A022383 18.7795 [1/2/(x+10)*(-4-x+(16+48*x+5*x^2)^(1/2)) revogf] A022383 22.8876 [-(7+4*x+5*x^2)/(5*x+2)/(x^2+x-1) lgdogf] A022383 8.48435 [(11*f(x)+54)*(f(x)*x^2+f(x)*x-f(x)+10*x+4) ogf] A022383 8.99547 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=14} ogf] A022384 10.1802 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=18} ogf] A022384 14.3025 [1/2/(14+x)*(-4-x+(16+64*x+5*x^2)^(1/2)) revogf] A022384 17.4311 [-(9+4*x+7*x^2)/(7*x+2)/(x^2-1+x) lgdogf] A022384 18.3686 [-2*(7*x+2)/(x^2+x-1) ogf] A022384 9.49387 [(13*f(x)+110)*(f(x)*x^2+f(x)*x-f(x)+14*x+4) ogf] A022385 10.0545 [(15*f(x)+182)*(f(x)*x^2+f(x)*x-f(x)+18*x+4) ogf] A022385 10.7813 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=22} ogf] A022385 14.4769 [1/2/(18+x)*(-4-x+(16+80*x+5*x^2)^(1/2)) revogf] A022385 17.1091 [-(11+4*x+9*x^2)/(9*x+2)/(x^2-1+x) lgdogf] A022385 19.4532 [-2*(9*x+2)/(x^2+x-1) ogf] A022386 10.3542 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=26} ogf] A022386 18.6826 [-2*(11*x+2)/(x^2+x-1) ogf] A022386 19.5088 [1/2/(22+x)*(-4-x+(16+96*x+5*x^2)^(1/2)) revogf] A022386 21.7384 [-(13+4*x+11*x^2)/(11*x+2)/(x^2-1+x) lgdogf] A022386 9.65616 [(17*f(x)+270)*(f(x)*x^2+f(x)*x-f(x)+22*x+4) ogf] A022387 10.4412 [{a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=30} ogf] A022387 14.3701 [1/2/(26+x)*(-4-x+(16+112*x+5*x^2)^(1/2)) revogf] A022387 16.4229 [-(15+4*x+13*x^2)/(13*x+2)/(x^2-1+x) lgdogf] A022387 18.8396 [-2*(13*x+2)/(x^2+x-1) ogf] A022387 9.73731 [(19*f(x)+374)*(f(x)*x^2+f(x)*x-f(x)+26*x+4) ogf] A022388 10.5275 [(25*f(x)+19)*(f(x)*x^2+f(x)*x-f(x)+7*x+6) ogf] A022388 11.0348 [{a(n+2)-a(n+1)-a(n),a(0)=6,a(1)=13} ogf] A022388 20.3531 [-(7*x+6)/(x^2+x-1) ogf] A022388 20.3695 [1/2/(7+x)*(-6-x+(36+40*x+5*x^2)^(1/2)) revogf] A022388 22.7659 [-(13+12*x+7*x^2)/(7*x+6)/(x^2+x-1) lgdogf] A022389 17.6787 [-(8*x+7)/(x^2+x-1) ogf] A022389 20.5581 [1/2/(8+x)*(-7-x+(49+46*x+5*x^2)^(1/2)) revogf] A022389 22.9767 [-(15+14*x+8*x^2)/(8*x+7)/(x^2-1+x) lgdogf] A022389 9.14415 [(29*f(x)+22)*(f(x)*x^2+f(x)*x-f(x)+8*x+7) ogf] A022389 9.58483 [{a(n+2)-a(n+1)-a(n),a(0)=7,a(1)=15} ogf] A022390 12.9264 [(33*f(x)+25)*(f(x)*x^2+f(x)*x-f(x)+9*x+8) ogf] A022390 13.5494 [{a(n+2)-a(n+1)-a(n),a(0)=8,a(1)=17} ogf] A022390 20.8410 [1/2/(9+x)*(-8-x+(64+52*x+5*x^2)^(1/2)) revogf] A022390 23.2929 [-(17+16*x+9*x^2)/(9*x+8)/(x^2+x-1) lgdogf] A022390 24.9911 [-(9*x+8)/(x^2+x-1) ogf] A022391 10.0136 [(23*f(x)+418)*(f(x)*x^2+f(x)*x-f(x)+20*x+1) ogf] A022391 10.7375 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=21} ogf] A022391 14.7684 [1/2/(20+x)*(-x-1+(1+82*x+5*x^2)^(1/2)) revogf] A022391 16.0342 [-(21+2*x+20*x^2)/(20*x+1)/(x^2+x-1) lgdogf] A022391 19.3741 [-(20*x+1)/(x^2+x-1) ogf] A022392 10.1274 [(6*f(x)+115)*(f(x)*x^2+f(x)*x-f(x)+21*x+1) ogf] A022392 10.7375 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=22} ogf] A022392 14.7684 [1/2/(21+x)*(-x-1+(1+86*x+5*x^2)^(1/2)) revogf] A022392 16.0342 [-(22+2*x+21*x^2)/(21*x+1)/(x^2+x-1) lgdogf] A022392 19.3741 [-(21*x+1)/(x^2+x-1) ogf] A022393 10.0136 [(25*f(x)+504)*(f(x)*x^2+f(x)*x-f(x)+22*x+1) ogf] A022393 10.7375 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=23} ogf] A022393 14.7684 [1/2/(22+x)*(-x-1+(1+90*x+5*x^2)^(1/2)) revogf] A022393 16.0342 [-(23+2*x+22*x^2)/(22*x+1)/(x^2+x-1) lgdogf] A022393 19.3741 [-(22*x+1)/(x^2+x-1) ogf] A022394 10.0545 [(13*f(x)+275)*(f(x)*x^2+f(x)*x-f(x)+23*x+1) ogf] A022394 10.7813 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=24} ogf] A022394 14.8579 [1/2/(23+x)*(-x-1+(1+94*x+5*x^2)^(1/2)) revogf] A022394 16.1314 [-(24+2*x+23*x^2)/(23*x+1)/(x^2-1+x) lgdogf] A022394 19.4532 [-(23*x+1)/(x^2+x-1) ogf] A022395 10.0545 [(27*f(x)+598)*(f(x)*x^2+f(x)*x-f(x)+24*x+1) ogf] A022395 10.7813 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=25} ogf] A022395 14.8579 [1/2/(24+x)*(-x-1+(1+98*x+5*x^2)^(1/2)) revogf] A022395 16.1314 [-(25+2*x+24*x^2)/(24*x+1)/(x^2-1+x) lgdogf] A022395 19.4532 [-(24*x+1)/(x^2+x-1) ogf] A022396 10.21 [(7*f(x)+162)*(f(x)*x^2+f(x)*x-f(x)+25*x+1) ogf] A022396 10.8251 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=26} ogf] A022396 14.5641 [1/2/(25+x)*(-x-1+(1+102*x+5*x^2)^(1/2)) revogf] A022396 16.2286 [-(26+2*x+25*x^2)/(25*x+1)/(x^2-1+x) lgdogf] A022396 19.5323 [-(25*x+1)/(x^2+x-1) ogf] A022397 10.0953 [(29*f(x)+700)*(f(x)*x^2+f(x)*x-f(x)+26*x+1) ogf] A022397 10.8251 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=27} ogf] A022397 14.5641 [1/2/(26+x)*(-x-1+(1+106*x+5*x^2)^(1/2)) revogf] A022397 16.2286 [-(27+2*x+26*x^2)/(26*x+1)/(x^2-1+x) lgdogf] A022397 19.5323 [-(26*x+1)/(x^2+x-1) ogf] A022398 10.3542 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=28} ogf] A022398 14.5641 [1/2/(27+x)*(-x-1+(1+110*x+5*x^2)^(1/2)) revogf] A022398 16.2286 [-(28+2*x+27*x^2)/(27*x+1)/(x^2-1+x) lgdogf] A022398 18.6826 [-(27*x+1)/(x^2+x-1) ogf] A022398 9.65616 [(15*f(x)+377)*(f(x)*x^2+f(x)*x-f(x)+27*x+1) ogf] A022399 10.3977 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=29} ogf] A022399 14.6513 [1/2/(28+x)*(-x-1+(1+114*x+5*x^2)^(1/2)) revogf] A022399 16.3258 [-(29+2*x+28*x^2)/(28*x+1)/(x^2+x-1) lgdogf] A022399 18.7611 [-(28*x+1)/(x^2+x-1) ogf] A022399 9.69673 [(31*f(x)+810)*(f(x)*x^2+f(x)*x-f(x)+28*x+1) ogf] A022400 10.3977 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=30} ogf] A022400 14.6513 [1/2/(29+x)*(-x-1+(1+118*x+5*x^2)^(1/2)) revogf] A022400 16.3258 [-(30+2*x+29*x^2)/(29*x+1)/(x^2+x-1) lgdogf] A022400 18.7611 [-(29*x+1)/(x^2+x-1) ogf] A022400 9.80692 [(8*f(x)+217)*(f(x)*x^2+f(x)*x-f(x)+29*x+1) ogf] A022401 12.7915 [-(30*x+1)/(x^2+x-1) ogf] A022401 14.7385 [1/2/(30+x)*(-x-1+(1+122*x+5*x^2)^(1/2)) revogf] A022401 16.4229 [-(31+2*x+30*x^2)/(30*x+1)/(x^2-1+x) lgdogf] A022401 6.61132 [(33*f(x)+928)*(f(x)*x^2+f(x)*x-f(x)+30*x+1) ogf] A022401 7.08925 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=31} ogf] A022402 10.4412 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=32} ogf] A022402 14.7385 [1/2/(31+x)*(-x-1+(1+126*x+5*x^2)^(1/2)) revogf] A022402 16.4229 [-(32+2*x+31*x^2)/(31*x+1)/(x^2-1+x) lgdogf] A022402 18.8396 [-(31*x+1)/(x^2+x-1) ogf] A022402 9.73731 [(17*f(x)+495)*(f(x)*x^2+f(x)*x-f(x)+31*x+1) ogf] A022403 10.0345 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=3,a(2)=7} ogf] A022403 10.5898 [-(-3-2*x+x^4-6*x^3+11*x^2)/(x-1)/(x^2-3*x+3)/(x^2+x-1) lgdogf] A022403 17.7971 [(x^2-3*x+3)/(x-1)/(x^2+x-1) ogf] A022403 9.92892 [(15*f(x)+43)*(f(x)*x^3-2*f(x)*x-x^2+f(x)+3*x-3) ogf] A022406 14.5774 [-(7-6*x+3*x^4-2*x^3-3*x^2)/(x-1)/(x^2-1+x)/(3*x^2-x-3) lgdogf] A022406 15.1250 [-(3*x^2-x-3)/(x-1)/(x^2+x-1) ogf] A022406 8.43814 [(14*f(x)+99)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)-x-3) ogf] A022406 8.43815 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=7,a(2)=11} ogf] A022407 13.1680 [-(8-8*x+4*x^4-4*x^3-x^2)/(x-1)/(4*x^2-2*x-3)/(x^2+x-1) lgdogf] A022407 13.6847 [-(4*x^2-2*x-3)/(x-1)/(x^2+x-1) ogf] A022407 6.97395 [-(2691*f(x)+22135)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)-2*x-3) ogf] A022407 7.63464 [{-a(n+3)+2*a(n+2)-a(n),a(0)=3,a(1)=8,a(2)=12} ogf] A022408 10.3020 [-(9-10*x+5*x^4-6*x^3+x^2)/(x-1)/(5*x^2-3*x-3)/(x^2+x-1) lgdogf] A022408 16.9353 [-(5*x^2-3*x-3)/(x-1)/(x^2+x-1) ogf] A022408 8.79973 [-(471*f(x)+3964)*(f(x)*x^3-2*f(x)*x+5*x^2+f(x)-3*x-3) ogf] A022408 9.44813 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=9,a(2)=13} ogf] A022409 17.1427 [-(6*x^2-4*x-3)/(x-1)/(x^2+x-1) ogf] A022409 9.27105 [(457*f(x)+4272)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)-4*x-3) ogf] A022409 9.46420 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=10,a(2)=14} ogf] A022409 9.94673 [-(10-12*x+6*x^4-8*x^3+3*x^2)/(x-1)/(6*x^2-4*x-3)/(x^2+x-1) lgdogf] A022410 14.7398 [-(7*x^2-5*x-3)/(x-1)/(x^2+x-1) ogf] A022410 7.9715 [(395*f(x)+4071)*(f(x)*x^3-2*f(x)*x+7*x^2+f(x)-5*x-3) ogf] A022410 8.13757 [{-a(n+3)+2*a(n+2)-a(n),a(0)=3,a(1)=11,a(2)=15} ogf] A022410 9.77814 [-(11-14*x+7*x^4-10*x^3+5*x^2)/(x-1)/(7*x^2-5*x-3)/(x^2+x-1) lgdogf] A022411 17.2118 [-(8*x^2-6*x-3)/(x-1)/(x^2+x-1) ogf] A022411 9.12227 [(1263*f(x)+14243)*(f(x)*x^3-2*f(x)*x+8*x^2+f(x)-6*x-3) ogf] A022411 9.50235 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=12,a(2)=16} ogf] A022411 9.83634 [-(12-16*x+8*x^4-12*x^3+7*x^2)/(x-1)/(8*x^2-6*x-3)/(x^2-1+x) lgdogf] A022412 3.26632 [(703192654599087721*f(x)+10255924731888000)*(330*f(x)*x^4-481*f(x)*x^3+173*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A022412 9.15734 [1/(x-1)/(6*x-1)/(5*x-1)/(11*x-1) ogf] A022448 13.2668 [1/(x-1)/(6*x-1)/(5*x-1)/(12*x-1) ogf] A022448 5.08864 [(1526899588361*f(x)+20365344000)*(360*f(x)*x^4-522*f(x)*x^3+185*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A022448 8.36029 [-2*(-12+185*x+720*x^3-783*x^2)/(x-1)/(6*x-1)/(5*x-1)/(12*x-1) lgdogf] A022452 3.50574 [(74959516959952097*f(x)+1293239472896000)*(280*f(x)*x^4-411*f(x)*x^3+151*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A022452 8.71849 [-(-21+302*x+1120*x^3-1233*x^2)/(x-1)/(8*x-1)/(-1+7*x)/(5*x-1) lgdogf] A022452 9.70339 [1/(x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A022453 3.55738 [(126216784502207993*f(x)+1927642547431125)*(315*f(x)*x^4-458*f(x)*x^3+164*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A022453 9.05649 [-2*(-11+164*x-687*x^2+630*x^3)/(x-1)/(9*x-1)/(7*x-1)/(5*x-1) lgdogf] A022453 9.90984 [1/(x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A022454 3.80104 [(2668855192201*f(x)+36558531520)*(350*f(x)*x^4-505*f(x)*x^3+177*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A022454 8.90803 [-(-23+354*x-1515*x^2+1400*x^3)/(x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A022454 9.90984 [1/(x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A022455 3.36674 [(41901365158174411*f(x)+520291200380875)*(385*f(x)*x^4-552*f(x)*x^3+190*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A022455 8.59567 [-4*(-6+95*x+385*x^3-414*x^2)/(x-1)/(7*x-1)/(5*x-1)/(11*x-1) lgdogf] A022455 9.25852 [1/(x-1)/(7*x-1)/(5*x-1)/(11*x-1) ogf] A022456 3.31737 [(3667629740722625759*f(x)+41643587226528000)*(420*f(x)*x^4-599*f(x)*x^3+203*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A022456 8.40674 [-(-25+406*x+1680*x^3-1797*x^2)/(x-1)/(7*x-1)/(5*x-1)/(12*x-1) lgdogf] A022456 9.35971 [1/(x-1)/(7*x-1)/(5*x-1)/(12*x-1) ogf] A022469 13.8634 [1/(x-1)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A022469 4.91363 [(1259409615829321693*f(x)+16741216588032000)*(360*f(x)*x^4-517*f(x)*x^3+179*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A022469 8.90803 [-(-23+358*x-1551*x^2+1440*x^3)/(x-1)/(9*x-1)/(-1+8*x)/(5*x-1) lgdogf] A022521 5.78453 [-(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^5 ogf] A022521 8.78891 [-(31+236*x+x^4+56*x^3+276*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A022522 6.60064 [(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^6 ogf] A022522 9.44778 [-(63+889*x+x^5+119*x^4+1134*x^3+2114*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A022523 5.36154 [-(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^7 ogf] A022523 6.86381 [-(127+3102*x+x^6+246*x^5+14428*x^3+4173*x^4+13203*x^2)/(x-1)/(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1) lgdogf] A022524 4.63205 [(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^8 ogf] A022525 3.86161 [-(x^8+502*x^7+14608*x^6+88234*x^5+156190*x^4+88234*x^3+14608*x^2+502*x+1)/(x-1)^9 ogf] A022526 3.31183 [(x+1)*(x^8+1012*x^7+46828*x^6+408364*x^5+901990*x^4+408364*x^3+46828*x^2+1012*x+1)/(x-1)^10 ogf] A022558 4.98820 [{(8*n+20)*a(n+1)+(7*n-1)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A022558 5.83889 [f(x)^2*x^3+3*f(x)^2*x^2+3*f(x)^2*x+8*f(x)*x^2+f(x)^2-20*f(x)*x-f(x)+16*x ogf] A022565 3.57144 [(17337385439*f(x)+206689280)*(400*f(x)*x^4-570*f(x)*x^3+193*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A022565 7.99696 [-2*(-12+193*x+800*x^3-855*x^2)/(x-1)/(-1+8*x)/(5*x-1)/(10*x-1) lgdogf] A022565 9.05616 [1/(x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A022567 28.0552 [2/(-x^2+1) ogf_with_Euler_transform] A022567 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/12*Pi)*2^(3/4) A022568 32.6835 [3/(-x^2+1) ogf_with_Euler_transform] A022568 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*2^(5/8) A022569 30.4805 [4/(-x^2+1) ogf_with_Euler_transform] A022569 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/6*Pi)*2^(1/2) A022570 30.2746 [5/(-x^2+1) ogf_with_Euler_transform] A022570 99.9999 Evaluated at exp(-Pi) 1/2*exp(5/24*Pi)*2^(3/8) A022571 29.7917 [6/(-x^2+1) ogf_with_Euler_transform] A022571 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/4*Pi)*2^(1/4) A022572 30.2629 [7/(-x^2+1) ogf_with_Euler_transform] A022572 99.9999 Evaluated at exp(-Pi) 1/2*exp(7/24*Pi)*2^(1/8) A022573 30.4746 [8/(-x^2+1) ogf_with_Euler_transform] A022573 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/3*Pi) A022574 28.4997 [9/(-x^2+1) ogf_with_Euler_transform] A022574 99.9999 Evaluated at exp(-Pi) 1/4*exp(3/8*Pi)*2^(7/8) A022575 27.1629 [10/(-x^2+1) ogf_with_Euler_transform] A022575 99.9999 Evaluated at exp(-Pi) 1/4*exp(5/12*Pi)*2^(3/4) A022576 28.3976 [11/(-x^2+1) ogf_with_Euler_transform] A022576 99.9999 Evaluated at exp(-Pi) 1/4*exp(11/24*Pi)*2^(5/8) A022577 29.2955 [12/(-x^2+1) ogf_with_Euler_transform] A022577 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi)*2^(1/2) A022578 28.3237 [13/(-x^2+1) ogf_with_Euler_transform] A022578 99.9999 Evaluated at exp(-Pi) 1/4*exp(13/24*Pi)*2^(3/8) A022579 27.4653 [14/(-x^2+1) ogf_with_Euler_transform] A022579 99.9999 Evaluated at exp(-Pi) 1/4*exp(7/12*Pi)*2^(1/4) A022580 26.3906 [15/(-x^2+1) ogf_with_Euler_transform] A022580 99.9999 Evaluated at exp(-Pi) 1/4*exp(5/8*Pi)*2^(1/8) A022581 38.9317 [16/(-x^2+1) ogf_with_Euler_transform] A022581 99.9999 Evaluated at exp(-Pi) 1/4*exp(2/3*Pi) A022582 27.4766 [17/(-x^2+1) ogf_with_Euler_transform] A022582 99.9999 Evaluated at exp(-Pi) 1/8*exp(17/24*Pi)*2^(7/8) A022583 26.2875 [18/(-x^2+1) ogf_with_Euler_transform] A022583 99.9999 Evaluated at exp(-Pi) 1/8*exp(3/4*Pi)*2^(3/4) A022584 26.8240 [19/(-x^2+1) ogf_with_Euler_transform] A022584 99.9999 Evaluated at exp(-Pi) 1/8*exp(19/24*Pi)*2^(5/8) A022585 27.3605 [20/(-x^2+1) ogf_with_Euler_transform] A022585 99.9999 Evaluated at exp(-Pi) 1/8*exp(5/6*Pi)*2^(1/2) A022586 26.0600 [21/(-x^2+1) ogf_with_Euler_transform] A022586 99.9999 Evaluated at exp(-Pi) 1/8*exp(7/8*Pi)*2^(3/8) A022587 26.2719 [22/(-x^2+1) ogf_with_Euler_transform] A022587 99.9999 Evaluated at exp(-Pi) 1/8*exp(11/12*Pi)*2^(1/4) A022588 26.9075 [23/(-x^2+1) ogf_with_Euler_transform] A022588 99.9999 Evaluated at exp(-Pi) 1/8*exp(23/24*Pi)*2^(1/8) A022589 25.5020 [25/(-x^2+1) ogf_with_Euler_transform] A022589 99.9999 Evaluated at exp(-Pi) 1/16*exp(25/24*Pi)*2^(7/8) A022590 26.0246 [26/(-x^2+1) ogf_with_Euler_transform] A022590 99.9999 Evaluated at exp(-Pi) 1/16*exp(13/12*Pi)*2^(3/4) A022591 24.2131 [27/(-x^2+1) ogf_with_Euler_transform] A022591 99.9999 Evaluated at exp(-Pi) 1/16*exp(9/8*Pi)*2^(5/8) A022592 24.4192 [28/(-x^2+1) ogf_with_Euler_transform] A022592 99.9999 Evaluated at exp(-Pi) 1/16*exp(7/6*Pi)*2^(1/2) A022593 24.8314 [29/(-x^2+1) ogf_with_Euler_transform] A022593 99.9999 Evaluated at exp(-Pi) 1/16*exp(29/24*Pi)*2^(3/8) A022594 25.0374 [30/(-x^2+1) ogf_with_Euler_transform] A022594 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/4*Pi)*2^(1/4) A022595 25.2435 [31/(-x^2+1) ogf_with_Euler_transform] A022595 99.9999 Evaluated at exp(-Pi) 1/16*exp(31/24*Pi)*2^(1/8) A022596 25.6556 [32/(-x^2+1) ogf_with_Euler_transform] A022596 99.9999 Evaluated at exp(-Pi) 1/16*exp(4/3*Pi) A022597 29.0233 [2/(x^2-1) ogf_with_Euler_transform] A022597 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)*2^(1/4) A022598 20.9707 [3/(x^2-1) ogf_with_Euler_transform] A022598 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(3/8) A022599 25.1861 [4/(x^2-1) ogf_with_Euler_transform] A022599 99.9999 Evaluated at exp(-Pi) exp(-1/6*Pi)*2^(1/2) A022600 20.6173 [5/(x^2-1) ogf_with_Euler_transform] A022600 99.9999 Evaluated at exp(-Pi) exp(-5/24*Pi)*2^(5/8) A022601 24.8874 [6/(x^2-1) ogf_with_Euler_transform] A022601 99.9999 Evaluated at exp(-Pi) exp(-1/4*Pi)*2^(3/4) A022602 20.4072 [7/(x^2-1) ogf_with_Euler_transform] A022602 99.9999 Evaluated at exp(-Pi) exp(-7/24*Pi)*2^(7/8) A022604 19.3204 [9/(x^2-1) ogf_with_Euler_transform] A022604 99.9999 Evaluated at exp(-Pi) 2*exp(-3/8*Pi)*2^(1/8) A022605 19.8849 [10/(x^2-1) ogf_with_Euler_transform] A022605 99.9999 Evaluated at exp(-Pi) 2*exp(-5/12*Pi)*2^(1/4) A022606 19.3314 [11/(x^2-1) ogf_with_Euler_transform] A022606 99.9999 Evaluated at exp(-Pi) 2*exp(-11/24*Pi)*2^(3/8) A022608 18.2208 [13/(x^2-1) ogf_with_Euler_transform] A022608 99.9999 Evaluated at exp(-Pi) 2*exp(-13/24*Pi)*2^(5/8) A022609 18.7505 [14/(x^2-1) ogf_with_Euler_transform] A022609 99.9999 Evaluated at exp(-Pi) 2*exp(-7/12*Pi)*2^(3/4) A022610 18.0813 [15/(x^2-1) ogf_with_Euler_transform] A022610 99.9999 Evaluated at exp(-Pi) 2*exp(-5/8*Pi)*2^(7/8) A022611 18.6039 [16/(x^2-1) ogf_with_Euler_transform] A022611 99.9999 Evaluated at exp(-Pi) 4*exp(-2/3*Pi) A022612 19.1265 [17/(x^2-1) ogf_with_Euler_transform] A022612 99.9999 Evaluated at exp(-Pi) 4*exp(-17/24*Pi)*2^(1/8) A022613 19.6491 [18/(x^2-1) ogf_with_Euler_transform] A022613 99.9999 Evaluated at exp(-Pi) 4*exp(-3/4*Pi)*2^(1/4) A022614 18.5462 [19/(x^2-1) ogf_with_Euler_transform] A022614 99.9999 Evaluated at exp(-Pi) 4*exp(-19/24*Pi)*2^(3/8) A022615 17.5567 [20/(x^2-1) ogf_with_Euler_transform] A022615 99.9999 Evaluated at exp(-Pi) 4*exp(-5/6*Pi)*2^(1/2) A022616 17.9627 [21/(x^2-1) ogf_with_Euler_transform] A022616 99.9999 Evaluated at exp(-Pi) 4*exp(-7/8*Pi)*2^(5/8) A022617 16.6762 [22/(x^2-1) ogf_with_Euler_transform] A022617 99.9999 Evaluated at exp(-Pi) 4*exp(-11/12*Pi)*2^(3/4) A022618 17.1755 [23/(x^2-1) ogf_with_Euler_transform] A022618 99.9999 Evaluated at exp(-Pi) 4*exp(-23/24*Pi)*2^(7/8) A022620 24.2591 [25/(x^2-1) ogf_with_Euler_transform] A022620 99.9999 Evaluated at exp(-Pi) 8*exp(-25/24*Pi)*2^(1/8) A022621 24.7888 [26/(x^2-1) ogf_with_Euler_transform] A022621 99.9999 Evaluated at exp(-Pi) 8*exp(-13/12*Pi)*2^(1/4) A022622 25.1066 [27/(x^2-1) ogf_with_Euler_transform] A022622 99.9999 Evaluated at exp(-Pi) 8*exp(-9/8*Pi)*2^(3/8) A022623 25.5303 [28/(x^2-1) ogf_with_Euler_transform] A022623 99.9999 Evaluated at exp(-Pi) 8*exp(-7/6*Pi)*2^(1/2) A022624 25.8481 [29/(x^2-1) ogf_with_Euler_transform] A022624 99.9999 Evaluated at exp(-Pi) 8*exp(-29/24*Pi)*2^(5/8) A022625 18.9730 [30/(x^2-1) ogf_with_Euler_transform] A022625 99.9999 Evaluated at exp(-Pi) 8*exp(-5/4*Pi)*2^(3/4) A022626 19.2725 [31/(x^2-1) ogf_with_Euler_transform] A022626 99.9999 Evaluated at exp(-Pi) 8*exp(-31/24*Pi)*2^(7/8) A022627 17.8629 [32/(x^2-1) ogf_with_Euler_transform] A022627 99.9999 Evaluated at exp(-Pi) 16*exp(-4/3*Pi) A022628 13.2133 [1/(x-1)/(5*x-1)/(11*x-1)/(8*x-1) ogf] A022628 4.6832 [(5017174066753108607*f(x)+54214541418752000)*(440*f(x)*x^4-623*f(x)*x^3+207*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A022628 8.36029 [-(-25+414*x+1760*x^3-1869*x^2)/(x-1)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A022725 3.56066 [(42954820467313*f(x)+424410624000)*(480*f(x)*x^4-676*f(x)*x^3+221*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A022725 8.31684 [-2*(-13+221*x+960*x^3-1014*x^2)/(x-1)/(5*x-1)/(12*x-1)/(8*x-1) lgdogf] A022725 9.41030 [1/(x-1)/(5*x-1)/(12*x-1)/(8*x-1) ogf] A022776 4.83340 [-(x^10+x^9+x^2+1)*(x^6+x^3+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A022777 4.11714 [-(x+1)*(x^15-x^14+3*x^13-x^12+2*x^11+2*x^9+x^7+x^6+x^5+x^4+2*x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^3 ogf] A022783 5.10260 [-(x^12-x^11+x^10+x^9+x^8+x^7+x^5+x^4+x^3+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A022786 5.70386 [-(x^20-x^19+x^17+x^14+x^11+x^9+x^6+x^3+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A022794 19.9449 [-x^17+x^16+x^2+2 ogf_with_Euler_transform] A022795 6.06457 [-(x+1)*(x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A022796 6.64182 [-(x^19+x^16+x^13+x^10+x^7+x^4+1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A022815 21.1440 [-(-7-4*x+6*x^2)/(x-1)/(2*x^2-2*x-1) lgdogf] A022815 3.79243 [{(-n-4)*a(n+4)+(4-n)*a(n+3)+(12+4*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=23,a(3)=55} ogf] A022815 9.55308 [(2*x^2-2*x-1)/(x-1)^5 ogf] A022816 13.8895 [-(11+11*x-22*x^2+6*x^3)/(x-1)/(2*x^3-7*x^2+5*x+1) lgdogf] A022816 7.23639 [(2*x^3-7*x^2+5*x+1)/(x-1)^6 ogf] A022817 10.9623 [-(-15-28*x+2*x^5-7*x^4-12*x^3+53*x^2)/(x-1)/(x^5-4*x^4+x^3+10*x^2-8*x-1) lgdogf] A022817 6.58614 [(x^5-4*x^4+x^3+10*x^2-8*x-1)/(x-1)^7 ogf] A022844 8.60192 [x*(x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A022845 3.52237 [(14946642543899*f(x)+157694014080)*(450*f(x)*x^4-635*f(x)*x^3+209*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A022845 8.22545 [-(-25+418*x+1800*x^3-1905*x^2)/(x-1)/(9*x-1)/(5*x-1)/(-1+10*x) lgdogf] A022845 9.30912 [1/(x-1)/(9*x-1)/(5*x-1)/(10*x-1) ogf] A022853 8.28832 [x*(3*x^6+3*x^5+3*x^4+4*x^3+3*x^2+3*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A022856 12.2951 [(-1+2*x-4*x^2+4*x^3-6*x^4+2*x^5)/(x-1)/(x^5-x^4+x^3+x^2-2*x+1) lgdogf] A022856 9.15502 [-(x^5-x^4+x^3+x^2-2*x+1)/(x-1)^3 ogf] A022933 7.43971 [-x*(x^11+x^10+x^9+x^7+x^6+x^4+x^3+x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A022958 14.7980 [-(3*x-2)/(x-1)^2 ogf] A022958 35.0822 [-(-1-x+(1-x)^(1/2))/(3+x) revogf] A022958 39.8661 [-(3*x-1)/(3*x-2)/(x-1) lgdogf] A022958 7.48216 [-(f(x)-2)*(f(x)*x^2-2*f(x)*x+f(x)+3*x-2) ogf] A022958 8.12088 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=1} ogf] A022959 10.744 [f(x)*x^2-2*f(x)*x+f(x)+4*x-3 ogf] A022959 15.0416 [-(4*x-3)/(x-1)^2 ogf] A022959 26.9365 [-1/2*(-3-2*x+(9-4*x)^(1/2))/(4+x) revogf] A022959 37.0377 [-2*(2*x-1)/(4*x-3)/(x-1) lgdogf] A022959 8.25454 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=2} ogf] A022960 14.9510 [-(5*x-4)/(x-1)^2 ogf] A022960 35.2299 [-(-2-x+(4-x)^(1/2))/(5+x) revogf] A022960 38.2934 [-(-3+5*x)/(5*x-4)/(x-1) lgdogf] A022960 7.47549 [-(2*f(x)-17)*(f(x)*x^2-2*f(x)*x+f(x)+5*x-4) ogf] A022960 8.20480 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=3} ogf] A022961 14.8604 [-(6*x-5)/(x-1)^2 ogf] A022961 25.6645 [-1/2*(-5-2*x+(25-4*x)^(1/2))/(6+x) revogf] A022961 34.9037 [-2*(-2+3*x)/(6*x-5)/(x-1) lgdogf] A022961 7.26865 [-(25*f(x)-253)*(f(x)*x^2-2*f(x)*x+f(x)+6*x-5) ogf] A022961 8.15509 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=4} ogf] A022962 15.1036 [-(7*x-6)/(x-1)^2 ogf] A022962 34.0145 [-(-3-x+(-x+9)^(1/2))/(7+x) revogf] A022962 38.4512 [-(-5+7*x)/(7*x-6)/(x-1) lgdogf] A022962 7.55179 [-(2*f(x)-37)*(f(x)*x^2-2*f(x)*x+f(x)+7*x-6) ogf] A022962 8.28854 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=5} ogf] A022963 15.0126 [-(8*x-7)/(x-1)^2 ogf] A022963 25.7703 [-1/2*(-7-2*x+(49-4*x)^(1/2))/(8+x) revogf] A022963 35.0476 [-2*(-3+4*x)/(8*x-7)/(x-1) lgdogf] A022963 7.5063 [-(f(x)-25)*(f(x)*x^2-2*f(x)*x+f(x)+8*x-7) ogf] A022963 8.23861 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=6} ogf] A022964 14.9216 [-(9*x-8)/(x-1)^2 ogf] A022964 33.3846 [-(-4-x+(16-x)^(1/2))/(9+x) revogf] A022964 37.7391 [-(-7+9*x)/(9*x-8)/(x-1) lgdogf] A022964 7.46081 [-(2*f(x)-65)*(f(x)*x^2-2*f(x)*x+f(x)+9*x-8) ogf] A022964 8.18868 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=7} ogf] A022965 14.8349 [-(10*x-9)/(x-1)^2 ogf] A022965 25.1350 [-1/2*(-9-2*x+(81-4*x)^(1/2))/(x+10) revogf] A022965 33.8356 [-2*(-4+5*x)/(10*x-9)/(x-1) lgdogf] A022965 7.49896 [-(f(x)-41)*(f(x)*x^2-2*f(x)*x+f(x)+10*x-9) ogf] A022965 8.32200 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=8} ogf] A022966 14.5192 [-(11*x-10)/(x-1)^2 ogf] A022966 32.4302 [-(-5-x+(25-x)^(1/2))/(x+11) revogf] A022966 33.6775 [-(-9+11*x)/(11*x-10)/(x-1) lgdogf] A022966 7.33769 [-(2*f(x)-101)*(f(x)*x^2-2*f(x)*x+f(x)+11*x-10) ogf] A022966 8.22173 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=9} ogf] A022967 14.5192 [-(12*x-11)/(x-1)^2 ogf] A022967 23.5542 [-1/2*(-11-2*x+(121-4*x)^(1/2))/(x+12) revogf] A022967 32.2779 [-2*(-5+6*x)/(12*x-11)/(x-1) lgdogf] A022967 7.41745 [-(f(x)-61)*(f(x)*x^2-2*f(x)*x+f(x)+12*x-11) ogf] A022967 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=10} ogf] A022968 14.5192 [-(13*x-12)/(x-1)^2 ogf] A022968 32.1257 [-(-11+13*x)/(13*x-12)/(x-1) lgdogf] A022968 32.1257 [-(-6-x+(36-x)^(1/2))/(13+x) revogf] A022968 7.33769 [-(2*f(x)-145)*(f(x)*x^2-2*f(x)*x+f(x)+13*x-12) ogf] A022968 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=11} ogf] A022969 14.5192 [-(14*x-13)/(x-1)^2 ogf] A022969 23.3320 [-1/2*(-13-2*x+(169-4*x)^(1/2))/(14+x) revogf] A022969 31.9734 [-2*(-6+7*x)/(14*x-13)/(x-1) lgdogf] A022969 7.41745 [-(f(x)-85)*(f(x)*x^2-2*f(x)*x+f(x)+14*x-13) ogf] A022969 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=13,a(1)=12} ogf] A022970 14.5192 [-(15*x-14)/(x-1)^2 ogf] A022970 31.8212 [-(-13+15*x)/(15*x-14)/(x-1) lgdogf] A022970 31.8212 [-(-7-x+(49-x)^(1/2))/(15+x) revogf] A022970 7.33769 [-(2*f(x)-197)*(f(x)*x^2-2*f(x)*x+f(x)+15*x-14) ogf] A022970 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=14,a(1)=13} ogf] A022971 14.5192 [-(16*x-15)/(x-1)^2 ogf] A022971 23.1098 [-1/2*(-15-2*x+(225-4*x)^(1/2))/(16+x) revogf] A022971 31.6689 [-2*(-7+8*x)/(16*x-15)/(x-1) lgdogf] A022971 7.33769 [-(f(x)-113)*(f(x)*x^2-2*f(x)*x+f(x)+16*x-15) ogf] A022971 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15,a(1)=14} ogf] A022972 14.5192 [-(17*x-16)/(x-1)^2 ogf] A022972 30.3911 [-(-8-x+(-x+64)^(1/2))/(17+x) revogf] A022972 31.5167 [-(-15+17*x)/(17*x-16)/(x-1) lgdogf] A022972 7.33769 [-(2*f(x)-257)*(f(x)*x^2-2*f(x)*x+f(x)+17*x-16) ogf] A022972 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=16,a(1)=15} ogf] A022973 14.5192 [-(18*x-17)/(x-1)^2 ogf] A022973 22.8875 [-1/2*(-17-2*x+(289-4*x)^(1/2))/(18+x) revogf] A022973 31.3644 [-2*(-8+9*x)/(18*x-17)/(x-1) lgdogf] A022973 7.33769 [-(f(x)-145)*(f(x)*x^2-2*f(x)*x+f(x)+18*x-17) ogf] A022973 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=17,a(1)=16} ogf] A022974 14.5192 [-(19*x-18)/(x-1)^2 ogf] A022974 31.2122 [-(-17+19*x)/(19*x-18)/(x-1) lgdogf] A022974 31.2122 [-(-9-x+(81-x)^(1/2))/(19+x) revogf] A022974 7.33769 [-(2*f(x)-325)*(f(x)*x^2-2*f(x)*x+f(x)+19*x-18) ogf] A022974 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=18,a(1)=17} ogf] A022975 14.5192 [-(20*x-19)/(x-1)^2 ogf] A022975 22.6653 [-1/2*(-19-2*x+(361-4*x)^(1/2))/(20+x) revogf] A022975 29.9506 [-2*(-9+10*x)/(20*x-19)/(x-1) lgdogf] A022975 7.33769 [-(f(x)-181)*(f(x)*x^2-2*f(x)*x+f(x)+20*x-19) ogf] A022975 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=19,a(1)=18} ogf] A022976 14.5192 [-(21*x-20)/(x-1)^2 ogf] A022976 28.7761 [-(-10-x+(100-x)^(1/2))/(21+x) revogf] A022976 30.9077 [-(-19+21*x)/(21*x-20)/(x-1) lgdogf] A022976 7.33769 [-(2*f(x)-401)*(f(x)*x^2-2*f(x)*x+f(x)+21*x-20) ogf] A022976 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=20,a(1)=19} ogf] A022977 14.5192 [-(22*x-21)/(x-1)^2 ogf] A022977 22.4431 [-1/2*(-21-2*x+(441-4*x)^(1/2))/(22+x) revogf] A022977 28.6343 [-2*(-10+11*x)/(22*x-21)/(x-1) lgdogf] A022977 7.33769 [-(f(x)-221)*(f(x)*x^2-2*f(x)*x+f(x)+22*x-21) ogf] A022977 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=21,a(1)=20} ogf] A022978 14.5192 [-(23*x-22)/(x-1)^2 ogf] A022978 28.4926 [-(-11-x+(121-x)^(1/2))/(23+x) revogf] A022978 30.6031 [-(-21+23*x)/(23*x-22)/(x-1) lgdogf] A022978 7.33769 [-(2*f(x)-485)*(f(x)*x^2-2*f(x)*x+f(x)+23*x-22) ogf] A022978 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=22,a(1)=21} ogf] A022979 14.5192 [-(24*x-23)/(x-1)^2 ogf] A022979 22.2209 [-1/2*(-23-2*x+(529-4*x)^(1/2))/(24+x) revogf] A022979 29.3634 [-2*(12*x-11)/(24*x-23)/(x-1) lgdogf] A022979 7.33769 [-(f(x)-265)*(f(x)*x^2-2*f(x)*x+f(x)+24*x-23) ogf] A022979 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=23,a(1)=22} ogf] A022980 14.5192 [-(25*x-24)/(x-1)^2 ogf] A022980 28.2091 [-(-12-x+(144-x)^(1/2))/(25+x) revogf] A022980 30.2986 [-(-23+25*x)/(25*x-24)/(x-1) lgdogf] A022980 7.33769 [-(2*f(x)-577)*(f(x)*x^2-2*f(x)*x+f(x)+25*x-24) ogf] A022980 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=24,a(1)=23} ogf] A022981 14.5192 [-(26*x-25)/(x-1)^2 ogf] A022981 21.9987 [-1/2*(-25-2*x+(625-4*x)^(1/2))/(26+x) revogf] A022981 28.0673 [-2*(-12+13*x)/(26*x-25)/(x-1) lgdogf] A022981 7.33769 [-(f(x)-313)*(f(x)*x^2-2*f(x)*x+f(x)+26*x-25) ogf] A022981 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=25,a(1)=24} ogf] A022982 14.5192 [-(27*x-26)/(x-1)^2 ogf] A022982 27.9256 [-(-13-x+(169-x)^(1/2))/(27+x) revogf] A022982 29.9941 [-(-25+27*x)/(27*x-26)/(x-1) lgdogf] A022982 7.33769 [-(2*f(x)-677)*(f(x)*x^2-2*f(x)*x+f(x)+27*x-26) ogf] A022982 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=26,a(1)=25} ogf] A022983 14.5192 [-(28*x-27)/(x-1)^2 ogf] A022983 21.7765 [-1/2*(-27-2*x+(729-4*x)^(1/2))/(28+x) revogf] A022983 27.7838 [-2*(-13+14*x)/(28*x-27)/(x-1) lgdogf] A022983 7.33769 [-(f(x)-365)*(f(x)*x^2-2*f(x)*x+f(x)+28*x-27) ogf] A022983 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=27,a(1)=26} ogf] A022984 14.5192 [-(29*x-28)/(x-1)^2 ogf] A022984 27.6421 [-(-14-x+(196-x)^(1/2))/(29+x) revogf] A022984 29.6896 [-(-27+29*x)/(29*x-28)/(x-1) lgdogf] A022984 7.33769 [-(2*f(x)-785)*(f(x)*x^2-2*f(x)*x+f(x)+29*x-28) ogf] A022984 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=28,a(1)=27} ogf] A022985 14.5192 [-(30*x-29)/(x-1)^2 ogf] A022985 21.5543 [-1/2*(-29-2*x+(841-4*x)^(1/2))/(30+x) revogf] A022985 27.5003 [-2*(-14+15*x)/(30*x-29)/(x-1) lgdogf] A022985 7.33769 [-(f(x)-421)*(f(x)*x^2-2*f(x)*x+f(x)+30*x-29) ogf] A022985 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=29,a(1)=28} ogf] A022986 14.5192 [-(31*x-30)/(x-1)^2 ogf] A022986 27.3585 [-(-15-x+(225-x)^(1/2))/(31+x) revogf] A022986 29.3851 [-(-29+31*x)/(31*x-30)/(x-1) lgdogf] A022986 7.33769 [-(2*f(x)-901)*(f(x)*x^2-2*f(x)*x+f(x)+31*x-30) ogf] A022986 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=30,a(1)=29} ogf] A022987 14.5192 [-(32*x-31)/(x-1)^2 ogf] A022987 21.3321 [-1/2*(-31-2*x+(961-4*x)^(1/2))/(x+32) revogf] A022987 27.2168 [-2*(-15+16*x)/(32*x-31)/(x-1) lgdogf] A022987 7.33769 [-(f(x)-481)*(f(x)*x^2-2*f(x)*x+f(x)+32*x-31) ogf] A022987 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=31,a(1)=30} ogf] A022988 14.5192 [-(33*x-32)/(x-1)^2 ogf] A022988 27.0750 [-(-16-x+(256-x)^(1/2))/(33+x) revogf] A022988 29.0806 [-(-31+33*x)/(33*x-32)/(x-1) lgdogf] A022988 7.25963 [-(2*f(x)-1025)*(f(x)*x^2-2*f(x)*x+f(x)+33*x-32) ogf] A022988 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=32,a(1)=31} ogf] A022989 14.5192 [-(34*x-33)/(x-1)^2 ogf] A022989 20.5543 [-1/2*(-33-2*x+(1089-4*x)^(1/2))/(34+x) revogf] A022989 26.0355 [-2*(-16+17*x)/(34*x-33)/(-1+x) lgdogf] A022989 7.33769 [-(f(x)-545)*(f(x)*x^2-2*f(x)*x+f(x)+34*x-33) ogf] A022989 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=33,a(1)=32} ogf] A022990 14.5192 [-(35*x-34)/(x-1)^2 ogf] A022990 26.7915 [-(-17-x+(289-x)^(1/2))/(35+x) revogf] A022990 27.7484 [-(-33+35*x)/(35*x-34)/(-1+x) lgdogf] A022990 7.25963 [-(2*f(x)-1157)*(f(x)*x^2-2*f(x)*x+f(x)+35*x-34) ogf] A022990 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=34,a(1)=33} ogf] A022991 14.5192 [-(36*x-35)/(x-1)^2 ogf] A022991 20.3380 [-1/2*(-35-2*x+(1225-4*x)^(1/2))/(36+x) revogf] A022991 26.6498 [-2*(-17+18*x)/(36*x-35)/(x-1) lgdogf] A022991 7.33769 [-(f(x)-613)*(f(x)*x^2-2*f(x)*x+f(x)+36*x-35) ogf] A022991 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=35,a(1)=34} ogf] A022992 14.5192 [-(37*x-36)/(x-1)^2 ogf] A022992 26.5080 [-(-18-x+(324-x)^(1/2))/(37+x) revogf] A022992 28.4716 [-(-35+37*x)/(37*x-36)/(x-1) lgdogf] A022992 7.25963 [-(2*f(x)-1297)*(f(x)*x^2-2*f(x)*x+f(x)+37*x-36) ogf] A022992 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=36,a(1)=35} ogf] A022993 14.5192 [-(38*x-37)/(x-1)^2 ogf] A022993 20.1216 [-1/2*(-37-2*x+(1369-4*x)^(1/2))/(38+x) revogf] A022993 26.3663 [-2*(-18+19*x)/(38*x-37)/(x-1) lgdogf] A022993 7.33769 [-(f(x)-685)*(f(x)*x^2-2*f(x)*x+f(x)+38*x-37) ogf] A022993 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=37,a(1)=36} ogf] A022994 14.5192 [-(39*x-38)/(x-1)^2 ogf] A022994 26.2245 [-(-19-x+(361-x)^(1/2))/(39+x) revogf] A022994 7.25963 [-(2*f(x)-1445)*(f(x)*x^2-2*f(x)*x+f(x)+39*x-38) ogf] A022994 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=38,a(1)=37} ogf] A022995 14.5192 [-(40*x-39)/(x-1)^2 ogf] A022995 19.9053 [-1/2*(-39-2*x+(1521-4*x)^(1/2))/(40+x) revogf] A022995 26.0828 [-2*(-19+20*x)/(40*x-39)/(x-1) lgdogf] A022995 7.33769 [-(f(x)-761)*(f(x)*x^2-2*f(x)*x+f(x)+40*x-39) ogf] A022995 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=39,a(1)=38} ogf] A022996 14.5192 [-(41*x-40)/(x-1)^2 ogf] A022996 25.9410 [-(-20-x+(400-x)^(1/2))/(41+x) revogf] A022996 27.8626 [-(-39+41*x)/(41*x-40)/(x-1) lgdogf] A022996 7.25963 [-(2*f(x)-1601)*(f(x)*x^2-2*f(x)*x+f(x)+41*x-40) ogf] A022996 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=40,a(1)=39} ogf] A022997 4.37711 [{(2*n^2+19*n+45)*a(n+1)+(-2*n^2-7*n-5)*a(n+3),a(0)=0,a(1)=15,a(2)=28} ogf] A022997 5.62771 [x*(x^6+5*x^4+20*x^3+75*x^2+28*x+15)/(x-1)^4/(x+1)^4 ogf] A022997 6.24108 [-2*(14+135*x+13*x^5+x^7+50*x^4+235*x^3+128*x^2)/(x-1)/(x+1)/(x^6+5*x^4+20*x^3+75*x^2+28*x+15) lgdogf] A022998 14.3187 [x*(x^2+4*x+1)/(x-1)^2/(x+1)^2 ogf] A022998 19.5632 [-2*(2+3*x+x^3+6*x^2)/(x-1)/(x+1)/(1+x^2+4*x) lgdogf] A022998 7.59512 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A022998 8.56312 [-(8*f(x)+13)*(f(x)*x^4-2*f(x)*x^2-x^3-4*x^2+f(x)-x) ogf] A023000 10.114 [-7*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A023000 15.4630 [-1/14*(-1-8*x+(1+16*x+36*x^2)^(1/2))/x revogf] A023000 18.0826 [x/(7*x-1)/(x-1) ogf] A023000 23.5037 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A023000 7.36699 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A023001 10.63 [-8*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A023001 16.2641 [-1/16*(-1-9*x+(1+18*x+49*x^2)^(1/2))/x revogf] A023001 19.0052 [x/(8*x-1)/(x-1) ogf] A023001 24.7215 [-(-9+16*x)/(-1+8*x)/(x-1) lgdogf] A023001 7.74285 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A023003 31.4689 [4/(-x+1) ogf_with_Euler_transform] A023003 99.9999 Evaluated at exp(-Pi) 2*exp(-1/6*Pi)/Pi*2^(1/2)*GAMMA(3/4)^4 A023004 32.0048 [5/(-x+1) ogf_with_Euler_transform] A023004 99.9999 Evaluated at exp(-Pi) 2*exp(-5/24*Pi)/Pi^(5/4)*2^(7/8)*GAMMA(3/4)^5 A023005 30.4404 [6/(-x+1) ogf_with_Euler_transform] A023005 99.9999 Evaluated at exp(-Pi) 4*exp(-1/4*Pi)/Pi^(3/2)*2^(1/4)*GAMMA(3/4)^6 A023006 38.8163 [7/(-x+1) ogf_with_Euler_transform] A023006 99.9999 Evaluated at exp(-Pi) 4*exp(-7/24*Pi)/Pi^(7/4)*2^(5/8)*GAMMA(3/4)^7 A023007 29.9262 [8/(-x+1) ogf_with_Euler_transform] A023007 99.9999 Evaluated at exp(-Pi) 8*exp(-1/3*Pi)/Pi^2*GAMMA(3/4)^8 A023008 29.3229 [9/(-x+1) ogf_with_Euler_transform] A023008 99.9999 Evaluated at exp(-Pi) 8*exp(-3/8*Pi)/Pi^(9/4)*2^(3/8)*GAMMA(3/4)^9 A023009 29.0723 [10/(-x+1) ogf_with_Euler_transform] A023009 99.9999 Evaluated at exp(-Pi) 8*exp(-5/12*Pi)/Pi^(5/2)*2^(3/4)*GAMMA(3/4)^10 A023010 28.1033 [11/(-x+1) ogf_with_Euler_transform] A023010 99.9999 Evaluated at exp(-Pi) 16*exp(-11/24*Pi)/Pi^(11/4)*2^(1/8)*GAMMA(3/4)^11 A023011 27.6246 [13/(-x+1) ogf_with_Euler_transform] A023011 99.9999 Evaluated at exp(-Pi) 16*exp(-13/24*Pi)/Pi^(13/4)*2^(7/8)*GAMMA(3/4)^13 A023012 24.2528 [14/(-x+1) ogf_with_Euler_transform] A023012 99.9999 Evaluated at exp(-Pi) 32*exp(-7/12*Pi)/Pi^(7/2)*2^(1/4)*GAMMA(3/4)^14 A023013 24.7283 [15/(-x+1) ogf_with_Euler_transform] A023013 99.9999 Evaluated at exp(-Pi) 32*exp(-5/8*Pi)/Pi^(15/4)*2^(5/8)*GAMMA(3/4)^15 A023014 27.4958 [16/(-x+1) ogf_with_Euler_transform] A023014 99.9999 Evaluated at exp(-Pi) 64*exp(-2/3*Pi)/Pi^4*GAMMA(3/4)^16 A023015 27.9782 [17/(-x+1) ogf_with_Euler_transform] A023015 99.9999 Evaluated at exp(-Pi) 64*exp(-17/24*Pi)/Pi^(17/4)*2^(3/8)*GAMMA(3/4)^17 A023016 24.0049 [18/(-x+1) ogf_with_Euler_transform] A023016 99.9999 Evaluated at exp(-Pi) 64*exp(-3/4*Pi)/Pi^(9/2)*2^(3/4)*GAMMA(3/4)^18 A023017 24.7075 [19/(-x+1) ogf_with_Euler_transform] A023017 99.9999 Evaluated at exp(-Pi) 128*exp(-19/24*Pi)/Pi^(19/4)*2^(1/8)*GAMMA(3/4)^19 A023018 24.7075 [20/(-x+1) ogf_with_Euler_transform] A023018 99.9999 Evaluated at exp(-Pi) 128*exp(-5/6*Pi)/Pi^5*2^(1/2)*GAMMA(3/4)^20 A023019 23.2745 [21/(-x+1) ogf_with_Euler_transform] A023019 99.9999 Evaluated at exp(-Pi) 128*exp(-7/8*Pi)/Pi^(21/4)*2^(7/8)*GAMMA(3/4)^21 A023020 23.3897 [22/(-x+1) ogf_with_Euler_transform] A023020 99.9999 Evaluated at exp(-Pi) 256*exp(-11/12*Pi)/Pi^(11/2)*2^(1/4)*GAMMA(3/4)^22 A023021 28.6516 [23/(-x+1) ogf_with_Euler_transform] A023021 99.9999 Evaluated at exp(-Pi) 256*exp(-23/24*Pi)/Pi^(23/4)*2^(5/8)*GAMMA(3/4)^23 A023038 15.1089 [-(6*x-1)/(x^2-12*x+1) ogf] A023038 7.55446 [-(35*f(x)-17)*(f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A023038 8.37360 [{a(n+2)-12*a(n+1)+a(n),a(0)=1,a(1)=6} ogf] A023039 11.9488 [-(9*x-1)/(x^2-18*x+1) ogf] A023039 15.3803 [-(9-2*x+9*x^2)/(9*x-1)/(1-18*x+x^2) lgdogf] A023039 5.91014 [-(160*f(x)-79)*(f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A023039 6.62220 [{a(n+2)-18*a(n+1)+a(n),a(0)=1,a(1)=9} ogf] A023043 5.39984 [-(x^6+15*x^4+40*x^3+135*x^2+264*x+265)/(x-1)^7 egf] A023053 13.0265 [1/2/(x-1)^2*(-x+1+((5*x-1)*(x-1))^(1/2))*x revogf] A023053 6.29235 [f(x)^3*x^3+f(x)^3*x^2-f(x)^3*x-3*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A023054 26.6894 [-x^4+x^2+2*x+1 ogf_with_Euler_transform] A023054 9.11729 [-(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A023054 9.86364 [-(1+7*x+13*x^5+3*x^7+7*x^6+19*x^4+24*x^3+16*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A023105 11.5412 [-(x^3+3*x^2-1)/(x-1)/(2*x-1)/(x+1) ogf] A023105 12.2660 [-(2-4*x+7*x^4+4*x^3-3*x^2)/(x-1)/(2*x-1)/(x+1)/(x^3+3*x^2-1) lgdogf] A023105 5.68317 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=3} ogf] A023105 6.30402 [-(f(x)-3)*(2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+3*x^2+f(x)-1) ogf] A023111 5.23502 [{a(n+3)-1443*a(n+2)+1443*a(n+1)-a(n),a(0)=0,a(1)=36,a(2)=51984} ogf] A023111 5.45874 [(361*f(x)+9)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x+36*x^2-f(x)+36*x) ogf] A023111 9.82574 [-36*x*(x+1)/(x-1)/(x^2-1442*x+1) ogf] A023112 3.53884 [{a(n+3)-1443*a(n+2)+1443*a(n+1)-a(n),a(0)=0,a(1)=144,a(2)=207936} ogf] A023112 6.54949 [-144*x*(x+1)/(x-1)/(x^2-1442*x+1) ogf] A023113 5.04802 [-(x^4+24*x^3+382*x^2+24*x+1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A023114 5.00807 [-4*x*(x+1)*(x^4+2*x^3+75*x^2+2*x+1)/(x-1)/(x^6-1442*x^3+1) ogf] A023358 10.4407 [-(1+8*x^7+27*x^26)/(x^2+1)/(x^25-x^23+x^21-x^19+x^17-x^15+x^13-x^11+x^9-x^7+x^6+x^5-x^4-x^3+x^2+x-1) lgdogf] A023358 25.2533 [-1/(x^2+1)/(x^25-x^23+x^21-x^19+x^17-x^15+x^13-x^11+x^9-x^7+x^6+x^5-x^4-x^3+x^2+x-1) ogf] A023421 5.67176 [-(f(x)-1)*(-f(x)*x^4+f(x)^2*x^2-f(x)*x^3-f(x)*x^2+f(x)*x-f(x)+1) ogf] A023424 7.89905 [-(3+5*x^8+8*x^7+8*x^6+8*x+20*x^3-5*x^4+4*x^5+14*x^2)/(5*x^4+4*x^3+3*x^2+2*x+1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A023424 8.64527 [-(5*x^4+4*x^3+3*x^2+2*x+1)/(x^5+x^4+x^3+x^2+x-1) ogf] A023425 9.86322 [-f(x)*x^3-f(x)*x^2+x^3+f(x)^2+x^2-3*f(x)+x+2 ogf] A023426 12.0868 [-f(x)^2*x^4-f(x)*x+f(x)-1 ogf] A023427 8.95871 [f(x)*(f(x)^2*x^4-f(x)*x^4+f(x)*x-f(x)+1) ogf] A023431 11.6748 [f(x)^2*x^3+f(x)*x-f(x)+1 ogf] A023431 17.7586 [1/2/x^2*(-1-x+(1+x^2+2*x+4*x^3)^(1/2)) revogf] A023432 10.4107 [f(x)^2*x^3-f(x)*x^3+f(x)*x-f(x)+1 ogf] A023433 6.52361 [-(f(x)-1)*(f(x)^2*x^3-f(x)*x^4-f(x)*x^3+f(x)*x-f(x)+1) ogf] A023434 10.5004 [-f(x)*x^4+f(x)*x^2+f(x)*x-f(x)+x ogf] A023434 19.7203 [x/(x-1)/(x^3+x^2-1) ogf] A023434 24.1509 [-(-1-2*x+4*x^3)/(x-1)/(x^3+x^2-1) lgdogf] A023435 15.9076 [-(-1-2*x+5*x^4)/(x-1)/(x+1)/(x^3+x-1) lgdogf] A023435 18.7528 [x/(x-1)/(x+1)/(x^3+x-1) ogf] A023436 14.1227 [x/(x-1)/(x^5+x^4+x^3+x^2-1) ogf] A023436 15.2363 [-(-1-2*x+6*x^5)/(x-1)/(x^5+x^4+x^3+x^2-1) lgdogf] A023437 13.7766 [x/(x-1)/(x+1)/(x^5+x^3+x-1) ogf] A023437 14.8585 [-(-1+7*x^6-2*x)/(x-1)/(x+1)/(x^5+x^3+x-1) lgdogf] A023438 12.4326 [-(-1+8*x^7-2*x)/(x-1)/(x^7+x^6+x^5+x^4+x^3+x^2-1) lgdogf] A023438 13.7766 [x/(x-1)/(x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A023439 13.6970 [-(-1+9*x^8-2*x)/(x-1)/(x+1)/(x^7+x^5+x^3+x-1) lgdogf] A023439 13.9359 [x/(x-1)/(x+1)/(x^7+x^5+x^3+x-1) ogf] A023440 10.6888 [-(-1+10*x^9-2*x)/(x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-1) lgdogf] A023440 13.7109 [x/(x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A023441 12.1559 [-(-1-2*x+11*x^10)/(x-1)/(x+1)/(x^9+x^7+x^5+x^3+x-1) lgdogf] A023441 13.7109 [x/(x-1)/(x+1)/(x^9+x^7+x^5+x^3+x-1) ogf] A023442 13.7109 [x/(x-1)/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A023442 8.98477 [-(-1-2*x+12*x^11)/(x-1)/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-1) lgdogf] A023443 11.5133 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=0} ogf] A023443 14.8028 [f(x)*x^2-2*f(x)*x+f(x)-2*x+1 ogf] A023443 20.7240 [(2*x-1)/(x-1)^2 ogf] A023443 27.9983 [1/2/(-2+x)*(-1+2*x+(1+4*x)^(1/2)) revogf] A023443 51.3302 [-2*x/(2*x-1)/(x-1) lgdogf] A023444 14.7980 [(3*x-2)/(x-1)^2 ogf] A023444 26.4741 [(-1+x+(1+x)^(1/2))/(-3+x) revogf] A023444 28.7762 [-(-1+3*x)/(3*x-2)/(x-1) lgdogf] A023444 7.48216 [-(f(x)+2)*(f(x)*x^2-2*f(x)*x+f(x)-3*x+2) ogf] A023444 8.12088 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-2,a(1)=-1} ogf] A023445 10.744 [f(x)*x^2-2*f(x)*x+f(x)-4*x+3 ogf] A023445 15.0416 [(4*x-3)/(x-1)^2 ogf] A023445 20.5113 [1/2/(-4+x)*(-3+2*x+(9+4*x)^(1/2)) revogf] A023445 28.2030 [-2*(2*x-1)/(4*x-3)/(x-1) lgdogf] A023445 8.25454 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-3,a(1)=-2} ogf] A023446 14.9510 [(5*x-4)/(x-1)^2 ogf] A023446 27.0749 [(-2+x+(4+x)^(1/2))/(-5+x) revogf] A023446 29.4292 [-(-3+5*x)/(5*x-4)/(x-1) lgdogf] A023446 7.47549 [-(2*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-5*x+4) ogf] A023446 8.20480 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-4,a(1)=-3} ogf] A023447 14.8604 [(6*x-5)/(x-1)^2 ogf] A023447 19.9080 [1/2/(-6+x)*(-5+2*x+(25+4*x)^(1/2)) revogf] A023447 28.2030 [-2*(3*x-2)/(6*x-5)/(x-1) lgdogf] A023447 7.26865 [-(25*f(x)+253)*(f(x)*x^2-2*f(x)*x+f(x)-6*x+5) ogf] A023447 8.15509 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-5,a(1)=-4} ogf] A023448 15.1036 [(7*x-6)/(x-1)^2 ogf] A023448 27.6777 [(-3+x+(9+x)^(1/2))/(-7+x) revogf] A023448 30.0845 [-(-5+7*x)/(7*x-6)/(x-1) lgdogf] A023448 7.90304 [(2*f(x)+37)*(f(x)*x^2-2*f(x)*x+f(x)-7*x+6) ogf] A023448 8.28854 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-6,a(1)=-5} ogf] A023449 15.0126 [(8*x-7)/(x-1)^2 ogf] A023449 20.3513 [1/2/(-8+x)*(-7+2*x+(49+4*x)^(1/2)) revogf] A023449 28.8310 [-2*(4*x-3)/(8*x-7)/(x-1) lgdogf] A023449 7.85543 [(f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)-8*x+7) ogf] A023449 8.23861 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-7,a(1)=-6} ogf] A023450 14.9216 [(9*x-8)/(x-1)^2 ogf] A023450 26.6132 [(-4+x+(16+x)^(1/2))/(-9+x) revogf] A023450 30.0845 [-(-7+9*x)/(9*x-8)/(x-1) lgdogf] A023450 7.80782 [(2*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-9*x+8) ogf] A023450 8.18868 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-8,a(1)=-7} ogf] A023451 14.8349 [(10*x-9)/(x-1)^2 ogf] A023451 20.2020 [1/2/(-10+x)*(-9+2*x+(81+4*x)^(1/2)) revogf] A023451 28.2828 [-2*(5*x-4)/(10*x-9)/(x-1) lgdogf] A023451 7.84374 [(f(x)+41)*(f(x)*x^2-2*f(x)*x+f(x)-10*x+9) ogf] A023451 8.32200 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-9,a(1)=-8} ogf] A023452 14.5192 [(11*x-10)/(x-1)^2 ogf] A023452 26.3400 [(-5+x+(25+x)^(1/2))/(-11+x) revogf] A023452 27.3531 [-(-9+11*x)/(11*x-10)/(x-1) lgdogf] A023452 7.66747 [(2*f(x)+101)*(f(x)*x^2-2*f(x)*x+f(x)-11*x+10) ogf] A023452 8.22173 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-10,a(1)=-9} ogf] A023453 14.5192 [(12*x-11)/(x-1)^2 ogf] A023453 19.3322 [1/2/(-12+x)*(-11+2*x+(121+4*x)^(1/2)) revogf] A023453 26.4923 [-2*(-5+6*x)/(12*x-11)/(x-1) lgdogf] A023453 7.7546 [(f(x)+61)*(f(x)*x^2-2*f(x)*x+f(x)-12*x+11) ogf] A023453 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-11,a(1)=-10} ogf] A023454 14.5192 [(13*x-12)/(x-1)^2 ogf] A023454 26.6445 [-(-11+13*x)/(13*x-12)/(x-1) lgdogf] A023454 26.6445 [(-6+x+(36+x)^(1/2))/(-13+x) revogf] A023454 7.66747 [(2*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-13*x+12) ogf] A023454 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-12,a(1)=-11} ogf] A023455 14.5192 [(14*x-13)/(x-1)^2 ogf] A023455 19.5544 [1/2/(-14+x)*(-13+2*x+(169+4*x)^(1/2)) revogf] A023455 26.7968 [-2*(-6+7*x)/(14*x-13)/(x-1) lgdogf] A023455 7.7546 [(f(x)+85)*(f(x)*x^2-2*f(x)*x+f(x)-14*x+13) ogf] A023455 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-13,a(1)=-12} ogf] A023456 14.5192 [(15*x-14)/(x-1)^2 ogf] A023456 26.9490 [-(-13+15*x)/(15*x-14)/(x-1) lgdogf] A023456 26.9490 [(-7+x+(49+x)^(1/2))/(-15+x) revogf] A023456 7.66747 [(2*f(x)+197)*(f(x)*x^2-2*f(x)*x+f(x)-15*x+14) ogf] A023456 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-14,a(1)=-13} ogf] A023457 14.5192 [(16*x-15)/(x-1)^2 ogf] A023457 19.7766 [1/2/(-16+x)*(-15+2*x+(225+4*x)^(1/2)) revogf] A023457 27.1013 [-2*(-7+8*x)/(16*x-15)/(x-1) lgdogf] A023457 7.66747 [(f(x)+113)*(f(x)*x^2-2*f(x)*x+f(x)-16*x+15) ogf] A023457 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-15,a(1)=-14} ogf] A023458 14.5192 [(17*x-16)/(x-1)^2 ogf] A023458 27.2535 [-(-15+17*x)/(17*x-16)/(x-1) lgdogf] A023458 27.2535 [(-8+x+(64+x)^(1/2))/(-17+x) revogf] A023458 7.66747 [(2*f(x)+257)*(f(x)*x^2-2*f(x)*x+f(x)-17*x+16) ogf] A023458 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-16,a(1)=-15} ogf] A023459 14.5192 [(18*x-17)/(x-1)^2 ogf] A023459 19.9988 [1/2/(-18+x)*(-17+2*x+(289+4*x)^(1/2)) revogf] A023459 28.4599 [-2*(9*x-8)/(18*x-17)/(x-1) lgdogf] A023459 7.66747 [(f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-18*x+17) ogf] A023459 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-17,a(1)=-16} ogf] A023460 14.5192 [(19*x-18)/(x-1)^2 ogf] A023460 27.5581 [-(-17+19*x)/(19*x-18)/(x-1) lgdogf] A023460 27.5581 [(-9+x+(81+x)^(1/2))/(-19+x) revogf] A023460 7.66747 [(2*f(x)+325)*(f(x)*x^2-2*f(x)*x+f(x)-19*x+18) ogf] A023460 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-18,a(1)=-17} ogf] A023461 14.5192 [(20*x-19)/(x-1)^2 ogf] A023461 20.2210 [1/2/(-20+x)*(-19+2*x+(361+4*x)^(1/2)) revogf] A023461 27.7103 [-2*(10*x-9)/(20*x-19)/(x-1) lgdogf] A023461 7.66747 [(f(x)+181)*(f(x)*x^2-2*f(x)*x+f(x)-20*x+19) ogf] A023461 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-19,a(1)=-18} ogf] A023462 14.5192 [(21*x-20)/(x-1)^2 ogf] A023462 25.9410 [(-10+x+(100+x)^(1/2))/(-21+x) revogf] A023462 27.8626 [-(-19+21*x)/(21*x-20)/(x-1) lgdogf] A023462 7.66747 [(2*f(x)+401)*(f(x)*x^2-2*f(x)*x+f(x)-21*x+20) ogf] A023462 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-20,a(1)=-19} ogf] A023463 14.5192 [(22*x-21)/(x-1)^2 ogf] A023463 20.4432 [1/2/(-22+x)*(-21+2*x+(441+4*x)^(1/2)) revogf] A023463 27.0143 [-2*(11*x-10)/(22*x-21)/(x-1) lgdogf] A023463 7.66747 [(f(x)+221)*(f(x)*x^2-2*f(x)*x+f(x)-22*x+21) ogf] A023463 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-21,a(1)=-20} ogf] A023464 14.5192 [(23*x-22)/(x-1)^2 ogf] A023464 26.2245 [(-11+x+(121+x)^(1/2))/(-23+x) revogf] A023464 28.1671 [-(-21+23*x)/(23*x-22)/(x-1) lgdogf] A023464 7.66747 [(2*f(x)+485)*(f(x)*x^2-2*f(x)*x+f(x)-23*x+22) ogf] A023464 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-22,a(1)=-21} ogf] A023465 14.5192 [(24*x-23)/(x-1)^2 ogf] A023465 20.6655 [1/2/(-24+x)*(-23+2*x+(529+4*x)^(1/2)) revogf] A023465 27.3079 [-2*(12*x-11)/(24*x-23)/(x-1) lgdogf] A023465 7.66747 [(f(x)+265)*(f(x)*x^2-2*f(x)*x+f(x)-24*x+23) ogf] A023465 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-23,a(1)=-22} ogf] A023466 14.5192 [(25*x-24)/(x-1)^2 ogf] A023466 26.5080 [(-12+x+(144+x)^(1/2))/(-25+x) revogf] A023466 28.4716 [-(-23+25*x)/(25*x-24)/(x-1) lgdogf] A023466 7.66747 [(2*f(x)+577)*(f(x)*x^2-2*f(x)*x+f(x)-25*x+24) ogf] A023466 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-24,a(1)=-23} ogf] A023467 14.5192 [(26*x-25)/(x-1)^2 ogf] A023467 20.8877 [1/2/(-26+x)*(-25+2*x+(625+4*x)^(1/2)) revogf] A023467 27.6016 [-2*(13*x-12)/(26*x-25)/(x-1) lgdogf] A023467 7.66747 [(f(x)+313)*(f(x)*x^2-2*f(x)*x+f(x)-26*x+25) ogf] A023467 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-25,a(1)=-24} ogf] A023468 14.5192 [(27*x-26)/(x-1)^2 ogf] A023468 26.7915 [(-13+x+(169+x)^(1/2))/(-27+x) revogf] A023468 28.7761 [-(-25+27*x)/(27*x-26)/(x-1) lgdogf] A023468 7.66747 [(2*f(x)+677)*(f(x)*x^2-2*f(x)*x+f(x)-27*x+26) ogf] A023468 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-26,a(1)=-25} ogf] A023469 14.5192 [(28*x-27)/(x-1)^2 ogf] A023469 21.1099 [1/2/(-28+x)*(-27+2*x+(729+4*x)^(1/2)) revogf] A023469 27.8952 [-2*(14*x-13)/(28*x-27)/(x-1) lgdogf] A023469 7.66747 [(f(x)+365)*(f(x)*x^2-2*f(x)*x+f(x)-28*x+27) ogf] A023469 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-27,a(1)=-26} ogf] A023470 14.5192 [(29*x-28)/(x-1)^2 ogf] A023470 27.0750 [(-14+x+(196+x)^(1/2))/(-29+x) revogf] A023470 29.0806 [-(-27+29*x)/(29*x-28)/(x-1) lgdogf] A023470 7.66747 [(2*f(x)+785)*(f(x)*x^2-2*f(x)*x+f(x)-29*x+28) ogf] A023470 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-28,a(1)=-27} ogf] A023471 14.5192 [(30*x-29)/(x-1)^2 ogf] A023471 21.3321 [1/2/(-30+x)*(-29+2*x+(841+4*x)^(1/2)) revogf] A023471 28.1888 [-2*(15*x-14)/(30*x-29)/(x-1) lgdogf] A023471 7.66747 [(f(x)+421)*(f(x)*x^2-2*f(x)*x+f(x)-30*x+29) ogf] A023471 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-29,a(1)=-28} ogf] A023472 14.5192 [(31*x-30)/(x-1)^2 ogf] A023472 27.3585 [(-15+x+(225+x)^(1/2))/(-31+x) revogf] A023472 29.3851 [-(-29+31*x)/(31*x-30)/(x-1) lgdogf] A023472 7.66747 [(2*f(x)+901)*(f(x)*x^2-2*f(x)*x+f(x)-31*x+30) ogf] A023472 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-30,a(1)=-29} ogf] A023473 14.5192 [(32*x-31)/(x-1)^2 ogf] A023473 21.5543 [1/2/(-32+x)*(-31+2*x+(961+4*x)^(1/2)) revogf] A023473 28.4825 [-2*(16*x-15)/(32*x-31)/(x-1) lgdogf] A023473 7.66747 [(f(x)+481)*(f(x)*x^2-2*f(x)*x+f(x)-32*x+31) ogf] A023473 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-31,a(1)=-30} ogf] A023474 14.5192 [(33*x-32)/(x-1)^2 ogf] A023474 27.6421 [(-16+x+(256+x)^(1/2))/(-33+x) revogf] A023474 29.6896 [-(-31+33*x)/(33*x-32)/(x-1) lgdogf] A023474 7.58228 [(2*f(x)+1025)*(f(x)*x^2-2*f(x)*x+f(x)-33*x+32) ogf] A023474 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-32,a(1)=-31} ogf] A023475 14.5192 [(34*x-33)/(x-1)^2 ogf] A023475 21.2034 [1/2/(-34+x)*(-33+2*x+(1089+4*x)^(1/2)) revogf] A023475 28.7761 [-2*(17*x-16)/(34*x-33)/(x-1) lgdogf] A023475 7.66747 [(f(x)+545)*(f(x)*x^2-2*f(x)*x+f(x)-34*x+33) ogf] A023475 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-33,a(1)=-32} ogf] A023476 14.5192 [(35*x-34)/(x-1)^2 ogf] A023476 27.9256 [(-17+x+(289+x)^(1/2))/(-35+x) revogf] A023476 29.9941 [-(-33+35*x)/(35*x-34)/(x-1) lgdogf] A023476 7.58228 [(2*f(x)+1157)*(f(x)*x^2-2*f(x)*x+f(x)-35*x+34) ogf] A023476 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-34,a(1)=-33} ogf] A023477 14.5192 [(36*x-35)/(x-1)^2 ogf] A023477 21.4198 [1/2/(-36+x)*(-35+2*x+(1225+4*x)^(1/2)) revogf] A023477 29.0697 [-2*(18*x-17)/(36*x-35)/(x-1) lgdogf] A023477 7.66747 [(f(x)+613)*(f(x)*x^2-2*f(x)*x+f(x)-36*x+35) ogf] A023477 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-35,a(1)=-34} ogf] A023478 14.5192 [(37*x-36)/(x-1)^2 ogf] A023478 28.2091 [(-18+x+(324+x)^(1/2))/(-37+x) revogf] A023478 30.2986 [-(-35+37*x)/(37*x-36)/(x-1) lgdogf] A023478 7.58228 [(2*f(x)+1297)*(f(x)*x^2-2*f(x)*x+f(x)-37*x+36) ogf] A023478 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-36,a(1)=-35} ogf] A023479 14.5192 [(38*x-37)/(x-1)^2 ogf] A023479 21.6362 [1/2/(-38+x)*(-37+2*x+(1369+4*x)^(1/2)) revogf] A023479 28.3508 [-2*(-18+19*x)/(38*x-37)/(x-1) lgdogf] A023479 7.66747 [(f(x)+685)*(f(x)*x^2-2*f(x)*x+f(x)-38*x+37) ogf] A023479 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-37,a(1)=-36} ogf] A023480 14.5192 [(39*x-38)/(x-1)^2 ogf] A023480 28.4926 [(-19+x+(361+x)^(1/2))/(-39+x) revogf] A023480 30.6031 [-(-37+39*x)/(39*x-38)/(x-1) lgdogf] A023480 7.58228 [(2*f(x)+1445)*(f(x)*x^2-2*f(x)*x+f(x)-39*x+38) ogf] A023480 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-38,a(1)=-37} ogf] A023481 14.5192 [(40*x-39)/(x-1)^2 ogf] A023481 21.8525 [1/2/(-40+x)*(-39+2*x+(1521+4*x)^(1/2)) revogf] A023481 28.6343 [-2*(-19+20*x)/(40*x-39)/(x-1) lgdogf] A023481 7.66747 [(f(x)+761)*(f(x)*x^2-2*f(x)*x+f(x)-40*x+39) ogf] A023481 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-39,a(1)=-38} ogf] A023482 14.5192 [(41*x-40)/(x-1)^2 ogf] A023482 28.7761 [(-20+x+(400+x)^(1/2))/(-41+x) revogf] A023482 30.9077 [-(-39+41*x)/(41*x-40)/(x-1) lgdogf] A023482 7.58228 [(2*f(x)+1601)*(f(x)*x^2-2*f(x)*x+f(x)-41*x+40) ogf] A023482 8.12386 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-40,a(1)=-39} ogf] A023484 6.04339 [-(x^10-2*x^8+x^7+x^6-x^4+6*x^3-6*x^2-6*x+5)/(x^2+x-1)/(x-1)^2 ogf] A023486 5.97538 [-(x^10-2*x^8+x^7+x^6-x^4+6*x^3-4*x^2-10*x+7)/(x^2+x-1)/(x-1)^2 ogf] A023490 5.45927 [-(x^15-2*x^13+x^12+x^9-2*x^7+2*x^6+3*x^3-6*x^2-2*x+3)/(x^2+x-1)/(x-1)^2 ogf] A023491 5.65524 [-(x^15-2*x^13+x^12+x^9-2*x^7+2*x^6+3*x^3-5*x^2-4*x+4)/(x^2+x-1)/(x-1)^2 ogf] A023493 5.44413 [-(x^15-2*x^13+x^12+x^9-2*x^7+2*x^6+3*x^3-4*x^2-6*x+5)/(x^2+x-1)/(x-1)^2 ogf] A023494 5.55523 [-(x^15-2*x^13+x^12+x^9-2*x^7+2*x^6+4*x^3-6*x^2-5*x+5)/(x^2+x-1)/(x-1)^2 ogf] A023537 13.1591 [-(2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A023537 17.3633 [-(-5-x+6*x^3+6*x^2)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A023537 4.33896 [{(-3*n-13)*a(n+1)-3*a(n+2)+(6*n+23)*a(n+3)+(-3*n-10)*a(n+4),a(0)=1,a(1)=5,a(2)=13,a(3)=28} ogf] A023537 6.32054 [(1965*f(x)+6328)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A023540 3.31737 [(2815969592407763311*f(x)+26927571563008875)*(495*f(x)*x^4-694*f(x)*x^3+224*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A023540 8.54685 [-2*(6*x-1)*(165*x^2-146*x+13)/(x-1)/(9*x-1)/(5*x-1)/(11*x-1) lgdogf] A023540 9.35971 [1/(x-1)/(9*x-1)/(5*x-1)/(11*x-1) ogf] A023545 10.8338 [(2*x-3)*(x-2)/(x-1)^4 ogf] A023545 20.3495 [-(17-17*x+4*x^2)/(x-1)/(x-2)/(2*x-3) lgdogf] A023545 6.40012 [(173*f(x)+3436)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+7*x-6) ogf] A023548 12.8067 [(x-2)/(x^2+x-1)/(x-1)^2 ogf] A023548 12.8760 [-(5-3*x+3*x^3-7*x^2)/(x-2)/(x-1)/(x^2+x-1) lgdogf] A023548 4.26889 [{(-n-6)*a(n+1)-a(n+2)+(2*n+11)*a(n+3)+(-n-5)*a(n+4),a(0)=2,a(1)=5,a(2)=11,a(3)=21} ogf] A023548 6.24966 [(210*f(x)-649)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-x+2) ogf] A023549 3.66542 [-(1482*f(x)-13045)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+3*x+2) ogf] A023549 7.43709 [(2*x+1)*(x-2)/(x^2+x-1)/(x-1)^2 ogf] A023549 9.25611 [-(4*x-3)*(x^3-x^2-3*x-3)/(x-1)/(x-2)/(2*x+1)/(x^2+x-1) lgdogf] A023550 11.6854 [(x+1)*(x-2)/(x^2+x-1)/(x-1)^2 ogf] A023550 14.6659 [-(7-3*x-2*x^3+2*x^4-8*x^2)/(x-1)/(x-2)/(x+1)/(x^2+x-1) lgdogf] A023550 4.38202 [{(2*n+11)*a(n+1)+2*a(n+2)+(-4*n-20)*a(n+3)+(2*n+9)*a(n+4),a(0)=2,a(1)=7,a(2)=16,a(3)=32} ogf] A023550 5.84269 [-(160*f(x)-4253)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-x^2-f(x)+x+2) ogf] A023551 10.4510 [(2*x-3)^2/(x-1)^4 ogf] A023551 32.5781 [-4*(x-2)/(x-1)/(2*x-3) lgdogf] A023551 4.78152 [{(3*n+9)*a(n+3)+(-18-5*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=9,a(1)=24,a(2)=46} ogf] A023551 5.45951 [(65*f(x)+2153)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+12*x-9) ogf] A023552 11.4488 [-(7-5*x+6*x^3-10*x^2)/(x-1)/(2*x-3)/(x^2+x-1) lgdogf] A023552 13.0417 [(2*x-3)/(x^2+x-1)/(x-1)^2 ogf] A023552 4.34722 [{(-n-7)*a(n+1)-a(n+2)+(2*n+13)*a(n+3)+(-n-6)*a(n+4),a(0)=3,a(1)=7,a(2)=15,a(3)=28} ogf] A023552 6.2641 [(1307*f(x)-6640)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-2*x+3) ogf] A023553 3.67931 [-(253455*f(x)-3552922)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+4*x+3) ogf] A023553 7.67855 [(2*x+1)*(2*x-3)/(x^2+x-1)/(x-1)^2 ogf] A023553 8.60818 [-(13-7*x-8*x^3+8*x^4-12*x^2)/(x-1)/(2*x+1)/(2*x-3)/(x^2+x-1) lgdogf] A023554 11.3359 [(x+1)*(2*x-3)/(x^2+x-1)/(x-1)^2 ogf] A023554 4.20525 [{(2*n+13)*a(n+1)+2*a(n+2)+(-4*n-24)*a(n+3)+(2*n+11)*a(n+4),a(0)=3,a(1)=10,a(2)=22,a(3)=43} ogf] A023554 5.66795 [-(760*f(x)-8959)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+x+3) ogf] A023554 8.98504 [-(10-6*x-x^3+4*x^4-11*x^2)/(x-1)/(2*x-3)/(x+1)/(x^2+x-1) lgdogf] A023607 11.0131 [x*(2*x+1)/(x^2+x-1)^2 ogf] A023607 20.7433 [-2*(2+3*x+3*x^2)/(2*x+1)/(x^2+x-1) lgdogf] A023607 3.67103 [{(-3-n)*a(n+4)+(2-n)*a(n+3)+(9+3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=9} ogf] A023607 5.34217 [-(1325*f(x)+703)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)-x) ogf] A023610 11.4066 [(x+1)/(x^2+x-1)^2 ogf] A023610 22.7273 [-(3+5*x+3*x^2)/(x+1)/(x^2+x-1) lgdogf] A023610 3.84423 [{(-n-4)*a(n+4)+3*a(n+3)+(9+2*n)*a(n+2)+(n+4)*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15} ogf] A023610 5.70332 [(22*f(x)-3)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A023619 11.2435 [(x+1)*(2*x+1)/(x^2+x-1)^2 ogf] A023619 16.9265 [-(5+11*x+4*x^3+9*x^2)/(2*x+1)/(x+1)/(x^2+x-1) lgdogf] A023619 5.78955 [(1050*f(x)+547)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A023620 11.3874 [-(x+1)*(2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A023620 13.3019 [-(-6-6*x+11*x^3+4*x^4+9*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2+x-1) lgdogf] A023620 4.22437 [{(-6*n-23)*a(n+1)-6*a(n+2)+(12*n+40)*a(n+3)+(-6*n-17)*a(n+4),a(0)=1,a(1)=6,a(2)=18,a(3)=41} ogf] A023620 5.69371 [(131880*f(x)+10121)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+3*x+1) ogf] A023652 13.0215 [-(x+1)^2/(x^2+x-1)/(x-1)^2 ogf] A023652 20.5566 [-(-5+2*x+2*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A023652 4.93673 [{(n+4)*a(n+1)+a(n+2)+(-2*n-7)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=5,a(2)=14,a(3)=31} ogf] A023652 6.65544 [-(175*f(x)+2)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+1) ogf] A023723 4.63467 [-(20*x^12-5*x^11-5*x^10-5*x^9-x^8-x^7-x^6-x^5-26*x^4-25*x^3-25*x^2-25*x-25)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A023737 4.25951 [x*(7*x^15+x^14+x^13+x^12+2*x^11+x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A023739 4.67094 [(2*x^12+x^11+x^10+x^9+x^8+5*x^7+5*x^6+5*x^5+5*x^4+25*x^3+25*x^2+25*x+24)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A023772 3.50424 [(9391937055817211*f(x)+82114878816000)*(540*f(x)*x^4-753*f(x)*x^3+239*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A023772 8.54608 [-(-27+478*x+2160*x^3-2259*x^2)/(x-1)/(9*x-1)/(5*x-1)/(12*x-1) lgdogf] A023772 9.51148 [1/(x-1)/(9*x-1)/(5*x-1)/(12*x-1) ogf] A023804 28.9546 [-x^9+x^8+2 ogf_with_Euler_transform] A023804 6.85031 [x*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A023805 27.0865 [-x^11+x^10+2 ogf_with_Euler_transform] A023805 5.93372 [x*(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A023806 27.0865 [-x^12+x^11+2 ogf_with_Euler_transform] A023806 5.58005 [x*(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A023807 27.0865 [-x^13+x^12+2 ogf_with_Euler_transform] A023807 5.26618 [x*(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A023808 27.0865 [-x^14+x^13+2 ogf_with_Euler_transform] A023808 4.98573 [x*(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A023809 24.6965 [2-x^14*(x-1) ogf_with_Euler_transform] A023809 4.73364 [x*(x^8+1)*(x^4+1)*(x^2+1)*(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A023810 24.6965 [2-x^15*(x-1) ogf_with_Euler_transform] A023810 4.50582 [x*(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A023855 18.5396 [-2*(1+6*x+5*x^3+4*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A023855 9.33837 [(2*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A023856 20.1969 [-(3+17*x+5*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x+2) lgdogf] A023856 9.50663 [(x^2+x+2)/(x+1)^3/(x-1)^4 ogf] A023857 10.4474 [(x+3)/(x+1)^3/(x-1)^4 ogf] A023857 24.9252 [-2*(2+11*x+3*x^2)/(x-1)/(x+3)/(x+1) lgdogf] A023857 4.44014 [{(-3*n-12)*a(n+4)+(1-n)*a(n+3)+(28+3*n)*a(n+2)+(7+n)*a(n+1),a(0)=3,a(1)=4,a(2)=13,a(3)=16} ogf] A023861 3.74671 [-(3*x^5-x^4-2*x^3+4*x^2+2*x+1)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A023864 4.37297 [-(x^5+2*x^2+x+1)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A023864 5.06971 [-(-2+4*x^9-2*x^8+16*x^7+27*x^6-10*x+5*x^10-2*x^3+8*x^4+18*x^5+3*x^2)/(x^2+x-1)/(x^4+x^2-1)/(x^5+2*x^2+x+1) lgdogf] A023865 17.6969 [-(3+19*x+25*x^3+17*x^2)/(x-1)/(x+1)/(5*x^2+2*x+1) lgdogf] A023865 9.49069 [(5*x^2+2*x+1)/(x+1)^3/(x-1)^4 ogf] A023871 15.0966 [-(-x-1)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A023872 11.2250 [-(x^2+4*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A023873 8.35578 [-(-x^3-11*x^2-11*x-1)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) ogf_with_Euler_transform] A023874 6.87540 [-(x^4+26*x^3+66*x^2+26*x+1)/(-x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) ogf_with_Euler_transform] A023875 5.44893 [-(-x^5-57*x^4-302*x^3-302*x^2-57*x-1)/(-x^7+7*x^6-21*x^5+35*x^4-35*x^3+21*x^2-7*x+1) ogf_with_Euler_transform] A023946 3.60944 [(6615964378781*f(x)+56728710720)*(550*f(x)*x^4-765*f(x)*x^3+241*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A023946 8.31684 [-(-27+482*x+2200*x^3-2295*x^2)/(x-1)/(5*x-1)/(10*x-1)/(11*x-1) lgdogf] A023946 9.41030 [1/(x-1)/(5*x-1)/(10*x-1)/(11*x-1) ogf] A023947 3.27319 [(848284798747*f(x)+6650173440)*(600*f(x)*x^4-830*f(x)*x^3+257*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A023947 7.19141 [-2*(-14+257*x+1200*x^3-1245*x^2)/(x-1)/(5*x-1)/(12*x-1)/(10*x-1) lgdogf] A023947 8.41679 [1/(x-1)/(5*x-1)/(12*x-1)/(10*x-1) ogf] A023948 2.98053 [(81826863594441469243*f(x)+581349218500512000)*(660*f(x)*x^4-907*f(x)*x^3+275*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A023948 7.51282 [-(-29+550*x+2640*x^3-2721*x^2)/(x-1)/(5*x-1)/(12*x-1)/(11*x-1) lgdogf] A023948 8.51580 [1/(x-1)/(5*x-1)/(12*x-1)/(11*x-1) ogf] A023949 3.61296 [(6043406025602473*f(x)+86123504323584)*(336*f(x)*x^4-482*f(x)*x^3+167*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A023949 8.96015 [-2*(-11+167*x+672*x^3-723*x^2)/(x-1)/(6*x-1)/(8*x-1)/(7*x-1) lgdogf] A023949 9.80661 [1/(x-1)/(6*x-1)/(8*x-1)/(7*x-1) ogf] A023950 3.67517 [(794093595037523*f(x)+10015375870080)*(378*f(x)*x^4-537*f(x)*x^3+181*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A023950 9.05649 [-(-23+362*x+1512*x^3-1611*x^2)/(x-1)/(6*x-1)/(9*x-1)/(7*x-1) lgdogf] A023950 9.90984 [1/(x-1)/(6*x-1)/(9*x-1)/(7*x-1) ogf] A023951 3.69968 [(159186249272941*f(x)+1800426379500)*(420*f(x)*x^4-592*f(x)*x^3+195*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A023951 9.20999 [-6*(-4+65*x+280*x^3-296*x^2)/(x-1)/(6*x-1)/(7*x-1)/(10*x-1) lgdogf] A023951 9.90984 [1/(x-1)/(6*x-1)/(7*x-1)/(10*x-1) ogf] A023952 3.29944 [(6918507014040838583*f(x)+70920545001945408)*(462*f(x)*x^4-647*f(x)*x^3+209*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A023952 8.36029 [-(-25+418*x+1848*x^3-1941*x^2)/(x-1)/(6*x-1)/(7*x-1)/(11*x-1) lgdogf] A023952 9.30912 [1/(x-1)/(6*x-1)/(7*x-1)/(11*x-1) ogf] A023953 3.63989 [(385197731381*f(x)+3610225920)*(504*f(x)*x^4-702*f(x)*x^3+223*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A023953 8.13986 [-2*(-13+223*x+1008*x^3-1053*x^2)/(x-1)/(6*x-1)/(7*x-1)/(12*x-1) lgdogf] A023953 9.35971 [1/(x-1)/(6*x-1)/(7*x-1)/(12*x-1) ogf] A023954 3.74967 [(15475731178853*f(x)+169833563136)*(432*f(x)*x^4-606*f(x)*x^3+197*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A023954 9.05649 [-2*(-12+197*x+864*x^3-909*x^2)/(x-1)/(6*x-1)/(9*x-1)/(8*x-1) lgdogf] A023954 9.90984 [1/(x-1)/(6*x-1)/(9*x-1)/(8*x-1) ogf] A023955 3.45652 [(546006285096503*f(x)+5372841024000)*(480*f(x)*x^4-668*f(x)*x^3+212*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A023955 8.31385 [-(-25+424*x+1920*x^3-2004*x^2)/(x-1)/(6*x-1)/(8*x-1)/(10*x-1) lgdogf] A023955 9.25852 [1/(x-1)/(6*x-1)/(8*x-1)/(10*x-1) ogf] A023956 3.40354 [(19261660651554971*f(x)+171774011667456)*(528*f(x)*x^4-730*f(x)*x^3+227*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A023956 8.13986 [-2*(-13+227*x+1056*x^3-1095*x^2)/(x-1)/(6*x-1)/(11*x-1)/(8*x-1) lgdogf] A023956 9.35971 [1/(x-1)/(6*x-1)/(11*x-1)/(8*x-1) ogf] A023972 6.81040 [-x^7*(x^42-x^24+1)/(x-1)/(x^6+x^3+1)/(x^6-x^3+1)/(x^54-x^48+x^36-x^24+x^18-x^6+1) ogf] A023974 117.359 [-1/(x-1) lgdogf] A023974 19.1031 [x^17+f(x)*x-f(x) ogf] A023974 29.2915 [-x^17/(x-1) ogf] A023975 117.359 [-1/(x-1) lgdogf] A023975 28.0582 [-x^25/(x-1) ogf] A023976 117.359 [-1/(x-1) lgdogf] A023976 26.0540 [-x^38/(x-1) ogf] A023989 4.20704 [(9899010*x^11+9900990*x^10-10001000*x^9-31007101*x^8+98010*x^7+99990*x^6-101000*x^5-208101*x^4-2000*x^3-1100*x^2-10*x-2)/(x-1) ogf] A023999 15.1088 [-1-4*x-8*x^2+((4*x^2+2*x+1)*(1+4*x)^2)^(1/2) revegf] A023999 3.90952 [{(-4*n^2-14*n-12)*a(n+1)+(12*n^2+79*n+125)*a(n+2)+(-3*n-9)*a(n+3),a(0)=1,a(1)=5,a(2)=48} ogf] A023999 30.2175 [-(2*x-5)/(4*x-1)/(x-1) lgdegf] A023999 7.04528 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-x^2+2*x-1 egf] A024000 10.6345 [f(x)*x^2-2*f(x)*x+f(x)+2*x-1 ogf] A024000 14.8883 [-(2*x-1)/(x-1)^2 ogf] A024000 26.0346 [-1/2*(-2*x-1+(-4*x+1)^(1/2))/(x+2) revogf] A024000 49.1764 [-2*x/(2*x-1)/(x-1) lgdogf] A024000 8.27127 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=0} ogf] A024001 22.5599 [-2*x*(7+x^2+4*x)/(x-1)/(2*x^3+x^2+4*x-1) lgdogf] A024001 4.17777 [{(5*n^2+n-18)*a(n+1)+(29*n^2+253*n+390)*a(n+2)+(-34*n^2-137*n-105)*a(n+3),a(0)=1,a(1)=0,a(2)=-7} ogf] A024001 5.53028 [(81*f(x)-86)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x+x^2+f(x)+4*x-1) ogf] A024001 9.98323 [-(2*x^3+x^2+4*x-1)/(x-1)^4 ogf] A024002 22.2178 [-30*x*(x+1)^2/(x-1)/(15*x^3+5*x^2+5*x-1) lgdogf] A024002 5.18416 [{(n^2+2*n)*a(n)+(8*n+8)*a(n+1)+(-n^2-2*n)*a(n+2),a(0)=1,a(1)=0,a(2)=-15} ogf] A024002 8.83664 [(15*x^3+5*x^2+5*x-1)/(x-1)^5 ogf] A024003 5.80488 [-2*x*(31+156*x^2+26*x^3+x^4+146*x)/(x-1)/(2*x^5+21*x^4+76*x^3+16*x^2+6*x-1) lgdogf] A024003 6.00386 [-(2*x^5+21*x^4+76*x^3+16*x^2+6*x-1)/(x-1)^6 ogf] A024004 10.6631 [-42*x*(3+58*x^2+28*x^3+3*x^4+28*x)/(x-1)/(63*x^5+287*x^4+322*x^3+42*x^2+7*x-1) lgdogf] A024004 5.91266 [(63*x^5+287*x^4+322*x^3+42*x^2+7*x-1)/(x-1)^7 ogf] A024005 3.14087 [-(2*x^7+113*x^6+1212*x^5+2381*x^4+1226*x^3+99*x^2+8*x-1)/(x-1)^8 ogf] A024006 3.67300 [(255*x^7+4265*x^6+15675*x^5+15549*x^4+4349*x^3+219*x^2+9*x-1)/(x-1)^9 ogf] A024006 5.54932 [-30*x*(17*x^6+486*x^5+17+2943*x^2+5204*x^3+2943*x^4+486*x)/(x-1)/(255*x^7+4265*x^6+15675*x^5+15549*x^4+4349*x^3+219*x^2+9*x-1) lgdogf] A024012 11.2625 [(x^3+4*x^2-4*x+1)/(2*x-1)/(x-1)^3 ogf] A024012 14.1578 [-(-1+8*x+20*x^3+2*x^4-23*x^2)/(x-1)/(2*x-1)/(x^3+4*x^2-4*x+1) lgdogf] A024012 6.10712 [-(28*f(x)+9)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-x^3-5*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A024013 7.80274 [-(3*x^4+3*x^3+4*x^2-5*x+1)/(2*x-1)/(x-1)^4 ogf] A024013 8.65187 [-(-1+17*x+21*x^3+30*x^4+6*x^5-49*x^2)/(x-1)/(2*x-1)/(3*x^4+3*x^3+4*x^2-5*x+1) lgdogf] A024014 5.90405 [(x^5+26*x^4+x^3+x^2-6*x+1)/(2*x-1)/(x-1)^5 ogf] A024014 8.17053 [-(-1+2*x^6+34*x-94*x^3+131*x^4+112*x^5-64*x^2)/(x-1)/(2*x-1)/(x^5+26*x^4+x^3+x^2-6*x+1) lgdogf] A024015 4.92531 [-(3*x^6+45*x^5+121*x^4-34*x^3-9*x^2-7*x+1)/(2*x-1)/(x-1)^6 ogf] A024016 4.28249 [(x^7+120*x^6+526*x^5+337*x^4-223*x^3-34*x^2-8*x+1)/(2*x-1)/(x-1)^7 ogf] A024017 3.43998 [-(3*x^8+231*x^7+2290*x^6+3585*x^5+36*x^4-1007*x^3-90*x^2-9*x+1)/(2*x-1)/(x-1)^8 ogf] A024018 3.87485 [(x^9+502*x^8+8303*x^7+27029*x^6+15493*x^5-6907*x^4-3883*x^3-209*x^2-10*x+1)/(2*x-1)/(x-1)^9 ogf] A024023 13.6404 [-3*f(x)*x^2+4*f(x)*x-f(x)+2*x ogf] A024023 19.0549 [-1/3*(-1-2*x+(1+4*x+x^2)^(1/2))/x revogf] A024023 21.7509 [2*x/(3*x-1)/(x-1) ogf] A024023 25.1525 [-2*(-2+3*x)/(3*x-1)/(x-1) lgdogf] A024023 9.93562 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=2} ogf] A024024 10.5221 [-(4*x^2-3*x+1)/(3*x-1)/(x-1)^2 ogf] A024024 13.1003 [-2*(2*x-1)*(3*x^2+1)/(3*x-1)/(x-1)/(4*x^2-3*x+1) lgdogf] A024024 5.39366 [-(148*f(x)-109)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A024024 5.73077 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A024025 4.48843 [(395*f(x)+229)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2-2*x^3-6*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A024025 8.12463 [(2*x^3+5*x^2-4*x+1)/(3*x-1)/(x-1)^3 ogf] A024025 9.67405 [-2*(-1+5*x+21*x^3+3*x^4-16*x^2)/(3*x-1)/(x-1)/(2*x^3+5*x^2-4*x+1) lgdogf] A024026 6.61802 [-(4*x^4+7*x^3+5*x^2-5*x+1)/(3*x-1)/(x-1)^4 ogf] A024026 7.91842 [-2*(-1+10*x+32*x^3+39*x^4+6*x^5-38*x^2)/(3*x-1)/(x-1)/(4*x^4+7*x^3+5*x^2-5*x+1) lgdogf] A024027 5.15021 [(2*x^5+37*x^4+12*x^3+2*x^2-6*x+1)/(3*x-1)/(x-1)^5 ogf] A024027 6.23658 [-2*(-1+3*x^6+19*x-38*x^3+197*x^4+123*x^5-63*x^2)/(3*x-1)/(x-1)/(2*x^5+37*x^4+12*x^3+2*x^2-6*x+1) lgdogf] A024028 3.22765 [-(4*x^6+71*x^5+187*x^4-8*x^3-8*x^2-7*x+1)/(3*x-1)/(x-1)^6 ogf] A024031 3.84794 [(2*x^9+749*x^8+12596*x^7+42648*x^6+31112*x^5-2614*x^4-3636*x^3-208*x^2-10*x+1)/(x-1)^9/(3*x-1) ogf] A024036 12.1117 [-4*f(x)*x^2+5*f(x)*x-f(x)+3*x ogf] A024036 14.3864 [-1/8*(-5*x-3+(x+3)^(1/2)*(3*x+1)^(1/2)*3^(1/2))/x revogf] A024036 19.3133 [3*x/(4*x-1)/(x-1) ogf] A024036 30.6493 [-(-5+8*x)/(4*x-1)/(x-1) lgdogf] A024036 8.82211 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=0,a(1)=3} ogf] A024037 4.24151 [(3897*f(x)-1661)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-3*x+1) ogf] A024037 4.39165 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=14} ogf] A024037 8.13536 [-(5*x^2-3*x+1)/(4*x-1)/(x-1)^2 ogf] A024037 9.68157 [-(-3+5*x+20*x^3-4*x^2)/(4*x-1)/(x-1)/(5*x^2-3*x+1) lgdogf] A024038 3.88883 [-(1075896*f(x)+646003)*(4*f(x)*x^4-13*f(x)*x^3+15*f(x)*x^2-3*x^3-7*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A024038 7.58075 [(3*x^3+6*x^2-4*x+1)/(4*x-1)/(x-1)^3 ogf] A024038 9.02056 [-3*(-1+4*x+24*x^3+4*x^4-13*x^2)/(4*x-1)/(x-1)/(3*x^3+6*x^2-4*x+1) lgdogf] A024039 7.33373 [-(5*x^4+11*x^3+6*x^2-5*x+1)/(4*x-1)/(x-1)^4 ogf] A024039 8.51826 [-(-3+23*x+129*x^3+148*x^4+20*x^5-101*x^2)/(4*x-1)/(x-1)/(5*x^4+11*x^3+6*x^2-5*x+1) lgdogf] A024040 4.15643 [(3*x^5+48*x^4+23*x^3+3*x^2-6*x+1)/(4*x-1)/(x-1)^5 ogf] A024041 3.63087 [-(5*x^6+97*x^5+253*x^4+18*x^3-7*x^2-7*x+1)/(4*x-1)/(x-1)^6 ogf] A024042 3.15798 [(3*x^7+234*x^6+1130*x^5+941*x^4-109*x^3-32*x^2-8*x+1)/(4*x-1)/(x-1)^7 ogf] A024044 3.72108 [(3*x^9+996*x^8+16889*x^7+58267*x^6+46731*x^5+1679*x^4-3389*x^3-207*x^2-10*x+1)/(4*x-1)/(x-1)^9 ogf] A024049 14.8112 [4*x/(5*x-1)/(x-1) ogf] A024049 15.3966 [-1/5*(-2-3*x+2*(1+3*x+x^2)^(1/2))/x revogf] A024049 21.5552 [-2*(-3+5*x)/(5*x-1)/(x-1) lgdogf] A024049 6.76560 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=4} ogf] A024049 9.28837 [-5*f(x)*x^2+6*f(x)*x-f(x)+4*x ogf] A024050 11.7148 [-2*(-2+3*x+15*x^3)/(5*x-1)/(x-1)/(6*x^2-3*x+1) lgdogf] A024050 4.59215 [(32016*f(x)-12131)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A024050 4.83384 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=4,a(2)=23} ogf] A024050 8.88803 [-(6*x^2-3*x+1)/(5*x-1)/(x-1)^2 ogf] A024051 3.72337 [(138016*f(x)+84399)*(5*f(x)*x^4-16*f(x)*x^3+18*f(x)*x^2-4*x^3-8*f(x)*x-7*x^2+f(x)+4*x-1) ogf] A024051 6.97542 [(4*x^3+7*x^2-4*x+1)/(5*x-1)/(x-1)^3 ogf] A024051 8.16485 [-2*(-2+7*x+55*x^3+10*x^4-22*x^2)/(5*x-1)/(x-1)/(4*x^3+7*x^2-4*x+1) lgdogf] A024052 5.64963 [-(6*x^4+15*x^3+7*x^2-5*x+1)/(5*x-1)/(x-1)^4 ogf] A024052 6.45585 [-2*(-2+13*x+108*x^3+120*x^4+15*x^5-62*x^2)/(5*x-1)/(x-1)/(6*x^4+15*x^3+7*x^2-5*x+1) lgdogf] A024053 4.69801 [(4*x^5+59*x^4+34*x^3+4*x^2-6*x+1)/(5*x-1)/(x-1)^5 ogf] A024053 5.43664 [-2*(-2+10*x^6+23*x+58*x^3+658*x^4+335*x^5-122*x^2)/(5*x-1)/(x-1)/(4*x^5+59*x^4+34*x^3+4*x^2-6*x+1) lgdogf] A024054 3.88899 [-(6*x^6+123*x^5+319*x^4+44*x^3-6*x^2-7*x+1)/(5*x-1)/(x-1)^6 ogf] A024055 3.43918 [(4*x^7+291*x^6+1432*x^5+1243*x^4-52*x^3-31*x^2-8*x+1)/(5*x-1)/(x-1)^7 ogf] A024062 11.8498 [-1/12*(-7*x-5+(5+14*x+5*x^2)^(1/2)*5^(1/2))/x revogf] A024062 12.4888 [-6*f(x)*x^2+7*f(x)*x-f(x)+5*x ogf] A024062 14.6548 [5*x/(6*x-1)/(x-1) ogf] A024062 22.2183 [-(-7+12*x)/(6*x-1)/(x-1) lgdogf] A024062 6.69416 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=0,a(1)=5} ogf] A024063 10.6648 [-(-5+7*x+42*x^3+6*x^2)/(6*x-1)/(x-1)/(7*x^2-3*x+1) lgdogf] A024063 4.50598 [(157525*f(x)-58699)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x+7*x^2-f(x)-3*x+1) ogf] A024063 4.78266 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=1,a(1)=5,a(2)=34} ogf] A024063 8.79392 [-(7*x^2-3*x+1)/(6*x-1)/(x-1)^2 ogf] A024064 3.49502 [(1178435500*f(x)+731571053)*(6*f(x)*x^4-19*f(x)*x^3+21*f(x)*x^2-5*x^3-9*f(x)*x-8*x^2+f(x)+4*x-1) ogf] A024064 6.90156 [(5*x^3+8*x^2-4*x+1)/(6*x-1)/(x-1)^3 ogf] A024064 8.07939 [-(-5+16*x+156*x^3+30*x^4-47*x^2)/(6*x-1)/(x-1)/(5*x^3+8*x^2-4*x+1) lgdogf] A024065 5.56350 [-(7*x^4+19*x^3+8*x^2-5*x+1)/(6*x-1)/(x-1)^4 ogf] A024065 6.50293 [-(-5+29*x+325*x^3+354*x^4+42*x^5-145*x^2)/(6*x-1)/(x-1)/(7*x^4+19*x^3+8*x^2-5*x+1) lgdogf] A024066 4.70020 [(5*x^5+70*x^4+45*x^3+5*x^2-6*x+1)/(6*x-1)/(x-1)^5 ogf] A024066 5.55458 [-5*(-1+6*x^6+10*x+58*x^3+395*x^4+192*x^5-60*x^2)/(6*x-1)/(x-1)/(5*x^5+70*x^4+45*x^3+5*x^2-6*x+1) lgdogf] A024067 3.88577 [-(7*x^6+149*x^5+385*x^4+70*x^3-5*x^2-7*x+1)/(6*x-1)/(x-1)^6 ogf] A024068 3.27483 [(5*x^7+348*x^6+1734*x^5+1545*x^4+5*x^3-30*x^2-8*x+1)/(6*x-1)/(x-1)^7 ogf] A024075 13.2369 [-1/7*(-3-4*x+(3+8*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A024075 15.6264 [6*x/(7*x-1)/(x-1) ogf] A024075 22.7675 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A024075 7.13798 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=6} ogf] A024075 9.7996 [-7*f(x)*x^2+8*f(x)*x-f(x)+6*x ogf] A024076 10.9459 [-2*(-3+4*x+28*x^3+7*x^2)/(7*x-1)/(x-1)/(8*x^2-3*x+1) lgdogf] A024076 4.76371 [(571572*f(x)-215489)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+8*x^2-f(x)-3*x+1) ogf] A024076 5.09800 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=1,a(1)=6,a(2)=47} ogf] A024076 9.37374 [-(8*x^2-3*x+1)/(7*x-1)/(x-1)^2 ogf] A024077 3.65517 [-(136311282*f(x)+85635751)*(7*f(x)*x^4-22*f(x)*x^3+24*f(x)*x^2-6*x^3-10*f(x)*x-9*x^2+f(x)+4*x-1) ogf] A024077 7.26465 [(6*x^3+9*x^2-4*x+1)/(7*x-1)/(x-1)^3 ogf] A024077 8.89357 [-6*(-1+3*x+35*x^3+7*x^4-8*x^2)/(7*x-1)/(x-1)/(6*x^3+9*x^2-4*x+1) lgdogf] A024078 5.93033 [-(x+1)*(8*x^3+15*x^2-6*x+1)/(7*x-1)/(x-1)^4 ogf] A024078 6.85770 [-2*(-3+16*x+228*x^3+245*x^4+28*x^5-82*x^2)/(x-1)/(7*x-1)/(x+1)/(8*x^3+15*x^2-6*x+1) lgdogf] A024079 5.01010 [(6*x^5+81*x^4+56*x^3+6*x^2-6*x+1)/(7*x-1)/(x-1)^5 ogf] A024079 5.99146 [-6*(-1+7*x^6+9*x+86*x^3+461*x^4+217*x^5-59*x^2)/(7*x-1)/(x-1)/(6*x^5+81*x^4+56*x^3+6*x^2-6*x+1) lgdogf] A024080 4.18109 [-(8*x^6+175*x^5+451*x^4+96*x^3-4*x^2-7*x+1)/(7*x-1)/(x-1)^6 ogf] A024081 3.55049 [(6*x^7+405*x^6+2036*x^5+1847*x^4+62*x^3-29*x^2-8*x+1)/(7*x-1)/(x-1)^7 ogf] A024082 3.79279 [-(8*x^8+831*x^7+8245*x^6+15665*x^5+5991*x^4-407*x^3-85*x^2-9*x+1)/(7*x-1)/(x-1)^8 ogf] A024088 11.9086 [-1/16*(-9*x-7+(7*x^2+18*x+7)^(1/2)*7^(1/2))/x revogf] A024088 14.7222 [7*x/(8*x-1)/(x-1) ogf] A024088 22.3287 [-(-9+16*x)/(8*x-1)/(x-1) lgdogf] A024088 6.72495 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=7} ogf] A024088 9.23256 [-8*f(x)*x^2+9*f(x)*x-f(x)+7*x ogf] A024089 10.5076 [-(-7+9*x+72*x^3+24*x^2)/(8*x-1)/(x-1)/(9*x^2-3*x+1) lgdogf] A024089 4.41666 [(1690353*f(x)-649529)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x+9*x^2-f(x)-3*x+1) ogf] A024089 4.76231 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=1,a(1)=7,a(2)=62} ogf] A024089 8.69311 [-(9*x^2-3*x+1)/(8*x-1)/(x-1)^2 ogf] A024090 3.44444 [(2961460285*f(x)+1878169242)*(8*f(x)*x^4-25*f(x)*x^3+27*f(x)*x^2-7*x^3-11*f(x)*x-10*x^2+f(x)+4*x-1) ogf] A024090 6.76131 [(7*x^3+10*x^2-4*x+1)/(8*x-1)/(x-1)^3 ogf] A024090 7.99833 [-(-7+20*x+272*x^3+56*x^4-47*x^2)/(8*x-1)/(x-1)/(7*x^3+10*x^2-4*x+1) lgdogf] A024091 5.53198 [-(9*x^4+27*x^3+10*x^2-5*x+1)/(8*x-1)/(x-1)^4 ogf] A024091 6.45648 [-(-7+35*x+609*x^3+648*x^4+72*x^5-181*x^2)/(8*x-1)/(x-1)/(9*x^4+27*x^3+10*x^2-5*x+1) lgdogf] A024092 4.72126 [(7*x^5+92*x^4+67*x^3+7*x^2-6*x+1)/(8*x-1)/(x-1)^5 ogf] A024092 5.41301 [-(-7+56*x^6+58*x+794*x^3+3689*x^4+1696*x^5-406*x^2)/(8*x-1)/(x-1)/(7*x^5+92*x^4+67*x^3+7*x^2-6*x+1) lgdogf] A024093 3.91190 [-(9*x^6+201*x^5+517*x^4+122*x^3-3*x^2-7*x+1)/(8*x-1)/(x-1)^6 ogf] A024094 3.65736 [(7*x^7+462*x^6+2338*x^5+2149*x^4+119*x^3-28*x^2-8*x+1)/(8*x-1)/(x-1)^7 ogf] A024095 4.30164 [-(9*x^8+951*x^7+9436*x^6+18081*x^5+7182*x^4-287*x^3-84*x^2-9*x+1)/(8*x-1)/(x-1)^8 ogf] A024101 10.9695 [-1/9*(-5*x-4+2*(2*x+1)^(1/2)*(x+2)^(1/2)*2^(1/2))/x revogf] A024101 14.9547 [8*x/(9*x-1)/(x-1) ogf] A024101 22.3777 [-2*(-5+9*x)/(9*x-1)/(x-1) lgdogf] A024101 6.93021 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=8} ogf] A024101 9.47128 [-9*f(x)*x^2+10*f(x)*x-f(x)+8*x ogf] A024102 10.3601 [-2*(-4+5*x+45*x^3+18*x^2)/(9*x-1)/(x-1)/(10*x^2-3*x+1) lgdogf] A024102 4.5335 [(4313152*f(x)-1690471)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x+10*x^2-f(x)-3*x+1) ogf] A024102 4.96714 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=1,a(1)=8,a(2)=79} ogf] A024102 8.92533 [-(10*x^2-3*x+1)/(9*x-1)/(x-1)^2 ogf] A024103 3.59259 [(6412566272*f(x)+4098017011)*(9*f(x)*x^4-28*f(x)*x^3+30*f(x)*x^2-8*x^3-12*f(x)*x-11*x^2+f(x)+4*x-1) ogf] A024103 7.05211 [(8*x^3+11*x^2-4*x+1)/(9*x-1)/(x-1)^3 ogf] A024103 8.10788 [-2*(-4+11*x+171*x^3+36*x^4-22*x^2)/(9*x-1)/(x-1)/(8*x^3+11*x^2-4*x+1) lgdogf] A024104 5.71221 [-(10*x^4+31*x^3+11*x^2-5*x+1)/(9*x-1)/(x-1)^4 ogf] A024104 6.58169 [-2*(-4+19*x+392*x^3+414*x^4+45*x^5-98*x^2)/(9*x-1)/(x-1)/(10*x^4+31*x^3+11*x^2-5*x+1) lgdogf] A024105 4.84086 [(8*x^5+103*x^4+78*x^3+8*x^2-6*x+1)/(9*x-1)/(x-1)^5 ogf] A024105 5.48474 [-2*(-4+36*x^6+31*x+562*x^3+2372*x^4+1071*x^5-228*x^2)/(9*x-1)/(x-1)/(8*x^5+103*x^4+78*x^3+8*x^2-6*x+1) lgdogf] A024106 4.05121 [-(10*x^6+227*x^5+583*x^4+148*x^3-2*x^2-7*x+1)/(9*x-1)/(x-1)^6 ogf] A024107 3.45023 [(8*x^7+519*x^6+2640*x^5+2451*x^4+176*x^3-27*x^2-8*x+1)/(9*x-1)/(x-1)^7 ogf] A024108 3.40784 [-(10*x^8+1071*x^7+10627*x^6+20497*x^5+8373*x^4-167*x^3-83*x^2-9*x+1)/(9*x-1)/(x-1)^8 ogf] A024114 3.8046 [(2287271447*f(x)+18648576)*(576*f(x)*x^4-792*f(x)*x^3+242*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A024114 8.54608 [-(-27+484*x+2304*x^3-2376*x^2)/(x-1)/(6*x-1)/(12*x-1)/(8*x-1) lgdogf] A024114 9.51148 [1/(x-1)/(6*x-1)/(12*x-1)/(8*x-1) ogf] A024115 10.1717 [-(-9+11*x+110*x^3+50*x^2)/(x-1)/(10*x-1)/(11*x^2-3*x+1) lgdogf] A024115 4.4978 [(9841581*f(x)-3929111)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+11*x^2-f(x)-3*x+1) ogf] A024115 4.92432 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=9,a(2)=98} ogf] A024115 8.78802 [-(11*x^2-3*x+1)/(10*x-1)/(x-1)^2 ogf] A024116 3.52606 [(67961640276*f(x)+43704636779)*(10*f(x)*x^4-31*f(x)*x^3+33*f(x)*x^2-9*x^3-13*f(x)*x-12*x^2+f(x)+4*x-1) ogf] A024116 6.96611 [(9*x^3+12*x^2-4*x+1)/(10*x-1)/(x-1)^3 ogf] A024116 8.10788 [-3*(-3+8*x+140*x^3+30*x^4-13*x^2)/(x-1)/(10*x-1)/(9*x^3+12*x^2-4*x+1) lgdogf] A024117 5.65565 [-(11*x^4+35*x^3+12*x^2-5*x+1)/(10*x-1)/(x-1)^4 ogf] A024117 6.43039 [-(-9+41*x+981*x^3+1030*x^4+110*x^5-209*x^2)/(x-1)/(10*x-1)/(11*x^4+35*x^3+12*x^2-5*x+1) lgdogf] A024118 4.76018 [(9*x^5+114*x^4+89*x^3+9*x^2-6*x+1)/(10*x-1)/(x-1)^5 ogf] A024118 5.48474 [-3*(-3+30*x^6+22*x+502*x^3+1977*x^4+880*x^5-168*x^2)/(x-1)/(10*x-1)/(9*x^5+114*x^4+89*x^3+9*x^2-6*x+1) lgdogf] A024119 4.02268 [-(11*x^6+253*x^5+649*x^4+174*x^3-x^2-7*x+1)/(10*x-1)/(x-1)^6 ogf] A024120 3.48305 [(9*x^7+576*x^6+2942*x^5+2753*x^4+233*x^3-26*x^2-8*x+1)/(10*x-1)/(x-1)^7 ogf] A024121 4.34974 [-(11*x^8+1191*x^7+11818*x^6+22913*x^5+9564*x^4-47*x^3-82*x^2-9*x+1)/(x-1)^8/(10*x-1) ogf] A024127 12.0753 [-1/11*(-5-6*x+(5+12*x+5*x^2)^(1/2)*5^(1/2))/x revogf] A024127 13.8015 [10*x/(11*x-1)/(x-1) ogf] A024127 20.1255 [-2*(-6+11*x)/(11*x-1)/(x-1) lgdogf] A024127 6.57215 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=0,a(1)=10} ogf] A024127 8.90421 [-11*f(x)*x^2+12*f(x)*x-f(x)+10*x ogf] A024128 4.33556 [(20570100*f(x)-8349749)*(11*f(x)*x^3-23*f(x)*x^2+13*f(x)*x+12*x^2-f(x)-3*x+1) ogf] A024128 4.70297 [{a(n+3)-13*a(n+2)+23*a(n+1)-11*a(n),a(0)=1,a(1)=10,a(2)=119} ogf] A024128 8.53771 [-(12*x^2-3*x+1)/(11*x-1)/(x-1)^2 ogf] A024128 9.87981 [-2*(-5+6*x+66*x^3+33*x^2)/(11*x-1)/(x-1)/(12*x^2-3*x+1) lgdogf] A024129 3.40461 [(18565937375*f(x)+12001991346)*(11*f(x)*x^4-34*f(x)*x^3+36*f(x)*x^2-10*x^3-14*f(x)*x-13*x^2+f(x)+4*x-1) ogf] A024129 6.68616 [(10*x^3+13*x^2-4*x+1)/(11*x-1)/(x-1)^3 ogf] A024129 7.65337 [-2*(-5+13*x+253*x^3+55*x^4-16*x^2)/(11*x-1)/(x-1)/(10*x^3+13*x^2-4*x+1) lgdogf] A024130 5.49456 [-(12*x^4+39*x^3+13*x^2-5*x+1)/(11*x-1)/(x-1)^4 ogf] A024130 6.24586 [-2*(-5+22*x+600*x^3+627*x^4+66*x^5-110*x^2)/(11*x-1)/(x-1)/(12*x^4+39*x^3+13*x^2-5*x+1) lgdogf] A024131 4.51180 [(10*x^5+125*x^4+100*x^3+10*x^2-6*x+1)/(11*x-1)/(x-1)^5 ogf] A024131 5.27563 [-10*(-1+11*x^6+7*x+194*x^3+725*x^4+319*x^5-55*x^2)/(11*x-1)/(x-1)/(10*x^5+125*x^4+100*x^3+10*x^2-6*x+1) lgdogf] A024132 4.11986 [-(12*x^6+279*x^5+715*x^4+200*x^3-7*x+1)/(11*x-1)/(x-1)^6 ogf] A024133 3.32830 [(10*x^7+633*x^6+3244*x^5+3055*x^4+290*x^3-25*x^2-8*x+1)/(11*x-1)/(x-1)^7 ogf] A024140 12.4661 [11*x/(12*x-1)/(x-1) ogf] A024140 18.8517 [-(-13+24*x)/(12*x-1)/(x-1) lgdogf] A024140 5.93625 [{a(n+2)-13*a(n+1)+12*a(n),a(0)=0,a(1)=11} ogf] A024140 8.04267 [-12*f(x)*x^2+13*f(x)*x-f(x)+11*x ogf] A024140 9.80291 [-1/24*(-13*x-11+(11*x^2+26*x+11)^(1/2)*11^(1/2))/x revogf] A024141 3.88743 [(40057897*f(x)-16501429)*(12*f(x)*x^3-25*f(x)*x^2+14*f(x)*x+13*x^2-f(x)-3*x+1) ogf] A024141 4.24981 [{a(n+3)-14*a(n+2)+25*a(n+1)-12*a(n),a(0)=1,a(1)=11,a(2)=142} ogf] A024141 7.71505 [-(13*x^2-3*x+1)/(12*x-1)/(x-1)^2 ogf] A024141 8.75260 [-(-11+13*x+156*x^3+84*x^2)/(12*x-1)/(x-1)/(13*x^2-3*x+1) lgdogf] A024142 3.00287 [(1691408488792*f(x)+1098272403011)*(12*f(x)*x^4-37*f(x)*x^3+39*f(x)*x^2-11*x^3-15*f(x)*x-14*x^2+f(x)+4*x-1) ogf] A024142 6.04190 [(11*x^3+14*x^2-4*x+1)/(12*x-1)/(x-1)^3 ogf] A024142 6.90346 [-(-11+28*x+600*x^3+132*x^4-23*x^2)/(12*x-1)/(x-1)/(11*x^3+14*x^2-4*x+1) lgdogf] A024143 4.96513 [-(13*x^4+43*x^3+14*x^2-5*x+1)/(12*x-1)/(x-1)^4 ogf] A024143 5.50725 [-(-11+47*x+1441*x^3+1500*x^4+156*x^5-229*x^2)/(12*x-1)/(x-1)/(13*x^4+43*x^3+14*x^2-5*x+1) lgdogf] A024144 4.07706 [(11*x^5+136*x^4+111*x^3+11*x^2-6*x+1)/(12*x-1)/(x-1)^5 ogf] A024145 3.53154 [-(13*x^6+305*x^5+781*x^4+226*x^3+x^2-7*x+1)/(12*x-1)/(x-1)^6 ogf] A024146 4.16649 [(11*x^7+690*x^6+3546*x^5+3357*x^4+347*x^3-24*x^2-8*x+1)/(12*x-1)/(x-1)^7 ogf] A024163 11.8582 [-x^10/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A024163 17.5950 [-x*(2+3*x+2*x^2+11*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A024163 23.9545 [x+1/2*x^2+1/120*x^5 egf]_with_Euler_transform] A024164 15.5193 [x^8/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A024164 19.9109 [1/2*x^2+1/120*x^5 egf]_with_Euler_transform] A024164 20.9087 [-3*x^2*(1+3*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A024165 11.7827 [-x^12/(x^2+1)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A024165 13.7776 [-x^2*(13*x^5+4*x+3*x^2+13*x^3+3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A024165 20.0051 [1/2*x^2+1/6*x^3+1/120*x^5 egf]_with_Euler_transform] A024166 22.8713 [-2*(x+5)*(2*x+1)/(x-1)/(x^2+4*x+1) lgdogf] A024166 3.98169 [{(n+3)*a(n+4)+(-4+3*n)*a(n+3)+(-25-3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=46} ogf] A024166 8.56928 [x*(x^2+4*x+1)/(x-1)^6 ogf] A024167 4.42227 [{(-n^2-6*n-9)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=5} ogf] A024168 4.91994 [{(-n^2-6*n-9)*a(n+1)+a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=1} ogf] A024170 3.54152 [(17936074134121*f(x)+156159576000)*(540*f(x)*x^4-744*f(x)*x^3+229*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A024170 8.13986 [-2*(-13+229*x+1080*x^3-1116*x^2)/(x-1)/(6*x-1)/(9*x-1)/(10*x-1) lgdogf] A024170 9.35971 [1/(x-1)/(6*x-1)/(9*x-1)/(10*x-1) ogf] A024172 5.26183 [x^2*(x^4-x^3+x^2-x+1)*(x^5-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A024174 5.24626 [x^2*(x^7-2*x^6+2*x^5-2*x^4+x^3-x^2+x-1)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A024175 5.05527 [{-a(n+4)+6*a(n+3)-10*a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A024175 6.86072 [-4*f(x)*x^3+10*f(x)*x^2+x^3-6*f(x)*x-6*x^2+f(x)+5*x-1 ogf] A024175 9.60501 [(x^3-6*x^2+5*x-1)/(2*x-1)/(2*x^2-4*x+1) ogf] A024175 9.69365 [(1-8*x-28*x^3+14*x^4+23*x^2)/(2*x-1)/(2*x^2-4*x+1)/(x^3-6*x^2+5*x-1) lgdogf] A024178 10.8588 [-(11+14*x+10*x^3-11*x^4+4*x^5+17*x^2)/(x-1)/(x^3-3*x^2+3*x+2)/(x^2+x+1) lgdogf] A024178 7.77951 [-(x^3-3*x^2+3*x+2)/(x^2+x+1)/(x-1)^5 ogf] A024180 6.18015 [-x*(x^10-2*x^9+x^7+x^4+x^2-x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A024182 3.79223 [x*(x^6-2*x^5+2*x^4-2*x^3+x^2-1)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A024183 19.5360 [-(47-44*x+12*x^2)/(x-1)/(4*x^2-13*x+12) lgdogf] A024183 3.69690 [{(-12*n-48)*a(n+4)+(122+25*n)*a(n+3)+(-78-17*n)*a(n+2)+(16+4*n)*a(n+1),a(0)=12,a(1)=47,a(2)=119,a(3)=245} ogf] A024183 9.58454 [-(4*x^2-13*x+12)/(x-1)^5 ogf] A024184 12.0514 [-(-342+386*x+32*x^3-181*x^2)/(x-1)/(8*x^3-41*x^2+78*x-60) lgdogf] A024184 3.53736 [{(57*n^2+803*n+2590)*a(n+1)+(-29*n^2+227*n+2736)*a(n+2)+(-28*n^2-520*n-1308)*a(n+3),a(0)=60,a(1)=342,a(2)=1175} ogf] A024184 6.48517 [(8*x^3-41*x^2+78*x-60)/(x-1)^7 ogf] A024185 4.85099 [-(16*x^4-113*x^3+328*x^2-486*x+360)/(x-1)^9 ogf] A024185 8.55652 [-(2754-3232*x-614*x^3+80*x^4+1957*x^2)/(x-1)/(16*x^4-113*x^3+328*x^2-486*x+360) lgdogf] A024191 10.0861 [-(2*x^2-6*x+5)/(x-1)^5 ogf] A024191 21.7234 [-(19-20*x+6*x^2)/(x-1)/(2*x^2-6*x+5) lgdogf] A024191 3.92511 [{(-5*n-20)*a(n+4)+(52+11*n)*a(n+3)+(-36-8*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=5,a(1)=19,a(2)=47,a(3)=95} ogf] A024196 22.1335 [-(23+34*x+3*x^2)/(x-1)/(x^2+8*x+3) lgdogf] A024196 3.79640 [{(3*n+12)*a(n+4)+(-8+5*n)*a(n+3)+(-48-7*n)*a(n+2)+(-4-n)*a(n+1),a(0)=3,a(1)=23,a(2)=86,a(3)=230} ogf] A024196 9.70725 [-(x^2+8*x+3)/(x-1)^5 ogf] A024197 14.3275 [-4*(44+123*x+x^3+42*x^2)/(x-1)/(x^3+33*x^2+71*x+15) lgdogf] A024197 3.79680 [{(-73*n^2-777*n-2060)*a(n+1)+(-19*n^2-808*n-3124)*a(n+2)+(92*n^2+595*n+957)*a(n+3),a(0)=15,a(1)=176,a(2)=950} ogf] A024197 6.89049 [-(x^3+33*x^2+71*x+15)/(x-1)^7 ogf] A024198 4.55869 [-(x^4+112*x^3+718*x^2+744*x+105)/(x-1)^9 ogf] A024198 8.40311 [-(1689+7388*x+676*x^3+5*x^4+5362*x^2)/(x-1)/(x^4+112*x^3+718*x^2+744*x+105) lgdogf] A024199 5.75076 [{(-4*n^2-12*n-9)*a(n+1)+a(n+3)-2*a(n+2),a(0)=0,a(1)=1,a(2)=2} ogf] A024200 3.34095 [{(8*n^3+40*n^2+66*n+36)*a(n+1)+(-4*n^3-36*n^2-101*n-92)*a(n+2)+(-4*n-12)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A024201 5.80243 [x*(x^6-2*x^5-x^3-x^2-x-2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A024202 7.81542 [(x^4-5*x^3-7*x-1)/(x^2+x+1)/(x-1)^5 ogf] A024202 9.80768 [-(-11+3*x^6-32*x-58*x^3-16*x^4-16*x^5-50*x^2)/(x-1)/(x^2+x+1)/(x^4-5*x^3-7*x-1) lgdogf] A024204 6.45625 [x*(x^11-2*x^10+2*x^9-x^8-x^7-x^5-2*x^3-2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A024206 12.8134 [x*(x^2-x-1)/(x+1)/(x-1)^3 ogf] A024206 20.0180 [-(-3-4*x+2*x^3-x^2)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A024206 6.9989 [-(f(x)-4)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)+x) ogf] A024211 5.18255 [-(f(x)-1)^3 ogf] A024212 19.2878 [-3*(2*x+13)*(2*x+1)/(x-1)/(4*x^2+19*x+4) lgdogf] A024212 3.79581 [{(4*n+16)*a(n+4)+(6+15*n)*a(n+3)+(-114-15*n)*a(n+2)+(-16-4*n)*a(n+1),a(0)=4,a(1)=39,a(2)=159,a(3)=445} ogf] A024212 9.82165 [-(4*x^2+19*x+4)/(x-1)^5 ogf] A024213 11.0444 [-(418+1626*x+32*x^3+759*x^2)/(x-1)/(8*x^3+147*x^2+222*x+28) lgdogf] A024213 6.04229 [-(8*x^3+147*x^2+222*x+28)/(x-1)^7 ogf] A024214 4.42190 [-(16*x^4+887*x^3+4128*x^2+3194*x+280)/(x-1)^9 ogf] A024214 7.43322 [-(5714+33808*x+5386*x^3+80*x^4+31557*x^2)/(x-1)/(16*x^4+887*x^3+4128*x^2+3194*x+280) lgdogf] A024215 11.8571 [(4*x^2+13*x+1)/(x-1)^4 ogf] A024215 22.0336 [-(17+47*x+8*x^2)/(x-1)/(4*x^2+13*x+1) lgdogf] A024215 4.06862 [{(n+4)*a(n+4)+(19+12*n)*a(n+3)+(-65-9*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=1,a(1)=17,a(2)=66,a(3)=166} ogf] A024215 6.05838 [(4736*f(x)+42097)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-13*x-1) ogf] A024216 3.74527 [{(-9*n^2-42*n-49)*a(n+1)+(6*n+17)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=39} ogf] A024217 5.45520 [{(-9*n^2-42*n-49)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=25} ogf] A024219 12.5123 [-(-7+4*x+8*x^3-8*x^4+2*x^5-17*x^2)/(x-1)/(1+x^2)/(x^3-3*x^2+2*x-3) lgdogf] A024219 9.41194 [x*(x^3-3*x^2+2*x-3)/(x^2+1)/(x-1)^3 ogf] A024220 6.93900 [(x^4-8*x^3-7*x^2-11*x-2)/(x^2+x+1)/(x-1)^5 ogf] A024220 8.51086 [-(-19+3*x^6-66*x-122*x^3-63*x^4-28*x^5-110*x^2)/(x-1)/(1+x^2+x)/(x^4-8*x^3-7*x^2-11*x-2) lgdogf] A024224 6.39469 [x*(x^7-2*x^6+2*x^5-3*x^4+2*x^3-3*x^2+2*x-2)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A024305 14.6279 [-2*(-3-14*x+3*x^3+2*x^4-4*x^2)/(x-1)/(x+1)/(x^3+x^2-2*x-4) lgdogf] A024305 8.55430 [-(x^3+x^2-2*x-4)/(x+1)^3/(x-1)^4 ogf] A024306 12.2398 [-(8+36*x-17*x^3-3*x^4+3*x^5+5*x^2)/(x-1)/(x+1)/(x^4-x^3-4*x^2+2*x+6) lgdogf] A024306 7.77792 [(x^4-x^3-4*x^2+2*x+6)/(x+1)^3/(x-1)^4 ogf] A024309 5.30726 [(x^7+2*x^5-3*x^3+x^2-2)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024309 5.88673 [-(6*x^9-17*x^8-4*x^7+14*x^6+10*x-4*x^3-25*x^4-20*x^5+3*x^12+2*x^11+8*x^10+2)/(x^2+x-1)/(x^4+x^2-1)/(x^7+2*x^5-3*x^3+x^2-2) lgdogf] A024312 11.7806 [-2*(6+25*x-17*x^3-3*x^4+3*x^5+2*x^2)/(x-1)/(x+1)/(2*x^4-2*x^3-8*x^2+3*x+9) lgdogf] A024312 8.14069 [(2*x^4-2*x^3-8*x^2+3*x+9)/(x+1)^3/(x-1)^4 ogf] A024313 3.59794 [(2*x^7+3*x^5+x^4-4*x^3+2*x^2-3)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024315 3.37663 [(2*x^6+x^5+4*x^4+2*x^3-2*x^2-3*x-3)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024343 4.14394 [{(64*n^2+256*n+252)*a(n+1)+a(n+2),a(0)=2,a(1)=-120} ogf] A024346 3.40354 [(17716644975814615*f(x)+139783333561344)*(594*f(x)*x^4-813*f(x)*x^3+245*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A024346 8.40674 [-(-27+490*x+2376*x^3-2439*x^2)/(x-1)/(9*x-1)/(6*x-1)/(11*x-1) lgdogf] A024346 9.35971 [1/(x-1)/(9*x-1)/(6*x-1)/(11*x-1) ogf] A024347 3.77097 [(16486960219*f(x)+118920960)*(648*f(x)*x^4-882*f(x)*x^3+261*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A024347 8.31974 [-2*(-14+261*x+1296*x^3-1323*x^2)/(x-1)/(9*x-1)/(6*x-1)/(12*x-1) lgdogf] A024347 9.56209 [1/(x-1)/(9*x-1)/(6*x-1)/(12*x-1) ogf] A024352 11.0694 [-(x^4+2*x^3-2*x^2-2*x-3)/(x^2+x+1)/(x-1)^2 ogf] A024352 11.6037 [-(-5-9*x-2*x^3-x^4+3*x^5-10*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^3-2*x^2-2*x-3) lgdogf] A024352 6.9038 [(9*f(x)+46)*(f(x)*x^4-f(x)*x^3+x^4+2*x^3-f(x)*x-2*x^2+f(x)-2*x-3) ogf] A024378 18.6481 [-(59+154*x+27*x^2)/(x-1)/(9*x^2+34*x+5) lgdogf] A024378 3.56375 [{(5*n+20)*a(n+4)+(28+29*n)*a(n+3)+(-204-25*n)*a(n+2)+(-36-9*n)*a(n+1),a(0)=5,a(1)=59,a(2)=254,a(3)=730} ogf] A024378 9.26575 [-(9*x^2+34*x+5)/(x-1)^5 ogf] A024379 11.1630 [-4*(203+941*x+27*x^3+509*x^2)/(x-1)/(27*x^3+391*x^2+497*x+45) lgdogf] A024379 6.25203 [-(27*x^3+391*x^2+497*x+45)/(x-1)^7 ogf] A024380 4.57305 [-(81*x^4+3412*x^3+13678*x^2+9124*x+585)/(x-1)^9 ogf] A024380 7.20110 [-(14389+100348*x+20796*x^3+405*x^4+105982*x^2)/(x-1)/(81*x^4+3412*x^3+13678*x^2+9124*x+585) lgdogf] A024381 11.1423 [(9*x^2+22*x+1)/(x-1)^4 ogf] A024381 19.1379 [-2*(3*x+13)*(3*x+1)/(x-1)/(9*x^2+22*x+1) lgdogf] A024381 3.76792 [{(n+4)*a(n+4)+(37+21*n)*a(n+3)+(-110-13*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=1,a(1)=26,a(2)=107,a(3)=276} ogf] A024381 5.61121 [(22040*f(x)+332399)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-22*x-1) ogf] A024382 4.60100 [{(-16*n^2-72*n-81)*a(n+1)+(8*n+22)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=59} ogf] A024385 5.99442 [x*(x^6-2*x^5-2*x^4-2*x^3-x^2-3*x-3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A024386 20.6408 [-(-29-54*x+3*x^2)/(x-1)/(x^2-14*x-3) lgdogf] A024386 3.69410 [{(-3*n-12)*a(n+4)+(-4-11*n)*a(n+3)+(84+15*n)*a(n+2)+(-4-n)*a(n+1),a(0)=3,a(1)=29,a(2)=114,a(3)=310} ogf] A024386 9.46612 [(x^2-14*x-3)/(x-1)^5 ogf] A024388 4.34789 [(x^20-2*x^19+x^18+x^12-2*x^11+x^10+x^9-x^8-x^7-2*x^6-x^5-2*x^4-x^3-x^2-x-3)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A024390 4.96208 [x*(x^16-2*x^15+x^14+x^4-2*x^2-x-2)/(x^2+1)/(x+1)/(x-1)^3 ogf] A024391 20.7663 [-3*(22+22*x+x^2)/(x-1)/(x^2+16*x+10) lgdogf] A024391 3.67968 [{(10*n+40)*a(n+4)+(-48+6*n)*a(n+3)+(-96-15*n)*a(n+2)+(-4-n)*a(n+1),a(0)=10,a(1)=66,a(2)=231,a(3)=595} ogf] A024391 9.40363 [-(x^2+16*x+10)/(x-1)^5 ogf] A024392 11.9661 [-(806+1632*x+4*x^3+393*x^2)/(x-1)/(x^3+78*x^2+246*x+80) lgdogf] A024392 3.47756 [{(-6*n^2-65*n-175)*a(n+1)+(-15*n^2-242*n-827)*a(n+2)+(21*n^2+145*n+246)*a(n+3),a(0)=80,a(1)=806,a(2)=4040} ogf] A024392 6.15751 [-(x^3+78*x^2+246*x+80)/(x-1)^7 ogf] A024393 4.49606 [-(x^4+332*x^3+3048*x^2+4244*x+880)/(x-1)^9 ogf] A024393 7.78484 [-(12164+40048*x+1996*x^3+5*x^4+22332*x^2)/(x-1)/(x^4+332*x^3+3048*x^2+4244*x+880) lgdogf] A024394 11.5140 [(x^2+13*x+4)/(x-1)^4 ogf] A024394 22.6094 [-(29+41*x+2*x^2)/(x-1)/(x^2+13*x+4) lgdogf] A024394 3.97036 [{(4*n+16)*a(n+4)+(-2+9*n)*a(n+3)+(-65-12*n)*a(n+2)+(-3-n)*a(n+1),a(0)=4,a(1)=29,a(2)=93,a(3)=214} ogf] A024394 5.7162 [(108320*f(x)+1169439)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-13*x-4) ogf] A024395 3.88111 [{(-9*n^2-48*n-64)*a(n+1)+(6*n+19)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=66} ogf] A024396 5.54650 [{(-9*n^2-48*n-64)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=34} ogf] A024398 11.2231 [-(-4+x^6-3*x^4-2*x^5-10*x^2)/(x-1)/(x^2+1)/(x^4-2*x^3-x-1) lgdogf] A024398 7.44224 [x*(x^4-2*x^3-x-1)/(x^2+1)/(x-1)^3 ogf] A024399 6.97157 [(x^4-5*x^3-7*x^2-11*x-5)/(x^2+x+1)/(x-1)^5 ogf] A024399 8.55158 [-(-31+3*x^6-78*x-110*x^3-51*x^4-16*x^5-122*x^2)/(x-1)/(x+x^2+1)/(x^4-5*x^3-7*x^2-11*x-5) lgdogf] A024401 6.43044 [(x^4-x^3-x^2-x-1)/(x^2+x+1)/(x-1)^3 ogf] A024401 8.83312 [-(-3+x^6-6*x-4*x^3-3*x^4-12*x^2)/(x-1)/(x+x^2+1)/(x^4-x^3-x^2-x-1) lgdogf] A024415 2.12939 [-(2*f(x)*x-f(x)-x+1)^3 ogf] A024434 3.4443 [(11161944182268827*f(x)+78953912433000)*(660*f(x)*x^4-896*f(x)*x^3+263*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A024434 8.05694 [-2*(-14+263*x+1320*x^3-1344*x^2)/(x-1)/(6*x-1)/(10*x-1)/(11*x-1) lgdogf] A024434 9.41030 [1/(x-1)/(6*x-1)/(10*x-1)/(11*x-1) ogf] A024435 3.29245 [(452420734229*f(x)+2925528000)*(720*f(x)*x^4-972*f(x)*x^3+280*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A024435 7.46811 [-(-29+560*x+2880*x^3-2916*x^2)/(x-1)/(6*x-1)/(12*x-1)/(10*x-1) lgdogf] A024435 8.46630 [1/(x-1)/(6*x-1)/(12*x-1)/(10*x-1) ogf] A024436 3.17654 [(335164352498111*f(x)+1963832276736)*(792*f(x)*x^4-1062*f(x)*x^3+299*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A024436 7.32137 [-2*(-15+299*x+1584*x^3-1593*x^2)/(x-1)/(6*x-1)/(12*x-1)/(11*x-1) lgdogf] A024436 8.41505 [1/(x-1)/(6*x-1)/(12*x-1)/(11*x-1) ogf] A024437 3.55738 [(495637236416051279*f(x)+4627553208477696)*(504*f(x)*x^4-695*f(x)*x^3+215*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A024437 9.05649 [-(-25+430*x+2016*x^3-2085*x^2)/(x-1)/(8*x-1)/(7*x-1)/(9*x-1) lgdogf] A024437 9.90984 [1/(x-1)/(8*x-1)/(7*x-1)/(9*x-1) ogf] A024438 3.34174 [(199894816740854807*f(x)+1673276140928000)*(560*f(x)*x^4-766*f(x)*x^3+231*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A024438 8.09489 [-2*(-13+231*x+1120*x^3-1149*x^2)/(x-1)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A024438 9.30912 [1/(x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A024439 3.31737 [(1828234225970707047*f(x)+13867896748783616)*(616*f(x)*x^4-837*f(x)*x^3+247*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A024439 8.40674 [-(-27+494*x+2464*x^3-2511*x^2)/(x-1)/(7*x-1)/(11*x-1)/(8*x-1) lgdogf] A024439 9.35971 [1/(x-1)/(7*x-1)/(11*x-1)/(8*x-1) ogf] A024440 3.52288 [(5494036424721239*f(x)+38097609596928)*(672*f(x)*x^4-908*f(x)*x^3+263*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A024440 8.31974 [-2*(-14+263*x+1344*x^3-1362*x^2)/(x-1)/(7*x-1)/(12*x-1)/(8*x-1) lgdogf] A024440 9.56209 [1/(x-1)/(7*x-1)/(12*x-1)/(8*x-1) ogf] A024441 3.31737 [(5222124992667743207*f(x)+38670310651896000)*(630*f(x)*x^4-853*f(x)*x^3+249*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A024441 8.54685 [-3*(-9+166*x+840*x^3-853*x^2)/(x-1)/(9*x-1)/(7*x-1)/(10*x-1) lgdogf] A024441 9.35971 [1/(x-1)/(9*x-1)/(7*x-1)/(10*x-1) ogf] A024442 3.31432 [(13852687537621857037*f(x)+92950641614743605)*(693*f(x)*x^4-932*f(x)*x^3+266*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A024442 8.59407 [-4*(-7+133*x+693*x^3-699*x^2)/(x-1)/(9*x-1)/(7*x-1)/(11*x-1) lgdogf] A024442 9.41030 [1/(x-1)/(9*x-1)/(7*x-1)/(11*x-1) ogf] A024443 3.12146 [(483790945520999*f(x)+2967448442112)*(756*f(x)*x^4-1011*f(x)*x^3+283*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A024443 7.54508 [-(-29+566*x+3024*x^3-3033*x^2)/(x-1)/(9*x-1)/(7*x-1)/(12*x-1) lgdogf] A024443 8.26912 [1/(x-1)/(9*x-1)/(7*x-1)/(12*x-1) ogf] A024444 3.26776 [(228839787625651538803*f(x)+1376430574421056000)*(770*f(x)*x^4-1027*f(x)*x^3+285*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A024444 8.40824 [-(-29+570*x+3080*x^3-3081*x^2)/(x-1)/(7*x-1)/(10*x-1)/(11*x-1) lgdogf] A024444 9.34461 [1/(x-1)/(7*x-1)/(10*x-1)/(11*x-1) ogf] A024445 11.1020 [-6*(-5+101*x+560*x^3-557*x^2)/(x-1)/(7*x-1)/(12*x-1)/(10*x-1) lgdogf] A024445 12.0877 [1/(x-1)/(7*x-1)/(12*x-1)/(10*x-1) ogf] A024445 4.33333 [(3260148772539006233*f(x)+17924677057728000)*(840*f(x)*x^4-1114*f(x)*x^3+303*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A024446 11.0654 [-(-31+646*x+3696*x^3-3651*x^2)/(x-1)/(7*x-1)/(12*x-1)/(11*x-1) lgdogf] A024446 12.2427 [1/(x-1)/(7*x-1)/(12*x-1)/(11*x-1) ogf] A024446 4.28118 [(805065917548386739097*f(x)+4010379565292432640)*(924*f(x)*x^4-1217*f(x)*x^3+323*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A024458 7.44058 [-(x^3-x^2+1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A024458 8.22691 [-(-1+5*x^8-7*x^7-2*x^6-5*x-7*x^3+11*x^5-4*x^2)/(x^2+1)/(x^2+x-1)/(x^2-x-1)/(x^3-x^2+1) lgdogf] A024459 4.88283 [(3*x^3-x^2-2*x-1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A024463 5.49190 [-(5*x^5-3*x^4+3*x^3-x^2-x-1)/(x-1)^2/(x^4+x^2-1)^2 ogf] A024463 6.95450 [-(3+25*x^9-33*x^8+38*x^7-24*x^6+7*x+20*x^3-41*x^4+21*x^5-12*x^2)/(x-1)/(x^4+x^2-1)/(5*x^5-3*x^4+3*x^3-x^2-x-1) lgdogf] A024469 4.14092 [-(2*x^5-4*x^4-x^3+7*x^2+2*x+1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A024472 4.38438 [(2*x^4-x^3-4*x^2-x-1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A024473 5.31182 [-(6*x^7-2*x^6+7*x^5-x^4+5*x^3-7*x^2-x-1)/(x-1)^2/(x^4+x^2-1)^2 ogf] A024482 11.7706 [1/2*(-2-3*x+x^2+((x^2+8*x+4)*(1+x)^2)^(1/2))/(2*x+1)^2 revogf] A024482 3.52349 [{(-4*n^2-18*n-20)*a(n+1)+(17*n^2+125*n+224)*a(n+2)+(-4*n^2-32*n-60)*a(n+3),a(0)=2,a(1)=7,a(2)=25} ogf] A024482 6.54872 [-4*f(x)^2*x^3+f(x)^2*x^2-4*f(x)*x^2-3*f(x)*x+f(x)-x-2 ogf] A024483 5.71950 [{(-4*n^2-18*n-20)*a(n+1)+(n^2+5*n+4)*a(n+2),a(0)=0,a(1)=2} ogf] A024483 7.20894 [-4*f(x)^2*x^3+f(x)^2*x^2+8*f(x)*x^2-10*f(x)*x+2*f(x)-4*x ogf] A024484 2.34329 [-f(x)^3*x^2+2*f(x)^2*x-2*f(x)*x-f(x)-x+2 ogf] A024484 7.80637 [(-1+(-x+1)^(1/2))*(x-1) revogf] A024485 18.5469 [-27*x+2-3*f(x)+f(x)^3 ogf] A024485 4.18926 [{(27*n^2+54*n+24)*a(n+1)+(-4*n^2-14*n-12)*a(n+2),a(0)=-2,a(1)=3} ogf] A024485 8.44608 [-2*hypergeom([-1/3,1/3],[1/2],27/4*x) ogf] A024486 4.61834 [{(54*n^3+243*n^2+363*n+180)*a(n+1)+(-2*n^3-13*n^2-28*n-20)*a(n+2),a(0)=1,a(1)=2} ogf] A024487 4.94746 [{(-54*n^3-405*n^2-1011*n-840)*a(n+1)+(2*n^3+19*n^2+60*n+63)*a(n+2),a(0)=1,a(1)=9} ogf] A024488 3.93884 [{(27*n^2+108*n+105)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=3,a(1)=18} ogf] A024489 5.67688 [{(27*n^2+108*n+105)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=1,a(1)=6} ogf] A024490 18.4923 [-2*(x+1)*(2*x^2-2*x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A024490 21.3873 [-1/(x^2-x+1)/(x^2+x-1) ogf] A024490 7.60894 [-(13*f(x)-6)*(f(x)*x^4-f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A024491 20.0431 [-4/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdogf] A024491 5.94053 [{(32*n^2+64*n+30)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=-1,a(1)=2} ogf] A024492 28.1431 [-x*(x-1)*(-1+2*x)^2 revogf] A024492 4.30142 [{(32*n^2+128*n+126)*a(n+1)+(-2*n^2-11*n-15)*a(n+2),a(0)=1,a(1)=5} ogf] A024493 12.0821 [-(x-1)^2/(2*x-1)/(x^2-x+1) ogf] A024493 16.0645 [-(-1+3*x+2*x^3-6*x^2)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A024493 6.58044 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A024493 6.63972 [(f(x)-1)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A024494 15.4289 [(x-1)/(2*x-1)/(x^2-x+1) ogf] A024494 17.8558 [-(-2+6*x+4*x^3-9*x^2)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A024494 7.30116 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A024494 8.60768 [f(x)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A024495 18.9040 [-x^2/(2*x-1)/(x^2-x+1) ogf] A024495 22.5869 [-3*(2*x^2-2*x+1)/(2*x-1)/(x^2-x+1) lgdogf] A024495 7.04605 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A024495 9.56871 [2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A024496 7.83909 [-3/32+3/8*x-1/4*x^2+1/32*(9-8*x)^(1/2) revogf] A024497 6.53439 [-x+1-(x-1)^(4/3)*(-1)^(2/3) revogf] A024537 12.4412 [-(x^2+x-1)/(x-1)/(x^2+2*x-1) ogf] A024537 14.9035 [-(2-4*x+2*x^3+x^4+x^2)/(x-1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A024537 6.59923 [-(5*f(x)+3)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1) ogf] A024537 6.77600 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A024551 10.9929 [-(x^2+x-1)/(x-1)/(x^2+4*x-1) ogf] A024551 12.6511 [-(4-8*x+2*x^3+x^4+5*x^2)/(x-1)/(x^2+x-1)/(x^2+4*x-1) lgdogf] A024551 5.93424 [{-a(n+3)+5*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A024551 6.04117 [(7*f(x)+1)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+x^2+f(x)+x-1) ogf] A024591 4.91582 [(x^4-2*x^2-x-1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A024592 4.90294 [-(3*x^7-x^6+6*x^5-2*x^4+4*x^3-4*x^2-x-1)/(x-1)^2/(x^4+x^2-1)^2 ogf] A024598 10.7901 [-(3+25*x+54*x^3+11*x^4+9*x^5+26*x^2)/(x-1)/(x+1)/(3*x^4+2*x^3+8*x^2+2*x+1) lgdogf] A024598 7.46423 [(3*x^4+2*x^3+8*x^2+2*x+1)/(x+1)^3/(x-1)^4 ogf] A024638 4.68867 [x*(10*x^11+10*x^10+10*x^9+10*x^8+10*x^7+10*x^6-45*x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(10*x^6-1)/(x-1)^2 ogf] A024643 4.16663 [x*(10*x^13+10*x^12+10*x^11+10*x^10+10*x^9+10*x^8+10*x^7-54*x^6-x^5-x^4-x^3-x^2-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(10*x^7-1)/(x-1)^2 ogf] A024646 4.26545 [x*(24581*x^24-23904*x^23+3899*x^16-3904*x^15+93*x^8-160*x^7-5)/(677*x^24-5*x^16-67*x^8-5)/(x-1)^2 ogf] A024658 4.89170 [x*(73*x^30-60*x^29+39*x^20-40*x^19+19*x^10-20*x^9-1)/(13*x^30-x^20-x^10-1)/(x-1)^2 ogf] A024718 5.00881 [{(4*n+10)*a(n+1)+(-5*n-13)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A024718 5.99479 [4*f(x)^2*x^3-9*f(x)^2*x^2+6*f(x)^2*x+4*f(x)*x^2-f(x)^2-5*f(x)*x+f(x)+x ogf] A024719 4.51682 [{(-27*n^2-135*n-168)*a(n+1)+(31*n^2+157*n+198)*a(n+2)+(-4*n^2-22*n-30)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A024771 3.35655 [(1119486981296859241*f(x)+7208987548032000)*(720*f(x)*x^4-962*f(x)*x^3+269*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A024771 8.18483 [-2*(-14+269*x+1440*x^3-1443*x^2)/(x-1)/(9*x-1)/(8*x-1)/(10*x-1) lgdogf] A024771 9.41030 [1/(x-1)/(9*x-1)/(8*x-1)/(10*x-1) ogf] A024772 3.23299 [(276447756391021455523*f(x)+1612960420844906496)*(792*f(x)*x^4-1051*f(x)*x^3+287*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A024772 8.45318 [-(-29+574*x+3168*x^3-3153*x^2)/(x-1)/(9*x-1)/(11*x-1)/(8*x-1) lgdogf] A024772 9.24521 [1/(x-1)/(9*x-1)/(11*x-1)/(8*x-1) ogf] A024778 3.22526 [(2813780306719*f(x)+15006560256)*(864*f(x)*x^4-1140*f(x)*x^3+305*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A024778 7.34956 [-2*(-15+305*x+1728*x^3-1710*x^2)/(x-1)/(8*x-1)/(12*x-1)/(9*x-1) lgdogf] A024778 8.31777 [1/(x-1)/(8*x-1)/(12*x-1)/(9*x-1) ogf] A024786 18.2720 [-(-x^2+x+1)/(x-1) ogf_with_Euler_transform] A024787 17.7759 [-(-x^3+x^2+1)/(x-1) ogf_with_Euler_transform] A024788 17.0649 [-(-x^4+x^3+1)/(x-1) ogf_with_Euler_transform] A024789 16.4329 [-(-x^5+x^4+1)/(x-1) ogf_with_Euler_transform] A024790 17.0851 [-(-x^6+x^5+1)/(x-1) ogf_with_Euler_transform] A024812 11.7204 [(x^15-x^14+3*x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A024812 9.09154 [(-4-10*x+11*x^17-11*x^16-14*x^14+14*x^13-9*x^3-6*x^4-13*x^2)/(x-1)/(x^15-x^14+3*x^2+2*x+2)/(x^2+x+1) lgdogf] A024813 10.5313 [(2*x^15-2*x^14-x^3+5*x^2+3*x+4)/(x^2+x+1)/(x-1)^2 ogf] A024813 7.96207 [(-7-17*x+22*x^17-22*x^16-28*x^14+28*x^13-13*x^3-9*x^4+x^5-21*x^2)/(x-1)/(x^2+x+1)/(2*x^15-2*x^14-x^3+5*x^2+3*x+4) lgdogf] A024814 12.6343 [x*(333*x^17+9*x^2+12*x+1)/(x-1)^2 ogf] A024814 14.3349 [(-14-30*x+4995*x^17-5661*x^16)/(x-1)/(333*x^17+9*x^2+12*x+1) lgdogf] A024817 6.46973 [(x^7-2*x^6+10*x^4+10*x^3+6*x^2+13*x+7)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A024831 5.62538 [(x^6+3*x^5+2*x^4-8*x^3-4*x^2+3*x+2)/(x-1)/(x^2+x-1) ogf] A024851 2.75006 [(5*f(x)+2)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)-3*x+2) ogf] A024851 4.75766 [(3*x-2)/(x-1)/(x^2-3*x+1) ogf] A024853 23.3378 [-2*(2+11*x+3*x^2)/(x-1)/(x+3)/(x+1) lgdogf] A024853 4.16154 [{(-3*n-12)*a(n+4)+(1-n)*a(n+3)+(28+3*n)*a(n+2)+(7+n)*a(n+1),a(0)=3,a(1)=4,a(2)=13,a(3)=16} ogf] A024853 9.79186 [(x+3)/(x+1)^3/(x-1)^4 ogf] A024854 19.1937 [-(-5-27*x+5*x^3-5*x^2)/(x-1)/(x+1)/(x^2-x-4) lgdogf] A024854 9.24830 [-(x^2-x-4)/(x+1)^3/(x-1)^4 ogf] A024857 4.37297 [-(x^5+2*x^2+x+1)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024857 5.06971 [-(-2+27*x^6-10*x-2*x^8+16*x^7+5*x^10+4*x^9-2*x^3+8*x^4+18*x^5+3*x^2)/(x^2+x-1)/(x^4+x^2-1)/(x^5+2*x^2+x+1) lgdogf] A024858 3.61380 [(x^5-2*x^4-4*x^3-2*x^2-x-3)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024861 4.02066 [-(x^4+2*x^3+2*x^2+x+2)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024862 17.2864 [-(5+29*x+15*x^3+15*x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A024862 5.04347 [{(2*n^2+23*n+66)*a(n+1)+(9+2*n)*a(n+2)+(-2*n^2-13*n-21)*a(n+3),a(0)=3,a(1)=5,a(2)=17} ogf] A024862 9.27348 [(3*x^2+2*x+3)/(x+1)^3/(x-1)^4 ogf] A024868 12.6484 [-(8+36*x-17*x^3-3*x^4+3*x^5+5*x^2)/(x-1)/(x+1)/(x^4-x^3-4*x^2+2*x+6) lgdogf] A024868 8.03358 [(x^4-x^3-4*x^2+2*x+6)/(x+1)^3/(x-1)^4 ogf] A024869 12.4106 [-2*(5+22*x-14*x^3-x^4+3*x^5+x^2)/(x-1)/(x+1)/(2*x^4-x^3-7*x^2+2*x+8) lgdogf] A024869 7.88446 [(2*x^4-x^3-7*x^2+2*x+8)/(x+1)^3/(x-1)^4 ogf] A024872 5.06604 [(x+1)*(x^5-x^4+3*x^3-2*x^2-2)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024872 5.50994 [-(4-27*x^6+16*x+16*x^8-8*x^7+4*x^11+3*x^10+10*x^9-6*x^3-14*x^4-32*x^5-7*x^2)/(x+1)/(x^2+x-1)/(x^4+x^2-1)/(x^5-x^4+3*x^3-2*x^2-2) lgdogf] A024873 5.30932 [(2*x^7+x^6+4*x^5+2*x^4-5*x^3-2*x-6)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024874 4.97299 [(x^7+x^6+2*x^5+2*x^4-2*x^3-x^2-2*x-4)/(x^2+x-1)/(x^4+x^2-1)^2 ogf] A024875 11.5090 [-(15+61*x-51*x^3-4*x^4+12*x^5-x^2)/(x-1)/(x+1)/(4*x^4-2*x^3-13*x^2+3*x+12) lgdogf] A024875 7.81215 [(4*x^4-2*x^3-13*x^2+3*x+12)/(x+1)^3/(x-1)^4 ogf] A024876 4.65008 [-(2979*f(x)+1942)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+4*x^3-3*f(x)*x+3*x^2+f(x)+2*x-3) ogf] A024876 8.27275 [-(7+4*x^6-12*x+16*x^3+5*x^4+6*x^5-10*x^2)/(4*x^3+3*x^2+2*x-3)/(x^4+x^3+x^2-3*x+1) lgdogf] A024876 8.87743 [-(4*x^3+3*x^2+2*x-3)/(x^4+x^3+x^2-3*x+1) ogf] A024926 12.1336 [(-3-11*x^10+9*x^11+x+28*x^30-30*x^29-4*x^3+2*x^4)/(x-1)/(x^30+x^11+x^4-x+2) lgdogf] A024926 13.0523 [(x^30+x^11+x^4-x+2)/(x-1)^2 ogf] A024966 16.6504 [-7*x/(x-1)^3 ogf] A024966 6.68991 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=21} ogf] A024966 9.73077 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+7*x ogf] A024966 92.2396 [-3/(x-1) lgdogf] A024998 3.85933 [-3*f(x)^2*x^4-2*f(x)^2*x^3-3*f(x)*x^4+f(x)^2*x^2+4*f(x)*x^3-x^4+2*f(x)*x^2+4*x^3-4*f(x)*x-6*x^2+f(x)+4*x-1 ogf] A024999 3.3891 [(1486583556163765633*f(x)+7774348937344000)*(880*f(x)*x^4-1158*f(x)*x^3+307*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A024999 8.18975 [-2*(-15+307*x+1760*x^3-1737*x^2)/(x-1)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A024999 9.39433 [1/(x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A025007 3.17654 [(496371086567113*f(x)+2372715072000)*(960*f(x)*x^4-1256*f(x)*x^3+326*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A025007 7.55754 [-(-31+652*x+3840*x^3-3768*x^2)/(x-1)/(12*x-1)/(10*x-1)/(8*x-1) lgdogf] A025007 8.41505 [1/(x-1)/(12*x-1)/(10*x-1)/(8*x-1) ogf] A025008 3.07281 [(122574598157664451*f(x)+530819955376128)*(1056*f(x)*x^4-1372*f(x)*x^3+347*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A025008 7.36469 [-2*(-16+347*x+2112*x^3-2058*x^2)/(x-1)/(12*x-1)/(11*x-1)/(8*x-1) lgdogf] A025008 8.31778 [1/(x-1)/(12*x-1)/(11*x-1)/(8*x-1) ogf] A025009 2.90784 [(1281589323667382697689*f(x)+5927097965593464000)*(990*f(x)*x^4-1289*f(x)*x^3+329*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A025009 7.51282 [-(-31+658*x+3960*x^3-3867*x^2)/(x-1)/(9*x-1)/(10*x-1)/(11*x-1) lgdogf] A025009 8.36640 [1/(x-1)/(9*x-1)/(10*x-1)/(11*x-1) ogf] A025030 4.78375 [-(x^6-x^5-5*x^4+4*x^3+6*x^2-3*x-1)/(x-1)/(x^2-x-1)/(x^4+x^3-4*x^2-4*x+1) ogf] A025031 3.13267 [(8348452022148317*f(x)+35289323136000)*(1080*f(x)*x^4-1398*f(x)*x^3+349*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A025031 7.36469 [-2*(-16+349*x+2160*x^3-2097*x^2)/(x-1)/(9*x-1)/(12*x-1)/(10*x-1) lgdogf] A025031 8.31778 [1/(x-1)/(9*x-1)/(12*x-1)/(10*x-1) ogf] A025035 6.81831 [{(9*n^2+27*n+20)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A025036 3.89526 [{(-32*n^3-144*n^2-214*n-105)*a(n+1)+3*a(n+2),a(0)=1,a(1)=1} ogf] A025065 21.8967 [-(x^2-x-1)/(-x^2+1) ogf_with_Euler_transform] A025078 7.54566 [(x^3-x-1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A025078 7.72629 [-(x+1)*(5*x^7-6*x^6-4*x^5-5*x^4+12*x^3-2*x^2+6*x+2)/(x^2+1)/(x^2+x-1)/(x^2-x-1)/(x^3-x-1) lgdogf] A025079 4.76429 [-(x^3-2*x^2+x+3)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A025082 5.41034 [(x+1)*(x-2)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A025082 5.63027 [-(3-8*x^6+13*x+6*x^7+17*x^3+7*x^4-20*x^5+8*x^2)/(x-2)/(x+1)/(x^2+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A025083 5.81708 [-(3*x^5-x^4+x^3+x^2+x-3)/(x-1)^2/(x^4+x^2-1)^2 ogf] A025083 7.72452 [-(5+4*x^6+9*x+14*x^7+32*x^3-51*x^4+15*x^5-24*x^2+15*x^9-15*x^8)/(x-1)/(x^4+x^2-1)/(3*x^5-x^4+x^3+x^2+x-3) lgdogf] A025089 4.00997 [(4*x^5+2*x^4-7*x^3-6*x^2-x-3)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A025092 3.92643 [(2*x^5+2*x^4-4*x^3-5*x^2-x-2)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A025105 4.14092 [(x^5+x^4-2*x^3-2*x^2-x-2)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A025106 5.19430 [-(x^7+x^6+2*x^5+2*x^4+4*x^3-4*x^2+x-3)/(x-1)^2/(x^4+x^2-1)^2 ogf] A025106 6.05898 [-(5-49*x^6+19*x+29*x^7+33*x^3-63*x^4+45*x^5-33*x^2+3*x^11+3*x^10+7*x^9+9*x^8)/(x-1)/(x^4+x^2-1)/(x^7+x^6+2*x^5+2*x^4+4*x^3-4*x^2+x-3) lgdogf] A025112 11.6881 [-(5+39*x+46*x^3+9*x^4+3*x^5+26*x^2)/(x-1)/(x+1)/(x^4+2*x^3+8*x^2+2*x+3) lgdogf] A025112 7.75302 [(x^4+2*x^3+8*x^2+2*x+3)/(x+1)^3/(x-1)^4 ogf] A025130 3.05159 [(2061578836411777373*f(x)+7894422629026560)*(1188*f(x)*x^4-1527*f(x)*x^3+371*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A025130 7.64698 [-(-33+742*x+4752*x^3-4581*x^2)/(x-1)/(9*x-1)/(12*x-1)/(11*x-1) lgdogf] A025130 8.36557 [1/(x-1)/(9*x-1)/(12*x-1)/(11*x-1) ogf] A025147 16.6948 [-(x^3-x^2-x)/(-x^2+1) ogf_with_Euler_transform] A025148 15.4338 [-(-x^5+x^3+x^2)/(x^2-1) ogf_with_Euler_transform] A025149 15.7600 [-(-x^7+x^4+x^3)/(x^2-1) ogf_with_Euler_transform] A025150 15.7296 [-(x^9-x^5-x^4)/(-x^2+1) ogf_with_Euler_transform] A025151 15.4958 [-(-x^11+x^6+x^5)/(x^2-1) ogf_with_Euler_transform] A025152 15.3825 [-(x^13-x^7-x^6)/(-x^2+1) ogf_with_Euler_transform] A025153 15.4108 [-(-x^15+x^8+x^7)/(x^2-1) ogf_with_Euler_transform] A025154 15.5837 [-(x^17-x^9-x^8)/(-x^2+1) ogf_with_Euler_transform] A025155 15.0746 [-(-x^19+x^10+x^9)/(x^2-1) ogf_with_Euler_transform] A025163 10.6529 [-6*(-1+4*x)/(8*x^2+1-4*x) lgdogf] A025164 6.29545 [{-a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A025166 34.6874 [-(-1+4*x)/(2*x-1)^2 lgdegf] A025166 4.49360 [{(4*n^2+16*n+16)*a(n+1)+(-4*n-9)*a(n+2)+a(n+3),a(0)=-1,a(1)=-1,a(2)=-1} ogf] A025167 29.9686 [-(-3+4*x)/(2*x-1)^2 lgdegf] A025167 3.97921 [{(-4*n^2-16*n-16)*a(n+1)+(4*n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=17} ogf] A025168 32.9530 [1+(-1+4*x-4*x^2)*f(x) lgdegf] A025168 5.96608 [{(4*n^2+4*n)*a(n)+(-4*n-5)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A025169 15.7557 [-1/2*(-3*x-2+(5*x+2)^(1/2)*(x+2)^(1/2))/x revogf] A025169 19.9748 [2/(x^2-3*x+1) ogf] A025169 30.7612 [-(-3+2*x)/(x^2+1-3*x) lgdogf] A025169 7.94178 [(55*f(x)+52)*(f(x)*x^2-3*f(x)*x+f(x)-2) ogf] A025169 8.03863 [{-a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=6} ogf] A025170 22.1137 [1/(9*x^2+2*x+1) ogf] A025170 31.9336 [-2*(1+9*x)/(9*x^2+1+2*x) lgdogf] A025170 8.38796 [-(11*f(x)-27)*(9*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A025170 8.89941 [{-a(n+2)-2*a(n+1)-9*a(n),a(0)=1,a(1)=-2} ogf] A025171 20.5440 [1/(16*x^2+2*x+1) ogf] A025171 21.0428 [-2*(1+16*x)/(16*x^2+1+2*x) lgdogf] A025171 8.12205 [-(5*f(x)-4)*(16*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A025171 8.41563 [{-a(n+2)-2*a(n+1)-16*a(n),a(0)=1,a(1)=-2} ogf] A025172 14.9411 [-(x-1)/(9*x^2-2*x+1) ogf] A025172 20.0575 [-(1-18*x+9*x^2)/(x-1)/(9*x^2-2*x+1) lgdogf] A025172 7.72817 [(40*f(x)-39)*(9*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A025172 8.19940 [{a(n+2)-2*a(n+1)+9*a(n),a(0)=1,a(1)=1} ogf] A025173 10.0139 [-x*(9*x-1)/(9*x^2-2*x+1)^2 ogf] A025173 18.0010 [-(-5-54*x+243*x^2)/(9*x-1)/(9*x^2-2*x+1) lgdogf] A025173 3.35440 [{(-3-n)*a(n+4)+(17+11*n)*a(n+3)+(-81-27*n)*a(n+2)+(243+81*n)*a(n+1),a(0)=0,a(1)=1,a(2)=-5,a(3)=-42} ogf] A025173 4.93436 [(295424*f(x)+331767)*(81*f(x)*x^4-36*f(x)*x^3+22*f(x)*x^2-4*f(x)*x+9*x^2+f(x)-x) ogf] A025174 26.3858 [x*(2*x+1)^2/(3*x+1)^3 revogf] A025174 4.98439 [{(27*n^2+27*n+6)*a(n)+(-4*n^2-6*n-2)*a(n+1),a(0)=0,a(1)=1} ogf] A025174 5.26389 [27*f(x)^3*x-4*f(x)^3+27*f(x)^2*x-4*f(x)^2+9*f(x)*x-f(x)+x ogf] A025175 10.0896 [(-32*x^2+6*x-1+(1-4*x+16*x^2)^(1/2))/(1-4*x+16*x^2)/x lgdogf] A025175 4.45004 [48*f(x)^2*x^4-12*f(x)^2*x^3+3*f(x)^2*x^2-16*f(x)*x^2+4*f(x)*x-f(x)+1 ogf] A025178 3.93463 [{(3*n^2+15*n+18)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=2,a(2)=4} ogf] A025178 6.1631 [-3*f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-6*f(x)*x^2-4*f(x)*x+2*f(x)-4*x ogf] A025190 3.0122 [(72735461989712020381*f(x)+249597929984832000)*(1320*f(x)*x^4-1682*f(x)*x^3+395*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A025190 7.33670 [-2*(-17+395*x+2640*x^3-2523*x^2)/(x-1)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A025190 8.41338 [1/(x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A025192 15.1608 [-3*f(x)*x+f(x)+x-1 ogf] A025192 18.4389 [(x-1)/(3*x-1) ogf] A025192 20.2744 [1/2+3/2*x-1/2*(1+2*x+9*x^2)^(1/2) revogf] A025192 44.6037 [2/(x-1)/(3*x-1) lgdogf] A025192 9.47554 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=2} ogf] A025211 12.1307 [-2*(-7+71*x+240*x^3-231*x^2)/(-1+4*x)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A025211 13.6821 [1/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A025211 5.26237 [(27931366199*f(x)+13769568000)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A025225 17.9717 [-2+f(x)-f(x)^2*x ogf] A025225 21.9484 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdogf] A025225 60.3582 [-1/2*x*(x-1) revogf] A025225 7.01752 [{(-8*n-12)*a(n+1)+(n+3)*a(n+2),a(0)=2,a(1)=4} ogf] A025226 10.8491 [-3+f(x)-f(x)^2*x ogf] A025226 12.3852 [6/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A025226 36.1234 [-1/3*x*(x-1) revogf] A025226 4.19636 [{(-12*n-18)*a(n+1)+(n+3)*a(n+2),a(0)=3,a(1)=9} ogf] A025227 16.3327 [-x^2-x+f(x)-f(x)^2 ogf] A025227 25.8959 [-1/2+1/2*(1+4*x-4*x^2)^(1/2) revogf] A025227 3.62055 [{(8*n^2-8*n)*a(n)+(12*n^2+12*n)*a(n+1)+(2*n^2+10*n+12)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A025228 15.1134 [3*x-2+f(x)-f(x)^2*x ogf] A025228 24.7182 [1/3-1/3*(1-3*x+3*x^2)^(1/2) revogf] A025228 9.01879 [(-3*x+1+(2*x-1)^(1/2)*(6*x-1)^(1/2))/(6*x-1)^(1/2)/(2*x-1)^(1/2)/(3*x-2)/x lgdogf] A025229 14.619 [-2*x-1+f(x)-f(x)^2*x ogf] A025229 23.0409 [-1/4+1/4*(1+8*x-8*x^2)^(1/2) revogf] A025229 3.24067 [{(-32*n^2-32*n)*a(n)+(-24*n^2-72*n-48)*a(n+1)+(-18-6*n)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=6} ogf] A025230 12.99 [8*x-3+f(x)-f(x)^2*x ogf] A025230 18.4635 [3/16-1/16*(9-32*x+32*x^2)^(1/2) revogf] A025230 6.89602 [1/2*(-16*x+3+3*(-1+4*x)^(1/2)*(8*x-1)^(1/2))/(8*x-1)^(1/2)/(-1+4*x)^(1/2)/x/(8*x-3) lgdogf] A025231 10.6271 [(x-1+(1-8*x+4*x^2)^(1/2))/(x-2)/x/(1-8*x+4*x^2)^(1/2) lgdogf] A025231 12.787 [x-2+f(x)-f(x)^2*x ogf] A025231 33.1315 [1-(1-x+x^2)^(1/2) revogf] A025232 11.058 [7*x-3+f(x)-f(x)^2*x ogf] A025232 15.6720 [3/14-1/14*(9-28*x+28*x^2)^(1/2) revogf] A025232 7.14460 [1/2*(14*x-3+3*(1-12*x+28*x^2)^(1/2))/(7*x-3)/x/(1-12*x+28*x^2)^(1/2) lgdogf] A025233 18.1325 [48/(-x^2+1) ogf_with_Euler_transform] A025233 99.9999 Evaluated at exp(-Pi) 1/64*exp(2*Pi) A025234 10.5696 [-x*(x+2)*(3*x^4-2*x^3-5*x^2+2*x+4)/(x+1)/(x^2+x-1)/(x^4-x^3-3*x^2-2*x+1) lgdogf] A025234 11.1755 [-(x^2+x-1)/(x+1)/(x^4-x^3-3*x^2-2*x+1) ogf] A025235 12.5946 [-2*f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A025235 4.92107 [{(-7*n-14)*a(n+1)+(-2*n-7)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A025235 56.1348 [x/(1+x+2*x^2) revogf] A025236 3.30984 [f(x)^2*x-f(x)*x-f(x)+3*x+1 ogf] A025237 15.1814 [3*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A025237 5.89278 [{(11*n+22)*a(n+1)+(2*n+7)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A025237 67.8640 [x/(1+x+3*x^2) revogf] A025238 10.6785 [-f(x)^2*x+3*f(x)*x+f(x)-x-3 ogf] A025238 18.3297 [-3/2+3/2*x+1/2*((x-1)*(5*x-9))^(1/2) revogf] A025238 8.79827 [-1/2*(-7*x+3+3*(5*x-1)^(1/2)*(x-1)^(1/2))/(x-1)^(1/2)/(x+3)/(5*x-1)^(1/2)/x lgdogf] A025239 10.4422 [-f(x)^2*x+2*f(x)*x+f(x)-3*x-2 ogf] A025239 17.4363 [-1/3+1/3*x+1/3*(-(2*x+1)*(x-1))^(1/2) revogf] A025240 10.7448 [-f(x)^2*x+3*f(x)*x+f(x)-2*x-3 ogf] A025240 11.0702 [-1/2*(5*x-3+3*(1-6*x+x^2)^(1/2))/(2*x+3)/(1-6*x+x^2)^(1/2)/x lgdogf] A025240 18.9775 [-3/4+3/4*x+1/4*((x-1)*(-9+x))^(1/2) revogf] A025241 2.4151 [-f(x)^2*x+f(x)*x^2+f(x)*x-x^2+f(x)-x-1 ogf] A025242 7.79397 [-f(x)^2*x+f(x)*x^2+2*f(x)*x-x^2+f(x)-x-2 ogf] A025243 8.41122 [f(x)^2*x-2*f(x)*x^2-f(x)*x+x^2-f(x)+2*x+1 ogf] A025244 8.83957 [-f(x)^2*x+f(x)*x^2+f(x)*x-2*x^2+f(x)-x-1 ogf] A025245 6.70312 [-2*f(x)^2*x^4-4*f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x-1 ogf] A025246 11.3389 [-f(x)^2*x+f(x)*x-x^2+f(x)-1 ogf] A025247 11.2245 [-f(x)^2*x+2*f(x)*x-x^2+f(x)-2 ogf] A025248 11.4811 [-f(x)^2*x+f(x)*x-2*x^2+f(x)-1 ogf] A025249 3.78086 [{(8*n+28)*a(n+1)+(-n-5)*a(n+2)+(2*n+13)*a(n+3)+(-n-8)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A025249 8.80717 [2*f(x)^2*x^4+4*f(x)*x^3+f(x)*x+2*x^2-f(x)+1 ogf] A025250 11.3419 [-f(x)^2*x+f(x)*x^2-x^2+f(x)-x ogf] A025250 17.5007 [-1/2*(-1-x^2+(1-2*x^2+x^4+4*x)^(1/2))/(x-1) revogf] A025251 11.4994 [f(x)^2*x-f(x)*x^2+2*x^2-f(x)+x ogf] A025251 17.3475 [-1/2*(-1-x^2+(1-2*x^2+x^4+8*x)^(1/2))/(-2+x) revogf] A025252 9.49487 [2*f(x)^2*x^4+4*f(x)*x^3+f(x)*x^2+2*x^2-f(x)+x ogf] A025253 11.5873 [-f(x)^2*x+2*f(x)*x^2-x^2+f(x)-2*x ogf] A025253 16.7201 [-1/2*(-2-x^2+(4-4*x^2+x^4+4*x)^(1/2))/(-1+2*x) revogf] A025254 7.88779 [f(x)^2*x-f(x)*x^2-3*f(x)*x+x^2-f(x)+x+3 ogf] A025255 8.44992 [f(x)^2*x-3*f(x)*x^2-f(x)*x+x^2-f(x)+3*x+1 ogf] A025256 8.29281 [f(x)^2*x-f(x)*x^2-f(x)*x+3*x^2-f(x)+x+1 ogf] A025257 6.60212 [3*f(x)^2*x^4+6*f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)+x+1 ogf] A025258 8.37251 [-f(x)^2*x-f(x)*x^2+f(x)*x-x^2+f(x)+x-1 ogf] A025259 8.25546 [f(x)^2*x+f(x)*x^2-2*f(x)*x+x^2-f(x)-x+2 ogf] A025260 8.66866 [-f(x)^2*x-2*f(x)*x^2+2*f(x)*x-x^2+f(x)+2*x-2 ogf] A025261 7.9453 [-f(x)^2*x-2*f(x)*x^2+3*f(x)*x-x^2+f(x)+2*x-3 ogf] A025262 14.1449 [-x^2+1-f(x)+f(x)^2*x ogf] A025262 4.25213 [{(4*n+2)*a(n+1)+(-4*n-14)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A025263 12.4791 [3*x^2-x-1+f(x)-f(x)^2*x ogf] A025263 3.34037 [{(-12*n-6)*a(n+1)+(4*n+8)*a(n+2)+(4*n+14)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=6} ogf] A025264 12.8755 [3*x^2+3*x-2+f(x)-f(x)^2*x ogf] A025264 3.41202 [{(-12*n-6)*a(n+1)+(-12*n-24)*a(n+2)+(8*n+28)*a(n+3)+(-n-5)*a(n+4),a(0)=2,a(1)=1,a(2)=1,a(3)=5} ogf] A025265 14.1895 [-x^2+x-1+f(x)-f(x)^2*x ogf] A025265 3.83696 [{(-4*n-2)*a(n+1)+(4*n+8)*a(n+2)+(-4*n-14)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A025266 14.5071 [-2*x^2+1-f(x)+f(x)^2*x ogf] A025266 4.38797 [{(8*n+4)*a(n+1)+(-4*n-14)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A025267 14.2499 [3*x^2-2*x+1-f(x)+f(x)^2*x ogf] A025267 3.79521 [{(12*n+6)*a(n+1)+(-8*n-16)*a(n+2)+(4*n+14)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=-1,a(2)=1,a(3)=3} ogf] A025268 12.2877 [2*x^3+x^2-1+f(x)-f(x)^2*x ogf] A025269 11.5369 [4*x^3+3*x^2+3*x-2+f(x)-f(x)^2*x ogf] A025270 11.7447 [-5*x^3-3*x^2+x+1-f(x)+f(x)^2*x ogf] A025271 14.0089 [-4*x^3+1-f(x)+f(x)^2*x ogf] A025272 11.8673 [x^3+x^2-1+f(x)-f(x)^2*x ogf] A025273 12.3857 [x^3-x^2+x-1+f(x)-f(x)^2*x ogf] A025274 12.4711 [-3*x^3-x^2+1-f(x)+f(x)^2*x ogf] A025275 11.9087 [-2*x^3+x^2-x+1-f(x)+f(x)^2*x ogf] A025276 14.052 [-x^3+x-1+f(x)-f(x)^2*x ogf] A025277 13.0155 [-x^3-x^2+f(x)-f(x)^2*x ogf] A025278 12.2761 [2*x^3-3*x^2+2*x-1+f(x)-f(x)^2*x ogf] A025279 12.1399 [-3*x^3+x^2+x-1+f(x)-f(x)^2*x ogf] A025440 13.2072 [1/(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A025440 5.50299 [(151789*f(x)+63936)*(144*f(x)*x^4-180*f(x)*x^3+80*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A025440 8.54370 [-(-15+160*x+576*x^3-540*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(-1+4*x) lgdogf] A025445 10.1717 [1/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A025445 3.8318 [(1760222687179*f(x)+644186269440)*(168*f(x)*x^4-206*f(x)*x^3+89*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A025445 8.97813 [-2*(-8+89*x+336*x^3-309*x^2)/(-1+4*x)/(3*x-1)/(2*x-1)/(7*x-1) lgdogf] A025467 10.6000 [1/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1) ogf] A025467 4.22463 [(261490097*f(x)+84409344)*(192*f(x)*x^4-232*f(x)*x^3+98*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A025467 9.36428 [-(-17+196*x+768*x^3-696*x^2)/(-1+4*x)/(3*x-1)/(2*x-1)/(8*x-1) lgdogf] A025470 3.78598 [(4318684711*f(x)+1245466368)*(216*f(x)*x^4-258*f(x)*x^3+107*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A025470 8.48463 [-2*(-9+107*x+432*x^3-387*x^2)/(-1+4*x)/(3*x-1)/(9*x-1)/(2*x-1) lgdogf] A025470 9.60016 [1/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1) ogf] A025495 6.31948 [(x^7-x^6+3*x^5+7*x^4+22*x^3+7*x^2+1)/(x+1)^2/(x-1)^4 ogf] A025495 7.34195 [(-2-8*x^6-20*x-2*x^7-100*x^3-95*x^4-14*x^5-80*x^2+x^8)/(x-1)/(x+1)/(x^7-x^6+3*x^5+7*x^4+22*x^3+7*x^2+1) lgdogf] A025551 13.3852 [-(6*x-1)/(9*x-1)/(3*x-1) ogf] A025551 15.0517 [-6*(1-9*x+27*x^2)/(6*x-1)/(3*x-1)/(9*x-1) lgdogf] A025551 6.83808 [-(13*f(x)+3)*(27*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A025551 7.48932 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=1,a(1)=6} ogf] A025565 14.0769 [-3*f(x)^2*x+f(x)^2-x-1 ogf] A025565 42.2773 [-2/(x+1)/(3*x-1) lgdogf] A025565 5.65381 [{(-n-2)*a(n+2)+(4+2*n)*a(n+1)+3*n*a(n),a(0)=1,a(1)=2} ogf] A025566 3.50199 [{(3*n^2-3*n)*a(n)+(5*n^2+8*n)*a(n+1)+(n^2+7*n+9)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A025566 6.79998 [3*f(x)^2*x-3*f(x)*x^2+x^3-f(x)^2-2*f(x)*x+x^2+f(x) ogf] A025577 19.8028 [-(-3+4*x+3*x^2)/(x-1)/(x+1)/(3*x-1) lgdogf] A025577 3.56781 [{(n+4)*a(n+4)+(-12-3*n)*a(n+3)+(2-n)*a(n+2)+(6+3*n)*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=17} ogf] A025577 8.31091 [3*f(x)^2*x^3-7*f(x)^2*x^2+5*f(x)^2*x-f(x)^2+x+1 ogf] A025578 4.05642 [{-9*a(n)*n+(-3*n-9)*a(n+1)+(5*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=8} ogf] A025578 5.85927 [9*f(x)^2*x^2-6*f(x)^2*x+3*f(x)*x^2+f(x)^2+2*f(x)*x+x^2-f(x)+x ogf] A025579 14.8679 [(x+1)*(2*x-1)/(3*x-1) ogf] A025579 17.7263 [2*(1-2*x+3*x^2)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A025579 7.96495 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=2,a(2)=4} ogf] A025579 8.92073 [(f(x)-1)*(3*f(x)*x-2*x^2-f(x)-x+1) ogf] A025592 4.10950 [(x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)/(192*x^7+184*x^6-1066*x^5-113*x^4+468*x^3-166*x^2+22*x-1) ogf] A025593 4.15187 [(5*x-1)*(32*x^6+32*x^5-164*x^4-52*x^3+71*x^2-16*x+1)/(x+1)/(192*x^7+184*x^6-1066*x^5-113*x^4+468*x^3-166*x^2+22*x-1) ogf] A025594 4.38541 [-x*(32*x^6+56*x^5-214*x^4-17*x^3+61*x^2-15*x+1)/(x+1)/(192*x^7+184*x^6-1066*x^5-113*x^4+468*x^3-166*x^2+22*x-1) ogf] A025595 3.77507 [-(48*x^9+120*x^8-126*x^7-457*x^6-175*x^5+162*x^4+75*x^3-18*x^2-6*x+1)/(3*x-1)/(3*x^3+9*x^2+6*x-1)/(3*x^3-3*x-1)/(3*x^3-9*x^2-3*x+1) ogf] A025599 4.47357 [-(72*x^7+128*x^6-42*x^5-108*x^4-3*x^3+21*x^2+x-1)/(96*x^8-16*x^7-276*x^6-42*x^5+162*x^4+29*x^3-27*x^2-3*x+1) ogf] A025607 3.85903 [{-a(n+3)+18*a(n+2)-44*a(n+1)-168*a(n),a(0)=1,a(1)=0,a(2)=14} ogf] A025607 6.09927 [-28*x*(-1-216*x^2+348*x^3+27*x)/(6*x-1)/(2*x+1)/(14*x-1)/(58*x^2-18*x+1) lgdogf] A025607 6.21805 [(8*f(x)-15)*(168*f(x)*x^3+44*f(x)*x^2-18*f(x)*x-58*x^2+f(x)+18*x-1) ogf] A025607 6.68130 [(58*x^2-18*x+1)/(6*x-1)/(2*x+1)/(14*x-1) ogf] A025608 14.7877 [2*x^2/(6*x-1)/(2*x+1)/(14*x-1) ogf] A025608 15.9668 [-2*(-9+44*x+252*x^2)/(6*x-1)/(2*x+1)/(14*x-1) lgdogf] A025608 6.35611 [{-a(n+3)+18*a(n+2)-44*a(n+1)-168*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A025608 8.52466 [168*f(x)*x^3+44*f(x)*x^2-18*f(x)*x-2*x^2+f(x) ogf] A025609 3.84331 [{-a(n+3)+18*a(n+2)-44*a(n+1)-168*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A025609 6.49679 [(6*f(x)+1)*(168*f(x)*x^3+44*f(x)*x^2-18*f(x)*x+12*x^2+f(x)-x) ogf] A025609 7.10625 [-2*(3-44*x+2016*x^3+12*x^2)/(6*x-1)/(2*x+1)/(12*x-1)/(14*x-1) lgdogf] A025609 7.12873 [-x*(12*x-1)/(6*x-1)/(2*x+1)/(14*x-1) ogf] A025693 7.56539 [-(x^15-x^14+x^12+x^9+x^6+x^3+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A025694 6.91519 [-(x^20-x^19+x^16+x^13+x^10+x^7+x^4+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025695 10.6198 [-(x^7+x^4+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A025699 5.71915 [-(x^18-x^17+x^16+x^14+x^12+x^10+x^8+x^6+x^4+x^2+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025700 6.18386 [-(x^19+x^17+x^15+x^13+x^11+x^9+x^7+x^5+x^3+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^3 ogf] A025704 7.72831 [-(x^6+x^3+x^2+x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025705 10.7276 [-(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025705 23.3841 [[-x^5+x^4+x+2] ogf_with_Euler_transform] A025705 8.97571 [-(2+7*x^6+4*x+2*x^7+8*x^3+11*x^4+4*x^5+4*x^2+3*x^8)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A025707 5.69041 [-(x^11-x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A025710 5.13705 [-(x^16-x^15+x^14+x^13+x^11+x^10+x^9+x^7+x^6+x^5+x^3+x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^3 ogf] A025711 6.48699 [-(x^11-x^10+x^9+x^8+x^6+x^5+x^3+x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A025712 5.13602 [-(2*x^12+3*x^11+2*x^10+3*x^9+2*x^8+3*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A025715 29.4349 [-x^9+x^8+3 ogf_with_Euler_transform] A025719 7.49065 [-(x^8+x^7+x^6+x^4+x^3+x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025722 7.47144 [-(3+6*x+14*x^3+22*x^4+16*x^5+13*x^6+12*x^7+5*x^8+2*x^9+12*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+2*x^3+x^2+x+1) lgdogf] A025722 8.29369 [-(x^5+x^4+2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025727 5.14483 [-(x^14-x^13+x^12+x^11+x^10+x^9+x^8+x^6+x^5+x^4+x^3+x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025734 7.60512 [-(3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A025735 5.38805 [-(x^11+x^10+2*x^9+x^8+x^7+2*x^6+x^5+x^4+2*x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025738 25.6937 [3-x^17*(x-1) ogf_with_Euler_transform] A025742 11.9102 [-(3+8*x+12*x^3+8*x^4+2*x^5+x^6+11*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^2+x+1) lgdogf] A025742 9.99432 [-(x^4+2*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A025743 7.15951 [-(x^2+1)*(x^5+x^4+x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025744 7.26190 [-(x^2+x+1)*(x^2-x+1)*(x^4+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025745 5.46559 [-(x^11+x^10+x^9+x^8+x^7+2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025747 28.1802 [-x^21+x^20+3 ogf_with_Euler_transform] A025748 12.597 [-x-7+16*f(x)-12*f(x)^2+3*f(x)^3 ogf] A025748 6.02561 [{(-9*n+3)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025749 5.18478 [{(-16*n+4)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025750 5.28671 [{(-25*n+5)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025751 5.81246 [{(-36*n+6)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025752 5.45943 [{(-49*n+7)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025753 4.99733 [{(-64*n+8)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025754 5.24859 [{(-81*n+9)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025755 4.50506 [{(-100*n+10)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A025756 8.55996 [-f(x)^3*x+f(x)^3-4*f(x)^2+6*f(x)-3 ogf] A025764 26.7690 [x^6+x+1 ogf_with_Euler_transform] A025764 7.81110 [-(1+4*x+4*x^3+4*x^4+4*x^5+11*x^6+10*x^7+4*x^2)/(x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025764 9.60333 [-1/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025765 27.1693 [x^8+x+1 ogf_with_Euler_transform] A025765 7.23818 [-(1+4*x+4*x^3+4*x^4+4*x^5+4*x^6+4*x^7+13*x^8+12*x^9+4*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A025765 8.97571 [-1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025766 25.9243 [x^10+x+1 ogf_with_Euler_transform] A025766 5.20127 [-(1+4*x+4*x^3+4*x^4+4*x^5+4*x^6+4*x^7+4*x^8+4*x^9+15*x^10+14*x^11+4*x^2)/(x-1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025766 9.27222 [-1/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025767 13.6995 [-(1+2*x+10*x^3+9*x^4+8*x^5+6*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A025767 15.4355 [-1/(x^2+x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A025767 26.5643 [[x^3+x^2+1] ogf_with_Euler_transform] A025768 20.3022 [[x^6+x^2+1] ogf_with_Euler_transform] A025768 6.91036 [-(1+2*x+6*x^3+6*x^4+6*x^5+13*x^6+12*x^7+11*x^8+6*x^2)/(x-1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025768 8.97059 [-1/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025769 23.4810 [x^7+x^2+1 ogf_with_Euler_transform] A025769 6.88018 [-(1+2*x+6*x^3+6*x^4+6*x^5+6*x^6+14*x^7+13*x^8+12*x^9+6*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(1+x^4) lgdogf] A025769 9.63035 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025770 14.6086 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A025770 36.6710 [x^9+x^2+1 ogf_with_Euler_transform] A025770 8.00610 [-(1+2*x+6*x^3+6*x^4+6*x^5+6*x^6+6*x^7+6*x^8+16*x^9+15*x^10+14*x^11+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A025771 22.4265 [x^10+x^2+1 ogf_with_Euler_transform] A025771 9.25433 [-1/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025772 11.5999 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025772 20.3022 [[x^4+x^3+1] ogf_with_Euler_transform] A025772 7.63353 [-(1+2*x+8*x^3+13*x^4+12*x^5+11*x^6+10*x^7+3*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+1) lgdogf] A025773 23.1998 [x^6+x^3+1 ogf_with_Euler_transform] A025773 6.21876 [-(1+2*x+8*x^3+8*x^4+8*x^5+15*x^6+14*x^7+13*x^8+12*x^9+3*x^2)/(x-1)/(x+1)/(1+x^2)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025773 9.00755 [-1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025774 23.4366 [x^8+x^3+1 ogf_with_Euler_transform] A025774 5.74104 [-(1+2*x+8*x^3+8*x^4+8*x^5+8*x^6+8*x^7+17*x^8+16*x^9+15*x^10+14*x^11+3*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A025774 9.47783 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025775 14.0938 [-1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025775 36.0803 [x^10+x^3+1 ogf_with_Euler_transform] A025776 12.2830 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025776 20.3877 [[x^5+x^4+1] ogf_with_Euler_transform] A025776 5.88561 [-(1+2*x+4*x^3+10*x^4+16*x^5+15*x^6+14*x^7+13*x^8+12*x^9+3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A025777 23.4366 [x^6+x^4+1 ogf_with_Euler_transform] A025777 5.54967 [-(1+2*x+4*x^3+10*x^4+10*x^5+17*x^6+16*x^7+15*x^8+14*x^9+13*x^10+3*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025777 9.61132 [-1/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025778 23.2954 [x^7+x^4+1 ogf_with_Euler_transform] A025778 5.33750 [-(1+2*x+4*x^3+10*x^4+10*x^5+10*x^6+18*x^7+17*x^8+16*x^9+15*x^10+14*x^11+3*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+1)/(1+x^4) lgdogf] A025778 9.04392 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025779 11.4263 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025779 28.2745 [x^8+x^4+1 ogf_with_Euler_transform] A025779 6.10338 [-(1+2*x+4*x^3+10*x^4+10*x^5+10*x^6+10*x^7+19*x^8+18*x^9+17*x^10+16*x^11+15*x^12+3*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1) lgdogf] A025780 22.9744 [x^10+x^4+1 ogf_with_Euler_transform] A025780 9.47812 [-1/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025781 22.9744 [x^11+x^4+1 ogf_with_Euler_transform] A025781 9.47812 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A025782 12.3326 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025782 23.2954 [x^6+x^5+1 ogf_with_Euler_transform] A025783 23.0634 [x^10+x^5+1 ogf_with_Euler_transform] A025783 9.51415 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025784 12.3814 [-1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025784 23.3894 [x^7+x^6+1 ogf_with_Euler_transform] A025785 23.4819 [x^8+x^6+1 ogf_with_Euler_transform] A025785 9.49467 [-1/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025786 23.8587 [x^9+x^6+1 ogf_with_Euler_transform] A025786 9.01991 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025787 22.9253 [x^10+x^6+1 ogf_with_Euler_transform] A025787 9.45718 [-1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025788 23.1511 [x^11+x^6+1 ogf_with_Euler_transform] A025788 9.54963 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A025789 12.2074 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^3 ogf] A025789 23.4819 [x^8+x^7+1 ogf_with_Euler_transform] A025790 23.0125 [x^10+x^7+1 ogf_with_Euler_transform] A025790 8.99934 [-1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025791 12.2538 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025791 23.5730 [x^9+x^8+1 ogf_with_Euler_transform] A025792 22.8738 [x^10+x^8+1 ogf_with_Euler_transform] A025792 9.30776 [-1/(x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025793 12.0838 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025793 22.8738 [x^10+x^9+1 ogf_with_Euler_transform] A025794 12.1279 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A025794 22.2185 [x^11+x^10+1 ogf_with_Euler_transform] A025795 10.4636 [-x*(2+12*x^2+17*x^3+22*x^4+20*x^5+10*x^6+7*x)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A025795 14.5541 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A025795 27.2591 [[x^4+x^2+x] ogf_with_Euler_transform] A025796 12.1831 [-x*(2+3*x+2*x^2+11*x^4)/(x^2-x+1)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A025796 23.4366 [x^5+x^2+x ogf_with_Euler_transform] A025796 8.74877 [-1/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025797 20.7607 [x*(x^6+x+1) ogf_with_Euler_transform] A025797 7.26161 [-x*(2+7*x^2+5*x^3+7*x^4+5*x^5+15*x^6+13*x^7+13*x^8+5*x)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A025797 9.04947 [-1/(x^2+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025798 23.6243 [x^8+x^2+x ogf_with_Euler_transform] A025798 7.67421 [-x*(2+5*x^2+2*x^3+5*x^4+5*x^5+2*x^6+14*x^7+14*x^8+5*x)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A025798 9.04947 [-1/(x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025799 11.8254 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A025799 31.3054 [x^9+x^2+x ogf_with_Euler_transform] A025799 7.12288 [-x*(2+7*x^2+5*x^3+7*x^4+5*x^5+7*x^6+5*x^7+17*x^8+15*x^9+15*x^10+5*x)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A025800 22.9253 [x^10+x^2+x ogf_with_Euler_transform] A025800 8.96590 [-1/(x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025801 23.0125 [x^11+x^2+x ogf_with_Euler_transform] A025801 6.80426 [-x*(2+3*x+2*x^2+5*x^4+2*x^6+3*x^7+2*x^8+17*x^10)/(x^2-x+1)/(x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A025801 8.99934 [-1/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025802 23.3894 [x^4+x^3+x ogf_with_Euler_transform] A025802 8.20393 [-x*(2+8*x^2+13*x^3+13*x^4+11*x^5+11*x^6+2*x)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A025802 9.20238 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025803 18.4761 [x*(x^5+x^2+1) ogf_with_Euler_transform] A025803 6.68683 [-x*(2+8*x^2+8*x^3+8*x^4+15*x^5+15*x^6+13*x^7+13*x^8+2*x)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025803 8.68627 [-1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025804 23.5192 [x^8+x^3+x ogf_with_Euler_transform] A025804 6.16757 [-x*(2+8*x^2+8*x^3+8*x^4+8*x^5+8*x^6+17*x^7+17*x^8+15*x^9+15*x^10+2*x)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A025804 8.55750 [-1/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^3 ogf] A025805 22.1807 [x^10+x^3+x ogf_with_Euler_transform] A025805 8.24570 [-1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025806 20.7156 [[x^5+x^4+x] ogf_with_Euler_transform] A025806 6.33549 [-x*(2+4*x^2+9*x^3+17*x^4+15*x^5+15*x^6+13*x^7+13*x^8+2*x)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A025806 9.14953 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025807 11.4898 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025807 18.2522 [x*(x^5+x^3+1) ogf_with_Euler_transform] A025807 5.19054 [-x*(2+6*x^2+13*x^3+20*x^4+27*x^5+34*x^6+32*x^7+30*x^8+28*x^9+14*x^10+4*x)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025808 18.4339 [x*(x^6+x^3+1) ogf_with_Euler_transform] A025808 5.77992 [-x*(2+4*x^2+9*x^3+11*x^4+9*x^5+19*x^6+17*x^7+17*x^8+15*x^9+15*x^10+2*x)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A025808 9.00789 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025809 23.7508 [x^8+x^4+x ogf_with_Euler_transform] A025809 9.09595 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025810 10.6715 [-x*(2+2*x^2+5*x^3+2*x^4+2*x^6+17*x^8)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)/(x+1) lgdogf] A025810 11.8941 [-1/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^3 ogf] A025810 31.4902 [x^9+x^4+x ogf_with_Euler_transform] A025811 23.0431 [x^10+x^4+x ogf_with_Euler_transform] A025811 9.01005 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025812 22.9034 [x^11+x^4+x ogf_with_Euler_transform] A025812 8.95544 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^3 ogf] A025813 18.2092 [x*(x^5+x^4+1) ogf_with_Euler_transform] A025813 5.16982 [-x*(2+4*x^2+4*x^3+12*x^4+19*x^5+19*x^6+17*x^7+17*x^8+15*x^9+15*x^10+2*x)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025813 8.56014 [-1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025814 23.6332 [x^8+x^5+x ogf_with_Euler_transform] A025814 6.80970 [-x*(2+2*x^2+2*x^3+8*x^4+2*x^5+2*x^6+17*x^7+2*x^8+17*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A025814 9.04974 [-1/(x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025815 22.5652 [x^10+x^5+x ogf_with_Euler_transform] A025815 8.82261 [-1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025816 18.3439 [x*(x^6+x^5+1) ogf_with_Euler_transform] A025816 8.96263 [-1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025817 10.7466 [-1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025817 23.6332 [x^8+x^6+x ogf_with_Euler_transform] A025818 23.8621 [x^9+x^6+x ogf_with_Euler_transform] A025818 9.01810 [-1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025819 22.7854 [x^10+x^6+x ogf_with_Euler_transform] A025819 8.90813 [-1/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025820 8.46822 [-1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^3 ogf] A025821 23.5711 [x^8+x^7+x ogf_with_Euler_transform] A025821 8.90813 [-1/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025822 22.9419 [x^10+x^7+x ogf_with_Euler_transform] A025822 8.85326 [-1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025823 24.2532 [x^9+x^8+x ogf_with_Euler_transform] A025823 9.04681 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^3 ogf] A025824 11.6183 [-1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025824 23.1606 [x^10+x^8+x ogf_with_Euler_transform] A025825 23.1606 [x^11+x^8+x ogf_with_Euler_transform] A025825 8.50118 [-1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025826 23.0940 [x^10+x^9+x ogf_with_Euler_transform] A025826 8.79816 [-1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025827 22.4922 [x^11+x^10+x ogf_with_Euler_transform] A025827 8.85358 [-1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^3 ogf] A025828 23.1736 [x^5+x^3+x^2 ogf_with_Euler_transform] A025828 9.33440 [-x^2*(4*x+3*x^2+13*x^3+13*x^5+3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A025828 9.71243 [-1/(x^2+1)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025829 10.7360 [-1/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A025829 20.7455 [x^6+x^3+x^2 ogf_with_Euler_transform] A025829 5.46330 [-x^2*(10*x+17*x^2+24*x^3+31*x^4+38*x^5+45*x^6+42*x^7+28*x^8+14*x^9+3)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A025830 20.6190 [x^7+x^3+x^2 ogf_with_Euler_transform] A025830 7.62610 [-x^2*(7*x+7*x^2+7*x^3+3*x^4+15*x^5+15*x^6+15*x^7+3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A025830 8.98570 [-1/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025831 20.5674 [x^8+x^3+x^2 ogf_with_Euler_transform] A025831 6.32668 [-x^2*(7*x+7*x^2+10*x^3+7*x^4+7*x^5+19*x^6+16*x^7+16*x^8+16*x^9+3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A025831 8.96263 [-1/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025832 18.5234 [(1/x^7+1/x^6+1)*x^9 ogf_with_Euler_transform] A025832 8.93221 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A025833 17.9253 [(1/x^8+1/x^7+1)*x^10 ogf_with_Euler_transform] A025833 8.43902 [-1/(x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A025834 17.8611 [(1/x^8+1/x^9+1)*x^11 ogf_with_Euler_transform] A025834 7.60624 [-x^2*(3+4*x+3*x^3+4*x^5+3*x^6+19*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A025834 8.40938 [-1/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025835 20.6190 [x^5+x^4+x^2 ogf_with_Euler_transform] A025835 6.63022 [-x^2*(3*x+8*x^2+17*x^3+17*x^4+14*x^5+14*x^6+14*x^7+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A025835 8.64447 [-1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025836 10.7466 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025836 20.7686 [x^7+x^4+x^2 ogf_with_Euler_transform] A025837 24.0733 [x^8+x^4+x^2 ogf_with_Euler_transform] A025837 6.64045 [-x^2*(3*x+8*x^2+11*x^3+11*x^4+8*x^5+20*x^6+20*x^7+17*x^8+17*x^9+17*x^10+3)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1) lgdogf] A025837 9.96068 [-1/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025838 18.4746 [(1/x^7+1/x^5+1)*x^9 ogf_with_Euler_transform] A025838 5.66881 [-x^2*(3*x+8*x^2+8*x^3+8*x^4+3*x^5+3*x^6+18*x^7+18*x^8+18*x^9+3)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A025838 8.90813 [-1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A025839 18.0507 [(1/x^6+1/x^8+1)*x^10 ogf_with_Euler_transform] A025839 8.93840 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025840 18.2238 [(1/x^7+1/x^9+1)*x^11 ogf_with_Euler_transform] A025840 8.57799 [-1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025841 20.2590 [x^6+x^5+x^2 ogf_with_Euler_transform] A025841 5.43473 [-x^2*(3*x+3*x^2+12*x^3+19*x^4+19*x^5+19*x^6+16*x^7+16*x^8+16*x^9+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A025841 8.38628 [-1/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025842 20.4582 [x^7+x^5+x^2 ogf_with_Euler_transform] A025842 6.83327 [-x^2*(3*x^2+9*x^3+3*x^4+17*x^5+3*x^6+17*x^7+17*x^9+3)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A025842 8.91392 [-1/(x^2+1)/(x^2-x+1)/(x^4+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025843 17.9126 [(1/x^4+1/x^7+1)*x^9 ogf_with_Euler_transform] A025843 5.12158 [-x^2*(3*x^2+9*x^3+3*x^4+9*x^5+3*x^6+19*x^7+3*x^8+19*x^9+19*x^11+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A025843 8.20960 [-1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025844 17.6116 [(1/x^5+1/x^8+1)*x^10 ogf_with_Euler_transform] A025844 8.28935 [-1/(x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025845 20.6573 [x^7+x^6+x^2 ogf_with_Euler_transform] A025845 8.88322 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025846 20.9259 [x^8+x^6+x^2 ogf_with_Euler_transform] A025846 8.55335 [-1/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025847 10.6249 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025847 20.5384 [x^9+x^6+x^2 ogf_with_Euler_transform] A025848 8.42395 [-1/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025848 9.69780 [(-1/x^12+1)/(x-1)*x^14/(x^2+1)/(x+1) ogf_with_Euler_transform] A025849 16.2425 [x^11+x^2*(x^4+1) ogf_with_Euler_transform] A025849 8.34570 [-1/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025850 20.7354 [x^8+x^7+x^2 ogf_with_Euler_transform] A025850 8.91525 [-1/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025851 20.7354 [x^9+x^7+x^2 ogf_with_Euler_transform] A025851 8.37163 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025852 10.7937 [-1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025852 20.2544 [x^10+x^7+x^2 ogf_with_Euler_transform] A025853 16.9004 [x^2+x^7*(x^4+1) ogf_with_Euler_transform] A025853 5.90034 [-x^2*(3*x^3+3*x^4+8*x^5+3*x^6+3*x^7+23*x^9+3*x^10+3+23*x^13)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A025853 8.47573 [-1/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025854 20.3465 [x^9+x^8+x^2 ogf_with_Euler_transform] A025854 8.63497 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025855 19.9366 [x^10+x^8+x^2 ogf_with_Euler_transform] A025855 8.71699 [-1/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025856 20.3799 [x^10+x^9+x^2 ogf_with_Euler_transform] A025856 8.79759 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025857 19.9978 [x^11+x^9+x^2 ogf_with_Euler_transform] A025857 8.63263 [-1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025858 19.5429 [x^11+x^10+x^2 ogf_with_Euler_transform] A025858 8.26511 [-1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025859 20.7140 [x^6+x^4+x^3 ogf_with_Euler_transform] A025859 8.57408 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025860 20.6573 [x^7+x^4+x^3 ogf_with_Euler_transform] A025860 6.59529 [-x^3*(4+9*x+9*x^2+9*x^3+21*x^4+17*x^5+17*x^6+17*x^7+17*x^8)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A025860 8.55010 [-1/(x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025861 11.3672 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025861 20.5988 [x^8+x^4+x^3 ogf_with_Euler_transform] A025862 18.4937 [(1/x^5+1/x^6+1)*x^9 ogf_with_Euler_transform] A025862 6.95055 [-x^3*(4+5*x+4*x^2+5*x^3+4*x^4+19*x^6+19*x^8)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A025862 8.47499 [-1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^3 ogf] A025863 18.2321 [(1/x^6+1/x^7+1)*x^10 ogf_with_Euler_transform] A025863 9.02669 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025864 18.1780 [(1/x^8+1/x^7+1)*x^11 ogf_with_Euler_transform] A025864 8.99942 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025865 20.5384 [x^8+x^5+x^3 ogf_with_Euler_transform] A025865 5.98734 [-x^3*(4+10*x^2+4*x^3+10*x^4+19*x^5+4*x^6+19*x^7+19*x^8+19*x^10)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A025865 8.39495 [-1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025866 18.1224 [(1/x^7+1/x^5+1)*x^10 ogf_with_Euler_transform] A025866 8.42437 [-1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A025867 20.2170 [x^7+x^6+x^3 ogf_with_Euler_transform] A025867 5.35476 [-x^3*(4+4*x+4*x^2+11*x^3+23*x^5+23*x^6+19*x^7+19*x^8+19*x^9+19*x^10+23*x^4)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A025867 8.69236 [-1/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025868 20.6722 [x^8+x^6+x^3 ogf_with_Euler_transform] A025868 8.88762 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025869 10.9684 [(-1/x^9+1)/(x-1)*x^12/(x^2+x+1) ogf_with_Euler_transform] A025869 8.31906 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025870 11.2599 [-1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025870 17.7244 [(1/x^7+1/x^4+1)*x^10 ogf_with_Euler_transform] A025871 17.8928 [(1/x^5+1/x^8+1)*x^11 ogf_with_Euler_transform] A025871 8.31680 [-1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025872 20.2791 [x^8+x^7+x^3 ogf_with_Euler_transform] A025872 8.71770 [-1/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025873 19.2335 [x^10+x^7+x^3 ogf_with_Euler_transform] A025873 7.99896 [-1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025874 19.6625 [x^11+x^8+x^3 ogf_with_Euler_transform] A025874 5.34475 [-x^3*(4+4*x^3+4*x^4+9*x^5+4*x^6+4*x^7+25*x^8+4*x^10+25*x^11+25*x^14)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1) lgdogf] A025874 8.59553 [-1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025875 18.7262 [x^11+x^10+x^3 ogf_with_Euler_transform] A025875 8.32030 [-1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025876 15.4038 [1/720*x^4*(x^2+6*x+30) egf]_with_Euler_transform] A025876 8.83105 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025877 20.9322 [x^7+x^5+x^4 ogf_with_Euler_transform] A025877 8.99942 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025878 20.9333 [x^8+x^5+x^4 ogf_with_Euler_transform] A025878 8.55453 [-1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025879 20.3413 [x^9+x^5+x^4 ogf_with_Euler_transform] A025879 5.87692 [-x^4*(5+6*x+5*x^2+6*x^3+5*x^4+21*x^5+21*x^7+21*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A025879 8.21087 [-1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^3 ogf] A025880 11.2215 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025880 17.6648 [(1/x^6+1/x^5+1)*x^10 ogf_with_Euler_transform] A025881 17.6648 [x^11+x^4*(x+1) ogf_with_Euler_transform] A025881 8.21087 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A025882 20.6074 [x^7+x^6+x^4 ogf_with_Euler_transform] A025882 8.42177 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025883 20.7350 [x^8+x^6+x^4 ogf_with_Euler_transform] A025883 8.91327 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025884 20.4028 [x^9+x^6+x^4 ogf_with_Euler_transform] A025884 8.23524 [-1/(x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A025885 8.79492 [-1/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025886 10.4758 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025886 15.9173 [x^11+x^4*(x^2+1) ogf_with_Euler_transform] A025887 20.6660 [x^8+x^7+x^4 ogf_with_Euler_transform] A025887 8.44448 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^3 ogf] A025888 20.0078 [x^9+x^7+x^4 ogf_with_Euler_transform] A025888 5.64630 [-x^4*(5+5*x^2+8*x^3+5*x^4+23*x^5+5*x^6+23*x^7+23*x^9+23*x^11)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A025888 8.07585 [-1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^3 ogf] A025889 10.7827 [(-1/x^9+1)/(x^2+x+1)/(x-1)*x^13 ogf_with_Euler_transform] A025889 8.17623 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025890 19.6625 [x^11+x^7+x^4 ogf_with_Euler_transform] A025890 8.59553 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025891 19.6712 [x^9+x^8+x^4 ogf_with_Euler_transform] A025891 8.34677 [-1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A025892 19.6625 [x^10+x^8+x^4 ogf_with_Euler_transform] A025892 8.17623 [-1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025893 19.6625 [x^11+x^8+x^4 ogf_with_Euler_transform] A025893 8.17623 [-1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025894 18.6344 [x^10+x^9+x^4 ogf_with_Euler_transform] A025894 8.04296 [-1/(x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A025895 15.2398 [x^4+x^9*(x^2+1) ogf_with_Euler_transform] A025895 7.54976 [-1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^3 ogf] A025896 17.3628 [x^4+x^10*(x+1) ogf_with_Euler_transform] A025896 8.37578 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A025897 15.1551 [1/5040*x^5*(x^2+7*x+42) egf]_with_Euler_transform] A025897 8.88316 [-1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025898 20.7274 [x^8+x^6+x^5 ogf_with_Euler_transform] A025898 8.90914 [-1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025899 20.6556 [x^9+x^6+x^5 ogf_with_Euler_transform] A025899 8.76406 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025900 8.17623 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025901 17.3628 [x^11+x^5*(1+x) ogf_with_Euler_transform] A025901 8.48317 [-1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A025902 20.5232 [x^8+x^7+x^5 ogf_with_Euler_transform] A025902 8.38537 [-1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025903 19.5340 [x^10+x^7+x^5 ogf_with_Euler_transform] A025903 8.53935 [-1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025904 20.1259 [x^9+x^8+x^5 ogf_with_Euler_transform] A025904 8.12279 [-1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025905 8.01590 [-1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025906 19.2770 [x^10+x^9+x^5 ogf_with_Euler_transform] A025906 7.91933 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025907 15.8680 [x^5+x^10*(x+1) ogf_with_Euler_transform] A025907 7.65468 [-1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A025908 14.3432 [1/40320*x^6*(x^2+8*x+56) egf]_with_Euler_transform] A025908 8.16898 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025909 20.1259 [x^9+x^7+x^6 ogf_with_Euler_transform] A025909 8.53935 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025910 19.4055 [x^10+x^7+x^6 ogf_with_Euler_transform] A025910 8.06935 [-1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A025911 17.2478 [x^11+x^6*(x+1) ogf_with_Euler_transform] A025911 8.42697 [-1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025912 19.9935 [x^9+x^8+x^6 ogf_with_Euler_transform] A025912 8.48317 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025913 19.0200 [x^10+x^8+x^6 ogf_with_Euler_transform] A025913 7.90902 [-1/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025914 15.3971 [x^11+x^6*(x^2+1) ogf_with_Euler_transform] A025914 8.31462 [-1/(x+1)/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025915 19.0200 [x^10+x^9+x^6 ogf_with_Euler_transform] A025915 7.81373 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A025916 15.7727 [x^6+x^9*(x^2+1) ogf_with_Euler_transform] A025916 7.81373 [-1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A025917 17.0179 [x^6+x^10*(x+1) ogf_with_Euler_transform] A025917 7.81373 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A025918 13.6661 [1/362880*x^7*(x^2+9*x+72) egf]_with_Euler_transform] A025918 7.85559 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025919 19.1485 [x^10+x^8+x^7 ogf_with_Euler_transform] A025919 7.96246 [-1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^3 ogf] A025920 18.8914 [x^11+x^8+x^7 ogf_with_Euler_transform] A025920 8.25844 [-1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025921 19.0200 [x^10+x^9+x^7 ogf_with_Euler_transform] A025921 7.81373 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A025922 17.9772 [x^11+x^10+x^7 ogf_with_Euler_transform] A025922 7.98749 [-1/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A025923 12.7517 [1/3628800*x^8*(x^2+10*x+90) egf]_with_Euler_transform] A025923 7.54976 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A025924 18.6344 [x^11+x^9+x^8 ogf_with_Euler_transform] A025924 8.04296 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A025925 17.9772 [x^11+x^10+x^8 ogf_with_Euler_transform] A025925 7.60255 [-1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A025926 11.8232 [1/39916800*x^9*(x^2+11*x+110) egf]_with_Euler_transform] A025927 3.82725 [(150250705451*f(x)+39128616000)*(240*f(x)*x^4-284*f(x)*x^3+116*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A025927 8.90803 [-(-19+232*x+960*x^3-852*x^2)/(4*x-1)/(3*x-1)/(2*x-1)/(10*x-1) lgdogf] A025927 9.90984 [1/(4*x-1)/(3*x-1)/(2*x-1)/(10*x-1) ogf] A025928 3.39215 [(1048381991773*f(x)+248773738752)*(264*f(x)*x^4-310*f(x)*x^3+125*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025928 7.73511 [-2*(-10+125*x+528*x^3-465*x^2)/(11*x-1)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A025928 8.90438 [1/(11*x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A025929 3.87703 [(132187*f(x)+28800)*(288*f(x)*x^4-336*f(x)*x^3+134*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025929 8.69502 [-(24*x-7)*(48*x^2-28*x+3)/(12*x-1)/(4*x-1)/(3*x-1)/(2*x-1) lgdogf] A025929 9.20793 [1/(12*x-1)/(4*x-1)/(3*x-1)/(2*x-1) ogf] A025930 4.06508 [(2738263*f(x)+970250)*(180*f(x)*x^4-216*f(x)*x^3+91*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A025930 8.88239 [-2*(-8+91*x+360*x^3-324*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A025930 9.90402 [1/(6*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A025931 10.1478 [1/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A025931 4.60684 [(913700768525743*f(x)+281007189792000)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A025931 9.27499 [-(-17+202*x+840*x^3-741*x^2)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A025932 10.5684 [1/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A025932 3.97203 [(17363853637339*f(x)+4706411904000)*(240*f(x)*x^4-278*f(x)*x^3+111*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A025932 9.66758 [-6*(-3+37*x+160*x^3-139*x^2)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) lgdogf] A025933 11.9817 [-(-19+242*x+1080*x^3-927*x^2)/(3*x-1)/(-1+9*x)/(2*x-1)/(5*x-1) lgdogf] A025933 13.4829 [1/(3*x-1)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A025933 5.13634 [(2239511479447*f(x)+541930824000)*(270*f(x)*x^4-309*f(x)*x^3+121*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A025934 4.05074 [(12462527*f(x)+2721735)*(300*f(x)*x^4-340*f(x)*x^3+131*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025934 8.62523 [-2*(-10+131*x+600*x^3-510*x^2)/(3*x-1)/(2*x-1)/(5*x-1)/(10*x-1) lgdogf] A025934 9.90984 [1/(3*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A025935 3.27764 [(2716800501481973*f(x)+540375756624000)*(330*f(x)*x^4-371*f(x)*x^3+141*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025935 8.03517 [-3*(-7+94*x+440*x^3-371*x^2)/(3*x-1)/(5*x-1)/(2*x-1)/(11*x-1) lgdogf] A025935 8.95496 [1/(3*x-1)/(5*x-1)/(2*x-1)/(11*x-1) ogf] A025936 3.55617 [(122748088903*f(x)+22407552000)*(360*f(x)*x^4-402*f(x)*x^3+151*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025936 8.00494 [-2*(-11+151*x+720*x^3-603*x^2)/(12*x-1)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A025936 9.20793 [1/(12*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A025937 10.3055 [1/(6*x-1)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A025937 4.12221 [(884278483*f(x)+231673176)*(252*f(x)*x^4-288*f(x)*x^3+113*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A025937 9.26775 [-2*(-9+113*x+504*x^3-432*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(7*x-1) lgdogf] A025938 3.88196 [(22400059*f(x)+5168640)*(288*f(x)*x^4-324*f(x)*x^3+124*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A025938 8.52896 [-(-19+248*x+1152*x^3-972*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(8*x-1) lgdogf] A025938 9.49693 [1/(6*x-1)/(3*x-1)/(2*x-1)/(8*x-1) ogf] A025939 4.11986 [(649913*f(x)+133812)*(324*f(x)*x^4-360*f(x)*x^3+135*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025939 8.57935 [-2*(-10+135*x+648*x^3-540*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(-1+9*x) lgdogf] A025939 9.85823 [1/(6*x-1)/(3*x-1)/(2*x-1)/(9*x-1) ogf] A025940 4.05074 [(37668268*f(x)+6996375)*(360*f(x)*x^4-396*f(x)*x^3+146*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025940 8.62523 [-(-21+292*x+1440*x^3-1188*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(10*x-1) lgdogf] A025940 9.90984 [1/(6*x-1)/(3*x-1)/(2*x-1)/(10*x-1) ogf] A025941 3.57144 [(6130663219*f(x)+1036678632)*(396*f(x)*x^4-432*f(x)*x^3+157*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025941 7.87003 [-2*(-11+157*x+792*x^3-648*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(11*x-1) lgdogf] A025941 9.05616 [1/(6*x-1)/(3*x-1)/(2*x-1)/(11*x-1) ogf] A025942 3.84058 [(1424401*f(x)+220992)*(432*f(x)*x^4-468*f(x)*x^3+168*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025942 8.04991 [-(-23+336*x+1728*x^3-1404*x^2)/(12*x-1)/(6*x-1)/(3*x-1)/(2*x-1) lgdogf] A025942 9.25852 [1/(12*x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A025943 3.63249 [(6223493956889*f(x)+1243929222144)*(336*f(x)*x^4-370*f(x)*x^3+137*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025943 8.48463 [-2*(-10+137*x+672*x^3-555*x^2)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A025943 9.60016 [1/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A025944 3.77518 [(1823721612931*f(x)+325127779200)*(378*f(x)*x^4-411*f(x)*x^3+149*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025944 8.62523 [-(-21+298*x+1512*x^3-1233*x^2)/(3*x-1)/(-1+9*x)/(2*x-1)/(7*x-1) lgdogf] A025944 9.90984 [1/(3*x-1)/(9*x-1)/(2*x-1)/(7*x-1) ogf] A025945 3.67517 [(174392997905599*f(x)+28037357995500)*(420*f(x)*x^4-452*f(x)*x^3+161*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025945 8.76435 [-2*(4*x-1)*(210*x^2-117*x+11)/(3*x-1)/(2*x-1)/(7*x-1)/(10*x-1) lgdogf] A025945 9.90984 [1/(3*x-1)/(2*x-1)/(7*x-1)/(10*x-1) ogf] A025946 3.26632 [(170288927862529381*f(x)+24918040412096832)*(462*f(x)*x^4-493*f(x)*x^3+173*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025946 7.95997 [-(-23+346*x+1848*x^3-1479*x^2)/(7*x-1)/(3*x-1)/(2*x-1)/(11*x-1) lgdogf] A025946 9.15734 [1/(7*x-1)/(3*x-1)/(2*x-1)/(11*x-1) ogf] A025947 3.54634 [(1098976961885*f(x)+147510590976)*(504*f(x)*x^4-534*f(x)*x^3+185*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025947 7.96840 [-2*(-12+185*x+1008*x^3-801*x^2)/(12*x-1)/(3*x-1)/(2*x-1)/(7*x-1) lgdogf] A025947 9.30912 [1/(12*x-1)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A025948 3.88078 [(34636986439*f(x)+5431753728)*(432*f(x)*x^4-462*f(x)*x^3+163*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025948 8.62523 [-2*(-11+163*x+864*x^3-693*x^2)/(3*x-1)/(-1+9*x)/(2*x-1)/(8*x-1) lgdogf] A025948 9.90984 [1/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1) ogf] A025949 3.72451 [(13247972645743*f(x)+1873053504000)*(480*f(x)*x^4-508*f(x)*x^3+176*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025949 8.62523 [-(-23+352*x+1920*x^3-1524*x^2)/(3*x-1)/(2*x-1)/(8*x-1)/(10*x-1) lgdogf] A025949 9.90984 [1/(3*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A025950 3.38875 [(3233931312833701*f(x)+416062923217920)*(528*f(x)*x^4-554*f(x)*x^3+189*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025950 8.31385 [-6*(-4+63*x+352*x^3-277*x^2)/(3*x-1)/(2*x-1)/(11*x-1)/(8*x-1) lgdogf] A025950 9.25852 [1/(3*x-1)/(2*x-1)/(11*x-1)/(8*x-1) ogf] A025951 3.88255 [(6521845*f(x)+769536)*(576*f(x)*x^4-600*f(x)*x^3+202*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025951 8.13986 [-(-25+404*x+2304*x^3-1800*x^2)/(12*x-1)/(3*x-1)/(2*x-1)/(8*x-1) lgdogf] A025951 9.35971 [1/(12*x-1)/(3*x-1)/(2*x-1)/(8*x-1) ogf] A025952 3.55617 [(213487709963*f(x)+26901254250)*(540*f(x)*x^4-564*f(x)*x^3+191*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025952 7.75864 [-2*(-12+191*x+1080*x^3-846*x^2)/(3*x-1)/(-1+9*x)/(2*x-1)/(10*x-1) lgdogf] A025952 9.20793 [1/(3*x-1)/(9*x-1)/(2*x-1)/(10*x-1) ogf] A025953 3.54634 [(3335211422561*f(x)+382365080064)*(594*f(x)*x^4-615*f(x)*x^3+205*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025953 7.96840 [-(-25+410*x+2376*x^3-1845*x^2)/(11*x-1)/(3*x-1)/(2*x-1)/(-1+9*x) lgdogf] A025953 9.30912 [1/(11*x-1)/(3*x-1)/(2*x-1)/(9*x-1) ogf] A025954 3.79121 [(244580531*f(x)+25712640)*(648*f(x)*x^4-666*f(x)*x^3+219*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A025954 7.93299 [-2*(-13+219*x+1296*x^3-999*x^2)/(12*x-1)/(3*x-1)/(-1+9*x)/(2*x-1) lgdogf] A025954 9.41030 [1/(12*x-1)/(3*x-1)/(9*x-1)/(2*x-1) ogf] A025955 3.47116 [(278749514467361*f(x)+28797378241500)*(660*f(x)*x^4-676*f(x)*x^3+221*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A025955 7.76986 [-2*(-13+221*x+1320*x^3-1014*x^2)/(3*x-1)/(2*x-1)/(10*x-1)/(11*x-1) lgdogf] A025955 9.35971 [1/(3*x-1)/(2*x-1)/(10*x-1)/(11*x-1) ogf] A025956 3.7446 [(93538963441*f(x)+8860392000)*(720*f(x)*x^4-732*f(x)*x^3+236*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A025956 8.18975 [-(-27+472*x+2880*x^3-2196*x^2)/(12*x-1)/(3*x-1)/(2*x-1)/(10*x-1) lgdogf] A025956 9.56209 [1/(12*x-1)/(3*x-1)/(2*x-1)/(10*x-1) ogf] A025957 3.22526 [(3261720474823*f(x)+281007023616)*(792*f(x)*x^4-798*f(x)*x^3+253*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A025957 7.01549 [-2*(-14+253*x+1584*x^3-1197*x^2)/(3*x-1)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A025957 8.46630 [1/(3*x-1)/(2*x-1)/(12*x-1)/(11*x-1) ogf] A025958 3.79731 [(107310418303*f(x)+32752728000)*(240*f(x)*x^4-268*f(x)*x^3+104*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A025958 8.98054 [-(-17+208*x+960*x^3-804*x^2)/(6*x-1)/(4*x-1)/(2*x-1)/(5*x-1) lgdogf] A025958 9.83232 [1/(6*x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A025959 10.2530 [1/(4*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A025959 3.8795 [(4200623207693*f(x)+1111199264000)*(280*f(x)*x^4-306*f(x)*x^3+115*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A025959 9.21948 [-2*(-9+115*x+560*x^3-459*x^2)/(4*x-1)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A025960 5.18855 [(5603758567*f(x)+1304704000)*(320*f(x)*x^4-344*f(x)*x^3+126*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A025960 8.34478 [-(-19+252*x+1280*x^3-1032*x^2)/(4*x-1)/(2*x-1)/(8*x-1)/(5*x-1) lgdogf] A025960 9.44532 [1/(4*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A025961 3.63689 [(202091179906451*f(x)+41959210464000)*(360*f(x)*x^4-382*f(x)*x^3+137*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025961 8.53347 [-2*(-10+137*x+720*x^3-573*x^2)/(4*x-1)/(-1+9*x)/(2*x-1)/(5*x-1) lgdogf] A025961 9.80661 [1/(4*x-1)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A025962 4.17257 [(391457*f(x)+73280)*(400*f(x)*x^4-420*f(x)*x^3+148*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025962 8.62523 [-(-21+296*x+1600*x^3-1260*x^2)/(4*x-1)/(2*x-1)/(5*x-1)/(10*x-1) lgdogf] A025962 9.90984 [1/(4*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A025963 3.33648 [(783520568640649*f(x)+133469996704000)*(440*f(x)*x^4-458*f(x)*x^3+159*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025963 7.87003 [-2*(-11+159*x+880*x^3-687*x^2)/(5*x-1)/(2*x-1)/(4*x-1)/(11*x-1) lgdogf] A025963 9.05616 [1/(5*x-1)/(2*x-1)/(4*x-1)/(11*x-1) ogf] A025964 3.62572 [(43181175829*f(x)+6746112000)*(480*f(x)*x^4-496*f(x)*x^3+170*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025964 8.45241 [-(8*x-1)*(240*x^2-156*x+23)/(12*x-1)/(4*x-1)/(2*x-1)/(5*x-1) lgdogf] A025964 9.25852 [1/(12*x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A025965 10.3581 [1/(6*x-1)/(4*x-1)/(2*x-1)/(7*x-1) ogf] A025965 4.02816 [(86934619327*f(x)+19552712256)*(336*f(x)*x^4-356*f(x)*x^3+128*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A025965 9.16576 [-(-19+256*x+1344*x^3-1068*x^2)/(6*x-1)/(4*x-1)/(2*x-1)/(7*x-1) lgdogf] A025966 3.90306 [(28342193*f(x)+5605632)*(384*f(x)*x^4-400*f(x)*x^3+140*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025966 8.71928 [-4*(-5+70*x+384*x^3-300*x^2)/(6*x-1)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A025966 9.54854 [1/(6*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A025967 3.93583 [(2336424409*f(x)+411801408)*(432*f(x)*x^4-444*f(x)*x^3+152*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025967 8.62523 [-(-21+304*x+1728*x^3-1332*x^2)/(6*x-1)/(4*x-1)/(-1+9*x)/(2*x-1) lgdogf] A025967 9.90984 [1/(6*x-1)/(4*x-1)/(9*x-1)/(2*x-1) ogf] A025968 3.85383 [(81183133141*f(x)+12893688000)*(480*f(x)*x^4-488*f(x)*x^3+164*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025968 8.62523 [-2*(-11+164*x+960*x^3-732*x^2)/(6*x-1)/(4*x-1)/(2*x-1)/(10*x-1) lgdogf] A025968 9.90984 [1/(6*x-1)/(4*x-1)/(2*x-1)/(10*x-1) ogf] A025969 3.42267 [(19806822514249*f(x)+2861240690880)*(528*f(x)*x^4-532*f(x)*x^3+176*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025969 7.91500 [-(-23+352*x+2112*x^3-1596*x^2)/(6*x-1)/(2*x-1)/(4*x-1)/(11*x-1) lgdogf] A025969 9.10675 [1/(6*x-1)/(2*x-1)/(4*x-1)/(11*x-1) ogf] A025970 3.97948 [(41591*f(x)+5508)*(576*f(x)*x^4-576*f(x)*x^3+188*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025970 8.36029 [-8*(-3+47*x+288*x^3-216*x^2)/(12*x-1)/(6*x-1)/(4*x-1)/(2*x-1) lgdogf] A025970 9.30912 [1/(12*x-1)/(6*x-1)/(4*x-1)/(2*x-1) ogf] A025971 4.73451 [(16629565447*f(x)+2843223040)*(448*f(x)*x^4-456*f(x)*x^3+154*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025971 8.53125 [-(-21+308*x+1792*x^3-1368*x^2)/(4*x-1)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A025971 9.65177 [1/(4*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A025972 3.67517 [(163519621772243*f(x)+24901000508160)*(504*f(x)*x^4-506*f(x)*x^3+167*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025972 8.49046 [-2*(-11+167*x+1008*x^3-759*x^2)/(4*x-1)/(-1+9*x)/(2*x-1)/(7*x-1) lgdogf] A025972 9.90984 [1/(4*x-1)/(9*x-1)/(2*x-1)/(7*x-1) ogf] A025973 3.72451 [(28576031184679*f(x)+3919581736000)*(560*f(x)*x^4-556*f(x)*x^3+180*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025973 8.62523 [-(-23+360*x+2240*x^3-1668*x^2)/(4*x-1)/(2*x-1)/(7*x-1)/(10*x-1) lgdogf] A025973 9.90984 [1/(4*x-1)/(2*x-1)/(7*x-1)/(10*x-1) ogf] A025974 3.37023 [(2323862382987617*f(x)+289817608484096)*(616*f(x)*x^4-606*f(x)*x^3+193*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025974 7.87987 [-2*(-12+193*x+1232*x^3-909*x^2)/(7*x-1)/(2*x-1)/(4*x-1)/(11*x-1) lgdogf] A025974 9.20793 [1/(7*x-1)/(2*x-1)/(4*x-1)/(11*x-1) ogf] A025975 3.59525 [(384177049619*f(x)+43911068544)*(672*f(x)*x^4-656*f(x)*x^3+206*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025975 8.09489 [-(-25+412*x+2688*x^3-1968*x^2)/(12*x-1)/(4*x-1)/(2*x-1)/(7*x-1) lgdogf] A025975 9.30912 [1/(12*x-1)/(4*x-1)/(2*x-1)/(7*x-1) ogf] A025976 3.88078 [(24225786913*f(x)+3239046144)*(576*f(x)*x^4-568*f(x)*x^3+182*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025976 8.62523 [-(-23+364*x+2304*x^3-1704*x^2)/(4*x-1)/(-1+9*x)/(2*x-1)/(8*x-1) lgdogf] A025976 9.90984 [1/(4*x-1)/(9*x-1)/(2*x-1)/(8*x-1) ogf] A025977 10.0647 [1/(4*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A025977 3.99732 [(1411150873*f(x)+169888000)*(640*f(x)*x^4-624*f(x)*x^3+196*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025977 9.35696 [-8*(5*x-1)*(64*x^2-34*x+3)/(4*x-1)/(2*x-1)/(8*x-1)/(10*x-1) lgdogf] A025978 3.64553 [(41311714177*f(x)+4520885248)*(704*f(x)*x^4-680*f(x)*x^3+210*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025978 8.09489 [-(-25+420*x+2816*x^3-2040*x^2)/(11*x-1)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A025978 9.30912 [1/(11*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A025979 3.77082 [(113824139*f(x)+11413440)*(768*f(x)*x^4-736*f(x)*x^3+224*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A025979 7.88940 [-2*(-13+224*x+1536*x^3-1104*x^2)/(12*x-1)/(4*x-1)/(2*x-1)/(8*x-1) lgdogf] A025979 9.35971 [1/(12*x-1)/(4*x-1)/(2*x-1)/(8*x-1) ogf] A025980 3.43363 [(152619288310577*f(x)+16349061384000)*(720*f(x)*x^4-692*f(x)*x^3+212*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025980 7.92413 [-(-25+424*x+2880*x^3-2076*x^2)/(4*x-1)/(-1+9*x)/(2*x-1)/(10*x-1) lgdogf] A025980 9.25852 [1/(4*x-1)/(9*x-1)/(2*x-1)/(10*x-1) ogf] A025981 3.42578 [(2864028667800233*f(x)+278824872243456)*(792*f(x)*x^4-754*f(x)*x^3+227*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A025981 7.76986 [-2*(-13+227*x+1584*x^3-1131*x^2)/(-1+9*x)/(2*x-1)/(4*x-1)/(11*x-1) lgdogf] A025981 9.35971 [1/(9*x-1)/(2*x-1)/(4*x-1)/(11*x-1) ogf] A025982 3.83197 [(938118203*f(x)+83669760)*(864*f(x)*x^4-816*f(x)*x^3+242*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A025982 8.14548 [-(-27+484*x+3456*x^3-2448*x^2)/(12*x-1)/(4*x-1)/(-1+9*x)/(2*x-1) lgdogf] A025982 9.51148 [1/(12*x-1)/(4*x-1)/(9*x-1)/(2*x-1) ogf] A025983 3.58488 [(9388205608381*f(x)+822462168000)*(880*f(x)*x^4-828*f(x)*x^3+244*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A025983 8.05694 [-(-27+488*x+3520*x^3-2484*x^2)/(2*x-1)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A025983 9.41030 [1/(2*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A025984 3.39094 [(211633417*f(x)+16983000)*(960*f(x)*x^4-896*f(x)*x^3+260*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A025984 7.30555 [-4*(-7+130*x+960*x^3-672*x^2)/(12*x-1)/(4*x-1)/(2*x-1)/(10*x-1) lgdogf] A025984 8.41679 [1/(12*x-1)/(4*x-1)/(2*x-1)/(10*x-1) ogf] A025985 3.2222 [(7950690064807*f(x)+579596535936)*(1056*f(x)*x^4-976*f(x)*x^3+278*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A025985 7.27805 [-(-29+556*x+4224*x^3-2928*x^2)/(2*x-1)/(12*x-1)/(4*x-1)/(11*x-1) lgdogf] A025985 8.36640 [1/(2*x-1)/(12*x-1)/(4*x-1)/(11*x-1) ogf] A025986 3.48772 [(61281539369941*f(x)+11515724734500)*(420*f(x)*x^4-424*f(x)*x^3+143*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A025986 8.25154 [-2*(-10+143*x+840*x^3-636*x^2)/(6*x-1)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A025986 9.34209 [1/(6*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A025987 3.70765 [(120711595747*f(x)+19918656000)*(480*f(x)*x^4-476*f(x)*x^3+156*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A025987 8.62373 [-3*(-7+104*x+640*x^3-476*x^2)/(6*x-1)/(2*x-1)/(8*x-1)/(5*x-1) lgdogf] A025987 9.60016 [1/(6*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A025988 3.88078 [(27201016073*f(x)+3995163000)*(540*f(x)*x^4-528*f(x)*x^3+169*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025988 8.49046 [-2*(-11+169*x+1080*x^3-792*x^2)/(6*x-1)/(-1+9*x)/(2*x-1)/(5*x-1) lgdogf] A025988 9.90984 [1/(6*x-1)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A025989 4.05074 [(13304588*f(x)+1759185)*(600*f(x)*x^4-580*f(x)*x^3+182*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025989 9.05649 [-(8*x-1)*(300*x^2-180*x+23)/(6*x-1)/(2*x-1)/(5*x-1)/(10*x-1) lgdogf] A025989 9.90984 [1/(6*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A025990 11.7252 [1/(6*x-1)/(5*x-1)/(2*x-1)/(11*x-1) ogf] A025990 4.34841 [(316938671115383*f(x)+38086360525125)*(660*f(x)*x^4-632*f(x)*x^3+195*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025990 8.26740 [-6*(-4+65*x+440*x^3-316*x^2)/(6*x-1)/(5*x-1)/(2*x-1)/(11*x-1) lgdogf] A025991 3.75044 [(283178723*f(x)+31176000)*(720*f(x)*x^4-684*f(x)*x^3+208*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025991 8.09489 [-(-25+416*x+2880*x^3-2052*x^2)/(12*x-1)/(6*x-1)/(2*x-1)/(5*x-1) lgdogf] A025991 9.30912 [1/(12*x-1)/(6*x-1)/(2*x-1)/(5*x-1) ogf] A025992 3.57046 [(3269845379226151*f(x)+465474642304000)*(560*f(x)*x^4-542*f(x)*x^3+171*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A025992 8.48759 [-2*(-11+171*x+1120*x^3-813*x^2)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A025992 9.75500 [1/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A025993 3.51235 [(920756531632745401*f(x)+116598242349288000)*(630*f(x)*x^4-601*f(x)*x^3+185*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A025993 9.05649 [-(8*x-1)*(315*x^2-186*x+23)/(-1+9*x)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A025993 9.90984 [1/(9*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A025994 3.99246 [(311995343*f(x)+35550578)*(700*f(x)*x^4-660*f(x)*x^3+199*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025994 8.49046 [-2*(-12+199*x+1400*x^3-990*x^2)/(2*x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A025994 9.90984 [1/(2*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A025995 3.26087 [(3567371613838534199*f(x)+369283013451968000)*(770*f(x)*x^4-719*f(x)*x^3+213*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025995 8.04991 [-(-25+426*x+3080*x^3-2157*x^2)/(7*x-1)/(5*x-1)/(2*x-1)/(11*x-1) lgdogf] A025995 9.25852 [1/(7*x-1)/(5*x-1)/(2*x-1)/(11*x-1) ogf] A025996 3.38158 [(50319148605517649*f(x)+4770529876224000)*(840*f(x)*x^4-778*f(x)*x^3+227*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A025996 7.88940 [-2*(-13+227*x+1680*x^3-1167*x^2)/(12*x-1)/(2*x-1)/(7*x-1)/(5*x-1) lgdogf] A025996 9.35971 [1/(12*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A025997 3.62713 [(2493325527892639*f(x)+276754900608000)*(720*f(x)*x^4-674*f(x)*x^3+201*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A025997 8.90803 [-6*(-4+67*x+480*x^3-337*x^2)/(-1+9*x)/(2*x-1)/(8*x-1)/(5*x-1) lgdogf] A025997 9.90984 [1/(9*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A025998 3.70967 [(709659929*f(x)+70853120)*(800*f(x)*x^4-740*f(x)*x^3+216*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A025998 8.00494 [-(-25+432*x+3200*x^3-2220*x^2)/(2*x-1)/(8*x-1)/(5*x-1)/(10*x-1) lgdogf] A025998 9.20793 [1/(2*x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A025999 3.42578 [(1733790112715893*f(x)+157212694144000)*(880*f(x)*x^4-806*f(x)*x^3+231*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A025999 7.88940 [-2*(-13+231*x+1760*x^3-1209*x^2)/(5*x-1)/(2*x-1)/(11*x-1)/(8*x-1) lgdogf] A025999 9.35971 [1/(5*x-1)/(2*x-1)/(11*x-1)/(8*x-1) ogf] A026000 6.20893 [4*f(x)^3*x^2+44*f(x)^3*x-4*f(x)^3+f(x)*x+3*f(x)+1 ogf] A026002 5.0023 [f(x)^2*x^4-6*f(x)^2*x^3+f(x)^2*x^2-f(x)*x^3+7*f(x)*x^2-7*f(x)*x+f(x)-1 ogf] A026003 6.35136 [f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A026004 4.88659 [27*f(x)^3*x^3-4*f(x)^3*x^2-27*f(x)^2*x^2+4*f(x)^2*x+7*f(x)*x-f(x)-8*x+1 ogf] A026004 7.69358 [1/16+7/16*x-27/16*x^2+27/16*x^3-1/16*((1-2*x+9*x^2)*(1-8*x+9*x^2)^2)^(1/2) revogf] A026006 3.60416 [(7451264090809*f(x)+618636096000)*(960*f(x)*x^4-872*f(x)*x^3+246*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A026006 8.22980 [-3*(-9+164*x+1280*x^3-872*x^2)/(12*x-1)/(2*x-1)/(8*x-1)/(5*x-1) lgdogf] A026006 9.46089 [1/(12*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A026007 15.8967 [-(x^2+x+1)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A026008 11.0871 [5+24*x+32*x^2+(-5-8*x+32*x^3+20*x^2)*f(x)+(-2*x^2+8*x^4+4*x^3-x)*f(x)^2 lgdogf] A026010 7.05272 [-2*f(x)^2*x^4+f(x)^2*x^3-2*f(x)*x^3-3*f(x)*x^2-x^2+f(x)-2*x-1 ogf] A026011 10.5745 [-(2*x^2+2*x+2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A026012 8.40624 [-f(x)^2*x^3+3*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1 ogf] A026013 9.25428 [-20+26*x-9*x^2+(5-28*x-12*x^3+35*x^2)*f(x)+(-6*x^2-4*x^4+9*x^3+x)*f(x)^2 lgdogf] A026014 9.04861 [42-64*x+25*x^2+(-7+40*x+20*x^3-53*x^2)*f(x)+(6*x^2+4*x^4-9*x^3-x)*f(x)^2 lgdogf] A026015 8.38955 [-72+118*x-49*x^2+(9-52*x-28*x^3+71*x^2)*f(x)+(-6*x^2-4*x^4+9*x^3+x)*f(x)^2 lgdogf] A026016 6.72934 [-f(x)^2*x^4-2*f(x)*x^3+6*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1 ogf] A026017 10.2652 [-30+43*x-16*x^2+(6-34*x-16*x^3+44*x^2)*f(x)+(-6*x^2-4*x^4+9*x^3+x)*f(x)^2 lgdogf] A026018 8.33267 [-56+89*x-36*x^2+(8-46*x-24*x^3+62*x^2)*f(x)+(-6*x^2-4*x^4+9*x^3+x)*f(x)^2 lgdogf] A026019 3.35767 [-27*f(x)^3*x^4+4*f(x)^3*x^3-81*f(x)^2*x^3+12*f(x)^2*x^2+42*f(x)*x^3-42*f(x)*x^2-8*x^3+12*f(x)*x+9*x^2-f(x)-9*x+1 ogf] A026024 3.64553 [(49954430669*f(x)+4431838860)*(900*f(x)*x^4-820*f(x)*x^3+233*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A026024 8.09489 [-2*(6*x-1)*(300*x^2-155*x+13)/(-1+9*x)/(2*x-1)/(5*x-1)/(10*x-1) lgdogf] A026024 9.30912 [1/(9*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A026026 9.68624 [15-44*x+36*x^2+(-5+36*x+48*x^3-76*x^2)*f(x)+(8*x^2+16*x^4-20*x^3-x)*f(x)^2 lgdogf] A026027 8.29595 [35-116*x+100*x^2+(-7+52*x+80*x^3-116*x^2)*f(x)+(8*x^2+16*x^4-20*x^3-x)*f(x)^2 lgdogf] A026028 3.25556 [(19038811805336877077*f(x)+1533666871741752000)*(990*f(x)*x^4-893*f(x)*x^3+249*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A026028 8.01267 [-3*(-9+166*x+1320*x^3-893*x^2)/(-1+9*x)/(5*x-1)/(2*x-1)/(11*x-1) lgdogf] A026028 9.35971 [1/(9*x-1)/(5*x-1)/(2*x-1)/(11*x-1) ogf] A026029 7.07995 [-f(x)^2*x^4-4*f(x)*x^3+10*f(x)*x^2-6*f(x)*x-4*x^2+f(x)+4*x-1 ogf] A026030 9.13466 [24-76*x+64*x^2+(-6+44*x+64*x^3-96*x^2)*f(x)+(8*x^2+16*x^4-20*x^3-x)*f(x)^2 lgdogf] A026031 8.50232 [48-164*x+144*x^2+(-8+60*x+96*x^3-136*x^2)*f(x)+(8*x^2+16*x^4-20*x^3-x)*f(x)^2 lgdogf] A026035 10.3324 [(x^2-x+2)/(x+1)/(x-1)^4 ogf] A026035 19.5091 [-(5+9*x+3*x^3-x^2)/(x-1)/(x+1)/(x^2-x+2) lgdogf] A026036 10.0183 [-(4+6*x-8*x^5+16*x^4+7*x^3+3*x^2+4*x^8-7*x^7+15*x^6)/(x-1)/(1+x^2)/(x^2-2*x+2)/(x^4+x^3+x^2+x+1) lgdogf] A026036 8.61753 [x*(x^2+1)*(x^2-2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026037 12.2592 [-(5*x^3-18*x^2+22*x-11)/(x-1)^4 ogf] A026037 18.2108 [-(-22+30*x+5*x^3-21*x^2)/(x-1)/(5*x^3-18*x^2+22*x-11) lgdogf] A026037 6.49496 [-(9184*f(x)+54361)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-18*x^2+f(x)+22*x-11) ogf] A026038 8.82005 [-(2*x^5-7*x^4+10*x^3-11*x^2+9*x-5)/(x^2+1)/(x-1)^4 ogf] A026038 9.73029 [-(-11+15*x+14*x^5-24*x^4+27*x^3-31*x^2+2*x^7-8*x^6)/(x-1)/(1+x^2)/(2*x^5-7*x^4+10*x^3-11*x^2+9*x-5) lgdogf] A026039 7.69386 [-(-4-4*x-4*x^5-4*x^4-11*x^3-3*x^2+x^11-3*x^10+3*x^9-5*x^8+2*x^7-8*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(x^7-3*x^6+3*x^5-2*x^4+x^3-2*x^2+2*x-2) lgdogf] A026039 7.87331 [-(x^7-3*x^6+3*x^5-2*x^4+x^3-2*x^2+2*x-2)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026040 14.6358 [-(x-2)*(7*x^2-13*x+10)/(x-1)/(7*x^3-24*x^2+28*x-12) lgdogf] A026040 4.13740 [{(11*n^2+69*n+94)*a(n+1)+(-16*n^2-58*n-22)*a(n+2)+(5*n^2+7*n-24)*a(n+3),a(0)=24,a(1)=40,a(2)=64} ogf] A026040 5.17879 [-(6*f(x)+103)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+14*x^3-4*f(x)*x-48*x^2+f(x)+56*x-24) ogf] A026040 9.39854 [-2*(7*x^3-24*x^2+28*x-12)/(x-1)^4 ogf] A026041 12.7428 [-(7*x^3-24*x^2+28*x-12)/(x-1)^4 ogf] A026041 19.6787 [-(x-2)*(7*x^2-13*x+10)/(x-1)/(7*x^3-24*x^2+28*x-12) lgdogf] A026041 5.54033 [{(11*n^2+69*n+94)*a(n+1)+(-16*n^2-58*n-22)*a(n+2)+(5*n^2+7*n-24)*a(n+3),a(0)=12,a(1)=20,a(2)=32} ogf] A026041 6.93484 [-(12*f(x)+103)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+7*x^3-4*f(x)*x-24*x^2+f(x)+28*x-12) ogf] A026042 7.75458 [-(2*x^7-5*x^6+3*x^5+x^4-3*x^3+4*x-4)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026042 7.87906 [-(-8+x^5-11*x^4-5*x^3-9*x^2+2*x^11-4*x^10+4*x^8-12*x^7+2*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^7-5*x^6+3*x^5+x^4-3*x^3+4*x-4) lgdogf] A026043 12.7772 [-(-67+139*x+30*x^3-110*x^2)/(x-1)/(30*x^3-100*x^2+113*x-45) lgdogf] A026043 3.96242 [{(115*n^2+755*n+1050)*a(n+1)+(-188*n^2-859*n-765)*a(n+2)+(73*n^2+230*n+33)*a(n+3),a(0)=45,a(1)=67,a(2)=98} ogf] A026043 5.0573 [(14144*f(x)+570203)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+30*x^3-4*f(x)*x-100*x^2+f(x)+113*x-45) ogf] A026043 9.26155 [-(30*x^3-100*x^2+113*x-45)/(x-1)^4 ogf] A026044 8.40234 [-(15*x^5-50*x^4+71*x^3-71*x^2+55*x-22)/(x^2+1)/(x-1)^4 ogf] A026044 8.80204 [-(-33+67*x+98*x^5-138*x^4+146*x^3-116*x^2+15*x^7-55*x^6)/(x-1)/(1+x^2)/(15*x^5-50*x^4+71*x^3-71*x^2+55*x-22) lgdogf] A026045 7.02208 [-(-13+x+17*x^5-11*x^4-5*x^3-9*x^2+6*x^11-10*x^10+4*x^8-2*x^7-18*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(6*x^7-14*x^6+8*x^5+x^4-x^3-7*x^2+14*x-9) lgdogf] A026045 7.08770 [-(6*x^7-14*x^6+8*x^5+x^4-x^3-7*x^2+14*x-9)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026046 10.7779 [-(55*x^3-180*x^2+199*x-76)/(x-1)^4 ogf] A026046 14.6556 [-(-105+237*x+55*x^3-195*x^2)/(x-1)/(55*x^3-180*x^2+199*x-76) lgdogf] A026046 4.25983 [{(2211*n^2+15081*n+21318)*a(n+1)+(-3824*n^2-19528*n-21240)*a(n+2)+(1613*n^2+6241*n+4206)*a(n+3),a(0)=76,a(1)=105,a(2)=144} ogf] A026046 6.0038 [(356*f(x)+28861)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+55*x^3-4*f(x)*x-180*x^2+f(x)+199*x-76) ogf] A026047 11.5313 [-(-52+12*x+27*x^5-41*x^4-51*x^3+89*x^2)/(x-1)/(x+1)/(27*x^4-61*x^3+8*x^2+62*x-38) lgdogf] A026047 9.78973 [-(27*x^4-61*x^3+8*x^2+62*x-38)/(x+1)/(x-1)^4 ogf] A026048 6.76543 [-(11*x^7-25*x^6+14*x^5+2*x^4-3*x^3-10*x^2+24*x-15)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026049 11.0757 [-(91*x^3-294*x^2+320*x-119)/(x-1)^4 ogf] A026049 15.0007 [-(-156+372*x+91*x^3-315*x^2)/(x-1)/(91*x^3-294*x^2+320*x-119) lgdogf] A026049 6.12079 [(1568*f(x)+230025)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+91*x^3-4*f(x)*x-294*x^2+f(x)+320*x-119) ogf] A026050 7.83999 [-(45*x^5-145*x^4+202*x^3-203*x^2+158*x-59)/(x^2+1)/(x-1)^4 ogf] A026050 7.97804 [-(-78+186*x+271*x^5-385*x^4+412*x^3-312*x^2+45*x^7-155*x^6)/(x-1)/(45*x^5-145*x^4+202*x^3-203*x^2+158*x-59)/(1+x^2) lgdogf] A026051 6.82229 [-(18*x^7-40*x^6+22*x^5+2*x^4-3*x^3-16*x^2+38*x-23)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026052 10.0690 [-(x^3-x^2-2)/(x^2+1)/(x+1)/(x-1)^4 ogf] A026052 14.7817 [-2*(-3-4*x-x^5-7*x^3-3*x^2+2*x^6)/(x-1)/(x+1)/(1+x^2)/(x^3-x^2-2) lgdogf] A026053 11.1763 [-(-2-4*x+4*x^5-8*x^4-3*x^3-3*x^2+5*x^7-9*x^6)/(x-1)/(x^3-2*x^2+x-1)/(x^4+x^3+x^2+x+1) lgdogf] A026053 9.56519 [-(x^3-2*x^2+x-1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026054 11.9674 [-(4*x^3-16*x^2+24*x-13)/(x-1)^4 ogf] A026054 18.4671 [-4*(-7+10*x+x^3-5*x^2)/(x-1)/(4*x^3-16*x^2+24*x-13) lgdogf] A026054 5.09249 [{(9*n^2+63*n+90)*a(n+1)+(-22*n^2-166*n-300)*a(n+2)+(13*n^2+91*n+156)*a(n+3),a(0)=13,a(1)=28,a(2)=50} ogf] A026054 6.60267 [(131*f(x)+6915)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-16*x^2+f(x)+24*x-13) ogf] A026055 7.77604 [-(2*x^6-6*x^5+6*x^4-x^3-x^2+4*x-6)/(x^2+1)/(x+1)/(x-1)^4 ogf] A026055 8.77248 [-2*(-7-4*x+2*x^5+3*x^4-6*x^3-6*x^2+x^9-3*x^8+3*x^7+x^6)/(x-1)/(x+1)/(1+x^2)/(2*x^6-6*x^5+6*x^4-x^3-x^2+4*x-6) lgdogf] A026056 11.5489 [-(-5-5*x+7*x^5-13*x^4-3*x^3-3*x^2+5*x^7-3*x^6)/(x-1)/(x^3-x^2+x-2)/(x^4+x^3+x^2+x+1) lgdogf] A026056 9.76447 [-(x^3-x^2+x-2)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026057 11.3286 [-x*(6*x^2-9*x+2)/(x-1)^4 ogf] A026057 22.1440 [-(-1-15*x+12*x^2)/(x-1)/(6*x^2-9*x+2) lgdogf] A026057 4.11436 [{(-6-2*n)*a(n+4)+(21+11*n)*a(n+3)+(-15*n-30)*a(n+2)+(12+6*n)*a(n+1),a(0)=0,a(1)=-2,a(2)=1,a(3)=10} ogf] A026057 5.94954 [(376*f(x)+74205)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+6*x^3-4*f(x)*x-9*x^2+f(x)+2*x) ogf] A026058 7.49791 [-(5*x^6-15*x^5+14*x^4-2*x^3-5*x^2+14*x-13)/(x^2+1)/(x+1)/(x-1)^4 ogf] A026058 7.61202 [-(-25-7*x-4*x^5+30*x^4-14*x^3-18*x^2+5*x^9-15*x^8+12*x^7+4*x^6)/(x-1)/(x+1)/(1+x^2)/(5*x^6-15*x^5+14*x^4-2*x^3-5*x^2+14*x-13) lgdogf] A026059 7.75173 [-(2*x^7-6*x^6+5*x^5+x^4-2*x^3-x^2+5*x-5)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026060 11.3626 [-(20*x^3-76*x^2+100*x-45)/(x-1)^4 ogf] A026060 16.0761 [-4*(-20+37*x+5*x^3-23*x^2)/(x-1)/(20*x^3-76*x^2+100*x-45) lgdogf] A026060 4.58983 [{(383*n^2+3145*n+4758)*a(n+1)+(-858*n^2-7416*n-14280)*a(n+2)+(475*n^2+3995*n+7710)*a(n+3),a(0)=45,a(1)=80,a(2)=126} ogf] A026060 6.29551 [(235*f(x)+96933)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+20*x^3-4*f(x)*x-76*x^2+f(x)+100*x-45) ogf] A026061 6.87882 [-(10*x^6-28*x^5+22*x^4-x^3-9*x^2+26*x-22)/(x^2+1)/(x+1)/(x-1)^4 ogf] A026061 7.14441 [-2*(-20-3*x-3*x^5+26*x^4-9*x^3-9*x^2+5*x^9-13*x^8+6*x^7+4*x^6)/(x-1)/(x+1)/(1+x^2)/(10*x^6-28*x^5+22*x^4-x^3-9*x^2+26*x-22) lgdogf] A026062 7.54166 [-(4*x^7-12*x^6+11*x^5-2*x^4-4*x^2+11*x-9)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026063 11.0708 [-(35*x^3-130*x^2+165*x-71)/(x-1)^4 ogf] A026063 15.0593 [-(-119+235*x+35*x^3-155*x^2)/(x-1)/(35*x^3-130*x^2+165*x-71) lgdogf] A026063 4.50428 [{(397*n^2+3539*n+5490)*a(n+1)+(-872*n^2-8136*n-16116)*a(n+2)+(475*n^2+4363*n+8814)*a(n+3),a(0)=71,a(1)=119,a(2)=180} ogf] A026063 6.20861 [(58*f(x)+49889)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+35*x^3-4*f(x)*x-130*x^2+f(x)+165*x-71) ogf] A026064 6.94452 [-(17*x^6-46*x^5+33*x^4+x^3-18*x^2+46*x-35)/(x^2+1)/(x+1)/(x-1)^4 ogf] A026064 6.98631 [-(-59-3*x-24*x^5+94*x^4-26*x^3-18*x^2+17*x^9-41*x^8+12*x^7+16*x^6)/(x-1)/(x+1)/(1+x^2)/(17*x^6-46*x^5+33*x^4+x^3-18*x^2+46*x-35) lgdogf] A026065 6.98423 [-(7*x^7-19*x^6+14*x^5-x^4+2*x^3-9*x^2+19*x-14)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026066 10.7402 [-(56*x^3-204*x^2+252*x-105)/(x-1)^4 ogf] A026066 14.7825 [-4*(-42+87*x+14*x^3-60*x^2)/(x-1)/(56*x^3-204*x^2+252*x-105) lgdogf] A026066 4.74831 [{(6*n^2+58*n+92)*a(n+1)+(-13*n^2-131*n-266)*a(n+2)+(7*n^2+70*n+147)*a(n+3),a(0)=105,a(1)=168,a(2)=246} ogf] A026066 5.9747 [(577*f(x)+923605)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+56*x^3-4*f(x)*x-204*x^2+f(x)+252*x-105) ogf] A026067 6.87737 [-(28*x^6-74*x^5+52*x^4-x^3-27*x^2+72*x-52)/(x^2+1)/(x+1)/(x-1)^4 ogf] A026067 6.91824 [-2*(-42+3*x-18*x^5+67*x^4-12*x^3-12*x^2+14*x^9-32*x^8+9*x^7+7*x^6)/(x-1)/(x+1)/(28*x^6-74*x^5+52*x^4-x^3-27*x^2+72*x-52)/(1+x^2) lgdogf] A026068 6.26017 [-(11*x^7-29*x^6+20*x^5+x^3-13*x^2+30*x-21)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A026083 3.37100 [{(-3*n-9)*a(n+1)+(n+14)*a(n+2)+(3*n+19)*a(n+3)+(-n-8)*a(n+4),a(0)=6,a(1)=12,a(2)=38,a(3)=104} ogf] A026084 3.37157 [{(3*n+9)*a(n+1)+(-n-17)*a(n+2)+(-3*n-21)*a(n+3)+(n+9)*a(n+4),a(0)=3,a(1)=13,a(2)=33,a(3)=98} ogf] A026097 13.3288 [(4*x^3+2*x^2+x-1)/(3*x-1) ogf] A026097 14.4395 [2*(1-2*x+12*x^3-3*x^2)/(3*x-1)/(4*x^3+2*x^2+x-1) lgdogf] A026097 7.35860 [{-a(n+4)+3*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A026097 8.51117 [(f(x)-1)*(-4*x^3+3*f(x)*x-2*x^2-f(x)-x+1) ogf] A026108 3.56985 [(17541554132003*f(x)+1293568704000)*(1080*f(x)*x^4-966*f(x)*x^3+265*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A026108 7.94157 [-2*(-14+265*x+2160*x^3-1449*x^2)/(12*x-1)/(-1+9*x)/(2*x-1)/(5*x-1) lgdogf] A026108 9.39433 [1/(12*x-1)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A026121 10.2641 [-27*f(x)*x^2+12*f(x)*x-f(x)+3*x ogf] A026121 16.0541 [3*x/(9*x-1)/(3*x-1) ogf] A026121 17.1422 [-1/18*(-1-4*x+(1+8*x+4*x^2)^(1/2))/x revogf] A026121 21.2800 [-6*(-2+9*x)/(-1+9*x)/(-1+3*x) lgdogf] A026121 7.54347 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=0,a(1)=3} ogf] A026122 3.58087 [{(3*n+9)*a(n+1)+(-n-12)*a(n+2)+(-3*n-23)*a(n+3)+(n+10)*a(n+4),a(0)=2,a(1)=4,a(2)=11,a(3)=28} ogf] A026135 3.88090 [{-3*a(n)*n+(n+5)*a(n+1)+(3*n+12)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A026135 4.93136 [-3*f(x)^2*x^3+f(x)^2*x^2+3*f(x)*x^3-f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)+x-1 ogf] A026149 3.71111 [(6911623126*f(x)+500449345)*(1100*f(x)*x^4-980*f(x)*x^3+267*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A026149 7.81279 [-2*(-14+267*x+2200*x^3-1470*x^2)/(5*x-1)/(2*x-1)/(10*x-1)/(11*x-1) lgdogf] A026149 9.24521 [1/(5*x-1)/(2*x-1)/(10*x-1)/(11*x-1) ogf] A026150 12.8152 [(x-1)/(2*x^2+2*x-1) ogf] A026150 16.1043 [-(-1-4*x+2*x^2)/(x-1)/(2*x^2+2*x-1) lgdogf] A026150 6.62854 [(18*f(x)-17)*(2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A026150 7.03273 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=1} ogf] A026155 3.49202 [(x^6-6*x^5-13*x^4+8*x^3+8*x^2-6*x+1)*(x-1)^2/(x^6-3*x^5-5*x^4+8*x^3+4*x^2-5*x+1)/(7*x^6+7*x^5-21*x^4+14*x^2-7*x+1) ogf] A026165 6.25285 [-3*f(x)^2*x^4+f(x)^2*x^3+3*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1 ogf] A026184 6.28492 [-(3+10*x+36*x^5+36*x^4+28*x^3+9*x^8+20*x^7+10*x^6+6*x^2+2*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1) lgdogf] A026184 8.51902 [(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A026185 7.75556 [(x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A026200 6.33863 [-2*(1+4*x+18*x^5+17*x^4+6*x^3+6*x^8+2*x^7+15*x^6+9*x^2+2*x^9)/(x-1)/(x+1)/(x^2+1)/(2*x^6+4*x^5+x^4+6*x^3+4*x^2+2*x+1) lgdogf] A026200 8.51902 [(2*x^6+4*x^5+x^4+6*x^3+4*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A026201 7.75556 [(3*x^6+x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A026208 6.28492 [-(3+10*x+36*x^5+36*x^4+28*x^3+9*x^8+20*x^7+10*x^6+6*x^2+2*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1) lgdogf] A026208 8.51902 [(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A026209 7.75556 [(x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A026218 6.33863 [-2*(1+4*x+18*x^5+17*x^4+6*x^3+6*x^8+2*x^7+15*x^6+9*x^2+2*x^9)/(x-1)/(x+1)/(x^2+1)/(2*x^6+4*x^5+x^4+6*x^3+4*x^2+2*x+1) lgdogf] A026218 8.51902 [(2*x^6+4*x^5+x^4+6*x^3+4*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A026219 7.75556 [(3*x^6+x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A026241 3.29608 [(2183738513*f(x)+144725184)*(1200*f(x)*x^4-1060*f(x)*x^3+284*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A026241 7.19141 [-(-29+568*x+4800*x^3-3180*x^2)/(12*x-1)/(2*x-1)/(5*x-1)/(10*x-1) lgdogf] A026241 8.12655 [1/(12*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A026243 27.3614 [(7-7*x+2*x^2)/(x-1)/(2*x-3) lgdegf] A026243 3.32459 [{(n^2+5*n+6)*a(n+1)+(-4*n^2-30*n-54)*a(n+2)+(3*n^2+28*n+58)*a(n+3)+(-9-3*n)*a(n+4),a(0)=0,a(1)=3,a(2)=14,a(3)=63} ogf] A026244 14.2928 [-(10*x-1)/(16*x-1)/(4*x-1) ogf] A026244 14.9839 [-2*(5-64*x+320*x^2)/(4*x-1)/(16*x-1)/(10*x-1) lgdogf] A026244 16.4458 [-1/4*(-1-20*x+(1+144*x^2)^(1/2))/(32*x+5) revogf] A026244 7.37693 [-(18*f(x)+7)*(64*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A026244 8.07124 [{a(n+2)-20*a(n+1)+64*a(n),a(0)=1,a(1)=10} ogf] A026269 4.28385 [{3*a(n)*n+(-n-3)*a(n+1)+(-3*n-16)*a(n+2)+(n+7)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A026269 5.61216 [-f(x)^2*x^4+f(x)*x^4+2*f(x)*x^3-x^4-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1 ogf] A026270 4.40339 [{3*a(n)*n+(-n-6)*a(n+1)+(-3*n-18)*a(n+2)+(n+8)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A026308 2.98053 [(1040324967915662773*f(x)+62573899994496000)*(1320*f(x)*x^4-1154*f(x)*x^3+303*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A026308 7.39357 [-6*(-5+101*x+880*x^3-577*x^2)/(5*x-1)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A026308 8.22216 [1/(5*x-1)/(2*x-1)/(12*x-1)/(11*x-1) ogf] A026313 6.12696 [(2*x^12+x^11+2*x^10+x^9+2*x^8+x^7+3*x^6+3*x^5+x^4+2*x^3+x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A026314 6.56109 [x*(2*x^8+x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A026315 5.77995 [x*(3*x^10+3*x^9+3*x^8+3*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A026316 5.50617 [(2*x^11+3*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A026317 5.57979 [x*(x^10+2*x^9+x^8+3*x^7+3*x^6+3*x^5+3*x^4+x^3+2*x^2+x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A026324 3.73585 [(7501077151679*f(x)+901569166848)*(672*f(x)*x^4-628*f(x)*x^3+188*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A026324 8.67111 [-(-23+376*x+2688*x^3-1884*x^2)/(6*x-1)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A026324 9.80661 [1/(6*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A026326 3.82725 [(331960545169*f(x)+35460248607)*(756*f(x)*x^4-696*f(x)*x^3+203*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A026326 8.35984 [-2*(-12+203*x+1512*x^3-1044*x^2)/(6*x-1)/(-1+9*x)/(2*x-1)/(7*x-1) lgdogf] A026326 9.90984 [1/(6*x-1)/(9*x-1)/(2*x-1)/(7*x-1) ogf] A026329 3.71599 [-(x-1)*(x^6-6*x^5-13*x^4+8*x^3+8*x^2-6*x+1)/(x^6-3*x^5-5*x^4+8*x^3+4*x^2-5*x+1)/(7*x^6+7*x^5-21*x^4+14*x^2-7*x+1) ogf] A026337 11.1503 [-64*f(x)*x^2+20*f(x)*x-f(x)+6*x ogf] A026337 12.6666 [-1/64*(-10*x-3+(2*x+3)^(1/2)*(6*x+1)^(1/2)*3^(1/2))/x revogf] A026337 17.4402 [6*x/(16*x-1)/(4*x-1) ogf] A026337 23.1494 [-4*(-5+32*x)/(16*x-1)/(4*x-1) lgdogf] A026337 8.19477 [{a(n+2)-20*a(n+1)+64*a(n),a(0)=0,a(1)=6} ogf] A026375 17.0710 [-(-3*x+(4*x^2+1)^(1/2))/(-1+5*x^2)*x revogf] A026375 26.7198 [-(-3+5*x)/(5*x-1)/(x-1) lgdogf] A026375 4.09868 [{(-n-3)*a(n+3)+(15+6*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=1,a(1)=3,a(2)=11} ogf] A026375 9.95395 [5*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A026376 4.06084 [{(-5*n^2-35*n-60)*a(n+1)+(6*n^2+45*n+84)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=6,a(2)=30} ogf] A026376 6.46861 [5*f(x)^2*x^4-6*f(x)^2*x^3+f(x)^2*x^2+5*f(x)*x^2-6*f(x)*x+f(x)-1 ogf] A026377 3.16098 [{(-5*n^2-45*n-100)*a(n+1)+(6*n^2+57*n+135)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=9,a(2)=58} ogf] A026378 30.0111 [x*(1+x)/(1+5*x+5*x^2) revogf] A026378 4.20114 [{(-5*n-10)*a(n+1)+(6*n+20)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=4,a(2)=17} ogf] A026378 6.49725 [-1/2*(5*x-1+10*(5*x-1)^(1/2)*(x-1)^(1/2)*x-(5*x-1)^(1/2)*(x-1)^(1/2))/(5*x-1)^(3/2)/(x-1)^(1/2)/x lgdogf] A026378 8.34774 [5*f(x)^2*x^2-f(x)^2*x+5*f(x)*x-f(x)+1 ogf] A026379 3.43259 [{(-5*n^2-35*n-60)*a(n+1)+(6*n^2+50*n+104)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=1,a(1)=7,a(2)=39} ogf] A026379 6.08935 [-1/2*(15*x-3+20*(5*x-1)^(1/2)*(x-1)^(1/2)*x-3*(5*x-1)^(1/2)*(x-1)^(1/2))/(5*x-1)^(3/2)/(x-1)^(1/2)/x lgdogf] A026379 6.47187 [-5*f(x)^2*x^4+f(x)^2*x^3+10*f(x)*x^2-7*f(x)*x+f(x)-1 ogf] A026381 14.2944 [-(4+18*x+15*x^3+17*x^2)/(x-1)/(x+1)/(5*x^2+3*x+1) lgdogf] A026381 9.29418 [-(5*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A026382 10.6241 [-(6+28*x+52*x^4+53*x^3+77*x^2)/(x-1)/(x+1)/(13*x^3+8*x^2+5*x+1) lgdogf] A026382 6.70458 [(13*x^3+8*x^2+5*x+1)/(x+1)^3/(x-1)^4 ogf] A026383 10.6288 [{-a(n+2)+5*a(n),a(0)=1,a(1)=2} ogf] A026383 16.5912 [-(2*x+1)/(5*x^2-1) ogf] A026383 16.6659 [1/5*5^(1/2)*(-arcsinh(2)+arcsinh(2+5*x)) revegf] A026383 19.6069 [-2*(1+5*x+5*x^2)/(2*x+1)/(5*x^2-1) lgdogf] A026383 9.85854 [(15*f(x)-23)*(5*f(x)*x^2-f(x)+2*x+1) ogf] A026384 13.6841 [-(-3-10*x+20*x^3+5*x^2)/(x-1)/(2*x+1)/(5*x^2-1) lgdogf] A026384 14.1895 [(2*x+1)/(x-1)/(5*x^2-1) ogf] A026384 6.71468 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A026384 7.23118 [(5*f(x)-13)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A026385 10.0366 [-(x^2+x+1)/(x^4+3*x^3+x^2-1) ogf] A026385 10.2947 [-(1+4*x+2*x^5+6*x^4+10*x^3+10*x^2)/(x^2+x+1)/(x^4+3*x^3+x^2-1) lgdogf] A026385 5.87727 [(9*f(x)-2)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+x^2-f(x)+x+1) ogf] A026387 26.8358 [x*(x+2)/(4+10*x+5*x^2) revogf] A026387 3.93956 [{(-5*n-10)*a(n+1)+(6*n+20)*a(n+2)+(-n-4)*a(n+3),a(0)=2,a(1)=8,a(2)=34} ogf] A026387 6.08648 [-1/2*(5*x-1+10*(5*x-1)^(1/2)*(x-1)^(1/2)*x-(5*x-1)^(1/2)*(x-1)^(1/2))/(5*x-1)^(3/2)/(x-1)^(1/2)/x lgdogf] A026387 7.72761 [-5*f(x)^2*x^2+f(x)^2*x-10*f(x)*x+2*f(x)-4 ogf] A026388 10.1791 [1/2/(5*x^2-1-5*x)*(-1-6*x+x^2+((x^2+6*x+1)*(1+x)^2)^(1/2)) revogf] A026388 6.08842 [5*f(x)^2*x^3-f(x)^2*x^2-5*f(x)*x^2+6*f(x)*x-f(x)-x+1 ogf] A026390 10.9499 [(x^2+x+2)/(x-1)/(x^2+x-1) ogf] A026390 11.1100 [-(-5-2*x+x^4+2*x^3+8*x^2)/(x-1)/(x^2+x+2)/(x^2+x-1) lgdogf] A026390 6.04525 [(71*f(x)-121)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-x-2) ogf] A026390 6.10888 [{-a(n+3)+2*a(n+2)-a(n),a(0)=2,a(1)=5,a(2)=11} ogf] A026391 3.44997 [(4192889501672*f(x)+402715742625)*(840*f(x)*x^4-764*f(x)*x^3+218*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A026391 7.87003 [-(-25+436*x+3360*x^3-2292*x^2)/(6*x-1)/(2*x-1)/(7*x-1)/(10*x-1) lgdogf] A026391 9.05616 [1/(6*x-1)/(2*x-1)/(7*x-1)/(10*x-1) ogf] A026392 5.1018 [-5*f(x)^2*x^4+f(x)^2*x^2-10*f(x)*x^3-5*f(x)*x^2+2*f(x)*x-4*x^2+f(x)-4*x-1 ogf] A026393 11.6103 [-(4+12*x+6*x^4+9*x^3+23*x^2)/(x-1)/(x+1)/(3*x^3+2*x^2+3*x+1) lgdogf] A026393 9.75704 [-(3*x^3+2*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A026394 7.45339 [(8*x^4+5*x^3+9*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A026394 8.47363 [-(5+29*x+24*x^5+28*x^4+82*x^3+48*x^2)/(x-1)/(x+1)/(8*x^4+5*x^3+9*x^2+4*x+1) lgdogf] A026395 13.8130 [(x^2-2*x-1)/(5*x^2-1) ogf] A026395 17.9252 [2*(1+4*x+5*x^2)/(5*x^2-1)/(x^2-2*x-1) lgdogf] A026395 8.05761 [{-a(n+3)+5*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A026395 8.56757 [-(9*f(x)-4)*(5*f(x)*x^2-x^2-f(x)+2*x+1) ogf] A026396 10.3854 [-(7+20*x+25*x^4-40*x^3-20*x^2)/(x-1)/(5*x^2-4*x-3)/(5*x^2-1) lgdogf] A026396 12.8352 [-(5*x^2-4*x-3)/(x-1)/(5*x^2-1) ogf] A026396 6.74956 [-(5*f(x)+18)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+5*x^2+f(x)-4*x-3) ogf] A026396 6.92876 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n),a(0)=3,a(1)=7,a(2)=17} ogf] A026397 5.46017 [-(53*f(x)-1)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+x^3+2*x^2-f(x)+2*x+1) ogf] A026397 9.08158 [-(2+6*x+4*x^5+11*x^4+16*x^3+x^6+14*x^2)/(x+1)/(x^2+x+1)/(x^4+3*x^3+x^2-1) lgdogf] A026397 9.27481 [-(x^2+x+1)*(x+1)/(x^4+3*x^3+x^2-1) ogf] A026418 7.80554 [f(x)^2*x^2-f(x)*x^2+f(x)*x+x^2-f(x)-x+1 ogf] A026449 6.21657 [-(3*x^26-2*x^25-x^24+2*x^21-2*x^20+x^7-x^5-x^3-2*x-1)/(x+1)/(x-1)^2 ogf] A026471 7.64079 [(9*x^11-7*x^10+9*x^8+7*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A026472 3.96140 [(5*x^6-3*x^5+5*x^4+3*x^3+x+1)/(x+1)/(x-1)^2 ogf] A026473 4.23250 [-(x^15+11*x^14-12*x^13-11*x^12+11*x^11+11*x^10-10*x^9-10*x^8+6*x^7-x^6-7*x^5+x^4-x^2-x-1)/(x+1)/(x-1)^2 ogf] A026474 12.7573 [(3*x^4+2*x^3+x^2+1)/(x-1)^2 ogf] A026474 15.6369 [2*(-1-x+3*x^4-5*x^3-3*x^2)/(x-1)/(3*x^4+2*x^3+x^2+1) lgdogf] A026474 6.52931 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=15} ogf] A026474 8.54869 [f(x)*(-3*x^4+f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A026475 6.45611 [(13*x^14-11*x^13+13*x^10-x^8+12*x^6+x^5+x^4+x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A026476 10.4109 [(-3-5*x-4*x^5-32*x^4-11*x^3+12*x^6-13*x^2)/(x-1)/(x+1)/(6*x^5+2*x^4+3*x^3+2*x+1) lgdogf] A026476 11.0265 [(6*x^5+2*x^4+3*x^3+2*x+1)/(x+1)/(x-1)^2 ogf] A026484 6.17769 [(3*x^5+1)/(x-1)^2 ogf] A026484 8.76067 [(-2+9*x^5-15*x^4)/(x-1)/(1+3*x^5) lgdogf] A026488 5.07392 [(3*x^4-x^2+x+1)/(x-1)^2 ogf] A026488 7.21718 [(-3+x+6*x^4-12*x^3)/(x-1)/(3*x^4-x^2+x+1) lgdogf] A026488 7.58875 [-(51*f(x)+139)*(f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-x-1) ogf] A026532 10.1528 [{a(n+2)-6*a(n),a(0)=1,a(1)=3} ogf] A026532 11.1128 [-(10*f(x)-1)*(6*f(x)*x^2-f(x)+3*x+1) ogf] A026532 15.8483 [-(3*x+1)/(6*x^2-1) ogf] A026532 16.7487 [1/6*(-1+(1+12*x+24*x^2)^(1/2))/(1+2*x) revogf] A026532 18.7191 [-3*(1+4*x+6*x^2)/(3*x+1)/(6*x^2-1) lgdogf] A026534 12.6372 [(3*x+1)/(x-1)/(6*x^2-1) ogf] A026534 16.0108 [-4*(-1-3*x+9*x^3)/(x-1)/(3*x+1)/(6*x^2-1) lgdogf] A026534 5.92719 [{-a(n+3)+a(n+2)+6*a(n+1)-6*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A026534 6.25956 [-(3*f(x)+7)*(6*f(x)*x^3-6*f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A026542 4.33006 [(1730721125005307*f(x)+150924824459640)*(924*f(x)*x^4-832*f(x)*x^3+233*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A026542 7.84581 [-2*(-13+233*x+1848*x^3-1248*x^2)/(6*x-1)/(7*x-1)/(2*x-1)/(11*x-1) lgdogf] A026542 9.30912 [1/(6*x-1)/(7*x-1)/(2*x-1)/(11*x-1) ogf] A026543 3.60944 [(193475795293*f(x)+15444088128)*(1008*f(x)*x^4-900*f(x)*x^3+248*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A026543 8.18483 [-(-27+496*x+4032*x^3-2700*x^2)/(12*x-1)/(6*x-1)/(2*x-1)/(7*x-1) lgdogf] A026543 9.24521 [1/(12*x-1)/(6*x-1)/(2*x-1)/(7*x-1) ogf] A026549 12.2054 [(15*f(x)-11)*(6*f(x)*x^2-f(x)+2*x+1) ogf] A026549 15.6044 [-(2*x+1)/(6*x^2-1) ogf] A026549 16.9312 [1/4*(-1+(1+8*x+24*x^2)^(1/2))/(1+3*x) revogf] A026549 18.4251 [-2*(1+6*x+6*x^2)/(2*x+1)/(6*x^2-1) lgdogf] A026549 9.99659 [{-a(n+2)+6*a(n),a(0)=1,a(1)=2} ogf] A026551 10.5359 [-3*(2*x^2-2*x-1)/(x-1)/(6*x^2-1) ogf] A026551 10.8535 [-(3+8*x+12*x^4-24*x^3-4*x^2)/(x-1)/(6*x^2-1)/(2*x^2-2*x-1) lgdogf] A026551 5.54042 [-(9*f(x)+25)*(6*f(x)*x^3-6*f(x)*x^2-f(x)*x+6*x^2+f(x)-6*x-3) ogf] A026551 5.68751 [{-a(n+3)+a(n+2)+6*a(n+1)-6*a(n),a(0)=3,a(1)=9,a(2)=21} ogf] A026561 3.93583 [(8053052777*f(x)+753090048)*(864*f(x)*x^4-780*f(x)*x^3+220*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A026561 8.62523 [-(-25+440*x+3456*x^3-2340*x^2)/(6*x-1)/(8*x-1)/(2*x-1)/(-1+9*x) lgdogf] A026561 9.90984 [1/(6*x-1)/(8*x-1)/(2*x-1)/(9*x-1) ogf] A026562 3.59525 [(635709140833*f(x)+53432352000)*(960*f(x)*x^4-856*f(x)*x^3+236*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A026562 7.84581 [-2*(-13+236*x+1920*x^3-1284*x^2)/(6*x-1)/(2*x-1)/(8*x-1)/(10*x-1) lgdogf] A026562 9.30912 [1/(6*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A026565 13.3288 [-(3*x^2+3*x+1)/(6*x^2-1) ogf] A026565 15.9946 [-3*(1+6*x+6*x^2)/(3*x^2+3*x+1)/(6*x^2-1) lgdogf] A026565 7.77513 [{a(n+3)-6*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A026565 8.70816 [(5*f(x)-3)*(6*f(x)*x^2+3*x^2-f(x)+3*x+1) ogf] A026567 10.9963 [-(-4-18*x+18*x^4+36*x^3+3*x^2)/(x-1)/(3*x^2+3*x+1)/(6*x^2-1) lgdogf] A026567 11.0345 [(3*x^2+3*x+1)/(x-1)/(6*x^2-1) ogf] A026567 5.75304 [-(6*f(x)+139)*(6*f(x)*x^3-6*f(x)*x^2-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A026567 5.95667 [{a(n+3)-a(n+2)-6*a(n+1)+6*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A026569 20.0071 [-(-1-3*x+6*x^2)/(x-1)/(-1+x+4*x^2) lgdogf] A026569 3.52206 [{(-n-4)*a(n+4)+(7+2*n)*a(n+3)+(9+3*n)*a(n+2)+(-10-4*n)*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A026569 8.56598 [4*f(x)^2*x^3-3*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A026570 5.87042 [4*f(x)^2*x^4+f(x)^2*x^3-f(x)^2*x^2+4*f(x)*x^2+f(x)*x-f(x)+1 ogf] A026581 10.0269 [f(x)*(4*f(x)*x^2+f(x)*x-f(x)+2*x+1) ogf] A026581 16.4111 [1/4*(-1-x+(17*x^2+1+10*x)^(1/2))/(1+2*x) revogf] A026581 17.1572 [-(2*x+1)/(4*x^2+x-1) ogf] A026581 18.7555 [-(3+8*x+8*x^2)/(2*x+1)/(-1+x+4*x^2) lgdogf] A026581 9.41551 [{a(n+2)-a(n+1)-4*a(n),a(0)=1,a(1)=3} ogf] A026583 12.0640 [(2*x+1)/(x-1)/(4*x^2+x-1) ogf] A026583 12.5242 [-2*(-2-3*x+8*x^3+3*x^2)/(x-1)/(2*x+1)/(-1+x+4*x^2) lgdogf] A026583 5.65835 [{a(n+3)-2*a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A026583 5.76029 [-(509*f(x)-352)*(4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-2*x-1) ogf] A026585 10.0005 [-4*f(x)^2*x^2-f(x)^2*x+f(x)^2+x-1 ogf] A026585 22.7529 [-2*x*(x-2)/(x-1)/(-1+x+4*x^2) lgdogf] A026585 3.41855 [{(n+4)*a(n+4)+(-2*n-6)*a(n+3)+(-10-3*n)*a(n+2)+(6+4*n)*a(n+1),a(0)=1,a(1)=0,a(2)=2,a(3)=2} ogf] A026596 4.2403 [16*f(x)^2*x^4+8*f(x)^2*x^3-7*f(x)^2*x^2+4*f(x)*x^3-2*f(x)^2*x+5*f(x)*x^2-x^3+f(x)^2+x^2-f(x)+x ogf] A026597 14.6617 [-(x+1)/(4*x^2+x-1) ogf] A026597 16.5756 [1/2/(1+4*x)*(-1-x+(17*x^2+1+6*x)^(1/2)) revogf] A026597 18.4699 [-2*(1+4*x+2*x^2)/(x+1)/(-1+x+4*x^2) lgdogf] A026597 7.67182 [(13*f(x)-9)*(4*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A026597 8.04605 [{-a(n+2)+a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A026599 12.8258 [(x+1)/(x-1)/(4*x^2+x-1) ogf] A026599 14.4878 [-(-3-6*x+8*x^3+9*x^2)/(x-1)/(x+1)/(-1+x+4*x^2) lgdogf] A026599 6.06937 [{a(n+3)-2*a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A026599 6.59971 [(f(x)+8)*(4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A026616 12.2632 [-(-x+2+(1-4*x)^(1/2))/(x^2+3)*(3+2*x)/(4*x-1) lgdogf] A026616 3.68881 [{(-8*n^2+4*n)*a(n)+(-10*n^2-30*n-20)*a(n+1)+(3*n^2+9*n+6)*a(n+2),a(0)=1,a(1)=3} ogf] A026616 6.96776 [-4*f(x)^2*x+f(x)^2-8*f(x)*x-x^2+2*f(x)-3 ogf] A026617 4.06716 [-4*f(x)^2*x^3+f(x)^2*x^2-8*f(x)*x^3+6*f(x)*x^2-4*x^3-9*f(x)*x+4*x^2+2*f(x)-5*x-2 ogf] A026619 4.93989 [-4*f(x)^2*x^2+f(x)^2*x-4*f(x)*x^2-7*f(x)*x-x^2+2*f(x)-4*x-2 ogf] A026620 3.13849 [4*f(x)^2*x^4-f(x)^2*x^3+8*f(x)*x^4+2*f(x)*x^3+4*x^4-13*f(x)*x^2+3*x^3+11*f(x)*x-12*x^2-2*f(x)+7*x+2 ogf] A026621 4.93479 [2*f(x)^2*x^2+2*f(x)*x^3+x^4-f(x)^2*x+3*f(x)*x^2+2*x^3+2*f(x)*x+x^2-2*f(x)+x+2 ogf] A026622 12.5530 [(x^3+x^2-x+1)/(2*x-1)/(x-1) ogf] A026622 13.5257 [2*(1-x+x^4-3*x^3+x^2)/(x-1)/(2*x-1)/(x^3+x^2-x+1) lgdogf] A026622 6.65857 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A026622 7.43432 [(17*f(x)-10)*(2*f(x)*x^2-x^3-3*f(x)*x-x^2+f(x)+x-1) ogf] A026624 13.1883 [-(-3+5*x+7*x^3-5*x^2)/(x-1)/(2*x-1)/(x^3+x^2-x+1) lgdogf] A026624 4.96115 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=20} ogf] A026624 5.4986 [(-1+53*f(x))*(2*f(x)*x^3-5*f(x)*x^2+x^3+4*f(x)*x+x^2-f(x)-x+1) ogf] A026624 9.56280 [-(x^3+x^2-x+1)/(2*x-1)/(x-1)^2 ogf] A026625 7.96806 [(1+2*x-6*x^5+x^4-2*x^3+x^8+2*x^7-6*x^6+x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^5+x^4+x^3-x^2+1) lgdogf] A026625 9.09716 [(x^5+x^4+x^3-x^2+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A026627 5.46854 [4*f(x)^2*x^2+7*f(x)^2*x+x^3-2*f(x)^2+8*f(x)*x-4*x^2-2*f(x)+3*x+4 ogf] A026628 4.26528 [4*f(x)^2*x^4+7*f(x)^2*x^3-2*f(x)^2*x^2+4*f(x)*x^3+3*f(x)*x^2+x^3+11*f(x)*x-4*x^2-3*f(x)+7*x+3 ogf] A026630 4.13983 [4*f(x)^2*x^3+7*f(x)^2*x^2+4*f(x)*x^3-2*f(x)^2*x+11*f(x)*x^2+x^3+9*f(x)*x+4*x^2-3*f(x)+5*x+3 ogf] A026633 10.6960 [2*(1+x-x^5-3*x^4+2*x^3+x^6-3*x^2)/(x-1)/(2*x-1)/(x+1)/(1+x^4) lgdogf] A026633 11.6876 [(x^4+1)/(x-1)/(2*x-1)/(x+1) ogf] A026633 4.56297 [{-a(n+5)+2*a(n+4)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=10,a(4)=22} ogf] A026633 6.0563 [(193*f(x)-32)*(2*f(x)*x^3-x^4-f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A026635 10.7801 [-(-3-x+3*x^5+5*x^4-4*x^3+8*x^2)/(x-1)/(2*x-1)/(x+1)/(1+x^4) lgdogf] A026635 12.1033 [-(x^4+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A026635 5.95996 [-(161*f(x)+62)*(2*f(x)*x^4-3*f(x)*x^3+x^4-f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A026636 5.37528 [(1+2*x-8*x^5+2*x^4-2*x^3-8*x^8-8*x^7+5*x^6+3*x^2+2*x^9+x^12+2*x^11-4*x^10)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^7+x^5-x^4+x^3+1) lgdogf] A026636 7.01927 [(x^7+x^5-x^4+x^3+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1) ogf] A026638 3.70005 [{(-24*n^2-36*n)*a(n)+(-46*n^2-78*n-20)*a(n+1)+(5*n^2-7*n-34)*a(n+2)+(2*n^2+10*n+12)*a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A026638 6.48272 [-4*f(x)^2*x^2-7*f(x)^2*x-8*f(x)*x^2+2*f(x)^2-6*f(x)*x-4*x^2+2*f(x)+x-4 ogf] A026639 3.64226 [-4*f(x)^2*x^4-7*f(x)^2*x^3-8*f(x)*x^4+2*f(x)^2*x^2-6*f(x)*x^3-4*x^4+2*f(x)*x^2+x^3-12*f(x)*x-4*x^2+3*f(x)-3*x-3 ogf] A026641 13.4234 [1/2*(-1-7*x+3*(1-2*x+9*x^2)^(1/2))*x/(-1+2*x)^2 revogf] A026641 15.0214 [1/2/(x+2)*(-8*x-7+3*(1-4*x)^(1/2))/(4*x-1) lgdogf] A026641 4.23537 [{(4*n+10)*a(n+1)+(7*n+17)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A026641 7.07445 [-4*f(x)^2*x^2-7*f(x)^2*x+2*f(x)^2+4*f(x)*x-f(x)-1 ogf] A026642 3.34223 [{(-4*n^2-34*n-72)*a(n+1)+(-7*n^2-59*n-126)*a(n+2)+(2*n^2+18*n+36)*a(n+3),a(0)=1,a(1)=7,a(2)=28} ogf] A026643 3.62739 [2*f(x)^2*x^4-f(x)^2*x^3+4*f(x)*x^4+4*f(x)^2*x^2+2*f(x)*x^3+2*x^4-2*f(x)^2*x+2*f(x)*x^2+3*x^3+4*f(x)*x-3*f(x)+x+3 ogf] A026644 11.6192 [(2*x^3-x^2+1)/(x-1)/(2*x-1)/(x+1) ogf] A026644 14.5345 [-2*(-1+4*x^3-x^2)/(x-1)/(2*x-1)/(x+1)/(2*x^3-x^2+1) lgdogf] A026644 5.67854 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A026644 6.3466 [-(5*f(x)+3)*(2*f(x)*x^3-f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A026646 10.6004 [-(2*x^2-x+3)*(2*x^3+x^2-1)/(x-1)/(2*x-1)/(x+1)/(2*x^3-x^2+1) lgdogf] A026646 4.64021 [-(107*f(x)-14)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+2*x^3+3*f(x)*x-x^2-f(x)+1) ogf] A026646 8.89903 [-(2*x^3-x^2+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A026647 7.84158 [-(-1-2*x+4*x^5-4*x^3+x^8+4*x^7+8*x^6+2*x^9)/(x-1)/(x+1)/(x^2+x-1)/(x^6+x^5+1)/(x^2+1) lgdogf] A026647 8.40579 [(x^6+x^5+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1) ogf] A026655 6.15455 [-(6*f(x)+1)*(2*f(x)*x^4+4*f(x)*x^2+2*x^3+x^2-f(x)+2*x+1) ogf] A026655 8.78643 [-2*(1+5*x+2*x^5+2*x^4+4*x^3+2*x^6+7*x^2)/(2*x+1)/(x^2+1)/(2*x^4+4*x^2-1) lgdogf] A026655 9.94197 [-(2*x+1)*(x^2+1)/(2*x^4+4*x^2-1) ogf] A026657 7.24960 [-(-3-10*x+12*x^5+10*x^4+12*x^3+8*x^7+2*x^6-x^2)/(x-1)/(2*x+1)/(x^2+1)/(2*x^4+4*x^2-1) lgdogf] A026657 7.40806 [(2*x+1)*(x^2+1)/(x-1)/(2*x^4+4*x^2-1) ogf] A026658 5.13460 [-(8*x^3+9*x^4+4*x+14*x^5+15*x^8+10*x^6+8*x^2+10*x^9-4*x^11+2*x^13-6*x^12-2*x^10+1)/(x^4-3*x^3+x^2-1)/(x^2+x+1)/(x^8-4*x^6-x^4-2*x^2+1) lgdogf] A026658 7.24093 [-(x^2+x+1)*(x^4-3*x^3+x^2-1)/(x^8-4*x^6-x^4-2*x^2+1) ogf] A026671 10.6994 [(2-7*x-4*x^2+(-(4*x-1)*(2*x-1)^2)^(1/2))/(4*x-1)/(x^2+4*x-1) lgdogf] A026671 17.8324 [(-2*x+(5*x^2+1+2*x)^(1/2))*x/(1+x)^2 revogf] A026671 3.24098 [{(-4*n-10)*a(n+1)+(-15*n-36)*a(n+2)+(8*n+26)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=3,a(2)=11,a(3)=43} ogf] A026671 9.6134 [f(x)^2*x^2+4*f(x)^2*x-f(x)^2+2*f(x)*x+1 ogf] A026672 4.97849 [-f(x)^2*x^4-4*f(x)^2*x^3+f(x)^2*x^2+2*f(x)*x^2-5*f(x)*x+f(x)-1 ogf] A026673 13.1952 [28+9*x+(-4+20*x+6*x^2)*f(x)+(4*x^2+x^3-x)*f(x)^2 lgdogf] A026674 7.69142 [-f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2*x-5*f(x)*x+f(x)-1 ogf] A026674 8.54359 [1/2*((1+5*x)^(1/2)*(1+x)^(1/2)+2*(1+5*x)^(1/2)*(1+x)^(1/2)*x-1-5*x-4*x^2)/x^2 revogf] A026675 8.43193 [-18+66*x+25*x^2+(3-28*x+20*x^3+59*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026704 5.04619 [-f(x)^2*x^3+6*f(x)^2*x^2-11*f(x)^2*x-2*f(x)*x^2+2*f(x)^2+6*f(x)*x-2*f(x)-x ogf] A026707 4.58973 [-f(x)^2*x^4+6*f(x)^2*x^3-11*f(x)^2*x^2+2*f(x)^2*x+2*f(x)*x^2-7*f(x)*x+f(x)-1 ogf] A026726 8.34216 [-f(x)^2*x^2-4*f(x)^2*x+f(x)^2+3*f(x)*x-f(x)-x ogf] A026727 3.40354 [(1705607354234681*f(x)+130117046450688)*(1056*f(x)*x^4-932*f(x)*x^3+252*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A026727 8.13986 [-3*(-9+168*x+1408*x^3-932*x^2)/(6*x-1)/(2*x-1)/(11*x-1)/(8*x-1) lgdogf] A026727 9.19551 [1/(6*x-1)/(2*x-1)/(11*x-1)/(8*x-1) ogf] A026730 16.2437 [-x^11+2*x^7-x^5+x^3-x^2+x+1 ogf_with_Euler_transform] A026730 5.76102 [x*(x^4-x^2+1)*(x^2-x+1)^2*(x^2+x+1)^3/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A026737 10.2227 [-1/2*(-1-5*x+4*x^2+((5*x^2-2*x+1)*(-1+2*x)^2)^(1/2))/(x+2)^2 revogf] A026737 5.35108 [-f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2*x-4*f(x)*x^2+5*f(x)*x-f(x)-4*x+1 ogf] A026738 4.96471 [(4092253*f(x)+285696)*(1152*f(x)*x^4-1008*f(x)*x^3+268*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A026738 8.27477 [-4*(-7+134*x+1152*x^3-756*x^2)/(12*x-1)/(6*x-1)/(2*x-1)/(8*x-1) lgdogf] A026738 9.18350 [1/(12*x-1)/(6*x-1)/(2*x-1)/(8*x-1) ogf] A026740 13.0661 [-4*x^2/(8*x-1)/(2*x-1)/(4*x-1) ogf] A026740 14.7877 [-2*(7-56*x+96*x^2)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A026740 5.55019 [{a(n+3)-14*a(n+2)+56*a(n+1)-64*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A026740 8.31638 [64*f(x)*x^3-56*f(x)*x^2+14*f(x)*x+4*x^2-f(x) ogf] A026741 15.5238 [x*(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A026741 22.2362 [-(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(1+x^2+x) lgdogf] A026741 37.7640 [-x^2+2*x+1 ogf_with_Euler_transform] A026741 8.23436 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A026741 9.37574 [-(f(x)-1)*(f(x)*x^4-2*f(x)*x^2-x^3-x^2+f(x)-x) ogf] A026743 3.84607 [2*f(x)^2*x^5-f(x)^2*x^4+8*f(x)^2*x^3+4*f(x)*x^4-4*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x^2+2*x^3+f(x)^2+x^2-f(x) ogf] A026748 10.3783 [1/2*(-5*x-5*x^2+((1+x)*(4*x^2+x+1)*(x+2)^2)^(1/2))*x/(x^2-x-1)^2 revogf] A026765 3.96459 [-10*f(x)^2*x^4+5*f(x)^2*x^3+2*f(x)^2*x^2-10*f(x)*x^3-f(x)^2*x+5*f(x)*x^2+2*f(x)*x-3*x^2-f(x)+x+1 ogf] A026770 8.77937 [1/2*(-x^3+5*x^2-5*x+((x^4-6*x^3+7*x^2-2*x+1)*(x-2)^2)^(1/2))*x/(x-1)^2 revogf] A026781 8.30165 [1/2*(-x^3-5*x^2-5*x+((x^4+6*x^3+7*x^2+2*x+1)*(x+2)^2)^(1/2))*x/(1+x)^2 revogf] A026795 3.61479 [(112526320808*f(x)+8395923375)*(1080*f(x)*x^4-948*f(x)*x^3+254*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A026795 8.01267 [-(-27+508*x+4320*x^3-2844*x^2)/(6*x-1)/(-1+9*x)/(2*x-1)/(10*x-1) lgdogf] A026795 9.19551 [1/(6*x-1)/(9*x-1)/(2*x-1)/(10*x-1) ogf] A026796 28.0387 [-x^2/(x-1) ogf_with_Euler_transform] A026797 25.0113 [-x^3/(x-1) ogf_with_Euler_transform] A026799 15.6736 [8*x^5/(8+(-8*O(1)+15)*x^58-8*x) ogf_with_Euler_transform] A026802 31.6988 [-x^8/(x-1) ogf_with_Euler_transform] A026803 31.9734 [-x^9/(x-1) ogf_with_Euler_transform] A026806 11.1889 [-(-2-4*x+4*x^5-2*x^4-6*x^3+x^7+3*x^6-6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3-2*x-1) lgdogf] A026806 12.6585 [-(x^4+x^3-2*x-1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A026809 5.06103 [{a(n+3)-39*a(n+2)+351*a(n+1)-729*a(n),a(0)=0,a(1)=1,a(2)=84} ogf] A026809 5.19422 [(84*f(x)+1)*(729*f(x)*x^3-351*f(x)*x^2+39*f(x)*x+45*x^2-f(x)+x) ogf] A026809 8.58296 [-6*(14-117*x+10935*x^3-2268*x^2)/(-1+3*x)/(-1+9*x)/(27*x-1)/(45*x+1) lgdogf] A026809 9.39906 [-x*(45*x+1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A026810 12.4274 [x^4/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A026810 13.2292 [-(2*x^2+x+1)*(5*x^3+3*x^2+3*x+1)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A026810 24.7484 [x^3+x^2+x+1 ogf_with_Euler_transform] A026811 20.2321 [x^4+x^3+x^2+x+1 ogf_with_Euler_transform] A026811 7.64447 [-x^5/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A026811 8.05070 [-(3*x^4+2*x^3+3*x^2+x+1)*(5*x^5+7*x^4+7*x^3+6*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A026812 6.33717 [x^6/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A026817 14.7798 [-(5*x+6)/(x-1)^3 ogf] A026817 32.0079 [-(23+10*x)/(5*x+6)/(x-1) lgdogf] A026817 6.87129 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=23,a(2)=51} ogf] A026817 6.9321 [(111683*f(x)-855948)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+5*x+6) ogf] A026823 3.44477 [-(-x^5+x^3+x^2)/(x^2-1) ogf_with_Euler_transform] A026824 15.7296 [-(-x^7+x^4+x^3)/(x^2-1) ogf_with_Euler_transform] A026825 15.8222 [-(x^9-x^5-x^4)/(-x^2+1) ogf_with_Euler_transform] A026826 14.8698 [-(-x^11+x^6+x^5)/(x^2-1) ogf_with_Euler_transform] A026831 14.5422 [-(x^21-x^11-x^10)/(-x^2+1) ogf_with_Euler_transform] A026834 5.25046 [(1+x^9+5*x-8*x^5+2*x^4+11*x^3+x^8-2*x^7-8*x^6+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5-x^2-x-1) lgdogf] A026834 6.16226 [-(x^6+x^5-x^2-x-1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A026841 8.06882 [-88+331*x+100*x^2+(8-68*x+40*x^3+134*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026842 8.66385 [-54+201*x+64*x^2+(6-52*x+32*x^3+104*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026843 8.61215 [-40+148*x+49*x^2+(5-44*x+28*x^3+89*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026844 8.74637 [-70+262*x+81*x^2+(7-60*x+36*x^3+119*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026846 8.66385 [-54+201*x+64*x^2+(6-52*x+32*x^3+104*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026848 8.06882 [-88+331*x+100*x^2+(8-68*x+40*x^3+134*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026849 8.66385 [-54+201*x+64*x^2+(6-52*x+32*x^3+104*x^2)*f(x)+(-8*x^2+4*x^4+15*x^3+x)*f(x)^2 lgdogf] A026854 5.4404 [-f(x)^2*x^4-4*f(x)^2*x^3+f(x)^2*x^2-12*f(x)*x^2+7*f(x)*x-f(x)-4*x+1 ogf] A026915 12.5242 [-2*(-13-9*x+x^3+45*x^2)/(x-1)/(2*x-1)/(x^2+22*x+1) lgdogf] A026915 12.5625 [-(x^2+22*x+1)/(2*x-1)/(x-1)^2 ogf] A026915 6.54516 [(7347*f(x)-68591)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)+22*x+1) ogf] A026915 6.77283 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=26,a(2)=100} ogf] A026917 10.7754 [(x^2+22*x+1)/(2*x-1)/(x-1)^3 ogf] A026917 12.4228 [-(-27-38*x+4*x^3+133*x^2)/(x-1)/(2*x-1)/(x^2+22*x+1) lgdogf] A026917 5.42643 [(70486*f(x)+701487)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-x^2+f(x)-22*x-1) ogf] A026918 5.94384 [-(-13-56*x+126*x^5+138*x^4+24*x^3+2*x^7+37*x^6-54*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^4+12*x^3+25*x^2+12*x+1) lgdogf] A026918 6.01751 [-(x^4+12*x^3+25*x^2+12*x+1)/(x^2+x-1)/(x+1)^2/(x-1)^2 ogf] A026922 14.1693 [x*(x^2-x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A026922 16.2891 [-x*(2+3*x^4-3*x^3+5*x^2+x)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A026922 24.8227 [-x^5+x^3+x^2+x ogf_with_Euler_transform] A026923 5.34311 [-x*(2+21*x^4-x^3+11*x^2-7*x^7+26*x^6-6*x^5+x+17*x^8+x^9+7*x^10)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-x+1) lgdogf] A026923 5.66803 [-x^2*(x^4+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A026924 4.40557 [x^3*(x^6-2*x^5+2*x^4-x^3+2*x^2-2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A026927 5.16153 [-x^3*(x^4-x^3+x^2+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A026928 13.3201 [-x^9+x^7+x^5+x^4+x+1 ogf_with_Euler_transform] A026928 4.52349 [x^4*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A026933 24.1904 [-2*(-1-4*x+x^2)/(x+1)/(x^2-6*x+1) lgdogf] A026933 4.05579 [{(-n-4)*a(n+4)+(17+5*n)*a(n+3)+(18+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=2,a(2)=11,a(3)=52} ogf] A026933 8.11157 [f(x)^2*x^4-4*f(x)^2*x^3-10*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A026937 10.7520 [-(x-1)/(x^2+2*x-1)^2 ogf] A026937 19.4754 [-(-3-2*x+3*x^2)/(x-1)/(x^2+2*x-1) lgdogf] A026937 3.43388 [{(n+4)*a(n+4)+(-12-3*n)*a(n+3)+n*a(n+2)+(n+4)*a(n+1),a(0)=1,a(1)=3,a(2)=10,a(3)=30} ogf] A026937 5.20533 [(1096*f(x)+197)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A026945 18.0826 [-x*(x-1)*(-1+2*x)^2/(1-3*x+3*x^2) revogf] A026950 11.3521 [-(5*x^3-3*x-1)/(5*x^2-1)^2 ogf] A026950 13.3968 [-(-3-20*x+25*x^4-30*x^2)/(5*x^2-1)/(-1+5*x^3-3*x) lgdogf] A026950 5.67603 [{(-5*n-25)*a(n+1)+(n+3)*a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A026950 7.05024 [(6*f(x)-1)*(25*f(x)*x^4-10*f(x)*x^2+5*x^3+f(x)-3*x-1) ogf] A026955 10.9567 [(-3-16*x+25*x^4-30*x^2)/(5*x^2-1)/(5*x^4-5*x^3-2*x^2+3*x+1) lgdogf] A026955 5.78751 [(120*f(x)-79)*(25*f(x)*x^4-5*x^4-10*f(x)*x^2+5*x^3+2*x^2+f(x)-3*x-1) ogf] A026955 8.79701 [(5*x^4-5*x^3-2*x^2+3*x+1)/(5*x^2-1)^2 ogf] A026960 7.12936 [(3-7*x-27*x^5+45*x^4-27*x^3+6*x^6+9*x^2)/(x-1)/(2*x-1)/(3*x^5-4*x^4-3*x^3+5*x^2-3*x+1) lgdogf] A026960 8.06084 [(3*x^5-4*x^4-3*x^3+5*x^2-3*x+1)/(2*x-1)^2/(x-1)^2 ogf] A026965 5.62193 [(3+2*x+24*x^5-38*x^4+24*x^3-9*x^8-16*x^7+30*x^6-18*x^2+6*x^9)/(x-1)/(2*x-1)/(x+1)/(3*x^7-2*x^6-5*x^5+3*x^4-x^3-x+1) lgdogf] A026965 5.64095 [(3*x^7-2*x^6-5*x^5+3*x^4-x^3-x+1)/(x-1)^2/(2*x-1)^2/(x+1)^2 ogf] A026970 5.61217 [(4*x^6-4*x^5-7*x^4+7*x^3-2*x^2-x+1)/(x-1)^2/(2*x-1)^2/(x+1)^2 ogf] A026970 7.22645 [(3-2*x+6*x^5+31*x^4-36*x^3+6*x^2)/(x-1)/(2*x-1)/(x+1)/(4*x^6-4*x^5-7*x^4+7*x^3-2*x^2-x+1) lgdogf] A026975 5.28069 [-(-3-20*x-24*x^5+4*x^4-24*x^3+36*x^8+16*x^7-36*x^6-39*x^2+4*x^10)/(2*x^4+4*x^2-1)/(2*x^7+10*x^5+2*x^4-x^3-2*x^2-3*x-1) lgdogf] A026975 5.89306 [-(2*x^7+10*x^5+2*x^4-x^3-2*x^2-3*x-1)/(2*x^4+4*x^2-1)^2 ogf] A027000 10.5100 [-(-13+9*x+6*x^4-33*x^3+43*x^2)/(x-1)/(x^2-3*x+1)/(3*x^2-8*x-1) lgdogf] A027000 4.64791 [(10957425*f(x)+15689644)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x+3*x^2+f(x)-8*x-1) ogf] A027000 9.63264 [-(3*x^2-8*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A027001 5.93489 [-(-26-62*x+21*x^5-79*x^4-31*x^3+273*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(7*x^2-18*x-1) lgdogf] A027001 7.41384 [-(x+1)*(7*x^2-18*x-1)/(x^2-3*x+1)/(x-1)^4 ogf] A027002 5.87124 [-(11*x^4+6*x^3-78*x^2-34*x-1)/(x^2-3*x+1)/(x-1)^6 ogf] A027004 12.8620 [(2*x^2-4*x-1)/(x-1)/(x^2-3*x+1) ogf] A027004 6.48413 [-(2615*f(x)-3903)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+4*x+1) ogf] A027004 6.94319 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=26} ogf] A027004 9.44205 [-(-8+12*x+2*x^4-8*x^3+5*x^2)/(x-1)/(x^2-3*x+1)/(2*x^2-4*x-1) lgdogf] A027005 6.30344 [-(-19-12*x+4*x^5-4*x^4-64*x^3+131*x^2)/(x-1)/(x^2-3*x+1)/(2*x^3-13*x-1) lgdogf] A027005 9.39315 [(2*x^3-13*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A027006 6.54428 [(2*x^4+12*x^3-35*x^2-26*x-1)/(x^2-3*x+1)/(x-1)^5 ogf] A027007 3.00333 [(2*x^5+32*x^4-35*x^3-147*x^2-43*x-1)/(x^2-3*x+1)/(x-1)^7 ogf] A027009 6.24643 [-(-1-14*x+4*x^5-4*x^4-4*x^3+4*x^8+4*x^7-13*x^6+32*x^2)/(2*x-1)/(x^2+x-1)/(x^2-x-1)/(2*x^4+x^3-4*x^2+x-1) lgdogf] A027009 7.13155 [(2*x^4+x^3-4*x^2+x-1)/(2*x-1)/(x^2+x-1)/(x^2-x-1) ogf] A027010 8.23936 [-(1+2*x+4*x^5+2*x^4-12*x^3+4*x^7-7*x^6+4*x^2)/(x-1)/(2*x^3-x^2+1)/(x^4-x^3-2*x^2+1) lgdogf] A027010 8.62243 [-(2*x^3-x^2+1)/(x-1)/(x^4-x^3-2*x^2+1) ogf] A027012 7.24432 [(x^5-6*x^4+18*x^3-24*x^2-1)/(x^2-3*x+1)/(x-1)^3 ogf] A027012 8.55349 [-(-6-34*x+10*x^5-43*x^4+12*x^3+97*x^2)/(x-1)/(x^2-3*x+1)/(x^5-6*x^4+18*x^3-24*x^2-1) lgdogf] A027013 5.37468 [(x^7-8*x^6+26*x^5-36*x^4+39*x^3-69*x^2-1)/(x^2-3*x+1)/(x-1)^5 ogf] A027014 4.04109 [(x^9-10*x^8+43*x^7-105*x^6+174*x^5-134*x^4-14*x^3-146*x^2-1)/(x^2-3*x+1)/(x-1)^7 ogf] A027016 4.68591 [-(16737720*f(x)+39049663)*(f(x)*x^4-5*f(x)*x^3-x^4+8*f(x)*x^2+7*x^3-5*f(x)*x-11*x^2+f(x)-1) ogf] A027016 8.54151 [(-5-11*x+2*x^5-4*x^4-20*x^3+50*x^2)/(x-1)/(x^4-7*x^3+11*x^2+1)/(x^2-3*x+1) lgdogf] A027016 9.14323 [(x^4-7*x^3+11*x^2+1)/(x^2-3*x+1)/(x-1)^2 ogf] A027017 6.39781 [(x^6-7*x^5+17*x^4-31*x^3+43*x^2+1)/(x^2-3*x+1)/(x-1)^4 ogf] A027018 4.92892 [(x^8-9*x^7+34*x^6-73*x^5+69*x^4-30*x^3+103*x^2+1)/(x^2-3*x+1)/(x-1)^6 ogf] A027021 5.99848 [-(4*x^6-10*x^4+x^3+x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A027022 5.84777 [-(-3-8*x+6*x^5+22*x^4+10*x^3+8*x^8-10*x^7-22*x^6-3*x^2+2*x^9)/(x-1)/(x+1)/(x^4-x^3-2*x^2+1)/(x^4+3*x^3-x^2-3*x-1) lgdogf] A027022 8.06230 [(x^4+3*x^3-x^2-3*x-1)/(x-1)/(x+1)/(x^4-x^3-2*x^2+1) ogf] A027024 10.9212 [(x+1)^3/(x-1)/(x^3+x^2+x-1) ogf] A027024 14.4991 [-(-5+4*x+x^4+4*x^3)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A027024 6.40571 [(241*f(x)-22)*(f(x)*x^4-x^3-2*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A027025 8.56926 [-(x+1)*(3*x^6-3*x^4-16*x^3-11*x^2+11)/(x-1)/(3*x^4-2*x^2-8*x-1)/(x^3+x^2+x-1) lgdogf] A027025 8.74595 [(3*x^4-2*x^2-8*x-1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A027026 5.92284 [-(-25-20*x-28*x^5+28*x^4+52*x^3+5*x^8-4*x^7-10*x^6+50*x^2)/(x-1)/(x^3+x^2+x-1)/(5*x^5-7*x^4-2*x^3-10*x^2+21*x+1) lgdogf] A027026 6.09754 [(5*x^5-7*x^4-2*x^3-10*x^2+21*x+1)/(x^3+x^2+x-1)/(x-1)^3 ogf] A027053 12.9475 [(x+1)^2/(x-1)/(x^3+x^2+x-1) ogf] A027053 14.9412 [-2*(-2+x+x^4+2*x^3)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A027053 7.22332 [(19*f(x)+10)*(f(x)*x^4-2*f(x)*x-x^2+f(x)-2*x-1) ogf] A027054 7.72273 [(2*x^4+x^3-x^2-5*x-1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A027054 8.03533 [-2*(x+1)*(x^6+x^5-x^4-4*x^3-4*x^2-x+4)/(x-1)/(x^3+x^2+x-1)/(2*x^4+x^3-x^2-5*x-1) lgdogf] A027055 6.03053 [(4*x^5-5*x^4-2*x^3-8*x^2+14*x+1)/(x^3+x^2+x-1)/(x-1)^3 ogf] A027055 6.07373 [-2*(-9-5*x-11*x^5+5*x^4+17*x^3+2*x^8-x^7-4*x^6+18*x^2)/(x-1)/(x^3+x^2+x-1)/(4*x^5-5*x^4-2*x^3-8*x^2+14*x+1) lgdogf] A027083 10.3565 [-(-3-2*x+2*x^5+3*x^4+4*x^3+2*x^2)/(x-1)/(x^2+x+1)/(x^3+x^2+x-1) lgdogf] A027083 12.5697 [2*(x^2+x+1)/(x-1)/(x^3+x^2+x-1) ogf] A027083 6.79789 [-(34*f(x)-9)*(f(x)*x^4-2*f(x)*x-2*x^2+f(x)-2*x-2) ogf] A027084 10.5072 [-(-3-2*x+2*x^5+3*x^4+4*x^3+2*x^2)/(x-1)/(x^2+x+1)/(x^3+x^2+x-1) lgdogf] A027084 12.7513 [(x^2+x+1)/(x-1)/(x^3+x^2+x-1) ogf] A027084 6.89611 [-(68*f(x)-9)*(f(x)*x^4-2*f(x)*x-x^2+f(x)-x-1) ogf] A027085 8.74595 [(x^3-x^2-x-5)/(x^3+x^2+x-1)/(x-1)^2 ogf] A027085 9.56279 [-2*(8-x-x^5-2*x^4-12*x^3+x^6-5*x^2)/(x-1)/(x^3-x^2-x-5)/(x^3+x^2+x-1) lgdogf] A027086 6.62932 [-(-41+30*x-6*x^5-15*x^4+44*x^3+4*x^7-5*x^6+25*x^2)/(x-1)/(x^3+x^2+x-1)/(2*x^4-3*x^3-x^2-3*x+11) lgdogf] A027086 7.60865 [(2*x^4-3*x^3-x^2-3*x+11)/(x^3+x^2+x-1)/(x-1)^3 ogf] A027087 4.37534 [-f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3-3*f(x)^2*x-f(x)*x^2-x^3+f(x)^2+f(x)*x+f(x)-x-2 ogf] A027107 11.7216 [-(x^2-2*x-1)/(3*x-1)/(x-1) ogf] A027107 14.8383 [2*(-3+4*x+x^2)/(x-1)/(-1+3*x)/(x^2-2*x-1) lgdogf] A027107 6.03150 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=1,a(1)=6,a(2)=20} ogf] A027107 6.68003 [(4*f(x)+5)*(3*f(x)*x^2-4*f(x)*x+x^2+f(x)-2*x-1) ogf] A027114 12.7641 [(2*x^2+3*x+3)/(x-1)/(x^3+x^2+x-1) ogf] A027114 6.63231 [-(2302*f(x)-537)*(f(x)*x^4-2*f(x)*x-2*x^2+f(x)-3*x-3) ogf] A027114 9.74647 [-(-9-4*x+4*x^5+9*x^4+12*x^3+4*x^2)/(x-1)/(2*x^2+3*x+3)/(x^3+x^2+x-1) lgdogf] A027116 8.22146 [-(23-3*x-x^5-7*x^4-32*x^3+4*x^6-16*x^2)/(x-1)/(x^3+x^2+x-1)/(2*x^3-x^2-2*x-7) lgdogf] A027116 8.39639 [(2*x^3-x^2-2*x-7)/(x^3+x^2+x-1)/(x-1)^2 ogf] A027117 6.43572 [(3*x^4-5*x^3-x^2-5*x+16)/(x^3+x^2+x-1)/(x-1)^3 ogf] A027117 6.76963 [-(-59+44*x-8*x^5-25*x^4+62*x^3+6*x^7-9*x^6+37*x^2)/(x-1)/(x^3+x^2+x-1)/(3*x^4-5*x^3-x^2-5*x+16) lgdogf] A027118 4.3976 [f(x)^2*x^3+f(x)^2*x^2+f(x)*x^3+3*f(x)^2*x+x^3-f(x)^2+f(x)*x+x^2-2*f(x)+4*x+3 ogf] A027138 10.6995 [-(x^3-2*x^2+2*x+1)/(3*x-1)/(x-1)^2 ogf] A027138 11.6608 [-(-7+11*x+x^3+3*x^2)/(x-1)/(-1+3*x)/(x^3-2*x^2+2*x+1) lgdogf] A027138 5.50946 [{a(n+4)-5*a(n+3)+7*a(n+2)-3*a(n+1),a(0)=1,a(1)=7,a(2)=26,a(3)=85} ogf] A027138 5.85927 [(-4117+14404*f(x))*(3*f(x)*x^3-7*f(x)*x^2+x^3+5*f(x)*x-2*x^2-f(x)+2*x+1) ogf] A027151 11.8257 [-(3*x+1)*(x^2+1)/(3*x^4+6*x^2-1) ogf] A027151 7.32067 [-(4*f(x)+1)*(3*f(x)*x^4+6*f(x)*x^2+3*x^3+x^2-f(x)+3*x+1) ogf] A027151 8.94673 [-(3+14*x+6*x^5+9*x^4+12*x^3+9*x^6+27*x^2)/(3*x+1)/(x^2+1)/(3*x^4+6*x^2-1) lgdogf] A027153 7.48349 [(3*x+1)*(x^2+1)/(x-1)/(3*x^4+6*x^2-1) ogf] A027153 7.69029 [-2*(-2-7*x+15*x^5+6*x^4+15*x^3+9*x^7-4*x^2)/(x-1)/(3*x+1)/(x^2+1)/(3*x^4+6*x^2-1) lgdogf] A027154 6.06941 [-(1+6*x+30*x^5+13*x^4+12*x^3+30*x^8+16*x^7+17*x^6+11*x^2+8*x^10)/(x^2+1)/(2*x^3+x+1)/(4*x^6+3*x^4+2*x^2-1) lgdogf] A027154 8.11536 [-(x^2+1)*(2*x^3+x+1)/(4*x^6+3*x^4+2*x^2-1) ogf] A027164 8.17539 [(x+1)^2/(x-1)/(3*x^4+6*x^2-1) ogf] A027164 9.78289 [-(-3-11*x+9*x^5+9*x^4-6*x^3+18*x^2)/(x-1)/(x+1)/(3*x^4+6*x^2-1) lgdogf] A027166 11.1596 [-4*(-1-3*x+3*x^5+3*x^4+6*x^2)/(x-1)/(x+1)/(3*x^4+6*x^2-1) lgdogf] A027166 8.73149 [-(x+1)^2/(3*x^4+6*x^2-1)/(x-1)^2 ogf] A027167 6.23434 [-(-2-2*x-32*x^5+24*x^4-13*x^3-4*x^8-5*x^7+35*x^6+3*x^2+12*x^9)/(x-1)/(x+1)/(x^2-x+1)/(4*x^6+3*x^4+2*x^2-1) lgdogf] A027167 6.68145 [(x^2-x+1)*(x+1)^2/(x-1)/(4*x^6+3*x^4+2*x^2-1) ogf] A027171 3.53423 [4*f(x)^2*x^4-9*f(x)^2*x^3+6*f(x)^2*x^2-16*f(x)*x^3-f(x)^2*x+4*f(x)*x^2+x^3+16*f(x)*x+18*x^2-4*f(x)+25*x+4 ogf] A027178 10.7643 [-(x+1)^2/(2*x-1)/(x-1)^2 ogf] A027178 18.3758 [-2*(-3+4*x+x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A027178 5.70976 [(247*f(x)-291)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)+2*x+1) ogf] A027178 5.81083 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=20} ogf] A027180 11.1978 [(x+1)^2/(2*x-1)/(x-1)^3 ogf] A027180 17.8035 [-(-7+9*x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A027180 3.88265 [{(n+4)*a(n+4)+(-13-2*n)*a(n+3)+(7-n)*a(n+2)+(6+2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=27,a(3)=79} ogf] A027180 5.72331 [(5018*f(x)+6531)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-x^2+f(x)-2*x-1) ogf] A027181 11.9634 [-(x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A027181 16.2402 [-(-3-x+2*x^4+x^3+5*x^2)/(x-1)/(x^2+1)/(x^2+x-1) lgdogf] A027181 4.29627 [{(-n-4)*a(n+1)-a(n+2)+(2*n+7)*a(n+3)+(-n-3)*a(n+4),a(0)=1,a(1)=3,a(2)=8,a(3)=17} ogf] A027181 6.07518 [(65*f(x)-196)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)+1) ogf] A027261 11.3662 [6*(-1+3*x+9*x^3-9*x^2)/(-1+3*x)/(18*x^3-9*x^2+1) lgdogf] A027261 4.81135 [{-a(n+4)+6*a(n+3)-9*a(n+2),a(0)=1,a(1)=6,a(2)=18,a(3)=72} ogf] A027261 8.18755 [(15*f(x)+17)*(9*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A027261 9.62271 [(18*x^3-9*x^2+1)/(3*x-1)^2 ogf] A027266 10.8235 [(6*x^2+6*x+1)/(6*x^2-1)^2 ogf] A027266 13.0324 [-6*(1+6*x+12*x^3+18*x^2)/(6*x^2-1)/(1+6*x^2+6*x) lgdogf] A027266 5.41176 [{(6*n+24)*a(n+1)+(-n-2)*a(n+3),a(0)=1,a(1)=6,a(2)=18} ogf] A027266 6.32264 [-(14*f(x)-11)*(36*f(x)*x^4-12*f(x)*x^2-6*x^2+f(x)-6*x-1) ogf] A027271 10.7683 [(6*x^2+4*x+1)/(6*x^2-1)^2 ogf] A027271 12.9645 [-4*(1+9*x+18*x^3+18*x^2)/(6*x^2-1)/(1+6*x^2+4*x) lgdogf] A027271 5.38415 [{(6*n+24)*a(n+1)+(-n-2)*a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A027271 6.68767 [(6*f(x)+1)*(36*f(x)*x^4-12*f(x)*x^2-6*x^2+f(x)-4*x-1) ogf] A027276 11.4922 [6*(1+9*x+18*x^3+18*x^2)/(6*x^2-1)/(18*x^4-15*x^2-6*x-1) lgdogf] A027276 5.86458 [{(-6*n-18)*a(n)+(n+1)*a(n+2),a(0)=1,a(1)=6,a(2)=27} ogf] A027276 6.14384 [(4*f(x)+3)*(36*f(x)*x^4+18*x^4-12*f(x)*x^2-15*x^2+f(x)-6*x-1) ogf] A027276 9.34933 [-(18*x^4-15*x^2-6*x-1)/(6*x^2-1)^2 ogf] A027281 12.6491 [-2*(3+12*x+8*x^3+24*x^2)/(1+2*x^2+4*x)/(-1+x+4*x^2) lgdogf] A027281 3.71828 [{(4*n^2+28*n+48)*a(n+1)+(n^2+6*n+8)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=6,a(2)=21} ogf] A027281 4.53887 [-(1038955*f(x)-489338)*(16*f(x)*x^4+8*f(x)*x^3-7*f(x)*x^2-2*f(x)*x-2*x^2+f(x)-4*x-1) ogf] A027281 9.40194 [(2*x^2+4*x+1)/(4*x^2+x-1)^2 ogf] A027286 13.0324 [-4*(1+6*x+6*x^3+6*x^2)/(-1+x+4*x^2)/(1+3*x^2+2*x) lgdogf] A027286 3.68147 [{(-4*n^2-28*n-48)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A027286 4.55678 [-(158083*f(x)+50653)*(16*f(x)*x^4+8*f(x)*x^3-7*f(x)*x^2-2*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A027286 9.30886 [(3*x^2+2*x+1)/(4*x^2+x-1)^2 ogf] A027306 3.62013 [{(8*n+16)*a(n+1)+(-4*n-12)*a(n+2)+(-2*n-6)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=4} ogf] A027306 6.576 [-8*f(x)^2*x^3+4*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x^2-f(x)^2+f(x)-x ogf] A027307 10.0027 [-1+f(x)-f(x)^2*x-x*f(x)^3 ogf] A027307 19.2725 [1/2*(-x+1+(1-6*x+x^2)^(1/2))*x revogf] A027313 13.9485 [-(9*x^2+3*x+1)/(3*x-1) ogf] A027313 15.7643 [3*(-2-6*x+9*x^2)/(-1+3*x)/(9*x^2+3*x+1) lgdogf] A027313 7.38449 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=6,a(2)=27} ogf] A027313 7.94533 [-(f(x)-1)*(3*f(x)*x+9*x^2-f(x)+3*x+1) ogf] A027319 8.60473 [(3-11*x+972*x^5-972*x^4+291*x^3-3*x^2)/(-1+3*x)/(108*x^5-72*x^4+x^3+x^2+3*x-1) lgdogf] A027319 9.26955 [-(108*x^5-72*x^4+x^3+x^2+3*x-1)/(3*x-1)^2 ogf] A027327 14.6812 [-(3*x^2+1)/(3*x-1) ogf] A027327 17.3251 [3*(3*x+1)*(x-1)/(-1+3*x)/(3*x^2+1) lgdogf] A027327 7.08154 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=12} ogf] A027327 8.02573 [-(f(x)-1)*(3*f(x)*x+3*x^2-f(x)+1) ogf] A027334 14.9953 [-(9*x^2+1)/(3*x-1) ogf] A027334 17.1980 [3*(-6*x-1+9*x^2)/(-1+3*x)/(9*x^2+1) lgdogf] A027334 7.23301 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=18} ogf] A027334 8.1974 [-(f(x)-1)*(3*f(x)*x+9*x^2-f(x)+1) ogf] A027336 18.2483 [-(x^2-x+1)/(x-1) ogf_with_Euler_transform] A027337 17.1558 [-(-x^3+x^2-1)/(-x+1) ogf_with_Euler_transform] A027338 16.2649 [-(x^4-x^3+1)/(x-1) ogf_with_Euler_transform] A027339 16.0178 [-(-x^5+x^4-1)/(-x+1) ogf_with_Euler_transform] A027340 16.0959 [-(x^6-x^5+1)/(x-1) ogf_with_Euler_transform] A027341 16.1740 [-(-x^7+x^6-1)/(-x+1) ogf_with_Euler_transform] A027342 16.1740 [-(x^8-x^7+1)/(x-1) ogf_with_Euler_transform] A027343 15.1368 [-(-x^9+x^8-1)/(-x+1) ogf_with_Euler_transform] A027344 14.8340 [-(x^10-x^9+1)/(x-1) ogf_with_Euler_transform] A027346 10.4657 [-(3*x^2+3*x+3)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A027349 14.0394 [-(x^5-x^4-x^2)/(-x^4+1) ogf_with_Euler_transform] A027350 13.2802 [-(x^9-x^6-x^4)/(-x^4+1) ogf_with_Euler_transform] A027351 12.6547 [-(x^13-x^8-x^6)/(-x^4+1) ogf_with_Euler_transform] A027352 12.1840 [-(-x^17+x^10+x^8)/(x^4-1) ogf_with_Euler_transform] A027353 11.3606 [-(x^21-x^12-x^10)/(-x^4+1) ogf_with_Euler_transform] A027378 17.1486 [-(-4-2*x+x^3+x^2)/(x-1)/(x^3-x^2-1) lgdogf] A027378 4.45473 [(298*f(x)+5895)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x)-1) ogf] A027378 8.42127 [-(x^3-x^2-1)/(x-1)^4 ogf] A027379 19.1487 [-(-3-2*x+2*x^2)/(x-1)/(x^3-x^2-1) lgdogf] A027379 4.86565 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=12} ogf] A027379 5.57873 [(3*f(x)-29)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+x^2-f(x)+1) ogf] A027379 9.95588 [(x^3-x^2-1)/(x-1)^3 ogf] A027382 11.3120 [-2*(2-3*x+12*x^4+49*x^3)/(x-1)/(24*x^4+x^3-x^2-x+1) lgdogf] A027382 6.15256 [-(24*x^4+x^3-x^2-x+1)/(x-1)^5 ogf] A027383 14.5039 [(x+1)/(x-1)/(2*x^2-1) ogf] A027383 16.7523 [-2*(-1-2*x+2*x^3+2*x^2)/(x-1)/(x+1)/(2*x^2-1) lgdogf] A027383 6.86347 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A027383 7.83876 [-(f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-x-1) ogf] A027390 18.8038 [9+9*x+3*x^2+(-6-3*x-x^2)*f(x)+f(x)^2 lgdegf] A027390 3.96151 [{(n^2+5*n+6)*a(n+1)+(3*n+9)*a(n+2)-a(n+4)+3*a(n+3),a(0)=1,a(1)=3,a(2)=12,a(3)=56} ogf] A027391 28.3936 [(x+2)*(x^2+2*x+2) lgdegf] A027392 11.5615 [-a(n+5),a(0)=5,a(1)=10,a(2)=10,a(3)=5,a(4)=1 lgdegf] A027393 11.8725 [(n-4)*a(n+1)+(n+3)*a(n+2),a(0)=6,a(1)=15 lgdegf] A027394 12.6145 [(n-5)*a(n+1)+(n+3)*a(n+2),a(0)=7,a(1)=21 lgdegf] A027395 13.1542 [(n-6)*a(n+1)+(n+3)*a(n+2),a(0)=8,a(1)=28 lgdegf] A027396 11.8825 [(n-7)*a(n+1)+(n+3)*a(n+2),a(0)=9,a(1)=36 lgdegf] A027397 11.9286 [(n-8)*a(n+1)+(n+3)*a(n+2),a(0)=10,a(1)=45 lgdegf] A027398 11.7065 [(-n+9)*a(n+1)+(-n-3)*a(n+2),a(0)=11,a(1)=55 lgdegf] A027399 11.8739 [(-n+10)*a(n+1)+(-n-3)*a(n+2),a(0)=12,a(1)=66 lgdegf] A027400 12.0547 [(-n+11)*a(n+1)+(-n-3)*a(n+2),a(0)=13,a(1)=78 lgdegf] A027401 10.5378 [(-n+12)*a(n+1)+(-n-3)*a(n+2),a(0)=14,a(1)=91 lgdegf] A027402 10.4289 [(-n+13)*a(n+1)+(-n-3)*a(n+2),a(0)=15,a(1)=105 lgdegf] A027403 10.7170 [(-n+14)*a(n+1)+(-n-3)*a(n+2),a(0)=16,a(1)=120 lgdegf] A027404 10.7746 [(-n+15)*a(n+1)+(-n-3)*a(n+2),a(0)=17,a(1)=136 lgdegf] A027405 10.9474 [(-n+16)*a(n+1)+(-n-3)*a(n+2),a(0)=18,a(1)=153 lgdegf] A027406 9.43324 [(-n+17)*a(n+1)+(-n-3)*a(n+2),a(0)=19,a(1)=171 lgdegf] A027408 9.60169 [(-n+19)*a(n+1)+(-n-3)*a(n+2),a(0)=21,a(1)=210 lgdegf] A027409 9.82629 [(-n+20)*a(n+1)+(-n-3)*a(n+2),a(0)=22,a(1)=231 lgdegf] A027410 9.82629 [(-n+21)*a(n+1)+(-n-3)*a(n+2),a(0)=23,a(1)=253 lgdegf] A027411 9.88244 [(-n+22)*a(n+1)+(-n-3)*a(n+2),a(0)=24,a(1)=276 lgdegf] A027412 6.60328 [{-a(n)*n+a(n+2)-2*a(n+1),a(0)=1,a(1)=2} ogf] A027418 2.87056 [x*(x-2)/(x-1)/(x^2-3*x+1) ogf] A027439 15.4980 [-1/(3*x^3-5*x^2+4*x-1) ogf] A027439 15.5665 [-(4-10*x+9*x^2)/(-5*x^2-1+4*x+3*x^3) lgdogf] A027439 5.07457 [{a(n+3)-4*a(n+2)+5*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A027439 5.35911 [-(256*f(x)+459)*(3*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A027441 21.9266 [-3*(x+1)*(7*x+3)/(x-1)/(7*x^2+4*x+1) lgdogf] A027441 4.04177 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-27+3*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=42} ogf] A027441 9.64181 [-x*(7*x^2+4*x+1)/(x-1)^5 ogf] A027444 11.3866 [x*(x^2+2*x+3)/(x-1)^4 ogf] A027444 25.6232 [-2*(7+4*x+x^2)/(x-1)/(x^2+2*x+3) lgdogf] A027444 4.19811 [{(9+3*n)*a(n+4)+(-16-n)*a(n+3)+(-9-n)*a(n+2)+(-n-2)*a(n+1),a(0)=0,a(1)=3,a(2)=14,a(3)=39} ogf] A027444 5.8537 [(76248*f(x)+109055)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-3*x) ogf] A027445 26.0918 [-15*(x+1)^2/(x-1)/(5*x^2+5*x+2) lgdogf] A027445 4.45478 [{(6+2*n)*a(n+4)+(-9+3*n)*a(n+3)-30*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=4,a(2)=30,a(3)=120} ogf] A027445 9.64328 [-2*x*(5*x^2+5*x+2)/(x-1)^5 ogf] A027468 10.4417 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+9*x ogf] A027468 17.8670 [-9*x/(x-1)^3 ogf] A027468 7.17870 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=27} ogf] A027468 99.0661 [-3/(x-1) lgdogf] A027469 10.3099 [-f(x)*x^3+3*f(x)*x^2-3*f(x)*x+f(x)-49 ogf] A027469 19.1470 [-49/(x-1)^3 ogf] A027469 6.87330 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=147,a(2)=294} ogf] A027469 98.6775 [-3/(x-1) lgdogf] A027470 15.8563 [-225/(x-1)^3 ogf] A027470 5.72957 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=225,a(1)=675,a(2)=1350} ogf] A027470 6.19835 [-(28*f(x)-12375)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+225) ogf] A027470 83.4792 [-3/(x-1) lgdogf] A027471 10.6387 [-9*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A027471 19.0207 [x/(3*x-1)^2 ogf] A027471 25.7510 [4*x/(1+(1+12*x)^(1/2))^2 revogf] A027471 56.1841 [-6/(-1+3*x) lgdogf] A027471 7.74916 [{a(n+2)-6*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A027472 11.9829 [-1/(3*x-1)^3 ogf] A027472 4.06377 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=9,a(2)=54} ogf] A027472 41.3955 [-9/(-1+3*x) lgdogf] A027472 8.75894 [-(f(x)-1)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A027473 16.4047 [1/(7*x-1)^2 ogf] A027473 23.4328 [4*x/(1+(1+28*x)^(1/2))^2 revogf] A027473 46.8657 [-14/(-1+7*x) lgdogf] A027473 6.75489 [{-a(n+2)+14*a(n+1)-49*a(n),a(0)=1,a(1)=14} ogf] A027473 6.8353 [(5*f(x)+11)*(49*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A027474 14.5119 [-1/(7*x-1)^3 ogf] A027474 49.8101 [-21/(-1+7*x) lgdogf] A027474 5.07916 [{a(n+3)-21*a(n+2)+147*a(n+1)-343*a(n),a(0)=1,a(1)=21,a(2)=294} ogf] A027474 5.64351 [-(f(x)-1)*(343*f(x)*x^3-147*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A027475 14.0170 [1/(15*x-1)^2 ogf] A027475 20.5634 [4*x/(1+(1+60*x)^(1/2))^2 revogf] A027475 37.9632 [-30/(-1+15*x) lgdogf] A027475 5.86757 [{-a(n+2)+30*a(n+1)-225*a(n),a(0)=1,a(1)=30} ogf] A027475 5.9366 [(5*f(x)+11)*(225*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A027476 12.3799 [-1/(15*x-1)^3 ogf] A027476 4.36342 [{a(n+3)-45*a(n+2)+675*a(n+1)-3375*a(n),a(0)=1,a(1)=45,a(2)=1350} ogf] A027476 4.88383 [-(f(x)-1)*(3375*f(x)*x^3-675*f(x)*x^2+45*f(x)*x-f(x)+1) ogf] A027476 40.0959 [-45/(-1+15*x) lgdogf] A027480 14.1536 [3*x/(x-1)^4 ogf] A027480 6.09871 [-(14*f(x)+27)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-3*x) ogf] A027480 7.28292 [{(n+1)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=3} ogf] A027480 75.7019 [-4/(x-1) lgdogf] A027482 20.3433 [-3*(13+6*x+x^2)/(x-1)/(x^2+4*x+7) lgdogf] A027482 8.67489 [-(x^2+4*x+7)/(x-1)^5 ogf] A027484 31.7352 [[8-2*x] ogf_with_Euler_transform] A027484 32.9995 [-4*(x+2)/(x-1)/(x+1) lgdogf] A027484 4.84504 [{(-n-3)*a(n+3)+8*a(n+2)+(5+n)*a(n+1),a(0)=15,a(1)=120,a(2)=510} ogf] A027484 7.40066 [15*(x+1)^2/(x-1)^6 ogf] A027540 10.9122 [(5*x-3)/(2*x-1)^2/(x-1)^3 ogf] A027540 16.4985 [-2*(8-25*x+20*x^2)/(x-1)/(-3+5*x)/(2*x-1) lgdogf] A027540 3.79554 [{(3*n+12)*a(n+4)+(-58-14*n)*a(n+3)+(92+21*n)*a(n+2)+(-50-10*n)*a(n+1),a(0)=3,a(1)=16,a(2)=55,a(3)=156} ogf] A027556 14.1175 [-2*x^3/(2*x-1)/(x-1)/(2*x^2-1) ogf] A027556 15.0441 [-(3+16*x^3-18*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A027556 7.84306 [4*f(x)*x^4-6*f(x)*x^3+2*x^3+3*f(x)*x-f(x) ogf] A027557 10.5222 [-2*(x+1)*(2*x^4-4*x^3-2*x^2+x+1)/(2*x^2-1)/(x^2+x-1)/(x^2-x-1) lgdogf] A027557 5.01114 [-(2*f(x)-1)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A027557 9.65916 [-(x^2-x-1)/(2*x^2-1)/(x^2+x-1) ogf] A027558 10.2457 [-2*x^4/(2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A027558 11.1605 [-(3+2*x+20*x^4+8*x^3-24*x^2)/(2*x-1)/(x^2+x-1)/(2*x^2-1) lgdogf] A027558 5.34176 [-4*f(x)*x^5-2*f(x)*x^4+8*f(x)*x^3-2*x^4-f(x)*x^2-3*f(x)*x+f(x) ogf] A027559 4.59943 [-(f(x)-1)*(3*f(x)*x^4+3*f(x)*x^3-x^4-4*f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A027559 8.06254 [(x-1)*(x+1)*(x^2-x-1)/(3*x^2-1)/(x^2+x-1) ogf] A027559 8.39162 [2*(1+2*x+2*x^5-x^4-6*x^3+3*x^6-3*x^2)/(x-1)/(x+1)/(-1+3*x^2)/(x^2+x-1)/(x^2-x-1) lgdogf] A027560 6.29372 [-2*(1+2*x+12*x^5+9*x^4-10*x^3+6*x^8-2*x^7-11*x^6-5*x^2)/(x-1)/(x+1)/(-1+3*x^2)/(x^3-2*x^2-x+1)/(x^3+2*x^2-x-1) lgdogf] A027560 6.99302 [-(x-1)*(x+1)*(x^3+2*x^2-x-1)/(3*x^2-1)/(x^3-2*x^2-x+1) ogf] A027561 10.4531 [-2*x^5/(2*x-1)/(3*x^2-1)/(x^2+x-1) ogf] A027561 11.2338 [-(-3+5*x)*(6*x^3+6*x^2-3*x-1)/(2*x-1)/(-1+3*x^2)/(x^2+x-1) lgdogf] A027562 8.93282 [2*x^6/(2*x-1)/(3*x^2-1)/(x^3-2*x^2-x+1) ogf] A027562 9.03045 [-(-3-6*x+36*x^5-75*x^4-8*x^3+42*x^2)/(2*x-1)/(-1+3*x^2)/(x^3-2*x^2-x+1) lgdogf] A027575 11.8806 [-2*(3*x^2-6*x+7)/(x-1)^3 ogf] A027575 21.5716 [-3*(5-2*x+x^2)/(x-1)/(3*x^2-6*x+7) lgdogf] A027575 6.50851 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=30,a(2)=54} ogf] A027575 7.39634 [(13*f(x)+7)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-12*x+14) ogf] A027578 11.5050 [-5*(3*x^2-7*x+6)/(x-1)^3 ogf] A027578 20.6106 [-(11-8*x+3*x^2)/(x-1)/(3*x^2-7*x+6) lgdogf] A027578 6.40279 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=55,a(2)=90} ogf] A027578 7.07816 [(412*f(x)+3705)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)-35*x+30) ogf] A027599 11.9638 [-2*(8*x^2-8*x+3)/(x-1)^3 ogf] A027599 24.6164 [-(1+8*x^2)/(x-1)/(8*x^2-8*x+3) lgdogf] A027599 6.28099 [-(27*f(x)-130)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)-16*x+6) ogf] A027599 6.72963 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=2,a(2)=4} ogf] A027602 10.9711 [9*(x^2+1)/(x-1)^4 ogf] A027602 24.3971 [[-x^3+x+4] ogf_with_Euler_transform] A027602 26.8764 [-2*(2+x+x^2)/(x-1)/(1+x^2) lgdogf] A027602 3.71417 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+n*a(n+2)+(-n-3)*a(n+1),a(0)=9,a(1)=36,a(2)=99,a(3)=216} ogf] A027602 5.57125 [(49*f(x)+288)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-9) ogf] A027603 12.9526 [-(-25+13*x+2*x^3-14*x^2)/(x-1)/(2*x^3-10*x^2+11*x-9) lgdogf] A027603 3.60021 [{(17*n^2+82*n+96)*a(n+1)+(-4*n^2+127*n+420)*a(n+2)+(-13*n^2-119*n-240)*a(n+3),a(0)=36,a(1)=100,a(2)=224} ogf] A027603 4.61504 [(10272*f(x)+128509)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+8*x^3-4*f(x)*x-40*x^2+f(x)+44*x-36) ogf] A027603 8.59550 [-4*(2*x^3-10*x^2+11*x-9)/(x-1)^4 ogf] A027604 12.4687 [-(-45+49*x+7*x^3-35*x^2)/(x-1)/(7*x^3-28*x^2+35*x-20) lgdogf] A027604 3.57051 [{(11*n^2+49*n+54)*a(n+1)+(-4*n^2+88*n+300)*a(n+2)+(-7*n^2-83*n-186)*a(n+3),a(0)=100,a(1)=225,a(2)=440} ogf] A027604 4.38199 [-(324*f(x)+11225)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+35*x^3-4*f(x)*x-140*x^2+f(x)+175*x-100) ogf] A027604 8.03364 [-5*(7*x^3-28*x^2+35*x-20)/(x-1)^4 ogf] A027608 21.8178 [-(-9+10*x)/(2*x-1)/(x-1) lgdogf] A027608 3.50437 [{(-n-3)*a(n+3)+(15+3*n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=49} ogf] A027608 9.40647 [-1/(x-1)/(2*x-1)^4 ogf] A027616 4.27157 [{(-n^2-5*n-6)*a(n+1)+(n+3)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A027618 3.54767 [-f(x)^2*x^4+8*f(x)^2*x^3-14*f(x)^2*x^2+f(x)*x^3+8*f(x)^2*x-7*f(x)*x^2-f(x)^2+7*f(x)*x+2*x^2-f(x)-3*x+2 ogf] A027620 10.4910 [(x^2-4*x+9)/(x-1)^4 ogf] A027620 21.4948 [-2*(16-5*x+x^2)/(x-1)/(x^2-4*x+9) lgdogf] A027620 5.20777 [(109215*f(x)+695321)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+4*x-9) ogf] A027621 6.59865 [-2*(8*x^4-40*x^3+80*x^2-81*x+45)/(x-1)^5 ogf] A027621 9.69597 [-4*(36-41*x+2*x^4-12*x^3+30*x^2)/(x-1)/(8*x^4-40*x^3+80*x^2-81*x+45) lgdogf] A027622 5.57939 [-(-3413+6939*x+259*x^5-1749*x^4+4994*x^3-7750*x^2)/(x-1)/(259*x^5-1522*x^4+3694*x^3-4708*x^2+3271*x-1114) lgdogf] A027622 6.09052 [-(259*x^5-1522*x^4+3694*x^3-4708*x^2+3271*x-1114)/(x-1)^6 ogf] A027625 4.56534 [{(-n^2-13*n-36)*a(n+1)+(n^2+7*n+6)*a(n+4),a(0)=0,a(1)=1,a(2)=7,a(3)=4} ogf] A027625 5.55865 [-(-7-8*x-12*x^5-23*x^4-72*x^3+3*x^8+4*x^7-6*x^6-18*x^2+4*x^9)/(x-1)/(2*x^7+x^6+x^5-4*x^4-3*x^3-4*x^2-7*x-1)/(x^2+x+1) lgdogf] A027625 6.07317 [x*(2*x^7+x^6+x^5-4*x^4-3*x^3-4*x^2-7*x-1)/(x-1)^3/(x^2+x+1)^3 ogf] A027626 5.65725 [{(n^2+13*n+42)*a(n+1)+(-n^2-7*n-12)*a(n+4),a(0)=1,a(1)=2,a(2)=10,a(3)=5} ogf] A027626 8.29466 [-(2+x^10+20*x+12*x^5+60*x^4+20*x^3+5*x^6+15*x^2)/(x-1)/(x^2+x+1)/(x^8-2*x^5+x^4+2*x^3+10*x^2+2*x+1) lgdogf] A027626 8.54360 [-(x^8-2*x^5+x^4+2*x^3+10*x^2+2*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A027628 7.39472 [-(96+1312*x+11*x^4+618*x^3+2283*x^2)/(x-1)/(11*x^4+287*x^3+474*x^2+91*x+1) lgdogf] A027628 7.75198 [-(11*x^4+287*x^3+474*x^2+91*x+1)/(x-1)^5 ogf] A027629 5.38294 [(x^6+7*x^5+43*x^4+154*x^3+43*x^2+7*x+1)/(x-1)^8 ogf] A027629 5.84896 [-(15+135*x+27*x^5+207*x^4+942*x^3+2*x^6+720*x^2)/(x-1)/(x^6+7*x^5+43*x^4+154*x^3+43*x^2+7*x+1) lgdogf] A027630 4.66877 [-(x+1)*(x^2+1)*(x^6+7*x^5+43*x^4+154*x^3+43*x^2+7*x+1)/(x-1)^7 ogf] A027635 25.5510 [-x^9-x^7+x^4+5*x ogf_with_Euler_transform] A027635 6.01099 [(x^2+1)*(x^4-x^3+x^2-x+1)*(x^4+1)/(x+1)^3/(x-1)^4 ogf] A027635 8.04891 [x*(3*x^10-3*x^9-10-25*x^4+15*x^3-20*x^2+7*x^7-17*x^6+15*x^5+10*x-7*x^8)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1) lgdogf] A027649 12.5710 [-(x-1)/(3*x-1)/(2*x-1) ogf] A027649 14.1790 [-1/2*(-1-5*x+(1+6*x+x^2)^(1/2))/(6*x+1) revogf] A027649 14.1790 [-2*(2-6*x+3*x^2)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A027649 6.65522 [(f(x)+1)*(6*f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A027649 6.89870 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=1,a(1)=4} ogf] A027650 13.9875 [(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A027650 6.68967 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=8,a(2)=46} ogf] A027650 7.12325 [(107*f(x)-84)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x-f(x)-x+1) ogf] A027650 9.13356 [-2*(-4+26*x+24*x^3-49*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(4*x-1) lgdogf] A027651 4.91565 [(1997637*f(x)+1915702)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2-4*x^3-14*f(x)*x+7*x^2+f(x)-2*x-1) ogf] A027651 5.56172 [-2*(8-70*x+240*x^5-600*x^4+157*x^3+145*x^2)/(x-1)/(4*x-1)/(-1+3*x)/(2*x-1)/(4*x+1)/(5*x-1) lgdogf] A027651 9.17981 [(4*x+1)*(x-1)^2/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A027656 19.9844 [1/(x+1)^2/(x-1)^2 ogf] A027656 43.3812 [[2*x] ogf_with_Euler_transform] A027656 57.0714 [-4*x/(x-1)/(x+1) lgdogf] A027656 6.42976 [{(-n-3)*a(n+3)+(5+n)*a(n+1),a(0)=1,a(1)=0,a(2)=2} ogf] A027656 9.01734 [(5*f(x)+11)*(f(x)*x^4-2*f(x)*x^2+f(x)-1) ogf] A027657 11.0088 [(4*x+1)/(x^2-34*x+1) ogf] A027657 11.0127 [-1/2*(-1-34*x+(1+84*x+1152*x^2)^(1/2))/(-4+x) revogf] A027657 13.3939 [-2*(-19+x+2*x^2)/(4*x+1)/(x^2-34*x+1) lgdogf] A027657 5.68995 [(645*f(x)+77)*(f(x)*x^2-34*f(x)*x+f(x)-4*x-1) ogf] A027657 6.02863 [{-a(n+2)+34*a(n+1)-a(n),a(0)=1,a(1)=38} ogf] A027658 12.2097 [-(-4+4*x+3*x^3-9*x^2)/(x-1)/(x^3-3*x^2+2*x-1) lgdogf] A027658 5.86640 [-(x^3-3*x^2+2*x-1)/(x-1)^6 ogf] A027659 11.4790 [-(-18+22*x+3*x^3-13*x^2)/(x-1)/(x-2)/(x^2-2*x+2) lgdogf] A027659 5.88124 [-(x-2)*(x^2-2*x+2)/(x-1)^6 ogf] A027660 15.1668 [-2*(2-3*x+4*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A027660 6.36068 [(2*x^2-2*x+1)/(x-1)^6 ogf] A027670 4.90222 [-x*(x+1)*(7*x^3+17*x^2+5*x+1)/(x-1)^7 ogf] A027670 8.68903 [-(13+80*x+21*x^4+124*x^3+182*x^2)/(x-1)/(x+1)/(7*x^3+17*x^2+5*x+1) lgdogf] A027674 7.67502 [-(x^4-x^2-2*x+1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A027674 7.73250 [-(1-4*x^5+15*x^4-4*x^3+x^8-2*x^6-2*x^2)/(x+1)/(x^4-2*x^3+x^2-2*x+1)/(x^4-x^2-2*x+1) lgdogf] A027688 12.5655 [-(3*x^2-4*x+3)/(x-1)^3 ogf] A027688 22.0886 [-(5-2*x+3*x^2)/(x-1)/(3*x^2-4*x+3) lgdogf] A027688 6.84373 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=5,a(2)=9} ogf] A027688 7.44173 [f(x)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-4*x+3) ogf] A027689 12.6290 [-2*(2*x^2-3*x+2)/(x-1)^3 ogf] A027689 22.2025 [-(3-2*x+2*x^2)/(x-1)/(2*x^2-3*x+2) lgdogf] A027689 6.81742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=6,a(2)=10} ogf] A027689 7.19971 [-f(x)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-6*x+4) ogf] A027690 12.6290 [-(5*x^2-8*x+5)/(x-1)^3 ogf] A027690 22.2025 [-(7-6*x+5*x^2)/(x-1)/(5*x^2-8*x+5) lgdogf] A027690 6.81742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=7,a(2)=11} ogf] A027690 6.87829 [(5*f(x)-12)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-8*x+5) ogf] A027691 12.4253 [-2*(3*x^2-5*x+3)/(x-1)^3 ogf] A027691 22.2025 [-(4-4*x+3*x^2)/(x-1)/(3*x^2-5*x+3) lgdogf] A027691 6.64111 [-(f(x)-6)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-10*x+6) ogf] A027691 6.81742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=8,a(2)=12} ogf] A027692 12.4253 [-(7*x^2-12*x+7)/(x-1)^3 ogf] A027692 20.9690 [-(9-10*x+7*x^2)/(x-1)/(7*x^2-12*x+7) lgdogf] A027692 6.81742 [(3*f(x)-40)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-12*x+7) ogf] A027692 6.81742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=9,a(2)=13} ogf] A027693 12.1714 [-2*(4*x^2-7*x+4)/(x-1)^3 ogf] A027693 21.7420 [-(5-6*x+4*x^2)/(x-1)/(4*x^2-7*x+4) lgdogf] A027693 6.61955 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=10,a(2)=14} ogf] A027693 6.67813 [(f(x)-30)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-14*x+8) ogf] A027694 12.1714 [-(9*x^2-16*x+9)/(x-1)^3 ogf] A027694 19.9792 [-(11-14*x+9*x^2)/(x-1)/(9*x^2-16*x+9) lgdogf] A027694 6.61955 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=11,a(2)=15} ogf] A027694 6.67813 [(f(x)-84)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-16*x+9) ogf] A027710 15.0619 [(-n-2)*a(n+2)+a(n+1),a(0)=3,a(1)=3 lgdegf] A027711 6.90531 [-(-2+8*x-18*x^5+9*x^4+12*x^3+4*x^7+5*x^6-15*x^2)/(2*x-1)/(x^2-x+1)/(x^2+x-1)/(x^3+x^2-2*x+1) lgdogf] A027711 7.25382 [x*(x^3+x^2-2*x+1)/(2*x-1)/(x^2-x+1)/(x^2+x-1) ogf] A027764 33.0978 [-5*(5+x)/(x+4)/(x-1) lgdogf] A027764 4.38844 [{(-4*n-12)*a(n+3)+(31+3*n)*a(n+2)+(6+n)*a(n+1),a(0)=4,a(1)=25,a(2)=90} ogf] A027764 8.44774 [(x+4)/(x-1)^6 ogf] A027765 31.1475 [-6*(x+6)/(5+x)/(x-1) lgdogf] A027765 5.05302 [{(-5*n-15)*a(n+3)+(44+4*n)*a(n+2)+(7+n)*a(n+1),a(0)=5,a(1)=36,a(2)=147} ogf] A027765 8.80020 [-(x+5)/(x-1)^7 ogf] A027766 39.3361 [-7*(x+7)/(x+6)/(x-1) lgdogf] A027766 5.16507 [{(-6*n-18)*a(n+3)+(59+5*n)*a(n+2)+(8+n)*a(n+1),a(0)=6,a(1)=49,a(2)=224} ogf] A027766 8.16924 [(x+6)/(x-1)^8 ogf] A027767 31.6401 [-8*(x+8)/(x+7)/(x-1) lgdogf] A027767 4.16765 [{(-7*n-21)*a(n+3)+(76+6*n)*a(n+2)+(9+n)*a(n+1),a(0)=7,a(1)=64,a(2)=324} ogf] A027767 5.92647 [-(x+7)/(x-1)^9 ogf] A027768 37.7138 [-9*(9+x)/(x+8)/(x-1) lgdogf] A027768 4.92144 [{(-8*n-24)*a(n+3)+(95+7*n)*a(n+2)+(10+n)*a(n+1),a(0)=8,a(1)=81,a(2)=450} ogf] A027768 6.19148 [(x+8)/(x-1)^10 ogf] A027769 34.0793 [-10*(10+x)/(9+x)/(x-1) lgdogf] A027769 4.82958 [{(-9*n-27)*a(n+3)+(116+8*n)*a(n+2)+(11+n)*a(n+1),a(0)=9,a(1)=100,a(2)=605} ogf] A027769 5.65240 [-(x+9)/(x-1)^11 ogf] A027770 32.0986 [-11*(x+11)/(10+x)/(x-1) lgdogf] A027770 4.69658 [{(-10*n-30)*a(n+3)+(139+9*n)*a(n+2)+(12+n)*a(n+1),a(0)=10,a(1)=121,a(2)=792} ogf] A027770 5.11192 [(x+10)/(x-1)^12 ogf] A027771 31.5894 [-12*(12+x)/(x+11)/(x-1) lgdogf] A027771 4.56536 [{(-11*n-33)*a(n+3)+(164+10*n)*a(n+2)+(13+n)*a(n+1),a(0)=11,a(1)=144,a(2)=1014} ogf] A027772 32.5810 [-13*(13+x)/(12+x)/(x-1) lgdogf] A027772 4.70614 [{(-12*n-36)*a(n+3)+(191+11*n)*a(n+2)+(14+n)*a(n+1),a(0)=12,a(1)=169,a(2)=1274} ogf] A027773 31.6290 [-14*(14+x)/(13+x)/(x-1) lgdogf] A027773 4.57001 [{(-13*n-39)*a(n+3)+(220+12*n)*a(n+2)+(15+n)*a(n+1),a(0)=13,a(1)=196,a(2)=1575} ogf] A027774 32.4687 [-15*(15+x)/(14+x)/(x-1) lgdogf] A027774 4.68923 [{(-14*n-42)*a(n+3)+(251+13*n)*a(n+2)+(16+n)*a(n+1),a(0)=14,a(1)=225,a(2)=1920} ogf] A027775 31.0896 [-16*(16+x)/(15+x)/(x-1) lgdogf] A027775 4.49243 [{(-15*n-45)*a(n+3)+(284+14*n)*a(n+2)+(17+n)*a(n+1),a(0)=15,a(1)=256,a(2)=2312} ogf] A027776 31.6423 [-17*(17+x)/(16+x)/(x-1) lgdogf] A027776 4.57090 [{(-16*n-48)*a(n+3)+(319+15*n)*a(n+2)+(18+n)*a(n+1),a(0)=16,a(1)=289,a(2)=2754} ogf] A027777 27.3575 [-10*(x+2)/(2*x+3)/(x-1) lgdogf] A027777 4.14727 [{(-3*n-9)*a(n+3)+(22+n)*a(n+2)+(12+2*n)*a(n+1),a(0)=6,a(1)=40,a(2)=150} ogf] A027777 8.03534 [2*(2*x+3)/(x-1)^6 ogf] A027778 30.1526 [-3*(2*x+5)/(x+2)/(x-1) lgdogf] A027778 4.36663 [{(-2*n-6)*a(n+3)+(17+n)*a(n+2)+(7+n)*a(n+1),a(0)=10,a(1)=75,a(2)=315} ogf] A027778 7.52030 [-5*(x+2)/(x-1)^7 ogf] A027779 24.4915 [-14*(x+3)/(2*x+5)/(x-1) lgdogf] A027779 3.64671 [{(-5*n-15)*a(n+3)+(48+3*n)*a(n+2)+(16+2*n)*a(n+1),a(0)=15,a(1)=126,a(2)=588} ogf] A027779 5.82000 [3*(2*x+5)/(x-1)^8 ogf] A027780 25.8578 [-4*(2*x+7)/(x+3)/(x-1) lgdogf] A027780 3.70435 [{(-3*n-9)*a(n+3)+(32+2*n)*a(n+2)+(9+n)*a(n+1),a(0)=21,a(1)=196,a(2)=1008} ogf] A027780 5.28712 [-7*(x+3)/(x-1)^9 ogf] A027781 24.1296 [-18*(x+4)/(2*x+7)/(x-1) lgdogf] A027781 3.56933 [{(-7*n-21)*a(n+3)+(82+5*n)*a(n+2)+(20+2*n)*a(n+1),a(0)=28,a(1)=288,a(2)=1620} ogf] A027781 4.54019 [4*(2*x+7)/(x-1)^10 ogf] A027782 34.7561 [-5*(9+2*x)/(x+4)/(x-1) lgdogf] A027782 4.89194 [{(-4*n-12)*a(n+3)+(51+3*n)*a(n+2)+(11+n)*a(n+1),a(0)=36,a(1)=405,a(2)=2475} ogf] A027782 5.71925 [-9*(x+4)/(x-1)^11 ogf] A027783 32.5810 [-22*(5+x)/(9+2*x)/(x-1) lgdogf] A027783 4.76497 [{(-9*n-27)*a(n+3)+(124+7*n)*a(n+2)+(24+2*n)*a(n+1),a(0)=45,a(1)=550,a(2)=3630} ogf] A027783 5.15132 [5*(2*x+9)/(x-1)^12 ogf] A027784 31.7689 [-6*(11+2*x)/(5+x)/(x-1) lgdogf] A027784 4.67648 [{(-5*n-15)*a(n+3)+(74+4*n)*a(n+2)+(13+n)*a(n+1),a(0)=55,a(1)=726,a(2)=5148} ogf] A027785 31.5182 [-26*(x+6)/(11+2*x)/(x-1) lgdogf] A027785 4.77834 [{(-11*n-33)*a(n+3)+(174+9*n)*a(n+2)+(28+2*n)*a(n+1),a(0)=66,a(1)=936,a(2)=7098} ogf] A027786 31.6423 [-7*(13+2*x)/(x+6)/(x-1) lgdogf] A027786 4.59929 [{(-6*n-18)*a(n+3)+(101+5*n)*a(n+2)+(15+n)*a(n+1),a(0)=78,a(1)=1183,a(2)=9555} ogf] A027787 29.2646 [-30*(x+7)/(13+2*x)/(x-1) lgdogf] A027787 4.35910 [{(-13*n-39)*a(n+3)+(232+11*n)*a(n+2)+(32+2*n)*a(n+1),a(0)=91,a(1)=1470,a(2)=12600} ogf] A027788 31.4912 [-8*(15+2*x)/(x+7)/(x-1) lgdogf] A027788 4.52049 [{(-7*n-21)*a(n+3)+(132+6*n)*a(n+2)+(17+n)*a(n+1),a(0)=105,a(1)=1800,a(2)=16320} ogf] A027789 10.0883 [2*(3*x+2)/(x-1)^6 ogf] A027789 28.5170 [-15*(x+1)/(3*x+2)/(x-1) lgdogf] A027789 5.20686 [{(-2*n-6)*a(n+3)+(13-n)*a(n+2)+(18+3*n)*a(n+1),a(0)=4,a(1)=30,a(2)=120} ogf] A027790 28.7781 [-2*(4+3*x)/(x-1)/(x+1) lgdogf] A027790 30.4473 [[8-x] ogf_with_Euler_transform] A027790 4.68440 [{(-n-3)*a(n+3)+8*a(n+2)+(7+n)*a(n+1),a(0)=10,a(1)=80,a(2)=350} ogf] A027790 7.10381 [-10*(x+1)/(x-1)^7 ogf] A027791 23.8734 [-7*(5+3*x)/(4+3*x)/(x-1) lgdogf] A027791 3.70782 [{(-4*n-12)*a(n+3)+(37+n)*a(n+2)+(24+3*n)*a(n+1),a(0)=20,a(1)=175,a(2)=840} ogf] A027791 5.85836 [5*(3*x+4)/(x-1)^8 ogf] A027792 27.1506 [-24*(x+2)/(5+3*x)/(x-1) lgdogf] A027792 4.00842 [{(-5*n-15)*a(n+3)+(52+2*n)*a(n+2)+(27+3*n)*a(n+1),a(0)=35,a(1)=336,a(2)=1764} ogf] A027792 5.74178 [-7*(3*x+5)/(x-1)^9 ogf] A027793 26.3666 [-3*(7+3*x)/(x+2)/(x-1) lgdogf] A027793 3.75068 [{(-2*n-6)*a(n+3)+(23+n)*a(n+2)+(10+n)*a(n+1),a(0)=56,a(1)=588,a(2)=3360} ogf] A027793 4.70324 [28*(x+2)/(x-1)^10 ogf] A027794 29.8442 [-10*(8+3*x)/(7+3*x)/(x-1) lgdogf] A027794 4.77445 [{(-7*n-21)*a(n+3)+(88+4*n)*a(n+2)+(33+3*n)*a(n+1),a(0)=84,a(1)=960,a(2)=5940} ogf] A027794 5.54115 [-12*(3*x+7)/(x-1)^11 ogf] A027795 32.3288 [-33*(x+3)/(8+3*x)/(x-1) lgdogf] A027795 4.66936 [{(-8*n-24)*a(n+3)+(109+5*n)*a(n+2)+(36+3*n)*a(n+1),a(0)=120,a(1)=1485,a(2)=9900} ogf] A027795 5.07676 [15*(3*x+8)/(x-1)^12 ogf] A027796 31.6423 [-4*(10+3*x)/(x+3)/(x-1) lgdogf] A027796 4.59929 [{(-3*n-9)*a(n+3)+(44+2*n)*a(n+2)+(13+n)*a(n+1),a(0)=165,a(1)=2200,a(2)=15730} ogf] A027797 27.7785 [-13*(11+3*x)/(10+3*x)/(x-1) lgdogf] A027797 4.65080 [{(-10*n-30)*a(n+3)+(157+7*n)*a(n+2)+(42+3*n)*a(n+1),a(0)=220,a(1)=3146,a(2)=24024} ogf] A027798 30.1791 [-42*(x+4)/(11+3*x)/(x-1) lgdogf] A027798 4.49293 [{(-11*n-33)*a(n+3)+(184+8*n)*a(n+2)+(45+3*n)*a(n+1),a(0)=286,a(1)=4368,a(2)=35490} ogf] A027799 32.4455 [-5*(13+3*x)/(x+4)/(x-1) lgdogf] A027799 4.68388 [{(-4*n-12)*a(n+3)+(71+3*n)*a(n+2)+(16+n)*a(n+1),a(0)=364,a(1)=5915,a(2)=50960} ogf] A027800 26.3396 [-10*(2*x+1)/(4*x+1)/(x-1) lgdogf] A027800 5.06579 [{(n+3)*a(n+3)+(-4+3*n)*a(n+2)+(-24-4*n)*a(n+1),a(0)=1,a(1)=10,a(2)=45} ogf] A027800 9.68832 [(4*x+1)/(x-1)^6 ogf] A027801 26.9384 [-3*(3+4*x)/(2*x+1)/(x-1) lgdogf] A027801 4.28566 [{(-n-3)*a(n+3)+(7-n)*a(n+2)+(14+2*n)*a(n+1),a(0)=5,a(1)=45,a(2)=210} ogf] A027801 7.33323 [-5*(2*x+1)/(x-1)^7 ogf] A027802 24.9113 [-28*(x+1)/(3+4*x)/(x-1) lgdogf] A027802 3.73144 [{(-3*n-9)*a(n+3)+(26-n)*a(n+2)+(32+4*n)*a(n+1),a(0)=15,a(1)=140,a(2)=700} ogf] A027802 5.85836 [5*(4*x+3)/(x-1)^8 ogf] A027803 28.5310 [-2*(4*x+5)/(x-1)/(x+1) lgdogf] A027803 28.7469 [[10-x] ogf_with_Euler_transform] A027803 4.54296 [{(-n-3)*a(n+3)+10*a(n+2)+(9+n)*a(n+1),a(0)=35,a(1)=350,a(2)=1890} ogf] A027803 5.77078 [-35*(x+1)/(x-1)^9 ogf] A027804 23.5789 [-18*(2*x+3)/(4*x+5)/(x-1) lgdogf] A027804 3.78625 [{(-5*n-15)*a(n+3)+(56+n)*a(n+2)+(40+4*n)*a(n+1),a(0)=70,a(1)=756,a(2)=4410} ogf] A027804 4.77789 [14*(4*x+5)/(x-1)^10 ogf] A027805 30.1770 [-5*(7+4*x)/(2*x+3)/(x-1) lgdogf] A027805 4.60702 [{(-3*n-9)*a(n+3)+(37+n)*a(n+2)+(22+2*n)*a(n+1),a(0)=126,a(1)=1470,a(2)=9240} ogf] A027805 5.34148 [-42*(2*x+3)/(x-1)^11 ogf] A027806 33.0285 [-44*(x+2)/(7+4*x)/(x-1) lgdogf] A027806 4.76871 [{(-7*n-21)*a(n+3)+(94+3*n)*a(n+2)+(48+4*n)*a(n+1),a(0)=210,a(1)=2640,a(2)=17820} ogf] A027806 5.15021 [30*(4*x+7)/(x-1)^12 ogf] A027807 33.9474 [-3*(9+4*x)/(x+2)/(x-1) lgdogf] A027807 4.71773 [{(-2*n-6)*a(n+3)+(29+n)*a(n+2)+(13+n)*a(n+1),a(0)=330,a(1)=4455,a(2)=32175} ogf] A027808 28.9719 [-26*(2*x+5)/(9+4*x)/(x-1) lgdogf] A027808 4.52049 [{(-9*n-27)*a(n+3)+(140+5*n)*a(n+2)+(56+4*n)*a(n+1),a(0)=495,a(1)=7150,a(2)=55055} ogf] A027809 27.8194 [-7*(11+4*x)/(2*x+5)/(x-1) lgdogf] A027809 4.34263 [{(-5*n-15)*a(n+3)+(83+3*n)*a(n+2)+(30+2*n)*a(n+1),a(0)=715,a(1)=11011,a(2)=90090} ogf] A027810 25.3951 [-6*(2+5*x)/(5*x+1)/(x-1) lgdogf] A027810 4.07157 [{(n+3)*a(n+3)+(-4+4*n)*a(n+2)+(-35-5*n)*a(n+1),a(0)=1,a(1)=12,a(2)=63} ogf] A027810 6.99944 [-(5*x+1)/(x-1)^7 ogf] A027811 25.9547 [-7*(3+5*x)/(2+5*x)/(x-1) lgdogf] A027811 4.10385 [{(-2*n-6)*a(n+3)+(15-3*n)*a(n+2)+(40+5*n)*a(n+1),a(0)=6,a(1)=63,a(2)=336} ogf] A027811 6.42522 [3*(5*x+2)/(x-1)^8 ogf] A027812 25.8852 [-8*(5*x+4)/(3+5*x)/(x-1) lgdogf] A027812 4.01341 [{(-3*n-9)*a(n+3)+(28-2*n)*a(n+2)+(45+5*n)*a(n+1),a(0)=21,a(1)=224,a(2)=1260} ogf] A027812 5.71278 [-7*(5*x+3)/(x-1)^9 ogf] A027813 25.4929 [-45*(x+1)/(5*x+4)/(x-1) lgdogf] A027813 3.76653 [{(-4*n-12)*a(n+3)+(43-n)*a(n+2)+(50+5*n)*a(n+1),a(0)=56,a(1)=630,a(2)=3780} ogf] A027813 4.75301 [14*(5*x+4)/(x-1)^10 ogf] A027814 33.0667 [-2*(6+5*x)/(x-1)/(x+1) lgdogf] A027814 33.2251 [[12-x] ogf_with_Euler_transform] A027814 5.14126 [{(-n-3)*a(n+3)+12*a(n+2)+(11+n)*a(n+1),a(0)=126,a(1)=1512,a(2)=9702} ogf] A027814 5.32620 [-126*(x+1)/(x-1)^11 ogf] A027815 28.9838 [-11*(7+5*x)/(6+5*x)/(x-1) lgdogf] A027815 4.55128 [{(-6*n-18)*a(n+3)+(79+n)*a(n+2)+(60+5*n)*a(n+1),a(0)=252,a(1)=3234,a(2)=22176} ogf] A027816 28.2194 [-12*(8+5*x)/(7+5*x)/(x-1) lgdogf] A027816 4.40507 [{(-7*n-21)*a(n+3)+(100+2*n)*a(n+2)+(65+5*n)*a(n+1),a(0)=462,a(1)=6336,a(2)=46332} ogf] A027817 29.7244 [-13*(5*x+9)/(8+5*x)/(x-1) lgdogf] A027817 4.60764 [{(-8*n-24)*a(n+3)+(123+3*n)*a(n+2)+(70+5*n)*a(n+1),a(0)=792,a(1)=11583,a(2)=90090} ogf] A027818 24.7916 [-14*(1+3*x)/(6*x+1)/(x-1) lgdogf] A027818 4.13803 [{(n+3)*a(n+3)+(-4+5*n)*a(n+2)+(-48-6*n)*a(n+1),a(0)=1,a(1)=14,a(2)=84} ogf] A027818 6.46039 [(6*x+1)/(x-1)^8 ogf] A027819 25.1525 [-12*(2*x+1)/(1+3*x)/(x-1) lgdogf] A027819 4.16783 [{(n+3)*a(n+3)+(-8+2*n)*a(n+2)+(-27-3*n)*a(n+1),a(0)=7,a(1)=84,a(2)=504} ogf] A027819 5.83496 [-7*(3*x+1)/(x-1)^9 ogf] A027820 23.6468 [-6*(3*x+2)/(2*x+1)/(x-1) lgdogf] A027820 3.67130 [{(-n-3)*a(n+3)+(10-n)*a(n+2)+(20+2*n)*a(n+1),a(0)=28,a(1)=336,a(2)=2100} ogf] A027820 4.60370 [28*(2*x+1)/(x-1)^10 ogf] A027821 31.9022 [-5*(5+6*x)/(3*x+2)/(x-1) lgdogf] A027821 4.89740 [{(-2*n-6)*a(n+3)+(23-n)*a(n+2)+(33+3*n)*a(n+1),a(0)=84,a(1)=1050,a(2)=6930} ogf] A027821 5.64265 [-42*(3*x+2)/(x-1)^11 ogf] A027822 31.2278 [-66*(x+1)/(5+6*x)/(x-1) lgdogf] A027822 4.51205 [{(-5*n-15)*a(n+3)+(64-n)*a(n+2)+(72+6*n)*a(n+1),a(0)=210,a(1)=2772,a(2)=19404} ogf] A027823 32.3526 [-2*(7+6*x)/(x-1)/(x+1) lgdogf] A027823 32.4559 [[14-x] ogf_with_Euler_transform] A027823 4.99516 [{(-n-3)*a(n+3)+14*a(n+2)+(13+n)*a(n+1),a(0)=462,a(1)=6468,a(2)=48048} ogf] A027826 4.33691 [-(2*x^4-4*x^2+4*x-1)*(2*x-1)^3/(x-1)/(x^2+2*x-1)/(x^8+8*x^6-8*x^5-14*x^4+32*x^3-24*x^2+8*x-1) ogf] A027831 11.4150 [-1/(2*x^4-4*x^3-2*x^2+4*x-1) ogf] A027831 11.6303 [-4*(2*x-1)*(x^2-x-1)/(-2*x^2-1+4*x+2*x^4-4*x^3) lgdogf] A027831 4.58473 [-(19*f(x)-2)*(2*f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A027849 13.9035 [-2*(10+37*x+13*x^2)/(x-1)/(13*x^2+16*x+1) lgdogf] A027849 4.05401 [(5174625*f(x)+65986798)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-13*x^2+f(x)-16*x-1) ogf] A027849 8.22223 [(13*x^2+16*x+1)/(x-1)^4 ogf] A027850 6.26558 [-(71*x^3+201*x^2+63*x+1)/(x-1)^5 ogf] A027850 9.60578 [-2*(34+327*x+71*x^3+408*x^2)/(x-1)/(71*x^3+201*x^2+63*x+1) lgdogf] A027865 14.3103 [-(91-86*x+31*x^2)/(x-1)/(31*x^2-74*x+55) lgdogf] A027865 5.05718 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=55,a(1)=91,a(2)=139} ogf] A027865 7.06952 [(197*f(x)+5527)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31*x^2-f(x)-74*x+55) ogf] A027865 9.16614 [-(31*x^2-74*x+55)/(x-1)^3 ogf] A027868 9.46497 [x^5*(2*x^20+x^15+x^10+x^5+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A027903 11.9898 [2*x*(5*x+4)/(x-1)^4 ogf] A027903 32.5141 [-3*(7+5*x)/(5*x+4)/(x-1) lgdogf] A027903 5.20611 [{(8+4*n)*a(n+3)+(-20+n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=8,a(2)=42} ogf] A027903 5.69302 [(4199769*f(x)+30998882)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-10*x^2+f(x)-8*x) ogf] A027906 9.99547 [-(4*x^2+4*x+4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A027914 4.92563 [9*f(x)^2*x^3+3*f(x)^2*x^2-5*f(x)^2*x+3*f(x)*x^2+f(x)^2+2*f(x)*x-f(x)+x ogf] A027916 12.0835 [-(x+2)/(x^2+x+1)/(x-1)^3 ogf] A027916 19.0205 [-(5+6*x+4*x^3+12*x^2)/(x+2)/(x-1)/(x^2+x+1) lgdogf] A027927 11.3478 [-(2-2*x+x^4-2*x^3+6*x^2)/(x-1)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A027927 6.60122 [-(x^4-3*x^3+5*x^2-3*x+1)/(x-1)^5 ogf] A027928 11.4769 [-(3-5*x+2*x^4-5*x^3+11*x^2)/(x-1)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A027928 6.42698 [(x^4-3*x^3+5*x^2-3*x+1)/(x-1)^6 ogf] A027929 5.15596 [-(x^2-x+1)*(x^4-4*x^3+7*x^2-4*x+1)/(x-1)^7 ogf] A027929 8.43648 [-(2-6*x-4*x^5+11*x^4-12*x^3+x^6+15*x^2)/(x-1)/(x^2-x+1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A027930 4.67015 [(x^2-x+1)*(x^4-4*x^3+7*x^2-4*x+1)/(x-1)^8 ogf] A027930 7.86131 [-(3-11*x-9*x^5+23*x^4-27*x^3+2*x^6+27*x^2)/(x-1)/(x^2-x+1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A027931 4.03657 [-(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1)/(x-1)^9 ogf] A027931 5.95003 [-(2-10*x-38*x^5+55*x^4-44*x^3+x^8-6*x^7+20*x^6+29*x^2)/(x-1)/(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1) lgdogf] A027932 3.49312 [(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1)/(x-1)^10 ogf] A027932 5.40704 [-(3-17*x-82*x^5+110*x^4-88*x^3+2*x^8-13*x^7+43*x^6+52*x^2)/(x-1)/(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1) lgdogf] A027933 3.57671 [-(x^2-x+1)*(x^4-5*x^3+9*x^2-5*x+1)*(x^4-3*x^3+5*x^2-3*x+1)/(x-1)^11 ogf] A027934 12.1605 [-x*(x-1)/(2*x-1)/(x^2+x-1) ogf] A027934 15.5171 [-(2-2*x+4*x^3-5*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A027934 6.24458 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A027934 8.15467 [2*f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)-x ogf] A027937 4.21464 [-(9017*f(x)+4604)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x+x^2+f(x)-2*x-1) ogf] A027937 8.49038 [-(x^2-2*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A027937 9.87863 [-(x+1)*(2*x^3-11*x^2+18*x-7)/(x-1)/(x^2-3*x+1)/(x^2-2*x-1) lgdogf] A027938 4.82049 [-(x^3+x^2-9*x-1)/(x^2-3*x+1)/(x-1)^4 ogf] A027938 6.53027 [-(-16-8*x+3*x^5-x^4-59*x^3+113*x^2)/(x-1)/(x^2-3*x+1)/(x^3+x^2-9*x-1) lgdogf] A027939 3.74466 [-(x^4+8*x^3-20*x^2-20*x-1)/(x^2-3*x+1)/(x-1)^6 ogf] A027941 18.6651 [-x/(x-1)/(x^2-3*x+1) ogf] A027941 20.4097 [-(3*x-2)*(x-2)/(x^2-3*x+1)/(x-1) lgdogf] A027941 6.89432 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A027941 9.93856 [f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A027942 12.3076 [-(-11+8*x+6*x^4-32*x^3+41*x^2)/(x-1)/(x^2-3*x+1)/(2*x^2-5*x-1) lgdogf] A027942 9.82789 [(2*x^2-5*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A027943 4.15445 [(4*x^3-5*x^2-14*x-1)/(x^2-3*x+1)/(x-1)^5 ogf] A027943 5.42265 [-(-22-46*x+16*x^5-57*x^4-40*x^3+229*x^2)/(x-1)/(x^2-3*x+1)/(4*x^3-5*x^2-14*x-1) lgdogf] A027944 3.17745 [(6*x^4+7*x^3-49*x^2-27*x-1)/(x^2-3*x+1)/(x-1)^7 ogf] A027946 6.06504 [-(-7-4*x+128*x^5-x^4-158*x^3+12*x^8-28*x^7-42*x^6+101*x^2)/(x-1)/(2*x-1)/(x^2+x-1)/(x^2-x-1)/(2*x^3-2*x^2-5*x+4) lgdogf] A027946 6.75991 [x^3*(2*x^3-2*x^2-5*x+4)/(2*x-1)/(x-1)/(x^2+x-1)/(x^2-x-1) ogf] A027947 12.1476 [(x+1)/(x^4-x^3-2*x^2+1) ogf] A027947 13.2894 [-(-1-4*x+3*x^4+2*x^3-5*x^2)/(x+1)/(x^4-x^3-2*x^2+1) lgdogf] A027947 6.72246 [(8*f(x)+5)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+f(x)-x-1) ogf] A027949 7.17216 [(x^5-6*x^4+14*x^3-14*x^2+2*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A027949 8.91263 [-(2*x-1)*(x^4-2*x^3-9*x^2+18*x+4)/(x-1)/(x^2-3*x+1)/(x^5-6*x^4+14*x^3-14*x^2+2*x-1) lgdogf] A027950 5.06045 [(x^7-8*x^6+26*x^5-44*x^4+49*x^3-41*x^2+2*x-1)/(x^2-3*x+1)/(x-1)^5 ogf] A027951 3.82134 [(x^9-10*x^8+43*x^7-105*x^6+162*x^5-148*x^4+84*x^3-92*x^2+2*x-1)/(x^2-3*x+1)/(x-1)^7 ogf] A027953 4.37291 [(-21837+41312*f(x))*(f(x)*x^4-5*f(x)*x^3-x^4+8*f(x)*x^2+5*x^3-5*f(x)*x-7*x^2+f(x)+2*x-1) ogf] A027953 7.87125 [(x^4-5*x^3+7*x^2-2*x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A027953 9.64518 [(-3-x+2*x^4-12*x^3+18*x^2)/(x-1)/(x^2-3*x+1)/(x^4-5*x^3+7*x^2-2*x+1) lgdogf] A027954 3.63857 [(x^6-7*x^5+19*x^4-29*x^3+25*x^2-2*x+1)/(x^2-3*x+1)/(x-1)^4 ogf] A027958 5.78202 [-(2*x^6-6*x^4-x^3+2*x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A027959 6.49763 [-(1+4*x+2*x^5-12*x^4-6*x^3-4*x^8-2*x^7+10*x^6+3*x^2+2*x^9)/(x-1)/(x+1)/(x^4-x^3-2*x^2+1)/(x^4-x^3-x^2+x+1) lgdogf] A027959 7.25159 [-(x^4-x^3-x^2+x+1)/(x-1)/(x+1)/(x^4-x^3-2*x^2+1) ogf] A027961 15.8806 [(2*x+1)/(x-1)/(x^2+x-1) ogf] A027961 17.0830 [-(-4+4*x^3+3*x^2)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A027961 7.60239 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A027961 8.30959 [(25*f(x)+7)*(f(x)*x^3-2*f(x)*x+f(x)-2*x-1) ogf] A027962 2.99985 [-(2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A027963 14.1175 [-(-6-2*x+8*x^3+9*x^2)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A027963 9.40614 [(2*x+1)/(x^2+x-1)/(x-1)^3 ogf] A027964 13.3153 [-(-7-3*x+10*x^3+12*x^2)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A027964 8.30423 [-(2*x+1)/(x^2+x-1)/(x-1)^4 ogf] A027965 5.69812 [-(2*x-3)*(x^2-x+1)/(x-1)^4 ogf] A027965 6.4681 [(274*f(x)+4217)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-5*x^2+f(x)+5*x-3) ogf] A027965 9.44778 [-(-7+5*x+2*x^3-4*x^2)/(x-1)/(2*x-3)/(x^2-x+1) lgdogf] A027966 5.19131 [(x^4-x^3-x^2+x-1)/(x-1)^5 ogf] A027966 9.78713 [-(-4+2*x+x^4+2*x^3-6*x^2)/(x-1)/(x^4-x^3-x^2+x-1) lgdogf] A027967 5.76483 [-(2*x-3)*(x^4-3*x^3+5*x^2-3*x+1)/(x-1)^6 ogf] A027967 8.76825 [-(-7+13*x+2*x^5-8*x^4+21*x^3-27*x^2)/(x-1)/(2*x-3)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A027968 5.23121 [(x^6-3*x^5+4*x^4-x^3-4*x^2+3*x-1)/(x-1)^7 ogf] A027968 8.93028 [-(-4+10*x-3*x^4+12*x^3+x^6-23*x^2)/(x-1)/(x^6-3*x^5+4*x^4-x^3-4*x^2+3*x-1) lgdogf] A027969 4.29249 [-(2*x-3)*(x^2-x+1)*(x^4-4*x^3+7*x^2-4*x+1)/(x-1)^8 ogf] A027969 6.45174 [-(-7+27*x+39*x^5-69*x^4+81*x^3+2*x^7-12*x^6-69*x^2)/(x-1)/(2*x-3)/(x^2-x+1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A027970 4.00293 [(x^8-5*x^7+11*x^6-10*x^5-x^4+10*x^3-11*x^2+5*x-1)/(x-1)^9 ogf] A027970 6.02509 [-(-4+18*x+26*x^5-55*x^4+56*x^3+x^8-2*x^7-2*x^6-47*x^2)/(x-1)/(x^8-5*x^7+11*x^6-10*x^5-x^4+10*x^3-11*x^2+5*x-1) lgdogf] A027973 11.6005 [-(4-6*x+4*x^4-4*x^3-x^2)/(x-1)/(2*x+1)/(2*x-1)/(x^2+x-1) lgdogf] A027973 13.1262 [-(2*x+1)*(x-1)/(2*x-1)/(x^2+x-1) ogf] A027973 6.7856 [-(25*f(x)-334)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+2*x^2+f(x)-x-1) ogf] A027973 7.14912 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A027974 12.2621 [(2*x+1)/(2*x-1)/(x^2+x-1) ogf] A027974 13.5408 [-(-5+2*x+8*x^3+8*x^2)/(2*x+1)/(2*x-1)/(x^2+x-1) lgdogf] A027974 5.75122 [-(3865*f(x)+1196)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A027974 5.75123 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A027975 7.78272 [(2*x^2+1)/(x-1)/(x^3+x^2-1) ogf] A027975 7.81367 [-(-1-6*x+4*x^5+4*x^3+2*x^2)/(x-1)/(2*x^2+1)/(x^3+x^2-1) lgdogf] A027975 8.08198 [-(757*f(x)+14)*(f(x)*x^4-f(x)*x^2-f(x)*x-2*x^2+f(x)-1) ogf] A027976 5.75147 [-(-1-6*x+4*x^5+3*x^4+4*x^3+6*x^6-x^2)/(x-1)/(x^2+x+1)/(x^2+x-1)/(2*x^2+1) lgdogf] A027976 5.93405 [(2*x^2+1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A027978 10.1239 [-(-11+15*x+8*x^4-2*x^3-9*x^2)/(x^2-3*x+1)/(8*x^3-13*x^2+5*x+1) lgdogf] A027978 4.47941 [(220*f(x)+427)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-8*x^3-6*f(x)*x+13*x^2+f(x)-5*x-1) ogf] A027978 8.10832 [(8*x^3-13*x^2+5*x+1)/(x^2-3*x+1)^2 ogf] A027979 6.60898 [(2*x^4+7*x^3-16*x^2+5*x+1)/(x+1)/(x^2-3*x+1)^2 ogf] A027979 6.75965 [-(-10+12*x+20*x^5-35*x^4+35*x^3+2*x^6-15*x^2)/(x+1)/(x^2-3*x+1)/(2*x^4+7*x^3-16*x^2+5*x+1) lgdogf] A027980 6.94736 [(6*x^3-12*x^2+8*x+1)/(x+1)/(x^2-3*x+1)^2 ogf] A027980 7.59430 [-(-13-5*x+12*x^5-30*x^4+50*x^3-25*x^2)/(x+1)/(x^2-3*x+1)/(6*x^3-12*x^2+8*x+1) lgdogf] A027981 10.6980 [(2*x^2-5*x-1)/(x-1)/(2*x-1)^2 ogf] A027981 13.8998 [-2*(5+2*x^3-9*x^2)/(x-1)/(2*x-1)/(2*x^2-5*x-1) lgdogf] A027981 5.72435 [(52*f(x)-127)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-2*x^2-f(x)+5*x+1) ogf] A027981 5.72435 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=10,a(2)=40} ogf] A027982 5.24157 [(564*f(x)+113701)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+2*x^3-6*f(x)*x+9*x^2+f(x)-4*x-1) ogf] A027982 9.57854 [-2*(5-7*x+2*x^4+21*x^3-15*x^2)/(x-1)/(2*x-1)/(2*x^3+9*x^2-4*x-1) lgdogf] A027982 9.68696 [-(2*x^3+9*x^2-4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A027983 12.2621 [(2*x+1)/(2*x-1)/(x^2+x-1) ogf] A027983 13.5408 [-(-5+2*x+8*x^3+8*x^2)/(2*x+1)/(2*x-1)/(x^2+x-1) lgdogf] A027983 5.75122 [-(3865*f(x)+1196)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A027983 5.75123 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A027984 4.88448 [(25*f(x)+79)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-2*x^3+4*f(x)*x-x^2-f(x)+2*x+1) ogf] A027984 8.64623 [-2*(-3+4*x+x^5-x^4-6*x^3+x^6+7*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A027984 8.81744 [(x-1)*(2*x+1)*(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A027989 13.3097 [-(-3+7*x+6*x^3-9*x^2)/(x^2-3*x+1)/(3*x^2-3*x+1) lgdogf] A027989 4.91221 [(4*f(x)+1)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A027989 9.12269 [(3*x^2-3*x+1)/(x^2-3*x+1)^2 ogf] A027990 7.87125 [(x^3+2*x^2-3*x+1)/(x+1)/(x^2-3*x+1)^2 ogf] A027990 9.93746 [-(-2+2*x^5+7*x^4-13*x^3+9*x^2)/(x+1)/(x^2-3*x+1)/(x^3+2*x^2-3*x+1) lgdogf] A027991 10.5888 [-(-3-3*x+6*x^4-10*x^3+9*x^2)/(x+1)/(x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A027991 8.42029 [(2*x^2-2*x+1)/(x+1)/(x^2-3*x+1)^2 ogf] A027992 12.6372 [-(x+1)/(x-1)/(2*x-1)^2 ogf] A027992 17.7417 [-2*(-3+2*x+2*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A027992 5.92719 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=6,a(2)=22} ogf] A027992 6.25956 [(291*f(x)-247)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A027993 15.7446 [-2*(3-7*x+6*x^3)/(2*x-1)/(x-1)/(3*x^2-1) lgdogf] A027993 4.98539 [(2*f(x)+173)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+3*x^2+f(x)-1) ogf] A027993 9.59873 [-(3*x^2-1)/(2*x-1)^2/(x-1)^2 ogf] A027994 12.5115 [-2*(-1+x+x^4-3*x^3+3*x^2)/(x-1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A027994 5.20337 [(29*f(x)-1)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A027994 9.80343 [-(x-1)^2/(x^2-3*x+1)/(x^2+x-1) ogf] A027998 9.58126 [-(-x^4-3*x^3-6*x^2-3*x-1)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A027999 10.4248 [-(-x^4-2*x^3-3*x^2-x)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A028000 3.48992 [(27445947700697*f(x)+1858206677580)*(1188*f(x)*x^4-1032*f(x)*x^3+271*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028000 7.81279 [-2*(-14+271*x+2376*x^3-1548*x^2)/(-1+9*x)/(6*x-1)/(2*x-1)/(11*x-1) lgdogf] A028000 9.08581 [1/(9*x-1)/(6*x-1)/(2*x-1)/(11*x-1) ogf] A028001 3.77097 [(1416048403*f(x)+87718464)*(1296*f(x)*x^4-1116*f(x)*x^3+288*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028001 8.18975 [-(-29+576*x+5184*x^3-3348*x^2)/(12*x-1)/(6*x-1)/(-1+9*x)/(2*x-1) lgdogf] A028001 9.23236 [1/(12*x-1)/(6*x-1)/(9*x-1)/(2*x-1) ogf] A028002 4.95373 [(953273234308244*f(x)+57965424177375)*(1320*f(x)*x^4-1132*f(x)*x^3+290*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028002 8.10121 [-(-29+580*x+5280*x^3-3396*x^2)/(6*x-1)/(2*x-1)/(10*x-1)/(11*x-1) lgdogf] A028002 9.13466 [1/(6*x-1)/(2*x-1)/(10*x-1)/(11*x-1) ogf] A028003 3.29245 [(16394350577*f(x)+911952000)*(1440*f(x)*x^4-1224*f(x)*x^3+308*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028003 7.01549 [-2*(-15+308*x+2880*x^3-1836*x^2)/(12*x-1)/(6*x-1)/(2*x-1)/(10*x-1) lgdogf] A028003 8.17436 [1/(12*x-1)/(6*x-1)/(2*x-1)/(10*x-1) ogf] A028004 3.23779 [(3998645914993*f(x)+201734026560)*(1584*f(x)*x^4-1332*f(x)*x^3+328*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028004 7.36469 [-(-31+656*x+6336*x^3-3996*x^2)/(6*x-1)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A028004 8.31778 [1/(6*x-1)/(2*x-1)/(12*x-1)/(11*x-1) ogf] A028005 3.54894 [(154811482108433579*f(x)+12435721156131840)*(1008*f(x)*x^4-886*f(x)*x^3+239*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028005 9.00279 [-2*(96*x-13)*(21*x^2-11*x+1)/(-1+9*x)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A028005 9.83740 [1/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A028006 4.49624 [(8278181621651*f(x)+597335872000)*(1120*f(x)*x^4-972*f(x)*x^3+256*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028006 8.13986 [-(-27+512*x+4480*x^3-2916*x^2)/(2*x-1)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A028006 9.19551 [1/(2*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A028007 3.31432 [(599666349578624857*f(x)+39255784942173184)*(1232*f(x)*x^4-1058*f(x)*x^3+273*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028007 7.93299 [-2*(-14+273*x+2464*x^3-1587*x^2)/(7*x-1)/(2*x-1)/(11*x-1)/(8*x-1) lgdogf] A028007 9.08581 [1/(7*x-1)/(2*x-1)/(11*x-1)/(8*x-1) ogf] A028008 3.54621 [(66077562116555*f(x)+3957029411328)*(1344*f(x)*x^4-1144*f(x)*x^3+290*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028008 8.31974 [-(-29+580*x+5376*x^3-3432*x^2)/(12*x-1)/(2*x-1)/(8*x-1)/(7*x-1) lgdogf] A028008 9.23236 [1/(12*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A028009 11.5239 [1/(9*x-1)/(2*x-1)/(7*x-1)/(10*x-1) ogf] A028009 4.25725 [(43260852311888662*f(x)+2769045388932375)*(1260*f(x)*x^4-1076*f(x)*x^3+275*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028009 9.94864 [-2*(-14+275*x+2520*x^3-1614*x^2)/(-1+9*x)/(2*x-1)/(7*x-1)/(10*x-1) lgdogf] A028010 3.21328 [(168822456586773882643*f(x)+9800840073966125184)*(1386*f(x)*x^4-1171*f(x)*x^3+293*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028010 8.05694 [-(-29+586*x+5544*x^3-3513*x^2)/(-1+9*x)/(7*x-1)/(2*x-1)/(11*x-1) lgdogf] A028010 9.08581 [1/(9*x-1)/(7*x-1)/(2*x-1)/(11*x-1) ogf] A028011 10.2163 [-2*(-15+311*x+3024*x^3-1899*x^2)/(12*x-1)/(-1+9*x)/(2*x-1)/(7*x-1) lgdogf] A028011 11.8285 [1/(12*x-1)/(9*x-1)/(2*x-1)/(7*x-1) ogf] A028011 4.4549 [(1088763292727671*f(x)+57808924701696)*(1512*f(x)*x^4-1266*f(x)*x^3+311*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028012 3.34996 [(223422983703975049*f(x)+11642331311726500)*(1540*f(x)*x^4-1284*f(x)*x^3+313*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028012 7.89865 [-2*(-15+313*x+3080*x^3-1926*x^2)/(7*x-1)/(2*x-1)/(10*x-1)/(11*x-1) lgdogf] A028012 9.18350 [1/(7*x-1)/(2*x-1)/(10*x-1)/(11*x-1) ogf] A028013 3.13502 [(879409726084901*f(x)+41904246888000)*(1680*f(x)*x^4-1388*f(x)*x^3+332*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028013 7.32137 [-(-31+664*x+6720*x^3-4164*x^2)/(12*x-1)/(2*x-1)/(7*x-1)/(10*x-1) lgdogf] A028013 8.26997 [1/(12*x-1)/(2*x-1)/(7*x-1)/(10*x-1) ogf] A028014 2.99646 [(9222966858424407479*f(x)+398395564854465024)*(1848*f(x)*x^4-1510*f(x)*x^3+353*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028014 7.14152 [-2*(-16+353*x+3696*x^3-2265*x^2)/(7*x-1)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A028014 8.31778 [1/(7*x-1)/(2*x-1)/(12*x-1)/(11*x-1) ogf] A028015 3.42193 [(1192403207338751*f(x)+66644876736000)*(1440*f(x)*x^4-1204*f(x)*x^3+296*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028015 8.05694 [-(-29+592*x+5760*x^3-3612*x^2)/(-1+9*x)/(2*x-1)/(8*x-1)/(10*x-1) lgdogf] A028015 9.08581 [1/(9*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A028016 3.33214 [(639818235393857339*f(x)+32422466628135936)*(1584*f(x)*x^4-1310*f(x)*x^3+315*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028016 8.10121 [-6*(-5+105*x+1056*x^3-655*x^2)/(11*x-1)/(8*x-1)/(2*x-1)/(-1+9*x) lgdogf] A028016 9.13466 [1/(11*x-1)/(8*x-1)/(2*x-1)/(9*x-1) ogf] A028017 3.28886 [(23026010249*f(x)+1066867200)*(1728*f(x)*x^4-1416*f(x)*x^3+334*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028017 7.27805 [-(-31+668*x+6912*x^3-4248*x^2)/(12*x-1)/(-1+9*x)/(2*x-1)/(8*x-1) lgdogf] A028017 8.22216 [1/(12*x-1)/(9*x-1)/(2*x-1)/(8*x-1) ogf] A028018 3.01983 [(50804231396140679*f(x)+2309808370496000)*(1760*f(x)*x^4-1436*f(x)*x^3+336*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028018 7.23473 [-(-31+672*x+7040*x^3-4308*x^2)/(2*x-1)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A028018 8.17436 [1/(2*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A028019 3.23779 [(5598060693973*f(x)+232670016000)*(1920*f(x)*x^4-1552*f(x)*x^3+356*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028019 7.60226 [-8*(-4+89*x+960*x^3-582*x^2)/(12*x-1)/(2*x-1)/(8*x-1)/(10*x-1) lgdogf] A028019 8.31778 [1/(12*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A028020 3.15067 [(1365352708479943*f(x)+51424138123776)*(2112*f(x)*x^4-1688*f(x)*x^3+378*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028020 7.18353 [-3*(-11+252*x+2816*x^3-1688*x^2)/(2*x-1)/(12*x-1)/(11*x-1)/(8*x-1) lgdogf] A028020 8.36557 [1/(2*x-1)/(12*x-1)/(11*x-1)/(8*x-1) ogf] A028021 3.05515 [(41576233953674701*f(x)+1674106107374250)*(1980*f(x)*x^4-1588*f(x)*x^3+359*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028021 6.99355 [-2*(-16+359*x+3960*x^3-2382*x^2)/(-1+9*x)/(2*x-1)/(10*x-1)/(11*x-1) lgdogf] A028021 8.26997 [1/(9*x-1)/(2*x-1)/(10*x-1)/(11*x-1) ogf] A028022 3.23779 [(8385099762937*f(x)+308584728000)*(2160*f(x)*x^4-1716*f(x)*x^3+380*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028022 7.25139 [-(-33+760*x+8640*x^3-5148*x^2)/(12*x-1)/(-1+9*x)/(2*x-1)/(10*x-1) lgdogf] A028022 8.31778 [1/(12*x-1)/(9*x-1)/(2*x-1)/(10*x-1) ogf] A028023 3.11028 [(22496046653779763*f(x)+750015811252224)*(2376*f(x)*x^4-1866*f(x)*x^3+403*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028023 7.07631 [-2*(-17+403*x+4752*x^3-2799*x^2)/(-1+9*x)/(2*x-1)/(12*x-1)/(11*x-1) lgdogf] A028023 8.36557 [1/(9*x-1)/(2*x-1)/(12*x-1)/(11*x-1) ogf] A028024 3.08845 [(111615144843693493*f(x)+3335296582728000)*(2640*f(x)*x^4-2044*f(x)*x^3+428*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028024 7.22554 [-(-35+856*x+10560*x^3-6132*x^2)/(2*x-1)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A028024 8.41338 [1/(2*x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A028025 3.91901 [(6367091071*f(x)+4264704000)*(360*f(x)*x^4-342*f(x)*x^3+119*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A028025 8.78583 [-2*(-9+119*x+720*x^3-513*x^2)/(6*x-1)/(4*x-1)/(-1+3*x)/(5*x-1) lgdogf] A028025 9.93748 [1/(6*x-1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A028026 10.2530 [1/(4*x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A028026 4.59625 [(14135203048473749*f(x)+8426916999648000)*(420*f(x)*x^4-389*f(x)*x^3+131*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A028026 8.92679 [-(-19+262*x+1680*x^3-1167*x^2)/(4*x-1)/(-1+3*x)/(7*x-1)/(5*x-1) lgdogf] A028027 3.59344 [(2038552683409*f(x)+1087972992000)*(480*f(x)*x^4-436*f(x)*x^3+143*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A028027 8.25820 [-2*(-10+143*x+960*x^3-654*x^2)/(4*x-1)/(-1+3*x)/(8*x-1)/(5*x-1) lgdogf] A028027 9.49693 [1/(4*x-1)/(3*x-1)/(8*x-1)/(5*x-1) ogf] A028028 3.80104 [(428033778973*f(x)+206087328000)*(540*f(x)*x^4-483*f(x)*x^3+155*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A028028 8.49046 [-(-21+310*x+2160*x^3-1449*x^2)/(4*x-1)/(-1+3*x)/(-1+9*x)/(5*x-1) lgdogf] A028028 9.90984 [1/(4*x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A028029 4.02139 [(82537895*f(x)+36129024)*(600*f(x)*x^4-530*f(x)*x^3+167*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A028029 8.35984 [-2*(-11+167*x+1200*x^3-795*x^2)/(4*x-1)/(-1+3*x)/(5*x-1)/(10*x-1) lgdogf] A028029 9.90984 [1/(4*x-1)/(3*x-1)/(5*x-1)/(10*x-1) ogf] A028030 3.22771 [(272171952195602473*f(x)+109086634701792000)*(660*f(x)*x^4-577*f(x)*x^3+179*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A028030 7.79133 [-(-23+358*x+2640*x^3-1731*x^2)/(-1+3*x)/(5*x-1)/(4*x-1)/(11*x-1) lgdogf] A028030 9.10675 [1/(3*x-1)/(5*x-1)/(4*x-1)/(11*x-1) ogf] A028031 3.77762 [(77220893*f(x)+28521000)*(720*f(x)*x^4-624*f(x)*x^3+191*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028031 7.84581 [-2*(-12+191*x+1440*x^3-936*x^2)/(12*x-1)/(4*x-1)/(-1+3*x)/(5*x-1) lgdogf] A028031 9.30912 [1/(12*x-1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A028032 5.17569 [(923266291*f(x)+491549184)*(504*f(x)*x^4-450*f(x)*x^3+145*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A028032 7.99368 [-2*(-10+145*x+1008*x^3-675*x^2)/(6*x-1)/(-1+3*x)/(7*x-1)/(4*x-1) lgdogf] A028032 9.34209 [1/(6*x-1)/(3*x-1)/(7*x-1)/(4*x-1) ogf] A028033 3.98229 [(1044373*f(x)+497664)*(576*f(x)*x^4-504*f(x)*x^3+158*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A028033 8.34996 [-(-21+316*x+2304*x^3-1512*x^2)/(6*x-1)/(4*x-1)/(-1+3*x)/(8*x-1) lgdogf] A028033 9.60016 [1/(6*x-1)/(4*x-1)/(3*x-1)/(8*x-1) ogf] A028034 3.96394 [(354164107*f(x)+152202240)*(648*f(x)*x^4-558*f(x)*x^3+171*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A028034 8.35984 [-2*(-11+171*x+1296*x^3-837*x^2)/(6*x-1)/(4*x-1)/(-1+3*x)/(-1+9*x) lgdogf] A028034 9.90984 [1/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1) ogf] A028035 3.90811 [(4038520277*f(x)+1577304000)*(720*f(x)*x^4-612*f(x)*x^3+184*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A028035 8.49046 [-(-23+368*x+2880*x^3-1836*x^2)/(6*x-1)/(4*x-1)/(-1+3*x)/(10*x-1) lgdogf] A028035 9.90984 [1/(6*x-1)/(4*x-1)/(3*x-1)/(10*x-1) ogf] A028036 3.53181 [(973425105481*f(x)+347994358272)*(792*f(x)*x^4-666*f(x)*x^3+197*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028036 7.75864 [-2*(-12+197*x+1584*x^3-999*x^2)/(6*x-1)/(-1+3*x)/(4*x-1)/(11*x-1) lgdogf] A028036 9.20793 [1/(6*x-1)/(3*x-1)/(4*x-1)/(11*x-1) ogf] A028037 4.07274 [(583*f(x)+192)*(864*f(x)*x^4-720*f(x)*x^3+210*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028037 8.49963 [-(24*x-5)*(144*x^2-60*x+5)/(6*x-1)/(-1+3*x)/(12*x-1)/(4*x-1) lgdogf] A028037 9.30912 [1/(6*x-1)/(3*x-1)/(12*x-1)/(4*x-1) ogf] A028038 3.69653 [(1467730804441*f(x)+622130568192)*(672*f(x)*x^4-572*f(x)*x^3+173*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A028038 8.30981 [-2*(-11+173*x+1344*x^3-858*x^2)/(4*x-1)/(-1+3*x)/(8*x-1)/(7*x-1) lgdogf] A028038 9.70339 [1/(4*x-1)/(3*x-1)/(8*x-1)/(7*x-1) ogf] A028039 3.67517 [(260547456470323*f(x)+99555374225664)*(756*f(x)*x^4-633*f(x)*x^3+187*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A028039 8.49046 [-(-23+374*x+3024*x^3-1899*x^2)/(4*x-1)/(-1+3*x)/(-1+9*x)/(7*x-1) lgdogf] A028039 9.90984 [1/(4*x-1)/(3*x-1)/(9*x-1)/(7*x-1) ogf] A028040 3.60358 [(8908910747345543*f(x)+3092435787168000)*(840*f(x)*x^4-694*f(x)*x^3+201*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028040 8.90803 [-6*(5*x-1)*(112*x^2-47*x+4)/(4*x-1)/(-1+3*x)/(7*x-1)/(10*x-1) lgdogf] A028040 9.90984 [1/(4*x-1)/(3*x-1)/(7*x-1)/(10*x-1) ogf] A028041 3.34502 [(17172942012301951*f(x)+5454280889697024)*(924*f(x)*x^4-755*f(x)*x^3+215*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028041 7.92413 [-(-25+430*x+3696*x^3-2265*x^2)/(11*x-1)/(-1+3*x)/(7*x-1)/(4*x-1) lgdogf] A028041 9.25852 [1/(11*x-1)/(3*x-1)/(7*x-1)/(4*x-1) ogf] A028042 3.63989 [(13388546743*f(x)+3916044720)*(1008*f(x)*x^4-816*f(x)*x^3+229*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028042 7.76986 [-2*(-13+229*x+2016*x^3-1224*x^2)/(12*x-1)/(4*x-1)/(-1+3*x)/(7*x-1) lgdogf] A028042 9.19551 [1/(12*x-1)/(4*x-1)/(3*x-1)/(7*x-1) ogf] A028043 4.84726 [(37437266471*f(x)+12786232320)*(864*f(x)*x^4-708*f(x)*x^3+203*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028043 8.23318 [-2*(-12+203*x+1728*x^3-1062*x^2)/(4*x-1)/(-1+3*x)/(-1+9*x)/(8*x-1) lgdogf] A028043 9.90984 [1/(4*x-1)/(3*x-1)/(9*x-1)/(8*x-1) ogf] A028044 3.48851 [(1279737341773*f(x)+396911232000)*(960*f(x)*x^4-776*f(x)*x^3+218*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028044 7.83560 [-(-25+436*x+3840*x^3-2328*x^2)/(4*x-1)/(-1+3*x)/(8*x-1)/(10*x-1) lgdogf] A028044 9.15734 [1/(4*x-1)/(3*x-1)/(8*x-1)/(10*x-1) ogf] A028045 11.6228 [1/(3*x-1)/(4*x-1)/(11*x-1)/(8*x-1) ogf] A028045 4.35854 [(308291292215023*f(x)+87459613553664)*(1056*f(x)*x^4-844*f(x)*x^3+233*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028045 9.85941 [-2*(-13+233*x+2112*x^3-1266*x^2)/(-1+3*x)/(4*x-1)/(11*x-1)/(8*x-1) lgdogf] A028046 10.3515 [-(-27+496*x+4608*x^3-2736*x^2)/(12*x-1)/(4*x-1)/(-1+3*x)/(8*x-1) lgdogf] A028046 11.8294 [1/(12*x-1)/(4*x-1)/(3*x-1)/(8*x-1) ogf] A028046 4.95792 [(1398197*f(x)+365184)*(1152*f(x)*x^4-912*f(x)*x^3+248*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028047 3.52237 [(1587310379039*f(x)+443286432000)*(1080*f(x)*x^4-858*f(x)*x^3+235*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028047 7.61161 [-2*(-13+235*x+2160*x^3-1287*x^2)/(4*x-1)/(-1+3*x)/(-1+9*x)/(10*x-1) lgdogf] A028047 9.14581 [1/(4*x-1)/(3*x-1)/(9*x-1)/(10*x-1) ogf] A028048 3.42578 [(710050360322441*f(x)+181327407148800)*(1188*f(x)*x^4-933*f(x)*x^3+251*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028048 7.88940 [-(-27+502*x+4752*x^3-2799*x^2)/(-1+9*x)/(-1+3*x)/(4*x-1)/(11*x-1) lgdogf] A028048 9.19551 [1/(9*x-1)/(3*x-1)/(4*x-1)/(11*x-1) ogf] A028049 4.02615 [(25156*f(x)+5913)*(1296*f(x)*x^4-1008*f(x)*x^3+267*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028049 7.82304 [-2*(-14+267*x+2592*x^3-1512*x^2)/(12*x-1)/(4*x-1)/(-1+3*x)/(-1+9*x) lgdogf] A028049 9.23236 [1/(12*x-1)/(4*x-1)/(3*x-1)/(9*x-1) ogf] A028050 3.35655 [(24262219170788293*f(x)+5621764633056000)*(1320*f(x)*x^4-1022*f(x)*x^3+269*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028050 7.69618 [-2*(-14+269*x+2640*x^3-1533*x^2)/(-1+3*x)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A028050 9.08581 [1/(3*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A028051 3.3193 [(605096459*f(x)+129024000)*(1440*f(x)*x^4-1104*f(x)*x^3+286*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028051 7.08077 [-(-29+572*x+5760*x^3-3312*x^2)/(12*x-1)/(4*x-1)/(-1+3*x)/(10*x-1) lgdogf] A028051 8.12655 [1/(12*x-1)/(4*x-1)/(3*x-1)/(10*x-1) ogf] A028052 3.28886 [(51001343533*f(x)+9938353392)*(1584*f(x)*x^4-1200*f(x)*x^3+305*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028052 6.95217 [-2*(-15+305*x+3168*x^3-1800*x^2)/(11*x-1)/(-1+3*x)/(12*x-1)/(4*x-1) lgdogf] A028052 8.22216 [1/(11*x-1)/(3*x-1)/(12*x-1)/(4*x-1) ogf] A028053 4.87124 [(22267953797771*f(x)+11143650168000)*(630*f(x)*x^4-531*f(x)*x^3+161*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A028053 8.21232 [-(-21+322*x+2520*x^3-1593*x^2)/(6*x-1)/(-1+3*x)/(7*x-1)/(5*x-1) lgdogf] A028053 9.44532 [1/(6*x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A028054 3.77972 [(12381132401*f(x)+5549952000)*(720*f(x)*x^4-594*f(x)*x^3+175*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A028054 8.26465 [-2*(-11+175*x+1440*x^3-891*x^2)/(6*x-1)/(-1+3*x)/(8*x-1)/(5*x-1) lgdogf] A028054 9.65177 [1/(6*x-1)/(3*x-1)/(8*x-1)/(5*x-1) ogf] A028055 3.88078 [(14016175907*f(x)+5667408000)*(810*f(x)*x^4-657*f(x)*x^3+189*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A028055 8.49046 [-(-23+378*x+3240*x^3-1971*x^2)/(6*x-1)/(-1+3*x)/(-1+9*x)/(5*x-1) lgdogf] A028055 9.90984 [1/(6*x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A028056 4.14143 [(280687*f(x)+103140)*(900*f(x)*x^4-720*f(x)*x^3+203*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028056 8.23318 [-2*(-12+203*x+1800*x^3-1080*x^2)/(6*x-1)/(-1+3*x)/(5*x-1)/(10*x-1) lgdogf] A028056 9.90984 [1/(6*x-1)/(3*x-1)/(5*x-1)/(10*x-1) ogf] A028057 4.913 [(46906349667063*f(x)+15773638408000)*(990*f(x)*x^4-783*f(x)*x^3+217*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028057 7.92413 [-(-25+434*x+3960*x^3-2349*x^2)/(6*x-1)/(-1+3*x)/(5*x-1)/(11*x-1) lgdogf] A028057 9.25852 [1/(6*x-1)/(3*x-1)/(5*x-1)/(11*x-1) ogf] A028058 3.66535 [(8080481123*f(x)+2502624000)*(1080*f(x)*x^4-846*f(x)*x^3+231*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028058 7.76986 [-2*(-13+231*x+2160*x^3-1269*x^2)/(12*x-1)/(6*x-1)/(-1+3*x)/(5*x-1) lgdogf] A028058 9.19551 [1/(12*x-1)/(6*x-1)/(3*x-1)/(5*x-1) ogf] A028059 3.45747 [(896014606641047377*f(x)+357925498382592000)*(840*f(x)*x^4-673*f(x)*x^3+191*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A028059 8.48759 [-(-23+382*x+3360*x^3-2019*x^2)/(-1+3*x)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A028059 9.75500 [1/(3*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A028060 3.69968 [(54993283585427*f(x)+19804587145875)*(945*f(x)*x^4-744*f(x)*x^3+206*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028060 8.62523 [-4*(-6+103*x+945*x^3-558*x^2)/(-1+3*x)/(-1+9*x)/(7*x-1)/(5*x-1) lgdogf] A028060 9.90984 [1/(3*x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A028061 5.21042 [(9837132182471*f(x)+3217712964480)*(1050*f(x)*x^4-815*f(x)*x^3+221*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028061 8.49046 [-(-25+442*x+4200*x^3-2445*x^2)/(-1+3*x)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A028061 9.73598 [1/(3*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A028062 3.2582 [(1805401869571938079*f(x)+540188617495093875)*(1155*f(x)*x^4-886*f(x)*x^3+236*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028062 7.72694 [-2*(-13+236*x+2310*x^3-1329*x^2)/(7*x-1)/(-1+3*x)/(5*x-1)/(11*x-1) lgdogf] A028062 9.14581 [1/(7*x-1)/(3*x-1)/(5*x-1)/(11*x-1) ogf] A028063 3.39986 [(5896115428332679*f(x)+1624114560096000)*(1260*f(x)*x^4-957*f(x)*x^3+251*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028063 8.05694 [-(-27+502*x+5040*x^3-2871*x^2)/(12*x-1)/(-1+3*x)/(7*x-1)/(5*x-1) lgdogf] A028063 9.24521 [1/(12*x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A028064 3.72451 [(4415796119999*f(x)+1422012672000)*(1080*f(x)*x^4-831*f(x)*x^3+223*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028064 8.49046 [-(-25+446*x+4320*x^3-2493*x^2)/(-1+3*x)/(-1+9*x)/(8*x-1)/(5*x-1) lgdogf] A028064 9.73598 [1/(3*x-1)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A028065 3.65125 [(1259202337*f(x)+368133120)*(1200*f(x)*x^4-910*f(x)*x^3+239*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028065 7.68401 [-2*(-13+239*x+2400*x^3-1365*x^2)/(-1+3*x)/(8*x-1)/(5*x-1)/(10*x-1) lgdogf] A028065 9.09609 [1/(3*x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A028066 3.23546 [(16916755419806375429*f(x)+4522086397939968000)*(1320*f(x)*x^4-989*f(x)*x^3+255*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028066 8.01267 [-3*(-9+170*x+1760*x^3-989*x^2)/(-1+3*x)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A028066 9.19551 [1/(3*x-1)/(5*x-1)/(11*x-1)/(8*x-1) ogf] A028067 3.59895 [(842871059789*f(x)+207350784000)*(1440*f(x)*x^4-1068*f(x)*x^3+271*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028067 8.27477 [-2*(6*x-1)*(480*x^2-187*x+14)/(12*x-1)/(-1+3*x)/(8*x-1)/(5*x-1) lgdogf] A028067 9.18350 [1/(12*x-1)/(3*x-1)/(8*x-1)/(5*x-1) ogf] A028068 3.63989 [(4522891219*f(x)+1190365632)*(1350*f(x)*x^4-1005*f(x)*x^3+257*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028068 7.88940 [-(-27+514*x+5400*x^3-3015*x^2)/(-1+3*x)/(-1+9*x)/(5*x-1)/(10*x-1) lgdogf] A028068 9.03697 [1/(3*x-1)/(9*x-1)/(5*x-1)/(10*x-1) ogf] A028069 3.4443 [(296358328885169*f(x)+71291950871625)*(1485*f(x)*x^4-1092*f(x)*x^3+274*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028069 7.93299 [-4*(-7+137*x+1485*x^3-819*x^2)/(-1+9*x)/(-1+3*x)/(5*x-1)/(11*x-1) lgdogf] A028069 9.08581 [1/(9*x-1)/(3*x-1)/(5*x-1)/(11*x-1) ogf] A028070 3.59381 [(1231498663081*f(x)+272551392000)*(1620*f(x)*x^4-1179*f(x)*x^3+291*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028070 8.06375 [-(-29+582*x+6480*x^3-3537*x^2)/(12*x-1)/(-1+3*x)/(-1+9*x)/(5*x-1) lgdogf] A028070 9.23236 [1/(12*x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A028071 3.48992 [(26488242231133*f(x)+5778715599360)*(1650*f(x)*x^4-1195*f(x)*x^3+293*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028071 7.93299 [-(-29+586*x+6600*x^3-3585*x^2)/(-1+3*x)/(5*x-1)/(10*x-1)/(11*x-1) lgdogf] A028071 9.08581 [1/(3*x-1)/(5*x-1)/(10*x-1)/(11*x-1) ogf] A028072 3.31547 [(1182317411*f(x)+237242880)*(1800*f(x)*x^4-1290*f(x)*x^3+311*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028072 6.91078 [-2*(-15+311*x+3600*x^3-1935*x^2)/(12*x-1)/(-1+3*x)/(5*x-1)/(10*x-1) lgdogf] A028072 8.17436 [1/(12*x-1)/(3*x-1)/(5*x-1)/(10*x-1) ogf] A028073 3.07473 [(6531732174953299*f(x)+1197060128352000)*(1980*f(x)*x^4-1401*f(x)*x^3+331*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028073 7.20873 [-(-31+662*x+7920*x^3-4203*x^2)/(-1+3*x)/(5*x-1)/(12*x-1)/(11*x-1) lgdogf] A028073 8.26997 [1/(3*x-1)/(5*x-1)/(12*x-1)/(11*x-1) ogf] A028074 3.70511 [(3145449471571*f(x)+1128271334400)*(1008*f(x)*x^4-774*f(x)*x^3+209*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028074 8.31537 [-2*(-12+209*x+2016*x^3-1161*x^2)/(6*x-1)/(-1+3*x)/(8*x-1)/(7*x-1) lgdogf] A028074 9.68528 [1/(6*x-1)/(3*x-1)/(8*x-1)/(7*x-1) ogf] A028075 5.35416 [(47381485943*f(x)+15311322432)*(1134*f(x)*x^4-855*f(x)*x^3+225*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028075 8.49046 [-(-25+450*x+4536*x^3-2565*x^2)/(6*x-1)/(-1+3*x)/(7*x-1)/(-1+9*x) lgdogf] A028075 9.73598 [1/(6*x-1)/(3*x-1)/(7*x-1)/(9*x-1) ogf] A028076 11.5711 [1/(6*x-1)/(3*x-1)/(7*x-1)/(10*x-1) ogf] A028076 4.5175 [(258824106871*f(x)+75915504000)*(1260*f(x)*x^4-936*f(x)*x^3+241*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028076 9.81480 [-2*(-13+241*x+2520*x^3-1404*x^2)/(6*x-1)/(-1+3*x)/(7*x-1)/(10*x-1) lgdogf] A028077 3.42578 [(190315081137697*f(x)+51028497628416)*(1386*f(x)*x^4-1017*f(x)*x^3+257*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028077 8.01267 [-(-27+514*x+5544*x^3-3051*x^2)/(6*x-1)/(7*x-1)/(-1+3*x)/(11*x-1) lgdogf] A028077 9.03697 [1/(6*x-1)/(7*x-1)/(3*x-1)/(11*x-1) ogf] A028078 11.6762 [1/(12*x-1)/(6*x-1)/(3*x-1)/(7*x-1) ogf] A028078 4.6385 [(61877809873*f(x)+15265157376)*(1512*f(x)*x^4-1098*f(x)*x^3+273*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028078 7.85572 [-2*(-14+273*x+3024*x^3-1647*x^2)/(12*x-1)/(6*x-1)/(-1+3*x)/(7*x-1) lgdogf] A028079 3.85383 [(21645788021*f(x)+6249581568)*(1296*f(x)*x^4-954*f(x)*x^3+243*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028079 8.23318 [-2*(-13+243*x+2592*x^3-1431*x^2)/(6*x-1)/(-1+3*x)/(-1+9*x)/(8*x-1) lgdogf] A028079 9.73598 [1/(6*x-1)/(3*x-1)/(9*x-1)/(8*x-1) ogf] A028080 3.56561 [(245876150861*f(x)+64397376000)*(1440*f(x)*x^4-1044*f(x)*x^3+260*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028080 8.01267 [-(-27+520*x+5760*x^3-3132*x^2)/(6*x-1)/(-1+3*x)/(8*x-1)/(10*x-1) lgdogf] A028080 9.03697 [1/(6*x-1)/(3*x-1)/(8*x-1)/(10*x-1) ogf] A028081 3.53676 [(2814022152947*f(x)+673410186240)*(1584*f(x)*x^4-1134*f(x)*x^3+277*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028081 7.81279 [-2*(-14+277*x+3168*x^3-1701*x^2)/(6*x-1)/(-1+3*x)/(11*x-1)/(8*x-1) lgdogf] A028081 9.08581 [1/(6*x-1)/(3*x-1)/(11*x-1)/(8*x-1) ogf] A028082 3.93733 [(802591*f(x)+176640)*(1728*f(x)*x^4-1224*f(x)*x^3+294*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028082 8.18975 [-(-29+588*x+6912*x^3-3672*x^2)/(12*x-1)/(6*x-1)/(-1+3*x)/(8*x-1) lgdogf] A028082 9.23236 [1/(12*x-1)/(6*x-1)/(3*x-1)/(8*x-1) ogf] A028083 3.61479 [(11564931653*f(x)+2724111000)*(1620*f(x)*x^4-1152*f(x)*x^3+279*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028083 7.65390 [-2*(-14+279*x+3240*x^3-1728*x^2)/(6*x-1)/(-1+3*x)/(-1+9*x)/(10*x-1) lgdogf] A028083 9.03697 [1/(6*x-1)/(3*x-1)/(9*x-1)/(10*x-1) ogf] A028084 3.48992 [(22233735391027*f(x)+4783158350784)*(1782*f(x)*x^4-1251*f(x)*x^3+297*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028084 7.93299 [-(-29+594*x+7128*x^3-3753*x^2)/(-1+9*x)/(6*x-1)/(-1+3*x)/(11*x-1) lgdogf] A028084 9.08581 [1/(9*x-1)/(6*x-1)/(3*x-1)/(11*x-1) ogf] A028085 3.39094 [(28342193*f(x)+5605632)*(1944*f(x)*x^4-1350*f(x)*x^3+315*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028085 7.08077 [-6*(-5+105*x+1296*x^3-675*x^2)/(6*x-1)/(-1+3*x)/(12*x-1)/(-1+9*x) lgdogf] A028085 8.12655 [1/(6*x-1)/(3*x-1)/(12*x-1)/(9*x-1) ogf] A028086 3.50424 [(63116416385761*f(x)+12302097588000)*(1980*f(x)*x^4-1368*f(x)*x^3+317*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028086 7.78076 [-2*(-15+317*x+3960*x^3-2052*x^2)/(6*x-1)/(-1+3*x)/(10*x-1)/(11*x-1) lgdogf] A028086 9.18350 [1/(6*x-1)/(3*x-1)/(10*x-1)/(11*x-1) ogf] A028087 3.35425 [(4827140021*f(x)+864744000)*(2160*f(x)*x^4-1476*f(x)*x^3+336*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028087 7.20873 [-(-31+672*x+8640*x^3-4428*x^2)/(12*x-1)/(6*x-1)/(-1+3*x)/(10*x-1) lgdogf] A028087 8.26997 [1/(12*x-1)/(6*x-1)/(3*x-1)/(10*x-1) ogf] A028088 3.23779 [(1159832166197*f(x)+189596073216)*(2376*f(x)*x^4-1602*f(x)*x^3+357*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028088 7.03493 [-2*(-16+357*x+4752*x^3-2403*x^2)/(6*x-1)/(-1+3*x)/(12*x-1)/(11*x-1) lgdogf] A028088 8.31778 [1/(6*x-1)/(3*x-1)/(12*x-1)/(11*x-1) ogf] A028089 3.26632 [(15717944620079207*f(x)+4031608701302784)*(1512*f(x)*x^4-1077*f(x)*x^3+263*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028089 7.83560 [-(-27+526*x+6048*x^3-3231*x^2)/(-1+3*x)/(-1+9*x)/(8*x-1)/(7*x-1) lgdogf] A028089 8.84157 [1/(3*x-1)/(9*x-1)/(8*x-1)/(7*x-1) ogf] A028090 3.31737 [(48671604875359559*f(x)+11315796895872000)*(1680*f(x)*x^4-1178*f(x)*x^3+281*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028090 7.76986 [-2*(-14+281*x+3360*x^3-1767*x^2)/(-1+3*x)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A028090 9.03697 [1/(3*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A028091 3.1938 [(128635516471469509423*f(x)+27306633329185351680)*(1848*f(x)*x^4-1279*f(x)*x^3+299*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028091 8.05694 [-(-29+598*x+7392*x^3-3837*x^2)/(7*x-1)/(-1+3*x)/(11*x-1)/(8*x-1) lgdogf] A028091 9.08581 [1/(7*x-1)/(3*x-1)/(11*x-1)/(8*x-1) ogf] A028092 3.2064 [(256174836511*f(x)+49983123456)*(2016*f(x)*x^4-1380*f(x)*x^3+317*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028092 6.97348 [-2*(-15+317*x+4032*x^3-2070*x^2)/(12*x-1)/(-1+3*x)/(8*x-1)/(7*x-1) lgdogf] A028092 8.12655 [1/(12*x-1)/(3*x-1)/(8*x-1)/(7*x-1) ogf] A028093 3.3353 [(67111405474247497*f(x)+14018032228032000)*(1890*f(x)*x^4-1299*f(x)*x^3+301*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028093 7.93299 [-(-29+602*x+7560*x^3-3897*x^2)/(-1+3*x)/(-1+9*x)/(7*x-1)/(10*x-1) lgdogf] A028093 9.08581 [1/(3*x-1)/(9*x-1)/(7*x-1)/(10*x-1) ogf] A028094 3.37806 [(6298001992320499*f(x)+1200580141557951)*(2079*f(x)*x^4-1410*f(x)*x^3+320*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028094 7.69618 [-2*(-15+320*x+4158*x^3-2115*x^2)/(11*x-1)/(-1+3*x)/(7*x-1)/(-1+9*x) lgdogf] A028094 9.08581 [1/(11*x-1)/(3*x-1)/(7*x-1)/(9*x-1) ogf] A028095 3.1169 [(102738800541553*f(x)+17994173379840)*(2268*f(x)*x^4-1521*f(x)*x^3+339*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028095 7.16608 [-(-31+678*x+9072*x^3-4563*x^2)/(12*x-1)/(-1+3*x)/(-1+9*x)/(7*x-1) lgdogf] A028095 8.22216 [1/(12*x-1)/(3*x-1)/(9*x-1)/(7*x-1) ogf] A028096 3.26249 [(549005852232130682621*f(x)+94730844506266584000)*(2310*f(x)*x^4-1541*f(x)*x^3+341*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028096 8.10734 [-(-31+682*x+9240*x^3-4623*x^2)/(7*x-1)/(-1+3*x)/(10*x-1)/(11*x-1) lgdogf] A028096 9.28121 [1/(7*x-1)/(3*x-1)/(10*x-1)/(11*x-1) ogf] A028097 3.09457 [(3498220417640113*f(x)+554407814016000)*(2520*f(x)*x^4-1662*f(x)*x^3+361*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028097 6.99355 [-2*(-16+361*x+5040*x^3-2493*x^2)/(12*x-1)/(-1+3*x)/(7*x-1)/(10*x-1) lgdogf] A028097 8.26997 [1/(12*x-1)/(3*x-1)/(7*x-1)/(10*x-1) ogf] A028098 3.03252 [(840289586438171953*f(x)+121418459802452736)*(2772*f(x)*x^4-1803*f(x)*x^3+383*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028098 7.18353 [-(-33+766*x+11088*x^3-5409*x^2)/(7*x-1)/(-1+3*x)/(12*x-1)/(11*x-1) lgdogf] A028098 8.36557 [1/(7*x-1)/(3*x-1)/(12*x-1)/(11*x-1) ogf] A028099 3.39986 [(1223774609091001*f(x)+227546008704000)*(2160*f(x)*x^4-1446*f(x)*x^3+323*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028099 7.69618 [-2*(-15+323*x+4320*x^3-2169*x^2)/(-1+3*x)/(-1+9*x)/(8*x-1)/(10*x-1) lgdogf] A028099 9.08581 [1/(3*x-1)/(9*x-1)/(8*x-1)/(10*x-1) ogf] A028100 3.45469 [(4387369012250353*f(x)+744037734426624)*(2376*f(x)*x^4-1569*f(x)*x^3+343*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028100 8.06375 [-(-31+686*x+9504*x^3-4707*x^2)/(-1+9*x)/(-1+3*x)/(11*x-1)/(8*x-1) lgdogf] A028100 9.23236 [1/(9*x-1)/(3*x-1)/(11*x-1)/(8*x-1) ogf] A028101 3.30799 [(14632219019*f(x)+2278637568)*(2592*f(x)*x^4-1692*f(x)*x^3+363*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028101 6.99355 [-2*(-16+363*x+5184*x^3-2538*x^2)/(12*x-1)/(-1+3*x)/(-1+9*x)/(8*x-1) lgdogf] A028101 8.26997 [1/(12*x-1)/(3*x-1)/(9*x-1)/(8*x-1) ogf] A028102 10.1517 [-2*(-16+365*x+5280*x^3-2571*x^2)/(-1+3*x)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A028102 11.9301 [1/(3*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A028102 4.24505 [(10007404240664503793*f(x)+1534929841957248000)*(2640*f(x)*x^4-1714*f(x)*x^3+365*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028103 3.32711 [(45283581163*f(x)+6375744000)*(2880*f(x)*x^4-1848*f(x)*x^3+386*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028103 7.60226 [-(96*x-11)*(120*x^2-44*x+3)/(12*x-1)/(-1+3*x)/(8*x-1)/(10*x-1) lgdogf] A028103 8.31778 [1/(12*x-1)/(3*x-1)/(8*x-1)/(10*x-1) ogf] A028104 3.17126 [(119633638910771*f(x)+15346613145600)*(3168*f(x)*x^4-2004*f(x)*x^3+409*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028104 7.07631 [-2*(-17+409*x+6336*x^3-3006*x^2)/(-1+3*x)/(12*x-1)/(11*x-1)/(8*x-1) lgdogf] A028104 8.36557 [1/(3*x-1)/(12*x-1)/(11*x-1)/(8*x-1) ogf] A028105 2.97924 [(1253510502647548229*f(x)+172236668055408000)*(2970*f(x)*x^4-1887*f(x)*x^3+389*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028105 6.99355 [-(-33+778*x+11880*x^3-5661*x^2)/(-1+9*x)/(-1+3*x)/(10*x-1)/(11*x-1) lgdogf] A028105 8.26997 [1/(9*x-1)/(3*x-1)/(10*x-1)/(11*x-1) ogf] A028106 3.23469 [(7985885652437*f(x)+1006800192000)*(3240*f(x)*x^4-2034*f(x)*x^3+411*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028106 6.97225 [-2*(-17+411*x+6480*x^3-3051*x^2)/(12*x-1)/(-1+3*x)/(-1+9*x)/(10*x-1) lgdogf] A028106 8.36557 [1/(12*x-1)/(3*x-1)/(9*x-1)/(10*x-1) ogf] A028107 3.23163 [(54794930923303*f(x)+6290421679872)*(3564*f(x)*x^4-2205*f(x)*x^3+435*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028107 7.11769 [-(-35+870*x+14256*x^3-6615*x^2)/(11*x-1)/(-1+3*x)/(12*x-1)/(-1+9*x) lgdogf] A028107 8.41338 [1/(11*x-1)/(3*x-1)/(12*x-1)/(9*x-1) ogf] A028108 3.14823 [(9324596806655363*f(x)+966149091072000)*(3960*f(x)*x^4-2406*f(x)*x^3+461*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028108 7.01302 [-2*(-18+461*x+7920*x^3-3609*x^2)/(-1+3*x)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A028108 8.41338 [1/(3*x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A028110 3.72185 [(412911531989*f(x)+291326976000)*(960*f(x)*x^4-712*f(x)*x^3+194*f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A028110 8.57787 [-(-23+388*x+3840*x^3-2136*x^2)/(6*x-1)/(4*x-1)/(8*x-1)/(5*x-1) lgdogf] A028110 9.70339 [1/(6*x-1)/(4*x-1)/(8*x-1)/(5*x-1) ogf] A028111 3.72451 [(6510950373191*f(x)+4202290368000)*(1080*f(x)*x^4-786*f(x)*x^3+209*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028111 8.35984 [-2*(-12+209*x+2160*x^3-1179*x^2)/(6*x-1)/(4*x-1)/(-1+9*x)/(5*x-1) lgdogf] A028111 9.73598 [1/(6*x-1)/(4*x-1)/(9*x-1)/(5*x-1) ogf] A028112 4.05074 [(5236033*f(x)+3101760)*(1200*f(x)*x^4-860*f(x)*x^3+224*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028112 8.62523 [-(-25+448*x+4800*x^3-2580*x^2)/(6*x-1)/(4*x-1)/(5*x-1)/(10*x-1) lgdogf] A028112 9.73598 [1/(6*x-1)/(4*x-1)/(5*x-1)/(10*x-1) ogf] A028113 3.32045 [(52044736703136983*f(x)+28422158155776000)*(1320*f(x)*x^4-934*f(x)*x^3+239*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028113 7.84581 [-2*(-13+239*x+2640*x^3-1401*x^2)/(6*x-1)/(5*x-1)/(4*x-1)/(11*x-1) lgdogf] A028113 9.14581 [1/(6*x-1)/(5*x-1)/(4*x-1)/(11*x-1) ogf] A028114 3.69116 [(428347513*f(x)+216648000)*(1440*f(x)*x^4-1008*f(x)*x^3+254*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028114 8.13986 [-(-27+508*x+5760*x^3-3024*x^2)/(12*x-1)/(6*x-1)/(4*x-1)/(5*x-1) lgdogf] A028114 9.03697 [1/(12*x-1)/(6*x-1)/(4*x-1)/(5*x-1) ogf] A028115 3.70511 [(3978795974357*f(x)+2596087424000)*(1120*f(x)*x^4-804*f(x)*x^3+211*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A028115 8.44530 [-2*(-12+211*x+2240*x^3-1206*x^2)/(4*x-1)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A028115 9.68528 [1/(4*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A028116 12.2457 [1/(4*x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A028116 4.38997 [(410694681031075213*f(x)+245253002897952000)*(1260*f(x)*x^4-887*f(x)*x^3+227*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028116 8.62523 [-(-25+454*x+5040*x^3-2661*x^2)/(4*x-1)/(-1+9*x)/(7*x-1)/(5*x-1) lgdogf] A028117 3.53181 [(177459626201*f(x)+97282922240)*(1400*f(x)*x^4-970*f(x)*x^3+243*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028117 7.75864 [-2*(-13+243*x+2800*x^3-1455*x^2)/(4*x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A028117 9.04639 [1/(4*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A028118 3.2759 [(609821087569651591*f(x)+308193244347296000)*(1540*f(x)*x^4-1053*f(x)*x^3+259*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028118 8.13986 [-(-27+518*x+6160*x^3-3159*x^2)/(7*x-1)/(5*x-1)/(4*x-1)/(11*x-1) lgdogf] A028118 9.03697 [1/(7*x-1)/(5*x-1)/(4*x-1)/(11*x-1) ogf] A028119 3.50868 [(13879465767673*f(x)+6495986062125)*(1680*f(x)*x^4-1136*f(x)*x^3+275*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028119 7.97658 [-2*(-14+275*x+3360*x^3-1704*x^2)/(12*x-1)/(4*x-1)/(7*x-1)/(5*x-1) lgdogf] A028119 9.13466 [1/(12*x-1)/(4*x-1)/(7*x-1)/(5*x-1) ogf] A028120 3.67517 [(48038002284151*f(x)+26274139776000)*(1440*f(x)*x^4-988*f(x)*x^3+245*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028120 8.76435 [-2*(6*x-1)*(480*x^2-167*x+13)/(4*x-1)/(-1+9*x)/(8*x-1)/(5*x-1) lgdogf] A028120 9.73598 [1/(4*x-1)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A028121 3.86156 [(181533*f(x)+91136)*(1600*f(x)*x^4-1080*f(x)*x^3+262*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028121 8.09489 [-(-27+524*x+6400*x^3-3240*x^2)/(4*x-1)/(8*x-1)/(5*x-1)/(10*x-1) lgdogf] A028121 8.98812 [1/(4*x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A028122 3.37806 [(2272177615753337*f(x)+1051434800768000)*(1760*f(x)*x^4-1172*f(x)*x^3+279*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028122 7.93299 [-2*(-14+279*x+3520*x^3-1758*x^2)/(5*x-1)/(4*x-1)/(11*x-1)/(8*x-1) lgdogf] A028122 9.08581 [1/(5*x-1)/(4*x-1)/(11*x-1)/(8*x-1) ogf] A028123 3.59895 [(245030247979*f(x)+104984208000)*(1920*f(x)*x^4-1264*f(x)*x^3+296*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028123 8.27477 [-(-29+592*x+7680*x^3-3792*x^2)/(12*x-1)/(4*x-1)/(8*x-1)/(5*x-1) lgdogf] A028123 9.18350 [1/(12*x-1)/(4*x-1)/(8*x-1)/(5*x-1) ogf] A028124 3.56561 [(120103243513*f(x)+55165121280)*(1800*f(x)*x^4-1190*f(x)*x^3+281*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028124 7.76986 [-2*(-14+281*x+3600*x^3-1785*x^2)/(4*x-1)/(-1+9*x)/(5*x-1)/(10*x-1) lgdogf] A028124 9.03697 [1/(4*x-1)/(9*x-1)/(5*x-1)/(10*x-1) ogf] A028125 3.21328 [(77911887825663392011*f(x)+32977256862657888000)*(1980*f(x)*x^4-1291*f(x)*x^3+299*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028125 8.05694 [-(-29+598*x+7920*x^3-3873*x^2)/(-1+9*x)/(5*x-1)/(4*x-1)/(11*x-1) lgdogf] A028125 9.08581 [1/(9*x-1)/(5*x-1)/(4*x-1)/(11*x-1) ogf] A028126 3.22836 [(43641221027*f(x)+17098938000)*(2160*f(x)*x^4-1392*f(x)*x^3+317*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028126 6.97348 [-2*(-15+317*x+4320*x^3-2088*x^2)/(12*x-1)/(4*x-1)/(-1+9*x)/(5*x-1) lgdogf] A028126 8.12655 [1/(12*x-1)/(4*x-1)/(9*x-1)/(5*x-1) ogf] A028127 3.55578 [(1017740492671*f(x)+395115761920)*(2200*f(x)*x^4-1410*f(x)*x^3+319*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028127 7.85572 [-2*(-15+319*x+4400*x^3-2115*x^2)/(5*x-1)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A028127 9.13466 [1/(5*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A028128 3.43083 [(14957407*f(x)+5374080)*(2400*f(x)*x^4-1520*f(x)*x^3+338*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028128 7.27805 [-(-31+676*x+9600*x^3-4560*x^2)/(12*x-1)/(4*x-1)/(5*x-1)/(10*x-1) lgdogf] A028128 8.22216 [1/(12*x-1)/(4*x-1)/(5*x-1)/(10*x-1) ogf] A028129 3.11245 [(1904574647719243*f(x)+630149868513000)*(2640*f(x)*x^4-1648*f(x)*x^3+359*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028129 7.14152 [-2*(-16+359*x+5280*x^3-2472*x^2)/(5*x-1)/(12*x-1)/(4*x-1)/(11*x-1) lgdogf] A028129 8.31778 [1/(5*x-1)/(12*x-1)/(4*x-1)/(11*x-1) ogf] A028130 3.80104 [(109106319223*f(x)+69398525952)*(1344*f(x)*x^4-920*f(x)*x^3+230*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A028130 9.36879 [-(32*x-5)*(168*x^2-60*x+5)/(6*x-1)/(8*x-1)/(7*x-1)/(4*x-1) lgdogf] A028130 9.73598 [1/(6*x-1)/(8*x-1)/(7*x-1)/(4*x-1) ogf] A028131 3.80104 [(53838655189*f(x)+31408570368)*(1512*f(x)*x^4-1014*f(x)*x^3+247*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028131 8.35984 [-2*(-13+247*x+3024*x^3-1521*x^2)/(6*x-1)/(4*x-1)/(-1+9*x)/(7*x-1) lgdogf] A028131 9.56812 [1/(6*x-1)/(4*x-1)/(9*x-1)/(7*x-1) ogf] A028132 3.3633 [(1427488784654713*f(x)+765449284824000)*(1680*f(x)*x^4-1108*f(x)*x^3+264*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028132 7.96840 [-3*(-9+176*x+2240*x^3-1108*x^2)/(6*x-1)/(4*x-1)/(7*x-1)/(10*x-1) lgdogf] A028132 8.98812 [1/(6*x-1)/(4*x-1)/(7*x-1)/(10*x-1) ogf] A028133 3.2759 [(338135947796028157*f(x)+167281866427737600)*(1848*f(x)*x^4-1202*f(x)*x^3+281*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028133 7.88940 [-2*(-14+281*x+3696*x^3-1803*x^2)/(6*x-1)/(7*x-1)/(4*x-1)/(11*x-1) lgdogf] A028133 9.03697 [1/(6*x-1)/(7*x-1)/(4*x-1)/(11*x-1) ogf] A028134 4.7899 [(924846989*f(x)+423915072)*(2016*f(x)*x^4-1296*f(x)*x^3+298*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028134 8.27477 [-(-29+596*x+8064*x^3-3888*x^2)/(12*x-1)/(6*x-1)/(4*x-1)/(7*x-1) lgdogf] A028134 9.18350 [1/(12*x-1)/(6*x-1)/(4*x-1)/(7*x-1) ogf] A028135 3.93412 [(5854309571*f(x)+3140259840)*(1728*f(x)*x^4-1128*f(x)*x^3+266*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028135 8.80875 [-(-27+532*x+6912*x^3-3384*x^2)/(6*x-1)/(4*x-1)/(-1+9*x)/(8*x-1) lgdogf] A028135 9.76747 [1/(6*x-1)/(4*x-1)/(9*x-1)/(8*x-1) ogf] A028136 3.59003 [(27931366199*f(x)+13769568000)*(1920*f(x)*x^4-1232*f(x)*x^3+284*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028136 8.13986 [-4*(-7+142*x+1920*x^3-924*x^2)/(6*x-1)/(4*x-1)/(8*x-1)/(10*x-1) lgdogf] A028136 9.03697 [1/(6*x-1)/(4*x-1)/(8*x-1)/(10*x-1) ogf] A028137 3.46696 [(46275499056299*f(x)+21042904025088)*(2112*f(x)*x^4-1336*f(x)*x^3+302*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028137 8.18483 [-(-29+604*x+8448*x^3-4008*x^2)/(6*x-1)/(4*x-1)/(11*x-1)/(8*x-1) lgdogf] A028137 9.08581 [1/(6*x-1)/(4*x-1)/(11*x-1)/(8*x-1) ogf] A028138 3.9665 [(151789*f(x)+63936)*(2304*f(x)*x^4-1440*f(x)*x^3+320*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028138 8.06375 [-2*(-15+320*x+4608*x^3-2160*x^2)/(6*x-1)/(8*x-1)/(12*x-1)/(4*x-1) lgdogf] A028138 9.23236 [1/(6*x-1)/(8*x-1)/(12*x-1)/(4*x-1) ogf] A028139 3.51318 [(3049945097837*f(x)+1378542888000)*(2160*f(x)*x^4-1356*f(x)*x^3+304*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028139 8.05694 [-(-29+608*x+8640*x^3-4068*x^2)/(6*x-1)/(4*x-1)/(-1+9*x)/(10*x-1) lgdogf] A028139 9.08581 [1/(6*x-1)/(4*x-1)/(9*x-1)/(10*x-1) ogf] A028140 3.46696 [(28859349513833*f(x)+12028685442048)*(2376*f(x)*x^4-1470*f(x)*x^3+323*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028140 7.81279 [-2*(-15+323*x+4752*x^3-2205*x^2)/(-1+9*x)/(6*x-1)/(4*x-1)/(11*x-1) lgdogf] A028140 9.08581 [1/(9*x-1)/(6*x-1)/(4*x-1)/(11*x-1) ogf] A028141 3.43083 [(17742197*f(x)+6848064)*(2592*f(x)*x^4-1584*f(x)*x^3+342*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028141 7.16608 [-(-31+684*x+10368*x^3-4752*x^2)/(12*x-1)/(6*x-1)/(4*x-1)/(-1+9*x) lgdogf] A028141 8.22216 [1/(12*x-1)/(6*x-1)/(4*x-1)/(9*x-1) ogf] A028142 3.42873 [(24058096941539741*f(x)+9207925050456000)*(2640*f(x)*x^4-1604*f(x)*x^3+344*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028142 8.10734 [-(-31+688*x+10560*x^3-4812*x^2)/(6*x-1)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A028142 9.28121 [1/(6*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A028143 3.50115 [(2738263*f(x)+970250)*(2880*f(x)*x^4-1728*f(x)*x^3+364*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028143 7.43758 [-8*(-4+91*x+1440*x^3-648*x^2)/(12*x-1)/(6*x-1)/(4*x-1)/(10*x-1) lgdogf] A028143 8.26997 [1/(12*x-1)/(6*x-1)/(4*x-1)/(10*x-1) ogf] A028144 3.30432 [(46601765179*f(x)+15214288320)*(3168*f(x)*x^4-1872*f(x)*x^3+386*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028144 7.25139 [-(-33+772*x+12672*x^3-5616*x^2)/(6*x-1)/(12*x-1)/(4*x-1)/(11*x-1) lgdogf] A028144 8.31778 [1/(6*x-1)/(12*x-1)/(4*x-1)/(11*x-1) ogf] A028145 3.3599 [(3963191414664449*f(x)+1990651036050432)*(2016*f(x)*x^4-1268*f(x)*x^3+287*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028145 7.88940 [-2*(-14+287*x+4032*x^3-1902*x^2)/(4*x-1)/(-1+9*x)/(8*x-1)/(7*x-1) lgdogf] A028145 9.03697 [1/(4*x-1)/(9*x-1)/(8*x-1)/(7*x-1) ogf] A028146 3.46696 [(60395841613217*f(x)+27885318272000)*(2240*f(x)*x^4-1384*f(x)*x^3+306*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028146 8.18483 [-(-29+612*x+8960*x^3-4152*x^2)/(4*x-1)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A028146 9.08581 [1/(4*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A028147 3.42193 [(951515906758981*f(x)+405223424134144)*(2464*f(x)*x^4-1500*f(x)*x^3+325*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028147 7.93299 [-2*(-15+325*x+4928*x^3-2250*x^2)/(11*x-1)/(8*x-1)/(7*x-1)/(4*x-1) lgdogf] A028147 9.08581 [1/(11*x-1)/(8*x-1)/(7*x-1)/(4*x-1) ogf] A028148 3.18196 [(1534036944737*f(x)+605061878400)*(2688*f(x)*x^4-1616*f(x)*x^3+344*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028148 7.23473 [-(-31+688*x+10752*x^3-4848*x^2)/(12*x-1)/(4*x-1)/(8*x-1)/(7*x-1) lgdogf] A028148 8.17436 [1/(12*x-1)/(4*x-1)/(8*x-1)/(7*x-1) ogf] A028149 3.27315 [(2054143158459065861*f(x)+869994192164832000)*(2520*f(x)*x^4-1522*f(x)*x^3+327*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028149 8.05694 [-6*(-5+109*x+1680*x^3-761*x^2)/(4*x-1)/(-1+9*x)/(7*x-1)/(10*x-1) lgdogf] A028149 9.08581 [1/(4*x-1)/(9*x-1)/(7*x-1)/(10*x-1) ogf] A028150 3.19163 [(485175054981902266937*f(x)+189471552070733501184)*(2772*f(x)*x^4-1649*f(x)*x^3+347*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028150 7.97658 [-(-31+694*x+11088*x^3-4947*x^2)/(-1+9*x)/(7*x-1)/(4*x-1)/(11*x-1) lgdogf] A028150 9.13466 [1/(9*x-1)/(7*x-1)/(4*x-1)/(11*x-1) ogf] A028151 10.3055 [-2*(-16+367*x+6048*x^3-2664*x^2)/(12*x-1)/(4*x-1)/(-1+9*x)/(7*x-1) lgdogf] A028151 11.9301 [1/(12*x-1)/(4*x-1)/(9*x-1)/(7*x-1) ogf] A028151 4.64391 [(1489654536073*f(x)+538604571960)*(3024*f(x)*x^4-1776*f(x)*x^3+367*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028152 10.2609 [-2*(-16+369*x+6160*x^3-2697*x^2)/(7*x-1)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A028152 11.8793 [1/(7*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A028152 4.25308 [(7381797896943910079*f(x)+2647133146166432000)*(3080*f(x)*x^4-1798*f(x)*x^3+369*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028153 3.17388 [(36039784217609*f(x)+11961655776000)*(3360*f(x)*x^4-1936*f(x)*x^3+390*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028153 7.48159 [-3*(8*x-1)*(560*x^2-172*x+11)/(12*x-1)/(4*x-1)/(7*x-1)/(10*x-1) lgdogf] A028153 8.31778 [1/(12*x-1)/(4*x-1)/(7*x-1)/(10*x-1) ogf] A028154 3.09047 [(23390687986048249*f(x)+7151240938664592)*(3696*f(x)*x^4-2096*f(x)*x^3+413*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028154 7.18353 [-2*(-17+413*x+7392*x^3-3144*x^2)/(7*x-1)/(12*x-1)/(4*x-1)/(11*x-1) lgdogf] A028154 8.36557 [1/(7*x-1)/(12*x-1)/(4*x-1)/(11*x-1) ogf] A028155 3.42193 [(278768034671071*f(x)+108712119168000)*(2880*f(x)*x^4-1688*f(x)*x^3+350*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028155 7.93299 [-(-31+700*x+11520*x^3-5064*x^2)/(4*x-1)/(-1+9*x)/(8*x-1)/(10*x-1) lgdogf] A028155 9.08581 [1/(4*x-1)/(9*x-1)/(8*x-1)/(10*x-1) ogf] A028156 3.40703 [(65786124468684661*f(x)+23646153717457920)*(3168*f(x)*x^4-1828*f(x)*x^3+371*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028156 7.98450 [-2*(-16+371*x+6336*x^3-2742*x^2)/(-1+9*x)/(4*x-1)/(11*x-1)/(8*x-1) lgdogf] A028156 9.28121 [1/(9*x-1)/(4*x-1)/(11*x-1)/(8*x-1) ogf] A028157 3.33096 [(3229695293*f(x)+1074363264)*(3456*f(x)*x^4-1968*f(x)*x^3+392*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028157 7.55754 [-(32*x-3)*(432*x^2-144*x+11)/(12*x-1)/(4*x-1)/(-1+9*x)/(8*x-1) lgdogf] A028157 8.26997 [1/(12*x-1)/(4*x-1)/(9*x-1)/(8*x-1) ogf] A028158 4.64391 [(2044405187021*f(x)+674486912000)*(3520*f(x)*x^4-1992*f(x)*x^3+394*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028158 7.16608 [-(-33+788*x+14080*x^3-5976*x^2)/(10*x-1)/(4*x-1)/(11*x-1)/(8*x-1) lgdogf] A028158 8.22216 [1/(10*x-1)/(4*x-1)/(11*x-1)/(8*x-1) ogf] A028159 3.28184 [(107310418303*f(x)+32752728000)*(3840*f(x)*x^4-2144*f(x)*x^3+416*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028159 7.14152 [-2*(-17+416*x+7680*x^3-3216*x^2)/(12*x-1)/(4*x-1)/(8*x-1)/(10*x-1) lgdogf] A028159 8.31778 [1/(12*x-1)/(4*x-1)/(8*x-1)/(10*x-1) ogf] A028160 3.23469 [(5060962451729*f(x)+1422120813696)*(4224*f(x)*x^4-2320*f(x)*x^3+440*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028160 7.29404 [-(-35+880*x+16896*x^3-6960*x^2)/(11*x-1)/(8*x-1)/(12*x-1)/(4*x-1) lgdogf] A028160 8.36557 [1/(11*x-1)/(8*x-1)/(12*x-1)/(4*x-1) ogf] A028161 2.97797 [(4837251852979870111*f(x)+1461533687485344000)*(3960*f(x)*x^4-2186*f(x)*x^3+419*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028161 7.03493 [-2*(-17+419*x+7920*x^3-3279*x^2)/(-1+9*x)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A028161 8.31778 [1/(9*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A028162 3.3007 [(118665072493*f(x)+33152976000)*(4320*f(x)*x^4-2352*f(x)*x^3+442*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028162 7.18353 [-(-35+884*x+17280*x^3-7056*x^2)/(12*x-1)/(4*x-1)/(-1+9*x)/(10*x-1) lgdogf] A028162 8.36557 [1/(12*x-1)/(4*x-1)/(9*x-1)/(10*x-1) ogf] A028163 3.23163 [(12236175385777*f(x)+3145485542364)*(4752*f(x)*x^4-2544*f(x)*x^3+467*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028163 7.11769 [-2*(-18+467*x+9504*x^3-3816*x^2)/(-1+9*x)/(12*x-1)/(4*x-1)/(11*x-1) lgdogf] A028163 8.41338 [1/(9*x-1)/(12*x-1)/(4*x-1)/(11*x-1) ogf] A028164 3.12805 [(6495249686061143*f(x)+1529278622784000)*(5280*f(x)*x^4-2768*f(x)*x^3+494*f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A028164 7.22554 [-(-37+988*x+21120*x^3-8304*x^2)/(12*x-1)/(10*x-1)/(4*x-1)/(11*x-1) lgdogf] A028164 8.41338 [1/(12*x-1)/(10*x-1)/(4*x-1)/(11*x-1) ogf] A028165 3.55738 [(7847320994852009*f(x)+6540036999552000)*(1680*f(x)*x^4-1066*f(x)*x^3+251*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A028165 8.49046 [-2*(-13+251*x+3360*x^3-1599*x^2)/(6*x-1)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A028165 9.56812 [1/(6*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A028166 3.53472 [(12204844530291391*f(x)+9478827017856000)*(1890*f(x)*x^4-1173*f(x)*x^3+269*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A028166 8.62523 [-(-27+538*x+7560*x^3-3519*x^2)/(6*x-1)/(-1+9*x)/(7*x-1)/(5*x-1) lgdogf] A028166 9.56812 [1/(6*x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A028167 3.63989 [(7559058397*f(x)+5456951640)*(2100*f(x)*x^4-1280*f(x)*x^3+287*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028167 7.88940 [-2*(-14+287*x+4200*x^3-1920*x^2)/(6*x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A028167 9.03697 [1/(6*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A028168 3.21328 [(93970228156728236083*f(x)+63102482500464792000)*(2310*f(x)*x^4-1387*f(x)*x^3+305*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028168 8.18483 [-(-29+610*x+9240*x^3-4161*x^2)/(6*x-1)/(7*x-1)/(5*x-1)/(11*x-1) lgdogf] A028168 9.08581 [1/(6*x-1)/(7*x-1)/(5*x-1)/(11*x-1) ogf] A028169 3.47713 [(195519256103303*f(x)+122400192096000)*(2520*f(x)*x^4-1494*f(x)*x^3+323*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028169 8.59252 [-2*(16*x-3)*(315*x^2-81*x+5)/(12*x-1)/(6*x-1)/(7*x-1)/(5*x-1) lgdogf] A028169 9.23236 [1/(12*x-1)/(6*x-1)/(7*x-1)/(5*x-1) ogf] A028170 3.41104 [(29525541934999*f(x)+21668570496000)*(2160*f(x)*x^4-1302*f(x)*x^3+289*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A028170 7.80222 [-2*(-14+289*x+4320*x^3-1953*x^2)/(6*x-1)/(-1+9*x)/(8*x-1)/(5*x-1) lgdogf] A028170 8.93926 [1/(6*x-1)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A028171 3.60944 [(17364715819*f(x)+11856775680)*(2400*f(x)*x^4-1420*f(x)*x^3+308*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028171 8.18483 [-(-29+616*x+9600*x^3-4260*x^2)/(6*x-1)/(8*x-1)/(5*x-1)/(10*x-1) lgdogf] A028171 9.08581 [1/(6*x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A028172 3.25295 [(1584304740954576409*f(x)+1006816691320704000)*(2640*f(x)*x^4-1538*f(x)*x^3+327*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028172 8.18483 [-6*(-5+109*x+1760*x^3-769*x^2)/(6*x-1)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A028172 9.08581 [1/(6*x-1)/(5*x-1)/(11*x-1)/(8*x-1) ogf] A028173 3.22836 [(25716321323*f(x)+15240384000)*(2880*f(x)*x^4-1656*f(x)*x^3+346*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028173 7.19141 [-(-31+692*x+11520*x^3-4968*x^2)/(12*x-1)/(6*x-1)/(8*x-1)/(5*x-1) lgdogf] A028173 8.12655 [1/(12*x-1)/(6*x-1)/(8*x-1)/(5*x-1) ogf] A028174 3.76413 [(46855201*f(x)+29898720)*(2700*f(x)*x^4-1560*f(x)*x^3+329*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028174 7.81279 [-2*(-15+329*x+5400*x^3-2340*x^2)/(6*x-1)/(-1+9*x)/(5*x-1)/(10*x-1) lgdogf] A028174 9.08581 [1/(6*x-1)/(9*x-1)/(5*x-1)/(10*x-1) ogf] A028175 3.29361 [(187866881324356307*f(x)+111592576911024000)*(2970*f(x)*x^4-1689*f(x)*x^3+349*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028175 7.93299 [-(-31+698*x+11880*x^3-5067*x^2)/(-1+9*x)/(6*x-1)/(5*x-1)/(11*x-1) lgdogf] A028175 9.08581 [1/(9*x-1)/(6*x-1)/(5*x-1)/(11*x-1) ogf] A028176 3.24412 [(167129218223*f(x)+92583648000)*(3240*f(x)*x^4-1818*f(x)*x^3+369*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028176 7.05750 [-2*(-16+369*x+6480*x^3-2727*x^2)/(12*x-1)/(6*x-1)/(-1+9*x)/(5*x-1) lgdogf] A028176 8.22216 [1/(12*x-1)/(6*x-1)/(9*x-1)/(5*x-1) ogf] A028177 3.20346 [(491444192419*f(x)+271744453530)*(3300*f(x)*x^4-1840*f(x)*x^3+371*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028177 7.01549 [-2*(-16+371*x+6600*x^3-2760*x^2)/(6*x-1)/(5*x-1)/(10*x-1)/(11*x-1) lgdogf] A028177 8.17436 [1/(6*x-1)/(5*x-1)/(10*x-1)/(11*x-1) ogf] A028178 12.0316 [1/(12*x-1)/(6*x-1)/(5*x-1)/(10*x-1) ogf] A028178 5.05675 [(2965769*f(x)+1529280)*(3600*f(x)*x^4-1980*f(x)*x^3+392*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028178 7.25139 [-(-33+784*x+14400*x^3-5940*x^2)/(12*x-1)/(6*x-1)/(5*x-1)/(10*x-1) lgdogf] A028179 4.58024 [(174542196546643*f(x)+83760617952000)*(3960*f(x)*x^4-2142*f(x)*x^3+415*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028179 7.18353 [-2*(-17+415*x+7920*x^3-3213*x^2)/(6*x-1)/(5*x-1)/(12*x-1)/(11*x-1) lgdogf] A028179 8.36557 [1/(6*x-1)/(5*x-1)/(12*x-1)/(11*x-1) ogf] A028180 3.1938 [(130535141523264196939*f(x)+94907769482873088000)*(2520*f(x)*x^4-1459*f(x)*x^3+311*f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A028180 8.05694 [-(-29+622*x+10080*x^3-4377*x^2)/(-1+9*x)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A028180 9.08581 [1/(9*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A028181 3.51318 [(1662908589529*f(x)+1127958737920)*(2800*f(x)*x^4-1590*f(x)*x^3+331*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028181 7.93299 [-2*(-15+331*x+5600*x^3-2385*x^2)/(8*x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A028181 9.08581 [1/(8*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A028182 3.17456 [(453401719628157499961*f(x)+286753509870426368000)*(3080*f(x)*x^4-1721*f(x)*x^3+351*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028182 8.05694 [-(-31+702*x+12320*x^3-5163*x^2)/(7*x-1)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A028182 9.08581 [1/(7*x-1)/(5*x-1)/(11*x-1)/(8*x-1) ogf] A028183 3.01826 [(48143615754260587*f(x)+28430085777408000)*(3360*f(x)*x^4-1852*f(x)*x^3+371*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028183 7.16608 [-2*(-16+371*x+6720*x^3-2778*x^2)/(12*x-1)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A028183 8.22216 [1/(12*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A028184 11.5239 [1/(9*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A028184 4.31218 [(1284990612527633*f(x)+818342059389120)*(3150*f(x)*x^4-1745*f(x)*x^3+353*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028184 7.93299 [-(-31+706*x+12600*x^3-5235*x^2)/(-1+9*x)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A028185 3.28514 [(14235733593421527283*f(x)+8455367055747409875)*(3465*f(x)*x^4-1888*f(x)*x^3+374*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028185 8.06375 [-4*(-8+187*x+3465*x^3-1416*x^2)/(-1+9*x)/(7*x-1)/(5*x-1)/(11*x-1) lgdogf] A028185 9.23236 [1/(9*x-1)/(7*x-1)/(5*x-1)/(11*x-1) ogf] A028186 2.99786 [(723965318126716853*f(x)+401539696606944000)*(3780*f(x)*x^4-2031*f(x)*x^3+395*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028186 7.20873 [-(-33+790*x+15120*x^3-6093*x^2)/(12*x-1)/(-1+9*x)/(7*x-1)/(5*x-1) lgdogf] A028186 8.26997 [1/(12*x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A028187 10.9704 [-(8*x-1)*(1925*x^2-530*x+33)/(7*x-1)/(5*x-1)/(10*x-1)/(11*x-1) lgdogf] A028187 11.9301 [1/(7*x-1)/(5*x-1)/(10*x-1)/(11*x-1) ogf] A028187 4.46415 [(1479225085013317*f(x)+820335601402240)*(3850*f(x)*x^4-2055*f(x)*x^3+397*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028188 3.25967 [(708298988353*f(x)+366779460096)*(4200*f(x)*x^4-2210*f(x)*x^3+419*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028188 7.14152 [-2*(-17+419*x+8400*x^3-3315*x^2)/(12*x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A028188 8.31778 [1/(12*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A028189 2.88811 [(5451974816157212265589*f(x)+2632566361367704608000)*(4620*f(x)*x^4-2389*f(x)*x^3+443*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028189 7.29404 [-(-35+886*x+18480*x^3-7167*x^2)/(7*x-1)/(5*x-1)/(12*x-1)/(11*x-1) lgdogf] A028189 8.36557 [1/(7*x-1)/(5*x-1)/(12*x-1)/(11*x-1) ogf] A028190 3.53207 [(4236201486385*f(x)+2588342750208)*(3600*f(x)*x^4-1930*f(x)*x^3+377*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028190 7.85572 [-2*(-16+377*x+7200*x^3-2895*x^2)/(-1+9*x)/(8*x-1)/(5*x-1)/(10*x-1) lgdogf] A028190 9.13466 [1/(9*x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A028191 2.8221 [(1917420529070039116103*f(x)+1093566699804471552000)*(3960*f(x)*x^4-2087*f(x)*x^3+399*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028191 7.01549 [-3*(-11+266*x+5280*x^3-2087*x^2)/(-1+9*x)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A028191 8.17436 [1/(9*x-1)/(5*x-1)/(11*x-1)/(8*x-1) ogf] A028192 3.2162 [(5459809735919*f(x)+2909219328000)*(4320*f(x)*x^4-2244*f(x)*x^3+421*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028192 7.14152 [-2*(-17+421*x+8640*x^3-3366*x^2)/(12*x-1)/(-1+9*x)/(8*x-1)/(5*x-1) lgdogf] A028192 8.31778 [1/(12*x-1)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A028193 3.15564 [(72696479360647*f(x)+38767694986240)*(4400*f(x)*x^4-2270*f(x)*x^3+423*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028193 7.09951 [-2*(-17+423*x+8800*x^3-3405*x^2)/(5*x-1)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A028193 8.26997 [1/(5*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A028194 3.44116 [(178839551*f(x)+89095680)*(4800*f(x)*x^4-2440*f(x)*x^3+446*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028194 7.29404 [-(-35+892*x+19200*x^3-7320*x^2)/(12*x-1)/(8*x-1)/(5*x-1)/(10*x-1) lgdogf] A028194 8.36557 [1/(12*x-1)/(8*x-1)/(5*x-1)/(10*x-1) ogf] A028195 3.04985 [(694518177158394599*f(x)+322891182738432000)*(5280*f(x)*x^4-2636*f(x)*x^3+471*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028195 7.33670 [-6*(-6+157*x+3520*x^3-1318*x^2)/(5*x-1)/(12*x-1)/(11*x-1)/(8*x-1) lgdogf] A028195 8.41338 [1/(5*x-1)/(12*x-1)/(11*x-1)/(8*x-1) ogf] A028196 10.3948 [-(-35+898*x+19800*x^3-7455*x^2)/(-1+9*x)/(5*x-1)/(10*x-1)/(11*x-1) lgdogf] A028196 12.0316 [1/(9*x-1)/(5*x-1)/(10*x-1)/(11*x-1) ogf] A028196 4.47328 [(2641785835593067*f(x)+1328863447707840)*(4950*f(x)*x^4-2485*f(x)*x^3+449*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028197 3.31956 [(114350559433*f(x)+53737758720)*(5400*f(x)*x^4-2670*f(x)*x^3+473*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028197 7.01302 [-2*(-18+473*x+10800*x^3-4005*x^2)/(12*x-1)/(-1+9*x)/(5*x-1)/(10*x-1) lgdogf] A028197 8.41338 [1/(12*x-1)/(9*x-1)/(5*x-1)/(10*x-1) ogf] A028198 2.99372 [(10309817309633546281*f(x)+4522223346084576000)*(5940*f(x)*x^4-2883*f(x)*x^3+499*f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A028198 7.22554 [-(-37+998*x+23760*x^3-8649*x^2)/(-1+9*x)/(5*x-1)/(12*x-1)/(11*x-1) lgdogf] A028198 8.41338 [1/(9*x-1)/(5*x-1)/(12*x-1)/(11*x-1) ogf] A028199 3.20468 [(849830375285897*f(x)+348716272227840)*(6600*f(x)*x^4-3130*f(x)*x^3+527*f(x)*x^2-38*f(x)*x+f(x)-1) ogf] A028199 7.09457 [-2*(-19+527*x+13200*x^3-4695*x^2)/(5*x-1)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A028199 8.50898 [1/(5*x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A028200 10.1017 [-2*(-15+335*x+6048*x^3-2475*x^2)/(6*x-1)/(8*x-1)/(7*x-1)/(-1+9*x) lgdogf] A028200 11.5239 [1/(6*x-1)/(8*x-1)/(7*x-1)/(9*x-1) ogf] A028200 4.34018 [(191979306276967*f(x)+167697270494208)*(3024*f(x)*x^4-1650*f(x)*x^3+335*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028201 3.37806 [(2801817086610019*f(x)+2311663548096000)*(3360*f(x)*x^4-1796*f(x)*x^3+356*f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A028201 8.05694 [-(-31+712*x+13440*x^3-5388*x^2)/(6*x-1)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A028201 9.08581 [1/(6*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A028202 3.27044 [(7080635327901906923*f(x)+5496354941525167104)*(3696*f(x)*x^4-1942*f(x)*x^3+377*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028202 7.97658 [-2*(-16+377*x+7392*x^3-2913*x^2)/(6*x-1)/(7*x-1)/(11*x-1)/(8*x-1) lgdogf] A028202 9.13466 [1/(6*x-1)/(7*x-1)/(11*x-1)/(8*x-1) ogf] A028203 3.26298 [(113471969633*f(x)+82803119616)*(4032*f(x)*x^4-2088*f(x)*x^3+398*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028203 7.32137 [-(-33+796*x+16128*x^3-6264*x^2)/(12*x-1)/(6*x-1)/(8*x-1)/(7*x-1) lgdogf] A028203 8.26997 [1/(12*x-1)/(6*x-1)/(8*x-1)/(7*x-1) ogf] A028204 3.46282 [(110468979025361*f(x)+87343563336750)*(3780*f(x)*x^4-1968*f(x)*x^3+379*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A028204 7.85572 [-2*(-16+379*x+7560*x^3-2952*x^2)/(6*x-1)/(-1+9*x)/(7*x-1)/(10*x-1) lgdogf] A028204 9.13466 [1/(6*x-1)/(9*x-1)/(7*x-1)/(10*x-1) ogf] A028205 3.36444 [(810020786795978893*f(x)+603287706823623360)*(4158*f(x)*x^4-2127*f(x)*x^3+401*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028205 8.10734 [-(-33+802*x+16632*x^3-6381*x^2)/(-1+9*x)/(6*x-1)/(7*x-1)/(11*x-1) lgdogf] A028205 9.28121 [1/(9*x-1)/(6*x-1)/(7*x-1)/(11*x-1) ogf] A028206 3.30432 [(28756598783*f(x)+20149565184)*(4536*f(x)*x^4-2286*f(x)*x^3+423*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028206 7.14152 [-2*(-17+423*x+9072*x^3-3429*x^2)/(12*x-1)/(6*x-1)/(-1+9*x)/(7*x-1) lgdogf] A028206 8.31778 [1/(12*x-1)/(6*x-1)/(9*x-1)/(7*x-1) ogf] A028207 2.99786 [(379468445476892327*f(x)+267911938940184000)*(4620*f(x)*x^4-2312*f(x)*x^3+425*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028207 7.09951 [-2*(-17+425*x+9240*x^3-3468*x^2)/(6*x-1)/(7*x-1)/(10*x-1)/(11*x-1) lgdogf] A028207 8.26997 [1/(6*x-1)/(7*x-1)/(10*x-1)/(11*x-1) ogf] A028208 3.23469 [(1598603241617*f(x)+1062265512000)*(5040*f(x)*x^4-2484*f(x)*x^3+448*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028208 7.29404 [-(-35+896*x+20160*x^3-7452*x^2)/(12*x-1)/(6*x-1)/(7*x-1)/(10*x-1) lgdogf] A028208 8.36557 [1/(12*x-1)/(6*x-1)/(7*x-1)/(10*x-1) ogf] A028209 3.10812 [(12038353326914609*f(x)+7544477069902080)*(5544*f(x)*x^4-2682*f(x)*x^3+473*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028209 7.11769 [-2*(-18+473*x+11088*x^3-4023*x^2)/(6*x-1)/(7*x-1)/(12*x-1)/(11*x-1) lgdogf] A028209 8.41338 [1/(6*x-1)/(7*x-1)/(12*x-1)/(11*x-1) ogf] A028210 3.4856 [(55518158966941*f(x)+43815598272000)*(4320*f(x)*x^4-2172*f(x)*x^3+404*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A028210 7.97658 [-(-33+808*x+17280*x^3-6516*x^2)/(6*x-1)/(-1+9*x)/(8*x-1)/(10*x-1) lgdogf] A028210 9.13466 [1/(6*x-1)/(9*x-1)/(8*x-1)/(10*x-1) ogf] A028211 3.09666 [(744619795148399*f(x)+555165944644608)*(4752*f(x)*x^4-2346*f(x)*x^3+427*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A028211 7.05750 [-2*(-17+427*x+9504*x^3-3519*x^2)/(-1+9*x)/(6*x-1)/(11*x-1)/(8*x-1) lgdogf] A028211 8.22216 [1/(9*x-1)/(6*x-1)/(11*x-1)/(8*x-1) ogf] A028212 5.00555 [(17288029*f(x)+12151296)*(5184*f(x)*x^4-2520*f(x)*x^3+450*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028212 7.29404 [-(-35+900*x+20736*x^3-7560*x^2)/(6*x-1)/(8*x-1)/(12*x-1)/(-1+9*x) lgdogf] A028212 8.36557 [1/(6*x-1)/(8*x-1)/(12*x-1)/(9*x-1) ogf] A028213 3.05336 [(57178804605103459*f(x)+40602804783552000)*(5280*f(x)*x^4-2548*f(x)*x^3+452*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028213 7.25139 [-(-35+904*x+21120*x^3-7644*x^2)/(6*x-1)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A028213 8.31778 [1/(6*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A028214 12.0824 [1/(12*x-1)/(6*x-1)/(8*x-1)/(10*x-1) ogf] A028214 4.8665 [(6367091071*f(x)+4264704000)*(5760*f(x)*x^4-2736*f(x)*x^3+476*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028214 7.29404 [-4*(-9+238*x+5760*x^3-2052*x^2)/(12*x-1)/(6*x-1)/(8*x-1)/(10*x-1) lgdogf] A028215 3.275 [(1444708486997*f(x)+915675526656)*(6336*f(x)*x^4-2952*f(x)*x^3+502*f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A028215 7.22554 [-(-37+1004*x+25344*x^3-8856*x^2)/(6*x-1)/(12*x-1)/(11*x-1)/(8*x-1) lgdogf] A028215 8.41338 [1/(6*x-1)/(12*x-1)/(11*x-1)/(8*x-1) ogf] A028216 3.11028 [(5595039463307233*f(x)+3867392202993000)*(5940*f(x)*x^4-2784*f(x)*x^3+479*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028216 6.97225 [-2*(-18+479*x+11880*x^3-4176*x^2)/(-1+9*x)/(6*x-1)/(10*x-1)/(11*x-1) lgdogf] A028216 8.36557 [1/(9*x-1)/(6*x-1)/(10*x-1)/(11*x-1) ogf] A028217 10.3715 [-(-37+1008*x+25920*x^3-8964*x^2)/(12*x-1)/(6*x-1)/(-1+9*x)/(10*x-1) lgdogf] A028217 12.1839 [1/(12*x-1)/(6*x-1)/(9*x-1)/(10*x-1) ogf] A028217 4.77477 [(272676931967*f(x)+178003656000)*(6480*f(x)*x^4-2988*f(x)*x^3+504*f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A028218 3.22861 [(61631486843903*f(x)+38146119264000)*(7128*f(x)*x^4-3222*f(x)*x^3+531*f(x)*x^2-38*f(x)*x+f(x)-1) ogf] A028218 7.05380 [-2*(-19+531*x+14256*x^3-4833*x^2)/(-1+9*x)/(6*x-1)/(12*x-1)/(11*x-1) lgdogf] A028218 8.46117 [1/(9*x-1)/(6*x-1)/(12*x-1)/(11*x-1) ogf] A028219 3.20468 [(640967267568277*f(x)+380319546024000)*(7920*f(x)*x^4-3492*f(x)*x^3+560*f(x)*x^2-39*f(x)*x+f(x)-1) ogf] A028219 7.09457 [-(-39+1120*x+31680*x^3-10476*x^2)/(6*x-1)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A028219 8.50898 [1/(6*x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A028220 4.13624 [(1325894779419372281969*f(x)+1139461874106473465856)*(5544*f(x)*x^4-2605*f(x)*x^3+455*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A028220 7.20873 [-(-35+910*x+22176*x^3-7815*x^2)/(11*x-1)/(8*x-1)/(7*x-1)/(-1+9*x) lgdogf] A028220 8.26997 [1/(11*x-1)/(8*x-1)/(7*x-1)/(9*x-1) ogf] A028221 3.15067 [(313675715516669*f(x)+256010574274560)*(6048*f(x)*x^4-2796*f(x)*x^3+479*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028221 7.07631 [-2*(-18+479*x+12096*x^3-4194*x^2)/(12*x-1)/(-1+9*x)/(8*x-1)/(7*x-1) lgdogf] A028221 8.36557 [1/(12*x-1)/(9*x-1)/(8*x-1)/(7*x-1) ogf] A028222 2.97671 [(10436918743002071533*f(x)+8677981628643712000)*(6160*f(x)*x^4-2826*f(x)*x^3+481*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A028222 7.07631 [-2*(-18+481*x+12320*x^3-4239*x^2)/(7*x-1)/(10*x-1)/(11*x-1)/(8*x-1) lgdogf] A028222 8.36557 [1/(7*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A028223 3.12805 [(9695012602831039*f(x)+7665806530368000)*(6720*f(x)*x^4-3032*f(x)*x^3+506*f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A028223 7.22554 [-(-37+1012*x+26880*x^3-9096*x^2)/(12*x-1)/(8*x-1)/(7*x-1)/(10*x-1) lgdogf] A028223 8.41338 [1/(12*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A028224 3.08647 [(113937896166763831*f(x)+86291433090035712)*(7392*f(x)*x^4-3268*f(x)*x^3+533*f(x)*x^2-38*f(x)*x+f(x)-1) ogf] A028224 7.15908 [-2*(-19+533*x+14784*x^3-4902*x^2)/(7*x-1)/(12*x-1)/(11*x-1)/(8*x-1) lgdogf] A028224 8.46117 [1/(7*x-1)/(12*x-1)/(11*x-1)/(8*x-1) ogf] A028225 2.87044 [(22183806183069860734667*f(x)+18477368262924078816000)*(6930*f(x)*x^4-3083*f(x)*x^3+509*f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A028225 7.11769 [-(-37+1018*x+27720*x^3-9249*x^2)/(-1+9*x)/(7*x-1)/(10*x-1)/(11*x-1) lgdogf] A028225 8.41338 [1/(9*x-1)/(7*x-1)/(10*x-1)/(11*x-1) ogf] A028226 3.16867 [(638245333879939*f(x)+506980627776000)*(7560*f(x)*x^4-3306*f(x)*x^3+535*f(x)*x^2-38*f(x)*x+f(x)-1) ogf] A028226 7.01302 [-2*(-19+535*x+15120*x^3-4959*x^2)/(12*x-1)/(-1+9*x)/(7*x-1)/(10*x-1) lgdogf] A028226 8.41338 [1/(12*x-1)/(9*x-1)/(7*x-1)/(10*x-1) ogf] A028227 3.00927 [(29585587113889652339*f(x)+22610795449696134912)*(8316*f(x)*x^4-3561*f(x)*x^3+563*f(x)*x^2-39*f(x)*x+f(x)-1) ogf] A028227 7.09457 [-(-39+1126*x+33264*x^3-10683*x^2)/(-1+9*x)/(7*x-1)/(12*x-1)/(11*x-1) lgdogf] A028227 8.50898 [1/(9*x-1)/(7*x-1)/(12*x-1)/(11*x-1) ogf] A028228 3.04309 [(52698347485563186179*f(x)+39555073952279424000)*(9240*f(x)*x^4-3854*f(x)*x^3+593*f(x)*x^2-40*f(x)*x+f(x)-1) ogf] A028228 7.17612 [-2*(-20+593*x+18480*x^3-5781*x^2)/(7*x-1)/(12*x-1)/(10*x-1)/(11*x-1) lgdogf] A028228 8.60459 [1/(7*x-1)/(12*x-1)/(10*x-1)/(11*x-1) ogf] A028230 11.4560 [(x+1)/(x^2-14*x+1) ogf] A028230 11.4588 [-1/2*(-1-14*x+((1+8*x)*(24*x+1))^(1/2))/(x-1) revogf] A028230 16.6337 [-(x+5)*(x-3)/(x+1)/(x^2-14*x+1) lgdogf] A028230 6.27354 [{-a(n+2)+14*a(n+1)-a(n),a(0)=1,a(1)=15} ogf] A028230 8.4823 [(208*f(x)+17)*(f(x)*x^2-14*f(x)*x+f(x)-x-1) ogf] A028231 10.7963 [(2*x^2-7*x-1)/(x-1)/(x^2-14*x+1) ogf] A028231 5.39814 [-(561616*f(x)+31589)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-2*x^2-f(x)+7*x+1) ogf] A028231 5.81338 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=1,a(1)=22,a(2)=313} ogf] A028238 3.016 [-(f(x)-1)^3 ogf] A028240 3.68235 [2*x^14*(16256*x^2+255*x+16256) ogf_with_Euler_transform] A028242 14.7219 [(x^2-x+1)/(x+1)/(x-1)^2 ogf] A028242 26.0319 [-x*(4+x^2-x)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A028242 30.8706 [-x^5+x^2+2*x ogf_with_Euler_transform] A028242 7.94723 [(25*f(x)-89)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)+x-1) ogf] A028242 8.09043 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A028243 11.6759 [-2*x^2/(x-1)/(3*x-1)/(2*x-1) ogf] A028243 13.2684 [-2*(3-11*x+9*x^2)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A028243 4.83865 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A028243 6.54989 [6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+2*x^2-f(x) ogf] A028244 11.0395 [-2*(-5+35*x+48*x^3-75*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(4*x-1) lgdogf] A028244 11.0953 [6*x^3/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A028244 6.14012 [-24*f(x)*x^4+50*f(x)*x^3-35*f(x)*x^2+6*x^3+10*f(x)*x-f(x) ogf] A028245 4.10769 [120*f(x)*x^5-274*f(x)*x^4+225*f(x)*x^3+24*x^4-85*f(x)*x^2+15*f(x)*x-f(x) ogf] A028245 6.90091 [-(15-170*x+600*x^4-1096*x^3+675*x^2)/(x-1)/(4*x-1)/(-1+3*x)/(2*x-1)/(5*x-1) lgdogf] A028245 7.39383 [-24*x^4/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A028249 14.3828 [-x^11+2*x^5+x^3+x^2+1 ogf_with_Euler_transform] A028249 5.36325 [(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A028249 6.69480 [-(1+x+12*x^5-2*x^4+4*x^3+x^8-7*x^7+3*x^6+3*x^2+8*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A028253 11.6238 [(1-3*x+10*x^4-27*x^3+21*x^2)/(x-1)/(5*x^4-7*x^3+x^2+x-1) lgdogf] A028253 8.50616 [-x^2*(5*x^4-7*x^3+x^2+x-1)/(x-1)^2 ogf] A028258 11.2572 [1/(16*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A028258 4.86108 [(13651*f(x)+1024)*(1024*f(x)*x^4-960*f(x)*x^3+280*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A028258 9.69386 [-2*(-15+280*x+2048*x^3-1440*x^2)/(16*x-1)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A028270 11.6331 [-4*f(x)^2*x+f(x)^2-x^2-2*x-1 ogf] A028270 30.9626 [(2*x-3)/(x+1)/(4*x-1) lgdogf] A028270 4.42059 [{(-n-3)*a(n+3)+(9+3*n)*a(n+2)+(2+4*n)*a(n+1),a(0)=1,a(1)=3,a(2)=8} ogf] A028283 10.8165 [4*f(x)^2*x-f(x)^2+4*x^2+4*x+1 ogf] A028283 26.2535 [4*(x-1)/(2*x+1)/(4*x-1) lgdogf] A028283 4.08306 [{(-n-3)*a(n+3)+(8+2*n)*a(n+2)+(4+8*n)*a(n+1),a(0)=1,a(1)=4,a(2)=10} ogf] A028288 17.4693 [-x^7+x^4+x^3+2*x^2+1 ogf_with_Euler_transform] A028288 6.86798 [(x^4+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A028288 7.03511 [-(1+8*x^10+2*x+19*x^5+19*x^4+13*x^3+10*x^8+9*x^7+21*x^6+9*x^2+9*x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1) lgdogf] A028289 14.8634 [-(1+4*x+9*x^3+10*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A028289 26.0348 [2*x^2+x+1 ogf_with_Euler_transform] A028289 7.35422 [1/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A028290 15.5052 [x^7+x^4+x^2+x+1 ogf_with_Euler_transform] A028290 5.97554 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^5 ogf] A028291 22.1809 [[x^4+x^2+x+2] ogf_with_Euler_transform] A028291 7.12487 [-(2*x^2+2*x+1)*(6*x^5+7*x^4+6*x^3+5*x^2+4*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A028291 9.06666 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A028293 8.81816 [-(x^2-x+1)*(x^4+3*x^3+3*x^2+3*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A028294 6.54513 [(9*x^5-31*x^4-49*x^3+176*x^2+14*x+1)/(x-1)^6 ogf] A028294 8.60545 [-(20+422*x+9*x^5-17*x^4-271*x^3+557*x^2)/(x-1)/(9*x^5-31*x^4-49*x^3+176*x^2+14*x+1) lgdogf] A028309 15.7613 [-x^11+x^3+x^2+x+1 ogf_with_Euler_transform] A028309 8.64287 [-(x^2-x+1)*(x^4-x^2+1)/(x+1)/(x-1)^3 ogf] A028309 9.02686 [(-1-2*x-4*x^5+4*x^4-2*x^3+2*x^7-3*x^6)/(x-1)/(x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A028310 12.5891 [-f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1 ogf] A028310 16.8646 [(x^2-x+1)/(x-1)^2 ogf] A028310 26.9970 [-x^5+x^2+x+1 ogf_with_Euler_transform] A028310 39.8508 [-(x+1)/(x-1)/(x^2-x+1) lgdogf] A028310 8.76298 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2} ogf] A028322 10.8723 [-4*f(x)^2*x+f(x)^2-9*x^2-6*x-1 ogf] A028322 26.3916 [(6*x-5)/(3*x+1)/(4*x-1) lgdogf] A028322 4.07711 [{(n+3)*a(n+3)+(-7-n)*a(n+2)+(-6-12*n)*a(n+1),a(0)=1,a(1)=5,a(2)=12} ogf] A028329 13.8422 [-4*f(x)^2*x+f(x)^2-4 ogf] A028329 25.4244 [1/2*(-x+(x^2+1)^(1/2))*x revogf] A028329 5.98940 [{(-n-2)*a(n+2)+(6+4*n)*a(n+1),a(0)=2,a(1)=4} ogf] A028329 61.0186 [-2/(4*x-1) lgdogf] A028339 3.25653 [{(-8*n^3-84*n^2-294*n-343)*a(n+1)+(12*n^2+96*n+193)*a(n+2)+(-6*n-27)*a(n+3)+a(n+4),a(0)=1,a(1)=9,a(2)=86,a(3)=950} ogf] A028345 4.90384 [-(2*x^8+2*x^7+15*x^6+19*x^5+9*x^4+9*x^3+4*x^2-x+1)/(x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A028346 10.1444 [1/(x+1)^2/(x-1)^6 ogf] A028346 27.4094 [-4*(2*x+1)/(x-1)/(x+1) lgdogf] A028346 39.3480 [[4+2*x] ogf_with_Euler_transform] A028346 6.16178 [{(n+3)*a(n+3)-4*a(n+2)+(-9-n)*a(n+1),a(0)=1,a(1)=4,a(2)=12} ogf] A028347 14.4813 [x*(3*x-5)/(x-1)^3 ogf] A028347 36.9864 [-6*(x-2)/(x-1)/(3*x-5) lgdogf] A028347 7.11583 [-(508*f(x)-5187)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+5*x) ogf] A028347 7.36996 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=12} ogf] A028350 3.70725 [{(216*n^2+432*n+210)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=-1,a(1)=6} ogf] A028350 7.91719 [-hypergeom([-1/6,1/6],[1/2],108*x) ogf] A028356 14.5310 [-(2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A028356 14.9089 [-2*(1+x+x^5+x^4-x^3+x^6+x^2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3+x^2+x+1) lgdogf] A028356 8.02112 [-(23*f(x)+51)*(f(x)*x^4-f(x)*x^3+2*x^3+f(x)*x+x^2-f(x)+x+1) ogf] A028357 7.63238 [(2*x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A028357 8.55439 [-(3+3*x+3*x^5+3*x^4+x^3+4*x^6+3*x^2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3+x^2+x+1) lgdogf] A028358 7.42714 [-(2*x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x-1)^3 ogf] A028358 7.90324 [-2*(2+2*x+2*x^5+2*x^4+2*x^3+3*x^6+2*x^2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3+x^2+x+1) lgdogf] A028359 4.32065 [(10*x^4+20*x^3+12*x^2+2*x+1)/(x-1)/(100*x^3-1)/(x^2+x+1) ogf] A028375 6.26635 [-(x^8+8*x^7+40*x^6+32*x^5+38*x^4+32*x^3+40*x^2+8*x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A028377 10.7290 [-(x^3+3*x^2+2*x+1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A028379 4.84576 [{(-4*n^2-22*n-28)*a(n+1)+(n^2+7*n+6)*a(n+2),a(0)=0,a(1)=6} ogf] A028379 7.16166 [-f(x)^2*x^4+4*f(x)*x^3+12*f(x)*x^2-18*f(x)*x-4*x^2+4*f(x)-24*x ogf] A028385 2.26219 [(f(x)-1)^2*(-12972*x^3+f(x)-1) ogf] A028387 12.3710 [(x^2-2*x-1)/(x-1)^3 ogf] A028387 23.8461 [-(-5-2*x+x^2)/(x-1)/(x^2-2*x-1) lgdogf] A028387 6.67813 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A028387 7.19724 [-(44*f(x)-161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+2*x+1) ogf] A028390 7.62363 [-(2+4*x+18*x^5+19*x^4+16*x^3+3*x^8+8*x^7+30*x^6+18*x^2+2*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+2*x^4+6*x^3+2*x^2+2*x+1) lgdogf] A028390 9.56502 [x*(x^6+x^5+2*x^4+6*x^3+2*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A028399 13.6897 [-2*f(x)*x^2+3*f(x)*x-f(x)+4*x ogf] A028399 18.1091 [4*x/(2*x-1)/(x-1) ogf] A028399 18.8524 [-1/4*(-4-3*x+(16+24*x+x^2)^(1/2))/x revogf] A028399 29.9924 [-(4*x-3)/(2*x-1)/(x-1) lgdogf] A028399 8.27205 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=4} ogf] A028400 4.89443 [-(153*f(x)+1364)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+18*x^2-f(x)-19*x+4) ogf] A028400 5.28082 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=4,a(1)=9,a(2)=25} ogf] A028400 8.30242 [-(9-76*x+144*x^4-304*x^3+236*x^2)/(x-1)/(2*x-1)/(4*x-1)/(18*x^2-19*x+4) lgdogf] A028400 9.40647 [-(18*x^2-19*x+4)/(x-1)/(2*x-1)/(4*x-1) ogf] A028401 5.54765 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=3,a(1)=6,a(2)=15} ogf] A028401 6.87427 [-8*f(x)*x^3+14*f(x)*x^2-7*f(x)*x-15*x^2+f(x)+15*x-3 ogf] A028401 9.38969 [-(2-18*x+40*x^4-80*x^3+59*x^2)/(x-1)/(2*x-1)/(4*x-1)/(5*x^2-5*x+1) lgdogf] A028401 9.88175 [-3*(5*x^2-5*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A028402 8.23755 [-(93*f(x)+692)*(8*f(x)*x^2-6*f(x)*x+f(x)+16*x-6) ogf] A028403 14.7597 [-(3-16*x+24*x^2)/(-1+3*x)/(2*x-1)/(4*x-1) lgdogf] A028403 16.0244 [-4*(3*x-1)/(4*x-1)/(2*x-1) ogf] A028403 17.2900 [-1/4*(-2-3*x+(4+x^2)^(1/2))/(2*x+3) revogf] A028403 8.10025 [-(7*f(x)+53)*(8*f(x)*x^2-6*f(x)*x+f(x)+12*x-4) ogf] A028403 8.88101 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=4,a(1)=12} ogf] A028425 10.1420 [-(112*x^16-112*x^15+16*x^4-16*x^3-1)/(x-1)^2 ogf] A028425 8.39035 [2*(1-1624*x^15+840*x^14+16*x^4-40*x^3+24*x^2+784*x^16)/(x-1)/(112*x^16-112*x^15+16*x^4-16*x^3-1) lgdogf] A028426 10.3767 [-(225*x^25-225*x^24+25*x^5-25*x^4-1)/(x-1)^2 ogf] A028426 8.32595 [(2+75*x^5-175*x^4+100*x^3+5400*x^23-10575*x^24+5175*x^25)/(x-1)/(225*x^25-225*x^24+25*x^5-25*x^4-1) lgdogf] A028429 14.2835 [-(64*x^8-64*x^7-1)/(x-1)^2 ogf] A028429 15.5903 [2*(1+192*x^8-416*x^7+224*x^6)/(x-1)/(64*x^8-64*x^7-1) lgdogf] A028430 14.0479 [-(81*x^9-81*x^8-1)/(x-1)^2 ogf] A028430 15.6279 [(2-1215*x^8+648*x^7+567*x^9)/(x-1)/(81*x^9-81*x^8-1) lgdogf] A028430 4.40864 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=6,a(6)=7,a(7)=8,a(8)=90,a(9)=91} ogf] A028431 13.2500 [-(100*x^10-100*x^9-1)/(x-1)^2 ogf] A028431 14.1311 [2*(1+400*x^10+450*x^8-850*x^9)/(x-1)/(100*x^10-100*x^9-1) lgdogf] A028434 10.4495 [-(187*x^16-199*x^15+x^4-x^3-4)/(x-1)^2 ogf] A028434 9.30438 [(8-5579*x^15+2985*x^14+2*x^4-5*x^3+3*x^2+2618*x^16)/(x-1)/(187*x^16-199*x^15+x^4-x^3-4) lgdogf] A028435 10.2032 [-(489*x^25-509*x^24+x^5-x^4-5)/(x-1)^2 ogf] A028438 14.4163 [-(x^8-x^7-8)/(x-1)^2 ogf] A028438 19.6530 [(16+6*x^8-13*x^7+7*x^6)/(x-1)/(x^8-x^7-8) lgdogf] A028439 14.5563 [-(x^9-x^8-9)/(x-1)^2 ogf] A028439 19.8476 [(18-15*x^8+8*x^7+7*x^9)/(x-1)/(x^9-x^8-9) lgdogf] A028439 4.25491 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=9,a(1)=18,a(2)=27,a(3)=36,a(4)=45,a(5)=54,a(6)=63,a(7)=72,a(8)=82,a(9)=91} ogf] A028440 13.8624 [-(x^10-x^9-10)/(x-1)^2 ogf] A028440 18.2272 [(20+8*x^10+9*x^8-17*x^9)/(x-1)/(x^10-x^9-10) lgdogf] A028447 4.14480 [-(x^8+3*x^7-7*x^6-16*x^5+14*x^4+16*x^3-7*x^2-3*x+1)/(x^2-x-1)/(x^8+7*x^7-13*x^6-48*x^5+28*x^4+48*x^3-13*x^2-7*x+1) ogf] A028455 5.14721 [-(x^3-4*x+1)*(x^3+4*x^2-1)/(x^8+8*x^7-22*x^6-60*x^5+67*x^4+60*x^3-22*x^2-8*x+1) ogf] A028456 5.28781 [-(x+1)*(x^4-16*x^3+45*x^2-16*x+1)/(x-1)/(x^6-23*x^5-50*x^4+405*x^3-50*x^2-23*x+1) ogf] A028468 4.22850 [-(x^2-2*x-1)*(x^4+2*x^3-3*x^2-2*x+1)/(x-1)/(x+1)/(x^3+6*x^2+5*x+1)/(x^3-5*x^2+6*x-1) ogf] A028477 7.12335 [-(x^4+2*x^3-4*x^2-2*x+1)/(x^2-2*x-1)/(x^4+6*x^3-3*x^2-6*x+1) ogf] A028479 4.55744 [-(x+1)*(x^6-6*x^5-15*x^4+56*x^3-15*x^2-6*x+1)/(x-1)/(x^4-14*x^3+34*x^2-14*x+1)/(x^4+8*x^3+16*x^2+8*x+1) ogf] A028493 3.66707 [-(46648*f(x)-1359395)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2+65*x^3-6*f(x)*x-131*x^2+f(x)+84*x-16) ogf] A028493 6.89760 [-(65*x^3-131*x^2+84*x-16)/(3*x-1)/(x-1)^3 ogf] A028493 7.65571 [-(12-98*x+195*x^4-396*x^3+299*x^2)/(x-1)/(-1+3*x)/(65*x^3-131*x^2+84*x-16) lgdogf] A028494 15.6339 [-3*(x+1)*(x^2-6*x+3)/(x-1)/(3*x^3-12*x^2+5*x+1) lgdogf] A028494 4.39019 [(5238*f(x)+22903)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+12*x^2+f(x)-5*x-1) ogf] A028494 8.16126 [(3*x^3-12*x^2+5*x+1)/(x-1)^4 ogf] A028495 14.0002 [-(x-1)*(x+1)/(x^3-2*x^2-x+1) ogf] A028495 17.0341 [-(1+2*x+x^4-2*x^2)/(x-1)/(x+1)/(x^3-2*x^2-x+1) lgdogf] A028495 7.12512 [{a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A028495 7.45806 [(8*f(x)-3)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A028498 3.27428 [4*(x^2+2)*(x-1)^2/(x^2-4*x+2)^3 egf] A028498 7.59431 [-2*(8-8*x+x^4+2*x^2)/(x-1)/(x^2+2)/(x^2-4*x+2) lgdegf] A028552 12.3549 [2*x*(x-2)/(x-1)^3 ogf] A028552 32.9911 [-(-5+2*x)/(x-1)/(x-2) lgdogf] A028552 6.28779 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=10} ogf] A028552 6.58161 [(5*f(x)+8)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+4*x) ogf] A028557 12.4885 [2*x*(2*x-3)/(x-1)^3 ogf] A028557 30.4533 [-(-7+4*x)/(x-1)/(2*x-3) lgdogf] A028557 6.35576 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=14} ogf] A028557 6.35577 [-(3*f(x)-52)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+6*x) ogf] A028560 13.3742 [x*(5*x-7)/(x-1)^3 ogf] A028560 30.0312 [-2*(-8+5*x)/(x-1)/(5*x-7) lgdogf] A028560 6.51563 [-(860*f(x)-23517)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+7*x) ogf] A028560 6.80652 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=16} ogf] A028563 16.7324 [2*x*(3*x-4)/(x-1)^3 ogf] A028563 39.2384 [-3*(2*x-3)/(x-1)/(3*x-4) lgdogf] A028563 8.29344 [-(67*f(x)-2730)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+8*x) ogf] A028563 8.51558 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=18} ogf] A028566 13.0980 [x*(7*x-9)/(x-1)^3 ogf] A028566 28.2730 [-2*(-10+7*x)/(x-1)/(7*x-9) lgdogf] A028566 6.32699 [-(1308*f(x)-75911)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+9*x) ogf] A028566 6.66594 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=20} ogf] A028569 12.9382 [2*x*(4*x-5)/(x-1)^3 ogf] A028569 29.5571 [-(-11+8*x)/(x-1)/(-5+4*x) lgdogf] A028569 6.58258 [-(7*f(x)-558)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+10*x) ogf] A028569 6.64082 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=22} ogf] A028574 8.96479 [-1/(8*x-1)/(2*x-1)/(4*x-1)/(16*x-1)^2 ogf] A028574 9.06627 [-2*(-23+392*x+2560*x^3-1888*x^2)/(16*x-1)/(8*x-1)/(2*x-1)/(4*x-1) lgdogf] A028575 6.89401 [(-25*n-45)*a(n+1)+(10*n+24)*a(n+2)+(-n-3)*a(n+3),a(0)=5,a(1)=24,a(2)=118 lgdegf] A028586 99.9999 Evaluated at exp(-Pi) 1/20*5^(1/2)/GAMMA(3/4)^2*Pi^(1/2)*2^(1/2)*(5-5^(1/2))^(1/2)*(5^(1/2)+1) A028723 18.6382 [-3*(1+4*x+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A028723 32.4669 [-x^2+3*x+3 ogf_with_Euler_transform] A028723 4.41206 [{(-n^2-n)*a(n)+(-2*n+2)*a(n+1)+(n^2-5*n+6)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A028723 8.08150 [-x^5*(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A028724 18.7448 [-(2+10*x+5*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A028724 32.0786 [-x^2+3*x+2 ogf_with_Euler_transform] A028724 4.15477 [{(-n^3-n^2)*a(n)+(-n^2+n-2)*a(n+1)+(n^3-4*n^2+5*n-2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A028724 7.98045 [x^4*(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A028725 5.09410 [x^6*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^5/(x-1)^6 ogf] A028725 8.17472 [-(3+21*x+7*x^5+17*x^4+42*x^3+30*x^2)/(x-1)/(x+1)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A028762 3.82126 [(x^3+x^2+2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A028813 5.03200 [-(2*x^28-x^27-x^26-x^24+x^23+x^22-x^21+x^20-x^18-x^9-x^8-x^6+x^4-x-2)/(x+1)/(x^8+1)/(x-1)^2 ogf] A028814 11.3938 [-(2*x-1)/(4*x-1)/(x-1)^3 ogf] A028814 15.5124 [-(5-20*x+24*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A028814 3.55351 [{(n+4)*a(n+4)+(-26-7*n)*a(n+3)+(48+14*n)*a(n+2)+(-32-8*n)*a(n+1),a(0)=1,a(1)=5,a(2)=20,a(3)=78} ogf] A028814 5.31711 [-(58861*f(x)-13664)*(4*f(x)*x^4-13*f(x)*x^3+15*f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A028830 2.09082 [(12*f(x)-23)*(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A028831 4.06481 [-(1499*f(x)-20798)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A028831 8.24745 [-(3*x^2+2*x+1)/(x^4+x^3+x^2+x-1) ogf] A028831 8.68132 [-(3+8*x+6*x^5+9*x^4+8*x^3+2*x^2)/(3*x^2+2*x+1)/(x^4+x^3+x^2+x-1) lgdogf] A028835 10.6674 [-(3+7*x+10*x^5+10*x^4+23*x^3+2*x^7+6*x^6+11*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^4+2*x^3+2*x^2+x+2) lgdogf] A028835 12.9662 [(2*x^4+2*x^3+2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A028836 11.1523 [-(2+6*x+11*x^5+11*x^4+16*x^3+x^7+9*x^6+16*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+4*x^3+2*x^2+x+1) lgdogf] A028836 12.9662 [(x^4+4*x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A028837 13.8939 [(5*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A028837 14.3302 [-2*(2+7*x+5*x^4+7*x^3+6*x^2)/(x-1)/(x^2+x+1)/(5*x^2+3*x+1) lgdogf] A028837 5.07502 [{(9*n+32)*a(n+1)+9*a(n+2)+9*a(n+3)+(-9*n-23)*a(n+4),a(0)=1,a(1)=4,a(2)=9,a(3)=10} ogf] A028837 6.89048 [-(12501*f(x)+66164)*(f(x)*x^4-f(x)*x^3-f(x)*x-5*x^2+f(x)-3*x-1) ogf] A028841 10.4375 [(x^5+3*x^4+2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A028841 7.98505 [-(2+4*x+12*x^5+18*x^4+17*x^3+7*x^8+10*x^7+10*x^6+9*x^2+x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+3*x^4+2*x^3+x^2+x+1) lgdogf] A028844 7.00444 [(-36*n-66)*a(n+1)+(12*n+29)*a(n+2)+(-n-3)*a(n+3),a(0)=6,a(1)=35,a(2)=415/2 lgdegf] A028859 10.6370 [{a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=3} ogf] A028859 11.3277 [f(x)*(2*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A028859 19.3830 [-(x+1)/(2*x^2+2*x-1) ogf] A028859 19.5113 [1/2/(1+2*x)*(-1-2*x+((1+2*x)*(6*x+1))^(1/2)) revogf] A028859 25.2499 [-(3+2*x^2+4*x)/(x+1)/(2*x^2+2*x-1) lgdogf] A028860 12.2312 [-1/2*(-1+2*x+((1+2*x)*(6*x+1))^(1/2))/(2*x+3) revogf] A028860 12.3777 [-(3*x-1)/(2*x^2+2*x-1) ogf] A028860 14.8758 [-(1-4*x+6*x^2)/(-1+3*x)/(2*x^2+2*x-1) lgdogf] A028860 6.79265 [{a(n+2)-2*a(n+1)-2*a(n),a(0)=-1,a(1)=1} ogf] A028860 9.11216 [-(2*f(x)+1)*(2*f(x)*x^2+2*f(x)*x-f(x)+3*x-1) ogf] A028872 12.4341 [(2*x^2-3*x-1)/(x-1)^3 ogf] A028872 22.5175 [-2*(-3-x+x^2)/(x-1)/(2*x^2-3*x-1) lgdogf] A028872 6.53861 [(492*f(x)-3859)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+3*x+1) ogf] A028872 6.71221 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=13} ogf] A028875 12.9980 [(4*x^2-11*x+5)/(x-1)^3 ogf] A028875 26.7321 [-(-11+4*x+x^2)/(x-1)/(x^2+x-4) lgdogf] A028875 6.71564 [-(172*f(x)-823)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+11*x-5) ogf] A028875 7.19532 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-5,a(1)=-4,a(2)=-1} ogf] A028878 12.6234 [(x+1)*(2*x-3)/(x-1)^3 ogf] A028878 22.8676 [-2*(-5+x+x^2)/(x-1)/(2*x-3)/(x+1) lgdogf] A028878 6.63819 [(116*f(x)-1995)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+x+3) ogf] A028878 6.75465 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=10,a(2)=19} ogf] A028881 12.5603 [(3*x^2-3*x-2)/(x-1)^3 ogf] A028881 24.2187 [-3*(-3+x^2)/(x-1)/(3*x^2-3*x-2) lgdogf] A028881 6.66243 [(92*f(x)-1885)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+3*x+2) ogf] A028881 6.78035 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=9,a(2)=18} ogf] A028884 12.5603 [(4*x^2-5*x-1)/(x-1)^3 ogf] A028884 21.4508 [-2*(-4-x+2*x^2)/(x-1)/(4*x^2-5*x-1) lgdogf] A028884 6.54854 [(844*f(x)-20149)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+5*x+1) ogf] A028884 6.78035 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=17} ogf] A028892 5.29738 [-2*f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-x^3+f(x)*x+2*x^2-f(x)+x-1 ogf] A028892 7.91166 [-(x^3-2*x^2-x+1)/(2*x^2-1)/(x^2+x-1) ogf] A028892 8.68120 [-x*(-2-8*x^4-7*x^3+6*x^2+2*x^5+4*x)/(2*x^2-1)/(x^2+x-1)/(x^3-2*x^2-x+1) lgdogf] A028895 10.7589 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+5*x ogf] A028895 18.4097 [-5*x/(x-1)^3 ogf] A028895 7.39676 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=15} ogf] A028895 93.2632 [-3/(x-1) lgdogf] A028896 16.4822 [-6*x/(x-1)^3 ogf] A028896 6.62233 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=18} ogf] A028896 9.63248 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+6*x ogf] A028896 91.2936 [-3/(x-1) lgdogf] A028898 7.39148 [-x*(6*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A028899 7.40415 [-x*(5*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A028900 7.38152 [-x*(4*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A028901 7.28915 [-x*(3*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A028902 7.32386 [-x*(2*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A028903 7.35857 [-x*(x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A028917 5.25569 [{(-27*n^3-216*n^2-564*n-480)*a(n+1)+a(n+2),a(0)=1,a(1)=105} ogf] A028918 5.36565 [{(-27*n^3-216*n^2-555*n-450)*a(n+1)+a(n+2),a(0)=3,a(1)=252} ogf] A028919 14.0458 [2*x*(x^3+x^2+2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A028991 8.61942 [-(19*x^4+20*x^3+64*x^2+8*x+1)/(x+1)^2/(x-1)^3 ogf] A028991 9.01726 [-(9+141*x+19*x^5+59*x^4+288*x^3+156*x^2)/(x-1)/(x+1)/(19*x^4+20*x^3+64*x^2+8*x+1) lgdogf] A028992 11.1225 [-(23+131*x+6*x^4+93*x^3+83*x^2)/(x-1)/(x+1)/(3*x^3+30*x^2+11*x+12) lgdogf] A028992 8.69414 [-2*x*(3*x^3+30*x^2+11*x+12)/(x+1)^2/(x-1)^3 ogf] A028993 11.3821 [-(7*x^2+24*x+1)/(x-1)^3 ogf] A028993 18.6795 [-(27+62*x+7*x^2)/(x-1)/(7*x^2+24*x+1) lgdogf] A028993 6.19028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=27,a(2)=85} ogf] A028993 6.84967 [(267648*f(x)-3765773)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+24*x+1) ogf] A028994 12.2326 [-2*x*(11*x+5)/(x-1)^3 ogf] A028994 26.3234 [-2*(13+11*x)/(11*x+5)/(x-1) lgdogf] A028994 6.38691 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=52} ogf] A028994 6.92688 [(148864*f(x)-1523781)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)+10*x) ogf] A029000 10.1929 [-(1+3*x+4*x^2+3*x^3+x^4+12*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A029000 24.8840 [x^5+x^2+x+1 ogf_with_Euler_transform] A029000 8.24782 [1/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029001 19.7079 [x^6+x^2+x+1 ogf_with_Euler_transform] A029001 5.69874 [-(1+5*x+18*x^5+18*x^4+18*x^3+27*x^8+31*x^7+25*x^6+12*x^2+13*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A029001 6.05394 [1/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029002 20.1667 [x^7+x^2+x+1 ogf_with_Euler_transform] A029002 6.13720 [1/(x^2+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029002 6.59906 [-(1+4*x+10*x^5+8*x^4+10*x^3+15*x^8+18*x^7+8*x^6+8*x^2+14*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A029003 27.8894 [x^8+x^2+x+1 ogf_with_Euler_transform] A029003 8.71621 [1/(x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029003 9.86245 [-(1+4*x+7*x^5+4*x^4+7*x^3+16*x^8+4*x^7+7*x^6+7*x^2+15*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A029004 19.9308 [x^9+x^2+x+1 ogf_with_Euler_transform] A029004 5.95614 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A029005 24.4821 [x^10+x^2+x+1 ogf_with_Euler_transform] A029005 7.81211 [1/(x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029006 19.2302 [x^11+x^2+x+1 ogf_with_Euler_transform] A029006 5.48352 [-(1+3*x+4*x^2+3*x^3+x^4+6*x^5+x^6+3*x^7+4*x^8+3*x^9+x^10+18*x^11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A029006 6.14223 [1/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029007 17.9865 [[x^4+x^3+x+1] ogf_with_Euler_transform] A029007 6.68955 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029007 7.50928 [-(1+4*x+16*x^5+17*x^4+12*x^3+12*x^7+13*x^6+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A029008 19.9308 [x^6+x^3+x+1 ogf_with_Euler_transform] A029008 4.93381 [1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029008 5.92187 [-(1+4*x+12*x^5+12*x^4+12*x^3+15*x^8+18*x^7+19*x^6+5*x^2+14*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A029009 20.1528 [x^8+x^3+x+1 ogf_with_Euler_transform] A029009 4.64174 [1/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029009 5.39408 [-(1+16*x^11+17*x^10+4*x+12*x^5+12*x^4+12*x^3+21*x^8+12*x^7+12*x^6+5*x^2+20*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A029010 26.8085 [x^10+x^3+x+1 ogf_with_Euler_transform] A029010 6.31003 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029011 17.5844 [[1+x+1/24*x^4+1/120*x^5] egf]_with_Euler_transform] A029011 7.42099 [-(1+4*x+22*x^5+14*x^4+8*x^3+15*x^8+18*x^7+19*x^6+5*x^2+14*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A029011 8.73740 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029012 20.1528 [x^6+x^4+x+1 ogf_with_Euler_transform] A029012 6.07646 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029013 20.4932 [x^7+x^4+x+1 ogf_with_Euler_transform] A029013 5.03417 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029013 5.35329 [-(1+16*x^11+17*x^10+4*x+16*x^5+14*x^4+8*x^3+21*x^8+24*x^7+14*x^6+5*x^2+20*x^9)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A029014 20.3740 [x^8+x^4+x+1 ogf_with_Euler_transform] A029014 4.82616 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A029015 24.1055 [x^10+x^4+x+1 ogf_with_Euler_transform] A029015 5.83661 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029016 19.5435 [x^11+x^4+x+1 ogf_with_Euler_transform] A029016 4.73589 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^4 ogf] A029017 20.3740 [x^6+x^5+x+1 ogf_with_Euler_transform] A029017 6.62414 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029018 20.1357 [x^8+x^5+x+1 ogf_with_Euler_transform] A029018 5.05879 [1/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029018 5.76951 [-(1+18*x^11+x^10+3*x+10*x^5+4*x^4+4*x^3+19*x^8+4*x^7+4*x^6+x^2+3*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A029019 19.7562 [x^10+x^5+x+1 ogf_with_Euler_transform] A029019 4.65482 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029020 20.1357 [x^7+x^6+x+1 ogf_with_Euler_transform] A029020 6.54667 [1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029021 20.3549 [x^8+x^6+x+1 ogf_with_Euler_transform] A029021 6.08062 [1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029022 20.3549 [x^9+x^6+x+1 ogf_with_Euler_transform] A029022 5.07480 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029023 24.2048 [x^10+x^6+x+1 ogf_with_Euler_transform] A029023 5.65949 [1/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029024 19.4076 [x^11+x^6+x+1 ogf_with_Euler_transform] A029024 4.54136 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^4 ogf] A029025 20.2352 [x^8+x^7+x+1 ogf_with_Euler_transform] A029025 6.77757 [1/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029026 19.8514 [x^10+x^7+x+1 ogf_with_Euler_transform] A029026 4.91396 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029027 20.3327 [x^9+x^8+x+1 ogf_with_Euler_transform] A029027 6.54503 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029028 19.7347 [x^10+x^8+x+1 ogf_with_Euler_transform] A029028 6.01909 [1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029029 19.6179 [x^11+x^8+x+1 ogf_with_Euler_transform] A029029 4.96407 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029030 19.5011 [x^10+x^9+x+1 ogf_with_Euler_transform] A029030 6.66160 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029031 19.1471 [x^11+x^10+x+1 ogf_with_Euler_transform] A029031 6.73231 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^4 ogf] A029032 15.8520 [[x^4+x^3+x^2+1] ogf_with_Euler_transform] A029032 5.74468 [-(1+3*x+45*x^5+33*x^4+19*x^3+27*x^8+42*x^7+48*x^6+9*x^2+13*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A029032 8.59614 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A029033 18.1714 [x^6+x^3+x^2+1 ogf_with_Euler_transform] A029033 9.25564 [1/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A029034 17.9589 [x^7+x^3+x^2+1 ogf_with_Euler_transform] A029034 6.51955 [-(1+2*x+10*x^5+10*x^4+10*x^3+17*x^8+18*x^7+6*x^6+6*x^2+16*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A029034 6.61149 [1/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029035 17.8526 [x^8+x^3+x^2+1 ogf_with_Euler_transform] A029035 5.35540 [-(1+17*x^11+18*x^10+2*x+14*x^5+11*x^4+11*x^3+23*x^8+11*x^7+11*x^6+6*x^2+19*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A029035 6.26234 [1/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029036 18.2611 [x^9+x^3+x^2+1 ogf_with_Euler_transform] A029036 6.34505 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029037 21.7647 [x^10+x^3+x^2+1 ogf_with_Euler_transform] A029037 7.48105 [1/(x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A029038 17.4686 [x^11+x^3+x^2+1 ogf_with_Euler_transform] A029038 5.76219 [-(1+x+4*x^2+5*x^3+x^4+4*x^5+x^6+5*x^7+4*x^8+x^9+x^10+20*x^11)/(x^2-x+1)/(x^2+x+1)/(x^2+1)/(x-1)/(x+1)/(x^4-x^2+1) lgdogf] A029038 6.23373 [1/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029039 22.1510 [x^5+x^4+x^2+1 ogf_with_Euler_transform] A029039 7.20165 [-(1+2*x+22*x^5+13*x^4+7*x^3+16*x^8+17*x^7+21*x^6+6*x^2+15*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A029039 7.76379 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029040 18.1544 [x^7+x^4+x^2+1 ogf_with_Euler_transform] A029040 6.08062 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029041 22.1316 [x^8+x^4+x^2+1 ogf_with_Euler_transform] A029041 6.10402 [-(1+18*x^12+19*x^11+20*x^10+2*x+16*x^5+13*x^4+7*x^3+25*x^8+13*x^7+16*x^6+6*x^2+24*x^9)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1) lgdogf] A029041 6.22859 [1/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029042 17.8340 [x^9+x^4+x^2+1 ogf_with_Euler_transform] A029042 4.57268 [1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029043 17.7618 [x^10+x^4+x^2+1 ogf_with_Euler_transform] A029043 4.67674 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029044 17.6573 [x^11+x^4+x^2+1 ogf_with_Euler_transform] A029044 4.64923 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029045 18.0476 [x^6+x^5+x^2+1 ogf_with_Euler_transform] A029045 6.09981 [1/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029046 17.8340 [x^7+x^5+x^2+1 ogf_with_Euler_transform] A029046 4.87528 [1/(x^2+1)/(x^2-x+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029046 5.48438 [-(1+18*x^11+x^10+x+12*x^5+6*x^4+2*x^3+5*x^8+20*x^7+6*x^6+5*x^2+19*x^9)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A029047 22.2209 [x^9+x^5+x^2+1 ogf_with_Euler_transform] A029047 6.02501 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029048 17.5529 [x^10+x^5+x^2+1 ogf_with_Euler_transform] A029048 4.59006 [1/(x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029049 18.5434 [x^7+x^6+x^2+1 ogf_with_Euler_transform] A029049 6.44169 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029050 18.4356 [x^8+x^6+x^2+1 ogf_with_Euler_transform] A029050 5.00185 [1/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029051 18.3278 [x^9+x^6+x^2+1 ogf_with_Euler_transform] A029051 6.36679 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029052 4.84945 [1/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029053 20.5794 [x^11+x^6+x^2+1 ogf_with_Euler_transform] A029053 5.49074 [1/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029054 18.1121 [x^8+x^7+x^2+1 ogf_with_Euler_transform] A029054 6.23362 [1/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029055 14.8036 [(1/x^7+1)*(x^9+x^7) ogf_with_Euler_transform] A029055 4.99421 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029056 17.4256 [x^10+x^7+x^2+1 ogf_with_Euler_transform] A029056 5.99295 [1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029057 17.7166 [x^11+x^7+x^2+1 ogf_with_Euler_transform] A029057 5.04671 [1/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029058 18.1954 [x^9+x^8+x^2+1 ogf_with_Euler_transform] A029058 6.03803 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029059 14.5483 [(1/x^8+1)*(x^10+x^8) ogf_with_Euler_transform] A029059 4.97950 [1/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029060 17.5057 [x^10+x^9+x^2+1 ogf_with_Euler_transform] A029060 5.91335 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029061 14.7013 [(1/x^9+1)*(x^11+x^9) ogf_with_Euler_transform] A029061 4.85166 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029062 17.2367 [x^11+x^10+x^2+1 ogf_with_Euler_transform] A029062 5.97512 [1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029063 16.2868 [[x^5+x^4+x^3+1] ogf_with_Euler_transform] A029063 8.82867 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029064 17.8340 [x^6+x^4+x^3+1 ogf_with_Euler_transform] A029064 6.02762 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029065 18.1346 [x^7+x^4+x^3+1 ogf_with_Euler_transform] A029065 5.30792 [-(1+18*x^11+19*x^10+2*x+14*x^5+14*x^4+8*x^3+21*x^8+26*x^7+14*x^6+3*x^2+20*x^9)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A029065 6.87896 [1/(x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029066 18.4356 [x^8+x^4+x^3+1 ogf_with_Euler_transform] A029066 8.89939 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A029067 22.4204 [x^9+x^4+x^3+1 ogf_with_Euler_transform] A029067 6.58223 [-(1+20*x^11+x^10+x+6*x^5+7*x^4+6*x^3+2*x^8+6*x^7+7*x^6+2*x^2+21*x^9)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A029067 8.08514 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029068 17.6355 [x^10+x^4+x^3+1 ogf_with_Euler_transform] A029068 6.23362 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029069 17.5305 [x^11+x^4+x^3+1 ogf_with_Euler_transform] A029069 6.19652 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029070 18.5434 [x^6+x^5+x^3+1 ogf_with_Euler_transform] A029070 6.44169 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029071 22.3088 [x^8+x^5+x^3+1 ogf_with_Euler_transform] A029071 6.04836 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029072 21.8059 [x^10+x^5+x^3+1 ogf_with_Euler_transform] A029072 6.20728 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029073 17.8965 [x^7+x^6+x^3+1 ogf_with_Euler_transform] A029073 6.21698 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029074 4.52883 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029075 4.87125 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029076 17.5057 [x^10+x^6+x^3+1 ogf_with_Euler_transform] A029076 6.01989 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029077 21.8888 [x^11+x^6+x^3+1 ogf_with_Euler_transform] A029077 6.23043 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029078 22.1714 [x^8+x^7+x^3+1 ogf_with_Euler_transform] A029078 7.62461 [1/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029079 14.6138 [(1/x^7+1)*(x^10+x^7) ogf_with_Euler_transform] A029079 4.89267 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029080 18.4669 [x^9+x^8+x^3+1 ogf_with_Euler_transform] A029080 6.35383 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029081 17.8745 [x^10+x^8+x^3+1 ogf_with_Euler_transform] A029081 4.60915 [1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A029082 14.5901 [(1/x^8+1)*(x^11+x^8) ogf_with_Euler_transform] A029082 4.99284 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029083 17.5553 [x^10+x^9+x^3+1 ogf_with_Euler_transform] A029083 5.92896 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029084 17.6693 [x^11+x^10+x^3+1 ogf_with_Euler_transform] A029084 6.12339 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029085 18.1121 [x^6+x^5+x^4+1 ogf_with_Euler_transform] A029085 8.74326 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029086 17.7887 [x^7+x^5+x^4+1 ogf_with_Euler_transform] A029086 5.95684 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029087 18.0871 [x^8+x^5+x^4+1 ogf_with_Euler_transform] A029087 6.22438 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029088 18.3861 [x^9+x^5+x^4+1 ogf_with_Euler_transform] A029088 6.83275 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029089 17.7963 [x^10+x^5+x^4+1 ogf_with_Euler_transform] A029089 8.82119 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029090 17.5844 [x^11+x^5+x^4+1 ogf_with_Euler_transform] A029090 6.71146 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A029091 18.0871 [x^7+x^6+x^4+1 ogf_with_Euler_transform] A029091 6.28255 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029092 4.65227 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029093 4.79870 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029094 17.8745 [x^10+x^6+x^4+1 ogf_with_Euler_transform] A029094 5.09070 [1/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029095 17.7681 [x^11+x^6+x^4+1 ogf_with_Euler_transform] A029095 6.33732 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029096 18.4669 [x^8+x^7+x^4+1 ogf_with_Euler_transform] A029096 6.12691 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^4 ogf] A029097 18.2484 [x^9+x^7+x^4+1 ogf_with_Euler_transform] A029097 4.61288 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029098 4.68513 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029099 4.93441 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029100 18.3268 [x^9+x^8+x^4+1 ogf_with_Euler_transform] A029100 6.30508 [1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029101 5.09493 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029102 18.0270 [x^11+x^8+x^4+1 ogf_with_Euler_transform] A029102 4.64763 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029103 17.9197 [x^10+x^9+x^4+1 ogf_with_Euler_transform] A029103 6.05093 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029104 18.2090 [x^11+x^9+x^4+1 ogf_with_Euler_transform] A029104 4.66266 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029105 16.1824 [x^4+1+x^10*(x+1) ogf_with_Euler_transform] A029105 6.03897 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^4 ogf] A029106 18.1685 [x^7+x^6+x^5+1 ogf_with_Euler_transform] A029106 8.76869 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029107 6.05440 [1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029108 5.92896 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029109 6.06219 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029110 6.65330 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A029111 5.98190 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029112 18.0270 [x^10+x^7+x^5+1 ogf_with_Euler_transform] A029112 4.67924 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029113 18.5142 [x^9+x^8+x^5+1 ogf_with_Euler_transform] A029113 6.36897 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029114 4.69417 [1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029115 17.8858 [x^10+x^9+x^5+1 ogf_with_Euler_transform] A029115 6.26059 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029116 17.4975 [x^11+x^10+x^5+1 ogf_with_Euler_transform] A029116 6.28536 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A029117 11.8251 [(-1/x^9-1/x^3+1/x^8+1)*x^9/(x-1) ogf_with_Euler_transform] A029117 9.14692 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029118 6.01469 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029119 17.9936 [x^10+x^7+x^6+1 ogf_with_Euler_transform] A029119 6.29830 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029120 16.5771 [1+x^6*(x^5+x+1) ogf_with_Euler_transform] A029120 6.26059 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029121 6.39469 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029122 4.58307 [1/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029123 17.7781 [x^11+x^8+x^6+1 ogf_with_Euler_transform] A029123 4.71038 [1/(x+1)/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029124 17.7781 [x^10+x^9+x^6+1 ogf_with_Euler_transform] A029124 6.22288 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029125 18.0662 [x^11+x^9+x^6+1 ogf_with_Euler_transform] A029125 4.62571 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029126 17.4975 [x^11+x^10+x^6+1 ogf_with_Euler_transform] A029127 11.5197 [(1/x^9-1/x^10-1/x^3+1)/(x-1)*x^10 ogf_with_Euler_transform] A029127 8.74877 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029128 6.04589 [1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^4 ogf] A029129 17.8498 [x^11+x^8+x^7+1 ogf_with_Euler_transform] A029129 6.19069 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029130 6.32322 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029131 17.3922 [x^11+x^10+x^7+1 ogf_with_Euler_transform] A029132 11.4419 [(-1/x^11+1/x^10-1/x^3+1)*x^11/(x-1) ogf_with_Euler_transform] A029135 11.3049 [(1/x^11-1/x^3-1/x^12+1)*x^12/(x-1) ogf_with_Euler_transform] A029136 10.6980 [-x*(2+17*x^4+3*x^3+8*x^2+15*x^6+3*x)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A029136 20.0530 [[x^5+x^3+x^2+x] ogf_with_Euler_transform] A029136 7.50387 [1/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029137 19.7522 [x*(x^5+x^2+x+1) ogf_with_Euler_transform] A029137 6.15895 [-x*(16*x^10+32*x^9+2+36*x^4+27*x^3+18*x^2+55*x^7+50*x^6+43*x^5+7*x+50*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A029137 7.32473 [1/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029138 21.3810 [x*(x^6+x^2+x+1) ogf_with_Euler_transform] A029138 5.94477 [1/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029138 9.12903 [-x*(2+11*x^4+9*x^3+11*x^2+17*x^7+19*x^6+5*x^5+5*x+17*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A029139 23.5797 [x^8+x^3+x^2+x ogf_with_Euler_transform] A029139 6.43851 [1/(x^2+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029139 7.44024 [-x*(18*x^10+18*x^9+2+14*x^4+11*x^3+11*x^2+23*x^7+11*x^6+11*x^5+5*x+20*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A029140 17.6809 [x^9+x^3+x^2+x ogf_with_Euler_transform] A029140 4.41075 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A029141 17.5057 [x^10+x^3+x^2+x ogf_with_Euler_transform] A029141 4.60833 [1/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029142 17.7963 [x^11+x^3+x^2+x ogf_with_Euler_transform] A029142 4.68436 [1/(x^2-x+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029142 6.67103 [-x*(2+3*x+6*x^2+5*x^4+6*x^6+3*x^7+2*x^8+21*x^10)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A029143 18.1121 [x^5+x^4+x^2+x ogf_with_Euler_transform] A029143 6.12231 [-x*(2+23*x^4+12*x^3+7*x^2+16*x^7+18*x^6+21*x^5+5*x+16*x^8)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A029143 6.66565 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029144 16.0532 [x*(x^5+x^3+x+1) ogf_with_Euler_transform] A029144 8.70012 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029145 16.2248 [x*(x^6+x^3+x+1) ogf_with_Euler_transform] A029145 8.24948 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029146 26.8159 [x^8+x^4+x^2+x ogf_with_Euler_transform] A029146 8.65554 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029147 18.0597 [x^9+x^4+x^2+x ogf_with_Euler_transform] A029147 5.10866 [-x*(20*x^10+20*x^9+2+12*x^4+10*x^3+7*x^2+5*x^7+7*x^6+10*x^5+5*x+22*x^8)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A029147 6.51598 [1/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029148 21.5605 [x^10+x^4+x^2+x ogf_with_Euler_transform] A029148 7.34246 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029149 20.8247 [x^11+x^4+x^2+x ogf_with_Euler_transform] A029149 7.09238 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029150 16.5923 [x*(x^5+x^4+x+1) ogf_with_Euler_transform] A029150 4.88054 [1/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029150 5.16266 [-x*(18*x^10+18*x^9+2+18*x^4+7*x^3+7*x^2+23*x^7+25*x^6+25*x^5+5*x+20*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A029151 16.2978 [x*(x^6+x^4+x+1) ogf_with_Euler_transform] A029151 5.83605 [1/(x^2+1)/(x^2-x+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029151 5.93709 [-x*(19*x^10+2+15*x^4+3*x^3+4*x^2+3*x^7+23*x^6+3*x^5+3*x+21*x^8)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A029152 6.07237 [1/(x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029152 6.24388 [-x*(20*x^10+2+14*x^4+2*x^3+2*x^2+23*x^7+2*x^6+2*x^5+3*x+2*x^8)/(x^6+x^3+1)/(x^2-x+1)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A029153 23.4099 [x^9+x^5+x^2+x ogf_with_Euler_transform] A029153 5.79479 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029154 17.8446 [x^10+x^5+x^2+x ogf_with_Euler_transform] A029154 4.82943 [1/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029155 14.8919 [x^11+x*(x^4+x+1) ogf_with_Euler_transform] A029155 4.58566 [1/(x^2+1)/(x^4-x^2+1)/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029155 6.68877 [-x*(2+3*x+2*x^2+11*x^4+2*x^6+3*x^7+2*x^8+23*x^10)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A029156 18.2484 [x^7+x^6+x^2+x ogf_with_Euler_transform] A029156 4.94958 [1/(x^2+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029157 14.8245 [x^8+x^6+x*(x+1) ogf_with_Euler_transform] A029157 5.98190 [1/(x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029158 5.88584 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029159 4.55529 [1/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029160 4.78634 [1/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029161 14.9785 [(1/x^6+1)*(x^8+x^7) ogf_with_Euler_transform] A029161 4.90487 [1/(x^2+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029162 15.2228 [x^9+x^7+x*(x+1) ogf_with_Euler_transform] A029162 6.14151 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029163 14.6260 [x^10+x^7+(x+1)*x ogf_with_Euler_transform] A029163 6.03184 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029164 4.48950 [1/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029165 14.9510 [(1/x^7+1)*(x^9+x^8) ogf_with_Euler_transform] A029165 4.72424 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029166 14.8642 [x^10+x^8+x*(x+1) ogf_with_Euler_transform] A029166 5.91823 [1/(x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029167 11.2543 [x^2+x+(x+1)*x^8*(x^2-x+1) ogf_with_Euler_transform] A029167 5.94165 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029168 14.9242 [(1/x^8+1)*(x^10+x^9) ogf_with_Euler_transform] A029168 4.92308 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029169 14.7455 [x^11+x^9+x*(x+1) ogf_with_Euler_transform] A029169 6.02634 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029170 14.4318 [(1/x^9+1)*(x^11+x^10) ogf_with_Euler_transform] A029170 4.86411 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029171 17.8705 [x^5+x^4+x^3+x ogf_with_Euler_transform] A029171 5.82617 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A029172 14.8491 [x*(x^5+x^3+x^2+1) ogf_with_Euler_transform] A029172 6.57986 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029173 14.8245 [x*(x^6+x^3+x^2+1) ogf_with_Euler_transform] A029173 4.62050 [1/(x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029173 5.56178 [-x*(19*x^10+19*x^9+2+15*x^4+13*x^3+8*x^2+21*x^7+27*x^6+13*x^5+2*x+21*x^8)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A029174 18.0298 [x^8+x^4+x^3+x ogf_with_Euler_transform] A029174 5.82585 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029175 18.1074 [x^9+x^4+x^3+x ogf_with_Euler_transform] A029175 4.48529 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029175 6.21158 [-x*(2+8*x^2+5*x^3+8*x^4+5*x^5+8*x^6+23*x^8+21*x^10)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A029176 17.9197 [x^10+x^4+x^3+x ogf_with_Euler_transform] A029176 4.99091 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029177 23.3667 [x^11+x^4+x^3+x ogf_with_Euler_transform] A029177 5.93933 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029178 14.7347 [x*(x^5+x^4+x^2+1) ogf_with_Euler_transform] A029178 5.99921 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A029179 18.1836 [x^8+x^5+x^3+x ogf_with_Euler_transform] A029179 5.36164 [-x*(21*x^12+23*x^10+21*x^9+2+14*x^4+2*x^3+8*x^2+23*x^7+14*x^6+8*x^5+8*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A029179 6.03184 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029180 17.7781 [x^10+x^5+x^3+x ogf_with_Euler_transform] A029180 5.79738 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A029181 15.0416 [x*(x^6+x^5+x^2+1) ogf_with_Euler_transform] A029181 4.53107 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029182 6.47939 [1/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029183 4.61424 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029184 5.95743 [1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029185 4.48244 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029186 13.6199 [x^8+x^7+(x^2+1)*x ogf_with_Euler_transform] A029186 4.55831 [1/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029187 17.9204 [x^10+x^7+x^3+x ogf_with_Euler_transform] A029187 4.49747 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029188 13.9817 [x^9+x^8+(x^2+1)*x ogf_with_Euler_transform] A029188 4.64703 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^3/(x-1)^4 ogf] A029189 14.3880 [(1/x^7+1)*(x^10+x^8) ogf_with_Euler_transform] A029189 6.20998 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029190 4.59103 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029191 13.3719 [x^10+x^9+(x^2+1)*x ogf_with_Euler_transform] A029191 4.38684 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029192 12.9479 [x^11+x^10+(x^2+1)*x ogf_with_Euler_transform] A029192 4.44900 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029193 15.1322 [x*(x^5+x^4+x^3+1) ogf_with_Euler_transform] A029193 5.94570 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029194 14.9510 [x*(x^6+x^4+x^3+1) ogf_with_Euler_transform] A029194 5.82384 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029195 18.3692 [x^8+x^5+x^4+x ogf_with_Euler_transform] A029195 4.83974 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029196 18.5545 [x^9+x^5+x^4+x ogf_with_Euler_transform] A029196 4.68865 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029197 17.8498 [x^10+x^5+x^4+x ogf_with_Euler_transform] A029197 5.92153 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029198 13.4014 [x^11+x*(x^4+x^3+1) ogf_with_Euler_transform] A029198 4.57634 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029199 15.3472 [x*(x^6+x^5+x^3+1) ogf_with_Euler_transform] A029199 6.19070 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029200 8.30459 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029201 6.50816 [1/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029202 5.74976 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029203 8.87813 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029204 18.1101 [x^8+x^7+x^4+x ogf_with_Euler_transform] A029204 4.45511 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029205 18.3323 [x^9+x^7+x^4+x ogf_with_Euler_transform] A029205 5.87048 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029206 10.8091 [(-1/x^12+1)/(x-1)*x^13/(x^2+x+1) ogf_with_Euler_transform] A029206 4.91810 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029207 4.69279 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029208 18.1101 [x^9+x^8+x^4+x ogf_with_Euler_transform] A029208 4.54542 [1/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029209 6.06672 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029210 4.75156 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029211 17.8118 [x^10+x^9+x^4+x ogf_with_Euler_transform] A029211 4.56022 [1/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029212 6.14631 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029213 4.60547 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^4 ogf] A029214 14.9818 [x*(x^6+x^5+x^4+1) ogf_with_Euler_transform] A029214 6.04329 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029215 17.9989 [x^8+x^6+x^5+x ogf_with_Euler_transform] A029215 5.96960 [1/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029216 18.2932 [x^9+x^6+x^5+x ogf_with_Euler_transform] A029216 4.49982 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029217 4.78502 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029218 4.54447 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029219 18.0701 [x^8+x^7+x^5+x ogf_with_Euler_transform] A029219 5.93971 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029220 20.2792 [x^10+x^7+x^5+x ogf_with_Euler_transform] A029220 6.55277 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029221 18.2522 [x^9+x^8+x^5+x ogf_with_Euler_transform] A029221 4.58039 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029222 5.87979 [1/(x^2-x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029223 4.58039 [1/(x^2+1)/(x^4-x^2+1)/(x^6+x^3+1)/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029224 17.9488 [x^10+x^9+x^5+x ogf_with_Euler_transform] A029224 4.47451 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029225 4.59463 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029226 18.1817 [x^8+x^7+x^6+x ogf_with_Euler_transform] A029226 5.97637 [1/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029227 18.4761 [x^9+x^7+x^6+x ogf_with_Euler_transform] A029227 6.12692 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029228 17.8809 [x^10+x^7+x^6+x ogf_with_Euler_transform] A029228 4.48721 [1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029229 4.58039 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029230 18.3641 [x^9+x^8+x^6+x ogf_with_Euler_transform] A029230 5.98295 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029231 17.6628 [x^10+x^8+x^6+x ogf_with_Euler_transform] A029231 8.21633 [1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029232 5.80169 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029233 17.6628 [x^10+x^9+x^6+x ogf_with_Euler_transform] A029233 4.40352 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029234 6.05841 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029235 4.44723 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^4 ogf] A029236 18.4339 [x^9+x^8+x^7+x ogf_with_Euler_transform] A029236 6.05841 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029237 17.8394 [x^10+x^8+x^7+x ogf_with_Euler_transform] A029237 6.02147 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029238 16.4327 [x+x^7*(x^4+x+1) ogf_with_Euler_transform] A029238 4.41994 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029239 17.5111 [x^10+x^9+x^7+x ogf_with_Euler_transform] A029239 5.85879 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029240 14.9350 [x+x^7*(x^4+x^3+1) ogf_with_Euler_transform] A029241 17.7300 [x^10+x^9+x^8+x ogf_with_Euler_transform] A029241 5.73094 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029242 17.9059 [x^11+x^9+x^8+x ogf_with_Euler_transform] A029243 17.3398 [x^11+x^10+x^8+x ogf_with_Euler_transform] A029244 17.4032 [x^11+x^10+x^9+x ogf_with_Euler_transform] A029245 16.6085 [x^6+x^4+x^3+x^2 ogf_with_Euler_transform] A029245 6.15995 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A029246 16.4096 [x^7+x^4+x^3+x^2 ogf_with_Euler_transform] A029246 5.87449 [1/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029247 16.4772 [x^8+x^4+x^3+x^2 ogf_with_Euler_transform] A029247 5.89821 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029248 15.1645 [(1/x^5+1/x^7+1/x^6+1)*x^9 ogf_with_Euler_transform] A029248 4.56736 [1/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029249 14.6562 [(1/x^7+1/x^6+1/x^8+1)*x^10 ogf_with_Euler_transform] A029249 4.51233 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A029250 14.5668 [(1/x^9+1/x^7+1/x^8+1)*x^11 ogf_with_Euler_transform] A029250 4.91038 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029251 16.4772 [x^6+x^5+x^3+x^2 ogf_with_Euler_transform] A029251 6.58538 [1/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029252 16.4435 [x^7+x^5+x^3+x^2 ogf_with_Euler_transform] A029252 4.63595 [1/(x^2-x+1)/(x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029252 6.34644 [-x^2*(21*x^9+13*x^3+3*x^2+4*x+3*x^6+25*x^5+3*x^4+3+21*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A029253 16.7099 [x^8+x^5+x^3+x^2 ogf_with_Euler_transform] A029253 5.46893 [-x^2*(22*x^11+22*x^9+25*x^8+16*x^3+3*x^2+4*x+25*x^6+16*x^5+4*x^4+3+4*x^7)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A029253 5.92897 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029254 14.8905 [(1/x^6+1/x^4+1/x^7+1)*x^9 ogf_with_Euler_transform] A029254 6.06056 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029255 14.7141 [(1/x^5+1/x^8+1/x^7+1)*x^10 ogf_with_Euler_transform] A029255 4.49982 [1/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029256 14.8612 [x^11+x^2*(x^3+x+1) ogf_with_Euler_transform] A029256 4.66813 [1/(x^4-x^2+1)/(x^2+1)^2/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029256 7.66355 [-x^2*(3+4*x+9*x^3+4*x^5+3*x^6+25*x^9)/(x^2-x+1)/(x^2+x+1)/(x^2+1)/(x-1)/(x+1)/(x^4-x^2+1) lgdogf] A029257 16.3432 [x^7+x^6+x^3+x^2 ogf_with_Euler_transform] A029257 6.46848 [1/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029258 16.2430 [x^8+x^6+x^3+x^2 ogf_with_Euler_transform] A029258 5.71449 [1/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029259 8.28626 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029260 8.28626 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^4 ogf] A029261 14.5347 [x^11+x^2*(x^4+x+1) ogf_with_Euler_transform] A029261 5.68803 [1/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029262 16.4079 [x^8+x^7+x^3+x^2 ogf_with_Euler_transform] A029262 4.89370 [1/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029263 16.5085 [x^9+x^7+x^3+x^2 ogf_with_Euler_transform] A029263 4.59103 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029264 16.1779 [x^10+x^7+x^3+x^2 ogf_with_Euler_transform] A029264 6.08979 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029265 5.45645 [-x^2*(27*x^13+3*x^10+31*x^9+3*x^3+4*x+3*x^6+16*x^5+3*x^4+3+3*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A029265 5.91565 [1/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A029266 14.8577 [(1/x^6+1)*(x^9+x^8) ogf_with_Euler_transform] A029266 4.82868 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029267 14.7712 [x^10+x^8+x^2*(x+1) ogf_with_Euler_transform] A029267 4.60849 [1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029268 5.91565 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029268 9.90748 [(x+1)*x^2+(x+1)*x^8*(x^2-x+1) ogf_with_Euler_transform] A029269 14.5910 [(1/x^7+1)*(x^10+x^9) ogf_with_Euler_transform] A029269 4.81242 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029270 12.7421 [x^2*(x+1)+x^9*(x^2+1) ogf_with_Euler_transform] A029270 4.43070 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029271 14.2806 [(1/x^8+1)*(x^11+x^10) ogf_with_Euler_transform] A029271 4.67874 [1/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029272 16.2430 [x^6+x^5+x^4+x^2 ogf_with_Euler_transform] A029272 4.45730 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029273 16.4079 [x^7+x^5+x^4+x^2 ogf_with_Euler_transform] A029273 6.55660 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029274 16.4079 [x^8+x^5+x^4+x^2 ogf_with_Euler_transform] A029274 6.02973 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^3/(x-1)^4 ogf] A029275 16.3072 [x^9+x^5+x^4+x^2 ogf_with_Euler_transform] A029275 4.44495 [1/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029275 5.00886 [-x^2*(24*x^11+24*x^9+3*x^8+9*x^3+8*x^2+8*x^6+9*x^5+8*x^4+3+24*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A029276 13.3719 [x^10+x^2*(x^3+x^2+1) ogf_with_Euler_transform] A029276 6.04673 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029277 13.5066 [x^11+x^2*(x^3+x^2+1) ogf_with_Euler_transform] A029277 4.48938 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029278 19.5845 [x^7+x^6+x^4+x^2 ogf_with_Euler_transform] A029278 7.12962 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029279 5.99274 [1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029280 4.60849 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029281 16.1779 [x^11+x^6+x^4+x^2 ogf_with_Euler_transform] A029281 5.87979 [1/(x+1)/(x^2+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029282 16.4715 [x^8+x^7+x^4+x^2 ogf_with_Euler_transform] A029282 5.79399 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029283 16.4715 [x^9+x^7+x^4+x^2 ogf_with_Euler_transform] A029283 6.21924 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029284 8.16561 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029285 5.96865 [1/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029286 16.5341 [x^9+x^8+x^4+x^2 ogf_with_Euler_transform] A029286 4.59747 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029287 16.1404 [x^10+x^8+x^4+x^2 ogf_with_Euler_transform] A029287 4.75822 [1/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029288 5.86574 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^2+x+1)^3/(x-1)^4 ogf] A029289 13.5579 [x^10+x^9+(x^2+1)*x^2 ogf_with_Euler_transform] A029289 4.56662 [1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029290 13.6649 [x^4+x^2+x^9*(x^2+1) ogf_with_Euler_transform] A029290 4.80055 [1/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029291 12.6005 [x^10*(x+1)+x^2*(x^2+1) ogf_with_Euler_transform] A029291 4.58331 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029292 16.2065 [x^7+x^6+x^5+x^2 ogf_with_Euler_transform] A029292 4.53771 [1/(x^2+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029293 16.4327 [x^8+x^6+x^5+x^2 ogf_with_Euler_transform] A029293 5.98452 [1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A029294 16.0673 [x^9+x^6+x^5+x^2 ogf_with_Euler_transform] A029294 6.18002 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029295 4.37777 [1/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029296 13.4748 [x^11+x^2*(x^4+x^3+1) ogf_with_Euler_transform] A029296 4.56926 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029297 16.2298 [x^8+x^7+x^5+x^2 ogf_with_Euler_transform] A029297 5.91064 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029298 4.44902 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029298 9.62484 [(-1/x^9+1/x^7-1/x^6+1)/(x-1)*x^11/(x+1) ogf_with_Euler_transform] A029299 6.24207 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029300 4.51285 [1/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029300 5.67021 [-x^2*(29*x^13+3*x^10+29*x^9+9*x^3+3*x^6+8*x^5+3*x^4+3+9*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A029301 16.1885 [x^9+x^8+x^5+x^2 ogf_with_Euler_transform] A029301 5.84346 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029302 5.76996 [1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A029303 15.9024 [x^10+x^9+x^5+x^2 ogf_with_Euler_transform] A029303 4.49895 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029304 4.28714 [1/(x^2+1)/(x^4-x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029305 4.32982 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029305 9.43051 [(x+1)*x^10+(x+1)*x^2*(x^2-x+1) ogf_with_Euler_transform] A029306 16.5341 [x^8+x^7+x^6+x^2 ogf_with_Euler_transform] A029306 4.47649 [1/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029307 16.3312 [x^9+x^7+x^6+x^2 ogf_with_Euler_transform] A029307 5.94758 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029308 5.83686 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029309 4.84802 [1/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029310 16.3921 [x^9+x^8+x^6+x^2 ogf_with_Euler_transform] A029310 5.96933 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029311 15.9024 [x^10+x^8+x^6+x^2 ogf_with_Euler_transform] A029311 4.38133 [1/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029312 5.89517 [1/(x+1)/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A029313 16.1601 [x^10+x^9+x^6+x^2 ogf_with_Euler_transform] A029313 5.77254 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029314 5.73691 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029315 4.51303 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029316 16.2903 [x^9+x^8+x^7+x^2 ogf_with_Euler_transform] A029316 4.49895 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029317 14.8965 [x^2+x^7*(x^3+x+1) ogf_with_Euler_transform] A029317 5.75000 [1/(x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029318 17.3119 [x^2+x^7*(x^4+x+1) ogf_with_Euler_transform] A029318 6.91563 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029319 16.0603 [x^10+x^9+x^7+x^2 ogf_with_Euler_transform] A029319 5.93820 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029320 15.9606 [x^11+x^9+x^7+x^2 ogf_with_Euler_transform] A029320 4.36851 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029321 13.7296 [x^2+x^7*(x^4+x^3+1) ogf_with_Euler_transform] A029322 15.8608 [x^10+x^9+x^8+x^2 ogf_with_Euler_transform] A029322 4.45697 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029323 14.9089 [x^2+x^8*(x^3+x+1) ogf_with_Euler_transform] A029323 5.90546 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029324 13.5197 [x^2+x^8*(x^3+x^2+1) ogf_with_Euler_transform] A029325 15.7986 [x^11+x^10+x^9+x^2 ogf_with_Euler_transform] A029326 14.8697 [1/720*x^3*(x^3+6*x^2+30*x+120) egf]_with_Euler_transform] A029326 5.67357 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029327 16.6736 [x^7+x^5+x^4+x^3 ogf_with_Euler_transform] A029327 4.54447 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029328 16.4715 [x^8+x^5+x^4+x^3 ogf_with_Euler_transform] A029328 5.99909 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029329 16.2694 [x^9+x^5+x^4+x^3 ogf_with_Euler_transform] A029329 5.97839 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029330 14.5010 [(1/x^7+1/x^6+1/x^5+1)*x^10 ogf_with_Euler_transform] A029330 5.97839 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029331 14.5010 [x^11+x^3*(x^2+x+1) ogf_with_Euler_transform] A029331 4.52419 [1/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029332 16.4715 [x^7+x^6+x^4+x^3 ogf_with_Euler_transform] A029332 4.77392 [1/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029333 16.2694 [x^8+x^6+x^4+x^3 ogf_with_Euler_transform] A029333 5.92549 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029334 4.47649 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029335 14.6465 [x^10+x^3*(x^3+x+1) ogf_with_Euler_transform] A029335 5.82975 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029336 14.6465 [x^11+x^3*(x^3+x+1) ogf_with_Euler_transform] A029336 6.03796 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029337 16.2298 [x^8+x^7+x^4+x^3 ogf_with_Euler_transform] A029337 6.42213 [1/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029338 16.0673 [x^9+x^7+x^4+x^3 ogf_with_Euler_transform] A029338 4.35041 [1/(x^4-x^3+x^2-x+1)/(x^4+1)/(x^2+1)^2/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029339 4.58597 [1/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029340 5.81495 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A029341 21.7407 [x^9+x^8+x^4+x^3 ogf_with_Euler_transform] A029341 8.51366 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029342 5.91696 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A029343 5.84346 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029344 14.5196 [(1/x^6+1)*(x^10+x^9) ogf_with_Euler_transform] A029344 4.65517 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029345 12.5232 [x^3*(x+1)+x^9*(x^2+1) ogf_with_Euler_transform] A029345 4.47083 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^2+1)^2/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029346 13.4907 [(x+1)*x^3+(x+1)*x^10 ogf_with_Euler_transform] A029346 4.83539 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029347 16.4327 [x^7+x^6+x^5+x^3 ogf_with_Euler_transform] A029347 4.44902 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029348 16.4327 [x^8+x^6+x^5+x^3 ogf_with_Euler_transform] A029348 4.86512 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029349 16.2298 [x^9+x^6+x^5+x^3 ogf_with_Euler_transform] A029349 5.70856 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029350 13.5250 [x^10+x^3*(x^3+x^2+1) ogf_with_Euler_transform] A029350 6.00640 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029351 13.4415 [x^11+x^3*(x^3+x^2+1) ogf_with_Euler_transform] A029351 4.40872 [1/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029352 16.3921 [x^8+x^7+x^5+x^3 ogf_with_Euler_transform] A029352 4.55766 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029353 15.9606 [x^10+x^7+x^5+x^3 ogf_with_Euler_transform] A029353 4.39706 [1/(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029354 5.95354 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029355 4.86543 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029356 4.38498 [1/(x^4-x^2+1)/(x^6+x^3+1)/(x^2+1)^2/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029357 15.7611 [x^10+x^9+x^5+x^3 ogf_with_Euler_transform] A029357 5.63001 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A029358 12.5023 [x^10*(x+1)+x^3*(x^2+1) ogf_with_Euler_transform] A029358 4.51639 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029359 16.2903 [x^8+x^7+x^6+x^3 ogf_with_Euler_transform] A029359 4.52935 [1/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029360 16.3499 [x^9+x^7+x^6+x^3 ogf_with_Euler_transform] A029360 4.39706 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029361 10.7832 [x^3*(x+1)*(x^2-x+1)*(x^4+1) ogf_with_Euler_transform] A029361 6.34746 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029362 5.86250 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A029363 16.4520 [x^9+x^8+x^6+x^3 ogf_with_Euler_transform] A029363 4.42454 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029364 5.80633 [1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029365 4.82230 [1/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029366 5.68561 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A029367 4.51639 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029368 5.63352 [1/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029369 16.3060 [x^9+x^8+x^7+x^3 ogf_with_Euler_transform] A029369 4.50270 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029370 14.6697 [x^3+x^7*(x^3+x+1) ogf_with_Euler_transform] A029370 4.32982 [1/(x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029371 5.77038 [1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A029372 15.6725 [x^10+x^9+x^7+x^3 ogf_with_Euler_transform] A029372 4.40347 [1/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A029374 15.9739 [x^10+x^9+x^8+x^3 ogf_with_Euler_transform] A029374 4.48815 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029375 14.9605 [x^3+x^8*(x^3+x+1) ogf_with_Euler_transform] A029376 13.5664 [x^3+x^8*(x^3+x^2+1) ogf_with_Euler_transform] A029377 14.9170 [x^3+x^9*(x^2+x+1) ogf_with_Euler_transform] A029378 14.5096 [1/5040*x^4*(x^3+7*x^2+42*x+210) egf]_with_Euler_transform] A029378 5.59830 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029379 16.3921 [x^8+x^6+x^5+x^4 ogf_with_Euler_transform] A029379 4.55766 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029380 16.2903 [x^9+x^6+x^5+x^4 ogf_with_Euler_transform] A029380 4.49895 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029381 5.75000 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029382 14.4816 [x^11+x^4*(x^2+x+1) ogf_with_Euler_transform] A029382 5.71407 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A029383 16.5542 [x^8+x^7+x^5+x^4 ogf_with_Euler_transform] A029383 4.76336 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029384 16.3499 [x^9+x^7+x^5+x^4 ogf_with_Euler_transform] A029384 4.39706 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029385 5.91634 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029386 14.7164 [x^11+x^4*(x^3+x+1) ogf_with_Euler_transform] A029386 4.55934 [1/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029387 16.1455 [x^9+x^8+x^5+x^4 ogf_with_Euler_transform] A029387 4.74529 [1/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029388 7.70464 [1/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029389 4.53102 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^6+x^3+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029390 15.5173 [x^10+x^9+x^5+x^4 ogf_with_Euler_transform] A029390 6.00022 [1/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029391 12.4197 [x^4*(x+1)+x^9*(x^2+1) ogf_with_Euler_transform] A029391 4.28910 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029392 13.2951 [(x+1)*x^4+(x+1)*x^10 ogf_with_Euler_transform] A029392 6.11939 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A029393 16.2477 [x^8+x^7+x^6+x^4 ogf_with_Euler_transform] A029393 4.39833 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029394 16.3060 [x^9+x^7+x^6+x^4 ogf_with_Euler_transform] A029394 4.79216 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029395 4.41256 [1/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^4 ogf] A029396 13.5024 [x^11+x^4*(x^3+x^2+1) ogf_with_Euler_transform] A029396 5.99520 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029397 16.1009 [x^9+x^8+x^6+x^4 ogf_with_Euler_transform] A029397 4.32982 [1/(x+1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029398 12.5023 [(-1/x^8+1)*x^12/(x+1)/(x-1) ogf_with_Euler_transform] A029398 4.83899 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029399 5.88279 [1/(x+1)/(x^2+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029400 15.8734 [x^10+x^9+x^6+x^4 ogf_with_Euler_transform] A029400 4.45993 [1/(x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A029401 6.27160 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029402 12.3887 [x^10*(x+1)+x^4*(x^2+1) ogf_with_Euler_transform] A029403 16.3635 [x^9+x^8+x^7+x^4 ogf_with_Euler_transform] A029403 4.51828 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x^6+x^3+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029404 4.48986 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x^6+x^3+1)/(x-1)^4 ogf] A029405 11.0364 [x^4*(x+1)*(x^2-x+1)*(x^4+1) ogf_with_Euler_transform] A029405 4.69106 [1/(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^2+x+1)^2/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A029406 15.7267 [x^10+x^9+x^7+x^4 ogf_with_Euler_transform] A029406 4.30368 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029409 14.5842 [x^4+x^8*(x^2+x+1) ogf_with_Euler_transform] A029410 14.9667 [x^4+x^8*(x^3+x+1) ogf_with_Euler_transform] A029411 13.7450 [x^4+x^8*(x^3+x^2+1) ogf_with_Euler_transform] A029412 14.8258 [x^4+x^9*(x^2+x+1) ogf_with_Euler_transform] A029413 14.0318 [1/40320*x^5*(x^3+8*x^2+56*x+336) egf]_with_Euler_transform] A029413 5.51184 [1/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029414 16.4664 [x^9+x^7+x^6+x^5 ogf_with_Euler_transform] A029414 4.54670 [1/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A029415 15.8734 [x^10+x^7+x^6+x^5 ogf_with_Euler_transform] A029415 4.48986 [1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A029416 14.3097 [x^11+x^5*(x^2+x+1) ogf_with_Euler_transform] A029416 4.31713 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029417 16.2606 [x^9+x^8+x^6+x^5 ogf_with_Euler_transform] A029417 4.77849 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029418 4.44288 [1/(x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A029419 4.54877 [1/(x^2+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A029420 11.4613 [(-1/x^8+1)/(x^2+1)*x^13/(x-1) ogf_with_Euler_transform] A029421 4.53327 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A029422 13.3848 [(x+1)*x^5+(x+1)*x^10 ogf_with_Euler_transform] A029422 4.76196 [1/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x+1)^2/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A029423 16.4201 [x^9+x^8+x^7+x^5 ogf_with_Euler_transform] A029423 4.41511 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A029424 16.0836 [x^10+x^8+x^7+x^5 ogf_with_Euler_transform] A029424 4.84119 [1/(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A029425 4.50629 [1/(x^6+x^3+1)/(x^4+1)/(x^4-x^2+1)/(x^2+1)^2/(x^2-x+1)^2/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A029426 16.1373 [x^10+x^9+x^7+x^5 ogf_with_Euler_transform] A029426 4.53327 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x+1)^3/(x-1)^4 ogf] A029428 15.9343 [x^10+x^9+x^8+x^5 ogf_with_Euler_transform] A029431 14.7782 [x^5+x^9*(x^2+x+1) ogf_with_Euler_transform] A029432 13.5649 [1/362880*x^6*(x^3+9*x^2+72*x+504) egf]_with_Euler_transform] A029432 5.38538 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A029433 15.7801 [x^10+x^8+x^7+x^6 ogf_with_Euler_transform] A029433 4.34626 [1/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A029434 14.5487 [x^11+x^6*(x^2+x+1) ogf_with_Euler_transform] A029435 15.8328 [x^10+x^9+x^7+x^6 ogf_with_Euler_transform] A029437 11.5028 [(-1/x^8+1)/(x^2+1)*x^14/(x-1) ogf_with_Euler_transform] A029438 15.8848 [x^10+x^9+x^8+x^6 ogf_with_Euler_transform] A029441 14.8251 [x^6+x^9*(x^2+x+1) ogf_with_Euler_transform] A029442 14.6465 [1/3628800*x^7*(x^3+10*x^2+90*x+720) egf]_with_Euler_transform] A029442 5.97508 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^4 ogf] A029443 15.6295 [x^11+x^9+x^8+x^7 ogf_with_Euler_transform] A029444 15.5147 [x^11+x^10+x^8+x^7 ogf_with_Euler_transform] A029445 15.3622 [x^11+x^10+x^9+x^7 ogf_with_Euler_transform] A029446 11.9587 [1/39916800*x^8*(x^3+11*x^2+110*x+990) egf]_with_Euler_transform] A029546 14.1592 [-(35-70*x+3*x^2)/(x-1)/(x^2-34*x+1) lgdogf] A029546 17.2172 [-1/(x-1)/(x^2-34*x+1) ogf] A029546 5.69043 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=35,a(2)=1190} ogf] A029546 6.16029 [(1332903*f(x)-103)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+1) ogf] A029547 10.7733 [-1/2*(-1-34*x+(36*x+1)^(1/2)*(32*x+1)^(1/2))/x revogf] A029547 14.8943 [1/(x^2-34*x+1) ogf] A029547 21.5467 [-2*(-17+x)/(x^2-34*x+1) lgdogf] A029547 6.02863 [{-a(n+2)+34*a(n+1)-a(n),a(0)=1,a(1)=34} ogf] A029547 7.99371 [(577*f(x)+1)*(f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A029548 10.7733 [-1/2*(-32*x-1+(30*x+1)^(1/2)*(1+34*x)^(1/2))/x revogf] A029548 14.8943 [1/(x^2-32*x+1) ogf] A029548 21.5467 [-2*(-16+x)/(x^2+1-32*x) lgdogf] A029548 6.02863 [{-a(n+2)+32*a(n+1)-a(n),a(0)=1,a(1)=32} ogf] A029548 6.02864 [(511*f(x)+1)*(f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A029549 11.7393 [-6*x/(x-1)/(x^2-34*x+1) ogf] A029549 13.3081 [-(35-70*x+3*x^2)/(x-1)/(x^2-34*x+1) lgdogf] A029549 4.79778 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=210} ogf] A029549 6.98412 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+6*x ogf] A029552 15.2332 [-(-3*x^2+2*x-3)/(-x^4+1) ogf_with_Euler_transform] A029552 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)*2^(3/8) A029571 14.1009 [1/48*(-48+24*x^3-24*x^4-x^7+x^8)/(x-1) lgdegf] A029571 3.06192 [-48*x^4*(x^7+x^6+x^5+x^4-23*x^3-960)/(23*x^11-960*x^9+576*x^8+552*x^7-23040*x^5+18432*x^4+4416*x^3-184320*x+184320) egf] A029572 10.8508 [-60*x^5/(x-1)/(x^10+30*x^5+300) egf] A029572 22.4333 [-(30+16*x^5-15*x^4)/(x-1)/(x^5+30) lgdegf] A029573 7.22004 [-72*x^6*(x+1)*(x^2-x+1)*(x^2+x+1)/(35*x^12+396*x^6-432) egf] A029574 6.16916 [2*x^7*(x^6+x^5+42*x^2+42*x+42)/(x^12-42*x^10+28*x^7+14*x^5-588*x^3+588) egf] A029575 15.4169 [-2*x^8/(x-1)/(x^8+16) egf] A029576 12.012 [f(x)*(x^9+9*f(x)*x-9*f(x)) egf] A029576 14.5958 [(4*x+2+x^6+x^7)/(-4*x^2+2+2*x+x^6) lgdegf] A029576 14.7647 [-2*x^9/(x-1)/(x^9+18) egf] A029577 13.8563 [-2*x^10/(x-1)/(x^10+20) egf] A029577 24.2039 [a(n+1)-a(n),a(0)=1 lgdegf] A029578 15.7061 [x^2*(2*x+1)/(x-1)^2/(x+1)^2 ogf] A029578 24.6288 [-2*(1+2*x+3*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A029578 6.04897 [{(-3*n^2-7*n-2)*a(n+1)+4*a(n+2)+(3*n^2+n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A029578 9.6263 [(2*f(x)-1)*(f(x)*x^4-2*f(x)*x^2-2*x^3-x^2+f(x)) ogf] A029579 15.6564 [(x^3+x+1)/(x-1)^2/(x+1)^2 ogf] A029579 21.8813 [-(1+4*x+x^4+6*x^2)/(x-1)/(x+1)/(x^3+x+1) lgdogf] A029579 9.10628 [-(6*f(x)-65)*(f(x)*x^4-2*f(x)*x^2-x^3+f(x)-x-1) ogf] A029580 5.26506 [-(4094*x^12-2048*x^11-1024*x^10-512*x^9-256*x^8-128*x^7-64*x^6-32*x^5-16*x^4-8*x^3-4*x^2-3*x-1)/(x-1)^2 ogf] A029587 13.2196 [1/48*(-48+24*x^3-24*x^4-x^7+x^8)/(x-1) lgdegf] A029587 5.03191 [8*x^4*(x+1)*(x^2+1)*(x^4-960)/(937*x^12+21912*x^8+161472*x^4-184320) egf] A029588 10.9629 [-5/2*x^5/(x-1)/(x^10+30*x^5+300) egf] A029588 13.6108 [-(30+16*x^5-15*x^4)/(x-1)/(x^5+30) lgdegf] A029594 99.9999 Evaluated at exp(-Pi) 1/256/Pi^(15/4)*3^(1/2)*GAMMA(2/3)/GAMMA(7/8)^8*GAMMA(5/8)^8*GAMMA(11/12)^2*GAMMA(7/12)^3*(17+12*2^(1/2))*(1+3^(1/2))*2^(1/2)*(2+2^(1/2))^(1/2) A029595 99.9999 Evaluated at exp(-Pi) Pi^(3/4)*2^(1/5)/GAMMA(3/4)^3/GAMMA(4/5)^2*GAMMA(9/10)*GAMMA(7/10)*(2+2/5*5^(1/2))*(1/4*5^(1/2)-1/4)*(1/4*5^(1/2)+1/4) A029609 15.4135 [-5/2*(5+3*(1-4*x)^(1/2))/(9*x+4)/(4*x-1) lgdogf] A029609 6.55473 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=5} ogf] A029609 8.06737 [-4*f(x)^2*x+f(x)^2-12*f(x)*x+3*f(x)-9*x-4 ogf] A029651 18.2403 [-3/2*(3+(1-4*x)^(1/2))/(x+2)/(4*x-1) lgdogf] A029651 6.97424 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=3} ogf] A029651 8.69515 [-4*f(x)^2*x+f(x)^2-4*f(x)*x+f(x)-x-2 ogf] A029674 4.40962 [x*(2*x^33-2*x^32-4*x^28+6*x^27+x^26-x^25+4*x^18-6*x^17+x^16-x^15+2*x-3)/(2*x^27-2*x^17-1)/(x-1)^2 ogf] A029697 11.6145 [-4*(5-72*x+720*x^2)/(4*x-1)/(36*x-1)/(20*x-1) lgdogf] A029697 12.3103 [-6*(20*x-1)/(36*x-1)/(4*x-1) ogf] A029697 12.7477 [-1/24*(-3-20*x+(9+256*x^2)^(1/2))/(6*x+5) revogf] A029697 6.21732 [-(728*f(x)-2493)*(144*f(x)*x^2-40*f(x)*x+f(x)+120*x-6) ogf] A029697 7.07488 [{a(n+2)-40*a(n+1)+144*a(n),a(0)=6,a(1)=120} ogf] A029698 4.65327 [-(4542160*f(x)+4179809)*(10000*f(x)*x^3-3000*f(x)*x^2+129*f(x)*x+7000*x^2-f(x)-950*x+10) ogf] A029698 5.16222 [{-a(n+3)+129*a(n+2)-3000*a(n+1)+10000*a(n),a(0)=10,a(1)=340,a(2)=20860} ogf] A029698 8.69426 [-10*(700*x^2-95*x+1)/(100*x-1)/(4*x-1)/(25*x-1) ogf] A029699 14.6513 [-3*(-9-26*x+5*x^2)/(x-1)/(5*x^2-22*x-1) lgdogf] A029699 3.94723 [{(-3-n)*a(n+4)+(-15-21*n)*a(n+3)+(105+27*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=27,a(3)=120} ogf] A029699 9.58613 [x*(5*x^2-22*x-1)/(x-1)^5 ogf] A029700 5.87727 [-x*(481*x^4-1624*x^3+2256*x^2+236*x+1)/(x-1)^7 ogf] A029700 7.01496 [-3*(81+1976*x+481*x^4-1524*x^3+2136*x^2)/(x-1)/(481*x^4-1624*x^3+2256*x^2+236*x+1) lgdogf] A029739 12.0091 [(2*x+1)*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A029739 12.4931 [-(3+5*x+2*x^5+4*x^4+9*x^3+13*x^2)/(x-1)/(2*x+1)/(x^2+1)/(x^2+x+1) lgdogf] A029739 5.02198 [{(-3*n-10)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+7)*a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=7} ogf] A029739 6.90522 [(9*f(x)+22)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A029744 10.4903 [-(3*f(x)-1)*(2*f(x)*x^2+x^2-f(x)+2*x+1) ogf] A029744 16.9130 [-(x+1)^2/(2*x^2-1) ogf] A029744 31.2923 [-2*(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A029744 9.86593 [{-a(n+3)+2*a(n+1),a(0)=1,a(1)=2,a(2)=3} ogf] A029745 13.4861 [-(x^3+6*x^2+2*x+1)/(2*x^2-1) ogf] A029745 15.3848 [(-2-16*x+2*x^4-7*x^2)/(2*x^2-1)/(x^3+6*x^2+2*x+1) lgdogf] A029745 8.00739 [{-a(n+4)+2*a(n+2),a(0)=1,a(1)=2,a(2)=8,a(3)=5} ogf] A029745 8.26569 [-(1307*f(x)+4093)*(2*f(x)*x^2+x^3+6*x^2-f(x)+2*x+1) ogf] A029746 13.2255 [-(3*x^3+2*x^2+2*x+1)/(2*x^2-1) ogf] A029746 14.4902 [(-2-8*x+6*x^4-13*x^2)/(2*x^2-1)/(3*x^3+2*x^2+2*x+1) lgdogf] A029746 7.85266 [{-a(n+4)+2*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A029746 8.97447 [(11*f(x)-7)*(2*f(x)*x^2+3*x^3+2*x^2-f(x)+2*x+1) ogf] A029747 14.6949 [2*(x+1)*(x^3-2*x^2-x-1)/(2*x^3-1)/(x^2+x+1) lgdogf] A029747 5.99006 [{-a(n+5)+2*a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5} ogf] A029747 9.63513 [(2*f(x)-1)*(2*f(x)*x^3+x^4+2*x^3+3*x^2-f(x)+2*x+1) ogf] A029747 9.95271 [-(x^2+x+1)^2/(2*x^3-1) ogf] A029748 11.2490 [-(x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(2*x^3-1) ogf] A029748 9.94576 [(-2-6*x-11*x^4-16*x^3+4*x^7+4*x^6-12*x^2)/(2*x^3-1)/(x^5+2*x^4+2*x^3+3*x^2+2*x+1) lgdogf] A029749 11.3371 [(-2-8*x-8*x^4-20*x^3+6*x^6-15*x^2)/(2*x^3-1)/(3*x^4+3*x^3+4*x^2+2*x+1) lgdogf] A029749 12.4474 [-(3*x^4+3*x^3+4*x^2+2*x+1)/(2*x^3-1) ogf] A029749 7.49149 [{a(n+5)-2*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=5,a(4)=7} ogf] A029749 8.42793 [-(11*f(x)-3)*(2*f(x)*x^3+3*x^4+3*x^3+4*x^2-f(x)+2*x+1) ogf] A029750 12.0781 [2*(-3*x^2-2*x-2*x^4-4*x^3+2*x^6-1)/(x+1)/(x^2+1)/(2*x^4-1) lgdogf] A029750 8.84068 [-(x^2+1)^2*(x+1)^2/(2*x^4-1) ogf] A029759 16.7792 [-(1-6*x+12*x^2)/(-1+3*x)/(2*x-1)/(4*x-1) lgdogf] A029759 3.40399 [{(n+4)*a(n+4)+(-28-9*n)*a(n+3)+(58+26*n)*a(n+2)+(-36-24*n)*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A029759 7.20211 [-16*f(x)^2*x^3+20*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-9*x^2+6*x-1 ogf] A029760 3.92074 [{(-16*n^2-120*n-224)*a(n+1)+(8*n^2+62*n+116)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=8,a(2)=47} ogf] A029760 9.68711 [-16+100*x+(2-28*x+80*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A029766 4.03023 [-x*(3*x^9+3*x^8-4*x^6-x^5-x^4+2*x^3-2*x^2+x-3)/(3*x^10+4*x^9-6*x^8-3*x^6+4*x^5-4*x+3) egf] A029767 6.08904 [{(-2*n^2-2*n)*a(n)+(3*n+3)*a(n+1)-a(n+2),a(0)=0,a(1)=1} ogf] A029769 13.7032 [-(-9*x^2+3*x-6)/(x^3-x^2+x-1) ogf_with_Euler_transform] A029769 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^(9/4)/GAMMA(3/4)^9 A029779 13.6348 [(1000*f(x)*x-f(x)+x)^3 ogf] A029796 8.04013 [-(1000*f(x)*x-f(x)+x)^2 ogf] A029801 9.04739 [f(x)*(100*f(x)*x-f(x)+x)^2 ogf] A029802 8.12373 [-(1000*f(x)*x-f(x)+x)^2 ogf] A029826 8.08610 [-(1-6*x^5-5*x^4-4*x^3+9*x^8-7*x^6-3*x^2+10*x^9)/(-x^3+1+x+x^10-x^5-x^4-x^7-x^6+x^9) lgdogf] A029826 8.13540 [1/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A029835 7.91753 [(-1+14*x^15-15*x^14+2*x^3+6*x^7-7*x^6-33*x^32+32*x^33-3*x^2)/(x-1)/(x^33+x^15+x^7+x^3+1) lgdogf] A029838 17.5912 [-(-x+1)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029838 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(5/8) A029839 16.0885 [-(-2*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029839 99.9999 Evaluated at exp(-Pi) 2*exp(-1/4*Pi)*2^(1/4) A029840 11.7094 [-(-3*x+3)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029840 99.9999 Evaluated at exp(-Pi) 2*exp(-3/8*Pi)*2^(7/8) A029841 11.9228 [-(-4*x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029841 99.9999 Evaluated at exp(-Pi) 4*exp(-1/2*Pi)*2^(1/2) A029842 11.8547 [-(-5*x+5)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029842 99.9999 Evaluated at exp(-Pi) 8*exp(-5/8*Pi)*2^(1/8) A029843 11.3775 [-(-6*x+6)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029843 99.9999 Evaluated at exp(-Pi) 8*exp(-3/4*Pi)*2^(3/4) A029844 11.4131 [-(-7*x+7)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029844 99.9999 Evaluated at exp(-Pi) 16*exp(-7/8*Pi)*2^(3/8) A029845 13.1486 [-(-8*x+8)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A029845 99.9999 Evaluated at exp(-Pi) 32*exp(-Pi) A029858 14.9454 [3*x/(3*x-1)/(x-1) ogf] A029858 15.0957 [-1/6*(-3-4*x+(9+24*x+4*x^2)^(1/2))/x revogf] A029858 21.7379 [-2*(-2+3*x)/(3*x-1)/(x-1) lgdogf] A029858 6.82693 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=3} ogf] A029858 9.37257 [-3*f(x)*x^2+4*f(x)*x-f(x)+3*x ogf] A029862 18.2767 [-(-3*x-1)/(-x^2+1) ogf_with_Euler_transform] A029862 99.9999 Evaluated at exp(-Pi) 2*exp(-5/24*Pi)/Pi^(3/4)*2^(3/8)*GAMMA(3/4)^3 A029863 16.9437 [-(-3*x-2)/(-x^2+1) ogf_with_Euler_transform] A029864 12.3782 [-(-3*x^2-2*x-1)/(-x^3+1) ogf_with_Euler_transform] A029887 13.6945 [-11+144*x+(1-28*x+96*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A029887 4.14005 [{(-16*n^2-136*n-288)*a(n+1)+(8*n^2+62*n+114)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=11,a(2)=82} ogf] A029898 11.8619 [-(1+2*x+2*x^5-13*x^4+14*x^3+5*x^2+7*x^6)/(x-1)/(x+1)/(4*x^4+3*x^3+x^2+1)/(x^2-x+1) lgdogf] A029898 13.5794 [-(4*x^4+3*x^3+x^2+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A029898 9.81479 [f(x)*x^4-f(x)*x^3+4*x^4+3*x^3+f(x)*x+x^2-f(x)+1 ogf] A029906 10.6051 [-(1+4*x+12*x^5+7*x^4+8*x^3)/(-1+x)/(x+1)/(x^2+1)/(2*x^2+x+1) lgdogf] A029906 9.61315 [x*(2*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A029907 11.9994 [-x*(x-1)*(x+1)/(x^2+x-1)^2 ogf] A029907 21.9750 [-2*(-1-x+x^3)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A029907 7.57241 [f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+f(x)-x ogf] A029924 8.09717 [-x*(x^22-x^21-2*x^4-2*x^3-3*x^2-2*x-2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A029925 5.07932 [-(-34-38*x+26*x^8+19*x^6+15*x^5+25*x^7-49*x^4-45*x^3+30*x^9-39*x^2)/(-1+x)/(x^4+x^3+x^2+x+1)/(30*x^5-2*x^4-x^3-2*x^2-2*x-32) lgdogf] A029925 7.41934 [-(30*x^5-2*x^4-x^3-2*x^2-2*x-32)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A029926 7.20096 [(18*x^9+x^8+x^6+x^5+x^3+x-18)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A029929 6.52253 [2*x*(x^7-2*x^6-2*x^5+x^4-6*x^3+3*x^2+2*x-1)/(x+1)^2/(2*x-1)^2/(x-1)^3 ogf] A029929 8.29519 [(-3+9*x+19*x^6+45*x^5+5*x^7-43*x^4-11*x^3+3*x^2)/(x-1)/(2*x-1)/(x+1)/(x^7-2*x^6-2*x^5+x^4-6*x^3+3*x^2+2*x-1) lgdogf] A030053 12.4852 [-63+256*x+(7-60*x+128*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A030053 5.69506 [{(-4*n^2-42*n-110)*a(n+1)+(n^2+11*n+18)*a(n+2),a(0)=1,a(1)=9} ogf] A030054 4.49429 [{(-4*n^2-50*n-156)*a(n+1)+(n^2+13*n+22)*a(n+2),a(0)=1,a(1)=11} ogf] A030054 9.89469 [-99+400*x+(9-76*x+160*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A030055 4.23206 [{(-4*n^2-58*n-210)*a(n+1)+(n^2+15*n+26)*a(n+2),a(0)=1,a(1)=13} ogf] A030055 8.98719 [-143+576*x+(11-92*x+192*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A030056 4.30339 [{(-4*n^2-66*n-272)*a(n+1)+(n^2+17*n+30)*a(n+2),a(0)=1,a(1)=15} ogf] A030056 8.98719 [-195+784*x+(13-108*x+224*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A030060 4.08423 [{(-4*n^2-38*n-90)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=5,a(1)=56} ogf] A030065 10.0720 [x*(x^2-x+1)*(x^2+x+1)^2/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A030065 11.6914 [-(1+3*x+5*x^5+2*x^7+x^6-x^4+14*x^3-x^2)/(x-1)/(1+x)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A030065 22.7785 [-x^5+2*x^3-x^2+x+1 ogf_with_Euler_transform] A030108 4.78706 [-x*(64*x^17-8*x^16-8*x^15-8*x^14-8*x^13-8*x^12-8*x^11-8*x^10-8*x^9+7*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A030110 11.0222 [-2*(1-7*x+18*x^2-16*x^3+x^4)/(x-1)/(-1+2*x)/(x^3-9*x^2+8*x-2) lgdogf] A030110 4.8081 [-(44*f(x)+5)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-9*x^2+f(x)+8*x-2) ogf] A030110 8.86690 [-(x^3-9*x^2+8*x-2)/(2*x-1)/(x-1)^3 ogf] A030112 4.01037 [-(x+1)*(x^2+x-1)*(x^4-x^3-4*x^2+4*x+1)/(x^8+x^7-7*x^6-6*x^5+15*x^4+10*x^3-10*x^2-4*x+1) ogf] A030113 3.36106 [-(x^8-x^7-7*x^6+6*x^5+15*x^4-10*x^3-10*x^2+4*x+1)/(x^9-x^8-8*x^7+7*x^6+21*x^5-15*x^4-20*x^3+10*x^2+5*x-1) ogf] A030114 3.88491 [-(x^9+x^8-8*x^7-7*x^6+21*x^5+15*x^4-20*x^3-10*x^2+5*x+1)/(x+1)/(x^3+x^2-2*x-1)/(x^6-x^5-6*x^4+6*x^3+8*x^2-8*x+1) ogf] A030117 12.0117 [-(7+26*x+6*x^4+24*x^3+41*x^2)/(x-1)/(1+x)/(2*x^3+5*x^2+5*x+1) lgdogf] A030117 7.18484 [4*x^2*(2*x^3+5*x^2+5*x+1)/(x+1)^2/(x-1)^4 ogf] A030118 11.6636 [-(x^3-3*x^2+2*x-1)/(x^2-x+1)/(x-1)^2 ogf] A030118 13.9840 [-(-1+x+x^5+6*x^3-5*x^4-4*x^2)/(x-1)/(x^2-x+1)/(x^3-3*x^2+2*x-1) lgdogf] A030118 4.58215 [{(-n-4)*a(n+1)+(2*n+7)*a(n+2)+(-2*n-7)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A030118 6.3695 [-(2*f(x)+5)*(f(x)*x^4-3*f(x)*x^3+4*f(x)*x^2+x^3-3*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A030119 10.1293 [(x^3-3*x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A030119 11.3105 [-(1+3*x-8*x^2+6*x^3-5*x^4+x^5)/(x-1)/(x^2+x-1)/(x^3-3*x^2+2*x-1) lgdogf] A030119 4.33311 [{(-n-4)*a(n+1)-a(n+2)+(2*n+7)*a(n+3)+(-n-3)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=8} ogf] A030119 5.61121 [(38*f(x)-51)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A030123 10.6975 [-x*(2*x^3-2*x^2-6*x-1)/(x+1)/(x-1)^2 ogf] A030123 15.2233 [-(-10-18*x-3*x^2+3*x^3)/(x-1)/(x+1)/(3*x^2-3*x-7) lgdogf] A030123 5.38564 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=7,a(3)=10,a(4)=14} ogf] A030123 6.05363 [(623*f(x)+23246)*(f(x)*x^3+2*x^4-f(x)*x^2-2*x^3-f(x)*x-6*x^2+f(x)-x) ogf] A030179 5.84502 [-x^2*(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^3/(x-1)^5 ogf] A030179 9.80568 [-4*(1+6*x+x^5+8*x^2+11*x^3+3*x^4)/(x-1)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A030180 11.4130 [-4*(13+78*x+3*x^4+38*x^3+108*x^2)/(x-1)/(3*x^4+28*x^3+58*x^2+28*x+3) lgdogf] A030180 5.88684 [x^2*(3*x^4+28*x^3+58*x^2+28*x+3)/(x-1)^8 ogf] A030181 9.96967 [-(-4*x^5-4*x^4-4*x^3-4*x^2-4*x-4)/(x^7-1) ogf_with_Euler_transform] A030182 13.2597 [-(-12*x-12)/(x^3-1) ogf_with_Euler_transform] A030186 12.2332 [-(x-1)/(x^3-x^2-3*x+1) ogf] A030186 15.8832 [-2*(1+x-2*x^2+x^3)/(x-1)/(x^3-x^2-3*x+1) lgdogf] A030186 5.78895 [{-a(n+3)+3*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A030186 7.00069 [-(96*f(x)-11)*(f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A030187 4.20874 [-(4*x^13+x^12+2*x^11+x^10+2*x^9+x^8+2*x^7+2*x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(-x^14+1) ogf_with_Euler_transform] A030188 12.2268 [-(-4*x^5-x^4-2*x^3-2*x^2-2*x-1)/(x^6-1) ogf_with_Euler_transform] A030189 8.00433 [-(4*x^7+x^6+2*x^5+x^4+3*x^3+x^2+2*x+1)/(-x^8+1) ogf_with_Euler_transform] A030189 99.9999 Evaluated at exp(-Pi) 1/32*exp(5/8*Pi)/Pi*2^(5/16)*GAMMA(5/8)^4/GAMMA(7/8)^4*(3+2*2^(1/2))/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2) A030191 19.9008 [-1/10*(-1-5*x+(1+10*x+5*x^2)^(1/2))/x revogf] A030191 22.7080 [1/(5*x^2-5*x+1) ogf] A030191 30.6804 [-5*(2*x-1)/(5*x^2+1-5*x) lgdogf] A030191 9.02846 [(11*f(x)+14)*(5*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A030191 9.13857 [{-a(n+2)+5*a(n+1)-5*a(n),a(0)=1,a(1)=5} ogf] A030192 12.5348 [-1/12*(-1-6*x+(1+12*x+12*x^2)^(1/2))/x revogf] A030192 19.8467 [-6*(2*x-1)/(6*x^2+1-6*x) lgdogf] A030192 21.8611 [1/(6*x^2-6*x+1) ogf] A030192 8.69179 [(19*f(x)+17)*(6*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A030192 8.79777 [{-a(n+2)+6*a(n+1)-6*a(n),a(0)=1,a(1)=6} ogf] A030195 10.8569 [-3*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A030195 17.3124 [-x/(3*x^2+3*x-1) ogf] A030195 18.0257 [1/6/x*(-1-3*x+(1+6*x+21*x^2)^(1/2)) revogf] A030195 26.2875 [-3*(2*x+1)/(3*x^2-1+3*x) lgdogf] A030195 7.90811 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A030200 6.17906 [-(-2*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^11-1) ogf_with_Euler_transform] A030201 4.47527 [-(2*x^20+x^17+x^14+x^11+x^8+x^5+x^2)/(-x^21+1) ogf_with_Euler_transform] A030202 10.2891 [-(-2*x^4-x^3-x^2-x-1)/(x^5-1) ogf_with_Euler_transform] A030203 11.8951 [-(-2*x^2-x-1)/(x^3-1) ogf_with_Euler_transform] A030204 13.3215 [-(2*x+1)/(-x^2+1) ogf_with_Euler_transform] A030204 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(1/2)*2^(1/8)/GAMMA(3/4)^2 A030205 10.0993 [-(-4*x^4-2*x^3-2*x^2-2*x-2)/(x^5-1) ogf_with_Euler_transform] A030206 15.8477 [-(-4*x^2-2*x-2)/(x^3-1) ogf_with_Euler_transform] A030207 8.45826 [-(-6*x^7-2*x^6-3*x^5-2*x^4-4*x^3-2*x^2-3*x-2)/(x^8-1) ogf_with_Euler_transform] A030207 99.9999 Evaluated at exp(-Pi) 1/512*exp(Pi)/Pi^(3/2)*2^(1/2)/GAMMA(7/8)^6*GAMMA(5/8)^6*(7*2^(1/2)+10)*(2-2^(1/2))^(1/2) A030208 12.3567 [-(-6*x^2-3*x-3)/(x^3-1) ogf_with_Euler_transform] A030209 9.55171 [-(-8*x^5-2*x^4-4*x^3-4*x^2-4*x-2)/(x^6-1) ogf_with_Euler_transform] A030210 13.1943 [-(-8*x^4-4*x^3-4*x^2-4*x-4)/(x^5-1) ogf_with_Euler_transform] A030211 20.7158 [-(8*x+4)/(-x^2+1) ogf_with_Euler_transform] A030211 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*Pi^2*2^(1/2)/GAMMA(3/4)^8 A030212 12.4103 [-(-10*x^3-4*x^2-6*x-4)/(x^4-1) ogf_with_Euler_transform] A030212 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^(5/2)/GAMMA(3/4)^10 A030220 6.64183 [-(-6*x^6-6*x^5-6*x^4-3*x^3-3*x^2)/(x^7+x^6+x^5-x^2-x-1) ogf_with_Euler_transform] A030221 12.9949 [-1/2*(-1-5*x+(1+14*x+21*x^2)^(1/2))/(x-1) revogf] A030221 16.1727 [(x+1)/(x^2-5*x+1) ogf] A030221 17.1868 [-(-6+2*x+x^2)/(x+1)/(x^2-5*x+1) lgdogf] A030221 8.56205 [(7*f(x)+2)*(f(x)*x^2-5*f(x)*x+f(x)-x-1) ogf] A030221 8.87528 [{-a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A030236 12.4725 [2*(1+x-4*x^2+5*x^3)/(x-1)/(2*x^2+1)/(x^3-x^2+3*x-1) lgdogf] A030236 4.88180 [{-a(n+4)+3*a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=18} ogf] A030236 5.2787 [(199+542*f(x))*(f(x)*x^3-f(x)*x^2-2*x^3+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A030236 9.40986 [(x-1)*(2*x^2+1)/(x^3-x^2+3*x-1) ogf] A030238 6.16669 [-f(x)^2*x^4+f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2+f(x)-1 ogf] A030240 13.8750 [-1/14*(-1-7*x+(1+14*x+21*x^2)^(1/2))/x revogf] A030240 21.9687 [-7*(2*x-1)/(7*x^2+1-7*x) lgdogf] A030240 22.1385 [1/(7*x^2-7*x+1) ogf] A030240 8.80205 [(29*f(x)+20)*(7*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A030240 8.90938 [{-a(n+2)+7*a(n+1)-7*a(n),a(0)=1,a(1)=7} ogf] A030241 10.3777 [-(2*x^7+3*x^6+4*x^5+4*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A030267 10.8058 [(x-1)^2/(x^2-3*x+1)^2 ogf] A030267 19.8540 [-2*(2-2*x+x^2)/(x-1)/(x^2-3*x+1) lgdogf] A030267 3.78204 [{(n+4)*a(n+4)+(-16-4*n)*a(n+3)+(12+4*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=4,a(2)=14,a(3)=46} ogf] A030267 5.60304 [-(25*f(x)+1)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x-x^2+f(x)+2*x-1) ogf] A030270 6.43917 [-(1+2*x+8*x^7-11*x^2-4*x^3+13*x^4+18*x^5+4*x^9+9*x^6+4*x^8)/(x^2+2*x-1)/(2*x^4+2*x^2+x-1)/(x^4+2*x^2-1) lgdogf] A030270 7.27784 [-(2*x^4+2*x^2+x-1)/(x^2+2*x-1)/(x^4+2*x^2-1) ogf] A030279 5.29441 [-(x+1)*(x^3-4*x^2+2*x-1)*(x-1)^3/(x^3-2*x^2+4*x-1)^3 ogf] A030279 8.96853 [-2*(4-6*x-6*x^6-x^5+x^7+26*x^4-20*x^3+14*x^2)/(x-1)/(x+1)/(x^3-4*x^2+2*x-1)/(x^3-2*x^2+4*x-1) lgdogf] A030280 13.0994 [-3*(-2+2*x-3*x^2+x^3)/(x-1)/(x^3-3*x^2+4*x-1) lgdogf] A030280 3.88396 [-(x-1)^6/(x^3-3*x^2+4*x-1)^3 ogf] A030292 5.09634 [x*(10*x^8+80*x^7+59*x^6+30*x^5+23*x^4+16*x^3+7*x^2-2*x-1)/(10*x^2-1) ogf] A030293 3.85900 [x*(331000*x^8+992000*x^7+341669*x^6+63000*x^5+26657*x^4+7936*x^3+973*x^2-8*x-1)/(1000*x^2-1) ogf] A030297 27.1114 [(-3+x^2)/(x-1)/(1+x) lgdegf] A030300 5.13161 [-(x^47-x^39+x^35-x^33+x^32-x^31+x^15-x^7+x^3-x+1)/(x-1)/(x^32+1) ogf] A030429 3.64514 [-(60*f(x)-29)*(7*f(x)*x^4-21*f(x)*x^3+22*f(x)*x^2+14*x^3-9*f(x)*x-11*x^2+f(x)+7*x-1) ogf] A030429 6.46491 [-2*(-1+10*x+49*x^5-28*x^4+7*x^3-28*x^2)/(x-1)/(7*x^2-7*x+1)/(14*x^3-11*x^2+7*x-1) lgdogf] A030429 6.61526 [-(14*x^3-11*x^2+7*x-1)/(7*x^2-7*x+1)/(x-1)^2 ogf] A030434 10.6270 [-(-15+67*x+93*x^3-113*x^2)/(x-1)/(93*x^3-196*x^2+153*x-42) lgdogf] A030434 4.22168 [(32*f(x)+895)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-93*x^3-4*f(x)*x+196*x^2+f(x)-153*x+42) ogf] A030434 7.42608 [(93*x^3-196*x^2+153*x-42)/(x-1)^4 ogf] A030435 7.52 [-2*f(x)*x^4+4*f(x)*x^2-2*x^3-4*x^2-f(x)+2*x+2 ogf] A030435 8.53448 [-(1+4*x+2*x^6+8*x^5-2*x^4-8*x^3+x^2)/(x^3+2*x^2-x-1)/(2*x^4-4*x^2+1) lgdogf] A030435 9.13969 [-2*(x^3+2*x^2-x-1)/(2*x^4-4*x^2+1) ogf] A030436 7.67726 [-2*f(x)*x^4+4*f(x)*x^2-x^3-2*x^2-f(x)+x+1 ogf] A030436 8.71532 [-(1+4*x+2*x^6+8*x^5-2*x^4-8*x^3+x^2)/(x^3+2*x^2-x-1)/(2*x^4-4*x^2+1) lgdogf] A030436 9.33083 [-(x^3+2*x^2-x-1)/(2*x^4-4*x^2+1) ogf] A030439 13.2384 [-x*(x^2-2*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A030439 8.24025 [(6*f(x)+13)*(3*f(x)*x^4-4*f(x)*x^2+x^3-2*x^2+f(x)-x) ogf] A030439 8.74127 [-2*(1+3*x+3*x^5-9*x^4-6*x^3+4*x^2)/(x-1)/(x+1)/(3*x^2-1)/(x^2-2*x-1) lgdogf] A030440 11.1100 [-(2*x^3-13*x^2+4*x-1)/(x-1)^4 ogf] A030440 12.9300 [-2*x*(-7+x^2-10*x)/(x-1)/(2*x^3-13*x^2+4*x-1) lgdogf] A030440 4.60947 [{(47*n^2+253*n+318)*a(n+1)+(-90*n^2-405*n-450)*a(n+2)+(43*n^2+164*n+105)*a(n+3),a(0)=1,a(1)=0,a(2)=7} ogf] A030440 5.93548 [-(172*f(x)+845)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-13*x^2+f(x)+4*x-1) ogf] A030441 15.5370 [-(-1+9*x+15*x^3+9*x^2)/(x-1)/(15*x^3-18*x^2+15*x-4) lgdogf] A030441 4.62347 [{(-n^2+4)*a(n+1)+(-2*n^2-23*n-37)*a(n+2)+(3*n^2+11*n+6)*a(n+3),a(0)=-4,a(1)=-1,a(2)=2} ogf] A030441 5.59344 [(32*f(x)+107)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-15*x^3-4*f(x)*x+18*x^2+f(x)-15*x+4) ogf] A030441 9.99826 [(15*x^3-18*x^2+15*x-4)/(x-1)^4 ogf] A030442 7.42984 [-(386*x^4-1136*x^3+1361*x^2-758*x+163)/(x-1)^5 ogf] A030442 9.87770 [-(57-310*x+386*x^4-728*x^3+675*x^2)/(x-1)/(386*x^4-1136*x^3+1361*x^2-758*x+163) lgdogf] A030451 15.8308 [-x*(x-2)/(x+1)/(x-1)^2 ogf] A030451 26.9516 [-(-1-5*x+2*x^2)/(x-1)/(x-2)/(x+1) lgdogf] A030451 8.12932 [-(f(x)+4)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-2*x) ogf] A030451 8.12932 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A030452 5.4919 [-(145600*f(x)+4077)*(f(x)*x^4-15*f(x)*x^2+x^3+2*x^2+f(x)-2*x-1) ogf] A030452 8.63892 [-(2+26*x+27*x^2-4*x^3+9*x^4+4*x^5+x^6)/(x-1)/(x^2+3*x+1)/(x^4-15*x^2+1) lgdogf] A030452 9.48600 [-(x-1)*(x^2+3*x+1)/(x^4-15*x^2+1) ogf] A030503 11.4958 [-(4+8*x+11*x^2+6*x^3+6*x^4+x^6)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x^2+2) lgdogf] A030503 8.57075 [-(x^4-x^3+2*x^2+2)/(x^2+x+1)/(x-1)^3 ogf] A030511 10.8281 [-2*(x+1)/(x^2+x+1)/(x-1)^3 ogf] A030511 17.0153 [-(3+4*x+7*x^2+4*x^3)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A030511 29.7232 [x^2-x+3 ogf_with_Euler_transform] A030512 13.0726 [-1/(100*x-1)/(x-1)^2 ogf] A030512 19.0194 [-6*(-17+50*x)/(100*x-1)/(x-1) lgdogf] A030512 4.53323 [{a(n+3)-102*a(n+2)+201*a(n+1)-100*a(n),a(0)=1,a(1)=102,a(2)=10203} ogf] A030512 4.57007 [(20168010067*f(x)-336010000)*(100*f(x)*x^3-201*f(x)*x^2+102*f(x)*x-f(x)+1) ogf] A030517 5.27322 [(496*f(x)+35)*(25*f(x)*x^4+20*f(x)*x^3-10*f(x)*x^2-4*f(x)*x+5*x^2+f(x)+2*x-1) ogf] A030517 9.88726 [-(5*x^2+2*x-1)/(5*x-1)/(x+1)/(5*x^2-1) ogf] A030518 12.5987 [2*x/(5*x-1)/(x+1)/(5*x^2-1) ogf] A030518 5.55534 [-(403*f(x)-85)*(25*f(x)*x^4+20*f(x)*x^3-10*f(x)*x^2-4*f(x)*x+f(x)-2*x) ogf] A030518 6.59155 [-4*(-1-5*x+25*x^3+15*x^2)/(5*x-1)/(x+1)/(5*x^2-1) lgdogf] A030531 5.02992 [14*x*(16956*x^3-126*x^2-449*x-1)/(x-1)/(27*x+1)/(8*x+1)/(8*x-1)/(27*x-1) ogf] A030533 11.7320 [-(1+8*x-4*x^2+10*x^3-x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1) lgdogf] A030533 17.7211 [-x^5-x^3+x^2+4*x+1 ogf_with_Euler_transform] A030533 7.23643 [(x^2+1)*(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A030538 6.41524 [-(684*x^4-777*x^3+254*x^2-29*x+1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A030539 3.25122 [-(1048320*x^6-1381560*x^5+537549*x^4-80256*x^3+4968*x^2-124*x+1)/(x-1)/(4*x-1)/(64*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A030556 10.9030 [x^10-x^9-x^5+x^4+1 ogf_with_Euler_transform] A030556 4.37917 [-(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A030575 10.9030 [x^10-x^9-x^5+x^4+1 ogf_with_Euler_transform] A030575 4.37917 [-(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A030640 11.8749 [-(x^2-x-1)/(x^2+1)^2 ogf] A030640 19.9695 [-(1-6*x-3*x^2+2*x^3)/(1+x^2)/(-1-x+x^2) lgdogf] A030640 5.83510 [{(-n-4)*a(n+1)+(-n-2)*a(n+3),a(0)=1,a(1)=1,a(2)=-3} ogf] A030640 7.12496 [(14*f(x)+17)*(f(x)*x^4+2*f(x)*x^2+x^2+f(x)-x-1) ogf] A030645 2.36101 [(f(x)-1)^2*(984064*x^5+5365*f(x)*x-992*f(x)-5365*x+992) ogf] A030646 2.66655 [(f(x)-1)^2*(41984*x^5+185*f(x)*x-32*f(x)-185*x+32) ogf] A030648 6.07725 [{(n^2+23*n+130)*a(n+1)+(-n^2-7*n-10)*a(n+2),a(0)=1,a(1)=27} ogf] A030649 3.84657 [{(-n^2-34*n-285)*a(n+1)+(2*n^2+44*n+360)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=56,a(2)=1463} ogf] A030653 15.0147 [-(23+5*x-7*x^2+3*x^3)/(x-1)/(3*x^3-8*x^2+7*x+4) lgdogf] A030653 5.03666 [(4164*f(x)-2971)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+8*x^2+f(x)-7*x-4) ogf] A030653 9.35381 [(3*x^3-8*x^2+7*x+4)/(x-1)^4 ogf] A030655 11.7327 [-2*(315*x^5-405*x^4-5*x-6)/(x-1)^2 ogf] A030655 12.0476 [(17+5*x+945*x^5-2385*x^4+1620*x^3)/(x-1)/(315*x^5-405*x^4-5*x-6) lgdogf] A030656 11.7479 [(23+21*x-7020*x^5+4500*x^4+2880*x^6)/(x-1)/(720*x^6-900*x^5-21*x-1) lgdogf] A030656 12.1553 [-(720*x^6-900*x^5-21*x-1)/(x-1)^2 ogf] A030662 5.58189 [4*f(x)^2*x^4-9*f(x)^2*x^3+6*f(x)^2*x^2-f(x)^2*x-8*f(x)*x^2+10*f(x)*x-2*f(x)+x+2 ogf] A030695 4.77802 [-(24256*x^6-97024*x^5+146411*x^4-100524*x^3+28506*x^2-7500*x-125)/(x-1)^4 ogf] A030696 10.6106 [-(16*x^4-32*x^3+21*x^2-10*x-5)/(x-1)^2 ogf] A030696 11.6745 [4*(5-8*x+24*x^2-24*x^3+8*x^4)/(x-1)/(16*x^4-32*x^3+21*x^2-10*x-5) lgdogf] A030696 5.95824 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=5,a(1)=20,a(2)=14,a(3)=40,a(4)=50} ogf] A030696 6.29731 [-(245*f(x)+56969)*(16*x^4+f(x)*x^2-32*x^3-2*f(x)*x+21*x^2+f(x)-10*x-5) ogf] A030978 10.1941 [x*(2*x^5-4*x^4+3*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A030978 12.5193 [2*(2+x-2*x^5-x^4+5*x^3+x^6)/(x-1)/(x+1)/(2*x^5-4*x^4+3*x^2-2*x-1) lgdogf] A030980 18.3507 [-x*(x-1)^2/(-1+2*x-4*x^2+2*x^3) revogf] A030980 5.11864 [-2*f(x)^3*x^3-f(x)^3*x^2+4*f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x-f(x)+1 ogf] A030981 34.7716 [x/(1+x+3*x^2+x^3) revogf] A030981 7.84195 [-f(x)^3*x^3-3*f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A030982 5.76771 [-2*f(x)^3*x^4-f(x)^3*x^3-10*f(x)^2*x^3-5*f(x)^2*x^2-6*f(x)*x^2-f(x)*x+f(x)-x ogf] A030983 5.70557 [f(x)^3*x^4+7*f(x)^2*x^3-2*f(x)^2*x^2+15*f(x)*x^2-8*f(x)*x+8*x^2+f(x)-3*x ogf] A030990 4.22539 [-(10000*x^4-9000*x^3+300*x^2-10*x-3)/(x-1)/(10*x+1)/(10*x-1)/(100*x^2-10*x+1) ogf] A031058 4.46399 [(25*x^4+3*x^3+3*x^2+3*x+62)/(x^2+1)/(x+1)/(x-1)^2 ogf] A031138 11.0794 [-(x+1)^2/(x-1)/(x^2-10*x+1) ogf] A031138 14.9135 [-(13-33*x+x^3+3*x^2)/(-1+x)/(x+1)/(x^2-10*x+1) lgdogf] A031138 5.96585 [{a(n+3)-11*a(n+2)+11*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=133} ogf] A031138 6.06961 [(99*f(x)-13)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+x^2-f(x)+2*x+1) ogf] A031139 5.06992 [-(8*x^11+8*x^10+7*x^9+9*x^8+6*x^7+4*x^6+4*x^5+3*x^4+5*x^3+5*x^2+8*x+7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A031149 5.06938 [-x*(4*x^13+7*x^12+13*x^11+16*x^10+57*x^9+38*x^8+19*x^7-16*x^6-13*x^5-7*x^4-4*x^3-3*x^2-2*x-1)/(x^14-38*x^7+1) ogf] A031150 5.36124 [(x^10+2*x^9+4*x^8+5*x^7+18*x^6+12*x^5+6*x^4+5*x^3+4*x^2+2*x+1)/(x^14-38*x^7+1) ogf] A031164 15.6510 [-2*(2+7*x+2*x^2+5*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A031164 22.9456 [[-x^3+5*x+4] ogf_with_Euler_transform] A031164 4.90022 [(x^2+1)/(x+1)^4/(x-1)^8 ogf] A031193 13.6954 [-f(x)*x^2+2*f(x)*x-f(x)+3 ogf] A031193 24.4857 [3/(x-1)^2 ogf] A031193 31.6714 [12*x/(3+(9+12*x)^(1/2))^2 revogf] A031193 9.85400 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=6} ogf] A031193 98.9732 [-2/(x-1) lgdogf] A031313 4.97337 [(41*x^5+3*x^4+3*x^3+3*x^2+3*x+97)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A031436 4.20634 [-(f(x)-x-1)^3 ogf] A031438 2.56004 [-(f(x)-x-1)^3 ogf] A031441 9.42736 [-(102*x^7+18*x^6+16*x^5+11*x^4+17*x^3+7*x^2+5*x+3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A031479 4.65986 [-(24*x^12-6*x^11-6*x^10-6*x^9-2*x^8-x^7-x^6-x^5-73*x^4-36*x^3-36*x^2-36*x-36)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A031483 5.64059 [-(5*x^10-x^9-x^8-x^7-x^6-15*x^5-7*x^4-7*x^3-7*x^2-7*x-7)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A031485 5.30941 [(8*x^11-5*x^10+x^9+x^8+x^7+2*x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+6)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A031488 4.94990 [-(6*x^12-x^11-x^10-x^9-x^8-x^7-17*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x-8)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A031490 4.69443 [(9*x^13-6*x^12+x^11+x^10+x^9+x^8+2*x^7+8*x^6+8*x^5+8*x^4+8*x^3+8*x^2+8*x+7)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A031506 10.5233 [-(3*x-2)*(x^3-2*x^2+2)/(x-1)/(1+x^2-3*x)/(x^3-x^2-1) lgdogf] A031506 4.17974 [{-a(n+4)+4*a(n+3)-4*a(n+2)+a(n+1),a(0)=1,a(1)=4,a(2)=13,a(3)=36} ogf] A031506 4.51681 [-(156*f(x)-1481)*(f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x)+1) ogf] A031506 8.61669 [(x^3-x^2-1)/(x-1)/(x^2-3*x+1) ogf] A031710 13.3012 [-(255*x+257)/(x-1)^3 ogf] A031710 24.0020 [-6*(171+85*x)/(255*x+257)/(x-1) lgdogf] A031710 5.83206 [(37595906048*f(x)-13104008693011)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+255*x+257) ogf] A031710 6.31806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=257,a(1)=1026,a(2)=2307} ogf] A031711 20.5056 [-2*(2180+1087*x)/(1087*x+1091)/(x-1) lgdogf] A031712 24.2295 [-3*(193+96*x)/(144*x+145)/(x-1) lgdogf] A031713 11.7601 [-(1223*x+1227)/(x-1)^3 ogf] A031713 18.8956 [-2*(2452+1223*x)/(1223*x+1227)/(x-1) lgdogf] A031713 4.95603 [(531766198967500*f(x)-886399704854288307)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1223*x+1227) ogf] A031713 5.68725 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1227,a(1)=4904,a(2)=11031} ogf] A031714 22.6180 [-2*(649+323*x)/(323*x+325)/(x-1) lgdogf] A031715 11.8754 [-(1367*x+1371)/(x-1)^3 ogf] A031715 19.0845 [-2*(2740+1367*x)/(1367*x+1371)/(x-1) lgdogf] A031715 4.96913 [(829396808933068*f(x)-1544968647672922755)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1367*x+1371) ogf] A031715 5.74301 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1371,a(1)=5480,a(2)=12327} ogf] A031716 22.7273 [-3*(241+120*x)/(180*x+181)/(x-1) lgdogf] A031717 11.9907 [-(1519*x+1523)/(x-1)^3 ogf] A031717 19.2735 [-2*(3044+1519*x)/(1519*x+1523)/(x-1) lgdogf] A031717 5.05321 [(180527656488660*f(x)-373603328202882413)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1519*x+1523) ogf] A031717 5.79877 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1523,a(1)=6088,a(2)=13695} ogf] A031718 18.1637 [-(399*x+401)/(x-1)^3 ogf] A031718 21.9858 [-6*(267+133*x)/(399*x+401)/(x-1) lgdogf] A031718 7.96411 [(95987840000*f(x)-52257018001327)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+399*x+401) ogf] A031718 8.62775 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=401,a(1)=1602,a(2)=3603} ogf] A031719 12.1060 [-(1679*x+1683)/(x-1)^3 ogf] A031719 19.4624 [-2*(3364+1679*x)/(1679*x+1683)/(x-1) lgdogf] A031719 5.02994 [(1885278508055500*f(x)-4311885517402831131)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1679*x+1683) ogf] A031719 5.85452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1683,a(1)=6728,a(2)=15135} ogf] A031720 23.4515 [-(883+440*x)/(220*x+221)/(x-1) lgdogf] A031721 12.1636 [-(1847*x+1851)/(x-1)^3 ogf] A031721 19.5569 [-2*(3700+1847*x)/(1847*x+1851)/(x-1) lgdogf] A031721 5.05389 [(2759527989512908*f(x)-6941987059231545315)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1847*x+1851) ogf] A031721 5.88240 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1851,a(1)=7400,a(2)=16647} ogf] A031722 12.6469 [-(483*x+485)/(x-1)^3 ogf] A031722 22.0941 [-6*(323+161*x)/(483*x+485)/(x-1) lgdogf] A031722 5.46116 [(617175542720*f(x)-406513182870673)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+483*x+485) ogf] A031722 6.00728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=485,a(1)=1938,a(2)=4359} ogf] A031723 12.2213 [-(2023*x+2027)/(x-1)^3 ogf] A031723 19.6514 [-2*(4052+2023*x)/(2023*x+2027)/(x-1) lgdogf] A031723 5.11386 [(567118750252500*f(x)-1562430707375900501)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2023*x+2027) ogf] A031723 5.91028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2027,a(1)=8104,a(2)=18231} ogf] A031724 12.7077 [-2*(264*x+265)/(x-1)^3 ogf] A031724 22.2024 [-3*(353+176*x)/(264*x+265)/(x-1) lgdogf] A031724 5.48742 [(385300480055*f(x)-277368035790046)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+528*x+530) ogf] A031724 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=530,a(1)=2118,a(2)=4764} ogf] A031725 12.3366 [-(2207*x+2211)/(x-1)^3 ogf] A031725 19.8403 [-2*(4420+2207*x)/(2207*x+2211)/(x-1) lgdogf] A031725 5.0899 [(5621361028298188*f(x)-16893897984343069035)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2207*x+2211) ogf] A031725 5.96604 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2211,a(1)=8840,a(2)=19887} ogf] A031726 12.7077 [-(575*x+577)/(x-1)^3 ogf] A031726 21.5296 [-2*(1153+575*x)/(575*x+577)/(x-1) lgdogf] A031726 5.32602 [(25994595188736*f(x)-20374629933151297)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+575*x+577) ogf] A031726 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=577,a(1)=2306,a(2)=5187} ogf] A031727 12.3942 [-(2399*x+2403)/(x-1)^3 ogf] A031727 19.9348 [-2*(4804+2399*x)/(2399*x+2403)/(x-1) lgdogf] A031727 5.11369 [(7845407957683660*f(x)-25626682768620455211)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2399*x+2403) ogf] A031727 5.99392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2403,a(1)=9608,a(2)=21615} ogf] A031728 12.8293 [-2*(312*x+313)/(x-1)^3 ogf] A031728 22.4190 [-3*(417+208*x)/(312*x+313)/(x-1) lgdogf] A031728 5.53993 [(250223828125*f(x)-212803059998954)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+624*x+626) ogf] A031728 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=626,a(1)=2502,a(2)=5628} ogf] A031729 12.5095 [-(2599*x+2603)/(x-1)^3 ogf] A031729 20.1238 [-2*(5204+2599*x)/(2599*x+2603)/(x-1) lgdogf] A031729 5.12542 [(10804332189997260*f(x)-38231023943723493011)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2599*x+2603) ogf] A031729 6.00049 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2603,a(1)=10408,a(2)=23415} ogf] A031730 12.8293 [-(675*x+677)/(x-1)^3 ogf] A031730 22.4190 [-6*(451+225*x)/(675*x+677)/(x-1) lgdogf] A031730 5.37699 [(16436792437312*f(x)-15118881157164599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+675*x+677) ogf] A031730 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=677,a(1)=2706,a(2)=6087} ogf] A031731 12.0424 [-(2807*x+2811)/(x-1)^3 ogf] A031731 19.3620 [-2*(5620+2807*x)/(2807*x+2811)/(x-1) lgdogf] A031731 5.00352 [(2099598320483284*f(x)-8023416489761929605)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2807*x+2811) ogf] A031731 5.77642 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2811,a(1)=11240,a(2)=25287} ogf] A031732 12.8901 [-2*(364*x+365)/(x-1)^3 ogf] A031732 23.2540 [-(1459+728*x)/(364*x+365)/(x-1) lgdogf] A031732 5.56618 [(595423839195*f(x)-590605904252734)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+728*x+730) ogf] A031732 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=730,a(1)=2918,a(2)=6564} ogf] A031733 12.0424 [-(3023*x+3027)/(x-1)^3 ogf] A031733 19.3620 [-2*(6052+3023*x)/(3023*x+3027)/(x-1) lgdogf] A031733 4.93402 [(19766081574167500*f(x)-81341419379759772507)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3023*x+3027) ogf] A031733 5.77642 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3027,a(1)=12104,a(2)=27231} ogf] A031734 12.8901 [-(783*x+785)/(x-1)^3 ogf] A031734 22.5273 [-6*(523+261*x)/(783*x+785)/(x-1) lgdogf] A031734 5.40247 [(29734561776640*f(x)-31718383162357211)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+783*x+785) ogf] A031734 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=785,a(1)=3138,a(2)=7059} ogf] A031735 12.0995 [-(3247*x+3251)/(x-1)^3 ogf] A031735 19.4555 [-2*(6500+3247*x)/(3247*x+3251)/(x-1) lgdogf] A031735 4.92322 [(26303317759836108*f(x)-116257507914981085115)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3247*x+3251) ogf] A031735 5.80380 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3251,a(1)=13000,a(2)=29247} ogf] A031736 12.9509 [-2*(420*x+421)/(x-1)^3 ogf] A031736 22.6356 [-3*(561+280*x)/(420*x+421)/(x-1) lgdogf] A031736 5.59244 [(117173121427*f(x)-134075031862334)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+840*x+842) ogf] A031736 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=842,a(1)=3366,a(2)=7572} ogf] A031737 12.1565 [-(3479*x+3483)/(x-1)^3 ogf] A031737 19.5490 [-2*(6964+3479*x)/(3479*x+3483)/(x-1) lgdogf] A031737 5.01562 [(4951343947167700*f(x)-23446788694109247333)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3479*x+3483) ogf] A031737 5.83118 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3483,a(1)=13928,a(2)=31335} ogf] A031738 12.9509 [-(899*x+901)/(x-1)^3 ogf] A031738 21.9497 [-2*(1801+899*x)/(899*x+901)/(x-1) lgdogf] A031738 5.34929 [(154903761720000*f(x)-189679240488788101)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+899*x+901) ogf] A031738 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=901,a(1)=3602,a(2)=8103} ogf] A031739 12.1565 [-(3719*x+3723)/(x-1)^3 ogf] A031739 19.5490 [-2*(7444+3719*x)/(3719*x+3723)/(x-1) lgdogf] A031739 4.94644 [(45251994117846220*f(x)-229060162008132632691)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3719*x+3723) ogf] A031739 5.83118 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3723,a(1)=14888,a(2)=33495} ogf] A031740 12.9509 [-2*(480*x+481)/(x-1)^3 ogf] A031740 22.6356 [-3*(641+320*x)/(480*x+481)/(x-1) lgdogf] A031740 5.50897 [(4195008255047*f(x)-5484837537080014)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+960*x+962) ogf] A031740 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=962,a(1)=3846,a(2)=8652} ogf] A031741 12.2136 [-(3967*x+3971)/(x-1)^3 ogf] A031741 19.6426 [-2*(7940+3967*x)/(3967*x+3971)/(x-1) lgdogf] A031741 4.96966 [(58575769035665868*f(x)-316262407832100778955)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3967*x+3971) ogf] A031741 5.85855 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3971,a(1)=15880,a(2)=35727} ogf] A031742 12.6881 [-(1023*x+1025)/(x-1)^3 ogf] A031742 21.6099 [-6*(683+341*x)/(1023*x+1025)/(x-1) lgdogf] A031742 5.3856 [(86526415339520*f(x)-120544993831728811)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1023*x+1025) ogf] A031742 6.18678 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1025,a(1)=4098,a(2)=9219} ogf] A031743 12.2707 [-(4223*x+4227)/(x-1)^3 ogf] A031743 19.7361 [-2*(8452+4223*x)/(4223*x+4227)/(x-1) lgdogf] A031743 4.99289 [(75213450423767500*f(x)-432282187353704495307)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+4223*x+4227) ogf] A031743 5.88593 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4227,a(1)=16904,a(2)=38031} ogf] A031744 12.7469 [-2*(544*x+545)/(x-1)^3 ogf] A031744 23.0688 [-(2179+1088*x)/(544*x+545)/(x-1) lgdogf] A031744 5.44974 [(20751631082325*f(x)-30744979636060138)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1088*x+1090) ogf] A031744 6.21542 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1090,a(1)=4358,a(2)=9804} ogf] A031745 12.3277 [-(4487*x+4491)/(x-1)^3 ogf] A031745 19.8297 [-2*(8980+4487*x)/(4487*x+4491)/(x-1) lgdogf] A031745 5.05094 [(13692556220840404*f(x)-83613458768662815285)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+4487*x+4491) ogf] A031745 5.91331 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4491,a(1)=17960,a(2)=40407} ogf] A031746 12.2809 [-(1155*x+1157)/(x-1)^3 ogf] A031746 20.9069 [-6*(771+385*x)/(1155*x+1157)/(x-1) lgdogf] A031746 5.28884 [(6691798736192*f(x)-10524196210300219)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1155*x+1157) ogf] A031746 5.93911 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1157,a(1)=4626,a(2)=10407} ogf] A031747 12.3277 [-(4759*x+4763)/(x-1)^3 ogf] A031747 19.8297 [-2*(9524+4759*x)/(4759*x+4763)/(x-1) lgdogf] A031747 4.98175 [(121275411049883340*f(x)-785434884454200237251)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+4759*x+4763) ogf] A031747 5.91331 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4763,a(1)=19048,a(2)=42855} ogf] A031748 11.7601 [-2*(612*x+613)/(x-1)^3 ogf] A031748 21.2575 [-3*(817+408*x)/(612*x+613)/(x-1) lgdogf] A031748 5.02786 [(11075091199375*f(x)-18457219062336662)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1224*x+1226) ogf] A031748 5.68725 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1226,a(1)=4902,a(2)=11028} ogf] A031749 12.3277 [-(5039*x+5043)/(x-1)^3 ogf] A031749 19.2937 [-2*(10084+5039*x)/(5039*x+5043)/(x-1) lgdogf] A031749 4.94786 [(152420380243730380*f(x)-1045192825066374378171)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+5039*x+5043) ogf] A031749 5.91331 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5043,a(1)=20168,a(2)=45375} ogf] A031750 11.8754 [-(1295*x+1297)/(x-1)^3 ogf] A031750 19.0845 [-2*(2593+1295*x)/(1295*x+1297)/(x-1) lgdogf] A031750 5.04062 [(95139073594368*f(x)-167742017778178471)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1295*x+1297) ogf] A031750 5.74301 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1297,a(1)=5186,a(2)=11667} ogf] A031751 12.3848 [-(5327*x+5331)/(x-1)^3 ogf] A031751 19.3847 [-2*(10660+5327*x)/(5327*x+5331)/(x-1) lgdogf] A031751 5.03933 [(27193031124849364*f(x)-197123164292111654925)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+5327*x+5331) ogf] A031751 5.94068 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5331,a(1)=21320,a(2)=47967} ogf] A031752 11.8754 [-2*(684*x+685)/(x-1)^3 ogf] A031752 21.4701 [-3*(913+456*x)/(684*x+685)/(x-1) lgdogf] A031752 5.07715 [(17274394948735*f(x)-32172121951910246)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1368*x+1370) ogf] A031752 5.74301 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1370,a(1)=5478,a(2)=12324} ogf] A031753 12.3848 [-(5623*x+5627)/(x-1)^3 ogf] A031753 19.3847 [-2*(11252+5623*x)/(5623*x+5627)/(x-1) lgdogf] A031753 4.97077 [(236297805229687500*f(x)-1808066348717383231907)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+5623*x+5627) ogf] A031753 5.94068 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5627,a(1)=22504,a(2)=50631} ogf] A031754 11.9330 [-(1443*x+1445)/(x-1)^3 ogf] A031754 20.3072 [-6*(963+481*x)/(1443*x+1445)/(x-1) lgdogf] A031754 5.1018 [(12670912742080*f(x)-24891113785417493)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1443*x+1445) ogf] A031754 5.77089 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1445,a(1)=5778,a(2)=12999} ogf] A031755 12.4419 [-(5927*x+5931)/(x-1)^3 ogf] A031755 19.4757 [-2*(11860+5927*x)/(5927*x+5931)/(x-1) lgdogf] A031755 4.99368 [(291670448831494348*f(x)-2352361282736391030675)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+5927*x+5931) ogf] A031755 5.96806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5931,a(1)=23720,a(2)=53367} ogf] A031756 11.9907 [-2*(760*x+761)/(x-1)^3 ogf] A031756 21.6826 [-(3043+1520*x)/(760*x+761)/(x-1) lgdogf] A031756 5.08956 [(78961491417861*f(x)-163384154137978042)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1520*x+1522) ogf] A031756 5.79877 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1522,a(1)=6086,a(2)=13692} ogf] A031757 12.4419 [-(6239*x+6243)/(x-1)^3 ogf] A031757 19.4757 [-2*(12484+6239*x)/(6239*x+6243)/(x-1) lgdogf] A031757 4.99368 [(358080464399723980*f(x)-3039926599456323964971)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+6239*x+6243) ogf] A031757 5.96806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6243,a(1)=24968,a(2)=56175} ogf] A031758 12.1060 [-(1599*x+1601)/(x-1)^3 ogf] A031758 20.0185 [-6*(1067+533*x)/(1599*x+1601)/(x-1) lgdogf] A031758 5.06561 [(515670026240000*f(x)-1122415550496431467)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1599*x+1601) ogf] A031758 5.85452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1601,a(1)=6402,a(2)=14403} ogf] A031759 11.9168 [-(6559*x+6563)/(x-1)^3 ogf] A031759 18.6423 [-2*(13124+6559*x)/(6559*x+6563)/(x-1) lgdogf] A031759 4.84893 [(62480353461956820*f(x)-557622234531075802493)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+6559*x+6563) ogf] A031759 5.71621 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6563,a(1)=26248,a(2)=59055} ogf] A031760 12.1060 [-2*(840*x+841)/(x-1)^3 ogf] A031760 21.2317 [-3*(1121+560*x)/(840*x+841)/(x-1) lgdogf] A031760 5.21351 [(5609703562961*f(x)-12828211586750002)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1680*x+1682) ogf] A031760 5.85452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1682,a(1)=6726,a(2)=15132} ogf] A031761 11.9168 [-(6887*x+6891)/(x-1)^3 ogf] A031761 18.6423 [-2*(13780+6887*x)/(6887*x+6891)/(x-1) lgdogf] A031761 4.78296 [(531598510568526028*f(x)-4981554775976499507795)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+6887*x+6891) ogf] A031761 5.71621 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6891,a(1)=27560,a(2)=62007} ogf] A031762 12.1636 [-(1763*x+1765)/(x-1)^3 ogf] A031762 19.5569 [-2*(3529+1763*x)/(1763*x+1765)/(x-1) lgdogf] A031762 5.05389 [(2285588943288000*f(x)-5484690370109359333)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1763*x+1765) ogf] A031762 5.88240 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1765,a(1)=7058,a(2)=15879} ogf] A031763 11.9733 [-(7223*x+7227)/(x-1)^3 ogf] A031763 18.7324 [-2*(14452+7223*x)/(7223*x+7227)/(x-1) lgdogf] A031763 4.80563 [(643144019912567500*f(x)-6320763945140726702307)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+7223*x+7227) ogf] A031763 5.74330 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7227,a(1)=28904,a(2)=65031} ogf] A031764 12.1636 [-2*(924*x+925)/(x-1)^3 ogf] A031764 21.3348 [-3*(1233+616*x)/(924*x+925)/(x-1) lgdogf] A031764 5.35562 [(304119442955*f(x)-764951035684414)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1848*x+1850) ogf] A031764 5.88240 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1850,a(1)=7398,a(2)=16644} ogf] A031765 11.9733 [-(7567*x+7571)/(x-1)^3 ogf] A031765 18.7324 [-2*(15140+7567*x)/(7567*x+7571)/(x-1) lgdogf] A031765 4.80563 [(110665123686349524*f(x)-1139387311914514073165)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+7567*x+7571) ogf] A031765 5.74330 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7571,a(1)=30280,a(2)=68127} ogf] A031766 12.2213 [-(1935*x+1937)/(x-1)^3 ogf] A031766 20.2128 [-6*(1291+645*x)/(1935*x+1937)/(x-1) lgdogf] A031766 5.07784 [(1105339792049152*f(x)-2911059098155787099)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1935*x+1937) ogf] A031766 5.91028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1937,a(1)=7746,a(2)=17427} ogf] A031767 11.9733 [-(7919*x+7923)/(x-1)^3 ogf] A031767 18.7324 [-2*(15844+7919*x)/(7919*x+7923)/(x-1) lgdogf] A031767 4.77316 [(929122429864527820*f(x)-10010914809006478666491)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+7919*x+7923) ogf] A031767 5.74330 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7923,a(1)=31688,a(2)=71295} ogf] A031768 12.2213 [-2*(1012*x+1013)/(x-1)^3 ogf] A031768 20.8073 [-(4051+2024*x)/(1012*x+1013)/(x-1) lgdogf] A031768 5.15038 [(248068773298125*f(x)-683352035586529186)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2024*x+2026) ogf] A031768 5.91028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2026,a(1)=8102,a(2)=18228} ogf] A031769 12.0298 [-(8279*x+8283)/(x-1)^3 ogf] A031769 18.8224 [-2*(16564+8279*x)/(8279*x+8283)/(x-1) lgdogf] A031769 4.76349 [(1109895913451716300*f(x)-12502148038463764998531)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+8279*x+8283) ogf] A031769 5.77040 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8283,a(1)=33128,a(2)=74535} ogf] A031770 12.3366 [-(2115*x+2117)/(x-1)^3 ogf] A031770 20.4072 [-6*(1411+705*x)/(2115*x+2117)/(x-1) lgdogf] A031770 5.12575 [(1577356759531072*f(x)-4540363492859448599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2115*x+2117) ogf] A031770 5.96604 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2117,a(1)=8466,a(2)=19047} ogf] A031771 12.0298 [-(8647*x+8651)/(x-1)^3 ogf] A031771 18.8224 [-2*(17300+8647*x)/(8647*x+8651)/(x-1) lgdogf] A031771 4.76349 [(1320726944672431308*f(x)-15538081843324901492915)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+8647*x+8651) ogf] A031771 5.77040 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8651,a(1)=34600,a(2)=77847} ogf] A031772 12.3366 [-2*(1104*x+1105)/(x-1)^3 ogf] A031772 20.4072 [-3*(1473+736*x)/(1104*x+1105)/(x-1) lgdogf] A031772 5.23638 [(39030640845005*f(x)-117285476499901882)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2208*x+2210) ogf] A031772 5.96604 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2210,a(1)=8838,a(2)=19884} ogf] A031773 12.0298 [-(9023*x+9027)/(x-1)^3 ogf] A031773 18.8224 [-2*(18052+9023*x)/(9023*x+9027)/(x-1) lgdogf] A031773 4.8283 [(223685942560652500*f(x)-2746017571375428369501)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+9023*x+9027) ogf] A031773 5.77040 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9027,a(1)=36104,a(2)=81231} ogf] A031774 12.3942 [-(2303*x+2305)/(x-1)^3 ogf] A031774 19.9348 [-2*(4609+2303*x)/(2303*x+2305)/(x-1) lgdogf] A031774 5.18622 [(950198076702720*f(x)-2978087174275880119)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2303*x+2305) ogf] A031774 5.99392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2305,a(1)=9218,a(2)=20739} ogf] A031775 12.0298 [-(9407*x+9411)/(x-1)^3 ogf] A031775 18.8224 [-2*(18820+9407*x)/(9407*x+9411)/(x-1) lgdogf] A031775 4.76349 [(1849780935595235788*f(x)-23674465461511628967435)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+9407*x+9411) ogf] A031775 5.77040 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9411,a(1)=37640,a(2)=84687} ogf] A031776 12.3942 [-2*(1200*x+1201)/(x-1)^3 ogf] A031776 20.5044 [-3*(1601+800*x)/(1200*x+1201)/(x-1) lgdogf] A031776 5.22327 [(163420619101607*f(x)-533749973179340014)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2400*x+2402) ogf] A031776 5.99392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2402,a(1)=9606,a(2)=21612} ogf] A031777 12.0298 [-(9799*x+9803)/(x-1)^3 ogf] A031777 18.8224 [-2*(19604+9799*x)/(9799*x+9803)/(x-1) lgdogf] A031777 4.76349 [(2177843183967046860*f(x)-29034374425607328853811)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+9799*x+9803) ogf] A031777 5.77040 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9803,a(1)=39208,a(2)=88215} ogf] A031778 12.5095 [-(2499*x+2501)/(x-1)^3 ogf] A031778 20.6987 [-6*(1667+833*x)/(2499*x+2501)/(x-1) lgdogf] A031778 5.23447 [(439053575000000*f(x)-1493119495547024881)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2499*x+2501) ogf] A031778 6.00049 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2501,a(1)=10002,a(2)=22503} ogf] A031876 6.90121 [(-2+5*x^7-7*x^6+24*x^26-26*x^25)/(x-1)/(x^2+x+1)/(x^24-x^23+x^21-x^20+x^18-x^17+x^15-x^14+x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) lgdogf] A031878 16.2863 [-(3+7*x+2*x^4+x^3+11*x^2)/(x-1)/(1+x)/(x^3+2*x+1) lgdogf] A031878 9.99925 [-x*(x^3+2*x+1)/(x+1)^2/(x-1)^3 ogf] A031940 5.75148 [-(x^4-x^3+x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A031940 8.52676 [-(3+9*x+x^5-x^4+6*x^3+6*x^2)/(-1+x)/(x+1)/(x^4-x^3+x^2+2*x+1) lgdogf] A031954 6.44501 [-(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-9)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A031982 11.2372 [-(-10001+20000*x)/(10000*x-1)/(x-1) lgdogf] A031982 3.82945 [(100000001*f(x)+2020000)*(10000*f(x)*x^2-10001*f(x)*x+f(x)-101) ogf] A031997 4.93527 [(5849160*x^8-5534076*x^7-315084*x^6-10*x^2+1)/(10*x-1)/(x-1) ogf] A032031 16.8048 [-3*f(x)*x+f(x)-1 egf] A032031 32.8095 [-1/(3*x-1) egf] A032031 39.8365 [1/3-1/3*exp(-3*x) revegf] A032031 61.5656 [-3/(-1+3*x) lgdegf] A032031 7.82953 [{(-3*n-6)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A032037 13.8630 [-(x-3+(x^2+1-6*x)^(1/2))/(x^2+1-6*x) lgdegf] A032037 29.3568 [x*(-1+2*x)/(-1+x) revegf] A032037 6.25371 [-2*f(x)^2*x^2+12*f(x)^2*x+f(x)*x^2-2*f(x)^2-6*f(x)*x+f(x)+1 egf] A032069 4.21350 [2*(16*x^6-16*x^5-14*x^4+16*x^3-x^2-3*x+1)/(2*x-1)^2/(2*x^2-1)^2 egf] A032070 4.02252 [3*(3*x^2+x-1)*(27*x^4-27*x^3+3*x-1)/(3*x-1)^2/(3*x^2-1)^2 egf] A032071 3.45580 [4*(256*x^6-128*x^5-136*x^4+64*x^3+2*x^2-5*x+1)/(2*x+1)^2/(2*x-1)^2/(4*x-1)^2 egf] A032072 3.45277 [5*(625*x^6-250*x^5-275*x^4+100*x^3+5*x^2-6*x+1)/(5*x-1)^2/(5*x^2-1)^2 egf] A032085 10.8220 [-(-1+8*x^3-2*x^2)/(2*x-1)/(2*x^2-1)/(8*x^3-4*x^2-3*x+2) lgdogf] A032085 4.61223 [{a(n+4)-2*a(n+3)-2*a(n+2)+4*a(n+1),a(0)=2,a(1)=1,a(2)=2,a(3)=6} ogf] A032085 4.94971 [-(3*f(x)-4)*(4*f(x)*x^3-2*f(x)*x^2-8*x^3-2*f(x)*x+4*x^2+f(x)+3*x-2) ogf] A032085 8.82341 [(8*x^3-4*x^2-3*x+2)/(2*x-1)/(2*x^2-1) ogf] A032086 10.5188 [-(-1+18*x^3-3*x^2)/(3*x-1)/(3*x^2-1)/(9*x^3-3*x^2-2*x+1) lgdogf] A032086 4.52580 [{a(n+4)-3*a(n+3)-3*a(n+2)+9*a(n+1),a(0)=3,a(1)=3,a(2)=9,a(3)=36} ogf] A032086 5.01608 [(2*f(x)-3)*(9*f(x)*x^3-3*f(x)*x^2-27*x^3-3*f(x)*x+9*x^2+f(x)+6*x-3) ogf] A032086 8.59901 [3*(9*x^3-3*x^2-2*x+1)/(3*x-1)/(3*x^2-1) ogf] A032087 10.0535 [2*(32*x^3-8*x^2-5*x+2)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A032087 5.39636 [{a(n+4)-4*a(n+3)-4*a(n+2)+16*a(n+1),a(0)=4,a(1)=6,a(2)=24,a(3)=120} ogf] A032087 5.77877 [-(5*f(x)-8)*(16*f(x)*x^3-4*f(x)*x^2-64*x^3-4*f(x)*x+16*x^2+f(x)+10*x-4) ogf] A032088 3.78293 [{a(n+4)-5*a(n+3)-5*a(n+2)+25*a(n+1),a(0)=5,a(1)=10,a(2)=50,a(3)=300} ogf] A032088 4.17953 [(3*f(x)-5)*(25*f(x)*x^3-5*f(x)*x^2-125*x^3-5*f(x)*x+25*x^2+f(x)+15*x-5) ogf] A032088 7.00353 [5*(25*x^3-5*x^2-3*x+1)/(5*x-1)/(5*x^2-1) ogf] A032088 8.58099 [-2*(-1+50*x^3-5*x^2)/(5*x-1)/(5*x^2-1)/(25*x^3-5*x^2-3*x+1) lgdogf] A032089 5.69889 [-x*(3*x^5-17*x^7-2*x^6-x-8*x^2+4*x^3+8*x^4+10*x^9+x^11+2*x^12+2)/(x-1)/(x+1)/(x^2+x-1)/(x^4+x^2-1)/(x^6+2*x^3-2*x^2-x+1) lgdogf] A032089 6.37413 [-(x^6+2*x^3-2*x^2-x+1)/(x-1)/(x+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A032090 5.56160 [-x*(x^6+x^5-x^4+2*x^3-2*x^2-x+1)/(x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A032090 5.61052 [-(-2*x-x^6+x^12-2*x^10-2*x^3-x^8-8*x^7+2*x^11+6*x^9+7*x^4+1)/(x-1)/(x^2+x-1)/(x^4+x^2-1)/(x^6+x^5-x^4+2*x^3-2*x^2-x+1) lgdogf] A032091 11.2836 [-2/(x+1)^2/(x-1)^5 ogf] A032091 38.9786 [[3+2*x] ogf_with_Euler_transform] A032091 6.10150 [{(n+3)*a(n+3)-3*a(n+2)+(-8-n)*a(n+1),a(0)=2,a(1)=6,a(2)=16} ogf] A032092 15.6536 [-(9+29*x+7*x^3+3*x^2)/(x-1)/(1+x)/(x^2+3) lgdogf] A032092 9.09716 [(x^2+3)/(x+1)^3/(x-1)^6 ogf] A032093 15.8558 [-4*(3+8*x+2*x^3+x^2)/(x-1)/(1+x)/(x^2+3) lgdogf] A032093 6.00086 [-(x^2+3)/(x+1)^3/(x-1)^7 ogf] A032094 15.1734 [-2*(2+7*x+2*x^2+5*x^3)/(-1+x)/(x+1)/(1+x^2) lgdogf] A032094 26.4047 [[-x^3+5*x+4] ogf_with_Euler_transform] A032094 5.63703 [4*(x^2+1)/(x+1)^4/(x-1)^8 ogf] A032096 4.59126 [-(329*f(x)-102)*(9*f(x)*x^4-12*f(x)*x^3+15*x^3+4*f(x)*x-4*x^2-f(x)-5*x+2) ogf] A032096 6.43776 [-(3-8*x+135*x^6-72*x^5+72*x^3-87*x^4-11*x^2)/(x-1)/(-1+3*x)/(3*x^2-1)/(15*x^3-4*x^2-5*x+2) lgdogf] A032096 8.34189 [-(15*x^3-4*x^2-5*x+2)/(3*x-1)/(x-1)/(3*x^2-1) ogf] A032097 6.93075 [(2-10*x+x^6+10*x^5-4*x^7-x^4-18*x^3+x^8+20*x^2)/(x-1)/(1+x^2-3*x)/(x^2+x-1)/(x^5-4*x^4+x^3+9*x^2-8*x+2) lgdogf] A032097 7.20136 [(x^5-4*x^4+x^3+9*x^2-8*x+2)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A032098 4.61081 [-(50*f(x)-51)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+21*x^2-f(x)-15*x+3) ogf] A032098 4.85347 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=3,a(1)=6,a(2)=21} ogf] A032098 8.19594 [-(2-14*x+56*x^4-80*x^3+45*x^2)/(x-1)/(2*x-1)/(4*x-1)/(7*x^2-5*x+1) lgdogf] A032098 8.64525 [-3*(7*x^2-5*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A032099 5.08108 [(x^6-3*x^5+5*x^3-3*x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1)/(x-1)^2 ogf] A032100 5.61440 [(3*x^6-4*x^5+11*x^4+2*x^3-3*x^2-2*x+1)/(3*x-1)/(3*x^2-1)/(x-1)^2 ogf] A032107 17.8387 [1/2+1/2*x-1/2*(1+x^2)^(1/2) revegf] A032107 20.0686 [-2/(2*x-1)/(2*x^2-2*x+1) lgdegf] A032107 3.42347 [{(-4*n^2-8*n)*a(n)+(2*n^2+12*n+12)*a(n+1)+(-n-2)*a(n+2),a(0)=2,a(1)=4} ogf] A032107 5.79975 [f(x)*(4*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+4*x-2) egf] A032107 9.30149 [2*(2*x^2-2*x+1)/(2*x-1)^2 egf] A032108 17.7651 [1/3+1/3*x-1/3*(1+x^2)^(1/2) revegf] A032108 19.9858 [-6/(3*x-1)/(9*x^2-6*x+2) lgdegf] A032108 3.38447 [{(-9*n^2-18*n)*a(n)+(3*n^2+18*n+18)*a(n+1)+(-n-2)*a(n+2),a(0)=3,a(1)=9} ogf] A032108 5.51402 [f(x)*(18*f(x)*x^2-12*f(x)*x-27*x^2+2*f(x)+18*x-6) egf] A032108 8.60961 [3/2*(9*x^2-6*x+2)/(3*x-1)^2 egf] A032119 14.0086 [-(x-2+(x^2-4*x+1)^(1/2))/(x^2-4*x+1) lgdegf] A032119 24.0148 [1/2*x*(-2+3*x)/(-1+x) revegf] A032119 7.10806 [3*f(x)^2*x^2-12*f(x)^2*x-2*f(x)*x^2+3*f(x)^2+8*f(x)*x-2*f(x)-1 egf] A032120 10.7686 [-(2+18*x^3+27*x^4-21*x^2)/(3*x-1)/(3*x^2-1)/(3*x^2+x-1) lgdogf] A032120 5.35530 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=3,a(1)=6,a(2)=18} ogf] A032120 5.78541 [(f(x)+7)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+6*x^2+f(x)-1) ogf] A032120 9.92048 [-3*(3*x^2+x-1)/(3*x-1)/(3*x^2-1) ogf] A032121 11.7004 [-2*(8*x^2+3*x-2)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A032121 6.40977 [{a(n+3)-4*a(n+2)-4*a(n+1)+16*a(n),a(0)=4,a(1)=10,a(2)=40} ogf] A032121 6.78036 [(18*f(x)+67)*(16*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+10*x^2+f(x)-1) ogf] A032121 8.59695 [-(5+96*x^3-76*x^2+128*x^4)/(2*x+1)/(2*x-1)/(4*x-1)/(8*x^2+3*x-2) lgdogf] A032122 4.50662 [{a(n+3)-5*a(n+2)-5*a(n+1)+25*a(n),a(0)=5,a(1)=15,a(2)=75} ogf] A032122 4.88799 [(f(x)+2)*(25*f(x)*x^3-5*f(x)*x^2-5*f(x)*x+15*x^2+f(x)-1) ogf] A032122 8.03616 [-(5*x+1)*(25*x^3+15*x^2-15*x+3)/(5*x-1)/(5*x^2-1)/(5*x^2+2*x-1) lgdogf] A032122 8.09783 [-5*(5*x^2+2*x-1)/(5*x-1)/(5*x^2-1) ogf] A032124 12.3455 [-(9*x^2+x-2)/(3*x-1)/(3*x^2-1) ogf] A032124 12.5381 [-(5-6*x+18*x^3+81*x^4-30*x^2)/(3*x-1)/(3*x^2-1)/(9*x^2+x-2) lgdogf] A032124 6.66440 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=2,a(1)=5,a(2)=12} ogf] A032124 6.66441 [(38*f(x)-97)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+9*x^2+f(x)+x-2) ogf] A032125 14.9015 [-3*(3*x-1)/(4*x-1)/(2*x-1) ogf] A032125 16.4464 [-(3-16*x+24*x^2)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A032125 7.2888 [-(28*f(x)+159)*(8*f(x)*x^2-6*f(x)*x+f(x)+9*x-3) ogf] A032125 8.17767 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=3,a(1)=9} ogf] A032125 9.53415 [1/4*ln(8*x+9)-1/2*arctanh(2/3*(6*x+9)^(1/2))-1/2*ln(3)+1/2*arctanh(2) revegf] A032126 5.47291 [-(-3+6*x+36*x^6+30*x^5-12*x^3-3*x^8-20*x^7-51*x^4+12*x^2+2*x^9)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1)/(x^4-5*x^2+1) lgdogf] A032126 6.85090 [(x^4-5*x^2+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A032127 10.0156 [(-4+6*x+21*x^2-96*x^4-18*x^5+27*x^6)/(3*x-1)/(3*x^2-1)/(3*x^4+5*x^3+6*x^2-x-1) lgdogf] A032127 10.3206 [-(3*x^4+5*x^3+6*x^2-x-1)/(3*x-1)/(3*x^2-1) ogf] A032127 5.44303 [{a(n+5)-3*a(n+4)-3*a(n+3)+9*a(n+2),a(0)=1,a(1)=4,a(2)=9,a(3)=25,a(4)=63} ogf] A032127 5.6763 [-(288477*f(x)+80413)*(9*f(x)*x^3+3*x^4-3*f(x)*x^2+5*x^3-3*f(x)*x+6*x^2+f(x)-x-1) ogf] A032179 17.3076 [-3*f(x)*x+f(x)-3 egf] A032179 28.3844 [-3/(3*x-1) egf] A032179 46.5222 [1/3-1/3*exp(-x) revegf] A032179 63.4393 [-3/(-1+3*x) lgdegf] A032179 8.06375 [{(-3*n-6)*a(n+1)+a(n+2),a(0)=3,a(1)=9} ogf] A032180 6.42646 [-(-21+350*x+4320*x^5-8820*x^4+6496*x^3-2205*x^2)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A032180 7.69561 [120/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A032184 15.5112 [-2*f(x)*x+f(x)-2*x-1 egf] A032184 18.8650 [-(2*x+1)/(2*x-1) egf] A032184 29.0643 [-4/(2*x-1)/(1+2*x) lgdegf] A032184 4.91553 [{(4*n^2+4*n)*a(n)+(2*n^2+6*n+8)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=4} ogf] A032192 3.59358 [-(x^6-5*x^5+13*x^4-17*x^3+13*x^2-5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^7 ogf] A032246 10.9255 [-(2+8*x+8*x^2+8*x^3+13*x^4+11*x^5)/(-1+x)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A032246 24.8425 [[x^4+2*x+2] ogf_with_Euler_transform] A032246 6.77671 [-2/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A032247 3.94938 [(x^8-2*x^7+2*x^6+4*x^4+4*x^2+3)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A032248 3.81356 [-(x^6-2*x^5+x^4+4*x^3-2*x^2-2*x+4)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A032249 6.60315 [-2*(7+14*x-11*x^6+42*x^5+50*x^3+6*x^7-39*x^4-5*x^2)/(x-1)/(1+x)/(x^2+1)/(x^4-2*x^3+6*x^2-6*x+5) lgdogf] A032261 12.6820 [3/2*(9*x^2-2)/(3*x-1) egf] A032261 15.7973 [3*(2-6*x+9*x^2)/(3*x-1)/(9*x^2-2) lgdegf] A032263 12.8609 [3*x^3/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A032263 7.1172 [-24*f(x)*x^4+50*f(x)*x^3-35*f(x)*x^2+3*x^3+10*f(x)*x-f(x) ogf] A032279 4.99740 [-(x^6-x^5+2*x^3-x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A032279 5.97934 [-(1+5*x+20*x^7+6*x^6+14*x^5+6*x^2+10*x^3+16*x^4+x^10+5*x^11+16*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^6-x^5+2*x^3-x+1) lgdogf] A032280 3.85299 [-(4*x^6-2*x^5-2*x^4+4*x^3+x^2-2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A032343 13.6450 [-2*(-7+19*x+15*x^2)/(-1+x)/(10*x-1)/(x+1) lgdogf] A032343 4.05912 [(1910024*f(x)+252305)*(10*f(x)*x^4-31*f(x)*x^3+33*f(x)*x^2-13*f(x)*x-x^2+f(x)-x) ogf] A032343 8.23590 [x*(x+1)/(10*x-1)/(x-1)^3 ogf] A032349 32.7866 [x*(-1+x)^2/(x+1)^2 revogf] A032349 6.33834 [-x^2*f(x)^3+f(x)^2*x^2+2*f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A032351 7.06963 [-4*f(x)^2*x^3+8*f(x)^2*x^2-6*f(x)^2*x-6*f(x)*x^2+f(x)^2+10*f(x)*x-x^2-2*f(x)-4*x+1 ogf] A032357 16.8088 [1/2/x^2*(-1+x-2*x^2+(1-2*x+5*x^2)^(1/2)) revogf] A032357 4.54826 [{(4*n+10)*a(n+1)+(3*n+6)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A032357 7.18146 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)^2*x-f(x)*x-f(x)+1 ogf] A032438 18.0879 [-(5+19*x+3*x^3+9*x^2)/(x-1)/(x+1)/(x^2+2*x+3) lgdogf] A032438 9.66892 [-x^2*(x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A032440 5.04291 [-(2*x^6+6*x^5-12*x^4-10*x^3+8*x^2+3*x-1)/(x-1)/(x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A032441 5.47215 [-(2*x^5-3*x^4-6*x^3+4*x^2+2*x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A032443 4.88715 [{(-16*n-24)*a(n+1)+(8*n+18)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A032443 8.18066 [16*f(x)^2*x^2-8*f(x)^2*x+f(x)^2+4*f(x)*x-f(x)+x ogf] A032509 4.94701 [-x*(x^14-x^13+x^11-x^10-x^9-x^7-x^6-x^4-x^3-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A032512 17.3844 [x*(x+1)*(x^4-x^3+x^2-x+1)*(x^2-x+1)*(x^8+x^7-x^5-x^4-x^3+x+1)/(x-1)^2 ogf] A032512 9.96001 [(-2+13*x^15-15*x^14)/(x-1)/(x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) lgdogf] A032517 10.0437 [2*(-1+10*x^22-11*x^21)/(x-1)/(x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) lgdogf] A032517 17.5292 [x*(x^2+1)*(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A032518 10.0357 [x*(x^28-x^10-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^3 ogf] A032518 6.64452 [2*(-1805-6300*x^20+6650*x^19+6859*x^28+3920*x^30-4900*x^29+8550*x^10-9025*x^9)/(x-1)/(980*x^30-6859*x^28-350*x^20+475*x^10+1805) lgdogf] A032520 15.2279 [2*(-1+9*x^20-10*x^19)/(x-1)/(x^4+1)/(x^16-x^12+x^8-x^4+1) lgdogf] A032520 17.6139 [x*(x^4+1)*(x^16-x^12+x^8-x^4+1)/(x-1)^2 ogf] A032521 11.7163 [(-2+23*x^25-25*x^24)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(x^20-x^15+x^10-x^5+1) lgdogf] A032521 17.3599 [x*(x+1)*(x^4-x^3+x^2-x+1)*(x^20-x^15+x^10-x^5+1)/(x-1)^2 ogf] A032525 12.9238 [-x*(3*x^2+8*x+3)/(x+1)/(x-1)^3 ogf] A032525 16.5687 [-2*(7+17*x+3*x^3+15*x^2)/(x-1)/(x+1)/(3*x^2+8*x+3) lgdogf] A032525 6.88566 [-(6*f(x)+1013)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x+8*x^2-f(x)+3*x) ogf] A032526 11.9571 [-2*x*(x^2+3*x+1)/(x+1)/(x-1)^3 ogf] A032526 16.6463 [-(5+12*x+2*x^3+11*x^2)/(x-1)/(1+x)/(x^2+3*x+1) lgdogf] A032526 6.70012 [(f(x)-10)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+6*x^2-f(x)+2*x) ogf] A032527 12.6990 [-x*(x^2+3*x+1)/(x+1)/(x-1)^3 ogf] A032527 13.6506 [-(5+12*x+2*x^3+11*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A032527 7.17771 [(f(x)-5)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+3*x^2-f(x)+x) ogf] A032528 13.2472 [-x*(x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A032528 19.3017 [-2*(3+7*x+x^3+7*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A032528 7.05795 [-(58*f(x)-223)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+4*x^2-f(x)+x) ogf] A032545 21.1916 [-(x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^24+x^23-x^19-x^18-x^17-x^16+x^14+x^13+x^12+x^11+x^10-x^8-x^7-x^6-x^5+x+1)/(x-1) ogf] A032607 10.9299 [2*(12-x-4320*x^7+2520*x^6+1890*x^8)/(x-1)/(630*x^8-720*x^7+2*x-13) lgdogf] A032607 11.1564 [-(630*x^8-720*x^7+2*x-13)/(x-1)^2 ogf] A032608 10.9865 [(25-3*x+2700*x^7+3780*x^5-6300*x^6)/(x-1)/(540*x^7-630*x^6+3*x-14) lgdogf] A032608 11.2130 [-(540*x^7-630*x^6+3*x-14)/(x-1)^2 ogf] A032609 10.8783 [2*(13-2*x+1350*x^4-2160*x^5+900*x^6)/(x-1)/(450*x^6-540*x^5+4*x-15) lgdogf] A032609 11.2696 [-(450*x^6-540*x^5+4*x-15)/(x-1)^2 ogf] A032610 11.0997 [(27-5*x-2700*x^4+1800*x^3+1080*x^5)/(x-1)/(360*x^5-450*x^4+5*x-16) lgdogf] A032610 11.3263 [-(360*x^5-450*x^4+5*x-16)/(x-1)^2 ogf] A032611 11.3280 [2*(14-3*x-720*x^3+270*x^4+540*x^2)/(x-1)/(270*x^4-360*x^3+6*x-17) lgdogf] A032611 11.3829 [-(270*x^4-360*x^3+6*x-17)/(x-1)^2 ogf] A032611 5.91552 [(1508414699*f(x)+3218080078833)*(270*x^4+f(x)*x^2-360*x^3-2*f(x)*x+f(x)+6*x-17) ogf] A032612 11.4395 [-(180*x^3-270*x^2+7*x-18)/(x-1)^2 ogf] A032612 12.9835 [(29+533*x+180*x^3-540*x^2)/(x-1)/(180*x^3-270*x^2+7*x-18) lgdogf] A032612 5.76343 [-(2255339999*f(x)+2017630340190)*(f(x)*x^2+180*x^3-2*f(x)*x-270*x^2+f(x)+7*x-18) ogf] A032612 6.29174 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=18,a(1)=29,a(2)=310,a(3)=411} ogf] A032613 12.8998 [-(90*x^2-172*x-19)/(x-1)^2 ogf] A032613 19.4712 [-2*(-105+4*x)/(x-1)/(90*x^2-172*x-19) lgdogf] A032613 6.87184 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=19,a(1)=210,a(2)=311} ogf] A032613 7.13871 [(101*f(x)+20131)*(f(x)*x^2-2*f(x)*x+90*x^2+f(x)-172*x-19) ogf] A032614 15.7234 [-(9*x-110)/(x-1)^2 ogf] A032614 21.9438 [-(-55-x+(3025+101*x)^(1/2))/(9+x) revogf] A032614 26.8202 [-(-211+9*x)/(x-1)/(9*x-110) lgdogf] A032614 7.94625 [(202*f(x)+22301)*(f(x)*x^2-2*f(x)*x+f(x)+9*x-110) ogf] A032614 8.59302 [{-a(n+2)+2*a(n+1)-a(n),a(0)=110,a(1)=211} ogf] A032615 20.4163 [1+x^2+x^20*(x-1) ogf_with_Euler_transform] A032634 7.94903 [x^3*(x^17+x^14+x^11+x^8+x^6+x^3+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A032765 13.0074 [-2*(-1-3*x+x^5-2*x^4-x^3-3*x^2)/(x-1)/(x^2+x+1)/(x^3-2*x^2-1) lgdogf] A032765 9.94411 [x*(x^3-2*x^2-1)/(x^2+x+1)/(x-1)^3 ogf] A032766 10.3963 [f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x ogf] A032766 15.5033 [x*(2*x+1)/(x+1)/(x-1)^2 ogf] A032766 25.6160 [-(3+5*x+4*x^2)/(x-1)/(2*x+1)/(1+x) lgdogf] A032766 7.96115 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A032768 6.26688 [-4*x*(x+1)*(2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A032768 8.03721 [-(9+14*x+20*x^5+34*x^4+24*x^3+12*x^7+15*x^6+22*x^2)/(x-1)/(x+1)/(2*x^2-x+2)/(x^4+x^3+x^2+x+1) lgdogf] A032769 11.3291 [-(2+6*x+2*x^6+7*x^5+7*x^4+9*x^3+7*x^2)/(x-1)/(1+x)/(x^2+1)/(x^3+2*x^2+x+1) lgdogf] A032769 11.6583 [x*(x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A032775 10.0430 [x*(x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A032775 7.16255 [-(2+4*x+9*x^7+10*x^8+4*x^9+13*x^5+11*x^6+9*x^3+11*x^4+9*x^2+2*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+2*x^3+x^2+x+1) lgdogf] A032780 10.7861 [-5*(210-120*x+x^4-10*x^3+45*x^2)/(x-1)/(x^4-9*x^3+36*x^2-84*x+126) lgdogf] A032780 4.84172 [-64*x*(x^4-9*x^3+36*x^2-84*x+126)/(x-1)^9 ogf] A032780 5.81788 [{(n^2+15*n+50)*a(n+1)+(-n^2-7*n-6)*a(n+2),a(0)=0,a(1)=8064} ogf] A032793 12.2046 [(x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A032793 13.1010 [-(2+6*x+6*x^3+x^5+5*x^4+10*x^2)/(x-1)/(x^2+x+1)/(x^3+2*x^2+x+1) lgdogf] A032793 5.07301 [{(5*n+17)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-12)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A032793 6.73696 [-(20*f(x)-59)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A032794 3.99058 [-4*(9*x^9+47*x^8+52*x^7+164*x^6+206*x^5+91*x^4+125*x^3+47*x^2+7*x+2)/(x^2+x+1)^4/(x-1)^5 ogf] A032795 5.67712 [2*(3*x^6+11*x^5+10*x^4+23*x^3+19*x^2+5*x+4)/(x^2+x+1)^3/(x-1)^4 ogf] A032795 6.07540 [-(9+47*x+12*x^8+58*x^7+74*x^6+200*x^5+240*x^4+127*x^3+133*x^2)/(x-1)/(x^2+x+1)/(3*x^6+11*x^5+10*x^4+23*x^3+19*x^2+5*x+4) lgdogf] A032796 10.4812 [(x^5+x^4+2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A032796 8.40240 [-(2+4*x+x^9+3*x^8+8*x^7+8*x^6+10*x^5+16*x^4+9*x^3+9*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+2*x^3+x^2+x+1) lgdogf] A032797 7.51387 [(x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A032798 6.58669 [(x^11+x^10+x^9+x^8+x^7+2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A032799 3.30698 [-f(x)*(f(x)*x^2-2*f(x)*x+f(x)-x)^2 ogf] A032801 6.21956 [x^4*(x^3-x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A032801 8.72466 [-(3+4*x+5*x^6-4*x^5+9*x^4+8*x^3+7*x^2)/(x-1)/(x+1)/(1+x^2)/(x^3-x^2+x+1) lgdogf] A032818 5.03118 [(432*x^22+72*x^14+84*x^10+14*x^8+3*x^7+15*x^6+3*x^5+15*x^4+3*x^3+3*x^2+3*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A032908 12.8352 [-(3*x^2-6*x+2)/(x-1)/(x^2-3*x+1) ogf] A032908 6.99062 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=3} ogf] A032908 8.79718 [-f(x)*x^3+4*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+6*x-2 ogf] A032961 5.80973 [(x^15+x^14+x^13+x^12+x^11+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A032962 15.0458 [(x^4+1)*(x^8-x^4+1)/(x-1)^2 ogf] A032962 15.9966 [2*(-1+5*x^12-6*x^11)/(x-1)/(x^4+1)/(x^8-x^4+1) lgdogf] A032962 24.1698 [-x^23+x^11+2 ogf_with_Euler_transform] A032963 5.13786 [(x^18+x^17+x^16+x^15+x^14+x^13+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A032964 11.7365 [2*(-1-7*x^13+6*x^14)/(x-1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1) lgdogf] A032964 15.3529 [(x^2+1)*(x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A032965 4.60527 [(x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A032966 15.2704 [(x^16+1)/(x-1)^2 ogf] A032966 21.3432 [2*(-1+7*x^16-8*x^15)/(x-1)/(1+x^16) lgdogf] A032973 6.95590 [(3*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A033028 4.97479 [(50176*x^16+3808*x^15+241*x^14+3584*x+16)/(210*x^15+15*x^14+224*x+1)/(x-1)^2 ogf] A033029 5.00111 [(65025*x^17+4590*x^16+273*x^15+4335*x+17)/(240*x^16+16*x^15+255*x+1)/(x-1)^2 ogf] A033029 6.74958 [(-34-9248*x-15*x^14-9235*x^15-1119518*x^16+971040*x^17)/(x-1)/(69360*x^17+8959*x^16+545*x^15+4624*x+17) lgdogf] A033030 29.4580 [-3*x*f(x)+(1-3*x)*f(x)^2 lgdegf] A033030 5.38330 [{(-3*n-6)*a(n+1)+(-3*n-6)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A033032 5.33561 [(36*x^21+6*x^12+7*x^9+2*x^8+2*x^7+8*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A033037 7.12594 [(12*x^12+x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A033039 6.64830 [(14*x^14+x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A033040 6.68423 [(15*x^14+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A033041 6.26355 [(16*x^16+x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A033057 4.23082 [-(x^25+x^24+x^23+x^22+x^21-5*x^20-x^10-x^9-x^8-x^7-x^6-2*x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A033062 5.75083 [(x^15+x^14+x^13+x^12+x^11+x^10+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A033063 15.0458 [(x+1)*(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A033063 24.1698 [-x^21+x^10+2 ogf_with_Euler_transform] A033063 9.94386 [(-2-11*x^10+9*x^11)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A033064 5.16636 [(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A033065 15.3529 [(x+1)*(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A033065 8.83691 [(-2+11*x^13-13*x^12)/(x-1)/(1+x)/(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A033066 4.58424 [(x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A033067 15.2704 [(x+1)*(x^4-x^3+x^2-x+1)*(x^2-x+1)*(x^8+x^7-x^5-x^4-x^3+x+1)/(x-1)^2 ogf] A033067 8.68617 [(-2-15*x^14+13*x^15)/(x-1)/(1+x)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) lgdogf] A033076 7.68698 [(5*x^10+5*x^9-x^7-x^4-x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^3-1) ogf] A033077 7.12993 [(2*x^9+x^8+5*x^6+4*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(6*x^5-1) ogf] A033082 9.76949 [(x^5+3*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(4*x^3-1) ogf] A033113 17.5233 [1/(x-1)/(3*x-1)/(x+1) ogf] A033113 18.1523 [-(-3-2*x+9*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A033113 5.73772 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A033113 6.17487 [-(13*f(x)+27)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A033114 16.5422 [-2*(2*x+1)*(3*x-2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A033114 17.7799 [1/(x-1)/(4*x-1)/(x+1) ogf] A033114 5.82173 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A033114 6.26531 [-(39*f(x)+80)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A033115 16.5412 [1/(x-1)/(5*x-1)/(x+1) ogf] A033115 16.6573 [-(-5-2*x+15*x^2)/(x-1)/(5*x-1)/(x+1) lgdogf] A033115 5.41616 [{a(n+3)-5*a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=5,a(2)=26} ogf] A033115 5.66691 [-(651*f(x)+1325)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A033116 16.3746 [1/(x-1)/(6*x-1)/(x+1) ogf] A033116 16.9623 [-2*(-3-x+9*x^2)/(x-1)/(6*x-1)/(x+1) lgdogf] A033116 5.36158 [{a(n+3)-6*a(n+2)-a(n+1)+6*a(n),a(0)=1,a(1)=6,a(2)=37} ogf] A033116 5.55835 [-(1333*f(x)+2700)*(6*f(x)*x^3-f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A033117 20.9315 [-(-7-2*x+21*x^2)/(-1+x)/(7*x-1)/(x+1) lgdogf] A033117 21.2705 [1/(x-1)/(7*x-1)/(x+1) ogf] A033117 6.96467 [{a(n+3)-7*a(n+2)-a(n+1)+7*a(n),a(0)=1,a(1)=7,a(2)=50} ogf] A033117 7.22027 [-(2451*f(x)+4949)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A033118 15.8458 [-2*(-4-x+12*x^2)/(-1+x)/(-1+8*x)/(x+1) lgdogf] A033118 16.5980 [1/(x-1)/(8*x-1)/(x+1) ogf] A033118 5.43473 [{a(n+3)-8*a(n+2)-a(n+1)+8*a(n),a(0)=1,a(1)=8,a(2)=65} ogf] A033118 5.63418 [-(4161*f(x)+8384)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A033119 15.1201 [-(-9-2*x+27*x^2)/(-1+x)/(9*x-1)/(x+1) lgdogf] A033119 15.4384 [1/(x-1)/(9*x-1)/(x+1) ogf] A033119 5.05505 [{a(n+3)-9*a(n+2)-a(n+1)+9*a(n),a(0)=1,a(1)=9,a(2)=82} ogf] A033119 5.19292 [-(6643*f(x)+13365)*(9*f(x)*x^3-f(x)*x^2-9*f(x)*x+f(x)-1) ogf] A033120 10.5235 [-(-2-2*x-x^2+8*x^3-x^4+4*x^5)/(-1+x)/(2*x-1)/(x^2+1)/(x^2+x+1) lgdogf] A033120 11.6876 [(x^2+1)/(x-1)/(2*x-1)/(x^2+x+1) ogf] A033120 5.8438 [-(43*f(x)-124)*(2*f(x)*x^4-f(x)*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A033121 10.9540 [-(-3-2*x+12*x^3-x^4+6*x^5)/(3*x-1)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A033121 13.2703 [(x^2+1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A033121 6.57748 [-(701*f(x)-924)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-x^2+f(x)-1) ogf] A033122 10.2404 [-(-4-2*x+8*x^5+x^2+16*x^3-x^4)/(-1+4*x)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A033122 11.5413 [(x^2+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A033122 5.7205 [-(217*f(x)-184)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-1) ogf] A033123 12.9910 [(x^2+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A033123 6.22258 [-(22999*f(x)-14260)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-1) ogf] A033123 9.22557 [-(-5-2*x+2*x^2+20*x^3-x^4+10*x^5)/(5*x-1)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A033124 11.1913 [-(-6-2*x+3*x^2+24*x^3-x^4+12*x^5)/(6*x-1)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A033124 12.9820 [(x^2+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A033124 6.21829 [-(80459*f(x)-39108)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-1) ogf] A033125 12.5268 [(x^2+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A033125 5.95026 [-(232553*f(x)-92624)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-1) ogf] A033125 7.79144 [-(-7-2*x+14*x^5-x^4+28*x^3+4*x^2)/(x-1)/(7*x-1)/(1+x^2)/(x^2+x+1) lgdogf] A033126 11.4606 [-(-8-2*x+16*x^5-x^4+32*x^3+5*x^2)/(x-1)/(8*x-1)/(1+x^2)/(x^2+x+1) lgdogf] A033126 13.2861 [(x^2+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A033126 6.25872 [-(584191*f(x)-196624)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-1) ogf] A033127 5.86445 [-(1318031*f(x)-383472)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-1) ogf] A033127 6.56790 [-(-9-2*x+18*x^5-x^4+36*x^3+6*x^2)/(-1+x)/(9*x-1)/(x^2+1)/(x^2+x+1) lgdogf] A033127 7.80375 [(x^2+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A033128 10.0886 [-(-10-2*x+20*x^5-x^4+40*x^3+7*x^2)/(-1+x)/(10*x-1)/(1+x^2)/(x+1+x^2) lgdogf] A033128 11.8306 [(x^2+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A033128 5.62908 [-(2731499*f(x)-699020)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-1) ogf] A033129 12.0389 [x*(x+1)/(x-1)/(2*x-1)/(x^2+x+1) ogf] A033129 12.5152 [-3*(-1-x^2+2*x^3+2*x^4)/(x-1)/(-1+2*x)/(x+1)/(x^2+x+1) lgdogf] A033129 6.18212 [-(5*f(x)+4)*(2*f(x)*x^4-f(x)*x^3-2*f(x)*x-x^2+f(x)-x) ogf] A033130 11.9464 [-(-4+9*x^4+10*x^3-3*x^2)/(x-1)/(3*x-1)/(1+x)/(x^2+x+1) lgdogf] A033130 14.5234 [(x+1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A033130 6.7521 [-(10318*f(x)+2727)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x+f(x)-x-1) ogf] A033131 11.5204 [-(-5-3*x^2+14*x^3+12*x^4)/(x-1)/(-1+4*x)/(x+1)/(x^2+x+1) lgdogf] A033131 12.4124 [(x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A033131 5.77068 [-(17473*f(x)+3376)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-x-1) ogf] A033132 11.3727 [-3*(-2-x^2+6*x^3+5*x^4)/(x-1)/(5*x-1)/(x+1)/(x^2+x+1) lgdogf] A033132 11.6060 [(x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A033132 5.30274 [-(313004*f(x)+49175)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-x-1) ogf] A033133 10.7942 [-(-7-3*x^2+22*x^3+18*x^4)/(x-1)/(6*x-1)/(x+1)/(x^2+x+1) lgdogf] A033133 13.9618 [(x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A033133 6.37911 [-(268489*f(x)+35964)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-x-1) ogf] A033134 13.5306 [(x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A033134 6.0773 [-(3060250*f(x)+359023)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-x-1) ogf] A033134 9.26160 [-(-8+21*x^4+26*x^3-3*x^2)/(x-1)/(7*x-1)/(x+1)/(x^2+x+1) lgdogf] A033135 4.11511 [-(1901057*f(x)+198848)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-x-1) ogf] A033135 8.77816 [-3*(-3+8*x^4+10*x^3-x^2)/(x-1)/(8*x-1)/(x+1)/(x^2+x+1) lgdogf] A033135 9.16192 [(x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A033136 12.3917 [-(-10+27*x^4+34*x^3-3*x^2)/(-1+x)/(9*x-1)/(x+1)/(x^2+x+1) lgdogf] A033136 13.5567 [(x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A033136 5.98756 [-(17009032*f(x)+1606959)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-x-1) ogf] A033137 3.64196 [-(460579*f(x)+39700)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-x-1) ogf] A033137 7.21829 [-(-11+30*x^4+38*x^3-3*x^2)/(-1+x)/(10*x-1)/(x+1)/(x+1+x^2) lgdogf] A033137 7.81365 [(x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A033138 16.7370 [-(-2+8*x^3-3*x^2)/(x-1)/(2*x-1)/(x^2+x+1) lgdogf] A033138 17.0751 [1/(x-1)/(2*x-1)/(x^2+x+1) ogf] A033138 5.64580 [{-a(n+4)+2*a(n+3)+a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A033138 6.60452 [-(73*f(x)+160)*(2*f(x)*x^4-f(x)*x^3-2*f(x)*x+f(x)-1) ogf] A033139 15.3369 [-3*(-1-x^2+4*x^3)/(x-1)/(3*x-1)/(x^2+x+1) lgdogf] A033139 15.6548 [1/(3*x-1)/(x-1)/(x^2+x+1) ogf] A033139 5.13477 [{-a(n+4)+3*a(n+3)+a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=28} ogf] A033139 5.94301 [-(757*f(x)+1566)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x+f(x)-1) ogf] A033140 15.0034 [-(-4-3*x^2+16*x^3)/(-1+4*x)/(x-1)/(x^2+x+1) lgdogf] A033140 16.0453 [1/(4*x-1)/(x-1)/(x^2+x+1) ogf] A033140 5.22108 [{-a(n+4)+4*a(n+3)+a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=16,a(3)=65} ogf] A033140 6.03539 [-(1387*f(x)+2816)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-1) ogf] A033141 14.2041 [-(-5-3*x^2+20*x^3)/(x-1)/(5*x-1)/(x^2+x+1) lgdogf] A033141 14.8521 [1/(x-1)/(5*x-1)/(x^2+x+1) ogf] A033141 4.79476 [{-a(n+4)+5*a(n+3)+a(n+1)-5*a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=126} ogf] A033141 5.4859 [-(15751*f(x)+31750)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-1) ogf] A033142 17.7423 [-3*(-2-x^2+8*x^3)/(6*x-1)/(x-1)/(x^2+x+1) lgdogf] A033142 18.0482 [1/(x-1)/(6*x-1)/(x^2+x+1) ogf] A033142 5.82658 [{-a(n+4)+6*a(n+3)+a(n+1)-6*a(n),a(0)=1,a(1)=6,a(2)=36,a(3)=217} ogf] A033142 6.66646 [-(46873*f(x)+94176)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-1) ogf] A033143 18.4397 [-(-7-3*x^2+28*x^3)/(x-1)/(7*x-1)/(x^2+x+1) lgdogf] A033143 19.1953 [1/(x-1)/(7*x-1)/(x^2+x+1) ogf] A033143 6.19691 [{-a(n+4)+7*a(n+3)+a(n+1)-7*a(n),a(0)=1,a(1)=7,a(2)=49,a(3)=344} ogf] A033143 7.09017 [-(39331*f(x)+78890)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-1) ogf] A033144 15.2918 [-(-8+32*x^3-3*x^2)/(-1+x)/(-1+8*x)/(x^2+x+1) lgdogf] A033144 16.7077 [1/(x-1)/(8*x-1)/(x^2+x+1) ogf] A033144 5.39383 [{-a(n+4)+8*a(n+3)+a(n+1)-8*a(n),a(0)=1,a(1)=8,a(2)=64,a(3)=513} ogf] A033144 6.0621 [-(262657*f(x)+526336)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-1) ogf] A033145 16.3554 [-3*(-3+12*x^3-x^2)/(9*x-1)/(-1+x)/(x^2+x+1) lgdogf] A033145 17.4503 [1/(x-1)/(9*x-1)/(x^2+x+1) ogf] A033145 5.63356 [{-a(n+4)+9*a(n+3)+a(n+1)-9*a(n),a(0)=1,a(1)=9,a(2)=81,a(3)=730} ogf] A033145 6.27599 [-(532171*f(x)+1065798)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-1) ogf] A033146 15.2449 [-(-10+40*x^3-3*x^2)/(-1+x)/(10*x-1)/(x^2+x+1) lgdogf] A033146 16.2327 [1/(10*x-1)/(x-1)/(x^2+x+1) ogf] A033146 5.28792 [{-a(n+4)+10*a(n+3)+a(n+1)-10*a(n),a(0)=1,a(1)=10,a(2)=100,a(3)=1001} ogf] A033146 6.06961 [-(333667*f(x)+668000)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-1) ogf] A033171 6.85946 [-(730+1460*x+732*x^6+1461*x^5+2191*x^4+2921*x^3+2193*x^2)/(x-1)/(1+x)/(x^2+1)/(366*x^3+365*x^2+365*x+365) lgdogf] A033171 9.54277 [(366*x^3+365*x^2+365*x+365)/(x^2+1)/(x+1)/(x-1)^2 ogf] A033174 6.85946 [-(731+1461*x+730*x^6+1460*x^5+2190*x^4+2925*x^3+2191*x^2)/(x-1)/(1+x)/(x^2+1)/(365*x^3+365*x^2+365*x+366) lgdogf] A033174 9.54277 [(365*x^3+365*x^2+365*x+366)/(x^2+1)/(x+1)/(x-1)^2 ogf] A033175 11.5615 [(20*x+1)/(10*x-1)/(x-1) ogf] A033175 12.0753 [-1/20*(-1-11*x+(1+102*x+81*x^2)^(1/2))/(-2+x) revogf] A033175 12.6370 [-(-31+20*x+200*x^2)/(x-1)/(20*x+1)/(10*x-1) lgdogf] A033175 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=31} ogf] A033175 7.58702 [(321*f(x)+640)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-1) ogf] A033182 17.7573 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A033182 25.6509 [[x^5+x^4] ogf_with_Euler_transform] A033182 8.39785 [-x^4*(11*x^4+11*x^2+11*x+11*x^3+5+11*x^5)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A033183 17.5446 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A033183 29.3987 [x^8+x^3 ogf_with_Euler_transform] A033183 7.64953 [-x^3*(13*x^5+4*x^3+4*x^2+4*x^4+4*x+4+13*x^6+13*x^7+13*x^8)/(-1+x)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1) lgdogf] A033190 5.53769 [-f(x)*(5*f(x)*x^4-20*f(x)*x^3+x^4+21*f(x)*x^2-6*x^3-8*f(x)*x+5*x^2+f(x)-x) ogf] A033190 5.96767 [-(3-30*x+5*x^6-60*x^5+174*x^4-204*x^3+114*x^2)/(1+x^2-3*x)/(5*x^2-5*x+1)/(x^3-6*x^2+5*x-1) lgdogf] A033190 6.58584 [-x*(x^3-6*x^2+5*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A033191 5.8248 [-5*f(x)*x^4+20*f(x)*x^3+x^4-21*f(x)*x^2-10*x^3+8*f(x)*x+15*x^2-f(x)-7*x+1 ogf] A033191 5.83422 [(1-12*x+30*x^6-108*x^5+171*x^4-136*x^3+57*x^2)/(x-1)/(1+x^2-3*x)/(5*x^2-5*x+1)/(x^3-9*x^2+6*x-1) lgdogf] A033191 8.31178 [(x-1)*(x^3-9*x^2+6*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A033192 4.83935 [-(10*f(x)+3)*(f(x)*x^5-f(x)*x^4-5*f(x)*x^3+x^4+f(x)*x^2-x^3+3*f(x)*x-2*x^2-f(x)+x) ogf] A033192 6.70270 [-(1-4*x^6-6*x^5+2*x^7+15*x^4+10*x^3-11*x^2)/(x+1)/(1+x^2-3*x)/(x^2+x-1)/(x^3-x^2-2*x+1) lgdogf] A033192 8.91746 [-x*(x^3-x^2-2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A033193 3.88192 [(3+16*f(x))*(5*f(x)*x^4-20*f(x)*x^3-x^4+21*f(x)*x^2+7*x^3-8*f(x)*x-11*x^2+f(x)+6*x-1) ogf] A033193 5.95466 [(2-20*x-144*x^3+77*x^2+139*x^4-68*x^5+15*x^6)/(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1)/(x^3-6*x^2+5*x-1) lgdogf] A033193 6.57278 [(x-1)*(x^3-6*x^2+5*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A033275 17.1740 [-(21-14*x+3*x^2)/(x-1)/(x^2-4*x+5) lgdogf] A033275 4.03932 [{(15+5*n)*a(n+4)+(-39-9*n)*a(n+3)+(19+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=5,a(2)=21,a(3)=56} ogf] A033275 9.73331 [-x*(x^2-4*x+5)/(x-1)^5 ogf] A033276 15.0350 [-(-84+72*x+4*x^3-27*x^2)/(x-1)/(x^3-6*x^2+14*x-14) lgdogf] A033276 6.24786 [{(n^2+13*n+36)*a(n+1)+(-n^2-7*n-6)*a(n+2),a(0)=0,a(1)=14} ogf] A033276 6.86702 [x*(x^3-6*x^2+14*x-14)/(x-1)^7 ogf] A033277 5.61198 [-x*(x^4-8*x^3+27*x^2-48*x+42)/(x-1)^9 ogf] A033277 6.43998 [{(n^2+16*n+55)*a(n+1)+(-n^2-8*n-7)*a(n+2),a(0)=0,a(1)=42} ogf] A033277 8.08958 [-(330-330*x+5*x^4-44*x^3+165*x^2)/(x-1)/(x^4-8*x^3+27*x^2-48*x+42) lgdogf] A033278 4.27170 [x*(x^5-10*x^4+44*x^3-110*x^2+165*x-132)/(x-1)^11 ogf] A033278 6.21654 [{(n^2+19*n+78)*a(n+1)+(-n^2-9*n-8)*a(n+2),a(0)=0,a(1)=132} ogf] A033278 8.57667 [-(-1287+1430*x+6*x^5-65*x^4+312*x^3-858*x^2)/(x-1)/(x^5-10*x^4+44*x^3-110*x^2+165*x-132) lgdogf] A033279 6.07725 [{(n^2+22*n+105)*a(n+1)+(-n^2-10*n-9)*a(n+2),a(0)=0,a(1)=429} ogf] A033279 7.14285 [-(5005-6006*x+7*x^6-90*x^5+525*x^4-1820*x^3+4095*x^2)/(x-1)/(x^6-12*x^5+65*x^4-208*x^3+429*x^2-572*x+429) lgdogf] A033281 3.56347 [{(-4*n^3-78*n^2-500*n-1056)*a(n+1)+(n^3+15*n^2+56*n+60)*a(n+2),a(0)=1,a(1)=35} ogf] A033288 2.54154 [(f(x)-1)^2 ogf] A033296 6.01285 [f(x)^3*x^3+f(x)^2*x^3+6*f(x)^2*x^2+6*f(x)*x-f(x)+1 ogf] A033296 6.43039 [1/2*((1+6*x+x^2)^(1/2)*x^2+3*(1+6*x+x^2)^(1/2)*x+(1+6*x+x^2)^(1/2)-1-6*x-x^3-6*x^2)/x^2 revogf] A033297 4.07156 [{(4*n+14)*a(n+1)+(3*n+9)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A033297 5.44075 [f(x)^2*x^4+2*f(x)^2*x^3+f(x)^2*x^2+2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A033303 10.6338 [(x+1)/(x^3-x^2-2*x+1) ogf] A033303 12.8001 [-(-3-2*x+2*x^3+2*x^2)/(x+1)/(x^3-x^2-2*x+1) lgdogf] A033303 5.03204 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A033303 5.12353 [-(273*f(x)+10)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A033304 11.0403 [-(3*x^2-2*x-2)/(x^3-x^2-2*x+1) ogf] A033304 11.7856 [-(6-2*x+3*x^4-4*x^3+2*x^2)/(3*x^2-2*x-2)/(x^3-x^2-2*x+1) lgdogf] A033304 5.75606 [-(41*f(x)+13)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+3*x^2+f(x)-2*x-2) ogf] A033304 5.95982 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=6,a(2)=11} ogf] A033305 10.3730 [-2*x*(1+x^2+x-4*x^3+2*x^4)/(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A033305 9.17200 [-(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A033312 3.50862 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A033321 30.3494 [x*(-1+2*x)/(-1+x+x^2) revogf] A033321 6.63894 [-(2*x-1+(5*x-1)^(1/2)*x*(x-1)^(1/2)-(x-1)^(1/2)*(5*x-1)^(1/2))/(x-2)/(x-1)^(1/2)/x/(5*x-1)^(1/2) lgdogf] A033321 8.44432 [f(x)^2*x^2-2*f(x)^2*x+f(x)*x+f(x)-1 ogf] A033322 118.213 [1/(x+2) lgdogf] A033322 16.2449 [x+2-f(x) ogf] A033322 39.4042 [2*x/(2+(4+2*x)^(1/2)) revegf] A033322 8.77228 [{a(n+2),a(0)=2,a(1)=1} ogf] A033324 28.5341 [(2+2*x+3*x^2)/(x^2+4+2*x+x^3) lgdogf] A033324 6.04942 [{a(n+4),a(0)=4,a(1)=2,a(2)=1,a(3)=1} ogf] A033324 6.88703 [(f(x)-4)*(-x^3-x^2+f(x)-2*x-4) ogf] A033325 21.2176 [(2+2*x+4*x^3+3*x^2)/(x^2+5+2*x+x^4+x^3) lgdogf] A033325 5.02421 [{-a(n+5),a(0)=5,a(1)=2,a(2)=1,a(3)=1,a(4)=1} ogf] A033325 5.87245 [-(f(x)-2)*(-x^4-x^3-x^2+f(x)-2*x-5) ogf] A033326 16.2252 [(3+4*x+4*x^3+5*x^4+3*x^2)/(2*x^2+6+3*x+x^4+x^3+x^5) lgdogf] A033326 5.63828 [(f(x)-7)*(-x^5-x^4-x^3-2*x^2+f(x)-3*x-6) ogf] A033327 13.5654 [(3+4*x+6*x^5+4*x^3+5*x^4+3*x^2)/(2*x^2+7+3*x+x^4+x^3+x^6+x^5) lgdogf] A033328 11.3354 [(4+4*x+7*x^6+6*x^5+4*x^3+5*x^4+6*x^2)/(x^2+2*x+2)/(x^5-x^4+x^3+x^2-2*x+4) lgdogf] A033329 9.96973 [(4+6*x+7*x^6+6*x^5+4*x^3+8*x^7+5*x^4+6*x^2)/(3*x^2+9+4*x+x^8+x^4+2*x^3+x^6+x^5+x^7) lgdogf] A033330 8.66676 [(5+6*x+7*x^6+6*x^5+8*x^3+9*x^8+8*x^7+5*x^4+6*x^2)/(3*x^2+10+5*x+x^8+2*x^4+x^9+2*x^3+x^6+x^5+x^7) lgdogf] A033331 7.70379 [(5+6*x+7*x^6+6*x^5+8*x^3+9*x^8+8*x^7+5*x^4+6*x^2+10*x^9)/(3*x^2+11+5*x+x^8+2*x^4+x^9+2*x^3+x^10+x^6+x^5+x^7) lgdogf] A033332 6.70975 [(6+8*x+7*x^6+6*x^5+11*x^10+8*x^3+9*x^8+8*x^7+10*x^4+9*x^2+10*x^9)/(4*x^2+12+6*x+x^8+2*x^4+x^9+3*x^3+x^10+x^6+x^11+2*x^5+x^7) lgdogf] A033333 6.35122 [(1+x)*(12*x^10-x^9+11*x^8-2*x^7+10*x^6-3*x^5+9*x^4+x^3+7*x^2+2*x+6)/(13+4*x^2+3*x^3+2*x^4+2*x^5+x^6+x^7+x^8+x^9+x^10+x^11+6*x+x^12) lgdogf] A033428 14.1848 [-3*x*(x+1)/(x-1)^3 ogf] A033428 38.2864 [[4-x] ogf_with_Euler_transform] A033428 39.8491 [-2*(x+2)/(x-1)/(x+1) lgdogf] A033428 7.21904 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=12} ogf] A033428 7.55636 [(4*f(x)+3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+3*x) ogf] A033429 11.1479 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+5*x ogf] A033429 16.6241 [-5*x*(x+1)/(x-1)^3 ogf] A033429 44.8951 [[4-x] ogf_with_Euler_transform] A033429 46.7888 [-2*(x+2)/(x-1)/(x+1) lgdogf] A033429 8.46046 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=20} ogf] A033430 10.8422 [4*x*(x^2+4*x+1)/(x-1)^4 ogf] A033430 24.7290 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A033430 4.03176 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=32,a(3)=108} ogf] A033430 5.61063 [-(165*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-16*x^2+f(x)-4*x) ogf] A033431 10.7634 [2*x*(x^2+4*x+1)/(x-1)^4 ogf] A033431 24.2083 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A033431 3.96834 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=16,a(3)=54} ogf] A033431 5.97501 [-(330*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-8*x^2+f(x)-2*x) ogf] A033434 9.24999 [-f(x)^2*x^4-5*f(x)*x^3+7*f(x)*x^2-x^3-5*f(x)*x+f(x)+x-1 ogf] A033436 10.3232 [-(3+6*x+4*x^5+7*x^4+10*x^3+6*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A033436 22.5699 [x^3-x^2+3 ogf_with_Euler_transform] A033436 7.74240 [-x^2*(x^2+x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A033437 29.8431 [x^4-x^3+3 ogf_with_Euler_transform] A033437 7.60863 [-(3+6*x+7*x^6+10*x^5+4*x^7+13*x^4+8*x^3+9*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A033437 9.34684 [-x^2*(x^2+1)*(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A033438 22.1797 [x^5-x^4+3 ogf_with_Euler_transform] A033438 5.75788 [-(3+6*x+13*x^6+16*x^5+10*x^7+10*x^4+12*x^3+7*x^8+4*x^9+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A033438 6.40421 [-x^2*(x^4+x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A033439 28.3355 [x^6-x^5+3 ogf_with_Euler_transform] A033439 7.57349 [-x^2*(x+1)*(x^2-x+1)*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A033440 22.1797 [x^7-x^6+3 ogf_with_Euler_transform] A033440 5.48157 [-x^2*(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A033441 28.4731 [x^8-x^7+3 ogf_with_Euler_transform] A033441 6.53163 [-x^2*(x+1)*(x^2+1)*(x^4+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A033442 27.7920 [x^9-x^8+3 ogf_with_Euler_transform] A033442 5.91068 [-x^2*(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A033443 26.9980 [x^10-x^9+3 ogf_with_Euler_transform] A033443 5.57364 [-x^2*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A033444 26.1271 [x^11-x^10+3 ogf_with_Euler_transform] A033444 5.25001 [-x^2*(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A033445 17.2175 [-2*x*(-5+x^2-8*x)/(x-1)/(2*x^3-11*x^2+4*x-1) lgdogf] A033445 4.11074 [{(29*n^2+157*n+198)*a(n+1)+(-61*n^2-287*n-330)*a(n+2)+(32*n^2+121*n+75)*a(n+3),a(0)=1,a(1)=0,a(2)=5} ogf] A033445 5.30144 [-(99*f(x)+412)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-11*x^2+f(x)+4*x-1) ogf] A033445 9.85524 [-(2*x^3-11*x^2+4*x-1)/(x-1)^4 ogf] A033453 17.2812 [-(x+1)/(x^3-2*x^2+4*x-1) ogf] A033453 21.4866 [-(5-4*x+2*x^3+x^2)/(x+1)/(x^3-2*x^2+4*x-1) lgdogf] A033453 8.10536 [{-a(n+3)+4*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A033453 8.25139 [-(275*f(x)+193)*(f(x)*x^3-2*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A033455 37.4158 [[8-2*x] ogf_with_Euler_transform] A033455 38.8812 [-4*(x+2)/(x-1)/(x+1) lgdogf] A033455 5.86636 [{(-n-3)*a(n+3)+8*a(n+2)+(5+n)*a(n+1),a(0)=1,a(1)=8,a(2)=34} ogf] A033455 8.99952 [(x+1)^2/(x-1)^6 ogf] A033463 13.1138 [-4*(2+x+4*x^4-4*x^3+6*x^2)/(2*x-1)/(8*x^4-12*x^3+10*x^2-2*x+1) lgdogf] A033463 8.26386 [-(8*x^4-12*x^3+10*x^2-2*x+1)/(2*x-1)^5 ogf] A033478 10.0172 [(7*x^7+14*x^6+x^5+2*x^4-13*x^3-5*x^2-10*x-3)/(x-1)/(x^2+x+1) ogf] A033478 7.65457 [(10+10*x+12*x^3+28*x^9+42*x^8+2*x^7-47*x^6-84*x^5+48*x^2)/(x-1)/(x^2+x+1)/(7*x^7+14*x^6+x^5+2*x^4-13*x^3-5*x^2-10*x-3) lgdogf] A033481 6.96495 [(64+64*x-84*x^5-108*x^4-96*x^3+7*x^6+56*x^7+42*x^8+28*x^9+48*x^2)/(x-1)/(x^2+x+1)/(7*x^7+14*x^6+28*x^5+56*x^4+5*x^3-32*x^2-64*x-21) lgdogf] A033481 9.79736 [(7*x^7+14*x^6+28*x^5+56*x^4+5*x^3-32*x^2-64*x-21)/(x-1)/(x^2+x+1) ogf] A033482 5.45311 [(8*f(x)-5)*(11*f(x)*x^4-x^4-8*f(x)*x^2+4*x^3+3*x^2+f(x)-2*x-1) ogf] A033482 6.98404 [2*(2*x+1)*(11*x^5+7*x^4-12*x^3-4*x^2+3*x+1)/(x^4-4*x^3-3*x^2+2*x+1)/(11*x^4-8*x^2+1) lgdogf] A033482 8.10599 [(x^4-4*x^3-3*x^2+2*x+1)/(11*x^4-8*x^2+1) ogf] A033484 15.5674 [(x+1)/(x-1)/(2*x-1) ogf] A033484 17.1700 [-1/2*(-1-3*x+(1+10*x+x^2)^(1/2))/(2*x-1) revogf] A033484 19.6228 [-2*(-2+2*x+x^2)/(x-1)/(2*x-1)/(1+x) lgdogf] A033484 8.05211 [(17*f(x)+47)*(2*f(x)*x^2-3*f(x)*x+f(x)-x-1) ogf] A033484 8.54310 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=4} ogf] A033486 12.4125 [-12*x/(x-1)^5 ogf] A033486 7.63848 [{(n+1)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=12} ogf] A033486 97.9462 [-5/(x-1) lgdogf] A033487 12.0937 [-6*x/(x-1)^5 ogf] A033487 7.39713 [{(n+1)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=6} ogf] A033487 93.8839 [-5/(x-1) lgdogf] A033488 6.00856 [{(n+1)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=4} ogf] A033488 76.0491 [-5/(x-1) lgdogf] A033488 9.82352 [-4*x/(x-1)^5 ogf] A033504 13.4632 [-2*(12*x+13+2*(-4*x+1)^(1/2))/(4*x+3)/(4*x-1) lgdogf] A033504 3.39675 [{(16*n^2+88*n+120)*a(n+1)+(-8*n^2-42*n-52)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=10,a(2)=66} ogf] A033504 3.93763 [256*f(x)^2*x^4-256*f(x)^2*x^3+96*f(x)^2*x^2-16*f(x)^2*x-64*f(x)*x^2+f(x)^2+32*f(x)*x-4*f(x)+4*x+3 ogf] A033505 17.1384 [1/(x^3-x^2-3*x+1) ogf] A033505 19.4139 [-(-3-2*x+3*x^2)/(-x^2+1-3*x+x^3) lgdogf] A033505 5.61167 [{a(n+3)-3*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A033505 7.16211 [-(31*f(x)+9)*(f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A033506 6.89391 [-(x^2+2*x-1)*(x^2-x-1)/(x+1)/(x^5-x^4-9*x^3+9*x^2+5*x-1) ogf] A033507 4.36253 [-(x-1)*(x^6-x^5-12*x^4-2*x^3+18*x^2+3*x-1)/(x^9-x^8-23*x^7+29*x^6+91*x^5-111*x^4-41*x^3+41*x^2+9*x-1) ogf] A033515 10.9152 [-(32+72*x+x^6+69*x^2-4*x^3-15*x^4)/(x^3-8*x-4)/(x^4-9*x^2-6*x+1) lgdogf] A033515 11.6547 [-(x^2+2*x-1)/(x^4-9*x^2-6*x+1) ogf] A033515 6.23631 [(629*f(x)+59)*(f(x)*x^4-9*f(x)*x^2-6*f(x)*x+x^2+f(x)+2*x-1) ogf] A033516 6.37018 [-(x-1)*(x^3-2*x^2-6*x+1)/(x^6-2*x^5-18*x^4+46*x^3-6*x^2-14*x+1) ogf] A033517 4.88373 [-(x^6+2*x^5-21*x^4-36*x^3+9*x^2+14*x-1)/(x^8+3*x^7-40*x^6-119*x^5+159*x^4+209*x^3-76*x^2-25*x+1) ogf] A033536 3.86880 [{(-64*n^3-288*n^2-432*n-216)*a(n+1)+(n^3+9*n^2+27*n+27)*a(n+2),a(0)=1,a(1)=1} ogf] A033537 10.7336 [x*(3*x-7)/(x-1)^3 ogf] A033537 26.1228 [-6*(-3+x)/(x-1)/(3*x-7) lgdogf] A033537 5.46263 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=18} ogf] A033537 8.25403 [(4912*f(x)-37851)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+7*x) ogf] A033538 10.8425 [(3*x^2-3*x+1)/(x-1)/(x^2+3*x-1) ogf] A033538 10.9892 [-(-1-2*x+3*x^4-6*x^3+9*x^2)/(x-1)/(3*x^2-3*x+1)/(x^2+3*x-1) lgdogf] A033538 5.90530 [{-a(n+3)+4*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A033538 6.99463 [(3*f(x)+5)*(f(x)*x^3+2*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A033539 10.4693 [(1-4*x-14*x^3+4*x^4+11*x^2)/(x-1)/(-1+2*x+x^2)/(3*x^3-x^2-2*x+1) lgdogf] A033539 5.17910 [{-a(n+4)+3*a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=4} ogf] A033539 5.74488 [(f(x)-1)*(f(x)*x^3+f(x)*x^2-3*x^3-3*f(x)*x+x^2+f(x)+2*x-1) ogf] A033539 9.90784 [(3*x^3-x^2-2*x+1)/(x-1)/(x^2+2*x-1) ogf] A033543 10.2755 [-(3*x-1)*(1+(6*x-1)^(1/2)*(2*x-1)^(1/2))/(3*x-2)/(2*x-1)^(1/2)/x/(6*x-1)^(1/2) lgdogf] A033543 13.8055 [-3*f(x)^2*x^2+2*f(x)^2*x-f(x)+1 ogf] A033543 3.97329 [{(36*n+72)*a(n+1)+(-48*n-132)*a(n+2)+(19*n+71)*a(n+3)+(-2*n-10)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=16} ogf] A033543 40.0746 [x*(2*x-1)/(-1+3*x^2) revogf] A033544 13.4120 [-2*(35+29*x+3*x^3-19*x^2)/(x-1)/(2*x^3-11*x^2+16*x+9) lgdogf] A033544 3.64211 [{(-19*n^2-571*n-1542)*a(n+1)+(-442*n^2-3887*n-8695)*a(n+2)+(461*n^2+2058*n+2272)*a(n+3),a(0)=0,a(1)=27,a(2)=210} ogf] A033544 7.00134 [3*x*(2*x^3-11*x^2+16*x+9)/(x-1)^6 ogf] A033547 11.2114 [2*(x^2-x+1)*x/(x-1)^4 ogf] A033547 24.6546 [-x^5+x^2+x+3 ogf_with_Euler_transform] A033547 25.8967 [-(3-x+2*x^2)/(x-1)/(x^2-x+1) lgdogf] A033547 4.17567 [{(n+3)*a(n+4)+(-7-2*n)*a(n+3)+(3+2*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=6,a(3)=14} ogf] A033547 6.15363 [(5*f(x)+2)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+2*x^2+f(x)-2*x) ogf] A033550 3.43318 [{(n+3)*a(n+1)+(-4*n-11)*a(n+2)+(4*n+9)*a(n+3)+(-n-2)*a(n+4),a(0)=2,a(1)=2,a(2)=5,a(3)=15} ogf] A033550 4.78711 [(75*f(x)+1129)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2+4*x^3-5*f(x)*x-11*x^2+f(x)+8*x-2) ogf] A033550 8.71499 [-(4*x^3-11*x^2+8*x-2)/(x^2-3*x+1)/(x-1)^2 ogf] A033550 8.88587 [-(-2+8*x+4*x^5-18*x^4+29*x^3-19*x^2)/(x-1)/(x^2-3*x+1)/(4*x^3-11*x^2+8*x-2) lgdogf] A033562 13.4168 [-(3+19*x+x^3+25*x^2)/(x-1)/(x^3+11*x^2-x+1) lgdogf] A033562 5.73916 [(666*f(x)+2609)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-11*x^2+f(x)+x-1) ogf] A033562 7.57577 [(x^3+11*x^2-x+1)/(x-1)^4 ogf] A033566 16.8510 [-(9+34*x+5*x^2)/(x-1)/(5*x^2+12*x-1) lgdogf] A033566 5.46431 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=9,a(2)=35} ogf] A033566 7.64562 [(13920*f(x)-91549)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+12*x-1) ogf] A033566 9.95915 [-(5*x^2+12*x-1)/(x-1)^3 ogf] A033567 14.3734 [-(15*x^2+1)/(x-1)^3 ogf] A033567 17.7360 [-3*(1+10*x+5*x^2)/(x-1)/(15*x^2+1) lgdogf] A033567 7.00554 [-(2336*f(x)-11651)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+1) ogf] A033567 7.37751 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=21} ogf] A033568 13.3385 [-(12*x^2-x+1)/(x-1)^3 ogf] A033568 22.5464 [-2*(1+11*x+6*x^2)/(x-1)/(12*x^2-x+1) lgdogf] A033568 6.8346 [(66096*f(x)-248941)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)-x+1) ogf] A033568 7.31846 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=15} ogf] A033569 13.2297 [-(6*x^2+7*x-1)/(x-1)^3 ogf] A033569 16.1028 [-2*(2+13*x+3*x^2)/(x-1)/(6*x^2+7*x-1) lgdogf] A033569 6.66952 [(111024*f(x)-483041)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+7*x-1) ogf] A033569 7.14170 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=4,a(2)=21} ogf] A033570 13.3545 [-(2*x^2+9*x+1)/(x-1)^3 ogf] A033570 22.8400 [-2*(6+11*x+x^2)/(x-1)/(2*x^2+9*x+1) lgdogf] A033570 6.67726 [(187056*f(x)-1045991)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+9*x+1) ogf] A033570 7.14583 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=35} ogf] A033571 16.3680 [-2*(x+9)*(1+2*x)/(x-1)/(4*x^2+15*x+1) lgdogf] A033571 5.43815 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=18,a(2)=55} ogf] A033571 7.36148 [(1354800*f(x)-12144037)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+15*x+1) ogf] A033571 9.99918 [-(4*x^2+15*x+1)/(x-1)^3 ogf] A033572 17.1673 [-6*(4+9*x+x^2)/(x-1)/(6*x^2+21*x+1) lgdogf] A033572 5.39540 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=24,a(2)=75} ogf] A033572 7.32036 [(1687952*f(x)-20871857)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+21*x+1) ogf] A033572 9.92058 [-(6*x^2+21*x+1)/(x-1)^3 ogf] A033573 15.1001 [-2*(15+35*x+4*x^2)/(x-1)/(8*x^2+27*x+1) lgdogf] A033573 5.28954 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=30,a(2)=95} ogf] A033573 7.21743 [(2725488*f(x)-42997213)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+27*x+1) ogf] A033573 9.72594 [-(8*x^2+27*x+1)/(x-1)^3 ogf] A033574 14.7033 [-3*(11+26*x+3*x^2)/(x-1)/(9*x^2+30*x+1) lgdogf] A033574 5.10795 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=33,a(2)=105} ogf] A033574 7.5504 [(13450*f(x)-235147)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+30*x+1) ogf] A033574 9.47442 [-(9*x^2+30*x+1)/(x-1)^3 ogf] A033575 14.4231 [-2*(18+43*x+5*x^2)/(x-1)/(10*x^2+33*x+1) lgdogf] A033575 4.61648 [(30114480*f(x)-577922047)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+33*x+1) ogf] A033575 5.13835 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=36,a(2)=115} ogf] A033575 9.37952 [-(10*x^2+33*x+1)/(x-1)^3 ogf] A033576 14.8826 [-(39+94*x+11*x^2)/(x-1)/(11*x^2+36*x+1) lgdogf] A033576 4.71751 [(1327968*f(x)-27753403)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+36*x+1) ogf] A033576 5.16876 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=39,a(2)=125} ogf] A033576 9.43503 [-(11*x^2+36*x+1)/(x-1)^3 ogf] A033577 13.2855 [-(6*x^2+17*x+1)/(x-1)^3 ogf] A033577 20.7348 [-2*(10+23*x+3*x^2)/(x-1)/(6*x^2+17*x+1) lgdogf] A033577 6.58962 [(2642112*f(x)-26718715)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+17*x+1) ogf] A033577 7.22546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=20,a(2)=63} ogf] A033578 13.0429 [-(20*x^2+3*x+1)/(x-1)^3 ogf] A033578 20.3491 [-2*(3+23*x+10*x^2)/(x-1)/(20*x^2+3*x+1) lgdogf] A033578 6.52144 [(1287360*f(x)-9554477)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+3*x+1) ogf] A033578 7.15627 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=35} ogf] A033579 14.5085 [-4*x*(2*x+1)/(x-1)^3 ogf] A033579 37.0682 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A033579 7.25427 [-(27*f(x)-104)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+4*x) ogf] A033579 7.38380 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=20} ogf] A033580 10.6427 [-4*x*(x+2)/(x-1)^3 ogf] A033580 29.7901 [-(2*x+7)/(x+2)/(x-1) lgdogf] A033580 5.41638 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=28} ogf] A033580 7.32144 [-(81*f(x)-380)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+8*x) ogf] A033581 14.0913 [-6*x*(x+1)/(x-1)^3 ogf] A033581 38.0221 [[4-x] ogf_with_Euler_transform] A033581 39.5893 [-2*(x+2)/(x-1)/(x+1) lgdogf] A033581 7.17147 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=24} ogf] A033581 7.5066 [(2*f(x)+3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+6*x) ogf] A033582 10.7061 [-7*x*(x+1)/(x-1)^3 ogf] A033582 28.8388 [[4-x] ogf_with_Euler_transform] A033582 29.9706 [-2*(x+2)/(x-1)/(x+1) lgdogf] A033582 5.44862 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=28} ogf] A033582 7.94354 [(4*f(x)+7)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+7*x) ogf] A033583 13.1135 [-10*x*(x+1)/(x-1)^3 ogf] A033583 36.6052 [[4-x] ogf_with_Euler_transform] A033583 38.1242 [-2*(x+2)/(x-1)/(x+1) lgdogf] A033583 6.84688 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=40} ogf] A033583 7.09814 [(2*f(x)+5)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+10*x) ogf] A033584 10.0032 [-11*x*(x+1)/(x-1)^3 ogf] A033584 27.8750 [[4-x] ogf_with_Euler_transform] A033584 28.9761 [-2*(x+2)/(x-1)/(x+1) lgdogf] A033584 5.22290 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=44} ogf] A033584 5.36534 [(4*f(x)+11)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+11*x) ogf] A033585 10.6460 [-2*x*(3*x+5)/(x-1)^3 ogf] A033585 27.5743 [-6*(x+3)/(3*x+5)/(x-1) lgdogf] A033585 5.46431 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=36} ogf] A033585 7.24921 [(1952*f(x)-11739)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+10*x) ogf] A033586 13.4884 [-4*x*(x+3)/(x-1)^3 ogf] A033586 38.5523 [-2*(5+x)/(x+3)/(x-1) lgdogf] A033586 6.92327 [(492*f(x)-3367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+12*x) ogf] A033586 6.92327 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=40} ogf] A033587 14.0276 [-2*x*(x+7)/(x-1)^3 ogf] A033587 38.2023 [-2*(x+11)/(x+7)/(x-1) lgdogf] A033587 6.95385 [(18016*f(x)-144495)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+14*x) ogf] A033587 7.20001 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=44} ogf] A033588 3.68771 [-2*x*(5*x+3)/(x-1)^3 ogf] A033588 8.20865 [-2*(5*x+7)/(5*x+3)/(-1+x) lgdogf] A033589 10.6008 [-6*(1+30*x+10*x^3+55*x^2)/(x-1)/(60*x^3+75*x^2+10*x-1) lgdogf] A033589 3.66379 [(1189704672*f(x)+37374313051)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-60*x^3-4*f(x)*x-75*x^2+f(x)-10*x+1) ogf] A033589 7.28179 [(60*x^3+75*x^2+10*x-1)/(x-1)^4 ogf] A033590 5.39960 [-(360*x^4+1665*x^3+835*x^2+19*x+1)/(x-1)^5 ogf] A033590 7.15061 [-6*(4+291*x+60*x^4+795*x^3+1250*x^2)/(x-1)/(360*x^4+1665*x^3+835*x^2+19*x+1) lgdogf] A033591 11.2904 [-6*(10+55*x+x^3+30*x^2)/(x-1)/(6*x^3+81*x^2+56*x+1) lgdogf] A033591 3.61519 [-(3090796704*f(x)+157925888621)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-81*x^2+f(x)-56*x-1) ogf] A033591 7.45922 [(6*x^3+81*x^2+56*x+1)/(x-1)^4 ogf] A033592 7.32306 [-(24*x^4+825*x^3+1675*x^2+355*x+1)/(x-1)^5 ogf] A033592 9.74745 [-6*(60+795*x+4*x^4+291*x^3+1250*x^2)/(x-1)/(24*x^4+825*x^3+1675*x^2+355*x+1) lgdogf] A033593 5.54845 [-(120*x^4+345*x^3+115*x^2-5*x+1)/(x-1)^5 ogf] A033593 8.47106 [-30*x*(7+4*x^3+39*x^2+46*x)/(x-1)/(120*x^4+345*x^3+115*x^2-5*x+1) lgdogf] A033594 12.8835 [-6*x*(5+4*x^2+15*x)/(x-1)/(24*x^3+9*x^2+4*x-1) lgdogf] A033594 4.02398 [(985608*f(x)+7345433)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-24*x^3-4*f(x)*x-9*x^2+f(x)-4*x+1) ogf] A033594 7.68683 [(24*x^3+9*x^2+4*x-1)/(x-1)^4 ogf] A033595 12.1796 [-6*x*(7+7*x^2+26*x)/(x-1)/(21*x^3+31*x^2-5*x+1) lgdogf] A033595 6.54543 [-(21*x^3+31*x^2-5*x+1)/(x-1)^5 ogf] A033596 13.5238 [-2*x*(1+x^2+18*x)/(x-1)/(x^3+11*x^2-5*x+1) lgdogf] A033596 4.44421 [{(-3*n^2-22*n-39)*a(n+1)+(16*n^2+104*n+144)*a(n+2)+(-13*n^2-42*n-9)*a(n+3),a(0)=3,a(1)=0,a(2)=3} ogf] A033596 9.08816 [-3*(x^3+11*x^2-5*x+1)/(x-1)^5 ogf] A033598 5.93444 [-(x^4-x^3+3*x^2-x+1)*(x+1)^3/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A033598 7.51340 [-(4+2*x+4*x^5+38*x^4+4*x^3+25*x^6+2*x^7+4*x^8+25*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2+x+1)/(x^4-x^3+3*x^2-x+1) lgdogf] A033619 7.96568 [-x*(x^97+2*x^96-25890*x^5+3237*x^4-404*x^3+51*x^2-6*x+1)/(3*x^97-2*x^96+25890*x^7-55017*x^6+32768*x^5-4096*x^4+512*x^3-64*x^2+8*x-1) ogf] A033622 5.74488 [-(-5-28*x+8*x^2+108*x^3+68*x^4-96*x^5-160*x^6+32*x^7+64*x^8)/(-1+x)/(2*x+1)/(2*x-1)/(2*x^2-1)/(8*x^4+2*x^3-8*x^2-4*x-1) lgdogf] A033622 7.49727 [(8*x^4+2*x^3-8*x^2-4*x-1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A033626 3.50437 [(32*x^7-32*x^6-120*x^5-245333071*x^4+142*x^3+490666264*x^2-54*x-245333159)/(x-1)^3/(x+1)^3 ogf] A033627 14.7253 [(x^3+x^2+1)/(x-1)^2 ogf] A033627 22.8601 [(-2-2*x+x^3-3*x^2)/(x-1)/(x^3+x^2+1) lgdogf] A033627 7.36263 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A033627 8.653 [(3*f(x)-1)*(f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-1) ogf] A033638 14.2380 [-(x^3-x+1)/(x+1)/(x-1)^3 ogf] A033638 21.3051 [-(1+2*x+x^4+2*x^3)/(x-1)/(x+1)/(x^3-x+1) lgdogf] A033638 7.82446 [(4*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-f(x)-x+1) ogf] A033662 12.9918 [-(x^5+2*x^3+x^2-x-4)/(x-1)^2 ogf] A033662 15.9898 [(9-x+3*x^5-5*x^4+2*x^3-6*x^2)/(x-1)/(x^5+2*x^3+x^2-x-4) lgdogf] A033685 10.7554 [-(-2*x^5-x^2)/(x^6+x^3+1) ogf_with_Euler_transform] A033686 19.7848 [-(-4*x-2)/(x^2+x+1) ogf_with_Euler_transform] A033687 17.4423 [-(-2*x-1)/(x^2+x+1) ogf_with_Euler_transform] A033690 16.7523 [-(-8*x-4)/(x^2+x+1) ogf_with_Euler_transform] A033691 11.1952 [-(2+2*x+3*x^4+x^6-2*x^7+x^8+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^5-2*x^4+x^3+1) lgdogf] A033691 9.23436 [-4*(x^5-2*x^4+x^3+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A033713 10.0296 [-9*x/(x-1)/(10*x-1)^2 ogf] A033713 18.2585 [-3*(-7+10*x)/(10*x-1)/(x-1) lgdogf] A033713 4.24981 [{a(n+3)-21*a(n+2)+120*a(n+1)-100*a(n),a(0)=0,a(1)=9,a(2)=189} ogf] A033713 4.82191 [(7*f(x)+3)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-f(x)+9*x) ogf] A033714 10.5068 [-(100*x^2-11*x+1)/(x-1)/(10*x-1)^2 ogf] A033714 5.99146 [(53*f(x)-37)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x+100*x^2-f(x)-11*x+1) ogf] A033714 6.04139 [{a(n+3)-21*a(n+2)+120*a(n+1)-100*a(n),a(0)=1,a(1)=10,a(2)=190} ogf] A033714 8.40359 [-10*(-1-6*x+100*x^3-12*x^2)/(x-1)/(10*x-1)/(100*x^2-11*x+1) lgdogf] A033715 6.41732 [-(2*x^6+x^4-x^3+3*x^2+x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A033715 99.9999 Evaluated at exp(-Pi) 1/8*GAMMA(5/8)^2*(2+2^(1/2))^(3/2)*2^(1/2)/Pi^(1/2)/GAMMA(7/8)^2 A033716 5.96290 [-(2*x^8-2*x^7+3*x^6-2*x^5-x^4+x^3+4*x^2-3*x+2)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A033716 99.9999 Evaluated at exp(-Pi) 1/6*3^(3/4)*GAMMA(2/3)/GAMMA(3/4)*(1+3^(1/2))/GAMMA(11/12) A033718 4.98021 [-(-2*x^14+2*x^13-3*x^12+2*x^11-x^10+2*x^9-x^8-x^7+x^6+x^5-4*x^4+x^3-2*x^2+3*x-2)/(x^15+x^10+x^5+1) ogf_with_Euler_transform] A033718 99.9999 Evaluated at exp(-Pi) 1/800*5^(3/4)*Pi^(1/2)/GAMMA(3/4)^2*2^(1/2)*(5-5^(1/2))^(3/2)*(5^(1/2)+1)^3 A033741 3.30287 [-(-7*x^31-x^30-10*x^29-4*x^28-2*x^2+2*x-4)/(3*x^32+3*x^31+3*x^30+3*x^29+2*x^3+2*x^2+2*x+2) ogf_with_Euler_transform] A033743 3.30287 [-(7*x^33+x^32+10*x^31+4*x^30+2*x^2-2*x+4)/(-3*x^34-3*x^33-3*x^32-3*x^31-2*x^3-2*x^2-2*x-2) ogf_with_Euler_transform] A033761 13.8570 [-(2*x^2+x+1)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A033761 99.9999 Evaluated at exp(-Pi) 1/4*exp(3/8*Pi)*Pi^(1/2)*2^(1/8)/GAMMA(3/4)^2 A033762 11.8177 [-(2*x^2-x+1)/(-x^3-1) ogf_with_Euler_transform] A033763 6.48554 [-(-3*x^6-2*x^5-2*x^4-x^3-2*x^2-x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A033763 99.9999 Evaluated at exp(-Pi) 1/64*exp(7/8*Pi)*2^(7/8)*GAMMA(5/8)^3*(1+2^(1/2))/Pi^(3/4)/GAMMA(7/8)^3 A033764 11.1465 [-(2*x^4-x^3+x^2-x+1)/(-x^5-1) ogf_with_Euler_transform] A033765 8.29928 [-(4*x^8-x^7+2*x^5+x^4-x^3+2*x^2+1)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A033768 6.49168 [-(3*x^8-x^7+x^6-2*x^5+x^4-x^3+2*x^2-x+1)/(-x^9-1) ogf_with_Euler_transform] A033770 4.89309 [-(2*x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(-x^11-1) ogf_with_Euler_transform] A033772 4.16371 [-(2*x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(-x^13-1) ogf_with_Euler_transform] A033774 5.38393 [-(-4*x^14+x^13-x^12+2*x^11-x^10+2*x^9-2*x^8+x^7-x^6+2*x^5-2*x^4+x^3-2*x^2+x-1)/(x^15+1) ogf_with_Euler_transform] A033776 3.76043 [-(2*x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(-x^17-1) ogf_with_Euler_transform] A033811 12.9246 [-(-10+2*x+3*x^3+13*x^2)/(x-1)/(x+3)/(x^2+x-1) lgdogf] A033811 4.65007 [(24280*f(x)+4951)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+x+3) ogf] A033811 9.75754 [-(x+3)/(x^2+x-1)/(x-1)^2 ogf] A033813 10.0921 [-(3*x+4)/(x^2+x-1)/(x-1)^2 ogf] A033813 4.73551 [(652750*f(x)+83437)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+3*x+4) ogf] A033814 10.4266 [-(4*x+7)/(x^2+x-1)/(x-1)^2 ogf] A033814 12.9671 [-(-25+3*x+12*x^3+32*x^2)/(x-1)/(4*x+7)/(x^2+x-1) lgdogf] A033814 5.77505 [-(10522545*f(x)-3813166)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+4*x+7) ogf] A033816 13.4540 [-(2*x^2-x+3)/(x-1)^3 ogf] A033816 26.8403 [-2*(4+x+x^2)/(x-1)/(2*x^2-x+3) lgdogf] A033816 7.01448 [(2864*f(x)-1977)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-x+3) ogf] A033816 7.26278 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=8,a(2)=17} ogf] A033817 6.58323 [(4440*f(x)-207179)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-11*x+7) ogf] A033817 7.95442 [(11*x-7)/(x^2+x-1)/(x-1)^2 ogf] A033817 9.59138 [-(10-18*x+33*x^3-17*x^2)/(-1+x)/(11*x-7)/(x^2+x-1) lgdogf] A033818 10.9430 [-(5-7*x+12*x^3-8*x^2)/(-1+x)/(4*x-3)/(x^2+x-1) lgdogf] A033818 7.00311 [-(25*f(x)+866)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-4*x+3) ogf] A033818 8.47511 [(4*x-3)/(x^2+x-1)/(x-1)^2 ogf] A033876 14.5153 [1/4*((2*x+1)^(1/3)-1)*((2*x+1)^(1/3)+1)/(2*x+1)^(2/3) revogf] A033876 4.62832 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2-64*f(x)*x^3+f(x)^2*x+48*f(x)*x^2-12*f(x)*x-16*x^2+f(x)+12*x-3 ogf] A033876 7.37913 [{(4*n+14)*a(n+1)+(-n-3)*a(n+2),a(0)=3,a(1)=15} ogf] A033886 11.482 [-(f(x)-1)^3 ogf] A033887 13.8701 [1/2/(x-1)*(-1-4*x+(1+4*x+20*x^2)^(1/2)) revogf] A033887 17.5937 [(x-1)/(x^2+4*x-1) ogf] A033887 18.0311 [-(x+1)*(x-3)/(x-1)/(x^2+4*x-1) lgdogf] A033887 8.79686 [-(14*f(x)-5)*(f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A033887 9.65510 [{-a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A033888 10.2796 [{a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A033888 14.1127 [-f(x)*x^2+7*f(x)*x-f(x)+3*x ogf] A033888 16.1395 [-1/2*(-3-7*x+(3+5*x)^(1/2)*(1+3*x)^(1/2)*3^(1/2))/x revogf] A033888 22.5040 [3*x/(x^2-7*x+1) ogf] A033888 39.1959 [-(-7+2*x)/(x^2+1-7*x) lgdogf] A033889 17.2104 [-(2*x-1)/(x^2-7*x+1) ogf] A033889 19.0481 [-1/2*(-1-7*x+(1+6*x+45*x^2)^(1/2))/(x+2) revogf] A033889 21.7693 [-(5-2*x+2*x^2)/(-1+2*x)/(x^2-7*x+1) lgdogf] A033889 8.60519 [-(33*f(x)-8)*(f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A033889 9.44471 [{a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=5} ogf] A033890 15.7986 [(x+1)/(x^2-7*x+1) ogf] A033890 15.8767 [-1/2*(-1-7*x+((1+3*x)*(1+15*x))^(1/2))/(x-1) revogf] A033890 23.2858 [-(x+4)*(x-2)/(x+1)/(x^2-7*x+1) lgdogf] A033890 8.26674 [(27*f(x)+5)*(f(x)*x^2-7*f(x)*x+f(x)-x-1) ogf] A033890 8.66999 [{-a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A033891 11.7123 [-(x-2)/(x^2-7*x+1) ogf] A033891 12.5677 [-1/2*(-2-7*x+(4+24*x+45*x^2)^(1/2))/(x+1) revogf] A033891 16.1024 [-(13-4*x+x^2)/(-2+x)/(x^2-7*x+1) lgdogf] A033891 5.85616 [-(87*f(x)-5)*(f(x)*x^2-7*f(x)*x+f(x)+x-2) ogf] A033891 6.35006 [{a(n+2)-7*a(n+1)+a(n),a(0)=2,a(1)=13} ogf] A033930 7.05144 [(x^11-9*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A033931 10.1571 [-2*(1+10*x+2*x^5+5*x^4+20*x^3+10*x^2)/(x-1)/(1+x)/(1+x^4+2*x^3+6*x^2+2*x) lgdogf] A033931 5.56044 [{(n^2+11*n+30)*a(n+1)+(-n^2-5*n-6)*a(n+3),a(0)=6,a(1)=12,a(2)=60} ogf] A033931 8.21978 [6*(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A033934 4.83865 [(3224529*f(x)-1210304)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1210*x^2-f(x)-323*x+4) ogf] A033934 5.22267 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=4,a(1)=121,a(2)=10201} ogf] A033934 8.89265 [-(1210*x^2-323*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A033937 10.0768 [-(x+2)/(x^2+x-1)/(x-1)^2 ogf] A033937 14.6573 [-(-7+x+3*x^3+9*x^2)/(x+2)/(x-1)/(x^2+x-1) lgdogf] A033937 4.72834 [-(4398*f(x)-457)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+x+2) ogf] A033940 12.2998 [-(3-2*x-2*x^5+5*x^6+7*x^4-10*x^3+13*x^2)/(x-1)/(1+x)/(x^2-x+1)/(5*x^3-x^2+2*x+1) lgdogf] A033940 14.5310 [-(5*x^3-x^2+2*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A033940 8.15154 [-(f(x)-2)*(f(x)*x^4-f(x)*x^3+5*x^3+f(x)*x-x^2-f(x)+2*x+1) ogf] A033951 13.1806 [-(2*x^2+5*x+1)/(x-1)^3 ogf] A033951 23.1971 [-2*(4+7*x+x^2)/(x-1)/(2*x^2+5*x+1) lgdogf] A033951 6.70012 [(35008*f(x)-114703)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+5*x+1) ogf] A033951 7.11517 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=23} ogf] A033954 14.0384 [-x*(x+7)/(x-1)^3 ogf] A033954 37.5571 [-2*(x+11)/(x+7)/(x-1) lgdogf] A033954 6.89816 [(36032*f(x)-144495)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+7*x) ogf] A033954 7.14452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=22} ogf] A033960 10.4709 [-(2*x+3)/(x^2+x-1)/(x-1)^2 ogf] A033960 13.8886 [-(-11+x+6*x^3+14*x^2)/(x-1)/(2*x+3)/(x^2+x-1) lgdogf] A033960 4.99001 [(89845*f(x)-5428)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+2*x+3) ogf] A033991 14.3874 [-x*(5*x+3)/(x-1)^3 ogf] A033991 33.6888 [-2*(5*x+7)/(5*x+3)/(x-1) lgdogf] A033991 7.25736 [(2880*f(x)-7469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+3*x) ogf] A033991 7.32216 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=14} ogf] A033994 12.4575 [(3*x+2)/(x-1)^4 ogf] A033994 32.3980 [-(11+9*x)/(3*x+2)/(x-1) lgdogf] A033994 4.96673 [{(-2*n-6)*a(n+3)+(9-n)*a(n+2)+(12+3*n)*a(n+1),a(0)=2,a(1)=11,a(2)=32} ogf] A033994 5.84546 [(98875*f(x)+337574)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-3*x-2) ogf] A033996 10.392 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+8*x ogf] A033996 17.7819 [-8*x/(x-1)^3 ogf] A033996 7.14452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=24} ogf] A033996 98.5875 [-3/(x-1) lgdogf] A033999 123.999 [-1/(x+1) lgdogf] A033999 123.999 [-x/(x-1) revogf] A033999 15.6239 [{-a(n+1)-a(n),a(0)=1} ogf] A033999 19.8157 [f(x)*x+f(x)-1 ogf] A033999 32.4978 [1/(x+1) ogf] A033999 38.5904 [[-1+x] ogf_with_Euler_transform] A034000 10.0212 [1/3*(-1+(1+2*x)^(1/2)+2*(1+2*x)^(1/2)*x)/(1+2*x)^(3/2) revegf] A034000 36.0762 [-5+(1-3*x)*f(x) lgdegf] A034000 6.27814 [{(-3*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A034001 16.9134 [1/(3*x-1)^2 egf] A034001 54.6810 [-6/(3*x-1) lgdegf] A034001 6.34252 [{(-3*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A034001 6.80662 [(5*f(x)+11)*(9*f(x)*x^2-6*f(x)*x+f(x)-1) egf] A034001 60.7566 [x/(1+3*x) revegf] A034007 35.6753 [4*x/(-1+2*x)/(x-1) lgdogf] A034007 5.21966 [{-a(n+5)+4*a(n+4)-4*a(n+3),a(0)=1,a(1)=0,a(2)=2,a(3)=4,a(4)=9} ogf] A034007 7.49951 [-x^4+4*f(x)*x^2+4*x^3-4*f(x)*x-6*x^2+f(x)+4*x-1 ogf] A034007 9.45591 [(x-1)^4/(2*x-1)^2 ogf] A034008 13.6397 [-2*f(x)*x-x^2+f(x)+2*x-1 ogf] A034008 16.0645 [-(x-1)^2/(2*x-1) ogf] A034008 41.9015 [2*x/(2*x-1)/(x-1) lgdogf] A034008 8.70969 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=0,a(2)=1} ogf] A034009 23.5586 [-4*(-2+3*x)/(-1+2*x)/(x-1) lgdogf] A034009 4.08859 [{(-n-3)*a(n+3)+(14+3*n)*a(n+2)+(-14-2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=38} ogf] A034009 9.06601 [1/(2*x-1)^2/(x-1)^4 ogf] A034015 41.3697 [x/(x+1)/(2*x+1)^2 revogf] A034015 9.29172 [4*f(x)^3*x^3+8*f(x)^2*x^2+5*f(x)*x-f(x)+1 ogf] A034077 11.7276 [(127*x^6-64*x^5-32*x^4-16*x^3-8*x^2+17*x-26)/(x-1) ogf] A034077 9.86346 [(9+16*x-1018*x^5+224*x^4+96*x^3+40*x^2+635*x^6)/(x-1)/(127*x^6-64*x^5-32*x^4-16*x^3-8*x^2+17*x-26) lgdogf] A034106 12.3927 [-(17*x^2-41*x+26)/(x-1)^3 ogf] A034106 19.4433 [-(37-48*x+17*x^2)/(x-1)/(17*x^2-41*x+26) lgdogf] A034106 6.5548 [(1436*f(x)+28119)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)-41*x+26) ogf] A034106 6.89679 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=26,a(1)=37,a(2)=50} ogf] A034107 6.52821 [-(17+20*x+8*x^5+36*x^4+30*x^3+23*x^2+5*x^10-6*x^9+2*x^7+15*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^6-8*x^5+2*x^4+x^3+3*x^2-3*x+10) lgdogf] A034107 7.50060 [-(5*x^6-8*x^5+2*x^4+x^3+3*x^2-3*x+10)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034108 6.24501 [-(18+20*x+5*x^10-6*x^9+2*x^7+15*x^6+2*x^5+41*x^4+30*x^3+23*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(6*x^7-7*x^6-2*x^5+2*x^4+x^3-3*x^2+8*x+5) lgdogf] A034108 7.01858 [-(6*x^7-7*x^6-2*x^5+2*x^4+x^3-3*x^2+8*x+5)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034109 6.22691 [-(19+20*x+10*x^5+33*x^4+34*x^3+23*x^2+6*x^10-8*x^9+x^8+2*x^7+10*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(6*x^6-10*x^5+3*x^4+x^3+2*x^2-3*x+11) lgdogf] A034109 7.43303 [-(6*x^6-10*x^5+3*x^4+x^3+2*x^2-3*x+11)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034110 6.74823 [-(6+12*x+x^10+6*x^8+12*x^7+18*x^6+28*x^5+25*x^4+24*x^3+18*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^6-x^5+2*x^4+2*x^3+2*x^2+2*x+2) lgdogf] A034110 7.57281 [-(x^6-x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034111 12.6419 [-(13*x^2-32*x+21)/(x-1)^3 ogf] A034111 19.8399 [-(31-38*x+13*x^2)/(x-1)/(13*x^2-32*x+21) lgdogf] A034111 6.91522 [(11*f(x)+138)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)-32*x+21) ogf] A034111 7.03549 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=31,a(2)=43} ogf] A034112 6.23299 [-(13+18*x+3*x^10-4*x^9+2*x^8+4*x^7+17*x^6+14*x^5+34*x^4+28*x^3+21*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^6-5*x^5+2*x^4+x^3+3*x^2-x+7) lgdogf] A034112 7.46229 [-(3*x^6-5*x^5+2*x^4+x^3+3*x^2-x+7)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034113 6.21484 [-(14+18*x+4*x^7+2*x^8-4*x^9+8*x^5+17*x^6+28*x^3+39*x^4+21*x^2+3*x^10)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^7-7*x^6+2*x^4+x^3-2*x^2+8*x+3) lgdogf] A034113 7.49800 [-(5*x^7-7*x^6+2*x^4+x^3-2*x^2+8*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034114 6.26340 [-(15+18*x+4*x^7+3*x^8-6*x^9+16*x^5+12*x^6+32*x^3+31*x^4+21*x^2+4*x^10)/(x-1)/(x^4+x^3+x^2+x+1)/(4*x^6-7*x^5+3*x^4+x^3+2*x^2-x+8) lgdogf] A034114 7.49800 [-(4*x^6-7*x^5+3*x^4+x^3+2*x^2-x+8)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034115 5.92106 [-(48+30*x-38*x^5+36*x^2+42*x^3+43*x^4-12*x^8-6*x^7+25*x^10-18*x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(25*x^6-34*x^5+2*x^4+2*x^3+2*x^2-22*x+35) lgdogf] A034115 7.05293 [-(25*x^6-34*x^5+2*x^4+2*x^3+2*x^2-22*x+35)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A034126 15.3412 [-2*(-14+5*x+x^3-4*x^2)/(x-1)/(2*x^3-7*x^2+8*x-9) lgdogf] A034126 3.97370 [{(55*n^2+377*n+534)*a(n+1)+(-74*n^2-337*n-294)*a(n+2)+(19*n^2+68*n+33)*a(n+3),a(0)=9,a(1)=28,a(2)=65} ogf] A034126 5.25196 [(1056*f(x)+7961)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-7*x^2+f(x)+8*x-9) ogf] A034126 9.75364 [-(2*x^3-7*x^2+8*x-9)/(x-1)^4 ogf] A034131 6.32512 [-(x^6-3*x^5-7*x^3-7*x^2-4*x-4)/(x^2+1)/(x+1)/(x-1)^4 ogf] A034131 6.47665 [-(-16-38*x+x^9-3*x^8-6*x^7-34*x^6-59*x^5-81*x^4-82*x^3-66*x^2)/(x-1)/(1+x)/(x^2+1)/(x^6-3*x^5-7*x^3-7*x^2-4*x-4) lgdogf] A034137 6.97421 [-x^13-x^11-x^9-x^7+x^6+x^4+x^2+1 ogf_with_Euler_transform] A034138 7.44488 [x^8/(x-1)-x^17/(x^2-1)-1/(x^2-1) ogf_with_Euler_transform] A034139 8.18214 [-1/(x^2-1)+1/(x-1)*x^9-x^19/(x^2-1) ogf_with_Euler_transform] A034140 8.78344 [-1/(x^2-1)+1/(x-1)*x^10-x^21/(x^2-1) ogf_with_Euler_transform] A034164 12.5039 [-1/2*(-1-3*x+(-(1+3*x)*(x-1))^(1/2))/(1+3*x)^2 revogf] A034164 5.59203 [{(-9*n-24)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=5} ogf] A034164 6.10416 [-27*x^4*f(x)^3-27*f(x)^2*x^3+9*f(x)^2*x^2-9*f(x)*x^2+6*f(x)*x-f(x)-x+1 ogf] A034171 23.8460 [x*(1+3*x^2+3*x)/(1+3*x)^3 revogf] A034171 5.79174 [{(-9*n-21)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=6} ogf] A034171 6.55839 [-27*f(x)^3*x^3+3*f(x)^3*x^2-27*f(x)^2*x^2+3*f(x)^2*x-9*f(x)*x+f(x)-1 ogf] A034176 34.0104 [-7+(1-4*x)*f(x) lgdegf] A034176 5.85671 [{(-4*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A034176 9.44734 [1/4*(-1+(1+3*x)^(1/3)+3*(1+3*x)^(1/3)*x)/(1+3*x)^(4/3) revegf] A034177 15.4124 [1/(4*x-1)^2 egf] A034177 5.88787 [{(-4*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A034177 56.9921 [x/(1+4*x) revegf] A034177 8.46217 [(5*f(x)+11)*(16*f(x)*x^2-8*f(x)*x+f(x)-1) egf] A034182 12.7127 [(x+1)^2/(x-1)/(x^2+2*x-1) ogf] A034182 17.7179 [-(-5+5*x+3*x^2+x^3)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A034182 6.86260 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A034182 6.92387 [(79*f(x)-4)*(f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)-2*x-1) ogf] A034184 3.30438 [-(x^8-x^7-2*x^6-9*x^5+14*x^4-11*x^3-6*x^2+5*x+1)/(x-1)/(x^2+2*x-1)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) ogf] A034188 10.0582 [(1+6*x+7*x^6+15*x^4+24*x^3+8*x^7+18*x^5+9*x^2)/(3*x^2+1+x+x^8+6*x^4+3*x^3+3*x^6+3*x^5+x^7) lgdogf] A034198 11.2091 [-(-3-9*x-12*x^2-10*x^3+6*x^5+4*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^3-x-1) lgdogf] A034198 9.41514 [-x*(x^3-x-1)/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A034214 7.55048 [(1+4*x+14*x^6+24*x^5+8*x^7+25*x^4+20*x^3+9*x^8+12*x^2)/(x+1)/(x^8+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+1) lgdogf] A034255 15.4539 [x*(2*x+1)*(8*x^2+4*x+1)/(1+4*x)^4 revogf] A034255 4.87207 [{(-16*n-36)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=10} ogf] A034256 5.51256 [{(-16*n+4)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=4} ogf] A034262 23.6910 [-(5+5*x+2*x^2)/(x-1)/(x^2+x+1) lgdogf] A034262 28.6642 [[-x^2+5] ogf_with_Euler_transform] A034262 4.37407 [{(-3-n)*a(n+4)+5*a(n+3)+5*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=2,a(2)=10,a(3)=30} ogf] A034262 5.19224 [-(75*f(x)+82)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-2*x^2+f(x)-2*x) ogf] A034262 9.88659 [2*x*(x^2+x+1)/(x-1)^4 ogf] A034263 32.4010 [-3*(3+5*x)/(3*x+1)/(x-1) lgdogf] A034263 5.21025 [{(n+3)*a(n+3)+(-5+2*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=1,a(1)=9,a(2)=39} ogf] A034263 9.89948 [(3*x+1)/(x-1)^6 ogf] A034264 28.4479 [-(11+24*x)/(4*x+1)/(x-1) lgdogf] A034264 4.59038 [{(-2-n)*a(n+3)+(8-3*n)*a(n+2)+(24+4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=11} ogf] A034264 7.45320 [-x*(4*x+1)/(x-1)^7 ogf] A034265 28.6268 [-(13+35*x)/(5*x+1)/(x-1) lgdogf] A034265 4.57939 [{(n+3)*a(n+3)+(-5+4*n)*a(n+2)+(-40-5*n)*a(n+1),a(0)=1,a(1)=13,a(2)=76} ogf] A034265 7.14946 [(5*x+1)/(x-1)^8 ogf] A034266 26.8037 [-3*(5+16*x)/(6*x+1)/(x-1) lgdogf] A034266 5.28982 [{(-2-n)*a(n+3)+(10-5*n)*a(n+2)+(48+6*n)*a(n+1),a(0)=0,a(1)=1,a(2)=15} ogf] A034266 7.11550 [-x*(6*x+1)/(x-1)^9 ogf] A034275 4.12305 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2+64*f(x)*x^3+f(x)^2*x-48*f(x)*x^2-36*x^3+12*f(x)*x+32*x^2-f(x)-10*x+1 ogf] A034299 11.5450 [1/(x-1)/(2*x-1)/(x+1)^2 ogf] A034299 15.7782 [-(-1-5*x+8*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A034299 4.67525 [(313*f(x)+256)*(2*f(x)*x^4+f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-1) ogf] A034300 35.6740 [-8+(1-5*x)*f(x) lgdegf] A034300 6.13708 [{(-5*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A034300 9.90944 [1/5*(-1+(1+3*x)^(2/3)+3*(1+3*x)^(2/3)*x)/(1+3*x)^(5/3) revegf] A034301 35.8588 [-9+(1-5*x)*f(x) lgdegf] A034301 6.16824 [{(-5*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A034301 9.96079 [1/5*(-1+(1+4*x)^(1/4)+4*(1+4*x)^(1/4)*x)/(1+4*x)^(5/4) revegf] A034323 35.3043 [-7+(1-5*x)*f(x) lgdegf] A034323 6.07478 [{(-5*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A034323 7.15628 [1/5*(-1+(1+2*x)^(1/2)+4*(1+2*x)^(1/2)*x+4*(1+2*x)^(1/2)*x^2)/(1+2*x)^(5/2) revegf] A034324 15.9604 [-2*(1-2*x+10*x^2+3*x^3)/(x-1)/(6*x^3+x^2-2*x+1) lgdogf] A034324 3.96370 [{(157*n^2+857*n+1086)*a(n+1)+(-296*n^2-1216*n-684)*a(n+2)+(139*n^2+413*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A034324 5.46426 [(66*f(x)+109)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A034324 9.93500 [(6*x^3+x^2-2*x+1)/(x-1)^4 ogf] A034325 16.0018 [1/(5*x-1)^2 egf] A034325 45.7477 [-10/(-1+5*x) lgdegf] A034325 6.22292 [{(-5*n-15)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A034325 6.66742 [(5*f(x)+11)*(25*f(x)*x^2-10*f(x)*x+f(x)-1) egf] A034325 60.9970 [x/(1+5*x) revegf] A034326 6.33216 [-(12*x^11+11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A034379 15.4753 [x^7+x^4+x^2+x+2 ogf_with_Euler_transform] A034379 4.40506 [1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^6 ogf] A034385 29.9258 [-4+(1-16*x)*f(x) lgdogf] A034385 4.62401 [{(-n-2)*a(n+2)+(20+16*n)*a(n+1),a(0)=1,a(1)=4} ogf] A034405 5.69989 [{(2*n^2+9*n+10)*a(n+1)+(-3*n-8)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=7} egf] A034429 5.39682 [(5540*n+16620)*a(n+3)+(58806+41591*n)*a(n+2)-60234*a(n+1),a(0)=5,a(1)=22,a(2)=-7 lgdogf] A034430 27.2112 [-(-2+3*x)/(2*x-1)/(-1+x) lgdegf] A034430 4.65071 [{(2*n^2+9*n+10)*a(n+1)+(-3*n-8)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A034430 8.21053 [-2*f(x)^2*x^3+5*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 egf] A034432 5.11865 [(28812*n+86436)*a(n+3)+(214307+177983*n)*a(n+2)-394683*a(n+1),a(0)=4,a(1)=59/3,a(2)=15 lgdogf] A034433 8.51951 [-(-16*x^7-8*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x-8)/(x^8-1) ogf_with_Euler_transform] A034433 99.9999 Evaluated at exp(-Pi) 1/4194304*exp(3*Pi)*2^(1/2)*GAMMA(5/8)^16*(99+70*2^(1/2))/Pi^4/GAMMA(7/8)^16 A034436 6.98339 [-(-24*x^8-12*x^7-12*x^6-12*x^5-12*x^4-12*x^3-12*x^2-12*x-12)/(x^9-1) ogf_with_Euler_transform] A034472 14.3356 [-2*(2*x-1)/(3*x-1)/(x-1) ogf] A034472 16.2070 [-2*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(-1+2*x) lgdogf] A034472 7.16781 [-(13*f(x)+6)*(3*f(x)*x^2-4*f(x)*x+f(x)+4*x-2) ogf] A034472 7.86712 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=2,a(1)=4} ogf] A034474 13.5319 [-2*(3*x-1)/(x-1)/(5*x-1) ogf] A034474 15.6992 [-(3-10*x+15*x^2)/(x-1)/(3*x-1)/(5*x-1) lgdogf] A034474 6.6916 [-(62*f(x)-43)*(5*f(x)*x^2-6*f(x)*x+f(x)+6*x-2) ogf] A034474 7.42604 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=2,a(1)=6} ogf] A034478 13.1198 [-(3*x-1)/(x-1)/(5*x-1) ogf] A034478 15.2112 [-(3-10*x+15*x^2)/(x-1)/(3*x-1)/(5*x-1) lgdogf] A034478 6.63359 [-(8*f(x)+1)*(5*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A034478 7.19987 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=1,a(1)=3} ogf] A034488 4.49232 [(3875*f(x)+9428)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+72*x^3-12*f(x)*x-94*x^2+f(x)+36*x-4) ogf] A034488 8.02199 [-2*(36*x^3-47*x^2+18*x-2)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A034491 12.9149 [-2*(4*x-1)/(x-1)/(7*x-1) ogf] A034491 14.5946 [-2*(2-7*x+14*x^2)/(x-1)/(7*x-1)/(4*x-1) lgdogf] A034491 6.24916 [-(513*f(x)-514)*(7*f(x)*x^2-8*f(x)*x+f(x)+8*x-2) ogf] A034491 7.08746 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=2,a(1)=8} ogf] A034494 12.5155 [-(4*x-1)/(x-1)/(7*x-1) ogf] A034494 13.4443 [-2*(2-7*x+14*x^2)/(x-1)/(-1+7*x)/(-1+4*x) lgdogf] A034494 6.32806 [-(9*f(x)-1)*(7*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A034494 6.86826 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=1,a(1)=4} ogf] A034496 3.59876 [(441*f(x)-13889)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2+120*x^3-15*f(x)*x-140*x^2+f(x)+45*x-4) ogf] A034496 6.32885 [-(120*x^3-140*x^2+45*x-4)/(8*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A034513 4.78471 [(124*f(x)+473)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+39*x^2-f(x)-26*x+3) ogf] A034513 4.90740 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=3,a(1)=13,a(2)=91} ogf] A034513 7.39984 [-(13-156*x+750*x^2-1404*x^3+1053*x^4)/(x-1)/(-1+3*x)/(9*x-1)/(39*x^2-26*x+3) lgdogf] A034513 8.69948 [-(39*x^2-26*x+3)/(x-1)/(3*x-1)/(9*x-1) ogf] A034517 4.41776 [(74196*f(x)+3991387)*(100*f(x)*x^4-180*f(x)*x^3+97*f(x)*x^2+180*x^3-18*f(x)*x-194*x^2+f(x)+54*x-4) ogf] A034517 7.93188 [-2*(90*x^3-97*x^2+27*x-2)/(x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A034524 11.5615 [-2*(6*x-1)/(11*x-1)/(x-1) ogf] A034524 13.2534 [-2*(3-11*x+33*x^2)/(x-1)/(6*x-1)/(11*x-1) lgdogf] A034524 5.66277 [-(3325*f(x)-4058)*(11*f(x)*x^2-12*f(x)*x+f(x)+12*x-2) ogf] A034524 6.52884 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=2,a(1)=12} ogf] A034583 13.0579 [-(8*x^7+8*x^6+8*x^5+8*x^4+4*x^3+4*x^2+2*x+1)/(2*x^2-1)/(2*x^2+1)/(2*x^2+2*x+1)/(2*x^2-2*x+1) ogf] A034584 10.0269 [x*(x^7+x^3+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A034610 16.5104 [-(f(x)-1)^3 ogf] A034611 16.5104 [-(f(x)-1)^3 ogf] A034612 16.6851 [-(f(x)-1)^3 ogf] A034613 16.7724 [-(f(x)-1)^3 ogf] A034614 18.9609 [-(f(x)-1)^3 ogf] A034615 18.9609 [-(f(x)-1)^3 ogf] A034616 19.1398 [-(f(x)-1)^3 ogf] A034617 19.0504 [-(f(x)-1)^3 ogf] A034618 18.3349 [-(f(x)-1)^3 ogf] A034622 4.11094 [-(f(x)-1)^3 ogf] A034628 2.15934 [(f(x)-1)*(-646380*x^4+f(x)-1) ogf] A034634 4.31307 [(f(x)-1)^2 ogf] A034635 8.13293 [(f(x)-1)^2*(-10171980*x^5+f(x)-1) ogf] A034636 5.8435 [(f(x)-1)^2*(3863701296*x^5+49640*f(x)*x-543*f(x)-49640*x+543) ogf] A034637 5.87302 [(f(x)-1)^2*(3439564884*x^5+80180*f(x)*x-711*f(x)-80180*x+711) ogf] A034638 8.41175 [(f(x)-1)^2*(-3193344*x^5+f(x)-1) ogf] A034639 8.41175 [(f(x)-1)^2*(-2045196*x^5+f(x)-1) ogf] A034640 18.096 [-(f(x)-1)^3 ogf] A034641 18.2788 [-(f(x)-1)^3 ogf] A034642 18.1874 [-(f(x)-1)^3 ogf] A034643 15.7411 [-(f(x)-1)^3 ogf] A034644 15.6517 [-(f(x)-1)^3 ogf] A034645 15.8306 [-(f(x)-1)^3 ogf] A034646 17.7304 [-(f(x)-1)^3 ogf] A034647 17.7304 [-(f(x)-1)^3 ogf] A034648 17.8218 [-(f(x)-1)^3 ogf] A034649 17.8218 [-(f(x)-1)^3 ogf] A034650 17.9132 [-(f(x)-1)^3 ogf] A034651 17.9132 [-(f(x)-1)^3 ogf] A034652 7.12132 [(f(x)-1)*(-119421161244*x^8+f(x)^2-f(x)) ogf] A034653 7.18006 [(f(x)-1)*(-79328599020*x^8+f(x)^2-f(x)) ogf] A034654 7.18006 [(f(x)-1)*(-51816632472*x^8+f(x)^2-f(x)) ogf] A034655 7.18006 [(f(x)-1)*(-33269343840*x^8+f(x)^2-f(x)) ogf] A034656 7.18006 [(f(x)-1)*(-20990607300*x^8+f(x)^2-f(x)) ogf] A034657 7.18006 [(f(x)-1)*(-13010909796*x^8+f(x)^2-f(x)) ogf] A034658 21.6243 [(f(x)-1)^2 ogf] A034659 11.3770 [-(6*x-1)/(11*x-1)/(x-1) ogf] A034659 12.7599 [-2*(3-11*x+33*x^2)/(x-1)/(6*x-1)/(11*x-1) lgdogf] A034659 5.81216 [-(25*f(x)-7)*(11*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A034659 6.36569 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=1,a(1)=6} ogf] A034660 3.63390 [-2*(2016*x^5-3444*x^4+2100*x^3-574*x^2+70*x-3)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1)/(12*x-1)/(4*x-1) ogf] A034661 3.51982 [-(12636*x^5-19188*x^4+9855*x^3-2132*x^2+195*x-6)/(x-1)/(6*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(18*x-1) ogf] A034662 4.08141 [-6*(2800*x^5-4060*x^4+1974*x^3-406*x^2+35*x-1)/(x-1)/(4*x-1)/(20*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A034663 3.12762 [-(943875*f(x)+6704338)*(441*f(x)*x^4-672*f(x)*x^3+262*f(x)*x^2+672*x^3-32*f(x)*x-524*x^2+f(x)+96*x-4) ogf] A034663 5.76325 [-4*(168*x^3-131*x^2+24*x-1)/(x-1)/(3*x-1)/(7*x-1)/(21*x-1) ogf] A034665 3.46853 [-3*(21504*x^5-27776*x^4+11160*x^3-1736*x^2+105*x-2)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A034687 11.7351 [x*(50*x^2+125*x^3+1+125*x^4+10*x)/(5*x+1)^5 revogf] A034687 4.81964 [{(-25*n-55)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=15} ogf] A034688 34.1756 [-5+(1-25*x)*f(x) lgdogf] A034688 5.26549 [{(-n-2)*a(n+2)+(30+25*n)*a(n+1),a(0)=1,a(1)=5} ogf] A034689 16.1549 [1/3*x*(3+6*x+4*x^2)/(1+2*x)^3 revegf] A034689 31.2328 [-8+(1-6*x)*f(x) lgdegf] A034689 5.38567 [{(-6*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A034691 28.0931 [1/(-2*x+1) ogf_with_Euler_transform] A034720 10.2386 [(7*x^2+12*x+1)/(x-1)^4 ogf] A034720 18.4834 [-2*(8+25*x+7*x^2)/(x-1)/(7*x^2+12*x+1) lgdogf] A034720 4.94278 [(20321000*f(x)+180654163)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-12*x-1) ogf] A034721 14.0189 [-2*(1+12*x+3*x^3+24*x^2)/(x-1)/(6*x^3+15*x^2-2*x+1) lgdogf] A034721 4.8305 [(6101000*f(x)+30918773)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-15*x^2+f(x)+2*x-1) ogf] A034721 9.35136 [(6*x^3+15*x^2-2*x+1)/(x-1)^4 ogf] A034723 20.4870 [1/2*x*(2+3*x)/(1+3*x)^2 revegf] A034723 47.1201 [-9/(6*x-1) lgdegf] A034723 5.41610 [{(-6*n-15)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A034723 7.64309 [216*f(x)^2*x^3-108*f(x)^2*x^2+18*f(x)^2*x-f(x)^2+1 egf] A034724 29.9578 [-10+(1-6*x)*f(x) lgdegf] A034724 5.44619 [{(-6*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A034724 8.87639 [1/6*(-1+(1+4*x)^(1/2)+4*(1+4*x)^(1/2)*x)/(1+4*x)^(3/2) revegf] A034787 30.2963 [-11+(1-6*x)*f(x) lgdegf] A034787 5.50637 [{(-6*n-17)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A034787 8.97668 [1/6*(-1+(1+5*x)^(1/5)+5*(1+5*x)^(1/5)*x)/(1+5*x)^(6/5) revegf] A034788 14.4687 [1/(6*x-1)^2 egf] A034788 45.0521 [-12/(6*x-1) lgdegf] A034788 5.62672 [{(-6*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A034788 55.0637 [x/(6*x+1) revegf] A034788 8.16235 [(5*f(x)+11)*(36*f(x)*x^2-12*f(x)*x+f(x)-1) egf] A034789 11.3167 [x*(3*x+1)*(12*x^2+6*x+1)*(36*x^2+6*x+1)/(6*x+1)^6 revogf] A034789 5.28606 [{(-36*n-78)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=21} ogf] A034793 7.45945 [(2-2*x+49*x^6+10*x^5+16*x^3-29*x^4+20*x^8-60*x^7)/(x-1)/(x+1)/(4*x^7-11*x^6+11*x^5-6*x^4+2*x^3-2*x^2+2*x-1) lgdogf] A034793 9.57516 [(x+1)*(4*x^7-11*x^6+11*x^5-6*x^4+2*x^3-2*x^2+2*x-1)/(x-1)^3 ogf] A034803 8.30916 [(x^8-2*x^7+3*x^6-x^5+2*x^3-1)/(x^9+x^6+3*x^3-1) ogf] A034804 8.20994 [-x*(x^2+1)*(x^4-2*x^3+x^2+1)/(x^9+x^6+3*x^3-1) ogf] A034827 12.0249 [-2*x^4/(x-1)^5 ogf] A034827 5.57035 [{(-2+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A034827 6.36612 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+2*x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A034827 84.1743 [-5/(-1+x) lgdogf] A034828 19.3686 [-(3+10*x+4*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A034828 33.4472 [-x^2+2*x+3 ogf_with_Euler_transform] A034828 9.03906 [x^2*(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A034829 32.4966 [-9+(1-7*x)*f(x) lgdegf] A034829 5.13104 [1/7*(-1+(1+2*x)^(1/2)+6*(1+2*x)^(1/2)*x+12*(1+2*x)^(1/2)*x^2+8*(1+2*x)^(1/2)*x^3)/(1+2*x)^(7/2) revegf] A034829 7.64011 [{(-7*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A034830 30.9733 [-10+(1-7*x)*f(x) lgdegf] A034830 6.69693 [1/7*(-1+(1+3*x)^(1/3)+6*(1+3*x)^(1/3)*x+9*(1+3*x)^(1/3)*x^2)/(1+3*x)^(7/3) revegf] A034830 7.64967 [{(-7*n-17)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A034831 30.9733 [-11+(1-7*x)*f(x) lgdegf] A034831 7.64967 [{(-7*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A034831 9.17728 [1/7*(-1+(1+4*x)^(3/4)+4*(1+4*x)^(3/4)*x)/(1+4*x)^(7/4) revegf] A034832 31.1426 [-12+(1-7*x)*f(x) lgdegf] A034832 7.68114 [{(-7*n-19)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A034832 9.22743 [1/7*(-1+(1+5*x)^(2/5)+5*(1+5*x)^(2/5)*x)/(1+5*x)^(7/5) revegf] A034833 31.3118 [-13+(1-7*x)*f(x) lgdegf] A034833 5.68690 [{(-7*n-20)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A034833 9.27758 [1/7*(-1+6*(6*x+1)^(1/6)*x+(6*x+1)^(1/6))/(6*x+1)^(7/6) revegf] A034834 20.0753 [1/(7*x-1)^2 egf] A034834 42.2004 [-14/(-1+7*x) lgdegf] A034834 56.2673 [x/(1+7*x) revegf] A034834 7.80707 [{(-7*n-21)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A034834 8.36472 [(5*f(x)+11)*(49*f(x)*x^2-14*f(x)*x+f(x)-1) egf] A034835 35.1772 [-7+(1-49*x)*f(x) lgdogf] A034835 5.41440 [{(-n-2)*a(n+2)+(56+49*n)*a(n+1),a(0)=1,a(1)=7} ogf] A034840 5.81214 [-3*(16*x^10-4*x^9-4*x^8-4*x^7-4*x^6-17*x^5-4*x^4-4*x^3-4*x^2-4*x-37)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A034856 13.6682 [(x^2-x-1)/(x-1)^3 ogf] A034856 29.2100 [-(x-2)*(x+2)/(x-1)/(x^2-x-1) lgdogf] A034856 7.44429 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A034856 7.4443 [(5*f(x)-29)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x+1) ogf] A034857 11.0144 [(4*x^3-12*x^2+10*x-1)/(x-1)^4 ogf] A034857 12.2951 [-2*(3+3*x+2*x^3-6*x^2)/(x-1)/(4*x^3-12*x^2+10*x-1) lgdogf] A034857 4.78096 [{(3*n^2-3*n-18)*a(n+1)+(-13*n^2-65*n-96)*a(n+2)+(10*n^2+47*n+51)*a(n+3),a(0)=-1,a(1)=6,a(2)=18} ogf] A034857 6.17116 [(37*f(x)+91)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+12*x^2+f(x)-10*x+1) ogf] A034858 5.96679 [(7*x^4-25*x^3+27*x^2-3*x-7)/(x-1)^5 ogf] A034858 8.82681 [-(-38+42*x+7*x^4-22*x^3+6*x^2)/(x-1)/(7*x^4-25*x^3+27*x^2-3*x-7) lgdogf] A034859 5.77094 [(3*x^6-7*x^5+7*x^3+2*x^2-5*x-1)/(x-1)^5 ogf] A034859 7.63711 [(x^2-x-1)*(3*x^4-15*x^3+23*x^2-6*x-10)/(x-1)/(3*x^6-7*x^5+7*x^3+2*x^2-5*x-1) lgdogf] A034860 10.2770 [-3*(7*x+1)/(x-1)^5 egf] A034860 20.7769 [-4*(3+7*x)/(7*x+1)/(x-1) lgdegf] A034860 4.27714 [{(7*n^2+49*n+70)*a(n+1)+(2*n^2+13*n+42)*a(n+2)+(-2*n-6)*a(n+3),a(0)=3,a(1)=36,a(2)=300} ogf] A034861 12.6153 [-5*(5+44*x+14*x^2)/(x-1)/(14*x^2+32*x-1) lgdegf] A034861 6.58203 [-8*(14*x^2+32*x-1)/(x-1)^7 egf] A034862 3.83078 [{(898*n^3+8688*n^2+20990*n)*a(n)+(309*n^3+2677*n^2+9864*n+16296)*a(n+1)+(-309*n^2-1103*n-970)*a(n+2),a(0)=4,a(1)=200} ogf] A034862 5.03914 [4*(3*x^7-21*x^6+63*x^5-105*x^4+105*x^3-91*x^2-43*x-1)/(x-1)^7 egf] A034863 5.05256 [(71*x^3+577*x^2+253*x-61)/(x-1)^8 egf] A034863 7.45824 [-5*(-47+585*x+71*x^3+735*x^2)/(x-1)/(71*x^3+577*x^2+253*x-61) lgdegf] A034865 57.1847 [-6/(x-1) lgdegf] A034865 6.12339 [{(-n^2-8*n-12)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=60} ogf] A034865 9.47867 [60*x/(x-1)^6 egf] A034866 3.74854 [4*(x^6-6*x^5+15*x^4-20*x^3+15*x^2+9*x+1)/(x-1)^6 egf] A034866 8.16924 [-15*(1+5*x)/(x-1)/(x^6-6*x^5+15*x^4-20*x^3+15*x^2+9*x+1) lgdegf] A034887 12.2950 [(x^7+x^4+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A034896 7.94972 [-(4*x^8-4*x^7+6*x^6-4*x^5-2*x^4+2*x^3+8*x^2-6*x+4)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A034896 99.9999 Evaluated at exp(-Pi) 1/12*GAMMA(2/3)^2/GAMMA(3/4)^2*3^(1/2)*(1+3^(1/2))^2/GAMMA(11/12)^2 A034899 30.8445 [2/(-2*x+1) ogf_with_Euler_transform] A034904 4.86446 [{(-49*n-105)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=28} ogf] A034904 7.79590 [x*(245*x^2+1715*x^3+1+7203*x^4+16807*x^5+16807*x^6+21*x)/(7*x+1)^7 revogf] A034908 16.0736 [x*(x+1)*(1+2*x+2*x^2)/(1+2*x)^4 revegf] A034908 31.1426 [-10+(1-8*x)*f(x) lgdegf] A034908 7.74411 [{(-8*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A034909 26.7205 [-11+(1-8*x)*f(x) lgdegf] A034909 4.86760 [{(-8*n-19)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A034910 22.9182 [x*(1+2*x)/(1+4*x)^2 revegf] A034910 36.2871 [-12/(-1+8*x) lgdegf] A034910 4.95557 [{(-8*n-20)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A034910 7.18939 [-512*f(x)^2*x^3+192*f(x)^2*x^2-24*f(x)^2*x+f(x)^2-1 egf] A034911 27.2153 [-13+(1-8*x)*f(x) lgdegf] A034911 4.95557 [{(-8*n-21)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A034911 8.06379 [1/8*(-1+(1+5*x)^(3/5)+5*(1+5*x)^(3/5)*x)/(1+5*x)^(8/5) revegf] A034912 27.2153 [-14+(1-8*x)*f(x) lgdegf] A034912 4.95557 [{(-8*n-22)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A034912 8.06379 [1/8*(-1+6*(6*x+1)^(1/3)*x+(6*x+1)^(1/3))/(6*x+1)^(4/3) revegf] A034933 7.64972 [-(3*x^8-4*x^7+6*x^6-3*x^5-2*x^4+2*x^3+6*x^2-6*x+4)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A034933 99.9999 Evaluated at exp(-Pi) 1/8*Pi^(1/4)*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)^8*GAMMA(11/12)^2*GAMMA(7/12)^3*2^(1/2)*(1+3^(1/2)) A034942 6.36172 [-5*f(x)^2*x^4+f(x)^2*x^3-10*f(x)*x^3+17*f(x)*x^2-8*f(x)*x-x^2+f(x)+2*x-1 ogf] A034943 11.2455 [(2*x-1)/(x^3-2*x^2+3*x-1) ogf] A034943 12.6640 [-(x-1)*(4*x^2-3*x+1)/(2*x-1)/(x^3-2*x^2+3*x-1) lgdogf] A034943 5.32154 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A034943 5.78652 [(f(x)-1)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-2*x+1) ogf] A034948 5.85405 [-x^3*(9*x^18-x^17-x^16-x^14-x^12-x^10-x^8-x^6-x^4-x^2-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2/(x+1)^2 ogf] A034949 3.56590 [-(-3*x^15+2*x^14-3*x^13+2*x^12-x^11+2*x^10-3*x^9+2*x^8-2*x^7+2*x^6-3*x^5+2*x^4-x^3+2*x^2-3*x+2)/(x^16-1) ogf_with_Euler_transform] A034950 8.08854 [-(3*x^7-2*x^6+3*x^5-2*x^4+2*x^3-2*x^2+3*x-2)/(-x^8+1) ogf_with_Euler_transform] A034950 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/2*Pi)/Pi^(3/4)*2^(15/16)*GAMMA(5/8)^3/GAMMA(7/8)^3*(2+2^(1/2))^(3/2)/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2) A034951 10.4659 [-(-4*x^7+2*x^6-x^5+2*x^4-5*x^3+2*x^2-x+2)/(x^8-1) ogf_with_Euler_transform] A034951 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/2*Pi)/Pi*2^(3/16)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))/(2-2^(1/2))^(1/4) A034952 12.9874 [-(-6*x^3-2*x^2-2*x-2)/(x^4-1) ogf_with_Euler_transform] A034967 10.6093 [-100*f(x)*x^2+20*f(x)*x-f(x)+45*x ogf] A034967 12.8531 [45*x/(10*x-1)^2 ogf] A034967 20.7391 [4/5*x/(3+(9+8*x)^(1/2))^2 revogf] A034967 39.8829 [-20/(-1+10*x) lgdogf] A034967 6.19973 [{a(n+2)-20*a(n+1)+100*a(n),a(0)=0,a(1)=45} ogf] A034975 27.5452 [-15+(1-8*x)*f(x) lgdegf] A034975 5.01421 [{(-8*n-23)*a(n+1)+a(n+2),a(0)=1,a(1)=15} ogf] A034975 8.16154 [1/8*(-1+(1+7*x)^(1/7)+7*(1+7*x)^(1/7)*x)/(1+7*x)^(8/7) revegf] A034976 12.8937 [1/(8*x-1)^2 egf] A034976 36.7269 [-16/(-1+8*x) lgdegf] A034976 48.9692 [x/(1+8*x) revegf] A034976 5.01421 [{(-8*n-24)*a(n+1)+a(n+2),a(0)=1,a(1)=16} ogf] A034976 7.42658 [(5*f(x)+11)*(64*f(x)*x^2-16*f(x)*x+f(x)-1) egf] A034977 11.1854 [64+(-16+1024*x)*f(x)+(4096*x^2+1-128*x)*f(x)^2 lgdogf] A034977 4.95625 [{(-n-2)*a(n+2)+(72+64*n)*a(n+1),a(0)=1,a(1)=8} ogf] A034996 4.37400 [{(-64*n-136)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=36} ogf] A034996 6.69327 [x*(4*x+1)*(32*x^2+8*x+1)*(2048*x^4+1024*x^3+192*x^2+16*x+1)/(1+8*x)^8 revogf] A034998 21.8650 [-8/(x+1) ogf_with_Euler_transform] A034999 13.6651 [(3*x-1)*(x-1)/(7*x^2-6*x+1) ogf] A034999 15.1147 [-2*(2-7*x+7*x^2)/(-1+2*x)/(7*x^2-6*x+1) lgdogf] A034999 15.9317 [-(-1-3*x+(1+2*x+2*x^2)^(1/2))/(4+7*x) revogf] A034999 7.10047 [{a(n+3)-6*a(n+2)+7*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A034999 7.46646 [-(-2+9*f(x))*(7*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A035005 10.7506 [4*x*(2*x+3)/(x-1)^4 ogf] A035005 29.1161 [-2*(7+3*x)/(2*x+3)/(x-1) lgdogf] A035005 4.66801 [{(6+3*n)*a(n+3)+(-15-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=12,a(2)=56} ogf] A035005 5.25583 [(72625*f(x)+637226)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-12*x) ogf] A035006 11.1926 [4*x*(x+2)/(x-1)^4 ogf] A035006 35.8303 [-3*(x+3)/(x+2)/(x-1) lgdogf] A035006 4.81800 [{(4+2*n)*a(n+3)+(-10-n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=8,a(2)=36} ogf] A035006 5.51149 [(7263*f(x)+39878)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-8*x) ogf] A035007 3.13832 [4*x*(x+1)/(x-1)^4 ogf] A035007 9.30912 [-(3*x+5)/(-1+x)/(x+1) lgdogf] A035007 9.50600 [[5-x] ogf_with_Euler_transform] A035008 16.4945 [-16*x/(x-1)^3 ogf] A035008 6.71458 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=48} ogf] A035008 9.72752 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+16*x ogf] A035008 93.4417 [-3/(x-1) lgdogf] A035011 3.40736 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)*x^3-f(x)^2*x+5*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A035012 27.2153 [-11+(1-9*x)*f(x) lgdegf] A035012 4.95557 [{(-9*n-20)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A035013 17.4178 [x*(1+3*x+3*x^2)/(1+3*x)^3 revegf] A035013 27.2153 [-12+(1-9*x)*f(x) lgdegf] A035013 4.95557 [{(-9*n-21)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A035016 17.1495 [-(-8*x-16)/(x^2-1) ogf_with_Euler_transform] A035016 99.9999 Evaluated at exp(-Pi) 1/4*Pi^2/GAMMA(3/4)^8 A035017 27.3802 [-13+(1-9*x)*f(x) lgdegf] A035017 4.98489 [{(-9*n-22)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A035017 5.84112 [1/9*(-1+(1+4*x)^(1/4)+8*(1+4*x)^(1/4)*x+16*(1+4*x)^(1/4)*x^2)/(1+4*x)^(9/4) revegf] A035018 27.5452 [-14+(1-9*x)*f(x) lgdegf] A035018 5.01421 [{(-9*n-23)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A035018 8.16154 [1/9*(-1+(1+5*x)^(4/5)+5*(1+5*x)^(4/5)*x)/(1+5*x)^(9/5) revegf] A035020 27.8751 [-15+(1-9*x)*f(x) lgdegf] A035020 5.07286 [{(-9*n-24)*a(n+1)+a(n+2),a(0)=1,a(1)=15} ogf] A035020 8.25928 [1/9*(-1+6*(6*x+1)^(1/2)*x+(6*x+1)^(1/2))/(6*x+1)^(3/2) revegf] A035021 28.2050 [-16+(1-9*x)*f(x) lgdegf] A035021 5.13151 [{(-9*n-25)*a(n+1)+a(n+2),a(0)=1,a(1)=16} ogf] A035021 8.35702 [1/9*(-1+(1+7*x)^(2/7)+7*(1+7*x)^(2/7)*x)/(1+7*x)^(9/7) revegf] A035022 28.6998 [-17+(1-9*x)*f(x) lgdegf] A035022 5.21948 [{(-9*n-26)*a(n+1)+a(n+2),a(0)=1,a(1)=17} ogf] A035022 8.50364 [1/9*(-1+(1+8*x)^(1/8)+8*(1+8*x)^(1/8)*x)/(1+8*x)^(9/8) revegf] A035023 13.4215 [1/(9*x-1)^2 egf] A035023 41.7451 [-18/(9*x-1) lgdegf] A035023 5.21948 [{(-9*n-27)*a(n+1)+a(n+2),a(0)=1,a(1)=18} ogf] A035023 51.0218 [x/(1+9*x) revegf] A035023 7.72364 [(5*f(x)+11)*(81*f(x)*x^2-18*f(x)*x+f(x)-1) egf] A035024 28.5348 [-9+(1-81*x)*f(x) lgdogf] A035024 4.40674 [{(-n-2)*a(n+2)+(90+81*n)*a(n+1),a(0)=1,a(1)=9} ogf] A035028 3.66065 [{(n+2)*a(n+1)+(-7*n-20)*a(n+2)+(7*n+36)*a(n+3)+(-n-6)*a(n+4),a(0)=4,a(1)=20,a(2)=104,a(3)=552} ogf] A035028 5.67261 [-f(x)^2*x^4+6*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3+5*f(x)*x^2+5*f(x)*x-f(x)+4 ogf] A035029 6.41337 [4*f(x)^2*x^4-24*f(x)^2*x^3+4*f(x)^2*x^2+f(x)*x^3-5*f(x)*x^2-5*f(x)*x+f(x)-1 ogf] A035036 99.9999 Evaluated at exp(-Pi) 3/8*Pi^3/GAMMA(3/4)^12 A035038 10.1647 [-x^6/(2*x-1)/(x-1)^6 ogf] A035038 31.9981 [-2*(-4+7*x)/(2*x-1)/(x-1) lgdogf] A035038 4.12939 [{(-2*n-4)*a(n+1)+(3*n-4)*a(n+2)+(-n+3)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=1} ogf] A035039 25.7851 [-(-9+16*x)/(-1+2*x)/(x-1) lgdogf] A035039 7.20716 [x^7/(2*x-1)/(x-1)^7 ogf] A035040 16.9581 [a(n+2)-3*a(n+1)+2*a(n),a(0)=10,a(1)=12 lgdogf] A035040 6.57759 [-x^8/(2*x-1)/(x-1)^8 ogf] A035041 17.8081 [a(n+2)-3*a(n+1)+2*a(n),a(0)=11,a(1)=13 lgdogf] A035041 6.20262 [x^9/(2*x-1)/(x-1)^9 ogf] A035042 17.5436 [a(n+2)-3*a(n+1)+2*a(n),a(0)=12,a(1)=14 lgdogf] A035042 5.44470 [-x^10/(2*x-1)/(x-1)^10 ogf] A035045 3.39560 [{(-3*n^2-15*n-18)*a(n+1)+(-5*n^2-41*n-78)*a(n+2)+(-n^2-15*n-52)*a(n+3)+(n^2+11*n+28)*a(n+4),a(0)=1,a(1)=4,a(2)=12,a(3)=35} ogf] A035045 7.55281 [-3*f(x)^2*x^4+f(x)^2*x^3-3*f(x)*x^2-2*f(x)*x-x^2+f(x)-2*x-1 ogf] A035097 4.61835 [{(-81*n-171)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=45} ogf] A035097 5.81222 [(27*x^2+9*x+1)*(177147*x^6+118098*x^5+32805*x^4+5103*x^3+486*x^2+27*x+1)*x/(9*x+1)^9 revogf] A035099 99.9999 Evaluated at exp(-Pi) 72*exp(-Pi) A035101 4.29729 [-16*f(x)^2*x^4+32*f(x)^2*x^3-24*f(x)^2*x^2+8*f(x)^2*x+8*f(x)*x^2-f(x)^2-8*f(x)*x+2*f(x)-2*x egf] A035101 4.41666 [{(4*n^2+22*n+30)*a(n+1)+(-4*n-13)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A035104 11.9058 [(3*x^3-x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A035104 14.1311 [-(-4-10*x+3*x^4+4*x^3+x^2)/(-1+x)/(x+1)/(3*x^3-x^2-2*x-1) lgdogf] A035104 6.51987 [(1018*f(x)-69927)*(f(x)*x^4-2*f(x)*x^3-3*x^3+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A035106 11.4645 [(x^2-x+1)*(x^2-x-1)/(x+1)/(x-1)^3 ogf] A035106 16.0929 [-2*(-1-x-2*x^2+x^3)/(x-1)/(x+1)/(x^2-x+1)/(x^2-x-1) lgdogf] A035106 6.43778 [-(95*f(x)-324)*(f(x)*x^4-2*f(x)*x^3-x^4+2*x^3+2*f(x)*x-x^2-f(x)+1) ogf] A035107 13.8168 [-(9+7*x+4*x^4-6*x^3-6*x^2)/(x-1)/(x+1)/(2*x^3-4*x^2+3) lgdogf] A035107 9.39916 [(2*x^3-4*x^2+3)/(x+1)/(x-1)^4 ogf] A035118 24.8012 [72/(x-1) ogf_with_Euler_transform] A035119 3.07000 [{(-4*n^3-30*n^2-74*n-60)*a(n+1)+(4*n^2+19*n+18)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A035150 22.8836 [96/(x-1) ogf_with_Euler_transform] A035150 99.9999 Evaluated at exp(-Pi) 1/68719476736*exp(4*Pi)*Pi^24/GAMMA(3/4)^96 A035162 8.54338 [-(2*x^6-x^5+x^4-x^3+x^2-x+1)/(-x^7-1) ogf_with_Euler_transform] A035174 14.3454 [1/(2048*x^2+24*x+1) ogf] A035174 17.9634 [-8*(3+512*x)/(2048*x^2+1+24*x) lgdogf] A035174 5.83272 [-(55*f(x)-64)*(2048*f(x)*x^2+24*f(x)*x+f(x)-1) ogf] A035174 6.10090 [{-a(n+2)-24*a(n+1)-2048*a(n),a(0)=1,a(1)=-24} ogf] A035190 21.6673 [120/(x-1) ogf_with_Euler_transform] A035190 99.9999 Evaluated at exp(-Pi) 1/35184372088832*exp(5*Pi)*Pi^30/GAMMA(3/4)^120 A035265 25.9249 [-12+(1-10*x)*f(x) lgdegf] A035265 4.95911 [{(-10*n-22)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A035265 9.79384 [1/5*x*(5+16*x^4+20*x+40*x^2+40*x^3)/(1+2*x)^5 revegf] A035272 26.2354 [-13+(1-10*x)*f(x) lgdegf] A035272 5.01711 [{(-10*n-23)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A035273 27.0116 [-14+(1-10*x)*f(x) lgdegf] A035273 5.16212 [{(-10*n-24)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A035273 6.04206 [1/10*(-1+(1+4*x)^(1/2)+8*(1+4*x)^(1/2)*x+16*(1+4*x)^(1/2)*x^2)/(1+4*x)^(5/2) revegf] A035274 19.9651 [1/2*x*(2+5*x)/(1+5*x)^2 revegf] A035274 35.3228 [-15/(-1+10*x) lgdegf] A035274 5.16212 [{(-10*n-25)*a(n+1)+a(n+2),a(0)=1,a(1)=15} ogf] A035274 7.45731 [-1000*f(x)^2*x^3+300*f(x)^2*x^2-30*f(x)^2*x+f(x)^2-1 egf] A035275 27.0116 [-16+(1-10*x)*f(x) lgdegf] A035275 5.16212 [{(-10*n-26)*a(n+1)+a(n+2),a(0)=1,a(1)=16} ogf] A035275 8.34903 [1/10*(-1+6*(6*x+1)^(2/3)*x+(6*x+1)^(2/3))/(6*x+1)^(5/3) revegf] A035276 27.0116 [-17+(1-10*x)*f(x) lgdegf] A035276 5.16212 [{(-10*n-27)*a(n+1)+a(n+2),a(0)=1,a(1)=17} ogf] A035276 8.19994 [1/10*(-1+(1+7*x)^(3/7)+7*(1+7*x)^(3/7)*x)/(1+7*x)^(10/7) revegf] A035277 27.0116 [-18+(1-10*x)*f(x) lgdegf] A035277 5.16212 [{(-10*n-28)*a(n+1)+a(n+2),a(0)=1,a(1)=18} ogf] A035277 8.34903 [1/10*(-1+(1+8*x)^(1/4)+8*(1+8*x)^(1/4)*x)/(1+8*x)^(5/4) revegf] A035278 27.1668 [-19+(1-10*x)*f(x) lgdegf] A035278 5.19112 [{(-10*n-29)*a(n+1)+a(n+2),a(0)=1,a(1)=19} ogf] A035278 8.24706 [1/10*(-1+9*(9*x+1)^(1/9)*x+(9*x+1)^(1/9))/(9*x+1)^(10/9) revegf] A035279 13.1220 [1/(10*x-1)^2 egf] A035279 35.5258 [-20/(-1+10*x) lgdegf] A035279 46.1836 [x/(1+10*x) revegf] A035279 5.19112 [{(-10*n-30)*a(n+1)+a(n+2),a(0)=1,a(1)=20} ogf] A035279 7.73063 [(5*f(x)+11)*(100*f(x)*x^2-20*f(x)*x+f(x)-1) egf] A035286 22.3703 [-3*(-13+2*x+x^2)/(x-1)/(x^2+x-8) lgdogf] A035286 3.70720 [{(145*n^2+483*n+386)*a(n+1)+(-804*n^2-5230*n-9906)*a(n+2)+(659*n^2+2691*n+2032)*a(n+3),a(0)=0,a(1)=0,a(2)=32} ogf] A035286 8.21482 [4*x^2*(x^2+x-8)/(x-1)^5 ogf] A035287 22.0397 [-3*(3+6*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A035287 3.59724 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-21-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=4,a(2)=36,a(3)=144} ogf] A035287 8.52204 [-4*x*(x^2+4*x+1)/(x-1)^5 ogf] A035288 20.9507 [-(13+14*x+3*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A035288 3.61452 [{(6+2*n)*a(n+4)+(-11+n)*a(n+3)+(-16-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=8,a(2)=52,a(3)=184} ogf] A035288 8.60600 [-4*x*(x+2)*(x+1)/(x-1)^5 ogf] A035289 14.5812 [-2*(-7-6*x+4*x^3-6*x^2)/(x-1)/(4*x^3-8*x^2+x-3) lgdogf] A035289 3.76111 [{(14*n^2+96*n+136)*a(n+1)+(-27*n^2-119*n-36)*a(n+2)+(13*n^2+27*n+2)*a(n+3),a(0)=0,a(1)=12,a(2)=56} ogf] A035289 7.40218 [4*x*(4*x^3-8*x^2+x-3)/(x-1)^5 ogf] A035290 12.4052 [-(25+44*x+x^4-4*x^3-6*x^2)/(x-1)/(x+1)/(x^3-5*x^2+7*x+3) lgdogf] A035290 6.74756 [-2*x^2*(x+1)*(x^3-5*x^2+7*x+3)/(x-1)^5 ogf] A035291 33.4165 [-(11+4*x)/(x+2)/(x-1) lgdogf] A035291 4.72532 [{(2+2*n)*a(n+3)+(-11-n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=16} ogf] A035291 8.85998 [-8*x^2*(x+2)/(x-1)^5 ogf] A035302 10.5509 [x*(4*x-1)/(4*x^3-4*x^2+2*x-1) ogf] A035302 12.2708 [-2*(1+4*x-14*x^2+16*x^3)/(-1+4*x)/(4*x^3-4*x^2+2*x-1) lgdogf] A035302 5.32212 [-(49*f(x)+30)*(4*f(x)*x^3-4*f(x)*x^2+2*f(x)*x-4*x^2-f(x)+x) ogf] A035302 5.41802 [{-a(n+3)+2*a(n+2)-4*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=-2} ogf] A035308 22.5146 [-10+(1-100*x)*f(x) lgdogf] A035308 3.81213 [{(-n-2)*a(n+2)+(110+100*n)*a(n+1),a(0)=1,a(1)=10} ogf] A035319 3.59497 [{(-32*n^3-144*n^2-214*n-105)*a(n+1)+(2*n+5)*a(n+2),a(0)=1,a(1)=1} ogf] A035323 4.07097 [{(-100*n-210)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=55} ogf] A035328 10.0032 [3*x*(x^2+6*x+1)/(x-1)^4 ogf] A035328 22.1032 [-2*(5+10*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A035328 3.87560 [{(n+3)*a(n+4)+5*n*a(n+3)+(-25-5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=30,a(3)=105} ogf] A035328 5.17649 [-(400*f(x)+2907)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-18*x^2+f(x)-3*x) ogf] A035329 14.4228 [-2*(33-22*x+5*x^2)/(x-1)/(5*x^2-18*x+21) lgdogf] A035329 5.55742 [(8080*f(x)+127797)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-15*x^3-4*f(x)*x+54*x^2+f(x)-63*x) ogf] A035329 7.72647 [3*x*(5*x^2-18*x+21)/(x-1)^4 ogf] A035330 9.78962 [-75+400*x+(5-60*x+160*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A035332 7.01641 [(x^11+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A035333 7.84871 [(23-x+555*x^8+184*x^7+280*x^16-450*x^15+150*x^14-539*x^9)/(x-1)/(20*x^16-10*x^15-77*x^9-23*x^8+x-12) lgdogf] A035344 14.9995 [-1/(x-1)/(2*x^2-4*x+1) ogf] A035344 15.4983 [-(5-12*x+6*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A035344 4.91135 [{a(n+3)-5*a(n+2)+6*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A035344 5.441 [(161*f(x)-44)*(2*f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A035360 18.5269 [-(-x^2-1)/(-x^3+1) ogf_with_Euler_transform] A035361 18.4337 [-(x^2+x)/(x^3-1) ogf_with_Euler_transform] A035363 25.4047 [x/(-x^2+1) ogf_with_Euler_transform] A035363 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)/Pi^(1/4)*2^(1/2)*GAMMA(3/4) A035371 20.9122 [-(-x-1)/(-x^5+1) ogf_with_Euler_transform] A035377 23.6391 [x^2/(-x^3+1) ogf_with_Euler_transform] A035382 34.3669 [1/(-x^3+1) ogf_with_Euler_transform] A035384 14.3856 [-x/(x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A035385 16.3038 [-(-x^3-x)/(-x^6+1) ogf_with_Euler_transform] A035386 30.0128 [x/(-x^3+1) ogf_with_Euler_transform] A035430 19.6448 [-(-x^5-1)/(-x^7+1) ogf_with_Euler_transform] A035433 19.3160 [-(x^4+x)/(x^7-1) ogf_with_Euler_transform] A035435 17.8006 [-(-x^3-x^2)/(-x^7+1) ogf_with_Euler_transform] A035444 22.2884 [x^3/(-x^4+1) ogf_with_Euler_transform] A035444 99.9999 Evaluated at exp(-Pi) exp(-1/6*Pi)/Pi^(1/4)*2^(7/8)*GAMMA(3/4) A035451 34.3970 [1/(-x^4+1) ogf_with_Euler_transform] A035457 25.6140 [x/(-x^4+1) ogf_with_Euler_transform] A035457 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/12*Pi)*2^(5/8) A035460 18.1250 [-x^2/(x^6-x^4+x^2-1) ogf_with_Euler_transform] A035462 30.5202 [x^2/(-x^4+1) ogf_with_Euler_transform] A035471 11.1100 [-8*(x+1)*(x^2+6*x+1)/(x-1)/(x^4+4*x^3+22*x^2+4*x+1) lgdogf] A035471 3.7931 [-(35*f(x)+216)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-4*x^3-4*f(x)*x-22*x^2+f(x)-4*x-1) ogf] A035471 6.74819 [(x^4+4*x^3+22*x^2+4*x+1)/(x-1)^4 ogf] A035472 5.72397 [(x^2+6*x+1)*(x^4+14*x^2+1)/(x-1)^6 ogf] A035472 8.65773 [-12*(x+1)*(x^4+4*x^3+22*x^2+4*x+1)/(x-1)/(1+6*x+x^2)/(x^4+14*x^2+1) lgdogf] A035473 4.86154 [(x^8+8*x^7+28*x^6+56*x^5+326*x^4+56*x^3+28*x^2+8*x+1)/(x-1)^8 ogf] A035473 7.96226 [-16*(x+1)*(1+6*x+x^2)*(x^4+14*x^2+1)/(x-1)/(x^8+8*x^7+28*x^6+56*x^5+326*x^4+56*x^3+28*x^2+8*x+1) lgdogf] A035474 3.66895 [(x^2+6*x+1)*(x^8+4*x^7+20*x^6-4*x^5+214*x^4-4*x^3+20*x^2+4*x+1)/(x-1)^10 ogf] A035508 11.9258 [x*(x-2)/(x-1)/(x^2-3*x+1) ogf] A035508 13.9536 [-(-7+16*x+2*x^3-10*x^2)/(-2+x)/(x-1)/(1+x^2-3*x) lgdogf] A035508 6.12405 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A035508 6.23642 [(88*f(x)-63)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-x^2-f(x)+2*x) ogf] A035520 3.32278 [{(-4*n^3-30*n^2-74*n-60)*a(n+1)+(4*n^2+17*n+9)*a(n+2)-n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A035597 33.1861 [[6-2*x] ogf_with_Euler_transform] A035597 34.5571 [-2*(x+3)/(x-1)/(x+1) lgdogf] A035597 4.97911 [-(140*f(x)+251)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-4*x^2+f(x)-2*x) ogf] A035597 5.23922 [{(n+2)*a(n+3)-6*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=12} ogf] A035597 9.61719 [2*x*(x+1)^2/(x-1)^4 ogf] A035598 32.4676 [[8-3*x] ogf_with_Euler_transform] A035598 33.8531 [-2*(x+4)/(x-1)/(x+1) lgdogf] A035598 5.13164 [{(n+2)*a(n+3)-8*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=16} ogf] A035598 7.55648 [-2*x*(x+1)^3/(x-1)^5 ogf] A035599 30.4562 [[10-4*x] ogf_with_Euler_transform] A035599 33.3097 [-2*(x+5)/(x-1)/(x+1) lgdogf] A035599 5.01108 [{(n+2)*a(n+3)-10*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=20} ogf] A035599 6.20639 [2*x*(x+1)^4/(x-1)^6 ogf] A035600 35.1204 [[12-5*x] ogf_with_Euler_transform] A035600 38.4697 [-2*(6+x)/(x-1)/(x+1) lgdogf] A035600 5.77624 [{(n+2)*a(n+3)-12*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=24} ogf] A035600 6.04490 [-2*x*(x+1)^5/(x-1)^7 ogf] A035601 28.7305 [[14-6*x] ogf_with_Euler_transform] A035601 31.4753 [-2*(7+x)/(x-1)/(x+1) lgdogf] A035601 4.34961 [2*x*(x+1)^6/(x-1)^8 ogf] A035601 4.73624 [{(n+2)*a(n+3)-14*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=28} ogf] A035602 26.7245 [[16-7*x] ogf_with_Euler_transform] A035602 29.2918 [-2*(x+8)/(x-1)/(1+x) lgdogf] A035602 3.56583 [-2*x*(x+1)^7/(x-1)^9 ogf] A035602 4.41106 [{(n+2)*a(n+3)-16*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=32} ogf] A035603 28.1691 [[18-8*x] ogf_with_Euler_transform] A035603 3.23547 [2*x*(x+1)^8/(x-1)^10 ogf] A035603 30.9012 [-2*(9+x)/(x-1)/(x+1) lgdogf] A035603 4.64950 [{(n+2)*a(n+3)-18*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=36} ogf] A035604 3.50946 [-2*x*(x+1)^9/(x-1)^11 ogf] A035604 34.0620 [[20-9*x] ogf_with_Euler_transform] A035604 35.6265 [-2*(10+x)/(x-1)/(x+1) lgdogf] A035604 5.61513 [{(n+2)*a(n+3)-20*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=40} ogf] A035605 23.5620 [[22-10*x] ogf_with_Euler_transform] A035605 25.7587 [-2*(x+11)/(x-1)/(x+1) lgdogf] A035605 4.07559 [{(n+2)*a(n+3)-22*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=44} ogf] A035606 24.2238 [[24-11*x] ogf_with_Euler_transform] A035606 26.4946 [-2*(12+x)/(x-1)/(1+x) lgdogf] A035606 4.19007 [{(n+2)*a(n+3)-24*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=48} ogf] A035608 14.2068 [-x*(3*x+1)/(x+1)/(x-1)^3 ogf] A035608 22.8015 [-(5+10*x+9*x^2)/(x-1)/(1+3*x)/(x+1) lgdogf] A035608 4.11060 [{(-3-n)*a(n+4)+(-1-3*n)*a(n+3)+(11+n)*a(n+2)+(9+3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=10} ogf] A035608 6.92127 [-(2336*f(x)-6675)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+x) ogf] A035609 11.3598 [1600+(-80+80*x^2)*f(x)+(x^4+1-2*x^2)*f(x)^2 lgdogf] A035610 12.1618 [-4*(-2+24*x+(1-12*x)^(1/2))/(16*x-1)/(-1+12*x) lgdogf] A035610 15.5401 [1/3*(1-8*x+2*(1-4*x+16*x^2)^(1/2))*x revogf] A035610 15.6775 [-16*f(x)^2*x+f(x)^2+2*f(x)-3 ogf] A035610 5.59196 [{(-192*n-288)*a(n+1)+(28*n+66)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=28} ogf] A035611 11.7631 [1936+(-88+88*x^2)*f(x)+(x^4+1-2*x^2)*f(x)^2 lgdogf] A035613 8.30977 [(111-180*x-2*x^4-2*x^5-16*x^6+12*x^3+66*x^2+18*x^7)/(x-1)/(3*x^7+x^6+x^5+x^4+8*x^3+90*x^2+1111000*x-1111111) lgdogf] A035613 9.34270 [(3*x^7+x^6+x^5+x^4+8*x^3+90*x^2+1111000*x-1111111)/(x-1) ogf] A035615 3.59321 [(4*x^7-3*x^6+2*x^5-4*x^4+2*x^3+4*x^2-4*x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1)^2 ogf] A035706 16.7051 [-(x+1)^11/(x-1)^11 ogf] A035706 27.9467 [[22-11*x] ogf_with_Euler_transform] A035706 31.3966 [-22+(1-x^2)*f(x) lgdogf] A035706 6.03241 [{(n+2)*a(n+2)-22*a(n+1)-n*a(n),a(0)=1,a(1)=22} ogf] A035707 26.8786 [[24-12*x] ogf_with_Euler_transform] A035707 32.7286 [-24+(1-x^2)*f(x) lgdogf] A035707 5.80646 [{(n+2)*a(n+2)-24*a(n+1)-n*a(n),a(0)=1,a(1)=24} ogf] A035708 27.9537 [[26-13*x] ogf_with_Euler_transform] A035708 33.8703 [-26+(1-x^2)*f(x) lgdogf] A035708 6.03872 [{(n+2)*a(n+2)-26*a(n+1)-n*a(n),a(0)=1,a(1)=26} ogf] A035709 24.6171 [[28-14*x] ogf_with_Euler_transform] A035709 35.2023 [-28+(1-x^2)*f(x) lgdogf] A035709 5.32791 [{(n+2)*a(n+2)-28*a(n+1)-n*a(n),a(0)=1,a(1)=28} ogf] A035710 25.3986 [[30-15*x] ogf_with_Euler_transform] A035710 33.1403 [-30+(1-x^2)*f(x) lgdogf] A035710 5.49705 [{(n+2)*a(n+2)-30*a(n+1)-n*a(n),a(0)=1,a(1)=30} ogf] A035711 25.9196 [[32-16*x] ogf_with_Euler_transform] A035711 33.8892 [-32+(1-x^2)*f(x) lgdogf] A035711 5.60981 [{(n+2)*a(n+2)-32*a(n+1)-n*a(n),a(0)=1,a(1)=32} ogf] A035712 31.3136 [[34-17*x] ogf_with_Euler_transform] A035712 34.6381 [-34+(1-x^2)*f(x) lgdogf] A035712 6.76453 [{(n+2)*a(n+2)-34*a(n+1)-n*a(n),a(0)=1,a(1)=34} ogf] A035713 24.8357 [[36-18*x] ogf_with_Euler_transform] A035713 32.2048 [-36+(1-x^2)*f(x) lgdogf] A035713 5.38122 [{(n+2)*a(n+2)-36*a(n+1)-n*a(n),a(0)=1,a(1)=36} ogf] A035714 25.2198 [[38-19*x] ogf_with_Euler_transform] A035714 29.4456 [-38+(1-x^2)*f(x) lgdogf] A035714 5.46444 [{(n+2)*a(n+2)-38*a(n+1)-n*a(n),a(0)=1,a(1)=38} ogf] A035715 25.9879 [[40-20*x] ogf_with_Euler_transform] A035715 30.5295 [-40+(1-x^2)*f(x) lgdogf] A035715 5.63086 [{(n+2)*a(n+2)-40*a(n+1)-n*a(n),a(0)=1,a(1)=40} ogf] A035716 26.3720 [[42-21*x] ogf_with_Euler_transform] A035716 30.8908 [-42+(1-x^2)*f(x) lgdogf] A035716 5.71407 [{(n+2)*a(n+2)-42*a(n+1)-n*a(n),a(0)=1,a(1)=42} ogf] A035717 27.0120 [[44-22*x] ogf_with_Euler_transform] A035717 31.6134 [-44+(1-x^2)*f(x) lgdogf] A035717 5.85277 [{(n+2)*a(n+2)-44*a(n+1)-n*a(n),a(0)=1,a(1)=44} ogf] A035718 22.2961 [[46-23*x] ogf_with_Euler_transform] A035718 31.9747 [-46+(1-x^2)*f(x) lgdogf] A035718 4.84405 [{(n+2)*a(n+2)-46*a(n+1)-n*a(n),a(0)=1,a(1)=46} ogf] A035719 22.7889 [[48-24*x] ogf_with_Euler_transform] A035719 32.6973 [-48+(1-x^2)*f(x) lgdogf] A035719 4.95109 [{(n+2)*a(n+2)-48*a(n+1)-n*a(n),a(0)=1,a(1)=48} ogf] A035720 23.1584 [[50-25*x] ogf_with_Euler_transform] A035720 33.2393 [-50+(1-x^2)*f(x) lgdogf] A035720 5.03139 [{(n+2)*a(n+2)-50*a(n+1)-n*a(n),a(0)=1,a(1)=50} ogf] A035721 23.2816 [[52-26*x] ogf_with_Euler_transform] A035721 33.4199 [-52+(1-x^2)*f(x) lgdogf] A035721 5.05815 [{(n+2)*a(n+2)-52*a(n+1)-n*a(n),a(0)=1,a(1)=52} ogf] A035722 23.6511 [[54-27*x] ogf_with_Euler_transform] A035722 33.9618 [-54+(1-x^2)*f(x) lgdogf] A035722 5.13844 [{(n+2)*a(n+2)-54*a(n+1)-n*a(n),a(0)=1,a(1)=54} ogf] A035723 23.8975 [[56-28*x] ogf_with_Euler_transform] A035723 34.3231 [-56+(1-x^2)*f(x) lgdogf] A035723 5.19196 [{(n+2)*a(n+2)-56*a(n+1)-n*a(n),a(0)=1,a(1)=56} ogf] A035724 24.1439 [[58-29*x] ogf_with_Euler_transform] A035724 34.6844 [-58+(1-x^2)*f(x) lgdogf] A035724 5.24549 [{(n+2)*a(n+2)-58*a(n+1)-n*a(n),a(0)=1,a(1)=58} ogf] A035725 24.2670 [[60-30*x] ogf_with_Euler_transform] A035725 34.8651 [-60+(1-x^2)*f(x) lgdogf] A035725 5.27225 [{(n+2)*a(n+2)-60*a(n+1)-n*a(n),a(0)=1,a(1)=60} ogf] A035726 24.5134 [[62-31*x] ogf_with_Euler_transform] A035726 35.2264 [-62+(1-x^2)*f(x) lgdogf] A035726 5.32578 [{(n+2)*a(n+2)-62*a(n+1)-n*a(n),a(0)=1,a(1)=62} ogf] A035727 24.7598 [[64-32*x] ogf_with_Euler_transform] A035727 31.6965 [-64+(1-x^2)*f(x) lgdogf] A035727 5.37930 [{(n+2)*a(n+2)-64*a(n+1)-n*a(n),a(0)=1,a(1)=64} ogf] A035728 25.1293 [[66-33*x] ogf_with_Euler_transform] A035728 32.2278 [-66+(1-x^2)*f(x) lgdogf] A035728 5.45958 [{(n+2)*a(n+2)-66*a(n+1)-n*a(n),a(0)=1,a(1)=66} ogf] A035729 32.7590 [-68+(1-x^2)*f(x) lgdogf] A035729 4.95812 [{(n+2)*a(n+2)-68*a(n+1)-n*a(n),a(0)=1,a(1)=68} ogf] A035730 33.1131 [-70+(1-x^2)*f(x) lgdogf] A035730 5.01058 [{(n+2)*a(n+2)-70*a(n+1)-n*a(n),a(0)=1,a(1)=70} ogf] A035731 33.4673 [-72+(1-x^2)*f(x) lgdogf] A035731 5.06306 [{(n+2)*a(n+2)-72*a(n+1)-n*a(n),a(0)=1,a(1)=72} ogf] A035732 33.4673 [-74+(1-x^2)*f(x) lgdogf] A035732 5.06306 [{(n+2)*a(n+2)-74*a(n+1)-n*a(n),a(0)=1,a(1)=74} ogf] A035733 31.9772 [-76/(x-1)/(x+1) lgdogf] A035733 5.11552 [{(n+2)*a(n+2)-76*a(n+1)-n*a(n),a(0)=1,a(1)=76} ogf] A035734 32.1620 [-78/(x-1)/(x+1) lgdogf] A035734 5.16798 [{(n+2)*a(n+2)-78*a(n+1)-n*a(n),a(0)=1,a(1)=78} ogf] A035735 32.1620 [-80/(x-1)/(x+1) lgdogf] A035735 5.16798 [{(n+2)*a(n+2)-80*a(n+1)-n*a(n),a(0)=1,a(1)=80} ogf] A035736 32.3469 [-82/(x-1)/(x+1) lgdogf] A035736 5.19422 [{(n+2)*a(n+2)-82*a(n+1)-n*a(n),a(0)=1,a(1)=82} ogf] A035737 36.8317 [-84/(x-1)/(x+1) lgdogf] A035737 5.22045 [{(n+2)*a(n+2)-84*a(n+1)-n*a(n),a(0)=1,a(1)=84} ogf] A035738 5.24669 [{(n+2)*a(n+2)-86*a(n+1)-n*a(n),a(0)=1,a(1)=86} ogf] A035739 26.9112 [-88+(1-x^2)*f(x) lgdogf] A035739 5.27292 [{(n+2)*a(n+2)-88*a(n+1)-n*a(n),a(0)=1,a(1)=88} ogf] A035740 27.2498 [-90+(1-x^2)*f(x) lgdogf] A035740 5.35162 [{(n+2)*a(n+2)-90*a(n+1)-n*a(n),a(0)=1,a(1)=90} ogf] A035741 27.7575 [-92+(1-x^2)*f(x) lgdogf] A035741 5.43031 [{(n+2)*a(n+2)-92*a(n+1)-n*a(n),a(0)=1,a(1)=92} ogf] A035742 27.9268 [-94+(1-x^2)*f(x) lgdogf] A035742 28.2089 [[94-47*x] ogf_with_Euler_transform] A035742 6.12866 [{(n+2)*a(n+2)-94*a(n+1)-n*a(n),a(0)=1,a(1)=94} ogf] A035743 28.2653 [-96+(1-x^2)*f(x) lgdogf] A035743 4.28775 [{(n+2)*a(n+2)-96*a(n+1)-n*a(n),a(0)=1,a(1)=96} ogf] A035744 28.2653 [-98+(1-x^2)*f(x) lgdogf] A035744 4.28775 [{(n+2)*a(n+2)-98*a(n+1)-n*a(n),a(0)=1,a(1)=98} ogf] A035745 26.9212 [-100+(1-x^2)*f(x) lgdogf] A035745 4.25903 [{(n+2)*a(n+2)-100*a(n+1)-n*a(n),a(0)=1,a(1)=100} ogf] A035746 3.73701 [-(x+1)*(x^2+14*x+1)*(x^6+138*x^5+975*x^4+1868*x^3+975*x^2+138*x+1)/(x-1)^9 ogf] A035746 4.82899 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+166)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=162} ogf] A035747 3.20365 [(x^2+6*x+1)*(x^8+184*x^7+3740*x^6+16136*x^5+25414*x^4+16136*x^3+3740*x^2+184*x+1)/(x-1)^10 ogf] A035747 4.78468 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+204)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=200} ogf] A035748 3.34082 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+246)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=242} ogf] A035749 3.16436 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+292)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=288} ogf] A035750 3.29315 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+342)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=338} ogf] A035751 3.44032 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+396)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=392} ogf] A035752 3.58751 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+454)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=450} ogf] A035753 3.29470 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+516)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=512} ogf] A035754 3.36671 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+582)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=578} ogf] A035755 3.49274 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+652)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=648} ogf] A035756 3.58276 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+726)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=722} ogf] A035757 3.23559 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+804)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=800} ogf] A035758 3.27076 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+886)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=882} ogf] A035759 2.98179 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+972)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=968} ogf] A035760 3.01124 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1062)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1058} ogf] A035761 3.02815 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1156)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1152} ogf] A035762 3.09582 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1254)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1250} ogf] A035763 3.14657 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1356)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1352} ogf] A035764 3.19732 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1462)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1458} ogf] A035765 3.19732 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1572)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1568} ogf] A035766 3.28191 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1686)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1682} ogf] A035767 3.33266 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1804)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1800} ogf] A035768 3.33266 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+1926)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=1922} ogf] A035769 3.34958 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2052)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2048} ogf] A035770 3.45108 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2182)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2178} ogf] A035771 3.48491 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2316)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2312} ogf] A035772 3.50183 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2454)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2450} ogf] A035773 3.09110 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2596)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2592} ogf] A035774 3.10754 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2742)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2738} ogf] A035775 3.12397 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+2892)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2888} ogf] A035776 3.15686 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+3046)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=3042} ogf] A035777 3.18974 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+3204)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=3200} ogf] A035778 3.20619 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+3366)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=3362} ogf] A035779 3.22263 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+3532)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=3528} ogf] A035780 3.23907 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+3702)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=3698} ogf] A035781 3.25551 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+3876)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=3872} ogf] A035782 3.30484 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+4054)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=4050} ogf] A035783 3.33772 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+4236)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=4232} ogf] A035784 3.35417 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+4422)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=4418} ogf] A035785 2.86721 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+4612)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=4608} ogf] A035786 2.88313 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+4806)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=4802} ogf] A035787 2.91499 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+5004)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=5000} ogf] A035797 5.68649 [-110592-221184*x^2+(6912-4608*x^4+9216*x^2)*f(x)+(-144+144*x^4-96*x^2)*f(x)^2+(1-x^4)*f(x)^3 lgdogf] A035798 23.2816 [[52-26*x] ogf_with_Euler_transform] A035798 5.68849 [-140608-281216*x^2+(8112-5408*x^4+10816*x^2)*f(x)+(-156+156*x^4-104*x^2)*f(x)^2+(1-x^4)*f(x)^3 lgdogf] A035799 23.8975 [[56-28*x] ogf_with_Euler_transform] A035799 8.44877 [-175616+(9408-3136*x^2)*f(x)+(-168+112*x^2)*f(x)^2+(1-x^2)*f(x)^3 lgdogf] A035800 24.2670 [[60-30*x] ogf_with_Euler_transform] A035800 8.45214 [-216000+(10800-3600*x^2)*f(x)+(-180+120*x^2)*f(x)^2+(1-x^2)*f(x)^3 lgdogf] A035801 24.7598 [[64-32*x] ogf_with_Euler_transform] A035801 7.68401 [-262144+(12288-4096*x^2)*f(x)+(-192+128*x^2)*f(x)^2+(1-x^2)*f(x)^3 lgdogf] A035802 32.7590 [-68+(1-x^2)*f(x) lgdogf] A035802 4.95812 [{(n+2)*a(n+2)-68*a(n+1)-n*a(n),a(0)=1,a(1)=68} ogf] A035803 33.4673 [-72+(1-x^2)*f(x) lgdogf] A035803 5.06306 [{(n+2)*a(n+2)-72*a(n+1)-n*a(n),a(0)=1,a(1)=72} ogf] A035804 31.9772 [-76/(x-1)/(x+1) lgdogf] A035804 5.11552 [{(n+2)*a(n+2)-76*a(n+1)-n*a(n),a(0)=1,a(1)=76} ogf] A035805 32.1620 [-80/(x-1)/(x+1) lgdogf] A035805 32.9009 [[80-40*x] ogf_with_Euler_transform] A035805 7.12873 [{(n+2)*a(n+2)-80*a(n+1)-n*a(n),a(0)=1,a(1)=80} ogf] A035806 26.9771 [[84-42*x] ogf_with_Euler_transform] A035806 41.4286 [-84/(x-1)/(x+1) lgdogf] A035806 5.86103 [{(n+2)*a(n+2)-84*a(n+1)-n*a(n),a(0)=1,a(1)=84} ogf] A035807 32.9014 [-88/(x-1)/(x+1) lgdogf] A035807 5.27292 [{(n+2)*a(n+2)-88*a(n+1)-n*a(n),a(0)=1,a(1)=88} ogf] A035808 33.8256 [-92/(x-1)/(1+x) lgdogf] A035808 5.43031 [{(n+2)*a(n+2)-92*a(n+1)-n*a(n),a(0)=1,a(1)=92} ogf] A035809 34.3801 [-96/(x-1)/(x+1) lgdogf] A035809 4.87770 [{(n+2)*a(n+2)-96*a(n+1)-n*a(n),a(0)=1,a(1)=96} ogf] A035810 26.9212 [-100+(1-x^2)*f(x) lgdogf] A035810 4.83943 [{(n+2)*a(n+2)-100*a(n+1)-n*a(n),a(0)=1,a(1)=100} ogf] A035811 27.0805 [-104+(1-x^2)*f(x) lgdogf] A035811 4.28365 [{(n+2)*a(n+2)-104*a(n+1)-n*a(n),a(0)=1,a(1)=104} ogf] A035812 27.0805 [-108+(1-x^2)*f(x) lgdogf] A035812 4.28365 [{(n+2)*a(n+2)-108*a(n+1)-n*a(n),a(0)=1,a(1)=108} ogf] A035813 27.0805 [-112+(1-x^2)*f(x) lgdogf] A035813 4.28365 [{(n+2)*a(n+2)-112*a(n+1)-n*a(n),a(0)=1,a(1)=112} ogf] A035814 27.8770 [-116+(1-x^2)*f(x) lgdogf] A035814 4.40674 [{(n+2)*a(n+2)-116*a(n+1)-n*a(n),a(0)=1,a(1)=116} ogf] A035815 28.1956 [-120+(1-x^2)*f(x) lgdogf] A035815 4.45597 [{(n+2)*a(n+2)-120*a(n+1)-n*a(n),a(0)=1,a(1)=120} ogf] A035816 28.1956 [-124+(1-x^2)*f(x) lgdogf] A035816 4.45597 [{(n+2)*a(n+2)-124*a(n+1)-n*a(n),a(0)=1,a(1)=124} ogf] A035817 28.5142 [-128+(1-x^2)*f(x) lgdogf] A035817 4.50521 [{(n+2)*a(n+2)-128*a(n+1)-n*a(n),a(0)=1,a(1)=128} ogf] A035818 28.5142 [-132+(1-x^2)*f(x) lgdogf] A035818 4.50521 [{(n+2)*a(n+2)-132*a(n+1)-n*a(n),a(0)=1,a(1)=132} ogf] A035819 28.5142 [-136+(1-x^2)*f(x) lgdogf] A035819 4.50521 [{(n+2)*a(n+2)-136*a(n+1)-n*a(n),a(0)=1,a(1)=136} ogf] A035820 29.3107 [-140+(1-x^2)*f(x) lgdogf] A035820 4.62830 [{(n+2)*a(n+2)-140*a(n+1)-n*a(n),a(0)=1,a(1)=140} ogf] A035821 29.6293 [-144+(1-x^2)*f(x) lgdogf] A035821 4.67755 [{(n+2)*a(n+2)-144*a(n+1)-n*a(n),a(0)=1,a(1)=144} ogf] A035822 29.6293 [-148+(1-x^2)*f(x) lgdogf] A035822 4.67755 [{(n+2)*a(n+2)-148*a(n+1)-n*a(n),a(0)=1,a(1)=148} ogf] A035823 29.7886 [-152+(1-x^2)*f(x) lgdogf] A035823 4.70216 [{(n+2)*a(n+2)-152*a(n+1)-n*a(n),a(0)=1,a(1)=152} ogf] A035824 29.7886 [-156+(1-x^2)*f(x) lgdogf] A035824 4.70216 [{(n+2)*a(n+2)-156*a(n+1)-n*a(n),a(0)=1,a(1)=156} ogf] A035825 29.9478 [-160+(1-x^2)*f(x) lgdogf] A035825 4.72678 [{(n+2)*a(n+2)-160*a(n+1)-n*a(n),a(0)=1,a(1)=160} ogf] A035826 30.2664 [-164+(1-x^2)*f(x) lgdogf] A035826 4.77602 [{(n+2)*a(n+2)-164*a(n+1)-n*a(n),a(0)=1,a(1)=164} ogf] A035827 30.5850 [-168+(1-x^2)*f(x) lgdogf] A035827 4.82525 [{(n+2)*a(n+2)-168*a(n+1)-n*a(n),a(0)=1,a(1)=168} ogf] A035828 30.5850 [-172+(1-x^2)*f(x) lgdogf] A035828 4.82525 [{(n+2)*a(n+2)-172*a(n+1)-n*a(n),a(0)=1,a(1)=172} ogf] A035829 30.9036 [-176+(1-x^2)*f(x) lgdogf] A035829 4.87449 [{(n+2)*a(n+2)-176*a(n+1)-n*a(n),a(0)=1,a(1)=176} ogf] A035830 30.9036 [-180+(1-x^2)*f(x) lgdogf] A035830 4.87449 [{(n+2)*a(n+2)-180*a(n+1)-n*a(n),a(0)=1,a(1)=180} ogf] A035831 31.2222 [-184+(1-x^2)*f(x) lgdogf] A035831 4.92373 [{(n+2)*a(n+2)-184*a(n+1)-n*a(n),a(0)=1,a(1)=184} ogf] A035832 31.2222 [-188+(1-x^2)*f(x) lgdogf] A035832 4.92373 [{(n+2)*a(n+2)-188*a(n+1)-n*a(n),a(0)=1,a(1)=188} ogf] A035833 31.3815 [-192+(1-x^2)*f(x) lgdogf] A035833 4.94835 [{(n+2)*a(n+2)-192*a(n+1)-n*a(n),a(0)=1,a(1)=192} ogf] A035834 31.7001 [-196+(1-x^2)*f(x) lgdogf] A035834 4.99758 [{(n+2)*a(n+2)-196*a(n+1)-n*a(n),a(0)=1,a(1)=196} ogf] A035835 31.7001 [-200+(1-x^2)*f(x) lgdogf] A035835 4.99758 [{(n+2)*a(n+2)-200*a(n+1)-n*a(n),a(0)=1,a(1)=200} ogf] A035837 4.89777 [{-n^2*a(n)+(2*n^2+4*n+134)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=132} ogf] A035838 5.15899 [{-n^2*a(n)+(2*n^2+4*n+158)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=156} ogf] A035839 4.97415 [{-n^2*a(n)+(2*n^2+4*n+184)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=182} ogf] A035840 4.78895 [{-n^2*a(n)+(2*n^2+4*n+212)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=210} ogf] A035841 4.93663 [{-n^2*a(n)+(2*n^2+4*n+242)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=240} ogf] A035842 3.85077 [{-n^2*a(n)+(2*n^2+4*n+274)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=272} ogf] A035843 3.57313 [{-n^2*a(n)+(2*n^2+4*n+308)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=306} ogf] A035844 3.65123 [{-n^2*a(n)+(2*n^2+4*n+344)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=342} ogf] A035845 3.70980 [{-n^2*a(n)+(2*n^2+4*n+382)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=380} ogf] A035846 3.82696 [{-n^2*a(n)+(2*n^2+4*n+422)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=420} ogf] A035847 3.45181 [{-n^2*a(n)+(2*n^2+4*n+464)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=462} ogf] A035848 3.52809 [{-n^2*a(n)+(2*n^2+4*n+508)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=506} ogf] A035849 3.54716 [{-n^2*a(n)+(2*n^2+4*n+554)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=552} ogf] A035850 3.66159 [{-n^2*a(n)+(2*n^2+4*n+602)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=600} ogf] A035851 3.71880 [{-n^2*a(n)+(2*n^2+4*n+652)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=650} ogf] A035852 3.77601 [{-n^2*a(n)+(2*n^2+4*n+704)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=702} ogf] A035853 3.34529 [{-n^2*a(n)+(2*n^2+4*n+758)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=756} ogf] A035854 3.43821 [{-n^2*a(n)+(2*n^2+4*n+814)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=812} ogf] A035855 3.47538 [{-n^2*a(n)+(2*n^2+4*n+872)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=870} ogf] A035856 3.49396 [{-n^2*a(n)+(2*n^2+4*n+932)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=930} ogf] A035857 3.54972 [{-n^2*a(n)+(2*n^2+4*n+994)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=992} ogf] A035858 3.57373 [{-n^2*a(n)+(2*n^2+4*n+1058)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1056} ogf] A035859 3.11712 [{-n^2*a(n)+(2*n^2+4*n+1124)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1122} ogf] A035860 3.11712 [{-n^2*a(n)+(2*n^2+4*n+1192)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1190} ogf] A035861 3.17056 [{-n^2*a(n)+(2*n^2+4*n+1262)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1260} ogf] A035862 3.20619 [{-n^2*a(n)+(2*n^2+4*n+1334)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1332} ogf] A035863 3.22400 [{-n^2*a(n)+(2*n^2+4*n+1408)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1406} ogf] A035864 3.22400 [{-n^2*a(n)+(2*n^2+4*n+1484)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1482} ogf] A035865 3.29525 [{-n^2*a(n)+(2*n^2+4*n+1562)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1560} ogf] A035866 3.33088 [{-n^2*a(n)+(2*n^2+4*n+1642)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1640} ogf] A035867 3.36650 [{-n^2*a(n)+(2*n^2+4*n+1724)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1722} ogf] A035868 3.36650 [{-n^2*a(n)+(2*n^2+4*n+1808)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1806} ogf] A035869 3.41993 [{-n^2*a(n)+(2*n^2+4*n+1894)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1892} ogf] A035870 3.43774 [{-n^2*a(n)+(2*n^2+4*n+1982)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=1980} ogf] A035871 3.47337 [{-n^2*a(n)+(2*n^2+4*n+2072)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=2070} ogf] A035872 3.47337 [{-n^2*a(n)+(2*n^2+4*n+2164)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=2162} ogf] A035873 3.52681 [{-n^2*a(n)+(2*n^2+4*n+2258)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=2256} ogf] A035874 3.54462 [{-n^2*a(n)+(2*n^2+4*n+2354)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=2352} ogf] A035875 3.54462 [{-n^2*a(n)+(2*n^2+4*n+2452)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=2450} ogf] A035876 3.58024 [{-n^2*a(n)+(2*n^2+4*n+2552)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=2550} ogf] A035877 4.39765 [-(2*f(x)+9)*(f(x)*x^4-x^4-2*f(x)*x^2-2*x^3-10*x^2+f(x)-2*x-1) ogf] A035877 6.77476 [(x^4+2*x^3+10*x^2+2*x+1)/(x-1)^2/(x+1)^2 ogf] A035877 7.37087 [-2*(1+12*x+x^4+12*x^3+6*x^2)/(-1+x)/(x+1)/(x^4+2*x^3+10*x^2+2*x+1) lgdogf] A035878 7.16881 [(x^8+36*x^6+32*x^5+118*x^4+32*x^3+36*x^2+1)/(x-1)^4/(x+1)^4 ogf] A035878 7.97325 [-16*x*(5+6*x^5+43*x^4+5*x^6+20*x^3+43*x^2+6*x)/(x-1)/(x+1)/(x^8+36*x^6+32*x^5+118*x^4+32*x^3+36*x^2+1) lgdogf] A035879 4.25832 [(x^12+66*x^10+32*x^9+687*x^8+480*x^7+1564*x^6+480*x^5+687*x^4+32*x^3+66*x^2+1)/(x-1)^6/(x+1)^6 ogf] A035900 2.86721 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+4612)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=4608} ogf] A035901 2.91499 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+5004)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=5000} ogf] A035902 2.93092 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+5412)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=5408} ogf] A035903 2.94685 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+5836)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=5832} ogf] A035904 2.97871 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+6276)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=6272} ogf] A035905 3.01056 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+6732)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=6728} ogf] A035906 3.05835 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+7204)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=7200} ogf] A035907 3.09021 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+7692)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=7688} ogf] A035908 3.12206 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+8196)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=8192} ogf] A035909 3.13799 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+8716)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=8712} ogf] A035910 3.13799 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+9252)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=9248} ogf] A035911 3.21764 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+9804)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=9800} ogf] A035912 3.22409 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+10372)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=10368} ogf] A035913 3.23982 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+10956)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=10952} ogf] A035914 3.25554 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+11556)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=11552} ogf] A035915 3.25554 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+12172)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=12168} ogf] A035916 3.27127 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+12804)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=12800} ogf] A035917 3.31846 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+13452)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=13448} ogf] A035918 2.79249 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+14116)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=14112} ogf] A035919 2.79249 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+14796)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=14792} ogf] A035920 2.79249 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+15492)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=15488} ogf] A035921 2.79249 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+16204)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=16200} ogf] A035922 2.80767 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+16932)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=16928} ogf] A035923 2.85320 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+17676)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=17672} ogf] A035924 2.86837 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+18436)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=18432} ogf] A035925 2.86837 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+19212)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=19208} ogf] A035926 2.86837 [{(-2*n^2-n)*a(n)+(4*n^2+8*n+20004)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=20000} ogf] A035927 4.18717 [{(n+11)*a(n+1)+(-2*n-14)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=9,a(2)=54} ogf] A035929 8.63381 [-f(x)^2*x^2+2*f(x)^2*x-2*f(x)^2+f(x)*x+f(x)-x ogf] A035930 9.96839 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A035937 13.5986 [-(x^4+x^3+x^2+x)/(x^7-1) ogf_with_Euler_transform] A035938 13.6031 [-(x^5+x^3+x^2+1)/(x^7-1) ogf_with_Euler_transform] A035939 13.9339 [-(x^5+x^4+x+1)/(x^7-1) ogf_with_Euler_transform] A035943 11.0357 [-(x^5+1)/(x^7-x^6+x^4-x^3+x-1) ogf_with_Euler_transform] A035959 14.1172 [-(x^3+x^2+x+1)/(x^5-1) ogf_with_Euler_transform] A035985 11.1813 [-(x^5+x^4+x^3+x^2+x+1)/(x^7-1) ogf_with_Euler_transform] A036015 15.0303 [-(-x^4-x^3-x^2)/(-x^8+1) ogf_with_Euler_transform] A036016 16.2228 [-(-x^6-x^3-1)/(-x^8+1) ogf_with_Euler_transform] A036018 10.8022 [-(x^10+x^7+x^6+x^4+x^3+1)/(x^12-1) ogf_with_Euler_transform] A036018 99.9999 Evaluated at exp(-Pi) 1/3*exp(1/4*Pi)*Pi^(1/2)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)*GAMMA(11/12)*(3^(1/2)-1) A036026 99.9999 Evaluated at exp(-Pi) 1/25600*exp(1/2*Pi)*2^(2/5)*5^(3/4)*GAMMA(4/5)^6/GAMMA(9/10)^3/GAMMA(7/10)^3*(5-5^(1/2))^3*(5^(1/2)-1)^3*(5^(1/2)+1)^3 A036058 3.63857 [10*x*(98010000*x^9-99009900*x^8-1000100*x^7-139009900*x^6-1000100*x^5-1299100*x^4-12900*x^3-200*x^2-110*x-1)/(x-1) ogf] A036068 10.2404 [-(3*x^2-3*x+1)/(3*x-1)^3 ogf] A036068 16.6429 [-3*(2-4*x+3*x^2)/(3*x-1)/(3*x^2-3*x+1) lgdogf] A036068 17.5676 [1/3*(-1+(9*x+1)^(1/3))/(9*x+1)^(1/3) revogf] A036068 5.60995 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=6,a(2)=30} ogf] A036068 5.65917 [(27*f(x)-7)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A036070 14.1115 [1/4*(-1+(1+16*x)^(1/4))/(1+16*x)^(1/4) revogf] A036070 3.75492 [(16*f(x)+9)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2+16*x^3-16*f(x)*x-16*x^2+f(x)+6*x-1) ogf] A036070 5.17188 [{(4*n+24)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=10} ogf] A036070 6.44964 [-(2*x-1)*(8*x^2-4*x+1)/(4*x-1)^4 ogf] A036070 9.57564 [-2*(-5+20*x+32*x^3-40*x^2)/(2*x-1)/(4*x-1)/(8*x^2-4*x+1) lgdogf] A036071 5.55555 [{(-n-2)*a(n+2)+(30+5*n)*a(n+1),a(0)=1,a(1)=25} ogf] A036071 52.4646 [-25/(5*x-1) lgdogf] A036071 9.05982 [-1/(5*x-1)^5 ogf] A036074 31.9868 [exp(4*x)+exp(x) lgdegf] A036075 33.7210 [exp(5*x)+exp(x) lgdegf] A036076 35.2625 [exp(x)+exp(6*x) lgdegf] A036077 32.1097 [exp(7*x)+exp(x) lgdegf] A036078 32.8652 [exp(8*x)+exp(x) lgdegf] A036079 33.6208 [exp(9*x)+exp(x) lgdegf] A036080 32.0507 [exp(x)+exp(10*x) lgdegf] A036081 7.38231 [11*a(n+1)+(-12*n-24)*a(n+2)+(5*n+6+n^2)*a(n+3),a(0)=2,a(1)=12,a(2)=61 lgdegf] A036082 33.2902 [exp(12*x)+exp(x) lgdegf] A036083 14.6447 [1/5*(-1+(1+25*x)^(1/5))/(1+25*x)^(1/5) revogf] A036083 5.11961 [-(125*x^4-125*x^3+50*x^2-10*x+1)/(5*x-1)^5 ogf] A036083 5.36110 [{(5*n+35)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=15} ogf] A036083 7.52026 [-5*(3-20*x+75*x^2-150*x^3+125*x^4)/(5*x-1)/(125*x^4-125*x^3+50*x^2-10*x+1) lgdogf] A036084 47.9320 [-36/(-1+6*x) lgdogf] A036084 5.53533 [{(-n-2)*a(n+2)+(42+6*n)*a(n+1),a(0)=1,a(1)=36} ogf] A036084 7.06922 [1/(6*x-1)^6 ogf] A036085 4.70614 [(x+1)*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A036085 5.99490 [-(129+3469*x+249*x^6+4659*x^5+20983*x^4+32463*x^3+x^7+18687*x^2)/(x-1)/(x+1)/(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1) lgdogf] A036117 5.91786 [-(2+4*x-x^6-22*x^5+34*x^4-20*x^3+15*x^8-6*x^9+6*x^10+10*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(6*x^5-3*x^4+4*x^3+2*x^2+x+1) lgdogf] A036117 8.55966 [-(6*x^5-3*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A036118 7.58765 [-(7*x^6+3*x^5-5*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A036119 6.44435 [-(6*x^8-4*x^7+10*x^6-8*x^5+3*x^4+x^3+6*x^2+2*x+1)/(x-1)/(x^8+1) ogf] A036120 5.91480 [-(10*x^9-5*x^8+7*x^7-6*x^6-3*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A036121 5.82276 [-(14*x^11-2*x^10-5*x^9-x^8+9*x^7-12*x^6+16*x^5-6*x^4+8*x^3-3*x^2+4*x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A036216 11.2766 [1/(3*x-1)^4 ogf] A036216 4.83282 [-(f(x)+1)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A036216 5.74467 [{(-n-2)*a(n+2)+(15+3*n)*a(n+1),a(0)=1,a(1)=12} ogf] A036216 54.2337 [-12/(3*x-1) lgdogf] A036217 5.51460 [{(-n-2)*a(n+2)+(18+3*n)*a(n+1),a(0)=1,a(1)=15} ogf] A036217 52.0336 [-15/(3*x-1) lgdogf] A036217 9.58275 [-1/(3*x-1)^5 ogf] A036219 45.4352 [-18/(-1+3*x) lgdogf] A036219 5.25666 [{(-n-2)*a(n+2)+(21+3*n)*a(n+1),a(0)=1,a(1)=18} ogf] A036219 7.14367 [1/(3*x-1)^6 ogf] A036220 5.45449 [{(-n-2)*a(n+2)+(24+3*n)*a(n+1),a(0)=1,a(1)=21} ogf] A036220 51.4721 [-21/(3*x-1) lgdogf] A036220 6.72298 [-1/(3*x-1)^7 ogf] A036221 44.4120 [-24/(-1+3*x) lgdogf] A036221 5.13888 [{(-n-2)*a(n+2)+(27+3*n)*a(n+1),a(0)=1,a(1)=24} ogf] A036221 5.18782 [1/(3*x-1)^8 ogf] A036222 4.83912 [-1/(3*x-1)^9 ogf] A036222 5.24999 [{(-n-2)*a(n+2)+(30+3*n)*a(n+1),a(0)=1,a(1)=27} ogf] A036223 34.7812 [-30+(1-3*x)*f(x) lgdogf] A036223 5.36110 [{(-n-2)*a(n+2)+(33+3*n)*a(n+1),a(0)=1,a(1)=30} ogf] A036224 14.2237 [1/6*(-1+(1+36*x)^(1/6))/(1+36*x)^(1/6) revogf] A036224 4.00044 [-(3*x-1)*(12*x^2-6*x+1)*(36*x^2-6*x+1)/(6*x-1)^6 ogf] A036224 5.20812 [{(6*n+48)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=21} ogf] A036224 5.81182 [-3*(-7+70*x-420*x^2+1512*x^3-3024*x^4+2592*x^5)/(6*x-1)/(3*x-1)/(12*x^2-6*x+1)/(36*x^2-6*x+1) lgdogf] A036226 4.68202 [{(-n-2)*a(n+2)+(56+7*n)*a(n+1),a(0)=1,a(1)=49} ogf] A036226 44.1094 [-49/(7*x-1) lgdogf] A036226 5.16973 [-1/(7*x-1)^7 ogf] A036239 4.87147 [-(55*f(x)-2084)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-10*f(x)*x+5*x^2+f(x)-2*x) ogf] A036239 9.01173 [-(15-140*x-692*x^3+360*x^4+475*x^2)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-2) lgdogf] A036239 9.67232 [-x*(5*x-2)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A036240 6.00821 [4*x^2*(43*x^2-25*x+3)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A036242 6.24320 [{a(n+1)+(2*n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=25} ogf] A036244 6.04181 [{-a(n+1)+(-2*n-7)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=16} ogf] A036245 5.31227 [{a(n+1)+(n^2+8*n+16)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=37} ogf] A036246 2.86907 [{(-2-n)*a(n+1)+(-n^3-10*n^2-33*n-36)*a(n+2)+(-n^3-14*n^2-64*n-98)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=5,a(2)=46,a(3)=741} ogf] A036255 4.83865 [(1152749*f(x)-657834)*(12500*f(x)*x^3-3125*f(x)*x^2+130*f(x)*x+3750*x^2-f(x)-225*x+9) ogf] A036255 5.18154 [{a(n+3)-130*a(n+2)+3125*a(n+1)-12500*a(n),a(0)=9,a(1)=945,a(2)=98475} ogf] A036255 7.03504 [-5*(63-3250*x+36875*x^2-375000*x^3+3125000*x^4)/(100*x-1)/(25*x-1)/(5*x-1)/(1250*x^2-75*x+3) lgdogf] A036255 8.77408 [-3*(1250*x^2-75*x+3)/(100*x-1)/(25*x-1)/(5*x-1) ogf] A036256 3.53183 [{(-4*n-12)*a(n+1)+(4*n+10)*a(n+2)+(n+7)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A036256 5.33818 [-2*f(x)^2*x^4+5*f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2*x+2*f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A036257 4.55988 [(4418469*f(x)-1189013)*(12500*f(x)*x^3-3125*f(x)*x^2+130*f(x)*x+1125*x^2-f(x)-40*x+1) ogf] A036257 4.96114 [{a(n+3)-130*a(n+2)+3125*a(n+1)-12500*a(n),a(0)=1,a(1)=90,a(2)=9700} ogf] A036257 6.77013 [-10*(9-400*x+1406250*x^4-100000*x^3+1625*x^2)/(100*x-1)/(25*x-1)/(5*x-1)/(1125*x^2-40*x+1) lgdogf] A036257 8.38031 [-(1125*x^2-40*x+1)/(100*x-1)/(25*x-1)/(5*x-1) ogf] A036258 5.00324 [(21280*f(x)-69637)*(250*f(x)*x^4-75*f(x)*x^3-45*f(x)*x^2+75*x^3+15*f(x)*x-f(x)-6*x+1) ogf] A036258 7.31515 [-(9-90*x-1125*x^4+18750*x^6-350*x^3+270*x^2)/(5*x-1)/(10*x-1)/(5*x^2-1)/(75*x^3-6*x+1) lgdogf] A036258 9.53949 [-(75*x^3-6*x+1)/(5*x-1)/(10*x-1)/(5*x^2-1) ogf] A036289 12.8629 [-4*f(x)*x^2+4*f(x)*x-f(x)+2*x ogf] A036289 20.5111 [2*x/(2*x-1)^2 ogf] A036289 32.5483 [2*x/(1+(4*x+1)^(1/2))^2 revogf] A036289 68.0554 [-4/(-1+2*x) lgdogf] A036289 9.36928 [{a(n+2)-4*a(n+1)+4*a(n),a(0)=0,a(1)=2} ogf] A036290 11.2388 [-9*f(x)*x^2+6*f(x)*x-f(x)+3*x ogf] A036290 17.9213 [3*x/(3*x-1)^2 ogf] A036290 26.1373 [4/3*x/(1+(4*x+1)^(1/2))^2 revogf] A036290 59.4030 [-6/(-1+3*x) lgdogf] A036290 8.18628 [{a(n+2)-6*a(n+1)+9*a(n),a(0)=0,a(1)=3} ogf] A036291 15.4568 [5*x/(5*x-1)^2 ogf] A036291 23.7473 [4/5*x/(1+(4*x+1)^(1/2))^2 revogf] A036291 53.9710 [-10/(5*x-1) lgdogf] A036291 7.26283 [{a(n+2)-10*a(n+1)+25*a(n),a(0)=0,a(1)=5} ogf] A036291 9.88222 [-25*f(x)*x^2+10*f(x)*x-f(x)+5*x ogf] A036292 11.8574 [-36*f(x)*x^2+12*f(x)*x-f(x)+6*x ogf] A036292 18.5462 [6*x/(6*x-1)^2 ogf] A036292 23.2469 [2/3*x/(1+(4*x+1)^(1/2))^2 revogf] A036292 52.8338 [-12/(6*x-1) lgdogf] A036292 8.71449 [{a(n+2)-12*a(n+1)+36*a(n),a(0)=0,a(1)=6} ogf] A036293 10.215 [-49*f(x)*x^2+14*f(x)*x-f(x)+7*x ogf] A036293 15.9772 [7*x/(7*x-1)^2 ogf] A036293 24.5650 [4/7*x/(1+(4*x+1)^(1/2))^2 revogf] A036293 51.1771 [-14/(-1+7*x) lgdogf] A036293 7.50737 [{a(n+2)-14*a(n+1)+49*a(n),a(0)=0,a(1)=7} ogf] A036294 12.1282 [-64*f(x)*x^2+16*f(x)*x-f(x)+8*x ogf] A036294 18.9697 [8*x/(8*x-1)^2 ogf] A036294 23.4377 [1/2*x/(1+(4*x+1)^(1/2))^2 revogf] A036294 48.8286 [-16/(-1+8*x) lgdogf] A036294 8.91347 [{a(n+2)-16*a(n+1)+64*a(n),a(0)=0,a(1)=8} ogf] A036353 3.98938 [{a(n+4)-9603*a(n+3)+9603*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=9801,a(3)=94109401} ogf] A036353 8.03341 [-x*(x^2+198*x+1)/(x-1)/(x^2-9602*x+1) ogf] A036354 4.93107 [-(x^6+80*x^5+5848*x^4+222070*x^3+5848*x^2+80*x+1)/(x-1)/(x^6-2079362*x^3+1) ogf] A036404 18.6801 [-2*x^5+x^4+2*x^2+x+1 ogf_with_Euler_transform] A036404 7.32769 [-x*(x+1)*(x^2-x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A036404 9.12512 [-(1+3*x+7*x^2+4*x^3+9*x^4+3*x^5+x^6+2*x^7)/(-1+x)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A036405 13.7709 [-x^9+x^6-x^5+x^4+x^2+x+1 ogf_with_Euler_transform] A036405 7.50852 [-x*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A036406 18.8504 [-x^9+x^4+x^3+x+1 ogf_with_Euler_transform] A036406 8.00274 [-x*(x^4-x^3+x^2-x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A036406 9.67261 [-(1+2*x-x^2+8*x^3-3*x^4+4*x^5-x^6+2*x^7)/(-1+x)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1) lgdogf] A036407 7.11278 [-x*(x+1)*(x^8-2*x^7+2*x^6-x^5+x^4-x^3+2*x^2-2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A036408 7.08731 [-x*(x^10-x^9+x^7+x^3-x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A036409 12.1933 [-x^11+x^10-x^9+x^4+x^3+x^2+1 ogf_with_Euler_transform] A036409 7.01349 [-x*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A036410 11.5046 [-(1+2*x+3*x^6+2*x^7+4*x^2+6*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^2+1) lgdogf] A036410 16.7875 [-x^11+x^5+x^3+x^2+1 ogf_with_Euler_transform] A036410 9.57462 [-(x^4-x^2+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A036411 5.51717 [-(x^4+8*x^3+182*x^2+8*x+1)/(x-1)/(x^2-30*x+1)/(x^2+30*x+1) ogf] A036428 4.80391 [(58710606*f(x)-394673)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)+30*x+1) ogf] A036428 5.04017 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=1,a(1)=225,a(2)=43681} ogf] A036428 9.31668 [-(x^2+30*x+1)/(x-1)/(x^2-194*x+1) ogf] A036444 8.24660 [(x^20-x^19+x^17+x^9-x^8+x^7-x^6+x^5+x^2-x-4)/(x-1) ogf] A036453 13.7680 [{a(n+2)-a(n+1),a(0)=1,a(1)=2} ogf] A036453 22.0287 [-f(x)*x+f(x)-x-1 ogf] A036453 26.7917 [-(x+1)/(x-1) ogf] A036453 30.3962 [-1/2*x-1/2+1/2*(x^2+6*x+1)^(1/2) revogf] A036453 47.1074 [[2-x] ogf_with_Euler_transform] A036453 69.4770 [-2/(x-1)/(1+x) lgdogf] A036464 31.9052 [-(11+4*x)/(x+2)/(x-1) lgdogf] A036464 4.54403 [{(2+2*n)*a(n+3)+(-11-n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=8} ogf] A036464 8.57039 [-4*x^2*(x+2)/(x-1)^5 ogf] A036469 18.0656 [-(x^2-2)/(-x^2+1) ogf_with_Euler_transform] A036486 17.6947 [-4*(3*x+1)*(x^2+x+1)/(x-1)/(x+1)/(4*x^2+x+1) lgdogf] A036486 9.75126 [x*(4*x^2+x+1)/(x+1)/(x-1)^4 ogf] A036487 16.4579 [-(13+25*x+7*x^2+3*x^3)/(x-1)/(x+1)/(x^2+x+4) lgdogf] A036487 8.60674 [x^2*(x^2+x+4)/(x+1)/(x-1)^4 ogf] A036498 10.1380 [-x*(5*x^2+2*x+5)/(x+1)^2/(x-1)^3 ogf] A036498 16.8646 [-(5*x+1)*(3*x^2+2*x+7)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A036499 12.8194 [-(2+22*x+15*x^2+29*x^3+3*x^4+x^5)/(x-1)/(x+1)/(x^4+x^3+8*x^2+x+1) lgdogf] A036499 9.12804 [-(x^4+x^3+8*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A036507 12.4767 [1/10*(-5+(25+1024*x+x^2)^(1/2))/(1024+x) revogf] A036507 5.51504 [{a(n+3)-100*a(n+1),a(0)=0,a(1)=100,a(2)=102400} ogf] A036507 6.6761 [-f(x)*(100*f(x)*x^2+102400*x^2-f(x)+100*x) ogf] A036507 9.39600 [-100*x*(1024*x+1)/(10*x-1)/(10*x+1) ogf] A036507 9.41634 [-8*(128+25*x+12800*x^2)/(1024*x+1)/(10*x+1)/(-1+10*x) lgdogf] A036517 5.35077 [-100*x*(1998000*x^6-172280*x^4+2100*x^3-2677*x^2-201*x-3)/(10*x-1)/(10*x+1)/(10*x^2-1) ogf] A036527 14.2557 [-(4096000*x^4+140608*x^2+1)/(10*x-1)/(100*x^2+10*x+1) ogf] A036527 6.4536 [-(8521984481056448534321323*f(x)+1851287333431593303164321792)*(1000*f(x)*x^3+4096000*x^4+140608*x^2-f(x)+1) ogf] A036527 7.70267 [{a(n+5)-1000*a(n+2),a(0)=1,a(1)=0,a(2)=140608,a(3)=1000,a(4)=4096000} ogf] A036542 5.36266 [-(44*f(x)-761)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+5*x^3-6*f(x)*x-6*x^2+f(x)+3*x-1) ogf] A036542 8.04720 [-(3-5*x+10*x^4-9*x^3+3*x^2)/(-1+x)/(2*x-1)/(5*x^3-6*x^2+3*x-1) lgdogf] A036542 9.91076 [-(5*x^3-6*x^2+3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A036543 14.1631 [(5*x+1)/(3*x-1)/(x-1) ogf] A036543 14.5224 [-1/2*(-4*x-1+(4*x^2+28*x+1)^(1/2))/(-5+3*x) revogf] A036543 16.0119 [-3*(x+1)*(-3+5*x)/(x-1)/(5*x+1)/(3*x-1) lgdogf] A036543 7.32572 [(10*f(x)+17)*(3*f(x)*x^2-4*f(x)*x+f(x)-5*x-1) ogf] A036543 7.77241 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=9} ogf] A036544 3.38081 [-(f(x)-2)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+2*x^2-f(x)-20*x+2) ogf] A036544 3.49840 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A036544 6.18948 [-2*(x^2-10*x+1)/(10*x-1)/(x-1)^2 ogf] A036544 7.24043 [-2*(-1+19*x+5*x^3-95*x^2)/(-1+x)/(10*x-1)/(x^2-10*x+1) lgdogf] A036545 13.2649 [(13*x+1)/(3*x-1)/(x-1) ogf] A036545 13.5789 [-1/2*(-4*x-1+(4*x^2+60*x+1)^(1/2))/(-13+3*x) revogf] A036545 14.9368 [-(-17+6*x+39*x^2)/(x-1)/(3*x-1)/(13*x+1) lgdogf] A036545 6.85603 [(62*f(x)+227)*(3*f(x)*x^2-4*f(x)*x+f(x)-13*x-1) ogf] A036545 7.35164 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=17} ogf] A036546 13.7485 [(29*x+1)/(3*x-1)/(x-1) ogf] A036546 13.7715 [-1/2*(-4*x-1+(4*x^2+124*x+1)^(1/2))/(-29+3*x) revogf] A036546 14.7552 [-3*(-11+2*x+29*x^2)/(x-1)/(29*x+1)/(3*x-1) lgdogf] A036546 7.10599 [(14*f(x)+107)*(3*f(x)*x^2-4*f(x)*x+f(x)-29*x-1) ogf] A036546 7.61966 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=33} ogf] A036547 13.0873 [(61*x+1)/(3*x-1)/(x-1) ogf] A036547 13.0994 [-1/2*(-4*x-1+(4*x^2+252*x+1)^(1/2))/(-61+3*x) revogf] A036547 14.3774 [-(-65+6*x+183*x^2)/(x-1)/(3*x-1)/(61*x+1) lgdogf] A036547 6.61555 [(254*f(x)+3971)*(3*f(x)*x^2-4*f(x)*x+f(x)-61*x-1) ogf] A036547 7.25318 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=65} ogf] A036548 13.2758 [(125*x+1)/(3*x-1)/(x-1) ogf] A036548 13.2918 [-1/2*(-4*x-1+(4*x^2+508*x+1)^(1/2))/(-125+3*x) revogf] A036548 13.8959 [-3*(-43+2*x+125*x^2)/(x-1)/(3*x-1)/(125*x+1) lgdogf] A036548 6.78221 [(170*f(x)+5377)*(3*f(x)*x^2-4*f(x)*x+f(x)-125*x-1) ogf] A036548 7.42813 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=129} ogf] A036549 12.2984 [-1/2*(-4*x-1+(4*x^2+1020*x+1)^(1/2))/(-253+3*x) revogf] A036549 12.5615 [(253*x+1)/(3*x-1)/(x-1) ogf] A036549 13.4424 [-(-257+6*x+759*x^2)/(x-1)/(3*x-1)/(253*x+1) lgdogf] A036549 6.28074 [(1022*f(x)+65027)*(3*f(x)*x^2-4*f(x)*x+f(x)-253*x-1) ogf] A036549 7.02844 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=257} ogf] A036550 4.83852 [(161*f(x)+66)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A036550 9.13186 [(5*x^2-4*x+1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A036550 9.48253 [-(3-21*x+63*x^2-97*x^3+60*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(5*x^2-4*x+1) lgdogf] A036551 11.2192 [-(10*x^2-6*x+1)/(x-1)/(6*x-1)/(2*x-1) ogf] A036551 5.83763 [-(1370*f(x)-343)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x+10*x^2-f(x)-6*x+1) ogf] A036551 6.24371 [{-a(n+3)+9*a(n+2)-20*a(n+1)+12*a(n),a(0)=1,a(1)=3,a(2)=17} ogf] A036551 8.22020 [-(3-20*x+66*x^2-144*x^3+120*x^4)/(-1+x)/(6*x-1)/(2*x-1)/(10*x^2-6*x+1) lgdogf] A036557 5.94407 [(1-45*x^6+15*x^8+20*x^7-11*x^2+4*x^3+36*x^4-16*x^5)/(x-1)/(-1+2*x)/(x+1)/(3*x^2-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) lgdogf] A036557 6.61221 [(x^5-3*x^4-3*x^3+4*x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(3*x^2-1) ogf] A036562 4.87301 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=1,a(1)=8,a(2)=23,a(3)=77} ogf] A036562 5.02181 [-(486*f(x)+6851)*(8*f(x)*x^3-14*f(x)*x^2+20*x^3+7*f(x)*x-19*x^2-f(x)+x+1) ogf] A036562 8.48874 [-(8-66*x+203*x^2-264*x^3+128*x^4)/(x-1)/(-1+4*x)/(2*x-1)/(20*x^3-19*x^2+x+1) lgdogf] A036562 9.13689 [-(20*x^3-19*x^2+x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A036563 15.5573 [(5*x-2)/(2*x-1)/(x-1) ogf] A036563 18.2407 [-(1-8*x+10*x^2)/(x-1)/(-1+2*x)/(5*x-2) lgdogf] A036563 18.2407 [1/2/(2*x-5)*(-2+3*x+(4+8*x+x^2)^(1/2)) revogf] A036563 7.86605 [-(2*f(x)+5)*(2*f(x)*x^2-3*f(x)*x+f(x)-5*x+2) ogf] A036563 8.53755 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=-2,a(1)=-1} ogf] A036564 12.0565 [(2*x+1)*(14*x+1)/(2*x-1)/(x-1) ogf] A036564 12.7408 [-(-19-52*x+116*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(14*x+1) lgdogf] A036564 6.37604 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=19,a(2)=83} ogf] A036564 6.69807 [(109*f(x)+252)*(2*f(x)*x^2-3*f(x)*x-28*x^2+f(x)-16*x-1) ogf] A036572 13.4481 [(2*x^2-3)/(x+1)/(x-1)^3 ogf] A036572 16.6830 [-2*(-3-4*x+2*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2-3) lgdogf] A036572 6.96856 [(21*f(x)-607)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-2*x^2-f(x)+3) ogf] A036573 11.8537 [-(x^3-4*x^2+4)/(x+1)/(x-1)^3 ogf] A036573 15.0937 [-(8+8*x-5*x^2-6*x^3+x^4)/(x-1)/(x+1)/(x^3-4*x^2+4) lgdogf] A036573 6.42077 [(106*f(x)-4353)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-4*x^2-f(x)+4) ogf] A036605 5.96249 [(8*f(x)+7)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+x^3+3*x^2-f(x)+4*x+1) ogf] A036605 9.02861 [-(4+8*x+13*x^2+20*x^3+17*x^4+6*x^5+x^6)/(x^2+x+1)/(x^2+x-1)/(x^3+3*x^2+4*x+1) lgdogf] A036605 9.71968 [-(x^3+3*x^2+4*x+1)/(x^2+x+1)/(x^2+x-1) ogf] A036659 10.2048 [(x^2+6*x+2)/(x-1)^4 ogf] A036659 20.8996 [-2*(7+10*x+x^2)/(x-1)/(x^2+6*x+2) lgdogf] A036659 5.97501 [(2249694*f(x)+11174087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-6*x-2) ogf] A036666 15.5610 [-(7+25*x+19*x^2+9*x^3)/(x-1)/(x+1)/(3*x^2+4*x+3) lgdogf] A036666 9.36395 [-x*(3*x^2+4*x+3)/(x+1)^2/(x-1)^3 ogf] A036681 10.4474 [(x+2)*(x-1)/(x^2+x-1)^3 ogf] A036681 16.0684 [-(2*x+1)*(2*x^2+2*x-5)/(x+2)/(x-1)/(x^2+x-1) lgdogf] A036682 13.6797 [-2*(2*x+1)*(3*x^2+3*x-5)/(2*x^2+2*x-3)/(x^2+x-1) lgdogf] A036682 6.63458 [-(2*x^2+2*x-3)/(x^2+x-1)^4 ogf] A036683 4.91440 [-(x^4+2*x^3-4*x^2-5*x+5)/(x^2+x-1)^5 ogf] A036683 9.43341 [-(2*x+1)*(3*x^4+6*x^3-15*x^2-18*x+20)/(x^2+x-1)/(x^4+2*x^3-4*x^2-5*x+5) lgdogf] A036684 4.08294 [(x+2)*(x-1)*(3*x^2+3*x-4)/(x^2+x-1)^6 ogf] A036684 8.31673 [-2*(2*x+1)*(6*x^4+12*x^3-16*x^2-22*x+19)/(x-1)/(x+2)/(3*x^2+3*x-4)/(x^2+x-1) lgdogf] A036754 10.1001 [7/(x+1) lgdegf] A036758 31.0610 [x/(1+5*x+6*x^2+x^3) revogf] A036758 9.71471 [x^3*f(x)^3+6*f(x)^2*x^2+5*f(x)*x-f(x)+1 ogf] A036759 4.24693 [f(x)^3*x^4-2*x^3*f(x)^3+2*f(x)^2*x^3-6*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2-3*f(x)*x+2*f(x)-x-2 ogf] A036759 8.15962 [-1/2*(-2-2*x^3-3*x-6*x^2+((4*x^4+8*x^2+4*x+1)*(x+2)^2)^(1/2))/(-1-x+2*x^2+x^3) revogf] A036765 42.4065 [x/(x+1)/(1+x^2) revogf] A036765 9.88323 [-x^3*f(x)^3-f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A036766 34.8665 [x/(1+x+x^2+x^3+x^4) revogf] A036767 24.7798 [x/(x+1)/(1+x^2+x)/(x^2-x+1) revogf] A036769 29.2327 [x/(x+1)/(1+x^2)/(1+x^4) revogf] A036770 5.17392 [{(-8*n^3-48*n^2-94*n-60)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A036774 10.8151 [-f(x)^2*x-2*f(x)*x+2*f(x)-2*x egf] A036774 4.28248 [{(n^3+3*n^2+2*n)*a(n)+(2*n^2+7*n+6)*a(n+1)+(-n-3)*a(n+2),a(0)=0,a(1)=1} ogf] A036774 41.9402 [2*x/(2+2*x+x^2) revegf] A036775 10.8789 [f(x)^3*x+3*f(x)^2*x+6*f(x)*x-6*f(x)+6*x egf] A036775 25.8757 [6*x/(6+6*x+3*x^2+x^3) revegf] A036776 17.6219 [24*x/(24+24*x+12*x^2+4*x^3+x^4) revegf] A036777 13.3239 [120*x/(120+120*x+x^5+60*x^2+20*x^3+5*x^4) revegf] A036799 17.3226 [-2*x/(x-1)/(2*x-1)^2 ogf] A036799 32.0506 [-(-5+6*x)/(-1+2*x)/(x-1) lgdogf] A036799 6.95996 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=10} ogf] A036799 7.87389 [(5*f(x)+2)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-f(x)+2*x) ogf] A036800 17.3765 [-3*(-3+4*x^2)/(x-1)/(2*x+1)/(-1+2*x) lgdogf] A036800 4.63744 [-(6122*f(x)+5185)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x-4*x^2+f(x)-2*x) ogf] A036800 9.48254 [2*x*(2*x+1)/(x-1)/(2*x-1)^3 ogf] A036820 16.0293 [-(x^4+x^3+1)/(x^5-1) ogf_with_Euler_transform] A036826 11.2578 [x*(2*x+1)/(x-1)/(2*x-1)^3 ogf] A036826 21.2621 [-3*(-3+4*x^2)/(x-1)/(2*x+1)/(2*x-1) lgdogf] A036826 3.80947 [{(n+3)*a(n+4)+(-11-n)*a(n+3)+(-4-4*n)*a(n+2)+(12+4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=45} ogf] A036826 5.46576 [-(12244*f(x)+5185)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x-2*x^2+f(x)-x) ogf] A036827 12.3897 [-(-17-46*x+24*x^3+52*x^2)/(x-1)/(2*x-1)/(4*x^2+8*x+1) lgdogf] A036827 7.74777 [-2*x*(4*x^2+8*x+1)/(x-1)/(2*x-1)^4 ogf] A036828 13.5496 [-(-17-46*x+24*x^3+52*x^2)/(x-1)/(-1+2*x)/(4*x^2+8*x+1) lgdogf] A036828 8.72428 [-x*(4*x^2+8*x+1)/(x-1)/(2*x-1)^4 ogf] A036829 13.9097 [1/2*(216*x^2+1+36*x+(1+8*x)^(1/2))*x/(9*x+1)^3 revogf] A036829 3.60621 [{(-729*n^2-729*n-162)*a(n)+(216*n^2+378*n+186)*a(n+1)+(-16*n^2-40*n-24)*a(n+2),a(0)=0,a(1)=1,a(2)=7} ogf] A036829 4.38594 [729*f(x)^3*x^2-216*f(x)^3*x+243*f(x)^2*x^2+16*f(x)^3-36*f(x)^2*x+27*f(x)*x^2-f(x)*x+x^2 ogf] A036837 3.93012 [-(x^9-5*x^8+10*x^7-10*x^6+5*x^5-2*x^4+5*x^3-10*x^2+9*x-4)/(x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A036908 4.60264 [{9*a(n)*n+(3*n+9)*a(n+1)+(-5*n-12)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A036908 6.88359 [9*f(x)^2*x^2-6*f(x)^2*x-3*f(x)*x^2+f(x)^2+4*f(x)*x+x^2-f(x) ogf] A036909 29.4770 [x*(x+1)^2/(3*x+2)^3 revogf] A036909 4.42755 [{(-54*n^2-270*n-336)*a(n+1)+(2*n^2+11*n+15)*a(n+2),a(0)=8,a(1)=160} ogf] A036909 4.92374 [27*x^3*f(x)^3-f(x)^3*x^2+54*f(x)^2*x^2-2*f(x)^2*x+36*f(x)*x-f(x)+8 ogf] A036917 2.98478 [{(-256*n^3-1536*n^2-3072*n-2048)*a(n+1)+(32*n^3+240*n^2+608*n+520)*a(n+2)+(-n^3-9*n^2-27*n-27)*a(n+3),a(0)=1,a(1)=8,a(2)=88} ogf] A036918 25.0078 [(5-4*x+x^2)/(x-1)/(x-2) lgdegf] A036918 3.22744 [{(n+2)*a(n+1)+(-2*n-8)*a(n+2)+(n+7)*a(n+3)-a(n+4),a(0)=0,a(1)=2,a(2)=10,a(3)=48} ogf] A036919 24.2263 [(5-4*x+x^2)/(x-1)/(x-2) lgdegf] A036919 3.14552 [{(n+2)*a(n+1)+(-2*n-8)*a(n+2)+(n+7)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=24} ogf] A036973 16.6753 [-4*(4+7*x+6*x^2)/(4*x-1)/(4*x^2+2*x+1) lgdogf] A036973 3.18285 [{(n+3)*a(n+4)+(-20-2*n)*a(n+3)+(-32-4*n)*a(n+2)+(-24-16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=16,a(3)=158} ogf] A036982 6.87135 [-(510*x^9-256*x^8-128*x^7-64*x^6-32*x^5-16*x^4-8*x^3-4*x^2-3*x-1)/(x-1)^2 ogf] A036988 5.69709 [-(x^24+x^20+x^18+x^16+x^12+x^10+x^8+x^4+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x^16+1) ogf] A036999 12.9046 [-(3-4*x+2*x^4+2*x^3-2*x^2)/(x-1)/(x^2+x-1)/(2*x^2+x-2) lgdogf] A036999 13.4164 [-3*(2*x^2+x-2)/(x-1)/(x^2+x-1) ogf] A036999 7.25581 [-(f(x)-18)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)+3*x-6) ogf] A036999 7.48495 [{-a(n+3)+2*a(n+2)-a(n),a(0)=6,a(1)=9,a(2)=12} ogf] A037078 10.4389 [-(-2+24*x^5-6*x-4*x^3+15*x^4-9*x^2)/(x-1)/(2*x+1)/(x^2+x+1)/(3*x^2-1) lgdogf] A037078 11.9842 [x*(2*x+1)/(x-1)/(x^2+x+1)/(3*x^2-1) ogf] A037079 5.57872 [-(-2-6*x+9*x^10+2*x^7+8*x^2-10*x^3+7*x^4-10*x^5-18*x^9+12*x^6+26*x^8)/(x-1)/(x^2+x+1)/(x^2-x+1)/(3*x^2-1)/(x^4-x^3+x^2+x+1) lgdogf] A037079 6.16681 [x*(x^4-x^3+x^2+x+1)/(x-1)/(3*x^2-1)/(x^2+x+1)/(x^2-x+1) ogf] A037087 7.22911 [x*(2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A037123 5.93554 [x*(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A037124 7.42288 [-(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(10*x^9-1) ogf] A037140 12.7758 [-(3*x+5)/(x^2+x-1)/(x-1)^2 ogf] A037140 13.6629 [-(-18+2*x+23*x^2+9*x^3)/(x-1)/(3*x+5)/(x^2+x-1) lgdogf] A037140 4.16752 [{(-8*n-37)*a(n+1)-8*a(n+2)+(16*n+66)*a(n+3)+(-8*n-29)*a(n+4),a(0)=5,a(1)=18,a(2)=44,a(3)=91} ogf] A037140 5.73034 [-(1543792*f(x)-352891)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+3*x+5) ogf] A037141 10.3250 [-(7-13*x+24*x^3-12*x^2)/(-1+x)/(8*x-5)/(x^2+x-1) lgdogf] A037141 12.9413 [(8*x-5)/(x^2+x-1)/(x-1)^2 ogf] A037141 4.31377 [{(3*n+7)*a(n+1)+3*a(n+2)+(-6*n-11)*a(n+3)+(3*n+4)*a(n+4),a(0)=5,a(1)=7,a(2)=11,a(3)=14} ogf] A037141 6.02611 [-(663*f(x)-18986)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-8*x+5) ogf] A037145 13.3328 [[x^5+x^4+x^3+x^2+x] ogf_with_Euler_transform] A037145 4.97436 [-1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A037147 9.47473 [-(87733*f(x)-87731)*(43866*x^3+f(x)*x-f(x)+1) ogf] A037149 6.34194 [-(17755965103430895*f(x)-17755621888057007)*(53678262*x^3+f(x)*x+690*x^2-f(x)+1) ogf] A037156 5.04245 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=1,a(1)=55} ogf] A037156 6.32799 [-(162*f(x)-41)*(1000*f(x)*x^2-110*f(x)*x+f(x)+55*x-1) ogf] A037156 8.49954 [-5*(11-400*x+11000*x^2)/(100*x-1)/(10*x-1)/(55*x-1) lgdogf] A037156 8.70071 [-(55*x-1)/(100*x-1)/(10*x-1) ogf] A037157 11.1464 [-(5*x+8)/(x^2+x-1)/(x-1)^2 ogf] A037157 13.8790 [-(-29+3*x+37*x^2+15*x^3)/(5*x+8)/(x-1)/(x^2+x-1) lgdogf] A037157 3.54130 [{(13*n+60)*a(n+1)+13*a(n+2)+(-26*n-107)*a(n+3)+(13*n+47)*a(n+4),a(0)=8,a(1)=29,a(2)=71,a(3)=147} ogf] A037157 5.0741 [(28188654*f(x)-8553605)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+5*x+8) ogf] A037158 12.1792 [(21*x-13)/(x^2+x-1)/(x-1)^2 ogf] A037158 15.0506 [-(18-34*x+63*x^3-31*x^2)/(x-1)/(21*x-13)/(x^2+x-1) lgdogf] A037158 4.08131 [{(8*n+19)*a(n+1)+8*a(n+2)+(-16*n-30)*a(n+3)+(8*n+11)*a(n+4),a(0)=13,a(1)=18,a(2)=28,a(3)=35} ogf] A037158 5.52005 [-(225392*f(x)-14884237)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-21*x+13) ogf] A037182 10.2598 [45*x/(100*x-1)/(10*x-1) ogf] A037182 10.3209 [-1/400*(-9-22*x+3*(9+44*x+36*x^2)^(1/2))/x revogf] A037182 12.7493 [-10*(-11+200*x)/(10*x-1)/(100*x-1) lgdogf] A037182 5.07093 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=0,a(1)=45} ogf] A037182 9.49901 [-1000*f(x)*x^2+110*f(x)*x-f(x)+45*x ogf] A037184 3.01336 [{(-n^2-11*n-30)*a(n+1)+(-n^2-10*n-24)*a(n+2)+(n+3)*a(n+3),a(0)=6,a(1)=48,a(2)=420} ogf] A037206 3.22638 [x*(x^4-8*x-1)/(x-1)^3/(x+1)^3 ogf] A037220 3.87484 [x*(98010*x^9+9900990*x^8-10001000*x^7-1020810091*x^6-100010*x^5-10209100*x^4-101082*x^3-20*x^2-1001*x-10)/(x-1) ogf] A037223 4.85750 [{(-n^2-4*n-4)*a(n+1)+a(n+2)+(n+1)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A037235 12.7498 [x*(3*x^2+1)/(x-1)^4 ogf] A037235 25.5433 [-2*(2+3*x+3*x^2)/(x-1)/(3*x^2+1) lgdogf] A037235 4.22826 [{(n+3)*a(n+4)+(-6-n)*a(n+3)+(-3+3*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=13} ogf] A037235 6.47451 [(212*f(x)+25)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+f(x)-x) ogf] A037236 20.9063 [-4*(3+x+x^2)/(x-1)/(2*x^2+3) lgdogf] A037236 4.54152 [(8875*f(x)+15239)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-3) ogf] A037236 9.22278 [(2*x^2+3)/(x-1)^4 ogf] A037237 22.2432 [-2*(6+x+x^2)/(x-1)/(x^2+3) lgdogf] A037237 4.52236 [(2488*f(x)+4339)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-3) ogf] A037237 9.11428 [(x^2+3)/(x-1)^4 ogf] A037240 5.09662 [(x^6+x^5+5*x^4+3*x^3+x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A037240 5.17709 [-(1+10*x+95*x^6+96*x^5+62*x^7+66*x^4+53*x^3+16*x^8+7*x^9+26*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+5*x^4+3*x^3+x^2+1) lgdogf] A037241 3.95967 [(4*x^8+8*x^7+15*x^6+13*x^5+15*x^4+7*x^3+3*x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A037242 4.07214 [(x^8+x^7+2*x^6+4*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A037250 11.7414 [-3*(15+31*x+x^3+13*x^2)/(x-1)/(x^3+9*x^2+15*x+5) lgdogf] A037250 3.60873 [{(n^2+n)*a(n)+(-2*n^2-4*n-30)*a(n+1)+(n^2+3*n)*a(n+2),a(0)=0,a(1)=0,a(2)=20} ogf] A037250 5.32879 [4*x^2*(x^3+9*x^2+15*x+5)/(x-1)^6 ogf] A037251 3.74871 [24*x^2*(7*x^4+61*x^3+100*x^2+39*x+3)/(x-1)^8 ogf] A037251 7.46265 [-(63+473*x+28*x^4+333*x^3+783*x^2)/(x-1)/(7*x^4+61*x^3+100*x^2+39*x+3) lgdogf] A037255 21.3042 [-(4+2*x^3+9*x^2)/(x-1)/(x^3+2*x^2-x+1) lgdogf] A037255 4.48469 [{(-22*n^2-108*n-128)*a(n+1)+(31*n^2+49*n-118)*a(n+2)+(-9*n^2+7*n+50)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A037255 9.01867 [-x*(x^3+2*x^2-x+1)/(x-1)^5 ogf] A037256 3.61684 [{(2*n^2+10*n+12)*a(n+1)+(n^2+3*n)*a(n+2)+(-2*n-6)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=10} ogf] A037269 4.21119 [(x^8-x^6+x^4-x^2+1)*(x^16+x^14-x^10-x^8-x^6+x^2+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A037270 12.8965 [-2*(5+15*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A037270 3.45407 [{(n^2+2*n)*a(n+1)+(-2*n^2-8*n-36)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=1,a(2)=10} ogf] A037270 6.49062 [-x*(x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A037344 6.35280 [-(10*x^16-11*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A037374 4.28683 [-(19*x^20-16*x^19+17*x^18-17*x^17+17*x^16-17*x^15+2*x^14-x^13-x^11-3*x^10+17*x^4-16*x^3+2*x^2-3*x-1)/(x-1)^2 ogf] A037451 14.4017 [-(-3-14*x+2*x^5+3*x^4+4*x^3+12*x^2)/(x^2+1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A037451 14.5571 [x*(x^2+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A037451 7.16826 [-(371*f(x)+83)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-x^3-3*f(x)*x+f(x)-x) ogf] A037459 4.43051 [(7*x^15+x^14+x^13+x^12+2*x^11+x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A037460 4.58291 [x*(15*x^15+x^14+x^13+x^12+3*x^11+x^10+x^9+x^8+3*x^7+x^6+x^5+x^4+3*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A037461 4.23764 [(25*x^15+x^14+x^13+x^12+4*x^11+x^10+x^9+x^8+4*x^7+x^6+x^5+x^4+4*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A037462 4.55591 [x*(37*x^15+x^14+x^13+x^12+5*x^11+x^10+x^9+x^8+5*x^7+x^6+x^5+x^4+5*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A037463 4.51737 [x*(51*x^15+x^14+x^13+x^12+6*x^11+x^10+x^9+x^8+6*x^7+x^6+x^5+x^4+6*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A037479 6.93033 [(2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A037480 11.5394 [(2*x+1)/(x-1)/(3*x-1)/(x+1) ogf] A037480 11.7394 [-(-5-2*x+7*x^2+12*x^3)/(x-1)/(-1+3*x)/(1+2*x)/(x+1) lgdogf] A037480 5.41227 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=5,a(2)=16} ogf] A037480 5.55988 [-(197*f(x)-21)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A037481 10.9838 [x*(2*x+1)/(x-1)/(4*x-1)/(x+1) ogf] A037481 12.5825 [-2*(-3-x+5*x^2+8*x^3)/(x-1)/(4*x-1)/(2*x+1)/(x+1) lgdogf] A037481 5.44414 [-(423*f(x)-154)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x-2*x^2+f(x)-x) ogf] A037481 5.64032 [{-a(n+3)+4*a(n+2)+a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A037482 11.7226 [(2*x+1)/(x-1)/(5*x-1)/(x+1) ogf] A037482 11.9399 [-(-7-2*x+20*x^3+13*x^2)/(x-1)/(2*x+1)/(5*x-1)/(x+1) lgdogf] A037482 5.49822 [{a(n+3)-5*a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=7,a(2)=36} ogf] A037482 5.49823 [-(19141*f(x)+395)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+f(x)-2*x-1) ogf] A037483 11.5462 [(2*x+1)/(x-1)/(6*x-1)/(x+1) ogf] A037483 11.9954 [-2*(-4-x+12*x^3+8*x^2)/(x-1)/(6*x-1)/(2*x+1)/(x+1) lgdogf] A037483 5.41548 [{a(n+3)-6*a(n+2)-a(n+1)+6*a(n),a(0)=1,a(1)=8,a(2)=49} ogf] A037483 5.46383 [-(5003*f(x)+156)*(6*f(x)*x^3-f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A037484 10.0457 [-(-9-2*x+28*x^3+19*x^2)/(x-1)/(1+2*x)/(7*x-1)/(x+1) lgdogf] A037484 4.59746 [-(93189*f(x)+3227)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+f(x)-2*x-1) ogf] A037484 4.63814 [{a(n+3)-7*a(n+2)-a(n+1)+7*a(n),a(0)=1,a(1)=9,a(2)=64} ogf] A037484 9.88887 [(2*x+1)/(x-1)/(7*x-1)/(x+1) ogf] A037485 4.27272 [-(175543*f(x)+6176)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A037485 4.31020 [{a(n+3)-8*a(n+2)-a(n+1)+8*a(n),a(0)=1,a(1)=10,a(2)=81} ogf] A037485 9.27100 [(2*x+1)/(x-1)/(8*x-1)/(x+1) ogf] A037485 9.40787 [-2*(-5-x+16*x^3+11*x^2)/(x-1)/(1+2*x)/(8*x-1)/(x+1) lgdogf] A037486 3.91722 [{a(n+3)-9*a(n+2)-a(n+1)+9*a(n),a(0)=1,a(1)=11,a(2)=100} ogf] A037486 3.95159 [-(34181*f(x)+1179)*(9*f(x)*x^3-f(x)*x^2-9*f(x)*x+f(x)-2*x-1) ogf] A037486 8.28580 [-(-11-2*x+36*x^3+25*x^2)/(-1+x)/(9*x-1)/(2*x+1)/(x+1) lgdogf] A037486 8.49962 [(2*x+1)/(x-1)/(9*x-1)/(x+1) ogf] A037487 12.6910 [(2*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A037487 5.96585 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=12,a(2)=121} ogf] A037487 6.01729 [-(46281*f(x)+1540)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+f(x)-2*x-1) ogf] A037487 7.89927 [-2*(-6-x+20*x^3+14*x^2)/(-1+x)/(2*x+1)/(10*x-1)/(x+1) lgdogf] A037488 11.7823 [(x+2)/(x-1)/(3*x-1)/(x+1) ogf] A037488 12.7414 [-(-7-4*x+17*x^2+6*x^3)/(x-1)/(3*x-1)/(x+2)/(x+1) lgdogf] A037488 5.52622 [{-a(n+3)+3*a(n+2)+a(n+1)-3*a(n),a(0)=2,a(1)=7,a(2)=23} ogf] A037488 5.83609 [(193*f(x)-282)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-x-2) ogf] A037489 11.7729 [(x+2)/(x-1)/(4*x-1)/(x+1) ogf] A037489 12.4780 [-(-9-4*x+23*x^2+8*x^3)/(x-1)/(-1+4*x)/(x+2)/(x+1) lgdogf] A037489 5.52180 [{-a(n+3)+4*a(n+2)+a(n+1)-4*a(n),a(0)=2,a(1)=9,a(2)=38} ogf] A037489 5.62129 [(15207*f(x)-15272)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-x-2) ogf] A037490 12.0142 [(x+2)/(x-1)/(5*x-1)/(x+1) ogf] A037490 12.4878 [-(-11-4*x+29*x^2+10*x^3)/(x-1)/(5*x-1)/(x+2)/(x+1) lgdogf] A037490 5.58556 [{-a(n+3)+5*a(n+2)+a(n+1)-5*a(n),a(0)=2,a(1)=11,a(2)=57} ogf] A037490 5.73653 [(23633*f(x)-18220)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+f(x)-x-2) ogf] A037491 10.6829 [(x+2)/(x-1)/(6*x-1)/(x+1) ogf] A037491 4.96661 [{-a(n+3)+6*a(n+2)+a(n+1)-6*a(n),a(0)=2,a(1)=13,a(2)=80} ogf] A037491 5.14721 [(13211*f(x)-8292)*(6*f(x)*x^3-f(x)*x^2-6*f(x)*x+f(x)-x-2) ogf] A037492 10.1667 [(x+2)/(x-1)/(7*x-1)/(x+1) ogf] A037492 10.5411 [-(-15-4*x+14*x^3+41*x^2)/(x-1)/(7*x-1)/(x+2)/(x+1) lgdogf] A037492 4.68550 [{-a(n+3)+7*a(n+2)+a(n+1)-7*a(n),a(0)=2,a(1)=15,a(2)=107} ogf] A037492 4.811 [(129429*f(x)-68614)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+f(x)-x-2) ogf] A037493 4.37325 [{-a(n+3)+8*a(n+2)+a(n+1)-8*a(n),a(0)=2,a(1)=17,a(2)=138} ogf] A037493 4.45066 [(507319*f(x)-232976)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x+f(x)-x-2) ogf] A037493 9.48913 [(x+2)/(x-1)/(8*x-1)/(x+1) ogf] A037493 9.82726 [-(-17-4*x+16*x^3+47*x^2)/(x-1)/(8*x-1)/(x+2)/(x+1) lgdogf] A037494 4.04040 [{-a(n+3)+9*a(n+2)+a(n+1)-9*a(n),a(0)=2,a(1)=19,a(2)=173} ogf] A037494 4.18601 [(50989*f(x)-20664)*(9*f(x)*x^3-f(x)*x^2-9*f(x)*x+f(x)-x-2) ogf] A037494 8.76691 [(x+2)/(x-1)/(9*x-1)/(x+1) ogf] A037494 8.88850 [-(-19-4*x+18*x^3+53*x^2)/(-1+x)/(9*x-1)/(2+x)/(x+1) lgdogf] A037495 3.67309 [{-a(n+3)+10*a(n+2)+a(n+1)-10*a(n),a(0)=2,a(1)=21,a(2)=212} ogf] A037495 3.70475 [(1559091*f(x)-565580)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+f(x)-x-2) ogf] A037495 7.81365 [(x+2)/(x-1)/(10*x-1)/(x+1) ogf] A037495 8.05117 [-(-21-4*x+20*x^3+59*x^2)/(-1+x)/(10*x-1)/(2+x)/(x+1) lgdogf] A037496 11.4891 [(2*x^2+1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037496 5.8998 [(349*f(x)+398)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-2*x^2+f(x)-1) ogf] A037496 9.30211 [-(-3-4*x-2*x^4+12*x^3+12*x^5+3*x^2)/(x-1)/(3*x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A037497 11.5413 [(2*x^2+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037497 5.62271 [(189585*f(x)+119312)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-2*x^2+f(x)-1) ogf] A037497 9.21634 [-(-4-4*x+16*x^5+5*x^2+16*x^3-2*x^4)/(x-1)/(-1+4*x)/(x^2+x+1)/(1+2*x^2) lgdogf] A037498 10.7915 [(2*x^2+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037498 5.39577 [(10751*f(x)+4270)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-2*x^2+f(x)-1) ogf] A037498 8.73555 [-(-5-4*x+7*x^2+20*x^3-2*x^4+20*x^5)/(x-1)/(5*x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A037499 10.6291 [(2*x^2+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037499 5.26835 [(38041*f(x)+10424)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-2*x^2+f(x)-1) ogf] A037499 8.60408 [-(-6-4*x+9*x^2+24*x^3-2*x^4+24*x^5)/(x-1)/(6*x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A037500 4.37954 [(9038817*f(x)+1818110)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-2*x^2+f(x)-1) ogf] A037500 7.27697 [-(-7-4*x+28*x^5-2*x^4+28*x^3+11*x^2)/(x-1)/(7*x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A037500 9.14326 [(2*x^2+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037501 4.11511 [(2560521*f(x)+395552)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-2*x^2+f(x)-1) ogf] A037501 6.77172 [-(-8-4*x-2*x^4+32*x^3+32*x^5+13*x^2)/(x-1)/(8*x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A037501 8.51898 [(2*x^2+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037502 12.5520 [(2*x^2+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037502 6.16778 [(650755*f(x)+79902)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-2*x^2+f(x)-1) ogf] A037502 9.90541 [-(-9-4*x+36*x^5-2*x^4+36*x^3+15*x^2)/(-1+x)/(9*x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A037503 3.46574 [(110601081*f(x)+11087240)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-2*x^2+f(x)-1) ogf] A037503 5.73508 [-(-10-4*x+40*x^5-2*x^4+40*x^3+17*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(1+2*x^2) lgdogf] A037503 7.28392 [(2*x^2+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037504 10.5037 [-(-5-3*x^2+8*x^3+18*x^4)/(1+2*x)/(-1+3*x)/(x-1)/(x^2+x+1) lgdogf] A037504 11.5394 [(2*x+1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037504 5.50979 [-(649*f(x)+252)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x+f(x)-2*x-1) ogf] A037505 11.6907 [-3*(-2+4*x^3+8*x^4-x^2)/(x-1)/(2*x+1)/(-1+4*x)/(x^2+x+1) lgdogf] A037505 12.5923 [(2*x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037505 5.75337 [-(337041*f(x)+69472)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-2*x-1) ogf] A037506 10.6831 [-(-7+30*x^4+16*x^3-3*x^2)/(5*x-1)/(2*x+1)/(x-1)/(x^2+x+1) lgdogf] A037506 11.7226 [(2*x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037506 5.26525 [-(1463331*f(x)+208900)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-2*x-1) ogf] A037507 10.5223 [-(-8+36*x^4+20*x^3-3*x^2)/(2*x+1)/(6*x-1)/(x-1)/(x^2+x+1) lgdogf] A037507 11.5462 [(2*x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037507 5.36797 [-(60697*f(x)+6840)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-2*x-1) ogf] A037508 4.36758 [-(13792797*f(x)+1311436)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-2*x-1) ogf] A037508 9.14880 [-3*(-3+14*x^4+8*x^3-x^2)/(7*x-1)/(1+2*x)/(x-1)/(x^2+x+1) lgdogf] A037508 9.88887 [(2*x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037509 4.09469 [-(33858129*f(x)+2818432)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-2*x-1) ogf] A037509 8.27244 [-(-10+48*x^4+28*x^3-3*x^2)/(8*x-1)/(1+2*x)/(x-1)/(x^2+x+1) lgdogf] A037509 9.27100 [(2*x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037510 3.85903 [-(925831*f(x)+69012)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-2*x-1) ogf] A037510 7.39516 [-(-11+54*x^4+32*x^3-3*x^2)/(-1+x)/(2*x+1)/(9*x-1)/(x^2+x+1) lgdogf] A037510 8.44617 [(2*x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037511 3.46574 [-(153081081*f(x)+10372600)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-2*x-1) ogf] A037511 7.09595 [-3*(-4+20*x^4+12*x^3-x^2)/(10*x-1)/(2*x+1)/(-1+x)/(1+x^2+x) lgdogf] A037511 7.81365 [(2*x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037512 10.8425 [(x^2+2)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037512 5.51807 [(604*f(x)-1499)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-x^2+f(x)-2) ogf] A037512 9.45546 [-(-6-2*x-3*x^2+24*x^3-x^4+6*x^5)/(x-1)/(3*x-1)/(x^2+x+1)/(x^2+2) lgdogf] A037513 10.7817 [(x^2+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037513 5.03735 [-(796527*f(x)-1262728)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-2) ogf] A037513 9.40647 [-(-8-2*x-2*x^2+32*x^3-x^4+8*x^5)/(4*x-1)/(x-1)/(x^2+x+1)/(x^2+2) lgdogf] A037514 11.1169 [(x^2+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037514 5.23689 [-(220683*f(x)-257045)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-2) ogf] A037514 9.70780 [-(-10-2*x+10*x^5-x^4+40*x^3-x^2)/(x-1)/(5*x-1)/(x^2+x+1)/(x^2+2) lgdogf] A037515 10.8962 [(x^2+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037515 5.13291 [-(180839*f(x)-166348)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-2) ogf] A037515 9.98203 [-(-12-2*x+12*x^5-x^4+48*x^3)/(x-1)/(-1+6*x)/(x^2+x+1)/(x^2+2) lgdogf] A037516 4.26355 [-(21984030*f(x)-16697807)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-2) ogf] A037516 9.34989 [(x^2+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037517 4.05584 [-(12627447*f(x)-8163472)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-2) ogf] A037517 7.44489 [-(-16-2*x+16*x^5-x^4+64*x^3+2*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(x^2+2) lgdogf] A037517 8.82323 [(x^2+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037518 11.5625 [(x^2+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037518 5.40214 [-(1618501*f(x)-910449)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-2) ogf] A037518 6.72359 [-(-18-2*x+18*x^5-x^4+72*x^3+3*x^2)/(-1+x)/(9*x-1)/(x^2+x+1)/(x^2+2) lgdogf] A037519 3.33141 [-(553238919*f(x)-275369620)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-2) ogf] A037519 6.15678 [-(-20-2*x+20*x^5-x^4+80*x^3+4*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(x^2+2) lgdogf] A037519 7.28392 [(x^2+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037520 11.0612 [-(-7-6*x^2+22*x^3+9*x^4)/(-1+x)/(3*x-1)/(x+2)/(x^2+x+1) lgdogf] A037520 11.7216 [(x+2)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037520 5.49773 [-(2188*f(x)+2691)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x+f(x)-x-2) ogf] A037521 10.6167 [-3*(-3-2*x^2+10*x^3+4*x^4)/(x-1)/(x+2)/(-1+4*x)/(x^2+x+1) lgdogf] A037521 11.6546 [(x+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037521 5.19069 [-(1184913*f(x)+1159472)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-x-2) ogf] A037522 11.1498 [-(-11-6*x^2+38*x^3+15*x^4)/(x+2)/(5*x-1)/(x-1)/(x^2+x+1) lgdogf] A037522 12.0142 [(x+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037522 5.35088 [-(5260206*f(x)+4337075)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-x-2) ogf] A037523 10.6829 [(x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037523 4.83926 [-(221401*f(x)+158508)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-x-2) ogf] A037524 10.1667 [(x+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037524 4.45316 [-(50852232*f(x)+32234699)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-x-2) ogf] A037524 9.41169 [-3*(-5+18*x^3-2*x^2+7*x^4)/(x+2)/(7*x-1)/(x-1)/(x^2+x+1) lgdogf] A037525 4.12233 [-(125870673*f(x)+71650496)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-x-2) ogf] A037525 8.77434 [-(-17+24*x^4+62*x^3-6*x^2)/(x+2)/(8*x-1)/(x-1)/(x^2+x+1) lgdogf] A037525 9.48913 [(x+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037526 6.85744 [-(3464938*f(x)+1790667)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-x-2) ogf] A037526 7.95287 [-(-19+27*x^4+70*x^3-6*x^2)/(2+x)/(9*x-1)/(-1+x)/(x^2+x+1) lgdogf] A037526 8.76691 [(x+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037527 11.6275 [-3*(-7+10*x^4+26*x^3-2*x^2)/(2+x)/(10*x-1)/(-1+x)/(1+x^2+x) lgdogf] A037527 12.6910 [(x+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037527 5.58405 [-(576081081*f(x)+272672300)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-x-2) ogf] A037528 5.19972 [(48238*f(x)+651)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-2*x^2+f(x)-x-1) ogf] A037528 9.97325 [(2*x^2+x+1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037529 10.7845 [(2*x^2+x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037529 5.62271 [(18561*f(x)-512)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-2*x^2+f(x)-x-1) ogf] A037529 8.83759 [-(-5-4*x+16*x^5+5*x^2+14*x^3+10*x^4)/(x-1)/(-1+4*x)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A037530 10.1346 [(2*x^2+x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037530 4.94567 [-(1264516*f(x)-48605)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-2*x^2+f(x)-x-1) ogf] A037530 8.41450 [-(-6-4*x+13*x^4+18*x^3+20*x^5+7*x^2)/(x-1)/(5*x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A037531 4.96607 [-(37615*f(x)-1524)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-2*x^2+f(x)-x-1) ogf] A037531 8.24558 [-(-7-4*x+9*x^2+22*x^3+16*x^4+24*x^5)/(x-1)/(6*x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A037531 9.93211 [(2*x^2+x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037532 4.10367 [-(11784810*f(x)-467453)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-2*x^2+f(x)-x-1) ogf] A037532 6.97792 [-(-8-4*x+28*x^5+19*x^4+26*x^3+11*x^2)/(x-1)/(7*x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A037532 8.54370 [(2*x^2+x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037533 11.2298 [(2*x^2+x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037533 5.48014 [-(1807873*f(x)-68384)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-2*x^2+f(x)-x-1) ogf] A037533 6.49343 [-(-9-4*x+22*x^4+30*x^3+32*x^5+13*x^2)/(x-1)/(8*x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A037534 3.49725 [-(64152016*f(x)-2291157)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-2*x^2+f(x)-x-1) ogf] A037534 5.81752 [-(-10-4*x+36*x^5+25*x^4+34*x^3+15*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A037534 7.33848 [(2*x^2+x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037535 3.35743 [-(8201001*f(x)-275660)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-2*x^2+f(x)-x-1) ogf] A037535 5.50870 [-(-11-4*x+40*x^5+28*x^4+38*x^3+17*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(x+1+2*x^2) lgdogf] A037535 6.82144 [(2*x^2+x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037536 10.0260 [(x+1)^2/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037536 10.1477 [-(-5+3*x-3*x^2+11*x^3+6*x^4)/(x-1)/(-1+3*x)/(x+1)/(x^2+x+1) lgdogf] A037536 5.31814 [(977*f(x)+516)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-x^2+f(x)-2*x-1) ogf] A037537 10.0747 [(x+1)^2/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037537 10.3796 [-(-6+4*x-3*x^2+15*x^3+8*x^4)/(x-1)/(4*x-1)/(x+1)/(x^2+x+1) lgdogf] A037537 5.25262 [(4709*f(x)+2120)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-2*x-1) ogf] A037538 10.1852 [(x+1)^2/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037538 10.3209 [-(-7+5*x+10*x^4+19*x^3-3*x^2)/(x-1)/(5*x-1)/(x+1)/(x^2+x+1) lgdogf] A037538 5.31025 [(8107*f(x)+3120)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-2*x-1) ogf] A037539 10.0320 [(x+1)^2/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037539 10.1656 [-(-8+6*x+12*x^4+23*x^3-3*x^2)/(x-1)/(6*x-1)/(x+1)/(x^2+x+1) lgdogf] A037539 5.18601 [(22501*f(x)+7518)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-2*x-1) ogf] A037540 4.44161 [(21487*f(x)+6328)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-2*x-1) ogf] A037540 8.59197 [(x+1)^2/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037540 8.68360 [-(-9+7*x+14*x^4+27*x^3-3*x^2)/(x-1)/(7*x-1)/(x+1)/(x^2+x+1) lgdogf] A037541 4.09469 [(229427*f(x)+60336)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-2*x-1) ogf] A037541 7.99669 [-(-10+8*x+16*x^4+31*x^3-3*x^2)/(x-1)/(8*x-1)/(x+1)/(x^2+x+1) lgdogf] A037541 8.05513 [(x+1)^2/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037542 3.75401 [(224797*f(x)+53370)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-2*x-1) ogf] A037542 7.19914 [-(-11+9*x+18*x^4+35*x^3-3*x^2)/(-1+x)/(9*x-1)/(x+1)/(x^2+x+1) lgdogf] A037542 7.38492 [(x+1)^2/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037543 3.52255 [(411427*f(x)+88990)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-2*x-1) ogf] A037543 6.64541 [-(-12+10*x+20*x^4+39*x^3-3*x^2)/(-1+x)/(10*x-1)/(x+1)/(1+x^2+x) lgdogf] A037543 6.82144 [(x+1)^2/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037544 10.0788 [(2*x^2+2*x+1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037544 4.99842 [-(26111*f(x)+11364)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037544 8.24562 [-(-5-4*x+3*x^2+8*x^3+16*x^4+12*x^5)/(x-1)/(3*x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A037545 10.0747 [(2*x^2+2*x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037545 4.9561 [-(186791*f(x)+71696)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037545 8.13533 [-(-6-4*x+5*x^2+12*x^3+22*x^4+16*x^5)/(4*x-1)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A037546 10.1852 [(2*x^2+2*x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037546 5.221 [(33949*f(x)+10980)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037546 8.22885 [-(-7-4*x+28*x^4+16*x^3+20*x^5+7*x^2)/(5*x-1)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A037547 10.0320 [(2*x^2+2*x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037547 5.01598 [(2923535*f(x)+807024)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037547 8.10501 [-(-8-4*x+34*x^4+20*x^3+24*x^5+9*x^2)/(6*x-1)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A037548 4.40429 [(66679*f(x)+15988)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037548 6.83110 [-(-9-4*x+28*x^5+40*x^4+24*x^3+11*x^2)/(7*x-1)/(x-1)/(x^2+x+1)/(1+2*x^2+2*x) lgdogf] A037548 8.59197 [(2*x^2+2*x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037549 10.1658 [(2*x^2+2*x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037549 4.84466 [-(20696551*f(x)+4378464)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037549 6.31318 [-(-10-4*x+32*x^5+46*x^4+28*x^3+13*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A037550 3.63291 [(46243361*f(x)+8745156)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037550 5.70321 [-(-11-4*x+36*x^5+52*x^4+32*x^3+15*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A037550 7.38492 [(2*x^2+2*x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037551 3.46574 [(3802199*f(x)+649760)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A037551 5.36745 [-(-12-4*x+40*x^5+58*x^4+36*x^3+17*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(1+2*x^2+2*x) lgdogf] A037551 6.82144 [(2*x^2+2*x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037552 10.1843 [(x^2+x+2)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037552 5.09216 [-(3662*f(x)-14235)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-x^2+f(x)-x-2) ogf] A037552 8.81693 [-(-7-2*x-3*x^2+22*x^3+8*x^4+6*x^5)/(3*x-1)/(-1+x)/(x^2+x+1)/(x^2+x+2) lgdogf] A037553 10.1775 [(x^2+x+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037553 5.04738 [-(14255*f(x)-33416)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-x-2) ogf] A037553 8.68979 [-(-9-2*x-2*x^2+30*x^3+11*x^4+8*x^5)/(x-1)/(-1+4*x)/(x^2+x+1)/(x^2+x+2) lgdogf] A037554 10.4386 [(x^2+x+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037554 5.01382 [-(1185484*f(x)-1990485)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-x-2) ogf] A037554 9.04913 [-(-11+10*x^5-2*x-x^2+38*x^3+14*x^4)/(5*x-1)/(x-1)/(x^2+x+1)/(x^2+x+2) lgdogf] A037555 4.52955 [-(279800*f(x)-365781)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-x-2) ogf] A037555 9.28185 [(x^2+x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037556 4.17699 [-(13646582*f(x)-14598941)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-x-2) ogf] A037556 7.63847 [-(-15-2*x+54*x^3+x^2+20*x^4+14*x^5)/(7*x-1)/(x-1)/(x^2+x+1)/(x^2+x+2) lgdogf] A037556 8.83333 [(x^2+x+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037557 3.96004 [-(2228479*f(x)-2016720)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-x-2) ogf] A037557 6.92060 [-(-17-2*x+16*x^5+23*x^4+62*x^3+2*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(x^2+x+2) lgdogf] A037557 8.24466 [(x^2+x+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037558 3.60191 [-(82919360*f(x)-65005461)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-x-2) ogf] A037558 6.29602 [-(-19-2*x+18*x^5+26*x^4+70*x^3+3*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(x^2+x+2) lgdogf] A037558 7.61715 [(x^2+x+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037559 3.33141 [-(1571732*f(x)-1086635)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-x-2) ogf] A037559 5.73508 [-(-21-2*x+20*x^5+29*x^4+78*x^3+4*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(2+x^2+x) lgdogf] A037559 6.82144 [(x^2+x+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037560 10.2899 [(x^2+2*x+2)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037560 5.27463 [-(2356*f(x)+69)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-x^2+f(x)-2*x-2) ogf] A037560 8.53897 [-(-8-2*x-3*x^2+20*x^3+17*x^4+6*x^5)/(x-1)/(-1+3*x)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A037561 10.3317 [(x^2+2*x+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037561 5.20855 [(1584729*f(x)+80936)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-2*x-2) ogf] A037561 8.57905 [-(-10-2*x+23*x^4+28*x^3+8*x^5-2*x^2)/(x-1)/(4*x-1)/(x^2+x+1)/(2+2*x+x^2) lgdogf] A037562 10.4386 [(x^2+2*x+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037562 5.35088 [(141413*f(x)+8380)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-2*x-2) ogf] A037562 8.79423 [-(-12+10*x^5-2*x-x^2+36*x^3+29*x^4)/(5*x-1)/(x-1)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A037563 4.56608 [(24214705*f(x)+1479684)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-2*x-2) ogf] A037563 9.28185 [(x^2+2*x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037564 4.34542 [(17234127*f(x)+1037099)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-2*x-2) ogf] A037564 7.42331 [-(-16-2*x+52*x^3+x^2+41*x^4+14*x^5)/(7*x-1)/(x-1)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A037564 8.83333 [(x^2+2*x+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037565 4.12233 [(6849025*f(x)+397712)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-2*x-2) ogf] A037565 6.73100 [-(-18-2*x+16*x^5+47*x^4+60*x^3+2*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A037565 8.24466 [(x^2+2*x+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037566 3.68767 [(191472227*f(x)+10629288)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-2*x-2) ogf] A037566 6.12586 [-(-20-2*x+18*x^5+53*x^4+68*x^3+3*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A037566 7.61715 [(x^2+2*x+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037567 3.41072 [(31524201*f(x)+1666220)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-2*x-2) ogf] A037567 5.58215 [-(-22-2*x+20*x^5+59*x^4+76*x^3+4*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(x^2+2+2*x) lgdogf] A037567 6.82144 [(x^2+2*x+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037568 10.2371 [(2*x^2+x+2)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A037568 5.20385 [(130196*f(x)-69555)*(3*f(x)*x^4-f(x)*x^3-3*f(x)*x-2*x^2+f(x)-x-2) ogf] A037568 9.40903 [-(-7-4*x+22*x^3+7*x^4+12*x^5)/(3*x-1)/(x-1)/(x^2+x+1)/(2+x+2*x^2) lgdogf] A037569 10.2289 [(2*x^2+x+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037569 5.19969 [(279693*f(x)-91840)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-2*x^2+f(x)-x-2) ogf] A037569 8.37562 [-(-9-4*x+2*x^2+30*x^3+10*x^4+16*x^5)/(-1+4*x)/(x-1)/(x^2+x+1)/(2*x^2+x+2) lgdogf] A037570 10.4386 [(2*x^2+x+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037570 5.30629 [(146074*f(x)-32595)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-2*x^2+f(x)-x-2) ogf] A037570 8.55329 [-(-11+20*x^5-4*x+4*x^2+38*x^3+13*x^4)/(5*x-1)/(x-1)/(x^2+x+1)/(2*x^2+x+2) lgdogf] A037571 4.71828 [(492263*f(x)-79620)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-2*x^2+f(x)-x-2) ogf] A037571 9.28185 [(2*x^2+x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037572 4.34542 [(11547544*f(x)-1416905)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-2*x^2+f(x)-x-2) ogf] A037572 7.21993 [-(-15-4*x+54*x^3+8*x^2+19*x^4+28*x^5)/(7*x-1)/(x-1)/(x^2+x+1)/(2*x^2+x+2) lgdogf] A037572 8.83333 [(2*x^2+x+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037573 4.05584 [(85331431*f(x)-8218080)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-2*x^2+f(x)-x-2) ogf] A037573 6.64004 [-(-17-4*x+32*x^5+22*x^4+62*x^3+10*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(2*x^2+x+2) lgdogf] A037573 8.24466 [(2*x^2+x+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037574 3.68767 [(189620894*f(x)-14718195)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-2*x^2+f(x)-x-2) ogf] A037574 6.04418 [-(-19-4*x+36*x^5+25*x^4+70*x^3+12*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(2*x^2+x+2) lgdogf] A037574 7.61715 [(2*x^2+x+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037575 3.46574 [(5176733*f(x)-330780)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-2*x^2+f(x)-x-2) ogf] A037575 5.50870 [-(-21-4*x+40*x^5+28*x^4+78*x^3+14*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(2*x^2+x+2) lgdogf] A037575 6.82144 [(2*x^2+x+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037576 11.5954 [(3*x+1)/(x-1)/(4*x-1)/(x+1) ogf] A037576 12.0403 [-(-7-2*x+9*x^2+24*x^3)/(x-1)/(4*x-1)/(3*x+1)/(x+1) lgdogf] A037576 5.43855 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=7,a(2)=29} ogf] A037576 5.79771 [(183*f(x)-44)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-3*x-1) ogf] A037577 11.8393 [(3*x+1)/(x-1)/(5*x-1)/(x+1) ogf] A037577 12.3023 [-2*(-4-x+15*x^3+6*x^2)/(x-1)/(3*x+1)/(5*x-1)/(1+x) lgdogf] A037577 5.50422 [-(33336*f(x)-2345)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+f(x)-3*x-1) ogf] A037577 5.55293 [{a(n+3)-5*a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=8,a(2)=41} ogf] A037578 11.5462 [(3*x+1)/(x-1)/(6*x-1)/(x+1) ogf] A037578 11.7602 [-(-9-2*x+36*x^3+15*x^2)/(x-1)/(6*x-1)/(3*x+1)/(x+1) lgdogf] A037578 5.41548 [{a(n+3)-6*a(n+2)-a(n+1)+6*a(n),a(0)=1,a(1)=9,a(2)=55} ogf] A037578 5.56317 [-(4874*f(x)-9)*(6*f(x)*x^3-f(x)*x^2-6*f(x)*x+f(x)-3*x-1) ogf] A037579 13.7055 [(3*x+1)/(x-1)/(7*x-1)/(x+1) ogf] A037579 14.2806 [-2*(-5-x+21*x^3+9*x^2)/(x-1)/(3*x+1)/(7*x-1)/(x+1) lgdogf] A037579 6.31648 [-(160068*f(x)+4711)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+f(x)-3*x-1) ogf] A037579 6.37188 [{a(n+3)-7*a(n+2)-a(n+1)+7*a(n),a(0)=1,a(1)=10,a(2)=71} ogf] A037580 13.0397 [(3*x+1)/(x-1)/(8*x-1)/(x+1) ogf] A037580 13.0563 [-(-11-2*x+48*x^3+21*x^2)/(x-1)/(8*x-1)/(3*x+1)/(x+1) lgdogf] A037580 6.06233 [{a(n+3)-8*a(n+2)-a(n+1)+8*a(n),a(0)=1,a(1)=11,a(2)=89} ogf] A037580 6.17059 [-(4671*f(x)+208)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x+f(x)-3*x-1) ogf] A037581 13.6142 [(3*x+1)/(x-1)/(9*x-1)/(x+1) ogf] A037581 13.6418 [-2*(-6-x+27*x^3+12*x^2)/(-1+x)/(9*x-1)/(1+3*x)/(x+1) lgdogf] A037581 6.22027 [-(519632*f(x)+26919)*(9*f(x)*x^3-f(x)*x^2-9*f(x)*x+f(x)-3*x-1) ogf] A037581 6.27436 [{a(n+3)-9*a(n+2)-a(n+1)+9*a(n),a(0)=1,a(1)=12,a(2)=109} ogf] A037582 12.6910 [(3*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A037582 5.96585 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=13,a(2)=131} ogf] A037582 6.01729 [-(53346*f(x)+2935)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+f(x)-3*x-1) ogf] A037582 7.75298 [-(-13-2*x+60*x^3+27*x^2)/(-1+x)/(1+3*x)/(10*x-1)/(x+1) lgdogf] A037583 11.8912 [(x+3)/(x-1)/(4*x-1)/(x+1) ogf] A037583 12.6059 [-(-13-6*x+8*x^3+35*x^2)/(x-1)/(4*x-1)/(x+3)/(x+1) lgdogf] A037583 5.52836 [{-a(n+3)+4*a(n+2)+a(n+1)-4*a(n),a(0)=3,a(1)=13,a(2)=55} ogf] A037583 5.8355 [(631*f(x)-1988)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-x-3) ogf] A037584 11.0866 [(x+3)/(x-1)/(5*x-1)/(x+1) ogf] A037584 11.2826 [-2*(-8-3*x+22*x^2+5*x^3)/(-1+x)/(x+3)/(5*x-1)/(x+1) lgdogf] A037584 5.15432 [{-a(n+3)+5*a(n+2)+a(n+1)-5*a(n),a(0)=3,a(1)=16,a(2)=83} ogf] A037584 5.19994 [(133336*f(x)-301915)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+f(x)-x-3) ogf] A037585 10.7959 [(x+3)/(x-1)/(6*x-1)/(x+1) ogf] A037585 11.2040 [-(-19-6*x+53*x^2+12*x^3)/(x-1)/(6*x-1)/(x+3)/(x+1) lgdogf] A037585 4.97551 [{-a(n+3)+6*a(n+2)+a(n+1)-6*a(n),a(0)=3,a(1)=19,a(2)=117} ogf] A037585 5.15482 [(21722*f(x)-38523)*(6*f(x)*x^3-f(x)*x^2-6*f(x)*x+f(x)-x-3) ogf] A037586 10.3055 [-2*(-11-3*x+7*x^3+31*x^2)/(x-1)/(x+3)/(-1+7*x)/(1+x) lgdogf] A037586 10.3333 [(x+3)/(x-1)/(7*x-1)/(x+1) ogf] A037586 4.76231 [{-a(n+3)+7*a(n+2)+a(n+1)-7*a(n),a(0)=3,a(1)=22,a(2)=157} ogf] A037586 4.80408 [(774724*f(x)-1131179)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+f(x)-x-3) ogf] A037587 4.47379 [{-a(n+3)+8*a(n+2)+a(n+1)-8*a(n),a(0)=3,a(1)=25,a(2)=203} ogf] A037587 4.63501 [(24127*f(x)-29968)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x+f(x)-x-3) ogf] A037587 9.70728 [(x+3)/(x-1)/(8*x-1)/(x+1) ogf] A037587 9.86126 [-(-25-6*x+16*x^3+71*x^2)/(x-1)/(-1+8*x)/(x+3)/(x+1) lgdogf] A037588 4.11431 [{-a(n+3)+9*a(n+2)+a(n+1)-9*a(n),a(0)=3,a(1)=28,a(2)=255} ogf] A037588 4.11432 [(2829104*f(x)-3059307)*(9*f(x)*x^3-f(x)*x^2-9*f(x)*x+f(x)-x-3) ogf] A037588 8.92728 [(x+3)/(x-1)/(9*x-1)/(x+1) ogf] A037588 9.05516 [-2*(-14-3*x+9*x^3+40*x^2)/(x-1)/(9*x-1)/(x+3)/(x+1) lgdogf] A037589 3.67309 [{-a(n+3)+10*a(n+2)+a(n+1)-10*a(n),a(0)=3,a(1)=31,a(2)=313} ogf] A037589 3.73697 [(303346*f(x)-290555)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+f(x)-x-3) ogf] A037589 7.81365 [(x+3)/(x-1)/(10*x-1)/(x+1) ogf] A037589 8.05117 [-(-31-6*x+20*x^3+89*x^2)/(-1+x)/(10*x-1)/(3+x)/(x+1) lgdogf] A037590 11.5413 [(3*x^2+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037590 5.7205 [(31019*f(x)+16232)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-3*x^2+f(x)-1) ogf] A037590 9.21634 [-(-4-6*x+24*x^5+9*x^2+16*x^3-3*x^4)/(x-1)/(-1+4*x)/(x^2+x+1)/(3*x^2+1) lgdogf] A037591 10.7915 [(3*x^2+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037591 5.39577 [(16502*f(x)+5435)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-3*x^2+f(x)-1) ogf] A037591 8.61075 [-(-5-6*x+12*x^2+20*x^3-3*x^4+30*x^5)/(x-1)/(5*x-1)/(x^2+x+1)/(3*x^2+1) lgdogf] A037592 10.6291 [(3*x^2+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037592 5.17829 [(690212*f(x)+155943)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-3*x^2+f(x)-1) ogf] A037592 8.73061 [-3*(-2-2*x+5*x^2+8*x^3-x^4+12*x^5)/(x-1)/(6*x-1)/(x^2+x+1)/(3*x^2+1) lgdogf] A037593 4.57163 [(26885*f(x)+4424)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-3*x^2+f(x)-1) ogf] A037593 7.27697 [-(-7-6*x+42*x^5-3*x^4+28*x^3+18*x^2)/(x-1)/(7*x-1)/(x^2+x+1)/(3*x^2+1) lgdogf] A037593 9.14326 [(3*x^2+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037594 4.08052 [(9901873*f(x)+1239856)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-3*x^2+f(x)-1) ogf] A037594 6.77172 [-(-8-6*x-3*x^4+32*x^3+48*x^5+21*x^2)/(x-1)/(8*x-1)/(x^2+x+1)/(3*x^2+1) lgdogf] A037594 8.51898 [(3*x^2+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037595 3.70679 [(44712584*f(x)+4404807)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-3*x^2+f(x)-1) ogf] A037595 6.10537 [-3*(2*x-1)*(9*x^4+4*x^3+8*x^2+8*x+3)/(-1+x)/(9*x-1)/(x^2+x+1)/(1+3*x^2) lgdogf] A037595 7.80375 [(3*x^2+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037596 3.58126 [(7740154*f(x)+615865)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-3*x^2+f(x)-1) ogf] A037596 5.73508 [-(-10-6*x+60*x^5-3*x^4+40*x^3+27*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(1+3*x^2) lgdogf] A037596 7.28392 [(3*x^2+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037597 10.5617 [-(-7-3*x^2+10*x^3+36*x^4)/(3*x+1)/(4*x-1)/(x-1)/(x^2+x+1) lgdogf] A037597 11.5954 [(3*x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037597 5.39085 [-(19579*f(x)+9008)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-3*x-1) ogf] A037598 10.7373 [-(-8+45*x^4+14*x^3-3*x^2)/(5*x-1)/(3*x+1)/(x-1)/(x^2+x+1) lgdogf] A037598 11.7809 [(3*x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037598 5.24698 [-(3911284*f(x)+1021525)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-3*x-1) ogf] A037599 10.7102 [-3*(-3+18*x^4+6*x^3-x^2)/(3*x+1)/(6*x-1)/(x-1)/(x^2+x+1) lgdogf] A037599 11.5462 [(3*x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037599 5.23033 [-(800869*f(x)+142776)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-3*x-1) ogf] A037600 4.54357 [-(240334*f(x)+32879)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-3*x-1) ogf] A037600 8.88409 [-(-10+63*x^4+22*x^3-3*x^2)/(7*x-1)/(3*x+1)/(x-1)/(x^2+x+1) lgdogf] A037600 9.94443 [(3*x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037601 4.16409 [-(5349937*f(x)+603712)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-3*x-1) ogf] A037601 8.27244 [-(-11+72*x^4+26*x^3-3*x^2)/(3*x+1)/(8*x-1)/(x-1)/(x^2+x+1) lgdogf] A037601 9.27100 [(3*x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037602 3.69247 [-(187639552*f(x)+18269469)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-3*x-1) ogf] A037602 7.57151 [-3*(-4+27*x^4+10*x^3-x^2)/(1+3*x)/(9*x-1)/(-1+x)/(x^2+x+1) lgdogf] A037602 8.49962 [(3*x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037603 3.58126 [-(7912183*f(x)+684200)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-3*x-1) ogf] A037603 6.97768 [-(-13+90*x^4+34*x^3-3*x^2)/(10*x-1)/(1+3*x)/(-1+x)/(1+x^2+x) lgdogf] A037603 7.81365 [(3*x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037604 10.0747 [(3*x^2+2*x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037604 4.9964 [-(105309*f(x)-9064)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037604 8.24677 [-3*(-2-2*x+3*x^2+4*x^3+7*x^4+8*x^5)/(4*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A037605 10.1852 [(3*x^2+2*x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037605 5.09262 [(2003331*f(x)-234920)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037605 8.11913 [-(-7-6*x+27*x^4+16*x^3+30*x^5+12*x^2)/(5*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A037606 10.0320 [(3*x^2+2*x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037606 5.18601 [(15185*f(x)-1908)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037606 7.99694 [-(-8-6*x+33*x^4+20*x^3+36*x^5+15*x^2)/(6*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A037607 4.22669 [(16169787*f(x)-2027354)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037607 6.83110 [-3*(-3-2*x+14*x^5+13*x^4+8*x^3+6*x^2)/(7*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A037607 8.59197 [(3*x^2+2*x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037608 11.3296 [(3*x^2+2*x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037608 5.66481 [(1643991*f(x)-199984)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037608 6.31318 [-(-10-6*x+48*x^5+45*x^4+28*x^3+21*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A037609 3.75401 [(199163*f(x)-23220)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037609 5.70321 [-(-11-6*x+54*x^5+51*x^4+32*x^3+24*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A037609 7.38492 [(3*x^2+2*x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037610 5.28792 [-(159808581*f(x)-17762540)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A037610 5.36745 [-3*(-4-2*x+20*x^5+19*x^4+12*x^3+9*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(3*x^2+2*x+1) lgdogf] A037610 6.82144 [(3*x^2+2*x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037611 10.0747 [(x+1)*(2*x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037611 5.07898 [(831087*f(x)+398176)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037611 8.13533 [-(-7-4*x+5*x^2+10*x^3+34*x^4+16*x^5)/(x-1)/(4*x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A037612 10.2866 [(x+1)*(2*x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037612 5.14329 [(1472964*f(x)+600055)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037612 8.31239 [-(-8-4*x+20*x^5+43*x^4+14*x^3+7*x^2)/(x-1)/(2*x+1)/(5*x-1)/(1+x)/(x^2+x+1) lgdogf] A037613 10.0320 [(x+1)*(2*x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037613 5.09958 [(128999*f(x)+45316)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037613 8.10501 [-(-9-4*x+52*x^4+18*x^3+24*x^5+9*x^2)/(x-1)/(6*x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A037614 4.18297 [(111693510*f(x)+34369279)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037614 6.77996 [-(-10-4*x+28*x^5+61*x^4+22*x^3+11*x^2)/(x-1)/(1+2*x)/(7*x-1)/(x+1)/(x^2+x+1) lgdogf] A037614 8.64025 [(x+1)*(2*x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037615 11.3296 [(x+1)*(2*x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037615 5.71162 [(814591*f(x)+222624)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037615 8.93326 [-(-11-4*x+32*x^5+70*x^4+26*x^3+13*x^2)/(x-1)/(1+2*x)/(8*x-1)/(x+1)/(x^2+x+1) lgdogf] A037616 11.8287 [(x+1)*(2*x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037616 5.86627 [(6999368*f(x)+1718919)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037616 9.21264 [-(-12-4*x+36*x^5+79*x^4+30*x^3+15*x^2)/(-1+x)/(9*x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A037617 3.25569 [-(282158919*f(x)+62879860)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A037617 5.36745 [-(-13-4*x+40*x^5+88*x^4+34*x^3+17*x^2)/(-1+x)/(2*x+1)/(10*x-1)/(x+1)/(1+x^2+x) lgdogf] A037617 6.82144 [(x+1)*(2*x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037618 10.7817 [(3*x^2+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037618 5.34397 [(17787*f(x)+71560)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-3*x^2+f(x)-2) ogf] A037618 8.72484 [-(-8-6*x+6*x^2+32*x^3-3*x^4+24*x^5)/(4*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2) lgdogf] A037619 11.1711 [(3*x^2+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037619 5.68531 [(887*f(x)+2185)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-3*x^2+f(x)-2) ogf] A037619 8.91986 [-(-10+30*x^5-6*x+9*x^2+40*x^3-3*x^4)/(5*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2) lgdogf] A037620 10.8962 [(3*x^2+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037620 5.13291 [(25226785*f(x)+42160644)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-3*x^2+f(x)-2) ogf] A037620 8.69863 [-3*(-4-2*x+12*x^5-x^4+16*x^3+4*x^2)/(x-1)/(-1+6*x)/(x^2+x+1)/(3*x^2+2) lgdogf] A037621 4.58024 [(263322*f(x)+320831)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-3*x^2+f(x)-2) ogf] A037621 7.38184 [-(-14-6*x+56*x^3+15*x^2-3*x^4+42*x^5)/(x-1)/(7*x-1)/(x^2+x+1)/(3*x^2+2) lgdogf] A037621 9.40154 [(3*x^2+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037622 12.3383 [(3*x^2+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037622 5.71776 [(204134089*f(x)+190936496)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-3*x^2+f(x)-2) ogf] A037622 9.73389 [-(-16-6*x+48*x^5-3*x^4+64*x^3+18*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(3*x^2+2) lgdogf] A037623 3.88079 [(9583823*f(x)+7151355)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-3*x^2+f(x)-2) ogf] A037623 6.43543 [-3*(-6-2*x+18*x^5-x^4+24*x^3+7*x^2)/(-1+x)/(9*x-1)/(x^2+x+1)/(3*x^2+2) lgdogf] A037623 8.10198 [(3*x^2+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037624 11.8306 [(3*x^2+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037624 5.73508 [-(-20-6*x+60*x^5-3*x^4+80*x^3+24*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(2+3*x^2) lgdogf] A037624 5.86559 [(279267*f(x)+171220)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-3*x^2+f(x)-2) ogf] A037625 10.6499 [-(-11+36*x^4+26*x^3-6*x^2)/(x-1)/(3*x+2)/(4*x-1)/(x^2+x+1) lgdogf] A037625 11.8912 [(3*x+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037625 5.29609 [-(3652867*f(x)+1207216)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-3*x-2) ogf] A037626 10.8186 [-(-13-6*x^2+34*x^3+45*x^4)/(x-1)/(3*x+2)/(5*x-1)/(x^2+x+1) lgdogf] A037626 12.0725 [(3*x+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037626 5.42242 [-(1936174*f(x)+490025)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-3*x-2) ogf] A037627 10.6829 [(3*x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037627 4.64093 [-(164494945*f(x)+34613028)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-3*x-2) ogf] A037628 10.1667 [(3*x+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037628 4.56638 [-(3165784*f(x)+577171)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-3*x-2) ogf] A037628 9.08715 [-(-17+50*x^3-6*x^2+63*x^4)/(x-1)/(3*x+2)/(7*x-1)/(x^2+x+1) lgdogf] A037629 4.07915 [-(1149867721*f(x)+186078272)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-3*x-2) ogf] A037629 8.52161 [-(-19+72*x^4+58*x^3-6*x^2)/(x-1)/(3*x+2)/(8*x-1)/(1+x^2+x) lgdogf] A037629 9.54368 [(3*x+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037630 3.77 [-(2560314106*f(x)+373668633)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-3*x-2) ogf] A037630 7.60245 [-3*(-7+27*x^4+22*x^3-2*x^2)/(-1+x)/(3*x+2)/(9*x-1)/(x^2+x+1) lgdogf] A037630 8.82038 [(3*x+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037631 3.52255 [-(69989683*f(x)+9318700)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-3*x-2) ogf] A037631 6.97768 [-(-23+90*x^4+74*x^3-6*x^2)/(-1+x)/(3*x+2)/(10*x-1)/(1+x^2+x) lgdogf] A037631 7.81365 [(3*x+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037632 10.2803 [(3*x^2+x+2)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037632 5.18264 [(597969*f(x)+120584)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-3*x^2+f(x)-x-2) ogf] A037632 8.53550 [-3*(-3-2*x+3*x^4+10*x^3+8*x^5+2*x^2)/(x-1)/(4*x-1)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A037633 10.4386 [(3*x^2+x+2)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037633 5.17687 [(11343324*f(x)+473645)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-3*x^2+f(x)-x-2) ogf] A037633 8.55329 [-(-11+30*x^5-6*x+9*x^2+38*x^3+12*x^4)/(5*x-1)/(x-1)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A037634 4.75793 [(125605*f(x)-2988)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-3*x^2+f(x)-x-2) ogf] A037634 9.28185 [(3*x^2+x+2)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037635 4.31066 [(120127842*f(x)-6384763)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-3*x^2+f(x)-x-2) ogf] A037635 7.21993 [-3*(-5-2*x+18*x^3+5*x^2+6*x^4+14*x^5)/(7*x-1)/(x-1)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A037635 8.83333 [(3*x^2+x+2)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037636 4.05584 [(76777041*f(x)-5111824)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-3*x^2+f(x)-x-2) ogf] A037636 6.64004 [-(-17-6*x+48*x^5+21*x^4+62*x^3+18*x^2)/(8*x-1)/(x-1)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A037636 8.24466 [(3*x^2+x+2)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037637 3.80858 [(8680936*f(x)-627939)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-3*x^2+f(x)-x-2) ogf] A037637 6.04418 [-(-19-6*x+54*x^5+24*x^4+70*x^3+21*x^2)/(9*x-1)/(-1+x)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A037637 7.61715 [(3*x^2+x+2)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037638 3.35743 [(368878581*f(x)-27360340)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-3*x^2+f(x)-x-2) ogf] A037638 5.58215 [-3*(-7-2*x+20*x^5+9*x^4+26*x^3+8*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(3*x^2+x+2) lgdogf] A037638 6.82144 [(3*x^2+x+2)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037639 10.3317 [(x+2)*(x+1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037639 5.20855 [(796113*f(x)-427304)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-3*x-2) ogf] A037639 8.57905 [-(-11-2*x+35*x^4+26*x^3+8*x^5-2*x^2)/(x-1)/(4*x-1)/(x+2)/(x+1)/(x^2+x+1) lgdogf] A037640 4.76642 [(1632036*f(x)-633665)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-3*x-2) ogf] A037640 8.01867 [-(-13-2*x-x^2+34*x^3+44*x^4+10*x^5)/(x-1)/(5*x-1)/(x+2)/(x+1)/(x^2+x+1) lgdogf] A037640 9.53284 [(x+2)*(x+1)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037641 4.71828 [(158533*f(x)-46916)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-3*x-2) ogf] A037641 9.28185 [(x+2)*(x+1)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037642 4.27645 [(148305978*f(x)-34875281)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-3*x-2) ogf] A037642 7.42331 [-(-17-2*x+50*x^3+x^2+62*x^4+14*x^5)/(x-1)/(7*x-1)/(x+2)/(x+1)/(x^2+x+1) lgdogf] A037642 8.83333 [(x+2)*(x+1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037643 4.25055 [(60443*f(x)-11664)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-3*x-2) ogf] A037643 6.77059 [-(-19-2*x+16*x^5+71*x^4+58*x^3+2*x^2)/(x-1)/(8*x-1)/(x+2)/(x+1)/(1+x^2+x) lgdogf] A037643 8.29205 [(x+2)*(x+1)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037644 10.9025 [(x+2)*(x+1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037644 5.36333 [(10350832*f(x)-1680921)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-3*x-2) ogf] A037644 8.82526 [-(-21-2*x+18*x^5+80*x^4+66*x^3+3*x^2)/(-1+x)/(9*x-1)/(2+x)/(x+1)/(x^2+x+1) lgdogf] A037645 3.35743 [(433858581*f(x)-60489980)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-3*x-2) ogf] A037645 5.58215 [-(-23-2*x+20*x^5+89*x^4+74*x^3+4*x^2)/(-1+x)/(10*x-1)/(2+x)/(x+1)/(1+x^2+x) lgdogf] A037645 6.82144 [(x+2)*(x+1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037646 11.0567 [(x^2+3)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037646 5.4803 [(10955*f(x)-42376)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-x^2+f(x)-3) ogf] A037646 9.50295 [-(-12-2*x-x^4+48*x^3+8*x^5-5*x^2)/(x-1)/(4*x-1)/(x^2+x+1)/(x^2+3) lgdogf] A037647 10.2018 [(x^2+3)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037647 4.72767 [-(3358902*f(x)-9153605)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-x^2+f(x)-3) ogf] A037647 8.62614 [-(-15-2*x-4*x^2+60*x^3-x^4+10*x^5)/(5*x-1)/(x-1)/(x^2+x+1)/(x^2+3) lgdogf] A037648 10.0383 [(x^2+3)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037648 4.65191 [-(3202648*f(x)-6740709)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-x^2+f(x)-3) ogf] A037648 8.48790 [-(-18-2*x-3*x^2+72*x^3-x^4+12*x^5)/(6*x-1)/(x-1)/(x^2+x+1)/(x^2+3) lgdogf] A037649 4.52616 [-(401113*f(x)-687680)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-x^2+f(x)-3) ogf] A037649 7.99833 [-(-21-2*x+14*x^5+84*x^3-x^4-2*x^2)/(x-1)/(-1+7*x)/(x^2+x+1)/(x^2+3) lgdogf] A037649 9.60818 [(x^2+3)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037650 4.09277 [-(51597519*f(x)-74615056)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-x^2+f(x)-3) ogf] A037650 7.69283 [-(-24-2*x+16*x^5-x^4+96*x^3-x^2)/(x-1)/(-1+8*x)/(x^2+x+1)/(3+x^2) lgdogf] A037650 8.97535 [(x^2+3)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037651 3.72556 [-(240848380*f(x)-301123233)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-x^2+f(x)-3) ogf] A037651 7.57071 [-(-27-2*x+18*x^5-x^4+108*x^3)/(9*x-1)/(x-1)/(x^2+x+1)/(x^2+3) lgdogf] A037651 8.30081 [(x^2+3)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037652 3.43801 [-(2616062*f(x)-2880385)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-x^2+f(x)-3) ogf] A037652 6.24867 [-(-30-2*x+20*x^5-x^4+120*x^3+x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(x^2+3) lgdogf] A037652 7.28392 [(x^2+3)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037653 11.0567 [(2*x^2+3)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037653 5.20855 [-(500623*f(x)-987664)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x-2*x^2+f(x)-3) ogf] A037653 9.08370 [-(-12-4*x-2*x^4+48*x^3+16*x^5-x^2)/(x-1)/(4*x-1)/(x^2+x+1)/(2*x^2+3) lgdogf] A037654 10.2018 [(2*x^2+3)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037654 4.88659 [-(49449*f(x)-72170)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x-2*x^2+f(x)-3) ogf] A037654 8.37243 [-(-15-4*x+x^2+60*x^3-2*x^4+20*x^5)/(5*x-1)/(x-1)/(x^2+x+1)/(2*x^2+3) lgdogf] A037655 10.0383 [(2*x^2+3)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037655 4.50539 [-(219250655*f(x)-253327416)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x-2*x^2+f(x)-3) ogf] A037655 8.00288 [-(-18-4*x+3*x^2+72*x^3-2*x^4+24*x^5)/(6*x-1)/(x-1)/(x^2+x+1)/(2*x^2+3) lgdogf] A037656 4.38133 [-(13260943*f(x)-12660634)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x-2*x^2+f(x)-3) ogf] A037656 7.54772 [-(-21-4*x+28*x^5+84*x^3-2*x^4+5*x^2)/(x-1)/(-1+7*x)/(x^2+x+1)/(2*x^2+3) lgdogf] A037656 9.60818 [(2*x^2+3)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037657 3.96586 [-(1664051511*f(x)-1352216864)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x-2*x^2+f(x)-3) ogf] A037657 7.04273 [-(-24-4*x+32*x^5-2*x^4+96*x^3+7*x^2)/(x-1)/(-1+8*x)/(x^2+x+1)/(2*x^2+3) lgdogf] A037657 8.97535 [(2*x^2+3)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037658 3.8157 [-(13862527*f(x)-9798318)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x-2*x^2+f(x)-3) ogf] A037658 6.50441 [-(-27-4*x+36*x^5-2*x^4+108*x^3+9*x^2)/(9*x-1)/(x-1)/(x^2+x+1)/(2*x^2+3) lgdogf] A037658 8.30081 [(2*x^2+3)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037659 3.33141 [-(319971751*f(x)-200015560)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x-2*x^2+f(x)-3) ogf] A037659 5.65758 [-(-30-4*x+40*x^5-2*x^4+120*x^3+11*x^2)/(10*x-1)/(-1+x)/(1+x^2+x)/(2*x^2+3) lgdogf] A037659 7.28392 [(2*x^2+3)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037660 11.0302 [-(-13+12*x^4+46*x^3-9*x^2)/(x+3)/(x-1)/(4*x-1)/(x^2+x+1) lgdogf] A037660 11.8912 [(x+3)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037660 5.34097 [-(466289*f(x)+1180464)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-x-3) ogf] A037661 10.2209 [-(-16-9*x^2+58*x^3+15*x^4)/(x-1)/(x+3)/(5*x-1)/(x^2+x+1) lgdogf] A037661 11.0292 [(x+3)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037661 4.91217 [-(3573476*f(x)+7871575)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-x-3) ogf] A037662 10.0036 [-(-19-9*x^2+70*x^3+18*x^4)/(x+3)/(6*x-1)/(x-1)/(x^2+x+1) lgdogf] A037662 10.7959 [(x+3)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037662 4.76821 [-(6702853*f(x)+13123080)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-x-3) ogf] A037663 10.3333 [(x+3)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037663 4.56388 [-(6099242*f(x)+10764663)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-x-3) ogf] A037663 9.40155 [-(-22+82*x^3+21*x^4-9*x^2)/(-1+7*x)/(x+3)/(x-1)/(x^2+x+1) lgdogf] A037664 4.32341 [-(5065449*f(x)+8144576)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-x-3) ogf] A037664 8.82323 [-(-25+24*x^4+94*x^3-9*x^2)/(x+3)/(-1+8*x)/(x-1)/(x^2+x+1) lgdogf] A037664 9.70728 [(x+3)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037665 12.6612 [(x+3)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037665 5.36835 [-(1607649904*f(x)+2374618599)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-x-3) ogf] A037665 8.10199 [-(-28+27*x^4+106*x^3-9*x^2)/(x+3)/(9*x-1)/(x-1)/(x^2+x+1) lgdogf] A037666 3.43801 [-(204236549*f(x)+279040200)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-x-3) ogf] A037666 7.09595 [-(-31+30*x^4+118*x^3-9*x^2)/(3+x)/(10*x-1)/(-1+x)/(1+x^2+x) lgdogf] A037666 7.81365 [(x+3)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037667 10.6499 [-(-14+24*x^4+44*x^3-9*x^2)/(x-1)/(4*x-1)/(2*x+3)/(x^2+x+1) lgdogf] A037667 11.8912 [(2*x+3)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A037667 5.20855 [-(22529801*f(x)+21628512)*(4*f(x)*x^4-f(x)*x^3-4*f(x)*x+f(x)-2*x-3) ogf] A037668 11.0866 [(2*x+3)/(x-1)/(5*x-1)/(x^2+x+1) ogf] A037668 4.93775 [-(1346433*f(x)+1073200)*(5*f(x)*x^4-f(x)*x^3-5*f(x)*x+f(x)-2*x-3) ogf] A037668 9.75278 [-(-17-9*x^2+56*x^3+30*x^4)/(-1+x)/(2*x+3)/(5*x-1)/(x^2+x+1) lgdogf] A037669 10.7959 [(2*x+3)/(x-1)/(6*x-1)/(x^2+x+1) ogf] A037669 4.65191 [-(346686625*f(x)+237746232)*(6*f(x)*x^4-f(x)*x^3-6*f(x)*x+f(x)-2*x-3) ogf] A037669 9.65865 [-(-20-9*x^2+68*x^3+36*x^4)/(x-1)/(6*x-1)/(2*x+3)/(x^2+x+1) lgdogf] A037670 10.3333 [(2*x+3)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A037670 4.52616 [-(20169797*f(x)+12168072)*(7*f(x)*x^4-f(x)*x^3-7*f(x)*x+f(x)-2*x-3) ogf] A037670 9.08285 [-(-23+80*x^3+42*x^4-9*x^2)/(x-1)/(2*x+3)/(-1+7*x)/(x^2+x+1) lgdogf] A037671 12.1525 [(2*x+3)/(x-1)/(8*x-1)/(x^2+x+1) ogf] A037671 5.23644 [-(818885187*f(x)+441494656)*(8*f(x)*x^4-f(x)*x^3-8*f(x)*x+f(x)-2*x-3) ogf] A037671 8.52414 [-(-26+48*x^4+92*x^3-9*x^2)/(x-1)/(2*x+3)/(-1+8*x)/(x^2+x+1) lgdogf] A037672 3.80784 [-(5496525631*f(x)+2680208352)*(9*f(x)*x^4-f(x)*x^3-9*f(x)*x+f(x)-2*x-3) ogf] A037672 7.87536 [-(-29+54*x^4+104*x^3-9*x^2)/(x-1)/(2*x+3)/(9*x-1)/(x^2+x+1) lgdogf] A037672 8.98074 [(2*x+3)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A037673 3.43801 [-(452569049*f(x)+201497400)*(10*f(x)*x^4-f(x)*x^3-10*f(x)*x+f(x)-2*x-3) ogf] A037673 6.86330 [-(-32+60*x^4+116*x^3-9*x^2)/(-1+x)/(2*x+3)/(10*x-1)/(1+x^2+x) lgdogf] A037673 7.81365 [(2*x+3)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A037674 4.76708 [-(981*f(x)-4408)*(4*f(x)*x^4-5*f(x)*x^3+5*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+x-1) ogf] A037674 9.08654 [-(-4+4*x+24*x^5-5*x^2+26*x^3-27*x^4)/(x-1)/(-1+4*x)/(x^2+1)/(3*x^2-x+1) lgdogf] A037674 9.53414 [(3*x^2-x+1)/(4*x-1)/(x-1)/(x^2+1) ogf] A037675 4.33181 [-(36496*f(x)-109645)*(5*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+x-1) ogf] A037675 8.61075 [-(-5+6*x-6*x^2+32*x^3-33*x^4+30*x^5)/(x-1)/(5*x-1)/(x^2+1)/(3*x^2-x+1) lgdogf] A037675 8.91474 [(3*x^2-x+1)/(x-1)/(5*x-1)/(x^2+1) ogf] A037676 4.23678 [-(389921*f(x)-882288)*(6*f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x-3*x^2+f(x)+x-1) ogf] A037676 8.48116 [-(-6+8*x-7*x^2+38*x^3-39*x^4+36*x^5)/(x-1)/(6*x-1)/(x^2+1)/(3*x^2-x+1) lgdogf] A037676 8.78057 [(3*x^2-x+1)/(6*x-1)/(x-1)/(x^2+1) ogf] A037677 3.54534 [-(10874730*f(x)-19759537)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x-3*x^2+f(x)+x-1) ogf] A037677 7.17448 [-(2*x-1)*(21*x^4-12*x^3+16*x^2+4*x+7)/(x-1)/(7*x-1)/(1+x^2)/(3*x^2-x+1) lgdogf] A037677 7.55313 [(3*x^2-x+1)/(x-1)/(7*x-1)/(x^2+1) ogf] A037678 4.65998 [-(28829719*f(x)-43791088)*(8*f(x)*x^4-9*f(x)*x^3+9*f(x)*x^2-9*f(x)*x-3*x^2+f(x)+x-1) ogf] A037678 9.47660 [-(-8+12*x-51*x^4+50*x^3+48*x^5-9*x^2)/(x-1)/(8*x-1)/(x^2+1)/(3*x^2-x+1) lgdogf] A037678 9.92778 [(3*x^2-x+1)/(8*x-1)/(x-1)/(x^2+1) ogf] A037679 3.04667 [-(301796*f(x)-393957)*(9*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-10*f(x)*x-3*x^2+f(x)+x-1) ogf] A037679 5.93810 [-(-9+14*x+54*x^5-57*x^4+56*x^3-10*x^2)/(-1+x)/(9*x-1)/(1+x^2)/(3*x^2-x+1) lgdogf] A037679 6.17797 [(3*x^2-x+1)/(9*x-1)/(x-1)/(x^2+1) ogf] A037680 2.88424 [-(5830701*f(x)-6674440)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x-3*x^2+f(x)+x-1) ogf] A037680 5.58215 [-(-10+16*x+60*x^5-63*x^4+62*x^3-11*x^2)/(10*x-1)/(-1+x)/(1+x^2)/(3*x^2-x+1) lgdogf] A037680 5.88700 [(3*x^2-x+1)/(10*x-1)/(x-1)/(x^2+1) ogf] A037681 10.1209 [(2*x^3+3*x^2+1)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037681 6.86324 [-2*(-2-3*x+17*x^6-3*x^5+3*x^2+6*x^3+10*x^4+8*x^7)/(x-1)/(-1+4*x)/(x+1)/(x^2+1)/(1+3*x^2+2*x^3) lgdogf] A037682 6.48121 [-(-5-6*x+20*x^7+9*x^2+16*x^3+25*x^4-6*x^5+43*x^6)/(x-1)/(5*x-1)/(x+1)/(x^2+1)/(2*x^3+3*x^2+1) lgdogf] A037682 9.46334 [(2*x^3+3*x^2+1)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037683 6.24928 [-2*(-3-3*x+12*x^7+6*x^2+10*x^3+15*x^4-3*x^5+26*x^6)/(x-1)/(6*x-1)/(x+1)/(x^2+1)/(2*x^3+3*x^2+1) lgdogf] A037683 9.32091 [(2*x^3+3*x^2+1)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037684 5.41902 [-(-7-6*x+61*x^6-6*x^5+28*x^7+35*x^4+24*x^3+15*x^2)/(x-1)/(7*x-1)/(x+1)/(1+x^2)/(2*x^3+3*x^2+1) lgdogf] A037684 8.01794 [(2*x^3+3*x^2+1)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037685 7.47049 [(2*x^3+3*x^2+1)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037686 6.84329 [(2*x^3+3*x^2+1)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037687 6.41419 [(2*x^3+3*x^2+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037688 10.0233 [(3*x^3+2*x+1)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037688 6.80544 [-(-6+24*x^7-9*x^2+20*x^3+14*x^4+32*x^5-3*x^6)/(x-1)/(-1+4*x)/(x+1)/(x^2+1)/(3*x^3+2*x+1) lgdogf] A037689 10.1852 [(3*x^3+2*x+1)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037689 6.99925 [-(-7-3*x^6+19*x^4+26*x^3+30*x^7+40*x^5-9*x^2)/(x-1)/(5*x-1)/(x+1)/(x^2+1)/(3*x^3+2*x+1) lgdogf] A037690 10.0320 [(3*x^3+2*x+1)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037690 6.89391 [-(-8-3*x^6+24*x^4+32*x^3+36*x^7+48*x^5-9*x^2)/(x-1)/(6*x-1)/(x+1)/(x^2+1)/(3*x^3+2*x+1) lgdogf] A037691 11.8574 [(3*x^3+2*x+1)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037691 5.88888 [-(-9-3*x^6+56*x^5+42*x^7+29*x^4+38*x^3-9*x^2)/(x-1)/(7*x-1)/(x+1)/(1+x^2)/(3*x^3+2*x+1) lgdogf] A037692 10.1658 [(3*x^3+2*x+1)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037692 5.45229 [-(-10-3*x^6+64*x^5+48*x^7+34*x^4+44*x^3-9*x^2)/(x-1)/(8*x-1)/(x+1)/(x^2+1)/(3*x^3+2*x+1) lgdogf] A037693 7.33848 [(3*x^3+2*x+1)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037694 11.0794 [(3*x^3+2*x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037695 10.0747 [(3*x^2+2*x+1)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037695 7.08252 [-2*(-3-3*x+6*x^2-2*x^3+7*x^4+13*x^5+18*x^6)/(x-1)/(4*x-1)/(x+1)/(x^2+1)/(3*x^2+2*x+1) lgdogf] A037696 10.1852 [(3*x^2+2*x+1)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037696 7.16394 [-(-7-6*x+45*x^6+19*x^4-4*x^3+34*x^5+15*x^2)/(x-1)/(5*x-1)/(x+1)/(x^2+1)/(3*x^2+2*x+1) lgdogf] A037697 10.0320 [(3*x^2+2*x+1)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037697 6.97407 [-2*(-4-3*x+27*x^6+12*x^4-2*x^3+21*x^5+9*x^2)/(x-1)/(6*x-1)/(x+1)/(x^2+1)/(3*x^2+2*x+1) lgdogf] A037698 6.02744 [-(-9-6*x+63*x^6+50*x^5+29*x^4-4*x^3+21*x^2)/(x-1)/(7*x-1)/(x+1)/(1+x^2)/(3*x^2+2*x+1) lgdogf] A037698 8.59197 [(3*x^2+2*x+1)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037699 5.51496 [-2*(-5-3*x+36*x^6+29*x^5+17*x^4-2*x^3+12*x^2)/(x-1)/(8*x-1)/(x+1)/(x^2+1)/(3*x^2+2*x+1) lgdogf] A037699 8.05513 [(3*x^2+2*x+1)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037700 5.04767 [-(-11-6*x+81*x^6+66*x^5+39*x^4-4*x^3+27*x^2)/(-1+x)/(9*x-1)/(x+1)/(1+x^2)/(3*x^2+2*x+1) lgdogf] A037700 7.38492 [(3*x^2+2*x+1)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037701 11.0794 [(3*x^2+2*x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037702 10.0747 [(2*x^3+3*x+1)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037702 6.91970 [-(-7+16*x^7-6*x^2+12*x^3+11*x^4+48*x^5-2*x^6)/(x-1)/(4*x-1)/(x+1)/(2*x^3+3*x+1)/(x^2+1) lgdogf] A037703 10.2359 [(2*x^3+3*x+1)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037703 7.20030 [-2*(-4+10*x^7-x^6+30*x^5+8*x^4+8*x^3-3*x^2)/(x-1)/(5*x-1)/(1+x)/(2*x^3+3*x+1)/(1+x^2) lgdogf] A037704 10.0320 [(2*x^3+3*x+1)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037704 6.89391 [-(-9-2*x^6+21*x^4+20*x^3+24*x^7+72*x^5-6*x^2)/(x-1)/(6*x-1)/(x+1)/(2*x^3+3*x+1)/(x^2+1) lgdogf] A037705 11.9081 [(2*x^3+3*x+1)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037705 5.92272 [-2*(-5-x^6+42*x^5+14*x^7+13*x^4+12*x^3-3*x^2)/(x-1)/(7*x-1)/(x+1)/(2*x^3+3*x+1)/(1+x^2) lgdogf] A037706 12.5669 [(2*x^3+3*x+1)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037706 8.43011 [-(-11-2*x^6+96*x^5+32*x^7+31*x^4+28*x^3-6*x^2)/(x-1)/(8*x-1)/(x+1)/(2*x^3+3*x+1)/(x^2+1) lgdogf] A037707 7.38492 [(2*x^3+3*x+1)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037708 6.82144 [(2*x^3+3*x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037709 10.0747 [(2*x+1)/(4*x-1)/(x-1)/(x^2+1) ogf] A037709 10.2036 [-(-7+10*x-5*x^2-4*x^3+24*x^4)/(2*x+1)/(4*x-1)/(x-1)/(x^2+1) lgdogf] A037709 4.5188 [-(731493*f(x)+1230688)*(4*f(x)*x^4-5*f(x)*x^3+5*f(x)*x^2-5*f(x)*x+f(x)-2*x-1) ogf] A037710 10.2519 [-2*(-4+6*x+15*x^4-2*x^3-3*x^2)/(5*x-1)/(2*x+1)/(x-1)/(1+x^2) lgdogf] A037710 10.2866 [(2*x+1)/(x-1)/(5*x-1)/(x^2+1) ogf] A037710 4.78994 [-(3322*f(x)+4175)*(5*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A037711 10.0320 [(2*x+1)/(6*x-1)/(x-1)/(x^2+1) ogf] A037711 10.1656 [-(-9+14*x+36*x^4-4*x^3-7*x^2)/(2*x+1)/(6*x-1)/(x-1)/(x^2+1) lgdogf] A037711 4.53296 [-(869791*f(x)+863352)*(6*f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x+f(x)-2*x-1) ogf] A037712 11.9081 [(2*x+1)/(x-1)/(7*x-1)/(x^2+1) ogf] A037712 5.30215 [-(4963317*f(x)+4042843)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A037712 8.58795 [-2*(-5+8*x+21*x^4-2*x^3-4*x^2)/(7*x-1)/(1+2*x)/(x-1)/(1+x^2) lgdogf] A037713 3.53499 [-(44996585*f(x)+30927232)*(8*f(x)*x^4-9*f(x)*x^3+9*f(x)*x^2-9*f(x)*x+f(x)-2*x-1) ogf] A037713 7.99669 [-(-11+18*x+48*x^4-4*x^3-9*x^2)/(8*x-1)/(1+2*x)/(x-1)/(x^2+1) lgdogf] A037713 8.05513 [(2*x+1)/(8*x-1)/(x-1)/(x^2+1) ogf] A037714 10.1106 [(2*x+1)/(9*x-1)/(x-1)/(x^2+1) ogf] A037714 10.2435 [-2*(-6+10*x+27*x^4-2*x^3-5*x^2)/(2*x+1)/(9*x-1)/(-1+x)/(1+x^2) lgdogf] A037714 4.65524 [-(1297469*f(x)+768609)*(9*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-10*f(x)*x+f(x)-2*x-1) ogf] A037715 3.04788 [-(7230099*f(x)+3753400)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x+f(x)-2*x-1) ogf] A037715 6.61155 [(2*x+1)/(10*x-1)/(x-1)/(x^2+1) ogf] A037715 6.64541 [-(-13+22*x+60*x^4-4*x^3-11*x^2)/(10*x-1)/(2*x+1)/(-1+x)/(1+x^2) lgdogf] A037716 4.26776 [-(925797*f(x)+2483480)*(4*f(x)*x^4-5*f(x)*x^3+5*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037716 8.13533 [-(-8+14*x-25*x^2+52*x^3-39*x^4+24*x^5)/(4*x-1)/(x-1)/(x^2+1)/(3*x^2-2*x+2) lgdogf] A037716 8.90661 [(3*x^2-2*x+2)/(4*x-1)/(x-1)/(x^2+1) ogf] A037717 4.62528 [(11461*f(x)+27805)*(5*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037717 8.28399 [-2*(-5+9*x+15*x^5-24*x^4+32*x^3-15*x^2)/(x-1)/(5*x-1)/(1+x^2)/(3*x^2-2*x+2) lgdogf] A037717 9.18352 [(3*x^2-2*x+2)/(x-1)/(5*x-1)/(x^2+1) ogf] A037718 4.40484 [(1498351*f(x)+3318660)*(6*f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037718 8.01189 [-(-12+22*x+36*x^5-57*x^4+76*x^3-35*x^2)/(x-1)/(-1+6*x)/(1+x^2)/(3*x^2-2*x+2) lgdogf] A037718 9.00119 [(3*x^2-2*x+2)/(6*x-1)/(x-1)/(x^2+1) ogf] A037719 10.6619 [(3*x^2-2*x+2)/(x-1)/(7*x-1)/(x^2+1) ogf] A037719 5.14453 [(18930384*f(x)+38564785)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037720 3.56684 [(3719249*f(x)+7012784)*(8*f(x)*x^4-9*f(x)*x^3+9*f(x)*x^2-9*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037720 6.46530 [-(-16+30*x+48*x^5-75*x^4+100*x^3-45*x^2)/(8*x-1)/(x-1)/(1+x^2)/(3*x^2-2*x+2) lgdogf] A037720 7.28875 [(3*x^2-2*x+2)/(8*x-1)/(x-1)/(x^2+1) ogf] A037721 3.16311 [(11442509*f(x)+20077335)*(9*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-10*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037721 5.85039 [-2*(-9+17*x+27*x^5-42*x^4+56*x^3-25*x^2)/(-1+x)/(9*x-1)/(x^2+1)/(3*x^2-2*x+2) lgdogf] A037721 6.41407 [(3*x^2-2*x+2)/(9*x-1)/(x-1)/(x^2+1) ogf] A037722 2.92348 [(16814499*f(x)+27584540)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A037722 5.36745 [-(-20+38*x+60*x^5-93*x^4+124*x^3-55*x^2)/(10*x-1)/(-1+x)/(1+x^2)/(3*x^2-2*x+2) lgdogf] A037722 5.88700 [(3*x^2-2*x+2)/(10*x-1)/(x-1)/(x^2+1) ogf] A037723 7.25318 [-(-8-6*x+8*x^7+9*x^2+40*x^4-6*x^5+35*x^6)/(x-1)/(4*x-1)/(x+1)/(2+3*x^2+x^3)/(x^2+1) lgdogf] A037723 9.45471 [(x^3+3*x^2+2)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037724 7.01562 [-2*(-5+5*x^7-3*x^5-3*x+22*x^6+6*x^2+x^3+25*x^4)/(x-1)/(5*x-1)/(x+1)/(x^3+3*x^2+2)/(1+x^2) lgdogf] A037724 9.79622 [(x^3+3*x^2+2)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037725 6.54735 [-(-12-6*x+12*x^7+53*x^6-6*x^5+60*x^4+4*x^3+15*x^2)/(x-1)/(-1+6*x)/(1+x)/(2+3*x^2+x^3)/(1+x^2) lgdogf] A037725 9.55511 [(x^3+3*x^2+2)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037726 11.3655 [(x^3+3*x^2+2)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037726 5.75945 [-2*(-7-3*x+3*x^3+9*x^2+35*x^4-3*x^5+31*x^6+7*x^7)/(x-1)/(7*x-1)/(x+1)/(x^3+3*x^2+2)/(x^2+1) lgdogf] A037727 7.73729 [(x^3+3*x^2+2)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037728 7.10482 [(x^3+3*x^2+2)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037729 6.41419 [(x^3+3*x^2+2)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037730 10.1261 [(3*x^3+x+2)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037730 7.03662 [-(-9+24*x^7-9*x^2+16*x^3+37*x^4+16*x^5-3*x^6)/(x-1)/(-1+4*x)/(x+1)/(3*x^3+x+2)/(x^2+1) lgdogf] A037731 10.4386 [(3*x^3+x+2)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037731 7.26035 [-(-11+30*x^7+20*x^5-3*x^6-9*x^2+22*x^3+47*x^4)/(x-1)/(5*x-1)/(x+1)/(3*x^3+x+2)/(1+x^2) lgdogf] A037732 9.28185 [(3*x^3+x+2)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037733 6.12854 [-(-15+34*x^3-9*x^2+67*x^4+28*x^5-3*x^6+42*x^7)/(x-1)/(7*x-1)/(x+1)/(3*x^3+x+2)/(1+x^2) lgdogf] A037733 8.83333 [(3*x^3+x+2)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037734 5.71352 [-(-17-3*x^6+32*x^5+48*x^7+77*x^4+40*x^3-9*x^2)/(x-1)/(8*x-1)/(x+1)/(3*x^3+x+2)/(1+x^2) lgdogf] A037734 8.24466 [(3*x^3+x+2)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037735 7.61715 [(3*x^3+x+2)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037736 6.82144 [(3*x^3+x+2)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037737 10.2803 [(3*x^2+x+2)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037737 7.40429 [-(-9-6*x+37*x^4-8*x^3+36*x^6+10*x^5+12*x^2)/(x-1)/(4*x-1)/(x+1)/(x^2+1)/(3*x^2+x+2) lgdogf] A037738 10.4386 [(3*x^2+x+2)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037738 7.43322 [-(-11+14*x^5-6*x+45*x^6+15*x^2-8*x^3+47*x^4)/(x-1)/(5*x-1)/(x+1)/(1+x^2)/(3*x^2+x+2) lgdogf] A037739 9.28185 [(3*x^2+x+2)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037740 6.27446 [-(-15-6*x-8*x^3+21*x^2+67*x^4+22*x^5+63*x^6)/(x-1)/(7*x-1)/(x+1)/(1+x^2)/(3*x^2+x+2) lgdogf] A037740 8.83333 [(3*x^2+x+2)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037741 5.84956 [-(-17-6*x+72*x^6+26*x^5+77*x^4-8*x^3+24*x^2)/(x-1)/(8*x-1)/(x+1)/(1+x^2)/(3*x^2+x+2) lgdogf] A037741 8.24466 [(3*x^2+x+2)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037742 5.33310 [-(-19-6*x+81*x^6+30*x^5+87*x^4-8*x^3+27*x^2)/(-1+x)/(9*x-1)/(x+1)/(1+x^2)/(3*x^2+x+2) lgdogf] A037742 7.61715 [(3*x^2+x+2)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037743 11.0794 [(3*x^2+x+2)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037744 10.3317 [(x^3+3*x+2)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037744 8.12752 [-(-11-x^6+31*x^4+8*x^7+48*x^5-3*x^2)/(x-1)/(4*x-1)/(x+1)/(x^2+1)/(x^3+3*x+2) lgdogf] A037745 10.4893 [(x^3+3*x+2)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037745 7.56001 [-(-13-x^6+60*x^5-3*x^2+2*x^3+41*x^4+10*x^7)/(x-1)/(5*x-1)/(x+1)/(x^2+1)/(x^3+3*x+2) lgdogf] A037746 9.28185 [(x^3+3*x+2)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037747 6.35006 [-(-17+6*x^3-3*x^2+61*x^4+84*x^5-x^6+14*x^7)/(x-1)/(7*x-1)/(x+1)/(1+x^2)/(x^3+3*x+2) lgdogf] A037747 8.83333 [(x^3+3*x+2)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037748 5.95486 [-(-19-x^6+96*x^5+16*x^7+71*x^4+8*x^3-3*x^2)/(x-1)/(8*x-1)/(x+1)/(1+x^2)/(x^3+3*x+2) lgdogf] A037748 8.29205 [(x^3+3*x+2)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037749 7.66361 [(x^3+3*x+2)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037750 6.82144 [(x^3+3*x+2)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037751 10.2949 [-(-11+20*x+12*x^4+22*x^3-25*x^2)/(x+2)/(x-1)/(4*x-1)/(x^2+1) lgdogf] A037751 10.3317 [(x+2)/(4*x-1)/(x-1)/(x^2+1) ogf] A037751 4.63408 [-(988827*f(x)-1346096)*(4*f(x)*x^4-5*f(x)*x^3+5*f(x)*x^2-5*f(x)*x+f(x)-x-2) ogf] A037752 4.50778 [(52174*f(x)-30575)*(5*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x+f(x)-x-2) ogf] A037752 9.48875 [-(-13+24*x-30*x^2+28*x^3+15*x^4)/(x+2)/(5*x-1)/(x-1)/(1+x^2) lgdogf] A037752 9.53284 [(x+2)/(x-1)/(5*x-1)/(x^2+1) ogf] A037753 4.28934 [(2178401*f(x)-623484)*(6*f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x+f(x)-x-2) ogf] A037753 9.28185 [(x+2)/(6*x-1)/(x-1)/(x^2+1) ogf] A037754 4.4936 [(14801715*f(x)-2129981)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x+f(x)-x-2) ogf] A037754 9.83598 [-(-17+32*x+21*x^4+40*x^3-40*x^2)/(x-1)/(7*x-1)/(x+2)/(x^2+1) lgdogf] A037754 9.87118 [(x+2)/(x-1)/(7*x-1)/(x^2+1) ogf] A037755 3.71923 [(153184279*f(x)-10391744)*(8*f(x)*x^4-9*f(x)*x^3+9*f(x)*x^2-9*f(x)*x+f(x)-x-2) ogf] A037755 8.23755 [-(-19+36*x+24*x^4+46*x^3-45*x^2)/(x+2)/(8*x-1)/(x-1)/(1+x^2) lgdogf] A037755 8.29205 [(x+2)/(8*x-1)/(x-1)/(x^2+1) ogf] A037756 3.46282 [(9805352*f(x)-234981)*(9*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-10*f(x)*x+f(x)-x-2) ogf] A037756 7.30438 [(x+2)/(9*x-1)/(x-1)/(x^2+1) ogf] A037756 7.47782 [-(-21+40*x+27*x^4+52*x^3-50*x^2)/(2+x)/(9*x-1)/(-1+x)/(x^2+1) lgdogf] A037757 10.7385 [(x+2)/(10*x-1)/(x-1)/(x^2+1) ogf] A037757 5.13239 [(29729901*f(x)+79300)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x+f(x)-x-2) ogf] A037757 6.75260 [-(-23+44*x+30*x^4+58*x^3-55*x^2)/(2+x)/(10*x-1)/(-1+x)/(1+x^2) lgdogf] A037758 7.35347 [-2*(-6-x+5*x^6+30*x^4+2*x^3+8*x^7-x^5-x^2)/(x-1)/(4*x-1)/(x+1)/(2*x^3+x^2+3)/(x^2+1) lgdogf] A037758 9.69589 [(2*x^3+x^2+3)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037759 6.39691 [-(-15-2*x+13*x^6+20*x^7-x^2+8*x^3+75*x^4-2*x^5)/(x-1)/(5*x-1)/(x+1)/(2*x^3+x^2+3)/(1+x^2) lgdogf] A037759 8.94620 [(2*x^3+x^2+3)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037760 6.91607 [-2*(-9-x+8*x^6+12*x^7+6*x^3+45*x^4-x^5)/(x-1)/(6*x-1)/(x+1)/(2*x^3+x^2+3)/(1+x^2) lgdogf] A037760 8.80283 [(2*x^3+x^2+3)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037761 5.82487 [-(-21-2*x+19*x^6-2*x^5+16*x^3+28*x^7+105*x^4+x^2)/(x-1)/(-1+7*x)/(1+x)/(2*x^3+x^2+3)/(1+x^2) lgdogf] A037761 8.42563 [(2*x^3+x^2+3)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037762 7.87069 [(2*x^3+x^2+3)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037763 7.27917 [(2*x^3+x^2+3)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037764 6.41419 [(2*x^3+x^2+3)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037765 6.86324 [-(-12-4*x+23*x^6+60*x^4-4*x^3+8*x^7-4*x^5+5*x^2)/(x-1)/(4*x-1)/(x+1)/(x^2+1)/(3+2*x^2+x^3) lgdogf] A037765 9.69589 [(x^3+2*x^2+3)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037766 6.25632 [-(-15-4*x+29*x^6+10*x^7+7*x^2-2*x^3+75*x^4-4*x^5)/(x-1)/(5*x-1)/(x+1)/(1+x^2)/(x^3+2*x^2+3) lgdogf] A037766 8.94620 [(x^3+2*x^2+3)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037767 6.59061 [-(-18-4*x+35*x^6+12*x^7+9*x^2+90*x^4-4*x^5)/(x-1)/(6*x-1)/(x+1)/(1+x^2)/(x^3+2*x^2+3) lgdogf] A037767 8.80283 [(x^3+2*x^2+3)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037768 5.70094 [-(-21-4*x+41*x^6-4*x^5+2*x^3+14*x^7+105*x^4+11*x^2)/(x-1)/(-1+7*x)/(1+x)/(1+x^2)/(x^3+2*x^2+3) lgdogf] A037768 8.42563 [(x^3+2*x^2+3)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037769 7.87069 [(x^3+2*x^2+3)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037770 7.27917 [(x^3+2*x^2+3)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037771 6.41419 [(x^3+2*x^2+3)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037772 4.34644 [-(5109093*f(x)+2398960)*(4*f(x)*x^4-5*f(x)*x^3+5*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037772 8.23589 [-(-13+26*x-34*x^4+68*x^3+16*x^5-45*x^2)/(x-1)/(4*x-1)/(x^2+1)/(2*x^2-2*x+3) lgdogf] A037772 9.13381 [(2*x^2-2*x+3)/(4*x-1)/(x-1)/(x^2+1) ogf] A037773 4.14573 [-(31597*f(x)+11765)*(5*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037773 7.53118 [-2*(-8+16*x-27*x^2+42*x^3-21*x^4+10*x^5)/(x-1)/(5*x-1)/(1+x^2)/(2*x^2-2*x+3) lgdogf] A037773 8.47171 [(2*x^2-2*x+3)/(x-1)/(5*x-1)/(x^2+1) ogf] A037774 3.91907 [-(10353631*f(x)+3248880)*(6*f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037774 7.37107 [-(-19+38*x-63*x^2+100*x^3-50*x^4+24*x^5)/(6*x-1)/(x-1)/(1+x^2)/(2*x^2-2*x+3) lgdogf] A037774 8.29252 [(2*x^2-2*x+3)/(6*x-1)/(x-1)/(x^2+1) ogf] A037775 3.80323 [-(2801985*f(x)+765247)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037775 6.87036 [-2*(-11+22*x+14*x^5+58*x^3-29*x^4-36*x^2)/(x-1)/(-1+7*x)/(1+x^2)/(2*x^2-2*x+3) lgdogf] A037775 7.93719 [(2*x^2-2*x+3)/(x-1)/(7*x-1)/(x^2+1) ogf] A037776 3.45293 [-(725899241*f(x)+176075680)*(8*f(x)*x^4-9*f(x)*x^3+9*f(x)*x^2-9*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037776 6.53149 [-(-25+50*x+32*x^5-66*x^4+132*x^3-81*x^2)/(-1+8*x)/(x-1)/(1+x^2)/(2*x^2-2*x+3) lgdogf] A037776 7.45632 [(2*x^2-2*x+3)/(8*x-1)/(x-1)/(x^2+1) ogf] A037777 3.17548 [-(23313269*f(x)+5094405)*(9*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-10*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037777 5.99757 [-2*(-14+28*x+18*x^5-37*x^4+74*x^3-45*x^2)/(x-1)/(9*x-1)/(x^2+1)/(2*x^2-2*x+3) lgdogf] A037777 6.57147 [(2*x^2-2*x+3)/(9*x-1)/(x-1)/(x^2+1) ogf] A037778 4.59214 [-(141970899*f(x)+28250560)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A037778 8.79516 [-(-31+62*x+40*x^5-82*x^4+164*x^3-99*x^2)/(10*x-1)/(-1+x)/(1+x^2)/(3-2*x+2*x^2) lgdogf] A037778 9.56171 [(2*x^2-2*x+3)/(10*x-1)/(x-1)/(x^2+1) ogf] A037779 10.3317 [(2*x^2+x+3)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037779 7.35347 [-(-13-4*x+24*x^6+57*x^4-12*x^3+12*x^5+8*x^2)/(x-1)/(4*x-1)/(x+1)/(x^2+1)/(2*x^2+x+3) lgdogf] A037780 6.85017 [-2*(-8-2*x+5*x^2-6*x^3+36*x^4+8*x^5+15*x^6)/(-1+x)/(5*x-1)/(x+1)/(x^2+1)/(2*x^2+x+3) lgdogf] A037780 9.63266 [(2*x^2+x+3)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037781 6.59061 [-(-19-4*x+36*x^6+12*x^2-12*x^3+87*x^4+20*x^5)/(x-1)/(6*x-1)/(x+1)/(1+x^2)/(2*x^2+x+3) lgdogf] A037781 9.38007 [(2*x^2+x+3)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037782 6.23126 [-2*(-11-2*x+21*x^6+12*x^5-6*x^3+51*x^4+7*x^2)/(x-1)/(-1+7*x)/(1+x)/(1+x^2)/(2*x^2+x+3) lgdogf] A037782 8.97813 [(2*x^2+x+3)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037783 5.78074 [-(-25-4*x+48*x^6+28*x^5+117*x^4-12*x^3+16*x^2)/(x-1)/(-1+8*x)/(x+1)/(1+x^2)/(2*x^2+x+3) lgdogf] A037783 8.43420 [(2*x^2+x+3)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037784 5.43310 [-2*(-14-2*x+27*x^6+16*x^5+66*x^4-6*x^3+9*x^2)/(x-1)/(9*x-1)/(x+1)/(x^2+1)/(2*x^2+x+3) lgdogf] A037784 7.75649 [(2*x^2+x+3)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037785 6.82144 [(2*x^2+x+3)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037786 4.50167 [-(69933*f(x)+8120)*(4*f(x)*x^4-5*f(x)*x^3+5*f(x)*x^2-5*f(x)*x-x^2+f(x)+x-3) ogf] A037786 8.82416 [-(-14+28*x-17*x^4+58*x^3+8*x^5-45*x^2)/(x-1)/(4*x-1)/(x^2+1)/(x^2-x+3) lgdogf] A037786 9.13381 [(x^2-x+3)/(4*x-1)/(x-1)/(x^2+1) ogf] A037787 4.13798 [-(350204*f(x)-30835)*(5*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x-x^2+f(x)+x-3) ogf] A037787 7.99186 [-(-17+34*x-54*x^2+72*x^3-21*x^4+10*x^5)/(5*x-1)/(-1+x)/(x^2+1)/(x^2-x+3) lgdogf] A037787 8.51583 [(x^2-x+3)/(x-1)/(5*x-1)/(x^2+1) ogf] A037788 3.97351 [-(3633439*f(x)-522168)*(6*f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x-x^2+f(x)+x-3) ogf] A037788 7.89016 [-(-20+40*x-63*x^2+86*x^3-25*x^4+12*x^5)/(6*x-1)/(x-1)/(1+x^2)/(x^2-x+3) lgdogf] A037788 8.29252 [(x^2-x+3)/(6*x-1)/(x-1)/(x^2+1) ogf] A037789 3.72562 [-(99446418*f(x)-15361927)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x-x^2+f(x)+x-3) ogf] A037789 7.34093 [-(-23+46*x+14*x^5+100*x^3-29*x^4-72*x^2)/(x-1)/(-1+7*x)/(1+x^2)/(x^2-x+3) lgdogf] A037789 7.93719 [(x^2-x+3)/(x-1)/(7*x-1)/(x^2+1) ogf] A037790 3.47626 [-(260036585*f(x)-39139888)*(8*f(x)*x^4-9*f(x)*x^3+9*f(x)*x^2-9*f(x)*x-x^2+f(x)+x-3) ogf] A037790 6.88938 [-(-26+52*x+16*x^5-33*x^4+114*x^3-81*x^2)/(-1+8*x)/(x-1)/(1+x^2)/(x^2-x+3) lgdogf] A037790 7.45632 [(x^2-x+3)/(8*x-1)/(x-1)/(x^2+1) ogf] A037791 3.23796 [-(2692936*f(x)-382059)*(9*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-10*f(x)*x-x^2+f(x)+x-3) ogf] A037791 6.45342 [-(-29+58*x-37*x^4+128*x^3+18*x^5-90*x^2)/(x-1)/(9*x-1)/(x^2+1)/(3-x+x^2) lgdogf] A037791 6.61082 [(x^2-x+3)/(9*x-1)/(x-1)/(x^2+1) ogf] A037792 2.86501 [-(51572499*f(x)-6815920)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x-x^2+f(x)+x-3) ogf] A037792 5.65758 [-(-32+64*x+20*x^5-41*x^4+142*x^3-99*x^2)/(10*x-1)/(-1+x)/(1+x^2)/(3-x+x^2) lgdogf] A037792 5.88700 [(x^2-x+3)/(10*x-1)/(x-1)/(x^2+1) ogf] A037793 10.3317 [(x^2+2*x+3)/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A037793 7.62582 [-2*(-7-x+6*x^6+27*x^4-6*x^3+15*x^5+2*x^2)/(x-1)/(4*x-1)/(x+1)/(x^2+1)/(3+2*x+x^2) lgdogf] A037794 6.76958 [-(-17-2*x+5*x^2-12*x^3+69*x^4+38*x^5+15*x^6)/(-1+x)/(5*x-1)/(x+1)/(x^2+1)/(x^2+2*x+3) lgdogf] A037794 9.63266 [(x^2+2*x+3)/(x-1)/(5*x-1)/(x+1)/(x^2+1) ogf] A037795 6.83173 [-2*(-10-x+9*x^6+3*x^2-6*x^3+42*x^4+23*x^5)/(x-1)/(6*x-1)/(x+1)/(1+x^2)/(x^2+2*x+3) lgdogf] A037795 9.38007 [(x^2+2*x+3)/(x-1)/(6*x-1)/(x+1)/(x^2+1) ogf] A037796 6.30457 [-(-23-2*x+21*x^6+54*x^5-12*x^3+99*x^4+7*x^2)/(x-1)/(-1+7*x)/(1+x)/(1+x^2)/(x^2+2*x+3) lgdogf] A037796 8.97813 [(x^2+2*x+3)/(x-1)/(7*x-1)/(x+1)/(x^2+1) ogf] A037797 5.98720 [-2*(-13-x+12*x^6+31*x^5+57*x^4-6*x^3+4*x^2)/(x-1)/(-1+8*x)/(x+1)/(1+x^2)/(3+2*x+x^2) lgdogf] A037797 8.43420 [(x^2+2*x+3)/(x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A037798 5.46643 [-(-29+27*x^6-2*x+129*x^4-12*x^3+70*x^5+9*x^2)/(x-1)/(9*x-1)/(x+1)/(x^2+1)/(x^2+2*x+3) lgdogf] A037798 7.80293 [(x^2+2*x+3)/(x-1)/(9*x-1)/(x+1)/(x^2+1) ogf] A037799 6.82144 [(x^2+2*x+3)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A037824 12.2642 [x^8/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A037825 11.2495 [x^9/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A037833 7.96121 [-x^9*(x^11-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A037860 8.35679 [-x^9/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A037878 8.35679 [-x^9/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A037913 10.4606 [-x*(2+11*x^9+9*x^11)/(x-1)/(1+x^2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A037913 9.61724 [-x^9*(x^2+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A037915 12.6262 [-(1+3*x+4*x^5+2*x^6+7*x^3+2*x^4+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+1) lgdogf] A037915 13.8615 [(x^3+x^2+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A037925 2.81425 [(f(x)*x-f(x)-14*x+16)^3 ogf] A037951 9.31418 [-1/2*(32*x^2+2*x-7+7*(-(2*x-1)*(1+2*x))^(1/2))/x/(1+2*x)/(2*x-1) lgdogf] A037952 4.46535 [{(4*n^2+20*n+24)*a(n+1)+(6+2*n)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A037952 7.89662 [-2*f(x)^2*x^3+f(x)^2*x^2-2*f(x)*x^2-f(x)*x+f(x)-x ogf] A037953 8.66435 [-1/2*(48*x^2+2*x-11+11*(-(2*x-1)*(2*x+1))^(1/2))/x/(2*x+1)/(2*x-1) lgdogf] A037955 3.67452 [{(4*n^2+20*n+24)*a(n+1)+(6+2*n)*a(n+2)+(-n^2-7*n-6)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A037955 8.38668 [2*f(x)^2*x^4-f(x)^2*x^3-2*f(x)*x^3+3*f(x)*x^2+f(x)*x+x^2-f(x) ogf] A037957 9.05914 [-1/2*(56*x^2+2*x-13+13*(-(2*x-1)*(1+2*x))^(1/2))/x/(1+2*x)/(2*x-1) lgdogf] A037958 8.63532 [-1/2*(72*x^2+2*x-17+17*(-(2*x-1)*(2*x+1))^(1/2))/x/(2*x+1)/(2*x-1) lgdogf] A037959 9.49079 [-5*(6+26*x+3*x^3+21*x^2)/(x-1)/(3*x^3+16*x^2+14*x+2) lgdegf] A037960 10.2296 [-x*(2*x+1)/(x-1)^5 egf] A037960 23.6485 [-(7+8*x)/(1+2*x)/(x-1) lgdegf] A037960 4.51305 [{(4*n^2+24*n+32)*a(n+1)+(3*n^2+23*n+62)*a(n+2)+(-6-3*n)*a(n+3),a(0)=0,a(1)=1,a(2)=14} ogf] A037961 2.99987 [{(8*n^2+64*n+120)*a(n+1)+(n^2+3*n+32)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=30} ogf] A037961 5.04929 [-x*(6*x^2+8*x+1)/(x-1)^7 egf] A037962 8.46630 [-(31+292*x+144*x^3+478*x^2)/(x-1)/(24*x^3+58*x^2+22*x+1) lgdegf] A037963 6.96894 [-21*(3+56*x+204*x^2+192*x^3+40*x^4)/(x-1)/(120*x^4+444*x^3+328*x^2+52*x+1) lgdegf] A037965 22.5755 [-4*(x-1)/(-1+4*x)/(2*x-1) lgdogf] A037965 3.82530 [{(-2-n)*a(n+3)+(10+6*n)*a(n+2)+(-4-8*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A037965 7.20541 [-64*f(x)^2*x^3+48*f(x)^2*x^2-4*x^4-12*f(x)^2*x+4*x^3+f(x)^2-x^2 ogf] A037966 14.2923 [-4*(2-x+2*x^2)/(4*x-1)/(4*x^2-2*x+1) lgdogf] A037972 10.0057 [-12*(-1+2*x^3-2*x^2)/(4*x-1)/(12*x^3-10*x^2+2*x-1) lgdogf] A038033 2.91557 [{(n^2+11*n+30)*a(n+1)+(n^2+9*n+18)*a(n+2)+(-n-3)*a(n+3),a(0)=6,a(1)=24,a(2)=180} ogf] A038035 18.9564 [2*x*(-1+x)/(-2+x^2) revegf] A038035 4.57582 [-2*f(x)^2*x^4+12*f(x)^2*x^3-25*f(x)^2*x^2+20*f(x)^2*x+4*f(x)*x^2-4*f(x)^2-8*f(x)*x+2*f(x)+2 egf] A038112 3.47446 [{(27*n^2+108*n+105)*a(n+1)+(22*n^2+99*n+110)*a(n+2)+(-5*n^2-25*n-30)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A038112 8.57035 [27*f(x)^3*x^2+22*f(x)^3*x-5*f(x)^3+4*f(x)+1 ogf] A038121 4.79778 [{(-2*n^2-19*n-45)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=28} ogf] A038121 9.83009 [-7*(8+60*x+60*x^2+5*x^3)/(-1+2*x)/(5*x^3+45*x^2+30*x+2) lgdegf] A038122 4.74994 [(4*x^15+60*x^14+12*x^13+8*x^12-60*x^11-12*x^10-8*x^9+60*x^8+12*x^7+7*x^6-63*x^5-12*x^4-15*x^3-3*x-1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A038123 13.7464 [-(9+19*x+10*x^4+20*x^3+26*x^2)/(x-1)/(x^2+x+1)/(5*x^2+5*x+4) lgdogf] A038123 13.7861 [(5*x^2+5*x+4)/(x^2+x+1)/(x-1)^2 ogf] A038123 4.88927 [{(-14*n-55)*a(n+1)-14*a(n+2)-14*a(n+3)+(14*n+41)*a(n+4),a(0)=4,a(1)=9,a(2)=14,a(3)=18} ogf] A038123 7.18765 [(448*f(x)+18469)*(f(x)*x^4-f(x)*x^3-f(x)*x-5*x^2+f(x)-5*x-4) ogf] A038126 15.6140 [x*(3*x+2)/(x+1)/(x-1)^2 ogf] A038126 25.8095 [-(5+9*x+6*x^2)/(x-1)/(3*x+2)/(1+x) lgdogf] A038126 7.73914 [-(115*f(x)-187)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-2*x) ogf] A038126 8.01802 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A038127 10.6795 [x*(x+1)*(x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A038127 11.8065 [-(5+9*x+16*x^2+12*x^3+5*x^4+x^5)/(-1+x)/(x+1)/(x^2+x+1)/(x^2+x+2) lgdogf] A038127 5.02970 [{(4*n+7)*a(n)+4*a(n+1)+4*a(n+2)+(-4*n-3)*a(n+3),a(0)=0,a(1)=2,a(2)=5,a(3)=7} ogf] A038127 6.09066 [-(4*f(x)-23)*(f(x)*x^4-f(x)*x^3-x^4-2*x^3-f(x)*x-3*x^2+f(x)-2*x) ogf] A038130 7.97403 [x*(x^7+6*x^6+6*x^5+6*x^4+7*x^3+6*x^2+6*x+6)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A038138 12.0523 [-x*(2*x^5+6*x^4+3*x^3+6*x^2+3*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A038139 11.3480 [-(2*x^7+3*x^6+6*x^4+3*x^3+6*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A038151 5.16434 [f(x)^2*x^3+3*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2-f(x)^2-2*f(x)*x+f(x)+x ogf] A038152 6.59377 [(x^7+23*x^6+23*x^5+23*x^4+23*x^3+23*x^2+23*x+23)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A038154 4.14652 [{(-n^2-5*n-6)*a(n+1)+(n^2+5*n+6)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A038154 56.1539 [(-2+x)/(x-1) lgdegf] A038155 3.97688 [{(-n^2-5*n-6)*a(n+1)+(n^2+5*n+6)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A038155 58.7298 [(x-2)/(x-1) lgdegf] A038156 4.24028 [{(n^2+3*n+2)*a(n)+(-n^2-4*n-4)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A038157 3.76224 [{(n^2+5*n+6)*a(n+1)+(-n^2-5*n-6)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A038158 3.69158 [{(n^2+5*n+6)*a(n+1)+(-n^2-5*n-6)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A038163 10.0693 [1/(x+1)^3/(x-1)^6 ogf] A038163 15.7905 [-(-9*x-3)/(-x^2+1) lgdogf] A038163 30.9195 [-3*(3*x+1)/(x-1)/(x+1) lgdogf] A038163 32.8422 [[3+3*x] ogf_with_Euler_transform] A038163 5.14652 [{(n+3)*a(n+3)-3*a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A038164 15.2809 [-(-12*x-4)/(-x^2+1) lgdogf] A038164 30.6152 [-4*(1+3*x)/(x-1)/(x+1) lgdogf] A038164 32.4676 [[4+4*x] ogf_with_Euler_transform] A038164 5.05618 [{(n+3)*a(n+3)-4*a(n+2)+(-13-n)*a(n+1),a(0)=1,a(1)=4,a(2)=14} ogf] A038164 5.68298 [1/(x+1)^4/(x-1)^8 ogf] A038165 15.4803 [-(-15*x-5)/(-x^2+1) lgdogf] A038165 31.0341 [-5*(1+3*x)/(x-1)/(x+1) lgdogf] A038165 32.8682 [[5+5*x] ogf_with_Euler_transform] A038165 4.61334 [1/(x+1)^5/(x-1)^10 ogf] A038165 5.12216 [{(n+3)*a(n+3)-5*a(n+2)+(-16-n)*a(n+1),a(0)=1,a(1)=5,a(2)=20} ogf] A038166 15.0409 [-(-18*x-6)/(-x^2+1) lgdogf] A038166 30.1470 [-6*(3*x+1)/(x-1)/(x+1) lgdogf] A038166 31.9092 [[6+6*x] ogf_with_Euler_transform] A038166 4.97676 [{(n+3)*a(n+3)-6*a(n+2)+(-19-n)*a(n+1),a(0)=1,a(1)=6,a(2)=27} ogf] A038167 8.44881 [-(3+9*x+7*x^7+18*x^2+20*x^3+25*x^4+37*x^5+31*x^6)/(x-1)/(x+1)/(x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A038167 9.18727 [-x*(x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A038179 11.1293 [(-3-7*x+2*x^5-2*x^4-9*x^3-5*x^2)/(x-1)/(x+1)/(2*x^4+x^3+x+2) lgdogf] A038179 4.71424 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2),a(0)=2,a(1)=3,a(2)=5,a(3)=7,a(4)=11} ogf] A038179 5.74425 [(4*f(x)-3)*(f(x)*x^3-2*x^4-f(x)*x^2-x^3-f(x)*x+f(x)-x-2) ogf] A038179 9.90674 [(2*x^4+x^3+x+2)/(x+1)/(x-1)^2 ogf] A038196 10.1607 [-(1+2*x-5*x^6+3*x^4+4*x^3+4*x^7-8*x^5+2*x^2)/(x^2-x-1)/(x^6-x^4-2*x^2+1) lgdogf] A038196 11.4835 [-(x^2-x-1)/(x^6-x^4-2*x^2+1) ogf] A038197 6.27622 [-(x^5-2*x^4+2*x^3-x^2-1)/(x^2-x+1)/(x^9-3*x^3+1) ogf] A038201 5.61254 [-(x^12-x^11-x^8+x^7-x^5-2*x^4+x^3+x^2+x+1)/(x^20-x^16-4*x^12+3*x^8+3*x^4-1) ogf] A038205 19.2224 [-x^2/(x-1) lgdegf] A038205 4.04682 [{(n^2+5*n+6)*a(n+1)+(n+3)*a(n+3)-a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=2} ogf] A038205 40.5957 [x^2+(-1+x)*f(x) lgdegf] A038213 10.6219 [-(3-8*x+12*x^2-6*x^3+x^4)/(x^2-3*x+1)/(x^3-5*x^2+6*x-1) lgdogf] A038213 5.27939 [(17*f(x)+11)*(f(x)*x^3-5*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A038213 5.27939 [{-a(n+3)+6*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=14} ogf] A038213 9.77985 [-(x^2-3*x+1)/(x^3-5*x^2+6*x-1) ogf] A038223 15.2226 [-1/(x^3-5*x^2+6*x-1) ogf] A038223 16.2076 [-(6-10*x+3*x^2)/(-5*x^2-1+6*x+x^3) lgdogf] A038223 4.98439 [{a(n+3)-6*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=31} ogf] A038223 5.5766 [(104*f(x)-9)*(f(x)*x^3-5*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A038223 8.66517 [-(3*x^2-10*x+6)/(x^3-5*x^2+6*x-1) lgdogf] A038225 4.23173 [-(f(x)+1)*(f(x)*x^4-7*f(x)*x^3+15*f(x)*x^2+x^3-10*f(x)*x-5*x^2+f(x)+6*x-1) ogf] A038225 7.14644 [-(4-20*x+x^6-10*x^5+38*x^4-68*x^3+58*x^2)/(x-1)/(x^3-5*x^2+6*x-1)/(x^3-6*x^2+9*x-1) lgdogf] A038225 7.65996 [-(x^3-5*x^2+6*x-1)/(x-1)/(x^3-6*x^2+9*x-1) ogf] A038235 12.2766 [1/(x-1)/(x^3-6*x^2+9*x-1) ogf] A038235 12.7943 [-(-10+30*x+4*x^3-21*x^2)/(x-1)/(x^3-6*x^2+9*x-1) lgdogf] A038235 5.04926 [(9367*f(x)+254)*(f(x)*x^4-7*f(x)*x^3+15*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A038235 7.36598 [-(-4*x^3+21*x^2-30*x+10)/(-x^4+7*x^3-15*x^2+10*x-1) lgdogf] A038237 7.92506 [(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x-1)/(x+1)/(x^3-3*x+1)/(x^3-3*x-1) ogf] A038249 8.10061 [-(x^3+x^2-2*x-1)/(x-1)/(x+1)/(x^3-3*x+1)/(x^3-3*x-1) ogf] A038261 5.60378 [-(x-1)*(x^3-6*x^2+9*x-1)/(x^5-9*x^4+28*x^3-35*x^2+15*x-1) ogf] A038339 7.79133 [-(15-70*x+5*x^4-36*x^3+84*x^2)/(-35*x^2-1+15*x-9*x^4+28*x^3+x^5) lgdogf] A038339 9.10675 [-1/(x^5-9*x^4+28*x^3-35*x^2+15*x-1) ogf] A038340 5.18598 [(x+1)*(x^2+x-1)*(x^4-x^3-4*x^2+4*x+1)/(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A038341 7.06077 [(x^3+x^2-2*x-1)/(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A038342 11.3330 [-1/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A038348 15.0077 [-(x^3-x-1)/(-x^2+1) ogf_with_Euler_transform] A038360 7.88606 [(3*f(x)+128)*(2*f(x)*x^4+f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A038376 12.0544 [-(-21*x^2-14*x-5)/(-3*x^3-x^2+3*x+1) lgdogf] A038376 19.8304 [-(5+14*x+21*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A038376 4.01814 [{(n^2+3*n-4)*a(n+1)+(-4+2*n)*a(n+2)+(-n^2+3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1,a(5)=5} ogf] A038376 8.55475 [-x^4*(3*x+1)/(x+1)^3/(x-1)^5 ogf] A038390 12.7700 [-(2+6*x+5*x^5+14*x^4+6*x^3+15*x^2)/(x-1)/(x^2+x+1)/(x^3+2*x^2+1) lgdogf] A038390 7.93190 [(x^3+2*x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A038390 8.86010 [-(5*x^5+14*x^4+6*x^3+15*x^2+6*x+2)/(x^6+2*x^5-2*x^2-1) lgdogf] A038391 13.1820 [-(4+6*x+5*x^5+2*x^4+16*x^3+15*x^2)/(x-1)/(x^2+x+1)/(x^3+2*x+1) lgdogf] A038391 8.24603 [(x^3+2*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A038391 9.25388 [-(-5*x^5-2*x^4-16*x^3-15*x^2-6*x-4)/(-x^6-2*x^4+2*x+1) lgdogf] A038395 3.28898 [-(810000000*x^6+53100000*x^5+3690000*x^4+207000*x^3+4500*x^2-170*x+1)/(x-1)/(100*x-1)^2 ogf] A038396 5.42868 [-2*(36000000*x^5+2250000*x^4+144000*x^3+6300*x^2-180*x+1)/(x-1)/(100*x-1)^2 ogf] A038408 21.4197 [x^4-3*x^3+x^2+4 ogf_with_Euler_transform] A038408 5.20903 [-(x^2+1)^3*(x+1)^3/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A038408 7.44362 [-(4+12*x+27*x^6+30*x^5+27*x^2+30*x^3+34*x^4+4*x^8+12*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A038451 6.10231 [-(f(x)*x^2-11*f(x)*x+10*f(x)-8888888889*x-1111111110)^2 ogf] A038454 4.41076 [{-10*a(n+2)+11*a(n+1)-a(n),a(0)=111111111111,a(1)=1011111111111} ogf] A038454 6.64720 [3*(2962962962963*x+370370370370)/(x-1)/(x-10) ogf] A038459 12.0465 [-(1000*x^3-1000*x-1)/(x-1)^2/(x+1)^2 ogf] A038459 14.5742 [-4*(-250-x+250*x^4)/(x-1)/(x+1)/(1000*x^3-1000*x-1) lgdogf] A038459 7.29743 [(f(x)+500005)*(f(x)*x^4-2*f(x)*x^2+1000*x^3+f(x)-1000*x-1) ogf] A038459 8.72336 [-(-1000*x^4+4*x+1000)/(-1000*x^5+2000*x^3+x^2-1000*x-1) lgdogf] A038463 3.97246 [(x^15-8193*x^14+16791550*x^13-16781310*x^12-x^2-4093*x+33554430)/(x-1)/(x-2)/(x^13-2049*x^12-x+4097) ogf] A038503 16.2033 [(1-4*x+6*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A038503 5.13881 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A038503 7.77486 [f(x)*(4*f(x)*x^3-6*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A038503 9.16653 [-(6*x^2-4*x+1)/(-4*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A038503 9.83077 [(x-1)^3/(2*x-1)/(2*x^2-2*x+1) ogf] A038504 10.4357 [-x*(x-1)^2/(2*x-1)/(2*x^2-2*x+1) ogf] A038504 13.0948 [-2*(-1+4*x-6*x^2+2*x^3)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A038504 5.17804 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A038504 6.11101 [-f(x)*(4*f(x)*x^3-6*f(x)*x^2+x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A038504 8.17257 [-(-4*x^3+12*x^2-8*x+2)/(-4*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A038505 11.1200 [x^2*(x-1)/(2*x-1)/(2*x^2-2*x+1) ogf] A038505 12.9116 [-(-3+12*x-18*x^2+8*x^3)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A038505 5.21787 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A038505 7.6216 [-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x) ogf] A038505 8.07527 [-(8*x^3-18*x^2+12*x-3)/(4*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A038507 3.08596 [{(n^2+4*n+4)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+1)*a(n+3),a(0)=2,a(1)=2,a(2)=3} ogf] A038508 5.11987 [(2*f(x)-15)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)+2*x-1) ogf] A038508 5.11988 [{a(n+3)-4*a(n+2)+2*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A038508 9.03860 [-2*(1-3*x+2*x^4+8*x^3-2*x^2)/(2*x-1)/(2*x^2+2*x-1)/(x^2+2*x-1) lgdogf] A038508 9.40043 [-(x^2+2*x-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A038518 11.8509 [x*(x^2-x-1)/(2*x-1)/(2*x^2+2*x+1) ogf] A038518 11.8721 [-(-1-2*x-14*x^2-8*x^3+4*x^4)/(2*x-1)/(2*x^2+2*x+1)/(x^2-x-1) lgdogf] A038518 6.39738 [{a(n+4)-2*a(n+2)-4*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A038518 7.15746 [-(f(x)+1)*(4*f(x)*x^3+2*f(x)*x^2-x^3+x^2-f(x)+x) ogf] A038518 7.45262 [-(-4*x^4+8*x^3+14*x^2+2*x+1)/(-4*x^5+2*x^4+6*x^3+3*x^2-x-1) lgdogf] A038519 11.1200 [(x^3+x^2-1)/(2*x-1)/(2*x^2+2*x+1) ogf] A038519 11.9256 [-x*(x+2)*(2*x^2-4*x-1)/(2*x-1)/(2*x^2+2*x+1)/(x^3+x^2-1) lgdogf] A038519 6.00286 [{a(n+4)-2*a(n+2)-4*a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=3} ogf] A038519 7.70822 [-(2*x^4-9*x^2-2*x)/(4*x^6+6*x^5+2*x^4-5*x^3-3*x^2+1) lgdogf] A038519 9.0443 [-4*f(x)*x^3-2*f(x)*x^2+x^3+x^2+f(x)-1 ogf] A038520 10.072 [-4*f(x)*x^3-2*f(x)*x^2-x^3+f(x)-x ogf] A038520 12.7326 [-x*(x^2+1)/(2*x-1)/(2*x^2+2*x+1) ogf] A038520 13.9132 [-2*x*(3+6*x+2*x^3)/(2*x-1)/(1+x^2)/(2*x^2+2*x+1) lgdogf] A038520 6.02523 [{-a(n+4)+2*a(n+2)+4*a(n+1),a(0)=0,a(1)=1,a(2)=0,a(3)=3} ogf] A038520 8.33119 [-(4*x^4+12*x^2+6*x)/(4*x^5+2*x^4+4*x^3+x^2-1) lgdogf] A038521 13.4583 [-x*(x+2)/(2*x-1)/(2*x^2+2*x+1) ogf] A038521 14.0560 [-(1+8*x+8*x^3+26*x^2)/(-1+2*x)/(x+2)/(2*x^2+2*x+1) lgdogf] A038521 7.66976 [{-a(n+3)+2*a(n+1)+4*a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A038521 8.01447 [(f(x)+4)*(4*f(x)*x^3+2*f(x)*x^2+x^2-f(x)+2*x) ogf] A038521 8.69863 [-(8*x^3+26*x^2+8*x+1)/(4*x^4+10*x^3+4*x^2-x-2) lgdogf] A038565 7.74448 [(6*x^20-4*x^19+2*x^18-2*x^17+x^14-x^13+2*x^11-2*x^9-2*x^4+x^3-x^2-1)/(x-1) ogf] A038577 5.94127 [(3+6*x+11*x^6+4*x^5-4*x^7-7*x^4-16*x^3+2*x^9-8*x^8+x^10)/(x-1)/(x+1)/(x^2+x-1)/(x^7-x^4-x^3+2*x+1) lgdogf] A038577 7.79387 [-(x^7-x^4-x^3+2*x+1)/(x^2+x-1)/(x-1)^2/(x+1)^2 ogf] A038578 7.13998 [-(x^2+1)*(3*x^4+6*x^3+2*x^2-6*x-1)/(x^3+x^2+x-1)^2 ogf] A038578 8.95445 [8*(x+1)*(x^5-x^4-2*x^3+3*x^2+1)/(1+x^2)/(x^3+x^2+x-1)/(3*x^4+6*x^3+2*x^2-6*x-1) lgdogf] A038579 6.58444 [-(x^6+2*x^5-x^4-4*x^3-x^2-2*x-1)/(x^3+x^2+x-1)^2 ogf] A038579 8.69096 [4*(1+x)*(2*x^5+x^4-2*x^3+5*x^2+x+1)/(x^6+2*x^5-x^4-4*x^3-x^2-2*x-1)/(x^3+x^2+x-1) lgdogf] A038587 12.4901 [-(-x^2-3*x-2)/(x^2+x+1) ogf_with_Euler_transform] A038602 3.20800 [{(-16*n^2-104*n-160)*a(n+1)+(8*n^2+58*n+100)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=3,a(1)=16,a(2)=73} ogf] A038602 5.9348 [-16*f(x)^2*x^4+8*f(x)^2*x^3-f(x)^2*x^2-4*f(x)*x+f(x)-4*x-3 ogf] A038608 115.215 [-2/(x+1) lgdogf] A038608 13.4921 [f(x)*x^2+2*f(x)*x+f(x)+x ogf] A038608 24.1222 [-x/(x+1)^2 ogf] A038608 28.4298 [-2/(x+1) lgdogf] A038608 37.7683 [[-2+2*x] ogf_with_Euler_transform] A038608 38.4051 [-4*x/(1+(4*x+1)^(1/2))^2 revogf] A038608 9.82758 [{-a(n+2)-2*a(n+1)-a(n),a(0)=0,a(1)=-1} ogf] A038620 6.26511 [-(x+1)*(2*x^8-4*x^7+3*x^6-x^5+6*x^4+2*x^3+2*x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A038621 5.25448 [(x+1)*(2*x^8-4*x^7+3*x^6-x^5+6*x^4+2*x^3+2*x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A038629 13.9729 [-3/8-1/8*x^2+1/8*((x^2-2*x+9)*(x+1)^2)^(1/2) revogf] A038629 17.9199 [4*x+3-f(x)+f(x)^2*x^2 ogf] A038629 5.14493 [{(-4*n^2-18*n-18)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=3,a(1)=4} ogf] A038629 8.59838 [-1/8*x^2-3/8+1/8*(x^4+6*x^2+16*x+9)^(1/2) revogf] A038665 11.6528 [-1/8*(-3-8*x-x^2+((x^2+2*x+9)*(-1+x)^2)^(1/2))/(x+2)^2 revogf] A038665 3.54677 [{(16*n^2+72*n+80)*a(n+1)+(-8*n^2-50*n-76)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=3,a(1)=8,a(2)=25} ogf] A038665 6.35611 [-4*f(x)^2*x^3+f(x)^2*x^2-16*f(x)*x^2+8*f(x)*x-f(x)-16*x+3 ogf] A038665 6.61821 [-1/8*(-x^2+(x^4+6*x^2-16*x+9)^(1/2)-8*x-3)/(x^2+4*x+4) revogf] A038679 3.76908 [{(16*n+40)*a(n+1)+(-8*n-30)*a(n+2)+(n+5)*a(n+3),a(0)=3,a(1)=14,a(2)=59} ogf] A038679 4.82816 [-16*f(x)^2*x^4+8*f(x)^2*x^3-f(x)^2*x^2-24*f(x)*x^2+10*f(x)*x-f(x)-16*x+3 ogf] A038687 5.53094 [-(9*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-11)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A038697 3.14273 [{(-16*n^2-120*n-224)*a(n+1)+(8*n^2+62*n+118)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=3,a(1)=26,a(2)=163} ogf] A038707 11.8579 [-(5+8*x+8*x^2+16*x^3+7*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(x^2+x+2) lgdogf] A038707 8.88131 [-x^2*(x^2+x+2)/(x^2+1)/(x+1)/(x-1)^3 ogf] A038709 6.20490 [-(2+4*x+5*x^12+8*x^11+4*x^10+12*x^9+6*x^8+16*x^7+4*x^2+8*x^3+11*x^4+8*x^5+8*x^6)/(x-1)/(x+1)/(x^2+1)/(x^5+x^4+x^2+1)/(x^4+1) lgdogf] A038709 8.27045 [-x^2*(x^5+x^4+x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A038714 12.8717 [-2*x^4/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A038714 13.0863 [-(9*x^3+x^2+x+1)/(x^4-1) lgdogf] A038714 18.6947 [-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=9 lgdogf] A038714 31.2808 [[2*x^3+1] ogf_with_Euler_transform] A038715 10.3313 [-(-2-5*x^2-10*x^3+10*x^4-10*x^5+5*x^6)/(x-1)/(x+1)/(1+x^2)/(x^3-2*x^2+2*x-2) lgdogf] A038715 7.20345 [x^4*(x^3-2*x^2+2*x-2)/(x+1)/(x^2+1)^2/(x-1)^3 ogf] A038716 13.5375 [-(-2-4*x-x^2-11*x^3+x^4+5*x^5)/(x-1)/(x+1)/(x^2-2)/(1+x^2) lgdogf] A038716 8.44275 [-(-5*x^5-x^4+11*x^3+x^2+4*x+2)/(-x^6+2*x^4+x^2-2) lgdogf] A038716 8.44275 [x^4*(x^2-2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A038718 11.1407 [(x^2-x+1)/(x-1)/(x^3+x-1) ogf] A038718 13.7064 [-(-1+2*x^5-2*x^2+6*x^3-4*x^4)/(x-1)/(x^2-x+1)/(x^3+x-1) lgdogf] A038718 5.77977 [-(f(x)+6)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-2*f(x)*x-x^2+f(x)+x-1) ogf] A038720 13.0397 [(x-2)/(x-1)^3 egf] A038720 14.3980 [-(-2*x+5)/(-x^2+3*x-2) lgdegf] A038720 17.0967 [-(-2-2*x+(4+2*x)^(1/2))/(2*x+3) revegf] A038720 25.2381 [-(-5+2*x)/(x-1)/(x-2) lgdegf] A038720 4.04156 [{(-3*n^2-15*n-18)*a(n+1)+(-2*n^2-13*n-23)*a(n+2)+(2*n+6)*a(n+3),a(0)=2,a(1)=5,a(2)=18} ogf] A038720 6.58197 [(19*f(x)-60)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-x+2) egf] A038721 14.3769 [-2/(3*x-1)/(2*x-1)/(4*x-1) ogf] A038721 14.7767 [-(9-52*x+72*x^2)/(-1+3*x)/(2*x-1)/(4*x-1) lgdogf] A038721 5.28383 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=2,a(1)=18,a(2)=110} ogf] A038721 5.77765 [(5599*f(x)-8208)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x-f(x)+2) ogf] A038721 9.09129 [-(72*x^2-52*x+9)/(24*x^3-26*x^2+9*x-1) lgdogf] A038723 13.0576 [-(2*x-1)/(x^2-6*x+1) ogf] A038723 14.3854 [-1/2*(-1-6*x+(1+4*x+32*x^2)^(1/2))/(x+2) revogf] A038723 17.9817 [-2*(2-x+x^2)/(2*x-1)/(x^2-6*x+1) lgdogf] A038723 6.52881 [-(11*f(x)-3)*(f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A038723 7.16576 [{a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=4} ogf] A038723 9.03988 [-(-2*x^2+2*x-4)/(-2*x^3+13*x^2-8*x+1) lgdogf] A038725 12.5840 [-(4*x-1)/(x^2-6*x+1) ogf] A038725 13.8526 [-1/2*(-1-6*x+(1-4*x+32*x^2)^(1/2))/(x+4) revogf] A038725 15.8315 [-2*(1-x+2*x^2)/(-1+4*x)/(x^2+1-6*x) lgdogf] A038725 6.08904 [-(117*f(x)-101)*(f(x)*x^2-6*f(x)*x+f(x)+4*x-1) ogf] A038725 6.90587 [{a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A038725 8.58002 [-(-4*x^2+2*x-2)/(-4*x^3+25*x^2-10*x+1) lgdogf] A038731 11.5065 [-(-x^2+x-3)/(-x^3+4*x^2-4*x+1) lgdogf] A038731 25.8245 [-(3-x+x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038731 3.70058 [{(n+4)*a(n+4)+(-15-4*n)*a(n+3)+(9+4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=3,a(2)=10,a(3)=32} ogf] A038731 5.29797 [(22*f(x)-3)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A038731 9.44123 [-(x-1)^3/(x^2-3*x+1)^2 ogf] A038732 18.3379 [-(8-20*x+7*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038732 8.46610 [-1/(x^2-3*x+1)/(x-1)^5 ogf] A038732 9.50808 [-(7*x^2-20*x+8)/(x^3-4*x^2+4*x-1) lgdogf] A038733 17.1054 [-(10-26*x+9*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038733 6.12675 [-1/(x^2-3*x+1)/(x-1)^7 ogf] A038733 9.00447 [-(9*x^2-26*x+10)/(x^3-4*x^2+4*x-1) lgdogf] A038734 17.4339 [-(12-32*x+11*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038734 5.23444 [-1/(x^2-3*x+1)/(x-1)^9 ogf] A038734 9.29698 [-(11*x^2-32*x+12)/(x^3-4*x^2+4*x-1) lgdogf] A038735 16.8421 [-(14-38*x+13*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038735 8.98528 [-(13*x^2-38*x+14)/(x^3-4*x^2+4*x-1) lgdogf] A038736 5.07382 [-27*f(x)^3*x^3+193*f(x)^3*x^2-55*f(x)^3*x-54*f(x)^2*x^2+4*f(x)^3+35*f(x)^2*x+6*f(x)*x^2-4*f(x)^2+4*f(x)*x-x^2 ogf] A038737 11.5515 [-1/(x^2-3*x+1)/(x-1)^3 ogf] A038737 18.8575 [-(6-14*x+5*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038737 9.77431 [-(5*x^2-14*x+6)/(x^3-4*x^2+4*x-1) lgdogf] A038739 10.0249 [-(6*x^2-17*x+7)/(x^3-4*x^2+4*x-1) lgdogf] A038739 18.7820 [-(2*x-1)*(3*x-7)/(x-1)/(x^2-3*x+1) lgdogf] A038739 9.58265 [1/(x^2-3*x+1)/(x-1)^4 ogf] A038740 18.7280 [-(9-23*x+8*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038740 7.33605 [1/(x^2-3*x+1)/(x-1)^6 ogf] A038740 9.70615 [-(8*x^2-23*x+9)/(x^3-4*x^2+4*x-1) lgdogf] A038741 16.6848 [-(11-29*x+10*x^2)/(-1+x)/(x^2-3*x+1) lgdogf] A038741 5.47646 [1/(x^2-3*x+1)/(x-1)^8 ogf] A038741 9.15469 [-(10*x^2-29*x+11)/(x^3-4*x^2+4*x-1) lgdogf] A038742 16.3045 [-(13-35*x+12*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038742 8.70449 [-(12*x^2-35*x+13)/(x^3-4*x^2+4*x-1) lgdogf] A038743 8.35042 [-(14*x^2-41*x+15)/(x^3-4*x^2+4*x-1) lgdogf] A038754 11.8029 [(3*f(x)-1)*(3*f(x)*x^2-f(x)+2*x+1) ogf] A038754 12.3561 [-(-6*x^2-6*x-2)/(-6*x^3-3*x^2+2*x+1) lgdogf] A038754 12.3561 [{a(n+2)-3*a(n),a(0)=1,a(1)=2} ogf] A038754 19.2876 [-(2*x+1)/(3*x^2-1) ogf] A038754 19.4087 [1/2/(2+3*x)*(-1+((2*x+1)*(1+6*x))^(1/2)) revogf] A038754 22.8338 [-2*(1+3*x+3*x^2)/(2*x+1)/(3*x^2-1) lgdogf] A038758 10.7517 [-(281+1322*x+84*x^3+833*x^2)/(x-1)/(21*x^3+154*x^2+169*x+16) lgdogf] A038758 5.92915 [-(21*x^3+154*x^2+169*x+16)/(x-1)^7 ogf] A038758 6.92775 [-(84*x^3+833*x^2+1322*x+281)/(21*x^4+133*x^3+15*x^2-153*x-16) lgdogf] A038761 12.1161 [(3*x+1)/(x^2-6*x+1) ogf] A038761 12.6962 [-1/2*(-1-6*x+(1+24*x+32*x^2)^(1/2))/(-3+x) revogf] A038761 15.2354 [-(-9+2*x+3*x^2)/(3*x+1)/(x^2-6*x+1) lgdogf] A038761 6.26693 [(52*f(x)+29)*(f(x)*x^2-6*f(x)*x+f(x)-3*x-1) ogf] A038761 6.64906 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A038761 8.38805 [-(3*x^2+2*x-9)/(3*x^3-17*x^2-3*x+1) lgdogf] A038762 12.3158 [-(5*x-3)/(x^2-6*x+1) ogf] A038762 13.2251 [-1/2*(-3-6*x+(9+16*x+32*x^2)^(1/2))/(x+5) revogf] A038762 15.4922 [-(13-6*x+5*x^2)/(5*x-3)/(x^2+1-6*x) lgdogf] A038762 6.09023 [-(72*f(x)-47)*(f(x)*x^2-6*f(x)*x+f(x)+5*x-3) ogf] A038762 6.67723 [{a(n+2)-6*a(n+1)+a(n),a(0)=3,a(1)=13} ogf] A038762 8.27179 [-(-5*x^2+6*x-13)/(-5*x^3+33*x^2-23*x+3) lgdogf] A038764 10.5670 [1/3*(2*HeunG(7/27,7/36,-1/6,1/6,1/2,-1,-21/4*x)*(81*x+4)^(1/2)-4+3*x)/(x+4) revogf] A038764 13.2433 [-(2*x+1)^2/(x-1)^3 ogf] A038764 16.8301 [-(-2*x-7)/(-2*x^2+x+1) lgdogf] A038764 36.0240 [-(2*x+7)/(2*x+1)/(x-1) lgdogf] A038764 7.08635 [(61*f(x)-181)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+4*x+1) ogf] A038764 7.14905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=22} ogf] A038765 12.4177 [(2*x-1)^2/(3*x-1)^2 ogf] A038765 18.2816 [-2/(-6*x^2+5*x-1) lgdogf] A038765 35.8391 [2/(3*x-1)/(-1+2*x) lgdogf] A038765 6.45231 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A038765 6.92774 [(65*f(x)+79)*(9*f(x)*x^2-6*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A038793 12.4054 [(4-4*x-x^2+9*x^3-5*x^4+x^5)/(x-1)/(x^5-2*x^4-x^3+2*x^2-1) lgdogf] A038793 8.11404 [-(x^5-2*x^4-x^3+2*x^2-1)/(x-1)^4 ogf] A038794 5.88341 [-(x^7-2*x^6-x^5+4*x^4+x^3-3*x^2+1)/(x-1)^5 ogf] A038794 7.88144 [(-5+6*x-9*x^6+12*x^5-18*x^3+2*x^7+x^4+6*x^2)/(x-1)/(x^7-2*x^6-x^5+4*x^4+x^3-3*x^2+1) lgdogf] A038795 4.69814 [-(x^9-2*x^8-2*x^7+5*x^6+2*x^5-7*x^4-x^3+4*x^2-1)/(x-1)^6 ogf] A038796 4.14440 [-(x^11-2*x^10-3*x^9+7*x^8+5*x^7-12*x^6-3*x^5+11*x^4+x^3-5*x^2+1)/(x-1)^7 ogf] A038797 11.5515 [-1/(x^2-3*x+1)/(x-1)^3 ogf] A038797 18.8575 [-(6-14*x+5*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038797 9.77431 [-(5*x^2-14*x+6)/(x^3-4*x^2+4*x-1) lgdogf] A038798 10.0249 [-(6*x^2-17*x+7)/(x^3-4*x^2+4*x-1) lgdogf] A038798 18.7820 [-(2*x-1)*(3*x-7)/(x-1)/(x^2-3*x+1) lgdogf] A038798 9.58265 [1/(x^2-3*x+1)/(x-1)^4 ogf] A038799 18.3379 [-(8-20*x+7*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A038799 8.46610 [-1/(x^2-3*x+1)/(x-1)^5 ogf] A038799 9.50808 [-(7*x^2-20*x+8)/(x^3-4*x^2+4*x-1) lgdogf] A038806 3.22766 [{(-16*n^2-104*n-168)*a(n+1)+(8*n^2+50*n+72)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=1,a(2)=10} ogf] A038806 7.78943 [(-(12*x-1)/(-1+4*x)^(1/2)+I)/x/(-1+4*x)^(1/2) lgdogf] A038835 17.7980 [-(4+x)/(-x-1) ogf_with_Euler_transform] A038836 10.4384 [-24+196*x+(2-36*x+112*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A038836 3.22555 [{(-16*n^2-152*n-360)*a(n+1)+(8*n^2+70*n+144)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=12,a(2)=95} ogf] A038836 7.95635 [(-(14*x-1)/(-1+4*x)^(1/2)+I)/x/(-1+4*x)^(1/2) lgdogf] A038845 14.9182 [-1/(4*x-1)^3 ogf] A038845 20.5768 [12/(-4*x+1) lgdogf] A038845 48.7123 [-12/(-1+4*x) lgdogf] A038845 5.10022 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=12,a(2)=96} ogf] A038845 5.62949 [-(f(x)-1)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A038846 10.4033 [1/(4*x-1)^4 ogf] A038846 19.7305 [16/(-4*x+1) lgdogf] A038846 46.6835 [-16/(-1+4*x) lgdogf] A038846 5.39796 [{(-n-2)*a(n+2)+(20+4*n)*a(n+1),a(0)=1,a(1)=16} ogf] A038846 5.99941 [-(f(x)+1)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A038865 11.3592 [-(-3*x^2+10*x-13)/(-3*x^3+11*x^2-15*x+7) lgdogf] A038865 12.0691 [-9*(3*x^2-8*x+7)/(x-1)^3 ogf] A038865 21.0436 [-(13-10*x+3*x^2)/(x-1)/(3*x^2-8*x+7) lgdogf] A038865 6.60191 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=63,a(1)=117,a(2)=189} ogf] A038865 6.71672 [(5*f(x)+27)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)-72*x+63) ogf] A038866 10.5263 [-(-16*x^2+50*x-52)/(-16*x^3+57*x^2-72*x+31) lgdogf] A038866 11.3237 [-4*(16*x^2-41*x+31)/(x-1)^3 ogf] A038866 17.8710 [-2*(26-25*x+8*x^2)/(x-1)/(16*x^2-41*x+31) lgdogf] A038866 6.12596 [(521*f(x)+21715)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)-164*x+124) ogf] A038866 6.33361 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=124,a(1)=208,a(2)=316} ogf] A038867 11.0666 [-(-13*x^2+38*x-43)/(-13*x^3+45*x^2-57*x+25) lgdogf] A038867 11.9050 [-5*(13*x^2-32*x+25)/(x-1)^3 ogf] A038867 19.2744 [-(67-74*x+25*x^2)/(x-1)/(25*x^2-62*x+43) lgdogf] A038867 6.49365 [(101*f(x)+4865)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+65*x^2-f(x)-160*x+125) ogf] A038867 6.65874 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=125,a(1)=215,a(2)=335} ogf] A038989 10.4709 [-(2*x^3+x^2-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A038989 5.57939 [-(f(x)+1)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A038989 8.24228 [-2*(1+x^2)*(x^2-x+1)*(x+1)^2/(2*x^3+x^2-1)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A038990 11.2388 [-(2*x^3-x^2-x+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A038990 12.6978 [-2*(1-x+x^6-x^5-x^3)/(x-1)/(x+1)/(1+x^2-3*x)/(2*x^3-x^2-x+1) lgdogf] A038990 6.30466 [-(5*f(x)-3)*(f(x)*x^4-3*f(x)*x^3+2*x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A038990 6.86260 [-(-2*x^6+2*x^5+2*x^3+2*x-2)/(-2*x^7+7*x^6-2*x^5-10*x^4+8*x^3+2*x^2-4*x+1) lgdogf] A039097 5.11099 [-x*(5*x^29+7*x^28+4*x^27-2*x^25+2*x^23-5*x^22-7*x^21-4*x^20-x^6-x^5-x^4-x^3-3*x^2-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A039112 6.85781 [-(9*x^17-11*x^9+x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A039113 4.37659 [-(9*x^24-9*x^23+9*x^22-9*x^21+9*x^20-9*x^19+9*x^18-10*x^17+x^16-x^7-x^5-x^3-x-1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A039114 5.61898 [-(9*x^31-9*x^29+9*x^27-10*x^25+x^24-x^6-x^5-x^2-x-1)/(x+1)/(x^4+1)/(x-1)^2 ogf] A039128 5.14142 [-x*(7*x^25+8*x^24+3*x^23-2*x^19-5*x^17-8*x^16-3*x^15-x^7-x^6-x^5-x^4-x^3-x^2-3*x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A039135 4.87999 [-x*(6*x^33+8*x^32+4*x^31-2*x^28+2*x^26-6*x^25-8*x^24-4*x^23-x^7-x^6-x^5-x^4-x^3-3*x^2-x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A039156 6.31117 [-(10*x^19-12*x^10+x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039157 5.58296 [-(10*x^28-x^20-10*x^19+x^18-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039163 7.38086 [(x^9+x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039164 7.38086 [(x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039165 5.14142 [-x*(9*x^19+9*x^18+2*x^17-2*x^11-9*x^10-7*x^9-3*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-3)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039166 4.64386 [-x*(9*x^28+x^27-x^21-8*x^19+6*x^18+3*x^17-x^11-6*x^9-4*x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039172 5.73970 [-x*(x^18+8*x^17+x^16-x^10-10*x^8-2*x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039173 5.67399 [x*(x^18-11*x^17+x^10-x^9+12*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039174 4.87999 [-x*(8*x^28+9*x^27+3*x^26-2*x^21-6*x^19-9*x^18-3*x^17-x^8-x^7-x^6-x^5-x^4-x^3-x^2-3*x-1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039180 4.89658 [-x*(x^27+8*x^26+x^25-x^20+x^19-x^18-9*x^17-x^8-2*x^7-x^6-x^5-x^4-x^3-x^2-2*x-1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039181 5.35681 [x*(x^27-11*x^26+x^20-x^19+10*x^17+2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+2*x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039207 7.60258 [x*(x^8+3*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039208 7.56532 [x*(2*x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039209 7.56532 [x*(3*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A039210 5.88474 [-(11*x^21-13*x^11+x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039216 6.80423 [(x^10+x^9+x^8+x^7+2*x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039217 5.75125 [(x^2+1)*(x^7+x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039218 6.80423 [(x^2+x+1)*(x^8+x^6+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039219 5.93626 [(x^9+x^8+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039226 4.86907 [-x*(3*x^20+8*x^19-x^17+x^16-x^11-2*x^10-9*x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039228 5.35681 [-x*(x^20+9*x^19+x^18-x^11-11*x^9-2*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039235 6.41996 [-x*(3*x^25+8*x^24-x^22+x^21-3*x^20-8*x^19-x^4-x^3-x^2-2*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A039238 5.04354 [x*(x^30-12*x^29+x^22-x^21+11*x^19+2*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039265 6.98947 [x*(x^9+x^8+x^7+3*x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039266 6.05408 [x*(x^2+1)*(x^6+x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039267 6.95521 [x*(x^9+2*x^8+x^7+2*x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039268 5.69345 [x*(2*x^8-x^7+2*x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039269 6.98947 [x*(x^9+x^8+3*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039270 5.90716 [x*(x^2+x+1)*(x^6+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039271 6.95521 [x*(2*x^9+x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039272 6.95521 [x*(x^9+3*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039273 6.24961 [x*(2*x^8+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039274 6.92094 [x*(3*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039300 10.8601 [-(3*x^2+x-1)/(x-1)/(3*x-1)/(x+1) ogf] A039300 11.5943 [-(2-4*x+9*x^4+6*x^3-x^2)/(x-1)/(3*x-1)/(x+1)/(3*x^2+x-1) lgdogf] A039300 5.71089 [-(37*f(x)+3)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+3*x^2+f(x)+x-1) ogf] A039300 5.91486 [{-a(n+3)+3*a(n+2)+a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A039300 7.44342 [-(9*x^4+6*x^3-x^2-4*x+2)/(9*x^5-13*x^3+x^2+4*x-1) lgdogf] A039301 12.4504 [-(2*x^2+3*x-1)/(4*x-1)/(x-1) ogf] A039301 14.0651 [-2*(1-6*x+11*x^2)/(x-1)/(-1+4*x)/(3*x+2*x^2-1) lgdogf] A039301 6.46931 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A039301 8.79827 [-(-22*x^2+12*x-2)/(-8*x^4-2*x^3+17*x^2-8*x+1) lgdogf] A039301 9.29394 [-4*f(x)*x^2+5*f(x)*x-2*x^2-f(x)-3*x+1 ogf] A039302 10.2662 [-(3-8*x+8*x^2+20*x^3+25*x^4)/(x-1)/(5*x-1)/(x+1)/(5*x^2+2*x-1) lgdogf] A039302 10.6401 [-(5*x^2+2*x-1)/(x-1)/(5*x-1)/(x+1) ogf] A039302 5.64389 [(782*f(x)+225)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+5*x^2+f(x)+2*x-1) ogf] A039302 5.74377 [{-a(n+3)+5*a(n+2)+a(n+1)-5*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A039302 6.49046 [-(-25*x^4-20*x^3-8*x^2+8*x-3)/(-25*x^5-5*x^4+32*x^3+4*x^2-7*x+1) lgdogf] A039303 3.99775 [-(108*x^7+360*x^6-12*x^5-199*x^4-13*x^3+30*x^2+2*x-1)/(x-1)/(6*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x+1)/(x+1) ogf] A039304 10.2815 [-(7*x^2+3*x-1)/(x-1)/(7*x-1)/(x+1) ogf] A039304 5.22643 [-(2589*f(x)+931)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+7*x^2+f(x)+3*x-1) ogf] A039304 5.55019 [{-a(n+3)+7*a(n+2)+a(n+1)-7*a(n),a(0)=1,a(1)=4,a(2)=22} ogf] A039304 9.60927 [-(4-12*x+25*x^2+42*x^3+49*x^4)/(x-1)/(7*x-1)/(x+1)/(7*x^2+3*x-1) lgdogf] A039305 4.74854 [{-a(n+4)+8*a(n+3)+a(n+2)-8*a(n+1),a(0)=1,a(1)=3,a(2)=12,a(3)=87} ogf] A039305 4.97113 [-(191+693*f(x))*(8*f(x)*x^3-f(x)*x^2+4*x^3-8*f(x)*x+13*x^2+f(x)+5*x-1) ogf] A039305 8.66842 [-3*(1-8*x+36*x^4+48*x^3+21*x^2)/(x-1)/(8*x-1)/(1+x)/(4*x^3+13*x^2+5*x-1) lgdogf] A039305 9.09007 [-(4*x^3+13*x^2+5*x-1)/(x-1)/(8*x-1)/(x+1) ogf] A039306 13.4808 [-(6*x-1)/(9*x-1)/(x-1) ogf] A039306 14.1426 [-1/6*(-10*x-1+(64*x^2-4*x+1)^(1/2))/(2+3*x) revogf] A039306 15.5932 [-2*(2-9*x+27*x^2)/(x-1)/(6*x-1)/(9*x-1) lgdogf] A039306 6.59698 [-(817*f(x)-561)*(9*f(x)*x^2-10*f(x)*x+f(x)+6*x-1) ogf] A039306 7.47128 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=1,a(1)=4} ogf] A039306 8.98719 [-(-54*x^2+18*x-4)/(-54*x^3+69*x^2-16*x+1) lgdogf] A039623 10.3876 [-(-2*x^3-9*x^2-12*x-7)/(-x^4-x^3+x+1) lgdogf] A039623 17.2988 [-(7+12*x+2*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A039623 30.1016 [-x^2-x+7 ogf_with_Euler_transform] A039623 8.71601 [-(x^2+x+1)*(x+1)/(x-1)^5 ogf] A039647 12.5629 [-(2*x+1)/(x^2+x-1) egf] A039647 17.2986 [-(3+2*x+2*x^2)/(2*x+1)/(x^2+x-1) lgdegf] A039647 8.83331 [-(-2*x^2-2*x-3)/(-2*x^3-3*x^2+x+1) lgdegf] A039647 8.97353 [f(x)*x^2+f(x)*x-f(x)+2*x+1 egf] A039685 12.0756 [2*(19*x^2+212*x+19)/(x+1)/(x-1)^2 ogf] A039685 13.5081 [-(231+307*x+19*x^3+443*x^2)/(x-1)/(x+1)/(19*x^2+212*x+19) lgdogf] A039685 6.32992 [(3281*f(x)+1717032)*(f(x)*x^3-f(x)*x^2-f(x)*x-38*x^2+f(x)-424*x-38) ogf] A039685 6.70864 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=38,a(1)=462,a(2)=538} ogf] A039685 9.23425 [-(-19*x^3-443*x^2-307*x-231)/(-19*x^4-212*x^3+212*x+19) lgdogf] A039690 7.13259 [-(25*x^8+50*x^7+30*x^6+15*x^5+20*x^4+10*x^3+5*x^2+2*x+1)/(10*x^5-1) ogf] A039717 13.7716 [-(x-1)/(5*x^2-5*x+1) ogf] A039717 14.1165 [-1/2*(-1-5*x+((x+1)*(1+5*x))^(1/2))/(1+5*x) revogf] A039717 17.3431 [-(4-10*x+5*x^2)/(x-1)/(5*x^2-5*x+1) lgdogf] A039717 7.29083 [(5*f(x)+3)*(5*f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A039717 7.55756 [{-a(n+2)+5*a(n+1)-5*a(n),a(0)=1,a(1)=4} ogf] A039717 9.38970 [-(-5*x^2+10*x-4)/(-5*x^3+10*x^2-6*x+1) lgdogf] A039720 10.8812 [2*(x^4-6*x^2-4*x-3)/(x-1)^3/(x+1)^3 ogf] A039720 12.9463 [-2*(-2-15*x+x^5-10*x^3-10*x^2)/(x-1)/(x+1)/(-3+x^4-6*x^2-4*x) lgdogf] A039720 6.88214 [{(n+6)*a(n+1)+(-n-2)*a(n+3),a(0)=6,a(1)=8,a(2)=30} ogf] A039720 8.13343 [-(2*x^5-20*x^3-20*x^2-30*x-4)/(x^6-7*x^4-4*x^3+3*x^2+4*x+3) lgdogf] A039723 6.05272 [-x*(200*x^19-181*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A039746 11.7996 [x*(86*x^2+259*x^3+1+311*x^4+14*x)/(1+6*x)^5 revogf] A039799 6.72732 [-x^3*(x^11-x^10-x^8+2*x^7-3*x^6+3*x^5-2*x^4-x^2+x-1)/(x-1)^2 ogf] A039823 13.2377 [-(2+x^6-2*x^5+2*x^2+3*x^4)/(x-1)/(x^2+1)/(x^4-2*x^3+2*x^2-x+1) lgdogf] A039823 8.99904 [-(x^4-2*x^3+2*x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A039824 8.09517 [-(2*x^8-4*x^7+2*x^6-3*x^4+4*x^3+x^2-x+1)/(x-1)^3 ogf] A039824 8.18331 [(-2+10*x^8-32*x^7+34*x^6-12*x^5-3*x^4+12*x^3-13*x^2)/(x-1)/(2*x^8-4*x^7+2*x^6-3*x^4+4*x^3+x^2-x+1) lgdogf] A039825 7.52959 [-(2*x^4-4*x^3+4*x^2-3*x+2)/(x^2+1)/(x-1)^3 ogf] A039825 8.77697 [-(3-2*x+2*x^6-4*x^5+6*x^4-4*x^3+5*x^2)/(x-1)/(1+x^2)/(2*x^4-4*x^3+4*x^2-3*x+2) lgdogf] A039827 6.82825 [-(x^10-2*x^9+x^8+2*x^7-4*x^6+x^5+2*x^3-x+1)/(x-1)^3 ogf] A039827 7.07173 [(-2-22*x^9+2*x-26*x^6+23*x^8-6*x^2-5*x^4+26*x^5+7*x^10)/(x-1)/(x^10-2*x^9+x^8+2*x^7-4*x^6+x^5+2*x^3-x+1) lgdogf] A039830 5.20206 [-(x^8-2*x^7+5*x^6-6*x^5+6*x^4-2*x^3+4*x^2-2*x+2)/(x^2+1)^3/(x-1)^3 ogf] A039830 6.57202 [-(4-8*x-2*x^9+8*x^8-8*x^7+7*x^6+18*x^5-2*x^4+x^10-8*x^3+26*x^2)/(x-1)/(x^2+1)/(x^8-2*x^7+5*x^6-6*x^5+6*x^4-2*x^3+4*x^2-2*x+2) lgdogf] A039834 11.4125 [-(-2*x^2-2*x-1)/(-2*x^3+x^2+3*x+1) lgdogf] A039834 16.2311 [-(2*x+1)/(x^2-x-1) ogf] A039834 20.6771 [1/2/(x+2)*(-1+x+((x+1)*(1+5*x))^(1/2)) revogf] A039834 24.5541 [-(1+2*x+2*x^2)/(2*x+1)/(x^2-x-1) lgdogf] A039834 8.20672 [-(f(x)-1)*(f(x)*x^2-f(x)*x-f(x)+2*x+1) ogf] A039834 8.90729 [{a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1} ogf] A039835 6.53983 [(2*x^4+9*x^3-161*x^2-9*x-1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A039919 4.68454 [{(-5*n^2-25*n-30)*a(n+1)+(6*n^2+34*n+48)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A039919 8.40776 [-1/2*(3*x-3+4*(5*x-1)^(1/2)*(x-1)^(1/2)*x-3*(5*x-1)^(1/2)*(x-1)^(1/2))/(5*x-1)^(1/2)/(x-1)^(3/2)/x lgdogf] A039919 8.77733 [f(x)^2*x^3-f(x)^2*x^2+4*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A039988 5.02132 [-(1000*x^7+1000*x^6-100*x^4-1221*x^3-1111*x^2-111*x-11)/(x-1)/(x+1)/(x^2+1)/(1000*x^4-1) ogf] A040000 13.7680 [{a(n+2)-a(n+1),a(0)=1,a(1)=2} ogf] A040000 22.0287 [-f(x)*x+f(x)-x-1 ogf] A040000 26.7917 [-(x+1)/(x-1) ogf] A040000 30.3962 [-1/2*x-1/2+1/2*(x^2+6*x+1)^(1/2) revogf] A040000 30.9779 [2/(-x^2+1) lgdogf] A040000 47.1074 [[2-x] ogf_with_Euler_transform] A040000 69.4770 [-2/(x-1)/(x+1) lgdogf] A040001 11.5317 [{-a(n+3)+a(n+1),a(0)=1,a(1)=1,a(2)=2} ogf] A040001 12.2615 [-(4*f(x)-3)*(f(x)*x^2+x^2-f(x)+x+1) ogf] A040001 15.1353 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040001 19.7686 [-(x^2+x+1)/(x-1)/(x+1) ogf] A040001 27.9447 [-(1+4*x+x^2)/(x-1)/(1+x)/(x^2+x+1) lgdogf] A040001 38.6648 [-x^2+x+1 ogf_with_Euler_transform] A040002 10.0706 [{a(n+2)-a(n+1),a(0)=2,a(1)=4} ogf] A040002 16.113 [-f(x)*x+f(x)-2*x-2 ogf] A040002 19.5969 [-2*(x+1)/(x-1) ogf] A040002 21.4396 [-1/4*x-1/2+1/4*(x^2+12*x+4)^(1/2) revogf] A040002 22.6589 [2/(-x^2+1) lgdogf] A040002 34.4302 [[2-x] ogf_with_Euler_transform] A040002 47.1671 [-2/(-1+x)/(x+1) lgdogf] A040003 11.3294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040003 14.7976 [-2*(x^2+x+1)/(x-1)/(x+1) ogf] A040003 20.2145 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040003 28.9214 [-x^2+x+1 ogf_with_Euler_transform] A040003 8.63195 [{-a(n+3)+a(n+1),a(0)=2,a(1)=2,a(2)=4} ogf] A040003 9.17828 [-(2*f(x)-3)*(f(x)*x^2+2*x^2-f(x)+2*x+2) ogf] A040005 11.3294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040005 13.6808 [-f(x)*x^2-2*x^2+f(x)-x-2 ogf] A040005 14.7976 [-(2*x^2+x+2)/(x-1)/(x+1) ogf] A040005 19.1218 [-(1+8*x+x^2)/(-1+x)/(x+1)/(2*x^2+x+2) lgdogf] A040005 8.63195 [{-a(n+3)+a(n+1),a(0)=2,a(1)=1,a(2)=4} ogf] A040006 10.0706 [{a(n+2)-a(n+1),a(0)=3,a(1)=6} ogf] A040006 16.113 [-f(x)*x+f(x)-3*x-3 ogf] A040006 19.5969 [-3*(x+1)/(x-1) ogf] A040006 21.4396 [-1/6*x-1/2+1/6*(x^2+18*x+9)^(1/2) revogf] A040006 22.6589 [2/(-x^2+1) lgdogf] A040006 34.4302 [[2-x] ogf_with_Euler_transform] A040006 47.1671 [-2/(-1+x)/(x+1) lgdogf] A040007 11.1605 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040007 14.5770 [-3*(x^2+x+1)/(x-1)/(x+1) ogf] A040007 19.9069 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040007 28.4888 [-x^2+x+1 ogf_with_Euler_transform] A040007 8.50323 [{-a(n+3)+a(n+1),a(0)=3,a(1)=3,a(2)=6} ogf] A040007 9.0414 [-(4*f(x)-9)*(f(x)*x^2+3*x^2-f(x)+3*x+3) ogf] A040008 11.1551 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040008 13.6808 [-f(x)*x^2-3*x^2+f(x)-2*x-3 ogf] A040008 14.7976 [-(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040008 17.2563 [-2*(1+6*x+x^2)/(-1+x)/(x+1)/(3*x^2+2*x+3) lgdogf] A040008 8.63195 [{-a(n+3)+a(n+1),a(0)=3,a(1)=2,a(2)=6} ogf] A040011 11.1551 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040011 13.6808 [-f(x)*x^2-3*x^2+f(x)-x-3 ogf] A040011 14.7976 [-(3*x^2+x+3)/(x-1)/(x+1) ogf] A040011 18.6186 [-(1+12*x+x^2)/(-1+x)/(x+1)/(3*x^2+x+3) lgdogf] A040011 8.63195 [{-a(n+3)+a(n+1),a(0)=3,a(1)=1,a(2)=6} ogf] A040012 10.0706 [{a(n+2)-a(n+1),a(0)=4,a(1)=8} ogf] A040012 16.113 [-f(x)*x+f(x)-4*x-4 ogf] A040012 19.5969 [-4*(x+1)/(x-1) ogf] A040012 20.8090 [-1/8*x-1/2+1/8*(x^2+24*x+16)^(1/2) revogf] A040012 22.6589 [2/(-x^2+1) lgdogf] A040012 34.4302 [[2-x] ogf_with_Euler_transform] A040012 47.1671 [-2/(-1+x)/(x+1) lgdogf] A040013 11.1605 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040013 14.5770 [-4*(x^2+x+1)/(x-1)/(x+1) ogf] A040013 19.9069 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040013 28.4888 [-x^2+x+1 ogf_with_Euler_transform] A040013 8.50323 [{-a(n+3)+a(n+1),a(0)=4,a(1)=4,a(2)=8} ogf] A040013 8.92838 [-(5*f(x)-18)*(f(x)*x^2+4*x^2-f(x)+4*x+4) ogf] A040015 11.3294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040015 13.6808 [-f(x)*x^2-4*x^2+f(x)-2*x-4 ogf] A040015 14.7976 [-2*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040015 19.1218 [-(1+8*x+x^2)/(-1+x)/(x+1)/(2*x^2+x+2) lgdogf] A040015 8.63195 [{-a(n+3)+a(n+1),a(0)=4,a(1)=2,a(2)=8} ogf] A040019 11.1551 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040019 13.6808 [-f(x)*x^2-4*x^2+f(x)-x-4 ogf] A040019 14.7976 [-(4*x^2+x+4)/(x-1)/(x+1) ogf] A040019 18.6186 [-(1+16*x+x^2)/(-1+x)/(x+1)/(4*x^2+x+4) lgdogf] A040019 8.63195 [{-a(n+3)+a(n+1),a(0)=4,a(1)=1,a(2)=8} ogf] A040020 14.8717 [-f(x)*x+f(x)-5*x-5 ogf] A040020 18.0871 [-5*(x+1)/(x-1) ogf] A040020 18.1443 [-1/10*x-1/2+1/10*(x^2+30*x+25)^(1/2) revogf] A040020 20.9132 [2/(-x^2+1) lgdogf] A040020 31.7219 [[2-x] ogf_with_Euler_transform] A040020 46.6568 [-2/(x-1)/(x+1) lgdogf] A040020 9.16745 [{a(n+2)-a(n+1),a(0)=5,a(1)=10} ogf] A040021 10.9324 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040021 14.2790 [-5*(x^2+x+1)/(x-1)/(x+1) ogf] A040021 20.0857 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040021 27.8849 [-x^2+x+1 ogf_with_Euler_transform] A040021 8.23144 [{-a(n+3)+a(n+1),a(0)=5,a(1)=5,a(2)=10} ogf] A040021 8.7459 [-(4*f(x)-15)*(f(x)*x^2+5*x^2-f(x)+5*x+5) ogf] A040022 11.0232 [-(5*x^2+8*x+5)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040022 7.54218 [(128*f(x)-477)*(f(x)*x^4+5*x^4+3*x^3+2*x^2-f(x)+3*x+5) ogf] A040022 8.42584 [-(3+4*x+3*x^6+4*x^5+9*x^4+40*x^3+9*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^2+8*x+5)/(x^2-x+1) lgdogf] A040024 10.7642 [-(2*x^2+20*x+2)/(5*x^4+2*x^3-2*x-5) lgdogf] A040024 13.2014 [-f(x)*x^2-5*x^2+f(x)-2*x-5 ogf] A040024 14.2790 [-(5*x^2+2*x+5)/(x-1)/(x+1) ogf] A040024 16.6564 [-2*(1+10*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A040024 8.23144 [{-a(n+3)+a(n+1),a(0)=5,a(1)=2,a(2)=10} ogf] A040029 10.7642 [-(x^2+20*x+1)/(5*x^4+x^3-x-5) lgdogf] A040029 13.2014 [-f(x)*x^2-5*x^2+f(x)-x-5 ogf] A040029 14.2790 [-(5*x^2+x+5)/(x-1)/(x+1) ogf] A040029 18.4571 [-(1+20*x+x^2)/(x-1)/(x+1)/(5*x^2+x+5) lgdogf] A040029 8.23144 [{-a(n+3)+a(n+1),a(0)=5,a(1)=1,a(2)=10} ogf] A040030 14.8717 [-f(x)*x+f(x)-6*x-6 ogf] A040030 18.0871 [-6*(x+1)/(x-1) ogf] A040030 18.1443 [-1/2-1/12*x+1/12*(36+36*x+x^2)^(1/2) revogf] A040030 20.9132 [2/(-x^2+1) lgdogf] A040030 31.7219 [[2-x] ogf_with_Euler_transform] A040030 46.6568 [-2/(x-1)/(x+1) lgdogf] A040030 9.16745 [{a(n+2)-a(n+1),a(0)=6,a(1)=12} ogf] A040031 10.9324 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040031 14.2790 [-6*(x^2+x+1)/(x-1)/(x+1) ogf] A040031 20.0857 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040031 27.8849 [-x^2+x+1 ogf_with_Euler_transform] A040031 8.23144 [{-a(n+3)+a(n+1),a(0)=6,a(1)=6,a(2)=12} ogf] A040031 8.7459 [-(5*f(x)-27)*(f(x)*x^2+6*x^2-f(x)+6*x+6) ogf] A040032 10.7642 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040032 13.2014 [-f(x)*x^2-6*x^2+f(x)-4*x-6 ogf] A040032 14.2790 [-2*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040032 17.0728 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040032 8.23144 [{-a(n+3)+a(n+1),a(0)=6,a(1)=4,a(2)=12} ogf] A040033 10.9324 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040033 13.2014 [-f(x)*x^2-6*x^2+f(x)-3*x-6 ogf] A040033 14.2790 [-3*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040033 18.9698 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040033 8.23144 [{-a(n+3)+a(n+1),a(0)=6,a(1)=3,a(2)=12} ogf] A040035 10.7642 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040035 13.2014 [-f(x)*x^2-6*x^2+f(x)-2*x-6 ogf] A040035 14.2790 [-2*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040035 18.4571 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040035 8.23144 [{-a(n+3)+a(n+1),a(0)=6,a(1)=2,a(2)=12} ogf] A040037 7.54564 [-(6*x^8+x^7+x^6+x^5+2*x^4+x^3+x^2+x+6)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040041 10.7642 [-(x^2+24*x+1)/(6*x^4+x^3-x-6) lgdogf] A040041 13.2014 [-f(x)*x^2-6*x^2+f(x)-x-6 ogf] A040041 14.2790 [-(6*x^2+x+6)/(x-1)/(x+1) ogf] A040041 18.4571 [-(1+24*x+x^2)/(x-1)/(x+1)/(6*x^2+x+6) lgdogf] A040041 8.23144 [{-a(n+3)+a(n+1),a(0)=6,a(1)=1,a(2)=12} ogf] A040042 14.8717 [-f(x)*x+f(x)-7*x-7 ogf] A040042 18.0871 [-7*(x+1)/(x-1) ogf] A040042 18.1443 [-1/14*x-1/2+1/14*(x^2+42*x+49)^(1/2) revogf] A040042 20.9132 [2/(-x^2+1) lgdogf] A040042 31.7219 [[2-x] ogf_with_Euler_transform] A040042 46.6568 [-2/(x-1)/(x+1) lgdogf] A040042 9.16745 [{a(n+2)-a(n+1),a(0)=7,a(1)=14} ogf] A040043 10.9324 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040043 14.2790 [-7*(x^2+x+1)/(x-1)/(x+1) ogf] A040043 20.0857 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040043 27.8849 [-x^2+x+1 ogf_with_Euler_transform] A040043 8.23144 [{-a(n+3)+a(n+1),a(0)=7,a(1)=7,a(2)=14} ogf] A040043 8.7459 [-(4*f(x)-21)*(f(x)*x^2+7*x^2-f(x)+7*x+7) ogf] A040048 10.7642 [-(2*x^2+28*x+2)/(7*x^4+2*x^3-2*x-7) lgdogf] A040048 13.2014 [-f(x)*x^2-7*x^2+f(x)-2*x-7 ogf] A040048 14.2790 [-(7*x^2+2*x+7)/(x-1)/(x+1) ogf] A040048 16.6564 [-2*(1+14*x+x^2)/(x-1)/(x+1)/(7*x^2+2*x+7) lgdogf] A040048 8.23144 [{-a(n+3)+a(n+1),a(0)=7,a(1)=2,a(2)=14} ogf] A040052 11.0232 [-(7*x^4+x^3+2*x^2+x+7)/(x-1)/(x+1)/(x^2+1) ogf] A040052 6.88949 [-(30143*f(x)-208908)*(f(x)*x^4+7*x^4+x^3+2*x^2-f(x)+x+7) ogf] A040052 8.85247 [-(1+4*x+x^6+4*x^5+3*x^4+56*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(7*x^4+x^3+2*x^2+x+7) lgdogf] A040055 10.7642 [-(x^2+28*x+1)/(7*x^4+x^3-x-7) lgdogf] A040055 13.2014 [-f(x)*x^2-7*x^2+f(x)-x-7 ogf] A040055 14.2790 [-(7*x^2+x+7)/(x-1)/(x+1) ogf] A040055 18.4571 [-(1+28*x+x^2)/(x-1)/(x+1)/(7*x^2+x+7) lgdogf] A040055 8.23144 [{-a(n+3)+a(n+1),a(0)=7,a(1)=1,a(2)=14} ogf] A040056 14.8717 [-f(x)*x+f(x)-8*x-8 ogf] A040056 18.0871 [-8*(x+1)/(x-1) ogf] A040056 18.1443 [-1/16*x-1/2+1/16*(x^2+48*x+64)^(1/2) revogf] A040056 20.9132 [2/(-x^2+1) lgdogf] A040056 31.7219 [[2-x] ogf_with_Euler_transform] A040056 46.6568 [-2/(x-1)/(x+1) lgdogf] A040056 9.16745 [{a(n+2)-a(n+1),a(0)=8,a(1)=16} ogf] A040057 10.9324 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040057 14.2790 [-8*(x^2+x+1)/(x-1)/(x+1) ogf] A040057 20.0857 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040057 27.8849 [-x^2+x+1 ogf_with_Euler_transform] A040057 8.23144 [{-a(n+3)+a(n+1),a(0)=8,a(1)=8,a(2)=16} ogf] A040057 8.85661 [-(f(x)-6)*(f(x)*x^2+8*x^2-f(x)+8*x+8) ogf] A040059 10.9324 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040059 13.2014 [-f(x)*x^2-8*x^2+f(x)-4*x-8 ogf] A040059 14.2790 [-4*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040059 18.9698 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040059 8.23144 [{-a(n+3)+a(n+1),a(0)=8,a(1)=4,a(2)=16} ogf] A040063 10.7642 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040063 13.2014 [-f(x)*x^2-8*x^2+f(x)-2*x-8 ogf] A040063 14.2790 [-2*(4*x^2+x+4)/(x-1)/(x+1) ogf] A040063 18.4571 [-(1+16*x+x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A040063 8.23144 [{-a(n+3)+a(n+1),a(0)=8,a(1)=2,a(2)=16} ogf] A040071 10.7642 [-(x^2+32*x+1)/(8*x^4+x^3-x-8) lgdogf] A040071 13.2014 [-f(x)*x^2-8*x^2+f(x)-x-8 ogf] A040071 14.2790 [-(8*x^2+x+8)/(x-1)/(x+1) ogf] A040071 18.4571 [-(1+32*x+x^2)/(x-1)/(x+1)/(8*x^2+x+8) lgdogf] A040071 8.23144 [{-a(n+3)+a(n+1),a(0)=8,a(1)=1,a(2)=16} ogf] A040072 14.8717 [-f(x)*x+f(x)-9*x-9 ogf] A040072 18.0871 [-9*(x+1)/(x-1) ogf] A040072 18.1443 [-1/2-1/18*x+1/18*(81+54*x+x^2)^(1/2) revogf] A040072 20.9132 [2/(-x^2+1) lgdogf] A040072 31.7219 [[2-x] ogf_with_Euler_transform] A040072 46.6568 [-2/(x-1)/(x+1) lgdogf] A040072 9.16745 [{a(n+2)-a(n+1),a(0)=9,a(1)=18} ogf] A040073 10.9324 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040073 14.2790 [-9*(x^2+x+1)/(x-1)/(x+1) ogf] A040073 20.0857 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040073 27.8849 [-x^2+x+1 ogf_with_Euler_transform] A040073 8.23144 [{-a(n+3)+a(n+1),a(0)=9,a(1)=9,a(2)=18} ogf] A040073 8.63793 [-(10*f(x)-81)*(f(x)*x^2+9*x^2-f(x)+9*x+9) ogf] A040074 10.7642 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040074 13.2014 [-f(x)*x^2-9*x^2+f(x)-6*x-9 ogf] A040074 14.2790 [-3*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040074 17.0728 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040074 8.23144 [{-a(n+3)+a(n+1),a(0)=9,a(1)=6,a(2)=18} ogf] A040075 18.7835 [20/(-4*x+1) lgdogf] A040075 44.4120 [-20/(-1+4*x) lgdogf] A040075 5.13888 [{(-n-2)*a(n+2)+(24+4*n)*a(n+1),a(0)=1,a(1)=20} ogf] A040075 8.51127 [-1/(4*x-1)^5 ogf] A040077 10.7642 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040077 13.2014 [-f(x)*x^2-9*x^2+f(x)-3*x-9 ogf] A040077 14.2790 [-3*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040077 18.4571 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040077 8.23144 [{-a(n+3)+a(n+1),a(0)=9,a(1)=3,a(2)=18} ogf] A040080 10.7642 [-(2*x^2+36*x+2)/(9*x^4+2*x^3-2*x-9) lgdogf] A040080 13.2014 [-f(x)*x^2-9*x^2+f(x)-2*x-9 ogf] A040080 14.2790 [-(9*x^2+2*x+9)/(x-1)/(x+1) ogf] A040080 16.6564 [-2*(1+18*x+x^2)/(x-1)/(x+1)/(9*x^2+2*x+9) lgdogf] A040080 8.23144 [{-a(n+3)+a(n+1),a(0)=9,a(1)=2,a(2)=18} ogf] A040090 10.7497 [{a(n+2)-a(n+1),a(0)=10,a(1)=20} ogf] A040090 16.9251 [-f(x)*x+f(x)-10*x-10 ogf] A040090 20.3969 [-10*(x+1)/(x-1) ogf] A040090 21.0516 [-1/20*x-1/2+1/20*(x^2+60*x+100)^(1/2) revogf] A040090 24.8588 [2/(-x^2+1) lgdogf] A040090 37.7338 [[2-x] ogf_with_Euler_transform] A040090 55.6363 [-2/(x-1)/(x+1) lgdogf] A040091 10.2841 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040091 12.6573 [-10*(x^2+x+1)/(x-1)/(x+1) ogf] A040091 18.3493 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040091 26.2039 [-x^2+x+1 ogf_with_Euler_transform] A040091 7.56531 [{-a(n+3)+a(n+1),a(0)=10,a(1)=10,a(2)=20} ogf] A040091 8.02661 [-(f(x)-9)*(f(x)*x^2+10*x^2-f(x)+10*x+10) ogf] A040093 10.9978 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040093 12.7975 [-f(x)*x^2-10*x^2+f(x)-5*x-10 ogf] A040093 13.8012 [-5*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040093 19.0862 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040093 8.18443 [{-a(n+3)+a(n+1),a(0)=10,a(1)=5,a(2)=20} ogf] A040094 10.8286 [-(2*x^2+20*x+2)/(5*x^4+2*x^3-2*x-5) lgdogf] A040094 12.7975 [-f(x)*x^2-10*x^2+f(x)-4*x-10 ogf] A040094 13.8012 [-2*(5*x^2+2*x+5)/(x-1)/(x+1) ogf] A040094 16.7586 [-2*(1+10*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A040094 8.18443 [{-a(n+3)+a(n+1),a(0)=10,a(1)=4,a(2)=20} ogf] A040099 10.8286 [-(x^2+20*x+1)/(5*x^4+x^3-x-5) lgdogf] A040099 12.7975 [-f(x)*x^2-10*x^2+f(x)-2*x-10 ogf] A040099 13.8012 [-2*(5*x^2+x+5)/(x-1)/(x+1) ogf] A040099 18.5703 [-(1+20*x+x^2)/(x-1)/(x+1)/(5*x^2+x+5) lgdogf] A040099 8.18443 [{-a(n+3)+a(n+1),a(0)=10,a(1)=2,a(2)=20} ogf] A040109 10.5054 [-(x^2+40*x+1)/(10*x^4+x^3-x-10) lgdogf] A040109 12.7975 [-f(x)*x^2-10*x^2+f(x)-x-10 ogf] A040109 13.8012 [-(10*x^2+x+10)/(x-1)/(x+1) ogf] A040109 17.6180 [-(1+40*x+x^2)/(x-1)/(x+1)/(10*x^2+x+10) lgdogf] A040109 8.18443 [{-a(n+3)+a(n+1),a(0)=10,a(1)=1,a(2)=20} ogf] A040110 14.0039 [-f(x)*x+f(x)-11*x-11 ogf] A040110 16.8765 [-11*(x+1)/(x-1) ogf] A040110 17.3575 [-1/2-1/22*x+1/22*(121+66*x+x^2)^(1/2) revogf] A040110 20.5682 [2/(-x^2+1) lgdogf] A040110 31.1951 [[2-x] ogf_with_Euler_transform] A040110 42.8151 [-2/(-1+x)/(x+1) lgdogf] A040110 8.89435 [{a(n+2)-a(n+1),a(0)=11,a(1)=22} ogf] A040111 10.2841 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040111 12.6573 [-11*(x^2+x+1)/(x-1)/(x+1) ogf] A040111 18.3493 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040111 26.2039 [-x^2+x+1 ogf_with_Euler_transform] A040111 7.56531 [{-a(n+3)+a(n+1),a(0)=11,a(1)=11,a(2)=22} ogf] A040111 7.92991 [-(4*f(x)-33)*(f(x)*x^2+11*x^2-f(x)+11*x+11) ogf] A040118 10.6539 [-2*(1+2*x+x^4+2*x^3+33*x^2)/(x-1)/(x+1)/(x^2+x+1)/(11*x^2-9*x+11) lgdogf] A040118 12.0254 [-(x+1)*(11*x^2-9*x+11)/(x-1)/(x^2+x+1) ogf] A040118 7.23980 [{-a(n+4)+a(n+1),a(0)=11,a(1)=2,a(2)=2,a(3)=22} ogf] A040118 7.71194 [-(23*f(x)-247)*(f(x)*x^3+11*x^3+2*x^2-f(x)+2*x+11) ogf] A040120 10.5054 [-(2*x^2+44*x+2)/(11*x^4+2*x^3-2*x-11) lgdogf] A040120 12.7975 [-f(x)*x^2-11*x^2+f(x)-2*x-11 ogf] A040120 13.8012 [-(11*x^2+2*x+11)/(x-1)/(x+1) ogf] A040120 15.9791 [-2*(1+22*x+x^2)/(x-1)/(x+1)/(11*x^2+2*x+11) lgdogf] A040120 8.18443 [{-a(n+3)+a(n+1),a(0)=11,a(1)=2,a(2)=22} ogf] A040131 10.5054 [-(x^2+44*x+1)/(11*x^4+x^3-x-11) lgdogf] A040131 12.7975 [-f(x)*x^2-11*x^2+f(x)-x-11 ogf] A040131 13.8012 [-(11*x^2+x+11)/(x-1)/(x+1) ogf] A040131 17.6180 [-(1+44*x+x^2)/(x-1)/(x+1)/(11*x^2+x+11) lgdogf] A040131 8.18443 [{-a(n+3)+a(n+1),a(0)=11,a(1)=1,a(2)=22} ogf] A040132 14.0039 [-f(x)*x+f(x)-12*x-12 ogf] A040132 16.8765 [-12*(x+1)/(x-1) ogf] A040132 17.3575 [-1/2-1/24*x+1/24*(144+72*x+x^2)^(1/2) revogf] A040132 20.5682 [2/(-x^2+1) lgdogf] A040132 31.1951 [[2-x] ogf_with_Euler_transform] A040132 42.8151 [-2/(-1+x)/(x+1) lgdogf] A040132 8.89435 [{a(n+2)-a(n+1),a(0)=12,a(1)=24} ogf] A040133 10.2841 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040133 12.6573 [-12*(x^2+x+1)/(x-1)/(x+1) ogf] A040133 18.3493 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040133 26.2039 [-x^2+x+1 ogf_with_Euler_transform] A040133 7.56531 [{-a(n+3)+a(n+1),a(0)=12,a(1)=12,a(2)=24} ogf] A040133 7.92991 [-(5*f(x)-54)*(f(x)*x^2+12*x^2-f(x)+12*x+12) ogf] A040134 10.8286 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040134 13.8012 [-4*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040134 14.7121 [-f(x)*x^2-12*x^2+f(x)-8*x-12 ogf] A040134 17.1776 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040134 8.18443 [{-a(n+3)+a(n+1),a(0)=12,a(1)=8,a(2)=24} ogf] A040135 10.9978 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040135 12.7975 [-f(x)*x^2-12*x^2+f(x)-6*x-12 ogf] A040135 13.8012 [-6*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040135 19.0862 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040135 8.18443 [{-a(n+3)+a(n+1),a(0)=12,a(1)=6,a(2)=24} ogf] A040137 10.8286 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040137 13.8012 [-4*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040137 14.7121 [-f(x)*x^2-12*x^2+f(x)-4*x-12 ogf] A040137 18.5703 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040137 8.18443 [{-a(n+3)+a(n+1),a(0)=12,a(1)=4,a(2)=24} ogf] A040139 10.8286 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040139 12.7975 [-f(x)*x^2-12*x^2+f(x)-3*x-12 ogf] A040139 13.8012 [-3*(4*x^2+x+4)/(x-1)/(x+1) ogf] A040139 18.5703 [-(1+16*x+x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A040139 8.18443 [{-a(n+3)+a(n+1),a(0)=12,a(1)=3,a(2)=24} ogf] A040142 10.5321 [-2*(6*x^4+x^3+2*x^2+x+6)/(x-1)/(x+1)/(x^2+1) ogf] A040142 7.35052 [(25*f(x)-264)*(f(x)*x^4+12*x^4+2*x^3+4*x^2-f(x)+2*x+12) ogf] A040142 8.60680 [-(1+4*x+x^6+4*x^5+3*x^4+48*x^3+3*x^2)/(-1+x)/(x+1)/(1+x^2)/(6*x^4+x^3+2*x^2+x+6) lgdogf] A040143 10.8286 [-(x^2+24*x+1)/(6*x^4+x^3-x-6) lgdogf] A040143 12.7975 [-f(x)*x^2-12*x^2+f(x)-2*x-12 ogf] A040143 13.8012 [-2*(6*x^2+x+6)/(x-1)/(x+1) ogf] A040143 18.5703 [-(1+24*x+x^2)/(x-1)/(x+1)/(6*x^2+x+6) lgdogf] A040143 8.18443 [{-a(n+3)+a(n+1),a(0)=12,a(1)=2,a(2)=24} ogf] A040151 8.63498 [-(12*x^6+x^5+4*x^4+6*x^3+4*x^2+x+12)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040155 10.5054 [-(x^2+48*x+1)/(12*x^4+x^3-x-12) lgdogf] A040155 12.7975 [-f(x)*x^2-12*x^2+f(x)-x-12 ogf] A040155 13.8012 [-(12*x^2+x+12)/(x-1)/(x+1) ogf] A040155 17.6180 [-(1+48*x+x^2)/(x-1)/(x+1)/(12*x^2+x+12) lgdogf] A040155 8.18443 [{-a(n+3)+a(n+1),a(0)=12,a(1)=1,a(2)=24} ogf] A040156 14.0039 [-f(x)*x+f(x)-13*x-13 ogf] A040156 16.8765 [-13*(x+1)/(x-1) ogf] A040156 17.3575 [-1/2-1/26*x+1/26*(169+78*x+x^2)^(1/2) revogf] A040156 20.5682 [2/(-x^2+1) lgdogf] A040156 31.1951 [[2-x] ogf_with_Euler_transform] A040156 42.8151 [-2/(-1+x)/(x+1) lgdogf] A040156 8.89435 [{a(n+2)-a(n+1),a(0)=13,a(1)=26} ogf] A040157 10.2841 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040157 12.6573 [-13*(x^2+x+1)/(x-1)/(x+1) ogf] A040157 18.3493 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040157 26.2039 [-x^2+x+1 ogf_with_Euler_transform] A040157 7.56531 [{-a(n+3)+a(n+1),a(0)=13,a(1)=13,a(2)=26} ogf] A040157 7.92991 [-(4*f(x)-39)*(f(x)*x^2+13*x^2-f(x)+13*x+13) ogf] A040166 10.5321 [-(13*x^4+2*x^3+2*x^2+2*x+13)/(x-1)/(x+1)/(x^2+1) ogf] A040166 7.50691 [(7*f(x)-96)*(f(x)*x^4+13*x^4+2*x^3+2*x^2-f(x)+2*x+13) ogf] A040166 7.82436 [-2*(1+2*x+x^6+2*x^5+3*x^4+52*x^3+3*x^2)/(-1+x)/(x+1)/(1+x^2)/(13*x^4+2*x^3+2*x^2+2*x+13) lgdogf] A040168 10.5054 [-(2*x^2+52*x+2)/(13*x^4+2*x^3-2*x-13) lgdogf] A040168 12.7975 [-f(x)*x^2-13*x^2+f(x)-2*x-13 ogf] A040168 13.8012 [-(13*x^2+2*x+13)/(x-1)/(x+1) ogf] A040168 15.9791 [-2*(1+26*x+x^2)/(x-1)/(x+1)/(13*x^2+2*x+13) lgdogf] A040168 8.18443 [{-a(n+3)+a(n+1),a(0)=13,a(1)=2,a(2)=26} ogf] A040181 10.5054 [-(x^2+52*x+1)/(13*x^4+x^3-x-13) lgdogf] A040181 12.7975 [-f(x)*x^2-13*x^2+f(x)-x-13 ogf] A040181 13.8012 [-(13*x^2+x+13)/(x-1)/(x+1) ogf] A040181 17.6180 [-(1+52*x+x^2)/(x-1)/(x+1)/(13*x^2+x+13) lgdogf] A040181 8.18443 [{-a(n+3)+a(n+1),a(0)=13,a(1)=1,a(2)=26} ogf] A040182 14.6454 [-f(x)*x+f(x)-14*x-14 ogf] A040182 17.6496 [-14*(x+1)/(x-1) ogf] A040182 18.1685 [-1/28*x-1/2+1/28*(x^2+84*x+196)^(1/2) revogf] A040182 21.5105 [2/(-x^2+1) lgdogf] A040182 32.6311 [[2-x] ogf_with_Euler_transform] A040182 48.0167 [-2/(x-1)/(x+1) lgdogf] A040182 9.30182 [{a(n+2)-a(n+1),a(0)=14,a(1)=28} ogf] A040183 10.2841 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040183 12.6573 [-14*(x^2+x+1)/(x-1)/(x+1) ogf] A040183 18.3493 [-(1+4*x+x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A040183 26.2039 [-x^2+x+1 ogf_with_Euler_transform] A040183 7.56531 [{-a(n+3)+a(n+1),a(0)=14,a(1)=14,a(2)=28} ogf] A040183 7.92991 [-(5*f(x)-63)*(f(x)*x^2+14*x^2-f(x)+14*x+14) ogf] A040185 12.8850 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040185 14.9935 [-f(x)*x^2-14*x^2+f(x)-7*x-14 ogf] A040185 16.1694 [-7*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040185 22.4270 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040185 9.58885 [{-a(n+3)+a(n+1),a(0)=14,a(1)=7,a(2)=28} ogf] A040187 9.32443 [-(x+1)*(14*x^6-10*x^5+11*x^4-9*x^3+11*x^2-10*x+14)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040188 12.6868 [-(2*x^2+28*x+2)/(7*x^4+2*x^3-2*x-7) lgdogf] A040188 14.9935 [-f(x)*x^2-14*x^2+f(x)-4*x-14 ogf] A040188 16.1694 [-2*(7*x^2+2*x+7)/(x-1)/(x+1) ogf] A040188 19.6920 [-2*(1+14*x+x^2)/(x-1)/(x+1)/(7*x^2+2*x+7) lgdogf] A040188 9.58885 [{-a(n+3)+a(n+1),a(0)=14,a(1)=4,a(2)=28} ogf] A040189 8.59288 [-(14*x^8+3*x^7+x^6+x^5+6*x^4+x^3+x^2+3*x+14)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040190 8.59288 [-(14*x^8+3*x^7+6*x^6+x^5+4*x^4+x^3+6*x^2+3*x+14)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040191 8.50717 [-(x^2-x+1)*(14*x^6+16*x^5+3*x^4-8*x^3+3*x^2+16*x+14)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040192 8.59288 [-(14*x^8+2*x^7+x^6+x^5+2*x^4+x^3+x^2+2*x+14)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040193 10.3308 [-(14*x^6+2*x^5+2*x^4+x^3+2*x^2+2*x+14)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040194 8.59288 [-(14*x^8+2*x^7+5*x^6+3*x^5+2*x^4+3*x^3+5*x^2+2*x+14)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040195 12.6868 [-(x^2+28*x+1)/(7*x^4+x^3-x-7) lgdogf] A040195 14.9935 [-f(x)*x^2-14*x^2+f(x)-2*x-14 ogf] A040195 16.1694 [-2*(7*x^2+x+7)/(x-1)/(x+1) ogf] A040195 21.8208 [-(1+28*x+x^2)/(x-1)/(x+1)/(7*x^2+x+7) lgdogf] A040195 9.58885 [{-a(n+3)+a(n+1),a(0)=14,a(1)=2,a(2)=28} ogf] A040198 6.36640 [-(14*x^12+x^11+x^10+2*x^9+6*x^8+x^7+8*x^6+x^5+6*x^4+2*x^3+x^2+x+14)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040200 10.4124 [-(1+2*x+x^6+3*x^2+112*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(14*x^4+x^3+x^2+x+14) lgdogf] A040200 12.6973 [-(14*x^4+x^3+x^2+x+14)/(x-1)/(x+1)/(x^2+1) ogf] A040200 8.86163 [(29*f(x)-403)*(f(x)*x^4+14*x^4+x^3+x^2-f(x)+x+14) ogf] A040201 10.3308 [-(14*x^6+x^5+2*x^4+3*x^3+2*x^2+x+14)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040201 6.40909 [-(1+4*x^9+4*x+5*x^6+9*x^8+8*x^7+9*x^2+8*x^3+5*x^4+168*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(14*x^6+x^5+2*x^4+3*x^3+2*x^2+x+14) lgdogf] A040202 4.97347 [-(x^2-x+1)*(14*x^14+15*x^13+3*x^12-11*x^11-12*x^10+13*x^8+22*x^7+13*x^6-12*x^4-11*x^3+3*x^2+15*x+14)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040203 11.2547 [-(x+1)*(7*x^2+4*x+7)*(2*x^2-3*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040203 7.65123 [-(1+6*x+6*x^7+9*x^6+4*x^5+9*x^2+4*x^3+140*x^4+x^8)/(x-1)/(x+1)/(7*x^2+4*x+7)/(2*x^2-3*x+2)/(x^4+x^3+x^2+x+1) lgdogf] A040204 10.1585 [-(1+6*x+x^6+3*x^2+112*x^3+3*x^4+6*x^5)/(x-1)/(x+1)/(1+x^2)/(14*x^4+x^3+3*x^2+x+14) lgdogf] A040204 12.6973 [-(14*x^4+x^3+3*x^2+x+14)/(x-1)/(x+1)/(x^2+1) ogf] A040204 8.02563 [-(19375*f(x)-259347)*(f(x)*x^4+14*x^4+x^3+3*x^2-f(x)+x+14) ogf] A040205 10.1585 [-(1+8*x+x^6+3*x^2+112*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(14*x^4+x^3+4*x^2+x+14) lgdogf] A040205 12.6973 [-(14*x^4+x^3+4*x^2+x+14)/(x-1)/(x+1)/(x^2+1) ogf] A040205 8.17997 [-(1024*f(x)-13175)*(f(x)*x^4+14*x^4+x^3+4*x^2-f(x)+x+14) ogf] A040206 10.3308 [-(x^2+1)*(14*x^4+x^3-8*x^2+x+14)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040206 6.40909 [-(1+12*x^9+12*x+5*x^6+6*x^8+24*x^7+6*x^2+24*x^3+5*x^4+168*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(14*x^4+x^3-8*x^2+x+14)/(1+x^2) lgdogf] A040207 12.6973 [-(14*x^4+x^3+8*x^2+x+14)/(x-1)/(x+1)/(x^2+1) ogf] A040207 8.50717 [(2400*f(x)-19057)*(f(x)*x^4+14*x^4+x^3+8*x^2-f(x)+x+14) ogf] A040207 9.91660 [-(1+16*x+x^6+3*x^2+112*x^3+3*x^4+16*x^5)/(x-1)/(x+1)/(1+x^2)/(14*x^4+x^3+8*x^2+x+14) lgdogf] A040208 12.1271 [-(14*x^2+15*x+14)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040208 8.16475 [(1025*f(x)+12857)*(f(x)*x^4+14*x^4+x^3+13*x^2-f(x)+x+14) ogf] A040208 9.28012 [-(1+26*x+x^6+3*x^2+112*x^3+3*x^4+26*x^5)/(x-1)/(x+1)/(1+x^2)/(14*x^2+15*x+14)/(x^2-x+1) lgdogf] A040209 12.3081 [-(x^2+56*x+1)/(14*x^4+x^3-x-14) lgdogf] A040209 14.9935 [-f(x)*x^2-14*x^2+f(x)-x-14 ogf] A040209 16.1694 [-(14*x^2+x+14)/(x-1)/(x+1) ogf] A040209 20.7018 [-(1+56*x+x^2)/(x-1)/(x+1)/(14*x^2+x+14) lgdogf] A040209 9.58885 [{-a(n+3)+a(n+1),a(0)=14,a(1)=1,a(2)=28} ogf] A040210 10.7497 [{a(n+2)-a(n+1),a(0)=15,a(1)=30} ogf] A040210 16.9251 [-f(x)*x+f(x)-15*x-15 ogf] A040210 20.3969 [-15*(x+1)/(x-1) ogf] A040210 21.0516 [-1/30*x-1/2+1/30*(x^2+90*x+225)^(1/2) revogf] A040210 24.8588 [2/(-x^2+1) lgdogf] A040210 37.7338 [[2-x] ogf_with_Euler_transform] A040210 55.6363 [-2/(x-1)/(x+1) lgdogf] A040211 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040211 15.2977 [-15*(x^2+x+1)/(x-1)/(x+1) ogf] A040211 22.9091 [-(1+4*x+x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A040211 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040211 9.14346 [{-a(n+3)+a(n+1),a(0)=15,a(1)=15,a(2)=30} ogf] A040211 9.58412 [-(4*f(x)-45)*(f(x)*x^2+15*x^2-f(x)+15*x+15) ogf] A040212 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040212 14.205 [-f(x)*x^2-15*x^2+f(x)-10*x-15 ogf] A040212 15.2977 [-5*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040212 19.4727 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040212 9.14346 [{-a(n+3)+a(n+1),a(0)=15,a(1)=10,a(2)=30} ogf] A040213 11.2547 [-(x+1)*(15*x^4-8*x^3+9*x^2-8*x+15)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040213 7.37797 [-(7+2*x+2*x^7+3*x^6+28*x^5+3*x^2+28*x^3+150*x^4+7*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(15*x^4-8*x^3+9*x^2-8*x+15) lgdogf] A040214 12.6868 [-(2*x^2+20*x+2)/(5*x^4+2*x^3-2*x-5) lgdogf] A040214 14.9935 [-f(x)*x^2-15*x^2+f(x)-6*x-15 ogf] A040214 16.1694 [-3*(5*x^2+2*x+5)/(x-1)/(x+1) ogf] A040214 19.6920 [-2*(1+10*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A040214 9.58885 [{-a(n+3)+a(n+1),a(0)=15,a(1)=6,a(2)=30} ogf] A040215 12.6868 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040215 14.9935 [-f(x)*x^2-15*x^2+f(x)-5*x-15 ogf] A040215 16.1694 [-5*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040215 21.8208 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040215 9.58885 [{-a(n+3)+a(n+1),a(0)=15,a(1)=5,a(2)=30} ogf] A040216 10.3308 [-(15*x^6+4*x^5+3*x^4+7*x^3+3*x^2+4*x+15)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040217 6.85686 [-(x+1)*(15*x^10-12*x^9+13*x^8-10*x^7+11*x^6-10*x^5+11*x^4-10*x^3+13*x^2-12*x+15)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040218 8.59288 [-(15*x^8+3*x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+3*x+15)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040219 12.6868 [-(x^2+20*x+1)/(5*x^4+x^3-x-5) lgdogf] A040219 14.9935 [-f(x)*x^2-15*x^2+f(x)-3*x-15 ogf] A040219 16.1694 [-3*(5*x^2+x+5)/(x-1)/(x+1) ogf] A040219 21.8208 [-(1+20*x+x^2)/(x-1)/(x+1)/(5*x^2+x+5) lgdogf] A040219 9.58885 [{-a(n+3)+a(n+1),a(0)=15,a(1)=3,a(2)=30} ogf] A040220 6.36640 [-(15*x^12+2*x^11+x^10+3*x^9+5*x^8+x^7+6*x^6+x^5+5*x^4+3*x^3+x^2+2*x+15)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040221 7.15342 [-(15*x^10+2*x^9+x^8+x^7+7*x^6+10*x^5+7*x^4+x^3+x^2+2*x+15)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040222 8.50717 [-(x^2+x+1)*(15*x^6-13*x^5+14*x^3-13*x+15)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040223 6.30482 [-(15*x^12+2*x^11+5*x^10+x^9+2*x^8+4*x^7+15*x^6+4*x^5+2*x^4+x^3+5*x^2+2*x+15)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040224 12.3081 [-(2*x^2+60*x+2)/(15*x^4+2*x^3-2*x-15) lgdogf] A040224 14.9935 [-f(x)*x^2-15*x^2+f(x)-2*x-15 ogf] A040224 16.1694 [-(15*x^2+2*x+15)/(x-1)/(x+1) ogf] A040224 18.7761 [-2*(1+30*x+x^2)/(x-1)/(x+1)/(15*x^2+2*x+15) lgdogf] A040224 9.58885 [{-a(n+3)+a(n+1),a(0)=15,a(1)=2,a(2)=30} ogf] A040226 7.15342 [-(15*x^10+x^9+x^8+3*x^7+x^6+14*x^5+x^4+3*x^3+x^2+x+15)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040227 7.15342 [-(15*x^10+x^9+x^8+2*x^7+3*x^6+15*x^5+3*x^4+2*x^3+x^2+x+15)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040229 7.38431 [-(15*x^10+x^9+x^8+x^7+7*x^6+6*x^5+7*x^4+x^3+x^2+x+15)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040230 7.15342 [-(15*x^10+x^9+2*x^8+5*x^7+x^6+14*x^5+x^4+5*x^3+2*x^2+x+15)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040231 6.36640 [-(15*x^12+x^11+2*x^10+x^9+x^8+9*x^7+x^6+9*x^5+x^4+x^3+2*x^2+x+15)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040232 12.6973 [-(3*x^2-4*x+3)*(5*x^2+7*x+5)/(x-1)/(x+1)/(x^2+1) ogf] A040232 8.34036 [(12544*f(x)-184875)*(f(x)*x^4+15*x^4+x^3+2*x^2-f(x)+x+15) ogf] A040232 9.68598 [-(1+4*x+x^6+3*x^2+120*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(3*x^2-4*x+3)/(5*x^2+7*x+5) lgdogf] A040233 4.94590 [-(15*x^16+x^15+3*x^14+x^13+x^12+5*x^11+x^10+3*x^9+10*x^8+3*x^7+x^6+5*x^5+x^4+x^3+3*x^2+x+15)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040234 9.32443 [-(x+1)*(15*x^6-14*x^5+18*x^4-15*x^3+18*x^2-14*x+15)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040236 12.6973 [-(15*x^4+x^3+6*x^2+x+15)/(x-1)/(x+1)/(x^2+1) ogf] A040236 8.34036 [(10368*f(x)-128231)*(f(x)*x^4+15*x^4+x^3+6*x^2-f(x)+x+15) ogf] A040236 9.91660 [-(1+12*x+x^6+3*x^2+120*x^3+3*x^4+12*x^5)/(x-1)/(x+1)/(1+x^2)/(15*x^4+x^3+6*x^2+x+15) lgdogf] A040238 12.1271 [-(15*x^2+16*x+15)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040238 8.16475 [(5632*f(x)+78729)*(f(x)*x^4+15*x^4+x^3+14*x^2-f(x)+x+15) ogf] A040238 9.28012 [-(1+28*x+x^6+3*x^2+120*x^3+3*x^4+28*x^5)/(x-1)/(x+1)/(1+x^2)/(15*x^2+16*x+15)/(x^2-x+1) lgdogf] A040239 12.3081 [-(x^2+60*x+1)/(15*x^4+x^3-x-15) lgdogf] A040239 14.9935 [-f(x)*x^2-15*x^2+f(x)-x-15 ogf] A040239 16.1694 [-(15*x^2+x+15)/(x-1)/(x+1) ogf] A040239 20.7018 [-(1+60*x+x^2)/(x-1)/(x+1)/(15*x^2+x+15) lgdogf] A040239 9.58885 [{-a(n+3)+a(n+1),a(0)=15,a(1)=1,a(2)=30} ogf] A040240 10.7497 [{a(n+2)-a(n+1),a(0)=16,a(1)=32} ogf] A040240 16.9251 [-f(x)*x+f(x)-16*x-16 ogf] A040240 20.3969 [-16*(x+1)/(x-1) ogf] A040240 21.0516 [-1/32*x-1/2+1/32*(x^2+96*x+256)^(1/2) revogf] A040240 24.8588 [2/(-x^2+1) lgdogf] A040240 37.7338 [[2-x] ogf_with_Euler_transform] A040240 55.6363 [-2/(x-1)/(x+1) lgdogf] A040241 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040241 15.2977 [-16*(x^2+x+1)/(x-1)/(x+1) ogf] A040241 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040241 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040241 9.14346 [{-a(n+3)+a(n+1),a(0)=16,a(1)=16,a(2)=32} ogf] A040241 9.58412 [-(5*f(x)-72)*(f(x)*x^2+16*x^2-f(x)+16*x+16) ogf] A040242 7.01635 [-(16*x^10+10*x^9+x^8+2*x^7+3*x^6+4*x^5+3*x^4+2*x^3+x^2+10*x+16)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040243 12.8850 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040243 14.9935 [-f(x)*x^2-16*x^2+f(x)-8*x-16 ogf] A040243 16.1694 [-8*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040243 22.4270 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040243 9.58885 [{-a(n+3)+a(n+1),a(0)=16,a(1)=8,a(2)=32} ogf] A040244 4.97347 [-(16*x^16+6*x^15+2*x^14+3*x^13+7*x^12+x^11+3*x^10+x^9+2*x^8+x^7+3*x^6+x^5+7*x^4+3*x^3+2*x^2+6*x+16)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040246 6.30482 [-(16*x^12+4*x^11+x^10+x^9+x^8+x^7+15*x^6+x^5+x^4+x^3+x^2+4*x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040247 12.6868 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040247 14.9935 [-f(x)*x^2-16*x^2+f(x)-4*x-16 ogf] A040247 16.1694 [-4*(4*x^2+x+4)/(x-1)/(x+1) ogf] A040247 21.8208 [-(1+16*x+x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A040247 9.58885 [{-a(n+3)+a(n+1),a(0)=16,a(1)=4,a(2)=32} ogf] A040248 8.01243 [-(x+1)*(16*x^8-13*x^7+14*x^6-13*x^5+15*x^4-13*x^3+14*x^2-13*x+16)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040249 12.6973 [-(16*x^4+3*x^3+4*x^2+3*x+16)/(x-1)/(x+1)/(x^2+1) ogf] A040249 8.86163 [(32*f(x)-475)*(f(x)*x^4+16*x^4+3*x^3+4*x^2-f(x)+3*x+16) ogf] A040249 9.46584 [-(3+8*x+3*x^6+9*x^2+128*x^3+9*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(16*x^4+3*x^3+4*x^2+3*x+16) lgdogf] A040250 10.0445 [-(16*x^6+2*x^5+x^4+15*x^3+x^2+2*x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040252 13.5436 [-(1+2*x+48*x^2+2*x^3+x^4)/(x-1)/(x+1)/(x^2+x+1)/(8*x^2-7*x+8) lgdogf] A040252 14.3006 [-2*(x+1)*(8*x^2-7*x+8)/(x-1)/(x^2+x+1) ogf] A040252 8.60953 [{-a(n+4)+a(n+1),a(0)=16,a(1)=2,a(2)=2,a(3)=32} ogf] A040252 9.17102 [-(11*f(x)-174)*(f(x)*x^3+16*x^3+2*x^2-f(x)+2*x+16) ogf] A040253 10.3308 [-(16*x^6+2*x^5+3*x^4+6*x^3+3*x^2+2*x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040255 12.6868 [-(x^2+32*x+1)/(8*x^4+x^3-x-8) lgdogf] A040255 14.9935 [-f(x)*x^2-16*x^2+f(x)-2*x-16 ogf] A040255 16.1694 [-2*(8*x^2+x+8)/(x-1)/(x+1) ogf] A040255 21.8208 [-(1+32*x+x^2)/(x-1)/(x+1)/(8*x^2+x+8) lgdogf] A040255 9.58885 [{-a(n+3)+a(n+1),a(0)=16,a(1)=2,a(2)=32} ogf] A040256 10.0445 [-(16*x^6+x^5+x^4+10*x^3+x^2+x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040256 6.35505 [-(1+2*x^9+2*x+5*x^6+30*x^8+4*x^7+30*x^2+4*x^3+5*x^4+192*x^5+x^10)/(x-1)/(x+1)/(16*x^6+x^5+x^4+10*x^3+x^2+x+16)/(x^2+x+1)/(x^2-x+1) lgdogf] A040257 9.32443 [-(x+1)*(16*x^6-15*x^5+16*x^4-12*x^3+16*x^2-15*x+16)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040258 10.3308 [-(x^2+1)*(16*x^4+x^3-15*x^2+x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040258 6.55931 [-(1+2*x^9+2*x+5*x^6+6*x^8+4*x^7+6*x^2+4*x^3+5*x^4+192*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(16*x^4+x^3-15*x^2+x+16) lgdogf] A040259 6.36640 [-(x^4+1)*(16*x^8+x^7+x^6+x^5-15*x^4+x^3+x^2+x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040261 10.0445 [-(16*x^6+x^5+2*x^4+16*x^3+2*x^2+x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040261 6.16535 [-(1+4*x^9+4*x+5*x^6+48*x^8+8*x^7+48*x^2+8*x^3+5*x^4+192*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(16*x^6+x^5+2*x^4+16*x^3+2*x^2+x+16) lgdogf] A040262 8.59288 [-(16*x^8+x^7+2*x^6+2*x^5+x^4+2*x^3+2*x^2+x+16)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040263 10.3308 [-(16*x^6+x^5+2*x^4+x^3+2*x^2+x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040263 6.50846 [-(1+4*x^9+4*x+5*x^6+3*x^8+8*x^7+3*x^2+8*x^3+5*x^4+192*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(16*x^6+x^5+2*x^4+x^3+2*x^2+x+16) lgdogf] A040265 8.59288 [-(16*x^8+x^7+3*x^6+x^5+4*x^4+x^3+3*x^2+x+16)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040268 10.3308 [-(x^2+1)*(16*x^4+x^3-9*x^2+x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040268 6.40909 [-(1+14*x^9+14*x+5*x^6+6*x^8+28*x^7+6*x^2+28*x^3+5*x^4+192*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(16*x^4+x^3-9*x^2+x+16) lgdogf] A040269 7.01635 [-(16*x^10+x^9+10*x^8+3*x^7+3*x^6+2*x^5+3*x^4+3*x^3+10*x^2+x+16)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040270 12.1271 [-(x^2-x+1)*(16*x^2+17*x+16)/(x-1)/(x+1)/(x^2+1) ogf] A040270 8.00622 [(13583*f(x)+209475)*(f(x)*x^4+16*x^4+x^3+15*x^2-f(x)+x+16) ogf] A040270 9.28012 [-(1+30*x+x^6+3*x^2+128*x^3+3*x^4+30*x^5)/(x-1)/(x+1)/(16*x^2+17*x+16)/(x^2-x+1)/(1+x^2) lgdogf] A040271 12.3081 [-(x^2+64*x+1)/(16*x^4+x^3-x-16) lgdogf] A040271 14.9935 [-f(x)*x^2-16*x^2+f(x)-x-16 ogf] A040271 16.1694 [-(16*x^2+x+16)/(x-1)/(x+1) ogf] A040271 20.7018 [-(1+64*x+x^2)/(x-1)/(x+1)/(16*x^2+x+16) lgdogf] A040271 9.58885 [{-a(n+3)+a(n+1),a(0)=16,a(1)=1,a(2)=32} ogf] A040272 10.7497 [{a(n+2)-a(n+1),a(0)=17,a(1)=34} ogf] A040272 16.9251 [-f(x)*x+f(x)-17*x-17 ogf] A040272 20.3969 [-17*(x+1)/(x-1) ogf] A040272 20.4976 [-1/2-1/34*x+1/34*(289+102*x+x^2)^(1/2) revogf] A040272 24.8588 [2/(-x^2+1) lgdogf] A040272 37.7338 [[2-x] ogf_with_Euler_transform] A040272 55.6363 [-2/(x-1)/(x+1) lgdogf] A040273 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040273 15.2977 [-17*(x^2+x+1)/(x-1)/(x+1) ogf] A040273 22.9091 [-(1+4*x+x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A040273 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040273 9.14346 [{-a(n+3)+a(n+1),a(0)=17,a(1)=17,a(2)=34} ogf] A040273 9.35861 [-(10*f(x)-153)*(f(x)*x^2+17*x^2-f(x)+17*x+17) ogf] A040274 7.01635 [-(17*x^10+11*x^9+2*x^8+x^7+3*x^6+8*x^5+3*x^4+x^3+2*x^2+11*x+17)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040275 11.2547 [-(x+1)*(17*x^4-9*x^3+10*x^2-9*x+17)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040275 7.31268 [-(8+2*x+2*x^7+3*x^6+32*x^5+3*x^2+32*x^3+170*x^4+8*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(17*x^4-9*x^3+10*x^2-9*x+17) lgdogf] A040276 10.3308 [-(17*x^6+6*x^5+x^4+4*x^3+x^2+6*x+17)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040276 6.31271 [-2*(3+x^9+x+15*x^6+6*x^8+2*x^7+6*x^2+2*x^3+15*x^4+102*x^5+3*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(17*x^6+6*x^5+x^4+4*x^3+x^2+6*x+17) lgdogf] A040277 6.36640 [-(17*x^12+5*x^11+x^10+2*x^9+3*x^8+2*x^7+6*x^6+2*x^5+3*x^4+2*x^3+x^2+5*x+17)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040278 10.3308 [-(17*x^6+4*x^5+x^4+7*x^3+x^2+4*x+17)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040279 7.38431 [-(17*x^10+4*x^9+3*x^8+x^7+x^6+2*x^5+x^4+x^3+3*x^2+4*x+17)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040280 6.85686 [-(x+1)*(17*x^10-14*x^9+15*x^8-11*x^7+16*x^6-15*x^5+16*x^4-11*x^3+15*x^2-14*x+17)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040281 12.6973 [-(17*x^4+3*x^3+2*x^2+3*x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040281 8.50717 [(2048*f(x)-33775)*(f(x)*x^4+17*x^4+3*x^3+2*x^2-f(x)+3*x+17) ogf] A040281 9.57465 [-(1+4*x+x^2)*(3*x^4-8*x^3+38*x^2-8*x+3)/(x-1)/(x+1)/(1+x^2)/(17*x^4+3*x^3+2*x^2+3*x+17) lgdogf] A040282 12.6973 [-(17*x^4+3*x^3+8*x^2+3*x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040282 8.34036 [-(169*f(x)-2124)*(f(x)*x^4+17*x^4+3*x^3+8*x^2-f(x)+3*x+17) ogf] A040282 9.25549 [-(3+16*x+3*x^6+9*x^2+136*x^3+9*x^4+16*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+3*x^3+8*x^2+3*x+17) lgdogf] A040284 4.94590 [-(17*x^16+2*x^15+x^14+x^13+x^12+4*x^11+2*x^10+x^9+16*x^8+x^7+2*x^6+4*x^5+x^4+x^3+x^2+2*x+17)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040285 10.3308 [-(17*x^6+2*x^5+2*x^4+5*x^3+2*x^2+2*x+17)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040286 6.36640 [-(17*x^12+2*x^11+3*x^10+2*x^9+x^8+x^7+x^6+x^5+x^4+2*x^3+3*x^2+2*x+17)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040287 12.6973 [-(17*x^4+2*x^3+6*x^2+2*x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040287 8.34036 [-(490*f(x)-7227)*(f(x)*x^4+17*x^4+2*x^3+6*x^2-f(x)+2*x+17) ogf] A040287 9.57465 [-2*(1+6*x+x^6+3*x^2+68*x^3+3*x^4+6*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+2*x^3+6*x^2+2*x+17) lgdogf] A040288 12.3081 [-(2*x^2+68*x+2)/(17*x^4+2*x^3-2*x-17) lgdogf] A040288 14.9935 [-f(x)*x^2-17*x^2+f(x)-2*x-17 ogf] A040288 16.1694 [-(17*x^2+2*x+17)/(x-1)/(x+1) ogf] A040288 18.7761 [-2*(1+34*x+x^2)/(x-1)/(x+1)/(17*x^2+2*x+17) lgdogf] A040288 9.58885 [{-a(n+3)+a(n+1),a(0)=17,a(1)=2,a(2)=34} ogf] A040290 10.3308 [-(17*x^6+x^5+x^4+4*x^3+x^2+x+17)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040290 6.50846 [-(1+2*x^9+2*x+5*x^6+12*x^8+4*x^7+12*x^2+4*x^3+5*x^4+204*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(17*x^6+x^5+x^4+4*x^3+x^2+x+17) lgdogf] A040292 4.97347 [-(17*x^16+x^15+x^14+x^13+x^12+5*x^11+3*x^10+x^9+2*x^8+x^7+3*x^6+5*x^5+x^4+x^3+x^2+x+17)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040293 4.94590 [-(17*x^16+x^15+x^14+x^13+2*x^12+x^11+6*x^10+3*x^9+17*x^8+3*x^7+6*x^6+x^5+2*x^4+x^3+x^2+x+17)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040294 10.4124 [-(1+2*x+x^6+3*x^2+136*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+x^3+x^2+x+17) lgdogf] A040294 12.6973 [-(17*x^4+x^3+x^2+x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040294 8.86163 [(35*f(x)-592)*(f(x)*x^4+17*x^4+x^3+x^2-f(x)+x+17) ogf] A040296 9.32443 [-(x+1)*(17*x^6-16*x^5+18*x^4-17*x^3+18*x^2-16*x+17)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040297 10.1585 [-(1+4*x+x^6+3*x^2+136*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+x^3+2*x^2+x+17) lgdogf] A040297 12.6973 [-(17*x^4+x^3+2*x^2+x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040297 8.42294 [(6144*f(x)-103037)*(f(x)*x^4+17*x^4+x^3+2*x^2-f(x)+x+17) ogf] A040298 8.59288 [-(17*x^8+x^7+3*x^6+2*x^5+8*x^4+2*x^3+3*x^2+x+17)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040299 6.85686 [-(x+1)*(17*x^10-16*x^9+20*x^8-12*x^7+13*x^6-11*x^5+13*x^4-12*x^3+20*x^2-16*x+17)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040300 10.1585 [-(1+8*x+x^6+3*x^2+136*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+x^3+4*x^2+x+17) lgdogf] A040300 12.6973 [-(17*x^4+x^3+4*x^2+x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040300 8.50717 [-(19*f(x)-306)*(f(x)*x^4+17*x^4+x^3+4*x^2-f(x)+x+17) ogf] A040302 12.6973 [-(17*x^4+x^3+7*x^2+x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040302 8.77028 [(81*f(x)-1118)*(f(x)*x^4+17*x^4+x^3+7*x^2-f(x)+x+17) ogf] A040302 9.91660 [-(1+14*x+x^6+3*x^2+136*x^3+3*x^4+14*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+x^3+7*x^2+x+17) lgdogf] A040303 12.1271 [-(17*x^4+x^3+10*x^2+x+17)/(x-1)/(x+1)/(x^2+1) ogf] A040303 8.16475 [(1408*f(x)-12719)*(f(x)*x^4+17*x^4+x^3+10*x^2-f(x)+x+17) ogf] A040303 9.49848 [-(1+20*x+x^6+3*x^2+136*x^3+3*x^4+20*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^4+x^3+10*x^2+x+17) lgdogf] A040304 12.1271 [-(17*x^2+18*x+17)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040304 8.3297 [(225*f(x)+3796)*(f(x)*x^4+17*x^4+x^3+16*x^2-f(x)+x+17) ogf] A040304 9.28012 [-(1+32*x+x^6+3*x^2+136*x^3+3*x^4+32*x^5)/(x-1)/(x+1)/(1+x^2)/(17*x^2+18*x+17)/(x^2-x+1) lgdogf] A040305 12.3081 [-(x^2+68*x+1)/(17*x^4+x^3-x-17) lgdogf] A040305 14.9935 [-f(x)*x^2-17*x^2+f(x)-x-17 ogf] A040305 16.1694 [-(17*x^2+x+17)/(x-1)/(x+1) ogf] A040305 20.7018 [-(1+68*x+x^2)/(x-1)/(x+1)/(17*x^2+x+17) lgdogf] A040305 9.58885 [{-a(n+3)+a(n+1),a(0)=17,a(1)=1,a(2)=34} ogf] A040306 10.7497 [{a(n+2)-a(n+1),a(0)=18,a(1)=36} ogf] A040306 16.9251 [-f(x)*x+f(x)-18*x-18 ogf] A040306 20.3969 [-18*(x+1)/(x-1) ogf] A040306 20.4976 [-1/36*x-1/2+1/36*(x^2+108*x+324)^(1/2) revogf] A040306 24.8588 [2/(-x^2+1) lgdogf] A040306 37.7338 [[2-x] ogf_with_Euler_transform] A040306 55.6363 [-2/(x-1)/(x+1) lgdogf] A040307 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040307 15.2977 [-18*(x^2+x+1)/(x-1)/(x+1) ogf] A040307 22.9091 [-(1+4*x+x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A040307 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040307 9.14346 [{-a(n+3)+a(n+1),a(0)=18,a(1)=18,a(2)=36} ogf] A040307 9.58412 [-(5*f(x)-81)*(f(x)*x^2+18*x^2-f(x)+18*x+18) ogf] A040308 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040308 14.205 [-f(x)*x^2-18*x^2+f(x)-12*x-18 ogf] A040308 15.2977 [-6*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040308 19.4727 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040308 9.14346 [{-a(n+3)+a(n+1),a(0)=18,a(1)=12,a(2)=36} ogf] A040309 12.8850 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040309 14.9935 [-f(x)*x^2-18*x^2+f(x)-9*x-18 ogf] A040309 16.1694 [-9*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040309 22.4270 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040309 9.58885 [{-a(n+3)+a(n+1),a(0)=18,a(1)=9,a(2)=36} ogf] A040310 6.36640 [-(18*x^12+7*x^11+4*x^10+2*x^9+x^8+x^7+4*x^6+x^5+x^4+2*x^3+4*x^2+7*x+18)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040311 12.6868 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040311 14.9935 [-f(x)*x^2-18*x^2+f(x)-6*x-18 ogf] A040311 16.1694 [-6*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040311 21.8208 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040311 9.58885 [{-a(n+3)+a(n+1),a(0)=18,a(1)=6,a(2)=36} ogf] A040313 8.59288 [-(18*x^8+4*x^7+x^6+x^5+8*x^4+x^3+x^2+4*x+18)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040314 12.6868 [-(2*x^2+36*x+2)/(9*x^4+2*x^3-2*x-9) lgdogf] A040314 14.9935 [-f(x)*x^2-18*x^2+f(x)-4*x-18 ogf] A040314 16.1694 [-2*(9*x^2+2*x+9)/(x-1)/(x+1) ogf] A040314 19.6920 [-2*(1+18*x+x^2)/(x-1)/(x+1)/(9*x^2+2*x+9) lgdogf] A040314 9.58885 [{-a(n+3)+a(n+1),a(0)=18,a(1)=4,a(2)=36} ogf] A040316 10.8181 [-(1+2*x+x^6+3*x^2+48*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(6*x^4+x^3+x^2+x+6) lgdogf] A040316 12.6973 [-3*(6*x^4+x^3+x^2+x+6)/(x-1)/(x+1)/(x^2+1) ogf] A040316 8.86163 [(13*f(x)-225)*(f(x)*x^4+18*x^4+3*x^3+3*x^2-f(x)+3*x+18) ogf] A040317 12.6868 [-(x^2+24*x+1)/(6*x^4+x^3-x-6) lgdogf] A040317 14.9935 [-f(x)*x^2-18*x^2+f(x)-3*x-18 ogf] A040317 16.1694 [-3*(6*x^2+x+6)/(x-1)/(x+1) ogf] A040317 21.8208 [-(1+24*x+x^2)/(x-1)/(x+1)/(6*x^2+x+6) lgdogf] A040317 9.58885 [{-a(n+3)+a(n+1),a(0)=18,a(1)=3,a(2)=36} ogf] A040319 11.2547 [-(x+1)*(18*x^4-16*x^3+17*x^2-16*x+18)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040319 7.31268 [-(2+2*x+2*x^7+3*x^6+8*x^5+3*x^2+8*x^3+180*x^4+2*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(18*x^4-16*x^3+17*x^2-16*x+18) lgdogf] A040320 7.15342 [-(18*x^10+2*x^9+2*x^8+2*x^7+x^6+17*x^5+x^4+2*x^3+2*x^2+2*x+18)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040323 12.6868 [-(x^2+36*x+1)/(9*x^4+x^3-x-9) lgdogf] A040323 16.1694 [-2*(9*x^2+x+9)/(x-1)/(x+1) ogf] A040323 21.8208 [-(1+36*x+x^2)/(x-1)/(x+1)/(9*x^2+x+9) lgdogf] A040323 9.58885 [{-a(n+3)+a(n+1),a(0)=18,a(1)=2,a(2)=36} ogf] A040323 9.81715 [(2925*f(x)-52649)*(f(x)*x^2+18*x^2-f(x)+2*x+18) ogf] A040325 7.38431 [-(18*x^10+x^9+x^8+4*x^7+x^6+3*x^5+x^4+4*x^3+x^2+x+18)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040326 7.38431 [-(18*x^10+x^9+x^8+2*x^7+x^6+6*x^5+x^4+2*x^3+x^2+x+18)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040327 11.2547 [-(x+1)*(18*x^4-17*x^3+18*x^2-17*x+18)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040327 7.44444 [-(1+2*x+2*x^7+3*x^6+4*x^5+3*x^2+4*x^3+180*x^4+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(18*x^4-17*x^3+18*x^2-17*x+18) lgdogf] A040329 8.59288 [-(18*x^8+x^7+x^6+x^5+8*x^4+x^3+x^2+x+18)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040330 9.32443 [-(x+1)*(18*x^6-17*x^5+19*x^4-12*x^3+19*x^2-17*x+18)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040331 10.3308 [-(x^2+1)*(18*x^4+x^3-16*x^2+x+18)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040331 6.55931 [-(1+4*x+4*x^9+5*x^6+6*x^8+8*x^7+6*x^2+8*x^3+5*x^4+216*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(18*x^4+x^3-16*x^2+x+18) lgdogf] A040332 6.36640 [-(18*x^12+x^11+2*x^10+x^9+3*x^8+2*x^7+2*x^6+2*x^5+3*x^4+x^3+2*x^2+x+18)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040333 8.59288 [-(18*x^8+x^7+3*x^6+5*x^5+9*x^4+5*x^3+3*x^2+x+18)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040335 7.15342 [-(18*x^10+x^9+4*x^8+2*x^7+2*x^6+18*x^5+2*x^4+2*x^3+4*x^2+x+18)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040336 6.36640 [-(18*x^12+x^11+5*x^10+3*x^9+3*x^8+x^7+6*x^6+x^5+3*x^4+3*x^3+5*x^2+x+18)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040338 10.3308 [-(x^2+1)*(18*x^4+x^3-10*x^2+x+18)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040338 6.36054 [-(1+16*x+16*x^9+5*x^6+6*x^8+32*x^7+6*x^2+32*x^3+5*x^4+216*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(18*x^4+x^3-10*x^2+x+18) lgdogf] A040340 12.1271 [-(x^2-x+1)*(18*x^2+19*x+18)/(x-1)/(x+1)/(x^2+1) ogf] A040340 8.00622 [(19133*f(x)+350625)*(f(x)*x^4+18*x^4+x^3+17*x^2-f(x)+x+18) ogf] A040340 9.28012 [-(1+34*x+x^6+3*x^2+144*x^3+3*x^4+34*x^5)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1)/(18*x^2+19*x+18) lgdogf] A040341 12.3081 [-(x^2+72*x+1)/(18*x^4+x^3-x-18) lgdogf] A040341 16.1694 [-(18*x^2+x+18)/(x-1)/(x+1) ogf] A040341 20.7018 [-(1+72*x+x^2)/(x-1)/(x+1)/(18*x^2+x+18) lgdogf] A040341 9.58884 [(46692*f(x)-840455)*(f(x)*x^2+18*x^2-f(x)+x+18) ogf] A040341 9.58885 [{-a(n+3)+a(n+1),a(0)=18,a(1)=1,a(2)=36} ogf] A040342 10.7497 [{a(n+2)-a(n+1),a(0)=19,a(1)=38} ogf] A040342 16.9251 [-f(x)*x+f(x)-19*x-19 ogf] A040342 20.3969 [-19*(x+1)/(x-1) ogf] A040342 20.4976 [-1/38*x-1/2+1/38*(x^2+114*x+361)^(1/2) revogf] A040342 24.8588 [2/(-x^2+1) lgdogf] A040342 37.7338 [[2-x] ogf_with_Euler_transform] A040342 55.6363 [-2/(x-1)/(x+1) lgdogf] A040343 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040343 15.2977 [-19*(x^2+x+1)/(x-1)/(x+1) ogf] A040343 22.9091 [-(1+4*x+x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A040343 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040343 9.14346 [{-a(n+3)+a(n+1),a(0)=19,a(1)=19,a(2)=38} ogf] A040343 9.58412 [-(4*f(x)-57)*(f(x)*x^2+19*x^2-f(x)+19*x+19) ogf] A040344 6.09607 [-(19*x^12+12*x^11+x^10+2*x^9+3*x^8+x^7+8*x^6+x^5+3*x^4+2*x^3+x^2+12*x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040345 11.2547 [-(x+1)*(19*x^4-10*x^3+11*x^2-10*x+19)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040345 7.18550 [-(9+2*x+2*x^7+3*x^6+36*x^5+3*x^2+36*x^3+190*x^4+9*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(19*x^4-10*x^3+11*x^2-10*x+19) lgdogf] A040346 6.30482 [-(19*x^12+7*x^11+x^10+x^9+x^8+2*x^7+12*x^6+2*x^5+x^4+x^3+x^2+7*x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040348 12.6973 [-(19*x^4+5*x^3+2*x^2+5*x+19)/(x-1)/(x+1)/(x^2+1) ogf] A040348 8.5931 [(576*f(x)-10375)*(f(x)*x^4+19*x^4+5*x^3+2*x^2-f(x)+5*x+19) ogf] A040348 9.25549 [-(5+4*x+5*x^6+15*x^2+152*x^3+15*x^4+4*x^5)/(x-1)/(x+1)/(19*x^4+5*x^3+2*x^2+5*x+19)/(1+x^2) lgdogf] A040349 6.36640 [-(19*x^12+4*x^11+x^10+3*x^9+2*x^8+7*x^7+4*x^6+7*x^5+2*x^4+3*x^3+x^2+4*x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040350 12.1494 [-2*(2+4*x+57*x^2+4*x^3+2*x^4)/(x-1)/(x+1)/(x^2+x+1)/(19*x^2-15*x+19) lgdogf] A040350 14.3006 [-(x+1)*(19*x^2-15*x+19)/(x-1)/(x^2+x+1) ogf] A040350 8.60953 [{-a(n+4)+a(n+1),a(0)=19,a(1)=4,a(2)=4,a(3)=38} ogf] A040350 9.37482 [-(5*f(x)-92)*(f(x)*x^3+19*x^3+4*x^2-f(x)+4*x+19) ogf] A040351 10.3308 [-(19*x^6+3*x^5+x^4+4*x^3+x^2+3*x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040352 10.0445 [-(19*x^6+3*x^5+2*x^4+12*x^3+2*x^2+3*x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040353 11.2547 [-(x+1)*(19*x^4-16*x^3+21*x^2-16*x+19)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040353 6.94397 [-(3+10*x+10*x^7+15*x^6+12*x^5+15*x^2+12*x^3+190*x^4+3*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(19*x^4-16*x^3+21*x^2-16*x+19) lgdogf] A040354 10.0445 [-(19*x^6+2*x^5+x^4+18*x^3+x^2+2*x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040354 6.25876 [-2*(1+x+x^9+5*x^6+27*x^8+2*x^7+27*x^2+2*x^3+5*x^4+114*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(19*x^6+2*x^5+x^4+18*x^3+x^2+2*x+19) lgdogf] A040355 7.38431 [-(19*x^10+2*x^9+x^8+2*x^7+x^6+5*x^5+x^4+2*x^3+x^2+2*x+19)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040356 4.97347 [-(19*x^16+2*x^15+x^14+x^13+3*x^12+x^11+2*x^10+2*x^9+4*x^8+2*x^7+2*x^6+x^5+3*x^4+x^3+x^2+2*x+19)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040357 12.6973 [-(19*x^4+2*x^3+2*x^2+2*x+19)/(x-1)/(x+1)/(x^2+1) ogf] A040357 9.05018 [(5*f(x)-99)*(f(x)*x^4+19*x^4+2*x^3+2*x^2-f(x)+2*x+19) ogf] A040357 9.57465 [-2*(1+2*x+x^6+3*x^2+76*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(19*x^4+2*x^3+2*x^2+2*x+19)/(1+x^2) lgdogf] A040358 8.59288 [-(19*x^8+2*x^7+3*x^6+x^5+4*x^4+x^3+3*x^2+2*x+19)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040360 12.3081 [-(2*x^2+76*x+2)/(19*x^4+2*x^3-2*x-19) lgdogf] A040360 14.9935 [-f(x)*x^2-19*x^2+f(x)-2*x-19 ogf] A040360 16.1694 [-(19*x^2+2*x+19)/(x-1)/(x+1) ogf] A040360 18.7761 [-2*(1+38*x+x^2)/(x-1)/(x+1)/(19*x^2+2*x+19) lgdogf] A040360 9.58885 [{-a(n+3)+a(n+1),a(0)=19,a(1)=2,a(2)=38} ogf] A040361 10.0445 [-(19*x^6+x^5+x^4+12*x^3+x^2+x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040361 6.35505 [-(1+2*x+2*x^9+5*x^6+36*x^8+4*x^7+36*x^2+4*x^3+5*x^4+228*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(19*x^6+x^5+x^4+12*x^3+x^2+x+19) lgdogf] A040363 8.50717 [-(x^2-x+1)*(19*x^6+20*x^5+2*x^4-15*x^3+2*x^2+20*x+19)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040364 8.59288 [-(19*x^8+x^7+x^6+2*x^5+9*x^4+2*x^3+x^2+x+19)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040365 4.97347 [-(19*x^16+x^15+x^14+x^13+x^12+x^11+3*x^10+x^9+2*x^8+x^7+3*x^6+x^5+x^4+x^3+x^2+x+19)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040366 6.30482 [-(19*x^12+x^11+x^10+x^9+4*x^8+x^7+18*x^6+x^5+4*x^4+x^3+x^2+x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040367 10.0445 [-(19*x^6+x^5+2*x^4+19*x^3+2*x^2+x+19)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040367 6.16535 [-(1+4*x+4*x^9+5*x^6+57*x^8+8*x^7+57*x^2+8*x^3+5*x^4+228*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(19*x^6+x^5+2*x^4+19*x^3+2*x^2+x+19) lgdogf] A040369 8.01243 [-(x+1)*(19*x^8-18*x^7+20*x^6-19*x^5+20*x^4-19*x^3+20*x^2-18*x+19)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040370 10.1585 [-(1+4*x+x^6+3*x^2+152*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(19*x^4+x^3+2*x^2+x+19) lgdogf] A040370 12.6973 [-(19*x^4+x^3+2*x^2+x+19)/(x-1)/(x+1)/(x^2+1) ogf] A040370 8.50717 [(2880*f(x)-54131)*(f(x)*x^4+19*x^4+x^3+2*x^2-f(x)+x+19) ogf] A040372 10.1585 [-(1+6*x+x^6+3*x^2+152*x^3+3*x^4+6*x^5)/(x-1)/(x+1)/(1+x^2)/(19*x^4+x^3+3*x^2+x+19) lgdogf] A040372 12.6973 [-(19*x^4+x^3+3*x^2+x+19)/(x-1)/(x+1)/(x^2+1) ogf] A040372 8.34036 [(50225*f(x)-932412)*(f(x)*x^4+19*x^4+x^3+3*x^2-f(x)+x+19) ogf] A040375 12.6973 [-(19*x^4+x^3+6*x^2+x+19)/(x-1)/(x+1)/(x^2+1) ogf] A040375 8.34036 [(22528*f(x)-384951)*(f(x)*x^4+19*x^4+x^3+6*x^2-f(x)+x+19) ogf] A040375 9.91660 [-(1+12*x+x^6+3*x^2+152*x^3+3*x^4+12*x^5)/(x-1)/(x+1)/(1+x^2)/(19*x^4+x^3+6*x^2+x+19) lgdogf] A040376 12.6973 [-(19*x^4+x^3+8*x^2+x+19)/(x-1)/(x+1)/(x^2+1) ogf] A040376 8.68078 [(575*f(x)-8756)*(f(x)*x^4+19*x^4+x^3+8*x^2-f(x)+x+19) ogf] A040376 9.91660 [-(1+16*x+x^6+3*x^2+152*x^3+3*x^4+16*x^5)/(x-1)/(x+1)/(1+x^2)/(19*x^4+x^3+8*x^2+x+19) lgdogf] A040378 12.1271 [-(19*x^2+20*x+19)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040378 8.00622 [(11200*f(x)+221589)*(f(x)*x^4+19*x^4+x^3+18*x^2-f(x)+x+19) ogf] A040378 9.28012 [-(1+36*x+x^6+3*x^2+152*x^3+3*x^4+36*x^5)/(x-1)/(x+1)/(1+x^2)/(19*x^2+20*x+19)/(x^2-x+1) lgdogf] A040379 12.3081 [-(x^2+76*x+1)/(19*x^4+x^3-x-19) lgdogf] A040379 14.9935 [-f(x)*x^2-19*x^2+f(x)-x-19 ogf] A040379 16.1694 [-(19*x^2+x+19)/(x-1)/(x+1) ogf] A040379 20.7018 [-(1+76*x+x^2)/(x-1)/(x+1)/(19*x^2+x+19) lgdogf] A040379 9.58885 [{-a(n+3)+a(n+1),a(0)=19,a(1)=1,a(2)=38} ogf] A040380 10.7497 [{a(n+2)-a(n+1),a(0)=20,a(1)=40} ogf] A040380 16.9251 [-f(x)*x+f(x)-20*x-20 ogf] A040380 20.3969 [-20*(x+1)/(x-1) ogf] A040380 20.4976 [-1/2-1/40*x+1/40*(400+120*x+x^2)^(1/2) revogf] A040380 24.8588 [2/(-x^2+1) lgdogf] A040380 37.7338 [[2-x] ogf_with_Euler_transform] A040380 55.6363 [-2/(x-1)/(x+1) lgdogf] A040381 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040381 15.2977 [-20*(x^2+x+1)/(x-1)/(x+1) ogf] A040381 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040381 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040381 9.14346 [{-a(n+3)+a(n+1),a(0)=20,a(1)=20,a(2)=40} ogf] A040381 9.58412 [-(f(x)-15)*(f(x)*x^2+20*x^2-f(x)+20*x+20) ogf] A040382 7.01635 [-(20*x^10+13*x^9+2*x^8+x^7+3*x^6+x^5+3*x^4+x^3+2*x^2+13*x+20)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040383 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040383 14.205 [-f(x)*x^2-20*x^2+f(x)-10*x-20 ogf] A040383 15.2977 [-10*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040383 21.6363 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040383 9.14346 [{-a(n+3)+a(n+1),a(0)=20,a(1)=10,a(2)=40} ogf] A040384 12.6868 [-(2*x^2+20*x+2)/(5*x^4+2*x^3-2*x-5) lgdogf] A040384 14.9935 [-f(x)*x^2-20*x^2+f(x)-8*x-20 ogf] A040384 16.1694 [-4*(5*x^2+2*x+5)/(x-1)/(x+1) ogf] A040384 19.6920 [-2*(1+10*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A040384 9.58885 [{-a(n+3)+a(n+1),a(0)=20,a(1)=8,a(2)=40} ogf] A040386 10.3308 [-(20*x^6+5*x^5+x^4+2*x^3+x^2+5*x+20)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040387 10.0566 [(104*f(x)-2079)*(f(x)*x^2+20*x^2-f(x)+5*x+20) ogf] A040387 12.6868 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040387 16.1694 [-5*(4*x^2+x+4)/(x-1)/(x+1) ogf] A040387 21.8208 [-(1+16*x+x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A040387 9.58885 [{-a(n+3)+a(n+1),a(0)=20,a(1)=5,a(2)=40} ogf] A040389 12.6868 [-(x^2+20*x+1)/(5*x^4+x^3-x-5) lgdogf] A040389 16.1694 [-4*(5*x^2+x+5)/(x-1)/(x+1) ogf] A040389 21.8208 [-(1+20*x+x^2)/(x-1)/(x+1)/(5*x^2+x+5) lgdogf] A040389 9.58885 [{-a(n+3)+a(n+1),a(0)=20,a(1)=4,a(2)=40} ogf] A040389 9.93542 [(505*f(x)-10098)*(f(x)*x^2+20*x^2-f(x)+4*x+20) ogf] A040390 7.15342 [-(20*x^10+3*x^9+x^8+x^7+x^6+19*x^5+x^4+x^3+x^2+3*x+20)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040392 8.59288 [-(20*x^8+3*x^7+9*x^6+x^5+4*x^4+x^3+9*x^2+3*x+20)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040393 8.59288 [-(20*x^8+2*x^7+x^6+7*x^5+2*x^4+7*x^3+x^2+2*x+20)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040394 4.97347 [-(20*x^16+2*x^15+x^14+2*x^13+4*x^12+6*x^11+x^10+x^9+3*x^8+x^7+x^6+6*x^5+4*x^4+2*x^3+x^2+2*x+20)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040395 8.59288 [-(20*x^8+2*x^7+x^6+x^5+9*x^4+x^3+x^2+2*x+20)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040397 10.0445 [-2*(10*x^6+x^5+2*x^4+10*x^3+2*x^2+x+10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040397 6.16535 [-(1+4*x+4*x^9+5*x^6+30*x^8+8*x^7+30*x^2+8*x^3+5*x^4+120*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(10*x^6+x^5+2*x^4+10*x^3+2*x^2+x+10) lgdogf] A040399 12.3081 [-(x^2+40*x+1)/(10*x^4+x^3-x-10) lgdogf] A040399 16.1694 [-2*(10*x^2+x+10)/(x-1)/(x+1) ogf] A040399 20.7018 [-(1+40*x+x^2)/(x-1)/(x+1)/(10*x^2+x+10) lgdogf] A040399 9.58885 [{-a(n+3)+a(n+1),a(0)=20,a(1)=2,a(2)=40} ogf] A040399 9.81715 [(4010*f(x)-80199)*(f(x)*x^2+20*x^2-f(x)+2*x+20) ogf] A040402 8.59288 [-(20*x^8+x^7+x^6+3*x^5+4*x^4+3*x^3+x^2+x+20)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040404 9.32443 [-(x+1)*(20*x^6-19*x^5+20*x^4-19*x^3+20*x^2-19*x+20)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1) ogf] A040405 6.36640 [-(20*x^12+x^11+x^10+x^9+3*x^8+2*x^7+6*x^6+2*x^5+3*x^4+x^3+x^2+x+20)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040406 10.4124 [-(1+2*x+x^6+3*x^2+160*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(20*x^4+x^3+x^2+x+20) lgdogf] A040406 12.6973 [-(20*x^4+x^3+x^2+x+20)/(x-1)/(x+1)/(x^2+1) ogf] A040406 8.86163 [(41*f(x)-817)*(f(x)*x^4+20*x^4+x^3+x^2-f(x)+x+20) ogf] A040407 6.30482 [-(20*x^12+x^11+2*x^10+4*x^9+x^8+5*x^7+10*x^6+5*x^5+x^4+4*x^3+2*x^2+x+20)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040408 6.30482 [-(20*x^12+x^11+2*x^10+2*x^9+9*x^8+x^7+12*x^6+x^5+9*x^4+2*x^3+2*x^2+x+20)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040411 8.59288 [-(20*x^8+x^7+3*x^6+x^5+x^4+x^3+3*x^2+x+20)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040413 10.1585 [-(1+8*x+x^6+3*x^2+160*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(20*x^4+x^3+4*x^2+x+20) lgdogf] A040413 12.6973 [-(20*x^4+x^3+4*x^2+x+20)/(x-1)/(x+1)/(x^2+1) ogf] A040413 8.17997 [-(3168*f(x)-61019)*(f(x)*x^4+20*x^4+x^3+4*x^2-f(x)+x+20) ogf] A040414 12.6973 [-(20*x^4+x^3+5*x^2+x+20)/(x-1)/(x+1)/(x^2+1) ogf] A040414 8.10207 [-(6125*f(x)-115197)*(f(x)*x^4+20*x^4+x^3+5*x^2-f(x)+x+20) ogf] A040414 9.91660 [-(1+10*x+x^6+3*x^2+160*x^3+3*x^4+10*x^5)/(x-1)/(x+1)/(1+x^2)/(20*x^4+x^3+5*x^2+x+20) lgdogf] A040416 10.3308 [-(x^2+1)*(20*x^4+x^3-11*x^2+x+20)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040416 6.36054 [-(1+18*x+18*x^9+5*x^6+6*x^8+36*x^7+6*x^2+36*x^3+5*x^4+240*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(20*x^4+x^3-11*x^2+x+20) lgdogf] A040417 12.1271 [-(20*x^4+x^3+12*x^2+x+20)/(x-1)/(x+1)/(x^2+1) ogf] A040417 8.00622 [(20384*f(x)-205875)*(f(x)*x^4+20*x^4+x^3+12*x^2-f(x)+x+20) ogf] A040417 9.49848 [-(1+24*x+x^6+3*x^2+160*x^3+3*x^4+24*x^5)/(x-1)/(x+1)/(1+x^2)/(20*x^4+x^3+12*x^2+x+20) lgdogf] A040418 12.1271 [-(20*x^2+21*x+20)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040418 8.16475 [(2891*f(x)+61427)*(f(x)*x^4+20*x^4+x^3+19*x^2-f(x)+x+20) ogf] A040418 9.28012 [-(1+38*x+x^6+3*x^2+160*x^3+3*x^4+38*x^5)/(x-1)/(x+1)/(1+x^2)/(20*x^2+21*x+20)/(x^2-x+1) lgdogf] A040419 12.3081 [-(x^2+80*x+1)/(20*x^4+x^3-x-20) lgdogf] A040419 16.1694 [-(20*x^2+x+20)/(x-1)/(x+1) ogf] A040419 20.7018 [-(1+80*x+x^2)/(x-1)/(x+1)/(20*x^2+x+20) lgdogf] A040419 9.47862 [(64040*f(x)-1280799)*(f(x)*x^2+20*x^2-f(x)+x+20) ogf] A040419 9.58885 [{-a(n+3)+a(n+1),a(0)=20,a(1)=1,a(2)=40} ogf] A040420 10.7497 [{a(n+2)-a(n+1),a(0)=21,a(1)=42} ogf] A040420 16.9251 [-f(x)*x+f(x)-21*x-21 ogf] A040420 20.3969 [-21*(x+1)/(x-1) ogf] A040420 20.4976 [-1/42*x-1/2+1/42*(x^2+126*x+441)^(1/2) revogf] A040420 24.8588 [2/(-x^2+1) lgdogf] A040420 37.7338 [[2-x] ogf_with_Euler_transform] A040420 55.6363 [-2/(x-1)/(x+1) lgdogf] A040421 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040421 15.2977 [-21*(x^2+x+1)/(x-1)/(x+1) ogf] A040421 22.9091 [-(1+4*x+x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A040421 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040421 9.14346 [{-a(n+3)+a(n+1),a(0)=21,a(1)=21,a(2)=42} ogf] A040421 9.58412 [-(4*f(x)-63)*(f(x)*x^2+21*x^2-f(x)+21*x+21) ogf] A040422 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040422 14.205 [-f(x)*x^2-21*x^2+f(x)-14*x-21 ogf] A040422 15.2977 [-7*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040422 19.4727 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040422 9.14346 [{-a(n+3)+a(n+1),a(0)=21,a(1)=14,a(2)=42} ogf] A040423 10.6084 [-(x+1)*(21*x^4-11*x^3+12*x^2-11*x+21)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040423 6.83536 [-(10+2*x+3*x^6+10*x^8+2*x^7+3*x^2+40*x^3+210*x^4+40*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(21*x^4-11*x^3+12*x^2-11*x+21) lgdogf] A040424 4.94590 [-(21*x^16+8*x^15+2*x^14+2*x^13+x^12+3*x^11+x^10+x^9+20*x^8+x^7+x^6+3*x^5+x^4+2*x^3+2*x^2+8*x+21)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040425 12.6868 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040425 14.9935 [-f(x)*x^2-21*x^2+f(x)-7*x-21 ogf] A040425 16.1694 [-7*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040425 21.8208 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040425 9.58885 [{-a(n+3)+a(n+1),a(0)=21,a(1)=7,a(2)=42} ogf] A040426 12.6868 [-(2*x^2+28*x+2)/(7*x^4+2*x^3-2*x-7) lgdogf] A040426 14.9935 [-f(x)*x^2-21*x^2+f(x)-6*x-21 ogf] A040426 16.1694 [-3*(7*x^2+2*x+7)/(x-1)/(x+1) ogf] A040426 19.6920 [-2*(1+14*x+x^2)/(x-1)/(x+1)/(7*x^2+2*x+7) lgdogf] A040426 9.58885 [{-a(n+3)+a(n+1),a(0)=21,a(1)=6,a(2)=42} ogf] A040428 8.59288 [-(21*x^8+4*x^7+x^6+2*x^5+4*x^4+2*x^3+x^2+4*x+21)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040429 7.15342 [-(21*x^10+4*x^9+4*x^8+2*x^7+8*x^6+21*x^5+8*x^4+2*x^3+4*x^2+4*x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040430 7.15342 [-(21*x^10+3*x^9+x^8+5*x^7+3*x^6+10*x^5+3*x^4+5*x^3+x^2+3*x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040431 6.93443 [-(21*x^10+3*x^9+x^8+x^7+10*x^6+14*x^5+10*x^4+x^3+x^2+3*x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040433 12.6868 [-(x^2+28*x+1)/(7*x^4+x^3-x-7) lgdogf] A040433 14.9935 [-f(x)*x^2-21*x^2+f(x)-3*x-21 ogf] A040433 16.1694 [-3*(7*x^2+x+7)/(x-1)/(x+1) ogf] A040433 21.8208 [-(1+28*x+x^2)/(x-1)/(x+1)/(7*x^2+x+7) lgdogf] A040433 9.58885 [{-a(n+3)+a(n+1),a(0)=21,a(1)=3,a(2)=42} ogf] A040434 10.3308 [-(21*x^4+2*x^3-20*x^2+2*x+21)*(x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040434 6.45839 [-2*(1+x+x^9+5*x^6+6*x^8+2*x^7+6*x^2+2*x^3+5*x^4+126*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(21*x^4+2*x^3-20*x^2+2*x+21)/(1+x^2) lgdogf] A040436 12.5175 [-2*(1+2*x+63*x^2+2*x^3+x^4)/(x-1)/(x+1)/(21*x^2-19*x+21)/(x^2+x+1) lgdogf] A040436 14.3006 [-(x+1)*(21*x^2-19*x+21)/(x-1)/(x^2+x+1) ogf] A040436 8.60953 [{-a(n+4)+a(n+1),a(0)=21,a(1)=2,a(2)=2,a(3)=42} ogf] A040436 9.17102 [-(43*f(x)-897)*(f(x)*x^3+21*x^3+2*x^2-f(x)+2*x+21) ogf] A040437 7.15342 [-(21*x^10+2*x^9+2*x^8+x^7+4*x^6+21*x^5+4*x^4+x^3+2*x^2+2*x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040438 6.30482 [-(21*x^12+2*x^11+4*x^10+3*x^9+x^8+2*x^7+10*x^6+2*x^5+x^4+3*x^3+4*x^2+2*x+21)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040440 12.3081 [-(2*x^2+84*x+2)/(21*x^4+2*x^3-2*x-21) lgdogf] A040440 14.9935 [-f(x)*x^2-21*x^2+f(x)-2*x-21 ogf] A040440 16.1694 [-(21*x^2+2*x+21)/(x-1)/(x+1) ogf] A040440 18.7761 [-2*(1+42*x+x^2)/(x-1)/(x+1)/(21*x^2+2*x+21) lgdogf] A040440 9.58885 [{-a(n+3)+a(n+1),a(0)=21,a(1)=2,a(2)=42} ogf] A040442 7.38431 [-(21*x^10+x^9+x^8+5*x^7+x^6+x^5+x^4+5*x^3+x^2+x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040443 7.38431 [-(21*x^10+x^9+x^8+3*x^7+2*x^6+2*x^5+2*x^4+3*x^3+x^2+x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040446 8.59288 [-(21*x^8+x^7+x^6+x^5+2*x^4+x^3+x^2+x+21)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040447 7.11000 [-(21*x^10+x^9+x^8+x^7+10*x^6+6*x^5+10*x^4+x^3+x^2+x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040448 10.3308 [-(21*x^6+x^5+2*x^4+8*x^3+2*x^2+x+21)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040448 6.31271 [-(1+4*x+4*x^9+5*x^6+24*x^8+8*x^7+24*x^2+8*x^3+5*x^4+252*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(21*x^6+x^5+2*x^4+8*x^3+2*x^2+x+21) lgdogf] A040451 10.1585 [-(1+4*x+x^6+3*x^2+168*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(21*x^4+x^3+2*x^2+x+21) lgdogf] A040451 12.6973 [-(21*x^4+x^3+2*x^2+x+21)/(x-1)/(x+1)/(x^2+1) ogf] A040451 8.34036 [(35200*f(x)-732711)*(f(x)*x^4+21*x^4+x^3+2*x^2-f(x)+x+21) ogf] A040453 7.38431 [-(21*x^10+x^9+3*x^8+x^7+6*x^6+2*x^5+6*x^4+x^3+3*x^2+x+21)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040454 8.50717 [-(21*x^8+x^7+4*x^6+2*x^5+10*x^4+2*x^3+4*x^2+x+21)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040457 6.30482 [-(21*x^12+x^11+7*x^10+x^9+3*x^8+2*x^7+21*x^6+2*x^5+3*x^4+x^3+7*x^2+x+21)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040458 12.6973 [-(21*x^4+x^3+9*x^2+x+21)/(x-1)/(x+1)/(x^2+1) ogf] A040458 8.34036 [(55539*f(x)-924532)*(f(x)*x^4+21*x^4+x^3+9*x^2-f(x)+x+21) ogf] A040458 9.91660 [-(1+18*x+x^6+3*x^2+168*x^3+3*x^4+18*x^5)/(x-1)/(x+1)/(1+x^2)/(21*x^4+x^3+9*x^2+x+21) lgdogf] A040460 12.1271 [-(21*x^2+22*x+21)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040460 8.16475 [(3751*f(x)+85200)*(f(x)*x^4+21*x^4+x^3+20*x^2-f(x)+x+21) ogf] A040460 9.28012 [-(1+40*x+x^6+3*x^2+168*x^3+3*x^4+40*x^5)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1)/(21*x^2+22*x+21) lgdogf] A040461 12.3081 [-(x^2+84*x+1)/(21*x^4+x^3-x-21) lgdogf] A040461 14.9935 [-f(x)*x^2-21*x^2+f(x)-x-21 ogf] A040461 16.1694 [-(21*x^2+x+21)/(x-1)/(x+1) ogf] A040461 20.7018 [-(1+84*x+x^2)/(x-1)/(x+1)/(21*x^2+x+21) lgdogf] A040461 9.58885 [{-a(n+3)+a(n+1),a(0)=21,a(1)=1,a(2)=42} ogf] A040462 10.7497 [{a(n+2)-a(n+1),a(0)=22,a(1)=44} ogf] A040462 16.9251 [-f(x)*x+f(x)-22*x-22 ogf] A040462 20.3969 [-22*(x+1)/(x-1) ogf] A040462 20.4976 [-1/44*x-1/2+1/44*(x^2+132*x+484)^(1/2) revogf] A040462 24.8588 [2/(-x^2+1) lgdogf] A040462 37.7338 [[2-x] ogf_with_Euler_transform] A040462 55.6363 [-2/(x-1)/(x+1) lgdogf] A040463 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040463 15.2977 [-22*(x^2+x+1)/(x-1)/(x+1) ogf] A040463 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040463 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040463 9.14346 [{-a(n+3)+a(n+1),a(0)=22,a(1)=22,a(2)=44} ogf] A040463 9.58412 [-(5*f(x)-99)*(f(x)*x^2+22*x^2-f(x)+22*x+22) ogf] A040465 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040465 14.205 [-f(x)*x^2-22*x^2+f(x)-11*x-22 ogf] A040465 15.2977 [-11*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040465 21.6363 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040465 9.14346 [{-a(n+3)+a(n+1),a(0)=22,a(1)=11,a(2)=44} ogf] A040467 7.38431 [-(22*x^10+7*x^9+2*x^8+x^7+4*x^6+4*x^5+4*x^4+x^3+2*x^2+7*x+22)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040469 8.50717 [-(22*x^8+5*x^7+x^6+x^5+10*x^4+x^3+x^2+5*x+22)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040470 7.74068 [-(x+1)*(22*x^8-18*x^7+19*x^6-9*x^5+12*x^4-9*x^3+19*x^2-18*x+22)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040471 7.38431 [-(22*x^10+4*x^9+2*x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+2*x^2+4*x+22)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040472 12.3081 [-(2*x^2+44*x+2)/(11*x^4+2*x^3-2*x-11) lgdogf] A040472 14.9935 [-f(x)*x^2-22*x^2+f(x)-4*x-22 ogf] A040472 16.1694 [-2*(11*x^2+2*x+11)/(x-1)/(x+1) ogf] A040472 18.7761 [-2*(1+22*x+x^2)/(x-1)/(x+1)/(11*x^2+2*x+11) lgdogf] A040472 9.58885 [{-a(n+3)+a(n+1),a(0)=22,a(1)=4,a(2)=44} ogf] A040473 4.97347 [-(22*x^16+3*x^15+x^14+2*x^13+4*x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+x^6+x^5+4*x^4+2*x^3+x^2+3*x+22)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040474 7.38431 [-(22*x^10+3*x^9+2*x^8+2*x^7+5*x^6+6*x^5+5*x^4+2*x^3+2*x^2+3*x+22)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040475 10.0445 [-(22*x^6+3*x^5+6*x^4+22*x^3+6*x^2+3*x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040476 10.0445 [-(22*x^6+2*x^5+x^4+21*x^3+x^2+2*x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040480 8.50717 [-(22*x^6-20*x^5+21*x^3-20*x+22)*(x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040481 10.2839 [-(1+4*x+x^6+3*x^2+88*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(11*x^4+x^3+2*x^2+x+11) lgdogf] A040481 12.6973 [-2*(11*x^4+x^3+2*x^2+x+11)/(x-1)/(x+1)/(x^2+1) ogf] A040481 8.5931 [(800*f(x)-17017)*(f(x)*x^4+22*x^4+2*x^3+4*x^2-f(x)+2*x+22) ogf] A040482 10.2839 [-(1+8*x+x^6+3*x^2+88*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(11*x^4+x^3+4*x^2+x+11) lgdogf] A040482 12.6973 [-2*(11*x^4+x^3+4*x^2+x+11)/(x-1)/(x+1)/(x^2+1) ogf] A040482 8.68078 [(117*f(x)-2212)*(f(x)*x^4+22*x^4+2*x^3+8*x^2-f(x)+2*x+22) ogf] A040483 12.3081 [-(x^2+44*x+1)/(11*x^4+x^3-x-11) lgdogf] A040483 14.9935 [-f(x)*x^2-22*x^2+f(x)-2*x-22 ogf] A040483 16.1694 [-2*(11*x^2+x+11)/(x-1)/(x+1) ogf] A040483 20.7018 [-(1+44*x+x^2)/(x-1)/(x+1)/(11*x^2+x+11) lgdogf] A040483 9.58885 [{-a(n+3)+a(n+1),a(0)=22,a(1)=2,a(2)=44} ogf] A040484 10.0445 [-(22*x^6+x^5+x^4+14*x^3+x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040484 6.35505 [-(1+2*x+2*x^9+5*x^6+42*x^8+4*x^7+42*x^2+4*x^3+5*x^4+264*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(22*x^6+x^5+x^4+14*x^3+x^2+x+22) lgdogf] A040487 10.3308 [-(x^2+1)*(22*x^4+x^3-21*x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040487 6.55931 [-(1+2*x+2*x^9+5*x^6+6*x^8+4*x^7+6*x^2+4*x^3+5*x^4+264*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(22*x^4+x^3-21*x^2+x+22) lgdogf] A040489 6.30482 [-(22*x^12+x^11+x^10+x^9+2*x^8+6*x^7+11*x^6+6*x^5+2*x^4+x^3+x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040490 4.97347 [-(22*x^16+x^15+x^14+x^13+5*x^12+x^11+4*x^10+5*x^9+2*x^8+5*x^7+4*x^6+x^5+5*x^4+x^3+x^2+x+22)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040491 10.0445 [-(22*x^6+x^5+2*x^4+22*x^3+2*x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040491 6.16535 [-(1+4*x+4*x^9+5*x^6+66*x^8+8*x^7+66*x^2+8*x^3+5*x^4+264*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(22*x^6+x^5+2*x^4+22*x^3+2*x^2+x+22) lgdogf] A040492 7.38431 [-(22*x^10+x^9+2*x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+2*x^2+x+22)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040493 7.15342 [-(22*x^10+x^9+2*x^8+x^7+x^6+14*x^5+x^4+x^3+2*x^2+x+22)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040495 10.3308 [-(22*x^6+x^5+3*x^4+6*x^3+3*x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040497 10.0445 [-(22*x^6+x^5+4*x^4+11*x^3+4*x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040499 7.38431 [-(22*x^10+x^9+5*x^8+x^7+x^6+4*x^5+x^4+x^3+5*x^2+x+22)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040502 6.11644 [-(1+20*x+20*x^9+5*x^6+6*x^8+40*x^7+6*x^2+40*x^3+5*x^4+264*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(22*x^4+x^3-12*x^2+x+22) lgdogf] A040502 9.70166 [-(x^2+1)*(22*x^4+x^3-12*x^2+x+22)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040504 12.1271 [-(22*x^2+23*x+22)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040504 8.00622 [(34385*f(x)+831537)*(f(x)*x^4+22*x^4+x^3+21*x^2-f(x)+x+22) ogf] A040504 9.28012 [-(1+42*x+x^6+3*x^2+176*x^3+3*x^4+42*x^5)/(x-1)/(x+1)/(22*x^2+23*x+22)/(x^2-x+1)/(1+x^2) lgdogf] A040505 12.3081 [-(x^2+88*x+1)/(22*x^4+x^3-x-22) lgdogf] A040505 14.9935 [-f(x)*x^2-22*x^2+f(x)-x-22 ogf] A040505 16.1694 [-(22*x^2+x+22)/(x-1)/(x+1) ogf] A040505 20.7018 [-(1+88*x+x^2)/(x-1)/(x+1)/(22*x^2+x+22) lgdogf] A040505 9.58885 [{-a(n+3)+a(n+1),a(0)=22,a(1)=1,a(2)=44} ogf] A040506 10.7497 [{a(n+2)-a(n+1),a(0)=23,a(1)=46} ogf] A040506 16.9251 [-f(x)*x+f(x)-23*x-23 ogf] A040506 20.3969 [-23*(x+1)/(x-1) ogf] A040506 20.4976 [-1/46*x-1/2+1/46*(x^2+138*x+529)^(1/2) revogf] A040506 24.8588 [2/(-x^2+1) lgdogf] A040506 37.7338 [[2-x] ogf_with_Euler_transform] A040506 55.6363 [-2/(x-1)/(x+1) lgdogf] A040507 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040507 15.2977 [-23*(x^2+x+1)/(x-1)/(x+1) ogf] A040507 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040507 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040507 9.14346 [{-a(n+3)+a(n+1),a(0)=23,a(1)=23,a(2)=46} ogf] A040507 9.58412 [-(4*f(x)-69)*(f(x)*x^2+23*x^2-f(x)+23*x+23) ogf] A040508 7.01635 [-(23*x^10+15*x^9+2*x^8+x^7+4*x^6+2*x^5+4*x^4+x^3+2*x^2+15*x+23)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040509 10.6084 [-(x+1)*(23*x^4-12*x^3+13*x^2-12*x+23)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040509 6.83536 [-(11+2*x+3*x^6+11*x^8+2*x^7+3*x^2+44*x^3+230*x^4+44*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(23*x^4-12*x^3+13*x^2-12*x+23) lgdogf] A040510 7.15342 [-(23*x^10+9*x^9+4*x^8+x^7+x^6+22*x^5+x^4+x^3+4*x^2+9*x+23)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040511 6.36640 [-(23*x^12+7*x^11+x^10+2*x^9+4*x^8+x^7+3*x^6+x^5+4*x^4+2*x^3+x^2+7*x+23)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040512 7.38431 [-(23*x^10+6*x^9+x^8+x^7+2*x^6+5*x^5+2*x^4+x^3+x^2+6*x+23)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040514 9.32443 [-(x+1)*(23*x^6-18*x^5+25*x^4-24*x^3+25*x^2-18*x+23)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1) ogf] A040515 8.59288 [-(23*x^8+4*x^7+x^6+x^5+x^4+x^3+x^2+4*x+23)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040516 8.50717 [-(23*x^8+4*x^7+4*x^6+x^5+10*x^4+x^3+4*x^2+4*x+23)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040518 4.94590 [-(x^2-x+1)*(23*x^14+26*x^13+4*x^12-21*x^11-22*x^10+23*x^8+24*x^7+23*x^6-22*x^4-21*x^3+4*x^2+26*x+23)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040519 7.15342 [-(23*x^10+3*x^9+3*x^8+3*x^7+x^6+14*x^5+x^4+3*x^3+3*x^2+3*x+23)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040520 12.1271 [-(23*x^4+3*x^3+11*x^2+3*x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040520 8.00622 [-(475*f(x)-7956)*(f(x)*x^4+23*x^4+3*x^3+11*x^2-f(x)+3*x+23) ogf] A040520 8.87220 [-(3+22*x+3*x^6+9*x^2+184*x^3+9*x^4+22*x^5)/(x-1)/(x+1)/(1+x^2)/(23*x^4+3*x^3+11*x^2+3*x+23) lgdogf] A040521 10.3308 [-(23*x^6+2*x^5+x^4+8*x^3+x^2+2*x+23)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040521 6.40909 [-2*(1+x+x^9+5*x^6+12*x^8+2*x^7+12*x^2+2*x^3+5*x^4+138*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(23*x^6+2*x^5+x^4+8*x^3+x^2+2*x+23) lgdogf] A040522 10.3308 [-(23*x^6+2*x^5+x^4+2*x^3+x^2+2*x+23)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040522 6.50846 [-2*(1+x+x^9+5*x^6+3*x^8+2*x^7+3*x^2+2*x^3+5*x^4+138*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(23*x^6+2*x^5+x^4+2*x^3+x^2+2*x+23) lgdogf] A040526 4.97347 [-(23*x^16+2*x^15+4*x^14+x^13+2*x^12+x^11+x^10+7*x^9+4*x^8+7*x^7+x^6+x^5+2*x^4+x^3+4*x^2+2*x+23)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040527 10.3308 [-(23*x^6+2*x^5+8*x^4+x^3+8*x^2+2*x+23)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040528 12.3081 [-(2*x^2+92*x+2)/(23*x^4+2*x^3-2*x-23) lgdogf] A040528 14.9935 [-f(x)*x^2-23*x^2+f(x)-2*x-23 ogf] A040528 16.1694 [-(23*x^2+2*x+23)/(x-1)/(x+1) ogf] A040528 18.7761 [-2*(1+46*x+x^2)/(x-1)/(x+1)/(23*x^2+2*x+23) lgdogf] A040528 9.58885 [{-a(n+3)+a(n+1),a(0)=23,a(1)=2,a(2)=46} ogf] A040530 6.85686 [-(x+1)*(23*x^10-22*x^9+23*x^8-17*x^7+21*x^6-20*x^5+21*x^4-17*x^3+23*x^2-22*x+23)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040531 8.59288 [-(23*x^8+x^7+x^6+3*x^5+x^4+3*x^3+x^2+x+23)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040533 11.2547 [-(x+1)*(23*x^4-22*x^3+23*x^2-22*x+23)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040533 7.44444 [-(1+2*x+2*x^7+3*x^6+4*x^5+3*x^2+4*x^3+230*x^4+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(23*x^4-22*x^3+23*x^2-22*x+23) lgdogf] A040534 6.36640 [-(23*x^12+x^11+x^10+x^9+x^8+x^7+4*x^6+x^5+x^4+x^3+x^2+x+23)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040536 10.4124 [-(1+2*x+x^6+3*x^2+184*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(23*x^4+x^3+x^2+x+23) lgdogf] A040536 12.6973 [-(23*x^4+x^3+x^2+x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040536 8.77028 [(47*f(x)-1078)*(f(x)*x^4+23*x^4+x^3+x^2-f(x)+x+23) ogf] A040539 7.15342 [-(x^2+x+1)*(23*x^8-22*x^7+x^6+22*x^5-21*x^4+22*x^3+x^2-22*x+23)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040540 10.1585 [-(1+4*x+x^6+3*x^2+184*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(23*x^4+x^3+2*x^2+x+23) lgdogf] A040540 12.6973 [-(23*x^4+x^3+2*x^2+x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040540 8.34036 [(15488*f(x)-353625)*(f(x)*x^4+23*x^4+x^3+2*x^2-f(x)+x+23) ogf] A040543 10.3308 [-(23*x^6+x^5+4*x^4+3*x^3+4*x^2+x+23)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040543 6.31271 [-(1+8*x+8*x^9+5*x^6+9*x^8+16*x^7+9*x^2+16*x^3+5*x^4+276*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(23*x^6+x^5+4*x^4+3*x^3+4*x^2+x+23) lgdogf] A040544 10.1585 [-(1+8*x+x^6+3*x^2+184*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(23*x^4+x^3+4*x^2+x+23)/(1+x^2) lgdogf] A040544 12.6973 [-(23*x^4+x^3+4*x^2+x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040544 8.17997 [-(1225*f(x)-27404)*(f(x)*x^4+23*x^4+x^3+4*x^2-f(x)+x+23) ogf] A040546 12.6973 [-(23*x^4+x^3+6*x^2+x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040546 8.50717 [(1664*f(x)-35775)*(f(x)*x^4+23*x^4+x^3+6*x^2-f(x)+x+23) ogf] A040546 9.91660 [-(1+12*x+x^6+3*x^2+184*x^3+3*x^4+12*x^5)/(x-1)/(x+1)/(1+x^2)/(23*x^4+x^3+6*x^2+x+23) lgdogf] A040548 12.1271 [-(23*x^4+x^3+10*x^2+x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040548 8.3297 [(448*f(x)-8091)*(f(x)*x^4+23*x^4+x^3+10*x^2-f(x)+x+23) ogf] A040548 9.49848 [-(1+20*x+x^6+3*x^2+184*x^3+3*x^4+20*x^5)/(x-1)/(x+1)/(1+x^2)/(23*x^4+x^3+10*x^2+x+23) lgdogf] A040549 12.1271 [-(23*x^4+x^3+14*x^2+x+23)/(x-1)/(x+1)/(x^2+1) ogf] A040549 8.00622 [(10240*f(x)-114173)*(f(x)*x^4+23*x^4+x^3+14*x^2-f(x)+x+23) ogf] A040549 9.49848 [-(1+28*x+x^6+3*x^2+184*x^3+3*x^4+28*x^5)/(x-1)/(x+1)/(1+x^2)/(23*x^4+x^3+14*x^2+x+23) lgdogf] A040550 12.1271 [-(23*x^2+24*x+23)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040550 8.16475 [(2176*f(x)+55825)*(f(x)*x^4+23*x^4+x^3+22*x^2-f(x)+x+23) ogf] A040550 9.28012 [-(1+44*x+x^6+3*x^2+184*x^3+3*x^4+44*x^5)/(x-1)/(x+1)/(23*x^2+24*x+23)/(x^2-x+1)/(1+x^2) lgdogf] A040551 12.3081 [-(x^2+92*x+1)/(23*x^4+x^3-x-23) lgdogf] A040551 14.9935 [-f(x)*x^2-23*x^2+f(x)-x-23 ogf] A040551 16.1694 [-(23*x^2+x+23)/(x-1)/(x+1) ogf] A040551 20.7018 [-(1+92*x+x^2)/(x-1)/(x+1)/(23*x^2+x+23) lgdogf] A040551 9.58885 [{-a(n+3)+a(n+1),a(0)=23,a(1)=1,a(2)=46} ogf] A040552 10.7497 [{a(n+2)-a(n+1),a(0)=24,a(1)=48} ogf] A040552 16.9251 [-f(x)*x+f(x)-24*x-24 ogf] A040552 20.3969 [-24*(x+1)/(x-1) ogf] A040552 20.4976 [-1/48*x-1/2+1/48*(x^2+144*x+576)^(1/2) revogf] A040552 24.8588 [2/(-x^2+1) lgdogf] A040552 37.7338 [[2-x] ogf_with_Euler_transform] A040552 55.6363 [-2/(x-1)/(x+1) lgdogf] A040553 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040553 15.2977 [-24*(x^2+x+1)/(x-1)/(x+1) ogf] A040553 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040553 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040553 9.14346 [{-a(n+3)+a(n+1),a(0)=24,a(1)=24,a(2)=48} ogf] A040553 9.58412 [-(f(x)-18)*(f(x)*x^2+24*x^2-f(x)+24*x+24) ogf] A040554 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040554 14.205 [-f(x)*x^2-24*x^2+f(x)-16*x-24 ogf] A040554 15.2977 [-8*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040554 19.4727 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040554 9.14346 [{-a(n+3)+a(n+1),a(0)=24,a(1)=16,a(2)=48} ogf] A040555 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040555 14.205 [-f(x)*x^2-24*x^2+f(x)-12*x-24 ogf] A040555 15.2977 [-12*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040555 21.6363 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040555 9.14346 [{-a(n+3)+a(n+1),a(0)=24,a(1)=12,a(2)=48} ogf] A040557 12.6868 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040557 14.9935 [-f(x)*x^2-24*x^2+f(x)-8*x-24 ogf] A040557 16.1694 [-8*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040557 21.8208 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040557 9.58885 [{-a(n+3)+a(n+1),a(0)=24,a(1)=8,a(2)=48} ogf] A040558 7.38431 [-(24*x^10+6*x^9+x^8+7*x^7+5*x^6+4*x^5+5*x^4+7*x^3+x^2+6*x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040559 12.6868 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040559 14.9935 [-f(x)*x^2-24*x^2+f(x)-6*x-24 ogf] A040559 16.1694 [-6*(4*x^2+x+4)/(x-1)/(x+1) ogf] A040559 21.8208 [-(1+16*x+x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A040559 9.58885 [{-a(n+3)+a(n+1),a(0)=24,a(1)=6,a(2)=48} ogf] A040560 8.59288 [-(24*x^8+5*x^7+2*x^6+x^5+4*x^4+x^3+2*x^2+5*x+24)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040563 12.6868 [-(x^2+24*x+1)/(6*x^4+x^3-x-6) lgdogf] A040563 14.9935 [-f(x)*x^2-24*x^2+f(x)-4*x-24 ogf] A040563 16.1694 [-4*(6*x^2+x+6)/(x-1)/(x+1) ogf] A040563 21.8208 [-(1+24*x+x^2)/(x-1)/(x+1)/(6*x^2+x+6) lgdogf] A040563 9.58885 [{-a(n+3)+a(n+1),a(0)=24,a(1)=4,a(2)=48} ogf] A040565 10.3308 [-(24*x^6+3*x^5+2*x^4+4*x^3+2*x^2+3*x+24)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040566 7.38431 [-(24*x^10+3*x^9+4*x^8+x^7+x^6+7*x^5+x^4+x^3+4*x^2+3*x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040567 12.6868 [-(x^2+32*x+1)/(8*x^4+x^3-x-8) lgdogf] A040567 14.9935 [-f(x)*x^2-24*x^2+f(x)-3*x-24 ogf] A040567 16.1694 [-3*(8*x^2+x+8)/(x-1)/(x+1) ogf] A040567 21.8208 [-(1+32*x+x^2)/(x-1)/(x+1)/(8*x^2+x+8) lgdogf] A040567 9.58885 [{-a(n+3)+a(n+1),a(0)=24,a(1)=3,a(2)=48} ogf] A040569 7.15342 [-(24*x^10+2*x^9+x^8+2*x^7+5*x^6+24*x^5+5*x^4+2*x^3+x^2+2*x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040570 7.38431 [-(24*x^10+2*x^9+x^8+x^7+4*x^6+x^5+4*x^4+x^3+x^2+2*x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040573 7.11000 [-(24*x^10+2*x^9+4*x^8+x^7+15*x^6+2*x^5+15*x^4+x^3+4*x^2+2*x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040575 12.3081 [-(x^2+48*x+1)/(12*x^4+x^3-x-12) lgdogf] A040575 14.9935 [-f(x)*x^2-24*x^2+f(x)-2*x-24 ogf] A040575 16.1694 [-2*(12*x^2+x+12)/(x-1)/(x+1) ogf] A040575 20.7018 [-(1+48*x+x^2)/(x-1)/(x+1)/(12*x^2+x+12) lgdogf] A040575 9.58885 [{-a(n+3)+a(n+1),a(0)=24,a(1)=2,a(2)=48} ogf] A040577 10.3308 [-(24*x^6+x^5+x^4+6*x^3+x^2+x+24)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040577 6.50846 [-(1+2*x+2*x^9+5*x^6+18*x^8+4*x^7+18*x^2+4*x^3+5*x^4+288*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(24*x^6+x^5+x^4+6*x^3+x^2+x+24) lgdogf] A040578 7.15342 [-(24*x^10+x^9+x^8+3*x^7+x^6+23*x^5+x^4+3*x^3+x^2+x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040580 6.20961 [-(24*x^12+x^11+x^10+2*x^9+11*x^8+x^7+8*x^6+x^5+11*x^4+2*x^3+x^2+x+24)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040583 8.50717 [-(24*x^8+x^7+x^6+x^5+11*x^4+x^3+x^2+x+24)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040584 6.36640 [-(24*x^12+x^11+2*x^10+9*x^9+x^8+x^7+6*x^6+x^5+x^4+9*x^3+2*x^2+x+24)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040585 8.01243 [-(x+1)*(24*x^8-23*x^7+25*x^6-22*x^5+27*x^4-22*x^3+25*x^2-23*x+24)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040587 8.59288 [-(24*x^8+x^7+2*x^6+x^5+4*x^4+x^3+2*x^2+x+24)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040590 10.1585 [-(1+6*x+x^6+3*x^2+192*x^3+3*x^4+6*x^5)/(x-1)/(x+1)/(1+x^2)/(24*x^4+x^3+3*x^2+x+24) lgdogf] A040590 12.6973 [-(24*x^4+x^3+3*x^2+x+24)/(x-1)/(x+1)/(x^2+1) ogf] A040590 8.17997 [(103275*f(x)-2443777)*(f(x)*x^4+24*x^4+x^3+3*x^2-f(x)+x+24) ogf] A040591 7.38431 [-(24*x^10+x^9+4*x^8+x^7+x^6+6*x^5+x^4+x^3+4*x^2+x+24)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040593 10.3308 [-(24*x^6+x^5+6*x^4+8*x^3+6*x^2+x+24)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040595 12.6973 [-(24*x^4+x^3+8*x^2+x+24)/(x-1)/(x+1)/(x^2+1) ogf] A040595 8.34036 [(44800*f(x)-952911)*(f(x)*x^4+24*x^4+x^3+8*x^2-f(x)+x+24) ogf] A040595 9.91660 [-(1+16*x+x^6+3*x^2+192*x^3+3*x^4+16*x^5)/(x-1)/(x+1)/(1+x^2)/(24*x^4+x^3+8*x^2+x+24) lgdogf] A040596 6.11644 [-(1+22*x+22*x^9+5*x^6+6*x^8+44*x^7+6*x^2+44*x^3+5*x^4+288*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(24*x^4+x^3-13*x^2+x+24)/(x^2-x+1)/(x^2+x+1) lgdogf] A040596 9.70166 [-(x^2+1)*(24*x^4+x^3-13*x^2+x+24)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040598 12.1271 [-(x^2-x+1)*(24*x^2+25*x+24)/(x-1)/(x+1)/(x^2+1) ogf] A040598 7.92923 [(44375*f(x)+1203843)*(f(x)*x^4+24*x^4+x^3+23*x^2-f(x)+x+24) ogf] A040598 9.28012 [-(1+46*x+x^6+3*x^2+192*x^3+3*x^4+46*x^5)/(x-1)/(x+1)/(1+x^2)/(24*x^2+25*x+24)/(x^2-x+1) lgdogf] A040599 12.3081 [-(x^2+96*x+1)/(24*x^4+x^3-x-24) lgdogf] A040599 14.9935 [-f(x)*x^2-24*x^2+f(x)-x-24 ogf] A040599 16.1694 [-(24*x^2+x+24)/(x-1)/(x+1) ogf] A040599 20.7018 [-(1+96*x+x^2)/(x-1)/(x+1)/(24*x^2+x+24) lgdogf] A040599 9.58885 [{-a(n+3)+a(n+1),a(0)=24,a(1)=1,a(2)=48} ogf] A040600 10.7497 [{a(n+2)-a(n+1),a(0)=25,a(1)=50} ogf] A040600 16.9251 [-f(x)*x+f(x)-25*x-25 ogf] A040600 20.3969 [-25*(x+1)/(x-1) ogf] A040600 20.4976 [-1/50*x-1/2+1/50*(x^2+150*x+625)^(1/2) revogf] A040600 24.8588 [2/(-x^2+1) lgdogf] A040600 37.7338 [[2-x] ogf_with_Euler_transform] A040600 55.6363 [-2/(x-1)/(x+1) lgdogf] A040601 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040601 15.2977 [-25*(x^2+x+1)/(x-1)/(x+1) ogf] A040601 22.9091 [-(1+4*x+x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A040601 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040601 9.14346 [{-a(n+3)+a(n+1),a(0)=25,a(1)=25,a(2)=50} ogf] A040601 9.58412 [-(4*f(x)-75)*(f(x)*x^2+25*x^2-f(x)+25*x+25) ogf] A040603 10.6084 [-(x+1)*(25*x^4-13*x^3+14*x^2-13*x+25)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040603 6.83536 [-(12+2*x+3*x^6+12*x^8+2*x^7+3*x^2+48*x^3+250*x^4+48*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(25*x^4-13*x^3+14*x^2-13*x+25) lgdogf] A040604 12.2382 [-(2*x^2+20*x+2)/(5*x^4+2*x^3-2*x-5) lgdogf] A040604 14.205 [-f(x)*x^2-25*x^2+f(x)-10*x-25 ogf] A040604 15.2977 [-5*(5*x^2+2*x+5)/(x-1)/(x+1) ogf] A040604 18.9978 [-2*(1+10*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A040604 9.14346 [{-a(n+3)+a(n+1),a(0)=25,a(1)=10,a(2)=50} ogf] A040606 12.6973 [-(25*x^4+7*x^3+6*x^2+7*x+25)/(x-1)/(x+1)/(x^2+1) ogf] A040606 8.42294 [(7744*f(x)-176925)*(f(x)*x^4+25*x^4+7*x^3+6*x^2-f(x)+7*x+25) ogf] A040606 9.05428 [-(7+12*x+7*x^6+21*x^2+200*x^3+21*x^4+12*x^5)/(x-1)/(x+1)/(1+x^2)/(25*x^4+7*x^3+6*x^2+7*x+25) lgdogf] A040609 12.6868 [-(x^2+20*x+1)/(5*x^4+x^3-x-5) lgdogf] A040609 14.9935 [-f(x)*x^2-25*x^2+f(x)-5*x-25 ogf] A040609 16.1694 [-5*(5*x^2+x+5)/(x-1)/(x+1) ogf] A040609 21.8208 [-(1+20*x+x^2)/(x-1)/(x+1)/(5*x^2+x+5) lgdogf] A040609 9.58885 [{-a(n+3)+a(n+1),a(0)=25,a(1)=5,a(2)=50} ogf] A040610 6.30482 [-(25*x^12+4*x^11+x^10+x^9+3*x^8+3*x^7+12*x^6+3*x^5+3*x^4+x^3+x^2+4*x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040612 8.59288 [-(25*x^8+3*x^7+x^6+6*x^5+2*x^4+6*x^3+x^2+3*x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040613 4.97347 [-(25*x^16+3*x^15+x^14+x^13+2*x^12+4*x^11+4*x^10+x^9+4*x^8+x^7+4*x^6+4*x^5+2*x^4+x^3+x^2+3*x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040614 6.30482 [-(25*x^12+3*x^11+2*x^10+x^9+4*x^8+x^7+11*x^6+x^5+4*x^4+x^3+2*x^2+3*x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040616 10.0445 [-(25*x^6+2*x^5+x^4+24*x^3+x^2+2*x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040616 6.25876 [-2*(1+x+x^9+5*x^6+36*x^8+2*x^7+36*x^2+2*x^3+5*x^4+150*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(25*x^6+2*x^5+x^4+24*x^3+x^2+2*x+25) lgdogf] A040618 7.38431 [-(25*x^10+2*x^9+x^8+x^7+x^6+6*x^5+x^4+x^3+x^2+2*x+25)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040619 6.93443 [-(25*x^10+2*x^9+x^8+x^7+12*x^6+10*x^5+12*x^4+x^3+x^2+2*x+25)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040620 12.6973 [-(25*x^4+2*x^3+2*x^2+2*x+25)/(x-1)/(x+1)/(x^2+1) ogf] A040620 8.86163 [(13*f(x)-322)*(f(x)*x^4+25*x^4+2*x^3+2*x^2-f(x)+2*x+25) ogf] A040620 9.46584 [-2*(1+2*x+x^6+3*x^2+100*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(25*x^4+2*x^3+2*x^2+2*x+25) lgdogf] A040621 4.94590 [-(25*x^16+2*x^15+3*x^14+2*x^13+2*x^12+x^11+x^10+4*x^9+25*x^8+4*x^7+x^6+x^5+2*x^4+2*x^3+3*x^2+2*x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040622 10.3308 [-(25*x^6+2*x^5+5*x^4+6*x^3+5*x^2+2*x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040624 12.1271 [-(2*x^2+100*x+2)/(25*x^4+2*x^3-2*x-25) lgdogf] A040624 14.9935 [-f(x)*x^2-25*x^2+f(x)-2*x-25 ogf] A040624 16.1694 [-(25*x^2+2*x+25)/(x-1)/(x+1) ogf] A040624 18.7761 [-2*(1+50*x+x^2)/(x-1)/(x+1)/(25*x^2+2*x+25) lgdogf] A040624 9.58885 [{-a(n+3)+a(n+1),a(0)=25,a(1)=2,a(2)=50} ogf] A040625 10.0445 [-(25*x^6+x^5+x^4+16*x^3+x^2+x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040625 6.35505 [-(1+2*x+2*x^9+5*x^6+48*x^8+4*x^7+48*x^2+4*x^3+5*x^4+300*x^5+x^10)/(x-1)/(x+1)/(25*x^6+x^5+x^4+16*x^3+x^2+x+25)/(x^2-x+1)/(x^2+x+1) lgdogf] A040628 4.94590 [-(25*x^16+x^15+x^14+2*x^13+x^12+9*x^11+x^10+x^9+16*x^8+x^7+x^6+9*x^5+x^4+2*x^3+x^2+x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040629 4.94590 [-(25*x^16+x^15+x^14+2*x^13+5*x^12+3*x^11+2*x^10+8*x^9+10*x^8+8*x^7+2*x^6+3*x^5+5*x^4+2*x^3+x^2+x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040630 7.38431 [-(25*x^10+x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+x+25)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040632 8.59288 [-(25*x^8+x^7+x^6+x^5+6*x^4+x^3+x^2+x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040633 10.0445 [-(25*x^6+x^5+2*x^4+25*x^3+2*x^2+x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040633 6.16535 [-(1+4*x+4*x^9+5*x^6+75*x^8+8*x^7+75*x^2+8*x^3+5*x^4+300*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(25*x^6+x^5+2*x^4+25*x^3+2*x^2+x+25) lgdogf] A040634 10.3308 [-(25*x^6+x^5+2*x^4+4*x^3+2*x^2+x+25)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040634 6.31271 [-(1+4*x+4*x^9+5*x^6+12*x^8+8*x^7+12*x^2+8*x^3+5*x^4+300*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(25*x^6+x^5+2*x^4+4*x^3+2*x^2+x+25) lgdogf] A040637 10.1585 [-(1+4*x+x^6+3*x^2+200*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(25*x^4+x^3+2*x^2+x+25) lgdogf] A040637 12.6973 [-(25*x^4+x^3+2*x^2+x+25)/(x-1)/(x+1)/(x^2+1) ogf] A040637 8.42294 [(6656*f(x)-165375)*(f(x)*x^4+25*x^4+x^3+2*x^2-f(x)+x+25) ogf] A040639 7.38431 [-(25*x^10+x^9+3*x^8+x^7+2*x^6+2*x^5+2*x^4+x^3+3*x^2+x+25)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040640 4.97347 [-(25*x^16+x^15+4*x^14+5*x^13+x^12+x^11+6*x^10+x^9+4*x^8+x^7+6*x^6+x^5+x^4+5*x^3+4*x^2+x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040642 8.50717 [-(25*x^8+x^7+5*x^6+2*x^5+12*x^4+2*x^3+5*x^2+x+25)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040645 7.38431 [-(25*x^10+x^9+9*x^8+2*x^7+x^6+x^5+x^4+2*x^3+9*x^2+x+25)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040646 12.1271 [-(25*x^4+x^3+11*x^2+x+25)/(x-1)/(x+1)/(x^2+1) ogf] A040646 8.00622 [(10309*f(x)-200718)*(f(x)*x^4+25*x^4+x^3+11*x^2-f(x)+x+25) ogf] A040646 9.49848 [-(1+22*x+x^6+3*x^2+200*x^3+3*x^4+22*x^5)/(x-1)/(x+1)/(1+x^2)/(25*x^4+x^3+11*x^2+x+25) lgdogf] A040648 12.1271 [-(25*x^2+26*x+25)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040648 8.08471 [(6253*f(x)+178866)*(f(x)*x^4+25*x^4+x^3+24*x^2-f(x)+x+25) ogf] A040648 9.28012 [-(1+48*x+x^6+3*x^2+200*x^3+3*x^4+48*x^5)/(x-1)/(x+1)/(1+x^2)/(25*x^2+26*x+25)/(x^2-x+1) lgdogf] A040649 12.1271 [-(x^2+100*x+1)/(25*x^4+x^3-x-25) lgdogf] A040649 14.9935 [-f(x)*x^2-25*x^2+f(x)-x-25 ogf] A040649 16.1694 [-(25*x^2+x+25)/(x-1)/(x+1) ogf] A040649 20.1843 [-(1+100*x+x^2)/(x-1)/(x+1)/(25*x^2+x+25) lgdogf] A040649 9.58885 [{-a(n+3)+a(n+1),a(0)=25,a(1)=1,a(2)=50} ogf] A040650 10.7497 [{a(n+2)-a(n+1),a(0)=26,a(1)=52} ogf] A040650 16.9251 [-f(x)*x+f(x)-26*x-26 ogf] A040650 20.3969 [-26*(x+1)/(x-1) ogf] A040650 20.4976 [-1/52*x-1/2+1/52*(x^2+156*x+676)^(1/2) revogf] A040650 24.8588 [2/(-x^2+1) lgdogf] A040650 37.7338 [[2-x] ogf_with_Euler_transform] A040650 55.6363 [-2/(x-1)/(x+1) lgdogf] A040651 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040651 15.2977 [-26*(x^2+x+1)/(x-1)/(x+1) ogf] A040651 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040651 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040651 9.14346 [{-a(n+3)+a(n+1),a(0)=26,a(1)=26,a(2)=52} ogf] A040651 9.47002 [-(5*f(x)-117)*(f(x)*x^2+26*x^2-f(x)+26*x+26) ogf] A040653 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040653 14.205 [-f(x)*x^2-26*x^2+f(x)-13*x-26 ogf] A040653 15.2977 [-13*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040653 21.6363 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040653 9.14346 [{-a(n+3)+a(n+1),a(0)=26,a(1)=13,a(2)=52} ogf] A040655 7.38431 [-(26*x^10+8*x^9+x^8+2*x^7+5*x^6+2*x^5+5*x^4+2*x^3+x^2+8*x+26)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040657 8.50717 [-(26*x^8+6*x^7+x^6+x^5+12*x^4+x^3+x^2+6*x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040660 7.15342 [-(26*x^10+4*x^9+x^8+2*x^7+x^6+16*x^5+x^4+2*x^3+x^2+4*x+26)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040661 6.36640 [-(26*x^12+4*x^11+2*x^10+x^9+5*x^8+7*x^7+3*x^6+7*x^5+5*x^4+x^3+2*x^2+4*x+26)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040662 12.3081 [-(2*x^2+52*x+2)/(13*x^4+2*x^3-2*x-13) lgdogf] A040662 14.9935 [-f(x)*x^2-26*x^2+f(x)-4*x-26 ogf] A040662 16.1694 [-2*(13*x^2+2*x+13)/(x-1)/(x+1) ogf] A040662 18.7761 [-2*(1+26*x+x^2)/(x-1)/(x+1)/(13*x^2+2*x+13) lgdogf] A040662 9.58885 [{-a(n+3)+a(n+1),a(0)=26,a(1)=4,a(2)=52} ogf] A040663 10.3308 [-(26*x^6+3*x^5+x^4+2*x^3+x^2+3*x+26)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040666 8.26302 [-(26*x^8+3*x^7+12*x^6+x^5+4*x^4+x^3+12*x^2+3*x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040668 8.50717 [-(26*x^8+2*x^7+x^6+3*x^5+10*x^4+3*x^3+x^2+2*x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040669 8.59288 [-(26*x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+2*x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040670 12.9087 [-(1+2*x+78*x^2+2*x^3+x^4)/(x-1)/(x+1)/(x^2+x+1)/(13*x^2-12*x+13) lgdogf] A040670 14.3006 [-2*(x+1)*(13*x^2-12*x+13)/(x-1)/(x^2+x+1) ogf] A040670 8.60953 [{a(n+4)-a(n+1),a(0)=26,a(1)=2,a(2)=2,a(3)=52} ogf] A040670 9.07241 [-(53*f(x)-1372)*(f(x)*x^3+26*x^3+2*x^2-f(x)+2*x+26) ogf] A040671 8.01243 [-(x+1)*(26*x^8-24*x^7+26*x^6-25*x^5+26*x^4-25*x^3+26*x^2-24*x+26)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040673 4.94590 [-(26*x^16+2*x^15+5*x^14+2*x^13+x^12+x^11+x^10+x^9+12*x^8+x^7+x^6+x^5+x^4+2*x^3+5*x^2+2*x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040674 10.5528 [-2*(x+1)*(13*x^4-12*x^3+17*x^2-12*x+13)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040674 6.91705 [-(1+10*x+10*x^7+15*x^6+4*x^5+15*x^2+4*x^3+130*x^4+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(13*x^4-12*x^3+17*x^2-12*x+13) lgdogf] A040675 12.3081 [-(x^2+52*x+1)/(13*x^4+x^3-x-13) lgdogf] A040675 14.9935 [-f(x)*x^2-26*x^2+f(x)-2*x-26 ogf] A040675 16.1694 [-2*(13*x^2+x+13)/(x-1)/(x+1) ogf] A040675 20.7018 [-(1+52*x+x^2)/(x-1)/(x+1)/(13*x^2+x+13) lgdogf] A040675 9.58885 [{-a(n+3)+a(n+1),a(0)=26,a(1)=2,a(2)=52} ogf] A040676 7.01635 [-(26*x^10+x^9+x^8+17*x^7+5*x^6+x^5+5*x^4+17*x^3+x^2+x+26)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040677 8.50717 [-(26*x^8+x^7+x^6+7*x^5+13*x^4+7*x^3+x^2+x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040678 7.15342 [-(26*x^10+x^9+x^8+4*x^7+3*x^6+10*x^5+3*x^4+4*x^3+x^2+x+26)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040679 8.50717 [-(x^2-x+1)*(26*x^6+27*x^5+2*x^4-22*x^3+2*x^2+27*x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040680 8.59288 [-(26*x^8+x^7+x^6+2*x^5+3*x^4+2*x^3+x^2+x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040681 6.36640 [-(26*x^12+x^11+x^10+x^9+x^8+4*x^7+4*x^6+4*x^5+x^4+x^3+x^2+x+26)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040683 8.59288 [-(26*x^8+x^7+x^6+x^5+4*x^4+x^3+x^2+x+26)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040684 10.4124 [-(1+2*x+x^6+3*x^2+208*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(26*x^4+x^3+x^2+x+26) lgdogf] A040684 12.6973 [-(26*x^4+x^3+x^2+x+26)/(x-1)/(x+1)/(x^2+1) ogf] A040684 8.77028 [(53*f(x)-1375)*(f(x)*x^4+26*x^4+x^3+x^2-f(x)+x+26) ogf] A040685 10.3308 [-(26*x^6+x^5+2*x^4+6*x^3+2*x^2+x+26)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040685 6.31271 [-(1+4*x+4*x^9+5*x^6+18*x^8+8*x^7+18*x^2+8*x^3+5*x^4+312*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(26*x^6+x^5+2*x^4+6*x^3+2*x^2+x+26) lgdogf] A040687 7.38431 [-(26*x^10+x^9+2*x^8+x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+26)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040688 7.38431 [-(26*x^10+x^9+2*x^8+x^7+5*x^6+5*x^5+5*x^4+x^3+2*x^2+x+26)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040690 6.14586 [-(26*x^12+x^11+3*x^10+2*x^9+12*x^8+x^7+16*x^6+x^5+12*x^4+2*x^3+3*x^2+x+26)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040693 10.1585 [-(1+8*x+x^6+3*x^2+208*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(26*x^4+x^3+4*x^2+x+26) lgdogf] A040693 12.6973 [-(26*x^4+x^3+4*x^2+x+26)/(x-1)/(x+1)/(x^2+1) ogf] A040693 8.10207 [-(7168*f(x)-182439)*(f(x)*x^4+26*x^4+x^3+4*x^2-f(x)+x+26) ogf] A040696 12.6973 [-(26*x^4+x^3+7*x^2+x+26)/(x-1)/(x+1)/(x^2+1) ogf] A040696 8.34036 [(13275*f(x)-321043)*(f(x)*x^4+26*x^4+x^3+7*x^2-f(x)+x+26) ogf] A040696 9.91660 [-(1+14*x+x^6+3*x^2+208*x^3+3*x^4+14*x^5)/(x-1)/(x+1)/(1+x^2)/(26*x^4+x^3+7*x^2+x+26) lgdogf] A040698 6.11644 [-(1+24*x+24*x^9+5*x^6+6*x^8+48*x^7+6*x^2+48*x^3+5*x^4+312*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(26*x^4+x^3-14*x^2+x+26) lgdogf] A040698 9.70166 [-(x^2+1)*(26*x^4+x^3-14*x^2+x+26)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040699 12.1271 [-(26*x^4+x^3+16*x^2+x+26)/(x-1)/(x+1)/(x^2+1) ogf] A040699 8.16475 [(4896*f(x)-59675)*(f(x)*x^4+26*x^4+x^3+16*x^2-f(x)+x+26) ogf] A040699 9.49848 [-(1+32*x+x^6+3*x^2+208*x^3+3*x^4+32*x^5)/(x-1)/(x+1)/(1+x^2)/(26*x^4+x^3+16*x^2+x+26) lgdogf] A040700 12.1271 [-(26*x^2+27*x+26)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040700 8.08471 [(6237*f(x)+187625)*(f(x)*x^4+26*x^4+x^3+25*x^2-f(x)+x+26) ogf] A040700 9.28012 [-(1+50*x+x^6+3*x^2+208*x^3+3*x^4+50*x^5)/(x-1)/(x+1)/(26*x^2+27*x+26)/(x^2-x+1)/(1+x^2) lgdogf] A040701 12.1271 [-(x^2+104*x+1)/(26*x^4+x^3-x-26) lgdogf] A040701 14.9935 [-f(x)*x^2-26*x^2+f(x)-x-26 ogf] A040701 16.1694 [-(26*x^2+x+26)/(x-1)/(x+1) ogf] A040701 20.1843 [-(1+104*x+x^2)/(x-1)/(x+1)/(26*x^2+x+26) lgdogf] A040701 9.58885 [{-a(n+3)+a(n+1),a(0)=26,a(1)=1,a(2)=52} ogf] A040702 10.7497 [{a(n+2)-a(n+1),a(0)=27,a(1)=54} ogf] A040702 16.9251 [-f(x)*x+f(x)-27*x-27 ogf] A040702 20.3969 [-27*(x+1)/(x-1) ogf] A040702 20.4976 [-1/2-1/54*x+1/54*(729+162*x+x^2)^(1/2) revogf] A040702 24.8588 [2/(-x^2+1) lgdogf] A040702 37.7338 [[2-x] ogf_with_Euler_transform] A040702 55.6363 [-2/(x-1)/(x+1) lgdogf] A040703 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040703 15.2977 [-27*(x^2+x+1)/(x-1)/(x+1) ogf] A040703 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040703 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040703 9.14346 [{-a(n+3)+a(n+1),a(0)=27,a(1)=27,a(2)=54} ogf] A040703 9.58412 [-(4*f(x)-81)*(f(x)*x^2+27*x^2-f(x)+27*x+27) ogf] A040704 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040704 14.205 [-f(x)*x^2-27*x^2+f(x)-18*x-27 ogf] A040704 15.2977 [-9*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040704 19.4727 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040704 9.14346 [{-a(n+3)+a(n+1),a(0)=27,a(1)=18,a(2)=54} ogf] A040705 10.6084 [-(x+1)*(27*x^4-14*x^3+15*x^2-14*x+27)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040705 6.83536 [-(13+2*x+3*x^6+13*x^8+2*x^7+3*x^2+52*x^3+270*x^4+52*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(27*x^4-14*x^3+15*x^2-14*x+27) lgdogf] A040706 6.03323 [-(27*x^12+10*x^11+x^10+4*x^9+x^8+x^7+26*x^6+x^5+x^4+4*x^3+x^2+10*x+27)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040707 12.6868 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040707 14.9935 [-f(x)*x^2-27*x^2+f(x)-9*x-27 ogf] A040707 16.1694 [-9*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040707 21.8208 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040707 9.58885 [{-a(n+3)+a(n+1),a(0)=27,a(1)=9,a(2)=54} ogf] A040708 8.59288 [-(27*x^8+7*x^7+x^6+2*x^5+x^4+2*x^3+x^2+7*x+27)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040710 12.6868 [-(2*x^2+36*x+2)/(9*x^4+2*x^3-2*x-9) lgdogf] A040710 14.9935 [-f(x)*x^2-27*x^2+f(x)-6*x-27 ogf] A040710 16.1694 [-3*(9*x^2+2*x+9)/(x-1)/(x+1) ogf] A040710 19.6920 [-2*(1+18*x+x^2)/(x-1)/(x+1)/(9*x^2+2*x+9) lgdogf] A040710 9.58885 [{-a(n+3)+a(n+1),a(0)=27,a(1)=6,a(2)=54} ogf] A040712 10.0445 [-(27*x^6+4*x^5+x^4+12*x^3+x^2+4*x+27)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040713 6.93443 [-(27*x^10+4*x^9+x^8+x^7+13*x^6+18*x^5+13*x^4+x^3+x^2+4*x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040715 8.50717 [-(x^2-x+1)*(27*x^6+30*x^5+4*x^4-19*x^3+4*x^2+30*x+27)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040716 7.38431 [-(27*x^10+3*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+3*x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040719 12.6868 [-(x^2+36*x+1)/(9*x^4+x^3-x-9) lgdogf] A040719 16.1694 [-3*(9*x^2+x+9)/(x-1)/(x+1) ogf] A040719 21.8208 [-(1+36*x+x^2)/(x-1)/(x+1)/(9*x^2+x+9) lgdogf] A040719 9.58885 [{-a(n+3)+a(n+1),a(0)=27,a(1)=3,a(2)=54} ogf] A040719 9.81715 [(1950*f(x)-52649)*(f(x)*x^2+27*x^2-f(x)+3*x+27) ogf] A040720 6.30482 [-(27*x^12+2*x^11+x^10+6*x^9+5*x^8+x^7+12*x^6+x^5+5*x^4+6*x^3+x^2+2*x+27)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040722 4.97347 [-(27*x^16+2*x^15+x^14+x^13+2*x^12+3*x^11+x^10+x^9+8*x^8+x^7+x^6+3*x^5+2*x^4+x^3+x^2+2*x+27)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040724 8.59288 [-(27*x^8+2*x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+2*x+27)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040726 8.01243 [-(x+1)*(27*x^8-25*x^7+30*x^6-29*x^5+30*x^4-29*x^3+30*x^2-25*x+27)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040727 12.1271 [-(27*x^4+2*x^3+10*x^2+2*x+27)/(x-1)/(x+1)/(x^2+1) ogf] A040727 8.16475 [(1936*f(x)-44625)*(f(x)*x^4+27*x^4+2*x^3+10*x^2-f(x)+2*x+27) ogf] A040727 8.87220 [-2*(1+10*x+x^6+3*x^2+108*x^3+3*x^4+10*x^5)/(x-1)/(x+1)/(1+x^2)/(27*x^4+2*x^3+10*x^2+2*x+27) lgdogf] A040728 12.1271 [-(2*x^2+108*x+2)/(27*x^4+2*x^3-2*x-27) lgdogf] A040728 16.1694 [-(27*x^2+2*x+27)/(x-1)/(x+1) ogf] A040728 18.7761 [-2*(1+54*x+x^2)/(x-1)/(x+1)/(27*x^2+2*x+27) lgdogf] A040728 9.58885 [{-a(n+3)+a(n+1),a(0)=27,a(1)=2,a(2)=54} ogf] A040728 9.70165 [(9855*f(x)-266084)*(f(x)*x^2+27*x^2-f(x)+2*x+27) ogf] A040729 6.54123 [-(x+1)*(27*x^10-26*x^9+27*x^8-10*x^7+11*x^6-6*x^5+11*x^4-10*x^3+27*x^2-26*x+27)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040731 10.3308 [-(27*x^6+x^5+x^4+4*x^3+x^2+x+27)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040731 6.50846 [-(1+2*x+2*x^9+5*x^6+12*x^8+4*x^7+12*x^2+4*x^3+5*x^4+324*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(27*x^6+x^5+x^4+4*x^3+x^2+x+27) lgdogf] A040732 7.38431 [-(27*x^10+x^9+x^8+3*x^7+5*x^6+x^5+5*x^4+3*x^3+x^2+x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040733 9.32443 [-(x+1)*(27*x^6-26*x^5+27*x^4-25*x^3+27*x^2-26*x+27)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1) ogf] A040734 7.38431 [-(27*x^10+x^9+x^8+x^7+x^6+8*x^5+x^4+x^3+x^2+x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040737 7.11000 [-(27*x^10+x^9+x^8+x^7+13*x^6+6*x^5+13*x^4+x^3+x^2+x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040739 6.36640 [-(27*x^12+x^11+2*x^10+3*x^9+x^8+x^7+x^6+x^5+x^4+3*x^3+2*x^2+x+27)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040740 8.50717 [-(27*x^8+x^7+2*x^6+2*x^5+13*x^4+2*x^3+2*x^2+x+27)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040742 10.1585 [-(1+4*x+x^6+3*x^2+216*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(27*x^4+x^3+2*x^2+x+27) lgdogf] A040742 12.6973 [-(27*x^4+x^3+2*x^2+x+27)/(x-1)/(x+1)/(x^2+1) ogf] A040742 8.34036 [(10816*f(x)-290493)*(f(x)*x^4+27*x^4+x^3+2*x^2-f(x)+x+27) ogf] A040745 6.54123 [-(x+1)*(27*x^10-26*x^9+30*x^8-17*x^7+18*x^6-16*x^5+18*x^4-17*x^3+30*x^2-26*x+27)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040746 7.38431 [-(27*x^10+x^9+4*x^8+x^7+x^6+2*x^5+x^4+x^3+4*x^2+x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040747 6.36640 [-(27*x^12+x^11+5*x^10+4*x^9+x^8+8*x^7+2*x^6+8*x^5+x^4+4*x^3+5*x^2+x+27)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040748 12.6973 [-(27*x^4+x^3+5*x^2+x+27)/(x-1)/(x+1)/(x^2+1) ogf] A040748 7.87701 [-(141659*f(x)-3706482)*(f(x)*x^4+27*x^4+x^3+5*x^2-f(x)+x+27) ogf] A040748 9.91660 [-(1+10*x+x^6+3*x^2+216*x^3+3*x^4+10*x^5)/(x-1)/(x+1)/(27*x^4+x^3+5*x^2+x+27)/(1+x^2) lgdogf] A040749 12.6973 [-(27*x^4+x^3+6*x^2+x+27)/(x-1)/(x+1)/(x^2+1) ogf] A040749 7.95062 [-(69120*f(x)-1780919)*(f(x)*x^4+27*x^4+x^3+6*x^2-f(x)+x+27) ogf] A040749 9.91660 [-(1+12*x+x^6+3*x^2+216*x^3+3*x^4+12*x^5)/(x-1)/(x+1)/(1+x^2)/(27*x^4+x^3+6*x^2+x+27) lgdogf] A040751 6.89812 [-(27*x^10+x^9+10*x^8+5*x^7+2*x^6+27*x^5+2*x^4+5*x^3+10*x^2+x+27)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040752 12.1271 [-(27*x^4+x^3+12*x^2+x+27)/(x-1)/(x+1)/(x^2+1) ogf] A040752 8.00622 [(14553*f(x)-303824)*(f(x)*x^4+27*x^4+x^3+12*x^2-f(x)+x+27) ogf] A040752 9.49848 [-(1+24*x+x^6+3*x^2+216*x^3+3*x^4+24*x^5)/(x-1)/(x+1)/(1+x^2)/(27*x^4+x^3+12*x^2+x+27) lgdogf] A040754 12.1271 [-(27*x^2+28*x+27)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040754 8.00622 [(31360*f(x)+989781)*(f(x)*x^4+27*x^4+x^3+26*x^2-f(x)+x+27) ogf] A040754 9.28012 [-(1+52*x+x^6+3*x^2+216*x^3+3*x^4+52*x^5)/(x-1)/(x+1)/(1+x^2)/(27*x^2+28*x+27)/(x^2-x+1) lgdogf] A040755 12.1271 [-(x^2+108*x+1)/(27*x^4+x^3-x-27) lgdogf] A040755 14.9935 [-f(x)*x^2-27*x^2+f(x)-x-27 ogf] A040755 16.1694 [-(27*x^2+x+27)/(x-1)/(x+1) ogf] A040755 20.1843 [-(1+108*x+x^2)/(x-1)/(x+1)/(27*x^2+x+27) lgdogf] A040755 9.58885 [{-a(n+3)+a(n+1),a(0)=27,a(1)=1,a(2)=54} ogf] A040756 10.7497 [{a(n+2)-a(n+1),a(0)=28,a(1)=56} ogf] A040756 16.9251 [-f(x)*x+f(x)-28*x-28 ogf] A040756 20.3969 [-28*(x+1)/(x-1) ogf] A040756 20.4976 [-1/56*x-1/2+1/56*(x^2+168*x+784)^(1/2) revogf] A040756 24.8588 [2/(-x^2+1) lgdogf] A040756 37.7338 [[2-x] ogf_with_Euler_transform] A040756 55.6363 [-2/(x-1)/(x+1) lgdogf] A040757 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040757 15.2977 [-28*(x^2+x+1)/(x-1)/(x+1) ogf] A040757 22.9091 [-(x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040757 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040757 9.14346 [{-a(n+3)+a(n+1),a(0)=28,a(1)=28,a(2)=56} ogf] A040757 9.47002 [-(5*f(x)-126)*(f(x)*x^2+28*x^2-f(x)+28*x+28) ogf] A040759 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040759 14.205 [-f(x)*x^2-28*x^2+f(x)-14*x-28 ogf] A040759 15.2977 [-14*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040759 21.6363 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040759 9.14346 [{-a(n+3)+a(n+1),a(0)=28,a(1)=14,a(2)=56} ogf] A040762 12.6868 [-(2*x^2+28*x+2)/(7*x^4+2*x^3-2*x-7) lgdogf] A040762 14.9935 [-f(x)*x^2-28*x^2+f(x)-8*x-28 ogf] A040762 16.1694 [-4*(7*x^2+2*x+7)/(x-1)/(x+1) ogf] A040762 19.6920 [-2*(1+14*x+x^2)/(x-1)/(x+1)/(7*x^2+2*x+7) lgdogf] A040762 9.58885 [{-a(n+3)+a(n+1),a(0)=28,a(1)=8,a(2)=56} ogf] A040763 12.6868 [-(x^2+16*x+1)/(4*x^4+x^3-x-4) lgdogf] A040763 14.9935 [-f(x)*x^2-28*x^2+f(x)-7*x-28 ogf] A040763 16.1694 [-7*(4*x^2+x+4)/(x-1)/(x+1) ogf] A040763 21.8208 [-(1+16*x+x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A040763 9.58885 [{-a(n+3)+a(n+1),a(0)=28,a(1)=7,a(2)=56} ogf] A040764 12.6973 [-2*(14*x^4+3*x^3+2*x^2+3*x+14)/(x-1)/(x+1)/(x^2+1) ogf] A040764 8.5931 [(845*f(x)-22644)*(f(x)*x^4+28*x^4+6*x^3+4*x^2-f(x)+6*x+28) ogf] A040764 9.46584 [-(3+4*x+3*x^6+9*x^2+112*x^3+9*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(14*x^4+3*x^3+2*x^2+3*x+14) lgdogf] A040765 6.85686 [-(x+1)*(28*x^10-23*x^9+24*x^8-23*x^7+24*x^6-23*x^5+24*x^4-23*x^3+24*x^2-23*x+28)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040766 12.6973 [-(28*x^4+5*x^3+9*x^2+5*x+28)/(x-1)/(x+1)/(x^2+1) ogf] A040766 8.02563 [-(28717*f(x)-713625)*(f(x)*x^4+28*x^4+5*x^3+9*x^2-f(x)+5*x+28) ogf] A040766 9.05428 [-(5+18*x+5*x^6+15*x^2+224*x^3+15*x^4+18*x^5)/(x-1)/(x+1)/(1+x^2)/(28*x^4+5*x^3+9*x^2+5*x+28) lgdogf] A040768 6.54123 [-(x+1)*(28*x^10-24*x^9+27*x^8-14*x^7+15*x^6-11*x^5+15*x^4-14*x^3+27*x^2-24*x+28)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A040769 12.6868 [-(x^2+28*x+1)/(7*x^4+x^3-x-7) lgdogf] A040769 14.9935 [-f(x)*x^2-28*x^2+f(x)-4*x-28 ogf] A040769 16.1694 [-4*(7*x^2+x+7)/(x-1)/(x+1) ogf] A040769 21.8208 [-(1+28*x+x^2)/(x-1)/(x+1)/(7*x^2+x+7) lgdogf] A040769 9.58885 [{-a(n+3)+a(n+1),a(0)=28,a(1)=4,a(2)=56} ogf] A040770 12.6973 [-(28*x^4+3*x^3+x^2+3*x+28)/(x-1)/(x+1)/(x^2+1) ogf] A040770 8.25939 [(57475*f(x)-1594719)*(f(x)*x^4+28*x^4+3*x^3+x^2-f(x)+3*x+28) ogf] A040770 9.68598 [-(3+2*x+3*x^6+9*x^2+224*x^3+9*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(28*x^4+3*x^3+x^2+3*x+28) lgdogf] A040771 8.50717 [-(28*x^8+3*x^7+x^6+x^5+13*x^4+x^3+x^2+3*x+28)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040773 6.30482 [-(28*x^12+3*x^11+7*x^10+x^9+3*x^8+6*x^7+28*x^6+6*x^5+3*x^4+x^3+7*x^2+3*x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040774 10.0445 [-(28*x^6+2*x^5+x^4+27*x^3+x^2+2*x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040775 7.15342 [-(28*x^10+2*x^9+x^8+4*x^7+2*x^6+18*x^5+2*x^4+4*x^3+x^2+2*x+28)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040781 8.59288 [-(28*x^8+2*x^7+5*x^6+x^5+4*x^4+x^3+5*x^2+2*x+28)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040783 12.3081 [-(x^2+56*x+1)/(14*x^4+x^3-x-14) lgdogf] A040783 14.9935 [-f(x)*x^2-28*x^2+f(x)-2*x-28 ogf] A040783 16.1694 [-2*(14*x^2+x+14)/(x-1)/(x+1) ogf] A040783 20.7018 [-(1+56*x+x^2)/(x-1)/(x+1)/(14*x^2+x+14) lgdogf] A040783 9.58885 [{-a(n+3)+a(n+1),a(0)=28,a(1)=2,a(2)=56} ogf] A040784 10.0445 [-(28*x^6+x^5+x^4+18*x^3+x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040784 6.35505 [-(1+2*x+2*x^9+5*x^6+54*x^8+4*x^7+54*x^2+4*x^3+5*x^4+336*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(28*x^6+x^5+x^4+18*x^3+x^2+x+28) lgdogf] A040786 6.36640 [-(28*x^12+x^11+x^10+4*x^9+x^8+2*x^7+5*x^6+2*x^5+x^4+4*x^3+x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040787 8.59288 [-(28*x^8+x^7+x^6+3*x^5+3*x^4+3*x^3+x^2+x+28)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040788 10.3308 [-(28*x^4+x^3-27*x^2+x+28)*(x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040788 6.55931 [-(1+2*x+2*x^9+5*x^6+6*x^8+4*x^7+6*x^2+4*x^3+5*x^4+336*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(28*x^4+x^3-27*x^2+x+28) lgdogf] A040789 11.2547 [-(x+1)*(28*x^4-27*x^3+28*x^2-27*x+28)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040789 7.44444 [-(1+2*x+2*x^7+3*x^6+4*x^5+3*x^2+4*x^3+280*x^4+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(28*x^4-27*x^3+28*x^2-27*x+28) lgdogf] A040790 7.38431 [-(28*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+28)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040791 6.30482 [-(28*x^12+x^11+x^10+x^9+2*x^8+x^7+10*x^6+x^5+2*x^4+x^3+x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040793 10.0445 [-(28*x^6+x^5+2*x^4+28*x^3+2*x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040793 6.16535 [-(1+4*x+4*x^9+5*x^6+84*x^8+8*x^7+84*x^2+8*x^3+5*x^4+336*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(28*x^6+x^5+2*x^4+28*x^3+2*x^2+x+28) lgdogf] A040795 6.36640 [-(28*x^12+x^11+2*x^10+2*x^9+x^8+x^7+6*x^6+x^5+x^4+2*x^3+2*x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040798 7.15342 [-(28*x^10+x^9+3*x^8+7*x^7+x^6+27*x^5+x^4+7*x^3+3*x^2+x+28)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040799 10.3308 [-(x^2+1)*(28*x^4+x^3-25*x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040799 6.45839 [-(1+6*x+6*x^9+5*x^6+6*x^8+12*x^7+6*x^2+12*x^3+5*x^4+336*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(28*x^4+x^3-25*x^2+x+28) lgdogf] A040801 7.15342 [-(28*x^10+x^9+4*x^8+3*x^7+x^6+10*x^5+x^4+3*x^3+4*x^2+x+28)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040803 6.30482 [-(28*x^12+x^11+5*x^10+2*x^9+2*x^8+x^7+13*x^6+x^5+2*x^4+2*x^3+5*x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040807 7.01635 [-(28*x^10+x^9+10*x^8+x^7+x^6+2*x^5+x^4+x^3+10*x^2+x+28)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040808 6.11644 [-(1+26*x+26*x^9+5*x^6+6*x^8+52*x^7+6*x^2+52*x^3+5*x^4+336*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(28*x^4+x^3-15*x^2+x+28)/(1+x^2) lgdogf] A040808 9.70166 [-(x^2+1)*(28*x^4+x^3-15*x^2+x+28)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040810 12.1271 [-(28*x^2+29*x+28)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A040810 7.92923 [(69803*f(x)+2306475)*(f(x)*x^4+28*x^4+x^3+27*x^2-f(x)+x+28) ogf] A040810 9.28012 [-(1+54*x+x^6+3*x^2+224*x^3+3*x^4+54*x^5)/(x-1)/(x+1)/(1+x^2)/(28*x^2+29*x+28)/(x^2-x+1) lgdogf] A040811 12.1271 [-(x^2+112*x+1)/(28*x^4+x^3-x-28) lgdogf] A040811 14.9935 [-f(x)*x^2-28*x^2+f(x)-x-28 ogf] A040811 16.1694 [-(28*x^2+x+28)/(x-1)/(x+1) ogf] A040811 20.1843 [-(1+112*x+x^2)/(x-1)/(x+1)/(28*x^2+x+28) lgdogf] A040811 9.58885 [{-a(n+3)+a(n+1),a(0)=28,a(1)=1,a(2)=56} ogf] A040812 10.7497 [{a(n+2)-a(n+1),a(0)=29,a(1)=58} ogf] A040812 16.9251 [-f(x)*x+f(x)-29*x-29 ogf] A040812 20.3969 [-29*(x+1)/(x-1) ogf] A040812 20.4976 [-1/58*x-1/2+1/58*(x^2+174*x+841)^(1/2) revogf] A040812 24.8588 [2/(-x^2+1) lgdogf] A040812 37.7338 [[2-x] ogf_with_Euler_transform] A040812 55.6363 [-2/(x-1)/(x+1) lgdogf] A040813 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040813 15.2977 [-29*(x^2+x+1)/(x-1)/(x+1) ogf] A040813 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040813 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040813 9.14346 [{-a(n+3)+a(n+1),a(0)=29,a(1)=29,a(2)=58} ogf] A040813 9.58412 [-(4*f(x)-87)*(f(x)*x^2+29*x^2-f(x)+29*x+29) ogf] A040815 10.6084 [-(x+1)*(29*x^4-15*x^3+16*x^2-15*x+29)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040815 6.83536 [-(14+2*x+3*x^6+14*x^8+2*x^7+3*x^2+56*x^3+290*x^4+56*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(29*x^4-15*x^3+16*x^2-15*x+29) lgdogf] A040816 4.87921 [-(29*x^16+11*x^15+x^14+x^13+x^12+x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+11*x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040817 7.38431 [-(29*x^10+9*x^9+x^8+2*x^7+6*x^6+8*x^5+6*x^4+2*x^3+x^2+9*x+29)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040818 10.3308 [-(29*x^6+8*x^5+3*x^4+3*x^3+3*x^2+8*x+29)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040820 12.6973 [-(29*x^4+6*x^3+2*x^2+6*x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040820 8.68078 [(245*f(x)-6876)*(f(x)*x^4+29*x^4+6*x^3+2*x^2-f(x)+6*x+29) ogf] A040820 9.25549 [-2*(3+2*x+3*x^6+9*x^2+116*x^3+9*x^4+2*x^5)/(x-1)/(x+1)/(29*x^4+6*x^3+2*x^2+6*x+29)/(1+x^2) lgdogf] A040821 6.36640 [-(29*x^12+5*x^11+x^10+4*x^9+2*x^8+7*x^7+x^6+7*x^5+2*x^4+4*x^3+x^2+5*x+29)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040822 8.59288 [-(29*x^8+5*x^7+3*x^6+2*x^5+4*x^4+2*x^3+3*x^2+5*x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040824 8.15265 [-(29*x^8+4*x^7+2*x^6+11*x^5+4*x^4+11*x^3+2*x^2+4*x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040825 12.6973 [-(29*x^4+4*x^3+6*x^2+4*x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040825 8.50717 [(1352*f(x)-37359)*(f(x)*x^4+29*x^4+4*x^3+6*x^2-f(x)+4*x+29) ogf] A040825 9.57465 [-4*(1+3*x+x^6+3*x^2+58*x^3+3*x^4+3*x^5)/(x-1)/(x+1)/(29*x^4+4*x^3+6*x^2+4*x+29)/(1+x^2) lgdogf] A040828 12.6973 [-(29*x^4+3*x^3+2*x^2+3*x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040828 8.34036 [(31360*f(x)-899613)*(f(x)*x^4+29*x^4+3*x^3+2*x^2-f(x)+3*x+29) ogf] A040828 9.46584 [-(3+4*x+3*x^6+9*x^2+232*x^3+9*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+3*x^3+2*x^2+3*x+29) lgdogf] A040830 12.1271 [-(29*x^4+3*x^3+14*x^2+3*x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040830 8.08471 [-(64*f(x)-1339)*(f(x)*x^4+29*x^4+3*x^3+14*x^2-f(x)+3*x+29) ogf] A040830 8.87220 [-(3+28*x+3*x^6+9*x^2+232*x^3+9*x^4+28*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+3*x^3+14*x^2+3*x+29) lgdogf] A040831 4.79623 [-(29*x^16+2*x^15+x^14+11*x^13+14*x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+x^6+x^5+14*x^4+11*x^3+x^2+2*x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040834 6.30482 [-(29*x^12+2*x^11+x^10+x^9+5*x^8+x^7+13*x^6+x^5+5*x^4+x^3+x^2+2*x+29)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040836 8.50717 [-(x^2+x+1)*(29*x^6-27*x^5+28*x^3-27*x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040837 10.0445 [-(29*x^6+2*x^5+4*x^4+29*x^3+4*x^2+2*x+29)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040838 8.15265 [-(29*x^8+2*x^7+6*x^6+19*x^5+2*x^4+19*x^3+6*x^2+2*x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040840 12.1271 [-(2*x^2+116*x+2)/(29*x^4+2*x^3-2*x-29) lgdogf] A040840 14.9935 [-f(x)*x^2-29*x^2+f(x)-2*x-29 ogf] A040840 16.1694 [-(29*x^2+2*x+29)/(x-1)/(x+1) ogf] A040840 18.7761 [-2*(1+58*x+x^2)/(x-1)/(x+1)/(29*x^2+2*x+29) lgdogf] A040840 9.58885 [{-a(n+3)+a(n+1),a(0)=29,a(1)=2,a(2)=58} ogf] A040842 7.15342 [-(29*x^10+x^9+x^8+7*x^7+x^6+13*x^5+x^4+7*x^3+x^2+x+29)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040844 8.59288 [-(29*x^8+x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040845 4.97347 [-(29*x^16+x^15+x^14+2*x^13+x^12+x^11+x^10+x^9+3*x^8+x^7+x^6+x^5+x^4+2*x^3+x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040846 8.50717 [-(29*x^8+x^7+x^6+2*x^5+14*x^4+2*x^3+x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040847 5.24978 [-(x+1)*(29*x^12+x^11+x^10-28*x^9+x^7+32*x^6+x^5-28*x^3+x^2+x+29)*(x^2-x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A040848 4.94590 [-(29*x^16+x^15+x^14+x^13+2*x^12+2*x^11+4*x^10+x^9+28*x^8+x^7+4*x^6+2*x^5+2*x^4+x^3+x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040850 10.4124 [-(1+2*x+x^6+3*x^2+232*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+x^2+x+29) lgdogf] A040850 12.6973 [-(29*x^4+x^3+x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040850 8.77028 [(59*f(x)-1708)*(f(x)*x^4+29*x^4+x^3+x^2-f(x)+x+29) ogf] A040852 8.59288 [-(29*x^8+x^7+2*x^6+3*x^5+6*x^4+3*x^3+2*x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040854 8.59288 [-(29*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040855 10.1585 [-(1+4*x+x^6+3*x^2+232*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+2*x^2+x+29) lgdogf] A040855 12.6973 [-(29*x^4+x^3+2*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040855 8.34036 [(31360*f(x)-905293)*(f(x)*x^4+29*x^4+x^3+2*x^2-f(x)+x+29) ogf] A040857 6.30482 [-(29*x^12+x^11+3*x^10+x^9+x^8+2*x^7+29*x^6+2*x^5+x^4+x^3+3*x^2+x+29)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040858 10.1585 [-(1+6*x+x^6+3*x^2+232*x^3+3*x^4+6*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+3*x^2+x+29) lgdogf] A040858 12.6973 [-(29*x^4+x^3+3*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040858 7.87701 [-(184525*f(x)-5300442)*(f(x)*x^4+29*x^4+x^3+3*x^2-f(x)+x+29) ogf] A040860 10.1585 [-(1+8*x+x^6+3*x^2+232*x^3+3*x^4+8*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+4*x^2+x+29) lgdogf] A040860 12.6973 [-(29*x^4+x^3+4*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040860 8.17997 [-(2511*f(x)-71600)*(f(x)*x^4+29*x^4+x^3+4*x^2-f(x)+x+29) ogf] A040861 8.59288 [-(29*x^8+x^7+5*x^6+x^5+x^4+x^3+5*x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040862 8.50717 [-(29*x^8+x^7+6*x^6+2*x^5+14*x^4+2*x^3+6*x^2+x+29)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040864 12.6973 [-(29*x^4+x^3+8*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040864 8.42294 [(6875*f(x)-184688)*(f(x)*x^4+29*x^4+x^3+8*x^2-f(x)+x+29) ogf] A040864 9.91660 [-(1+16*x+x^6+3*x^2+232*x^3+3*x^4+16*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+8*x^2+x+29) lgdogf] A040865 12.1271 [-(29*x^4+x^3+10*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040865 8.08471 [(8704*f(x)-221375)*(f(x)*x^4+29*x^4+x^3+10*x^2-f(x)+x+29) ogf] A040865 9.49848 [-(1+20*x+x^6+3*x^2+232*x^3+3*x^4+20*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+10*x^2+x+29) lgdogf] A040866 12.1271 [-(29*x^4+x^3+13*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040866 8.00622 [(15975*f(x)-355948)*(f(x)*x^4+29*x^4+x^3+13*x^2-f(x)+x+29) ogf] A040866 9.49848 [-(1+26*x+x^6+3*x^2+232*x^3+3*x^4+26*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+13*x^2+x+29) lgdogf] A040867 12.1271 [-(29*x^4+x^3+18*x^2+x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040867 8.00622 [(60800*f(x)-803751)*(f(x)*x^4+29*x^4+x^3+18*x^2-f(x)+x+29) ogf] A040867 9.49848 [-(1+36*x+x^6+3*x^2+232*x^3+3*x^4+36*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^4+x^3+18*x^2+x+29) lgdogf] A040868 12.1271 [-(x^2-x+1)*(29*x^2+30*x+29)/(x-1)/(x+1)/(x^2+1) ogf] A040868 8.16475 [(1075*f(x)+37114)*(f(x)*x^4+29*x^4+x^3+28*x^2-f(x)+x+29) ogf] A040868 9.28012 [-(1+56*x+x^6+3*x^2+232*x^3+3*x^4+56*x^5)/(x-1)/(x+1)/(1+x^2)/(29*x^2+30*x+29)/(x^2-x+1) lgdogf] A040869 12.1271 [-(x^2+116*x+1)/(29*x^4+x^3-x-29) lgdogf] A040869 14.9935 [-f(x)*x^2-29*x^2+f(x)-x-29 ogf] A040869 16.1694 [-(29*x^2+x+29)/(x-1)/(x+1) ogf] A040869 20.1843 [-(1+116*x+x^2)/(x-1)/(x+1)/(29*x^2+x+29) lgdogf] A040869 9.58885 [{-a(n+3)+a(n+1),a(0)=29,a(1)=1,a(2)=58} ogf] A040870 10.7497 [{a(n+2)-a(n+1),a(0)=30,a(1)=60} ogf] A040870 16.9251 [-f(x)*x+f(x)-30*x-30 ogf] A040870 20.3969 [-30*(x+1)/(x-1) ogf] A040870 20.4976 [-1/60*x-1/2+1/60*(x^2+180*x+900)^(1/2) revogf] A040870 24.8588 [2/(-x^2+1) lgdogf] A040870 37.7338 [[2-x] ogf_with_Euler_transform] A040870 55.6363 [-2/(x-1)/(x+1) lgdogf] A040871 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040871 15.2977 [-30*(x^2+x+1)/(x-1)/(x+1) ogf] A040871 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040871 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040871 9.14346 [{-a(n+3)+a(n+1),a(0)=30,a(1)=30,a(2)=60} ogf] A040871 9.58412 [-(2*f(x)-45)*(f(x)*x^2+30*x^2-f(x)+30*x+30) ogf] A040872 12.2382 [-(2*x^2+12*x+2)/(3*x^4+2*x^3-2*x-3) lgdogf] A040872 14.205 [-f(x)*x^2-30*x^2+f(x)-20*x-30 ogf] A040872 15.2977 [-10*(3*x^2+2*x+3)/(x-1)/(x+1) ogf] A040872 19.4727 [-2*(1+6*x+x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A040872 9.14346 [{-a(n+3)+a(n+1),a(0)=30,a(1)=20,a(2)=60} ogf] A040873 12.4294 [-(x^2+8*x+1)/(2*x^4+x^3-x-2) lgdogf] A040873 14.205 [-f(x)*x^2-30*x^2+f(x)-15*x-30 ogf] A040873 15.2977 [-15*(2*x^2+x+2)/(x-1)/(x+1) ogf] A040873 21.6363 [-(1+8*x+x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A040873 9.14346 [{-a(n+3)+a(n+1),a(0)=30,a(1)=15,a(2)=60} ogf] A040874 12.2382 [-(2*x^2+20*x+2)/(5*x^4+2*x^3-2*x-5) lgdogf] A040874 14.205 [-f(x)*x^2-30*x^2+f(x)-12*x-30 ogf] A040874 15.2977 [-6*(5*x^2+2*x+5)/(x-1)/(x+1) ogf] A040874 18.9978 [-2*(1+10*x+x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A040874 9.14346 [{-a(n+3)+a(n+1),a(0)=30,a(1)=12,a(2)=60} ogf] A040875 12.2382 [-(x^2+12*x+1)/(3*x^4+x^3-x-3) lgdogf] A040875 14.205 [-f(x)*x^2-30*x^2+f(x)-10*x-30 ogf] A040875 15.2977 [-10*(3*x^2+x+3)/(x-1)/(x+1) ogf] A040875 21.0516 [-(1+12*x+x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A040875 9.14346 [{-a(n+3)+a(n+1),a(0)=30,a(1)=10,a(2)=60} ogf] A040877 8.50717 [-(30*x^8+7*x^7+x^6+x^5+14*x^4+x^3+x^2+7*x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040878 8.59288 [-(30*x^8+6*x^7+x^6+2*x^5+6*x^4+2*x^3+x^2+6*x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040879 12.6868 [-(x^2+20*x+1)/(5*x^4+x^3-x-5) lgdogf] A040879 14.9935 [-f(x)*x^2-30*x^2+f(x)-6*x-30 ogf] A040879 16.1694 [-6*(5*x^2+x+5)/(x-1)/(x+1) ogf] A040879 21.8208 [-(1+20*x+x^2)/(x-1)/(x+1)/(5*x^2+x+5) lgdogf] A040879 9.58885 [{-a(n+3)+a(n+1),a(0)=30,a(1)=6,a(2)=60} ogf] A040881 12.6868 [-(x^2+24*x+1)/(6*x^4+x^3-x-6) lgdogf] A040881 14.9935 [-f(x)*x^2-30*x^2+f(x)-5*x-30 ogf] A040881 16.1694 [-5*(6*x^2+x+6)/(x-1)/(x+1) ogf] A040881 21.8208 [-(1+24*x+x^2)/(x-1)/(x+1)/(6*x^2+x+6) lgdogf] A040881 9.58885 [{-a(n+3)+a(n+1),a(0)=30,a(1)=5,a(2)=60} ogf] A040883 11.2547 [-(x+1)*(30*x^4-26*x^3+29*x^2-26*x+30)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040883 7.18550 [-(4+6*x+6*x^7+9*x^6+16*x^5+9*x^2+16*x^3+300*x^4+4*x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(30*x^4-26*x^3+29*x^2-26*x+30) lgdogf] A040884 12.3081 [-(2*x^2+60*x+2)/(15*x^4+2*x^3-2*x-15) lgdogf] A040884 14.9935 [-f(x)*x^2-30*x^2+f(x)-4*x-30 ogf] A040884 16.1694 [-2*(15*x^2+2*x+15)/(x-1)/(x+1) ogf] A040884 18.7761 [-2*(1+30*x+x^2)/(x-1)/(x+1)/(15*x^2+2*x+15) lgdogf] A040884 9.58885 [{-a(n+3)+a(n+1),a(0)=30,a(1)=4,a(2)=60} ogf] A040886 4.91781 [-(30*x^16+3*x^15+x^14+x^13+4*x^12+x^11+14*x^10+3*x^9+8*x^8+3*x^7+14*x^6+x^5+4*x^4+x^3+x^2+3*x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040887 7.15342 [-(30*x^10+3*x^9+2*x^8+x^7+6*x^6+30*x^5+6*x^4+x^3+2*x^2+3*x+30)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040889 12.3081 [-(x^2+40*x+1)/(10*x^4+x^3-x-10) lgdogf] A040889 14.9935 [-f(x)*x^2-30*x^2+f(x)-3*x-30 ogf] A040889 16.1694 [-3*(10*x^2+x+10)/(x-1)/(x+1) ogf] A040889 20.7018 [-(1+40*x+x^2)/(x-1)/(x+1)/(10*x^2+x+10) lgdogf] A040889 9.58885 [{-a(n+3)+a(n+1),a(0)=30,a(1)=3,a(2)=60} ogf] A040892 10.3308 [-(30*x^6+2*x^5+x^4+x^3+x^2+2*x+30)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040892 6.31271 [-(2+2*x+2*x^9+10*x^6+3*x^8+4*x^7+3*x^2+4*x^3+10*x^4+360*x^5+2*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(30*x^6+2*x^5+x^4+x^3+x^2+2*x+30) lgdogf] A040893 8.50717 [-(30*x^8+2*x^7+x^6+x^5+14*x^4+x^3+x^2+2*x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040894 11.2547 [-2*(x+1)*(15*x^4-14*x^3+15*x^2-14*x+15)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040894 7.44444 [-(1+2*x+2*x^7+3*x^6+4*x^5+3*x^2+4*x^3+150*x^4+x^8)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(15*x^4-14*x^3+15*x^2-14*x+15) lgdogf] A040896 8.59288 [-(30*x^8+2*x^7+4*x^6+5*x^5+3*x^4+5*x^3+4*x^2+2*x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040897 4.94590 [-(30*x^16+2*x^15+6*x^14+3*x^13+x^12+x^11+x^10+8*x^9+15*x^8+8*x^7+x^6+x^5+x^4+3*x^3+6*x^2+2*x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040899 12.3081 [-(x^2+60*x+1)/(15*x^4+x^3-x-15) lgdogf] A040899 14.9935 [-f(x)*x^2-30*x^2+f(x)-2*x-30 ogf] A040899 16.1694 [-2*(15*x^2+x+15)/(x-1)/(x+1) ogf] A040899 20.7018 [-(1+60*x+x^2)/(x-1)/(x+1)/(15*x^2+x+15) lgdogf] A040899 9.58885 [{-a(n+3)+a(n+1),a(0)=30,a(1)=2,a(2)=60} ogf] A040902 8.50717 [-(30*x^8+x^7+x^6+5*x^5+20*x^4+5*x^3+x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040904 8.59288 [-(30*x^8+x^7+x^6+2*x^5+x^4+2*x^3+x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040905 8.59288 [-(30*x^8+x^7+x^6+2*x^5+6*x^4+2*x^3+x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040907 7.38431 [-(30*x^10+x^9+x^8+x^7+2*x^6+8*x^5+2*x^4+x^3+x^2+x+30)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040908 7.15342 [-(30*x^10+x^9+x^8+x^7+4*x^6+20*x^5+4*x^4+x^3+x^2+x+30)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040909 8.50717 [-(30*x^8+x^7+x^6+x^5+14*x^4+x^3+x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040911 8.50717 [-(30*x^8+x^7+2*x^6+4*x^5+20*x^4+4*x^3+2*x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040912 10.3308 [-(x^2+1)*(30*x^4+x^3-28*x^2+x+30)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040912 6.55931 [-(1+4*x+4*x^9+5*x^6+6*x^8+8*x^7+6*x^2+8*x^3+5*x^4+360*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(30*x^4+x^3-28*x^2+x+30) lgdogf] A040913 4.97347 [-(30*x^16+x^15+2*x^14+x^13+x^12+x^11+2*x^10+2*x^9+3*x^8+2*x^7+2*x^6+x^5+x^4+x^3+2*x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040914 7.15342 [-(30*x^10+x^9+2*x^8+x^7+6*x^6+12*x^5+6*x^4+x^3+2*x^2+x+30)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040917 7.15342 [-(30*x^10+x^9+3*x^8+x^7+3*x^6+20*x^5+3*x^4+x^3+3*x^2+x+30)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040919 4.97347 [-(30*x^16+x^15+4*x^14+x^13+x^12+x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+4*x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040921 8.59288 [-(30*x^8+x^7+5*x^6+x^5+6*x^4+x^3+5*x^2+x+30)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040926 6.11644 [-(1+28*x+28*x^9+5*x^6+6*x^8+56*x^7+6*x^2+56*x^3+5*x^4+360*x^5+x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1)/(30*x^4+x^3-16*x^2+x+30) lgdogf] A040926 9.70166 [-(x^2+1)*(30*x^4+x^3-16*x^2+x+30)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040928 12.1271 [-(x^2-x+1)*(30*x^2+31*x+30)/(x-1)/(x+1)/(x^2+1) ogf] A040928 7.92923 [(85529*f(x)+3079713)*(f(x)*x^4+30*x^4+x^3+29*x^2-f(x)+x+30) ogf] A040928 9.28012 [-(1+58*x+x^6+3*x^2+240*x^3+3*x^4+58*x^5)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1)/(30*x^2+31*x+30) lgdogf] A040929 12.1271 [-(x^2+120*x+1)/(30*x^4+x^3-x-30) lgdogf] A040929 16.1694 [-(30*x^2+x+30)/(x-1)/(x+1) ogf] A040929 20.1843 [-(1+120*x+x^2)/(x-1)/(x+1)/(30*x^2+x+30) lgdogf] A040929 9.37091 [(216060*f(x)-6481799)*(f(x)*x^2+30*x^2-f(x)+x+30) ogf] A040929 9.58885 [{-a(n+3)+a(n+1),a(0)=30,a(1)=1,a(2)=60} ogf] A040930 10.7497 [{a(n+2)-a(n+1),a(0)=31,a(1)=62} ogf] A040930 16.9251 [-f(x)*x+f(x)-31*x-31 ogf] A040930 20.3969 [-31*(x+1)/(x-1) ogf] A040930 20.4976 [-1/62*x-1/2+1/62*(x^2+186*x+961)^(1/2) revogf] A040930 24.8588 [2/(-x^2+1) lgdogf] A040930 37.7338 [[2-x] ogf_with_Euler_transform] A040930 55.6363 [-2/(x-1)/(x+1) lgdogf] A040931 12.4294 [-(x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A040931 15.2977 [-31*(x^2+x+1)/(x-1)/(x+1) ogf] A040931 22.9091 [-(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A040931 31.6964 [-x^2+x+1 ogf_with_Euler_transform] A040931 9.14346 [{-a(n+3)+a(n+1),a(0)=31,a(1)=31,a(2)=62} ogf] A040931 9.35861 [-(10*f(x)-279)*(f(x)*x^2+31*x^2-f(x)+31*x+31) ogf] A040933 10.6084 [-(x+1)*(31*x^4-16*x^3+17*x^2-16*x+31)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040933 6.83536 [-(15+2*x+3*x^6+15*x^8+2*x^7+3*x^2+60*x^3+310*x^4+60*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(31*x^4-16*x^3+17*x^2-16*x+31) lgdogf] A040934 9.70166 [-(31*x^6+12*x^5+2*x^4+2*x^3+2*x^2+12*x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040936 10.3308 [-(31*x^6+8*x^5+x^4+6*x^3+x^2+8*x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040936 6.31271 [-2*(4+x+x^9+20*x^6+9*x^8+2*x^7+9*x^2+2*x^3+20*x^4+186*x^5+4*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(31*x^6+8*x^5+x^4+6*x^3+x^2+8*x+31) lgdogf] A040937 4.97347 [-(31*x^16+7*x^15+x^14+3*x^13+3*x^12+x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+3*x^4+3*x^3+x^2+7*x+31)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A040938 8.01243 [-(x+1)*(31*x^8-25*x^7+26*x^6-17*x^5+18*x^4-17*x^3+26*x^2-25*x+31)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A040941 8.59288 [-(31*x^8+5*x^7+5*x^6+2*x^5+8*x^4+2*x^3+5*x^2+5*x+31)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040943 10.0361 [-4*(1+x+x^6+3*x^2+62*x^3+3*x^4+x^5)/(x-1)/(x+1)/(1+x^2)/(31*x^4+4*x^3+2*x^2+4*x+31) lgdogf] A040943 12.6973 [-(31*x^4+4*x^3+2*x^2+4*x+31)/(x-1)/(x+1)/(x^2+1) ogf] A040943 8.68078 [(200*f(x)-6111)*(f(x)*x^4+31*x^4+4*x^3+2*x^2-f(x)+4*x+31) ogf] A040946 7.15342 [-(31*x^10+3*x^9+x^8+x^7+x^6+30*x^5+x^4+x^3+x^2+3*x+31)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040947 7.38431 [-(x^2+1)*(31*x^8+3*x^7-29*x^6+2*x^5+30*x^4+2*x^3-29*x^2+3*x+31)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040948 7.38431 [-(31*x^10+3*x^9+3*x^8+x^7+x^6+2*x^5+x^4+x^3+3*x^2+3*x+31)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040950 10.0445 [-(31*x^6+2*x^5+x^4+30*x^3+x^2+2*x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040950 6.25876 [-2*(1+x+x^9+5*x^6+45*x^8+2*x^7+45*x^2+2*x^3+5*x^4+186*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(31*x^6+2*x^5+x^4+30*x^3+x^2+2*x+31) lgdogf] A040951 8.50717 [-(x^2-x+1)*(31*x^6+33*x^5+3*x^4-25*x^3+3*x^2+33*x+31)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A040952 7.38431 [-(31*x^10+2*x^9+x^8+2*x^7+2*x^6+7*x^5+2*x^4+2*x^3+x^2+2*x+31)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A040953 11.2547 [-(x+1)*(31*x^4-29*x^3+30*x^2-29*x+31)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A040953 7.31268 [-(2+2*x+2*x^7+3*x^6+8*x^5+3*x^2+8*x^3+310*x^4+2*x^8)/(x-1)/(x+1)/(31*x^4-29*x^3+30*x^2-29*x+31)/(x^4+x^3+x^2+x+1) lgdogf] A040954 12.5175 [-2*(1+2*x+93*x^2+2*x^3+x^4)/(x-1)/(x+1)/(x^2+x+1)/(31*x^2-29*x+31) lgdogf] A040954 14.3006 [-(x+1)*(31*x^2-29*x+31)/(x-1)/(x^2+x+1) ogf] A040954 8.60953 [{a(n+4)-a(n+1),a(0)=31,a(1)=2,a(2)=2,a(3)=62} ogf] A040954 9.17102 [-(21*f(x)-649)*(f(x)*x^3+31*x^3+2*x^2-f(x)+2*x+31) ogf] A040955 12.6973 [-(31*x^4+2*x^3+2*x^2+2*x+31)/(x-1)/(x+1)/(x^2+1) ogf] A040955 8.86163 [(16*f(x)-493)*(f(x)*x^4+31*x^4+2*x^3+2*x^2-f(x)+2*x+31) ogf] A040955 9.46584 [-2*(1+2*x+x^6+3*x^2+124*x^3+3*x^4+2*x^5)/(x-1)/(x+1)/(1+x^2)/(31*x^4+2*x^3+2*x^2+2*x+31) lgdogf] A040958 12.6973 [-(31*x^4+2*x^3+6*x^2+2*x+31)/(x-1)/(x+1)/(x^2+1) ogf] A040958 8.25939 [-(833*f(x)-24912)*(f(x)*x^4+31*x^4+2*x^3+6*x^2-f(x)+2*x+31) ogf] A040958 9.46584 [-2*(1+6*x+x^6+3*x^2+124*x^3+3*x^4+6*x^5)/(x-1)/(x+1)/(1+x^2)/(31*x^4+2*x^3+6*x^2+2*x+31) lgdogf] A040960 12.1271 [-(2*x^2+124*x+2)/(31*x^4+2*x^3-2*x-31) lgdogf] A040960 14.9935 [-f(x)*x^2-31*x^2+f(x)-2*x-31 ogf] A040960 16.1694 [-(31*x^2+2*x+31)/(x-1)/(x+1) ogf] A040960 18.7761 [-2*(1+62*x+x^2)/(x-1)/(x+1)/(31*x^2+2*x+31) lgdogf] A040960 9.58885 [{-a(n+3)+a(n+1),a(0)=31,a(1)=2,a(2)=62} ogf] A040961 10.0445 [-(31*x^6+x^5+x^4+20*x^3+x^2+x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040961 6.35505 [-(1+2*x+2*x^9+5*x^6+60*x^8+4*x^7+60*x^2+4*x^3+5*x^4+372*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(31*x^6+x^5+x^4+20*x^3+x^2+x+31) lgdogf] A040962 10.3308 [-(31*x^6+x^5+x^4+8*x^3+x^2+x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A040962 6.50846 [-(1+2*x+2*x^9+5*x^6+24*x^8+4*x^7+24*x^2+4*x^3+5*x^4+372*x^5+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(31*x^6+x^5+x^4+8*x^3+x^2+x+31) lgdogf] A040963 6.30482 [-(31*x^12+x^11+x^10+5*x^9+4*x^8+3*x^7+12*x^6+3*x^5+4*x^4+5*x^3+x^2+x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A040977 16.3700 [-(6*x+8)/(x^2-1) lgdogf] A040977 32.1043 [-2*(4+3*x)/(x-1)/(x+1) lgdogf] A040977 33.9972 [[8-x] ogf_with_Euler_transform] A040977 5.33541 [{(-n-3)*a(n+3)+8*a(n+2)+(7+n)*a(n+1),a(0)=1,a(1)=8,a(2)=35} ogf] A040977 8.09304 [-(x+1)/(x-1)^7 ogf] A041001 7.42941 [(-(16*x-1)/(-1+4*x)^(1/2)+I)/(-1+4*x)^(1/2)/x lgdogf] A041001 9.73612 [-28+256*x+(2-40*x+128*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A041005 10.0036 [-32+324*x+(2-44*x+144*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A041005 3.07626 [{(-16*n^2-184*n-528)*a(n+1)+(8*n^2+78*n+172)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=16,a(2)=159} ogf] A041005 7.62912 [(-(18*x-1)/(-1+4*x)^(1/2)+I)/(-1+4*x)^(1/2)/x lgdogf] A041006 11.2858 [-(x+1)*(x^2-3*x-2)/(x^4-10*x^2+1) ogf] A041006 6.59167 [-(21144*f(x)+7613)*(f(x)*x^4-10*f(x)*x^2+x^3-2*x^2+f(x)-5*x-2) ogf] A041006 7.33086 [-(5+44*x+x^6-4*x^5-5*x^4-8*x^3+47*x^2)/(x+1)/(x^2-3*x-2)/(x^4-10*x^2+1) lgdogf] A041007 5.57781 [(1762*f(x)+19)*(f(x)*x^4-10*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041007 9.42457 [-(x^2-2*x-1)/(x^4-10*x^2+1) ogf] A041007 9.70750 [-2*(x^3-5*x^2+7*x+1)*(x+1)^2/(x^2-2*x-1)/(x^4-10*x^2+1) lgdogf] A041008 5.90996 [-(x^7-2*x^6+3*x^5-5*x^4-8*x^3-5*x^2-3*x-2)/(x^8-16*x^4+1) ogf] A041009 6.53787 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-16*x^4+1) ogf] A041010 10.2573 [(2*x^3-3*x^2+2*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A041010 6.80239 [-(2704*f(x)+1861)*(f(x)*x^4-6*f(x)*x^2+x^3-2*x^2+f(x)-3*x-2) ogf] A041010 7.87056 [-2*(-1-3*x-9*x^2+2*x^3+9*x^4-3*x^5+x^6)/(x^2+2*x-1)/(x^2-2*x-1)/(2*x^3-3*x^2+2*x+1) lgdogf] A041011 10.9842 [-x*(x^2-x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A041011 6.94726 [(338*f(x)-1)*(f(x)*x^4-6*f(x)*x^2+x^2+f(x)-x-1) ogf] A041011 9.84825 [-(1+10*x+6*x^2-4*x^3-3*x^4+2*x^5)/(x^2+2*x-1)/(x^2-2*x-1)/(x^2-x-1) lgdogf] A041014 4.68388 [-(499026*f(x)+122473)*(f(x)*x^4-20*f(x)*x^2+x^3-3*x^2+f(x)-10*x-3) ogf] A041014 6.95890 [-(10+126*x+x^6-6*x^5-10*x^4-12*x^3+197*x^2)/(x^3-3*x^2-10*x-3)/(x^4-20*x^2+1) lgdogf] A041014 8.17931 [-(x^3-3*x^2-10*x-3)/(x^4-20*x^2+1) ogf] A041015 5.52186 [-(15122*f(x)+39)*(f(x)*x^4-20*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041015 9.12110 [-(3+38*x+2*x^5-4*x^3-9*x^4+60*x^2)/(x^2-3*x-1)/(x^4-20*x^2+1) lgdogf] A041015 9.80605 [-(x^2-3*x-1)/(x^4-20*x^2+1) ogf] A041016 5.22582 [-(60504*f(x)+22049)*(f(x)*x^4-14*f(x)*x^2+x^3-3*x^2+f(x)-7*x-3) ogf] A041016 7.20001 [-(7+90*x+x^6-6*x^5+95*x^2-12*x^3-7*x^4)/(x+1)/(x^2+4*x+1)/(x^2-4*x+1)/(x^2-4*x-3) lgdogf] A041016 9.02641 [-(x+1)*(x^2-4*x-3)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A041017 5.75907 [(5042*f(x)-29)*(f(x)*x^4-14*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041017 7.99777 [-2*(x+1)*(x^4-4*x^3+2*x^2+12*x+1)/(x^2-4*x+1)/(x^2+4*x+1)/(x^2-2*x-1) lgdogf] A041017 9.73083 [-(x^2-2*x-1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A041018 5.13656 [-(x^9-3*x^8+4*x^7-7*x^6+11*x^5+18*x^4+11*x^3+7*x^2+4*x+3)/(x^10+36*x^5-1) ogf] A041019 7.67557 [-(x^4+2*x^3+4*x^2+3*x+1)*(x^4-3*x^3+4*x^2-2*x+1)/(x^10+36*x^5-1) ogf] A041020 5.90641 [-(x^7-3*x^6+4*x^5-11*x^4-15*x^3-11*x^2-4*x-3)/(x^8-30*x^4+1) ogf] A041021 6.47928 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-30*x^4+1) ogf] A041022 4.89592 [-(2598*f(x)+1835)*(f(x)*x^4-8*f(x)*x^2+x^3-3*x^2+f(x)-4*x-3) ogf] A041022 7.47513 [-(4+54*x+x^6-6*x^5-4*x^4-12*x^3+29*x^2)/(x^3-3*x^2-4*x-3)/(x^4-8*x^2+1) lgdogf] A041022 8.36072 [-(x^3-3*x^2-4*x-3)/(x^4-8*x^2+1) ogf] A041023 5.66656 [(866*f(x)-17)*(f(x)*x^4-8*f(x)*x^2+x^2+f(x)-x-1) ogf] A041023 9.31781 [-(1+14*x+2*x^5-3*x^4-4*x^3+8*x^2)/(x^2-x-1)/(x^4-8*x^2+1) lgdogf] A041023 9.54370 [-(x^2-x-1)/(x^4-8*x^2+1) ogf] A041024 13.0210 [-(x+4)/(x^2+8*x-1) ogf] A041024 15.9491 [(-2-4*x+(4+17*x+17*x^2)^(1/2))/(x+1) revogf] A041024 18.5215 [-(33+8*x+x^2)/(x+4)/(x^2+8*x-1) lgdogf] A041024 6.73498 [(272*f(x)+1)*(f(x)*x^2+8*f(x)*x-f(x)+x+4) ogf] A041024 7.05957 [{a(n+2)-8*a(n+1)-a(n),a(0)=4,a(1)=33} ogf] A041024 8.74543 [-(x^2+8*x+33)/(x^3+12*x^2+31*x-4) lgdogf] A041025 14.3346 [-(-2*x-8)/(-x^2-8*x+1) lgdogf] A041025 18.7745 [1/2/x*(-1-8*x+(16*x+68*x^2+1)^(1/2)) revogf] A041025 20.8504 [-1/(x^2+8*x-1) ogf] A041025 33.7942 [-2*(x+4)/(x^2-1+8*x) lgdogf] A041025 8.00072 [-(33*f(x)-1)*(f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A041025 8.39100 [{-a(n+2)+8*a(n+1)+a(n),a(0)=1,a(1)=8} ogf] A041026 4.25583 [-(5483664*f(x)+1017521)*(f(x)*x^4-34*f(x)*x^2+x^3-4*x^2+f(x)-17*x-4) ogf] A041026 5.75193 [-(17+280*x+x^6-8*x^5-17*x^4-16*x^3+575*x^2)/(1+6*x+x^2)/(x^2-6*x+1)/(x^3-4*x^2-17*x-4) lgdogf] A041026 7.55887 [-(x^3-4*x^2-17*x-4)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A041027 5.17709 [-(76162*f(x)+67)*(f(x)*x^4-34*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041027 7.44653 [-2*(2+33*x+x^5-6*x^4-2*x^3+68*x^2)/(1+6*x+x^2)/(x^2-6*x+1)/(x^2-4*x-1) lgdogf] A041027 9.19379 [-(x^2-4*x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A041028 3.98960 [-(x^11-4*x^10+9*x^9-13*x^8+48*x^7-61*x^6-170*x^5-61*x^4-48*x^3-13*x^2-9*x-4)/(x^12-340*x^6+1) ogf] A041029 4.38591 [-(x^10-2*x^9+3*x^8-11*x^7+14*x^6-39*x^5-14*x^4-11*x^3-3*x^2-2*x-1)/(x^12-340*x^6+1) ogf] A041030 4.59303 [-(437840*f(x)+160657)*(f(x)*x^4-18*f(x)*x^2+x^3-4*x^2+f(x)-9*x-4) ogf] A041030 6.27244 [-(9+152*x+x^6-8*x^5-9*x^4-16*x^3+159*x^2)/(x+1)/(x^2-5*x-4)/(x^2+4*x-1)/(x^2-4*x-1) lgdogf] A041030 8.07259 [-(x+1)*(x^2-5*x-4)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A041031 5.29044 [-(10946*f(x)-109)*(f(x)*x^4-18*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041031 7.79480 [-2*(x+1)*(x^4-4*x^3+2*x^2+16*x+1)/(x^2+4*x-1)/(x^2-4*x-1)/(x^2-2*x-1) lgdogf] A041031 9.48629 [-(x^2-2*x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A041032 4.29111 [-(x^11-4*x^10+5*x^9-9*x^8+23*x^7-32*x^6-55*x^5-32*x^4-23*x^3-9*x^2-5*x-4)/(x^4-5*x^2+1)/(x^8+5*x^6+24*x^4+5*x^2+1) ogf] A041033 4.75698 [-(x^6-6*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^4-5*x^2+1)/(x^8+5*x^6+24*x^4+5*x^2+1) ogf] A041034 4.00125 [-(x^11-4*x^10+5*x^9-14*x^8+61*x^7-136*x^6-197*x^5-136*x^4-61*x^3-14*x^2-5*x-4)/(x^12-394*x^6+1) ogf] A041035 4.43603 [-(x^10-x^9+3*x^8-13*x^7+29*x^6-42*x^5-29*x^4-13*x^3-3*x^2-x-1)/(x^12-394*x^6+1) ogf] A041036 5.67288 [-(x^7-4*x^6+5*x^5-19*x^4-24*x^3-19*x^2-5*x-4)/(x^8-48*x^4+1) ogf] A041037 6.29899 [-(x^2-x-1)*(x^4+5*x^2+1)/(x^8-48*x^4+1) ogf] A041038 4.67574 [-(42288*f(x)+30305)*(f(x)*x^4-10*f(x)*x^2+x^3-4*x^2+f(x)-5*x-4) ogf] A041038 7.22905 [-(5+88*x+x^6-8*x^5-5*x^4-16*x^3+47*x^2)/(x^3-4*x^2-5*x-4)/(x^4-10*x^2+1) lgdogf] A041038 8.07626 [-(x^3-4*x^2-5*x-4)/(x^4-10*x^2+1) ogf] A041039 5.74799 [(1762*f(x)-41)*(f(x)*x^4-10*f(x)*x^2+x^2+f(x)-x-1) ogf] A041039 9.32930 [-(1+18*x+2*x^5-3*x^4-4*x^3+10*x^2)/(x^2-x-1)/(x^4-10*x^2+1) lgdogf] A041039 9.71214 [-(x^2-x-1)/(x^4-10*x^2+1) ogf] A041040 12.0642 [-(x+5)/(x^2+10*x-1) ogf] A041040 12.3498 [1/2/(x+1)*(-5-10*x+(25+104*x+104*x^2)^(1/2)) revogf] A041040 16.4664 [-(51+10*x+x^2)/(5+x)/(x^2+10*x-1) lgdogf] A041040 6.30627 [(520*f(x)+1)*(f(x)*x^2+10*f(x)*x-f(x)+x+5) ogf] A041040 6.60656 [{a(n+2)-10*a(n+1)-a(n),a(0)=5,a(1)=51} ogf] A041040 8.16104 [-(x^2+10*x+51)/(x^3+15*x^2+49*x-5) lgdogf] A041041 13.9601 [-(-2*x-10)/(-x^2-10*x+1) lgdogf] A041041 18.0532 [1/2/x*(-10*x-1+(104*x^2+20*x+1)^(1/2)) revogf] A041041 20.5296 [-1/(x^2+10*x-1) ogf] A041041 32.6677 [-2*(5+x)/(x^2+10*x-1) lgdogf] A041041 8.02305 [-(51*f(x)-1)*(f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A041041 8.30958 [{-a(n+2)+10*a(n+1)+a(n),a(0)=1,a(1)=10} ogf] A041042 4.68657 [-(37206270*f(x)+5543801)*(f(x)*x^4-52*f(x)*x^2+x^3-5*x^2+f(x)-26*x-5) ogf] A041042 6.96975 [-(26+530*x+x^6+1349*x^2-20*x^3-26*x^4-10*x^5)/(x^3-5*x^2-26*x-5)/(x^4-52*x^2+1) lgdogf] A041042 8.39385 [-(x^3-5*x^2-26*x-5)/(x^4-52*x^2+1) ogf] A041043 10.0718 [-(x^2-5*x-1)/(x^4-52*x^2+1) ogf] A041043 5.5635 [-(275602*f(x)+103)*(f(x)*x^4-52*f(x)*x^2+x^2+f(x)-5*x-1) ogf] A041043 8.94038 [-(5+102*x+260*x^2-4*x^3-15*x^4+2*x^5)/(x^2-5*x-1)/(x^4-52*x^2+1) lgdogf] A041044 5.47555 [-(x^7-5*x^6+16*x^5-37*x^4-127*x^3-37*x^2-16*x-5)/(x^4-16*x^2+1)/(x^4+16*x^2+1) ogf] A041045 6.30507 [-(x^2-3*x-1)*(x^4+8*x^2+1)/(x^4-16*x^2+1)/(x^4+16*x^2+1) ogf] A041046 4.71055 [-(x^9-5*x^8+11*x^7-16*x^6+27*x^5+70*x^4+27*x^3+16*x^2+11*x+5)/(x^10+140*x^5-1) ogf] A041047 5.17111 [-(x^8-2*x^7+3*x^6-5*x^5+13*x^4+5*x^3+3*x^2+2*x+1)/(x^10+140*x^5-1) ogf] A041048 11.3366 [-(x+1)*(x^2-6*x-5)/(x^4-22*x^2+1) ogf] A041048 6.49192 [-(607260*f(x)+223783)*(f(x)*x^4-22*f(x)*x^2+x^3-5*x^2+f(x)-11*x-5) ogf] A041048 9.69924 [-(11+230*x+x^6-10*x^5-11*x^4-20*x^3+239*x^2)/(x+1)/(x^2-6*x-5)/(x^4-22*x^2+1) lgdogf] A041049 5.29747 [(20242*f(x)-221)*(f(x)*x^4-22*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041049 8.62614 [-2*(x+1)*(x^4-4*x^3+2*x^2+20*x+1)/(x^2-2*x-1)/(x^4-22*x^2+1) lgdogf] A041049 9.13355 [-(x^2-2*x-1)/(x^4-22*x^2+1) ogf] A041052 5.64523 [-(x^7-5*x^6+6*x^5-11*x^4-17*x^3-11*x^2-6*x-5)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+6*x^2+1) ogf] A041053 6.73844 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+6*x^2+1) ogf] A041054 5.64101 [-(x^7-5*x^6+6*x^5-17*x^4-23*x^3-17*x^2-6*x-5)/(x^8-46*x^4+1) ogf] A041055 6.55506 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-46*x^4+1) ogf] A041056 5.53799 [-(x^7-5*x^6+6*x^5-29*x^4-35*x^3-29*x^2-6*x-5)/(x^8-70*x^4+1) ogf] A041057 6.18740 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-70*x^4+1) ogf] A041058 5.07132 [-(109270*f(x)+79021)*(f(x)*x^4-12*f(x)*x^2+x^3-5*x^2+f(x)-6*x-5) ogf] A041058 7.71161 [-(6+130*x+x^6-10*x^5-20*x^3-6*x^4+69*x^2)/(x^3-5*x^2-6*x-5)/(x^4-12*x^2+1) lgdogf] A041058 8.83638 [-(x^3-5*x^2-6*x-5)/(x^4-12*x^2+1) ogf] A041059 5.43912 [(3122*f(x)-73)*(f(x)*x^4-12*f(x)*x^2+x^2+f(x)-x-1) ogf] A041059 8.82189 [-(1+22*x+2*x^5-3*x^4-4*x^3+12*x^2)/(x^2-x-1)/(x^4-12*x^2+1) lgdogf] A041059 9.19022 [-(x^2-x-1)/(x^4-12*x^2+1) ogf] A041060 11.6408 [-(x+6)/(x^2+12*x-1) ogf] A041060 14.5596 [(-3-6*x+(9+37*x+37*x^2)^(1/2))/(x+1) revogf] A041060 15.8831 [-(73+12*x+x^2)/(x+6)/(x^2+12*x-1) lgdogf] A041060 6.08497 [(888*f(x)+1)*(f(x)*x^2+12*f(x)*x-f(x)+x+6) ogf] A041060 6.37473 [{a(n+2)-12*a(n+1)-a(n),a(0)=6,a(1)=73} ogf] A041060 7.87466 [-(x^2+12*x+73)/(x^3+18*x^2+71*x-6) lgdogf] A041061 14.3795 [-(-2*x-12)/(-x^2-12*x+1) lgdogf] A041061 18.6051 [1/2/x*(-1-12*x+(1+24*x+148*x^2)^(1/2)) revogf] A041061 21.1463 [-1/(x^2+12*x-1) ogf] A041061 33.6663 [-2*(x+6)/(x^2-1+12*x) lgdogf] A041061 8.26409 [-(73*f(x)-1)*(f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A041061 8.55923 [{-a(n+2)+12*a(n+1)+a(n),a(0)=1,a(1)=12} ogf] A041062 4.38294 [-(182218056*f(x)+22671901)*(f(x)*x^4-74*f(x)*x^2+x^3-6*x^2+f(x)-37*x-6) ogf] A041062 6.62224 [-(37+900*x+x^6-12*x^5-24*x^3-37*x^4+2735*x^2)/(x^3-6*x^2-37*x-6)/(x^4-74*x^2+1) lgdogf] A041062 7.98087 [-(x^3-6*x^2-37*x-6)/(x^4-74*x^2+1) ogf] A041063 10.9996 [-2*(3+73*x+222*x^2-2*x^3-9*x^4+x^5)/(x^2-6*x-1)/(x^4-74*x^2+1) lgdogf] A041063 11.9681 [-(x^2-6*x-1)/(x^4-74*x^2+1) ogf] A041063 6.61096 [-(799202*f(x)+147)*(f(x)*x^4-74*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A041064 4.63749 [-(38189112*f(x)+7110205)*(f(x)*x^4-50*f(x)*x^2+x^3-6*x^2+f(x)-25*x-6) ogf] A041064 6.89521 [-(25+612*x+1247*x^2-24*x^3-25*x^4-12*x^5+x^6)/(x^3-6*x^2-25*x-6)/(x^4-50*x^2+1) lgdogf] A041064 8.30596 [-(x^3-6*x^2-25*x-6)/(x^4-50*x^2+1) ogf] A041065 11.2175 [-2*(2+49*x+100*x^2-2*x^3-6*x^4+x^5)/(x^2-4*x-1)/(x^4-50*x^2+1) lgdogf] A041065 12.2043 [-(x^2-4*x-1)/(x^4-50*x^2+1) ogf] A041065 6.74142 [-(244802*f(x)-701)*(f(x)*x^4-50*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041066 4.39212 [-(12804720*f(x)+3170917)*(f(x)*x^4-38*f(x)*x^2+x^3-6*x^2+f(x)-19*x-6) ogf] A041066 5.99159 [-(19+468*x+x^6-12*x^5-19*x^4-24*x^3+719*x^2)/(x+2)/(x^2-8*x-3)/(x^2-6*x-1)/(x^2+6*x-1) lgdogf] A041066 7.86649 [-(x+2)*(x^2-8*x-3)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A041067 12.7041 [-(x^2-3*x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A041067 7.01753 [-(106706*f(x)-609)*(f(x)*x^4-38*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041068 6.80028 [-(x^5-6*x^4+13*x^3+32*x^2+13*x+6)/(x^6+64*x^3-1) ogf] A041069 10.1706 [-(x^4-2*x^3+5*x^2+2*x+1)/(x^6+64*x^3-1) ogf] A041069 7.25087 [-2*(1+5*x-27*x^6+3*x^5+130*x^3-3*x^8+10*x^7+x^9+160*x^4+93*x^2)/(x^6+64*x^3-1)/(x^4-2*x^3+5*x^2+2*x+1) lgdogf] A041070 4.53136 [-(2830632*f(x)+1046173)*(f(x)*x^4-26*f(x)*x^2+x^3-6*x^2+f(x)-13*x-6) ogf] A041070 6.84738 [-(13+324*x+x^6-12*x^5-13*x^4-24*x^3+335*x^2)/(x+1)/(x^2-7*x-6)/(x^4-26*x^2+1) lgdogf] A041070 8.04822 [-(x+1)*(x^2-7*x-6)/(x^4-26*x^2+1) ogf] A041071 11.9707 [-2*(x+1)*(x^4-4*x^3+2*x^2+24*x+1)/(x^2-2*x-1)/(x^4-26*x^2+1) lgdogf] A041071 12.6026 [-(x^2-2*x-1)/(x^4-26*x^2+1) ogf] A041071 7.30952 [(33698*f(x)-365)*(f(x)*x^4-26*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041075 4.75846 [-(x^2-x-1)*(x^4+3*x^2+1)*(x^8+10*x^4+1)/(x^8+20*x^4+1)/(x^8-20*x^4+1) ogf] A041077 6.22411 [-(x^10-x^9+3*x^8-7*x^7+17*x^6-24*x^5-17*x^4-7*x^3-3*x^2-x-1)/(x^2+3*x+1)/(x^2-3*x+1)/(x^4-3*x^3+8*x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A041080 7.37485 [-(x^7-6*x^6+7*x^5-41*x^4-48*x^3-41*x^2-7*x-6)/(x^8-96*x^4+1) ogf] A041081 8.60532 [-(x^2-x-1)*(x^4+7*x^2+1)/(x^8-96*x^4+1) ogf] A041082 4.7698 [-(242016*f(x)+176101)*(f(x)*x^4-14*f(x)*x^2+x^3-6*x^2+f(x)-7*x-6) ogf] A041082 6.51725 [-(7+180*x+x^6-12*x^5-7*x^4-24*x^3+95*x^2)/(x^2+4*x+1)/(x^2-4*x+1)/(x^3-6*x^2-7*x-6) lgdogf] A041082 8.38327 [-(x^3-6*x^2-7*x-6)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A041083 10.4451 [-(1+26*x+2*x^5-3*x^4-4*x^3+14*x^2)/(x^2+4*x+1)/(x^2-4*x+1)/(x^2-x-1) lgdogf] A041083 12.4707 [-(x^2-x-1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A041083 7.30603 [(5042*f(x)-113)*(f(x)*x^4-14*f(x)*x^2+x^2+f(x)-x-1) ogf] A041084 10.5653 [-(x^2+14*x+99)/(x^3+21*x^2+97*x-7) lgdogf] A041084 15.6183 [-(x+7)/(x^2+14*x-1) ogf] A041084 16.0606 [1/2/(x+1)*(-7-14*x+(49+200*x+200*x^2)^(1/2)) revogf] A041084 21.4141 [-(99+14*x+x^2)/(x+7)/(x^2+14*x-1) lgdogf] A041084 8.07239 [(1400*f(x)+1)*(f(x)*x^2+14*f(x)*x-f(x)+x+7) ogf] A041084 8.55289 [{a(n+2)-14*a(n+1)-a(n),a(0)=7,a(1)=99} ogf] A041085 13.4855 [-(-2*x-14)/(-x^2-14*x+1) lgdogf] A041085 17.4342 [1/2/x*(-1-14*x+(1+28*x+200*x^2)^(1/2)) revogf] A041085 19.8317 [-1/(x^2+14*x-1) ogf] A041085 31.5476 [-2*(x+7)/(x^2-1+14*x) lgdogf] A041085 7.7503 [-(99*f(x)-1)*(f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A041085 8.02711 [{-a(n+2)+14*a(n+1)+a(n),a(0)=1,a(1)=14} ogf] A041086 10.2648 [-(x^3-7*x^2-50*x-7)/(x^4-100*x^2+1) ogf] A041086 5.67484 [-(706717914*f(x)+75462353)*(f(x)*x^4-100*f(x)*x^2+x^3-7*x^2+f(x)-50*x-7) ogf] A041086 8.46941 [-(50+1414*x+x^6+4997*x^2-28*x^3-50*x^4-14*x^5)/(x^3-7*x^2-50*x-7)/(x^4-100*x^2+1) lgdogf] A041087 10.8198 [-(7+198*x+700*x^2-4*x^3-21*x^4+2*x^5)/(x^2-7*x-1)/(x^4-100*x^2+1) lgdogf] A041087 12.1265 [-(x^2-7*x-1)/(x^4-100*x^2+1) ogf] A041087 6.68657 [-(1979602*f(x)+199)*(f(x)*x^4-100*f(x)*x^2+x^2+f(x)-7*x-1) ogf] A041090 5.80677 [-(x^9-7*x^8+22*x^7-29*x^6+51*x^5+182*x^4+51*x^3+29*x^2+22*x+7)/(x^10+364*x^5-1) ogf] A041091 7.03125 [-(x^8-3*x^7+4*x^6-7*x^5+25*x^4+7*x^3+4*x^2+3*x+1)/(x^10+364*x^5-1) ogf] A041093 5.74164 [-(x^10-2*x^9+3*x^8-20*x^7+23*x^6-66*x^5-23*x^4-20*x^3-3*x^2-2*x-1)/(x^4-10*x^2+1)/(x^8+10*x^6+99*x^4+10*x^2+1) ogf] A041094 6.90202 [-(x+1)*(x^6-8*x^5+23*x^4-60*x^3-29*x^2-8*x-7)/(x^8-178*x^4+1) ogf] A041095 8.34708 [-(x^2-2*x-1)*(x^4+6*x^2+1)/(x^8-178*x^4+1) ogf] A041096 11.2316 [-(x+1)*(x^2-8*x-7)/(x^4-30*x^2+1) ogf] A041096 6.32369 [-(2916592*f(x)+1080209)*(f(x)*x^4-30*f(x)*x^2+x^3-7*x^2+f(x)-15*x-7) ogf] A041096 9.61007 [-(15+434*x+x^6-14*x^5-15*x^4-28*x^3+447*x^2)/(x+1)/(x^2-8*x-7)/(x^4-30*x^2+1) lgdogf] A041097 12.3944 [-2*(x+1)*(x^4-4*x^3+2*x^2+28*x+1)/(x^2-2*x-1)/(x^4-30*x^2+1) lgdogf] A041097 13.0410 [-(x^2-2*x-1)/(x^4-30*x^2+1) ogf] A041097 6.46475 [-(-2*x^5+6*x^4+4*x^3-60*x^2-58*x-2)/(-x^6+2*x^5+31*x^4-60*x^3-31*x^2+2*x+1) lgdogf] A041097 7.27285 [-(52082*f(x)-541)*(f(x)*x^4-30*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041098 3.96693 [-(x^11-7*x^10+8*x^9-15*x^8+68*x^7-83*x^6-151*x^5-83*x^4-68*x^3-15*x^2-8*x-7)/(x^12-302*x^6+1) ogf] A041099 4.55753 [-(x^4-x^3+2*x^2+x+1)*(x^6-10*x^3-1)/(x^12-302*x^6+1) ogf] A041100 4.88648 [-(x^13-7*x^12+8*x^11-15*x^10+23*x^9-38*x^8+61*x^7+99*x^6+61*x^5+38*x^4+23*x^3+15*x^2+8*x+7)/(x^14+198*x^7-1) ogf] A041101 5.46096 [-(x^12-x^11+2*x^10-3*x^9+5*x^8-8*x^7+13*x^6+8*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x^14+198*x^7-1) ogf] A041104 7.52220 [-(x^7-7*x^6+8*x^5-23*x^4-31*x^3-23*x^2-8*x-7)/(x^4-8*x^2+1)/(x^4+8*x^2+1) ogf] A041105 8.72974 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^4-8*x^2+1)/(x^4+8*x^2+1) ogf] A041108 7.28281 [-(x^7-7*x^6+8*x^5-55*x^4-63*x^3-55*x^2-8*x-7)/(x^8-126*x^4+1) ogf] A041109 8.07662 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^8-126*x^4+1) ogf] A041110 4.98297 [-(479934*f(x)+350771)*(f(x)*x^4-16*f(x)*x^2+x^3-7*x^2+f(x)-8*x-7) ogf] A041110 7.54214 [-(8+238*x+x^6-14*x^5-28*x^3-8*x^4+125*x^2)/(x^3-7*x^2-8*x-7)/(x^4-16*x^2+1) lgdogf] A041110 8.75794 [-(x^3-7*x^2-8*x-7)/(x^4-16*x^2+1) ogf] A041111 5.82759 [(7618*f(x)-161)*(f(x)*x^4-16*f(x)*x^2+x^2+f(x)-x-1) ogf] A041111 9.56590 [-(1+30*x+2*x^5-4*x^3-3*x^4+16*x^2)/(x^2-x-1)/(x^4-16*x^2+1) lgdogf] A041111 9.94707 [-(x^2-x-1)/(x^4-16*x^2+1) ogf] A041112 14.4518 [-(x+8)/(x^2+16*x-1) ogf] A041112 17.6547 [(-4-8*x+(16+65*x+65*x^2)^(1/2))/(x+1) revogf] A041112 19.2125 [-(129+16*x+x^2)/(x+8)/(x^2+16*x-1) lgdogf] A041112 7.82100 [{a(n+2)-16*a(n+1)-a(n),a(0)=8,a(1)=129} ogf] A041112 8.40323 [(2080*f(x)+1)*(f(x)*x^2+16*f(x)*x-f(x)+x+8) ogf] A041112 9.49693 [-(x^2+16*x+129)/(x^3+24*x^2+127*x-8) lgdogf] A041113 14.0744 [-(-2*x-16)/(-x^2-16*x+1) lgdogf] A041113 18.2090 [1/2/x*(-1-16*x+(1+32*x+260*x^2)^(1/2)) revogf] A041113 20.6977 [-1/(x^2+16*x-1) ogf] A041113 32.9497 [-2*(x+8)/(x^2-1+16*x) lgdogf] A041113 8.37763 [{-a(n+2)+16*a(n+1)+a(n),a(0)=1,a(1)=16} ogf] A041113 8.95315 [-(129*f(x)-1)*(f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A041114 4.78646 [-(2301912096*f(x)+215242433)*(f(x)*x^4-130*f(x)*x^2+x^3-8*x^2+f(x)-65*x-8) ogf] A041114 7.24377 [-(65+2096*x+x^6-16*x^5-32*x^3-65*x^4+8447*x^2)/(x^3-8*x^2-65*x-8)/(x^4-130*x^2+1) lgdogf] A041114 8.79863 [-(x^3-8*x^2-65*x-8)/(x^4-130*x^2+1) ogf] A041115 10.5800 [-(x^2-8*x-1)/(x^4-130*x^2+1) ogf] A041115 5.83384 [-(4359682*f(x)+259)*(f(x)*x^4-130*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A041115 9.42221 [-2*(4+129*x+520*x^2-2*x^3-12*x^4+x^5)/(x^2-8*x-1)/(x^4-130*x^2+1) lgdogf] A041118 10.9966 [-(x^3-8*x^2-33*x-8)/(x^2-8*x-1)/(x^2+8*x-1) ogf] A041118 6.03913 [-(153956896*f(x)+28714561)*(f(x)*x^4-66*f(x)*x^2+x^3-8*x^2+f(x)-33*x-8) ogf] A041118 8.14153 [-(33+1072*x+x^6-16*x^5-33*x^4-32*x^3+2175*x^2)/(x^2-8*x-1)/(x^2+8*x-1)/(x^3-8*x^2-33*x-8) lgdogf] A041119 11.7057 [-(x^2-4*x-1)/(x^2-8*x-1)/(x^2+8*x-1) ogf] A041119 6.65616 [(566018*f(x)-1981)*(f(x)*x^4-66*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041119 9.39084 [-2*(2+65*x+x^5-2*x^3-6*x^4+132*x^2)/(x^2+8*x-1)/(x^2-4*x-1)/(x^2-8*x-1) lgdogf] A041123 4.58170 [-(x^2-2*x-1)*(x^8+4*x^6+15*x^4+4*x^2+1)/(x^12-502*x^6+1) ogf] A041126 10.5188 [-(x+1)*(x^2-9*x-8)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A041126 5.87298 [-(10967328*f(x)+4068353)*(f(x)*x^4-34*f(x)*x^2+x^3-8*x^2+f(x)-17*x-8) ogf] A041126 8.05108 [-(17+560*x+x^6-16*x^5-17*x^4-32*x^3+575*x^2)/(x+1)/(1+6*x+x^2)/(x^2-6*x+1)/(x^2-9*x-8) lgdogf] A041127 10.1335 [-2*(x+1)*(x^4-4*x^3+2*x^2+32*x+1)/(1+6*x+x^2)/(x^2-6*x+1)/(x^2-2*x-1) lgdogf] A041127 12.2717 [-(x^2-2*x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A041127 6.84382 [-(76162*f(x)-749)*(f(x)*x^4-34*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041129 5.09526 [-(x^12-x^11+2*x^10-11*x^9+57*x^8-68*x^7+125*x^6+68*x^5+57*x^4+11*x^3+2*x^2+x+1)/(x^14+2136*x^7-1) ogf] A041130 6.49062 [-(x^9-8*x^8+9*x^7-17*x^6+26*x^5+43*x^4+26*x^3+17*x^2+9*x+8)/(x^10+86*x^5-1) ogf] A041131 7.38494 [-(x^4+2*x^3+4*x^2+3*x+1)*(x^4-3*x^3+4*x^2-2*x+1)/(x^10+86*x^5-1) ogf] A041132 7.80147 [-(x^7-8*x^6+9*x^5-17*x^4-26*x^3-17*x^2-9*x-8)/(x^8-52*x^4+1) ogf] A041133 8.42742 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-52*x^4+1) ogf] A041137 5.99800 [-(x^10-x^9+4*x^8-9*x^7+31*x^6-40*x^5-31*x^4-9*x^3-4*x^2-x-1)/(x^4-9*x^2+1)/(x^8+9*x^6+80*x^4+9*x^2+1) ogf] A041138 7.59335 [-(x^7-8*x^6+9*x^5-44*x^4-53*x^3-44*x^2-9*x-8)/(x^8-106*x^4+1) ogf] A041139 8.31219 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-106*x^4+1) ogf] A041140 7.50641 [-(x^7-8*x^6+9*x^5-71*x^4-80*x^3-71*x^2-9*x-8)/(x^8-160*x^4+1) ogf] A041141 7.59030 [-(x^2-x-1)*(x^4+9*x^2+1)/(x^8-160*x^4+1) ogf] A041142 11.0710 [(8*x^3-9*x^2+8*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A041142 6.16433 [-(175136*f(x)+128429)*(f(x)*x^4-18*f(x)*x^2+x^3-8*x^2+f(x)-9*x-8) ogf] A041142 8.25069 [-2*(-4-9*x-84*x^2+2*x^3+84*x^4-9*x^5+4*x^6)/(x^2+4*x-1)/(x^2-4*x-1)/(8*x^3-9*x^2+8*x+1) lgdogf] A041143 10.5888 [-(1+34*x+18*x^2-4*x^3-3*x^4+2*x^5)/(x^2+4*x-1)/(x^2-4*x-1)/(x^2-x-1) lgdogf] A041143 11.7712 [-x*(x^2-x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A041143 7.17809 [(10946*f(x)-217)*(f(x)*x^4-18*f(x)*x^2+x^2+f(x)-x-1) ogf] A041144 15.0802 [-(x+9)/(x^2+18*x-1) ogf] A041144 15.5029 [1/2/(x+1)*(-9-18*x+(81+328*x+328*x^2)^(1/2)) revogf] A041144 20.0626 [-(163+18*x+x^2)/(x+9)/(x^2+18*x-1) lgdogf] A041144 7.79426 [(2952*f(x)+1)*(f(x)*x^2+18*f(x)*x-f(x)+x+9) ogf] A041144 8.16105 [{a(n+2)-18*a(n+1)-a(n),a(0)=9,a(1)=163} ogf] A041144 9.90984 [-(x^2+18*x+163)/(x^3+27*x^2+161*x-9) lgdogf] A041145 12.7685 [1/2/x*(-18*x-1+(328*x^2+36*x+1)^(1/2)) revogf] A041145 14.5969 [-1/(x^2+18*x-1) ogf] A041145 23.1049 [-2*(9+x)/(x^2-1+18*x) lgdogf] A041145 5.6397 [-(163*f(x)-1)*(f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A041145 5.90826 [{-a(n+2)+18*a(n+1)+a(n),a(0)=1,a(1)=18} ogf] A041145 9.92588 [-(-2*x-18)/(-x^2-18*x+1) lgdogf] A041146 10.2622 [-(x^3-9*x^2-82*x-9)/(x^4-164*x^2+1) ogf] A041146 5.58266 [-(6549279174*f(x)+544650481)*(f(x)*x^4-164*f(x)*x^2+x^3-9*x^2+f(x)-82*x-9) ogf] A041146 8.36652 [-(82+2970*x+x^6-18*x^5-82*x^4-36*x^3+13445*x^2)/(x^3-9*x^2-82*x-9)/(x^4-164*x^2+1) lgdogf] A041147 10.8028 [-(9+326*x+2*x^5-27*x^4-4*x^3+1476*x^2)/(x^2-9*x-1)/(x^4-164*x^2+1) lgdogf] A041147 12.2876 [-(x^2-9*x-1)/(x^4-164*x^2+1) ogf] A041147 6.77539 [-(8767442*f(x)+327)*(f(x)*x^4-164*f(x)*x^2+x^2+f(x)-9*x-1) ogf] A041148 5.31435 [-(664615224*f(x)+82819085)*(f(x)*x^4-110*f(x)*x^2+x^3-9*x^2+f(x)-55*x-9) ogf] A041148 9.61274 [-(x^3-9*x^2-55*x-9)/(x^4-110*x^2+1) ogf] A041149 10.4382 [-2*(3+109*x+x^5-2*x^3-9*x^4+330*x^2)/(x^2-6*x-1)/(x^4-110*x^2+1) lgdogf] A041149 11.5259 [-(x^2-6*x-1)/(x^4-110*x^2+1) ogf] A041149 6.53876 [-(61334*f(x)-87)*(f(x)*x^4-110*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A041150 4.53685 [-(x^9-9*x^8+37*x^7-46*x^6+83*x^5+378*x^4+83*x^3+46*x^2+37*x+9)/(x^10+756*x^5-1) ogf] A041151 7.13594 [-(x^8-4*x^7+5*x^6-9*x^5+41*x^4+9*x^3+5*x^2+4*x+1)/(x^10+756*x^5-1) ogf] A041154 4.72084 [-(89976618*f(x)+22352383)*(f(x)*x^4-56*f(x)*x^2+x^3-9*x^2+f(x)-28*x-9) ogf] A041154 6.99305 [-(28+1026*x+1565*x^2-36*x^3-28*x^4-18*x^5+x^6)/(x^3-9*x^2-28*x-9)/(x^4-56*x^2+1) lgdogf] A041154 8.52569 [-(x^3-9*x^2-28*x-9)/(x^4-56*x^2+1) ogf] A041155 11.1866 [-(3+110*x+168*x^2-4*x^3-9*x^4+2*x^5)/(x^2-3*x-1)/(x^4-56*x^2+1) lgdogf] A041155 12.3642 [-(x^2-3*x-1)/(x^4-56*x^2+1) ogf] A041155 6.7653 [-(344738*f(x)-1905)*(f(x)*x^4-56*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041156 4.11301 [-(x^11-9*x^10+19*x^9-28*x^8+47*x^7-75*x^6-197*x^5-75*x^4-47*x^3-28*x^2-19*x-9)/(x^12-394*x^6+1) ogf] A041157 6.01959 [-(x^10-2*x^9+3*x^8-5*x^7+8*x^6-21*x^5-8*x^4-5*x^3-3*x^2-2*x-1)/(x^12-394*x^6+1) ogf] A041158 5.90550 [-(x^9-9*x^8+19*x^7-66*x^6+217*x^5+500*x^4+217*x^3+66*x^2+19*x+9)/(x^10+1000*x^5-1) ogf] A041159 6.54529 [-(x^8-2*x^7+7*x^6-23*x^5+53*x^4+23*x^3+7*x^2+2*x+1)/(x^10+1000*x^5-1) ogf] A041160 4.47852 [-(9603540*f(x)+3566831)*(f(x)*x^4-38*f(x)*x^2+x^3-9*x^2+f(x)-19*x-9) ogf] A041160 7.95439 [-(x+1)*(x^2-10*x-9)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A041161 5.30927 [(106706*f(x)-989)*(f(x)*x^4-38*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041161 7.59787 [-2*(x+1)*(x^4-4*x^3+2*x^2+36*x+1)/(x^2-6*x-1)/(x^2+6*x-1)/(x^2-2*x-1) lgdogf] A041161 9.24545 [-(x^2-2*x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A041170 5.17508 [-(x^7-9*x^6+10*x^5-29*x^4-39*x^3-29*x^2-10*x-9)/(x^8-78*x^4+1) ogf] A041171 9.14544 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-78*x^4+1) ogf] A041172 5.20552 [-(x^7-9*x^6+10*x^5-39*x^4-49*x^3-39*x^2-10*x-9)/(x^4+10*x^2+1)/(x^4-10*x^2+1) ogf] A041173 8.60532 [-(x^2-x-1)*(x^4+5*x^2+1)/(x^4+10*x^2+1)/(x^4-10*x^2+1) ogf] A041176 5.40932 [-(x^7-9*x^6+10*x^5-89*x^4-99*x^3-89*x^2-10*x-9)/(x^4+14*x^2-1)/(x^4-14*x^2-1) ogf] A041177 8.45454 [-(x^2-x-1)*(x^4+10*x^2+1)/(x^4+14*x^2-1)/(x^4-14*x^2-1) ogf] A041178 11.0995 [-(x^3-9*x^2-10*x-9)/(x^4-20*x^2+1) ogf] A041178 6.24928 [-(1497078*f(x)+1100665)*(f(x)*x^4-20*f(x)*x^2+x^3-9*x^2+f(x)-10*x-9) ogf] A041178 9.37117 [-(10+378*x+x^6-18*x^5-36*x^3-10*x^4+197*x^2)/(x^3-9*x^2-10*x-9)/(x^4-20*x^2+1) lgdogf] A041179 12.2754 [-(1+38*x+2*x^5-3*x^4-4*x^3+20*x^2)/(x^2-x-1)/(x^4-20*x^2+1) lgdogf] A041179 12.7090 [-(x^2-x-1)/(x^4-20*x^2+1) ogf] A041179 7.37123 [(15122*f(x)-281)*(f(x)*x^4-20*f(x)*x^2+x^2+f(x)-x-1) ogf] A041180 11.7983 [-(x+10)/(x^2+20*x-1) ogf] A041180 13.5857 [(-5-10*x+(25+101*x+101*x^2)^(1/2))/(x+1) revogf] A041180 15.5265 [-(201+20*x+x^2)/(x+10)/(x^2+20*x-1) lgdogf] A041180 6.16131 [(4040*f(x)+1)*(f(x)*x^2+20*f(x)*x-f(x)+x+10) ogf] A041180 6.44788 [{a(n+2)-20*a(n+1)-a(n),a(0)=10,a(1)=201} ogf] A041180 7.81011 [-(x^2+20*x+201)/(x^3+30*x^2+199*x-10) lgdogf] A041181 11.6728 [-(-2*x-20)/(-x^2-20*x+1) lgdogf] A041181 15.0607 [1/2/x*(-20*x-1+(404*x^2+40*x+1)^(1/2)) revogf] A041181 17.1659 [-1/(x^2+20*x-1) ogf] A041181 26.0140 [-2*(10+x)/(x^2-1+20*x) lgdogf] A041181 6.63229 [-(201*f(x)-1)*(f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A041181 6.94811 [{-a(n+2)+20*a(n+1)+a(n),a(0)=1,a(1)=20} ogf] A041182 3.8603 [-(16730450040*f(x)+1252692701)*(f(x)*x^4-202*f(x)*x^2+x^3-10*x^2+f(x)-101*x-10) ogf] A041182 7.06815 [-(x^3-10*x^2-101*x-10)/(x^4-202*x^2+1) ogf] A041183 11.1889 [-(x^2-10*x-1)/(x^4-202*x^2+1) ogf] A041183 6.15901 [-(16402402*f(x)+403)*(f(x)*x^4-202*f(x)*x^2+x^2+f(x)-10*x-1) ogf] A041183 9.84410 [-2*(5+201*x+x^5-2*x^3-15*x^4+1010*x^2)/(x^2-10*x-1)/(x^4-202*x^2+1) lgdogf] A041186 5.14697 [-(1092625040*f(x)+163342501)*(f(x)*x^4-102*f(x)*x^2+x^3-10*x^2+f(x)-51*x-10) ogf] A041186 6.90202 [-(51+2060*x+x^6-51*x^4-40*x^3-20*x^5+5199*x^2)/(x^2+10*x-1)/(x^2-10*x-1)/(x^3-10*x^2-51*x-10) lgdogf] A041186 9.33809 [-(x^3-10*x^2-51*x-10)/(x^2+10*x-1)/(x^2-10*x-1) ogf] A041187 11.3228 [-(x^2-5*x-1)/(x^2+10*x-1)/(x^2-10*x-1) ogf] A041187 6.18563 [-(2101202*f(x)-4897)*(f(x)*x^4-102*f(x)*x^2+x^2+f(x)-5*x-1) ogf] A041187 8.74753 [-(5+202*x+2*x^5-15*x^4-4*x^3+510*x^2)/(x^2+10*x-1)/(x^2-10*x-1)/(x^2-5*x-1) lgdogf] A041188 4.47541 [-(457364040*f(x)+85393661)*(f(x)*x^4-82*f(x)*x^2+x^3-10*x^2+f(x)-41*x-10) ogf] A041188 6.62670 [-(41+1660*x+x^6+3359*x^2-40*x^3-41*x^4-20*x^5)/(x^3-10*x^2-41*x-10)/(x^4-82*x^2+1) lgdogf] A041188 8.04277 [-(x^3-10*x^2-41*x-10)/(x^4-82*x^2+1) ogf] A041189 10.0019 [-2*(2+81*x+164*x^2-2*x^3-6*x^4+x^5)/(x^2-4*x-1)/(x^4-82*x^2+1) lgdogf] A041189 10.8983 [-(x^2-4*x-1)/(x^4-82*x^2+1) ogf] A041189 6.02 [-(155566*f(x)-539)*(f(x)*x^4-82*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041198 10.7514 [-(x+1)*(x^2-11*x-10)/(x^4-42*x^2+1) ogf] A041198 6.0313 [-(31786040*f(x)+11817181)*(f(x)*x^4-42*f(x)*x^2+x^3-10*x^2+f(x)-21*x-10) ogf] A041198 9.23399 [-(21+860*x+x^6-20*x^5-40*x^3-21*x^4+879*x^2)/(1+x)/(x^2-11*x-10)/(x^4-42*x^2+1) lgdogf] A041199 11.0247 [-2*(x+1)*(x^4-4*x^3+2*x^2+40*x+1)/(x^2-2*x-1)/(x^4-42*x^2+1) lgdogf] A041199 11.6181 [-(x^2-2*x-1)/(x^4-42*x^2+1) ogf] A041199 6.80654 [(11114*f(x)-97)*(f(x)*x^4-42*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041201 4.53628 [-(x^2-2*x-1)*(x^4-x^3+2*x^2+x+1)*(x^4+2*x^3+5*x^2-2*x+1)/(x^12-590*x^6+1) ogf] A041202 3.85825 [-(x^11-10*x^10+11*x^9-21*x^8+53*x^7-74*x^6-127*x^5-74*x^4-53*x^3-21*x^2-11*x-10)/(x^6+16*x^3+1)/(x^6-16*x^3+1) ogf] A041203 4.86607 [-(x^6-6*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^6+16*x^3+1)/(x^6-16*x^3+1) ogf] A041216 5.35970 [-(x^7-10*x^6+11*x^5-109*x^4-120*x^3-109*x^2-11*x-10)/(x^8-240*x^4+1) ogf] A041217 8.55516 [-(x^2-x-1)*(x^4+11*x^2+1)/(x^8-240*x^4+1) ogf] A041218 4.38219 [-(2429040*f(x)+1789541)*(f(x)*x^4-22*f(x)*x^2+x^3-10*x^2+f(x)-11*x-10) ogf] A041218 6.47827 [-(11+460*x+x^6-20*x^5-11*x^4-40*x^3+239*x^2)/(x^3-10*x^2-11*x-10)/(x^4-22*x^2+1) lgdogf] A041218 7.68470 [-(x^3-10*x^2-11*x-10)/(x^4-22*x^2+1) ogf] A041219 12.7118 [-(1+42*x+2*x^5-3*x^4-4*x^3+22*x^2)/(x^2-x-1)/(x^4-22*x^2+1) lgdogf] A041219 13.1530 [-(x^2-x-1)/(x^4-22*x^2+1) ogf] A041219 6.52030 [-(-2*x^5+3*x^4+4*x^3-22*x^2-42*x-1)/(-x^6+x^5+23*x^4-22*x^3-23*x^2+x+1) lgdogf] A041219 7.62874 [(20242*f(x)-353)*(f(x)*x^4-22*f(x)*x^2+x^2+f(x)-x-1) ogf] A041220 13.8646 [-(x+11)/(x^2+22*x-1) ogf] A041220 13.9197 [1/2/(x+1)*(-11-22*x+(121+488*x+488*x^2)^(1/2)) revogf] A041220 18.2944 [-(243+22*x+x^2)/(x+11)/(x^2+22*x-1) lgdogf] A041220 7.24043 [(5368*f(x)+1)*(f(x)*x^2+22*f(x)*x-f(x)+x+11) ogf] A041220 7.57719 [{a(n+2)-22*a(n+1)-a(n),a(0)=11,a(1)=243} ogf] A041220 9.17800 [-(x^2+22*x+243)/(x^3+33*x^2+241*x-11) lgdogf] A041221 13.7004 [-(-2*x-22)/(-x^2-22*x+1) lgdogf] A041221 17.7225 [1/2/x*(-22*x-1+(488*x^2+44*x+1)^(1/2)) revogf] A041221 20.1476 [-1/(x^2+22*x-1) ogf] A041221 30.6116 [-2*(x+11)/(x^2-1+22*x) lgdogf] A041221 7.7843 [-(243*f(x)-1)*(f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A041221 8.15498 [{-a(n+2)+22*a(n+1)+a(n),a(0)=1,a(1)=22} ogf] A041222 5.13597 [-(39147055266*f(x)+2665441241)*(f(x)*x^4-244*f(x)*x^2+x^3-11*x^2+f(x)-122*x-11) ogf] A041222 9.40387 [-(x^3-11*x^2-122*x-11)/(x^4-244*x^2+1) ogf] A041223 10.0024 [-(11+486*x+2*x^5-33*x^4-4*x^3+2684*x^2)/(x^2-11*x-1)/(x^4-244*x^2+1) lgdogf] A041223 11.5324 [-(x^2-11*x-1)/(x^4-244*x^2+1) ogf] A041223 6.3481 [-(28933522*f(x)+487)*(f(x)*x^4-244*f(x)*x^2+x^2+f(x)-11*x-1) ogf] A041226 5.66629 [-(x^9-11*x^8+56*x^7-67*x^6+123*x^5+682*x^4+123*x^3+67*x^2+56*x+11)/(x^2+4*x-1)/(x^4+3*x^3+19*x^2+7*x+1)/(x^4-7*x^3+19*x^2-3*x+1) ogf] A041227 6.35154 [-(x^8-5*x^7+6*x^6-11*x^5+61*x^4+11*x^3+6*x^2+5*x+1)/(x^2+4*x-1)/(x^4+3*x^3+19*x^2+7*x+1)/(x^4-7*x^3+19*x^2-3*x+1) ogf] A041228 6.23880 [-(x^7-11*x^6+45*x^5-101*x^4-449*x^3-101*x^2-45*x-11)/(x^4-30*x^2+1)/(x^4+30*x^2+1) ogf] A041229 8.01422 [-(x^2-4*x-1)*(x^4+10*x^2+1)/(x^4-30*x^2+1)/(x^4+30*x^2+1) ogf] A041232 4.73787 [-(x^7-11*x^6+34*x^5-181*x^4-577*x^3-181*x^2-34*x-11)/(x^2+6*x+1)/(x^2-6*x+1)/(x^4+34*x^2+1) ogf] A041233 7.42616 [-(x^2-3*x-1)*(x^4+17*x^2+1)/(x^2+6*x+1)/(x^2-6*x+1)/(x^4+34*x^2+1) ogf] A041236 8.12377 [-(x^5-11*x^4+23*x^3+57*x^2+23*x+11)/(x^6+114*x^3-1) ogf] A041237 9.36465 [-(x^4-2*x^3+5*x^2+2*x+1)/(x^6+114*x^3-1) ogf] A041240 10.0602 [-(x+1)*(x^2-12*x-11)/(x^4-46*x^2+1) ogf] A041240 5.68976 [-(25114056*f(x)+9344209)*(f(x)*x^4-46*f(x)*x^2+x^3-11*x^2+f(x)-23*x-11) ogf] A041240 8.41941 [-(23+1034*x+x^6+1055*x^2-44*x^3-23*x^4-22*x^5)/(x+1)/(x^2-12*x-11)/(x^4-46*x^2+1) lgdogf] A041241 11.1277 [-2*(1+x)*(x^4-4*x^3+2*x^2+44*x+1)/(x^2-2*x-1)/(x^4-46*x^2+1) lgdogf] A041241 11.7246 [-(x^2-2*x-1)/(x^4-46*x^2+1) ogf] A041241 6.66695 [(190258*f(x)-1565)*(f(x)*x^4-46*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041247 4.83799 [-(x^2-x-1)*(x^4+3*x^2+1)*(x^8+7*x^4+1)/(x^16-488*x^8+1) ogf] A041248 6.96834 [-(x^7-11*x^6+12*x^5-23*x^4-35*x^3-23*x^2-12*x-11)/(x^8-70*x^4+1) ogf] A041249 8.26859 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-70*x^4+1) ogf] A041252 7.28224 [-(x^7-11*x^6+12*x^5-35*x^4-47*x^3-35*x^2-12*x-11)/(x^8-94*x^4+1) ogf] A041253 8.60532 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-94*x^4+1) ogf] A041256 5.13229 [-(x^7-11*x^6+12*x^5-59*x^4-71*x^3-59*x^2-12*x-11)/(x^4+12*x^2+1)/(x^4-12*x^2+1) ogf] A041257 6.25133 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^4+12*x^2+1)/(x^4-12*x^2+1) ogf] A041258 5.33642 [-(x^7-11*x^6+12*x^5-83*x^4-95*x^3-83*x^2-12*x-11)/(x^8-190*x^4+1) ogf] A041259 7.80512 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^8-190*x^4+1) ogf] A041260 5.47313 [-(x^7-11*x^6+12*x^5-131*x^4-143*x^3-131*x^2-12*x-11)/(x^8-286*x^4+1) ogf] A041261 8.00661 [-(x^2-x-1)*(x^4+12*x^2+1)/(x^8-286*x^4+1) ogf] A041262 4.4317 [-(3775486*f(x)+2786191)*(f(x)*x^4-24*f(x)*x^2+x^3-11*x^2+f(x)-12*x-11) ogf] A041262 6.55316 [-(12+550*x+x^6-22*x^5-12*x^4-44*x^3+285*x^2)/(x^3-11*x^2-12*x-11)/(x^4-24*x^2+1) lgdogf] A041262 7.77154 [-(x^3-11*x^2-12*x-11)/(x^4-24*x^2+1) ogf] A041263 11.7965 [-(1+46*x+2*x^5-3*x^4-4*x^3+24*x^2)/(x^2-x-1)/(x^4-24*x^2+1) lgdogf] A041263 12.2191 [-(x^2-x-1)/(x^4-24*x^2+1) ogf] A041263 7.08706 [(26402*f(x)-433)*(f(x)*x^4-24*f(x)*x^2+x^2+f(x)-x-1) ogf] A041264 14.1660 [-(x+12)/(x^2+24*x-1) ogf] A041264 16.3618 [(-6-12*x+(36+145*x+145*x^2)^(1/2))/(x+1) revogf] A041264 18.6992 [-(289+24*x+x^2)/(x+12)/(x^2+24*x-1) lgdogf] A041264 7.39783 [(6960*f(x)+1)*(f(x)*x^2+24*f(x)*x-f(x)+x+12) ogf] A041264 7.74191 [{a(n+2)-24*a(n+1)-a(n),a(0)=12,a(1)=289} ogf] A041264 9.37752 [-(x^2+24*x+289)/(x^3+36*x^2+287*x-12) lgdogf] A041265 12.2961 [-(-2*x-24)/(-x^2-24*x+1) lgdogf] A041265 15.8809 [1/2/x*(-24*x-1+(580*x^2+48*x+1)^(1/2)) revogf] A041265 18.0826 [-1/(x^2+24*x-1) ogf] A041265 27.4306 [-2*(12+x)/(x^2-1+24*x) lgdogf] A041265 6.98645 [-(289*f(x)-1)*(f(x)*x^2+24*f(x)*x-f(x)+1) ogf] A041265 7.31913 [{-a(n+2)+24*a(n+1)+a(n),a(0)=1,a(1)=24} ogf] A041266 5.26937 [-(85162340784*f(x)+5316486193)*(f(x)*x^4-290*f(x)*x^2+x^3-12*x^2+f(x)-145*x-12) ogf] A041266 9.64814 [-(x^3-12*x^2-145*x-12)/(x^4-290*x^2+1) ogf] A041267 10.4535 [-(x^2-12*x-1)/(x^4-290*x^2+1) ogf] A041267 5.75423 [-(48608642*f(x)+579)*(f(x)*x^4-290*f(x)*x^2+x^2+f(x)-12*x-1) ogf] A041267 9.18879 [-2*(6+289*x+x^5-18*x^4-2*x^3+1740*x^2)/(x^2-12*x-1)/(x^4-290*x^2+1) lgdogf] A041268 4.99653 [-(17083425072*f(x)+1598781553)*(f(x)*x^4-194*f(x)*x^2+x^3-12*x^2+f(x)-97*x-12) ogf] A041268 9.20790 [-(x^3-12*x^2-97*x-12)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A041269 11.2787 [-(x^2-8*x-1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A041269 6.04948 [-(14526722*f(x)-12029)*(f(x)*x^4-194*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A041269 8.71554 [-2*(4+193*x-2*x^3+776*x^2-12*x^4+x^5)/(x^2-14*x+1)/(x^2+14*x+1)/(x^2-8*x-1) lgdogf] A041270 4.30559 [-(5488779504*f(x)+684498961)*(f(x)*x^4-146*f(x)*x^2+x^3-12*x^2+f(x)-73*x-12) ogf] A041270 5.69656 [-(73+3528*x+10655*x^2-48*x^3-73*x^4-24*x^5+x^6)/(x^2-12*x-1)/(x^2+12*x-1)/(x^3-12*x^2-73*x-12) lgdogf] A041270 7.81157 [-(x^3-12*x^2-73*x-12)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A041271 11.9829 [-(x^2-6*x-1)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A041271 6.48617 [-(6181058*f(x)-10221)*(f(x)*x^4-146*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A041271 9.39202 [-2*(3+145*x+438*x^2-2*x^3-9*x^4+x^5)/(x^2-12*x-1)/(x^2-6*x-1)/(x^2+12*x-1) lgdogf] A041274 4.6852 [-(223534320*f(x)+41765309)*(f(x)*x^4-98*f(x)*x^2+x^3-12*x^2+f(x)-49*x-12) ogf] A041274 6.25717 [-(49+2376*x+x^6-49*x^4-48*x^3-24*x^5+4799*x^2)/(x+3)/(x^2-10*x+1)/(x^2+10*x+1)/(x^2-15*x-4) lgdogf] A041274 8.41977 [-(x+3)*(x^2-15*x-4)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A041275 5.33852 [-(1862786*f(x)-6077)*(f(x)*x^4-98*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041275 7.66361 [-2*(2+97*x+196*x^2-2*x^3-6*x^4+x^5)/(x^2-10*x+1)/(x^2+10*x+1)/(x^2-4*x-1) lgdogf] A041275 9.84864 [-(x^2-4*x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A041278 5.50828 [-(364436112*f(x)+90679393)*(f(x)*x^4-74*f(x)*x^2+x^3-12*x^2+f(x)-37*x-12) ogf] A041278 8.18346 [-(37+1800*x+2735*x^2-48*x^3-37*x^4-24*x^5+x^6)/(x^3-12*x^2-37*x-12)/(x^4-74*x^2+1) lgdogf] A041278 9.89893 [-(x^3-12*x^2-37*x-12)/(x^4-74*x^2+1) ogf] A041279 10.7283 [-(3+146*x+2*x^5-4*x^3-9*x^4+222*x^2)/(x^2-3*x-1)/(x^4-74*x^2+1) lgdogf] A041279 11.8631 [-(x^2-3*x-1)/(x^4-74*x^2+1) ogf] A041279 6.74571 [(799202*f(x)-3849)*(f(x)*x^4-74*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041284 4.86462 [-(x+1)*(x^6-13*x^5+38*x^4-150*x^3-99*x^2-13*x-12)/(x^8-498*x^4+1) ogf] A041285 8.18715 [-(x^2-2*x-1)*(x^4+10*x^2+1)/(x^8-498*x^4+1) ogf] A041286 4.5962 [-(76378224*f(x)+28437073)*(f(x)*x^4-50*f(x)*x^2+x^3-12*x^2+f(x)-25*x-12) ogf] A041286 6.83401 [-(25+1224*x+x^6+1247*x^2-48*x^3-25*x^4-24*x^5)/(x+1)/(x^2-13*x-12)/(x^4-50*x^2+1) lgdogf] A041286 8.19322 [-(x+1)*(x^2-13*x-12)/(x^4-50*x^2+1) ogf] A041287 11.4884 [-2*(x+1)*(x^4-4*x^3+2*x^2+48*x+1)/(x^2-2*x-1)/(x^4-50*x^2+1) lgdogf] A041287 12.0977 [-(x^2-2*x-1)/(x^4-50*x^2+1) ogf] A041287 6.6195 [-(244802*f(x)-1901)*(f(x)*x^4-50*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041293 3.72136 [-(165459*x^15+1228670*x^10-53423*x^5-5294)/(x^2+x-1)/(1278984*x^15+14018510*x^10-483*x^5-5294) ogf] A041303 5.54363 [-(x^10-x^9+5*x^8-31*x^7+129*x^6-160*x^5-129*x^4-31*x^3-5*x^2-x-1)/(x^6-64*x^3-1)/(x^6+64*x^3-1) ogf] A041304 4.76479 [-(x^11-12*x^10+13*x^9-77*x^8+167*x^7-912*x^6-1079*x^5-912*x^4-167*x^3-77*x^2-13*x-12)/(x^4-13*x^2+1)/(x^8+13*x^6+168*x^4+13*x^2+1) ogf] A041305 5.27265 [-(x^10-x^9+6*x^8-13*x^7+71*x^6-84*x^5-71*x^4-13*x^3-6*x^2-x-1)/(x^4-13*x^2+1)/(x^8+13*x^6+168*x^4+13*x^2+1) ogf] A041308 6.73514 [-(x^7-12*x^6+13*x^5-155*x^4-168*x^3-155*x^2-13*x-12)/(x^8-336*x^4+1) ogf] A041309 7.67052 [-(x^2-x-1)*(x^4+13*x^2+1)/(x^8-336*x^4+1) ogf] A041310 10.6334 [-(x^3-12*x^2-13*x-12)/(x^4-26*x^2+1) ogf] A041310 6.06368 [-(5661264*f(x)+4183681)*(f(x)*x^4-26*f(x)*x^2+x^3-12*x^2+f(x)-13*x-12) ogf] A041310 9.01453 [-(13+648*x+x^6-24*x^5-13*x^4-48*x^3+335*x^2)/(x^3-12*x^2-13*x-12)/(x^4-26*x^2+1) lgdogf] A041311 12.0120 [-(1+50*x+2*x^5-3*x^4-4*x^3+26*x^2)/(x^2-x-1)/(x^4-26*x^2+1) lgdogf] A041311 12.4382 [-(x^2-x-1)/(x^4-26*x^2+1) ogf] A041311 7.21418 [(33698*f(x)-521)*(f(x)*x^4-26*f(x)*x^2+x^2+f(x)-x-1) ogf] A041312 14.4674 [-(x+13)/(x^2+26*x-1) ogf] A041312 14.5356 [1/2/(x+1)*(-13-26*x+(169+680*x+680*x^2)^(1/2)) revogf] A041312 19.1039 [-(339+26*x+x^2)/(x+13)/(x^2+26*x-1) lgdogf] A041312 7.55524 [(8840*f(x)+1)*(f(x)*x^2+26*f(x)*x-f(x)+x+13) ogf] A041312 7.90663 [{a(n+2)-26*a(n+1)-a(n),a(0)=13,a(1)=339} ogf] A041312 9.57704 [-(x^2+26*x+339)/(x^3+39*x^2+337*x-13) lgdogf] A041313 12.5228 [-(-2*x-26)/(-x^2-26*x+1) lgdogf] A041313 16.1791 [1/2/x*(-26*x-1+(680*x^2+52*x+1)^(1/2)) revogf] A041313 18.4159 [-1/(x^2+26*x-1) ogf] A041313 27.9458 [-2*(13+x)/(x^2-1+26*x) lgdogf] A041313 7.11523 [-(339*f(x)-1)*(f(x)*x^2+26*f(x)*x-f(x)+1) ogf] A041313 7.45404 [{-a(n+2)+26*a(n+1)+a(n),a(0)=1,a(1)=26} ogf] A041314 5.29901 [-(174228607566*f(x)+10041737993)*(f(x)*x^4-340*f(x)*x^2+x^3-13*x^2+f(x)-170*x-13) ogf] A041314 9.85169 [-(x^3-13*x^2-170*x-13)/(x^4-340*x^2+1) ogf] A041315 10.7907 [-(x^2-13*x-1)/(x^4-340*x^2+1) ogf] A041315 5.93985 [-(78375442*f(x)+679)*(f(x)*x^4-340*f(x)*x^2+x^2+f(x)-13*x-1) ogf] A041315 9.35120 [-(13+678*x+2*x^5-39*x^4-4*x^3+4420*x^2)/(x^2-13*x-1)/(x^4-340*x^2+1) lgdogf] A041318 5.42681 [-(x^9-13*x^8+79*x^7-92*x^6+171*x^5+1118*x^4+171*x^3+92*x^2+79*x+13)/(x^10+2236*x^5-1) ogf] A041319 6.66768 [-(x^8-6*x^7+7*x^6-13*x^5+85*x^4+13*x^3+7*x^2+6*x+1)/(x^10+2236*x^5-1) ogf] A041320 6.44560 [-(x^7-13*x^6+66*x^5-277*x^4-1451*x^3-277*x^2-66*x-13)/(x^8-2902*x^4+1) ogf] A041321 7.43781 [-(x^2-5*x-1)*(x^4+22*x^2+1)/(x^8-2902*x^4+1) ogf] A041322 4.97463 [-(x^11-13*x^10+53*x^9-119*x^8+172*x^7-463*x^6-2024*x^5-463*x^4-172*x^3-119*x^2-53*x-13)/(x^4-16*x^2+1)/(x^8+16*x^6+255*x^4+16*x^2+1) ogf] A041323 5.62763 [-(x^10-4*x^9+9*x^8-13*x^7+35*x^6-153*x^5-35*x^4-13*x^3-9*x^2-4*x-1)/(x^4-16*x^2+1)/(x^8+16*x^6+255*x^4+16*x^2+1) ogf] A041324 6.41750 [-(x^7-13*x^6+40*x^5-53*x^4-199*x^3-53*x^2-40*x-13)/(x^4+20*x^2+1)/(x^4-20*x^2+1) ogf] A041325 7.90725 [-(x^2-3*x-1)*(x^4+5*x^2+1)/(x^4+20*x^2+1)/(x^4-20*x^2+1) ogf] A041328 4.95538 [-(x^11-13*x^10+27*x^9-40*x^8+507*x^7-547*x^6-1601*x^5-547*x^4-507*x^3-40*x^2-27*x-13)/(x^12-3202*x^6+1) ogf] A041329 5.50421 [-(x^10-2*x^9+3*x^8-38*x^7+41*x^6-120*x^5-41*x^4-38*x^3-3*x^2-2*x-1)/(x^12-3202*x^6+1) ogf] A041332 6.77192 [-(x+1)*(x^6-14*x^5+41*x^4-108*x^3-53*x^2-14*x-13)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A041333 7.73230 [-(x^2-2*x-1)*(x^4+6*x^2+1)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A041336 10.3690 [-(x+1)*(x^2-14*x-13)/(x^4-54*x^2+1) ogf] A041336 5.81677 [-(56216524*f(x)+20942279)*(f(x)*x^4-54*f(x)*x^2+x^3-13*x^2+f(x)-27*x-13) ogf] A041336 8.68252 [-(27+1430*x+1455*x^2-52*x^3-27*x^4-26*x^5+x^6)/(x+1)/(x^2-14*x-13)/(x^4-54*x^2+1) lgdogf] A041337 11.6429 [-2*(x+1)*(x^4-4*x^3+2*x^2+52*x+1)/(x^2-2*x-1)/(x^4-54*x^2+1) lgdogf] A041337 12.2576 [-(x^2-2*x-1)/(x^4-54*x^2+1) ogf] A041337 6.70698 [-(308882*f(x)-2269)*(f(x)*x^4-54*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041338 4.88715 [-(x^11-13*x^10+14*x^9-27*x^8+230*x^7-257*x^6-487*x^5-257*x^4-230*x^3-27*x^2-14*x-13)/(x^12-974*x^6+1) ogf] A041339 5.63911 [-(x^6-18*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-974*x^6+1) ogf] A041342 5.94465 [-(x^9-13*x^8+14*x^7-27*x^6+41*x^5+68*x^4+41*x^3+27*x^2+14*x+13)/(x^10+136*x^5-1) ogf] A041343 6.86539 [-(x^4+2*x^3+4*x^2+3*x+1)*(x^4-3*x^3+4*x^2-2*x+1)/(x^10+136*x^5-1) ogf] A041346 4.93283 [-(x^11-13*x^10+14*x^9-41*x^8+547*x^7-1135*x^6-1682*x^5-1135*x^4-547*x^3-41*x^2-14*x-13)/(x^12-3364*x^6+1) ogf] A041347 5.55358 [-(x^10-x^9+3*x^8-40*x^7+83*x^6-123*x^5-83*x^4-40*x^3-3*x^2-x-1)/(x^12-3364*x^6+1) ogf] A041350 6.91577 [-(x^7-13*x^6+14*x^5-41*x^4-55*x^3-41*x^2-14*x-13)/(x^8-110*x^4+1) ogf] A041351 8.31219 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-110*x^4+1) ogf] A041356 6.98436 [-(x^7-13*x^6+14*x^5-83*x^4-97*x^3-83*x^2-14*x-13)/(x^2-4*x+1)/(x^2+4*x+1)/(x^4+14*x^2+1) ogf] A041357 7.76932 [-(x^2-x-1)*(x^4+7*x^2+1)/(x^2-4*x+1)/(x^2+4*x+1)/(x^4+14*x^2+1) ogf] A041360 6.91007 [-(x^7-13*x^6+14*x^5-181*x^4-195*x^3-181*x^2-14*x-13)/(x^8-390*x^4+1) ogf] A041361 7.73901 [-(x^2-x-1)*(x^4+14*x^2+1)/(x^8-390*x^4+1) ogf] A041362 10.9061 [-(x^3-13*x^2-14*x-13)/(x^4-28*x^2+1) ogf] A041362 6.21916 [-(1646814*f(x)+1218433)*(f(x)*x^4-28*f(x)*x^2+x^3-13*x^2+f(x)-14*x-13) ogf] A041362 9.24970 [-(14+754*x+x^6-26*x^5-14*x^4-52*x^3+389*x^2)/(x^3-13*x^2-14*x-13)/(x^4-28*x^2+1) lgdogf] A041363 12.6574 [-(x^2-x-1)/(x^4-28*x^2+1) ogf] A041363 7.3413 [(42226*f(x)-617)*(f(x)*x^4-28*f(x)*x^2+x^2+f(x)-x-1) ogf] A041364 14.7689 [-(x+14)/(x^2+28*x-1) ogf] A041364 17.0701 [(-7-14*x+(49+197*x+197*x^2)^(1/2))/(x+1) revogf] A041364 19.5087 [-(393+28*x+x^2)/(x+14)/(x^2+28*x-1) lgdogf] A041364 7.62788 [(11032*f(x)+1)*(f(x)*x^2+28*f(x)*x-f(x)+x+14) ogf] A041364 8.07135 [{a(n+2)-28*a(n+1)-a(n),a(0)=14,a(1)=393} ogf] A041364 9.77656 [-(x^2+28*x+393)/(x^3+42*x^2+391*x-14) lgdogf] A041365 11.1458 [-(-2*x-28)/(-x^2-28*x+1) lgdogf] A041365 14.3737 [1/2/x*(-28*x-1+(788*x^2+56*x+1)^(1/2)) revogf] A041365 16.3909 [-1/(x^2+28*x-1) ogf] A041365 24.8273 [-2*(14+x)/(x^2-1+28*x) lgdogf] A041365 6.33284 [-(393*f(x)-1)*(f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A041365 6.63442 [{-a(n+2)+28*a(n+1)+a(n),a(0)=1,a(1)=28} ogf] A041366 4.78641 [-(338222591784*f(x)+18103660541)*(f(x)*x^4-394*f(x)*x^2+x^3-14*x^2+f(x)-197*x-14) ogf] A041366 8.89868 [-(x^3-14*x^2-197*x-14)/(x^4-394*x^2+1) ogf] A041367 10.9352 [-(x^2-14*x-1)/(x^4-394*x^2+1) ogf] A041367 5.96468 [-(122013922*f(x)+787)*(f(x)*x^4-394*f(x)*x^2+x^2+f(x)-14*x-1) ogf] A041367 9.62019 [-2*(7+393*x-2*x^3+2758*x^2-21*x^4+x^5)/(x^2-14*x-1)/(x^4-394*x^2+1) lgdogf] A041370 5.01894 [-(21623820400*f(x)+2312878597)*(f(x)*x^4-198*f(x)*x^2+x^3-14*x^2+f(x)-99*x-14) ogf] A041370 9.24919 [-(x^3-14*x^2-99*x-14)/(x^2+14*x-1)/(x^2-14*x-1) ogf] A041371 11.2787 [-(x^2-7*x-1)/(x^2+14*x-1)/(x^2-14*x-1) ogf] A041371 6.04948 [-(15445586*f(x)-19009)*(f(x)*x^4-198*f(x)*x^2+x^2+f(x)-7*x-1) ogf] A041371 8.60086 [-(7+394*x-4*x^3+1386*x^2-21*x^4+2*x^5)/(x^2-14*x-1)/(x^2-7*x-1)/(x^2+14*x-1) lgdogf] A041376 5.23971 [-(2384553304*f(x)+445757341)*(f(x)*x^4-114*f(x)*x^2+x^3-14*x^2+f(x)-57*x-14) ogf] A041376 7.87549 [-(57+3220*x+x^6-28*x^5-56*x^3-57*x^4+6495*x^2)/(x^3-14*x^2-57*x-14)/(x^4-114*x^2+1) lgdogf] A041376 9.50633 [-(x^3-14*x^2-57*x-14)/(x^4-114*x^2+1) ogf] A041377 10.3914 [-2*(2+113*x+x^5-2*x^3-6*x^4+228*x^2)/(x^2-4*x-1)/(x^4-114*x^2+1) lgdogf] A041377 11.4752 [-(x^2-4*x-1)/(x^4-114*x^2+1) ogf] A041377 6.26885 [-(2936642*f(x)-8893)*(f(x)*x^4-114*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041387 5.88947 [-(x^6-9*x^3-1)*(x^4-2*x^3+5*x^2+2*x+1)/(x^2+3*x-1)/(x^2-3*x-1)/(x^4-3*x^3+10*x^2+3*x+1)/(x^4+3*x^3+10*x^2-3*x+1) ogf] A041390 10.5014 [-(x+1)*(x^2-15*x-14)/(x^4-58*x^2+1) ogf] A041390 5.84352 [-(160971720*f(x)+59995517)*(f(x)*x^4-58*f(x)*x^2+x^3-14*x^2+f(x)-29*x-14) ogf] A041390 8.79528 [-(29+1652*x+1679*x^2-56*x^3-29*x^4-28*x^5+x^6)/(x+1)/(x^2-15*x-14)/(x^4-58*x^2+1) lgdogf] A041391 10.7066 [-2*(x+1)*(x^4-4*x^3+2*x^2+56*x+1)/(x^2-2*x-1)/(x^4-58*x^2+1) lgdogf] A041391 11.2857 [-(x^2-2*x-1)/(x^4-58*x^2+1) ogf] A041391 6.17521 [-(383266*f(x)-2669)*(f(x)*x^4-58*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041400 7.31363 [-(x^7-14*x^6+15*x^5-29*x^4-44*x^3-29*x^2-15*x-14)/(x^8-88*x^4+1) ogf] A041401 8.56791 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-88*x^4+1) ogf] A041402 4.88715 [-(x^11-14*x^10+15*x^9-44*x^8+147*x^7-338*x^6-485*x^5-338*x^4-147*x^3-44*x^2-15*x-14)/(x^4-10*x^2+1)/(x^8+10*x^6+99*x^4+10*x^2+1) ogf] A041403 5.98343 [-(x^10-x^9+3*x^8-10*x^7+23*x^6-33*x^5-23*x^4-10*x^3-3*x^2-x-1)/(x^4-10*x^2+1)/(x^8+10*x^6+99*x^4+10*x^2+1) ogf] A041406 5.98167 [-(x^9-14*x^8+15*x^7-59*x^6+192*x^5+251*x^4+192*x^3+59*x^2+15*x+14)/(x^10+502*x^5-1) ogf] A041407 6.59168 [-(x^8-x^7+4*x^6-13*x^5+17*x^4+13*x^3+4*x^2+x+1)/(x^10+502*x^5-1) ogf] A041408 6.74142 [-(x^7-14*x^6+15*x^5-59*x^4-74*x^3-59*x^2-15*x-14)/(x^8-148*x^4+1) ogf] A041409 8.07662 [-(x^2-x-1)*(x^4+5*x^2+1)/(x^8-148*x^4+1) ogf] A041410 5.27809 [-(x^7-14*x^6+15*x^5-74*x^4-89*x^3-74*x^2-15*x-14)/(x^8-178*x^4+1) ogf] A041411 6.42594 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-178*x^4+1) ogf] A041412 4.86959 [-(x^11-14*x^10+15*x^9-104*x^8+223*x^7-1442*x^6-1665*x^5-1442*x^4-223*x^3-104*x^2-15*x-14)/(x^4-15*x^2+1)/(x^8+15*x^6+224*x^4+15*x^2+1) ogf] A041413 5.52889 [-(x^10-x^9+7*x^8-15*x^7+97*x^6-112*x^5-97*x^4-15*x^3-7*x^2-x-1)/(x^4-15*x^2+1)/(x^8+15*x^6+224*x^4+15*x^2+1) ogf] A041414 5.13938 [-(x^7-14*x^6+15*x^5-134*x^4-149*x^3-134*x^2-15*x-14)/(x^8-298*x^4+1) ogf] A041415 8.14525 [-(x^2-x-1)*(x^4+10*x^2+1)/(x^8-298*x^4+1) ogf] A041416 4.78217 [-(x^7-14*x^6+15*x^5-209*x^4-224*x^3-209*x^2-15*x-14)/(x^8-448*x^4+1) ogf] A041417 7.87598 [-(x^2-x-1)*(x^4+15*x^2+1)/(x^8-448*x^4+1) ogf] A041418 4.22358 [-(11666368*f(x)+8640325)*(f(x)*x^4-30*f(x)*x^2+x^3-14*x^2+f(x)-15*x-14) ogf] A041418 6.29374 [-(15+868*x+x^6-28*x^5-15*x^4-56*x^3+447*x^2)/(x^3-14*x^2-15*x-14)/(x^4-30*x^2+1) lgdogf] A041418 7.46778 [-(x^3-14*x^2-15*x-14)/(x^4-30*x^2+1) ogf] A041419 12.7670 [-(x^2-x-1)/(x^4-30*x^2+1) ogf] A041419 7.40487 [(52082*f(x)-721)*(f(x)*x^4-30*f(x)*x^2+x^2+f(x)-x-1) ogf] A041420 13.1551 [-(x+15)/(x^2+30*x-1) ogf] A041420 13.1999 [1/2/(x+1)*(-15-30*x+(225+904*x+904*x^2)^(1/2)) revogf] A041420 17.3485 [-(451+30*x+x^2)/(x+15)/(x^2+30*x-1) lgdogf] A041420 6.79437 [(13560*f(x)+1)*(f(x)*x^2+30*f(x)*x-f(x)+x+15) ogf] A041420 7.18940 [{a(n+2)-30*a(n+1)-a(n),a(0)=15,a(1)=451} ogf] A041420 8.70828 [-(x^2+30*x+451)/(x^3+45*x^2+449*x-15) lgdogf] A041421 11.3122 [-(-2*x-30)/(-x^2-30*x+1) lgdogf] A041421 14.5926 [1/2/x*(-30*x-1+(904*x^2+60*x+1)^(1/2)) revogf] A041421 16.6355 [-1/(x^2+30*x-1) ogf] A041421 25.2054 [-2*(15+x)/(x^2-1+30*x) lgdogf] A041421 6.42736 [-(451*f(x)-1)*(f(x)*x^2+30*f(x)*x-f(x)+1) ogf] A041421 6.73343 [{-a(n+2)+30*a(n+1)+a(n),a(0)=1,a(1)=30} ogf] A041422 3.73383 [-(627474768810*f(x)+31350499201)*(f(x)*x^4-452*f(x)*x^2+x^3-15*x^2+f(x)-226*x-15) ogf] A041422 6.94176 [-(x^3-15*x^2-226*x-15)/(x^4-452*x^2+1) ogf] A041423 5.35735 [-(184280402*f(x)+903)*(f(x)*x^4-452*f(x)*x^2+x^2+f(x)-15*x-1) ogf] A041423 8.49963 [-(15+902*x+2*x^5-4*x^3-45*x^4+6780*x^2)/(x^2-15*x-1)/(x^4-452*x^2+1) lgdogf] A041423 9.82180 [-(x^2-15*x-1)/(x^4-452*x^2+1) ogf] A041424 3.62462 [-(62590106280*f(x)+4689031013)*(f(x)*x^4-302*f(x)*x^2+x^3-15*x^2+f(x)-151*x-15) ogf] A041424 6.63663 [-(x^3-15*x^2-151*x-15)/(x^4-302*x^2+1) ogf] A041425 10.3715 [-2*(5+301*x+x^5-15*x^4-2*x^3+1510*x^2)/(x^2-10*x-1)/(x^4-302*x^2+1) lgdogf] A041425 11.7778 [-(x^2-10*x-1)/(x^4-302*x^2+1) ogf] A041425 6.36635 [-(54903602*f(x)-29597)*(f(x)*x^4-302*f(x)*x^2+x^2+f(x)-10*x-1) ogf] A041426 5.52221 [-(x^9-15*x^8+106*x^7-121*x^6+227*x^5+1710*x^4+227*x^3+121*x^2+106*x+15)/(x^10+3420*x^5-1) ogf] A041427 6.32797 [-(x^8-7*x^7+8*x^6-15*x^5+113*x^4+15*x^3+8*x^2+7*x+1)/(x^10+3420*x^5-1) ogf] A041428 3.83397 [-(8273211780*f(x)+1032224243)*(f(x)*x^4-182*f(x)*x^2+x^3-15*x^2+f(x)-91*x-15) ogf] A041428 5.71022 [-(91+5490*x+x^6-30*x^5-91*x^4-60*x^3+16559*x^2)/(x^3-15*x^2-91*x-15)/(x^4-182*x^2+1) lgdogf] A041428 7.01069 [-(x^3-15*x^2-91*x-15)/(x^4-182*x^2+1) ogf] A041429 11.1290 [-(x^2-6*x-1)/(x^4-182*x^2+1) ogf] A041429 5.96918 [-(11990162*f(x)-19293)*(f(x)*x^4-182*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A041430 4.29409 [-(8058206310*f(x)+1206022351)*(f(x)*x^4-152*f(x)*x^2+x^3-15*x^2+f(x)-76*x-15) ogf] A041430 6.40845 [-(76+4590*x+11549*x^2-60*x^3-76*x^4-30*x^5+x^6)/(x^3-15*x^2-76*x-15)/(x^4-152*x^2+1) lgdogf] A041430 7.85204 [-(x^3-15*x^2-76*x-15)/(x^4-152*x^2+1) ogf] A041431 5.14433 [-(6976802*f(x)-14897)*(f(x)*x^4-152*f(x)*x^2+x^2+f(x)-5*x-1) ogf] A041431 8.44877 [-(5+302*x+760*x^2-4*x^3-15*x^4+2*x^5)/(x^2-5*x-1)/(x^4-152*x^2+1) lgdogf] A041431 9.50393 [-(x^2-5*x-1)/(x^4-152*x^2+1) ogf] A041438 4.51907 [-(1085757810*f(x)+270417781)*(f(x)*x^4-92*f(x)*x^2+x^3-15*x^2+f(x)-46*x-15) ogf] A041438 6.80294 [-(46+2790*x+4229*x^2-60*x^3-46*x^4-30*x^5+x^6)/(x^3-15*x^2-46*x-15)/(x^4-92*x^2+1) lgdogf] A041438 8.25222 [-(x^3-15*x^2-46*x-15)/(x^4-92*x^2+1) ogf] A041439 11.1632 [-(3+182*x+276*x^2-4*x^3-9*x^4+2*x^5)/(x^2-3*x-1)/(x^4-92*x^2+1) lgdogf] A041439 12.3356 [-(x^2-3*x-1)/(x^4-92*x^2+1) ogf] A041439 6.68657 [-(1540082*f(x)-6441)*(f(x)*x^4-92*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041448 10.6779 [-(x+1)*(x^2-16*x-15)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A041448 5.94173 [-(112493280*f(x)+41944673)*(f(x)*x^4-62*f(x)*x^2+x^3-15*x^2+f(x)-31*x-15) ogf] A041448 8.05106 [-(31+1890*x-60*x^3+1919*x^2-31*x^4-30*x^5+x^6)/(x+1)/(x^2+8*x+1)/(x^2-8*x+1)/(x^2-16*x-15) lgdogf] A041449 10.4379 [-2*(x+1)*(x^4-4*x^3+2*x^2+60*x+1)/(x^2+8*x+1)/(x^2-8*x+1)/(x^2-2*x-1) lgdogf] A041449 12.6306 [-(x^2-2*x-1)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A041449 6.9111 [-(468722*f(x)-3101)*(f(x)*x^4-62*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041464 7.06946 [-(x^7-15*x^6+16*x^5-47*x^4-63*x^3-47*x^2-16*x-15)/(x^8-126*x^4+1) ogf] A041465 8.45866 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-126*x^4+1) ogf] A041472 6.53104 [-(x^7-15*x^6+16*x^5-111*x^4-127*x^3-111*x^2-16*x-15)/(x^4-16*x^2+1)/(x^4+16*x^2+1) ogf] A041473 8.12735 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^4-16*x^2+1)/(x^4+16*x^2+1) ogf] A041476 6.55864 [-(x^7-15*x^6+16*x^5-239*x^4-255*x^3-239*x^2-16*x-15)/(x^8-510*x^4+1) ogf] A041477 8.04720 [-(x^2-x-1)*(x^4+16*x^2+1)/(x^8-510*x^4+1) ogf] A041478 4.23712 [-(16157310*f(x)+11976811)*(f(x)*x^4-32*f(x)*x^2+x^3-15*x^2+f(x)-16*x-15) ogf] A041478 6.36735 [-(16+990*x+x^6-30*x^5-16*x^4-60*x^3+509*x^2)/(x^3-15*x^2-16*x-15)/(x^4-32*x^2+1) lgdogf] A041478 7.55313 [-(x^3-15*x^2-16*x-15)/(x^4-32*x^2+1) ogf] A041479 5.15266 [(63362*f(x)-833)*(f(x)*x^4-32*f(x)*x^2+x^2+f(x)-x-1) ogf] A041479 8.53021 [-(1+62*x+2*x^5-3*x^4-4*x^3+32*x^2)/(x^2-x-1)/(x^4-32*x^2+1) lgdogf] A041479 8.88390 [-(x^2-x-1)/(x^4-32*x^2+1) ogf] A041480 13.3910 [-(x+16)/(x^2+32*x-1) ogf] A041480 15.4572 [(-8-16*x+(64+257*x+257*x^2)^(1/2))/(x+1) revogf] A041480 17.6654 [-(513+32*x+x^2)/(x+16)/(x^2+32*x-1) lgdogf] A041480 6.91624 [(16448*f(x)+1)*(f(x)*x^2+32*f(x)*x-f(x)+x+16) ogf] A041480 7.31835 [{a(n+2)-32*a(n+1)-a(n),a(0)=16,a(1)=513} ogf] A041480 8.86448 [-(x^2+32*x+513)/(x^3+48*x^2+511*x-16) lgdogf] A041481 13.4294 [-(-2*x-32)/(-x^2-32*x+1) lgdogf] A041481 16.9266 [1/2/x*(-1-32*x+(1+64*x+1028*x^2)^(1/2)) revogf] A041481 19.7491 [-1/(x^2+32*x-1) ogf] A041481 30.0063 [-2*(16+x)/(x^2-1+32*x) lgdogf] A041481 7.63036 [-(513*f(x)-1)*(f(x)*x^2+32*f(x)*x-f(x)+1) ogf] A041481 7.99370 [{-a(n+2)+32*a(n+1)+a(n),a(0)=1,a(1)=32} ogf] A041482 4.94215 [-(1118948237376*f(x)+52416551681)*(f(x)*x^4-514*f(x)*x^2+x^3-16*x^2+f(x)-257*x-16) ogf] A041482 9.25782 [-(x^3-16*x^2-257*x-16)/(x^4-514*x^2+1) ogf] A041483 10.0084 [-2*(8+513*x+4112*x^2-2*x^3-24*x^4+x^5)/(x^2-16*x-1)/(x^4-514*x^2+1) lgdogf] A041483 11.3688 [-(x^2-16*x-1)/(x^4-514*x^2+1) ogf] A041483 6.14529 [-(271063042*f(x)+1027)*(f(x)*x^4-514*f(x)*x^2+x^2+f(x)-16*x-1) ogf] A041486 5.20267 [-(71162761280*f(x)+6662789377)*(f(x)*x^4-258*f(x)*x^2+x^3-16*x^2+f(x)-129*x-16) ogf] A041486 9.52601 [-(x^3-16*x^2-129*x-16)/(x^2-16*x-1)/(x^2+16*x-1) ogf] A041487 11.7278 [-(x^2-8*x-1)/(x^2-16*x-1)/(x^2+16*x-1) ogf] A041487 6.40688 [-(1179754*f(x)-1121)*(f(x)*x^4-258*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A041487 8.94955 [-2*(4+257*x+x^5-12*x^4-2*x^3+1032*x^2)/(x^2-16*x-1)/(x^2-8*x-1)/(x^2+16*x-1) lgdogf] A041494 5.37882 [-(4603824192*f(x)+860944385)*(f(x)*x^4-130*f(x)*x^2+x^3-16*x^2+f(x)-65*x-16) ogf] A041494 8.08834 [-(65+4192*x+x^6-32*x^5+8447*x^2-64*x^3-65*x^4)/(x^3-16*x^2-65*x-16)/(x^4-130*x^2+1) lgdogf] A041494 9.75871 [-(x^3-16*x^2-65*x-16)/(x^4-130*x^2+1) ogf] A041495 10.5787 [-2*(2+129*x+x^5-2*x^3-6*x^4+260*x^2)/(x^2-4*x-1)/(x^4-130*x^2+1) lgdogf] A041495 11.6783 [-(x^2-4*x-1)/(x^4-130*x^2+1) ogf] A041495 6.32127 [-(4359682*f(x)-12221)*(f(x)*x^4-130*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041498 6.60358 [-(x^7-16*x^6+49*x^5-212*x^4-685*x^3-212*x^2-49*x-16)/(x^8-1370*x^4+1) ogf] A041499 7.55818 [-(x^2-3*x-1)*(x^4+14*x^2+1)/(x^8-1370*x^4+1) ogf] A041501 5.70167 [-(x^10-2*x^9+3*x^8-47*x^7+50*x^6-147*x^5-50*x^4-47*x^3-3*x^2-2*x-1)/(x^12-4804*x^6+1) ogf] A041504 7.86810 [-(x^5-16*x^4+33*x^3+82*x^2+33*x+16)/(x^6+164*x^3-1) ogf] A041505 9.87315 [-(x^4-2*x^3+5*x^2+2*x+1)/(x^6+164*x^3-1) ogf] A041510 5.36835 [-(307913792*f(x)+114851713)*(f(x)*x^4-66*f(x)*x^2+x^3-16*x^2+f(x)-33*x-16) ogf] A041510 7.32290 [-(33+2144*x+x^6-32*x^5-64*x^3-33*x^4+2175*x^2)/(1+x)/(x^2-17*x-16)/(x^2+8*x-1)/(x^2-8*x-1) lgdogf] A041510 9.72528 [-(x+1)*(x^2-17*x-16)/(x^2-8*x-1)/(x^2+8*x-1) ogf] A041511 10.5723 [-2*(x+1)*(x^4-4*x^3+2*x^2+64*x+1)/(x^2-8*x-1)/(x^2+8*x-1)/(x^2-2*x-1) lgdogf] A041511 12.7905 [-(x^2-2*x-1)/(x^2-8*x-1)/(x^2+8*x-1) ogf] A041511 6.99859 [-(566018*f(x)-3565)*(f(x)*x^4-66*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041512 4.98425 [-(x^11-16*x^10+17*x^9-33*x^8+347*x^7-380*x^6-727*x^5-380*x^4-347*x^3-33*x^2-17*x-16)/(x^12-1454*x^6+1) ogf] A041513 5.82499 [-(x^6-22*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-1454*x^6+1) ogf] A041515 5.22044 [-(x^12-x^11+2*x^10-9*x^9+38*x^8-47*x^7+85*x^6+47*x^5+38*x^4+9*x^3+2*x^2+x+1)/(x^14+2814*x^7-1) ogf] A041516 5.13339 [-(x^11-16*x^10+17*x^9-33*x^8+83*x^7-116*x^6-199*x^5-116*x^4-83*x^3-33*x^2-17*x-16)/(x^6+20*x^3+1)/(x^6-20*x^3+1) ogf] A041517 5.93860 [-(x^6-6*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^6+20*x^3+1)/(x^6-20*x^3+1) ogf] A041523 5.64089 [-(x^10-x^9+3*x^8-49*x^7+101*x^6-150*x^5-101*x^4-49*x^3-3*x^2-x-1)/(x^12-5002*x^6+1) ogf] A041526 5.26848 [-(x^11-16*x^10+17*x^9-50*x^8+67*x^7-184*x^6-251*x^5-184*x^4-67*x^3-50*x^2-17*x-16)/(x^12-502*x^6+1) ogf] A041527 6.05839 [-(x^2-x-1)*(x^8+4*x^6+15*x^4+4*x^2+1)/(x^12-502*x^6+1) ogf] A041537 5.61657 [-(x^10-x^9+8*x^8-17*x^7+127*x^6-144*x^5-127*x^4-17*x^3-8*x^2-x-1)/(x^4-17*x^2+1)/(x^8+17*x^6+288*x^4+17*x^2+1) ogf] A041540 6.64494 [-(x^7-16*x^6+17*x^5-271*x^4-288*x^3-271*x^2-17*x-16)/(x^8-576*x^4+1) ogf] A041541 7.47180 [-(x^2-x-1)*(x^4+17*x^2+1)/(x^8-576*x^4+1) ogf] A041542 10.3035 [-(x^3-16*x^2-17*x-16)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A041542 5.78 [-(21934656*f(x)+16271681)*(f(x)*x^4-34*f(x)*x^2+x^3-16*x^2+f(x)-17*x-16) ogf] A041542 7.76194 [-(17+1120*x+x^6-32*x^5-17*x^4-64*x^3+575*x^2)/(1+6*x+x^2)/(x^2-6*x+1)/(x^3-16*x^2-17*x-16) lgdogf] A041543 10.1903 [-(1+66*x+2*x^5-3*x^4-4*x^3+34*x^2)/(1+6*x+x^2)/(x^2-6*x+1)/(x^2-x-1) lgdogf] A041543 12.1635 [-(x^2-x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A041543 7.05486 [(76162*f(x)-953)*(f(x)*x^4-34*f(x)*x^2+x^2+f(x)-x-1) ogf] A041544 13.1120 [1/2/(x+1)*(-17-34*x+(289+1160*x+1160*x^2)^(1/2)) revogf] A041544 13.6270 [-(x+17)/(x^2+34*x-1) ogf] A041544 17.9822 [-(579+34*x+x^2)/(x+17)/(x^2+34*x-1) lgdogf] A041544 7.03811 [(19720*f(x)+1)*(f(x)*x^2+34*f(x)*x-f(x)+x+17) ogf] A041544 7.44730 [{a(n+2)-34*a(n+1)-a(n),a(0)=17,a(1)=579} ogf] A041544 9.02068 [-(x^2+34*x+579)/(x^3+51*x^2+577*x-17) lgdogf] A041545 11.7003 [-(-2*x-34)/(-x^2-34*x+1) lgdogf] A041545 14.7161 [1/2/x*(-1-34*x+(1+68*x+1160*x^2)^(1/2)) revogf] A041545 17.2064 [-1/(x^2+34*x-1) ogf] A041545 26.0876 [-2*(17+x)/(x^2-1+34*x) lgdogf] A041545 6.64791 [-(579*f(x)-1)*(f(x)*x^2+34*f(x)*x-f(x)+1) ogf] A041545 6.96448 [{-a(n+2)+34*a(n+1)+a(n),a(0)=1,a(1)=34} ogf] A041546 4.39862 [-(1927098319254*f(x)+84970013633)*(f(x)*x^4-580*f(x)*x^2+x^3-17*x^2+f(x)-290*x-17) ogf] A041546 8.23966 [-(x^3-17*x^2-290*x-17)/(x^4-580*x^2+1) ogf] A041547 10.1996 [-(x^2-17*x-1)/(x^4-580*x^2+1) ogf] A041547 5.51328 [-(389548882*f(x)+1159)*(f(x)*x^4-580*f(x)*x^2+x^2+f(x)-17*x-1) ogf] A041547 8.70494 [-(17+1158*x+9860*x^2-4*x^3-51*x^4+2*x^5)/(x^2-17*x-1)/(x^4-580*x^2+1) lgdogf] A041550 5.21325 [-(x^9-17*x^8+137*x^7-154*x^6+291*x^5+2482*x^4+291*x^3+154*x^2+137*x+17)/(x^10+4964*x^5-1) ogf] A041551 6.55297 [-(x^8-8*x^7+9*x^6-17*x^5+145*x^4+17*x^3+9*x^2+8*x+1)/(x^10+4964*x^5-1) ogf] A041553 5.48673 [-(x^10-6*x^9+7*x^8-34*x^7+41*x^6-280*x^5-41*x^4-34*x^3-7*x^2-6*x-1)/(x^6-98*x^3+1)/(x^6+98*x^3+1) ogf] A041557 5.46234 [-(x^10-4*x^9+5*x^8-39*x^7+44*x^6-215*x^5-44*x^4-39*x^3-5*x^2-4*x-1)/(x^6+86*x^3-1)/(x^6-86*x^3-1) ogf] A041562 6.32387 [-(x^7-17*x^6+52*x^5-121*x^4-415*x^3-121*x^2-52*x-17)/(x^8-830*x^4+1) ogf] A041563 7.97967 [-(x^2-3*x-1)*(x^4+8*x^2+1)/(x^8-830*x^4+1) ogf] A041564 6.41818 [-(x^7-17*x^6+52*x^5-433*x^4-1351*x^3-433*x^2-52*x-17)/(x^4-52*x^2+1)/(x^4+52*x^2+1) ogf] A041565 7.38596 [-(x^2-3*x-1)*(x^4+26*x^2+1)/(x^4-52*x^2+1)/(x^4+52*x^2+1) ogf] A041571 5.72636 [-(x^6-29*x^3-1)*(x^4-2*x^3+5*x^2+2*x+1)/(x^12-5048*x^6+1) ogf] A041574 6.49402 [-(x+1)*(x^6-18*x^5+53*x^4-280*x^3-209*x^2-18*x-17)/(x^8-978*x^4+1) ogf] A041575 8.04655 [-(x^2-2*x-1)*(x^4+14*x^2+1)/(x^8-978*x^4+1) ogf] A041576 5.48412 [-(206832132*f(x)+77173039)*(f(x)*x^4-70*f(x)*x^2+x^3-17*x^2+f(x)-35*x-17) ogf] A041576 8.24750 [-(35+2414*x+x^6-34*x^5-68*x^3-35*x^4+2447*x^2)/(1+x)/(x^2-18*x-17)/(x^4-70*x^2+1) lgdogf] A041576 9.85552 [-(x+1)*(x^2-18*x-17)/(x^4-70*x^2+1) ogf] A041577 11.0618 [-2*(1+x)*(x^4-4*x^3+2*x^2+68*x+1)/(x^2-2*x-1)/(x^4-70*x^2+1) lgdogf] A041577 11.6532 [-(x^2-2*x-1)/(x^4-70*x^2+1) ogf] A041577 6.37626 [-(675922*f(x)-4061)*(f(x)*x^4-70*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041580 5.03165 [-(x^11-17*x^10+18*x^9-35*x^8+158*x^7-193*x^6-351*x^5-193*x^4-158*x^3-35*x^2-18*x-17)/(x^4-9*x^2+1)/(x^8+9*x^6+80*x^4+9*x^2+1) ogf] A041581 5.81385 [-(x^4-x^3+2*x^2+x+1)*(x^6-10*x^3-1)/(x^4-9*x^2+1)/(x^8+9*x^6+80*x^4+9*x^2+1) ogf] A041588 6.91577 [-(x^7-17*x^6+18*x^5-35*x^4-53*x^3-35*x^2-18*x-17)/(x^8-106*x^4+1) ogf] A041589 8.31219 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-106*x^4+1) ogf] A041593 5.33915 [-(x^12-x^11+3*x^10-4*x^9+7*x^8-18*x^7+25*x^6+18*x^5+7*x^4+4*x^3+3*x^2+x+1)/(x^14+886*x^7-1) ogf] A041594 6.74142 [-(x^7-17*x^6+18*x^5-53*x^4-71*x^3-53*x^2-18*x-17)/(x^4+12*x^2+1)/(x^4-12*x^2+1) ogf] A041595 8.56852 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^4+12*x^2+1)/(x^4-12*x^2+1) ogf] A041600 7.03942 [-(x^7-17*x^6+18*x^5-89*x^4-107*x^3-89*x^2-18*x-17)/(x^8-214*x^4+1) ogf] A041601 7.84092 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-214*x^4+1) ogf] A041604 6.73514 [-(x^7-17*x^6+18*x^5-143*x^4-161*x^3-143*x^2-18*x-17)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A041605 8.41378 [-(x^2-x-1)*(x^4+9*x^2+1)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A041606 6.96839 [-(x^7-17*x^6+18*x^5-197*x^4-215*x^3-197*x^2-18*x-17)/(x^8-430*x^4+1) ogf] A041607 7.80750 [-(x^2-x-1)*(x^4+12*x^2+1)/(x^8-430*x^4+1) ogf] A041608 6.76000 [-(x^7-17*x^6+18*x^5-305*x^4-323*x^3-305*x^2-18*x-17)/(x^8-646*x^4+1) ogf] A041609 7.60703 [-(x^2-x-1)*(x^4+18*x^2+1)/(x^8-646*x^4+1) ogf] A041610 10.5274 [-(x^3-17*x^2-18*x-17)/(x^4-36*x^2+1) ogf] A041610 5.90565 [-(29256694*f(x)+21717841)*(f(x)*x^4-36*f(x)*x^2+x^3-17*x^2+f(x)-18*x-17) ogf] A041610 8.81519 [-(18+1258*x-68*x^3+645*x^2-18*x^4-34*x^5+x^6)/(x^3-17*x^2-18*x-17)/(x^4-36*x^2+1) lgdogf] A041611 11.8511 [-(1+70*x+2*x^5-3*x^4-4*x^3+36*x^2)/(x^2-x-1)/(x^4-36*x^2+1) lgdogf] A041611 12.2717 [-(x^2-x-1)/(x^4-36*x^2+1) ogf] A041611 7.0471 [(90578*f(x)-1081)*(f(x)*x^4-36*f(x)*x^2+x^2+f(x)-x-1) ogf] A041612 13.8040 [-(x+18)/(x^2+36*x-1) ogf] A041612 15.9424 [(-9-18*x+(81+325*x+325*x^2)^(1/2))/(x+1) revogf] A041612 18.2199 [-(649+36*x+x^2)/(x+18)/(x^2+36*x-1) lgdogf] A041612 7.12951 [(23400*f(x)+1)*(f(x)*x^2+36*f(x)*x-f(x)+x+18) ogf] A041612 7.54402 [{a(n+2)-36*a(n+1)-a(n),a(0)=18,a(1)=649} ogf] A041612 9.13783 [-(x^2+36*x+649)/(x^3+54*x^2+647*x-18) lgdogf] A041613 11.9221 [-(-2*x-36)/(-x^2-36*x+1) lgdogf] A041613 15.0004 [1/2/x*(-1-36*x+(1+72*x+1300*x^2)^(1/2)) revogf] A041613 17.5326 [-1/(x^2+36*x-1) ogf] A041613 26.5917 [-2*(18+x)/(x^2-1+36*x) lgdogf] A041613 6.77394 [-(649*f(x)-1)*(f(x)*x^2+36*f(x)*x-f(x)+1) ogf] A041613 7.09651 [{-a(n+2)+36*a(n+1)+a(n),a(0)=1,a(1)=36} ogf] A041614 5.07441 [-(3218025294936*f(x)+134015414653)*(f(x)*x^4-650*f(x)*x^2+x^3-18*x^2+f(x)-325*x-18) ogf] A041614 9.57704 [-(x^3-18*x^2-325*x-18)/(x^4-650*x^2+1) ogf] A041615 10.3412 [-(x^2-18*x-1)/(x^4-650*x^2+1) ogf] A041615 5.58985 [-(548402402*f(x)+1299)*(f(x)*x^4-650*f(x)*x^2+x^2+f(x)-18*x-1) ogf] A041615 9.09164 [-2*(9+649*x+5850*x^2-2*x^3-27*x^4+x^5)/(x^2-18*x-1)/(x^4-650*x^2+1) lgdogf] A041616 4.87227 [-(640061541288*f(x)+39972932893)*(f(x)*x^4-434*f(x)*x^2+x^3-18*x^2+f(x)-217*x-18) ogf] A041616 9.05830 [-(x^3-18*x^2-217*x-18)/(x^4-434*x^2+1) ogf] A041617 5.21109 [-(163114562*f(x)-61629)*(f(x)*x^4-434*f(x)*x^2+x^2+f(x)-12*x-1) ogf] A041617 8.54192 [-2*(6+433*x-2*x^3+2604*x^2-18*x^4+x^5)/(x^2-12*x-1)/(x^4-434*x^2+1) lgdogf] A041617 9.72735 [-(x^2-12*x-1)/(x^4-434*x^2+1) ogf] A041618 3.5697 [-(203918545296*f(x)+16975677061)*(f(x)*x^4-326*f(x)*x^2+x^3-18*x^2+f(x)-163*x-18) ogf] A041618 6.63663 [-(x^3-18*x^2-163*x-18)/(x^2-18*x-1)/(x^2+18*x-1) ogf] A041619 4.46135 [-(69078098*f(x)-52161)*(f(x)*x^4-326*f(x)*x^2+x^2+f(x)-9*x-1) ogf] A041619 6.31129 [-(9+650*x+2*x^5-27*x^4-4*x^3+2934*x^2)/(x^2-18*x-1)/(x^2+18*x-1)/(x^2-9*x-1) lgdogf] A041619 8.31776 [-(x^2-9*x-1)/(x^2-18*x-1)/(x^2+18*x-1) ogf] A041622 5.10856 [-(8167320216*f(x)+1019330201)*(f(x)*x^4-218*f(x)*x^2+x^3-18*x^2+f(x)-109*x-18) ogf] A041622 9.28175 [-(x^3-18*x^2-109*x-18)/(x^4-218*x^2+1) ogf] A041623 10.3976 [-2*(3+217*x+x^5-2*x^3-9*x^4+654*x^2)/(x^2-6*x-1)/(x^4-218*x^2+1) lgdogf] A041623 11.4783 [-(x^2-6*x-1)/(x^4-218*x^2+1) ogf] A041623 6.15655 [-(20624546*f(x)-30957)*(f(x)*x^4-218*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A041628 5.45181 [-(8233169256*f(x)+1540109341)*(f(x)*x^4-146*f(x)*x^2+x^3-18*x^2+f(x)-73*x-18) ogf] A041628 7.29845 [-(73+5292*x+10655*x^2-72*x^3-73*x^4-36*x^5+x^6)/(x^2+12*x-1)/(x^2-12*x-1)/(x^3-18*x^2-73*x-18) lgdogf] A041628 9.96903 [-(x^3-18*x^2-73*x-18)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A041629 11.8814 [-(x^2-4*x-1)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A041629 6.43121 [-(6181058*f(x)-16061)*(f(x)*x^4-146*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041629 9.31105 [-2*(2+145*x+292*x^2-2*x^3-6*x^4+x^5)/(x^2-12*x-1)/(x^2+12*x-1)/(x^2-4*x-1) lgdogf] A041632 6.54738 [-(x^7-18*x^6+55*x^5-183*x^4-604*x^3-183*x^2-55*x-18)/(x^8-1208*x^4+1) ogf] A041633 7.42616 [-(x^2-3*x-1)*(x^4+11*x^2+1)/(x^8-1208*x^4+1) ogf] A041634 5.19334 [-(2658460896*f(x)+662534533)*(f(x)*x^4-110*f(x)*x^2+x^3-18*x^2+f(x)-55*x-18) ogf] A041634 7.80454 [-(55+3996*x-72*x^3+6047*x^2-55*x^4-36*x^5+x^6)/(x^3-18*x^2-55*x-18)/(x^4-110*x^2+1) lgdogf] A041634 9.42221 [-(x^3-18*x^2-55*x-18)/(x^4-110*x^2+1) ogf] A041635 10.2510 [-(3+218*x+2*x^5-9*x^4-4*x^3+330*x^2)/(x^2-3*x-1)/(x^4-110*x^2+1) lgdogf] A041635 11.3228 [-(x^2-3*x-1)/(x^4-110*x^2+1) ogf] A041635 6.24344 [-(376766*f(x)-1383)*(f(x)*x^4-110*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041638 6.07662 [-(x^9-18*x^8+37*x^7-55*x^6+92*x^5+239*x^4+92*x^3+55*x^2+37*x+18)/(x^10+478*x^5-1) ogf] A041639 6.62192 [-(x^8-2*x^7+3*x^6-5*x^5+13*x^4+5*x^3+3*x^2+2*x+1)/(x^10+478*x^5-1) ogf] A041646 4.39337 [-(546654168*f(x)+204025213)*(f(x)*x^4-74*f(x)*x^2+x^3-18*x^2+f(x)-37*x-18) ogf] A041646 6.63715 [-(37+2700*x+x^6-36*x^5+2735*x^2-72*x^3-37*x^4)/(x+1)/(x^2-19*x-18)/(x^4-74*x^2+1) lgdogf] A041646 7.95899 [-(x+1)*(x^2-19*x-18)/(x^4-74*x^2+1) ogf] A041647 11.2140 [-2*(1+x)*(x^4-4*x^3+2*x^2+72*x+1)/(x^2-2*x-1)/(x^4-74*x^2+1) lgdogf] A041647 11.8106 [-(x^2-2*x-1)/(x^4-74*x^2+1) ogf] A041647 6.46243 [-(799202*f(x)-4589)*(f(x)*x^4-74*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041654 5.85341 [-(x^9-18*x^8+19*x^7-37*x^6+56*x^5+93*x^4+56*x^3+37*x^2+19*x+18)/(x^10+186*x^5-1) ogf] A041655 7.21181 [-(x^4+2*x^3+4*x^2+3*x+1)*(x^4-3*x^3+4*x^2-2*x+1)/(x^10+186*x^5-1) ogf] A041662 4.86543 [-(x^11-18*x^10+19*x^9-56*x^8+131*x^7-318*x^6-449*x^5-318*x^4-131*x^3-56*x^2-19*x-18)/(x^6-30*x^3+1)/(x^6+30*x^3+1) ogf] A041663 6.05062 [-(x^10-x^9+3*x^8-7*x^7+17*x^6-24*x^5-17*x^4-7*x^3-3*x^2-x-1)/(x^6-30*x^3+1)/(x^6+30*x^3+1) ogf] A041677 5.76246 [-(x^10-x^9+9*x^8-19*x^7+161*x^6-180*x^5-161*x^4-19*x^3-9*x^2-x-1)/(x^4-19*x^2+1)/(x^8+19*x^6+360*x^4+19*x^2+1) ogf] A041680 4.59225 [-(x^7-18*x^6+19*x^5-341*x^4-360*x^3-341*x^2-19*x-18)/(x^8-720*x^4+1) ogf] A041681 7.60703 [-(x^2-x-1)*(x^4+19*x^2+1)/(x^8-720*x^4+1) ogf] A041682 10.7067 [-(x^3-18*x^2-19*x-18)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A041682 6.10545 [-(7682832*f(x)+5706497)*(f(x)*x^4-38*f(x)*x^2+x^3-18*x^2+f(x)-19*x-18) ogf] A041682 8.07105 [-(19+1404*x+x^6-36*x^5-72*x^3-19*x^4+719*x^2)/(x^2+6*x-1)/(x^2-6*x-1)/(x^3-18*x^2-19*x-18) lgdogf] A041683 11.2450 [-(x^2-x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A041683 6.39422 [(106706*f(x)-1217)*(f(x)*x^4-38*f(x)*x^2+x^2+f(x)-x-1) ogf] A041683 9.40949 [-(1+74*x+2*x^5-3*x^4-4*x^3+38*x^2)/(x^2+6*x-1)/(x^2-6*x-1)/(x^2-x-1) lgdogf] A041684 13.4586 [1/2/(x+1)*(-19-38*x+(361+1448*x+1448*x^2)^(1/2)) revogf] A041684 13.9809 [-(x+19)/(x^2+38*x-1) ogf] A041684 18.4575 [-(723+38*x+x^2)/(x+19)/(x^2+38*x-1) lgdogf] A041684 7.22092 [(27512*f(x)+1)*(f(x)*x^2+38*f(x)*x-f(x)+x+19) ogf] A041684 7.64074 [{a(n+2)-38*a(n+1)-a(n),a(0)=19,a(1)=723} ogf] A041684 9.25499 [-(x^2+38*x+723)/(x^3+57*x^2+721*x-19) lgdogf] A041685 12.0330 [-(-2*x-38)/(-x^2-38*x+1) lgdogf] A041685 15.1426 [1/2/x*(-1-38*x+(1+76*x+1448*x^2)^(1/2)) revogf] A041685 17.6956 [-1/(x^2+38*x-1) ogf] A041685 26.8437 [-2*(19+x)/(x^2-1+38*x) lgdogf] A041685 6.83695 [-(723*f(x)-1)*(f(x)*x^2+38*f(x)*x-f(x)+1) ogf] A041685 7.16252 [{-a(n+2)+38*a(n+1)+a(n),a(0)=1,a(1)=38} ogf] A041686 5.13784 [-(5227619786994*f(x)+206258144201)*(f(x)*x^4-724*f(x)*x^2+x^3-19*x^2+f(x)-362*x-19) ogf] A041686 9.69676 [-(x^3-19*x^2-362*x-19)/(x^4-724*x^2+1) ogf] A041687 10.4829 [-(x^2-19*x-1)/(x^4-724*x^2+1) ogf] A041687 5.66643 [-(757955602*f(x)+1447)*(f(x)*x^4-724*f(x)*x^2+x^2+f(x)-19*x-1) ogf] A041687 8.82343 [-(19+1446*x+13756*x^2-4*x^3-57*x^4+2*x^5)/(x^2-19*x-1)/(x^4-724*x^2+1) lgdogf] A041690 5.39778 [-(x^9-19*x^8+172*x^7-191*x^6+363*x^5+3458*x^4+363*x^3+191*x^2+172*x+19)/(x^10+6916*x^5-1) ogf] A041691 6.05286 [-(x^8-9*x^7+10*x^6-19*x^5+181*x^4+19*x^3+10*x^2+9*x+1)/(x^10+6916*x^5-1) ogf] A041696 6.36332 [-(x^7-19*x^6+96*x^5-211*x^4-1151*x^3-211*x^2-96*x-19)/(x^4-48*x^2+1)/(x^4+48*x^2+1) ogf] A041697 7.28835 [-(x^2-5*x-1)*(x^4+12*x^2+1)/(x^4-48*x^2+1)/(x^4+48*x^2+1) ogf] A041700 7.74178 [-(x^5-19*x^4+77*x^3+327*x^2+77*x+19)/(x^6+654*x^3-1) ogf] A041701 9.05345 [-(x^4-4*x^3+17*x^2+4*x+1)/(x^6+654*x^3-1) ogf] A041702 4.99774 [-(x^11-19*x^10+58*x^9-77*x^8+366*x^7-443*x^6-1695*x^5-443*x^4-366*x^3-77*x^2-58*x-19)/(x^12-3390*x^6+1) ogf] A041703 5.52136 [-(x^10-3*x^9+4*x^8-19*x^7+23*x^6-88*x^5-23*x^4-19*x^3-4*x^2-3*x-1)/(x^12-3390*x^6+1) ogf] A041706 5.51808 [-(x^9-19*x^8+58*x^7-309*x^6+1603*x^5+5118*x^4+1603*x^3+309*x^2+58*x+19)/(x^10+10236*x^5-1) ogf] A041707 6.32504 [-(x^8-3*x^7+16*x^6-83*x^5+265*x^4+83*x^3+16*x^2+3*x+1)/(x^10+10236*x^5-1) ogf] A041709 5.84977 [-(x^10-2*x^9+3*x^8-56*x^7+59*x^6-174*x^5-59*x^4-56*x^3-3*x^2-2*x-1)/(x^12-6730*x^6+1) ogf] A041714 6.56402 [-(x+1)*(x^6-20*x^5+59*x^4-156*x^3-77*x^2-20*x-19)/(x^8-466*x^4+1) ogf] A041715 8.08218 [-(x^2-2*x-1)*(x^4+6*x^2+1)/(x^8-466*x^4+1) ogf] A041720 4.43961 [-(355917880*f(x)+132871361)*(f(x)*x^4-78*f(x)*x^2+x^3-19*x^2+f(x)-39*x-19) ogf] A041720 6.70851 [-(39+3002*x+x^6+3039*x^2-76*x^3-39*x^4-38*x^5)/(x+1)/(x^2-20*x-19)/(x^4-78*x^2+1) lgdogf] A041720 8.04277 [-(x+1)*(x^2-20*x-19)/(x^4-78*x^2+1) ogf] A041721 11.3155 [-2*(1+x)*(x^4-4*x^3+2*x^2+76*x+1)/(x^2-2*x-1)/(x^4-78*x^2+1) lgdogf] A041721 11.9156 [-(x^2-2*x-1)/(x^4-78*x^2+1) ogf] A041721 6.77555 [(936626*f(x)-5149)*(f(x)*x^4-78*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041722 4.74361 [-(x^11-19*x^10+20*x^9-39*x^8+488*x^7-527*x^6-1015*x^5-527*x^4-488*x^3-39*x^2-20*x-19)/(x^12-2030*x^6+1) ogf] A041723 5.63563 [-(x^4-x^3+2*x^2+x+1)*(x^6-26*x^3-1)/(x^12-2030*x^6+1) ogf] A041735 5.30875 [-(x^10-x^9+3*x^8-58*x^7+119*x^6-177*x^5-119*x^4-58*x^3-3*x^2-x-1)/(x^12-6964*x^6+1) ogf] A041740 6.80216 [-(x^7-19*x^6+20*x^5-59*x^4-79*x^3-59*x^2-20*x-19)/(x^8-158*x^4+1) ogf] A041741 8.04040 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-158*x^4+1) ogf] A041744 7.04509 [-(x^7-19*x^6+20*x^5-79*x^4-99*x^3-79*x^2-20*x-19)/(x^4+14*x^2-1)/(x^4-14*x^2-1) ogf] A041745 7.69771 [-(x^2-x-1)*(x^4+5*x^2+1)/(x^4+14*x^2-1)/(x^4-14*x^2-1) ogf] A041750 5.13938 [-(x^7-19*x^6+20*x^5-139*x^4-159*x^3-139*x^2-20*x-19)/(x^8-318*x^4+1) ogf] A041751 8.37797 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^8-318*x^4+1) ogf] A041752 4.75469 [-(x^7-19*x^6+20*x^5-179*x^4-199*x^3-179*x^2-20*x-19)/(x^4+20*x^2+1)/(x^4-20*x^2+1) ogf] A041753 7.83727 [-(x^2-x-1)*(x^4+10*x^2+1)/(x^4+20*x^2+1)/(x^4-20*x^2+1) ogf] A041756 4.70030 [-(x^7-19*x^6+20*x^5-379*x^4-399*x^3-379*x^2-20*x-19)/(x^8-798*x^4+1) ogf] A041757 7.70846 [-(x^2-x-1)*(x^4+20*x^2+1)/(x^8-798*x^4+1) ogf] A041758 5.49499 [-(49732158*f(x)+36958535)*(f(x)*x^4-40*f(x)*x^2+x^3-19*x^2+f(x)-20*x-19) ogf] A041758 8.19389 [-(20+1558*x+x^6-38*x^5-76*x^3-20*x^4+797*x^2)/(x^3-19*x^2-20*x-19)/(x^4-40*x^2+1) lgdogf] A041758 9.79541 [-(x^3-19*x^2-20*x-19)/(x^4-40*x^2+1) ogf] A041759 11.0020 [-(1+78*x+2*x^5-3*x^4-4*x^3+40*x^2)/(x^2-x-1)/(x^4-40*x^2+1) lgdogf] A041759 11.4049 [-(x^2-x-1)/(x^4-40*x^2+1) ogf] A041759 6.48513 [(124642*f(x)-1361)*(f(x)*x^4-40*f(x)*x^2+x^2+f(x)-x-1) ogf] A041760 12.2727 [-(x+20)/(x^2+40*x-1) ogf] A041760 13.4758 [(-10-20*x+(100+401*x+401*x^2)^(1/2))/(x+1) revogf] A041760 16.1709 [-(801+40*x+x^2)/(x+20)/(x^2+40*x-1) lgdogf] A041760 6.33862 [(32080*f(x)+1)*(f(x)*x^2+40*f(x)*x-f(x)+x+20) ogf] A041760 6.70715 [{a(n+2)-40*a(n+1)-a(n),a(0)=20,a(1)=801} ogf] A041760 8.12415 [-(x^2+40*x+801)/(x^3+60*x^2+799*x-20) lgdogf] A041761 12.2548 [-(-2*x-40)/(-x^2-40*x+1) lgdogf] A041761 15.4270 [1/2/x*(-1-40*x+(1+80*x+1604*x^2)^(1/2)) revogf] A041761 18.0218 [-1/(x^2+40*x-1) ogf] A041761 27.3478 [-2*(20+x)/(x^2-1+40*x) lgdogf] A041761 6.96298 [-(801*f(x)-1)*(f(x)*x^2+40*f(x)*x-f(x)+1) ogf] A041761 7.29455 [{-a(n+2)+40*a(n+1)+a(n),a(0)=1,a(1)=40} ogf] A041762 4.59339 [-(8284493200080*f(x)+310539050801)*(f(x)*x^4-802*f(x)*x^2+x^3-20*x^2+f(x)-401*x-20) ogf] A041762 8.66923 [-(x^3-20*x^2-401*x-20)/(x^4-802*x^2+1) ogf] A041763 10.6245 [-(x^2-20*x-1)/(x^4-802*x^2+1) ogf] A041763 5.69172 [-(1030409602*f(x)+1603)*(f(x)*x^4-802*f(x)*x^2+x^2+f(x)-20*x-1) ogf] A041763 9.20793 [-2*(10+801*x-30*x^4-2*x^3+x^5+8020*x^2)/(x^2-20*x-1)/(x^4-802*x^2+1) lgdogf] A041766 4.82934 [-(523603400080*f(x)+39237450001)*(f(x)*x^4-402*f(x)*x^2+x^3-20*x^2+f(x)-201*x-20) ogf] A041766 8.97848 [-(x^3-20*x^2-201*x-20)/(x^2-20*x-1)/(x^2+20*x-1) ogf] A041767 10.9834 [-(x^2-10*x-1)/(x^2-20*x-1)/(x^2+20*x-1) ogf] A041767 5.88397 [-(129604802*f(x)-79597)*(f(x)*x^4-402*f(x)*x^2+x^2+f(x)-10*x-1) ogf] A041767 8.40835 [-2*(5+401*x-2*x^3+2010*x^2-15*x^4+x^5)/(x^2-20*x-1)/(x^2-10*x-1)/(x^2+20*x-1) lgdogf] A041768 5.29901 [-(215666848080*f(x)+20197629041)*(f(x)*x^4-322*f(x)*x^2+x^3-20*x^2+f(x)-161*x-20) ogf] A041768 9.85169 [-(x^3-20*x^2-161*x-20)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A041769 10.7287 [-(x^2-8*x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A041769 5.75447 [-(66563842*f(x)-61181)*(f(x)*x^4-322*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A041769 8.17670 [-2*(4+321*x+x^5-12*x^4-2*x^3+1288*x^2)/(x^2-18*x+1)/(x^2+18*x+1)/(x^2-8*x-1) lgdogf] A041773 5.70167 [-(x^10-5*x^9+6*x^8-17*x^7+23*x^6-132*x^5-23*x^4-17*x^3-6*x^2-5*x-1)/(x^12-5326*x^6+1) ogf] A041774 5.0248 [-(33460900080*f(x)+5010709601)*(f(x)*x^4-202*f(x)*x^2+x^3-20*x^2+f(x)-101*x-20) ogf] A041774 9.20034 [-(x+4)*(x^2-24*x-5)/(x^4-202*x^2+1) ogf] A041775 11.2288 [-(x^2-5*x-1)/(x^4-202*x^2+1) ogf] A041775 6.02272 [-(16402402*f(x)-29897)*(f(x)*x^4-202*f(x)*x^2+x^2+f(x)-5*x-1) ogf] A041775 9.85941 [-(5+402*x-4*x^3+1010*x^2-15*x^4+2*x^5)/(x^2-5*x-1)/(x^4-202*x^2+1) lgdogf] A041778 3.78276 [-(13857872080*f(x)+2592886321)*(f(x)*x^4-162*f(x)*x^2+x^3-20*x^2+f(x)-81*x-20) ogf] A041778 5.67721 [-(81+6520*x+x^6-40*x^5-81*x^4-80*x^3+13119*x^2)/(x^3-20*x^2-81*x-20)/(x^4-162*x^2+1) lgdogf] A041778 6.97109 [-(x^3-20*x^2-81*x-20)/(x^4-162*x^2+1) ogf] A041779 10.8295 [-(x^2-4*x-1)/(x^4-162*x^2+1) ogf] A041779 5.86186 [-(8449922*f(x)-20413)*(f(x)*x^4-162*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041779 9.79946 [-2*(2+161*x+x^5-6*x^4-2*x^3+324*x^2)/(x^2-4*x-1)/(x^4-162*x^2+1) lgdogf] A041798 4.50898 [-(914728080*f(x)+341564561)*(f(x)*x^4-82*f(x)*x^2+x^3-20*x^2+f(x)-41*x-20) ogf] A041798 6.81556 [-(41+3320*x+3359*x^2-80*x^3-41*x^4-40*x^5+x^6)/(x+1)/(x^2-21*x-20)/(x^4-82*x^2+1) lgdogf] A041798 8.16843 [-(x+1)*(x^2-21*x-20)/(x^4-82*x^2+1) ogf] A041799 11.4169 [-2*(x+1)*(x^4-4*x^3+2*x^2+80*x+1)/(x^2-2*x-1)/(x^4-82*x^2+1) lgdogf] A041799 12.0206 [-(x^2-2*x-1)/(x^4-82*x^2+1) ogf] A041799 6.76889 [(1088962*f(x)-5741)*(f(x)*x^4-82*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041808 4.45672 [-(x^13-20*x^12+21*x^11-41*x^10+62*x^9-103*x^8+165*x^7+268*x^6+165*x^5+103*x^4+62*x^3+41*x^2+21*x+20)/(x^14+536*x^7-1) ogf] A041809 5.41522 [-(x^12-x^11+2*x^10-3*x^9+5*x^8-8*x^7+13*x^6+8*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x^14+536*x^7-1) ogf] A041812 5.47232 [-(x^7-20*x^6+21*x^5-41*x^4-62*x^3-41*x^2-21*x-20)/(x^8-124*x^4+1) ogf] A041813 8.34881 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-124*x^4+1) ogf] A041826 5.47313 [-(x^7-20*x^6+21*x^5-104*x^4-125*x^3-104*x^2-21*x-20)/(x^8-250*x^4+1) ogf] A041827 7.98413 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-250*x^4+1) ogf] A041828 6.70598 [-(x^7-20*x^6+21*x^5-125*x^4-146*x^3-125*x^2-21*x-20)/(x^8-292*x^4+1) ogf] A041829 8.19896 [-(x^2-x-1)*(x^4+7*x^2+1)/(x^8-292*x^4+1) ogf] A041833 5.37269 [-(x^10-x^9+10*x^8-21*x^7+199*x^6-220*x^5-199*x^4-21*x^3-10*x^2-x-1)/(x^4-21*x^2+1)/(x^8+21*x^6+440*x^4+21*x^2+1) ogf] A041834 5.00205 [-(x^7-20*x^6+21*x^5-272*x^4-293*x^3-272*x^2-21*x-20)/(x^8-586*x^4+1) ogf] A041835 7.40418 [-(x^2-x-1)*(x^4+14*x^2+1)/(x^8-586*x^4+1) ogf] A041836 4.78134 [-(x^7-20*x^6+21*x^5-419*x^4-440*x^3-419*x^2-21*x-20)/(x^8-880*x^4+1) ogf] A041837 7.87751 [-(x^2-x-1)*(x^4+21*x^2+1)/(x^8-880*x^4+1) ogf] A041838 4.50044 [-(63572080*f(x)+47266081)*(f(x)*x^4-42*f(x)*x^2+x^3-20*x^2+f(x)-21*x-20) ogf] A041838 6.68860 [-(21+1720*x+x^6-40*x^5-80*x^3-21*x^4+879*x^2)/(x^3-20*x^2-21*x-20)/(x^4-42*x^2+1) lgdogf] A041838 8.02254 [-(x^3-20*x^2-21*x-20)/(x^4-42*x^2+1) ogf] A041839 11.0544 [-(1+82*x+2*x^5-3*x^4-4*x^3+42*x^2)/(x^2-x-1)/(x^4-42*x^2+1) lgdogf] A041839 11.4582 [-(x^2-x-1)/(x^4-42*x^2+1) ogf] A041839 6.51543 [(144482*f(x)-1513)*(f(x)*x^4-42*f(x)*x^2+x^2+f(x)-x-1) ogf] A041840 10.2264 [1/2/(x+1)*(-21-42*x+(441+1768*x+1768*x^2)^(1/2)) revogf] A041840 10.6685 [-(x+21)/(x^2+42*x-1) ogf] A041840 14.0247 [-(883+42*x+x^2)/(x+21)/(x^2+42*x-1) lgdogf] A041840 5.51012 [(37128*f(x)+1)*(f(x)*x^2+42*f(x)*x-f(x)+x+21) ogf] A041840 5.83048 [{a(n+2)-42*a(n+1)-a(n),a(0)=21,a(1)=883} ogf] A041840 7.06227 [-(x^2+42*x+883)/(x^3+63*x^2+881*x-21) lgdogf] A041841 12.3103 [-(-2*x-42)/(-x^2-42*x+1) lgdogf] A041841 15.4981 [1/2/x*(-1-42*x+(1+84*x+1768*x^2)^(1/2)) revogf] A041841 18.1034 [-1/(x^2+42*x-1) ogf] A041841 27.4738 [-2*(21+x)/(x^2-1+42*x) lgdogf] A041841 6.99449 [-(883*f(x)-1)*(f(x)*x^2+42*f(x)*x-f(x)+1) ogf] A041841 7.32756 [{-a(n+2)+42*a(n+1)+a(n),a(0)=1,a(1)=42} ogf] A041842 4.03199 [-(12838584329886*f(x)+458347581721)*(f(x)*x^4-884*f(x)*x^2+x^3-21*x^2+f(x)-442*x-21) ogf] A041842 7.66645 [-(x^3-21*x^2-442*x-21)/(x^4-884*x^2+1) ogf] A041843 5.02532 [-(1380047762*f(x)+1767)*(f(x)*x^4-884*f(x)*x^2+x^2+f(x)-21*x-1) ogf] A041843 7.88208 [-(21+1766*x+2*x^5-63*x^4-4*x^3+18564*x^2)/(x^2-21*x-1)/(x^4-884*x^2+1) lgdogf] A041843 9.38060 [-(x^2-21*x-1)/(x^4-884*x^2+1) ogf] A041844 3.86864 [-(1274464745736*f(x)+68236149545)*(f(x)*x^4-590*f(x)*x^2+x^3-21*x^2+f(x)-295*x-21) ogf] A041844 7.24690 [-(x^3-21*x^2-295*x-21)/(x^4-590*x^2+1) ogf] A041845 10.2241 [-2*(7+589*x+4130*x^2-2*x^3-21*x^4+x^5)/(x^2-14*x-1)/(x^4-590*x^2+1) lgdogf] A041845 11.6096 [-(x^2-14*x-1)/(x^4-590*x^2+1) ogf] A041845 6.16442 [-(410059442*f(x)-114461)*(f(x)*x^4-590*f(x)*x^2+x^2+f(x)-14*x-1) ogf] A041846 5.04390 [-(x^9-21*x^8+211*x^7-232*x^6+443*x^5+4662*x^4+443*x^3+232*x^2+211*x+21)/(x^10+9324*x^5-1) ogf] A041847 6.11019 [-(x^8-10*x^7+11*x^6-21*x^5+221*x^4+21*x^3+11*x^2+10*x+1)/(x^10+9324*x^5-1) ogf] A041850 3.54919 [-(161745075282*f(x)+17310094663)*(f(x)*x^4-296*f(x)*x^2+x^3-21*x^2+f(x)-148*x-21) ogf] A041850 6.59849 [-(x^3-21*x^2-148*x-21)/(x^4-296*x^2+1) ogf] A041851 10.4840 [-(7+590*x+2*x^5-21*x^4-4*x^3+2072*x^2)/(x^2-7*x-1)/(x^4-296*x^2+1) lgdogf] A041851 11.9275 [-(x^2-7*x-1)/(x^4-296*x^2+1) ogf] A041851 6.39746 [-(51692258*f(x)-57425)*(f(x)*x^4-296*f(x)*x^2+x^2+f(x)-7*x-1) ogf] A041852 3.52047 [-(43873646208*f(x)+5476911773)*(f(x)*x^4-254*f(x)*x^2+x^3-21*x^2+f(x)-127*x-21) ogf] A041852 6.44592 [-(x^3-21*x^2-127*x-21)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A041853 11.6779 [-(x^2-6*x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A041853 6.26362 [-(32644082*f(x)-45213)*(f(x)*x^4-254*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A041853 9.15164 [-2*(3+253*x-9*x^4+x^5-2*x^3+762*x^2)/(x^2-16*x+1)/(x^2+16*x+1)/(x^2-6*x-1) lgdogf] A041866 4.27231 [-(436907730*f(x)+108934279)*(f(x)*x^4-128*f(x)*x^2+x^3-21*x^2+f(x)-64*x-21) ogf] A041866 6.34912 [-(64+5418*x+x^6-42*x^5+8189*x^2-84*x^3-64*x^4)/(x^3-21*x^2-64*x-21)/(x^4-128*x^2+1) lgdogf] A041866 7.69014 [-(x^3-21*x^2-64*x-21)/(x^4-128*x^2+1) ogf] A041867 10.4851 [-(3+254*x+2*x^5-4*x^3-9*x^4+384*x^2)/(x^2-3*x-1)/(x^4-128*x^2+1) lgdogf] A041867 11.5767 [-(x^2-3*x-1)/(x^4-128*x^2+1) ogf] A041867 6.2663 [-(4161026*f(x)-13569)*(f(x)*x^4-128*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A041868 4.76479 [-(x^11-21*x^10+43*x^9-64*x^8+299*x^7-363*x^6-1025*x^5-363*x^4-299*x^3-64*x^2-43*x-21)/(x^12-2050*x^6+1) ogf] A041869 5.61047 [-(x^10-2*x^9+3*x^8-14*x^7+17*x^6-48*x^5-17*x^4-14*x^3-3*x^2-2*x-1)/(x^12-2050*x^6+1) ogf] A041872 5.98813 [-(x^5-21*x^4+43*x^3+107*x^2+43*x+21)/(x^6+214*x^3-1) ogf] A041873 9.36467 [-(x^4-2*x^3+5*x^2+2*x+1)/(x^6+214*x^3-1) ogf] A041880 4.55523 [-(580723836*f(x)+216890279)*(f(x)*x^4-86*f(x)*x^2+x^3-21*x^2+f(x)-43*x-21) ogf] A041880 6.88693 [-(43+3654*x+3695*x^2-84*x^3-43*x^4-42*x^5+x^6)/(x+1)/(x^2-22*x-21)/(x^4-86*x^2+1) lgdogf] A041880 8.25222 [-(x+1)*(x^2-22*x-21)/(x^4-86*x^2+1) ogf] A041881 11.4677 [-2*(x+1)*(x^4-4*x^3+2*x^2+84*x+1)/(x^2-2*x-1)/(x^4-86*x^2+1) lgdogf] A041881 12.0731 [-(x^2-2*x-1)/(x^4-86*x^2+1) ogf] A041881 6.79845 [(1256978*f(x)-6365)*(f(x)*x^4-86*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041896 4.93283 [-(x^11-21*x^10+22*x^9-65*x^8+542*x^7-1149*x^6-1691*x^5-1149*x^4-542*x^3-65*x^2-22*x-21)/(x^12-3382*x^6+1) ogf] A041897 5.49649 [-(x^10-x^9+3*x^8-25*x^7+53*x^6-78*x^5-53*x^4-25*x^3-3*x^2-x-1)/(x^12-3382*x^6+1) ogf] A041902 5.33642 [-(x^7-21*x^6+22*x^5-65*x^4-87*x^3-65*x^2-22*x-21)/(x^8-174*x^4+1) ogf] A041903 8.14905 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-174*x^4+1) ogf] A041916 4.97456 [-(x^7-21*x^6+22*x^5-219*x^4-241*x^3-219*x^2-22*x-21)/(x^4-22*x^2+1)/(x^4+22*x^2+1) ogf] A041917 7.97871 [-(x^2-x-1)*(x^4+11*x^2+1)/(x^4-22*x^2+1)/(x^4+22*x^2+1) ogf] A041920 6.49402 [-(x^7-21*x^6+22*x^5-461*x^4-483*x^3-461*x^2-22*x-21)/(x^8-966*x^4+1) ogf] A041921 7.87751 [-(x^2-x-1)*(x^4+22*x^2+1)/(x^8-966*x^4+1) ogf] A041922 4.52438 [-(80333526*f(x)+59753821)*(f(x)*x^4-44*f(x)*x^2+x^3-21*x^2+f(x)-22*x-21) ogf] A041922 6.72496 [-(22+1890*x+965*x^2-84*x^3-22*x^4-42*x^5+x^6)/(x^3-21*x^2-22*x-21)/(x^4-44*x^2+1) lgdogf] A041922 8.06520 [-(x^3-21*x^2-22*x-21)/(x^4-44*x^2+1) ogf] A041923 11.5648 [-(x^2-x-1)/(x^4-44*x^2+1) ogf] A041923 6.57604 [(166322*f(x)-1673)*(f(x)*x^4-44*f(x)*x^2+x^2+f(x)-x-1) ogf] A041924 12.5607 [-(x+22)/(x^2+44*x-1) ogf] A041924 13.7982 [(-11-22*x+(121+485*x+485*x^2)^(1/2))/(x+1) revogf] A041924 16.5578 [-(969+44*x+x^2)/(x+22)/(x^2+44*x-1) lgdogf] A041924 6.48742 [(42680*f(x)+1)*(f(x)*x^2+44*f(x)*x-f(x)+x+22) ogf] A041924 6.86459 [{a(n+2)-44*a(n+1)-a(n),a(0)=22,a(1)=969} ogf] A041924 8.31486 [-(x^2+44*x+969)/(x^3+66*x^2+967*x-22) lgdogf] A041925 12.4767 [-(-2*x-44)/(-x^2-44*x+1) lgdogf] A041925 15.7113 [1/2/x*(-1-44*x+(1+88*x+1940*x^2)^(1/2)) revogf] A041925 18.3480 [-1/(x^2+44*x-1) ogf] A041925 27.8519 [-2*(22+x)/(x^2-1+44*x) lgdogf] A041925 7.08901 [-(969*f(x)-1)*(f(x)*x^2+44*f(x)*x-f(x)+1) ogf] A041925 7.42658 [{-a(n+2)+44*a(n+1)+a(n),a(0)=1,a(1)=44} ogf] A041926 4.05205 [-(19496437762824*f(x)+664422414173)*(f(x)*x^4-970*f(x)*x^2+x^3-22*x^2+f(x)-485*x-22) ogf] A041926 7.70459 [-(x^3-22*x^2-485*x-22)/(x^4-970*x^2+1) ogf] A041927 5.05007 [-(1823460322*f(x)+1939)*(f(x)*x^4-970*f(x)*x^2+x^2+f(x)-22*x-1) ogf] A041927 8.03649 [-2*(11+969*x+x^5-33*x^4-2*x^3+10670*x^2)/(x^2-22*x-1)/(x^4-970*x^2+1) lgdogf] A041927 9.42680 [-(x^2-22*x-1)/(x^4-970*x^2+1) ogf] A041930 3.7872 [-(1229852699504*f(x)+83795725861)*(f(x)*x^4-486*f(x)*x^2+x^3-22*x^2+f(x)-243*x-22) ogf] A041930 7.09432 [-(x^3-22*x^2-243*x-22)/(x^2-22*x-1)/(x^2+22*x-1) ogf] A041931 5.26526 [-(229108178*f(x)-116641)*(f(x)*x^4-486*f(x)*x^2+x^2+f(x)-11*x-1) ogf] A041931 7.48258 [-(11+970*x+2*x^5-4*x^3-33*x^4+5346*x^2)/(x^2+22*x-1)/(x^2-11*x-1)/(x^2-22*x-1) lgdogf] A041931 9.91623 [-(x^2-11*x-1)/(x^2-22*x-1)/(x^2+22*x-1) ogf] A041944 3.90782 [-(4441308696*f(x)+831154201)*(f(x)*x^4-178*f(x)*x^2+x^3-22*x^2+f(x)-89*x-22) ogf] A041944 5.77623 [-(89+7876*x+x^6-44*x^5-89*x^4-88*x^3+15839*x^2)/(x^3-22*x^2-89*x-22)/(x^4-178*x^2+1) lgdogf] A041944 7.08991 [-(x^3-22*x^2-89*x-22)/(x^4-178*x^2+1) ogf] A041945 11.1404 [-2*(2+177*x+x^5-6*x^4-2*x^3+356*x^2)/(x^2-4*x-1)/(x^4-178*x^2+1) lgdogf] A041945 12.2876 [-(x^2-4*x-1)/(x^4-178*x^2+1) ogf] A041945 6.59061 [-(11215426*f(x)-25277)*(f(x)*x^4-178*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A041953 5.48673 [-(x^10-2*x^9+3*x^8-65*x^7+68*x^6-201*x^5-68*x^4-65*x^3-3*x^2-2*x-1)/(x^12-8980*x^6+1) ogf] A041962 4.78134 [-(x+1)*(x^6-23*x^5+68*x^4-270*x^3-179*x^2-23*x-22)/(x^4-30*x^2+1)/(x^4+30*x^2+1) ogf] A041963 8.01422 [-(x^2-2*x-1)*(x^4+10*x^2+1)/(x^4-30*x^2+1)/(x^4+30*x^2+1) ogf] A041964 5.00555 [-(x+1)*(x^6-23*x^5+68*x^4-450*x^3-359*x^2-23*x-22)/(x^8-1618*x^4+1) ogf] A041965 7.65720 [-(x^2-2*x-1)*(x^4+18*x^2+1)/(x^8-1618*x^4+1) ogf] A041966 4.58789 [-(1458739304*f(x)+544915933)*(f(x)*x^4-90*f(x)*x^2+x^3-22*x^2+f(x)-45*x-22) ogf] A041966 6.99398 [-(45+4004*x-45*x^4-88*x^3+x^6-44*x^5+4047*x^2)/(x+1)/(x^2-23*x-22)/(x^4-90*x^2+1) lgdogf] A041966 8.37788 [-(x+1)*(x^2-23*x-22)/(x^4-90*x^2+1) ogf] A041967 11.5692 [-2*(x+1)*(x^4-4*x^3+2*x^2+88*x+1)/(x^2-2*x-1)/(x^4-90*x^2+1) lgdogf] A041967 12.1781 [-(x^2-2*x-1)/(x^4-90*x^2+1) ogf] A041967 6.85757 [(1441442*f(x)-7021)*(f(x)*x^4-90*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A041969 5.76143 [-(x^4-x^3+2*x^2+x+1)*(x^6-30*x^3-1)/(x^2-4*x+1)/(x^2+4*x+1)/(x^4-4*x^3+15*x^2-4*x+1)/(x^4+4*x^3+15*x^2+4*x+1) ogf] A041974 4.92179 [-(x^11-22*x^10+23*x^9-45*x^8+113*x^7-158*x^6-271*x^5-158*x^4-113*x^3-45*x^2-23*x-22)/(x^12-542*x^6+1) ogf] A041975 6.15456 [-(x^6-6*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-542*x^6+1) ogf] A041983 5.42886 [-(x^10-x^9+3*x^8-67*x^7+137*x^6-204*x^5-137*x^4-67*x^3-3*x^2-x-1)/(x^12-9250*x^6+1) ogf] A041991 5.65231 [-(x^10-x^9+4*x^8-25*x^7+79*x^6-104*x^5-79*x^4-25*x^3-4*x^2-x-1)/(x^12-4734*x^6+1) ogf] A042008 4.73787 [-(x^7-22*x^6+23*x^5-505*x^4-528*x^3-505*x^2-23*x-22)/(x^8-1056*x^4+1) ogf] A042009 7.42616 [-(x^2-x-1)*(x^4+23*x^2+1)/(x^8-1056*x^4+1) ogf] A042010 4.07915 [-(100456224*f(x)+74750501)*(f(x)*x^4-46*f(x)*x^2+x^3-22*x^2+f(x)-23*x-22) ogf] A042010 6.02748 [-(23+2068*x+x^6-44*x^5-23*x^4-88*x^3+1055*x^2)/(x^3-22*x^2-23*x-22)/(x^4-46*x^2+1) lgdogf] A042010 7.33065 [-(x^3-22*x^2-23*x-22)/(x^4-46*x^2+1) ogf] A042011 12.8123 [-(x^2-x-1)/(x^4-46*x^2+1) ogf] A042011 6.35138 [-(-2*x^5+3*x^4+4*x^3-46*x^2-90*x-1)/(-x^6+x^5+47*x^4-46*x^3-47*x^2+x+1) lgdogf] A042011 7.28541 [(190258*f(x)-1841)*(f(x)*x^4-46*f(x)*x^2+x^2+f(x)-x-1) ogf] A042012 12.2426 [1/2/(x+1)*(-23-46*x+(529+2120*x+2120*x^2)^(1/2)) revogf] A042012 12.7336 [-(x+23)/(x^2+46*x-1) ogf] A042012 16.3235 [-(1059+46*x+x^2)/(x+23)/(x^2+46*x-1) lgdogf] A042012 6.57669 [(48760*f(x)+1)*(f(x)*x^2+46*f(x)*x-f(x)+x+23) ogf] A042012 6.87907 [{a(n+2)-46*a(n+1)-a(n),a(0)=23,a(1)=1059} ogf] A042012 8.19834 [-(x^2+46*x+1059)/(x^3+69*x^2+1057*x-23) lgdogf] A042013 12.4767 [-(-2*x-46)/(-x^2-46*x+1) lgdogf] A042013 15.7113 [1/2/x*(-1-46*x+(1+92*x+2120*x^2)^(1/2)) revogf] A042013 18.3480 [-1/(x^2+46*x-1) ogf] A042013 27.8519 [-2*(23+x)/(x^2-1+46*x) lgdogf] A042013 7.00935 [-(1059*f(x)-1)*(f(x)*x^2+46*f(x)*x-f(x)+1) ogf] A042013 7.42658 [{-a(n+2)+46*a(n+1)+a(n),a(0)=1,a(1)=46} ogf] A042014 4.02225 [-(29064260003706*f(x)+947449012913)*(f(x)*x^4-1060*f(x)*x^2+x^3-23*x^2+f(x)-530*x-23) ogf] A042014 7.59758 [-(x^3-23*x^2-530*x-23)/(x^4-1060*x^2+1) ogf] A042015 11.0077 [-(x^2-23*x-1)/(x^4-1060*x^2+1) ogf] A042015 5.94223 [-(2379780562*f(x)+2119)*(f(x)*x^4-1060*f(x)*x^2+x^2+f(x)-23*x-1) ogf] A042015 9.29772 [-(23+2118*x+2*x^5-4*x^3-69*x^4+24380*x^2)/(x^2-23*x-1)/(x^4-1060*x^2+1) lgdogf] A042018 5.02910 [-(x^9-23*x^8+254*x^7-277*x^6+531*x^5+6118*x^4+531*x^3+277*x^2+254*x+23)/(x^10+12236*x^5-1) ogf] A042019 6.35069 [-(x^8-11*x^7+12*x^6-23*x^5+265*x^4+23*x^3+12*x^2+11*x+1)/(x^10+12236*x^5-1) ogf] A042040 4.92144 [-(x^7-23*x^6+70*x^5-793*x^4-2449*x^3-793*x^2-70*x-23)/(x^4+70*x^2+1)/(x^4-70*x^2+1) ogf] A042041 7.04045 [-(x^2-3*x-1)*(x^4+35*x^2+1)/(x^4+70*x^2+1)/(x^4-70*x^2+1) ogf] A042043 5.59597 [-(x^10-2*x^9+3*x^8-26*x^7+29*x^6-84*x^5-29*x^4-26*x^3-3*x^2-2*x-1)/(x^12-3922*x^6+1) ogf] A042045 5.88947 [-(x^2-2*x-1)*(x^8+4*x^6+15*x^4+4*x^2+1)/(x^12-1402*x^6+1) ogf] A042056 4.64772 [-(907003344*f(x)+338871409)*(f(x)*x^4-94*f(x)*x^2+x^3-23*x^2+f(x)-47*x-23) ogf] A042056 7.02967 [-(47+4370*x+x^6-47*x^4-92*x^3-46*x^5+4415*x^2)/(x+1)/(x^2-24*x-23)/(x^4-94*x^2+1) lgdogf] A042056 8.41977 [-(x+1)*(x^2-24*x-23)/(x^4-94*x^2+1) ogf] A042057 10.4851 [-2*(x+1)*(x^4-4*x^3+2*x^2+92*x+1)/(x^2-2*x-1)/(x^4-94*x^2+1) lgdogf] A042057 11.0532 [-(x^2-2*x-1)/(x^4-94*x^2+1) ogf] A042057 6.10559 [-(126394*f(x)-593)*(f(x)*x^4-94*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042066 6.04237 [-(x^9-23*x^8+24*x^7-47*x^6+71*x^5+118*x^4+71*x^3+47*x^2+24*x+23)/(x^10+236*x^5-1) ogf] A042067 6.92168 [-(x^4+2*x^3+4*x^2+3*x+1)*(x^4-3*x^3+4*x^2-2*x+1)/(x^10+236*x^5-1) ogf] A042072 6.71106 [-(x^7-23*x^6+24*x^5-47*x^4-71*x^3-47*x^2-24*x-23)/(x^4+12*x^2+1)/(x^4-12*x^2+1) ogf] A042073 8.49527 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^4+12*x^2+1)/(x^4-12*x^2+1) ogf] A042080 5.36558 [-(x^7-23*x^6+24*x^5-71*x^4-95*x^3-71*x^2-24*x-23)/(x^8-190*x^4+1) ogf] A042081 7.62610 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-190*x^4+1) ogf] A042087 5.57110 [-(x^10-x^9+5*x^8-16*x^7+69*x^6-85*x^5-69*x^4-16*x^3-5*x^2-x-1)/(x^4-16*x^2+1)/(x^8+16*x^6+255*x^4+16*x^2+1) ogf] A042088 5.05558 [-(x^7-23*x^6+24*x^5-119*x^4-143*x^3-119*x^2-24*x-23)/(x^8-286*x^4+1) ogf] A042089 8.16315 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-286*x^4+1) ogf] A042092 4.72721 [-(x^7-23*x^6+24*x^5-167*x^4-191*x^3-167*x^2-24*x-23)/(x^8-382*x^4+1) ogf] A042093 7.85265 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^8-382*x^4+1) ogf] A042096 4.97456 [-(x^7-23*x^6+24*x^5-263*x^4-287*x^3-263*x^2-24*x-23)/(x^4+24*x^2+1)/(x^4-24*x^2+1) ogf] A042097 8.11569 [-(x^2-x-1)*(x^4+12*x^2+1)/(x^4+24*x^2+1)/(x^4-24*x^2+1) ogf] A042098 4.72731 [-(x^7-23*x^6+24*x^5-359*x^4-383*x^3-359*x^2-24*x-23)/(x^8-766*x^4+1) ogf] A042099 7.60703 [-(x^2-x-1)*(x^4+16*x^2+1)/(x^8-766*x^4+1) ogf] A042100 4.73787 [-(x^7-23*x^6+24*x^5-551*x^4-575*x^3-551*x^2-24*x-23)/(x^8-1150*x^4+1) ogf] A042101 7.42616 [-(x^2-x-1)*(x^4+24*x^2+1)/(x^8-1150*x^4+1) ogf] A042102 4.15932 [-(24884390*f(x)+18523271)*(f(x)*x^4-48*f(x)*x^2+x^3-23*x^2+f(x)-24*x-23) ogf] A042102 6.09798 [-(24+2254*x+x^6-46*x^5-24*x^4-92*x^3+1149*x^2)/(x^3-23*x^2-24*x-23)/(x^4-48*x^2+1) lgdogf] A042102 7.41442 [-(x^3-23*x^2-24*x-23)/(x^4-48*x^2+1) ogf] A042103 11.4735 [-(1+94*x+2*x^5-4*x^3-3*x^4+48*x^2)/(x^2-x-1)/(x^4-48*x^2+1) lgdogf] A042103 11.8845 [-(x^2-x-1)/(x^4-48*x^2+1) ogf] A042103 6.75787 [(216386*f(x)-2017)*(f(x)*x^4-48*f(x)*x^2+x^2+f(x)-x-1) ogf] A042104 11.0616 [-(x+24)/(x^2+48*x-1) ogf] A042104 12.1271 [(-12-24*x+(144+577*x+577*x^2)^(1/2))/(x+1) revogf] A042104 14.1483 [-(1153+48*x+x^2)/(x+24)/(x^2+48*x-1) lgdogf] A042104 5.71312 [(55392*f(x)+1)*(f(x)*x^2+48*f(x)*x-f(x)+x+24) ogf] A042104 5.97580 [{a(n+2)-48*a(n+1)-a(n),a(0)=24,a(1)=1153} ogf] A042104 7.12185 [-(x^2+48*x+1153)/(x^3+72*x^2+1151*x-24) lgdogf] A042105 12.7539 [-(-2*x-48)/(-x^2-48*x+1) lgdogf] A042105 16.0668 [1/2/x*(-1-48*x+(1+96*x+2308*x^2)^(1/2)) revogf] A042105 18.7558 [-1/(x^2+48*x-1) ogf] A042105 28.4821 [-2*(24+x)/(x^2-1+48*x) lgdogf] A042105 7.16512 [-(1153*f(x)-1)*(f(x)*x^2+48*f(x)*x-f(x)+1) ogf] A042105 7.59162 [{-a(n+2)+48*a(n+1)+a(n),a(0)=1,a(1)=48} ogf] A042106 4.05219 [-(42599975390304*f(x)+1330864032961)*(f(x)*x^4-1154*f(x)*x^2+x^3-24*x^2+f(x)-577*x-24) ogf] A042106 7.71042 [-(x^3-24*x^2-577*x-24)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A042107 11.0077 [-(x^2-24*x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A042107 5.94223 [-(3070932482*f(x)+2307)*(f(x)*x^4-1154*f(x)*x^2+x^2+f(x)-24*x-1) ogf] A042107 8.25172 [-2*(12+1153*x+x^5-2*x^3-36*x^4+13848*x^2)/(x^2-34*x+1)/(x^2+34*x+1)/(x^2-24*x-1) lgdogf] A042108 3.98124 [-(8447629658208*f(x)+395810625985)*(f(x)*x^4-770*f(x)*x^2+x^3-24*x^2+f(x)-385*x-24) ogf] A042108 7.51389 [-(x^3-24*x^2-385*x-24)/(x^4-770*x^2+1) ogf] A042109 10.5301 [-(x^2-16*x-1)/(x^4-770*x^2+1) ogf] A042109 5.59121 [-(911877122*f(x)-195581)*(f(x)*x^4-770*f(x)*x^2+x^2+f(x)-16*x-1) ogf] A042109 9.26079 [-2*(8+769*x+6160*x^2-2*x^3-24*x^4+x^5)/(x^2-16*x-1)/(x^4-770*x^2+1) lgdogf] A042110 3.81956 [-(2683293156960*f(x)+167608604737)*(f(x)*x^4-578*f(x)*x^2+x^3-24*x^2+f(x)-289*x-24) ogf] A042110 7.20875 [-(x^3-24*x^2-289*x-24)/(x^2-24*x-1)/(x^2+24*x-1) ogf] A042111 11.5615 [-(x^2-12*x-1)/(x^2-24*x-1)/(x^2+24*x-1) ogf] A042111 6.13884 [-(385530626*f(x)-165309)*(f(x)*x^4-578*f(x)*x^2+x^2+f(x)-12*x-1) ogf] A042111 8.85880 [-2*(6+577*x+3468*x^2-2*x^3-18*x^4+x^5)/(x^2-12*x-1)/(x^2-24*x-1)/(x^2+24*x-1) lgdogf] A042114 3.67228 [-(534161359968*f(x)+50034009793)*(f(x)*x^4-386*f(x)*x^2+x^3-24*x^2+f(x)-193*x-24) ogf] A042114 6.82734 [-(x^3-24*x^2-193*x-24)/(x^4-386*x^2+1) ogf] A042115 11.0226 [-(x^2-8*x-1)/(x^4-386*x^2+1) ogf] A042115 5.85886 [-(114725378*f(x)-98045)*(f(x)*x^4-386*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A042115 9.67836 [-2*(4+385*x+x^5-12*x^4-2*x^3+1544*x^2)/(x^2-8*x-1)/(x^4-386*x^2+1) lgdogf] A042118 3.54919 [-(170324681568*f(x)+21265818625)*(f(x)*x^4-290*f(x)*x^2+x^3-24*x^2+f(x)-145*x-24) ogf] A042118 6.59849 [-(x^3-24*x^2-145*x-24)/(x^4-290*x^2+1) ogf] A042119 10.8116 [-2*(3+289*x+x^5-9*x^4-2*x^3+870*x^2)/(x^2-6*x-1)/(x^4-290*x^2+1) lgdogf] A042119 11.9275 [-(x^2-6*x-1)/(x^4-290*x^2+1) ogf] A042119 6.39746 [-(48608642*f(x)-62061)*(f(x)*x^4-290*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A042126 3.91171 [-(34166850144*f(x)+6395069761)*(f(x)*x^4-194*f(x)*x^2+x^3-24*x^2+f(x)-97*x-24) ogf] A042126 7.20873 [-(x^3-24*x^2-97*x-24)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A042127 11.1290 [-(x^2-4*x-1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A042127 6.07972 [-(2075246*f(x)-4379)*(f(x)*x^4-194*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A042131 5.59068 [-(x^10-3*x^9+7*x^8-31*x^7+69*x^6-238*x^5-69*x^4-31*x^3-7*x^2-3*x-1)/(x^12-11562*x^6+1) ogf] A042134 4.28276 [-(10977559008*f(x)+2737963873)*(f(x)*x^4-146*f(x)*x^2+x^3-24*x^2+f(x)-73*x-24) ogf] A042134 5.75684 [-(73+7056*x+10655*x^2-96*x^3-73*x^4-48*x^5+x^6)/(x^2-12*x-1)/(x^2+12*x-1)/(x^3-24*x^2-73*x-24) lgdogf] A042134 7.89251 [-(x^3-24*x^2-73*x-24)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A042135 11.7798 [-(x^2-3*x-1)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A042135 6.37624 [-(6181058*f(x)-18105)*(f(x)*x^4-146*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A042135 9.23009 [-(3+290*x+2*x^5+438*x^2-4*x^3-9*x^4)/(x^2-12*x-1)/(x^2+12*x-1)/(x^2-3*x-1) lgdogf] A042150 4.61083 [-(2235343200*f(x)+835291777)*(f(x)*x^4-98*f(x)*x^2+x^3-24*x^2+f(x)-49*x-24) ogf] A042150 6.18916 [-(49+4752*x+x^6-49*x^4-96*x^3-48*x^5+4799*x^2)/(x+1)/(x^2-10*x+1)/(x^2+10*x+1)/(x^2-25*x-24) lgdogf] A042150 8.41977 [-(x+1)*(x^2-25*x-24)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A042151 12.3356 [-(x^2-2*x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A042151 6.68657 [-(1862786*f(x)-8429)*(f(x)*x^4-98*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042151 9.90541 [-2*(x+1)*(x^4-4*x^3+2*x^2+96*x+1)/(x^2-10*x+1)/(x^2+10*x+1)/(x^2-2*x-1) lgdogf] A042154 4.91952 [-(x^11-24*x^10+25*x^9-49*x^8+319*x^7-368*x^6-687*x^5-368*x^4-319*x^3-49*x^2-25*x-24)/(x^12-1374*x^6+1) ogf] A042155 5.79956 [-(x^2-2*x-1)*(x^4-x^3+2*x^2+x+1)*(x^4+2*x^3+5*x^2-2*x+1)/(x^12-1374*x^6+1) ogf] A042180 5.54654 [-(x^7-24*x^6+25*x^5-99*x^4-124*x^3-99*x^2-25*x-24)/(x^8-248*x^4+1) ogf] A042181 7.94833 [-(x^2-x-1)*(x^4+5*x^2+1)/(x^8-248*x^4+1) ogf] A042190 4.97456 [-(x^7-24*x^6+25*x^5-224*x^4-249*x^3-224*x^2-25*x-24)/(x^8-498*x^4+1) ogf] A042191 8.11717 [-(x^2-x-1)*(x^4+10*x^2+1)/(x^8-498*x^4+1) ogf] A042196 4.81817 [-(x^7-24*x^6+25*x^5-599*x^4-624*x^3-599*x^2-25*x-24)/(x^8-1248*x^4+1) ogf] A042197 7.42616 [-(x^2-x-1)*(x^4+25*x^2+1)/(x^8-1248*x^4+1) ogf] A042198 10.2808 [-(x^3-24*x^2-25*x-24)/(x^4-50*x^2+1) ogf] A042198 5.67499 [-(152756448*f(x)+113744545)*(f(x)*x^4-50*f(x)*x^2+x^3-24*x^2+f(x)-25*x-24) ogf] A042198 8.50238 [-(25+2448*x+x^6-48*x^5-25*x^4-96*x^3+1247*x^2)/(x^3-24*x^2-25*x-24)/(x^4-50*x^2+1) lgdogf] A042199 11.4735 [-(1+98*x+2*x^5-4*x^3-3*x^4+50*x^2)/(x^2-x-1)/(x^4-50*x^2+1) lgdogf] A042199 11.8845 [-(x^2-x-1)/(x^4-50*x^2+1) ogf] A042199 6.75787 [(244802*f(x)-2201)*(f(x)*x^4-50*f(x)*x^2+x^2+f(x)-x-1) ogf] A042200 10.6662 [1/2/(x+1)*(-25-50*x+(625+2504*x+2504*x^2)^(1/2)) revogf] A042200 11.1177 [-(x+25)/(x^2+50*x-1) ogf] A042200 14.2216 [-(1251+50*x+x^2)/(x+25)/(x^2+50*x-1) lgdogf] A042200 5.74212 [(62600*f(x)+1)*(f(x)*x^2+50*f(x)*x-f(x)+x+25) ogf] A042200 6.00614 [{a(n+2)-50*a(n+1)-a(n),a(0)=25,a(1)=1251} ogf] A042200 7.15800 [-(x^2+50*x+1251)/(x^3+75*x^2+1249*x-25) lgdogf] A042201 12.8094 [-(-2*x-50)/(-x^2-50*x+1) lgdogf] A042201 15.7344 [1/2/x*(-1-50*x+(1+100*x+2504*x^2)^(1/2)) revogf] A042201 18.8373 [-1/(x^2+50*x-1) ogf] A042201 28.6081 [-2*(25+x)/(x^2-1+50*x) lgdogf] A042201 7.19627 [-(1251*f(x)-1)*(f(x)*x^2+50*f(x)*x-f(x)+1) ogf] A042201 7.62462 [{-a(n+2)+50*a(n+1)+a(n),a(0)=1,a(1)=50} ogf] A042202 4.09173 [-(61475625781350*f(x)+1843776970001)*(f(x)*x^4-1252*f(x)*x^2+x^3-25*x^2+f(x)-626*x-25) ogf] A042202 7.78564 [-(x^3-25*x^2-626*x-25)/(x^4-1252*x^2+1) ogf] A042203 11.0542 [-(x^2-25*x-1)/(x^4-1252*x^2+1) ogf] A042203 5.9673 [-(3921890002*f(x)+2503)*(f(x)*x^4-1252*f(x)*x^2+x^2+f(x)-25*x-1) ogf] A042203 9.33762 [-(25+2502*x+2*x^5-4*x^3-75*x^4+31300*x^2)/(x^2-25*x-1)/(x^4-1252*x^2+1) lgdogf] A042207 6.37727 [-(x^8-12*x^7+13*x^6-25*x^5+313*x^4+25*x^3+13*x^2+12*x+1)/(x^10+15700*x^5-1) ogf] A042208 3.81589 [-(795393906300*f(x)+59614679563)*(f(x)*x^4-502*f(x)*x^2+x^3-25*x^2+f(x)-251*x-25) ogf] A042208 7.09432 [-(x^3-25*x^2-251*x-25)/(x^4-502*x^2+1) ogf] A042209 11.2724 [-(x^2-10*x-1)/(x^4-502*x^2+1) ogf] A042209 6.09322 [-(36072286*f(x)-21371)*(f(x)*x^4-502*f(x)*x^2+x^2+f(x)-10*x-1) ogf] A042209 9.92217 [-2*(5+501*x+x^5-2*x^3-15*x^4+2510*x^2)/(x^2-10*x-1)/(x^4-502*x^2+1) lgdogf] A042212 4.64060 [-(x^7-25*x^6+176*x^5-1081*x^4-7743*x^3-1081*x^2-176*x-25)/(x^8-15486*x^4+1) ogf] A042213 7.01063 [-(x^2-7*x-1)*(x^4+44*x^2+1)/(x^8-15486*x^4+1) ogf] A042218 3.56875 [-(7785588950*f(x)+1166271577)*(f(x)*x^4-252*f(x)*x^2+x^3-25*x^2+f(x)-126*x-25) ogf] A042218 6.48406 [-(x^3-25*x^2-126*x-25)/(x^4-252*x^2+1) ogf] A042219 10.2163 [-(5+502*x-15*x^4+2*x^5-4*x^3+1260*x^2)/(x^2-5*x-1)/(x^4-252*x^2+1) lgdogf] A042219 11.6281 [-(x^2-5*x-1)/(x^4-252*x^2+1) ogf] A042219 6.23686 [-(31878002*f(x)-49897)*(f(x)*x^4-252*f(x)*x^2+x^2+f(x)-5*x-1) ogf] A042233 5.61489 [-(x^10-2*x^9+3*x^8-74*x^7+77*x^6-228*x^5-77*x^4-74*x^3-3*x^2-2*x-1)/(x^12-11554*x^6+1) ogf] A042240 4.53822 [-(x+1)*(x^6-26*x^5+77*x^4-204*x^3-101*x^2-26*x-25)/(x^8-610*x^4+1) ogf] A042241 8.32710 [-(x^2-2*x-1)*(x^4+6*x^2+1)/(x^8-610*x^4+1) ogf] A042248 4.57453 [-(1365781300*f(x)+510431663)*(f(x)*x^4-102*f(x)*x^2+x^3-25*x^2+f(x)-51*x-25) ogf] A042248 6.12261 [-(51+5150*x+x^6-51*x^4-100*x^3-50*x^5+5199*x^2)/(x+1)/(x^2+10*x-1)/(x^2-10*x-1)/(x^2-26*x-25) lgdogf] A042248 8.29949 [-(x+1)*(x^2-26*x-25)/(x^2+10*x-1)/(x^2-10*x-1) ogf] A042249 11.3228 [-(x^2-2*x-1)/(x^2+10*x-1)/(x^2-10*x-1) ogf] A042249 6.42354 [(2101202*f(x)-9181)*(f(x)*x^4-102*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042249 9.11201 [-2*(1+x)*(x^4-4*x^3+2*x^2+100*x+1)/(x^2+10*x-1)/(x^2-10*x-1)/(x^2-2*x-1) lgdogf] A042250 5.04009 [-(x^11-25*x^10+26*x^9-51*x^8+842*x^7-893*x^6-1735*x^5-893*x^4-842*x^3-51*x^2-26*x-25)/(x^12-3470*x^6+1) ogf] A042251 5.49649 [-(x^4-x^3+2*x^2+x+1)*(x^6-34*x^3-1)/(x^12-3470*x^6+1) ogf] A042269 5.63563 [-(x^10-x^9+3*x^8-13*x^7+29*x^6-42*x^5-29*x^4-13*x^3-3*x^2-x-1)/(x^4-13*x^2+1)/(x^8+13*x^6+168*x^4+13*x^2+1) ogf] A042274 5.43099 [-(x^7-25*x^6+26*x^5-77*x^4-103*x^3-77*x^2-26*x-25)/(x^8-206*x^4+1) ogf] A042275 7.69771 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-206*x^4+1) ogf] A042292 4.61926 [-(x^7-25*x^6+26*x^5-311*x^4-337*x^3-311*x^2-26*x-25)/(x^4+26*x^2+1)/(x^4-26*x^2+1) ogf] A042293 7.53941 [-(x^2-x-1)*(x^4+13*x^2+1)/(x^4+26*x^2+1)/(x^4-26*x^2+1) ogf] A042296 4.87171 [-(x^7-25*x^6+26*x^5-649*x^4-675*x^3-649*x^2-26*x-25)/(x^8-1350*x^4+1) ogf] A042297 7.45917 [-(x^2-x-1)*(x^4+26*x^2+1)/(x^8-1350*x^4+1) ogf] A042298 10.3690 [-(x^3-25*x^2-26*x-25)/(x^4-52*x^2+1) ogf] A042298 5.7237 [-(186031350*f(x)+138562601)*(f(x)*x^4-52*f(x)*x^2+x^3-25*x^2+f(x)-26*x-25) ogf] A042298 8.47330 [-(26+2650*x+x^6-50*x^5-26*x^4-100*x^3+1349*x^2)/(x^3-25*x^2-26*x-25)/(x^4-52*x^2+1) lgdogf] A042299 11.4884 [-(1+102*x+52*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-52*x^2+1) lgdogf] A042299 12.0977 [-(x^2-x-1)/(x^4-52*x^2+1) ogf] A042299 6.87908 [(275602*f(x)-2393)*(f(x)*x^4-52*f(x)*x^2+x^2+f(x)-x-1) ogf] A042300 13.0793 [-(x+26)/(x^2+52*x-1) ogf] A042300 14.3785 [(-13-26*x+(169+677*x+677*x^2)^(1/2))/(x+1) revogf] A042300 16.7749 [-(1353+52*x+x^2)/(x+26)/(x^2+52*x-1) lgdogf] A042300 6.75525 [(70408*f(x)+1)*(f(x)*x^2+52*f(x)*x-f(x)+x+26) ogf] A042300 7.06583 [{a(n+2)-52*a(n+1)-a(n),a(0)=26,a(1)=1353} ogf] A042300 8.42092 [-(x^2+52*x+1353)/(x^3+78*x^2+1351*x-26) lgdogf] A042301 12.9757 [-(-2*x-52)/(-x^2-52*x+1) lgdogf] A042301 15.9424 [1/2/x*(-1-52*x+(1+104*x+2708*x^2)^(1/2)) revogf] A042301 19.0819 [-1/(x^2+52*x-1) ogf] A042301 28.9862 [-2*(x+26)/(x^2-1+52*x) lgdogf] A042301 7.28973 [-(1353*f(x)-1)*(f(x)*x^2+52*f(x)*x-f(x)+1) ogf] A042301 7.72364 [{-a(n+2)+52*a(n+1)+a(n),a(0)=1,a(1)=52} ogf] A042302 4.15103 [-(87451585738296*f(x)+2522019944861)*(f(x)*x^4-1354*f(x)*x^2+x^3-26*x^2+f(x)-677*x-26) ogf] A042302 7.89847 [-(x^3-26*x^2-677*x-26)/(x^4-1354*x^2+1) ogf] A042303 5.25074 [-(4960947682*f(x)+2707)*(f(x)*x^4-1354*f(x)*x^2+x^2+f(x)-26*x-1) ogf] A042303 8.20062 [-2*(13+1353*x+17602*x^2-2*x^3-39*x^4+x^5)/(x^2-26*x-1)/(x^4-1354*x^2+1) lgdogf] A042303 9.72679 [-(x^2-26*x-1)/(x^4-1354*x^2+1) ogf] A042306 3.92061 [-(5502099325840*f(x)+317272056037)*(f(x)*x^4-678*f(x)*x^2+x^3-26*x^2+f(x)-339*x-26) ogf] A042306 7.39946 [-(x^3-26*x^2-339*x-26)/(x^2+26*x-1)/(x^2-26*x-1) ogf] A042307 10.2940 [-(x^2-13*x-1)/(x^2+26*x-1)/(x^2-26*x-1) ogf] A042307 5.46585 [-(622409426*f(x)-227809)*(f(x)*x^4-678*f(x)*x^2+x^2+f(x)-13*x-1) ogf] A042307 7.67477 [-(13+1354*x+8814*x^2-4*x^3-39*x^4+2*x^5)/(x^2-13*x-1)/(x^2+26*x-1)/(x^2-26*x-1) lgdogf] A042324 3.94561 [-(50801243272*f(x)+9509848765)*(f(x)*x^4-210*f(x)*x^2+x^3-26*x^2+f(x)-105*x-26) ogf] A042324 5.63864 [-(105+10972*x+x^6-52*x^5-104*x^3-105*x^4+22047*x^2)/(x^3-26*x^2-105*x-26)/(x^4-210*x^2+1) lgdogf] A042324 7.22435 [-(x^3-26*x^2-105*x-26)/(x^4-210*x^2+1) ogf] A042325 11.1789 [-(x^2-4*x-1)/(x^4-210*x^2+1) ogf] A042325 5.99595 [-(18432962*f(x)-36541)*(f(x)*x^4-210*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A042327 5.37214 [-(x^10-3*x^9+4*x^8-11*x^7+15*x^6-56*x^5-15*x^4-11*x^3-4*x^2-3*x-1)/(x^12-2942*x^6+1) ogf] A042340 7.62840 [-(x^5-26*x^4+53*x^3+132*x^2+53*x+26)/(x^6+264*x^3-1) ogf] A042341 8.73733 [-(x^4-2*x^3+5*x^2+2*x+1)/(x^6+264*x^3-1) ogf] A042348 5.35029 [-(x^9-26*x^8+53*x^7-556*x^6+5613*x^5+11782*x^4+5613*x^3+556*x^2+53*x+26)/(x^10+23564*x^5-1) ogf] A042349 5.46981 [-(x^8-2*x^7+21*x^6-212*x^5+445*x^4+212*x^3+21*x^2+2*x+1)/(x^10+23564*x^5-1) ogf] A042350 4.53879 [-(3312229752*f(x)+1238039453)*(f(x)*x^4-106*f(x)*x^2+x^3-26*x^2+f(x)-53*x-26) ogf] A042350 6.86028 [-(53+5564*x+x^6-53*x^4-104*x^3-52*x^5+5615*x^2)/(x+1)/(x^2-27*x-26)/(x^4-106*x^2+1) lgdogf] A042350 8.29949 [-(x+1)*(x^2-27*x-26)/(x^4-106*x^2+1) ogf] A042351 10.5817 [-2*(1+x)*(x^4-4*x^3+2*x^2+104*x+1)/(x^2-2*x-1)/(x^4-106*x^2+1) lgdogf] A042351 11.3228 [-(x^2-2*x-1)/(x^4-106*x^2+1) ogf] A042351 6.42354 [(2359138*f(x)-9965)*(f(x)*x^4-106*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042368 5.30725 [-(x^7-26*x^6+27*x^5-53*x^4-80*x^3-53*x^2-27*x-26)/(x^8-160*x^4+1) ogf] A042369 8.07662 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-160*x^4+1) ogf] A042371 5.44675 [-(x^10-x^9+3*x^8-19*x^7+41*x^6-60*x^5-41*x^4-19*x^3-3*x^2-x-1)/(x^12-3202*x^6+1) ogf] A042386 5.13938 [-(x^7-26*x^6+27*x^5-134*x^4-161*x^3-134*x^2-27*x-26)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A042387 6.40880 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A042392 4.97456 [-(x^7-26*x^6+27*x^5-215*x^4-242*x^3-215*x^2-27*x-26)/(x^8-484*x^4+1) ogf] A042393 8.13563 [-(x^2-x-1)*(x^4+9*x^2+1)/(x^8-484*x^4+1) ogf] A042398 4.78134 [-(x^7-26*x^6+27*x^5-458*x^4-485*x^3-458*x^2-27*x-26)/(x^8-970*x^4+1) ogf] A042399 7.87751 [-(x^2-x-1)*(x^4+18*x^2+1)/(x^8-970*x^4+1) ogf] A042400 4.97878 [-(x^7-26*x^6+27*x^5-701*x^4-728*x^3-701*x^2-27*x-26)/(x^8-1456*x^4+1) ogf] A042401 7.52518 [-(x^2-x-1)*(x^4+27*x^2+1)/(x^8-1456*x^4+1) ogf] A042402 4.18526 [-(224866096*f(x)+167533861)*(f(x)*x^4-54*f(x)*x^2+x^3-26*x^2+f(x)-27*x-26) ogf] A042402 7.58199 [-(x^3-26*x^2-27*x-26)/(x^4-54*x^2+1) ogf] A042403 11.4884 [-(1+106*x+54*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-54*x^2+1) lgdogf] A042403 12.0977 [-(x^2-x-1)/(x^4-54*x^2+1) ogf] A042403 6.87908 [(308882*f(x)-2593)*(f(x)*x^4-54*f(x)*x^2+x^2+f(x)-x-1) ogf] A042404 12.6940 [1/2/(x+1)*(-27-54*x+(729+2920*x+2920*x^2)^(1/2)) revogf] A042404 13.1945 [-(x+27)/(x^2+54*x-1) ogf] A042404 16.9253 [-(1459+54*x+x^2)/(x+27)/(x^2+54*x-1) lgdogf] A042404 6.81476 [(78840*f(x)+1)*(f(x)*x^2+54*f(x)*x-f(x)+x+27) ogf] A042404 7.12808 [{a(n+2)-54*a(n+1)-a(n),a(0)=27,a(1)=1459} ogf] A042404 8.49511 [-(x^2+54*x+1459)/(x^3+81*x^2+1457*x-27) lgdogf] A042405 13.0312 [-(-2*x-54)/(-x^2-54*x+1) lgdogf] A042405 16.0117 [1/2/x*(-1-54*x+(1+108*x+2920*x^2)^(1/2)) revogf] A042405 19.1635 [-1/(x^2+54*x-1) ogf] A042405 29.1122 [-2*(x+27)/(x^2-1+54*x) lgdogf] A042405 7.32088 [-(1459*f(x)-1)*(f(x)*x^2+54*f(x)*x-f(x)+1) ogf] A042405 7.75665 [{-a(n+2)+54*a(n+1)+a(n),a(0)=1,a(1)=54} ogf] A042406 4.16019 [-(122764198460994*f(x)+3409336992313)*(f(x)*x^4-1460*f(x)*x^2+x^3-27*x^2+f(x)-730*x-27) ogf] A042406 7.97371 [-(x^3-27*x^2-730*x-27)/(x^4-1460*x^2+1) ogf] A042407 5.29982 [-(6220002962*f(x)+2919)*(f(x)*x^4-1460*f(x)*x^2+x^2+f(x)-27*x-1) ogf] A042407 8.27872 [-(27+2918*x+39420*x^2-4*x^3-81*x^4+2*x^5)/(x^2-27*x-1)/(x^4-1460*x^2+1) lgdogf] A042407 9.81769 [-(x^2-27*x-1)/(x^4-1460*x^2+1) ogf] A042408 4.05205 [-(12162235937976*f(x)+506585927129)*(f(x)*x^4-974*f(x)*x^2+x^3-27*x^2+f(x)-487*x-27) ogf] A042408 7.70459 [-(x^3-27*x^2-487*x-27)/(x^4-974*x^2+1) ogf] A042409 4.96147 [-(1846119602*f(x)-313629)*(f(x)*x^4-974*f(x)*x^2+x^2+f(x)-18*x-1) ogf] A042409 8.27639 [-2*(9+973*x+x^5-27*x^4-2*x^3+8766*x^2)/(x^2-18*x-1)/(x^4-974*x^2+1) lgdogf] A042409 9.42680 [-(x^2-18*x-1)/(x^4-974*x^2+1) ogf] A042411 5.97252 [-(x^8-13*x^7+14*x^6-27*x^5+365*x^4+27*x^3+14*x^2+13*x+1)/(x^10+19764*x^5-1) ogf] A042414 3.81589 [-(306870254838*f(x)+25554934523)*(f(x)*x^4-488*f(x)*x^2+x^3-27*x^2+f(x)-244*x-27) ogf] A042414 7.09432 [-(x^3-27*x^2-244*x-27)/(x^4-488*x^2+1) ogf] A042415 10.0363 [-(x^2-9*x-1)/(x^4-488*x^2+1) ogf] A042415 5.28698 [-(231950306*f(x)-157137)*(f(x)*x^4-488*f(x)*x^2+x^2+f(x)-9*x-1) ogf] A042415 8.80012 [-(9+974*x+2*x^5-4*x^3-27*x^4+4392*x^2)/(x^2-9*x-1)/(x^4-488*x^2+1) lgdogf] A042420 3.59022 [-(152938908972*f(x)+19097603483)*(f(x)*x^4-326*f(x)*x^2+x^3-27*x^2+f(x)-163*x-27) ogf] A042420 6.67477 [-(x^3-27*x^2-163*x-27)/(x^2-18*x-1)/(x^2+18*x-1) ogf] A042421 10.7287 [-(x^2-6*x-1)/(x^2-18*x-1)/(x^2+18*x-1) ogf] A042421 5.75447 [-(69078098*f(x)-81501)*(f(x)*x^4-326*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A042421 8.39770 [-2*(3+325*x+x^5-9*x^4-2*x^3+978*x^2)/(x^2+18*x-1)/(x^2-6*x-1)/(x^2-18*x-1) lgdogf] A042438 3.80425 [-(19647837522*f(x)+4901746753)*(f(x)*x^4-164*f(x)*x^2+x^3-27*x^2+f(x)-82*x-27) ogf] A042438 5.64304 [-(82+8910*x+x^6-54*x^5-82*x^4-108*x^3+13445*x^2)/(x^3-27*x^2-82*x-27)/(x^4-164*x^2+1) lgdogf] A042438 7.01069 [-(x^3-27*x^2-82*x-27)/(x^4-164*x^2+1) ogf] A042439 10.9063 [-(3+326*x+492*x^2-4*x^3-9*x^4+2*x^5)/(x^2-3*x-1)/(x^4-164*x^2+1) lgdogf] A042439 12.0337 [-(x^2-3*x-1)/(x^4-164*x^2+1) ogf] A042439 6.51366 [-(8767442*f(x)-23289)*(f(x)*x^4-164*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A042454 4.60896 [-(x+1)*(x^6-28*x^5+83*x^4-660*x^3-549*x^2-28*x-27)/(x^8-2418*x^4+1) ogf] A042455 7.25581 [-(x^2-2*x-1)*(x^4+22*x^2+1)/(x^8-2418*x^4+1) ogf] A042456 4.0825 [-(1993845672*f(x)+745347569)*(f(x)*x^4-110*f(x)*x^2+x^3-27*x^2+f(x)-55*x-27) ogf] A042456 6.11018 [-(55+5994*x-108*x^3+6047*x^2-55*x^4-54*x^5+x^6)/(x+1)/(x^2-28*x-27)/(x^4-110*x^2+1) lgdogf] A042456 7.40681 [-(x+1)*(x^2-28*x-27)/(x^4-110*x^2+1) ogf] A042457 10.5817 [-2*(1+x)*(x^4-4*x^3+2*x^2+108*x+1)/(x^2-2*x-1)/(x^4-110*x^2+1) lgdogf] A042457 11.3228 [-(x^2-2*x-1)/(x^4-110*x^2+1) ogf] A042457 6.12888 [-(2637362*f(x)-10781)*(f(x)*x^4-110*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042463 5.83781 [-(x^4-x^3+2*x^2+x+1)*(x^6-10*x^3-1)/(x^12-1102*x^6+1) ogf] A042467 5.20452 [-(x^12-x^11+2*x^10-5*x^9+12*x^8-17*x^7+29*x^6+17*x^5+12*x^4+5*x^3+2*x^2+x+1)/(x^14+1600*x^7-1) ogf] A042484 5.51765 [-(x^7-27*x^6+28*x^5-83*x^4-111*x^3-83*x^2-28*x-27)/(x^8-222*x^4+1) ogf] A042485 8.51123 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-222*x^4+1) ogf] A042496 6.41481 [-(x^7-27*x^6+28*x^5-167*x^4-195*x^3-167*x^2-28*x-27)/(x^8-390*x^4+1) ogf] A042497 7.81727 [-(x^2-x-1)*(x^4+7*x^2+1)/(x^8-390*x^4+1) ogf] A042498 4.86462 [-(x^7-27*x^6+28*x^5-195*x^4-223*x^3-195*x^2-28*x-27)/(x^8-446*x^4+1) ogf] A042499 6.01224 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^8-446*x^4+1) ogf] A042504 4.78134 [-(x^7-27*x^6+28*x^5-363*x^4-391*x^3-363*x^2-28*x-27)/(x^4+28*x^2+1)/(x^4-28*x^2+1) ogf] A042505 7.60703 [-(x^2-x-1)*(x^4+14*x^2+1)/(x^4+28*x^2+1)/(x^4-28*x^2+1) ogf] A042508 5.03232 [-(x^7-27*x^6+28*x^5-755*x^4-783*x^3-755*x^2-28*x-27)/(x^8-1566*x^4+1) ogf] A042509 7.59119 [-(x^2-x-1)*(x^4+28*x^2+1)/(x^8-1566*x^4+1) ogf] A042510 4.18526 [-(269929854*f(x)+201158911)*(f(x)*x^4-56*f(x)*x^2+x^3-27*x^2+f(x)-28*x-27) ogf] A042510 7.58199 [-(x^3-27*x^2-28*x-27)/(x^4-56*x^2+1) ogf] A042511 11.4884 [-(1+110*x+56*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-56*x^2+1) lgdogf] A042511 12.0977 [-(x^2-x-1)/(x^4-56*x^2+1) ogf] A042511 6.87908 [(344738*f(x)-2801)*(f(x)*x^4-56*f(x)*x^2+x^2+f(x)-x-1) ogf] A042512 13.2522 [-(x+28)/(x^2+56*x-1) ogf] A042512 14.5719 [(-14-28*x+(196+785*x+785*x^2)^(1/2))/(x+1) revogf] A042512 17.0005 [-(1569+56*x+x^2)/(x+28)/(x^2+56*x-1) lgdogf] A042512 6.84452 [(87920*f(x)+1)*(f(x)*x^2+56*f(x)*x-f(x)+x+28) ogf] A042512 7.15922 [{a(n+2)-56*a(n+1)-a(n),a(0)=28,a(1)=1569} ogf] A042512 8.53222 [-(x^2+56*x+1569)/(x^3+84*x^2+1567*x-28) lgdogf] A042513 13.0866 [-(-2*x-56)/(-x^2-56*x+1) lgdogf] A042513 16.0810 [1/2/x*(-1-56*x+(1+112*x+3140*x^2)^(1/2)) revogf] A042513 19.2450 [-1/(x^2+56*x-1) ogf] A042513 29.2382 [-2*(28+x)/(x^2-1+56*x) lgdogf] A042513 7.35203 [-(1569*f(x)-1)*(f(x)*x^2+56*f(x)*x-f(x)+1) ogf] A042513 7.78965 [{-a(n+2)+56*a(n+1)+a(n),a(0)=1,a(1)=56} ogf] A042514 3.61436 [-(170228577083376*f(x)+4558724708273)*(f(x)*x^4-1570*f(x)*x^2+x^3-28*x^2+f(x)-785*x-28) ogf] A042514 6.92753 [-(x^3-28*x^2-785*x-28)/(x^4-1570*x^2+1) ogf] A042515 11.3793 [-(x^2-28*x-1)/(x^4-1570*x^2+1) ogf] A042515 6.14281 [-(7734849922*f(x)+3139)*(f(x)*x^4-1570*f(x)*x^2+x^2+f(x)-28*x-1) ogf] A042515 9.61695 [-2*(14+1569*x+21980*x^2-2*x^3-42*x^4+x^5)/(x^2-28*x-1)/(x^4-1570*x^2+1) lgdogf] A042518 3.97181 [-(10700340328496*f(x)+572988489361)*(f(x)*x^4-786*f(x)*x^2+x^3-28*x^2+f(x)-393*x-28) ogf] A042518 7.55203 [-(x^3-28*x^2-393*x-28)/(x^2+28*x-1)/(x^2-28*x-1) ogf] A042519 10.5301 [-(x^2-14*x-1)/(x^2+28*x-1)/(x^2-28*x-1) ogf] A042519 5.59121 [-(969936578*f(x)-306541)*(f(x)*x^4-786*f(x)*x^2+x^2+f(x)-14*x-1) ogf] A042519 8.05809 [-2*(7+785*x+5502*x^2-2*x^3-21*x^4+x^5)/(x^2+28*x-1)/(x^2-28*x-1)/(x^2-14*x-1) lgdogf] A042524 3.73873 [-(1150703782256*f(x)+107797961713)*(f(x)*x^4-450*f(x)*x^2+x^3-28*x^2+f(x)-225*x-28) ogf] A042524 7.05618 [-(x^3-28*x^2-225*x-28)/(x^4-450*x^2+1) ogf] A042525 11.2186 [-(x^2-8*x-1)/(x^4-450*x^2+1) ogf] A042525 5.90978 [-(181843202*f(x)-143101)*(f(x)*x^4-450*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A042525 9.85353 [-2*(4+449*x-2*x^3+1800*x^2-12*x^4+x^5)/(x^2-8*x-1)/(x^4-450*x^2+1) lgdogf] A042526 3.71331 [-(676445183568*f(x)+72414409313)*(f(x)*x^4-394*f(x)*x^2+x^3-28*x^2+f(x)-197*x-28) ogf] A042526 6.90362 [-(x^3-28*x^2-197*x-28)/(x^4-394*x^2+1) ogf] A042527 11.0226 [-(x^2-7*x-1)/(x^4-394*x^2+1) ogf] A042527 5.80655 [-(122013922*f(x)-115049)*(f(x)*x^4-394*f(x)*x^2+x^2+f(x)-7*x-1) ogf] A042527 9.67836 [-(7+786*x+2*x^5-21*x^4-4*x^3+2758*x^2)/(x^2-7*x-1)/(x^4-394*x^2+1) lgdogf] A042528 5.16686 [-(x^7-28*x^6+169*x^5-704*x^4-4393*x^3-704*x^2-169*x-28)/(x^8-8786*x^4+1) ogf] A042529 7.42102 [-(x^2-6*x-1)*(x^4+26*x^2+1)/(x^8-8786*x^4+1) ogf] A042532 4.59175 [-(x^7-28*x^6+141*x^5-1297*x^4-6626*x^3-1297*x^2-141*x-28)/(x^8-13252*x^4+1) ogf] A042533 6.85621 [-(x^2-5*x-1)*(x^4+47*x^2+1)/(x^8-13252*x^4+1) ogf] A042538 3.45225 [-(73362687216*f(x)+13734883121)*(f(x)*x^4-226*f(x)*x^2+x^3-28*x^2+f(x)-113*x-28) ogf] A042538 6.36963 [-(x^3-28*x^2-113*x-28)/(x^4-226*x^2+1) ogf] A042539 10.3515 [-2*(2+225*x+x^5-2*x^3-6*x^4+452*x^2)/(x^2-4*x-1)/(x^4-226*x^2+1) lgdogf] A042539 11.4284 [-(x^2-4*x-1)/(x^4-226*x^2+1) ogf] A042539 6.12979 [-(22983298*f(x)-42941)*(f(x)*x^4-226*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A042540 4.67328 [-(x^7-28*x^6+85*x^5-113*x^4-424*x^3-113*x^2-85*x-28)/(x^8-848*x^4+1) ogf] A042541 7.91058 [-(x^2-3*x-1)*(x^4+5*x^2+1)/(x^8-848*x^4+1) ogf] A042566 4.09488 [-(4769106608*f(x)+1783009873)*(f(x)*x^4-114*f(x)*x^2+x^3-28*x^2+f(x)-57*x-28) ogf] A042566 6.17845 [-(57+6440*x+x^6-56*x^5-112*x^3-57*x^4+6495*x^2)/(1+x)/(x^2-29*x-28)/(x^4-114*x^2+1) lgdogf] A042566 7.48777 [-(x+1)*(x^2-29*x-28)/(x^4-114*x^2+1) ogf] A042567 10.5817 [-2*(1+x)*(x^4-4*x^3+2*x^2+112*x+1)/(x^2-2*x-1)/(x^4-114*x^2+1) lgdogf] A042567 11.3228 [-(x^2-2*x-1)/(x^4-114*x^2+1) ogf] A042567 6.36236 [(2936642*f(x)-11629)*(f(x)*x^4-114*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042569 5.54623 [-(x^6-38*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-4334*x^6+1) ogf] A042577 6.28952 [-(x^6-6*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-686*x^6+1) ogf] A042578 5.71460 [-(x^9-28*x^8+29*x^7-57*x^6+86*x^5+143*x^4+86*x^3+57*x^2+29*x+28)/(x^10+286*x^5-1) ogf] A042579 7.07756 [-(x^4+2*x^3+4*x^2+3*x+1)*(x^4-3*x^3+4*x^2-2*x+1)/(x^10+286*x^5-1) ogf] A042581 11.9896 [-(-1-2*x+36792*x^11-30250*x^9+33521*x^10)/(x^2+x-1)/(3271*x^10-1) lgdogf] A042599 5.74856 [-(x^10-x^9+4*x^8-9*x^7+31*x^6-40*x^5-31*x^4-9*x^3-4*x^2-x-1)/(x^6-48*x^3+1)/(x^6+48*x^3+1) ogf] A042620 5.03232 [-(x^7-28*x^6+29*x^5-811*x^4-840*x^3-811*x^2-29*x-28)/(x^8-1680*x^4+1) ogf] A042621 7.65720 [-(x^2-x-1)*(x^4+29*x^2+1)/(x^8-1680*x^4+1) ogf] A042622 4.30031 [-(64388688*f(x)+47995405)*(f(x)*x^4-58*f(x)*x^2+x^3-28*x^2+f(x)-29*x-28) ogf] A042622 6.23345 [-(29+3304*x-112*x^3+1679*x^2-29*x^4-56*x^5+x^6)/(x^3-28*x^2-29*x-28)/(x^4-58*x^2+1) lgdogf] A042622 7.66577 [-(x^3-28*x^2-29*x-28)/(x^4-58*x^2+1) ogf] A042623 10.5543 [-(1+114*x+58*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-58*x^2+1) lgdogf] A042623 11.1282 [-(x^2-x-1)/(x^4-58*x^2+1) ogf] A042623 6.32783 [(383266*f(x)-3017)*(f(x)*x^4-58*f(x)*x^2+x^2+f(x)-x-1) ogf] A042624 11.0511 [1/2/(x+1)*(-29-58*x+(841+3368*x+3368*x^2)^(1/2)) revogf] A042624 11.5108 [-(x+29)/(x^2+58*x-1) ogf] A042624 14.7348 [-(1683+58*x+x^2)/(x+29)/(x^2+58*x-1) lgdogf] A042624 5.94513 [(97672*f(x)+1)*(f(x)*x^2+58*f(x)*x-f(x)+x+29) ogf] A042624 6.21847 [{a(n+2)-58*a(n+1)-a(n),a(0)=29,a(1)=1683} ogf] A042624 7.41105 [-(x^2+58*x+1683)/(x^3+87*x^2+1681*x-29) lgdogf] A042625 13.2530 [-(-2*x-58)/(-x^2-58*x+1) lgdogf] A042625 16.2890 [1/2/x*(-1-58*x+(1+116*x+3368*x^2)^(1/2)) revogf] A042625 19.4897 [-1/(x^2+58*x-1) ogf] A042625 29.6163 [-2*(29+x)/(x^2-1+58*x) lgdogf] A042625 7.44549 [-(1683*f(x)-1)*(f(x)*x^2+58*f(x)*x-f(x)+1) ogf] A042625 7.88868 [{-a(n+2)+58*a(n+1)+a(n),a(0)=1,a(1)=58} ogf] A042626 3.63348 [-(233358461087214*f(x)+6033936593321)*(f(x)*x^4-1684*f(x)*x^2+x^3-29*x^2+f(x)-842*x-29) ogf] A042626 6.96418 [-(x^3-29*x^2-842*x-29)/(x^4-1684*x^2+1) ogf] A042627 5.39796 [-(9545484562*f(x)+3367)*(f(x)*x^4-1684*f(x)*x^2+x^2+f(x)-29*x-1) ogf] A042627 8.43492 [-(29+3366*x+48836*x^2-4*x^3-87*x^4+2*x^5)/(x^2-29*x-1)/(x^4-1684*x^2+1) lgdogf] A042627 9.99951 [-(x^2-29*x-1)/(x^4-1684*x^2+1) ogf] A042631 6.02491 [-(x^8-14*x^7+15*x^6-29*x^5+421*x^4+29*x^3+15*x^2+14*x+1)/(x^10+24476*x^5-1) ogf] A042640 4.88550 [-(x^7-29*x^6+175*x^5-379*x^4-2449*x^3-379*x^2-175*x-29)/(x^4+70*x^2+1)/(x^4-70*x^2+1) ogf] A042641 7.01842 [-(x^2-6*x-1)*(x^4+14*x^2+1)/(x^4+70*x^2+1)/(x^4-70*x^2+1) ogf] A042650 4.98781 [-(x^7-29*x^6+117*x^5-731*x^4-3041*x^3-731*x^2-117*x-29)/(x^4+78*x^2+1)/(x^4-78*x^2+1) ogf] A042651 7.13559 [-(x^2-4*x-1)*(x^4+26*x^2+1)/(x^4+78*x^2+1)/(x^4-78*x^2+1) ogf] A042656 4.92525 [-(x^7-29*x^6+88*x^5-205*x^4-703*x^3-205*x^2-88*x-29)/(x^8-1406*x^4+1) ogf] A042657 7.58586 [-(x^2-3*x-1)*(x^4+8*x^2+1)/(x^8-1406*x^4+1) ogf] A042660 5.06454 [-(x^7-29*x^6+88*x^5-1261*x^4-3871*x^3-1261*x^2-88*x-29)/(x^4+88*x^2+1)/(x^4-88*x^2+1) ogf] A042661 6.58436 [-(x^2-3*x-1)*(x^4+44*x^2+1)/(x^4+88*x^2+1)/(x^4-88*x^2+1) ogf] A042680 4.13915 [-(2834239020*f(x)+1059739591)*(f(x)*x^4-118*f(x)*x^2+x^3-29*x^2+f(x)-59*x-29) ogf] A042680 6.24672 [-(59+6902*x+x^6-58*x^5-116*x^3-59*x^4+6959*x^2)/(1+x)/(x^2-30*x-29)/(x^4-118*x^2+1) lgdogf] A042680 7.56871 [-(x+1)*(x^2-30*x-29)/(x^4-118*x^2+1) ogf] A042681 10.5817 [-2*(1+x)*(x^4-4*x^3+2*x^2+116*x+1)/(x^2-2*x-1)/(x^4-118*x^2+1) lgdogf] A042681 11.3228 [-(x^2-2*x-1)/(x^4-118*x^2+1) ogf] A042681 6.12888 [-(3257746*f(x)-12509)*(f(x)*x^4-118*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042700 5.33642 [-(x^7-29*x^6+30*x^5-59*x^4-89*x^3-59*x^2-30*x-29)/(x^8-178*x^4+1) ogf] A042701 8.14905 [-(x^2-x-1)*(x^4+3*x^2+1)/(x^8-178*x^4+1) ogf] A042710 5.54654 [-(x^7-29*x^6+30*x^5-89*x^4-119*x^3-89*x^2-30*x-29)/(x^8-238*x^4+1) ogf] A042711 7.87673 [-(x^2-x-1)*(x^4+4*x^2+1)/(x^8-238*x^4+1) ogf] A042716 5.11144 [-(x^7-29*x^6+30*x^5-119*x^4-149*x^3-119*x^2-30*x-29)/(x^8-298*x^4+1) ogf] A042717 8.16315 [-(x^2-x-1)*(x^4+5*x^2+1)/(x^8-298*x^4+1) ogf] A042720 4.75469 [-(x^7-29*x^6+30*x^5-149*x^4-179*x^3-149*x^2-30*x-29)/(x^8-358*x^4+1) ogf] A042721 8.41378 [-(x^2-x-1)*(x^4+6*x^2+1)/(x^8-358*x^4+1) ogf] A042728 5.05701 [-(x^7-29*x^6+30*x^5-269*x^4-299*x^3-269*x^2-30*x-29)/(x^8-598*x^4+1) ogf] A042729 7.53060 [-(x^2-x-1)*(x^4+10*x^2+1)/(x^8-598*x^4+1) ogf] A042730 6.93260 [-(x^7-29*x^6+30*x^5-329*x^4-359*x^3-329*x^2-30*x-29)/(x^8-718*x^4+1) ogf] A042731 7.53941 [-(x^2-x-1)*(x^4+12*x^2+1)/(x^8-718*x^4+1) ogf] A042732 7.13396 [-(x^7-29*x^6+30*x^5-419*x^4-449*x^3-419*x^2-30*x-29)/(x^4-30*x^2+1)/(x^4+30*x^2+1) ogf] A042733 7.74227 [-(x^2-x-1)*(x^4+15*x^2+1)/(x^4-30*x^2+1)/(x^4+30*x^2+1) ogf] A042734 6.51928 [-(x^7-29*x^6+30*x^5-569*x^4-599*x^3-569*x^2-30*x-29)/(x^8-1198*x^4+1) ogf] A042735 7.42616 [-(x^2-x-1)*(x^4+20*x^2+1)/(x^8-1198*x^4+1) ogf] A042736 6.19975 [-(x^7-29*x^6+30*x^5-869*x^4-899*x^3-869*x^2-30*x-29)/(x^8-1798*x^4+1) ogf] A042737 6.99552 [-(x^2-x-1)*(x^4+30*x^2+1)/(x^8-1798*x^4+1) ogf] A042738 10.7661 [-(x^3-29*x^2-30*x-29)/(x^4-60*x^2+1) ogf] A042738 5.94291 [-(381681238*f(x)+284567605)*(f(x)*x^4-60*f(x)*x^2+x^3-29*x^2+f(x)-30*x-29) ogf] A042738 8.80343 [-(30+3538*x+x^6-58*x^5-116*x^3-30*x^4+1797*x^2)/(x^3-29*x^2-30*x-29)/(x^4-60*x^2+1) lgdogf] A042739 10.6051 [-(1+118*x+60*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-60*x^2+1) lgdogf] A042739 11.1807 [-(x^2-x-1)/(x^4-60*x^2+1) ogf] A042739 6.35768 [(424562*f(x)-3241)*(f(x)*x^4-60*f(x)*x^2+x^2+f(x)-x-1) ogf] A042740 11.6231 [-(x+30)/(x^2+60*x-1) ogf] A042740 12.7555 [(-15-30*x+(225+901*x+901*x^2)^(1/2))/(x+1) revogf] A042740 14.8814 [-(1801+60*x+x^2)/(x+30)/(x^2+60*x-1) lgdogf] A042740 5.93788 [(108120*f(x)+1)*(f(x)*x^2+60*f(x)*x-f(x)+x+30) ogf] A042740 6.27914 [{a(n+2)-60*a(n+1)-a(n),a(0)=30,a(1)=1801} ogf] A042740 7.48336 [-(x^2+60*x+1801)/(x^3+90*x^2+1799*x-30) lgdogf] A042741 13.3639 [-(-2*x-60)/(-x^2-60*x+1) lgdogf] A042741 16.4276 [1/2/x*(-1-60*x+(1+120*x+3604*x^2)^(1/2)) revogf] A042741 19.6528 [-1/(x^2+60*x-1) ogf] A042741 29.8684 [-2*(30+x)/(x^2-1+60*x) lgdogf] A042741 7.5078 [-(1801*f(x)-1)*(f(x)*x^2+60*f(x)*x-f(x)+1) ogf] A042741 7.95469 [{-a(n+2)+60*a(n+1)+a(n),a(0)=1,a(1)=60} ogf] A042742 4.90226 [-(316505168550120*f(x)+7911163914301)*(f(x)*x^4-1802*f(x)*x^2+x^3-30*x^2+f(x)-901*x-30) ogf] A042742 9.39600 [-(x^3-30*x^2-901*x-30)/(x^4-1802*x^2+1) ogf] A042743 10.0904 [-(x^2-30*x-1)/(x^4-1802*x^2+1) ogf] A042743 5.39925 [-(11696421602*f(x)+3603)*(f(x)*x^4-1802*f(x)*x^2+x^2+f(x)-30*x-1) ogf] A042743 8.51302 [-2*(15+1801*x+27030*x^2-2*x^3-45*x^4+x^5)/(x^2-30*x-1)/(x^4-1802*x^2+1) lgdogf] A042744 4.09173 [-(62675684100120*f(x)+2349684923101)*(f(x)*x^4-1202*f(x)*x^2+x^3-30*x^2+f(x)-601*x-30) ogf] A042744 7.78564 [-(x^3-30*x^2-601*x-30)/(x^4-1202*x^2+1) ogf] A042745 5.0871 [-(3470414402*f(x)-478397)*(f(x)*x^4-1202*f(x)*x^2+x^2+f(x)-20*x-1) ogf] A042745 8.08347 [-2*(10+1201*x+x^5-2*x^3-30*x^4+12020*x^2)/(x^2-20*x-1)/(x^4-1202*x^2+1) lgdogf] A042745 9.59043 [-(x^2-20*x-1)/(x^4-1202*x^2+1) ogf] A042746 4.66206 [-(19880462475120*f(x)+993654562501)*(f(x)*x^4-902*f(x)*x^2+x^3-30*x^2+f(x)-451*x-30) ogf] A042746 8.86448 [-(x^3-30*x^2-451*x-30)/(x^2-30*x-1)/(x^2+30*x-1) ogf] A042747 10.6245 [-(x^2-15*x-1)/(x^2-30*x-1)/(x^2+30*x-1) ogf] A042747 5.59187 [-(1466110802*f(x)-404097)*(f(x)*x^4-902*f(x)*x^2+x^2+f(x)-15*x-1) ogf] A042747 7.82674 [-(15+1802*x-45*x^4-4*x^3+2*x^5+13530*x^2)/(x^2+30*x-1)/(x^2-30*x-1)/(x^2-15*x-1) lgdogf] A042748 3.94082 [-(8163338652120*f(x)+509972069341)*(f(x)*x^4-722*f(x)*x^2+x^3-30*x^2+f(x)-361*x-30) ogf] A042748 7.43761 [-(x^3-30*x^2-361*x-30)/(x^4-722*x^2+1) ogf] A042749 10.4356 [-(x^2-12*x-1)/(x^4-722*x^2+1) ogf] A042749 5.54106 [-(751688642*f(x)-310461)*(f(x)*x^4-722*f(x)*x^2+x^2+f(x)-12*x-1) ogf] A042749 9.17622 [-2*(6+721*x+4332*x^2-2*x^3-18*x^4+x^5)/(x^2-12*x-1)/(x^4-722*x^2+1) lgdogf] A042750 3.88019 [-(3946601250120*f(x)+295830291901)*(f(x)*x^4-602*f(x)*x^2+x^3-30*x^2+f(x)-301*x-30) ogf] A042750 7.32318 [-(x^3-30*x^2-301*x-30)/(x^4-602*x^2+1) ogf] A042751 10.1523 [-(x^2-10*x-1)/(x^4-602*x^2+1) ogf] A042751 5.39063 [-(435607202*f(x)-239597)*(f(x)*x^4-602*f(x)*x^2+x^2+f(x)-10*x-1) ogf] A042751 8.92250 [-2*(5+601*x+3010*x^2-2*x^3-15*x^4+x^5)/(x^2-10*x-1)/(x^4-602*x^2+1) lgdogf] A042758 4.80788 [-(516583278120*f(x)+64512860221)*(f(x)*x^4-362*f(x)*x^2+x^3-30*x^2+f(x)-181*x-30) ogf] A042758 8.93858 [-(x+5)*(x^2-35*x-6)/(x^4-362*x^2+1) ogf] A042759 10.8756 [-(x^2-6*x-1)/(x^4-362*x^2+1) ogf] A042759 5.78074 [-(94612322*f(x)-103533)*(f(x)*x^4-362*f(x)*x^2+x^2+f(x)-6*x-1) ogf] A042759 9.69386 [-2*(3+361*x+x^5-9*x^4-2*x^3+1086*x^2)/(x^2-6*x-1)/(x^4-362*x^2+1) lgdogf] A042762 5.29901 [-(250360425120*f(x)+37512111301)*(f(x)*x^4-302*f(x)*x^2+x^3-30*x^2+f(x)-151*x-30) ogf] A042762 9.85169 [-(x^3-30*x^2-151*x-30)/(x^4-302*x^2+1) ogf] A042763 10.5327 [-(x^2-5*x-1)/(x^4-302*x^2+1) ogf] A042763 5.64936 [-(54903602*f(x)-74897)*(f(x)*x^4-302*f(x)*x^2+x^2+f(x)-5*x-1) ogf] A042763 9.24043 [-(5+602*x+2*x^5-15*x^4-4*x^3+1510*x^2)/(x^2-5*x-1)/(x^4-302*x^2+1) lgdogf] A042766 5.02235 [-(x^9-30*x^8+121*x^7-393*x^6+1300*x^5+5593*x^4+1300*x^3+393*x^2+121*x+30)/(x^10+11186*x^5-1) ogf] A042767 5.72909 [-(x^8-4*x^7+13*x^6-43*x^5+185*x^4+43*x^3+13*x^2+4*x+1)/(x^10+11186*x^5-1) ogf] A042768 5.14574 [-(103310388120*f(x)+19343605981)*(f(x)*x^4-242*f(x)*x^2+x^3-30*x^2+f(x)-121*x-30) ogf] A042768 9.56672 [-(x^3-30*x^2-121*x-30)/(x^4-242*x^2+1) ogf] A042769 10.3976 [-2*(2+241*x+x^5-2*x^3-6*x^4+484*x^2)/(x^2-4*x-1)/(x^4-242*x^2+1) lgdogf] A042769 11.4783 [-(x^2-4*x-1)/(x^4-242*x^2+1) ogf] A042769 6.15655 [-(28226882*f(x)-49853)*(f(x)*x^4-242*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A042778 10.3476 [-(x^3-30*x^2-91*x-30)/(x^4-182*x^2+1) ogf] A042778 5.61498 [-(33092847120*f(x)+8257744261)*(f(x)*x^4-182*f(x)*x^2+x^3-30*x^2+f(x)-91*x-30) ogf] A042778 8.28552 [-(91+10980*x+x^6-60*x^5-91*x^4-120*x^3+16559*x^2)/(x^3-30*x^2-91*x-30)/(x^4-182*x^2+1) lgdogf] A042779 11.1404 [-(3+362*x+2*x^5-9*x^4-4*x^3+546*x^2)/(x^2-3*x-1)/(x^4-182*x^2+1) lgdogf] A042779 12.2876 [-(x^2-3*x-1)/(x^4-182*x^2+1) ogf] A042779 6.59061 [-(11990162*f(x)-29121)*(f(x)*x^4-182*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A042784 4.60449 [-(x^11-30*x^10+61*x^9-91*x^8+152*x^7-243*x^6-638*x^5-243*x^4-152*x^3-91*x^2-61*x-30)/(x^12-1276*x^6+1) ogf] A042785 5.87727 [-(x^10-2*x^9+3*x^8-5*x^7+8*x^6-21*x^5-8*x^4-5*x^3-3*x^2-2*x-1)/(x^12-1276*x^6+1) ogf] A042788 5.33751 [-(x^9-30*x^8+61*x^7-152*x^6+365*x^5+882*x^4+365*x^3+152*x^2+61*x+30)/(x^10+1764*x^5-1) ogf] A042789 6.35154 [-(x^8-2*x^7+5*x^6-12*x^5+29*x^4+12*x^3+5*x^2+2*x+1)/(x^10+1764*x^5-1) ogf] A042798 5.31379 [-(6698682120*f(x)+2504926141)*(f(x)*x^4-122*f(x)*x^2+x^3-30*x^2+f(x)-61*x-30) ogf] A042798 8.05287 [-(61+7380*x+7439*x^2-120*x^3-61*x^4-60*x^5+x^6)/(x+1)/(x^2-31*x-30)/(x^4-122*x^2+1) lgdogf] A042798 9.71666 [-(x+1)*(x^2-31*x-30)/(x^4-122*x^2+1) ogf] A042799 10.6300 [-2*(1+x)*(x^4-4*x^3+2*x^2+120*x+1)/(x^2-2*x-1)/(x^4-122*x^2+1) lgdogf] A042799 11.3736 [-(x^2-2*x-1)/(x^4-122*x^2+1) ogf] A042799 6.3909 [(3601442*f(x)-13421)*(f(x)*x^4-122*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042824 5.07056 [-(x^11-30*x^10+31*x^9-92*x^8+215*x^7-522*x^6-737*x^5-522*x^4-215*x^3-92*x^2-31*x-30)/(x^12-1474*x^6+1) ogf] A042825 5.88947 [-(x^10-x^9+3*x^8-7*x^7+17*x^6-24*x^5-17*x^4-7*x^3-3*x^2-x-1)/(x^12-1474*x^6+1) ogf] A042856 6.94079 [-(x^7-30*x^6+31*x^5-929*x^4-960*x^3-929*x^2-31*x-30)/(x^8-1920*x^4+1) ogf] A042857 7.78922 [-(x^2-x-1)*(x^4+31*x^2+1)/(x^8-1920*x^4+1) ogf] A042858 10.8544 [-(x^3-30*x^2-31*x-30)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A042858 5.99162 [-(449973120*f(x)+335551621)*(f(x)*x^4-62*f(x)*x^2+x^3-30*x^2+f(x)-31*x-30) ogf] A042858 8.00841 [-(31+3780*x+x^6-60*x^5-120*x^3-31*x^4+1919*x^2)/(x^2-8*x+1)/(x^2+8*x+1)/(x^3-30*x^2-31*x-30) lgdogf] A042859 10.2587 [-(1+122*x+62*x^2-4*x^3-3*x^4+2*x^5)/(x^2-8*x+1)/(x^2+8*x+1)/(x^2-x-1) lgdogf] A042859 12.4174 [-(x^2-x-1)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A042859 7.06091 [(468722*f(x)-3473)*(f(x)*x^4-62*f(x)*x^2+x^2+f(x)-x-1) ogf] A042860 13.1453 [1/2/(x+1)*(-31-62*x+(961+3848*x+3848*x^2)^(1/2)) revogf] A042860 13.6555 [-(x+31)/(x^2+62*x-1) ogf] A042860 17.5271 [-(1923+62*x+x^2)/(x+31)/(x^2+62*x-1) lgdogf] A042860 6.97617 [(119288*f(x)+1)*(f(x)*x^2+62*f(x)*x-f(x)+x+31) ogf] A042860 7.37710 [{a(n+2)-62*a(n+1)-a(n),a(0)=31,a(1)=1923} ogf] A042860 8.79189 [-(x^2+62*x+1923)/(x^3+93*x^2+1921*x-31) lgdogf] A042861 13.4193 [-(-2*x-62)/(-x^2-62*x+1) lgdogf] A042861 16.4969 [1/2/x*(-1-62*x+(1+124*x+3848*x^2)^(1/2)) revogf] A042861 19.7343 [-1/(x^2+62*x-1) ogf] A042861 29.9944 [-2*(x+31)/(x^2+62*x-1) lgdogf] A042861 7.53895 [-(1923*f(x)-1)*(f(x)*x^2+62*f(x)*x-f(x)+1) ogf] A042861 7.98770 [{-a(n+2)+62*a(n+1)+a(n),a(0)=1,a(1)=62} ogf] A042862 4.90688 [-(425017841708106*f(x)+10280906389601)*(f(x)*x^4-1924*f(x)*x^2+x^3-31*x^2+f(x)-962*x-31) ogf] A042862 9.47301 [-(x^3-31*x^2-962*x-31)/(x^4-1924*x^2+1) ogf] A042863 10.1359 [-(x^2-31*x-1)/(x^4-1924*x^2+1) ogf] A042863 5.42357 [-(14237022802*f(x)+3847)*(f(x)*x^4-1924*f(x)*x^2+x^2+f(x)-31*x-1) ogf] A042863 8.55207 [-(31+3846*x+59644*x^2-4*x^3-93*x^4+2*x^5)/(x^2-31*x-1)/(x^4-1924*x^2+1) lgdogf] A042867 6.12969 [-(x^8-15*x^7+16*x^6-31*x^5+481*x^4+31*x^3+16*x^2+15*x+1)/(x^10+29884*x^5-1) ogf] A042886 5.69984 [-(x^7-31*x^6+125*x^5-281*x^4-1249*x^3-281*x^2-125*x-31)/(x^4-50*x^2+1)/(x^4+50*x^2+1) ogf] A042887 8.09159 [-(x^2-4*x-1)*(x^4+10*x^2+1)/(x^4-50*x^2+1)/(x^4+50*x^2+1) ogf] A042901 5.76010 [-(x^10-2*x^9+3*x^8-92*x^7+95*x^6-282*x^5-95*x^4-92*x^3-3*x^2-2*x-1)/(x^12-17674*x^6+1) ogf] A042906 5.93481 [-(x^9-31*x^8+63*x^7-94*x^6+157*x^5+408*x^4+157*x^3+94*x^2+63*x+31)/(x^10+816*x^5-1) ogf] A042907 7.01500 [-(x^8-2*x^7+3*x^6-5*x^5+13*x^4+5*x^3+3*x^2+2*x+1)/(x^10+816*x^5-1) ogf] A042908 7.83365 [-(x^5-31*x^4+63*x^3+157*x^2+63*x+31)/(x^6+314*x^3-1) ogf] A042909 9.86635 [-(x^4-2*x^3+5*x^2+2*x+1)/(x^6+314*x^3-1) ogf] A042910 6.99013 [-(x+1)*(x^6-32*x^5+95*x^4-252*x^3-125*x^2-32*x-31)/(x^8-754*x^4+1) ogf] A042911 7.73786 [-(x^2-2*x-1)*(x^4+6*x^2+1)/(x^8-754*x^4+1) ogf] A042916 6.22743 [-(x+1)*(x^6-32*x^5+95*x^4-504*x^3-377*x^2-32*x-31)/(x^4-42*x^2+1)/(x^4+42*x^2+1) ogf] A042917 7.69020 [-(x^2-2*x-1)*(x^4+14*x^2+1)/(x^4-42*x^2+1)/(x^4+42*x^2+1) ogf] A042920 5.3368 [-(3936750016*f(x)+1472256449)*(f(x)*x^4-126*f(x)*x^2+x^3-31*x^2+f(x)-63*x-31) ogf] A042920 8.08834 [-(63+7874*x+x^6-62*x^5+7935*x^2-124*x^3-63*x^4)/(x+1)/(x^2-32*x-31)/(x^4-126*x^2+1) lgdogf] A042920 9.75871 [-(x+1)*(x^2-32*x-31)/(x^4-126*x^2+1) ogf] A042921 10.7266 [-2*(1+x)*(x^4-4*x^3+2*x^2+124*x+1)/(x^2-2*x-1)/(x^4-126*x^2+1) lgdogf] A042921 11.4752 [-(x^2-2*x-1)/(x^4-126*x^2+1) ogf] A042921 6.21133 [-(3968498*f(x)-14365)*(f(x)*x^4-126*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A042923 5.69546 [-(x^6-42*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-5294*x^6+1) ogf] A042924 4.84950 [-(x^11-31*x^10+32*x^9-63*x^8+536*x^7-599*x^6-1135*x^5-599*x^4-536*x^3-63*x^2-32*x-31)/(x^12-2270*x^6+1) ogf] A042925 5.63563 [-(x^6-18*x^3-1)*(x^4-x^3+2*x^2+x+1)/(x^12-2270*x^6+1) ogf] A042940 10.2176 [-36+400*x+(2-48*x+160*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A042940 3.14068 [{(-16*n^2-200*n-624)*a(n+1)+(8*n^2+82*n+186)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=18,a(2)=197} ogf] A042940 7.78889 [(-(20*x-1)/(-1+4*x)^(1/2)+I)/x/(-1+4*x)^(1/2) lgdogf] A042941 6.56895 [(-1/2*(28*x-1)/(-1+4*x)^(1/2)+1/2*I)/x/(-1+4*x)^(1/2) lgdogf] A042941 9.52214 [-13+196*x+(1-32*x+112*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A042948 10.3940 [-(-6*x^2-6*x-4)/(-3*x^3-x^2+3*x+1) lgdogf] A042948 11.6705 [x*(3*x+1)/(x+1)/(x-1)^2 ogf] A042948 18.1443 [-2*(2+3*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A042948 5.99295 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A042948 6.04743 [(32*f(x)+341)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-x) ogf] A042950 10.5381 [{a(n+2)-2*a(n+1),a(0)=2,a(1)=3} ogf] A042950 16.8609 [-2*f(x)*x+f(x)+x-2 ogf] A042950 20.5066 [(x-2)/(2*x-1) ogf] A042950 21.0762 [-3/(-2*x^2+5*x-2) lgdogf] A042950 36.8463 [1+x-(1+x+x^2)^(1/2) revogf] A042950 46.6720 [3/(2*x-1)/(x-2) lgdogf] A042962 12.8338 [x^23+x^11+x^5+x^2+x+1 ogf_with_Euler_transform] A042963 11.0366 [(2*x^2+x+1)/(x+1)/(x-1)^2 ogf] A042963 14.9364 [-2*(1+4*x+x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A042963 6.01099 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A042963 8.41539 [-(2*x^3+4*x^2+8*x+2)/(2*x^4+x^3-x^2-x-1) lgdogf] A042963 8.49699 [(64*f(x)+495)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x-1) ogf] A042964 10.6571 [-(-x^3-3*x^2-9*x-3)/(-x^4-x^3-x^2+x+2) lgdogf] A042964 13.9766 [(x^2+x+2)/(x+1)/(x-1)^2 ogf] A042964 20.8984 [-(3+9*x+x^3+3*x^2)/(x-1)/(1+x)/(x^2+x+2) lgdogf] A042964 7.47869 [(32*f(x)+251)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-2) ogf] A042964 7.61223 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A042965 12.0374 [-(-2*x^3-5*x^2-2*x-3)/(-x^4-x^3+x+1) lgdogf] A042965 13.3338 [x*(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A042965 20.3321 [-(3+2*x+2*x^3+5*x^2)/(x-1)/(1+x)/(x^2+x+1) lgdogf] A042965 29.7848 [3-2*x+1/2*x^2 egf]_with_Euler_transform] A042965 5.31714 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=4} ogf] A042965 7.22244 [-(f(x)-10)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-x) ogf] A042968 14.4164 [(x+1)*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A042968 16.2893 [-(2+4*x+x^5+3*x^4+5*x^3+9*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A042968 34.1978 [-x^3+x^2+2 ogf_with_Euler_transform] A042968 6.06544 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A042968 8.28943 [(4*f(x)+27)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-1) ogf] A042968 9.56473 [-(x^5+3*x^4+5*x^3+9*x^2+4*x+2)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A042984 12.2328 [-(11+19*x-21*x^2-5*x^3+2*x^4)/(x-1)/(x^4-3*x^3-3*x^2+5*x+1) lgdogf] A042984 7.07651 [(x^4-3*x^3-3*x^2+5*x+1)/(x-1)^6 ogf] A042984 8.08744 [-(-2*x^4+5*x^3+21*x^2-19*x-11)/(-x^5+4*x^4-8*x^2+4*x+1) lgdogf] A042985 10.2176 [-17+324*x+(1-40*x+144*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A042985 3.14068 [{(-16*n^2-184*n-528)*a(n+1)+(8*n^2+74*n+150)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=17,a(2)=178} ogf] A042985 7.03816 [(-1/2*(36*x-1)/(-1+4*x)^(1/2)+1/2*I)/x/(-1+4*x)^(1/2) lgdogf] A043095 26.2874 [-x^9+x^8+2 ogf_with_Euler_transform] A043095 6.22141 [x*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043096 25.4112 [-x^10+x^9+2 ogf_with_Euler_transform] A043096 5.75364 [x*(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043119 4.53246 [-4*(x^12-4*x^11-5*x^10-4*x^9-6*x^8-3*x^7-5*x^6-4*x^5-5*x^4-4*x^3-5*x^2-4*x-6)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043130 4.86556 [(2*x^11+10*x^10+31*x^9+31*x^8+5*x^7+31*x^6+5*x^5+31*x^4+5*x^3+31*x^2+5*x+29)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043284 7.16057 [-(2*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A043285 7.99430 [-(2*x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A043286 7.45333 [-(2*x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A043287 5.79905 [-(2*x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A043288 5.45341 [-(2*x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A043289 5.14666 [-(2*x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A043291 15.3715 [3/(x-1)/(4*x-1)/(x+1) ogf] A043291 16.2550 [-2*(2*x+1)*(3*x-2)/(x-1)/(4*x-1)/(x+1) lgdogf] A043291 5.52836 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=3,a(1)=12,a(2)=51} ogf] A043291 7.14284 [-(13*f(x)+80)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-3) ogf] A043291 9.69589 [-(12*x^2-2*x-4)/(4*x^3-x^2-4*x+1) lgdogf] A043301 13.1927 [(-1-2*(-2*x+1)^(1/2))/(2*x-1) lgdegf] A043301 16.4400 [-3+8*x+(-2+4*x)*f(x)+(4*x^2+1-4*x)*f(x)^2 lgdegf] A043301 24.0728 [-1/8*ln(2*x+1)*(ln(2*x+1)-4) revegf] A043301 3.13252 [{(16+8*n)*a(n+1)+(4*n^2+22*n+36)*a(n+2)+(2*n^2+13*n+24)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=3,a(2)=13,a(3)=77} ogf] A043350 2.84123 [2+1/25*x^3-x^4-13/625*x^7+1/5*x^8 ogf_with_Euler_transform] A043369 5.74165 [-(5*x^10-x^9-x^8-x^7-x^6-7*x^5-6*x^4-6*x^3-6*x^2-6*x-6)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043393 4.90342 [-(6*x^12-x^11-x^10-x^9-x^8-x^7-8*x^6-7*x^5-7*x^4-7*x^3-7*x^2-7*x-7)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043413 5.03377 [(2*x^12+6*x^11+2*x^10+x^9+x^8+x^7+x^6+2*x^5+7*x^4+7*x^3+7*x^2+7*x+5)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043417 5.03377 [(2*x^12+x^11+x^10+x^9+x^8+x^7+x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+6)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043453 3.93340 [-(8*x^16-x^15-x^14-x^13-x^12-x^11-x^10-x^9-10*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x-9)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A043460 4.08003 [-(16*x^12+71*x^11+647*x^10+5831*x^9+52487*x^8+7379*x^7-x^6-2*x^5-8*x^4-72*x^3-648*x^2-5832*x-820)/(x-1)/(9*x^7-1) ogf] A043469 3.95501 [(5*x^16+9*x^15+9*x^14+9*x^13+5*x^12+x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+5*x^4+9*x^3+9*x^2+9*x+4)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A043473 3.95501 [(4*x^16+9*x^15+9*x^14+6*x^13+x^12+x^11+2*x^10+x^9+x^8+x^7+x^6+4*x^5+9*x^4+9*x^3+9*x^2+9*x+5)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A043477 3.95501 [(3*x^16+9*x^15+7*x^14+x^13+2*x^12+x^11+x^10+x^9+x^8+x^7+3*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+6)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A043481 3.95501 [(2*x^16+8*x^15+2*x^14+x^13+x^12+x^11+x^10+x^9+x^8+2*x^7+9*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+7)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A043484 4.89083 [(7382*x^7+59049*x^6+59049*x^5+59049*x^4+59049*x^3+59049*x^2+59049*x+51660)/(x-1)/(x^7-9) ogf] A043485 3.95501 [(2*x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+9*x^7+9*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+8)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A043488 4.57865 [(x^8+59049*x^7+59049*x^6+59049*x^5+59049*x^4+59049*x^3+59049*x^2+59049*x+59040)/(x-1)/(x^4-3)/(x^4+3) ogf] A043492 4.39665 [-(100000000*x^11-110000*x^10+x^9-100000000*x+10000)/(9*x^10+10000*x-1)/(x-1)^2 ogf] A043496 3.60665 [-(18*x^13+89*x^12+899*x^11+8999*x^10+89999*x^9+11109*x^8-x^7-x^6-2*x^5-9*x^4-90*x^3-900*x^2-9000*x-1111)/(x-1)/(10*x^8-1) ogf] A043520 4.57865 [(22223*x^7+100000*x^6+100000*x^5+100000*x^4+100000*x^3+100000*x^2+100000*x+77770)/(x-1)/(x^7-10) ogf] A043524 4.19214 [8*(1389*x^8+12500*x^7+12500*x^6+12500*x^5+12500*x^4+12500*x^3+12500*x^2+12500*x+11110)/(x-1)/(x^8-10) ogf] A043528 3.93652 [(x^9+100000*x^8+100000*x^7+100000*x^6+100000*x^5+100000*x^4+100000*x^3+100000*x^2+100000*x+99990)/(x-1)/(x^9-10) ogf] A043547 13.5674 [(2*x+1)*(x^2+1)/(x-1)^2/(x+1)^2 ogf] A043547 16.6346 [-2*(1+3*x+x^4+x^3+6*x^2)/(x-1)/(2*x+1)/(1+x)/(1+x^2) lgdogf] A043547 8.16553 [-(96*f(x)-307)*(f(x)*x^4-2*f(x)*x^2-2*x^3-x^2+f(x)-2*x-1) ogf] A043553 11.8674 [-1/3*(-(10*x+1)^(1/3)+(x+1)^(1/3))/(10*x+1)^(1/3) revogf] A043553 5.0312 [(290*f(x)-103)*(30*f(x)*x^3-30*f(x)*x^2+10*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A043553 5.11794 [{a(n+3)-10*a(n+2)+30*a(n+1)-30*a(n),a(0)=1,a(1)=7,a(2)=43} ogf] A043553 8.42758 [-(7-54*x+150*x^2-180*x^3+90*x^4)/(3*x^2-3*x+1)/(30*x^3-30*x^2+10*x-1) lgdogf] A043553 9.27627 [-(3*x^2-3*x+1)/(30*x^3-30*x^2+10*x-1) ogf] A043620 5.28858 [-(7*x^13-x^8+2450*x^7-8*x^6-x^5-x^4-x^3-x^2-x-2451)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043621 5.71028 [-(17156*x^7-x^6-x^5-x^4-x^3-x^2-2*x-17157)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043622 4.94376 [-(7*x^13-x^8+120099*x^7-8*x^6-x^5-x^4-x^3-x^2-x-120100)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043623 5.70091 [-(840699*x^7-x^6-x^5-x^4-x^3-x^2-2*x-840700)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043626 6.16477 [-(519*x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-520)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A043627 4.96806 [-(8*x^15-x^9+4160*x^8-9*x^7-x^6-x^5-x^4-x^3-x^2-x-4161)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A043628 5.31983 [-(33287*x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-33288)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A043630 5.12165 [-(2130439*x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-2130440)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A043632 5.18017 [-(9*x^17-x^10+81*x^9-10*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-82)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043633 5.70999 [-(737*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-738)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043634 4.58590 [-(9*x^17-x^10+6642*x^9-10*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-6643)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043635 4.93984 [-(59786*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-59787)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043637 4.76708 [-(4842755*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-4842756)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043639 4.58302 [-(10*x^19-x^11+100*x^10-11*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-101)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043640 4.89391 [-(1009*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-1010)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043642 4.58551 [-(101009*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-101010)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043644 4.7141 [-(51015211611062+f(x))*(f(x)*x^2-2*f(x)*x+x^2+f(x)+10101008*x-10101010)^2 ogf] A043645 5.39039 [-(10*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-11)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043646 4.32683 [-(11*x^21-x^12+121*x^11-12*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-122)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043647 4.58590 [-(1341*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-1342)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043649 4.30477 [-(162392*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-162393)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043651 5.06259 [-(11*x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-12)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043653 4.31437 [-(1739*x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-1740)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043655 4.05642 [-(250571*x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-250572)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043657 4.77238 [-(12*x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-13)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043659 4.07319 [-(2209*x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-2210)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043662 4.02416 [-(228951007789373658559*f(x)+2698905516347890617031491762822620)*(f(x)*x^2-2*f(x)*x+f(x)+4855539*x-4855540)^2 ogf] A043663 4.51364 [-(13*x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-14)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043668 4.02416 [-(216739964027279152573*f(x)+6207094788123336918599443221891998)*(f(x)*x^2-2*f(x)*x+f(x)+7568148*x-7568149)^2 ogf] A043669 4.28151 [-(14*x^15-x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-15)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A043670 3.87011 [(x^19-226*x^18+256*x^17-30*x^16+225*x^15-225*x^14+225*x^3-226*x^2+3375*x-3390)/(x^17-x^2-15)/(x-1)^2 ogf] A043676 3.87011 [(x^20-257*x^19+289*x^18-32*x^17+256*x^16-256*x^15+256*x^3-257*x^2+4096*x-4112)/(x^18-x^2-16)/(x-1)^2 ogf] A043698 6.05625 [-(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-9)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A043699 10.1326 [-2*(-6-31*x+x^5+6*x^4+2*x^3+24*x^2)/(x^2+1)/(x^2+14*x-1)/(x^2-2*x-1) lgdogf] A043699 10.2648 [2*x*(x^2+1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A043699 4.98575 [-(79750*f(x)-13331)*(f(x)*x^4+12*f(x)*x^3-30*f(x)*x^2-2*x^3-12*f(x)*x+f(x)-2*x) ogf] A043700 5.39039 [-(10*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-11)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043701 5.06259 [-(11*x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-12)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A043702 4.77238 [-(12*x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-13)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A043703 4.51364 [-(13*x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-14)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A043704 4.28151 [-(14*x^15-x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-15)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A043910 4.89959 [(2*x^11+5*x^10+30*x^9+37*x^8+5*x^7+31*x^6+5*x^5+31*x^4+5*x^3+31*x^2+5*x+29)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044043 5.52573 [-x^2*(2*x^8+4*x^5+4*x^4+3*x^3+3*x^2+5*x+2)/(2*x^10+4*x^7+3*x^6+x^5+2*x^4+3*x^3-1) ogf] A044102 100.167 [-2/(x-1) lgdogf] A044102 13.5492 [-f(x)*x^2+2*f(x)*x-f(x)+36*x ogf] A044102 21.3935 [36*x/(x-1)^2 ogf] A044102 42.1757 [x/(3+(9+x)^(1/2))^2 revogf] A044102 9.91405 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=36} ogf] A044104 6.38369 [-2*(6*x^7-5*x^6-18*x^5-18*x^4-18*x^3-18*x^2-18*x-19)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044105 6.38369 [-3*(6*x^7-5*x^6-12*x^5-12*x^4-12*x^3-12*x^2-12*x-13)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044106 6.38369 [-4*(6*x^7-5*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x-10)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044107 6.38369 [-(30*x^7-25*x^6-36*x^5-36*x^4-36*x^3-36*x^2-36*x-41)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044110 5.05780 [-4*(2*x^18-2*x^17-2*x^11+2*x^10-7*x^7-9*x^6-9*x^5-9*x^4-8*x^3-x^2-9*x-2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044112 4.72389 [-2*(5*x^20-5*x^19-5*x^13+5*x^12-13*x^7-18*x^6-18*x^5-18*x^4-11*x^3-7*x^2-18*x-5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044113 4.72389 [-(11*x^21-11*x^20-11*x^14+11*x^13-25*x^7-36*x^6-36*x^5-36*x^4-17*x^3-19*x^2-36*x-11)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044116 5.02389 [-2*(6*x^21-6*x^20-6*x^15+6*x^14-11*x^6-18*x^5-18*x^4-19*x^3-17*x^2-18*x-7)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A044138 102.029 [-2/(x-1) lgdogf] A044138 13.8605 [-f(x)*x^2+2*f(x)*x-f(x)+49 ogf] A044138 24.4598 [49/(x-1)^2 ogf] A044138 34.0097 [4*x/(7+(49+4*x)^(1/2))^2 revogf] A044138 9.90038 [{-a(n+2)+2*a(n+1)-a(n),a(0)=49,a(1)=98} ogf] A044139 6.08983 [-(7*x^8-6*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-50)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044140 6.01828 [-(14*x^8-12*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-51)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044141 6.01828 [-(21*x^8-18*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-52)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044142 6.01828 [-(28*x^8-24*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-53)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044143 6.01828 [-(35*x^8-30*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-54)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044144 6.01828 [-(42*x^8-36*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-55)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044145 5.08896 [-7*(7*x^15+x^9-9*x^8-5*x^7-7*x^6-7*x^5-7*x^4-7*x^3-8*x^2-6*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044146 4.81195 [-(7*x^16-7*x^15-7*x^9+7*x^8-41*x^7-49*x^6-49*x^5-49*x^4-49*x^3-50*x^2-48*x-8)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044147 4.54914 [-(9*x^20-9*x^19-9*x^12+9*x^11-40*x^8-49*x^7-49*x^6-49*x^5-49*x^4-44*x^3-5*x^2-49*x-9)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044175 5.95493 [(12*x^8+49*x^7+23*x^6+26*x^5+49*x^4+49*x^3+49*x^2+49*x+37)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044176 5.95493 [(11*x^8+49*x^7+17*x^6+32*x^5+49*x^4+49*x^3+49*x^2+49*x+38)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044177 5.95493 [(10*x^8+49*x^7+11*x^6+38*x^5+49*x^4+49*x^3+49*x^2+49*x+39)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044179 15.0157 [(8*x+41)/(x-1)^2 ogf] A044179 16.8967 [-1/2*(-41-2*x+(1681+196*x)^(1/2))/(-8+x) revogf] A044179 25.9950 [-2*(45+4*x)/(8*x+41)/(x-1) lgdogf] A044179 7.67472 [(49*f(x)+2041)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-41) ogf] A044179 8.22290 [{-a(n+2)+2*a(n+1)-a(n),a(0)=41,a(1)=90} ogf] A044180 6.05760 [7*(x+6)*(x^7+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044181 6.00583 [(6*x^8+36*x^7+13*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+43)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044182 6.00583 [(5*x^8+30*x^7+19*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+44)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044183 6.03778 [(4*x^8+24*x^7+25*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+45)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044184 6.03778 [(3*x^8+18*x^7+31*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+46)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044185 6.03778 [(2*x^8+12*x^7+37*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+47)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044186 6.39559 [(7*x^7+43*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+48)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044187 11.497 [-f(x)*x^2+2*f(x)*x-f(x)+64 ogf] A044187 20.2889 [64/(x-1)^2 ogf] A044187 33.7533 [x/(4+(x+16)^(1/2))^2 revogf] A044187 8.11554 [{-a(n+2)+2*a(n+1)-a(n),a(0)=64,a(1)=128} ogf] A044187 84.3831 [-2/(x-1) lgdogf] A044188 5.44549 [-(8*x^9-7*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-65)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044189 5.36041 [-2*(8*x^9-7*x^8-32*x^7-32*x^6-32*x^5-32*x^4-32*x^3-32*x^2-32*x-33)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044190 5.36041 [-(24*x^9-21*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-67)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044191 5.36041 [-4*(8*x^9-7*x^8-16*x^7-16*x^6-16*x^5-16*x^4-16*x^3-16*x^2-16*x-17)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044192 6.46083 [-(40*x^9-35*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-69)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044193 5.36041 [-2*(24*x^9-21*x^8-32*x^7-32*x^6-32*x^5-32*x^4-32*x^3-32*x^2-32*x-35)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044194 5.36041 [-(56*x^9-49*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-71)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044195 4.70650 [-8*(8*x^17+x^10-10*x^9-6*x^8-8*x^7-8*x^6-8*x^5-8*x^4-8*x^3-9*x^2-7*x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044196 4.46549 [-(8*x^18-8*x^17-8*x^10+8*x^9-55*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-65*x^2-63*x-9)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044219 14.1532 [-x^9+x^8+x^4-x^3-x+3 ogf_with_Euler_transform] A044224 5.52650 [(27*x^9+64*x^8+64*x^7+61*x^6+3*x^5+64*x^4+64*x^3+64*x^2+64*x+37)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044225 5.48332 [2*(13*x^9+32*x^8+32*x^7+27*x^6+5*x^5+32*x^4+32*x^3+32*x^2+32*x+19)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044226 5.48332 [(25*x^9+64*x^8+64*x^7+47*x^6+17*x^5+64*x^4+64*x^3+64*x^2+64*x+39)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044227 5.51233 [8*(3*x+5)*(x^8+x^7+x^6+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044228 5.51233 [(23*x^9+64*x^8+64*x^7+33*x^6+31*x^5+64*x^4+64*x^3+64*x^2+64*x+41)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044229 5.51233 [2*(11*x^9+32*x^8+32*x^7+13*x^6+19*x^5+32*x^4+32*x^3+32*x^2+32*x+21)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044230 5.51233 [(21*x^9+64*x^8+64*x^7+19*x^6+45*x^5+64*x^4+64*x^3+64*x^2+64*x+43)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044231 5.51233 [4*(5*x^9+16*x^8+16*x^7+3*x^6+13*x^5+16*x^4+16*x^3+16*x^2+16*x+11)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044232 5.84594 [(19*x^8+64*x^7+69*x^6+59*x^5+64*x^4+64*x^3+64*x^2+64*x+45)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044233 5.55573 [2*(9*x^9+32*x^8+31*x^7+x^6+32*x^5+32*x^4+32*x^3+32*x^2+32*x+23)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044234 5.55573 [(17*x^9+64*x^8+55*x^7+9*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+47)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044235 5.51233 [16*(x+3)*(x+1)*(x^7+x^4+x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044236 5.51233 [(15*x^9+64*x^8+41*x^7+23*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+49)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044237 5.51233 [2*(7*x^9+32*x^8+17*x^7+15*x^6+32*x^5+32*x^4+32*x^3+32*x^2+32*x+25)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044238 5.51233 [(13*x^9+64*x^8+27*x^7+37*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+51)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044239 5.51233 [4*(3*x^9+16*x^8+5*x^7+11*x^6+16*x^5+16*x^4+16*x^3+16*x^2+16*x+13)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044240 5.51233 [(11*x^9+64*x^8+13*x^7+51*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+53)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044241 5.84594 [2*(5*x^8+35*x^7+29*x^6+32*x^5+32*x^4+32*x^3+32*x^2+32*x+27)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044242 14.9961 [(9*x+55)/(x-1)^2 ogf] A044242 16.8766 [-1/2*(-55-2*x+(3025+256*x)^(1/2))/(-9+x) revogf] A044242 27.0026 [-(119+9*x)/(9*x+55)/(x-1) lgdogf] A044242 7.58044 [(128*f(x)+7121)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-55) ogf] A044242 8.11554 [{-a(n+2)+2*a(n+1)-a(n),a(0)=55,a(1)=119} ogf] A044243 5.59983 [8*(x+7)*(x^8+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044244 5.55573 [(7*x^9+49*x^8+15*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+57)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044245 5.55573 [2*(3*x^9+21*x^8+11*x^7+32*x^6+32*x^5+32*x^4+32*x^3+32*x^2+32*x+29)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044246 5.55573 [(5*x^9+35*x^8+29*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+59)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044247 6.29448 [4*(x^9+7*x^8+9*x^7+16*x^6+16*x^5+16*x^4+16*x^3+16*x^2+16*x+15)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044248 5.40261 [(3*x^9+21*x^8+43*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+61)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044249 5.40261 [2*(x^9+7*x^8+25*x^7+32*x^6+32*x^5+32*x^4+32*x^3+32*x^2+32*x+31)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044250 5.89591 [(8*x^8+57*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+63)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044251 19.9341 [81/(x-1)^2 ogf] A044251 27.6293 [4*x/(9+(81+4*x)^(1/2))^2 revogf] A044251 7.97364 [{-a(n+2)+2*a(n+1)-a(n),a(0)=81,a(1)=162} ogf] A044251 8.06856 [(5*f(x)+891)*(f(x)*x^2-2*f(x)*x+f(x)-81) ogf] A044251 82.8880 [-2/(x-1) lgdogf] A044252 4.92040 [-(9*x^10-8*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-82)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044253 4.84960 [-(18*x^10-16*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-83)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044254 4.84960 [-3*(9*x^10-8*x^9-27*x^8-27*x^7-27*x^6-27*x^5-27*x^4-27*x^3-27*x^2-27*x-28)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044255 4.84960 [-(36*x^10-32*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-85)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044256 4.84960 [-(45*x^10-40*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-86)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044257 4.84960 [-3*(18*x^10-16*x^9-27*x^8-27*x^7-27*x^6-27*x^5-27*x^4-27*x^3-27*x^2-27*x-29)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044258 4.84960 [-(63*x^10-56*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-88)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044259 4.84960 [-(72*x^10-64*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-89)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044260 4.29763 [-9*(9*x^19+x^11-11*x^10-7*x^9-9*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-10*x^2-8*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044286 4.84960 [(46*x^10+81*x^9+81*x^8+81*x^7+81*x^6+44*x^5+37*x^4+81*x^3+81*x^2+81*x+35)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044287 4.84960 [9*(5*x+4)*(x^9+x^8+x^7+x^6+x^5+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044288 4.84960 [(44*x^10+81*x^9+81*x^8+81*x^7+81*x^6+28*x^5+53*x^4+81*x^3+81*x^2+81*x+37)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044289 4.84960 [(43*x^10+81*x^9+81*x^8+81*x^7+81*x^6+20*x^5+61*x^4+81*x^3+81*x^2+81*x+38)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044290 4.84960 [3*(14*x^10+27*x^9+27*x^8+27*x^7+27*x^6+4*x^5+23*x^4+27*x^3+27*x^2+27*x+13)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044291 5.29499 [(41*x^9+81*x^8+81*x^7+81*x^6+85*x^5+77*x^4+81*x^3+81*x^2+81*x+40)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044292 4.88475 [(40*x^10+81*x^9+81*x^8+81*x^7+77*x^6+4*x^5+81*x^4+81*x^3+81*x^2+81*x+41)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044293 4.84960 [3*(13*x^10+27*x^9+27*x^8+27*x^7+23*x^6+4*x^5+27*x^4+27*x^3+27*x^2+27*x+14)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044294 4.84960 [(38*x^10+81*x^9+81*x^8+81*x^7+61*x^6+20*x^5+81*x^4+81*x^3+81*x^2+81*x+43)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044295 4.84960 [(37*x^10+81*x^9+81*x^8+81*x^7+53*x^6+28*x^5+81*x^4+81*x^3+81*x^2+81*x+44)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044296 4.84960 [9*(4*x+5)*(x^9+x^8+x^7+x^6+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044297 4.84960 [(35*x^10+81*x^9+81*x^8+81*x^7+37*x^6+44*x^5+81*x^4+81*x^3+81*x^2+81*x+46)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044298 4.84960 [(34*x^10+81*x^9+81*x^8+81*x^7+29*x^6+52*x^5+81*x^4+81*x^3+81*x^2+81*x+47)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044299 4.84960 [3*(11*x^10+27*x^9+27*x^8+27*x^7+7*x^6+20*x^5+27*x^4+27*x^3+27*x^2+27*x+16)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044300 4.84960 [(32*x^10+81*x^9+81*x^8+81*x^7+13*x^6+68*x^5+81*x^4+81*x^3+81*x^2+81*x+49)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044301 5.29499 [(31*x^9+81*x^8+81*x^7+86*x^6+76*x^5+81*x^4+81*x^3+81*x^2+81*x+50)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044302 4.88475 [3*(10*x^10+27*x^9+27*x^8+26*x^7+x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+17)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044303 4.84960 [(29*x^10+81*x^9+81*x^8+70*x^7+11*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+52)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044304 4.84960 [(28*x^10+81*x^9+81*x^8+62*x^7+19*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+53)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044305 4.84960 [27*(x+2)*(x^2+x+1)*(x^7+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044306 4.84960 [(26*x^10+81*x^9+81*x^8+46*x^7+35*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+55)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044307 4.84960 [(25*x^10+81*x^9+81*x^8+38*x^7+43*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+56)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044308 4.84960 [3*(8*x^10+27*x^9+27*x^8+10*x^7+17*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+19)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044309 4.84960 [(23*x^10+81*x^9+81*x^8+22*x^7+59*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+58)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044310 4.84960 [(22*x^10+81*x^9+81*x^8+14*x^7+67*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+59)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044311 5.29499 [3*(7*x^9+27*x^8+29*x^7+25*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+20)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044312 4.88475 [(20*x^10+81*x^9+79*x^8+2*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+61)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044313 4.84960 [(19*x^10+81*x^9+71*x^8+10*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+62)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044314 4.84960 [9*(2*x+7)*(x^9+x^8+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044315 4.84960 [(17*x^10+81*x^9+55*x^8+26*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+64)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044316 4.84960 [(16*x^10+81*x^9+47*x^8+34*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+65)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044317 4.84960 [3*(5*x^10+27*x^9+13*x^8+14*x^7+27*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+22)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044318 4.84960 [(14*x^10+81*x^9+31*x^8+50*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+67)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044319 4.84960 [(13*x^10+81*x^9+23*x^8+58*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+68)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044320 4.84960 [3*(4*x^10+27*x^9+5*x^8+22*x^7+27*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+23)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044321 5.29499 [(11*x^9+88*x^8+74*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+70)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044322 14.4204 [(10*x+71)/(x-1)^2 ogf] A044322 16.1733 [-1/2*(-71-2*x+(5041+324*x)^(1/2))/(-10+x) revogf] A044322 24.5594 [-2*(76+5*x)/(10*x+71)/(x-1) lgdogf] A044322 7.4479 [(81*f(x)+5801)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-71) ogf] A044322 7.97364 [{-a(n+2)+2*a(n+1)-a(n),a(0)=71,a(1)=152} ogf] A044323 4.92040 [9*(x+8)*(x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044324 4.88475 [(8*x^10+64*x^9+17*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+73)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044325 4.88475 [(7*x^10+56*x^9+25*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+74)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044326 4.88475 [3*(2*x^10+16*x^9+11*x^8+27*x^7+27*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+25)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044327 4.88475 [(5*x^10+40*x^9+41*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+76)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044328 4.88475 [(4*x^10+32*x^9+49*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+77)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044329 4.88475 [3*(x^10+8*x^9+19*x^8+27*x^7+27*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+26)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044330 4.88475 [(2*x^10+16*x^9+65*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+79)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044331 5.33669 [(9*x^9+73*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+80)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044332 10.9724 [-f(x)*x^2+2*f(x)*x-f(x)+100 ogf] A044332 19.1233 [100/(x-1)^2 ogf] A044332 32.7383 [x/(5+(x+25)^(1/2))^2 revogf] A044332 7.78276 [{-a(n+2)+2*a(n+1)-a(n),a(0)=100,a(1)=200} ogf] A044332 81.8458 [-2/(x-1) lgdogf] A044334 4.20954 [-2*(10*x^11-9*x^10-50*x^9-50*x^8-50*x^7-50*x^6-50*x^5-50*x^4-50*x^3-50*x^2-50*x-51)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044336 4.20954 [-4*(10*x^11-9*x^10-25*x^9-25*x^8-25*x^7-25*x^6-25*x^5-25*x^4-25*x^3-25*x^2-25*x-26)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044337 4.20954 [-5*(10*x^11-9*x^10-20*x^9-20*x^8-20*x^7-20*x^6-20*x^5-20*x^4-20*x^3-20*x^2-20*x-21)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044338 4.20954 [-2*(30*x^11-27*x^10-50*x^9-50*x^8-50*x^7-50*x^6-50*x^5-50*x^4-50*x^3-50*x^2-50*x-53)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044340 4.20954 [-4*(20*x^11-18*x^10-25*x^9-25*x^8-25*x^7-25*x^6-25*x^5-25*x^4-25*x^3-25*x^2-25*x-27)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044367 4.34027 [5*(13*x^11+20*x^10+20*x^9+20*x^8+20*x^7+20*x^6+17*x^5+3*x^4+20*x^3+20*x^2+20*x+7)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044368 4.34027 [4*(16*x^11+25*x^10+25*x^9+25*x^8+25*x^7+25*x^6+19*x^5+6*x^4+25*x^3+25*x^2+25*x+9)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044370 4.34027 [2*(31*x^11+50*x^10+50*x^9+50*x^8+50*x^7+50*x^6+29*x^5+21*x^4+50*x^3+50*x^2+50*x+19)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044372 4.34027 [20*(3*x+2)*(x+1)*(x^9+x^7+x^5+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044374 4.34027 [2*(29*x^11+50*x^10+50*x^9+50*x^8+50*x^7+50*x^6+11*x^5+39*x^4+50*x^3+50*x^2+50*x+21)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044376 4.66045 [4*(14*x^10+25*x^9+25*x^8+25*x^7+25*x^6+26*x^5+24*x^4+25*x^3+25*x^2+25*x+11)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044377 4.36809 [5*(11*x^11+20*x^10+20*x^9+20*x^8+20*x^7+19*x^6+x^5+20*x^4+20*x^3+20*x^2+20*x+9)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044378 4.34027 [2*(27*x^11+50*x^10+50*x^9+50*x^8+50*x^7+43*x^6+7*x^5+50*x^4+50*x^3+50*x^2+50*x+23)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044380 4.34027 [4*(13*x^11+25*x^10+25*x^9+25*x^8+25*x^7+17*x^6+8*x^5+25*x^4+25*x^3+25*x^2+25*x+12)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044382 4.34027 [50*(x+1)*(x^2+1)*(x^4+x^3+x^2+x+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044384 4.34027 [4*(12*x^11+25*x^10+25*x^9+25*x^8+25*x^7+8*x^6+17*x^5+25*x^4+25*x^3+25*x^2+25*x+13)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044386 4.34027 [2*(23*x^11+50*x^10+50*x^9+50*x^8+50*x^7+7*x^6+43*x^5+50*x^4+50*x^3+50*x^2+50*x+27)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044387 4.66045 [5*(9*x^10+20*x^9+20*x^8+20*x^7+21*x^6+19*x^5+20*x^4+20*x^3+20*x^2+20*x+11)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044388 4.36809 [4*(11*x^11+25*x^10+25*x^9+25*x^8+24*x^7+x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+14)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044390 4.34027 [2*(21*x^11+50*x^10+50*x^9+50*x^8+39*x^7+11*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+29)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044392 4.34027 [20*(2*x+3)*(x+1)*(x^9+x^7+x^4+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044394 4.34027 [2*(19*x^11+50*x^10+50*x^9+50*x^8+21*x^7+29*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+31)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044396 4.34027 [4*(9*x^11+25*x^10+25*x^9+25*x^8+6*x^7+19*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+16)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044397 4.34027 [5*(7*x^11+20*x^10+20*x^9+20*x^8+3*x^7+17*x^6+20*x^5+20*x^4+20*x^3+20*x^2+20*x+13)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044398 4.66045 [2*(17*x^10+50*x^9+50*x^8+53*x^7+47*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+33)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044400 4.34027 [4*(8*x^11+25*x^10+25*x^9+22*x^8+3*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+17)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044402 4.34027 [10*(3*x+7)*(x^10+x^9+x^8+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044404 4.34027 [4*(7*x^11+25*x^10+25*x^9+13*x^8+12*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+18)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044406 4.34027 [2*(13*x^11+50*x^10+50*x^9+17*x^8+33*x^7+50*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+37)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044407 4.34027 [25*(x+1)*(x^10+3*x^9+x^8+3*x^6+x^5+3*x^4+x^3+3*x^2+x+3)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044408 4.34027 [4*(6*x^11+25*x^10+25*x^9+4*x^8+21*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+19)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044409 4.66045 [(23*x^10+100*x^9+107*x^8+93*x^7+100*x^6+100*x^5+100*x^4+100*x^3+100*x^2+100*x+77)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044410 4.36809 [2*(11*x^11+50*x^10+49*x^9+x^8+50*x^7+50*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+39)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044412 4.34027 [20*(x+4)*(x+1)*(x^2-x+1)*(x^7+x^6+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044414 4.34027 [2*(9*x^11+50*x^10+31*x^9+19*x^8+50*x^7+50*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+41)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044416 4.34027 [4*(4*x^11+25*x^10+11*x^9+14*x^8+25*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+21)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044417 4.34027 [5*(3*x^11+20*x^10+7*x^9+13*x^8+20*x^7+20*x^6+20*x^5+20*x^4+20*x^3+20*x^2+20*x+17)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044418 4.34027 [2*(7*x^11+50*x^10+13*x^9+37*x^8+50*x^7+50*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+43)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044420 4.66045 [4*(3*x^10+27*x^9+23*x^8+25*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+22)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044421 14.5763 [(11*x+89)/(x-1)^2 ogf] A044421 16.3520 [-1/2*(-89-2*x+(7921+400*x)^(1/2))/(-11+x) revogf] A044421 24.8308 [-(189+11*x)/(11*x+89)/(x-1) lgdogf] A044421 7.36652 [(200*f(x)+17921)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-89) ogf] A044421 8.05984 [{-a(n+2)+2*a(n+1)-a(n),a(0)=89,a(1)=189} ogf] A044422 4.34027 [10*(x+9)*(x^2+1)*(x^8+x^5+x^4+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044424 4.36809 [4*(2*x^11+18*x^10+7*x^9+25*x^8+25*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+23)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044426 4.36809 [2*(3*x^11+27*x^10+23*x^9+50*x^8+50*x^7+50*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+47)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044427 4.36809 [5*(x^11+9*x^10+11*x^9+20*x^8+20*x^7+20*x^6+20*x^5+20*x^4+20*x^3+20*x^2+20*x+19)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044428 4.36809 [4*(x^11+9*x^10+16*x^9+25*x^8+25*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+24)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044430 4.36809 [2*(x^11+9*x^10+41*x^9+50*x^8+50*x^7+50*x^6+50*x^5+50*x^4+50*x^3+50*x^2+50*x+49)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044431 4.66045 [(10*x^10+91*x^9+100*x^8+100*x^7+100*x^6+100*x^5+100*x^4+100*x^3+100*x^2+100*x+99)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044432 5.34443 [(x+1)*(x^2-x+1)*(x^8+x^7+x^2+1)/(x-1)/(2*x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A044485 6.38369 [-(17*x^7-15*x^6-36*x^5-36*x^4-36*x^3-36*x^2-36*x-38)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044486 6.38369 [-(23*x^7-20*x^6-36*x^5-36*x^4-36*x^3-36*x^2-36*x-39)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044487 6.38369 [-(29*x^7-25*x^6-36*x^5-36*x^4-36*x^3-36*x^2-36*x-40)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044488 6.38369 [-(35*x^7-30*x^6-36*x^5-36*x^4-36*x^3-36*x^2-36*x-41)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044491 4.92017 [(27*x^18-27*x^17-27*x^11+27*x^10+28*x^7+36*x^6+36*x^5+36*x^4+27*x^3+9*x^2+36*x+8)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044492 4.88693 [(26*x^19-26*x^18-26*x^12+26*x^11+27*x^7+36*x^6+36*x^5+36*x^4+22*x^3+14*x^2+36*x+9)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044493 4.72389 [(25*x^20-25*x^19-25*x^13+25*x^12+26*x^7+36*x^6+36*x^5+36*x^4+17*x^3+19*x^2+36*x+10)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044494 4.72389 [(24*x^21-24*x^20-24*x^14+24*x^13+25*x^7+36*x^6+36*x^5+36*x^4+12*x^3+24*x^2+36*x+11)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044497 5.02389 [(18*x^21-18*x^20-18*x^15+18*x^14+22*x^6+36*x^5+36*x^4+33*x^3+39*x^2+36*x+14)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A044519 7.70030 [-(6*x^7-55*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-49)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044520 5.98661 [-(13*x^8-12*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-50)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044521 6.01828 [-(20*x^8-18*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-51)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044522 6.01828 [-(27*x^8-24*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-52)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044523 6.01828 [-(34*x^8-30*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-53)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044524 6.01828 [-(41*x^8-36*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-54)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044525 6.01828 [-(48*x^8-42*x^7-49*x^6-49*x^5-49*x^4-49*x^3-49*x^2-49*x-55)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044526 10.7345 [-7*(7*x^8-7*x^7-6*x-1)/(x-1)^2 ogf] A044526 12.4473 [(8+6*x+49*x^6+42*x^8-91*x^7)/(x-1)/(7*x^8-7*x^7-6*x-1) lgdogf] A044527 4.68012 [(35*x^16-35*x^15-35*x^9+35*x^8+41*x^7+49*x^6+49*x^5+49*x^4+49*x^3+44*x^2+54*x+8)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044528 4.40426 [(39*x^20-39*x^19-39*x^12+39*x^11+40*x^8+49*x^7+49*x^6+49*x^5+49*x^4+38*x^3+11*x^2+49*x+9)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044556 5.95493 [(12*x^8+49*x^7+17*x^6+32*x^5+49*x^4+49*x^3+49*x^2+49*x+37)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044557 5.95493 [(11*x^8+49*x^7+11*x^6+38*x^5+49*x^4+49*x^3+49*x^2+49*x+38)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044558 6.00583 [(10*x^8+49*x^7+5*x^6+44*x^5+49*x^4+49*x^3+49*x^2+49*x+39)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044561 6.00583 [(7*x^8+36*x^7+13*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+42)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044562 6.00583 [(6*x^8+30*x^7+19*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+43)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044563 6.03778 [(5*x^8+24*x^7+25*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+44)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044564 6.03778 [(4*x^8+18*x^7+31*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+45)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044565 6.03778 [(3*x^8+12*x^7+37*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+46)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044566 6.08983 [(2*x^8+6*x^7+43*x^6+49*x^5+49*x^4+49*x^3+49*x^2+49*x+47)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044567 18.0790 [(x+48)/(x-1)^2 ogf] A044567 25.5072 [-(-24-x+(576+49*x)^(1/2))/(-1+x) revogf] A044567 40.8116 [-(97+x)/(x+48)/(x-1) lgdogf] A044567 9.24035 [(98*f(x)+4705)*(f(x)*x^2-2*f(x)*x+f(x)-x-48) ogf] A044567 9.90038 [{-a(n+2)+2*a(n+1)-a(n),a(0)=48,a(1)=97} ogf] A044568 5.89591 [-(7*x^8-71*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-64)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044569 5.36041 [-(15*x^9-14*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-65)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044570 5.36041 [-(23*x^9-21*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-66)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044571 5.36041 [-(31*x^9-28*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-67)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044572 5.36041 [-(39*x^9-35*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-68)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044573 6.46083 [-(47*x^9-42*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-69)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044574 5.36041 [-(55*x^9-49*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-70)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044575 5.36041 [-(63*x^9-56*x^8-64*x^7-64*x^6-64*x^5-64*x^4-64*x^3-64*x^2-64*x-71)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044576 10.6632 [-8*(8*x^9-8*x^8-7*x-1)/(x-1)^2 ogf] A044576 12.1398 [(9+7*x+56*x^9-120*x^8+64*x^7)/(x-1)/(8*x^9-8*x^8-7*x-1) lgdogf] A044577 4.35099 [(48*x^18-48*x^17-48*x^10+48*x^9+55*x^8+64*x^7+64*x^6+64*x^5+64*x^4+64*x^3+58*x^2+70*x+9)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044605 5.48332 [(27*x^9+64*x^8+64*x^7+54*x^6+10*x^5+64*x^4+64*x^3+64*x^2+64*x+37)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044606 5.48332 [(26*x^9+64*x^8+64*x^7+47*x^6+17*x^5+64*x^4+64*x^3+64*x^2+64*x+38)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044607 5.48332 [(25*x^9+64*x^8+64*x^7+40*x^6+24*x^5+64*x^4+64*x^3+64*x^2+64*x+39)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044608 5.51233 [(24*x^9+64*x^8+64*x^7+33*x^6+31*x^5+64*x^4+64*x^3+64*x^2+64*x+40)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044609 5.51233 [(23*x^9+64*x^8+64*x^7+26*x^6+38*x^5+64*x^4+64*x^3+64*x^2+64*x+41)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044610 5.51233 [(22*x^9+64*x^8+64*x^7+19*x^6+45*x^5+64*x^4+64*x^3+64*x^2+64*x+42)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044611 5.51233 [(21*x^9+64*x^8+64*x^7+12*x^6+52*x^5+64*x^4+64*x^3+64*x^2+64*x+43)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044612 5.55573 [(20*x^9+64*x^8+64*x^7+5*x^6+59*x^5+64*x^4+64*x^3+64*x^2+64*x+44)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044613 5.84594 [(19*x^8+64*x^7+62*x^6+66*x^5+64*x^4+64*x^3+64*x^2+64*x+45)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044614 5.55573 [(18*x^9+64*x^8+55*x^7+9*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+46)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044615 5.51233 [(17*x^9+64*x^8+48*x^7+16*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+47)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044616 5.51233 [(16*x^9+64*x^8+41*x^7+23*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+48)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044617 5.51233 [(15*x^9+64*x^8+34*x^7+30*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+49)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044618 5.51233 [(14*x^9+64*x^8+27*x^7+37*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+50)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044619 5.51233 [(13*x^9+64*x^8+20*x^7+44*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+51)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044620 5.51233 [(12*x^9+64*x^8+13*x^7+51*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+52)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044621 5.55573 [(11*x^9+64*x^8+6*x^7+58*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+53)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044622 5.84594 [(10*x^8+63*x^7+65*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+54)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044623 5.89591 [(9*x^8+56*x^7+72*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+55)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044624 5.55573 [(8*x^9+49*x^8+15*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+56)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044625 5.55573 [(7*x^9+42*x^8+22*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+57)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044626 5.55573 [(6*x^9+35*x^8+29*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+58)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044627 5.55573 [(5*x^9+28*x^8+36*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+59)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044628 5.55573 [(4*x^9+21*x^8+43*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+60)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044629 5.40261 [(3*x^9+14*x^8+50*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+61)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044630 5.44549 [(2*x^9+7*x^8+57*x^7+64*x^6+64*x^5+64*x^4+64*x^3+64*x^2+64*x+62)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044631 18.0612 [(x+63)/(x-1)^2 ogf] A044631 20.3875 [-1/2*(-63-2*x+(3969+256*x)^(1/2))/(-1+x) revogf] A044631 38.8333 [-(127+x)/(x+63)/(x-1) lgdogf] A044631 9.12984 [(128*f(x)+8065)*(f(x)*x^2-2*f(x)*x+f(x)-x-63) ogf] A044631 9.77429 [{-a(n+2)+2*a(n+1)-a(n),a(0)=63,a(1)=127} ogf] A044632 5.33669 [-(8*x^9-89*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-81)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044633 4.84960 [-(17*x^10-16*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-82)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044634 4.84960 [-(26*x^10-24*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-83)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044635 4.84960 [-(35*x^10-32*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-84)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044636 4.84960 [-(44*x^10-40*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-85)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044637 4.84960 [-(53*x^10-48*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-86)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044638 4.84960 [-(62*x^10-56*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-87)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044639 4.84960 [-(71*x^10-64*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-88)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044640 4.84960 [-(80*x^10-72*x^9-81*x^8-81*x^7-81*x^6-81*x^5-81*x^4-81*x^3-81*x^2-81*x-89)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044641 10.3143 [-9*(9*x^10-9*x^9-8*x-1)/(x-1)^2 ogf] A044641 11.3065 [(10-153*x^9+8*x+72*x^10+81*x^8)/(x-1)/(9*x^10-9*x^9-8*x-1) lgdogf] A044667 4.84960 [(46*x^10+81*x^9+81*x^8+81*x^7+81*x^6+36*x^5+45*x^4+81*x^3+81*x^2+81*x+35)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044668 4.84960 [(45*x^10+81*x^9+81*x^8+81*x^7+81*x^6+28*x^5+53*x^4+81*x^3+81*x^2+81*x+36)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044669 4.84960 [(44*x^10+81*x^9+81*x^8+81*x^7+81*x^6+20*x^5+61*x^4+81*x^3+81*x^2+81*x+37)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044670 4.84960 [(43*x^10+81*x^9+81*x^8+81*x^7+81*x^6+12*x^5+69*x^4+81*x^3+81*x^2+81*x+38)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044671 4.88475 [(42*x^10+81*x^9+81*x^8+81*x^7+81*x^6+4*x^5+77*x^4+81*x^3+81*x^2+81*x+39)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044672 5.29499 [(41*x^9+81*x^8+81*x^7+81*x^6+77*x^5+85*x^4+81*x^3+81*x^2+81*x+40)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044673 4.84960 [(40*x^10+81*x^9+81*x^8+81*x^7+69*x^6+12*x^5+81*x^4+81*x^3+81*x^2+81*x+41)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044674 4.84960 [(39*x^10+81*x^9+81*x^8+81*x^7+61*x^6+20*x^5+81*x^4+81*x^3+81*x^2+81*x+42)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044675 4.84960 [(38*x^10+81*x^9+81*x^8+81*x^7+53*x^6+28*x^5+81*x^4+81*x^3+81*x^2+81*x+43)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044676 4.84960 [(37*x^10+81*x^9+81*x^8+81*x^7+45*x^6+36*x^5+81*x^4+81*x^3+81*x^2+81*x+44)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044677 4.84960 [(36*x^10+81*x^9+81*x^8+81*x^7+37*x^6+44*x^5+81*x^4+81*x^3+81*x^2+81*x+45)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044678 4.84960 [(35*x^10+81*x^9+81*x^8+81*x^7+29*x^6+52*x^5+81*x^4+81*x^3+81*x^2+81*x+46)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044679 4.84960 [(34*x^10+81*x^9+81*x^8+81*x^7+21*x^6+60*x^5+81*x^4+81*x^3+81*x^2+81*x+47)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044680 4.84960 [(33*x^10+81*x^9+81*x^8+81*x^7+13*x^6+68*x^5+81*x^4+81*x^3+81*x^2+81*x+48)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044681 4.88475 [(32*x^10+81*x^9+81*x^8+81*x^7+5*x^6+76*x^5+81*x^4+81*x^3+81*x^2+81*x+49)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044682 5.29499 [(31*x^9+81*x^8+81*x^7+78*x^6+84*x^5+81*x^4+81*x^3+81*x^2+81*x+50)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044683 4.84960 [(30*x^10+81*x^9+81*x^8+70*x^7+11*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+51)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044684 4.84960 [(29*x^10+81*x^9+81*x^8+62*x^7+19*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+52)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044685 4.84960 [(28*x^10+81*x^9+81*x^8+54*x^7+27*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+53)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044686 4.84960 [(27*x^10+81*x^9+81*x^8+46*x^7+35*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+54)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044687 4.84960 [(26*x^10+81*x^9+81*x^8+38*x^7+43*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+55)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044688 4.84960 [(25*x^10+81*x^9+81*x^8+30*x^7+51*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+56)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044689 4.84960 [(24*x^10+81*x^9+81*x^8+22*x^7+59*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+57)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044690 4.84960 [(23*x^10+81*x^9+81*x^8+14*x^7+67*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+58)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044691 4.88475 [(22*x^10+81*x^9+81*x^8+6*x^7+75*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+59)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044692 5.29499 [(21*x^9+81*x^8+79*x^7+83*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+60)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044693 4.84960 [(20*x^10+81*x^9+71*x^8+10*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+61)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044694 4.84960 [(19*x^10+81*x^9+63*x^8+18*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+62)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044695 4.84960 [(18*x^10+81*x^9+55*x^8+26*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+63)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044696 4.84960 [(17*x^10+81*x^9+47*x^8+34*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+64)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044697 4.84960 [(16*x^10+81*x^9+39*x^8+42*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+65)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044698 4.84960 [(15*x^10+81*x^9+31*x^8+50*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+66)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044699 4.84960 [(14*x^10+81*x^9+23*x^8+58*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+67)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044700 4.84960 [(13*x^10+81*x^9+15*x^8+66*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+68)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044701 4.88475 [(12*x^10+81*x^9+7*x^8+74*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+69)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044702 5.29499 [(11*x^9+80*x^8+82*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+70)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044703 5.29499 [(10*x^9+72*x^8+90*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+71)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044704 4.88475 [(9*x^10+64*x^9+17*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+72)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044705 4.88475 [(8*x^10+56*x^9+25*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+73)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044706 4.88475 [(7*x^10+48*x^9+33*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+74)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044707 4.88475 [(6*x^10+40*x^9+41*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+75)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044708 4.88475 [(5*x^10+32*x^9+49*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+76)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044709 5.90308 [(4*x^10+32*x^9+49*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+77)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044710 4.88475 [(3*x^10+16*x^9+65*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+78)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044711 4.92040 [(2*x^10+8*x^9+73*x^8+81*x^7+81*x^6+81*x^5+81*x^4+81*x^3+81*x^2+81*x+79)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044712 14.7339 [(x+80)/(x-1)^2 ogf] A044712 20.0941 [-(-40-x+(1600+81*x)^(1/2))/(-1+x) revogf] A044712 31.5764 [-(161+x)/(x+80)/(x-1) lgdogf] A044712 7.36694 [(162*f(x)+12961)*(f(x)*x^2-2*f(x)*x+f(x)-x-80) ogf] A044712 7.97364 [{-a(n+2)+2*a(n+1)-a(n),a(0)=80,a(1)=161} ogf] A044713 4.52241 [-(9*x^10-109*x^9-100*x^8-100*x^7-100*x^6-100*x^5-100*x^4-100*x^3-100*x^2-100*x-100)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044723 10.6418 [(11+9*x+90*x^11-190*x^10+100*x^9)/(x-1)/(10*x^11-10*x^10-9*x-1) lgdogf] A044723 9.92878 [-10*(10*x^11-10*x^10-9*x-1)/(x-1)^2 ogf] A044757 4.66045 [(56*x^10+100*x^9+100*x^8+100*x^7+100*x^6+95*x^5+105*x^4+100*x^3+100*x^2+100*x+44)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044768 4.66045 [(45*x^10+100*x^9+100*x^8+100*x^7+96*x^6+104*x^5+100*x^4+100*x^3+100*x^2+100*x+55)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044779 4.66045 [(34*x^10+100*x^9+100*x^8+97*x^7+103*x^6+100*x^5+100*x^4+100*x^3+100*x^2+100*x+66)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044790 4.66045 [(23*x^10+100*x^9+98*x^8+102*x^7+100*x^6+100*x^5+100*x^4+100*x^3+100*x^2+100*x+77)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044801 4.66045 [(12*x^10+99*x^9+101*x^8+100*x^7+100*x^6+100*x^5+100*x^4+100*x^3+100*x^2+100*x+88)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044802 4.66045 [(11*x^10+90*x^9+110*x^8+100*x^7+100*x^6+100*x^5+100*x^4+100*x^3+100*x^2+100*x+89)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044812 14.8932 [(x+99)/(x-1)^2 ogf] A044812 16.7608 [-1/2*(-99-2*x+(9801+400*x)^(1/2))/(-1+x) revogf] A044812 31.9253 [-(199+x)/(x+99)/(x-1) lgdogf] A044812 7.44659 [(200*f(x)+19801)*(f(x)*x^2-2*f(x)*x+f(x)-x-99) ogf] A044812 8.05984 [{-a(n+2)+2*a(n+1)-a(n),a(0)=99,a(1)=199} ogf] A044833 7.31797 [8*(43*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044834 6.67000 [9*(57*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044835 5.66319 [10*(73*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A044836 5.20949 [11*(91*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044837 4.84002 [12*(111*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044838 4.51949 [13*(133*x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A044839 4.21586 [14*(157*x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A044840 3.96932 [15*(183*x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A044841 3.72964 [16*(211*x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A044885 4.31437 [-(2575*x^15+32901*x^14-35686*x^13+35672*x^2-32941*x-2745)/(x^14+13*x^13+13*x+1)/(x-1)^2 ogf] A044909 4.18338 [-(56*x^15-8*x^14-8*x^13-8*x^12-8*x^11-8*x^10-8*x^9-8*x^8-57*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A044940 19.1778 [10*x^9*(-10+71*x^51)/(-10+10*x^10+71*x^51) lgdogf] A044941 14.1310 [-11*x^10/(x-1)/(1+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x) lgdogf] A044941 14.6607 [-x^10/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A044941 25.1863 [[x^10] ogf_with_Euler_transform] A045213 4.48710 [-(620*x^10-16*x^9-80*x^8-400*x^7-149*x^6-80*x^5-16*x^4-384*x^3-16*x^2-80*x-2524)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A045379 18.0880 [-a(n)+(n+1)*a(n+1),a(0)=5,a(1)=1 lgdegf] A045445 10.409 [x^3*f(x)^2-7*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A045445 13.1953 [-2*((x-1)^(1/2)*(5*x-1)^(1/2)+1)/(x-1)^(1/2)/(5*x-1)^(1/2)/x lgdogf] A045445 4.50277 [{(-5*n^2-25*n-30)*a(n+1)+(6*n^2+39*n+63)*a(n+2)+(-n^2-8*n-12)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A045479 99.9999 Evaluated at exp(-Pi) 24*exp(-Pi) A045490 99.9999 Evaluated at exp(-Pi) 6*exp(-Pi)*2^(1/2)*(2+2^(1/2)) A045492 9.41169 [-19+400*x+(1-44*x+160*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045496 7.54827 [(1+4*x+2009*x^8-3646*x^7+1380*x^6+218*x^5-37*x^4+80*x^3-8*x^2)/(x-1)/(287*x^8-225*x^7-39*x^6-4*x^5-19*x^4+2*x^3-2*x^2-1) lgdogf] A045496 9.72727 [(287*x^8-225*x^7-39*x^6-4*x^5-19*x^4+2*x^3-2*x^2-1)/(x-1) ogf] A045497 10.1548 [(288*x^8-225*x^7-39*x^6-24*x^4+3*x^3-2*x^2-x-1)/(x-1) ogf] A045497 7.67621 [(2+4*x+2016*x^8-3654*x^7+1380*x^6+234*x^5-72*x^4+102*x^3-11*x^2)/(x-1)/(288*x^8-225*x^7-39*x^6-24*x^4+3*x^3-2*x^2-x-1) lgdogf] A045502 12.3850 [-3*(33-66*x+x^2)/(x-1)/(x^2-98*x+1) lgdogf] A045502 12.8632 [-40*x/(x-1)/(x^2-98*x+1) ogf] A045502 5.27722 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=40,a(2)=3960} ogf] A045502 7.71794 [f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+40*x ogf] A045505 2.96027 [{(-16*n^2-216*n-728)*a(n+1)+(8*n^2+82*n+174)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=21,a(2)=262} ogf] A045505 9.62201 [-21+484*x+(1-48*x+176*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045506 12.8686 [-(x^3-2*x^2-3*x+1)/(x+1)/(x-1)^2 ogf] A045506 18.6211 [(2+4*x+x^3+5*x^2)/(x-1)/(x+1)/(x^3-2*x^2-3*x+1) lgdogf] A045506 6.72679 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=-1,a(1)=2,a(2)=3,a(3)=5} ogf] A045506 7.16077 [-(3*f(x)-14)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-2*x^2+f(x)-3*x+1) ogf] A045530 3.02359 [{(-16*n^2-232*n-840)*a(n+1)+(8*n^2+86*n+186)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=23,a(2)=310} ogf] A045530 9.83233 [-23+576*x+(1-52*x+192*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045543 46.1296 [-24/(-1+4*x) lgdogf] A045543 5.33332 [{(-n-2)*a(n+2)+(28+4*n)*a(n+1),a(0)=1,a(1)=24} ogf] A045543 7.06665 [1/(4*x-1)^6 ogf] A045572 11.0950 [(x^4+2*x^3+4*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045572 9.20667 [-(3+11*x+5*x^6+15*x^5+13*x^2+17*x^3+15*x^4+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A045582 12.9598 [(11*f(x)*x-f(x)+1)^2 ogf] A045618 13.1328 [1/(2*x-1)^2/(x-1)^2 ogf] A045618 26.2577 [-2*(-3+4*x)/(2*x-1)/(x-1) lgdogf] A045618 4.37759 [{(-n-3)*a(n+3)+(12+3*n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=23} ogf] A045618 5.44531 [(257*f(x)+140)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A045621 3.69175 [{(-8*n-16)*a(n+1)+(4*n+8)*a(n+2)+(2*n+10)*a(n+3)+(-n-5)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A045621 7.65551 [4*x^3*f(x)^2-4*f(x)^2*x^2+f(x)^2*x+2*f(x)*x-f(x)+x ogf] A045622 3.07108 [{(-16*n^2-248*n-960)*a(n+1)+(8*n^2+90*n+198)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=25,a(2)=362} ogf] A045622 9.99006 [-25+676*x+(1-56*x+208*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045623 12.7064 [(x-1)^2/(2*x-1)^2 ogf] A045623 41.2395 [2/(-1+2*x)/(x-1) lgdogf] A045623 6.60233 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A045623 8.57564 [(27*f(x)+37)*(4*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A045624 13.0665 [1/4*((17*x+1)^(1/4)-(x+1)^(1/4))/(17*x+1)^(1/4) revogf] A045624 4.09221 [(20468*f(x)+8943)*(272*f(x)*x^4-272*f(x)*x^3+102*f(x)*x^2+16*x^3-17*f(x)*x-16*x^2+f(x)+6*x-1) ogf] A045624 7.28033 [-(2*x-1)*(8*x^2-4*x+1)/(272*x^4-272*x^3+102*x^2-17*x+1) ogf] A045626 6.70788 [-(2*x^4+x^3-2*x^2-3*x+1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A045635 3.36709 [{(-5*n^2-25*n-30)*a(n+1)+(6*n^2+39*n+63)*a(n+2)+(-n^2-8*n-7)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A045635 5.86741 [f(x)^2*x^4+18*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+x^2-f(x) ogf] A045635 9.77228 [-3*((x-1)^(1/2)*(5*x-1)^(1/2)+1)/(x-1)^(1/2)/(5*x-1)^(1/2)/x lgdogf] A045651 4.79840 [(x^8+8*x^7+28*x^6+56*x^5+198*x^4+56*x^3+28*x^2+8*x+1)/(x-1)^8 ogf] A045651 5.09077 [-16*(x+1)*(x^6+6*x^5+15*x^4+52*x^3+15*x^2+6*x+1)/(x-1)/(x^8+8*x^7+28*x^6+56*x^5+198*x^4+56*x^3+28*x^2+8*x+1) lgdogf] A045694 3.32831 [(281*x^13-3677*x^12-1132*x^11-699*x^9+183*x^8-172*x^7-208*x^5+574*x^4+122*x^3+61*x-61)/(3*x-1)/(3677*x^12-183*x^8-574*x^4+61) ogf] A045720 10.9029 [-27+144*x+(3-36*x+96*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045720 3.32623 [{(-16*n^2-136*n-288)*a(n+1)+(8*n^2+70*n+144)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=1,a(1)=9,a(2)=57} ogf] A045721 10.3409 [hypergeom([2/3,4/3],[3/2],27/4*x) ogf] A045721 12.2415 [1/2*(1+27*x^2+((9*x^2+2*x+1)*(9*x-1)^2)^(1/2))*x revogf] A045721 4.72260 [{(-27*n^2-108*n-105)*a(n+1)+(4*n^2+18*n+20)*a(n+2),a(0)=1,a(1)=4} ogf] A045721 9.99618 [27*f(x)^3*x^2-4*f(x)^3*x+f(x)-1 ogf] A045722 3.04452 [27*f(x)^3*x^3-4*f(x)^3*x^2+81*x^3*f(x)^2-66*f(x)^2*x^2+81*f(x)*x^3+8*f(x)^2*x-120*f(x)*x^2+27*x^3+44*f(x)*x-58*x^2-4*f(x)-28*x+4 ogf] A045724 3.06016 [{(-16*n^2-168*n-440)*a(n+1)+(8*n^2+70*n+138)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=15,a(2)=142} ogf] A045724 9.95010 [-15+256*x+(1-36*x+128*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045736 4.65080 [-(400*x^11-50*x^10-350*x^9-600*x^8-50*x^7-16*x^6-34*x^5-50*x^4-16*x^3-4*x^2-6*x-1)/(x-1)/(1000*x^11-1) ogf] A045737 4.37942 [{(-27*n^2-81*n-60)*a(n+1)+(4*n^2+14*n)*a(n+2),a(0)=0,a(1)=0,a(2)=3} ogf] A045737 4.41338 [27*f(x)^3*x^4-4*f(x)^3*x^3-42*f(x)*x^3+42*f(x)*x^2+8*x^3-12*f(x)*x-3*x^2+f(x) ogf] A045737 8.13321 [3*x^2*hypergeom([7/3,8/3],[9/2],27/4*x) ogf] A045738 5.36215 [27*f(x)^3*x^4-4*f(x)^3*x^3-24*f(x)*x^3+28*f(x)*x^2+8*x^3-10*f(x)*x-12*x^2+f(x)+6*x-1 ogf] A045741 6.01552 [1/216*(6*(12*x^2+12*x+1)^(1/2)*x^2-3*(12*x^2+12*x+1)^(1/2)*x-(12*x^2+12*x+1)^(1/2)+9*x+1)/x^3 revogf] A045741 7.23065 [-108*f(x)^3*x^4+f(x)^3*x^2+9*f(x)*x-f(x)+1 ogf] A045743 28.7707 [-x*(x^2-1-x)/(x+1)^4 revogf] A045744 28.7590 [-x*(x^3-1-x)/(x+1)^5 revogf] A045754 11.8825 [-1/7*(1-6*x)^(1/6)+6/7*(1-6*x)^(1/6)*x+1/7 revegf] A045754 33.2711 [-1+(1-7*x)*f(x) lgdegf] A045754 5.79724 [{(-7*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A045755 12.1466 [-1/8*(1-7*x)^(1/7)+7/8*(1-7*x)^(1/7)*x+1/8 revegf] A045755 34.0104 [-1+(1-8*x)*f(x) lgdegf] A045755 5.92326 [{(-8*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A045756 27.0504 [-10+(1-9*x)*f(x) lgdegf] A045756 4.92624 [{(-9*n-19)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A045756 6.76259 [1/9*(x^2+3*x+3)*(x^6+6*x^5+15*x^4+21*x^3+18*x^2+9*x+3)*x/(x+1)^9 revegf] A045757 25.6144 [-11+(1-10*x)*f(x) lgdegf] A045757 4.90111 [{(-10*n-21)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A045757 6.13303 [1/10*x*(x+2)*(x^4+3*x^3+4*x^2+2*x+1)*(x^4+5*x^3+10*x^2+10*x+5)/(x+1)^10 revegf] A045785 4.84259 [-(16965*x^16-34104*x^15+17139*x^14+1647*x^6-3348*x^5+1701*x^4+171*x^3-344*x^2+150*x+25)/(x-1)^3 ogf] A045786 5.27141 [-(25960*x^14-52140*x^13+26180*x^12+2555*x^5-5180*x^4+2878*x^3-503*x^2+216*x+36)/(x-1)^3 ogf] A045794 5.94171 [-(1-4*x^9+18*x^8+12*x^6+9*x^2+2*x+8*x^4+6*x^3+2*x^15-3*x^14+4*x^13-x^12+8*x^10-2*x^7)/(x^7-x^6+x^5+x^2+x+1)/(x^9+x^6+3*x^3-1) lgdogf] A045794 8.51200 [-(x^7-x^6+x^5+x^2+x+1)/(x^9+x^6+3*x^3-1) ogf] A045797 10.7296 [(11*x^4+2*x^3+4*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045797 8.37489 [-(3+11*x+15*x^6+25*x^5+13*x^2+57*x^3+25*x^4+11*x^7)/(x-1)/(x+1)/(x^2+1)/(11*x^4+2*x^3+4*x^2+2*x+1) lgdogf] A045798 7.94497 [-(13+21*x+5*x^6+x^7+23*x^2+67*x^3+15*x^4+15*x^5)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^3+4*x^2+2*x+11) lgdogf] A045798 9.67547 [(x^4+2*x^3+4*x^2+2*x+11)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045800 10.2505 [(51*x^4+6*x^3+36*x^2+6*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045800 7.78569 [-(7+79*x+63*x^6+165*x^5+61*x^2+257*x^3+117*x^4+51*x^7)/(x-1)/(x+1)/(x^2+1)/(51*x^4+6*x^3+36*x^2+6*x+1) lgdogf] A045801 10.0940 [(23*x^4+4*x^3+34*x^2+28*x+11)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045801 7.56570 [-(39+107*x+129*x^5+173*x^4+213*x^3+23*x^7+31*x^6+85*x^2)/(x-1)/(1+x)/(23*x^4+4*x^3+34*x^2+28*x+11)/(x^2+1) lgdogf] A045802 10.1712 [(53*x^4+18*x^3+8*x^2+18*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045802 7.74808 [-(21+37*x+95*x^5+151*x^4+271*x^3+89*x^6+53*x^7+83*x^2)/(x-1)/(x+1)/(53*x^4+18*x^3+8*x^2+18*x+3)/(x^2+1) lgdogf] A045803 10.2202 [(67*x^4+2*x^3+12*x^2+2*x+17)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045803 7.78606 [-(19+43*x+105*x^5+89*x^4+369*x^3+67*x^7+71*x^6+37*x^2)/(x-1)/(1+x)/(x^2+1)/(67*x^4+2*x^3+12*x^2+2*x+17) lgdogf] A045804 10.0457 [(13*x^4+24*x^3+22*x^2+32*x+9)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045804 7.52879 [-(41+85*x+103*x^5+187*x^4+175*x^3+61*x^6+13*x^7+135*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^4+24*x^3+22*x^2+32*x+9) lgdogf] A045805 10.3495 [(x^4+6*x^3+36*x^2+6*x+51)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045805 8.10065 [-(57+129*x+115*x^5+67*x^4+307*x^3+x^7+13*x^6+111*x^2)/(x-1)/(1+x)/(x^2+1)/(x^4+6*x^3+36*x^2+6*x+51) lgdogf] A045806 10.0940 [(11*x^4+28*x^3+34*x^2+4*x+23)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045806 7.63775 [-(27+95*x+141*x^5+89*x^4+225*x^3+11*x^7+67*x^6+145*x^2)/(x-1)/(1+x)/(x^2+1)/(23+4*x+34*x^2+28*x^3+11*x^4) lgdogf] A045807 10.2202 [(3*x^4+18*x^3+8*x^2+18*x+53)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045807 7.78606 [-(71+87*x+45*x^5+101*x^4+321*x^3+3*x^7+39*x^6+133*x^2)/(x-1)/(1+x)/(3*x^4+18*x^3+8*x^2+18*x+53)/(x^2+1) lgdogf] A045808 10.2202 [(17*x^4+2*x^3+12*x^2+2*x+67)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045808 7.86239 [-(69+93*x+55*x^5+39*x^4+419*x^3+17*x^7+21*x^6+87*x^2)/(x-1)/(1+x)/(x^2+1)/(67+2*x+12*x^2+2*x^3+17*x^4) lgdogf] A045809 10.0940 [(9*x^4+32*x^3+22*x^2+24*x+13)/(x^2+1)/(x+1)/(x-1)^2 ogf] A045809 7.63775 [-(37+81*x+107*x^5+159*x^4+179*x^3+9*x^7+73*x^6+155*x^2)/(x-1)/(1+x)/(x^2+1)/(9*x^4+32*x^3+22*x^2+24*x+13) lgdogf] A045820 9.28723 [-(8*x^2-4*x+12)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A045820 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi)*Pi^2*2^(1/2)/GAMMA(3/4)^8 A045821 4.83545 [-f(x)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-3*x+1) ogf] A045821 8.22231 [-(1-2*x-5*x^2+20*x^3-5*x^4-2*x^5+x^6)/(x^3-x^2-3*x+1)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A045821 8.35214 [-(x^3-x^2-3*x+1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A045822 8.74411 [-(8*x^2-4*x+12)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A045823 99.9999 Evaluated at exp(-Pi) 3/16*exp(1/2*Pi)*Pi^2*2^(1/2)/GAMMA(3/4)^8 A045828 15.3989 [-(3*x^2+x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A045828 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi^(3/4)*2^(1/2)/GAMMA(3/4)^3 A045829 10.5405 [-4*((5*x-1)^(1/2)*(x-1)^(1/2)+1)/(5*x-1)^(1/2)/(x-1)^(1/2)/x lgdogf] A045829 3.47328 [{(-5*n^2-25*n-30)*a(n+1)+(6*n^2+39*n+63)*a(n+2)+(-n^2-8*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A045829 5.25298 [-x^5*f(x)^2+47*f(x)*x^4-84*f(x)*x^3+50*f(x)*x^2-x^3-12*f(x)*x+f(x) ogf] A045831 15.5668 [-(-3*x^2-2*x-1)/(x^3+x^2+x+1) ogf_with_Euler_transform] A045831 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/8*Pi)*Pi^(3/4)*2^(7/8)/GAMMA(3/4)^3 A045833 10.6739 [-(-2*x^5-x^2)/(x^6+x^3+1) ogf_with_Euler_transform] A045834 14.7467 [-(3*x^2-x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A045834 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(3/4)*2^(3/4)/GAMMA(3/4)^3 A045836 4.94293 [-(-3*x^6-x^5-4*x^4-2*x^3-x^2+x-2)/(x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A045855 6.37558 [(4+8*x+5*x^3+102*x^8-221*x^7+119*x^6-15*x^2+1100*x^19-2145*x^20+1045*x^21)/(x-1)/(55*x^21-55*x^20+17*x^8-17*x^7+5*x^3-3*x^2-2*x-1) lgdogf] A045855 8.53532 [-(55*x^21-55*x^20+17*x^8-17*x^7+5*x^3-3*x^2-2*x-1)/(x-1)^2 ogf] A045862 7.75330 [-(595*x^25-595*x^24+188*x^8-188*x^7+60*x^3-41*x^2-11*x-9)/(x-1)^2 ogf] A045863 7.11200 [-(632*x^26-632*x^25+200*x^9-200*x^8+63*x^4-63*x^3+26*x^2-24*x-3)/(x-1)^2 ogf] A045868 14.1889 [((x-1)^(1/2)*(5*x-1)^(1/2)-x+1)/x/(x-1)^(3/2)/(5*x-1)^(1/2) lgdogf] A045868 4.04918 [{(5*n^2+5*n)*a(n)+(-11*n^2-40*n-29)*a(n+1)+(7*n^2+43*n+64)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A045868 9.55422 [f(x)^2*x^2-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1 ogf] A045873 10.1019 [-5*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A045873 18.0610 [x/(5*x^2-2*x+1) ogf] A045873 26.5175 [-2*(5*x-1)/(5*x^2+1-2*x) lgdogf] A045873 7.35817 [{a(n+2)-2*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A045883 10.5349 [-f(x)*(4*f(x)*x^3-3*f(x)*x+f(x)-x) ogf] A045883 24.5815 [x/(x+1)/(2*x-1)^2 ogf] A045883 26.2573 [-3*(2*x+1)/(x+1)/(-1+2*x) lgdogf] A045883 8.72247 [{a(n+3)-3*a(n+2)+4*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A045886 3.35475 [-(81*x^4-81*x^3-1)/(3*x-1)/(x-1) ogf] A045889 11.5943 [-1/(2*x-1)^2/(x-1)^3 ogf] A045889 25.4439 [-(-7+10*x)/(-1+2*x)/(x-1) lgdogf] A045889 4.24366 [{(-n-3)*a(n+3)+(13+3*n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=30} ogf] A045890 12.6187 [3/2*((x-1)^(1/2)*(5*x-1)^(1/2)-x+1)/x/(x-1)^(3/2)/(5*x-1)^(1/2) lgdogf] A045890 3.82943 [{(-5*n^2-5*n)*a(n)+(11*n^2+45*n+34)*a(n+1)+(-7*n^2-49*n-82)*a(n+2)+(n^2+9*n+18)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A045890 7.02616 [x^3*f(x)^2+4*f(x)*x^3-9*f(x)*x^2-x^3+6*f(x)*x+3*x^2-f(x)-3*x+1 ogf] A045891 11.2590 [-(x-1)^3/(2*x-1)^2 ogf] A045891 32.0506 [(2*x+1)/(2*x-1)/(x-1) lgdogf] A045891 6.02454 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A045891 6.79997 [(3*f(x)+5)*(4*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A045894 10.2753 [-48+256*x+(4-48*x+128*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdogf] A045894 3.15910 [{(-16*n^2-168*n-440)*a(n+1)+(8*n^2+82*n+192)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=12,a(2)=94} ogf] A045895 10.0663 [-6*(1+2*x+x^4+2*x^3+6*x^2)/(-1+x)/(x+1)/(1+2*x^3+3*x^2+6*x) lgdogf] A045895 4.54869 [{(n^2+7*n+12)*a(n+1)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=2,a(2)=12} ogf] A045895 7.75610 [-2*x*(2*x^3+3*x^2+6*x+1)/(x-1)^3/(x+1)^3 ogf] A045896 11.1492 [-(2*x^3+3*x^2+6*x+1)/(x-1)^3/(x+1)^3 ogf] A045896 13.7614 [-6*(1+2*x+6*x^2+2*x^3+x^4)/(x-1)/(x+1)/(1+6*x+3*x^2+2*x^3) lgdogf] A045896 6.11947 [{(-n^2-9*n-20)*a(n+1)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=6,a(2)=6} ogf] A045899 13.9704 [-8*x/(x-1)/(x^2-14*x+1) ogf] A045899 18.5079 [-3*(5-10*x+x^2)/(-1+x)/(x^2-14*x+1) lgdogf] A045899 5.70965 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=120} ogf] A045899 8.31152 [f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+8*x ogf] A045902 13.4063 [2*((5*x-1)^(1/2)*(x-1)^(1/2)-x+1)/x/(x-1)^(3/2)/(5*x-1)^(1/2) lgdogf] A045902 3.90054 [{(5*n^2+5*n)*a(n)+(-11*n^2-50*n-39)*a(n+1)+(7*n^2+55*n+102)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A045902 5.80989 [f(x)^2*x^4-7*f(x)*x^4+20*f(x)*x^3+x^4-20*f(x)*x^2-4*x^3+8*f(x)*x+6*x^2-f(x)-4*x+1 ogf] A045925 10.6333 [x*(x^2+1)/(x^2+x-1)^2 ogf] A045925 21.2684 [-2*(1+3*x+x^3)/(1+x^2)/(x^2+x-1) lgdogf] A045925 3.99518 [{(-n^2-5*n-6)*a(n+1)+(-n^2-4*n-3)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A045925 6.18233 [-(125*f(x)-79)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+f(x)-x) ogf] A045926 4.24828 [2*(60*x^20+6*x^16+x^15+x^14+x^13+7*x^12+x^11+x^10+x^9+7*x^8+x^7+x^6+x^5+7*x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A045943 10.6141 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3*x ogf] A045943 100.701 [-3/(x-1) lgdogf] A045943 18.1618 [-3*x/(x-1)^3 ogf] A045943 7.36290 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=9} ogf] A045944 14.2523 [-x*(x+5)/(x-1)^3 ogf] A045944 40.0416 [-2*(x+8)/(x+5)/(x-1) lgdogf] A045944 7.06418 [(10908*f(x)-31031)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+5*x) ogf] A045944 7.25341 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=16} ogf] A045945 13.6181 [-6*x*(x+2)/(x-1)^3 ogf] A045945 38.9284 [-(2*x+7)/(x+2)/(x-1) lgdogf] A045945 6.86828 [-(27*f(x)-190)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+12*x) ogf] A045945 6.98984 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=42} ogf] A045946 12.8798 [-12*x*(x+2)/(x-1)^3 ogf] A045946 37.4421 [-(2*x+7)/(x+2)/(x-1) lgdogf] A045946 6.55094 [-(27*f(x)-380)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+24*x) ogf] A045946 6.72486 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=84} ogf] A045947 10.2829 [x^2*(x+2)/(x+1)/(x-1)^4 ogf] A045947 23.7628 [-(7+13*x+4*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A045947 4.82796 [{(n^2+6*n+9)*a(n+1)+(7+3*n)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A045949 11.8983 [-(19+59*x+2*x^4+24*x^3+64*x^2)/(x-1)/(1+x)/(x^3+7*x^2+10*x+3) lgdogf] A045949 8.09481 [2*x*(x^3+7*x^2+10*x+3)/(x+1)/(x-1)^4 ogf] A045950 10.5733 [x*(x^2+19*x+10)/(x-1)^4 ogf] A045950 20.0080 [-(59+59*x+2*x^2)/(x-1)/(x^2+19*x+10) lgdogf] A045950 3.88723 [{(-30-10*n)*a(n+4)+(41-9*n)*a(n+3)+(77+18*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=10,a(2)=59,a(3)=177} ogf] A045950 5.21706 [(241152000*f(x)+2628429289)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-19*x^2+f(x)-10*x) ogf] A045952 3.87201 [{(-256*n-384)*a(n+1)+(32*n+72)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=12,a(2)=176} ogf] A045952 6.48052 [-256*f(x)^2*x^2+32*f(x)^2*x-f(x)^2-16*f(x)*x+f(x)-4*x ogf] A045977 11.3082 [-(f(x)*x-f(x)+1)^3 egf] A045991 11.8832 [2*x^2*(x+2)/(x-1)^4 ogf] A045991 40.6210 [-3*(x+3)/(x+2)/(x-1) lgdogf] A045991 5.54015 [{(2+2*n)*a(n+3)+(-9-n)*a(n+2)+(-n-2)*a(n+1),a(0)=0,a(1)=0,a(2)=4} ogf] A045991 6.07364 [-(33*f(x)-16)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-4*x^2+f(x)) ogf] A045993 11.1659 [(x-1)/(8*x^3-18*x^2+10*x-1) ogf] A045993 11.5796 [-(-9+36*x+16*x^3-42*x^2)/(x-1)/(8*x^3-18*x^2+10*x-1) lgdogf] A045993 5.34022 [{-a(n+3)+10*a(n+2)-18*a(n+1)+8*a(n),a(0)=1,a(1)=9,a(2)=72} ogf] A045993 5.48326 [-(457*f(x)-52)*(8*f(x)*x^3-18*f(x)*x^2+10*f(x)*x-f(x)-x+1) ogf] A045994 5.0619 [f(x)^2*x^4+3*x^3*f(x)^2+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A046023 5.17027 [-x*(x+1)*(x^4+4*x^3+20*x^2+4*x+1)/(x-1)^7 ogf] A046023 8.85646 [-2*(6+39*x+96*x^2+58*x^3+10*x^4+x^5)/(x-1)/(x+1)/(x^4+4*x^3+20*x^2+4*x+1) lgdogf] A046029 2.91334 [-3*x^5+3*x^4+2 ogf_with_Euler_transform] A046037 13.9793 [-(2*x^14-2*x^13+7*x-8)/(x-1)^2 ogf] A046037 14.6400 [(9+24*x^14+26*x^12-7*x-50*x^13)/(x-1)/(2*x^14-2*x^13+7*x-8) lgdogf] A046039 14.0736 [-(2*x^15-2*x^14+x-2)/(x-1)^2 ogf] A046039 15.8107 [(3-54*x^14-x+28*x^13+26*x^15)/(x-1)/(2*x^15-2*x^14+x-2) lgdogf] A046088 11.5615 [1/5*((26*x+1)^(1/5)-(x+1)^(1/5))/(26*x+1)^(1/5) revogf] A046088 4.99956 [-(125*x^4-125*x^3+50*x^2-10*x+1)/(3250*x^5-3250*x^4+1300*x^3-260*x^2+26*x-1) ogf] A046090 11.0292 [(3*x-1)/(x-1)/(x^2-6*x+1) ogf] A046090 11.4474 [-2*(-2+7*x-12*x^2+3*x^3)/(x-1)/(3*x-1)/(1-6*x+x^2) lgdogf] A046090 5.17299 [-(7864*f(x)+1223)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)-3*x+1) ogf] A046090 5.17299 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=21} ogf] A046092 10.3004 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+4*x ogf] A046092 17.6251 [-4*x/(x-1)^3 ogf] A046092 7.08153 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=12} ogf] A046092 97.6976 [-3/(x-1) lgdogf] A046100 26.3283 [2-x^14*(x-1) ogf_with_Euler_transform] A046100 5.19134 [(x^8+1)*(x^4+1)*(x^2+1)*(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A046126 18.6734 [-3*(x-1)/(2*x^3+3*x+1)/(1+x^2) lgdegf] A046127 10.2531 [2*x*(2*x^2-2*x+1)/(x-1)^4 ogf] A046127 21.6822 [-2*(1-x+2*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A046127 3.83835 [{(-3-n)*a(n+4)+(8+3*n)*a(n+3)+(-6-4*n)*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=4,a(3)=8} ogf] A046127 6.74305 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+4*x^3+4*f(x)*x-4*x^2-f(x)+2*x ogf] A046142 12.8645 [-(33+205*x+7*x^3+139*x^2)/(x-1)/(7*x^3+59*x^2+29*x+1) lgdogf] A046142 3.80857 [{(-5470*n^2-24557*n-27234)*a(n+1)+(6092*n^2+13666*n+20883)*a(n+2)+(-622*n^2-3653*n-5361)*a(n+3),a(0)=1,a(1)=33,a(2)=185} ogf] A046142 5.32685 [(12736*f(x)+395825)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-59*x^2+f(x)-29*x-1) ogf] A046142 9.97942 [(7*x^3+59*x^2+29*x+1)/(x-1)^4 ogf] A046162 5.54278 [{(-n^2-8*n-16)*a(n+1)+(n^2+2*n+1)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=3} ogf] A046162 7.19064 [-x*(x+1)*(x^6+3*x^5+13*x^3+3*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A046162 7.28117 [-2*(2+3*x+51*x^5+18*x^4+42*x^3+x^9+6*x^8+6*x^7+36*x^6+24*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^6+3*x^5+13*x^3+3*x+1) lgdogf] A046163 6.06282 [-(7+26*x+x^10+2*x^9+3*x^8+24*x^7+57*x^6+30*x^5+21*x^2+96*x^3+111*x^4)/(x-1)/(x^2+x+1)/(x^8+x^7+x^6+4*x^5+10*x^4+4*x^3+13*x^2+7*x+1) lgdogf] A046163 7.04310 [-(x^8+x^7+x^6+4*x^5+10*x^4+4*x^3+13*x^2+7*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A046166 5.58238 [x^4/(28*x-1)/(26*x-1)/(31*x-1)/(30*x-1)/(29*x-1)/(27*x-1) ogf] A046167 3.79215 [-x^5/(61*x-1)/(59*x-1)/(58*x-1)/(57*x-1)/(63*x-1)/(62*x-1)/(60*x-1) ogf] A046172 5.00116 [(3802791*f(x)-24151)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+x^2-f(x)-18*x+1) ogf] A046172 5.25545 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=1,a(1)=81,a(2)=7921} ogf] A046172 6.88058 [-(81-196*x+x^4-36*x^3+1686*x^2)/(x-1)/(x^2-98*x+1)/(x^2-18*x+1) lgdogf] A046172 9.68973 [-(x^2-18*x+1)/(x-1)/(x^2-98*x+1) ogf] A046173 12.6940 [-1/2*(-1-98*x+((80*x+1)*(120*x+1))^(1/2))/(-1+x) revogf] A046173 13.4814 [(x+1)/(x^2-98*x+1) ogf] A046173 19.0410 [-(x+11)*(x-9)/(x+1)/(x^2-98*x+1) lgdogf] A046173 6.81476 [(9700*f(x)+101)*(f(x)*x^2-98*f(x)*x+f(x)-x-1) ogf] A046173 7.38265 [{-a(n+2)+98*a(n+1)-a(n),a(0)=1,a(1)=99} ogf] A046174 10.9593 [-6*(-2+5*x+x^3-8*x^2)/(x-1)/(3*x-1)/(x^2-14*x+1) lgdogf] A046174 4.69051 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A046174 4.69052 [-(12*f(x)+1)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-3*x^2-f(x)+x) ogf] A046174 9.06302 [x*(3*x-1)/(x-1)/(x^2-14*x+1) ogf] A046175 10.3386 [-2*(10-15*x-36*x^2+5*x^3)/(x-1)/(5*x+1)/(x^2-14*x+1) lgdogf] A046175 11.7798 [-x*(5*x+1)/(x-1)/(x^2-14*x+1) ogf] A046175 5.6968 [-(193776*f(x)-66355)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+5*x^2-f(x)+x) ogf] A046175 6.09657 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=20} ogf] A046176 10.5441 [-1/2*(-34*x-1+((24*x+1)*(1+48*x))^(1/2))/(-1+x) revogf] A046176 11.0088 [(x+1)/(x^2-34*x+1) ogf] A046176 15.9862 [-(x+7)*(x-5)/(1+x)/(x^2-34*x+1) lgdogf] A046176 5.62673 [(1188*f(x)+37)*(f(x)*x^2-34*f(x)*x+f(x)-x-1) ogf] A046176 6.02863 [{-a(n+2)+34*a(n+1)-a(n),a(0)=1,a(1)=35} ogf] A046177 4.14151 [(55372709727*f(x)-53762906)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x+x^2-f(x)+70*x+1) ogf] A046177 4.40240 [{a(n+3)-1155*a(n+2)+1155*a(n+1)-a(n),a(0)=1,a(1)=1225,a(2)=1413721} ogf] A046177 8.22213 [-(x^2+70*x+1)/(x-1)/(x^2-1154*x+1) ogf] A046178 4.46906 [-(5979860096*f(x)+101519923)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x-3*x^2-f(x)-30*x+1) ogf] A046178 5.01854 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=1,a(1)=165,a(2)=31977} ogf] A046178 9.27670 [(3*x^2+30*x-1)/(x-1)/(x^2-194*x+1) ogf] A046179 4.37329 [(10656112535040*f(x)-134479008527)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+3*x^2-f(x)-52*x+1) ogf] A046179 5.01854 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=1,a(1)=143,a(2)=27693} ogf] A046179 9.27670 [-(3*x^2-52*x+1)/(x-1)/(x^2-194*x+1) ogf] A046181 7.45273 [-(x^4+2*x^3-38*x^2+2*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A046182 5.50977 [(2*x^4+5*x^3-49*x^2-5*x-1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A046183 7.06477 [-(x^4+20*x^3+2158*x^2+20*x+1)/(x-1)/(x^2-98*x+1)/(x^2+98*x+1) ogf] A046184 10.4691 [-(x^2-6*x+1)/(x-1)/(x^2-14*x+1) ogf] A046184 5.58944 [(11703*f(x)-52)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)-6*x+1) ogf] A046184 5.68582 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=121} ogf] A046187 6.51914 [(5*x^2+18*x+1)*(x^2+8*x-1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A046188 6.44417 [-(4*x^4+41*x^3-437*x^2+7*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A046189 4.69134 [-(40*x^4+5945*x^3+243535*x^2+175*x+1)/(x-1)/(x^2-1154*x+1)/(x^2+1154*x+1) ogf] A046190 11.2636 [-(3*x^2-36*x+1)/(x-1)/(x^2-98*x+1) ogf] A046190 5.46116 [(13002265040*f(x)-296381399)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+3*x^2-f(x)-36*x+1) ogf] A046190 6.10909 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=1,a(1)=63,a(2)=6141} ogf] A046190 6.56783 [-3*(21-64*x+x^4-24*x^3+1090*x^2)/(x-1)/(3*x^2-36*x+1)/(x^2-98*x+1) lgdogf] A046191 3.26277 [-(12341979120*f(x)+430371629)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-3*x^2-f(x)-22*x+1) ogf] A046191 3.76047 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=1,a(1)=77,a(2)=7521} ogf] A046191 6.37466 [-(-77+204*x+3*x^4+44*x^3-2478*x^2)/(x-1)/(3*x^2+22*x-1)/(x^2-98*x+1) lgdogf] A046191 6.93338 [(3*x^2+22*x-1)/(x-1)/(x^2-98*x+1) ogf] A046192 4.51082 [(82591228701319094960*f(x)-184513964134211213)*(f(x)*x^3-9603*f(x)*x^2+9603*f(x)*x+21*x^2-f(x)+2178*x+1) ogf] A046192 5.44768 [{a(n+3)-9603*a(n+2)+9603*a(n+1)-a(n),a(0)=1,a(1)=11781,a(2)=113123361} ogf] A046192 9.97463 [-(21*x^2+2178*x+1)/(x-1)/(x^2-9602*x+1) ogf] A046193 7.10829 [-(x^4+4*x^3-106*x^2+4*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A046194 6.00447 [-(x^4+54*x^3+18034*x^2+54*x+1)/(x-1)/(x^2-322*x+1)/(x^2+322*x+1) ogf] A046195 5.73971 [-(x^6+5*x^5+43*x^4-530*x^3+43*x^2+5*x+1)/(x-1)/(x^6-1442*x^3+1) ogf] A046196 8.04667 [(x+1)*(x^4+8*x^3+69*x^2+8*x+1)/(x^6-1442*x^3+1) ogf] A046198 10.3539 [-(2*x^2-21*x+1)/(x-1)/(x^2-62*x+1) ogf] A046198 4.94514 [(131967266016*f(x)-2743908071)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x+2*x^2-f(x)-21*x+1) ogf] A046198 5.61567 [{-a(n+3)+63*a(n+2)-63*a(n+1)+a(n),a(0)=1,a(1)=42,a(2)=2585} ogf] A046198 7.34877 [-2*(21-61*x-21*x^3+x^4+600*x^2)/(x-1)/(x^2-62*x+1)/(2*x^2-21*x+1) lgdogf] A046199 10.6503 [(2*x^2+9*x-1)/(x-1)/(x^2-62*x+1) ogf] A046199 4.93358 [-(67883723040*f(x)+2470305557)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x-2*x^2-f(x)-9*x+1) ogf] A046199 5.68616 [{a(n+3)-63*a(n+2)+63*a(n+1)-a(n),a(0)=1,a(1)=54,a(2)=3337} ogf] A046199 7.54606 [-2*(-27+65*x+9*x^3+x^4-348*x^2)/(x-1)/(x^2-62*x+1)/(2*x^2+9*x-1) lgdogf] A046224 8.06428 [-4*f(x)^2*x+12*f(x)*x^2-9*x^3+f(x)^2-3*f(x)*x+3*x-1 ogf] A046231 3.43802 [-(27*f(x)+20)*(4*f(x)*x^2+4*x^3-5*f(x)*x+f(x)-x) ogf] A046231 6.66555 [-x*(2*x-1)*(2*x+1)/(4*x-1)/(x-1) ogf] A046231 6.91175 [-(5-16*x+20*x^2)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1) lgdogf] A046232 4.65980 [-x*(28672*x^4-30080*x^3+4284*x^2-40*x-1)/(x-1)/(4*x-1)/(64*x-1)/(16*x-1) ogf] A046233 12.6699 [-x*(5*x^2-1)/(5*x-1)/(x-1) ogf] A046233 14.5576 [-2*(3-10*x+15*x^2)/(x-1)/(5*x-1)/(5*x^2-1) lgdogf] A046233 5.44585 [{a(n+4)-6*a(n+3)+5*a(n+2),a(0)=0,a(1)=1,a(2)=6,a(3)=26} ogf] A046233 6.67557 [-(8*f(x)+3)*(5*f(x)*x^2+5*x^3-6*f(x)*x+f(x)-x) ogf] A046234 3.52955 [-x*(109375*x^4-109500*x^3+12090*x^2-60*x-1)/(x-1)/(125*x-1)/(25*x-1)/(5*x-1) ogf] A046236 3.20702 [-x*(326592*x^4-317520*x^3+28638*x^2-84*x-1)/(x-1)/(6*x-1)/(36*x-1)/(216*x-1) ogf] A046237 4.56583 [-x*(112*x^10+56*x^9+28*x^8-86*x^7-43*x^6-18*x^5-4*x^2-2*x-1)/(x-1)/(x^2+x+1)/(7*x^3-1) ogf] A046239 3.27343 [-x*(512*x^7+64*x^6+8*x^5-136*x^4-16*x^3+6*x^2+2*x+1)/(x-1)/(2*x-1)/(4*x-1)/(4*x^2+2*x+1)/(16*x^2+4*x+1) ogf] A046630 10.6485 [-(2-2*x-x^2+4*x^5-x^4+4*x^6)/(x-1)/(2*x-1)/(x^2+x+1)/(2*x^3+x^2-1) lgdogf] A046630 11.0275 [-(2*x^3+x^2-1)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A046630 6.0234 [-(7*f(x)+6)*(2*f(x)*x^4-f(x)*x^3+2*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A046631 5.1007 [-(6646*f(x)-13899)*(3*f(x)*x^4-f(x)*x^3+3*x^3-3*f(x)*x+6*x^2+f(x)-1) ogf] A046631 7.77167 [-3*(1-4*x+2*x^3+4*x^2+12*x^5-2*x^4+3*x^6)/(x-1)/(3*x-1)/(x^2+x+1)/(3*x^3+6*x^2-1) lgdogf] A046631 9.88752 [-(3*x^3+6*x^2-1)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A046632 4.85199 [-(74799*f(x)+18244)*(4*f(x)*x^4-f(x)*x^3+4*x^3-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A046632 7.59631 [-(3-4*x+14*x^3-x^2+16*x^5+10*x^4+16*x^6)/(x-1)/(4*x-1)/(x^2+x+1)/(4*x^3+2*x^2+x-1) lgdogf] A046632 9.21174 [-(4*x^3+2*x^2+x-1)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A046633 4.73316 [-(54436*f(x)+131505)*(5*f(x)*x^4-f(x)*x^3+5*x^3-5*f(x)*x+4*x^2+f(x)-1) ogf] A046633 7.32691 [-(5-8*x+30*x^3+8*x^2+40*x^5-4*x^4+25*x^6)/(x-1)/(5*x-1)/(x^2+x+1)/(5*x^3+4*x^2-1) lgdogf] A046633 9.32068 [-(5*x^3+4*x^2-1)/(5*x-1)/(x-1)/(x^2+x+1) ogf] A046634 3.57486 [-(1296*x^9+2808*x^8-690*x^6-795*x^5+55*x^3+27*x^2-1)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1)/(x^2+x+1)/(4*x^2+2*x+1)/(9*x^2+3*x+1) ogf] A046635 4.74379 [(519674*f(x)+231385)*(7*f(x)*x^4-f(x)*x^3+7*x^3-7*f(x)*x+6*x^2+f(x)+4*x-1) ogf] A046635 6.81557 [-(3-12*x+62*x^3+24*x^2+84*x^5+78*x^4+49*x^6)/(x-1)/(7*x-1)/(x^2+x+1)/(7*x^3+6*x^2+4*x-1) lgdogf] A046635 8.86883 [-(7*x^3+6*x^2+4*x-1)/(x-1)/(7*x-1)/(x^2+x+1) ogf] A046636 13.3809 [-(4*x-1)/(8*x-1)/(x-1) ogf] A046636 14.0514 [-1/8*(-1-9*x+(1+2*x+49*x^2)^(1/2))/(2*x+1) revogf] A046636 15.5305 [-(5-16*x+32*x^2)/(x-1)/(8*x-1)/(4*x-1) lgdogf] A046636 6.40577 [-(1169*f(x)-544)*(8*f(x)*x^2-9*f(x)*x+f(x)+4*x-1) ogf] A046636 7.34320 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=1,a(1)=5} ogf] A046637 4.51595 [(12482792*f(x)+66541575)*(9*f(x)*x^4-f(x)*x^3+21*x^3-9*f(x)*x+6*x^2+f(x)+6*x-1) ogf] A046637 6.59061 [-3*(1-4*x+110*x^3-2*x^2+36*x^5+52*x^4+63*x^6)/(x-1)/(9*x-1)/(x^2+x+1)/(21*x^3+6*x^2+6*x-1) lgdogf] A046637 8.64481 [-(21*x^3+6*x^2+6*x-1)/(x-1)/(9*x-1)/(x^2+x+1) ogf] A046638 4.32836 [-(10000*x^9+9000*x^8-5130*x^6-2357*x^5+259*x^3+37*x^2-1)/(x-1)/(2*x-1)/(5*x-1)/(10*x-1)/(x^2+x+1)/(4*x^2+2*x+1)/(25*x^2+5*x+1) ogf] A046639 3.82541 [-(x^17-3*x^16-4*x^15-x^14+2*x^13+4*x^12+4*x^11-x^10-5*x^9-x^8+x^5+x^3-2*x-1)/(x-1)/(x+1)/(x^3+x^2-1)/(x^5-x^2+1)/(x^2+1) ogf] A046646 5.16070 [{(27*n^2+27*n+6)*a(n)+(-4*n^2-10*n-6)*a(n+1),a(0)=1,a(1)=2} ogf] A046646 7.32692 [-f(x)^3*x-3*f(x)^2*x-3*f(x)*x+4*f(x)-x-4 ogf] A046647 4.31686 [f(x)^3*x^2-9*f(x)^2*x^2-16*f(x)^2*x+27*f(x)*x^2-244*f(x)*x-27*x^2+64*f(x)-124*x-64 ogf] A046648 19.3796 [x*(x-1)^2 revogf] A046648 3.13011 [-1+f(x)-2*f(x)^2*x+f(x)^3*x^2 ogf] A046649 8.94328 [-2-15/4*x-x^2-1/16*x^3+1/16*((x^2+12*x+4)*(x+8)^2*(x+2)^2)^(1/2) revogf] A046649 9.23505 [f(x)^3*x^3+16*f(x)^2*x^2+60*f(x)*x-16*f(x)+8*x+32 ogf] A046662 3.36284 [{(-n^2-5*n-6)*a(n+1)+(2*n^2+13*n+21)*a(n+2)+(-n^2-8*n-17)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=52} ogf] A046672 17.3925 [1/(2*x^3-3*x^2-2*x+1) ogf] A046672 18.4148 [-2*(-1-3*x+3*x^2)/(-3*x^2+1-2*x+2*x^3) lgdogf] A046672 6.36688 [{a(n+3)-2*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A046672 7.06031 [(97*f(x)+20)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A046673 3.08243 [{(-16*n^4-192*n^3-860*n^2-1704*n-1260)*a(n+1)+(8*n^3+72*n^2+210*n+196)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=2,a(1)=36,a(2)=660} egf] A046674 3.02004 [{(-16*n^4-192*n^3-860*n^2-1704*n-1260)*a(n+1)+(8*n^3+72*n^2+210*n+196)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=18,a(2)=330} egf] A046691 12.5056 [(3*x^2-5*x+1)/(x-1)^3 ogf] A046691 21.4602 [-(-2-4*x+3*x^2)/(x-1)/(3*x^2-5*x+1) lgdogf] A046691 6.69162 [(11*f(x)-129)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+5*x-1) ogf] A046691 6.81111 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=2,a(2)=6} ogf] A046698 10.0289 [{-a(n+4)+a(n+3),a(0)=0,a(1)=1,a(2)=1,a(3)=2} ogf] A046698 14.2201 [-f(x)*(x^3+f(x)*x-f(x)+x) ogf] A046698 23.2377 [-x*(x^2+1)/(x-1) ogf] A046698 32.7833 [[-x^3+x+1] ogf_with_Euler_transform] A046698 36.1103 [(-1-2*x+x^2)/(x-1)/(1+x^2) lgdogf] A046714 12.2457 [1/50/x^2*(-1-5*x+10*x^2+(1+10*x+5*x^2)^(1/2)) revogf] A046714 3.65738 [{(20*n+50)*a(n+1)+(-9*n-30)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=6,a(2)=32} ogf] A046714 5.80656 [25*x^3*f(x)^2-10*f(x)^2*x^2+f(x)^2*x+5*f(x)*x-f(x)+1 ogf] A046715 4.62976 [{(-16*n^3-96*n^2-188*n-120)*a(n+1)+(n^3+8*n^2+19*n+12)*a(n+2),a(0)=0,a(1)=1} ogf] A046717 14.9411 [(x-1)/(x+1)/(3*x-1) ogf] A046717 18.8334 [-(-1-6*x+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A046717 8.19940 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A046717 9.01816 [(28*f(x)-27)*(3*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A046718 4.20912 [{(32*n^2+156*n+184)*a(n+1)+(-26*n^2-74*n+28)*a(n+2)+(5*n^2+7*n-24)*a(n+3),a(0)=1,a(1)=4,a(2)=14} ogf] A046718 5.23296 [(31968*f(x)-23969)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+x^3-8*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A046718 9.68099 [-(x^3-6*x^2+4*x-1)/(2*x-1)^4 ogf] A046727 10.9019 [-x*(x^2-6*x-3)/(x+1)/(x^2-6*x+1) ogf] A046727 5.28822 [{a(n+4)-5*a(n+3)-5*a(n+2)+a(n+1),a(0)=0,a(1)=3,a(2)=21,a(3)=119} ogf] A046727 5.85638 [(1316*f(x)+1629)*(f(x)*x^3-5*f(x)*x^2+x^3-5*f(x)*x-6*x^2+f(x)-3*x) ogf] A046727 9.86844 [-(21+28*x-12*x^3+26*x^2+x^4)/(x+1)/(x^2-6*x+1)/(x^2-6*x-3) lgdogf] A046729 12.9223 [4*x/(x+1)/(x^2-6*x+1) ogf] A046729 16.8344 [-(-5-10*x+3*x^2)/(x+1)/(x^2-6*x+1) lgdogf] A046729 5.19199 [{-a(n+3)+5*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=20} ogf] A046729 5.53813 [-(87*f(x)+20)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+f(x)-4*x) ogf] A046736 35.6225 [x*(-1+x+x^2)/(-1+x) revogf] A046736 8.92115 [-f(x)^3*x^2-f(x)^2*x+f(x)*x+f(x)-1 ogf] A046748 10.3632 [-25*f(x)^2*x^2+10*f(x)^2*x-f(x)^2-4*x+1 ogf] A046748 27.0134 [-(-3+10*x)/(5*x-1)/(4*x-1) lgdogf] A046748 4.64325 [{(n+3)*a(n+3)+(-21-9*n)*a(n+2)+(30+20*n)*a(n+1),a(0)=1,a(1)=3,a(2)=13} ogf] A046814 4.48081 [-25*x^3*f(x)^2+10*f(x)^2*x^2-f(x)^2*x+20*f(x)*x^2-9*f(x)*x-16*x^2+f(x)+8*x-1 ogf] A046877 12.8673 [-(3*x^2+2*x+3)/(x^3+x^2-1) ogf] A046877 14.0861 [-(x+1)*(3*x^3+x^2+10*x+2)/(3*x^2+2*x+3)/(x^3+x^2-1) lgdogf] A046877 7.63994 [(81*f(x)+407)*(f(x)*x^3+f(x)*x^2+3*x^2-f(x)+2*x+3) ogf] A046877 7.80249 [{-a(n+3)+a(n+1)+a(n),a(0)=3,a(1)=2,a(2)=6} ogf] A046885 11.6841 [-1/2*(-1-9*x-10*x^2+(1+2*x+5*x^2)^(1/2))/(2+5*x)^2 revogf] A046885 4.97143 [-25*x^3*f(x)^2+10*f(x)^2*x^2-f(x)^2*x-20*f(x)*x^2+9*f(x)*x-f(x)-4*x+1 ogf] A046895 10.6713 [-(x^3+5*x^2-3*x+9)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A046905 2.01236 [(f(x)-x-1)^2 ogf] A046914 3.96367 [(639420336*f(x)-95154161)*(100*f(x)*x^4-180*f(x)*x^3+97*f(x)*x^2-10*x^3-18*f(x)*x+27*x^2+f(x)-8*x) ogf] A046914 6.21938 [-(-117+1532*x+2000*x^5+12920*x^3-6759*x^2-9900*x^4)/(x-1)/(2*x-1)/(5*x-1)/(10*x-1)/(10*x^2-27*x+8) lgdogf] A046914 7.63373 [x*(10*x^2-27*x+8)/(x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A046915 4.4271 [(444042*f(x)-33049)*(100*f(x)*x^4-180*f(x)*x^3+97*f(x)*x^2-18*f(x)*x+10*x^2+f(x)-1) ogf] A046915 7.03958 [-2*(9-107*x+1000*x^5-200*x^3+360*x^2-900*x^4)/(x-1)/(2*x-1)/(5*x-1)/(10*x-1)/(10*x^2-1) lgdogf] A046915 8.66974 [-(10*x^2-1)/(x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A046916 6.90818 [-(10*x^4-6*x^3+x^2-2*x+1)/(2*x-1)^2/(x-1)^3 ogf] A046916 8.87329 [-(-5+16*x+20*x^5-46*x^3+x^2+26*x^4)/(2*x-1)/(x-1)/(10*x^4-6*x^3+x^2-2*x+1) lgdogf] A046957 10.5094 [(-5-7*x+594*x^3-2046*x^2+44*x^4)/(x-1)/(22*x^4+682*x^3+2*x^2+3*x+1) lgdogf] A046957 9.98018 [(22*x^4+682*x^3+2*x^2+3*x+1)/(x-1)^2 ogf] A046959 6.29654 [(-2-10*x+2280*x^5-3003*x^6-1571*x^7+2262*x^8-52*x^3-1324*x^4)/(x-1)/(377*x^8+289*x^7-245*x^6+270*x^5+13*x^4+5*x^2+1) lgdogf] A046959 7.56597 [x*(377*x^8+289*x^7-245*x^6+270*x^5+13*x^4+5*x^2+1)/(x-1)^2 ogf] A046960 5.63498 [(-2-6*x-6660*x^9+5328*x^10+99*x^5-339*x^6+205*x^7-10*x^3-6*x^2-29*x^4)/(x-1)/(666*x^10+41*x^7-13*x^6+7*x^5+3*x^4+2*x^3+3*x^2+1) lgdogf] A046960 7.16076 [(666*x^10+41*x^7-13*x^6+7*x^5+3*x^4+2*x^3+3*x^2+1)/(x-1)^2 ogf] A046961 6.71653 [(688*x^9-22*x^8+41*x^6-38*x^5+38*x^4-13*x^3+7*x^2+8*x+1)/(x-1)^2 ogf] A046962 7.13749 [(333*x^16+19*x^10-16*x^9+16*x^8+2*x^4-2*x^3+2*x^2+1)/(x-1)^2 ogf] A046963 7.59463 [(-4-40*x-3663*x^10+2997*x^11-95*x^3+57*x^2+38*x^4)/(x-1)/(333*x^11+19*x^4-19*x^3+19*x^2+2*x+1) lgdogf] A046963 8.78128 [(333*x^11+19*x^4-19*x^3+19*x^2+2*x+1)/(x-1)^2 ogf] A046964 8.84698 [(377*x^6+327*x^5+5*x^4-x^2+x+1)/(x-1)^2 ogf] A046964 9.00070 [(-3+x-1281*x^5+1508*x^6-20*x^3-1625*x^4)/(x-1)/(377*x^6+327*x^5+5*x^4-x^2+x+1) lgdogf] A046978 10.9574 [(f(x)+1)*(f(x)*x^4-x^3-x^2+f(x)-x) ogf] A046978 16.3328 [x*(x^2+x+1)/(x^4+1) ogf] A046978 23.3475 [x^7-x^3-x^2+1 ogf_with_Euler_transform] A046978 25.6485 [-(-1-2*x+2*x^5+4*x^3+3*x^4)/(x^2+x+1)/(1+x^4) lgdogf] A046980 10.5973 [-f(x)*(f(x)*x^4+x^3+f(x)-x-1) ogf] A046980 15.3553 [-(x^3-x-1)/(x^4+1) ogf] A046980 22.6630 [-(x^4-2*x^3-2*x+1)*(x+1)^2/(x^3-x-1)/(1+x^4) lgdogf] A046980 8.64841 [{a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=0,a(3)=-1} ogf] A046984 10.4621 [-4*(1-11*x+12*x^3+30*x^2)/(6*x-1)/(4*x^3+22*x^2-10*x+1) lgdogf] A046984 10.6835 [-(6*x-1)/(4*x^3+22*x^2-10*x+1) ogf] A046984 5.10950 [{a(n+3)-10*a(n+2)+22*a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=18} ogf] A046984 6.67744 [(653*f(x)-58)*(4*f(x)*x^3+22*f(x)*x^2-10*f(x)*x+f(x)+6*x-1) ogf] A046994 10.6497 [-(x^3-x-1)/(2*x-1)/(2*x^2-1) ogf] A046994 11.5641 [-(3+4*x-4*x^3-13*x^2+2*x^4)/(2*x-1)/(2*x^2-1)/(x^3-x-1) lgdogf] A046994 4.88443 [{a(n+4)-2*a(n+3)-2*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=17} ogf] A046994 5.50533 [-(18*f(x)+307)*(4*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x+f(x)-x-1) ogf] A046995 3.95339 [-(x-1)*(x^7-x^6-2*x^5+3*x^4-2*x^3-4*x^2-2*x-1)/(x^4-2*x^3+2*x^2+2*x-1)/(x^4-x^3-3*x^2-x+1) ogf] A046998 12.2461 [-(1+18*x+39*x^2+2*x^4)/(x-1)/(2*x^4-4*x^3+17*x^2-4*x+1) lgdogf] A046998 7.16292 [-(2*x^4-4*x^3+17*x^2-4*x+1)/(x-1)^5 ogf] A047009 10.2115 [-8*x-9+15*f(x)-7*f(x)^2+f(x)^3 ogf] A047009 5.24626 [{(27*n^2-3)*a(n)+(-4*n^2-6*n-2)*a(n+1),a(0)=1,a(1)=2} ogf] A047053 13.8206 [-4*f(x)*x+f(x)-1 egf] A047053 26.9830 [-1/(4*x-1) egf] A047053 55.5309 [-4/(4*x-1) lgdegf] A047053 6.43911 [{(-4*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A047054 15.4274 [-5/(5*x-1) lgdegf] A047054 3.9874 [-5*f(x)*x+f(x)-1 egf] A047055 13.2891 [-1/5*(1-3*x)^(2/3)+3/5*(1-3*x)^(2/3)*x+1/5 revegf] A047055 37.2095 [-2+(1-5*x)*f(x) lgdegf] A047055 6.47131 [{(-5*n-7)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A047056 32.7166 [-3+(1-5*x)*f(x) lgdegf] A047056 5.70272 [{(-5*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A047056 7.66794 [-1/5*(1-2*x)^(1/2)+4/5*(1-2*x)^(1/2)*x-4/5*(1-2*x)^(1/2)*x^2+1/5 revegf] A047058 13.322 [-6*f(x)*x+f(x)-1 egf] A047058 26.0095 [-1/(6*x-1) egf] A047058 53.5110 [-6/(6*x-1) lgdegf] A047058 6.13708 [{(-6*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A047073 3.56145 [{(4*n^2-4*n)*a(n)+(4*n^2+14*n)*a(n+1)+(-n^2+n+6)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A047073 7.69732 [-2*f(x)^2*x-8*x^3+f(x)^2+4*f(x)*x-4*x^2-2*f(x)-2*x+1 ogf] A047074 8.57466 [2*f(x)^2*x+8*x^3-f(x)^2-6*f(x)*x+3*f(x)+3*x-2 ogf] A047081 4.41283 [{a(n+5)-a(n+4)-3*a(n+3)+3*a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=6,a(4)=11} ogf] A047081 8.51531 [-(222*f(x)+157)*(f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A047081 9.27335 [(x+1)*(2*x^3-2*x^2+1)/(x-1)/(3*x^2-1) ogf] A047081 9.34142 [2*(1+x-6*x^5+3*x^6+x^3-2*x^2)/(x-1)/(x+1)/(3*x^2-1)/(2*x^3-2*x^2+1) lgdogf] A047084 7.03810 [(x^2+x+1)*(x^5-x^2+1)/(x-1)/(x^3+x-1)/(x+1)^2 ogf] A047084 7.62259 [(1+3*x-x^9+x^10+x^11-3*x^5-8*x^7-x^8-x^3-x^2+3*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^3+x-1)/(x^5-x^2+1) lgdogf] A047085 9.3492 [-x^3*f(x)^2-f(x)^2*x^2-3*f(x)^2*x+f(x)^2+x-1 ogf] A047086 4.96564 [f(x)^2*x^4+x^3*f(x)^2-f(x)*x^4+3*f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2+4*f(x)*x-f(x)-x+1 ogf] A047098 10.8238 [-8*f(x)^3*x+f(x)^3+f(x)^2-f(x)-1 ogf] A047099 36.6357 [x*(x+1)^2/(2*x+1)^3 revogf] A047099 6.21598 [8*f(x)^3*x^3-f(x)^3*x^2+12*f(x)^2*x^2-2*f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A047201 11.3109 [(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047201 29.9308 [-x^4+x^3+2 ogf_with_Euler_transform] A047201 8.08610 [-(2+4*x+5*x^5+3*x^6+x^7+12*x^3+6*x^2+7*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A047202 11.9182 [(x^3+x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047202 13.2075 [-(3+5*x+x^5+5*x^3+13*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+x+2) lgdogf] A047202 4.95395 [{(5*n+19)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-14)*a(n+4),a(0)=2,a(1)=3,a(2)=4,a(3)=7} ogf] A047202 6.74061 [(55*f(x)+421)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-2) ogf] A047203 12.1270 [-(3+5*x+4*x^5+2*x^6+13*x^3+7*x^2+6*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+x+2) lgdogf] A047203 12.3028 [x*(x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047204 13.3570 [(x^2+x+3)/(x+1)/(x-1)^2 ogf] A047204 19.4731 [-(4+12*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+3) lgdogf] A047204 7.27477 [(5*f(x)+41)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-3) ogf] A047204 7.27477 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=8} ogf] A047205 12.5874 [x*(x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047205 15.4934 [-2*(2+3*x+2*x^3+7*x^2+x^4)/(x-1)/(x^2+x+1)/(x^2+x+3) lgdogf] A047205 4.95867 [{(-5*n-17)*a(n+1)-5*a(n+2)-5*a(n+3)+(5*n+12)*a(n+4),a(0)=0,a(1)=3,a(2)=4,a(3)=5} ogf] A047205 6.76182 [-(5*f(x)-161)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-3*x) ogf] A047206 11.9182 [(x^3+x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047206 12.7882 [-(3+5*x+x^5+8*x^3+10*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+2*x+1) lgdogf] A047206 4.95395 [{(-5*n-18)*a(n+1)-5*a(n+2)-5*a(n+3)+(5*n+13)*a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=6} ogf] A047206 6.91054 [(5*f(x)+4)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A047207 10.9707 [-(3+5*x+4*x^5+2*x^6+9*x^3+7*x^2+10*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+2*x+1) lgdogf] A047207 11.4447 [x*(x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047208 14.2224 [x*(x+4)/(x+1)/(x-1)^2 ogf] A047208 24.1938 [-(5+13*x+2*x^2)/(x-1)/(x+4)/(x+1) lgdogf] A047208 7.23822 [(305*f(x)+1529)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-4*x) ogf] A047208 7.30341 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=5} ogf] A047209 14.0052 [(x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A047209 19.9478 [-(4+8*x+x^3+7*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A047209 7.62782 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=6} ogf] A047209 7.69655 [(f(x)-1)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-3*x-1) ogf] A047211 17.9925 [(x^2+2*x+2)/(x+1)/(x-1)^2 ogf] A047211 25.1238 [-(4+10*x+x^3+5*x^2)/(x-1)/(x+1)/(x^2+2*x+2) lgdogf] A047211 9.30116 [-(95*f(x)-489)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2*x-2) ogf] A047211 9.79946 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=7} ogf] A047212 12.5874 [x*(x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047212 14.6483 [-(4+6*x+7*x^3+11*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A047212 4.95867 [{(5*n+16)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-11)*a(n+4),a(0)=0,a(1)=2,a(2)=4,a(3)=5} ogf] A047212 6.99299 [(15*f(x)+43)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-2*x) ogf] A047215 15.6140 [x*(3*x+2)/(x+1)/(x-1)^2 ogf] A047215 25.8095 [-(5+9*x+6*x^2)/(x-1)/(3*x+2)/(x+1) lgdogf] A047215 7.73914 [-(115*f(x)-187)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-2*x) ogf] A047215 8.01802 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A047216 13.3570 [(3*x^2+x+1)/(x+1)/(x-1)^2 ogf] A047216 17.7421 [-(2+10*x+3*x^3+5*x^2)/(x-1)/(x+1)/(3*x^2+x+1) lgdogf] A047216 7.14715 [(65*f(x)+463)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-x-1) ogf] A047216 7.27477 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A047217 13.5024 [x*(3*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047217 15.4464 [-2*(1+4*x+3*x^3+4*x^2+3*x^4)/(x-1)/(x^2+x+1)/(3*x^2+x+1) lgdogf] A047217 5.35157 [{(5*n+13)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-8)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A047217 7.43778 [(70*f(x)+421)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-x) ogf] A047218 14.2224 [x*(2*x+3)/(x+1)/(x-1)^2 ogf] A047218 22.8113 [-(5+11*x+4*x^2)/(x-1)/(2*x+3)/(x+1) lgdogf] A047218 7.30341 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=5} ogf] A047218 7.87068 [-f(x)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-3*x) ogf] A047219 13.3570 [(2*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A047219 17.3564 [-(3+9*x+2*x^3+6*x^2)/(x-1)/(x+1)/(2*x^2+2*x+1) lgdogf] A047219 6.84685 [-(55*f(x)-1171)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x-1) ogf] A047219 7.27477 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A047220 12.5874 [x*(2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047220 14.3867 [-(x+1)*(4*x^3+4*x^2+4*x+3)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A047220 4.98890 [{(5*n+14)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-9)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=5} ogf] A047220 6.87546 [(170*f(x)-321)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A047221 14.0052 [(2*x^2+x+2)/(x+1)/(x-1)^2 ogf] A047221 18.6179 [-(3+11*x+2*x^3+4*x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A047221 7.3648 [-(7*f(x)+51)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x-2) ogf] A047221 7.62782 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=7} ogf] A047222 12.5874 [x*(2*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047222 14.6483 [-(3+7*x+5*x^3+11*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+x+2) lgdogf] A047222 5.01951 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=2,a(2)=3,a(3)=5} ogf] A047222 7.11461 [(f(x)+1)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-2*x) ogf] A047223 10.1263 [-2*(1+2*x+x^5+3*x^3+6*x^2+2*x^4)/(x-1)/(x^2+x+1)/(2*x^3+x^2+x+1) lgdogf] A047223 11.9182 [(2*x^3+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047223 4.95395 [{(5*n+16)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-11)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A047223 6.63189 [(180*f(x)+1171)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A047225 11.5885 [x*(5*x+1)/(x+1)/(x-1)^2 ogf] A047225 18.0209 [-2*(3+4*x+5*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A047225 5.89774 [(492*f(x)+4147)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-x) ogf] A047225 5.95087 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A047226 10.0705 [x*(2*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047226 7.07534 [-(x+1)*(4*x^7+x^6+6*x^5+3*x^4+8*x^3+4*x^2+2*x+2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+x^2+x+1) lgdogf] A047227 10.5557 [(2*x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047227 9.47659 [-2*(1+2*x+3*x^5+2*x^6+x^7+8*x^3+3*x^2+4*x^4)/(x-1)/(x+1)/(1+x^2)/(2*x^4+x^3+x^2+x+1) lgdogf] A047228 12.0091 [(x+1)*(2*x^2-x+2)/(x^2+x+1)/(x-1)^2 ogf] A047228 5.05260 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=2,a(1)=3,a(2)=4,a(3)=8} ogf] A047228 6.5764 [-(72*f(x)+563)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-x-2) ogf] A047228 9.80899 [-(3+5*x+2*x^5+6*x^3+16*x^2+4*x^4)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2-x+2) lgdogf] A047229 13.1803 [-(3-x-3*x^3+9*x^2+4*x^4)/(x-1)/(1+x^2)/(2*x^2-x+2) lgdogf] A047229 4.89888 [-(2*f(x)+3)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-2*x) ogf] A047229 9.19378 [x*(2*x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A047230 10.7100 [(2*x^2+x+3)/(x+1)/(x-1)^2 ogf] A047230 14.4923 [-2*(2+7*x+x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+x+3) lgdogf] A047230 5.39924 [-(1068*f(x)+8809)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x-3) ogf] A047230 5.83310 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=9} ogf] A047231 11.9491 [-(4+8*x+5*x^3+15*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+x+3) lgdogf] A047231 12.6844 [x*(2*x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047231 4.99687 [{(6*n+19)*a(n+1)+6*a(n+2)+6*a(n+3)+(-6*n-13)*a(n+4),a(0)=0,a(1)=3,a(2)=4,a(3)=6} ogf] A047231 6.64906 [-(576*f(x)+1417)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-3*x) ogf] A047233 11.3929 [2*x*(x+2)/(x+1)/(x-1)^2 ogf] A047233 19.9269 [-(x+3)*(2*x+1)/(x-1)/(x+2)/(x+1) lgdogf] A047233 5.85041 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=6} ogf] A047233 9.11017 [(3*f(x)-34)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-4*x) ogf] A047234 12.6844 [x*(x+1)*(2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047234 14.5010 [-(x+2)*(4*x^3+3*x^2+3*x+2)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A047234 4.99687 [{(-6*n-17)*a(n+1)-6*a(n+2)-6*a(n+3)+(6*n+11)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=6} ogf] A047234 6.8707 [(504*f(x)+5111)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-x) ogf] A047235 16.8670 [2*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A047235 25.2988 [-(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A047235 41.0136 [-x^2+x+2 ogf_with_Euler_transform] A047235 9.1865 [(5*f(x)+86)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x-2) ogf] A047235 9.18652 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A047236 10.9534 [-(x^2+2)*(2*x^3+6*x^2+3*x+1)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+1) lgdogf] A047236 12.0091 [(x+1)*(2*x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A047236 6.68247 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A047236 6.68248 [(720*f(x)-5581)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A047237 12.4400 [x*(2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A047237 14.9777 [-2*(1+x+2*x^2+2*x^4)/(x-1)/(2*x^2+1)/(1+x^2) lgdogf] A047237 6.41749 [(10*f(x)+9)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+f(x)-x) ogf] A047238 12.9359 [2*x*(2*x+1)/(x+1)/(x-1)^2 ogf] A047238 19.0809 [-(3+5*x+4*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A047238 6.64278 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=6} ogf] A047238 8.6747 [f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-2*x ogf] A047239 10.8931 [(4*x^2+x+1)/(x+1)/(x-1)^2 ogf] A047239 14.1033 [-2*(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(4*x^2+x+1) lgdogf] A047239 5.63117 [-(76*f(x)+573)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-x-1) ogf] A047239 5.93285 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A047240 12.5569 [x*(4*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047240 14.6139 [-(2+10*x+7*x^3+9*x^2+8*x^4)/(x-1)/(x^2+x+1)/(4*x^2+x+1) lgdogf] A047240 5.00734 [{(2*n+5)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-3)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A047240 6.91693 [(48*f(x)+325)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-x^2+f(x)-x) ogf] A047241 14.4111 [(3*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A047241 18.3202 [-(3*x+1)*(2*x+3+x^2)/(x-1)/(x+1)/(3*x^2+2*x+1) lgdogf] A047241 7.77947 [(6*f(x)-215)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-2*x-1) ogf] A047241 7.84892 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A047242 12.5569 [x*(3*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047242 14.8846 [-3*(2*x+1)*(x+1)*(1+x^2)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A047242 5.00734 [{(-3*n-8)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+5)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=6} ogf] A047242 6.63575 [-(207*f(x)-961)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A047243 14.4111 [(3*x^2+x+2)/(x+1)/(x-1)^2 ogf] A047243 19.1682 [-(3+13*x+3*x^3+5*x^2)/(x-1)/(x+1)/(3*x^2+x+2) lgdogf] A047243 7.57827 [(876*f(x)+6647)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-x-2) ogf] A047243 7.84892 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=8} ogf] A047244 12.5569 [x*(3*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047244 14.3530 [-3*(1+3*x+2*x^3+4*x^2+2*x^4)/(x-1)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A047244 4.94665 [{(6*n+17)*a(n+1)+6*a(n+2)+6*a(n+3)+(-6*n-11)*a(n+4),a(0)=0,a(1)=2,a(2)=3,a(3)=6} ogf] A047244 6.52958 [-(1800*f(x)+4079)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-2*x) ogf] A047245 11.8890 [(3*x^3+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047245 12.3656 [-(2+4*x+3*x^5+7*x^3+15*x^2+5*x^4)/(x-1)/(x^2+x+1)/(3*x^3+x^2+x+1) lgdogf] A047245 5.00207 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=7} ogf] A047245 6.89362 [(f(x)+7)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A047246 11.2317 [x*(3*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047246 8.61808 [-2*(1+2*x+3*x^5+3*x^6+5*x^3+6*x^2+4*x^4)/(x-1)/(x+1)/(1+x^2)/(3*x^3+x^2+x+1) lgdogf] A047247 10.6102 [(x^4+x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047247 8.00100 [-(3+5*x+5*x^5+3*x^6+x^7+17*x^3+7*x^2+7*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+2) lgdogf] A047248 7.04273 [-(3+5*x+8*x^5+6*x^6+4*x^7+2*x^8+9*x^3+7*x^2+16*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+2) lgdogf] A047248 8.23584 [x*(x^4+x^3+x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047249 10.9052 [-(4+6*x+x^5+5*x^3+17*x^2+3*x^4)/(x-1)/(x^2+x+1)/(3+x+x^2+x^3) lgdogf] A047249 11.8431 [(x^3+x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047249 4.98276 [{(-n-4)*a(n+1)-a(n+2)-a(n+3)+(n+3)*a(n+4),a(0)=3,a(1)=4,a(2)=5,a(3)=9} ogf] A047249 6.4855 [-(21*f(x)+193)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-3) ogf] A047250 10.4529 [-2*(x^3+2*x^2+1)*(x^3+3*x+2)/(x-1)/(x+1)/(1+x^2)/(3+x+x^2+x^3) lgdogf] A047250 11.1341 [x*(x^3+x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047251 11.8403 [(x^3+x+1)/(x^2+1)/(x-1)^2 ogf] A047251 12.9616 [-(3-x+x^5+2*x^3+6*x^2+x^4)/(x-1)/(1+x^2)/(x^3+x+1) lgdogf] A047251 6.05172 [-(12*f(x)-89)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-x-1) ogf] A047252 7.11928 [-(3+5*x+13*x^5+6*x^6+4*x^7+2*x^8+9*x^3+7*x^2+11*x^4)/(x-1)/(x+1)/(x^3+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047252 8.23584 [x*(x+1)*(x^3+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047253 10.6162 [(x+1)*(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047253 31.0147 [-x^5+x^4+2 ogf_with_Euler_transform] A047253 8.43115 [-(2+4*x+x^9+9*x^5+7*x^6+5*x^7+3*x^8+8*x^3+6*x^2+15*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047254 12.5837 [(x+2)*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A047254 13.9603 [-(3+7*x+x^5+6*x^3+14*x^2+5*x^4)/(x+2)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A047254 5.26226 [{(3*n+11)*a(n+1)+3*a(n+2)+3*a(n+3)+(-3*n-8)*a(n+4),a(0)=2,a(1)=3,a(2)=5,a(3)=8} ogf] A047254 6.78338 [-(153*f(x)-1951)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-x-2) ogf] A047255 12.1635 [(x^3+x^2+1)/(x^2+1)/(x-1)^2 ogf] A047255 17.4188 [-(2+x^5-x^3+7*x^2+3*x^4)/(x-1)/(1+x^2)/(x^3+x^2+1) lgdogf] A047255 4.48453 [{(3*n+10)*a(n+1)+(-3*n-7)*a(n+2)+(3*n+10)*a(n+3)+(-3*n-7)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A047255 6.38803 [-(66*f(x)+61)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-1) ogf] A047256 6.99926 [-(2+4*x+9*x^5+7*x^6+7*x^7+2*x^8+9*x^3+9*x^2+11*x^4)/(x-1)/(x+1)/(x^3+x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A047256 8.18593 [x*(x+1)*(x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047257 10.8382 [(x^2+x+4)/(x+1)/(x-1)^2 ogf] A047257 15.7435 [-(5+15*x+x^3+3*x^2)/(x-1)/(x+1)/(4+x+x^2) lgdogf] A047257 5.7994 [(28*f(x)+263)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-4) ogf] A047257 5.85072 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=10} ogf] A047258 12.5084 [x*(x^2+x+4)/(x^2+x+1)/(x-1)^2 ogf] A047258 12.5513 [-(5+7*x+4*x^3+18*x^2+2*x^4)/(x-1)/(x^2+x+1)/(4+x+x^2) lgdogf] A047258 4.98801 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=0,a(1)=4,a(2)=5,a(3)=6} ogf] A047258 6.89022 [(24*f(x)+307)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-4*x) ogf] A047259 10.7293 [-(x+1)*(x^4+2*x^3+9*x^2+2*x+4)/(x-1)/(x^2+x+1)/(x^3+x^2+3*x+1) lgdogf] A047259 11.8431 [(x^3+x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047259 4.95256 [{(-3*n-11)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+8)*a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=7} ogf] A047259 6.64368 [(171*f(x)+595)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-3*x-1) ogf] A047260 11.1341 [x*(x^3+x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047260 8.75786 [-2*(2+3*x+2*x^5+x^6+5*x^3+4*x^2+7*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2+3*x+1) lgdogf] A047261 11.8431 [(x+1)*(x^2+2)/(x^2+x+1)/(x-1)^2 ogf] A047261 13.8045 [-(x+2)*(x^4+x^3+6*x^2+2*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2+2) lgdogf] A047261 4.92272 [{(-6*n-23)*a(n+1)-6*a(n+2)-6*a(n+3)+(6*n+17)*a(n+4),a(0)=2,a(1)=4,a(2)=5,a(3)=8} ogf] A047261 6.43443 [-(288*f(x)+827)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-2*x-2) ogf] A047262 12.5045 [x*(x^2+2)/(x^2+1)/(x-1)^2 ogf] A047262 16.2020 [-2*(2-x+4*x^2+x^4)/(x-1)/(x^2+2)/(1+x^2) lgdogf] A047262 6.15752 [-(66*f(x)+193)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-2*x) ogf] A047263 11.0877 [x*(x^2+1)*(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047263 21.8332 [x^4-x^3-x^2+x+2 ogf_with_Euler_transform] A047263 9.41777 [-(2+6*x+9*x^5+10*x^6+4*x^7+2*x^8+9*x^3+7*x^2+11*x^4)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A047264 11.3929 [x*(x+5)/(x+1)/(x-1)^2 ogf] A047264 19.9269 [-2*(3+8*x+x^2)/(x+5)/(x-1)/(x+1) lgdogf] A047264 5.85041 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=6} ogf] A047264 7.35413 [(876*f(x)+5111)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-5*x) ogf] A047266 12.6844 [x*(x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047266 14.7646 [-(5+7*x+13*x^3+9*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+4*x+1) lgdogf] A047266 5.05818 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=6} ogf] A047266 6.75806 [-(27*f(x)+115)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-x) ogf] A047267 11.7358 [-(5+7*x+10*x^3+12*x^2+2*x^4)/(x-1)/(x+2)/(x+1)/(x^2+x+1) lgdogf] A047267 12.6844 [x*(x+2)*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A047267 4.99687 [{(6*n+19)*a(n+1)+6*a(n+2)+6*a(n+3)+(-6*n-13)*a(n+4),a(0)=0,a(1)=2,a(2)=5,a(3)=6} ogf] A047267 6.81392 [(1872*f(x)+4201)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-2*x) ogf] A047268 10.4318 [-(2+8*x+x^5+7*x^3+11*x^2+7*x^4)/(x-1)/(x^2+x+1)/(x^3+3*x^2+x+1) lgdogf] A047268 12.0091 [(x^3+3*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047268 5.02198 [{(-3*n-10)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+7)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=7} ogf] A047268 6.68248 [(153*f(x)+1433)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-x-1) ogf] A047269 11.0767 [x*(x^3+3*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047269 8.90564 [-2*(1+4*x+5*x^5+x^6+5*x^3+4*x^2+4*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+3*x^2+x+1) lgdogf] A047270 10.7100 [(x^2+2*x+3)/(x+1)/(x-1)^2 ogf] A047270 14.8293 [-(5+13*x+x^3+5*x^2)/(x-1)/(x+1)/(x^2+2*x+3) lgdogf] A047270 5.58383 [-(6*f(x)+385)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2*x-3) ogf] A047270 5.83310 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=5,a(2)=9} ogf] A047271 11.9491 [-(5+7*x+7*x^3+15*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+2*x+3) lgdogf] A047271 12.6844 [x*(x^2+2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047271 5.02734 [{(-3*n-10)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+7)*a(n+4),a(0)=0,a(1)=3,a(2)=5,a(3)=6} ogf] A047271 6.92844 [(171*f(x)-287)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-3*x) ogf] A047273 12.1053 [x*(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A047273 18.1446 [-(3+x+3*x^3+3*x^2+2*x^4)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A047273 26.6877 [x^3-x^2-x+3 ogf_with_Euler_transform] A047273 4.53173 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=5} ogf] A047273 6.64426 [(f(x)-5)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-x) ogf] A047274 11.5302 [x*(6*x+1)/(x+1)/(x-1)^2 ogf] A047274 18.4424 [-(7+9*x+12*x^2)/(x-1)/(6*x+1)/(x+1) lgdogf] A047274 5.86803 [(553*f(x)+5002)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-x) ogf] A047274 5.92089 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A047275 11.9109 [-2*(3+4*x+8*x^3+5*x^2+x^4)/(x-1)/(x^2+x+1)/(x^2+5*x+1) lgdogf] A047275 12.4591 [x*(x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047275 4.96835 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=7} ogf] A047275 6.63805 [-(43*f(x)+233)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-5*x^2+f(x)-x) ogf] A047276 13.9037 [(x^2+4*x+2)/(x+1)/(x-1)^2 ogf] A047276 19.3446 [-(6+12*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+4*x+2) lgdogf] A047276 7.57257 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=6,a(2)=9} ogf] A047276 7.64079 [(7*f(x)-5)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-4*x-2) ogf] A047277 11.7665 [-(x+1)*(2*x^3+11*x^2+2*x+6)/(x-1)/(x^2+x+1)/(x^2+4*x+2) lgdogf] A047277 12.5223 [x*(x^2+4*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047277 4.93304 [{(-7*n-22)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+15)*a(n+4),a(0)=0,a(1)=2,a(2)=6,a(3)=7} ogf] A047277 6.83994 [(217*f(x)+753)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-2*x) ogf] A047278 10.1118 [-(2+10*x+x^5+8*x^3+12*x^2+9*x^4)/(x-1)/(x^2+x+1)/(x^3+4*x^2+x+1) lgdogf] A047278 11.8560 [(x^3+4*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047278 4.92809 [{(7*n+23)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-16)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=8} ogf] A047278 6.8172 [(7*f(x)+45)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-x-1) ogf] A047279 11.2651 [x*(x^3+4*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047279 8.55866 [-(2+10*x+13*x^5+2*x^6+11*x^3+9*x^2+9*x^4)/(x-1)/(x+1)/(x^3+4*x^2+x+1)/(1+x^2) lgdogf] A047280 13.6457 [(x^2+3*x+3)/(x+1)/(x-1)^2 ogf] A047280 19.4321 [-(x+3)*(x^2+4*x+2)/(x-1)/(x+1)/(x^2+3*x+3) lgdogf] A047280 6.99488 [-(119*f(x)-445)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-3*x-3) ogf] A047280 7.36628 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=6,a(2)=10} ogf] A047281 12.0579 [-2*(3+4*x+5*x^3+8*x^2+x^4)/(x-1)/(x^2+x+1)/(x^2+3*x+3) lgdogf] A047281 12.5856 [x*(x^2+3*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047281 4.95796 [{(7*n+23)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-16)*a(n+4),a(0)=0,a(1)=3,a(2)=6,a(3)=7} ogf] A047281 6.87449 [(182*f(x)+995)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-3*x) ogf] A047282 11.9156 [(x^3+3*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047282 4.95286 [{(7*n+24)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-17)*a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=8} ogf] A047282 6.47382 [-(224*f(x)+279)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-2*x-1) ogf] A047282 9.86557 [-(3+9*x+x^5+10*x^3+12*x^2+7*x^4)/(x-1)/(x^2+x+1)/(x^3+3*x^2+2*x+1) lgdogf] A047283 11.0524 [x*(x^3+3*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047283 8.20356 [-(3+9*x+10*x^5+2*x^6+11*x^3+9*x^2+12*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+3*x^2+2*x+1) lgdogf] A047284 10.3984 [-(3+9*x+x^5+7*x^3+15*x^2+7*x^4)/(x-1)/(x^2+x+1)/(x^3+3*x^2+x+2) lgdogf] A047284 11.9751 [(x^3+3*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047284 4.97762 [{(7*n+25)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-18)*a(n+4),a(0)=2,a(1)=3,a(2)=6,a(3)=9} ogf] A047284 6.45536 [-(133*f(x)-1697)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-x-2) ogf] A047285 11.1093 [x*(x^3+3*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047285 8.52739 [-(3+9*x+10*x^5+2*x^6+15*x^3+9*x^2+8*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+3*x^2+x+2) lgdogf] A047286 10.5862 [(x^4+3*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047286 7.71525 [-(2+4*x+7*x^5+7*x^6+x^7+14*x^3+12*x^2+9*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+3*x^3+x^2+x+1) lgdogf] A047287 6.96781 [-2*(1+2*x+5*x^5+4*x^6+5*x^7+x^8+5*x^3+6*x^2+6*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+3*x^3+x^2+x+1) lgdogf] A047287 8.23584 [x*(x^4+3*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047288 10.7823 [(x^2+2*x+4)/(x+1)/(x-1)^2 ogf] A047288 14.9337 [-(6+16*x+x^3+5*x^2)/(x-1)/(x+1)/(x^2+2*x+4) lgdogf] A047288 5.43568 [-(581*f(x)+11049)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2*x-4) ogf] A047288 5.82051 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=6,a(2)=11} ogf] A047289 12.5856 [x*(x^2+2*x+4)/(x^2+x+1)/(x-1)^2 ogf] A047289 14.6496 [-(6+8*x+7*x^3+19*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+2*x+4) lgdogf] A047289 4.95796 [{(-7*n-24)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+17)*a(n+4),a(0)=0,a(1)=4,a(2)=6,a(3)=7} ogf] A047289 6.76086 [-(10*f(x)+33)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-4*x) ogf] A047290 10.1739 [-(x+1)*(x^4+4*x^3+8*x^2+4*x+4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+3*x+1) lgdogf] A047290 11.9156 [(x^3+2*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047290 4.95286 [{(-7*n-25)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+18)*a(n+4),a(0)=1,a(1)=4,a(2)=6,a(3)=8} ogf] A047290 6.68435 [-(7*f(x)+5)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-3*x-1) ogf] A047291 11.0524 [x*(x^3+2*x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047291 8.30874 [-(4+8*x+7*x^5+2*x^6+11*x^3+9*x^2+15*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+2*x^2+3*x+1) lgdogf] A047292 12.2618 [(x^3+2*x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047292 12.7624 [-(4+8*x+x^5+9*x^3+15*x^2+5*x^4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+2*x+2) lgdogf] A047292 5.09676 [{(7*n+26)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-19)*a(n+4),a(0)=2,a(1)=4,a(2)=6,a(3)=9} ogf] A047292 6.71478 [-(21*f(x)+373)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-2*x-2) ogf] A047293 11.1093 [x*(x^3+2*x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047293 8.75786 [-(x^2+x+2)*(2*x^4+5*x^3+2*x^2+3*x+2)/(x-1)/(x+1)/(1+x^2)/(x^3+2*x^2+2*x+2) lgdogf] A047294 10.5862 [(x^4+2*x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047294 7.53583 [-(2+6*x+9*x^5+5*x^6+x^7+14*x^3+10*x^2+9*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^3+2*x^2+x+1) lgdogf] A047295 6.48489 [-(2+6*x+10*x^5+11*x^6+7*x^7+2*x^8+10*x^3+10*x^2+12*x^4)/(x-1)/(x^4+2*x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047295 8.23584 [x*(x^4+2*x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047296 10.1603 [-(4+8*x+x^5+6*x^3+18*x^2+5*x^4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+x+3) lgdogf] A047296 12.0347 [(x^3+2*x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047296 4.97243 [{(7*n+27)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-20)*a(n+4),a(0)=3,a(1)=4,a(2)=6,a(3)=10} ogf] A047296 6.64317 [-(7*f(x)+335)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-x-3) ogf] A047297 11.1663 [x*(x^3+2*x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047297 8.69476 [-(4+8*x+7*x^5+2*x^6+19*x^3+9*x^2+7*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+2*x^2+x+3) lgdogf] A047298 10.6402 [(x^4+2*x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047298 7.49548 [-(3+5*x+6*x^5+5*x^6+x^7+14*x^3+10*x^2+12*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^3+x^2+2*x+1) lgdogf] A047299 6.59017 [-(3+5*x+14*x^5+7*x^6+7*x^7+2*x^8+10*x^3+10*x^2+12*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+x^2+2*x+1) lgdogf] A047299 8.28575 [x*(x^4+2*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047300 10.6943 [(x^4+2*x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047300 7.76318 [-(3+5*x+6*x^5+5*x^6+x^7+18*x^3+10*x^2+8*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^3+x^2+x+2) lgdogf] A047301 6.79399 [-(3+5*x+9*x^5+7*x^6+7*x^7+2*x^8+10*x^3+10*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+x^2+x+2) lgdogf] A047301 8.28575 [x*(x^4+2*x^3+x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047302 6.27635 [-(2+4*x+x^9+10*x^5+8*x^6+6*x^7+5*x^8+12*x^3+6*x^2+16*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+2*x^4+x^3+x^2+x+1) lgdogf] A047302 7.94340 [(x^5+2*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047303 5.29212 [-(2+4*x+7*x^9+2*x^10+13*x^5+11*x^6+9*x^7+7*x^8+12*x^3+6*x^2+11*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4+x^3+x^2+x+1) lgdogf] A047303 8.99127 [x*(x^5+2*x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047304 23.0417 [-x^6+x^5+2 ogf_with_Euler_transform] A047304 5.07732 [-(2+4*x+5*x^9+3*x^10+x^11+18*x^5+11*x^6+9*x^7+7*x^8+8*x^3+6*x^2+10*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A047304 7.21662 [(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047305 6.41665 [-(3+5*x+x^9+9*x^5+7*x^6+5*x^7+3*x^8+9*x^3+7*x^2+21*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x+2) lgdogf] A047305 7.81392 [(x^5+x^4+x^3+x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047306 5.45812 [-(3+5*x+4*x^9+2*x^10+19*x^5+10*x^6+8*x^7+6*x^8+9*x^3+7*x^2+11*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+x^2+x+2) lgdogf] A047306 9.21253 [x*(x^5+x^4+x^3+x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047307 10.7483 [(x^4+x^3+x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047307 8.10040 [-(4+6*x+5*x^5+3*x^6+x^7+22*x^3+8*x^2+7*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+3) lgdogf] A047308 6.96862 [-2*(2+3*x+4*x^5+3*x^6+2*x^7+x^8+5*x^3+4*x^2+11*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+3) lgdogf] A047308 8.15009 [x*(x^4+x^3+x^2+x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047309 6.23155 [-(3+5*x+x^9+14*x^5+7*x^6+5*x^7+3*x^8+9*x^3+7*x^2+16*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+2*x+1) lgdogf] A047309 7.81392 [(x^5+x^4+x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047310 5.36864 [-(3+5*x+4*x^9+2*x^10+13*x^5+16*x^6+8*x^7+6*x^8+9*x^3+7*x^2+11*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+x^2+2*x+1) lgdogf] A047310 9.38722 [x*(x^5+x^4+x^3+x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047311 10.4935 [-(5+7*x+x^5+5*x^3+21*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+x+4) lgdogf] A047311 12.0347 [(x^3+x^2+x+4)/(x^2+x+1)/(x-1)^2 ogf] A047311 4.97243 [{(-7*n-29)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+22)*a(n+4),a(0)=4,a(1)=5,a(2)=6,a(3)=11} ogf] A047311 6.48747 [-(119*f(x)+1299)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-4) ogf] A047312 11.1663 [x*(x^3+x^2+x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047312 8.93297 [-(5+7*x+4*x^5+2*x^6+23*x^3+9*x^2+6*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+x+4) lgdogf] A047313 10.6402 [(x^4+x^3+x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047313 9.55552 [-(4+6*x+5*x^5+3*x^6+x^7+14*x^3+8*x^2+15*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+3*x+1) lgdogf] A047314 7.01082 [-2*(2+3*x+9*x^5+3*x^6+2*x^7+x^8+5*x^3+4*x^2+6*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+3*x+1) lgdogf] A047314 8.28575 [x*(x^4+x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047315 10.6943 [(x^4+x^3+x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047315 7.76318 [-(4+6*x+5*x^5+3*x^6+x^7+18*x^3+8*x^2+11*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+2*x+2) lgdogf] A047316 6.79399 [-(4+6*x+13*x^5+6*x^6+4*x^7+2*x^8+10*x^3+8*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+2*x+2) lgdogf] A047316 8.28575 [x*(x^4+x^3+x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047317 6.27635 [-(2+6*x+x^9+10*x^5+11*x^6+5*x^7+3*x^8+9*x^3+7*x^2+16*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+2*x^2+x+1) lgdogf] A047317 7.94340 [(x^5+x^4+x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047318 10.0430 [x*(x^5+x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047318 7.16255 [-(2+6*x+4*x^9+2*x^10+13*x^5+11*x^6+13*x^7+6*x^8+9*x^3+7*x^2+11*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+2*x^2+x+1) lgdogf] A047319 10.7823 [(x^2+x+5)/(x+1)/(x-1)^2 ogf] A047319 15.6622 [-(6+18*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+5) lgdogf] A047319 5.66998 [(119*f(x)+1286)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-5) ogf] A047319 5.82051 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=6,a(2)=12} ogf] A047320 12.2854 [-2*(3+4*x+2*x^3+11*x^2+x^4)/(x-1)/(x^2+x+5)/(x^2+x+1) lgdogf] A047320 12.5856 [x*(x^2+x+5)/(x^2+x+1)/(x-1)^2 ogf] A047320 4.95796 [{(-7*n-25)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+18)*a(n+4),a(0)=0,a(1)=5,a(2)=6,a(3)=7} ogf] A047320 6.8172 [(161*f(x)+1851)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-5*x) ogf] A047321 10.1739 [-(5+7*x+x^5+14*x^3+12*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+4*x+1) lgdogf] A047321 11.9156 [(x^3+x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047321 4.95286 [{(7*n+26)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-19)*a(n+4),a(0)=1,a(1)=5,a(2)=6,a(3)=8} ogf] A047321 6.85146 [(7*f(x)+66)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-4*x-1) ogf] A047322 11.0524 [x*(x^3+x^2+4*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047322 8.52739 [-(5+7*x+4*x^5+2*x^6+11*x^3+9*x^2+18*x^4)/(x-1)/(x+1)/(x^3+x^2+4*x+1)/(x^2+1) lgdogf] A047323 10.2359 [-(5+7*x+x^5+11*x^3+15*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+3*x+2) lgdogf] A047323 11.9751 [(x^3+x^2+3*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047323 4.97762 [{(-7*n-27)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+20)*a(n+4),a(0)=2,a(1)=5,a(2)=6,a(3)=9} ogf] A047323 6.71777 [(413*f(x)+977)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-3*x-2) ogf] A047324 11.1093 [x*(x^3+x^2+3*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047324 8.52739 [-(5+7*x+4*x^5+2*x^6+15*x^3+9*x^2+14*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+3*x+2) lgdogf] A047325 10.5862 [(x^4+x^3+3*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047325 7.71525 [-(2+8*x+11*x^5+3*x^6+x^7+14*x^3+8*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+3*x^2+x+1) lgdogf] A047326 6.96781 [-2*(1+4*x+5*x^5+7*x^6+2*x^7+x^8+5*x^3+4*x^2+6*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+3*x^2+x+1) lgdogf] A047326 8.23584 [x*(x^4+x^3+3*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047327 10.1603 [-(5+7*x+x^5+8*x^3+18*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+2*x+3) lgdogf] A047327 12.0347 [(x^3+x^2+2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047327 5.03270 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=3,a(1)=5,a(2)=6,a(3)=10} ogf] A047327 6.97812 [(f(x)+6)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-2*x-3) ogf] A047328 10.5614 [-(5+7*x+4*x^5+2*x^6+19*x^3+9*x^2+10*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+2*x+3) lgdogf] A047328 11.1663 [x*(x^3+x^2+2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047329 10.6402 [(x^4+x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047329 7.58264 [-(3+7*x+8*x^5+3*x^6+x^7+14*x^3+8*x^2+12*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+2*x^2+2*x+1) lgdogf] A047330 6.86476 [-(x+1)*(2*x^7+2*x^6+8*x^5+6*x^4+6*x^3+4*x^2+4*x+3)/(x-1)/(x^4+x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047330 8.28575 [x*(x^4+x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047331 10.6943 [(x^4+x^3+2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047331 8.81225 [-(x^4+3*x^3+6*x^2+x+3)*(x^3+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+2*x^2+x+2) lgdogf] A047332 6.79399 [-(3+7*x+9*x^5+10*x^6+4*x^7+2*x^8+10*x^3+8*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+2*x^2+x+2) lgdogf] A047332 8.28575 [x*(x^4+x^3+2*x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047335 11.3341 [x*(x+6)/(x+1)/(x-1)^2 ogf] A047335 19.2232 [-(7+19*x+2*x^2)/(x-1)/(x+6)/(x+1) lgdogf] A047335 5.47493 [-(1981*f(x)+13369)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-6*x) ogf] A047335 5.82020 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=7} ogf] A047336 14.1624 [(x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A047336 19.2620 [-(6+10*x+x^3+11*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A047336 7.44747 [-(f(x)+12)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-5*x-1) ogf] A047336 7.71345 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=8} ogf] A047337 6.82265 [-2*(1+2*x+5*x^5+4*x^6+3*x^7+3*x^8+8*x^3+3*x^2+6*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+x^3+x^2+x+1) lgdogf] A047337 8.23584 [x*(3*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047338 10.5862 [(3*x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047338 7.62449 [-(2+4*x+7*x^5+5*x^6+3*x^7+20*x^3+6*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(3*x^4+x^3+x^2+x+1) lgdogf] A047339 10.0784 [-(3+5*x+3*x^5+7*x^3+19*x^2+5*x^4)/(x-1)/(3*x^3+x^2+x+2)/(x^2+x+1) lgdogf] A047339 11.9751 [(3*x^3+x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047339 4.97762 [{(7*n+23)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-16)*a(n+4),a(0)=2,a(1)=3,a(2)=4,a(3)=9} ogf] A047339 6.45536 [-(728*f(x)+6031)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-x-2) ogf] A047340 10.7655 [-(3+5*x+6*x^5+6*x^6+15*x^3+13*x^2+8*x^4)/(x-1)/(x+1)/(3*x^3+x^2+x+2)/(x^2+1) lgdogf] A047340 11.3795 [x*(3*x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047341 10.7823 [(3*x^2+x+3)/(x+1)/(x-1)^2 ogf] A047341 14.2700 [-(4+16*x+3*x^3+5*x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A047341 5.82051 [(11*f(x)+95)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-x-3) ogf] A047341 5.82051 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=10} ogf] A047342 12.5856 [x*(3*x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047342 14.3880 [-2*(2+5*x+3*x^3+8*x^2+3*x^4)/(x-1)/(3*x^2+x+3)/(x^2+x+1) lgdogf] A047342 5.01879 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=3,a(2)=4,a(3)=7} ogf] A047342 6.992 [(23*f(x)+47)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-3*x) ogf] A047343 11.9156 [(3*x^3+x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047343 4.95286 [{(7*n+22)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-15)*a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=8} ogf] A047343 6.5774 [-(14*f(x)+61)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A047343 9.57541 [-(3+5*x+3*x^5+10*x^3+16*x^2+5*x^4)/(x-1)/(x^2+x+1)/(3*x^3+x^2+2*x+1) lgdogf] A047344 11.0524 [x*(3*x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047344 8.20356 [-(3+5*x+6*x^5+6*x^6+11*x^3+13*x^2+12*x^4)/(x-1)/(x+1)/(x^2+1)/(3*x^3+x^2+2*x+1) lgdogf] A047345 13.7003 [x*(3*x+4)/(x+1)/(x-1)^2 ogf] A047345 21.9669 [-(7+15*x+6*x^2)/(x-1)/(3*x+4)/(x+1) lgdogf] A047345 7.0353 [(511*f(x)+565)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-4*x) ogf] A047345 7.03530 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=7} ogf] A047346 13.4972 [-(4+12*x+3*x^3+9*x^2)/(x-1)/(x+1)/(3*x^2+3*x+1) lgdogf] A047346 14.8171 [(3*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A047346 7.65968 [-(63*f(x)-103)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A047346 8.07001 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A047347 12.7624 [x*(3*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047347 14.0892 [-2*(2+5*x+6*x^3+5*x^2+3*x^4)/(x-1)/(x^2+x+1)/(3*x^2+3*x+1) lgdogf] A047347 5.02759 [{(-7*n-19)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+12)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=7} ogf] A047347 6.91295 [(511*f(x)-3225)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-3*x^2+f(x)-x) ogf] A047348 10.7185 [(3*x^2+2*x+2)/(x+1)/(x-1)^2 ogf] A047348 13.8752 [-(3*x+1)*(x^2+2*x+4)/(x-1)/(x+1)/(3*x^2+2*x+2) lgdogf] A047348 5.63643 [(329*f(x)+6779)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-2*x-2) ogf] A047348 5.83773 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=9} ogf] A047349 12.8258 [x*(3*x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047349 14.1603 [-(4+10*x+9*x^3+13*x^2+6*x^4)/(x-1)/(x^2+x+1)/(3*x^2+2*x+2) lgdogf] A047349 5.05261 [{(-7*n-20)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+13)*a(n+4),a(0)=0,a(1)=2,a(2)=4,a(3)=7} ogf] A047349 7.06509 [(77*f(x)+955)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-2*x) ogf] A047350 11.8560 [(3*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047350 4.98819 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A047350 7.1136 [-f(x)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A047350 9.65906 [-(2+6*x+3*x^5+8*x^3+16*x^2+7*x^4)/(x-1)/(x^2+x+1)/(3*x^3+2*x^2+x+1) lgdogf] A047351 11.2651 [x*(3*x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047351 8.44894 [-(2+6*x+9*x^5+6*x^6+11*x^3+13*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(3*x^3+2*x^2+x+1) lgdogf] A047352 11.5988 [x*(5*x+2)/(x+1)/(x-1)^2 ogf] A047352 18.0388 [-(7+11*x+10*x^2)/(x-1)/(5*x+2)/(x+1) lgdogf] A047352 5.95614 [(77*f(x)+4309)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-2*x) ogf] A047352 5.95614 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A047353 10.9023 [(5*x^2+x+1)/(x+1)/(x-1)^2 ogf] A047353 14.4310 [-(2+14*x+5*x^3+7*x^2)/(x-1)/(x+1)/(5*x^2+x+1) lgdogf] A047353 5.73314 [(182*f(x)+1497)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-x-1) ogf] A047353 5.93788 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A047354 11.4146 [-2*(1+6*x+4*x^3+5*x^2+5*x^4)/(x-1)/(x^2+x+1)/(5*x^2+x+1) lgdogf] A047354 12.6989 [x*(5*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047354 5.00258 [{(7*n+17)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-10)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=7} ogf] A047354 6.99514 [(84*f(x)+641)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-x^2+f(x)-x) ogf] A047355 14.7364 [x*(4*x+3)/(x+1)/(x-1)^2 ogf] A047355 23.6497 [-(7+13*x+8*x^2)/(x-1)/(4*x+3)/(x+1) lgdogf] A047355 7.56732 [(259*f(x)-209)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-3*x) ogf] A047355 7.56732 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=7} ogf] A047356 10.6547 [(4*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A047356 13.4972 [-(3+13*x+4*x^3+8*x^2)/(x-1)/(x+1)/(4*x^2+2*x+1) lgdogf] A047356 5.41612 [-(203*f(x)+5373)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-2*x-1) ogf] A047356 5.80298 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A047357 12.4591 [x*(4*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047357 14.2412 [-(x+1)*(8*x^3+2*x^2+8*x+3)/(x-1)/(x^2+x+1)/(4*x^2+2*x+1) lgdogf] A047357 4.90813 [{(-7*n-18)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+11)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A047357 6.63805 [-(14*f(x)-599)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A047358 10.7185 [(4*x^2+x+2)/(x+1)/(x-1)^2 ogf] A047358 14.1835 [-(3+15*x+4*x^3+6*x^2)/(x-1)/(x+1)/(4*x^2+x+2) lgdogf] A047358 5.63643 [(301*f(x)+2458)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-x-2) ogf] A047358 5.83773 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=9} ogf] A047359 11.5564 [-(3+11*x+7*x^3+13*x^2+8*x^4)/(x-1)/(x^2+x+1)/(4*x^2+x+2) lgdogf] A047359 12.5223 [x*(4*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047359 4.93304 [{(7*n+19)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-12)*a(n+4),a(0)=0,a(1)=2,a(2)=3,a(3)=7} ogf] A047359 6.67175 [-(77*f(x)+306)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-x^2+f(x)-2*x) ogf] A047360 11.8560 [(4*x^3+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047360 12.1458 [-2*(1+2*x+2*x^5+4*x^3+9*x^2+3*x^4)/(x-1)/(x^2+x+1)/(4*x^3+x^2+x+1) lgdogf] A047360 4.92809 [{(7*n+20)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-13)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=8} ogf] A047360 6.34158 [-(1232*f(x)+9477)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A047361 11.2651 [x*(4*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047361 8.67128 [-(2+4*x+7*x^5+8*x^6+11*x^3+15*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(4*x^3+x^2+x+1) lgdogf] A047362 10.6943 [(2*x^2+3*x+2)*(x^2-x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047362 7.32704 [-(3+5*x+6*x^5+4*x^6+2*x^7+21*x^3+7*x^2+8*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^2+3*x+2)/(x^2-x+1) lgdogf] A047363 6.59017 [-(3+5*x+9*x^5+7*x^6+5*x^7+4*x^8+13*x^3+7*x^2+17*x^4)/(x-1)/(2*x^2+3*x+2)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047363 8.28575 [x*(2*x^2+3*x+2)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047364 12.0347 [(2*x^3+x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047364 4.97243 [{(-7*n-26)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+19)*a(n+4),a(0)=3,a(1)=4,a(2)=5,a(3)=10} ogf] A047364 6.48747 [-(112*f(x)+1049)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-x-3) ogf] A047364 9.84771 [-2*(2+3*x+x^5+3*x^3+10*x^2+2*x^4)/(x-1)/(2*x^3+x^2+x+3)/(x^2+x+1) lgdogf] A047365 11.1663 [x*(2*x^3+x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047365 8.58035 [-(4+6*x+5*x^5+4*x^6+19*x^3+11*x^2+7*x^4)/(x-1)/(x+1)/(2*x^3+x^2+x+3)/(x^2+1) lgdogf] A047366 10.6402 [(2*x^4+x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047366 7.41030 [-(3+5*x+6*x^5+4*x^6+2*x^7+17*x^3+7*x^2+12*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+x^2+2*x+1) lgdogf] A047367 6.65674 [-(3+5*x+14*x^5+7*x^6+5*x^7+4*x^8+13*x^3+7*x^2+12*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+x^2+2*x+1) lgdogf] A047367 8.28575 [x*(2*x^4+x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047368 5.33550 [-(2+4*x+5*x^9+4*x^10+13*x^5+11*x^6+9*x^7+7*x^8+8*x^3+6*x^2+15*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+x^4+x^3+x^2+x+1) lgdogf] A047368 9.16528 [x*(2*x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047369 6.27635 [-2*(1+2*x+x^9+5*x^5+4*x^6+3*x^7+2*x^8+4*x^3+3*x^2+10*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^5+x^4+x^3+x^2+x+1) lgdogf] A047369 9.56226 [(2*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047370 11.9751 [(2*x^3+2*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047370 12.0872 [-(3+7*x+2*x^5+7*x^3+17*x^2+6*x^4)/(x-1)/(x^2+x+1)/(2*x^3+2*x^2+x+2) lgdogf] A047370 4.97762 [{(-7*n-24)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+17)*a(n+4),a(0)=2,a(1)=3,a(2)=5,a(3)=9} ogf] A047370 6.71777 [(14*f(x)+1025)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-x-2) ogf] A047371 11.1093 [x*(2*x^3+2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047371 8.30874 [-(3+7*x+8*x^5+4*x^6+15*x^3+11*x^2+8*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+2*x^2+x+2) lgdogf] A047372 10.5862 [(2*x^4+2*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047372 7.44921 [-(2+4*x+7*x^5+6*x^6+2*x^7+17*x^3+9*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+2*x^3+x^2+x+1) lgdogf] A047373 10.1224 [x*(2*x^4+2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047373 6.82265 [-(x+1)*(4*x^7+4*x^6+4*x^5+6*x^4+6*x^3+7*x^2+2*x+2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+2*x^3+x^2+x+1) lgdogf] A047374 10.7823 [(2*x^2+x+4)/(x+1)/(x-1)^2 ogf] A047374 14.2700 [-(5+17*x+2*x^3+4*x^2)/(x-1)/(x+1)/(4+x+2*x^2) lgdogf] A047374 5.39113 [-(1253*f(x)+11946)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x-4) ogf] A047374 5.82051 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=11} ogf] A047375 11.8387 [-(5+9*x+5*x^3+19*x^2+4*x^4)/(x-1)/(x^2+x+1)/(4+x+2*x^2) lgdogf] A047375 12.5856 [x*(2*x^2+x+4)/(x^2+x+1)/(x-1)^2 ogf] A047375 4.95796 [{(-7*n-23)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+16)*a(n+4),a(0)=0,a(1)=4,a(2)=5,a(3)=7} ogf] A047375 7.05228 [(7*f(x)+52)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-4*x) ogf] A047376 11.9156 [(2*x^3+x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047376 4.95286 [{(-7*n-24)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+17)*a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=8} ogf] A047376 6.5774 [(1183*f(x)+2469)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-3*x-1) ogf] A047376 9.86557 [-2*(2+3*x+x^5+6*x^3+7*x^2+2*x^4)/(x-1)/(x^2+x+1)/(2*x^3+x^2+3*x+1) lgdogf] A047377 11.0524 [x*(2*x^3+x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047377 8.20356 [-(4+6*x+5*x^5+4*x^6+11*x^3+11*x^2+15*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+x^2+3*x+1) lgdogf] A047378 11.9751 [(2*x^3+x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047378 4.97762 [{(7*n+25)*a(n+1)+7*a(n+2)+7*a(n+3)+(-7*n-18)*a(n+4),a(0)=2,a(1)=4,a(2)=5,a(3)=9} ogf] A047378 6.77283 [(91*f(x)+457)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-2*x-2) ogf] A047378 9.77758 [-(4+6*x+2*x^5+9*x^3+17*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2+2*x+x^2+2*x^3) lgdogf] A047379 8.20356 [-(4+6*x+5*x^5+4*x^6+15*x^3+11*x^2+11*x^4)/(x-1)/(x+1)/(x^2+1)/(2+2*x+x^2+2*x^3) lgdogf] A047379 9.04325 [x*(2*x^3+x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047380 10.5862 [(2*x^4+x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047380 7.44921 [-(2+6*x+9*x^5+4*x^6+2*x^7+17*x^3+7*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+2*x^2+x+1) lgdogf] A047381 6.54974 [-(2+6*x+10*x^5+11*x^6+5*x^7+4*x^8+13*x^3+7*x^2+12*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+2*x^2+x+1) lgdogf] A047381 8.23584 [x*(2*x^4+x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047382 11.3341 [x*(2*x+5)/(x+1)/(x-1)^2 ogf] A047382 18.1248 [-(7+17*x+4*x^2)/(2*x+5)/(x-1)/(x+1) lgdogf] A047382 5.76823 [(133*f(x)+1496)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-5*x) ogf] A047382 5.82020 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=7} ogf] A047383 10.6547 [(2*x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A047383 13.2160 [-(5+11*x+2*x^3+10*x^2)/(x-1)/(x+1)/(2*x^2+4*x+1) lgdogf] A047383 5.6516 [(497*f(x)+135)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-4*x-1) ogf] A047383 5.80298 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=8} ogf] A047384 12.4591 [x*(2*x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047384 13.7502 [-(5+9*x+14*x^3+10*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+4*x+1) lgdogf] A047384 4.90813 [{(-7*n-20)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+13)*a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=7} ogf] A047384 6.69291 [-(14*f(x)+89)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-4*x^2+f(x)-x) ogf] A047385 10.7185 [(2*x^2+3*x+2)/(x+1)/(x-1)^2 ogf] A047385 13.5800 [-(5+13*x+2*x^3+8*x^2)/(x-1)/(x+1)/(2*x^2+3*x+2) lgdogf] A047385 5.83773 [(5*f(x)-13)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-3*x-2) ogf] A047385 5.83773 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=9} ogf] A047386 11.1579 [-(5+9*x+11*x^3+13*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+3*x+2) lgdogf] A047386 12.5223 [(2*x^2+3*x+2)*x/(x^2+x+1)/(x-1)^2 ogf] A047386 4.99357 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=2,a(2)=5,a(3)=7} ogf] A047386 7.07785 [(3*f(x)+5)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-2*x) ogf] A047387 11.8560 [(2*x^3+3*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047387 4.92809 [{(-7*n-22)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+15)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=8} ogf] A047387 6.39112 [-(455*f(x)-4034)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-x-1) ogf] A047387 9.80541 [-2*(1+4*x+x^5+4*x^3+7*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^3+3*x^2+x+1) lgdogf] A047388 11.2651 [x*(2*x^3+3*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047388 8.34199 [-(2+8*x+11*x^5+4*x^6+11*x^3+11*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+3*x^2+x+1) lgdogf] A047389 10.7823 [(2*x^2+2*x+3)/(x+1)/(x-1)^2 ogf] A047389 13.6628 [-(5+15*x+2*x^3+6*x^2)/(x-1)/(x+1)/(3+2*x+2*x^2) lgdogf] A047389 5.71928 [(91*f(x)+1727)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x-3) ogf] A047389 5.82051 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=5,a(2)=10} ogf] A047390 12.8893 [x*(2*x^2+2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047390 14.4812 [-(5+9*x+8*x^3+16*x^2+4*x^4)/(x-1)/(x^2+x+1)/(3+2*x+2*x^2) lgdogf] A047390 5.07762 [{(-7*n-22)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+15)*a(n+4),a(0)=0,a(1)=3,a(2)=5,a(3)=7} ogf] A047390 6.92404 [-(14*f(x)+19)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-3*x) ogf] A047391 11.9156 [(2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047391 4.95286 [{(-7*n-23)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+16)*a(n+4),a(0)=1,a(1)=3,a(2)=5,a(3)=8} ogf] A047391 6.68435 [(91*f(x)+1376)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-2*x-1) ogf] A047391 9.30182 [-(3+7*x+2*x^5+10*x^3+14*x^2+6*x^4)/(x-1)/(x^2+x+1)/(2*x^3+2*x^2+2*x+1) lgdogf] A047392 11.0524 [x*(2*x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047392 8.00100 [-(3+7*x+8*x^5+4*x^6+11*x^3+11*x^2+12*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+2*x^2+2*x+1) lgdogf] A047393 14.8794 [x*(7*x+1)/(x+1)/(x-1)^2 ogf] A047393 23.2193 [-2*(4+5*x+7*x^2)/(x-1)/(7*x+1)/(x+1) lgdogf] A047393 7.43972 [(2144*f(x)+21065)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-x) ogf] A047393 7.64079 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A047394 10.9831 [-(6+10*x+17*x^3+11*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+5*x+1) lgdogf] A047394 12.5350 [x*(2*x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047394 4.93802 [{(-8*n-23)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+15)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=8} ogf] A047394 6.36543 [-(28048*f(x)+188703)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-5*x^2+f(x)-x) ogf] A047395 12.5980 [2*x*(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A047395 21.5677 [-(3+2*x+2*x^3+5*x^2)/(x^2+x+1)/(x-1)/(x+1) lgdogf] A047395 28.1210 [3-2*x+1/2*x^2 egf]_with_Euler_transform] A047395 5.02373 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=2,a(2)=6,a(3)=8} ogf] A047395 6.82391 [-(7*f(x)+22)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-4*x^2+f(x)-2*x) ogf] A047396 11.9270 [(2*x^3+4*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047396 4.95760 [{(-8*n-25)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+17)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=9} ogf] A047396 6.33049 [-(1392*f(x)+68569)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-4*x^2+f(x)-x-1) ogf] A047396 9.44862 [-(2+10*x+2*x^5+9*x^3+15*x^2+10*x^4)/(x-1)/(x^2+x+1)/(2*x^3+4*x^2+x+1) lgdogf] A047397 11.1808 [x*(2*x^3+4*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047397 8.32292 [-2*(1+5*x+7*x^5+2*x^6+6*x^3+6*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+4*x^2+x+1) lgdogf] A047398 13.8454 [(2*x^2+3*x+3)/(x+1)/(x-1)^2 ogf] A047398 18.0072 [-2*(3+8*x+x^3+4*x^2)/(x-1)/(x+1)/(2*x^2+3*x+3) lgdogf] A047398 7.0381 [-(416*f(x)-6761)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-3*x-3) ogf] A047398 7.47409 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=6,a(2)=11} ogf] A047399 11.0501 [-(6+10*x+11*x^3+17*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+3*x+3) lgdogf] A047399 12.5980 [x*(2*x^2+3*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047399 4.96284 [{(8*n+25)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-17)*a(n+4),a(0)=0,a(1)=3,a(2)=6,a(3)=8} ogf] A047399 6.65747 [-(112*f(x)+185)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-3*x) ogf] A047400 11.9270 [(x+1)*(2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047400 4.98765 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=9} ogf] A047400 6.80135 [(52*f(x)-79)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-2*x-1) ogf] A047400 9.58757 [-(3+9*x+2*x^5+11*x^3+15*x^2+8*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x+1+2*x^2) lgdogf] A047401 11.1808 [x*(2*x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A047401 12.4844 [-(3+3*x+3*x^3+3*x^2+4*x^4)/(x-1)/(x^2+1)/(x+1+2*x^2) lgdogf] A047401 5.87192 [-(16*f(x)+55)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-x) ogf] A047402 11.9863 [(2*x^3+3*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047402 4.95244 [{(-8*n-27)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+19)*a(n+4),a(0)=2,a(1)=3,a(2)=6,a(3)=10} ogf] A047402 6.56395 [(4912*f(x)-80499)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-x-2) ogf] A047402 9.50681 [-(3+9*x+2*x^5+8*x^3+18*x^2+8*x^4)/(x-1)/(x^2+x+1)/(2*x^3+3*x^2+x+2) lgdogf] A047403 10.7266 [-(3+9*x+11*x^5+4*x^6+16*x^3+12*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+3*x^2+x+2) lgdogf] A047403 11.7798 [x*(2*x^3+3*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047404 11.2620 [-2*(1+x^5-x^3+5*x^2+2*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^2-x+1) lgdogf] A047404 11.2943 [(x+1)*(2*x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A047404 4.20655 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A047404 6.19913 [(3*f(x)+5)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A047405 7.57491 [-(2+2*x+2*x^5+7*x^6+4*x^7+4*x^3+10*x^2+9*x^4)/(x-1)/(x+1)/(2*x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047405 8.28575 [x*(2*x^2-x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047406 13.5873 [2*(x^2+x+2)/(x+1)/(x-1)^2 ogf] A047406 20.3163 [-(3+9*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+2) lgdogf] A047406 7.2704 [(16*f(x)+251)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x-4) ogf] A047406 7.33473 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=6,a(2)=12} ogf] A047407 12.3581 [2*x*(x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047407 12.3756 [-(3+5*x+4*x^3+10*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+x+2) lgdogf] A047407 4.89802 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=0,a(1)=4,a(2)=6,a(3)=8} ogf] A047407 6.8656 [(28*f(x)+15)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-4*x) ogf] A047408 11.9863 [(2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047408 4.98227 [{(-8*n-27)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+19)*a(n+4),a(0)=1,a(1)=4,a(2)=6,a(3)=9} ogf] A047408 6.72405 [(496*f(x)+305)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-3*x-1) ogf] A047408 9.37008 [-(4+8*x+2*x^5+13*x^3+15*x^2+6*x^4)/(x-1)/(x^2+x+1)/(2*x^3+2*x^2+3*x+1) lgdogf] A047409 11.2375 [x*(2*x^3+2*x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047409 8.37429 [-4*(1+2*x+2*x^5+x^6+3*x^3+3*x^2+4*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+2*x^2+3*x+1) lgdogf] A047410 10.6815 [-(2+4*x+x^5+5*x^3+9*x^2+3*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A047410 12.0457 [2*(x^2+1)*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A047410 28.5428 [-x^3+x^2+2 ogf_with_Euler_transform] A047410 5.03728 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=2,a(1)=4,a(2)=6,a(3)=10} ogf] A047410 6.70284 [-(2*f(x)+27)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-2*x-2) ogf] A047411 11.5351 [(2*x^4+2*x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047411 9.90281 [-2*(1+3*x+5*x^5+3*x^6+x^7+9*x^3+5*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+2*x^3+2*x^2+x+1) lgdogf] A047412 10.3820 [x*(2*x^4+2*x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047412 6.39822 [-(2+6*x+11*x^5+12*x^6+8*x^7+4*x^8+14*x^3+10*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+2*x^3+2*x^2+x+1) lgdogf] A047413 12.0457 [(2*x^3+2*x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047413 4.97695 [{(-8*n-29)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+21)*a(n+4),a(0)=3,a(1)=4,a(2)=6,a(3)=11} ogf] A047413 6.29661 [-(12976*f(x)+268461)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-x-3) ogf] A047413 9.56550 [-(4+8*x+2*x^5+7*x^3+21*x^2+6*x^4)/(x-1)/(x^2+x+1)/(2*x^3+2*x^2+x+3) lgdogf] A047414 11.2943 [x*(2*x^3+2*x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047414 8.64740 [-4*(1+2*x+2*x^5+x^6+5*x^3+3*x^2+2*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+2*x^2+x+3) lgdogf] A047415 12.0091 [(2*x^3+x+1)/(x^2+1)/(x-1)^2 ogf] A047415 12.1704 [-(3-x+2*x^5+x^3+9*x^2+2*x^4)/(x-1)/(x^2+1)/(2*x^3+x+1) lgdogf] A047415 4.18498 [{(4*n+13)*a(n+1)+(-4*n-9)*a(n+2)+(4*n+13)*a(n+3)+(-4*n-9)*a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=6} ogf] A047415 6.3254 [(16*f(x)+27)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+f(x)-x-1) ogf] A047416 6.86476 [-(3+5*x+15*x^5+8*x^6+8*x^7+4*x^8+14*x^3+10*x^2+13*x^4)/(x-1)/(x+1)/(2*x^3+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047416 8.28575 [x*(x+1)*(2*x^3+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047417 10.5590 [(2*x^4+2*x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047417 7.51374 [-(3+5*x+7*x^5+6*x^6+2*x^7+22*x^3+10*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+2*x^3+x^2+x+2) lgdogf] A047418 6.48081 [-(3+5*x+10*x^5+8*x^6+8*x^7+4*x^8+14*x^3+10*x^2+18*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+2*x^3+x^2+x+2) lgdogf] A047418 9.94638 [x*(2*x^4+2*x^3+x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047419 6.29205 [-(2+4*x+2*x^9+11*x^5+9*x^6+7*x^7+6*x^8+12*x^3+6*x^2+21*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^2+1) lgdogf] A047419 9.52744 [(x+1)*(2*x^4+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047420 8.18718 [-2*(1+x^5+2*x^6+2*x^8+2*x^3+2*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^4+x^2+1) lgdogf] A047420 9.21253 [x*(2*x^4+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047421 8.40938 [x*(2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047422 5.03067 [-2*(2*x+3*x^9+2*x^10+x^11+12*x^5+6*x^6+5*x^7+4*x^8+4*x^3+3*x^2+5*x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A047422 8.73970 [(2*x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047423 5.92824 [-(3+5*x+2*x^9+10*x^5+8*x^6+6*x^7+4*x^8+9*x^3+7*x^2+26*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(2*x^4-x^3+2*x^2-x+2) lgdogf] A047423 9.62565 [(x+1)*(2*x^4-x^3+2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047424 6.79399 [-(3-x-6*x^5+9*x^6-3*x^7+4*x^8-2*x^3+6*x^2+14*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^4-x^3+2*x^2-x+2) lgdogf] A047424 7.70097 [x*(2*x^4-x^3+2*x^2-x+2)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047425 10.6126 [(2*x^4+x^3+x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047425 7.82608 [-2*(2+3*x+3*x^5+2*x^6+x^7+13*x^3+4*x^2+4*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+x^2+x+3) lgdogf] A047426 6.75085 [-(4+6*x+9*x^5+7*x^6+5*x^7+4*x^8+14*x^3+8*x^2+23*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+x^2+x+3) lgdogf] A047426 9.99793 [x*(2*x^4+x^3+x^2+x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047427 6.00075 [-(3+5*x+2*x^9+15*x^5+8*x^6+6*x^7+4*x^8+9*x^3+7*x^2+21*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^5+x^4+x^3+x^2+2*x+1) lgdogf] A047427 9.57654 [(2*x^5+x^4+x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047428 5.28205 [-(3+5*x+5*x^9+4*x^10+14*x^5+17*x^6+9*x^7+7*x^8+9*x^3+7*x^2+16*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+x^4+x^3+x^2+2*x+1) lgdogf] A047428 9.21253 [x*(2*x^5+x^4+x^3+x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047429 11.8190 [(2*x^3+x^2+x+4)/(x^2+x+1)/(x-1)^2 ogf] A047429 4.88328 [{(-8*n-31)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+23)*a(n+4),a(0)=4,a(1)=5,a(2)=6,a(3)=12} ogf] A047429 6.27313 [-(3600*f(x)+39751)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-x-4) ogf] A047429 9.92031 [-(5+7*x+2*x^5+6*x^3+24*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^3+x^2+x+4) lgdogf] A047430 11.0811 [x*(2*x^3+x^2+x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047430 8.70012 [-(5+7*x+5*x^5+4*x^6+24*x^3+12*x^2+7*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+x^2+x+4) lgdogf] A047431 10.5590 [(2*x^3-x^2+2*x+1)/(x^2+1)/(x-1)^2 ogf] A047431 11.8073 [-2*(2-x+x^5+2*x^3+4*x^2)/(x-1)/(x^2+1)/(2*x^3-x^2+2*x+1) lgdogf] A047431 4.14819 [{(-2*n-7)*a(n+1)+(2*n+5)*a(n+2)+(-2*n-7)*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=6} ogf] A047431 5.89163 [(8*f(x)+99)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A047432 6.52492 [-(4+6*x+19*x^5+7*x^6+5*x^7+4*x^8+14*x^3+8*x^2+13*x^4)/(x-1)/(x+1)/(2*x^3-x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047432 9.94638 [x*(x+1)*(2*x^3-x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047433 10.6126 [(2*x^4+x^3+x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047433 7.64617 [-2*(2+3*x+3*x^5+2*x^6+x^7+11*x^3+4*x^2+6*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+x^2+2*x+2) lgdogf] A047434 6.54628 [-(4+6*x+14*x^5+7*x^6+5*x^7+4*x^8+14*x^3+8*x^2+18*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+x^2+2*x+2) lgdogf] A047434 9.99793 [x*(2*x^4+x^3+x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047435 5.83857 [-(2+6*x+2*x^9+11*x^5+12*x^6+6*x^7+4*x^8+9*x^3+7*x^2+21*x^4)/(x-1)/(x+1)/(x^2-x+1)/(2*x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047435 9.57654 [(x+1)*(x^2-x+1)*(2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047436 10.7251 [(2*x^2+x+5)/(x+1)/(x-1)^2 ogf] A047436 14.1944 [-2*(3+10*x+x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+x+5) lgdogf] A047436 5.36257 [-(5024*f(x)+55035)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-x-5) ogf] A047436 5.78967 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=6,a(2)=13} ogf] A047437 11.7126 [-(6+10*x+5*x^3+23*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+x+5) lgdogf] A047437 12.6610 [x*(2*x^2+x+5)/(x^2+x+1)/(x-1)^2 ogf] A047437 4.98765 [{(-8*n-27)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+19)*a(n+4),a(0)=0,a(1)=5,a(2)=6,a(3)=8} ogf] A047437 6.48003 [-(9808*f(x)+101179)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-5*x) ogf] A047438 11.9863 [(2*x^3+x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047438 5.04303 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=5,a(2)=6,a(3)=9} ogf] A047438 6.77916 [(81*f(x)+284)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-4*x-1) ogf] A047438 9.78964 [-(x+1)*(2*x^4+2*x^3+13*x^2+2*x+5)/(x-1)/(x^2+x+1)/(2*x^3+x^2+4*x+1) lgdogf] A047439 11.2375 [x*(2*x^3+x^2+4*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047439 8.26829 [-(5+7*x+5*x^5+4*x^6+12*x^3+12*x^2+19*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+x^2+4*x+1) lgdogf] A047440 12.0457 [(2*x^3+x^2+3*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047440 4.97695 [{(-8*n-29)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+21)*a(n+4),a(0)=2,a(1)=5,a(2)=6,a(3)=10} ogf] A047440 6.5445 [(17456*f(x)+60197)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-3*x-2) ogf] A047440 9.42483 [-(5+7*x+2*x^5+12*x^3+18*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^3+x^2+3*x+2) lgdogf] A047441 11.2943 [x*(2*x^3+x^2+3*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047441 8.31901 [-(5+7*x+5*x^5+4*x^6+16*x^3+12*x^2+15*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3+x^2+3*x+2) lgdogf] A047442 10.1379 [x*(x^2+1)*(2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047442 6.72466 [-(2+8*x+11*x^5+15*x^6+5*x^7+4*x^8+14*x^3+8*x^2+13*x^4)/(x-1)/(x^2+1)/(2*x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047443 12.0457 [(x+1)*(2*x^2-x+3)/(x^2+x+1)/(x-1)^2 ogf] A047443 4.97695 [{(-4*n-15)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+11)*a(n+4),a(0)=3,a(1)=5,a(2)=6,a(3)=11} ogf] A047443 6.39348 [-(4124*f(x)+31583)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-x^2+f(x)-2*x-3) ogf] A047443 9.56550 [-(5+7*x+2*x^5+9*x^3+21*x^2+4*x^4)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2-x+3) lgdogf] A047444 11.2943 [x*(2*x^2-x+3)/(x^2+1)/(x-1)^2 ogf] A047444 12.4000 [-(5-3*x-3*x^3+13*x^2+4*x^4)/(x-1)/(x^2+1)/(2*x^2-x+3) lgdogf] A047444 4.18519 [{(4*n+13)*a(n+1)+(-4*n-9)*a(n+2)+(4*n+13)*a(n+3)+(-4*n-9)*a(n+4),a(0)=0,a(1)=3,a(2)=5,a(3)=6} ogf] A047444 5.80622 [-(176*f(x)+1137)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-3*x) ogf] A047445 10.7614 [(2*x^4+x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047445 7.30225 [-(3+7*x+9*x^5+4*x^6+2*x^7+18*x^3+8*x^2+13*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+2*x^2+2*x+1) lgdogf] A047446 10.1379 [x*(2*x^4+x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047446 6.46095 [-(3+7*x+15*x^5+11*x^6+5*x^7+4*x^8+14*x^3+8*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+2*x^2+2*x+1) lgdogf] A047447 10.5590 [(2*x^4+x^3+2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047447 7.60011 [-(3+7*x+9*x^5+4*x^6+2*x^7+22*x^3+8*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+2*x^2+x+2) lgdogf] A047448 6.48081 [-(3+7*x+10*x^5+11*x^6+5*x^7+4*x^8+14*x^3+8*x^2+18*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+2*x^2+x+2) lgdogf] A047448 9.94638 [x*(2*x^4+x^3+2*x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047449 7.70860 [-(2+4*x+2*x^9+11*x^5+9*x^6+9*x^7+4*x^8+9*x^3+9*x^2+21*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^5+x^4+2*x^3+x^2+x+1) lgdogf] A047449 9.99232 [(2*x^5+x^4+2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047450 5.19821 [-(2+4*x+5*x^9+4*x^10+14*x^5+12*x^6+10*x^7+11*x^8+9*x^3+9*x^2+16*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+x^4+2*x^3+x^2+x+1) lgdogf] A047450 9.21253 [x*(2*x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047451 11.2740 [2*x*(x+3)/(x+1)/(x-1)^2 ogf] A047451 19.7189 [-2*(2+5*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A047451 5.78936 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=8} ogf] A047451 7.6041 [(32*f(x)+295)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-6*x) ogf] A047452 10.5982 [(2*x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A047452 13.7175 [-2*(3+6*x+x^3+6*x^2)/(x-1)/(x+1)/(2*x^2+5*x+1) lgdogf] A047452 5.62166 [(160*f(x)-493)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-5*x-1) ogf] A047452 5.77223 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=9} ogf] A047453 10.0862 [x*(4*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047453 6.79399 [-(2+4*x+11*x^5+9*x^6+7*x^7+8*x^8+20*x^3+6*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(4*x^4+x^3+x^2+x+1) lgdogf] A047454 10.7076 [(4*x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047454 7.50799 [-2*(1+2*x+4*x^5+3*x^6+2*x^7+12*x^3+3*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(4*x^4+x^3+x^2+x+1) lgdogf] A047455 11.9863 [(4*x^3+x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047455 4.95244 [{(-8*n-25)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+17)*a(n+4),a(0)=2,a(1)=3,a(2)=4,a(3)=10} ogf] A047455 6.46139 [-(400*f(x)+3559)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-x^2+f(x)-x-2) ogf] A047455 9.79933 [-(3+5*x+4*x^5+8*x^3+22*x^2+6*x^4)/(x-1)/(x^2+x+1)/(2+x+x^2+4*x^3) lgdogf] A047456 11.2375 [x*(4*x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047456 8.59467 [-(3+5*x+7*x^5+8*x^6+16*x^3+16*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2+x+x^2+4*x^3) lgdogf] A047457 13.5210 [(4*x^2+x+3)/(x+1)/(x-1)^2 ogf] A047457 17.5785 [-2*(2+9*x+2*x^3+3*x^2)/(x-1)/(x+1)/(4*x^2+x+3) lgdogf] A047457 6.76051 [-(3872*f(x)+35615)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-x-3) ogf] A047457 7.29896 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=11} ogf] A047458 11.6420 [-(4+12*x+7*x^3+17*x^2+8*x^4)/(x-1)/(x^2+x+1)/(4*x^2+x+3) lgdogf] A047458 12.5980 [x*(4*x^2+x+3)/(x^2+x+1)/(x-1)^2 ogf] A047458 4.96284 [{(8*n+23)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-15)*a(n+4),a(0)=0,a(1)=3,a(2)=4,a(3)=8} ogf] A047458 6.71204 [(5296*f(x)+15741)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-x^2+f(x)-3*x) ogf] A047459 11.9270 [(4*x^3+x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047459 5.01806 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=9} ogf] A047459 6.4294 [-(431*f(x)+2584)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A047459 9.58757 [-(3+5*x+4*x^5+11*x^3+19*x^2+6*x^4)/(x-1)/(x^2+x+1)/(4*x^3+x^2+2*x+1) lgdogf] A047460 11.1808 [x*(4*x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047460 8.21756 [-(3+5*x+7*x^5+8*x^6+12*x^3+16*x^2+13*x^4)/(x-1)/(x+1)/(x^2+1)/(4*x^3+x^2+2*x+1) lgdogf] A047461 14.1043 [(4*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A047461 17.5844 [-2*(2+7*x+2*x^3+5*x^2)/(x-1)/(x+1)/(4*x^2+3*x+1) lgdogf] A047461 7.4169 [(544*f(x)-4141)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-3*x-1) ogf] A047461 7.68179 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A047462 10.9831 [-(4+12*x+13*x^3+11*x^2+8*x^4)/(x-1)/(x^2+x+1)/(4*x^2+3*x+1) lgdogf] A047462 12.5350 [x*(4*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047462 4.93802 [{(-8*n-21)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+13)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=8} ogf] A047462 6.67848 [(2160*f(x)-16751)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-3*x^2+f(x)-x) ogf] A047463 14.1711 [2*(2*x^2+x+1)/(x+1)/(x-1)^2 ogf] A047463 19.2756 [-2*(1+4*x+x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A047463 7.58279 [(32*f(x)+495)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-2*x-2) ogf] A047463 7.64989 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=10} ogf] A047464 12.0732 [-(2+6*x+5*x^3+7*x^2+4*x^4)/(x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A047464 12.5980 [2*x*(2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047464 4.99310 [{(-4*n-11)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+7)*a(n+4),a(0)=0,a(1)=2,a(2)=4,a(3)=8} ogf] A047464 7.05921 [(5*f(x)+32)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-2*x^2+f(x)-2*x) ogf] A047465 11.9270 [(4*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047465 6.28216 [-(7568*f(x)+170959)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A047465 6.63679 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A047465 9.73067 [-(2+6*x+4*x^5+9*x^3+19*x^2+8*x^4)/(x-1)/(x^2+x+1)/(4*x^3+2*x^2+x+1) lgdogf] A047466 11.1808 [x*(4*x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047466 8.32292 [-2*(1+3*x+5*x^5+4*x^6+6*x^3+8*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(4*x^3+2*x^2+x+1) lgdogf] A047467 10.0259 [-f(x)*x^3+f(x)*x^2+f(x)*x+6*x^2-f(x)+2*x ogf] A047467 14.9510 [2*x*(3*x+1)/(x+1)/(x-1)^2 ogf] A047467 23.3326 [-2*(2+3*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A047467 7.67753 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A047468 14.0374 [(6*x^2+x+1)/(x+1)/(x-1)^2 ogf] A047468 18.2603 [-2*(1+8*x+3*x^3+4*x^2)/(x-1)/(x+1)/(6*x^2+x+1) lgdogf] A047468 7.01871 [-(2720*f(x)+24547)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-x-1) ogf] A047468 7.64538 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A047469 11.2992 [-(2+14*x+9*x^3+11*x^2+12*x^4)/(x-1)/(x^2+x+1)/(6*x^2+x+1) lgdogf] A047469 12.4720 [x*(6*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047469 4.91321 [{(8*n+19)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-11)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=8} ogf] A047469 6.64492 [-(80*f(x)+683)*(f(x)*x^4-f(x)*x^3-6*x^3-f(x)*x-x^2+f(x)-x) ogf] A047470 14.9510 [x*(5*x+3)/(x+1)/(x-1)^2 ogf] A047470 23.3326 [-2*(4+7*x+5*x^2)/(x-1)/(5*x+3)/(x+1) lgdogf] A047470 7.60898 [(608*f(x)-3131)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-3*x) ogf] A047470 7.67753 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=8} ogf] A047471 14.0374 [(5*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A047471 17.8718 [-(3+15*x+5*x^3+9*x^2)/(x-1)/(x+1)/(5*x^2+2*x+1) lgdogf] A047471 7.51125 [(13*f(x)+770)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-2*x-1) ogf] A047471 7.64538 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A047472 11.5009 [-(x+1)*(10*x^3+x^2+10*x+3)/(x-1)/(x^2+x+1)/(5*x^2+2*x+1) lgdogf] A047472 12.4720 [x*(5*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047472 4.97349 [{(-2*n-5)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=8} ogf] A047472 6.81244 [(76*f(x)+2163)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A047473 14.1043 [(5*x^2+x+2)/(x+1)/(x-1)^2 ogf] A047473 18.7567 [-(3+17*x+5*x^3+7*x^2)/(x-1)/(x+1)/(2+x+5*x^2) lgdogf] A047473 7.05213 [-(3296*f(x)+29253)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-x-2) ogf] A047473 7.61381 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=10} ogf] A047474 11.3685 [-(3+13*x+8*x^3+14*x^2+10*x^4)/(x-1)/(x^2+x+1)/(2+x+5*x^2) lgdogf] A047474 12.5350 [x*(5*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047474 4.93802 [{(8*n+21)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-13)*a(n+4),a(0)=0,a(1)=2,a(2)=3,a(3)=8} ogf] A047474 6.36543 [-(24880*f(x)+139477)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-x^2+f(x)-2*x) ogf] A047475 11.8677 [(5*x^3+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047475 12.3460 [-(2+4*x+5*x^5+9*x^3+21*x^2+7*x^4)/(x-1)/(x^2+x+1)/(5*x^3+x^2+x+1) lgdogf] A047475 4.96284 [{(-4*n-11)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+7)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=9} ogf] A047475 6.39741 [-(300*f(x)+2543)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A047476 11.1240 [x*(5*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047476 8.48921 [-2*(1+2*x+4*x^5+5*x^6+6*x^3+9*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(5*x^3+x^2+x+1) lgdogf] A047477 11.9256 [-(7+9*x+7*x^3+23*x^2+2*x^4)/(x-1)/(x^2+x+1)/(5+2*x+x^2) lgdogf] A047477 12.6610 [x*(x^2+2*x+5)/(x^2+x+1)/(x-1)^2 ogf] A047477 5.04885 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=0,a(1)=5,a(2)=7,a(3)=8} ogf] A047477 7.03387 [(2*f(x)+203)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-5*x) ogf] A047478 11.9863 [(x^3+2*x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047478 4.98227 [{(8*n+29)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-21)*a(n+4),a(0)=1,a(1)=5,a(2)=7,a(3)=9} ogf] A047478 6.51226 [-(208*f(x)-277)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-4*x-1) ogf] A047478 9.93797 [-(5+9*x+x^5+15*x^3+13*x^2+5*x^4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+4*x+1) lgdogf] A047479 11.2375 [x*(x^3+2*x^2+4*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047479 8.26829 [-(5+9*x+7*x^5+2*x^6+12*x^3+10*x^2+19*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2+4*x+1) lgdogf] A047480 10.0139 [-(5+9*x+x^5+12*x^3+16*x^2+5*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2+x+2) lgdogf] A047480 12.0457 [(x+1)*(x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047480 4.97695 [{(-4*n-15)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+11)*a(n+4),a(0)=2,a(1)=5,a(2)=7,a(3)=10} ogf] A047480 6.81272 [(188*f(x)+39)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-3*x-2) ogf] A047481 11.2943 [x*(x^2+x+2)/(x^2+1)/(x-1)^2 ogf] A047481 13.6917 [-(5-x+3*x^3+7*x^2+2*x^4)/(x-1)/(x^2+1)/(x^2+x+2) lgdogf] A047481 4.18519 [{(4*n+13)*a(n+1)+(-4*n-9)*a(n+2)+(4*n+13)*a(n+3)+(-4*n-9)*a(n+4),a(0)=0,a(1)=2,a(2)=5,a(3)=7} ogf] A047481 5.97452 [(176*f(x)+1481)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-2*x) ogf] A047482 10.7614 [(x^4+2*x^3+3*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047482 7.46821 [-(2+8*x+12*x^5+5*x^6+x^7+15*x^3+11*x^2+10*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+3*x^2+x+1) lgdogf] A047483 6.52492 [-(2+8*x+11*x^5+15*x^6+7*x^7+2*x^8+11*x^3+11*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+3*x^2+x+1) lgdogf] A047483 8.28575 [x*(x^4+2*x^3+3*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047484 12.0457 [(x^3+2*x^2+2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047484 4.97695 [{(8*n+31)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-23)*a(n+4),a(0)=3,a(1)=5,a(2)=7,a(3)=11} ogf] A047484 6.81272 [(48*f(x)+725)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-2*x-3) ogf] A047484 9.85982 [-(5+9*x+x^5+9*x^3+19*x^2+5*x^4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+2*x+3) lgdogf] A047485 11.2943 [x*(x^3+2*x^2+2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047485 8.31901 [-(5+9*x+7*x^5+2*x^6+20*x^3+10*x^2+11*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2+2*x+3) lgdogf] A047486 18.0597 [[x^4-x^3-x+3] ogf_with_Euler_transform] A047486 8.03679 [-(3+4*x+6*x^5+5*x^6+2*x^7+4*x^3+7*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A047486 8.28575 [x*(x^2+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047487 10.5590 [(x^4+2*x^3+2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047487 7.68848 [-(3+7*x+9*x^5+5*x^6+x^7+19*x^3+11*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+2*x^2+x+2) lgdogf] A047488 6.41665 [-(3+7*x+10*x^5+11*x^6+7*x^7+2*x^8+11*x^3+11*x^2+18*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+2*x^2+x+2) lgdogf] A047488 9.94638 [x*(x^4+2*x^3+2*x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047489 6.29205 [-(2+4*x+x^9+11*x^5+9*x^6+9*x^7+5*x^8+13*x^3+9*x^2+17*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A047489 7.81392 [(x+1)*(x^4+x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047490 7.79731 [-(2+x^5+3*x^6+3*x^7+2*x^8-x^3+7*x^2+7*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+1) lgdogf] A047490 8.45273 [x*(x^4+x^3+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047491 10.2352 [-(5+9*x+x^5+6*x^3+22*x^2+5*x^4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+x+4) lgdogf] A047491 11.8190 [(x^3+2*x^2+x+4)/(x^2+x+1)/(x-1)^2 ogf] A047491 4.94247 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=4,a(1)=5,a(2)=7,a(3)=12} ogf] A047491 6.63014 [(49*f(x)+1061)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-x-4) ogf] A047492 11.0811 [x*(x^3+2*x^2+x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047492 8.70012 [-(5+9*x+7*x^5+2*x^6+24*x^3+10*x^2+7*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2+x+4) lgdogf] A047493 10.5590 [(x^4+2*x^3+x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047493 7.60011 [-(4+6*x+6*x^5+5*x^6+x^7+15*x^3+11*x^2+16*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+x^2+3*x+1) lgdogf] A047494 6.59017 [-(4+6*x+19*x^5+7*x^6+7*x^7+2*x^8+11*x^3+11*x^2+13*x^4)/(x-1)/(x^4+2*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047494 9.94638 [x*(x^4+2*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047495 11.1941 [(x^3+x^2+2)/(x^2+1)/(x-1)^2 ogf] A047495 12.0949 [-(4-2*x+x^5-x^3+11*x^2+3*x^4)/(x-1)/(x^2+1)/(x^3+x^2+2) lgdogf] A047495 5.96476 [(208*f(x)+579)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-2) ogf] A047496 6.75085 [-(4+6*x+14*x^5+7*x^6+7*x^7+2*x^8+11*x^3+11*x^2+18*x^4)/(x-1)/(x+1)/(x^3+x^2+2)/(x^4+x^3+x^2+x+1) lgdogf] A047496 9.99793 [x*(x+1)*(x^3+x^2+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047497 6.00075 [-(2+6*x+x^9+11*x^5+12*x^6+6*x^7+5*x^8+13*x^3+7*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+2*x^4+x^3+2*x^2+x+1) lgdogf] A047497 9.57654 [(x^5+2*x^4+x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047498 5.64633 [-(x^2+1)*(2*x^8+7*x^7+5*x^6+7*x^5+7*x^4+7*x^3+5*x^2+6*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4+x^3+2*x^2+x+1) lgdogf] A047498 9.21253 [x*(x^5+2*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047499 10.6126 [(x^4+2*x^3+x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047499 7.91925 [-(4+6*x+6*x^5+5*x^6+x^7+23*x^3+11*x^2+8*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+x^2+x+3) lgdogf] A047500 6.68125 [-(4+6*x+9*x^5+7*x^6+7*x^7+2*x^8+11*x^3+11*x^2+23*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+2*x^3+x^2+x+3) lgdogf] A047500 9.99793 [x*(x^4+2*x^3+x^2+x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047501 16.1270 [-x^5+x^4+x^2-2*x+3 ogf_with_Euler_transform] A047501 7.81392 [(x^2-x+1)*(x+1)^3/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047501 8.30874 [-(3-x-x^5+3*x^6+x^7+2*x^3+6*x^2+7*x^4)/(x-1)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047502 6.21054 [-(3+5*x+x^9+10*x^5+8*x^6+6*x^7+5*x^8+13*x^3+7*x^2+22*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+2*x^4+x^3+x^2+x+2) lgdogf] A047502 9.62565 [(x^5+2*x^4+x^3+x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047503 5.35786 [-(3+5*x+7*x^9+2*x^10+20*x^5+11*x^6+9*x^7+7*x^8+13*x^3+7*x^2+12*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4+x^3+x^2+x+2) lgdogf] A047503 9.08542 [x*(x^5+2*x^4+x^3+x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047504 7.75314 [-(2+x^9-3*x^5+7*x^6-x^7+3*x^8+4*x^2+11*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^2+1) lgdogf] A047504 8.37930 [(x^5+x^4+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047505 5.50398 [-2*(1+2*x+2*x^9+x^10+7*x^5+6*x^6+5*x^7+7*x^8+5*x^3+6*x^2+6*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+3*x^3+x^2+x+1) lgdogf] A047505 9.21253 [x*(x^5+x^4+3*x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047506 10.2352 [-(6+8*x+x^5+8*x^3+22*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+2*x+4) lgdogf] A047506 11.8190 [(x^3+x^2+2*x+4)/(x^2+x+1)/(x-1)^2 ogf] A047506 4.88328 [{(-8*n-33)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+25)*a(n+4),a(0)=4,a(1)=6,a(2)=7,a(3)=12} ogf] A047506 6.27313 [-(1552*f(x)+13919)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-2*x-4) ogf] A047507 11.0811 [x*(x^3+x^2+2*x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047507 8.81613 [-2*(3+4*x+2*x^5+x^6+12*x^3+5*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+2*x+4) lgdogf] A047508 11.7833 [(x^3+2*x+1)/(x^2+1)/(x-1)^2 ogf] A047508 13.2242 [-(4+x^5+5*x^3+5*x^2+x^4)/(x-1)/(x^2+1)/(x^3+2*x+1) lgdogf] A047508 6.0675 [(208*f(x)+1691)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-2*x-1) ogf] A047509 10.1896 [x*(x+1)*(x^3+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047509 6.86476 [-(4+8*x+19*x^5+10*x^6+4*x^7+2*x^8+11*x^3+9*x^2+13*x^4)/(x-1)/(x+1)/(x^3+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047510 10.6126 [(x^4+x^3+2*x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047510 7.73508 [-(4+8*x+8*x^5+3*x^6+x^7+19*x^3+9*x^2+12*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+2*x^2+2*x+2) lgdogf] A047511 6.48081 [-(4+8*x+14*x^5+10*x^6+4*x^7+2*x^8+11*x^3+9*x^2+18*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+2*x^2+2*x+2) lgdogf] A047511 9.99793 [x*(x^4+x^3+2*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047512 21.9184 [[x^4-2*x^3+x+2] ogf_with_Euler_transform] A047512 8.10102 [-(2+6*x+7*x^5+3*x^6+x^7+4*x^3+8*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A047512 9.57654 [(x+1)*(x^2+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047513 10.9162 [-2*(1+x+x^6-x^3+x^2+3*x^4)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A047513 22.0806 [[x^5-2*x^3+x+2] ogf_with_Euler_transform] A047513 9.21253 [x*(x^2+1)^2/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047514 10.6126 [(x^4+x^3+2*x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047514 8.01466 [-(4+8*x+8*x^5+3*x^6+x^7+23*x^3+9*x^2+8*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+2*x^2+x+3) lgdogf] A047515 6.68125 [-(4+8*x+9*x^5+10*x^6+4*x^7+2*x^8+11*x^3+9*x^2+23*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+2*x^2+x+3) lgdogf] A047515 8.15009 [x*(x^4+x^3+2*x^2+x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047516 6.00075 [-(3+5*x+x^9+15*x^5+8*x^6+8*x^7+3*x^8+10*x^3+10*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+2*x^3+x^2+2*x+1) lgdogf] A047516 9.80871 [(x^5+x^4+2*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047517 5.15728 [-(3+5*x+4*x^9+2*x^10+14*x^5+17*x^6+9*x^7+10*x^8+10*x^3+10*x^2+12*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+2*x^3+x^2+2*x+1) lgdogf] A047517 9.38722 [x*(x^5+x^4+2*x^3+x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047518 6.03803 [-(3+5*x+x^9+10*x^5+8*x^6+8*x^7+3*x^8+10*x^3+10*x^2+22*x^4)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x+2)/(x^4+x^3+x^2+x+1) lgdogf] A047518 7.86127 [(x+1)*(x^2-x+1)*(x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047519 8.73970 [(x^6+x^5+2*x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047520 10.4129 [x*(x+1)/(2*x-1)/(x-1)^3 ogf] A047520 20.2011 [-6*(-1+x+x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A047520 3.43573 [{(n+3)*a(n+4)+(-10-2*n)*a(n+3)+(5-n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=21} ogf] A047520 5.05103 [-(1544*f(x)+865)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-x^2+f(x)-x) ogf] A047521 15.0225 [x*(x+7)/(x+1)/(x-1)^2 ogf] A047521 25.5773 [-2*(4+11*x+x^2)/(x-1)/(x+7)/(x+1) lgdogf] A047521 7.25663 [-(3872*f(x)+29807)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-7*x) ogf] A047521 7.71426 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=8} ogf] A047522 14.1043 [(x^2+6*x+1)/(x+1)/(x-1)^2 ogf] A047522 19.1830 [-(7+11*x+x^3+13*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A047522 7.68179 [(5*f(x)+52)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-6*x-1) ogf] A047522 7.68179 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=9} ogf] A047523 11.5715 [-(7+9*x+19*x^3+11*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+6*x+1) lgdogf] A047523 12.5350 [x*(x^2+6*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047523 4.99861 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=7,a(3)=8} ogf] A047523 6.67848 [-(21*f(x)+137)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-6*x^2+f(x)-x) ogf] A047524 14.1711 [(x^2+5*x+2)/(x+1)/(x-1)^2 ogf] A047524 19.2756 [-(7+13*x+x^3+11*x^2)/(x-1)/(x+1)/(x^2+5*x+2) lgdogf] A047524 7.20365 [-(416*f(x)-2937)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-5*x-2) ogf] A047524 7.64989 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=7,a(2)=10} ogf] A047525 11.6420 [-(7+9*x+16*x^3+14*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+5*x+2) lgdogf] A047525 11.9939 [x*(x^2+5*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047525 4.72487 [{(-8*n-25)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+17)*a(n+4),a(0)=0,a(1)=2,a(2)=7,a(3)=8} ogf] A047525 6.13862 [-(13136*f(x)+62587)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-5*x^2+f(x)-2*x) ogf] A047526 10.0301 [-(2+12*x+x^5+9*x^3+13*x^2+11*x^4)/(x-1)/(x^2+x+1)/(x^3+5*x^2+x+1) lgdogf] A047526 11.9270 [(x^3+5*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A047526 4.98765 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=9} ogf] A047526 6.53145 [(3844*f(x)+26657)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-5*x^2+f(x)-x-1) ogf] A047527 10.3327 [-2*(1+6*x+8*x^5+x^6+6*x^3+5*x^2+5*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+5*x^2+x+1) lgdogf] A047527 10.6432 [x*(x^3+5*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047528 11.6420 [-(7+9*x+13*x^3+17*x^2+2*x^4)/(x-1)/(x+3)/(x+1)/(x^2+x+1) lgdogf] A047528 12.5980 [x*(x+3)*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A047528 4.99310 [{(-4*n-13)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+9)*a(n+4),a(0)=0,a(1)=3,a(2)=7,a(3)=8} ogf] A047528 6.60378 [-(524*f(x)+2063)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-3*x) ogf] A047529 11.9270 [(x^3+4*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047529 4.95760 [{(8*n+27)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-19)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=9} ogf] A047529 6.4294 [-(464*f(x)+1411)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-2*x-1) ogf] A047529 9.73067 [-(3+11*x+x^5+11*x^3+13*x^2+9*x^4)/(x-1)/(x^2+x+1)/(x^3+4*x^2+2*x+1) lgdogf] A047530 11.1808 [x*(x^3+4*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047530 8.01466 [-(3+11*x+13*x^5+2*x^6+12*x^3+10*x^2+13*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+4*x^2+2*x+1) lgdogf] A047531 11.9863 [(x^3+4*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A047531 5.01247 [{(2*n+7)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-5)*a(n+4),a(0)=2,a(1)=3,a(2)=7,a(3)=10} ogf] A047531 6.72405 [(34*f(x)+1249)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-x-2) ogf] A047531 9.95244 [-(3+11*x+x^5+8*x^3+16*x^2+9*x^4)/(x-1)/(x^2+x+1)/(x^3+4*x^2+x+2) lgdogf] A047532 11.2375 [x*(x^3+4*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047532 8.37429 [-(3+11*x+13*x^5+2*x^6+16*x^3+10*x^2+9*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+4*x^2+x+2) lgdogf] A047533 10.7076 [(x^4+4*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047533 7.68464 [-(2+4*x+8*x^5+9*x^6+x^7+15*x^3+15*x^2+10*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+4*x^3+x^2+x+1) lgdogf] A047534 6.65674 [-(2+4*x+11*x^5+9*x^6+13*x^7+2*x^8+11*x^3+15*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+4*x^3+x^2+x+1) lgdogf] A047534 8.28575 [x*(x^4+4*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047535 13.9120 [(x^2+3*x+4)/(x+1)/(x-1)^2 ogf] A047535 19.3579 [-(7+17*x+x^3+7*x^2)/(x-1)/(x+1)/(x^2+3*x+4) lgdogf] A047535 7.3158 [(352*f(x)-8467)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-3*x-4) ogf] A047535 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=7,a(2)=12} ogf] A047536 11.7126 [-(7+9*x+10*x^3+20*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+3*x+4) lgdogf] A047536 12.6610 [x*(x^2+3*x+4)/(x^2+x+1)/(x-1)^2 ogf] A047536 4.98765 [{(-8*n-27)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+19)*a(n+4),a(0)=0,a(1)=4,a(2)=7,a(3)=8} ogf] A047536 6.85803 [(272*f(x)-9793)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-4*x) ogf] A047537 11.9863 [(x+1)^3/(x^2+x+1)/(x-1)^2 ogf] A047537 16.3976 [-(4+2*x+x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A047537 32.9465 [x^2-3*x+4 ogf_with_Euler_transform] A047537 5.04303 [{(2*n+7)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=4,a(2)=7,a(3)=9} ogf] A047537 6.72405 [-(f(x)+7)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A047538 11.2375 [x*(x+1)^2/(x^2+1)/(x-1)^2 ogf] A047538 17.1893 [-2*(2-x+2*x^2+x^3)/(1+x^2)/(x-1)/(x+1) lgdogf] A047538 28.1783 [[x^3-3*x+4] ogf_with_Euler_transform] A047538 4.20687 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=7} ogf] A047538 5.9445 [-(2*f(x)+59)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-x) ogf] A047539 12.0457 [(x^3+3*x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047539 4.97695 [{(8*n+29)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-21)*a(n+4),a(0)=2,a(1)=4,a(2)=7,a(3)=10} ogf] A047539 6.5445 [-(112*f(x)-239)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-2*x-2) ogf] A047539 9.56550 [-(4+10*x+x^5+10*x^3+16*x^2+7*x^4)/(x-1)/(x^2+x+1)/(x^3+3*x^2+2*x+2) lgdogf] A047540 11.2943 [x*(x^3+3*x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047540 8.64740 [-2*(2+5*x+5*x^5+x^6+8*x^3+5*x^2+6*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+3*x^2+2*x+2) lgdogf] A047541 11.3510 [(x^3+2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A047541 11.7358 [-(2+2*x+x^5-x^3+7*x^2+5*x^4)/(x-1)/(1+x^2)/(x^3+2*x^2+1) lgdogf] A047541 5.83539 [{-a(n+4)+2*a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A047541 6.04837 [(176*f(x)+897)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A047542 10.1379 [x*(x+1)*(x^3+2*x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047542 6.59017 [-(2+6*x+11*x^5+12*x^6+10*x^7+2*x^8+11*x^3+13*x^2+13*x^4)/(x-1)/(x+1)/(x^3+2*x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A047543 10.3369 [-(4+10*x+x^5+7*x^3+19*x^2+7*x^4)/(x+3)/(x-1)/(1+x^2)/(x^2+x+1) lgdogf] A047543 12.0457 [(x+3)*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A047543 4.97695 [{(-4*n-15)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+11)*a(n+4),a(0)=3,a(1)=4,a(2)=7,a(3)=11} ogf] A047543 6.70284 [(172*f(x)-4217)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-3*x^2+f(x)-x-3) ogf] A047544 10.7614 [(x^4+3*x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047544 7.55405 [-(3+5*x+7*x^5+7*x^6+x^7+15*x^3+13*x^2+13*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+3*x^3+x^2+2*x+1) lgdogf] A047545 10.1379 [x*(x^4+3*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047545 6.52492 [-(3+5*x+15*x^5+8*x^6+10*x^7+2*x^8+11*x^3+13*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+3*x^3+x^2+2*x+1) lgdogf] A047546 10.5590 [(x^3+2*x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A047546 11.2069 [-(3-x+x^5-4*x^3+12*x^2+5*x^4)/(x-1)/(1+x^2)/(2-x+2*x^2+x^3) lgdogf] A047546 4.14819 [{(-2*n-7)*a(n+1)+(2*n+5)*a(n+2)+(-2*n-7)*a(n+3)+(2*n+5)*a(n+4),a(0)=2,a(1)=3,a(2)=4,a(3)=7} ogf] A047546 5.84925 [(40*f(x)+93)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)+x-2) ogf] A047547 6.41665 [-(3+5*x+10*x^5+8*x^6+10*x^7+2*x^8+11*x^3+13*x^2+18*x^4)/(x-1)/(x+1)/(2-x+2*x^2+x^3)/(x^4+x^3+x^2+x+1) lgdogf] A047547 9.94638 [x*(x+1)*(x^3+2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047548 6.17220 [-(2+4*x+x^9+11*x^5+9*x^6+7*x^7+7*x^8+16*x^3+6*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+3*x^4+x^3+x^2+x+1) lgdogf] A047548 7.81392 [(x^5+3*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047549 5.50398 [-2*(1+2*x+5*x^9+x^10+7*x^5+6*x^6+5*x^7+4*x^8+8*x^3+3*x^2+6*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+3*x^4+x^3+x^2+x+1) lgdogf] A047549 9.21253 [x*(x^5+3*x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047550 16.2185 [(x^2+2*x+5)/(x+1)/(x-1)^2 ogf] A047550 22.6194 [-(7+19*x+x^3+5*x^2)/(x-1)/(x+1)/(x^2+2*x+5) lgdogf] A047550 8.45581 [-(7*f(x)+117)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2*x-5) ogf] A047550 8.75513 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=7,a(2)=13} ogf] A047551 11.2375 [x*(x^3+x^2+5*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047551 8.70926 [-2*(3+4*x+2*x^5+x^6+6*x^3+5*x^2+11*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2+5*x+1) lgdogf] A047552 10.0139 [-(6+8*x+x^5+14*x^3+16*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+4*x+2) lgdogf] A047552 12.0457 [(x^3+x^2+4*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047552 4.97695 [{(-8*n-31)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+23)*a(n+4),a(0)=2,a(1)=6,a(2)=7,a(3)=10} ogf] A047552 6.34467 [-(11152*f(x)+47935)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-4*x-2) ogf] A047553 11.2943 [x*(x^3+x^2+4*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047553 8.88111 [-2*(3+4*x+2*x^5+x^6+8*x^3+5*x^2+9*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2+4*x+2) lgdogf] A047554 10.7614 [(x^4+x^3+4*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047554 7.64189 [-(2+10*x+14*x^5+3*x^6+x^7+15*x^3+9*x^2+10*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+4*x^2+x+1) lgdogf] A047555 10.1379 [x*(x^4+x^3+4*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047555 6.65674 [-(2+10*x+11*x^5+18*x^6+4*x^7+2*x^8+11*x^3+9*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+4*x^2+x+1) lgdogf] A047556 10.3369 [-(6+8*x+x^5+11*x^3+19*x^2+3*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2+3) lgdogf] A047556 12.0457 [(x+1)*(x^2+3)/(x^2+x+1)/(x-1)^2 ogf] A047556 5.03728 [{(-n-4)*a(n+1)-a(n+2)-a(n+3)+(n+3)*a(n+4),a(0)=3,a(1)=6,a(2)=7,a(3)=11} ogf] A047556 6.59644 [-(95*f(x)+381)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-3*x-3) ogf] A047557 12.6844 [x*(x^2+3)/(x^2+1)/(x-1)^2 ogf] A047557 15.6477 [-2*(3-2*x+6*x^2+x^4)/(x-1)/(x^2+3)/(1+x^2) lgdogf] A047557 4.22812 [{(2*n+7)*a(n+1)+(-2*n-5)*a(n+2)+(2*n+7)*a(n+3)+(-2*n-5)*a(n+4),a(0)=0,a(1)=3,a(2)=6,a(3)=7} ogf] A047557 6.24609 [-(40*f(x)+209)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-3*x) ogf] A047558 10.7614 [(x^4+x^3+3*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047558 7.55405 [-(3+9*x+11*x^5+3*x^6+x^7+15*x^3+9*x^2+13*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+3*x^2+2*x+1) lgdogf] A047559 10.1379 [x*(x^4+x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047559 6.59017 [-(3+9*x+15*x^5+14*x^6+4*x^7+2*x^8+11*x^3+9*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+3*x^2+2*x+1) lgdogf] A047560 6.75085 [-(3+9*x+10*x^5+14*x^6+4*x^7+2*x^8+11*x^3+9*x^2+18*x^4)/(x-1)/(1+x^2)/(x^2+x+2)/(x^4+x^3+x^2+x+1) lgdogf] A047560 8.15009 [x*(x^2+1)*(x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047561 6.05684 [-(2+4*x+x^9+11*x^5+9*x^6+11*x^7+3*x^8+10*x^3+12*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+3*x^3+x^2+x+1) lgdogf] A047561 7.81392 [(x^5+x^4+3*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047562 6.39320 [-(4+6*x+x^9+9*x^5+7*x^6+5*x^7+3*x^8+10*x^3+8*x^2+27*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x+3) lgdogf] A047562 9.67476 [(x^5+x^4+x^3+x^2+x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047563 5.58489 [-2*(2+3*x+2*x^9+x^10+13*x^5+5*x^6+4*x^7+3*x^8+5*x^3+4*x^2+6*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+x^2+x+3) lgdogf] A047563 9.08542 [x*(x^5+x^4+x^3+x^2+x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047564 7.32241 [-(3-x+x^9+3*x^5+2*x^6+2*x^7+x^8-2*x^3+6*x^2+9*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^3+x+1) lgdogf] A047564 8.73970 [(x^5+x^3+x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047565 8.56952 [x*(x+1)*(x^5+x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047566 8.02721 [-(5+7*x+5*x^5+3*x^6+x^7+27*x^3+9*x^2+7*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+4) lgdogf] A047566 8.65143 [(x^4+x^3+x^2+x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047567 10.0495 [x*(x^4+x^3+x^2+x+4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047567 6.89448 [-(5+7*x+8*x^5+6*x^6+4*x^7+2*x^8+11*x^3+9*x^2+28*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+4) lgdogf] A047568 6.17220 [-(4+6*x+x^9+19*x^5+7*x^6+5*x^7+3*x^8+10*x^3+8*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+3*x+1) lgdogf] A047568 9.62565 [(x^5+x^4+x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047569 5.45812 [-2*(2+3*x+2*x^9+x^10+7*x^5+11*x^6+4*x^7+3*x^8+5*x^3+4*x^2+6*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+x^2+3*x+1) lgdogf] A047569 9.21253 [x*(x^5+x^4+x^3+x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047570 6.58694 [-(4+6*x+x^9+14*x^5+7*x^6+5*x^7+3*x^8+10*x^3+8*x^2+22*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4+x^2+2) lgdogf] A047570 9.90729 [(x+1)*(x^4+x^2+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047571 8.90564 [-2*(2-x+2*x^6+x^8-2*x^3+4*x^2+6*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2+2) lgdogf] A047571 9.43463 [x*(x^4+x^2+2)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047572 8.73970 [(x^6+x^5+x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047573 9.21468 [x*(x^6+x^5+x^4+x^3+2*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047574 10.5708 [-(6+8*x+x^5+5*x^3+25*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+x+5) lgdogf] A047574 12.1050 [(x^3+x^2+x+5)/(x^2+x+1)/(x-1)^2 ogf] A047574 5.00147 [{(-4*n-17)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+13)*a(n+4),a(0)=5,a(1)=6,a(2)=7,a(3)=13} ogf] A047574 6.52536 [-(100*f(x)+1273)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-5) ogf] A047575 11.0811 [x*(x^3+x^2+x+5)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047575 9.05766 [-2*(3+4*x+2*x^5+x^6+14*x^3+5*x^2+3*x^4)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2+x+5) lgdogf] A047576 10.5590 [(x^4+x^3+x^2+4*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047576 7.87154 [-(5+7*x+5*x^5+3*x^6+x^7+15*x^3+9*x^2+19*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+4*x+1) lgdogf] A047577 6.79399 [-(5+7*x+23*x^5+6*x^6+4*x^7+2*x^8+11*x^3+9*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+4*x+1) lgdogf] A047577 9.94638 [x*(x^4+x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047578 11.2749 [-(5-3*x+x^5+2*x^3+10*x^2+x^4)/(x-1)/(x+1)/(1+x^2)/(x^2-x+2) lgdogf] A047578 11.8431 [(x+1)*(x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A047578 4.16924 [{(-n-4)*a(n+1)+(n+3)*a(n+2)+(-n-4)*a(n+3)+(n+3)*a(n+4),a(0)=2,a(1)=5,a(2)=6,a(3)=7} ogf] A047578 6.28594 [(6*f(x)+85)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-x-2) ogf] A047579 7.62449 [-(5+2*x+4*x^5+2*x^6+2*x^7+4*x^3+7*x^2+14*x^4)/(x-1)/(x+1)/(x^2-x+2)/(x^4+x^3+x^2+x+1) lgdogf] A047579 9.99793 [x*(x^2-x+2)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047580 6.11398 [-(2+8*x+x^9+11*x^5+15*x^6+5*x^7+3*x^8+10*x^3+8*x^2+17*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+3*x^2+x+1) lgdogf] A047580 7.81392 [(x^5+x^4+x^3+3*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047581 5.50398 [-2*(1+4*x+2*x^9+x^10+7*x^5+6*x^6+9*x^7+3*x^8+5*x^3+4*x^2+6*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+3*x^2+x+1) lgdogf] A047581 9.21253 [x*(x^5+x^4+x^3+3*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047582 10.6126 [(x^4+x^3+x^2+2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047582 7.91925 [-(5+7*x+5*x^5+3*x^6+x^7+23*x^3+9*x^2+11*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+2*x+3)/(1+x^2) lgdogf] A047583 6.68125 [-(5+7*x+13*x^5+6*x^6+4*x^7+2*x^8+11*x^3+9*x^2+23*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+2*x+3) lgdogf] A047583 8.15009 [x*(x^4+x^3+x^2+2*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047584 10.0418 [(x+1)*(x^4+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047584 6.35374 [-(3+7*x+x^9+15*x^5+11*x^6+5*x^7+3*x^8+10*x^3+8*x^2+17*x^4)/(x-1)/(x+1)/(x^4+x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A047585 7.98749 [-(3+x+5*x^5+4*x^6+2*x^8+3*x^3+3*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2+x+1) lgdogf] A047585 8.45273 [x*(x^4+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047586 6.15195 [-(3+7*x+x^9+10*x^5+11*x^6+5*x^7+3*x^8+10*x^3+8*x^2+22*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+2*x^2+x+2) lgdogf] A047586 9.62565 [(x^5+x^4+x^3+2*x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047587 5.31465 [-(3+7*x+4*x^9+2*x^10+20*x^5+11*x^6+13*x^7+6*x^8+10*x^3+8*x^2+12*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+2*x^2+x+2) lgdogf] A047587 9.08542 [x*(x^5+x^4+x^3+2*x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047588 19.7978 [x^6-x^5-x^3+x^2+2 ogf_with_Euler_transform] A047588 6.93696 [-(2+2*x+4*x^9+2*x^10+2*x^11+4*x^5+11*x^6+2*x^7+9*x^8+2*x^3+7*x^2+9*x^4)/(x-1)/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A047588 9.21468 [x*(x^2+1)*(x^2-x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047589 13.9120 [(x^2+x+6)/(x+1)/(x-1)^2 ogf] A047589 20.3022 [-(7+21*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+6) lgdogf] A047589 7.3158 [(800*f(x)+9851)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-6) ogf] A047589 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=7,a(2)=14} ogf] A047590 12.3756 [-(7+9*x+4*x^3+26*x^2+2*x^4)/(x-1)/(x^2+x+1)/(x^2+x+6) lgdogf] A047590 12.6610 [x*(x^2+x+6)/(x^2+x+1)/(x-1)^2 ogf] A047590 4.98765 [{(-8*n-29)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+21)*a(n+4),a(0)=0,a(1)=6,a(2)=7,a(3)=8} ogf] A047590 6.85803 [(656*f(x)+7967)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-6*x) ogf] A047591 10.2485 [-(6+8*x+x^5+17*x^3+13*x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+5*x+1) lgdogf] A047591 11.9863 [(x^3+x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047591 4.98227 [{(4*n+15)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-11)*a(n+4),a(0)=1,a(1)=6,a(2)=7,a(3)=9} ogf] A047591 6.36198 [-(1564*f(x)+19307)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-5*x-1) ogf] A047592 30.4720 [-x^7+x^6+2 ogf_with_Euler_transform] A047592 8.77858 [(x^4+1)*(x^2+1)*(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047593 5.02389 [-(5*x+5*x^9+3*x^10+x^11+25*x^5+11*x^6+9*x^7+7*x^8+9*x^3+7*x^2+11*x^4+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+2) lgdogf] A047593 8.78475 [(x^6+x^5+x^4+x^3+x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047594 8.45273 [x*(x^6+x^5+x^4+x^3+x^2+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047595 8.40938 [x*(x+1)*(x^5+x^4+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047596 10.5590 [(3*x^4+x^3+x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047596 7.77893 [-(3+5*x+7*x^5+5*x^6+3*x^7+25*x^3+7*x^2+9*x^4)/(x-1)/(x+1)/(3*x^4+x^3+x^2+x+2)/(1+x^2) lgdogf] A047597 6.68125 [-(3+5*x+10*x^5+8*x^6+6*x^7+6*x^8+17*x^3+7*x^2+18*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+x^3+x^2+x+2) lgdogf] A047597 9.94638 [x*(3*x^4+x^3+x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047598 12.0457 [(x+1)*(3*x^2-2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047598 5.03728 [{(2*n+7)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-5)*a(n+4),a(0)=3,a(1)=4,a(2)=5,a(3)=11} ogf] A047598 6.59644 [-(25*f(x)+244)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-x-3) ogf] A047598 9.28824 [-(4+6*x+3*x^5+7*x^3+23*x^2+5*x^4)/(x-1)/(x+1)/(x^2+x+1)/(3*x^2-2*x+3) lgdogf] A047599 11.2943 [x*(3*x^2-2*x+3)/(x^2+1)/(x-1)^2 ogf] A047599 13.1440 [-2*(x^2-x+2)*(3*x^2+1)/(x-1)/(1+x^2)/(3*x^2-2*x+3) lgdogf] A047599 4.22812 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=3,a(2)=4,a(3)=5} ogf] A047599 6.15286 [(2*f(x)+25)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x+2*x^2+f(x)-3*x) ogf] A047600 10.7614 [(3*x^4+x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047600 7.46821 [-(3+5*x+7*x^5+5*x^6+3*x^7+21*x^3+7*x^2+13*x^4)/(x-1)/(x+1)/(1+x^2)/(3*x^4+x^3+x^2+2*x+1) lgdogf] A047601 6.65674 [-(3+5*x+15*x^5+8*x^6+6*x^7+6*x^8+17*x^3+7*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+x^3+x^2+2*x+1) lgdogf] A047601 8.28575 [x*(3*x^4+x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047602 5.36864 [-2*(1+2*x+3*x^9+3*x^10+7*x^5+6*x^6+5*x^7+4*x^8+4*x^3+3*x^2+10*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(3*x^5+x^4+x^3+x^2+x+1) lgdogf] A047602 9.21253 [x*(3*x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A047603 6.11398 [-(2+4*x+3*x^9+11*x^5+9*x^6+7*x^7+5*x^8+8*x^3+6*x^2+25*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^5+x^4+x^3+x^2+x+1) lgdogf] A047603 9.52744 [(3*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047604 11.9863 [(x+1)*(3*x^2-x+2)/(x^2+x+1)/(x-1)^2 ogf] A047604 4.98227 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=2,a(1)=3,a(2)=5,a(3)=10} ogf] A047604 6.66982 [(428*f(x)+8887)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-x-2) ogf] A047604 9.50681 [-(3+7*x+3*x^5+8*x^3+20*x^2+7*x^4)/(x-1)/(x+1)/(x^2+x+1)/(3*x^2-x+2) lgdogf] A047605 11.2375 [x*(3*x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A047605 13.0639 [-(3+x-3*x^3+9*x^2+6*x^4)/(x-1)/(1+x^2)/(3*x^2-x+2) lgdogf] A047605 4.16416 [{(4*n+11)*a(n+1)+(-4*n-7)*a(n+2)+(4*n+11)*a(n+3)+(-4*n-7)*a(n+4),a(0)=0,a(1)=2,a(2)=3,a(3)=5} ogf] A047605 5.81802 [-(144*f(x)+167)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x+x^2+f(x)-2*x) ogf] A047606 10.7076 [(3*x^4+2*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047606 7.42267 [-(2+4*x+8*x^5+7*x^6+3*x^7+21*x^3+9*x^2+10*x^4)/(x-1)/(x+1)/(1+x^2)/(3*x^4+2*x^3+x^2+x+1) lgdogf] A047607 6.65674 [-(2+4*x+11*x^5+9*x^6+9*x^7+6*x^8+17*x^3+9*x^2+13*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+2*x^3+x^2+x+1) lgdogf] A047607 8.28575 [x*(3*x^4+2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047608 13.9120 [(3*x^2+x+4)/(x+1)/(x-1)^2 ogf] A047608 18.4976 [-(5+19*x+3*x^3+5*x^2)/(x-1)/(x+1)/(3*x^2+x+4) lgdogf] A047608 6.956 [-(4448*f(x)+44065)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-x-4) ogf] A047608 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=12} ogf] A047609 11.7126 [-(5+11*x+6*x^3+20*x^2+6*x^4)/(x-1)/(x^2+x+1)/(3*x^2+x+4) lgdogf] A047609 12.6610 [x*(3*x^2+x+4)/(x^2+x+1)/(x-1)^2 ogf] A047609 4.98765 [{(8*n+25)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-17)*a(n+4),a(0)=0,a(1)=4,a(2)=5,a(3)=8} ogf] A047609 6.7456 [(9584*f(x)+29081)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-4*x) ogf] A047610 11.9863 [(3*x+1)*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A047610 5.01247 [{(-4*n-13)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+9)*a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=9} ogf] A047610 6.61646 [(2084*f(x)+6481)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-3*x-1) ogf] A047610 9.93797 [-(4+6*x+3*x^5+13*x^3+17*x^2+5*x^4)/(x-1)/(3*x+1)/(1+x^2)/(x^2+x+1) lgdogf] A047611 12.0457 [(3*x^3+x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047611 4.97695 [{(-8*n-27)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+19)*a(n+4),a(0)=2,a(1)=4,a(2)=5,a(3)=10} ogf] A047611 6.29661 [-(30288*f(x)+202091)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-x^2+f(x)-2*x-2) ogf] A047611 9.42483 [-(4+6*x+3*x^5+10*x^3+20*x^2+5*x^4)/(x-1)/(x^2+x+1)/(3*x^3+x^2+2*x+2) lgdogf] A047612 11.2943 [x*(3*x^3+x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047612 8.42567 [-2*(2+3*x+3*x^5+3*x^6+8*x^3+7*x^2+6*x^4)/(x-1)/(x+1)/(1+x^2)/(3*x^3+x^2+2*x+2) lgdogf] A047613 10.7614 [(3*x^4+x^3+2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047613 7.38429 [-(2+6*x+10*x^5+5*x^6+3*x^7+21*x^3+7*x^2+10*x^4)/(x-1)/(x+1)/(1+x^2)/(3*x^4+x^3+2*x^2+x+1) lgdogf] A047614 7.32241 [-(x+1)*(6*x^7+12*x^5-x^4+14*x^3+3*x^2+4*x+2)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+x^3+2*x^2+x+1) lgdogf] A047614 8.28575 [x*(3*x^4+x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A047615 15.0225 [x*(3*x+5)/(x+1)/(x-1)^2 ogf] A047615 23.4459 [-2*(4+9*x+3*x^2)/(3*x+5)/(x-1)/(x+1) lgdogf] A047615 7.71426 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=8} ogf] A047615 8.31343 [-f(x)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-5*x) ogf] A047616 10.9831 [-(5+11*x+15*x^3+11*x^2+6*x^4)/(x-1)/(3*x+1)/(x+1)/(x^2+x+1) lgdogf] A047616 12.5350 [x*(x+1)*(3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047616 4.96813 [{(-4*n-11)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+7)*a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=8} ogf] A047616 6.62418 [-(76*f(x)+7579)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-4*x^2+f(x)-x) ogf] A047617 14.1711 [(3*x^2+3*x+2)/(x+1)/(x-1)^2 ogf] A047617 18.0453 [-(5+15*x+3*x^3+9*x^2)/(x-1)/(x+1)/(3*x^2+3*x+2) lgdogf] A047617 7.26418 [-(96*f(x)-1067)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-3*x-2) ogf] A047617 7.64989 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=10} ogf] A047618 11.0501 [-(5+11*x+12*x^3+14*x^2+6*x^4)/(x-1)/(x^2+x+1)/(3*x^2+3*x+2) lgdogf] A047618 13.2068 [x*(3*x^2+3*x+2)/(x^2+x+1)/(x-1)^2 ogf] A047618 5.20268 [{(8*n+23)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-15)*a(n+4),a(0)=0,a(1)=2,a(2)=5,a(3)=8} ogf] A047618 7.09458 [(1264*f(x)-1239)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-3*x^2+f(x)-2*x) ogf] A047619 10.0301 [-(2+8*x+3*x^5+9*x^3+17*x^2+9*x^4)/(x-1)/(x+1)/(x^2+x+1)/(3*x^2+1) lgdogf] A047619 11.9270 [(x+1)*(3*x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A047619 5.01806 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=9} ogf] A047619 6.53145 [-(89*f(x)-997)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-3*x^2+f(x)-x-1) ogf] A047620 12.5569 [x*(3*x^2+1)/(x^2+1)/(x-1)^2 ogf] A047620 14.1128 [-2*(1+2*x+2*x^2+3*x^4)/(x-1)/(3*x^2+1)/(1+x^2) lgdogf] A047620 4.18563 [{(2*n+5)*a(n+1)+(-2*n-3)*a(n+2)+(2*n+5)*a(n+3)+(-2*n-3)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A047620 6.42675 [(32*f(x)+43)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x+f(x)-x) ogf] A047621 13.8454 [(3*x^2+2*x+3)/(x+1)/(x-1)^2 ogf] A047621 18.0072 [-(3*x+1)*(x^2+2*x+5)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A047621 7.28079 [-(5*f(x)+76)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-2*x-3) ogf] A047621 7.47409 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=5,a(2)=11} ogf] A047622 11.2406 [-(5+11*x+9*x^3+17*x^2+6*x^4)/(x-1)/(x^2+x+1)/(3*x^2+2*x+3) lgdogf] A047622 12.5980 [x*(3*x^2+2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A047622 5.02373 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=3,a(2)=5,a(3)=8} ogf] A047622 6.76751 [-(23*f(x)+25)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-3*x) ogf] A047623 11.9270 [(3*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A047623 4.95760 [{(-8*n-25)*a(n+1)-8*a(n+2)-8*a(n+3)+(8*n+17)*a(n+4),a(0)=1,a(1)=3,a(2)=5,a(3)=9} ogf] A047623 6.6368 [(112*f(x)+1369)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-2*x-1) ogf] A047623 9.31364 [-(3+7*x+3*x^5+11*x^3+17*x^2+7*x^4)/(x-1)/(x^2+x+1)/(2*x+1+3*x^3+2*x^2) lgdogf] A047624 11.1808 [x*(3*x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A047624 8.01466 [-(3+7*x+9*x^5+6*x^6+12*x^3+14*x^2+13*x^4)/(x-1)/(x+1)/(1+x^2)/(2*x+1+3*x^3+2*x^2) lgdogf] A047626 99.9999 Evaluated at exp(-Pi) 45/32*Pi^(7/2)/GAMMA(3/4)^14 A047635 4.93527 [-(f(x)-1)^3 ogf] A047636 2.76425 [-(f(x)-1)^3 ogf] A047637 2.83513 [-(f(x)-1)^3 ogf] A047657 11.8825 [-1/6*(1-4*x)^(1/2)+2/3*(1-4*x)^(1/2)*x+1/6 revegf] A047657 15.2869 [6*f(x)^3*x-f(x)^3+1 egf] A047657 49.9066 [-2/(6*x-1) lgdegf] A047657 5.79724 [{(-6*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A047659 5.94127 [-4*x^4*(9*x^4+35*x^3+49*x^2+21*x+6)/(x+1)^2/(x-1)^7 ogf] A047659 7.62714 [-(51+257*x+45*x^5+554*x^3+518*x^2+255*x^4)/(x-1)/(x+1)/(9*x^4+35*x^3+49*x^2+21*x+6) lgdogf] A047661 12.6525 [-2*(15+10*x+2*x^3+20*x^2+x^4)/(x-1)/(x^4+10*x^2+5) lgdogf] A047661 6.94869 [(x^4+10*x^2+5)/(x-1)^6 ogf] A047663 12.9120 [-(21+20*x+12*x^3+50*x^2+9*x^4)/(x-1)/(x^2+3)/(3*x^2+1) lgdogf] A047663 6.96913 [-2*(x^2+3)*(3*x^2+1)/(x-1)^7 ogf] A047664 5.46560 [(x^6+21*x^4+35*x^2+7)/(x-1)^8 ogf] A047664 8.92623 [-2*(28+35*x+3*x^5+x^6+42*x^3+105*x^2+42*x^4)/(x-1)/(x^6+21*x^4+35*x^2+7) lgdogf] A047665 5.24474 [f(x)^2*x^4-8*x^3*f(x)^2+14*f(x)^2*x^2-f(x)*x^3-8*f(x)^2*x+7*f(x)*x^2+f(x)^2-7*f(x)*x+f(x)-x ogf] A047667 10.4066 [(3*x^2-2*x+3)/(x-1)^4 ogf] A047667 21.9814 [-2*(5+3*x^2)/(x-1)/(3*x^2-2*x+3) lgdogf] A047667 5.48136 [(52*f(x)+51)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+2*x-3) ogf] A047668 13.6736 [-(x^2+1)*(x^2+2*x+17)/(x-1)/(x^4-x^3+7*x^2-3*x+4) lgdogf] A047668 7.20120 [-(x^4-x^3+7*x^2-3*x+4)/(x-1)^5 ogf] A047669 10.4655 [-2*(13+4*x+4*x^3+22*x^2+5*x^4)/(x-1)/(5*x^4-4*x^3+14*x^2-4*x+5) lgdogf] A047669 6.41011 [(5*x^4-4*x^3+14*x^2-4*x+5)/(x-1)^6 ogf] A047670 5.93377 [-(x^6-x^5+16*x^4-10*x^3+25*x^2-5*x+6)/(x-1)^7 ogf] A047670 8.26006 [-(37+20*x+4*x^5+x^6+24*x^3+95*x^2+43*x^4)/(x-1)/(x^6-x^5+16*x^4-10*x^3+25*x^2-5*x+6) lgdogf] A047672 14.6742 [-2*(5+12*x+x^3+6*x^2)/(x-1)/(2*x^3+3*x^2+6*x+1) lgdogf] A047672 3.84770 [{(-5*n^2-21*n-22)*a(n+1)+(-2*n^2-52*n-116)*a(n+2)+(7*n^2+37*n+48)*a(n+3),a(0)=1,a(1)=10,a(2)=37} ogf] A047672 4.95865 [(584*f(x)+1513)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-3*x^2+f(x)-6*x-1) ogf] A047672 9.14453 [(2*x^3+3*x^2+6*x+1)/(x-1)^4 ogf] A047673 11.6952 [-(13+44*x+20*x^3+42*x^2+x^4)/(x-1)/(x^4+8*x^3+6*x^2+8*x+1) lgdogf] A047673 7.28746 [-(x^4+8*x^3+6*x^2+8*x+1)/(x-1)^5 ogf] A047674 5.82640 [(2*x^5+5*x^4+20*x^3+10*x^2+10*x+1)/(x-1)^6 ogf] A047674 8.52509 [-2*(8+35*x+x^5+40*x^3+50*x^2+10*x^4)/(x-1)/(2*x^5+5*x^4+20*x^3+10*x^2+10*x+1) lgdogf] A047677 6.75839 [{(n^2+5*n+6)*a(n+1)-a(n+2),a(0)=2,a(1)=4} ogf] A047700 4.92541 [-(x^22-x^21+x^8-x^7+x^6-x^5+x^4+x^3+2*x-5)/(x-1)^2 ogf] A047707 5.64214 [-2*x^3*(36*x^2-4*x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A047732 10.0724 [-(x^3-2*x^2-1)/(x-1)^4 ogf] A047732 19.4712 [-(-4-4*x+x^3-x^2)/(x-1)/(x^3-2*x^2-1) lgdogf] A047732 3.89041 [{(-35*n^2-241*n-342)*a(n+1)+(62*n^2+322*n+276)*a(n+2)+(-27*n^2-105*n-72)*a(n+3),a(0)=1,a(1)=4,a(2)=12} ogf] A047732 5.88047 [(1952*f(x)+8941)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-2*x^2+f(x)-1) ogf] A047749 12.7287 [-1+3*f(x)-2*f(x)^2+f(x)^3*x ogf] A047749 27.4487 [-1/2*(-3+(4*x+1)^(1/2))*x revogf] A047750 13.8943 [-1/2*(-5-6*x-x^2+((1+6*x+x^2)*(3+x)^2)^(1/2))*x revogf] A047750 9.13198 [-x^2*f(x)^3-6*f(x)^2*x+4*f(x)^2-5*f(x)+1 ogf] A047764 8.1109 [-x^2+3*f(x)*x-2*f(x)^2+x^5*f(x)^3 ogf] A047780 10.9458 [-2*(5+17*x+36*x^3+44*x^2+3*x^4)/(x-1)/(2*x^4+16*x^3+8*x^2+3*x+1) lgdogf] A047780 6.02403 [-x*(2*x^4+16*x^3+8*x^2+3*x+1)/(x-1)^7 ogf] A047781 3.40946 [{(n^2+n)*a(n)+(-7*n^2-13*n-6)*a(n+1)+(7*n^2+29*n+30)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A047781 6.385 [2*f(x)^2*x^2-12*f(x)^2*x+f(x)*x^2+2*f(x)^2-6*f(x)*x+f(x)-x ogf] A047781 9.49062 [-1/2*(4*(8*x^2+4*x+1)^(1/2)*x+(8*x^2+4*x+1)^(1/2)-1-6*x-12*x^2)/x/(2*x+1) revogf] A047786 12.7885 [-(29+104*x+2*x^3+45*x^2)/(x-1)/(x^3+14*x^2+19*x+2) lgdogf] A047786 3.87378 [{(-436*n^2-1359*n-974)*a(n+1)+(6425*n^2+45320*n+93734)*a(n+2)+(-5989*n^2-21749*n-19542)*a(n+3),a(0)=0,a(1)=6,a(2)=87} ogf] A047786 8.45568 [-3*x*(x^3+14*x^2+19*x+2)/(x-1)^5 ogf] A047790 13.8128 [-(-6+24*x+8*x^3-27*x^2)/(x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A047790 15.7277 [x^3/(2*x-1)/(x-1)/(x^2-3*x+1) ogf] A047790 7.86383 [-2*f(x)*x^4+9*f(x)*x^3-12*f(x)*x^2+x^3+6*f(x)*x-f(x) ogf] A047810 3.13832 [4*x*(x+1)/(x-1)^4 ogf] A047810 9.50600 [[5-x] ogf_with_Euler_transform] A047810 9.77457 [-(5+3*x)/(x-1)/(x+1) lgdogf] A047819 10.5974 [-2*(10+65*x+37*x^3+95*x^2+3*x^4)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A047819 3.85722 [{(-n^2-13*n-42)*a(n+1)+(2*n^2+20*n+72)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=20,a(2)=175} ogf] A047819 4.64910 [(x^4+10*x^3+20*x^2+10*x+1)/(x-1)^10 ogf] A047835 3.13277 [{(n^3+24*n^2+191*n+504)*a(n+1)+(20*n^2+240*n+820)*a(n+2)+(-n^3-12*n^2-47*n-60)*a(n+3),a(0)=1,a(1)=70,a(2)=1764} ogf] A047838 11.6819 [(x^3-x^2-x-1)/(x+1)/(x-1)^3 ogf] A047838 15.8050 [-(x^2+2*x+3)*(x^2-2*x-1)/(x-1)/(x+1)/(x^3-x^2-x-1) lgdogf] A047838 6.71711 [(7*f(x)-37)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)+x+1) ogf] A047849 14.7275 [-1/2*(-1-5*x+(1-2*x+9*x^2)^(1/2))/(3+4*x) revogf] A047849 15.8902 [-2*(1-4*x+6*x^2)/(x-1)/(3*x-1)/(4*x-1) lgdogf] A047849 16.2905 [-(3*x-1)/(4*x-1)/(x-1) ogf] A047849 8.23676 [-(5*f(x)-1)*(4*f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A047849 8.93990 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A047850 14.0052 [-(4*x-1)/(5*x-1)/(x-1) ogf] A047850 14.7069 [-1/2*(-1-6*x+(1-4*x+16*x^2)^(1/2))/(5*x+4) revogf] A047850 15.8382 [-2*(1-5*x+10*x^2)/(x-1)/(4*x-1)/(5*x-1) lgdogf] A047850 6.92565 [-(29*f(x)-13)*(5*f(x)*x^2-6*f(x)*x+f(x)+4*x-1) ogf] A047850 7.68577 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=1,a(1)=2} ogf] A047851 12.4487 [-(5*x-1)/(6*x-1)/(x-1) ogf] A047851 13.0479 [-1/2*(-1-7*x+(1-6*x+25*x^2)^(1/2))/(5+6*x) revogf] A047851 14.0516 [-2*(1-6*x+15*x^2)/(x-1)/(6*x-1)/(5*x-1) lgdogf] A047851 6.29429 [-(5*f(x)-3)*(6*f(x)*x^2-7*f(x)*x+f(x)+5*x-1) ogf] A047851 6.83161 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=1,a(1)=2} ogf] A047852 11.9164 [-(6*x-1)/(x-1)/(7*x-1) ogf] A047852 12.4822 [-1/2*(-1-8*x+(1-8*x+36*x^2)^(1/2))/(6+7*x) revogf] A047852 13.4424 [-2*(1-7*x+21*x^2)/(x-1)/(6*x-1)/(7*x-1) lgdogf] A047852 5.8927 [-(53*f(x)-37)*(7*f(x)*x^2-8*f(x)*x+f(x)+6*x-1) ogf] A047852 6.53946 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=1,a(1)=2} ogf] A047853 14.0724 [-(7*x-1)/(8*x-1)/(x-1) ogf] A047853 14.4438 [-1/2*(-1-9*x+(1-10*x+49*x^2)^(1/2))/(7+8*x) revogf] A047853 15.9252 [-2*(1-8*x+28*x^2)/(x-1)/(8*x-1)/(7*x-1) lgdogf] A047853 6.95891 [-(17*f(x)-13)*(8*f(x)*x^2-9*f(x)*x+f(x)+7*x-1) ogf] A047853 7.72268 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=1,a(1)=2} ogf] A047854 10.0535 [-(8*x-1)/(x-1)/(9*x-1) ogf] A047854 10.2477 [-1/2*(-1-10*x+(1-12*x+64*x^2)^(1/2))/(8+9*x) revogf] A047854 11.5615 [-2*(1-9*x+36*x^2)/(x-1)/(8*x-1)/(9*x-1) lgdogf] A047854 5.02673 [-(85*f(x)-69)*(9*f(x)*x^2-10*f(x)*x+f(x)+8*x-1) ogf] A047854 5.57180 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=1,a(1)=2} ogf] A047855 15.2226 [-(9*x-1)/(10*x-1)/(x-1) ogf] A047855 15.6285 [-1/2*(-1-11*x+(1-14*x+81*x^2)^(1/2))/(9+10*x) revogf] A047855 17.1533 [-2*(1-10*x+45*x^2)/(x-1)/(9*x-1)/(10*x-1) lgdogf] A047855 7.69315 [-(13*f(x)-11)*(10*f(x)*x^2-11*f(x)*x+f(x)+9*x-1) ogf] A047855 8.51740 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=2} ogf] A047856 10.3210 [-2*(1-11*x+55*x^2)/(x-1)/(10*x-1)/(11*x-1) lgdogf] A047856 4.83494 [-(f(x)+1)*(11*f(x)*x^2-12*f(x)*x+f(x)+10*x-1) ogf] A047856 5.29540 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=1,a(1)=2} ogf] A047856 9.22300 [-1/2*(-1-12*x+(1-16*x+100*x^2)^(1/2))/(10+11*x) revogf] A047856 9.26696 [-(10*x-1)/(11*x-1)/(x-1) ogf] A047859 13.1244 [(x^2+x-1)/(x-1)/(2*x-1)^2 ogf] A047859 14.3671 [-(4-10*x+2*x^3+5*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A047859 7.02268 [(16*f(x)+543)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-x^2-f(x)-x+1) ogf] A047859 7.08483 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A047860 11.5788 [(3*x^2-1)/(x-1)/(2*x-1)^2 ogf] A047860 14.3671 [-(5-12*x+6*x^3+3*x^2)/(x-1)/(2*x-1)/(3*x^2-1) lgdogf] A047860 5.84063 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A047860 5.99991 [(36*f(x)+965)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-3*x^2-f(x)+1) ogf] A047861 13.1244 [(5*x^2-x-1)/(x-1)/(2*x-1)^2 ogf] A047861 14.0548 [-(6-14*x+10*x^3+x^2)/(x-1)/(2*x-1)/(5*x^2-x-1) lgdogf] A047861 6.84261 [(416*f(x)+14763)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-5*x^2-f(x)+x+1) ogf] A047861 7.08483 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=6,a(2)=17} ogf] A047862 12.5538 [(7*x^2-2*x-1)/(x-1)/(2*x-1)^2 ogf] A047862 12.7734 [-(7-16*x+14*x^3-x^2)/(x-1)/(2*x-1)/(7*x^2-2*x-1) lgdogf] A047862 6.65895 [(55*f(x)+2601)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-7*x^2-f(x)+2*x+1) ogf] A047862 6.77681 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=7,a(2)=20} ogf] A047865 4.25953 [{(-n-5)*a(n+5)+(n+4)*a(n+4)+a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=1/4} egf] A047865 44.9420 [x^3+(-1+x)*f(x) lgdegf] A047866 6.06589 [x*(3*x^6-2*x^5+3*x^4-x^3+2*x^2+1)/(x^4+1)/(x^2+1)/(x+1)/(x-1)^4 ogf] A047876 4.83127 [2*x*(x^13+x^11-x^9-2*x^8-4*x^7-x^6+x^5+2*x^4-4*x^2-4*x-3)/(x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A047877 4.57429 [x*(x^13+x^11-x^9-2*x^8-4*x^7-x^6+x^5+2*x^4-4*x^2-4*x-3)/(x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A047878 10.0845 [x*(2*x^4-2*x^3-x^2-x+3)/(x^2+x+1)/(x-1)^2 ogf] A047878 13.8623 [2*(-1-x^3-2*x^2+x^4)/(x-1)/(x^2+x+1)/(2*x^4-2*x^3-x^2-x+3) lgdogf] A047879 4.39410 [2*x*(x^10+3*x^9-x^8-4*x^7-5*x^6-4*x^5-2*x^3-4*x^2-5*x-5)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A047880 4.57717 [x*(x^10+3*x^9-x^8-4*x^7-5*x^6-4*x^5-2*x^3-4*x^2-5*x-5)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A047881 4.56125 [-2*x*(x^10+3*x^9-x^8-4*x^7-5*x^6-4*x^5-2*x^3-4*x^2-5*x-5)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A047882 4.82361 [-x*(x^10+3*x^9-x^8-4*x^7-5*x^6-4*x^5-2*x^3-4*x^2-5*x-5)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A047883 5.44275 [x*(2*x^5-2*x^4-4*x^3+4*x^2+5*x+2)/(x-1)^2 ogf] A047883 5.89311 [(-9-13*x+6*x^5+4*x^3+12*x^2-14*x^4)/(x-1)/(2*x^5-2*x^4-4*x^3+4*x^2+5*x+2) lgdogf] A047891 10.2407 [-1/2*(-2*x-1+(1-8*x+4*x^2)^(1/2))/(1-8*x+4*x^2)^(1/2)/x lgdogf] A047891 35.2023 [-x*(x-1)/(2*x+1) revogf] A047891 9.75279 [-f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A047900 11.8075 [-10*f(x)*x+f(x)+16*x-8 ogf] A047900 14.2295 [8*(2*x-1)/(10*x-1) ogf] A047900 14.2997 [1/4+5/16*x-1/16*(16+24*x+25*x^2)^(1/2) revogf] A047900 28.5995 [8/(10*x-1)/(-1+2*x) lgdogf] A047900 7.49934 [{a(n+2)-10*a(n+1),a(0)=8,a(1)=64} ogf] A047903 4.15888 [-13*(46126080*x^7-1467648*x^6-235872*x^5-22176*x^4-3636*x^3-972*x^2+4*x+1)/(1000*x^2-1) ogf] A047915 13.2727 [-(11*x^2-11*x+6)/(x-1)^3 ogf] A047915 24.8695 [-(7+11*x^2)/(x-1)/(11*x^2-11*x+6) lgdogf] A047915 6.85393 [-(324*f(x)-1405)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)-11*x+6) ogf] A047915 7.39981 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=7,a(2)=14} ogf] A047926 12.9346 [(2*x-1)/(3*x-1)/(x-1)^2 ogf] A047926 17.2398 [-(3-11*x+12*x^2)/(x-1)/(3*x-1)/(-1+2*x) lgdogf] A047926 6.12085 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A047926 6.34754 [-(61*f(x)+3)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)-2*x+1) ogf] A047927 28.2635 [-4*(2+3*x)/(3*x+1)/(x-1) lgdogf] A047927 4.56167 [{(-2-n)*a(n+3)+(6-2*n)*a(n+2)+(12+3*n)*a(n+1),a(0)=0,a(1)=6,a(2)=48} ogf] A047927 9.06332 [-6*x*(3*x+1)/(x-1)^5 ogf] A047928 31.1507 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A047928 32.8420 [[6-x] ogf_with_Euler_transform] A047928 5.15411 [{(n+2)*a(n+3)-6*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=12,a(2)=72} ogf] A047928 9.03643 [-12*x*(x+1)/(x-1)^5 ogf] A047929 34.4406 [-4*(x+4)/(x+3)/(x-1) lgdogf] A047929 4.60067 [{(6+3*n)*a(n+3)+(-18-2*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=18,a(2)=96} ogf] A047929 9.20134 [-6*x*(x+3)/(x-1)^5 ogf] A047946 10.3198 [-(2*x^2+4*x-3)/(x+1)/(x^2-3*x+1) ogf] A047946 10.4461 [-(2+8*x+8*x^3-13*x^2+2*x^4)/(x+1)/(x^2-3*x+1)/(2*x^2+4*x-3) lgdogf] A047946 5.62058 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=2,a(2)=8} ogf] A047946 6.83197 [-(7*f(x)-9)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+4*x-3) ogf] A047974 138.975 [2*x+1 lgdegf] A047974 7.17823 [{(-2*n-4)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=3} ogf] A047992 7.56573 [-(f(x)-2)*(f(x)*x^2+x^3+f(x)*x+3*x^2-f(x)+3*x+2) ogf] A048052 3.87592 [(f(x)*x-f(x)+2)^2 ogf] A048058 11.5458 [-(11*x^2-20*x+11)/(x-1)^3 ogf] A048058 18.0903 [-(13-18*x+11*x^2)/(x-1)/(11*x^2-20*x+11) lgdogf] A048058 6.15773 [-(f(x)+144)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)-20*x+11) ogf] A048058 6.42546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=13,a(2)=17} ogf] A048162 10.4141 [-(x+1)*(3*x^4-x^3-2*x^2+2*x-1)/(x-1)/(x^2+x-1) ogf] A048162 8.00147 [(-1-24*x^5+2*x^6+6*x^7+18*x^3-6*x^2+3*x^4)/(x-1)/(x+1)/(x^2+x-1)/(3*x^4-x^3-2*x^2+2*x-1) lgdogf] A048172 24.0463 [(-x^2+ln(x+1)*x+ln(x+1))/(x+1) revegf] A048173 5.43523 [-exp(x)-exp(-x)+x+2 revegf] A048260 10.1125 [(15-13*x+7*x^9+8*x^7-15*x^8-5*x^3+3*x^2+2*x^4)/(x-1)/(x^9-x^8+x^4-x^3+2*x^2+9*x-12) lgdogf] A048260 9.83583 [-2*(x^9-x^8+x^4-x^3+2*x^2+9*x-12)/(x-1)^2 ogf] A048268 5.0887 [(6574768*f(x)-43555268437)*(f(x)*x^3+19*x^4-3*f(x)*x^2-6684*x^3+3*f(x)*x+19945*x^2-f(x)-19919*x+6643) ogf] A048268 5.32460 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=6643,a(1)=10,a(2)=46,a(3)=67,a(4)=92} ogf] A048268 8.73928 [-(19*x^4-6684*x^3+19945*x^2-19919*x+6643)/(x-1)^3 ogf] A048268 9.98354 [(-10-52*x-76*x^3+107*x^2+19*x^4)/(x-1)/(19*x^4-6684*x^3+19945*x^2-19919*x+6643) lgdogf] A048269 6.08646 [(81*x^10-259*x^8+14*x^7+283*x^6-46*x^5-106*x^4+54*x^3-6*x^2-26*x-5)/(x-1)^3/(x+1)^3 ogf] A048271 14.3625 [-(7*x^5-2*x^4-3*x^3+x^2+7*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A048271 9.38797 [-(8+2*x-4*x^9+7*x^10-50*x^5+32*x^6+10*x^7-7*x^8-2*x^3-10*x^2+36*x^4)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(7*x^5-2*x^4-3*x^3+x^2+7*x+1) lgdogf] A048287 48.4137 [-ln(1-x+x^2) revegf] A048305 5.00869 [x*(7*x^15+8*x^13+8*x^12+8*x^11+8*x^10+8*x^9+8*x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A048306 4.49705 [x*(8*x^17+9*x^15+9*x^14+9*x^13+9*x^12+9*x^11+9*x^10+9*x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A048328 12.2158 [3*f(x)*x^4-4*f(x)*x^2-2*x^2+f(x)-x ogf] A048328 12.2690 [-2*(-1-4*x+6*x^3-4*x^2+9*x^4)/(x-1)/(2*x+1)/(x+1)/(3*x^2-1) lgdogf] A048328 13.8608 [x*(2*x+1)/(x-1)/(x+1)/(3*x^2-1) ogf] A048329 12.0458 [x*(3*x^2+2*x+1)/(x-1)/(4*x^3-1)/(x^2+x+1) ogf] A048329 7.95473 [-(-2-6*x+24*x^5+40*x^6+48*x^7-20*x^3-15*x^2-15*x^4)/(x-1)/(3*x^2+2*x+1)/(4*x^3-1)/(x^2+x+1) lgdogf] A048330 11.0869 [x*(4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(5*x^4-1) ogf] A048330 6.07947 [-2*(-1-3*x+45*x^9+50*x^10-18*x^5-12*x^6+20*x^7+35*x^8-12*x^3-6*x^2-18*x^4)/(x-1)/(x+1)/(x^2+1)/(4*x^3+3*x^2+2*x+1)/(5*x^4-1) lgdogf] A048331 9.67960 [x*(5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(6*x^5-1) ogf] A048332 8.93245 [x*(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^6-1) ogf] A048333 8.43115 [x*(7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(8*x^7-1) ogf] A048334 7.55078 [x*(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(3*x^4-1)/(3*x^4+1)/(x^4+1) ogf] A048335 6.45472 [x*(10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(11*x^10-1) ogf] A048336 6.05922 [x*(11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(12*x^11-1) ogf] A048345 13.3687 [1/10*(-5+(25+320*x+10*x^2)^(1/2))/(32+x) revogf] A048345 14.4527 [-4*(8+5*x+80*x^2)/(32*x+1)/(10*x^2-1) lgdogf] A048345 3.25762 [-10*x*(15210000000*x^16+480000000*x^15+108160*x^3+3380*x^2+5408*x+169)/(150000000*x^16-480000000*x^15+33800*x^4-1690*x^2-169) ogf] A048345 7.70584 [-f(x)*(10*f(x)*x^2+320*x^2-f(x)+10*x) ogf] A048355 6.14126 [-x*(2250*x^4+535*x^2+200*x+24)/(10*x^2-1) ogf] A048365 10.1036 [-5*(1+32*x+20*x^3+156*x^2+160*x^4)/(10*x^3-1)/(80*x^2+5*x+26) lgdogf] A048365 11.2242 [-(160*x^4+52*x^2+1)/(10*x^3-1) ogf] A048365 5.71234 [{a(n+5)-10*a(n+2),a(0)=1,a(1)=0,a(2)=52,a(3)=10,a(4)=160} ogf] A048365 6.27238 [-(79163907*f(x)+349294592)*(10*f(x)*x^3+160*x^4+52*x^2-f(x)+1) ogf] A048379 6.39962 [-(10*x^20-20*x^10+9*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A048395 21.0766 [-2*(13+10*x+x^2)/(x+5)/(x-1)/(x+1) lgdogf] A048395 5.0522 [(316656*f(x)+1192975)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-6*x^2+f(x)-5*x) ogf] A048395 9.96600 [x*(x+5)*(x+1)/(x-1)^4 ogf] A048396 12.2786 [-(35+119*x+9*x^3+77*x^2)/(x-1)/(x+1)/(3*x^2+14*x+3) lgdogf] A048396 4.29718 [{(-4*n^2-19*n-21)*a(n+1)+(8*n^2+40*n+137)*a(n+2)+(-4*n^2-21*n-26)*a(n+3),a(0)=0,a(1)=27,a(2)=315} ogf] A048396 7.41872 [9*x*(x+1)*(3*x^2+14*x+3)/(x-1)^6 ogf] A048397 4.04835 [x*(x+1)*(x^5+127*x^4+2014*x^3+5786*x^2+2033*x+119)/(x-1)^8 ogf] A048397 5.57729 [-2*(1552+15351*x+195*x^5+x^6+23782*x^3+35157*x^2+4602*x^4)/(x-1)/(x+1)/(x^5+127*x^4+2014*x^3+5786*x^2+2033*x+119) lgdogf] A048437 5.52187 [(760*x^5-1380*x^4+500*x^3+100*x^2+20*x-1)/(25*x-1)/(x-1)^2 ogf] A048438 4.98341 [(9300*x^6-17070*x^5+6480*x^4+1080*x^3+180*x^2+30*x-1)/(36*x-1)/(x-1)^2 ogf] A048439 4.41453 [(137214*x^7-254856*x^6+100842*x^5+14406*x^4+2058*x^3+294*x^2+42*x-1)/(49*x-1)/(x-1)^2 ogf] A048440 3.91992 [(2396688*x^8-4493832*x^7+1835008*x^6+229376*x^5+28672*x^4+3584*x^3+448*x^2+56*x-1)/(64*x-1)/(x-1)^2 ogf] A048442 7.10026 [169-858*x+1089*x^2+(-26+378*x+726*x^3-1078*x^2)*f(x)+(121*x^4+166*x^2+1-24*x-264*x^3)*f(x)^2 lgdogf] A048443 5.97107 [196-1008*x+1296*x^2+(-28+436*x+864*x^3-1272*x^2)*f(x)+(144*x^4+193*x^2+1-26*x-312*x^3)*f(x)^2 lgdogf] A048447 5.2655 [-(f(x)-1)^2*(16*f(x)*x^3-33*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A048467 10.3244 [(9*x^2-3*x-1)/(x-1)/(2*x-1)^2 ogf] A048467 12.0874 [-(3*x-2)*(6*x^2+3*x-4)/(x-1)/(-1+2*x)/(9*x^2-3*x-1) lgdogf] A048467 5.4292 [(144*f(x)+8845)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-9*x^2-f(x)+3*x+1) ogf] A048467 5.57333 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=8,a(2)=23} ogf] A048468 11.8549 [-(9-20*x+22*x^3-5*x^2)/(x-1)/(-1+2*x)/(11*x^2-4*x-1) lgdogf] A048468 12.4067 [(11*x^2-4*x-1)/(x-1)/(2*x-1)^2 ogf] A048468 6.51876 [(644*f(x)+50037)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-11*x^2-f(x)+4*x+1) ogf] A048468 6.80720 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=9,a(2)=26} ogf] A048469 11.7570 [-(10-22*x+26*x^3-7*x^2)/(x-1)/(-1+2*x)/(13*x^2-5*x-1) lgdogf] A048469 12.5175 [(13*x^2-5*x-1)/(x-1)/(2*x-1)^2 ogf] A048469 6.46734 [(3904*f(x)+374955)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-13*x^2-f(x)+5*x+1) ogf] A048469 6.80774 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=10,a(2)=29} ogf] A048470 10.1019 [-(3-12*x-32*x^3+24*x^2+20*x^4)/(x-1)/(-1+2*x)/(5*x^3-7*x^2+4*x-1) lgdogf] A048470 7.61469 [(5*x^3-7*x^2+4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A048473 13.6624 [(x+1)/(3*x-1)/(x-1) ogf] A048473 13.9984 [-1/2*(-1-4*x+(1+12*x+4*x^2)^(1/2))/(-1+3*x) revogf] A048473 17.1980 [-(-5+6*x+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A048473 7.06673 [(14*f(x)+11)*(3*f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A048473 7.49763 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=5} ogf] A048474 10.4882 [-(x^2-x+1)/(x-1)/(2*x-1)^2 ogf] A048474 13.6186 [-(-4+6*x+2*x^3-3*x^2)/(x-1)/(-1+2*x)/(1+x^2-x) lgdogf] A048474 5.66179 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A048474 5.6618 [(128*f(x)-9)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+x^2-f(x)-x+1) ogf] A048476 12.4339 [(x^2-x-1)/(x-1)/(2*x-1)^2 ogf] A048476 14.1256 [-(6-6*x+2*x^3-3*x^2)/(x-1)/(-1+2*x)/(-1+x^2-x) lgdogf] A048476 6.59537 [(128*f(x)-173)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-x^2-f(x)+x+1) ogf] A048476 6.71211 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=6,a(2)=21} ogf] A048477 12.5454 [(2*x^2-2*x-1)/(x-1)/(2*x-1)^2 ogf] A048477 13.1289 [-(7-6*x+4*x^3-6*x^2)/(x-1)/(-1+2*x)/(-1+2*x^2-2*x) lgdogf] A048477 6.65452 [(280*f(x)-603)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-2*x^2-f(x)+2*x+1) ogf] A048477 6.77230 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=7,a(2)=25} ogf] A048478 12.5454 [(3*x^2-3*x-1)/(x-1)/(2*x-1)^2 ogf] A048478 13.1289 [-(8-6*x+6*x^3-9*x^2)/(x-1)/(-1+2*x)/(-1+3*x^2-3*x) lgdogf] A048478 6.59715 [(768*f(x)-2309)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-3*x^2-f(x)+3*x+1) ogf] A048478 6.77230 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=8,a(2)=29} ogf] A048479 12.5454 [(4*x^2-4*x-1)/(x-1)/(2*x-1)^2 ogf] A048479 13.6759 [-(2*x-3)*(4*x^2-3)/(x-1)/(-1+2*x)/(-1+4*x^2-4*x) lgdogf] A048479 6.71289 [(28*f(x)-109)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-4*x^2-f(x)+4*x+1) ogf] A048479 6.77230 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=9,a(2)=33} ogf] A048480 11.8153 [-(10-6*x+10*x^3-15*x^2)/(x-1)/(-1+2*x)/(-1+5*x^2-5*x) lgdogf] A048480 12.8242 [(5*x^2-5*x-1)/(x-1)/(2*x-1)^2 ogf] A048480 6.68611 [(1280*f(x)-6147)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-5*x^2-f(x)+5*x+1) ogf] A048480 6.86207 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=10,a(2)=37} ogf] A048481 10.9791 [(4*x^2-3*x+1)/(2*x-1)^2/(x-1)^2 ogf] A048481 11.9831 [-(-3+9*x+16*x^3-18*x^2)/(x-1)/(-1+2*x)/(4*x^2-3*x+1) lgdogf] A048481 6.33752 [f(x)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A048482 5.15545 [-(3*f(x)+64)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+8*x^3-7*f(x)*x-10*x^2+f(x)+4*x-1) ogf] A048482 8.36909 [-(3-4*x-24*x^3+10*x^2+16*x^4)/(x-1)/(-1+2*x)/(8*x^3-10*x^2+4*x-1) lgdogf] A048482 9.34426 [-(8*x^3-10*x^2+4*x-1)/(x-1)/(2*x-1)^3 ogf] A048487 15.1164 [(3*x+1)/(2*x-1)/(x-1) ogf] A048487 16.2594 [-1/2*(-1-3*x+(1+18*x+x^2)^(1/2))/(-3+2*x) revogf] A048487 16.6659 [-2*(-3+2*x+3*x^2)/(x-1)/(-1+2*x)/(3*x+1) lgdogf] A048487 7.72999 [(23*f(x)+139)*(2*f(x)*x^2-3*f(x)*x+f(x)-3*x-1) ogf] A048487 8.29561 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A048488 14.2175 [(4*x+1)/(2*x-1)/(x-1) ogf] A048488 16.0594 [-1/4*(-1-3*x+(1+22*x+x^2)^(1/2))/(-2+x) revogf] A048488 16.4820 [-(-7+4*x+8*x^2)/(x-1)/(-1+2*x)/(4*x+1) lgdogf] A048488 7.35386 [(17*f(x)+32)*(2*f(x)*x^2-3*f(x)*x+f(x)-4*x-1) ogf] A048488 7.80228 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=7} ogf] A048489 14.3672 [(5*x+1)/(2*x-1)/(x-1) ogf] A048489 15.4403 [-1/2*(-1-3*x+(1+26*x+x^2)^(1/2))/(-5+2*x) revogf] A048489 15.8263 [-2*(-4+2*x+5*x^2)/(x-1)/(5*x+1)/(-1+2*x) lgdogf] A048489 7.51768 [(5*f(x)+11)*(2*f(x)*x^2-3*f(x)*x+f(x)-5*x-1) ogf] A048489 7.88441 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=8} ogf] A048490 16.4911 [-(-9+4*x+12*x^2)/(x-1)/(-1+2*x)/(6*x+1) lgdogf] A048490 16.4911 [-1/4*(-1-3*x+(1+30*x+x^2)^(1/2))/(-3+x) revogf] A048490 16.5595 [(6*x+1)/(2*x-1)/(x-1) ogf] A048490 8.56523 [(23*f(x)+58)*(2*f(x)*x^2-3*f(x)*x+f(x)-6*x-1) ogf] A048490 9.08751 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=9} ogf] A048491 14.6665 [(7*x+1)/(2*x-1)/(x-1) ogf] A048491 15.7688 [-1/2*(-1-3*x+(1+34*x+x^2)^(1/2))/(-7+2*x) revogf] A048491 16.5775 [-2*(x+1)*(7*x-5)/(x-1)/(7*x+1)/(-1+2*x) lgdogf] A048491 7.58609 [(13*f(x)+37)*(2*f(x)*x^2-3*f(x)*x+f(x)-7*x-1) ogf] A048491 7.95170 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=10} ogf] A048492 12.8045 [-(-3+8*x+8*x^3-10*x^2)/(-1+2*x)/(x-1)/(2*x^2-2*x+1) lgdogf] A048492 4.90173 [-(319*f(x)+64)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A048492 9.66138 [(2*x^2-2*x+1)/(2*x-1)/(x-1)^3 ogf] A048493 5.2561 [-(56*f(x)-1115)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+4*x^3-6*f(x)*x-5*x^2+f(x)+3*x-1) ogf] A048493 8.12635 [-(3-7*x-8*x^3+6*x^2+8*x^4)/(-1+2*x)/(x-1)/(4*x^3-5*x^2+3*x-1) lgdogf] A048493 9.78035 [-(4*x^3-5*x^2+3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A048495 10.7643 [-(4*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048495 12.3684 [-2*(-1+2*x+4*x^3-4*x^2)/(x-1)/(-1+2*x)/(4*x^2-3*x+1) lgdogf] A048495 5.86271 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A048495 5.91552 [(f(x)-1)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A048496 10.4336 [-(5*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048496 12.2181 [-(-2+2*x+10*x^3-7*x^2)/(x-1)/(-1+2*x)/(5*x^2-3*x+1) lgdogf] A048496 5.43975 [-(48*f(x)-29)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+5*x^2-f(x)-3*x+1) ogf] A048496 5.68259 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A048497 10.4336 [-(6*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048497 12.9817 [-2*(-1+6*x^3-3*x^2)/(x-1)/(-1+2*x)/(6*x^2-3*x+1) lgdogf] A048497 5.68259 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A048497 5.6826 [(12*f(x)-7)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A048498 10.7067 [-(7*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048498 12.5448 [-(-2-2*x+14*x^3-5*x^2)/(x-1)/(-1+2*x)/(7*x^2-3*x+1) lgdogf] A048498 5.67924 [(160*f(x)-103)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+7*x^2-f(x)-3*x+1) ogf] A048498 5.83135 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A048499 12.4897 [-(8*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048499 12.5598 [-2*(-1-2*x+8*x^3-2*x^2)/(x-1)/(-1+2*x)/(8*x^2-3*x+1) lgdogf] A048499 6.74220 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A048499 8.56032 [-4*f(x)*x^3+8*f(x)*x^2-5*f(x)*x-8*x^2+f(x)+3*x-1 ogf] A048500 12.4897 [-(9*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048500 12.8061 [-(-2-6*x+18*x^3-3*x^2)/(x-1)/(-1+2*x)/(9*x^2-3*x+1) lgdogf] A048500 6.62494 [(336*f(x)-281)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+9*x^2-f(x)-3*x+1) ogf] A048500 6.74220 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=11} ogf] A048501 12.3431 [-(10*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048501 12.6239 [-2*(-1-4*x+10*x^3-x^2)/(x-1)/(-1+2*x)/(10*x^2-3*x+1) lgdogf] A048501 6.71289 [(56*f(x)-53)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+10*x^2-f(x)-3*x+1) ogf] A048501 6.77230 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=12} ogf] A048502 12.3431 [-(11*x^2-3*x+1)/(x-1)/(2*x-1)^2 ogf] A048502 12.3857 [-(2*x+1)*(11*x^2-6*x-2)/(x-1)/(-1+2*x)/(11*x^2-3*x+1) lgdogf] A048502 6.59715 [(576*f(x)-611)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+11*x^2-f(x)-3*x+1) ogf] A048502 6.77230 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=13} ogf] A048503 7.23239 [(2*x^3-6*x^2+4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A048503 9.73627 [-(3-14*x-32*x^3+32*x^2+8*x^4)/(x-1)/(-1+2*x)/(2*x^3-6*x^2+4*x-1) lgdogf] A048504 5.58378 [-(4*x^4-16*x^3+16*x^2-6*x+1)/(x-1)^2/(2*x-1)^3 ogf] A048504 6.59672 [-2*(-1+4*x+4*x^5+32*x^3-16*x^2-24*x^4)/(x-1)/(-1+2*x)/(4*x^4-16*x^3+16*x^2-6*x+1) lgdogf] A048506 5.28816 [-(3*f(x)+739)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+8*x^3-7*f(x)*x-11*x^2+f(x)+5*x-1) ogf] A048506 8.72168 [-(2-6*x-28*x^3+17*x^2+16*x^4)/(x-1)/(-1+2*x)/(8*x^3-11*x^2+5*x-1) lgdogf] A048506 9.65090 [-(8*x^3-11*x^2+5*x-1)/(x-1)/(2*x-1)^3 ogf] A048507 5.09707 [(769*f(x)-9146)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-16*x^3-7*f(x)*x+17*x^2+f(x)-3*x-1) ogf] A048507 9.18732 [(16*x^3-17*x^2+3*x+1)/(x-1)/(2*x-1)^3 ogf] A048507 9.21880 [-(-10+30*x-36*x^3-13*x^2+32*x^4)/(x-1)/(-1+2*x)/(16*x^3-17*x^2+3*x+1) lgdogf] A048508 4.52325 [(261*f(x)+31)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-40*x^3-7*f(x)*x+43*x^2+f(x)-10*x-1) ogf] A048508 7.99844 [(40*x^3-43*x^2+10*x+1)/(x-1)/(2*x-1)^3 ogf] A048508 9.18127 [-(-17+54*x-92*x^3-17*x^2+80*x^4)/(x-1)/(-1+2*x)/(40*x^3-43*x^2+10*x+1) lgdogf] A048509 4.97289 [(40693*f(x)+959127)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-72*x^3-7*f(x)*x+77*x^2+f(x)-19*x-1) ogf] A048509 8.92623 [-(-26+86*x-164*x^3-25*x^2+144*x^4)/(x-1)/(-1+2*x)/(72*x^3-77*x^2+19*x+1) lgdogf] A048509 9.15741 [(72*x^3-77*x^2+19*x+1)/(x-1)/(2*x-1)^3 ogf] A048510 5.09525 [(4301*f(x)+264533)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-112*x^3-7*f(x)*x+119*x^2+f(x)-30*x-1) ogf] A048510 8.25385 [-(-37+126*x-252*x^3-37*x^2+224*x^4)/(x-1)/(-1+2*x)/(112*x^3-119*x^2+30*x+1) lgdogf] A048510 9.21999 [(112*x^3-119*x^2+30*x+1)/(x-1)/(2*x-1)^3 ogf] A048511 4.09351 [(373593*f(x)+43676960)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-160*x^3-7*f(x)*x+169*x^2+f(x)-43*x-1) ogf] A048511 7.60224 [(160*x^3-169*x^2+43*x+1)/(x-1)/(2*x-1)^3 ogf] A048511 8.34074 [-(-50+174*x-356*x^3-53*x^2+320*x^4)/(x-1)/(-1+2*x)/(160*x^3-169*x^2+43*x+1) lgdogf] A048512 4.20123 [(2099*f(x)+404664)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-216*x^3-7*f(x)*x+227*x^2+f(x)-58*x-1) ogf] A048512 7.60224 [(216*x^3-227*x^2+58*x+1)/(x-1)/(2*x-1)^3 ogf] A048512 8.34074 [-(-65+230*x-476*x^3-73*x^2+432*x^4)/(x-1)/(-1+2*x)/(216*x^3-227*x^2+58*x+1) lgdogf] A048513 4.04169 [(1829677*f(x)+534531697)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-280*x^3-7*f(x)*x+293*x^2+f(x)-75*x-1) ogf] A048513 7.60224 [(280*x^3-293*x^2+75*x+1)/(x-1)/(2*x-1)^3 ogf] A048513 8.34074 [-(-82+294*x-612*x^3-97*x^2+560*x^4)/(x-1)/(-1+2*x)/(280*x^3-293*x^2+75*x+1) lgdogf] A048514 4.78534 [(8*x^5-37*x^4+46*x^3-25*x^2+7*x-1)/(2*x-1)^3/(x-1)^4 ogf] A048515 5.18906 [-(8*x^5-43*x^4+53*x^3-23*x^2+4*x-1)/(2*x-1)^3/(x-1)^3 ogf] A048515 6.13599 [-(5+10*x-124*x^5+16*x^6-12*x^3-50*x^2+149*x^4)/(x-1)/(-1+2*x)/(8*x^5-43*x^4+53*x^3-23*x^2+4*x-1) lgdogf] A048529 4.29888 [-x*(3770*x^6-3377*x^4+100*x^3-360*x^2-100*x-24)/(x-1)/(x+1)/(10*x^2-1) ogf] A048573 15.0332 [-(x+2)/(x+1)/(2*x-1) ogf] A048573 17.4411 [1/2/(2*x+1)*(-x-2+(4+8*x+9*x^2)^(1/2)) revogf] A048573 18.9360 [-(3+8*x+2*x^2)/(-1+2*x)/(x+2)/(x+1) lgdogf] A048573 7.43402 [-(11*f(x)-13)*(2*f(x)*x^2+f(x)*x-f(x)+x+2) ogf] A048573 8.24995 [{-a(n+2)+a(n+1)+2*a(n),a(0)=2,a(1)=3} ogf] A048575 16.7617 [-(x-2)/(x^2-3*x+1) ogf] A048575 18.9950 [-1/2*(-2-3*x+(4+8*x+5*x^2)^(1/2))/(x+1) revogf] A048575 24.6935 [-(5-4*x+x^2)/(x-2)/(x^2-3*x+1) lgdogf] A048575 8.38083 [-(11*f(x)+3)*(f(x)*x^2-3*f(x)*x+f(x)+x-2) ogf] A048575 9.19848 [{a(n+2)-3*a(n+1)+a(n),a(0)=2,a(1)=5} ogf] A048577 14.5888 [-(4-4*x+4*x^3-5*x^2+2*x^4)/(x-1)/(2*x^2+2*x-3)/(x^2+x-1) lgdogf] A048577 15.6911 [-(2*x^2+2*x-3)/(x-1)/(x^2+x-1) ogf] A048577 8.57349 [-(f(x)-3)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)+2*x-3) ogf] A048577 8.84711 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=4,a(2)=6} ogf] A048578 13.8589 [1/2*ln(x+2)-arctanh((4*x+9)^(1/2))-1/2*ln(2)+arctanh(3) revegf] A048578 17.2494 [-(4*x-3)/(2*x-1)/(x-1) ogf] A048578 20.0589 [-(5-12*x+8*x^2)/(x-1)/(4*x-3)/(-1+2*x) lgdogf] A048578 8.62472 [-(3*f(x)+16)*(2*f(x)*x^2-3*f(x)*x+f(x)+4*x-3) ogf] A048578 9.46616 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=3,a(1)=5} ogf] A048580 16.5077 [-(2*x-3)/(2*x^2-4*x+1) ogf] A048580 18.2454 [-1/4*(-3-4*x+(9+16*x+8*x^2)^(1/2))/(x+1) revogf] A048580 19.2056 [-2*(5-6*x+2*x^2)/(2*x-3)/(2*x^2-4*x+1) lgdogf] A048580 8.34658 [-(7*f(x)+4)*(2*f(x)*x^2-4*f(x)*x+f(x)+2*x-3) ogf] A048580 8.94996 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=3,a(1)=10} ogf] A048582 6.56984 [-(2*x^6-x^5+3*x^4-2*x^2+3*x-4)/(x-1)/(x^6+2*x^4+x^3+2*x-1) ogf] A048584 14.4204 [-(7-8*x+6*x^3-7*x^2+4*x^4)/(x-1)/(4*x^2+3*x-5)/(x^2+x-1) lgdogf] A048584 15.5112 [-(4*x^2+3*x-5)/(x-1)/(x^2+x-1) ogf] A048584 8.65363 [{-a(n+3)+2*a(n+2)-a(n),a(0)=5,a(1)=7,a(2)=10} ogf] A048584 8.83973 [(3*f(x)-5)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)+3*x-5) ogf] A048585 11.0674 [-(5*x^3-x^2+5*x-6)/(x-1)/(x^3+x-1) ogf] A048585 11.1632 [-(7-10*x-2*x^5+5*x^6-14*x^3+6*x^2+11*x^4)/(x-1)/(5*x^3-x^2+5*x-6)/(x^3+x-1) lgdogf] A048585 5.95936 [-(26*f(x)-75)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+5*x^3-2*f(x)*x-x^2+f(x)+5*x-6) ogf] A048587 10.4814 [-(4*x^3-5*x^2+8*x-6)/(x-1)/(x^3-x^2+2*x-1) ogf] A048587 5.68355 [-(15*f(x)+4)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+4*x^3-3*f(x)*x-5*x^2+f(x)+8*x-6) ogf] A048587 9.21911 [-(10-26*x-10*x^5+4*x^6-32*x^3+33*x^2+22*x^4)/(x-1)/(4*x^3-5*x^2+8*x-6)/(x^3-x^2+2*x-1) lgdogf] A048588 10.6102 [-(6*x^3-x^2+6*x-7)/(x-1)/(x^3+x-1) ogf] A048588 10.6951 [-(8-12*x-2*x^5+6*x^6-16*x^3+7*x^2+13*x^4)/(x-1)/(6*x^3-x^2+6*x-7)/(x^3+x-1) lgdogf] A048588 5.83561 [(47*f(x)-142)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+6*x^3-2*f(x)*x-x^2+f(x)+6*x-7) ogf] A048589 10.8996 [-(6*x^3-x^2+5*x-7)/(x-1)/(x^3+x-1) ogf] A048589 10.9922 [-(9-12*x-2*x^5+6*x^6-14*x^3+6*x^2+10*x^4)/(x-1)/(6*x^3-x^2+5*x-7)/(x^3+x-1) lgdogf] A048589 6.12604 [(7*f(x)+6)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+6*x^3-2*f(x)*x-x^2+f(x)+5*x-7) ogf] A048590 8.97834 [(x^5-7*x^4+x^3+x^2-7*x+8)/(x-1)/(x^4+x-1) ogf] A048590 9.64637 [(9-14*x+8*x^5+x^6-2*x^7+6*x^8+8*x^2-13*x^4)/(x-1)/(x^4+x-1)/(x^5-7*x^4+x^3+x^2-7*x+8) lgdogf] A048591 10.8964 [-(10-14*x-2*x^5+7*x^6-16*x^3+7*x^2+12*x^4)/(x-1)/(7*x^3-x^2+6*x-8)/(x^3+x-1) lgdogf] A048591 10.9478 [-(7*x^3-x^2+6*x-8)/(x-1)/(x^3+x-1) ogf] A048591 6.06461 [(49*f(x)+33)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+7*x^3-2*f(x)*x-x^2+f(x)+6*x-8) ogf] A048592 9.01880 [(x^5-8*x^4+x^3+x^2-8*x+9)/(x-1)/(x^4+x-1) ogf] A048592 9.46785 [(10-16*x+10*x^5+x^6-2*x^7+7*x^8+9*x^2-15*x^4)/(x-1)/(x^4+x-1)/(x^5-8*x^4+x^3+x^2-8*x+9) lgdogf] A048617 7.37647 [{(n^2+4*n+4)*a(n+1)-a(n+2),a(0)=2,a(1)=2} ogf] A048624 2.51467 [(14*f(x)-3)*(f(x)*x^2+2*f(x)*x-f(x)+x+2) ogf] A048624 4.80582 [-(x+2)/(x^2+2*x-1) ogf] A048624 6.83906 [-(5+4*x+x^2)/(x+2)/(x^2+2*x-1) lgdogf] A048625 15.7652 [-(3*x^2+2*x+4)/(x^3+x-1) ogf] A048625 16.4140 [-(6+6*x+4*x^3+9*x^2+3*x^4)/(3*x^2+2*x+4)/(x^3+x-1) lgdogf] A048625 8.88886 [{a(n+3)-a(n+2)-a(n),a(0)=4,a(1)=6,a(2)=9} ogf] A048625 9.38824 [-f(x)*(f(x)*x^3+f(x)*x+3*x^2-f(x)+2*x+4) ogf] A048626 15.5211 [-(4*x^2+3*x+6)/(x^3+x-1) ogf] A048626 15.8405 [-(9+8*x+6*x^3+14*x^2+4*x^4)/(4*x^2+3*x+6)/(x^3+x-1) lgdogf] A048626 8.30929 [-(21*f(x)-34)*(f(x)*x^3+f(x)*x+4*x^2-f(x)+3*x+6) ogf] A048626 8.65916 [{a(n+3)-a(n+2)-a(n),a(0)=6,a(1)=9,a(2)=13} ogf] A048635 4.62537 [-(7007*f(x)-12352)*(4*f(x)*x^4-8*f(x)*x^3+7*f(x)*x^2-16*x^3-4*f(x)*x+32*x^2+f(x)-14*x) ogf] A048635 7.91838 [-2*(-6+41*x+32*x^5+184*x^3-124*x^2-128*x^4)/(x-1)/(-1+2*x)/(2*x^2-x+1)/(8*x^2-16*x+7) lgdogf] A048635 8.94645 [2*x*(8*x^2-16*x+7)/(2*x-1)/(x-1)/(2*x^2-x+1) ogf] A048654 12.3808 [-(2*x+1)/(x^2+2*x-1) ogf] A048654 13.9514 [1/2/(x+2)*(-2*x-1+(8*x^2+12*x+1)^(1/2)) revogf] A048654 17.0032 [-2*(2+x+x^2)/(2*x+1)/(x^2+2*x-1) lgdogf] A048654 6.55452 [(5*f(x)+3)*(f(x)*x^2+2*f(x)*x-f(x)+2*x+1) ogf] A048654 6.79433 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=4} ogf] A048655 12.5980 [-(3*x+1)/(x^2+2*x-1) ogf] A048655 14.2020 [1/2/(3+x)*(-2*x-1+(8*x^2+16*x+1)^(1/2)) revogf] A048655 16.2905 [-(5+2*x+3*x^2)/(3*x+1)/(x^2+2*x-1) lgdogf] A048655 6.51619 [(12*f(x)+13)*(f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A048655 6.91352 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A048693 12.7428 [-(4*x+1)/(x^2+2*x-1) ogf] A048693 14.3691 [1/2/(4+x)*(-2*x-1+(8*x^2+20*x+1)^(1/2)) revogf] A048693 16.4822 [-2*(3+x+2*x^2)/(4*x+1)/(x^2+2*x-1) lgdogf] A048693 6.66773 [(7*f(x)+11)*(f(x)*x^2+2*f(x)*x-f(x)+4*x+1) ogf] A048693 6.99300 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A048694 12.8152 [-(5*x+1)/(x^2+2*x-1) ogf] A048694 14.4526 [1/2/(5+x)*(-2*x-1+(8*x^2+24*x+1)^(1/2)) revogf] A048694 16.5780 [-(7+2*x+5*x^2)/(5*x+1)/(x^2+2*x-1) lgdogf] A048694 6.62854 [(16*f(x)+33)*(f(x)*x^2+2*f(x)*x-f(x)+5*x+1) ogf] A048694 7.03273 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A048695 12.9600 [-(6*x+1)/(x^2+2*x-1) ogf] A048695 14.6197 [1/2/(6+x)*(-2*x-1+(8*x^2+28*x+1)^(1/2)) revogf] A048695 16.7696 [-2*(4+x+3*x^2)/(6*x+1)/(x^2+2*x-1) lgdogf] A048695 6.78139 [(9*f(x)+23)*(f(x)*x^2+2*f(x)*x-f(x)+6*x+1) ogf] A048695 7.11220 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A048696 15.1060 [-(7*x+1)/(x^2+2*x-1) ogf] A048696 17.0882 [1/2/(7+x)*(-2*x-1+(8*x^2+32*x+1)^(1/2)) revogf] A048696 19.6012 [-(9+2*x+7*x^2)/(7*x+1)/(x^2+2*x-1) lgdogf] A048696 7.81345 [(20*f(x)+61)*(f(x)*x^2+2*f(x)*x-f(x)+7*x+1) ogf] A048696 8.28987 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A048697 12.1602 [-(8*x+1)/(x^2+2*x-1) ogf] A048697 13.7009 [1/2/(8+x)*(-2*x-1+(8*x^2+36*x+1)^(1/2)) revogf] A048697 15.7157 [-2*(5+x+4*x^2)/(8*x+1)/(x^2+2*x-1) lgdogf] A048697 6.28976 [(11*f(x)+39)*(f(x)*x^2+2*f(x)*x-f(x)+8*x+1) ogf] A048697 6.59289 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A048736 8.12355 [-(2*x^8+3*x^7+5*x^6-7*x^5-8*x^4-9*x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6-9*x^3+1) ogf] A048739 16.9186 [1/(x-1)/(x^2+2*x-1) ogf] A048739 20.6120 [-(-3+2*x+3*x^2)/(x-1)/(x^2+2*x-1) lgdogf] A048739 6.19343 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A048739 6.93663 [(49*f(x)-9)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A048745 14.5674 [(2*x+1)/(x-1)/(x^2+2*x-1) ogf] A048745 16.1376 [-(-5+2*x+4*x^3+5*x^2)/(x-1)/(2*x+1)/(x^2+2*x-1) lgdogf] A048745 6.83250 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A048745 6.8935 [-(1465*f(x)+551)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A048746 11.0652 [(3*x+1)/(x-1)/(x^2+2*x-1) ogf] A048746 12.2005 [-2*(-3+x+3*x^3+3*x^2)/(x-1)/(3*x+1)/(x^2+2*x-1) lgdogf] A048746 5.18989 [-(3886*f(x)+2439)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-3*x-1) ogf] A048746 5.18989 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=17} ogf] A048755 14.8883 [(4*x+1)/(x-1)/(x^2+2*x-1) ogf] A048755 16.4994 [-(-7+2*x+8*x^3+7*x^2)/(x-1)/(4*x+1)/(x^2+2*x-1) lgdogf] A048755 6.98299 [-(8473*f(x)+7439)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-4*x-1) ogf] A048755 6.98299 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=20} ogf] A048759 8.62968 [-2*(2*x^5+x^4-6*x^3-3*x^2+6*x+6)/(x-1)^3/(x+1)^3 ogf] A048759 9.85271 [-2*(3+15*x+x^5+x^6-4*x^3+6*x^2-4*x^4)/(x-1)/(x+1)/(2*x^5+x^4-6*x^3-3*x^2+6*x+6) lgdogf] A048764 14.5224 [2*(-1+8*x^5-207*x^22+198*x^23-10*x^4)/(x-1)/(18*x^23+4*x^5+x+1) lgdogf] A048764 16.9516 [-(18*x^23+4*x^5+x+1)/(x-1) ogf] A048765 11.0317 [2*(-1-4*x-54*x^5+45*x^6+2*x^2-1152*x^23+1104*x^24)/(x-1)/(96*x^24+18*x^6+4*x^2+x+1) lgdogf] A048765 14.5657 [-(96*x^24+18*x^6+4*x^2+x+1)/(x-1) ogf] A048770 12.1262 [(5*x+1)/(x-1)/(x^2+2*x-1) ogf] A048770 13.3937 [-2*(-4+x+5*x^3+4*x^2)/(x-1)/(5*x+1)/(x^2+2*x-1) lgdogf] A048770 5.58859 [-(16234*f(x)+18311)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-5*x-1) ogf] A048770 5.68751 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=23} ogf] A048771 14.1045 [(6*x+1)/(x-1)/(x^2+2*x-1) ogf] A048771 15.2932 [-(-9+2*x+12*x^3+9*x^2)/(x-1)/(6*x+1)/(x^2+2*x-1) lgdogf] A048771 6.50034 [-(28369*f(x)+39087)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-6*x-1) ogf] A048771 6.61541 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=26} ogf] A048772 4.14431 [-(46270*f(x)+75311)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-7*x-1) ogf] A048772 4.18065 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=29} ogf] A048772 8.99234 [(7*x+1)/(x-1)/(x^2+2*x-1) ogf] A048772 9.87346 [-2*(-5+x+7*x^3+5*x^2)/(x-1)/(7*x+1)/(x^2+2*x-1) lgdogf] A048773 14.2951 [(8*x+1)/(x-1)/(x^2+2*x-1) ogf] A048773 14.8835 [-(-11+2*x+16*x^3+11*x^2)/(x-1)/(8*x+1)/(x^2+2*x-1) lgdogf] A048773 6.53139 [-(71521*f(x)+134279)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-8*x-1) ogf] A048773 6.64598 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=32} ogf] A048776 20.7749 [-1/(x^2+2*x-1)/(x-1)^2 ogf] A048776 24.3570 [-4*(-1+x+x^2)/(x-1)/(x^2+2*x-1) lgdogf] A048776 3.86267 [{(n+4)*a(n+4)+(-13-3*n)*a(n+3)+(6+n)*a(n+2)+(5+n)*a(n+1),a(0)=1,a(1)=4,a(2)=12,a(3)=32} ogf] A048776 7.68671 [(25*f(x)-1)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A048777 14.7599 [-(x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A048777 3.91138 [{(-2*n-9)*a(n+1)+(-2*n-11)*a(n+2)+(6*n+23)*a(n+3)+(-2*n-7)*a(n+4),a(0)=1,a(1)=5,a(2)=16,a(3)=44} ogf] A048777 7.24329 [(6472*f(x)+575)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A048777 9.06705 [-(-5+3*x+3*x^3+7*x^2)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A048778 16.0037 [-(2*x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A048778 17.7545 [-2*(-3+x+3*x^3+5*x^2)/(x-1)/(2*x+1)/(x^2+2*x-1) lgdogf] A048778 4.19899 [{(3*n+13)*a(n+1)+(3*n+16)*a(n+2)+(-9*n-33)*a(n+3)+(3*n+10)*a(n+4),a(0)=1,a(1)=6,a(2)=20,a(3)=56} ogf] A048778 7.71086 [(13443*f(x)+4093)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A048779 33.2077 [-x*(x-1)*(2*x^2-2*x+1) revogf] A048779 7.07725 [{(-8*n-14)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A048788 11.8509 [-x*(x^2-2*x-1)/(x^4-4*x^2+1) ogf] A048788 12.2815 [-2*(x+1)*(x^4-4*x^3+2*x^2+2*x+1)/(x^2-2*x-1)/(x^4-4*x^2+1) lgdogf] A048788 7.15746 [-(2*f(x)+1)*(f(x)*x^4-4*f(x)*x^2+x^3-2*x^2+f(x)-x) ogf] A048828 2.81427 [(f(x)-1)^2 ogf] A048840 13.2111 [2*(1+x+x^5-2*x^3+4*x^2-2*x^4)/(x-1)/(x^5+x^4-2*x^3-2*x^2+x-1) lgdogf] A048840 9.66499 [(x^5+x^4-2*x^3-2*x^2+x-1)/(x-1)^3 ogf] A048875 16.6666 [-(2*x+1)/(x^2+4*x-1) ogf] A048875 18.4281 [1/2/(x+2)*(-4*x-1+(20*x^2+16*x+1)^(1/2)) revogf] A048875 23.0351 [-2*(3+x+x^2)/(2*x+1)/(x^2+4*x-1) lgdogf] A048875 8.72091 [(13*f(x)+5)*(f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A048875 9.14633 [{a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A048876 13.9870 [1/2/(3+x)*(-4*x-1+(20*x^2+20*x+1)^(1/2)) revogf] A048876 16.4552 [-(7+2*x+3*x^2)/(3*x+1)/(x^2+4*x-1) lgdogf] A048876 16.7382 [-(3*x+1)/(x^2+4*x-1) ogf] A048876 8.65767 [(30*f(x)+19)*(f(x)*x^2+4*f(x)*x-f(x)+3*x+1) ogf] A048876 9.18559 [{a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A048877 11.6368 [-(4*x+1)/(x^2+4*x-1) ogf] A048877 12.7870 [1/2/(4+x)*(-4*x-1+(20*x^2+24*x+1)^(1/2)) revogf] A048877 15.0435 [-2*(4+x+2*x^2)/(4*x+1)/(x^2+4*x-1) lgdogf] A048877 6.01906 [(17*f(x)+15)*(f(x)*x^2+4*f(x)*x-f(x)+4*x+1) ogf] A048877 6.38606 [{a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A048878 12.8450 [-(5*x+1)/(x^2+4*x-1) ogf] A048878 14.1415 [1/2/(5+x)*(-4*x-1+(20*x^2+28*x+1)^(1/2)) revogf] A048878 16.6371 [-(9+2*x+5*x^2)/(5*x+1)/(x^2+4*x-1) lgdogf] A048878 6.64396 [(38*f(x)+43)*(f(x)*x^2+4*f(x)*x-f(x)+5*x+1) ogf] A048878 7.04907 [{a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A048879 15.6784 [-(6*x+1)/(x^2+4*x-1) ogf] A048879 17.3204 [1/2/(6+x)*(-4*x-1+(20*x^2+32*x+1)^(1/2)) revogf] A048879 20.3769 [-2*(5+x+3*x^2)/(6*x+1)/(x^2+4*x-1) lgdogf] A048879 8.10952 [(21*f(x)+29)*(f(x)*x^2+4*f(x)*x-f(x)+6*x+1) ogf] A048879 8.50033 [{a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A048900 4.06519 [{a(n+3)-3843*a(n+2)+3843*a(n+1)-a(n),a(0)=1,a(1)=4347,a(2)=16701685} ogf] A048900 7.54122 [-(7*x^2+504*x+1)/(x-1)/(x^2-3842*x+1) ogf] A048901 3.17516 [-(15010001043520*f(x)+254347937031)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x-5*x^2-f(x)-76*x+1) ogf] A048901 3.74773 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=1,a(1)=247,a(2)=79453} ogf] A048901 6.92762 [(5*x^2+76*x-1)/(x^2-322*x+1)/(x-1) ogf] A048902 3.28937 [(1621080142560*f(x)-21903710267)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+5*x^2-f(x)-102*x+1) ogf] A048902 3.74773 [{-a(n+3)+323*a(n+2)-323*a(n+1)+a(n),a(0)=1,a(1)=221,a(2)=71065} ogf] A048902 6.82422 [-(5*x^2-102*x+1)/(x^2-322*x+1)/(x-1) ogf] A048904 3.37605 [-(26886813844704*f(x)+421598415421)*(f(x)*x^3-483*f(x)*x^2+483*f(x)*x-7*x^2-f(x)-138*x+1) ogf] A048904 3.97989 [{a(n+3)-483*a(n+2)+483*a(n+1)-a(n),a(0)=1,a(1)=345,a(2)=166145} ogf] A048904 7.30637 [(7*x^2+138*x-1)/(x-1)/(x^2-482*x+1) ogf] A048905 3.35891 [(1264517998410480*f(x)-16497226791131)*(f(x)*x^3-483*f(x)*x^2+483*f(x)*x+7*x^2-f(x)-168*x+1) ogf] A048905 3.95969 [{-a(n+3)+483*a(n+2)-483*a(n+1)+a(n),a(0)=1,a(1)=315,a(2)=151669} ogf] A048905 7.26928 [-(7*x^2-168*x+1)/(x-1)/(x^2-482*x+1) ogf] A048907 10.9832 [-(x^2-7*x+1)/(x-1)/(x^2-16*x+1) ogf] A048907 5.86393 [(27099*f(x)-95)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+x^2-f(x)-7*x+1) ogf] A048907 5.91404 [{-a(n+3)+17*a(n+2)-17*a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=154} ogf] A048907 8.78295 [-(10-32*x-14*x^3+105*x^2+x^4)/(x-1)/(x^2-16*x+1)/(x^2-7*x+1) lgdogf] A048908 11.3104 [(2*x^2-8*x-1)/(x-1)/(x^2-16*x+1) ogf] A048908 5.56683 [-(4460967*f(x)+229745)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x-2*x^2-f(x)+8*x+1) ogf] A048908 6.09021 [{-a(n+3)+17*a(n+2)-17*a(n+1)+a(n),a(0)=1,a(1)=25,a(2)=406} ogf] A048908 7.45134 [-(-25+38*x-16*x^3+99*x^2+2*x^4)/(x-1)/(x^2-16*x+1)/(2*x^2-8*x-1) lgdogf] A048909 4.87826 [(2368990933*f(x)-14430824)*(f(x)*x^3-255*f(x)*x^2+255*f(x)*x+x^2-f(x)+70*x+1) ogf] A048909 5.27812 [{a(n+3)-255*a(n+2)+255*a(n+1)-a(n),a(0)=1,a(1)=325,a(2)=82621} ogf] A048909 9.75653 [-(x^2+70*x+1)/(x-1)/(x^2-254*x+1) ogf] A048910 5.68101 [-(2+32*x-28*x^5-13*x^6+2*x^7+x^8-62*x^3-43*x^2+389*x^4)/(x-1)/(x^4+x^3-14*x^2+x+1)/(x^4-30*x^2+1) lgdogf] A048910 7.84581 [-(x^4+x^3-14*x^2+x+1)/(x-1)/(x^4-30*x^2+1) ogf] A048911 11.4602 [(x+1)^3/(x^4-30*x^2+1) ogf] A048911 11.4804 [-(-3-60*x+4*x^3+30*x^2+x^4)/(x+1)/(x^4-30*x^2+1) lgdogf] A048911 6.93924 [(44950*f(x)-5381)*(f(x)*x^4-30*f(x)*x^2-x^3-3*x^2+f(x)-3*x-1) ogf] A048913 5.86744 [-(26*x^4+563*x^3-4923*x^2+13*x+1)/(x-1)/(x^2-110*x+1)/(x^2+110*x+1) ogf] A048914 5.91759 [(39*x^4+860*x^3+1138*x^2-20*x-1)/(x-1)/(x^2-110*x+1)/(x^2+110*x+1) ogf] A048916 3.88550 [-(154*x^4+2295*x^3-25499*x^2+9*x+1)/(x-1)/(x^2-254*x+1)/(x^2+254*x+1) ogf] A048917 3.85050 [(203*x^4+3036*x^3+12902*x^2-12*x-1)/(x-1)/(x^2-254*x+1)/(x^2+254*x+1) ogf] A048919 2.89608 [(6065102437040*f(x)-136534530333)*(f(x)*x^3-143*f(x)*x^2+143*f(x)*x+4*x^2-f(x)-55*x+1) ogf] A048919 3.32690 [{-a(n+3)+143*a(n+2)-143*a(n+1)+a(n),a(0)=1,a(1)=88,a(2)=12445} ogf] A048919 6.09932 [-(4*x^2-55*x+1)/(x-1)/(x^2-142*x+1) ogf] A048920 2.83245 [-(5991349253904*f(x)+190730924491)*(f(x)*x^3-143*f(x)*x^2+143*f(x)*x-4*x^2-f(x)-39*x+1) ogf] A048920 3.32000 [{a(n+3)-143*a(n+2)+143*a(n+1)-a(n),a(0)=1,a(1)=104,a(2)=14725} ogf] A048920 6.13697 [(4*x^2+39*x-1)/(x-1)/(x^2-142*x+1) ogf] A048922 3.39215 [{-a(n+3)+675*a(n+2)-675*a(n+1)+a(n),a(0)=1,a(1)=425,a(2)=286209} ogf] A048922 6.22739 [-(9*x^2-250*x+1)/(x-1)/(x^2-674*x+1) ogf] A048923 3.39215 [{a(n+3)-675*a(n+2)+675*a(n+1)-a(n),a(0)=1,a(1)=459,a(2)=309141} ogf] A048923 6.22739 [(9*x^2+216*x-1)/(x-1)/(x^2-674*x+1) ogf] A048964 5.45831 [-(x^23-x^22-x^13+x^12+x^10-2*x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-2*x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A048965 15.1660 [x*(3*x+1)*(13*x^2+6*x+1)/(5*x+1)^4 revogf] A048990 18.3072 [-2+(1-16*x)*f(x)+(2*x-32*x^2)*f(x)^2 lgdogf] A048990 5.41165 [{(-32*n^2-96*n-70)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=1,a(1)=2} ogf] A049004 6.96414 [-(4*x^11+14*x^10+15*x^9+19*x^8+x^7+10*x^6+10*x^5+13*x^4+x^3+13*x^2+6*x+10)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A049005 12.2382 [-(8*x^6+6*x^5+8*x^4+9*x^3+7*x^2+6*x+6)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A049008 9.18359 [(4+2*x-6*x^5+x^6-3*x^7+2*x^8-3*x^3+9*x^2+6*x^4)/(x-1)/(x^2+x+1)/(x^6-2*x^5+3*x^4-x^3+x^2-3*x-1) lgdogf] A049008 9.56502 [-(x^6-2*x^5+3*x^4-x^3+x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A049013 2.6607 [(4*f(x)+29)*(f(x)*x^2-2*f(x)*x+f(x)+3*x-5) ogf] A049013 5.08489 [-(3*x-5)/(x-1)^2 ogf] A049013 9.39597 [-(-7+3*x)/(x-1)/(3*x-5) lgdogf] A049016 11.3716 [-5*(1-4*x-4*x^3+6*x^2+2*x^4)/(-1+2*x)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A049016 12.8619 [-1/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A049017 11.5912 [-1/(2*x-1)/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) ogf] A049017 7.93613 [-7*(2*x^2-2*x+1)*(x^4-2*x^3+5*x^2-4*x+1)/(-1+2*x)/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) lgdogf] A049018 10.4076 [1/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A049018 9.44347 [-7*(2*x+1)*(x^2+x+1)*(3*x^2+3*x+1)/(21*x^2+1+7*x+35*x^4+35*x^3+7*x^6+21*x^5) lgdogf] A049027 16.2162 [1/2/(9*x-2)*(1+3*(1-4*x)^(1/2))/(4*x-1) lgdogf] A049027 9.85783 [-9*f(x)^2*x+2*f(x)^2+12*f(x)*x-3*f(x)-4*x+1 ogf] A049028 5.42331 [-64*f(x)^3*x^3+7*f(x)^3*x^2-48*f(x)^2*x^2+5*f(x)^2*x-12*f(x)*x+f(x)-1 ogf] A049031 3.82697 [-2*x^2*(x^8+2*x^7+3*x^6+4*x^5+7*x^4+4*x^3+3*x^2+2*x+1)/(x^2+1)^3/(x+1)^3/(x-1)^5 ogf] A049032 3.70872 [-x^2*(x^8+2*x^7+3*x^6+4*x^5+7*x^4+4*x^3+3*x^2+2*x+1)/(x^2+1)^3/(x+1)^3/(x-1)^5 ogf] A049071 15.7753 [x*(2*x-3)/(x-1)/(x+1) ogf] A049071 24.7898 [1/2/(-2+x)*(-3+(9-8*x+4*x^2)^(1/2)) revogf] A049071 25.5189 [-2*(1-3*x+x^2)/(x-1)/(2*x-3)/(x+1) lgdogf] A049071 8.55288 [{a(n+3)-a(n+1),a(0)=0,a(1)=3,a(2)=-2} ogf] A049071 9.46518 [-(4*f(x)-9)*(f(x)*x^2-2*x^2-f(x)+3*x) ogf] A049072 21.8267 [1/(4*x^2-3*x+1) ogf] A049072 33.1408 [-(-3+8*x)/(4*x^2+1-3*x) lgdogf] A049072 8.78391 [{-a(n+2)+3*a(n+1)-4*a(n),a(0)=1,a(1)=3} ogf] A049072 8.89235 [(f(x)+8)*(4*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A049086 10.0747 [-(x-1)^2/(x^3-3*x^2+5*x-1) ogf] A049086 15.8425 [-(x-3)*(1+x^2)/(x-1)/(x^3-3*x^2+5*x-1) lgdogf] A049086 5.43855 [{a(n+3)-5*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A049086 6.90941 [-(11*f(x)-1)*(f(x)*x^3-3*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A049110 7.64759 [-2*(x^46+3*x^45+x^40+3*x^39+2*x^26-2*x^25-x-3)/(x-1)/(x^45+x^39-1) ogf] A049112 7.28746 [-(1+2*x+20*x^5-3*x^6-2*x^7+x^8-8*x^3+x^2-9*x^4)/(x-1)/(x^4+x^3+x^2+x-1)/(2*x^5+x^4-x^3-x^2+x-1) lgdogf] A049112 9.17266 [-(2*x^5+x^4-x^3-x^2+x-1)/(x-1)/(x^4+x^3+x^2+x-1) ogf] A049114 7.16023 [-(1+6*x-8*x^5+7*x^6-2*x^7+x^8+16*x^3-19*x^2-3*x^4)/(x-1)/(x^4-x^3+x^2-x+1)/(x^4+x^3-3*x^2-x+1) lgdogf] A049114 8.07998 [-(x^4-x^3+x^2-x+1)/(x-1)/(x^4+x^3-3*x^2-x+1) ogf] A049118 10.1679 [8-18*x+(-6+24*x-24*x^2)*f(x)+(12*x^2+1-6*x-8*x^3)*f(x)^2 lgdegf] A049119 7.62173 [(-9*n-21)*a(n+1)+(6*n+16)*a(n+2)+(-n-3)*a(n+3),a(0)=5,a(1)=16,a(2)=50 lgdegf] A049120 10.0139 [-(5*(4*x-1)^(5/4)+4*(-1)^(1/4)*x-(-1)^(1/4))/(4*x-1)^(9/4) lgdegf] A049122 10.1569 [f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A049122 10.7262 [-(2*x+1+x*(1+2*x+5*x^2)^(1/2)-(1+2*x+5*x^2)^(1/2))/(1+2*x+5*x^2)^(1/2)/(x-2)/x lgdogf] A049122 3.96996 [{(-5*n-10)*a(n+1)+(8*n+13)*a(n+2)+(3*n+9)*a(n+3)+(2*n+10)*a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=0} ogf] A049122 39.8403 [x*(2*x+1)/(1+3*x+x^2) revogf] A049123 22.3641 [-x*(1-3*x+x^2)/(-1+2*x+x^2) revogf] A049123 6.48992 [f(x)^3*x^2+f(x)^2*x^2-3*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A049124 26.0193 [x*(-1+x+x^2)/(x-1)/(1+x) revogf] A049124 9.88751 [-f(x)^3*x^2+f(x)^2*x^2-f(x)^2*x+f(x)-1 ogf] A049125 31.7352 [-x*(-1-x+x^2)/(1+x)^2 revogf] A049125 7.15547 [-f(x)^3*x^2-f(x)^2*x^2+f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A049126 22.5995 [x*(3*x-1)*(x-1)/(1-3*x+x^3) revogf] A049126 6.55683 [-f(x)^3*x^3+3*f(x)^3*x^2-4*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A049127 19.2733 [x*(-1+2*x+x^2)/(-1+x+2*x^2+x^3) revogf] A049127 5.39988 [-f(x)^3*x^3+f(x)^3*x^2-2*f(x)^2*x^2+2*f(x)^2*x-f(x)*x-f(x)+1 ogf] A049128 32.1888 [x*(x-1)^2/(1-x+x^3) revogf] A049128 6.57328 [-f(x)^3*x^3+f(x)^3*x^2-2*f(x)^2*x+f(x)*x+f(x)-1 ogf] A049129 21.6442 [x*(-1+3*x^2)/(-1-x+2*x^2+x^3) revogf] A049129 6.7427 [f(x)^3*x^3-3*f(x)^3*x^2+2*f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A049130 11.2385 [-f(x)^3*x^3+f(x)^3*x^2+f(x)*x-f(x)+1 ogf] A049130 35.4846 [x*(x-1)*(1+x)/(-1-x+x^3) revogf] A049131 19.3873 [-x*(-1-2*x+x^2)/(1+3*x+2*x^2+x^3) revogf] A049131 5.77975 [f(x)^3*x^3+f(x)^3*x^2+2*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A049132 23.3274 [x*(-1+3*x^2)/(-1-x+4*x^2+x^3) revogf] A049132 7.1933 [f(x)^3*x^3-3*f(x)^3*x^2+4*f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A049133 35.5972 [-x*(x-1)^2/(-1+x+x^3) revogf] A049133 7.58528 [f(x)^3*x^3+f(x)^3*x^2-2*f(x)^2*x+f(x)*x+f(x)-1 ogf] A049134 15.0376 [-x*(-1+5*x-6*x^2+x^3)/(1-4*x+2*x^2+2*x^3) revogf] A049135 20.6025 [x*(-1+3*x-2*x^2+x^3)/(-1+2*x) revogf] A049136 21.0409 [-x*(1-3*x+x^3)/(-1+2*x+2*x^2) revogf] A049137 17.1615 [-x*(1-x-4*x^2+x^3)/(-1+4*x^2+2*x^3) revogf] A049138 18.4354 [x*(1-3*x+2*x^2+x^3)/(1-2*x+2*x^3) revogf] A049139 21.6442 [-x*(1-x-2*x^2+x^3)/(-1+2*x^2) revogf] A049140 47.5404 [-x*(-1+x+x^3) revogf] A049141 16.0119 [x*(-1-x+4*x^2+x^3)/(-1-2*x+2*x^2+2*x^3) revogf] A049142 23.1047 [-x*(-1+x-2*x^2+x^3)/(1+2*x^2) revogf] A049143 18.1742 [-x*(1-x-2*x^2+x^3)/(-1+2*x^2+2*x^3) revogf] A049144 25.3247 [x*(1-2*x^2+x^3+x)/(2*x+1) revogf] A049145 24.6830 [-x*(-1-x+x^3)/(1+2*x+2*x^2) revogf] A049146 18.3747 [-x*(-1+x^3-3*x)/(1+4*x+4*x^2+2*x^3) revogf] A049147 22.8744 [-x*(1-x-4*x^2+x^3)/(-1+6*x^2) revogf] A049148 17.9308 [x*(-1-x+2*x^2+x^3)/(-1-2*x+2*x^2+2*x^3) revogf] A049150 24.1584 [x*(-1+2*x-2*x^2+2*x^3)/(x-1) revogf] A049151 21.5653 [x*(-1+2*x-2*x^3+2*x^4)/(x-1) revogf] A049152 20.7166 [x*(-1-2*x^4+2*x+2*x^5)/(x-1) revogf] A049153 15.7421 [x*(-1+2*x-2*x^2+2*x^3-2*x^4+2*x^5)/(x-1) revogf] A049154 20.8843 [x*(-1+2*x-2*x^3+2*x^5)/(x-1) revogf] A049155 20.7166 [x*(-1+2*x+2*x^6-2*x^5)/(x-1) revogf] A049156 16.0779 [x*(-1+2*x-2*x^2+2*x^3-2*x^5+2*x^6)/(x-1) revogf] A049157 14.9368 [x*(-1-2*x^3+2*x^4+2*x+2*x^6-2*x^5)/(x-1) revogf] A049158 22.5869 [x*(-1+2*x-2*x^4+2*x^6)/(x-1) revogf] A049159 22.5322 [x*(-1+2*x-2*x^3+2*x^6)/(x-1) revogf] A049160 20.9406 [x*(-1+2*x-2*x^6+2*x^7)/(x-1) revogf] A049161 16.7443 [x*(-1-2*x^2+2*x^3+2*x-2*x^6+2*x^7)/(x-1) revogf] A049162 15.0163 [x*(-1+2*x-2*x^3+2*x^4-2*x^6+2*x^7)/(x-1) revogf] A049163 15.8902 [x*(-1-2*x^4+2*x-2*x^6+2*x^7+2*x^5)/(x-1) revogf] A049164 11.7080 [x*(-1+2*x-2*x^2+2*x^3-2*x^4+2*x^5-2*x^6+2*x^7)/(x-1) revogf] A049165 14.6190 [x*(-1-2*x^3+2*x-2*x^6+2*x^7+2*x^5)/(x-1) revogf] A049166 20.7166 [x*(-1+2*x-2*x^5+2*x^7)/(x-1) revogf] A049167 15.6613 [x*(-1-2*x^2+2*x^3+2*x+2*x^7-2*x^5)/(x-1) revogf] A049168 14.9368 [x*(-1-2*x^3+2*x^4+2*x^7+2*x-2*x^5)/(x-1) revogf] A049169 22.5869 [x*(-1+2*x-2*x^4+2*x^7)/(x-1) revogf] A049170 22.4172 [x*(-1+2*x-2*x^3+2*x^7)/(x-1) revogf] A049171 12.4249 [-2*f(x)^3*x^2-f(x)*x+f(x)-1 ogf] A049171 37.8968 [-x*(-1+2*x^2)/(1+x) revogf] A049172 18.7118 [-x*(-1+2*x^2+2*x^3+2*x^4)/(1+x) revogf] A049173 33.1466 [-x*(-1+2*x^4)/(1+x) revogf] A049174 21.7552 [x*(1-2*x^2+2*x^4+2*x^5)/(1+x) revogf] A049175 21.8080 [x*(1-2*x^2-2*x^3+2*x^5)/(1+x) revogf] A049176 19.4784 [-x*(-1+2*x^2+2*x^6+2*x^5)/(1+x) revogf] A049177 13.6357 [-x*(-1+2*x^2+2*x^3+2*x^4+2*x^6+2*x^5)/(1+x) revogf] A049178 21.7130 [-x*(-1+2*x^4+2*x^6+2*x^5)/(1+x) revogf] A049179 18.8633 [-x*(-1+2*x^2-2*x^4+2*x^6)/(1+x) revogf] A049180 20.5035 [-x*(-1+2*x^2+2*x^3+2*x^6)/(1+x) revogf] A049181 33.6540 [-x*(-1+2*x^6)/(1+x) revogf] A049182 20.6025 [x*(1-2*x^2+2*x^7+2*x^6)/(1+x) revogf] A049183 14.1479 [x*(1-2*x^2-2*x^3-2*x^4+2*x^7+2*x^6)/(1+x) revogf] A049184 15.4252 [x*(1-2*x^2-2*x^3+2*x^5+2*x^6+2*x^7)/(1+x) revogf] A049185 20.7121 [x*(1-2*x^2-2*x^5+2*x^7)/(1+x) revogf] A049186 14.3009 [x*(1-2*x^2-2*x^3-2*x^4+2*x^7-2*x^5)/(1+x) revogf] A049187 22.8658 [x*(1-2*x^4+2*x^7-2*x^5)/(1+x) revogf] A049188 20.1642 [x*(1-2*x^2+2*x^4+2*x^7)/(1+x) revogf] A049189 21.9176 [x*(1-2*x^2-2*x^3+2*x^7)/(1+x) revogf] A049194 8.34190 [-(2+2*x+2*x^5+3*x^6-2*x^7+x^8-6*x^3+4*x^2-8*x^4)/(x-1)/(x+1)/(x^3+x-1)/(x^5+x^4-x^3-x-1) lgdogf] A049194 9.72523 [-(x^5+x^4-x^3-x-1)/(x-1)/(x+1)/(x^3+x-1) ogf] A049206 11.0869 [-x*(x^3-2*x^2+x-1)/(x^2+1)/(x-1)^2 ogf] A049206 15.0014 [-(-1-x+x^5+2*x^3-2*x^2-3*x^4)/(x-1)/(1+x^2)/(x^3-2*x^2+x-1) lgdogf] A049206 5.57788 [{a(n+5)-2*a(n+4)+2*a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=2,a(4)=3} ogf] A049206 6.32421 [(5*f(x)-27)*(f(x)*x^4-2*f(x)*x^3+x^4+2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-x) ogf] A049209 10.3508 [1/7*x*(7-21*x+35*x^2-35*x^3+21*x^4-7*x^5+x^6) revegf] A049209 31.0523 [-6+(1-7*x)*f(x) lgdegf] A049209 5.35525 [{(-7*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A049210 10.1552 [-1/8*x*(x-2)*(x^2-2*x+2)*(x^4-4*x^3+6*x^2-4*x+2) revegf] A049210 32.4966 [-7+(1-8*x)*f(x) lgdegf] A049210 5.59866 [{(-8*n-15)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A049211 10.1164 [64+(-16+144*x)*f(x)+(81*x^2+1-18*x)*f(x)^2 lgdegf] A049212 26.8854 [-9+(1-10*x)*f(x) lgdegf] A049212 4.89692 [{(-10*n-19)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A049212 6.82804 [-1/10*x*(x-2)*(x^4-3*x^3+4*x^2-2*x+1)*(x^4-5*x^3+10*x^2-10*x+5) revegf] A049219 11.5514 [(-1+3*x+6*x^3-6*x^2)/(x-1)/(-1+2*x)/(4*x^3-7*x^2+5*x-1) lgdogf] A049219 4.87490 [{-a(n+4)+5*a(n+3)-7*a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=10} ogf] A049219 5.27123 [-(-3+5*f(x))*(4*f(x)*x^3-7*f(x)*x^2-2*x^3+5*f(x)*x+5*x^2-f(x)-4*x+1) ogf] A049219 9.39655 [(2*x-1)*(x-1)^2/(4*x^3-7*x^2+5*x-1) ogf] A049220 13.1147 [-(-3+9*x+4*x^3-12*x^2)/(x-1)/(4*x^3-7*x^2+5*x-1) lgdogf] A049220 4.74699 [{a(n+3)-5*a(n+2)+7*a(n+1)-4*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=9} ogf] A049220 6.5577 [4*f(x)*x^3+x^4-7*f(x)*x^2-2*x^3+5*f(x)*x+x^2-f(x) ogf] A049220 9.21880 [-x^2*(x-1)^2/(4*x^3-7*x^2+5*x-1) ogf] A049221 4.57756 [{a(n+5)-5*a(n+4)+7*a(n+3)-4*a(n+2),a(0)=1,a(1)=0,a(2)=1,a(3)=4,a(4)=14} ogf] A049221 5.53922 [f(x)*(4*f(x)*x^3+x^4-7*f(x)*x^2-5*x^3+5*f(x)*x+8*x^2-f(x)-5*x+1) ogf] A049221 8.56062 [-(x^2-3*x+1)*(x-1)^2/(4*x^3-7*x^2+5*x-1) ogf] A049221 9.83758 [2*x*(-1+2*x)*(x^3-2*x^2+x-1)/(x-1)/(x^2-3*x+1)/(4*x^3-7*x^2+5*x-1) lgdogf] A049222 10.9252 [x^3*(x-1)/(4*x^3-7*x^2+5*x-1) ogf] A049222 13.5328 [-(-4+14*x+8*x^3-19*x^2)/(x-1)/(4*x^3-7*x^2+5*x-1) lgdogf] A049222 4.72652 [{-a(n+5)+5*a(n+4)-7*a(n+3)+4*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=4} ogf] A049222 6.22842 [-f(x)*(4*f(x)*x^3-x^4-7*f(x)*x^2+x^3+5*f(x)*x-f(x)) ogf] A049293 4.07429 [(69*f(x)-16)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+14*x^3-12*f(x)*x-4*x^2+f(x)) ogf] A049293 7.30685 [-(17-188*x-1296*x^3+761*x^2+756*x^4)/(x-1)/(6*x-1)/(3*x-1)/(7*x-2)/(-1+2*x) lgdogf] A049293 7.48788 [-2*x^2*(7*x-2)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A049294 10.1310 [-(13-40*x+96*x^3-44*x^2)/(x-1)/(6*x-1)/(-1+2*x)/(4*x+1) lgdogf] A049294 10.3489 [-(4*x+1)/(x-1)/(6*x-1)/(2*x-1) ogf] A049294 4.90680 [{a(n+3)-9*a(n+2)+20*a(n+1)-12*a(n),a(0)=1,a(1)=13,a(2)=97} ogf] A049294 5.03707 [(24515*f(x)-17346)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x-f(x)+4*x+1) ogf] A049295 6.27750 [(264*x^3+116*x^2-34*x-1)/(x-1)/(6*x-1)/(24*x-1)/(2*x-1)/(4*x-1) ogf] A049308 11.0279 [-36*f(x)^3*x^2+12*f(x)^3*x-f(x)^3+1 egf] A049308 27.4340 [1/3*x*(3-6*x+4*x^2) revegf] A049308 5.98131 [{(-6*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A049308 52.1247 [-4/(6*x-1) lgdegf] A049332 12.3429 [-(5*x^2-2)/(x-1)/(2*x-1)/(x+1) ogf] A049332 13.5232 [-2*(2-3*x-x^2+5*x^4)/(x-1)/(-1+2*x)/(x+1)/(5*x^2-2) lgdogf] A049332 6.28165 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=4,a(2)=5} ogf] A049332 6.5143 [(9*f(x)+67)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+5*x^2+f(x)-2) ogf] A049341 12.0348 [-3*(x^7+3*x^6+x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A049342 9.62540 [-(x^7+3*x^6+x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A049347 20.8628 [1/(x^2+x+1) ogf] A049347 27.4705 [[x^2-1] ogf_with_Euler_transform] A049347 52.2478 [-(2*x+1)/(x^2+1+x) lgdogf] A049347 8.09966 [-(f(x)-2)*(f(x)*x^2+f(x)*x+f(x)-1) ogf] A049347 8.39599 [{-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-1} ogf] A049348 10.2657 [-(4+12*x+18*x^3+15*x^2+9*x^4)/(3*x^2+3*x+1)/(3*x^3+3*x^2+x-1) lgdogf] A049348 10.4819 [-(3*x^2+3*x+1)/(3*x^3+3*x^2+x-1) ogf] A049348 15.6552 [1/3*(((10*x+1)*(1+x)^2)^(1/3)-1-x)/(1+x) revogf] A049348 5.55993 [-(f(x)-1)*(3*f(x)*x^3+3*f(x)*x^2+f(x)*x+3*x^2-f(x)+3*x+1) ogf] A049348 5.65835 [{a(n+3)-a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A049349 13.1691 [-1/4*((1+x)^(1/4)-(17*x+1)^(1/4))/(1+x)^(1/4) revogf] A049349 4.20243 [(268*f(x)-15)*(16*f(x)*x^4+16*f(x)*x^3+6*f(x)*x^2+16*x^3+f(x)*x+16*x^2-f(x)+6*x+1) ogf] A049349 6.10936 [-(7+44*x+512*x^5+256*x^6+224*x^3+116*x^2+448*x^4)/(2*x+1)/(8*x^2+4*x+1)/(16*x^4+16*x^3+6*x^2+x-1) lgdogf] A049349 7.47099 [-(2*x+1)*(8*x^2+4*x+1)/(16*x^4+16*x^3+6*x^2+x-1) ogf] A049350 11.7166 [1/5*(-(1+x)^(1/5)+(26*x+1)^(1/5))/(1+x)^(1/5) revogf] A049350 5.13553 [-(125*x^4+125*x^3+50*x^2+10*x+1)/(125*x^5+125*x^4+50*x^3+10*x^2+x-1) ogf] A049351 13.4475 [-1/6*((1+x)^(1/6)-(37*x+1)^(1/6))/(1+x)^(1/6) revogf] A049351 4.71084 [-(3*x+1)*(12*x^2+6*x+1)*(36*x^2+6*x+1)/(1296*x^6+1296*x^5+540*x^4+120*x^3+15*x^2+x-1) ogf] A049376 24.0426 [-(4-6*x+3*x^2)/(x-1)^3 lgdegf] A049376 3.97479 [{(-n^3-3*n^2-2*n)*a(n)+(3*n^2+9*n+6)*a(n+1)+(-3*n-7)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A049377 17.9016 [-(-5+12*x+4*x^3-12*x^2)/(x-1)^4 lgdegf] A049378 13.4769 [-(6-20*x-20*x^3+30*x^2+5*x^4)/(x-1)^5 lgdegf] A049380 29.1937 [-10+(1-25*x)*f(x) lgdogf] A049380 4.74191 [{(-n-2)*a(n+2)+(35+25*n)*a(n+1),a(0)=1,a(1)=10} ogf] A049381 30.0092 [-15+(1-25*x)*f(x) lgdogf] A049381 4.87147 [{(-n-2)*a(n+2)+(40+25*n)*a(n+1),a(0)=1,a(1)=15} ogf] A049382 30.6616 [-20+(1-25*x)*f(x) lgdogf] A049382 4.97511 [{(-n-2)*a(n+2)+(45+25*n)*a(n+1),a(0)=1,a(1)=20} ogf] A049388 15.3170 [(-1+(1+7*x)^(1/7))/(1+7*x)^(1/7) revegf] A049388 5.69861 [{(-n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A049388 5.83114 [1/(x-1)^8 egf] A049388 61.2682 [-8/(x-1) lgdegf] A049389 15.7597 [(-1+(1+8*x)^(1/8))/(1+8*x)^(1/8) revegf] A049389 38.7932 [-9+(1-x)*f(x) lgdegf] A049389 5.79375 [{(-n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A049390 26.9557 [-20+(-1+25*x)*f(x) lgdogf] A049390 4.28967 [{(n+2)*a(n+2)+(-5-25*n)*a(n+1),a(0)=1,a(1)=-20} ogf] A049391 27.5719 [-15+(-1+25*x)*f(x) lgdogf] A049391 4.35322 [{(n+2)*a(n+2)+(-10-25*n)*a(n+1),a(0)=1,a(1)=-15} ogf] A049392 28.1880 [-10+(-1+25*x)*f(x) lgdogf] A049392 4.45687 [{(n+2)*a(n+2)+(-15-25*n)*a(n+1),a(0)=1,a(1)=-10} ogf] A049393 38.7650 [-5+(-1+25*x)*f(x) lgdogf] A049393 5.86255 [{(n+2)*a(n+2)+(-20-25*n)*a(n+1),a(0)=1,a(1)=-5} ogf] A049394 31.6401 [-30+(1-25*x)*f(x) lgdogf] A049394 5.13059 [{(-n-2)*a(n+2)+(55+25*n)*a(n+1),a(0)=1,a(1)=30} ogf] A049395 32.2925 [-35+(1-25*x)*f(x) lgdogf] A049395 5.23423 [{(-n-2)*a(n+2)+(60+25*n)*a(n+1),a(0)=1,a(1)=35} ogf] A049396 32.6187 [-40+(1-25*x)*f(x) lgdogf] A049396 5.28606 [{(-n-2)*a(n+2)+(65+25*n)*a(n+1),a(0)=1,a(1)=40} ogf] A049397 28.5142 [-45+(1-25*x)*f(x) lgdogf] A049397 4.63152 [{(-n-2)*a(n+2)+(70+25*n)*a(n+1),a(0)=1,a(1)=45} ogf] A049398 16.2910 [(-1+(1+9*x)^(1/9))/(1+9*x)^(1/9) revegf] A049398 37.2365 [-10+(1-x)*f(x) lgdegf] A049398 5.91826 [{(-n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A049402 11.6476 [-(-7+30*x+6*x^5+60*x^3-60*x^2-30*x^4)/(x-1)^6 lgdegf] A049412 7.15628 [(-25*n-55)*a(n+1)+(10*n+26)*a(n+2)+(-n-3)*a(n+3),a(0)=7,a(1)=36,a(2)=183 lgdegf] A049425 120.550 [(x+1)^2 lgdegf] A049425 4.98186 [{(-n^2-5*n-6)*a(n+1)+(-2*n-6)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=9} ogf] A049426 29.6841 [1+3*x+3*x^2+x^3-f(x) lgdegf] A049426 3.23989 [{(n+5)*a(n+5)-a(n+4)-3*a(n+3)-3*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=8/3,a(4)=19/6} egf] A049427 11.6245 [1+4*x+4*x^3+6*x^2+x^4+(4*x+6*x^2+4*x^3+x^4)*f(x)-f(x)^2 lgdegf] A049428 12.6891 [(-n-2)*a(n+2)+(4-n)*a(n+1),a(0)=1,a(1)=5 lgdegf] A049431 24.1391 [(x+1)^5 lgdegf] A049434 6.05096 [1/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A049440 3.89537 [-(x^5+91*x^4-534*x^3-370*x^2+181*x-9)/(x-1)/(x+1)/(x^2-18*x+1)/(x^2+4*x-1) ogf] A049447 5.76820 [-1/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A049450 13.3567 [-2*x*(2*x+1)/(x-1)^3 ogf] A049450 34.0869 [-(4*x+5)/(2*x+1)/(x-1) lgdogf] A049450 6.73746 [-(27*f(x)-52)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+2*x) ogf] A049450 6.79761 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=10} ogf] A049451 13.3567 [-2*x*(x+2)/(x-1)^3 ogf] A049451 37.4956 [-(2*x+7)/(x+2)/(x-1) lgdogf] A049451 6.79761 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=14} ogf] A049451 8.14511 [-(81*f(x)-190)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+4*x) ogf] A049452 13.1312 [-x*(7*x+5)/(x-1)^3 ogf] A049452 29.4878 [-2*(7*x+11)/(7*x+5)/(x-1) lgdogf] A049452 6.39725 [(107568*f(x)-424337)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+5*x) ogf] A049452 6.68285 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=22} ogf] A049453 13.1972 [-x*(5*x+7)/(x-1)^3 ogf] A049453 29.6383 [-2*(5*x+13)/(5*x+7)/(x-1) lgdogf] A049453 6.4294 [(131760*f(x)-573667)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+7*x) ogf] A049453 6.71643 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=26} ogf] A049480 11.1978 [(x^2-x+1)*(x+1)/(x-1)^4 ogf] A049480 19.8057 [-(4+x^3+3*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A049480 24.9317 [-x^5+x^2+4 ogf_with_Euler_transform] A049480 3.91323 [{(-n^2-7*n-10)*a(n+1)+(2*n^2+10*n+4)*a(n+2)+(-n^2-3*n)*a(n+3),a(0)=1,a(1)=4,a(2)=10,a(3)=21} ogf] A049480 5.59892 [(1376*f(x)+341)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)-1) ogf] A049486 7.68927 [-(x^5-x^4+3*x^3+2*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A049486 8.18890 [(-4-12*x-2*x^5+x^6-6*x^3-19*x^2-6*x^4)/(x-1)/(x+1)/(x^5-x^4+3*x^3+2*x^2+2*x+1) lgdogf] A049548 5.90647 [x*(32*x^10+16*x^9-12*x^8-12*x^7-17*x^6-x^4-6*x^3-2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A049598 10.0427 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+12*x ogf] A049598 17.0288 [-12*x/(x-1)^3 ogf] A049598 6.93210 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=36} ogf] A049598 96.4968 [-3/(x-1) lgdogf] A049601 11.3792 [-(-3-12*x-16*x^3+27*x^2+3*x^4)/(x-2)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A049601 5.0895 [(24*f(x)-85)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2-x^3+2*f(x)*x+2*x^2-f(x)) ogf] A049601 9.66268 [x^2*(x-2)/(x^2-3*x+1)/(x^2-x-1) ogf] A049602 10.2573 [x*(x-1)/(x^2-3*x+1)/(x^2-x-1) ogf] A049602 11.5197 [-(-1-6*x-12*x^3+15*x^2+3*x^4)/(x-1)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A049602 5.3338 [(9*f(x)+1)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2-f(x)+x) ogf] A049608 2.26657 [8*f(x)^2*x^4-48*x^3*f(x)^2+f(x)*x^4+8*f(x)^2*x^2-6*f(x)*x^3+2*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A049610 11.4731 [4*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x) ogf] A049610 12.6993 [-x^2*(x-1)/(2*x-1)^2 ogf] A049610 28.9650 [-(2*x-3)/(-1+2*x)/(x-1) lgdogf] A049610 6.00948 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A049611 10.2039 [-x*(x-1)^2/(2*x-1)^3 ogf] A049611 28.8417 [-2*(x-2)/(-1+2*x)/(x-1) lgdogf] A049611 5.06361 [{a(n+4)-6*a(n+3)+12*a(n+2)-8*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=13} ogf] A049611 5.61216 [-(5*f(x)-4)*(8*f(x)*x^3-12*f(x)*x^2+x^3+6*f(x)*x-2*x^2-f(x)+x) ogf] A049612 25.5428 [-(-5+2*x)/(-1+2*x)/(x-1) lgdogf] A049612 4.18063 [-(14*f(x)+9)*(16*f(x)*x^4-32*f(x)*x^3+x^4+24*f(x)*x^2-3*x^3-8*f(x)*x+3*x^2+f(x)-x) ogf] A049612 5.14805 [{(-1-n)*a(n+2)+(5+3*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1} ogf] A049612 7.41564 [-x*(x-1)^3/(2*x-1)^4 ogf] A049624 3.51600 [(x^3+x^2+1)/(x+1)/(x-1)^2 ogf] A049625 10.4188 [(x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A049626 4.61852 [(x^5+2*x^4+2*x^3+3*x^2+3*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A049629 11.2838 [-1/2*(-1-18*x+(1+40*x+320*x^2)^(1/2))/(x-1) revogf] A049629 14.7031 [-(-19+2*x+x^2)/(x+1)/(x^2-18*x+1) lgdogf] A049629 15.8744 [(x+1)/(x^2-18*x+1) ogf] A049629 8.20473 [(340*f(x)+21)*(f(x)*x^2-18*f(x)*x+f(x)-x-1) ogf] A049629 8.69311 [{-a(n+2)+18*a(n+1)-a(n),a(0)=1,a(1)=19} ogf] A049636 13.4058 [-(x+2)*(x^2-x-1)/(x+1)/(x-1)^2 ogf] A049636 7.00759 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=2,a(1)=5,a(2)=6,a(3)=8} ogf] A049636 7.58198 [(15*f(x)+266)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x+x^2+f(x)-3*x-2) ogf] A049636 8.01755 [-(-5-7*x+2*x^3-2*x^2)/(x-1)/(x+2)/(x+1)/(x^2-x-1) lgdogf] A049637 10.5353 [-(x^5+2*x^4-2*x^3-6*x^2-6*x-2)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A049638 4.70026 [-(x^5+2*x^4-3*x^3-7*x^2-7*x-2)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A049651 10.2316 [x*(x+1)/(x-1)/(x^2+4*x-1) ogf] A049651 12.7510 [-2*(-3+3*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+4*x-1) lgdogf] A049651 5.25406 [{-a(n+3)+5*a(n+2)-3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A049651 5.45049 [(6*f(x)+1)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x-x^2+f(x)-x) ogf] A049652 14.0715 [x/(x-1)/(x^2+4*x-1) ogf] A049652 17.1977 [-(-5+6*x+3*x^2)/(x-1)/(x^2+4*x-1) lgdogf] A049652 5.19757 [{a(n+3)-5*a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A049652 5.54741 [-(29*f(x)+3)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)-x) ogf] A049654 4.11538 [(2930176305*f(x)-273046016)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x+4*x^2-f(x)+11*x) ogf] A049654 4.50564 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=532} ogf] A049654 8.71090 [-x*(4*x+11)/(x-1)/(x^2-47*x+1) ogf] A049654 9.35508 [-(532-1056*x+8*x^3-159*x^2)/(4*x+11)/(x-1)/(x^2-47*x+1) lgdogf] A049655 10.0888 [-(-287+576*x+2*x^3-66*x^2)/(x-6)/(x-1)/(x^2-47*x+1) lgdogf] A049655 10.1200 [3*x*(x-6)/(x-1)/(x^2-47*x+1) ogf] A049655 5.23446 [{-a(n+3)+48*a(n+2)-48*a(n+1)+a(n),a(0)=0,a(1)=18,a(2)=861} ogf] A049655 5.32629 [(287*f(x)+108)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x-3*x^2-f(x)+18*x) ogf] A049656 11.7835 [-(11*x+4)/(x-1)/(x^2-47*x+1) ogf] A049656 5.23711 [(943542352305*f(x)-9511085404)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x-f(x)+11*x+4) ogf] A049656 5.54518 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=4,a(1)=203,a(2)=9552} ogf] A049656 8.68491 [-(203-384*x+22*x^3-516*x^2)/(11*x+4)/(x-1)/(x^2-47*x+1) lgdogf] A049657 4.15654 [(80337762855*f(x)-3780999179)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x+x^2-f(x)+29*x) ogf] A049657 4.58285 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=0,a(1)=29,a(2)=1393} ogf] A049657 8.93657 [-x*(x+29)/(x-1)/(x^2-47*x+1) ogf] A049657 9.96358 [-(1393-2784*x+2*x^3+39*x^2)/(x-1)/(x+29)/(x^2-47*x+1) lgdogf] A049658 3.69884 [(550643850855*f(x)-14480278261)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x-f(x)+29*x+1) ogf] A049658 3.98096 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=1,a(1)=77,a(2)=3648} ogf] A049658 8.38845 [-(29*x+1)/(x-1)/(x^2-47*x+1) ogf] A049658 8.50364 [-(77-96*x+58*x^3-1389*x^2)/(x-1)/(29*x+1)/(x^2-47*x+1) lgdogf] A049659 3.55108 [-(53392758965*f(x)-295420189)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x-x^2-f(x)+29*x+2) ogf] A049659 4.05839 [{-a(n+3)+48*a(n+2)-48*a(n+1)+a(n),a(0)=2,a(1)=125,a(2)=5903} ogf] A049659 7.26757 [-(-125+194*x-58*x^3+1338*x^2+x^4)/(x-1)/(x^2-47*x+1)/(x^2-29*x-2) lgdogf] A049659 7.54606 [(x^2-29*x-2)/(x-1)/(x^2-47*x+1) ogf] A049660 10.9017 [-1/2*(-18*x-1+(1+16*x)^(1/2)*(20*x+1)^(1/2))/x revogf] A049660 11.0416 [-f(x)*x^2+18*f(x)*x-f(x)+x ogf] A049660 19.4853 [x/(x^2-18*x+1) ogf] A049660 23.8799 [-2*(x-9)/(x^2+1-18*x) lgdogf] A049660 8.07926 [{a(n+2)-18*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A049661 11.1520 [-2*(29-57*x+x^3-5*x^2)/(x-1)/(x+3)/(x^2+1-18*x) lgdogf] A049661 4.67231 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=58} ogf] A049661 5.2737 [f(x)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)+3*x) ogf] A049661 9.02785 [-x*(x+3)/(x-1)/(x^2-18*x+1) ogf] A049662 10.8125 [-2*(-47+95*x+x^3-17*x^2)/(x-1)/(x-5)/(x^2+1-18*x) lgdogf] A049662 11.7778 [x*(x-5)/(x-1)/(x^2-18*x+1) ogf] A049662 6.09551 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=94} ogf] A049662 6.88008 [f(x)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-x^2-f(x)+5*x) ogf] A049663 11.7717 [-(3*x+1)/(x-1)/(x^2-18*x+1) ogf] A049663 5.5337 [(43080352*f(x)-822841)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-f(x)+3*x+1) ogf] A049663 5.53370 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=1,a(1)=22,a(2)=399} ogf] A049663 9.51379 [-2*(x+1)*(3*x^2-30*x+11)/(x-1)/(3*x+1)/(x^2+1-18*x) lgdogf] A049664 15.4070 [-x/(x-1)/(x^2-18*x+1) ogf] A049664 18.6762 [-(19-38*x+3*x^2)/(x-1)/(x^2+1-18*x) lgdogf] A049664 5.81139 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=19} ogf] A049664 8.38606 [f(x)*x^3-19*f(x)*x^2+19*f(x)*x-f(x)+x ogf] A049665 11.9250 [x*(x-13)/(x-1)/(x^2-18*x+1) ogf] A049665 6.16809 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=0,a(1)=13,a(2)=246} ogf] A049665 6.74999 [-f(x)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-x^2-f(x)+13*x) ogf] A049665 9.17087 [-2*(-123+247*x+x^3-29*x^2)/(x-1)/(x-13)/(x^2+1-18*x) lgdogf] A049666 14.7222 [1/2/x*(-11*x-1+(125*x^2+22*x+1)^(1/2)) revogf] A049666 14.9547 [-x/(x^2+11*x-1) ogf] A049666 25.4293 [-(11+2*x)/(x^2-1+11*x) lgdogf] A049666 6.93021 [{-a(n+2)+11*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A049666 9.47128 [-f(x)*x^2-11*f(x)*x+f(x)-x ogf] A049667 14.9862 [1/2/x*(-29*x-1+(845*x^2+58*x+1)^(1/2)) revogf] A049667 15.2099 [-x/(x^2+29*x-1) ogf] A049667 25.8852 [-(29+2*x)/(x^2-1+29*x) lgdogf] A049667 7.04848 [{-a(n+2)+29*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A049667 9.63293 [-f(x)*x^2-29*f(x)*x+f(x)-x ogf] A049668 10.9079 [-f(x)*x^2+47*f(x)*x-f(x)+x ogf] A049668 12.1150 [-1/2*(-1-47*x+(45*x+1)^(1/2)*(49*x+1)^(1/2))/x revogf] A049668 19.2492 [x/(x^2-47*x+1) ogf] A049668 24.2300 [-(-47+2*x)/(x^2-47*x+1) lgdogf] A049668 7.98137 [{a(n+2)-47*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A049669 11.0181 [1/2/x*(-1-76*x+(1+152*x+5780*x^2)^(1/2)) revogf] A049669 11.8063 [-x/(x^2+76*x-1) ogf] A049669 20.0329 [-2*(38+x)/(x^2-1+76*x) lgdogf] A049669 5.47122 [{-a(n+2)+76*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A049669 7.47733 [-f(x)*x^2-76*f(x)*x+f(x)-x ogf] A049670 11.2267 [-f(x)*x^2+123*f(x)*x-f(x)+x ogf] A049670 16.1079 [-(-123+2*x)/(x^2+1-123*x) lgdogf] A049670 19.5666 [x/(x^2-123*x+1) ogf] A049670 8.21831 [-1/2*(-123*x-1+(121*x+1)^(1/2)*(125*x+1)^(1/2))/x revogf] A049670 8.25096 [{a(n+2)-123*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A049671 3.90748 [(1177*f(x)+391)*(f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2-x^3+8*f(x)*x-5*x^2-f(x)+2*x) ogf] A049671 7.38673 [x*(x^2+5*x-2)/(x^2-7*x+1)/(x^2+x-1) ogf] A049671 7.57492 [-(-11+30*x+2*x^5-68*x^3-7*x^2+9*x^4)/(x^2-7*x+1)/(x^2+5*x-2)/(x^2+x-1) lgdogf] A049672 3.69337 [-(142417*f(x)+31532)*(f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2-2*x^3+8*f(x)*x+2*x^2-f(x)+x) ogf] A049672 7.36450 [-2*(-5+9*x+2*x^5+10*x^3+8*x^2-9*x^4)/(x^2-7*x+1)/(2*x^2-2*x-1)/(x^2+x-1) lgdogf] A049672 7.38673 [x*(2*x^2-2*x-1)/(x^2-7*x+1)/(x^2+x-1) ogf] A049673 10.0421 [-x*(x^2+2*x-1)/(x^2+x-1)/(x^2+4*x-1) ogf] A049673 5.47068 [(19*f(x)-5)*(f(x)*x^4+5*f(x)*x^3+2*f(x)*x^2+x^3-5*f(x)*x+2*x^2+f(x)-x) ogf] A049673 8.87985 [-(3-6*x+2*x^5+16*x^3-6*x^2+11*x^4)/(x^2+x-1)/(x^2+2*x-1)/(x^2+4*x-1) lgdogf] A049674 12.1285 [x^2/(x^2+x-1)/(x^2+4*x-1) ogf] A049674 13.3623 [-(-5+4*x+4*x^3+15*x^2)/(x^2+x-1)/(x^2+4*x-1) lgdogf] A049674 4.75437 [-(2*f(x)-1)*(f(x)*x^4+5*f(x)*x^3+2*f(x)*x^2-5*f(x)*x-x^2+f(x)) ogf] A049675 4.47233 [-(5*f(x)+1)*(f(x)*x^4+5*f(x)*x^3+2*f(x)*x^2+x^3-5*f(x)*x+f(x)-x) ogf] A049675 8.47050 [-(5-6*x+2*x^5-4*x^3-10*x^2+5*x^4)/(x-1)/(x+1)/(x^2+x-1)/(x^2+4*x-1) lgdogf] A049675 8.87585 [-x*(x-1)*(x+1)/(x^2+x-1)/(x^2+4*x-1) ogf] A049676 12.0631 [-1/2*(-1-47*x+(1+70*x+2205*x^2)^(1/2))/(x+6) revogf] A049676 13.6821 [-(6*x-1)/(x^2-47*x+1) ogf] A049676 14.7438 [-(41-2*x+6*x^2)/(6*x-1)/(x^2-47*x+1) lgdogf] A049676 6.62503 [-(1925*f(x)-244)*(f(x)*x^2-47*f(x)*x+f(x)+6*x-1) ogf] A049676 7.49260 [{a(n+2)-47*a(n+1)+a(n),a(0)=1,a(1)=41} ogf] A049677 10.4976 [-1/2*(-3-47*x+(9+266*x+2205*x^2)^(1/2))/(4+x) revogf] A049677 12.7673 [-(137-6*x+4*x^2)/(4*x-3)/(x^2-47*x+1) lgdogf] A049677 16.2602 [-(4*x-3)/(x^2-47*x+1) ogf] A049677 7.87335 [-(6433*f(x)-530)*(f(x)*x^2-47*f(x)*x+f(x)+4*x-3) ogf] A049677 8.79961 [{a(n+2)-47*a(n+1)+a(n),a(0)=3,a(1)=137} ogf] A049678 13.8630 [(x+1)/(x^2-47*x+1) ogf] A049678 14.8128 [-(x+8)*(x-6)/(x+1)/(x^2-47*x+1) lgdogf] A049678 7.0855 [(1127*f(x)+25)*(f(x)*x^2-47*f(x)*x+f(x)-x-1) ogf] A049678 7.59162 [{-a(n+2)+47*a(n+1)-a(n),a(0)=1,a(1)=48} ogf] A049678 9.98253 [-1/2*(-1-47*x+((35*x+1)*(63*x+1))^(1/2))/(x-1) revogf] A049679 10.4989 [-1/2*(-6-47*x+(36+560*x+2205*x^2)^(1/2))/(1+x) revogf] A049679 14.2044 [-(281-12*x+x^2)/(x-6)/(x^2-47*x+1) lgdogf] A049679 14.4657 [-(x-6)/(x^2-47*x+1) ogf] A049679 6.93147 [-(13195*f(x)-209)*(f(x)*x^2-47*f(x)*x+f(x)+x-6) ogf] A049679 7.82849 [{a(n+2)-47*a(n+1)+a(n),a(0)=6,a(1)=281} ogf] A049680 4.632 [-(5*f(x)-1)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x+3*x^2-f(x)-6*x+2) ogf] A049680 8.20234 [-(2-6*x+6*x^5+x^6+24*x^3-3*x^2-21*x^4)/(x-1)/(x^2-3*x+1)/(x^2+4*x-2)/(x^2+x-1) lgdogf] A049680 8.48196 [-(x-1)*(x^2+4*x-2)/(x^2-3*x+1)/(x^2+x-1) ogf] A049681 4.16448 [(5*f(x)-2)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+2*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A049681 7.58736 [-x*(2*x^2-2*x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A049681 7.88555 [-2*(-1+2*x)*(x^4-2*x^3+2*x^2-x-1)/(x^2-3*x+1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A049682 11.0927 [-x*(x+1)/(x-1)/(x^2-47*x+1) ogf] A049682 13.4577 [-(49-96*x+2*x^3-45*x^2)/(x-1)/(x+1)/(x^2-47*x+1) lgdogf] A049682 5.74098 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=49} ogf] A049682 5.94975 [(49*f(x)+1)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x+x^2-f(x)+x) ogf] A049683 11.2288 [-x*(x+1)/(x-1)/(x^2-18*x+1) ogf] A049683 5.62106 [-2*(10-19*x+x^3-8*x^2)/(x-1)/(x+1)/(x^2+1-18*x) lgdogf] A049683 5.81139 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=20} ogf] A049683 6.02272 [(20*f(x)+1)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)+x) ogf] A049684 10.4689 [-x*(x+1)/(x-1)/(x^2-7*x+1) ogf] A049684 13.0576 [-(-1+2*x)*(x^2-2*x-9)/(x-1)/(x+1)/(x^2-7*x+1) lgdogf] A049684 5.37591 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=9} ogf] A049684 5.57688 [(9*f(x)+1)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+x^2-f(x)+x) ogf] A049685 11.3197 [-(x-1)/(x^2-7*x+1) ogf] A049685 12.1368 [-1/2*(-7*x-1+(45*x^2+10*x+1)^(1/2))/(1+x) revogf] A049685 16.5870 [-(6-2*x+x^2)/(x-1)/(x^2-7*x+1) lgdogf] A049685 5.65987 [-(10*f(x)-1)*(f(x)*x^2-7*f(x)*x+f(x)+x-1) ogf] A049685 6.21205 [{a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=6} ogf] A049686 13.0067 [-f(x)*x^2+47*f(x)*x-f(x)+7*x ogf] A049686 20.5368 [7*x/(x^2-47*x+1) ogf] A049686 21.7821 [-(-47+2*x)/(x^2-47*x+1) lgdogf] A049686 9.45263 [-1/2*(-47*x-7+(45*x+7)^(1/2)*(7*x+1)^(1/2)*7^(1/2))/x revogf] A049686 9.51707 [{a(n+2)-47*a(n+1)+a(n),a(0)=0,a(1)=7} ogf] A049775 13.5871 [-(5*x-2)/(4*x-1)/(2*x-1) ogf] A049775 14.9720 [-(7-32*x+40*x^2)/(4*x-1)/(2*x-1)/(5*x-2) lgdogf] A049775 18.1478 [-(-1-3*x+(1+x+x^2)^(1/2))/(5+8*x) revogf] A049775 6.71892 [-(10*f(x)+29)*(8*f(x)*x^2-6*f(x)*x+f(x)+5*x-2) ogf] A049775 7.45635 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=2,a(1)=7} ogf] A049778 14.8543 [-(3+8*x^3+12*x+9*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A049778 8.03879 [(2*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A049779 15.8043 [-(5+4*x^3+16*x+7*x^2)/(x-1)/(x+1)/(2+x+x^2) lgdogf] A049779 9.12658 [(x^2+x+2)/(x+1)^2/(x-1)^4 ogf] A049853 11.4452 [(x-1)*(x+1)/(x^3-x^2+2*x-1) ogf] A049853 13.5802 [-(-2+4*x+x^4-5*x^2)/(x-1)/(x+1)/(x^3-x^2+2*x-1) lgdogf] A049853 5.82479 [-(7*f(x)-38)*(f(x)*x^3-f(x)*x^2+2*f(x)*x-x^2-f(x)+1) ogf] A049853 5.82479 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A049854 11.0416 [(2*x+1)*(x-1)/(x^3-x^2+2*x-1) ogf] A049854 11.5689 [-(-3+6*x+2*x^4-6*x^2-2*x^3)/(x-1)/(2*x+1)/(x^3-x^2+2*x-1) lgdogf] A049854 6.01371 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A049854 7.56781 [-f(x)*x^3+f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-1 ogf] A049855 11.0994 [(x+2)*(x-1)/(x^3-x^2+2*x-1) ogf] A049855 12.5086 [-(-3+6*x+x^4-9*x^2+2*x^3)/(x+2)/(x-1)/(x^3-x^2+2*x-1) lgdogf] A049855 6.04519 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=3} ogf] A049855 7.12233 [-(166*f(x)-845)*(f(x)*x^3-f(x)*x^2+2*f(x)*x-x^2-f(x)-x+2) ogf] A049856 13.1788 [x^2*(x-1)/(x^4-x^3+2*x-1) ogf] A049856 17.7029 [-(-1+3*x^4+3*x^2-6*x^3)/(x-1)/(x^4-x^3+2*x-1) lgdogf] A049856 9.03266 [f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x+x^2-f(x) ogf] A049858 11.8164 [-(-2+2*x-x^4+2*x^5+x^2-4*x^3)/(x-1)/(x+1)/(x^4-x^3+2*x-1) lgdogf] A049858 12.0020 [x*(x-1)*(x+1)/(x^4-x^3+2*x-1) ogf] A049858 8.0484 [-f(x)*x^4+f(x)*x^3+x^3-2*f(x)*x+f(x)-x ogf] A049859 10.6876 [x*(2*x+1)*(x-1)/(x^4-x^3+2*x-1) ogf] A049859 11.2150 [-(-3+4*x-5*x^4+4*x^5-x^2-2*x^3)/(x-1)/(2*x+1)/(x^4-x^3+2*x-1) lgdogf] A049859 5.93755 [(15*f(x)+28)*(f(x)*x^4-f(x)*x^3-2*x^3+2*f(x)*x+x^2-f(x)+x) ogf] A049860 10.2206 [x*(3*x+1)*(x-1)/(x^4-x^3+2*x-1) ogf] A049860 11.4710 [-(-4+6*x-9*x^4+6*x^5-3*x^2)/(x-1)/(3*x+1)/(x^4-x^3+2*x-1) lgdogf] A049860 5.62997 [(63*f(x)+130)*(f(x)*x^4-f(x)*x^3-3*x^3+2*f(x)*x+2*x^2-f(x)+x) ogf] A049861 10.1668 [x*(x+2)*(x-1)/(x^4-x^3+2*x-1) ogf] A049861 10.4895 [-(-3+2*x+2*x^4+2*x^5+4*x^2-10*x^3)/(x+2)/(x-1)/(x^4-x^3+2*x-1) lgdogf] A049861 5.6482 [(36*f(x)+35)*(f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x-x^2-f(x)+2*x) ogf] A049863 10.4895 [x*(x+3)*(x-1)/(x^4-x^3+2*x-1) ogf] A049863 10.8279 [-(-4+2*x+5*x^4+2*x^5+7*x^2-16*x^3)/(x-1)/(x+3)/(x^4-x^3+2*x-1) lgdogf] A049863 5.54324 [-(115*f(x)+182)*(f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x-2*x^2-f(x)+3*x) ogf] A049864 11.0622 [-(x+1)*(x-1)^2/(x^4-x^3+2*x-1) ogf] A049864 14.1312 [-(-1+x-x^4+x^5-x^2-3*x^3)/(x-1)/(x+1)/(x^4-x^3+2*x-1) lgdogf] A049864 6.15556 [{a(n+4)-2*a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A049864 6.4142 [(f(x)-1)*(f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)-x+1) ogf] A049866 5.53614 [(14*f(x)+5)*(f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)-x+1) ogf] A049866 9.56398 [-(-1-2*x+4*x^4-2*x^5+8*x^2-10*x^3+x^6)/(x-1)/(x^2+1)/(x^4-x^3+2*x-1) lgdogf] A049866 9.62807 [(x-1)*(x^2+1)/(x^4-x^3+2*x-1) ogf] A049867 5.51482 [(982*f(x)+577)*(f(x)*x^4-f(x)*x^3-2*x^3+2*f(x)*x+2*x^2-f(x)-x+1) ogf] A049867 9.10051 [-(-1-4*x+5*x^4-4*x^5+13*x^2-14*x^3+2*x^6)/(x-1)/(2*x^2+1)/(x^4-x^3+2*x-1) lgdogf] A049867 9.83077 [(x-1)*(2*x^2+1)/(x^4-x^3+2*x-1) ogf] A049868 10.2206 [-(x-1)*(x^2-x-1)/(x^4-x^3+2*x-1) ogf] A049868 10.4895 [-(2-4*x+2*x^4-4*x^5+4*x^2+x^6)/(x-1)/(x^2-x-1)/(x^4-x^3+2*x-1) lgdogf] A049868 5.58266 [-(7*f(x)+1)*(f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x-2*x^2-f(x)+1) ogf] A049870 12.0231 [(x-1)*(x^2+x+1)/(x^4-x^3+2*x-1) ogf] A049870 12.6666 [-(-2+6*x^2-8*x^3+x^6)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x-1) lgdogf] A049870 6.2873 [(22*f(x)+29)*(f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x-f(x)+1) ogf] A049871 5.58868 [(50*f(x)-833)*(f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x-3*x^2-f(x)+x+1) ogf] A049871 9.54048 [-(3-6*x+6*x^4-6*x^5+6*x^2-2*x^3+x^6)/(x-1)/(x^2-2*x-1)/(x^4-x^3+2*x-1) lgdogf] A049871 9.88143 [-(x-1)*(x^2-2*x-1)/(x^4-x^3+2*x-1) ogf] A049872 6.43941 [x*(89*x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A049873 10.3803 [-(2-2*x-5*x^4-2*x^5-x^2+8*x^3+x^6)/(x-1)/(x^2-2)/(x^4-x^3+2*x-1) lgdogf] A049873 5.51482 [-(4*f(x)-7)*(f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)-2*x+2) ogf] A049873 9.83077 [-(x-1)*(x^2-2)/(x^4-x^3+2*x-1) ogf] A049875 10.1717 [-(3-6*x-6*x^5+6*x^2+2*x^3+2*x^6)/(x-1)/(2*x^2-x-2)/(x^4-x^3+2*x-1) lgdogf] A049875 5.57167 [(391*f(x)-836)*(f(x)*x^4-f(x)*x^3+2*x^3+2*f(x)*x-3*x^2-f(x)-x+2) ogf] A049875 9.93212 [-(x-1)*(2*x^2-x-2)/(x^4-x^3+2*x-1) ogf] A049876 10.0335 [-(x-1)*(x-2)*(x+1)/(x^4-x^3+2*x-1) ogf] A049876 10.2776 [-(3-4*x-x^4-4*x^5+x^2+6*x^3+x^6)/(x-1)/(x-2)/(x+1)/(x^4-x^3+2*x-1) lgdogf] A049876 5.53847 [-(11*f(x)-20)*(f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x-2*x^2-f(x)-x+2) ogf] A050146 5.2198 [f(x)^2*x^2+f(x)*x^3-6*f(x)^2*x-8*f(x)*x^2-x^3+f(x)^2+13*f(x)*x+5*x^2-2*f(x)-7*x+1 ogf] A050147 4.33904 [-f(x)^2*x^2-f(x)*x^3+6*f(x)^2*x+7*f(x)*x^2-f(x)^2-7*f(x)*x+f(x)+4*x ogf] A050148 3.42284 [x^3*f(x)^2+f(x)*x^4-6*f(x)^2*x^2-6*f(x)*x^3+x^4+f(x)^2*x+2*f(x)*x^2-6*x^3-6*f(x)*x+f(x)-2*x-1 ogf] A050151 12.6329 [(-2*x^2+9*x-1+(x^2-6*x+1)^(1/2))/(x^2-6*x+1)/x lgdogf] A050151 4.50643 [{(n^2+5*n+6)*a(n+1)+(-6*n^2-33*n-45)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A050151 6.91776 [2*x^3*f(x)^2-12*f(x)^2*x^2+2*f(x)^2*x+f(x)*x^2-6*f(x)*x+f(x)-x ogf] A050152 4.12856 [4*f(x)^2*x^4-24*x^3*f(x)^2+4*f(x)^2*x^2-f(x)*x^3+7*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A050168 6.82202 [-2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-f(x)*x-x^2+f(x)-2*x-1 ogf] A050187 22.3719 [-4*(1+4*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A050187 4.20943 [{(n^2+5*n+6)*a(n+1)+(n+3)*a(n+2)+(-n^2-2*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A050187 9.34821 [-x^3*(x+3)/(x+1)^2/(x-1)^3 ogf] A050188 10.8345 [-(10+16*x+5*x^5+14*x^4+43*x^2+20*x^3)/(x-1)/(x+2)/(x^2+x+1)/(x^2+2) lgdogf] A050188 6.52385 [x*(x+2)*(x^2+2)/(x^2+x+1)^2/(x-1)^4 ogf] A050189 14.0595 [-2*(6+23*x+8*x^2+3*x^3)/(x-1)/(x+1)/(x^2+2*x+5) lgdogf] A050189 6.92403 [-x*(x^2+2*x+5)/(x+1)^3/(x-1)^5 ogf] A050228 14.0013 [-1/(x^3+x-1)/(x-1)^2 ogf] A050228 19.6626 [-(-3+3*x-3*x^2+5*x^3)/(x-1)/(x^3+x-1) lgdogf] A050231 12.3753 [x^2/(2*x-1)/(x^3+x^2+x-1) ogf] A050231 14.7505 [-(-3+2*x+3*x^2+8*x^3)/(-1+2*x)/(x^3+x^2+x-1) lgdogf] A050231 6.62517 [-2*f(x)*x^4-f(x)*x^3-f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A050232 10.3583 [x^3/(2*x-1)/(x^4+x^3+x^2+x-1) ogf] A050232 11.4258 [-(-3+2*x+10*x^4+3*x^2+4*x^3)/(-1+2*x)/(x^4+x^3+x^2+x-1) lgdogf] A050232 5.40046 [-2*f(x)*x^5-f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-f(x) ogf] A050233 9.34243 [x^4/(2*x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A050233 9.91735 [-(-3+2*x+12*x^5+5*x^4+3*x^2+4*x^3)/(-1+2*x)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A050250 12.9340 [9*(x+1)/(x-1)/(10*x^2-1) ogf] A050250 14.2550 [-2*(-1-10*x+10*x^2+10*x^3)/(x-1)/(x+1)/(10*x^2-1) lgdogf] A050250 6.08010 [{a(n+3)-a(n+2)-10*a(n+1)+10*a(n),a(0)=9,a(1)=18,a(2)=108} ogf] A050250 6.52634 [(112*f(x)+477)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+f(x)-9*x-9) ogf] A050253 11.4561 [-x^3*f(x)^2-f(x)*x^2+f(x)-x-1 ogf] A050253 16.0799 [1/2/(1+x+x^2)*(-1+(1+4*x+4*x^2+4*x^3)^(1/2)) revogf] A050262 4.78507 [-f(x)*x^4-f(x)^2*x^2-f(x)*x^3-f(x)^2*x+f(x)*x^2+f(x)*x+f(x)-x-1 ogf] A050267 15.2130 [-(8527-20174*x+11929*x^2)/(x-1)/(11929*x^2-22016*x+10181) lgdogf] A050271 8.08067 [(x^5-x^4+x^3-x^2-x-1)/(x^2+x+1)^2/(x-1)^3 ogf] A050297 13.3836 [-(-3-10*x+3*x^2)/(x-1)/(x^5-5*x^4+10*x^3-9*x^2+2*x-1) lgdogf] A050297 6.66892 [x*(x^5-5*x^4+10*x^3-9*x^2+2*x-1)/(x-1)^5 ogf] A050398 29.3601 [-1+exp(1/2*x*(x+2)) revegf] A050400 8.36102 [(x^4-12*x^3-24*x^2-4*x+5)/(x+1)/(x^4-6*x^2-2*x+1) ogf] A050401 3.83085 [-(5*x^7+8*x^6-75*x^5-56*x^4+135*x^3+120*x^2+7*x-8)/(x+1)/(x^2-2*x-1)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) ogf] A050402 6.55125 [-(x^5+17*x^4-20*x^3-72*x^2-13*x+7)/(x+1)/(x^2-2*x-1)/(x^3-x^2-5*x+1) ogf] A050403 24.0196 [-(13+36*x)/(6*x+1)/(x-1) lgdogf] A050403 3.85490 [{(n+3)*a(n+3)+(-3+5*n)*a(n+2)+(-42-6*n)*a(n+1),a(0)=1,a(1)=13,a(2)=70} ogf] A050403 6.62696 [-(6*x+1)/(x-1)^7 ogf] A050404 23.3254 [-14*(3*x+1)/(7*x+1)/(x-1) lgdogf] A050404 3.89846 [{(n+3)*a(n+3)+(-2+6*n)*a(n+2)+(-49-7*n)*a(n+1),a(0)=1,a(1)=14,a(2)=77} ogf] A050404 6.70184 [-(7*x+1)/(x-1)^7 ogf] A050405 23.3254 [-3*(5+16*x)/(8*x+1)/(x-1) lgdogf] A050405 3.89846 [{(n+3)*a(n+3)+(-1+7*n)*a(n+2)+(-56-8*n)*a(n+1),a(0)=1,a(1)=15,a(2)=84} ogf] A050405 6.70184 [-(8*x+1)/(x-1)^7 ogf] A050406 23.5920 [-2*(8+27*x)/(9*x+1)/(x-1) lgdogf] A050406 4.15950 [{(n+3)*a(n+3)+8*n*a(n+2)+(-63-9*n)*a(n+1),a(0)=1,a(1)=16,a(2)=91} ogf] A050406 6.77672 [-(9*x+1)/(x-1)^7 ogf] A050407 10.7593 [x*(3*x^2-3*x+1)/(x-1)^4 ogf] A050407 22.7612 [-(1-3*x+6*x^2)/(x-1)/(3*x^2-3*x+1) lgdogf] A050407 4.02785 [{(-3-n)*a(n+4)+(9+4*n)*a(n+3)+(-9-6*n)*a(n+2)+(6+3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A050407 5.73307 [-(f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+3*x^2+f(x)-x) ogf] A050408 11.6352 [-(109*x^2+7*x+1)/(x-1)^3 ogf] A050408 17.5262 [-(10+232*x+109*x^2)/(x-1)/(109*x^2+7*x+1) lgdogf] A050408 5.91142 [(106301*f(x)-4035254)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+109*x^2-f(x)+7*x+1) ogf] A050408 6.37406 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=136} ogf] A050409 11.3605 [x*(9*x+5)/(x-1)^4 ogf] A050409 30.3133 [-(27*x+29)/(9*x+5)/(x-1) lgdogf] A050409 4.82635 [{(10+5*n)*a(n+3)+(-25+4*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=0,a(1)=5,a(2)=29} ogf] A050409 5.20021 [(217269920*f(x)+1220738517)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-5*x) ogf] A050410 10.0158 [x*(4*x^2+9*x+1)/(x-1)^4 ogf] A050410 20.0067 [-(13+35*x+8*x^2)/(x-1)/(4*x^2+9*x+1) lgdogf] A050410 3.69271 [{(n+3)*a(n+4)+(3+8*n)*a(n+3)+(-40-5*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=13,a(3)=50} ogf] A050410 4.81023 [-(34475616*f(x)+116977279)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-9*x^2+f(x)-x) ogf] A050441 11.3237 [x*(10*x+1)/(x-1)^4 ogf] A050441 28.3221 [-2*(7+15*x)/(10*x+1)/(x-1) lgdogf] A050441 4.91688 [{(-2-n)*a(n+3)+(5-9*n)*a(n+2)+(30+10*n)*a(n+1),a(0)=0,a(1)=1,a(2)=14} ogf] A050441 5.22634 [-(9708314*f(x)+42335879)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-10*x^2+f(x)-x) ogf] A050442 13.6158 [-2*(1+7*x+2*x^4+6*x^2+8*x^3)/(x-1)/(x+1)/(x^3+3*x^2+x+1) lgdogf] A050442 7.29904 [4*x*(x^3+3*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A050443 15.0571 [(x^3-4)/(x^4+x^3-1) ogf] A050443 21.4610 [-x^2*(x^4-9-16*x)/(x^3-4)/(x^4+x^3-1) lgdogf] A050443 8.14315 [(48676*f(x)-188143)*(f(x)*x^4+f(x)*x^3-x^3-f(x)+4) ogf] A050468 99.9999 Evaluated at exp(-Pi) 9/256*exp(Pi)*Pi^(5/2)/GAMMA(3/4)^10 A050470 13.3343 [-(6*x^2+2*x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A050470 99.9999 Evaluated at exp(-Pi) 1/32*exp(Pi)*Pi^(3/2)/GAMMA(3/4)^6 A050476 10.92 [4*f(x)^2*x^2-f(x)^2*x+20*f(x)*x-5*f(x)+16*x+5 ogf] A050476 5.00750 [{(-32*n^2-112*n-96)*a(n+1)+(4*n^2+6*n-18)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=7,a(2)=26} ogf] A050476 8.38578 [-5/32-5/8*x-1/8*x^2+1/32*((4*x^2+20*x+1)*(5+2*x)^2)^(1/2) revogf] A050477 8.34618 [-3/25-12/25*x-2/25*x^2+1/25*((4*x^2+24*x+1)*(x+3)^2)^(1/2) revogf] A050477 9.38175 [4*f(x)^2*x^2-f(x)^2*x+24*f(x)*x-6*f(x)+25*x+6 ogf] A050478 6.01568 [4*f(x)^2*x^2-f(x)^2*x+28*f(x)*x-7*f(x)+36*x+7 ogf] A050478 8.25633 [-7/72-7/18*x-1/18*x^2+1/72*((4*x^2+28*x+1)*(7+2*x)^2)^(1/2) revogf] A050479 8.50366 [-4/49-16/49*x-2/49*x^2+1/49*((4*x^2+32*x+1)*(4+x)^2)^(1/2) revogf] A050479 9.53876 [4*f(x)^2*x^2-f(x)^2*x+32*f(x)*x-8*f(x)+49*x+8 ogf] A050483 29.6182 [-(11+21*x)/(3*x+1)/(x-1) lgdogf] A050483 4.73576 [{(n+3)*a(n+3)+(-7+2*n)*a(n+2)+(-24-3*n)*a(n+1),a(0)=1,a(1)=11,a(2)=60} ogf] A050483 7.39359 [(3*x+1)/(x-1)^8 ogf] A050484 28.4850 [-4*(3+7*x)/(1+4*x)/(x-1) lgdogf] A050484 4.55716 [{(n+3)*a(n+3)+(-6+3*n)*a(n+2)+(-32-4*n)*a(n+1),a(0)=1,a(1)=12,a(2)=68} ogf] A050484 7.11476 [(4*x+1)/(x-1)^8 ogf] A050485 6.73299 [-(13+35*x)/(5*x+1)/(x-1) lgdogf] A050486 34.1682 [-(9+7*x)/(x-1)/(x+1) lgdogf] A050486 36.4728 [[9-x] ogf_with_Euler_transform] A050486 5.72392 [{(-n-3)*a(n+3)+9*a(n+2)+(8+n)*a(n+1),a(0)=1,a(1)=9,a(2)=44} ogf] A050486 7.88499 [(x+1)/(x-1)^8 ogf] A050488 12.1696 [-x*(x+1)/(2*x-1)/(x-1)^2 ogf] A050488 18.9823 [-(-5+5*x+4*x^2)/(x-1)/(-1+2*x)/(x+1) lgdogf] A050488 6.24924 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A050488 8.16077 [2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)+x ogf] A050489 3.95362 [{(64*n^2+224*n+192)*a(n+1)+(-12*n^2-38*n-6)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=11,a(2)=42} ogf] A050489 8.76465 [4*f(x)^2*x^2-f(x)^2*x+36*f(x)*x-9*f(x)+64*x+9 ogf] A050490 8.55615 [-5/81-20/81*x-2/81*x^2+1/81*((4*x^2+40*x+1)*(x+5)^2)^(1/2) revogf] A050490 9.35265 [4*f(x)^2*x^2-f(x)^2*x+40*f(x)*x-10*f(x)+81*x+10 ogf] A050491 7.80158 [-11/200-11/50*x-1/50*x^2+1/200*((4*x^2+44*x+1)*(2*x+11)^2)^(1/2) revogf] A050491 9.28179 [4*f(x)^2*x^2-f(x)^2*x+44*f(x)*x-11*f(x)+100*x+11 ogf] A050492 10.1954 [(13*x^2+10*x+1)/(x-1)^4 ogf] A050492 17.7384 [-2*(7+28*x+13*x^2)/(x-1)/(13*x^2+10*x+1) lgdogf] A050492 5.24544 [(9516*f(x)+92275)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-13*x^2+f(x)-10*x-1) ogf] A050494 32.4884 [-2*(5+7*x)/(2*x+1)/(x-1) lgdogf] A050494 5.18763 [{(-n-3)*a(n+3)+(8-n)*a(n+2)+(16+2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=52} ogf] A050494 8.09906 [(2*x+1)/(x-1)^8 ogf] A050506 5.21752 [(x^25+x^23+x^21+x^19+x^17+x^15+x^13+x^11+x^9+x^6+x^4+x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A050509 10.9376 [(2*x^2+6*x+1)/(x-1)^4 ogf] A050509 20.5566 [-2*(x+5)*(2*x+1)/(x-1)/(2*x^2+6*x+1) lgdogf] A050509 3.77346 [{(n+4)*a(n+4)+(5+5*n)*a(n+3)+(-30-4*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=36,a(3)=88} ogf] A050509 5.31474 [(6455295*f(x)+28336709)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-6*x-1) ogf] A050511 3.44308 [{(-5*n-15)*a(n+1)+(-11*n-37)*a(n+2)+(-7*n-27)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=-3,a(2)=8,a(3)=-23} ogf] A050511 5.28289 [-f(x)^2*x^4-3*x^3*f(x)^2-3*f(x)^2*x^2-f(x)^2*x-f(x)*x^2-2*f(x)*x-f(x)+1 ogf] A050511 7.55590 [-1/2*(-x-1+(5*x+1)^(1/2)*(x+1)^(1/2)+4*(5*x+1)^(1/2)*(x+1)^(1/2)*x)/(5*x+1)^(1/2)/(x+1)^(3/2)/x lgdogf] A050518 11.7414 [-f(x)*x^2+2*f(x)*x-f(x)+583200 ogf] A050518 19.6491 [2*x/(540+(291600+2*x)^(1/2))^2 revogf] A050518 19.7751 [583200/(x-1)^2 ogf] A050518 73.6840 [-2/(x-1) lgdogf] A050518 8.08013 [{-a(n+2)+2*a(n+1)-a(n),a(0)=583200,a(1)=1166400} ogf] A050519 13.7511 [-f(x)*x^2+2*f(x)*x-f(x)+30 ogf] A050519 14.0907 [30*x/(15+(225+30*x)^(1/2))^2 revogf] A050519 24.2666 [30/(x-1)^2 ogf] A050519 49.3174 [-2/(x-1) lgdogf] A050519 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=30,a(1)=60} ogf] A050531 5.62341 [(x^6+x^4+2*x^3+x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^6 ogf] A050531 6.92958 [-2*(1+5*x+18*x^6+23*x^5+17*x^4+12*x^2+4*x^8+8*x^7+3*x^9+17*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^4+2*x^3+x^2+1) lgdogf] A050533 10.4602 [x*(x^2+2*x+5)/(x-1)^4 ogf] A050533 22.8040 [-2*(11+4*x+x^2)/(x-1)/(x^2+2*x+5) lgdogf] A050533 3.83718 [{(15+5*n)*a(n+4)+(-28-3*n)*a(n+3)+(-9-n)*a(n+2)+(-n-2)*a(n+1),a(0)=0,a(1)=5,a(2)=22,a(3)=59} ogf] A050533 5.57371 [(136*f(x)+297)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-5*x) ogf] A050534 11.8048 [-3*x^3/(x-1)^5 ogf] A050534 5.94962 [{(-1+n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A050534 7.03561 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3-10*f(x)*x^2+3*x^3+5*f(x)*x-f(x) ogf] A050534 92.5049 [-5/(x-1) lgdogf] A050621 11.5615 [-2*(6*x-1)/(10*x-1)/(2*x-1) ogf] A050621 12.3498 [-2*(3-20*x+60*x^2)/(6*x-1)/(-1+2*x)/(10*x-1) lgdogf] A050621 5.90374 [-(62*f(x)-43)*(20*f(x)*x^2-12*f(x)*x+f(x)+12*x-2) ogf] A050621 6.52884 [{a(n+2)-12*a(n+1)+20*a(n),a(0)=2,a(1)=12} ogf] A050622 14.6932 [2*(x^2+1)*(2*x^24-2*x^22+2*x^20-2*x^18+2*x^16-2*x^14+2*x^12-2*x^10+2*x^8-2*x^6+2*x^4-x^2+1)/(x-1)^2 ogf] A050622 6.53044 [2*(-1+x^4-2*x^3-26*x^25+24*x^26)/(x-1)/(x^2+1)/(2*x^24-2*x^22+2*x^20-2*x^18+2*x^16-2*x^14+2*x^12-2*x^10+2*x^8-2*x^6+2*x^4-x^2+1) lgdogf] A050683 12.4249 [-1/10*10^(1/2)*(arcsinh(1/3)-arcsinh(10/27*x+1/3)) revegf] A050683 15.0981 [-9*(x+1)/(10*x^2-1) ogf] A050683 18.8256 [-(1+20*x+10*x^2)/(x+1)/(10*x^2-1) lgdogf] A050683 8.8072 [(110*f(x)-981)*(10*f(x)*x^2-f(x)+9*x+9) ogf] A050683 9.75568 [{-a(n+2)+10*a(n),a(0)=9,a(1)=9} ogf] A050684 10.1805 [(x+1)^2/(3*x-1)/(3*x+1)/(10*x^2-1) ogf] A050684 5.7205 [-(4493*f(x)+3636)*(90*f(x)*x^4-19*f(x)*x^2-x^2+f(x)-2*x-1) ogf] A050684 9.79899 [-2*(-1-19*x+90*x^4+180*x^3)/(3*x-1)/(3*x+1)/(x+1)/(10*x^2-1) lgdogf] A050685 4.07998 [(1667*f(x)+1008)*(90*f(x)*x^5-90*f(x)*x^4-19*f(x)*x^3+19*f(x)*x^2+9*x^3+f(x)*x+9*x^2-f(x)) ogf] A050685 7.90811 [-9*x^2*(x+1)/(x-1)/(3*x-1)/(3*x+1)/(10*x^2-1) ogf] A050685 7.92649 [-2*(1+19*x+180*x^5+90*x^4-19*x^2-199*x^3)/(x-1)/(3*x-1)/(3*x+1)/(x+1)/(10*x^2-1) lgdogf] A050686 5.61167 [-(7985*f(x)+7272)*(90*f(x)*x^4-19*f(x)*x^2+x^3+x^2+f(x)-x-1) ogf] A050686 8.06810 [-(1+35*x+90*x^5+90*x^4-19*x^2-341*x^3)/(x-1)/(3*x-1)/(3*x+1)/(x+1)/(10*x^2-1) lgdogf] A050686 9.46446 [-(x-1)*(x+1)^2/(3*x-1)/(3*x+1)/(10*x^2-1) ogf] A050720 10.5296 [9*x^2*(x+1)/(3*x-1)/(3*x+1)/(10*x^2-1) ogf] A050720 6.09062 [-(130*f(x)+81)*(90*f(x)*x^4-19*f(x)*x^2-9*x^3-9*x^2+f(x)) ogf] A050720 9.31524 [-(-1-38*x+270*x^4-19*x^2+360*x^3)/(3*x-1)/(3*x+1)/(x+1)/(10*x^2-1) lgdogf] A050726 6.68903 [-3*x^10+3*x^9+2 ogf_with_Euler_transform] A050728 2.74197 [-x^5+x^4+2 ogf_with_Euler_transform] A050732 9.90085 [-(f(x)-2)*(2*f(x)*x-f(x)+1)^2 ogf] A050734 19.0689 [-(4*f(x)*x-f(x)+1)^3 ogf] A050735 13.8018 [(5*f(x)*x-f(x)+1)^2 ogf] A050736 3.43579 [-(f(x)-1)*(6*f(x)*x-f(x)+1)^2 ogf] A050737 4.24939 [-(f(x)-1)*(7*f(x)*x-f(x)+1)^2 ogf] A050738 11.0533 [-(8*f(x)*x-f(x)+1)^3 ogf] A050739 4.48026 [(9*f(x)*x+f(x)-18*x-1)*(9*f(x)*x-f(x)+1)^2 ogf] A050914 10.7469 [-(6*x^2-3*x+1)/(x-1)/(3*x-1)^2 ogf] A050914 13.6132 [-2*(3*x-2)*(3*x^2+1)/(x-1)/(3*x-1)/(6*x^2-3*x+1) lgdogf] A050914 5.74403 [(764*f(x)-137)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A050914 5.84481 [{a(n+3)-7*a(n+2)+15*a(n+1)-9*a(n),a(0)=1,a(1)=4,a(2)=19} ogf] A050915 11.4131 [-(-5+4*x-20*x^2+48*x^3)/(x-1)/(4*x-1)/(12*x^2-4*x+1) lgdogf] A050915 5.0487 [(7758*f(x)-2395)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+12*x^2-f(x)-4*x+1) ogf] A050915 5.26821 [{a(n+3)-9*a(n+2)+24*a(n+1)-16*a(n),a(0)=1,a(1)=5,a(2)=33} ogf] A050915 9.46631 [-(12*x^2-4*x+1)/(x-1)/(4*x-1)^2 ogf] A050916 11.8736 [-2*(-3-15*x^2+50*x^3)/(x-1)/(5*x-1)/(20*x^2-5*x+1) lgdogf] A050916 4.96607 [(14704*f(x)-5803)*(25*f(x)*x^3-35*f(x)*x^2+11*f(x)*x+20*x^2-f(x)-5*x+1) ogf] A050916 5.22292 [{a(n+3)-11*a(n+2)+35*a(n+1)-25*a(n),a(0)=1,a(1)=6,a(2)=51} ogf] A050916 9.32091 [-(20*x^2-5*x+1)/(x-1)/(5*x-1)^2 ogf] A050917 11.1753 [-(30*x^2-6*x+1)/(x-1)/(6*x-1)^2 ogf] A050917 13.4723 [-(-7-6*x-42*x^2+180*x^3)/(x-1)/(6*x-1)/(30*x^2-6*x+1) lgdogf] A050917 5.85802 [(176900*f(x)-81401)*(36*f(x)*x^3-48*f(x)*x^2+13*f(x)*x+30*x^2-f(x)-6*x+1) ogf] A050917 6.26202 [{a(n+3)-13*a(n+2)+48*a(n+1)-36*a(n),a(0)=1,a(1)=7,a(2)=73} ogf] A050919 11.1659 [-2*(-4-7*x-28*x^2+147*x^3)/(x-1)/(7*x-1)/(42*x^2-7*x+1) lgdogf] A050919 5.00886 [(562284*f(x)-288217)*(49*f(x)*x^3-63*f(x)*x^2+15*f(x)*x+42*x^2-f(x)-7*x+1) ogf] A050919 5.39748 [{a(n+3)-15*a(n+2)+63*a(n+1)-49*a(n),a(0)=1,a(1)=8,a(2)=99} ogf] A050919 9.63243 [-(42*x^2-7*x+1)/(x-1)/(7*x-1)^2 ogf] A050935 12.4469 [f(x)*x^3-f(x)*x-x^2+f(x) ogf] A050935 23.7623 [x^2/(x^3-x+1) ogf] A050935 43.4331 [-(-1+3*x^2)/(1-x+x^3) lgdogf] A050935 8.52342 [{a(n+3)-a(n+2)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A050982 48.3480 [-30/(5*x-1) lgdogf] A050982 6.38712 [{(-n-2)*a(n+2)+(35+5*n)*a(n+1),a(0)=1,a(1)=30} ogf] A050982 8.25652 [1/(5*x-1)^6 ogf] A050988 38.1231 [-42/(-1+6*x) lgdogf] A050988 4.42045 [{(-n-2)*a(n+2)+(48+6*n)*a(n+1),a(0)=1,a(1)=42} ogf] A050988 4.98477 [-1/(6*x-1)^7 ogf] A050989 30.4985 [-56+(1-7*x)*f(x) lgdogf] A050989 4.70817 [{(-n-2)*a(n+2)+(63+7*n)*a(n+1),a(0)=1,a(1)=56} ogf] A051022 6.63378 [x*(91*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A051028 4.50043 [-(302240952837*f(x)+37802730592)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x-9*x^2+f(x)-53*x-1) ogf] A051028 5.21300 [{a(n+3)-82*a(n+2)-82*a(n+1)+a(n),a(0)=1,a(1)=135,a(2)=11161} ogf] A051028 6.26581 [-(-135-182*x+9*x^4-3605*x^2+106*x^3)/(x+1)/(9*x^2+53*x+1)/(x^2-83*x+1) lgdogf] A051028 9.77438 [(9*x^2+53*x+1)/(x+1)/(x^2-83*x+1) ogf] A051029 4.73909 [(3605803299*f(x)-554333698)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x+12*x^2+f(x)+26*x-2) ogf] A051029 5.21300 [{a(n+3)-82*a(n+2)-82*a(n+1)+a(n),a(0)=2,a(1)=138,a(2)=11468} ogf] A051029 6.64555 [-(69+152*x+6*x^4-577*x^2+26*x^3)/(x+1)/(6*x^2+13*x-1)/(x^2-83*x+1) lgdogf] A051029 9.62400 [-2*(6*x^2+13*x-1)/(x+1)/(x^2-83*x+1) ogf] A051030 4.72382 [(10116142857*f(x)-1209788924)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x+10*x^2+f(x)-8*x-2) ogf] A051030 5.23557 [{-a(n+3)+82*a(n+2)+82*a(n+1)-a(n),a(0)=2,a(1)=172,a(2)=14258} ogf] A051030 6.89330 [-(86+154*x+5*x^4+735*x^2-8*x^3)/(x-1)/(5*x+1)/(x+1)/(x^2-83*x+1) lgdogf] A051030 9.81669 [-2*(5*x+1)*(x-1)/(x+1)/(x^2-83*x+1) ogf] A051032 12.3159 [-(4*x^2-x-2)/(x-1)/(2*x^2-1) ogf] A051032 14.7264 [-(3+8*x^4-6*x^2-4*x^3)/(x-1)/(2*x^2-1)/(4*x^2-x-2) lgdogf] A051032 6.70778 [(f(x)+16)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+4*x^2+f(x)-x-2) ogf] A051032 6.70779 [{-a(n+3)+a(n+2)+2*a(n+1)-2*a(n),a(0)=2,a(1)=3,a(2)=3} ogf] A051039 11.2019 [(7*x^5+4*x^4+2*x^3+x^2+1)/(x-1)^2 ogf] A051039 11.9669 [(-2-2*x+21*x^5-27*x^4-6*x^2-14*x^3)/(x-1)/(7*x^5+4*x^4+2*x^3+x^2+1) lgdogf] A051040 10.0214 [(15*x^6+8*x^5+4*x^4+2*x^3+x^2+1)/(x-1)^2 ogf] A051040 10.0753 [2*(-1-x+30*x^6-33*x^5-16*x^4-3*x^2-7*x^3)/(x-1)/(15*x^6+8*x^5+4*x^4+2*x^3+x^2+1) lgdogf] A051047 4.48368 [{-a(n+5)+15*a(n+4)-15*a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=8,a(3)=120,a(4)=1680} ogf] A051047 4.57456 [-(366731*f(x)-16576730)*(f(x)*x^3-3*x^4-15*f(x)*x^2+44*x^3+15*f(x)*x-22*x^2-f(x)-12*x+1) ogf] A051047 5.50400 [(3-74*x+3*x^6-90*x^5+773*x^4+645*x^2-1356*x^3)/(x-1)/(x^2-14*x+1)/(3*x^4-44*x^3+22*x^2+12*x-1) lgdogf] A051047 8.25652 [(3*x^4-44*x^3+22*x^2+12*x-1)/(x-1)/(x^2-14*x+1) ogf] A051048 3.20600 [{-a(n+5)+15*a(n+4)-15*a(n+3)+a(n+2),a(0)=2,a(1)=5,a(2)=31,a(3)=449,a(4)=6271} ogf] A051048 3.24875 [-(3027419*f(x)-179956301)*(f(x)*x^3-4*x^4-15*f(x)*x^2+57*x^3+15*f(x)*x-14*x^2-f(x)-25*x+2) ogf] A051048 5.94283 [(4*x^4-57*x^3+14*x^2+25*x-2)/(x-1)/(x^2-14*x+1) ogf] A051049 10.7523 [(x^2-x+1)/(x-1)/(2*x-1)/(x+1) ogf] A051049 11.0717 [-(-1-4*x+2*x^4+9*x^2-4*x^3)/(x-1)/(-1+2*x)/(x+1)/(x^2-x+1) lgdogf] A051049 5.80435 [(17*f(x)+13)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)+x-1) ogf] A051049 5.85618 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A051062 18.3516 [8*(x+1)/(x-1)^2 ogf] A051062 28.9264 [-(-4-x+4*(1+x)^(1/2))/(-8+x) revogf] A051062 39.1361 [[3-x] ogf_with_Euler_transform] A051062 44.9966 [-(3+x)/(x-1)/(x+1) lgdogf] A051062 9.60257 [(2*f(x)+65)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-8) ogf] A051062 9.94964 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=24} ogf] A051063 12.4415 [9*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A051063 18.5821 [-(2+6*x+3*x^2+x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A051063 30.2005 [-x^2+x+2 ogf_with_Euler_transform] A051063 6.65730 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=9,a(1)=18,a(2)=36} ogf] A051063 6.71622 [(5*f(x)+387)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-9*x-9) ogf] A051066 6.15095 [x*(x^2+1)*(x^8-x^6+x^4-x^2+1)*(x^8+1)/(x^2+x+1)/(x^18+x^9+1)/(x-1)^2 ogf] A051109 11.7827 [-2*(1+5*x+25*x^4+15*x^2+20*x^3)/(5*x^2+2*x+1)/(10*x^3-1) lgdogf] A051109 13.4688 [-(5*x^2+2*x+1)/(10*x^3-1) ogf] A051109 8.74595 [{a(n+3)-10*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A051109 8.86101 [(4*f(x)-1)*(10*f(x)*x^3+5*x^2-f(x)+2*x+1) ogf] A051111 14.0027 [1/(x^4-3*x^3+4*x^2-2*x+1) ogf] A051111 16.8869 [-(-2+8*x-9*x^2+4*x^3)/(4*x^2+1-2*x+x^4-3*x^3) lgdogf] A051111 5.64584 [-(13*f(x)-19)*(f(x)*x^4-3*f(x)*x^3+4*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A051133 6.51217 [{(n+1)*a(n+2)+(-10-4*n)*a(n+1),a(0)=0,a(1)=3} ogf] A051133 60.7145 [-10/(4*x-1) lgdogf] A051136 12.3732 [-(-x^3-4*x^2+x-4)/(-x^4+1) ogf_with_Euler_transform] A051136 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)/Pi^(1/4)*2^(3/4)*GAMMA(3/4) A051170 16.1733 [-x^5+x^4+x^2+x+3 ogf_with_Euler_transform] A051170 5.90873 [-x*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A051170 9.11973 [-(3+2*x+7*x^6-4*x^5+9*x^4+4*x^2+4*x^3)/(x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A051172 16.0836 [x^6-2*x^5+2*x^2+2*x+4 ogf_with_Euler_transform] A051172 3.88801 [-x*(x^2-x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^7 ogf] A051176 10.4118 [x*(x^4+2*x^3+x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A051176 10.6628 [-2*(1+x+x^6+3*x^5+2*x^4+6*x^2+7*x^3)/(x-1)/(x^2+x+1)/(x^4+2*x^3+x^2+2*x+1) lgdogf] A051176 6.31265 [{(-n-4)*a(n+1)+(n+1)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=1} ogf] A051180 4.58917 [x^3*(744*x^3-606*x^2+155*x-13)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A051188 11.7569 [-7*f(x)*x+f(x)-1 egf] A051188 22.9540 [-1/(7*x-1) egf] A051188 27.7177 [1/7-1/7*exp(-7*x) revegf] A051188 42.8364 [-7/(-1+7*x) lgdegf] A051188 5.41610 [{(-7*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A051189 12.2193 [-8*f(x)*x+f(x)-1 egf] A051189 23.8566 [-1/(8*x-1) egf] A051189 28.8328 [1/8-1/8*exp(-8*x) revegf] A051189 49.0157 [-8/(8*x-1) lgdegf] A051189 5.62909 [{(-8*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A051223 16.9211 [-(f(x)-1)^3 ogf] A051224 15.3446 [-(f(x)-1)^3 ogf] A051232 14.9449 [-9*f(x)*x+f(x)-1 egf] A051232 29.1782 [-1/(9*x-1) egf] A051232 54.6956 [-9/(-1+9*x) lgdegf] A051232 6.88474 [{(-9*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A051249 12.9521 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A051249 5.04632 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A051253 10.4429 [-2*(2-2*x+16*x^5-8*x^4+3*x^2-12*x^3)/(-1+2*x)/(4*x^2-2*x-1)/(2*x^3+2*x^2-1) lgdogf] A051253 11.5537 [-(4*x^2-2*x-1)/(2*x-1)/(2*x^3+2*x^2-1) ogf] A051253 6.03942 [(95*f(x)+932)*(4*f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-2*x-1) ogf] A051262 10.6191 [-10*f(x)*x+f(x)-1 egf] A051262 20.2728 [-1/(10*x-1) egf] A051262 33.4958 [-10/(-1+10*x) lgdegf] A051262 4.90111 [{(-10*n-20)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A051263 10.9822 [-(1+2*x+12*x^6+13*x^5+14*x^4+9*x^2+9*x^3)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A051263 25.3470 [[x^4+2*x^2+1] ogf_with_Euler_transform] A051263 8.48458 [1/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A051274 12.2863 [-x*(2+x^5+2*x^4+4*x^3+5*x+x^6+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(1+x^4) lgdogf] A051274 13.5044 [(x^4+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A051274 18.2471 [-x*(x^6-x^2-x-1) ogf_with_Euler_transform] A051275 13.3909 [(x^2+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A051275 13.8623 [-x*(4+3*x^4+3*x^3+7*x+7*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A051275 28.0749 [-x^3+x^2+2*x ogf_with_Euler_transform] A051286 16.7571 [-(-1-x-3*x^2+2*x^3)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A051286 7.07724 [f(x)^2*x^4-2*x^3*f(x)^2-f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A051292 4.3307 [f(x)^2*x^4-2*x^3*f(x)^2-2*f(x)*x^4-f(x)^2*x^2+4*f(x)*x^3-2*f(x)^2*x+2*f(x)*x^2-2*x^3+f(x)^2+4*f(x)*x+x^2-2*f(x)-2*x ogf] A051303 5.15173 [x^3*(360*x^3-78*x^2-x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A051361 12.3551 [-(2*x-3)*(4*x^3-20*x^2+33*x-25)/(x-1)/(2*x^4-12*x^3+27*x^2-29*x+13) lgdogf] A051361 6.20431 [x^3*(2*x^4-12*x^3+27*x^2-29*x+13)/(x-1)^8 ogf] A051375 4.26961 [-(139*f(x)-81)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+24*x^3-10*f(x)*x-9*x^2+f(x)) ogf] A051375 7.83873 [-2*(11-105*x+288*x^4+365*x^2-544*x^3)/(x-1)/(4*x-1)/(3*x-1)/(-1+2*x)/(8*x-3) lgdogf] A051375 8.13532 [-3*x^2*(8*x-3)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A051376 4.96014 [x^2*(1344*x^3-692*x^2+59*x+3)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A051396 5.57576 [{(4*n^2-2*n)*a(n)+(-4*n^2-6*n-3)*a(n+1)+a(n+2),a(0)=0,a(1)=1} ogf] A051397 5.01707 [{(4*n^2+2*n)*a(n)+(-4*n^2-10*n-7)*a(n+1)+a(n+2),a(0)=0,a(1)=1} ogf] A051398 18.9878 [(3+6*x+5*x^2+x^3)/(x+1)/(1+3*x+x^2) lgdegf] A051403 5.44585 [{(-n-4)*a(n+1)+(n+4)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A051405 5.36735 [(121*f(x)+108)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+18*x^2-f(x)-16*x+2) ogf] A051405 5.50497 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=2,a(1)=10,a(2)=70} ogf] A051405 9.16086 [-(5-60*x+243*x^4+276*x^2-432*x^3)/(x-1)/(3*x-1)/(9*x-1)/(9*x^2-8*x+1) lgdogf] A051405 9.75882 [-2*(9*x^2-8*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A051406 10.7985 [-(9*x^2-8*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A051406 5.90689 [(121*f(x)+54)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+9*x^2-f(x)-8*x+1) ogf] A051406 5.95781 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=1,a(1)=5,a(2)=35} ogf] A051406 8.81352 [-(5-60*x+243*x^4+276*x^2-432*x^3)/(x-1)/(3*x-1)/(9*x-1)/(9*x^2-8*x+1) lgdogf] A051407 15.1926 [-3*(5-36*x+81*x^2)/(3*x-1)/(9*x-2)/(9*x-1) lgdogf] A051407 15.4169 [-(9*x-2)/(9*x-1)/(3*x-1) ogf] A051407 15.5632 [-1/9*(-1-6*x+(1+3*x+9*x^2)^(1/2))/(1+3*x) revogf] A051407 7.62733 [-(242*f(x)+141)*(27*f(x)*x^2-12*f(x)*x+f(x)+9*x-2) ogf] A051407 8.52466 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=2,a(1)=15} ogf] A051431 14.7957 [(-1+(10*x+1)^(1/10))/(10*x+1)^(1/10) revegf] A051431 38.0460 [-11+(1-x)*f(x) lgdegf] A051431 6.04418 [{(-n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A051436 5.44848 [-(39*x^7-20*x^6-39*x^5+14*x^4+17*x^3-5*x^2-3*x+1)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(3*x^2-1)/(2*x^2-1) ogf] A051437 13.0071 [-(4*x^2-x-1)/(2*x-1)/(2*x^2-1) ogf] A051437 13.4366 [-(3-4*x+16*x^4-2*x^2-8*x^3)/(-1+2*x)/(2*x^2-1)/(4*x^2-x-1) lgdogf] A051437 6.95992 [(27*f(x)+134)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-x-1) ogf] A051437 7.08421 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=4} ogf] A051449 6.37170 [-(x^3+x-1)*(x+1)^2/(x^2+x+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A051449 6.63351 [-(1+9*x^10+x+3*x^11+15*x^9-5*x^6-5*x^5-9*x^4+x^2+15*x^8+5*x^7-x^3)/(x+1)/(x^2+x-1)/(x^3+x-1)/(x^4+x^2-1)/(x^2+x+1) lgdogf] A051450 10.8160 [(2*x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A051450 11.9712 [-2*(-1+3*x+3*x^4-6*x^3)/(-1+2*x)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A051450 5.408 [(22*f(x)+5)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A051462 11.5533 [-(4+10*x+x^5+5*x^4+17*x^2+11*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A051462 22.3568 [-2*x^3+x^2+x+4 ogf_with_Euler_transform] A051462 6.81389 [(x+1)*(x^2+1)^2/(x^2+x+1)/(x-1)^4 ogf] A051494 10.7687 [-(x^3+x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A051494 16.8409 [-(-1+8*x+3*x^4-2*x^2+4*x^3)/(x-1)/(x+1)/(x^3+x^2-x+1) lgdogf] A051495 10.0742 [-(1+4*x+5*x^6-6*x^5+14*x^4+6*x^2+12*x^3)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A051495 9.65456 [-(x^4-x^3+2*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A051500 10.4450 [-(12*x^2-9*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A051500 5.43143 [-(8176*f(x)+5657)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+12*x^2-f(x)-9*x+1) ogf] A051500 5.85283 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=1,a(1)=4,a(2)=25} ogf] A051500 8.27986 [-2*(2-27*x+162*x^4+138*x^2-243*x^3)/(x-1)/(3*x-1)/(9*x-1)/(12*x^2-9*x+1) lgdogf] A051515 4.81951 [-(9*x^6+16*x^5+135*x^4+64*x^3+135*x^2+16*x+9)/(x+1)^4/(x-1)^5 ogf] A051515 6.08089 [-(25+367*x+73*x^6+745*x^5+599*x^4+455*x^2+27*x^7+1549*x^3)/(x-1)/(x+1)/(9*x^6+16*x^5+135*x^4+64*x^3+135*x^2+16*x+9) lgdogf] A051524 3.72758 [{(n^2+14*n+49)*a(n+1)+(-2*n-15)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=13} ogf] A051528 4.91808 [(x^12-x^9+2*x^8+2*x^4-x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A051530 4.70374 [(x^9+x^8-x^7+5*x^6-x^5+x^4+2*x^3-x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A051531 5.89057 [(2*x^6+5*x^5+6*x^3+3*x^2-x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A051531 7.07226 [-(1+6*x+14*x^6+52*x^5+55*x^4+30*x^2+4*x^8+19*x^7+11*x^3)/(x-1)/(x^2+x+1)/(2*x^6+5*x^5+6*x^3+3*x^2-x+1) lgdogf] A051535 5.93287 [-(2*x+1)*(16*x^4+8*x^3+4*x^2+2*x+1)*(16*x^4-8*x^3+4*x^2-2*x+1)/(1000*x^10-1) ogf] A051545 3.78738 [{(n^2+16*n+64)*a(n+1)+(-2*n-17)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=15} ogf] A051551 3.01029 [16*(32462531054272512*x^6-42268920643584*x^5-73383542784*x^4-254803968*x^3-110592*x^2-192*x-1)/(48693796581408768*x^6-191102976*x^3-1) ogf] A051551 9.57819 [(576*f(x)*x-f(x)-6144*x+16)^2 ogf] A051560 3.41939 [{(n^2+18*n+81)*a(n+1)+(-2*n-19)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=17} ogf] A051562 3.47360 [{(n^2+20*n+100)*a(n+1)+(-2*n-21)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=19} ogf] A051564 3.55121 [{(n^2+22*n+121)*a(n+1)+(-2*n-23)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=21} ogf] A051577 12.4444 [1/2*((1+3*x)^(1/3)-1)*((1+3*x)^(1/3)+1)/(1+3*x)^(2/3) revegf] A051577 43.9703 [-5+(1-2*x)*f(x) lgdegf] A051577 7.62877 [{(-2*n-7)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A051578 14.6517 [2*x/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2)) revegf] A051578 18.0541 [-1/(2*x-1)^3 egf] A051578 46.6192 [-6/(-1+2*x) lgdegf] A051578 6.59668 [-(f(x)-1)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-f(x)+1) egf] A051578 7.79608 [{(-2*n-8)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A051579 34.9429 [-7+(1-2*x)*f(x) lgdegf] A051579 6.08497 [{(-2*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A051579 9.88951 [1/2*((1+5*x)^(1/5)-1)*((1+5*x)^(1/5)+1)/(1+5*x)^(2/5) revegf] A051580 10.5156 [1/(2*x-1)^4 egf] A051580 14.8744 [1/2*(-1+(1+6*x)^(1/3))/(1+6*x)^(1/3) revegf] A051580 4.40976 [-(f(x)+1)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-1) egf] A051580 48.6797 [-8/(-1+2*x) lgdegf] A051580 6.14393 [{(-2*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A051581 10.1261 [1/2*(-1+(1+7*x)^(1/7))*((1+7*x)^(1/7)+1)/(1+7*x)^(2/7) revegf] A051581 36.4540 [-9+(1-2*x)*f(x) lgdegf] A051581 6.27126 [{(-2*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A051582 15.6614 [1/2*(-1+(1+8*x)^(1/4))/(1+8*x)^(1/4) revegf] A051582 46.9841 [-10/(-1+2*x) lgdegf] A051582 6.39047 [{(-2*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A051582 9.91624 [-1/(2*x-1)^5 egf] A051583 10.5458 [1/2*(-1+(1+9*x)^(1/9))*((1+9*x)^(1/9)+1)/(1+9*x)^(2/9) revegf] A051583 35.5922 [-11+(1-2*x)*f(x) lgdegf] A051583 6.45342 [{(-2*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A051588 4.13696 [(2721*f(x)+2027)*(960*f(x)*x^4-712*f(x)*x^3+194*f(x)*x^2-24*x^3-23*f(x)*x+8*x^2+f(x)-x) ogf] A051588 6.11373 [-(-15+340*x+46080*x^5-40128*x^4-3136*x^2+15232*x^3)/(6*x-1)/(4*x-1)/(8*x-1)/(5*x-1)/(24*x^2-8*x+1) lgdogf] A051588 7.50781 [x*(24*x^2-8*x+1)/(6*x-1)/(4*x-1)/(8*x-1)/(5*x-1) ogf] A051604 37.3984 [-7+(1-3*x)*f(x) lgdegf] A051604 6.43043 [{(-3*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A051604 8.37277 [1/3*((1+4*x)^(1/4)-1)*((1+4*x)^(1/2)+(1+4*x)^(1/4)+1)/(1+4*x)^(3/4) revegf] A051605 37.9650 [-8+(1-3*x)*f(x) lgdegf] A051605 6.52593 [{(-3*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=8} ogf] A051605 8.49963 [1/3*((1+5*x)^(1/5)-1)*((1+5*x)^(2/5)+(1+5*x)^(1/5)+1)/(1+5*x)^(3/5) revegf] A051606 15.3284 [-1/(3*x-1)^3 egf] A051606 16.7564 [2*x/(1+6*x)^(1/2)/(1+(1+6*x)^(1/2)) revegf] A051606 58.6474 [-9/(3*x-1) lgdegf] A051606 6.52398 [-(f(x)-1)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+1) egf] A051606 6.71693 [{(-3*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A051607 31.7115 [-10+(1-3*x)*f(x) lgdegf] A051607 5.76082 [{(-3*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A051607 7.46153 [1/3*(-1+(1+7*x)^(1/7))*((1+7*x)^(2/7)+(1+7*x)^(1/7)+1)/(1+7*x)^(3/7) revegf] A051608 32.4046 [-11+(1-3*x)*f(x) lgdegf] A051608 5.88406 [{(-3*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A051608 7.62462 [1/3*(-1+(1+8*x)^(1/8))*((1+8*x)^(1/4)+(1+8*x)^(1/8)+1)/(1+8*x)^(3/8) revegf] A051609 14.6331 [1/3*(-1+(1+9*x)^(1/3))/(1+9*x)^(1/3) revegf] A051609 47.8902 [-12/(3*x-1) lgdegf] A051609 5.64311 [-(f(x)+1)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x+f(x)-1) egf] A051609 5.97647 [{(-3*n-15)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A051609 9.96078 [1/(3*x-1)^4 egf] A051617 34.9346 [-9+(1-4*x)*f(x) lgdegf] A051617 6.01247 [{(-4*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=9} ogf] A051617 7.38056 [1/4*((1+5*x)^(1/5)-1)*((1+5*x)^(1/5)+1)*((1+5*x)^(2/5)+1)/(1+5*x)^(4/5) revegf] A051618 33.4444 [-10+(1-4*x)*f(x) lgdegf] A051618 7.02007 [{(-4*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A051618 9.90944 [1/4*(-1+(1+6*x)^(1/3))*((1+6*x)^(1/3)+1)/(1+6*x)^(2/3) revegf] A051619 33.6177 [-11+(1-4*x)*f(x) lgdegf] A051619 6.09970 [{(-4*n-15)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A051619 7.47059 [1/4*(-1+(1+7*x)^(1/7))*((1+7*x)^(1/7)+1)*((1+7*x)^(2/7)+1)/(1+7*x)^(4/7) revegf] A051620 13.8630 [-1/(4*x-1)^3 egf] A051620 15.5265 [2*x/(1+8*x)^(1/2)/(1+(1+8*x)^(1/2)) revegf] A051620 49.4025 [-12/(4*x-1) lgdegf] A051620 5.2313 [-(f(x)-1)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-f(x)+1) egf] A051620 6.16131 [{(-4*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A051621 34.4841 [-13+(1-4*x)*f(x) lgdegf] A051621 6.25373 [{(-4*n-17)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A051621 7.66313 [1/4*(-1+(1+9*x)^(1/9))*((1+9*x)^(1/9)+1)*((1+9*x)^(2/9)+1)/(1+9*x)^(4/9) revegf] A051622 34.8307 [-14+(1-4*x)*f(x) lgdegf] A051622 6.31534 [{(-4*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A051622 9.95162 [1/4*((10*x+1)^(1/5)-1)*((10*x+1)^(1/5)+1)/(10*x+1)^(2/5) revegf] A051624 12.8673 [-x*(9*x+1)/(x-1)^3 ogf] A051624 30.0896 [-6*(3*x+2)/(9*x+1)/(x-1) lgdogf] A051624 6.21554 [-(4900*f(x)-15873)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+x) ogf] A051624 6.54852 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A051630 6.04849 [(x^4+x^2-x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A051630 7.77853 [-x*(4-6*x^5+17*x^4+3*x^3+2*x+x^7+13*x^6+6*x^2+8*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-x+1) lgdogf] A051633 15.1164 [-(x-3)/(2*x-1)/(x-1) ogf] A051633 16.6659 [-1/2*(-3-3*x+(9+14*x+x^2)^(1/2))/(2*x+1) revogf] A051633 19.0467 [-2*(4-6*x+x^2)/(x-1)/(x-3)/(-1+2*x) lgdogf] A051633 8.00282 [(3*f(x)+7)*(2*f(x)*x^2-3*f(x)*x+f(x)+x-3) ogf] A051633 8.29561 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=3,a(1)=8} ogf] A051662 11.1736 [(2*x^2+5*x+1)/(x-1)^4 ogf] A051662 21.6063 [-(9+19*x+4*x^2)/(x-1)/(2*x^2+5*x+1) lgdogf] A051662 3.87425 [{(n+4)*a(n+4)+(3+4*n)*a(n+3)+(-25-3*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=32,a(3)=78} ogf] A051662 5.39144 [(12507136*f(x)+47292151)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-5*x-1) ogf] A051667 11.1653 [-2*x*(x+1)/(2*x-1)/(x-1)^2 ogf] A051667 17.3977 [-(-5+5*x+4*x^2)/(x-1)/(-1+2*x)/(x+1) lgdogf] A051667 5.68232 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=10} ogf] A051667 7.48728 [2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+2*x ogf] A051669 10.8747 [(x^2-4*x-1)/(2*x-1)/(x-1)^2 ogf] A051669 13.8274 [-2*(4-2*x-7*x^2+x^3)/(x-1)/(-1+2*x)/(x^2-4*x-1) lgdogf] A051669 5.7186 [(976*f(x)-2493)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)+4*x+1) ogf] A051669 5.87042 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=8,a(2)=26} ogf] A051673 10.4386 [x*(5*x^2+8*x+1)/(x-1)^4 ogf] A051673 20.8619 [-2*(x+3)*(5*x+2)/(x-1)/(5*x^2+8*x+1) lgdogf] A051673 3.82925 [{(n+3)*a(n+4)+(2+7*n)*a(n+3)+(-37-3*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=12,a(3)=47} ogf] A051673 5.08014 [-(5747308*f(x)+18131811)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-8*x^2+f(x)-x) ogf] A051682 13.1451 [-x*(8*x+1)/(x-1)^3 ogf] A051682 30.7465 [-(11+16*x)/(8*x+1)/(x-1) lgdogf] A051682 6.29638 [-(11421*f(x)-33215)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+x) ogf] A051682 6.68991 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A051687 29.7886 [-11+(1-5*x)*f(x) lgdegf] A051687 5.01702 [1/5*((1+6*x)^(1/6)-1)*((1+6*x)^(2/3)+(1+6*x)^(1/2)+(1+6*x)^(1/3)+(1+6*x)^(1/6)+1)/(1+6*x)^(5/6) revegf] A051687 5.41610 [{(-5*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A051688 29.9578 [-12+(1-5*x)*f(x) lgdegf] A051688 5.44619 [{(-5*n-17)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A051689 30.1271 [-13+(1-5*x)*f(x) lgdegf] A051689 5.02118 [1/5*(-1+(1+8*x)^(1/8))*((1+8*x)^(1/2)+(1+8*x)^(3/8)+(1+8*x)^(1/4)+(1+8*x)^(1/8)+1)/(1+8*x)^(5/8) revegf] A051689 5.47628 [{(-5*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A051690 30.4656 [-14+(1-5*x)*f(x) lgdegf] A051690 5.07759 [1/5*(-1+(1+9*x)^(1/9))*((1+9*x)^(4/9)+(1+9*x)^(1/3)+(1+9*x)^(2/9)+(1+9*x)^(1/9)+1)/(1+9*x)^(5/9) revegf] A051690 5.53646 [{(-5*n-19)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A051691 12.2192 [-1/(5*x-1)^3 egf] A051691 13.2475 [2*x/(10*x+1)^(1/2)/(1+(10*x+1)^(1/2)) revegf] A051691 4.68214 [-(f(x)-1)*(125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x-f(x)+1) egf] A051691 44.5597 [-15/(5*x-1) lgdegf] A051691 5.56654 [{(-5*n-20)*a(n+1)+a(n+2),a(0)=1,a(1)=15} ogf] A051708 10.8186 [-1/2*((x-1)^(1/2)*(9*x-1)^(1/2)-9*x+1)/(9*x-1)^(3/2)/x/(x-1)^(1/2) lgdogf] A051708 5.85802 [{-9*a(n)*n+(10*n+14)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A051708 9.95062 [-9*f(x)^2*x+f(x)^2+9*f(x)*x-f(x)-2*x ogf] A051711 12.4032 [-4*f(x)*x+f(x)+2*x-1 egf] A051711 15.0849 [(2*x-1)/(4*x-1) egf] A051711 3.87599 [{(8*n^2+8*n)*a(n)+(-4*n^2-18*n-16)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A051711 30.3783 [2/(4*x-1)/(-1+2*x) lgdegf] A051725 6.59167 [-(12*x^11+6*x^10+4*x^9+3*x^8+12*x^7+2*x^6+12*x^5+3*x^4+4*x^3+6*x^2+12*x+1)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A051736 11.6071 [-(x^2-2*x-1)*(x+1)/(x^4-6*x^2-2*x+1) ogf] A051736 6.56466 [(245*f(x)+58)*(f(x)*x^4-6*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-3*x-1) ogf] A051736 8.97332 [-(5+14*x+x^6-2*x^5-3*x^4+13*x^2)/(x+1)/(x^2-2*x-1)/(x^4-6*x^2-2*x+1) lgdogf] A051737 5.72370 [-(8+18*x+21*x^6-2*x^5-19*x^4+9*x^2+x^8-8*x^7-20*x^3)/(x^4-4*x^3+4*x+1)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) lgdogf] A051737 9.19765 [-(x^4-4*x^3+4*x+1)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) ogf] A051740 10.5487 [-(6*x+1)/(x-1)^5 ogf] A051740 30.6092 [-(11+24*x)/(6*x+1)/(x-1) lgdogf] A051740 4.89514 [{(n+3)*a(n+3)+(-1+5*n)*a(n+2)+(-30-6*n)*a(n+1),a(0)=1,a(1)=11,a(2)=45} ogf] A051743 17.5865 [-(-7+6*x-6*x^2+2*x^3)/(x-2)/(x-1)/(x^2-x+1) lgdogf] A051743 4.33133 [{(n^2+9*n+18)*a(n+1)+(-2*n^2-14*n-20)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=2,a(1)=7,a(2)=18} ogf] A051743 8.86179 [(x-2)*(x^2-x+1)/(x-1)^5 ogf] A051744 10.1536 [-(x^2-2*x+2)/(x-1)^5 ogf] A051744 24.6024 [-(8-6*x+3*x^2)/(x-1)/(x^2-2*x+2) lgdogf] A051744 4.01066 [{(2*n+8)*a(n+4)+(-20-4*n)*a(n+3)+(12+3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=2,a(1)=8,a(2)=21,a(3)=45} ogf] A051745 13.2830 [-2*(4-4*x+x^4+6*x^2-4*x^3)/(x-1)/(x^4-4*x^3+6*x^2-4*x+2) lgdogf] A051745 4.58456 [{(n^2+10*n+21)*a(n+1)+(-2*n^2-15*n-22)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=2,a(1)=8,a(2)=24} ogf] A051745 7.89074 [(x^4-4*x^3+6*x^2-4*x+2)/(x-1)^6 ogf] A051746 17.2988 [-3*(-3+3*x-3*x^2+x^3)/(x-2)/(x-1)/(x^2-x+1) lgdogf] A051746 4.23627 [{(n^2+11*n+28)*a(n+1)+(-2*n^2-16*n-24)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=2,a(1)=9,a(2)=27} ogf] A051746 7.89889 [-(x-2)*(x^2-x+1)/(x-1)^6 ogf] A051747 22.0903 [-2*(5-4*x+2*x^2)/(x-1)/(x^2-2*x+2) lgdogf] A051747 3.80853 [{(2*n+8)*a(n+4)+(-22-4*n)*a(n+3)+(14+3*n)*a(n+2)+(-5-n)*a(n+1),a(0)=2,a(1)=10,a(2)=31,a(3)=76} ogf] A051747 8.69903 [(x^2-2*x+2)/(x-1)^6 ogf] A051755 12.3468 [-f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+3 ogf] A051755 16.5400 [(x^2-2*x+3)/(x-1)^2 ogf] A051755 42.9962 [-4/(x-1)/(x^2-2*x+3) lgdogf] A051755 8.59433 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=4,a(2)=6} ogf] A051792 10.9486 [-(2*x^3+x^2+x+1)/(x^4-x^2-1) ogf] A051792 12.8102 [-(1+2*x^6+2*x^5+5*x^4+5*x^2+4*x^3)/(2*x^3+x^2+x+1)/(x^4-x^2-1) lgdogf] A051792 9.00836 [-f(x)*x^4+f(x)*x^2-2*x^3-x^2+f(x)-x-1 ogf] A051793 6.61253 [-(2*x^5+x^4+x^3+x^2+x+1)*(x^2+1)/(x^8+x^6-x^4-x^2-1) ogf] A051794 4.77361 [-(x^2+x+1)*(x^2-x+1)*(2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^12+x^10+x^8-x^6-x^4-x^2-1) ogf] A051797 10.2154 [-(7*x+1)/(x-1)^5 ogf] A051797 29.6279 [-4*(3+7*x)/(7*x+1)/(x-1) lgdogf] A051797 5.00201 [{(n+3)*a(n+3)+6*n*a(n+2)+(-35-7*n)*a(n+1),a(0)=1,a(1)=12,a(2)=50} ogf] A051798 28.3578 [-(13+32*x)/(8*x+1)/(x-1) lgdogf] A051798 4.54048 [{(n+3)*a(n+3)+(1+7*n)*a(n+2)+(-40-8*n)*a(n+1),a(0)=1,a(1)=13,a(2)=55} ogf] A051798 9.78441 [-(8*x+1)/(x-1)^5 ogf] A051799 27.5056 [-2*(7+18*x)/(9*x+1)/(x-1) lgdogf] A051799 4.58658 [{(n+3)*a(n+3)+(2+8*n)*a(n+2)+(-45-9*n)*a(n+1),a(0)=1,a(1)=14,a(2)=60} ogf] A051799 9.88375 [-(9*x+1)/(x-1)^5 ogf] A051836 29.4798 [-2*(4+5*x)/(2*x+1)/(x-1) lgdogf] A051836 4.78787 [{(n+2)*a(n+3)+(-7+n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=8} ogf] A051836 8.54977 [x*(2*x+1)/(x-1)^6 ogf] A051843 30.9612 [-(11+25*x)/(5*x+1)/(x-1) lgdogf] A051843 4.99162 [{(-2-n)*a(n+3)+(7-4*n)*a(n+2)+(25+5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=11} ogf] A051843 8.97302 [x*(5*x+1)/(x-1)^6 ogf] A051865 12.7103 [-x*(10*x+1)/(x-1)^3 ogf] A051865 29.0365 [-(13+20*x)/(10*x+1)/(x-1) lgdogf] A051865 6.14329 [-(24805*f(x)-88578)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+x) ogf] A051865 6.58210 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=13} ogf] A051866 12.7751 [-x*(11*x+1)/(x-1)^3 ogf] A051866 28.0643 [-2*(7+11*x)/(11*x+1)/(x-1) lgdogf] A051866 6.22652 [-(9936*f(x)-38779)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+x) ogf] A051866 6.61568 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=14} ogf] A051867 12.5019 [-x*(12*x+1)/(x-1)^3 ogf] A051867 28.5558 [-3*(5+8*x)/(12*x+1)/(x-1) lgdogf] A051867 5.99263 [-(47489*f(x)-201117)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+x) ogf] A051867 6.47418 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=15} ogf] A051868 12.5663 [-x*(13*x+1)/(x-1)^3 ogf] A051868 27.6013 [-2*(8+13*x)/(13*x+1)/(x-1) lgdogf] A051868 5.97414 [-(126812*f(x)-579195)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+x) ogf] A051868 6.50755 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A051869 12.7596 [-x*(14*x+1)/(x-1)^3 ogf] A051869 29.1538 [-(17+28*x)/(14*x+1)/(x-1) lgdogf] A051869 6.11619 [-(83025*f(x)-406808)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+x) ogf] A051869 6.60767 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=17} ogf] A051870 12.4213 [-x*(15*x+1)/(x-1)^3 ogf] A051870 28.3717 [-6*(3+5*x)/(15*x+1)/(x-1) lgdogf] A051870 5.85718 [-(213760*f(x)-1118481)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+x) ogf] A051870 6.43244 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=18} ogf] A051871 12.4853 [-x*(16*x+1)/(x-1)^3 ogf] A051871 28.5202 [-(19+32*x)/(16*x+1)/(x-1) lgdogf] A051871 5.98468 [-(19363*f(x)-107757)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+x) ogf] A051871 6.46559 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=19} ogf] A051872 12.6133 [-x*(17*x+1)/(x-1)^3 ogf] A051872 26.6827 [-2*(10+17*x)/(17*x+1)/(x-1) lgdogf] A051872 5.94775 [-(339228*f(x)-2000719)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)+x) ogf] A051872 6.53190 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=20} ogf] A051873 12.2115 [-x*(18*x+1)/(x-1)^3 ogf] A051873 26.8153 [-3*(7+12*x)/(18*x+1)/(x-1) lgdogf] A051873 5.85343 [-(29963*f(x)-186690)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+x) ogf] A051873 6.32379 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=21} ogf] A051874 12.2115 [-x*(19*x+1)/(x-1)^3 ogf] A051874 25.8222 [-2*(11+19*x)/(19*x+1)/(x-1) lgdogf] A051874 5.75825 [-(513200*f(x)-3368421)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19*x^2-f(x)+x) ogf] A051874 6.32379 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=22} ogf] A051875 12.2751 [-x*(20*x+1)/(x-1)^3 ogf] A051875 28.0355 [-(23+40*x)/(20*x+1)/(x-1) lgdogf] A051875 5.78824 [-(310905*f(x)-2144153)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+x) ogf] A051875 6.35673 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=23} ogf] A051876 12.4023 [-x*(21*x+1)/(x-1)^3 ogf] A051876 28.3306 [-6*(4+7*x)/(21*x+1)/(x-1) lgdogf] A051876 5.84822 [-(746812*f(x)-5399043)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+x) ogf] A051876 6.42261 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=24} ogf] A051877 22.4923 [-6*(2+5*x)/(6*x+1)/(x-1) lgdogf] A051877 5.15875 [{(n+3)*a(n+3)+(-2+5*n)*a(n+2)+(-36-6*n)*a(n+1),a(0)=1,a(1)=12,a(2)=57} ogf] A051877 9.86610 [(6*x+1)/(x-1)^6 ogf] A051878 22.6312 [-(13+35*x)/(7*x+1)/(x-1) lgdogf] A051878 3.63710 [{(n+3)*a(n+3)+(-1+6*n)*a(n+2)+(-42-7*n)*a(n+1),a(0)=1,a(1)=13,a(2)=63} ogf] A051878 6.95596 [(7*x+1)/(x-1)^6 ogf] A051879 21.9925 [-2*(7+20*x)/(8*x+1)/(x-1) lgdogf] A051879 3.88374 [{(n+3)*a(n+3)+7*n*a(n+2)+(-48-8*n)*a(n+1),a(0)=1,a(1)=14,a(2)=69} ogf] A051879 7.03928 [(8*x+1)/(x-1)^6 ogf] A051880 10.0439 [(9*x+1)/(x-1)^6 ogf] A051880 22.1258 [-15*(3*x+1)/(9*x+1)/(x-1) lgdogf] A051880 5.25169 [{(n+3)*a(n+3)+(1+8*n)*a(n+2)+(-54-9*n)*a(n+1),a(0)=1,a(1)=15,a(2)=75} ogf] A051881 5.66453 [-(x^51+x^49+x^48+x^37-x^35+2*x^25-2*x^23-x^15-x^12-x^11-x^3-x-1)/(x-1)/(x+1)/(x^48-x^12-1) ogf] A051885 7.14955 [x*(x^6+x^3+1)*(x^2+x+1)/(x-1)/(10*x^9-1) ogf] A051890 12.4901 [-2*(3*x^2-2*x+1)/(x-1)^3 ogf] A051890 21.9584 [-(1+2*x+3*x^2)/(x-1)/(3*x^2-2*x+1) lgdogf] A051890 6.80267 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=6} ogf] A051890 8.56067 [-f(x)*x^3+3*f(x)*x^2-3*f(x)*x-6*x^2+f(x)+4*x-2 ogf] A051893 4.38975 [{(n^3+2*n^2+2*n)*a(n)+(-n^3-6*n^2-14*n-10)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A051895 12.6261 [x*(5*x+7)/(x-1)^4 ogf] A051895 23.2168 [-3*(11+5*x)/(5*x+7)/(x-1) lgdogf] A051895 5.36405 [{(14+7*n)*a(n+3)+(-35-2*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=7,a(2)=33} ogf] A051895 5.82056 [(109119744*f(x)+569189983)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-7*x) ogf] A051916 6.56424 [(-4+18*x^10-10*x+8*x^9-33*x^6-32*x^5-34*x^4-18*x^2+4*x^8-32*x^3)/(2*x^4-1)/(3*x^7+2*x^6+2*x^5+2*x^4+6*x^3+5*x^2+4*x+3) lgdogf] A051916 8.87897 [-(3*x^7+2*x^6+2*x^5+2*x^4+6*x^3+5*x^2+4*x+3)/(2*x^4-1) ogf] A051920 4.39707 [-2*f(x)^2*x^4+5*x^3*f(x)^2-4*f(x)^2*x^2-6*f(x)*x^3+f(x)^2*x+11*f(x)*x^2-6*f(x)*x-5*x^2+f(x)+6*x-2 ogf] A051922 6.41237 [-6*(2+5*x)/(5*x+1)/(x-1) lgdogf] A051923 32.8870 [-3*(3+4*x)/(2*x+1)/(x-1) lgdogf] A051923 5.28624 [{(-n-3)*a(n+3)+(7-n)*a(n+2)+(14+2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=42} ogf] A051923 9.02819 [-(2*x+1)/(x-1)^7 ogf] A051924 14.7552 [-1-4*x-2*x^2+((4*x^2+8*x+1)*(1+x)^2)^(1/2) revogf] A051924 3.51351 [{(-8*n^2-28*n-24)*a(n+1)+(-2*n^2-18*n-36)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=4,a(2)=14} ogf] A051924 7.80781 [4*f(x)^2*x^2-f(x)^2*x+8*f(x)*x-2*f(x)+x+2 ogf] A051925 10.7255 [-x^2*(x-3)/(x-1)^4 ogf] A051925 33.2992 [-(-11+3*x)/(x-1)/(x-3) lgdogf] A051925 4.96684 [{(-3-3*n)*a(n+3)+(11+4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A051925 5.48192 [-(43*f(x)-27)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)) ogf] A051926 11.5438 [-(7+x^4+4*x^2-4*x^3)/(x^2-2*x-1)/(x^3-x^2-5*x+1) lgdogf] A051926 12.3996 [-(x^2-2*x-1)/(x^3-x^2-5*x+1) ogf] A051926 6.40997 [-(124*f(x)+23)*(f(x)*x^3-f(x)*x^2-5*f(x)*x+x^2+f(x)-2*x-1) ogf] A051926 6.69359 [{-a(n+3)+5*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=35} ogf] A051927 11.1121 [-(-1-12*x+3*x^4-6*x^2+4*x^3)/(x+1)/(x^2+2*x-1)/(3*x^2+2*x-3) lgdogf] A051927 11.1507 [(3*x^2+2*x-3)/(x+1)/(x^2+2*x-1) ogf] A051927 5.81362 [-(37*f(x)+87)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-3*x^2-f(x)-2*x+3) ogf] A051927 6.07317 [{a(n+3)-a(n+2)-3*a(n+1)-a(n),a(0)=3,a(1)=1,a(2)=7} ogf] A051928 12.2108 [(5*x^2+7*x-4)/(x+1)/(x^2+3*x-1) ogf] A051928 6.15586 [-(4121*f(x)+4261)*(f(x)*x^3+4*f(x)*x^2+2*f(x)*x-5*x^2-f(x)-7*x+4) ogf] A051928 6.59168 [{a(n+3)-2*a(n+2)-4*a(n+1)-a(n),a(0)=4,a(1)=1,a(2)=13} ogf] A051928 7.75294 [-(-1-22*x+5*x^4+6*x^2+14*x^3)/(x+1)/(5*x^2+7*x-4)/(x^2+3*x-1) lgdogf] A051929 11.9410 [(7*x^2+14*x-5)/(x+1)/(x^2+4*x-1) ogf] A051929 6.06837 [-(6455*f(x)+4617)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x-7*x^2-f(x)-14*x+5) ogf] A051929 6.55170 [{a(n+3)-3*a(n+2)-5*a(n+1)-a(n),a(0)=5,a(1)=1,a(2)=21} ogf] A051929 9.60555 [-(-1-36*x+7*x^4+34*x^2+28*x^3)/(x+1)/(7*x^2+14*x-5)/(x^2+4*x-1) lgdogf] A051930 12.1996 [(9*x^2+23*x-6)/(x+1)/(x^2+5*x-1) ogf] A051930 6.05101 [-(110171*f(x)+61839)*(f(x)*x^3+6*f(x)*x^2+4*f(x)*x-9*x^2-f(x)-23*x+6) ogf] A051930 6.69359 [{a(n+3)-4*a(n+2)-6*a(n+1)-a(n),a(0)=6,a(1)=1,a(2)=31} ogf] A051930 8.79528 [-(-1-54*x+9*x^4+84*x^2+46*x^3)/(x+1)/(9*x^2+23*x-6)/(x^2+5*x-1) lgdogf] A051931 11.8452 [(11*x^2+34*x-7)/(x+1)/(x^2+6*x-1) ogf] A051931 6.11678 [-(1837*f(x)+857)*(f(x)*x^3+7*f(x)*x^2+5*f(x)*x-11*x^2-f(x)-34*x+7) ogf] A051931 6.60396 [{a(n+3)-5*a(n+2)-7*a(n+1)-a(n),a(0)=7,a(1)=1,a(2)=43} ogf] A051931 9.08743 [-(-1-76*x+11*x^4+162*x^2+68*x^3)/(x+1)/(x^2+6*x-1)/(11*x^2+34*x-7) lgdogf] A051932 11.4319 [(13*x^2+47*x-8)/(x+1)/(x^2+7*x-1) ogf] A051932 5.62666 [-(1029101*f(x)+412521)*(f(x)*x^3+8*f(x)*x^2+6*f(x)*x-13*x^2-f(x)-47*x+8) ogf] A051932 6.37356 [{a(n+3)-6*a(n+2)-8*a(n+1)-a(n),a(0)=8,a(1)=1,a(2)=57} ogf] A051932 8.54007 [-(-1-102*x+13*x^4+274*x^2+94*x^3)/(x+1)/(13*x^2+47*x-8)/(x^2+7*x-1) lgdogf] A051936 13.1491 [(3*x^2-3*x-1)/(x-1)^3 ogf] A051936 25.3666 [-3*(-2+x^2)/(x-1)/(3*x^2-3*x-1) lgdogf] A051936 7.09816 [(4*f(x)-139)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+3*x+1) ogf] A051936 7.09817 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=12} ogf] A051937 11.5171 [-(3*x^2-3*x-1)/(x-1)^4 ogf] A051937 22.2727 [-(-7-3*x+6*x^2)/(x-1)/(3*x^2-3*x-1) lgdogf] A051937 3.99337 [{(-n-4)*a(n+4)+(1-2*n)*a(n+3)+(15+6*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=1,a(1)=7,a(2)=19,a(3)=38} ogf] A051937 5.97504 [(42*f(x)+4609)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-3*x-1) ogf] A051938 13.4713 [(3*x^2-x-3)/(x-1)^3 ogf] A051938 23.7066 [-(-10+4*x+3*x^2)/(x-1)/(3*x^2-x-3) lgdogf] A051938 6.90548 [-(43*f(x)-3801)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+x+3) ogf] A051938 7.20835 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=10,a(2)=18} ogf] A051939 11.3926 [-(3*x^2-x-3)/(x-1)^4 ogf] A051939 22.6778 [-(-13+3*x+6*x^2)/(x-1)/(3*x^2-x-3) lgdogf] A051939 3.91090 [{(-3*n-12)*a(n+4)+(19+2*n)*a(n+3)+(5+4*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=3,a(1)=13,a(2)=31,a(3)=58} ogf] A051939 5.73789 [(1970*f(x)+767991)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-x-3) ogf] A051940 13.2752 [(2*x^2+3*x-6)/(x-1)^3 ogf] A051940 21.4632 [-(-15+10*x+2*x^2)/(x-1)/(2*x^2+3*x-6) lgdogf] A051940 7.04164 [(27*f(x)-4837)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)-3*x+6) ogf] A051940 7.10340 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=15,a(2)=25} ogf] A051941 11.1588 [-(2*x^2+3*x-6)/(x-1)^4 ogf] A051941 20.4057 [-(-21+13*x+4*x^2)/(x-1)/(2*x^2+3*x-6) lgdogf] A051941 3.81168 [{(-6*n-24)*a(n+4)+(48+9*n)*a(n+3)+(-15-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=6,a(1)=21,a(2)=46,a(3)=82} ogf] A051941 5.66147 [(929*f(x)+941852)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)+3*x-6) ogf] A051942 13.8944 [x*(9*x-10)/(x-1)^3 ogf] A051942 30.5438 [-3*(-7+6*x)/(x-1)/(9*x-10) lgdogf] A051942 6.88784 [-(49*f(x)-15873)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+10*x) ogf] A051942 7.13165 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=21} ogf] A051943 11.6094 [-x*(9*x-10)/(x-1)^4 ogf] A051943 29.0388 [-(-31+27*x)/(x-1)/(9*x-10) lgdogf] A051943 4.91168 [{(-20-10*n)*a(n+3)+(50+19*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=0,a(1)=10,a(2)=31} ogf] A051943 5.67572 [(2710*f(x)+6172839)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+9*x^2+f(x)-10*x) ogf] A051944 8.52466 [-3/8-3/2*x-1/2*x^2+1/8*((4*x^2+12*x+1)*(3+2*x)^2)^(1/2) revogf] A051944 9.25776 [-4*f(x)^2*x^2+f(x)^2*x-12*f(x)*x+3*f(x)-4*x-3 ogf] A051945 8.96123 [-2/9-8/9*x-2/9*x^2+1/9*((4*x^2+16*x+1)*(x+2)^2)^(1/2) revogf] A051945 9.37696 [4*f(x)^2*x^2-f(x)^2*x+16*f(x)*x-4*f(x)+9*x+4 ogf] A051946 27.9012 [-(11+24*x)/(1+4*x)/(x-1) lgdogf] A051946 4.46643 [{(n+3)*a(n+3)+(-5+3*n)*a(n+2)+(-28-4*n)*a(n+1),a(0)=1,a(1)=11,a(2)=56} ogf] A051946 7.67825 [-(4*x+1)/(x-1)^7 ogf] A051947 32.0311 [-2*(5+9*x)/(3*x+1)/(x-1) lgdogf] A051947 5.11668 [{(n+3)*a(n+3)+(-6+2*n)*a(n+2)+(-21-3*n)*a(n+1),a(0)=1,a(1)=10,a(2)=49} ogf] A051947 8.79609 [-(3*x+1)/(x-1)^7 ogf] A051958 10.0974 [-24*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A051958 15.9433 [-x/(4*x+1)/(6*x-1) ogf] A051958 16.1235 [1/48/x*(-2*x-1+(100*x^2+4*x+1)^(1/2)) revogf] A051958 22.0952 [-2*(1+24*x)/(1+4*x)/(6*x-1) lgdogf] A051958 7.38834 [{-a(n+2)+2*a(n+1)+24*a(n),a(0)=0,a(1)=1} ogf] A051959 4.2261 [(1402373*f(x)+1774075)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)+6*x+1) ogf] A051959 9.16983 [-(6*x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A051959 9.86373 [-2*(-5-x+11*x^2+9*x^3)/(x-1)/(6*x+1)/(x^2+2*x-1) lgdogf] A051960 15.4930 [-1-2*x-2*x^2+((1+x+x^2)*(2*x+1)^2)^(1/2) revogf] A051960 4.16313 [{(-4*n^2-14*n-12)*a(n+1)+(5*n^2+30*n+45)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=5,a(2)=16} ogf] A051960 9.25139 [4*f(x)^2*x^2-f(x)^2*x+4*f(x)*x-f(x)+x+2 ogf] A052036 7.07354 [-x^10*(2*x^10+3*x^9+4*x^8+5*x^7+6*x^6+7*x^5+8*x^4+9*x^3+10*x^2+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A052101 11.3153 [-(x-1)^2/(3*x^3-3*x^2+3*x-1) ogf] A052101 14.3935 [-(-1+3*x-9*x^2+3*x^3)/(x-1)/(3*x^3-3*x^2+3*x-1) lgdogf] A052101 6.16279 [{a(n+3)-3*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A052101 6.2183 [(9*f(x)-8)*(3*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A052102 12.7077 [x*(x-1)/(3*x^3-3*x^2+3*x-1) ogf] A052102 14.5703 [-2*(-1+3*x-6*x^2+3*x^3)/(x-1)/(3*x^3-3*x^2+3*x-1) lgdogf] A052102 6.52557 [-(2*f(x)+1)*(3*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x) ogf] A052102 6.52559 [{-a(n+3)+3*a(n+2)-3*a(n+1)+3*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A052103 17.3287 [-x^2/(3*x^3-3*x^2+3*x-1) ogf] A052103 19.0147 [-3*(-2*x+1+3*x^2)/(3*x^3-3*x^2+3*x-1) lgdogf] A052103 6.45888 [{a(n+3)-3*a(n+2)+3*a(n+1)-3*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A052103 8.77131 [3*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A052124 32.7768 [-1-2*x+(1-x)*f(x) lgdegf] A052124 4.24768 [{(2*n+4)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A052127 3.95945 [{(2*n^3+14*n^2+32*n+24)*a(n+1)+(n^2+6*n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=8} ogf] A052140 3.58937 [{(16*n^3+112*n^2+256*n+192)*a(n+1)+(-4*n^2-28*n-48)*a(n+2)+a(n+3),a(0)=1,a(1)=8,a(2)=160} ogf] A052141 3.00967 [{(-8*n^2-8*n)*a(n)+(36*n^2+84*n+48)*a(n+1)+(-38*n^2-166*n-180)*a(n+2)+(3*n^2+15*n+18)*a(n+3),a(0)=1,a(1)=3,a(2)=26} ogf] A052141 6.08904 [4*f(x)^2*x^2-12*f(x)^2*x-4*f(x)*x^2+f(x)^2+12*f(x)*x+x^2-f(x)-3*x ogf] A052142 14.1766 [-1+4*x-4*x^2+(48*x^2+1-12*x-64*x^3)*f(x)^2 lgdegf] A052143 32.5547 [-3+4*x+(1-4*x)*f(x) lgdegf] A052143 4.63310 [{(4*n+8)*a(n+1)+(-4*n-11)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=17} ogf] A052145 2.76877 [{(8*n^4+68*n^3+216*n^2+304*n+160)*a(n+1)+(4*n^4+54*n^3+272*n^2+612*n+522)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=9,a(2)=200} ogf] A052149 10.1587 [-2*x*(x+2)/(x-1)^5 ogf] A052149 35.7653 [-(4*x+11)/(x+2)/(x-1) lgdogf] A052149 5.04572 [{(4+2*n)*a(n+3)+(-12-n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=4,a(2)=22} ogf] A052150 12.3706 [1/(3*x-1)/(x-1)^3 ogf] A052150 24.7210 [-6*(-1+2*x)/(3*x-1)/(x-1) lgdogf] A052150 4.12353 [{(-n-3)*a(n+3)+(14+4*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=1,a(1)=6,a(2)=24} ogf] A052150 4.96771 [(26449*f(x)+13149)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A052153 10.4786 [-(4*x^2-5*x-1)/(x-1)^4 ogf] A052153 5.20159 [(25216*f(x)+1290283)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-5*x-1) ogf] A052156 14.8679 [-(x-1)^2/(3*x-1) ogf] A052156 31.2320 [(3*x+1)/(3*x-1)/(x-1) lgdogf] A052156 7.96495 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=1,a(2)=4} ogf] A052156 8.46905 [-(f(x)-1)*(3*f(x)*x+x^2-f(x)-2*x+1) ogf] A052161 18.7233 [-(-7+16*x)/(4*x-1)/(x-1) lgdogf] A052161 3.01531 [{(-n-3)*a(n+3)+(17+5*n)*a(n+2)+(-20-4*n)*a(n+1),a(0)=1,a(1)=7,a(2)=34} ogf] A052161 3.60424 [(243535*f(x)+92416)*(4*f(x)*x^4-13*f(x)*x^3+15*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A052161 9.04592 [1/(4*x-1)/(x-1)^3 ogf] A052169 3.16004 [{(-n^2-4*n-4)*a(n+1)+(-2*n^2-12*n-18)*a(n+2)+(-n^2-7*n-14)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=19} ogf] A052177 6.98679 [x^3*f(x)^2-14*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A052177 8.11872 [-2*((6*x-1)^(1/2)*(-1+2*x)^(1/2)+1)/(6*x-1)^(1/2)/(-1+2*x)^(1/2)/x lgdogf] A052181 19.4497 [-12*(2*x+1)/(3*x+1)/(x-1) lgdogf] A052181 3.26114 [{(n+3)*a(n+3)+(-8+2*n)*a(n+2)+(-27-3*n)*a(n+1),a(0)=1,a(1)=12,a(2)=72} ogf] A052181 4.57756 [-(3*x+1)/(x-1)^9 ogf] A052183 3.07691 [{(135*n^2+405*n+300)*a(n+1)+(-47*n^2-232*n-285)*a(n+2)+(4*n^2+26*n+42)*a(n+3),a(0)=2,a(1)=3,a(2)=12} ogf] A052183 6.72627 [27*f(x)^3*x^2-4*f(x)^3*x-60*f(x)*x+9*f(x)+125*x-18 ogf] A052203 4.46794 [{(256*n^3+1408*n^2+2544*n+1512)*a(n+1)+(-27*n^3-162*n^2-321*n-210)*a(n+2),a(0)=1,a(1)=5} ogf] A052206 21.8616 [-8*(2+7*x)/(8*x+1)/(x-1) lgdogf] A052206 3.49060 [{(n+3)*a(n+3)+(-2+7*n)*a(n+2)+(-64-8*n)*a(n+1),a(0)=1,a(1)=16,a(2)=100} ogf] A052206 5.48523 [(8*x+1)/(x-1)^8 ogf] A052208 10.0886 [(x^2+1)*x/(x^2+14*x-1)/(x^2-2*x-1) ogf] A052208 4.86541 [-(159500*f(x)-13331)*(f(x)*x^4+12*f(x)*x^3-30*f(x)*x^2-x^3-12*f(x)*x+f(x)-x) ogf] A052208 9.95640 [-2*(-6-31*x+x^5+6*x^4+24*x^2+2*x^3)/(1+x^2)/(x^2+14*x-1)/(x^2-2*x-1) lgdogf] A052209 3.28146 [-(178393575825*f(x)-524879788)*(f(x)*x^4-56*f(x)*x^3+210*f(x)*x^2-56*f(x)*x+4*x^2+f(x)-4) ogf] A052209 6.50968 [-2*(28-211*x+x^5-28*x^4+112*x^2-2*x^3)/(x-1)/(x+1)/(x^2-4*x+1)/(x^2-52*x+1) lgdogf] A052209 7.22872 [-4*(x-1)*(x+1)/(x^2-4*x+1)/(x^2-52*x+1) ogf] A052226 21.3251 [-(15+49*x)/(7*x+1)/(x-1) lgdogf] A052226 3.42926 [{(n+3)*a(n+3)+(-3+6*n)*a(n+2)+(-56-7*n)*a(n+1),a(0)=1,a(1)=15,a(2)=92} ogf] A052226 5.35385 [(7*x+1)/(x-1)^8 ogf] A052227 6.56896 [27*f(x)^3*x^2-4*f(x)^3*x-15*f(x)*x+4*f(x)-x-4 ogf] A052241 99.9999 Evaluated at exp(-Pi) 3*exp(-1/4*Pi)*2^(3/4) A052244 15.9548 [-4*(-2+5*x)/(5*x-1)/(x-1) lgdogf] A052244 5.90919 [(207901*f(x)+63625)*(5*f(x)*x^4-16*f(x)*x^3+18*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A052244 8.04771 [1/(5*x-1)/(x-1)^3 ogf] A052245 14.2150 [-10*x/(x-1)/(10*x-1)^2 ogf] A052245 18.4683 [-3*(-7+10*x)/(10*x-1)/(x-1) lgdogf] A052245 6.09216 [{a(n+3)-21*a(n+2)+120*a(n+1)-100*a(n),a(0)=0,a(1)=10,a(2)=210} ogf] A052245 6.77539 [(21*f(x)+10)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-f(x)+10*x) ogf] A052254 21.8616 [-(17+63*x)/(9*x+1)/(x-1) lgdogf] A052254 3.49060 [{(n+3)*a(n+3)+(-1+8*n)*a(n+2)+(-72-9*n)*a(n+1),a(0)=1,a(1)=17,a(2)=108} ogf] A052254 5.48523 [(9*x+1)/(x-1)^8 ogf] A052255 20.6573 [-(13+32*x)/(1+4*x)/(x-1) lgdogf] A052255 3.32345 [{(n+3)*a(n+3)+(-7+3*n)*a(n+2)+(-36-4*n)*a(n+1),a(0)=1,a(1)=13,a(2)=81} ogf] A052255 4.66503 [-(4*x+1)/(x-1)^9 ogf] A052262 10.1611 [-(-13+40*x)/(10*x-1)/(x-1) lgdogf] A052262 13.4418 [x/(10*x-1)/(x-1)^3 ogf] A052262 4.62609 [{(n+2)*a(n+3)+(-24-11*n)*a(n+2)+(40+10*n)*a(n+1),a(0)=0,a(1)=1,a(2)=13} ogf] A052262 5.39711 [(2260631*f(x)+222300)*(10*f(x)*x^4-31*f(x)*x^3+33*f(x)*x^2-13*f(x)*x+f(x)-x) ogf] A052267 15.4530 [-6*(1+3*x+3*x^2+5*x^3)/(x-1)/(x+1)/(3*x^2+1) lgdogf] A052267 6.21182 [-(3*x^2+1)/(x+1)^3/(x-1)^9 ogf] A052268 10.2322 [-10*f(x)*x+f(x)-9 ogf] A052268 12.7494 [1/2+5*x-1/2*(1+16*x+100*x^2)^(1/2) revogf] A052268 16.5289 [-9/(10*x-1) ogf] A052268 27.0926 [9/(10*x-1)/(x-1) lgdogf] A052268 8.10851 [{a(n+1)-10*a(n),a(0)=9} ogf] A052276 5.50684 [(5*x^7-8*x^6-9*x^5+19*x^4+3*x^3-8*x^2+x+3)/(x+1)^3/(x-1)^4 ogf] A052276 7.60821 [(-4-6*x-9*x^6+14*x^4-7*x^2+3*x^7-39*x^3)/(x-1)/(x+1)/(5*x^7-8*x^6-9*x^5+19*x^4+3*x^3-8*x^2+x+3) lgdogf] A052282 19.5258 [-x^11+x^3+2*x^2+2*x+1 ogf_with_Euler_transform] A052282 6.59653 [-(x^2-x+1)*(x^4-x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A052282 8.25593 [-(1+5*x+3*x^9+6*x^6+7*x^5-5*x^4+6*x^2+x^8+2*x^7+4*x^3)/(x-1)/(x+1)/(1+x^2+x)/(x^2-x+1)/(x^4-x^2+1) lgdogf] A052341 7.06267 [-(1+8*x+26*x^6+36*x^5+31*x^4+18*x^2+x^8+8*x^7+24*x^3)/(x+1)/(x^2+x+1)/(x^4+4*x^3+7*x^2+4*x+1)/(x^2-x-1) lgdogf] A052341 7.32117 [-(x^4+4*x^3+7*x^2+4*x+1)/(x+1)/(x^2+x+1)/(x^2-x-1) ogf] A052379 14.6486 [-1/16*(-8-9*x+(64+144*x+49*x^2)^(1/2))/x revogf] A052379 18.1128 [8/(8*x-1)/(x-1) ogf] A052379 24.4143 [-(-9+16*x)/(8*x-1)/(x-1) lgdogf] A052379 7.20146 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=8,a(1)=72} ogf] A052379 8.84361 [(65*f(x)+128)*(8*f(x)*x^2-9*f(x)*x+f(x)-8) ogf] A052380 21.0987 [6/(x^2+x+1)/(x-1)^2 ogf] A052380 30.3004 [-(1+x+4*x^2)/(x-1)/(x^2+x+1) lgdogf] A052380 34.4708 [[x^2+1] ogf_with_Euler_transform] A052380 6.92038 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=6,a(1)=6,a(2)=6,a(3)=12} ogf] A052380 9.10577 [-f(x)*(f(x)*x^4-f(x)*x^3-f(x)*x+f(x)-6) ogf] A052382 43.7631 [-x^9+x^8+2 ogf_with_Euler_transform] A052383 7.15059 [-x*(10*x^17-11*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A052386 11.8736 [-9*f(x)*x^2+10*f(x)*x-f(x)+9*x ogf] A052386 15.2888 [-1/18*(-9-10*x+(16*x+9)^(1/2)*(4*x+9)^(1/2))/x revogf] A052386 18.7478 [9*x/(x-1)/(9*x-1) ogf] A052386 29.3035 [-2*(9*x-5)/(9*x-1)/(x-1) lgdogf] A052386 8.68802 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=9} ogf] A052387 16.4655 [-(-8-2*x-3*x^2+5*x^3)/(x-1)/(x^3-x^2-1) lgdogf] A052387 5.93144 [-x*(x^3-x^2-1)/(x-1)^8 ogf] A052392 3.57831 [4*x^3*f(x)^2-8*f(x)^2*x^2-4*f(x)*x^3+f(x)^2*x+12*f(x)*x^2-9*f(x)*x-x^2+f(x)+2*x-1 ogf] A052404 6.67033 [-x*(10*x^26-10*x^17-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A052421 7.84056 [x*(x+1)*(x^7+x^6+x^4+x^2+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A052428 4.28364 [-(x^31-x^30+x^27-x^24+x^21-x^20+x^17-x^15+x^12+3*x^11-3*x^10+3*x^9-4*x^8+4*x^7-4*x^6+5*x^4+7*x^3-3*x^2-9*x-1)/(x-1)^2 ogf] A052454 8.26161 [-(x-1)*(x^4+4*x^3+17*x^2+4*x+1)/(x^6-38*x^3+1) ogf] A052459 10.7612 [-(15+85*x+2*x^4+107*x^2+31*x^3)/(x-1)/(1+3*x+x^2)/(x^2+6*x+1) lgdogf] A052459 6.38130 [(x^2+3*x+1)*(x^2+6*x+1)/(x-1)^6 ogf] A052460 4.17936 [(x^6+42*x^5+303*x^4+568*x^3+303*x^2+42*x+1)/(x-1)^8 ogf] A052460 5.97473 [-2*(25+450*x+x^6+66*x^5+711*x^4+1761*x^2+2026*x^3)/(x-1)/(x^6+42*x^5+303*x^4+568*x^3+303*x^2+42*x+1) lgdogf] A052462 4.77718 [(53167*f(x)+60185)*(25*f(x)*x^3-25*f(x)*x^2-f(x)*x+25*x^2+f(x)-20*x-4) ogf] A052462 5.06545 [{-a(n+3)+a(n+2)+25*a(n+1)-25*a(n),a(0)=4,a(1)=24,a(2)=99} ogf] A052462 7.77587 [-(24+150*x+625*x^4+225*x^2-1000*x^3)/(x-1)/(5*x+1)/(5*x-1)/(25*x^2-20*x-4) lgdogf] A052462 9.03988 [-(25*x^2-20*x-4)/(x-1)/(5*x+1)/(5*x-1) ogf] A052463 4.36555 [{-a(n+3)+50*a(n+2)-49*a(n+1),a(0)=0,a(1)=47,a(2)=2301} ogf] A052463 5.24846 [-f(x)*(49*f(x)*x^2-50*f(x)*x+49*x^2+f(x)-47*x) ogf] A052463 8.81347 [-x*(49*x-47)/(49*x-1)/(x-1) ogf] A052463 9.00385 [-1/98*(-47-50*x+(2209+4504*x+2304*x^2)^(1/2))/(1+x) revogf] A052463 9.56659 [-(2301-4606*x+2401*x^2)/(x-1)/(49*x-47)/(49*x-1) lgdogf] A052465 3.88162 [{-a(n+3)+a(n+2)+121*a(n+1)-121*a(n),a(0)=6,a(1)=116,a(2)=721} ogf] A052465 5.34947 [-(116+1210*x+14641*x^4+11253*x^2-26620*x^3)/(x-1)/(11*x+1)/(11*x-1)/(121*x^2-110*x-6) lgdogf] A052465 6.24928 [(36538435*f(x)+35675717)*(121*f(x)*x^3-121*f(x)*x^2-f(x)*x+121*x^2+f(x)-110*x-6) ogf] A052465 6.75065 [-(121*x^2-110*x-6)/(x-1)/(11*x+1)/(11*x-1) ogf] A052466 4.03286 [{-a(n+3)+a(n+2)+169*a(n+1)-169*a(n),a(0)=6,a(1)=162,a(2)=1007} ogf] A052466 5.23456 [(107942377*f(x)+103551851)*(169*f(x)*x^3-169*f(x)*x^2-f(x)*x+169*x^2+f(x)-156*x-6) ogf] A052466 5.61042 [-(162+1690*x+28561*x^4+23491*x^2-52728*x^3)/(x-1)/(13*x-1)/(13*x+1)/(169*x^2-156*x-6) lgdogf] A052466 7.07212 [-(169*x^2-156*x-6)/(x-1)/(13*x-1)/(13*x+1) ogf] A052470 6.82155 [(2*x^48-2*x^47+2*x^38-2*x^37+2*x^32-2*x^31+4*x^20-4*x^19+4*x^18+x^17-5*x^16+24*x^2-23*x-5)/(x-1) ogf] A052472 14.2992 [-(-35+42*x-21*x^2+4*x^3)/(x-1)/(x-2)/(2*x^2-5*x+5) lgdogf] A052472 5.99831 [{(n^2+9*n+14)*a(n+1)+(-n^2-5*n-4)*a(n+2),a(0)=0,a(1)=10} ogf] A052472 7.80425 [x*(x-2)*(2*x^2-5*x+5)/(x-1)^5 ogf] A052481 11.1252 [-(8*x^2-4*x+1)/(2*x-1)^3 ogf] A052481 19.3268 [-2*(1+8*x^2)/(-1+2*x)/(8*x^2-4*x+1) lgdogf] A052481 6.10412 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A052481 6.15863 [(f(x)-1)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A052482 12.3287 [-(4*x^2-6*x+3)/(2*x-1)^3 ogf] A052482 16.7327 [-4*(3-4*x+2*x^2)/(-1+2*x)/(4*x^2-6*x+3) lgdogf] A052482 18.1271 [1/2*(-1+(2*x+1)^(1/3))/(2*x+1)^(1/3) revogf] A052482 6.64676 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=3,a(1)=12,a(2)=40} ogf] A052482 6.82479 [(9*f(x)-7)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-6*x+3) ogf] A052501 107.524 [1+x^4 lgdegf] A052502 5.49355 [{(9*n^2+27*n+20)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A052503 4.05538 [{(8*n^3+48*n^2+94*n+60)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=9} ogf] A052505 3.35136 [{(-243*n^4-1458*n^3-3267*n^2-3240*n-1200)*a(n+1)+(8*n^2+28*n+24)*a(n+2),a(0)=1,a(1)=3} egf] A052506 11.1232 [-n*a(n)+(-2*n-3+n^2)*a(n+1)+(6*n+4+2*n^2)*a(n+2),a(0)=0,a(1)=2 lgdegf] A052512 14.4511 [(n+3)*a(n+3)+n*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3/2 lgdegf] A052515 10.4709 [2*x^4*(2*x-3)/(2*x-1)/(x-1)^2 ogf] A052515 15.9681 [-2*(5-10*x+4*x^2)/(x-1)/(-1+2*x)/(2*x-3) lgdogf] A052515 3.75719 [{(-2*n-4)*a(n+1)+(3*n+4)*a(n+2)+(-n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=6} ogf] A052515 5.96936 [-f(x)*(-4*x^5+2*f(x)*x^3+6*x^4-5*f(x)*x^2+4*f(x)*x-f(x)) ogf] A052516 6.24788 [2*x^6*(6*x^2-15*x+10)/(2*x-1)/(x-1)^3 ogf] A052516 9.04454 [-(-35+98*x-84*x^2+24*x^3)/(-1+2*x)/(x-1)/(6*x^2-15*x+10) lgdogf] A052517 4.85548 [{a(n)*n^2+(-2*n-1)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052518 3.30129 [{(-n^3+n)*a(n)+(2*n^2+n-1)*a(n+1)-a(n+2)*n,a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=6} ogf] A052520 14.6548 [x^4/(x-1)^2 egf] A052520 3.73950 [{(-n^2-n+2)*a(n+1)+(-2+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052520 67.7784 [-2/(x-1) lgdegf] A052520 8.60679 [x^4-f(x)*x^2+2*f(x)*x-f(x) egf] A052521 14.1690 [x^6/(x-1)^2 egf] A052521 3.12055 [{(-n^2+n+6)*a(n+1)+(-4+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=720} ogf] A052521 66.2805 [-2/(x-1) lgdegf] A052521 8.32148 [x^6-f(x)*x^2+2*f(x)*x-f(x) egf] A052522 5.95959 [(2*n-n^2)*a(n)+(-2*n-2)*a(n+1)+(6*n+4+2*n^2)*a(n+2)+(-5*n-6-n^2)*a(n+3),a(0)=0,a(1)=1,a(2)=0 revegf] A052524 13.1831 [a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=0,a(3)=-1 revegf] A052524 8.49193 [-f(x)^3-f(x)^2+f(x)*x+f(x)-x egf] A052527 11.7207 [-(x-1)/(x^4-x^3-x^2-x+1) ogf] A052527 15.3072 [-x*(2+3*x^3+2*x-6*x^2)/(x-1)/(x^4-x^3-x^2-x+1) lgdogf] A052527 5.76582 [(107*f(x)-18)*(f(x)*x^4-f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052528 12.7703 [-(x-1)/(2*x^3-2*x^2-2*x+1) ogf] A052528 14.4208 [-(1+4*x-8*x^2+4*x^3)/(x-1)/(2*x^3-2*x^2-2*x+1) lgdogf] A052528 6.04310 [{-a(n+3)+2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A052528 6.26691 [-(55*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A052529 20.4945 [(2*x+1)/(x-1)/(x^3-3*x^2+4*x-1) lgdogf] A052529 4.87490 [{a(n+4)-4*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=13} ogf] A052529 5.27123 [-(2*f(x)-5)*(f(x)*x^3-3*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A052529 9.39655 [(x-1)^3/(x^3-3*x^2+4*x-1) ogf] A052530 11.2388 [-f(x)*x^2+4*f(x)*x-f(x)+2*x ogf] A052530 17.6603 [-(-2*x-1+(1+x)^(1/2)*(1+3*x)^(1/2))/x revogf] A052530 17.9213 [2*x/(x^2-4*x+1) ogf] A052530 32.6716 [-2*(x-2)/(x^2+1-4*x) lgdogf] A052530 8.18628 [{a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A052531 11.4767 [-(x^2+2*x-2)/(x-1)/(2*x-1)/(x+1) ogf] A052531 12.0389 [-2*(1+x+x^4-6*x^2+4*x^3)/(x-1)/(-1+2*x)/(x+1)/(x^2+2*x-2) lgdogf] A052531 5.98358 [-(17*f(x)+23)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)+2*x-2) ogf] A052531 6.25071 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=2,a(2)=5} ogf] A052532 12.7018 [-(x-1)/(x^5-x^4-x^3-x+1) ogf] A052532 15.9851 [-x^2*(4*x^3-8*x^2+3+2*x)/(x-1)/(x^5-x^4-x^3-x+1) lgdogf] A052533 11.1741 [3*f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A052533 15.6437 [(x-1)/(3*x^2+x-1) ogf] A052533 17.7863 [1/2/(3*x-1)*(-1-x+(1-2*x+13*x^2)^(1/2)) revogf] A052533 24.7738 [-3*x*(x-2)/(x-1)/(3*x^2+x-1) lgdogf] A052533 8.69096 [{-a(n+2)+a(n+1)+3*a(n),a(0)=1,a(1)=0} ogf] A052534 11.8744 [-(x-1)*(x+1)/(x^3-x^2-2*x+1) ogf] A052534 16.5808 [-(2+x^4-x^2)/(x-1)/(x+1)/(x^3-x^2-2*x+1) lgdogf] A052534 6.04321 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A052534 6.32559 [(9*f(x)-1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A052535 12.5588 [-(x-1)*(x+1)/(x^4-2*x^2-x+1) ogf] A052535 13.4951 [-(1+2*x+2*x^5+x^2-4*x^3)/(x-1)/(x+1)/(x^4-2*x^2-x+1) lgdogf] A052535 6.44911 [-(5*f(x)-1)*(f(x)*x^4-2*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A052536 14.7214 [-(x-1)/(x^3-3*x+1) ogf] A052536 19.0965 [-(2-3*x^2+2*x^3)/(x-1)/(x^3-3*x+1) lgdogf] A052536 7.04749 [{-a(n+3)+3*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A052536 7.70306 [(29*f(x)-5)*(f(x)*x^3-3*f(x)*x+f(x)+x-1) ogf] A052537 12.8232 [2*f(x)*x^3+f(x)*x-f(x)-x+1 ogf] A052537 17.9526 [(x-1)/(2*x^3+x-1) ogf] A052537 25.0152 [-2*x^2*(2*x-3)/(x-1)/(2*x^3+x-1) lgdogf] A052537 8.78114 [{-a(n+3)+a(n+2)+2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A052538 11.7531 [-(x-1)/(3*x^3-3*x^2-2*x+1) ogf] A052538 12.9730 [-(1+6*x-12*x^2+6*x^3)/(x-1)/(3*x^3-3*x^2-2*x+1) lgdogf] A052538 5.56173 [{-a(n+3)+2*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A052538 5.7148 [-(109*f(x)+6)*(3*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A052539 13.3781 [-(5*x-2)/(4*x-1)/(x-1) ogf] A052539 15.5124 [-(5-16*x+20*x^2)/(x-1)/(4*x-1)/(5*x-2) lgdogf] A052539 15.9317 [-1/2*(-2-5*x+(4+9*x^2)^(1/2))/(4*x+5) revogf] A052539 6.76421 [-(9*f(x)+7)*(4*f(x)*x^2-5*f(x)*x+f(x)+5*x-2) ogf] A052539 7.34163 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=2,a(1)=5} ogf] A052540 17.0386 [-(x-1)/(x^4-x^3-2*x+1) ogf] A052540 20.1980 [-(1+3*x^4+3*x^2-6*x^3)/(x-1)/(x^4-x^3-2*x+1) lgdogf] A052540 8.36154 [-(46*f(x)-5)*(f(x)*x^4-f(x)*x^3-2*f(x)*x+f(x)+x-1) ogf] A052541 23.0225 [-1/(x^3+3*x-1) ogf] A052541 32.4527 [-3*(x^2+1)/(-1+3*x+x^3) lgdogf] A052541 8.08236 [{-a(n+3)+3*a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A052541 9.37954 [(f(x)-1)*(f(x)*x^3+3*f(x)*x-f(x)+1) ogf] A052542 11.4808 [-f(x)*x^2-2*f(x)*x+x^2+f(x)-1 ogf] A052542 15.6982 [(x-1)*(x+1)/(x^2+2*x-1) ogf] A052542 22.8933 [2*(x^2+1)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A052542 7.54131 [{-a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A052543 11.9645 [-(x-1)/(x+1)/(2*x^2-4*x+1) ogf] A052543 12.9426 [-2*(1+2*x-4*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2-4*x+1) lgdogf] A052543 5.66178 [{-a(n+3)+3*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A052543 5.87147 [-(22*f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A052544 10.6289 [-(x-1)^2/(x^3-3*x^2+4*x-1) ogf] A052544 14.7751 [-(-2+2*x-3*x^2+x^3)/(x-1)/(x^3-3*x^2+4*x-1) lgdogf] A052544 5.78895 [{-a(n+3)+4*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A052544 5.84109 [(3*f(x)-1)*(f(x)*x^3-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A052545 12.2506 [(x-1)^2/(x^3-3*x+1) ogf] A052545 17.6694 [-(1+3*x-3*x^2+x^3)/(x-1)/(x^3-3*x+1) lgdogf] A052545 6.90723 [(61*f(x)-6)*(f(x)*x^3-3*f(x)*x-x^2+f(x)+2*x-1) ogf] A052545 6.90723 [{a(n+3)-3*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A052546 11.3655 [-(x-1)/(2*x^4-2*x^3-x^2-x+1) ogf] A052546 13.3848 [-x*(2+6*x^3+5*x-12*x^2)/(x-1)/(2*x^4-2*x^3-x^2-x+1) lgdogf] A052546 5.459 [-(215*f(x)-6)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052547 15.3053 [-(x-1)/(x^3-2*x^2-x+1) ogf] A052547 21.0597 [-x*(4-5*x+2*x^2)/(x-1)/(x^3-2*x^2-x+1) lgdogf] A052547 7.30795 [{-a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A052547 7.37438 [-(81*f(x)-145)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052548 11.1674 [2*f(x)*x^2-3*f(x)*x+f(x)+5*x-3 ogf] A052548 15.6343 [-(5*x-3)/(2*x-1)/(x-1) ogf] A052548 17.6842 [-1/2*(-3-3*x+(9-2*x+x^2)^(1/2))/(5+2*x) revogf] A052548 17.6842 [-2*(2-6*x+5*x^2)/(x-1)/(5*x-3)/(-1+2*x) lgdogf] A052548 8.57982 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=3,a(1)=4} ogf] A052549 13.0880 [-(x^2-x-1)/(2*x-1)/(x-1) ogf] A052549 18.3765 [-(4-6*x+x^2)/(x-1)/(-1+2*x)/(x^2-x-1) lgdogf] A052549 6.80065 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=4,a(2)=9} ogf] A052549 7.45877 [(3*f(x)+5)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)-x-1) ogf] A052550 12.7481 [-(2*x-1)/(2*x^3-x^2-3*x+1) ogf] A052550 14.0950 [-(1+2*x-8*x^2+8*x^3)/(-1+2*x)/(2*x^3-x^2-3*x+1) lgdogf] A052550 6.03256 [{-a(n+3)+3*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A052550 6.14224 [-(129*f(x)-44)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A052551 20.9108 [1/(x-1)/(2*x^2-1) ogf] A052551 24.4757 [-(-1-4*x+6*x^2)/(x-1)/(2*x^2-1) lgdogf] A052551 6.90802 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A052551 7.66037 [(15*f(x)+26)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A052552 13.3402 [-(2*x^2+x-2)/(x-1)/(2*x^2-1) ogf] A052552 14.5054 [-(1+4*x+4*x^4-12*x^2+4*x^3)/(x-1)/(2*x^2-1)/(2*x^2+x-2) lgdogf] A052552 7.01511 [-(f(x)-74)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+2*x^2+f(x)+x-2) ogf] A052552 7.26564 [{-a(n+3)+a(n+2)+2*a(n+1)-2*a(n),a(0)=2,a(1)=1,a(2)=3} ogf] A052554 11.6469 [(x-1)/(x^2+x-1) egf] A052554 21.4699 [-x*(x-2)/(x-1)/(x^2+x-1) lgdegf] A052554 8.31921 [f(x)*x^2+f(x)*x-f(x)-x+1 egf] A052555 16.8167 [-1/(x^2+2*x-1) egf] A052555 27.1695 [-2*(x+1)/(x^2-1+2*x) lgdegf] A052555 3.88078 [{(n^2+5*n+6)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A052555 6.68616 [(29*f(x)-13)*(f(x)*x^2+2*f(x)*x-f(x)+1) egf] A052556 15.8821 [-1/(x^3+x-1) egf] A052556 24.3968 [-(1+3*x^2)/(-1+x+x^3) lgdegf] A052556 3.17642 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=12} ogf] A052556 6.166 [-(f(x)-1)*(f(x)*x^3+f(x)*x-f(x)+1) egf] A052557 11.0580 [(x-1)/(x^3+x-1) egf] A052557 16.3907 [-x^2*(-3+2*x)/(x-1)/(-1+x+x^3) lgdegf] A052557 5.40880 [{-a(n+3)+a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=0} egf] A052557 7.89857 [f(x)*x^3+f(x)*x-f(x)-x+1 egf] A052558 19.1310 [1/(x+1)/(x-1)^2 egf] A052558 34.7742 [-(3*x+1)/(x-1)/(x+1) lgdegf] A052558 5.61784 [{(-n^2-6*n-8)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=4} ogf] A052558 9.19284 [-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1 egf] A052559 10.0890 [-(x-1)/(x^3-x^2-2*x+1) egf] A052559 12.4561 [-(1+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2-2*x+1) lgdegf] A052559 4.77427 [{-a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} egf] A052559 4.9511 [-(23*f(x)-2)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+x-1) egf] A052560 16.963 [-f(x)*x+f(x)-3 egf] A052560 27.8194 [-3/(x-1) egf] A052560 7.90323 [{(-n-2)*a(n+1)+a(n+2),a(0)=3,a(1)=3} ogf] A052560 85.3900 [-1/(x-1) lgdegf] A052561 11.6899 [-(3*x-2)/(2*x-1)/(x-1) egf] A052561 13.9050 [-(3-8*x+6*x^2)/(x-1)/(-1+2*x)/(3*x-2) lgdegf] A052561 5.78074 [-(14*f(x)+53)*(2*f(x)*x^2-3*f(x)*x+f(x)+3*x-2) egf] A052562 12.7133 [-5*f(x)*x+f(x)-1 egf] A052562 24.8213 [-1/(5*x-1) egf] A052562 5.85671 [{(-5*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A052562 51.0157 [-5/(5*x-1) lgdegf] A052563 11.5217 [-3*f(x)*x+f(x)+x-1 egf] A052563 14.0129 [(x-1)/(3*x-1) egf] A052563 3.60053 [{(3*n^2+3*n)*a(n)+(-3*n^2-13*n-12)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A052563 33.8096 [2/(3*x-1)/(x-1) lgdegf] A052564 13.9322 [x*(x-1)/(2*x-1) egf] A052564 22.4955 [1/2+x-1/2*(1+4*x^2)^(1/2) revegf] A052564 3.50442 [{(-4*n^2-8*n)*a(n+1)+(2*n^2+12*n+12)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A052564 35.1493 [1/(-1+2*x)/(x-1) lgdegf] A052564 8.52569 [-f(x)*(2*f(x)*x-x^2-f(x)+x) egf] A052565 14.6761 [(1+3*x^4+3*x^2-6*x^3)/(x-1)/(x^4-x^3-1) lgdegf] A052565 15.1016 [(x^4-x^3-1)/(x-1) egf] A052565 3.57476 [{(16*n^3+32*n^2-64*n-128)*a(n+1)+(-3*n^3-34*n^2-27*n+64)*a(n+2)+(3*n^2+9*n)*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=12} ogf] A052565 9.24971 [(5*f(x)+36)*(-x^4+x^3+f(x)*x-f(x)+1) egf] A052566 12.7136 [-(x+2)/(x-1)/(x+1) egf] A052566 16.5833 [-f(x)*x^2+f(x)-x-2 egf] A052566 16.9758 [-(1+4*x+x^2)/(x-1)/(x+2)/(x+1) lgdegf] A052567 10.5253 [(x-1)^2/(x^2-3*x+1) egf] A052567 22.7617 [-(x+1)/(x-1)/(x^2-3*x+1) lgdegf] A052567 7.85693 [-f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 egf] A052568 12.7176 [-(x-1)/(x^2-3*x+1) egf] A052568 18.6911 [-(2-2*x+x^2)/(x-1)/(x^2-3*x+1) lgdegf] A052568 6.35882 [-(21*f(x)-5)*(f(x)*x^2-3*f(x)*x+f(x)+x-1) egf] A052569 13.4442 [1/(x^2+x+1)/(x-1)^2 egf] A052569 19.2583 [-(1+x+4*x^2)/(x-1)/(x^2+x+1) lgdegf] A052569 5.80226 [-f(x)*(f(x)*x^4-f(x)*x^3-f(x)*x+f(x)-1) egf] A052570 18.5624 [-x/(4*x-1) egf] A052570 52.9810 [-4/(4*x-1) lgdegf] A052570 58.8678 [x/(1+4*x) revegf] A052570 6.81405 [{(-4*n-4)*a(n)+a(n+1),a(0)=0,a(1)=1} ogf] A052570 9.12391 [-f(x)*(4*f(x)*x-f(x)+x) egf] A052571 14.8977 [x^3/(x-1)^2 egf] A052571 4.27298 [{(-n^2-2*n)*a(n+1)+(-1+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052571 68.5273 [-2/(x-1) lgdegf] A052571 8.74944 [-f(x)*x^2+x^3+2*f(x)*x-f(x) egf] A052572 10.7394 [-(2*x^2-2*x-1)/(x-1)^2 egf] A052572 19.9002 [-2*(x-2)/(x-1)/(2*x^2-2*x-1) lgdegf] A052572 6.12031 [(f(x)+7)*(f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x-1) egf] A052573 11.5847 [-2*(2*x-1)/(3*x-1)/(x-1) egf] A052573 13.0764 [-2*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(-1+2*x) lgdegf] A052573 5.79235 [-(13*f(x)+6)*(3*f(x)*x^2-4*f(x)*x+f(x)+4*x-2) egf] A052574 12.2680 [-(2*x-1)/(x^2-3*x+1) egf] A052574 15.4428 [-(1-2*x+2*x^2)/(-1+2*x)/(x^2-3*x+1) lgdegf] A052574 6.20293 [-(3*f(x)-2)*(f(x)*x^2-3*f(x)*x+f(x)+2*x-1) egf] A052575 10.4162 [-(x-1)/(2*x^3-2*x^2-2*x+1) egf] A052575 11.7500 [-(1+4*x-8*x^2+4*x^3)/(x-1)/(2*x^3-2*x^2-2*x+1) lgdegf] A052575 4.92912 [{-a(n+3)+2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} egf] A052575 5.11168 [-(55*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)+x-1) egf] A052576 10.7357 [(x-1)*(2*x^2+x+1)/(2*x-1) egf] A052576 11.1845 [2*(1+x-4*x^2+4*x^3)/(-1+2*x)/(x-1)/(2*x^2+x+1) lgdegf] A052576 6.04652 [-(188*f(x)+253)*(-2*x^3+2*f(x)*x+x^2-f(x)+1) egf] A052577 16.1407 [1/(3*x-1)/(x-1) egf] A052577 21.7213 [-2*(3*x-2)/(3*x-1)/(x-1) lgdegf] A052577 3.64824 [{(3*n^2+15*n+18)*a(n+1)+(-4*n-12)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=26} ogf] A052577 8.65156 [(5*f(x)+3)*(3*f(x)*x^2-4*f(x)*x+f(x)-1) egf] A052578 11.7355 [-f(x)*(f(x)*x-f(x)+4*x) egf] A052578 23.8756 [-4*x/(x-1) egf] A052578 67.0295 [-1/(x-1) lgdegf] A052578 76.6051 [x/(x+4) revegf] A052578 8.76447 [{(-n-1)*a(n)+a(n+1),a(0)=0,a(1)=4} ogf] A052579 11.5692 [-(1+2*x+x^4+6*x^2+2*x^3)/(x-1)/(x^2+x+1)/(2+x+x^2) lgdegf] A052579 12.0538 [-(x^2+x+2)/(x-1)/(x^2+x+1) egf] A052579 7.77154 [{-a(n+3)+a(n),a(0)=2,a(1)=1,a(2)=1} egf] A052579 7.87516 [(5*f(x)-7)*(f(x)*x^3+x^2-f(x)+x+2) egf] A052580 11.6257 [(2*x-1)/(x^2+2*x-1) egf] A052580 16.5963 [-2*x*(x-1)/(-1+2*x)/(x^2-1+2*x) lgdegf] A052580 8.30408 [f(x)*x^2+2*f(x)*x-f(x)-2*x+1 egf] A052581 12.1161 [(x-1)/(x^4+x-1) egf] A052581 19.3653 [-x^3*(3*x-4)/(x-1)/(x^4+x-1) lgdegf] A052581 8.65434 [f(x)*x^4+f(x)*x-f(x)-x+1 egf] A052582 13.6877 [2*x/(x-1)^2 egf] A052582 21.6352 [2*x/(1+(1+2*x)^(1/2))^2 revegf] A052582 4.56256 [{(-n^2-4*n-4)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=2} ogf] A052582 62.2013 [-2/(x-1) lgdegf] A052582 8.58379 [-f(x)*x^2+2*f(x)*x-f(x)+2*x egf] A052583 10.4558 [x*(x-1)/(x^2+x-1) egf] A052583 14.0679 [1/2/(x-1)*(-x-1+(5*x^2+1-2*x)^(1/2)) revegf] A052583 21.1018 [-x*(x-2)/(x-1)/(x^2+x-1) lgdegf] A052583 5.75654 [(f(x)-1)*(f(x)*x^2+f(x)*x-x^2-f(x)+x) egf] A052584 10.6344 [2*f(x)*x^2-3*f(x)*x-x^2+f(x)+4*x-2 egf] A052584 12.4286 [(2-6*x+5*x^2)/(-1+2*x)/(x-1)/(x^2-4*x+2) lgdegf] A052584 14.2461 [(x^2-4*x+2)/(2*x-1)/(x-1) egf] A052584 3.47945 [{(-2*n^3-6*n^2-4*n)*a(n)+(2*n^3+19*n^2+48*n+36)*a(n+1)+(-3*n^2-19*n-27)*a(n+2)+(n+3)*a(n+3),a(0)=2,a(1)=2,a(2)=6} ogf] A052585 20.4254 [-1/(x+1)/(2*x-1) egf] A052585 21.8663 [-(1+4*x)/(x+1)/(-1+2*x) lgdegf] A052585 4.68083 [{(2*n^2+10*n+12)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A052585 8.12096 [(11*f(x)-10)*(2*f(x)*x^2+f(x)*x-f(x)+1) egf] A052586 10.4558 [(x-1)*(x^2+x+1)/(x^3+x-1) egf] A052586 13.9043 [(1+2*x^3)/(x-1)/(x^2+x+1)/(-1+x+x^3) lgdegf] A052586 4.49415 [{-a(n+4)+a(n+3)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1} egf] A052586 5.50895 [-(f(x)-1)*(f(x)*x^3-x^3+f(x)*x-f(x)+1) egf] A052587 12.2358 [x^2*(x-1)/(2*x-1) egf] A052587 3.31693 [{(-6*n^2-6*n+12)*a(n+1)+(2*n^2+11*n+3)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A052587 34.0451 [1/(-1+2*x)/(x-1) lgdegf] A052587 7.75507 [-f(x)*(-x^3+2*f(x)*x+x^2-f(x)) egf] A052588 11.5217 [-x*(2+3*x^3+2*x-6*x^2)/(x-1)/(x^4-x^3-x^2-x+1) lgdegf] A052588 4.34542 [(107*f(x)-18)*(f(x)*x^4-f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1) egf] A052588 8.83333 [-(x-1)/(x^4-x^3-x^2-x+1) egf] A052589 11.526 [-2*f(x)*x^2+3*f(x)*x-f(x)+x egf] A052589 15.5029 [-1/4*(-1-3*x+(1+6*x+x^2)^(1/2))/x revegf] A052589 20.6070 [x/(2*x-1)/(x-1) egf] A052589 22.2433 [-(4*x-3)/(-1+2*x)/(x-1) lgdegf] A052589 4.75546 [{(-2*n^2-10*n-12)*a(n+1)+(3*n+9)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A052590 12.0254 [-(x-1)/(2*x^2-4*x+1) egf] A052590 15.5827 [-(3-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdegf] A052590 7.02784 [f(x)*(2*f(x)*x^2-4*f(x)*x+f(x)+x-1) egf] A052591 12.3158 [x/(x+1)/(x-1)^2 egf] A052591 27.2611 [-(3*x+1)/(x-1)/(x+1) lgdegf] A052591 3.31862 [{(n^3+8*n^2+21*n+18)*a(n+1)+(n+3)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A052591 9.1527 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-x egf] A052592 12.5291 [-4*f(x)*x+f(x)+x-1 egf] A052592 15.2381 [(x-1)/(4*x-1) egf] A052592 3.91534 [{(4*n^2+4*n)*a(n)+(-4*n^2-17*n-16)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=3} ogf] A052592 36.8317 [3/(4*x-1)/(x-1) lgdegf] A052593 10.0952 [-a(n+4)+a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdegf] A052593 15.3468 [-1/(x^4+x-1) egf] A052593 5.95816 [-(f(x)-2)*(f(x)*x^4+f(x)*x-f(x)+1) egf] A052594 10.3228 [x*(2*x+1)*(x-1)/(2*x-1) egf] A052594 13.8095 [(3-4*x+4*x^2)/(x-1)/(2*x+1)/(-1+2*x) lgdegf] A052594 6.24463 [(44*f(x)+85)*(-2*x^3+2*f(x)*x+x^2-f(x)+x) egf] A052595 16.2266 [-1/(x^2+3*x-1) egf] A052595 26.2072 [-(3+2*x)/(x^2-1+3*x) lgdegf] A052595 3.74459 [{(n^2+5*n+6)*a(n+1)+(3*n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=20} ogf] A052595 6.22648 [-(11*f(x)-2)*(f(x)*x^2+3*f(x)*x-f(x)+1) egf] A052596 11.8674 [(x^2-x+1)*(x^3-x-1)/(x-1) egf] A052596 12.1133 [(1+4*x^5-8*x^4+4*x^3)/(x-1)/(x^2-x+1)/(x^3-x-1) lgdegf] A052597 17.0666 [-1/(x^3+x^2-1) egf] A052597 24.0961 [-x*(3*x+2)/(-1+x^2+x^3) lgdegf] A052597 3.27440 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(-n^2-7*n-12)*a(n+2)+a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=6} ogf] A052597 9.54572 [f(x)*x^3+f(x)*x^2-f(x)+1 egf] A052598 11.2403 [(x-1)/(x+1)/(2*x-1) egf] A052598 16.0369 [-2*x*(x-2)/(x-1)/(-1+2*x)/(x+1) lgdegf] A052598 8.02881 [2*f(x)*x^2+f(x)*x-f(x)-x+1 egf] A052599 16.2912 [-1/(x^3+2*x-1) egf] A052599 22.8716 [-(2+3*x^2)/(-1+2*x+x^3) lgdegf] A052599 5.71924 [{-a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=2,a(2)=4} egf] A052599 6.63715 [(f(x)-1)*(f(x)*x^3+2*f(x)*x-f(x)+1) egf] A052600 14.2956 [1/(x-1)/(2*x-1)/(x+1) egf] A052600 14.3716 [-2*(-1-x+3*x^2)/(x-1)/(-1+2*x)/(x+1) lgdegf] A052600 4.72266 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=5} egf] A052600 5.03751 [-(21*f(x)+44)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-1) egf] A052601 11.7123 [(x-1)/(2*x^3+x-1) egf] A052601 15.7929 [-2*x^2*(-3+2*x)/(x-1)/(2*x^3+x-1) lgdegf] A052601 5.72886 [{-a(n+3)+a(n+2)+2*a(n),a(0)=1,a(1)=0,a(2)=0} egf] A052601 8.36595 [2*f(x)*x^3+f(x)*x-f(x)-x+1 egf] A052602 20.8564 [-x*(x-2)/(x-1)/(x^2+x-1) lgdegf] A052602 3.52097 [{(n^2+3*n+2)*a(n)+(n+2)*a(n+1)-a(n+2),a(0)=0,a(1)=0,a(2)=2,a(3)=0} ogf] A052602 5.65729 [-f(x)*(f(x)*x^2-x^3+f(x)*x+x^2-f(x)) egf] A052602 9.49998 [x^2*(x-1)/(x^2+x-1) egf] A052603 18.6475 [(2*x+1)/(x-1)/(x^3-3*x^2+4*x-1) lgdegf] A052603 4.43335 [{a(n+4)-4*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=13} egf] A052603 4.79379 [-(2*f(x)-5)*(f(x)*x^3-3*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) egf] A052603 8.54543 [(x-1)^3/(x^3-3*x^2+4*x-1) egf] A052604 11.5615 [-(1+3*x^4+3*x^2-6*x^3)/(x-1)/(x^4-x^3-2*x+1) lgdegf] A052604 4.81729 [-(46*f(x)-5)*(f(x)*x^4-f(x)*x^3-2*f(x)*x+f(x)+x-1) egf] A052604 9.81636 [-(x-1)/(x^4-x^3-2*x+1) egf] A052605 16.7528 [-x^2*(-3+2*x)/(x-1)/(x^3+x-1) lgdegf] A052605 5.31279 [{-a(n+3)+a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=0} egf] A052605 7.29518 [-f(x)*x^3-f(x)*x+x^2+f(x)-x egf] A052605 9.97504 [x*(x-1)/(x^3+x-1) egf] A052606 10.3706 [(x-1)^2/(x^2-4*x+1) egf] A052606 20.7042 [-2*(x+1)/(x-1)/(x^2-4*x+1) lgdegf] A052606 5.38866 [{-a(n+3)+4*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=8} egf] A052606 7.74146 [-f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1 egf] A052607 10.3438 [(x-1)*(x^2+x+1)/(x^3+x^2-1) egf] A052607 14.2691 [x*(2+x^3)/(x-1)/(x^2+x+1)/(-1+x^2+x^3) lgdegf] A052607 4.89481 [{-a(n+4)+a(n+2)+a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=0} egf] A052607 8.18237 [f(x)*x^3+f(x)*x^2-x^3-f(x)+1 egf] A052608 12.0753 [(x-1)/(x^2+2*x-1) egf] A052608 17.1557 [-(-1-2*x+x^2)/(x-1)/(x^2+2*x-1) lgdegf] A052608 6.31849 [(10*f(x)-9)*(f(x)*x^2+2*f(x)*x-f(x)-x+1) egf] A052609 13.5285 [2*x^2/(x-1)^2 egf] A052609 4.55050 [{(-1+n)*a(n+1)+(-n^2-n)*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A052609 6.50071 [f(x)*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)) egf] A052609 61.8332 [-2/(x-1) lgdegf] A052610 16.7744 [-1/(2*x^3+x-1) egf] A052610 24.6262 [-(1+6*x^2)/(2*x^3+x-1) lgdegf] A052610 3.33467 [{(-2*n^3-18*n^2-52*n-48)*a(n+1)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=18} ogf] A052610 6.51241 [-(f(x)-1)*(2*f(x)*x^3+f(x)*x-f(x)+1) egf] A052611 17.5174 [-1/(2*x^2+2*x-1) egf] A052611 23.6047 [-2*(2*x+1)/(2*x^2-1+2*x) lgdegf] A052611 3.98672 [{(2*n^2+10*n+12)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=12} ogf] A052611 7.04969 [(11*f(x)-7)*(2*f(x)*x^2+2*f(x)*x-f(x)+1) egf] A052612 11.5169 [-x*(x+2)/(x-1)/(x+1) egf] A052612 16.9758 [-(1+4*x+x^2)/(x-1)/(x+2)/(x+1) lgdegf] A052612 19.5875 [(-1+(1+x^2+x)^(1/2))/(x+1) revegf] A052612 7.29946 [(f(x)+2)*(f(x)*x^2+x^2-f(x)+2*x) egf] A052613 10.8333 [-(2*x-1)/(x^3-x^2-2*x+1) egf] A052613 13.7886 [-x*(2-5*x+4*x^2)/(-1+2*x)/(x^3-x^2-2*x+1) lgdegf] A052613 5.36603 [-(4*f(x)-5)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+2*x-1) egf] A052614 12.7675 [-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdegf] A052614 13.3712 [1/(x^2+1)/(x+1)/(x-1)^2 egf] A052614 5.77073 [-f(x)*(f(x)*x^5-f(x)*x^4-f(x)*x+f(x)-1) egf] A052615 10.7994 [x^3*(2*x^2-2*x-1)/(x-1) egf] A052615 17.2523 [(3-4*x+2*x^2)/(x-1)/(2*x^2-2*x-1) lgdegf] A052615 7.6316 [f(x)*(-2*x^5+2*x^4+x^3+f(x)*x-f(x)) egf] A052616 10.9742 [(39*f(x)-101)*(f(x)*x^2-f(x)+2*x+3) egf] A052616 13.1520 [-(2*x+3)/(x-1)/(x+1) egf] A052616 15.5073 [-2*(1+3*x+x^2)/(x-1)/(2*x+3)/(x+1) lgdegf] A052617 10.3072 [-(x^2-x-1)/(2*x-1)/(x-1) egf] A052617 14.4519 [-(4-6*x+x^2)/(-1+2*x)/(x-1)/(x^2-x-1) lgdegf] A052617 5.87398 [(3*f(x)+5)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)-x-1) egf] A052618 18.3494 [-1/(x+1)/(x-1)^3 egf] A052618 30.3068 [-2*(2*x+1)/(x-1)/(x+1) lgdegf] A052618 5.34589 [{(-n^2-7*n-10)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=8} ogf] A052618 6.85786 [(5*f(x)-7)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+1) egf] A052619 11.9829 [3*x^3+f(x)*x-f(x) egf] A052619 18.5942 [-3*x^3/(x-1) egf] A052619 4.90210 [{(-n-2)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=18} ogf] A052619 67.0295 [-1/(x-1) lgdegf] A052620 10.9071 [(x-1)^2/(x^3-3*x+1) egf] A052620 15.7365 [-(1+3*x-3*x^2+x^3)/(x-1)/(x^3-3*x+1) lgdegf] A052620 6.14972 [{a(n+3)-3*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=4} egf] A052620 6.14973 [(61*f(x)-6)*(f(x)*x^3-3*f(x)*x-x^2+f(x)+2*x-1) egf] A052621 10.2018 [-(x^3+x^2+x+2)/(x-1)/(x+1)/(x^2+1) egf] A052621 6.68395 [-(f(x)-1)*(f(x)*x^4+x^3+x^2-f(x)+x+2) egf] A052621 8.13322 [-(1+2*x+x^6+2*x^5+3*x^4+3*x^2+8*x^3)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2+x+2) lgdegf] A052622 11.2666 [(x-1)*(x+1)/(x^2+2*x-1) egf] A052622 16.3788 [2*(1+x^2)/(x-1)/(x+1)/(x^2+2*x-1) lgdegf] A052622 4.11986 [{(-n^2-3*n-2)*a(n)+(-2*n-4)*a(n+1)+a(n+2),a(0)=1,a(1)=2,a(2)=8} ogf] A052622 8.23972 [-f(x)*x^2-2*f(x)*x+x^2+f(x)-1 egf] A052623 22.0391 [-(x+1)/(x-1)/(x^2-3*x+1) lgdegf] A052623 4.75760 [{a(n+4)-3*a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=1,a(3)=3} egf] A052623 7.16812 [f(x)*x^2-x^3-3*f(x)*x+2*x^2+f(x)-x egf] A052623 9.43174 [x*(x-1)^2/(x^2-3*x+1) egf] A052624 11.5460 [2*(-1-x+x^4+3*x^2-3*x^3)/(x-1)/(x^4-2*x^3+x^2+1) lgdegf] A052624 5.29153 [(14*f(x)+33)*(-x^4+f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)-1) egf] A052624 8.71066 [(x^4-2*x^3+x^2+1)/(x-1)^2 egf] A052625 16.3784 [-x^2*(x-3)/(x-1)/(x^3-x^2+2*x-1) lgdegf] A052625 4.81817 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} egf] A052625 5.95505 [-f(x)*x^3+f(x)*x^2-2*f(x)*x-x^2+f(x)+2*x-1 egf] A052625 8.68851 [-(x-1)^2/(x^3-x^2+2*x-1) egf] A052626 11.6899 [-(5*x-3)/(2*x-1)/(x-1) egf] A052626 13.1919 [-2*(2-6*x+5*x^2)/(x-1)/(5*x-3)/(-1+2*x) lgdegf] A052626 8.34996 [2*f(x)*x^2-3*f(x)*x+f(x)+5*x-3 egf] A052627 11.7166 [(x-1)/(x^2-x+1)/(x^3+x^2-1) egf] A052627 12.8597 [-x^4*(4*x-5)/(x-1)/(x^2-x+1)/(-1+x^2+x^3) lgdegf] A052627 4.5064 [-x^5-f(x)^3*x+f(x)^3+4*f(x)^2*x-4*f(x)^2-6*f(x)*x+6*f(x)+3*x-3 egf] A052628 10.1620 [(2+3*x^4+3*x^2-6*x^3)/(x-1)/(x+1)/(x^3-2*x^2+2*x-2) lgdegf] A052628 10.8213 [(x+1)*(x^3-2*x^2+2*x-2)/(x-1) egf] A052628 6.4664 [(23*f(x)+137)*(-x^4+x^3+f(x)*x-f(x)+2) egf] A052629 12.8439 [-(x-1)/(3*x^2-5*x+1) egf] A052629 16.6659 [-(4-6*x+3*x^2)/(x-1)/(3*x^2-5*x+1) lgdegf] A052629 6.49411 [-(7*f(x)+1)*(3*f(x)*x^2-5*f(x)*x+f(x)+x-1) egf] A052630 17.5144 [-1/(x^2+4*x-1) egf] A052630 28.3321 [-2*(x+2)/(x^2-1+4*x) lgdegf] A052630 4.01372 [{(n^2+5*n+6)*a(n+1)+(4*n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=34} ogf] A052630 6.79971 [-(9*f(x)-1)*(f(x)*x^2+4*f(x)*x-f(x)+1) egf] A052631 11.8306 [-f(x)*x^2-2*f(x)*x+f(x)-x egf] A052631 18.8650 [-x/(x^2+2*x-1) egf] A052631 20.2652 [1/2/x*(-1-2*x+(8*x^2+1+4*x)^(1/2)) revegf] A052631 34.4509 [-2*(x+1)/(x^2+2*x-1) lgdegf] A052631 4.95039 [{(n^2+5*n+6)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A052632 14.7222 [-(1+5*x^4)/(x^2-x+1)/(-1+x^2+x^3) lgdegf] A052632 15.0791 [-1/(x^2-x+1)/(x^3+x^2-1) egf] A052632 6.14334 [(f(x)-2)*(f(x)*x^5+f(x)*x-f(x)+1) egf] A052633 25.0552 [-(x-3)/(x-1)/(x^2-x-1) lgdegf] A052633 5.99146 [f(x)*(x^4+f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)) egf] A052633 9.13452 [-x^2*(x^2-x-1)/(x-1)^2 egf] A052634 14.5631 [1/(x-1)/(2*x^2-1) egf] A052634 17.0018 [-(-1-4*x+6*x^2)/(x-1)/(2*x^2-1) lgdegf] A052634 5.33497 [(15*f(x)+26)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-1) egf] A052635 12.6534 [(3*x-1)/(x^2+3*x-1) egf] A052635 18.6911 [-x*(3*x-2)/(3*x-1)/(x^2+3*x-1) lgdegf] A052635 9.03815 [f(x)*x^2+3*f(x)*x-f(x)-3*x+1 egf] A052636 4.23898 [-(f(x)-74)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+2*x^2+f(x)+x-2) egf] A052636 4.39037 [{-a(n+3)+a(n+2)+2*a(n+1)-2*a(n),a(0)=2,a(1)=1,a(2)=3} egf] A052636 8.06100 [-(2*x^2+x-2)/(x-1)/(2*x^2-1) egf] A052636 8.72625 [-(1+4*x+4*x^4-12*x^2+4*x^3)/(x-1)/(2*x^2-1)/(2*x^2+x-2) lgdegf] A052637 11.1881 [3*x*(x^2-x-1)/(x-1) egf] A052637 19.9715 [(2-2*x+x^2)/(x-1)/(x^2-x-1) lgdegf] A052637 6.85274 [(2*f(x)+63)*(-3*x^3+f(x)*x+3*x^2-f(x)+3*x) egf] A052638 10.7222 [x^2*(2*x+1)*(x-1)/(2*x-1) egf] A052638 15.6219 [(3-4*x+4*x^2)/(x-1)/(2*x+1)/(-1+2*x) lgdegf] A052638 6.1105 [-(4376*f(x)+3415)*(-2*x^4+x^3+2*f(x)*x+x^2-f(x)) egf] A052639 12.4975 [(2*x-1)/(x^3+2*x-1) egf] A052639 16.3676 [-x^2*(4*x-3)/(-1+2*x)/(-1+2*x+x^3) lgdegf] A052639 6.11291 [{-a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=0} egf] A052639 8.92679 [f(x)*x^3+2*f(x)*x-f(x)-2*x+1 egf] A052640 12.1120 [-(1+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2-2*x+1) lgdegf] A052640 4.66105 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} egf] A052640 4.83529 [(f(x)+1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x) egf] A052640 9.07677 [-x*(x-1)/(x^3-x^2-2*x+1) egf] A052641 12.9619 [-2*(1+x-2*x^2+x^3)/(x-1)/(x^3-x^2-3*x+1) lgdegf] A052641 4.73045 [{-a(n+3)+3*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7} egf] A052641 4.86065 [-(96*f(x)-11)*(f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)+x-1) egf] A052641 9.99642 [-(x-1)/(x^3-x^2-3*x+1) egf] A052642 17.8711 [(3-2*x+x^2)/(x-1)/(x-2)/(x+1) lgdegf] A052642 5.82504 [-(39*f(x)+341)*(-x^4+x^3+f(x)*x+2*x^2-f(x)) egf] A052642 9.89157 [x^2*(x+1)*(x-2)/(x-1) egf] A052643 19.2140 [2*(2-2*x+x^2)/(x-1)/(x^2-x-1) lgdegf] A052643 5.17445 [(f(x)+25)*(-x^4+f(x)*x^2+2*x^3-2*f(x)*x+x^2+f(x)-2*x-1) egf] A052643 8.24912 [(x^2-x-1)^2/(x-1)^2 egf] A052644 17.0574 [-(-5+3*x)/(x-1)/(3*x^2-3*x-1) lgdegf] A052644 5.3877 [(2*f(x)+23)*(f(x)*x^2-2*f(x)*x+3*x^2+f(x)-3*x-1) egf] A052644 9.55555 [-(3*x^2-3*x-1)/(x-1)^2 egf] A052645 19.1949 [(2-2*x+x^2)/(x-1)/(x^2-x-1) lgdegf] A052645 6.99004 [f(x)*(-2*x^4+2*x^3+f(x)*x+2*x^2-f(x)) egf] A052645 9.89157 [2*x^2*(x^2-x-1)/(x-1) egf] A052646 14.9774 [1/(x-1)/(x^2+x-1) egf] A052646 17.8775 [-(-2+3*x^2)/(x-1)/(x^2+x-1) lgdegf] A052646 5.25801 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=4} egf] A052646 5.81475 [-(f(x)-1)*(f(x)*x^3-2*f(x)*x+f(x)-1) egf] A052647 4.49613 [-(17*f(x)+23)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)+2*x-2) egf] A052647 4.69685 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=2,a(2)=5} egf] A052647 8.62372 [-(x^2+2*x-2)/(x-1)/(2*x-1)/(x+1) egf] A052647 9.02607 [-2*(1+x+x^4-6*x^2+4*x^3)/(x-1)/(-1+2*x)/(x+1)/(x^2+2*x-2) lgdegf] A052648 19.1107 [-5*x/(x-1) egf] A052648 68.1529 [-1/(x-1) lgdegf] A052648 7.01532 [{(-n-1)*a(n)+a(n+1),a(0)=0,a(1)=5} ogf] A052648 77.8890 [x/(5+x) revegf] A052648 9.3934 [-f(x)*(f(x)*x-f(x)+5*x) egf] A052649 20.1400 [-(-5+x)/(x-1)/(x-2)/(x+1) lgdegf] A052649 5.48167 [(4*f(x)+17)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-x-2) egf] A052649 9.72221 [-(x+1)*(x-2)/(x-1)^2 egf] A052650 14.9987 [-1/(2*x-1)/(x-1)^2 egf] A052650 21.7356 [-2*(3*x-2)/(-1+2*x)/(x-1) lgdegf] A052650 3.80103 [{(2*n^2+12*n+16)*a(n+1)+(-3*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=22} ogf] A052650 5.38788 [(321*f(x)-236)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+1) egf] A052651 10.3669 [-x^2*(4*x^3-8*x^2+3+2*x)/(x-1)/(x^5-x^4-x^3-x+1) lgdegf] A052651 8.25408 [-(x-1)/(x^5-x^4-x^3-x+1) egf] A052652 11.8432 [x^4+2*f(x)*x-f(x) egf] A052652 18.3774 [-x^4/(2*x-1) egf] A052652 4.40450 [{(-2*n-4)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052652 48.4494 [-2/(-1+2*x) lgdegf] A052653 10.3817 [(2*x^2-1)/(x+1)/(2*x-1) egf] A052653 14.2041 [(1+2*x^2)/(-1+2*x)/(x+1)/(-1+2*x^2) lgdegf] A052653 3.79631 [{(2*n^2+6*n+4)*a(n)+(n+2)*a(n+1)-a(n+2),a(0)=1,a(1)=1,a(2)=2} ogf] A052653 5.71579 [(f(x)-1)*(2*f(x)*x^2+f(x)*x-2*x^2-f(x)+1) egf] A052654 17.5144 [1/(4*x-1)/(x-1) egf] A052654 25.7565 [-(8*x-5)/(4*x-1)/(x-1) lgdegf] A052654 3.95873 [{(4*n^2+20*n+24)*a(n+1)+(-5*n-15)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=42} ogf] A052654 7.04848 [(17*f(x)+8)*(4*f(x)*x^2-5*f(x)*x+f(x)-1) egf] A052655 13.7804 [(-3+3*x-3*x^2+x^3)/(x-1)/(x^3-2*x^2+x+1) lgdegf] A052655 3.02812 [{(-9*n^3-27*n^2+36)*a(n+1)+(n^3+16*n^2+15*n)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A052655 5.28492 [(2*f(x)+19)*(-x^4+f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)-x) egf] A052655 8.61849 [x*(x^3-2*x^2+x+1)/(x-1)^2 egf] A052656 10.3228 [x*(4*x^2-2*x-1)/(2*x-1) egf] A052656 13.0827 [4*(1-2*x+2*x^2)/(-1+2*x)/(4*x^2-2*x-1) lgdegf] A052656 6.32269 [(4*f(x)+21)*(-4*x^3+2*f(x)*x+2*x^2-f(x)+x) egf] A052657 13.2981 [x^2/(x+1)/(x-1)^2 egf] A052657 26.9616 [-(3*x+1)/(x-1)/(x+1) lgdegf] A052657 3.28448 [{(n^3+7*n^2+16*n+12)*a(n+1)+(n+3)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A052657 9.63874 [f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x) egf] A052658 13.0789 [-(1+x+2*x^2)/(x-1)/(x+1)/(x^3-x^2-2*x+1) lgdegf] A052658 4.05089 [{-a(n+4)+2*a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5} egf] A052658 4.34731 [-(-1+2*f(x))*(f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+x-1) egf] A052658 7.74954 [(x+1)*(x-1)^2/(x^3-x^2-2*x+1) egf] A052659 12.7494 [-(-1+2*x^2)/(-1+2*x)/(x-1)/(2*x^2-4*x+1) lgdegf] A052659 5.11089 [{-a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=4} egf] A052659 7.34241 [-2*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-3*x+1 egf] A052659 9.83606 [(2*x-1)*(x-1)/(2*x^2-4*x+1) egf] A052660 5.16577 [{a(n+3)-2*a(n+2)+a(n),a(0)=2,a(1)=2,a(2)=3} egf] A052660 6.83919 [-f(x)*x^3+2*f(x)*x-x^2-f(x)-2*x+2 egf] A052660 9.11578 [-(2-2*x+x^4-4*x^2+4*x^3)/(x-1)/(x^2+2*x-2)/(x^2+x-1) lgdegf] A052660 9.16192 [-(x^2+2*x-2)/(x-1)/(x^2+x-1) egf] A052661 11.7778 [-(3*x-2)/(x-1)/(x^2+x-1) egf] A052661 12.9555 [-(1-6*x^2+6*x^3)/(3*x-2)/(x-1)/(x^2+x-1) lgdegf] A052661 5.63829 [{-a(n+3)+2*a(n+2)-a(n),a(0)=2,a(1)=1,a(2)=2} egf] A052661 6.16278 [(f(x)-14)*(f(x)*x^3-2*f(x)*x+f(x)+3*x-2) egf] A052662 13.1512 [-(2+x^4-x^2)/(x-1)/(x+1)/(x^3-x^2-2*x+1) lgdegf] A052662 4.80008 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4} egf] A052662 5.02438 [(9*f(x)-1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-1) egf] A052662 9.43174 [-(x-1)*(x+1)/(x^3-x^2-2*x+1) egf] A052663 10.7420 [x^4*(x^2-x-1)/(x-1) egf] A052663 21.0861 [(2-2*x+x^2)/(x-1)/(x^2-x-1) lgdegf] A052664 10.7435 [-(x-1)/(3*x^3-3*x^2-2*x+1) egf] A052664 11.8690 [-(1+6*x-12*x^2+6*x^3)/(x-1)/(3*x^3-3*x^2-2*x+1) lgdegf] A052664 5.08396 [{-a(n+3)+2*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=5} egf] A052664 5.22388 [-(109*f(x)+6)*(3*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)+x-1) egf] A052665 13.5925 [x^2/(2*x-1)/(x-1) egf] A052665 21.6149 [-(4*x-3)/(-1+2*x)/(x-1) lgdegf] A052665 3.81003 [{(2*n^2+6*n+4)*a(n)+(-3*n-6)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052665 6.53149 [f(x)*(2*f(x)*x^2-3*f(x)*x-x^2+f(x)) egf] A052666 16.2912 [-1/(3*x^2+x-1) egf] A052666 26.3024 [-(6*x+1)/(3*x^2-1+x) lgdegf] A052666 3.73340 [{(-3*n^2-15*n-18)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=8} ogf] A052666 6.47722 [(19*f(x)-18)*(3*f(x)*x^2+f(x)*x-f(x)+1) egf] A052667 15.9408 [-1/(x^4+2*x-1) egf] A052667 20.5794 [-2*(1+2*x^3)/(-1+2*x+x^4) lgdegf] A052667 6.1888 [-(f(x)-1)*(f(x)*x^4+2*f(x)*x-f(x)+1) egf] A052668 15.9690 [-1/(x^3+3*x-1) egf] A052668 22.4193 [-3*(1+x^2)/(-1+3*x+x^3) lgdegf] A052668 5.60614 [{-a(n+3)+3*a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=9} egf] A052668 6.5059 [(f(x)-1)*(f(x)*x^3+3*f(x)*x-f(x)+1) egf] A052669 11.1252 [-(2*x-1)/(2*x^3-x^2-3*x+1) egf] A052669 12.2994 [-(1+2*x-8*x^2+8*x^3)/(-1+2*x)/(2*x^3-x^2-3*x+1) lgdegf] A052669 5.26460 [{-a(n+3)+3*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} egf] A052669 5.36033 [-(129*f(x)-44)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)+2*x-1) egf] A052670 11.3958 [4*f(x)*x+x^2-f(x) egf] A052670 17.6831 [-x^2/(4*x-1) egf] A052670 5.23277 [{(-4*n-8)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052670 50.7145 [-4/(4*x-1) lgdegf] A052671 11.9086 [x^3*(x-1)/(2*x-1) egf] A052671 3.24781 [{(-8*n^2+32)*a(n+1)+(2*n^2+10*n-8)*a(n+2)-n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052671 33.3090 [1/(-1+2*x)/(x-1) lgdegf] A052671 7.54772 [-f(x)*(-x^4+x^3+2*f(x)*x-f(x)) egf] A052672 10.3889 [-(x-1)/(x^3-2*x^2-x+1) egf] A052672 14.2573 [-x*(4-5*x+2*x^2)/(x-1)/(x^3-2*x^2-x+1) lgdegf] A052672 5.00555 [-(81*f(x)-145)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)+x-1) egf] A052673 14.1651 [3*x/(x-1)^2 egf] A052673 20.6111 [12*x/(3+(12*x+9)^(1/2))^2 revegf] A052673 4.72171 [{(-n^2-4*n-4)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=3} ogf] A052673 64.4096 [-2/(x-1) lgdegf] A052673 8.88322 [-f(x)*x^2+2*f(x)*x-f(x)+3*x egf] A052674 10.1033 [-(x-1)/(x+1)/(2*x^2-4*x+1) egf] A052674 10.9197 [-2*(1+2*x-4*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2-4*x+1) lgdegf] A052674 4.78104 [{-a(n+3)+3*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=8} egf] A052674 4.95812 [-(22*f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+f(x)+x-1) egf] A052675 11.46 [-5*f(x)*x+f(x)+x-1 egf] A052675 13.9379 [(x-1)/(5*x-1) egf] A052675 3.58126 [{(5*n^2+5*n)*a(n)+(-5*n^2-21*n-20)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=4} ogf] A052675 33.6408 [4/(5*x-1)/(x-1) lgdegf] A052676 11.6275 [-f(x)*(2*f(x)*x-f(x)+3*x) egf] A052676 18.1396 [-3*x/(2*x-1) egf] A052676 47.0342 [-2/(-1+2*x) lgdegf] A052676 57.4862 [x/(3+2*x) revegf] A052676 6.65882 [{(-2*n-2)*a(n)+a(n+1),a(0)=0,a(1)=3} ogf] A052677 12.3402 [-(x-1)/(x^2-4*x+1) egf] A052677 18.1325 [-(3-2*x+x^2)/(x-1)/(x^2-4*x+1) lgdegf] A052677 6.17011 [-(10*f(x)-1)*(f(x)*x^2-4*f(x)*x+f(x)+x-1) egf] A052678 11.6899 [x^3+3*f(x)*x-f(x) egf] A052678 18.1396 [-x^3/(3*x-1) egf] A052678 4.82612 [{(-3*n-6)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052678 52.3157 [-3/(3*x-1) lgdegf] A052679 10.0611 [(x-1)*(x+1)/(x^3+x^2-1) egf] A052679 14.7290 [-x^2*(x^2-3)/(x-1)/(x+1)/(x^3+x^2-1) lgdegf] A052679 5.79609 [{-a(n+3)+a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=0} egf] A052679 7.95881 [f(x)*x^3+f(x)*x^2-x^2-f(x)+1 egf] A052680 11.8995 [-(2*x-1)/(2*x^2-4*x+1) egf] A052680 13.4396 [-2*(1-2*x+2*x^2)/(-1+2*x)/(2*x^2-4*x+1) lgdegf] A052680 6.0166 [-(7*f(x)-3)*(2*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) egf] A052681 10.5653 [-x*(2+6*x^3+5*x-12*x^2)/(x-1)/(2*x^4-2*x^3-x^2-x+1) lgdegf] A052681 4.31233 [-(215*f(x)-6)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1) egf] A052681 8.97813 [-(x-1)/(2*x^4-2*x^3-x^2-x+1) egf] A052682 11.8184 [(x-1)/(3*x^2+x-1) egf] A052682 18.6842 [-3*x*(x-2)/(x-1)/(3*x^2-1+x) lgdegf] A052682 8.44172 [3*f(x)*x^2+f(x)*x-f(x)-x+1 egf] A052683 11.4504 [2*x^4+f(x)*x-f(x) egf] A052683 17.7678 [-2*x^4/(x-1) egf] A052683 4.25840 [{(-n-2)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=48} ogf] A052683 64.4082 [-1/(x-1) lgdegf] A052684 14.3243 [-1/(x+1)/(x^2+x-1) egf] A052684 20.0448 [-x*(4+3*x)/(x+1)/(x^2+x-1) lgdegf] A052684 3.06358 [{(n^3+9*n^2+26*n+24)*a(n+1)+(2*n^2+14*n+24)*a(n+2)-a(n+4),a(0)=1,a(1)=0,a(2)=4,a(3)=6} ogf] A052684 6.38553 [(33*f(x)+31)*(f(x)*x^3+2*f(x)*x^2-f(x)+1) egf] A052685 4.58293 [-(5*f(x)-1)*(f(x)*x^4-2*f(x)*x^2-f(x)*x+x^2+f(x)-1) egf] A052685 8.92465 [-(x-1)*(x+1)/(x^4-2*x^2-x+1) egf] A052685 9.56045 [-(1+2*x+2*x^5+x^2-4*x^3)/(x-1)/(x+1)/(x^4-2*x^2-x+1) lgdegf] A052686 10.9143 [x^2*(3*x^2-3*x-1)/(x-1) egf] A052686 17.3445 [(4-6*x+3*x^2)/(x-1)/(3*x^2-3*x-1) lgdegf] A052686 7.71279 [f(x)*(-3*x^4+3*x^3+f(x)*x+x^2-f(x)) egf] A052687 13.9801 [-(-2-4*x+x^2+x^3)/(x-1)/(x+1)/(x^3-x-1) lgdegf] A052687 4.8035 [-(5*f(x)+28)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x+f(x)-x-1) egf] A052687 9.13452 [-(x^3-x-1)/(x+1)/(x-1)^2 egf] A052688 12.1161 [x/(x^2+x+1)/(x-1)^2 egf] A052688 19.1513 [-(1+x+4*x^2)/(x-1)/(x^2+x+1) lgdegf] A052688 5.50731 [(f(x)+1)*(f(x)*x^4-f(x)*x^3-f(x)*x+f(x)-x) egf] A052689 13.9801 [-(-2-2*x-x^2+x^3)/(x-1)/(x+1)/(x^2-x-1) lgdegf] A052689 6.15521 [-(f(x)+3)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-x-1) egf] A052689 9.13452 [-(x^2-x-1)/(x+1)/(x-1)^2 egf] A052690 11.6794 [x*(3*x^2-x-1)/(3*x-1) egf] A052690 17.0795 [(4-6*x+9*x^2)/(3*x-1)/(3*x^2-x-1) lgdegf] A052690 6.8951 [(234*f(x)+217)*(-3*x^3+3*f(x)*x+x^2-f(x)+x) egf] A052691 10.3889 [(x-1)/(x^3-x^2+2*x-1) egf] A052691 12.5310 [-(-1+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2+2*x-1) lgdegf] A052691 4.91616 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} egf] A052691 5.14589 [-(f(x)-1)*(f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+1) egf] A052692 10.2154 [(x-1)*(x+1)*(x^2+1)/(x^4+x-1) egf] A052692 12.5327 [(1+3*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x-1) lgdegf] A052692 5.62421 [(f(x)-1)*(f(x)*x^4-x^4+f(x)*x-f(x)+1) egf] A052693 11.4588 [-(x-1)/(x^3-3*x+1) egf] A052693 14.8327 [-(2-3*x^2+2*x^3)/(x-1)/(x^3-3*x+1) lgdegf] A052693 5.48557 [{-a(n+3)+3*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=6} egf] A052693 5.99587 [(29*f(x)-5)*(f(x)*x^3-3*f(x)*x+f(x)+x-1) egf] A052694 10.6767 [(x-1)*(2*x^3+x^2+x+1)/(2*x-1) egf] A052694 6.15479 [(3064*f(x)+3473)*(-2*x^4+x^3+2*f(x)*x-f(x)+1) egf] A052694 9.47399 [(2+12*x^4+3*x^2-12*x^3)/(-1+2*x)/(x-1)/(2*x^3+x^2+x+1) lgdegf] A052695 12.5920 [-(5*x-2)/(4*x-1)/(x-1) egf] A052695 14.6134 [-(5-16*x+20*x^2)/(x-1)/(4*x-1)/(5*x-2) lgdegf] A052695 6.36677 [-(9*f(x)+7)*(4*f(x)*x^2-5*f(x)*x+f(x)+5*x-2) egf] A052696 11.9258 [-(-2+2*x-3*x^2+x^3)/(x-1)/(x^3-3*x^2+4*x-1) lgdegf] A052696 4.67986 [{-a(n+3)+4*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6} egf] A052696 4.72202 [(3*f(x)-1)*(f(x)*x^3-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) egf] A052696 8.59252 [-(x-1)^2/(x^3-3*x^2+4*x-1) egf] A052697 14.1690 [-1/(x^4+x^3-1) egf] A052697 20.8503 [-x^2*(4*x+3)/(-1+x^3+x^4) lgdegf] A052697 6.47226 [(7*f(x)-6)*(f(x)*x^4+f(x)*x^3-f(x)+1) egf] A052698 16.4338 [-1/6*(-1-4*x+(1+8*x+4*x^2)^(1/2))/x revegf] A052698 17.6926 [x/(3*x-1)/(x-1) egf] A052698 23.9660 [-2*(3*x-2)/(3*x-1)/(x-1) lgdegf] A052698 4.05455 [{(-3*n^2-15*n-18)*a(n+1)+(4*n+12)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A052698 9.89585 [-3*f(x)*x^2+4*f(x)*x-f(x)+x egf] A052699 11.8674 [(x^6-x^5-1)/(x-1) egf] A052699 14.2331 [(1+5*x^6-10*x^5+5*x^4)/(x-1)/(x^6-x^5-1) lgdegf] A052700 13.8879 [x*(x-1)/(3*x-1) egf] A052700 16.9919 [1/2+3/2*x-1/2*(1+2*x+9*x^2)^(1/2) revegf] A052700 3.47197 [{(-6*n^2-12*n)*a(n+1)+(3*n^2+17*n+18)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A052700 37.3821 [2/(3*x-1)/(x-1) lgdegf] A052700 8.49856 [-f(x)*(3*f(x)*x-x^2-f(x)+x) egf] A052701 15.9565 [x-f(x)+2*f(x)^2 ogf] A052701 17.6096 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdogf] A052701 58.1116 [-x*(2*x-1) revogf] A052701 6.21462 [{(-8*n+4)*a(n)+(n+1)*a(n+1),a(0)=0,a(1)=1} ogf] A052702 9.21441 [f(x)^2*x^2+2*f(x)*x^3+x^4-f(x)*x^2+2*f(x)*x-f(x) ogf] A052703 3.63108 [f(x)^3+3*f(x)^2*x+3*f(x)*x^2+x^3+4*f(x)^2+3*f(x)*x-f(x) ogf] A052704 13.6260 [8/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdogf] A052704 21.2196 [x-f(x)+4*f(x)^2 ogf] A052704 43.3556 [-x*(-1+4*x) revogf] A052704 5.05815 [{(-16*n+8)*a(n)+(n+1)*a(n+1),a(0)=0,a(1)=1} ogf] A052705 5.29833 [-f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x^2-f(x)^2-2*f(x)*x-x^2+f(x) ogf] A052706 5.67199 [-f(x)^3+3*f(x)^2+2*f(x)*x+x^2-f(x) ogf] A052707 15.2793 [2*x-f(x)+2*f(x)^2 ogf] A052707 15.9000 [8/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdogf] A052707 39.7499 [-1/2*x*(2*x-1) revogf] A052707 5.88888 [{(-16*n+8)*a(n)+(n+1)*a(n+1),a(0)=0,a(1)=2} ogf] A052709 11.0612 [-f(x)^2*x-f(x)^2+f(x)-x ogf] A052709 3.64292 [{4*a(n)*n+(8*n+6)*a(n+1)+(3*n+3)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A052709 37.4195 [-x*(x-1)/(1+x^2) revogf] A052711 15.7657 [4/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052711 3.09560 [{(-16*n^2+24*n-8)*a(n+1)+(-4*n^2-2*n-2)*a(n+2)+n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052711 7.80832 [x^4+2*f(x)*x^2+f(x)^2-f(x)*x egf] A052712 18.2351 [-1/2+2*x+1/2*(1-4*x)^(1/2) revegf] A052712 2.94165 [{(-16*n^2-8*n)*a(n+1)+(8*n^2+30*n+24)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A052712 7.65763 [4*f(x)^2-4*f(x)*x+x^2-f(x)+x egf] A052713 13.7131 [2*x-f(x)+f(x)^2 egf] A052713 15.1232 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdegf] A052713 41.5889 [-1/2*x*(x-1) revegf] A052713 6.42258 [{(-8*n+4)*a(n)+a(n+1),a(0)=0,a(1)=2} ogf] A052714 14.4511 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdegf] A052714 17.8891 [x-f(x)+2*f(x)^2 egf] A052714 43.3532 [-x*(-1+2*x) revegf] A052714 6.14181 [{(-8*n+4)*a(n)+a(n+1),a(0)=0,a(1)=1} ogf] A052715 15.9408 [8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052715 3.62791 [{(-4*n^2+6*n-2)*a(n+1)+(-2+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052715 6.83179 [x^4-2*f(x)*x^2+f(x)^2+4*f(x)*x-f(x) egf] A052716 10.9787 [-1/2*(x-1+(x^2-6*x+1)^(1/2))/x/(x^2-6*x+1)^(1/2) lgdegf] A052716 40.5367 [x*(x-1)/(x-2) revegf] A052716 9.73595 [-f(x)^2+f(x)*x+f(x)-2*x egf] A052717 10.7357 [x^3-f(x)*x+f(x)^2 egf] A052717 15.7657 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052717 3.26737 [{(-12*n^2+6*n)*a(n+1)+(-4*n^2-7*n-3)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A052718 3.49327 [{(-8*n^2-4*n)*a(n+1)+(-4*n^2-12*n-12)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A052718 31.1518 [-1-x+(1+4*x)^(1/2) revegf] A052718 9.03815 [-f(x)^2-2*f(x)*x-x^2+2*f(x)-2*x egf] A052719 16.2912 [6/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052719 4.18991 [{(-4*n^2+2*n)*a(n+1)+(-1+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052719 9.16101 [x^3+f(x)^2+3*f(x)*x-f(x) egf] A052720 16.9738 [12/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052720 3.36012 [{(-4*n^2+14*n-12)*a(n+1)+(-4+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=720} ogf] A052720 6.01285 [x^6+2*f(x)*x^3-9*f(x)*x^2+f(x)^2+6*f(x)*x-f(x) egf] A052721 17.7559 [8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052721 3.33142 [{(4*n^3-6*n^2-16*n+24)*a(n+1)+(-n^2+2*n+3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=120} ogf] A052722 17.4934 [10/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052722 3.74577 [{(-4*n^2+10*n-6)*a(n+1)+(-3+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=120} ogf] A052722 7.68613 [x^5-5*f(x)*x^2+f(x)^2+5*f(x)*x-f(x) egf] A052723 8.50616 [f(x)^2*x+f(x)*x+x^2-f(x) egf] A052724 5.35353 [f(x)^2*x^2+2*f(x)*x^3+x^4-f(x)*x^2+2*f(x)*x-f(x) egf] A052726 10.6681 [-f(x)^2*x-f(x)^2+f(x)-x egf] A052726 3.51344 [{4*a(n)*n+(8*n+6)*a(n+1)+(3*n+3)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=1,a(2)=1} egf] A052726 36.1296 [-x*(x-1)/(1+x^2) revegf] A052727 13.103 [-x^2-x+f(x)-f(x)^2 egf] A052727 2.90461 [{(8*n^3-8*n)*a(n)+(4*n^3+24*n^2+20*n)*a(n+1)+(4*n^2+12*n+12)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A052727 20.7487 [-1/2+1/2*(1+4*x-4*x^2)^(1/2) revegf] A052728 5.14128 [-f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x^2-f(x)^2-2*f(x)*x-x^2+f(x) egf] A052729 2.91416 [{(-216*n^3+81*n^2+87*n-30)*a(n)+(-176*n^2-22*n+48)*a(n+1)+(40*n-15)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052729 6.98601 [-f(x)^3+3*f(x)^2+2*f(x)*x+x^2-f(x) egf] A052730 2.93484 [{(-108*n^3-243*n^2-159*n-30)*a(n+1)+(-88*n^2-154*n-58)*a(n+2)+(20*n+5)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052730 5.2504 [f(x)^3+3*f(x)^2*x+3*f(x)*x^2+x^3+4*f(x)^2+3*f(x)*x-f(x) egf] A052731 3.02152 [{(-3*n^4-6*n^3+3*n^2+6*n)*a(n)+(-2*n^3-5*n^2-2*n)*a(n+1)+(n^2+2*n-3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052731 7.12482 [f(x)^2*x+f(x)*x^2+x^3+2*f(x)*x-f(x) egf] A052732 17.6666 [4/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052732 4.22463 [{(4*n^2+2*n-12)*a(n+1)-a(n+2)*n,a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052733 17.6666 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052733 4.65035 [{(4*n^2+2*n-12)*a(n+1)-a(n+2)*n,a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052734 11.3361 [{(-16*n+8)*a(n)+a(n+1),a(0)=0,a(1)=1} ogf] A052734 24.5105 [x-f(x)+4*f(x)^2 egf] A052734 25.6587 [8/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdegf] A052734 81.6413 [-x*(-1+4*x) revegf] A052735 4.53168 [{(3*n^2-3)*a(n)+(2*n+1)*a(n+1)-a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052735 9.83143 [f(x)^2+f(x)*x+x^2-f(x) egf] A052736 10.5434 [f(x)*x^2-f(x)^2-4*f(x)*x-x^2+f(x) egf] A052736 17.9078 [-(-x-1+(x^2-6*x+1)^(1/2))/x/(x^2-6*x+1)^(1/2) lgdegf] A052736 5.44861 [{(2*n^3-n^2-5*n-2)*a(n)-12*a(n+1)*n^2+(2*n-1)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052737 11.6119 [8/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdegf] A052737 18.6073 [2*x-f(x)+2*f(x)^2 egf] A052737 27.0943 [-1/2*x*(-1+2*x) revegf] A052737 8.60588 [{(-16*n+8)*a(n)+a(n+1),a(0)=0,a(1)=2} ogf] A052739 6.30909 [x^4+2*f(x)*x^2+2*x^3+f(x)^2+2*f(x)*x+x^2-f(x) egf] A052740 12.4412 [-a(n+5),a(0)=0,a(1)=1,a(2)=-1,a(3)=0,a(4)=-1 revegf] A052741 15.6781 [6/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A052741 7.72204 [x^5+3*f(x)*x^2+f(x)^2-f(x)*x egf] A052742 11.8041 [-f(x)*x^2-x^3-f(x)^2+f(x)*x egf] A052742 16.0180 [-1/2*(-x-1+(x^2-6*x+1)^(1/2))/x/(x^2-6*x+1)^(1/2) lgdegf] A052742 3.43858 [{(-3*n^3-3*n^2+6*n)*a(n+1)+(-n^3+12*n^2+n)*a(n+2)+(6*n^2+24*n+24)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=12} ogf] A052743 14.2573 [1/2/x^2*(-x-1+(x^2+1+2*x+4*x^3)^(1/2)) revegf] A052743 9.33237 [-f(x)^2*x^2-f(x)*x+f(x)-x egf] A052744 4.51471 [-f(x)^2*x^2-2*f(x)*x^3-x^4-2*f(x)^2*x-2*f(x)*x^2-f(x)^2+f(x)*x egf] A052745 4.26201 [{a(n+1)*n^2+(-2*n^2-3*n-1)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} egf] A052746 14.0895 [(n+1)*a(n+2)+2*a(n+1),a(0)=0,a(1)=1 revegf] A052747 4.21362 [{(n^2+n-2)*a(n+1)-a(n+2)*n,a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052749 14.2480 [-2*(-6+19*x-18*x^2+4*x^3)/(x-1)/(-1+2*x)/(2*x^2-6*x+3) lgdogf] A052749 4.15516 [{(2*n^2+10*n+12)*a(n+1)+(-3*n^2-12*n-9)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052749 5.85499 [f(x)*(4*f(x)*x^4-4*x^5-12*f(x)*x^3+12*x^4+13*f(x)*x^2-6*x^3-6*f(x)*x+f(x)) ogf] A052749 9.66075 [2*x^3*(2*x^2-6*x+3)/(2*x-1)^2/(x-1)^2 ogf] A052759 5.31929 [{(n^2-4)*a(n+1)+(-n+1)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052760 3.94107 [{(-2*n^2-10*n-12)*a(n+1)+(3*n^2+9*n)*a(n+2)+(-n^2-n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052760 6.25935 [4*x^4*(4*x^4-18*x^3+33*x^2-24*x+6)/(2*x-1)^3/(x-1)^3 ogf] A052760 8.66120 [-(-30+150*x+16*x^5-96*x^4-285*x^2+248*x^3)/(x-1)/(-1+2*x)/(4*x^4-18*x^3+33*x^2-24*x+6) lgdogf] A052761 6.19391 [-12*x^4*(3*x-2)*(x^2-3*x+1)/(2*x-1)^2/(3*x-1)^2/(x-1)^2 ogf] A052762 10.8883 [-24*x^4/(x-1)^5 ogf] A052762 5.08649 [{(-2+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052762 5.80707 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+24*x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A052762 87.1061 [-5/(x-1) lgdogf] A052764 12.0764 [(n+1)*a(n+2)+4*a(n+1),a(0)=0,a(1)=1 revegf] A052768 11.7507 [-(15-20*x+x^4+15*x^2-6*x^3)/(x-1)/(x^4-5*x^3+10*x^2-10*x+5) lgdogf] A052768 4.62911 [{(n+2)*a(n+1)+(-n+2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=120} ogf] A052768 6.15838 [-24*x^5*(x^4-5*x^3+10*x^2-10*x+5)/(x-1)^5 ogf] A052771 11.7709 [6*x^3/(2*x-1)^4 ogf] A052771 5.27334 [{(-1+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052771 59.6247 [-8/(-1+2*x) lgdogf] A052771 7.46087 [-16*f(x)*x^4+32*f(x)*x^3-24*f(x)*x^2+6*x^3+8*f(x)*x-f(x) ogf] A052776 3.06404 [24*x^5*(24*x^4-100*x^3+105*x^2-40*x+5)/(x-1)^2/(3*x-1)^2/(2*x-1)^2/(4*x-1)^2 ogf] A052777 3.98247 [-12*x^5*(36*x^6-198*x^5+471*x^4-540*x^3+315*x^2-90*x+10)/(2*x-1)^3/(3*x-1)^3/(x-1)^3 ogf] A052778 3.33539 [{(n^2-n-6)*a(n+1)+(-n+2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=120} ogf] A052780 10.9730 [-2*x^2/(4*x-1)^3 ogf] A052780 4.66108 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A052780 47.3284 [-12/(4*x-1) lgdogf] A052780 6.27027 [64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+2*x^2-f(x) ogf] A052787 4.67526 [{(-3+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=120} ogf] A052787 87.5099 [-6/(x-1) lgdogf] A052787 9.41370 [120*x^5/(x-1)^6 ogf] A052789 12.8083 [(n+1)*a(n+2)+5*a(n+1),a(0)=0,a(1)=1 revegf] A052791 14.1494 [6*x^3/(3*x-1)^4 ogf] A052791 6.56531 [{(-1+n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A052791 7.89099 [-81*f(x)*x^4+108*f(x)*x^3-54*f(x)*x^2+6*x^3+12*f(x)*x-f(x) ogf] A052791 74.3062 [-12/(3*x-1) lgdogf] A052794 3.06264 [{(n^2-2*n-8)*a(n+1)+(-n+3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=720} ogf] A052796 10.5762 [-24*x^4/(2*x-1)^5 ogf] A052796 5.17231 [{(-2+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A052796 5.76102 [32*f(x)*x^5-80*f(x)*x^4+80*f(x)*x^3+24*x^4-40*f(x)*x^2+10*f(x)*x-f(x) ogf] A052796 59.0505 [-10/(-1+2*x) lgdogf] A052800 4.52361 [{(n+2)*a(n+1)+(-n+3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=720} ogf] A052800 5.28305 [-120*x^6*(x-2)*(x^2-x+1)*(x^2-3*x+3)/(x-1)^6 ogf] A052800 6.46700 [1/30*(-45045+4725*x-x^4-945*x^2+120*x^3+(25410*x^6+3711015*x^4+156080925*x^2+x^8+2029052025)^(1/2))/x/(8*x^2+315) lgdegf] A052805 9.93394 [1/2*I*((4*x-1)^(1/2)-(4*x^2-1)^(1/2))/x ogf_with_Euler_transform] A052812 14.4075 [-(-2*x^2-x)/(x^4-2*x^2+1) ogf_with_Euler_transform] A052816 14.6970 [-(x^3-x^2-x+2)/(x^2-1) ogf_with_Euler_transform] A052819 12.5668 [n*a(n+1)+(-1-n)*a(n+2),a(0)=0,a(1)=1,a(2)=-1 revegf] A052832 5.13027 [{a(n)*n+(-2*n-4)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=1} egf] A052840 3.33090 [{(2*n^3+4*n^2-2*n-4)*a(n)+(-3*n^2-6*n)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052842 28.1747 [(x-1)*(-1+exp(-x)) revegf] A052844 14.2315 [(-2+2*x-x^2)*f(x)+(1-2*x+x^2)*f(x)^2 lgdegf] A052845 15.7490 [(-x^2+2*x)*f(x)+(-1+2*x-x^2)*f(x)^2 lgdegf] A052847 23.0915 [x/(x^2-2*x+1) ogf_with_Euler_transform] A052849 12.8077 [-f(x)*(f(x)*x-f(x)+2*x) egf] A052849 20.5768 [-2*x/(x-1) egf] A052849 7.55349 [{(-n-1)*a(n)+a(n+1),a(0)=0,a(1)=2} ogf] A052849 73.4490 [-1/(x-1) lgdegf] A052849 83.9418 [x/(x+2) revegf] A052850 3.26695 [{(-18*n^3-36*n^2-18*n)*a(n)+(4*n^3+51*n^2+92*n+45)*a(n+1)+(-6*n^2-35*n-34)*a(n+2)+(4+2*n)*a(n+3),a(0)=0,a(1)=2,a(2)=5} ogf] A052851 47.1110 [1-exp(x*(x-1)) revegf] A052852 37.4365 [-(x-2)/(x-1)^2 lgdegf] A052852 4.55508 [{(n^2+2*n)*a(n)+(-2*n-4)*a(n+1)+a(n+2),a(0)=0,a(1)=1} ogf] A052854 18.8554 [2/(1+(1-4*x)^(1/2)) ogf_with_Euler_transform] A052857 9.42924 [(-2-n)*a(n+3)+(1+2*n)*a(n+2)-n*a(n+1),a(0)=0,a(1)=1,a(2)=-1 revegf] A052859 29.4838 [2*exp(2*x)-2*exp(x) lgdegf] A052861 2.92519 [{-2*a(n)*n+(5*n+3)*a(n+1)+(-4*n-5)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=1} egf] A052866 4.27714 [{-a(n)*n+(3*n+4)*a(n+1)+(-3*n-7)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=5/2} egf] A052867 4.25563 [{(2*n^2+2*n)*a(n)+(-3*n-3)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052874 3.17503 [{-a(n)*n+(3*n+3)*a(n+1)+(-3*n-5)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=1} egf] A052881 3.35148 [{(n^3+3*n^2+2*n)*a(n)+(-2*n^2-5*n-2)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A052885 9.10675 [(n+2)*a(n+3)+(n+3)*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=-2 revegf] A052886 7.99924 [-2*n^2*a(n)+(5*n+2+3*n^2)*a(n+1)+(-4+n^2)*a(n+2)+(-5*n-6-n^2)*a(n+3),a(0)=0,a(1)=1,a(2)=-3/2 revegf] A052887 28.6207 [2*x+(-1+3*x-3*x^2+x^3)*f(x) lgdegf] A052887 4.36890 [{(n^3+3*n^2+2*n)*a(n)+(-3*n^2-7*n-2)*a(n+1)+(3*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A052888 36.6114 [exp(-x)*ln(x+1) revegf] A052889 13.1929 [(-n-2)*a(n+2)+a(n+1),a(0)=1,a(1)=1 lgdegf] A052892 48.1626 [-ln(x+1)*(x-1) revegf] A052897 24.9485 [2+(-1+2*x-x^2)*f(x) lgdegf] A052897 4.11510 [{(n^2+n)*a(n)+(-2*n-4)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A052898 3.19424 [{(n^2+4*n+4)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+1)*a(n+3),a(0)=3,a(1)=3,a(2)=5} ogf] A052899 12.2332 [-(2*x-1)/(x-1)/(4*x^2+2*x-1) ogf] A052899 12.4574 [-(1+4*x-16*x^2+16*x^3)/(x-1)/(-1+2*x)/(4*x^2+2*x-1) lgdogf] A052899 5.78895 [{-a(n+3)+3*a(n+2)+2*a(n+1)-4*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A052899 6.00334 [-(25*f(x)-4)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A052900 11.0611 [3*f(x)*x^3+f(x)*x-f(x)-x+1 ogf] A052900 15.4855 [(x-1)/(3*x^3+x-1) ogf] A052900 20.9011 [-3*x^2*(-3+2*x)/(x-1)/(3*x^3+x-1) lgdogf] A052900 7.57445 [{-a(n+3)+a(n+2)+3*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A052901 13.0433 [{-a(n+3)+a(n),a(0)=3,a(1)=2,a(2)=2} ogf] A052901 13.2172 [(2*f(x)-3)*(f(x)*x^3+2*x^2-f(x)+2*x+3) ogf] A052901 17.3692 [-(2+4*x+2*x^4+9*x^2+4*x^3)/(x-1)/(x^2+x+1)/(2*x^2+2*x+3) lgdogf] A052901 20.2305 [-(2*x^2+2*x+3)/(x-1)/(x^2+x+1) ogf] A052903 12.0491 [-(x-1)*(x^2+x+1)/(x^4-x^3-2*x+1) ogf] A052903 16.8266 [-(2+x^6)/(x-1)/(x^2+x+1)/(x^4-x^3-2*x+1) lgdogf] A052903 6.41867 [(f(x)-1)*(f(x)*x^4-f(x)*x^3+x^3-2*f(x)*x+f(x)-1) ogf] A052904 12.4371 [-(x-1)/(4*x^3-4*x^2-2*x+1) ogf] A052904 13.7444 [-(1+8*x-16*x^2+8*x^3)/(x-1)/(4*x^3-4*x^2-2*x+1) lgdogf] A052904 5.88543 [{-a(n+3)+2*a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=1,a(2)=6} ogf] A052904 5.99243 [-(191*f(x)+13)*(4*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A052905 13.4731 [(2*x^2-2*x-1)/(x-1)^3 ogf] A052905 26.0017 [-(-5+2*x^2)/(x-1)/(2*x^2-2*x-1) lgdogf] A052905 7.27308 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=10} ogf] A052905 9.23437 [-f(x)*x^3+3*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x-1 ogf] A052906 12.8098 [(x-1)*(x+1)/(x^2+3*x-1) ogf] A052906 18.6305 [3*(1+x^2)/(x-1)/(x+1)/(x^2+3*x-1) lgdogf] A052906 6.15375 [{-a(n+3)+3*a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A052906 9.36837 [-f(x)*x^2-3*f(x)*x+x^2+f(x)-1 ogf] A052907 12.269 [-2*f(x)*x^3-2*f(x)*x^2+f(x)-1 ogf] A052907 19.5641 [-1/(2*x^3+2*x^2-1) ogf] A052907 24.5904 [-2*x*(3*x+2)/(-1+2*x^2+2*x^3) lgdogf] A052907 7.78356 [{-a(n+3)+2*a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A052908 13.3783 [-(1+x+x^2+3*x^3)/(x-1)/(x^2+x+1)/(x^4-x^3-2*x+1) lgdogf] A052908 5.51169 [(-2+3*f(x))*(f(x)*x^4-f(x)*x^3-x^4+x^3-2*f(x)*x+f(x)+x-1) ogf] A052908 9.50568 [(x^2+x+1)*(x-1)^2/(x^4-x^3-2*x+1) ogf] A052909 12.5406 [-(x^2-x-1)/(3*x-1)/(x-1) ogf] A052909 18.1006 [-(5-8*x+x^2)/(x-1)/(3*x-1)/(x^2-x-1) lgdogf] A052909 6.45293 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=1,a(1)=5,a(2)=16} ogf] A052909 6.99633 [(12*f(x)+13)*(3*f(x)*x^2-4*f(x)*x+x^2+f(x)-x-1) ogf] A052910 13.5354 [(x-1)*(x^2+x+1)/(x^3+2*x-1) ogf] A052910 16.6572 [2*(1+2*x^3)/(x-1)/(x^2+x+1)/(x^3+2*x-1) lgdogf] A052910 5.81784 [{-a(n+4)+2*a(n+3)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A052910 9.89901 [f(x)*x^3-x^3+2*f(x)*x-f(x)+1 ogf] A052911 12.2332 [-(x-1)/(2*x^3-x^2-3*x+1) ogf] A052911 14.4393 [-(2+2*x-7*x^2+4*x^3)/(x-1)/(2*x^3-x^2-3*x+1) lgdogf] A052911 5.78895 [{-a(n+3)+3*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A052911 6.17487 [(209*f(x)+8)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A052912 21.3348 [-1/(2*x^3+2*x-1) ogf] A052912 25.5720 [-2*(1+3*x^2)/(-1+2*x+2*x^3) lgdogf] A052912 7.48987 [{-a(n+3)+2*a(n+2)+2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A052912 8.69195 [(f(x)-1)*(2*f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A052913 12.1781 [-1/2*(-1-5*x+(1+6*x+17*x^2)^(1/2))/(2*x+1) revogf] A052913 15.0435 [-2*(2-2*x+x^2)/(x-1)/(2*x^2-5*x+1) lgdogf] A052913 16.9528 [-(x-1)/(2*x^2-5*x+1) ogf] A052913 8.47637 [-(73*f(x)-9)*(2*f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A052913 9.30335 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=1,a(1)=4} ogf] A052914 12.3583 [-(x-1)/(2*x^5-2*x^4-x^3-x+1) ogf] A052914 14.0835 [-x^2*(8*x^3-16*x^2+3+6*x)/(x-1)/(2*x^5-2*x^4-x^3-x+1) lgdogf] A052915 12.0649 [-(x-1)/(3*x^4-3*x^3-x^2-x+1) ogf] A052915 14.2214 [-x*(2+9*x^3+8*x-18*x^2)/(x-1)/(3*x^4-3*x^3-x^2-x+1) lgdogf] A052915 5.79494 [-(544*f(x)+7)*(3*f(x)*x^4-3*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052916 13.8733 [-(x-1)/(x^4-2*x^3-x+1) ogf] A052916 18.1965 [-x^2*(3*x^2+6-8*x)/(x-1)/(x^4-2*x^3-x+1) lgdogf] A052916 6.68443 [-(305*f(x)-49)*(f(x)*x^4-2*f(x)*x^3-f(x)*x+f(x)+x-1) ogf] A052917 11.9873 [-a(n+4)+3*a(n+3)+a(n),a(0)=3,a(1)=9,a(2)=27,a(3)=85 lgdogf] A052917 19.6473 [-1/(x^4+3*x-1) ogf] A052917 7.62778 [-(f(x)-1)*(f(x)*x^4+3*f(x)*x-f(x)+1) ogf] A052918 15.2226 [1/2/x*(-1-5*x+(1+10*x+29*x^2)^(1/2)) revogf] A052918 16.9755 [-1/(x^2+5*x-1) ogf] A052918 27.4007 [-(5+2*x)/(x^2-1+5*x) lgdogf] A052918 6.51386 [-(27*f(x)-2)*(f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A052918 6.83161 [{-a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=5} ogf] A052919 11.8644 [(x^2-5*x+2)/(3*x-1)/(x-1) ogf] A052919 15.0190 [(3-10*x+11*x^2)/(x-1)/(3*x-1)/(x^2-5*x+2) lgdogf] A052919 6.16483 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=2,a(1)=3,a(2)=7} ogf] A052919 6.4826 [-(2*f(x)+5)*(3*f(x)*x^2-4*f(x)*x-x^2+f(x)+5*x-2) ogf] A052920 25.4126 [-1/(x^5+x^3-1) ogf] A052920 31.0599 [-x^2*(3+5*x^2)/(-1+x^3+x^5) lgdogf] A052921 13.0914 [(x-1)/(x^3-2*x^2+3*x-1) ogf] A052921 15.1164 [-(-2+4*x-5*x^2+2*x^3)/(x-1)/(x^3-2*x^2+3*x-1) lgdogf] A052921 6.19504 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A052921 7.41732 [-(f(x)-1)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A052922 21.3319 [-1/(x^4+2*x^3-1) ogf] A052922 27.0838 [-2*x^2*(3+2*x)/(-1+2*x^3+x^4) lgdogf] A052922 9.39619 [(73*f(x)-137)*(f(x)*x^4+2*f(x)*x^3-f(x)+1) ogf] A052923 10.7433 [4*f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A052923 15.0406 [(x-1)/(4*x^2+x-1) ogf] A052923 16.6681 [1/2/(-1+4*x)*(-1-x+(1-2*x+17*x^2)^(1/2)) revogf] A052923 23.8116 [-4*x*(x-2)/(x-1)/(4*x^2+x-1) lgdogf] A052923 8.35589 [{-a(n+2)+a(n+1)+4*a(n),a(0)=1,a(1)=0} ogf] A052924 13.7339 [(x-1)/(x^2+3*x-1) ogf] A052924 15.5167 [1/2/(x-1)*(-1-3*x+(1+2*x+13*x^2)^(1/2)) revogf] A052924 19.5209 [-(-2-2*x+x^2)/(x-1)/(x^2+3*x-1) lgdogf] A052924 7.10373 [(53*f(x)-37)*(f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A052924 7.53689 [{-a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A052925 10.9158 [-(-2+8*x-11*x^2+4*x^3)/(x-1)/(x^2-3*x+1)/(x^3-4*x^2+6*x-2) lgdogf] A052925 4.89733 [{a(n+4)-4*a(n+3)+4*a(n+2)-a(n+1),a(0)=2,a(1)=2,a(2)=4,a(3)=9} ogf] A052925 5.38706 [(9*f(x)+14)*(f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x+4*x^2-f(x)-6*x+2) ogf] A052925 9.36880 [(x^3-4*x^2+6*x-2)/(x-1)/(x^2-3*x+1) ogf] A052926 11.6928 [-(3*x-1)/(3*x^3-x^2-4*x+1) ogf] A052926 12.6460 [-(1+2*x-12*x^2+18*x^3)/(3*x-1)/(3*x^3-x^2-4*x+1) lgdogf] A052926 5.53321 [{-a(n+3)+4*a(n+2)+a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A052926 5.58307 [-(451*f(x)-234)*(3*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)+3*x-1) ogf] A052927 21.7518 [-1/(x^3+4*x-1) ogf] A052927 30.6493 [-(4+3*x^2)/(-1+4*x+x^3) lgdogf] A052927 7.55589 [{-a(n+3)+4*a(n+2)+a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A052927 8.86184 [(f(x)-1)*(f(x)*x^3+4*f(x)*x-f(x)+1) ogf] A052928 11.3181 [f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x) ogf] A052928 20.3726 [2*x^2/(x+1)/(x-1)^2 ogf] A052928 43.5175 [[1+x] ogf_with_Euler_transform] A052928 45.4079 [-(3*x+1)/(x-1)/(x+1) lgdogf] A052928 8.33425 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A052929 12.3291 [-(3+2*x+3*x^4-18*x^2+18*x^3)/(x-1)/(3*x-1)/(x+1)/(x^2+3*x-2) lgdogf] A052929 12.3455 [-(x^2+3*x-2)/(x-1)/(3*x-1)/(x+1) ogf] A052929 6.49205 [(2008*f(x)+107)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)+3*x-2) ogf] A052929 6.66440 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=2,a(1)=3,a(2)=10} ogf] A052930 10.6960 [-(x-1)/(2*x^4-2*x^3-2*x^2-x+1) ogf] A052930 11.8918 [-2*x*(2+3*x^3+2*x-6*x^2)/(x-1)/(2*x^4-2*x^3-2*x^2-x+1) lgdogf] A052930 5.13746 [-(117*f(x)-7)*(2*f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052931 23.6729 [-1/(x^3+3*x^2-1) ogf] A052931 30.8183 [-3*x*(x+2)/(-1+3*x^2+x^3) lgdogf] A052931 8.40008 [{-a(n+3)+3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A052931 9.19067 [(622*f(x)+107)*(f(x)*x^3+3*f(x)*x^2-f(x)+1) ogf] A052932 12.9475 [-(x-1)/(x^5-x^4-2*x+1) ogf] A052932 15.2808 [-(1+4*x^5-8*x^4+4*x^3)/(x-1)/(x^5-x^4-2*x+1) lgdogf] A052933 12.0491 [-(x-1)*(x+1)/(2*x^4-3*x^2-x+1) ogf] A052933 12.4641 [-(1+4*x+4*x^5+x^2-8*x^3)/(x-1)/(x+1)/(2*x^4-3*x^2-x+1) lgdogf] A052933 6.66794 [-f(x)*(2*f(x)*x^4-3*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A052934 11.9829 [-6*f(x)*x+f(x)+x-1 ogf] A052934 14.5738 [(x-1)/(6*x-1) ogf] A052934 16.4765 [1/2+3*x-1/2*(1+8*x+36*x^2)^(1/2) revogf] A052934 35.1499 [5/(6*x-1)/(x-1) lgdogf] A052934 7.48932 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=5} ogf] A052935 10.2420 [-(2+2*x^6+12*x^4+3*x^2-16*x^3)/(x-1)/(-1+2*x)/(x^2+x+1)/(x^3+2*x-2) lgdogf] A052935 11.4767 [-(x^3+2*x-2)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A052935 5.78577 [-(2849*f(x)+1919)*(2*f(x)*x^4-f(x)*x^3+x^3-2*f(x)*x+f(x)+2*x-2) ogf] A052936 12.2682 [(2*x-1)*(x-1)/(5*x^2-5*x+1) ogf] A052936 15.1747 [(2-6*x+5*x^2)/(x-1)/(-1+2*x)/(5*x^2-5*x+1) lgdogf] A052936 6.37465 [{a(n+3)-5*a(n+2)+5*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A052936 6.63483 [-(-7+87*f(x))*(5*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A052937 12.7227 [-(x^2+3*x-2)/(x-1)/(x^2+2*x-1) ogf] A052937 13.7498 [-(3-6*x+x^4+6*x^3)/(x-1)/(x^2+3*x-2)/(x^2+2*x-1) lgdogf] A052937 6.9293 [(2*f(x)+23)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)+3*x-2) ogf] A052937 6.92930 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A052938 14.7467 [-(2*x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A052938 19.6074 [-(-3-x-2*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2-2*x-1) lgdogf] A052938 7.6233 [-(47*f(x)+225)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-2*x-1) ogf] A052938 8.03171 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=2} ogf] A052939 11.3748 [-(x-1)*(x+1)/(2*x^3-x^2-3*x+1) ogf] A052939 13.8115 [-(3+2*x^4-3*x^2)/(x-1)/(x+1)/(2*x^3-x^2-3*x+1) lgdogf] A052939 5.78895 [{a(n+3)-3*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A052939 6.05945 [(f(x)-1)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)-1) ogf] A052940 14.9495 [-(5-8*x+2*x^2)/(x-1)/(-1+2*x)/(2*x^2-2*x-1) lgdogf] A052940 14.9756 [-(2*x^2-2*x-1)/(2*x-1)/(x-1) ogf] A052940 7.70590 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=5,a(2)=11} ogf] A052940 8.44369 [(7*f(x)+18)*(2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A052941 11.5729 [-(x-1)/(x^3+x^2-4*x+1) ogf] A052941 14.3012 [-(3-2*x-2*x^2+2*x^3)/(x-1)/(x^3+x^2-4*x+1) lgdogf] A052941 5.42800 [{a(n+3)-4*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A052941 5.95499 [(9*f(x)+2)*(f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A052942 14.1045 [-a(n+4)+a(n+3)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=9 lgdogf] A052942 22.2451 [-1/(x+1)/(2*x^3-2*x^2+2*x-1) ogf] A052942 8.63632 [-(f(x)-2)*(2*f(x)*x^4+f(x)*x-f(x)+1) ogf] A052943 12.1148 [-(x-1)*(x+1)/(x^5-x^3-2*x^2+1) ogf] A052943 13.9973 [-x*(2+3*x^5-6*x^3+3*x)/(x-1)/(x+1)/(x^5-x^3-2*x^2+1) lgdogf] A052943 6.65767 [-(2*f(x)-1)*(f(x)*x^5-f(x)*x^3-2*f(x)*x^2+x^2+f(x)-1) ogf] A052944 12.2821 [x*(3*x-2)/(2*x-1)/(x-1)^2 ogf] A052944 17.6842 [-(5-15*x+12*x^2)/(x-1)/(-1+2*x)/(3*x-2) lgdogf] A052944 6.30702 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A052944 8.23622 [-2*f(x)*x^3+5*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-2*x ogf] A052945 13.0488 [(x-1)*(x+1)/(2*x^2+2*x-1) ogf] A052945 16.9246 [2*(1+x+x^2)/(x-1)/(x+1)/(2*x^2+2*x-1) lgdogf] A052945 6.26856 [{a(n+3)-2*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A052945 7.18418 [(3*f(x)-1)*(2*f(x)*x^2+2*f(x)*x-x^2-f(x)+1) ogf] A052946 10.4278 [-(x-1)^2/(x^4-2*x^3+3*x-1) ogf] A052946 12.2140 [-(-1-3*x+2*x^4+6*x^2-6*x^3)/(x-1)/(x^4-2*x^3+3*x-1) lgdogf] A052946 5.48359 [-(21*f(x)-2)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A052947 10.5986 [f(x)*(2*f(x)*x^3+f(x)*x^2-f(x)+1) ogf] A052947 23.4454 [-1/(2*x^3+x^2-1) ogf] A052947 28.2402 [-2*x*(3*x+1)/(-1+x^2+2*x^3) lgdogf] A052947 8.31933 [{a(n+3)-a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A052948 14.3655 [-(1-6*x^2+8*x^3)/(-1+2*x)/(x-1)/(2*x^2+2*x-1) lgdogf] A052948 14.6617 [-(2*x-1)/(x-1)/(2*x^2+2*x-1) ogf] A052948 7.01889 [{-a(n+3)+3*a(n+2)-2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A052948 8.14539 [-f(x)*(2*f(x)*x^3-3*f(x)*x+f(x)+2*x-1) ogf] A052949 10.2522 [-(x^3-4*x+2)/(x-1)/(x^3-x^2-2*x+1) ogf] A052949 10.5101 [-(2-4*x+x^6-11*x^4-5*x^2+18*x^3)/(x-1)/(x^3-x^2-2*x+1)/(x^3-4*x+2) lgdogf] A052949 5.16351 [-(262*f(x)+415)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-f(x)-4*x+2) ogf] A052950 10.3375 [(x-2)*(x^2+x-1)/(x-1)/(2*x-1)/(x+1) ogf] A052950 11.4640 [(1+2*x+x^4-10*x^2+8*x^3)/(x-1)/(x-2)/(-1+2*x)/(x+1)/(x^2+x-1) lgdogf] A052950 5.40370 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=2,a(1)=1,a(2)=3,a(3)=4} ogf] A052950 5.7063 [-(23+36*f(x))*(2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+3*x-2) ogf] A052951 12.7703 [-(2*x+1)*(x-1)/(2*x-1)^2 ogf] A052951 20.7299 [-(-5+2*x)/(x-1)/(2*x+1)/(-1+2*x) lgdogf] A052951 6.57114 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=5,a(2)=14} ogf] A052951 7.20028 [(8*f(x)+17)*(4*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-x-1) ogf] A052952 16.3739 [1/(x-1)/(x+1)/(x^2+x-1) ogf] A052952 16.4591 [-(-1-4*x+3*x^2+4*x^3)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A052952 6.52293 [-(33*f(x)+14)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A052953 11.8652 [-2*(x^2+x-1)/(x-1)/(2*x-1)/(x+1) ogf] A052953 13.3923 [-(1+2*x^4-5*x^2+4*x^3)/(x-1)/(-1+2*x)/(x+1)/(x^2+x-1) lgdogf] A052953 6.29371 [-(f(x)+6)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+2*x^2+f(x)+2*x-2) ogf] A052953 6.46230 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=2,a(2)=4} ogf] A052954 11.5610 [-(1+2*x+x^6+2*x^5+4*x^4-3*x^2-6*x^3)/(x-1)/(x^3+x^2+x-2)/(x^3+x^2-1) lgdogf] A052954 11.6191 [-(x^3+x^2+x-2)/(x-1)/(x^3+x^2-1) ogf] A052954 8.2651 [-f(x)*x^4+f(x)*x^2-x^3+f(x)*x-x^2-f(x)-x+2 ogf] A052955 12.8061 [-(x^2-x-1)/(x-1)/(2*x^2-1) ogf] A052955 14.7350 [-(2+2*x+2*x^4-3*x^2-4*x^3)/(x-1)/(2*x^2-1)/(x^2-x-1) lgdogf] A052955 6.79281 [-(2*f(x)+7)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A052955 6.97476 [{-a(n+3)+a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A052956 11.5335 [-(x^2+3*x-2)/(2*x-1)/(x^2+x-1) ogf] A052956 11.8911 [-(3-6*x+2*x^4-6*x^2+12*x^3)/(-1+2*x)/(x^2+3*x-2)/(x^2+x-1) lgdogf] A052956 6.06504 [-(f(x)+25)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)+3*x-2) ogf] A052956 6.28165 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A052957 11.4767 [-2*(x^2+x-1)/(2*x-1)/(2*x^2-1) ogf] A052957 12.2539 [-(1+2*x+4*x^4-12*x^2+8*x^3)/(-1+2*x)/(2*x^2-1)/(x^2+x-1) lgdogf] A052957 5.98358 [-(13*f(x)+79)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+2*x-2) ogf] A052957 6.25071 [{-a(n+3)+2*a(n+2)+2*a(n+1)-4*a(n),a(0)=2,a(1)=2,a(2)=6} ogf] A052958 12.2332 [-(x-1)/(2*x^4-2*x^3-3*x+1) ogf] A052958 12.7066 [-2*(1+3*x^4+3*x^2-6*x^3)/(x-1)/(2*x^4-2*x^3-3*x+1) lgdogf] A052958 6.23424 [(87*f(x)-5)*(2*f(x)*x^4-2*f(x)*x^3-3*f(x)*x+f(x)+x-1) ogf] A052959 13.6820 [-(2*x^2+x-2)/(x-1)/(x+1)/(x^2+x-1) ogf] A052959 14.0760 [-(1+4*x+4*x^5+5*x^4-6*x^2-6*x^3)/(x-1)/(x+1)/(x^2+x-1)/(2*x^2+x-2) lgdogf] A052959 7.0982 [(196*f(x)+221)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+2*x^2+f(x)+x-2) ogf] A052960 10.8079 [-(x+1)*(2*x^4+2*x^3-4*x^2+x+1)/(x^2+x-1)/(x^4+x^3-2*x^2-2*x+1) lgdogf] A052960 5.06342 [-(13*f(x)-18)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1) ogf] A052960 9.90670 [-(x^2+x-1)/(x^4+x^3-2*x^2-2*x+1) ogf] A052961 17.1593 [-(3*x-1)/(3*x^2-5*x+1) ogf] A052961 18.9784 [-1/6*(-1-5*x+(1-2*x+13*x^2)^(1/2))/(1+x) revogf] A052961 21.0871 [-(2-6*x+9*x^2)/(3*x-1)/(3*x^2-5*x+1) lgdogf] A052961 8.48537 [-(37*f(x)-21)*(3*f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A052961 9.41671 [{a(n+2)-5*a(n+1)+3*a(n),a(0)=1,a(1)=2} ogf] A052962 11.9888 [-(2*x^2-1)/(2*x^4-3*x^2-x+1) ogf] A052962 12.4005 [-(1+2*x+8*x^5+2*x^2-8*x^3)/(2*x^2-1)/(2*x^4-3*x^2-x+1) lgdogf] A052962 6.90266 [f(x)*(2*f(x)*x^4-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-1) ogf] A052963 12.3749 [-(x^2+x-1)/(x^3-3*x+1) ogf] A052963 16.0672 [-(2-2*x+x^4+2*x^3)/(x^2+x-1)/(x^3-3*x+1) lgdogf] A052963 6.69257 [-(25*f(x)-4)*(f(x)*x^3-3*f(x)*x+x^2+f(x)+x-1) ogf] A052963 6.97736 [{-a(n+3)+3*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A052964 13.1944 [-(x-1)/(2*x-1)/(x^2-x-1) ogf] A052964 16.8003 [-x*(6-9*x+4*x^2)/(-1+2*x)/(x-1)/(x^2-x-1) lgdogf] A052964 6.30002 [{-a(n+3)+a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A052964 6.59718 [(787*f(x)-58)*(2*f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052965 11.7528 [-(x-1)/(4*x^3-4*x^2-3*x+1) ogf] A052965 12.7122 [-2*(1+4*x-8*x^2+4*x^3)/(x-1)/(4*x^3-4*x^2-3*x+1) lgdogf] A052965 5.51237 [{-a(n+3)+3*a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A052965 5.71467 [-(111*f(x)+1)*(4*f(x)*x^3-4*f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A052966 12.7064 [-(x-1)/(2*x^3-4*x^2-x+1) ogf] A052966 15.7913 [-2*x*(4-5*x+2*x^2)/(x-1)/(2*x^3-4*x^2-x+1) lgdogf] A052966 6.067 [-(289*f(x)-545)*(2*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052966 6.06701 [{-a(n+3)+a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=4} ogf] A052967 12.9631 [-(x-1)/(x^4-x^2-2*x+1) ogf] A052967 14.6399 [-(1+2*x+3*x^4-x^2-4*x^3)/(x-1)/(x^4-x^2-2*x+1) lgdogf] A052967 6.3615 [-(15*f(x)-1)*(f(x)*x^4-f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A052968 10.3882 [(x^3-3*x^2+5*x-2)/(2*x-1)/(x-1)^2 ogf] A052968 13.2603 [(-3+11*x-11*x^2+x^3)/(-1+2*x)/(x-1)/(x^3-3*x^2+5*x-2) lgdogf] A052968 5.43019 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=2,a(1)=3,a(2)=5,a(3)=8} ogf] A052968 5.78052 [-(2*f(x)-15)*(2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-5*x+2) ogf] A052969 13.8860 [-(x-1)/(x^4-2*x^2-x+1) ogf] A052969 16.4839 [-x*(4+3*x^3-2*x-4*x^2)/(x-1)/(x^4-2*x^2-x+1) lgdogf] A052969 6.8781 [-(9*f(x)-1)*(f(x)*x^4-2*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052970 13.6712 [-(2*x-1)/(2*x^3-2*x^2-2*x+1) ogf] A052970 15.1972 [-2*x*(4*x^2-5*x+2)/(-1+2*x)/(2*x^3-2*x^2-2*x+1) lgdogf] A052970 6.52768 [{-a(n+3)+2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A052970 6.70899 [-(9*f(x)-13)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)+2*x-1) ogf] A052971 13.1528 [-(x-1)/(2*x^4-2*x^3-2*x+1) ogf] A052971 13.9462 [-(1+6*x^4+6*x^2-12*x^3)/(x-1)/(2*x^4-2*x^3-2*x+1) lgdogf] A052971 6.70288 [(49*f(x)-1)*(2*f(x)*x^4-2*f(x)*x^3-2*f(x)*x+f(x)+x-1) ogf] A052972 10.9942 [-(x-1)*(x^2+x+1)/(x^5-x^3-x^2-x+1) ogf] A052972 11.6734 [-(1+2*x-4*x^4+2*x^7+2*x^3)/(x-1)/(1+x+x^2)/(x^5-x^3-x^2-x+1) lgdogf] A052973 12.3753 [-(x-1)/(x^3-3*x^2-x+1) ogf] A052973 16.9892 [-2*x*(3-3*x+x^2)/(x-1)/(x^3-3*x^2-x+1) lgdogf] A052973 5.90894 [{-a(n+3)+a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A052973 6.12983 [(868*f(x)-139)*(f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A052974 11.6530 [-(2*x-1)/(2*x^4-x^3-x^2-2*x+1) ogf] A052974 13.2176 [-x*(2+12*x^3+x-12*x^2)/(-1+2*x)/(2*x^4-x^3-x^2-2*x+1) lgdogf] A052974 5.59713 [(1763*f(x)-1080)*(2*f(x)*x^4-f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+2*x-1) ogf] A052975 10.6431 [-(2-8*x+2*x^4+11*x^2-6*x^3)/(-1+2*x)/(x-1)/(x^3-6*x^2+5*x-1) lgdogf] A052975 12.5640 [-(2*x-1)*(x-1)/(x^3-6*x^2+5*x-1) ogf] A052975 6.84291 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A052975 6.84292 [(13*f(x)-5)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A052976 12.5615 [-(2*x-1)/(2*x^4-x^3-3*x+1) ogf] A052976 12.7956 [-(1+12*x^4+3*x^2-12*x^3)/(-1+2*x)/(2*x^4-x^3-3*x+1) lgdogf] A052976 5.94428 [-(1773*f(x)-760)*(2*f(x)*x^4-f(x)*x^3-3*f(x)*x+f(x)+2*x-1) ogf] A052977 11.1916 [-(x-1)*(x+1)/(x^5-x^3-x^2-x+1) ogf] A052977 13.7139 [-(1+3*x^6-6*x^4+4*x^2)/(x-1)/(x+1)/(x^5-x^3-x^2-x+1) lgdogf] A052978 13.6043 [-(2*x-1)/(4*x^3-2*x^2-4*x+1) ogf] A052978 6.38079 [{-a(n+3)+4*a(n+2)+2*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A052978 6.5548 [-(107*f(x)-22)*(4*f(x)*x^3-2*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A052978 9.49174 [-2*(1+2*x-8*x^2+8*x^3)/(-1+2*x)/(4*x^3-2*x^2-4*x+1) lgdogf] A052979 11.4218 [-2*(1+2*x+2*x^5+x^2-4*x^3)/(x-1)/(x+1)/(2*x^4-3*x^2-2*x+1) lgdogf] A052979 11.8535 [-(x-1)*(x+1)/(2*x^4-3*x^2-2*x+1) ogf] A052979 6.03256 [-(11*f(x)-1)*(2*f(x)*x^4-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A052980 15.2622 [(x-1)/(x^3+2*x-1) ogf] A052980 19.2303 [-(-1-3*x^2+2*x^3)/(x-1)/(x^3+2*x-1) lgdogf] A052980 7.30636 [{-a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A052980 9.21433 [(5*f(x)-3)*(f(x)*x^3+2*f(x)*x-f(x)-x+1) ogf] A052981 14.2117 [-(x-1)/(3*x^3-3*x^2-4*x+1) ogf] A052981 15.4238 [-3*(1+2*x-4*x^2+2*x^3)/(x-1)/(3*x^3-3*x^2-4*x+1) lgdogf] A052981 6.66565 [{-a(n+3)+4*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A052981 6.97423 [-(65*f(x)-2)*(3*f(x)*x^3-3*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A052982 12.1946 [-(1+4*x+3*x^4-2*x^2-4*x^3)/(x-1)/(x^4-2*x^2-2*x+1) lgdogf] A052982 14.6958 [-(x-1)/(x^4-2*x^2-2*x+1) ogf] A052982 7.34787 [(154*f(x)-19)*(f(x)*x^4-2*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A052984 14.0052 [-(2*x-1)/(2*x^2-5*x+1) ogf] A052984 15.4423 [-1/4*(-1-5*x+(1+2*x+17*x^2)^(1/2))/(1+x) revogf] A052984 16.6944 [-(3-4*x+4*x^2)/(-1+2*x)/(2*x^2-5*x+1) lgdogf] A052984 7.0026 [-(11*f(x)-2)*(2*f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A052984 7.68577 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=1,a(1)=3} ogf] A052985 10.4278 [-(x-1)/(x^4-x^3+x^2-3*x+1) ogf] A052985 11.9791 [-(2-2*x+3*x^4+4*x^2-6*x^3)/(x-1)/(x^4-x^3+x^2-3*x+1) lgdogf] A052985 5.04839 [-(12*f(x)-1)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A052986 12.8098 [-2*(1-x-2*x^2+4*x^3)/(x-1)/(-1+2*x)/(2*x^2+3*x-1) lgdogf] A052986 14.3027 [-(2*x-1)/(x-1)/(2*x^2+3*x-1) ogf] A052986 6.76824 [{a(n+3)-4*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A052986 7.01891 [-(3*f(x)+20)*(2*f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A052987 11.9332 [-(2*x^2-1)/(2*x^3-2*x^2-2*x+1) ogf] A052987 14.4940 [-2*(1+2*x^4-x^2)/(2*x^2-1)/(2*x^3-2*x^2-2*x+1) lgdogf] A052987 6.07317 [{a(n+3)-2*a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A052987 6.35695 [(5*f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A052988 10.0991 [-(x-1)*(x+1)/(x^4+x^3-2*x^2-2*x+1) ogf] A052988 10.3728 [-(2+2*x+2*x^5+x^4-x^2-4*x^3)/(x-1)/(x+1)/(x^4+x^3-2*x^2-2*x+1) lgdogf] A052988 6.37325 [f(x)*x^4+f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-1 ogf] A052989 12.5522 [-(x-1)/(x^5-x^4-x^2-x+1) ogf] A052989 15.0939 [-x*(2+4*x^4-8*x^3-x+4*x^2)/(x-1)/(x^5-x^4-x^2-x+1) lgdogf] A052990 13.5436 [-(x-1)/(2*x^3-x^2-4*x+1) ogf] A052990 16.0212 [-(3+2*x-7*x^2+4*x^3)/(x-1)/(2*x^3-x^2-4*x+1) lgdogf] A052990 6.35230 [{-a(n+3)+4*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A052990 6.83628 [(149*f(x)-4)*(2*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A052991 11.0291 [-f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1 ogf] A052991 11.6001 [(x^2+x-1)/(x^2+3*x-1) ogf] A052991 19.4171 [2*(x^2+1)/(x^2+x-1)/(x^2+3*x-1) lgdogf] A052991 6.02751 [{a(n+3)-3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A052992 17.3287 [-(-1-8*x+12*x^2)/(x-1)/(2*x+1)/(-1+2*x) lgdogf] A052992 18.6401 [1/(x-1)/(2*x+1)/(2*x-1) ogf] A052992 6.15788 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A052992 7.87198 [(3*f(x)+2)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-1) ogf] A052993 19.1220 [1/(x-1)/(3*x^2-1) ogf] A052993 22.3643 [-(-1-6*x+9*x^2)/(x-1)/(3*x^2-1) lgdogf] A052993 6.31710 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A052993 7.00509 [(13*f(x)+11)*(3*f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-1) ogf] A052994 12.2901 [-2*x*(x-1)/(x^3-x^2-2*x+1) ogf] A052994 16.4341 [-(1+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2-2*x+1) lgdogf] A052994 6.31112 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A052994 6.54704 [(f(x)+2)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x) ogf] A052995 15.4789 [-2*x*(x-1)/(x^2-3*x+1) ogf] A052995 16.5756 [-1/2*(-2-3*x+(4+4*x+5*x^2)^(1/2))/(x+2) revogf] A052995 21.5482 [-(2-2*x+x^2)/(x-1)/(x^2-3*x+1) lgdogf] A052995 7.50958 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=2,a(2)=4} ogf] A052995 9.36379 [f(x)*(f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x) ogf] A052996 12.0491 [-(x^3-x^2-1)/(2*x-1)/(x-1) ogf] A052996 12.6993 [(-3+2*x+2*x^4+6*x^2-6*x^3)/(x-1)/(-1+2*x)/(x^3-x^2-1) lgdogf] A052996 5.97216 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=1,a(1)=3,a(2)=8,a(3)=17} ogf] A052996 6.73331 [-(8*f(x)+83)*(2*f(x)*x^2+x^3-3*f(x)*x-x^2+f(x)-1) ogf] A052997 11.0901 [-(x^3-x-1)/(x-1)/(2*x-1)/(x+1) ogf] A052997 13.5257 [-(3+2*x+x^4-8*x^2)/(x-1)/(-1+2*x)/(x+1)/(x^3-x-1) lgdogf] A052997 5.08644 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=14} ogf] A052997 5.83186 [-(8*f(x)+27)*(2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+f(x)-x-1) ogf] A053069 7.82424 [(10-6*x-1980*x^6+1080*x^5+8*x^4+9*x^2+900*x^7-19*x^3)/(x-1)/(180*x^7-180*x^6+4*x^4-3*x^3+6*x^2-6*x-2) lgdogf] A053069 9.05678 [-(180*x^7-180*x^6+4*x^4-3*x^3+6*x^2-6*x-2)/(x-1)^2 ogf] A053088 21.1910 [-1/(2*x-1)/(x+1)^2 ogf] A053088 36.2533 [-6*x/(x+1)/(-1+2*x) lgdogf] A053088 7.51938 [{-a(n+3)+3*a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A053088 8.22708 [(313*f(x)+416)*(2*f(x)*x^3+3*f(x)*x^2-f(x)+1) ogf] A053090 16.5144 [-6*x*(1+x+x^2+x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A053090 28.7504 [-x^5+2*x^2+3*x ogf_with_Euler_transform] A053090 8.29392 [(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A053100 30.9733 [-13+(1-6*x)*f(x) lgdegf] A053100 5.62672 [{(-6*n-19)*a(n+1)+a(n+2),a(0)=1,a(1)=13} ogf] A053101 31.1426 [-14+(1-6*x)*f(x) lgdegf] A053101 5.65681 [{(-6*n-20)*a(n+1)+a(n+2),a(0)=1,a(1)=14} ogf] A053101 7.32766 [1/6*(-1+(1+8*x)^(1/4))*((1+8*x)^(1/2)+(1+8*x)^(1/4)+1)/(1+8*x)^(3/4) revegf] A053102 31.3118 [-15+(1-6*x)*f(x) lgdegf] A053102 5.68690 [{(-6*n-21)*a(n+1)+a(n+2),a(0)=1,a(1)=15} ogf] A053102 9.27758 [1/6*(-1+(1+9*x)^(1/3))*((1+9*x)^(1/3)+1)/(1+9*x)^(2/3) revegf] A053103 31.4811 [-16+(1-6*x)*f(x) lgdegf] A053103 5.71700 [{(-6*n-22)*a(n+1)+a(n+2),a(0)=1,a(1)=16} ogf] A053103 7.09433 [1/6*((10*x+1)^(1/5)-1)*((10*x+1)^(2/5)+(10*x+1)^(1/5)+1)/(10*x+1)^(3/5) revegf] A053104 27.2153 [-15+(1-7*x)*f(x) lgdegf] A053104 4.95557 [{(-7*n-22)*a(n+1)+a(n+2),a(0)=1,a(1)=15} ogf] A053105 27.3802 [-16+(1-7*x)*f(x) lgdegf] A053105 4.98489 [{(-7*n-23)*a(n+1)+a(n+2),a(0)=1,a(1)=16} ogf] A053106 27.5452 [-17+(1-7*x)*f(x) lgdegf] A053106 5.01421 [{(-7*n-24)*a(n+1)+a(n+2),a(0)=1,a(1)=17} ogf] A053107 27.9268 [-64+(1-8*x)*f(x) lgdogf] A053107 4.31755 [{(-n-2)*a(n+2)+(72+8*n)*a(n+1),a(0)=1,a(1)=64} ogf] A053108 29.2808 [-81+(1-9*x)*f(x) lgdogf] A053108 4.52193 [{(-n-2)*a(n+2)+(90+9*n)*a(n+1),a(0)=1,a(1)=81} ogf] A053109 27.3814 [-100+(1-10*x)*f(x) lgdogf] A053109 4.62107 [{(-n-2)*a(n+2)+(110+10*n)*a(n+1),a(0)=1,a(1)=100} ogf] A053110 13.6441 [1/7*(-1+(1+49*x)^(1/7))/(1+49*x)^(1/7) revogf] A053110 3.13497 [-(16807*x^6-16807*x^5+7203*x^4-1715*x^3+245*x^2-21*x+1)/(7*x-1)^7 ogf] A053110 4.99821 [{(7*n+63)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=28} ogf] A053111 12.7685 [1/8*(-1+(1+64*x)^(1/8))/(1+64*x)^(1/8) revogf] A053111 4.68202 [{(8*n+80)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=36} ogf] A053112 13.5711 [1/9*(-1+(1+81*x)^(1/9))/(1+81*x)^(1/9) revogf] A053112 4.96974 [{(9*n+99)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=45} ogf] A053113 12.5734 [1/10*(-1+(1+100*x)^(1/10))/(1+100*x)^(1/10) revogf] A053113 5.10875 [{(10*n+120)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=55} ogf] A053114 27.7101 [-17+(1-8*x)*f(x) lgdegf] A053114 5.04353 [{(-8*n-25)*a(n+1)+a(n+2),a(0)=1,a(1)=17} ogf] A053115 27.7101 [-18+(1-8*x)*f(x) lgdegf] A053115 5.04353 [{(-8*n-26)*a(n+1)+a(n+2),a(0)=1,a(1)=18} ogf] A053115 5.91149 [1/8*((10*x+1)^(1/5)-1)*((10*x+1)^(1/5)+1)*((10*x+1)^(2/5)+1)/(10*x+1)^(4/5) revegf] A053116 28.6998 [-19+(1-9*x)*f(x) lgdegf] A053116 5.21948 [{(-9*n-28)*a(n+1)+a(n+2),a(0)=1,a(1)=19} ogf] A053126 18.5170 [-(35+42*x+3*x^2)/(x-1)/(x^2+10*x+5) lgdogf] A053126 8.27445 [-(x^2+10*x+5)/(x-1)^5 ogf] A053127 17.8333 [-4*(7+14*x+3*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A053127 7.56672 [2*(x+3)*(3*x+1)/(x-1)^6 ogf] A053128 15.8384 [-4*(21+63*x+27*x^2+x^3)/(x-1)/(x^3+21*x^2+35*x+7) lgdogf] A053128 6.36950 [{(-2*n^2-21*n-55)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=7,a(1)=84} ogf] A053128 7.38148 [-(x^3+21*x^2+35*x+7)/(x-1)^7 ogf] A053129 14.4456 [-(15+63*x+45*x^2+5*x^3)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A053129 5.53701 [{(2*n^2+23*n+66)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=8,a(1)=120} ogf] A053129 5.96660 [8*(x+1)*(x^2+6*x+1)/(x-1)^8 ogf] A053130 4.47711 [-(x+3)*(x^3+33*x^2+27*x+3)/(x-1)^9 ogf] A053130 4.90691 [{(2*n^2+25*n+78)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=9,a(1)=165} ogf] A053130 9.10078 [-(165+924*x+5*x^4+990*x^2+220*x^3)/(x+3)/(x-1)/(x^3+33*x^2+27*x+3) lgdogf] A053131 3.93946 [2*(x^2+10*x+5)*(5*x^2+10*x+1)/(x-1)^10 ogf] A053131 4.87743 [{(2*n^2+27*n+91)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=10,a(1)=220} ogf] A053131 8.60020 [-2*(55+396*x+15*x^4+594*x^2+220*x^3)/(x-1)/(x^2+10*x+5)/(5*x^2+10*x+1) lgdogf] A053132 18.2837 [-4*(7+14*x+3*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A053132 7.75542 [(x+3)*(3*x+1)/(x-1)^6 ogf] A053133 4.16074 [(x^2+10*x+5)*(5*x^2+10*x+1)/(x-1)^10 ogf] A053133 5.05946 [{(2*n^2+27*n+91)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=5,a(1)=110} ogf] A053133 8.85314 [-2*(55+396*x+15*x^4+594*x^2+220*x^3)/(x-1)/(x^2+10*x+5)/(5*x^2+10*x+1) lgdogf] A053134 10.2460 [-(5*x^2+10*x+1)/(x-1)^5 ogf] A053134 21.7631 [-5*(x+3)*(3*x+1)/(x-1)/(5*x^2+10*x+1) lgdogf] A053134 4.03783 [{(n+4)*a(n+4)+(12+9*n)*a(n+3)+(-60-5*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=1,a(1)=15,a(2)=70,a(3)=210} ogf] A053135 15.4880 [-28*(x+1)*(x^2+6*x+1)/(x-1)/(7*x^3+35*x^2+21*x+1) lgdogf] A053135 6.28169 [{(2*n^2+19*n+45)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=28} ogf] A053135 7.22101 [-(7*x^3+35*x^2+21*x+1)/(x-1)^7 ogf] A053136 10.9681 [-4*(x+3)*(x^3+33*x^2+27*x+3)/(x-1)/(x^4+28*x^3+70*x^2+28*x+1) lgdogf] A053136 5.45791 [(x^4+28*x^3+70*x^2+28*x+1)/(x-1)^8 ogf] A053136 5.54666 [{(2*n^2+21*n+55)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=36} ogf] A053137 11.6122 [-9*(x^2+10*x+5)*(5*x^2+10*x+1)/(x-1)/(3*x+1)/(3*x^3+27*x^2+33*x+1) lgdogf] A053137 5.69150 [-(3*x+1)*(3*x^3+27*x^2+33*x+1)/(x-1)^9 ogf] A053137 6.33931 [{(2*n^2+23*n+66)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=45} ogf] A053138 4.78100 [(x+1)*(x^4+44*x^3+166*x^2+44*x+1)/(x-1)^10 ogf] A053138 6.29693 [{(2*n^2+25*n+78)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=55} ogf] A053138 7.78622 [-5*(11+165*x+x^5+55*x^4+462*x^2+330*x^3)/(x-1)/(x+1)/(x^4+44*x^3+166*x^2+44*x+1) lgdogf] A053141 12.6517 [-2*x/(x-1)/(x^2-6*x+1) ogf] A053141 16.9755 [-(7-14*x+3*x^2)/(x-1)/(x^2-6*x+1) lgdogf] A053141 5.08326 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=14} ogf] A053141 7.39384 [f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)+2*x ogf] A053142 13.4404 [-x/(x-1)/(x^2-6*x+1) ogf] A053142 16.4220 [-(7-14*x+3*x^2)/(x-1)/(x^2-6*x+1) lgdogf] A053142 4.96449 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A053142 7.1566 [f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A053152 11.6699 [-(-9+44*x-69*x^2+36*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(3*x-2) lgdogf] A053152 13.1564 [x*(3*x-2)/(2*x-1)/(3*x-1)/(x-1) ogf] A053152 6.81316 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=0,a(1)=2,a(2)=9} ogf] A053152 6.87455 [(83*f(x)-765)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-3*x^2-f(x)+2*x) ogf] A053153 4.77831 [-x^2*(280*x^3-335*x^2+116*x-13)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A053154 4.41772 [-(5*f(x)+1)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-7*x^3-10*f(x)*x+5*x^2+f(x)-x) ogf] A053154 7.48004 [-(6*x^2-4*x+1)*(56*x^3-81*x^2+36*x-5)/(x-1)/(3*x-1)/(-1+2*x)/(4*x-1)/(7*x^2-5*x+1) lgdogf] A053154 8.08958 [x*(7*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A053155 4.14616 [x*(1224*x^5-1562*x^4+787*x^3-190*x^2+22*x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A053156 10.6151 [-(3*x^2-3*x+1)/(2*x-1)/(3*x-1)/(x-1) ogf] A053156 5.77312 [(83*f(x)-39)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A053156 5.77312 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A053156 9.62841 [-(3-16*x+18*x^4+33*x^2-36*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(3*x^2-3*x+1) lgdogf] A053157 4.45929 [-(280*x^5-475*x^4+339*x^3-112*x^2+17*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A053208 13.4660 [x*(x+3)/(2*x-1)/(x-1) ogf] A053208 15.8446 [-1/2*(-3-3*x+(9+22*x+x^2)^(1/2))/(-1+2*x) revogf] A053208 18.0453 [-2*(-5+6*x+x^2)/(x-1)/(x+3)/(-1+2*x) lgdogf] A053208 6.46895 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=0,a(1)=3,a(2)=10} ogf] A053208 7.76273 [-f(x)*(2*f(x)*x^2-3*f(x)*x-x^2+f(x)-3*x) ogf] A053209 12.7064 [(x+1)^2/(2*x-1)/(x-1) ogf] A053209 21.9944 [-(-5+7*x)/(x-1)/(-1+2*x)/(x+1) lgdogf] A053209 6.53823 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=5,a(2)=14} ogf] A053209 7.08881 [(12+13*f(x))*(2*f(x)*x^2-3*f(x)*x-x^2+f(x)-2*x-1) ogf] A053220 17.4752 [(x+1)/(2*x-1)^2 ogf] A053220 20.8824 [-1/2*(-1-4*x+(1+12*x)^(1/2))/(-1+4*x) revogf] A053220 33.5934 [-(2*x+5)/(x+1)/(-1+2*x) lgdogf] A053220 9.03889 [(12*f(x)+13)*(4*f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A053220 9.59005 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=5} ogf] A053221 14.5672 [-(5-13*x+6*x^2+4*x^3)/(x-1)/(-1+2*x)/(x^2+x-1) lgdogf] A053221 5.13956 [(2*f(x)+175)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+x^2+f(x)+x-1) ogf] A053221 9.62763 [-(x^2+x-1)/(2*x-1)^2/(x-1)^2 ogf] A053295 18.8108 [-(-7+5*x+8*x^2)/(x-1)/(x^2+x-1) lgdogf] A053295 7.10076 [-1/(x^2+x-1)/(x-1)^6 ogf] A053296 19.3684 [-(3*x+4)*(3*x-2)/(x-1)/(x^2+x-1) lgdogf] A053296 4.84159 [{(-n-4)*a(n+4)+(14+2*n)*a(n+3)-6*a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=8,a(2)=37,a(3)=129} ogf] A053296 9.52867 [1/(x^2+x-1)/(x-1)^7 ogf] A053297 12.1622 [-(-5+16*x-18*x^2+8*x^3)/(x-1)/(-1+2*x)/(2*x^2-4*x+1) lgdogf] A053297 4.88746 [(6*f(x)+11)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-8*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A053297 9.08654 [(2*x-1)*(x-1)/(2*x^2-4*x+1)^2 ogf] A053298 14.1114 [-(-8-4*x+15*x^2+12*x^3)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A053298 7.77976 [(2*x+1)/(x^2+x-1)/(x-1)^5 ogf] A053307 19.1875 [-(1+6*x-3*x^2+4*x^3)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A053307 24.7661 [-x^5+x^2+3*x+1 ogf_with_Euler_transform] A053307 9.66499 [(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A053308 19.9932 [-(-9+7*x+10*x^2)/(x-1)/(x^2+x-1) lgdogf] A053308 3.53033 [{(-n-4)*a(n+4)+(15+2*n)*a(n+3)-7*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=9,a(2)=46,a(3)=175} ogf] A053308 6.22010 [-1/(x^2+x-1)/(x-1)^8 ogf] A053309 19.1758 [-(-10+8*x+11*x^2)/(x-1)/(x^2+x-1) lgdogf] A053309 3.47304 [{(-n-4)*a(n+4)+(16+2*n)*a(n+3)-8*a(n+2)+(-12-n)*a(n+1),a(0)=1,a(1)=10,a(2)=56,a(3)=231} ogf] A053309 5.47445 [1/(x^2+x-1)/(x-1)^9 ogf] A053310 27.4906 [-6*(3*x+2)/(2*x+1)/(x-1) lgdogf] A053310 4.37081 [{(-n-3)*a(n+3)+(10-n)*a(n+2)+(20+2*n)*a(n+1),a(0)=1,a(1)=12,a(2)=75} ogf] A053310 5.42826 [(2*x+1)/(x-1)^10 ogf] A053311 14.5299 [(3*x+1)/(x-1)/(x^2+x-1) ogf] A053311 15.6064 [-(-5+3*x^2+6*x^3)/(x-1)/(3*x+1)/(x^2+x-1) lgdogf] A053311 6.88260 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=5,a(2)=10} ogf] A053311 7.43008 [(107*f(x)+43)*(f(x)*x^3-2*f(x)*x+f(x)-3*x-1) ogf] A053347 29.6935 [-2*(4*x+5)/(x-1)/(x+1) lgdogf] A053347 29.9898 [[10-x] ogf_with_Euler_transform] A053347 4.86661 [{(-n-3)*a(n+3)+10*a(n+2)+(9+n)*a(n+1),a(0)=1,a(1)=10,a(2)=54} ogf] A053347 6.11674 [-(x+1)/(x-1)^9 ogf] A053367 20.1276 [-(11+16*x)/(2*x+1)/(x-1) lgdogf] A053367 5.76203 [{(-n-3)*a(n+3)+(9-n)*a(n+2)+(18+2*n)*a(n+1),a(0)=1,a(1)=11,a(2)=63} ogf] A053367 8.08798 [-(2*x+1)/(x-1)^9 ogf] A053368 10.1689 [-4*f(x)^2*x^2+f(x)^2*x-12*f(x)*x+3*f(x)-x-6 ogf] A053368 11.3082 [-3-6*x-2*x^2+((x^2+3*x+1)*(2*x+3)^2)^(1/2) revogf] A053368 4.63249 [{(-4*n^2-14*n-12)*a(n+1)+(-3*n^2-22*n-39)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=2,a(1)=7,a(2)=24} ogf] A053369 10.1655 [4*f(x)^2*x^2-f(x)^2*x+20*f(x)*x-5*f(x)+9*x+10 ogf] A053369 4.66152 [{(-12*n^2-42*n-36)*a(n+1)+(-n^2-14*n-33)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=2,a(1)=9,a(2)=32} ogf] A053369 9.13356 [-5/9-10/9*x-2/9*x^2+1/9*((x^2+5*x+1)*(2*x+5)^2)^(1/2) revogf] A053387 4.96423 [-x*(57*x^48-18*x^40+7*x^32-10*x^24-23*x^16-x^8-3)/(x-1)/(x+1)/(13*x^48-x^32-8*x^16-1) ogf] A053404 18.3205 [1/24/x*(-1-x+(1+2*x+49*x^2)^(1/2)) revogf] A053404 18.6944 [-1/(3*x+1)/(4*x-1) ogf] A053404 24.9159 [-(1+24*x)/(3*x+1)/(4*x-1) lgdogf] A053404 7.39082 [(181*f(x)-180)*(12*f(x)*x^2+f(x)*x-f(x)+1) ogf] A053404 7.65795 [{-a(n+2)+a(n+1)+12*a(n),a(0)=1,a(1)=1} ogf] A053410 11.5013 [-16*x/(x-1)/(x+1)/(x^2-10*x+1) ogf] A053410 12.3498 [-2*(5-15*x^2+2*x^3)/(x-1)/(x+1)/(x^2-10*x+1) lgdogf] A053410 5.11168 [-(495*f(x)-8)*(f(x)*x^4-10*f(x)*x^3+10*f(x)*x-f(x)+16*x) ogf] A053422 11.3479 [-x*(10*x^2-1)/(10*x-1)^2/(x-1)^2 ogf] A053422 17.4282 [-2*(11-30*x+100*x^3)/(x-1)/(10*x-1)/(-1+10*x^2) lgdogf] A053422 4.60222 [{(10*n^2+50*n+60)*a(n+1)+(-11*n^2-44*n-33)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=22} ogf] A053422 5.45 [-(874856862*f(x)-38518621)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2+10*x^3-22*f(x)*x+f(x)-x) ogf] A053428 17.1825 [1/40/x*(-1-x+(1+2*x+81*x^2)^(1/2)) revogf] A053428 17.5462 [-1/(4*x+1)/(5*x-1) ogf] A053428 23.3683 [-(1+40*x)/(1+4*x)/(5*x-1) lgdogf] A053428 6.93687 [(461*f(x)-460)*(20*f(x)*x^2+f(x)*x-f(x)+1) ogf] A053428 7.18760 [{-a(n+2)+a(n+1)+20*a(n),a(0)=1,a(1)=1} ogf] A053430 16.4404 [1/60/x*(-1-x+(1+2*x+121*x^2)^(1/2)) revogf] A053430 17.2821 [-1/(5*x+1)/(6*x-1) ogf] A053430 23.0166 [-(1+60*x)/(5*x+1)/(6*x-1) lgdogf] A053430 6.83247 [(991*f(x)-990)*(30*f(x)*x^2+f(x)*x-f(x)+1) ogf] A053430 7.07942 [{-a(n+2)+a(n+1)+30*a(n),a(0)=1,a(1)=1} ogf] A053436 6.29053 [-(x^6-x^5-4*x^4+2*x^3+4*x^2-x-2)/(x+1)^3/(x-1)^4 ogf] A053436 9.28516 [-(-3-7*x-x^6-7*x^5-x^4+4*x^2+x^7+6*x^3)/(x-1)/(x+1)/(x^6-x^5-4*x^4+2*x^3+4*x^2-x-2) lgdogf] A053438 13.1933 [(2*x^3+x+1)/(x+1)/(x-1)^2 ogf] A053438 17.9155 [-2*(1+2*x+4*x^2+x^3)/(x-1)/(x+1)/(2*x^3+x+1) lgdogf] A053438 6.09689 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A053438 6.87856 [-(32*f(x)+61)*(f(x)*x^3-f(x)*x^2-2*x^3-f(x)*x+f(x)-x-1) ogf] A053439 15.0196 [-2*(1+3*x+2*x^4+5*x^2+x^3)/(x-1)/(x+1)/(2*x^3+x+1) lgdogf] A053439 9.95723 [-(2*x^3+x+1)/(x+1)^2/(x-1)^3 ogf] A053441 11.5096 [-2*x*(x-1)*(x^2+x+1)*(3*x^4+6*x+4)/(x+1)/(x^2-x-1)/(2*x^3+1)/(x^3+2*x-1) lgdogf] A053441 13.7586 [(2*x^3+1)/(x+1)/(x^2-x-1)/(x^3+2*x-1) ogf] A053455 10.1930 [{-a(n+2)+2*a(n+1)+48*a(n),a(0)=0,a(1)=1} ogf] A053455 13.9305 [-48*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A053455 16.4569 [1/96/x*(-1-2*x+(1+4*x+196*x^2)^(1/2)) revogf] A053455 21.7466 [-2*(1+48*x)/(6*x+1)/(-1+8*x) lgdogf] A053455 21.9954 [-x/(6*x+1)/(8*x-1) ogf] A053464 16.1795 [x/(5*x-1)^2 ogf] A053464 23.2145 [4*x/(1+(1+20*x)^(1/2))^2 revogf] A053464 50.6497 [-10/(5*x-1) lgdogf] A053464 6.82266 [{a(n+2)-10*a(n+1)+25*a(n),a(0)=0,a(1)=1} ogf] A053464 9.2833 [-25*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A053469 17.2041 [1/(6*x-1)^2 ogf] A053469 24.5900 [4*x/(1+(1+24*x)^(1/2))^2 revogf] A053469 53.6508 [-12/(6*x-1) lgdogf] A053469 7.08402 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=1,a(1)=12} ogf] A053469 8.75795 [(5*f(x)+11)*(36*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A053481 11.8564 [-(11-23*x+6*x^2+8*x^3)/(x-1)/(-1+2*x)/(2*x^2+x-2) lgdegf] A053481 4.17272 [-(4066*f(x)-90863)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+2*x^2+f(x)+x-2) egf] A053481 8.34544 [-(2*x^2+x-2)/(2*x-1)^2/(x-1)^2 egf] A053482 10.7117 [52-91*x+26*x^2+(-1+18*x-20*x^2)*f(x)+(-3+9*x-6*x^2)*f(x)^2 lgdegf] A053482 3.10321 [{(2*n^2+10*n+12)*a(n+1)+(-2*n^2-17*n-33)*a(n+2)+(3*n+13)*a(n+3)-a(n+4),a(0)=1,a(1)=4,a(2)=21,a(3)=142} ogf] A053486 37.7879 [-4+3*x+(1-x)*f(x) lgdegf] A053486 4.84868 [{(-3*n-6)*a(n+1)+(n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=17} ogf] A053487 39.3997 [-5+4*x+(1-x)*f(x) lgdegf] A053487 5.05164 [{(-4*n-8)*a(n+1)+(n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=26} ogf] A053489 10.1822 [-n^2*a(n)+(3*n^2+6*n+3)*a(n+1)+(-6*n-4-2*n^2)*a(n+2),a(0)=0,a(1)=4 lgdegf] A053490 9.63341 [n^2*a(n)+(-3*n^2-6*n-3)*a(n+1)+(6*n+4+2*n^2)*a(n+2),a(0)=0,a(1)=6 lgdegf] A053491 9.47903 [2*n^2*a(n)+(-3*n^2-6*n-3)*a(n+1)+(3*n+2+n^2)*a(n+2),a(0)=0,a(1)=4 lgdegf] A053493 3.89661 [{(n^3+15*n^2+77*n+135)*a(n+1)+(6*n^2+48*n+102)*a(n+2)+(-n^3-9*n^2-29*n-33)*a(n+3),a(0)=1,a(1)=10,a(2)=56} ogf] A053493 6.87033 [-(x^4+4*x^3+10*x^2+4*x+1)/(x+1)/(x-1)^7 ogf] A053493 8.75242 [-2*(5+26*x+2*x^5+13*x^4+50*x^2+44*x^3)/(x-1)/(x+1)/(x^4+4*x^3+10*x^2+4*x+1) lgdogf] A053496 15.6139 [1+x+x^2+x^5+(-3-2*x-2*x^2-2*x^5)*f(x)+2*f(x)^2 lgdegf] A053497 12.7626 [a(n+7),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=1 lgdegf] A053498 5.77598 [(48-32*n+4*n^2)*a(n+1)+(-48-12*n+6*n^2)*a(n+3)+(7*n-84+7*n^2)*a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=1,a(4)=0,a(5)=0,a(6)=0,a(7)=1 lgdegf] A053499 11.0239 [-3-5*x^2-3*x^4+(6+5*x^2+3*x^4)*f(x)+(-3-3*x^4)*f(x)^2+x^4*f(x)^3 lgdegf] A053500 5.64165 [(-48*n+22*n^2-2*n^3)*a(n+1)+(12*n-84+21*n^2-3*n^3)*a(n+2),a(0)=1,a(1)=1,a(2)=0,a(3)=0,a(4)=1,a(5)=0,a(6)=0,a(7)=0,a(8)=0,a(9)=1 lgdegf] A053501 4.86850 [(x+55/x+165/x^7+330/x^3+11/x^9-462/x^4-55/x^8-330/x^6-165/x^2-1/x^10+462/x^5-3628811)*x^10/(x-1)^11 ogf_with_Euler_transform] A053501 8.12384 [a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=0,a(9)=0,a(10)=1 lgdegf] A053504 25.7587 [1+x+x^2+x^3+x^5+x^7+x^11 lgdegf] A053524 11.1833 [-12*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A053524 17.6578 [-x/(2*x+1)/(6*x-1) ogf] A053524 18.3775 [1/24/x*(-1-4*x+(1+8*x+64*x^2)^(1/2)) revogf] A053524 25.4457 [-4*(6*x+1)/(2*x+1)/(6*x-1) lgdogf] A053524 8.18287 [{-a(n+2)+4*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A053526 19.0889 [-5*(22-2*x+x^2)/(x-1)/(x^2-2*x+16) lgdogf] A053526 6.12287 [-x^4*(x^2-2*x+16)/(x-1)^7 ogf] A053527 4.71422 [x^4*(2*x^4-18*x^3+27*x^2-113*x-3)/(x-1)^9 ogf] A053527 9.76517 [-5*(-28-170*x+2*x^4+27*x^2-20*x^3)/(x-1)/(2*x^4-18*x^3+27*x^2-113*x-3) lgdogf] A053528 4.15960 [-3*x^5*(7*x^5-43*x^4+137*x^3-153*x^2+347*x+20)/(x-1)^11 ogf] A053528 8.87743 [-7*(81+452*x+6*x^5-38*x^4-138*x^2+132*x^3)/(x-1)/(7*x^5-43*x^4+137*x^3-153*x^2+347*x+20) lgdogf] A053529 4.39982 [(x^10-x^9-x^8+x^7+x^6+x^5-x^4-x^3+1)/(x+1)/(3*x^7+x^6-2*x^4-2*x^3+1)/(x-1)^2 egf] A053530 6.69883 [-a(n+1)*n+(-3-n+n^2)*a(n+2)+(7*n+3+2*n^2)*a(n+3)+(7*n+12+n^2)*a(n+4),a(0)=0,a(1)=1,a(2)=3/2,a(3)=2/3 lgdegf] A053531 5.55354 [(-60*n+35*n^2-5*n^3)*a(n)+(2*n+66-46*n^2+18*n^3)*a(n+1)+(50*n-48+11*n^2-13*n^3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1/6 lgdegf] A053532 38.5481 [x^3+(-2+2*x)*f(x) lgdegf] A053532 4.11533 [{(-2*n-10)*a(n+5)+(2*n+8)*a(n+4)+a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=1/8} egf] A053533 3.76984 [{(-2*n-12)*a(n+6)+(2*n+10)*a(n+5)+a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1/10} egf] A053533 38.3636 [x^4+(-2+2*x)*f(x) lgdegf] A053535 16.8006 [-1/(3*x+1)/(9*x-1) ogf] A053535 21.5171 [-6*(1+9*x)/(3*x+1)/(9*x-1) lgdogf] A053535 6.64211 [-(5*f(x)-3)*(27*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A053535 6.88218 [{-a(n+2)+6*a(n+1)+27*a(n),a(0)=1,a(1)=6} ogf] A053536 2.75436 [{-a(n+2)+8*a(n+1)+48*a(n),a(0)=1,a(1)=8} ogf] A053536 6.72388 [-1/(4*x+1)/(12*x-1) ogf] A053536 7.80972 [-8*(12*x+1)/(1+4*x)/(12*x-1) lgdogf] A053536 8.45224 [(61*f(x)-45)*(48*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A053537 5.75497 [-1/(5*x+1)/(15*x-1) ogf] A053537 6.61490 [-10*(1+15*x)/(5*x+1)/(15*x-1) lgdogf] A053537 8.00195 [(61*f(x)-45)*(75*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A053539 10.1167 [-64*f(x)*x^2+16*f(x)*x-f(x)+x ogf] A053539 17.6320 [x/(8*x-1)^2 ogf] A053539 25.3389 [4*x/(1+(1+32*x)^(1/2))^2 revogf] A053539 50.6778 [-16/(-1+8*x) lgdogf] A053539 7.43518 [{a(n+2)-16*a(n+1)+64*a(n),a(0)=0,a(1)=1} ogf] A053540 19.9430 [1/(9*x-1)^2 ogf] A053540 28.5843 [4*x/(1+(1+36*x)^(1/2))^2 revogf] A053540 62.3657 [-18/(9*x-1) lgdogf] A053540 8.21182 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=1,a(1)=18} ogf] A053540 8.30959 [(5*f(x)+11)*(81*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A053541 14.2448 [1/(10*x-1)^2 ogf] A053541 20.8949 [4*x/(1+(1+40*x)^(1/2))^2 revogf] A053541 38.5752 [-20/(-1+10*x) lgdogf] A053541 5.96292 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=1,a(1)=20} ogf] A053541 6.03308 [(5*f(x)+11)*(100*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A053545 11.5525 [x*(2*x^2-2*x+1)/(x-1)/(2*x-1)^3 ogf] A053545 16.4623 [-(-5+12*x-14*x^2+8*x^3)/(x-1)/(-1+2*x)/(2*x^2-2*x+1) lgdogf] A053545 6.18881 [-(58*f(x)+9)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-2*x^3-7*f(x)*x+2*x^2+f(x)-x) ogf] A053553 17.6018 [1/2*(-4-2*x+3*x^2+2*x^3)/(x-1)/(x+1) lgdegf] A053553 3.10590 [{(2*n+10)*a(n+5)-4*a(n+4)+(-8-2*n)*a(n+3)+3*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=5/2,a(3)=5/2,a(4)=17/8} egf] A053554 18.0381 [(-x^2+ln(x+1)*x+ln(x+1))/(x+1) revegf] A053565 15.1903 [(7*x-2)/(2*x-1)^2 ogf] A053565 21.8331 [(-1+2*x+(1+3*x)^(1/2))/(-7+4*x) revogf] A053565 25.0677 [-(-1+14*x)/(7*x-2)/(-1+2*x) lgdogf] A053565 7.51166 [-(24*f(x)+47)*(4*f(x)*x^2-4*f(x)*x+f(x)-7*x+2) ogf] A053565 8.33612 [{a(n+2)-4*a(n+1)+4*a(n),a(0)=-2,a(1)=-1} ogf] A053566 11.4234 [(11*x-2)/(3*x-1)^2 ogf] A053566 16.2280 [(-1+3*x+(1+5*x)^(1/2))/(-11+9*x) revogf] A053566 19.2331 [-(-1+33*x)/(11*x-2)/(3*x-1) lgdogf] A053566 5.59018 [-(270*f(x)+539)*(9*f(x)*x^2-6*f(x)*x+f(x)-11*x+2) ogf] A053566 6.40826 [{a(n+2)-6*a(n+1)+9*a(n),a(0)=-2,a(1)=-1} ogf] A053567 4.30760 [-(x^4-52*x^3+328*x^2-444*x+120)/(x+1)^11 ogf] A053567 7.83169 [-7*(252-728*x+x^4+444*x^2-60*x^3)/(x+1)/(x^4-52*x^3+328*x^2-444*x+120) lgdogf] A053573 16.9506 [1/28/x*(-1-5*x+(1+10*x+81*x^2)^(1/2)) revogf] A053573 18.8044 [-1/(2*x+1)/(7*x-1) ogf] A053573 25.0868 [-(5+28*x)/(2*x+1)/(7*x-1) lgdogf] A053573 7.26534 [-(53*f(x)-28)*(14*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A053573 7.70300 [{-a(n+2)+5*a(n+1)+14*a(n),a(0)=1,a(1)=5} ogf] A053581 10.4336 [(x-1)^2/(3*x-1)/(2*x-1) ogf] A053581 17.4280 [(-3+7*x)/(x-1)/(3*x-1)/(-1+2*x) lgdogf] A053581 5.36875 [{-a(n+3)+5*a(n+2)-6*a(n+1),a(0)=1,a(1)=3,a(2)=10} ogf] A053581 5.94604 [(4+5*f(x))*(6*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A053599 13.1227 [-(x+1)/(2*x^2-1)/(x-1)^2 ogf] A053599 18.2728 [-(-3-5*x+6*x^2+6*x^3)/(x-1)/(x+1)/(2*x^2-1) lgdogf] A053599 4.02255 [{(4*n+18)*a(n+1)+(-4*n-14)*a(n+2)+(-2*n-9)*a(n+3)+(2*n+7)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=13} ogf] A053599 6.50802 [(20*f(x)-31)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A053602 10.6421 [f(x)*x^4+f(x)*x^2+x^3+x^2-f(x)+x ogf] A053602 13.0846 [-x*(x^2+x+1)/(x^4+x^2-1) ogf] A053602 15.1224 [-(1+4*x+2*x^5+3*x^4+x^2+4*x^3)/(x^2+x+1)/(x^4+x^2-1) lgdogf] A053606 13.1604 [-8*x/(x-1)/(x^2-18*x+1) ogf] A053606 17.4248 [-(19-38*x+3*x^2)/(x-1)/(x^2-18*x+1) lgdogf] A053606 5.37860 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=152} ogf] A053606 7.82961 [f(x)*x^3-19*f(x)*x^2+19*f(x)*x-f(x)+8*x ogf] A053618 5.53503 [x^3*(x^2-x+1)*(x^4+x^2-x+1)/(x^4+1)/(x^2+1)/(x+1)/(x-1)^4 ogf] A053618 5.54730 [-(-10*x^10+14*x^11+27*x^9+3*x+5*x^13-3*x^12+6*x^6+9*x^5+x^4-11*x^8+8*x^3+14*x^7+1)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4+x^2-x+1)/(1+x^4) lgdogf] A053625 4.33653 [{(-4+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=720} ogf] A053625 8.35958 [-720*x^6/(x-1)^7 ogf] A053625 87.5809 [-7/(x-1) lgdogf] A053654 14.6504 [123456789/(x-1)^2 ogf] A053654 6.12924 [{-a(n+2)+2*a(n+1)-a(n),a(0)=123456789,a(1)=246913578} ogf] A053654 73.6110 [-2/(x-1) lgdogf] A053654 8.96516 [-f(x)*x^2+2*f(x)*x-f(x)+123456789 ogf] A053655 5.88532 [-(11100*x^2-110*x-1)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A053692 9.86809 [-(-2*x^4-x^3-1)/(x^5+x^4+x+1) ogf_with_Euler_transform] A053692 99.9999 Evaluated at exp(-Pi) 1/32*exp(5/8*Pi)/Pi^(1/2)*2^(7/8)/GAMMA(7/8)^2*GAMMA(5/8)^2*(2+2^(1/2))*(2-2^(1/2))^(1/2) A053693 7.17263 [-(4*x^12+3*x^11+3*x^8+2*x^7+2*x^4+x^3+1)/(-x^13-x^12-x^9-x^8-x^5-x^4-x-1) ogf_with_Euler_transform] A053694 99.9999 Evaluated at exp(-Pi) 2/25*exp(Pi)*Pi^(1/2)/GAMMA(3/4)^2*(5+5^(1/2))^2*(1/4*5^(1/2)-1/4)^4 A053697 6.12216 [(10*x^8-10*x^6+10*x^5-x^4+2*x^3+7*x^2+2*x+1)/(x-1)/(x+1)/(10*x^3-1) ogf] A053698 11.5774 [(5*x^2+1)/(x-1)^4 ogf] A053698 23.0555 [-2*(2+5*x+5*x^2)/(x-1)/(5*x^2+1) lgdogf] A053698 3.93996 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+5*n*a(n+2)+(-15-5*n)*a(n+1),a(0)=1,a(1)=4,a(2)=15,a(3)=40} ogf] A053698 5.83358 [(297*f(x)+646)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-1) ogf] A053699 13.0606 [-(5+32*x+x^4+66*x^2+16*x^3)/(x-1)/(x^4+6*x^3+16*x^2+1) lgdogf] A053699 7.81932 [-(x^4+6*x^3+16*x^2+1)/(x-1)^5 ogf] A053700 6.35488 [-(x^5-6*x^4-6*x^3-76*x^2-27*x-6)/(x-1)^6 ogf] A053700 9.47801 [-(-63-287*x+x^5-7*x^4-322*x^2-42*x^3)/(x-1)/(x^5-6*x^4-6*x^3-76*x^2-27*x-6) lgdogf] A053715 11.6225 [-x*(9*x^4-18*x^2-11*x-1)/(x-1)^2/(x+1)^2 ogf] A053715 16.2624 [(11+40*x+33*x^2)/(x-1)/(x+1)/(9*x^4-18*x^2-11*x-1) lgdogf] A053716 5.55367 [-(x^6-6*x^5+57*x^4+232*x^3+351*x^2+78*x+7)/(x-1)^7 ogf] A053716 7.59192 [-(127+1170*x+x^6-6*x^5+141*x^4+2451*x^2+1156*x^3)/(x-1)/(x^6-6*x^5+57*x^4+232*x^3+351*x^2+78*x+7) lgdogf] A053717 4.72218 [-(x^7-8*x^6-57*x^5-1016*x^4-2297*x^3-1464*x^2-191*x-8)/(x-1)^8 ogf] A053717 6.05845 [-(-255-4265*x-9*x^6-219*x^5-4349*x^4-15675*x^2+x^7-15549*x^3)/(x-1)/(x^7-8*x^6-57*x^5-1016*x^4-2297*x^3-1464*x^2-191*x-8) lgdogf] A053723 11.6081 [-(4*x^3+3*x^2+2*x+1)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A053724 7.71111 [-(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A053730 10.7490 [-(6*x^2-4*x+1)/(2*x-1)^3 ogf] A053730 16.7464 [-2*(1-2*x+6*x^2)/(-1+2*x)/(6*x^2-4*x+1) lgdogf] A053730 5.74518 [-(2*f(x)+3)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A053730 5.89770 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A053738 8.36856 [2*(2-x-656*x^21+16*x^6-36*x^5+20*x^4+336*x^20+320*x^22)/(x-1)/(32*x^22-32*x^21+8*x^6-8*x^5+2*x^2-2*x-1) lgdogf] A053738 9.87393 [-(32*x^22-32*x^21+8*x^6-8*x^5+2*x^2-2*x-1)/(x-1)^2 ogf] A053739 17.9509 [-(-6+4*x+7*x^2)/(x-1)/(x^2+x-1) lgdogf] A053739 7.59741 [1/(x^2+x-1)/(x-1)^5 ogf] A053741 17.1881 [10*(3*x+2)/(x-1)^2 ogf] A053741 24.7665 [-(-10-x+5*(2*x+4)^(1/2))/(-30+x) revogf] A053741 36.0240 [-(3*x+7)/(3*x+2)/(x-1) lgdogf] A053741 8.8774 [(19*f(x)+2021)*(f(x)*x^2-2*f(x)*x+f(x)-30*x-20) ogf] A053741 9.61718 [{-a(n+2)+2*a(n+1)-a(n),a(0)=20,a(1)=70} ogf] A053742 17.1881 [25*(x+1)/(x-1)^2 ogf] A053742 20.3212 [-1/2*(-25-2*x+5*(25+8*x)^(1/2))/(-25+x) revogf] A053742 38.2479 [[3-x] ogf_with_Euler_transform] A053742 44.0294 [-(x+3)/(x-1)/(x+1) lgdogf] A053742 8.8774 [(16*f(x)+1625)*(f(x)*x^2-2*f(x)*x+f(x)-25*x-25) ogf] A053742 9.61718 [{-a(n+2)+2*a(n+1)-a(n),a(0)=25,a(1)=75} ogf] A053743 17.0691 [5*(11*x+9)/(x-1)^2 ogf] A053743 19.6778 [-1/2*(-45-2*x+5*(81+16*x)^(1/2))/(-55+x) revogf] A053743 31.4845 [-(29+11*x)/(11*x+9)/(x-1) lgdogf] A053743 9.01402 [(8*f(x)+481)*(f(x)*x^2-2*f(x)*x+f(x)-55*x-45) ogf] A053743 9.43821 [{-a(n+2)+2*a(n+1)-a(n),a(0)=45,a(1)=145} ogf] A053755 12.0235 [-(5*x^2+2*x+1)/(x-1)^3 ogf] A053755 20.5254 [-(5*x^2+14*x+5)/(x-1)/(5*x^2+2*x+1) lgdogf] A053755 6.43363 [(88*f(x)-205)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+2*x+1) ogf] A053755 6.49057 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=17} ogf] A053776 13.1366 [(f(x)*x-f(x)+1)^2 ogf] A053793 12.3431 [-x*(2*x^4+6*x^3+5*x^2+6*x+2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A053793 8.45807 [-(6+6*x^10+24*x^9+10*x+14*x^6+18*x^2+25*x^8+36*x^7+8*x^3)/(x-1)/(2*x^4+6*x^3+5*x^2+6*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A053794 7.88370 [-(3+3*x^10+6*x^9-2*x-6*x^6+4*x^5-2*x^4+7*x^2-5*x^8+16*x^7)/(x-1)/(x^2+1)/(x^4+1)/(x^4+2*x^3+2*x+1) lgdogf] A053794 8.18297 [-2*x*(x^4+2*x^3+2*x+1)/(x-1)/(x^4+1)/(x^2+1) ogf] A053796 15.0156 [-x*(2*x^2+x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A053796 15.4393 [-(1+4*x+6*x^6+4*x^5+10*x^4)/(x-1)/(2*x^2+x+2)/(x^4+x^3+x^2+x+1) lgdogf] A053798 11.7844 [-2*(x+1)*(x^6+3*x^4-2*x^3+3*x^2+1)/(x-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A053798 16.5792 [-x^7-x^5+x^3+2*x^2+x+2 ogf_with_Euler_transform] A053798 7.49379 [(x^2-x+1)*(x^4+1)/(x^2+x+1)/(x-1)^4 ogf] A053799 10.2834 [-2*(1+2*x+x^6+2*x^5+5*x^4+5*x^2+2*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A053799 19.8510 [-x^5-x^3+2*x^2+x+2 ogf_with_Euler_transform] A053799 9.18997 [-(x+1)*(x^2+1)*(x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A053800 4.61268 [-(x+1)*(x^4-x^3+x^2-x+1)*(x^2-x+1)*(x^4+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A053805 32.1950 [[25-12*x] ogf_with_Euler_transform] A053805 38.7960 [-(25+x)/(x-1)/(x+1) lgdogf] A053805 5.43478 [{(-n-3)*a(n+3)+25*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=25,a(2)=313} ogf] A053808 11.4905 [(x+1)/(x^2+x-1)/(x-1)^3 ogf] A053808 19.9647 [-(-5+7*x^2+4*x^3)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A053809 16.8177 [-(-6+9*x^2+5*x^3)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A053809 8.69647 [-(x+1)/(x^2+x-1)/(x-1)^4 ogf] A053831 6.96620 [-x*(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A053832 6.51020 [-x*(10*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A053833 6.07941 [-x*(11*x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A053834 5.75181 [-x*(12*x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A053835 5.44730 [-x*(13*x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A053836 5.13474 [-x*(14*x^15-x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A053871 22.5740 [-2*x*f(x)+(1-2*x)*f(x)^2 lgdegf] A053871 4.13992 [{(2*n+4)*a(n+1)+(2*n+4)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A053879 11.9673 [-x*(x+1)*(x^4+3*x^3-x^2+3*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A053879 7.59904 [-(4+4*x+5*x^4+16*x^3+2*x^11+10*x^8+6*x^2+7*x^6+12*x^10+8*x^9+24*x^7)/(x-1)/(x+1)/(x^4+3*x^3-x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A053983 6.08904 [{-a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A053984 6.19313 [{a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A053987 5.63622 [{a(n+1)+(-4*n-14)*a(n+2)+a(n+3),a(0)=1,a(1)=6,a(2)=59} ogf] A053993 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)/Pi^(7/12)*GAMMA(2/3)^(2/3)*GAMMA(3/4)^(1/3)/(2^(1/2)*(3^(1/2)-1))^(2/3)*GAMMA(7/12)^(2/3)*6^(1/4) A054000 13.9146 [2*x*(x-3)/(x-1)^3 ogf] A054000 39.0790 [-2*(x-4)/(x-1)/(x-3) lgdogf] A054000 7.08153 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=16} ogf] A054000 7.27643 [(18*f(x)-95)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+6*x) ogf] A054027 11.2772 [-(x^26-x^25+x^5-x^4+x-2)/(x-1)^2 ogf] A054027 11.3487 [(3-x+3*x^5-7*x^4+24*x^26-49*x^25+25*x^24+4*x^3)/(x-1)/(x^26-x^25+x^5-x^4+x-2) lgdogf] A054091 3.43631 [{(-n^2-n)*a(n)+(-n-1)*a(n+1)+(n^2+5*n+8)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A054092 4.29564 [{a(n)*n-2*a(n+1)+(-n-1)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A054096 4.00834 [{-a(n)*n+(n+3)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A054100 3.09694 [{-a(n)*n+2*a(n+1)+(n+1)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=2,a(3)=4} ogf] A054107 6.69178 [(x^2-x+1)*(x^4-2*x^3+x^2+1)/(x-1)^4 ogf] A054107 9.18077 [(-3-x-13*x^3+5*x^2+15*x^4-9*x^5+2*x^6)/(x-1)/(x^2-x+1)/(x^4-2*x^3+x^2+1) lgdogf] A054108 3.92352 [-4*f(x)^2*x^4-7*x^3*f(x)^2-2*f(x)^2*x^2-8*f(x)*x^3+f(x)^2*x-14*f(x)*x^2-4*f(x)*x-4*x^2+2*f(x)-7*x-2 ogf] A054109 4.01438 [{(-4*n-14)*a(n+1)+(-3*n-10)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A054109 4.65791 [-4*f(x)^2*x^4-7*x^3*f(x)^2-2*f(x)^2*x^2+f(x)^2*x-4*f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A054111 4.88443 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=18} ogf] A054111 5.19703 [-(1979*f(x)-1342)*(2*f(x)*x^3-f(x)*x^2-4*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A054111 9.93788 [-2*(-1-3*x-x^2+8*x^3+4*x^4)/(x-1)/(-1+2*x)/(x+1)/(4*x^3+2*x^2+1) lgdogf] A054111 9.99429 [(4*x^3+2*x^2+1)/(x-1)/(2*x-1)/(x+1) ogf] A054112 6.62690 [-(x^7-2*x^6+x^4-x^3+6*x^2-6*x-1)/(x-1)^4 ogf] A054112 8.39444 [(10+6*x-11*x^6+12*x^5-3*x^3+3*x^7-9*x^2)/(x-1)/(x^7-2*x^6+x^4-x^3+6*x^2-6*x-1) lgdogf] A054113 4.11277 [{(-4*n-10)*a(n+1)+(5*n+13)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=17} ogf] A054113 4.76708 [-4*x^3*f(x)^2+9*f(x)^2*x^2-6*f(x)^2*x+8*f(x)*x^2+f(x)^2-10*f(x)*x+2*f(x)-4*x-3 ogf] A054114 3.92301 [-4*f(x)^2*x^4+9*x^3*f(x)^2-8*f(x)*x^4-6*f(x)^2*x^2+18*f(x)*x^3-4*x^4+f(x)^2*x-4*f(x)*x^2+9*x^3-8*f(x)*x+2*x^2+2*f(x)-9*x-2 ogf] A054121 16.0449 [-3*(3+5*x+4*x^2)/(x-1)/(1+2*x)/(x^2+x+1) lgdogf] A054121 4.43178 [(11+654*f(x))*(f(x)*x^4-4*f(x)*x^3-4*x^4+6*f(x)*x^2-8*x^3-4*f(x)*x-9*x^2+f(x)-5*x-1) ogf] A054121 7.71651 [(x^2+x+1)*(2*x+1)^2/(x-1)^4 ogf] A054122 24.6467 [-3/(x-1)/(4*x^2-8*x+1) lgdogf] A054122 3.22215 [{(n+3)*a(n+3)+(-21-9*n)*a(n+2)+(12*n+12)*a(n+1)-4*n*a(n),a(0)=1,a(1)=3,a(2)=18} ogf] A054122 7.38947 [-4*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+x^2-2*x+1 ogf] A054127 12.8378 [(-5+9*x+x^3-3*x^2)/(x-1)/(x-2)/(2*x-1)/(x^2-x+1) lgdogf] A054127 4.69914 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=2,a(1)=5,a(2)=13,a(3)=30} ogf] A054127 5.11938 [(-375+406*f(x))*(2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+2) ogf] A054127 9.12587 [(x-2)*(x^2-x+1)/(2*x-1)/(x-1)^2 ogf] A054128 6.02970 [(x-2)*(x^4-3*x^3+4*x^2-2*x+1)/(2*x-1)/(x-1)^4 ogf] A054128 7.94602 [(-7+15*x+x^5-10*x^2+10*x^3-5*x^4)/(x-1)/(x-2)/(-1+2*x)/(x^4-3*x^3+4*x^2-2*x+1) lgdogf] A054129 4.19882 [(x-2)*(x^6-5*x^5+11*x^4-13*x^3+9*x^2-3*x+1)/(2*x-1)/(x-1)^6 ogf] A054129 5.55428 [(-9+21*x+x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2)/(x-1)/(x-2)/(2*x-1)/(x^6-5*x^5+11*x^4-13*x^3+9*x^2-3*x+1) lgdogf] A054130 3.65456 [{(2*n^2+18*n)*a(n)+(-5*n^2-37*n-40)*a(n+1)+(4*n^2+24*n+32)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=2,a(1)=11,a(2)=58} ogf] A054130 4.16817 [(x-2)*(x^2-x+1)*(x^6-6*x^5+15*x^4-19*x^3+12*x^2-3*x+1)/(2*x-1)/(x-1)^8 ogf] A054130 5.65405 [(-11+27*x+x^9-36*x^2+84*x^3-126*x^4+126*x^5-84*x^6+36*x^7-9*x^8)/(-1+x)/(x-2)/(2*x-1)/(x^2-x+1)/(x^6-6*x^5+15*x^4-19*x^3+12*x^2-3*x+1) lgdogf] A054135 12.2572 [(x^2-2*x+2)/(2*x-1)/(x-1) ogf] A054135 16.7375 [(4-6*x+x^2)/(-1+2*x)/(x-1)/(x^2-2*x+2) lgdogf] A054135 6.36891 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=2,a(1)=4,a(2)=9} ogf] A054135 9.1497 [-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+2 ogf] A054136 10.3735 [(6-12*x+6*x^2-4*x^3+x^4)/(x-1)/(2*x-1)/(x^4-4*x^3+6*x^2-4*x+2) lgdogf] A054136 4.34849 [(1046+2095*f(x))*(2*f(x)*x^4-7*f(x)*x^3-x^4+9*f(x)*x^2+4*x^3-5*f(x)*x-6*x^2+f(x)+4*x-2) ogf] A054136 7.72499 [(x^4-4*x^3+6*x^2-4*x+2)/(2*x-1)/(x-1)^3 ogf] A054137 4.94376 [(x^2-2*x+2)*(x^4-4*x^3+5*x^2-2*x+1)/(2*x-1)/(x-1)^5 ogf] A054137 6.73981 [(8-18*x+x^6-6*x^5-20*x^3+15*x^4+15*x^2)/(x-1)/(2*x-1)/(x^2-2*x+2)/(x^4-4*x^3+5*x^2-2*x+1) lgdogf] A054138 3.80449 [(x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+2)/(2*x-1)/(x-1)^7 ogf] A054145 17.4793 [-2*(3-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A054145 3.20999 [{(n+3)*a(n+4)+(-16-5*n)*a(n+3)+(14+6*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=12,a(3)=58} ogf] A054145 4.46705 [-(688*f(x)+143)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-2*x^3-8*f(x)*x+4*x^2+f(x)-2*x) ogf] A054145 8.51717 [2*x*(x-1)^2/(2*x^2-4*x+1)^2 ogf] A054146 16.7730 [-2*(3-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A054146 4.25947 [-(1376*f(x)+143)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-x^3-8*f(x)*x+2*x^2+f(x)-x) ogf] A054146 8.17819 [x*(x-1)^2/(2*x^2-4*x+1)^2 ogf] A054147 17.0212 [-(7-12*x+6*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A054147 4.51605 [-(128*f(x)+21)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-8*f(x)*x+3*x^2+f(x)-3*x) ogf] A054147 9.03209 [-3*x*(x-1)/(2*x^2-4*x+1)^2 ogf] A054148 10.0973 [(5-4*x-6*x^2+8*x^3)/(x-1)/(2*x^3-6*x^2+2*x-1)/(2*x^2-4*x+1) lgdogf] A054148 4.05524 [(-92+159*f(x))*(4*f(x)*x^4-16*f(x)*x^3-2*x^4+20*f(x)*x^2+8*x^3-8*f(x)*x-8*x^2+f(x)+3*x-1) ogf] A054148 6.99178 [(x-1)*(2*x^3-6*x^2+2*x-1)/(2*x^2-4*x+1)^2 ogf] A054149 4.07846 [(12624*f(x)+29)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-2*x^3-8*f(x)*x+8*x^2+f(x)-6*x-1) ogf] A054149 7.43415 [(2*x^3-8*x^2+6*x+1)/(2*x^2-4*x+1)^2 ogf] A054149 9.42514 [-2*(-7+15*x^2-12*x^3+2*x^4)/(2*x^2-4*x+1)/(2*x^3-8*x^2+6*x+1) lgdogf] A054254 12.6618 [(2+2*x-4*x^2+8*x^3-7*x^4+2*x^5)/(x-1)/(x^2-x+1)/(x^3-x^2-1) lgdogf] A054254 8.52633 [x*(x^2-x+1)*(x^3-x^2-1)/(x-1)^3 ogf] A054274 7.66775 [-(x^5+2*x^4+x^3+x^2+2*x+1)/(-x^7-x^6-x^5+x^2+x+1) ogf_with_Euler_transform] A054275 10.6904 [-(x^4+6*x^3+8*x^2+6*x+1)/(x+1)/(x-1)^3 ogf] A054275 11.1679 [-4*(2+8*x+13*x^2+8*x^3+2*x^4)/(x-1)/(x+1)/(x^4+6*x^3+8*x^2+6*x+1) lgdogf] A054275 6.48156 [(f(x)+7)*(f(x)*x^4-2*f(x)*x^3+x^4+6*x^3+2*f(x)*x+8*x^2-f(x)+6*x+1) ogf] A054318 4.96714 [(218*f(x)+7)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+x^2-f(x)-6*x+1) ogf] A054318 4.96714 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=45} ogf] A054318 9.06700 [-(x^2-6*x+1)/(x-1)/(x^2-10*x+1) ogf] A054318 9.64558 [-(5-20*x+58*x^2-12*x^3+x^4)/(x-1)/(x^2-10*x+1)/(x^2-6*x+1) lgdogf] A054320 13.0580 [(x+1)/(x^2-10*x+1) ogf] A054320 14.0211 [-1/2*(-1-10*x+(1+24*x+96*x^2)^(1/2))/(x-1) revogf] A054320 17.8451 [-(-11+2*x+x^2)/(1+x)/(x^2-10*x+1) lgdogf] A054320 6.74905 [(108*f(x)+13)*(f(x)*x^2-10*f(x)*x+f(x)-x-1) ogf] A054320 7.15079 [{-a(n+2)+10*a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A054322 20.1749 [-4*(5+12*x)/(4*x-1)/(4*x+1) lgdogf] A054322 3.97499 [{(-n-3)*a(n+3)+20*a(n+2)+(64+16*n)*a(n+1),a(0)=4,a(1)=80,a(2)=896} ogf] A054322 4.15298 [(1312*f(x)+7423)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+f(x)-16*x-4) ogf] A054322 8.18381 [4*(4*x+1)/(4*x-1)^4 ogf] A054323 13.0864 [-4*(35+168*x+48*x^2)/(-1+4*x)/(16*x^2+40*x+5) lgdogf] A054323 6.67407 [-(16*x^2+40*x+5)/(4*x-1)^5 ogf] A054324 12.3965 [-16*(7+56*x+48*x^2)/(12*x+1)/(4*x+3)/(-1+4*x) lgdogf] A054324 5.58238 [2*(4*x+3)*(12*x+1)/(4*x-1)^6 ogf] A054325 4.71108 [-(64*x^3+336*x^2+140*x+7)/(4*x-1)^7 ogf] A054325 4.74847 [{(-8*n^2-84*n-220)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=7,a(1)=336} ogf] A054325 9.31341 [-16*(21+252*x+432*x^2+64*x^3)/(-1+4*x)/(64*x^3+336*x^2+140*x+7) lgdogf] A054326 3.90309 [8*(4*x+1)*(16*x^2+24*x+1)/(4*x-1)^8 ogf] A054326 4.42970 [{(8*n^2+92*n+264)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=8,a(1)=480} ogf] A054326 8.81951 [-4*(15+252*x+720*x^2+320*x^3)/(4*x+1)/(-1+4*x)/(16*x^2+24*x+1) lgdogf] A054327 3.99515 [{(8*n^2+100*n+312)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=9,a(1)=660} ogf] A054327 5.77086 [-4*(165+3696*x+1280*x^4+14080*x^3+15840*x^2)/(4*x+3)/(-1+4*x)/(64*x^3+528*x^2+108*x+3) lgdogf] A054328 4.18055 [{(8*n^2+108*n+364)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=10,a(1)=880} ogf] A054328 6.31349 [-8*(55+1584*x+9504*x^2+14080*x^3+3840*x^4)/(-1+4*x)/(16*x^2+40*x+5)/(80*x^2+40*x+1) lgdogf] A054329 20.5421 [-4*(5+12*x)/(-1+4*x)/(4*x+1) lgdogf] A054329 4.19402 [{(-n-3)*a(n+3)+20*a(n+2)+(64+16*n)*a(n+1),a(0)=1,a(1)=20,a(2)=224} ogf] A054329 4.41476 [(5248*f(x)+7423)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+f(x)-4*x-1) ogf] A054329 8.76363 [(4*x+1)/(4*x-1)^4 ogf] A054330 12.1396 [-16*(7+56*x+48*x^2)/(12*x+1)/(4*x+3)/(-1+4*x) lgdogf] A054330 5.46903 [(4*x+3)*(12*x+1)/(4*x-1)^6 ogf] A054331 4.12031 [(4*x+1)*(16*x^2+24*x+1)/(4*x-1)^8 ogf] A054331 4.64771 [{(8*n^2+92*n+264)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=1,a(1)=60} ogf] A054331 9.33447 [-4*(15+252*x+320*x^3+720*x^2)/(4*x+1)/(4*x-1)/(16*x^2+24*x+1) lgdogf] A054332 4.08247 [{(8*n^2+108*n+364)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=5,a(1)=440} ogf] A054332 6.11306 [-8*(55+1584*x+14080*x^3+3840*x^4+9504*x^2)/(-1+4*x)/(16*x^2+40*x+5)/(80*x^2+40*x+1) lgdogf] A054333 29.6625 [[11-x] ogf_with_Euler_transform] A054333 30.7832 [-(11+9*x)/(x-1)/(x+1) lgdogf] A054333 4.78099 [{(-n-3)*a(n+3)+11*a(n+2)+(10+n)*a(n+1),a(0)=1,a(1)=11,a(2)=65} ogf] A054333 5.32077 [(x+1)/(x-1)^10 ogf] A054334 34.7850 [-2*(6+5*x)/(x-1)/(x+1) lgdogf] A054334 35.0505 [[12-x] ogf_with_Euler_transform] A054334 5.64402 [{(-n-3)*a(n+3)+12*a(n+2)+(11+n)*a(n+1),a(0)=1,a(1)=12,a(2)=77} ogf] A054334 5.76944 [-(x+1)/(x-1)^11 ogf] A054337 47.6018 [-28/(-1+4*x) lgdogf] A054337 5.49999 [{(-n-2)*a(n+2)+(32+4*n)*a(n+1),a(0)=1,a(1)=28} ogf] A054337 6.47777 [-1/(4*x-1)^7 ogf] A054338 48.8286 [-32/(-1+4*x) lgdogf] A054338 5.48368 [1/(4*x-1)^8 ogf] A054338 5.63888 [{(-n-2)*a(n+2)+(36+4*n)*a(n+1),a(0)=1,a(1)=32} ogf] A054339 5.20184 [-1/(4*x-1)^9 ogf] A054339 5.88888 [{(-n-2)*a(n+2)+(40+4*n)*a(n+1),a(0)=1,a(1)=36} ogf] A054339 51.0370 [-36/(-1+4*x) lgdogf] A054340 34.8651 [-40+(1-4*x)*f(x) lgdogf] A054340 5.37173 [{(-n-2)*a(n+2)+(44+4*n)*a(n+1),a(0)=1,a(1)=40} ogf] A054341 29.7201 [x*(1+2*x)/(1+4*x+5*x^2) revogf] A054341 3.45065 [{(-20*n-40)*a(n+1)+(8*n+16)*a(n+2)+(5*n+25)*a(n+3)+(-2*n-10)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A054341 9.05234 [-5*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A054343 6.08767 [-(3+7*x+22*x^9+34*x^8+41*x^7+33*x^6+91*x^5+3*x^4+47*x^3+7*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^6+2*x^5+x^4+4*x^2-2*x+1) lgdogf] A054389 4.96034 [(x^8+16*x^7+64*x^6+144*x^5+166*x^4+144*x^3+64*x^2+16*x+1)/(x+1)^2/(x-1)^6 ogf] A054391 5.3417 [x^3*f(x)^2-3*f(x)^2*x^2+4*f(x)^2*x+3*f(x)*x^2-f(x)^2-7*f(x)*x+2*f(x)+3*x-1 ogf] A054392 3.94323 [7*x^3*f(x)^2-11*f(x)^2*x^2-5*f(x)*x^3+6*f(x)^2*x+13*f(x)*x^2+x^3-f(x)^2-10*f(x)*x-3*x^2+2*f(x)+4*x-1 ogf] A054401 10.5906 [4*x*(5*x-2)/(x-1)/(4*x-1)/(5*x-1) ogf] A054401 10.7924 [-(-15+116*x+200*x^3-265*x^2)/(x-1)/(-1+4*x)/(5*x-2)/(5*x-1) lgdogf] A054401 5.29531 [-(5949*f(x)-18860)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x-20*x^2-f(x)+8*x) ogf] A054401 5.61763 [{-a(n+3)+10*a(n+2)-29*a(n+1)+20*a(n),a(0)=0,a(1)=8,a(2)=60} ogf] A054403 6.69882 [(4*x^11+5*x^9+2*x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+2*x^2+x+2)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A054404 8.42539 [x*(x^17+x^14+x^11+x^9+x^6+x^3+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A054405 13.4697 [(x+1)/(x-1)/(x^3+x^2-1) ogf] A054405 14.2642 [-(-2-2*x-x^2+4*x^3+3*x^4)/(x-1)/(x+1)/(x^3+x^2-1) lgdogf] A054405 6.86437 [(3*f(x)-11)*(f(x)*x^4-f(x)*x^2-f(x)*x+f(x)-x-1) ogf] A054410 13.5227 [-4*(1+x)*(3*x^2+8*x+3)/(x-1)/(x^4+8*x^3+10*x^2+8*x+1) lgdogf] A054410 5.25161 [(385*f(x)+1179)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-8*x^3-4*f(x)*x-10*x^2+f(x)-8*x-1) ogf] A054410 9.22087 [(x^4+8*x^3+10*x^2+8*x+1)/(x-1)^4 ogf] A054413 19.6624 [1/2/x*(-1-7*x+(1+14*x+53*x^2)^(1/2)) revogf] A054413 21.8246 [-1/(x^2+7*x-1) ogf] A054413 35.3924 [-(2*x+7)/(x^2-1+7*x) lgdogf] A054413 8.37457 [-(51*f(x)-2)*(f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A054413 8.78307 [{-a(n+2)+7*a(n+1)+a(n),a(0)=1,a(1)=7} ogf] A054417 4.81366 [(2017*f(x)-1335)*(5*f(x)*x^3-3*f(x)*x^2+7*f(x)*x+5*x^2-f(x)-2*x+1) ogf] A054417 4.98404 [{a(n+3)-7*a(n+2)+3*a(n+1)-5*a(n),a(0)=1,a(1)=5,a(2)=37} ogf] A054417 9.03630 [-(x-1)*(25*x^3+5*x^2-9*x-5)/(5*x^2-2*x+1)/(5*x^3-3*x^2+7*x-1) lgdogf] A054417 9.23274 [-(5*x^2-2*x+1)/(5*x^3-3*x^2+7*x-1) ogf] A054418 10.7959 [-(x+1)/(5*x^3-3*x^2+7*x-1) ogf] A054418 11.6709 [-2*(4-3*x+6*x^2+5*x^3)/(x+1)/(5*x^3-3*x^2+7*x-1) lgdogf] A054418 5.06358 [{a(n+3)-7*a(n+2)+3*a(n+1)-5*a(n),a(0)=1,a(1)=8,a(2)=53} ogf] A054418 5.2494 [(8212*f(x)-1905)*(5*f(x)*x^3-3*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A054419 10.5113 [-(5*x^2+3)/(5*x^3-3*x^2+7*x-1) ogf] A054419 11.0785 [-(21-8*x+25*x^4+10*x^2)/(5*x^2+3)/(5*x^3-3*x^2+7*x-1) lgdogf] A054419 5.12091 [-(1686*f(x)+5515)*(5*f(x)*x^3-3*f(x)*x^2+7*f(x)*x+5*x^2-f(x)+3) ogf] A054419 5.20997 [{a(n+3)-7*a(n+2)+3*a(n+1)-5*a(n),a(0)=3,a(1)=21,a(2)=143} ogf] A054420 5.28785 [(82*f(x)-335)*(5*f(x)*x^3-3*f(x)*x^2+7*f(x)*x-5*x^2-f(x)-4*x+1) ogf] A054420 5.33465 [{a(n+3)-7*a(n+2)+3*a(n+1)-5*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A054420 9.08672 [-(-3+16*x-62*x^2+40*x^3+25*x^4)/(5*x-1)/(x+1)/(5*x^3-3*x^2+7*x-1) lgdogf] A054420 9.88221 [(x+1)*(5*x-1)/(5*x^3-3*x^2+7*x-1) ogf] A054421 10.1691 [-x*(3*x-1)/(7*x-1)/(5*x^3-3*x^2+7*x-1) ogf] A054421 4.87269 [(130231824*f(x)+12002935)*(35*f(x)*x^4-26*f(x)*x^3+52*f(x)*x^2-14*f(x)*x+3*x^2+f(x)-x) ogf] A054421 9.75201 [-(11-104*x+234*x^2-296*x^3+315*x^4)/(3*x-1)/(7*x-1)/(5*x^3-3*x^2+7*x-1) lgdogf] A054441 12.8744 [(-6*x^2-15*x+4+(-(-1+4*x)*(2*x-1)^2)^(1/2))/(x^2+4*x-1)/(-1+4*x) lgdogf] A054441 4.19019 [{(4*n+6)*a(n+1)+(15*n+22)*a(n+2)+(-8*n-14)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=23} ogf] A054441 6.83481 [4*x^3*f(x)^2+15*f(x)^2*x^2-8*f(x)^2*x+8*f(x)*x^2+f(x)^2-2*f(x)*x+x^2 ogf] A054442 9.64272 [9-72*x^2+(-3+12*x-48*x^3+12*x^2)*f(x)+(4*x^3-x+2*x^2-8*x^4)*f(x)^2 lgdogf] A054443 8.72428 [16-128*x^2+(-4+16*x-64*x^3+16*x^2)*f(x)+(4*x^3-x+2*x^2-8*x^4)*f(x)^2 lgdogf] A054444 15.2297 [-(-5+5*x+2*x^3-3*x^2)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A054444 5.02188 [(577*f(x)+52)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x-x^2+f(x)+x-1) ogf] A054444 9.54157 [(x^2-x+1)/(x^2-3*x+1)^2 ogf] A054447 14.9538 [-(-3+2*x^3+3*x^2)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A054447 4.16945 [{-a(n+4)+4*a(n+3)-2*a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=26} ogf] A054447 6.14832 [(38*f(x)-1)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1) ogf] A054447 8.64104 [-(x^2+x-1)/(x^2+2*x-1)^2 ogf] A054449 14.9717 [-2*(x-1)*(x^2+2*x+2)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A054449 6.35491 [-(x^2+x-1)^2/(x^2+2*x-1)^3 ogf] A054451 12.1440 [-1/(x^2+x-1)/(x-1)^2/(x+1)^2 ogf] A054451 17.0469 [-(-1-6*x+5*x^2+6*x^3)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A054452 13.9898 [x^2/(x^2-3*x+1)/(x-1)^2 ogf] A054452 19.1854 [-(5-11*x+4*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A054452 3.80237 [{(n+3)*a(n+1)+(-4*n-11)*a(n+2)+(4*n+9)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=5} ogf] A054452 5.93169 [-(8*f(x)-1)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x-x^2+f(x)) ogf] A054454 11.4927 [-2*(-1-3*x+3*x^3+2*x^2)/(-1+x)/(x+1)/(x^2+x-1) lgdogf] A054454 8.34054 [-1/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A054455 14.4344 [-(-3-2*x+2*x^3-x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A054455 8.29334 [-(x-1)^2*(x+1)^2/(x^2+x-1)^3 ogf] A054457 28.6024 [-6*(1+x)/(x^2-1+2*x) lgdogf] A054457 3.84711 [{(n+3)*a(n+3)+(-10-2*n)*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=6,a(2)=27} ogf] A054457 8.99632 [-1/(x^2+2*x-1)^3 ogf] A054459 19.6504 [-2*(3+2*x+x^2)/(x+1)/(x^2+2*x-1) lgdogf] A054459 4.93727 [(68*f(x)+5)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-x^2+f(x)-2*x-1) ogf] A054459 9.30212 [(x+1)^2/(x^2+2*x-1)^2 ogf] A054460 19.4108 [-3*(3+2*x+x^2)/(1+x)/(-1+2*x+x^2) lgdogf] A054460 3.25091 [{(-n-4)*a(n+4)+(12+n)*a(n+3)+(12+3*n)*a(n+2)+(n+4)*a(n+1),a(0)=1,a(1)=9,a(2)=48,a(3)=204} ogf] A054460 7.02616 [-(x+1)^3/(x^2+2*x-1)^3 ogf] A054469 17.3416 [-(-7+11*x^2+6*x^3)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A054469 8.13106 [(x+1)/(x^2+x-1)/(x-1)^5 ogf] A054470 17.0910 [-(-8+7*x^3+13*x^2)/(x-1)/(1+x)/(x^2+x-1) lgdogf] A054470 7.26298 [-(x+1)/(x^2+x-1)/(x-1)^6 ogf] A054473 4.98172 [(3*x^6+x^5+x^4+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A054473 6.03105 [-(1+40*x^10+6*x+49*x^5+26*x^4+25*x^3+27*x^11+45*x^6+66*x^7+67*x^8+13*x^2+67*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(3*x^6+x^5+x^4+1) lgdogf] A054477 13.2654 [-1/2*(-1-5*x+(1+42*x+21*x^2)^(1/2))/(-8+x) revogf] A054477 15.4763 [-(-13+2*x+8*x^2)/(8*x+1)/(x^2-5*x+1) lgdogf] A054477 16.8084 [(8*x+1)/(x^2-5*x+1) ogf] A054477 8.59519 [(63*f(x)+106)*(f(x)*x^2-5*f(x)*x+f(x)-8*x-1) ogf] A054477 9.11296 [{-a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=13} ogf] A054479 3.93640 [{(-8*n^3-48*n^2-94*n-60)*a(n+1)+(-4*n^2-18*n-20)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=6} ogf] A054480 13.1967 [-(3-2*x-6*x^2+6*x^5)/(x-1)/(x^5+x^4+x^3-x^2-2*x+1) lgdogf] A054480 13.7436 [-1/(x-1)/(x^5+x^4+x^3-x^2-2*x+1) ogf] A054485 14.4778 [(3*x+1)/(x^2-4*x+1) ogf] A054485 15.2092 [-1/2*(-1-4*x+(1+20*x+12*x^2)^(1/2))/(-3+x) revogf] A054485 18.2511 [-(-7+2*x+3*x^2)/(1+3*x)/(x^2-4*x+1) lgdogf] A054485 7.48852 [(26*f(x)+23)*(f(x)*x^2-4*f(x)*x+f(x)-3*x-1) ogf] A054485 7.94512 [{-a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A054486 16.9113 [(2*x+1)/(x^2-3*x+1) ogf] A054486 18.2327 [-1/2*(-1-3*x+(1+14*x+5*x^2)^(1/2))/(-2+x) revogf] A054486 21.3583 [-(-5+2*x+2*x^2)/(2*x+1)/(x^2-3*x+1) lgdogf] A054486 8.74723 [(13*f(x)+12)*(f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A054486 9.28061 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A054487 25.8579 [-2*(7+20*x)/(5*x+1)/(x-1) lgdogf] A054487 4.31226 [{(n+3)*a(n+3)+(-6+4*n)*a(n+2)+(-45-5*n)*a(n+1),a(0)=1,a(1)=14,a(2)=90} ogf] A054487 6.05299 [-(5*x+1)/(x-1)^9 ogf] A054488 13.3959 [(2*x+1)/(x^2-6*x+1) ogf] A054488 14.0628 [-1/2*(-1-6*x+(1+20*x+32*x^2)^(1/2))/(-2+x) revogf] A054488 17.8981 [-2*(-4+x+x^2)/(2*x+1)/(x^2+1-6*x) lgdogf] A054488 7.00948 [(23*f(x)+9)*(f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A054488 7.35140 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A054489 12.2492 [(4*x+1)/(x^2-6*x+1) ogf] A054489 12.8388 [-1/2*(-1-6*x+(1+28*x+32*x^2)^(1/2))/(-4+x) revogf] A054489 15.4066 [-2*(-5+x+2*x^2)/(4*x+1)/(x^2+1-6*x) lgdogf] A054489 6.3358 [(29*f(x)+21)*(f(x)*x^2-6*f(x)*x+f(x)-4*x-1) ogf] A054489 6.64113 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A054490 12.8388 [-1/2*(-1-6*x+(1+32*x+32*x^2)^(1/2))/(-5+x) revogf] A054490 14.9787 [-(-11+2*x+5*x^2)/(5*x+1)/(x^2+1-6*x) lgdogf] A054490 15.0431 [(5*x+1)/(x^2-6*x+1) ogf] A054490 7.7809 [(64*f(x)+57)*(f(x)*x^2-6*f(x)*x+f(x)-5*x-1) ogf] A054490 8.15588 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A054491 14.2659 [(2*x+1)/(x^2-4*x+1) ogf] A054491 14.9822 [-1/2*(-1-4*x+(1+16*x+12*x^2)^(1/2))/(-2+x) revogf] A054491 19.0683 [-2*(-3+x+x^2)/(2*x+1)/(x^2-4*x+1) lgdogf] A054491 7.46473 [(11*f(x)+7)*(f(x)*x^2-4*f(x)*x+f(x)-2*x-1) ogf] A054491 7.82885 [{-a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A054492 14.6217 [-1/2*(-1-3*x+(1+18*x+5*x^2)^(1/2))/(-3+x) revogf] A054492 17.0610 [(3*x+1)/(x^2-3*x+1) ogf] A054492 17.1283 [-(-6+2*x+3*x^2)/(3*x+1)/(x^2-3*x+1) lgdogf] A054492 9.03228 [(4*f(x)+5)*(f(x)*x^2-3*f(x)*x+f(x)-3*x-1) ogf] A054492 9.36273 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6} ogf] A054493 13.3258 [-(7-12*x-3*x^2+2*x^3)/(x-1)/(x+1)/(x^2-5*x+1) lgdogf] A054493 13.9115 [-(x+1)/(x-1)/(x^2-5*x+1) ogf] A054493 6.52485 [{a(n+3)-6*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=36} ogf] A054493 6.7028 [(19481*f(x)-2157)*(f(x)*x^3-6*f(x)*x^2+6*f(x)*x-f(x)+x+1) ogf] A054497 32.7047 [-(7+13*x)/(x-1)/(1+x) lgdogf] A054497 36.6378 [[7+3*x] ogf_with_Euler_transform] A054497 5.70754 [{(n+3)*a(n+3)-7*a(n+2)+(-14-n)*a(n+1),a(0)=1,a(1)=7,a(2)=31} ogf] A054497 5.92538 [1/(x+1)^3/(x-1)^10 ogf] A054498 31.7865 [-4*(1+4*x)/(x-1)/(1+x) lgdogf] A054498 37.2787 [[4+6*x] ogf_with_Euler_transform] A054498 5.40608 [1/(x+1)^6/(x-1)^10 ogf] A054498 5.80359 [{(n+3)*a(n+3)-4*a(n+2)+(-17-n)*a(n+1),a(0)=1,a(1)=4,a(2)=16} ogf] A054516 25.1504 [(1+3*x+x^2)/(x+2)/(x+1) lgdegf] A054516 3.39510 [{(-n^2-6*n-8)*a(n+1)+(n^2+4*n+2)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=2} ogf] A054549 12.7879 [279+651*x+(-13+42*x+31*x^2)*f(x)+(-2+2*x^2)*f(x)^2 lgdogf] A054549 37.0403 [[9+6*x] ogf_with_Euler_transform] A054549 5.77704 [{(n+3)*a(n+3)-9*a(n+2)+(-22-n)*a(n+1),a(0)=1,a(1)=9,a(2)=51} ogf] A054552 13.4440 [-(8*x^2-x+1)/(x-1)^3 ogf] A054552 23.6671 [-2*(1+7*x+4*x^2)/(x-1)/(8*x^2-x+1) lgdogf] A054552 6.66733 [-(13504*f(x)-32809)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-x+1) ogf] A054552 7.25736 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=11} ogf] A054554 14.3874 [-(7*x^2+1)/(x-1)^3 ogf] A054554 25.9575 [-(3+14*x+7*x^2)/(x-1)/(7*x^2+1) lgdogf] A054554 7.25736 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A054554 7.45529 [(72*f(x)-167)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+1) ogf] A054556 13.1178 [-(6*x^2+x+1)/(x-1)^3 ogf] A054556 23.0844 [-2*(x+2)*(3*x+1)/(x-1)/(6*x^2+x+1) lgdogf] A054556 6.72425 [(19136*f(x)-43611)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+x+1) ogf] A054556 7.08129 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A054557 23.5162 [-(67+360*x)/(60*x+1)/(x-1) lgdogf] A054557 3.82799 [{(n+3)*a(n+3)+(51+59*n)*a(n+2)+(-420-60*n)*a(n+1),a(0)=72,a(1)=4824,a(2)=32256} ogf] A054557 6.70928 [-72*(60*x+1)/(x-1)^7 ogf] A054558 14.9266 [-2*(96-143*x+75*x^2)/(x-1)/(25*x^2-48*x+30) lgdogf] A054558 5.84712 [5*(25*x^2-48*x+30)/(x-1)^8 ogf] A054559 5.23732 [{(-n-2)*a(n+2)+(7+n)*a(n+1),a(0)=30,a(1)=180} ogf] A054559 68.4201 [-6/(x-1) lgdogf] A054559 8.12164 [30/(x-1)^6 ogf] A054563 21.9858 [-5*(9+4*x+x^2)/(x-1)/(x^2+3*x+6) lgdogf] A054563 3.71977 [{(-11*n^2+174*n+872)*a(n+1)+(-273*n^2-2862*n-4755)*a(n+2)+(284*n^2+918*n+634)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A054563 6.76645 [-x^2*(x^2+3*x+6)/(x-1)^7 ogf] A054567 13.1806 [-(4*x^2+3*x+1)/(x-1)^3 ogf] A054567 21.9083 [-2*(x+3)*(2*x+1)/(x-1)/(4*x^2+3*x+1) lgdogf] A054567 6.75643 [(26304*f(x)-65629)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+3*x+1) ogf] A054567 7.11517 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=19} ogf] A054569 13.1806 [-(x+1)*(3*x+1)/(x-1)^3 ogf] A054569 22.5343 [-(7+14*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A054569 6.64475 [-(1528*f(x)-4615)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+4*x+1) ogf] A054569 7.11517 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=21} ogf] A054602 11.1034 [3*(x^2+1)*x/(x-1)^4 ogf] A054602 24.7105 [[-x^3+x+4] ogf_with_Euler_transform] A054602 27.3358 [-2*(2+x+x^2)/(x-1)/(1+x^2) lgdogf] A054602 7.00701 [f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+f(x)-3*x ogf] A054603 19.6422 [-6*(1+2*x+2*x^2)/(x-1)/(4*x^2+x+1) lgdogf] A054603 3.72705 [{(n+3)*a(n+4)-6*a(n+3)+(-9+3*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=4,a(2)=24,a(3)=96} ogf] A054603 8.07527 [-4*x*(4*x^2+x+1)/(x-1)^5 ogf] A054604 11.5871 [-2*(4+23*x+x^4+5*x^3+39*x^2)/(x-1)/(x^4+2*x^3+18*x^2+2*x+1) lgdogf] A054604 6.25086 [5*x*(x^4+2*x^3+18*x^2+2*x+1)/(x-1)^6 ogf] A054605 5.46627 [-6*x*(10*x^4+49*x^3+53*x^2+7*x+1)/(x-1)^7 ogf] A054605 9.60093 [-2*(7+74*x+15*x^4+118*x^3+206*x^2)/(x-1)/(10*x^4+49*x^3+53*x^2+7*x+1) lgdogf] A054606 4.09200 [7*x*(x^6+12*x^5+183*x^4+328*x^3+183*x^2+12*x+1)/(x-1)^8 ogf] A054606 6.16542 [-2*(10+225*x+1041*x^2+1186*x^3+396*x^4+21*x^5+x^6)/(x-1)/(x^6+12*x^5+183*x^4+328*x^3+183*x^2+12*x+1) lgdogf] A054607 3.77726 [-8*x*(34*x^6+525*x^5+1971*x^4+1936*x^3+546*x^2+27*x+1)/(x-1)^9 ogf] A054607 5.78640 [-6*(6+218*x+17*x^6+384*x^5+1605*x^2+3250*x^3+2080*x^4)/(x-1)/(34*x^6+525*x^5+1971*x^4+1936*x^3+546*x^2+27*x+1) lgdogf] A054608 5.30166 [9*x*(x^8+50*x^7+1640*x^6+9774*x^5+17390*x^4+9774*x^3+1640*x^2+50*x+1)/(x-1)^10 ogf] A054620 10.8171 [-2*(4+23*x+39*x^2+5*x^3+x^4)/(-1+x)/(x^4+2*x^3+18*x^2+2*x+1) lgdogf] A054620 6.04886 [x*(x^4+2*x^3+18*x^2+2*x+1)/(x-1)^6 ogf] A054621 5.18564 [x*(x^6+12*x^5+183*x^4+328*x^3+183*x^2+12*x+1)/(x-1)^8 ogf] A054621 6.78943 [-2*(10+225*x+21*x^5+x^6+1186*x^3+396*x^4+1041*x^2)/(x-1)/(x^6+12*x^5+183*x^4+328*x^3+183*x^2+12*x+1) lgdogf] A054622 4.07725 [-x*(34*x^6+525*x^5+1971*x^4+1936*x^3+546*x^2+27*x+1)/(x-1)^9 ogf] A054622 6.02808 [-6*(6+218*x+384*x^5+17*x^6+3250*x^3+2080*x^4+1605*x^2)/(x-1)/(34*x^6+525*x^5+1971*x^4+1936*x^3+546*x^2+27*x+1) lgdogf] A054623 3.22862 [x*(x^8+50*x^7+1640*x^6+9774*x^5+17390*x^4+9774*x^3+1640*x^2+50*x+1)/(x-1)^10 ogf] A054624 3.23436 [-x*(100*x^8+4783*x^7+45547*x^6+130963*x^5+131119*x^4+45469*x^3+4801*x^2+97*x+1)/(x-1)^11 ogf] A054644 3.92815 [(x^5+10*x^4+65*x^3+120*x^2+80*x+4)/(x-1)^10 ogf] A054644 7.74650 [-5*(24+192*x+x^5+13*x^4+99*x^3+231*x^2)/(x-1)/(x^5+10*x^4+65*x^3+120*x^2+80*x+4) lgdogf] A054648 4.30010 [-30*(89*x^4-391*x^3+401*x^2+309*x+12)/(x-1)^11 ogf] A054648 9.73652 [-7*(63+556*x+89*x^4-396*x^3+348*x^2)/(x-1)/(89*x^4-391*x^3+401*x^2+309*x+12) lgdogf] A054652 4.66881 [{(-n^2-4*n-4)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=7} egf] A054668 12.4745 [(x^4+1)/(x-1)/(x^3+x^2+x-1) ogf] A054668 14.2265 [-2*(-1+3*x^4)/(-1+x)/(x^3+x^2+x-1)/(x^4+1) lgdogf] A054668 9.12313 [f(x)*x^4-x^4-2*f(x)*x+f(x)-1 ogf] A054726 9.32709 [-1/2*(-3+36*x-12*x^2+((1-12*x+4*x^2)*(-1+18*x)^2)^(1/2))/(3*x+1)/(1-12*x+4*x^2) lgdogf] A054726 9.73225 [-2*f(x)*x^2-f(x)^2+3*f(x)*x+2*f(x)-3*x-1 ogf] A054727 17.4579 [1/2*(1+(1-4*x)^(1/2))*x/(1+x) revogf] A054727 8.26294 [f(x)^3*x+f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A054761 10.9103 [1/(x-1)/(x^9+x^8+x^7+x^6-x^5-x^4-3*x^3+3*x-1) ogf] A054761 8.39377 [-(-4+6*x-12*x^5-8*x^3+10*x^9+9*x^2)/(x-1)/(x^9+x^8+x^7+x^6-x^5-x^4-3*x^3+3*x-1) lgdogf] A054765 3.68984 [{(-n^2-4*n-4)*a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A054776 18.5360 [-4*(5+17*x+5*x^2)/(x-1)/(10*x^2+16*x+1) lgdogf] A054776 3.59550 [{(n+3)*a(n+4)+(10+15*n)*a(n+3)+(-74-6*n)*a(n+2)+(-20-10*n)*a(n+1),a(0)=0,a(1)=6,a(2)=120,a(3)=504} ogf] A054776 5.02386 [-(1053*f(x)+39106)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-60*x^3-4*f(x)*x-96*x^2+f(x)-6*x) ogf] A054776 9.77977 [6*x*(10*x^2+16*x+1)/(x-1)^4 ogf] A054777 12.0488 [-10*(7*x+1)*(7+x)*(x+1)/(x-1)/(35*x^3+155*x^2+65*x+1) lgdogf] A054777 3.34207 [{(-124*n^2-473*n-450)*a(n+1)+(168*n^2+294*n+756)*a(n+2)+(-44*n^2-141*n-106)*a(n+3),a(0)=0,a(1)=24,a(2)=1680} ogf] A054777 6.48362 [-24*x*(35*x^3+155*x^2+65*x+1)/(x-1)^5 ogf] A054778 5.63607 [120*x*(126*x^4+1246*x^3+1506*x^2+246*x+1)/(x-1)^6 ogf] A054778 7.24519 [-6*(42+707*x+1627*x^2+707*x^3+42*x^4)/(x-1)/(126*x^4+1246*x^3+1506*x^2+246*x+1) lgdogf] A054779 4.52775 [-720*x*(462*x^5+9142*x^4+24017*x^3+12117*x^2+917*x+1)/(x-1)^7 ogf] A054779 5.57216 [-84*(x+1)*(11*x^4+343*x^3+1236*x^2+343*x+11)/(x-1)/(462*x^5+9142*x^4+24017*x^3+12117*x^2+917*x+1) lgdogf] A054842 7.11200 [-(2*x+1)*(16*x^4+8*x^3+4*x^2+2*x+1)*(16*x^4-8*x^3+4*x^2-2*x+1)/(3*x^10-1) ogf] A054849 48.6001 [-12/(-1+2*x) lgdogf] A054849 5.62022 [{(-n-2)*a(n+2)+(14+2*n)*a(n+1),a(0)=1,a(1)=12} ogf] A054849 8.05058 [1/(2*x-1)^6 ogf] A054851 48.9415 [-16/(-1+2*x) lgdogf] A054851 5.65719 [{(-n-2)*a(n+2)+(18+2*n)*a(n+1),a(0)=1,a(1)=16} ogf] A054851 5.99662 [1/(2*x-1)^8 ogf] A054854 13.0773 [-(x-1)/(2*x^3-3*x^2-2*x+1) ogf] A054854 14.7776 [-(1+6*x+4*x^3-9*x^2)/(x-1)/(2*x^3-3*x^2-2*x+1) lgdogf] A054854 6.18838 [{-a(n+3)+2*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A054854 6.3009 [-(215*f(x)-12)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A054855 4.82831 [(52232*f(x)+4371)*(3*f(x)*x^4+2*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1) ogf] A054855 9.06727 [-(1+12*x+6*x^5+11*x^4-8*x^3-11*x^2)/(x^2+x-1)/(3*x^4+2*x^3-7*x^2-2*x+1) lgdogf] A054855 9.51670 [-(x^2+x-1)/(3*x^4+2*x^3-7*x^2-2*x+1) ogf] A054856 10.9681 [-(x-1)/(x+1)/(x^4-3*x+1) ogf] A054856 11.7120 [-(1+6*x+4*x^5-2*x^4-4*x^3-3*x^2)/(x-1)/(1+x)/(x^4-3*x+1) lgdogf] A054857 5.80213 [-(x^3+x^2+x-1)/(x^8+3*x^7+2*x^6+5*x^5+x^4-6*x^3-7*x^2-2*x+1) ogf] A054858 5.74413 [(7+12*x+19*x^6-6*x^3+14*x^8+22*x^7+11*x^4+x^2+4*x^9)/(x-1)/(x^3+x^2+x-1)/(x^6+4*x^5+6*x^4+11*x^3+12*x^2+7*x+1) lgdogf] A054858 6.39198 [(x-1)*(x^6+4*x^5+6*x^4+11*x^3+12*x^2+7*x+1)/(x^3+x^2+x-1) ogf] A054861 7.19335 [x^3*(3*x^24+x^21+x^18+2*x^15+x^12+x^9+2*x^6+x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A054872 22.0952 [(2+(1-4*x)^(1/2))/(4*x+3)*x revogf] A054872 28.4081 [2/(1-8*x+4*x^2)^(1/2) lgdogf] A054872 4.71420 [{-4*a(n+1)*n+(8*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A054872 8.93711 [4*f(x)*x^2+f(x)^2-4*f(x)*x-x^2-2*f(x)+4*x+1 ogf] A054873 8.07939 [-8+(12-12*x)*f(x)+(-6+12*x-6*x^2)*f(x)^2+(-3*x+3*x^2-x^3+1)*f(x)^3 lgdegf] A054877 10.8334 [-(x^2+x-1)/(2*x-1)/(x^2-x-1) ogf] A054877 12.8205 [-2*x*(2-4*x+2*x^2+x^3)/(-1+2*x)/(x^2+x-1)/(x^2-x-1) lgdogf] A054877 5.74643 [-(7*f(x)-3)*(2*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)+x-1) ogf] A054877 5.95351 [{a(n+3)-a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A054878 10.2014 [3*f(x)*x^2+2*f(x)*x-f(x)-2*x+1 ogf] A054878 14.2820 [(2*x-1)/(x+1)/(3*x-1) ogf] A054878 15.0667 [1/2/(-2+3*x)*(-1-2*x+(1-4*x+16*x^2)^(1/2)) revogf] A054878 19.1758 [-6*x*(x-1)/(3*x-1)/(-1+2*x)/(x+1) lgdogf] A054878 7.93443 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=1,a(1)=0} ogf] A054879 10.0487 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=1,a(1)=3} ogf] A054879 18.1313 [-(7*x-1)/(x-1)/(9*x-1) ogf] A054879 19.1046 [-1/2*(-1-10*x+(1-8*x+64*x^2)^(1/2))/(7+9*x) revogf] A054879 21.0641 [-3*(1-6*x+21*x^2)/(x-1)/(7*x-1)/(9*x-1) lgdogf] A054879 9.06567 [-(40*f(x)-31)*(9*f(x)*x^2-10*f(x)*x+f(x)+7*x-1) ogf] A054880 10.5536 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=6} ogf] A054880 14.4233 [-9*f(x)*x^2+10*f(x)*x-f(x)+6*x ogf] A054880 19.9067 [-1/9*(-3-5*x+(2*x+3)^(1/2)*(8*x+3)^(1/2))/x revogf] A054880 22.7736 [6*x/(x-1)/(9*x-1) ogf] A054880 34.2396 [-2*(-5+9*x)/(9*x-1)/(x-1) lgdogf] A054881 11.2731 [(4*x^2+2*x-1)/(2*x+1)/(4*x-1) ogf] A054881 14.6985 [-8*x*(x-1)/(4*x-1)/(2*x+1)/(4*x^2+2*x-1) lgdogf] A054881 5.91557 [{-a(n+3)+2*a(n+2)+8*a(n+1),a(0)=1,a(1)=0,a(2)=4} ogf] A054881 8.41513 [8*f(x)*x^2+2*f(x)*x-4*x^2-f(x)-2*x+1 ogf] A054882 5.91699 [(6*x^5-10*x^4-10*x^3+7*x^2+2*x-1)/(x-1)/(3*x-1)/(2*x+1)/(5*x^2-1) ogf] A054883 11.1978 [-6*x^5/(x-1)/(3*x-1)/(2*x+1)/(5*x^2-1) ogf] A054883 9.73627 [-2*(1+10*x-24*x^2-50*x^3+75*x^4)/(x-1)/(3*x-1)/(2*x+1)/(5*x^2-1) lgdogf] A054884 3.75189 [-(4*f(x)+3)*(25*f(x)*x^4+20*f(x)*x^3-10*f(x)*x^2-10*x^3-4*f(x)*x+5*x^2+f(x)+4*x-1) ogf] A054884 6.21802 [-10*x*(-1+25*x^5-25*x^4-30*x^3+2*x^2+5*x)/(5*x-1)/(x+1)/(5*x^2-1)/(10*x^3-5*x^2-4*x+1) lgdogf] A054884 6.71633 [(10*x^3-5*x^2-4*x+1)/(x+1)/(5*x-1)/(5*x^2-1) ogf] A054885 10.9133 [-4*(-1-5*x+25*x^3+15*x^2)/(5*x^2-1)/(5*x-1)/(x+1) lgdogf] A054885 5.22176 [25*f(x)*x^4+20*f(x)*x^3-10*f(x)*x^2-10*x^3-4*f(x)*x+f(x) ogf] A054885 9.43581 [10*x^3/(x+1)/(5*x-1)/(5*x^2-1) ogf] A054886 11.9255 [-(x^2+x+1)*(x+1)/(x^2+x-1) ogf] A054886 14.2624 [(-3-6*x+x^4+2*x^3-3*x^2)/(1+x)/(x^2+x+1)/(x^2+x-1) lgdogf] A054886 6.32570 [{a(n+4)-a(n+3)-a(n+2),a(0)=1,a(1)=3,a(2)=6,a(3)=10} ogf] A054886 7.9171 [(10*f(x)-1)*(f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)+2*x+1) ogf] A054887 3.53256 [(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-2*x^9-2*x^8-4*x^7-3*x^6-4*x^5-2*x^4-2*x^3+1) ogf] A054888 11.4956 [(x+1)^2/(x^2-3*x+1) ogf] A054888 22.9320 [-5*(x-1)/(1+x)/(x^2-3*x+1) lgdogf] A054888 5.91519 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=15} ogf] A054888 8.58118 [-f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+1 ogf] A054889 4.1592 [-(2*f(x)+3)*(f(x)*x^4-3*f(x)*x^3-x^4-f(x)*x^2-2*x^3-3*f(x)*x-4*x^2+f(x)-2*x-1) ogf] A054890 10.1742 [(x^2+x+1)/(x^2-6*x+1) ogf] A054890 14.6458 [-7*(x-1)*(x+1)/(x^2+x+1)/(x^2-6*x+1) lgdogf] A054890 5.23525 [{-a(n+3)+6*a(n+2)-a(n+1),a(0)=1,a(1)=7,a(2)=42} ogf] A054890 7.59481 [-f(x)*x^2+6*f(x)*x+x^2-f(x)+x+1 ogf] A054894 11.8519 [-2*(1+3*x+x^5+5*x^4+6*x^3-8*x^2)/(-1+2*x+x^2)/(x^4+4*x^3-4*x^2-4*x+1) lgdogf] A054894 12.0408 [-(x^2+2*x-1)/(x^4+4*x^3-4*x^2-4*x+1) ogf] A054894 6.20011 [(6024*f(x)-145)*(f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+x^2+f(x)+2*x-1) ogf] A054895 9.11046 [x^6*(2*x^30+x^24+x^18+x^12+x^6+1)/(x+1)/(x^2+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x^12-x^6+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A054896 4.85884 [x^7*(6*x^35+5*x^28+4*x^21+3*x^14+2*x^7+1)/(x-1)/(7*x^42-x^35-x^28-x^21-x^14-x^7-1) ogf] A054900 20.8370 [x^16/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A054900 9.09045 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12+x^13+x^14+17*x^15)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) lgdogf] A054925 16.4854 [-(2-2*x+7*x^2-4*x^3+3*x^4)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A054925 20.2152 [[-x^5+x^3+x^2+2] ogf_with_Euler_transform] A054925 6.25858 [-f(x)*x^5+3*f(x)*x^4-4*f(x)*x^3-x^4+4*f(x)*x^2+x^3-3*f(x)*x-x^2+f(x) ogf] A054925 9.79282 [-x^2*(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A054963 10.4918 [-(3-9*x+12*x^2-12*x^3+4*x^4)/(x-1)/(x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A054963 4.49433 [{-a(n+4)+5*a(n+3)-8*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=26} ogf] A054963 4.79618 [-(35*f(x)+8)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A054963 9.31433 [(2*x^2-2*x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A054966 13.1548 [x*(x^2+7*x+1)/(x^2+x+1)/(x-1)^2 ogf] A054966 15.3223 [-2*(4+5*x+x^4+11*x^3+6*x^2)/(x-1)/(x^2+x+1)/(x^2+7*x+1) lgdogf] A054966 5.24577 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=8,a(3)=9} ogf] A054966 7.0087 [-(87*f(x)+661)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-7*x^2+f(x)-x) ogf] A054967 13.1649 [x*(x^2+8*x+1)/(x^2+x+1)/(x-1)^2 ogf] A054967 14.7971 [-(9+11*x+25*x^3+2*x^4+13*x^2)/(x-1)/(x^2+8*x+1)/(x^2+x+1) lgdogf] A054967 5.21779 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=9,a(3)=10} ogf] A054967 7.01408 [-(23*f(x)+199)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-8*x^2+f(x)-x) ogf] A054968 12.7993 [-(-13-4*x+2*x^4+10*x^3+16*x^2)/(x-1)/(2*x^2+5*x+4)/(x^2+x-1) lgdogf] A054968 14.7581 [(2*x^2+5*x+4)/(x-1)/(x^2+x-1) ogf] A054968 7.90077 [(4105*f(x)-1228)*(f(x)*x^3-2*f(x)*x-2*x^2+f(x)-5*x-4) ogf] A054968 8.14768 [{-a(n+3)+2*a(n+2)-a(n),a(0)=4,a(1)=13,a(2)=28} ogf] A054974 16.6860 [-(-2-8*x+3*x^4-2*x^3+x^2)/(x-1)/(x+1)/(x^3-x^2-1) lgdogf] A054974 9.36247 [-(x^3-x^2-1)/(x+1)^2/(x-1)^4 ogf] A054977 11.8981 [{a(n+2)-a(n+1),a(0)=2,a(1)=1} ogf] A054977 19.0369 [-f(x)*x+f(x)+x-2 ogf] A054977 23.1530 [(x-2)/(x-1) ogf] A054977 33.5412 [1+1/2*x-1/2*(4+x^2)^(1/2) revogf] A054977 64.5024 [1/(x-1)/(x-2) lgdogf] A055005 3.94711 [-(9*x^8-54*x^7+132*x^6-171*x^5+135*x^4-78*x^3+36*x^2-9*x+1)/(x-1)^9 ogf] A055005 6.23789 [-9*x^2*(12*x^3-20*x^2+8*x+x^6-4*x^5+2*x^4+2)/(x-1)/(9*x^8-54*x^7+132*x^6-171*x^5+135*x^4-78*x^3+36*x^2-9*x+1) lgdogf] A055010 13.5958 [-x*(x-2)/(2*x-1)/(x-1) ogf] A055010 13.9552 [1/2*ln(1+2*x)+arctanh((6*x+4)^(1/2))-arctanh(2) revegf] A055010 19.2909 [-(5-8*x+2*x^2)/(x-1)/(x-2)/(2*x-1) lgdogf] A055010 6.59598 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=0,a(1)=2,a(2)=5} ogf] A055010 9.45894 [-f(x)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)-2*x) ogf] A055017 5.95101 [-x*(10*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A055022 3.85673 [x^8+8*f(x)*x^5-66*f(x)*x^4+16*f(x)^2*x^2+96*f(x)*x^3-8*f(x)^2*x-52*f(x)*x^2+f(x)^2+12*f(x)*x-f(x) ogf] A055040 5.95918 [3*(x+2)*(x^2+x+1)*(x^7+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A055048 6.18583 [(x+2)*(x^2+x+1)*(x^7+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A055099 13.6303 [-(x+1)/(2*x^2+3*x-1) ogf] A055099 14.3012 [1/2/(1+2*x)*(-1-3*x+(1+10*x+17*x^2)^(1/2)) revogf] A055099 17.6662 [-2*(2+2*x+x^2)/(x+1)/(2*x^2+3*x-1) lgdogf] A055099 6.81516 [-(57*f(x)+7)*(2*f(x)*x^2+3*f(x)*x-f(x)+x+1) ogf] A055099 7.48005 [{a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=4} ogf] A055101 10.8811 [-(2*x^2-2)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A055102 10.9558 [-(3*x^2-3)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A055103 10.8680 [-(4*x^2-4)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A055104 5.90616 [-(2*x^13+4*x+3*x^12-2*x^7-7*x^8+6*x^11+8*x^2+11*x^4+8*x^5+x^6+10*x^3+3*x^10+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^10-x^9+x^5-x^4+1) lgdogf] A055104 7.26964 [(x^10-x^9+x^5-x^4+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A055112 11.1926 [6*x*(x+1)/(x-1)^4 ogf] A055112 34.3897 [[5-x] ogf_with_Euler_transform] A055112 35.8303 [-(3*x+5)/(x-1)/(x+1) lgdogf] A055112 5.38902 [-(1072*f(x)+5379)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-6*x) ogf] A055112 5.42924 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=6,a(2)=30} ogf] A055113 18.0800 [1/2*(1+x+(-(1+x)*(-1+3*x))^(1/2))*x revogf] A055119 7.15059 [-x*(81*x^17-71*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-8)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A055120 6.54079 [-x*(100*x^19-89*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-9)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A055121 6.01371 [-x*(121*x^21-109*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-10)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A055122 5.46597 [-x*(144*x^23-131*x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-11)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A055123 5.07219 [-x*(169*x^25-155*x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-12)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A055142 27.1374 [-2*x+(-1+2*x)*f(x) lgdegf] A055142 3.39021 [{(2*n+4)*a(n+1)+(-2*n-4)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=-2} ogf] A055145 4.23832 [-(2*x^11-x^10-2*x^9+x^6-3*x^4-x^3+2*x^2+2*x+1)/(4*x-1)/(x^4+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A055148 5.33785 [-(7*x^9+4*x^8-8*x^7-6*x^6+x^2+2*x+1)/(7*x-1)/(x-1)^2/(x+1)^2 ogf] A055156 13.8453 [-3*(3*x+1)/(27*x^2-1) ogf] A055156 15.3872 [1/6*(-1+(1+4*x+12*x^2)^(1/2))/(1+3*x) revogf] A055156 15.3872 [-3*(1+18*x+27*x^2)/(3*x+1)/(27*x^2-1) lgdogf] A055156 8.42759 [(4*f(x)-11)*(27*f(x)*x^2-f(x)+9*x+3) ogf] A055156 8.94620 [{-a(n+2)+27*a(n),a(0)=3,a(1)=9} ogf] A055194 3.96532 [-(x^8-2*x^6-2*x^5+4*x^3-4*x-3)/(x^2+x+1)^2/(x+1)^2/(x-1)^8 ogf] A055194 5.56644 [-2*(-8-28*x+15*x^5-7*x^4-41*x^3+3*x^11-2*x^9-21*x^7+5*x^10-15*x^8-45*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^8-2*x^6-2*x^5+4*x^3-4*x-3) lgdogf] A055217 4.97419 [-9*f(x)^2*x^4-3*x^3*f(x)^2+5*f(x)^2*x^2-f(x)^2*x-3*f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A055232 14.9092 [-(5+17*x+17*x^2+9*x^3)/(x-1)/(x+1)/(3*x^2+1+2*x) lgdogf] A055232 9.48569 [(3*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A055243 13.3471 [(x-1)/(x^2+x-1)^3 ogf] A055243 25.8050 [-(-2-4*x+5*x^2)/(x-1)/(x^2+x-1) lgdogf] A055243 4.49820 [{(n+4)*a(n+4)+(-8-2*n)*a(n+3)-4*a(n+2)+(6+n)*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=13} ogf] A055244 15.3076 [-(x+1)*(x^3-2*x^2+2*x+1)/(x^2+x-1)/(x^3-x+1) lgdogf] A055244 5.13164 [-(9*f(x)+22)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+f(x)+x-1) ogf] A055244 9.96580 [(x^3-x+1)/(x^2+x-1)^2 ogf] A055245 7.85775 [(x^5+3*x^4-2*x^3-2*x^2+2*x-1)/(x^2+x-1)^3 ogf] A055245 9.68628 [-(x-1)*(x^5+5*x^4+x^3+5*x^2+7*x+1)/(x^2+x-1)/(x^5+3*x^4-2*x^3-2*x^2+2*x-1) lgdogf] A055250 25.2829 [-(-9+14*x)/(-1+2*x)/(x-1) lgdogf] A055250 4.21637 [{(-n-3)*a(n+3)+(15+3*n)*a(n+2)+(-16-2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=47} ogf] A055250 8.71762 [-1/(2*x-1)^2/(x-1)^5 ogf] A055251 24.8117 [-2*(-5+8*x)/(-1+2*x)/(x-1) lgdogf] A055251 4.91175 [{(-n-3)*a(n+3)+(16+3*n)*a(n+2)+(-18-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=57} ogf] A055251 8.31219 [1/(2*x-1)^2/(x-1)^6 ogf] A055264 10.3972 [-(3+9*x+12*x^5+14*x^4+13*x^3+6*x^6+15*x^2)/(x-1)/(1+x)/(x^2+1)/(3*x^3+3*x^2+2*x+1) lgdogf] A055264 11.8500 [x*(3*x^3+3*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A055267 13.6840 [(4*x+1)/(x^2-3*x+1) ogf] A055267 14.7012 [-1/2*(-1-3*x+(1+22*x+5*x^2)^(1/2))/(-4+x) revogf] A055267 17.2214 [-(-7+2*x+4*x^2)/(4*x+1)/(x^2-3*x+1) lgdogf] A055267 7.50952 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A055267 8.86334 [(19*f(x)+30)*(f(x)*x^2-3*f(x)*x+f(x)-4*x-1) ogf] A055268 10.1722 [-(10*x+1)/(x-1)^5 ogf] A055268 28.7272 [-5*(3+8*x)/(10*x+1)/(x-1) lgdogf] A055268 4.75586 [{(n+3)*a(n+3)+(3+9*n)*a(n+2)+(-50-10*n)*a(n+1),a(0)=1,a(1)=15,a(2)=65} ogf] A055269 14.5692 [-(2*x+1)/(x-1)/(x^2-4*x+1) ogf] A055269 15.8154 [-(7-10*x+4*x^3-7*x^2)/(-1+x)/(2*x+1)/(x^2-4*x+1) lgdogf] A055269 6.83336 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=30} ogf] A055269 7.01972 [(22537*f(x)-7225)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)+2*x+1) ogf] A055270 12.7818 [-(x-1)^2/(7*x-1) ogf] A055270 26.8189 [(5+7*x)/(7*x-1)/(x-1) lgdogf] A055270 6.76682 [{-a(n+3)+7*a(n+2),a(0)=1,a(1)=5,a(2)=36} ogf] A055270 9.63874 [-(37*f(x)-12)*(7*f(x)*x+x^2-f(x)-2*x+1) ogf] A055271 10.0364 [(33*f(x)+16)*(f(x)*x^2-5*f(x)*x+f(x)-2*x-1) ogf] A055271 13.5319 [(2*x+1)/(x^2-5*x+1) ogf] A055271 14.2041 [-1/2*(-1-5*x+(1+18*x+21*x^2)^(1/2))/(-2+x) revogf] A055271 17.0449 [-(-7+2*x+2*x^2)/(2*x+1)/(x^2-5*x+1) lgdogf] A055271 7.42604 [{-a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=7} ogf] A055272 12.8484 [-7*f(x)*x+f(x)+x-1 ogf] A055272 15.6264 [(x-1)/(7*x-1) ogf] A055272 16.1769 [1/2+7/2*x-1/2*(1+10*x+49*x^2)^(1/2) revogf] A055272 35.3871 [6/(7*x-1)/(-1+x) lgdogf] A055272 8.03022 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=6} ogf] A055273 13.8288 [(5*x+1)/(x^2-3*x+1) ogf] A055273 14.8601 [-1/2*(-1-3*x+(1+26*x+5*x^2)^(1/2))/(-5+x) revogf] A055273 17.4076 [-(-8+2*x+5*x^2)/(5*x+1)/(x^2-3*x+1) lgdogf] A055273 7.58899 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A055273 8.94075 [(11*f(x)+21)*(f(x)*x^2-3*f(x)*x+f(x)-5*x-1) ogf] A055274 15.155 [-8*f(x)*x+f(x)+x-1 ogf] A055274 18.4317 [(x-1)/(8*x-1) ogf] A055274 20.2968 [1/2+4*x-1/2*(64*x^2+12*x+1)^(1/2) revogf] A055274 44.6530 [7/(8*x-1)/(x-1) lgdogf] A055274 9.47183 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=7} ogf] A055275 19.3368 [(x-1)/(9*x-1) ogf] A055275 19.3704 [-9*f(x)*x+f(x)+x-1 ogf] A055275 20.0938 [1/2+9/2*x-1/2*(1+14*x+81*x^2)^(1/2) revogf] A055275 46.8856 [8/(9*x-1)/(x-1) lgdogf] A055275 9.93697 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=8} ogf] A055276 12.0642 [-11*f(x)*x+f(x)+x-1 ogf] A055276 14.6040 [(x-1)/(11*x-1) ogf] A055276 14.6862 [1/2+11/2*x-1/2*(1+18*x+121*x^2)^(1/2) revogf] A055276 31.9641 [10/(11*x-1)/(x-1) lgdogf] A055276 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=10} ogf] A055278 8.33668 [-(x^3+x^2+1)/(x^2+x+1)/(x+1)/(x-1)^5 ogf] A055278 9.59741 [-(3+10*x+14*x^5+17*x^4+22*x^3+5*x^6+19*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^3+x^2+1) lgdogf] A055279 4.11347 [-(x^8+2*x^7+5*x^6+5*x^5+7*x^4+5*x^3+3*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A055291 6.65612 [-(2+6*x+6*x^10+8*x^9+20*x^8+21*x^7+25*x^6+29*x^5+27*x^4+22*x^3+14*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^5+x^3+1) lgdogf] A055291 7.68305 [-(x^5+x^3+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A055292 3.74257 [-(2*x^10+2*x^9+4*x^8+4*x^7+5*x^6+4*x^5+4*x^4+3*x^3+x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^7 ogf] A055303 14.6517 [-12*(1+3*x+x^2)/(x-1)/(3*x^2+6*x+1) lgdegf] A055303 4.59775 [{(-n^2-9*n-20)*a(n+1)+(n+2)*a(n+2),a(0)=3,a(1)=36} ogf] A055303 5.88926 [3*(3*x^2+6*x+1)/(x-1)^6 egf] A055304 2.98944 [{(22*n^2+242*n+660)*a(n+1)+(3*n^2+20*n+133)*a(n+2)+(-3*n-9)*a(n+3),a(0)=4,a(1)=140,a(2)=3000} ogf] A055304 7.38056 [-5*(7+80*x+180*x^2+100*x^3+11*x^4)/(-1+x)/(11*x^4+76*x^3+96*x^2+26*x+1) lgdegf] A055315 12.7389 [-15*(1+4*x+2*x^2)/(x-1)/(6*x^2+8*x+1) lgdegf] A055315 6.19612 [{(-n^2-10*n-24)*a(n+1)+(n+2)*a(n+2),a(0)=4,a(1)=60} ogf] A055315 7.19752 [-4*(6*x^2+8*x+1)/(x-1)^7 egf] A055316 6.77013 [-42*(1+14*x+5*x^4+30*x^3+40*x^2)/(x-1)/(35*x^4+160*x^3+150*x^2+32*x+1) lgdegf] A055328 11.9889 [-(5+16*x+14*x^4+28*x^3+27*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A055328 8.63632 [-(2*x+1)/(x^2+x+1)/(x+1)/(x-1)^5 ogf] A055329 4.29386 [-(x^6+5*x^4+8*x^3+9*x^2+5*x+2)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A055335 7.15723 [-(-3-13*x-42*x^4-39*x^3+8*x^8-8*x^7-18*x^6-42*x^5-23*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^3-2*x^2-x-1) lgdogf] A055335 7.30330 [(x^3-2*x^2-x-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A055341 7.17957 [(x^4-2*x^3-x^2-1)/(x^2+x+1)/(x+1)/(x-1)^5 ogf] A055341 8.21112 [-(-3-10*x-14*x^5-18*x^4-24*x^3-3*x^6+4*x^7-22*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^4-2*x^3-x^2-1) lgdogf] A055342 3.63542 [(x^9-2*x^7-2*x^6-5*x^5-9*x^4-6*x^3-5*x^2-x-1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A055350 3.03739 [{(7*n^2+77*n+210)*a(n+1)+(6*n^2+77*n+295)*a(n+2)+(-6*n-18)*a(n+3),a(0)=8,a(1)=220,a(2)=4200} ogf] A055350 7.56521 [-5*(11+100*x+180*x^2+80*x^3+7*x^4)/(x-1)/(7*x^4+62*x^3+102*x^2+37*x+2) lgdegf] A055357 6.58109 [-2*(x^2+x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A055357 9.16151 [-(-9+46*x-67*x^2+12*x^3+24*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(x^2+x-1) lgdogf] A055364 10.0367 [-(4+12*x+8*x^5+15*x^4+24*x^3+5*x^6+22*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^3+x+1) lgdogf] A055364 8.73569 [-(x^3+x+1)/(x^2+x+1)/(x+1)/(x-1)^5 ogf] A055365 4.18792 [-(x^8+x^7+3*x^6+5*x^5+7*x^4+5*x^3+5*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A055383 4.96180 [-(x^6+3*x^5+11*x^4+12*x^3+9*x^2+3*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A055389 11.1455 [-f(x)*x^2-f(x)*x+x^2+f(x)-x-1 ogf] A055389 14.9307 [(x^2-x-1)/(x^2+x-1) ogf] A055389 26.7819 [2*(x^2+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A055389 7.75813 [{a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=2} ogf] A055392 3.67613 [{(-64*n^2-256*n-252)*a(n+1)+(-4*n^2-22*n-30)*a(n+2)+(5*n^2+35*n+60)*a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A055392 36.6204 [-x*(x+1)*(x^2+x-1) revogf] A055395 19.7750 [-x*(-1+x)*(x^2-3*x+1)/(-1+2*x)^2 revogf] A055400 4.46036 [x^2*(703*x^37-6859*x^26+5046*x^25+1813*x^24-259*x^18-2527*x^7+2527*x^6-361)/(703*x^37-259*x^18-361)/(x-1)^2 ogf] A055417 19.1642 [-(3-6*x+2*x^3+6*x^2)/(x-1)/(x^3+x^2-2*x+1) lgdogf] A055417 4.43212 [{(-15*n^2-111*n-198)*a(n+1)+(29*n^2+147*n+88)*a(n+2)+(-14*n^2-40*n+6)*a(n+3),a(0)=1,a(1)=3,a(2)=6} ogf] A055417 9.42462 [-(x^3+x^2-2*x+1)/(x-1)^5 ogf] A055418 3.95011 [-(8*x^8-35*x^7+51*x^6-30*x^5-5*x^4+21*x^3-16*x^2+6*x-1)/(x-1)^10 ogf] A055418 5.82752 [-(-4+22*x+156*x^5-180*x^4+127*x^3+16*x^8-41*x^6-65*x^2-41*x^7)/(x-1)/(8*x^8-35*x^7+51*x^6-30*x^5-5*x^4+21*x^3-16*x^2+6*x-1) lgdogf] A055426 12.9263 [-(5-4*x+18*x^2+52*x^3+9*x^4)/(x-1)/(x+1)/(9*x^3-x^2-x+1) lgdogf] A055426 8.11214 [-(x+1)*(9*x^3-x^2-x+1)/(x-1)^5 ogf] A055436 7.42834 [6*(-7-3*x-32160*x^10-13500*x^8+35850*x^9+9720*x^11)/(x-1)/(7290*x^11-16110*x^10+9000*x^9+9*x+11) lgdogf] A055436 8.08283 [-(7290*x^11-16110*x^10+9000*x^9+9*x+11)/(x-1)^3 ogf] A055437 15.1841 [-(9*x+11)/(x-1)^3 ogf] A055437 30.0056 [-6*(7+3*x)/(9*x+11)/(x-1) lgdogf] A055437 7.06846 [(816400*f(x)-11405297)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+9*x+11) ogf] A055437 7.12993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=42,a(2)=93} ogf] A055438 13.0151 [-(99*x+101)/(x-1)^3 ogf] A055438 24.6423 [-6*(67+33*x)/(99*x+101)/(x-1) lgdogf] A055438 5.73895 [(7896040000*f(x)-1076734126967)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+99*x+101) ogf] A055438 6.17667 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=101,a(1)=402,a(2)=903} ogf] A055452 4.67796 [f(x)^2*x^2-f(x)*x^3-x^4-7*f(x)*x^2+10*x^3+5*f(x)*x-4*x^2-f(x)-2*x+1 ogf] A055456 7.98564 [(170*x^15-340*x^14+170*x^13+10*x^5-20*x^4+12*x^3-3*x^2+x+1)/(x-1)^2 ogf] A055484 3.57952 [-(x^3-x^2-1)*(x^6+x^4+2*x^3+x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^8 ogf] A055485 3.53096 [-(x^8+x^7-3*x^6-x^5+x^4+3*x^3-x^2-3*x-4)/(x^2+x+1)^2/(x+1)^2/(x-1)^8 ogf] A055495 12.8857 [-(x^4-x^3+2*x-3)/(x-1)^2 ogf] A055495 16.3701 [(4-2*x+3*x^2-5*x^3+2*x^4)/(x-1)/(x^4-x^3+2*x-3) lgdogf] A055495 7.70617 [(f(x)+38)*(x^4+f(x)*x^2-x^3-2*f(x)*x+f(x)+2*x-3) ogf] A055503 7.25986 [(x^6-5*x^5+2*x^4+3*x^3-7*x^2+4*x-1)/(x-1)^5 ogf] A055503 9.88738 [(1-2*x+x^6+12*x^2-14*x^3+23*x^4-6*x^5)/(x-1)/(x^6-5*x^5+2*x^4+3*x^3-7*x^2+4*x-1) lgdogf] A055504 30.7085 [-2*(11+3*x)/(x+3)/(x-1) lgdogf] A055504 4.28536 [{(-2*n^2-7*n-6)*a(n+1)+(2*n^2-5*n-3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=15} ogf] A055504 7.17142 [-5*x^5*(x+3)/(x-1)^7 ogf] A055518 6.30875 [-2*(1+7*x+8*x^5+59*x^4+62*x^3-8*x^6-37*x^2+x^7)/(1+x)/(x^2-5*x+1)/(x^5-4*x^4-19*x^3+11*x^2+6*x-1) lgdogf] A055518 7.17387 [-(x+1)*(x^2-5*x+1)/(x^5-4*x^4-19*x^3+11*x^2+6*x-1) ogf] A055519 4.95492 [-(x^4+7*x^3-16*x^2-7*x+1)/(x^6+9*x^5-33*x^4-76*x^3+33*x^2+9*x-1) ogf] A055522 11.1071 [6*(x^2+x+1)/(x-1)^4/(x+1)^4 ogf] A055522 18.5021 [-(1+10*x+6*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A055522 32.2413 [-x^2+4*x+1 ogf_with_Euler_transform] A055523 12.7034 [(x^3-3*x-4)/(x-1)^3/(x+1)^3 ogf] A055523 17.9947 [-3*(-1-8*x-4*x^2+x^4)/(x-1)/(x+1)/(x^3-3*x-4) lgdogf] A055524 9.36738 [-(2*x^5+x^4-5*x^3-2*x^2+5*x+5)/(x-1)^3/(x+1)^3 ogf] A055524 9.97245 [-(5+26*x+2*x^5-5*x^4-4*x^3+2*x^6+10*x^2)/(x-1)/(1+x)/(2*x^5+x^4-5*x^3-2*x^2+5*x+5) lgdogf] A055528 8.28393 [-x*(x^2+4*x+1)/(10*x-1)/(x-1)^4 ogf] A055528 8.33618 [-6*(-3+6*x+5*x^3+28*x^2)/(-1+x)/(10*x-1)/(x^2+4*x+1) lgdogf] A055533 13.6804 [-12*(x^2+3*x+1)/(x-1)/(4*x^2+7*x+1) lgdegf] A055533 2.84968 [{(-2*n^2-14*n-24)*a(n+1)+(-n^2-8*n-24)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=12,a(2)=108} ogf] A055533 6.20437 [-(4*x^2+7*x+1)/(x-1)^5 egf] A055536 4.51163 [(x^2+4*x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^8 ogf] A055536 9.51828 [-2*(4+17*x+34*x^4+47*x^3+6*x^5+36*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2+4*x+1) lgdogf] A055546 4.37095 [{(-2*n^2-8*n-8)*a(n+1)-a(n+2),a(0)=-1,a(1)=2} ogf] A055554 12.3380 [-(7263271+7263269*x)/(7263269*x+1)/(x-1) lgdogf] A055554 4.31292 [(7263270*f(x)+6383366022241021)*(f(x)*x^2-2*f(x)*x+f(x)-1757711098*x-242) ogf] A055554 5.42592 [{-a(n+2)+2*a(n+1)-a(n),a(0)=242,a(1)=1757711582} ogf] A055554 9.01091 [242*(7263269*x+1)/(x-1)^2 ogf] A055554 9.67688 [-(-121-x+11*(121+14526540*x)^(1/2))/(-1757711098+x) revogf] A055555 3.99551 [{(n^2+4*n+4)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+1)*a(n+3),a(0)=1,a(1)=1,a(2)=3/2} egf] A055569 5.27969 [-2*x^9+2*x^8+2 ogf_with_Euler_transform] A055580 12.3297 [1/(x-1)/(2*x-1)^3 ogf] A055580 25.6575 [-(-7+8*x)/(2*x-1)/(-1+x) lgdogf] A055580 4.10989 [{(-n-3)*a(n+3)+(13+3*n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=31} ogf] A055580 5.1542 [(121*f(x)+61)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A055581 11.5197 [-1/(x-1)^2/(2*x-1)^3 ogf] A055581 24.3104 [-2*(-4+5*x)/(-1+2*x)/(x-1) lgdogf] A055581 4.21637 [{(-n-3)*a(n+3)+(14+3*n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=39} ogf] A055582 24.9370 [-3*(-3+4*x)/(-1+2*x)/(x-1) lgdogf] A055582 4.32284 [{(-n-3)*a(n+3)+(15+3*n)*a(n+2)+(-14-2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=48} ogf] A055582 9.58542 [1/(2*x-1)^3/(x-1)^3 ogf] A055583 24.5922 [-2*(-5+7*x)/(2*x-1)/(x-1) lgdogf] A055583 4.07586 [{(-n-3)*a(n+3)+(16+3*n)*a(n+2)+(-16-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=58} ogf] A055583 8.15171 [-1/(2*x-1)^3/(x-1)^4 ogf] A055585 25.4794 [-2*(-3+2*x)/(-1+2*x)/(x-1) lgdogf] A055585 4.44505 [{(n+3)*a(n+3)+(-12-3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=25} ogf] A055585 4.96799 [(140*f(x)+257)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x-x^2+f(x)+2*x-1) ogf] A055585 9.38399 [(x-1)^2/(2*x-1)^4 ogf] A055586 22.7353 [-2*(-5+6*x)/(-1+2*x)/(x-1) lgdogf] A055586 3.92097 [{(-n-3)*a(n+3)+(16+3*n)*a(n+2)+(-14-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=59} ogf] A055586 8.38653 [1/(x-1)^2/(2*x-1)^4 ogf] A055588 12.1971 [(2*x-1)/(x-1)/(x^2-3*x+1) ogf] A055588 13.1900 [-(-2+8*x-11*x^2+4*x^3)/(x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A055588 5.77185 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A055588 5.98563 [-(11*f(x)+5)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A055589 28.0863 [-2*(-3+x)/(2*x-1)/(x-1) lgdogf] A055589 5.42043 [{(-1-n)*a(n+2)+(6+3*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1} ogf] A055589 6.43012 [-x*(x-1)^4/(2*x-1)^5 ogf] A055602 15.5570 [-3*(-15-6*x+x^2)/(x-1)/(x^2-5*x-8) lgdegf] A055602 3.20005 [{(-n^2-6*n-9)*a(n+1)+(-4*n^2-35*n-76)*a(n+2)+(8+4*n)*a(n+3),a(0)=0,a(1)=4,a(2)=45} ogf] A055602 6.32481 [1/2*x*(x^2-5*x-8)/(x-1)^5 egf] A055607 7.18764 [x^2*(x^4-x^3-x^2-2*x-2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A055607 9.35807 [-(-4-10*x+3*x^7-3*x^5-3*x^6-16*x^3-15*x^4-12*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3-x^2-2*x-2) lgdogf] A055608 13.7852 [-(-13-2*x+10*x^3+13*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A055609 3.73206 [(x^8-x^7-x^6-2*x^5+2*x^4+x^3-3*x^2-2*x-1)/(x^2+x+1)^2/(x+1)^2/(x-1)^7 ogf] A055610 6.33375 [x^3*(x^5+x^4-x^3+2*x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A055610 6.56314 [-(2+5*x^11+4*x+16*x^6+9*x^5+3*x^2+7*x^3+11*x^4+19*x^8+9*x^10-x^9)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^5+x^4-x^3+2*x^2-x+1) lgdogf] A055613 2.96596 [{(-n^2-8*n-12)*a(n+1)+(2*n+17)*a(n+2)-a(n+3),a(0)=1,a(1)=13,a(2)=190} ogf] A055613 22.3770 [-(-13+5*x)/(-1+x)^2 lgdegf] A055622 4.00869 [(4*x^8+8*x^7+10*x^6+8*x^5+6*x^4+x^3-2*x^2-2*x-1)/(x-1)/(2*x^5+3*x^3-1)/(4*x^4+6*x^3+2*x^2-1) ogf] A055634 3.52392 [{(2*n^2+10*n+12)*a(n+1)+(-n^2-8*n-15)*a(n+2)+(-5-2*n)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=-1,a(2)=1,a(3)=-3} ogf] A055634 39.5658 [-1+x-x^2+(-1+x)*f(x) lgdegf] A055640 32.8204 [-x^18+x^9+1 ogf_with_Euler_transform] A055640 5.13875 [-x*(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A055645 4.71828 [x*(85*x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A055646 4.87544 [x*(86*x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A055647 5.17309 [x*(87*x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A055648 5.50599 [x*(88*x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A055649 6.15819 [x*(90*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A055658 5.37681 [-x^2*(x^4+28*x^3+62*x^2+28*x+1)/(x-1)^7 ogf] A055658 9.99986 [-(35+292*x+3*x^4+116*x^3+394*x^2)/(x-1)/(x^4+28*x^3+62*x^2+28*x+1) lgdogf] A055659 5.14658 [-x*(x^5-4*x^4+3*x^3+197*x^2+148*x+15)/(x-1)^7 ogf] A055659 8.23960 [-(253+1282*x+2*x^5-7*x^4-4*x^3+994*x^2)/(x-1)/(x^5-4*x^4+3*x^3+197*x^2+148*x+15) lgdogf] A055660 4.29982 [{(-4*n^2-38*n-90)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=15,a(1)=168} ogf] A055663 4.53565 [{(-4*n^2-62*n-240)*a(n+1)+(n^2+13*n+22)*a(n+2),a(0)=220,a(1)=4004} ogf] A055780 8.70771 [-(x^4-9*x^3-5*x-1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A055780 8.92899 [-(-7-14*x-14*x^5-69*x^4-32*x^3-43*x^6-49*x^2+4*x^7)/(x-1)/(1+x)/(x^2+1)/(x^4-9*x^3-5*x-1) lgdogf] A055787 10.6093 [1/2*x*(8*x+3*(1+8*x)^(1/2)+1)/(1+8*x)^(1/2)/((1+8*x)^(1/2)+1)^3 revogf] A055787 4.34116 [{(-256*n-384)*a(n+1)+(32*n+72)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=4,a(2)=80} ogf] A055787 7.12864 [-256*f(x)^2*x^2+32*f(x)^2*x-f(x)^2-16*f(x)*x+f(x)-4*x ogf] A055790 6.65310 [{a(n)*n+(n+2)*a(n+1)-a(n+2),a(0)=0,a(1)=2} ogf] A055792 4.88151 [{-a(n+4)+35*a(n+3)-35*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=289} ogf] A055792 5.14847 [-(1224*f(x)+1085)*(f(x)*x^3-35*f(x)*x^2+9*x^3+35*f(x)*x-26*x^2-f(x)+x) ogf] A055792 8.85378 [-(9-52*x+9*x^4-52*x^3+598*x^2)/(x-1)/(9*x^2-26*x+1)/(x^2-34*x+1) lgdogf] A055792 9.69124 [-x*(9*x^2-26*x+1)/(x-1)/(x^2-34*x+1) ogf] A055793 4.82894 [{-a(n+4)+15*a(n+3)-15*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=49} ogf] A055793 5.13554 [-(144*f(x)+407)*(f(x)*x^3-15*f(x)*x^2+4*x^3+15*f(x)*x-11*x^2-f(x)+x) ogf] A055793 9.51585 [-x*(4*x^2-11*x+1)/(x-1)/(x^2-14*x+1) ogf] A055793 9.66804 [-2*(2-11*x+2*x^4-11*x^3+54*x^2)/(-1+x)/(x^2-14*x+1)/(4*x^2-11*x+1) lgdogf] A055795 10.1216 [-x*(2*x^2-2*x+1)/(x-1)^5 ogf] A055795 24.3746 [-(3-4*x+6*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A055795 4.30815 [{(n+3)*a(n+4)+(-3*n-9)*a(n+3)+(4*n+8)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A055795 5.35089 [-(2*f(x)+1)*(f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3-10*f(x)*x^2+2*x^3+5*f(x)*x-2*x^2-f(x)+x) ogf] A055796 21.9664 [-(5-8*x+10*x^2)/(-1+x)/(2*x^2-2*x+1) lgdogf] A055796 4.00614 [{(-n-4)*a(n+4)+(14+3*n)*a(n+3)+(-16-4*n)*a(n+2)+(12+2*n)*a(n+1),a(0)=1,a(1)=5,a(2)=16,a(3)=42} ogf] A055796 8.30139 [-(2*x^2-2*x+1)/(x-1)^7 ogf] A055797 15.7141 [-2*(3-5*x+6*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A055797 5.46392 [(2*x^2-2*x+1)/(x-1)^8 ogf] A055798 21.0762 [-(7-12*x+14*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A055798 3.84442 [{(-n-4)*a(n+4)+(16+3*n)*a(n+3)+(-20-4*n)*a(n+2)+(16+2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=29,a(3)=93} ogf] A055798 6.60452 [-(2*x^2-2*x+1)/(x-1)^9 ogf] A055799 16.9387 [-2*(4-7*x+8*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A055799 4.72061 [(2*x^2-2*x+1)/(x-1)^10 ogf] A055802 12.1022 [(1+x+x^5-x^4+3*x^3+x^2)/(x-1)/(x+1)/(x^5-2*x^4-x^3+2*x^2-1) lgdogf] A055802 5.70855 [f(x)*x^5-f(x)*x^4-x^5-2*f(x)*x^3+2*x^4+2*f(x)*x^2+x^3+f(x)*x-2*x^2-f(x)+1 ogf] A055802 8.53341 [(x^5-2*x^4-x^3+2*x^2-1)/(x+1)^2/(x-1)^3 ogf] A055803 5.46169 [(x^7-2*x^6-x^5+4*x^4+x^3-3*x^2+1)/(x+1)^3/(x-1)^4 ogf] A055803 8.83428 [(-1-x-2*x^3-3*x^4+x^5-3*x^6+x^7)/(x-1)/(x+1)/(x^7-2*x^6-x^5+4*x^4+x^3-3*x^2+1) lgdogf] A055804 4.18376 [(x^9-2*x^8-2*x^7+5*x^6+2*x^5-7*x^4-x^3+4*x^2-1)/(x+1)^4/(x-1)^5 ogf] A055804 6.27094 [(1+x+x^6+3*x^5+3*x^7+3*x^4+x^3+x^9-3*x^8-x^2)/(x-1)/(x+1)/(x^9-2*x^8-2*x^7+5*x^6+2*x^5-7*x^4-x^3+4*x^2-1) lgdogf] A055808 11.1285 [x*(x^3-7*x^2-x-1)/(x-1)^3 ogf] A055808 22.8809 [4*(1+4*x+x^2)/(x-1)/(x^3-7*x^2-x-1) lgdogf] A055808 5.60263 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=4,a(3)=16,a(4)=36} ogf] A055808 6.34673 [(165*f(x)+3508)*(f(x)*x^3-x^4-3*f(x)*x^2+7*x^3+3*f(x)*x+x^2-f(x)+x) ogf] A055809 11.6449 [(15-11*x+2*x^3-2*x^2)/(x-1)/(3*x^4-14*x^3+22*x^2-11*x-1) lgdogf] A055809 4.41568 [(43*f(x)+632)*(f(x)*x^4-4*f(x)*x^3+3*x^4+6*f(x)*x^2-14*x^3-4*f(x)*x+22*x^2+f(x)-11*x-1) ogf] A055809 7.57691 [-(3*x^4-14*x^3+22*x^2-11*x-1)/(x-1)^4 ogf] A055810 5.86628 [-(4*x^5-25*x^4+60*x^3-65*x^2+26*x+1)/(x-1)^5 ogf] A055810 8.52204 [(-31+26*x+5*x^4-20*x^3+15*x^2)/(x-1)/(4*x^5-25*x^4+60*x^3-65*x^2+26*x+1) lgdogf] A055811 4.67665 [-(5*x^6-39*x^5+125*x^4-205*x^3+171*x^2-57*x-1)/(x-1)^6 ogf] A055811 6.57311 [(63-57*x+9*x^5-55*x^4+115*x^3-69*x^2)/(x-1)/(5*x^6-39*x^5+125*x^4-205*x^3+171*x^2-57*x-1) lgdogf] A055814 27.4729 [(1+x+x^3+2*x^2)/(1+x) lgdegf] A055814 4.81262 [{(n^2+5*n+6)*a(n+1)+(n+3)*a(n+2)-a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A055819 12.4486 [-(x^2+x-1)/(x^2-3*x+1) ogf] A055819 17.0118 [-2*(1-2*x+2*x^2)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A055819 6.46839 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A055819 6.80182 [-(f(x)+1)*(f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1) ogf] A055820 13.1589 [(11-7*x+x^3-x^2)/(x-1)/(2*x^4-9*x^3+14*x^2-7*x-1) lgdogf] A055820 4.36716 [(418*f(x)+2561)*(f(x)*x^4-4*f(x)*x^3+2*x^4+6*f(x)*x^2-9*x^3-4*f(x)*x+14*x^2+f(x)-7*x-1) ogf] A055820 7.66792 [-(2*x^4-9*x^3+14*x^2-7*x-1)/(x-1)^4 ogf] A055821 7.80891 [-(3*x^5-18*x^4+42*x^3-45*x^2+18*x+1)/(x-1)^5 ogf] A055821 8.59240 [(-23+18*x+3*x^4-12*x^3+9*x^2)/(x-1)/(3*x^5-18*x^4+42*x^3-45*x^2+18*x+1) lgdogf] A055822 6.39730 [-(4*x^6-30*x^5+93*x^4-149*x^3+123*x^2-41*x-1)/(x-1)^6 ogf] A055823 5.27598 [(-95+88*x+10*x^6-78*x^5+240*x^4-344*x^3+172*x^2)/(x-1)/(5*x^7-45*x^6+174*x^5-370*x^4+456*x^3-308*x^2+88*x+1) lgdogf] A055823 5.58698 [-(5*x^7-45*x^6+174*x^5-370*x^4+456*x^3-308*x^2+88*x+1)/(x-1)^7 ogf] A055824 4.17183 [f(x)^2*x^2+f(x)*x^3-6*f(x)^2*x-7*f(x)*x^2-x^3+f(x)^2+7*f(x)*x+3*x^2-f(x)-3*x ogf] A055825 3.36879 [-x^3*f(x)^2-f(x)*x^4+6*f(x)^2*x^2+7*f(x)*x^3-f(x)^2*x-8*f(x)*x^2+x^3+7*f(x)*x+x^2-f(x)-x+1 ogf] A055831 20.3786 [-(2*x-3)*(x-5)/(x-1)/(x^2-5*x+5) lgdogf] A055831 4.93902 [(730*f(x)+25013)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+5*x-5) ogf] A055831 9.66330 [(x^2-5*x+5)/(x-1)^4 ogf] A055832 16.5834 [-(30-34*x+9*x^2)/(x-1)/(-2+x)/(3*x-4) lgdogf] A055832 7.84615 [-(3*x-4)*(x-2)/(x-1)^5 ogf] A055833 11.6321 [-(-58+82*x+3*x^3-33*x^2)/(x-1)/(x^3-9*x^2+20*x-13) lgdogf] A055833 6.07357 [-(x^3-9*x^2+20*x-13)/(x-1)^6 ogf] A055834 4.72707 [{(27*n^2+27*n+6)*a(n)+(22*n^2+60*n+38)*a(n+1)+(-5*n^2-15*n-10)*a(n+2),a(0)=1,a(1)=1,a(2)=4} ogf] A055834 7.23701 [27*f(x)^3*x-5*f(x)^3-54*f(x)^2*x+10*f(x)^2+36*f(x)*x-6*f(x)-8*x+1 ogf] A055835 10.5979 [-27*f(x)^3*x+5*f(x)^3-6*f(x)+1 ogf] A055835 3.20800 [{(-27*n^2-81*n-60)*a(n+1)+(-22*n^2-104*n-120)*a(n+2)+(5*n^2+25*n+30)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A055836 4.59174 [27*f(x)^3*x^3-5*f(x)^3*x^2+54*f(x)^2*x^2-10*f(x)^2*x+37*f(x)*x-5*f(x)+x+10 ogf] A055836 9.28837 [1/2*(-27*x^2-27*x-10+((9*x^2+8*x+4)*(5+9*x)^2)^(1/2))*(x+1) revogf] A055841 13.1227 [{-a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=9} ogf] A055841 13.9533 [-(f(x)-1)*(4*f(x)*x+x^2-f(x)-2*x+1) ogf] A055841 24.4958 [-(x-1)^2/(4*x-1) ogf] A055841 47.3293 [2*(2*x+1)/(4*x-1)/(x-1) lgdogf] A055842 16.1021 [-(x-1)^2/(5*x-1) ogf] A055842 32.3583 [(3+5*x)/(5*x-1)/(-1+x) lgdogf] A055842 8.52465 [{-a(n+3)+5*a(n+2),a(0)=1,a(1)=3,a(2)=16} ogf] A055842 9.05745 [-(17*f(x)-8)*(5*f(x)*x+x^2-f(x)-2*x+1) ogf] A055843 27.9072 [-(13+27*x)/(3*x+1)/(x-1) lgdogf] A055843 4.46471 [{(-n-3)*a(n+3)+(9-2*n)*a(n+2)+(30+3*n)*a(n+1),a(0)=1,a(1)=13,a(2)=85} ogf] A055843 5.50888 [(3*x+1)/(x-1)^10 ogf] A055844 27.0575 [-2*(7+18*x)/(4*x+1)/(x-1) lgdogf] A055844 4.50827 [{(n+3)*a(n+3)+(-8+3*n)*a(n+2)+(-40-4*n)*a(n+1),a(0)=1,a(1)=14,a(2)=95} ogf] A055844 5.56262 [(4*x+1)/(x-1)^10 ogf] A055845 12.0894 [(4*x+1)/(x^2-4*x+1) ogf] A055845 12.6585 [-1/2*(-4*x-1+(12*x^2+24*x+1)^(1/2))/(-4+x) revogf] A055845 15.1903 [-2*(-4+x+2*x^2)/(4*x+1)/(x^2-4*x+1) lgdogf] A055845 6.25314 [(15*f(x)+17)*(f(x)*x^2-4*f(x)*x+f(x)-4*x-1) ogf] A055845 6.63443 [{-a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=8} ogf] A055846 13.1929 [-(x-1)^2/(6*x-1) ogf] A055846 25.2828 [2*(2+3*x)/(6*x-1)/(x-1) lgdogf] A055846 6.98448 [{-a(n+3)+6*a(n+2),a(0)=1,a(1)=4,a(2)=25} ogf] A055846 7.42102 [-(13*f(x)-5)*(6*f(x)*x+x^2-f(x)-2*x+1) ogf] A055847 13.5806 [-(x-1)^2/(8*x-1) ogf] A055847 26.0498 [2*(3+4*x)/(8*x-1)/(x-1) lgdogf] A055847 7.18975 [{-a(n+3)+8*a(n+2),a(0)=1,a(1)=6,a(2)=49} ogf] A055847 7.63912 [-(25*f(x)-7)*(8*f(x)*x+x^2-f(x)-2*x+1) ogf] A055848 27.3240 [-15*(3*x+1)/(5*x+1)/(x-1) lgdogf] A055848 4.52227 [{(n+3)*a(n+3)+(-7+4*n)*a(n+2)+(-50-5*n)*a(n+1),a(0)=1,a(1)=15,a(2)=105} ogf] A055848 5.61637 [(5*x+1)/(x-1)^10 ogf] A055849 13.9736 [(6*x+1)/(x^2-3*x+1) ogf] A055849 15.0190 [-1/2*(-1-3*x+(1+30*x+5*x^2)^(1/2))/(-6+x) revogf] A055849 17.5937 [-(-9+2*x+6*x^2)/(6*x+1)/(x^2-3*x+1) lgdogf] A055849 7.22773 [(25*f(x)+56)*(f(x)*x^2-3*f(x)*x+f(x)-6*x-1) ogf] A055849 7.66845 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A055850 14.0460 [(7*x+1)/(x^2-3*x+1) ogf] A055850 15.4760 [-1/2*(-1-3*x+(1+34*x+5*x^2)^(1/2))/(x-7) revogf] A055850 17.1955 [-(-10+2*x+7*x^2)/(7*x+1)/(x^2-3*x+1) lgdogf] A055850 7.34966 [(7*f(x)+18)*(f(x)*x^2-3*f(x)*x+f(x)-7*x-1) ogf] A055850 7.61531 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A055851 4.77959 [-x*(9*x^8+100*x^7+25*x^6-162*x^5-296*x^4-74*x^3+9*x^2+4*x+1)/(x-1)/(x^2+x+1)/(x^6-98*x^3+1) ogf] A055852 26.3363 [-(-7+2*x)/(-1+2*x)/(x-1) lgdogf] A055852 5.17618 [-x*(x-1)^5/(2*x-1)^6 ogf] A055852 5.30451 [{(-1-n)*a(n+2)+(7+3*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1} ogf] A055853 27.1508 [-2*(-4+x)/(-1+2*x)/(x-1) lgdogf] A055853 4.59301 [-x*(x-1)^6/(2*x-1)^7 ogf] A055853 5.46607 [{(-1-n)*a(n+2)+(8+3*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1} ogf] A055854 27.2905 [-(-9+2*x)/(2*x-1)/(x-1) lgdogf] A055854 3.79368 [-x*(x-1)^7/(2*x-1)^8 ogf] A055854 5.26726 [{(-1-n)*a(n+2)+(9+3*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1} ogf] A055855 24.7623 [-2*(-5+x)/(-1+2*x)/(x-1) lgdogf] A055855 3.21186 [-x*(x-1)^8/(2*x-1)^9 ogf] A055855 4.94943 [{(-1-n)*a(n+2)+(10+3*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1} ogf] A055856 4.27018 [-(x^10+15*x^9+71*x^8+192*x^7+326*x^6+388*x^5+326*x^4+192*x^3+71*x^2+15*x+1)/(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A055859 5.54936 [-x*(9*x^8+256*x^7+64*x^6-270*x^5-764*x^4-191*x^3+9*x^2+4*x+1)/(x-1)/(x^2+x+1)/(x^6-254*x^3+1) ogf] A055872 5.16645 [-x*(4*x+1)*(9*x^4-26*x^2+1)/(x-1)/(x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A055879 14.4004 [-1/2*(-x^2-1+(x^4+6*x^2+1+4*x-4*x^3)^(1/2))/(-1-x+x^2) revogf] A055879 9.77726 [x^3*f(x)^2-f(x)^2*x^2-f(x)*x^2+f(x)-x-1 ogf] A055882 13.5599 [(-n-2)*a(n+2)+2*a(n+1),a(0)=2,a(1)=4 lgdegf] A055899 6.21335 [-(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^2/(x-1)^7 ogf] A055899 9.38638 [-(7+27*x+5*x^5+17*x^4+42*x^3+42*x^2)/(x-1)/(x+1)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A055900 3.83404 [-(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x+1)^3/(x-1)^9 ogf] A055900 6.29416 [-3*(3+16*x+9*x^6+2*x^7+38*x^2+60*x^3+50*x^4+32*x^5)/(x-1)/(x+1)/(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1) lgdogf] A055908 10.3562 [-(4+8*x+3*x^5+13*x^4+15*x^3+6*x^6+11*x^2)/(x-1)/(1+x)/(x^2+1)/(x^3+x+1) lgdogf] A055908 6.88203 [-(x^3+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A055909 4.30049 [-(x^5-x^4+3*x^3+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^7 ogf] A055909 7.33291 [-(6+10*x+15*x^5+27*x^4+29*x^3+8*x^8+30*x^6+19*x^2-4*x^7)/(x-1)/(1+x)/(x^2+1)/(x^5-x^4+3*x^3+x+1) lgdogf] A055920 5.34479 [-(x^8+14*x^7+56*x^6+122*x^5+146*x^4+122*x^3+56*x^2+14*x+1)/(x+1)^3/(x-1)^5 ogf] A055958 4.48891 [-2*x*(32*x^17-4*x^16-4*x^15-4*x^14-4*x^13-4*x^12-4*x^11-4*x^10-4*x^9+3*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A055961 5.17120 [10*x^11*(10*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A055963 4.72984 [11*x^12*(11*x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A055966 6.61396 [-x*(34*x^21-34*x^20+19*x^19+4*x-2)/(21*x^21-21*x^20-2*x+1)/(x-1)^2 ogf] A055966 8.53341 [-(76+35017*x^19-59592*x^20+30720*x^21-160*x-6859*x^18)/(x-1)/(160*x^21-156*x^20-361*x^19-80*x+38) lgdogf] A055979 10.2881 [-(x^3+2*x^2-11*x-4)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A055979 6.10002 [(6785688*f(x)-14099)*(f(x)*x^4-34*f(x)*x^2+x^3+2*x^2+f(x)-11*x-4) ogf] A055979 6.64114 [-(11+268*x+x^6+4*x^5-16*x^3+x^4+371*x^2)/(x^2+6*x+1)/(x^2+1-6*x)/(x^3+2*x^2-11*x-4) lgdogf] A055988 11.8622 [-(2-2*x+x^4-4*x^3+6*x^2)/(x-1)/(x^4-4*x^3+6*x^2-5*x+1) lgdogf] A055988 4.73501 [(16*f(x)+3)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A055988 8.48614 [-(x-1)^3/(x^4-4*x^3+6*x^2-5*x+1) ogf] A055989 10.4820 [-(3-7*x+12*x^2-8*x^3+2*x^4)/(x-1)/(x^4-4*x^3+6*x^2-5*x+1) lgdogf] A055989 4.65791 [(205*f(x)+2)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A055989 8.84328 [(x-1)^2/(x^4-4*x^3+6*x^2-5*x+1) ogf] A055990 10.1072 [-(x-1)/(x^4-4*x^3+6*x^2-5*x+1) ogf] A055990 10.2344 [-(4-12*x+18*x^2-12*x^3+3*x^4)/(x-1)/(x^4-4*x^3+6*x^2-5*x+1) lgdogf] A055990 4.85466 [-(79*f(x)-11)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A055991 12.7771 [1/(x^4-4*x^3+6*x^2-5*x+1) ogf] A055991 13.0503 [-(-5+12*x-12*x^2+4*x^3)/(6*x^2+1-5*x+x^4-4*x^3) lgdogf] A055991 5.2173 [(231*f(x)+61)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A055994 27.4573 [-2*(8+27*x)/(1+6*x)/(x-1) lgdogf] A055994 4.54391 [{(n+3)*a(n+3)+(-6+5*n)*a(n+2)+(-60-6*n)*a(n+1),a(0)=1,a(1)=16,a(2)=115} ogf] A055994 5.64324 [(6*x+1)/(x-1)^10 ogf] A055995 12.6938 [-(x-1)^2/(9*x-1) ogf] A055995 26.6402 [(7+9*x)/(9*x-1)/(x-1) lgdogf] A055995 6.72025 [{-a(n+3)+9*a(n+2),a(0)=1,a(1)=7,a(2)=64} ogf] A055995 7.23065 [-(f(x)-1)*(9*f(x)*x+x^2-f(x)-2*x+1) ogf] A055996 12.4178 [-(x-1)^2/(10*x-1) ogf] A055996 23.3102 [2*(4+5*x)/(10*x-1)/(x-1) lgdogf] A055996 6.64210 [{-a(n+3)+10*a(n+2),a(0)=1,a(1)=8,a(2)=81} ogf] A055996 7.05211 [-(41*f(x)-9)*(10*f(x)*x+x^2-f(x)-2*x+1) ogf] A055997 12.3475 [-(2*x^2-5*x+1)/(x-1)/(x^2-6*x+1) ogf] A055997 6.54955 [(1336*f(x)+89)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-5*x+1) ogf] A055997 6.72498 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A055997 9.23676 [-2*(1-5*x+x^4-5*x^3+12*x^2)/(x-1)/(x^2-6*x+1)/(2*x^2-5*x+1) lgdogf] A055998 12.9045 [x*(2*x-3)/(x-1)^3 ogf] A055998 31.4730 [-(-7+4*x)/(x-1)/(2*x-3) lgdogf] A055998 6.62661 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=7} ogf] A055998 7.42984 [f(x)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+3*x) ogf] A055999 14.2106 [x*(3*x-4)/(x-1)^3 ogf] A055999 31.9260 [-3*(-3+2*x)/(x-1)/(3*x-4) lgdogf] A055999 7.04352 [-(67*f(x)-1365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+4*x) ogf] A055999 7.29733 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=9} ogf] A056000 14.0028 [x*(4*x-5)/(x-1)^3 ogf] A056000 32.7653 [-(-11+8*x)/(x-1)/(4*x-5) lgdogf] A056000 7.06337 [-(7*f(x)-279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+5*x) ogf] A056000 7.12644 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=11} ogf] A056001 27.6295 [-8*(2+7*x)/(7*x+1)/(x-1) lgdogf] A056001 4.39245 [{(n+3)*a(n+3)+(-4+6*n)*a(n+2)+(-63-7*n)*a(n+1),a(0)=1,a(1)=16,a(2)=108} ogf] A056001 6.20584 [-(7*x+1)/(x-1)^9 ogf] A056002 12.0013 [-(x-1)^2/(11*x-1) ogf] A056002 23.5000 [(9+11*x)/(11*x-1)/(x-1) lgdogf] A056002 6.34553 [{-a(n+3)+11*a(n+2),a(0)=1,a(1)=9,a(2)=100} ogf] A056002 6.65134 [-(101*f(x)-20)*(11*f(x)*x+x^2-f(x)-2*x+1) ogf] A056003 26.1031 [-18*(1+4*x)/(8*x+1)/(x-1) lgdogf] A056003 4.32312 [{(n+3)*a(n+3)+(-4+7*n)*a(n+2)+(-80-8*n)*a(n+1),a(0)=1,a(1)=18,a(2)=135} ogf] A056003 5.36903 [(8*x+1)/(x-1)^10 ogf] A056005 15.4302 [-(19+9*x+10*x^3-30*x^2)/(-1+x)/(x-2)/(2*x^2-2*x-1) lgdogf] A056005 4.14474 [{(11*n^2+73*n+120)*a(n+1)+(-25*n^2-90*n+20)*a(n+2)+(14*n^2-4*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A056005 6.35300 [x^3*(x-2)*(2*x^2-2*x-1)/(x-1)^8 ogf] A056010 10.7769 [-f(x)^2*x^2-2*f(x)*x+f(x)+x-1 ogf] A056010 15.4828 [1/2*x^2+x+1/2-1/2*(x^4+4*x^3+6*x^2+1)^(1/2) revogf] A056010 4.16529 [{(-4*n-6)*a(n+1)+(4*n+18)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=8} ogf] A056014 13.1256 [-x^3/(x^2-3*x+1)/(x^2+x-1) ogf] A056014 14.5406 [-2*(x-2)*(2*x-1)*(x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A056014 5.31532 [(2*f(x)-1)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x-f(x)) ogf] A056015 9.22482 [-2*(3-5*x-6*x^2-6*x^3+5*x^4+3*x^5)/(x^3+x^2-5*x+1)/(x^3+x^2+x-1) lgdogf] A056015 9.27312 [-1/(x^3+x^2-5*x+1)/(x^3+x^2+x-1) ogf] A056016 13.2981 [(4*x^2+3*x+1)/(x^3+x^2+2*x+1) ogf] A056016 15.1247 [-(-1-6*x-2*x^2+6*x^3+4*x^4)/(4*x^2+3*x+1)/(x^3+x^2+2*x+1) lgdogf] A056016 7.24271 [{-a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A056016 7.30794 [(f(x)-2)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-4*x^2+f(x)-3*x-1) ogf] A056020 13.7199 [(x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A056020 18.6532 [-(8+12*x+15*x^2+x^3)/(x-1)/(x+1)/(x^2+7*x+1) lgdogf] A056020 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=10} ogf] A056020 7.47243 [(9*f(x)+95)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-7*x-1) ogf] A056021 10.7859 [(x^2+3*x+1)^2/(x^2+1)/(x+1)/(x-1)^2 ogf] A056021 13.0984 [-(7+8*x+x^5+10*x^4+9*x^3+5*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2+3*x+1) lgdogf] A056022 8.72429 [(x^6+17*x^5+x^4+11*x^3+x^2+17*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A056024 6.26840 [(x^10+2*x^9+6*x^8+18*x^7+13*x^6+41*x^5+13*x^4+18*x^3+6*x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A056025 5.38079 [(x^12+18*x^11+3*x^10+x^9+47*x^8+10*x^7+9*x^6+10*x^5+47*x^4+x^3+3*x^2+18*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A056026 10.0206 [(x^4+25*x^3+173*x^2+25*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056026 7.80742 [-(26+372*x+545*x^5+299*x^4+232*x^3+51*x^6+274*x^2+x^7)/(x-1)/(1+x)/(x^4+25*x^3+173*x^2+25*x+1)/(x^2+1) lgdogf] A056040 13.7118 [-(-1-4*x+16*x^3-8*x^2)/(2*x+1)/(-1+2*x)/(4*x^2-x-1) lgdogf] A056040 3.75379 [{(24*n^2+24*n)*a(n)+(-20*n^2-80*n-68)*a(n+1)+(-6*n^2+34)*a(n+2)+(5*n^2+15*n)*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A056046 6.56131 [-2*x^3*(31*x^2-6*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A056074 11.3850 [-(17+6*x+8*x^3-24*x^2)/(x-1)/(x-2)/(2*x^2-2*x-1) lgdogf] A056074 5.33152 [-(x-2)*(2*x^2-2*x-1)/(x-1)^7 ogf] A056078 17.5214 [-3*(5+x+2*x^3-6*x^2)/(x-1)/(x-2)/(2*x^2-2*x-1) lgdogf] A056078 4.62108 [{(3*n^2+15*n+18)*a(n+1)+(-7*n^2-26*n-15)*a(n+2)+(4*n^2+6*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A056078 7.82029 [x^2*(x-2)*(2*x^2-2*x-1)/(x-1)^6 ogf] A056081 13.2556 [(x^2+25*x+1)/(x+1)/(x-1)^2 ogf] A056081 17.5211 [-(26+30*x+51*x^2+x^3)/(x-1)/(x+1)/(x^2+25*x+1) lgdogf] A056081 7.02436 [(126*f(x)+3427)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-25*x-1) ogf] A056081 7.20921 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=26,a(2)=28} ogf] A056082 10.3133 [(x^4+56*x^3+11*x^2+56*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056082 7.85854 [-(57+79*x+113*x^6+90*x^5+236*x^2+132*x^3+292*x^4+x^7)/(x-1)/(x+1)/(1+x^2)/(x^4+56*x^3+11*x^2+56*x+1) lgdogf] A056083 8.20198 [(x^6+17*x^5+x^4+305*x^3+x^2+17*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A056084 11.9211 [(x^2+727*x+1)/(x+1)/(x-1)^2 ogf] A056084 14.4387 [-(728+732*x+x^3+1455*x^2)/(x-1)/(1+x)/(x^2+727*x+1) lgdogf] A056084 6.47440 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=728,a(2)=730} ogf] A056084 6.61508 [(262449*f(x)+191326775)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-727*x-1) ogf] A056085 5.57511 [(x^10+123*x^9+37*x^8+435*x^7+36*x^6+67*x^5+36*x^4+435*x^3+37*x^2+123*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A056087 6.26337 [-(1376+2622*x+3245*x^5+7499*x^4+3382*x^3+2751*x^6+6124*x^2+x^7)/(x-1)/(1+x)/(x^2+1)/(x^4+1375*x^3+623*x^2+1375*x+1) lgdogf] A056087 8.64261 [(x^4+1375*x^3+623*x^2+1375*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056091 7.24119 [-(182+704*x+x^7+965*x^5+363*x^6+632*x^3+1167*x^4+986*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+181*x^3+261*x^2+181*x+1) lgdogf] A056091 9.51629 [(x^4+181*x^3+261*x^2+181*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056092 7.31120 [(x^6+1046*x^5+x^4+305*x^3+x^2+1046*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A056094 4.80325 [(x^10+1962*x^9+103*x^8+720*x^7+4030*x^6+1009*x^5+4030*x^4+720*x^3+103*x^2+1962*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A056096 4.93478 [-f(x)^3*x^3-8*f(x)^2*x^2-15*f(x)*x+4*f(x)-x-4 ogf] A056096 6.23953 [-2-15/2*x-4*x^2-1/2*x^3+1/2*((x^2+6*x+1)*(x+4)^2*(x+1)^2)^(1/2) revogf] A056102 6.20105 [-(1068+3046*x+4035*x^5+6325*x^4+3132*x^3+2135*x^6+5258*x^2+x^7)/(x-1)/(1+x)/(x^2+1)/(x^4+1067*x^3+989*x^2+1067*x+1) lgdogf] A056102 8.55829 [(x^4+1067*x^3+989*x^2+1067*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056103 6.88153 [(x^6+1352*x^5+x^4+14099*x^3+x^2+1352*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A056105 13.1915 [-(6*x^2-x+1)/(x-1)^3 ogf] A056105 23.2141 [-2*(1+5*x+3*x^2)/(x-1)/(6*x^2-x+1) lgdogf] A056105 6.65025 [-(4428*f(x)-7795)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-x+1) ogf] A056105 7.18465 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A056106 14.2523 [-(5*x^2+1)/(x-1)^3 ogf] A056106 25.7091 [-(3+10*x+5*x^2)/(x-1)/(5*x^2+1) lgdogf] A056106 7.18922 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A056106 7.31875 [(351*f(x)-581)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+1) ogf] A056107 13.3177 [-(4*x^2+x+1)/(x-1)^3 ogf] A056107 23.4406 [-2*(x+2)*(2*x+1)/(x-1)/(x+1+4*x^2) lgdogf] A056107 7.06418 [(260*f(x)-431)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+x+1) ogf] A056107 7.18922 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A056108 13.3177 [-(3*x^2+2*x+1)/(x-1)^3 ogf] A056108 22.7709 [-(3*x^2+10*x+5)/(x-1)/(3*x^2+2*x+1) lgdogf] A056108 7.06418 [(216*f(x)-391)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+2*x+1) ogf] A056108 7.18922 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A056109 13.3809 [-(x+1)*(2*x+1)/(x-1)^3 ogf] A056109 23.5539 [-2*(x^2+5*x+3)/(x-1)/(2*x+1)/(1+x) lgdogf] A056109 6.85909 [(10476*f(x)-22631)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+3*x+1) ogf] A056109 7.22329 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=17} ogf] A056114 30.9792 [-10*(9*x+2)/(9*x+1)/(x-1) lgdogf] A056114 5.11655 [{(n+3)*a(n+3)+(-4+8*n)*a(n+2)+(-99-9*n)*a(n+1),a(0)=1,a(1)=20,a(2)=165} ogf] A056114 5.83665 [-(9*x+1)/(x-1)^11 ogf] A056115 14.1408 [x*(5*x-6)/(x-1)^3 ogf] A056115 31.7692 [-(-13+10*x)/(x-1)/(5*x-6) lgdogf] A056115 6.94848 [-(135*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+6*x) ogf] A056115 7.19665 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=13} ogf] A056116 10.8401 [-(x-1)^2/(12*x-1) ogf] A056116 20.3047 [2*(5+6*x)/(12*x-1)/(x-1) lgdogf] A056116 5.66642 [{-a(n+3)+12*a(n+2),a(0)=1,a(1)=10,a(2)=121} ogf] A056116 6.08104 [-(61*f(x)-11)*(12*f(x)*x+x^2-f(x)-2*x+1) ogf] A056117 27.7683 [-(17+64*x)/(8*x+1)/(x-1) lgdogf] A056117 4.41408 [{(n+3)*a(n+3)+(-3+7*n)*a(n+2)+(-72-8*n)*a(n+1),a(0)=1,a(1)=17,a(2)=117} ogf] A056117 6.23641 [-(8*x+1)/(x-1)^9 ogf] A056118 26.3929 [-2*(8+25*x)/(10*x+1)/(x-1) lgdogf] A056118 4.54597 [{(n+3)*a(n+3)+(2+9*n)*a(n+2)+(-60-10*n)*a(n+1),a(0)=1,a(1)=16,a(2)=81} ogf] A056118 8.64295 [(10*x+1)/(x-1)^6 ogf] A056119 14.2098 [x*(6*x-7)/(x-1)^3 ogf] A056119 31.9265 [-3*(-5+4*x)/(x-1)/(6*x-7) lgdogf] A056119 7.0431 [-(89*f(x)-9804)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+7*x) ogf] A056119 7.23176 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=15} ogf] A056120 5.38542 [{-a(n+4)+4*a(n+3),a(0)=1,a(1)=1,a(2)=7,a(3)=27} ogf] A056120 5.93621 [(1139*f(x)+621)*(-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A056120 9.85634 [(x-1)^3/(4*x-1) ogf] A056121 14.3477 [x*(7*x-8)/(x-1)^3 ogf] A056121 32.2410 [-(-17+14*x)/(x-1)/(7*x-8) lgdogf] A056121 6.98991 [-(227*f(x)-37449)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+8*x) ogf] A056121 7.30197 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=17} ogf] A056122 27.1907 [-(17+63*x)/(7*x+1)/(x-1) lgdogf] A056122 4.32312 [{(n+3)*a(n+3)+(-5+6*n)*a(n+2)+(-70-7*n)*a(n+1),a(0)=1,a(1)=17,a(2)=125} ogf] A056122 5.36903 [(7*x+1)/(x-1)^10 ogf] A056123 14.1908 [(8*x+1)/(x^2-3*x+1) ogf] A056123 15.2574 [-1/2*(-1-3*x+(1+38*x+5*x^2)^(1/2))/(-8+x) revogf] A056123 17.3765 [-(-11+2*x+8*x^2)/(8*x+1)/(x^2-3*x+1) lgdogf] A056123 7.34008 [(31*f(x)+90)*(f(x)*x^2-3*f(x)*x+f(x)-8*x-1) ogf] A056123 7.69383 [{-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A056124 11.3572 [-(7*x+1)/(x-1)/(x^2-3*x+1) ogf] A056124 12.0215 [-(11-8*x+14*x^3-25*x^2)/(x-1)/(7*x+1)/(x^2-3*x+1) lgdogf] A056124 5.28010 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=40} ogf] A056124 5.32681 [(196239*f(x)-362129)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)+7*x+1) ogf] A056125 26.7909 [-18*(1+4*x)/(9*x+1)/(x-1) lgdogf] A056125 4.43572 [{(n+3)*a(n+3)+(-2+8*n)*a(n+2)+(-81-9*n)*a(n+1),a(0)=1,a(1)=18,a(2)=126} ogf] A056125 6.26698 [-(9*x+1)/(x-1)^9 ogf] A056126 14.4167 [x*(8*x-9)/(x-1)^3 ogf] A056126 32.3983 [-(-19+16*x)/(x-1)/(8*x-9) lgdogf] A056126 7.02352 [-(141*f(x)-33215)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+9*x) ogf] A056126 7.33707 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=19} ogf] A056128 30.1231 [-4*(5+22*x)/(8*x+1)/(x-1) lgdogf] A056128 4.97666 [{(n+3)*a(n+3)+(-6+7*n)*a(n+2)+(-96-8*n)*a(n+1),a(0)=1,a(1)=20,a(2)=174} ogf] A056128 5.24936 [(8*x+1)/(x-1)^12 ogf] A056136 12.8851 [-(3*x^2+2*x+1)/(x-1)^3/(x+1)^3 ogf] A056136 17.1146 [-2*(1+6*x+6*x^3+5*x^2)/(x-1)/(1+x)/(3*x^2+2*x+1) lgdogf] A056143 6.58113 [x*(101*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A056158 25.9446 [(1+3*x+x^2)/(x+2)/(x+1) lgdegf] A056161 7.80606 [(x^4+x^3-19*x^2-5*x-2)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A056182 10.3659 [-6*f(x)*x^2+5*f(x)*x-f(x)+2*x ogf] A056182 16.5294 [2*x/(3*x-1)/(2*x-1) ogf] A056182 17.1980 [-1/12*(-2-5*x+(4+20*x+x^2)^(1/2))/x revogf] A056182 22.2937 [-(-5+12*x)/(3*x-1)/(-1+2*x) lgdogf] A056182 7.55046 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=0,a(1)=2} ogf] A056197 17.3906 [-(7+10*x+x^2)/(-1+x)/(x^2+4*x+1) lgdegf] A056197 5.029 [(29*f(x)-80)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+1) egf] A056197 9.31602 [-(x^2+4*x+1)/(x-1)^3 egf] A056199 3.54607 [{(n^2+3*n)*a(n)+(-2*n^2-10*n-8)*a(n+1)+(n^2+8*n+10)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A056220 13.2636 [-(x^2+4*x-1)/(x-1)^3 ogf] A056220 25.7247 [-(1+10*x+x^2)/(x-1)/(x^2+4*x-1) lgdogf] A056220 7.16001 [(25*f(x)-47)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x-1) ogf] A056220 7.22394 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=1,a(2)=7} ogf] A056236 14.3777 [-2*(2*x-1)/(2*x^2-4*x+1) ogf] A056236 16.6874 [-2*(1-2*x+2*x^2)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A056236 7.2696 [-(7*f(x)-6)*(2*f(x)*x^2-4*f(x)*x+f(x)+4*x-2) ogf] A056236 7.89018 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=2,a(1)=4} ogf] A056237 7.00042 [(14640*f(x)-661507)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+3*x+6) ogf] A056243 11.0039 [(x^2-3*x-1)/(2*x-1)^3 ogf] A056243 18.5849 [-(-9-10*x+2*x^2)/(2*x-1)/(x^2-3*x-1) lgdogf] A056243 5.59212 [(409212*f(x)-772175)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-x^2-f(x)+3*x+1) ogf] A056243 5.98455 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=9,a(2)=41} ogf] A056272 3.92583 [(f(x)+2)*(30*f(x)*x^4-61*f(x)*x^3-11*x^4+41*f(x)*x^2+37*x^3-11*f(x)*x-32*x^2+f(x)+10*x-1) ogf] A056272 5.57082 [-(2-34*x+570*x^6-1440*x^5-800*x^3+1495*x^4+231*x^2)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(19*x^3-24*x^2+9*x-1) lgdogf] A056272 7.06430 [-(19*x^3-24*x^2+9*x-1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A056273 5.21977 [-(91*x^4-135*x^3+68*x^2-14*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1) ogf] A056308 10.9635 [-3*(3*x+2)*(4*x-1)/(6*x-1)/(6*x^2-1) ogf] A056308 6.04884 [{a(n+3)-6*a(n+2)-6*a(n+1)+36*a(n),a(0)=6,a(1)=21,a(2)=126} ogf] A056308 6.24372 [-(50*f(x)+41)*(36*f(x)*x^3-6*f(x)*x^2-6*f(x)*x+21*x^2+f(x)-1) ogf] A056308 8.07346 [-(7+432*x^4+360*x^3-174*x^2)/(6*x-1)/(3*x+2)/(4*x-1)/(6*x^2-1) lgdogf] A056309 12.0981 [x*(4*x^2-x-1)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A056309 6.44572 [-(59*f(x)+426)*(4*f(x)*x^4-6*f(x)*x^3-4*x^3+3*f(x)*x+x^2-f(x)+x) ogf] A056309 7.65715 [-2*(-2+4*x+16*x^5-18*x^4-2*x^3+3*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(4*x^2-x-1) lgdogf] A056310 4.65748 [-3*x^2*(12*x^4-5*x^3-4*x^2+1)/(2*x-1)/(3*x-1)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056311 3.29964 [12*x^3*(3*x+1)*(8*x^4-3*x^3-2*x^2-x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056323 4.44397 [-(f(x)+2)*(16*f(x)*x^4-20*f(x)*x^3-5*x^4+14*x^3+5*f(x)*x-3*x^2-f(x)-4*x+1) ogf] A056323 5.86465 [-(2-12*x+176*x^6-192*x^5-24*x^4+74*x^3+3*x^2)/(x-1)/(2*x+1)/(2*x-1)/(-1+4*x)/(11*x^3-6*x^2-3*x+1) lgdogf] A056323 8.07754 [-(11*x^3-6*x^2-3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A056324 3.50098 [-(215*x^7-289*x^6-25*x^5+168*x^4-51*x^3-16*x^2+9*x-1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(2*x^2-1)/(5*x^2-1) ogf] A056326 12.3070 [x*(x^2+x-1)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A056326 6.77927 [(50*f(x)+207)*(4*f(x)*x^4-6*f(x)*x^3-x^3+3*f(x)*x-x^2-f(x)+x) ogf] A056326 8.28118 [-(-2+2*x+8*x^5+6*x^4-28*x^3+15*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(x^2+x-1) lgdogf] A056327 4.87369 [x^2*(3*x^4-8*x^3+3*x^2+2*x-1)/(2*x-1)/(3*x-1)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056328 5.21022 [-x^3*(3*x^3+x^2-2*x+1)/(3*x^2-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1) ogf] A056449 10.9648 [{-a(n+2)+3*a(n),a(0)=3,a(1)=3} ogf] A056449 11.8862 [-(4*f(x)+1)*(3*f(x)*x^2-f(x)+3*x+1) ogf] A056449 17.1158 [-3*(x+1)/(3*x^2-1) ogf] A056449 19.1011 [1/6*(-3+(9+12*x+12*x^2)^(1/2))/(x+1) revogf] A056449 22.9213 [-(1+6*x+3*x^2)/(x+1)/(3*x^2-1) lgdogf] A056450 10.0561 [-1/2*arcsinh(1/3*3^(1/2))+1/2*arcsinh(1/3*3^(1/2)*(x+1)) revegf] A056450 10.1531 [-(5*f(x)+2)*(4*f(x)*x^2-f(x)+4*x+1) ogf] A056450 14.0603 [-4*(x+1)/(2*x-1)/(2*x+1) ogf] A056450 15.6428 [-(1+8*x+4*x^2)/(1+2*x)/(2*x-1)/(x+1) lgdogf] A056450 9.00736 [{-a(n+2)+4*a(n),a(0)=4,a(1)=4} ogf] A056451 12.6102 [-1/5*5^(1/2)*(arcsinh(1/2)-arcsinh(1/2*x+1/2)) revegf] A056451 14.4695 [-5*(x+1)/(5*x^2-1) ogf] A056451 18.7119 [-(1+10*x+5*x^2)/(x+1)/(5*x^2-1) lgdogf] A056451 8.54171 [-(2*f(x)+1)*(5*f(x)*x^2-f(x)+5*x+1) ogf] A056451 9.26955 [{-a(n+2)+5*a(n),a(0)=5,a(1)=5} ogf] A056452 10.1450 [{-a(n+2)+6*a(n),a(0)=6,a(1)=6} ogf] A056452 15.8361 [-6*(x+1)/(6*x^2-1) ogf] A056452 18.7087 [1/6*(-3+(9+6*x+6*x^2)^(1/2))/(x+1) revogf] A056452 20.5193 [-(1+12*x+6*x^2)/(x+1)/(6*x^2-1) lgdogf] A056452 9.33956 [-(7*f(x)+4)*(6*f(x)*x^2-f(x)+6*x+1) ogf] A056453 17.8030 [2*x^2/(x-1)/(2*x^2-1) ogf] A056453 24.8004 [-(-1-4*x+6*x^2)/(-1+x)/(2*x^2-1) lgdogf] A056453 7.28305 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A056453 7.48725 [-(f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)) ogf] A056454 13.2598 [-6*x^4/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056454 14.1903 [-(1+10*x-15*x^2-24*x^3+30*x^4)/(x-1)/(3*x^2-1)/(-1+2*x^2) lgdogf] A056454 6.91321 [6*f(x)*x^5-6*f(x)*x^4-5*f(x)*x^3+6*x^4+5*f(x)*x^2+f(x)*x-f(x) ogf] A056455 8.71902 [-(-1-18*x+168*x^6-144*x^5-130*x^4+104*x^3+27*x^2)/(x-1)/(2*x+1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) lgdogf] A056455 9.58998 [24*x^6/(2*x-1)/(2*x+1)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056456 5.57021 [-120*x^8/(2*x-1)/(2*x+1)/(x-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056457 3.81235 [720*x^10/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056468 5.50700 [-x*(136*x^4-272*x^3+84*x^2+52*x+1)/(2*x-1)^7 ogf] A056468 9.36688 [-6*(11+132*x+4*x^2-272*x^3+136*x^4)/(-1+2*x)/(136*x^4-272*x^3+84*x^2+52*x+1) lgdogf] A056469 13.5242 [-(x^2+3*x-2)/(2*x-1)/(x-1) ogf] A056469 16.7333 [-(3-10*x+9*x^2)/(x-1)/(-1+2*x)/(x^2+3*x-2) lgdogf] A056469 7.02730 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=2,a(1)=3,a(2)=4} ogf] A056469 7.62536 [(f(x)-11)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)+3*x-2) ogf] A056470 5.28773 [-(19*x^6-24*x^4+9*x^2-1)/(x-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056471 4.18664 [-(91*x^8-135*x^6+68*x^4-14*x^2+1)/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A056473 5.79717 [-(-1-18*x+168*x^6-144*x^5-130*x^4+104*x^3+27*x^2)/(-1+x)/(2*x+1)/(2*x-1)/(-1+3*x^2)/(2*x^2-1) lgdogf] A056473 6.91257 [x^6/(2*x-1)/(2*x+1)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056474 5.30398 [-x^8/(2*x-1)/(2*x+1)/(x-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056475 5.85122 [x^10/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056486 11.4165 [(8*f(x)-7)*(4*f(x)*x^2-f(x)+10*x+4) ogf] A056486 11.9435 [{a(n+2)-4*a(n),a(0)=4,a(1)=10} ogf] A056486 12.6768 [-1/2*ln(9/2)+1/2*ln(5/2+x+((x+4)*(x+1))^(1/2)) revegf] A056486 14.5784 [-(5+16*x+20*x^2)/(5*x+2)/(1+2*x)/(2*x-1) lgdogf] A056486 18.4840 [-2*(5*x+2)/(2*x-1)/(2*x+1) ogf] A056487 11.5185 [(10*f(x)-1)*(5*f(x)*x^2-f(x)+3*x+1) ogf] A056487 12.2384 [{a(n+2)-5*a(n),a(0)=1,a(1)=3} ogf] A056487 14.2228 [1/2/(3+5*x)*(-1+((2*x+1)*(10*x+1))^(1/2)) revogf] A056487 17.1510 [-(3+10*x+15*x^2)/(3*x+1)/(5*x^2-1) lgdogf] A056487 19.1038 [-(3*x+1)/(5*x^2-1) ogf] A056488 11.3399 [(8*f(x)+1)*(6*f(x)*x^2-f(x)+21*x+6) ogf] A056488 12.2457 [1/3*(-3+3^(1/2)*((x+3)*(2*x+1))^(1/2))/(7+2*x) revogf] A056488 13.7186 [-3*(7*x+2)/(6*x^2-1) ogf] A056488 16.5678 [-(7+24*x+42*x^2)/(7*x+2)/(6*x^2-1) lgdogf] A056488 8.86431 [{a(n+2)-6*a(n),a(0)=6,a(1)=21} ogf] A056489 10.1921 [-3*x^3*(x+1)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056489 5.1631 [-(14*f(x)-5)*(6*f(x)*x^5-6*f(x)*x^4-5*f(x)*x^3+3*x^4+5*f(x)*x^2+3*x^3+f(x)*x-f(x)) ogf] A056489 8.53448 [-2*(1+5*x+12*x^5+6*x^4-17*x^3-5*x^2)/(x-1)/(x+1)/(3*x^2-1)/(2*x^2-1) lgdogf] A056490 5.80109 [-2*(-1-9*x+24*x^6-124*x^5+72*x^7-26*x^4+61*x^3+9*x^2)/(x-1)/(1+2*x)/(2*x-1)/(x+1)/(3*x^2-1)/(2*x^2-1) lgdogf] A056490 7.73471 [12*x^5*(x+1)/(2*x-1)/(2*x+1)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A056491 6.22707 [-60*x^7*(x+1)/(2*x-1)/(2*x+1)/(x-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056492 4.90247 [360*x^9*(x+1)/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A056520 17.0368 [-(-2-2*x+x^3-5*x^2)/(x-1)/(x^3-4*x^2+2*x-1) lgdogf] A056520 3.89341 [{(145*n^2+839*n+1098)*a(n+1)+(-218*n^2-886*n-696)*a(n+2)+(73*n^2+263*n+132)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A056520 5.22751 [(2208*f(x)+3973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-4*x^2+f(x)+2*x-1) ogf] A056520 9.70823 [-(x^3-4*x^2+2*x-1)/(x-1)^4 ogf] A056527 11.1380 [(2*x^4+2*x^3+x^2+2*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056527 9.24237 [-(4+6*x+6*x^6+7*x^5+11*x^2+23*x^3+13*x^4+2*x^7)/(x-1)/(x+1)/(x^2+1)/(2*x^4+2*x^3+x^2+2*x+2) lgdogf] A056530 11.6663 [-(3+11*x+5*x^5+15*x^3+13*x^4+25*x^2)/(x-1)/(x^2+x+1)/(5*x^3+4*x^2+2*x+1) lgdogf] A056530 12.4099 [(5*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A056530 5.00750 [{(12*n+35)*a(n+1)+12*a(n+2)+12*a(n+3)+(-12*n-23)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=13} ogf] A056530 6.58679 [-(3096*f(x)-37295)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-4*x^2+f(x)-2*x-1) ogf] A056531 5.73227 [(9*x^12+2*x^11+6*x^10+4*x^9+8*x^8+4*x^7+2*x^6+6*x^5+6*x^4+6*x^3+4*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A056541 3.84658 [{(2*n+4)*a(n+1)+(-2*n-7)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A056542 4.16699 [{(n+3)*a(n+1)+(-n-5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A056545 29.8233 [-5+4*x+(1-4*x)*f(x) lgdegf] A056545 4.24982 [{(4*n+8)*a(n+1)+(-4*n-13)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=41} ogf] A056546 26.8503 [-6+5*x+(1-5*x)*f(x) lgdegf] A056546 3.80472 [{(5*n+10)*a(n+1)+(-5*n-16)*a(n+2)+a(n+3),a(0)=1,a(1)=6,a(2)=61} ogf] A056547 28.3096 [-7+6*x+(1-6*x)*f(x) lgdegf] A056547 4.00710 [{(-6*n-12)*a(n+1)+(6*n+19)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=85} ogf] A056570 5.28536 [(545*f(x)+7)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+x^3-3*f(x)*x+2*x^2+f(x)-x) ogf] A056570 8.64617 [-(1+10*x+2*x^5-18*x^2+8*x^3+9*x^4)/(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A056570 9.77430 [-x*(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A056571 6.15086 [-(1+22*x+2*x^7-17*x^6+24*x^5+110*x^4+90*x^3-82*x^2)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-7*x+1)/(x^2-5*x+1) lgdogf] A056571 6.79349 [-x*(x+1)*(x^2-5*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A056572 5.44179 [-x*(x^4+7*x^3-16*x^2-7*x+1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A056573 3.98229 [-x*(x-1)*(x^4-11*x^3-64*x^2-11*x+1)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A056578 14.4072 [-2*(5+24*x+x^3+18*x^2)/(x-1)/(2*x^3+15*x^2+6*x+1) lgdogf] A056578 3.71282 [{(-213*n^2-973*n-1094)*a(n+1)+(146*n^2-188*n-820)*a(n+2)+(67*n^2+321*n+360)*a(n+3),a(0)=1,a(1)=10,a(2)=49} ogf] A056578 4.83414 [(150272*f(x)+1116829)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-15*x^2+f(x)-6*x-1) ogf] A056578 9.23446 [(2*x^3+15*x^2+6*x+1)/(x-1)^4 ogf] A056579 10.0466 [-3*(5+56*x+106*x^2+32*x^3+x^4)/(x-1)/(3*x^4+42*x^3+64*x^2+10*x+1) lgdogf] A056579 6.80240 [-(3*x^4+42*x^3+64*x^2+10*x+1)/(x-1)^5 ogf] A056589 7.19029 [-(x-2)*(8*x^6-3*x^5+19*x^3-12*x^2-3*x+2)/(-1+2*x)/(x+1)/(x^2-3*x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A056589 7.51280 [(x^2-x+1)/(2*x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A056590 4.00838 [-(4*x^5+3*x^4+3*x^3-8*x^2+3*x-1)/(x+1)/(3*x-1)/(x^2-3*x+1)/(4*x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A056594 10.3847 [{-a(n+2)-a(n),a(0)=1,a(1)=0} ogf] A056594 15.9569 [f(x)*x^2+f(x)-1 ogf] A056594 22.5598 [1/(x^2+1) ogf] A056594 25.7862 [-1/2*(-1+(-(-1+2*x)*(2*x+1))^(1/2))/x revogf] A056594 26.1078 [[x^3-x] ogf_with_Euler_transform] A056594 79.5076 [-2*x/(1+x^2) lgdogf] A056640 10.6974 [(5*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A056699 10.8502 [(2*x^4-2*x^3+x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056699 9.19758 [-(3+5*x+2*x^7-2*x^2+14*x^3+9*x^4+3*x^5-2*x^6)/(x-1)/(x+1)/(x^2+1)/(2*x^4-2*x^3+x^2+2*x+1) lgdogf] A056771 12.2112 [-(17*x-1)/(x^2-34*x+1) ogf] A056771 14.8115 [-(17-2*x+17*x^2)/(17*x-1)/(x^2-34*x+1) lgdogf] A056771 6.04132 [-(576*f(x)-287)*(f(x)*x^2-34*f(x)*x+f(x)+17*x-1) ogf] A056771 6.83245 [{a(n+2)-34*a(n+1)+a(n),a(0)=1,a(1)=17} ogf] A056810 2.73983 [-f(x)*(10*f(x)*x^2+10*x^3-11*f(x)*x+f(x)-x) ogf] A056810 3.18183 [-x*(10*x^2-1)/(10*x-1)/(x-1) ogf] A056811 10.7306 [(-1-21*x^20+4*x^5-5*x^4+44*x^45-45*x^44+20*x^21)/(x-1)/(x^45+x^21+x^5+1) lgdogf] A056813 10.5726 [(-1+2*x^3-96*x^47+94*x^48+7*x^8-3*x^2-8*x^7-48*x^23+46*x^24)/(x-1)/(2*x^48+2*x^24+x^8+x^3+1) lgdogf] A056813 14.7954 [-(2*x^48+2*x^24+x^8+x^3+1)/(x-1) ogf] A056822 19.0736 [-x^9+x^7+x^4+x+1 ogf_with_Euler_transform] A056822 6.79187 [-(1+2*x+6*x^11-5*x^10-7*x^8+10*x^7-x^2+4*x^3+2*x^4+2*x^5+2*x^6+8*x^9)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1) lgdogf] A056822 7.69780 [-x^3*(x^4-x^3+x^2-x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A056827 20.6865 [[x^5-x^3+x+2] ogf_with_Euler_transform] A056827 9.10496 [-2*(1+2*x+3*x^7+2*x^2+2*x^3+2*x^4+5*x^5+x^6)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A056827 9.98496 [-x^3*(x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A056829 10.0372 [-x^2*(x^4+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A056829 20.7948 [-x^7+x^5+x^3+2 ogf_with_Euler_transform] A056829 8.69110 [-2*(1+x+x^8+x^7+x^2+3*x^3+2*x^4+5*x^5+x^6+2*x^9)/(x-1)/(x+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A056830 12.0910 [x/(x-1)/(10*x-1)/(x+1) ogf] A056830 15.1201 [-2*(-5-x+15*x^2)/(x-1)/(10*x-1)/(x+1) lgdogf] A056830 4.98489 [{-a(n+3)+10*a(n+2)+a(n+1)-10*a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A056830 5.3611 [-(10*f(x)+1)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+f(x)-x) ogf] A056833 18.9486 [x^6-2*x^5+2*x^2+x+1 ogf_with_Euler_transform] A056833 7.15880 [-x^2*(x+1)*(x^2-x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A056833 7.49731 [-(1+3*x+3*x^7+x^8+7*x^2+4*x^3+4*x^4+4*x^5+11*x^6+4*x^9)/(x-1)/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A056834 10.0814 [-x^3*(x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A056834 20.8883 [x^6-x^5+x^2+2 ogf_with_Euler_transform] A056834 7.35450 [-(2+2*x+2*x^7+2*x^8+5*x^2+4*x^3+4*x^4+4*x^5+11*x^6+6*x^9)/(x-1)/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A056837 5.49566 [-x^5+x^3+x^2+x+1 ogf_with_Euler_transform] A056838 18.4577 [x^8-2*x^5+2*x^2+x+1 ogf_with_Euler_transform] A056838 6.69071 [-(1+3*x+4*x^6+13*x^8+4*x^7+7*x^2+4*x^3+4*x^4+4*x^5+x^10+3*x^9+6*x^11)/(x-1)/(x+1)/(1+x+x^2)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A056838 6.84768 [-x^3*(x+1)*(x^2-x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A056854 17.4194 [-(7*x-2)/(x^2-7*x+1) ogf] A056854 22.6862 [-(7-4*x+7*x^2)/(7*x-2)/(x^2-7*x+1) lgdogf] A056854 8.614 [-(45*f(x)-41)*(f(x)*x^2-7*f(x)*x+f(x)+7*x-2) ogf] A056854 9.55941 [{a(n+2)-7*a(n+1)+a(n),a(0)=2,a(1)=7} ogf] A056864 20.2153 [-x^11+x^9+x^5+2 ogf_with_Euler_transform] A056864 9.64355 [-x^3*(x^2+1)*(x^4-x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A056865 5.77010 [-2*(1+x+x^2+3*x^3+2*x^4+2*x^5+2*x^6+2*x^7+x^10+x^12+4*x^13+2*x^8+7*x^9+x^11)/(-1+x)/(x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A056865 9.59279 [-x^4*(x^4+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A056914 13.1146 [(4*x+1)/(x^2-7*x+1) ogf] A056914 13.7661 [-1/2*(-1-7*x+(1+30*x+45*x^2)^(1/2))/(-4+x) revogf] A056914 16.0604 [-(-11+2*x+4*x^2)/(4*x+1)/(x^2-7*x+1) lgdogf] A056914 6.78344 [(75*f(x)+46)*(f(x)*x^2-7*f(x)*x+f(x)-4*x-1) ogf] A056914 7.11035 [{-a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=11} ogf] A056918 12.6938 [-(9*x-2)/(x^2-9*x+1) ogf] A056918 15.5401 [-1/2*(-2-9*x+(4+77*x^2)^(1/2))/(9+x) revogf] A056918 16.4542 [-(9-4*x+9*x^2)/(9*x-2)/(x^2-9*x+1) lgdogf] A056918 6.27716 [-(77*f(x)-73)*(f(x)*x^2-9*f(x)*x+f(x)+9*x-2) ogf] A056918 6.96611 [{a(n+2)-9*a(n+1)+a(n),a(0)=2,a(1)=9} ogf] A056932 11.5006 [-(20+136*x+201*x^2+70*x^3+5*x^4)/(x-1)/(x^4+11*x^3+24*x^2+11*x+1) lgdogf] A056932 5.59566 [-(x^4+11*x^3+24*x^2+11*x+1)/(x-1)^9 ogf] A056965 6.13227 [9*x^10*(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A056967 6.21340 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(10*x^10-1) ogf] A056970 15.8353 [-(x^10+x^4+x)/(x^12-1) ogf_with_Euler_transform] A056986 3.66463 [{(-4*n^3-34*n^2-96*n-90)*a(n+1)+(n^3+14*n^2+51*n+50)*a(n+2)+(-n^2-6*n-5)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A056991 10.3834 [-(4+10*x+4*x^6+11*x^5+13*x^2+13*x^3+17*x^4)/(x-1)/(2*x+1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A056991 12.4294 [(2*x+1)*(x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A056992 8.14913 [-(9*x^8+x^7+4*x^6+9*x^5+7*x^4+7*x^3+9*x^2+4*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A057009 10.2359 [-(-7+72*x+288*x^3-252*x^2)/(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A057009 13.2139 [(4*x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A057009 6.37910 [{a(n+3)-11*a(n+2)+36*a(n+1)-36*a(n),a(0)=1,a(1)=7,a(2)=41} ogf] A057009 6.66646 [-(f(x)+18)*(36*f(x)*x^3-36*f(x)*x^2+11*f(x)*x-f(x)-4*x+1) ogf] A057010 4.42240 [{a(n+3)-38*a(n+2)+384*a(n+1)-1152*a(n),a(0)=1,a(1)=26,a(2)=604} ogf] A057010 4.61301 [-(68*f(x)-21)*(1152*f(x)*x^3-384*f(x)*x^2+38*f(x)*x-f(x)-12*x+1) ogf] A057010 7.82119 [-2*(-13+384*x-4032*x^2+13824*x^3)/(6*x-1)/(8*x-1)/(12*x-1)/(24*x-1) lgdogf] A057010 8.91850 [(12*x-1)/(6*x-1)/(8*x-1)/(24*x-1) ogf] A057029 8.82467 [-(x^4+5*x^3+4*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A057029 9.50436 [-(6+18*x+21*x^3+39*x^2+11*x^4+x^5)/(x-1)/(x+1)/(x^4+5*x^3+4*x^2+5*x+1) lgdogf] A057076 11.8075 [-(11*x-2)/(x^2-11*x+1) ogf] A057076 14.2997 [-(11-4*x+11*x^2)/(11*x-2)/(x^2-11*x+1) lgdogf] A057076 5.84159 [-(117*f(x)-113)*(f(x)*x^2-11*f(x)*x+f(x)+11*x-2) ogf] A057076 6.60656 [{a(n+2)-11*a(n+1)+a(n),a(0)=2,a(1)=11} ogf] A057077 13.9704 [f(x)*x^2+f(x)-x-1 ogf] A057077 15.3334 [(x+1)/(x^2+1) ogf] A057077 21.6074 [[x^3-2*x+1] ogf_with_Euler_transform] A057077 28.3527 [-(-1+2*x+x^2)/(x+1)/(1+x^2) lgdogf] A057077 9.82297 [{a(n+2)+a(n),a(0)=1,a(1)=1} ogf] A057078 10.9281 [f(x)*x^2+f(x)*x+f(x)-x-1 ogf] A057078 15.2994 [(x+1)/(x^2+x+1) ogf] A057078 22.3919 [-1/2*(-1+x+(-(1+3*x)*(-1+x))^(1/2))/(-1+x) revogf] A057078 27.4705 [[x^2-x] ogf_with_Euler_transform] A057078 39.1858 [-x*(x+2)/(x+1)/(x^2+x+1) lgdogf] A057078 8.49964 [{-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=0} ogf] A057079 10.0423 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A057079 18.2992 [(x+1)/(x^2-x+1) ogf] A057079 24.8915 [x^5-x^2-2*x+2 ogf_with_Euler_transform] A057079 25.8451 [-1/2*(-1-x+(-3*x^2+6*x+1)^(1/2))/(-1+x) revogf] A057079 34.7572 [-(-2+2*x+x^2)/(x+1)/(x^2-x+1) lgdogf] A057079 9.57518 [(3*f(x)-10)*(f(x)*x^2-f(x)*x+f(x)-x-1) ogf] A057080 13.6472 [(x+1)/(x^2-8*x+1) ogf] A057080 14.3367 [-1/2*(-1-8*x+(20*x+60*x^2+1)^(1/2))/(-1+x) revogf] A057080 19.4239 [-(-9+2*x+x^2)/(1+x)/(x^2-8*x+1) lgdogf] A057080 7.05891 [(70*f(x)+11)*(f(x)*x^2-8*f(x)*x+f(x)-x-1) ogf] A057080 7.48933 [{-a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A057081 12.7592 [(x+1)/(x^2-9*x+1) ogf] A057081 13.3902 [-1/2*(-9*x-1+(77*x^2+22*x+1)^(1/2))/(-1+x) revogf] A057081 17.5746 [-(-10+2*x+x^2)/(x+1)/(x^2-9*x+1) lgdogf] A057081 6.67634 [(22*f(x)+3)*(f(x)*x^2-9*f(x)*x+f(x)-x-1) ogf] A057081 6.91766 [{-a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A057083 19.5465 [1/(3*x^2-3*x+1) ogf] A057083 29.4147 [-3*(2*x-1)/(3*x^2+1-3*x) lgdogf] A057083 7.58863 [-(f(x)+2)*(3*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A057083 7.86627 [{-a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=3} ogf] A057084 14.8998 [-1/16*(-1-8*x+(16*x+32*x^2+1)^(1/2))/x revogf] A057084 17.5205 [1/(8*x^2-8*x+1) ogf] A057084 23.5914 [-8*(2*x-1)/(8*x^2+1-8*x) lgdogf] A057084 6.96598 [(41*f(x)+23)*(8*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A057084 7.05093 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=8} ogf] A057085 11.7879 [-9*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A057085 13.7342 [-1/18*(-9*x-1+(1+15*x)^(1/2)*(1+3*x)^(1/2))/x revogf] A057085 21.0753 [x/(9*x^2-9*x+1) ogf] A057085 25.7516 [-9*(2*x-1)/(9*x^2+1-9*x) lgdogf] A057085 8.58622 [{a(n+2)-9*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A057086 14.4202 [-1/20*(-10*x-1+(20*x+60*x^2+1)^(1/2))/x revogf] A057086 20.5288 [1/(10*x^2-10*x+1) ogf] A057086 20.8292 [-10*(2*x-1)/(10*x^2+1-10*x) lgdogf] A057086 8.45302 [{-a(n+2)+10*a(n+1)-10*a(n),a(0)=1,a(1)=10} ogf] A057086 8.45303 [(71*f(x)+29)*(10*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A057087 16.6916 [1/8/x*(-4*x-1+(32*x^2+8*x+1)^(1/2)) revogf] A057087 18.0779 [-1/(4*x^2+4*x-1) ogf] A057087 24.3419 [-4*(2*x+1)/(4*x^2-1+4*x) lgdogf] A057087 7.1876 [(29*f(x)-13)*(4*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A057087 7.27526 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=1,a(1)=4} ogf] A057088 15.7163 [1/10/x*(-1-5*x+(1+10*x+45*x^2)^(1/2)) revogf] A057088 24.0761 [-1/(5*x^2+5*x-1) ogf] A057088 24.2293 [-5*(2*x+1)/(5*x^2-1+5*x) lgdogf] A057088 9.57245 [(41*f(x)-16)*(5*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A057088 9.68917 [{-a(n+2)+5*a(n+1)+5*a(n),a(0)=1,a(1)=5} ogf] A057089 15.1406 [1/12/x*(-1-6*x+(1+12*x+60*x^2)^(1/2)) revogf] A057089 17.3389 [-1/(6*x^2+6*x-1) ogf] A057089 23.3417 [-6*(2*x+1)/(6*x^2-1+6*x) lgdogf] A057089 6.89379 [(55*f(x)-19)*(6*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A057089 6.97785 [{-a(n+2)+6*a(n+1)+6*a(n),a(0)=1,a(1)=6} ogf] A057090 16.1122 [1/14/x*(-1-7*x+(1+14*x+77*x^2)^(1/2)) revogf] A057090 20.4813 [-1/(7*x^2+7*x-1) ogf] A057090 24.8396 [-7*(2*x+1)/(7*x^2-1+7*x) lgdogf] A057090 8.14318 [(71*f(x)-22)*(7*f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A057090 8.24248 [{-a(n+2)+7*a(n+1)+7*a(n),a(0)=1,a(1)=7} ogf] A057091 15.1201 [1/16/x*(-1-8*x+(16*x+96*x^2+1)^(1/2)) revogf] A057091 21.4962 [-1/(8*x^2+8*x-1) ogf] A057091 23.3102 [-8*(2*x+1)/(8*x^2-1+8*x) lgdogf] A057091 8.54667 [(89*f(x)-25)*(8*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A057091 8.65089 [{-a(n+2)+8*a(n+1)+8*a(n),a(0)=1,a(1)=8} ogf] A057092 14.7222 [1/18/x*(-9*x-1+(117*x^2+18*x+1)^(1/2)) revogf] A057092 21.6807 [-1/(9*x^2+9*x-1) ogf] A057092 23.3102 [-9*(2*x+1)/(9*x^2-1+9*x) lgdogf] A057092 8.51741 [(109*f(x)-28)*(9*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A057092 8.72515 [{-a(n+2)+9*a(n+1)+9*a(n),a(0)=1,a(1)=9} ogf] A057093 17.5903 [1/20/x*(-10*x-1+(140*x^2+20*x+1)^(1/2)) revogf] A057093 19.9430 [-1/(10*x^2+10*x-1) ogf] A057093 25.4082 [-10*(2*x+1)/(10*x^2-1+10*x) lgdogf] A057093 8.11634 [(131*f(x)-31)*(10*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A057093 8.21182 [{-a(n+2)+10*a(n+1)+10*a(n),a(0)=1,a(1)=10} ogf] A057174 15.5480 [-(4*x^2+3*x+1)/(x-1)/(x+1)^2 ogf] A057174 23.7249 [-2*(1+4*x+x^2+2*x^3)/(x-1)/(x+1)/(4*x^2+3*x+1) lgdogf] A057174 8.24722 [(188*f(x)+253)*(f(x)*x^3+f(x)*x^2-f(x)*x+4*x^2-f(x)+3*x+1) ogf] A057174 8.46812 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A057198 14.9873 [-(4*x-3)/(3*x-1)/(x-1) ogf] A057198 17.4051 [-(3-8*x+7*x^2)/(x-1)/(3*x-1)/(x^2+x-1) lgdogf] A057198 7.49362 [-(7*f(x)+11)*(3*f(x)*x^2-4*f(x)*x+f(x)+4*x-3) ogf] A057198 8.22472 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=3,a(1)=8} ogf] A057310 5.93444 [-(x^4-x^3+3*x^2-x+1)*(x+1)^3/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A057310 7.51340 [-(4+2*x+4*x^5+38*x^4+4*x^3+4*x^8+25*x^6+25*x^2+2*x^7)/(x-1)/(1+x)/(x^2+1)/(x^2+x+1)/(x^4-x^3+3*x^2-x+1) lgdogf] A057331 6.19371 [-(f(x)*x-f(x)+2)^3 ogf] A057347 6.24132 [(x+1)*(x^10+2*x^9+3*x^7+2*x^5+x^4+2*x^3+x^2+x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057349 9.19420 [(2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+3*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057353 12.8092 [x^2*(x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A057353 14.1170 [-(2+4*x+3*x^5+5*x^4+7*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A057353 30.3791 [x^3-x^2+2 ogf_with_Euler_transform] A057354 13.0953 [-(1+3*x+x^5+7*x^4+2*x^3+4*x^6+2*x^2)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A057354 14.6693 [x^3*(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057354 27.0342 [x^4-x^3+x+1 ogf_with_Euler_transform] A057355 10.9754 [-(1+3*x+2*x^5+8*x^4+3*x^3+5*x^6+3*x^7+5*x^2)/(x-1)/(x^3+x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A057355 12.8498 [x^2*(x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057356 14.6547 [x^4*(x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057356 24.0910 [x^6-x^5+x^2+1 ogf_with_Euler_transform] A057356 9.12178 [-(1+x+2*x^5+2*x^4+2*x^3+9*x^6+x^7+x^8+4*x^2+5*x^9)/(x-1)/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A057357 13.0314 [x^3*(x^2+x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057357 27.1655 [x^6-x^5+x+1 ogf_with_Euler_transform] A057357 7.84934 [-(1+3*x+2*x^7+7*x^8+x^9+3*x^5+10*x^6+6*x^3+3*x^4+2*x^2+4*x^10)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A057358 11.6628 [x^2*(x^5+x^4+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057358 7.47397 [-(1+3*x+3*x^7+8*x^8+2*x^9+3*x^11+4*x^5+11*x^6+6*x^3+8*x^4+2*x^2+5*x^10)/(x-1)/(x^5+x^4+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A057359 10.3981 [x^2*(x^5+x^4+x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057359 7.17421 [-(2+5*x^10+2*x+3*x^11+5*x^5+9*x^4+7*x^3+12*x^6+10*x^7+3*x^8+5*x^2+7*x^9)/(x-1)/(x^5+x^4+x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A057360 13.0701 [x^3*(x^5+x^3+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A057360 7.87265 [-(1+x+11*x^7+2*x^8+2*x^9+x^11+4*x^12+3*x^5+3*x^6+2*x^3+7*x^4+4*x^2+7*x^10)/(x-1)/(x+1)/(x^2+1)/(x^5+x^3+1)/(x^4+1) lgdogf] A057361 10.4817 [x^2*(x^6+x^5+x^3+x^2+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A057362 10.0054 [x^3*(x^10+x^8+x^5+x^3+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057363 7.77753 [x^2*(x+1)*(x^2-x+1)*(x^8+x^7+x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A057364 7.77447 [x^3*(x+1)*(x^4-x^3+x^2-x+1)*(x^13+x^11+x^3+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^2 ogf] A057427 109.850 [1/(x+1)*x revogf] A057427 123.581 [-1/(x-1) lgdogf] A057427 13.8963 [{-a(n+2)+a(n+1),a(0)=0,a(1)=1} ogf] A057427 24.0644 [-f(x)*x+f(x)-x ogf] A057427 34.0221 [-x/(x-1) ogf] A057428 10.6090 [{a(n+2)-a(n+1),a(0)=0,a(1)=-1} ogf] A057428 138.463 [-1/(x-1) lgdogf] A057428 138.463 [x/(-1+x) revogf] A057428 18.3717 [f(x)*x-f(x)-x ogf] A057428 25.9738 [x/(x-1) ogf] A057446 13.0755 [-(101*x^3+31*x^2+19*x+73)/(x-1)/(x+1)/(x^2+1) ogf] A057446 7.43743 [-(208715211*f(x)-6305428300)*(f(x)*x^4+101*x^3+31*x^2-f(x)+19*x+73) ogf] A057446 8.54088 [-(19+62*x+303*x^2+292*x^3+57*x^4+62*x^5+101*x^6)/(x-1)/(x+1)/(x^2+1)/(101*x^3+31*x^2+19*x+73) lgdogf] A057524 11.0656 [-1/(x^2+x+1)/(x+1)/(x-1)^5 ogf] A057524 17.4065 [-(3+8*x+8*x^3+11*x^2)/(x-1)/(1+x)/(x^2+x+1) lgdogf] A057524 30.3499 [x^2+x+3 ogf_with_Euler_transform] A057538 10.6017 [(x^4+10*x^3+8*x^2+10*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A057538 8.64740 [-(11+27*x+35*x^5+59*x^4+37*x^3+21*x^6+49*x^2+x^7)/(x-1)/(1+x)/(x^2+1)/(x^4+10*x^3+8*x^2+10*x+1) lgdogf] A057539 6.91134 [(x^8+28*x^7+12*x^6+30*x^5+68*x^4+30*x^3+12*x^2+28*x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A057543 3.77349 [-(3*x^5-4*x^4-x^2+x-1)/(x-1)^2 ogf] A057544 4.18988 [-(2*x^4-2*x^3-x^2+x-1)/(x-1)^2 ogf] A057544 5.19806 [(1+x+4*x^4-10*x^3+6*x^2)/(-1+x)/(2*x^4-2*x^3-x^2+x-1) lgdogf] A057544 7.04376 [-(44*f(x)+1043)*(2*x^4+f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)+x-1) ogf] A057552 3.60179 [{(-4*n^2-30*n-56)*a(n+1)+(5*n^2+38*n+71)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=5,a(2)=20} ogf] A057553 3.29332 [-4*f(x)^2*x^4+9*x^3*f(x)^2-8*f(x)*x^4-6*f(x)^2*x^2+6*f(x)*x^3-4*x^4+f(x)^2*x+11*f(x)*x^2-3*x^3-11*f(x)*x+8*x^2+2*f(x)-2 ogf] A057566 13.7015 [-2*(x^2+4*x+1)*(2*x^2+x+1)/(x-1)/(x+1)/(2*x^3+4*x^2-x+1) lgdogf] A057566 8.74796 [x*(2*x^3+4*x^2-x+1)/(x+1)/(x-1)^4 ogf] A057569 16.3284 [-3*(1+5*x+2*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A057569 9.41783 [-x*(2*x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A057570 16.5171 [-(4+22*x+7*x^2+9*x^3)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A057570 9.31956 [-x*(3*x^2+x+3)/(x+1)^2/(x-1)^3 ogf] A057587 13.2958 [-(3+7*x+14*x^2-4*x^3+4*x^4)/(x-1)/(x+1)/(x^3-x^2+2*x+1) lgdogf] A057587 7.74657 [x*(x^3-x^2+2*x+1)/(x+1)^3/(x-1)^4 ogf] A057590 10.1314 [-(7+11*x+5*x^5+37*x^4-4*x^3+64*x^2)/(x-1)/(x+1)/(x^4+6*x^3-2*x^2+6*x+1) lgdogf] A057590 6.32698 [-x*(x^4+6*x^3-2*x^2+6*x+1)/(x+1)^4/(x-1)^5 ogf] A057592 6.77148 [-(5-14*x-14*x^7+4*x^8+16*x^5+3*x^6+34*x^3+10*x^4-10*x^2)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(4*x^4-7*x^3-8*x^2+2*x+1) lgdogf] A057592 8.15557 [-(4*x^4-7*x^3-8*x^2+2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A057597 10.582 [f(x)*x^3-f(x)*x^2-f(x)*x+x^2-f(x) ogf] A057597 20.9058 [-x^2/(x^3-x^2-x-1) ogf] A057597 32.6749 [-(3*x+1)*(x-1)/(-x^2-1-x+x^3) lgdogf] A057597 7.79217 [{a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A057614 7.52233 [-(51*x^10+102*x^9+204*x^8+408*x^7+37*x^6+259*x^5+518*x^4+47*x^3+94*x^2+188*x+17)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A057651 16.6671 [(x+1)/(5*x-1)/(x-1) ogf] A057651 17.1467 [-1/2*(-1-6*x+(1+16*x+16*x^2)^(1/2))/(5*x-1) revogf] A057651 20.4808 [-(-7+10*x+5*x^2)/(x-1)/(5*x-1)/(x+1) lgdogf] A057651 8.62093 [(32*f(x)+17)*(5*f(x)*x^2-6*f(x)*x+f(x)-x-1) ogf] A057651 9.14659 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=7} ogf] A057655 11.0928 [-(x^3+3*x^2-x+5)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A057656 20.9031 [-(3+x)/(-x-1) ogf_with_Euler_transform] A057658 3.33578 [{(-n^2-11*n-30)*a(n+1)+(2*n^2+16*n+54)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=8640,a(2)=172800} ogf] A057658 9.35590 [-2*(10+65*x+95*x^2+37*x^3+3*x^4)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A057666 15.8382 [-3*(15+33*x+8*x^2)/(x-1)/(4*x^2+13*x+4) lgdogf] A057666 5.35981 [240*x*(4*x^2+13*x+4)/(x-1)^8 ogf] A057675 11.1774 [-(7+62*x+2*x^4-8*x^3+57*x^2)/(x-1)/(2*x^4-8*x^3+27*x^2+2*x+1) lgdogf] A057675 7.24797 [-(2*x^4-8*x^3+27*x^2+2*x+1)/(x-1)^5 ogf] A057681 10.3199 [3*f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A057681 13.8248 [(x-1)^2/(3*x^2-3*x+1) ogf] A057681 29.4442 [(3*x-1)/(x-1)/(3*x^2-3*x+1) lgdogf] A057681 7.18345 [{a(n+3)-3*a(n+2)+3*a(n+1),a(0)=1,a(1)=1,a(2)=1} ogf] A057682 10.7173 [-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x ogf] A057682 14.6542 [-x*(x-1)/(3*x^2-3*x+1) ogf] A057682 17.4223 [-1/2*(-1-3*x+(-(1+3*x)*(-1+x))^(1/2))/(1+3*x) revogf] A057682 23.0589 [-(2-6*x+3*x^2)/(x-1)/(3*x^2-3*x+1) lgdogf] A057682 7.10949 [{a(n+3)-3*a(n+2)+3*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A057688 5.09769 [(3*x^15+17*x^14+33*x^13-2*x^12-4*x^11-8*x^10+49*x^9-3*x^8+5*x^7+10*x^6+2*x^5-7*x^4-61*x^3-13*x^2-26*x-5)/(x-1)/(x^2+x+1) ogf] A057693 28.7124 [(x^2+2)*(1+x)^2/(x^2+x+1) lgdegf] A057693 4.24817 [{(n^2+5*n+6)*a(n+1)+(n+3)*a(n+2)-a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A057703 13.7200 [-(3-7*x+2*x^4-2*x^3+10*x^2)/(x-1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A057703 7.34360 [x*(x^4-2*x^3+4*x^2-3*x+1)/(x-1)^6 ogf] A057711 12.3503 [x*(2*x^2-2*x+1)/(2*x-1)^2 ogf] A057711 28.9027 [-2/(2*x-1)/(2*x^2-2*x+1) lgdogf] A057711 6.22981 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A057711 7.90975 [f(x)*(4*f(x)*x^2-2*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A057717 12.8306 [-x*(x^9-x^8+x-2)/(x-1)^2 ogf] A057717 18.9573 [(3-x+7*x^9-15*x^8+8*x^7)/(x-1)/(x^9-x^8+x-2) lgdogf] A057721 11.5747 [-(5+28*x+54*x^2+28*x^3+5*x^4)/(x-1)/(5*x^4+4*x^3+14*x^2+1) lgdogf] A057721 7.44909 [-(5*x^4+4*x^3+14*x^2+1)/(x-1)^5 ogf] A057722 11.8342 [-(1-16*x+x^4-16*x^3-90*x^2)/(x-1)/(x^4-10*x^3-20*x^2+6*x-1) lgdogf] A057722 7.30720 [(x^4-10*x^3-20*x^2+6*x-1)/(x-1)^5 ogf] A057744 12.8819 [-(2*x^3-1)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A057744 14.4056 [-(2+4*x^6-3*x^2)/(x-1)/(2*x-1)/(2*x^3-1)/(x^2+x+1) lgdogf] A057744 5.92151 [{a(n+4)-2*a(n+3)-a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A057744 6.49793 [-(41*f(x)+30)*(2*f(x)*x^4-f(x)*x^3+2*x^3-2*f(x)*x+f(x)-1) ogf] A057769 14.0998 [-(-7-196*x-258*x^2-20*x^3+x^4)/(x-1)/(x^4-12*x^3-74*x^2-12*x+1) lgdogf] A057769 9.17468 [(x^4-12*x^3-74*x^2-12*x+1)/(x-1)^5 ogf] A057780 10.0085 [-3*x*(x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A057780 18.3882 [-(x+5)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A057781 11.5040 [-5*(1+2*x+x^4+2*x^3+18*x^2)/(x-1)/(5*x^4-5*x^3+35*x^2-15*x+4) lgdogf] A057781 7.37991 [-(5*x^4-5*x^3+35*x^2-15*x+4)/(x-1)^5 ogf] A057788 34.4383 [-(13+11*x)/(x-1)/(x+1) lgdogf] A057788 34.6852 [[13-x] ogf_with_Euler_transform] A057788 5.28159 [(x+1)/(x-1)^12 ogf] A057788 5.58777 [{(-n-3)*a(n+3)+13*a(n+2)+(12+n)*a(n+1),a(0)=1,a(1)=13,a(2)=90} ogf] A057813 10.6834 [(x+1)*(x^2+6*x+1)/(x-1)^4 ogf] A057813 17.9525 [-(11+35*x+17*x^2+x^3)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A057813 4.57011 [{(-2*n^2-7*n-6)*a(n+1)+(4*n^2+20*n+57)*a(n+2)+(-2*n^2-13*n-21)*a(n+3),a(0)=1,a(1)=11,a(2)=45} ogf] A057813 5.71264 [(2048*f(x)+10659)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-7*x^2+f(x)-7*x-1) ogf] A057814 10.6075 [-a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1/24 lgdegf] A057816 5.16719 [(8*x^17+24*x^16-2*x^15-6*x^14-2*x^13-6*x^12+40*x^11-4*x^10-12*x^9+88*x^8-8*x^7-24*x^6-6*x^5-18*x^4+152*x^3-14*x^2-171*x-43)/(x-1)/(x+1) ogf] A057819 14.4778 [-(7*x-4)/(x^2-4*x+1) ogf] A057819 18.7879 [-(9-8*x+7*x^2)/(7*x-4)/(x^2-4*x+1) lgdogf] A057819 19.3572 [-(-2-2*x+(4+x+3*x^2)^(1/2))/(x+7) revogf] A057819 7.15935 [-(28*f(x)-31)*(f(x)*x^2-4*f(x)*x+f(x)+7*x-4) ogf] A057819 7.94512 [{a(n+2)-4*a(n+1)+a(n),a(0)=4,a(1)=9} ogf] A057837 12.2326 [-a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1/6 lgdegf] A057886 11.6160 [-(1+3*x+6*x^6-6*x^5+3*x^2+5*x^3+4*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3-x^2+1) lgdogf] A057886 8.09055 [x^3*(x^3-x^2+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A057947 12.9655 [-(84*x^7-84*x^6+9*x-10)/(x-1)^2 ogf] A057947 13.3428 [(11-9*x+504*x^5-924*x^6+420*x^7)/(x-1)/(84*x^7-84*x^6+9*x-10) lgdogf] A057960 11.0646 [-(2-2*x-3*x^2+4*x^3+2*x^4)/(x-1)/(2*x^2+2*x-1)/(x^2+x-1) lgdogf] A057960 11.9396 [-(x^2+x-1)/(x-1)/(2*x^2+2*x-1) ogf] A057960 6.73193 [{a(n+3)-3*a(n+2)+2*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A057960 8.34188 [(50*f(x)-21)*(2*f(x)*x^3-3*f(x)*x+x^2+f(x)+x-1) ogf] A057977 6.18971 [4*f(x)^2*x^4-f(x)^2*x^2+4*f(x)*x^3-4*f(x)*x^2-f(x)*x+5*x^2+f(x)-1 ogf] A057979 12.8076 [-f(x)*x^4+2*f(x)*x^2+x^3-x^2-f(x)+1 ogf] A057979 15.7470 [(x^3-x^2+1)/(x-1)^2/(x+1)^2 ogf] A057979 21.5251 [-x*(2+x^3-2*x^2+3*x)/(x-1)/(1+x)/(x^3-x^2+1) lgdogf] A058001 3.97626 [(12*x^7+369*x^6+2514*x^5+4375*x^4+2360*x^3+423*x^2+26*x+1)/(x-1)^10 ogf] A058001 5.79909 [-12*(3+90*x+130*x^6+1232*x^5+3*x^7+3235*x^4+2835*x^3+872*x^2)/(x-1)/(12*x^7+369*x^6+2514*x^5+4375*x^4+2360*x^3+423*x^2+26*x+1) lgdogf] A058006 4.90383 [{(n+3)*a(n+1)+(-n-2)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A058031 12.6965 [-(1+12*x+54*x^2+44*x^3+9*x^4)/(x-1)/(9*x^4+4*x^3+14*x^2-4*x+1) lgdogf] A058031 8.35025 [-(9*x^4+4*x^3+14*x^2-4*x+1)/(x-1)^5 ogf] A058034 7.44842 [-(3+18*x+58*x^4+58*x^3+3*x^8+18*x^7+36*x^6+58*x^5+36*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^5+6*x^4+6*x^3+7*x^2+x+1) lgdogf] A058034 8.04339 [-(3*x^5+6*x^4+6*x^3+7*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A058035 5.63867 [(64*x^33-122*x^32+64*x^31+24*x^17-47*x^16+24*x^15-3)/(6*x^32+x^16-3)/(x-1)^2 ogf] A058038 15.3178 [-3*x/(x-1)/(x^2-7*x+1) ogf] A058038 20.6069 [-(8-16*x+3*x^2)/(x-1)/(x^2-7*x+1) lgdogf] A058038 6.15448 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=24} ogf] A058038 8.95198 [f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)+3*x ogf] A058051 2.97063 [-(f(x)*x-f(x)+x)^2 ogf] A058053 3.97122 [-(x^8-x^7+x^6+x^4+x^2-x+1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^3/(x+1)^3/(x-1)^7 ogf] A058094 7.19378 [-(3*x^5+x^4-5*x^3+7*x^2-5*x+1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) ogf] A058095 19.1730 [-(-4*x-4)/(x^3-1) ogf_with_Euler_transform] A058183 17.1551 [(-2-9*x^8+7*x^9)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) lgdogf] A058183 17.8485 [(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x-1)^2 ogf] A058183 29.0482 [-x^17+x^8+2 ogf_with_Euler_transform] A058183 4.67688 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=6,a(6)=7,a(7)=8,a(8)=9,a(9)=11} ogf] A058184 12.1590 [x^2*(2*x-1)/(x^4+x^2-2*x+1) ogf] A058184 17.3107 [-2*x*(-1+3*x^3-2*x^2+x)/(2*x-1)/(x^4+x^2-2*x+1) lgdogf] A058184 8.33372 [f(x)*x^4+f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x) ogf] A058187 11.4207 [1/(x+1)^3/(x-1)^4 ogf] A058187 39.5055 [[1+3*x] ogf_with_Euler_transform] A058187 40.8953 [-(1+7*x)/(x-1)/(x+1) lgdogf] A058187 6.22173 [{(n+3)*a(n+3)-a(n+2)+(-8-n)*a(n+1),a(0)=1,a(1)=1,a(2)=4} ogf] A058195 11.7617 [-(3*x+1)/(x+1)/(x-1)^5 ogf] A058195 19.5592 [-(7+18*x+15*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A058195 4.05777 [{(-n-4)*a(n+4)+(-2-3*n)*a(n+3)+(20+n)*a(n+2)+(18+3*n)*a(n+1),a(0)=1,a(1)=7,a(2)=23,a(3)=57} ogf] A058200 12.773 [-432*f(x)*x+f(x)+3879*x-9 ogf] A058200 13.3638 [1/862+24/431*x-1/2586*(9-860*x+20736*x^2)^(1/2) revogf] A058200 15.2060 [9*(-1+431*x)/(432*x-1) ogf] A058200 29.9093 [1/(432*x-1)/(431*x-1) lgdogf] A058200 8.63045 [{a(n+2)-432*a(n+1),a(0)=9,a(1)=9} ogf] A058207 10.9672 [-2*(-1-2*x+2*x^7+x^8-2*x^5-x^6+x^3-3*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3-x^2-x-1) lgdogf] A058207 11.4017 [-x*(x^4+x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A058212 12.6128 [-x^2*(x^4+3-2*x+5*x^2+2*x^3)/(x-1)/(x^2+x+1)/(x^4+x^2-2*x+1) lgdogf] A058212 8.99784 [-(x^4+x^2-2*x+1)/(x^2+x+1)/(x-1)^3 ogf] A058224 8.59223 [-(x^5-x^4-x^2+x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A058224 9.34665 [-(-1+x+3*x^3+x^9-x^8-x^7-x^6+2*x^5-4*x^4-5*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^5-x^4-x^2+x-1) lgdogf] A058276 7.43228 [(f(x)-1)^2 ogf] A058278 15.9863 [(x-1)*(x+1)/(x^3+x-1) ogf] A058278 18.8287 [-(-1+2*x+x^4-4*x^2)/(x-1)/(x+1)/(x^3+x-1) lgdogf] A058278 8.42287 [{a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A058278 8.80143 [(f(x)-4)*(f(x)*x^3+f(x)*x-x^2-f(x)+1) ogf] A058279 3.32107 [{(n+2)*a(n+1)+(n^2+5*n+4)*a(n+2)+(-n^2-10*n-22)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=17} ogf] A058281 10.6727 [-(-1-2*x+3*x^5+x^4-17*x^3-6*x^6-3*x^2+x^7)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^3-2*x^2-2*x-1) lgdogf] A058281 11.5526 [-(x^2-x+1)*(x^3-2*x^2-2*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A058307 6.02356 [{a(n+1)+(n+4)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A058308 5.62065 [{-a(n+1)+(-n-5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A058309 5.90689 [{-a(n+1)+(-n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A058310 12.1730 [-(x+1)*(x^3-3*x^2-18*x-10)/(x-1)/(x^2+x+1)/(x^2-4*x-1) lgdogf] A058310 8.36213 [(x^2+x+1)*(x^2-4*x-1)/(x-1)^5 ogf] A058319 13.1581 [(x^4-6*x^3+16*x^2-42*x-17)/(x-1) ogf] A058319 13.3123 [(59-32*x-16*x^3+3*x^4+34*x^2)/(x-1)/(x^4-6*x^3+16*x^2-42*x-17) lgdogf] A058319 8.0202 [(205055*f(x)+6820296)*(-x^4+6*x^3+f(x)*x-16*x^2-f(x)+42*x+17) ogf] A058331 13.3666 [-(3*x^2+1)/(x-1)^3 ogf] A058331 28.7148 [-3*(x+1)^2/(x-1)/(1+3*x^2) lgdogf] A058331 6.80267 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A058331 7.39708 [-f(x)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+1) ogf] A058333 11.1373 [-2*(-8-25*x+7*x^3+6*x^2)/(x-1)/(x+1)/(7*x^2-10*x-1) lgdogf] A058333 6.60915 [(x+1)*(7*x^2-10*x-1)/(x-1)^5 ogf] A058343 10.8502 [(f(x)-1)^2 egf] A058345 2.48742 [-(2*f(x)*x-f(x)-x+1)^2 ogf] A058349 37.3479 [-exp(-x)-exp(x)+x+2 revegf] A058364 16.8535 [-(9*x^8+1)/(x^9+x-1) ogf] A058364 17.9986 [-(1+9*x^16+72*x^7-54*x^8)/(x^9+x-1)/(9*x^8+1) lgdogf] A058365 16.2890 [-(8*x^7+1)/(x^8+x-1) ogf] A058365 17.3874 [-(1+8*x^14+56*x^6-40*x^7)/(x^8+x-1)/(8*x^7+1) lgdogf] A058366 16.3666 [-(7*x^6+1)/(x^7+x-1) ogf] A058366 17.4737 [-(1+42*x^5+7*x^12-28*x^6)/(7*x^6+1)/(x^7+x-1) lgdogf] A058367 16.8381 [-(6*x^5+1)/(x^6+x-1) ogf] A058367 17.9889 [-(1-18*x^5+30*x^4+6*x^10)/(6*x^5+1)/(x^6+x-1) lgdogf] A058368 13.7421 [-(1-10*x^4+20*x^3+5*x^8)/(x^2-x+1)/(5*x^4+1)/(x^3+x^2-1) lgdogf] A058368 16.0178 [-(5*x^4+1)/(x^2-x+1)/(x^3+x^2-1) ogf] A058368 8.09146 [(73601*f(x)-82125)*(f(x)*x^5+5*x^4+f(x)*x-f(x)+1) ogf] A058372 10.7255 [(x^2-5*x+2)/(x-1)^4 ogf] A058372 5.48192 [(2848*f(x)-6025)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+5*x-2) ogf] A058373 10.6840 [x^2*(3*x-1)/(x-1)^4 ogf] A058373 30.7165 [-(-1+9*x)/(-1+3*x)/(x-1) lgdogf] A058373 4.98105 [{(n+1)*a(n+3)+(-1-4*n)*a(n+2)+(6+3*n)*a(n+1),a(0)=0,a(1)=0,a(2)=-1} ogf] A058373 5.54282 [-(3*f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+x^2+f(x)) ogf] A058374 2.17225 [-(2*f(x)*x-f(x)-x+1)^2 ogf] A058381 21.7468 [-(exp(x)-1-2*x-x^2)*exp(-x) revegf] A058389 4.47022 [-(x^8+3*x^7+14*x^6+12*x^5+15*x^4+9*x^3+5*x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A058396 41.8808 [3/(-1+2*x)/(x-1) lgdogf] A058396 5.10121 [{-a(n+4)+6*a(n+3)-12*a(n+2)+8*a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=25} ogf] A058396 5.69634 [(f(x)-1)*(8*f(x)*x^3-12*f(x)*x^2-x^3+6*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A058396 9.76517 [(x-1)^3/(2*x-1)^3 ogf] A058481 13.9485 [(3*x+1)/(3*x-1)/(x-1) ogf] A058481 14.9953 [-1/6*(-4*x-1+(4*x^2+20*x+1)^(1/2))/(-1+x) revogf] A058481 16.1791 [-(-7+6*x+9*x^2)/(x-1)/(-1+3*x)/(3*x+1) lgdogf] A058481 7.21472 [(22*f(x)+27)*(3*f(x)*x^2-4*f(x)*x+f(x)-3*x-1) ogf] A058481 7.65466 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=7} ogf] A058482 10.5636 [-(21*x^2+14*x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A058482 5.80996 [(221*f(x)-371)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+21*x^2-f(x)+14*x+1) ogf] A058482 5.90843 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=1,a(1)=25,a(2)=265} ogf] A058482 9.25699 [-(25-20*x+441*x^4+588*x^3-602*x^2)/(-1+x)/(-1+3*x)/(7*x-1)/(21*x^2+14*x+1) lgdogf] A058484 17.3967 [-(-6*x^4-6)/(-x^6+1) ogf_with_Euler_transform] A058485 14.8162 [-(-2*x^4-4*x^3-4*x-2)/(x^6-1) ogf_with_Euler_transform] A058487 21.2396 [-(2*x-2)/(x^3+1) ogf_with_Euler_transform] A058492 13.7115 [-(-3*x^4-6*x^2-3)/(x^6-1) ogf_with_Euler_transform] A058511 15.2776 [-(-2*x^3-2*x^2-2*x-2)/(x^5-1) ogf_with_Euler_transform] A058514 99.9999 Evaluated at exp(-Pi) exp(-1/2*Pi)*2^(3/4)*(2+2^(1/2)) A058539 17.9922 [-(-4*x^4-4)/(-x^6+1) ogf_with_Euler_transform] A058543 15.1926 [-(2*x^4+4*x^2+2)/(-x^6+1) ogf_with_Euler_transform] A058562 40.8781 [-2*x+3*ln(1+x) revegf] A058571 99.9999 Evaluated at exp(-Pi) 2*exp(-1/2*Pi)*(1+3^(1/2)) A058574 7.23667 [-(-x^10-x^9-2*x^8-x^6-2*x^5-x^4-2*x^2-x-1)/(x^12-1) ogf_with_Euler_transform] A058576 20.5045 [-(-3*x^4-3)/(-x^6+1) ogf_with_Euler_transform] A058581 13.0492 [-2*(-17-93*x-51*x^2+x^3)/(x-1)/(x^3-35*x^2-29*x-1) lgdogf] A058581 3.60196 [{(19*n^2+98*n+120)*a(n+1)+(-6*n^2+72*n+180)*a(n+2)+(-13*n^2-42*n-32)*a(n+3),a(0)=0,a(1)=1,a(2)=34} ogf] A058581 7.12645 [x*(x^3-35*x^2-29*x-1)/(x-1)^5 ogf] A058582 12.3223 [(4*x^2+3*x+1)/(2*x^2-1)^2 ogf] A058582 14.6391 [-(3+16*x+18*x^2+16*x^3)/(2*x^2-1)/(4*x^2+3*x+1) lgdogf] A058582 7.47202 [(14*f(x)+5)*(4*f(x)*x^4-4*f(x)*x^2-4*x^2+f(x)-3*x-1) ogf] A058584 99.9999 Evaluated at exp(-Pi) 4*exp(-1/2*Pi)*GAMMA(3/4)^2/GAMMA(11/12)/GAMMA(7/12) A058607 4.34504 [{(16*n^3+144*n^2+428*n+420)*a(n+1)+(-8*n^2-56*n-98)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=9,a(2)=110} ogf] A058622 3.58525 [{(-8*n-16)*a(n+1)+(4*n+12)*a(n+2)+(2*n+6)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=4} ogf] A058622 6.47977 [-8*x^3*f(x)^2+4*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x^2-f(x)^2+f(x)-x ogf] A058632 99.9999 Evaluated at exp(-Pi) exp(-1/4*Pi)*2^(3/8)*(2+2^(1/2))^(1/2) A058645 15.7203 [-2*(-5-4*x+4*x^2)/(-1+2*x)/(2*x^2-2*x-1) lgdogf] A058645 3.48955 [{(-3-n)*a(n+4)+10*a(n+3)+(14+6*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=54} ogf] A058645 4.43463 [-(736*f(x)+789)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+2*x^3-8*f(x)*x-2*x^2+f(x)-x) ogf] A058645 8.40247 [-x*(2*x^2-2*x-1)/(2*x-1)^4 ogf] A058649 16.1749 [-6*(-3-8*x+8*x^2)/(-1+2*x)/(8*x^2-8*x-1) lgdogf] A058649 3.25075 [{(-3-n)*a(n+4)+(6-6*n)*a(n+3)+(72+24*n)*a(n+2)+(-48-16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=18,a(3)=132} ogf] A058649 7.63549 [x*(8*x^2-8*x-1)/(2*x-1)^5 ogf] A058667 10.1887 [x/(2*x-1)^4 egf] A058667 4.23849 [-(28*f(x)+9)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-x) egf] A058667 4.68858 [{(-2*n^2-12*n-16)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=1} ogf] A058667 52.1311 [-8/(2*x-1) lgdegf] A058686 12.3872 [-(-x^13-x^12-x^10-x^7-x^6-x^3-x-1)/(-x^15+1) ogf_with_Euler_transform] A058764 10.0555 [(f(x)-2)*(2*f(x)*x-2*x^2-f(x)+2) ogf] A058764 15.4493 [2*(x^2-x+1)/(-1+x)/(2*x-1)/(x+1) lgdogf] A058764 17.4132 [2*(x-1)*(x+1)/(2*x-1) ogf] A058764 8.49931 [{-a(n+3)+2*a(n+2),a(0)=2,a(1)=4,a(2)=6} ogf] A058794 17.4455 [-(9+7*x+x^3-5*x^2)/(x-1)/(x^3-4*x^2+5*x+1) lgdogf] A058794 3.91291 [{(-19*n^2-173*n-270)*a(n+1)+(-52*n^2-476*n-960)*a(n+2)+(71*n^2+379*n+498)*a(n+3),a(0)=2,a(1)=18,a(2)=52} ogf] A058794 5.30047 [(81*f(x)+535)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+8*x^2+f(x)-10*x-2) ogf] A058794 9.58162 [2*(x^3-4*x^2+5*x+1)/(x-1)^4 ogf] A058795 10.7014 [-(-85-92*x+84*x^2-32*x^3+5*x^4)/(x-1)/(5*x^4-26*x^3+54*x^2-50*x-7) lgdogf] A058795 7.34981 [(5*x^4-26*x^3+54*x^2-50*x-7)/(x-1)^5 ogf] A058796 5.57188 [3*(6*x^5-37*x^4+96*x^3-134*x^2+98*x+11)/(x-1)^6 ogf] A058796 7.84047 [-2*(82+111*x+3*x^5-22*x^4+70*x^3-124*x^2)/(x-1)/(6*x^5-37*x^4+96*x^3-134*x^2+98*x+11) lgdogf] A058797 5.44021 [{-a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A058798 4.86603 [{-a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A058799 4.50326 [{a(n+1)+(-n-5)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A058806 4.20863 [{(16*n^3+112*n^2+260*n+200)*a(n+1)+(-8*n^2-44*n-62)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=5,a(2)=47} ogf] A058809 17.1711 [6*x^2/(3*x-1)/(x-1) ogf] A058809 26.2006 [-2*(3*x-2)/(3*x-1)/(x-1) lgdogf] A058809 6.35330 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=0,a(1)=0,a(2)=6} ogf] A058809 8.25102 [f(x)*(3*f(x)*x^2-4*f(x)*x-6*x^2+f(x)) ogf] A058839 15.0158 [-(-x^5+x^4+x^2)/(-x+1) ogf_with_Euler_transform] A058844 3.61241 [(288*x^6-1560*x^5+3500*x^4-4130*x^3+2625*x^2-840*x+105)/(4*x-1)/(3*x-1)^2/(2*x-1)^3/(x-1)^4 ogf] A058877 11.4296 [-x*(3*x-2)/(2*x-1)^2/(x-1)^2 ogf] A058877 19.8810 [-(9-25*x+18*x^2)/(x-1)/(2*x-1)/(3*x-2) lgdogf] A058877 3.82890 [{(6+2*n)*a(n+4)+(-9*n-27)*a(n+3)+(38+13*n)*a(n+2)+(-18-6*n)*a(n+1),a(0)=0,a(1)=2,a(2)=9,a(3)=28} ogf] A058877 5.75774 [-(6*f(x)-227)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+3*x^2+f(x)-2*x) ogf] A058887 11.5797 [-(16*x^8+12*x^6+2*x^3+10*x^2+4*x+3)/(x-1) ogf] A058887 8.88024 [(-7-20*x+60*x^6-72*x^5-128*x^7+4*x^3+112*x^8+4*x^2)/(x-1)/(16*x^8+12*x^6+2*x^3+10*x^2+4*x+3) lgdogf] A058895 24.2916 [-3*(13+6*x+x^2)/(x-1)/(x^2+4*x+7) lgdogf] A058895 4.19091 [{(-37*n^2-648*n-1148)*a(n+1)+(426*n^2+2186*n-1443)*a(n+2)+(-389*n^2-130*n+259)*a(n+3),a(0)=0,a(1)=0,a(2)=14} ogf] A058895 9.19143 [-2*x^2*(x^2+4*x+7)/(x-1)^5 ogf] A058896 12.167 [4*f(x)*x^2-5*f(x)*x+f(x)-15*x+3 ogf] A058896 14.8494 [1/2/(-15+4*x)*(-3+5*x+3^(1/2)*((x+3)*(1+3*x))^(1/2)) revogf] A058896 16.9280 [3*(5*x-1)/(4*x-1)/(x-1) ogf] A058896 22.0620 [-4*x*(-2+5*x)/(x-1)/(4*x-1)/(5*x-1) lgdogf] A058896 9.61341 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=-3,a(1)=0} ogf] A058919 13.0310 [-(1+4*x+5*x^4+20*x^3+30*x^2)/(x-1)/(5*x^4+10*x^2-4*x+1) lgdogf] A058919 8.30725 [-(5*x^4+10*x^2-4*x+1)/(x-1)^5 ogf] A058920 11.2665 [-2*(5+35*x+60*x^2+19*x^3+x^4)/(x-1)/(2*x^4+15*x^3+25*x^2+5*x+1) lgdogf] A058920 7.46163 [-(2*x^4+15*x^3+25*x^2+5*x+1)/(x-1)^5 ogf] A058922 10.8438 [-4*f(x)*x^2+4*f(x)*x-f(x)+4*x ogf] A058922 17.2914 [4*x/(2*x-1)^2 ogf] A058922 29.9898 [x/(1+(2*x+1)^(1/2))^2 revogf] A058922 62.9786 [-4/(2*x-1) lgdogf] A058922 7.89854 [{a(n+2)-4*a(n+1)+4*a(n),a(0)=0,a(1)=4} ogf] A058923 16.7923 [-(1-6*x+x^4+9*x^2)/(x-1)/(x^4-2*x^3+5*x^2-4*x+1) lgdogf] A058923 8.48455 [-(x^4-2*x^3+5*x^2-4*x+1)/(x-1)^5 ogf] A058937 15.0487 [-x^4*(2*x+5+2*x^2)/(x-1)/(x^2+x+1)/(2*x^4-x^3+x^2-2*x+1) lgdogf] A058937 5.01624 [{-a(n)*n-2*a(n+1)-2*a(n+2)+(n-2)*a(n+3),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A058937 9.06159 [-(2*x^4-x^3+x^2-2*x+1)/(x^2+x+1)/(x-1)^3 ogf] A058961 2.87385 [-(2*f(x)*x-f(x)+1)^3 ogf] A058962 14.9277 [(4*x+1)/(4*x-1)^2 ogf] A058962 18.2197 [-1/8*(-1-8*x+(1+32*x)^(1/2))/(-1+4*x) revogf] A058962 25.9281 [-4*(3+4*x)/(4*x-1)/(4*x+1) lgdogf] A058962 7.8031 [(16*f(x)+65)*(16*f(x)*x^2-8*f(x)*x+f(x)-4*x-1) ogf] A058962 8.17467 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=1,a(1)=12} ogf] A058966 11.6379 [-2*(1+2*x+8*x^3-10*x^2)/(x-1)/(2*x-1)/(8*x^3-8*x^2+3*x-1) lgdogf] A058966 5.05095 [{-a(n+4)+5*a(n+3)-8*a(n+2)+4*a(n+1),a(0)=1,a(1)=2,a(2)=10,a(3)=30} ogf] A058966 5.41461 [-(f(x)+139)*(4*f(x)*x^3-8*f(x)*x^2-8*x^3+5*f(x)*x+8*x^2-f(x)-3*x+1) ogf] A058966 9.80909 [(8*x^3-8*x^2+3*x-1)/(x-1)/(2*x-1)^2 ogf] A058967 5.76436 [(120*x^8-184*x^7+62*x^6+8*x^4-16*x^3+11*x^2-4*x+1)/(2*x-1)^2/(x-1)^2 ogf] A058968 10.9851 [(8*x^2-8*x-1)/(2*x-1)/(x-1)^2 ogf] A058968 13.1325 [-2*(6-7*x+8*x^3-8*x^2)/(x-1)/(2*x-1)/(8*x^2-8*x-1) lgdogf] A058968 5.5841 [(12097*f(x)-517956)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-8*x^2-f(x)+8*x+1) ogf] A058968 5.87801 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=12,a(2)=35} ogf] A058985 5.90683 [-(74*x^5+8*x^4-92*x^3+66*x^2-3*x-6)/(x-1)^6 ogf] A058985 9.10279 [-(-39+117*x+74*x^5+386*x^4-244*x^3-12*x^2)/(x-1)/(74*x^5+8*x^4-92*x^3+66*x^2-3*x-6) lgdogf] A058992 12.8605 [x*(x^3-x^2+x+1)/(x-1)^2 ogf] A058992 24.9533 [(x-3)*(1+x^2)/(x-1)/(x^3-x^2+x+1) lgdogf] A058992 6.68748 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=0,a(1)=1,a(2)=3,a(3)=4,a(4)=6} ogf] A058992 7.96129 [(2*f(x)+3)*(-x^4+f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-x) ogf] A059019 6.38927 [x^3*f(x)^2+2*f(x)^2*x^2-3*f(x)^2*x+f(x)^2+3*f(x)*x-2*f(x)+1 ogf] A059019 7.76251 [1/2*(-3+16*x-12*x^3-13*x^2+(-(-1+4*x)*(1-6*x+3*x^2)^2)^(1/2))/(-1+4*x)/(x^3+2*x^2-3*x+1) lgdogf] A059020 11.8673 [-x*(x+3)/(x^2+2*x-1)/(x-1)^2 ogf] A059020 13.6008 [-(-13+11*x+3*x^3+15*x^2)/(x-1)/(x+3)/(-1+2*x+x^2) lgdogf] A059020 3.34870 [{(4*n+15)*a(n+1)+(4*n+19)*a(n+2)+(-12*n-37)*a(n+3)+(4*n+11)*a(n+4),a(0)=0,a(1)=3,a(2)=13,a(3)=40} ogf] A059020 6.03962 [(2128*f(x)+339)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x+x^2-f(x)+3*x) ogf] A059021 4.19467 [-2*x*(x^5-4*x^4-3*x^3+7*x^2-7*x+3)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1)/(x-1)^2 ogf] A059027 4.24099 [x^3*f(x)^2+6*f(x)^2*x^2-2*f(x)*x^3-5*f(x)^2*x-7*f(x)*x^2+x^3+f(x)^2+8*f(x)*x+2*x^2-2*f(x)-3*x+1 ogf] A059029 14.3878 [x*(x^2+2*x+3)/(x-1)^2/(x+1)^2 ogf] A059029 19.6591 [-2*(1+7*x+x^3+3*x^2)/(x-1)/(1+x)/(x^2+2*x+3) lgdogf] A059029 8.27979 [-(516*f(x)-1427)*(f(x)*x^4-2*f(x)*x^2-x^3-2*x^2+f(x)-3*x) ogf] A059030 12.3506 [-(3+2*x+4*x^4+15*x^3+3*x^5+15*x^2)/(x-1)/(x^2+x+1)/(x^3+x^2+3*x+2) lgdogf] A059030 12.7966 [2*(x^3+x^2+3*x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A059031 7.09018 [-(-3-18*x-48*x^5-26*x^4-52*x^3-3*x^8-10*x^6-6*x^2+2*x^9-12*x^7)/(x-1)/(1+x)/(1+x^2)/(x^6-x^5-3*x^4-2*x^3-9*x^2-3*x-5) lgdogf] A059031 9.50909 [-(x^6-x^5-3*x^4-2*x^3-9*x^2-3*x-5)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A059100 13.3393 [-(3*x^2-3*x+2)/(x-1)^3 ogf] A059100 26.6017 [-3*(1+x^2)/(x-1)/(3*x^2-3*x+2) lgdogf] A059100 6.83782 [-(124*f(x)-113)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-3*x+2) ogf] A059100 7.26518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A059108 5.27334 [-(f(x)-x-1)^3 ogf] A059115 21.4369 [(-2+3*x)/(2*x-1)/(x-1)^2 lgdegf] A059115 3.04073 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(8+5*n)*a(n+1)-2*n*a(n),a(0)=1,a(1)=2,a(2)=9/2} egf] A059116 10.0784 [-(19-54*x+324*x^3-189*x^2)/(-1+x)/(6*x-1)/(-1+3*x)/(9*x+1) lgdogf] A059116 4.37509 [{a(n+4)-10*a(n+3)+27*a(n+2)-18*a(n+1),a(0)=0,a(1)=0,a(2)=6,a(3)=114} ogf] A059116 5.32106 [-f(x)*(18*f(x)*x^3-27*f(x)*x^2+54*x^3+10*f(x)*x+6*x^2-f(x)) ogf] A059116 9.08672 [-6*x^2*(9*x+1)/(x-1)/(6*x-1)/(3*x-1) ogf] A059133 3.88325 [-2*(x+2)/(2*x-1)/(x-1)^2 ogf] A059133 5.26972 [-(-9+11*x+4*x^2)/(-1+x)/(2*x-1)/(2+x) lgdogf] A059133 8.00102 [(15681*f(x)-52696)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+2*x+4) ogf] A059135 4.08669 [-(10*x+11)/(2*x-1)/(x-1)^2 ogf] A059135 6.57565 [(29439921*f(x)-313789676)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+10*x+11) ogf] A059138 4.23440 [-18*(x+1)/(2*x-1)/(x-1)^2 ogf] A059138 6.16834 [-(-5+5*x+4*x^2)/(-1+x)/(2*x-1)/(x+1) lgdogf] A059138 6.73459 [(3971*f(x)-170028)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+18*x+18) ogf] A059140 3.72996 [(x-4)/(2*x-1)/(x-1)^2 ogf] A059140 6.96163 [(8013*f(x)-23852)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)-x+4) ogf] A059142 4.01193 [(4*x-11)/(2*x-1)/(x-1)^2 ogf] A059142 6.65452 [(312557*f(x)-2691652)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)-4*x+11) ogf] A059145 4.06207 [3*(2*x-5)/(2*x-1)/(x-1)^2 ogf] A059145 5.21300 [-2*(9-16*x+4*x^2)/(2*x-5)/(-1+x)/(2*x-1) lgdogf] A059145 6.89269 [(19483*f(x)-234740)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)-6*x+15) ogf] A059153 20.7508 [-1/8*(-2-3*x+(4+12*x+x^2)^(1/2))/x revogf] A059153 21.7648 [4/(4*x-1)/(2*x-1) ogf] A059153 25.1974 [-2*(-3+8*x)/(-1+4*x)/(2*x-1) lgdogf] A059153 8.55048 [(31*f(x)+200)*(8*f(x)*x^2-6*f(x)*x+f(x)-4) ogf] A059153 8.65348 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=4,a(1)=24} ogf] A059155 12.4825 [-1/32*(-12-10*x+(2+3*x)^(1/2)*(6+x)^(1/2)*2^(1/2)*6^(1/2))/x revogf] A059155 21.1425 [12/(8*x-1)/(2*x-1) ogf] A059155 25.8259 [-2*(-5+16*x)/(-1+8*x)/(2*x-1) lgdogf] A059155 8.74862 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=12,a(1)=120} ogf] A059155 8.85036 [(17*f(x)+96)*(16*f(x)*x^2-10*f(x)*x+f(x)-12) ogf] A059158 10.9612 [-1/32*(-12-9*x+(144+216*x+49*x^2)^(1/2))/x revogf] A059158 13.0889 [24/(16*x-1)/(2*x-1) ogf] A059158 15.3456 [-2*(-9+32*x)/(-1+16*x)/(2*x-1) lgdogf] A059158 5.41610 [{-a(n+2)+18*a(n+1)-32*a(n),a(0)=24,a(1)=432} ogf] A059158 7.62296 [(4681*f(x)+45120)*(32*f(x)*x^2-18*f(x)*x+f(x)-24) ogf] A059160 10.7708 [-(5*x^4+5*x+5)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A059162 13.0202 [-4*f(x)*x^2+4*f(x)*x-f(x)+12 ogf] A059162 22.2060 [-4/(2*x-1) lgdogf] A059162 22.9769 [12/(2*x-1)^2 ogf] A059162 9.30017 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=12,a(1)=48} ogf] A059162 9.65479 [3*x/(3+(9+6*x)^(1/2))^2 revogf] A059165 10.8763 [-4*f(x)*x^2+4*f(x)*x-f(x)+16*x ogf] A059165 17.1731 [16*x/(2*x-1)^2 ogf] A059165 30.6042 [x/(2+(2*x+4)^(1/2))^2 revogf] A059165 64.2689 [-4/(2*x-1) lgdogf] A059165 7.95824 [{a(n+2)-4*a(n+1)+4*a(n),a(0)=0,a(1)=16} ogf] A059169 13.2202 [x^2*(x^2-x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A059169 16.2104 [-x*(2+3*x^4+5*x^2-3*x^3+x)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A059169 24.5852 [-x^5+x^3+x^2+x ogf_with_Euler_transform] A059169 7.66547 [(2*f(x)+3)*(f(x)*x^5-f(x)*x^4-x^4+x^3-f(x)*x-x^2+f(x)) ogf] A059171 3.50303 [{(3*n^3+3*n^2-6*n)*a(n)+(n^3+2*n^2+7*n+6)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=1} ogf] A059173 12.6916 [-2*(1-2*x+3*x^2+3*x^4)/(x-1)/(x^5+x^4-2*x^3+4*x^2-3*x+1) lgdogf] A059173 7.04257 [-(x^5+x^4-2*x^3+4*x^2-3*x+1)/(x-1)^5 ogf] A059174 10.0074 [-2*(1-3*x+5*x^2-3*x^3+3*x^4+3*x^5)/(x-1)/(x^6+3*x^4-6*x^3+7*x^2-4*x+1) lgdogf] A059174 6.38359 [(x^6+3*x^4-6*x^3+7*x^2-4*x+1)/(x-1)^6 ogf] A059193 12.0526 [(3*x^3-7*x^2-x-3)/(x-1)^3 ogf] A059193 20.9290 [-2*(-5-8*x+x^2)/(x-1)/(3*x^3-7*x^2-x-3) lgdogf] A059193 6.16024 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=3,a(1)=10,a(2)=28,a(3)=54} ogf] A059193 6.70671 [(232*f(x)-2343)*(f(x)*x^3-3*f(x)*x^2-3*x^3+3*f(x)*x+7*x^2-f(x)+x+3) ogf] A059204 4.46279 [{(-2*n^2-2*n)*a(n)+(n^2+3*n-2)*a(n+1)+(1-n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A059222 10.4266 [-4*f(x)*x^4+5*f(x)*x^2-4*x^3-x^2-f(x)+x+1 ogf] A059222 12.6724 [-(4*x^3+x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A059222 9.51362 [-(1+8*x+16*x^6+8*x^5+8*x^4-16*x^3-7*x^2)/(-1+x)/(2*x+1)/(2*x-1)/(x+1)/(4*x^3+x^2-x-1) lgdogf] A059224 15.0738 [-(35-56*x+20*x^2)/(x-1)/(10*x-9)/(-1+2*x) lgdogf] A059224 5.17131 [(2384*f(x)-61875)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+20*x^2-f(x)-38*x+18) ogf] A059224 5.39231 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=18,a(1)=70,a(2)=224} ogf] A059224 9.70615 [-2*(10*x-9)*(x-1)/(2*x-1)^3 ogf] A059227 6.06204 [f(x)^2*x+f(x)*x^2-f(x)^2-5*f(x)*x-x^2+3*f(x)+3*x-2 ogf] A059228 4.90383 [f(x)^2*x^2-f(x)*x^3-2*f(x)^2*x+2*f(x)*x^2+x^3-2*f(x)*x-3*x^2+f(x)+3*x-1 ogf] A059229 4.3149 [x^3*f(x)^2-2*f(x)^2*x^2+2*f(x)*x^3+f(x)^2*x-9*f(x)*x^2+7*f(x)*x-2*x^2-f(x)+2*x ogf] A059231 10.9267 [-1/2*(1-3*x+(9*x-1)^(1/2)*(x-1)^(1/2))/(9*x-1)^(1/2)/(x-1)^(1/2)/x lgdogf] A059231 12.4357 [-4*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A059231 3.42853 [{(27*n^2+27*n)*a(n)+(-39*n^2-111*n-72)*a(n+1)+(13*n^2+67*n+84)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A059231 37.9559 [x*(-1+4*x)/(-1+3*x) revogf] A059255 14.0540 [-(73+301*x+187*x^2+15*x^3)/(x-1)/(x+1)/(5*x^2+38*x+5) lgdogf] A059255 4.01631 [{(-14*n^2-83*n-123)*a(n+1)+(28*n^2+140*n+331)*a(n+2)+(-14*n^2-57*n-58)*a(n+3),a(0)=0,a(1)=25,a(2)=365} ogf] A059255 7.12326 [5*x*(x+1)*(5*x^2+38*x+5)/(x-1)^6 ogf] A059270 11.5207 [3*x*(x+1)/(x-1)^4 ogf] A059270 35.4144 [[5-x] ogf_with_Euler_transform] A059270 36.8888 [-(3*x+5)/(x-1)/(1+x) lgdogf] A059270 5.58838 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=3,a(2)=15} ogf] A059270 5.71636 [(2144*f(x)+5379)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-3*x) ogf] A059271 4.0941 [-2*f(x)^2*x^2-f(x)*x^3+x^4+4*f(x)^2*x+9*f(x)*x^2-4*x^3-2*f(x)^2-9*f(x)*x+5*x^2+2*f(x)-2*x ogf] A059272 12.0289 [1/2/(-1+x)*(2*x^2-x-1+((-1+x)*(4*x^3-8*x^2+x-1))^(1/2)) revogf] A059272 6.77773 [2*f(x)^2*x-f(x)*x^2-2*f(x)^2-f(x)*x+x^2+f(x)-x ogf] A059275 6.21181 [-f(x)*x^3+6*f(x)*x^2-f(x)^2-12*f(x)*x-2*x^2+5*f(x)+6*x-4 ogf] A059278 13.0612 [1/4+1/2*x-1/4*x^2-1/4*(1-4*x+10*x^2-4*x^3+x^4)^(1/2) revogf] A059278 8.54393 [-f(x)^2*x^2+f(x)^2*x+2*f(x)*x-f(x)-2*x+1 ogf] A059279 16.8010 [1/2+x-x^2-1/2*(1-8*x^3+4*x^4+4*x^2)^(1/2) revogf] A059279 3.49112 [{(8*n+12)*a(n+1)+(-16*n-44)*a(n+2)+(8*n+30)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=20} ogf] A059279 8.66315 [2*f(x)^2*x^2-f(x)^2*x-2*f(x)*x+f(x)+x-1 ogf] A059280 14.6486 [(-1+2*x-2*x^2)*f(x)+(1-4*x+4*x^2)*f(x)^2 lgdegf] A059280 2.95901 [{(2*n^2+10*n+12)*a(n+1)+(-4*n^2-22*n-30)*a(n+2)+(4*n+13)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=19} ogf] A059281 16.4729 [(-2+5*x+2*x^3-4*x^2)/(x-1)/(-1+2*x)^2 lgdegf] A059284 10.6717 [-(-1+6*x+3*x^2+2*(1-6*x-3*x^2)^(1/2))/(x+1)/(3*x^2+6*x-1) lgdogf] A059284 20.9753 [(2-x+(1-4*x)^(1/2))/(3+x^2)*x revogf] A059284 8.50449 [-f(x)^2*x^2-2*f(x)^2*x-f(x)^2+4*f(x)-3 ogf] A059293 6.48141 [-(3*x^7-x^6+x^5+x^4+x^3+x^2-2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A059302 13.2713 [-(4*x-1)/(x-1)^5 ogf] A059302 37.3878 [-(-1+16*x)/(-1+4*x)/(x-1) lgdogf] A059302 6.19910 [{(n+3)*a(n+3)+(-11-5*n)*a(n+2)+(20+4*n)*a(n+1),a(0)=-1,a(1)=-1,a(2)=5} ogf] A059304 12.7818 [-8*f(x)^2*x+f(x)^2-1 ogf] A059304 22.5279 [(-4*x+(16*x^2+1)^(1/2))*x revogf] A059304 5.47790 [{(-n-2)*a(n+2)+(12+8*n)*a(n+1),a(0)=1,a(1)=4} ogf] A059304 51.1997 [-4/(-1+8*x) lgdogf] A059329 19.4189 [-2*(1+5*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A059329 25.8096 [[-2*x^3+4*x+2] ogf_with_Euler_transform] A059329 8.46128 [(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A059338 5.30674 [(16*x^4-32*x^3-6*x^2+22*x+1)/(2*x-1)^6 ogf] A059338 8.27180 [-2*(17+104*x-72*x^2-64*x^3+32*x^4)/(2*x-1)/(16*x^4-32*x^3-6*x^2+22*x+1) lgdogf] A059345 15.0995 [-(-1-5*x+2*x^3+3*x^2)/(x^2+3*x-1)/(x^2-x-1) lgdogf] A059345 6.69155 [-f(x)^2*x^4-2*x^3*f(x)^2+5*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A059348 6.64551 [-f(x)^2*x^4-4*f(x)*x^3-f(x)*x^2+2*f(x)*x-5*x^2+f(x)-6*x-2 ogf] A059371 4.61927 [{(-n^2-9*n-20)*a(n+1)+(3*n+14)*a(n+2)-2*a(n+3),a(0)=1,a(1)=4,a(2)=16} ogf] A059387 4.3368 [(23250*f(x)-249107)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+12*x^3-12*f(x)*x+f(x)-2*x) ogf] A059387 7.15279 [-2*(6-53*x+216*x^5-216*x^4-72*x^3+144*x^2)/(x-1)/(6*x-1)/(-1+3*x)/(2*x-1)/(6*x^2-1) lgdogf] A059387 8.61164 [-2*x*(6*x^2-1)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A059398 5.73771 [x^3*f(x)^2+3*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+3*f(x)*x-f(x)+1 ogf] A059403 6.12679 [-x^3*(x^4+2*x^3+2*x+1)/(x^2+1)/(x+1)^3/(x-1)^5 ogf] A059403 8.82978 [-2*(2+5*x+8*x^6+5*x^5+10*x^2+11*x^3+16*x^4+3*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+2*x+1) lgdogf] A059409 10.0185 [-32*f(x)*x^2+12*f(x)*x-f(x)+4*x ogf] A059409 15.6700 [4*x/(8*x-1)/(4*x-1) ogf] A059409 17.7101 [-1/16*(-1-3*x+(1+6*x+x^2)^(1/2))/x revogf] A059409 21.5051 [-4*(16*x-3)/(8*x-1)/(-1+4*x) lgdogf] A059409 7.36300 [{a(n+2)-12*a(n+1)+32*a(n),a(0)=0,a(1)=4} ogf] A059410 11.679 [-27*f(x)*x^2+12*f(x)*x-f(x)+6*x ogf] A059410 18.2671 [6*x/(9*x-1)/(3*x-1) ogf] A059410 19.0637 [-1/9*(-1-2*x+(1+4*x+x^2)^(1/2))/x revogf] A059410 23.3001 [-6*(-2+9*x)/(9*x-1)/(3*x-1) lgdogf] A059410 8.58335 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=0,a(1)=6} ogf] A059421 27.4906 [-(17+18*x)/(3*x+2)/(x-1) lgdogf] A059421 4.28729 [{(-2*n-6)*a(n+3)+(15-n)*a(n+2)+(21+3*n)*a(n+1),a(0)=16,a(1)=136,a(2)=616} ogf] A059421 7.39675 [-8*(3*x+2)/(x-1)^7 ogf] A059422 36.6312 [-1/2*(-2+x^2)/(x+1) lgdegf] A059422 4.38280 [{(n^2+5*n+6)*a(n+1)+(2*n+4)*a(n+3)+2*a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=-1} ogf] A059435 10.0027 [-4*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A059435 10.1434 [-1/2*(-1+2*x+(1-12*x+4*x^2)^(1/2))/(1-12*x+4*x^2)^(1/2)/x lgdogf] A059435 30.4303 [x*(-1+4*x)/(-1+2*x) revogf] A059480 5.40117 [{(n+4)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=4} ogf] A059482 12.1536 [-(2*x-1)/(10*x-1)/(x-1) ogf] A059482 12.7146 [-1/4*(-1-11*x+(1+14*x+81*x^2)^(1/2))/(1+5*x) revogf] A059482 14.3447 [-(9-20*x+20*x^2)/(x-1)/(2*x-1)/(10*x-1) lgdogf] A059482 6.20893 [-(79*f(x)+2)*(10*f(x)*x^2-11*f(x)*x+f(x)+2*x-1) ogf] A059482 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=9} ogf] A059502 12.9087 [-(-3+9*x-9*x^2+4*x^3)/(x-1)/(-1+2*x)/(x^2-3*x+1) lgdogf] A059502 5.62058 [-f(x)*x^4+6*f(x)*x^3-11*f(x)*x^2+2*x^3+6*f(x)*x-3*x^2-f(x)+x ogf] A059502 8.50682 [x*(2*x-1)*(x-1)/(x^2-3*x+1)^2 ogf] A059505 10.1165 [-(5-17*x+x^4-9*x^3+18*x^2)/(x-1)/(1+x^2-3*x)/(x^2-5*x+2) lgdogf] A059505 4.13855 [(29*f(x)+15)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-6*x^2+f(x)+7*x-2) ogf] A059505 7.42818 [-(x-1)*(x^2-5*x+2)/(x^2-3*x+1)^2 ogf] A059506 4.1256 [(46*f(x)+59)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+2*x^3-6*f(x)*x-10*x^2+f(x)+11*x-3) ogf] A059506 7.32295 [-(x-1)*(2*x^2-8*x+3)/(x^2-3*x+1)^2 ogf] A059506 9.39280 [-(7-25*x-14*x^3+27*x^2+2*x^4)/(x-1)/(x^2-3*x+1)/(2*x^2-8*x+3) lgdogf] A059507 4.20052 [(7*f(x)+17)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+3*x^3-6*f(x)*x-14*x^2+f(x)+15*x-4) ogf] A059507 7.40342 [-(x-1)*(3*x^2-11*x+4)/(x^2-3*x+1)^2 ogf] A059507 9.34514 [-(9-33*x-19*x^3+3*x^4+36*x^2)/(x-1)/(x^2-3*x+1)/(3*x^2-11*x+4) lgdogf] A059508 4.13536 [(160*f(x)+633)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+4*x^3-6*f(x)*x-18*x^2+f(x)+19*x-5) ogf] A059508 7.44366 [-(x-1)*(4*x^2-14*x+5)/(x^2-3*x+1)^2 ogf] A059508 9.24789 [-(11-41*x-24*x^3+4*x^4+45*x^2)/(x-1)/(x^2-3*x+1)/(4*x^2-14*x+5) lgdogf] A059509 11.9522 [-(x-1)*(x^3+4*x^2-2*x+5)/(1+x^2-3*x)/(x^3-x+1) lgdogf] A059509 3.98947 [-(43945*f(x)+7482)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-x^3-6*f(x)*x+f(x)+x-1) ogf] A059509 8.03593 [(x^3-x+1)/(x^2-3*x+1)^2 ogf] A059512 4.74371 [-(f(x)-1)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+2*x^3+4*f(x)*x-3*x^2-f(x)+x) ogf] A059512 8.90259 [-x*(2*x-1)*(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A059512 9.13981 [-(1-2*x-5*x^2+16*x^3-13*x^4+4*x^5)/(2*x-1)/(x-1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A059517 11.1167 [-6*x^2*(3*x+2)/(x-1)/(6*x-1)/(3*x-1) ogf] A059517 5.39489 [{a(n+4)-10*a(n+3)+27*a(n+2)-18*a(n+1),a(0)=0,a(1)=0,a(2)=12,a(3)=138} ogf] A059517 6.55094 [-f(x)*(18*f(x)*x^3-27*f(x)*x^2+18*x^3+10*f(x)*x+12*x^2-f(x)) ogf] A059517 9.35509 [-(23-108*x+108*x^3+27*x^2)/(x-1)/(-1+6*x)/(3*x+2)/(3*x-1) lgdogf] A059532 8.20619 [(x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+4)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059533 5.88989 [(x^12+x^11+2*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A059534 6.75818 [(3*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059537 11.5148 [(2*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059537 9.45203 [-(x+1)*(4*x^7+x^6+6*x^5+3*x^4+8*x^3+4*x^2+2*x+2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+x^2+x+1) lgdogf] A059541 5.96145 [(2*x^12+2*x^11+2*x^10+x^9+2*x^8+2*x^7+x^6+2*x^5+2*x^4+x^3+2*x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059542 7.23997 [(x^9+2*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A059543 29.8388 [-x^10+x^9+2 ogf_with_Euler_transform] A059543 7.01641 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A059544 7.60972 [(x^7+11*x^6+11*x^5+11*x^4+11*x^3+11*x^2+11*x+11)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059547 6.71816 [(2*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059548 6.75818 [(x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A059557 12.9116 [(x+1)*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A059557 14.5642 [-(2+4*x+x^5+3*x^4+5*x^3+9*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2+x+1) lgdogf] A059557 30.6185 [-x^3+x^2+2 ogf_with_Euler_transform] A059557 5.43232 [{(-2*n-7)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A059557 7.42417 [(4*f(x)+27)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-1) ogf] A059558 10.1076 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=8} ogf] A059558 101.582 [-2/(x-1) lgdogf] A059558 14.0479 [-f(x)*x^2+2*f(x)*x-f(x)+4 ogf] A059558 25.1159 [4/(x-1)^2 ogf] A059558 42.7712 [x/(1+(x+1)^(1/2))^2 revogf] A059561 9.53373 [(2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059562 6.41977 [(8*x^10+8*x^9+8*x^8+8*x^7+8*x^6+8*x^5+8*x^4+8*x^3+8*x^2+8*x+7)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059568 6.56649 [(4*x^10+4*x^9+4*x^8+3*x^7+4*x^6+4*x^5+4*x^4+3*x^3+4*x^2+4*x+3)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A059570 17.0976 [-(x-1)/(x+1)/(2*x-1)^2 ogf] A059570 17.3640 [-2*(-1-2*x+2*x^2)/(x-1)/(-1+2*x)/(x+1) lgdogf] A059570 8.18504 [{a(n+3)-3*a(n+2)+4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A059570 8.64487 [-(f(x)+3)*(4*f(x)*x^3-3*f(x)*x+f(x)+x-1) ogf] A059578 5.42539 [f(x)^2*x^2+f(x)*x^3-2*f(x)^2*x-7*f(x)*x^2+f(x)^2+11*f(x)*x+2*x^2-4*f(x)-5*x+3 ogf] A059585 13.3964 [-2*(-17+27*x+4*x^3-18*x^2)/(x-1)/(x-2)/(2*x^2-4*x+3) lgdogf] A059585 5.25034 [x^2*(2*x^2-4*x+3)*(x-2)^2/(x-1)^8 ogf] A059593 7.96474 [a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=1/2,a(5)=0,a(6)=0,a(7)=0,a(8)=0,a(9)=1/60 lgdegf] A059595 25.4724 [-7*(3*x+1)/(x-1)/(x+1) lgdogf] A059595 26.9773 [[7+7*x] ogf_with_Euler_transform] A059595 4.21637 [{(n+3)*a(n+3)-7*a(n+2)+(-22-n)*a(n+1),a(0)=1,a(1)=7,a(2)=35} ogf] A059596 10.1931 [-2272-6816*x+(244-120*x-284*x^2)*f(x)+(5-5*x^2)*f(x)^2 lgdogf] A059596 26.4838 [[8+8*x] ogf_with_Euler_transform] A059596 4.14194 [{(n+3)*a(n+3)-8*a(n+2)+(-25-n)*a(n+1),a(0)=1,a(1)=8,a(2)=44} ogf] A059597 26.1900 [-9*(1+3*x)/(x-1)/(x+1) lgdogf] A059597 27.6944 [[9+9*x] ogf_with_Euler_transform] A059597 4.33129 [{(n+3)*a(n+3)-9*a(n+2)+(-28-n)*a(n+1),a(0)=1,a(1)=9,a(2)=54} ogf] A059598 11.7853 [-710-2130*x+(61-30*x-71*x^2)*f(x)+(1-x^2)*f(x)^2 lgdogf] A059598 24.8113 [[10+10*x] ogf_with_Euler_transform] A059598 4.19134 [{(n+3)*a(n+3)-10*a(n+2)+(-31-n)*a(n+1),a(0)=1,a(1)=10,a(2)=65} ogf] A059599 34.2561 [-(19+5*x)/(x+3)/(x-1) lgdogf] A059599 4.79401 [{(-3*n-9)*a(n+3)+(23+2*n)*a(n+2)+(6+n)*a(n+1),a(0)=3,a(1)=19,a(2)=69} ogf] A059599 9.16854 [(x+3)/(x-1)^6 ogf] A059600 17.1578 [-2*(x+7)*(3*x+1)/(x-1)/(x^2+6*x+1) lgdogf] A059600 5.62780 [(x^2+6*x+1)/(x-1)^8 ogf] A059601 14.4685 [-20*(1+5*x+2*x^2)/(x-1)/(5*x^2+10*x+1) lgdogf] A059601 4.22944 [(5*x^2+10*x+1)/(x-1)^10 ogf] A059602 15.0313 [-4*(15+23*x+2*x^2)/(x-1)/(x^2+10*x+5) lgdogf] A059602 4.27723 [(x^2+10*x+5)/(x-1)^10 ogf] A059603 15.0667 [-3*(9+65*x+3*x^3+51*x^2)/(x-1)/(x+1)/(x^2+14*x+1) lgdogf] A059603 4.06190 [{(2*n^2+41*n+210)*a(n+1)+(-4*n^2-52*n-115)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=27,a(2)=273} ogf] A059603 4.58202 [(x+1)*(x^2+14*x+1)/(x-1)^12 ogf] A059605 15.5609 [-(-37+49*x+x^3-17*x^2)/(x-1)/(x^3-10*x^2+23*x-15) lgdogf] A059605 3.79237 [{(-1723*n^2-7109*n-7326)*a(n+1)+(3704*n^2+11128*n-8988)*a(n+2)+(-1981*n^2-3245*n+8094)*a(n+3),a(0)=15,a(1)=37,a(2)=68} ogf] A059605 5.28868 [(738*f(x)+135497)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-10*x^2+f(x)+23*x-15) ogf] A059605 9.71794 [-(x^3-10*x^2+23*x-15)/(x-1)^4 ogf] A059620 8.00876 [-x*(x^10+x^8+x^5+x^3+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A059624 19.8223 [-2*(23+58*x+15*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A059624 3.79903 [{(3*n+12)*a(n+4)+(-25+7*n)*a(n+3)+(-130-7*n)*a(n+2)+(-33-3*n)*a(n+1),a(0)=3,a(1)=46,a(2)=357,a(3)=1908} ogf] A059624 5.07354 [(x+3)*(3*x+1)/(x-1)^12 ogf] A059625 23.4480 [-11*(3*x+1)/(x-1)/(x+1) lgdogf] A059625 23.6532 [[11+11*x] ogf_with_Euler_transform] A059625 3.99888 [{(n+3)*a(n+3)-11*a(n+2)+(-34-n)*a(n+1),a(0)=1,a(1)=11,a(2)=77} ogf] A059628 11.1657 [-5*x*(11*x^10+10*x^9+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A059628 7.70739 [-2*x*(1+11*x^20+15*x^19-5*x^17-38*x^10-35*x^9+50*x^8+45*x^7)/(x-1)/(x+1)/(x^2+1)/(11*x^10+10*x^9+1)/(x^8-x^6+x^4-x^2+1) lgdogf] A059633 17.5160 [-1/(x^4-x^3+2*x-1) ogf] A059633 19.2191 [-(2+4*x^3-3*x^2)/(-x^3-1+2*x+x^4) lgdogf] A059633 6.82203 [-f(x)*(f(x)*x^4-f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A059655 5.07846 [(4*x^28+2*x^24-2*x^23+2*x^20-2*x^19-4*x^15+3*x^8+10*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A059672 10.2527 [-x*(4*x-3)/(2*x-1)^2/(x-1)^2 ogf] A059672 16.5080 [-2*(7-18*x+12*x^2)/(x-1)/(4*x-3)/(-1+2*x) lgdogf] A059672 3.40064 [{(9+3*n)*a(n+4)+(-40-13*n)*a(n+3)+(54+18*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=0,a(1)=3,a(2)=14,a(3)=45} ogf] A059672 5.08836 [-(83*f(x)-1638)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+4*x^2+f(x)-3*x) ogf] A059673 13.8128 [-(11-23*x+8*x^3+6*x^2)/(x-1)/(-1+2*x)/(2*x^2+x-2) lgdogf] A059673 4.87183 [(604*f(x)-11657)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+2*x^3-6*f(x)*x+x^2+f(x)-2*x) ogf] A059673 9.15905 [-x*(2*x^2+x-2)/(2*x-1)^2/(x-1)^2 ogf] A059712 10.2468 [-1/2*(-1-5*x-2*x^2+((4*x^2+1)*(-1+x)^2)^(1/2))/(3+6*x+7*x^2) revogf] A059712 6.34021 [7*x^3*f(x)^2-2*f(x)^2*x^2+6*f(x)*x^2-5*f(x)*x+f(x)+3*x-1 ogf] A059714 12.8755 [-1/2*(-1-7*x-2*x^2+((4*x^2+1)*(-1+x)^2)^(1/2))/(2+3*x)^2 revogf] A059714 7.33904 [-9*x^3*f(x)^2+2*f(x)^2*x^2-12*f(x)*x^2+7*f(x)*x-f(x)-4*x+1 ogf] A059716 11.0664 [-(3-8*x+x^4-4*x^3+11*x^2)/(x-1)/(x^4-7*x^3+10*x^2-6*x+1) lgdogf] A059716 4.42261 [-(30*f(x)+1)*(f(x)*x^4-7*f(x)*x^3+10*f(x)*x^2+x^3-6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A059716 8.10810 [-(x-1)^3/(x^4-7*x^3+10*x^2-6*x+1) ogf] A059721 5.35929 [-x*(7*x^4+42*x^3+56*x^2+14*x+1)/(x-1)^7 ogf] A059721 9.59270 [-7*(3+28*x+58*x^2+28*x^3+3*x^4)/(x-1)/(7*x^4+42*x^3+56*x^2+14*x+1) lgdogf] A059722 11.0898 [x*(x+1)*(5*x+1)/(x-1)^4 ogf] A059722 21.5789 [-2*(5+14*x+5*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A059722 4.23852 [{(n+3)*a(n+4)+5*n*a(n+3)+(-29-n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=39} ogf] A059722 5.5072 [-(130464*f(x)+334283)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-6*x^2+f(x)-x) ogf] A059727 4.40278 [-(5*f(x)+3)*(f(x)*x^5-f(x)*x^4-5*f(x)*x^3+2*x^4+f(x)*x^2-2*x^3+3*f(x)*x-4*x^2-f(x)+2*x) ogf] A059727 8.06352 [-2*x*(x^3-x^2-2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A059727 8.13160 [-(1-6*x^5+15*x^4+10*x^3-4*x^6-11*x^2+2*x^7)/(1+x)/(x^2-3*x+1)/(x^2+x-1)/(x^3-x^2-2*x+1) lgdogf] A059738 3.76437 [{(21*n+42)*a(n+1)+(8*n+37)*a(n+2)+(-11*n-49)*a(n+3)+(2*n+10)*a(n+4),a(0)=1,a(1)=3,a(2)=10,a(3)=34} ogf] A059738 32.8151 [x*(2*x+1)/(1+5*x+7*x^2) revogf] A059738 9.97312 [-7*f(x)^2*x^2+2*f(x)^2*x-5*f(x)*x+f(x)-1 ogf] A059769 6.65484 [-(-7-12*x-10*x^6+26*x^2+48*x^3+23*x^4-8*x^5+x^8)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-5*x^2-4*x-1) lgdogf] A059769 8.74213 [(x^4-5*x^2-4*x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A059774 5.46041 [-(15*x^11-40*x^10+26*x^9+11*x^8-20*x^7+15*x^6-8*x^5+x^4+x^3-3*x^2+x-1)/(x-1)^4 ogf] A059777 10.9423 [-(x^5-x^4-x^3-x^2-x)/(-x^4+1) ogf_with_Euler_transform] A059778 7.99504 [-(x^5-x^4-x^3-x^2-x)/(x^4-1) ogf_with_Euler_transform] A059811 10.1574 [(1-442*x^7+164*x^6+30*x^5+12*x^3-9*x^4+245*x^8)/(x-1)/(35*x^8-27*x^7-5*x^6-3*x^4-1) lgdogf] A059811 12.8536 [(35*x^8-27*x^7-5*x^6-3*x^4-1)/(x-1) ogf] A059812 5.89175 [(-4+4*x-1146*x^6-5559*x^8+4970*x^7-84*x^3+147*x^4-297*x^5+1967*x^9)/(x-1)/(281*x^9-505*x^8+186*x^7+39*x^6-21*x^5+21*x^4-3*x^2+2*x+1) lgdogf] A059812 7.22133 [(281*x^9-505*x^8+186*x^7+39*x^6-21*x^5+21*x^4-3*x^2+2*x+1)/(x-1)^2 ogf] A059815 7.84053 [-(x^9-63*x^8-15*x^7+55*x^6+12*x^5+5*x^4+3*x^3+3*x^2+x+1)/(x-1)/(x+1) ogf] A059816 5.79646 [-(3*x^11-222*x^10-50*x^9+421*x^8+85*x^7-184*x^6-32*x^5-8*x^4-7*x^3-7*x^2-x-1)/(x-1)^2/(x+1)^2 ogf] A059826 11.1306 [-3*(1+8*x+22*x^2+8*x^3+x^4)/(x-1)/(3*x^4+6*x^3+16*x^2-2*x+1) lgdogf] A059826 7.10228 [-(3*x^4+6*x^3+16*x^2-2*x+1)/(x-1)^5 ogf] A059827 10.4197 [-3*(9+72*x+28*x^3+x^4+100*x^2)/(x-1)/(x^4+20*x^3+48*x^2+20*x+1) lgdogf] A059827 5.77390 [-(x^4+20*x^3+48*x^2+20*x+1)/(x-1)^7 ogf] A059830 5.00479 [-(4*x^6+57*x^5+309*x^4+274*x^3+78*x^2-3*x+1)/(x-1)^7 ogf] A059830 6.69155 [-2*(2+69*x+69*x^5+606*x^4+1166*x^3+2*x^6+606*x^2)/(x-1)/(4*x^6+57*x^5+309*x^4+274*x^3+78*x^2-3*x+1) lgdogf] A059834 10.4285 [2*x*(2*x^2-3*x+3)/(x-1)^4 ogf] A059834 22.0630 [-(9-5*x+4*x^2)/(x-1)/(2*x^2-3*x+3) lgdogf] A059834 3.82554 [{(9+3*n)*a(n+4)+(-21-6*n)*a(n+3)+(5*n+10)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=6,a(2)=18,a(3)=40} ogf] A059834 5.39917 [-(656*f(x)+209)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+6*x^2+f(x)-6*x) ogf] A059837 3.39743 [{(4*n^3+28*n^2+64*n+48)*a(n+1)+(2*n+6)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A059837 7.4567 [-2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x+f(x)-1 egf] A059838 11.9837 [-(2*x^2+x-1+(-(x-1)*(x+1))^(1/2))/x/(x+1)/(x-1) lgdegf] A059838 3.51435 [{a(n)*n-a(n+1)*n+(-n-3)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=0,a(2)=1/2} egf] A059838 7.5912 [f(x)^2*x^2-2*f(x)^2*x+f(x)^2+2*f(x)*x+x^2-2*f(x) egf] A059839 3.54670 [-(5*x^8+296*x^7+4492*x^6+15332*x^5+15458*x^4+4408*x^3+332*x^2-4*x+1)/(x-1)^9 ogf] A059840 11.1507 [x^2*(x-2)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A059840 12.2447 [-(-5+3*x^4-14*x^3+18*x^2)/(x-1)/(x-2)/(1+x)/(x^2-3*x+1) lgdogf] A059840 5.91473 [(575*f(x)-247)*(f(x)*x^4-3*f(x)*x^3-x^3+3*f(x)*x+2*x^2-f(x)) ogf] A059841 14.3408 [-f(x)*x^2+f(x)-1 ogf] A059841 23.5190 [-1/(x-1)/(x+1) ogf] A059841 29.2959 [1/2/x*(-1+(1+4*x^2)^(1/2)) revogf] A059841 45.1100 [[x] ogf_with_Euler_transform] A059841 47.6059 [-2*x/(x-1)/(x+1) lgdogf] A059841 9.33292 [{a(n+2)-a(n),a(0)=1,a(1)=0} ogf] A059845 14.5431 [x*(4*x-7)/(x-1)^3 ogf] A059845 34.0534 [-(-17+8*x)/(x-1)/(4*x-7) lgdogf] A059845 7.27156 [(1161*f(x)-14615)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+7*x) ogf] A059845 7.40141 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=17} ogf] A059855 11.1292 [{-a(n+3)+a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A059855 11.8335 [(145*f(x)-129)*(f(x)*x^2+4*x^2-f(x)+2*x+1) ogf] A059855 19.0786 [-(4*x^2+2*x+1)/(x-1)/(x+1) ogf] A059855 22.9107 [-2*(1+5*x+x^2)/(x-1)/(1+x)/(4*x^2+2*x+1) lgdogf] A059859 5.94191 [x^2*(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^3/(x-1)^6 ogf] A059859 9.55605 [-(5+27*x+40*x^2+52*x^3+15*x^4+5*x^5)/(x-1)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A059924 12.6297 [-(5+19*x+23*x^2+15*x^3+2*x^4)/(x-1)/(x+1)/(x^3+4*x^2+2*x+1) lgdogf] A059924 8.49685 [2*x*(x^3+4*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A059929 13.2468 [-x*(x-2)/(x^2-3*x+1)/(x+1) ogf] A059929 13.4830 [-(3+8*x+2*x^3-8*x^2)/(x-2)/(1+x)/(x^2-3*x+1) lgdogf] A059929 6.80240 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=3} ogf] A059929 7.05669 [(3*f(x)+4)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A059937 11.0890 [-3*(-3+4*x)*(8*x^2-12*x+5)/(x-1)/(-1+2*x)/(7-18*x+12*x^2) lgdogf] A059937 3.60588 [{(2*n^2+14*n+24)*a(n+1)+(-3*n^2-15*n-12)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=7,a(2)=45} ogf] A059937 6.75627 [x*(12*x^2-18*x+7)/(2*x-1)^3/(x-1)^3 ogf] A059938 6.35491 [x*(8*x^3-6*x^2-5*x+4)/(2*x-1)^3/(x-1)^3 ogf] A059938 9.43390 [-(-31+90*x-56*x^2-48*x^3+48*x^4)/(x-1)/(-1+2*x)/(8*x^3-6*x^2-5*x+4) lgdogf] A059944 13.8604 [-(x+1)/(3*x^2-1) egf] A059944 18.5500 [-(1+6*x+3*x^2)/(x+1)/(3*x^2-1) lgdegf] A059944 8.23589 [(12*f(x)-11)*(3*f(x)*x^2-f(x)+x+1) egf] A059945 10.0003 [-(39-376*x+972*x^4-1872*x^3+1287*x^2)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1)/(9*x-4) lgdogf] A059945 10.3613 [-x^2*(9*x-4)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A059945 5.56159 [(401*f(x)-64)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+9*x^3-12*f(x)*x-4*x^2+f(x)) ogf] A059946 6.40091 [x^3*(288*x^2-178*x+25)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(10*x-1) ogf] A059947 4.40368 [-x^3*(16800*x^4-11362*x^3+2237*x^2-112*x-3)/(x-1)/(6*x-1)/(7*x-1)/(3*x-1)/(15*x-1)/(2*x-1)/(10*x-1)/(4*x-1) ogf] A059952 10.7761 [-(26*x-27)/(x+1)/(x-1)^2 ogf] A059952 14.4220 [-(-1-55*x+52*x^2)/(-1+x)/(26*x-27)/(x+1) lgdogf] A059952 5.10937 [(82163*f(x)+15473567)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+26*x-27) ogf] A059952 5.19900 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=27,a(1)=1,a(2)=28} ogf] A059953 10.6830 [-(-27+23*x+26*x^3-26*x^2)/(-1+x)/(x+1)/(26*x^2-26*x-1) lgdogf] A059953 4.63036 [-(76079*f(x)+15308337)*(f(x)*x^3-f(x)*x^2-f(x)*x+26*x^2+f(x)-26*x-1) ogf] A059953 5.24501 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=27,a(2)=2} ogf] A059953 9.40771 [-(26*x^2-26*x-1)/(x+1)/(x-1)^2 ogf] A059967 59.8122 [x/(x+1)^9 revogf] A059968 55.5309 [x/(x+1)^10 revogf] A059973 11.9087 [-(-1-4*x+4*x^5-4*x^3-3*x^4-4*x^2)/(x-1)/(2*x+1)/(x^4+4*x^2-1) lgdogf] A059973 12.0821 [x*(2*x+1)*(x-1)/(x^4+4*x^2-1) ogf] A059973 9.82679 [-f(x)*x^4-4*f(x)*x^2+2*x^3-x^2+f(x)-x ogf] A059977 4.14353 [-(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1)/(x-1)^9 ogf] A059977 6.29379 [-3*(27+594*x+x^6+98*x^5+2575*x^2+3140*x^3+1125*x^4)/(x-1)/(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1) lgdogf] A059986 12.0453 [6*x*(x+2)/(x-1)^4 ogf] A059986 39.2001 [-3*(x+3)/(x+2)/(x-1) lgdogf] A059986 5.23022 [{(4+2*n)*a(n+3)+(-10-n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=12,a(2)=54} ogf] A059986 5.97739 [(2421*f(x)+19939)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-12*x) ogf] A059988 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=81,a(2)=9801} ogf] A059988 3.64604 [(121*f(x)+81)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+810*x^2-f(x)+81*x) ogf] A059988 6.48781 [-81*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A059988 6.56783 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A059989 10.9470 [-3*(65-130*x+x^2)/(x-1)/(x^2-194*x+1) lgdogf] A059989 11.8758 [-56*x/(x-1)/(x^2-194*x+1) ogf] A059989 4.94823 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=0,a(1)=56,a(2)=10920} ogf] A059989 7.24132 [f(x)*x^3-195*f(x)*x^2+195*f(x)*x-f(x)+56*x ogf] A059993 13.1915 [(3*x^2-6*x-1)/(x-1)^3 ogf] A059993 23.2141 [-3*(1+x)*(x-3)/(x-1)/(3*x^2-6*x-1) lgdogf] A059993 7.12107 [(10*f(x)-91)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+6*x+1) ogf] A059993 7.12107 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=21} ogf] A059995 10.8317 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+11*x^9)/(x-1)/(1+x)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A059995 21.2776 [x^10/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A059997 12.0275 [-(5*x-14)/(x-1)^4 ogf] A059997 28.1214 [-3*(5*x-17)/(x-1)/(5*x-14) lgdogf] A059997 4.68997 [{(-14*n-42)*a(n+3)+(89+19*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=14,a(1)=51,a(2)=120} ogf] A059997 5.52374 [(4781511*f(x)+87187714)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+5*x-14) ogf] A059999 5.90790 [(14*x^5+14*x^4-18*x^3+17*x^2-9*x+2)/(x-1)^6 ogf] A059999 8.60679 [-(3-11*x+14*x^2+2*x^3+98*x^4+14*x^5)/(x-1)/(14*x^5+14*x^4-18*x^3+17*x^2-9*x+2) lgdogf] A060008 11.8366 [-9*x^4/(x-1)^5 ogf] A060008 5.48313 [{(-2+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=9} ogf] A060008 6.26643 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+9*x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A060008 93.2132 [-5/(x-1) lgdogf] A060013 11.4066 [-(x^2-x+1)*(2*x^3+2*x^2-1)/(2*x-1)/(x-1) ogf] A060013 9.09093 [(-2+6*x+12*x^6-24*x^5+10*x^4-5*x^2)/(x-1)/(2*x-1)/(x^2-x+1)/(2*x^3+2*x^2-1) lgdogf] A060022 10.1561 [(x^3+x-1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A060022 15.9224 [-x*(-2+4*x^4+3*x^5+4*x^2+9*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^3+x-1) lgdogf] A060023 10.0422 [-x*(-2+8*x^4+6*x^8+7*x^7+10*x^6+17*x^5-3*x-2*x^2+7*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+x-1) lgdogf] A060023 8.89321 [-(x^4+x-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A060024 5.93709 [(x^2-x+1)*(x^3+x^2-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A060025 5.22048 [-(x^6+x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A060060 14.7032 [-(61+174*x+45*x^2)/(x-1)/(9*x^2+26*x+5) lgdogf] A060060 5.98427 [-(9*x^2+26*x+5)/(x-1)^7 ogf] A060061 7.64582 [-(1385+9333*x+1575*x^3+10107*x^2)/(x-1)/(225*x^3+1179*x^2+775*x+61) lgdogf] A060062 7.07403 [-(50521+618828*x+915660*x^3+99225*x^4+1518966*x^2)/(x-1)/(11025*x^4+87156*x^3+114318*x^2+32516*x+1385) lgdogf] A060069 5.92836 [(f(x)-1)*(-2*x^4+f(x)-1) ogf] A060091 13.3932 [-3*(-21+39*x+6*x^3-26*x^2)/(x-1)/(6*x^3-24*x^2+33*x-16) lgdogf] A060091 4.51365 [{-6*n*a(n)+(n^2+24*n+11)*a(n+1)+(-n^2-13*n+14)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=16} ogf] A060091 6.91812 [-x^3*(6*x^3-24*x^2+33*x-16)/(x-1)^6 ogf] A060093 3.47592 [x^4*(24*x^6-180*x^5+570*x^4-980*x^3+970*x^2-528*x+125)/(x-1)^10 ogf] A060093 5.67124 [-2*(361-1406*x+48*x^6+2410*x^2-2290*x^3+1260*x^4-378*x^5)/(x-1)/(24*x^6-180*x^5+570*x^4-980*x^3+970*x^2-528*x+125) lgdogf] A060099 36.3025 [-2*(2+5*x)/(x-1)/(x+1) lgdogf] A060099 38.4545 [[4+3*x] ogf_with_Euler_transform] A060099 5.98022 [{(n+3)*a(n+3)-4*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=4,a(2)=13} ogf] A060099 8.84033 [-1/(x+1)^3/(x-1)^7 ogf] A060100 26.6177 [-(5+13*x)/(x-1)/(x+1) lgdogf] A060100 36.7749 [[5+4*x] ogf_with_Euler_transform] A060100 5.72516 [{(n+3)*a(n+3)-5*a(n+2)+(-14-n)*a(n+1),a(0)=1,a(1)=5,a(2)=19} ogf] A060100 5.94368 [-1/(x+1)^4/(x-1)^9 ogf] A060101 26.3547 [-2*(3+8*x)/(x-1)/(x+1) lgdogf] A060101 36.8029 [[6+5*x] ogf_with_Euler_transform] A060101 5.06313 [-1/(x+1)^5/(x-1)^11 ogf] A060101 5.73325 [{(n+3)*a(n+3)-6*a(n+2)+(-17-n)*a(n+1),a(0)=1,a(1)=6,a(2)=26} ogf] A060103 16.1884 [-(13+38*x+5*x^2)/(x-1)/(1+6*x+x^2) lgdogf] A060103 5.81020 [-(x^2+6*x+1)/(x-1)^7 ogf] A060104 13.7158 [-(19+90*x+35*x^2)/(x-1)/(5*x^2+10*x+1) lgdogf] A060104 4.52468 [-(5*x^2+10*x+1)/(x-1)^9 ogf] A060105 15.1948 [-2*(13+90*x+4*x^3+69*x^2)/(x-1)/(1+x)/(x^2+14*x+1) lgdogf] A060105 4.17876 [{(2*n^2+37*n+171)*a(n+1)+(-4*n^2-48*n-106)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=26,a(2)=246} ogf] A060105 5.05275 [-(x+1)*(x^2+14*x+1)/(x-1)^11 ogf] A060106 10.0022 [(x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A060106 7.31298 [-(4+8*x+14*x^6+23*x^5+15*x^2+17*x^3+21*x^4+5*x^8+12*x^7+x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+2*x^4+3*x^3+2*x^2+3*x+1) lgdogf] A060107 9.09153 [x*(2*x^6+2*x^5+x^4+2*x^3+2*x^2+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A060150 5.91262 [{(16*n^2+16*n+4)*a(n)+(-n^2-2*n-1)*a(n+1),a(0)=1,a(1)=1} ogf] A060153 2.36657 [-f(x)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)-2*x) ogf] A060153 4.10527 [-x*(x-2)/(2*x-1)/(x-1) ogf] A060153 5.50452 [-(5-8*x+2*x^2)/(-1+x)/(x-2)/(2*x-1) lgdogf] A060157 10.2883 [-(-29+141*x-216*x^2+108*x^3)/(6*x-5)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A060157 4.19417 [-(6292063*f(x)-140523912)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x+12*x^2+f(x)-10*x) ogf] A060157 8.93539 [-2*x*(6*x-5)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A060158 7.18244 [4*x^5*(24*x^2-29*x+8)/(4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A060160 4.72092 [(18005*f(x)+36438)*(8*f(x)*x^4-8*f(x)*x^3-4*f(x)*x^2+16*x^3+5*f(x)*x-28*x^2-f(x)+6*x+1) ogf] A060160 6.80943 [-(11-64*x-448*x^5+432*x^4-224*x^3+140*x^2+128*x^6)/(x-1)/(2*x-1)/(4*x^2+2*x-1)/(16*x^3-28*x^2+6*x+1) lgdogf] A060160 8.78449 [-(16*x^3-28*x^2+6*x+1)/(2*x-1)/(x-1)/(4*x^2+2*x-1) ogf] A060161 10.0808 [-(4*x^3-7*x^2+x+1)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A060161 5.42814 [-(5*f(x)+108)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+4*x^3+4*f(x)*x-7*x^2-f(x)+x+1) ogf] A060161 8.96752 [-(5-22*x+8*x^6-28*x^5+29*x^4-26*x^3+33*x^2)/(x-1)/(2*x-1)/(x^2+x-1)/(4*x^3-7*x^2+x+1) lgdogf] A060163 10.8121 [x*(4*x^2-5*x+2)/(x-1)^4 ogf] A060163 22.8744 [-(3-7*x+8*x^2)/(x-1)/(4*x^2-5*x+2) lgdogf] A060163 4.00650 [{(6+2*n)*a(n+4)+(-17-7*n)*a(n+3)+(16+9*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=2,a(2)=3,a(3)=4} ogf] A060163 5.76117 [-(2*f(x)+3)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+5*x^2+f(x)-2*x) ogf] A060182 11.4567 [(-5+4*x+7*x^2-6*x^3+2*x^4)/(x-1)/(-1+2*x)/(x+1)/(x^2-x-1) lgdogf] A060182 12.5780 [-(x+1)*(x^2-x-1)/(2*x-1)/(x-1) ogf] A060182 5.74685 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=1,a(1)=5,a(2)=13,a(3)=28} ogf] A060182 6.80239 [(227*f(x)-2315)*(2*f(x)*x^2+x^3-3*f(x)*x+f(x)-2*x-1) ogf] A060183 3.03645 [(212054841*f(x)-289075889)*(100*f(x)*x^3-201*f(x)*x^2+102*f(x)*x+129*x^2-f(x)-94*x+1) ogf] A060183 3.44131 [{a(n+3)-102*a(n+2)+201*a(n+1)-100*a(n),a(0)=1,a(1)=8,a(2)=744} ogf] A060183 5.89939 [-(129*x^2-94*x+1)/(100*x-1)/(x-1)^2 ogf] A060183 6.29214 [-4*(-2+34*x+3225*x^3-1475*x^2)/(-1+x)/(100*x-1)/(129*x^2-94*x+1) lgdogf] A060188 11.8431 [-(x+1)/(3*x-1)/(x-1)^2 ogf] A060188 16.1791 [-2*(-3+4*x+3*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A060188 5.55471 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=6,a(2)=23} ogf] A060188 5.70619 [(11668*f(x)-8529)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A060189 5.55518 [-(9*x^3+17*x^2-9*x-1)/(5*x-1)/(3*x-1)^2/(x-1)^3 ogf] A060189 6.43910 [-(-23+69*x+382*x^2-1370*x^3+921*x^4+405*x^5)/(x-1)/(3*x-1)/(5*x-1)/(9*x^3+17*x^2-9*x-1) lgdogf] A060195 11.9221 [-1/256*(-24*x-1+(64*x^2+48*x+1)^(1/2))/x revogf] A060195 13.5549 [1/(16*x-1)/(8*x-1) ogf] A060195 15.3834 [-8*(-3+32*x)/(-1+16*x)/(-1+8*x) lgdogf] A060195 5.67414 [(31*f(x)+50)*(128*f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A060195 5.67414 [{-a(n+2)+24*a(n+1)-128*a(n),a(0)=1,a(1)=24} ogf] A060197 11.5795 [(-3-2*x-30*x^29+29*x^30+3*x^4-4*x^3+x^2+9*x^10-10*x^9)/(x-1)/(x^30+x^10+x^4+x^2+x+2) lgdogf] A060197 13.9619 [-(x^30+x^10+x^4+x^2+x+2)/(x-1) ogf] A060242 4.80263 [-(7595*f(x)-55983)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2+24*x^3-15*f(x)*x+f(x)-3*x) ogf] A060242 6.92117 [-(15-156*x+1024*x^5-960*x^4-256*x^3+480*x^2)/(x-1)/(8*x-1)/(-1+2*x)/(-1+4*x)/(-1+8*x^2) lgdogf] A060242 8.60745 [-3*x*(8*x^2-1)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A060248 8.05969 [2*(5-3*x+630*x^6+3*x^2-7*x^3+3*x^4+540*x^8-1170*x^7)/(x-1)/(180*x^8-180*x^7+3*x^4-2*x^3+6*x^2-6*x-2) lgdogf] A060248 9.23427 [-(180*x^8-180*x^7+3*x^4-2*x^3+6*x^2-6*x-2)/(x-1)^2 ogf] A060249 6.40466 [(-1-3*x+30*x^7-90*x^6+90*x^5+3*x^2-x^3-30*x^4)/(x-1)/(6*x^7-12*x^6+6*x^5-x^3+2*x^2-x+1) lgdegf] A060249 6.61848 [(6*x^7-12*x^6+6*x^5-x^3+2*x^2-x+1)/(x-1)^2 egf] A060275 11.2552 [-(x^5-x^4+x^3-x^2+12*x-13)/(x-1)^2 ogf] A060275 13.4189 [(14-10*x+3*x^5+5*x^3-7*x^4-3*x^2)/(x-1)/(x^5-x^4+x^3-x^2+12*x-13) lgdogf] A060285 15.0921 [-(2*x^2-3*x)/(x^2-2*x+1) ogf_with_Euler_transform] A060296 16.1877 [(1-4*x+12*x^5-18*x^4-8*x^3+20*x^2)/(x-1)/(3*x^5-x^4-6*x^3+2*x^2-1) lgdogf] A060296 16.6549 [(3*x^5-x^4-6*x^3+2*x^2-1)/(x-1) ogf] A060300 20.1946 [-3*(3+6*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A060300 7.63293 [-16*x*(x^2+4*x+1)/(x-1)^5 ogf] A060311 38.1228 [exp(2*x)-exp(x) lgdegf] A060312 6.43821 [-(x^7+x^6+x^5+2*x^4-x^3+x^2-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A060312 6.60155 [(-1-2*x+5*x^4+10*x^3+x^12+2*x^11-6*x^8-14*x^7-5*x^6-x^2)/(x^2+x-1)/(x^4+x^2-1)/(x^7+x^6+x^5+2*x^4-x^3+x^2-1) lgdogf] A060337 3.29919 [-(280*x^5-300*x^4-138*x^3+287*x^2-117*x+15)/(x-1)^3/(2*x-1)^3/(4*x-1)^3 ogf] A060344 11.0265 [2*(4*x^4-6*x^3-4*x^2-x-1)/(2*x-1) ogf] A060344 11.1673 [(3+8*x-40*x^3+24*x^4+10*x^2)/(2*x-1)/(4*x^4-6*x^3-4*x^2-x-1) lgdogf] A060344 6.15893 [{-a(n+5)+2*a(n+4),a(0)=2,a(1)=6,a(2)=20,a(3)=52,a(4)=96} ogf] A060344 6.76872 [(12094*f(x)+228633)*(-8*x^4+12*x^3+2*f(x)*x+8*x^2-f(x)+2*x+2) ogf] A060352 11.0630 [-(17-27*x-9*x^2+27*x^3)/(x-1)/(3*x-1)/(3*x+1)/(3*x-2) lgdogf] A060352 4.86894 [-(8476*f(x)-32001)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x-9*x^2-f(x)+3*x+2) ogf] A060352 5.20764 [{-a(n+3)+7*a(n+2)-15*a(n+1)+9*a(n),a(0)=2,a(1)=17,a(2)=80} ogf] A060352 9.65934 [(3*x+1)*(3*x-2)/(x-1)/(3*x-1)^2 ogf] A060354 10.2402 [x*(4*x^2-2*x+1)/(x-1)^4 ogf] A060354 21.6565 [-2*(1+x+4*x^2)/(x-1)/(4*x^2-2*x+1) lgdogf] A060354 3.83351 [{(n+3)*a(n+4)+(-8-3*n)*a(n+3)+(4+6*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A060354 5.37794 [-(18*f(x)+13)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A060365 22.2988 [1/1000*ln(1+1000*x) revegf] A060365 24.9222 [-1000/(-1+1000*x) lgdogf] A060365 9.21034 [-1000*f(x)*x+f(x)-1000 ogf] A060366 10.3545 [-1000*f(x)*x+f(x)-1 ogf] A060366 18.9834 [-1/(1000*x-1) ogf] A060366 23.4742 [1/1000*ln(1+1000*x) revegf] A060366 26.2358 [-1000/(-1+1000*x) lgdogf] A060366 8.28365 [{a(n+1)-1000*a(n),a(0)=1} ogf] A060376 4.40598 [(8589934593*x^34-8589934593*x^33+262145*x^19-262145*x^18+513*x^10-513*x^9+129*x^8-64*x^7-32*x^6-16*x^5-8*x^4-4*x^3-2*x^2-x-1)/(x-1) ogf] A060384 7.75643 [-(x^41-x^40-x^26+x^24-x^21-x^17-x^12-x^7-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A060386 6.14812 [-(19*x^9+83*x^8+7*x^7+61*x^6+5*x^5+41*x^4+3*x^3+2*x^2+11*x+101)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A060405 11.3188 [-(x^2+4*x-2)/(x^2+x-1)/(x^2+2*x-1) ogf] A060405 6.11012 [(50*f(x)+37)*(f(x)*x^4+3*f(x)*x^3-3*f(x)*x+x^2+f(x)+4*x-2) ogf] A060405 9.66913 [-(2-2*x+2*x^5+15*x^4+16*x^3-15*x^2)/(x^2+4*x-2)/(x^2+x-1)/(-1+2*x+x^2) lgdogf] A060416 4.42222 [{-a(n+4)+9*a(n+3)-24*a(n+2)+16*a(n+1),a(0)=1,a(1)=3,a(2)=31,a(3)=191} ogf] A060416 4.52123 [-(7758*f(x)-40447)*(16*f(x)*x^3-24*f(x)*x^2-32*x^3+9*f(x)*x+28*x^2-f(x)-6*x+1) ogf] A060416 8.29923 [(32*x^3-28*x^2+6*x-1)/(x-1)/(4*x-1)^2 ogf] A060416 9.89133 [-(3+20*x-76*x^2+80*x^3)/(x-1)/(-1+4*x)/(32*x^3-28*x^2+6*x-1) lgdogf] A060422 13.0407 [-2*x*(5+5*x^2-2*x)/(-1+x)/(x+1)/(2*x^2-x+1) lgdogf] A060422 5.55197 [x^3*(2*x^2-x+1)/(x+1)^3/(x-1)^4 ogf] A060423 23.4619 [-6*(1+6*x+x^2)/(x+5)/(x-1)/(x+1) lgdogf] A060423 3.87010 [{(-n^2-5*n-6)*a(n+1)+(-n-3)*a(n+2)+(n^2-4)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=5} ogf] A060423 8.03149 [x^5*(x+5)/(x+1)^3/(x-1)^4 ogf] A060432 22.8378 [-(3+2*x)/(-x-1) ogf_with_Euler_transform] A060446 11.1021 [-2*(4+11*x+15*x^2+5*x^3+x^4)/(-1+x)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A060446 6.16131 [x*(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^6 ogf] A060452 6.62034 [-x*(x^8+5*x^7+26*x^6+39*x^5+66*x^4+39*x^3+26*x^2+5*x+1)/(x+1)^6/(x-1)^7 ogf] A060453 6.26233 [2*x*(2*x^4+5*x^3+10*x^2+5*x+2)/(x+1)^3/(x-1)^6 ogf] A060453 9.29677 [-(11+53*x+10*x^5+85*x^2+93*x^3+36*x^4)/(x-1)/(x+1)/(2*x^4+5*x^3+10*x^2+5*x+2) lgdogf] A060455 6.04164 [(5*x^6+4*x^5+3*x^4+2*x^3+x^2-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A060458 15.0942 [-1/10*(-2-3*x+2*(1+3*x+x^2)^(1/2))/x revogf] A060458 15.8557 [8/(10*x-1)/(2*x-1) ogf] A060458 18.1130 [-4*(-3+10*x)/(10*x-1)/(-1+2*x) lgdogf] A060458 6.30627 [(781*f(x)+4120)*(20*f(x)*x^2-12*f(x)*x+f(x)-8) ogf] A060458 6.52884 [{-a(n+2)+12*a(n+1)-20*a(n),a(0)=8,a(1)=96} ogf] A060459 10.6199 [-3*(9+72*x+100*x^2+28*x^3+x^4)/(x-1)/(x^4+20*x^3+48*x^2+20*x+1) lgdogf] A060459 5.51986 [-8*x*(x^4+20*x^3+48*x^2+20*x+1)/(x-1)^7 ogf] A060460 10.5697 [-2*(-6+25*x+5*x^3-40*x^2)/(x-1)/(5*x-1)/(2*x^2-9*x+3) lgdogf] A060460 4.54262 [-(332816*f(x)+342103)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-9*x+3) ogf] A060460 4.97713 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=3,a(1)=12,a(2)=53} ogf] A060460 9.23177 [-(2*x^2-9*x+3)/(5*x-1)/(x-1)^2 ogf] A060464 6.75779 [-2*(2*x+6*x^4+5*x^3+x^12+2*x^11+3*x^10+9*x^9+6*x^8+7*x^7+8*x^6+7*x^5+6*x^2+1)/(x-1)/(x^3+x^2+1)/(x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A060464 9.25877 [x*(x^3+x^2+1)*(x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A060469 7.30992 [(2*x^10+x^8+x^7+2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A060470 8.33519 [(2*x^12+x^9+x^8+x^7+x^6+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A060471 7.18352 [(2*x^16+x^12+x^11+x^10+x^9+x^8+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A060482 10.8716 [(2+2*x+4*x^6-8*x^5-3*x^2+4*x^3-4*x^4)/(x-1)/(2*x^2-1)/(2*x^4-x^2+x+1) lgdogf] A060482 11.0869 [(2*x^4-x^2+x+1)/(x-1)/(2*x^2-1) ogf] A060482 5.31247 [{a(n+4)-a(n+3)-2*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=5,a(4)=9} ogf] A060482 6.37497 [(7*f(x)+11)*(2*f(x)*x^3-2*x^4-2*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A060483 10.5758 [3*(2*x+1)/(x-1)/(4*x-1)/(2*x-1)/(10*x-1) ogf] A060483 4.98575 [(77604567*f(x)+29453200)*(80*f(x)*x^4-148*f(x)*x^3+84*f(x)*x^2-17*f(x)*x+f(x)-6*x-3) ogf] A060483 8.90938 [-(-19+168*x-276*x^2-272*x^3+480*x^4)/(x-1)/(-1+4*x)/(2*x+1)/(-1+2*x)/(10*x-1) lgdogf] A060484 4.73253 [-(800*x^3+448*x^2-50*x-1)/(x-1)/(4*x-1)/(20*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A060488 13.6041 [-(3*x-4)/(x-1)^4 ogf] A060488 33.9427 [-(-13+9*x)/(x-1)/(3*x-4) lgdogf] A060488 5.35388 [{(4*n+12)*a(n+3)+(-27-7*n)*a(n+2)+(12+3*n)*a(n+1),a(0)=4,a(1)=13,a(2)=28} ogf] A060488 6.63882 [(64*f(x)+3235)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+3*x-4) ogf] A060489 3.84832 [(9*x^7-50*x^6+90*x^5-225*x^3+342*x^2-225*x+60)/(x-1)^10 ogf] A060489 5.67458 [-(375-1341*x+150*x^5+450*x^4-1575*x^3-137*x^6+2061*x^2+27*x^7)/(x-1)/(9*x^7-50*x^6+90*x^5-225*x^3+342*x^2-225*x+60) lgdogf] A060493 12.4715 [-(21+126*x+16*x^3+117*x^2)/(x-1)/(4*x^3+21*x^2+14*x+1) lgdogf] A060493 3.61542 [{(-72*n^2-684*n-1620)*a(n+1)+(74*n^2+277*n+321)*a(n+2)+(-2*n^2-13*n-21)*a(n+3),a(0)=1,a(1)=21,a(2)=147} ogf] A060493 6.41990 [-(4*x^3+21*x^2+14*x+1)/(x-1)^7 ogf] A060521 10.6943 [-(6+10*x+17*x^2-7*x^4+x^6)/(x^3-4*x-1)/(x^4-5*x^2-2*x+1) lgdogf] A060521 5.22582 [(721*f(x)-2643)*(f(x)*x^4-5*f(x)*x^2+6*x^3-2*f(x)*x+f(x)-24*x-6) ogf] A060521 9.86163 [-6*(x^3-4*x-1)/(x^4-5*x^2-2*x+1) ogf] A060531 13.0103 [-(9-160*x+720*x^2)/(9*x-1)/(8*x-1)/(10*x-1) lgdogf] A060531 14.3447 [-1/2*(-18*x-1+(4*x^2+1)^(1/2))/(80*x+9) revogf] A060531 15.2226 [-(9*x-1)/(10*x-1)/(8*x-1) ogf] A060531 7.77677 [-(2*f(x)+79)*(80*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A060531 8.51740 [{a(n+2)-18*a(n+1)+80*a(n),a(0)=1,a(1)=9} ogf] A060532 4.75543 [x*(2*x^5+101*x^4+164*x^3+82*x^2+10*x+1)/(x-1)^8 ogf] A060532 7.99844 [-6*(3+39*x+x^5+69*x^4+204*x^3+164*x^2)/(x-1)/(2*x^5+101*x^4+164*x^3+82*x^2+10*x+1) lgdogf] A060533 5.81254 [3*(x^2-x+1)*(4*x^5-10*x^4+4*x^3+5*x^2-3*x+1)/(-1+x)/(3*x^7-7*x^6+6*x^5+3*x^4-11*x^3+6*x^2-1) lgdogf] A060533 8.26468 [(3*x^7-7*x^6+6*x^5+3*x^4-11*x^3+6*x^2-1)/(x-1)^3 ogf] A060534 4.48223 [-(4*x^12-12*x^11+6*x^10+50*x^9-180*x^8+282*x^7-208*x^6+30*x^5+72*x^4-62*x^3+18*x^2-1)/(x-1)^6 ogf] A060541 12.8989 [-10*(7*x+1)*(x+7)*(1+x)/(x-1)/(35*x^3+155*x^2+65*x+1) lgdogf] A060541 3.55738 [{(-124*n^2-721*n-1047)*a(n+1)+(168*n^2+630*n+1218)*a(n+2)+(-44*n^2-229*n-291)*a(n+3),a(0)=1,a(1)=70,a(2)=495} ogf] A060541 7.66204 [-(35*x^3+155*x^2+65*x+1)/(x-1)^5 ogf] A060542 4.11487 [{(27*n^2+135*n+168)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=1,a(1)=15} ogf] A060544 13.3061 [-(x^2+7*x+1)/(x-1)^3 ogf] A060544 24.8862 [-(10+16*x+x^2)/(x-1)/(x^2+7*x+1) lgdogf] A060544 7.11993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=28} ogf] A060544 7.18294 [(11*f(x)-50)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+7*x+1) ogf] A060546 12.0890 [{-a(n+2)+2*a(n),a(0)=2,a(1)=2} ogf] A060546 12.4776 [-f(x)*(2*f(x)*x^2-f(x)+2*x+1) ogf] A060546 18.5060 [-1/2*2^(1/2)*(ln(1+2^(1/2))-arcsinh(1+x)) revegf] A060546 18.8707 [-2*(x+1)/(2*x^2-1) ogf] A060546 24.4757 [-(1+4*x+2*x^2)/(x+1)/(-1+2*x^2) lgdogf] A060547 10.2928 [{a(n+3)-2*a(n),a(0)=2,a(1)=1,a(2)=2} ogf] A060547 10.4301 [(f(x)-2)*(2*f(x)*x^3+2*x^2-f(x)+x+2) ogf] A060547 15.6467 [-(1+4*x+4*x^3+4*x^4+12*x^2)/(2*x^2+x+2)/(2*x^3-1) lgdogf] A060547 15.9644 [-(2*x^2+x+2)/(2*x^3-1) ogf] A060548 11.7483 [-(2*x^5+2*x^4+2*x^3+2*x^2+x+2)/(2*x^6-1) ogf] A060548 7.78755 [-(1+4*x+10*x^6+24*x^5+6*x^2+8*x^3+10*x^4+12*x^8+16*x^7+4*x^10+8*x^9)/(2*x^5+2*x^4+2*x^3+2*x^2+x+2)/(2*x^6-1) lgdogf] A060549 6.37603 [-2*(-1-10*x^6+16*x^11-2*x-4*x^3-5*x^2-2*x^5-4*x^9+20*x^10+16*x^7+22*x^8+2*x^4)/(-1+2*x^2)/(2*x^6-1)/(2*x^4+2*x^3+2*x+1) lgdogf] A060549 9.99948 [x*(2*x^4+2*x^3+2*x+1)/(2*x^2-1)/(2*x^6-1) ogf] A060550 10.0212 [x^3*(x^2+x+1)*(x^2-x+1)/(2*x^3-1)/(2*x^6-1) ogf] A060550 6.83689 [-2*x*(-1+x^5+18*x^7-4*x^6-3*x-2*x^2-x^3-6*x^4+14*x^9+10*x^11-2*x^8)/(2*x^3-1)/(2*x^6-1)/(x^2-x+1)/(x^2+x+1) lgdogf] A060551 4.64746 [-6*x^3*(2*x^6+2*x^5-x^4+2*x^3-x^2-1)/(2*x-1)/(2*x^2-1)/(2*x^3-1)/(2*x^6-1) ogf] A060552 3.73076 [-x^3*(2*x^6+2*x^5-x^4+2*x^3-x^2-1)/(2*x-1)/(2*x^2-1)/(2*x^3-1)/(2*x^6-1) ogf] A060553 7.24117 [-2*(4*x^5+x^4-x^3-2*x^2-x+1)/(2*x^3-1)/(2*x-1)/(2*x^2-1) ogf] A060554 5.39450 [441-1260*x+900*x^2+(-42+522*x+600*x^3-1080*x^2)*f(x)+(100*x^4+141*x^2+1-22*x-220*x^3)*f(x)^2 lgdogf] A060555 5.51437 [144-720*x+900*x^2+(-24+324*x+600*x^3-900*x^2)*f(x)+(100*x^4+141*x^2+1-22*x-220*x^3)*f(x)^2 lgdogf] A060557 12.1044 [-(-3+7*x+x^3-3*x^2)/(x-1)/(x^3-6*x^2+5*x-1) lgdogf] A060557 4.71711 [{a(n+3)-5*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A060557 4.75923 [(13*f(x)-2)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A060557 8.73825 [-(x-1)^2/(x^3-6*x^2+5*x-1) ogf] A060558 15.7033 [-(x+11)*(7*x+5)/(x-1)/(x^2+10*x+5) lgdogf] A060558 4.63242 [-(x^2+10*x+5)/(x-1)^9 ogf] A060559 15.1376 [-(43+106*x+27*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A060559 4.08291 [-(x+3)*(3*x+1)/(x-1)^11 ogf] A060560 4.00398 [-x*(13*x^6+258*x^5+1014*x^4+949*x^3+264*x^2+21*x+1)/(x-1)^9 ogf] A060560 5.88177 [-3*(10+232*x+370*x^5+2120*x^4+3250*x^3+13*x^6+1565*x^2)/(x-1)/(13*x^6+258*x^5+1014*x^4+949*x^3+264*x^2+21*x+1) lgdogf] A060561 3.18276 [x*(x^8+36*x^7+804*x^6+4844*x^5+8790*x^4+4844*x^3+804*x^2+36*x+1)/(x-1)^10 ogf] A060566 11.1551 [(2809*f(x)-48093944)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1681*x^2-f(x)-3280*x+1601) ogf] A060566 11.9849 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1601,a(1)=1523,a(2)=1447} ogf] A060566 15.8792 [-(1447-3042*x+1601*x^2)/(x-1)/(1601*x^2-3122*x+1523) lgdogf] A060566 20.7167 [-(1681*x^2-3280*x+1601)/(x-1)^3 ogf] A060569 11.5594 [-(5*x^3+5*x^2-17*x-13)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A060569 6.85379 [-(2499*f(x)-1987)*(f(x)*x^4-6*f(x)*x^2+5*x^3+5*x^2+f(x)-17*x-13) ogf] A060569 8.36275 [-(17+146*x+5*x^6+10*x^5-21*x^4-52*x^3+87*x^2)/(x^2-2*x-1)/(x^2+2*x-1)/(5*x^3+5*x^2-17*x-13) lgdogf] A060576 11.8872 [{-a(n+3)+a(n+2),a(0)=1,a(1)=0,a(2)=1} ogf] A060576 18.6158 [-f(x)*x-x^2+f(x)+x-1 ogf] A060576 21.9253 [-(x^2-x+1)/(x-1) ogf] A060576 33.9521 [-x^5+x^2+x ogf_with_Euler_transform] A060576 42.2903 [x*(x-2)/(x-1)/(x^2-x+1) lgdogf] A060577 11.3517 [(1+4*x+4*x^5-8*x^2+16*x^3-14*x^4)/(x-1)/(2*x^5-4*x^4+4*x^3-4*x^2+2*x-1) lgdogf] A060577 9.66882 [(2*x^5-4*x^4+4*x^3-4*x^2+2*x-1)/(x-1)^3 ogf] A060578 5.01651 [-(8*x^9-36*x^8+66*x^7-70*x^6+51*x^5-24*x^4+8*x^3-6*x^2+3*x-1)/(x-1)^6 ogf] A060578 5.86413 [3*(1-x-154*x^6+123*x^5+24*x^3-69*x^4-48*x^8+118*x^7+8*x^9)/(x-1)/(8*x^9-36*x^8+66*x^7-70*x^6+51*x^5-24*x^4+8*x^3-6*x^2+3*x-1) lgdogf] A060584 11.3480 [-x*(x^4+1)/(x-1)/(x^6+x^3+1) ogf] A060584 13.3244 [-(1-6*x^5-3*x^4+8*x^3-3*x^2+8*x^6+3*x^10-2*x^9)/(x-1)/(x^6+x^3+1)/(x^4+1) lgdogf] A060584 18.3711 [x^8-x^7+x^3-x^2+1 ogf_with_Euler_transform] A060588 7.88957 [-x*(2*x^5-2*x^4+x^3+x^2-x+2)/(x-1)/(x^6+x^3+1) ogf] A060588 9.26360 [-(1+2*x-18*x^5+12*x^4-4*x^2+18*x^6-8*x^10+8*x^9+4*x^11-6*x^7)/(x-1)/(2*x^5-2*x^4+x^3+x^2-x+2)/(x^6+x^3+1) lgdogf] A060589 12.0194 [-18*f(x)*x^2+9*f(x)*x-f(x)+2*x ogf] A060589 15.5431 [2*x/(3*x-1)/(6*x-1) ogf] A060589 15.7163 [-1/36*(-2-9*x+(4+36*x+9*x^2)^(1/2))/x revogf] A060589 20.7680 [-9*(-1+4*x)/(6*x-1)/(-1+3*x) lgdogf] A060589 7.20289 [{a(n+2)-9*a(n+1)+18*a(n),a(0)=0,a(1)=2} ogf] A060590 11.5903 [2*x*(2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A060590 6.86418 [-(31*f(x)-65)*(4*f(x)*x^4-5*f(x)*x^2-4*x^3-2*x^2+f(x)-2*x) ogf] A060590 8.93095 [-(-1-14*x+16*x^5+12*x^4+16*x^3-5*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(1+x)/(2*x^2+x+1) lgdogf] A060593 3.58311 [{(-4*n^3-22*n^2-40*n-24)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=1} ogf] A060602 4.34141 [(23*f(x)+1412)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+8*x^3-6*f(x)*x-22*x^2+f(x)+24*x-8) ogf] A060626 13.3061 [2*(x^2-4*x-1)/(x-1)^3 ogf] A060626 26.5452 [-(1+x)*(x-7)/(x-1)/(x^2-4*x-1) lgdogf] A060626 7.11993 [(61*f(x)-482)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+8*x+2) ogf] A060626 7.11993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=14,a(2)=34} ogf] A060629 3.45558 [{(-16*n^3-120*n^2-300*n-250)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=27} ogf] A060633 10.3747 [-(-123+16*x+153*x^2-78*x^3+2*x^4)/(x-1)/(2*x^4-43*x^3+94*x^2-43*x-16) lgdogf] A060633 7.37330 [(2*x^4-43*x^3+94*x^2-43*x-16)/(x-1)^5 ogf] A060635 7.01439 [-(4+32*x+3*x^6-65*x^2+10*x^3+5*x^4-14*x^5)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1)/(x^2-x+1) lgdogf] A060635 7.43244 [-2*(x^2-x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A060641 10.8577 [-(85*x^2-226*x+161)/(x-1)^3 ogf] A060641 15.9558 [-(257-282*x+85*x^2)/(x-1)/(85*x^2-226*x+161) lgdogf] A060641 5.68734 [(188050*f(x)-673169)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+85*x^2-f(x)-226*x+161) ogf] A060641 6.07292 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=161,a(1)=257,a(2)=373} ogf] A060645 12.7840 [-(-2-9*x+2*(4*x+1)^(1/2)*(1+5*x)^(1/2))/x revogf] A060645 14.0169 [4*x/(x^2-18*x+1) ogf] A060645 23.8247 [-2*(-9+x)/(x^2+1-18*x) lgdogf] A060645 6.49565 [{a(n+2)-18*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A060645 8.8774 [-f(x)*x^2+18*f(x)*x-f(x)+4*x ogf] A060647 11.5040 [-(x^2-2*x-1)/(x-1)/(3*x^2-1) ogf] A060647 12.5025 [-(3+4*x+3*x^4-12*x^3-2*x^2)/(x-1)/(3*x^2-1)/(x^2-2*x-1) lgdogf] A060647 6.21014 [(15*f(x)+29)*(3*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-2*x-1) ogf] A060647 6.26559 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A060712 9.65471 [27-27*f(x)+9*f(x)^2-f(x)^3 lgdegf] A060725 39.7162 [-(1-x^4+x^5)/(x-1) lgdegf] A060725 7.82187 [-(x^10-30*x^5+300)/(x-1)/(x^10+30*x^5+300) egf] A060726 3.46133 [-(11*x^11+6*x^10+6*x^9+204*x^8+204*x^7+204*x^6-60*x^5-2376*x^2-2376*x-2376)/(5*x^11-198*x^9+132*x^6+60*x^5-2376*x^3+2376) egf] A060726 31.6292 [-(1-x^5+x^6)/(x-1) lgdegf] A060727 31.6292 [-(1-x^6+x^7)/(x-1) lgdegf] A060727 4.44670 [-(13*x^13+7*x^12+7*x^11+7*x^10+7*x^9+280*x^8+280*x^7-84*x^6-3822*x-3822)/(6*x^13-273*x^9+182*x^7+84*x^6-3822*x^2+3822) egf] A060747 13.4552 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=1} ogf] A060747 17.5131 [f(x)*x^2-2*f(x)*x+f(x)-3*x+1 ogf] A060747 24.5184 [(3*x-1)/(x-1)^2 ogf] A060747 33.0393 [1/2/(-3+x)*(-1+2*x+(1+8*x)^(1/2)) revogf] A060747 49.5589 [-(3*x+1)/(3*x-1)/(x-1) lgdogf] A060762 14.8879 [-(3*x^2-2*x-2)/(x+1)/(x-1)^2 ogf] A060762 19.7987 [-(-4-2*x+3*x^3-x^2)/(x-1)/(x+1)/(3*x^2-2*x-2) lgdogf] A060762 7.69625 [-(65*f(x)+629)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-2*x-2) ogf] A060762 8.10856 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=3} ogf] A060783 19.7578 [-3*(-3-4*x+2*x^2)/(x-1)/(2*x^2-4*x-1) lgdogf] A060783 3.84482 [{(164*n^2+458*n+260)*a(n+1)+(-591*n^2-2200*n-2367)*a(n+2)+(427*n^2+690*n+263)*a(n+3),a(0)=0,a(1)=0,a(2)=4} ogf] A060783 8.38869 [4*x^2*(2*x^2-4*x-1)/(x-1)^5 ogf] A060784 16.2530 [-3*x^2*(-7+2*x)/(x-1)/(3*x^3-10*x^2+5*x-1) lgdogf] A060784 7.29982 [4*x*(3*x^3-10*x^2+5*x-1)/(x-1)^5 ogf] A060785 12.2326 [-6*x*(3*x+2)/(x-1)^3 ogf] A060785 29.6138 [-3*(2*x+3)/(3*x+2)/(x-1) lgdogf] A060785 6.01435 [-(3175*f(x)-31122)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+12*x) ogf] A060785 6.38691 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=54} ogf] A060786 11.6800 [-(35+204*x+132*x^2+4*x^3)/(x-1)/(2*x^3+42*x^2+30*x+1) lgdogf] A060786 6.35165 [-36*x*(2*x^3+42*x^2+30*x+1)/(x-1)^5 ogf] A060787 12.1180 [-18*x*(3*x+1)/(x-1)^3 ogf] A060787 32.0059 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A060787 6.00808 [-(536*f(x)-12285)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+54*x^2-f(x)+18*x) ogf] A060787 6.27160 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=18,a(2)=108} ogf] A060788 13.9816 [-2*(-7-21*x-3*x^2+x^3)/(x-1)/(x^3-3*x^2-9*x-1) lgdogf] A060788 3.55030 [{(n^2+9*n+14)*a(n+1)+(10*n^2+78*n+152)*a(n+2)+(-11*n^2-39*n-34)*a(n+3),a(0)=0,a(1)=18,a(2)=252} ogf] A060788 6.80475 [18*x*(x^3-3*x^2-9*x-1)/(x-1)^5 ogf] A060789 7.45158 [(x^10+x^9+x^8+2*x^7+5*x^6+x^5+5*x^4+2*x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A060790 11.2880 [-(x-1)*(3*x^2+3*x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A060790 5.8562 [(856*f(x)-811)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+3*x^3-2*f(x)*x+f(x)-4*x+1) ogf] A060790 9.98274 [-(2-4*x-6*x^4+32*x^3+3*x^6-7*x^2)/(x-1)/(3*x^2+3*x-1)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A060791 7.70927 [(x^4+x^3+3*x^2+x+1)*(x^4+x^3-x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A060798 13.2780 [2*(1+2*x^5+8*x^3-7*x^4-x^2)/(x-1)/(2*x^2-2*x+1)/(x^3-x^2-x-1) lgdogf] A060798 6.78084 [(3*f(x)-44)*(f(x)*x^3-2*x^4-3*f(x)*x^2+4*x^3+3*f(x)*x-f(x)-2*x+2) ogf] A060798 9.71393 [(2*x^2-2*x+1)*(x^3-x^2-x-1)/(x-1)^3 ogf] A060801 12.0095 [(x-1)^2/(2*x^2-5*x+1) ogf] A060801 23.9986 [-(x+3)/(x-1)/(2*x^2-5*x+1) lgdogf] A060801 6.17965 [{-a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=14} ogf] A060801 7.15175 [-f(x)*(2*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A060805 8.05068 [(x^8-2*x^6+x^2+x-2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A060805 8.44008 [(1+3*x-7*x^4+10*x^3+x^11-x^10-x^9+x^8-2*x^7+2*x^6+7*x^5-2*x^2)/(x-1)/(x+1)/(x^2+1)/(x^8-2*x^6+x^2+x-2) lgdogf] A060806 6.40039 [-(f(x)+6)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x+x^2+f(x)-2) ogf] A060816 11.9874 [(2*x^2-2*x+1)/(3*x-1)/(x-1) ogf] A060816 14.8166 [-2*(-1+x+x^2)/(x-1)/(-1+3*x)/(2*x^2-2*x+1) lgdogf] A060816 6.22873 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A060816 6.83149 [(-1+3*f(x))*(3*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A060817 6.19118 [(-1+x+30*x^7-90*x^6+90*x^5-9*x^2+11*x^3-34*x^4)/(x-1)/(6*x^7-12*x^6+6*x^5-2*x^4+3*x^3-x+1) lgdegf] A060817 6.61848 [(6*x^7-12*x^6+6*x^5-2*x^4+3*x^3-x+1)/(x-1)^2 egf] A060819 10.3159 [(x^6+x^5+3*x^4+x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A060819 8.18902 [-(1+6*x+24*x^5+12*x^4+20*x^3+3*x^8+5*x^6+3*x^2+2*x^9+12*x^7)/(x-1)/(1+x)/(x^2+1)/(x^6+x^5+3*x^4+x^3+3*x^2+x+1) lgdogf] A060820 13.2447 [-(x^2+10*x+5)/(x-1)^3 ogf] A060820 24.4252 [-(25+22*x+x^2)/(x-1)/(x^2+10*x+5) lgdogf] A060820 7.01854 [(193*f(x)-1721)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10*x+5) ogf] A060820 7.20324 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=25,a(2)=61} ogf] A060823 10.9312 [-(1+4*x+2*x^5+4*x^4-2*x^3-4*x^2)/(1+x)/(x^2+x-1)/(x^3-3*x+1) lgdogf] A060823 5.10729 [(24*f(x)+13)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+2*x-2) ogf] A060823 9.69646 [-2*(x^2+x-1)/(x+1)/(x^3-3*x+1) ogf] A060824 6.32982 [-2*(x^5-2*x^4+2*x^3-x^2-1)/(x^2-x+1)/(x^9-3*x^3+1) ogf] A060827 10.2469 [-(1+2*x-8*x^5+3*x^4+4*x^3-5*x^6+2*x^2+4*x^7)/(x^2-x-1)/(x^6-x^4-2*x^2+1) lgdogf] A060827 11.5774 [-2*(x^2-x-1)/(x^6-x^4-2*x^2+1) ogf] A060834 12.4169 [-(31*x^2-50*x+31)/(x-1)^3 ogf] A060834 19.4886 [-(43-38*x+31*x^2)/(x-1)/(31*x^2-50*x+31) lgdogf] A060834 6.5676 [-(29*f(x)-494)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31*x^2-f(x)-50*x+31) ogf] A060834 6.91026 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=31,a(1)=43,a(2)=67} ogf] A060836 4.93299 [{(-2+n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=44} ogf] A060836 84.4774 [-6/(x-1) lgdogf] A060836 9.25779 [44*x^4/(x-1)^6 ogf] A060851 14.0474 [3*(9*x+1)/(9*x-1)^2 ogf] A060851 17.4342 [-1/18*(-1-6*x+(24*x+1)^(1/2))/(-1+3*x) revogf] A060851 24.5370 [-27*(3*x+1)/(9*x-1)/(9*x+1) lgdogf] A060851 7.40963 [(16*f(x)+195)*(81*f(x)*x^2-18*f(x)*x+f(x)-27*x-3) ogf] A060851 7.93267 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=3,a(1)=81} ogf] A060867 10.7312 [-(9-28*x+32*x^3-4*x^2)/(x-1)/(1+2*x)/(2*x-1)/(-1+4*x) lgdogf] A060867 10.7614 [-(2*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A060867 5.09751 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=9,a(2)=49} ogf] A060867 6.90595 [(5823*f(x)-3896)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+2*x+1) ogf] A060868 10.9212 [-2*(8-39*x+81*x^3-18*x^2)/(x-1)/(3*x-1)/(1+3*x)/(9*x-1) lgdogf] A060868 10.9365 [-2*(3*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A060868 5.19020 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=2,a(1)=32,a(2)=338} ogf] A060868 5.27968 [(351704*f(x)-212211)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x-f(x)+6*x+2) ogf] A060869 11.0631 [-(25-168*x+512*x^3-144*x^2)/(x-1)/(4*x-1)/(4*x+1)/(16*x-1) lgdogf] A060869 11.4601 [-3*(4*x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A060869 5.48928 [(2325725*f(x)-1140768)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-f(x)+12*x+3) ogf] A060869 5.48928 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=3,a(1)=75,a(2)=1323} ogf] A060870 4.68158 [(18297891*f(x)-7390325)*(125*f(x)*x^3-155*f(x)*x^2+31*f(x)*x-f(x)+20*x+4) ogf] A060870 4.68159 [{a(n+3)-31*a(n+2)+155*a(n+1)-125*a(n),a(0)=4,a(1)=144,a(2)=3844} ogf] A060870 9.33439 [-2*(18-155*x-200*x^2+625*x^3)/(x-1)/(5*x+1)/(25*x-1)/(5*x-1) lgdogf] A060870 9.68058 [-4*(5*x+1)/(x-1)/(25*x-1)/(5*x-1) ogf] A060871 4.01137 [(878675296*f(x)-257754357)*(343*f(x)*x^3-399*f(x)*x^2+57*f(x)*x-f(x)+42*x+6) ogf] A060871 4.07659 [{a(n+3)-57*a(n+2)+399*a(n+1)-343*a(n),a(0)=6,a(1)=384,a(2)=19494} ogf] A060871 8.04697 [-2*(32-399*x-882*x^2+2401*x^3)/(x-1)/(7*x+1)/(7*x-1)/(49*x-1) lgdogf] A060871 8.49866 [-6*(7*x+1)/(x-1)/(7*x-1)/(49*x-1) ogf] A060883 5.00479 [-(x^6+50*x^5+325*x^4+274*x^3+73*x^2-4*x+1)/(x-1)^7 ogf] A060883 6.82952 [-(3+122*x+106*x^5+1225*x^4+2396*x^3+x^6+1187*x^2)/(x-1)/(x^6+50*x^5+325*x^4+274*x^3+73*x^2-4*x+1) lgdogf] A060884 11.2047 [-(1+16*x+32*x^3+5*x^4+66*x^2)/(x-1)/(5*x^4+6*x^3+16*x^2-4*x+1) lgdogf] A060884 7.38331 [-(5*x^4+6*x^3+16*x^2-4*x+1)/(x-1)^5 ogf] A060886 12.0383 [-(1+20*x+x^4+20*x^3+78*x^2)/(x-1)/(x^4+8*x^3+18*x^2-4*x+1) lgdogf] A060886 8.13757 [-(x^4+8*x^3+18*x^2-4*x+1)/(x-1)^5 ogf] A060888 4.98038 [-(7*x^6+78*x^5+351*x^4+232*x^3+57*x^2-6*x+1)/(x-1)^7 ogf] A060888 6.65826 [-(1+78*x+198*x^5+1443*x^4+2332*x^3+7*x^6+981*x^2)/(x-1)/(7*x^6+78*x^5+351*x^4+232*x^3+57*x^2-6*x+1) lgdogf] A060889 3.52957 [-(x^8+322*x^7+5458*x^6+16804*x^5+14410*x^4+3154*x^3+178*x^2-8*x+1)/(x-1)^9 ogf] A060890 3.54670 [-(2*x^8+239*x^7+4321*x^6+15563*x^5+15689*x^4+4237*x^3+275*x^2-7*x+1)/(x-1)^9 ogf] A060891 4.98038 [-(3*x^6+52*x^5+309*x^4+290*x^3+71*x^2-6*x+1)/(x-1)^7 ogf] A060891 6.52642 [-(1+106*x+122*x^5+1187*x^4+2396*x^3+3*x^6+1225*x^2)/(x-1)/(3*x^6+52*x^5+309*x^4+290*x^3+71*x^2-6*x+1) lgdogf] A060892 4.06317 [-(x^8+196*x^7+4096*x^6+15832*x^5+15958*x^4+4012*x^3+232*x^2-8*x+1)/(x-1)^9 ogf] A060893 4.06317 [-(x^8+232*x^7+4348*x^6+15544*x^5+15670*x^4+4264*x^3+268*x^2-8*x+1)/(x-1)^9 ogf] A060894 3.54670 [-(x^8+142*x^7+3238*x^6+14284*x^5+16930*x^4+5374*x^3+358*x^2-8*x+1)/(x-1)^9 ogf] A060899 25.8389 [x*(2*x+1)/(1+4*x+8*x^2) revogf] A060899 4.46329 [{(-16*n-32)*a(n+1)-4*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A060899 7.88322 [-8*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A060899 9.28586 [-1/2*(4*x-1+32*x^2+(-(-1+4*x)*(4*x+1))^(1/2))/x/(4*x+1)/(-1+4*x) lgdogf] A060905 22.4081 [(x+1)*(exp(2*x)*x+exp(x)) lgdegf] A060906 5.39779 [(39+9*n)*a(n+1)+(4-49*n-12*n^2)*a(n+2)+(-151-66*n+4*n^2+3*n^3)*a(n+3)+(84*n+80+28*n^2+3*n^3)*a(n+4),a(0)=1,a(1)=2,a(2)=5/2,a(3)=14/3 lgdegf] A060919 10.0804 [-4*(5*x^2-5*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A060919 5.65916 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=4,a(1)=8,a(2)=20} ogf] A060919 7.01244 [-8*f(x)*x^3+14*f(x)*x^2-7*f(x)*x-20*x^2+f(x)+20*x-4 ogf] A060919 9.30047 [-(2-18*x+40*x^4-80*x^3+59*x^2)/(x-1)/(-1+4*x)/(-1+2*x)/(5*x^2-5*x+1) lgdogf] A060925 13.3762 [-(2*x+1)/(x+1)/(3*x-1) ogf] A060925 14.0251 [1/2/(2+3*x)*(-2*x-1+(16*x^2+12*x+1)^(1/2)) revogf] A060925 15.5014 [-2*(2+3*x+3*x^2)/(3*x-1)/(1+2*x)/(1+x) lgdogf] A060925 7.08153 [(7*f(x)+1)*(3*f(x)*x^2+2*f(x)*x-f(x)+2*x+1) ogf] A060925 7.34062 [{a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=4} ogf] A060926 10.3933 [-(4*x^2+1)/(4*x^3+5*x-1) ogf] A060926 5.36078 [{a(n+3)-5*a(n+2)-4*a(n),a(0)=1,a(1)=5,a(2)=29} ogf] A060926 5.59642 [(13*f(x)-97)*(4*f(x)*x^3+5*f(x)*x+4*x^2-f(x)+1) ogf] A060926 9.56329 [-(1+2*x)*(8*x^3-4*x^2-2*x+5)/(1+4*x^2)/(4*x^3+5*x-1) lgdogf] A060927 11.7166 [(2*x-3)/(4*x^3+5*x-1) ogf] A060927 12.2682 [-(-13+16*x^3-36*x^2)/(2*x-3)/(4*x^3+5*x-1) lgdogf] A060927 5.49217 [{a(n+3)-5*a(n+2)-4*a(n),a(0)=3,a(1)=13,a(2)=65} ogf] A060927 5.66934 [-(236*f(x)-201)*(4*f(x)*x^3+5*f(x)*x-f(x)-2*x+3) ogf] A060928 19.3170 [-1/(4*x^3+5*x-1) ogf] A060928 21.0774 [-(5+12*x^2)/(-1+5*x+4*x^3) lgdogf] A060928 5.89676 [{-a(n+3)+5*a(n+2)+4*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A060928 6.91595 [(f(x)-1)*(4*f(x)*x^3+5*f(x)*x-f(x)+1) ogf] A060929 17.1578 [-3*(3+2*x+2*x^2)/(2*x+1)/(x^2+x-1) lgdogf] A060929 7.64804 [-(2*x+1)^3/(x^2+x-1)^3 ogf] A060930 16.5678 [-4*(3+2*x+2*x^2)/(1+2*x)/(x^2+x-1) lgdogf] A060930 4.80150 [(2*x+1)^4/(x^2+x-1)^4 ogf] A060931 16.9184 [-5*(3+2*x+2*x^2)/(1+2*x)/(x^2+x-1) lgdogf] A060931 3.86802 [-(2*x+1)^5/(x^2+x-1)^5 ogf] A060932 15.5461 [-6*(3+2*x+2*x^2)/(1+2*x)/(x^2+x-1) lgdogf] A060933 24.3311 [-7*(3+2*x+2*x^2)/(1+2*x)/(x^2+x-1) lgdogf] A060933 4.09970 [{(-n-4)*a(n+4)+(18-n)*a(n+3)+(20+3*n)*a(n+2)+(16+2*n)*a(n+1),a(0)=1,a(1)=21,a(2)=217,a(3)=1498} ogf] A060934 3.60622 [(445*f(x)+717)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-4*x^3-6*f(x)*x+11*x^2+f(x)-11*x-1) ogf] A060934 6.49119 [(4*x^3-11*x^2+11*x+1)/(x^2-3*x+1)^2 ogf] A060934 7.92079 [-(-17-7*x+4*x^4-10*x^3+21*x^2)/(x^2-3*x+1)/(4*x^3-11*x^2+11*x+1) lgdogf] A060945 13.6497 [-(2+2*x+2*x^4+2*x^3+x^6+4*x^2)/(1+x)/(x^3-x^2+2*x-1)/(x^3+x+1) lgdogf] A060945 23.2686 [-1/(x+1)/(x^3-x^2+2*x-1) ogf] A060945 9.46085 [f(x)*(f(x)*x^4+f(x)*x^2+f(x)*x-f(x)+1) ogf] A060961 11.2468 [-(1+2*x+x^8+2*x^6+3*x^4+4*x^3+2*x^2)/(x^2+x+1)/(x^2-x+1)/(x^5+x^3+x-1) lgdogf] A060961 19.5642 [-1/(x^5+x^3+x-1) ogf] A060961 7.09851 [(2*f(x)^2-6*f(x)+3)*(f(x)*x^5+f(x)*x^3+f(x)*x-f(x)+1) ogf] A060962 16.1285 [-x^9+x^6+x^5+2*x^4+x^2+2*x+1 ogf_with_Euler_transform] A060962 3.94863 [-(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^7 ogf] A060981 7.82106 [-(1763*x^4-82*x^3-3096*x^2+74*x+1373)/(x+1)^2/(x-1)^3 ogf] A060981 8.14105 [-(1447+747*x+1763*x^5+1599*x^4-2318*x^3-3046*x^2)/(x-1)/(1+x)/(1763*x^4-82*x^3-3096*x^2+74*x+1373) lgdogf] A060982 4.33550 [(8100*x^19-7000*x^18-200*x^11+119*x^10-1029*x^9+x^8+x^7+x^6+x^5+x^4+x^3+3*x^2-x+11)/(x-1)/(100*x^9-1) ogf] A060995 15.6326 [2*x/(2*x^2-4*x+1) ogf] A060995 16.2535 [-1/2*(-1-2*x+(1+4*x+2*x^2)^(1/2))/x revogf] A060995 25.8578 [-4*(x-1)/(2*x^2+1-4*x) lgdogf] A060995 7.14080 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=0,a(1)=2} ogf] A060995 9.80349 [-2*f(x)*x^2+4*f(x)*x-f(x)+2*x ogf] A060999 15.7086 [-(3+5*x+4*x^4+3*x^3+9*x^2)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A060999 24.0160 [-x^3+x^2+x+3 ogf_with_Euler_transform] A060999 9.83927 [(x^2+1)*x/(x^2+x+1)/(x-1)^4 ogf] A061003 4.43567 [x*(x^4+5*x^3+5*x+1)*(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A061004 5.26545 [-2*x*(x^6+5*x^5+16*x^4+16*x^3+16*x^2+5*x+1)/(x^2+x+1)/(x+1)/(x-1)^7 ogf] A061005 5.11226 [-x*(x^6+5*x^5+16*x^4+16*x^3+16*x^2+5*x+1)/(x^2+x+1)/(x+1)/(x-1)^7 ogf] A061037 5.76268 [x*(3*x^10+x^9+3*x^8-14*x^6-6*x^5-30*x^4-2*x^3-21*x^2-3*x-5)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A061038 5.46552 [-(4*x^11+4*x^9+x^8+24*x^7+16*x^6+88*x^5+6*x^4+100*x^3+16*x^2+36*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A061062 3.36016 [{(-n^2-6*n-9)*a(n+1)+(n^2+6*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A061064 14.3655 [-1/176*(-125-1581*x^2+25*(25+210*x^2+1145*x^4)^(1/2))/x lgdogf] A061084 17.0966 [-(3*x+1)/(x^2-x-1) ogf] A061084 22.2784 [1/2/(x+3)*(-1+x+(5*x^2+1+10*x)^(1/2)) revogf] A061084 25.7594 [-(2+2*x+3*x^2)/(3*x+1)/(x^2-x-1) lgdogf] A061084 8.54831 [-(5*f(x)-14)*(f(x)*x^2-f(x)*x-f(x)+3*x+1) ogf] A061084 9.38229 [{-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A061085 13.5895 [-2*(60*x^5-75*x^4-2)/(x-1)^2 ogf] A061085 15.6421 [2*(2+90*x^5-225*x^4+150*x^3)/(x-1)/(60*x^5-75*x^4-2) lgdogf] A061085 5.75665 [{(n+3)*a(n+1)+(-n-2)*a(n+2),a(0)=4,a(1)=8,a(2)=12,a(3)=16,a(4)=170} ogf] A061094 9.00382 [(4+2*x+5*x^4+2*x^3+7*x^9-15*x^8+8*x^7+4*x^6-9*x^5-6*x^2)/(x-1)/(x^9-x^8+x^6-x^5+2*x^3-2*x^2+2*x-3) lgdogf] A061094 9.67124 [-(x^9-x^8+x^6-x^5+2*x^3-2*x^2+2*x-3)/(x-1)^2 ogf] A061099 7.82323 [-(x^4+63*x^3+34*x^2+63*x+1)/(x+1)^2/(x-1)^3 ogf] A061099 9.44071 [-(64+136*x+x^5+127*x^4+169*x^3+475*x^2)/(x-1)/(1+x)/(x^4+63*x^3+34*x^2+63*x+1) lgdogf] A061100 7.82323 [-(4*x^4+45*x^3+64*x^2+45*x+4)/(x+1)^2/(x-1)^3 ogf] A061100 9.09106 [-(49+193*x+4*x^5+94*x^4+253*x^3+379*x^2)/(x-1)/(1+x)/(4*x^4+45*x^3+64*x^2+45*x+4) lgdogf] A061101 7.78034 [-(16*x^4+9*x^3+112*x^2+9*x+16)/(x+1)^2/(x-1)^3 ogf] A061101 8.91613 [-(25+313*x+16*x^5+175*x^2+409*x^3+34*x^4)/(x-1)/(x+1)/(16*x^4+9*x^3+112*x^2+9*x+16) lgdogf] A061102 13.4002 [-2*(32+183*x+4*x^3+105*x^2)/(x-1)/(8*x^3+93*x^2+60*x+1) lgdogf] A061102 3.89179 [{(-69*n^2-313*n-350)*a(n+1)+(108*n^2+424*n+800)*a(n+2)+(-39*n^2-201*n-252)*a(n+3),a(0)=1,a(1)=64,a(2)=343} ogf] A061102 5.10962 [(2227*f(x)+124947)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-93*x^2+f(x)-60*x-1) ogf] A061102 9.50778 [(8*x^3+93*x^2+60*x+1)/(x-1)^4 ogf] A061103 10.0360 [(x^3+60*x^2+93*x+8)/(x-1)^4 ogf] A061103 15.5724 [-(125+399*x+123*x^2+x^3)/(x-1)/(x^3+60*x^2+93*x+8) lgdogf] A061103 4.06586 [{(39*n^2+189*n+222)*a(n+1)+(-108*n^2-656*n-1380)*a(n+2)+(69*n^2+377*n+510)*a(n+3),a(0)=8,a(1)=125,a(2)=512} ogf] A061103 5.35704 [(12692*f(x)+876367)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-60*x^2+f(x)-93*x-8) ogf] A061162 11.2753 [hypergeom([1/6,5/6],[1/2],108*x) ogf] A061162 4.88302 [{(216*n^2+648*n+462)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=30} ogf] A061165 12.2947 [-(3-8*x+6*x^4+8*x^3+6*x^2)/(x-1)/(6*x^4-8*x^3+10*x^2-7*x+2) lgdogf] A061165 7.70874 [-(6*x^4-8*x^3+10*x^2-7*x+2)/(x-1)^5 ogf] A061166 5.45933 [-(38*x^6-29*x^5+32*x^4-35*x^3+26*x^2-11*x+2)/(x-1)^7 ogf] A061166 7.60951 [-(3-14*x+170*x^5-49*x^4-12*x^3+38*x^6+25*x^2)/(x-1)/(38*x^6-29*x^5+32*x^4-35*x^3+26*x^2-11*x+2) lgdogf] A061167 35.9751 [[8-2*x] ogf_with_Euler_transform] A061167 37.7766 [-4*(x+2)/(x-1)/(1+x) lgdogf] A061167 5.73280 [{(n+1)*a(n+3)-8*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=30} ogf] A061167 7.70165 [30*x^2*(x+1)^2/(x-1)^6 ogf] A061169 5.12163 [(x+1)*(12*x^3-35*x^2+29*x+1)/(x^2-3*x+1)^3 ogf] A061169 6.61525 [-3*(-13-54*x+8*x^5-11*x^4-24*x^3+79*x^2)/(x+1)/(1+x^2-3*x)/(12*x^3-35*x^2+29*x+1) lgdogf] A061170 3.60670 [(16*x^6-72*x^5+193*x^4-278*x^3+123*x^2+58*x+1)/(x^2-3*x+1)^4 ogf] A061171 11.3662 [-(19-13*x+4*x^3-3*x^2)/(2*x-3)/(x+1)/(1+x^2-3*x) lgdogf] A061171 4.13421 [(2810*f(x)-159)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+2*x^2+f(x)-x-3) ogf] A061171 7.97310 [-(x+1)*(2*x-3)/(x^2-3*x+1)^2 ogf] A061172 5.23544 [-(2*x-3)*(4*x^3-9*x^2+15*x+3)/(x^2-3*x+1)^3 ogf] A061172 6.76560 [-2*(60+33*x+8*x^5+98*x^3-33*x^4-138*x^2)/(2*x-3)/(x^2-3*x+1)/(4*x^3-9*x^2+15*x+3) lgdogf] A061173 4.16158 [-(x+1)*(2*x-3)*(4*x^3-11*x^2+11*x+1)/(x^2-3*x+1)^4 ogf] A061173 5.89876 [-(70+234*x+24*x^6-80*x^5-445*x^2+185*x^3+65*x^4)/(2*x-3)/(x+1)/(x^2-3*x+1)/(4*x^3-11*x^2+11*x+1) lgdogf] A061178 11.3562 [-3*(3-2*x+x^4-x^2)/(x-1)/(x^2+x+1)/(1+x^2-3*x) lgdogf] A061178 6.36607 [-(x-1)*(x^2+x+1)/(x^2-3*x+1)^3 ogf] A061179 4.55137 [(x^4+2*x^3-5*x^2+2*x+1)/(x^2-3*x+1)^4 ogf] A061179 8.19798 [-2*(-7+2*x^5-20*x^3+5*x^4+19*x^2)/(x^2-3*x+1)/(x^4+2*x^3-5*x^2+2*x+1) lgdogf] A061180 3.62259 [-(x-1)*(x^4+6*x^3-9*x^2+6*x+1)/(x^2-3*x+1)^5 ogf] A061180 6.74930 [-5*(4+4*x+x^6+6*x^5+38*x^3-25*x^4-27*x^2)/(x-1)/(x^2-3*x+1)/(x^4+6*x^3-9*x^2+6*x+1) lgdogf] A061182 10.3431 [-2*(-11+21*x+6*x^3-17*x^2)/(3*x^2-5*x+3)/(1+x^2-3*x) lgdogf] A061182 6.25233 [(3*x^2-5*x+3)/(x^2-3*x+1)^3 ogf] A061183 4.77942 [-(x-1)*(x^2-x+1)/(x^2-3*x+1)^4 ogf] A061183 9.59288 [-(10-22*x-15*x^3+5*x^4+23*x^2)/(x-1)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A061184 6.31630 [-(-65+148*x+30*x^5-85*x^4+128*x^3-159*x^2)/(1+x^2-3*x)/(5*x^4-10*x^3+11*x^2-10*x+5) lgdogf] A061185 5.55428 [-(49-105*x+21*x^6-49*x^5+42*x^4-37*x^3+82*x^2)/(x-1)/(x^2+x+1)/(3*x^2-5*x+3)/(x^2-3*x+1) lgdogf] A061206 19.3792 [-10*(1+2*x)/(4*x+1)/(x-1) lgdegf] A061206 6.35936 [{(-n^2-9*n-18)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=10} ogf] A061206 9.06209 [(4*x+1)/(x-1)^6 egf] A061208 6.53404 [-(x^28-x^27+x^19-x^18+x^9-x^8+x^6-x^5+x^4-x^3+x^2-x-1)/(x-1)^2 ogf] A061222 12.9053 [-2*(45+17*x-3*x^3+x^4)/(x-1)/(2*x^4-7*x^3+7*x^2+5*x+17) lgdogf] A061222 7.53935 [-(2*x^4-7*x^3+7*x^2+5*x+17)/(x-1)^5 ogf] A061223 6.57870 [(7*x^4-30*x^3+48*x^2+62*x+33)/(x-1)^6 ogf] A061223 9.95759 [-2*(130+203*x+7*x^4-31*x^3+51*x^2)/(x-1)/(7*x^4-30*x^3+48*x^2+62*x+33) lgdogf] A061224 5.63494 [-2*(17*x^5-100*x^4+244*x^3-314*x^2+223*x-130)/(x-1)^6 ogf] A061224 7.30934 [-(-557+487*x+17*x^5-115*x^4+332*x^3-524*x^2)/(x-1)/(17*x^5-100*x^4+244*x^3-314*x^2+223*x-130) lgdogf] A061225 4.61743 [-2*(32*x^6-227*x^5+687*x^4-1148*x^3+1124*x^2-489*x+381)/(x-1)^7 ogf] A061225 5.76010 [-2*(1089-343*x-131*x^5+463*x^4-922*x^3+16*x^6+1088*x^2)/(x-1)/(32*x^6-227*x^5+687*x^4-1148*x^3+1124*x^2-489*x+381) lgdogf] A061252 13.8598 [-1/480*(-31*x-1+(x^2+62*x+1)^(1/2))/x revogf] A061252 14.4809 [x/(16*x-1)/(15*x-1) ogf] A061252 17.0937 [-(-31+480*x)/(16*x-1)/(15*x-1) lgdogf] A061252 6.20608 [{a(n+2)-31*a(n+1)+240*a(n),a(0)=0,a(1)=1} ogf] A061252 8.40825 [-240*f(x)*x^2+31*f(x)*x-f(x)+x ogf] A061253 12.5139 [-(27*x-5)/(9*x-1)/(3*x-1) ogf] A061253 13.0864 [-3*(11-90*x+243*x^2)/(27*x-5)/(3*x-1)/(9*x-1) lgdogf] A061253 13.3838 [-1/54*(-5-12*x+(25+12*x+36*x^2)^(1/2))/(x+1) revogf] A061253 6.39006 [-(14*f(x)+51)*(27*f(x)*x^2-12*f(x)*x+f(x)+27*x-5) ogf] A061253 7.06666 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=5,a(1)=33} ogf] A061263 14.4994 [-(7+5*x-7*x^3+4*x^4+15*x^2)/(x-1)/(x^2+x+1)/(x^2-2*x+3) lgdogf] A061263 8.61654 [x^3*(x^2-2*x+3)/(x^2+x+1)/(x-1)^4 ogf] A061278 10.0159 [f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A061278 18.8104 [-x/(x-1)/(x^2-4*x+1) ogf] A061278 23.0709 [-(5-10*x+3*x^2)/(x-1)/(x^2-4*x+1) lgdogf] A061278 6.94799 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A061279 11.9401 [-(x+1)^2/(2*x^3+2*x^2-1) ogf] A061279 15.8686 [-2*(1+2*x+3*x^2+x^3)/(x+1)/(2*x^3+2*x^2-1) lgdogf] A061279 7.16408 [(14*f(x)-11)*(2*f(x)*x^3+2*f(x)*x^2+x^2-f(x)+2*x+1) ogf] A061279 7.24029 [{-a(n+3)+2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A061316 10.0143 [-3*x*(x^2+1)/(x-1)^5 ogf] A061316 25.7025 [[-x^3+x+5] ogf_with_Euler_transform] A061316 26.4371 [-(5+2*x+3*x^2)/(x-1)/(1+x^2) lgdogf] A061316 3.81254 [{(n+3)*a(n+4)+(-7-n)*a(n+3)+(-1+n)*a(n+2)+(-n-3)*a(n+1),a(0)=0,a(1)=3,a(2)=15,a(3)=48} ogf] A061317 10.3383 [3*x*(x+1)^2/(x-1)^4 ogf] A061317 35.6830 [[6-2*x] ogf_with_Euler_transform] A061317 37.1851 [-2*(x+3)/(x-1)/(x+1) lgdogf] A061317 5.35244 [-(280*f(x)+753)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-6*x^2+f(x)-3*x) ogf] A061317 5.63204 [{(n+2)*a(n+3)-6*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=18} ogf] A061318 3.83790 [-4*x*(x^6+x^5+22*x^4+22*x^3+22*x^2+x+1)/(x-1)^9 ogf] A061318 6.69381 [-(10+52*x+3*x^6+10*x^5+220*x^3+115*x^4+220*x^2)/(x-1)/(x^6+x^5+22*x^4+22*x^3+22*x^2+x+1) lgdogf] A061319 4.35749 [-x*(x^6+x^5+22*x^4+22*x^3+22*x^2+x+1)/(x-1)^9 ogf] A061319 7.61105 [-(10+52*x+10*x^5+115*x^4+220*x^3+3*x^6+220*x^2)/(x-1)/(x^6+x^5+22*x^4+22*x^3+22*x^2+x+1) lgdogf] A061347 12.5048 [{a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A061347 16.276 [f(x)*x^2+f(x)*x+f(x)-2*x-1 ogf] A061347 22.7864 [(2*x+1)/(x^2+x+1) ogf] A061347 30.1337 [-1/2*(-1+x+(-3*x^2+6*x+1)^(1/2))/(-2+x) revogf] A061347 35.6126 [-(-1+2*x+2*x^2)/(1+2*x)/(x^2+x+1) lgdogf] A061349 10.7392 [-2*(3+11*x+x^5+7*x^4+14*x^3+20*x^2)/(x-1)/(x+1)/(x^4+4*x^3+4*x^2+4*x+1) lgdogf] A061349 7.36855 [x*(x^4+4*x^3+4*x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A061403 4.46318 [{(4*n^2+32*n+48)*a(n+1)-a(n+2),a(0)=384,a(1)=7680} ogf] A061462 10.5710 [-(2*x^8+x^7+x^6+2*x^5+2*x^2+x+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A061479 6.33361 [x*(x^2+x+1)*(x^6+x^3+1)/(x-1)/(100*x^9-1) ogf] A061489 6.36282 [(-2-10*x-4*x^7+7*x^8+6*x^9+2*x^11-30*x^5-15*x^6-34*x^3-41*x^4-22*x^2+4*x^10)/(x+1)/(x^3+x+1)/(x^4+x^2-1)/(x^4+x^3+2*x^2+2*x+1) lgdogf] A061489 6.72223 [-x*(x^3+x+1)*(x^4+x^3+2*x^2+2*x+1)/(x+1)/(x^4+x^2-1) ogf] A061495 4.63528 [{(9*n^3+99*n^2+362*n+440)*a(n+1)+(-9*n^3-45*n^2-74*n-40)*a(n+3),a(0)=6,a(1)=60,a(2)=504} ogf] A061495 6.34126 [-2*(5+84*x+10*x^7+280*x^5+245*x^4+490*x^3+42*x^6+140*x^2)/(x-1)/(1+x)/(10*x^6+28*x^5+125*x^4+70*x^3+80*x^2+10*x+1) lgdogf] A061495 6.40877 [6*(10*x^6+28*x^5+125*x^4+70*x^3+80*x^2+10*x+1)/(x-1)^4/(x+1)^4 ogf] A061501 6.52166 [-(x^12+3*x^11+6*x^10+10*x^9+5*x^8-5*x^6+5*x^4+10*x^3+6*x^2+3*x+1)*(x^2-x+1)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A061504 12.6523 [-(3*x^5+2*x^4+6*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A061504 9.14382 [(-2-8*x-12*x^3+3*x^8-6*x^6-8*x^5-21*x^4-18*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^5+2*x^4+6*x^3+4*x^2+2*x+1) lgdogf] A061506 4.87596 [{(9*n^3+99*n^2+362*n+440)*a(n+1)+(-9*n^3-45*n^2-74*n-40)*a(n+3),a(0)=12,a(1)=120,a(2)=1008} ogf] A061506 6.20185 [-2*(5+84*x+280*x^5+245*x^4+490*x^3+42*x^6+10*x^7+140*x^2)/(x-1)/(x+1)/(10*x^6+28*x^5+125*x^4+70*x^3+80*x^2+10*x+1) lgdogf] A061506 6.63786 [12*(10*x^6+28*x^5+125*x^4+70*x^3+80*x^2+10*x+1)/(x-1)^4/(x+1)^4 ogf] A061524 7.03145 [-(25*x^4-125*x^3+315*x^2-415*x+224)/(x-1)^5 ogf] A061524 9.43958 [-5*(141-206*x+5*x^4-30*x^3+114*x^2)/(x-1)/(25*x^4-125*x^3+315*x^2-415*x+224) lgdogf] A061525 10.2953 [-(-361+264*x+6*x^2-32*x^3+3*x^4)/(x-1)/(3*x^4-22*x^3+24*x^2+54*x-83) lgdogf] A061525 7.21154 [(3*x^4-22*x^3+24*x^2+54*x-83)/(x-1)^5 ogf] A061534 11.2730 [-(3+x^4)/(-1+x)/(x+1)/(x^3-x^2-3*x+1) lgdogf] A061534 12.8364 [-(x-1)*(x+1)/(x^3-x^2-3*x+1) ogf] A061534 6.53282 [{a(n+3)-3*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A061534 6.83809 [(f(x)-1)*(f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)-1) ogf] A061539 4.38732 [4*x^3*f(x)^2-8*f(x)^2*x^2-10*f(x)*x^3+x^4+6*f(x)^2*x+20*f(x)*x^2+2*x^3-f(x)^2-12*f(x)*x-8*x^2+2*f(x)+6*x-1 ogf] A061547 12.0389 [x*(x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A061547 13.2514 [-2*(-1-4*x+4*x^3+4*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A061547 6.18214 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A061547 6.63267 [(4*f(x)-5)*(4*f(x)*x^3-4*f(x)*x^2-5*x^3-f(x)*x+3*x^2+f(x)+x-1) ogf] A061550 16.3546 [-(35+35*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2+15*x+5) lgdogf] A061550 5.17364 [(256*f(x)+9537)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+15*x^2+f(x)-45*x-15) ogf] A061550 7.01102 [{(-2*n-9)*a(n+1)+(2*n+3)*a(n+2),a(0)=15,a(1)=105} ogf] A061550 9.37724 [3*(x^3-5*x^2+15*x+5)/(x-1)^4 ogf] A061551 10.7418 [-(2*x^2-1)/(x-1)/(x^3+3*x^2-1) ogf] A061551 11.0341 [-(1+2*x-4*x^2-4*x^3+4*x^4+4*x^5)/(x-1)/(2*x^2-1)/(x^3+3*x^2-1) lgdogf] A061551 5.96769 [f(x)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-1) ogf] A061557 13.7234 [1/2*(-6-5*x+((9+8*x)*(x+2)^2)^(1/2))/(x+1)^2 revogf] A061557 3.33266 [{(-4*n^2-18*n-20)*a(n+1)+(37*n^2+276*n+500)*a(n+2)+(-9*n^2-81*n-162)*a(n+3),a(0)=3,a(1)=8,a(2)=23} ogf] A061557 7.61164 [x^3*f(x)^2+2*f(x)*x^2+5*f(x)*x-2*f(x)+x+6 ogf] A061561 6.05993 [-(112*x^9+80*x^8-60*x^7-48*x^6-90*x^5-72*x^4+18*x^2+35*x+22)/(x-1)/(x+1)/(2*x^2-1)/(2*x^4-1) ogf] A061570 14.7971 [-x*(4*x^2-6*x-1)/(x-1)^2 ogf] A061570 29.6840 [-2*(x-4)/(x-1)/(4*x^2-6*x-1) lgdogf] A061570 7.39854 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=8,a(3)=11} ogf] A061570 8.18869 [(831*f(x)+20246)*(f(x)*x^2+4*x^3-2*f(x)*x-6*x^2+f(x)-x) ogf] A061572 4.21484 [{(n^3+9*n^2+27*n+27)*a(n+1)+(-n^2-9*n-19)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=47} ogf] A061573 4.18898 [{(-n^3-10*n^2-33*n-36)*a(n+1)+(n^2+9*n+20)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=60} ogf] A061575 5.1991 [-x^3*f(x)^2+f(x)^2*x^2+f(x)*x^3-f(x)*x^2-x^3-f(x)^2+x^2+f(x)-x ogf] A061587 11.8195 [729-243*f(x)+27*f(x)^2-f(x)^3 lgdegf] A061593 3.33989 [{(-51*n-285)*a(n+1)+(170*n+933)*a(n+2)+(-102*n-519)*a(n+3)+(17*n+78)*a(n+4),a(0)=12,a(1)=79,a(2)=408,a(3)=1847} ogf] A061593 4.4532 [(60095287487*f(x)+24123411439)*(9*f(x)*x^4-33*f(x)*x^3+28*f(x)*x^2+9*x^3-9*f(x)*x-33*x^2+f(x)+29*x-12) ogf] A061593 6.93687 [-(-79+369*x-569*x^2+477*x^3-189*x^4+27*x^5)/(3*x-1)/(x^2-3*x+1)/(9*x^3-33*x^2+29*x-12) lgdogf] A061593 8.79777 [-(9*x^3-33*x^2+29*x-12)/(x^2-3*x+1)/(3*x-1)^2 ogf] A061594 4.30773 [(20*x^5-60*x^4+20*x^3+52*x^2-13*x-1)/(3*x-1)/(4*x-1)^2/(2*x^2-4*x+1)^2 ogf] A061600 10.0315 [-(x^3-9*x^2+3*x-1)/(x-1)^4 ogf] A061600 17.2175 [-(-1-9*x+x^3-15*x^2)/(x-1)/(x^3-9*x^2+3*x-1) lgdogf] A061600 4.29124 [{(7*n^2+37*n+46)*a(n+1)+(-10*n^2-36*n-28)*a(n+2)+(3*n^2+11*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=7} ogf] A061600 5.51731 [(61*f(x)+191)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-9*x^2+f(x)+3*x-1) ogf] A061601 13.2836 [2*(4-5*x-855*x^10+450*x^9+405*x^11)/(x-1)/(90*x^11-90*x^10+10*x-9) lgdogf] A061601 13.4780 [-(90*x^11-90*x^10+10*x-9)/(x-1)^2 ogf] A061603 25.2146 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A061639 11.4581 [1/2/(1-x+x^2)*(-1+x-x^2+(-(1-x+x^2)*(3*x^2-3*x-1))^(1/2)) revogf] A061639 6.65704 [-f(x)^2*x^2-f(x)^2*x+f(x)*x^2-f(x)^2+f(x)*x-x^2+f(x)-x ogf] A061640 2.99928 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^2-6*n-9)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A061646 12.4412 [-(3*x^2+x-1)/(x^2-3*x+1)/(x+1) ogf] A061646 13.7996 [-(1-2*x+x^2+2*x^3+3*x^4)/(x+1)/(x^2-3*x+1)/(3*x^2+x-1) lgdogf] A061646 6.77600 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A061646 8.52709 [-f(x)*x^3+2*f(x)*x^2+2*f(x)*x-3*x^2-f(x)-x+1 ogf] A061647 11.7531 [-(-3-6*x+3*x^2+2*x^3+x^4)/(x+1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A061647 12.9915 [(x^2+x+1)/(x^2-3*x+1)/(x+1) ogf] A061647 7.07571 [(32*f(x)-5)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-x-1) ogf] A061647 7.07571 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A061648 6.25574 [-2*(3-13*x+2*x^6+2*x^7+26*x^2-43*x^3+52*x^4-28*x^5)/(x-1)/(x^2-3*x+1)/(2*x^5-9*x^3+8*x^2-4*x+1) lgdogf] A061648 6.70632 [-(2*x^5-9*x^3+8*x^2-4*x+1)/(x-1)/(x^2-3*x+1)^3 ogf] A061650 15.2492 [1/(20*x-1)^2 ogf] A061650 22.4118 [4*x/(1+(1+80*x)^(1/2))^2 revogf] A061650 41.3756 [-40/(-1+20*x) lgdogf] A061650 6.38341 [{-a(n+2)+40*a(n+1)-400*a(n),a(0)=1,a(1)=40} ogf] A061650 8.39908 [(5*f(x)+11)*(400*f(x)*x^2-40*f(x)*x+f(x)-1) ogf] A061654 13.0989 [-(7*x-1)/(16*x-1)/(x-1) ogf] A061654 13.4242 [-1/2*(-17*x-1+(225*x^2+6*x+1)^(1/2))/(7+16*x) revogf] A061654 14.3830 [-2*(5-16*x+56*x^2)/(x-1)/(7*x-1)/(-1+16*x) lgdogf] A061654 6.61988 [-(69*f(x)-19)*(16*f(x)*x^2-17*f(x)*x+f(x)+7*x-1) ogf] A061654 7.24293 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=1,a(1)=10} ogf] A061667 12.3100 [-(x-1)^2/(2*x-1)/(x^2-3*x+1) ogf] A061667 15.3633 [-(-3+9*x-6*x^2+2*x^3)/(x-1)/(-1+2*x)/(x^2-3*x+1) lgdogf] A061667 6.70453 [(17*f(x)+1)*(2*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A061667 6.70454 [{a(n+3)-5*a(n+2)+7*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A061679 10.8964 [-(-87-119*x+7*x^3-41*x^2)/(x-1)/(7*x^3-31*x^2-19*x-17) lgdogf] A061679 4.15181 [(231*f(x)+9017)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+7*x^3-4*f(x)*x-31*x^2+f(x)-19*x-17) ogf] A061679 7.52515 [-(7*x^3-31*x^2-19*x-17)/(x-1)^4 ogf] A061681 5.54332 [-(8*x^28-x^27-x^26-x^24-x^22-x^20-x^18-x^14-x^9+7*x^5-4*x^4-2*x^3-x^2-1)/(x-1)^2 ogf] A061703 4.15066 [-(2331*f(x)+16427)*(f(x)*x^4-2*f(x)*x^3+4*x^4-2*f(x)*x^2-6*x^3+4*f(x)*x-4*x^2-f(x)+4*x) ogf] A061703 7.78889 [-2*x*(2*x^3-3*x^2-2*x+2)/(x-1)/(x^3-x^2-3*x+1) ogf] A061703 8.39519 [-2*(3-7*x+5*x^2+2*x^4-3*x^5+x^6)/(x-1)/(x^3-x^2-3*x+1)/(2*x^3-3*x^2-2*x+2) lgdogf] A061705 10.1120 [-(2*x^3+2*x^2-x-2)/(x^2+x-1)^2 ogf] A061705 12.3967 [-(-5-5*x+2*x^4+2*x^3+3*x^2)/(x^2+x-1)/(2*x^3+2*x^2-x-2) lgdogf] A061705 5.52214 [(425*f(x)+108)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x+2*x^2+f(x)-x-2) ogf] A061706 3.46648 [x^2*(x-1)^8/(4*x^9+x^8-79*x^7+166*x^6-225*x^5+206*x^4-129*x^3+50*x^2-11*x+1) ogf] A061709 4.30873 [-(23681*f(x)+135843)*(128*f(x)*x^4-80*f(x)*x^3+64*x^4-8*f(x)*x^2+16*x^3+10*f(x)*x-12*x^2-f(x)-6*x+1) ogf] A061709 5.97306 [-4*(1-10*x-512*x^5+1792*x^6+352*x^3-784*x^4-6*x^2)/(8*x-1)/(2*x-1)/(8*x^2-1)/(64*x^4+16*x^3-12*x^2-6*x+1) lgdogf] A061709 7.72760 [-(64*x^4+16*x^3-12*x^2-6*x+1)/(8*x-1)/(2*x-1)/(8*x^2-1) ogf] A061722 12.5393 [-(17*x^2-4*x+7)/(x-1)^3 ogf] A061722 21.1801 [-(47+6*x+7*x^2)/(x-1)/(7*x^2-4*x+17) lgdogf] A061722 6.70203 [(101*f(x)-455)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)-4*x+7) ogf] A061722 6.81961 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=17,a(2)=47} ogf] A061726 6.01764 [-2*(2*x^6+9*x^4-4*x^3+9*x^2+2)/(x^2+1)^3/(x-1)^3 ogf] A061726 9.37625 [-3*(2+2*x+22*x^4+2*x^8+13*x^6-10*x^5+5*x^2)/(x-1)/(x^2+1)/(2*x^6+9*x^4-4*x^3+9*x^2+2) lgdogf] A061727 4.76734 [-(4*x^13+x^12+18*x^9+3*x^8-8*x^7+18*x^5+3*x^4+4*x+1)/(x-1)^3/(x+1)^3/(x^4+1)^3 ogf] A061761 12.2821 [x*(5*x-3)/(2*x-1)/(x-1)^2 ogf] A061761 17.6842 [-(7-23*x+20*x^2)/(x-1)/(5*x-3)/(-1+2*x) lgdogf] A061761 6.30702 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=3,a(2)=7} ogf] A061761 6.42274 [(4*f(x)+145)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-5*x^2-f(x)+3*x) ogf] A061776 10.2274 [(2*x+1)*(x^2+1)/(x-1)/(2*x^2-1) ogf] A061776 11.7143 [-3*(-1-2*x-x^2+4*x^3+2*x^4)/(x-1)/(2*x+1)/(2*x^2-1)/(x^2+1) lgdogf] A061776 5.30595 [{a(n+4)-a(n+3)-2*a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=6,a(3)=12} ogf] A061776 7.27517 [-2*f(x)*x^3+2*f(x)*x^2+2*x^3+f(x)*x+x^2-f(x)+2*x+1 ogf] A061777 10.9422 [-2*(-2-4*x+2*x^5+4*x^4+7*x^3-x^2)/(x-1)/(2*x+1)/(-1+2*x^2)/(1+x^2) lgdogf] A061777 3.66482 [{(6*n+20)*a(n+1)+(-6*n-14)*a(n+2)+(-3*n-10)*a(n+3)+(3*n+7)*a(n+4),a(0)=1,a(1)=4,a(2)=10,a(3)=22} ogf] A061777 5.33788 [(6*f(x)-11)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*x^3+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A061777 9.56660 [-(2*x+1)*(x^2+1)/(2*x^2-1)/(x-1)^2 ogf] A061792 11.8515 [-(x+6)*(6*x+1)/(x-1)^3 ogf] A061792 20.0067 [-(55+86*x+6*x^2)/(x-1)/(x+6)/(6*x+1) lgdogf] A061792 6.28028 [(239*f(x)-5805)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+37*x+6) ogf] A061792 6.38950 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=55,a(2)=153} ogf] A061793 12.0186 [-(3*x^2+19*x+3)/(x-1)^3 ogf] A061793 20.2888 [-(x+14)*(3*x+2)/(x-1)/(3*x^2+19*x+3) lgdogf] A061793 6.4796 [(61*f(x)-759)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+19*x+3) ogf] A061793 6.53644 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=28,a(2)=78} ogf] A061800 14.5827 [(3*x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A061800 20.8742 [-6*x*(1+x^3+x)/(x-1)/(x^2+x+1)/(3*x^2-x+1) lgdogf] A061800 5.42407 [{(3*n+10)*a(n+1)+3*a(n+2)+3*a(n+3)+(-3*n-7)*a(n+4),a(0)=1,a(1)=0,a(2)=3,a(3)=4} ogf] A061800 7.6685 [(612*f(x)+2263)*(f(x)*x^4-f(x)*x^3-f(x)*x-3*x^2+f(x)+x-1) ogf] A061801 12.2492 [(x+1)/(6*x-1)/(x-1) ogf] A061801 12.2553 [-1/2*(-1-7*x+(1+18*x+25*x^2)^(1/2))/(-1+6*x) revogf] A061801 14.5738 [-2*(-4+6*x+3*x^2)/(x-1)/(6*x-1)/(1+x) lgdogf] A061801 6.40947 [(11*f(x)+5)*(6*f(x)*x^2-7*f(x)*x+f(x)-x-1) ogf] A061801 6.72212 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=1,a(1)=8} ogf] A061803 14.1114 [-2*(9+43*x+x^3+19*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A061803 6.32560 [(x^2+10*x+1)*(x+1)^2/(x-1)^6 ogf] A061804 10.8422 [6*x*(x+1)^2/(x-1)^4 ogf] A061804 37.9349 [[6-2*x] ogf_with_Euler_transform] A061804 39.5664 [-2*(x+3)/(x-1)/(x+1) lgdogf] A061804 5.65014 [-(140*f(x)+753)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-12*x^2+f(x)-6*x) ogf] A061804 5.98746 [{(n+2)*a(n+3)-6*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=6,a(2)=36} ogf] A061821 5.82885 [5*x*(9*x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A061829 7.42984 [5*(20*x^11+2*x^6+3*x^5+4*x^4+4*x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A061834 3.58244 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^3-6*n^2-9*n)*a(n+2)+(n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=2,a(3)=12} ogf] A061866 17.5515 [-2*(1+x+2*x^4-x^3+3*x^2)/(x-1)/(1+x+x^2)/(x^2-x+1) lgdogf] A061866 26.5889 [-x^5+2*x^2+x+2 ogf_with_Euler_transform] A061866 9.47919 [x^3*(x^2-x+1)/(x^2+x+1)/(x-1)^4 ogf] A061891 12.7481 [(2*x^3+3*x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A061891 14.0009 [-(x^2+4*x+1)*(2*x^3+3*x+1)/(x-1)/(x^2+x+1)/(2*x^3+3*x^2+1) lgdogf] A061891 5.05260 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=7} ogf] A061891 7.14334 [(f(x)+42)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-1) ogf] A061908 3.64951 [(x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A061924 21.4776 [1-3*x-(-1+3*x)^(4/3)*(-1)^(2/3) revegf] A061924 4.80239 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-27*n^2-81*n-60)*a(n+2),a(0)=1,a(1)=4} ogf] A061925 12.7647 [-(2*x^3-x^2+1)/(x+1)/(x-1)^3 ogf] A061925 17.6903 [-2*(1+x^2)*(x^2+x+1)/(x-1)/(x+1)/(2*x^3-x^2+1) lgdogf] A061925 7.21486 [(3*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-x^2-f(x)+1) ogf] A061927 34.1326 [[9-3*x] ogf_with_Euler_transform] A061927 35.6162 [-3*(x+3)/(x-1)/(x+1) lgdogf] A061927 5.43537 [{(n+2)*a(n+3)-9*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=9} ogf] A061927 7.22904 [x*(x+1)^3/(x-1)^6 ogf] A061981 14.1184 [-4*x^2/(3*x-1)/(x-1)^2 ogf] A061981 27.3397 [-(-5+9*x)/(3*x-1)/(x-1) lgdogf] A061981 5.77573 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A061981 7.84357 [3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+4*x^2-f(x) ogf] A061982 17.4670 [-(17-38*x+9*x^2)/(x-1)/(3*x-1)/(x-3) lgdogf] A061982 3.60983 [{(3*n^2+18*n+24)*a(n+1)+(-4*n^2-18*n-17)*a(n+2)+(n^2+4*n+3)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A061982 4.63744 [-(91*f(x)-27)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2+x^3-6*f(x)*x-3*x^2+f(x)) ogf] A061982 8.94831 [-x^2*(x-3)/(3*x-1)/(x-1)^3 ogf] A061983 16.1234 [-(-11+2*x+45*x^2)/(x-1)/(5*x+1)/(3*x-1) lgdogf] A061983 3.58944 [{(-9*n^2-30*n-24)*a(n+1)+(12*n^2+22*n+11)*a(n+2)+(-3*n^2-4*n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A061983 4.41201 [-(116856*f(x)+66355)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2-5*x^3-6*f(x)*x-x^2+f(x)) ogf] A061983 8.94831 [x^2*(5*x+1)/(3*x-1)/(x-1)^3 ogf] A061989 24.0144 [-(7+x+4*x^2)/(x-1)/(2*x^2-x+2) lgdogf] A061989 9.35627 [2*x^4*(2*x^2-x+2)/(x-1)^4 ogf] A061990 5.22482 [-2*x^4*(x^3-x^2+x+1)*(x^4+4*x^2+1)/(x-1)^5 ogf] A061990 8.77503 [2*(-3-5*x+x^7-12*x^2+x^3-11*x^4+3*x^5-4*x^6)/(x-1)/(x^3-x^2+x+1)/(x^4+4*x^2+1) lgdogf] A061991 3.62810 [2*x^5*(4*x^11-11*x^10+16*x^9+7*x^8-32*x^7+38*x^6+6*x^5+8*x^4-8*x^3+37*x^2-10*x+5)/(x-1)^6 ogf] A061995 20.6072 [-3*(-13+2*x+x^2)/(x-1)/(x^2+x-8) lgdogf] A061995 7.53359 [2*x^3*(x^2+x-8)/(x-1)^5 ogf] A061996 4.90646 [-4*x^3*(11*x^4-42*x^3+38*x^2+21*x+2)/(x-1)^7 ogf] A061996 8.98245 [-(35+202*x+64*x^2-124*x^3+33*x^4)/(x-1)/(11*x^4-42*x^3+38*x^2+21*x+2) lgdogf] A062025 20.5784 [-(15+35*x+2*x^2)/(x-1)/(x^2+11*x+1) lgdogf] A062025 3.65578 [{(-3-n)*a(n+4)+(-5-10*n)*a(n+3)+(45+10*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=1,a(2)=15,a(3)=55} ogf] A062025 5.07746 [-(1625*f(x)+7141)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-11*x^2+f(x)-x) ogf] A062025 9.88049 [x*(x^2+11*x+1)/(x-1)^4 ogf] A062026 23.5307 [-3*(1+4*x^2)/(x-1)/(4*x^2-2*x+1) lgdogf] A062026 3.87763 [{(n+3)*a(n+4)+(-3*n-9)*a(n+3)+(6+6*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=2,a(2)=6,a(3)=18} ogf] A062026 9.20354 [-2*x*(4*x^2-2*x+1)/(x-1)^5 ogf] A062027 4.73887 [-(35*x^8-195*x^7+440*x^6-505*x^5+292*x^4-85*x^3-10*x^2+5*x-1)/(x-1)^6 ogf] A062028 7.21906 [-x*(7*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A062074 13.7375 [-6*(4+21*x+9*x^2)/(-1+3*x)/(9*x^2+12*x+1) lgdogf] A062074 3.84141 [-(660*f(x)+1087)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-27*x^3-12*f(x)*x-36*x^2+f(x)-3*x) ogf] A062074 7.15462 [3*x*(9*x^2+12*x+1)/(3*x-1)^4 ogf] A062075 3.10190 [{(-64*n^2-272*n-288)*a(n+1)+(32*n^2+128*n+288)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=4,a(2)=256} ogf] A062075 5.47222 [-4*x*(4*x+1)*(16*x^2+40*x+1)/(4*x-1)^5 ogf] A062075 9.68172 [-32*(2+33*x+72*x^2+16*x^3)/(4*x+1)/(-1+4*x)/(16*x^2+40*x+1) lgdogf] A062092 15.2622 [-(3*x+2)/(x+1)/(2*x-1) ogf] A062092 17.2580 [1/2/(3+2*x)*(-x-2+(9*x^2+16*x+4)^(1/2)) revogf] A062092 18.6962 [-(5+8*x+6*x^2)/(3*x+2)/(2*x-1)/(x+1) lgdogf] A062092 7.98602 [(13*f(x)-1)*(2*f(x)*x^2+f(x)*x-f(x)+3*x+2) ogf] A062092 8.37559 [{a(n+2)-a(n+1)-2*a(n),a(0)=2,a(1)=5} ogf] A062098 16.4175 [7/(x-1)^2 egf] A062098 6.08738 [{(-n-3)*a(n+1)+a(n+2),a(0)=7,a(1)=14} ogf] A062098 66.2499 [-2/(x-1) lgdegf] A062098 75.7142 [x/(7+x) revegf] A062098 9.18266 [-f(x)*x^2+2*f(x)*x-f(x)+7 egf] A062107 16.0773 [-x*(x^2+1)/(3*x-1) ogf] A062107 21.6427 [(-3-2*x+3*x^2)/(3*x-1)/(1+x^2) lgdogf] A062107 6.86633 [{-a(n+4)+3*a(n+3),a(0)=0,a(1)=1,a(2)=3,a(3)=10} ogf] A062107 9.02969 [(89*f(x)+24)*(x^3+3*f(x)*x-f(x)+x) ogf] A062109 4.32022 [(f(x)+1)*(16*f(x)*x^4-32*f(x)*x^3-x^4+24*f(x)*x^2+4*x^3-8*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A062109 41.7473 [4/(2*x-1)/(x-1) lgdogf] A062109 5.24093 [{(n+2)*a(n+2)+(-7-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=4} ogf] A062109 7.26583 [(x-1)^4/(2*x-1)^4 ogf] A062112 11.1821 [-(1+4*x+8*x^5-6*x^4-8*x^3+4*x^2)/(x-1)/(2*x+1)/(2*x^4-4*x^2+1) lgdogf] A062112 11.5403 [-x*(2*x+1)*(x-1)/(2*x^4-4*x^2+1) ogf] A062112 9.38612 [2*f(x)*x^4-4*f(x)*x^2+2*x^3-x^2+f(x)-x ogf] A062113 10.0753 [-(2+6*x+4*x^5-8*x^4-8*x^3+2*x^6+5*x^2)/(x^3+x^2-2*x-1)/(2*x^4-4*x^2+1) lgdogf] A062113 11.0673 [-(x^3+x^2-2*x-1)/(2*x^4-4*x^2+1) ogf] A062113 6.85121 [-(4*f(x)+3)*(2*f(x)*x^4-4*f(x)*x^2+x^3+x^2+f(x)-2*x-1) ogf] A062114 10.2152 [-x*(x^2-x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A062114 13.6073 [-2*(1+x+x^5-3*x^3-x^4)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A062114 6.03145 [-(f(x)-1)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+x^3-f(x)*x-x^2+f(x)-x) ogf] A062116 10.8233 [-(2+4*x+8*x^7+9*x^8+2*x^6+24*x^3-25*x^4+10*x^2)/(x-1)/(9*x^4+4*x^3+2*x^2+x+1)/(x^4+1) lgdogf] A062116 12.1798 [-(9*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^4+1) ogf] A062116 6.60451 [-f(x)*(f(x)+15)*(f(x)*x^5-f(x)*x^4+9*x^4+4*x^3+f(x)*x+2*x^2-f(x)+x+1) ogf] A062119 12.1049 [-2*x/(x-1)^3 egf] A062119 4.90740 [{(n^2+5*n+6)*a(n+1)+(-1-n)*a(n+2),a(0)=0,a(1)=2} ogf] A062119 66.9860 [-3/(x-1) lgdegf] A062119 7.0743 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2*x egf] A062123 13.3061 [-(x+2)*(2*x+1)/(x-1)^3 ogf] A062123 22.1210 [-(11+14*x+2*x^2)/(x-1)/(2*x+1)/(x+2) lgdogf] A062123 7.11993 [(43*f(x)-161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+5*x+2) ogf] A062123 7.11993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=11,a(2)=29} ogf] A062124 14.3341 [-2*(13+29*x+x^3+11*x^2)/(x-1)/(2*x^3+8*x^2+14*x+3) lgdogf] A062124 3.63700 [{(-389*n^2-1987*n-2418)*a(n+1)+(-320*n^2-5320*n-13416)*a(n+2)+(709*n^2+4013*n+5658)*a(n+3),a(0)=3,a(1)=26,a(2)=94} ogf] A062124 5.04164 [(1863*f(x)+15739)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-8*x^2+f(x)-14*x-3) ogf] A062124 9.37228 [(2*x^3+8*x^2+14*x+3)/(x-1)^4 ogf] A062125 10.5703 [-(x+2)*(2*x^3+24*x^2+81*x+28)/(x-1)/(2*x^4+10*x^3+33*x^2+31*x+5) lgdogf] A062125 7.04318 [-(2*x^4+10*x^3+33*x^2+31*x+5)/(x-1)^5 ogf] A062126 5.46490 [(x+2)*(2*x^4+8*x^3+36*x^2+31*x+4)/(x-1)^6 ogf] A062126 8.34946 [-2*(x^2+7*x+19)*(x^3+10*x^2+13*x+3)/(x-1)/(x+2)/(2*x^4+8*x^3+36*x^2+31*x+4) lgdogf] A062127 4.86354 [-(2*x^6+14*x^5+72*x^4+207*x^3+289*x^2+132*x+13)/(x-1)^7 ogf] A062127 6.26796 [-(223+1370*x+2*x^6+40*x^5+2066*x^2+1116*x^3+286*x^4)/(x-1)/(2*x^6+14*x^5+72*x^4+207*x^3+289*x^2+132*x+13) lgdogf] A062136 6.55411 [-6*(1+8*x+x^6+36*x^5+2*x^7+15*x^4+50*x^3+15*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+14*x^2+1) lgdogf] A062141 11.5756 [-6*(3+15*x+10*x^2)/(x-1)/(10*x^2+10*x+1) lgdegf] A062141 6.11931 [{(-n^2-11*n-28)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=18} ogf] A062141 6.51594 [(10*x^2+10*x+1)/(x-1)^8 egf] A062142 4.43615 [{(-n^2-13*n-40)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=28} ogf] A062142 9.41634 [-28*(1+9*x+5*x^3+15*x^2)/(x-1)/(20*x^3+45*x^2+18*x+1) lgdegf] A062143 4.72546 [{(-n^2-15*n-54)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=40} ogf] A062143 7.60482 [-40*(1+14*x+42*x^2+35*x^3+7*x^4)/(x-1)/(35*x^4+140*x^3+126*x^2+28*x+1) lgdegf] A062144 4.28578 [{(-n^2-17*n-70)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=54} ogf] A062146 26.0498 [-3+4*x+(1-2*x+x^2)*f(x) lgdegf] A062146 4.01511 [{(-n^2-7*n-10)*a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A062147 14.1049 [-65+52*x+(8-22*x+13*x^2)*f(x)+(1-2*x+x^2)*f(x)^2 lgdegf] A062147 4.78485 [{(-n^2-7*n-10)*a(n+1)+(2*n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=31} ogf] A062148 18.1882 [-14*(3*x+1)/(6*x+1)/(x-1) lgdegf] A062148 4.05039 [{(-n^2-11*n-24)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=14} ogf] A062149 12.5833 [-24*(1+7*x+7*x^2)/(x-1)/(21*x^2+14*x+1) lgdegf] A062149 4.36382 [{(-n^2-13*n-36)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=24} ogf] A062150 4.62902 [{(-n^2-15*n-50)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=36} ogf] A062150 9.47722 [-36*(1+12*x+28*x^2+14*x^3)/(x-1)/(56*x^3+84*x^2+24*x+1) lgdegf] A062151 4.23869 [{(-n^2-17*n-66)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=50} ogf] A062151 6.35489 [-10*(5+90*x+126*x^4+420*x^3+360*x^2)/(x-1)/(126*x^4+336*x^3+216*x^2+36*x+1) lgdegf] A062152 4.40352 [{(-n^2-19*n-84)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=66} ogf] A062152 5.38666 [-66*(1+25*x+42*x^5+300*x^3+210*x^4+150*x^2)/(x-1)/(252*x^5+1050*x^4+1200*x^3+450*x^2+50*x+1) lgdegf] A062157 13.4189 [{-a(n+2)-a(n+1),a(0)=0,a(1)=1} ogf] A062157 130.013 [-x/(-1+x) revogf] A062157 146.265 [-1/(x+1) lgdogf] A062157 17.3226 [f(x)*(f(x)*x+f(x)-x) ogf] A062157 32.8532 [x/(x+1) ogf] A062157 45.2721 [[-1+x] ogf_with_Euler_transform] A062158 12.5688 [(4*x-1)*(x^2+1)/(x-1)^4 ogf] A062158 23.4160 [-2*x*(5+5*x+2*x^2)/(x-1)/(-1+4*x)/(x^2+1) lgdogf] A062158 5.25978 [{(11*n^2+23*n+2)*a(n+1)+(16*n^2+200*n+336)*a(n+2)+(-27*n^2-109*n-84)*a(n+3),a(0)=-1,a(1)=0,a(2)=5} ogf] A062158 6.67448 [-(297*f(x)+247)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+x^2+f(x)-4*x+1) ogf] A062159 12.2184 [-6*x*(7+x^4+42*x+56*x^2+14*x^3)/(x-1)/(6*x^5+27*x^4+76*x^3+6*x^2+6*x-1) lgdogf] A062159 7.67207 [(6*x^5+27*x^4+76*x^3+6*x^2+6*x-1)/(x-1)^6 ogf] A062189 10.2568 [-2*x*(x+1)/(3*x-1)^3 ogf] A062189 23.8297 [-2*(5+3*x)/(x+1)/(-1+3*x) lgdogf] A062189 5.0853 [-(8856*f(x)-3367)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+2*x^2-f(x)+2*x) ogf] A062189 5.30833 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=2,a(2)=20} ogf] A062191 3.94637 [{(-n^2-9*n-14)*a(n+1)+(2*n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=29} ogf] A062191 33.0816 [-(-5+6*x)/(x-1)^2 lgdegf] A062192 28.3321 [-(-7+6*x)/(x-1)^2 lgdegf] A062192 3.39986 [{(-n^2-9*n-14)*a(n+1)+(2*n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=57} ogf] A062193 5.75086 [-(10*x^3+30*x^2+15*x+1)/(x-1)^9 egf] A062193 6.40096 [{(-n^2-12*n-35)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=24} ogf] A062193 8.98525 [-12*(2+15*x+5*x^3+20*x^2)/(x-1)/(10*x^3+30*x^2+15*x+1) lgdegf] A062194 4.60491 [{(-n^2-14*n-48)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=35} ogf] A062194 7.62462 [-35*(1+12*x+30*x^2+20*x^3+3*x^4)/(x-1)/(15*x^4+80*x^3+90*x^2+24*x+1) lgdegf] A062195 4.19159 [{(-n^2-16*n-63)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=48} ogf] A062195 5.41610 [-24*(2+35*x+7*x^5+70*x^4+175*x^3+140*x^2)/(x-1)/(21*x^5+175*x^4+350*x^3+210*x^2+35*x+1) lgdegf] A062197 14.0724 [-4+6*x+(4-7*x+2*x^2)*f(x)+(-x^2-1+2*x)*f(x)^2 lgdegf] A062197 4.30950 [{(n^2+6*n+8)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A062199 27.4814 [-6*(2+5*x)/(5*x+1)/(x-1) lgdegf] A062199 5.83767 [{(-n^2-10*n-21)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=12} ogf] A062199 7.54306 [-(5*x+1)/(x-1)^7 egf] A062200 13.8211 [-(x^2-x-1)/(x^4-x^3-2*x^2+1) ogf] A062200 15.2266 [-(x+1)*(2*x^4-6*x^3+4*x^2+x+1)/(x^2-x-1)/(x^4-x^3-2*x^2+1) lgdogf] A062200 7.88046 [(131*f(x)+18)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^2+f(x)-x-1) ogf] A062201 5.66788 [-(x^3-x^2-1)*(x^3-x-1)/(x^9-x^8-x^7-2*x^6+x^5+x^4+4*x^3-1) ogf] A062201 5.68734 [-(x^2+x+1)*(3*x^12-9*x^11+3*x^10+6*x^9+7*x^8-5*x^7-11*x^6+7*x^2+x+1)/(x^3-x-1)/(x^9-x^8-x^7-2*x^6+x^5+x^4+4*x^3-1)/(x^3-x^2-1) lgdogf] A062236 4.85862 [-729*f(x)^3*x^4+216*f(x)^3*x^3-16*f(x)^3*x^2-54*f(x)^2*x^2+8*f(x)^2*x-f(x)+1 ogf] A062236 8.84677 [1/1458*(-(1+12*x)^(1/2)+6*(1+12*x)^(1/2)*x+1+216*x^3-54*x^2)/x^3 revogf] A062237 3.24913 [(f(x)*x^2-2*f(x)*x+f(x)-10)^2 ogf] A062242 16.6225 [-(x^2-1)/(x^4+x^2+1) ogf_with_Euler_transform] A062243 11.0231 [-(-2*x^10-2*x^7-2*x^6-2*x^4-2*x^3-2)/(x^12-1) ogf_with_Euler_transform] A062243 99.9999 Evaluated at exp(-Pi) 3/4*exp(-1/2*Pi)/Pi*GAMMA(2/3)^2*GAMMA(3/4)^2*(1+3^(1/2))^2/GAMMA(11/12)^2 A062244 11.3181 [-(-x^6+x^5+2*x^4-2*x^2-x+1)/(x^8+x^4+1) ogf_with_Euler_transform] A062244 99.9999 Evaluated at exp(-Pi) 3/4*GAMMA(2/3)^2*GAMMA(11/12)*GAMMA(7/12)^3*(2+3^(1/2))*exp(-1/3*Pi)/Pi/GAMMA(3/4)^4 A062246 10.3142 [-(-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^9-1) ogf_with_Euler_transform] A062257 6.50643 [-(x^2+x+1)*(x^7-x^6-x^5+x^4-x^3+x-1)/(x^10-x^9-x^8-x^6+x^5-2*x+1) ogf] A062258 11.8565 [-(2+x^12-x^6+4*x^3)/(x^6+x^3+1)/(x^7-x^6+2*x^4-x^3+2*x-1) lgdogf] A062258 8.51459 [-(x^6+x^3+1)/(x^7-x^6+2*x^4-x^3+2*x-1) ogf] A062259 4.62513 [-(x+1)*(x^2+1)*(x^6+x^5+x^4+1)/(x^10+x^9+2*x^8+2*x^7+x^4+x^3+x^2+x-1) ogf] A062260 12.1567 [-21*(x+1)*(5*x+1)/(x-1)/(15*x^2+12*x+1) lgdegf] A062260 4.21916 [{(-n^2-12*n-32)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=21} ogf] A062261 4.55670 [{(-n^2-14*n-45)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=32} ogf] A062261 9.49869 [-8*(4+42*x+84*x^2+35*x^3)/(x-1)/(35*x^3+63*x^2+21*x+1) lgdegf] A062262 4.16804 [{(-n^2-16*n-60)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=45} ogf] A062262 6.59849 [-45*(1+16*x+14*x^4+56*x^3+56*x^2)/(x-1)/(70*x^4+224*x^3+168*x^2+32*x+1) lgdegf] A062263 4.35643 [{(-n^2-18*n-77)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=60} ogf] A062263 5.44619 [-30*(2+45*x+42*x^5+420*x^3+252*x^4+240*x^2)/(x-1)/(126*x^5+630*x^4+840*x^3+360*x^2+45*x+1) lgdegf] A062265 10.3622 [-68+85*x+(25-44*x+17*x^2)*f(x)+(-2+4*x-2*x^2)*f(x)^2 lgdegf] A062265 3.70100 [{(-n^2-8*n-12)*a(n+1)+(2*n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=19} ogf] A062266 13.1699 [-222+185*x+(25-64*x+37*x^2)*f(x)+(2-4*x+2*x^2)*f(x)^2 lgdegf] A062266 4.89647 [{(-n^2-8*n-12)*a(n+1)+(2*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=43} ogf] A062267 122.037 [2-2*x lgdegf] A062267 4.98253 [{(2*n+4)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=2} ogf] A062317 12.2742 [-(2+18*x+x^5+3*x^4+23*x^3+13*x^2)/(x-1)/(1+x)/(x^4+x^3+6*x^2+x+1) lgdogf] A062317 8.74613 [-(x^4+x^3+6*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A062318 12.3502 [x*(x+1)/(x-1)/(3*x^2-1) ogf] A062318 15.4065 [-2*(-1-3*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2-1) lgdogf] A062318 6.34197 [{-a(n+3)+a(n+2)+3*a(n+1)-3*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A062318 8.28187 [3*f(x)*x^3-3*f(x)*x^2-f(x)*x-x^2+f(x)-x ogf] A062330 7.26705 [(2+12*x+2496*x^5+831*x^4-14*x^3-7176*x^6+3888*x^7+33*x^2)/(x-1)/(648*x^7-528*x^6-168*x^5-3*x^4-13*x^3-6*x^2-x-1) lgdogf] A062330 8.73464 [2*(648*x^7-528*x^6-168*x^5-3*x^4-13*x^3-6*x^2-x-1)/(x-1) ogf] A062346 19.6561 [-5*(x+3)*(3*x+1)/(x-1)/(5*x^2+10*x+1) lgdogf] A062346 3.63363 [{(n+4)*a(n+4)+(12+9*n)*a(n+3)+(-60-5*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=3,a(1)=45,a(2)=210,a(3)=630} ogf] A062346 9.15136 [-3*(5*x^2+10*x+1)/(x-1)^5 ogf] A062389 8.43191 [(x+1)*(2*x^6+x^5+2*x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A062392 20.7047 [-3*(5+14*x+x^2)/(x-1)/(x^2+10*x+1) lgdogf] A062392 3.60922 [{(n+3)*a(n+4)+(3+9*n)*a(n+3)+(-51-9*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=15,a(3)=66} ogf] A062392 8.50744 [-x*(x^2+10*x+1)/(x-1)^5 ogf] A062393 6.06869 [x*(x^4+26*x^3+66*x^2+26*x+1)/(x+1)/(x-1)^6 ogf] A062393 8.67082 [-(31+269*x+3*x^5+564*x^2+464*x^3+109*x^4)/(x-1)/(x+1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A062394 13.4635 [-(7*x-2)/(6*x-1)/(x-1) ogf] A062394 15.6232 [-(7-24*x+42*x^2)/(x-1)/(6*x-1)/(7*x-2) lgdogf] A062394 6.73178 [-(25*f(x)-1)*(6*f(x)*x^2-7*f(x)*x+f(x)+7*x-2) ogf] A062394 7.38852 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=2,a(1)=7} ogf] A062395 13.6472 [-(9*x-2)/(8*x-1)/(x-1) ogf] A062395 15.8458 [-(9-32*x+72*x^2)/(x-1)/(8*x-1)/(9*x-2) lgdogf] A062395 6.74863 [-(49*f(x)-17)*(8*f(x)*x^2-9*f(x)*x+f(x)+9*x-2) ogf] A062395 7.48933 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=2,a(1)=9} ogf] A062396 12.2163 [-2*(5*x-1)/(9*x-1)/(x-1) ogf] A062396 14.7997 [-(5-18*x+45*x^2)/(x-1)/(9*x-1)/(5*x-1) lgdogf] A062396 16.0682 [-(-1-5*x+(16*x^2+1)^(1/2))/(10+9*x) revogf] A062396 6.24093 [-(16*f(x)-7)*(9*f(x)*x^2-10*f(x)*x+f(x)+10*x-2) ogf] A062396 6.83531 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=2,a(1)=10} ogf] A062397 11.5615 [-(11*x-2)/(10*x-1)/(x-1) ogf] A062397 12.9378 [-(11-40*x+110*x^2)/(x-1)/(11*x-2)/(10*x-1) lgdogf] A062397 5.90374 [-(81*f(x)-41)*(10*f(x)*x^2-11*f(x)*x+f(x)+11*x-2) ogf] A062397 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=2,a(1)=11} ogf] A062508 12.2163 [-8*(8*x-1)/(9*x-1)/(x-1) ogf] A062508 14.0597 [-(-4-5*x+2*(4-6*x+4*x^2)^(1/2))/(64+9*x) revogf] A062508 14.4202 [-2*(1-9*x+36*x^2)/(x-1)/(8*x-1)/(9*x-1) lgdogf] A062508 6.10814 [-(85*f(x)-552)*(9*f(x)*x^2-10*f(x)*x+f(x)+64*x-8) ogf] A062508 6.83531 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=8,a(1)=16} ogf] A062510 17.1554 [1/4*(-x-3+(3*x^2+2*x+3)^(1/2)*3^(1/2))/x revogf] A062510 18.8274 [-3*x/(x+1)/(2*x-1) ogf] A062510 29.8355 [-(1+4*x)/(1+x)/(-1+2*x) lgdogf] A062510 8.60016 [(f(x)+3)*(2*f(x)*x^2+f(x)*x-f(x)+3*x) ogf] A062510 8.60017 [{-a(n+2)+a(n+1)+2*a(n),a(0)=0,a(1)=3} ogf] A062544 14.1288 [-x/(x^3+x^2+x-1)/(x-1)^2 ogf] A062544 18.4276 [-(-3+x+5*x^3+x^2)/(x-1)/(x^3+x^2+x-1) lgdogf] A062545 10.5256 [f(x)*(f(x)*x^2-2*f(x)*x+3*x^2+f(x)-5*x) ogf] A062545 17.3994 [-x*(3*x-5)/(x-1)^2 ogf] A062545 24.7086 [-1/2*(-5-2*x+(25+8*x)^(1/2))/(x+3) revogf] A062545 36.5258 [-(-7+3*x)/(x-1)/(3*x-5) lgdogf] A062545 8.44129 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=5,a(2)=7} ogf] A062547 11.9104 [-(3+16*x+15*x^4+24*x^3+26*x^2)/(1+x)/(3*x^2-1)/(5*x^2+4*x+1) lgdogf] A062547 11.9483 [-(5*x^2+4*x+1)/(x+1)/(3*x^2-1) ogf] A062547 6.28316 [-(3*f(x)+10)*(3*f(x)*x^3+3*f(x)*x^2-f(x)*x+5*x^2-f(x)+4*x+1) ogf] A062547 6.50756 [{-a(n+3)-a(n+2)+3*a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A062561 5.20045 [{(-4*n^2-14*n-12)*a(n+1)+(n^2+4*n+3)*a(n+2),a(0)=0,a(1)=3} ogf] A062561 8.06737 [-4*f(x)^2*x^2+f(x)^2*x-12*f(x)*x+3*f(x)-9*x ogf] A062561 9.99548 [1/8*((x^2+18*x+9)^(1/2)*x+3*(x^2+18*x+9)^(1/2)-9-12*x+x^2)/x^2 revogf] A062708 14.0384 [-x*(7*x+2)/(x-1)^3 ogf] A062708 32.8625 [-(13+14*x)/(7*x+2)/(x-1) lgdogf] A062708 6.72425 [-(26487*f(x)-75911)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+2*x) ogf] A062708 7.14452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=13} ogf] A062709 10.7763 [1/2*ln(2*x+7)-arctanh(1/3*(2*x+16)^(1/2))-1/2*ln(7)+arctanh(4/3) revegf] A062709 15.6343 [-(7*x-4)/(2*x-1)/(x-1) ogf] A062709 17.6842 [-(5-16*x+14*x^2)/(x-1)/(7*x-4)/(-1+2*x) lgdogf] A062709 8.18075 [(f(x)-29)*(2*f(x)*x^2-3*f(x)*x+f(x)+7*x-4) ogf] A062709 8.57982 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=4,a(1)=5} ogf] A062717 10.0899 [-4*(x^2+x+1)*x/(x+1)^2/(x-1)^3 ogf] A062717 19.1811 [-(2+8*x+3*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A062717 32.5181 [-x^2+2*x+2 ogf_with_Euler_transform] A062723 7.21694 [(-1-4*x+36*x^7+162*x^8-108*x^5+27*x^6-42*x^3-36*x^4-18*x^2)/(3*x^3-1)/(18*x^6+6*x^5+9*x^4+3*x^3+2*x^2+x+1) lgdogf] A062723 9.51037 [-(18*x^6+6*x^5+9*x^4+3*x^3+2*x^2+x+1)/(3*x^3-1) ogf] A062724 11.0020 [-(2+2*x+6*x^5+3*x^4-8*x^3-3*x^2)/(x-1)/(x+1)/(3*x^2-2)/(x^2+x-1) lgdogf] A062724 11.0550 [-(3*x^2-2)/(x-1)/(x+1)/(x^2+x-1) ogf] A062724 6.97643 [f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+3*x^2+f(x)-2 ogf] A062725 14.1055 [-x*(2*x+7)/(x-1)^3 ogf] A062725 34.4578 [-(23+4*x)/(2*x+7)/(x-1) lgdogf] A062725 6.93116 [(26001*f(x)-103448)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+7*x) ogf] A062725 7.17870 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=23} ogf] A062728 14.1055 [-x*(x+8)/(x-1)^3 ogf] A062728 37.7395 [-(25+2*x)/(x+8)/(x-1) lgdogf] A062728 6.93116 [(58563*f(x)-269297)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+8*x) ogf] A062728 7.17870 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=25} ogf] A062730 6.21904 [(12+16*x+44*x^5-20*x^4-21*x^3-11*x^8+28*x^6-44*x^7-7*x^2+15*x^9)/(x-1)/(1+x)/(5*x^8-3*x^7-7*x^6+3*x^5-5*x^4+5*x^3+12*x^2-5*x-7) lgdogf] A062730 6.39503 [(5*x^8-3*x^7-7*x^6+3*x^5-5*x^4+5*x^3+12*x^2-5*x-7)/(x+1)^2/(x-1)^3 ogf] A062741 14.0384 [-3*(2*x+1)*x/(x-1)^3 ogf] A062741 35.8500 [-(4*x+5)/(2*x+1)/(x-1) lgdogf] A062741 7.14452 [-(9*f(x)-26)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+3*x) ogf] A062741 7.14452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=15} ogf] A062747 3.70384 [-f(x)^3*x^3-2*f(x)^3*x^2-f(x)^3*x-3*f(x)^2*x^2-3*f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A062747 9.48226 [1/2*(-2*x^2+1-3*x+(-7*x^2+1-10*x)^(1/2))*x/(x+1)^3 revogf] A062748 18.8700 [-(9-7*x+2*x^2)/(x-1)/(x^2-3*x+3) lgdogf] A062748 4.68477 [(218*f(x)+11)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+3*x-3) ogf] A062748 8.96217 [(x^2-3*x+3)/(x-1)^4 ogf] A062749 5.38523 [(3*x^4-15*x^3+30*x^2-29*x+12)/(x-1)^6 ogf] A062749 8.60607 [-(43-85*x+6*x^4-33*x^3+75*x^2)/(x-1)/(3*x^4-15*x^3+30*x^2-29*x+12) lgdogf] A062765 10.3311 [-6*x^2*(8*x^2-5*x+1)/(x-1)^5 ogf] A062765 28.8501 [-4*x*(6*x-1)/(x-1)/(8*x^2-5*x+1) lgdogf] A062765 5.57253 [{(48+24*n)*a(n+1)+(7*n^2-14*n)*a(n+2)+(-7*n^2+18*n+25)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A062779 4.15328 [{(-4*n^3-22*n^2-40*n-24)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=4} ogf] A062781 11.3929 [-x^3/(x^2+x+1)/(x-1)^3 ogf] A062781 21.5161 [-(2+2*x+5*x^2)/(x-1)/(1+x^2+x) lgdogf] A062781 25.8417 [[x^2+2] ogf_with_Euler_transform] A062781 4.03351 [{(n+3)*a(n+1)+2*a(n+2)+2*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A062781 4.54123 [-(5*f(x)-4)*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3-f(x)*x^2+x^3+2*f(x)*x-f(x)) ogf] A062783 12.9975 [-3*x*(5*x+3)/(x-1)^3 ogf] A062783 30.9464 [-2*(5*x+7)/(5*x+3)/(x-1) lgdogf] A062783 6.44321 [-(960*f(x)-7469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+9*x) ogf] A062783 6.73085 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=42} ogf] A062786 13.0425 [-(x^2+8*x+1)/(x-1)^3 ogf] A062786 24.3864 [-(11+18*x+x^2)/(x-1)/(x^2+8*x+1) lgdogf] A062786 6.97888 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=31} ogf] A062786 7.1035 [(7*f(x)-36)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+8*x+1) ogf] A062788 4.36041 [(669792195*f(x)-2564602)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+x^2-f(x)+38*x+1) ogf] A062828 10.0101 [(2*x^6+x^5+3*x^4+2*x^3+6*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A062828 7.53318 [-(1+12*x+48*x^5+12*x^4+20*x^3+3*x^8+10*x^6+12*x^7+6*x^2+4*x^9)/(x-1)/(1+x)/(x^2+1)/(2*x^6+x^5+3*x^4+2*x^3+6*x^2+x+1) lgdogf] A062882 12.5115 [(3*x^3-9*x+4)/(3*x^3-3*x+1) ogf] A062882 16.2445 [-3*(1-2*x+3*x^4)/(3*x^2-1)/(3*x^3-3*x+1) lgdogf] A062882 5.76616 [{-a(n+4)+3*a(n+3)-3*a(n+1),a(0)=4,a(1)=3,a(2)=9,a(3)=18} ogf] A062882 7.21422 [(5*f(x)+12)*(3*f(x)*x^3-3*f(x)*x+9*x^2+f(x)-3) ogf] A062883 5.43017 [-(12-46*x+16*x^7+5*x^8+32*x^2+28*x^3+27*x^4-56*x^5-4*x^6)/(5*x^4+8*x^3-15*x^2-4*x+4)/(x^5+2*x^4-5*x^3-2*x^2+4*x-1) lgdogf] A062883 6.72416 [-(5*x^4+8*x^3-15*x^2-4*x+4)/(x^5+2*x^4-5*x^3-2*x^2+4*x-1) ogf] A062890 5.60163 [x^4*(x^3-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A062890 6.67324 [-(1+x+4*x^2+6*x^3+6*x^4+8*x^5+9*x^6+x^7+10*x^10+12*x^8-10*x^9)/(-1+x)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^3-x^2+1) lgdogf] A062897 6.00365 [-2*(55*x^25-55*x^24+5*x^20-5*x^19+5*x^15-5*x^14+5*x^10-5*x^9+5*x^5-5*x^4-1)/(x-1)^2 ogf] A062905 10.4311 [-15*x*(294*x^7-294*x^6+33*x-34)/(x-1)^2 ogf] A062905 11.3389 [(35-33*x+1764*x^5-3234*x^6+1470*x^7)/(x-1)/(294*x^7-294*x^6+33*x-34) lgdogf] A062908 5.45735 [-2*(56*x^20-x^17-51*x^16+x^15-x^11+x^10-x^6+x^5+4*x^4-x^3-x^2-2*x-10)/(x^2+1)/(x+1)/(x-1)^2 ogf] A062919 11.8498 [(f(x)*x-f(x)+1)^2 egf] A062938 12.1458 [-(25+92*x+x^4-4*x^3+6*x^2)/(x-1)/(x^4-4*x^3+6*x^2+20*x+1) lgdogf] A062938 7.35724 [-(x^4-4*x^3+6*x^2+20*x+1)/(x-1)^5 ogf] A062966 12.5419 [-(-22+28*x+4*x^3-17*x^2)/(x-1)/(x-2)/(x^2-2*x+2) lgdogf] A062966 5.86302 [(x-2)*(x^2-2*x+2)/(x-1)^7 ogf] A062988 3.69019 [{(n+8)*a(n+1)+(-2*n-12)*a(n+2)+(n+4)*a(n+3),a(0)=5,a(1)=20,a(2)=55} ogf] A062988 5.32641 [(x^4-5*x^3+10*x^2-10*x+5)/(x-1)^6 ogf] A062988 8.74594 [-(20-30*x+2*x^4-11*x^3+25*x^2)/(-1+x)/(x^4-5*x^3+10*x^2-10*x+5) lgdogf] A062989 12.6579 [-(25-40*x+3*x^4-16*x^3+35*x^2)/(x-1)/(x^4-5*x^3+10*x^2-10*x+5) lgdogf] A062989 4.46933 [{(n^2+11*n+24)*a(n+1)+(-2*n^2-16*n-24)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=0,a(1)=5,a(2)=25} ogf] A062989 6.68522 [-x*(x^4-5*x^3+10*x^2-10*x+5)/(x-1)^7 ogf] A062990 3.44131 [{(n^2+15*n+50)*a(n+1)+(-2*n^2-22*n-48)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=5,a(1)=30,a(2)=110} ogf] A062990 5.05095 [(x^4-5*x^3+10*x^2-10*x+5)/(x-1)^8 ogf] A062990 9.88465 [-(30-50*x-21*x^3+4*x^4+45*x^2)/(x-1)/(x^4-5*x^3+10*x^2-10*x+5) lgdogf] A062992 34.3852 [-x*(-1+x)/(x+1)^2 revogf] A062992 7.74969 [f(x)^2*x^2+f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A062998 7.48418 [-(10*x^17-12*x^9-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A063016 11.0866 [-3+8*x+(1-12*x+32*x^2)*f(x)+(-12*x^2+32*x^3+x)*f(x)^2 lgdogf] A063016 24.4830 [(-3*x+(8*x^2+1)^(1/2))*x revogf] A063016 3.25962 [{(-32*n^2-128*n-120)*a(n+1)+(12*n^2+66*n+90)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=14} ogf] A063018 12.9195 [a(n+5),a(0)=0,a(1)=1,a(2)=-1,a(3)=-1,a(4)=-1 revogf] A063019 14.2095 [a(n+5),a(0)=0,a(1)=1,a(2)=-1,a(3)=1,a(4)=-1 revogf] A063020 13.7884 [(-2-n)*a(n+3)-a(n+2)+(-3+n)*a(n+1),a(0)=0,a(1)=1,a(2)=-1 revogf] A063021 46.6159 [-x*(-1+x+x^4) revogf] A063022 24.2326 [-x*(x+1)*(x^3-x^2+2*x-1) revogf] A063023 29.2918 [-x*(x^2+1)*(x^2+x-1) revogf] A063024 28.4511 [-x*(-1+x+x^2+x^3+x^4) revogf] A063025 32.0695 [-x*(-1+x-x^2+x^3+x^4) revogf] A063026 25.8609 [-x*(-1+x)*(x+1)*(1-x+x^2) revogf] A063027 29.1232 [-x*(-1+x+x^2-x^3+x^4) revogf] A063028 65.8154 [x*(1-x+x^4) revogf] A063029 28.7614 [x*(-1+x)*(x^3+x^2-1) revogf] A063030 30.9520 [x*(1+x+x^2)*(-1+x)^2 revogf] A063031 30.9442 [x*(1-x-x^2-x^3+x^4) revogf] A063032 31.3417 [x*(1-x-x^2+x^3+x^4) revogf] A063033 15.6120 [a(n+5),a(0)=0,a(1)=1,a(2)=-1,a(3)=0,a(4)=1 revogf] A063034 45.3179 [x*(1-x+x^3+x^4) revogf] A063042 10.6195 [-(7+72*x+28*x^5+36*x^7+9*x^8+108*x^6+54*x^2+36*x^3+15*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^4+18*x^3+36*x^2+7*x+3) lgdogf] A063042 17.7128 [-(9*x^4+18*x^3+36*x^2+7*x+3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A063052 7.07488 [3*(10*x^7-296*x^6+30*x^5+30*x^4+30*x^3+30*x^2+173*x+326)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063081 6.42082 [-(5+19*x+3*x^6+16*x^5+x^7+38*x^4+50*x^3+36*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^4+x^3+4*x^2+5*x+3) lgdogf] A063081 7.08766 [x*(x^4+x^3+4*x^2+5*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063083 4.24388 [{(-2*n-4)*a(n+1)+(-n-1)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A063087 5.15538 [(15*f(x)+71)*(f(x)*x^4-f(x)*x^3-x^4-x^3-f(x)*x-4*x^2+f(x)-3*x-1) ogf] A063087 8.63692 [(x^4+x^3+4*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A063087 9.27708 [-2*(2+6*x+x^5+5*x^4+9*x^3+7*x^2)/(x-1)/(x^4+x^3+4*x^2+3*x+1)/(x^2+x+1) lgdogf] A063089 5.31334 [-(56*f(x)+129)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-6*x^2+f(x)-5*x-1) ogf] A063089 9.16236 [-2*(3+9*x+14*x^3+12*x^2+8*x^4+2*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^3+2*x^2+4*x+1) lgdogf] A063089 9.24660 [(x+1)*(x^3+2*x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A063092 15.4135 [1/2/(1+11*x)*(-x-1+(45*x^2+6*x+1)^(1/2)) revogf] A063092 16.2197 [-(x+1)/(11*x^2+x-1) ogf] A063092 17.6155 [-(2+22*x+11*x^2)/(x+1)/(11*x^2+x-1) lgdogf] A063092 8.29005 [(213*f(x)-197)*(11*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A063092 8.98922 [{-a(n+2)+a(n+1)+11*a(n),a(0)=1,a(1)=2} ogf] A063093 10.7129 [x*(x^2+4*x+5)/(x+1)/(x-1)^2 ogf] A063093 16.3001 [-(x+3)*(x^2+6*x+3)/(x-1)/(x+1)/(x^2+4*x+5) lgdogf] A063093 5.27530 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=5,a(2)=9,a(3)=15} ogf] A063093 5.8516 [(230*f(x)+237)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-4*x^2+f(x)-5*x) ogf] A063094 10.5454 [(x^3+4*x^2+7*x+2)/(x+1)/(x-1)^2 ogf] A063094 14.2398 [-(x+3)*(5*x^2+6*x+3)/(x-1)/(1+x)/(x^3+4*x^2+7*x+2) lgdogf] A063094 5.43012 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=2,a(1)=9,a(2)=15,a(3)=23} ogf] A063094 6.01352 [(23+56*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-4*x^2+f(x)-7*x-2) ogf] A063095 12.9853 [-(6*x^29+2*x^23+2*x^8+2*x^3+x+1)/(x-1) ogf] A063095 9.04476 [2*(-1+2*x^3-8*x^7+7*x^8+84*x^29+22*x^23-23*x^22-87*x^28-3*x^2)/(x-1)/(6*x^29+2*x^23+2*x^8+2*x^3+x+1) lgdogf] A063097 10.2620 [(x^3+2*x^2+5*x+2)/(x+1)/(x-1)^2 ogf] A063097 13.3159 [-(7+15*x+3*x^3+15*x^2)/(x-1)/(x+1)/(x^3+2*x^2+5*x+2) lgdogf] A063097 5.28415 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=2,a(1)=7,a(2)=11,a(3)=17} ogf] A063097 5.5754 [-(210*f(x)-289)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-2*x^2+f(x)-5*x-2) ogf] A063098 14.2457 [(x^2+8*x+3)/(x-1)^2 ogf] A063098 25.4956 [-2*(5*x+7)/(-1+x)/(x^2+8*x+3) lgdogf] A063098 7.25981 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=14,a(2)=26} ogf] A063098 8.03213 [(6*f(x)+31)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-8*x-3) ogf] A063099 5.31334 [-(32*f(x)+251)*(f(x)*x^4-f(x)*x^3-x^4-2*x^3-f(x)*x-6*x^2+f(x)-5*x-2) ogf] A063099 9.16236 [-(7+19*x+27*x^3+25*x^2+15*x^4+3*x^5)/(x-1)/(x^2+x+1)/(x^4+2*x^3+6*x^2+5*x+2) lgdogf] A063099 9.24660 [(x^4+2*x^3+6*x^2+5*x+2)/(x^2+x+1)/(x-1)^2 ogf] A063102 10.8289 [(x^3+5*x^2+9*x+3)/(x+1)/(x-1)^2 ogf] A063102 14.0682 [-2*(x+3)*(3*x^2+4*x+2)/(x-1)/(x+1)/(x^3+5*x^2+9*x+3) lgdogf] A063102 5.53479 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=3,a(1)=12,a(2)=20,a(3)=30} ogf] A063102 6.07477 [(369*f(x)+253)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-5*x^2+f(x)-9*x-3) ogf] A063105 6.67996 [-(9+39*x+25*x^6+70*x^5+114*x^3+3*x^7+112*x^4+84*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^5+3*x^4+10*x^3+13*x^2+9*x+2) lgdogf] A063105 7.95301 [(x^5+3*x^4+10*x^3+13*x^2+9*x+2)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063107 11.2546 [-2*(6+10*x+13*x^2+10*x^3+3*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2+3*x+3) lgdogf] A063107 5.66058 [(91*f(x)+1255)*(f(x)*x^4-f(x)*x^3-x^4-5*x^3-f(x)*x-10*x^2+f(x)-9*x-3) ogf] A063107 9.57944 [(x^2+3*x+3)*(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A063109 10.6588 [(x^3+3*x^2+7*x+3)/(x+1)/(x-1)^2 ogf] A063109 13.3298 [-2*(5+11*x+2*x^3+10*x^2)/(x-1)/(1+x)/(x^3+3*x^2+7*x+3) lgdogf] A063109 5.44785 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=3,a(1)=10,a(2)=16,a(3)=24} ogf] A063109 5.97935 [(-227+497*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-3*x^2+f(x)-7*x-3) ogf] A063110 10.6494 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+10*x+5 ogf] A063110 14.1992 [(x^2+10*x+5)/(x-1)^2 ogf] A063110 25.9003 [-4*(5+3*x)/(x-1)/(x^2+10*x+5) lgdogf] A063110 7.37265 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=5,a(1)=20,a(2)=36} ogf] A063111 5.48851 [-(33*f(x)+467)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-8*x^2+f(x)-7*x-3) ogf] A063111 9.55143 [(x^4+3*x^3+8*x^2+7*x+3)/(x^2+x+1)/(x-1)^2 ogf] A063111 9.59749 [-2*(1+x)*(2*x^4+8*x^3+10*x^2+8*x+5)/(x-1)/(x^2+x+1)/(x^4+3*x^3+8*x^2+7*x+3) lgdogf] A063116 10.5951 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+12*x+3 ogf] A063116 14.1267 [(x^2+12*x+3)/(x-1)^2 ogf] A063116 25.7654 [-2*(9+7*x)/(x-1)/(x^2+12*x+3) lgdogf] A063116 7.33504 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=18,a(2)=34} ogf] A063117 5.53479 [-(56*f(x)-813)*(f(x)*x^4-f(x)*x^3-x^4-7*x^3-f(x)*x-10*x^2+f(x)-9*x-1) ogf] A063117 9.50062 [-2*(2*x^2+5*x+5)*(2*x^3+2*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^4+7*x^3+10*x^2+9*x+1) lgdogf] A063117 9.57944 [(x^4+7*x^3+10*x^2+9*x+1)/(x^2+x+1)/(x-1)^2 ogf] A063118 11.5754 [(x^3+12*x^2+15*x+2)/(x+1)/(x-1)^2 ogf] A063118 14.3923 [-(17+45*x+45*x^2+13*x^3)/(x-1)/(x+1)/(x^3+12*x^2+15*x+2) lgdogf] A063118 6.08778 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=2,a(1)=17,a(2)=31,a(3)=47} ogf] A063118 6.27367 [-(1360*f(x)+4597)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-12*x^2+f(x)-15*x-2) ogf] A063120 14.3933 [(x^2+8*x+5)/(x-1)^2 ogf] A063120 26.6856 [-2*(9+5*x)/(x-1)/(x^2+8*x+5) lgdogf] A063120 7.33504 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=5,a(1)=18,a(2)=32} ogf] A063120 8.11537 [(7*f(x)+46)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-8*x-5) ogf] A063121 10.8289 [(x^3+4*x^2+9*x+4)/(x+1)/(x-1)^2 ogf] A063121 13.8028 [-(13+29*x+25*x^2+5*x^3)/(x-1)/(x+1)/(x^3+4*x^2+9*x+4) lgdogf] A063121 5.53479 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=4,a(1)=13,a(2)=21,a(3)=31} ogf] A063121 5.88344 [-(-89+2934*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-4*x^2+f(x)-9*x-4) ogf] A063122 14.1992 [(x^2+13*x+4)/(x-1)^2 ogf] A063122 25.9003 [-3*(5*x+7)/(x-1)/(x^2+13*x+4) lgdogf] A063122 7.37265 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=4,a(1)=21,a(2)=39} ogf] A063122 8.07112 [(4*f(x)+33)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-13*x-4) ogf] A063125 5.62172 [(380*f(x)+22307)*(f(x)*x^4-f(x)*x^3-x^4-7*x^3-f(x)*x-14*x^2+f(x)-13*x-5) ogf] A063125 9.52928 [-2*(9+23*x+34*x^2+32*x^3+18*x^4+4*x^5)/(x-1)/(x+1)/(x^3+6*x^2+8*x+5)/(x^2+x+1) lgdogf] A063125 9.60673 [(x+1)*(x^3+6*x^2+8*x+5)/(x^2+x+1)/(x-1)^2 ogf] A063126 10.8978 [(x+2)*(x^2+6*x+3)/(x+1)/(x-1)^2 ogf] A063126 14.6509 [-(x+3)*(9*x^2+14*x+7)/(x-1)/(x+2)/(x+1)/(x^2+6*x+3) lgdogf] A063126 5.65070 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=6,a(1)=21,a(2)=35,a(3)=51} ogf] A063126 5.86803 [-(1740*f(x)+1957)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-8*x^2+f(x)-15*x-6) ogf] A063128 14.0510 [(x^2+16*x+7)/(x-1)^2 ogf] A063128 25.6300 [-6*(5+3*x)/(x-1)/(x^2+16*x+7) lgdogf] A063128 7.29572 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=30,a(2)=54} ogf] A063128 7.9869 [(4*f(x)+47)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-16*x-7) ogf] A063129 6.68600 [-(15+65*x+39*x^6+5*x^7+140*x^2+190*x^3+180*x^4+110*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^5+5*x^4+16*x^3+21*x^2+15*x+4) lgdogf] A063129 8.16422 [(x^5+5*x^4+16*x^3+21*x^2+15*x+4)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063130 14.4671 [(x+7)*(x+1)/(x-1)^2 ogf] A063130 25.9003 [-2*(11+5*x)/(x-1)/(x+7)/(x+1) lgdogf] A063130 7.37265 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=22,a(2)=38} ogf] A063130 8.15698 [(8*f(x)+65)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-8*x-7) ogf] A063133 10.8978 [(x^3+7*x^2+15*x+5)/(x+1)/(x-1)^2 ogf] A063133 13.5854 [-4*(5+11*x+10*x^2+2*x^3)/(x-1)/(x+1)/(x^3+7*x^2+15*x+5) lgdogf] A063133 5.65070 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=5,a(1)=20,a(2)=32,a(3)=48} ogf] A063133 6.20199 [(43+497*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-7*x^2+f(x)-15*x-5) ogf] A063134 14.0510 [(x^2+14*x+9)/(x-1)^2 ogf] A063134 26.5454 [-16*(x+2)/(x-1)/(x^2+14*x+9) lgdogf] A063134 7.29572 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=9,a(1)=32,a(2)=56} ogf] A063134 7.7424 [(33*f(x)+1751)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-14*x-9) ogf] A063135 5.71985 [(17*f(x)+821)*(f(x)*x^4-f(x)*x^3-x^4-5*x^3-f(x)*x-12*x^2+f(x)-11*x-5) ogf] A063135 9.12805 [-2*(8+20*x+29*x^2+27*x^3+15*x^4+3*x^5)/(-1+x)/(x^2+x+1)/(x^4+5*x^3+12*x^2+11*x+5) lgdogf] A063135 9.55722 [(x^4+5*x^3+12*x^2+11*x+5)/(x^2+x+1)/(x-1)^2 ogf] A063136 15.2930 [(x^2+10*x+7)/(x-1)^2 ogf] A063136 28.9264 [-12*(x+2)/(x-1)/(x^2+10*x+7) lgdogf] A063136 7.94058 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=24,a(2)=42} ogf] A063136 8.51362 [(11*f(x)+435)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-10*x-7) ogf] A063139 10.4129 [(-15+3*x+14*x^6-48*x^8+6*x^7+28*x^9)/(x-1)/(4*x^9-2*x^8-2*x^7-3*x+9) lgdogf] A063139 10.4888 [(4*x^9-2*x^8-2*x^7-3*x+9)/(x-1)^2 ogf] A063140 14.0510 [(x^2+18*x+5)/(x-1)^2 ogf] A063140 25.6300 [-4*(5*x+7)/(x-1)/(x^2+18*x+5) lgdogf] A063140 7.29572 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=5,a(1)=28,a(2)=52} ogf] A063140 7.9869 [(3*f(x)+34)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-18*x-5) ogf] A063141 6.81912 [-2*(9+39*x+3*x^7+84*x^2+114*x^3+107*x^4+65*x^5+23*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^5+6*x^4+19*x^3+25*x^2+18*x+5) lgdogf] A063141 8.24926 [(x^5+6*x^4+19*x^3+25*x^2+18*x+5)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063142 10.5792 [(x^3+10*x^2+19*x+8)/(x+1)/(x-1)^2 ogf] A063142 13.3737 [-(x+3)*(11*x^2+18*x+9)/(-1+x)/(x+1)/(x^3+10*x^2+19*x+8) lgdogf] A063142 5.56386 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=8,a(1)=27,a(2)=45,a(3)=65} ogf] A063142 5.73375 [-(1178*f(x)+1511)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-10*x^2+f(x)-19*x-8) ogf] A063143 13.9096 [(x^2+14*x+5)/(x-1)^2 ogf] A063143 24.5185 [-8*(3+2*x)/(-1+x)/(x^2+14*x+5) lgdogf] A063143 7.22232 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=5,a(1)=24,a(2)=44} ogf] A063143 7.90654 [(5*f(x)+47)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-14*x-5) ogf] A063144 13.9096 [(x^2+11*x+8)/(x-1)^2 ogf] A063144 24.5185 [-(27+13*x)/(-1+x)/(x^2+11*x+8) lgdogf] A063144 7.22232 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=8,a(1)=27,a(2)=47} ogf] A063144 7.74352 [(40*f(x)+409)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-11*x-8) ogf] A063146 15.1502 [(x^2+16*x+11)/(x-1)^2 ogf] A063146 25.5504 [-2*(19+9*x)/(-1+x)/(x^2+16*x+11) lgdogf] A063146 7.93581 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=11,a(1)=38,a(2)=66} ogf] A063146 8.50266 [(14*f(x)+207)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-16*x-11) ogf] A063147 5.62172 [(240*f(x)+19709)*(f(x)*x^4-f(x)*x^3-x^4-6*x^3-f(x)*x-14*x^2+f(x)-13*x-6) ogf] A063147 9.40866 [-(19+47*x+69*x^2+63*x^3+35*x^4+7*x^5)/(x-1)/(x^2+x+1)/(x^4+6*x^3+14*x^2+13*x+6) lgdogf] A063147 9.60673 [(x^4+6*x^3+14*x^2+13*x+6)/(x^2+x+1)/(x-1)^2 ogf] A063148 14.0510 [(x^2+16*x+7)/(x-1)^2 ogf] A063148 25.6300 [-6*(5+3*x)/(x-1)/(x^2+16*x+7) lgdogf] A063148 7.29572 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=30,a(2)=54} ogf] A063148 7.9869 [(4*f(x)+47)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-16*x-7) ogf] A063149 13.1713 [-5*(x^2-2*x-5)/(x+1)/(x-1)^2 ogf] A063149 18.0869 [-(-7-15*x+x^3-3*x^2)/(x-1)/(1+x)/(-5+x^2-2*x) lgdogf] A063149 6.97303 [-(2*f(x)+375)*(f(x)*x^3-f(x)*x^2-f(x)*x+5*x^2+f(x)-10*x-25) ogf] A063149 7.21557 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=25,a(1)=35,a(2)=55} ogf] A063150 10.6340 [(x^3+11*x^2+21*x+9)/(x+1)/(x-1)^2 ogf] A063150 13.4445 [-2*(x+3)*(6*x^2+10*x+5)/(x-1)/(x+1)/(x^3+11*x^2+21*x+9) lgdogf] A063150 5.59269 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=9,a(1)=30,a(2)=50,a(3)=72} ogf] A063150 5.76346 [-(4767*f(x)+6397)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-11*x^2+f(x)-21*x-9) ogf] A063151 14.3933 [(x^2+6*x+7)/(x-1)^2 ogf] A063151 26.6856 [-4*(2*x+5)/(x-1)/(x^2+6*x+7) lgdogf] A063151 7.33504 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=20,a(2)=34} ogf] A063151 8.11537 [(7*f(x)+51)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-6*x-7) ogf] A063152 15.1427 [(x^2+20*x+11)/(x-1)^2 ogf] A063152 25.5401 [-2*(21+11*x)/(x-1)/(x^2+20*x+11) lgdogf] A063152 7.93190 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=11,a(1)=42,a(2)=74} ogf] A063152 8.49846 [(16*f(x)+265)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-20*x-11) ogf] A063153 10.9537 [(x^3+9*x^2+19*x+7)/(x+1)/(x-1)^2 ogf] A063153 13.4126 [-2*(13+29*x+25*x^2+5*x^3)/(x-1)/(x+1)/(x^3+9*x^2+19*x+7) lgdogf] A063153 5.67967 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=7,a(1)=26,a(2)=42,a(3)=62} ogf] A063153 5.89813 [-(1378+1467*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-9*x^2+f(x)-19*x-7) ogf] A063154 13.5140 [(x+10)*(x+1)/(x-1)^2 ogf] A063154 25.0961 [-(31+13*x)/(x+10)/(x-1)/(x+1) lgdogf] A063154 7.07876 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=10,a(1)=31,a(2)=53} ogf] A063154 7.58439 [(44*f(x)+521)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-11*x-10) ogf] A063155 13.9096 [(x+9)*(x+1)/(x-1)^2 ogf] A063155 25.3639 [-4*(7+3*x)/(-1+x)/(x+9)/(x+1) lgdogf] A063155 7.22232 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=9,a(1)=28,a(2)=48} ogf] A063155 7.90654 [(5*f(x)+53)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-10*x-9) ogf] A063157 10.8978 [(x^3+7*x^2+15*x+7)/(x+1)/(x-1)^2 ogf] A063157 13.3428 [-2*(11+25*x+20*x^2+4*x^3)/(x-1)/(x+1)/(x^3+7*x^2+15*x+7) lgdogf] A063157 5.65070 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=7,a(1)=22,a(2)=36,a(3)=52} ogf] A063157 5.82324 [-(6653+12165*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-7*x^2+f(x)-15*x-7) ogf] A063158 14.9217 [(x^2+24*x+11)/(x-1)^2 ogf] A063158 25.1628 [-2*(23+13*x)/(x-1)/(x^2+24*x+11) lgdogf] A063158 7.81613 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=11,a(1)=46,a(2)=82} ogf] A063158 8.37443 [(18*f(x)+331)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-24*x-11) ogf] A063159 5.64753 [(84*f(x)+4559)*(f(x)*x^4-f(x)*x^3-x^4-9*x^3-f(x)*x-20*x^2+f(x)-19*x-7) ogf] A063159 9.08091 [-2*(13+33*x+47*x^2+45*x^3+25*x^4+5*x^5)/(-1+x)/(x+1)/(x^2+x+1)/(x^3+8*x^2+12*x+7) lgdogf] A063159 9.50786 [(x+1)*(x^3+8*x^2+12*x+7)/(x^2+x+1)/(x-1)^2 ogf] A063160 13.8659 [(x^2+13*x+10)/(x-1)^2 ogf] A063160 24.1013 [-3*(11+5*x)/(x-1)/(x^2+13*x+10) lgdogf] A063160 7.26310 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=10,a(1)=33,a(2)=57} ogf] A063160 7.7819 [(16*f(x)+203)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-13*x-10) ogf] A063161 5.62152 [(32*f(x)+11027)*(f(x)*x^4-f(x)*x^3-x^4-11*x^3-f(x)*x-22*x^2+f(x)-21*x-9) ogf] A063161 9.17701 [-2*(15+37*x+56*x^2+50*x^3+28*x^4+6*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^3+10*x^2+12*x+9) lgdogf] A063161 9.48631 [(x+1)*(x^3+10*x^2+12*x+9)/(x^2+x+1)/(x-1)^2 ogf] A063162 15.1554 [(x+11)*(x+1)/(x-1)^2 ogf] A063162 27.2607 [-2*(17+7*x)/(x+11)/(x-1)/(x+1) lgdogf] A063162 7.93855 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=11,a(1)=34,a(2)=58} ogf] A063162 8.50558 [(12*f(x)+157)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-12*x-11) ogf] A063164 15.3511 [(x^2+22*x+9)/(x-1)^2 ogf] A063164 28.0479 [-8*(3*x+5)/(x-1)/(x^2+22*x+9) lgdogf] A063164 7.97075 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=9,a(1)=40,a(2)=72} ogf] A063164 8.63498 [(7*f(x)+562)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-22*x-9) ogf] A063165 6.76674 [-2*(12+52*x+4*x^7+30*x^6+112*x^2+152*x^3+141*x^4+85*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^5+8*x^4+25*x^3+33*x^2+24*x+7) lgdogf] A063165 8.33430 [(x^5+8*x^4+25*x^3+33*x^2+24*x+7)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063166 15.3583 [(x^2+20*x+7)/(x-1)^2 ogf] A063166 26.2484 [-2*(17+11*x)/(x-1)/(x^2+20*x+7) lgdogf] A063166 7.97450 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=34,a(2)=62} ogf] A063166 8.54999 [(14*f(x)+191)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-20*x-7) ogf] A063168 13.7547 [(x^2+22*x+7)/(x-1)^2 ogf] A063168 24.2481 [-12*(3+2*x)/(x-1)/(x^2+22*x+7) lgdogf] A063168 7.14188 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=7,a(1)=36,a(2)=66} ogf] A063168 7.81849 [(5*f(x)+73)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-22*x-7) ogf] A063195 6.19826 [x*(x^4-x^3+x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063195 6.46570 [-(1+3*x-x^6+x^7+6*x^4+10*x^3+4*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^4-x^3+x+1) lgdogf] A063196 12.0838 [-(-3-3*x+x^3-3*x^2)/(-1+x)/(x+1)/(-1+x^2-2*x) lgdogf] A063196 16.3837 [-x*(x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A063196 8.12931 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=3} ogf] A063196 8.8745 [-(6*f(x)+29)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-2*x^2+f(x)-x) ogf] A063197 6.69933 [-(1+7*x+2*x^6+8*x^5+12*x^4+16*x^3+14*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^3+2*x^2+x+1) lgdogf] A063197 7.11277 [x*(x^3+2*x^2+x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063198 4.35729 [(f(x)+2)*(f(x)*x^4-f(x)*x^3-x^4+2*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A063198 7.34174 [x*(x^3-2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A063198 8.32080 [-(3-x+x^5-3*x^4+5*x^3+7*x^2)/(-1+x)/(x^2+x+1)/(x^3-2*x^2+2*x+1) lgdogf] A063199 5.65070 [2*(1+5*x+3*x^6+7*x^5+x^7+13*x^4+18*x^3+12*x^2)/(-1+x)/(x+1)/(x^5-2*x^4-3*x^3-3*x^2-2*x-1)/(x^2+x+1) lgdogf] A063199 6.46143 [-(x^5-2*x^4-3*x^3-3*x^2-2*x-1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063200 4.3935 [(26*f(x)+121)*(f(x)*x^4-f(x)*x^3-x^4+x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A063200 7.41760 [(x^4-x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A063200 8.54626 [-2*(1+3*x+2*x^4+4*x^3+2*x^2)/(-1+x)/(x^2+x+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A063201 7.71227 [-(3+7*x+3*x^5+15*x^4+19*x^3+13*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(1+3*x+x^2) lgdogf] A063201 7.99413 [x*(x^2+3*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063202 6.28561 [-(5+15*x-x^6+6*x^5+x^7+28*x^4+40*x^3+26*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^4-x^3+2*x^2+5*x+3) lgdogf] A063202 6.71947 [x*(x^4-x^3+2*x^2+5*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063203 6.54586 [(5+23*x+13*x^6+34*x^5+3*x^7+60*x^4+74*x^3+52*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^5-3*x^4-6*x^3-7*x^2-5*x-2) lgdogf] A063203 7.60426 [-(x^5-3*x^4-6*x^3-7*x^2-5*x-2)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063204 7.50187 [-(7+25*x+6*x^6+24*x^5+52*x^4+64*x^3+50*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^3+6*x^2+7*x+3) lgdogf] A063204 8.43370 [x*(3*x^3+6*x^2+7*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063205 5.29447 [-(8*f(x)+271)*(f(x)*x^4-f(x)*x^3+x^4-4*x^3-f(x)*x-4*x^2+f(x)-5*x-2) ogf] A063205 9.14499 [-(x^4-4*x^3-4*x^2-5*x-2)/(x^2+x+1)/(x-1)^2 ogf] A063205 9.18021 [(7+15*x+3*x^5+11*x^4+19*x^3+29*x^2)/(x-1)/(x^2+x+1)/(x^4-4*x^3-4*x^2-5*x-2) lgdogf] A063206 10.2620 [-(x^3-4*x^2-5*x-2)/(x+1)/(x-1)^2 ogf] A063206 13.5770 [(7+19*x+3*x^3+11*x^2)/(x-1)/(x+1)/(x^3-4*x^2-5*x-2) lgdogf] A063206 5.28415 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=2,a(1)=7,a(2)=13,a(3)=17} ogf] A063206 5.95022 [(f(x)-7)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-4*x^2+f(x)-5*x-2) ogf] A063207 7.17920 [-2*(3+11*x+6*x^6+18*x^5+30*x^4+29*x^3+23*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^5+5*x^3+7*x^2+6*x+1) lgdogf] A063207 8.25870 [(x^5+5*x^3+7*x^2+6*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063208 10.3981 [-(1+5*x+x^7+7*x^5+3*x^6+18*x^3+13*x^4+12*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A063208 11.1234 [(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063208 24.2730 [[-x^4+x^2+x+1] ogf_with_Euler_transform] A063209 5.50036 [-(4*f(x)+257)*(f(x)*x^4-f(x)*x^3+x^4-5*x^3-f(x)*x-6*x^2+f(x)-7*x-3) ogf] A063209 9.41973 [2*(5+11*x+2*x^5+14*x^3+8*x^4+20*x^2)/(x-1)/(x^2+x+1)/(x^4-5*x^3-6*x^2-7*x-3) lgdogf] A063209 9.50062 [-(x^4-5*x^3-6*x^2-7*x-3)/(x^2+x+1)/(x-1)^2 ogf] A063210 12.3314 [2*(1+5*x+x^3+x^2)/(-1+x)/(x+1)/(x^3-3*x^2-x-1) lgdogf] A063210 4.41584 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=6} ogf] A063210 6.00919 [-f(x)*x^3+f(x)*x^2-x^3+f(x)*x+3*x^2-f(x)+x+1 ogf] A063210 8.44770 [-(x^3-3*x^2-x-1)/(x+1)/(x-1)^2 ogf] A063211 10.6588 [-(x^3-5*x^2-7*x-3)/(x+1)/(x-1)^2 ogf] A063211 13.8425 [2*(5+13*x+2*x^3+8*x^2)/(x-1)/(1+x)/(x^3-5*x^2-7*x-3) lgdogf] A063211 5.44785 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=3,a(1)=10,a(2)=18,a(3)=24} ogf] A063211 6.12884 [(5*f(x)-21)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-5*x^2+f(x)-7*x-3) ogf] A063212 6.28561 [-(3+9*x+7*x^6+14*x^5+x^7+28*x^4+34*x^3+24*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(1+3*x+x^2)/(1+x^2) lgdogf] A063212 7.09959 [(x^2+1)*(x^2+3*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063213 4.03056 [{(2*n+7)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=5,a(2)=9,a(3)=11} ogf] A063213 5.36326 [-(8*f(x)+69)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-4*x-1) ogf] A063213 9.63830 [(x+1)*(x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A063213 9.69247 [-(5+13*x+x^5+9*x^4+17*x^3+15*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2+3*x+1) lgdogf] A063214 7.30817 [-2*(3+13*x+6*x^6+21*x^5+33*x^4+31*x^3+25*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^5+5*x^3+9*x^2+6*x+1) lgdogf] A063214 8.40359 [(x^5+5*x^3+9*x^2+6*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063215 6.70115 [(11+49*x+5*x^7+27*x^6+74*x^5+108*x^2+150*x^3+128*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^5-5*x^4-12*x^3-15*x^2-11*x-4) lgdogf] A063215 8.03665 [-(x^5-5*x^4-12*x^3-15*x^2-11*x-4)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063216 6.98027 [-(8+36*x+32*x^6+77*x^5+126*x^3+6*x^7+121*x^4+86*x^2)/(x-1)/(1+x)/(x^2+x+1)/(6*x^4+13*x^3+13*x^2+8*x+1) lgdogf] A063216 8.76670 [(6*x^4+13*x^3+13*x^2+8*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063217 6.58656 [-(5+19*x+12*x^6+29*x^5+2*x^7+53*x^4+63*x^3+45*x^2)/(x-1)/(x+1)/(1+x^2+x)/(2*x^4+5*x^3+5*x^2+5*x+2) lgdogf] A063217 8.16211 [(2*x^4+5*x^3+5*x^2+5*x+2)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063218 10.5506 [-2*(x^3+5*x^2+2*x+4)*(x+1)^2/(x-1)/(x^4+x^3+6*x^2+5*x+3)/(x^2+x+1) lgdogf] A063218 5.39385 [-(f(x)+13)*(f(x)*x^4-f(x)*x^3-x^4-x^3-f(x)*x-6*x^2+f(x)-5*x-3) ogf] A063218 9.24660 [(x^4+x^3+6*x^2+5*x+3)/(x^2+x+1)/(x-1)^2 ogf] A063219 5.76189 [(8*f(x)+869)*(f(x)*x^4-f(x)*x^3+x^4-6*x^3-f(x)*x-8*x^2+f(x)-9*x-4) ogf] A063219 9.57415 [(13+29*x+5*x^5+51*x^2+37*x^3+21*x^4)/(x-1)/(x^2+x+1)/(x^4-6*x^3-8*x^2-9*x-4) lgdogf] A063219 9.65304 [-(x^4-6*x^3-8*x^2-9*x-4)/(x^2+x+1)/(x-1)^2 ogf] A063220 5.54203 [-(4*f(x)+65)*(f(x)*x^4-f(x)*x^3-x^4-x^3-f(x)*x-8*x^2+f(x)-7*x-3) ogf] A063220 9.50062 [(x^4+x^3+8*x^2+7*x+3)/(x^2+x+1)/(x-1)^2 ogf] A063220 9.80684 [-2*(5+13*x+x^5+17*x^3+9*x^4+15*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3+8*x^2+7*x+3) lgdogf] A063221 10.4888 [(x^3+x^2+7*x+3)/(x+1)/(x-1)^2 ogf] A063221 14.7516 [-2*(5+9*x+x^3+9*x^2)/(x-1)/(1+x)/(x^3+x^2+7*x+3) lgdogf] A063221 5.36092 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=3,a(1)=10,a(2)=14,a(3)=22} ogf] A063221 6.03104 [(4*f(x)+15)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-x^2+f(x)-7*x-3) ogf] A063222 10.0677 [-(7+19*x+x^5+13*x^4+25*x^3+19*x^2)/(x-1)/(x^2+x+1)/(x^4+6*x^2+5*x+2) lgdogf] A063222 10.1486 [(x^4+6*x^2+5*x+2)/(x^2+x+1)/(x-1)^2 ogf] A063222 5.64719 [-(f(x)+12)*(f(x)*x^4-f(x)*x^3-x^4-f(x)*x-6*x^2+f(x)-5*x-2) ogf] A063223 6.93830 [2*(7+31*x+17*x^6+3*x^7+68*x^2+94*x^3+81*x^4+47*x^5)/(x-1)/(x+1)/(x^5-6*x^4-15*x^3-19*x^2-14*x-5)/(x^2+x+1) lgdogf] A063223 8.16422 [-(x^5-6*x^4-15*x^3-19*x^2-14*x-5)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063224 12.9188 [-(2+2*x+3*x^3+5*x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A063224 22.5726 [x^2-x+2 ogf_with_Euler_transform] A063224 6.67345 [-f(x)*x^4+f(x)*x^3+f(x)*x+2*x^2-f(x)+2*x ogf] A063224 9.95163 [2*x*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A063225 10.2620 [(x^3+x^2+5*x+3)/(x+1)/(x-1)^2 ogf] A063225 14.4256 [-2*(4+8*x+x^3+7*x^2)/(x-1)/(x+1)/(x^3+x^2+5*x+3) lgdogf] A063225 5.28415 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=3,a(1)=8,a(2)=12,a(3)=18} ogf] A063225 5.75672 [-(f(x)-3)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-x^2+f(x)-5*x-3) ogf] A063226 11.6078 [(3*x^2+4*x+3)/(x+1)/(x-1)^2 ogf] A063226 14.4256 [-(7+19*x+3*x^3+11*x^2)/(x-1)/(x+1)/(3+3*x^2+4*x) lgdogf] A063226 6.26616 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=7,a(2)=13} ogf] A063226 6.37906 [(f(x)-8)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-4*x-3) ogf] A063227 6.62648 [4*(1+5*x+3*x^6+7*x^5+x^7+13*x^4+18*x^3+12*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^5-4*x^4-5*x^3-5*x^2-4*x-3) lgdogf] A063227 7.47239 [-(x^5-4*x^4-5*x^3-5*x^2-4*x-3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063228 10.7860 [-(x^3-7*x^2-11*x-5)/(x+1)/(x-1)^2 ogf] A063228 13.4431 [2*(8+20*x+13*x^2+3*x^3)/(-1+x)/(x+1)/(x^3-7*x^2-11*x-5) lgdogf] A063228 5.59274 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=5,a(1)=16,a(2)=28,a(3)=38} ogf] A063228 6.23984 [(7*f(x)-19)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-7*x^2+f(x)-11*x-5) ogf] A063229 6.89261 [-2*(6+24*x+x^7+13*x^6+38*x^5+51*x^2+67*x^3+64*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^5+2*x^4+11*x^3+15*x^2+12*x+3) lgdogf] A063229 8.03665 [(x^5+2*x^4+11*x^3+15*x^2+12*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063230 6.72156 [(17+75*x+164*x^2+226*x^3+196*x^4+114*x^5+41*x^6+7*x^7)/(-1+x)/(x+1)/(x^5-7*x^4-18*x^3-23*x^2-17*x-6)/(x^2+x+1) lgdogf] A063230 8.20674 [-(x^5-7*x^4-18*x^3-23*x^2-17*x-6)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063231 6.84604 [-(10+40*x+23*x^6+62*x^5+121*x^3+3*x^7+108*x^4+89*x^2)/(x-1)/(1+x)/(x^2+x+1)/(3*x^4+10*x^3+12*x^2+10*x+3) lgdogf] A063231 8.66233 [(3*x^4+10*x^3+12*x^2+10*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063232 11.8530 [(x^3+3*x^2+11*x+5)/(x+1)/(x-1)^2 ogf] A063232 15.9559 [-4*(4+8*x+7*x^2+x^3)/(x-1)/(x+1)/(x^3+3*x^2+11*x+5) lgdogf] A063232 6.14599 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=5,a(1)=16,a(2)=24,a(3)=36} ogf] A063232 6.6912 [-(f(x)-5)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-3*x^2+f(x)-11*x-5) ogf] A063233 10.8419 [-(x^3-8*x^2-13*x-6)/(x+1)/(x-1)^2 ogf] A063233 14.0242 [(19+47*x+31*x^2+7*x^3)/(x-1)/(x+1)/(x^3-8*x^2-13*x-6) lgdogf] A063233 5.62172 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=6,a(1)=19,a(2)=33,a(3)=45} ogf] A063233 6.27217 [(5*f(x)-12)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-8*x^2+f(x)-13*x-6) ogf] A063234 5.54203 [-(4*f(x)+65)*(f(x)*x^4-f(x)*x^3-x^4-x^3-f(x)*x-8*x^2+f(x)-7*x-3) ogf] A063234 9.50062 [(x^4+x^3+8*x^2+7*x+3)/(x^2+x+1)/(x-1)^2 ogf] A063234 9.80684 [-2*(5+13*x+x^5+17*x^3+9*x^4+15*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3+8*x^2+7*x+3) lgdogf] A063235 6.85501 [2*(10+44*x+4*x^7+96*x^2+132*x^3+115*x^4+67*x^5+24*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^5-8*x^4-21*x^3-27*x^2-20*x-7) lgdogf] A063235 8.29178 [-(x^5-8*x^4-21*x^3-27*x^2-20*x-7)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063236 10.4137 [-4*(x^3+5*x^2+2*x+4)*(x+1)^2/(-1+x)/(x^2+x+1)/(x^4+3*x^3+12*x^2+11*x+5) lgdogf] A063236 5.80785 [(f(x)+27)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-12*x^2+f(x)-11*x-5) ogf] A063236 9.55722 [(x^4+3*x^3+12*x^2+11*x+5)/(x^2+x+1)/(x-1)^2 ogf] A063237 10.6588 [(x^3+2*x^2+7*x+4)/(x+1)/(x-1)^2 ogf] A063237 13.5814 [-(11+23*x+3*x^3+19*x^2)/(x-1)/(1+x)/(x^3+2*x^2+7*x+4) lgdogf] A063237 5.44785 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=4,a(1)=11,a(2)=17,a(3)=25} ogf] A063237 6.18034 [(5*f(x)-7)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-2*x^2+f(x)-7*x-4) ogf] A063238 5.74766 [(4*f(x)+155)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-10*x^2+f(x)-9*x-5) ogf] A063238 9.26010 [-2*(7+17*x+24*x^2+22*x^3+12*x^4+2*x^5)/(x-1)/(x^2+x+1)/(x^4+3*x^3+10*x^2+9*x+5) lgdogf] A063238 9.57944 [(x^4+3*x^3+10*x^2+9*x+5)/(x^2+x+1)/(x-1)^2 ogf] A063239 14.4256 [-(7+19*x+3*x^3+11*x^2)/(x-1)/(x+1)/(3+3*x^2+4*x) lgdogf] A063240 5.77912 [(4*f(x)+1423)*(f(x)*x^4-f(x)*x^3+x^4-9*x^3-f(x)*x-14*x^2+f(x)-15*x-7) ogf] A063240 9.33995 [2*(11+25*x+42*x^2+32*x^3+18*x^4+4*x^5)/(x-1)/(x^2+x+1)/(x^4-9*x^3-14*x^2-15*x-7) lgdogf] A063240 9.65625 [-(x^4-9*x^3-14*x^2-15*x-7)/(x^2+x+1)/(x-1)^2 ogf] A063241 4.03056 [{(2*n+7)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-5)*a(n+4),a(0)=3,a(1)=5,a(2)=7,a(3)=13} ogf] A063241 5.36326 [-(f(x)+14)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-2*x-3) ogf] A063241 9.54993 [-(5+9*x+3*x^5+7*x^4+11*x^3+25*x^2)/(x-1)/(x+1)/(3*x^2-x+3)/(x^2+x+1) lgdogf] A063241 9.63830 [(x+1)*(3*x^2-x+3)/(x^2+x+1)/(x-1)^2 ogf] A063242 7.10894 [-(3+11*x+7*x^6+17*x^5+x^7+31*x^4+36*x^3+26*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+3*x^3+3*x^2+3*x+1) lgdogf] A063242 8.35530 [2*(x^4+3*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063243 10.7301 [(x^3+3*x^2+11*x+5)/(x+1)/(x-1)^2 ogf] A063243 14.4208 [-4*(4+8*x+7*x^2+x^3)/(x-1)/(x+1)/(x^3+3*x^2+11*x+5) lgdogf] A063243 5.56376 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=5,a(1)=16,a(2)=24,a(3)=36} ogf] A063243 6.05733 [-(f(x)-5)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-3*x^2+f(x)-11*x-5) ogf] A063244 6.89261 [-2*(6+26*x+x^7+13*x^6+41*x^5+53*x^2+69*x^3+67*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^5+2*x^4+11*x^3+17*x^2+12*x+3) lgdogf] A063244 8.03665 [(x^5+2*x^4+11*x^3+17*x^2+12*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063245 6.92127 [-(10+46*x+23*x^6+71*x^5+127*x^3+3*x^7+117*x^4+95*x^2)/(x-1)/(1+x)/(3*x^4+10*x^3+15*x^2+10*x+3)/(x^2+x+1) lgdogf] A063245 8.75548 [(3*x^4+10*x^3+15*x^2+10*x+3)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063246 7.42485 [-(6+28*x+2*x^7+14*x^6+43*x^5+58*x^2+78*x^3+71*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2+2*x+2)/(2*x^2+2*x+1) lgdogf] A063246 8.84862 [2*(x^2+2*x+2)*(2*x^2+2*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063247 6.86684 [-(5+21*x+11*x^6+33*x^5+x^7+55*x^4+58*x^3+44*x^2)/(x-1)/(x+1)/(1+x^2+x)/(x^4+5*x^3+7*x^2+5*x+1) lgdogf] A063247 8.16211 [(x^4+5*x^3+7*x^2+5*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A063249 11.8733 [-6*(11+79*x+65*x^2+5*x^3)/(x-1)/(15*x^3+115*x^2+61*x+1) lgdogf] A063249 3.41873 [{(-334*n^2-1439*n-1542)*a(n+1)+(396*n^2+550*n+1012)*a(n+2)+(-62*n^2-199*n-150)*a(n+3),a(0)=0,a(1)=1,a(2)=66} ogf] A063249 6.98141 [-x*(15*x^3+115*x^2+61*x+1)/(x-1)^5 ogf] A063258 16.4822 [-(-14+16*x+2*x^3-9*x^2)/(x-1)/(x-2)/(x^2-2*x+2) lgdogf] A063258 5.15961 [{(n+7)*a(n+1)+(-2*n-11)*a(n+2)+(n+4)*a(n+3),a(0)=4,a(1)=14,a(2)=34} ogf] A063258 9.07379 [(x-2)*(x^2-2*x+2)/(x-1)^5 ogf] A063262 4.59257 [(x^5-4*x^4+5*x^3-5*x+4)/(x-1)^8 ogf] A063262 8.28954 [-(27-35*x+3*x^5-11*x^4+9*x^3+15*x^2)/(x-1)/(x^5-4*x^4+5*x^3-5*x+4) lgdogf] A063263 4.31542 [-(2*x^5-9*x^4+15*x^3-10*x^2+3)/(x-1)^9 ogf] A063263 8.03643 [-(27-20*x+54*x^3-25*x^2-35*x^4+8*x^5)/(x-1)/(2*x^5-9*x^4+15*x^3-10*x^2+3) lgdogf] A063264 3.68842 [(3*x^5-14*x^4+25*x^3-20*x^2+5*x+2)/(x-1)^10 ogf] A063264 7.25855 [-(25+5*x+15*x^5-69*x^4+119*x^3-85*x^2)/(x-1)/(3*x^5-14*x^4+25*x^3-20*x^2+5*x+2) lgdogf] A063267 3.44131 [{(n^2+14*n+40)*a(n+1)+(-2*n^2-21*n-45)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=6,a(1)=33,a(2)=116} ogf] A063267 4.70916 [-(x-2)*(x^2-x+1)*(x^2-3*x+3)/(x-1)^8 ogf] A063267 8.51179 [-(-33+65*x+3*x^5+51*x^3-19*x^4-75*x^2)/(x-1)/(x-2)/(x^2-x+1)/(x^2-3*x+3) lgdogf] A063270 12.6940 [-2*(41*x-1)/(81*x-1)/(x-1) ogf] A063270 13.6018 [-(41-162*x+3321*x^2)/(x-1)/(81*x-1)/(41*x-1) lgdogf] A063270 6.21746 [-(1600*f(x)-1519)*(81*f(x)*x^2-82*f(x)*x+f(x)+82*x-2) ogf] A063270 7.16836 [{a(n+2)-82*a(n+1)+81*a(n),a(0)=2,a(1)=82} ogf] A063276 6.41229 [x^4*(14*x^3+5*x^2-4*x+5-10*x^6+2*x^7+3*x^8-2*x^9+x^10-20*x^4+22*x^5)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^9-x^8-x^7-2*x^4+x^3-x+1) lgdogf] A063276 6.86842 [-(x^9-x^8-x^7-2*x^4+x^3-x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063277 9.45021 [(2*x^8+3*x^6+x^5+2*x^4-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063278 6.24134 [-(x^11-x^10-3*x^9-4*x^8-4*x^7-5*x^6-3*x^5-3*x^4-x^3+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063279 7.11224 [(x^9-2*x^8+2*x^6-2*x^5+3*x^4+x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063280 5.73550 [-(x^11-2*x^10-5*x^9-7*x^8-8*x^7-9*x^6-7*x^5-6*x^4-3*x^3-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063281 8.03729 [-x*(2+13*x^5+2*x^7+6*x^6+9*x+10*x^2+16*x^3+14*x^4)/(x-1)/(x+1)/(1+x^2)/(2*x^5+3*x^4+3*x^3+2*x^2-1) lgdogf] A063281 9.36511 [(2*x^5+3*x^4+3*x^3+2*x^2-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063282 6.12564 [(x^10+5*x^9+6*x^8+10*x^7+11*x^6+9*x^5+9*x^4+5*x^3+2*x^2-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063283 5.93603 [(x^11-x^10-x^9+2*x^8+2*x^7+5*x^6+5*x^5+5*x^4+3*x^3+2*x^2-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063284 5.26437 [-(x^11-4*x^10-10*x^9-15*x^8-19*x^7-21*x^6-19*x^5-16*x^4-10*x^3-5*x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063285 5.86487 [-(x^8-5*x^7+x^6-5*x^5-2*x^4-x^3-3*x^2-x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063286 5.29372 [-(x^11-5*x^10-13*x^9-20*x^8-26*x^7-29*x^6-27*x^5-23*x^4-15*x^3-8*x^2-2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063287 6.06563 [(x^11-x^10+4*x^8+5*x^7+9*x^6+9*x^5+9*x^4+6*x^3+4*x^2+x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063288 5.76140 [(x^9+7*x^7+5*x^6+9*x^5+9*x^4+5*x^3+7*x^2+2*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063289 11.1576 [(x^3+6*x^2+3*x-1)/(x+1)/(x-1)^2 ogf] A063289 14.5751 [-(2+12*x+15*x^2+7*x^3)/(x-1)/(x+1)/(x^3+6*x^2+3*x-1) lgdogf] A063289 5.78852 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=-1,a(1)=2,a(2)=7,a(3)=11} ogf] A063289 6.41562 [(-2+19*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-6*x^2+f(x)-3*x+1) ogf] A063290 5.20702 [-(x^11-7*x^10-20*x^9-32*x^8-43*x^7-49*x^6-47*x^5-41*x^4-28*x^3-16*x^2-5*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063291 6.07948 [-(x^10-2*x^9-6*x^8-7*x^7-9*x^6-11*x^5-9*x^4-7*x^3-6*x^2-2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063292 5.10149 [-(x^11-8*x^10-24*x^9-39*x^8-53*x^7-61*x^6-59*x^5-52*x^4-36*x^3-21*x^2-7*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063293 5.59840 [(x^10+11*x^9+14*x^8+25*x^7+25*x^6+26*x^5+23*x^4+17*x^3+10*x^2+3*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063294 5.21569 [(x^9+2*x^8+13*x^7+11*x^6+17*x^5+19*x^4+11*x^3+13*x^2+6*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063295 5.21269 [(x^11-x^10+3*x^9+10*x^8+14*x^7+21*x^6+21*x^5+21*x^4+15*x^3+10*x^2+4*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063296 5.05937 [-(x^11-10*x^10-33*x^9-55*x^8-76*x^7-89*x^6-87*x^5-78*x^4-55*x^3-33*x^2-12*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063297 6.47186 [-(5+24*x+32*x^7+9*x^8+46*x^2+80*x^3+94*x^4+88*x^5+54*x^6)/(x-1)/(x+1)/(1+x^2)/(x^6+9*x^5+15*x^4+12*x^3+13*x^2+5*x-1) lgdogf] A063297 7.62589 [(x^6+9*x^5+15*x^4+12*x^3+13*x^2+5*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063298 5.33673 [(9*x^10+33*x^9+56*x^8+80*x^7+93*x^6+93*x^5+83*x^4+59*x^3+36*x^2+12*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063299 5.21456 [(x^11-x^10+5*x^9+14*x^8+20*x^7+29*x^6+29*x^5+29*x^4+21*x^3+14*x^2+6*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063300 5.53272 [-(1562*f(x)+9103)*(f(x)*x^4-f(x)*x^3-7*x^4-22*x^3-f(x)*x-22*x^2+f(x)-14*x+1) ogf] A063300 9.08148 [-(13+57*x+29*x^5+73*x^4+114*x^3+98*x^2)/(x-1)/(x^2+x+1)/(7*x^4+22*x^3+22*x^2+14*x-1) lgdogf] A063300 9.68225 [(7*x^4+22*x^3+22*x^2+14*x-1)/(x^2+x+1)/(x-1)^2 ogf] A063301 5.43180 [(3*x^10+20*x^9+30*x^8+48*x^7+53*x^6+54*x^5+49*x^4+36*x^3+22*x^2+8*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063302 4.77068 [-(x^11-13*x^10-49*x^9-84*x^8-118*x^7-141*x^6-139*x^5-127*x^4-91*x^3-56*x^2-22*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063303 5.74803 [-(x^9-9*x^7-3*x^6-5*x^5-13*x^4-3*x^3-5*x^2-8*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063304 4.86270 [-(x^11-14*x^10-55*x^9-95*x^8-134*x^7-161*x^6-159*x^5-146*x^4-105*x^3-65*x^2-26*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063305 14.1992 [(4*x^2+15*x-1)/(x-1)^2 ogf] A063305 24.3555 [-(13+23*x)/(x-1)/(4*x^2+15*x-1) lgdogf] A063305 7.37265 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=-1,a(1)=13,a(2)=31} ogf] A063305 7.90471 [(36*f(x)+205)*(f(x)*x^2-2*f(x)*x-4*x^2+f(x)-15*x+1) ogf] A063306 4.99276 [(x^9+6*x^8+31*x^7+29*x^6+39*x^5+51*x^4+29*x^3+31*x^2+20*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063307 5.06725 [(x^11-x^10+10*x^9+24*x^8+35*x^7+49*x^6+49*x^5+49*x^4+36*x^3+24*x^2+11*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063308 4.73634 [(x^11+13*x^10+56*x^9+98*x^8+143*x^7+169*x^6+171*x^5+155*x^4+112*x^3+70*x^2+25*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063309 5.44889 [(4*x^10+21*x^9+38*x^8+53*x^7+69*x^6+65*x^5+64*x^4+45*x^3+28*x^2+13*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063310 4.72561 [-(x^11-17*x^10-75*x^9-132*x^8-188*x^7-229*x^6-227*x^5-211*x^4-153*x^3-96*x^2-40*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063311 5.11976 [(x^11-x^10+13*x^9+30*x^8+44*x^7+61*x^6+61*x^5+61*x^4+45*x^3+30*x^2+14*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063312 4.96036 [(x^9+8*x^8+43*x^7+41*x^6+53*x^5+73*x^4+41*x^3+43*x^2+30*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063313 5.80680 [-(19+88*x+112*x^7+206*x^6+31*x^8+182*x^2+288*x^3+346*x^4+312*x^5)/(x-1)/(x+1)/(x^2+1)/(5*x^6+31*x^5+51*x^4+48*x^3+45*x^2+19*x-1) lgdogf] A063313 7.40082 [(5*x^6+31*x^5+51*x^4+48*x^3+45*x^2+19*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063314 4.64233 [-(x^11-19*x^10-90*x^9-160*x^8-229*x^7-281*x^6-279*x^5-261*x^4-190*x^3-120*x^2-51*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063315 5.47116 [-(x^9-15*x^7-9*x^6-11*x^5-25*x^4-9*x^3-11*x^2-14*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063316 4.66613 [-(x^11-20*x^10-98*x^9-175*x^8-251*x^7-309*x^6-307*x^5-288*x^4-210*x^3-133*x^2-57*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063317 5.10198 [(7*x^10+45*x^9+76*x^8+115*x^7+137*x^6+138*x^5+129*x^4+95*x^3+60*x^2+25*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063318 4.96376 [(13*x^10+65*x^9+120*x^8+169*x^7+209*x^6+210*x^5+195*x^4+143*x^3+92*x^2+39*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063319 4.96241 [(x^11-x^10+20*x^9+44*x^8+65*x^7+89*x^6+89*x^5+89*x^4+66*x^3+44*x^2+21*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063320 4.68392 [-(x^11-22*x^10-115*x^9-207*x^8-298*x^7-369*x^6-367*x^5-346*x^4-253*x^3-161*x^2-70*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063321 10.5744 [(4*x^3+27*x^2+24*x-1)/(x+1)/(x-1)^2 ogf] A063321 12.7453 [-(23+75*x+87*x^2+31*x^3)/(x-1)/(x+1)/(4*x^3+27*x^2+24*x-1) lgdogf] A063321 5.56133 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=-1,a(1)=23,a(2)=49,a(3)=77} ogf] A063321 5.77522 [-(542*f(x)+3657)*(f(x)*x^3-f(x)*x^2-4*x^3-f(x)*x-27*x^2+f(x)-24*x+1) ogf] A063322 4.99192 [(23*x^10+118*x^9+212*x^8+307*x^7+377*x^6+377*x^5+353*x^4+258*x^3+164*x^2+69*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063323 5.33673 [-(x^10-24*x^9-46*x^8-69*x^7-93*x^6-91*x^5-93*x^4-69*x^3-46*x^2-24*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063324 4.85897 [(x^9+12*x^8+73*x^7+71*x^6+87*x^5+129*x^4+71*x^3+73*x^2+56*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063325 5.13199 [(9*x^10+61*x^9+106*x^8+159*x^7+193*x^6+194*x^5+183*x^4+135*x^3+86*x^2+37*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063326 4.60671 [-(x^11-25*x^10-143*x^9-260*x^8-376*x^7-469*x^6-467*x^5-443*x^4-325*x^3-208*x^2-92*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063327 5.45975 [-(343*f(x)+2649)*(f(x)*x^4-f(x)*x^3+x^4-23*x^3-f(x)*x-20*x^2+f(x)-23*x+1) ogf] A063327 9.22505 [2*(x+1)*(11*x^4+20*x^3+34*x^2+20*x+11)/(x-1)/(x^2+x+1)/(x^4-23*x^3-20*x^2-23*x+1) lgdogf] A063327 9.48631 [-(x^4-23*x^3-20*x^2-23*x+1)/(x^2+x+1)/(x-1)^2 ogf] A063328 4.58320 [(x^11+25*x^10+134*x^9+242*x^8+353*x^7+433*x^6+435*x^5+407*x^4+298*x^3+190*x^2+79*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063329 5.44234 [-2*(21+94*x+114*x^7+31*x^8+195*x^2+302*x^3+362*x^4+322*x^5+215*x^6)/(x-1)/(x+1)/(x^2+1)/(9*x^6+62*x^5+105*x^4+102*x^3+95*x^2+42*x-1) lgdogf] A063329 7.01609 [(9*x^6+62*x^5+105*x^4+102*x^3+95*x^2+42*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063330 4.90105 [(x^9+14*x^8+91*x^7+89*x^6+107*x^5+163*x^4+89*x^3+91*x^2+72*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063331 4.82012 [(x^11-x^10+33*x^9+70*x^8+104*x^7+141*x^6+141*x^5+141*x^4+105*x^3+70*x^2+34*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063332 4.62445 [-(x^11-28*x^10-174*x^9-319*x^8-463*x^7-581*x^6-579*x^5-552*x^4-406*x^3-261*x^2-117*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063333 5.38371 [(7*x^8+35*x^7+44*x^6+37*x^5+78*x^4+37*x^3+36*x^2+35*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063334 4.64780 [-(x^11-29*x^10-185*x^9-340*x^8-494*x^7-621*x^6-619*x^5-591*x^4-435*x^3-280*x^2-126*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063335 4.89428 [(x^11-x^10+38*x^9+80*x^8+119*x^7+161*x^6+161*x^5+161*x^4+120*x^3+80*x^2+39*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063336 4.86004 [(22*x^10+131*x^9+243*x^8+349*x^7+437*x^6+438*x^5+414*x^4+305*x^3+197*x^2+87*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063337 13.2517 [(10*x^2+63*x-1)/(x-1)^2 ogf] A063337 22.4260 [-(61+83*x)/(x-1)/(10*x^2+63*x-1) lgdogf] A063337 6.94139 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=-1,a(1)=61,a(2)=133} ogf] A063337 7.28846 [(144*f(x)+3865)*(f(x)*x^2-2*f(x)*x-10*x^2+f(x)-63*x+1) ogf] A063338 4.64780 [(x^11+31*x^10+184*x^9+336*x^8+491*x^7+609*x^6+611*x^5+577*x^4+424*x^3+272*x^2+117*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063339 5.27806 [-(x^9-33*x^7-27*x^6-29*x^5-61*x^4-27*x^3-29*x^2-32*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063340 4.52410 [-(x^11-32*x^10-220*x^9-407*x^8-593*x^7-749*x^6-747*x^5-716*x^4-528*x^3-341*x^2-155*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063341 4.94175 [(13*x^10+100*x^9+180*x^8+268*x^7+333*x^6+334*x^5+319*x^4+236*x^3+152*x^2+68*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063342 4.71338 [(x^9+18*x^8+133*x^7+131*x^6+153*x^5+243*x^4+131*x^3+133*x^2+110*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063343 4.79167 [-(x^11+x^10-46*x^9-84*x^8-127*x^7-169*x^6-165*x^5-169*x^4-126*x^3-84*x^2-45*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063344 4.54730 [-(x^11-34*x^10-245*x^9-455*x^8-664*x^7-841*x^6-839*x^5-806*x^4-595*x^3-385*x^2-176*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063345 5.58481 [-(55+238*x+898*x^4+750*x^3+73*x^8+274*x^7+533*x^6+786*x^5+497*x^2)/(x-1)/(x+1)/(8*x^6+73*x^5+129*x^4+129*x^3+120*x^2+55*x-1)/(x^2+1) lgdogf] A063345 7.12837 [(8*x^6+73*x^5+129*x^4+129*x^3+120*x^2+55*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063346 4.54730 [-(x^11-35*x^10-258*x^9-480*x^8-701*x^7-889*x^6-887*x^5-853*x^4-630*x^3-408*x^2-187*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063347 4.74972 [(x^11-x^10+55*x^9+114*x^8+170*x^7+229*x^6+229*x^5+229*x^4+171*x^3+114*x^2+56*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063348 4.96816 [(20*x^8+139*x^7+139*x^6+156*x^5+259*x^4+137*x^3+137*x^2+120*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063349 4.86004 [(15*x^10+123*x^9+224*x^8+333*x^7+417*x^6+418*x^5+401*x^4+297*x^3+192*x^2+87*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063350 4.54730 [(x^11+43*x^10+270*x^9+496*x^8+725*x^7+905*x^6+907*x^5+861*x^4+634*x^3+408*x^2+179*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063351 5.24381 [-(x^9-45*x^7-39*x^6-41*x^5-85*x^4-39*x^3-41*x^2-44*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063352 4.50863 [-(x^11-38*x^10-299*x^9-559*x^8-818*x^7-1041*x^6-1039*x^5-1002*x^4-741*x^3-481*x^2-222*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063353 10.3305 [(13*x^3+99*x^2+87*x-1)/(x+1)/(x-1)^2 ogf] A063353 11.6283 [-2*(43+141*x+56*x^3+156*x^2)/(x-1)/(x+1)/(13*x^3+99*x^2+87*x-1) lgdogf] A063353 5.42917 [-(296285*f(x)+6051901)*(f(x)*x^3-f(x)*x^2-13*x^3-f(x)*x-99*x^2+f(x)-87*x+1) ogf] A063353 5.42917 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=-1,a(1)=86,a(2)=184,a(3)=284} ogf] A063354 12.8452 [(27*x^2+166*x-1)/(x-1)^2 ogf] A063354 20.2361 [-4*(41+55*x)/(x-1)/(27*x^2+166*x-1) lgdogf] A063354 6.78615 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=-1,a(1)=164,a(2)=356} ogf] A063354 7.19332 [(24*f(x)+1705)*(f(x)*x^2-2*f(x)*x-27*x^2+f(x)-166*x+1) ogf] A063355 4.67209 [(x^11-x^10+68*x^9+140*x^8+209*x^7+281*x^6+281*x^5+281*x^4+210*x^3+140*x^2+69*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063356 4.40984 [-(x^11-40*x^10-328*x^9-615*x^8-901*x^7-1149*x^6-1147*x^5-1108*x^4-820*x^3-533*x^2-247*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063357 5.18536 [(11*x^8+77*x^7+86*x^6+83*x^5+158*x^4+79*x^3+78*x^2+73*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063358 4.50863 [(x^11+43*x^10+306*x^9+568*x^8+833*x^7+1049*x^6+1051*x^5+1005*x^4+742*x^3+480*x^2+215*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063359 4.69604 [(x^11-x^10+75*x^9+154*x^8+230*x^7+309*x^6+309*x^5+309*x^4+231*x^3+154*x^2+76*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063360 4.63474 [(x^9+24*x^8+211*x^7+209*x^6+237*x^5+393*x^4+209*x^3+211*x^2+182*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063361 6.80821 [(17*x^6+151*x^5+267*x^4+264*x^3+249*x^2+115*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063362 4.32940 [-(x^11-43*x^10-374*x^9-704*x^8-1033*x^7-1321*x^6-1319*x^5-1277*x^4-946*x^3-616*x^2-287*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063363 4.98935 [-(x^10-53*x^9-102*x^8-157*x^7-213*x^6-206*x^5-213*x^4-157*x^3-102*x^2-53*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063364 4.47269 [(x^11+53*x^10+372*x^9+690*x^8+1011*x^7+1273*x^6+1275*x^5+1219*x^4+900*x^3+582*x^2+261*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063365 4.92667 [(19*x^10+176*x^9+326*x^8+484*x^7+613*x^6+614*x^5+593*x^4+440*x^3+286*x^2+132*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063366 4.63474 [(x^9+26*x^8+241*x^7+239*x^6+269*x^5+451*x^4+239*x^3+241*x^2+210*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A063367 4.76792 [(x^11-x^10+90*x^9+184*x^8+275*x^7+369*x^6+369*x^5+369*x^4+276*x^3+184*x^2+91*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063368 4.32940 [(x^11+49*x^10+378*x^9+706*x^8+1037*x^7+1313*x^6+1315*x^5+1263*x^4+934*x^3+606*x^2+275*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063369 13.1663 [(9*x^2+100*x-1)/(x-1)^2 ogf] A063369 20.9707 [-2*(49+59*x)/(x-1)/(9*x^2+100*x-1) lgdogf] A063369 6.89663 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=-1,a(1)=98,a(2)=206} ogf] A063369 7.31461 [(54*f(x)+2455)*(f(x)*x^2-2*f(x)*x-9*x^2+f(x)-100*x+1) ogf] A063370 4.43609 [-(x^11-47*x^10-440*x^9-832*x^8-1223*x^7-1569*x^6-1567*x^5-1521*x^4-1128*x^3-736*x^2-345*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063371 5.05984 [-(x^10-95*x^9-188*x^8-282*x^7-377*x^6-375*x^5-377*x^4-282*x^3-188*x^2-95*x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063372 4.66924 [(40*x^10+320*x^9+603*x^8+880*x^7+1121*x^6+1122*x^5+1080*x^4+800*x^3+521*x^2+240*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063373 4.92667 [(20*x^10+181*x^9+344*x^8+503*x^7+647*x^6+645*x^5+626*x^4+463*x^3+302*x^2+141*x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A063374 15.4862 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A063376 12.6933 [(2*x^2-4*x+1)/(4*x-1)/(2*x-1) ogf] A063376 13.7473 [2*(1-6*x+10*x^2)/(-1+2*x)/(-1+4*x)/(2*x^2-4*x+1) lgdogf] A063376 6.59555 [{a(n+3)-6*a(n+2)+8*a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A063376 9.47528 [8*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+4*x-1 ogf] A063395 3.39401 [{9*a(n)*n+(-19*n-14)*a(n+1)+(11*n+16)*a(n+2)+(-n-2)*a(n+3),a(0)=1,a(1)=3,a(2)=19} ogf] A063395 4.19881 [9*x^3*f(x)^2-19*f(x)^2*x^2-36*f(x)*x^3+11*f(x)^2*x+58*f(x)*x^2+20*x^3-f(x)^2-24*f(x)*x-24*x^2+2*f(x)+13*x-1 ogf] A063396 4.79192 [-(9*f(x)-532)*(8*f(x)*x^4-20*f(x)*x^3+20*x^4+18*f(x)*x^2-52*x^3-7*f(x)*x+40*x^2+f(x)-8*x-1) ogf] A063396 8.30601 [-(20*x^4-52*x^3+40*x^2-8*x-1)/(x-1)/(2*x-1)^3 ogf] A063396 8.64045 [(-15+56*x-68*x^2+24*x^3+4*x^4)/(x-1)/(-1+2*x)/(20*x^4-52*x^3+40*x^2-8*x-1) lgdogf] A063397 6.75287 [-(76*x^5-244*x^4+280*x^3-136*x^2+22*x+1)/(x-1)/(2*x-1)^4 ogf] A063397 6.89747 [(31-150*x+32*x^5-8*x^4-160*x^3+256*x^2)/(x-1)/(-1+2*x)/(76*x^5-244*x^4+280*x^3-136*x^2+22*x+1) lgdogf] A063398 5.45355 [-(260*x^6-996*x^5+1488*x^4-1088*x^3+388*x^2-52*x-1)/(x-1)/(2*x-1)^5 ogf] A063417 4.02579 [(x^6-5*x^5+9*x^4-5*x^3-5*x^2+9*x-5)/(x-1)^9 ogf] A063417 7.06819 [-(x-2)*(3*x^5-8*x^4+4*x^3+14*x^2-22*x+18)/(x-1)/(x^6-5*x^5+9*x^4-5*x^3-5*x^2+9*x-5) lgdogf] A063418 3.29552 [-(2*x^6-11*x^5+24*x^4-25*x^3+10*x^2+3*x-4)/(x-1)^10 ogf] A063418 5.87795 [-(-37+47*x+8*x^6-43*x^5+89*x^4-79*x^3+5*x^2)/(x-1)/(2*x^6-11*x^5+24*x^4-25*x^3+10*x^2+3*x-4) lgdogf] A063434 5.32423 [-(10577*x^8-3069*x^7-990*x^6-990*x^5-990*x^4-990*x^3-990*x^2-990*x-11567)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A063436 12.6567 [-3*x*(3*x+5)/(x-1)^3 ogf] A063436 32.8646 [-6*(x+3)/(3*x+5)/(x-1) lgdogf] A063436 6.49635 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=54} ogf] A063436 7.33804 [(3904*f(x)-35217)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+15*x) ogf] A063438 12.2382 [-(4*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A063459 7.78259 [x*(x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A063460 7.49953 [(2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A063481 12.8567 [-2*(6*x-1)/(8*x-1)/(4*x-1) ogf] A063481 14.4080 [-2*(3-32*x+96*x^2)/(6*x-1)/(8*x-1)/(4*x-1) lgdogf] A063481 5.87512 [1/2*x*(1+3*x^2+x^4)*(5*x^4+5*x^2+1)/(1+3*x+x^10+9*x^2+24*x^3+35*x^6+28*x^4+63*x^5+15*x^8+15*x^9+60*x^7) revogf] A063481 6.56512 [-(14*f(x)+53)*(32*f(x)*x^2-12*f(x)*x+f(x)+12*x-2) ogf] A063481 7.26024 [{a(n+2)-12*a(n+1)+32*a(n),a(0)=2,a(1)=12} ogf] A063488 17.3349 [-(6+10*x+7*x^2+x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A063488 28.8097 [-x^2-x+6 ogf_with_Euler_transform] A063488 5.00266 [(16992*f(x)+20911)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A063488 9.42058 [(x^2+x+1)*(x+1)/(x-1)^4 ogf] A063489 16.1211 [-(8+20*x+x^3+11*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A063489 4.04402 [{(n^2-n-6)*a(n+1)+(-2*n^2-10*n-60)*a(n+2)+(n^2+11*n+24)*a(n+3),a(0)=1,a(1)=8,a(2)=30} ogf] A063489 4.95808 [(49760*f(x)+137841)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-4*x^2+f(x)-4*x-1) ogf] A063489 9.40104 [(x+1)*(x^2+3*x+1)/(x-1)^4 ogf] A063490 15.6473 [-(10+30*x+x^3+15*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A063490 4.72745 [{(-n^2-n)*a(n)+(2*n^2+6*n+24)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=10} ogf] A063490 4.95567 [(19936*f(x)+87439)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-6*x^2+f(x)-6*x-1) ogf] A063490 9.33212 [(x+1)*(x^2+5*x+1)/(x-1)^4 ogf] A063491 16.0842 [-(x+2)*(x^2+17*x+6)/(x-1)/(x+1)/(x^2+7*x+1) lgdogf] A063491 3.83670 [{(-5*n^2-19*n-18)*a(n+1)+(10*n^2+50*n+132)*a(n+2)+(-5*n^2-31*n-48)*a(n+3),a(0)=1,a(1)=12,a(2)=50} ogf] A063491 4.76995 [(166752*f(x)+1005037)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-8*x^2+f(x)-8*x-1) ogf] A063491 9.16822 [(x+1)*(x^2+7*x+1)/(x-1)^4 ogf] A063492 10.6931 [(x+1)*(x^2+9*x+1)/(x-1)^4 ogf] A063492 15.6879 [-(14+50*x+x^3+23*x^2)/(x-1)/(x+1)/(x^2+9*x+1) lgdogf] A063492 4.59105 [{(-7*n^2-29*n-30)*a(n+1)+(14*n^2+70*n+168)*a(n+2)+(-7*n^2-41*n-60)*a(n+3),a(0)=1,a(1)=14,a(2)=60} ogf] A063492 5.70779 [(22816*f(x)+175221)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-10*x^2+f(x)-10*x-1) ogf] A063493 15.5805 [-(16+60*x+x^3+27*x^2)/(x-1)/(1+x)/(x^2+11*x+1) lgdogf] A063493 4.01669 [{(-3*n^2-13*n-14)*a(n+1)+(6*n^2+30*n+68)*a(n+2)+(-3*n^2-17*n-24)*a(n+3),a(0)=1,a(1)=16,a(2)=70} ogf] A063493 5.00711 [(4576*f(x)+42733)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-12*x^2+f(x)-12*x-1) ogf] A063493 9.25365 [(x+1)*(x^2+11*x+1)/(x-1)^4 ogf] A063494 15.5805 [-(17+65*x+x^3+29*x^2)/(x-1)/(1+x)/(x^2+12*x+1) lgdogf] A063494 3.97303 [{(-5*n^2-22*n-24)*a(n+1)+(10*n^2+50*n+111)*a(n+2)+(-5*n^2-28*n-39)*a(n+3),a(0)=1,a(1)=17,a(2)=75} ogf] A063494 4.93944 [(51184*f(x)+520509)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-13*x^2+f(x)-13*x-1) ogf] A063494 9.25365 [(x+1)*(x^2+12*x+1)/(x-1)^4 ogf] A063495 14.9943 [-(18+70*x+31*x^2+x^3)/(x-1)/(x+1)/(x^2+13*x+1) lgdogf] A063495 3.76449 [{(-11*n^2-49*n-54)*a(n+1)+(22*n^2+110*n+240)*a(n+2)+(-11*n^2-61*n-84)*a(n+3),a(0)=1,a(1)=18,a(2)=80} ogf] A063495 4.69306 [(470880*f(x)+5180131)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-14*x^2+f(x)-14*x-1) ogf] A063495 8.91087 [(x+1)*(x^2+13*x+1)/(x-1)^4 ogf] A063496 15.0716 [-(19+75*x+x^3+33*x^2)/(x-1)/(x+1)/(x^2+14*x+1) lgdogf] A063496 3.90892 [{(-2*n^2-9*n-10)*a(n+1)+(4*n^2+20*n+43)*a(n+2)+(-2*n^2-11*n-15)*a(n+3),a(0)=1,a(1)=19,a(2)=85} ogf] A063496 4.84599 [(8384*f(x)+99209)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-15*x^2+f(x)-15*x-1) ogf] A063496 8.95589 [(x+1)*(x^2+14*x+1)/(x-1)^4 ogf] A063497 11.8737 [60*x*(x+1)/(x-1)^4 ogf] A063497 37.5851 [[5-x] ogf_with_Euler_transform] A063497 39.2395 [-(5+3*x)/(x-1)/(x+1) lgdogf] A063497 5.84957 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=60,a(2)=300} ogf] A063497 5.98151 [(536*f(x)+26895)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-60*x^2+f(x)-60*x) ogf] A063498 19.0798 [-2*(13-6*x+3*x^2)/(x-1)/(3*x^2-6*x+8) lgdogf] A063498 5.08301 [(290*f(x)-1413)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-12*x^3-4*f(x)*x+24*x^2+f(x)-32*x) ogf] A063498 9.43032 [4*x*(3*x^2-6*x+8)/(x-1)^4 ogf] A063510 18.3524 [(-2+2*x^3+14*x^15-15*x^14-3*x^2)/(x-1)/(x^15+x^3+x+1) lgdogf] A063510 18.3573 [-(x^15+x^3+x+1)/(x-1) ogf] A063511 16.4861 [2*(-1+2*x^3+28*x^15-30*x^14-3*x^2)/(x-1)/(4*x^15+2*x^3+x+1) lgdogf] A063511 18.3573 [-(4*x^15+2*x^3+x+1)/(x-1) ogf] A063518 6.47670 [-(x^11+18*x^10-3*x^9-11*x^8-2*x^7+8*x^6-9*x^5+13*x^4-6*x^3+x^2-4*x+17)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A063521 21.1836 [-2*(8+19*x+x^2)/(x-1)/(x^2+12*x+1) lgdogf] A063521 3.65578 [{(n+3)*a(n+4)+(6+11*n)*a(n+3)+(-49-11*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=16,a(3)=59} ogf] A063521 5.07746 [-(1260*f(x)+6037)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-12*x^2+f(x)-x) ogf] A063521 9.88049 [x*(x^2+12*x+1)/(x-1)^4 ogf] A063522 19.9116 [-(17+41*x+2*x^2)/(x-1)/(x^2+13*x+1) lgdogf] A063522 4.94923 [-(435*f(x)+2257)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-13*x^2+f(x)-x) ogf] A063522 9.56405 [x*(x^2+13*x+1)/(x-1)^4 ogf] A063523 20.6035 [-2*(9+22*x+x^2)/(x-1)/(x^2+14*x+1) lgdogf] A063523 4.90587 [-(4960*f(x)+27707)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-14*x^2+f(x)-x) ogf] A063523 9.61285 [x*(x^2+14*x+1)/(x-1)^4 ogf] A063524 22.3034 [x-f(x) ogf] A063524 9.67883 [{-a(n+2),a(0)=0,a(1)=1} ogf] A063537 7.00154 [(-14-74*x-66*x^5-4995*x^14+4329*x^15-110*x^3+154*x^4+66*x^2)/(x-1)/(333*x^15-22*x^5+22*x^4-22*x^3+31*x^2+12*x+1) lgdogf] A063537 8.59569 [(333*x^15-22*x^5+22*x^4-22*x^3+31*x^2+12*x+1)/(x-1)^2 ogf] A063650 6.21462 [-(x^4-5*x^2-x+1)/(4*x^6+x^5-27*x^4+x^3+16*x^2+2*x-1) ogf] A063651 4.20735 [-(6*x^6+6*x^5-17*x^4-9*x^3+12*x^2+2*x-1)/(32*x^8+42*x^7-116*x^6-85*x^5+138*x^4+17*x^3-30*x^2-3*x+1) ogf] A063673 10.9982 [-(16378*x^15-16484*x^14+43*x^6-49*x^5+2*x^2-2*x-1)/(x-1)^2 ogf] A063673 8.47605 [(4-2*x+172*x^6-405*x^5+245*x^4+230776*x^13-443478*x^14+212914*x^15)/(-1+x)/(16378*x^15-16484*x^14+43*x^6-49*x^5+2*x^2-2*x-1) lgdogf] A063674 8.34369 [-(51453*x^15-51786*x^14+135*x^6-154*x^5+7*x^2-7*x-3)/(x-1)^2 ogf] A063724 12.2730 [-x^3*(x^3-x^2+5*x-8)/(x-1)^2 ogf] A063724 21.0682 [(11-3*x+x^3-3*x^2)/(x-1)/(x^3-x^2+5*x-8) lgdogf] A063724 4.32061 [{(-217*n^2+855*n-612)*a(n+1)+(610*n^2-1488*n+306)*a(n+2)+(-393*n^2+809*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=8} ogf] A063726 4.90073 [-(x^13+2*x^12+3*x^11+x^10-x^9-5*x^8-3*x^7-3*x^6-3*x^5-x^4+x^3+x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-1)/(x^4-x^2-1) ogf] A063727 17.1060 [1/8/x*(-2*x-1+(20*x^2+4*x+1)^(1/2)) revogf] A063727 18.5329 [-1/(4*x^2+2*x-1) ogf] A063727 24.9463 [-2*(1+4*x)/(4*x^2-1+2*x) lgdogf] A063727 7.45838 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A063727 7.55045 [(5*f(x)-4)*(4*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A063757 11.7476 [(x+1)*(2*x+1)/(x-1)/(2*x^2-1) ogf] A063757 12.3168 [-2*(-2-4*x+x^2+6*x^3+2*x^4)/(x-1)/(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A063757 6.17762 [-(11*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)-3*x-1) ogf] A063757 6.39826 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A063758 12.7479 [(x^2+x+1)*(x+1)/(x-1)/(x^2+x-1) ogf] A063758 12.9371 [-2*(-2-2*x+2*x^2+4*x^3+x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2+x-1) lgdogf] A063758 6.70366 [{a(n+4)-2*a(n+3)+a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=20} ogf] A063758 7.33607 [-(58*f(x)-3)*(f(x)*x^3-x^3-2*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A063759 15.2332 [-(x+1)*(2*x+1)/(2*x^2-1) ogf] A063759 19.2519 [-(3+8*x+6*x^2)/(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A063759 8.88605 [{a(n+3)-2*a(n+1),a(0)=1,a(1)=3,a(2)=4} ogf] A063759 9.95237 [(8*f(x)+1)*(2*f(x)*x^2+2*x^2-f(x)+3*x+1) ogf] A063782 14.0915 [-(x+1)/(4*x^2+2*x-1) ogf] A063782 15.1523 [1/2/(1+4*x)*(-2*x-1+(20*x^2+8*x+1)^(1/2)) revogf] A063782 17.2568 [-(2*x+3)*(2*x+1)/(x+1)/(4*x^2+2*x-1) lgdogf] A063782 7.04576 [-(14*f(x)-5)*(4*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A063782 7.73316 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=1,a(1)=3} ogf] A063808 16.1634 [(2*x^3-4*x^2-3*x-1)/(x-1) ogf] A063808 17.8411 [2*(2+4*x-5*x^2+2*x^3)/(x-1)/(2*x^3-4*x^2-3*x-1) lgdogf] A063808 8.92355 [{-a(n+4)+a(n+3),a(0)=1,a(1)=4,a(2)=8,a(3)=6} ogf] A063808 9.51846 [-(11*f(x)+169)*(-2*x^3+f(x)*x+4*x^2-f(x)+3*x+1) ogf] A063809 10.6867 [(28*x^2+88*x+1)/(28*x^2-20*x+1) ogf] A063809 12.4543 [-108*(-1+28*x^2)/(28*x^2-20*x+1)/(28*x^2+88*x+1) lgdogf] A063809 5.58844 [{-a(n+3)+20*a(n+2)-28*a(n+1),a(0)=1,a(1)=108,a(2)=2160} ogf] A063809 8.12188 [-28*f(x)*x^2+20*f(x)*x+28*x^2-f(x)+88*x+1 ogf] A063810 4.72164 [(x^8+9*x^7+6*x^6+21*x^5+8*x^4+11*x^3+4*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A063812 4.02874 [(1+3*f(x))*(f(x)*x^4-6*f(x)*x^3-x^4-6*f(x)*x^2-2*x^3-6*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A063812 6.87255 [(x^2+1)*(x+1)^2/(x^4-6*x^3-6*x^2-6*x+1) ogf] A063812 8.17406 [-8*(x-1)*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)/(x^2+1)/(x^4-6*x^3-6*x^2-6*x+1) lgdogf] A063813 5.11657 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x^6-10*x^5-10*x^4-10*x^3-10*x^2-10*x+1) ogf] A063814 13.78 [(15*f(x)*x-f(x)+x+1)^3 ogf] A063814 4.41666 [(x^4+1)*(x^2+1)*(x+1)^2/(x^8-14*x^7-14*x^6-14*x^5-14*x^4-14*x^3-14*x^2-14*x+1) ogf] A063815 10.6508 [-(19*f(x)*x-f(x)+x+1)^2 ogf] A063816 4.94921 [(24*x^11+x^10+23*x^3+23*x^2+23*x+23)/(x^10-529*x^3+23*x^2-529*x+23) ogf] A063816 9.80675 [-(23*f(x)*x-f(x)+x+1)^2 ogf] A063817 7.92169 [(28*x^13+x^12+27*x+27)/(x^12-729*x+27) ogf] A063817 8.15467 [(f(x)-1)^2*(27*f(x)*x-f(x)+x+1) ogf] A063818 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A063818 14.5926 [-1/2-31/2*x+1/2*(1+66*x+961*x^2)^(1/2) revogf] A063818 14.8844 [-(x+1)/(31*x-1) ogf] A063818 30.8066 [-32/(1+x)/(31*x-1) lgdogf] A063818 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A063819 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A063819 14.1334 [-1/2-35/2*x+1/2*((1+25*x)*(49*x+1))^(1/2) revogf] A063819 15.5411 [-(x+1)/(35*x-1) ogf] A063819 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A063819 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A063820 13.1397 [-39*f(x)*x+f(x)-x-1 ogf] A063820 15.2137 [-1/2-39/2*x+1/2*(1+82*x+1521*x^2)^(1/2) revogf] A063820 15.9059 [-(x+1)/(39*x-1) ogf] A063820 32.9630 [-40/(x+1)/(39*x-1) lgdogf] A063820 8.16791 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A063821 13.441 [-43*f(x)*x+f(x)-x-1 ogf] A063821 15.5692 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A063821 16.2707 [-(x+1)/(43*x-1) ogf] A063821 33.7332 [-44/(x+1)/(43*x-1) lgdogf] A063821 8.35524 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A063822 13.8629 [-47*f(x)*x+f(x)-x-1 ogf] A063822 16.0668 [-1/2-47/2*x+1/2*(1+98*x+2209*x^2)^(1/2) revogf] A063822 16.7815 [-(x+1)/(47*x-1) ogf] A063822 34.8114 [-48/(x+1)/(47*x-1) lgdogf] A063822 8.61751 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A063823 10.7418 [-(3*x^3+2*x^2-1)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A063823 6.29026 [-f(x)*(2*f(x)*x^4-f(x)*x^3+3*x^3-2*f(x)*x+2*x^2+f(x)-1) ogf] A063823 8.88460 [-2*(1-2*x-x^2+2*x^3-x^4+4*x^5+3*x^6)/(x-1)/(-1+2*x)/(x^2+x+1)/(3*x^3+2*x^2-1) lgdogf] A063842 10.4447 [-(11+44*x+2*x^5+80*x^2+56*x^3+17*x^4)/(x-1)/(x+1)/(x^4+3*x^3+7*x^2+3*x+1) lgdogf] A063842 6.31159 [-(x+1)*(x^4+3*x^3+7*x^2+3*x+1)/(x-1)^7 ogf] A063843 3.45954 [-x*(6*x^8+339*x^7+3779*x^6+11221*x^5+10717*x^4+3681*x^3+473*x^2+23*x+1)/(x-1)^11 ogf] A063886 14.5372 [-2*f(x)^2*x+f(x)^2-2*x-1 ogf] A063886 36.7484 [-2/(-1+2*x)/(2*x+1) lgdogf] A063886 6.72005 [{(n+2)*a(n+2)-2*a(n+1)-4*n*a(n),a(0)=1,a(1)=2} ogf] A063914 13.7717 [(x^3+x^2+2*x+1)/(x-1)^2/(x+1)^2 ogf] A063914 16.8868 [-(2+6*x+2*x^3+x^4+9*x^2)/(x-1)/(x+1)/(x^3+x^2+2*x+1) lgdogf] A063914 8.2125 [-(430*f(x)-567)*(f(x)*x^4-2*f(x)*x^2-x^3-x^2+f(x)-2*x-1) ogf] A063920 11.3883 [-(10*f(x)-51)*(2*f(x)*x^2-f(x)+14*x+10) ogf] A063920 12.9412 [{-a(n+2)+2*a(n),a(0)=10,a(1)=14} ogf] A063920 17.4461 [-1/2*2^(1/2)*(arcsinh(7)-arcsinh(7+x)) revegf] A063920 19.4986 [-(7+20*x+14*x^2)/(7*x+5)/(2*x^2-1) lgdogf] A063920 19.8633 [-2*(7*x+5)/(2*x^2-1) ogf] A063941 11.4155 [-39*f(x)*x+f(x)-17 ogf] A063941 16.5624 [-1/39*ln(17)+1/39*ln(17+39*x) revegf] A063941 18.1802 [-17/(39*x-1) ogf] A063941 36.9468 [-39/(-1+39*x) lgdogf] A063941 9.09009 [{a(n+1)-39*a(n),a(0)=17} ogf] A063942 16.6587 [(2*x^3-x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A063942 21.6021 [-2*x*(-1+x^4+4*x-x^2)/(x-1)/(x^2+x+1)/(2*x^3-x^2-x+1) lgdogf] A063942 7.05184 [{(-n-2)*a(n+1)-a(n+2)-a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=0,a(2)=-1,a(3)=2} ogf] A063942 9.57878 [(16*f(x)+5)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x+x^2+f(x)+x-1) ogf] A063945 14.6042 [-10*f(x)*x+f(x)+10*x-10 ogf] A063945 17.5250 [10*(x-1)/(10*x-1) ogf] A063945 18.6221 [1/2+1/2*x-1/10*(25+40*x+25*x^2)^(1/2) revogf] A063945 40.5305 [9/(10*x-1)/(-1+x) lgdogf] A063945 9.34668 [{a(n+2)-10*a(n+1),a(0)=10,a(1)=90} ogf] A063992 11.4244 [(4-2*x+2*x^4-5*x^3+19*x^21-39*x^20+20*x^19+3*x^2)/(x-1)/(x^21-x^20+x^4-x^3+2*x-3) lgdogf] A063992 11.9315 [-(x^21-x^20+x^4-x^3+2*x-3)/(x-1)^2 ogf] A064017 11.9645 [(3*x^2-3*x+1)/(3*x-1)^2 ogf] A064017 21.4222 [3*(x-1)/(3*x-1)/(3*x^2-3*x+1) lgdogf] A064017 6.15650 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A064017 6.67493 [(13+14*f(x))*(9*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A064031 10.9457 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A064037 3.07707 [{(-144*n^3-864*n^2-1692*n-1080)*a(n+1)+(40*n^3+420*n^2+1424*n+1560)*a(n+2)+(-n^3-15*n^2-74*n-120)*a(n+3),a(0)=1,a(1)=3,a(2)=24} ogf] A064038 12.8192 [-3*(1-2*x-x^6+10*x^5-4*x^4+x^8+7*x^2)/(x-1)/(x^6+4*x^3+1)/(x^2+1) lgdogf] A064038 7.22499 [-x*(x^6+4*x^3+1)/(x^2+1)^3/(x-1)^3 ogf] A064043 10.3592 [-3*x*(x^2-2*x-1)/(x-1)^4 ogf] A064043 23.2861 [-2*(x+1)*(x-3)/(x-1)/(x^2-2*x-1) lgdogf] A064043 3.83868 [{(-3-n)*a(n+4)+(4-n)*a(n+3)+(7+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=18,a(3)=51} ogf] A064043 5.3255 [-(256*f(x)+2907)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-6*x^2+f(x)-3*x) ogf] A064046 19.0866 [-2*(7+22*x+7*x^2)/(x-1)/(7*x^2+10*x+1) lgdogf] A064046 3.67978 [{(n+3)*a(n+4)+(4+9*n)*a(n+3)+(-47-3*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=5,a(2)=70,a(3)=285} ogf] A064046 5.11081 [-(112*f(x)+2245)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-35*x^3-4*f(x)*x-50*x^2+f(x)-5*x) ogf] A064046 9.81276 [5*x*(7*x^2+10*x+1)/(x-1)^4 ogf] A064054 3.68565 [-(x^2-5*x+5)*(x^2-x-1)/(x-1)^10 ogf] A064054 8.63370 [-2*(-25+9*x+3*x^4-19*x^3+27*x^2)/(x-1)/(x^2-5*x+5)/(x^2-x-1) lgdogf] A064055 4.24080 [-(x^5-6*x^4+15*x^3-16*x^2+4*x+3)/(x-1)^9 ogf] A064055 8.47502 [-(31+4*x^5+66*x^3-25*x^4-67*x^2)/(x-1)/(x^5-6*x^4+15*x^3-16*x^2+4*x+3) lgdogf] A064056 10.5616 [-(-19+16*x-8*x^3+x^2+3*x^4)/(x-1)/(x^4-3*x^3+2*x^2+2*x-3) lgdogf] A064056 5.44794 [(x^4-3*x^3+2*x^2+2*x-3)/(x-1)^7 ogf] A064057 4.56555 [-(2*x^4-7*x^3+8*x^2-2*x-2)/(x-1)^8 ogf] A064057 8.77119 [-(-18+2*x+8*x^4-27*x^3+27*x^2)/(x-1)/(2*x^4-7*x^3+8*x^2-2*x-2) lgdogf] A064058 4.39445 [(3*x^4-11*x^3+14*x^2-6*x-1)/(x-1)^9 ogf] A064058 8.78891 [-(-15-20*x+15*x^4-54*x^3+65*x^2)/(x-1)/(3*x^4-11*x^3+14*x^2-6*x-1) lgdogf] A064059 5.90698 [(42*x^5-252*x^4+616*x^3-770*x^2+495*x-132)/(x-1)^7 ogf] A064059 6.09158 [{(n^2+17*n+42)*a(n+1)+(-n^2-11*n-18)*a(n+2),a(0)=132,a(1)=429} ogf] A064059 7.97641 [-(-429+1430*x+84*x^5-2002*x^2+1456*x^3-546*x^4)/(x-1)/(42*x^5-252*x^4+616*x^3-770*x^2+495*x-132) lgdogf] A064061 5.01891 [(132*x^6-924*x^5+2730*x^4-4368*x^3+4004*x^2-2002*x+429)/(x-1)^8 ogf] A064061 6.06938 [{(n^2+19*n+48)*a(n+1)+(-n^2-12*n-20)*a(n+2),a(0)=429,a(1)=1430} ogf] A064061 6.41011 [-2*(715-3003*x+132*x^6-990*x^5+3150*x^4-5460*x^3+5460*x^2)/(x-1)/(132*x^6-924*x^5+2730*x^4-4368*x^3+4004*x^2-2002*x+429) lgdogf] A064062 11.1278 [-f(x)^2*x-f(x)^2+3*f(x)-2 ogf] A064062 13.6287 [-1/2*(-1+8*x+3*(1-8*x)^(1/2))/(x+1)/(-1+8*x) lgdogf] A064062 20.6780 [1/4*(3-x+(1-6*x+x^2)^(1/2))*x revogf] A064062 4.05315 [{(8*n+12)*a(n+1)+(7*n+9)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A064063 12.2379 [-1/2*(-1+12*x+5*(1-12*x)^(1/2))/(x+2)/(-1+12*x) lgdogf] A064063 13.3196 [-f(x)^2*x-2*f(x)^2+5*f(x)-3 ogf] A064063 19.1727 [1/6*(5-x+(1-10*x+x^2)^(1/2))*x revogf] A064063 4.75699 [{(12*n+18)*a(n+1)+(23*n+33)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A064087 11.6525 [-1/2*(-1+16*x+7*(1-16*x)^(1/2))/(x+3)/(-1+16*x) lgdogf] A064087 12.8977 [-f(x)^2*x-3*f(x)^2+7*f(x)-4 ogf] A064087 18.2555 [1/8*(7-x+(1-14*x+x^2)^(1/2))*x revogf] A064087 4.60632 [{(16*n+24)*a(n+1)+(47*n+69)*a(n+2)+(-3*n-9)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A064088 11.0695 [-1/2*(-1+20*x+9*(1-20*x)^(1/2))/(x+4)/(-1+20*x) lgdogf] A064088 16.7828 [1/10*(9-x+(1-18*x+x^2)^(1/2))*x revogf] A064088 3.40915 [{(20*n+30)*a(n+1)+(79*n+117)*a(n+2)+(-4*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A064088 9.66961 [-f(x)^2*x-4*f(x)^2+9*f(x)-5 ogf] A064089 14.9629 [1/12*(11-x+(1-22*x+x^2)^(1/2))*x revogf] A064089 3.12194 [{(24*n+36)*a(n+1)+(119*n+177)*a(n+2)+(-5*n-15)*a(n+3),a(0)=1,a(1)=1,a(2)=7} ogf] A064089 8.75261 [-f(x)^2*x-5*f(x)^2+11*f(x)-6 ogf] A064089 9.97526 [-1/2*(-1+24*x+11*(1-24*x)^(1/2))/(x+5)/(-1+24*x) lgdogf] A064090 10.3884 [-1/2*(-1+28*x+13*(1-28*x)^(1/2))/(x+6)/(-1+28*x) lgdogf] A064090 15.5827 [1/14*(13-x+(1-26*x+x^2)^(1/2))*x revogf] A064090 3.24827 [{(28*n+42)*a(n+1)+(167*n+249)*a(n+2)+(-6*n-18)*a(n+3),a(0)=1,a(1)=1,a(2)=8} ogf] A064090 9.10676 [-f(x)^2*x-6*f(x)^2+13*f(x)-7 ogf] A064091 11.3328 [-1/2*(32*x-1+15*(1-32*x)^(1/2))/(x+7)/(32*x-1) lgdogf] A064091 16.2910 [1/16*(15-x+(1-30*x+x^2)^(1/2))*x revogf] A064091 3.39263 [{(32*n+48)*a(n+1)+(223*n+333)*a(n+2)+(-7*n-21)*a(n+3),a(0)=1,a(1)=1,a(2)=9} ogf] A064091 9.5115 [-f(x)^2*x-7*f(x)^2+15*f(x)-8 ogf] A064092 11.2148 [-1/2*(-1+36*x+17*(1-36*x)^(1/2))/(x+8)/(-1+36*x) lgdogf] A064092 16.8222 [1/18*(17-x+(1-34*x+x^2)^(1/2))*x revogf] A064092 3.47875 [{(36*n+54)*a(n+1)+(287*n+429)*a(n+2)+(-8*n-24)*a(n+3),a(0)=1,a(1)=1,a(2)=10} ogf] A064092 9.81506 [-f(x)^2*x-8*f(x)^2+17*f(x)-9 ogf] A064093 11.5689 [-1/2*(-1+40*x+19*(1-40*x)^(1/2))/(x+9)/(-1+40*x) lgdogf] A064093 17.3534 [1/20*(19-x+(1-38*x+x^2)^(1/2))*x revogf] A064093 3.58634 [{(40*n+60)*a(n+1)+(359*n+537)*a(n+2)+(-9*n-27)*a(n+3),a(0)=1,a(1)=1,a(2)=11} ogf] A064093 9.9411 [-f(x)^2*x-9*f(x)^2+19*f(x)-10 ogf] A064096 11.8759 [-2*(7+32*x+x^3+20*x^2)/(x-1)/(1+2*x)/(x^2+8*x+1) lgdogf] A064096 3.89185 [(140670*f(x)+1366169)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-17*x^2+f(x)-10*x-1) ogf] A064096 7.38959 [(2*x+1)*(x^2+8*x+1)/(x-1)^4 ogf] A064099 12.3842 [(-2+3*x^4+39*x^40-40*x^39-4*x^3-13*x^12+12*x^13)/(x-1)/(x^40+x^13+x^4+x+1) lgdogf] A064099 14.8389 [-(x^40+x^13+x^4+x+1)/(x-1) ogf] A064100 3.72544 [-(93667477722774669351*f(x)-922742574227920100)*(10000*f(x)*x^4-20200*f(x)*x^3+10401*f(x)*x^2-202*f(x)*x+100*x^2+f(x)-1) ogf] A064100 4.96981 [-(10*x-1)*(10*x+1)/(100*x-1)^2/(x-1)^2 ogf] A064100 6.65450 [-2*(101-300*x+10000*x^3)/(-1+x)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A064108 12.5723 [-20*f(x)*x^2+21*f(x)*x-f(x)+x ogf] A064108 12.8911 [-1/40*(-21*x-1+(361*x^2+42*x+1)^(1/2))/x revogf] A064108 14.9755 [x/(20*x-1)/(x-1) ogf] A064108 19.0979 [-(-21+40*x)/(-1+20*x)/(x-1) lgdogf] A064108 6.31499 [{a(n+2)-21*a(n+1)+20*a(n),a(0)=0,a(1)=1} ogf] A064163 7.9017 [(f(x)-1)^2*(-2603658750*x^4+f(x)-1) ogf] A064170 10.9159 [-(x^3+2*x^2-7*x+1)/(x-1)/(x^2-7*x+1) ogf] A064170 5.66314 [{-a(n+4)+8*a(n+3)-8*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=10} ogf] A064170 6.12357 [-(2*f(x)-3)*(f(x)*x^3-8*f(x)*x^2+x^3+8*f(x)*x+2*x^2-f(x)-7*x+1) ogf] A064170 9.17945 [-(1-12*x+10*x^4-30*x^3+46*x^2)/(x-1)/(x^2-7*x+1)/(x^3+2*x^2-7*x+1) lgdogf] A064195 4.79115 [-9*x^2*(22*x^4-109*x^3+63*x^2+1013*x+91)/(x-1)^7 ogf] A064195 8.34768 [-6*(275+1034*x-58*x^3+11*x^4-2*x^2)/(x-1)/(22*x^4-109*x^3+63*x^2+1013*x+91) lgdogf] A064197 29.5354 [-(7+8*x)/(2*x+1)/(x-1) lgdogf] A064197 4.37629 [{(n+1)*a(n+3)+(-7+n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=324} ogf] A064197 7.90895 [-324*x^2*(2*x+1)/(x-1)^5 ogf] A064198 16.4827 [-3*(-13-4*x+2*x^2)/(-1+x)/(2*x^2-4*x-7) lgdogf] A064198 7.21810 [12*x^2*(2*x^2-4*x-7)/(x-1)^5 ogf] A064199 14.0484 [-2*(-7-21*x-3*x^2+x^3)/(x-1)/(x^3-3*x^2-9*x-1) lgdogf] A064199 3.58706 [{(n^2+9*n+14)*a(n+1)+(10*n^2+78*n+152)*a(n+2)+(-11*n^2-39*n-34)*a(n+3),a(0)=0,a(1)=9,a(2)=126} ogf] A064199 7.05841 [9*x*(x^3-3*x^2-9*x-1)/(x-1)^5 ogf] A064200 10.1066 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x) ogf] A064200 15.6377 [-24*x^2/(x-1)^3 ogf] A064200 6.48047 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=24} ogf] A064200 88.9942 [-3/(x-1) lgdogf] A064201 12.4180 [-9*x*(5*x+1)/(x-1)^3 ogf] A064201 29.5554 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A064201 6.15592 [-(540*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+45*x^2-f(x)+9*x) ogf] A064201 6.43074 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=72} ogf] A064202 12.9978 [-(17+74*x+41*x^2+8*x^3)/(x-1)/(2*x^3+7*x^2+10*x+1) lgdogf] A064202 3.41964 [{(55*n^2+303*n+332)*a(n+1)+(124*n^2+1758*n+3674)*a(n+2)+(-179*n^2-657*n-598)*a(n+3),a(0)=0,a(1)=2,a(2)=34} ogf] A064202 5.94586 [-2*x*(2*x^3+7*x^2+10*x+1)/(x-1)^7 ogf] A064203 3.69242 [4*x^2*(2*x^5+25*x^4+135*x^3+230*x^2+145*x+23)/(x-1)^10 ogf] A064203 7.18673 [-5*(75+353*x+2*x^5+32*x^4+209*x^3+449*x^2)/(x-1)/(2*x^5+25*x^4+135*x^3+230*x^2+145*x+23) lgdogf] A064204 4.15129 [x^2*(20*x^6-59*x^5+70*x^4+45*x^3+120*x^2+80*x+4)/(x-1)^10 ogf] A064204 5.99158 [-5*(24+192*x+16*x^6+219*x^2+119*x^3+25*x^4-35*x^5)/(x-1)/(20*x^6-59*x^5+70*x^4+45*x^3+120*x^2+80*x+4) lgdogf] A064206 4.70197 [(x^16-x^15-5*x^12+4*x^11+x^9+x^8+7*x^7-4*x^6+x^5+x^4-4*x^3-2*x^2+x+5)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A064225 13.2433 [-(3*x^2+5*x+1)/(x-1)^3 ogf] A064225 22.6437 [-(8+16*x+3*x^2)/(x-1)/(3*x^2+5*x+1) lgdogf] A064225 6.51487 [-(80433*f(x)-248881)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+5*x+1) ogf] A064225 7.14905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=24} ogf] A064226 13.3689 [-(x^2+5*x+3)/(x-1)^3 ogf] A064226 25.0058 [-(14+12*x+x^2)/(x-1)/(x^2+5*x+3) lgdogf] A064226 6.85295 [(19197*f(x)-87731)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+5*x+3) ogf] A064226 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=14,a(2)=34} ogf] A064235 10.3646 [3*(-1-54*x^8+48*x^9+4*x^3-6*x^2+468*x^27-486*x^26)/(x-1)/(54*x^27+18*x^9+6*x^3+2*x+1) lgdogf] A064235 14.0328 [-(54*x^27+18*x^9+6*x^3+2*x+1)/(x-1) ogf] A064302 5.66909 [-(6*x^4+111*x^3+181*x^2+37*x+1)/(x-1)^5 ogf] A064302 8.26682 [-6*(7+85*x+x^4+41*x^3+146*x^2)/(x-1)/(6*x^4+111*x^3+181*x^2+37*x+1) lgdogf] A064303 4.63950 [(18*x^5+741*x^4+2624*x^3+1530*x^2+126*x+1)/(x-1)^6 ogf] A064303 5.93742 [-6*(22+615*x+1806*x^3+2332*x^2+262*x^4+3*x^5)/(x-1)/(18*x^5+741*x^4+2624*x^3+1530*x^2+126*x+1) lgdogf] A064304 3.62748 [-(57*x^6+4950*x^5+34063*x^4+43940*x^3+11607*x^2+422*x+1)/(x-1)^7 ogf] A064305 2.95643 [(186*x^7+33337*x^6+412698*x^5+1013799*x^4+616894*x^3+83823*x^2+1422*x+1)/(x-1)^8 ogf] A064306 14.1570 [1/4/x^2*(-1+x-4*x^2+(1-2*x+9*x^2)^(1/2)) revogf] A064306 3.80565 [{(-8*n-20)*a(n+1)+(-7*n-16)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=1,a(2)=7} ogf] A064306 6.08904 [2*x^3*f(x)^2+4*f(x)^2*x^2+2*f(x)^2*x-f(x)*x-f(x)+1 ogf] A064310 10.189 [f(x)^2*x-2*f(x)^2+3*f(x)-1 ogf] A064310 13.9633 [-1/2*(1+4*x+3*(1+4*x)^(1/2))/(1+4*x)/(x-2) lgdogf] A064310 18.9180 [-1/2*(-3-x+(1+6*x+x^2)^(1/2))*x revogf] A064310 3.76103 [{(4*n+6)*a(n+1)+(-7*n-9)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=0} ogf] A064311 12.9030 [-1/2*(1+8*x+5*(1+8*x)^(1/2))/(1+8*x)/(x-3) lgdogf] A064311 16.9351 [-1/4*(-5-x+(1+10*x+x^2)^(1/2))*x revogf] A064311 3.42259 [{(8*n+12)*a(n+1)+(-23*n-33)*a(n+2)+(-3*n-9)*a(n+3),a(0)=1,a(1)=1,a(2)=-1} ogf] A064311 9.52105 [f(x)^2*x-3*f(x)^2+5*f(x)-2 ogf] A064317 5.89714 [(x^29-x^28+x^24-x^23+x^19-x^18+x^14-x^13+x^10+x^7+x^5+x^3+1)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A064321 4.03368 [{(-n^3-n^2)*a(n)+(n^3-7*n^2+16*n-12)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=864} ogf] A064321 4.05970 [-288*x^4*(3*x^4+33*x^3+68*x^2+33*x+3)/(x-1)^9 ogf] A064321 9.25373 [-5*(12+80*x+3*x^4+42*x^3+115*x^2)/(x-1)/(3*x^4+33*x^3+68*x^2+33*x+3) lgdogf] A064322 4.91330 [-x*(x^6+12*x^5+78*x^4+133*x^3+78*x^2+12*x+1)/(x-1)^9 ogf] A064322 5.66097 [{(-n^3-10*n^2-35*n-42)*a(n+1)+(n^3+2*n^2+3*n+2)*a(n+2),a(0)=0,a(1)=1} ogf] A064322 8.20332 [-3*(7+84*x+x^6+18*x^5+315*x^2+370*x^3+150*x^4)/(x-1)/(x^6+12*x^5+78*x^4+133*x^3+78*x^2+12*x+1) lgdogf] A064325 12.5821 [-1/2*(1+12*x+7*(1+12*x)^(1/2))/(1+12*x)/(x-4) lgdogf] A064325 14.0812 [f(x)^2*x-4*f(x)^2+7*f(x)-3 ogf] A064325 17.6935 [-1/6*(-7-x+(1+14*x+x^2)^(1/2))*x revogf] A064325 4.99655 [{(-12*n-18)*a(n+1)+(47*n+69)*a(n+2)+(4*n+12)*a(n+3),a(0)=1,a(1)=1,a(2)=-2} ogf] A064326 12.6284 [-1/2*(1+16*x+9*(1+16*x)^(1/2))/(1+16*x)/(x-5) lgdogf] A064326 12.787 [f(x)^2*x-5*f(x)^2+9*f(x)-4 ogf] A064326 17.7587 [-1/8*(-9-x+(1+18*x+x^2)^(1/2))*x revogf] A064326 4.50823 [{(-16*n-24)*a(n+1)+(79*n+117)*a(n+2)+(5*n+15)*a(n+3),a(0)=1,a(1)=1,a(2)=-3} ogf] A064327 11.6243 [-1/2*(1+20*x+11*(1+20*x)^(1/2))/(1+20*x)/(x-6) lgdogf] A064327 12.0364 [f(x)^2*x-6*f(x)^2+11*f(x)-5 ogf] A064327 15.7270 [-1/10*(-11-x+(1+22*x+x^2)^(1/2))*x revogf] A064327 4.29324 [{(-20*n-30)*a(n+1)+(119*n+177)*a(n+2)+(6*n+18)*a(n+3),a(0)=1,a(1)=1,a(2)=-4} ogf] A064328 10.7169 [-1/2*(1+24*x+13*(1+24*x)^(1/2))/(1+24*x)/(x-7) lgdogf] A064328 14.4994 [-1/12*(-13-x+(1+26*x+x^2)^(1/2))*x revogf] A064328 3.06781 [{(-24*n-36)*a(n+1)+(167*n+249)*a(n+2)+(7*n+21)*a(n+3),a(0)=1,a(1)=1,a(2)=-5} ogf] A064328 8.60083 [f(x)^2*x-7*f(x)^2+13*f(x)-6 ogf] A064329 11.2712 [-1/2*(1+28*x+15*(1+28*x)^(1/2))/(1+28*x)/(x-8) lgdogf] A064329 15.2493 [-1/14*(-15-x+(1+30*x+x^2)^(1/2))*x revogf] A064329 3.23022 [{(-28*n-42)*a(n+1)+(223*n+333)*a(n+2)+(8*n+24)*a(n+3),a(0)=1,a(1)=1,a(2)=-6} ogf] A064329 9.05616 [f(x)^2*x-8*f(x)^2+15*f(x)-7 ogf] A064330 11.7640 [-1/2*(1+32*x+17*(1+32*x)^(1/2))/(1+32*x)/(x-9) lgdogf] A064330 15.9160 [-1/16*(-17-x+(1+34*x+x^2)^(1/2))*x revogf] A064330 3.37459 [{(-32*n-48)*a(n+1)+(287*n+429)*a(n+2)+(9*n+27)*a(n+3),a(0)=1,a(1)=1,a(2)=-7} ogf] A064330 9.46091 [f(x)^2*x-9*f(x)^2+17*f(x)-8 ogf] A064331 11.8151 [-1/2*(1+36*x+19*(1+36*x)^(1/2))/(1+36*x)/(x-10) lgdogf] A064331 16.3326 [-1/18*(-19-x+(1+38*x+x^2)^(1/2))*x revogf] A064331 3.44289 [{(-36*n-54)*a(n+1)+(359*n+537)*a(n+2)+(10*n+30)*a(n+3),a(0)=1,a(1)=1,a(2)=-8} ogf] A064331 9.54346 [f(x)^2*x-10*f(x)^2+19*f(x)-9 ogf] A064332 12.1768 [-1/2*(1+40*x+21*(1+40*x)^(1/2))/(1+40*x)/(x-11) lgdogf] A064332 16.8326 [-1/20*(-21-x+(1+42*x+x^2)^(1/2))*x revogf] A064332 3.55048 [{(-40*n-60)*a(n+1)+(439*n+657)*a(n+2)+(11*n+33)*a(n+3),a(0)=1,a(1)=1,a(2)=-9} ogf] A064332 9.672 [f(x)^2*x-11*f(x)^2+21*f(x)-10 ogf] A064333 12.4782 [-1/2*(1+44*x+23*(1+44*x)^(1/2))/(1+44*x)/(x-12) lgdogf] A064333 17.2492 [-1/22*(-23-x+(1+46*x+x^2)^(1/2))*x revogf] A064333 3.61725 [{(-44*n-66)*a(n+1)+(527*n+789)*a(n+2)+(12*n+36)*a(n+3),a(0)=1,a(1)=1,a(2)=-10} ogf] A064333 9.91625 [f(x)^2*x-12*f(x)^2+23*f(x)-11 ogf] A064335 3.79767 [{(-4*n^3-26*n^2-54*n-36)*a(n+1)+(n+4)*a(n+2),a(0)=3,a(1)=4} ogf] A064340 5.70485 [-4*f(x)^2*x^2-4*f(x)^2*x-f(x)^2+13*f(x)*x+2*f(x)-9*x-1 ogf] A064340 6.87036 [1/2*(-5+98*x-288*x^2+3*(-(16*x-1)*(-1+26*x)^2)^(1/2))/(1+2*x)/(9*x+1)/(16*x-1) lgdogf] A064341 5.34841 [9*f(x)^2*x^2+12*f(x)^2*x+4*f(x)^2-37*f(x)*x-8*f(x)+25*x+4 ogf] A064341 5.96292 [1/2*(-26+1011*x-2700*x^2+5*(-(-1+36*x)*(-2+111*x)^2)^(1/2))/(3*x+2)/(-1+36*x)/(25*x+4) lgdogf] A064342 5.21247 [16*f(x)^2*x^2+24*f(x)^2*x+9*f(x)^2-73*f(x)*x-18*f(x)+49*x+9 ogf] A064342 5.86387 [1/2*(-75+4996*x-12544*x^2+7*(-(-1+64*x)*(-3+292*x)^2)^(1/2))/(4*x+3)/(-1+64*x)/(49*x+9) lgdogf] A064343 4.75881 [25*f(x)^2*x^2+40*f(x)^2*x+16*f(x)^2-121*f(x)*x-32*f(x)+81*x+16 ogf] A064344 4.18697 [36*f(x)^2*x^2+60*f(x)^2*x+25*f(x)^2-181*f(x)*x-50*f(x)+121*x+25 ogf] A064345 4.4661 [49*f(x)^2*x^2+84*f(x)^2*x+36*f(x)^2-253*f(x)*x-72*f(x)+169*x+36 ogf] A064346 4.62463 [64*f(x)^2*x^2+112*f(x)^2*x+49*f(x)^2-337*f(x)*x-98*f(x)+225*x+49 ogf] A064347 4.78018 [81*f(x)^2*x^2+144*f(x)^2*x+64*f(x)^2-433*f(x)*x-128*f(x)+289*x+64 ogf] A064349 11.4220 [-(1+6*x+30*x^5+16*x^2+36*x^3+31*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A064349 18.6243 [1+2*x+3/2*x^2+2/3*x^3 egf]_with_Euler_transform] A064350 4.34231 [{(27*n^2+81*n+60)*a(n+1)-a(n+2),a(0)=1,a(1)=6} ogf] A064352 19.4081 [(-1+(1-2*x)^(1/2))*(-1+2*x) revegf] A064352 4.65313 [{(27*n^2+81*n+60)*a(n+1)+(-4*n-6)*a(n+2),a(0)=1,a(1)=3} ogf] A064352 9.22603 [hypergeom([1/3,2/3],[1/2],27/4*x) egf] A064352 9.55553 [-27*f(x)^3*x+4*f(x)^3-3*f(x)-1 egf] A064378 5.00056 [{4*n^2*a(n)+(2*n^2+4*n+4)*a(n+1)+(-n-2)*a(n+2),a(0)=2,a(1)=4} ogf] A064385 10.7963 [-1/10*(-7-6*x+(49+104*x+16*x^2)^(1/2))/(-1+x) revogf] A064385 11.0580 [(5*x+7)/(5*x-1)/(x-1) ogf] A064385 12.1458 [-(-47+70*x+25*x^2)/(x-1)/(5*x+7)/(5*x-1) lgdogf] A064385 5.59113 [(212*f(x)+725)*(5*f(x)*x^2-6*f(x)*x+f(x)-5*x-7) ogf] A064385 5.99530 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=7,a(1)=47} ogf] A064386 6.52616 [-(8*x^8-2*x^5-2*x^4-4*x^3+x^2+x+1)/(x-1)/(4*x^3-1)/(2*x^3-1) ogf] A064412 7.60310 [(x^2+x+1)*(3*x^3+x^2+2*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A064412 7.74858 [-(5+18*x+58*x^3+58*x^5+9*x^8+22*x^7+50*x^6+76*x^4+40*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^3+x^2+2*x+1)/(x^2+x+1) lgdogf] A064416 2.24517 [(3*f(x)*x^2+f(x)*x-f(x)+x+1)^2 ogf] A064429 13.6853 [x*(2*x^2-x+2)/(x^2+x+1)/(x-1)^2 ogf] A064429 16.8599 [-(1+5*x+4*x^4-x^3+9*x^2)/(x-1)/(x^2+x+1)/(2*x^2-x+2) lgdogf] A064429 5.45734 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=2,a(2)=1,a(3)=3} ogf] A064429 7.6685 [(9*f(x)+19)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x+x^2+f(x)-2*x) ogf] A064455 18.3286 [(3*x+1)/(x-1)^2/(x+1)^2 ogf] A064455 25.9116 [-(3+4*x+9*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A064455 4.55889 [{(-n-4)*a(n+4)+(-6-3*n)*a(n+3)+(6+n)*a(n+2)+(12+3*n)*a(n+1),a(0)=1,a(1)=3,a(2)=2,a(3)=6} ogf] A064455 9.55425 [-(352*f(x)-1871)*(f(x)*x^4-2*f(x)*x^2+f(x)-3*x-1) ogf] A064458 20.3485 [x^11/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064458 9.76462 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+12*x^10)/(x-1)/(1+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x) lgdogf] A064459 20.2436 [x^12/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A064459 9.00621 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+13*x^11)/(x-1)/(1+x^2+x)/(1+x)/(1-x+x^2)/(1+x^2)/(x^4-x^2+1) lgdogf] A064487 4.15498 [20*(128*x+1)*(16384*x^2-32*x+1)/(1024*x-1)/(256*x-1)/(64*x-1)/(16*x-1) ogf] A064488 6.27677 [x*(x^10+x^8+x+1)*(x^6+x^3+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064506 6.23348 [x*(x+1)*(x^2+1)*(x^2-x+1)*(x^11+x^5+x^4-x^3-x^2+x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064551 4.39893 [-(6*f(x)-5)*(f(x)*x^5-2*f(x)*x^4-f(x)*x^3-x^4+5*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A064551 7.89916 [(x^4+x^3+2*x^2-3*x+1)/(x^2+x-1)/(x-1)^3 ogf] A064551 9.35438 [-(-1+4*x+4*x^5+12*x^4-10*x^3+x^6-4*x^2)/(x-1)/(x^2+x-1)/(x^4+x^3+2*x^2-3*x+1) lgdogf] A064583 3.42814 [-48*x^2*(x+1)*(17*x^6+903*x^5+8415*x^4+19130*x^3+8415*x^2+903*x+17)/(x-1)^11 ogf] A064598 4.85460 [-(x^36-x^34-x^33+x^24+x^22-x^12-1)/(x^33-x^23-x^22+x^12+1)/(x-1)^2 ogf] A064613 24.4595 [x*(-1+x)/(-1-2*x+2*x^2) revogf] A064613 3.73333 [{(-12*n-24)*a(n+1)+(8*n+22)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A064613 5.51539 [-1/2*(2*x-1-(6*x-1)^(1/2)*(2*x-1)^(1/2)+4*(6*x-1)^(1/2)*(2*x-1)^(1/2)*x)/(6*x-1)^(1/2)/(2*x-1)^(3/2)/x lgdogf] A064613 7.46667 [2*f(x)^2*x^2-f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A064616 10.3055 [(100*x-9)/(x-1)/(10*x-1)^2 ogf] A064616 13.7621 [-(89-1270*x+2000*x^2)/(x-1)/(100*x-9)/(10*x-1) lgdogf] A064616 5.0683 [-(33829*f(x)-68025)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-f(x)-100*x+9) ogf] A064616 5.15277 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=9,a(1)=89,a(2)=789} ogf] A064617 12.2457 [(10*x-9)/(10*x-1)/(x-1)^2 ogf] A064617 14.6862 [-2*(10*x-7)^2/(x-1)/(10*x-9)/(10*x-1) lgdogf] A064617 5.72136 [-(292553*f(x)+1393500)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)-10*x+9) ogf] A064617 5.91530 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=9,a(1)=98,a(2)=987} ogf] A064633 4.31854 [{(3*n^2+18*n+24)*a(n+1)-a(n+2),a(0)=1,a(1)=9} ogf] A064641 30.2597 [-x*(-1+x)/(1+x+x^2) revogf] A064641 7.62725 [-f(x)^2*x^2-f(x)^2*x-f(x)*x+f(x)-1 ogf] A064671 6.65421 [-2*(-9+62*x-172*x^2+280*x^3-280*x^4+128*x^5)/(x-1)/(2*x-1)/(-1+4*x)/(16*x^3-22*x^2+12*x-3) lgdogf] A064671 7.49966 [x*(16*x^3-22*x^2+12*x-3)/(4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A064680 14.8844 [x*(2*x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A064680 19.8925 [-(1+12*x+4*x^3+3*x^2)/(x-1)/(1+x)/(2+2*x^2+x) lgdogf] A064680 7.89523 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=2,a(2)=1} ogf] A064680 8.90148 [-(2*f(x)-11)*(f(x)*x^4-2*f(x)*x^2-2*x^3-x^2+f(x)-2*x) ogf] A064686 13.0324 [-x*(3*x-2)/(3*x-1)/(2*x-1) ogf] A064686 15.3369 [-(7-24*x+18*x^2)/(3*x-1)/(-1+2*x)/(3*x-2) lgdogf] A064686 16.1234 [-1/6*(-2-5*x+(4+8*x+x^2)^(1/2))/(2*x+1) revogf] A064686 6.32265 [{a(n+3)-5*a(n+2)+6*a(n+1),a(0)=0,a(1)=2,a(2)=7} ogf] A064686 7.51279 [-f(x)*(6*f(x)*x^2-5*f(x)*x+3*x^2+f(x)-2*x) ogf] A064694 15.8481 [-(5+15*x+10*x^3+26*x^2)/(x-1)/(x+1)/(2*x^2+4*x+1) lgdogf] A064694 8.51382 [(2*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A064717 6.06116 [(2*x^12+2*x^11+x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064718 8.50665 [(x+1)*(x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064719 6.87364 [(2*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064720 6.75818 [(x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A064724 11.6026 [(x+1)*(2*x^3+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A064724 9.12980 [-(3+5*x+13*x^4+14*x^3+10*x^2+15*x^5+8*x^6+8*x^7+4*x^8)/(x-1)/(x+1)/(2*x^3+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A064746 10.8508 [-(-9-24*x+448*x^3-72*x^2)/(x-1)/(8*x-1)/(56*x^2-8*x+1) lgdogf] A064746 4.82033 [(168266*f(x)-93503)*(64*f(x)*x^3-80*f(x)*x^2+17*f(x)*x+56*x^2-f(x)-8*x+1) ogf] A064746 5.10873 [{a(n+3)-17*a(n+2)+80*a(n+1)-64*a(n),a(0)=1,a(1)=9,a(2)=129} ogf] A064746 9.19571 [-(56*x^2-8*x+1)/(x-1)/(8*x-1)^2 ogf] A064747 10.9365 [-2*(-5-18*x+324*x^3-45*x^2)/(x-1)/(9*x-1)/(72*x^2-9*x+1) lgdogf] A064747 4.91513 [(3603008*f(x)-2132225)*(81*f(x)*x^3-99*f(x)*x^2+19*f(x)*x+72*x^2-f(x)-9*x+1) ogf] A064747 5.29001 [{a(n+3)-19*a(n+2)+99*a(n+1)-81*a(n),a(0)=1,a(1)=10,a(2)=163} ogf] A064747 9.60340 [-(72*x^2-9*x+1)/(x-1)/(9*x-1)^2 ogf] A064748 11.0163 [-(-11-50*x+900*x^3-110*x^2)/(x-1)/(10*x-1)/(90*x^2-10*x+1) lgdogf] A064748 5.00555 [(7785072*f(x)-4846069)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x+90*x^2-f(x)-10*x+1) ogf] A064748 5.42268 [{a(n+3)-21*a(n+2)+120*a(n+1)-100*a(n),a(0)=1,a(1)=11,a(2)=201} ogf] A064748 9.56943 [-(90*x^2-10*x+1)/(x-1)/(10*x-1)^2 ogf] A064749 11.0791 [-2*(-6-33*x+605*x^3-66*x^2)/(x-1)/(11*x-1)/(110*x^2-11*x+1) lgdogf] A064749 5.07972 [(5191700*f(x)-3368867)*(121*f(x)*x^3-143*f(x)*x^2+23*f(x)*x+110*x^2-f(x)-11*x+1) ogf] A064749 5.54536 [{a(n+3)-23*a(n+2)+143*a(n+1)-121*a(n),a(0)=1,a(1)=12,a(2)=243} ogf] A064749 9.64410 [-(110*x^2-11*x+1)/(x-1)/(-1+11*x)^2 ogf] A064750 11.2379 [-(-13-84*x+1584*x^3-156*x^2)/(x-1)/(12*x-1)/(132*x^2-12*x+1) lgdogf] A064750 5.71712 [{a(n+3)-25*a(n+2)+168*a(n+1)-144*a(n),a(0)=1,a(1)=13,a(2)=289} ogf] A064750 5.76622 [(29259494*f(x)-19658387)*(144*f(x)*x^3-168*f(x)*x^2+25*f(x)*x+132*x^2-f(x)-12*x+1) ogf] A064750 9.94283 [-(132*x^2-12*x+1)/(x-1)/(-1+12*x)^2 ogf] A064751 10.7070 [-(49-85*x-25*x^2+125*x^3)/(x-1)/(5*x-1)/(25*x^2-5*x-4) lgdogf] A064751 5.00135 [{-a(n+3)+11*a(n+2)-35*a(n+1)+25*a(n),a(0)=4,a(1)=49,a(2)=374} ogf] A064751 5.49781 [-(1242064*f(x)-1299945)*(25*f(x)*x^3-35*f(x)*x^2+11*f(x)*x-25*x^2-f(x)+5*x+4) ogf] A064751 9.07937 [(25*x^2-5*x-4)/(x-1)/(5*x-1)^2 ogf] A064752 10.2788 [-(71-126*x-36*x^2+216*x^3)/(x-1)/(6*x-1)/(36*x^2-6*x-5) lgdogf] A064752 4.40542 [-(3487325*f(x)-2017023)*(36*f(x)*x^3-48*f(x)*x^2+13*f(x)*x-36*x^2-f(x)+6*x+5) ogf] A064752 4.89076 [{-a(n+3)+13*a(n+2)-48*a(n+1)+36*a(n),a(0)=5,a(1)=71,a(2)=647} ogf] A064752 8.87862 [(36*x^2-6*x-5)/(x-1)/(6*x-1)^2 ogf] A064753 10.6736 [-(97-175*x-49*x^2+343*x^3)/(x-1)/(7*x-3)/(7*x+2)/(7*x-1) lgdogf] A064753 5.12184 [{-a(n+3)+15*a(n+2)-63*a(n+1)+49*a(n),a(0)=6,a(1)=97,a(2)=1028} ogf] A064753 5.15175 [-(29589228*f(x)-8377033)*(49*f(x)*x^3-63*f(x)*x^2+15*f(x)*x-49*x^2-f(x)+7*x+6) ogf] A064753 9.37691 [(7*x+2)*(7*x-3)/(x-1)/(7*x-1)^2 ogf] A064754 10.1679 [-(127-232*x+512*x^3-64*x^2)/(x-1)/(8*x-1)/(64*x^2-8*x-7) lgdogf] A064754 4.40125 [-(25658899*f(x)-2069454)*(64*f(x)*x^3-80*f(x)*x^2+17*f(x)*x-64*x^2-f(x)+8*x+7) ogf] A064754 4.84137 [{-a(n+3)+17*a(n+2)-80*a(n+1)+64*a(n),a(0)=7,a(1)=127,a(2)=1535} ogf] A064754 8.93791 [(64*x^2-8*x-7)/(x-1)/(8*x-1)^2 ogf] A064755 10.9727 [-(9*x+7)*(81*x^2-72*x+23)/(x-1)/(9*x-1)/(81*x^2-9*x-8) lgdogf] A064755 4.50812 [-(305868352*f(x)+20360655)*(81*f(x)*x^3-99*f(x)*x^2+19*f(x)*x-81*x^2-f(x)+9*x+8) ogf] A064755 5.03406 [{-a(n+3)+19*a(n+2)-99*a(n+1)+81*a(n),a(0)=8,a(1)=161,a(2)=2186} ogf] A064755 9.29365 [(81*x^2-9*x-8)/(x-1)/(9*x-1)^2 ogf] A064756 10.0926 [-(199-370*x+1000*x^3-100*x^2)/(x-1)/(10*x-1)/(100*x^2-10*x-9) lgdogf] A064756 4.545 [-(404783487*f(x)+72198355)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-100*x^2-f(x)+10*x+9) ogf] A064756 5.14107 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=9,a(1)=199,a(2)=2999} ogf] A064756 9.09000 [(100*x^2-10*x-9)/(x-1)/(10*x-1)^2 ogf] A064757 10.2562 [-(241-451*x+1331*x^3-121*x^2)/(x-1)/(11*x-1)/(121*x^2-11*x-10) lgdogf] A064757 4.69162 [-(52648300*f(x)+14011107)*(121*f(x)*x^3-143*f(x)*x^2+23*f(x)*x-121*x^2-f(x)+11*x+10) ogf] A064757 5.26376 [{-a(n+3)+23*a(n+2)-143*a(n+1)+121*a(n),a(0)=10,a(1)=241,a(2)=3992} ogf] A064757 9.24919 [(121*x^2-11*x-10)/(x-1)/(-1+11*x)^2 ogf] A064758 10.5825 [-(287-540*x+1728*x^3-144*x^2)/(x-1)/(12*x-1)/(144*x^2-12*x-11) lgdogf] A064758 5.42825 [{-a(n+3)+25*a(n+2)-168*a(n+1)+144*a(n),a(0)=11,a(1)=287,a(2)=5183} ogf] A064758 5.90648 [-(1083619372*f(x)+365019663)*(144*f(x)*x^3-168*f(x)*x^2+25*f(x)*x-144*x^2-f(x)+12*x+11) ogf] A064758 9.53821 [(144*x^2-12*x-11)/(x-1)/(-1+12*x)^2 ogf] A064761 12.6923 [-15*x*(x+1)/(x-1)^3 ogf] A064761 35.4144 [[4-x] ogf_with_Euler_transform] A064761 36.8888 [-2*(x+2)/(x-1)/(1+x) lgdogf] A064761 6.62693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=60} ogf] A064761 8.60739 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+15*x ogf] A064762 12.1458 [-21*x*(x+1)/(x-1)^3 ogf] A064762 33.8739 [[4-x] ogf_with_Euler_transform] A064762 35.2846 [-2*(x+2)/(x-1)/(x+1) lgdogf] A064762 6.34164 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=84} ogf] A064762 6.51459 [(4*f(x)+21)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+21*x) ogf] A064763 12.4541 [-28*x*(x+1)/(x-1)^3 ogf] A064763 34.7336 [[4-x] ogf_with_Euler_transform] A064763 36.1940 [-2*(x+2)/(x-1)/(1+x) lgdogf] A064763 6.44555 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=28,a(2)=112} ogf] A064763 6.74121 [(f(x)+7)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)+28*x) ogf] A064776 5.07056 [(480*x^12+320*x^11-480*x^10-80*x^9-80*x^8-80*x^7-24*x^6-24*x^5-21*x^4-5*x^3-3*x^2-3*x-2)/(400*x^11-1) ogf] A064796 10.4321 [-(x^5-x^4-2*x^3+2*x^2+1)/(x+1)/(x-1)^3 ogf] A064796 11.8404 [(-2-8*x-2*x^5-x^4+4*x^3+x^6+2*x^2)/(x-1)/(1+x)/(x^5-x^4-2*x^3+2*x^2+1) lgdogf] A064806 7.12659 [-(9*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A064808 11.9558 [(3*x^2-x+1)/(x-1)^4 ogf] A064808 23.5940 [-3*(1+x+2*x^2)/(x-1)/(3*x^2-x+1) lgdogf] A064808 4.18758 [{(n+4)*a(n+4)+(-9-2*n)*a(n+3)+(5+4*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=22} ogf] A064808 6.02156 [(18090*f(x)+18241)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+x-1) ogf] A064815 3.22341 [{(-4*n^2+2*n+2)*a(n)+(-4*n^2-10*n-6)*a(n+1)+(n^2+3*n+2)*a(n+2),a(0)=1,a(1)=1,a(2)=3} egf] A064817 6.23974 [-x^2*(x^23-2*x^22+2*x^21-x^20-x^16+x^15+x^13-x^11-x^2+x-1)/(x-1)^2 ogf] A064831 15.8483 [-x/(x-1)/(x+1)/(x^2-3*x+1) ogf] A064831 15.9946 [-(3-9*x^2+4*x^3)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A064831 6.24788 [-(24*f(x)-1)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-f(x)+x) ogf] A064835 11.5270 [-(-5-24*x-24*x^2-16*x^3+9*x^4)/(x-1)/(x+1)/(3*x^3-7*x^2-x-1) lgdogf] A064835 8.75128 [2*x^2*(3*x^3-7*x^2-x-1)/(x+1)/(x-1)^5 ogf] A064836 12.0040 [-(-5-24*x+9*x^4-16*x^3-24*x^2)/(x-1)/(1+x)/(3*x^3-7*x^2-x-1) lgdogf] A064836 7.82277 [x^2*(3*x^3-7*x^2-x-1)/(x+1)/(x-1)^5 ogf] A064837 5.57320 [-2*x*(x^5+2*x^4-x^3-21*x^2-4*x-1)/(x+1)/(x-1)^6 ogf] A064837 7.69687 [-(-9-69*x+11*x^5+2*x^6+11*x^4-102*x^3-132*x^2)/(x-1)/(x+1)/(x^5+2*x^4-x^3-21*x^2-4*x-1) lgdogf] A064838 5.53950 [-x*(x^5+2*x^4-x^3-21*x^2-4*x-1)/(x+1)/(x-1)^6 ogf] A064838 7.64853 [-(-9-69*x+2*x^6-132*x^2-102*x^3+11*x^4+11*x^5)/(x-1)/(x+1)/(x^5+2*x^4-x^3-21*x^2-4*x-1) lgdogf] A064842 10.2451 [-2*x*(x^3-2*x^2-1)/(x+1)/(x-1)^4 ogf] A064842 15.4421 [-(-3-9*x-3*x^2-3*x^3+2*x^4)/(x-1)/(x+1)/(x^3-2*x^2-1) lgdogf] A064843 13.8516 [-(-3-9*x-3*x^2-3*x^3+2*x^4)/(x-1)/(x+1)/(x^3-2*x^2-1) lgdogf] A064843 9.20352 [-x*(x^3-2*x^2-1)/(x+1)/(x-1)^4 ogf] A064867 5.41338 [(48*x^9-x^8-33*x^7-22*x^6+4*x^5+4*x^4-45*x^3+5*x^2+37*x+26)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A064873 7.39860 [-x^7*(x^2-x+1)*(x^22+x^21+x^14+x^13-x^11-x^10+x^8+x^7+x^6-x^4-x^3+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x^16+1) ogf] A064878 4.02721 [100*f(x)^2*x^2+180*f(x)^2*x+81*f(x)^2-541*f(x)*x-162*f(x)+361*x+81 ogf] A064985 23.9379 [x^23+x^5+x+2 ogf_with_Euler_transform] A064986 25.2244 [x^23+x^5+x+1 ogf_with_Euler_transform] A064999 17.9590 [-(-3-3*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2+x-1) lgdogf] A064999 4.15067 [{(9*n^2+57*n+78)*a(n+1)+(-14*n^2-64*n-54)*a(n+2)+(5*n^2+19*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A064999 5.40483 [(38*f(x)+97)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+x-1) ogf] A064999 9.75678 [-(x^3-3*x^2+x-1)/(x-1)^4 ogf] A065014 10.1314 [-(2+22*x+6*x^5+2*x^4+20*x^3+x^6+7*x^2)/(x-1)/(1+x)/(x^5+3*x^4-x^3+2*x^2+2*x+3) lgdogf] A065014 9.05678 [-(x^5+3*x^4-x^3+2*x^2+2*x+3)/(x+1)^3/(x-1)^3 ogf] A065026 4.42757 [(x-1)*(804*x^15+720*x^14+552*x^13+402*x^12-42*x^10-18*x^9-8*x^8-10*x^7-25*x^6-14*x^5-15*x^4-10*x^3-5*x^2-3*x-1)/(2*x^6-4*x^4-2*x^2+1) ogf] A065031 8.71158 [-(20*x^21+20*x^20+11*x^11+12*x^10+x+2)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A065033 10.5618 [(x^3-x^2+1)/(x+1)/(x-1)^2 ogf] A065033 18.6131 [-(1+x+2*x^2)/(x-1)/(x+1)/(x^3-x^2+1) lgdogf] A065033 5.20087 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A065033 7.70288 [f(x)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x+x^2+f(x)-1) ogf] A065034 10.6980 [-(8-26*x+3*x^4-16*x^3+32*x^2)/(x-1)/(x-2)/(3*x-2)/(x^2-3*x+1) lgdogf] A065034 12.8800 [-(2*x-1)*(2*x-3)/(x-1)/(x^2-3*x+1) ogf] A065034 6.4932 [-(1015*f(x)+2747)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-8*x+3) ogf] A065034 7.01497 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=8} ogf] A065039 6.29525 [x*(2*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A065065 29.8042 [x/(1+3*x+4*x^2+x^3) revogf] A065065 7.51246 [-x^3*f(x)^3-4*f(x)^2*x^2-3*f(x)*x+f(x)-1 ogf] A065087 4.40239 [{(n^2+7*n+12)*a(n+1)+(n^2+5*n+4)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A065088 27.4627 [-(2+3*x+x^3)/(x-1)/(1+x^2) lgdegf] A065088 3.71243 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-n^3-5*n^2-6*n)*a(n+2)+(n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A065096 15.8180 [-2*((1-6*x+x^2)^(1/2)-1)/(1-6*x+x^2)^(1/2)/x lgdogf] A065096 4.00868 [{(n^2+5*n+6)*a(n+1)+(-6*n^2-39*n-63)*a(n+2)+(n^2+8*n+12)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A065096 9.1627 [4*x^3*f(x)^2-5*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A065097 28.1654 [x*(1+x)/(2*x+1)^4 revogf] A065097 5.59046 [{(32*n^2+160*n+198)*a(n+1)+(-2*n^2-13*n-21)*a(n+2),a(0)=1,a(1)=7} ogf] A065100 13.3169 [-1/2*(-3-9*x+(7*x+3)^(1/2)*(11*x+3)^(1/2))/x revogf] A065100 18.1128 [3/(x^2-9*x+1) ogf] A065100 27.9021 [-(-9+2*x)/(x^2+1-9*x) lgdogf] A065100 6.95025 [(6319*f(x)+726)*(f(x)*x^2-9*f(x)*x+f(x)-3) ogf] A065100 7.20146 [{-a(n+2)+9*a(n+1)-a(n),a(0)=3,a(1)=27} ogf] A065101 12.7858 [-(-1-6*x+(7*x+1)^(1/2)*(5*x+1)^(1/2))/x revogf] A065101 14.9994 [2/(x^2-12*x+1) ogf] A065101 22.6657 [-2*(-6+x)/(x^2+1-12*x) lgdogf] A065101 5.79521 [(20305*f(x)+862)*(f(x)*x^2-12*f(x)*x+f(x)-2) ogf] A065101 6.07117 [{-a(n+2)+12*a(n+1)-a(n),a(0)=2,a(1)=24} ogf] A065102 10.9698 [-1/2*(-3-18*x+(16*x+3)^(1/2)*(20*x+3)^(1/2))/x revogf] A065102 15.1677 [3/(x^2-18*x+1) ogf] A065102 22.9369 [-2*(-9+x)/(x^2+1-18*x) lgdogf] A065102 5.73002 [(104005*f(x)+2913)*(f(x)*x^2-18*f(x)*x+f(x)-3) ogf] A065102 6.13931 [{-a(n+2)+18*a(n+1)-a(n),a(0)=3,a(1)=54} ogf] A065113 12.1741 [-2*(-10+21*x-8*x^2+x^3)/(x-1)/(x-3)/(x^2-6*x+1) lgdogf] A065113 13.4723 [2*(x-3)/(x-1)/(x^2-6*x+1) ogf] A065113 6.20896 [-(133836*f(x)+2165)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)-2*x+6) ogf] A065113 6.20896 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=6,a(1)=40,a(2)=238} ogf] A065140 4.55409 [{(8*n^2+28*n+24)*a(n+1)-a(n+2),a(0)=1,a(1)=4} ogf] A065141 5.81670 [{(8*n^2+36*n+36)*a(n+1)-a(n+2),a(0)=1,a(1)=8} ogf] A065164 13.0160 [(3*x^3-5*x^2+2*x+2)/(x+1)/(x-1)^2 ogf] A065164 17.6199 [2*(-2+x+x^3-4*x^2)/(x-1)/(x+1)/(3*x^3-5*x^2+2*x+2) lgdogf] A065164 6.80380 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=2,a(1)=4,a(2)=1,a(3)=6} ogf] A065164 7.07165 [-(141+700*f(x))*(f(x)*x^3-f(x)*x^2-3*x^3-f(x)*x+5*x^2+f(x)-2*x-2) ogf] A065165 10.5659 [(3*x^5-3*x^4+4*x^3-8*x^2+2*x+4)/(x+1)/(x-1)^2 ogf] A065165 10.7438 [2*(-3+x-3*x^5+3*x^6+8*x^3-6*x^4-4*x^2)/(x-1)/(x+1)/(3*x^5-3*x^4+4*x^3-8*x^2+2*x+4) lgdogf] A065166 8.31126 [2*(-4-6*x^7+6*x^8+5*x^5-5*x^6+11*x^3-8*x^4-3*x^2)/(x-1)/(x+1)/(3*x^7-3*x^6+4*x^5-4*x^4+4*x^3-10*x^2+2*x+6) lgdogf] A065166 8.80491 [(3*x^7-3*x^6+4*x^5-4*x^4+4*x^3-10*x^2+2*x+6)/(x+1)/(x-1)^2 ogf] A065168 11.6636 [(x^4-x^3+x^2-2*x+3)/(x+1)/(x-1)^2 ogf] A065168 14.6832 [(-1-9*x+x^5-4*x^3-x^4+6*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-2*x+3) lgdogf] A065168 6.23681 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=3,a(1)=1,a(2)=5,a(3)=2,a(4)=7} ogf] A065168 6.85572 [(68*f(x)+3115)*(f(x)*x^3-x^4-f(x)*x^2+x^3-f(x)*x-x^2+f(x)+2*x-3) ogf] A065169 10.1264 [(-3-11*x+3*x^7-x^5-3*x^6-11*x^3+x^4+17*x^2)/(x-1)/(x+1)/(x^6-x^5+4*x^4-4*x^3-x^2-2*x+5) lgdogf] A065169 9.65700 [(x^6-x^5+4*x^4-4*x^3-x^2-2*x+5)/(x+1)/(x-1)^2 ogf] A065170 7.46605 [(-5-13*x+5*x^7-5*x^8+5*x^9-16*x^5-5*x^6-9*x^3+16*x^4+19*x^2)/(x-1)/(x+1)/(x^8-x^7+4*x^6-4*x^5+4*x^4-4*x^3-3*x^2-2*x+7) lgdogf] A065170 8.23946 [(x^8-x^7+4*x^6-4*x^5+4*x^4-4*x^3-3*x^2-2*x+7)/(x+1)/(x-1)^2 ogf] A065171 10.0382 [(2*x^6+4*x^5+x^4+8*x^3+2*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A065171 7.96783 [-4*(1+x+12*x^4+3*x^3+6*x^2+6*x^5+10*x^6+x^7+3*x^8+x^9)/(x-1)/(x+1)/(x^2+1)/(2*x^6+4*x^5+x^4+8*x^3+2*x^2+4*x+1) lgdogf] A065172 10.0382 [(3*x^6+x^5+7*x^4+2*x^3+5*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A065172 7.42763 [-(3+10*x+26*x^4+36*x^3+6*x^2+48*x^5+10*x^6+28*x^7+3*x^8+6*x^9)/(x-1)/(x+1)/(x^2+1)/(3*x^6+x^5+7*x^4+2*x^3+5*x^2+3*x+1) lgdogf] A065173 10.6485 [x*(2*x^5+x^4+x^3+2*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A065173 8.83297 [-(2+4*x+4*x^7+6*x^8+12*x^5+5*x^6+12*x^3+24*x^4+3*x^2)/(x-1)/(x+1)/(2*x^5+x^4+x^3+2*x^2+2*x+1)/(1+x^2) lgdogf] A065186 10.5659 [(x^5+2*x^4-3*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A065186 7.93688 [-(3+7*x-6*x^7+5*x^8+x^9+12*x^5+8*x^6+10*x^3+14*x^4-4*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+2*x^4-3*x^3+2*x^2+2*x+1) lgdogf] A065187 10.5659 [(2*x^5-2*x^4+3*x^3-2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A065187 7.93688 [-(4+9*x^7-2*x^8+2*x^9+16*x^5-5*x^6-3*x^3+18*x^4+11*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^5-2*x^4+3*x^3-2*x^2+3*x+1) lgdogf] A065190 13.0160 [(x^3-2*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A065190 19.1520 [(-3-x+x^3-5*x^2)/(x-1)/(x+1)/(x^3-2*x^2+2*x+1) lgdogf] A065190 6.80380 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=2,a(3)=5} ogf] A065190 7.30163 [-(4*f(x)+7)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x+2*x^2+f(x)-2*x-1) ogf] A065220 13.0279 [-x^2*(2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A065220 21.5821 [-(3*x-1)*(2*x^2-1)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A065220 6.42091 [{a(n+4)-3*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=-1,a(3)=-1} ogf] A065220 8.40119 [-f(x)*x^4+f(x)*x^3+2*f(x)*x^2-2*x^3-3*f(x)*x+x^2+f(x) ogf] A065259 10.0382 [(x^6+3*x^5+5*x^4+2*x^3+7*x^2+x+3)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A065259 7.55570 [-(1+14*x+22*x^4+44*x^3+6*x^2+48*x^5+10*x^6+20*x^7+9*x^8+2*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+3*x^5+5*x^4+2*x^3+7*x^2+x+3) lgdogf] A065260 10.0382 [(x^6+4*x^5+2*x^4+8*x^3+x^2+4*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A065260 7.82554 [-2*(2+x+24*x^4+12*x^3+12*x^2+6*x^5+20*x^6+4*x^7+6*x^8+x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+4*x^5+2*x^4+8*x^3+x^2+4*x+2) lgdogf] A065261 11.2278 [(x^5+3*x^4+2*x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A065261 8.92130 [-(1+2*x+12*x^7+3*x^8+6*x^5+10*x^6+20*x^3+12*x^4+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^5+3*x^4+2*x^3+x^2+x+1) lgdogf] A065262 15.7269 [(3*x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A065262 19.5431 [-(1+10*x+6*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+x+1) lgdogf] A065262 8.87557 [-(690*f(x)+799)*(f(x)*x^4-2*f(x)*x^2-3*x^2+f(x)-x-1) ogf] A065320 5.40615 [-3*(2536*x^8-330*x^7-330*x^6-330*x^5-330*x^4-330*x^3-330*x^2-330*x-3559)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A065340 10.0143 [-2*(-7+21*x+108*x^4-141*x^3+31*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(9*x^2-4*x-1) lgdogf] A065340 7.97723 [-2*(9*x^2-4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A065423 15.9823 [x^2*(x+2)/(x-1)^2/(x+1)^2 ogf] A065423 6.03305 [{(3*n^2+17*n+22)*a(n+1)+4*a(n+2)+(-3*n^2-11*n-8)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A065423 9.0197 [-(132*f(x)+175)*(f(x)*x^4-2*f(x)*x^2-x^3-2*x^2+f(x)) ogf] A065424 3.03321 [{(576*n^3+4320*n^2+10736*n+8840)*a(n+1)+(-9*n^3-81*n^2-236*n-220)*a(n+2),a(0)=1,a(1)=33} ogf] A065438 5.56381 [(x^11+x^10+11*x^9+11*x^8+11*x^7+11*x^6+11*x^5+11*x^4+11*x^3+11*x^2+11*x+10)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A065450 9.13429 [-(2*x^6-2*x^5-4*x^4+4*x^3+6*x^2+1)/(x+1)/(x-1)^3 ogf] A065450 9.38197 [2*(x^3-x^2-2*x-1)*(2*x^4-x^3-x^2+6*x+1)/(x-1)/(x+1)/(2*x^6-2*x^5-4*x^4+4*x^3+6*x^2+1) lgdogf] A065455 12.9300 [-(x+1)^2/(x^3+3*x^2-1) ogf] A065455 19.0238 [-(2+6*x+x^3+3*x^2)/(1+x)/(x^3+3*x^2-1) lgdogf] A065455 7.84052 [{a(n+3)-3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A065455 8.281 [-f(x)*(f(x)*x^3+3*f(x)*x^2+x^2-f(x)+2*x+1) ogf] A065475 10.3844 [(2*f(x)+7)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A065475 18.2218 [-(x^2-x-1)/(x-1)^2 ogf] A065475 43.1104 [-(x-3)/(x-1)/(x^2-x-1) lgdogf] A065475 9.46817 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=4} ogf] A065494 11.0812 [(x+1)^2/(x^4-2*x^3-3*x^2+1) ogf] A065494 13.8489 [-2*(-1-3*x-3*x^2+x^3+x^4)/(x+1)/(x^4-2*x^3-3*x^2+1) lgdogf] A065494 6.73159 [-f(x)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-x^2+f(x)-2*x-1) ogf] A065495 13.4660 [1/(2*x-1)/(2*x^3+2*x^2-1) ogf] A065495 13.7495 [-2*(-1-2*x+3*x^2+8*x^3)/(2*x-1)/(2*x^3+2*x^2-1) lgdogf] A065495 5.36449 [-(63*f(x)-32)*(4*f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A065497 11.6954 [-2*(1+3*x+5*x^4-10*x^3-6*x^2)/(2*x-1)/(x^4-2*x^3-3*x^2+1) lgdogf] A065497 11.9340 [-1/(2*x-1)/(x^4-2*x^3-3*x^2+1) ogf] A065497 6.14853 [2*f(x)*x^5-5*f(x)*x^4-4*f(x)*x^3+x^4+3*f(x)*x^2+2*f(x)*x-f(x) ogf] A065502 10.0036 [(2*x^4+x^2+2)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A065502 11.4926 [-2*(2-x+5*x^4+2*x^6+x^5+2*x^8+4*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^4+x^2+2) lgdogf] A065506 13.6742 [1/(2*x-1)/(x^3+3*x^2-1) ogf] A065506 14.5874 [-(-2-6*x+15*x^2+8*x^3)/(-1+2*x)/(x^3+3*x^2-1) lgdogf] A065506 5.36029 [(195329*f(x)+5312)*(2*f(x)*x^4+5*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A065530 12.1225 [x*(x^4-8*x-1)/(x+1)^3/(x-1)^3 ogf] A065530 15.8513 [-2*(-4-3*x+x^5-20*x^2+2*x^3)/(x-1)/(x+1)/(x^4-8*x-1) lgdogf] A065532 11.5779 [-(47*x^2+50*x-1)/(x-1)^3 ogf] A065532 17.9643 [-(47+194*x+47*x^2)/(x-1)/(47*x^2+50*x-1) lgdogf] A065532 6.34266 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=47,a(2)=191} ogf] A065532 6.99389 [(1108*f(x)-36917)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+47*x^2-f(x)+50*x-1) ogf] A065563 11.6702 [2/(x^2+4*x-1)/(x^2-x-1) ogf] A065563 12.7154 [-(-3-12*x+4*x^3+9*x^2)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A065563 4.64913 [-(187*f(x)+4)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-2) ogf] A065599 11.9459 [-2*(1+9*x+x^5+2*x^2+14*x^3-3*x^4)/(x-1)/(x+1)/(x^4-2*x^3+6*x^2+2*x+1) lgdogf] A065599 9.84060 [-x*(x^4-2*x^3+6*x^2+2*x+1)/(x+1)^3/(x-1)^3 ogf] A065601 7.97517 [x^3*f(x)^2+4*f(x)^2*x^2+4*f(x)^2*x-2*f(x)*x^2-f(x)+x ogf] A065678 7.63302 [x*(x-1)*(x^8+x^6+x^5+x^4+x^3+3*x^2+2*x+1)/(x^9+x^6+3*x^3-1) ogf] A065679 10.8630 [x*(x^2+1)*(x^2-4*x-1)/(x+1)^3/(x-1)^3 ogf] A065679 12.4889 [-2*(-2-3*x+x^5-16*x^2+2*x^3-6*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2-4*x-1) lgdogf] A065685 19.4080 [-x^17*(x+1)/(x-1) ogf] A065685 36.0251 [a(n+2)-a(n),a(0)=2,a(1)=0 lgdogf] A065685 43.3476 [[2-x] ogf_with_Euler_transform] A065686 15.2708 [-x^3*(x^18+x^17+x^16+1)/(x-1) ogf] A065687 18.9129 [-x^22*(x+1)/(x-1) ogf] A065687 36.0251 [a(n+2)-a(n),a(0)=2,a(1)=0 lgdogf] A065692 10.0973 [3*(x-1)*x/(4*x-1)/(13*x^2-5*x+1) ogf] A065692 10.4703 [-(-8+66*x-189*x^2+104*x^3)/(x-1)/(-1+4*x)/(13*x^2-5*x+1) lgdogf] A065692 5.04868 [-(843*f(x)-1975)*(52*f(x)*x^3-33*f(x)*x^2+9*f(x)*x-3*x^2-f(x)+3*x) ogf] A065692 5.22582 [{a(n+3)-9*a(n+2)+33*a(n+1)-52*a(n),a(0)=0,a(1)=3,a(2)=24} ogf] A065693 5.13572 [(71*f(x)-79)*(52*f(x)*x^3-33*f(x)*x^2+9*f(x)*x+25*x^2-f(x)-8*x+1) ogf] A065693 5.22582 [{-a(n+3)+9*a(n+2)-33*a(n+1)+52*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A065693 8.10002 [-(1-16*x+195*x^2-832*x^3+1300*x^4)/(4*x-1)/(25*x^2-8*x+1)/(13*x^2-5*x+1) lgdogf] A065693 9.30848 [-(25*x^2-8*x+1)/(4*x-1)/(13*x^2-5*x+1) ogf] A065694 5.40269 [(891*f(x)-6491)*(52*f(x)*x^3-33*f(x)*x^2+9*f(x)*x+17*x^2-f(x)-10*x+2) ogf] A065694 5.63758 [{a(n+3)-9*a(n+2)+33*a(n+1)-52*a(n),a(0)=2,a(1)=8,a(2)=23} ogf] A065694 8.58932 [-(8-98*x+884*x^4-1040*x^3+489*x^2)/(-1+4*x)/(17*x^2-10*x+2)/(13*x^2-5*x+1) lgdogf] A065694 9.97418 [-(17*x^2-10*x+2)/(4*x-1)/(13*x^2-5*x+1) ogf] A065705 13.5955 [-(123*x-2)/(x^2-123*x+1) ogf] A065705 15.6035 [-(123-4*x+123*x^2)/(123*x-2)/(x^2-123*x+1) lgdogf] A065705 6.59585 [-(15125*f(x)-15121)*(f(x)*x^2-123*f(x)*x+f(x)+123*x-2) ogf] A065705 7.74628 [{a(n+2)-123*a(n+1)+a(n),a(0)=2,a(1)=123} ogf] A065707 2.94365 [{(-3-n)*a(n+1)+(4*n^2+17*n+13)*a(n+2)+(4*n^2+31*n+55)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=-9,a(3)=126} ogf] A065759 8.41380 [-(3442*x^4+2361*x^3+1642*x^2+1461*x+655)/(10*x^5-1) ogf] A065866 11.7778 [-f(x)^2*x^2-2*f(x)*x+f(x)-1 egf] A065866 17.9553 [4/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A065866 5.29901 [{(4*n^2+18*n+20)*a(n+1)+(-n-4)*a(n+2),a(0)=1,a(1)=2} ogf] A065874 17.4842 [1/84/x*(-1-x+(1+2*x+169*x^2)^(1/2)) revogf] A065874 18.3567 [-1/(6*x+1)/(7*x-1) ogf] A065874 24.4779 [-(1+84*x)/(6*x+1)/(7*x-1) lgdogf] A065874 7.09235 [(1891*f(x)-1890)*(42*f(x)*x^2+f(x)*x-f(x)+1) ogf] A065874 7.51960 [{-a(n+2)+a(n+1)+42*a(n),a(0)=1,a(1)=1} ogf] A065885 7.02216 [(x^9+14*x^8-29*x^7-37*x^6+x^5-6*x^4-7*x^3-6*x^2-x+2)/(x^2-3*x+1)/(x+1) ogf] A065919 14.6812 [15+8*x+(-8+64*x)*f(x)+(64*x^2+1-16*x)*f(x)^2 lgdegf] A065919 2.97423 [{(n+2)*a(n+1)+(8*n^2+37*n+44)*a(n+2)+(8*n^2+59*n+110)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=5,a(2)=61,a(3)=1225} ogf] A065919 29.3624 [-ln(1+x)*(2*ln(1+x)-1) revegf] A065921 2.85920 [{(-3-n)*a(n+1)+(-6*n^2-28*n-37)*a(n+2)+(-6*n^2-44*n-85)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=21,a(3)=501} ogf] A065922 3.05314 [{(-3-n)*a(n+1)+(-8*n^2-37*n-47)*a(n+2)+(-8*n^2-59*n-113)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=27,a(3)=846} ogf] A065923 14.5033 [8-6*x+(6+36*x)*f(x)+(1+12*x+36*x^2)*f(x)^2 lgdegf] A065923 24.3656 [1/2*ln(1+x)*(3*ln(1+x)+2) revegf] A065928 14.0801 [(3*x-2)/(x-1)/(x^2-6*x+1) ogf] A065928 6.54603 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=2,a(1)=11,a(2)=63} ogf] A065928 6.84631 [(9161*f(x)+1286)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)-3*x+2) ogf] A065928 9.65776 [-(-11+28*x+6*x^3-27*x^2)/(x-1)/(3*x-2)/(x^2-6*x+1) lgdogf] A065929 11.9384 [(4*x-3)/(x-1)/(x^2-12*x+1) ogf] A065929 5.61205 [{a(n+3)-13*a(n+2)+13*a(n+1)-a(n),a(0)=3,a(1)=35,a(2)=416} ogf] A065929 5.70965 [(1873473*f(x)+94565)*(f(x)*x^3-13*f(x)*x^2+13*f(x)*x-f(x)-4*x+3) ogf] A065929 9.88846 [-(-35+78*x+8*x^3-61*x^2)/(x-1)/(4*x-3)/(x^2-12*x+1) lgdogf] A065930 4.51133 [{a(n+3)-21*a(n+2)+21*a(n+1)-a(n),a(0)=4,a(1)=79,a(2)=1575} ogf] A065930 4.54989 [(23439478*f(x)+551283)*(f(x)*x^3-21*f(x)*x^2+21*f(x)*x-f(x)-5*x+4) ogf] A065930 9.65272 [-(-79+168*x-117*x^2+10*x^3)/(x-1)/(5*x-4)/(x^2-20*x+1) lgdogf] A065930 9.67885 [(5*x-4)/(x-1)/(x^2-20*x+1) ogf] A065942 9.4682 [-27*f(x)^3*x^2+4*f(x)^3-9*f(x)*x-4*f(x)+x ogf] A065944 2.98462 [{(-n^2-7*n-12)*a(n+1)+(2*n^3+15*n^2+33*n+20)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A065945 3.20276 [{(-n^2-7*n-12)*a(n+1)+(-4*n^3-30*n^2-78*n-70)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A065946 3.14117 [{(n^2+7*n+12)*a(n+1)+(-4*n^3-30*n^2-70*n-50)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A065947 3.42727 [{(-n^2-7*n-12)*a(n+1)+(-6*n^3-45*n^2-115*n-100)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A065948 3.41517 [{(n^2+7*n+12)*a(n+1)+(-6*n^3-45*n^2-107*n-80)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A065949 10.0205 [-90*x^3/(x-1)^7 ogf] A065949 102.273 [-7/(x-1) lgdogf] A065949 6.52127 [{(-1+n)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=90} ogf] A065950 3.16134 [{(n^2+8*n+15)*a(n+1)+(2*n^3+15*n^2+43*n+45)*a(n+2)+(-n^2-2*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=90} ogf] A065951 3.04091 [{(-n^2-8*n-15)*a(n+1)+(2*n^3+15*n^2+31*n+15)*a(n+2)+(n^2+2*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=90} ogf] A065961 5.29967 [{(-27*n^3-216*n^2-573*n-504)*a(n+1)+a(n+2),a(0)=1,a(1)=120} ogf] A065982 3.85907 [64*f(x)^2*x^4-48*x^3*f(x)^2+12*f(x)^2*x^2+64*f(x)*x^3-f(x)^2*x-64*f(x)*x^2+20*f(x)*x+16*x^2-2*f(x)-16*x+4 ogf] A066021 4.74284 [-(335*x^11-1340*x^10+2107*x^9-1728*x^8+917*x^7-388*x^6+98*x^5-6*x^4+14*x^3-17*x^2+5*x-3)/(x-1)^4 ogf] A066023 15.9328 [-2*(4+7*x+x^2)/(x-1)/(2*x^4-8*x^3+13*x^2-4*x+3) lgdogf] A066023 5.15945 [(23*f(x)+25)*(f(x)*x^4-4*f(x)*x^3-2*x^4+6*f(x)*x^2+8*x^3-4*f(x)*x-13*x^2+f(x)+4*x-3) ogf] A066023 8.87905 [(2*x^4-8*x^3+13*x^2-4*x+3)/(x-1)^4 ogf] A066043 13.6323 [-(x^4-4*x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A066043 17.0435 [2*(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(x^4-4*x^2-2*x-1) lgdogf] A066043 8.20460 [{(n+3)*a(n)+(-n-1)*a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A066043 8.3594 [-(7*f(x)+16)*(f(x)*x^4+x^4-2*f(x)*x^2-4*x^2+f(x)-2*x-1) ogf] A066052 3.57136 [{(-n^3-10*n^2-33*n-36)*a(n+1)+(-n-4)*a(n+2)+(n^2+8*n+14)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=14} ogf] A066067 6.22755 [-(x^7+x^4-3*x^3+2*x^2+x-1)/(x^2+x-1)/(x^4+x^2-1)/(x-1)^2 ogf] A066070 13.6972 [-(2*x^3-x^2-6*x-1)/(x-1)^2/(x+1)^2 ogf] A066070 15.8807 [-2*(-3-3*x+x^4-x^3-6*x^2)/(x-1)/(x+1)/(2*x^3-x^2-6*x-1) lgdogf] A066070 8.24367 [-(24*f(x)-169)*(f(x)*x^4-2*f(x)*x^2+2*x^3-x^2+f(x)-6*x-1) ogf] A066104 16.6392 [2*x*(x+2)/(x-1)^2/(x+1)^2 ogf] A066104 27.1631 [-(1+8*x+3*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A066104 4.49938 [{(-6-2*n)*a(n+4)+(-1-n)*a(n+3)+(10+2*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=4,a(2)=2,a(3)=8} ogf] A066104 9.38167 [-(6*f(x)-25)*(f(x)*x^4-2*f(x)*x^2-2*x^2+f(x)-4*x) ogf] A066106 11.9594 [4*x*(x^2-2*x-1)/(x+1)^3/(x-1)^3 ogf] A066106 17.3004 [-2*(-1-2*x-5*x^2+2*x^3)/(x-1)/(x+1)/(x^2-2*x-1) lgdogf] A066107 10.2143 [-2*(3+15*x+x^6-x^5+3*x^2+10*x^3-7*x^4)/(x-1)/(x+1)/(2*x^5-x^4-8*x^3+6*x^2+6*x+3) lgdogf] A066107 4.53127 [{(n^3+8*n^2+15*n)*a(n)+(-8-4*n)*a(n+1)+(-n^3-4*n^2+n+4)*a(n+2),a(0)=0,a(1)=3,a(2)=6,a(3)=15} ogf] A066107 8.91637 [-x*(2*x^5-x^4-8*x^3+6*x^2+6*x+3)/(x+1)^3/(x-1)^3 ogf] A066114 13.1101 [1/2*(x^2+2)/(x-1)^2 egf] A066114 28.6462 [-2*(x+2)/(x-1)/(x^2+2) lgdegf] A066114 3.24441 [{(-n^2-n)*a(n)+(2*n^2+9*n+5)*a(n+1)+(-3*n^2-23*n-40)*a(n+2)+(3*n+9)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A066114 9.58797 [-2*f(x)*x^2+4*f(x)*x+x^2-2*f(x)+2 egf] A066118 13.3270 [-(2*x+1)/(x-1)^3 egf] A066118 21.6922 [-(-1-2*x+(1+6*x)^(1/2))/(-1+2*x) revegf] A066118 31.5523 [-(4*x+5)/(2*x+1)/(x-1) lgdegf] A066118 4.13058 [{(-2*n^2-10*n-12)*a(n+1)+(-3*n^2-22*n-47)*a(n+2)+(3*n+9)*a(n+3),a(0)=1,a(1)=5,a(2)=24} ogf] A066118 6.2507 [-(1053*f(x)-2005)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) egf] A066138 10.3035 [-3*(370*x^2-74*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A066138 5.69001 [(977801*f(x)-444561)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1110*x^2-f(x)-222*x+3) ogf] A066138 6.05129 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=111,a(2)=10101} ogf] A066164 13.1334 [-f(x)*x^2+2*f(x)*x-f(x)+180 ogf] A066164 22.8896 [180/(x-1)^2 ogf] A066164 30.2343 [5*x/(15+(225+5*x)^(1/2))^2 revogf] A066164 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=180,a(1)=360} ogf] A066178 8.93847 [-(1+2*x+4*x^3+3*x^2+5*x^4+6*x^5+7*x^6)/(x^2-1+x+x^4+x^3+x^6+x^5+x^7) lgdogf] A066178 9.00800 [-1/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A066223 14.2597 [-10+10*x+(1-16*x+20*x^2)*f(x)+(2-8*x+8*x^2)*f(x)^2 lgdegf] A066223 4.96553 [{(-4*n^2-14*n-12)*a(n+1)+(4*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A066224 24.0148 [-2*(-2+3*x)/(2*x-1)^2 lgdegf] A066224 3.53181 [{(-4*n^2-18*n-20)*a(n+1)+(4*n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=26} ogf] A066258 10.7827 [-(2+12*x-15*x^2+2*x^3+3*x^4)/(x-1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A066258 4.6467 [-(317*f(x)-20)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+x^2+f(x)-x) ogf] A066258 9.43637 [-(x-1)*x/(x^2+4*x-1)/(x^2-x-1) ogf] A066259 10.1261 [(x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A066259 12.1030 [-(3*x+1)*(x-1)*(x+2)^2/(x+1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A066259 4.90232 [(9998*f(x)-245)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-x-1) ogf] A066280 5.34661 [-(5*f(x)+3)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+15*x^2-f(x)-18*x+5) ogf] A066280 5.48609 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=5,a(1)=12,a(2)=32} ogf] A066280 8.58368 [-2*(6-40*x+99*x^2-108*x^3+45*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(15*x^2-18*x+5) lgdogf] A066280 9.85781 [-(15*x^2-18*x+5)/(x-1)/(3*x-1)/(2*x-1) ogf] A066310 5.53606 [-(3*x^29-2*x^28+3*x^22-3*x^21+4*x^16-3*x^14-3*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A066318 17.0245 [-2*f(x)*x+f(x)-2 egf] A066318 27.9202 [-2/(2*x-1) egf] A066318 52.3157 [-2/(2*x-1) lgdegf] A066318 7.93188 [{(-2*n-4)*a(n+1)+a(n+2),a(0)=2,a(1)=4} ogf] A066323 5.48481 [-x*(4*x^15-x^14-x^13-x^12+4*x^11-x^10-x^9-x^8+4*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A066342 7.61269 [-(3*x^5-2*x^4-2*x^3+3*x^2-1)/(x-1)^2/(2*x^2-1)^2 ogf] A066342 8.22591 [-(2+2*x-3*x^5+9*x^4+6*x^7-6*x^3-2*x^6-6*x^2)/(x-1)/(2*x^2-1)/(3*x^5-2*x^4-2*x^3+3*x^2-1) lgdogf] A066344 9.50202 [(2*x^6+x^5+2*x^4+x^3+2*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A066345 5.68484 [-(4*x^5-4*x^4-4*x^3+3*x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1)^2 ogf] A066357 3.25210 [{(512*n^3+2304*n^2+3424*n+1680)*a(n+1)+(-64*n^3-448*n^2-1038*n-810)*a(n+2)+(2*n^3+19*n^2+59*n+60)*a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A066368 10.4883 [-(1-x+3*x^2-17*x^3+18*x^4)/(x-1)/(2*x-1)/(9*x^3-11*x^2+5*x-1) lgdogf] A066368 4.41389 [-(20*f(x)+1291)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+9*x^3-6*f(x)*x-11*x^2+f(x)+5*x-1) ogf] A066368 8.16570 [-(9*x^3-11*x^2+5*x-1)/(2*x-1)^2/(x-1)^2 ogf] A066373 14.2914 [-(x-2)/(2*x-1)^2 ogf] A066373 20.3157 [-(-1-2*x+(1+3*x)^(1/2))/(1+4*x) revogf] A066373 27.3820 [-(-7+2*x)/(2*x-1)/(x-2) lgdogf] A066373 7.39213 [(12*f(x)+25)*(4*f(x)*x^2-4*f(x)*x+f(x)+x-2) ogf] A066373 7.84287 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=2,a(1)=7} ogf] A066374 4.52898 [(6*f(x)+5861)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+3*x^3-6*f(x)*x-3*x^2+f(x)+4*x-2) ogf] A066374 8.14070 [-(3*x^3-3*x^2+4*x-2)/(2*x-1)^2/(x-1)^2 ogf] A066374 9.99660 [-(8-22*x+15*x^2-3*x^3+6*x^4)/(-1+x)/(2*x-1)/(3*x^3-3*x^2+4*x-2) lgdogf] A066375 13.3681 [-2*(2+2*x+6*x^2+4*x^3+x^4)/(x-1)/(2*x^4+4*x^2-x+1) lgdogf] A066375 7.84629 [-(2*x^4+4*x^2-x+1)/(x-1)^5 ogf] A066377 11.4251 [-(-3-6*x-9*x^2-7*x^3-4*x^4+5*x^5)/(x-1)/(x^2+x+1)/(x^3-x^2-x-1) lgdogf] A066377 6.74403 [-(x^3-x^2-x-1)/(x^2+x+1)^2/(x-1)^4 ogf] A066380 5.10861 [216*f(x)^3*x^2-59*f(x)^3*x+4*f(x)^3+27*f(x)^2*x-4*f(x)^2+15*f(x)*x+x ogf] A066393 7.86972 [-3*(x+1)*(x^6+3*x^5+3*x^4+10*x^3+3*x^2+3*x+1)/(x-1)/(x^6+3*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1) lgdogf] A066393 8.75960 [(x^6+3*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A066394 7.69518 [2*(1+10*x+x^6+11*x^2+52*x^3+11*x^4+10*x^5)/(x-1)/(x+1)/(3*x^6-2*x^5-19*x^4-4*x^3-7*x^2-2*x-1) lgdogf] A066394 8.41904 [(3*x^6-2*x^5-19*x^4-4*x^3-7*x^2-2*x-1)/(x+1)^3/(x-1)^3 ogf] A066399 11.6131 [(n+2)*a(n+3)+(-1+n)*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=2 revegf] A066403 16.8605 [-2*(-23+10*x+x^2)/(1+x)/(x^2-14*x+1) lgdogf] A066403 3.44004 [{(n+3)*a(n+4)+(-72-13*n)*a(n+3)+(7-13*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=1,a(2)=46,a(3)=1347} ogf] A066403 6.09551 [x*(x+1)^4/(x^2-14*x+1)^3 ogf] A066404 6.67781 [(739-7990*x+2*x^5-305*x^4-12020*x^3-5890*x^2)/(x^2-11*x-1)/(x^4+228*x^3+494*x^2-228*x+1) lgdogf] A066405 3.60029 [{(-n-4)*a(n+4)+(-7+13*n)*a(n+3)+(46+13*n)*a(n+2)+(1-n)*a(n+1),a(0)=1,a(1)=-46,a(2)=769,a(3)=-5632} ogf] A066405 6.70964 [(x^2-14*x+1)^3/(x+1)^4 ogf] A066406 11.8068 [-12*f(x)*x^2+8*f(x)*x-f(x)+24*x ogf] A066406 16.5193 [-1/6*(-6-2*x+(36+24*x+x^2)^(1/2))/x revogf] A066406 18.4670 [24*x/(6*x-1)/(2*x-1) ogf] A066406 21.4139 [-8*(3*x-1)/(6*x-1)/(-1+2*x) lgdogf] A066406 8.67725 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=0,a(1)=24} ogf] A066407 4.71587 [-(61*f(x)-360)*(1280*f(x)*x^4-1184*f(x)*x^3+336*f(x)*x^2-11520*x^3-34*f(x)*x-2880*x^2+f(x)) ogf] A066407 8.43308 [2880*x^2*(4*x+1)/(4*x-1)/(20*x-1)/(2*x-1)/(8*x-1) ogf] A066407 8.67111 [-2*(-19+336*x+7680*x^4-2176*x^3-1104*x^2)/(4*x-1)/(20*x-1)/(2*x-1)/(8*x-1)/(4*x+1) lgdogf] A066431 13.3721 [(9*f(x)*x-f(x)+81*x)^3 ogf] A066443 12.4178 [-(3*x-1)/(9*x-1)/(x-1) ogf] A066443 13.0103 [-1/6*(-1-10*x+(1+8*x+64*x^2)^(1/2))/(1+3*x) revogf] A066443 14.3447 [-(7-18*x+27*x^2)/(x-1)/(-1+3*x)/(9*x-1) lgdogf] A066443 6.01285 [-(3280*f(x)-879)*(9*f(x)*x^2-10*f(x)*x+f(x)+3*x-1) ogf] A066443 6.88218 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=1,a(1)=7} ogf] A066444 10.7585 [-(11*f(x)*x-f(x)+121*x)^2 ogf] A066445 10.1163 [-(12*f(x)*x-f(x)+144*x)^2 ogf] A066455 13.2882 [-(2+4*x+9*x^2+10*x^3+5*x^4)/(x-1)/(5*x^4-5*x^3+8*x^2-3*x+1) lgdogf] A066455 8.40691 [-(5*x^4-5*x^3+8*x^2-3*x+1)/(x-1)^5 ogf] A066456 6.24673 [-(2*x^7+x^6-4*x^5+2*x^4+4*x^3-2*x^2-x+1)/(x+1)^3/(x-1)^5 ogf] A066456 6.52932 [-(1+2*x+4*x^3+x^2+4*x^4+6*x^5+4*x^6+6*x^7+2*x^8)/(x-1)/(x+1)/(2*x^7+x^6-4*x^5+2*x^4+4*x^3-2*x^2-x+1) lgdogf] A066481 14.7704 [-(x^3-x-2)/(x^2+x+1)/(x-1)^2 ogf] A066481 16.0697 [-(-3-3*x+x^5-2*x^3+x^4-6*x^2)/(x-1)/(x^2+x+1)/(x^3-x-2) lgdogf] A066481 5.49388 [{(n+6)*a(n+1)+a(n+2)+a(n+3)+(-n-5)*a(n+4),a(0)=2,a(1)=3,a(2)=3,a(3)=4} ogf] A066481 7.76721 [-(5*f(x)+21)*(f(x)*x^4-f(x)*x^3+x^3-f(x)*x+f(x)-x-2) ogf] A066524 11.3270 [-x*(2*x^2-1)/(2*x-1)^2/(x-1)^2 ogf] A066524 15.5537 [-2*(3-6*x+4*x^3)/(x-1)/(-1+2*x)/(-1+2*x^2) lgdogf] A066524 4.31200 [{(-2*n^2-10*n-12)*a(n+1)+(3*n^2+12*n+9)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A066524 5.66352 [-(38*f(x)-769)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+2*x^3-6*f(x)*x+f(x)-x) ogf] A066530 13.3914 [-(2+2*x+x^5+2*x^6+7*x^3+5*x^4+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+x+1) lgdogf] A066530 14.7704 [(x^3+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A066532 12.0180 [-(2*x^3+4*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A066532 8.80715 [-2*(1+x+2*x^2-8*x^3-7*x^4+16*x^5+4*x^6)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^3+4*x^2-2*x-1) lgdogf] A066532 9.88827 [4*f(x)*x^4-5*f(x)*x^2+2*x^3+4*x^2+f(x)-2*x-1 ogf] A066534 3.28104 [{(2*n^2+10*n+12)*a(n+1)+(-n^2-7*n-12)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A066534 38.7305 [(-3+2*x)/(x-1) lgdegf] A066566 4.65079 [-x*(277*x^30-280*x^29+250*x^20-240*x^19+10*x^10-12)/(3*x^30-10*x^20-10*x^10+12)/(x-1)^2 ogf] A066568 10.0726 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+11*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A066568 18.1349 [9*x^10/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A066586 13.0317 [(2*x^4-2*x^3-3*x^2-4*x-2)/(x-1) ogf] A066586 13.3977 [3*(2+2*x+2*x^4-4*x^3+x^2)/(-1+x)/(2*x^4-2*x^3-3*x^2-4*x-2) lgdogf] A066586 7.94932 [-(290*f(x)+6109)*(-2*x^4+2*x^3+f(x)*x+3*x^2-f(x)+4*x+2) ogf] A066587 3.80325 [(3*x^2+2*x+3)/(x+1)/(x-1)^2 ogf] A066629 10.4909 [(x^2+x+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A066629 11.2625 [-2*(-1-3*x+x^5+2*x^4+3*x^3+x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^2+x-1) lgdogf] A066629 5.44264 [(286*f(x)+111)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A066668 24.2382 [2*x-1+(x^2+1-2*x)*f(x) lgdegf] A066668 5.23318 [{(-n^2-5*n-6)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A066710 4.44093 [-3*(33*x^13+15*x^12+14841*x^11+4107*x^10+1161*x^9+558*x^8+296*x^7+148*x^6+41*x^5+22*x^4+11*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A066711 8.35211 [(-2-22*x-59*x^2-8*x^3-36*x^4+4*x^5+33*x^6)/(x-1)/(x+1)/(11*x^5+2*x^4+19*x^3+10*x^2+2*x+1) lgdogf] A066711 9.60639 [-9*(11*x^5+2*x^4+19*x^3+10*x^2+2*x+1)/(x-1)/(x+1) ogf] A066714 13.7203 [-6*(1+2*x+x^4+2*x^3+10*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2+6*x+1) lgdogf] A066714 8.41904 [-(x^2+6*x+1)*(x^2+1)^2/(x+1)^3/(x-1)^3 ogf] A066770 20.8418 [4/(25*x^2-6*x+1) ogf] A066770 8.14508 [(779*f(x)-8300)*(25*f(x)*x^2-6*f(x)*x+f(x)-4) ogf] A066770 8.43596 [{-a(n+2)+6*a(n+1)-25*a(n),a(0)=4,a(1)=24} ogf] A066771 15.3375 [-(3*x-1)/(25*x^2-6*x+1) ogf] A066771 17.7506 [-(15*x-1)*(-3+5*x)/(3*x-1)/(25*x^2-6*x+1) lgdogf] A066771 8.01736 [(32*f(x)-41)*(25*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A066771 8.50033 [{a(n+2)-6*a(n+1)+25*a(n),a(0)=1,a(1)=3} ogf] A066796 4.23740 [{(-4*n-14)*a(n+1)+(5*n+18)*a(n+2)+(-n-4)*a(n+3),a(0)=2,a(1)=8,a(2)=28} ogf] A066796 4.91154 [-4*f(x)^2*x^4+9*x^3*f(x)^2-6*f(x)^2*x^2+f(x)^2*x+8*f(x)*x^2-10*f(x)*x+2*f(x)-4 ogf] A066802 3.09347 [{(576*n^3+2592*n^2+3824*n+1848)*a(n+1)+(-9*n^3-45*n^2-74*n-40)*a(n+2),a(0)=1,a(1)=20} ogf] A066804 20.2071 [-4*(x+1)*(3*x+2)/(x-1)/(4*x^2+3*x+1) lgdogf] A066804 3.69049 [{(-n-4)*a(n+4)+(2-2*n)*a(n+3)+(18-n)*a(n+2)+(16+4*n)*a(n+1),a(0)=1,a(1)=8,a(2)=34,a(3)=100} ogf] A066804 9.38973 [-(4*x^2+3*x+1)/(x-1)^5 ogf] A066810 14.6993 [-x^2/(3*x-1)/(2*x-1)^2 ogf] A066810 23.1687 [-(-7+18*x)/(3*x-1)/(-1+2*x) lgdogf] A066810 5.64349 [{a(n+3)-7*a(n+2)+16*a(n+1)-12*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A066810 7.61531 [12*f(x)*x^3-16*f(x)*x^2+7*f(x)*x+x^2-f(x) ogf] A066822 4.09704 [{(-3*n^2-33*n-90)*a(n+1)+(-2*n^2-26*n-84)*a(n+2)+(n^2+13*n+30)*a(n+3),a(0)=1,a(1)=5,a(2)=20} ogf] A066822 5.80104 [-35+60*x+144*x^2+(7-38*x+72*x^3+27*x^2)*f(x)+(-5*x^2+x+3*x^3+9*x^4)*f(x)^2 lgdogf] A066827 12.2242 [-(16*x^4+2*x-3)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1) ogf] A066827 9.12548 [-(1+128*x^3-288*x^4+128*x^5+256*x^8)/(x-1)/(2*x+1)/(-1+2*x)/(4*x^2+1)/(16*x^4+2*x-3) lgdogf] A066830 10.4679 [x*(x^4-6*x^2-4*x-3)/(x+1)^3/(x-1)^3 ogf] A066830 13.0202 [-2*(-2-15*x+x^5-10*x^2-10*x^3)/(x-1)/(x+1)/(-3+x^4-4*x-6*x^2) lgdogf] A066830 7.00891 [{(n+5)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=3,a(2)=4} ogf] A066880 10.8269 [-(3+12*x-12*x^4-16*x^3+3*x^2+4*x^6)/(x-1)/(x+1)/(2*x^2-1)/(2*x^3-3*x-2) lgdogf] A066880 13.7467 [-(2*x^3-3*x-2)/(2*x^2-1)/(x-1)/(x+1) ogf] A066880 7.91478 [-(22*f(x)-15)*(2*f(x)*x^4-3*f(x)*x^2+2*x^3+f(x)-3*x-2) ogf] A066912 3.28808 [-x*(72*x^5-52*x^4-44*x^3+43*x^2-6*x-1)/(4*x-1)/(3*x-1)^2/(2*x-1)^3/(x-1)^4 ogf] A066982 11.7036 [-(2*x^2-2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A066982 14.4181 [-(-1-x+4*x^4-4*x^3+4*x^2)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A066982 4.48636 [{(-n-3)*a(n+1)-a(n+2)+(2*n+5)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A066982 6.16446 [(25*f(x)-12)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A066983 12.6996 [(x^2-x-1)/(x+1)/(x^2+x-1) ogf] A066983 13.9084 [-(-1-2*x+x^4-2*x^3-5*x^2)/(x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A066983 7.70085 [{a(n+3)-2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A066983 8.25244 [-(f(x)-3)*(f(x)*x^3+2*f(x)*x^2-x^2-f(x)+x+1) ogf] A066998 3.36407 [{(n^2+4*n+4)*a(n+1)+(-n^2-6*n-10)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A066999 12.6460 [-(-11+x+49*x^2+9*x^3)/(x-1)/(-1+3*x)/(x^2+4*x+1) lgdogf] A066999 7.74650 [-(x^2+4*x+1)/(3*x-1)/(x-1)^4 ogf] A067010 10.4815 [-(53*x^3-22*x^2+33*x+32)/(9*x^4+22*x^2-1) ogf] A067010 5.86965 [(5351386364*f(x)-21990809399)*(9*f(x)*x^4+22*f(x)*x^2+53*x^3-22*x^2-f(x)+33*x+32) ogf] A067010 6.31576 [-(33+1364*x+477*x^6-396*x^5-275*x^4+1152*x^3+885*x^2)/(53*x^3-22*x^2+33*x+32)/(9*x^4+22*x^2-1) lgdogf] A067011 10.4815 [-(77*x^3-43*x^2+32*x+33)/(9*x^4+22*x^2-1) ogf] A067011 5.68764 [-(5372996654*f(x)-35844580161)*(9*f(x)*x^4+22*f(x)*x^2+77*x^3-43*x^2-f(x)+32*x+33) ogf] A067011 6.31576 [-(32+1366*x+693*x^6-774*x^5-830*x^4+1188*x^3+935*x^2)/(9*x^4+22*x^2-1)/(77*x^3-43*x^2+32*x+33) lgdogf] A067016 9.28030 [2*(2+x+3*x^7-8*x^5-3*x^6+9*x^3+8*x^4-4*x^2)/(x-1)/(x+1)/(2*x^6-2*x^5-6*x^4+4*x^3+2*x^2-3*x-1) lgdogf] A067016 9.46049 [-(2*x^6-2*x^5-6*x^4+4*x^3+2*x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A067017 6.78702 [(x^16-2*x^15-x^13-x^12-x^11-x^10-5*x^9-2*x^3-3*x^2-4*x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A067018 11.5991 [(3*x^4+2*x^3-2*x^2-4*x-1)/(x-1)/(x+1) ogf] A067018 8.02066 [(24*f(x)-341)*(-3*x^4+f(x)*x^2-2*x^3+2*x^2-f(x)+4*x+1) ogf] A067046 5.34926 [{(n^2+11*n+30)*a(n+1)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A067046 8.11404 [(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A067046 9.68638 [-2*(1+10*x+10*x^2+20*x^3+5*x^4+2*x^5)/(x-1)/(x+1)/(1+2*x+6*x^2+2*x^3+x^4) lgdogf] A067047 4.43544 [{(-n^3-21*n^2-146*n-336)*a(n+1)+(n^3+9*n^2+26*n+24)*a(n+4),a(0)=1,a(1)=5,a(2)=5,a(3)=35} ogf] A067047 4.80745 [-(x^10+5*x^9+5*x^8+30*x^7+45*x^6+17*x^5+45*x^4+30*x^3+5*x^2+5*x+1)/(x-1)^5/(x^2+x+1)^5 ogf] A067053 4.81545 [-(174075*x^10-512*x^9-256*x^8-128*x^7-64*x^6-32*x^5-16*x^4+13*x^3-2*x^2-2*x+1)/(3*x-1) ogf] A067056 11.4462 [-2*(1+7*x+4*x^2)/(x-1)/(x^6-6*x^5+15*x^4-20*x^3+17*x^2-4*x+1) lgdogf] A067056 3.90463 [{(4*n^2+16*n)*a(n)+(3*n^2+53*n+50)*a(n+1)+(-6*n^2-4*n+16)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=14} ogf] A067056 6.63470 [(x^6-6*x^5+15*x^4-20*x^3+17*x^2-4*x+1)/(x-1)^6 ogf] A067057 26.8240 [-(11+8*x)/(1+x)/(-1+2*x) lgdogf] A067057 4.32737 [{(n+2)*a(n+3)+(-12-n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=22} ogf] A067057 8.37735 [-2*x*(x+1)/(2*x-1)^5 ogf] A067060 11.6636 [(2*x^4-2*x^3+3*x^2-2*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A067060 9.68125 [-(1+7*x+2*x^7+9*x^5-2*x^6+22*x^3-5*x^4-2*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^4-2*x^3+3*x^2-2*x+3) lgdogf] A067061 9.65700 [(3*x^6-3*x^5+4*x^4-3*x^3+4*x^2-3*x+4)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A067088 3.86058 [-(663471074*x^10-8820887*x^9-744573929*x^8-72990958*x^7-715278*x^6-6336*x^5-49*x^4-x^3+x^2-2)/(x+1)/(x-1)^2 ogf] A067090 4.37202 [(x^10-1295181830*x^9+1445850011*x^8+12854702*x^7+112508*x^6+972*x^5-x^4+x^2-x+2)/(x-1)^2 ogf] A067096 6.13409 [(-2-849*x^4-68*x^3+1259475*x^8-1331448*x^7-116944*x^6-10080*x^5)/(x-1)/(179925*x^8+17992*x^7+1800*x^6+180*x^5+17*x^4+2) lgdogf] A067096 8.45525 [-(179925*x^8+17992*x^7+1800*x^6+180*x^5+17*x^4+2)/(x-1) ogf] A067100 8.26699 [x^4*(x+1)*(x^2+1)*(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A067114 4.70174 [-(6*x^14-2*x^13-4*x^12-2*x^11-2*x^10+2*x^9+2*x^7-8*x^5-5*x^4+4*x^3+4*x^2+4*x+2)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A067239 10.6978 [(x^3-27*x^2-5*x-1)/(x-1)^3 ogf] A067239 18.3522 [8*(1+8*x+3*x^2)/(x-1)/(x^3-27*x^2-5*x-1) lgdogf] A067239 5.54699 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=48,a(3)=120} ogf] A067239 5.80498 [-(134*f(x)-1499)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+27*x^2-f(x)+5*x+1) ogf] A067251 10.7807 [(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A067251 43.7631 [-x^9+x^8+2 ogf_with_Euler_transform] A067272 13.2813 [(8*x+1)/(10*x-1)/(x-1) ogf] A067272 6.85957 [(189*f(x)+172)*(10*f(x)*x^2-11*f(x)*x+f(x)-8*x-1) ogf] A067272 7.34378 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=19} ogf] A067273 3.06140 [{(2*n^2+10*n+12)*a(n+1)+(-2*n^2-11*n-15)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A067275 11.4543 [-x*(4*x-1)/(10*x-1)/(x-1) ogf] A067275 5.67152 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=0,a(1)=1,a(2)=7} ogf] A067275 7.03817 [f(x)*(10*f(x)*x^2-11*f(x)*x+4*x^2+f(x)-x) ogf] A067294 6.27099 [-x^3*f(x)^2-2*f(x)*x^2-f(x)*x-4*x^2+f(x)-4*x-5 ogf] A067295 4.5976 [f(x)^2*x^4+5*f(x)*x^3+2*f(x)*x^2+25*x^3+f(x)*x+20*x^2-f(x)+14*x+14 ogf] A067297 2.71663 [-16*f(x)^2*x^4-32*x^3*f(x)^2-24*f(x)^2*x^2-72*f(x)*x^3-8*f(x)^2*x+89*f(x)*x^2-f(x)^2+26*f(x)*x-81*x^2+2*f(x)-18*x-1 ogf] A067297 6.38924 [(-5+98*x-288*x^2+3*(-(-1+16*x)*(-1+26*x)^2)^(1/2))/(1+2*x)/(9*x+1)/(-1+16*x) lgdogf] A067299 5.56999 [4*f(x)^2*x^2+4*f(x)^2*x+f(x)^2-5*f(x)*x-7*f(x)+9*x+10 ogf] A067299 6.37996 [-1/2*(-31+478*x+288*x^2+3*(-(16*x-1)*(27+10*x)^2)^(1/2))/(9*x+10)/(16*x-1)/(1+2*x) lgdogf] A067300 4.1001 [-4*x^3*f(x)^2-4*f(x)^2*x^2-f(x)^2*x+12*f(x)*x^2-f(x)*x-16*x^2+f(x)-3 ogf] A067301 3.25295 [32*f(x)^2*x^4+32*x^3*f(x)^2+8*f(x)^2*x^2-292*f(x)*x^3-20*f(x)*x^2+882*x^3+21*f(x)*x-19*x^2-3*f(x)-45*x+24 ogf] A067305 3.44621 [-16*f(x)^2*x^4-32*x^3*f(x)^2-24*f(x)^2*x^2-8*f(x)^2*x-124*f(x)*x^2-f(x)^2+29*f(x)*x+5*f(x)-36*x-4 ogf] A067305 6.83178 [-1/2*(1-70*x+864*x^2+3*(-(16*x-1)*(3+62*x)^2)^(1/2))/(1+2*x)/(9*x+1)/(16*x-1) lgdogf] A067318 3.87015 [{(n^3+9*n^2+27*n+27)*a(n+1)+(-2*n^2-12*n-17)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A067324 7.04518 [-f(x)^2*x^4-f(x)*x^2-3*f(x)*x+f(x)-x-2 ogf] A067331 13.1723 [(x+2)/(x^2+x-1)^2 ogf] A067331 19.6136 [-(5+9*x+3*x^2)/(x+2)/(x^2+x-1) lgdogf] A067331 4.03773 [{(-2*n-8)*a(n+4)+(8+n)*a(n+3)+(15+3*n)*a(n+2)+(n+4)*a(n+1),a(0)=2,a(1)=5,a(2)=12,a(3)=25} ogf] A067331 6.42807 [(887*f(x)+499)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-x-2) ogf] A067332 16.5394 [-2*(3*x+4)*(x+1)/(2*x+3)/(x^2+x-1) lgdogf] A067332 4.39548 [-(2573*f(x)-3685)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-2*x-3) ogf] A067332 9.43948 [(2*x+3)/(x^2+x-1)^2 ogf] A067333 17.2327 [-(13+23*x+9*x^2)/(3*x+5)/(x^2+x-1) lgdogf] A067333 4.61061 [(26816*f(x)+180841)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-3*x-5) ogf] A067333 9.82589 [(3*x+5)/(x^2+x-1)^2 ogf] A067334 16.2802 [-(21+37*x+15*x^2)/(5*x+8)/(x^2+x-1) lgdogf] A067334 4.35176 [-(10651*f(x)-286331)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-5*x-8) ogf] A067334 9.55959 [(5*x+8)/(x^2+x-1)^2 ogf] A067336 8.28973 [-9*f(x)^2*x+2*f(x)^2+6*f(x)*x-2*f(x)-x ogf] A067358 11.2697 [-169*f(x)*x^2+10*f(x)*x-f(x)+12*x ogf] A067358 17.3168 [12*x/(169*x^2-10*x+1) ogf] A067358 24.2654 [-2*(-5+169*x)/(169*x^2+1-10*x) lgdogf] A067358 8.35280 [{a(n+2)-10*a(n+1)+169*a(n),a(0)=0,a(1)=12} ogf] A067359 14.8538 [-(5*x-1)/(169*x^2-10*x+1) ogf] A067359 16.9990 [-(65*x-1)*(13*x-5)/(5*x-1)/(169*x^2-10*x+1) lgdogf] A067359 7.74983 [(288*f(x)-313)*(169*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A067359 8.38805 [{a(n+2)-10*a(n+1)+169*a(n),a(0)=1,a(1)=5} ogf] A067360 16.6058 [8/(289*x^2-30*x+1) ogf] A067360 19.4669 [-2*(-15+289*x)/(289*x^2+1-30*x) lgdogf] A067360 6.71694 [(161*f(x)+2312)*(289*f(x)*x^2-30*f(x)*x+f(x)-8) ogf] A067360 6.87134 [{-a(n+2)+30*a(n+1)-289*a(n),a(0)=8,a(1)=240} ogf] A067361 11.7217 [-(289*x-15)/(289*x^2-30*x+1) ogf] A067361 11.8884 [-1/578*(-15-30*x+(-(16*x+25)*(16*x-9))^(1/2))/(1+x) revogf] A067361 12.3736 [-(289*x-7)*(289*x-23)/(289*x-15)/(289*x^2-30*x+1) lgdogf] A067361 6.10008 [(3840*f(x)-83521)*(289*f(x)*x^2-30*f(x)*x+f(x)+289*x-15) ogf] A067361 6.79326 [{-a(n+2)+30*a(n+1)-289*a(n),a(0)=15,a(1)=161} ogf] A067389 21.1345 [-(17+17*x+2*x^2)/(x-1)/(x^2+5*x+3) lgdogf] A067389 3.64703 [{(9+3*n)*a(n+4)+(-13+2*n)*a(n+3)+(-21-4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=6,a(2)=34,a(3)=102} ogf] A067389 4.96194 [(6329907*f(x)+33400064)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-10*x^2+f(x)-6*x) ogf] A067389 9.85684 [2*x*(x^2+5*x+3)/(x-1)^4 ogf] A067395 6.56485 [-2*(x^45+x^44-x^41+x^39-x^36-x^35+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+2*x^2+2*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A067403 15.2792 [(4*x-1)/(9*x-1) ogf] A067403 16.2810 [1/8+9/8*x-1/8*(1+2*x+81*x^2)^(1/2) revogf] A067403 17.3098 [-9*f(x)*x+f(x)+4*x-1 ogf] A067403 30.7530 [5/(9*x-1)/(-1+4*x) lgdogf] A067403 7.85183 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=5} ogf] A067404 12.2144 [1/18+8/9*x-1/18*(1-4*x+256*x^2)^(1/2) revogf] A067404 16.6719 [-16*f(x)*x+f(x)+9*x-1 ogf] A067404 17.9766 [(9*x-1)/(16*x-1) ogf] A067404 25.1073 [7/(16*x-1)/(9*x-1) lgdogf] A067404 9.35767 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=7} ogf] A067405 12.7539 [1/32+25/32*x-1/32*(1-14*x+625*x^2)^(1/2) revogf] A067405 13.3653 [(16*x-1)/(25*x-1) ogf] A067405 16.4137 [-25*f(x)*x+f(x)+16*x-1 ogf] A067405 26.8503 [9/(25*x-1)/(16*x-1) lgdogf] A067405 7.14037 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=9} ogf] A067406 13.7277 [1/50+18/25*x-1/50*(1-28*x+1296*x^2)^(1/2) revogf] A067406 14.7161 [(25*x-1)/(36*x-1) ogf] A067406 15.9893 [-36*f(x)*x+f(x)+25*x-1 ogf] A067406 28.1418 [11/(36*x-1)/(25*x-1) lgdogf] A067406 7.75576 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=11} ogf] A067407 12.6816 [1/72+49/72*x-1/72*(1-46*x+2401*x^2)^(1/2) revogf] A067407 13.6097 [(36*x-1)/(49*x-1) ogf] A067407 15.0703 [-49*f(x)*x+f(x)+36*x-1 ogf] A067407 25.9973 [13/(49*x-1)/(36*x-1) lgdogf] A067407 7.17268 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=13} ogf] A067408 11.3930 [1/98+32/49*x-1/98*(1-68*x+4096*x^2)^(1/2) revogf] A067408 12.2479 [(49*x-1)/(64*x-1) ogf] A067408 15.9745 [-64*f(x)*x+f(x)+49*x-1 ogf] A067408 23.3557 [15/(64*x-1)/(49*x-1) lgdogf] A067408 6.45500 [{a(n+2)-64*a(n+1),a(0)=1,a(1)=15} ogf] A067409 10.7859 [(64*x-1)/(81*x-1) ogf] A067409 14.5708 [-81*f(x)*x+f(x)+64*x-1 ogf] A067409 20.5196 [17/(81*x-1)/(64*x-1) lgdogf] A067409 5.68449 [{a(n+2)-81*a(n+1),a(0)=1,a(1)=17} ogf] A067409 9.32709 [1/128+81/128*x-1/128*(1-94*x+6561*x^2)^(1/2) revogf] A067411 11.8498 [-6*f(x)*x+f(x)+2*x-1 ogf] A067411 14.4119 [(2*x-1)/(6*x-1) ogf] A067411 15.3311 [1/4+3/2*x-1/4*(1+4*x+36*x^2)^(1/2) revogf] A067411 30.6622 [4/(6*x-1)/(2*x-1) lgdogf] A067411 7.40611 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=4} ogf] A067412 12.0395 [-8*f(x)*x+f(x)+3*x-1 ogf] A067412 14.6426 [(3*x-1)/(8*x-1) ogf] A067412 15.5882 [1/6+4/3*x-1/6*(1+4*x+64*x^2)^(1/2) revogf] A067412 31.1764 [5/(8*x-1)/(3*x-1) lgdogf] A067412 7.52468 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=5} ogf] A067413 12.0642 [-12*f(x)*x+f(x)+5*x-1 ogf] A067413 14.6040 [(5*x-1)/(-1+12*x) ogf] A067413 14.6862 [1/10+6/5*x-1/10*(1+4*x+144*x^2)^(1/2) revogf] A067413 30.1883 [7/(12*x-1)/(5*x-1) lgdogf] A067413 7.60207 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=7} ogf] A067414 11.1481 [-14*f(x)*x+f(x)+6*x-1 ogf] A067414 13.4950 [(6*x-1)/(14*x-1) ogf] A067414 13.5535 [1/12+7/6*x-1/12*(1+4*x+196*x^2)^(1/2) revogf] A067414 27.8599 [8/(14*x-1)/(6*x-1) lgdogf] A067414 7.02481 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=8} ogf] A067415 10.0657 [-16*f(x)*x+f(x)+7*x-1 ogf] A067415 12.1848 [(7*x-1)/(16*x-1) ogf] A067415 12.2144 [1/14+8/7*x-1/14*(1+4*x+256*x^2)^(1/2) revogf] A067415 25.1073 [9/(16*x-1)/(7*x-1) lgdogf] A067415 6.34278 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=9} ogf] A067416 10.6082 [-18*f(x)*x+f(x)+8*x-1 ogf] A067416 12.8415 [(8*x-1)/(18*x-1) ogf] A067416 12.8888 [1/16+9/8*x-1/16*(1+4*x+324*x^2)^(1/2) revogf] A067416 23.8443 [10/(18*x-1)/(-1+8*x) lgdogf] A067416 6.59427 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=10} ogf] A067419 11.9385 [-12*f(x)*x+f(x)+6*x-1 ogf] A067419 14.4518 [(6*x-1)/(-1+12*x) ogf] A067419 18.5382 [1/12+x-1/12*(1+144*x^2)^(1/2) revogf] A067419 29.8672 [6/(12*x-1)/(6*x-1) lgdogf] A067419 7.52288 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=6} ogf] A067420 11.3329 [-15*f(x)*x+f(x)+8*x-1 ogf] A067420 13.0764 [1/16+15/16*x-1/16*(1-2*x+225*x^2)^(1/2) revogf] A067420 13.7187 [(8*x-1)/(15*x-1) ogf] A067420 28.3321 [7/(15*x-1)/(8*x-1) lgdogf] A067420 7.14125 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=7} ogf] A067421 10.1465 [-18*f(x)*x+f(x)+10*x-1 ogf] A067421 12.2278 [(10*x-1)/(18*x-1) ogf] A067421 12.2578 [1/20+9/10*x-1/20*(1-4*x+324*x^2)^(1/2) revogf] A067421 23.2898 [8/(-1+18*x)/(10*x-1) lgdogf] A067421 6.53267 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=8} ogf] A067422 10.6184 [-21*f(x)*x+f(x)+12*x-1 ogf] A067422 12.7966 [(-1+12*x)/(21*x-1) ogf] A067422 13.1885 [7/8*x+1/24-1/24*(441*x^2-6*x+1)^(1/2) revogf] A067422 6.83652 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=9} ogf] A067423 11.0904 [-24*f(x)*x+f(x)+14*x-1 ogf] A067423 13.3653 [(14*x-1)/(24*x-1) ogf] A067423 13.7880 [1/28+6/7*x-1/28*(1-8*x+576*x^2)^(1/2) revogf] A067423 25.5078 [10/(24*x-1)/(14*x-1) lgdogf] A067423 7.04388 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=10} ogf] A067424 11.4443 [-27*f(x)*x+f(x)+16*x-1 ogf] A067424 13.1698 [1/32+27/32*x-1/32*(1-10*x+729*x^2)^(1/2) revogf] A067424 13.7918 [(16*x-1)/(27*x-1) ogf] A067424 26.3396 [11/(27*x-1)/(16*x-1) lgdogf] A067424 7.26868 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=11} ogf] A067426 10.9724 [-24*f(x)*x+f(x)+15*x-1 ogf] A067426 13.2231 [(15*x-1)/(24*x-1) ogf] A067426 13.2792 [1/30+4/5*x-1/30*(1-12*x+576*x^2)^(1/2) revogf] A067426 26.5585 [9/(24*x-1)/(15*x-1) lgdogf] A067426 7.06441 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=9} ogf] A067427 11.5033 [-28*f(x)*x+f(x)+18*x-1 ogf] A067427 13.8629 [(18*x-1)/(28*x-1) ogf] A067427 13.9359 [1/36+7/9*x-1/36*(1-16*x+784*x^2)^(1/2) revogf] A067427 26.4782 [10/(28*x-1)/(18*x-1) lgdogf] A067427 7.30615 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=10} ogf] A067428 12.0342 [-32*f(x)*x+f(x)+21*x-1 ogf] A067428 13.5248 [1/42+16/21*x-1/42*(1-20*x+1024*x^2)^(1/2) revogf] A067428 14.5028 [(21*x-1)/(32*x-1) ogf] A067428 27.7259 [11/(32*x-1)/(21*x-1) lgdogf] A067428 7.64335 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=11} ogf] A067429 12.2112 [-36*f(x)*x+f(x)+24*x-1 ogf] A067429 14.4317 [1/48+3/4*x-1/48*(1-24*x+1296*x^2)^(1/2) revogf] A067429 14.7161 [(24*x-1)/(36*x-1) ogf] A067429 28.1418 [12/(36*x-1)/(24*x-1) lgdogf] A067429 7.75576 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=12} ogf] A067430 15.6087 [-2*(17+30*x+12*x^2)/(8*x+13)/(x^2+x-1) lgdogf] A067430 4.45927 [(1157969*f(x)+134627432)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-8*x-13) ogf] A067430 9.78161 [(8*x+13)/(x^2+x-1)^2 ogf] A067431 15.4994 [-(55+97*x+39*x^2)/(13*x+21)/(x^2+x-1) lgdogf] A067431 4.1314 [-(7772102*f(x)-3796058483)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-13*x-21) ogf] A067431 9.31206 [(13*x+21)/(x^2+x-1)^2 ogf] A067455 9.51844 [-1+(3-3*x)*f(x)+(-3+6*x-3*x^2)*f(x)^2+(-3*x+3*x^2-x^3+1)*f(x)^3 lgdegf] A067470 4.94492 [-(21717383193*x^10-134217728*x^9-16777216*x^8-2097152*x^7+1038311*x^6-33614*x^5+5143*x^4+171*x^3-19*x^2+7*x+1)/(9*x-1) ogf] A067480 10.0888 [-1/32*ln(5)+1/32*ln(4+16*x+(1+256*x^2+128*x)^(1/2)) revegf] A067480 10.2906 [-128*(1+16*x+1024*x^2)/(32*x+1)/(128*x+1)/(32*x-1) lgdogf] A067480 11.4209 [-2*(128*x+1)/(32*x-1)/(32*x+1) ogf] A067480 7.61394 [{a(n+2)-1024*a(n),a(0)=2,a(1)=256} ogf] A067480 9.2825 [-(f(x)-2)^2*(1024*f(x)*x^2-f(x)+256*x+2) ogf] A067482 19.6999 [1/1024*ln(1+256*x) revegf] A067482 20.8588 [-1024/(-1+1024*x) lgdogf] A067482 7.50199 [-(f(x)-4)*(1024*f(x)*x-f(x)+4) ogf] A067484 11.9748 [1/10077696*ln(1+1679616*x) revegf] A067484 9.31417 [-10077696*f(x)*x+f(x)-6 ogf] A067488 10.0900 [-(128*x^2+16*x+1)/(1024*x^3-1) ogf] A067488 6.52884 [-(f(x)-1)*(1024*f(x)*x^3+128*x^2-f(x)+16*x+1) ogf] A067488 6.76770 [{a(n+3)-1024*a(n),a(0)=1,a(1)=16,a(2)=128} ogf] A067488 9.87981 [-16*(128*x^2+1)*(1+8*x)^2/(128*x^2+16*x+1)/(1024*x^3-1) lgdogf] A067489 3.21201 [(205880671741446*x^7+9298091736*x^6-129140163*x^5-14348907*x^4-1594323*x^3-177147*x^2-19683*x-1)/(2187*x^2-1)/(4782969*x^4+2187*x^2+1) ogf] A067489 9.2118 [(9*f(x)*x-f(x)+19674*x+1)^2 ogf] A067490 3.66809 [(1162144876643701751808*x^13-24211351596743786496*x^12-16*x-1)/(1549526502191602335744*x^13-24211351596743786496*x^12+1024*x^2-1) ogf] A067490 9.19824 [(20*f(x)-19)*(1024*f(x)*x^2-f(x)+16*x+1) ogf] A067491 3.79275 [{-a(n+4)+9765625*a(n+1),a(0)=1,a(1)=125,a(2)=15625,a(3)=1953125} ogf] A067491 5.76499 [(7812500*x^3-15625*x^2-125*x-1)/(9765625*x^3-1) ogf] A067491 6.66859 [f(x)*(9765625*f(x)*x^3-7812500*x^3+15625*x^2-f(x)+125*x+1) ogf] A067492 5.04997 [(f(x)+107)*(10077696*f(x)*x^3+1679616*x^2-f(x)+1296*x+1) ogf] A067492 5.10487 [{a(n+3)-10077696*a(n),a(0)=1,a(1)=1296,a(2)=1679616} ogf] A067492 7.22535 [-(1679616*x^2+1296*x+1)/(216*x-1)/(46656*x^2+216*x+1) ogf] A067493 4.14394 [(83047723206*x^4-1977326743*x^3-117649*x^2-16807*x-1)/(96889010407*x^4-1) ogf] A067494 3.93451 [-(f(x)-1)*(1073741824*f(x)*x^3+134217728*x^2-f(x)+16777216*x+1) ogf] A067495 8.59872 [(9*f(x)*x-f(x)+1853020188851832*x+1)^2 ogf] A067499 20.8154 [8-12*f(x)+6*f(x)^2-f(x)^3 lgdegf] A067500 9.6739 [-(3*f(x)*x-f(x)+1)^3 ogf] A067534 5.72001 [(x+1)*(x^2+10*x+1)/(4*x-1)/(x-1)^5 ogf] A067534 8.14857 [-2*(-10-21*x+91*x^3+6*x^4+114*x^2)/(x-1)/(-1+4*x)/(1+x)/(x^2+10*x+1) lgdogf] A067550 6.91305 [{(n^2+7*n+10)*a(n+1)-2*a(n+2),a(0)=1,a(1)=2} ogf] A067556 4.84086 [-(44640625*x^5-43750000*x^4-875000*x^3-17500*x^2-350*x-7)/(x-1)/(5*x+1)/(5*x-1)/(25*x^2+5*x+1)/(25*x^2-5*x+1) ogf] A067589 6.35983 [-(x^2+4*x+1)*(x^4-2*x^3+4*x^2-2*x+1)/(x^2+1)^2/(x-1)^3 ogf] A067589 7.70445 [-(5-6*x-10*x^6+50*x^5+34*x^2+6*x^3-14*x^4+x^8+6*x^7)/(x-1)/(x^2+1)/(x^2+4*x+1)/(x^4-2*x^3+4*x^2-2*x+1) lgdogf] A067623 5.37513 [-(9*x^2+3*x+1)*(6561*x^6+81*x^3+1)/(1594323*x^9-1) ogf] A067624 5.15581 [{(16*n^2+56*n+48)*a(n+1)-a(n+2),a(0)=1,a(1)=8} ogf] A067626 4.44799 [{(16*n^2+72*n+80)*a(n+1)-a(n+2),a(0)=2,a(1)=48} ogf] A067634 12.1536 [(3*x+1)*(9*x-1)/(10*x-1) ogf] A067634 13.0103 [2*(2-27*x+135*x^2)/(9*x-1)/(3*x+1)/(10*x-1) lgdogf] A067634 6.64210 [{-a(n+3)+10*a(n+2),a(0)=1,a(1)=4,a(2)=13} ogf] A067634 7.32335 [(7*f(x)-15)*(10*f(x)*x-27*x^2-f(x)-6*x+1) ogf] A067636 3.48851 [{(16*n^3+144*n^2+428*n+420)*a(n+1)+(-n^3-11*n^2-38*n-40)*a(n+2),a(0)=2,a(1)=20} ogf] A067703 4.3029 [(1492708383127*f(x)+621636901633138)*(8*f(x)*x^4-8*f(x)*x^3-f(x)*x+56*x^2+f(x)+2800*x-2857) ogf] A067703 9.11203 [-(56*x^2+2800*x-2857)/(2*x-1)/(x-1)/(4*x^2+2*x+1) ogf] A067705 13.6824 [11*(x-3)/(x-1)^3 ogf] A067705 36.8888 [-2*(x-4)/(x-1)/(x-3) lgdogf] A067705 6.48734 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=33,a(1)=88,a(2)=165} ogf] A067705 6.77956 [(460*f(x)-17721)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-11*x+33) ogf] A067707 15.1019 [3*(3*x-5)/(x-1)^3 ogf] A067707 34.7907 [-6*(-2+x)/(x-1)/(3*x-5) lgdogf] A067707 7.09130 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=36,a(2)=63} ogf] A067707 7.48166 [(260*f(x)-8517)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-9*x+15) ogf] A067724 14.0697 [5*(x-3)/(x-1)^3 ogf] A067724 37.2359 [-2*(x-4)/(x-1)/(x-3) lgdogf] A067724 6.60663 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=40,a(2)=75} ogf] A067724 7.03484 [(92*f(x)-1611)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-5*x+15) ogf] A067725 14.3199 [3*x*(x-3)/(x-1)^3 ogf] A067725 38.3182 [-2*(-4+x)/(x-1)/(x-3) lgdogf] A067725 7.28779 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=24} ogf] A067725 7.5577 [(8*f(x)+27)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+9*x) ogf] A067726 14.4876 [6*(x-3)/(x-1)^3 ogf] A067726 38.3642 [-2*(x-4)/(x-1)/(x-3) lgdogf] A067726 6.80287 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=18,a(1)=48,a(2)=90} ogf] A067726 7.17734 [(230*f(x)-4833)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-6*x+18) ogf] A067727 14.3277 [7*(x-3)/(x-1)^3 ogf] A067727 37.9374 [-2*(x-4)/(x-1)/(x-3) lgdogf] A067727 6.66981 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=56,a(2)=105} ogf] A067727 7.03361 [(460*f(x)-11277)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-7*x+21) ogf] A067728 14.7474 [2*(3*x-5)/(x-1)^3 ogf] A067728 33.9584 [-6*(-2+x)/(x-1)/(3*x-5) lgdogf] A067728 6.92484 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=24,a(2)=42} ogf] A067728 7.52368 [(130*f(x)-2839)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-6*x+10) ogf] A067749 17.0691 [(13*x+87)/(x-1)^2 ogf] A067749 19.1978 [-1/2*(-87-2*x+(7569+400*x)^(1/2))/(-13+x) revogf] A067749 29.1523 [-(187+13*x)/(13*x+87)/(x-1) lgdogf] A067749 8.62632 [(200*f(x)+17569)*(f(x)*x^2-2*f(x)*x+f(x)-13*x-87) ogf] A067749 9.43821 [{-a(n+2)+2*a(n+1)-a(n),a(0)=87,a(1)=187} ogf] A067771 14.6252 [-3*(2*x-1)/(3*x-1)/(x-1) ogf] A067771 16.5411 [-2*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(-1+2*x) lgdogf] A067771 7.31262 [-(13*f(x)+9)*(3*f(x)*x^2-4*f(x)*x+f(x)+6*x-3) ogf] A067771 8.02605 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=3,a(1)=6} ogf] A067839 3.69905 [(x^2+2*x+2)/(x+1)/(x-1)^2 ogf] A067844 13.4467 [2*(2*x^2+x+7)/(x+1)/(x-1)^2 ogf] A067844 18.1720 [-2*(4+13*x+x^3+2*x^2)/(x-1)/(1+x)/(2*x^2+x+7) lgdogf] A067844 7.12562 [(302*f(x)+8445)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-2*x-14) ogf] A067844 7.24954 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=14,a(1)=16,a(2)=34} ogf] A067865 17.0691 [4*(16*x+9)/(x-1)^2 ogf] A067865 23.1503 [-(-18-x+2*(81+25*x)^(1/2))/(-64+x) revogf] A067865 30.2735 [-2*(17+8*x)/(16*x+9)/(x-1) lgdogf] A067865 8.81591 [(25*f(x)+1412)*(f(x)*x^2-2*f(x)*x+f(x)-64*x-36) ogf] A067865 9.43821 [{-a(n+2)+2*a(n+1)-a(n),a(0)=36,a(1)=136} ogf] A067866 14.6568 [8*(33*x+92)/(x-1)^2 ogf] A067866 17.5990 [-(-368-x+2*(33856+250*x)^(1/2))/(-264+x) revogf] A067866 26.0726 [-(217+33*x)/(33*x+92)/(x-1) lgdogf] A067866 7.55979 [(125*f(x)+96356)*(f(x)*x^2-2*f(x)*x+f(x)-264*x-736) ogf] A067866 8.25495 [{-a(n+2)+2*a(n+1)-a(n),a(0)=736,a(1)=1736} ogf] A067867 14.0726 [16*(79*x+546)/(x-1)^2 ogf] A067867 15.9993 [-(-4368-x+4*(1192464+625*x)^(1/2))/(-1264+x) revogf] A067867 24.2748 [-(1171+79*x)/(79*x+546)/(x-1) lgdogf] A067867 7.24953 [(625*f(x)+5509928)*(f(x)*x^2-2*f(x)*x+f(x)-1264*x-8736) ogf] A067867 8.06409 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8736,a(1)=18736} ogf] A067869 12.2947 [32*(1602*x+1523)/(x-1)^2 ogf] A067869 13.3039 [-(-24368-x+4*(37112464+6250*x)^(1/2))/(-51264+x) revogf] A067869 18.2454 [-2*(2324+801*x)/(1602*x+1523)/(x-1) lgdogf] A067869 6.26557 [(3125*f(x)+193362464)*(f(x)*x^2-2*f(x)*x+f(x)-51264*x-48736) ogf] A067869 7.16066 [{-a(n+2)+2*a(n+1)-a(n),a(0)=48736,a(1)=148736} ogf] A067870 13.6018 [(7*x^2+6*x+7)/(x+1)/(x-1)^2 ogf] A067870 16.6072 [-(13+41*x+7*x^3+19*x^2)/(x-1)/(x+1)/(7*x^2+6*x+7) lgdogf] A067870 7.03143 [-(11*f(x)+808)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-6*x-7) ogf] A067870 7.27814 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=13,a(2)=27} ogf] A067895 15.9751 [-(x-1)/(20*x-1)/(2*x-1) ogf] A067895 16.0664 [-1/2*(-1-22*x+(1+40*x+324*x^2)^(1/2))/(1+40*x) revogf] A067895 18.4764 [-(21-80*x+40*x^2)/(x-1)/(20*x-1)/(2*x-1) lgdogf] A067895 8.34258 [(382*f(x)+59)*(40*f(x)*x^2-22*f(x)*x+f(x)+x-1) ogf] A067895 8.83332 [{-a(n+2)+22*a(n+1)-40*a(n),a(0)=1,a(1)=21} ogf] A067896 7.50636 [(21*x^9+42*x^8+84*x^7+168*x^6+15*x^5+30*x^4-151*x^3-63*x^2-126*x-41)/(x-1)/(x^2+x+1) ogf] A067900 10.2342 [-(-7*x-4+2*(2+3*x)^(1/2)*(2*x+1)^(1/2)*2^(1/2))/x revogf] A067900 12.2825 [-f(x)*x^2+14*f(x)*x-f(x)+8*x ogf] A067900 13.4205 [8*x/(x^2-14*x+1) ogf] A067900 22.7945 [-2*(-7+x)/(x^2+1-14*x) lgdogf] A067900 6.21924 [{a(n+2)-14*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A067902 16.0622 [-2*(7*x-1)/(x^2-14*x+1) ogf] A067902 20.6373 [-(7-2*x+7*x^2)/(-1+7*x)/(x^2-14*x+1) lgdogf] A067902 8.11747 [-(48*f(x)-47)*(f(x)*x^2-14*f(x)*x+f(x)+14*x-2) ogf] A067902 8.98719 [{a(n+2)-14*a(n+1)+a(n),a(0)=2,a(1)=14} ogf] A067955 27.5500 [-x*(-1+x)*(1+x)/(1-x^2+x^3) revogf] A067955 9.70727 [-x^3*f(x)^3-f(x)^3*x^2+f(x)^2*x^2+f(x)-1 ogf] A067956 4.72278 [-(2*x^7-3*x^6-6*x^5+11*x^4+6*x^3-9*x^2-2*x+9)/(x+1)^3/(x-1)^5 ogf] A067956 5.89172 [-2*(8+25*x-5*x^6+7*x^5-x^7+11*x^4+x^3+x^8-7*x^2)/(x-1)/(x+1)/(2*x^7-3*x^6-6*x^5+11*x^4+6*x^3-9*x^2-2*x+9) lgdogf] A067969 4.14096 [-(2*x^9-3*x^8-8*x^7+12*x^6+12*x^5-26*x^4-8*x^3+12*x^2+2*x-11)/(x+1)^4/(x-1)^6 ogf] A067977 14.4900 [-(89+157*x+63*x^2)/(21*x+34)/(x^2+x-1) lgdogf] A067977 3.99752 [(53702063*f(x)+111455445095)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-21*x-34) ogf] A067977 8.94684 [(21*x+34)/(x^2+x-1)^2 ogf] A067978 14.1727 [-2*(72+127*x+51*x^2)/(34*x+55)/(x^2+x-1) lgdogf] A067978 3.94518 [-(122316767*f(x)-1074085598239)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-34*x-55) ogf] A067978 9.20543 [(34*x+55)/(x^2+x-1)^2 ogf] A067980 12.5378 [-(13+23*x+4*x^3+21*x^2)/(1+2*x)/(x+3)/(x^2+x-1) lgdogf] A067980 4.3363 [-(3980*f(x)-4733)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)-7*x-3) ogf] A067980 8.73546 [(x+3)*(2*x+1)/(x^2+x-1)^2 ogf] A067981 11.4628 [-(19+39*x+12*x^3+33*x^2)/(1+2*x)/(3*x+4)/(x^2+x-1) lgdogf] A067981 4.15935 [-(7435*f(x)+11347)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-6*x^2+f(x)-11*x-4) ogf] A067981 8.37810 [(3*x+4)*(2*x+1)/(x^2+x-1)^2 ogf] A067982 11.5647 [-2*(16+31*x+8*x^3+27*x^2)/(4*x+7)/(2*x+1)/(x^2+x-1) lgdogf] A067982 4.1884 [-(102915*f(x)-882491)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-8*x^2+f(x)-18*x-7) ogf] A067982 8.61611 [(4*x+7)*(2*x+1)/(x^2+x-1)^2 ogf] A067983 11.0918 [-(51+101*x+28*x^3+87*x^2)/(7*x+11)/(1+2*x)/(x^2+x-1) lgdogf] A067983 4.12556 [(189790*f(x)+5881457)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-14*x^2+f(x)-29*x-11) ogf] A067983 8.19382 [(7*x+11)*(2*x+1)/(x^2+x-1)^2 ogf] A067984 10.2570 [-(83+163*x+44*x^3+141*x^2)/(11*x+18)/(1+2*x)/(x^2+x-1) lgdogf] A067984 3.80476 [-(851725*f(x)-118031957)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-22*x^2+f(x)-47*x-18) ogf] A067984 7.87374 [(11*x+18)*(2*x+1)/(x^2+x-1)^2 ogf] A067985 3.69415 [(28256755*f(x)+16230988886)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-36*x^2+f(x)-76*x-29) ogf] A067985 7.64483 [(18*x+29)*(2*x+1)/(x^2+x-1)^2 ogf] A067985 9.59916 [-2*(67+132*x+36*x^3+114*x^2)/(1+2*x)/(18*x+29)/(x^2+x-1) lgdogf] A067986 3.61092 [-(196115460*f(x)-481104291889)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-58*x^2+f(x)-123*x-47) ogf] A067986 7.71649 [(29*x+47)*(2*x+1)/(x^2+x-1)^2 ogf] A067986 9.82908 [-(217+427*x+116*x^3+369*x^2)/(1+2*x)/(29*x+47)/(x^2+x-1) lgdogf] A067987 10.0590 [-(351+691*x+188*x^3+597*x^2)/(47*x+76)/(1+2*x)/(x^2+x-1) lgdogf] A067987 3.76587 [(148645035*f(x)+1539849948223)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-94*x^2+f(x)-199*x-76) ogf] A067987 7.89288 [(47*x+76)*(2*x+1)/(x^2+x-1)^2 ogf] A067988 16.5559 [-(3+8*x+4*x^3+x^2)/(1+x^2)/(x^2+x-1) lgdogf] A067988 3.42405 [{(-n^2-10*n-25)*a(n+1)+(-n^2-8*n-15)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A067988 9.37663 [-(x^2+1)/(x^2+x-1)^3 ogf] A067989 7.53335 [(2*x+1)*(x^2-4*x-1)/(x^2+x-1)^3 ogf] A067989 9.44807 [-(-9-32*x+6*x^4-28*x^3-31*x^2)/(1+2*x)/(x^2+x-1)/(x^2-4*x-1) lgdogf] A067994 176.753 [-2*x lgdegf] A067994 6.44137 [{(-2*n-4)*a(n+1)-a(n+3),a(0)=1,a(1)=0,a(2)=-2} ogf] A067998 12.0904 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-x ogf] A067998 18.0295 [-x*(3*x-1)/(x-1)^3 ogf] A067998 56.8658 [-6*x/(3*x-1)/(x-1) lgdogf] A067998 9.34255 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=0} ogf] A068010 12.0821 [-(2*x^3+x-1)/(2*x-1)/(2*x^3-1) ogf] A068010 13.1437 [-(1+12*x^4-12*x^3+8*x^6)/(-1+2*x)/(2*x^3-1)/(2*x^3+x-1) lgdogf] A068010 6.40878 [-(f(x)+5)*(4*f(x)*x^4-2*f(x)*x^3+2*x^3-2*f(x)*x+f(x)+x-1) ogf] A068011 10.3747 [-(x^2-x+1)*(2*x^3+2*x^2-1)/(2*x-1)/(2*x^5-1) ogf] A068011 8.06604 [-(1-2*x-16*x^5+8*x^10+14*x^6+2*x^2+16*x^7)/(-1+2*x)/(x^2-x+1)/(2*x^3+2*x^2-1)/(2*x^5-1) lgdogf] A068012 7.82933 [(1-2*x+14*x^4-8*x^3+8*x^8-8*x^7+6*x^6-8*x^5+2*x^2)/(x-1)/(2*x-1)/(2*x^3-1)/(2*x^4+3*x^3+x^2-1) lgdogf] A068012 8.82564 [(x-1)*(2*x^4+3*x^3+x^2-1)/(2*x-1)/(2*x^3-1) ogf] A068013 5.60651 [-(1-2*x+8*x^5-11*x^4+8*x^3+8*x^14+12*x^12+26*x^10+18*x^8-x^2+16*x^9-20*x^7-20*x^11)/(-1+2*x)/(2*x^7-1)/(2*x^7+x^5-x^4+x^3+x^2+x-1) lgdogf] A068013 7.98998 [-(2*x^7+x^5-x^4+x^3+x^2+x-1)/(2*x-1)/(2*x^7-1) ogf] A068018 10.8661 [(3*x^2-1)/(2*x-1)/(2*x+1)/(x-1)^2 ogf] A068018 12.8205 [-2*(1+x+12*x^4-8*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(3*x^2-1) lgdogf] A068018 3.60355 [{(4*n+8)*a(n+1)+(-4*n-4)*a(n+2)+(-n-2)*a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A068018 5.47515 [-(f(x)-2)*(4*f(x)*x^4-8*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-3*x^2-f(x)+1) ogf] A068028 11.3102 [-(1+6*x+5*x^6+6*x^5-21*x^4+30*x^3-9*x^2)/(x-1)/(x+1)/(x^2-x+1)/(4*x^4+x^3+3*x^2-2*x+3) lgdogf] A068028 12.8739 [-(4*x^4+x^3+3*x^2-2*x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A068028 7.28892 [-(167*f(x)-1720)*(f(x)*x^4-f(x)*x^3+4*x^4+x^3+f(x)*x+3*x^2-f(x)-2*x+3) ogf] A068030 4.76371 [-(4*x^12-2*x^9-x^7+2*x^6+2*x^5+2*x^4-3*x^3-x^2-x+1)/(2*x-1)/(2*x^3-1)/(2*x^9-1) ogf] A068031 7.21631 [(x-1)*(2*x^7+3*x^6+4*x^5+2*x^4+2*x^3+x^2-1)/(2*x-1)/(2*x^5-1) ogf] A068032 6.90559 [-(2*x^11+x^9-x^5+x^4+x^3+x^2+x-1)/(2*x-1)/(2*x^11-1) ogf] A068033 6.58882 [-(2*x^8-x^7-2*x^6-3*x^5-x^4+3*x^3+x^2+x-1)/(2*x-1)/(2*x^3-1) ogf] A068034 6.35558 [-(2*x^13-x^10+x^9-x^6+x^4+x^3+x^2+x-1)/(2*x-1)/(2*x^13-1) ogf] A068035 5.21464 [-(2*x^13+x^12-3*x^11-x^10-x^9-x^8+2*x^7-x^6+x^4+x^3+x^2+x-1)/(2*x-1)/(2*x^7-1) ogf] A068037 8.09182 [(2*x^8-x^7-2*x^6+x^5+x^4+x^3+x^2+x-1)/(2*x-1) ogf] A068037 8.29444 [(1-2*x-28*x^7+28*x^8+20*x^5-13*x^6+x^4-x^2)/(2*x-1)/(2*x^8-x^7-2*x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A068041 4.81681 [(4*x^12+4*x^11-x^10-7*x^9-11*x^8-15*x^7-15*x^6-11*x^5-5*x^4-2*x^3+x+1)*(x-1)^2/(2*x-1)/(2*x^5-1) ogf] A068044 4.61723 [-(2*x^15+5*x^14-5*x^13-13*x^12-3*x^11+9*x^10+8*x^9+x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+1)/(2*x-1) ogf] A068062 4.70761 [x*(19*x^18+9*x^17+9*x^16+9*x^15+9*x^14-9*x^13+8*x^9+9*x^8+9*x^7+9*x^6+9*x^5+3*x^4+2*x^3+2*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A068073 16.2507 [-(2*x^2+x+1)/(x-1)/(x^2+1) ogf] A068073 21.1452 [-2*(x^2-x+1)*(x+1)^2/(x-1)/(1+x^2)/(2*x^2+x+1) lgdogf] A068073 8.47259 [-(14*f(x)+31)*(f(x)*x^3-f(x)*x^2+f(x)*x+2*x^2-f(x)+x+1) ogf] A068073 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A068082 4.56678 [-(21419570970*f(x)-234009199007)*(-70*x^4+9*f(x)*x^2+52*x^3-10*f(x)*x+11*x^2+f(x)+7*x-1) ogf] A068082 7.27103 [(3-40*x+1260*x^5+17*x^2+1320*x^3-2568*x^4)/(x-1)/(9*x-1)/(70*x^4-52*x^3-11*x^2-7*x+1) lgdogf] A068082 8.63310 [(70*x^4-52*x^3-11*x^2-7*x+1)/(9*x-1)/(x-1) ogf] A068085 4.74457 [-x*(x^4+20*x^3+57*x^2+20*x+1)/(x-1)/(x^6-1442*x^3+1) ogf] A068102 3.93962 [{(2*n^2+12*n+18)*a(n+1)+(-3*n-11)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=32} ogf] A068154 3.98483 [-(1620000*x^4+6750*x^2+1)/(-1+12*x)/(15*x-1)/(20*x-1)/(30*x-1)/(60*x-1) ogf] A068156 13.3271 [(2*x^2+1)/(2*x-1)/(x-1) ogf] A068156 16.8270 [-3*(-1+2*x^2)/(x-1)/(-1+2*x)/(2*x^2+1) lgdogf] A068156 6.40225 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A068156 9.74671 [-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+1 ogf] A068175 3.64392 [(12320000*x^7-12322200*x^6+34200*x^5-33320*x^4+630*x^3+497*x^2+95*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A068176 4.71974 [(2986275*x^6+1189275*x^5+109275*x^4+21275*x^3+2275*x^2+175*x-2)/(100*x-1) ogf] A068177 3.64150 [(29280000*x^6-32203800*x^5+2948000*x^4-29650*x^3+305*x^2+297*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A068178 3.66743 [(1593000*x^5-1735230*x^4+136353*x^3-850*x^2+395*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A068179 4.95057 [{a(n+3)-11*a(n+2)+36*a(n+1)-36*a(n),a(0)=1,a(1)=11,a(2)=121} ogf] A068179 5.26277 [(f(x)-1)*(36*f(x)*x^3-36*f(x)*x^2+11*f(x)*x+36*x^2-f(x)+1) ogf] A068179 9.57651 [-(36*x^2+1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A068179 9.86525 [-(11-288*x^2+1296*x^4)/(6*x-1)/(-1+3*x)/(2*x-1)/(36*x^2+1) lgdogf] A068180 3.48612 [f(x)*(864*f(x)*x^4-720*f(x)*x^3-864*x^4+210*f(x)*x^2-25*f(x)*x-210*x^2+f(x)-1) ogf] A068180 5.64420 [(864*x^4+210*x^2+1)/(6*x-1)/(3*x-1)/(-1+12*x)/(4*x-1) ogf] A068181 4.58003 [{(36*n^2+126*n+108)*a(n+1)-a(n+2),a(0)=1,a(1)=18} ogf] A068203 13.5632 [-(15*x-1)/(x^2-30*x+1) ogf] A068203 16.4774 [-(15-2*x+15*x^2)/(15*x-1)/(x^2-30*x+1) lgdogf] A068203 6.71024 [-(448*f(x)-223)*(f(x)*x^2-30*f(x)*x+f(x)+15*x-1) ogf] A068203 7.58895 [{a(n+2)-30*a(n+1)+a(n),a(0)=1,a(1)=15} ogf] A068204 12.3446 [-(-2-15*x+2*(1+8*x)^(1/2)*(7*x+1)^(1/2))/x revogf] A068204 13.8629 [4*x/(x^2-30*x+1) ogf] A068204 22.5424 [-2*(-15+x)/(x^2+1-30*x) lgdogf] A068204 6.42429 [{a(n+2)-30*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A068204 8.77986 [-f(x)*x^2+30*f(x)*x-f(x)+4*x ogf] A068214 12.2026 [(f(x)*x-f(x)+1)^2 ogf] A068217 11.6481 [-2*(1+x+3*x^5+2*x^4+7*x^3+x^6+6*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^3+x^2+2*x+1) lgdogf] A068217 12.0381 [2*(x^4+2*x^3+x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A068217 6.86547 [{(-n-5)*a(n+1)+(n+2)*a(n+4),a(0)=2,a(1)=4,a(2)=2,a(3)=8} ogf] A068219 7.84607 [-(1+6*x+12*x^7+3*x^8+2*x^9+24*x^5+5*x^6+20*x^3+12*x^4+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+3*x^4+x^3+3*x^2+x+1) lgdogf] A068219 9.88569 [3*(x^6+x^5+3*x^4+x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A068236 11.2980 [30*(x+1)^2/(x-1)^4 ogf] A068236 38.4316 [[6-2*x] ogf_with_Euler_transform] A068236 39.9562 [-2*(3+x)/(x-1)/(x+1) lgdogf] A068236 5.85222 [{(-n-3)*a(n+3)+6*a(n+2)+(n+3)*a(n+1),a(0)=30,a(1)=180,a(2)=570} ogf] A068236 6.02562 [(14*f(x)+771)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-30*x^2+f(x)-60*x-30) ogf] A068239 3.66340 [(1199*x^7+16567*x^6+60099*x^5+71075*x^4+28765*x^3+3621*x^2+113*x+1)/(x-1)^10 ogf] A068244 4.09347 [(1089*x^6+10934*x^5+26015*x^4+18500*x^3+3775*x^2+166*x+1)/(x-1)^10 ogf] A068250 4.32516 [(832*x^5+4805*x^4+6630*x^3+2600*x^2+250*x+3)/(x-1)^10 ogf] A068250 7.18239 [-10*(28+745*x+4069*x^2+6563*x^3+3299*x^4+416*x^5)/(x-1)/(832*x^5+4805*x^4+6630*x^3+2600*x^2+250*x+3) lgdogf] A068293 10.9342 [-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+3*x+1 ogf] A068293 14.6477 [(x+1)*(2*x+1)/(2*x-1)/(x-1) ogf] A068293 14.9123 [-6*(-1+2*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(x+1) lgdogf] A068293 7.53715 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=6,a(2)=18} ogf] A068377 11.6524 [(x^3-5*x^2-3*x-1)/(x-1)^3 ogf] A068377 21.3162 [2*(3+8*x+x^2)/(x-1)/(x^3-5*x^2-3*x-1) lgdogf] A068377 6.00010 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=20,a(3)=42} ogf] A068377 6.48399 [(984*f(x)-4351)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+5*x^2-f(x)+3*x+1) ogf] A068379 11.4762 [(x^3-11*x^2-21*x-1)/(x-1)^3 ogf] A068379 20.5093 [8*(3+8*x+x^2)/(x-1)/(x^3-11*x^2-21*x-1) lgdogf] A068379 5.99126 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=24,a(2)=80,a(3)=168} ogf] A068379 6.26778 [-(246*f(x)-3859)*(f(x)*x^3-3*f(x)*x^2-2*x^3+3*f(x)*x+14*x^2-f(x)+18*x+2) ogf] A068380 10.5029 [(x^3-21*x^2-51*x-1)/(x-1)^3 ogf] A068380 18.2789 [18*(3+8*x+x^2)/(x-1)/(x^3-21*x^2-51*x-1) lgdogf] A068380 5.44311 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=54,a(2)=180,a(3)=378} ogf] A068380 5.69241 [-(328*f(x)-11085)*(f(x)*x^3-3*f(x)*x^2-3*x^3+3*f(x)*x+27*x^2-f(x)+45*x+3) ogf] A068397 10.1569 [-(4*x^3+3*x^2-4*x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A068397 5.35672 [-(235*f(x)-1144)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+4*x^3-f(x)*x+3*x^2+f(x)-4*x-1) ogf] A068397 9.84015 [-(5-2*x+6*x^5-x^4-4*x^3+4*x^6-4*x^2)/(x-1)/(1+x)/(x^2+x-1)/(4*x^3+3*x^2-4*x-1) lgdogf] A068491 5.32660 [(x^10-x^9+x^8+x^6+x^4+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A068508 11.1381 [-(3*x^7+4*x^6+5*x^5+3*x^4+2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A068548 12.3940 [-32*(-1-5*x+4*x^2)/(-1+4*x)/(16*x^2-16*x-1) lgdogf] A068548 3.78279 [(2760*f(x)+11567)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+16*x^2+f(x)-16*x-1) ogf] A068548 7.07430 [-(16*x^2-16*x-1)/(4*x-1)^4 ogf] A068551 10.7192 [x*(4*x+1+3*(1+4*x)^(1/2))/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2))^3 revogf] A068551 4.19586 [{(-16*n-24)*a(n+1)+(8*n+18)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=2,a(2)=10} ogf] A068551 6.9779 [-16*f(x)^2*x^2+8*f(x)^2*x-f(x)^2-8*f(x)*x+2*f(x)-4*x ogf] A068552 4.66845 [-64*x^3*f(x)^2+48*f(x)^2*x^2-12*f(x)^2*x+32*f(x)*x^2+f(x)^2-16*f(x)*x-16*x^2+2*f(x)-4*x+1 ogf] A068552 9.71838 [-4*(8*x^2+8*x-1+(-(-1+4*x)*(-1+2*x)^2)^(1/2))/(16*x^2+4*x-1)/(-1+4*x) lgdogf] A068554 4.4581 [-64*x^3*f(x)^2+48*f(x)^2*x^2-12*f(x)^2*x+32*f(x)*x^2+f(x)^2-16*f(x)*x-4*x^2+2*f(x)-4*x+1 ogf] A068554 9.30386 [-2*(4*x^2+10*x-2+(-(-1+4*x)*(-1+2*x)^2)^(1/2))/(4*x^2+4*x-1)/(-1+4*x) lgdogf] A068601 10.7337 [x*(x^2-2*x+7)/(x-1)^4 ogf] A068601 23.4067 [-2*(13-2*x+x^2)/(x-1)/(x^2-2*x+7) lgdogf] A068601 3.93750 [{(-21-7*n)*a(n+4)+(44+9*n)*a(n+3)+(-7-3*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=7,a(2)=26,a(3)=63} ogf] A068601 5.71944 [(128*f(x)+249)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-7*x) ogf] A068605 11.4615 [-3*(2*x^2-1)*(6*x^2-8*x+3)/(x-1)/(2*x-1)/(1+6*x^3-6*x^2) lgdogf] A068605 3.63821 [{(-2*n^2-18*n-40)*a(n+1)+(3*n^2+21*n+30)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=2,a(1)=18,a(2)=84} ogf] A068605 6.89345 [2*(6*x^3-6*x^2+1)/(2*x-1)^3/(x-1)^3 ogf] A068616 2.41754 [-(1227267802852402678742702358528*f(x)+8545894250332717323749834537297)*(-3928064*x^4-492844*x^3+100*f(x)*x-52124*x^2-f(x)-124*x+7) ogf] A068616 5.25815 [(3928064*x^4+492844*x^3+52124*x^2+124*x-7)/(100*x-1) ogf] A068617 3.2211 [-(9915595179703056*f(x)-22393677037247053)*(-45684*x^3+100*f(x)*x-7259*x^2-f(x)-719*x+8) ogf] A068617 3.95735 [{a(n+4)-100*a(n+3),a(0)=8,a(1)=81,a(2)=841,a(3)=38416} ogf] A068617 5.47651 [(81-14518*x+9136800*x^3+588848*x^2)/(100*x-1)/(45684*x^3+7259*x^2+719*x-8) lgdogf] A068617 6.49253 [(45684*x^3+7259*x^2+719*x-8)/(100*x-1) ogf] A068620 4.45009 [-(704*x^7-704*x^6+288*x^5-56*x^4+32*x^3-24*x^2+8*x-1)/(4*x-1)/(2*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068623 3.61348 [4*(4062500*x^6-4400125*x^5+328500*x^4+4250*x^3-1575*x^2+215*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A068624 3.66743 [(1786000*x^5-1897460*x^4+98976*x^3-1780*x^2+908*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A068626 10.4616 [-(x^4+2*x^3+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A068626 12.8382 [-3*(1+x+x^6+3*x^5+x^4+6*x^3+5*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^3+2*x+1) lgdogf] A068628 13.6926 [-12*x*(3*x+5)/(x-1)^3 ogf] A068628 7.02491 [(976*f(x)-35217)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+60*x) ogf] A068628 7.08654 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=60,a(2)=216} ogf] A068670 14.1045 [(x^25+x^4+1)/(x-1)^2 ogf] A068670 15.7180 [(-2+2*x^4-4*x^3-25*x^24+23*x^25)/(x-1)/(x^25+x^4+1) lgdogf] A068711 5.56383 [2*x^2*(16*x^4-8*x^3-16*x^2+12*x-3)/(4*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068722 10.5275 [-(35+284*x+x^4+64*x^3+336*x^2)/(x-1)/(x^4+30*x^3+82*x^2+30*x+1) lgdogf] A068722 6.90652 [-(x^4+30*x^3+82*x^2+30*x+1)/(x-1)^5 ogf] A068744 4.86581 [-(x^8+1656*x^7+72876*x^6+522760*x^5+972198*x^4+522760*x^3+72876*x^2+1656*x+1)/(x-1)^9 ogf] A068764 14.1184 [1/2*(-1+2*x+(1-8*x+8*x^2)^(1/2))/(x-1)/(1-8*x+8*x^2)^(1/2)/x lgdogf] A068764 19.1142 [x-1+f(x)-2*f(x)^2*x ogf] A068764 31.3743 [1/2-1/2*(1-4*x+8*x^2)^(1/2) revogf] A068764 4.03821 [{(16*n^2+16*n)*a(n)+(-24*n^2-72*n-48)*a(n+1)+(10*n^2+52*n+66)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A068765 12.2492 [2*x-1+f(x)-3*f(x)^2*x ogf] A068765 19.2583 [1/4-1/4*(1-8*x+24*x^2)^(1/2) revogf] A068765 8.17017 [1/2*(-1+4*x+(1-12*x+24*x^2)^(1/2))/(2*x-1)/(1-12*x+24*x^2)^(1/2)/x lgdogf] A068766 13.2478 [3*x-1+f(x)-4*f(x)^2*x ogf] A068766 20.1437 [1/6-1/6*(1-12*x+48*x^2)^(1/2) revogf] A068767 11.433 [4*x-1+f(x)-5*f(x)^2*x ogf] A068767 17.3422 [1/8-1/8*(1-16*x+80*x^2)^(1/2) revogf] A068767 7.62007 [1/2*(-1+8*x+(1-20*x+80*x^2)^(1/2))/(4*x-1)/(1-20*x+80*x^2)^(1/2)/x lgdogf] A068768 12.0111 [5*x-1+f(x)-6*f(x)^2*x ogf] A068768 16.5293 [1/10-1/10*(1-20*x+120*x^2)^(1/2) revogf] A068768 7.66576 [1/2*(-1+10*x+(1-24*x+120*x^2)^(1/2))/(1-24*x+120*x^2)^(1/2)/(5*x-1)/x lgdogf] A068769 10.8921 [6*x-1+f(x)-7*f(x)^2*x ogf] A068769 14.9629 [1/12-1/12*(1-24*x+168*x^2)^(1/2) revogf] A068769 7.04136 [1/2*(12*x-1+(168*x^2-28*x+1)^(1/2))/x/(168*x^2-28*x+1)^(1/2)/(6*x-1) lgdogf] A068770 11.2699 [7*x-1+f(x)-8*f(x)^2*x ogf] A068770 15.4941 [1/14-1/14*(1-28*x+224*x^2)^(1/2) revogf] A068770 7.29135 [1/2*(14*x-1+(1-32*x+224*x^2)^(1/2))/(1-32*x+224*x^2)^(1/2)/x/(7*x-1) lgdogf] A068771 11.6477 [8*x-1+f(x)-9*f(x)^2*x ogf] A068771 16.0253 [1/16-1/16*(1-32*x+288*x^2)^(1/2) revogf] A068772 11.7024 [9*x-1+f(x)-10*f(x)^2*x ogf] A068772 16.4680 [1/18-1/18*(1-36*x+360*x^2)^(1/2) revogf] A068772 7.74966 [1/2*(18*x-1+(360*x^2-40*x+1)^(1/2))/(9*x-1)/(360*x^2-40*x+1)^(1/2)/x lgdogf] A068774 4.93178 [8*x^3*(40*x^4-40*x^3+20*x^2-5*x+1)/(4*x-1)/(2*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068777 5.38190 [2*x*(16*x^5-8*x^4+16*x^3-12*x^2+5*x-1)/(4*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068778 5.92867 [-16*x^3*(2*x^3+4*x^2-3*x+1)/(4*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068784 5.97354 [(32831*x^7-19710*x^6-12417*x^5-704*x^4+16768*x^2+13121*x+16767)/(x+1)/(x-1)^2 ogf] A068786 5.28851 [-(32*x^6-32*x^5+8*x^4-16*x^3+14*x^2-6*x+1)/(4*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068787 5.42206 [-2*x*(16*x^5-16*x^4+4*x^3+8*x^2-5*x+1)/(4*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068788 5.58889 [-4*x^2*(8*x^4-16*x^3+12*x^2-4*x+1)/(4*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068789 4.52514 [-(192*x^7-64*x^6-32*x^5+24*x^4+24*x^3-24*x^2+8*x-1)/(4*x-1)/(2*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068790 5.19407 [-8*x^4*(24*x^3-40*x^2+20*x-5)/(4*x-1)/(2*x-1)/(8*x^2-4*x+1)/(16*x^4+1) ogf] A068824 6.77562 [2*(-8+3240*x^11+11*x+11250*x^9-4050*x^8-10440*x^10)/(x-1)/(810*x^11-1710*x^10+900*x^9-11*x+9) lgdogf] A068824 7.41134 [-(810*x^11-1710*x^10+900*x^9-11*x+9)/(x-1)^3 ogf] A068836 3.58793 [-(8999991900*x^9+1011120102*x^8+111111030*x^7+110004*x^6+1012110*x^5+110400*x^4+1020*x^3+912*x^2+200*x+11)/(x-1) ogf] A068860 5.70286 [-(8*x^10+8*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-1)/(x-1)/(x+1)/(10*x^9-1) ogf] A068875 10.2914 [-f(x)^2*x-2*f(x)*x+2*f(x)-x-2 ogf] A068875 35.2961 [-1-x+(1+4*x)^(1/2) revogf] A068875 4.26554 [{(8*n^2+4*n)*a(n)+(2*n^2+10*n+12)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=2} ogf] A068911 10.6402 [(7*f(x)-4)*(3*f(x)*x^2+x^2-f(x)+2*x+1) ogf] A068911 14.5842 [-(x+1)^2/(3*x^2-1) ogf] A068911 26.9386 [-2*(1+3*x)/(x+1)/(3*x^2-1) lgdogf] A068911 8.50744 [{a(n+3)-3*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A068912 10.6575 [f(x)*(2*f(x)*x^4-4*f(x)*x^2+f(x)-2*x-1) ogf] A068912 15.2131 [-2*(-1-4*x-4*x^2+4*x^3+6*x^4)/(2*x+1)/(2*x^4-4*x^2+1) lgdogf] A068912 16.7475 [(2*x+1)/(2*x^4-4*x^2+1) ogf] A068912 7.74175 [{-a(n+4)+4*a(n+2)-2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A068921 15.7898 [-(x^2+1)/(x^3+x-1) ogf] A068921 17.2443 [-(2+2*x+x^4+2*x^3+2*x^2)/(x^2+x+1)/(x^3+x-1) lgdogf] A068921 8.23083 [{a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A068921 8.31933 [-(3*f(x)-2)*(f(x)*x^3+f(x)*x+x^2-f(x)+1) ogf] A068922 15.2367 [(x^2-x-3)/(x^2+x-1) ogf] A068922 21.6097 [2*(2+2*x+x^2)/(x^2-x-3)/(x^2+x-1) lgdogf] A068922 7.91711 [{a(n+3)-a(n+2)-a(n+1),a(0)=3,a(1)=4,a(2)=6} ogf] A068922 8.24025 [-(-7+13*f(x))*(f(x)*x^2+f(x)*x-x^2-f(x)+x+3) ogf] A068923 7.46319 [(4+8*x-x^6-2*x^5+4*x^11+6*x^2+4*x^3-x^4+8*x^8+6*x^7+3*x^10+8*x^9)/(x+1)/(2*x^6+x^5+x^4-x^2-3*x-1)/(x^5+x^3-1) lgdogf] A068923 8.55172 [(x+1)*(2*x^6+x^5+x^4-x^2-3*x-1)/(x^5+x^3-1) ogf] A068924 10.5419 [(x^4+7*x^3+4*x^2-3*x-6)/(x^3+x^2-1) ogf] A068924 11.6037 [(3+4*x+x^6+2*x^5+3*x^4+2*x^3)/(x^3+x^2-1)/(x^4+7*x^3+4*x^2-3*x-6) lgdogf] A068924 6.10760 [{a(n+5)-a(n+3)-a(n+2),a(0)=6,a(1)=3,a(2)=2,a(3)=2,a(4)=4} ogf] A068924 8.84548 [-f(x)*x^3+x^4-f(x)*x^2+7*x^3+4*x^2+f(x)-3*x-6 ogf] A068925 7.05088 [(2*x^10+6*x^9+11*x^8+6*x^7+7*x^6-x^5-2*x^4-3*x^3-6*x^2-9*x-1)/(x^2-x+1)/(x^5+x^4+x^3-x-1) ogf] A068927 7.15799 [-(x^10+2*x^8+2*x^6+x^4-1)/(x^3+x-1)/(x^6+x^2-1) ogf] A068928 7.42675 [(2-3*x^4-4*x^3+x^10+2*x^9+4*x^8+8*x^7+6*x^6-2*x^5-2*x^2)/(x^2+x-1)/(x^4+x^2-1)/(x^6-x^4-4*x^2+2) lgdogf] A068928 8.17436 [(x^6-x^4-4*x^2+2)/(x^2+x-1)/(x^4+x^2-1) ogf] A068930 5.20756 [(x^10+5*x^9+4*x^8+3*x^7-x^6-2*x^5-6*x^4-5*x^3-3*x^2+2*x+4)/(x^3+x^2-1)/(x^6+x^4-1) ogf] A068962 7.83371 [(x^2+1)*(x^12-x^10+2*x^8+x^7-3*x^6+x^5+2*x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A069005 4.42485 [(55+274*f(x))*(f(x)*x^4+f(x)*x^3+x^4-3*f(x)*x^2+2*x^3-2*f(x)*x-2*x^2+f(x)-5*x-1) ogf] A069005 7.70445 [-(x^4+2*x^3-2*x^2-5*x-1)/(x+1)/(x^3-3*x+1) ogf] A069005 8.02307 [-(7+10*x+x^6+2*x^5-5*x^4-10*x^3+2*x^2)/(x+1)/(x^3-3*x+1)/(x^4+2*x^3-2*x^2-5*x-1) lgdogf] A069006 9.32528 [-(-2-6*x+4*x^5-8*x^4-4*x^3+15*x^2)/(x-1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) lgdogf] A069006 9.37674 [(x-1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A069007 6.02014 [-(-5-10*x+3*x^8-12*x^6+6*x^7+30*x^3+15*x^4-24*x^5)/(x^3+x^2-2*x-1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) lgdogf] A069007 6.60813 [(x^3+x^2-2*x-1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) ogf] A069008 8.71453 [-(4+12*x-6*x^2-28*x^3-10*x^4+10*x^5+5*x^6)/(x+1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) lgdogf] A069008 9.44762 [-(x+1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) ogf] A069009 8.58852 [-(3+12*x-12*x^2-20*x^3+5*x^4+6*x^5)/(6*x^2-1+3*x-5*x^4-4*x^3+x^6+x^5) lgdogf] A069009 9.31000 [-1/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) ogf] A069013 5.15531 [-(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^12-x^8+x^4-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A069015 3.88111 [{(-3*n^2-18*n-27)*a(n+1)+(4*n+15)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=65} ogf] A069017 7.38147 [-(x^4+2*x^3-16*x^2+2*x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A069034 3.39571 [-(81*f(x)*x-f(x)-72*x+1)^2 ogf] A069038 32.2944 [[10-4*x] ogf_with_Euler_transform] A069038 35.3148 [-2*(x+5)/(x-1)/(x+1) lgdogf] A069038 5.30952 [{(n+2)*a(n+3)-10*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=10} ogf] A069038 6.63690 [x*(x+1)^4/(x-1)^6 ogf] A069039 32.0022 [[12-5*x] ogf_with_Euler_transform] A069039 35.0267 [-2*(x+6)/(x-1)/(x+1) lgdogf] A069039 5.26545 [{(n+2)*a(n+3)-12*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=12} ogf] A069039 5.59713 [-x*(x+1)^5/(x-1)^7 ogf] A069040 8.10918 [(5-34*x^18+9*x+x^3+9*x^2+72*x^17-102*x^19+30*x^20+34*x^21)/(x-1)/(x+1)/(2*x^20+2*x^19-4*x^18-x^2-4*x-1) lgdogf] A069040 9.67753 [-(2*x^20+2*x^19-4*x^18-x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A069071 5.60820 [5*(x+1)*(x^4+44*x^3+294*x^2+44*x+1)/(x-1)^6 ogf] A069071 8.38961 [-(51+901*x+x^5+1194*x^3+95*x^4+2366*x^2)/(x-1)/(x+1)/(x^4+44*x^3+294*x^2+44*x+1) lgdogf] A069072 10.5137 [6*(x^2+6*x+1)/(x-1)^4 ogf] A069072 21.8708 [-2*(5+10*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A069072 3.64335 [{(n+4)*a(n+4)+(5+5*n)*a(n+3)+(-30-5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=6,a(1)=60,a(2)=210,a(3)=504} ogf] A069072 5.41145 [(868*f(x)+22683)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-36*x-6) ogf] A069073 5.93251 [3*x*(3*x^4+132*x^3+370*x^2+132*x+3)/(x-1)^6 ogf] A069073 9.21029 [-2*(75+700*x+3*x^4+204*x^3+938*x^2)/(x-1)/(3*x^4+132*x^3+370*x^2+132*x+3) lgdogf] A069074 11.9076 [24*(x+1)/(x-1)^4 ogf] A069074 35.4315 [[5-x] ogf_with_Euler_transform] A069074 36.7979 [-(5+3*x)/(x-1)/(x+1) lgdogf] A069074 5.39697 [{(-n-3)*a(n+3)+5*a(n+2)+(4+n)*a(n+1),a(0)=24,a(1)=120,a(2)=336} ogf] A069074 5.81534 [(656*f(x)+22269)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-24*x-24) ogf] A069075 7.07724 [-(9*x^4+180*x^3+190*x^2+4*x+1)/(x-1)^5 ogf] A069075 9.81489 [-3*(3+132*x+370*x^2+132*x^3+3*x^4)/(x-1)/(9*x^4+180*x^3+190*x^2+4*x+1) lgdogf] A069076 4.28482 [(x^6-34*x^5-3165*x^4-19852*x^3-19817*x^2-3186*x-27)/(x-1)^7 ogf] A069078 10.0991 [-2*(13+104*x+x^4+32*x^3+138*x^2)/(x-1)/(x^4+20*x^3+54*x^2+20*x+1) lgdogf] A069078 5.84596 [5*x*(x^4+20*x^3+54*x^2+20*x+1)/(x-1)^6 ogf] A069079 17.5272 [-3*(21+54*x+5*x^2)/(x-1)/(5*x^2+38*x+5) lgdogf] A069079 8.39796 [-8*(5*x^2+38*x+5)/(x-1)^5 ogf] A069080 13.0245 [-2*(36+59*x+3*x^3-18*x^2)/(x-1)/(3*x^3-15*x^2+37*x+7) lgdogf] A069080 3.85899 [{(-314*n^2-2707*n-5295)*a(n+1)+(468*n^2+2844*n+3888)*a(n+2)+(-154*n^2-777*n-945)*a(n+3),a(0)=84,a(1)=864,a(2)=3300} ogf] A069080 8.38189 [-12*(3*x^3-15*x^2+37*x+7)/(x-1)^5 ogf] A069099 13.1178 [-(x^2+5*x+1)/(x-1)^3 ogf] A069099 25.3184 [-(8+12*x+x^2)/(x-1)/(x^2+5*x+1) lgdogf] A069099 7.08129 [(17*f(x)-57)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+5*x+1) ogf] A069099 7.08129 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=22} ogf] A069121 9.56943 [-12*(4+47*x+4*x^3+62*x^2)/(-1+4*x)/(8*x^3+72*x^2+30*x+1) lgdogf] A069125 13.2297 [-(x^2+9*x+1)/(x-1)^3 ogf] A069125 23.9935 [-(12+20*x+x^2)/(-1+x)/(x^2+9*x+1) lgdogf] A069125 7.07905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=34} ogf] A069125 7.07906 [(27*f(x)-155)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+9*x+1) ogf] A069126 11.9967 [-(x^2+11*x+1)/(x-1)^3 ogf] A069126 22.0862 [-(14+24*x+x^2)/(x-1)/(x^2+11*x+1) lgdogf] A069126 6.46779 [(16*f(x)-111)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+11*x+1) ogf] A069126 6.52453 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=14,a(2)=40} ogf] A069127 12.9395 [-(x^2+12*x+1)/(x-1)^3 ogf] A069127 23.8519 [-(15+26*x+x^2)/(x-1)/(x^2+12*x+1) lgdogf] A069127 6.97607 [(69*f(x)-520)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+12*x+1) ogf] A069127 7.03726 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=43} ogf] A069128 13.8943 [-(x^2+13*x+1)/(x-1)^3 ogf] A069128 23.9665 [-(16+28*x+x^2)/(x-1)/(x^2+13*x+1) lgdogf] A069128 7.49082 [(37*f(x)-301)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+13*x+1) ogf] A069128 7.55653 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=46} ogf] A069129 12.7395 [-(x^2+14*x+1)/(x-1)^3 ogf] A069129 23.4790 [-(17+30*x+x^2)/(x-1)/(x^2+14*x+1) lgdogf] A069129 6.86828 [(79*f(x)-690)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+14*x+1) ogf] A069129 6.92853 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=49} ogf] A069130 12.8609 [-(x^2+15*x+1)/(x-1)^3 ogf] A069130 23.7070 [-(18+32*x+x^2)/(x-1)/(x^2+15*x+1) lgdogf] A069130 6.99451 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=18,a(2)=52} ogf] A069130 7.05641 [(3*f(x)-28)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+15*x+1) ogf] A069131 12.9215 [-(x^2+16*x+1)/(x-1)^3 ogf] A069131 23.8209 [-(19+34*x+x^2)/(x-1)/(x^2+16*x+1) lgdogf] A069131 6.9664 [(89*f(x)-884)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+16*x+1) ogf] A069131 7.02751 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=19,a(2)=55} ogf] A069132 13.0429 [-(x^2+17*x+1)/(x-1)^3 ogf] A069132 24.0489 [-(20+36*x+x^2)/(x-1)/(x^2+17*x+1) lgdogf] A069132 7.03181 [(47*f(x)-495)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+17*x+1) ogf] A069132 7.09349 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=20,a(2)=58} ogf] A069133 13.0429 [-(x^2+18*x+1)/(x-1)^3 ogf] A069133 24.0489 [-(21+38*x+x^2)/(x-1)/(x^2+18*x+1) lgdogf] A069133 6.97119 [(99*f(x)-1102)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+18*x+1) ogf] A069133 7.09349 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=61} ogf] A069134 3.24704 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(-n^3-10*n^2-33*n-40)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=9,a(2)=144} ogf] A069135 4.24310 [{(-n^3-8*n^2-21*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=4} egf] A069140 19.2021 [-2*(x+7)*(5*x+3)/(x-1)/(5*x^2+22*x+5) lgdogf] A069140 3.49939 [{(15+5*n)*a(n+4)+(-8+17*n)*a(n+3)+(-93-17*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=60,a(2)=504,a(3)=1716} ogf] A069140 4.97154 [(4720*f(x)+509997)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-60*x^3-4*f(x)*x-264*x^2+f(x)-60*x) ogf] A069140 9.36200 [12*x*(5*x^2+22*x+5)/(x-1)^4 ogf] A069173 13.5048 [-(23+42*x+x^2)/(-1+x)/(x^2+20*x+1) lgdogf] A069173 4.04074 [(109*f(x)-1344)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+20*x+1) ogf] A069173 4.14708 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=23,a(2)=67} ogf] A069173 7.62527 [-(x^2+20*x+1)/(x-1)^3 ogf] A069174 13.7048 [-(24+44*x+x^2)/(-1+x)/(x^2+21*x+1) lgdogf] A069174 4.17016 [(57*f(x)-737)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+21*x+1) ogf] A069174 4.20675 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=24,a(2)=70} ogf] A069174 7.73498 [-(x^2+21*x+1)/(x-1)^3 ogf] A069178 13.1035 [-(x^2+19*x+1)/(x-1)^3 ogf] A069178 23.4522 [-(22+40*x+x^2)/(-1+x)/(x^2+19*x+1) lgdogf] A069178 7.06451 [(26*f(x)-305)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+19*x+1) ogf] A069178 7.12648 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=22,a(2)=64} ogf] A069181 12.2330 [(7+12*x+30*x^5+10*x^4+24*x^3+15*x^2)/(6*x^2+9+7*x+6*x^4+5*x^3+5*x^6+2*x^5) lgdogf] A069183 12.7316 [-(1+5*x+4*x^2+5*x^3+x^4+14*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A069183 24.6576 [x^5+x^2+2*x+1 ogf_with_Euler_transform] A069183 6.49064 [-1/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A069190 13.2855 [-(x^2+22*x+1)/(x-1)^3 ogf] A069190 23.7841 [-(25+46*x+x^2)/(-1+x)/(x^2+22*x+1) lgdogf] A069190 7.16263 [(17*f(x)-230)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+22*x+1) ogf] A069190 7.22546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=73} ogf] A069195 12.3757 [-(19*x^6+19*x^5+6*x^4+20*x^3+23*x^2+20*x+13)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A069214 4.72306 [(7*x^60-14*x^59-5*x^58+90*x^8-60*x^7-105*x^6+90*x^5+90*x^4+50*x^3+50*x^2+20*x+25)/(4*x^60-2*x^59-x^58+30*x^8-45*x^6+5*x^4+5*x^2+5) ogf] A069214 7.85784 [-(f(x)-6)*(f(x)*x^4-3*x^4-2*f(x)*x^2+2*x^3+5*x^2+f(x)-4*x-5) ogf] A069229 12.1597 [-2*(-5+18*x+12*x^3-24*x^2)/(x-1)/(2*x-1)/(3+6*x^2-8*x) lgdogf] A069229 3.76681 [{(2*n^2+10*n+12)*a(n+1)+(-3*n^2-12*n-9)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=3,a(2)=10} ogf] A069229 4.83134 [(38*f(x)+107)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*x^3-6*f(x)*x+8*x^2+f(x)-3*x) ogf] A069229 8.88967 [x*(6*x^2-8*x+3)/(2*x-1)^2/(x-1)^2 ogf] A069241 10.5597 [-(2*x^4+5*x^3-6*x^2+2*x-1)*(x^2-x+1)/(x-1)/(x^3+x^2-2*x+1)/(x^3+x-1) lgdogf] A069241 9.48053 [-(x^3+x^2-2*x+1)/(x^3+x-1)/(x-1)^2 ogf] A069271 22.5520 [1/2*(1-2*x+(1-4*x)^(1/2))*x revogf] A069271 4.03300 [{(256*n^3+1408*n^2+2544*n+1512)*a(n+1)+(-27*n^3-189*n^2-438*n-336)*a(n+2),a(0)=1,a(1)=2} ogf] A069294 3.6455 [-(19375031149*f(x)-9214962840)*(16*f(x)*x^4+14*f(x)*x^3-34*f(x)*x^2+16*x^3+12*f(x)*x+14*x^2-f(x)-34*x+12) ogf] A069294 6.00666 [-(55-394*x+224*x^5-446*x^4-284*x^3+128*x^6+770*x^2)/(8*x-1)/(2*x^3+2*x^2-4*x+1)/(8*x^3+7*x^2-17*x+6) lgdogf] A069294 7.20522 [-2*(8*x^3+7*x^2-17*x+6)/(8*x-1)/(2*x^3+2*x^2-4*x+1) ogf] A069306 10.0164 [-(17*f(x)-13)*(f(x)*x^2+2*f(x)*x-f(x)+2*x+5) ogf] A069306 10.9818 [{-a(n+2)+2*a(n+1)+a(n),a(0)=5,a(1)=12} ogf] A069306 20.2553 [-(2*x+5)/(x^2+2*x-1) ogf] A069306 7.80277 [1/2/(2+x)*(-5-2*x+(25+28*x+8*x^2)^(1/2)) revogf] A069306 9.17972 [-2*(x+3)*(x+2)/(2*x+5)/(x^2+2*x-1) lgdogf] A069307 6.02272 [-(8*x^4-14*x^3+37*x-21)/(2*x^5-4*x^4+x^3+9*x^2-7*x+1) ogf] A069325 5.58152 [-(x^3-x+1)/(2*x^2+2*x-1)/(2*x^5-4*x^4+x^3+9*x^2-7*x+1) ogf] A069361 13.1567 [-(2*x+1)/(8*x-1)/(2*x^2-7*x+1) ogf] A069361 13.1745 [-(17-116*x-68*x^2+64*x^3)/(2*x+1)/(8*x-1)/(2*x^2-7*x+1) lgdogf] A069361 6.24385 [{a(n+3)-15*a(n+2)+58*a(n+1)-16*a(n),a(0)=1,a(1)=17,a(2)=197} ogf] A069361 6.29722 [(9910085*f(x)-270128)*(16*f(x)*x^3-58*f(x)*x^2+15*f(x)*x-f(x)+2*x+1) ogf] A069362 6.88325 [-(8*x^3+16*x^2-6*x-1)/(16*x-1)/(8*x^4+80*x^3-74*x^2+19*x-1) ogf] A069378 5.35637 [-(2*x^4-2*x^3-x^2+12*x-7)/(2*x^5-4*x^4+x^3+9*x^2-7*x+1) ogf] A069396 6.10919 [-(25-346*x+1272*x^2-464*x^3-992*x^4+384*x^5)/(2*x+1)/(8*x-1)/(2*x^2-7*x+1)/(4*x^2-6*x+1) lgdogf] A069396 6.46082 [-(2*x+1)^2/(8*x-1)/(2*x^2-7*x+1)/(4*x^2-6*x+1) ogf] A069403 12.1059 [-(3-6*x+3*x^2-2*x^3+x^4)/(x-1)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A069403 12.1996 [-(x^2-x+1)/(x-1)/(x^2-3*x+1) ogf] A069403 6.6444 [(10*f(x)-1)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-x+1) ogf] A069403 6.64440 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A069417 2.73511 [(2*x+1)/(2*x^2-7*x+1)/(4*x^2-6*x+1) ogf] A069417 5.50521 [(46467905*f(x)+1164998)*(8*f(x)*x^4-40*f(x)*x^3+48*f(x)*x^2-13*f(x)*x+f(x)-2*x-1) ogf] A069429 11.3968 [-1/4*(-3-6*x+((10*x+9)*(1+2*x))^(1/2))/(1+2*x) revogf] A069429 11.9164 [-(2*x-3)/(4*x^2-6*x+1) ogf] A069429 14.5626 [-8*(x-1)*(x-2)/(2*x-3)/(4*x^2-6*x+1) lgdogf] A069429 6.46067 [{-a(n+2)+6*a(n+1)-4*a(n),a(0)=3,a(1)=16} ogf] A069429 8.79262 [(1131*f(x)+703)*(4*f(x)*x^2-6*f(x)*x+f(x)+2*x-3) ogf] A069430 4.64817 [-(8*x^4+40*x^3-88*x^2+45*x-7)/(16*x^5+80*x^4-180*x^3+98*x^2-19*x+1) ogf] A069440 3.00453 [-(18452819*f(x)-1708752)*(4*f(x)*x^4+3*f(x)*x^3-13*f(x)*x^2+7*f(x)*x+2*x^2-f(x)+2*x+2) ogf] A069440 5.97067 [-(8-24*x-11*x^2+22*x^3+15*x^4+8*x^5)/(x-1)/(4*x-1)/(x^2+x+1)/(x^2+2*x-1) lgdogf] A069440 6.30951 [-2*(x^2+x+1)/(x-1)/(4*x-1)/(x^2+2*x-1) ogf] A069473 6.73039 [-2*(x^4+26*x^3+156*x^2+146*x+31)/(x-1)^5 ogf] A069473 8.54316 [-(1351+56*x+546*x^2-184*x^3+31*x^4)/(x-1)/(31*x^4-154*x^3+336*x^2-154*x+301) lgdogf] A069474 12.3229 [-(-91+77*x-43*x^2+9*x^3)/(x-1)/(9*x^3-35*x^2+49*x-35) lgdogf] A069474 3.54087 [{(11*n^2+61*n+78)*a(n+1)+(8*n^2+151*n+375)*a(n+2)+(-19*n^2-122*n-195)*a(n+3),a(0)=540,a(1)=2100,a(2)=5460} ogf] A069474 4.67298 [(16*f(x)+7285)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+60*x^3-4*f(x)*x-300*x^2+f(x)+60*x-540) ogf] A069474 8.27625 [-60*(x^3-5*x^2+x-9)/(x-1)^4 ogf] A069475 10.8949 [-120*(4*x^2-11*x+13)/(x-1)^3 ogf] A069475 17.8486 [-(49-44*x+13*x^2)/(x-1)/(13*x^2-35*x+28) lgdogf] A069475 5.87304 [(2465*f(x)-2871966)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+480*x^2-f(x)-1320*x+1560) ogf] A069475 6.21281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1560,a(1)=3360,a(2)=5880} ogf] A069476 14.5449 [-360*(3*x-5)/(x-1)^2 ogf] A069476 17.5990 [-(-1260-x+12*(11025+5*x)^(1/2))/(1800+x) revogf] A069476 30.6069 [-(-9+5*x)/(x-1)/(5*x-7) lgdogf] A069476 7.8083 [(4*f(x)+14409)*(f(x)*x^2-2*f(x)*x+f(x)+1080*x-1800) ogf] A069476 8.42942 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1800,a(1)=2520} ogf] A069477 12.2483 [-30*(5*x^2-14*x+13)/(x-1)^3 ogf] A069477 21.2101 [-(25-18*x+5*x^2)/(x-1)/(5*x^2-14*x+13) lgdogf] A069477 6.78213 [(71*f(x)-1950)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+150*x^2-f(x)-420*x+390) ogf] A069477 6.89611 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=390,a(1)=750,a(2)=1230} ogf] A069478 11.5477 [-f(x)*x^2+2*f(x)*x-f(x)-240*x+360 ogf] A069478 15.7898 [-120*(2*x-3)/(x-1)^2 ogf] A069478 20.5067 [-(-180-x+2*(8100+30*x)^(1/2))/(240+x) revogf] A069478 32.9890 [-2*(-2+x)/(x-1)/(2*x-3) lgdogf] A069478 8.99649 [{-a(n+2)+2*a(n+1)-a(n),a(0)=360,a(1)=480} ogf] A069480 11.4730 [(x^4-2*x^2-2*x+1)/(x^2+1)^3 ogf] A069480 17.9559 [-2*(1+5*x+x^5-5*x^2-6*x^3)/(1+x^2)/(x^4-2*x^2-2*x+1) lgdogf] A069497 10.2926 [-(6-2*x+3*x^6+12*x^5+5*x^2+26*x^3-14*x^4)/(x-1)/(x^2+4*x+1)/(x^2-x+1)/(x^2+1) lgdogf] A069497 6.93116 [-6*x*(x^2+4*x+1)*(x^2-x+1)/(x^2+1)^2/(x-1)^3 ogf] A069498 5.86056 [-(12+26*x+47*x^7+31*x^6+75*x^5+3*x^9+45*x^8+25*x^2+57*x^3+159*x^4)/(x-1)/(x+1)/(x^2+1)/(x^6+11*x^5+7*x^4+2*x^3+7*x^2+11*x+1) lgdogf] A069498 6.04734 [-10*x*(x^6+11*x^5+7*x^4+2*x^3+7*x^2+11*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A069499 6.14733 [-(5+15*x+30*x^7+16*x^6+51*x^5+3*x^9+17*x^8+13*x^2+39*x^3+63*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4+5*x^3+9*x^2+5*x+1) lgdogf] A069499 6.27152 [-21*(x^2-x+1)*(x^4+5*x^3+9*x^2+5*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A069505 5.58427 [(3-52*x+3300*x^6-6060*x^5+181*x^2+306*x^3+2313*x^4)/(x-1)/(10*x-1)/(110*x^5-61*x^4-25*x^3-16*x^2-8*x+1) lgdogf] A069505 6.99004 [(110*x^5-61*x^4-25*x^3-16*x^2-8*x+1)/(10*x-1)/(x-1) ogf] A069506 4.72084 [-(222095*f(x)-1241448)*(10*f(x)*x^2-40*x^3-11*f(x)*x+24*x^2+f(x)+17*x-2) ogf] A069506 4.80018 [{-a(n+4)+11*a(n+3)-10*a(n+2),a(0)=2,a(1)=5,a(2)=11,a(3)=111} ogf] A069506 7.99205 [(5-88*x+554*x^2-880*x^3+400*x^4)/(x-1)/(10*x-1)/(40*x^3-24*x^2-17*x+2) lgdogf] A069506 8.65486 [(40*x^3-24*x^2-17*x+2)/(10*x-1)/(x-1) ogf] A069507 4.02268 [(4066888888150*f(x)-224694911281231)*(-440*x^4+10*f(x)*x^2+404*x^3-11*f(x)*x+4*x^2+f(x)+35*x-4) ogf] A069507 6.14773 [(9-88*x+8800*x^5-818*x^2+10648*x^3-18560*x^4)/(x-1)/(10*x-1)/(440*x^4-404*x^3-4*x^2-35*x+4) lgdogf] A069507 7.51607 [(440*x^4-404*x^3-4*x^2-35*x+4)/(10*x-1)/(x-1) ogf] A069508 4.26886 [-(336109515*f(x)-16291233566)*(10*f(x)*x^2-440*x^3-11*f(x)*x+434*x^2+f(x)+11*x-6) ogf] A069508 4.54878 [{-a(n+4)+11*a(n+3)-10*a(n+2),a(0)=6,a(1)=55,a(2)=111,a(3)=1111} ogf] A069508 7.05701 [(55-988*x+6204*x^2-9680*x^3+4400*x^4)/(x-1)/(10*x-1)/(440*x^3-434*x^2-11*x+6) lgdogf] A069508 8.16104 [(440*x^3-434*x^2-11*x+6)/(10*x-1)/(x-1) ogf] A069510 5.05735 [(440*x^11-404*x^10+36*x^9-9*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(10*x-1)/(x-1) ogf] A069515 10.2568 [3*(x-1)*x/(3*x-1)^3 ogf] A069515 23.8297 [-2*(-4+3*x)/(3*x-1)/(x-1) lgdogf] A069515 5.30833 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=3,a(2)=24} ogf] A069515 5.55184 [(8*f(x)+3)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-3*x^2-f(x)+3*x) ogf] A069532 4.20697 [2*(45*x^16-45*x^15+45*x^14-45*x^13+45*x^12-45*x^11+45*x^10-45*x^9+5*x^8-4*x^7+5*x^6-4*x^5+5*x^4-4*x^3+5*x^2-4*x+5)/(x-1)/(10*x^9-1) ogf] A069534 4.79140 [5*(72*x^13-18*x^12-18*x^11-18*x^10-18*x^9+2*x^8+2*x^7+2*x^6+2*x^5-7*x^4+2*x^3+2*x^2+2*x+2)/(x-1)/(10*x^9-1) ogf] A069697 3.81283 [3/2+3/2*(64*x^12+1)^(1/2) ogf_with_Euler_transform] A069700 3.59822 [3/2+1/2*(1020*x^12+9)^(1/2) ogf_with_Euler_transform] A069705 12.548 [-(f(x)+3)*(f(x)*x^3+4*x^2-f(x)+2*x+1) ogf] A069705 13.0433 [{a(n+3)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A069705 17.3692 [-(2+8*x+4*x^4+4*x^3+3*x^2)/(x-1)/(1+x^2+x)/(4*x^2+2*x+1) lgdogf] A069705 20.2305 [-(4*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A069720 10.2909 [-16*f(x)^2*x^2+2*f(x)^2*x-8*f(x)*x+f(x)-1 ogf] A069720 30.2726 [x*(1+2*x)/(1+4*x)^2 revogf] A069720 7.64462 [{(-8*n-20)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=6} ogf] A069721 6.35069 [{(-8*n^2-4*n)*a(n)+(n^2+n-2)*a(n+1),a(0)=0,a(1)=0,a(2)=4} ogf] A069721 7.34689 [-16*f(x)^2*x^2+2*f(x)^2*x+16*f(x)*x^2-10*f(x)*x-4*x^2+f(x) ogf] A069722 29.6420 [1/8*x*(2+x)/(1+x)^2 revogf] A069722 6.02299 [{(-8*n-4)*a(n)+(n+1)*a(n+1),a(0)=0,a(1)=4} ogf] A069722 7.73223 [-8*f(x)^2*x+f(x)^2-16*f(x)*x+2*f(x)-8*x ogf] A069723 6.46960 [{(-8*n-4)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=2} ogf] A069723 8.50798 [-8*f(x)^2*x+f(x)^2+8*f(x)*x-f(x)-2*x ogf] A069726 3.94660 [{(243*n^3+243*n^2+54*n)*a(n)+(-93*n^3-447*n^2-702*n-360)*a(n+1)+(4*n^3+30*n^2+74*n+60)*a(n+2),a(0)=1,a(1)=1} ogf] A069726 5.69395 [-81*f(x)^3*x^2+81*f(x)^2*x^2-18*f(x)^2*x-27*f(x)*x^2+66*f(x)*x+3*x^2-f(x)-47*x+1 ogf] A069731 16.3907 [1/2*(-1+(1+4*x)^(1/2))/(1+4*x) revogf] A069731 4.79523 [{(-8*n-28)*a(n+1)+(n+5)*a(n+2),a(0)=1,a(1)=5} ogf] A069731 6.14023 [-16*x^3*f(x)^2-8*f(x)*x^2-4*f(x)*x+f(x)-x-1 ogf] A069736 11.1106 [-2+3*x+(1+12*x^2-8*x)*f(x)+(-8*x^2+12*x^3+x)*f(x)^2 lgdegf] A069736 3.17569 [{(12*n^3+72*n^2+141*n+90)*a(n+1)+(-8*n^2-44*n-60)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=13} ogf] A069745 17.6717 [x*(x^6+x^5+x^4+x+1) ogf_with_Euler_transform] A069745 5.17385 [-1/(x^2+1)/(x^2-x+1)/(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A069746 6.26869 [-(111*x^9-11*x^8-90*x^7-9*x^6-x^5-x^4-9*x^3-90*x^2-11*x-1000)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A069755 6.70003 [(x^6-3*x^4+9*x^2+12*x+17)/(x+1)^3/(x-1)^4 ogf] A069755 8.78372 [-(29+149*x+33*x^3+81*x^2-3*x^4-3*x^5+x^6+x^7)/(x-1)/(x+1)/(x^6-3*x^4+9*x^2+12*x+17) lgdogf] A069756 13.4858 [-(-119-4*x-4*x^3+6*x^2+x^4)/(x-1)/(x^4-4*x^3+6*x^2-4*x-23) lgdogf] A069756 5.13805 [{(n+6)*a(n+1)+(-2*n-9)*a(n+2)+(n+3)*a(n+3),a(0)=23,a(1)=119,a(2)=359} ogf] A069756 8.29581 [(x^4-4*x^3+6*x^2-4*x-23)/(x-1)^5 ogf] A069759 5.89091 [(x^4-4*x^3+6*x^2-112*x-107)/(x-1)^5 ogf] A069759 9.05028 [-(-647-436*x-4*x^3+6*x^2+x^4)/(x-1)/(x^4-4*x^3+6*x^2-112*x-107) lgdogf] A069760 5.67648 [(x^4-4*x^3+6*x^2-52*x-47)/(x-1)^5 ogf] A069760 8.81289 [-(-287-196*x-4*x^3+6*x^2+x^4)/(x-1)/(x^4-4*x^3+6*x^2-52*x-47) lgdogf] A069763 4.76958 [(x^6-6*x^5+13*x^4-24*x^3-153*x^2-370*x-181)/(x-1)^7 ogf] A069763 6.67247 [-(-1637-2526*x-44*x^3-837*x^2+9*x^4-6*x^5+x^6)/(x-1)/(x^6-6*x^5+13*x^4-24*x^3-153*x^2-370*x-181) lgdogf] A069764 5.22452 [(x^6-6*x^5+13*x^4-20*x^3-69*x^2-150*x-89)/(x-1)^7 ogf] A069764 7.44222 [-(-773-1038*x-28*x^3-405*x^2+9*x^4-6*x^5+x^6)/(x-1)/(x^6-6*x^5+13*x^4-20*x^3-69*x^2-150*x-89) lgdogf] A069778 11.8089 [(3*x^2+2*x+1)/(x-1)^4 ogf] A069778 26.6620 [-6*(x+1)^2/(x-1)/(3*x^2+2*x+1) lgdogf] A069778 4.09453 [{(-n-4)*a(n+4)+(3-n)*a(n+3)+(10-n)*a(n+2)+(9+3*n)*a(n+1),a(0)=1,a(1)=6,a(2)=21,a(3)=52} ogf] A069778 5.90443 [(55188*f(x)+128309)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A069779 6.27509 [-(15*x^5+175*x^4+344*x^3+168*x^2+17*x+1)/(x-1)^7 ogf] A069779 9.14806 [-6*(4+73*x+346*x^3+5*x^5+100*x^4+312*x^2)/(x-1)/(15*x^5+175*x^4+344*x^3+168*x^2+17*x+1) lgdogf] A069782 10.0124 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A069782 10.3787 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A069782 104.265 [-2/(x-1) lgdogf] A069782 25.7896 [1/(x-1)^2 ogf] A069782 36.2661 [4*x/(1+(1+4*x)^(1/2))^2 revogf] A069792 6.68537 [27+(-27+27*x)*f(x)+(9+9*x^2-18*x)*f(x)^2+(3*x-3*x^2+x^3-1)*f(x)^3 lgdogf] A069813 8.69694 [-2*(-1-3*x-6*x^3+x^7-2*x^4-7*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x-1)/(x^2+1) lgdogf] A069813 9.70332 [(x^2+1)*(x^2-x-1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A069816 6.49888 [2*x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A069835 12.0443 [-4*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A069835 17.7678 [-(-4*x+(12*x^2+1)^(1/2))*x/(2*x-1)/(2*x+1) revogf] A069835 33.9203 [-4*(x-1)/(4*x^2+1-8*x) lgdogf] A069835 4.99203 [{(-n-3)*a(n+3)+(20+8*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=1,a(1)=4,a(2)=22} ogf] A069871 6.47129 [(9+22*x-40*x^3+600*x^8-1320*x^6+756*x^4-99*x^2)/(x-1)/(3*x+1)/(x+1)/(10*x^2-1)/(20*x^4-22*x^2+3) lgdogf] A069882 5.59304 [2*(1-19*x+81*x^3+1000*x^7-1510*x^6+258*x^5+81*x^4+81*x^2)/(x-1)/(10*x-1)/(50*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1) lgdogf] A069882 7.19738 [(50*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(10*x-1)/(x-1) ogf] A069894 11.3218 [1/3*(2*HeunG(4/9,1/4,-1/6,1/6,1/2,-1,-3*x)*(27*x+4)^(1/2)-4+3*x)/(2+x) revogf] A069894 13.2433 [-2*(x+1)^2/(x-1)^3 ogf] A069894 38.2479 [[5-2*x] ogf_with_Euler_transform] A069894 44.0294 [-(5+x)/(x-1)/(x+1) lgdogf] A069894 7.08634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=10,a(2)=26} ogf] A069894 7.14906 [(19*f(x)-60)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+4*x+2) ogf] A069905 14.6446 [-x^3/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A069905 20.2078 [-(2*x+1)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A069905 30.6897 [[x^2+x+1] ogf_with_Euler_transform] A069906 12.9377 [-x^10+x^7+x^5+x^4+x^3+x+1 ogf_with_Euler_transform] A069908 7.27888 [(2*x^8+x^7+x^6+x^5+6*x^4+x^3+x^2+x+2)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A069909 7.85543 [(x+1)*(x^4+x^3-2*x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A069909 8.82903 [-(4-3*x^6+9*x^5+x^4+5*x^8-3*x^7+5*x^3+x^9-3*x^2)/(x-1)/(x+1)/(x^4+x^3-2*x^2+x+1)/(x^4+1) lgdogf] A069921 12.2548 [-(2*x^2-3*x-1)/(x+1)/(x^2-3*x+1) ogf] A069921 13.5939 [-(5+2*x^4-6*x^3+7*x^2)/(x+1)/(x^2-3*x+1)/(2*x^2-3*x-1) lgdogf] A069921 6.33508 [-(127*f(x)+23)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-3*x-1) ogf] A069921 6.61541 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=10} ogf] A069926 19.0721 [(-1-5*x^4-27*x^26+4*x^5+26*x^27)/(x-1)/(x^27+x^5+1) lgdogf] A069926 19.8259 [-(x^27+x^5+1)/(x-1) ogf] A069951 7.76722 [-(x^9-2*x^8-18*x^7-8*x^6+x^5-x^4-7*x^3-18*x^2-x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A069957 19.0207 [x^4+2*x^3+x^2+2*x+2 ogf_with_Euler_transform] A069957 6.26783 [-(2+10*x+48*x^3+23*x^2+72*x^4+22*x^9+92*x^5+89*x^6+76*x^7+46*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A069959 10.5579 [-(5-4*x-6*x^3+11*x^2+4*x^4)/(x-1)/(4*x+1)/(x+1)/(x^2-3*x+1) lgdogf] A069959 12.9915 [-(4*x+1)*(x-1)/(x+1)/(x^2-3*x+1) ogf] A069959 6.77332 [(8983*f(x)-6055)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-3*x-1) ogf] A069959 7.07571 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=8} ogf] A069960 10.4723 [-(10-14*x-16*x^3+31*x^2+9*x^4)/(x-1)/(9*x+1)/(x+1)/(x^2-3*x+1) lgdogf] A069960 12.5860 [-(9*x+1)*(x-1)/(x+1)/(x^2-3*x+1) ogf] A069960 6.34499 [(198123*f(x)-261910)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+9*x^2+f(x)-8*x-1) ogf] A069960 6.73460 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=13} ogf] A069961 12.5071 [-(16*x+1)*(x-1)/(x+1)/(x^2-3*x+1) ogf] A069961 6.30358 [(1791295*f(x)-4001443)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+16*x^2+f(x)-15*x-1) ogf] A069961 6.91182 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=17,a(2)=20} ogf] A069961 9.67248 [-(17-28*x-30*x^3+59*x^2+16*x^4)/(x-1)/(16*x+1)/(x+1)/(x^2-3*x+1) lgdogf] A069962 11.9007 [-(25*x+1)*(x-1)/(x+1)/(x^2-3*x+1) ogf] A069962 5.90351 [(10096459*f(x)-34401094)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+25*x^2+f(x)-24*x-1) ogf] A069962 6.57671 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=26,a(2)=29} ogf] A069962 9.87612 [-(26-46*x-48*x^3+95*x^2+25*x^4)/(x-1)/(25*x+1)/(x+1)/(x^2-3*x+1) lgdogf] A069963 12.0065 [-(36*x+1)*(x-1)/(x+1)/(x^2-3*x+1) ogf] A069963 5.90946 [(41995095*f(x)-203330503)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+36*x^2+f(x)-35*x-1) ogf] A069963 6.63517 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=37,a(2)=40} ogf] A069963 9.06239 [-(37-68*x-70*x^3+139*x^2+36*x^4)/(x-1)/(36*x+1)/(x+1)/(x^2-3*x+1) lgdogf] A069975 18.9001 [-2*(x+7)*(5*x+3)/(x-1)/(5*x^2+22*x+5) lgdogf] A069975 5.13157 [(1312*f(x)+65727)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-15*x^2+f(x)-66*x-15) ogf] A069975 9.90678 [3*(5*x^2+22*x+5)/(x-1)^4 ogf] A069981 16.5163 [-3*(-1-x+2*x^3-2*x^2)/(x-1)/(x+1)/(2*x^2-2*x-1) lgdogf] A069981 4.12862 [{(-n^3-5*n^2+8*n)*a(n)+(-n^2+3*n+4)*a(n+1)+(n^3+2*n^2-15*n+12)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A069981 9.18011 [x^3*(2*x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A069982 12.1185 [-4*(-1-4*x-3*x^3-3*x^2+3*x^4)/(x-1)/(x+1)/(3*x^3-3*x^2-3*x-1) lgdogf] A069982 6.78192 [-x^4*(3*x^3-3*x^2-3*x-1)/(x+1)^3/(x-1)^4 ogf] A069983 5.36763 [x^5*(4*x^4-4*x^3-6*x^2-4*x-1)/(x+1)^4/(x-1)^5 ogf] A069983 9.69774 [-5*(-1-5*x-6*x^3-10*x^2-4*x^4+4*x^5)/(x-1)/(x+1)/(4*x^4-4*x^3-6*x^2-4*x-1) lgdogf] A069984 13.5381 [-1/2*(-1123-2*x+(1261129+85840*x)^(1/2))/(-20337+x) revogf] A069984 13.5394 [(20337*x+1123)/(x-1)^2 ogf] A069984 18.6606 [-(22583+20337*x)/(20337*x+1123)/(x-1) lgdogf] A069984 6.76969 [(42920*f(x)+461792729)*(f(x)*x^2-2*f(x)*x+f(x)-20337*x-1123) ogf] A069984 7.91065 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1123,a(1)=22583} ogf] A069993 11.2942 [-(-27+55*x+16*x^3-8*x^2)/(x-1)/(4*x-1)/(4*x^2-3*x+5) lgdogf] A069993 4.95589 [(248841*f(x)-139420)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-3*x+5) ogf] A069993 5.21445 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=5,a(1)=27,a(2)=121} ogf] A069993 9.83052 [-(4*x^2-3*x+5)/(4*x-1)/(x-1)^2 ogf] A069996 11.6298 [-(3*x+1)/(3*x-1)^3 ogf] A069996 23.2259 [-6*(2+3*x)/(-1+3*x)/(3*x+1) lgdogf] A069996 5.51414 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=12,a(2)=81} ogf] A069996 5.86826 [(236*f(x)-321)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+3*x+1) ogf] A070004 14.4776 [-5*(x+1)^2/(2*x^2-1) ogf] A070004 27.2819 [-2*(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A070004 8.41721 [{-a(n+3)+2*a(n+1),a(0)=5,a(1)=10,a(2)=15} ogf] A070004 9.28051 [(51*f(x)-95)*(2*f(x)*x^2+5*x^2-f(x)+10*x+5) ogf] A070031 17.4530 [1/2*(-2-7*x+((8*x+1)*(2+x)^2)^(1/2))/(x-1)^2 revogf] A070031 4.33952 [{(4*n^2+18*n+20)*a(n+1)+(3*n^2+24*n+52)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=1,a(1)=4,a(2)=13} ogf] A070031 9.64337 [x^3*f(x)^2-2*f(x)*x^2+7*f(x)*x-2*f(x)+x+2 ogf] A070047 12.7647 [-(x^4+x^3-x^2+x+1)/(x^6-1) ogf_with_Euler_transform] A070048 12.5797 [-(-x^6-x^4+x^3-x^2-1)/(-x^8+1) ogf_with_Euler_transform] A070048 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(7/16)/(2-2^(1/2))^(1/4) A070050 5.21694 [(2*f(x)+19)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+8*x^3-7*f(x)*x-21*x^2+f(x)+16*x-4) ogf] A070050 9.14575 [-(8*x^3-21*x^2+16*x-4)/(x-1)/(2*x-1)^3 ogf] A070051 5.91159 [-(32*x^5-140*x^4+213*x^3-154*x^2+55*x-8)/(x-1)/(2*x-1)^5 ogf] A070052 4.78367 [-(128*x^7-799*x^6+1835*x^5-2199*x^4+1542*x^3-647*x^2+153*x-16)/(x-1)/(2*x-1)^7 ogf] A070053 4.02985 [-(512*x^9-4204*x^8+12965*x^7-21713*x^6+22623*x^5-15536*x^4+7137*x^3-2141*x^2+385*x-32)/(x-1)/(2*x-1)^9 ogf] A070071 17.0916 [-a(n)+(n+1)*a(n+1),a(0)=2,a(1)=1 lgdegf] A070189 10.8186 [49382716*x/(12345679+(152415789971041+49382716*x)^(1/2))^2 revogf] A070189 14.4717 [12345679*x/(x-1)^2 ogf] A070189 7.23584 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=12345679} ogf] A070189 78.4351 [-2/(x-1) lgdogf] A070189 9.6478 [-f(x)*x^2+2*f(x)*x-f(x)+12345679*x ogf] A070191 8.10918 [(5+9*x+x^3+30*x^20-102*x^19-34*x^18+72*x^17+34*x^21+9*x^2)/(x-1)/(x+1)/(2*x^20+2*x^19-4*x^18-x^2-4*x-1) lgdogf] A070191 9.67753 [-(2*x^20+2*x^19-4*x^18-x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A070199 11.8795 [-(10*x^2-9*x-10)/(x-1)/(10*x^2-1) ogf] A070199 6.22717 [-(899*f(x)+3430)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+10*x^2+f(x)-9*x-10) ogf] A070199 6.54381 [{-a(n+3)+a(n+2)+10*a(n+1)-10*a(n),a(0)=10,a(1)=19,a(2)=109} ogf] A070199 9.48741 [-(19+180*x-180*x^3+100*x^4-200*x^2)/(x-1)/(10*x^2-1)/(10*x^2-9*x-10) lgdogf] A070207 12.2649 [(5*x^2+x-1)/(x^3+2*x^2+3*x-1) ogf] A070207 12.6719 [-(-2+6*x+2*x^3+5*x^4-16*x^2)/(5*x^2+x-1)/(x^3+2*x^2+3*x-1) lgdogf] A070207 6.1831 [-(1025*f(x)-2184)*(f(x)*x^3+2*f(x)*x^2+3*f(x)*x-5*x^2-f(x)-x+1) ogf] A070207 6.67996 [{-a(n+3)+3*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A070212 12.5291 [-5*(2+2*x+2*x^2+2*x^3+x^4)/(x-1)/(x^4+x^3+x^2+x+1) lgdogf] A070212 24.3385 [[-x^4+10] ogf_with_Euler_transform] A070212 4.81039 [-(x^4+x^3+x^2+x+1)/(x-1)^9 ogf] A070232 15.4911 [(x^5+2*x-4)/(2*x-1) ogf] A070232 19.5247 [(6-5*x^4+8*x^5)/(2*x-1)/(x^5+2*x-4) lgdogf] A070252 12.2565 [(10*x^2-9*x-10)/(10*x^2-1) ogf] A070252 14.1923 [9*(1+20*x+10*x^2)/(10*x^2-1)/(10*x^2-9*x-10) lgdogf] A070252 7.32572 [{-a(n+3)+10*a(n+1),a(0)=10,a(1)=9,a(2)=90} ogf] A070252 7.67876 [(110*f(x)-1091)*(10*f(x)*x^2-10*x^2-f(x)+9*x+10) ogf] A070260 11.0959 [(x^4-6*x^2-2*x-3)/(x+1)^3/(x-1)^3 ogf] A070260 13.2367 [-2*(-1-15*x-10*x^3-5*x^2+x^5)/(x-1)/(x+1)/(-3-6*x^2-2*x+x^4) lgdogf] A070260 6.92311 [{(n+6)*a(n+1)+(-n-2)*a(n+3),a(0)=3,a(1)=2,a(2)=15} ogf] A070261 6.32198 [{(n+8)*a(n+1)+(-n-2)*a(n+4),a(0)=4,a(1)=10,a(2)=2,a(3)=28} ogf] A070261 7.82576 [-(-5-2*x-60*x^3-42*x^2-7*x^4-42*x^5-18*x^6+3*x^8+2*x^9)/(x-1)/(x^2+x+1)/(x^7+x^6-5*x^4-8*x^3-x^2-5*x-2) lgdogf] A070261 8.21858 [2*(x^7+x^6-5*x^4-8*x^3-x^2-5*x-2)/(x-1)^3/(x^2+x+1)^3 ogf] A070262 6.61664 [(3*x^10+x^9+3*x^8-14*x^6-6*x^5-30*x^4-2*x^3-21*x^2-3*x-5)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A070302 11.0574 [-(19+128*x+32*x^3+x^4+150*x^2)/(x-1)/(x^4+14*x^3+36*x^2+14*x+1) lgdogf] A070302 7.24977 [-(x^4+14*x^3+36*x^2+14*x+1)/(x-1)^5 ogf] A070313 12.1605 [-x*(3*x-1)/(2*x-1)/(x-1)^2 ogf] A070313 18.1495 [-(1-9*x+12*x^2)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A070313 6.24457 [-(f(x)-1)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-x) ogf] A070313 6.24458 [{-a(n+3)+4*a(n+2)-5*a(n+1)+2*a(n),a(0)=0,a(1)=-1,a(2)=-1} ogf] A070315 6.16264 [-(-21+14*x-964*x^3+72*x^7-300*x^6+302*x^5+563*x^4+382*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(12*x^5-40*x^4+39*x^3+9*x^2-11*x-1) lgdogf] A070315 6.16727 [-(12*x^5-40*x^4+39*x^3+9*x^2-11*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A070333 12.6670 [-3*(1+x+3*x^2+x^3+x^4+x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A070333 25.7064 [-x^5+2*x^2+3 ogf_with_Euler_transform] A070333 9.25817 [(x^2-x+1)*(x+1)/(x^2+x+1)/(x-1)^4 ogf] A070335 7.03334 [-(12*x^10+6*x^9+3*x^8+13*x^7+18*x^6+9*x^5+16*x^4+8*x^3+4*x^2+2*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070336 6.42300 [-(13*x^10+6*x^9+3*x^8-11*x^7+7*x^6-9*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A070337 6.76393 [-(14*x^9-7*x^8+10*x^7+5*x^6-11*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A070338 6.66778 [-(2+4*x+24*x^3-66*x^5+56*x^4-x^6+17*x^10+16*x^9+4*x^8+10*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(17*x^5+8*x^4+4*x^3+2*x^2+x+1) lgdogf] A070338 9.65914 [-(17*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A070339 6.17016 [-(18*x^11+9*x^10+22*x^9+11*x^8+23*x^7+29*x^6+32*x^5+16*x^4+8*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070340 6.31477 [-(20*x^8-10*x^7-5*x^6+17*x^5+9*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A070341 13.1794 [-(4*x^4+5*x^3+9*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070341 7.91067 [-(3+18*x+16*x^3+12*x^5+5*x^4+10*x^7+27*x^6+4*x^8+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(4*x^4+5*x^3+9*x^2+3*x+1) lgdogf] A070342 6.80005 [-(13*x^9+4*x^8-5*x^7-8*x^6+10*x^5-3*x^4-x^3+6*x^2+2*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A070343 6.25556 [-(17*x^10-3*x^9-x^8+8*x^7-14*x^6+12*x^5+4*x^4-7*x^3+6*x^2+2*x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A070345 6.31781 [-(12*x^11+4*x^10+13*x^9+16*x^8+17*x^7+29*x^6+33*x^5+11*x^4+27*x^3+9*x^2+3*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070346 6.66634 [-(25*x^9+8*x^8-22*x^7+5*x^6+14*x^5-20*x^4+18*x^3+6*x^2+2*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A070347 10.1964 [-(11*x^4+5*x^3+3*x^2+x+1)/(x^2-x+1)/(x-1)/(x^2+x+1) ogf] A070347 5.99037 [-f(x)*(f(x)*x^5-f(x)*x^4+f(x)*x^3+11*x^4-f(x)*x^2+5*x^3+f(x)*x+3*x^2-f(x)+x+1) ogf] A070347 8.78935 [-(2+4*x+32*x^3+20*x^5-23*x^4+10*x^7-7*x^6+11*x^8+14*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(11*x^4+5*x^3+3*x^2+x+1) lgdogf] A070348 6.91061 [-(21*x^10+10*x^9+5*x^8-18*x^7-9*x^6+16*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A070349 8.77115 [-(22*x^7-11*x^6+16*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070350 7.13739 [-(23*x^11+34*x^10+17*x^9+31*x^8+38*x^7+19*x^6+32*x^5+16*x^4+8*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070352 15.5098 [-(2*x^2+2*x+1)/(x-1)/(x^2+1) ogf] A070352 17.8392 [-(3+2*x+4*x^3+2*x^4-x^2)/(x-1)/(x^2+1)/(2*x^2+2*x+1) lgdogf] A070352 8.15603 [-(3*f(x)+13)*(f(x)*x^3-f(x)*x^2+f(x)*x+2*x^2-f(x)+2*x+1) ogf] A070352 8.44732 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=4} ogf] A070353 15.7125 [-(5*x^2+x+1)/(x-1)/(x^2-x+1) ogf] A070353 17.4159 [-(3+6*x+2*x^3+5*x^4-9*x^2)/(x-1)/(x^2-x+1)/(5*x^2+x+1) lgdogf] A070353 8.19196 [-(7*f(x)+425)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+5*x^2-f(x)+x+1) ogf] A070353 8.55768 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A070354 10.7968 [{-a(n+4)+a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=11} ogf] A070354 11.1734 [(11*f(x)+51)*(f(x)*x^4+11*x^3+9*x^2-f(x)+3*x+1) ogf] A070354 11.3588 [-(3+18*x+4*x^3+18*x^5+9*x^4+11*x^6+33*x^2)/(x-1)/(x+1)/(11*x^3+9*x^2+3*x+1)/(x^2+1) lgdogf] A070354 16.5674 [-(11*x^3+9*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A070355 14.6276 [-(15*x^4+5*x^3+9*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070355 8.77044 [-(3+18*x+60*x^3+12*x^5+5*x^4+10*x^7+27*x^6+15*x^8+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(15*x^4+5*x^3+9*x^2+3*x+1) lgdogf] A070356 7.93882 [-(8*x^10+18*x^9+6*x^8+2*x^7+16*x^6+13*x^5+12*x^4+4*x^3+9*x^2+3*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070357 11.3785 [-(3+12*x-38*x^3+12*x^5+19*x^6+48*x^2)/(x-1)/(x+1)/(x^2-x+1)/(19*x^3+6*x^2+2*x+1) lgdogf] A070357 13.2565 [-(19*x^3+6*x^2+2*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070357 7.99963 [-f(x)*(f(x)*x^4-f(x)*x^3+19*x^3+f(x)*x+6*x^2-f(x)+2*x+1) ogf] A070358 9.76153 [-(11*x^7+25*x^6+19*x^5+17*x^4+27*x^3+9*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A070359 8.03412 [-(23*x^8-4*x^7+10*x^6-8*x^5-14*x^4+18*x^3+6*x^2+2*x+1)/(x-1)/(x^8+1) ogf] A070360 7.41626 [-(13*x^9+4*x^8+14*x^7-8*x^6+10*x^5-22*x^4+18*x^3+6*x^2+2*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A070361 11.6150 [-(14*x^4+18*x^3+6*x^2+2*x+1)/(x-1)/(x^4+1) ogf] A070361 7.58334 [f(x)*(f(x)*x^5-f(x)*x^4+14*x^4+18*x^3+f(x)*x+6*x^2-f(x)+2*x+1) ogf] A070361 9.78377 [-(3+12*x+16*x^3-4*x^5-43*x^4+36*x^7+14*x^8+48*x^2)/(x-1)/(14*x^4+18*x^3+6*x^2+2*x+1)/(x^4+1) lgdogf] A070362 8.25543 [-(15*x^9+5*x^8+31*x^7+25*x^6+23*x^5+37*x^4+27*x^3+9*x^2+3*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070363 7.39393 [-(31*x^10+41*x^9+29*x^8+25*x^7+39*x^6+13*x^5+35*x^4+27*x^3+9*x^2+3*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070365 11.5955 [-(5-2*x-10*x^3-2*x^5+13*x^4+3*x^6+7*x^2)/(x-1)/(x+1)/(x^2-x+1)/(3*x^3-x^2+4*x+1) lgdogf] A070365 13.7116 [-(3*x^3-x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070365 7.69187 [-(f(x)+9)*(f(x)*x^4-f(x)*x^3+3*x^3+f(x)*x-x^2-f(x)+4*x+1) ogf] A070366 12.3124 [-(5+4*x-8*x^3+4*x^5+10*x^4+2*x^6+x^2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3+2*x^2+4*x+1) lgdogf] A070366 14.3666 [-(2*x^3+2*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070366 8.0593 [-(f(x)-9)*(f(x)*x^4-f(x)*x^3+2*x^3+f(x)*x+2*x^2-f(x)+4*x+1) ogf] A070367 14.5554 [-(9*x^4+4*x^3+3*x^2+5*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070367 9.00621 [-(5+6*x+36*x^3+20*x^5+5*x^4+8*x^7+9*x^6+9*x^8+12*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^4+4*x^3+3*x^2+5*x+1) lgdogf] A070368 15.7526 [-(8*x^2+4*x+1)/(x-1)/(x^2+1) ogf] A070368 17.1415 [-(5+14*x+8*x^3+8*x^4-9*x^2)/(x-1)/(x^2+1)/(8*x^2+4*x+1) lgdogf] A070368 8.50364 [(f(x)-529)*(f(x)*x^3-f(x)*x^2+f(x)*x+8*x^2-f(x)+4*x+1) ogf] A070368 8.50364 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=12} ogf] A070369 15.7125 [-(3*x^2+3*x+1)/(x-1)/(x^2-x+1) ogf] A070369 16.7939 [-(5+2*x+6*x^3+3*x^4-9*x^2)/(x-1)/(x^2-x+1)/(3*x^2+3*x+1) lgdogf] A070369 8.48195 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A070369 8.55767 [(9*f(x)-65)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+3*x^2-f(x)+3*x+1) ogf] A070370 10.5595 [-(94*f(x)+967)*(f(x)*x^4+13*x^3+9*x^2-f(x)+5*x+1) ogf] A070370 11.2236 [-(5+18*x+4*x^3+18*x^5+15*x^4+13*x^6+39*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^3+9*x^2+5*x+1) lgdogf] A070370 16.5674 [-(13*x^3+9*x^2+5*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A070371 8.58475 [-(7*x^8+8*x^7-12*x^6+x^5+7*x^4-2*x^3+3*x^2+4*x+1)/(x-1)/(x^8+1) ogf] A070372 10.7092 [-(5+4*x-26*x^3+4*x^5+10*x^4+11*x^6+28*x^2)/(x-1)/(x+1)/(x^2-x+1)/(11*x^3+2*x^2+4*x+1) lgdogf] A070372 13.2565 [-(11*x^3+2*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070372 7.6062 [(6*f(x)-157)*(f(x)*x^4-f(x)*x^3+11*x^3+f(x)*x+2*x^2-f(x)+4*x+1) ogf] A070373 9.47103 [-(4*x^8+16*x^7+7*x^6+9*x^5+17*x^4+11*x^3+6*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070374 10.9672 [-(5-2*x-38*x^3-2*x^5+13*x^4+17*x^6+49*x^2)/(x-1)/(x+1)/(x^2-x+1)/(17*x^3-x^2+4*x+1) lgdogf] A070374 13.2565 [-(17*x^3-x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070374 7.42365 [-(2*f(x)-29)*(f(x)*x^4-f(x)*x^3+17*x^3+f(x)*x-x^2-f(x)+4*x+1) ogf] A070375 14.4559 [-(9*x^4+15*x^3+3*x^2+5*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070375 8.91350 [-(5+6*x+36*x^3+20*x^5+5*x^4+30*x^7+9*x^6+9*x^8+45*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^4+15*x^3+3*x^2+5*x+1) lgdogf] A070376 15.2220 [-(21*x^2+4*x+1)/(x-1)/(x^2+1) ogf] A070376 15.9662 [-(5+40*x+8*x^3+21*x^4-22*x^2)/(x-1)/(x^2+1)/(21*x^2+4*x+1) lgdogf] A070376 7.998 [-(3*f(x)-103)*(f(x)*x^3-f(x)*x^2+f(x)*x+21*x^2-f(x)+4*x+1) ogf] A070376 8.35190 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A070377 7.49925 [-(11*x^9+2*x^8-5*x^7-x^6+16*x^5-13*x^4-8*x^3+20*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A070378 8.20073 [-(5+40*x+88*x^3+8*x^5-45*x^4-16*x^7+54*x^6+17*x^8-46*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(17*x^4-8*x^3+21*x^2+4*x+1) lgdogf] A070378 9.76796 [-(17*x^4-8*x^3+21*x^2+4*x+1)/(x^2-x+1)/(x-1)/(x^2+x+1) ogf] A070379 9.04488 [-(6*x^7+x^6+6*x^5+7*x^4-16*x^3+20*x^2+4*x+1)/(x-1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070380 9.76153 [-(13*x^7+9*x^6+21*x^5+17*x^4+29*x^3+25*x^2+5*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A070381 8.11101 [-(20*x^9+4*x^8+14*x^7+16*x^6+23*x^5+31*x^4+26*x^3+25*x^2+5*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070382 7.97161 [-(7*x^8+8*x^7-12*x^6+18*x^5-10*x^4-2*x^3+20*x^2+4*x+1)/(x-1)/(x^8+1) ogf] A070383 11.9385 [-(29*x^5+13*x^4+17*x^3+25*x^2+5*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070385 9.04739 [-(23*x^8+35*x^7+7*x^6+9*x^5+17*x^4+11*x^3+25*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070386 10.7968 [{a(n+4)-a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=8} ogf] A070386 11.045 [(58*f(x)-461)*(f(x)*x^4+8*x^3+25*x^2-f(x)+5*x+1) ogf] A070386 11.3588 [-(5+50*x+4*x^3+50*x^5+15*x^4+8*x^6+24*x^2)/(x-1)/(x+1)/(x^2+1)/(8*x^3+25*x^2+5*x+1) lgdogf] A070386 16.5674 [-(8*x^3+25*x^2+5*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A070387 6.85865 [-(33*x^10-10*x^9-2*x^8+16*x^7-5*x^6-x^5+8*x^4-23*x^3+20*x^2+4*x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A070388 14.8269 [-(17*x^2+3*x+1)/(x-1)/(x^2-x+1) ogf] A070388 15.0306 [-(5+30*x+6*x^3+17*x^4-37*x^2)/(x-1)/(x^2-x+1)/(17*x^2+3*x+1) lgdogf] A070388 8.13509 [(8*f(x)-83)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+17*x^2-f(x)+3*x+1) ogf] A070388 8.13510 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A070390 14.0643 [-(9*x^4+37*x^3+25*x^2+5*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070390 8.48113 [-(5+50*x+36*x^3+20*x^5+5*x^4+74*x^7+75*x^6+9*x^8+111*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^4+37*x^3+25*x^2+5*x+1) lgdogf] A070391 4.57784 [-(37*x^10-39*x^9+11*x^8+11*x^7-25*x^6+13*x^5+3*x^4-9*x^3+17*x^2+3*x+1)/(x-1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070392 6.35568 [-(6-6*x-22*x^5-x^4-20*x^7+34*x^6+2*x^10+4*x^9+10*x^8+15*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(2*x^5+2*x^4+4*x^3-3*x^2+5*x+1) lgdogf] A070392 9.33079 [-(2*x^5+2*x^4+4*x^3-3*x^2+5*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A070393 10.2225 [-(11*x^6-7*x^5+x^4-2*x^3+4*x^2+5*x+1)/(x^4-x^2+1)/(x-1)/(x^2+1) ogf] A070394 8.54425 [-(3*x^8+6*x^7+x^6+3*x^5-8*x^4+10*x^3-4*x^2+5*x+1)/(x-1)/(x^8+1) ogf] A070395 9.42614 [-(16*x^8+9*x^7+11*x^6+5*x^5+4*x^4+7*x^3+17*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070396 7.93882 [-(4*x^10+16*x^9+18*x^8+3*x^7+12*x^6+2*x^5+8*x^4+9*x^3+13*x^2+6*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070397 13.3654 [-(21*x^4+16*x^3+11*x^2+6*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070397 8.10334 [-(6+22*x+84*x^3+24*x^5+5*x^4+32*x^7+33*x^6+21*x^8+48*x^2)/(x-1)/(21*x^4+16*x^3+11*x^2+6*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A070398 9.04488 [-(5*x^7+20*x^6-16*x^5+7*x^4+6*x^3+x^2+5*x+1)/(x-1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070399 11.3785 [-2*(3-x-29*x^3-x^5+8*x^4+13*x^6+38*x^2)/(x-1)/(x+1)/(x^2-x+1)/(26*x^3-x^2+5*x+1) lgdogf] A070399 13.2565 [-(26*x^3-x^2+5*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070399 7.36473 [-(5*f(x)-118)*(f(x)*x^4-f(x)*x^3+26*x^3+f(x)*x-x^2-f(x)+5*x+1) ogf] A070400 15.2220 [-(31*x^2+5*x+1)/(x-1)/(x^2+1) ogf] A070400 15.6956 [-(6+60*x+10*x^3+31*x^4-33*x^2)/(x-1)/(x^2+1)/(31*x^2+5*x+1) lgdogf] A070400 8.06636 [-(f(x)-46)*(f(x)*x^3-f(x)*x^2+f(x)*x+31*x^2-f(x)+5*x+1) ogf] A070400 8.35190 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=36} ogf] A070402 11.1381 [f(x)*x^3-f(x)*x^2+f(x)*x+3*x^2-f(x)+x+1 ogf] A070402 16.2507 [-(3*x^2+x+1)/(x-1)/(x^2+1) ogf] A070402 19.4536 [-(2+4*x+2*x^3+3*x^4-x^2)/(x-1)/(x^2+1)/(3*x^2+x+1) lgdogf] A070402 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A070403 12.8739 [(19*f(x)-93)*(f(x)*x^3+4*x^2-f(x)+7*x+1) ogf] A070403 13.0433 [{a(n+3)-a(n),a(0)=1,a(1)=7,a(2)=4} ogf] A070403 17.0645 [-(7+8*x+14*x^3+4*x^4+3*x^2)/(x-1)/(x^2+x+1)/(4*x^2+7*x+1) lgdogf] A070403 20.2305 [-(4*x^2+7*x+1)/(x-1)/(x^2+x+1) ogf] A070404 11.4067 [-(8*x^5+x^4-3*x^3-2*x^2+6*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A070404 7.43117 [-(7-4*x+10*x^3-50*x^5+32*x^4-2*x^7+36*x^6+8*x^10+2*x^9-10*x^8-7*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(8*x^5+x^4-3*x^3-2*x^2+6*x+1) lgdogf] A070405 10.1373 [-(2*x^6+2*x^5+4*x^4-5*x^3+3*x^2+6*x+1)/(x^4-x^2+1)/(x-1)/(x^2+1) ogf] A070406 11.045 [(18*f(x)+143)*(f(x)*x^4+13*x^3+4*x^2-f(x)+7*x+1) ogf] A070406 11.4973 [-(7+8*x+4*x^3+8*x^5+21*x^4+13*x^6+39*x^2)/(x-1)/(x+1)/(x^2+1)/(13*x^3+4*x^2+7*x+1) lgdogf] A070406 16.5674 [-(13*x^3+4*x^2+7*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A070407 8.58475 [-(5*x^8+3*x^7-2*x^6+7*x^5+x^4-12*x^3+8*x^2+6*x+1)/(x-1)/(x^8+1) ogf] A070408 10.7969 [-(19*x^5-10*x^4+8*x^3-2*x^2+6*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A070409 6.52643 [-(10*x^11-2*x^10+3*x^9+7*x^8+x^7-13*x^6+8*x^5-12*x^4+18*x^3-4*x^2+6*x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070410 15.2220 [-(18*x^2+6*x+1)/(x-1)/(x^2+1) ogf] A070410 16.2463 [-(6*x^2-8*x+7)*(3*x^2+6*x+1)/(x-1)/(x^2+1)/(18*x^2+6*x+1) lgdogf] A070410 8.06636 [(109*f(x)-5869)*(f(x)*x^3-f(x)*x^2+f(x)*x+18*x^2-f(x)+6*x+1) ogf] A070410 8.35190 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=24} ogf] A070411 9.65864 [-(15*x^6+2*x^5+4*x^4-18*x^3+16*x^2+6*x+1)/(x^4-x^2+1)/(x-1)/(x^2+1) ogf] A070412 8.92491 [-(4*x^8+16*x^7+10*x^6+13*x^5+25*x^4+19*x^3+22*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070413 10.7080 [-(25*x^6+16*x^5+23*x^4+24*x^3+20*x^2+7*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070414 15.2220 [-(13*x^2+6*x+1)/(x-1)/(x^2+1) ogf] A070414 15.6956 [-(7+24*x+12*x^3+13*x^4-16*x^2)/(x-1)/(x^2+1)/(13*x^2+6*x+1) lgdogf] A070414 8.27863 [(5*f(x)-554)*(f(x)*x^3-f(x)*x^2+f(x)*x+13*x^2-f(x)+6*x+1) ogf] A070414 8.35190 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=19} ogf] A070416 10.4863 [{-a(n+4)+a(n),a(0)=1,a(1)=7,a(2)=17,a(3)=23} ogf] A070416 10.8946 [-(7+34*x+4*x^3+34*x^5+21*x^4+23*x^6+69*x^2)/(x-1)/(x+1)/(x^2+1)/(23*x^3+17*x^2+7*x+1) lgdogf] A070416 10.974 [(3*f(x)+50)*(f(x)*x^4+23*x^3+17*x^2-f(x)+7*x+1) ogf] A070416 15.9960 [-(23*x^3+17*x^2+7*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A070417 5.59632 [-(19*x^8+12*x^7+16*x^6-12*x^5+22*x^4+3*x^3+10*x^2+6*x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070419 11.9385 [-(31*x^5+25*x^4+19*x^3+13*x^2+7*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070420 8.88261 [-(16*x^8+34*x^7+26*x^6+9*x^5+33*x^4+10*x^3+12*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070421 11.5477 [-(11*f(x)+130)*(f(x)*x^3+11*x^2-f(x)+7*x+1) ogf] A070421 12.4475 [{-a(n+3)+a(n),a(0)=1,a(1)=7,a(2)=11} ogf] A070421 15.6743 [-(7+22*x+14*x^3+11*x^4+3*x^2)/(x-1)/(x^2+x+1)/(11*x^2+7*x+1) lgdogf] A070421 19.1692 [-(11*x^2+7*x+1)/(x-1)/(x^2+x+1) ogf] A070422 6.39010 [-(28*x^9+4*x^8+6*x^7+12*x^6+13*x^5+13*x^4+24*x^3+9*x^2+7*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A070423 10.5595 [-(22*f(x)+559)*(f(x)*x^4+23*x^3+9*x^2-f(x)+7*x+1) ogf] A070423 11.2236 [-(7+18*x+4*x^3+18*x^5+21*x^4+23*x^6+69*x^2)/(x-1)/(x+1)/(x^2+1)/(23*x^3+9*x^2+7*x+1) lgdogf] A070423 16.5674 [-(23*x^3+9*x^2+7*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A070425 10.8367 [-(7-2*x-82*x^3-2*x^5+19*x^4+37*x^6+109*x^2)/(x-1)/(x+1)/(x^2-x+1)/(37*x^3-x^2+6*x+1) lgdogf] A070425 13.2565 [-(37*x^3-x^2+6*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A070425 7.36473 [-(3*f(x)-104)*(f(x)*x^4-f(x)*x^3+37*x^3+f(x)*x-x^2-f(x)+6*x+1) ogf] A070426 10.5069 [-(19*x^5-10*x^4+30*x^3-2*x^2+6*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A070427 6.83799 [-(13*x^11+34*x^10+37*x^9+31*x^8+43*x^7+19*x^6+22*x^5+16*x^4+28*x^3+4*x^2+7*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070430 11.3127 [-(4+8*x+16*x^5+5*x^4+2*x^7+12*x^6+3*x^2)/(x-1)/(x+1)/(x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A070430 13.9210 [-x*(x+1)*(x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070431 12.5745 [-x*(x^4+4*x^3+3*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070431 8.66952 [-2*(2+3*x+2*x^3+3*x^5+6*x^7+10*x^6+x^9+6*x^8+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+4*x^3+3*x^2+4*x+1) lgdogf] A070432 10.0745 [(7*f(x)+2967)*(f(x)*x^4+x^3+4*x^2-f(x)+x) ogf] A070432 15.5869 [-(x^2+4*x+1)*x/(x-1)/(x+1)/(x^2+1) ogf] A070432 16.5650 [-2*(2+x+2*x^3+x^5+6*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+4*x+1) lgdogf] A070433 10.2492 [-x*(x+1)*(x^6+3*x^5-3*x^4+10*x^3-3*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070434 8.10764 [-x*(x+1)*(x^8+3*x^7+6*x^6-x^5+4*x^4-x^3+6*x^2+3*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070435 12.5745 [-x*(x^4+4*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070435 8.58925 [-2*(2+9*x+2*x^3+3*x^5+18*x^7+10*x^6+x^9+6*x^8+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+4*x^3+9*x^2+4*x+1) lgdogf] A070436 6.90196 [-x*(x+1)*(x^10+3*x^9+6*x^8-3*x^7+15*x^6-5*x^5+15*x^4-3*x^3+6*x^2+3*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070439 10.7286 [-x*(x^6+4*x^5+9*x^4+9*x^2+4*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A070439 7.24718 [-2*(2+9*x+18*x^3+3*x^5+10*x^4+4*x^7+27*x^9+14*x^8+6*x^12+18*x^11+x^13)/(x-1)/(x+1)/(x^2+1)/(x^6+4*x^5+9*x^4+9*x^2+4*x+1)/(1+x^4) lgdogf] A070442 8.84504 [-x*(x^8+4*x^7+9*x^6+16*x^5+5*x^4+16*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070446 7.42603 [-x*(x^10+4*x^9+9*x^8+16*x^7+x^6+12*x^5+x^4+16*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070454 5.84380 [-x*(x^14+4*x^13+9*x^12+16*x^11+25*x^10+4*x^9+17*x^8+17*x^6+4*x^5+25*x^4+16*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A070471 11.0433 [-(3+4*x+12*x^5+5*x^4+8*x^7+6*x^6+12*x^2)/(x-1)/(4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A070471 13.9210 [-x*(4*x^3+2*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070472 11.3880 [-x*(6*x^5+6*x^4+x^3+6*x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070472 7.13569 [-(1+12*x+24*x^3+30*x^4+6*x^7+7*x^6+18*x^10+4*x^9+30*x^8+12*x^11+3*x^2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(6*x^5+6*x^4+x^3+6*x^2+x+1) lgdogf] A070473 8.24660 [-x*(10*x^9+3*x^8+6*x^7+2*x^6+7*x^5+4*x^4+9*x^3+5*x^2+8*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070474 7.90622 [-x*(11*x^10+4*x^9+9*x^8+8*x^7+7*x^6+5*x^4+4*x^3+3*x^2+8*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070475 6.93625 [-x*(12*x^11+5*x^10+12*x^9+x^8+5*x^7+5*x^6+8*x^5+8*x^4+12*x^3+x^2+8*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070478 6.43778 [-x*(15*x^14+8*x^13+5*x^12+3*x^10+8*x^9+9*x^8+7*x^6+8*x^5+13*x^4+11*x^2+8*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A070480 12.5488 [-x*(17*x^4+10*x^3+9*x^2+8*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070480 7.97000 [-2*(4+9*x+34*x^3+3*x^5+18*x^7+20*x^6+17*x^9+15*x^8+15*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(17*x^4+10*x^3+9*x^2+8*x+1) lgdogf] A070489 10.0635 [-x*(26*x^7+19*x^6+17*x^4+10*x^3+8*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070498 8.17069 [-x*(35*x^6+28*x^5+44*x^4+36*x^3+28*x^2+8*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1) ogf] A070511 12.5745 [-x*(x^4+4*x^3+3*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070511 8.66952 [-2*(2+3*x+2*x^3+3*x^5+6*x^7+10*x^6+x^9+6*x^8+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+4*x^3+3*x^2+4*x+1) lgdogf] A070512 11.3880 [-x*(x+1)*(x^4+x^3+3*x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070512 7.36222 [-(2+8*x+8*x^3+5*x^4+12*x^7+7*x^6+6*x^10+16*x^9+20*x^8+2*x^11+12*x^2)/(x-1)/(x+1)/(x^4+x^3+3*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A070513 10.2492 [-x*(x+1)*(x^6+6*x^5-6*x^4+10*x^3-6*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070514 8.77777 [-x*(x^8+6*x^7+x^6+6*x^5+5*x^4+6*x^3+x^2+6*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070515 8.10764 [-x*(x+1)*(x^2-x+1)*(x^6+5*x^5+4*x^4+2*x^3+4*x^2+5*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070516 12.5745 [-x*(x^4+4*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070516 8.58925 [-2*(2+9*x+2*x^3+3*x^5+18*x^7+10*x^6+x^9+6*x^8+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+4*x^3+9*x^2+4*x+1) lgdogf] A070517 7.04790 [-x*(x+1)*(x^10+2*x^9+x^8+8*x^7-7*x^6+16*x^5-7*x^4+8*x^3+x^2+2*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070533 6.23266 [-x*(x+1)*(x^12+6*x^10-5*x^9+15*x^8-9*x^7+10*x^6-9*x^5+15*x^4-5*x^3+6*x^2+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A070539 8.55264 [-x*(x^8+16*x^7+x^6+16*x^5+5*x^4+16*x^3+x^2+16*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070550 14.1386 [-(x+1)/(x^2+1)/(x^2+x-1) ogf] A070550 15.9738 [-(2+6*x^3+3*x^2+3*x^4)/(x+1)/(x^2+1)/(x^2+x-1) lgdogf] A070550 6.81221 [-(160*f(x)+23)*(f(x)*x^4+f(x)*x^3+f(x)*x-f(x)+x+1) ogf] A070557 19.7516 [x^4+2*x^3+2*x^2+2*x+1 ogf_with_Euler_transform] A070557 7.13749 [-(1+7*x+45*x^3+49*x^8+20*x^2+24*x^9+93*x^5+70*x^4+79*x^7+92*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A070567 12.5488 [-x*(x^4+16*x^3+9*x^2+16*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070567 8.39697 [-2*(8+9*x+2*x^3+24*x^8+24*x^2+x^9+3*x^5+18*x^7+40*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+16*x^3+9*x^2+16*x+1) lgdogf] A070575 10.5027 [-x*(x^6+16*x^5+17*x^4+17*x^2+16*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A070575 6.91076 [-2*(8+17*x+34*x^3+56*x^8+51*x^9+3*x^5+40*x^4+x^13+24*x^12+34*x^11+4*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^6+16*x^5+17*x^4+17*x^2+16*x+1) lgdogf] A070583 8.40613 [-x*(x^8+16*x^7+x^6+16*x^5+25*x^4+16*x^3+x^2+16*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070591 12.0904 [-x*(x^4+16*x^3+33*x^2+16*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070591 8.02368 [-2*(8+33*x+2*x^3+24*x^8+24*x^2+x^9+3*x^5+66*x^7+40*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+16*x^3+33*x^2+16*x+1) lgdogf] A070593 11.3880 [-x*(2*x+1)*(x^2-x+1)*(3*x^2+3*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070595 10.2492 [-x*(8*x^7+4*x^6+2*x^4+7*x^3+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070596 7.77464 [-x*(10*x^9+x^8+10*x^7+10*x^6+10*x^5+x^4+x^3+x^2+10*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070597 7.90622 [-x*(11*x^10+4*x^9+9*x^8+8*x^7+7*x^6+5*x^4+4*x^3+3*x^2+8*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A070598 6.93625 [-x*(x^2+x+1)*(x^2-x+1)*(12*x^7+7*x^6-8*x^5-4*x^4+4*x^3+8*x^2+6*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070609 10.3870 [-(7+36*x+72*x^2+28*x^5+5*x^4+48*x^7+54*x^6)/(x-1)/(4*x+1)/(6*x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A070609 13.6813 [-x*(4*x+1)*(6*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070634 8.10764 [-x*(x+1)*(x^8+8*x^7-5*x^6+9*x^5-4*x^4+9*x^3-5*x^2+8*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070636 6.62982 [-x*(x+1)*(x^10+11*x^9-10*x^8+11*x^7+x^6+11*x^5+x^4+11*x^3-10*x^2+11*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070637 6.58825 [-x*(x^12+8*x^11+x^10+8*x^9+x^8+8*x^7+7*x^6+8*x^5+x^4+8*x^3+x^2+8*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070641 12.5488 [-x*(x^4+10*x^3+9*x^2+10*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070641 8.39697 [-2*(5+9*x+x^9+3*x^5+15*x^8+18*x^7+25*x^6+2*x^3+15*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+10*x^3+9*x^2+10*x+1) lgdogf] A070650 9.92741 [-x*(x+1)*(x^6+9*x^5-9*x^4+28*x^3-9*x^2+9*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070651 6.77327 [-x*(x^12+8*x^11+x^10+8*x^9+x^8+8*x^7+21*x^6+8*x^5+x^4+8*x^3+x^2+8*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A070659 12.5488 [-x*(x^4+28*x^3+9*x^2+28*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A070659 8.32266 [-2*(14+9*x+x^9+3*x^5+42*x^8+18*x^7+70*x^6+2*x^3+42*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+28*x^3+9*x^2+28*x+1) lgdogf] A070663 8.40613 [-x*(x^8+24*x^7+9*x^6+16*x^5+25*x^4+16*x^3+9*x^2+24*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A070688 5.88916 [-x*(x^16+16*x^15+9*x^14+16*x^13+25*x^12+24*x^8+25*x^4+16*x^3+9*x^2+16*x+1)/(x-1)/(x+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^8-x^4+1) ogf] A070690 11.0433 [-(3+4*x+12*x^5+8*x^7+5*x^4+6*x^6+12*x^2)/(x-1)/(4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A070690 13.9210 [-x*(4*x^3+2*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A070692 10.2492 [-x*(8*x^7+7*x^6+5*x^4+4*x^3+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A070693 8.24660 [-x*(10*x^9+4*x^8+2*x^7+6*x^6+8*x^5+3*x^4+5*x^3+9*x^2+7*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070695 6.93625 [-x*(12*x^11+2*x^10+10*x^9+9*x^8+5*x^7+6*x^6+7*x^5+8*x^4+4*x^3+3*x^2+11*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A070734 5.71790 [3*(x^4+8*x^3+6*x^2+8*x+1)/(x-1)^4/(x+1)^4 egf] A070734 7.24628 [-4*(2+5*x+x^5+10*x^4+10*x^3+20*x^2)/(x-1)/(x+1)/(1+x^4+8*x^3+6*x^2+8*x) lgdegf] A070775 4.93788 [{-a(n+3)+12*a(n+2)+64*a(n+1),a(0)=1,a(1)=2,a(2)=72} ogf] A070775 7.44484 [(-254+255*f(x))*(64*f(x)*x^2+12*f(x)*x-16*x^2-f(x)-10*x+1) ogf] A070775 9.09609 [(16*x^2+10*x-1)/(4*x+1)/(16*x-1) ogf] A070775 9.56877 [-2*(-1-48*x+224*x^2)/(4*x+1)/(16*x-1)/(16*x^2+10*x-1) lgdogf] A070778 8.11059 [-(-2-10*x-12*x^5-24*x^4+4*x^7+8*x^6+12*x^3+15*x^2)/(x^2+x-1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) lgdogf] A070778 9.12268 [(x^2+x-1)/(x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1) ogf] A070782 4.60532 [{-a(n+3)+21*a(n+2)+353*a(n+1)-32*a(n),a(0)=1,a(1)=2,a(2)=254} ogf] A070782 5.32777 [-(3965489*f(x)-1621469)*(32*f(x)*x^3-353*f(x)*x^2-21*f(x)*x+141*x^2+f(x)+19*x-1) ogf] A070782 6.91347 [-2*(1+212*x+2256*x^4+608*x^3-1921*x^2)/(32*x-1)/(141*x^2+19*x-1)/(x^2-11*x-1) lgdogf] A070782 7.99159 [-(141*x^2+19*x-1)/(32*x-1)/(x^2-11*x-1) ogf] A070814 6.56530 [-17*(3*x^9+2*x^8+2*x^7+2*x^6+2*x^5+3*x^4+4*x^3+3*x^2+2*x+1)/(2*x^4-1) ogf] A070832 3.70557 [(8192*x^4+207296*x^3-20280*x^2-134*x+1)/(256*x-1)/(16*x-1)/(16*x^2+136*x+1) ogf] A070857 3.33019 [{(28*n^2+154*n+210)*a(n+1)+(25*n^2+223*n+546)*a(n+2)+(-8*n^2-80*n-168)*a(n+3),a(0)=1,a(1)=5,a(2)=19} ogf] A070857 7.72934 [f(x)^2*x^4-7*f(x)*x^2+9*f(x)*x-2*f(x)+x+2 ogf] A070859 5.65403 [f(x)^2*x^4-f(x)*x^3-5*f(x)*x^2+x^3+5*f(x)*x+2*x^2-f(x)-3*x+1 ogf] A070875 10.0873 [-(20*f(x)-51)*(2*f(x)*x^2-f(x)+7*x+5) ogf] A070875 11.5059 [{-a(n+2)+2*a(n),a(0)=5,a(1)=7} ogf] A070875 17.9604 [-(7*x+5)/(2*x^2-1) ogf] A070875 18.0430 [1/2*2^(1/2)*(-arcsinh(7)+arcsinh(2*x+7)) revegf] A070875 21.2271 [-(7+20*x+14*x^2)/(7*x+5)/(2*x^2-1) lgdogf] A070876 10.7019 [(4*f(x)-11)*(2*f(x)*x^2-f(x)+15*x+9) ogf] A070876 11.3605 [{a(n+2)-2*a(n),a(0)=9,a(1)=15} ogf] A070876 17.5817 [-3*(5*x+3)/(2*x^2-1) ogf] A070876 18.5610 [1/2/(15+2*x)*(-9+(81+60*x+8*x^2)^(1/2)) revogf] A070876 21.2906 [-(5+12*x+10*x^2)/(5*x+3)/(2*x^2-1) lgdogf] A070884 7.78561 [-(x^8-2*x^7-6*x^6-4*x^5-2*x^4-4*x^3-2*x^2-4*x-7)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A070893 10.5965 [-(2*x+1)/(x+1)/(x-1)^5 ogf] A070893 19.9057 [-2*(3+7*x+5*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A070893 3.80810 [{(-n-4)*a(n+4)-2*n*a(n+3)+(16+n)*a(n+2)+(12+2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=19,a(3)=46} ogf] A070937 6.88398 [(2*x^12-2*x^11+6*x^10-4*x^9+6*x^8-2*x^7-2*x^6+2*x^5-6*x^4+2*x^3-3*x^2-x-1)/(x-1)/(x^2+1) ogf] A070945 24.4809 [(-1-x-x^2-x^3)*f(x)+f(x)^2 lgdegf] A070945 3.64633 [{(-n-5)*a(n+5)+a(n+4)+a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1} egf] A070946 13.6287 [-a(n+5),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1 lgdegf] A070947 23.6583 [(x+1)*(1+x+x^2)*(x^2-x+1) lgdegf] A070959 7.39986 [-(x^7-x^6-20*x^4+3*x^3-23*x^2-4*x-4)/(x-1)^4/(x+1)^4 ogf] A070959 7.53940 [-(-4-78*x-86*x^5+15*x^4-218*x^3+7*x^6-2*x^7+x^8-19*x^2)/(x-1)/(x+1)/(x^7-x^6-20*x^4+3*x^3-23*x^2-4*x-4) lgdogf] A070960 10.7959 [-1/2*(x^2-2*x-2)/(x-1)^2 egf] A070960 11.4379 [-2*f(x)*x^2+4*f(x)*x-x^2-2*f(x)+2*x+2 egf] A070960 25.4637 [-1-x+(1+4*x+x^2)^(1/2) revegf] A070960 29.4843 [6/(x-1)/(x^2-2*x-2) lgdegf] A070960 4.02946 [{(n^2+2*n)*a(n)+(n^2+4*n+6)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=3} ogf] A070967 3.23968 [{-a(n+4)+38*a(n+3)+1691*a(n+2)-1728*a(n+1),a(0)=1,a(1)=2,a(2)=926,a(3)=37130} ogf] A070967 4.37579 [-(-1689239+3197285*f(x))*(1728*f(x)*x^3-1691*f(x)*x^2-288*x^3-38*f(x)*x+841*x^2+f(x)+36*x-1) ogf] A070967 5.04611 [2*(1+850*x+483120*x^4+51264*x^3-16619*x^2)/(x-1)/(27*x+1)/(64*x-1)/(288*x^3-841*x^2-36*x+1) lgdogf] A070967 5.79942 [(288*x^3-841*x^2-36*x+1)/(x-1)/(27*x+1)/(64*x-1) ogf] A070997 13.5141 [-(x-1)/(x^2-8*x+1) ogf] A070997 14.5403 [-1/2*(-1-8*x+(1+12*x+60*x^2)^(1/2))/(1+x) revogf] A070997 19.8717 [-(7-2*x+x^2)/(x-1)/(x^2-8*x+1) lgdogf] A070997 6.75704 [-(54*f(x)-5)*(f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A070997 7.41626 [{a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=7} ogf] A070998 14.1798 [-(x-1)/(x^2-9*x+1) ogf] A070998 15.2709 [-1/2*(-1-9*x+(1+14*x+77*x^2)^(1/2))/(1+x) revogf] A070998 20.8703 [-(8-2*x+x^2)/(x-1)/(x^2-9*x+1) lgdogf] A070998 7.0899 [-(35*f(x)-3)*(f(x)*x^2-9*f(x)*x+f(x)+x-1) ogf] A070998 7.78159 [{a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=8} ogf] A071009 4.71677 [(x^6+x^5+5*x^4+8*x^3+5*x^2+x+1)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A071009 5.97667 [-4*(1+6*x+46*x^5+46*x^4+35*x^3+3*x^8+12*x^7+18*x^2+x^9+30*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+5*x^4+8*x^3+5*x^2+x+1) lgdogf] A071033 6.92691 [-(10*x+1)*(10000*x^4-101*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A071045 14.7579 [x^2*(x+3)/(x+1)^2/(x-1)^2 ogf] A071045 25.2335 [-(1+12*x+3*x^2)/(x-1)/(x+3)/(x+1) lgdogf] A071045 5.57088 [{(4*n^2+21*n+26)*a(n+1)+3*a(n+2)+(-4*n^2-13*n-9)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A071045 8.16701 [-(1248*f(x)+2465)*(f(x)*x^4-2*f(x)*x^2-x^3-3*x^2+f(x)) ogf] A071046 7.53581 [-(1+9*x+47*x^5+39*x^4+32*x^3+3*x^9+7*x^8+27*x^7+18*x^2+33*x^6)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(x^4+x^3+4*x^2+x+2) lgdogf] A071046 9.57906 [x^2*(x^4+x^3+4*x^2+x+2)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A071047 6.36172 [-(3+9*x+69*x^5+63*x^4+41*x^3+7*x^9+27*x^8+44*x^7+27*x^2+66*x^6+4*x^10)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1)/(2*x^5+x^4+5*x^3+3*x^2+3*x+1) lgdogf] A071047 9.48204 [(2*x^5+x^4+5*x^3+3*x^2+3*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A071054 13.0480 [-(x^3-2*x^2-3*x-1)/(x+1)^2/(x-1)^2 ogf] A071054 15.1135 [-(-3-8*x+x^4-4*x^3-6*x^2)/(x-1)/(x+1)/(x^3-2*x^2-3*x-1) lgdogf] A071054 7.85297 [-(110*f(x)-71)*(f(x)*x^4-2*f(x)*x^2+x^3-2*x^2+f(x)-3*x-1) ogf] A071061 6.29416 [2*(-1-26*x^9+36*x^10)/(x-1)/(9*x^10-19*x^9+1) lgdogf] A071099 11.2505 [x*(x^2-5*x+2)/(2*x-1)/(x-1)^3 ogf] A071099 18.6474 [-(-5+24*x+4*x^3-29*x^2)/(x-1)/(2*x-1)/(x^2-5*x+2) lgdogf] A071099 6.0836 [(76*f(x)-63)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-x^3-5*f(x)*x+5*x^2+f(x)-2*x) ogf] A071100 5.17586 [(1472*f(x)+579)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-3*x-5) ogf] A071100 9.13657 [-(13+22*x+x^6-2*x^5-5*x^4-4*x^3+31*x^2)/(x^4-2*x^3-2*x^2-2*x+1)/(x^3-x^2-3*x-5) lgdogf] A071100 9.54509 [-(x^3-x^2-3*x-5)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A071101 5.01056 [-(12763*f(x)+9849)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x-3*x^2+f(x)-6*x-5) ogf] A071101 8.67120 [-2*(8+13*x+x^6-3*x^5-4*x^4+6*x^3+15*x^2)/(x^4-2*x^3-2*x^2-2*x+1)/(2*x^3-3*x^2-6*x-5) lgdogf] A071101 9.63070 [-(2*x^3-3*x^2-6*x-5)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A071171 5.22210 [x^2*(5*x^4+82*x^3+186*x^2+82*x+5)/(x-1)^8 ogf] A071171 9.62636 [-2*(61+473*x+10*x^4+215*x^3+681*x^2)/(x-1)/(5*x^4+82*x^3+186*x^2+82*x+5) lgdogf] A071213 3.14117 [{(16*n^3+112*n^2+260*n+200)*a(n+1)+(-8*n^2-44*n-62)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=4,a(2)=34} ogf] A071229 10.3383 [x*(8*x^2+5*x+1)/(x-1)^4 ogf] A071229 20.6584 [-(9+31*x+16*x^2)/(x-1)/(8*x^2+5*x+1) lgdogf] A071229 3.81158 [{(-3-n)*a(n+4)+(1-4*n)*a(n+3)+(28-3*n)*a(n+2)+(16+8*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=38} ogf] A071229 5.20478 [-(26656*f(x)+76833)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-5*x^2+f(x)-x) ogf] A071230 19.0305 [-(13+43*x+16*x^2)/(x-1)/(8*x+1)/(x+1) lgdogf] A071230 4.7037 [-(70707168*f(x)+274269109)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-9*x^2+f(x)-x) ogf] A071230 9.79400 [x*(x+1)*(8*x+1)/(x-1)^4 ogf] A071231 4.07361 [-x*(x+1)*(x^6+126*x^5+2007*x^4+5812*x^3+2007*x^2+126*x+1)/(x-1)^9 ogf] A071231 5.64581 [-2*(68+2641*x+4647*x^5+24880*x^4+39095*x^3+x^7+194*x^6+19194*x^2)/(x-1)/(x+1)/(x^6+126*x^5+2007*x^4+5812*x^3+2007*x^2+126*x+1) lgdogf] A071232 11.2209 [-12*(3+39*x+7*x^4+61*x^3+100*x^2)/(x-1)/(28*x^4+155*x^3+147*x^2+29*x+1) lgdogf] A071232 6.56088 [-x*(28*x^4+155*x^3+147*x^2+29*x+1)/(x-1)^7 ogf] A071233 12.5474 [2*x*(x^2+5)/(x-1)^4 ogf] A071233 30.2587 [-2*(10+x+x^2)/(x-1)/(x^2+5) lgdogf] A071233 4.12003 [{(-15-5*n)*a(n+4)+(30+5*n)*a(n+3)+(1-n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=10,a(2)=40,a(3)=102} ogf] A071233 6.13427 [(54702*f(x)+154351)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+f(x)-10*x) ogf] A071237 25.6978 [-15*(x+1)^2/(x-1)/(5*x^2+5*x+2) lgdogf] A071237 4.41281 [{(6+2*n)*a(n+4)+(-9+3*n)*a(n+3)-30*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=2,a(2)=15,a(3)=60} ogf] A071237 9.72946 [-x*(5*x^2+5*x+2)/(x-1)^5 ogf] A071238 22.1373 [-(9+22*x+9*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A071238 3.98842 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-23-n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=38} ogf] A071238 9.46649 [-x*(x+1)*(3*x+1)/(x-1)^5 ogf] A071239 23.6522 [-2*(3+4*x+3*x^2)/(x-1)/(x+2*x^2+1) lgdogf] A071239 4.52912 [{(-3-n)*a(n+4)+6*a(n+3)+(7-n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=22} ogf] A071239 9.82219 [-x*(2*x^2+x+1)/(x-1)^5 ogf] A071244 25.5842 [-(11+6*x+3*x^2)/(x-1)/(x^2+x+2) lgdogf] A071244 4.16920 [{(-135*n^2-234*n+72)*a(n+1)+(-223*n^2-2750*n-3597)*a(n+2)+(358*n^2+1012*n+654)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A071244 9.20100 [-x^2*(x^2+x+2)/(x-1)^5 ogf] A071245 22.5745 [-(19+18*x+3*x^2)/(x-1)/(x+3)/(x+1) lgdogf] A071245 3.91317 [{(-345*n^2-2397*n-3414)*a(n+1)+(-908*n^2-9334*n-25878)*a(n+2)+(1253*n^2+5339*n+4086)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A071245 8.90583 [-x^2*(x+3)*(x+1)/(x-1)^5 ogf] A071246 22.5745 [-(23+14*x+3*x^2)/(x-1)/(x^2+3*x+4) lgdogf] A071246 4.16563 [{(29*n^2+190*n+264)*a(n+1)+(-24*n^2+107*n+897)*a(n+2)+(-5*n^2-161*n-156)*a(n+3),a(0)=0,a(1)=0,a(2)=4} ogf] A071246 8.90583 [-x^2*(x^2+3*x+4)/(x-1)^5 ogf] A071252 23.1094 [-6*(5+4*x+x^2)/(x-1)/(2*x^2+5*x+5) lgdogf] A071252 4.30976 [{(-2*n^2-100*n-192)*a(n+1)+(45*n^2+254*n-318)*a(n+2)+(-43*n^2+10*n+53)*a(n+3),a(0)=0,a(1)=0,a(2)=5} ogf] A071252 9.11488 [-x^2*(2*x^2+5*x+5)/(x-1)^5 ogf] A071253 17.8941 [-2*(5+15*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A071253 4.77233 [{(n^2+2*n)*a(n+1)+(-2*n^2-8*n-36)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=2,a(2)=20} ogf] A071253 8.77492 [-2*x*(x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A071268 6.27426 [-3*(10*x^2-1)*(110*x^2-40*x+11)/(x-1)/(10*x-1)/(1+110*x^3-30*x^2) lgdegf] A071270 16.8771 [-2*(6+21*x+x^3+12*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A071270 4.44735 [{(-2*n^2-7*n-6)*a(n+1)+(4*n^2+16*n+48)*a(n+2)+(-2*n^2-9*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=12} ogf] A071270 8.65034 [-x*(x+1)*(x^2+6*x+1)/(x-1)^5 ogf] A071271 6.77652 [-72*x^9+81*x^8+2 ogf_with_Euler_transform] A071279 10.2116 [-(f(x)+4)*(f(x)*x-2*x^2-f(x)-4*x+12) ogf] A071279 17.7594 [2*(x^2+2*x-6)/(x-1) ogf] A071279 27.5510 [(4-2*x+x^2)/(x-1)/(x^2+2*x-6) lgdogf] A071279 9.61096 [{-a(n+3)+a(n+2),a(0)=12,a(1)=8,a(2)=6} ogf] A071281 7.66180 [x^3*(x^8+x^7+2*x^6+x^5+3*x^4+2*x^3+2*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A071282 5.44330 [-(3+2*x+12*x^5+15*x^4+8*x^3+3*x^10+4*x^9+9*x^8+4*x^7+15*x^6+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(3*x^5+2*x^4+3*x^3+x^2+3*x+2) lgdogf] A071282 9.78453 [-(3*x^5+2*x^4+3*x^3+x^2+3*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A071284 6.73841 [-(4*x^9+3*x^8+2*x^7+4*x^6+3*x^5+4*x^4+x^3+3*x^2+4*x+2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A071289 6.75793 [x*(3*x^5+7*x^4+16*x^3+12*x^2+9*x+1)/(x+1)^3/(x-1)^4 ogf] A071289 9.01035 [-2*(5+20*x+12*x^5+43*x^4+52*x^3+3*x^6+57*x^2)/(x-1)/(x+1)/(3*x^5+7*x^4+16*x^3+12*x^2+9*x+1) lgdogf] A071355 14.0361 [(2*x^2-3*x-3)/(x-1)^3 ogf] A071355 24.7245 [-2*(x+2)*(x-3)/(x-1)/(2*x^2-3*x-3) lgdogf] A071355 7.25594 [(6576*f(x)-59053)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+3*x+3) ogf] A071355 7.51053 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=12,a(2)=25} ogf] A071356 11.6207 [2*f(x)^2*x^2+2*f(x)*x-f(x)+1 ogf] A071356 4.54054 [{(4*n+8)*a(n+1)+(4*n+14)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A071356 44.8497 [x/(1+2*x+2*x^2) revogf] A071357 11.6752 [-4*x^3*f(x)^2-4*f(x)*x+f(x)-x ogf] A071357 12.5775 [-2*(-1+4*x+4*x^2+(1-4*x-4*x^2)^(1/2))/x/(-1+4*x+4*x^2) lgdogf] A071357 3.86989 [{(4*n^2+20*n+24)*a(n+1)+(4*n^2+26*n+42)*a(n+2)+(-n^2-8*n-12)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A071359 13.8200 [1/2/x^2*(-1-x-x^2+(1+2*x+3*x^2+6*x^3+x^4)^(1/2)) revogf] A071359 8.74622 [f(x)^2*x^2+f(x)^2*x+f(x)*x-f(x)+x ogf] A071408 10.0925 [x*(x+1)*(x^2-x-1)/(x^2+x+1)/(x-1)^3 ogf] A071408 13.8875 [-2*(x+2)*(x^4-x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x-1) lgdogf] A071419 6.30278 [(23*x^11+11*x^10-25*x^9+x^8+2*x^7+7*x^6+7*x^5-5*x^4+2*x^3+3*x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A071423 8.28169 [(x^10-x^9-x^6-x^3-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A071440 7.89544 [-(18*x^9+131*x^8+96*x^7+92*x^6+48*x^5+26*x^4+42*x^3+6*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A071533 7.53953 [-(243*x^4+54*x^3+3*x^2-x+1)/(3*x-1)/(81*x^4+45*x^3+16*x^2+5*x+1) ogf] A071534 10.1255 [-(-3-6*x^5+14*x^4+x^8+6*x^6-14*x^3+18*x^2)/(x-1)/(x^4+x^3+4*x^2+x+1)/(x^4+3*x^2-3*x+1) lgdogf] A071534 11.1924 [-(x^4+3*x^2-3*x+1)/(x-1)/(x^4+x^3+4*x^2+x+1) ogf] A071535 6.81762 [-(64*x^4-80*x^3+36*x^2-5*x+1)/(4*x-1)^5 ogf] A071539 11.1288 [-6*x*(8*x-3)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A071539 5.68449 [(3485*f(x)+294834)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2-12*f(x)*x+48*x^2+f(x)-18*x) ogf] A071568 17.2711 [-(-11-7*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2+x-3) lgdogf] A071568 4.06774 [{(-23*n^2-109*n-126)*a(n+1)+(22*n^2+20*n-84)*a(n+2)+(n^2+17*n+42)*a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A071568 5.3371 [(153*f(x)+248)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-5*x^2+f(x)+x-1) ogf] A071568 9.77314 [(x^3+5*x^2-x+1)/(x-1)^4 ogf] A071578 14.7260 [-x*(x^2-x+1)*(x^27+x^26-x^24-x^23+x^21+x^20-x^18-x^17+x^15+x^14-x^12-x^11+x^9+x^8+x^7-x^5-x^4+x^2+2*x+1)/(x-1) ogf] A071618 8.27626 [-(3-2*x+6*x^4+2*x^7-3*x^6-18*x^3+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A071618 9.54837 [-(x^2-x+1)*x*(x+1)/(x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A071619 13.4866 [-(3+6*x+2*x^5+5*x^4+8*x^3+12*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A071619 29.5718 [-x^3+x^2+3 ogf_with_Euler_transform] A071619 4.06425 [{(n^2+6*n+10)*a(n+1)+(2*n+5)*a(n+2)+(2*n+5)*a(n+3)+(-n^2-4*n-5)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=6} ogf] A071619 9.68112 [-x*(x+1)*(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A071679 14.8935 [-(x+1)^2/(x^2+x-1) ogf] A071679 31.6001 [-(x+3)/(x+1)/(x^2+x-1) lgdogf] A071679 7.73879 [{-a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=5} ogf] A071679 8.13769 [-(2+7*f(x))*(f(x)*x^2+f(x)*x+x^2-f(x)+2*x+1) ogf] A071683 10.1114 [-(13*x^3+55*x^2+1)/(x^2+4*x-1) ogf] A071683 5.0989 [-(2074665*f(x)-108357433)*(f(x)*x^2+13*x^3+4*f(x)*x+55*x^2-f(x)+1) ogf] A071683 5.09890 [{a(n+4)-4*a(n+3)-a(n+2),a(0)=1,a(1)=4,a(2)=72,a(3)=305} ogf] A071683 9.27312 [(-4-112*x+13*x^4+104*x^3+181*x^2)/(x^2+4*x-1)/(13*x^3+55*x^2+1) lgdogf] A071701 13.6217 [-x^4*(x^4+1)*(x^8-x^4+1)*(x^8+1)*(x^16-x^8+1)/(x-1) ogf] A071701 8.80597 [(-1-24*x^23+23*x^24+11*x^12-12*x^11+35*x^36-36*x^35)/(x-1)/(x^4+1)/(x^8-x^4+1)/(x^8+1)/(x^16-x^8+1) lgdogf] A071716 7.13853 [-f(x)^2*x-2*f(x)*x^2-x^3+f(x)*x+f(x)-x-1 ogf] A071717 6.98026 [f(x)^2*x^2+3*f(x)*x^2+x^3+f(x)*x-f(x)+x+1 ogf] A071718 6.13692 [x^3*f(x)^2-2*f(x)*x^3+4*f(x)*x^2+x^3+2*f(x)*x-f(x)+x+1 ogf] A071719 5.76208 [-f(x)^2*x^4+5*f(x)*x^3-3*f(x)*x^2-x^3-3*f(x)*x+f(x)-x-1 ogf] A071721 7.01643 [f(x)^2*x^2-2*f(x)*x^2+6*f(x)*x+x^2-2*f(x)-2*x+2 ogf] A071722 7.3781 [-x^3*f(x)^2+5*f(x)*x^2-8*f(x)*x-x^2+2*f(x)+2*x-2 ogf] A071723 6.78521 [-f(x)^2*x^4-2*f(x)*x^3+11*f(x)*x^2-10*f(x)*x-x^2+2*f(x)+2*x-2 ogf] A071724 7.39478 [f(x)^2*x^2-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 ogf] A071725 6.98026 [x^3*f(x)^2-6*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-4*x+1 ogf] A071731 5.40211 [f(x)^2*x^2-2*f(x)*x^3+x^4+4*f(x)*x^2+f(x)*x-2*x^2-f(x)+x+1 ogf] A071732 5.65403 [-x^3*f(x)^2+5*f(x)*x^3-x^4-5*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-1 ogf] A071733 4.61176 [-f(x)^2*x^4-2*f(x)*x^4+9*f(x)*x^3-x^4-4*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-x-1 ogf] A071735 3.93192 [{(-40*n^2+20*n)*a(n)+(62*n^2+136*n-10)*a(n+1)+(-13*n^2-51*n+4)*a(n+2),a(0)=1,a(1)=2} ogf] A071735 6.98026 [-f(x)^2*x^2+5*f(x)*x^2-x^3-7*f(x)*x+2*f(x)+3*x-2 ogf] A071736 3.31742 [{(-188*n^3-490*n^2-198*n)*a(n)+(219*n^3+1155*n^2+1524*n+120)*a(n+1)+(-43*n^3-305*n^2-458*n-40)*a(n+2),a(0)=1,a(1)=3} ogf] A071736 6.07676 [-x^3*f(x)^2-2*f(x)*x^3+9*f(x)*x^2-x^3-9*f(x)*x+2*f(x)+3*x-2 ogf] A071737 5.68551 [f(x)^2*x^4+7*f(x)*x^3-16*f(x)*x^2+x^3+11*f(x)*x-2*f(x)-3*x+2 ogf] A071738 3.44975 [{(-88*n^3-84*n^2+64*n)*a(n)+(74*n^3+276*n^2+202*n-48)*a(n+1)+(-13*n^3-75*n^2-86*n+24)*a(n+2),a(0)=1,a(1)=1} ogf] A071738 6.65055 [-f(x)^2*x^2+5*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)+3*x-1 ogf] A071739 5.45809 [-x^3*f(x)^2-2*f(x)*x^3+7*f(x)*x^2-x^3-5*f(x)*x-2*x^2+f(x)+3*x-1 ogf] A071740 5.60528 [-f(x)^2*x^4-7*f(x)*x^3+11*f(x)*x^2-x^3-6*f(x)*x-2*x^2+f(x)+3*x-1 ogf] A071755 5.40211 [f(x)^2*x^2+2*f(x)*x^3+x^4-9*f(x)*x^2+8*f(x)*x+2*x^2-2*f(x)-4*x+2 ogf] A071756 5.55738 [x^3*f(x)^2+7*f(x)*x^3+x^4-14*f(x)*x^2+10*f(x)*x+2*x^2-2*f(x)-4*x+2 ogf] A071757 4.51003 [-f(x)^2*x^4+2*f(x)*x^4-16*f(x)*x^3-x^4+22*f(x)*x^2-12*f(x)*x-2*x^2+2*f(x)+4*x-2 ogf] A071765 4.58241 [-(173591*f(x)+19099656)*(144*f(x)*x^4-240*f(x)*x^3+115*f(x)*x^2-20*f(x)*x+360*x^2+f(x)-96*x) ogf] A071768 11.6898 [-2*(2+11*x+4*x^5+16*x^4-2*x^3-4*x^2)/(x-1)/(2*x+1)/(x^2+x+1)/(2*x^2+5*x-1) lgdogf] A071768 8.77986 [-x*(2*x+1)*(2*x^2+5*x-1)/(x-1)/(x^2+x+1)^2 ogf] A071769 3.92562 [-x*(2304*x^8+2304*x^7+1280*x^6-704*x^5+224*x^4+48*x^3+16*x^2-4*x+1)/(2*x-1)^2/(2*x+1)^2/(4*x^2+1)^3 ogf] A071784 11.2511 [(3*x^2-2)/(x-1)/(x^3-x^2+1) ogf] A071784 13.4714 [-(-2+2*x+6*x^5-6*x^4-8*x^3+9*x^2)/(x-1)/(3*x^2-2)/(x^3-x^2+1) lgdogf] A071784 5.66914 [-(9*f(x)+4)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2-f(x)+2) ogf] A071816 10.7435 [-2*(10+71*x+x^4+23*x^3+93*x^2)/(x-1)/(x^4+14*x^3+36*x^2+14*x+1) lgdogf] A071816 6.45275 [(x^4+14*x^3+36*x^2+14*x+1)/(x-1)^6 ogf] A071817 8.76317 [-2*x^9-x^8+3 ogf_with_Euler_transform] A071831 5.46097 [(15*x^27+9*x^22+15*x^20+5*x^16+9*x^15+15*x^13+3*x^11+5*x^9+9*x^8-15*x^6-5*x^5-3*x^4-4*x^3-5*x^2-9*x-1)/(2*x^7-1) ogf] A071832 6.19558 [(x^27+x^22+2*x^20+x^16+2*x^15+4*x^13+x^11+2*x^9+4*x^8-8*x^6-3*x^5-2*x^4-3*x^3-4*x^2-8*x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A071833 8.62392 [-(45*x^6+40*x^5+36*x^4+32*x^3+30*x^2+27*x+24)/(2*x^7-1) ogf] A071840 7.85589 [-x^2*(x^48-x^40-x^32+x^24-1)/(x+1)/(x^2+1)/(x^4+1)/(x^32+1)/(x-1)^2 ogf] A071841 6.39920 [x^4*(2*x^48+x^32+4*x^24+2)/(x-1)/(x^48+x^40-x^32-2*x^16+2*x^8-2) ogf] A071878 19.3397 [x/(1+2*x)/(3*x+1)/(1+x) revogf] A071878 8.48791 [6*x^3*f(x)^3+11*f(x)^2*x^2+6*f(x)*x-f(x)+1 ogf] A071879 11.4718 [x^3*f(x)^3+f(x)*x-f(x)+1 ogf] A071879 60.2940 [x/(1+x+x^3) revogf] A071902 10.7312 [-(-5-95*x+2*x^4-29*x^3-113*x^2)/(x-1)/(x^4-11*x^3-20*x^2-11*x+1) lgdogf] A071902 6.51495 [-(x^4-11*x^3-20*x^2-11*x+1)/(x-1)^6 ogf] A071910 24.1452 [-5*(2+4*x+x^2)/(x-1)/(x^2+3*x+1) lgdogf] A071910 3.89527 [{(n+3)*a(n+4)+(-6+2*n)*a(n+3)+(-22-2*n)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=18,a(2)=180,a(3)=900} ogf] A071910 7.52837 [-18*x*(x^2+3*x+1)/(x-1)^7 ogf] A071930 10.1505 [-8*f(x)*x^2-2*f(x)*x+f(x)-6*x ogf] A071930 14.7368 [1/8*(-x-3+(3+2*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A071930 16.1859 [-6*x/(2*x+1)/(4*x-1) ogf] A071930 21.8323 [-2*(1+8*x)/(2*x+1)/(-1+4*x) lgdogf] A071930 7.39357 [{-a(n+2)+2*a(n+1)+8*a(n),a(0)=0,a(1)=6} ogf] A071934 8.83580 [(x^7+x^6+x^5+x^4+x^3+x^2-x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A071936 13.0715 [-(x^7+x^6+x^5+x^4+x^3+x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A071937 6.14467 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A071938 8.77747 [-1+(3-3*x)*f(x)+(-3-3*x^2+6*x)*f(x)^2+(-3*x+3*x^2-x^3+1)*f(x)^3 lgdogf] A071952 3.76838 [(1821906383*f(x)+49779000)*(2880*f(x)*x^4-2304*f(x)*x^3+508*f(x)*x^2-40*f(x)*x+f(x)-1) ogf] A071952 8.18780 [-8*(-5+127*x+1440*x^3-864*x^2)/(12*x-1)/(6*x-1)/(20*x-1)/(2*x-1) lgdogf] A071952 9.22603 [1/(-1+12*x)/(6*x-1)/(20*x-1)/(2*x-1) ogf] A071953 17.4715 [-(13+42*x+15*x^2)/(x-1)/(3*x^2+6*x+1) lgdogf] A071953 6.66440 [-4*(3*x^2+6*x+1)/(x-1)^7 ogf] A071954 12.0130 [-2*(-1+5*x+3*x^3-9*x^2)/(x-1)/(-1+3*x)/(x^2-4*x+1) lgdogf] A071954 13.7701 [2*(3*x-1)/(x-1)/(x^2-4*x+1) ogf] A071954 6.45853 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=10} ogf] A071954 6.95061 [(81*f(x)+55)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)-6*x+2) ogf] A071969 13.4418 [-1+f(x)-f(x)^2*x-x^3*f(x)^3 ogf] A071969 31.1894 [-x*(-1+x)/(1+x)/(x^2-x+1) revogf] A071976 9.15082 [8+(-12+48*x)*f(x)+(6+96*x^2-48*x)*f(x)^2+(12*x-48*x^2+64*x^3-1)*f(x)^3 lgdogf] A072025 15.7511 [-(11+33*x+x^3+15*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A072025 8.24956 [-(x^2+4*x+1)*(x+1)^2/(x-1)^5 ogf] A072051 3.31826 [(11*f(x)*x-f(x)+11)^2 ogf] A072065 10.5855 [-(9+13*x+7*x^5+31*x^4+2*x^6+20*x^3+14*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2+7*x+2) lgdogf] A072065 11.7695 [x*(x^3+2*x^2+7*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072100 3.63431 [{(-4*n-8)*a(n+1)+(4*n+6)*a(n+2)+(n+6)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A072100 5.60886 [2*x^3*f(x)^2-5*f(x)^2*x^2+4*f(x)^2*x+2*f(x)*x^2-f(x)^2-3*f(x)*x+f(x)+x ogf] A072110 12.2075 [(3*x-1)/(x-1)/(x^2-4*x+1) ogf] A072110 12.9412 [-2*(-1+5*x-9*x^2+3*x^3)/(x-1)/(3*x-1)/(x^2-4*x+1) lgdogf] A072110 5.77674 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A072110 6.10372 [(162*f(x)+55)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)-3*x+1) ogf] A072129 2.46816 [(f(x)-1)^2*(-6*x^4+f(x)-1) ogf] A072130 7.29382 [-(-5+2*x+2*x^7-3*x^6-8*x^5+14*x^4+2*x^3+2*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A072130 8.22765 [x*(x+1)*(x^2-x-1)/(x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A072132 10.7250 [-8+(12-12*x)*f(x)+(-6-6*x^2+12*x)*f(x)^2+(-3*x+3*x^2-x^3+1)*f(x)^3 lgdegf] A072134 7.29210 [(5+22*x+18*x^7+54*x^6+42*x^5-3*x^4-10*x^3+20*x^2)/(x+1)/(3*x^2-1)/(3*x^5+9*x^4+11*x^3-2*x^2-8*x-3) lgdogf] A072134 8.47497 [(3*x^5+9*x^4+11*x^3-2*x^2-8*x-3)/(x+1)/(3*x^2-1) ogf] A072150 5.52323 [(x^12+3*x^11+5*x^10+7*x^9+7*x^8+8*x^7+9*x^6+8*x^5+7*x^4+7*x^3+5*x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A072153 5.38208 [(x^6+x^3+1)*(x^2+x+1)^2/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A072154 23.0331 [-x^5+x^4-x+3 ogf_with_Euler_transform] A072154 8.20820 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A072167 8.45065 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A072172 12.4212 [5*(25*x+1)/(25*x-1)^2 ogf] A072172 16.0518 [-1/50*(-1-10*x+(1+40*x)^(1/2))/(5*x-1) revogf] A072172 20.3323 [-25*(3+25*x)/(25*x-1)/(25*x+1) lgdogf] A072172 6.67806 [(16*f(x)+325)*(625*f(x)*x^2-50*f(x)*x+f(x)-125*x-5) ogf] A072172 7.13862 [{-a(n+2)+50*a(n+1)-625*a(n),a(0)=5,a(1)=375} ogf] A072173 12.5203 [-1/114242*(-1-478*x+(1+1912*x)^(1/2))/(-1+239*x) revogf] A072173 14.3090 [-57121*(3+57121*x)/(57121*x-1)/(57121*x+1) lgdogf] A072173 5.39987 [(16*f(x)+15535)*(3262808641*f(x)*x^2-114242*f(x)*x+f(x)-13651919*x-239) ogf] A072175 7.43838 [-(2*x^7+2*x^6+x^5-x^4+x+1)/(x-1)/(x^4+1)/(x^2+1) ogf] A072175 9.30792 [-2*(x^2+x+1)*(2*x^10-3*x^9+x^8+x^7-x^5+6*x^4-3*x^3+2*x^2-2*x+1)/(x-1)/(x^2+1)/(x^4+1)/(2*x^7+2*x^6+x^5-x^4+x+1) lgdogf] A072176 10.9203 [-(-1+3*x^6+2*x^5-10*x^4+5*x^2)/(x-1)/(x^2+x-1)/(x^4-2*x^2-x+1) lgdogf] A072176 8.97619 [(x^2+x-1)/(x-1)/(x^4-2*x^2-x+1) ogf] A072196 4.63874 [(4487*f(x)+1662)*(64*f(x)*x^2-65*f(x)*x+f(x)-18*x-3) ogf] A072196 5.07026 [{-a(n+2)+65*a(n+1)-64*a(n),a(0)=3,a(1)=213} ogf] A072196 8.68942 [-1/4*(-3-65*x+(9+462*x+3969*x^2)^(1/2))/(-9+32*x) revogf] A072196 9.08421 [3*(6*x+1)/(64*x-1)/(x-1) ogf] A072196 9.90190 [-(-71+128*x+384*x^2)/(x-1)/(64*x-1)/(6*x+1) lgdogf] A072197 14.7069 [-1/4*(-3-5*x+(9+22*x+9*x^2)^(1/2))/(1+2*x) revogf] A072197 16.2550 [-(13-24*x+8*x^2)/(x-1)/(4*x-1)/(2*x-3) lgdogf] A072197 16.6666 [-(2*x-3)/(x-1)/(4*x-1) ogf] A072197 8.62067 [(41*f(x)+46)*(4*f(x)*x^2-5*f(x)*x+f(x)+2*x-3) ogf] A072197 9.03613 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=3,a(1)=13} ogf] A072201 12.1133 [-(14*x-15)/(x-1)/(4*x-1) ogf] A072201 12.3810 [-1/4*(-15-5*x+(225+94*x+9*x^2)^(1/2))/(7+2*x) revogf] A072201 13.2654 [-(61-120*x+56*x^2)/(14*x-15)/(x-1)/(4*x-1) lgdogf] A072201 6.25633 [(185*f(x)+946)*(4*f(x)*x^2-5*f(x)*x+f(x)+14*x-15) ogf] A072201 6.77768 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=15,a(1)=61} ogf] A072221 11.7058 [-2*(2-3*x+2*x^4-3*x^3-2*x^2)/(x-1)/(x^2-6*x+1)/(4*x^2-3*x+1) lgdogf] A072221 11.7195 [-(4*x^2-3*x+1)/(x-1)/(x^2-6*x+1) ogf] A072221 6.16287 [(1208*f(x)-581)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A072221 6.32648 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=25} ogf] A072222 11.1056 [(2*x^7-4*x^6+4*x^4-x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A072222 8.86638 [(-1+x+6*x^9-10*x^8+2*x^7-10*x^6+20*x^5-2*x^4-15*x^3-3*x^2)/(x-1)/(x^2+x+1)/(2*x^7-4*x^6+4*x^4-x^2+1) lgdogf] A072229 11.6986 [(x^2+1)*(x+1)*x^4/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A072229 30.9668 [x^6-x^3+2 ogf_with_Euler_transform] A072229 8.74555 [-(2+4*x+5*x^9+7*x^8+9*x^7+11*x^6+4*x^5+4*x^4+4*x^3+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A072251 10.5467 [-3*(24*x^2-30*x+5)/(x-1)/(4*x-1)^2 ogf] A072251 13.7613 [-3*(4*x-5)*(8*x^2-8*x+1)/(x-1)/(4*x-1)/(24*x^2-30*x+5) lgdogf] A072251 5.70557 [(1214*f(x)+7953)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+72*x^2-f(x)-90*x+15) ogf] A072251 5.89897 [{-a(n+3)+9*a(n+2)-24*a(n+1)+16*a(n),a(0)=15,a(1)=45,a(2)=117} ogf] A072256 12.7644 [-(9*x-1)/(x^2-10*x+1) ogf] A072256 13.6948 [-1/2*(-1-10*x+(1-16*x+96*x^2)^(1/2))/(9+x) revogf] A072256 16.4337 [-(1-2*x+9*x^2)/(9*x-1)/(x^2-10*x+1) lgdogf] A072256 6.38221 [-(80*f(x)-79)*(f(x)*x^2-10*f(x)*x+f(x)+9*x-1) ogf] A072256 7.07425 [{a(n+2)-10*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A072257 4.13461 [(1820*f(x)-5697)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x-36*x^2-f(x)+39*x-6) ogf] A072257 4.31282 [{-a(n+3)+9*a(n+2)-24*a(n+1)+16*a(n),a(0)=-6,a(1)=-15,a(2)=-27} ogf] A072257 7.69672 [3*(12*x^2-13*x+2)/(x-1)/(4*x-1)^2 ogf] A072257 9.20910 [-(-5+52*x+48*x^3-92*x^2)/(x-1)/(4*x-1)/(12*x^2-13*x+2) lgdogf] A072258 12.8279 [-(23-52*x+32*x^2)/(x-1)/(4*x-3)/(4*x-1) lgdogf] A072258 4.3903 [-(23*f(x)+27)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x-12*x^2-f(x)+9*x) ogf] A072258 4.46732 [{-a(n+3)+9*a(n+2)-24*a(n+1)+16*a(n),a(0)=0,a(1)=9,a(2)=69} ogf] A072258 8.48790 [3*x*(4*x-3)/(x-1)/(4*x-1)^2 ogf] A072259 10.6417 [-3*(12*x^2-17*x+4)/(x-1)/(4*x-1)^2 ogf] A072259 5.57421 [-(1796*f(x)+3753)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+36*x^2-f(x)-51*x+12) ogf] A072259 5.95212 [{-a(n+3)+9*a(n+2)-24*a(n+1)+16*a(n),a(0)=12,a(1)=57,a(2)=261} ogf] A072259 8.30753 [-(-19+92*x+48*x^3-124*x^2)/(x-1)/(4*x-1)/(12*x^2-17*x+4) lgdogf] A072260 3.80623 [-(164*f(x)+105)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+12*x^2-f(x)-21*x+6) ogf] A072260 4.00142 [{-a(n+3)+9*a(n+2)-24*a(n+1)+16*a(n),a(0)=6,a(1)=33,a(2)=165} ogf] A072260 7.20255 [-3*(4*x^2-7*x+2)/(x-1)/(4*x-1)^2 ogf] A072260 8.77670 [-(2*x-1)*(8*x^2-22*x+11)/(x-1)/(4*x-1)/(4*x^2-7*x+2) lgdogf] A072261 13.3258 [-(6*x-7)/(x-1)/(4*x-1) ogf] A072261 13.6581 [-1/4*(-7-5*x+(49+46*x+9*x^2)^(1/2))/(3+2*x) revogf] A072261 15.0589 [-(29-56*x+24*x^2)/(x-1)/(6*x-7)/(4*x-1) lgdogf] A072261 7.22484 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=7,a(1)=29} ogf] A072261 8.16182 [(89*f(x)+218)*(4*f(x)*x^2-5*f(x)*x+f(x)+6*x-7) ogf] A072262 13.0876 [-(10*x-11)/(x-1)/(4*x-1) ogf] A072262 13.3945 [-1/4*(-11-5*x+(121+70*x+9*x^2)^(1/2))/(5+2*x) revogf] A072262 14.7013 [-(45-88*x+40*x^2)/(10*x-11)/(x-1)/(4*x-1) lgdogf] A072262 6.75953 [(137*f(x)+518)*(4*f(x)*x^2-5*f(x)*x+f(x)+10*x-11) ogf] A072262 7.32282 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=11,a(1)=45} ogf] A072263 14.9015 [(3*x-2)/(5*x^2+3*x-1) ogf] A072263 16.8681 [-(-3-20*x+15*x^2)/(3*x-2)/(5*x^2+3*x-1) lgdogf] A072263 7.36889 [-(29*f(x)-49)*(5*f(x)*x^2+3*f(x)*x-f(x)-3*x+2) ogf] A072263 8.17767 [{-a(n+2)+3*a(n+1)+5*a(n),a(0)=2,a(1)=3} ogf] A072264 17.0145 [(2*x-1)/(5*x^2+3*x-1) ogf] A072264 19.2980 [-(-1-10*x+10*x^2)/(2*x-1)/(5*x^2+3*x-1) lgdogf] A072264 8.80061 [(69*f(x)-68)*(5*f(x)*x^2+3*f(x)*x-f(x)-2*x+1) ogf] A072264 9.33724 [{-a(n+2)+3*a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A072265 17.0816 [(x-2)/(4*x^2+x-1) ogf] A072265 22.2078 [-(-1-16*x+4*x^2)/(x-2)/(4*x^2+x-1) lgdogf] A072265 8.63675 [(170*f(x)-339)*(4*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A072265 9.37404 [{-a(n+2)+a(n+1)+4*a(n),a(0)=2,a(1)=1} ogf] A072266 4.39543 [-f(x)*(4*f(x)*x^4-25*f(x)*x^3-2*x^4+26*f(x)*x^2+16*x^3-9*f(x)*x-20*x^2+f(x)+8*x-1) ogf] A072266 6.30770 [(1-12*x+14*x^6-56*x^5+126*x^4-120*x^3+55*x^2)/(4*x-1)/(x^3-6*x^2+5*x-1)/(2*x^4-16*x^3+20*x^2-8*x+1) lgdogf] A072266 7.16110 [(2*x^4-16*x^3+20*x^2-8*x+1)/(4*x-1)/(x^3-6*x^2+5*x-1) ogf] A072277 14.7555 [-(-25+23*x+3*x^3-13*x^2)/(x-2)/(x-1)/(3*x^2-5*x+5) lgdogf] A072277 4.06774 [{(7*n^2+53*n+78)*a(n+1)+(-14*n^2-96*n-156)*a(n+2)+(7*n^2+43*n+66)*a(n+3),a(0)=10,a(1)=25,a(2)=51} ogf] A072277 5.05055 [(65799*f(x)+469645)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-11*x^2+f(x)+15*x-10) ogf] A072277 9.40665 [-(x-2)*(3*x^2-5*x+5)/(x-1)^4 ogf] A072290 12.0845 [-(-11-21*x+1820*x^3-330*x^2)/(x-1)/(10*x-1)/(91*x^2-11*x+1) lgdogf] A072290 4.86555 [(1309122*f(x)+972067)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-22*f(x)*x-91*x^2+f(x)+11*x-1) ogf] A072290 9.29445 [(91*x^2-11*x+1)/(10*x-1)^2/(x-1)^2 ogf] A072328 11.9721 [-2*f(x)*x^3-f(x)*x^2+x^2+f(x)-3 ogf] A072328 15.1345 [(x^2-3)/(2*x^3+x^2-1) ogf] A072328 20.2818 [-2*x*(-2+x^3-9*x)/(x^2-3)/(2*x^3+x^2-1) lgdogf] A072328 8.62506 [{a(n+3)-a(n+1)-2*a(n),a(0)=3,a(1)=0,a(2)=2} ogf] A072329 3.77394 [(3165*f(x)-13591)*(3*f(x)*x^3+2*f(x)*x^2-2*x^2-f(x)+3) ogf] A072329 3.89568 [{a(n+3)-2*a(n+1)-3*a(n),a(0)=3,a(1)=0,a(2)=4} ogf] A072329 6.83581 [(2*x^2-3)/(3*x^3+2*x^2-1) ogf] A072329 8.01735 [-x*(-8+6*x^3-27*x)/(2*x^2-3)/(3*x^3+2*x^2-1) lgdogf] A072331 9.04821 [2*(-32*x-20+(-(-1+8*x)^3)^(1/2))/(8*x+3)/(-1+8*x) lgdegf] A072333 3.98865 [(x^18-3*x^17+3*x^16-x^15+x^10+x^9+5*x^8+6*x^6+x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A072335 18.4083 [-4*(1+x^3-3*x^2)/(x-1)/(x+1)/(x^2-4*x+1) lgdogf] A072335 20.2531 [-1/(x-1)/(x+1)/(x^2-4*x+1) ogf] A072335 5.94733 [{a(n+4)-4*a(n+3)+4*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=16,a(3)=60} ogf] A072335 7.27536 [(1463*f(x)-31)*(f(x)*x^4-4*f(x)*x^3+4*f(x)*x-f(x)+1) ogf] A072336 11.1918 [-(-x^3+3*x^2-3)/(-x^4+3*x^3-3*x+1) ogf_with_Euler_transform] A072338 12.3167 [-(-x^3+2*x^2-2)/(-x^4+2*x^3-2*x+1) ogf_with_Euler_transform] A072345 11.4137 [2*f(x)*x^4-3*f(x)*x^2+2*x^3+2*x^2+f(x)-2*x-1 ogf] A072345 11.9673 [-2*(1+x-3*x^4+4*x^5+2*x^6-4*x^3)/(x-1)/(x+1)/(2*x^2-1)/(2*x^3+2*x^2-2*x-1) lgdogf] A072345 13.8720 [-(2*x^3+2*x^2-2*x-1)/(2*x^2-1)/(x-1)/(x+1) ogf] A072371 5.92123 [{(4*n^2+12*n+9)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=5} ogf] A072373 4.79412 [-(8*x^7-80*x^6+280*x^5-417*x^4+278*x^3-70*x^2+6*x-1)/(x-1)^2/(x^2-4*x+1)^2 ogf] A072374 4.66628 [{(-n-4)*a(n+1)+(n+4)*a(n+2)-2*a(n+4)+3*a(n+3),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A072401 6.74477 [-x^7*(x^2-x+1)*(x^22+x^21+x^14+x^13-x^11-x^10+x^8+x^7+x^6-x^4-x^3+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x^16+1) ogf] A072442 10.2402 [-(x^34-x^33+x^5-x^4+x^2-x-1)/(x-1)^2 ogf] A072465 11.2936 [-(x+1)/(x^5+x^4+x^3+x^2-1) ogf] A072465 12.8452 [-(2*x^2+2*x+1)*(2*x^3+2*x^2+1)/(x+1)/(x^5+x^4+x^3+x^2-1) lgdogf] A072474 11.2749 [-(13+63*x+25*x^3+77*x^2+2*x^4)/(x-1)/(x^2+3*x+1)/(x^2+4*x+1) lgdogf] A072474 6.57364 [(x^2+3*x+1)*(x^2+4*x+1)/(x-1)^6 ogf] A072477 4.96982 [{(16*n^2+112*n+196)*a(n+1)-a(n+2),a(0)=18,a(1)=1800} ogf] A072478 7.41620 [(2+8*x-16*x^3-6*x^2+12*x^10+8*x^5-5*x^4-32*x^8+31*x^6)/(x-1)/(x+1)/(2*x^2-1)/(2*x^7-x^5-4*x^3-2*x^2+2*x+2) lgdogf] A072478 9.38856 [x*(2*x^7-x^5-4*x^3-2*x^2+2*x+2)/(x-1)/(x+1)/(2*x^2-1) ogf] A072507 5.59510 [2/(2*x+1) lgdogf] A072547 7.41127 [4*f(x)^2*x^2+7*f(x)^2*x-2*f(x)^2-8*f(x)*x+2*f(x)+x ogf] A072557 10.9685 [(x^4+x^3+5*x^2+6*x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A072557 8.04204 [-(11+21*x+21*x^3+19*x^2+22*x^6+4*x^7+2*x^8+43*x^4+37*x^5)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+5*x^2+6*x+5) lgdogf] A072561 6.86547 [(3*x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A072563 7.16812 [-(15*x^5+23*x^4-39*x^3-45*x^2+9*x+9)/(x-1)/(x+1)/(x^4-5*x^2+1) ogf] A072674 10.9340 [2*x*(5*x-2)/(x-1)/(3*x-1)/(2*x-1) ogf] A072674 11.7654 [-(-7+44*x+60*x^3-91*x^2)/(x-1)/(3*x-1)/(2*x-1)/(5*x-2) lgdogf] A072674 5.70888 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=0,a(1)=4,a(2)=14} ogf] A072674 5.81174 [(5*f(x)+102)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-10*x^2-f(x)+4*x) ogf] A072675 7.37062 [(x^8+18*x^7+13*x^6+6*x^5+3*x^4+11*x^3+6*x^2+x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A072682 10.4534 [3*(x^4+x^3+6*x^2+11*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072682 8.90043 [-(12+x^7+24*x+20*x^5+3*x^6+27*x^3+21*x^2+52*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+6*x^2+11*x+1) lgdogf] A072683 7.54533 [(7*x^8+6*x^7+x^6+2*x^5+18*x^4+13*x^3+6*x^2+3*x+4)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A072684 6.30087 [-(3+4*x^7+x^8+26*x-24*x^5+4*x^6-26*x^3+2*x^2-15*x^4)/(x+1)/(x^2-3*x+1)/(x^2-x-1)/(x^4+2*x^3+3*x^2+x+2) lgdogf] A072684 7.05239 [-(x^4+2*x^3+3*x^2+x+2)/(x+1)/(x^2-3*x+1)/(x^2-x-1) ogf] A072702 10.5365 [3*(3*x^4+11*x^3+2*x^2+x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072702 8.57414 [-(4+3*x^7+8*x+20*x^5+25*x^6+41*x^3+39*x^2+20*x^4)/(x-1)/(x+1)/(x^2+1)/(3*x^4+11*x^3+2*x^2+x+3) lgdogf] A072703 12.4400 [5*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A072703 18.5779 [-(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A072703 30.2008 [-x^2+x+2 ogf_with_Euler_transform] A072703 6.65652 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=10,a(2)=20} ogf] A072703 6.77538 [(f(x)+43)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-5*x-5) ogf] A072708 10.3724 [3*(4*x^4+2*x^3+x^2+6*x+7)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072708 8.75171 [-(13+4*x^7+15*x+9*x^5+8*x^6+60*x^3+20*x^2+31*x^4)/(x-1)/(x+1)/(x^2+1)/(4*x^4+2*x^3+x^2+6*x+7) lgdogf] A072709 7.47796 [(4*x^8+13*x^7+6*x^6+3*x^5+11*x^4+6*x^3+x^2+2*x+14)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A072710 10.3529 [3*(9*x^4+2*x^3+x^2+6*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072710 8.53190 [-(8+9*x^7+10*x+14*x^5+13*x^6+55*x^3+15*x^2+36*x^4)/(x-1)/(x+1)/(x^2+1)/(9*x^4+2*x^3+x^2+6*x+2) lgdogf] A072711 7.33688 [(2*x^8+6*x^7+3*x^6+11*x^5+6*x^4+x^3+2*x^2+18*x+11)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A072713 10.3348 [-(f(x)*x-f(x)+1)^3 ogf] A072751 11.3942 [(x^2+1)*(x^12-x^11-x^10+x^9+x^8-x^7-x^6+x^5+2*x^4-x^3-x-1)/(x-1) ogf] A072751 7.65888 [(2+2*x-12*x^3+5*x^2-6*x^5+5*x^6+13*x^12-26*x^13+13*x^14+6*x^4)/(x-1)/(x^2+1)/(x^12-x^11-x^10+x^9+x^8-x^7-x^6+x^5+2*x^4-x^3-x-1) lgdogf] A072818 11.3121 [20*x/(x^2-98*x+1) ogf] A072818 18.8468 [-2*(-49+x)/(x^2+1-98*x) lgdogf] A072818 5.31531 [{a(n+2)-98*a(n+1)+a(n),a(0)=0,a(1)=20} ogf] A072818 7.23232 [-f(x)*x^2+98*f(x)*x-f(x)+20*x ogf] A072818 8.33609 [-(-49*x-10+2*(1+5*x)^(1/2)*(24*x+5)^(1/2)*5^(1/2))/x revogf] A072819 33.3919 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A072819 35.0456 [[6-x] ogf_with_Euler_transform] A072819 5.61961 [{(n+1)*a(n+3)-6*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=8} ogf] A072819 9.38973 [-8*x^2*(x+1)/(x-1)^5 ogf] A072827 4.26015 [-(x^9+x^8+x^6+x^5-5*x^4-5*x^3-2*x^2-x-1)/(x^10+x^9+x^7+x^6-6*x^5-5*x^4-3*x^3-2*x^2-x+1) ogf] A072833 12.5906 [x*(3*x^2-2*x+5)/(x^2+1)/(x-1)^2 ogf] A072833 4.66554 [{(3*n+10)*a(n+1)+(-3*n-7)*a(n+2)+(3*n+10)*a(n+3)+(-3*n-7)*a(n+4),a(0)=0,a(1)=5,a(2)=8,a(3)=9} ogf] A072833 5.76617 [-2*(4-3*x-3*x^3+11*x^2+3*x^4)/(x-1)/(1+x^2)/(3*x^2-2*x+5) lgdogf] A072833 6.66024 [(204*f(x)+1933)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x+2*x^2+f(x)-5*x) ogf] A072834 12.6075 [x*(x^3+3*x^2+5*x+7)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072835 11.5152 [-2*x*(x^4-x^3-2*x^2-3*x-4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A072836 9.61035 [-x*(5*x^6-x^5-3*x^4-x^3-4*x^2-7*x-9)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A072844 12.2444 [-(-9+52*x+16*x^3-75*x^2)/(-1+4*x)/(x^3-6*x^2+5*x-1) lgdogf] A072844 12.3075 [x^3/(4*x-1)/(x^3-6*x^2+5*x-1) ogf] A072844 6.21466 [-4*f(x)*x^4+25*f(x)*x^3-26*f(x)*x^2+x^3+9*f(x)*x-f(x) ogf] A072863 10.5340 [-(3*x^2-3*x+1)/(2*x-1)^3 ogf] A072863 16.8364 [-3*(1-2*x+2*x^2)/(2*x-1)/(3*x^2-3*x+1) lgdogf] A072863 5.4426 [-(352*f(x)+161)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A072863 5.77974 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A072878 6.54191 [-3+(9-x^3)*f(x)+(-9+2*x^3)*f(x)^2+(-x^3+3)*f(x)^3 lgdegf] A072879 5.10075 [24+3*x^4-5384*x^3-84*x^2+(-48-3*x^4+10768*x^3+168*x^2)*f(x)+(-5384*x^3+24-84*x^2)*f(x)^2 lgdegf] A072880 6.22699 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 ogf] A072881 6.69137 [-(3*x^5+7*x^4-11*x^3-13*x^2+x+1)/(x-1)/(x+1)/(x^4-13*x^2+1) ogf] A072886 7.80223 [(3-x+6*x^8-13*x^7+7*x^6+28*x^27-55*x^28+27*x^29+32*x^31-63*x^32+31*x^33)/(x-1)/(x^33-x^32+x^29-x^28+x^8-x^7+x-2) lgdogf] A072886 9.18454 [-(x^33-x^32+x^29-x^28+x^8-x^7+x-2)/(x-1)^2 ogf] A072944 10.1622 [(3+8*x+8*x^6+16*x^3+18*x^2+16*x^4)/(4*x^3-1)/(2*x^4+2*x^3-4*x^2-3*x-2) lgdogf] A072944 11.1661 [(2*x^4+2*x^3-4*x^2-3*x-2)/(4*x^3-1) ogf] A072944 6.65867 [{a(n+5)-4*a(n+2),a(0)=2,a(1)=3,a(2)=4,a(3)=6,a(4)=10} ogf] A072944 7.97576 [(4*f(x)-1)*(4*f(x)*x^3-2*x^4-2*x^3+4*x^2-f(x)+3*x+2) ogf] A072946 14.7391 [-2*f(x)*x^2-4*x^2+f(x)-2*x-1 ogf] A072946 15.9423 [-(4*x^2+2*x+1)/(2*x^2-1) ogf] A072946 19.1556 [-2*(1+6*x+2*x^2)/(4*x^2+2*x+1)/(2*x^2-1) lgdogf] A072946 9.29968 [{-a(n+3)+2*a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A072975 3.78480 [{(-27*n^2-108*n-105)*a(n+1)+(2*n^2+7*n+6)*a(n+2),a(0)=1,a(1)=24} ogf] A072975 5.40955 [78732*x^3*f(x)^3-17496*f(x)^3*x^2+1296*f(x)^3*x-32*f(x)^3+405*f(x)*x+24*f(x)+27*x+8 ogf] A072975 8.22216 [hypergeom([2/3,4/3],[1/2],27/2*x) ogf] A072976 3.35835 [-78732*x^3*f(x)^3+17496*f(x)^3*x^2-1296*f(x)^3*x+32*f(x)^3+567*f(x)*x-1458*x^2-96*f(x)+594*x-64 ogf] A072976 3.81508 [{(27*n^2+108*n+96)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=2,a(1)=30} ogf] A072976 7.69169 [2*hypergeom([1/3,5/3],[1/2],27/2*x) ogf] A072985 14.1774 [-(4*x^2+2*x+1)/(3*x^2-1) ogf] A072985 17.0147 [-2*(1+7*x+3*x^2)/(3*x^2-1)/(4*x^2+2*x+1) lgdogf] A072985 8.27015 [{-a(n+3)+3*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A072985 8.79358 [-(7*f(x)-5)*(3*f(x)*x^2+4*x^2-f(x)+2*x+1) ogf] A072988 11.0510 [{-a(n+3)+a(n+1),a(0)=1,a(1)=3,a(2)=10} ogf] A072988 11.5967 [-(20*f(x)-11)*(f(x)*x^2+9*x^2-f(x)+3*x+1) ogf] A072988 19.1701 [-(9*x^2+3*x+1)/(x-1)/(x+1) ogf] A072988 22.4783 [-(3+20*x+3*x^2)/(x-1)/(x+1)/(9*x^2+3*x+1) lgdogf] A072996 10.3260 [{-a(n+4)+a(n+2),a(0)=1,a(1)=1,a(2)=5,a(3)=2} ogf] A072996 10.7749 [-(412*f(x)+2003)*(f(x)*x^2+x^3+4*x^2-f(x)+x+1) ogf] A072996 17.3911 [-(x^3+4*x^2+x+1)/(x-1)/(x+1) ogf] A072996 20.6953 [(-1-10*x-4*x^2+x^4)/(x-1)/(x+1)/(x^3+4*x^2+x+1) lgdogf] A073031 15.3468 [-1/(x^10+x^5+x^2+x-1) ogf] A073031 17.2905 [-(1+2*x+10*x^9+5*x^4)/(x^2-1+x+x^10+x^5) lgdogf] A073032 4.76561 [(8512667954833177027*f(x)-72606633766203729789176614)*(f(x)*x^4+19252208*x^3+18914992*x^2-f(x)+20100368*x+18048976) ogf] A073032 8.63418 [-16*(1203263*x^3+1182187*x^2+1256273*x+1128061)/(x-1)/(x+1)/(x^2+1) ogf] A073033 3.95451 [-(1479136597227275273595211177*f(x)-17306935870373616010096896788466703)*(f(x)*x^4+24289964*x^3+28630036*x^2-f(x)+20522060*x+18656380) ogf] A073033 8.18815 [-4*(6072491*x^3+7157509*x^2+5130515*x+4664095)/(x-1)/(x+1)/(x^2+1) ogf] A073053 6.89576 [-(101*x^20+101*x^19+101*x^11+22*x^10+11*x^9+101*x+11)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A073054 9.72231 [(3*x^20-x^19-2*x^11-4*x^10-2*x-5)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A073071 5.47175 [-(x^23-x^22-x^13+2*x^10-2*x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-x^2-x-3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A073080 4.85460 [-3*(4*x^36-10*x^33-2*x^30+4*x^27-8*x^21-2*x^12-x^9+x^6-x^3-1)/(x+1)/(4*x^30+2*x^24+2*x^18+2*x^12+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A073104 2.74674 [-(1601*x^2-3122*x+1523)/(x-1)^3 ogf] A073145 12.7929 [-(x^2+2*x+3)/(x^3-x^2-x-1) ogf] A073145 16.5702 [-(-1-4*x+4*x^3+8*x^2+x^4)/(x^2+2*x+3)/(x^3-x^2-x-1) lgdogf] A073145 6.90589 [(11*f(x)-27)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2-f(x)+2*x+3) ogf] A073145 6.96754 [{-a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=-1,a(2)=-1} ogf] A073155 14.6584 [1/2/x^2*(-1-2*x^2+(1+4*x^2+4*x^3)^(1/2)) revogf] A073155 7.77765 [-x^3*f(x)^2-2*f(x)^2*x^2-f(x)^2*x+f(x)-1 ogf] A073157 14.6584 [-1/2-1/2*x^2+1/2*(1-2*x^2+x^4+4*x)^(1/2) revogf] A073157 9.50602 [-f(x)^2*x^2-f(x)^2*x+f(x)-x-1 ogf] A073252 17.1770 [-(-2*x^2+2*x-2)/(-x^4+1) ogf_with_Euler_transform] A073252 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)*2^(1/2) A073301 6.78579 [(-20*x^3-15*x^2-16*x^4-6*x+x^12-2*x^10+2*x^9-3*x^8-4*x^7-12*x^5-11*x^6-2)/(x+1)/(x^2+1)/(x^6+2*x^3-1)/(x^4+x^2+x+1) lgdogf] A073301 8.20198 [-(x+1)*(x^2+1)*(x^4+x^2+x+1)/(x^6+2*x^3-1) ogf] A073313 10.9141 [-(2*x-1)*(2*x-3)/(2*x^3-4*x^2+4*x-1) ogf] A073313 5.89167 [(11*f(x)-57)*(2*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-8*x+3) ogf] A073313 5.94429 [{a(n+3)-4*a(n+2)+4*a(n+1)-2*a(n),a(0)=3,a(1)=4,a(2)=8} ogf] A073313 9.88752 [-2*(2-8*x-16*x^3+17*x^2+4*x^4)/(2*x-1)/(2*x-3)/(2*x^3-4*x^2+4*x-1) lgdogf] A073314 15.4396 [-(4*x-3)/(2*x^3-2*x+1) ogf] A073314 17.7549 [-2*(x-1)*(8*x^2-x-1)/(4*x-3)/(2*x^3-2*x+1) lgdogf] A073314 7.39128 [{-a(n+3)+2*a(n+2)-2*a(n),a(0)=3,a(1)=2,a(2)=4} ogf] A073314 7.63493 [-(11*f(x)-57)*(2*f(x)*x^3-2*f(x)*x+f(x)+4*x-3) ogf] A073351 5.46627 [-x*(13*x^4+159*x^3+287*x^2+97*x+4)/(x-1)^7 ogf] A073351 8.83285 [-(125+1156*x+688*x^3+1912*x^2+39*x^4)/(x-1)/(13*x^4+159*x^3+287*x^2+97*x+4) lgdogf] A073352 4.1692 [(104406*f(x)-13367)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+4*x^2-f(x)-13*x+1) ogf] A073352 4.45923 [{-a(n+3)+17*a(n+2)-17*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=55} ogf] A073352 7.71505 [-2*(2-13*x-13*x^3+78*x^2+2*x^4)/(x-1)/(4*x^2-13*x+1)/(x^2-16*x+1) lgdogf] A073352 8.01267 [-(4*x^2-13*x+1)/(x-1)/(x^2-16*x+1) ogf] A073357 4.38056 [{-a(n+3)+4*a(n+2)-4*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A073357 5.7205 [2*f(x)*x^3-4*f(x)*x^2+4*f(x)*x-x^2-f(x)+x ogf] A073357 8.53056 [x*(x-1)/(2*x^3-4*x^2+4*x-1) ogf] A073357 9.93141 [-(2*x-3)*(2*x^2-2*x+1)/(x-1)/(2*x^3-4*x^2+4*x-1) lgdogf] A073358 12.9172 [x*(x-1)/(2*x^3-2*x+1) ogf] A073358 16.7156 [-(2*x-1)*(2*x^2-2*x-1)/(x-1)/(2*x^3-2*x+1) lgdogf] A073358 6.80582 [{a(n+3)-2*a(n+2)+2*a(n),a(0)=0,a(1)=-1,a(2)=-1} ogf] A073358 7.11169 [(f(x)-1)*(2*f(x)*x^3-2*f(x)*x-x^2+f(x)+x) ogf] A073371 14.0907 [1/(x+1)^2/(2*x-1)^2 ogf] A073371 28.2016 [-2*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073371 4.57248 [{(n+3)*a(n+3)+(-4-n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A073371 5.80204 [(41*f(x)+20)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A073372 11.2696 [-1/(x+1)^3/(2*x-1)^3 ogf] A073372 30.8942 [-3*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073372 4.96754 [{(n+3)*a(n+3)+(-5-n)*a(n+2)+(-14-2*n)*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A073373 23.3369 [-4*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073373 3.76948 [{(n+3)*a(n+3)+(-6-n)*a(n+2)+(-18-2*n)*a(n+1),a(0)=1,a(1)=4,a(2)=18} ogf] A073373 7.07359 [1/(x+1)^4/(2*x-1)^4 ogf] A073374 22.9084 [-5*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073374 3.70076 [{(n+3)*a(n+3)+(-7-n)*a(n+2)+(-22-2*n)*a(n+1),a(0)=1,a(1)=5,a(2)=25} ogf] A073374 6.54087 [-1/(x+1)^5/(2*x-1)^5 ogf] A073375 22.2097 [-6*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073375 3.58931 [{(n+3)*a(n+3)+(-8-n)*a(n+2)+(-26-2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=33} ogf] A073376 21.1221 [-7*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073376 3.41641 [{(n+3)*a(n+3)+(-9-n)*a(n+2)+(-30-2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=42} ogf] A073377 22.0237 [-8*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073377 3.53550 [{(n+3)*a(n+3)+(-10-n)*a(n+2)+(-34-2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=52} ogf] A073378 22.7964 [-9*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073378 3.65672 [{(n+3)*a(n+3)+(-11-n)*a(n+2)+(-38-2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=63} ogf] A073379 22.5028 [-10*(1+4*x)/(x+1)/(2*x-1) lgdogf] A073379 3.73333 [{(n+3)*a(n+3)+(-12-n)*a(n+2)+(-42-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=75} ogf] A073380 25.8102 [-8*(x+1)/(x^2-1+2*x) lgdogf] A073380 3.47742 [{(n+3)*a(n+3)+(-12-2*n)*a(n+2)+(-9-n)*a(n+1),a(0)=1,a(1)=8,a(2)=44} ogf] A073380 6.29248 [1/(x^2+2*x-1)^4 ogf] A073381 26.2002 [-10*(x+1)/(x^2-1+2*x) lgdogf] A073381 3.65305 [{(n+3)*a(n+3)+(-14-2*n)*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=10,a(2)=65} ogf] A073381 5.25765 [-1/(x^2+2*x-1)^5 ogf] A073382 27.6722 [-12*(x+1)/(x^2-1+2*x) lgdogf] A073382 3.85377 [{(n+3)*a(n+3)+(-16-2*n)*a(n+2)+(-13-n)*a(n+1),a(0)=1,a(1)=12,a(2)=90} ogf] A073383 26.2409 [-14*(x+1)/(x^2-1+2*x) lgdogf] A073383 3.63378 [{(n+3)*a(n+3)+(-18-2*n)*a(n+2)+(-15-n)*a(n+1),a(0)=1,a(1)=14,a(2)=119} ogf] A073384 24.6791 [-16*(x+1)/(x^2-1+2*x) lgdogf] A073384 3.42093 [{(n+3)*a(n+3)+(-20-2*n)*a(n+2)+(-17-n)*a(n+1),a(0)=1,a(1)=16,a(2)=152} ogf] A073385 22.9947 [-18*(x+1)/(x^2-1+2*x) lgdogf] A073385 3.19139 [{(n+3)*a(n+3)+(-22-2*n)*a(n+2)+(-19-n)*a(n+1),a(0)=1,a(1)=18,a(2)=189} ogf] A073386 23.6957 [-20*(x+1)/(x^2-1+2*x) lgdogf] A073386 3.28637 [{(n+3)*a(n+3)+(-24-2*n)*a(n+2)+(-21-n)*a(n+1),a(0)=1,a(1)=20,a(2)=230} ogf] A073388 14.1521 [1/(2*x^2+2*x-1)^2 ogf] A073388 21.2952 [-4*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073388 3.44491 [{(n+3)*a(n+3)+(-8-2*n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=4,a(2)=16} ogf] A073388 5.23628 [(31*f(x)+5)*(4*f(x)*x^4+8*f(x)*x^3-4*f(x)*x+f(x)-1) ogf] A073389 11.5354 [-1/(2*x^2+2*x-1)^3 ogf] A073389 22.9936 [-6*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073389 5.12686 [{(n+3)*a(n+3)+(-10-2*n)*a(n+2)+(-14-2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=30} ogf] A073390 22.9252 [-8*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073390 3.67692 [{(n+3)*a(n+3)+(-12-2*n)*a(n+2)+(-18-2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=48} ogf] A073390 6.39283 [1/(2*x^2+2*x-1)^4 ogf] A073391 22.9973 [-10*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073391 3.81362 [{(n+3)*a(n+3)+(-14-2*n)*a(n+2)+(-22-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=70} ogf] A073391 6.52553 [-1/(2*x^2+2*x-1)^5 ogf] A073392 21.7988 [-12*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073392 3.61784 [{(n+3)*a(n+3)+(-16-2*n)*a(n+2)+(-26-2*n)*a(n+1),a(0)=1,a(1)=12,a(2)=96} ogf] A073393 20.6106 [-14*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073393 3.40160 [{(n+3)*a(n+3)+(-18-2*n)*a(n+2)+(-30-2*n)*a(n+1),a(0)=1,a(1)=14,a(2)=126} ogf] A073394 19.3155 [-16*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073394 3.19139 [{(n+3)*a(n+3)+(-20-2*n)*a(n+2)+(-34-2*n)*a(n+1),a(0)=1,a(1)=16,a(2)=160} ogf] A073397 20.0222 [-18*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073397 3.30537 [{(n+3)*a(n+3)+(-22-2*n)*a(n+2)+(-38-2*n)*a(n+1),a(0)=1,a(1)=18,a(2)=198} ogf] A073398 20.6111 [-20*(2*x+1)/(2*x^2-1+2*x) lgdogf] A073398 3.40035 [{(n+3)*a(n+3)+(-24-2*n)*a(n+2)+(-42-2*n)*a(n+1),a(0)=1,a(1)=20,a(2)=240} ogf] A073446 5.72369 [-(x^5-4*x^4-15*x^3-16*x^2-5*x+6)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) ogf] A073478 14.8167 [(1+ln(x+1)*x+ln(x+1)-x)/(x+1)/(x-1)^2 lgdegf] A073479 8.10609 [-n^2*a(n)+(9*n+5+4*n^2)*a(n+1)+(-9*n-6-3*n^2)*a(n+2),a(0)=1,a(1)=3 lgdegf] A073496 13.9701 [-(3*x^2+2*x+3)/(x^3-3*x^2-x-1) ogf] A073496 15.7107 [-(x-1)*(3*x^3+7*x^2+13*x+1)/(3*x^2+2*x+3)/(x^3-3*x^2-x-1) lgdogf] A073496 7.41023 [(385*f(x)-597)*(f(x)*x^3-3*f(x)*x^2-f(x)*x+3*x^2-f(x)+2*x+3) ogf] A073496 7.60872 [{-a(n+3)-a(n+2)-3*a(n+1)+a(n),a(0)=3,a(1)=-1,a(2)=-5} ogf] A073498 12.5874 [-2*(2-12*x-16*x^3+21*x^2+6*x^4)/(6*x^2-8*x+3)/(2*x^3-6*x^2+4*x-1) lgdogf] A073498 12.6677 [-(6*x^2-8*x+3)/(2*x^3-6*x^2+4*x-1) ogf] A073498 6.66145 [-(11*f(x)+9)*(2*f(x)*x^3-6*f(x)*x^2+4*f(x)*x+6*x^2-f(x)-8*x+3) ogf] A073498 6.89937 [{a(n+3)-4*a(n+2)+6*a(n+1)-2*a(n),a(0)=3,a(1)=4,a(2)=4} ogf] A073525 5.8784 [9*x^3*f(x)^2-14*f(x)^2*x^2+7*f(x)^2*x+12*f(x)*x^2-f(x)^2-11*f(x)*x+2*f(x)+4*x-1 ogf] A073531 23.0846 [9/(x+1) lgdegf] A073548 13.0558 [-10*f(x)*x^2+11*f(x)*x+10*x^2-f(x)-5*x+1 ogf] A073548 17.2523 [(10*x^2-5*x+1)/(10*x-1)/(x-1) ogf] A073548 21.6685 [-6*(-1+10*x^2)/(x-1)/(10*x-1)/(10*x^2-5*x+1) lgdogf] A073548 9.20121 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=1,a(1)=6,a(2)=66} ogf] A073549 11.6018 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=6} ogf] A073549 15.7861 [-10*f(x)*x^2+11*f(x)*x-f(x)+6*x ogf] A073549 19.8628 [-1/20*(-6-11*x+(12+44*x+27*x^2)^(1/2)*3^(1/2))/x revogf] A073549 24.6910 [6*x/(10*x-1)/(x-1) ogf] A073549 36.6698 [-(-11+20*x)/(x-1)/(10*x-1) lgdogf] A073550 11.3206 [2*(7-20*x+40*x^2)/(x-1)/(10*x-1)/(10*x^2-19*x+3) lgdogf] A073550 5.18646 [{a(n+3)-11*a(n+2)+10*a(n+1),a(0)=3,a(1)=14,a(2)=134} ogf] A073550 5.38788 [-(57*f(x)-73)*(10*f(x)*x^2-11*f(x)*x-10*x^2+f(x)+19*x-3) ogf] A073550 9.73598 [(10*x^2-19*x+3)/(10*x-1)/(x-1) ogf] A073551 12.6256 [-10*f(x)*x^2+11*f(x)*x+20*x^2-f(x)-10*x+2 ogf] A073551 16.6126 [2*(10*x^2-5*x+1)/(10*x-1)/(x-1) ogf] A073551 21.2358 [-6*(-1+10*x^2)/(x-1)/(10*x-1)/(10*x^2-5*x+1) lgdogf] A073551 8.84970 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=2,a(1)=12,a(2)=132} ogf] A073552 11.4543 [-x*(4*x-1)/(10*x-1)/(x-1) ogf] A073552 13.3763 [-1/4*(-1-11*x+(1+6*x+81*x^2)^(1/2))/(2+5*x) revogf] A073552 14.3795 [-(7-20*x+40*x^2)/(x-1)/(-1+4*x)/(10*x-1) lgdogf] A073552 5.67152 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=0,a(1)=1,a(2)=7} ogf] A073552 7.03817 [f(x)*(10*f(x)*x^2-11*f(x)*x+4*x^2+f(x)-x) ogf] A073553 10.1819 [-(57*f(x)-16)*(10*f(x)*x^2-11*f(x)*x+f(x)+8*x-2) ogf] A073553 11.1402 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=2,a(1)=14} ogf] A073553 20.1472 [-2*(4*x-1)/(10*x-1)/(x-1) ogf] A073553 21.2358 [-1/4*(-2-11*x+(4+12*x+81*x^2)^(1/2))/(4+5*x) revogf] A073553 23.3594 [-(7-20*x+40*x^2)/(x-1)/(-1+4*x)/(10*x-1) lgdogf] A073554 10.6043 [-f(x)*(10*f(x)*x^2-11*f(x)*x+20*x^2+f(x)-14*x) ogf] A073554 17.8072 [-2*x*(10*x-7)/(10*x-1)/(x-1) ogf] A073554 19.8803 [-1/20*(-14-11*x+(196+228*x+81*x^2)^(1/2))/(x+2) revogf] A073554 21.7297 [-(67-140*x+100*x^2)/(x-1)/(10*x-7)/(10*x-1) lgdogf] A073554 8.90360 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=0,a(1)=14,a(2)=134} ogf] A073555 17.2523 [-(2*x+1)*(5*x-1)/(10*x-1)/(x-1) ogf] A073555 19.4574 [-4*(2-10*x+35*x^2)/(x-1)/(2*x+1)/(5*x-1)/(10*x-1) lgdogf] A073555 9.20121 [{a(n+3)-11*a(n+2)+10*a(n+1),a(0)=1,a(1)=8,a(2)=68} ogf] A073555 9.2897 [-(-121+249*f(x))*(10*f(x)*x^2-11*f(x)*x+10*x^2+f(x)+3*x-1) ogf] A073556 11.1033 [f(x)*(10*f(x)*x^2-11*f(x)*x+10*x^2+f(x)-13*x) ogf] A073556 17.8072 [-x*(10*x-13)/(10*x-1)/(x-1) ogf] A073556 19.8803 [-1/20*(-13-11*x+(169+246*x+81*x^2)^(1/2))/(1+x) revogf] A073556 21.2358 [-(10*x-7)*(10*x-19)/(x-1)/(10*x-13)/(10*x-1) lgdogf] A073556 8.90360 [{a(n+3)-11*a(n+2)+10*a(n+1),a(0)=0,a(1)=13,a(2)=133} ogf] A073577 13.3689 [(x^2-2*x-7)/(x-1)^3 ogf] A073577 25.0058 [-(-23-2*x+x^2)/(x-1)/(x^2-2*x-7) lgdogf] A073577 7.03018 [(170*f(x)-1631)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+2*x+7) ogf] A073577 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=23,a(2)=47} ogf] A073583 7.58559 [-(3*x^10+5*x^9-2*x^8-3*x^7+4*x^6-3*x^5+5*x^4-x^3-x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A073591 17.0493 [(x-2)*(x^2-2*x+3)/(x-1)/(x^2-3*x+3) lgdegf] A073592 30.1237 [1/(-x^2+2*x-1) ogf_with_Euler_transform] A073636 10.4009 [{-a(n+3)+a(n),a(0)=1,a(1)=8,a(2)=9} ogf] A073636 13.7965 [-(x+2)*(9*x^3-2*x^2+7*x+4)/(x-1)/(x^2+x+1)/(9*x^2+8*x+1) lgdogf] A073636 16.1320 [-(9*x^2+8*x+1)/(x-1)/(x^2+x+1) ogf] A073636 9.08581 [-(7341*f(x)+104860)*(f(x)*x^3+9*x^2-f(x)+8*x+1) ogf] A073663 4.39518 [4*x^3*f(x)^2-f(x)^2*x^2+4*f(x)*x^3+x^4-9*f(x)*x^2-4*x^3+6*f(x)*x+6*x^2-f(x)-4*x+1 ogf] A073701 3.20057 [{(n^2+4*n+4)*a(n+1)+(n^2+6*n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A073702 5.74455 [-(1+2*x+x^10+14*x^9-140*x^7+10*x^6+73*x^8+92*x^3+77*x^2+126*x^4)/(x^3+x^2+x-1)/(x^3-3*x^2-x-1)/(x^5+7*x^4+28*x^3-10*x^2-x-9) lgdogf] A073702 6.78907 [-(x^5+7*x^4+28*x^3-10*x^2-x-9)/(x^3+x^2+x-1)/(x^3-3*x^2-x-1) ogf] A073710 16.5899 [32*x^15+16*x^7+8*x^3+4*x+2 ogf_with_Euler_transform] A073717 11.5462 [-x*(x+1)/(x^3+x^2+3*x-1) ogf] A073717 17.0622 [-2*(x+2)*(1+x^2)/(x+1)/(x^3+x^2+3*x-1) lgdogf] A073717 5.92915 [-(4*f(x)+1)*(f(x)*x^3+f(x)*x^2+3*f(x)*x+x^2-f(x)+x) ogf] A073717 5.92915 [{-a(n+3)+3*a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A073720 10.8569 [-(3*x^2-5*x-1)/(5*x-1)/(x-1) ogf] A073720 12.8008 [(-11+16*x+7*x^2)/(x-1)/(5*x-1)/(3*x^2-5*x-1) lgdogf] A073720 5.53283 [{-a(n+3)+6*a(n+2)-5*a(n+1),a(0)=1,a(1)=11,a(2)=58} ogf] A073720 6.057 [(50*f(x)+71)*(5*f(x)*x^2-6*f(x)*x+3*x^2+f(x)-5*x-1) ogf] A073724 11.8727 [(3*x-1)/(4*x-1)/(x-1)^2 ogf] A073724 15.8088 [-3*(1-5*x+8*x^2)/(x-1)/(3*x-1)/(-1+4*x) lgdogf] A073724 5.61834 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A073724 6.05053 [(19*f(x)+8)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-3*x+1) ogf] A073728 13.3923 [-(x+3)/(x^3+x^2+x-1) ogf] A073728 17.3951 [-2*(2+3*x+x^3+5*x^2)/(x+3)/(x^3+x^2+x-1) lgdogf] A073728 6.33743 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=7} ogf] A073728 6.63356 [(220*f(x)-233)*(f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+x+3) ogf] A073729 14.3413 [(90*x^10-100*x^9+11)/(x-1)^2 ogf] A073729 14.7835 [2*(-11+360*x^10-800*x^9+450*x^8)/(x-1)/(90*x^10-100*x^9+11) lgdogf] A073748 6.02359 [-(3-6*x+x^10-10*x^9-12*x^7-16*x^5-90*x^6-73*x^8+44*x^3+33*x^2-98*x^4)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1)/(x^5-5*x^4-24*x^3-6*x^2-9*x+3) lgdogf] A073748 7.77514 [-(x^5-5*x^4-24*x^3-6*x^2-9*x+3)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A073760 10.0346 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=10} ogf] A073760 18.5082 [-2*(x-3)/(x-1)^2 ogf] A073760 30.2480 [-(-3-x+(9+4*x)^(1/2))/(x+2) revogf] A073760 42.9840 [-(-5+x)/(x-1)/(x-3) lgdogf] A073760 9.68452 [(2*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)+2*x-6) ogf] A073762 12.8238 [-f(x)*x^2+2*f(x)*x-f(x)+12*x+12 ogf] A073762 17.7351 [12*(x+1)/(x-1)^2 ogf] A073762 26.3813 [-(-6-x+2*(9+6*x)^(1/2))/(-12+x) revogf] A073762 39.4928 [[3-x] ogf_with_Euler_transform] A073762 45.4345 [-(x+3)/(x-1)/(x+1) lgdogf] A073762 9.92319 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=36} ogf] A073763 12.8233 [24*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A073763 20.1302 [-(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A073763 32.6493 [-x^2+x+2 ogf_with_Euler_transform] A073763 7.01448 [(5*f(x)+1032)*(f(x)*x^3-f(x)*x^2-f(x)*x-24*x^2+f(x)-24*x-24) ogf] A073763 7.13647 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=24,a(1)=48,a(2)=96} ogf] A073769 3.33128 [f(x)*x^4-2*f(x)*x+f(x)-x ogf] A073769 5.69315 [-2*(-1+2*x^3)/(x-1)/(x^3+x^2+x-1) lgdogf] A073769 5.95591 [x/(x-1)/(x^3+x^2+x-1) ogf] A073773 15.8483 [-4*(-5+2*x+4*x^2)/(2*x+1)/(2*x-1)/(4*x-3) lgdogf] A073773 9.19875 [2*x^3*(2*x+1)*(4*x-3)/(2*x-1)^3 ogf] A073774 10.6317 [-(17+18*x+96*x^3-120*x^2)/(2*x-1)/(32*x^4-16*x^3-18*x^2+9*x+1) lgdogf] A073774 6.55905 [4*x^3*(32*x^4-16*x^3-18*x^2+9*x+1)/(2*x-1)^4 ogf] A073775 12.3565 [(12*x^3-33*x^2+25*x-2)/(x-1)^4 ogf] A073775 18.7855 [-(17+9*x+12*x^3-30*x^2)/(x-1)/(12*x^3-33*x^2+25*x-2) lgdogf] A073775 5.01788 [{(-261*n^2-3777*n-6510)*a(n+1)+(82*n^2+1766*n+1470)*a(n+2)+(179*n^2+691*n+462)*a(n+3),a(0)=-2,a(1)=17,a(2)=47} ogf] A073775 6.63438 [(33952*f(x)-637823)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-12*x^3-4*f(x)*x+33*x^2+f(x)-25*x+2) ogf] A073778 12.1399 [x^2/(x^3+x^2+x-1)^2 ogf] A073778 24.4494 [-2*(1+2*x+3*x^2)/(x^2-1+x+x^3) lgdogf] A073778 3.81720 [{(n+5)*a(n+1)+(n+4)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A073782 12.4497 [-2*(-1-4*x+4*x^3-8*x^2+x^4)/(x-1)/(x+3)/(x^2-1+x+x^3) lgdogf] A073782 7.16423 [(x+3)^2*(x-1)^2/(x^3+x^2+x-1)^2 ogf] A073788 7.57750 [-x*(170*x^13-154*x^6-x^5-x^4-x^3-x^2-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A073789 6.99585 [-x*(180*x^15-163*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A073790 6.59270 [-x*(190*x^17-172*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A073795 6.94455 [-x*(15*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A073796 6.23270 [-x*(17*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A073817 6.53143 [-f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)+3*x-4 ogf] A073817 9.75474 [(x^3+2*x^2+3*x-4)/(x^4+x^3+x^2+x-1) ogf] A073817 9.82679 [-(-1-4*x+4*x^5+x^6-12*x^3-8*x^2+10*x^4)/(x^3+2*x^2+3*x-4)/(x^4+x^3+x^2+x-1) lgdogf] A073835 5.45923 [-x*(19*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A073845 12.8809 [(2*x^2-2*x-1)/(2*x+1)/(x^2+x-1) ogf] A073845 13.8659 [-(-1-2*x-8*x^3-10*x^2+4*x^4)/(2*x+1)/(2*x^2-2*x-1)/(x^2+x-1) lgdogf] A073845 6.60279 [-(127*f(x)-232)*(2*f(x)*x^3+3*f(x)*x^2-f(x)*x-2*x^2-f(x)+2*x+1) ogf] A073845 7.07867 [{-a(n+3)-a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A073856 10.7811 [-(2*f(x)*x-f(x)+2*x+1)^3 ogf] A073937 11.2338 [(x^3-2*x^2+3*x-4)/(x^4+x^3-x^2+x-1) ogf] A073937 11.4285 [-(-1+4*x-4*x^5+x^6-12*x^3-10*x^2+8*x^4)/(x^3-2*x^2+3*x-4)/(x^4+x^3-x^2+x-1) lgdogf] A073937 6.04896 [(1689*f(x)-5048)*(f(x)*x^4+f(x)*x^3-f(x)*x^2-x^3+f(x)*x+2*x^2-f(x)-3*x+4) ogf] A073947 7.64377 [-(21*x^4-21*x^3+12*x^2-5*x+1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) ogf] A073948 5.84709 [-27*f(x)*x^5+36*f(x)*x^4-27*f(x)*x^3+6*x^4+15*f(x)*x^2-6*x^3-6*f(x)*x+f(x) ogf] A073948 9.31204 [6*x^3*(x-1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) ogf] A073948 9.50516 [-(-5+30*x+108*x^5+198*x^3-96*x^2-243*x^4)/(x-1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) lgdogf] A073949 8.21911 [2*x*(3*x^3-3*x^2+3*x-1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) ogf] A073950 7.88018 [-(x-1)*(3*x^3-3*x^2+3*x-1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) ogf] A073951 8.18290 [-x*(3*x^3+3*x^2-3*x+1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) ogf] A073952 8.55067 [-3*x^2*(x-1)^2/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) ogf] A073952 9.67019 [-(-4+24*x+81*x^5+171*x^3-81*x^2-207*x^4)/(x-1)/(3*x-1)/(3*x^2+1)/(3*x^2-3*x+1) lgdogf] A073963 5.62103 [-(525*x^6-525*x^5+190*x^4-26*x^2+9*x-1)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073964 5.43478 [2*x*(50*x^5-50*x^4+5*x^3+15*x^2-7*x+1)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073965 5.61489 [2*x^2*(50*x^4-50*x^3+30*x^2-15*x+3)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073966 5.38013 [-(25*x^6-50*x^5+15*x^4+20*x^3-21*x^2+8*x-1)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073967 5.70061 [-x^2*(25*x^4+75*x^3-85*x^2+35*x-6)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073968 5.70061 [-x^2*(25*x^4-50*x^3+40*x^2-10*x-1)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073969 5.51470 [-x*(25*x^5-50*x^4+65*x^3-40*x^2+14*x-2)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073970 5.59701 [-x*(25*x^5-50*x^4+15*x^3-5*x^2+4*x-1)/(5*x-1)/(5*x^2-1)/(25*x^4-25*x^3+15*x^2-5*x+1) ogf] A073995 11.3749 [-(26*x^3-13*x^2+5*x-1)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073995 6.13645 [-(3560*f(x)+4503)*(32*f(x)*x^4-24*f(x)*x^3+12*f(x)*x^2+26*x^3-6*f(x)*x-13*x^2+f(x)+5*x-1) ogf] A073996 12.2286 [x*(6*x^2-3*x+1)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073996 6.54488 [-(56*f(x)+17)*(32*f(x)*x^4-24*f(x)*x^3+12*f(x)*x^2-6*x^3-6*f(x)*x+3*x^2+f(x)-x) ogf] A073997 11.6593 [-(2*x^3-3*x^2+4*x-1)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073997 6.26001 [(129320*f(x)-45667)*(32*f(x)*x^4-24*f(x)*x^3+12*f(x)*x^2+2*x^3-6*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A073998 12.2286 [-x*(2*x^2+5*x-2)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073998 6.5913 [(4840*f(x)+777)*(32*f(x)*x^4-24*f(x)*x^3+12*f(x)*x^2+2*x^3-6*f(x)*x+5*x^2+f(x)-2*x) ogf] A073999 12.8612 [-x^2*(2*x-3)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A073999 6.71019 [(4200*f(x)+4061)*(32*f(x)*x^4-24*f(x)*x^3+12*f(x)*x^2+2*x^3-6*f(x)*x-3*x^2+f(x)) ogf] A074048 7.65826 [-(-1-4*x+20*x^5+10*x^6+4*x^7+x^8-12*x^3-8*x^2-15*x^4)/(x^5+x^4+x^3+x^2+x-1)/(x^4+2*x^3+3*x^2+4*x-5) lgdogf] A074048 8.30401 [(x^4+2*x^3+3*x^2+4*x-5)/(x^5+x^4+x^3+x^2+x-1) ogf] A074051 21.0221 [-a(n)+(-1-n)*a(n+1),a(0)=-1,a(1)=-1 lgdegf] A074058 11.2338 [-(x^3+2*x^2+3*x+4)/(x^4-x^3-x^2-x-1) ogf] A074058 12.7391 [-(-1-4*x+4*x^5+x^6+12*x^3-10*x^2+8*x^4)/(x^3+2*x^2+3*x+4)/(x^4-x^3-x^2-x-1) lgdogf] A074058 5.88436 [-(1689*f(x)-5048)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3-f(x)*x+2*x^2-f(x)+3*x+4) ogf] A074059 21.9495 [-ln(x+1)*x-ln(x+1)+2*x revegf] A074061 5.68738 [-(36432*f(x)-18383)*(f(x)*x^4-10*f(x)*x^2+x^3+4*x^2+f(x)-4*x-1) ogf] A074061 8.94830 [-(4+12*x+8*x^5+x^6-4*x^3+37*x^2-2*x^4)/(x-1)/(x^2+5*x+1)/(x^4-10*x^2+1) lgdogf] A074061 9.82367 [-(x-1)*(x^2+5*x+1)/(x^4-10*x^2+1) ogf] A074062 5.27087 [-(x^4+2*x^3+3*x^2+4*x+5)/(x^5-x^4-x^3-x^2-x-1) ogf] A074062 5.62662 [-(-1-4*x+12*x^5+8*x^6+4*x^7+x^8-20*x^3-10*x^2+15*x^4)/(x^4+2*x^3+3*x^2+4*x+5)/(x^5-x^4-x^3-x^2-x-1) lgdogf] A074066 11.0527 [(2*x^4-2*x^3-x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A074066 14.3814 [2*(-2-x-7*x^3+x^4)/(x-1)/(x^2+x+1)/(2*x^4-2*x^3-x^2+3*x+1) lgdogf] A074066 6.39891 [-(27*f(x)+70)*(f(x)*x^4-f(x)*x^3-2*x^4+2*x^3-f(x)*x+x^2+f(x)-3*x-1) ogf] A074067 7.00941 [2*(-1-6*x+3*x^5-21*x^6+2*x^11-2*x^10+2*x^7+x^8-x^3-2*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(4*x^7-2*x^6-2*x^5-x^4-x^3+5*x^2+x+1) lgdogf] A074067 8.42630 [(4*x^7-2*x^6-2*x^5-x^4-x^3+5*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A074068 6.75441 [(6*x^10-2*x^9-2*x^8-2*x^7-x^6-x^5-x^4+7*x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A074081 10.3428 [-(x^3-2*x^2+3*x+4)/(x^4-x^3+x^2-x-1) ogf] A074081 11.2349 [-(-1+4*x-4*x^5+x^6+12*x^3-8*x^2+10*x^4)/(x^3-2*x^2+3*x+4)/(x^4-x^3+x^2-x-1) lgdogf] A074081 6.9252 [f(x)*x^4-f(x)*x^3+f(x)*x^2+x^3-f(x)*x-2*x^2-f(x)+3*x+4 ogf] A074082 13.2757 [-(-6-8*x+8*x^3+5*x^2+3*x^4)/(x^2+x-1)/(x^3+2*x^2-2) lgdogf] A074082 8.79300 [x^4*(x^3+2*x^2-2)/(x^2+x-1)^3 ogf] A074083 5.28954 [x^5*(x+1)*(2*x^4+4*x^3-3*x^2-6*x+4)/(x^2+x-1)^4 ogf] A074083 8.38029 [-(14+8*x+22*x^5+6*x^6-29*x^3-29*x^2+15*x^4)/(x+1)/(x^2+x-1)/(2*x^4+4*x^3-3*x^2-6*x+4) lgdogf] A074084 19.0844 [-(9+10*x+3*x^2)/(x+2)/(x^2+2*x-1) lgdogf] A074084 5.06495 [-f(x)*(f(x)*x^4+4*f(x)*x^3-x^4+2*f(x)*x^2-2*x^3-4*f(x)*x+f(x)) ogf] A074084 9.17562 [x^3*(x+2)/(x^2+2*x-1)^2 ogf] A074085 10.0487 [-2*(-12+5*x+16*x^3+26*x^2+3*x^4)/(x^2+2*x-1)/(2*x^3+8*x^2+6*x-5) lgdogf] A074085 6.36748 [x^4*(2*x^3+8*x^2+6*x-5)/(x^2+2*x-1)^3 ogf] A074086 4.63199 [x^5*(x+2)*(5*x^4+20*x^3+9*x^2-24*x+7)/(x^2+2*x-1)^4 ogf] A074086 6.83795 [-(71-146*x+110*x^5+15*x^6+182*x^3-164*x^2+270*x^4)/(x+2)/(x^2+2*x-1)/(5*x^4+20*x^3+9*x^2-24*x+7) lgdogf] A074087 15.4341 [-(11+30*x+27*x^2)/(3*x+2)/(3*x-1)/(x+1) lgdogf] A074087 3.45799 [{(9*n^2-21*n)*a(n)+(6*n^2-20*n-6)*a(n+1)+(-3*n^2+13*n-10)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A074087 4.80277 [-f(x)*(9*f(x)*x^4+12*f(x)*x^3-9*x^4-2*f(x)*x^2-6*x^3-4*f(x)*x+f(x)) ogf] A074087 8.64499 [3*x^3*(3*x+2)/(x+1)^2/(3*x-1)^2 ogf] A074088 5.77593 [3*x^4*(18*x^3+24*x^2+2*x-7)/(x+1)^3/(3*x-1)^3 ogf] A074088 8.70458 [-2*(-20-35*x+144*x^3+66*x^2+81*x^4)/(3*x-1)/(x+1)/(18*x^3+24*x^2+2*x-7) lgdogf] A074089 3.98233 [3*x^5*(3*x+2)*(63*x^4+84*x^3-23*x^2-40*x+13)/(x+1)^4/(3*x-1)^4 ogf] A074089 5.72902 [-(167+46*x+4158*x^5+1701*x^6-1278*x^3-1228*x^2+2430*x^4)/(3*x+2)/(3*x-1)/(x+1)/(63*x^4+84*x^3-23*x^2-40*x+13) lgdogf] A074092 10.3738 [2*(1-32*x^3+20*x^2+16*x^4)/(2*x-1)/(16*x^4-8*x^3-8*x^2+4*x-1) lgdogf] A074092 4.36476 [{-a(n+5)+6*a(n+4)-12*a(n+3)+8*a(n+2),a(0)=1,a(1)=2,a(2)=8,a(3)=40,a(4)=144} ogf] A074092 4.74988 [-(29*f(x)-294)*(8*f(x)*x^3-16*x^4-12*f(x)*x^2+8*x^3+6*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A074092 8.17703 [(16*x^4-8*x^3-8*x^2+4*x-1)/(2*x-1)^3 ogf] A074110 6.09836 [-(10*x^7-11*x^6+x^5+10*x^3-x^2-20*x-7)/(10*x-1)/(x-1) ogf] A074113 11.7565 [-8*(1+16*x+2048*x^3+384*x^2+8192*x^4)/(1024*x^3-1)/(64*x^2+8*x+1) lgdogf] A074113 5.0559 [-(f(x)-8)*(1024*f(x)*x^3+512*x^2-f(x)+64*x+8) ogf] A074113 5.24087 [{a(n+3)-1024*a(n),a(0)=8,a(1)=64,a(2)=512} ogf] A074113 7.81365 [-8*(64*x^2+8*x+1)/(1024*x^3-1) ogf] A074116 10.5542 [-8*(1+16*x+2048*x^3+384*x^2+8192*x^4)/(1024*x^3-1)/(64*x^2+8*x+1) lgdogf] A074116 14.1155 [-8*(64*x^2+8*x+1)/(1024*x^3-1) ogf] A074116 9.13357 [-(f(x)-8)*(1024*f(x)*x^3+512*x^2-f(x)+64*x+8) ogf] A074116 9.46772 [{a(n+3)-1024*a(n),a(0)=8,a(1)=64,a(2)=512} ogf] A074117 13.9601 [(9*f(x)*x-f(x)+18*x+1)^2 ogf] A074117 3.16704 [3*(9*x+1)*(9*x-1)*(86093442*x^8+9565938*x^7+1062882*x^6+118098*x^5+13122*x^4+1458*x^3+162*x^2+9*x+1)/(774840978*x^9+6561*x^4-1) ogf] A074118 12.6938 [(9*f(x)*x-f(x)+1)^2 ogf] A074118 3.42049 [(9*x+1)*(774840978*x^9-531441*x^6-6561*x^4-81*x^2-1)/(774840978*x^9+43046721*x^8-1) ogf] A074143 16.9068 [2*(x+2)/(x-1)/(x^3-3*x^2+2*x-2) lgdegf] A074143 5.56925 [(472*f(x)-557)*(2*f(x)*x^3-6*f(x)*x^2-x^3+6*f(x)*x+3*x^2-2*f(x)-2*x+2) egf] A074143 7.76649 [1/2*(x^3-3*x^2+2*x-2)/(x-1)^3 egf] A074148 13.6031 [(x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A074148 18.0869 [-2*(-2-3*x+x^3-2*x^2)/(x-1)/(x+1)/(x^2-2*x-1) lgdogf] A074148 7.03213 [-(41*f(x)-156)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-x^2-f(x)+2*x+1) ogf] A074149 11.6094 [-2*(3+9*x+x^5+10*x^3+18*x^2+7*x^4)/(x-1)/(x+1)/(1+x^2)/(x^2+4*x+1) lgdogf] A074149 7.73439 [(x^2+1)*(x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A074150 3.37637 [-(2*x^3-x^2+1)/(x+1)/(x-1)^3 ogf] A074155 10.1245 [(28*x^4-84*x^3+84*x^2-33*x-1)/(x-1)^3 ogf] A074155 11.8335 [2*(18-51*x-56*x^3+84*x^2+14*x^4)/(x-1)/(28*x^4-84*x^3+84*x^2-33*x-1) lgdogf] A074155 5.54109 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=36,a(2)=21,a(3)=40,a(4)=65} ogf] A074155 5.65573 [(1928664*f(x)-122489395)*(f(x)*x^3-28*x^4-3*f(x)*x^2+84*x^3+3*f(x)*x-84*x^2-f(x)+33*x+1) ogf] A074166 7.01576 [(f(x)-1)*(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A074170 5.27546 [-(46*x^24-92*x^23+46*x^22+22*x^12-24*x^11-18*x^10+20*x^9+14*x^8-16*x^7-8*x^5+16*x^4-8*x^3+1)/(x-1)^3 ogf] A074171 11.2662 [(6*x^4-12*x^3+6*x^2-1)/(x-1)^3 ogf] A074171 14.4163 [3*(1-4*x-8*x^3+10*x^2+2*x^4)/(x-1)/(6*x^4-12*x^3+6*x^2-1) lgdogf] A074171 8.17351 [f(x)*x^3-6*x^4-3*f(x)*x^2+12*x^3+3*f(x)*x-6*x^2-f(x)+1 ogf] A074193 7.00192 [-(-1-8*x+x^10-8*x^9+24*x^7+36*x^5+11*x^6+20*x^8+24*x^3-20*x^2-11*x^4)/(x^5-4*x^4+6*x^3+8*x^2+5*x+6)/(x^6-x^5+2*x^4-2*x^3-2*x^2-x-1) lgdogf] A074193 7.80191 [-(x^5-4*x^4+6*x^3+8*x^2+5*x+6)/(x^6-x^5+2*x^4-2*x^3-2*x^2-x-1) ogf] A074227 2.05892 [(f(x)-2)*(f(x)*x^4-f(x)*x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A074227 3.74656 [(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A074227 5.13488 [-(3+2*x+2*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A074227 7.78076 [3-2*x+1/2*x^2 egf]_with_Euler_transform] A074229 10.7343 [(x^4+4*x^3+14*x^2+4*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A074229 8.92578 [-(5+33*x+x^7+47*x^5+9*x^6+31*x^3+31*x^2+35*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+4*x^3+14*x^2+4*x+1) lgdogf] A074231 12.6442 [(x+1)^2/(x^2+1)/(x-1)^2 ogf] A074231 22.5197 [-2*(2-x+2*x^2+x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A074231 29.9726 [[x^3-3*x+4] ogf_with_Euler_transform] A074231 4.45127 [{(-n-4)*a(n+1)+(n+3)*a(n+2)+(-n-4)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=4,a(2)=7,a(3)=8} ogf] A074231 6.46257 [-(11*f(x)+67)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-x^2+f(x)-2*x-1) ogf] A074232 21.6570 [x^6-x^5-x^2+x+2 ogf_with_Euler_transform] A074232 7.80223 [-(2+4*x+2*x^10+2*x^9+x^7+3*x^5+10*x^6+6*x^8+8*x^3+x^2+3*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A074232 9.57957 [(x^2-x+1)*(x^2+x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A074305 10.9590 [-(1+4*x+3*x^5+6*x^6+17*x^3+21*x^2+8*x^4)/(x-1)/(x^2+x+1)/(3*x^2+4*x+3)/(x^2-x+1) lgdogf] A074305 11.5526 [x*(3*x^2+4*x+3)*(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A074306 10.4149 [-(3+2*x+4*x^7+9*x^6+18*x^3+15*x^2+21*x^4)/(x-1)/(2*x+1)/(x+2)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A074306 10.5659 [x*(2*x+1)*(x+2)*(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A074323 13.8928 [-2*f(x)*x^2-x^2+f(x)-x-1 ogf] A074323 15.0270 [-(x^2+x+1)/(2*x^2-1) ogf] A074323 21.2168 [-(1+6*x+2*x^2)/(x^2+x+1)/(2*x^2-1) lgdogf] A074323 8.76573 [{-a(n+3)+2*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A074324 14.9923 [-(x^2+x+1)/(3*x^2-1) ogf] A074324 21.1849 [-(1+8*x+3*x^2)/(x^2+x+1)/(3*x^2-1) lgdogf] A074324 8.74550 [{-a(n+3)+3*a(n+1),a(0)=1,a(1)=1,a(2)=4} ogf] A074324 9.54054 [(76*f(x)-73)*(3*f(x)*x^2+x^2-f(x)+x+1) ogf] A074331 14.9216 [x/(x-1)/(x+1)/(x^2+x-1) ogf] A074331 16.7498 [-(-1-4*x+4*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A074331 6.24919 [(4*f(x)+3)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-x) ogf] A074334 5.63059 [4*(x-1)*(72*x^4-44*x^3+36*x^2+12*x+5)/(-1+4*x)/(144*x^5-128*x^4+32*x^3+2*x+1) lgdogf] A074337 10.3609 [-(-117851061187+98005495447*x)/(x-1)/(98005495447*x-107928278317) lgdogf] A074337 10.3791 [-(98005495447*x-107928278317)/(x-1)^2 ogf] A074337 4.9639 [(19845565740*f(x)+11746974880356977789389)*(f(x)*x^2-2*f(x)*x+f(x)+98005495447*x-107928278317) ogf] A074337 6.58671 [{-a(n+2)+2*a(n+1)-a(n),a(0)=107928278317,a(1)=117851061187} ogf] A074352 11.1483 [2*x^3*(2*x+1)/(x+1)^2/(2*x-1)^2 ogf] A074352 17.6218 [-2*(2+5*x+6*x^2)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A074352 4.49843 [{(4*n^2-6*n)*a(n)+(2*n^2-5*n-2)*a(n+1)+(-2*n^2+7*n-5)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A074352 6.35729 [f(x)*(4*f(x)*x^4+4*f(x)*x^3-4*x^4-3*f(x)*x^2-2*x^3-2*f(x)*x+f(x)) ogf] A074353 10.4693 [-2*(-5-15*x+16*x^3+3*x^2+12*x^4)/(2*x-1)/(x+1)/(4*x^3+4*x^2-x-3) lgdogf] A074353 7.43620 [2*x^4*(4*x^3+4*x^2-x-3)/(x+1)^3/(2*x-1)^3 ogf] A074354 4.52113 [2*x^5*(2*x+1)*(12*x^4+12*x^3-13*x^2-10*x+7)/(x+1)^4/(2*x-1)^4 ogf] A074354 6.43454 [-2*(16+29*x+132*x^5+72*x^6-133*x^3-26*x^2-10*x^4)/(2*x+1)/(2*x-1)/(x+1)/(12*x^4+12*x^3-13*x^2-10*x+7) lgdogf] A074355 18.8008 [-(5+15*x+27*x^2)/(1+3*x)/(3*x^2+x-1) lgdogf] A074355 3.93176 [{(9*n^2-12*n)*a(n)+(3*n^2-7*n-3)*a(n+1)+(-3*n^2+10*n-7)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A074355 5.62144 [f(x)*(9*f(x)*x^4+6*f(x)*x^3-9*x^4-5*f(x)*x^2-3*x^3-2*f(x)*x+f(x)) ogf] A074355 9.85790 [3*x^3*(3*x+1)/(3*x^2+x-1)^2 ogf] A074356 10.2017 [-(-14-64*x+72*x^3+3*x^2+81*x^4)/(3*x-2)/(3*x^2+x-1)/(3*x^2+4*x+2) lgdogf] A074356 6.13989 [3*x^4*(3*x-2)*(3*x^2+4*x+2)/(3*x^2+x-1)^3 ogf] A074357 4.16891 [3*x^5*(3*x+1)*(36*x^4+24*x^3-29*x^2-14*x+10)/(3*x^2+x-1)^4 ogf] A074357 6.26536 [-(56+146*x+1188*x^5+972*x^6-909*x^3+5*x^2-405*x^4)/(1+3*x)/(3*x^2+x-1)/(36*x^4+24*x^3-29*x^2-14*x+10) lgdogf] A074358 10.6980 [4*x^3*(x+1)/(2*x^2+2*x-1)^2 ogf] A074358 18.5509 [-(5+10*x+6*x^2)/(x+1)/(2*x^2+2*x-1) lgdogf] A074358 6.09884 [-f(x)*(4*f(x)*x^4+8*f(x)*x^3-4*x^4-4*x^3-4*f(x)*x+f(x)) ogf] A074359 5.84631 [4*x^4*(4*x^3+8*x^2+2*x-3)/(2*x^2+2*x-1)^3 ogf] A074359 9.62393 [-4*(-4-3*x+16*x^3+12*x^2+6*x^4)/(2*x^2+2*x-1)/(4*x^3+8*x^2+2*x-3) lgdogf] A074360 4.14865 [8*x^5*(x+1)*(12*x^4+24*x^3-2*x^2-16*x+5)/(2*x^2+2*x-1)^4 ogf] A074360 6.44902 [-(29-22*x+264*x^5+72*x^6-28*x^3-160*x^2+280*x^4)/(x+1)/(2*x^2+2*x-1)/(12*x^4+24*x^3-2*x^2-16*x+5) lgdogf] A074361 17.7985 [-(19+15*x+3*x^2)/(x+3)/(x^2+3*x-1) lgdogf] A074361 4.86694 [-f(x)*(f(x)*x^4+6*f(x)*x^3-x^4+7*f(x)*x^2-3*x^3-6*f(x)*x+f(x)) ogf] A074361 8.81693 [x^3*(x+3)/(x^2+3*x-1)^2 ogf] A074362 5.80006 [x^4*(3*x^3+18*x^2+24*x-10)/(x^2+3*x-1)^3 ogf] A074362 9.04127 [-3*(-22+40*x+24*x^3+61*x^2+3*x^4)/(x^2+3*x-1)/(3*x^3+18*x^2+24*x-10) lgdogf] A074363 4.85435 [x^4*(x+3)*(10*x^4+60*x^3+69*x^2-66*x+12)/(x^2+3*x-1)^4 ogf] A074363 5.89328 [-(246-1104*x+330*x^5+30*x^6+1953*x^3+291*x^2+1295*x^4)/(x+3)/(x^2+3*x-1)/(10*x^4+60*x^3+69*x^2-66*x+12) lgdogf] A074377 17.3490 [-(7+13*x+3*x^3+25*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A074377 9.99738 [-x*(x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A074378 10.0457 [-x*(3*x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A074378 16.7076 [-(5+23*x+9*x^3+11*x^2)/(x-1)/(x+1)/(3*x^2+2*x+3) lgdogf] A074392 12.1943 [-(x-2)/(x-1)/(x+1)/(x^2+x-1) ogf] A074392 13.5075 [-(1+8*x-6*x^3-8*x^2+3*x^4)/(x-1)/(x-2)/(x+1)/(x^2+x-1) lgdogf] A074392 5.76627 [-(460*f(x)+551)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)+x-2) ogf] A074453 6.88853 [-(-1+8*x+x^10-36*x^5+11*x^6+8*x^9-24*x^7+20*x^8-24*x^3-20*x^2-11*x^4)/(x^5+4*x^4+6*x^3-8*x^2+5*x-6)/(x^6+x^5+2*x^4+2*x^3-2*x^2+x-1) lgdogf] A074453 7.80191 [(x^5+4*x^4+6*x^3-8*x^2+5*x-6)/(x^6+x^5+2*x^4+2*x^3-2*x^2+x-1) ogf] A074475 12.1458 [-(x+3)/(x+1)/(x^3+x^2+x-1) ogf] A074475 12.3331 [-(1+12*x+16*x^3+20*x^2+3*x^4)/(x+3)/(x+1)/(x^3+x^2+x-1) lgdogf] A074475 6.35145 [(3146*f(x)-2905)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2-f(x)+x+3) ogf] A074494 10.0043 [(6*x^3-8*x^2+5*x-2)/(x-1)/(2*x-1)^2 ogf] A074494 12.5338 [-(5-6*x+8*x^3-6*x^2)/(x-1)/(2*x-1)/(6*x^3-8*x^2+5*x-2) lgdogf] A074494 5.15146 [{-a(n+4)+5*a(n+3)-8*a(n+2)+4*a(n+1),a(0)=2,a(1)=5,a(2)=17,a(3)=47} ogf] A074494 5.47854 [-(31*f(x)-404)*(4*f(x)*x^3-8*f(x)*x^2-6*x^3+5*f(x)*x+8*x^2-f(x)-5*x+2) ogf] A074499 6.89127 [(-29*x^15-43*x^22-15*x^8+2*x^3+21*x^23+7*x^9+14*x^16-6*x^2+8*x^7+15*x^14+22*x^21+6)/(x-1)/(x^23-x^22+x^16-x^15+x^9-x^8+2*x^3-3) lgdogf] A074499 8.83351 [-(x^23-x^22+x^16-x^15+x^9-x^8+2*x^3-3)/(x-1)^2 ogf] A074501 5.07446 [(414*f(x)+7831)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x+17*x^2-f(x)-16*x+3) ogf] A074501 5.29509 [{-a(n+3)+8*a(n+2)-17*a(n+1)+10*a(n),a(0)=3,a(1)=8,a(2)=30} ogf] A074501 8.28570 [-2*(4-34*x-160*x^3+113*x^2+85*x^4)/(x-1)/(2*x-1)/(5*x-1)/(17*x^2-16*x+3) lgdogf] A074501 9.36823 [-(17*x^2-16*x+3)/(x-1)/(2*x-1)/(5*x-1) ogf] A074502 4.96607 [(1475*f(x)+20773)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x+20*x^2-f(x)-18*x+3) ogf] A074502 5.26834 [{-a(n+3)+9*a(n+2)-20*a(n+1)+12*a(n),a(0)=3,a(1)=9,a(2)=41} ogf] A074502 8.36171 [-(9-80*x-432*x^3+288*x^2+240*x^4)/(x-1)/(6*x-1)/(2*x-1)/(20*x^2-18*x+3) lgdogf] A074502 9.32091 [-(20*x^2-18*x+3)/(x-1)/(6*x-1)/(2*x-1) ogf] A074503 4.67334 [(13050*f(x)+157603)*(14*f(x)*x^3-23*f(x)*x^2+10*f(x)*x+23*x^2-f(x)-20*x+3) ogf] A074503 4.99288 [{-a(n+3)+10*a(n+2)-23*a(n+1)+14*a(n),a(0)=3,a(1)=10,a(2)=54} ogf] A074503 7.83814 [-2*(5-46*x-280*x^3+178*x^2+161*x^4)/(x-1)/(2*x-1)/(7*x-1)/(23*x^2-20*x+3) lgdogf] A074503 8.85102 [-(23*x^2-20*x+3)/(x-1)/(2*x-1)/(7*x-1) ogf] A074504 4.85922 [(175077*f(x)+1920139)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x+26*x^2-f(x)-22*x+3) ogf] A074504 5.27453 [{-a(n+3)+11*a(n+2)-26*a(n+1)+16*a(n),a(0)=3,a(1)=11,a(2)=69} ogf] A074504 8.17753 [-(11-104*x-704*x^3+430*x^2+416*x^4)/(x-1)/(-1+8*x)/(2*x-1)/(26*x^2-22*x+3) lgdogf] A074504 9.35030 [-(26*x^2-22*x+3)/(x-1)/(8*x-1)/(2*x-1) ogf] A074505 4.52099 [(121912*f(x)+1250849)*(18*f(x)*x^3-29*f(x)*x^2+12*f(x)*x+29*x^2-f(x)-24*x+3) ogf] A074505 4.90740 [{-a(n+3)+12*a(n+2)-29*a(n+1)+18*a(n),a(0)=3,a(1)=12,a(2)=86} ogf] A074505 7.70395 [-2*(6-58*x-432*x^3+255*x^2+261*x^4)/(x-1)/(2*x-1)/(9*x-1)/(29*x^2-24*x+3) lgdogf] A074505 8.69948 [-(29*x^2-24*x+3)/(x-1)/(2*x-1)/(9*x-1) ogf] A074506 5.14543 [(9*f(x)+143)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+19*x^2-f(x)-16*x+3) ogf] A074506 5.23490 [{-a(n+3)+8*a(n+2)-19*a(n+1)+12*a(n),a(0)=3,a(1)=8,a(2)=26} ogf] A074506 8.30242 [-4*(2-19*x-96*x^3+65*x^2+57*x^4)/(x-1)/(3*x-1)/(-1+4*x)/(19*x^2-16*x+3) lgdogf] A074506 9.26175 [-(19*x^2-16*x+3)/(x-1)/(3*x-1)/(4*x-1) ogf] A074507 5.16047 [(17*f(x)+253)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x+23*x^2-f(x)-18*x+3) ogf] A074507 5.29509 [{-a(n+3)+9*a(n+2)-23*a(n+1)+15*a(n),a(0)=3,a(1)=9,a(2)=35} ogf] A074507 8.40240 [-(9-92*x-540*x^3+342*x^2+345*x^4)/(x-1)/(3*x-1)/(5*x-1)/(23*x^2-18*x+3) lgdogf] A074507 9.36823 [-(23*x^2-18*x+3)/(x-1)/(3*x-1)/(5*x-1) ogf] A074508 4.60688 [(50*f(x)+327)*(18*f(x)*x^3-27*f(x)*x^2+10*f(x)*x+27*x^2-f(x)-20*x+3) ogf] A074508 4.68563 [{-a(n+3)+10*a(n+2)-27*a(n+1)+18*a(n),a(0)=3,a(1)=10,a(2)=46} ogf] A074508 7.34569 [-2*(5-54*x-360*x^3+216*x^2+243*x^4)/(x-1)/(6*x-1)/(3*x-1)/(27*x^2-20*x+3) lgdogf] A074508 8.30635 [-(27*x^2-20*x+3)/(x-1)/(6*x-1)/(3*x-1) ogf] A074509 4.82783 [(369*f(x)+1843)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+31*x^2-f(x)-22*x+3) ogf] A074509 4.99288 [{-a(n+3)+11*a(n+2)-31*a(n+1)+21*a(n),a(0)=3,a(1)=11,a(2)=59} ogf] A074509 7.83814 [-(11-124*x-924*x^3+530*x^2+651*x^4)/(x-1)/(3*x-1)/(7*x-1)/(31*x^2-22*x+3) lgdogf] A074509 8.85102 [-(31*x^2-22*x+3)/(x-1)/(3*x-1)/(7*x-1) ogf] A074510 4.89778 [(219275*f(x)+933013)*(24*f(x)*x^3-35*f(x)*x^2+12*f(x)*x+35*x^2-f(x)-24*x+3) ogf] A074510 5.27453 [{-a(n+3)+12*a(n+2)-35*a(n+1)+24*a(n),a(0)=3,a(1)=12,a(2)=74} ogf] A074510 8.17753 [-4*(3-35*x-288*x^3+159*x^2+210*x^4)/(x-1)/(3*x-1)/(-1+8*x)/(35*x^2-24*x+3) lgdogf] A074510 9.35030 [-(35*x^2-24*x+3)/(x-1)/(3*x-1)/(8*x-1) ogf] A074511 5.25741 [{-a(n+3)+10*a(n+2)-29*a(n+1)+20*a(n),a(0)=3,a(1)=10,a(2)=42} ogf] A074511 6.1972 [(72*f(x)+2453)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x+29*x^2-f(x)-20*x+3) ogf] A074511 8.14531 [-2*(5-58*x-400*x^3+235*x^2+290*x^4)/(x-1)/(-1+4*x)/(5*x-1)/(29*x^2-20*x+3) lgdogf] A074511 9.31995 [-(29*x^2-20*x+3)/(x-1)/(4*x-1)/(5*x-1) ogf] A074512 4.38575 [-(225*f(x)-4153)*(24*f(x)*x^3-34*f(x)*x^2+11*f(x)*x+34*x^2-f(x)-22*x+3) ogf] A074512 4.68563 [{-a(n+3)+11*a(n+2)-34*a(n+1)+24*a(n),a(0)=3,a(1)=11,a(2)=53} ogf] A074512 7.14981 [-(11-136*x-1056*x^3+590*x^2+816*x^4)/(x-1)/(6*x-1)/(-1+4*x)/(34*x^2-22*x+3) lgdogf] A074512 8.30635 [-(34*x^2-22*x+3)/(x-1)/(6*x-1)/(4*x-1) ogf] A074513 4.78826 [-(17*f(x)+39)*(28*f(x)*x^3-39*f(x)*x^2+12*f(x)*x+39*x^2-f(x)-24*x+3) ogf] A074513 4.99288 [{-a(n+3)+12*a(n+2)-39*a(n+1)+28*a(n),a(0)=3,a(1)=12,a(2)=66} ogf] A074513 8.05894 [-4*(1-13*x-112*x^3+60*x^2+91*x^4)/(x-1)/(7*x-1)/(-1+4*x)/(13*x^2-8*x+1) lgdogf] A074513 8.85102 [-3*(13*x^2-8*x+1)/(x-1)/(7*x-1)/(4*x-1) ogf] A074514 4.78388 [-(57771*f(x)+137357)*(32*f(x)*x^3-44*f(x)*x^2+13*f(x)*x+44*x^2-f(x)-26*x+3) ogf] A074514 5.27453 [{-a(n+3)+13*a(n+2)-44*a(n+1)+32*a(n),a(0)=3,a(1)=13,a(2)=81} ogf] A074514 7.85893 [-(13-176*x-1664*x^3+860*x^2+1408*x^4)/(x-1)/(-1+8*x)/(-1+4*x)/(44*x^2-26*x+3) lgdogf] A074514 9.35030 [-(44*x^2-26*x+3)/(x-1)/(8*x-1)/(4*x-1) ogf] A074515 4.78471 [(200*f(x)+429)*(36*f(x)*x^3-49*f(x)*x^2+14*f(x)*x+49*x^2-f(x)-28*x+3) ogf] A074515 4.90740 [{-a(n+3)+14*a(n+2)-49*a(n+1)+36*a(n),a(0)=3,a(1)=14,a(2)=98} ogf] A074515 7.49851 [-2*(7-98*x-1008*x^3+505*x^2+882*x^4)/(x-1)/(7*x-3)/(-1+4*x)/(9*x-1)/(7*x-1) lgdogf] A074515 8.69948 [-(7*x-1)*(7*x-3)/(x-1)/(4*x-1)/(9*x-1) ogf] A074516 4.59346 [(50*f(x)+2749)*(30*f(x)*x^3-41*f(x)*x^2+12*f(x)*x+41*x^2-f(x)-24*x+3) ogf] A074516 4.71123 [{-a(n+3)+12*a(n+2)-41*a(n+1)+30*a(n),a(0)=3,a(1)=12,a(2)=62} ogf] A074516 7.38673 [-2*(6-82*x-720*x^3+381*x^2+615*x^4)/(x-1)/(6*x-1)/(5*x-1)/(41*x^2-24*x+3) lgdogf] A074516 8.35173 [-(41*x^2-24*x+3)/(x-1)/(6*x-1)/(5*x-1) ogf] A074517 4.63625 [-(153*f(x)-12613)*(35*f(x)*x^3-47*f(x)*x^2+13*f(x)*x+47*x^2-f(x)-26*x+3) ogf] A074517 4.99288 [{-a(n+3)+13*a(n+2)-47*a(n+1)+35*a(n),a(0)=3,a(1)=13,a(2)=75} ogf] A074517 7.62913 [-(13-188*x-1820*x^3+926*x^2+1645*x^4)/(x-1)/(7*x-1)/(5*x-1)/(47*x^2-26*x+3) lgdogf] A074517 8.85102 [-(47*x^2-26*x+3)/(x-1)/(7*x-1)/(5*x-1) ogf] A074518 4.89778 [-(7497*f(x)-5227)*(40*f(x)*x^3-53*f(x)*x^2+14*f(x)*x+53*x^2-f(x)-28*x+3) ogf] A074518 5.27453 [{-a(n+3)+14*a(n+2)-53*a(n+1)+40*a(n),a(0)=3,a(1)=14,a(2)=90} ogf] A074518 7.85893 [-2*(7-106*x-1120*x^3+551*x^2+1060*x^4)/(x-1)/(-1+8*x)/(5*x-1)/(53*x^2-28*x+3) lgdogf] A074518 9.35030 [-(53*x^2-28*x+3)/(x-1)/(8*x-1)/(5*x-1) ogf] A074519 4.65411 [-(701*f(x)+649)*(45*f(x)*x^3-59*f(x)*x^2+15*f(x)*x+59*x^2-f(x)-30*x+3) ogf] A074519 4.89076 [{-a(n+3)+15*a(n+2)-59*a(n+1)+45*a(n),a(0)=3,a(1)=15,a(2)=107} ogf] A074519 7.43859 [-(15-236*x-2700*x^3+1290*x^2+2655*x^4)/(x-1)/(9*x-1)/(5*x-1)/(59*x^2-30*x+3) lgdogf] A074519 8.74409 [-(59*x^2-30*x+3)/(x-1)/(9*x-1)/(5*x-1) ogf] A074520 4.83737 [(450*f(x)+35761)*(42*f(x)*x^3-55*f(x)*x^2+14*f(x)*x+55*x^2-f(x)-28*x+3) ogf] A074520 5.04409 [{-a(n+3)+14*a(n+2)-55*a(n+1)+42*a(n),a(0)=3,a(1)=14,a(2)=86} ogf] A074520 7.60758 [-2*(7-110*x-1176*x^3+574*x^2+1155*x^4)/(x-1)/(6*x-1)/(7*x-1)/(55*x^2-28*x+3) lgdogf] A074520 8.94180 [-(55*x^2-28*x+3)/(x-1)/(6*x-1)/(7*x-1) ogf] A074521 4.80711 [-(8575*f(x)-1980367)*(48*f(x)*x^3-62*f(x)*x^2+15*f(x)*x+62*x^2-f(x)-30*x+3) ogf] A074521 5.25522 [{-a(n+3)+15*a(n+2)-62*a(n+1)+48*a(n),a(0)=3,a(1)=15,a(2)=101} ogf] A074521 7.89783 [-(15-248*x-2880*x^3+1362*x^2+2976*x^4)/(x-1)/(6*x-1)/(-1+8*x)/(62*x^2-30*x+3) lgdogf] A074521 9.39570 [-(62*x^2-30*x+3)/(x-1)/(6*x-1)/(8*x-1) ogf] A074522 4.65411 [-(200*f(x)-701)*(54*f(x)*x^3-69*f(x)*x^2+16*f(x)*x+69*x^2-f(x)-32*x+3) ogf] A074522 4.89076 [{-a(n+3)+16*a(n+2)-69*a(n+1)+54*a(n),a(0)=3,a(1)=16,a(2)=118} ogf] A074522 7.34198 [-2*(8-138*x-1728*x^3+795*x^2+1863*x^4)/(x-1)/(6*x-1)/(23*x-3)/(3*x-1)/(9*x-1) lgdogf] A074522 8.74409 [-(23*x-3)*(3*x-1)/(x-1)/(6*x-1)/(9*x-1) ogf] A074523 5.10748 [(441*f(x)+47527)*(56*f(x)*x^3-71*f(x)*x^2+16*f(x)*x+71*x^2-f(x)-32*x+3) ogf] A074523 5.28061 [{-a(n+3)+16*a(n+2)-71*a(n+1)+56*a(n),a(0)=3,a(1)=16,a(2)=114} ogf] A074523 8.25850 [-4*(4-71*x-896*x^3+410*x^2+994*x^4)/(x-1)/(-1+8*x)/(7*x-1)/(71*x^2-32*x+3) lgdogf] A074523 9.44109 [-(71*x^2-32*x+3)/(x-1)/(8*x-1)/(7*x-1) ogf] A074524 4.71589 [-(4*f(x)-2727)*(63*f(x)*x^3-79*f(x)*x^2+17*f(x)*x+79*x^2-f(x)-34*x+3) ogf] A074524 4.91572 [{-a(n+3)+17*a(n+2)-79*a(n+1)+63*a(n),a(0)=3,a(1)=17,a(2)=131} ogf] A074524 7.47733 [-(17-316*x-4284*x^3+1910*x^2+4977*x^4)/(x-1)/(7*x-1)/(9*x-1)/(79*x^2-34*x+3) lgdogf] A074524 8.78871 [-(79*x^2-34*x+3)/(x-1)/(7*x-1)/(9*x-1) ogf] A074525 4.7016 [(1568*f(x)+219481)*(72*f(x)*x^3-89*f(x)*x^2+18*f(x)*x+89*x^2-f(x)-36*x+3) ogf] A074525 4.94067 [{-a(n+3)+18*a(n+2)-89*a(n+1)+72*a(n),a(0)=3,a(1)=18,a(2)=146} ogf] A074525 7.32335 [-2*(9-178*x-2592*x^3+1125*x^2+3204*x^4)/(x-1)/(-1+8*x)/(9*x-1)/(89*x^2-36*x+3) lgdogf] A074525 8.83332 [-(89*x^2-36*x+3)/(x-1)/(8*x-1)/(9*x-1) ogf] A074526 4.93455 [-(83*f(x)-299)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+26*x^2-f(x)-18*x+3) ogf] A074526 5.23490 [{-a(n+3)+9*a(n+2)-26*a(n+1)+24*a(n),a(0)=3,a(1)=9,a(2)=29} ogf] A074526 7.85963 [-(9-104*x-864*x^3+450*x^2+624*x^4)/(3*x-1)/(2*x-1)/(-1+4*x)/(26*x^2-18*x+3) lgdogf] A074526 9.26175 [-(26*x^2-18*x+3)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A074527 4.97582 [-(18*f(x)-743)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x+31*x^2-f(x)-20*x+3) ogf] A074527 5.23099 [{-a(n+3)+10*a(n+2)-31*a(n+1)+30*a(n),a(0)=3,a(1)=10,a(2)=38} ogf] A074527 7.99549 [-2*(5-62*x-600*x^3+290*x^2+465*x^4)/(3*x-1)/(2*x-1)/(5*x-1)/(31*x^2-20*x+3) lgdogf] A074527 9.27312 [-(31*x^2-20*x+3)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A074528 4.4936 [-(f(x)-373)*(36*f(x)*x^3-36*f(x)*x^2+11*f(x)*x+36*x^2-f(x)-22*x+3) ogf] A074528 4.68563 [{-a(n+3)+11*a(n+2)-36*a(n+1)+36*a(n),a(0)=3,a(1)=11,a(2)=49} ogf] A074528 6.96410 [-(11-144*x-1584*x^3+720*x^2+1296*x^4)/(6*x-1)/(3*x-1)/(2*x-1)/(36*x^2-22*x+3) lgdogf] A074528 8.30635 [-(36*x^2-22*x+3)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A074529 4.71103 [(2350*f(x)+304523)*(42*f(x)*x^3-41*f(x)*x^2+12*f(x)*x+41*x^2-f(x)-24*x+3) ogf] A074529 4.99288 [{-a(n+3)+12*a(n+2)-41*a(n+1)+42*a(n),a(0)=3,a(1)=12,a(2)=62} ogf] A074529 7.52874 [-2*(6-82*x-1008*x^3+435*x^2+861*x^4)/(3*x-1)/(2*x-1)/(7*x-1)/(41*x^2-24*x+3) lgdogf] A074529 8.85102 [-(41*x^2-24*x+3)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A074530 4.97678 [(6975*f(x)+494033)*(48*f(x)*x^3-46*f(x)*x^2+13*f(x)*x+46*x^2-f(x)-26*x+3) ogf] A074530 5.27453 [{-a(n+3)+13*a(n+2)-46*a(n+1)+48*a(n),a(0)=3,a(1)=13,a(2)=77} ogf] A074530 7.65997 [-(13-184*x-2496*x^3+1030*x^2+2208*x^4)/(3*x-1)/(2*x-1)/(-1+8*x)/(46*x^2-26*x+3) lgdogf] A074530 9.35030 [-(46*x^2-26*x+3)/(3*x-1)/(2*x-1)/(8*x-1) ogf] A074531 4.63037 [(2254*f(x)+121733)*(54*f(x)*x^3-51*f(x)*x^2+14*f(x)*x+51*x^2-f(x)-28*x+3) ogf] A074531 4.90740 [{-a(n+3)+14*a(n+2)-51*a(n+1)+54*a(n),a(0)=3,a(1)=14,a(2)=94} ogf] A074531 7.21010 [-2*(7-102*x-1512*x^3+600*x^2+1377*x^4)/(3*x-1)/(2*x-1)/(9*x-1)/(51*x^2-28*x+3) lgdogf] A074531 8.69948 [-(51*x^2-28*x+3)/(3*x-1)/(2*x-1)/(9*x-1) ogf] A074532 5.00095 [(1341*f(x)+23099)*(40*f(x)*x^3-38*f(x)*x^2+11*f(x)*x+38*x^2-f(x)-22*x+3) ogf] A074532 5.25741 [{-a(n+3)+11*a(n+2)-38*a(n+1)+40*a(n),a(0)=3,a(1)=11,a(2)=45} ogf] A074532 7.72760 [-(11-152*x-1760*x^3+778*x^2+1520*x^4)/(-1+4*x)/(2*x-1)/(5*x-1)/(38*x^2-22*x+3) lgdogf] A074532 9.31995 [-(38*x^2-22*x+3)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A074533 4.53074 [-(2*f(x)-11)*(48*f(x)*x^3-44*f(x)*x^2+12*f(x)*x+44*x^2-f(x)-24*x+3) ogf] A074533 4.68563 [{-a(n+3)+12*a(n+2)-44*a(n+1)+48*a(n),a(0)=3,a(1)=12,a(2)=56} ogf] A074533 7.05573 [-4*(3-44*x-576*x^3+240*x^2+528*x^4)/(6*x-1)/(2*x-1)/(-1+4*x)/(44*x^2-24*x+3) lgdogf] A074533 8.30635 [-(44*x^2-24*x+3)/(6*x-1)/(2*x-1)/(4*x-1) ogf] A074534 4.52843 [-(10575*f(x)-671431)*(56*f(x)*x^3-50*f(x)*x^2+13*f(x)*x+50*x^2-f(x)-26*x+3) ogf] A074534 4.99288 [{-a(n+3)+13*a(n+2)-50*a(n+1)+56*a(n),a(0)=3,a(1)=13,a(2)=69} ogf] A074534 7.24284 [-(13-200*x-2912*x^3+1154*x^2+2800*x^4)/(-1+4*x)/(2*x-1)/(7*x-1)/(50*x^2-26*x+3) lgdogf] A074534 8.85102 [-(50*x^2-26*x+3)/(4*x-1)/(2*x-1)/(7*x-1) ogf] A074535 5.22984 [(9*f(x)+463)*(64*f(x)*x^3-56*f(x)*x^2+14*f(x)*x+56*x^2-f(x)-28*x+3) ogf] A074535 5.27453 [{-a(n+3)+14*a(n+2)-56*a(n+1)+64*a(n),a(0)=3,a(1)=14,a(2)=84} ogf] A074535 7.56422 [-2*(7-112*x-1792*x^3+680*x^2+1792*x^4)/(-1+8*x)/(2*x-1)/(-1+4*x)/(56*x^2-28*x+3) lgdogf] A074535 9.35030 [-(56*x^2-28*x+3)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A074536 4.50867 [(449575*f(x)+11452673)*(72*f(x)*x^3-62*f(x)*x^2+15*f(x)*x+62*x^2-f(x)-30*x+3) ogf] A074536 4.89076 [{-a(n+3)+15*a(n+2)-62*a(n+1)+72*a(n),a(0)=3,a(1)=15,a(2)=101} ogf] A074536 7.15611 [-(15-248*x-4320*x^3+1578*x^2+4464*x^4)/(-1+4*x)/(9*x-1)/(2*x-1)/(62*x^2-30*x+3) lgdogf] A074536 8.74409 [-(62*x^2-30*x+3)/(4*x-1)/(9*x-1)/(2*x-1) ogf] A074537 4.67131 [(9*f(x)+311)*(60*f(x)*x^3-52*f(x)*x^2+13*f(x)*x+52*x^2-f(x)-26*x+3) ogf] A074537 4.71123 [{-a(n+3)+13*a(n+2)-52*a(n+1)+60*a(n),a(0)=3,a(1)=13,a(2)=65} ogf] A074537 6.91322 [-(13-208*x-3120*x^3+1216*x^2+3120*x^4)/(6*x-1)/(2*x-1)/(5*x-1)/(52*x^2-26*x+3) lgdogf] A074537 8.35173 [-(52*x^2-26*x+3)/(6*x-1)/(2*x-1)/(5*x-1) ogf] A074538 10.8655 [-(59*x^2-28*x+3)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A074538 5.92663 [(450*f(x)+3029)*(70*f(x)*x^3-59*f(x)*x^2+14*f(x)*x+59*x^2-f(x)-28*x+3) ogf] A074538 6.12924 [{-a(n+3)+14*a(n+2)-59*a(n+1)+70*a(n),a(0)=3,a(1)=14,a(2)=78} ogf] A074538 7.33570 [-2*(7-118*x-1960*x^3+728*x^2+2065*x^4)/(2*x-1)/(7*x-1)/(5*x-1)/(59*x^2-28*x+3) lgdogf] A074539 5.01724 [-(29*f(x)-429)*(80*f(x)*x^3-66*f(x)*x^2+15*f(x)*x+66*x^2-f(x)-30*x+3) ogf] A074539 5.27453 [{-a(n+3)+15*a(n+2)-66*a(n+1)+80*a(n),a(0)=3,a(1)=15,a(2)=93} ogf] A074539 7.96234 [-(5-88*x-1600*x^3+570*x^2+1760*x^4)/(5*x-1)/(2*x-1)/(-1+8*x)/(22*x^2-10*x+1) lgdogf] A074539 9.35030 [-3*(22*x^2-10*x+1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A074540 10.9326 [-(73*x^2-32*x+3)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A074540 5.91436 [(686*f(x)+20079)*(90*f(x)*x^3-73*f(x)*x^2+16*f(x)*x+73*x^2-f(x)-32*x+3) ogf] A074540 6.11484 [{-a(n+3)+16*a(n+2)-73*a(n+1)+90*a(n),a(0)=3,a(1)=16,a(2)=110} ogf] A074540 7.24785 [-2*(8-146*x-2880*x^3+989*x^2+3285*x^4)/(9*x-1)/(2*x-1)/(5*x-1)/(73*x^2-32*x+3) lgdogf] A074541 4.83737 [(325*f(x)+17567)*(84*f(x)*x^3-68*f(x)*x^2+15*f(x)*x+68*x^2-f(x)-30*x+3) ogf] A074541 5.04409 [{-a(n+3)+15*a(n+2)-68*a(n+1)+84*a(n),a(0)=3,a(1)=15,a(2)=89} ogf] A074541 7.41251 [-(15-272*x-5040*x^3+1776*x^2+5712*x^4)/(6*x-1)/(2*x-1)/(7*x-1)/(68*x^2-30*x+3) lgdogf] A074541 8.94180 [-(68*x^2-30*x+3)/(6*x-1)/(2*x-1)/(7*x-1) ogf] A074542 5.08292 [-(9*f(x)+143)*(96*f(x)*x^3-76*f(x)*x^2+16*f(x)*x+76*x^2-f(x)-32*x+3) ogf] A074542 5.25522 [{-a(n+3)+16*a(n+2)-76*a(n+1)+96*a(n),a(0)=3,a(1)=16,a(2)=104} ogf] A074542 7.89783 [-16*(1-19*x-384*x^3+130*x^2+456*x^4)/(6*x-1)/(-1+8*x)/(2*x-1)/(76*x^2-32*x+3) lgdogf] A074542 9.39570 [-(76*x^2-32*x+3)/(6*x-1)/(8*x-1)/(2*x-1) ogf] A074543 4.69195 [(1127*f(x)+5329)*(108*f(x)*x^3-84*f(x)*x^2+17*f(x)*x+84*x^2-f(x)-34*x+3) ogf] A074543 4.84966 [{-a(n+3)+17*a(n+2)-84*a(n+1)+108*a(n),a(0)=3,a(1)=17,a(2)=121} ogf] A074543 7.24785 [-(17-336*x-7344*x^3+2400*x^2+9072*x^4)/(6*x-1)/(2*x-1)/(9*x-1)/(84*x^2-34*x+3) lgdogf] A074543 8.61358 [-(84*x^2-34*x+3)/(6*x-1)/(2*x-1)/(9*x-1) ogf] A074544 4.86806 [(103725*f(x)+7936643)*(112*f(x)*x^3-86*f(x)*x^2+17*f(x)*x+86*x^2-f(x)-34*x+3) ogf] A074544 5.23624 [{-a(n+3)+17*a(n+2)-86*a(n+1)+112*a(n),a(0)=3,a(1)=17,a(2)=117} ogf] A074544 7.73581 [-(17-344*x-7616*x^3+2470*x^2+9632*x^4)/(2*x-1)/(-1+8*x)/(7*x-1)/(86*x^2-34*x+3) lgdogf] A074544 9.30018 [-(86*x^2-34*x+3)/(2*x-1)/(8*x-1)/(7*x-1) ogf] A074545 4.67786 [(2450*f(x)+60649)*(126*f(x)*x^3-95*f(x)*x^2+18*f(x)*x+95*x^2-f(x)-36*x+3) ogf] A074545 4.87441 [{-a(n+3)+18*a(n+2)-95*a(n+1)+126*a(n),a(0)=3,a(1)=18,a(2)=134} ogf] A074545 7.19338 [-2*(9-190*x-4536*x^3+1422*x^2+5985*x^4)/(9*x-1)/(2*x-1)/(7*x-1)/(95*x^2-36*x+3) lgdogf] A074545 8.65754 [-(95*x^2-36*x+3)/(9*x-1)/(2*x-1)/(7*x-1) ogf] A074546 4.59054 [(3283*f(x)+335421)*(144*f(x)*x^3-106*f(x)*x^2+19*f(x)*x+106*x^2-f(x)-38*x+3) ogf] A074546 4.85832 [{-a(n+3)+19*a(n+2)-106*a(n+1)+144*a(n),a(0)=3,a(1)=19,a(2)=149} ogf] A074546 6.96611 [-(19-424*x-10944*x^3+3310*x^2+15264*x^4)/(-1+8*x)/(2*x-1)/(9*x-1)/(106*x^2-38*x+3) lgdogf] A074546 8.44926 [-(106*x^2-38*x+3)/(8*x-1)/(2*x-1)/(9*x-1) ogf] A074547 4.96062 [-(157*f(x)-517)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x+47*x^2-f(x)-24*x+3) ogf] A074547 5.25741 [{-a(n+3)+12*a(n+2)-47*a(n+1)+60*a(n),a(0)=3,a(1)=12,a(2)=50} ogf] A074547 7.93096 [-4*(3-47*x-720*x^3+276*x^2+705*x^4)/(-1+4*x)/(3*x-1)/(5*x-1)/(47*x^2-24*x+3) lgdogf] A074547 9.31995 [-(47*x^2-24*x+3)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A074548 4.42112 [-(37*f(x)-1341)*(72*f(x)*x^3-54*f(x)*x^2+13*f(x)*x+54*x^2-f(x)-26*x+3) ogf] A074548 4.68563 [{-a(n+3)+13*a(n+2)-54*a(n+1)+72*a(n),a(0)=3,a(1)=13,a(2)=61} ogf] A074548 6.78779 [-(13-216*x-3744*x^3+1350*x^2+3888*x^4)/(6*x-1)/(3*x-1)/(-1+4*x)/(54*x^2-26*x+3) lgdogf] A074548 8.30635 [-(54*x^2-26*x+3)/(6*x-1)/(3*x-1)/(4*x-1) ogf] A074549 4.71103 [-(72*f(x)-6491)*(84*f(x)*x^3-61*f(x)*x^2+14*f(x)*x+61*x^2-f(x)-28*x+3) ogf] A074549 4.99288 [{-a(n+3)+14*a(n+2)-61*a(n+1)+84*a(n),a(0)=3,a(1)=14,a(2)=74} ogf] A074549 7.24284 [-2*(7-122*x-2352*x^3+805*x^2+2562*x^4)/(3*x-1)/(7*x-1)/(-1+4*x)/(61*x^2-28*x+3) lgdogf] A074549 8.85102 [-(61*x^2-28*x+3)/(3*x-1)/(7*x-1)/(4*x-1) ogf] A074550 4.82126 [-(1975*f(x)-566239)*(96*f(x)*x^3-68*f(x)*x^2+15*f(x)*x+68*x^2-f(x)-30*x+3) ogf] A074550 5.27453 [{-a(n+3)+15*a(n+2)-68*a(n+1)+96*a(n),a(0)=3,a(1)=15,a(2)=89} ogf] A074550 7.56422 [-(15-272*x-5760*x^3+1884*x^2+6528*x^4)/(-1+4*x)/(3*x-1)/(-1+8*x)/(68*x^2-30*x+3) lgdogf] A074550 9.35030 [-(68*x^2-30*x+3)/(4*x-1)/(3*x-1)/(8*x-1) ogf] A074551 4.73041 [(25*f(x)+22847)*(108*f(x)*x^3-75*f(x)*x^2+16*f(x)*x+75*x^2-f(x)-32*x+3) ogf] A074551 4.84966 [{-a(n+3)+16*a(n+2)-75*a(n+1)+108*a(n),a(0)=3,a(1)=16,a(2)=106} ogf] A074551 7.24785 [-4*(4-75*x-1728*x^3+543*x^2+2025*x^4)/(-1+4*x)/(3*x-1)/(9*x-1)/(75*x^2-32*x+3) lgdogf] A074551 8.61358 [-(75*x^2-32*x+3)/(4*x-1)/(3*x-1)/(9*x-1) ogf] A074552 4.59975 [-(1039*f(x)-4189)*(105*f(x)*x^3-71*f(x)*x^2+15*f(x)*x+71*x^2-f(x)-30*x+3) ogf] A074552 4.95057 [{-a(n+3)+15*a(n+2)-71*a(n+1)+105*a(n),a(0)=3,a(1)=15,a(2)=83} ogf] A074552 7.33570 [-(15-284*x-6300*x^3+2010*x^2+7455*x^4)/(3*x-1)/(7*x-1)/(5*x-1)/(71*x^2-30*x+3) lgdogf] A074552 8.71891 [-(71*x^2-30*x+3)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A074553 4.89778 [-(225*f(x)-4993)*(120*f(x)*x^3-79*f(x)*x^2+16*f(x)*x+79*x^2-f(x)-32*x+3) ogf] A074553 5.22983 [{-a(n+3)+16*a(n+2)-79*a(n+1)+120*a(n),a(0)=3,a(1)=16,a(2)=98} ogf] A074553 7.75817 [-4*(4-79*x-1920*x^3+586*x^2+2370*x^4)/(3*x-1)/(-1+8*x)/(5*x-1)/(79*x^2-32*x+3) lgdogf] A074553 9.21075 [-(79*x^2-32*x+3)/(3*x-1)/(8*x-1)/(5*x-1) ogf] A074554 4.54417 [-(181*f(x)-12661)*(135*f(x)*x^3-87*f(x)*x^2+17*f(x)*x+87*x^2-f(x)-34*x+3) ogf] A074554 4.84966 [{-a(n+3)+17*a(n+2)-87*a(n+1)+135*a(n),a(0)=3,a(1)=17,a(2)=115} ogf] A074554 7.15611 [-(17-348*x-9180*x^3+2694*x^2+11745*x^4)/(3*x-1)/(9*x-1)/(5*x-1)/(87*x^2-34*x+3) lgdogf] A074554 8.61358 [-(87*x^2-34*x+3)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A074555 4.87735 [(82*f(x)+3369)*(126*f(x)*x^3-81*f(x)*x^2+16*f(x)*x+81*x^2-f(x)-32*x+3) ogf] A074555 5.00135 [{-a(n+3)+16*a(n+2)-81*a(n+1)+126*a(n),a(0)=3,a(1)=16,a(2)=94} ogf] A074555 7.31868 [-2*(8-162*x-4032*x^3+1215*x^2+5103*x^4)/(6*x-1)/(3*x-1)/(7*x-1)/(81*x^2-32*x+3) lgdogf] A074555 8.80834 [-(81*x^2-32*x+3)/(6*x-1)/(3*x-1)/(7*x-1) ogf] A074556 4.84466 [-(2075*f(x)+14869)*(144*f(x)*x^3-90*f(x)*x^2+17*f(x)*x+90*x^2-f(x)-34*x+3) ogf] A074556 5.21106 [{-a(n+3)+17*a(n+2)-90*a(n+1)+144*a(n),a(0)=3,a(1)=17,a(2)=109} ogf] A074556 7.60166 [-(17-360*x-9792*x^3+2826*x^2+12960*x^4)/(6*x-1)/(3*x-1)/(-1+8*x)/(90*x^2-34*x+3) lgdogf] A074556 9.25546 [-(90*x^2-34*x+3)/(6*x-1)/(3*x-1)/(8*x-1) ogf] A074557 4.73041 [-(2*f(x)-11)*(162*f(x)*x^3-99*f(x)*x^2+18*f(x)*x+99*x^2-f(x)-36*x+3) ogf] A074557 4.84966 [{-a(n+3)+18*a(n+2)-99*a(n+1)+162*a(n),a(0)=3,a(1)=18,a(2)=126} ogf] A074557 7.53777 [-6*(1-22*x-648*x^3+180*x^2+891*x^4)/(6*x-1)/(3*x-1)/(9*x-1)/(33*x^2-12*x+1) lgdogf] A074557 8.61358 [-3*(33*x^2-12*x+1)/(6*x-1)/(3*x-1)/(9*x-1) ogf] A074558 4.9064 [(3175*f(x)+198299)*(168*f(x)*x^3-101*f(x)*x^2+18*f(x)*x+101*x^2-f(x)-36*x+3) ogf] A074558 5.19260 [{-a(n+3)+18*a(n+2)-101*a(n+1)+168*a(n),a(0)=3,a(1)=18,a(2)=122} ogf] A074558 7.54480 [-2*(9-202*x-6048*x^3+1665*x^2+8484*x^4)/(3*x-1)/(-1+8*x)/(7*x-1)/(101*x^2-36*x+3) lgdogf] A074558 9.03061 [-(101*x^2-36*x+3)/(3*x-1)/(8*x-1)/(7*x-1) ogf] A074559 4.64044 [(677*f(x)+10579)*(189*f(x)*x^3-111*f(x)*x^2+19*f(x)*x+111*x^2-f(x)-38*x+3) ogf] A074559 4.83379 [{-a(n+3)+19*a(n+2)-111*a(n+1)+189*a(n),a(0)=3,a(1)=19,a(2)=139} ogf] A074559 7.01576 [-(19-444*x-14364*x^3+3810*x^2+20979*x^4)/(3*x-1)/(7*x-1)/(9*x-1)/(111*x^2-38*x+3) lgdogf] A074559 8.40659 [-(111*x^2-38*x+3)/(3*x-1)/(7*x-1)/(9*x-1) ogf] A074560 10.5455 [-(123*x^2-40*x+3)/(3*x-1)/(9*x-1)/(8*x-1) ogf] A074560 5.72946 [(5575*f(x)+482777)*(216*f(x)*x^3-123*f(x)*x^2+20*f(x)*x+123*x^2-f(x)-40*x+3) ogf] A074560 6.06367 [{-a(n+3)+20*a(n+2)-123*a(n+1)+216*a(n),a(0)=3,a(1)=20,a(2)=154} ogf] A074560 7.05212 [-4*(5-123*x-4320*x^3+1101*x^2+6642*x^4)/(3*x-1)/(9*x-1)/(-1+8*x)/(123*x^2-40*x+3) lgdogf] A074561 4.37472 [-(827*f(x)-2627)*(120*f(x)*x^3-74*f(x)*x^2+15*f(x)*x+74*x^2-f(x)-30*x+3) ogf] A074561 4.67131 [{-a(n+3)+15*a(n+2)-74*a(n+1)+120*a(n),a(0)=3,a(1)=15,a(2)=77} ogf] A074561 6.82571 [-(15-296*x-7200*x^3+2190*x^2+8880*x^4)/(6*x-1)/(-1+4*x)/(5*x-1)/(74*x^2-30*x+3) lgdogf] A074561 8.22707 [-(74*x^2-30*x+3)/(6*x-1)/(4*x-1)/(5*x-1) ogf] A074562 4.52843 [-(4113*f(x)-158393)*(140*f(x)*x^3-83*f(x)*x^2+16*f(x)*x+83*x^2-f(x)-32*x+3) ogf] A074562 4.95057 [{-a(n+3)+16*a(n+2)-83*a(n+1)+140*a(n),a(0)=3,a(1)=16,a(2)=90} ogf] A074562 7.33570 [-4*(4-83*x-2240*x^3+647*x^2+2905*x^4)/(-1+4*x)/(7*x-1)/(5*x-1)/(83*x^2-32*x+3) lgdogf] A074562 8.71891 [-(83*x^2-32*x+3)/(4*x-1)/(7*x-1)/(5*x-1) ogf] A074563 4.80711 [-(4113*f(x)-328553)*(160*f(x)*x^3-92*f(x)*x^2+17*f(x)*x+92*x^2-f(x)-34*x+3) ogf] A074563 5.21106 [{-a(n+3)+17*a(n+2)-92*a(n+1)+160*a(n),a(0)=3,a(1)=17,a(2)=105} ogf] A074563 7.41626 [-(17-368*x-10880*x^3+3004*x^2+14720*x^4)/(-1+4*x)/(-1+8*x)/(5*x-1)/(92*x^2-34*x+3) lgdogf] A074563 9.25546 [-(92*x^2-34*x+3)/(4*x-1)/(8*x-1)/(5*x-1) ogf] A074564 4.47372 [-(200*f(x)-30899)*(180*f(x)*x^3-101*f(x)*x^2+18*f(x)*x+101*x^2-f(x)-36*x+3) ogf] A074564 4.80925 [{-a(n+3)+18*a(n+2)-101*a(n+1)+180*a(n),a(0)=3,a(1)=18,a(2)=122} ogf] A074564 6.97941 [-2*(9-202*x-6480*x^3+1719*x^2+9090*x^4)/(-1+4*x)/(9*x-1)/(5*x-1)/(101*x^2-36*x+3) lgdogf] A074564 8.36391 [-(101*x^2-36*x+3)/(4*x-1)/(9*x-1)/(5*x-1) ogf] A074565 4.78351 [(1233*f(x)+32311)*(168*f(x)*x^3-94*f(x)*x^2+17*f(x)*x+94*x^2-f(x)-34*x+3) ogf] A074565 4.98450 [{-a(n+3)+17*a(n+2)-94*a(n+1)+168*a(n),a(0)=3,a(1)=17,a(2)=101} ogf] A074565 7.17496 [-(17-376*x-11424*x^3+3110*x^2+15792*x^4)/(6*x-1)/(7*x-1)/(-1+4*x)/(94*x^2-34*x+3) lgdogf] A074565 8.85306 [-(94*x^2-34*x+3)/(6*x-1)/(7*x-1)/(4*x-1) ogf] A074566 4.92156 [-(83*f(x)-299)*(192*f(x)*x^3-104*f(x)*x^2+18*f(x)*x+104*x^2-f(x)-36*x+3) ogf] A074566 5.16763 [{-a(n+3)+18*a(n+2)-104*a(n+1)+192*a(n),a(0)=3,a(1)=18,a(2)=116} ogf] A074566 7.41626 [-2*(9-208*x-6912*x^3+1800*x^2+9984*x^4)/(6*x-1)/(-1+8*x)/(-1+4*x)/(104*x^2-36*x+3) lgdogf] A074566 8.98719 [-(104*x^2-36*x+3)/(6*x-1)/(8*x-1)/(4*x-1) ogf] A074567 4.49655 [-(575*f(x)-11111)*(216*f(x)*x^3-114*f(x)*x^2+19*f(x)*x+114*x^2-f(x)-38*x+3) ogf] A074567 4.83379 [{-a(n+3)+19*a(n+2)-114*a(n+1)+216*a(n),a(0)=3,a(1)=19,a(2)=133} ogf] A074567 6.93021 [-(19-456*x-16416*x^3+4110*x^2+24624*x^4)/(6*x-1)/(-1+4*x)/(9*x-1)/(114*x^2-38*x+3) lgdogf] A074567 8.40659 [-(114*x^2-38*x+3)/(6*x-1)/(4*x-1)/(9*x-1) ogf] A074568 4.9064 [(7731*f(x)+374917)*(224*f(x)*x^3-116*f(x)*x^2+19*f(x)*x+116*x^2-f(x)-38*x+3) ogf] A074568 5.19260 [{-a(n+3)+19*a(n+2)-116*a(n+1)+224*a(n),a(0)=3,a(1)=19,a(2)=129} ogf] A074568 7.36300 [-(19-464*x-17024*x^3+4220*x^2+25984*x^4)/(-1+8*x)/(7*x-1)/(-1+4*x)/(116*x^2-38*x+3) lgdogf] A074568 9.03061 [-(116*x^2-38*x+3)/(8*x-1)/(7*x-1)/(4*x-1) ogf] A074569 4.46196 [-(2525*f(x)+21051)*(252*f(x)*x^3-127*f(x)*x^2+20*f(x)*x+127*x^2-f(x)-40*x+3) ogf] A074569 4.83379 [{-a(n+3)+20*a(n+2)-127*a(n+1)+252*a(n),a(0)=3,a(1)=20,a(2)=146} ogf] A074569 7.01576 [-4*(5-127*x-5040*x^3+1202*x^2+8001*x^4)/(-1+4*x)/(9*x-1)/(7*x-1)/(127*x^2-40*x+3) lgdogf] A074569 8.40659 [-(127*x^2-40*x+3)/(4*x-1)/(9*x-1)/(7*x-1) ogf] A074570 4.59054 [(4075*f(x)+294221)*(288*f(x)*x^3-140*f(x)*x^2+21*f(x)*x+140*x^2-f(x)-42*x+3) ogf] A074570 4.85832 [{-a(n+3)+21*a(n+2)-140*a(n+1)+288*a(n),a(0)=3,a(1)=21,a(2)=161} ogf] A074570 6.88219 [-(21-560*x-24192*x^3+5532*x^2+40320*x^4)/(-1+4*x)/(9*x-1)/(-1+8*x)/(140*x^2-42*x+3) lgdogf] A074570 8.44926 [-(140*x^2-42*x+3)/(4*x-1)/(9*x-1)/(8*x-1) ogf] A074571 4.63402 [-(446*f(x)-1391)*(210*f(x)*x^3-107*f(x)*x^2+18*f(x)*x+107*x^2-f(x)-36*x+3) ogf] A074571 4.94296 [{-a(n+3)+18*a(n+2)-107*a(n+1)+210*a(n),a(0)=3,a(1)=18,a(2)=110} ogf] A074571 7.17496 [-2*(9-214*x-7560*x^3+1908*x^2+11235*x^4)/(6*x-1)/(7*x-1)/(5*x-1)/(107*x^2-36*x+3) lgdogf] A074571 8.59645 [-(107*x^2-36*x+3)/(6*x-1)/(7*x-1)/(5*x-1) ogf] A074572 4.84466 [-(153*f(x)-6473)*(240*f(x)*x^3-118*f(x)*x^2+19*f(x)*x+118*x^2-f(x)-38*x+3) ogf] A074572 5.16763 [{-a(n+3)+19*a(n+2)-118*a(n+1)+240*a(n),a(0)=3,a(1)=19,a(2)=125} ogf] A074572 7.41626 [-(19-472*x-18240*x^3+4402*x^2+28320*x^4)/(6*x-1)/(-1+8*x)/(5*x-1)/(118*x^2-38*x+3) lgdogf] A074572 8.98719 [-(118*x^2-38*x+3)/(6*x-1)/(8*x-1)/(5*x-1) ogf] A074573 4.49655 [-(694*f(x)-56569)*(270*f(x)*x^3-129*f(x)*x^2+20*f(x)*x+129*x^2-f(x)-40*x+3) ogf] A074573 4.83379 [{-a(n+3)+20*a(n+2)-129*a(n+1)+270*a(n),a(0)=3,a(1)=20,a(2)=142} ogf] A074573 6.84671 [-2*(10-258*x-10800*x^3+2505*x^2+17415*x^4)/(6*x-1)/(9*x-1)/(5*x-1)/(129*x^2-40*x+3) lgdogf] A074573 8.40659 [-(129*x^2-40*x+3)/(6*x-1)/(9*x-1)/(5*x-1) ogf] A074574 4.9849 [(873*f(x)+27127)*(280*f(x)*x^3-131*f(x)*x^2+20*f(x)*x+131*x^2-f(x)-40*x+3) ogf] A074574 5.19260 [{-a(n+3)+20*a(n+2)-131*a(n+1)+280*a(n),a(0)=3,a(1)=20,a(2)=138} ogf] A074574 7.54480 [-4*(5-131*x-5600*x^3+1285*x^2+9170*x^4)/(-1+8*x)/(7*x-1)/(5*x-1)/(131*x^2-40*x+3) lgdogf] A074574 9.03061 [-(131*x^2-40*x+3)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A074575 4.46196 [-(5503*f(x)-18733)*(315*f(x)*x^3-143*f(x)*x^2+21*f(x)*x+143*x^2-f(x)-42*x+3) ogf] A074575 4.83379 [{-a(n+3)+21*a(n+2)-143*a(n+1)+315*a(n),a(0)=3,a(1)=21,a(2)=155} ogf] A074575 7.01576 [-(21-572*x-26460*x^3+5838*x^2+45045*x^4)/(9*x-1)/(7*x-1)/(5*x-1)/(143*x^2-42*x+3) lgdogf] A074575 8.40659 [-(143*x^2-42*x+3)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A074576 4.73983 [(47*f(x)+2643)*(360*f(x)*x^3-157*f(x)*x^2+22*f(x)*x+157*x^2-f(x)-44*x+3) ogf] A074576 4.85832 [{-a(n+3)+22*a(n+2)-157*a(n+1)+360*a(n),a(0)=3,a(1)=22,a(2)=170} ogf] A074576 6.80025 [-2*(11-314*x-15840*x^3+3347*x^2+28260*x^4)/(9*x-1)/(-1+8*x)/(5*x-1)/(157*x^2-44*x+3) lgdogf] A074576 8.44926 [-(157*x^2-44*x+3)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A074577 4.81622 [-(3383*f(x)-10439)*(336*f(x)*x^3-146*f(x)*x^2+21*f(x)*x+146*x^2-f(x)-42*x+3) ogf] A074577 5.21757 [{-a(n+3)+21*a(n+2)-146*a(n+1)+336*a(n),a(0)=3,a(1)=21,a(2)=149} ogf] A074577 7.48933 [-(21-584*x-28224*x^3+6090*x^2+49056*x^4)/(6*x-1)/(-1+8*x)/(7*x-1)/(146*x^2-42*x+3) lgdogf] A074577 9.07403 [-(146*x^2-42*x+3)/(6*x-1)/(8*x-1)/(7*x-1) ogf] A074578 4.51937 [-(314*f(x)-14657)*(378*f(x)*x^3-159*f(x)*x^2+22*f(x)*x+159*x^2-f(x)-44*x+3) ogf] A074578 4.85832 [{-a(n+3)+22*a(n+2)-159*a(n+1)+378*a(n),a(0)=3,a(1)=22,a(2)=166} ogf] A074578 6.88219 [-2*(11-318*x-16632*x^3+3450*x^2+30051*x^4)/(6*x-1)/(7*x-1)/(9*x-1)/(159*x^2-44*x+3) lgdogf] A074578 8.44926 [-(159*x^2-44*x+3)/(6*x-1)/(7*x-1)/(9*x-1) ogf] A074579 4.62698 [(1531*f(x)+55157)*(432*f(x)*x^3-174*f(x)*x^2+23*f(x)*x+174*x^2-f(x)-46*x+3) ogf] A074579 4.85832 [{-a(n+3)+23*a(n+2)-174*a(n+1)+432*a(n),a(0)=3,a(1)=23,a(2)=181} ogf] A074579 6.96611 [-(23-696*x-39744*x^3+7890*x^2+75168*x^4)/(6*x-1)/(-1+8*x)/(9*x-1)/(174*x^2-46*x+3) lgdogf] A074579 8.44926 [-(174*x^2-46*x+3)/(6*x-1)/(8*x-1)/(9*x-1) ogf] A074580 4.5422 [-(2929*f(x)-8977)*(504*f(x)*x^3-191*f(x)*x^2+24*f(x)*x+191*x^2-f(x)-48*x+3) ogf] A074580 4.88287 [{-a(n+3)+24*a(n+2)-191*a(n+1)+504*a(n),a(0)=3,a(1)=24,a(2)=194} ogf] A074580 6.91766 [-4*(6-191*x-12096*x^3+2280*x^2+24066*x^4)/(-1+8*x)/(7*x-1)/(9*x-1)/(191*x^2-48*x+3) lgdogf] A074580 8.49194 [-(191*x^2-48*x+3)/(8*x-1)/(7*x-1)/(9*x-1) ogf] A074581 10.2552 [x*(x-2)/(x^3-5*x^2+7*x-1) ogf] A074581 11.9878 [-(-13+20*x+2*x^3-11*x^2)/(x-2)/(x^3-5*x^2+7*x-1) lgdogf] A074581 5.12762 [-(103*f(x)+63)*(f(x)*x^3-5*f(x)*x^2+7*f(x)*x-x^2-f(x)+2*x) ogf] A074581 5.21918 [{a(n+3)-7*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=13} ogf] A074582 5.18601 [(583*f(x)-11543)*(f(x)*x^3-5*f(x)*x^2+7*f(x)*x+5*x^2-f(x)-14*x+3) ogf] A074582 5.41548 [{a(n+3)-7*a(n+2)+5*a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=39} ogf] A074582 9.67372 [-(7-20*x-28*x^3+44*x^2+5*x^4)/(5*x^2-14*x+3)/(x^3-5*x^2+7*x-1) lgdogf] A074582 9.87015 [-(5*x^2-14*x+3)/(x^3-5*x^2+7*x-1) ogf] A074584 5.45016 [-(-1+4*x^9+20*x^7-4*x+x^10-16*x^5+35*x^6+10*x^8-12*x^3-8*x^2-15*x^4)/(x^5+2*x^4+3*x^3+4*x^2+5*x-6)/(x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A074584 6.32736 [(x^5+2*x^4+3*x^3+4*x^2+5*x-6)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A074585 10.0299 [(x^2+2*x+3)/(x-1)/(x+1)/(x^3-x^2-x-1) ogf] A074585 9.64410 [-(1-2*x+6*x^5+3*x^6-20*x^3-19*x^2+7*x^4)/(x-1)/(x+1)/(x^2+2*x+3)/(x^3-x^2-x-1) lgdogf] A074600 13.2377 [-(7*x-2)/(5*x-1)/(2*x-1) ogf] A074600 14.9143 [-(7-40*x+70*x^2)/(7*x-2)/(2*x-1)/(5*x-1) lgdogf] A074600 6.6916 [-(9*f(x)+31)*(10*f(x)*x^2-7*f(x)*x+f(x)+7*x-2) ogf] A074600 7.33657 [{a(n+2)-7*a(n+1)+10*a(n),a(0)=2,a(1)=7} ogf] A074601 13.1708 [-2*(4*x-1)/(2*x-1)/(6*x-1) ogf] A074601 14.1353 [-4*(1-6*x+12*x^2)/(6*x-1)/(2*x-1)/(-1+4*x) lgdogf] A074601 6.6578 [-(13*f(x)+6)*(12*f(x)*x^2-8*f(x)*x+f(x)+8*x-2) ogf] A074601 7.29951 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=2,a(1)=8} ogf] A074602 12.6342 [-(9*x-2)/(7*x-1)/(2*x-1) ogf] A074602 13.8827 [-(9-56*x+126*x^2)/(2*x-1)/(7*x-1)/(9*x-2) lgdogf] A074602 6.31709 [-(25*f(x)+31)*(14*f(x)*x^2-9*f(x)*x+f(x)+9*x-2) ogf] A074602 7.00207 [{a(n+2)-9*a(n+1)+14*a(n),a(0)=2,a(1)=9} ogf] A074603 12.8567 [-2*(5*x-1)/(2*x-1)/(8*x-1) ogf] A074603 14.7595 [-(5-32*x+80*x^2)/(2*x-1)/(-1+8*x)/(5*x-1) lgdogf] A074603 6.42834 [-(378*f(x)-131)*(16*f(x)*x^2-10*f(x)*x+f(x)+10*x-2) ogf] A074603 7.26024 [{a(n+2)-10*a(n+1)+16*a(n),a(0)=2,a(1)=10} ogf] A074604 11.9618 [-(11*x-2)/(2*x-1)/(9*x-1) ogf] A074604 13.0788 [-(11-72*x+198*x^2)/(11*x-2)/(2*x-1)/(9*x-1) lgdogf] A074604 13.7168 [-1/2*(-2-11*x+(4+49*x^2)^(1/2))/(18*x+11) revogf] A074604 6.10814 [-(49*f(x)+23)*(18*f(x)*x^2-11*f(x)*x+f(x)+11*x-2) ogf] A074604 6.75489 [{a(n+2)-11*a(n+1)+18*a(n),a(0)=2,a(1)=11} ogf] A074605 13.0873 [-(7*x-2)/(3*x-1)/(4*x-1) ogf] A074605 14.3774 [-(7-48*x+84*x^2)/(7*x-2)/(3*x-1)/(-1+4*x) lgdogf] A074605 16.3742 [-1/2*(-2-7*x+(x^2+4)^(1/2))/(12*x+7) revogf] A074605 6.61555 [-(f(x)+47)*(12*f(x)*x^2-7*f(x)*x+f(x)+7*x-2) ogf] A074605 7.25318 [{a(n+2)-7*a(n+1)+12*a(n),a(0)=2,a(1)=7} ogf] A074606 13.2377 [-2*(4*x-1)/(5*x-1)/(3*x-1) ogf] A074606 13.8737 [-2*(2-15*x+30*x^2)/(-1+4*x)/(3*x-1)/(5*x-1) lgdogf] A074606 6.54769 [-(49*f(x)+414)*(15*f(x)*x^2-8*f(x)*x+f(x)+8*x-2) ogf] A074606 7.33657 [{a(n+2)-8*a(n+1)+15*a(n),a(0)=2,a(1)=8} ogf] A074607 10.7942 [1/6*ln(2*x+1)-1/3*arctanh((6*x+4)^(1/2))+1/3*arctanh(2) revegf] A074607 13.1708 [-(9*x-2)/(3*x-1)/(6*x-1) ogf] A074607 14.4800 [-9*(1-8*x+18*x^2)/(6*x-1)/(3*x-1)/(9*x-2) lgdogf] A074607 6.58543 [-(14*f(x)+53)*(18*f(x)*x^2-9*f(x)*x+f(x)+9*x-2) ogf] A074607 7.29951 [{a(n+2)-9*a(n+1)+18*a(n),a(0)=2,a(1)=9} ogf] A074608 12.1701 [-2*(5*x-1)/(7*x-1)/(3*x-1) ogf] A074608 13.9557 [-(5-42*x+105*x^2)/(3*x-1)/(7*x-1)/(5*x-1) lgdogf] A074608 6.28137 [-(4*f(x)+17)*(21*f(x)*x^2-10*f(x)*x+f(x)+10*x-2) ogf] A074608 6.87255 [{a(n+2)-10*a(n+1)+21*a(n),a(0)=2,a(1)=10} ogf] A074609 12.8567 [-(11*x-2)/(8*x-1)/(3*x-1) ogf] A074609 13.7531 [-(11-96*x+264*x^2)/(3*x-1)/(11*x-2)/(-1+8*x) lgdogf] A074609 6.56512 [-(25*f(x)+71)*(24*f(x)*x^2-11*f(x)*x+f(x)+11*x-2) ogf] A074609 7.26024 [{a(n+2)-11*a(n+1)+24*a(n),a(0)=2,a(1)=11} ogf] A074610 11.9618 [-2*(6*x-1)/(9*x-1)/(3*x-1) ogf] A074610 13.7168 [-6*(1-9*x+27*x^2)/(6*x-1)/(3*x-1)/(9*x-1) lgdogf] A074610 15.1997 [-1/3*(-1-6*x+(1+9*x^2)^(1/2))/(9*x+4) revogf] A074610 6.17382 [-(13*f(x)+6)*(27*f(x)*x^2-12*f(x)*x+f(x)+12*x-2) ogf] A074610 6.75489 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=2,a(1)=12} ogf] A074611 13.3049 [-(9*x-2)/(5*x-1)/(4*x-1) ogf] A074611 14.2777 [-(9-80*x+180*x^2)/(-1+4*x)/(5*x-1)/(9*x-2) lgdogf] A074611 6.72556 [-(f(x)+79)*(20*f(x)*x^2-9*f(x)*x+f(x)+9*x-2) ogf] A074611 7.37381 [{a(n+2)-9*a(n+1)+20*a(n),a(0)=2,a(1)=9} ogf] A074612 11.4212 [-2*(5*x-1)/(4*x-1)/(6*x-1) ogf] A074612 12.7675 [-(5-48*x+120*x^2)/(6*x-1)/(-1+4*x)/(5*x-1) lgdogf] A074612 5.89483 [-(f(x)+23)*(24*f(x)*x^2-10*f(x)*x+f(x)+10*x-2) ogf] A074612 6.44964 [{a(n+2)-10*a(n+1)+24*a(n),a(0)=2,a(1)=10} ogf] A074613 12.1701 [-(11*x-2)/(7*x-1)/(4*x-1) ogf] A074613 12.7152 [-(11-112*x+308*x^2)/(11*x-2)/(7*x-1)/(-1+4*x) lgdogf] A074613 6.21455 [-(9*f(x)+103)*(28*f(x)*x^2-11*f(x)*x+f(x)+11*x-2) ogf] A074613 6.87255 [{a(n+2)-11*a(n+1)+28*a(n),a(0)=2,a(1)=11} ogf] A074614 11.9618 [-(13*x-2)/(9*x-1)/(4*x-1) ogf] A074614 12.4975 [-(13-144*x+468*x^2)/(13*x-2)/(-1+4*x)/(9*x-1) lgdogf] A074614 13.7168 [-1/2*(-2-13*x+(4+25*x^2)^(1/2))/(36*x+13) revogf] A074614 6.04385 [-(25*f(x)+119)*(36*f(x)*x^2-13*f(x)*x+f(x)+13*x-2) ogf] A074614 6.75489 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=2,a(1)=13} ogf] A074615 11.4836 [-(11*x-2)/(6*x-1)/(5*x-1) ogf] A074615 12.2553 [-(11-120*x+330*x^2)/(6*x-1)/(5*x-1)/(11*x-2) lgdogf] A074615 5.86399 [-(f(x)+119)*(30*f(x)*x^2-11*f(x)*x+f(x)+11*x-2) ogf] A074615 6.48487 [{a(n+2)-11*a(n+1)+30*a(n),a(0)=2,a(1)=11} ogf] A074616 12.1701 [-2*(6*x-1)/(7*x-1)/(5*x-1) ogf] A074616 13.3066 [-2*(3-35*x+105*x^2)/(6*x-1)/(7*x-1)/(5*x-1) lgdogf] A074616 6.02235 [-(109*f(x)+2374)*(35*f(x)*x^2-12*f(x)*x+f(x)+12*x-2) ogf] A074616 6.87255 [{a(n+2)-12*a(n+1)+35*a(n),a(0)=2,a(1)=12} ogf] A074617 12.8567 [-(13*x-2)/(8*x-1)/(5*x-1) ogf] A074617 13.4475 [-(13-160*x+520*x^2)/(13*x-2)/(-1+8*x)/(5*x-1) lgdogf] A074617 6.56512 [-(9*f(x)+151)*(40*f(x)*x^2-13*f(x)*x+f(x)+13*x-2) ogf] A074617 7.26024 [{a(n+2)-13*a(n+1)+40*a(n),a(0)=2,a(1)=13} ogf] A074618 12.0231 [-2*(7*x-1)/(9*x-1)/(5*x-1) ogf] A074618 13.7886 [-(7-90*x+315*x^2)/(9*x-1)/(7*x-1)/(5*x-1) lgdogf] A074618 16.1524 [-(-1-7*x+(1+4*x^2)^(1/2))/(45*x+14) revogf] A074618 5.94959 [-(302*f(x)+1797)*(45*f(x)*x^2-14*f(x)*x+f(x)+14*x-2) ogf] A074618 6.78953 [{a(n+2)-14*a(n+1)+45*a(n),a(0)=2,a(1)=14} ogf] A074619 12.2950 [-(13*x-2)/(7*x-1)/(6*x-1) ogf] A074619 13.1404 [-(13-168*x+546*x^2)/(6*x-1)/(7*x-1)/(13*x-2) lgdogf] A074619 6.27829 [-(f(x)+167)*(42*f(x)*x^2-13*f(x)*x+f(x)+13*x-2) ogf] A074619 6.94305 [{a(n+2)-13*a(n+1)+42*a(n),a(0)=2,a(1)=13} ogf] A074620 12.9191 [-2*(7*x-1)/(8*x-1)/(6*x-1) ogf] A074620 14.4794 [-(7-96*x+336*x^2)/(6*x-1)/(-1+8*x)/(7*x-1) lgdogf] A074620 6.66792 [-(f(x)+47)*(48*f(x)*x^2-14*f(x)*x+f(x)+14*x-2) ogf] A074620 7.29548 [{a(n+2)-14*a(n+1)+48*a(n),a(0)=2,a(1)=14} ogf] A074621 12.0231 [-(15*x-2)/(9*x-1)/(6*x-1) ogf] A074621 12.8485 [-3*(5-72*x+270*x^2)/(6*x-1)/(9*x-1)/(15*x-2) lgdogf] A074621 14.4957 [-1/6*(-2-15*x+(4+9*x^2)^(1/2))/(18*x+5) revogf] A074621 6.07484 [-(38*f(x)+549)*(54*f(x)*x^2-15*f(x)*x+f(x)+15*x-2) ogf] A074621 6.78953 [{a(n+2)-15*a(n+1)+54*a(n),a(0)=2,a(1)=15} ogf] A074622 12.9815 [-(15*x-2)/(7*x-1)/(8*x-1) ogf] A074622 13.5806 [-(15-224*x+840*x^2)/(15*x-2)/(-1+8*x)/(7*x-1) lgdogf] A074622 6.62885 [-(f(x)+223)*(56*f(x)*x^2-15*f(x)*x+f(x)+15*x-2) ogf] A074622 7.33073 [{a(n+2)-15*a(n+1)+56*a(n),a(0)=2,a(1)=15} ogf] A074623 12.0845 [-2*(8*x-1)/(7*x-1)/(9*x-1) ogf] A074623 12.9154 [-2*(4-63*x+252*x^2)/(-1+8*x)/(7*x-1)/(9*x-1) lgdogf] A074623 5.97994 [-(193*f(x)+7806)*(63*f(x)*x^2-16*f(x)*x+f(x)+16*x-2) ogf] A074623 6.82418 [{a(n+2)-16*a(n+1)+63*a(n),a(0)=2,a(1)=16} ogf] A074624 12.1458 [-(17*x-2)/(8*x-1)/(9*x-1) ogf] A074624 12.4179 [-(17-288*x+1224*x^2)/(17*x-2)/(-1+8*x)/(9*x-1) lgdogf] A074624 15.0321 [-1/2*(-2-17*x+(x^2+4)^(1/2))/(72*x+17) revogf] A074624 6.20212 [-(f(x)+287)*(72*f(x)*x^2-17*f(x)*x+f(x)+17*x-2) ogf] A074624 6.85881 [{a(n+2)-17*a(n+1)+72*a(n),a(0)=2,a(1)=17} ogf] A074662 13.8640 [(x-2)/(x^2+1)/(x^2+x-1) ogf] A074662 15.3243 [-(-1-6*x^3-6*x^2+3*x^4)/(x-2)/(x^2+1)/(x^2+x-1) lgdogf] A074662 6.86722 [(670*f(x)-851)*(f(x)*x^4+f(x)*x^3+f(x)*x-f(x)-x+2) ogf] A074677 17.9077 [-x/(x^2+1)/(x^2+x-1) ogf] A074677 21.0061 [-(x+1)*(4*x^2-x+1)/(1+x^2)/(x^2+x-1) lgdogf] A074677 7.82374 [-(f(x)+1)*(f(x)*x^4+f(x)*x^3+f(x)*x-f(x)+x) ogf] A074678 10.2213 [(x+3)*(x-1)/(x^2+1)/(x^3+x^2+x-1) ogf] A074678 9.26257 [-(-1+2*x+10*x^5+3*x^6-4*x^3-19*x^2-7*x^4)/(x-1)/(x+3)/(1+x^2)/(x^3+x^2+x-1) lgdogf] A074701 16.5402 [-5*f(x)*x+10*x^2+f(x)+2*x-1 ogf] A074702 4.52941 [{(n^2+6*n+8)*a(n+1)+(n^2+9*n+18)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=43} ogf] A074703 3.08467 [{(n^2+6*n+9)*a(n+1)+(-n^2-8*n-17)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=10} ogf] A074742 11.0004 [-(3*x^3-7*x^2+5*x-2)/(x-1)^4 ogf] A074742 18.4807 [-(-3+x+3*x^3-5*x^2)/(x-1)/(3*x^3-7*x^2+5*x-2) lgdogf] A074742 4.27794 [{(287*n^2+1849*n+2550)*a(n+1)+(-634*n^2-3572*n-4320)*a(n+2)+(347*n^2+1543*n+1506)*a(n+3),a(0)=2,a(1)=3,a(2)=7} ogf] A074742 6.00732 [(83*f(x)+1240)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-7*x^2+f(x)+5*x-2) ogf] A074752 6.94372 [-(x^6-x-1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A074752 7.29595 [-(-2-4*x+x^10-7*x^5-10*x^6+3*x^9+4*x^8+3*x^7-7*x^3-7*x^2-4*x^4+6*x^11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x-1) lgdogf] A074764 14.6748 [-(x^3+x^2-2*x-1)/(x-1)^2 ogf] A074764 25.0889 [(x+1)*(x-2)^2/(x-1)/(x^3+x^2-2*x-1) lgdogf] A074764 7.85231 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=4,a(2)=6,a(3)=7} ogf] A074764 8.77611 [(3*f(x)+61)*(f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A074768 6.66920 [-16*a(n+1)+(4+14*n+4*n^2)*a(n+2)+(8+n^2+6*n)*a(n+3),a(0)=0,a(1)=1,a(2)=2 revegf] A074790 3.26499 [{(4*n^2+18*n+20)*a(n+1)+(4*n^2+26*n+41)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=101} ogf] A074825 6.91738 [-2*(2-14*x-24*x^7-106*x^5+72*x^6+3*x^8-72*x^3+41*x^2+100*x^4)/(3*x^4-12*x^3+21*x^2-16*x+5)/(2*x^5-3*x^4+6*x^3-7*x^2+4*x-1) lgdogf] A074825 8.33615 [-(3*x^4-12*x^3+21*x^2-16*x+5)/(2*x^5-3*x^4+6*x^3-7*x^2+4*x-1) ogf] A074826 6.43251 [-2*(3-30*x-160*x^7-642*x^5+420*x^6+30*x^8-360*x^3+135*x^2+605*x^4)/(15*x^4-40*x^3+45*x^2-24*x+5)/(4*x^5-15*x^4+20*x^3-15*x^2+6*x-1) lgdogf] A074826 7.90211 [-(15*x^4-40*x^3+45*x^2-24*x+5)/(4*x^5-15*x^4+20*x^3-15*x^2+6*x-1) ogf] A074837 10.3228 [6*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A074837 8.90043 [-(3+11*x+x^7+15*x^5+5*x^6+17*x^3+13*x^2+15*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A074842 10.6438 [-111*(810*x^10-900*x^9-1)/(x-1)^2 ogf] A074842 11.8299 [2*(1-7200*x^9+3240*x^10+4050*x^8)/(x-1)/(810*x^10-900*x^9-1) lgdogf] A074843 8.35169 [-101*(89910*x^10-99900*x^9-11)/(x-1)^2 ogf] A074843 8.40485 [2*(11-799200*x^9+359640*x^10+449550*x^8)/(x-1)/(89910*x^10-99900*x^9-11) lgdogf] A074872 10.3630 [{-a(n+2)+5*a(n),a(0)=1,a(1)=1} ogf] A074872 14.1224 [1/5*5^(1/2)*(-arcsinh(1/2)+arcsinh(5/2*x+1/2)) revegf] A074872 16.1764 [-(x+1)/(5*x^2-1) ogf] A074872 20.9558 [-(1+10*x+5*x^2)/(x+1)/(5*x^2-1) lgdogf] A074872 9.61208 [(30*f(x)-29)*(5*f(x)*x^2-f(x)+x+1) ogf] A074877 10.6661 [(8*x^2-14*x+15)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A074877 3.62150 [{(72*n+344)*a(n+1)+(-126*n-530)*a(n+2)+(63*n+247)*a(n+3)+(-9*n-34)*a(n+4),a(0)=15,a(1)=106,a(2)=541,a(3)=2432} ogf] A074877 5.08904 [(79332793551*f(x)+77036821712)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-8*x^2+f(x)+14*x-15) ogf] A074877 7.79397 [-2*(53-254*x-192*x^3+356*x^2+64*x^4)/(x-1)/(-1+4*x)/(2*x-1)/(8*x^2-14*x+15) lgdogf] A074878 3.14624 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A074878 5.77670 [(x^2-x+1)/(2*x-1)/(x^2+x-1) ogf] A074878 6.66695 [-2*(-1-2*x^3+4*x^2+x^4)/(2*x-1)/(x^2-x+1)/(x^2+x-1) lgdogf] A074878 7.29803 [-(f(x)-9)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1) ogf] A074922 4.33371 [{(-4*n^2-14*n-12)*a(n+1)+(n^2+3*n-4)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A074991 7.00186 [(41+33*x-412620*x^9+192000*x^10+205920*x^8+21360*x^7)/(x-1)/(24000*x^10-24660*x^9-2670*x^8-33*x-4) lgdogf] A074991 8.54151 [-(24000*x^10-24660*x^9-2670*x^8-33*x-4)/(x-1)^2 ogf] A074992 10.0121 [-(370*x^2-74*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A074992 5.46116 [(977801*f(x)-148187)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+370*x^2-f(x)-74*x+1) ogf] A074992 5.81349 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=37,a(2)=3367} ogf] A074993 5.05106 [(11+23*x+2520*x^11-5580*x^9-630*x^10+810*x^8+10*x^2+3240*x^7)/(x-1)/(x+1)/(360*x^10-45*x^9-405*x^8-5*x-6) lgdogf] A074993 6.14900 [-x*(360*x^10-45*x^9-405*x^8-5*x-6)/(x+1)/(x-1)^2 ogf] A075003 6.91522 [(10+22*x-810*x^12-8820*x^11+4950*x^9+990*x^10+x^3+11*x^2+4050*x^13)/(x-1)/(x+1)/(450*x^12-45*x^11-495*x^10-x^2-5*x-5) lgdogf] A075003 8.86630 [-(450*x^12-45*x^11-495*x^10-x^2-5*x-5)/(x+1)/(x-1)^2 ogf] A075004 7.13191 [(107-33*x+299700*x^11+310200*x^9-632940*x^10+29700*x^8)/(x-1)/(33300*x^11-33330*x^10-3300*x^9+33*x-70) lgdogf] A075004 8.83082 [-(33300*x^11-33330*x^10-3300*x^9+33*x-70)/(x-1)^2 ogf] A075045 7.07848 [-324+3375*x+(36+6075*x^2-1035*x)*f(x)+(3645*x^3-864*x^2+48*x)*f(x)^2+(16*x^2+729*x^4-216*x^3)*f(x)^3 lgdogf] A075091 12.4973 [-2*(3*x^2-2)/(x^2+x-1)/(x^2-x-1) ogf] A075091 14.4137 [-2*x*(3-4*x^2+3*x^4)/(-2+3*x^2)/(x^2+x-1)/(x^2-x-1) lgdogf] A075091 6.97216 [-(40*f(x)-79)*(f(x)*x^4-3*f(x)*x^2+6*x^2+f(x)-4) ogf] A075092 7.23449 [-2*x*(1-10*x^4-x^5+9*x^7+4*x^2+9*x+4*x^6+x^8-x^3)/(x^3+x^2+x-1)/(x^3-x^2-x-1)/(x^4+6*x^3+2*x^2-3) lgdogf] A075092 8.28285 [-2*(x^4+6*x^3+2*x^2-3)/(x^3+x^2+x-1)/(x^3-x^2-x-1) ogf] A075111 14.1488 [-x/(x^2+1)/(x^3+x^2+x-1) ogf] A075111 15.5143 [-(1+4*x^3+6*x^2+5*x^4)/(x^2+1)/(x^3+x^2+x-1) lgdogf] A075112 10.4929 [(x^3+2*x^2+3*x-4)/(x^2+1)/(x^4+x^3+x^2+x-1) ogf] A075112 8.89964 [-(-1+4*x-4*x^5+23*x^6+3*x^8-22*x^3-23*x^2+10*x^7+2*x^4)/(x^2+1)/(x^3+2*x^2+3*x-4)/(x^4+x^3+x^2+x-1) lgdogf] A075114 2.837 [-(283828363043*f(x)-1129367717587008)*(f(x)*x^3-117*x^4-35*f(x)*x^2+4091*x^3+35*f(x)*x-3951*x^2-f(x)-19*x+4) ogf] A075114 3.01656 [{-a(n+5)+35*a(n+4)-35*a(n+3)+a(n+2),a(0)=4,a(1)=121,a(2)=144,a(3)=4900,a(4)=166464} ogf] A075114 5.41610 [(117*x^4-4091*x^3+3951*x^2+19*x-4)/(x-1)/(x^2-34*x+1) ogf] A075115 11.5722 [-2*(1-4*x-8*x^3+11*x^2+2*x^4)/(2*x^2-4*x+3)/(2*x^3-2*x^2+2*x-1) lgdogf] A075115 12.1318 [-(2*x^2-4*x+3)/(2*x^3-2*x^2+2*x-1) ogf] A075115 6.43513 [-(3*f(x)-5)*(2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x+2*x^2-f(x)-4*x+3) ogf] A075115 6.66702 [{a(n+3)-2*a(n+2)+2*a(n+1)-2*a(n),a(0)=3,a(1)=2,a(2)=0} ogf] A075116 4.19208 [-(17453*f(x)+9341)*(f(x)*x^4-6*f(x)*x^3+8*f(x)*x^2+6*x^3-5*f(x)*x-16*x^2+f(x)+15*x-4) ogf] A075116 6.84201 [-(5-32*x-32*x^5+6*x^6-136*x^3+94*x^2+93*x^4)/(6*x^3-16*x^2+15*x-4)/(x^4-6*x^3+8*x^2-5*x+1) lgdogf] A075116 7.95966 [-(6*x^3-16*x^2+15*x-4)/(x^4-6*x^3+8*x^2-5*x+1) ogf] A075118 17.7908 [(x-2)/(3*x^2+x-1) ogf] A075118 23.1389 [-(-1-12*x+3*x^2)/(x-2)/(3*x^2+x-1) lgdogf] A075118 8.99534 [(104*f(x)-207)*(3*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A075118 9.76324 [{-a(n+2)+a(n+1)+3*a(n),a(0)=2,a(1)=1} ogf] A075122 5.70657 [-(5*x^23-4*x^22+19*x^21+18*x^20-38*x^19+x^16+3*x^15-4*x^14+4*x^7+x^6-4*x^5-x^4-1)/(x-1)^2 ogf] A075123 11.2196 [(2*x^5+2*x^4+2*x^3+x+1)/(x+1)/(x-1)^2 ogf] A075123 12.1075 [2*(-1-2*x+2*x^6-5*x^3-4*x^2-6*x^4)/(x-1)/(x+1)/(2*x^5+2*x^4+2*x^3+x+1) lgdogf] A075127 2.93644 [(2270626904344*f(x)-18069814612986795)*(f(x)*x^3-234*x^4-35*f(x)*x^2+8182*x^3+35*f(x)*x-7901*x^2-f(x)-72*x+9) ogf] A075127 3.08512 [{a(n+5)-35*a(n+4)+35*a(n+3)-a(n+2),a(0)=9,a(1)=243,a(2)=289,a(3)=9801,a(4)=332929} ogf] A075127 5.53919 [(234*x^4-8182*x^3+7901*x^2+72*x-9)/(x-1)/(x^2-34*x+1) ogf] A075128 4.89469 [-(1126*f(x)+155)*(3*f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x+4*x^2-f(x)-9*x+4) ogf] A075128 8.54151 [-(6*x^4+36*x^3-19*x^2-2*x+3)*(x-1)^2/(2*x^3+4*x^2-9*x+4)/(3*x^4-2*x^3-2*x^2+3*x-1) lgdogf] A075128 9.28084 [-(2*x^3+4*x^2-9*x+4)/(3*x^4-2*x^3-2*x^2+3*x-1) ogf] A075129 4.68814 [(3941*f(x)+6136)*(3*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2+10*x^3-5*f(x)*x-20*x^2+f(x)+15*x-4) ogf] A075129 6.87111 [-(5-40*x-120*x^5+30*x^6-248*x^3+140*x^2+235*x^4)/(10*x^3-20*x^2+15*x-4)/(3*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A075129 8.46152 [-(10*x^3-20*x^2+15*x-4)/(3*x^4-10*x^3+10*x^2-5*x+1) ogf] A075150 12.8800 [(x^2-7*x-4)/(x-1)/(x^2+3*x+1) ogf] A075150 14.4402 [-(1-14*x-14*x^3-24*x^2+x^4)/(x-1)/(x^2+3*x+1)/(x^2-7*x-4) lgdogf] A075150 6.83197 [(115*f(x)-187)*(f(x)*x^3+2*f(x)*x^2-2*f(x)*x-x^2-f(x)+7*x+4) ogf] A075150 7.01497 [{-a(n+3)-2*a(n+2)+2*a(n+1)+a(n),a(0)=4,a(1)=-1,a(2)=9} ogf] A075151 4.90292 [-(13625*f(x)-24121)*(f(x)*x^4-3*f(x)*x^3-6*f(x)*x^2+x^3+3*f(x)*x+24*x^2+f(x)-23*x-8) ogf] A075151 8.80567 [-(-1+48*x+48*x^5+x^6+100*x^3+135*x^2-135*x^4)/(x^2+x-1)/(x^2-4*x-1)/(x^3+24*x^2-23*x-8) lgdogf] A075151 9.37142 [-(x^3+24*x^2-23*x-8)/(x^2+x-1)/(x^2-4*x-1) ogf] A075155 5.03634 [(13625*f(x)-24121)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-x^3-3*f(x)*x+24*x^2+f(x)+23*x-8) ogf] A075155 6.95574 [-(-1-48*x-48*x^5+x^6-100*x^3+135*x^2-135*x^4)/(x^2+4*x-1)/(x^2-x-1)/(x^3-24*x^2-23*x+8) lgdogf] A075155 7.81889 [(x^3-24*x^2-23*x+8)/(x^2+4*x-1)/(x^2-x-1) ogf] A075156 6.51620 [-(7*x^4-28*x^3+39*x^2-24*x+5)/(2*x^5-7*x^4+14*x^3-13*x^2+6*x-1) ogf] A075183 2.96499 [{(-n^2-8*n-15)*a(n+1)+(3*n^2+34*n+89)*a(n+2)+(-3*n-9)*a(n+3),a(0)=1,a(1)=11,a(2)=105} ogf] A075183 5.60415 [1/2*(3*x^2+10*x+2)/(x-1)^6 egf] A075184 8.88256 [-10*(10+45*x+2*x^3+27*x^2)/(x-1)/(4*x^3+43*x^2+52*x+6) lgdegf] A075185 5.79800 [-2*(274+1858*x+15*x^4+486*x^3+2092*x^2)/(x-1)/(5*x^4+136*x^3+472*x^2+308*x+24) lgdegf] A075186 5.23556 [-14*(84+784*x+x^5+71*x^4+642*x^3+1388*x^2)/(x-1)/(2*x^5+123*x^4+944*x^3+1660*x^2+696*x+40) lgdegf] A075193 10.0525 [{-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=-3} ogf] A075193 13.0841 [-f(x)*x^2+f(x)*x+f(x)+2*x-1 ogf] A075193 18.3178 [(2*x-1)/(x^2-x-1) ogf] A075193 23.7636 [1/2/(-2+x)*(x-1+(5*x^2-10*x+1)^(1/2)) revogf] A075193 27.4767 [-(3-2*x+2*x^2)/(2*x-1)/(x^2-x-1) lgdogf] A075194 10.4523 [-(5*x^4-15*x^2+16*x-5)/(4*x^5-5*x^4+5*x^2-4*x+1) ogf] A075194 9.60798 [-4*(5*x^5+15*x^4-15*x^3+4*x^2-1+2*x)*(x-1)^3/(4*x^5-5*x^4+5*x^2-4*x+1)/(5*x^4-15*x^2+16*x-5) lgdogf] A075253 4.66001 [-(504*x^10+632*x^9-44*x^8-348*x^7-672*x^6-636*x^5+96*x^4+186*x^3+36*x^2+166*x+77)/(x-1)/(x+1)/(2*x^2-1)/(2*x^4-1) ogf] A075269 12.2548 [-(2*x^2+x+2)/(x-1)/(x^2+3*x+1) ogf] A075269 6.38923 [-(25*f(x)+22)*(f(x)*x^3+2*f(x)*x^2-2*f(x)*x+2*x^2-f(x)+x+2) ogf] A075269 6.61541 [{a(n+3)+2*a(n+2)-2*a(n+1)-a(n),a(0)=2,a(1)=-3,a(2)=12} ogf] A075270 11.3894 [-(2-14*x-4*x^5+3*x^6-3*x^2+12*x^3+3*x^4)/(x+1)/(3*x^2-5*x+3)/(x^2+x-1)/(x^2-x-1) lgdogf] A075270 13.1097 [(x+1)*(3*x^2-5*x+3)/(x^2+x-1)/(x^2-x-1) ogf] A075270 7.96384 [-(80*f(x)+99)*(f(x)*x^4-3*f(x)*x^2-3*x^3+2*x^2+f(x)+2*x-3) ogf] A075298 14.8502 [(3*x+1)*(x-1)/(x^3-x^2-x-1) ogf] A075298 18.2090 [-(x+1)*(3*x^3-7*x^2+9*x-1)/(x-1)/(3*x+1)/(x^3-x^2-x-1) lgdogf] A075298 7.87705 [(209*f(x)+131)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2-f(x)+2*x+1) ogf] A075298 8.08804 [{-a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=-5} ogf] A075328 16.2749 [(3*x+2)/(x+1)/(x-1)^2 ogf] A075328 24.8842 [-(5+9*x+6*x^2)/(x-1)/(3*x+2)/(1+x) lgdogf] A075328 7.70152 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=7} ogf] A075328 7.84156 [-(45*f(x)-146)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-3*x-2) ogf] A075374 3.29855 [{(-4-2*n)*a(n+1)+(2*n^2+7*n+4)*a(n+2)+(n^2+5*n+8)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=0} ogf] A075411 10.2502 [-4*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075411 5.59101 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=4,a(2)=484} ogf] A075411 5.73315 [(121*f(x)+4)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+40*x^2-f(x)+4*x) ogf] A075411 6.01041 [-(121-2220*x+20000*x^3-8100*x^2)/(-1+x)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075412 3.59513 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=9,a(2)=1089} ogf] A075412 3.717 [(121*f(x)+9)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+90*x^2-f(x)+9*x) ogf] A075412 6.52896 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075412 6.64555 [-9*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075413 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=16,a(2)=1936} ogf] A075413 3.64604 [(121*f(x)+16)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+160*x^2-f(x)+16*x) ogf] A075413 6.48781 [-16*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075413 6.56783 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075414 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=25,a(2)=3025} ogf] A075414 3.64604 [(121*f(x)+25)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+250*x^2-f(x)+25*x) ogf] A075414 6.48781 [-25*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075414 6.56783 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075415 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=36,a(2)=4356} ogf] A075415 5.10277 [(121*f(x)+36)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+360*x^2-f(x)+36*x) ogf] A075415 6.48781 [-36*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075415 6.56783 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075416 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=49,a(2)=5929} ogf] A075416 3.64604 [(121*f(x)+49)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+490*x^2-f(x)+49*x) ogf] A075416 6.48781 [-49*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075416 6.56783 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075417 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=64,a(2)=7744} ogf] A075417 3.64604 [(121*f(x)+64)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+640*x^2-f(x)+64*x) ogf] A075417 6.48781 [-64*x*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A075417 6.56783 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A075418 8.06884 [-(1-x+2*x^9+19*x^5+4*x^8+x^6+15*x^2-3*x^7+35*x^3+39*x^4)/(x-1)/(x+1)/(2*x^2+3*x+2)/(x^3+x^2+x-1)/(x^3-x^2-x-1) lgdogf] A075418 9.26273 [2*(x+1)*(2*x^2+3*x+2)*(x-1)^2/(x^3+x^2+x-1)/(x^3-x^2-x-1) ogf] A075419 12.6235 [-(x^2+2*x+3)/(x^2+1)/(x^3-x^2-x-1) ogf] A075419 12.6459 [-(-1-10*x+6*x^5+3*x^6-3*x^2-12*x^3+9*x^4)/(x^2+1)/(x^2+2*x+3)/(x^3-x^2-x-1) lgdogf] A075427 12.6513 [-2*(-1-3*x+6*x^4+4*x^3-3*x^2)/(x-1)/(2*x+1)/(1+x)/(2*x^2-1) lgdogf] A075427 15.5364 [(2*x+1)/(x-1)/(x+1)/(2*x^2-1) ogf] A075427 8.36574 [-(23*f(x)-29)*(2*f(x)*x^4-3*f(x)*x^2+f(x)-2*x-1) ogf] A075436 30.5369 [1/4*x*(2+3*x)/(1+2*x)^2 revogf] A075436 9.04927 [-16*f(x)^2*x^2+3*f(x)^2*x-16*f(x)*x+2*f(x)-4 ogf] A075495 12.5258 [-(-1+10*x-14*x^5+9*x^6+7*x^2+4*x^3+x^4)/(x-1)/(3*x+1)/(x^2+1)/(x^3-x^2-x-1) lgdogf] A075495 12.5548 [(3*x+1)*(x-1)/(x^2+1)/(x^3-x^2-x-1) ogf] A075506 14.3235 [-7*a(n)+(n+1)*a(n+1),a(0)=8,a(1)=7 lgdegf] A075507 14.8744 [8*a(n)+(-n-1)*a(n+1),a(0)=9,a(1)=8 lgdegf] A075508 12.9637 [-9*a(n)+(n+1)*a(n+1),a(0)=10,a(1)=9 lgdegf] A075509 12.5833 [10*a(n)+(-n-1)*a(n+1),a(0)=11,a(1)=10 lgdegf] A075510 6.21258 [-2*(15-340*x-8768*x^3+9600*x^4+2700*x^2)/(6*x-1)/(-1+4*x)/(2*x-1)/(8*x-1)/(-1+10*x) lgdogf] A075510 8.10734 [-1/(6*x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A075511 5.94604 [1/(-1+12*x)/(6*x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A075512 4.74606 [-1/(-1+12*x)/(6*x-1)/(4*x-1)/(14*x-1)/(2*x-1)/(8*x-1)/(10*x-1) ogf] A075515 6.18761 [-9*(5-170*x-9864*x^3+16200*x^4+2025*x^2)/(12*x-1)/(6*x-1)/(15*x-1)/(3*x-1)/(9*x-1) lgdogf] A075515 7.73842 [-1/(-1+12*x)/(6*x-1)/(15*x-1)/(3*x-1)/(9*x-1) ogf] A075516 5.44688 [1/(-1+12*x)/(6*x-1)/(15*x-1)/(3*x-1)/(9*x-1)/(18*x-1) ogf] A075528 13.2618 [-3*x/(x-1)/(x^2-34*x+1) ogf] A075528 15.2096 [-(35-70*x+3*x^2)/(x-1)/(x^2-34*x+1) lgdogf] A075528 5.42005 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=105} ogf] A075528 7.88996 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+3*x ogf] A075529 3.24966 [(2*f(x)*x-f(x)+1)^3 ogf] A075536 7.44401 [-(-1-14*x-16*x^7-20*x^5-3*x^8-6*x^6-6*x^2+2*x^9)/(x^3-x^2+x+1)/(x^3+x^2+x-1)/(x^4-x^3-4*x^2-x-1) lgdogf] A075536 8.53284 [x*(x^4-x^3-4*x^2-x-1)/(x^3-x^2+x+1)/(x^3+x^2+x-1) ogf] A075543 5.71877 [(x^10-x^9+8*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A075553 10.9574 [(f(x)-1)*(f(x)*x^4-x^3+x^2+f(x)-x) ogf] A075553 16.3328 [x*(x^2-x+1)/(x^4+1) ogf] A075553 17.6297 [x^7-x^5-x^3+x^2+x-1 ogf_with_Euler_transform] A075553 26.2314 [-(1-2*x+2*x^5+4*x^3-3*x^4)/(x^2-x+1)/(1+x^4) lgdogf] A075554 5.08435 [-(16*x^11-16*x^10-16*x^9-24*x^8-8*x^7+4*x^6+12*x^5+22*x^4+x^3+12*x^2+4*x+2)/(x-1)/(x+1)/(x^2+1)/(2*x^2-1)^2/(2*x^2+1)^2 ogf] A075561 11.3389 [-(x^2-x+1)*(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A075561 28.4231 [-x^5+3*x^2+1 ogf_with_Euler_transform] A075567 8.23359 [2*(3-8*x-21*x^7+30*x^8-24*x^9+7*x^6-3*x^3+9*x^2+8*x^10)/(x-1)/(2*x^10-4*x^9+4*x^8-2*x^7-6*x^3+2*x^2+12*x-9) lgdogf] A075567 9.45369 [-(2*x^10-4*x^9+4*x^8-2*x^7-6*x^3+2*x^2+12*x-9)/(x-1)^2 ogf] A075664 5.55835 [(x^6+27*x^5+153*x^4+268*x^3+153*x^2+27*x+1)/(x-1)^8 ogf] A075664 7.98050 [-(35+495*x+2*x^6+87*x^5+1952*x^3+747*x^4+1722*x^2)/(x-1)/(x^6+27*x^5+153*x^4+268*x^3+153*x^2+27*x+1) lgdogf] A075676 6.70358 [-(-1-6*x+3*x^8+2*x^9-4*x^6+24*x^7-8*x^3-6*x^4-12*x^5)/(x^3-x^2+x+1)/(x^3+x^2+x-1)/(x^4+x^3+6*x^2-x-3) lgdogf] A075676 8.53293 [(x^4+x^3+6*x^2-x-3)/(x^3-x^2+x+1)/(x^3+x^2+x-1) ogf] A075681 14.3866 [-3*(7+5*x+x^3-9*x^2)/(x-1)/(x^4-x^3-12*x^2+13*x+2) lgdogf] A075681 7.64957 [x^2*(x^4-x^3-12*x^2+13*x+2)/(x-1)^4 ogf] A075682 13.5370 [(-19-2*x+x^4-4*x^3+15*x^2)/(x-1)/(x^4-x^3-12*x^2+13*x+2) lgdogf] A075682 9.27177 [-x*(x^4-x^3-12*x^2+13*x+2)/(x-1)^3 ogf] A075690 5.94362 [x^2*(x^6-14*x^5+32*x^4+61*x^3-84*x^2-38*x-2)/(x-1)^5 ogf] A075690 8.20176 [(48+320*x+38*x^4-250*x^3+x^6-6*x^5+69*x^2)/(x-1)/(x^6-14*x^5+32*x^4+61*x^3-84*x^2-38*x-2) lgdogf] A075701 9.77496 [-(3*x^8+12*x^7+24*x^6-6*x^5+7*x^4-2*x^3+3*x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A075796 11.0301 [2*(x+1)/(x^2-18*x+1) ogf] A075796 13.0604 [-(-1-9*x+(1+20*x+80*x^2)^(1/2))/(-2+x) revogf] A075796 15.0392 [-(-19+2*x+x^2)/(x+1)/(x^2-18*x+1) lgdogf] A075796 6.04029 [{-a(n+2)+18*a(n+1)-a(n),a(0)=2,a(1)=38} ogf] A075796 8.33706 [(170*f(x)+21)*(f(x)*x^2-18*f(x)*x+f(x)-2*x-2) ogf] A075835 13.4630 [3*x/(x^2-11*x+1) ogf] A075835 21.8663 [-(-11+2*x)/(x^2+1-11*x) lgdogf] A075835 6.23896 [{a(n+2)-11*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A075835 8.5266 [-f(x)*x^2+11*f(x)*x-f(x)+3*x ogf] A075835 9.48914 [-1/2*(-3-11*x+(3*x+1)^(1/2)*(13*x+3)^(1/2)*3^(1/2))/x revogf] A075836 5.90128 [-2*(-1-9*x+24*x^6+3*x^8+18*x^7-60*x^2-78*x^3-171*x^4+3*x^5+x^9)/(x^4+2*x^3+9*x^2+2*x+1)/(x^6-38*x^3+1) lgdogf] A075836 7.74161 [2*x*(x^4+2*x^3+9*x^2+2*x+1)/(x^6-38*x^3+1) ogf] A075839 14.3890 [-(x-1)/(x^2-20*x+1) ogf] A075839 15.1240 [-1/2*(-1-20*x+(1+36*x+396*x^2)^(1/2))/(x+1) revogf] A075839 20.3229 [-(19-2*x+x^2)/(x-1)/(x^2-20*x+1) lgdogf] A075839 7.11715 [-(378*f(x)-17)*(f(x)*x^2-20*f(x)*x+f(x)+x-1) ogf] A075839 7.87970 [{a(n+2)-20*a(n+1)+a(n),a(0)=1,a(1)=19} ogf] A075841 12.4489 [-3*(x-1)/(x^2-6*x+1) ogf] A075841 13.3712 [-1/2*(-3-6*x+(9+24*x+32*x^2)^(1/2))/(x+3) revogf] A075841 18.2740 [-(5-2*x+x^2)/(x-1)/(x^2+1-6*x) lgdogf] A075841 6.22447 [-(28*f(x)-9)*(f(x)*x^2-6*f(x)*x+f(x)+3*x-3) ogf] A075841 6.74942 [{a(n+2)-6*a(n+1)+a(n),a(0)=3,a(1)=15} ogf] A075843 11.2097 [-1/2*(-1-20*x+(18*x+1)^(1/2)*(22*x+1)^(1/2))/x revogf] A075843 15.4160 [x/(x^2-20*x+1) ogf] A075843 22.4193 [-2*(-10+x)/(x^2+1-20*x) lgdogf] A075843 6.39200 [{a(n+2)-20*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A075843 8.73574 [-f(x)*x^2+20*f(x)*x-f(x)+x ogf] A075844 11.1594 [-(-10*x-3+(3+11*x)^(1/2)*(3*x+1)^(1/2)*3^(1/2))/x revogf] A075844 14.6134 [6*x/(x^2-20*x+1) ogf] A075844 23.7743 [-2*(-10+x)/(x^2+1-20*x) lgdogf] A075844 6.77206 [{a(n+2)-20*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A075844 9.25516 [-f(x)*x^2+20*f(x)*x-f(x)+6*x ogf] A075848 10.0624 [-f(x)*x^2+6*f(x)*x-f(x)+6*x ogf] A075848 14.9884 [-(-3*x-3+(4*x+3)^(1/2)*(3+2*x)^(1/2))/x revogf] A075848 16.0454 [6*x/(x^2-6*x+1) ogf] A075848 29.2274 [-2*(x-3)/(x^2+1-6*x) lgdogf] A075848 7.32940 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A075852 19.2734 [-(f(x)-1)^3 ogf] A075858 10.7207 [-(211-530*x+400*x^2)/(20*x-11)/(x-1)/(10*x-1) lgdogf] A075858 11.8268 [(20*x-11)/(x-1)/(10*x-1)^2 ogf] A075858 5.54383 [-(202498623*f(x)+7417405)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-f(x)-20*x+11) ogf] A075858 5.76919 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=11,a(1)=211,a(2)=3111} ogf] A075864 11.9007 [x*(-1-x^4+x^12)/(-1-x-x^2-2*x^4-x^5-x^6-2*x^8+x^13+x^14) revogf] A075869 11.0904 [-3*(x-1)/(x^2-18*x+1) ogf] A075869 11.6062 [-1/2*(-3-18*x+(9+96*x+320*x^2)^(1/2))/(x+3) revogf] A075869 15.5958 [-(17-2*x+x^2)/(x-1)/(x^2-18*x+1) lgdogf] A075869 5.48555 [-(304*f(x)-45)*(f(x)*x^2-18*f(x)*x+f(x)+3*x-3) ogf] A075869 6.07330 [{a(n+2)-18*a(n+1)+a(n),a(0)=3,a(1)=51} ogf] A075870 15.4066 [-(-1-3*x+(1+4*x+8*x^2)^(1/2))/(x+2) revogf] A075870 16.5833 [-2*(x-1)/(x^2-6*x+1) ogf] A075870 17.9744 [-(5-2*x+x^2)/(x-1)/(x^2+1-6*x) lgdogf] A075870 8.29164 [-(14*f(x)-3)*(f(x)*x^2-6*f(x)*x+f(x)+2*x-2) ogf] A075870 8.99093 [{a(n+2)-6*a(n+1)+a(n),a(0)=2,a(1)=10} ogf] A075871 12.8387 [180*x/(x^2-1298*x+1) ogf] A075871 16.5086 [-2*(-649+x)/(x^2+1-1298*x) lgdogf] A075871 6.27006 [{a(n+2)-1298*a(n+1)+a(n),a(0)=0,a(1)=180} ogf] A075871 7.94859 [-(-649*x-90+6*(36*x+5)^(1/2)*(65*x+9)^(1/2)*5^(1/2))/x revogf] A075871 8.42539 [-f(x)*x^2+1298*f(x)*x-f(x)+180*x ogf] A075873 6.22872 [-2*(-1-9*x-171*x^4-78*x^3+18*x^7+3*x^8+x^9+3*x^5+24*x^6-60*x^2)/(x^4+2*x^3+9*x^2+2*x+1)/(x^6-38*x^3+1) lgdogf] A075873 8.27056 [x*(x^4+2*x^3+9*x^2+2*x+1)/(x^6-38*x^3+1) ogf] A075876 3.24095 [2*x*(x+1)*(2*x-1)^2/(x-1)/(4*x-1) ogf] A075878 2.69198 [-(189*f(x)-131)*(64*f(x)*x^2-20*f(x)*x+f(x)+40*x-4) ogf] A075878 3.04036 [{a(n+2)-20*a(n+1)+64*a(n),a(0)=4,a(1)=40} ogf] A075878 5.38398 [-4*(10*x-1)/(16*x-1)/(4*x-1) ogf] A075878 5.52202 [-2*(5-64*x+320*x^2)/(4*x-1)/(16*x-1)/(10*x-1) lgdogf] A075884 7.56162 [-(4+10*x+36*x^5+38*x^4+32*x^3+5*x^6+16*x^7+6*x^8+3*x^2+2*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+2*x^5+4*x^4+x^3+5*x^2+4*x+2) lgdogf] A075884 9.96221 [(x^6+2*x^5+4*x^4+x^3+5*x^2+4*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A075886 10.2324 [-6*(1-8*x^2-8*x^3+16*x^4)/(4*x^2-x-1)/(24*x^3-4*x^2-5*x+1) lgdogf] A075886 5.31442 [{-a(n+3)+5*a(n+2)+4*a(n+1)-24*a(n),a(0)=1,a(1)=6,a(2)=30} ogf] A075886 5.40932 [(f(x)-1)*(24*f(x)*x^3-4*f(x)*x^2-5*f(x)*x+4*x^2+f(x)-x-1) ogf] A075886 9.77168 [-(4*x^2-x-1)/(24*x^3-4*x^2-5*x+1) ogf] A075906 5.04072 [-1/(-1+12*x)/(6*x-1)/(15*x-1)/(3*x-1)/(9*x-1)/(18*x-1)/(21*x-1) ogf] A075907 3.71008 [(28342193*f(x)+5605632)*(6144*f(x)*x^4-3200*f(x)*x^3+560*f(x)*x^2-40*f(x)*x+f(x)-1) ogf] A075907 7.64563 [-8*(-5+140*x+3072*x^3-1200*x^2)/(16*x-1)/(8*x-1)/(12*x-1)/(-1+4*x) lgdogf] A075907 8.89141 [1/(16*x-1)/(8*x-1)/(-1+12*x)/(4*x-1) ogf] A075908 5.32482 [-4*(15-680*x+153600*x^4-70144*x^3+10800*x^2)/(12*x-1)/(4*x-1)/(20*x-1)/(-1+8*x)/(-1+16*x) lgdogf] A075908 6.92487 [-1/(-1+12*x)/(4*x-1)/(20*x-1)/(8*x-1)/(16*x-1) ogf] A075909 5.74709 [1/(-1+12*x)/(4*x-1)/(20*x-1)/(24*x-1)/(8*x-1)/(16*x-1) ogf] A075910 5.10953 [-1/(-1+12*x)/(28*x-1)/(4*x-1)/(20*x-1)/(24*x-1)/(8*x-1)/(16*x-1) ogf] A075911 10.4876 [-10*(3-55*x+225*x^2)/(15*x-1)/(5*x-1)/(10*x-1) lgdogf] A075911 17.1058 [-1/(15*x-1)/(5*x-1)/(10*x-1) ogf] A075911 5.98702 [{a(n+3)-30*a(n+2)+275*a(n+1)-750*a(n),a(0)=1,a(1)=30,a(2)=625} ogf] A075911 6.41467 [(22631*f(x)-10476)*(750*f(x)*x^3-275*f(x)*x^2+30*f(x)*x-f(x)+1) ogf] A075912 10.6125 [1/(15*x-1)/(20*x-1)/(5*x-1)/(10*x-1) ogf] A075912 4.47243 [(28342193*f(x)+5605632)*(15000*f(x)*x^4-6250*f(x)*x^3+875*f(x)*x^2-50*f(x)*x+f(x)-1) ogf] A075912 7.16592 [-50*(-1+35*x+1200*x^3-375*x^2)/(15*x-1)/(20*x-1)/(5*x-1)/(10*x-1) lgdogf] A075913 5.82546 [-25*(3-170*x+3375*x^2-27400*x^3+75000*x^4)/(15*x-1)/(25*x-1)/(20*x-1)/(5*x-1)/(10*x-1) lgdogf] A075913 9.49724 [-1/(15*x-1)/(25*x-1)/(20*x-1)/(5*x-1)/(10*x-1) ogf] A075914 6.70788 [1/(15*x-1)/(25*x-1)/(20*x-1)/(30*x-1)/(5*x-1)/(10*x-1) ogf] A075915 6.10996 [-1/(15*x-1)/(25*x-1)/(20*x-1)/(35*x-1)/(30*x-1)/(5*x-1)/(10*x-1) ogf] A075916 10.9698 [-36*(1-22*x+108*x^2)/(6*x-1)/(18*x-1)/(12*x-1) lgdogf] A075916 11.9931 [-1/(6*x-1)/(18*x-1)/(-1+12*x) ogf] A075916 4.26200 [{a(n+3)-36*a(n+2)+396*a(n+1)-1296*a(n),a(0)=1,a(1)=36,a(2)=900} ogf] A075916 4.56373 [(22631*f(x)-10476)*(1296*f(x)*x^3-396*f(x)*x^2+36*f(x)*x-f(x)+1) ogf] A075917 3.48995 [(28342193*f(x)+5605632)*(31104*f(x)*x^4-10800*f(x)*x^3+1260*f(x)*x^2-60*f(x)*x+f(x)-1) ogf] A075917 7.12854 [-12*(-5+210*x+10368*x^3-2700*x^2)/(6*x-1)/(18*x-1)/(12*x-1)/(24*x-1) lgdogf] A075917 8.12415 [1/(6*x-1)/(18*x-1)/(-1+12*x)/(24*x-1) ogf] A075918 5.97002 [-18*(5-340*x+8100*x^2-78912*x^3+259200*x^4)/(-1+12*x)/(6*x-1)/(24*x-1)/(30*x-1)/(18*x-1) lgdogf] A075918 7.55203 [-1/(-1+12*x)/(6*x-1)/(24*x-1)/(30*x-1)/(18*x-1) ogf] A075919 5.11144 [1/(-1+12*x)/(6*x-1)/(36*x-1)/(24*x-1)/(30*x-1)/(18*x-1) ogf] A075921 11.5062 [-1/196*(-1-21*x+(1+42*x+49*x^2)^(1/2))/x revogf] A075921 13.4669 [1/(14*x-1)/(7*x-1) ogf] A075921 15.8707 [-7*(-3+28*x)/(14*x-1)/(7*x-1) lgdogf] A075921 5.54518 [(31*f(x)+50)*(98*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A075921 5.54518 [{-a(n+2)+21*a(n+1)-98*a(n),a(0)=1,a(1)=21} ogf] A075922 11.5123 [-14*(3-77*x+441*x^2)/(21*x-1)/(7*x-1)/(14*x-1) lgdogf] A075922 12.5734 [-1/(21*x-1)/(7*x-1)/(14*x-1) ogf] A075922 4.43160 [{a(n+3)-42*a(n+2)+539*a(n+1)-2058*a(n),a(0)=1,a(1)=42,a(2)=1225} ogf] A075922 4.78456 [(22631*f(x)-10476)*(2058*f(x)*x^3-539*f(x)*x^2+42*f(x)*x-f(x)+1) ogf] A075923 3.64252 [(28342193*f(x)+5605632)*(57624*f(x)*x^4-17150*f(x)*x^3+1715*f(x)*x^2-70*f(x)*x+f(x)-1) ogf] A075923 7.44714 [-14*(-5+245*x-3675*x^2+16464*x^3)/(21*x-1)/(28*x-1)/(7*x-1)/(14*x-1) lgdogf] A075923 8.47931 [1/(21*x-1)/(28*x-1)/(7*x-1)/(14*x-1) ogf] A075924 5.98152 [-7*(15-1190*x+1440600*x^4-375928*x^3+33075*x^2)/(28*x-1)/(14*x-1)/(35*x-1)/(7*x-1)/(21*x-1) lgdogf] A075924 7.60479 [-1/(28*x-1)/(14*x-1)/(35*x-1)/(7*x-1)/(21*x-1) ogf] A075925 5.27812 [1/(28*x-1)/(14*x-1)/(42*x-1)/(35*x-1)/(7*x-1)/(21*x-1) ogf] A076003 11.2730 [-1/(16*x-1)/(8*x-1)/(24*x-1) ogf] A076003 3.97329 [{a(n+3)-48*a(n+2)+704*a(n+1)-3072*a(n),a(0)=1,a(1)=48,a(2)=1600} ogf] A076003 4.28974 [(22631*f(x)-10476)*(3072*f(x)*x^3-704*f(x)*x^2+48*f(x)*x-f(x)+1) ogf] A076003 9.67161 [-16*(3-88*x+576*x^2)/(-1+16*x)/(-1+8*x)/(-1+24*x) lgdogf] A076004 3.75694 [(28342193*f(x)+5605632)*(98304*f(x)*x^4-25600*f(x)*x^3+2240*f(x)*x^2-80*f(x)*x+f(x)-1) ogf] A076004 7.57469 [-16*(-5+280*x-4800*x^2+24576*x^3)/(16*x-1)/(-1+8*x)/(32*x-1)/(24*x-1) lgdogf] A076004 8.74567 [1/(16*x-1)/(8*x-1)/(32*x-1)/(24*x-1) ogf] A076005 5.24912 [-8*(15-1360*x-561152*x^3+2457600*x^4+43200*x^2)/(24*x-1)/(8*x-1)/(40*x-1)/(16*x-1)/(32*x-1) lgdogf] A076005 6.50968 [-1/(24*x-1)/(8*x-1)/(40*x-1)/(16*x-1)/(32*x-1) ogf] A076006 5.33254 [1/(48*x-1)/(24*x-1)/(8*x-1)/(40*x-1)/(16*x-1)/(32*x-1) ogf] A076008 12.4073 [-1/324*(-1-27*x+(1+54*x+81*x^2)^(1/2))/x revogf] A076008 14.0940 [1/(18*x-1)/(9*x-1) ogf] A076008 17.1136 [-27*(12*x-1)/(18*x-1)/(9*x-1) lgdogf] A076008 5.89981 [(31*f(x)+50)*(162*f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A076008 5.89981 [{-a(n+2)+27*a(n+1)-162*a(n),a(0)=1,a(1)=27} ogf] A076009 10.5967 [-54*(1-33*x+243*x^2)/(18*x-1)/(27*x-1)/(9*x-1) lgdogf] A076009 11.5879 [-1/(18*x-1)/(27*x-1)/(9*x-1) ogf] A076009 4.08427 [{a(n+3)-54*a(n+2)+891*a(n+1)-4374*a(n),a(0)=1,a(1)=54,a(2)=2025} ogf] A076009 4.40957 [(22631*f(x)-10476)*(4374*f(x)*x^3-891*f(x)*x^2+54*f(x)*x-f(x)+1) ogf] A076010 3.80642 [(28342193*f(x)+5605632)*(157464*f(x)*x^4-36450*f(x)*x^3+2835*f(x)*x^2-90*f(x)*x+f(x)-1) ogf] A076010 7.84538 [-18*(-5+315*x+34992*x^3-6075*x^2)/(36*x-1)/(18*x-1)/(27*x-1)/(9*x-1) lgdogf] A076010 8.77932 [1/(36*x-1)/(18*x-1)/(27*x-1)/(9*x-1) ogf] A076011 6.68561 [-1/(45*x-1)/(36*x-1)/(9*x-1)/(18*x-1)/(27*x-1) ogf] A076012 4.53400 [1/(45*x-1)/(36*x-1)/(9*x-1)/(18*x-1)/(27*x-1)/(54*x-1) ogf] A076024 13.4107 [x*(3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A076024 6.94480 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A076024 9.04439 [8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-3*x^2-f(x)+x ogf] A076025 11.0562 [-1/2*(5-20*x+(-(-1+4*x)*(-7+24*x)^2)^(1/2))/(-1+4*x)/(16*x-3)/(9*x-2) lgdogf] A076025 9.81961 [-16*f(x)^2*x+3*f(x)^2+24*f(x)*x-5*f(x)-9*x+2 ogf] A076026 10.4169 [-1/2*(11-44*x+(-(-1+4*x)*(-13+40*x)^2)^(1/2))/(25*x-4)/(-1+4*x)/(16*x-3) lgdogf] A076026 9.53416 [-25*f(x)^2*x+4*f(x)^2+40*f(x)*x-7*f(x)-16*x+3 ogf] A076027 6.05230 [(-2+2*x+4*x^7-3*x^2-4*x^3+6*x^4+4*x^5+20*x^23-61*x^22+62*x^21-21*x^20-10*x^6)/(x-1)/(x^23-2*x^22+x^21+x^7-x^6-x^5+x^4+x^3-x+1) lgdogf] A076027 6.48662 [-(x^23-2*x^22+x^21+x^7-x^6-x^5+x^4+x^3-x+1)/(x-1)^3 ogf] A076032 13.2568 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+1 ogf] A076032 18.1267 [(x^2+1)/(x-1)^2 ogf] A076032 30.5162 [[-x^3+x+2] ogf_with_Euler_transform] A076032 39.6112 [-2*(1+x)/(x-1)/(1+x^2) lgdogf] A076032 8.70790 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A076035 13.45 [-16*f(x)^2*x+3*f(x)^2-2*f(x)-1 ogf] A076035 22.4390 [(-1-8*x+2*(1+4*x+16*x^2)^(1/2))*x revogf] A076035 4.85934 [{(64*n+96)*a(n+1)+(-28*n-66)*a(n+2)+(3*n+9)*a(n+3),a(0)=1,a(1)=4,a(2)=20} ogf] A076036 13.2699 [-25*f(x)^2*x+4*f(x)^2-3*f(x)-1 ogf] A076036 19.2255 [1/2*(-3-25*x+5*(1+6*x+25*x^2)^(1/2))*x revogf] A076036 4.70323 [{(100*n+150)*a(n+1)+(-41*n-99)*a(n+2)+(4*n+12)*a(n+3),a(0)=1,a(1)=5,a(2)=30} ogf] A076040 11.3399 [3*f(x)*x^2+4*f(x)*x+f(x)+x ogf] A076040 20.2744 [-x/(x+1)/(3*x+1) ogf] A076040 6.82027 [-2*(-2+3*x)/(-1+3*x)/(-1+x) lgdogf] A076040 8.25995 [{-a(n+2)-4*a(n+1)-3*a(n),a(0)=0,a(1)=-1} ogf] A076049 6.91521 [-2*(-4-17*x+x^7+13*x^2+35*x^3-6*x^4-11*x^5+x^6)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3+x^2-5*x-3) lgdogf] A076049 7.33833 [x*(x^3+x^2-5*x-3)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A076086 4.91960 [-(2048*x^11+1024*x^10+2048*x^9+1024*x^8+512*x^7-64*x^6-32*x^5+16*x^4+8*x^3+4*x^2+2*x+1)/(96*x^5-1) ogf] A076095 8.17544 [-(x^8-2*x^7+2*x^6-2*x^5+x^4+x^3-x+1)/(x-1)^3 ogf] A076095 8.43503 [(-2+2*x+20*x^6-16*x^5-3*x^2-4*x^3+11*x^4+5*x^8-16*x^7)/(x-1)/(x^8-2*x^7+2*x^6-2*x^5+x^4+x^3-x+1) lgdogf] A076118 14.4528 [-x*(x-1)/(x^2-x+1)^2 ogf] A076118 28.3846 [2*x^5-2*x^2-2*x+1 ogf_with_Euler_transform] A076118 36.5577 [-(1-5*x+3*x^2)/(x-1)/(x^2-x+1) lgdogf] A076118 4.81760 [{(-3-n)*a(n+4)+(5+2*n)*a(n+3)+(-7-2*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=-1} ogf] A076118 7.51545 [(f(x)+5)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A076119 7.67126 [-(12*x^9+14*x^8+8*x^7+7*x^6+3*x^5+2*x^4+10*x^3+13*x^2+18*x+20)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A076139 15.6420 [-3*(5-10*x+x^2)/(x-1)/(x^2-14*x+1) lgdogf] A076139 16.0237 [-x/(x-1)/(x^2-14*x+1) ogf] A076139 6.04402 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=15} ogf] A076139 8.72175 [f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+x ogf] A076140 14.1660 [-3*(5-10*x+x^2)/(x-1)/(x^2-14*x+1) lgdogf] A076140 15.1061 [-3*x/(x-1)/(x^2-14*x+1) ogf] A076140 6.22796 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=45} ogf] A076140 8.9872 [f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+3*x ogf] A076148 10.6439 [(x^2+x-1)/(3*x-1)/(x+1)^2 ogf] A076148 15.5950 [-x*(-8+3*x+3*x^2)/(3*x-1)/(x+1)/(x^2+x-1) lgdogf] A076148 5.5494 [(1561*f(x)+2535)*(3*f(x)*x^3+5*f(x)*x^2+f(x)*x-x^2-f(x)-x+1) ogf] A076148 5.84937 [{-a(n+3)+a(n+2)+5*a(n+1)+3*a(n),a(0)=1,a(1)=0,a(2)=4} ogf] A076149 10.9746 [-x*(2*x+3)/(3*x-1)/(x+1)^2 ogf] A076149 16.2048 [-(5+25*x+12*x^2)/(2*x+3)/(3*x-1)/(x+1) lgdogf] A076149 5.63563 [{-a(n+3)+a(n+2)+5*a(n+1)+3*a(n),a(0)=0,a(1)=3,a(2)=5} ogf] A076149 5.8463 [(5*f(x)+9)*(3*f(x)*x^3+5*f(x)*x^2+f(x)*x+2*x^2-f(x)+3*x) ogf] A076151 20.1866 [(-3*x+(1+3*x)^(4/3)-1)/(1+3*x)^2 revegf] A076151 4.79785 [{(-27*n^3-270*n^2-897*n-990)*a(n+1)+(4*n^2+34*n+72)*a(n+2),a(0)=1,a(1)=8} ogf] A076217 6.94453 [-(27*x^28+54*x^27+27*x^26+9*x^10+18*x^9+9*x^8+3*x^4+6*x^3+5*x^2+4*x+1)/(x-1)/(x+1)^2 ogf] A076218 4.79587 [{-a(n+4)+35*a(n+3)-35*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=145} ogf] A076218 5.05815 [-(7920*f(x)+5519)*(f(x)*x^3-35*f(x)*x^2+5*x^3+35*f(x)*x-30*x^2-f(x)+x) ogf] A076218 8.67671 [-(5-60*x+5*x^4-60*x^3+878*x^2)/(x-1)/(x^2-34*x+1)/(5*x^2-30*x+1) lgdogf] A076218 9.52122 [-x*(5*x^2-30*x+1)/(x-1)/(x^2-34*x+1) ogf] A076264 19.0549 [1/(x^3-3*x+1) ogf] A076264 22.8067 [-3*(-1+x)*(x+1)/(1-3*x+x^3) lgdogf] A076264 6.68950 [{-a(n+3)+3*a(n+2)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A076264 7.3978 [-(f(x)-1)*(f(x)*x^3-3*f(x)*x+f(x)-1) ogf] A076293 6.38626 [-(-7-13*x+17*x^6+18*x^5+11*x^7+6*x^4-30*x^3+x^8-23*x^2)/(x+1)/(x^6-6*x^3+1)/(x^2+3*x+1) lgdogf] A076293 9.34698 [(x+1)*(x^2+3*x+1)^2/(x^6-6*x^3+1) ogf] A076294 9.63800 [-(x-1)*(5*x^4+12*x^3+25*x^2+12*x+5)/(x^6-6*x^3+1) ogf] A076295 7.14302 [-(3*x^6-3*x^5-5*x^4-21*x^3+5*x^2+3*x+4)/(x-1)/(x^6-6*x^3+1) ogf] A076296 7.04605 [(4*x^6+3*x^5+5*x^4-21*x^3-5*x^2-3*x+3)/(x-1)/(x^6-6*x^3+1) ogf] A076301 16.7408 [-(2-2*x+3*x^2)/(x-1)/(3*x^2-4*x+2) lgdegf] A076301 3.41866 [{(-3*n^2-12*n-12)*a(n+1)+(n^2+11*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A076301 5.05367 [-(2*f(x)+3)*(2*f(x)*x^3-6*f(x)*x^2+6*f(x)*x+3*x^2-2*f(x)-4*x+2) egf] A076301 9.52741 [-1/2*(3*x^2-4*x+2)/(x-1)^3 egf] A076307 6.29839 [-(2*x^12+2*x^9+x^8+x^7+2*x^6-x^5+2*x^4+2*x^3+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A076309 5.38578 [x*(19*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A076310 7.28792 [-x*(35*x^9-4*x^8-4*x^7-4*x^6-4*x^5-4*x^4-4*x^3-4*x^2-4*x-4)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A076311 5.25187 [x*(46*x^9-5*x^8-5*x^7-5*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x-5)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A076312 7.24957 [-x*(17*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A076313 5.86430 [x*(10*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A076314 7.52722 [-x*(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A076338 12.9606 [-(-511*x-513)/(-511*x^2+510*x+1) lgdogf] A076338 15.4424 [(511*x+1)/(x-1)^2 ogf] A076338 18.2398 [-1/2*(-1-2*x+(2048*x+1)^(1/2))/(-511+x) revogf] A076338 25.4054 [-(513+511*x)/(511*x+1)/(x-1) lgdogf] A076338 7.63994 [(1024*f(x)+262145)*(f(x)*x^2-2*f(x)*x+f(x)-511*x-1) ogf] A076338 8.64042 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=513} ogf] A076389 12.4527 [-10*(3+20*x+2*x^3+17*x^2)/(x-1)/(5*x^3+31*x^2+23*x+1) lgdogf] A076389 3.54547 [{(71*n^2+544*n+1040)*a(n+1)+(-41*n^2+165*n+596)*a(n+2)+(-30*n^2-103*n-86)*a(n+3),a(0)=0,a(1)=1,a(2)=30} ogf] A076389 6.03687 [-x*(5*x^3+31*x^2+23*x+1)/(x-1)^7 ogf] A076389 7.61469 [-(20*x^3+170*x^2+200*x+30)/(5*x^4+26*x^3-8*x^2-22*x-1) lgdogf] A076441 10.2272 [(x^9-2*x^8-x^6-x^3-2*x^2-2*x-2)/(x^6+x^3+1)/(x-1)/(x^2+x+1) ogf] A076441 7.59904 [(2+4*x+3*x^2+6*x^5+16*x^7+9*x^8+16*x^9+14*x^10+6*x^11+3*x^14+2*x^16)/(x-1)/(x^2+x+1)/(x^9-2*x^8-x^6-x^3-2*x^2-2*x-2)/(x^6+x^3+1) lgdogf] A076447 7.74210 [(x^10-x^9-2*x^8+x^7+x^6-x^4+x^3-2)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A076451 4.87169 [(x^19-x^18-x^16-x^15+2*x^14-x^13+x^12-x^10+x^9-x^7+x^6-2*x^5+x^4+x^3-2)/(x-1)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1) ogf] A076452 9.75213 [x*(x^7-x^6-2*x^5-x^4+x^3-x-1)/(x^6+x^3+1)/(x-1)/(x^2+x+1) ogf] A076453 9.80631 [-(x^6-2*x^5+2*x^4-x^3+2*x^2-2*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)/(x^2+x+1) ogf] A076454 10.5619 [-(7*x^2+16*x+1)/(x-1)^5 ogf] A076454 12.4258 [-(21*x^2+78*x+21)/(7*x^3+9*x^2-15*x-1) lgdogf] A076454 21.8556 [-3*(7+26*x+7*x^2)/(x-1)/(7*x^2+16*x+1) lgdogf] A076454 4.12173 [{(n+4)*a(n+4)+(24+15*n)*a(n+3)+(-96-9*n)*a(n+2)+(-28-7*n)*a(n+1),a(0)=1,a(1)=21,a(2)=102,a(3)=310} ogf] A076455 10.4403 [-(33*x^2+150*x+57)/(11*x^3+21*x^2-27*x-5) lgdogf] A076455 17.7384 [-3*(19+50*x+11*x^2)/(x-1)/(11*x^2+32*x+5) lgdogf] A076455 3.54670 [{(5*n+20)*a(n+4)+(24+27*n)*a(n+3)+(-192-21*n)*a(n+2)+(-44-11*n)*a(n+1),a(0)=5,a(1)=57,a(2)=246,a(3)=710} ogf] A076455 9.15136 [-(11*x^2+32*x+5)/(x-1)^5 ogf] A076456 11.5501 [-(15*x^2+74*x+31)/(5*x^3+11*x^2-13*x-3) lgdogf] A076456 21.1582 [-(31+74*x+15*x^2)/(x-1)/(5*x+1)/(x+3) lgdogf] A076456 3.85003 [{(3*n+12)*a(n+4)+(8+13*n)*a(n+3)+(-96-11*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=9,a(1)=93,a(2)=390,a(3)=1110} ogf] A076456 9.83898 [-3*(x+3)*(5*x+1)/(x-1)^5 ogf] A076457 11.2071 [-(57*x^2+294*x+129)/(19*x^3+45*x^2-51*x-13) lgdogf] A076457 19.1431 [-3*(43+98*x+19*x^2)/(x-1)/(19*x^2+64*x+13) lgdogf] A076457 3.84092 [{(13*n+52)*a(n+4)+(24+51*n)*a(n+3)+(-384-45*n)*a(n+2)+(-76-19*n)*a(n+1),a(0)=13,a(1)=129,a(2)=534,a(3)=1510} ogf] A076457 9.97702 [-(19*x^2+64*x+13)/(x-1)^5 ogf] A076458 10.3497 [-(69*x^2+366*x+165)/(23*x^3+57*x^2-63*x-17) lgdogf] A076458 17.2481 [-3*(55+122*x+23*x^2)/(x-1)/(23*x^2+80*x+17) lgdogf] A076458 3.54709 [{(17*n+68)*a(n+4)+(24+63*n)*a(n+3)+(-480-57*n)*a(n+2)+(-92-23*n)*a(n+1),a(0)=17,a(1)=165,a(2)=678,a(3)=1910} ogf] A076458 9.21379 [-(23*x^2+80*x+17)/(x-1)^5 ogf] A076459 14.6331 [-3*(19+127*x+5*x^3+89*x^2)/(x-1)/(5*x^3+63*x^2+51*x+1) lgdogf] A076459 4.06087 [{(493*n^2+4167*n+8780)*a(n+1)+(-566*n^2-2440*n-3072)*a(n+2)+(73*n^2+373*n+462)*a(n+3),a(0)=1,a(1)=57,a(2)=390} ogf] A076459 8.20461 [(5*x^3+63*x^2+51*x+1)/(x-1)^6 ogf] A076459 9.03429 [-(15*x^3+267*x^2+381*x+57)/(5*x^4+58*x^3-12*x^2-50*x-1) lgdogf] A076460 10.2791 [-(103+1436*x+3014*x^2+1252*x^3+75*x^4)/(x-1)/(25*x^4+288*x^3+430*x^2+96*x+1) lgdogf] A076460 6.67801 [-(25*x^4+288*x^3+430*x^2+96*x+1)/(x-1)^7 ogf] A076460 6.85072 [-(-75*x^4-1252*x^3-3014*x^2-1436*x-103)/(-25*x^5-263*x^4-142*x^3+334*x^2+95*x+1) lgdogf] A076461 6.60977 [-(61*x^4+864*x^3+1582*x^2+480*x+13)/(x-1)^7 ogf] A076461 9.79091 [-(571+6044*x+10502*x^2+3700*x^3+183*x^4)/(x-1)/(61*x^4+864*x^3+1582*x^2+480*x+13) lgdogf] A076462 6.02097 [-(113*x^4+1760*x^3+3502*x^2+1184*x+41)/(x-1)^7 ogf] A076462 8.59987 [-(1471+14108*x+22790*x^2+7492*x^3+339*x^4)/(x-1)/(113*x^4+1760*x^3+3502*x^2+1184*x+41) lgdogf] A076463 5.81974 [-(181*x^4+2976*x^3+6190*x^2+2208*x+85)/(x-1)^7 ogf] A076463 8.21369 [-(2803+25628*x+543*x^4+12628*x^3+39878*x^2)/(x-1)/(181*x^4+2976*x^3+6190*x^2+2208*x+85) lgdogf] A076464 5.85019 [-(265*x^4+4512*x^3+9646*x^2+3552*x+145)/(x-1)^7 ogf] A076464 8.23009 [-(4567+40604*x+61766*x^2+19108*x^3+795*x^4)/(x-1)/(265*x^4+4512*x^3+9646*x^2+3552*x+145) lgdogf] A076465 4.46076 [-(13*x^6+1354*x^5+11255*x^4+19300*x^3+7835*x^2+562*x+1)/(x-1)^9 ogf] A076505 10.3060 [2*(1+9*x+108*x^4+48*x^3+18*x^2)/(x-1)/(12*x^2+3*x+1)/(24*x^3-1) lgdogf] A076505 11.2282 [(x-1)*(12*x^2+3*x+1)/(24*x^3-1) ogf] A076505 6.75984 [{-a(n+4)+24*a(n+1),a(0)=1,a(1)=2,a(2)=9,a(3)=12} ogf] A076505 7.3607 [(3632*f(x)-687)*(24*f(x)*x^3-12*x^3+9*x^2-f(x)+2*x+1) ogf] A076506 10.8032 [-3*(1+8*x+24*x^2+48*x^3+96*x^4)/(12*x^2+3*x+1)/(24*x^3-1) lgdogf] A076506 12.3297 [-(12*x^2+3*x+1)/(24*x^3-1) ogf] A076506 8.06171 [{-a(n+3)+24*a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A076506 8.1664 [(7*f(x)-1)*(24*f(x)*x^3+12*x^2-f(x)+3*x+1) ogf] A076507 7.01744 [-(393*f(x)-2)*(24*f(x)*x^3-16*x^3+8*x^2-f(x)+6*x+2) ogf] A076508 11.4034 [-4*(1+4*x+48*x^4+48*x^3+18*x^2)/(8*x^2+4*x+1)/(24*x^3-1) lgdogf] A076508 12.7769 [-2*(8*x^2+4*x+1)/(24*x^3-1) ogf] A076508 7.75737 [-(63*f(x)-206)*(24*f(x)*x^3+16*x^2-f(x)+8*x+2) ogf] A076508 8.35410 [{a(n+3)-24*a(n),a(0)=2,a(1)=8,a(2)=16} ogf] A076509 10.6026 [(1+8*x+54*x^2+48*x^3+96*x^4)/(x-1)/(6*x^2+2*x+1)/(24*x^3-1) lgdogf] A076509 10.6431 [3*(x-1)*(6*x^2+2*x+1)/(24*x^3-1) ogf] A076509 6.45038 [{-a(n+4)+24*a(n+1),a(0)=3,a(1)=3,a(2)=12,a(3)=54} ogf] A076509 6.86653 [-(29*f(x)-100)*(24*f(x)*x^3-18*x^3+12*x^2-f(x)+3*x+3) ogf] A076510 11.4615 [-2*(1+6*x+72*x^4+48*x^3+36*x^2)/(6*x^2+2*x+1)/(24*x^3-1) lgdogf] A076510 12.8407 [-3*(6*x^2+2*x+1)/(24*x^3-1) ogf] A076510 8.28959 [(16*f(x)-15)*(24*f(x)*x^3+18*x^2-f(x)+6*x+3) ogf] A076510 8.39587 [{-a(n+3)+24*a(n),a(0)=3,a(1)=6,a(2)=18} ogf] A076536 5.50731 [(2*x^14+x^13+2*x^12+2*x^11+20*x^10+4*x^9+5*x^8+x^7+34*x^6+5*x^5+4*x^4+4*x^3+16*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A076540 6.97294 [4*x^3*f(x)^2-f(x)^2*x^2-4*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1 ogf] A076612 5.95498 [-(81*x^11-9*x^10-18*x^9-18*x^8-27*x^7-9*x^6-92*x^5-x^4-2*x^3-2*x^2-3*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A076616 11.0378 [2*x^3*(4*x^2-2*x-1)/(2*x-1)^3 ogf] A076616 13.7973 [-(-8*x^2+8)/(-8*x^3+8*x^2-1) lgdogf] A076616 4.06657 [{(-28*n^2-172*n+200)*a(n+1)+(-24*n^2-48*n-200)*a(n+2)+(19*n^2+15*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A076616 6.89863 [f(x)*(-8*x^5+8*f(x)*x^3+4*x^4-12*f(x)*x^2+2*x^3+6*f(x)*x-f(x)) ogf] A076622 11.5795 [2*x*(-1+10*x^12-12*x^10+x^3+39*x^41-41*x^39-3*x)/(x-1)/(x+1)/(2*x^41+2*x^12+2*x^3+1) lgdogf] A076622 15.6610 [-(2*x^41+2*x^12+2*x^3+1)/(x-1)/(x+1) ogf] A076641 4.49050 [-(81*x^18-9*x^17-9*x^16-9*x^15-9*x^14-9*x^13-9*x^12-9*x^11-9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A076684 4.19325 [(32735*f(x)-4556)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)+14*x+1) ogf] A076684 4.33662 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=1,a(1)=33,a(2)=609} ogf] A076684 7.92788 [-(x^2+14*x+1)/(x-1)/(x^2-18*x+1) ogf] A076684 8.13596 [-(33-36*x+28*x^3+x^4-282*x^2)/(x-1)/(x^2+14*x+1)/(x^2-18*x+1) lgdogf] A076708 10.9219 [-2*(-17+35*x+x^3-11*x^2)/(x-5)/(x-1)/(x^2-6*x+1) lgdogf] A076708 12.7070 [x*(x-5)/(x-1)/(x^2-6*x+1) ogf] A076708 6.46695 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=34} ogf] A076708 7.03203 [-f(x)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-x^2-f(x)+5*x) ogf] A076708 8.42207 [-(2*x^3-22*x^2+70*x-34)/(x^4-12*x^3+42*x^2-36*x+5) lgdogf] A076729 11.3328 [-(12*x-4)/(8*x^2-6*x+1) lgdegf] A076729 19.4277 [-4*(3*x-1)/(-1+4*x)/(-1+2*x) lgdegf] A076729 3.80349 [{(8*n^2+36*n+40)*a(n+1)+(-6*n-16)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=28} ogf] A076729 6.69048 [16*x^3*f(x)^2-20*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 egf] A076736 12.9459 [(1+2*x-4*x^3+4*x^5+2*x^2)/(x-1)/(2*x^2-1)/(x^3+x^2+2*x+1) lgdogf] A076736 13.2115 [(x-1)*(x^3+x^2+2*x+1)/(2*x^2-1) ogf] A076736 6.97272 [{a(n+5)-2*a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=2,a(4)=1} ogf] A076736 7.84431 [-(4*x^5-4*x^3+2*x^2+2*x+1)/(-2*x^6-x^4+2*x^3+3*x^2-x-1) lgdogf] A076736 8.96493 [(5*f(x)+11)*(-x^4+2*f(x)*x^2-x^2-f(x)+x+1) ogf] A076737 6.51265 [(2+4*x+78*x^5+x^4-28*x^3+20*x^6-80*x^7-5*x^2+32*x^9)/(x-1)/(2*x+1)/(-1+2*x)/(1+x)/(4*x^6+x^4-5*x^3-8*x^2+2*x+2) lgdogf] A076737 9.09888 [(4*x^6+x^4-5*x^3-8*x^2+2*x+2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A076738 10.7647 [{-a(n+3)+9*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A076738 12.2107 [f(x)*(9*f(x)*x^3+6*x^2-f(x)+2*x+1) ogf] A076738 14.8891 [-(2+12*x+54*x^4+36*x^3+27*x^2)/(6*x^2+2*x+1)/(9*x^3-1) lgdogf] A076738 16.6962 [-(6*x^2+2*x+1)/(9*x^3-1) ogf] A076738 8.02075 [-(-54*x^4-36*x^3-27*x^2-12*x-2)/(-54*x^5-18*x^4-9*x^3+6*x^2+2*x+1) lgdogf] A076739 5.27648 [-(x^13-x^5-1)/(x^16+x^15+x^14-3*x^13-x^10-2*x^8-x^7-x^6-x^3-x^2-x+1) ogf] A076758 14.4624 [-2*(49+124*x+2*x^3+49*x^2)/(x-1)/(x^3+19*x^2+35*x+9) lgdogf] A076758 3.79277 [{(761*n^2+6372*n+13312)*a(n+1)+(-1314*n^2-7944*n-19272)*a(n+2)+(553*n^2+2820*n+3428)*a(n+3),a(0)=0,a(1)=9,a(2)=98} ogf] A076758 6.86798 [-x*(x^3+19*x^2+35*x+9)/(x-1)^7 ogf] A076758 8.76260 [-(4*x^3+98*x^2+248*x+98)/(x^4+18*x^3+16*x^2-26*x-9) lgdogf] A076765 16.5980 [-1/(x-1)/(x^2-8*x+1) ogf] A076765 18.8169 [-3*(3-6*x+x^2)/(x-1)/(x^2-8*x+1) lgdogf] A076765 5.43473 [{a(n+3)-9*a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=72} ogf] A076765 5.96238 [(3913*f(x)-25)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A076765 9.44808 [-(3*x^2-18*x+9)/(x^3-9*x^2+9*x-1) lgdogf] A076767 13.0815 [-5*(3+18*x+8*x^3+27*x^2)/(x-1)/(10*x^3+21*x^2+8*x+1) lgdogf] A076767 3.73213 [{(19*n^2+121*n+180)*a(n+1)+(-14*n^2+41*n+100)*a(n+2)+(-5*n^2-18*n-16)*a(n+3),a(0)=0,a(1)=1,a(2)=15} ogf] A076767 6.22022 [-x*(10*x^3+21*x^2+8*x+1)/(x-1)^7 ogf] A076767 7.84595 [-(-40*x^3-135*x^2-90*x-15)/(-10*x^4-11*x^3+13*x^2+7*x+1) lgdogf] A076770 10.7800 [-2*(x^6-x^5+x^4+x^3+6*x-9)/(x-1)^2 ogf] A076770 12.2830 [(12-6*x-9*x^5+7*x^4-3*x^3+4*x^6-3*x^2)/(x-1)/(x^6-x^5+x^4+x^3+6*x-9) lgdogf] A076795 3.82998 [{(-2*n-3)*a(n+1)+(2*n+4)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A076808 3.80113 [-(3469677703983*f(x)+1412311071630687697)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-13301*x^3-4*f(x)*x+29515*x^2+f(x)-22567*x+5861) ogf] A076808 7.68490 [(13301*x^3-29515*x^2+22567*x-5861)/(x-1)^4 ogf] A076808 9.33439 [-(-877+8671*x-19127*x^2+13301*x^3)/(x-1)/(13301*x^3-29515*x^2+22567*x-5861) lgdogf] A076809 6.12963 [-(8779-256*x+x^4-3172*x^3-5232*x^2)/(-1+x)/(x^4-1588*x^3-156*x^2+14*x+1753) lgdogf] A076809 7.89788 [-(x^4-3172*x^3-5232*x^2-256*x+8779)/(x^5-1589*x^4+1432*x^3+170*x^2+1739*x-1753) lgdogf] A076809 9.18888 [-(x^4-1588*x^3-156*x^2+14*x+1753)/(x-1)^5 ogf] A076817 4.51669 [-(20*x^10+20*x^9+30*x^8-5*x^7+13*x^6-5*x^5+30*x^4+20*x^3+20*x^2+10)/(x-1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1) ogf] A076824 15.2507 [-(3*x^4+5*x^3+3*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A076824 9.63047 [-(1+6*x+3*x^8+10*x^7+12*x^3+9*x^6+4*x^5+5*x^4+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+5*x^3+3*x^2+x+1) lgdogf] A076839 11.5795 [-(x^2+x+1)*(2*x^6+4*x^5+5*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+3*x^3+2*x^2+x+1) lgdogf] A076839 15.2507 [-(2*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A076840 13.5794 [-(2*x^5+3*x^4+5*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A076840 7.54014 [-(1+4*x+2*x^10+6*x^9+15*x^8+8*x^7+12*x^3+5*x^6+6*x^5+10*x^4+15*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+3*x^4+5*x^3+2*x^2+x+1) lgdogf] A076841 10.8751 [-(2*x^7+3*x^6+14*x^5+5*x^4+9*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A076844 11.1381 [-(3*x^7+5*x^6+9*x^5+5*x^4+3*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A076878 10.5133 [-x*(2*x^2-3*x+2)/(2*x-1)/(x-1)^2 ogf] A076878 13.4612 [-(-5+11*x+4*x^3-8*x^2)/(x-1)/(2*x-1)/(2*x^2-3*x+2) lgdogf] A076878 5.17700 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=0,a(1)=2,a(2)=5,a(3)=12} ogf] A076878 5.74255 [-(f(x)+1)*(2*f(x)*x^3-5*f(x)*x^2+2*x^3+4*f(x)*x-3*x^2-f(x)+2*x) ogf] A076878 8.23330 [-(4*x^3-8*x^2+11*x-5)/(4*x^4-12*x^3+15*x^2-9*x+2) lgdogf] A076898 8.20100 [(x^12-x^8-x^7+x^6+x^5+x^4-x^2-x-1)/(x^12+x^6-1) ogf] A076899 5.45145 [-(x^14+x^13+x^12-x^11-x^10+2*x^8+2*x^7+x^6-x^5-x^4-x^2-x-1)/(x-1)/(x^2+x+1)/(x^12+x^6-1) ogf] A076921 11.7844 [(x^4-2*x^3+x-1)/(x+1)/(x-1)^3 ogf] A076921 19.4395 [(1+2*x+3*x^2)/(x-1)/(1+x)/(x^4-2*x^3+x-1) lgdogf] A076921 6.61074 [-(6*f(x)-7)*(f(x)*x^4-2*f(x)*x^3-x^4+2*x^3+2*f(x)*x-f(x)-x+1) ogf] A076921 9.24001 [-(3*x^2+2*x+1)/(-x^6+2*x^5+x^4-3*x^3+x^2+x-1) lgdogf] A076936 7.55478 [-4*(1+x+32*x^6+4*x^2-16*x^3-28*x^4+64*x^5)/(-1+2*x)/(2*x^2-1)/(8*x^2-1)/(4*x^2+6*x+1) lgdogf] A076936 8.09743 [16*f(x)*x^4-10*f(x)*x^2+8*x^3+8*x^2+f(x)-4*x-1 ogf] A076936 9.78943 [-(2*x-1)*(4*x^2+6*x+1)/(2*x^2-1)/(8*x^2-1) ogf] A076937 2.27337 [-(1184*f(x)-3809)*(f(x)*x^4-2*f(x)*x^2-x^3-x^2+f(x)-2*x) ogf] A076937 3.98772 [x*(x^2+x+2)/(x+1)^2/(x-1)^2 ogf] A076937 5.30123 [-(1+10*x+2*x^3+3*x^2)/(-1+x)/(x+1)/(x^2+x+2) lgdogf] A076938 10.4478 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-x ogf] A076938 17.8774 [x/(x+1)/(x-1)^2 ogf] A076938 18.2837 [-(-3*x-1)/(-x^2+1) lgdogf] A076938 37.7037 [-(1+3*x)/(-1+x)/(x+1) lgdogf] A076938 38.1765 [[1+x] ogf_with_Euler_transform] A076938 7.24758 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A076939 3.27558 [(6*f(x)-5)*(2*f(x)*x^2-f(x)+x+1) ogf] A076939 3.42912 [{-a(n+2)+2*a(n),a(0)=1,a(1)=1} ogf] A076939 5.35278 [-(x+1)/(2*x^2-1) ogf] A076939 6.90332 [-(4*x+1+2*x^2)/(x+1)/(2*x^2-1) lgdogf] A076994 5.50226 [(3-8*x+2*x^6+32*x^5+32*x^11+20*x^3-32*x^4+62*x^8-52*x^7-54*x^10-4*x^9)/(x-1)/(2*x-1)/(2*x^10-2*x^8+2*x^7-2*x^5+2*x^4-2*x^3-3*x+2) lgdogf] A076994 7.69977 [(2*x^10-2*x^8+2*x^7-2*x^5+2*x^4-2*x^3-3*x+2)/(2*x-1)/(x-1) ogf] A077043 11.4696 [-(2*x^3+5*x^2+8*x+3)/(x^4+x^3-x-1) lgdogf] A077043 12.7048 [-x*(x^2+x+1)/(x+1)/(x-1)^3 ogf] A077043 19.3799 [-(2*x+1)*(x^2+2*x+3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A077043 32.8701 [-x^2+x+3 ogf_with_Euler_transform] A077043 6.88175 [-(7*f(x)-13)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+x^2-f(x)+x) ogf] A077044 5.41383 [-x*(x^6+8*x^5+29*x^4+39*x^3+29*x^2+8*x+1)/(x+1)^3/(x-1)^5 ogf] A077044 6.64113 [-(10+82*x+138*x^5+293*x^4+368*x^3+26*x^6+2*x^7+231*x^2)/(x-1)/(1+x)/(x^6+8*x^5+29*x^4+39*x^3+29*x^2+8*x+1) lgdogf] A077122 10.1122 [-2*(7-18*x-12*x^2+32*x^3)/(x-1)/(2*x+1)/(-1+2*x)/(4*x-1) lgdogf] A077122 8.81113 [-4*(2*x+1)*x/(2*x-1)/(x-1)^2/(4*x-1)^2 ogf] A077122 8.92409 [-(-64*x^3+24*x^2+36*x-14)/(-16*x^4+20*x^3-5*x+1) lgdogf] A077134 3.45483 [2*f(x)*x-x^2-2*f(x)+2 egf] A077134 4.12895 [1/2*(x^2-2)/(x-1) egf] A077134 6.11642 [(2-2*x+x^2)/(-1+x)/(x^2-2) lgdegf] A077140 11.8584 [-(-3+6*x+3*x^4-10*x^3)/(-1+x)/(1+x^2)/(x^2-2*x-1) lgdogf] A077140 6.34927 [(x^2-2*x-1)/(x-1)/(x^2+1)^2 ogf] A077169 10.7754 [-(x^6-x^5+x^2-x+1)/(x-1)^3 ogf] A077169 16.2750 [(-2-8*x^5+5*x^4+3*x^6-x^2)/(x-1)/(x^6-x^5+x^2-x+1) lgdogf] A077209 4.86001 [-(100*x^6+110*x^5+30*x^4-80*x^3-101*x^2-21*x-2)/(x-1)/(x^2+x+1)/(10*x^3-1) ogf] A077221 10.5619 [-(-2*x^3-20*x^2-18*x-8)/(-x^4-6*x^3+6*x+1) lgdogf] A077221 12.0243 [-x*(x^2+6*x+1)/(x+1)/(x-1)^3 ogf] A077221 17.1118 [-2*(4+9*x+x^3+10*x^2)/(x-1)/(1+x)/(x^2+6*x+1) lgdogf] A077221 6.35431 [-(176*f(x)-859)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+6*x^2-f(x)+x) ogf] A077234 12.0652 [-(-x^2-4*x+9)/(-x^3+2*x^2+7*x-2) lgdogf] A077234 17.1593 [(x+2)/(x^2-4*x+1) ogf] A077234 18.2511 [-(-1-2*x+(1+5*x+3*x^2)^(1/2))/(x-1) revogf] A077234 20.6061 [-(-9+4*x+x^2)/(x+2)/(x^2-4*x+1) lgdogf] A077234 8.8755 [(32*f(x)+17)*(f(x)*x^2-4*f(x)*x+f(x)-x-2) ogf] A077234 9.41671 [{-a(n+2)+4*a(n+1)-a(n),a(0)=2,a(1)=9} ogf] A077235 10.7927 [-(-4*x^2+10*x-16)/(-4*x^3+21*x^2-24*x+5) lgdogf] A077235 13.1001 [-1/2*(-5-4*x+(25+24*x+12*x^2)^(1/2))/(4+x) revogf] A077235 15.2835 [-2*(8-5*x+2*x^2)/(4*x-5)/(x^2-4*x+1) lgdogf] A077235 16.3090 [-(4*x-5)/(x^2-4*x+1) ogf] A077235 8.15449 [-(27*f(x)-7)*(f(x)*x^2-4*f(x)*x+f(x)+4*x-5) ogf] A077235 8.84223 [{a(n+2)-4*a(n+1)+a(n),a(0)=5,a(1)=16} ogf] A077236 13.5174 [-(5*x-4)/(x^2-4*x+1) ogf] A077236 17.0212 [-(11-8*x+5*x^2)/(5*x-4)/(x^2-4*x+1) lgdogf] A077236 17.0212 [-(-2-2*x+(4+3*x+3*x^2)^(1/2))/(5+x) revogf] A077236 6.68446 [-(36*f(x)-23)*(f(x)*x^2-4*f(x)*x+f(x)+5*x-4) ogf] A077236 7.32873 [{a(n+2)-4*a(n+1)+a(n),a(0)=4,a(1)=11} ogf] A077236 9.07888 [-(-5*x^2+8*x-11)/(-5*x^3+24*x^2-21*x+4) lgdogf] A077237 5.4071 [(780*f(x)-79)*(f(x)*x^4-4*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A077237 7.84100 [-(-2-12*x+10*x^4+4*x^3+x^6+4*x^5-11*x^2)/(x+1)/(x^2+x+1)/(x^4-4*x^2+1) lgdogf] A077237 8.65137 [(x^2+x+1)*(x+1)/(x^4-4*x^2+1) ogf] A077238 10.8689 [-(5+22*x+4*x^6+10*x^5+x^4-16*x^3+8*x^2)/(x-1)/(4*x^2+9*x+4)/(x^4-4*x^2+1) lgdogf] A077238 12.4236 [-(x-1)*(4*x^2+9*x+4)/(x^4-4*x^2+1) ogf] A077238 7.2751 [-(2340*f(x)-1613)*(f(x)*x^4-4*f(x)*x^2+4*x^3+5*x^2+f(x)-5*x-4) ogf] A077239 10.4550 [-(-5*x^2+14*x-37)/(-5*x^3+37*x^2-47*x+7) lgdogf] A077239 13.5521 [-1/2*(-7-6*x+(49+64*x+32*x^2)^(1/2))/(5+x) revogf] A077239 15.7986 [-(5*x-7)/(x^2-6*x+1) ogf] A077239 15.8108 [-(37-14*x+5*x^2)/(5*x-7)/(x^2-6*x+1) lgdogf] A077239 7.72761 [-(208*f(x)-87)*(f(x)*x^2-6*f(x)*x+f(x)+5*x-7) ogf] A077239 8.56553 [{a(n+2)-6*a(n+1)+a(n),a(0)=7,a(1)=37} ogf] A077240 10.2732 [-(-7*x^2+10*x-23)/(-7*x^3+47*x^2-37*x+5) lgdogf] A077240 13.3381 [-1/2*(-5-6*x+(25+32*x+32*x^2)^(1/2))/(7+x) revogf] A077240 15.5239 [-(7*x-5)/(x^2-6*x+1) ogf] A077240 15.5612 [-(23-10*x+7*x^2)/(7*x-5)/(1-6*x+x^2) lgdogf] A077240 7.51157 [-(128*f(x)-111)*(f(x)*x^2-6*f(x)*x+f(x)+7*x-5) ogf] A077240 8.41657 [{a(n+2)-6*a(n+1)+a(n),a(0)=5,a(1)=23} ogf] A077241 11.3548 [(x^2+x+1)*(x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A077241 6.96283 [(4760*f(x)-751)*(f(x)*x^4-6*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A077242 11.9827 [-(x-1)*(5*x^2+12*x+5)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A077242 6.55365 [-(7+46*x+5*x^6+14*x^5+9*x^4-20*x^3+27*x^2)/(x-1)/(5*x^2+12*x+5)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A077242 7.41785 [(952*f(x)-303)*(f(x)*x^4-6*f(x)*x^2+5*x^3+7*x^2+f(x)-7*x-5) ogf] A077243 12.4975 [(x+2)/(x^2-8*x+1) ogf] A077243 15.2947 [-(-1-4*x+(1+9*x+15*x^2)^(1/2))/(x-1) revogf] A077243 17.2066 [-(-17+4*x+x^2)/(x+2)/(x^2-8*x+1) lgdogf] A077243 6.39077 [(132*f(x)+25)*(f(x)*x^2-8*f(x)*x+f(x)-x-2) ogf] A077243 6.77576 [{-a(n+2)+8*a(n+1)-a(n),a(0)=2,a(1)=17} ogf] A077243 8.52103 [-(x^2+4*x-17)/(x^3-6*x^2-15*x+2) lgdogf] A077244 10.5422 [-(-2*x^2+6*x-22)/(-2*x^3+19*x^2-26*x+3) lgdogf] A077244 13.5732 [-1/2*(-8*x-3+(60*x^2+40*x+9)^(1/2))/(x+2) revogf] A077244 15.6962 [-(2*x-3)/(x^2-8*x+1) ogf] A077244 15.9000 [-2*(11-3*x+x^2)/(2*x-3)/(x^2-8*x+1) lgdogf] A077244 7.76186 [-(85*f(x)-13)*(f(x)*x^2-8*f(x)*x+f(x)+2*x-3) ogf] A077244 8.50999 [{a(n+2)-8*a(n+1)+a(n),a(0)=3,a(1)=22} ogf] A077245 12.2358 [(2*x+1)/(x^2-8*x+1) ogf] A077245 12.8293 [-1/2*(-1-8*x+(1+24*x+60*x^2)^(1/2))/(-2+x) revogf] A077245 16.3283 [-2*(-5+x+x^2)/(1+2*x)/(x^2-8*x+1) lgdogf] A077245 6.32885 [(39*f(x)+11)*(f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A077245 6.63386 [{-a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=10} ogf] A077245 8.34258 [-(2*x^2+2*x-10)/(2*x^3-15*x^2-6*x+1) lgdogf] A077246 12.3666 [-(3*x-2)/(x^2-8*x+1) ogf] A077246 15.1312 [-(-1-4*x+(1+5*x+15*x^2)^(1/2))/(x+3) revogf] A077246 15.5635 [-(13-4*x+3*x^2)/(3*x-2)/(x^2-8*x+1) lgdogf] A077246 6.0489 [-(100*f(x)-31)*(f(x)*x^2-8*f(x)*x+f(x)+3*x-2) ogf] A077246 6.70481 [{a(n+2)-8*a(n+1)+a(n),a(0)=2,a(1)=13} ogf] A077246 8.30596 [-(-3*x^2+4*x-13)/(-3*x^3+26*x^2-19*x+2) lgdogf] A077247 10.2425 [(x^2+x+1)*(x+1)/(x^4-8*x^2+1) ogf] A077247 6.28075 [(1764*f(x)-319)*(f(x)*x^4-8*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A077247 9.32252 [-(-2-20*x+4*x^5+14*x^4+4*x^3+x^6-19*x^2)/(1+x)/(x^2+x+1)/(x^4-8*x^2+1) lgdogf] A077248 5.48742 [(8820*f(x)-23)*(f(x)*x^4-8*f(x)*x^2+2*x^3+3*x^2+f(x)-3*x-2) ogf] A077248 7.61222 [-(3+26*x+2*x^6+6*x^5+7*x^4-8*x^3+18*x^2)/(x-1)/(1+2*x)/(x+2)/(x^4-8*x^2+1) lgdogf] A077248 8.86431 [-(x-1)*(2*x+1)*(x+2)/(x^4-8*x^2+1) ogf] A077249 10.5758 [-(x^2+4*x-21)/(x^3-8*x^2-19*x+2) lgdogf] A077249 15.1740 [(x+2)/(x^2-10*x+1) ogf] A077249 17.5903 [-(-1-5*x+((1+3*x)*(8*x+1))^(1/2))/(x-1) revogf] A077249 22.1297 [-(x+7)*(x-3)/(x+2)/(x^2-10*x+1) lgdogf] A077249 7.84276 [(206*f(x)+29)*(f(x)*x^2-10*f(x)*x+f(x)-x-2) ogf] A077249 8.30958 [{-a(n+2)+10*a(n+1)-a(n),a(0)=2,a(1)=21} ogf] A077250 15.1061 [-(7*x-11)/(x^2-10*x+1) ogf] A077250 15.1740 [-1/2*(-11-10*x+(121+192*x+96*x^2)^(1/2))/(7+x) revogf] A077250 17.8976 [-(103-22*x+7*x^2)/(7*x-11)/(x^2-10*x+1) lgdogf] A077250 7.39571 [-(1008*f(x)-479)*(f(x)*x^2-10*f(x)*x+f(x)+7*x-11) ogf] A077250 8.25567 [{a(n+2)-10*a(n+1)+a(n),a(0)=11,a(1)=103} ogf] A077250 9.99983 [-(-7*x^2+22*x-103)/(-7*x^3+81*x^2-117*x+11) lgdogf] A077251 10.5758 [-(2*x^2+2*x-12)/(2*x^3-19*x^2-8*x+1) lgdogf] A077251 14.9135 [-1/2*(-1-10*x+((1+4*x)*(24*x+1))^(1/2))/(-2+x) revogf] A077251 15.1740 [(2*x+1)/(x^2-10*x+1) ogf] A077251 19.6006 [-2*(x+3)*(x-2)/(2*x+1)/(x^2-10*x+1) lgdogf] A077251 7.93188 [(59*f(x)+13)*(f(x)*x^2-10*f(x)*x+f(x)-2*x-1) ogf] A077251 8.30958 [{-a(n+2)+10*a(n+1)-a(n),a(0)=1,a(1)=12} ogf] A077259 7.96052 [-(3*x^5+3*x^4-22*x^3-54*x^2+35*x+3)/(x^6-19*x^4+19*x^2-1) lgdogf] A077259 9.30325 [-2*x*(x+1)^2/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A077260 7.80619 [-3*x*(x^2+6*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A077261 8.13067 [-15*x*(x^2+6*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A077262 8.06489 [x*(x^3+5*x^2-9*x-5)/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A077263 6.00597 [-(19*x^5-35*x^4+54*x^3-142*x^2+199*x-63)/(x^3+x^2+3*x-1)/(x-1)^3 ogf] A077265 5.30189 [-(1151*f(x)+5684)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+12*x^3-5*f(x)*x-38*x^2+f(x)+42*x-14) ogf] A077265 7.48211 [-(-12*x^4+52*x^3-89*x^2+60*x-14)/(-12*x^5+56*x^4-105*x^3+96*x^2-42*x+7) lgdogf] A077265 9.88378 [-2*(6*x^3-19*x^2+21*x-7)/(2*x-1)/(x-1)^3 ogf] A077285 11.0390 [-(-2*x^5-x^4-2*x^3-2*x^2-2*x-1)/(-x^6+1) ogf_with_Euler_transform] A077288 11.8478 [-(3+19*x+3*x^5+3*x^4-14*x^3-30*x^2)/(-1+x)/(x+1)/(x^4-10*x^2+1) lgdogf] A077288 7.79803 [-(3*x^5+3*x^4-14*x^3-30*x^2+19*x+3)/(x^6-11*x^4+11*x^2-1) lgdogf] A077288 9.11336 [-x*(x+1)^2/(x-1)/(x^4-10*x^2+1) ogf] A077289 8.90071 [-x*(x^2+5*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A077290 8.48117 [-6*x*(x^2+5*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A077291 8.31219 [x*(x^3+3*x^2-5*x-3)/(x-1)/(x^4-10*x^2+1) ogf] A077340 8.31165 [2*(10+x-10695*x^11+5885*x^10+4900*x^12)/(x-1)/(980*x^12-1070*x^11+8*x^2-18*x-1) lgdogf] A077340 8.71917 [-(980*x^12-1070*x^11+8*x^2-18*x-1)/(x-1)^2 ogf] A077372 7.08082 [-f(x)*(f(x)*x^2+f(x)*x-f(x)+x)^2 ogf] A077379 12.5005 [x^2*(20*x^2-332*x+123)/(10*x-1)/(x-1) ogf] A077379 6.20465 [(62004784036725*f(x)+18174077314672988)*(-20*x^4+10*f(x)*x^2+332*x^3-11*f(x)*x-123*x^2+f(x)) ogf] A077379 6.29656 [{-a(n+5)+11*a(n+4)-10*a(n+3),a(0)=0,a(1)=0,a(2)=123,a(3)=1021,a(4)=10021} ogf] A077379 6.31878 [(1021-2420*x+3100*x^2)/(-1+x)/(10*x-1)/(20*x^2-332*x+123) lgdogf] A077379 9.04294 [-(3100*x^2-2420*x+1021)/(-200*x^4+3540*x^3-4902*x^2+1685*x-123) lgdogf] A077397 11.0979 [-(2*x^3+2*x^2-31*x-1)/(x^4-16*x^2+1) ogf] A077397 6.52246 [(438912*f(x)-1012777)*(f(x)*x^4-16*f(x)*x^2+2*x^3+2*x^2+f(x)-31*x-1) ogf] A077398 7.90438 [-(5+68*x-50*x^2-104*x^3-31*x^4+8*x^5+6*x^6)/(x-1)/(2*x^2+3*x+2)/(x^4-16*x^2+1) lgdogf] A077398 8.94996 [-x*(2*x^2+3*x+2)/(x-1)/(x^4-16*x^2+1) ogf] A077399 8.46467 [-3*x*(x^2+4*x+1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A077400 7.86299 [-21*x*(x^2+4*x+1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A077401 6.20497 [-(-14-180*x+17*x^6+2*x^7+157*x^2+278*x^3-118*x^4-44*x^5)/(x-1)/(x^3+6*x^2-8*x-6)/(x^4-16*x^2+1) lgdogf] A077401 7.88802 [x*(x^3+6*x^2-8*x-6)/(x-1)/(x^4-16*x^2+1) ogf] A077409 14.8512 [-(11*x-7)/(x^2-10*x+1) ogf] A077409 15.5914 [-1/2*(-7-10*x+(49+96*x+96*x^2)^(1/2))/(11+x) revogf] A077409 17.5903 [-(59-14*x+11*x^2)/(11*x-7)/(x^2-10*x+1) lgdogf] A077409 7.34743 [-(576*f(x)-551)*(f(x)*x^2-10*f(x)*x+f(x)+11*x-7) ogf] A077409 8.30958 [{a(n+2)-10*a(n+1)+a(n),a(0)=7,a(1)=59} ogf] A077409 9.83106 [-(-11*x^2+14*x-59)/(-11*x^3+117*x^2-81*x+7) lgdogf] A077410 4.89022 [(39600*f(x)-7687)*(f(x)*x^4-10*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A077410 7.33086 [-(-2-24*x+x^6+4*x^5+16*x^4+4*x^3-23*x^2)/(x+1)/(x^2+x+1)/(x^4-10*x^2+1) lgdogf] A077410 8.07626 [(x^2+x+1)*(x+1)/(x^4-10*x^2+1) ogf] A077411 5.88176 [(7425*f(x)+2072)*(f(x)*x^4-10*f(x)*x^2+7*x^3+11*x^2+f(x)-11*x-7) ogf] A077411 7.82863 [-(11+118*x+7*x^6+22*x^5+37*x^4-28*x^3+89*x^2)/(x-1)/(7*x^2+18*x+7)/(x^4-10*x^2+1) lgdogf] A077411 9.51463 [-(x-1)*(7*x^2+18*x+7)/(x^4-10*x^2+1) ogf] A077412 10.9929 [-(2*x-16)/(x^2-16*x+1) lgdogf] A077412 11.7024 [-1/2*(-1-16*x+(14*x+1)^(1/2)*(18*x+1)^(1/2))/x revogf] A077412 16.1660 [1/(x^2-16*x+1) ogf] A077412 24.4686 [-2*(-8+x)/(x^2+1-16*x) lgdogf] A077412 6.54337 [(127*f(x)+1)*(f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A077412 6.54337 [{-a(n+2)+16*a(n+1)-a(n),a(0)=1,a(1)=16} ogf] A077413 11.4018 [-(x^2+4*x-13)/(x^3-4*x^2-11*x+2) lgdogf] A077413 15.5778 [-(-1-3*x+(1+7*x+8*x^2)^(1/2))/(x-1) revogf] A077413 16.7226 [(x+2)/(x^2-6*x+1) ogf] A077413 17.0382 [-(-13+4*x+x^2)/(x+2)/(x^2+1-6*x) lgdogf] A077413 8.64964 [(74*f(x)+21)*(f(x)*x^2-6*f(x)*x+f(x)-x-2) ogf] A077413 9.06648 [{-a(n+2)+6*a(n+1)-a(n),a(0)=2,a(1)=13} ogf] A077414 11.5978 [-x*(x-4)/(x-1)^4 ogf] A077414 15.3848 [-(-3*x+15)/(-x^2+5*x-4) lgdogf] A077414 35.3673 [-3*(-5+x)/(x-1)/(x-4) lgdogf] A077414 4.99242 [{(-8-4*n)*a(n+3)+(20+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=4,a(2)=15} ogf] A077414 5.66808 [(14121*f(x)+45853)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-4*x) ogf] A077415 10.4450 [x*(x^2-4*x+5)/(x-1)^4 ogf] A077415 11.5528 [-(-2*x^2+10*x-16)/(-x^3+5*x^2-9*x+5) lgdogf] A077415 23.4772 [-2*(8-5*x+x^2)/(x-1)/(x^2-4*x+5) lgdogf] A077415 3.81242 [{(15+5*n)*a(n+4)+(-34-9*n)*a(n+3)+(15+5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=5,a(2)=16,a(3)=35} ogf] A077415 5.56558 [(172*f(x)+405)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+4*x^2+f(x)-5*x) ogf] A077416 10.9017 [(x+1)/(x^2-12*x+1) ogf] A077416 11.3987 [-1/2*(-1-12*x+(1+28*x+140*x^2)^(1/2))/(x-1) revogf] A077416 14.8529 [-(-13+2*x+x^2)/(x+1)/(x^2-12*x+1) lgdogf] A077416 5.63459 [(154*f(x)+15)*(f(x)*x^2-12*f(x)*x+f(x)-x-1) ogf] A077416 5.96998 [{-a(n+2)+12*a(n+1)-a(n),a(0)=1,a(1)=13} ogf] A077416 7.48475 [-(x^2+2*x-13)/(x^3-11*x^2-11*x+1) lgdogf] A077417 13.8901 [-(x-1)/(x^2-12*x+1) ogf] A077417 14.5852 [-1/2*(-1-12*x+(1+20*x+140*x^2)^(1/2))/(1+x) revogf] A077417 19.5989 [-(11-2*x+x^2)/(x-1)/(x^2-12*x+1) lgdogf] A077417 6.94504 [-(130*f(x)-9)*(f(x)*x^2-12*f(x)*x+f(x)+x-1) ogf] A077417 7.60646 [{a(n+2)-12*a(n+1)+a(n),a(0)=1,a(1)=11} ogf] A077417 9.53646 [-(-x^2+2*x-11)/(-x^3+13*x^2-13*x+1) lgdogf] A077420 11.0088 [-(x-1)/(x^2-34*x+1) ogf] A077420 11.2630 [-1/2*(-1-34*x+(1+64*x+1152*x^2)^(1/2))/(1+x) revogf] A077420 15.4867 [-(33-2*x+x^2)/(x-1)/(x^2-34*x+1) lgdogf] A077420 5.38729 [-(1120*f(x)-31)*(f(x)*x^2-34*f(x)*x+f(x)+x-1) ogf] A077420 6.02863 [{a(n+2)-34*a(n+1)+a(n),a(0)=1,a(1)=33} ogf] A077420 7.55828 [-(-x^2+2*x-33)/(-x^3+35*x^2-35*x+1) lgdogf] A077421 10.5358 [-(2*x-22)/(x^2-22*x+1) lgdogf] A077421 11.2109 [-1/2*(-22*x-1+(24*x+1)^(1/2)*(20*x+1)^(1/2))/x revogf] A077421 15.4939 [1/(x^2-22*x+1) ogf] A077421 22.4218 [-2*(-11+x)/(x^2+1-22*x) lgdogf] A077421 6.27133 [(241*f(x)+1)*(f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A077421 6.27133 [{-a(n+2)+22*a(n+1)-a(n),a(0)=1,a(1)=22} ogf] A077422 13.2063 [-(11-2*x+11*x^2)/(11*x-1)/(x^2-22*x+1) lgdogf] A077422 14.2674 [-(11*x-1)/(x^2-22*x+1) ogf] A077422 7.05859 [-(240*f(x)-119)*(f(x)*x^2-22*f(x)*x+f(x)+11*x-1) ogf] A077422 7.98293 [{a(n+2)-22*a(n+1)+a(n),a(0)=1,a(1)=11} ogf] A077422 9.57951 [-(-11*x^2+2*x-11)/(-11*x^3+243*x^2-33*x+1) lgdogf] A077423 10.7022 [-(2*x-24)/(x^2-24*x+1) lgdogf] A077423 11.3917 [-1/2*(-24*x-1+(22*x+1)^(1/2)*(26*x+1)^(1/2))/x revogf] A077423 15.7385 [1/(x^2-24*x+1) ogf] A077423 22.7835 [-2*(-12+x)/(x^2+1-24*x) lgdogf] A077423 6.37035 [(287*f(x)+1)*(f(x)*x^2-24*f(x)*x+f(x)-1) ogf] A077423 6.37036 [{-a(n+2)+24*a(n+1)-a(n),a(0)=1,a(1)=24} ogf] A077424 11.1494 [-(-1+12*x)/(x^2-24*x+1) ogf] A077424 14.2480 [-2*(6-x+6*x^2)/(12*x-1)/(x^2-24*x+1) lgdogf] A077424 5.57467 [-(143*f(x)-71)*(f(x)*x^2-24*f(x)*x+f(x)+12*x-1) ogf] A077424 6.23833 [{a(n+2)-24*a(n+1)+a(n),a(0)=1,a(1)=12} ogf] A077424 7.48600 [-(-12*x^2+2*x-12)/(-12*x^3+289*x^2-36*x+1) lgdogf] A077433 13.2701 [-(-19*x^20+20*x^19+1)/(x^21-x^20+x-1) lgdogf] A077433 17.3692 [(-1-20*x^19+19*x^20)/(x-1)/(x^4+1)/(x^16-x^12+x^8-x^4+1) lgdogf] A077433 21.3475 [-x^2*(x^4+1)*(x^16-x^12+x^8-x^4+1)/(x-1) ogf] A077442 10.7236 [(x+1)^3/(x^2+2*x-1)/(x^2-2*x-1) ogf] A077442 12.2065 [-(-3-12*x+6*x^2+4*x^3+x^4)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A077442 6.76728 [(490*f(x)+1)*(f(x)*x^4-6*f(x)*x^2-x^3-3*x^2+f(x)-3*x-1) ogf] A077442 7.18589 [-(-x^4-4*x^3-6*x^2+12*x+3)/(-x^5-x^4+6*x^3+6*x^2-x-1) lgdogf] A077443 10.1504 [-(x-1)*(3*x^2+8*x+3)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A077443 5.94393 [-(1960*f(x)-1083)*(f(x)*x^4-6*f(x)*x^2+3*x^3+5*x^2+f(x)-5*x-3) ogf] A077443 7.51682 [-(5+26*x+21*x^2-12*x^3+3*x^4+10*x^5+3*x^6)/(x-1)/(3*x^2+8*x+3)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A077444 12.3824 [2*(x+1)/(x^2-6*x+1) ogf] A077444 15.1451 [-(-1-3*x+(1+8*x+8*x^2)^(1/2))/(-2+x) revogf] A077444 17.5878 [-(-7+2*x+x^2)/(1+x)/(x^2+1-6*x) lgdogf] A077444 6.47914 [(20*f(x)+9)*(f(x)*x^2-6*f(x)*x+f(x)-2*x-2) ogf] A077444 6.71333 [{-a(n+2)+6*a(n+1)-a(n),a(0)=2,a(1)=14} ogf] A077444 8.70634 [-(x^2+2*x-7)/(x^3-5*x^2-5*x+1) lgdogf] A077445 12.6486 [-4*(x-1)/(x^2-6*x+1) ogf] A077445 15.0596 [-(-2-3*x+2*(1+2*x+2*x^2)^(1/2))/(4+x) revogf] A077445 18.5735 [-(5-2*x+x^2)/(x-1)/(x^2-6*x+1) lgdogf] A077445 6.12031 [-(204*f(x)-191)*(f(x)*x^2-6*f(x)*x+f(x)+4*x-4) ogf] A077445 6.85770 [{a(n+2)-6*a(n+1)+a(n),a(0)=4,a(1)=20} ogf] A077445 8.89358 [-(-x^2+2*x-5)/(-x^3+7*x^2-7*x+1) lgdogf] A077446 10.2017 [(x+1)*(x^2+4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A077446 6.02826 [-(1960*f(x)+439)*(f(x)*x^4-6*f(x)*x^2-x^3-5*x^2+f(x)-5*x-1) ogf] A077446 7.82866 [-(-5-22*x+21*x^4+4*x^3+10*x^5+x^6-33*x^2)/(x+1)/(x^2+4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A077447 10.4067 [-4*(x-1)*(x^2+3*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A077447 6.44226 [(490*f(x)-621)*(f(x)*x^4-6*f(x)*x^2+4*x^3+8*x^2+f(x)-8*x-4) ogf] A077447 9.08367 [-(2+8*x+4*x^5-4*x^3+x^6+9*x^2)/(x-1)/(x^2+3*x+1)/(-1+2*x+x^2)/(x^2-2*x-1) lgdogf] A077450 13.5794 [(2*x^5-x^4-x^3-2*x^2-2*x-3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A077450 9.82503 [(2+4*x+4*x^3+6*x^6+8*x^5+x^8+2*x^7+5*x^4+3*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^5-x^4-x^3-2*x^2-2*x-3) lgdogf] A077461 3.51691 [2*(x+1)/(x^2-6*x+1) ogf] A077466 4.11873 [-(384*x^12-128*x^11-64*x^10+64*x^9-32*x^8+32*x^7-16*x^6-8*x^5+8*x^4-4*x^3+4*x^2-2*x-1)/(3*x-1)/(128*x^12-1) ogf] A077467 6.84739 [-(x^29-x^28+x^12-x^11-x^10-x^8-x^6-x^5-x^3-x-1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A077491 4.29934 [(45*x^16-45*x^15+45*x^14-45*x^13+45*x^12-45*x^11+45*x^10-45*x^9+5*x^8-4*x^7+5*x^6-4*x^5+5*x^4-4*x^3+5*x^2-4*x+5)/(x-1)/(10*x^9-1) ogf] A077492 5.10046 [(72*x^13-18*x^12-18*x^11-18*x^10-18*x^9+2*x^8+2*x^7+2*x^6+2*x^5-7*x^4+2*x^3+2*x^2+2*x+2)/(x-1)/(10*x^9-1) ogf] A077538 12.3855 [-2*(7+41*x+57*x^2+15*x^3)/(x-1)/(10*x^3+21*x^2+8*x+1) lgdogf] A077538 3.41855 [{(-211*n^2-1429*n-2340)*a(n+1)+(152*n^2-219*n-1088)*a(n+2)+(59*n^2+298*n+363)*a(n+3),a(0)=1,a(1)=14,a(2)=90} ogf] A077538 6.83710 [(10*x^3+21*x^2+8*x+1)/(x-1)^6 ogf] A077538 7.61405 [-(-30*x^3-114*x^2-82*x-14)/(-10*x^4-11*x^3+13*x^2+7*x+1) lgdogf] A077543 4.02138 [{-a(n+5)+11*a(n+4)-10*a(n+3),a(0)=4,a(1)=22,a(2)=111,a(3)=1001,a(4)=10001} ogf] A077543 4.43961 [(405810405*f(x)-12296268331)*(-100*x^4+10*f(x)*x^2-11*f(x)*x+91*x^2+f(x)+22*x-4) ogf] A077543 6.46892 [(22-262*x+1221*x^2+400*x^3-3300*x^4+2000*x^5)/(x-1)/(10*x-1)/(100*x^4-91*x^2-22*x+4) lgdogf] A077543 8.28285 [(100*x^4-91*x^2-22*x+4)/(10*x-1)/(x-1) ogf] A077552 12.2642 [-(4*x^2-4*x-3)/(-4*x^3-x+1) lgdogf] A077552 15.2622 [-(2*x^2+x+1)/(2*x-1) ogf] A077552 19.2303 [(2*x+1)*(2*x-3)/(2*x-1)/(2*x^2+x+1) lgdogf] A077552 8.17617 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=3,a(2)=8} ogf] A077552 8.69364 [-(2*f(x)-1)*(2*f(x)*x+2*x^2-f(x)+x+1) ogf] A077568 16.1919 [-(10*x-1)/(2*x-1)/(2*x+1) lgdegf] A077568 3.05200 [{(-4*n^2-22*n-28)*a(n+1)+a(n+3)+a(n+2),a(0)=1,a(1)=-1,a(2)=11} ogf] A077568 8.74907 [-(10*x-1)/(4*x^2-1) lgdegf] A077587 6.1099 [4*x^3*f(x)^2-f(x)^2*x^2+12*f(x)*x^2-7*f(x)*x+x^2+f(x)+4*x-1 ogf] A077588 11.5061 [-(8*x^2+8*x+2)/(x^4+4*x^3-6*x^2+2*x-1) lgdogf] A077588 12.0063 [-(x^3+5*x^2-x+1)/(x-1)^3 ogf] A077588 23.9104 [-2*(2*x+1)^2/(x-1)/(x^3+5*x^2-x+1) lgdogf] A077588 6.22885 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=20} ogf] A077588 6.73526 [-(-5+6*f(x))*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+5*x^2-f(x)-x+1) ogf] A077591 10.1948 [-(18*x^2+28*x+2)/(x^4+14*x^3-16*x^2+2*x-1) lgdogf] A077591 11.0687 [-(x^3+15*x^2-x+1)/(x-1)^3 ogf] A077591 18.9941 [-2*(1+14*x+9*x^2)/(x-1)/(x^3+15*x^2-x+1) lgdogf] A077591 5.78214 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=18,a(3)=50} ogf] A077591 7.9062 [-f(x)*x^3+3*f(x)*x^2-x^3-3*f(x)*x-15*x^2+f(x)+x-1 ogf] A077611 12.1108 [-2*x^2/(x+1)^2/(x-1)^3 egf] A077611 16.7900 [-(-5*x-1)/(-x^2+1) lgdegf] A077611 36.6288 [-(5*x+1)/(x-1)/(x+1) lgdegf] A077611 4.45036 [{(n^3+9*n^2+26*n+24)*a(n+1)+(n+3)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=4} ogf] A077611 6.31418 [-f(x)*x^5+f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x) egf] A077612 11.3762 [-(-5*x-1)/(-x^2+1) lgdegf] A077612 24.8805 [-(1+5*x)/(x-1)/(x+1) lgdegf] A077612 5.2481 [(f(x)-1)*(f(x)*x^5-f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+2*x^3+f(x)*x-f(x)) egf] A077612 8.20582 [-2*x^3/(x+1)^2/(x-1)^3 egf] A077613 11.7108 [-(-4*x-2)/(-x^2+1) lgdegf] A077613 12.5677 [-x/(x+1)/(x-1)^3 egf] A077613 23.0202 [-2*(1+2*x)/(x-1)/(x+1) lgdegf] A077613 3.08549 [{(n^3+9*n^2+26*n+24)*a(n+1)+(6+2*n)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A077613 7.52466 [(6*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+x) egf] A077616 11.4018 [-(x+1)/(3*x-1)^3 ogf] A077616 12.7979 [-(6*x+10)/(3*x^2+2*x-1) lgdogf] A077616 24.5822 [-2*(3*x+5)/(x+1)/(-1+3*x) lgdogf] A077616 5.40602 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=10,a(2)=63} ogf] A077616 5.64954 [(4528*f(x)-4825)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+x+1) ogf] A077745 13.0312 [-2*(6*x+1+(1-6*x)^(1/2))/(2*x+1)/(6*x-1) lgdegf] A077745 18.6160 [-1/2-3/2*exp(-2*x)+2*exp(-x) revegf] A077745 5.72405 [12*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+12*f(x)*x-2*f(x)+3 egf] A077745 7.39357 [-2*(6*x+1+(1-6*x)^(1/2))/(2*x+1)/(-1+6*x) lgdegf] A077750 10.8205 [-(4*x^3+x^2-2*x+3)/(2*x^4-x^3+x^2-x-1) lgdogf] A077750 15.1866 [-2*(2*x+1)*x/(x^2+1)/(x-1) ogf] A077750 24.3169 [-(3-2*x+4*x^3+x^2)/(x-1)/(2*x+1)/(x^2+1) lgdogf] A077750 7.7289 [-(f(x)-28)*(f(x)*x^3-f(x)*x^2+f(x)*x+4*x^2-f(x)+2*x) ogf] A077750 7.79853 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=6} ogf] A077758 8.40835 [(100*f(x)*x^2-20*f(x)*x+f(x)-1)^2 ogf] A077802 12.5378 [-2*(1-3*x^2+x^3)/(x-1)/(-1+2*x)/(2*x^3-4*x^2+2*x-1) lgdogf] A077802 4.91000 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=18} ogf] A077802 5.30919 [(181*f(x)-428)*(2*f(x)*x^3-5*f(x)*x^2-2*x^3+4*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A077802 7.50609 [-(-2*x^3+6*x^2-2)/(-4*x^5+14*x^4-18*x^3+12*x^2-5*x+1) lgdogf] A077802 9.46420 [(2*x^3-4*x^2+2*x-1)/(2*x-1)/(x-1)^2 ogf] A077814 18.4814 [-(1-3*x+4*x^4-7*x^3+9*x^2)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A077814 20.4250 [-x^5+2*x^3+x^2-x+1 ogf_with_Euler_transform] A077814 9.02861 [x^2*(x^2-x+1)/(x^2+1)^2/(x-1)^2 ogf] A077821 13.4978 [a(n+4)-4*a(n+3)+3*a(n),a(0)=4,a(1)=16,a(2)=64,a(3)=244 lgdogf] A077821 14.5078 [-(12*x^3-4)/(3*x^4-4*x+1) lgdogf] A077821 23.3004 [1/(x-1)/(3*x^3+3*x^2+3*x-1) ogf] A077821 9.04601 [-(f(x)-1)*(3*f(x)*x^4-4*f(x)*x+f(x)-1) ogf] A077822 11.2596 [-(8*x^3+3*x^2-4)/(2*x^4+x^3-4*x+1) lgdogf] A077822 17.5028 [-(-4+8*x^3+3*x^2)/(x-1)/(2*x^3+3*x^2+3*x-1) lgdogf] A077822 18.6745 [1/(x-1)/(2*x^3+3*x^2+3*x-1) ogf] A077822 6.07662 [{-a(n+4)+4*a(n+3)-a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=16,a(3)=63} ogf] A077822 7.43352 [(913*f(x)-224)*(2*f(x)*x^4+f(x)*x^3-4*f(x)*x+f(x)-1) ogf] A077823 15.3402 [-(-4+2*x+12*x^3-3*x^2)/(x-1)/(3*x^3+2*x^2+3*x-1) lgdogf] A077823 16.6525 [1/(x-1)/(3*x^3+2*x^2+3*x-1) ogf] A077823 6.09238 [(2143*f(x)+1566)*(3*f(x)*x^4-f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A077823 9.25140 [-(12*x^3-3*x^2+2*x-4)/(3*x^4-x^3+x^2-4*x+1) lgdogf] A077824 11.6070 [-(8*x^3+2*x-4)/(2*x^4+x^2-4*x+1) lgdogf] A077824 17.8004 [-2*(-2+x+4*x^3)/(x-1)/(2*x^3+2*x^2+3*x-1) lgdogf] A077824 20.0769 [1/(x-1)/(2*x^3+2*x^2+3*x-1) ogf] A077824 7.50349 [(f(x)-4)*(2*f(x)*x^4+f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A077825 11.4594 [-(12*x^3-2*x-3)/(3*x^4-x^2-3*x+1) lgdogf] A077825 17.4209 [-(-3-2*x+12*x^3)/(x-1)/(3*x^3+3*x^2+2*x-1) lgdogf] A077825 20.1314 [1/(x-1)/(3*x^3+3*x^2+2*x-1) ogf] A077825 7.52383 [(f(x)-2)*(3*f(x)*x^4-f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077826 16.1647 [-(-3-2*x+8*x^3+3*x^2)/(x-1)/(2*x^3+3*x^2+2*x-1) lgdogf] A077826 17.1793 [1/(x-1)/(2*x^3+3*x^2+2*x-1) ogf] A077826 6.28513 [-(89*f(x)-64)*(2*f(x)*x^4+f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077826 9.66338 [-(-8*x^3-3*x^2+2*x+3)/(-2*x^4-x^3+x^2+3*x-1) lgdogf] A077827 14.5293 [a(n+4)-3*a(n+3)+2*a(n),a(0)=3,a(1)=9,a(2)=27,a(3)=73 lgdogf] A077827 15.3471 [-(-8*x^3+3)/(-2*x^4+3*x-1) lgdogf] A077827 24.1833 [1/(x-1)/(2*x^3+2*x^2+2*x-1) ogf] A077827 9.38881 [-(f(x)-1)*(2*f(x)*x^4-3*f(x)*x+f(x)-1) ogf] A077828 11.9633 [-(-9*x^2-6*x-3)/(-3*x^3-3*x^2-3*x+1) lgdogf] A077828 20.6934 [-1/(3*x^3+3*x^2+3*x-1) ogf] A077828 20.9061 [-3*(1+2*x+3*x^2)/(3*x^2-1+3*x+3*x^3) lgdogf] A077828 6.77570 [{a(n+3)-3*a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A077828 7.73387 [(f(x)-1)*(3*f(x)*x^3+3*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077829 11.8106 [-(-6*x^2-6*x-3)/(-2*x^3-3*x^2-3*x+1) lgdogf] A077829 20.4292 [-1/(2*x^3+3*x^2+3*x-1) ogf] A077829 20.6346 [-3*(1+2*x+2*x^2)/(3*x^2-1+3*x+2*x^3) lgdogf] A077829 6.68919 [{a(n+3)-3*a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A077829 7.19884 [-(43*f(x)-16)*(2*f(x)*x^3+3*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077830 11.5561 [-(-9*x^2-4*x-3)/(-3*x^3-2*x^2-3*x+1) lgdogf] A077830 19.9889 [-1/(3*x^3+2*x^2+3*x-1) ogf] A077830 21.3693 [-(3+4*x+9*x^2)/(2*x^2-1+3*x+3*x^3) lgdogf] A077830 6.54504 [{a(n+3)-3*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A077830 7.25086 [(142*f(x)-27)*(3*f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077831 11.4542 [-(-6*x^2-4*x-3)/(-2*x^3-2*x^2-3*x+1) lgdogf] A077831 19.8128 [-1/(2*x^3+2*x^2+3*x-1) ogf] A077831 21.1776 [-(3+4*x+6*x^2)/(2*x^2-1+3*x+2*x^3) lgdogf] A077831 6.48736 [{a(n+3)-3*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A077831 7.71654 [-f(x)*(2*f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077832 12.0272 [-(-9*x^2-6*x-2)/(-3*x^3-3*x^2-2*x+1) lgdogf] A077832 20.8037 [-1/(3*x^3+3*x^2+2*x-1) ogf] A077832 22.2473 [-(2+6*x+9*x^2)/(3*x^2-1+2*x+3*x^3) lgdogf] A077832 6.87266 [{a(n+3)-2*a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A077832 7.77514 [(8*f(x)-5)*(3*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077833 11.8710 [-(-6*x^2-6*x-2)/(-2*x^3-3*x^2-2*x+1) lgdogf] A077833 20.5336 [-1/(2*x^3+3*x^2+2*x-1) ogf] A077833 20.7337 [-2*(1+3*x+3*x^2)/(3*x^2-1+2*x+2*x^3) lgdogf] A077833 6.78341 [{a(n+3)-2*a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A077833 7.44846 [(121*f(x)-76)*(2*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077834 12.4169 [-(-9*x^2-4*x-2)/(-3*x^3-2*x^2-2*x+1) lgdogf] A077834 21.4779 [-1/(3*x-1)/(x^2+x+1) ogf] A077834 7.09538 [{a(n+3)-2*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A077834 8.73277 [f(x)*(3*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077835 12.2065 [-(-6*x^2-4*x-2)/(-2*x^3-2*x^2-2*x+1) lgdogf] A077835 21.1139 [-1/(2*x^3+2*x^2+2*x-1) ogf] A077835 21.3262 [-2*(1+3*x^2+2*x)/(2*x^2-1+2*x+2*x^3) lgdogf] A077835 6.97512 [{a(n+3)-2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A077835 7.89104 [(f(x)-1)*(2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077836 11.7088 [-(6*x^3-6*x^2-6*x-2)/(3*x^4-4*x+1) lgdogf] A077836 14.1389 [(x-1)/(3*x^3+3*x^2+3*x-1) ogf] A077836 15.0272 [-2*(-1-3*x+3*x^3-3*x^2)/(x-1)/(3*x^3+3*x^2+3*x-1) lgdogf] A077836 6.69074 [{a(n+3)-3*a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A077836 7.06945 [(106*f(x)-73)*(3*f(x)*x^3+3*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A077837 10.3626 [-(-4*x^3+3*x^2+6*x+2)/(-2*x^4-x^3+4*x-1) lgdogf] A077837 14.0775 [(x-1)/(2*x^3+3*x^2+3*x-1) ogf] A077837 15.5973 [-(-2-6*x+4*x^3-3*x^2)/(x-1)/(2*x^3+3*x^2+3*x-1) lgdogf] A077837 6.66165 [{a(n+3)-3*a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A077837 6.97294 [(485*f(x)-408)*(2*f(x)*x^3+3*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A077838 13.7086 [(x-1)/(3*x^3+2*x^2+3*x-1) ogf] A077838 15.1814 [-(-2-4*x+6*x^3-7*x^2)/(x-1)/(3*x^3+2*x^2+3*x-1) lgdogf] A077838 6.48711 [{a(n+3)-3*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A077838 6.66565 [-(79*f(x)-57)*(3*f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A077838 9.08195 [-(-6*x^3+7*x^2+4*x+2)/(-3*x^4+x^3-x^2+4*x-1) lgdogf] A077839 10.0006 [-(-4*x^3+4*x^2+4*x+2)/(-2*x^4-x^2+4*x-1) lgdogf] A077839 13.5857 [(x-1)/(2*x^3+2*x^2+3*x-1) ogf] A077839 14.4287 [-2*(-1-2*x+2*x^3-2*x^2)/(x-1)/(2*x^3+2*x^2+3*x-1) lgdogf] A077839 6.42893 [{a(n+3)-3*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A077839 6.72934 [-(8*f(x)-5)*(2*f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A077840 10.5520 [-(-6*x^3+6*x^2+6*x+1)/(-3*x^4+x^2+3*x-1) lgdogf] A077840 14.3348 [(x-1)/(3*x^3+3*x^2+2*x-1) ogf] A077840 15.8811 [-(-1-6*x+6*x^3-6*x^2)/(x-1)/(3*x^3+3*x^2+2*x-1) lgdogf] A077840 6.78341 [{a(n+3)-2*a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A077840 6.97012 [-(55*f(x)-58)*(3*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077841 14.3348 [(x-1)/(2*x^3+3*x^2+2*x-1) ogf] A077841 15.8811 [-(-1-6*x+4*x^3-3*x^2)/(x-1)/(3*x^2-1+2*x+2*x^3) lgdogf] A077841 6.78341 [{-a(n+3)+2*a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A077841 6.97012 [-(41*f(x)-76)*(2*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077841 9.49678 [-(-4*x^3+3*x^2+6*x+1)/(-2*x^4-x^3+x^2+3*x-1) lgdogf] A077842 10.8970 [-(-6*x^3+7*x^2+4*x+1)/(-3*x^4+x^3+3*x-1) lgdogf] A077842 14.8034 [(x-1)/(3*x-1)/(x^2+x+1) ogf] A077842 17.1358 [-(-1-4*x+6*x^3-7*x^2)/(x-1)/(3*x-1)/(x^2+x+1) lgdogf] A077842 7.00519 [{a(n+3)-2*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A077842 7.47219 [(25*f(x)-21)*(3*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077843 11.9434 [-(-4*x^3+4*x^2+4*x+1)/(-2*x^4+3*x-1) lgdogf] A077843 14.4222 [(x-1)/(2*x^3+2*x^2+2*x-1) ogf] A077843 15.9768 [-(-1-4*x+4*x^3-4*x^2)/(x-1)/(2*x^3+2*x^2+2*x-1) lgdogf] A077843 6.82479 [{a(n+3)-2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A077843 7.27977 [(33*f(x)-29)*(2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077844 2.38946 [-(f(x)-1)*(2*f(x)*x^4-3*f(x)*x+f(x)-1) ogf] A077844 6.15467 [1/(x-1)/(2*x^3+2*x^2+2*x-1) ogf] A077845 11.4884 [-(4*x^3+3*x^2-3)/(x^4+x^3-3*x+1) lgdogf] A077845 18.7255 [-(-3+4*x^3+3*x^2)/(x-1)/(x^3+2*x^2+2*x-1) lgdogf] A077845 19.0540 [1/(x-1)/(x^3+2*x^2+2*x-1) ogf] A077845 7.81213 [(15*f(x)-2)*(f(x)*x^4+f(x)*x^3-3*f(x)*x+f(x)-1) ogf] A077846 12.6763 [-(6*x^2-3)/(2*x^3-3*x+1) lgdogf] A077846 19.5753 [-3*(-1+2*x^2)/(x-1)/(2*x^2+2*x-1) lgdogf] A077846 22.7299 [1/(x-1)/(2*x^2+2*x-1) ogf] A077846 7.01243 [{-a(n+3)+3*a(n+2)-2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A077846 7.75491 [-(f(x)-1)*(2*f(x)*x^3-3*f(x)*x+f(x)-1) ogf] A077847 11.0909 [-(8*x^3-12*x^2+3)/(2*x^4-4*x^3+3*x-1) lgdogf] A077847 17.4806 [-(3+8*x^3-12*x^2)/(x-1)/(2*x^3-2*x^2-2*x+1) lgdogf] A077847 20.6830 [-1/(x-1)/(2*x^3-2*x^2-2*x+1) ogf] A077847 7.57692 [(72*f(x)-29)*(2*f(x)*x^4-4*f(x)*x^3+3*f(x)*x-f(x)+1) ogf] A077848 17.4595 [-(-3+2*x+8*x^3-3*x^2)/(x-1)/(2*x^3+x^2+2*x-1) lgdogf] A077848 17.7618 [1/(x-1)/(2*x^3+x^2+2*x-1) ogf] A077848 6.60563 [(217*f(x)+128)*(2*f(x)*x^4-f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077848 9.99102 [-(8*x^3-3*x^2+2*x-3)/(2*x^4-x^3+x^2-3*x+1) lgdogf] A077849 12.1168 [-(-4*x^3-2*x+3)/(-x^4-x^2+3*x-1) lgdogf] A077849 20.5910 [-(-3+2*x+4*x^3)/(x-1)/(x^3+x^2+2*x-1) lgdogf] A077849 20.9588 [1/(x-1)/(x^3+x^2+2*x-1) ogf] A077849 7.83306 [(f(x)+2)*(f(x)*x^4+f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077850 10.1373 [-(4*x^3-6*x^2-2*x+3)/(x^4-2*x^3-x^2+3*x-1) lgdogf] A077850 18.0218 [-1/(x-1)/(x^3-x^2-2*x+1) ogf] A077850 19.9280 [-(2*x-3)*(2*x^2-1)/(x-1)/(x^3-x^2-2*x+1) lgdogf] A077850 6.54018 [-(107*f(x)-38)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077851 17.2463 [1/(x-1)/(2*x^3+2*x-1) ogf] A077851 20.0617 [-(4*x-3)*(2*x^2+1)/(x-1)/(2*x^3+2*x-1) lgdogf] A077851 6.63317 [(5*f(x)+2)*(2*f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077851 9.70102 [-(8*x^3-6*x^2+4*x-3)/(2*x^4-2*x^3+2*x^2-3*x+1) lgdogf] A077852 16.0556 [1/(x-1)/(x^3+2*x-1) ogf] A077852 22.7312 [-(4*x-3)*(1+x^2)/(x-1)/(x^3+2*x-1) lgdogf] A077852 6.72412 [(5*f(x)-2)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077852 9.83404 [-(4*x^3-3*x^2+4*x-3)/(x^4-x^3+2*x^2-3*x+1) lgdogf] A077853 10.1444 [-(-8*x^3+6*x^2+4*x-3)/(-2*x^4+2*x^3+2*x^2-3*x+1) lgdogf] A077853 18.0345 [-1/(x-1)/(2*x^3-2*x+1) ogf] A077853 6.87757 [(5*f(x)-14)*(2*f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077854 17.0164 [1/(2*x-1)/(x-1)/(x^2+1) ogf] A077854 17.4825 [-(-3+6*x+8*x^3-9*x^2)/(x-1)/(2*x-1)/(x^2+1) lgdogf] A077854 6.43475 [(17*f(x)+64)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077854 9.57170 [-(8*x^3-9*x^2+6*x-3)/(2*x^4-3*x^3+3*x^2-3*x+1) lgdogf] A077855 16.3087 [1/(x-1)/(x^3-x^2+2*x-1) ogf] A077855 18.2510 [-(-3+6*x+4*x^3-6*x^2)/(x-1)/(x^3-x^2+2*x-1) lgdogf] A077855 6.60434 [-(3*f(x)-2)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077855 9.98906 [-(-4*x^3+6*x^2-6*x+3)/(-x^4+2*x^3-3*x^2+3*x-1) lgdogf] A077856 12.8704 [-(-4*x^3+6*x-3)/(-x^4+3*x^2-3*x+1) lgdogf] A077856 22.2622 [-1/(x-1)/(x^3+x^2-2*x+1) ogf] A077856 24.7612 [-(3-6*x+4*x^3)/(x-1)/(x^3+x^2-2*x+1) lgdogf] A077856 8.23703 [(29*f(x)-2)*(f(x)*x^4-3*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077857 10.1852 [-(-8*x^3+3*x^2+6*x-3)/(-2*x^4+x^3+3*x^2-3*x+1) lgdogf] A077857 16.6290 [-1/(x-1)/(2*x^3+x^2-2*x+1) ogf] A077857 19.6761 [-(3-6*x-3*x^2+8*x^3)/(x-1)/(2*x^3+x^2-2*x+1) lgdogf] A077857 6.51855 [-(399*f(x)+128)*(2*f(x)*x^4-f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077858 10.2013 [-(8*x^3-12*x^2+8*x-3)/(2*x^4-4*x^3+4*x^2-3*x+1) lgdogf] A077858 16.9074 [-(-3+8*x+8*x^3-12*x^2)/(x-1)/(2*x^3-2*x^2+2*x-1) lgdogf] A077858 18.3624 [1/(x-1)/(2*x^3-2*x^2+2*x-1) ogf] A077858 7.00262 [(4*f(x)+11)*(2*f(x)*x^4-4*f(x)*x^3+4*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077859 14.5935 [-(-4*x^2+5*x-3)/(-x^3+2*x^2-2*x+1) lgdogf] A077859 19.0609 [1/(x^2-x+1)/(x-1)^2 ogf] A077859 28.2130 [x^5-x^2-x+3 ogf_with_Euler_transform] A077859 29.5731 [-(-5*x+3+4*x^2)/(x-1)/(x^2-x+1) lgdogf] A077859 4.76522 [{(-n-4)*a(n+4)+(9+2*n)*a(n+3)+(-9-2*n)*a(n+2)+(5+n)*a(n+1),a(0)=1,a(1)=3,a(2)=5,a(3)=6} ogf] A077859 7.9151 [(3*f(x)+14)*(f(x)*x^4-3*f(x)*x^3+4*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A077860 13.3072 [-(-6*x^2+8*x-3)/(-2*x^3+4*x^2-3*x+1) lgdogf] A077860 23.0179 [-1/(x-1)/(2*x^2-2*x+1) ogf] A077860 7.60414 [{a(n+3)-3*a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A077860 8.26858 [-(4*f(x)-9)*(2*f(x)*x^3-4*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077861 10.0034 [-(4*x^3+3*x^2-8*x+3)/(x^4+x^3-4*x^2+3*x-1) lgdogf] A077861 16.3320 [-1/(x-1)/(x^3+2*x^2-2*x+1) ogf] A077861 6.66891 [(805*f(x)-34)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077862 12.3743 [-(8*x^3-8*x+3)/(2*x^4-4*x^2+3*x-1) lgdogf] A077862 19.3160 [-1/(x-1)/(2*x^3+2*x^2-2*x+1) ogf] A077862 7.61498 [-(13*f(x)-1)*(2*f(x)*x^4-4*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A077863 12.3467 [-(8*x^3-2*x-2)/(2*x^4-x^2-2*x+1) lgdogf] A077863 19.9058 [-2*(-1-x+4*x^3)/(x-1)/(2*x^3+2*x^2+x-1) lgdogf] A077863 21.3565 [1/(x-1)/(2*x^3+2*x^2+x-1) ogf] A077863 7.98169 [(f(x)-4)*(2*f(x)*x^4-f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077864 10.2273 [-(4*x^3+3*x^2-2*x-2)/(x^4+x^3-x^2-2*x+1) lgdogf] A077864 16.6976 [1/(x-1)/(x^3+2*x^2+x-1) ogf] A077864 18.7023 [-(-2-2*x+4*x^3+3*x^2)/(x-1)/(x^3+2*x^2+x-1) lgdogf] A077864 6.70642 [-(13*f(x)-6)*(f(x)*x^4+f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077865 10.1682 [-(4*x^3-9*x^2+2*x+2)/(x^4-3*x^3+x^2+2*x-1) lgdogf] A077865 16.6012 [-1/(x-1)/(x^3-2*x^2-x+1) ogf] A077865 19.0268 [-(2+2*x+4*x^3-9*x^2)/(x-1)/(x^3-2*x^2-x+1) lgdogf] A077865 6.56015 [-(509*f(x)-86)*(f(x)*x^4-3*f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077866 13.1402 [-(-8*x^2+4*x+2)/(-2*x^3+2*x^2+x-1) lgdogf] A077866 17.1628 [-1/(2*x^2-1)/(x-1)^2 ogf] A077866 25.0311 [-2*(-1-2*x+4*x^2)/(x-1)/(2*x^2-1) lgdogf] A077866 4.26891 [{(-n-4)*a(n+4)+(5+n)*a(n+3)+(8+2*n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=8} ogf] A077866 6.8372 [-(49*f(x)-48)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077867 12.4264 [-(8*x^3-9*x^2+2)/(2*x^4-3*x^3+2*x-1) lgdogf] A077867 22.8377 [-1/(x-1)/(2*x^3-x^2-x+1) ogf] A077867 6.81448 [{-a(n+4)+2*a(n+3)-3*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=5} ogf] A077867 8.20385 [(259*f(x)-736)*(2*f(x)*x^4-3*f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A077868 10.2786 [-(4*x^3-3*x^2+2*x-2)/(x^4-x^3+x^2-2*x+1) lgdogf] A077868 16.7814 [1/(x-1)/(x^3+x-1) ogf] A077868 21.8199 [-(-2+2*x+4*x^3-3*x^2)/(x-1)/(x^3+x-1) lgdogf] A077868 7.0281 [(2*f(x)+1)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077869 11.2810 [-(4*x^3-3*x^2-2*x+2)/(x^4-x^3-x^2+2*x-1) lgdogf] A077869 18.4179 [-1/(x-1)/(x^3-x+1) ogf] A077869 27.8414 [-(2-2*x-3*x^2+4*x^3)/(x-1)/(x^3-x+1) lgdogf] A077869 7.71348 [(f(x)+6)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077870 10.7680 [-(8*x^3-6*x^2-2*x+2)/(2*x^4-2*x^3-x^2+2*x-1) lgdogf] A077870 17.5805 [-1/(x-1)/(x+1)/(2*x^2-2*x+1) ogf] A077870 20.2252 [-2*(1-x-3*x^2+4*x^3)/(x-1)/(x+1)/(2*x^2-2*x+1) lgdogf] A077870 7.30038 [(3*f(x)-10)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077871 10.4809 [-(8*x^3-9*x^2+4*x-2)/(2*x^4-3*x^3+2*x^2-2*x+1) lgdogf] A077871 17.1117 [1/(x-1)/(2*x^3-x^2+x-1) ogf] A077871 19.1432 [-(-2+4*x+8*x^3-9*x^2)/(x-1)/(2*x^3-x^2+x-1) lgdogf] A077871 6.70778 [-(235*f(x)+416)*(2*f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077872 13.4998 [-(-4*x^3+4*x-2)/(-x^4+2*x^2-2*x+1) lgdogf] A077872 23.3509 [-1/(x-1)/(x^3+x^2-x+1) ogf] A077872 26.2698 [-2*(1-2*x+2*x^3)/(x-1)/(x^3+x^2-x+1) lgdogf] A077872 8.3882 [-(7*f(x)-1)*(f(x)*x^4-2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077873 10.5589 [-(-8*x^3+3*x^2+4*x-2)/(-2*x^4+x^3+2*x^2-2*x+1) lgdogf] A077873 17.2390 [-1/(x-1)/(2*x^3+x^2-x+1) ogf] A077873 21.5361 [-(2-4*x-3*x^2+8*x^3)/(x-1)/(2*x^3+x^2-x+1) lgdogf] A077873 7.09843 [(79*f(x)+96)*(2*f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077874 13.1146 [-(8*x^2-4*x+2)/(2*x^3-2*x^2+x-1) lgdogf] A077874 17.1292 [1/(2*x^2+1)/(x-1)^2 ogf] A077874 27.4177 [-2*(-2*x+1+4*x^2)/(x-1)/(2*x^2+1) lgdogf] A077874 4.28231 [{(-n-4)*a(n+4)+(5+n)*a(n+3)+(-8-2*n)*a(n+2)+(10+2*n)*a(n+1),a(0)=1,a(1)=2,a(2)=1,a(3)=0} ogf] A077874 7.05321 [(23*f(x)+32)*(2*f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077875 10.7142 [-(4*x^3-9*x^2+6*x-2)/(x^4-3*x^3+3*x^2-2*x+1) lgdogf] A077875 17.4926 [1/(x-1)/(x^3-2*x^2+x-1) ogf] A077875 21.8537 [-(-2+6*x-9*x^2+4*x^3)/(x-1)/(x^3-2*x^2+x-1) lgdogf] A077875 6.9124 [-(113*f(x)+58)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077876 13.1011 [-(-6*x^2+6*x-2)/(-2*x^3+3*x^2-2*x+1) lgdogf] A077876 22.6614 [-1/(x-1)/(2*x^2-x+1) ogf] A077876 26.6879 [-2*(1-3*x+3*x^2)/(x-1)/(2*x^2-x+1) lgdogf] A077876 7.48636 [{a(n+3)-2*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=1} ogf] A077876 7.98545 [-(31*f(x)-76)*(2*f(x)*x^3-3*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077877 10.2587 [-(4*x^3+3*x^2-6*x+2)/(x^4+x^3-3*x^2+2*x-1) lgdogf] A077877 16.7490 [-1/(x-1)/(x^3+2*x^2-x+1) ogf] A077877 20.9551 [-(2-6*x+3*x^2+4*x^3)/(x-1)/(x^3+2*x^2-x+1) lgdogf] A077877 6.83916 [(391*f(x)-26)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077878 12.6747 [-(-8*x^3+6*x-2)/(-2*x^4+3*x^2-2*x+1) lgdogf] A077878 19.7850 [-1/(x-1)/(2*x^3+2*x^2-x+1) ogf] A077878 20.4398 [-2*(x+1)*(2*x-1)^2/(x-1)/(2*x^3+2*x^2-x+1) lgdogf] A077878 7.79982 [-(31*f(x)-4)*(2*f(x)*x^4-3*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077879 12.4690 [-(8*x^3-4*x-1)/(2*x^4-2*x^2-x+1) lgdogf] A077879 17.8084 [-(2*x+1)*(4*x^2-2*x-1)/(x-1)/(2*x^3+2*x^2-1) lgdogf] A077879 19.4637 [1/(x-1)/(2*x^3+2*x^2-1) ogf] A077879 8.06074 [(2*f(x)+1)*(2*f(x)*x^4-2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A077880 14.1408 [-(-4*x^2+5*x+1)/(-x^3+2*x^2-1) lgdogf] A077880 18.8545 [-1/(x^2-x-1)/(x-1)^2 ogf] A077880 29.0574 [-(-1-5*x+4*x^2)/(x-1)/(x^2-x-1) lgdogf] A077880 4.71362 [{(-n-4)*a(n+4)+a(n+3)+(9+2*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=2} ogf] A077880 7.12984 [(19*f(x)-10)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A077881 10.1766 [-(8*x^3-12*x^2+4*x+1)/(2*x^4-4*x^3+2*x^2+x-1) lgdogf] A077881 18.3178 [-1/(x-1)/(2*x^3-2*x^2+1) ogf] A077881 20.2774 [-(1+4*x-12*x^2+8*x^3)/(x-1)/(2*x^3-2*x^2+1) lgdogf] A077881 6.9856 [(3*f(x)-19)*(2*f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A077882 10.6254 [-(8*x^3-3*x^2-2*x-1)/(2*x^4-x^3-x^2-x+1) lgdogf] A077882 16.0383 [x/(x-1)/(2*x^3+x^2-1) ogf] A077882 20.4573 [-(-1-2*x+8*x^3-3*x^2)/(x-1)/(2*x^3+x^2-1) lgdogf] A077882 7.14312 [(33*f(x)+28)*(2*f(x)*x^4-f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-x) ogf] A077883 10.6190 [-(4*x^3-6*x^2+2*x+1)/(x^4-2*x^3+x^2+x-1) lgdogf] A077883 18.8782 [-1/(x-1)/(x^3-x^2+1) ogf] A077883 24.4353 [-(1+2*x-6*x^2+4*x^3)/(x-1)/(x^3-x^2+1) lgdogf] A077883 7.26083 [(f(x)+6)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A077884 10.2646 [-(8*x^3-9*x^2+2*x+1)/(2*x^4-3*x^3+x^2+x-1) lgdogf] A077884 16.7586 [-1/(x-1)/(2*x^3-x^2+1) ogf] A077884 6.78652 [(107*f(x)-512)*(2*f(x)*x^4-3*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A077885 13.1321 [-(8*x^3-6*x^2-1)/(2*x^4-2*x^3-x+1) lgdogf] A077885 21.7800 [1/(x-1)/(2*x^3-1) ogf] A077885 26.5811 [-(-1+8*x^3-6*x^2)/(x-1)/(2*x^3-1) lgdogf] A077885 7.20145 [{-a(n+4)+a(n+3)+2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A077885 8.58636 [-(7*f(x)+10)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x+f(x)-1) ogf] A077886 13.1417 [-(8*x^3-6*x^2+1)/(2*x^4-2*x^3+x-1) lgdogf] A077886 21.7960 [-1/(x-1)/(2*x^3+1) ogf] A077886 30.8063 [-(1-6*x^2+8*x^3)/(x-1)/(2*x^3+1) lgdogf] A077886 7.20673 [{-a(n+4)+a(n+3)-2*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=-1} ogf] A077886 8.67607 [-(2*f(x)-3)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x-f(x)+1) ogf] A077887 14.1944 [-(-8*x^2+x-1)/(-2*x^3+x^2+1) lgdogf] A077887 18.9259 [1/(2*x^2+x+1)/(x-1)^2 ogf] A077887 30.9696 [-(1-x+8*x^2)/(x-1)/(2*x^2+x+1) lgdogf] A077887 4.73147 [{(-n-4)*a(n+4)+a(n+3)+(-3-n)*a(n+2)+(10+2*n)*a(n+1),a(0)=1,a(1)=1,a(2)=0,a(3)=2} ogf] A077887 7.03855 [(563*f(x)+640)*(2*f(x)*x^4-3*f(x)*x^3+f(x)*x^2-f(x)*x+f(x)-1) ogf] A077888 10.8938 [-(-4*x^3+6*x^2-2*x+1)/(-x^4+2*x^3-x^2+x-1) lgdogf] A077888 17.7858 [1/(x-1)/(x^3-x^2-1) ogf] A077888 25.0868 [-(-1+2*x-6*x^2+4*x^3)/(x-1)/(x^3-x^2-1) lgdogf] A077888 7.08541 [-(27*f(x)+22)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2-f(x)*x+f(x)-1) ogf] A077889 13.8824 [-(4*x^3-2*x+1)/(x^4-x^2+x-1) lgdogf] A077889 24.0128 [-1/(x-1)/(x^3+x^2+1) ogf] A077889 31.0914 [-(1-2*x+4*x^3)/(x-1)/(x^3+x^2+1) lgdogf] A077889 8.97447 [(5*f(x)-2)*(f(x)*x^4-f(x)*x^2+f(x)*x-f(x)+1) ogf] A077890 10.4917 [-(-8*x^3+3*x^2+2*x-1)/(-2*x^4+x^3+x^2-x+1) lgdogf] A077890 17.1292 [-1/(x-1)/(x+1)/(2*x^2-x+1) ogf] A077890 20.7383 [-(1-2*x-3*x^2+8*x^3)/(x-1)/(x+1)/(2*x^2-x+1) lgdogf] A077890 7.05321 [(33*f(x)-64)*(2*f(x)*x^4-f(x)*x^3-f(x)*x^2+f(x)*x-f(x)+1) ogf] A077891 10.0404 [-(-8*x^3+12*x^2-4*x+1)/(-2*x^4+4*x^3-2*x^2+x-1) lgdogf] A077891 18.0727 [1/(x-1)/(2*x^3-2*x^2-1) ogf] A077891 6.89214 [(11*f(x)+7)*(2*f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A077892 10.2173 [-(-4*x^3+9*x^2-4*x+1)/(-x^4+3*x^3-2*x^2+x-1) lgdogf] A077892 18.1641 [1/(x-1)/(x^3-2*x^2-1) ogf] A077892 6.59181 [-(391*f(x)+74)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A077893 2.87894 [(f(x)-1)*(2*f(x)*x^4+f(x)*x^2-f(x)+x+1) ogf] A077893 4.99408 [-(x+1)/(x^2+1)/(2*x^2-1) ogf] A077894 10.3592 [-(-4*x^3-3*x^2+4*x-1)/(-x^4-x^3+2*x^2-x+1) lgdogf] A077894 16.9130 [-1/(x-1)/(x^3+2*x^2+1) ogf] A077894 22.4213 [-(1-4*x+3*x^2+4*x^3)/(x-1)/(x^3+2*x^2+1) lgdogf] A077894 6.79293 [-(49*f(x)-6)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A077895 13.3738 [-(-8*x^3+4*x-1)/(-2*x^4+2*x^2-x+1) lgdogf] A077895 20.8762 [-1/(x-1)/(2*x^3+2*x^2+1) ogf] A077895 20.8970 [-(2*x-1)*(4*x^2+2*x-1)/(x-1)/(2*x^3+2*x^2+1) lgdogf] A077895 8.30996 [-(4*f(x)-1)*(2*f(x)*x^4-2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A077896 13.9541 [-(-8*x^3+6*x)/(-2*x^4+3*x^2-1) lgdogf] A077896 16.1777 [-a(n+4)+3*a(n+2)-2*a(n),a(0)=0,a(1)=6,a(2)=0,a(3)=10 lgdogf] A077896 21.1197 [1/(x-1)/(x+1)/(2*x^2-1) ogf] A077896 9.41482 [(31*f(x)+50)*(2*f(x)*x^4-3*f(x)*x^2+f(x)-1) ogf] A077897 11.5696 [-(-4*x^3-3*x^2+6*x)/(-x^4-x^3+3*x^2-1) lgdogf] A077897 18.5113 [1/(x-1)/(x^3+2*x^2-x-1) ogf] A077897 22.7583 [-x*(-6+3*x+4*x^2)/(x-1)/(x^3+2*x^2-x-1) lgdogf] A077897 8.16674 [(195*f(x)+22)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+f(x)-1) ogf] A077898 19.7322 [6*x/(-2*x^2+x+1) lgdogf] A077898 21.3321 [1/(2*x+1)/(x-1)^2 ogf] A077898 46.4171 [-6*x/(2*x+1)/(x-1) lgdogf] A077898 8.48697 [{a(n+3)-3*a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A077898 8.8684 [-(313*f(x)+416)*(2*f(x)*x^3-3*f(x)*x^2+f(x)-1) ogf] A077899 11.0688 [-(-4*x^3+9*x^2-6*x)/(-x^4+3*x^3-3*x^2+1) lgdogf] A077899 17.7102 [-1/(x-1)/(x^3-2*x^2+x+1) ogf] A077899 22.1789 [-x*(6-9*x+4*x^2)/(x-1)/(x^3-2*x^2+x+1) lgdogf] A077899 8.05008 [(f(x)+2)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-f(x)+1) ogf] A077900 10.3533 [2*f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2-f(x)+1 ogf] A077900 10.9206 [-(-8*x^3+12*x^2-6*x)/(-2*x^4+4*x^3-3*x^2+1) lgdogf] A077900 17.7156 [-1/(x-1)/(2*x^3-2*x^2+x+1) ogf] A077900 19.9801 [-2*x*(3-6*x+4*x^2)/(x-1)/(2*x^3-2*x^2+x+1) lgdogf] A077901 12.1332 [-(-8*x^3+3*x^2+4*x)/(-2*x^4+x^3+2*x^2-1) lgdogf] A077901 19.4130 [1/(x-1)/(2*x^3+x^2-x-1) ogf] A077901 8.64938 [(31*f(x)+32)*(2*f(x)*x^4-f(x)*x^3-2*f(x)*x^2+f(x)-1) ogf] A077902 11.7211 [-(4*x^3-6*x^2+4*x)/(x^4-2*x^3+2*x^2-1) lgdogf] A077902 20.5834 [-1/(x-1)/(x^3-x^2+x+1) ogf] A077902 23.6443 [-2*x*(2-3*x+2*x^2)/(x-1)/(x^3-x^2+x+1) lgdogf] A077902 8.1934 [-(f(x)-1)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-f(x)+1) ogf] A077903 10.8636 [-(8*x^3-9*x^2+4*x)/(2*x^4-3*x^3+2*x^2-1) lgdogf] A077903 17.3817 [-1/(2*x+1)/(x-1)/(x^2-x+1) ogf] A077903 7.4493 [-(65*f(x)-96)*(2*f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-f(x)+1) ogf] A077904 16.5270 [-(8*x^2+2*x)/(2*x^3-x-1) lgdogf] A077904 19.0979 [1/(2*x^2+2*x+1)/(x-1)^2 ogf] A077904 29.1550 [-2*x*(4*x+1)/(x-1)/(2*x^2+2*x+1) lgdogf] A077904 4.77448 [{(n+4)*a(n+4)+(n+3)*a(n+3)-2*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A077904 8.68087 [(f(x)+1)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x^2+f(x)-1) ogf] A077905 12.6435 [-(-4*x^3+3*x^2+2*x)/(-x^4+x^3+x^2-1) lgdogf] A077905 22.2033 [1/(x-1)/(x^3-x-1) ogf] A077905 31.4351 [-x*(-2-3*x+4*x^2)/(x-1)/(x^3-x-1) lgdogf] A077905 9.0132 [(11*f(x)+10)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+f(x)-1) ogf] A077906 11.5278 [-(-8*x^3+6*x^2-2*x)/(-2*x^4+2*x^3-x^2+1) lgdogf] A077906 18.4444 [-1/(x-1)/(2*x^3+x+1) ogf] A077906 24.6950 [-2*x*(1-3*x+4*x^2)/(x-1)/(2*x^3+x+1) lgdogf] A077906 8.73682 [-f(x)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2-f(x)+1) ogf] A077907 13.7284 [-(-8*x^3+9*x^2)/(-2*x^4+3*x^3-1) lgdogf] A077907 16.3682 [-a(n+4)+3*a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=9,a(3)=-8 lgdogf] A077907 22.2622 [1/(x-1)/(2*x^3-x^2-x-1) ogf] A077907 9.46785 [(3385*f(x)+3176)*(2*f(x)*x^4-3*f(x)*x^3+f(x)-1) ogf] A077908 10.1526 [(177*f(x)+79)*(f(x)*x^4-2*f(x)*x^3+f(x)-1) ogf] A077908 14.2137 [-(-4*x^3+6*x^2)/(-x^4+2*x^3-1) lgdogf] A077908 23.0492 [1/(x-1)/(x^3-x^2-x-1) ogf] A077908 27.3841 [-2*x^2*(2*x-3)/(x-1)/(x^3-x^2-x-1) lgdogf] A077909 14.2856 [-(-8*x^3+3*x^2)/(-2*x^4+x^3+1) lgdogf] A077909 23.1659 [-1/(x-1)/(2*x^3+x^2+x+1) ogf] A077909 26.9611 [-x^2*(-3+8*x)/(x-1)/(2*x^3+x^2+x+1) lgdogf] A077909 9.63076 [-(105*f(x)-104)*(2*f(x)*x^4-f(x)*x^3-f(x)+1) ogf] A077910 11.1914 [-(8*x^3-12*x^2+2*x)/(2*x^4-4*x^3+x^2+1) lgdogf] A077910 18.1550 [1/(x-1)/(2*x^3-2*x^2-x-1) ogf] A077910 20.5857 [-2*x*(1-6*x+4*x^2)/(x-1)/(2*x^3-2*x^2-x-1) lgdogf] A077910 8.08885 [(38*f(x)+13)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+f(x)-1) ogf] A077911 11.6802 [-(4*x^3-9*x^2+2*x)/(x^4-3*x^3+x^2+1) lgdogf] A077911 20.5116 [1/(x-1)/(x^3-2*x^2-x-1) ogf] A077911 23.0969 [-x*(-1+4*x)*(x-2)/(x-1)/(x^3-2*x^2-x-1) lgdogf] A077911 8.24486 [(299*f(x)+30)*(f(x)*x^4-3*f(x)*x^3+f(x)*x^2+f(x)-1) ogf] A077912 14.3565 [2*f(x)*x^3-f(x)*x^2-f(x)+1 ogf] A077912 15.1256 [-(6*x^2-2*x)/(2*x^3-x^2-1) lgdogf] A077912 22.8928 [-1/(x-1)/(2*x^2+x+1) ogf] A077912 30.8012 [-2*x*(3*x-1)/(x-1)/(2*x^2+x+1) lgdogf] A077912 9.10788 [{a(n+3)+a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A077913 12.1830 [-(-4*x^3-3*x^2+2*x)/(-x^4-x^3+x^2+1) lgdogf] A077913 19.4928 [-1/(x-1)/(x^3+2*x^2+x+1) ogf] A077913 24.5180 [-x*(-2+3*x+4*x^2)/(x-1)/(x^3+2*x^2+x+1) lgdogf] A077913 8.35406 [-(31*f(x)-10)*(f(x)*x^4+f(x)*x^3-f(x)*x^2-f(x)+1) ogf] A077915 12.1799 [-(8*x^3-8*x+1)/(2*x^4-4*x^2+x+1) lgdogf] A077915 19.0126 [1/(x-1)/(2*x^3+2*x^2-2*x-1) ogf] A077915 20.4322 [-(1-8*x+8*x^3)/(x-1)/(2*x^3+2*x^2-2*x-1) lgdogf] A077915 7.49534 [-(11*f(x)+1)*(2*f(x)*x^4-4*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077916 11.9042 [-(4*x^2+7*x-1)/(x^3+2*x^2-2*x-1) lgdogf] A077916 16.9304 [1/(x^2+3*x+1)/(x-1)^2 ogf] A077916 24.2207 [-(-1+7*x+4*x^2)/(x-1)/(x^2+3*x+1) lgdogf] A077916 3.84782 [{(-n-4)*a(n+4)+(-7-2*n)*a(n+3)+(11+2*n)*a(n+2)+(5+n)*a(n+1),a(0)=1,a(1)=-1,a(2)=5,a(3)=-10} ogf] A077916 6.40225 [(103*f(x)+6)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077917 12.2762 [-(6*x^2-8*x+1)/(2*x^3-4*x^2+x+1) lgdogf] A077917 19.1629 [1/(x-1)/(2*x^2-2*x-1) ogf] A077917 24.2085 [-(1-8*x+6*x^2)/(x-1)/(2*x^2-2*x-1) lgdogf] A077917 7.01497 [{-a(n+3)-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=5} ogf] A077917 7.48263 [-(24*f(x)+11)*(2*f(x)*x^3-4*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077918 10.1186 [-(4*x^3-9*x^2+8*x-1)/(x^4-3*x^3+4*x^2-x-1) lgdogf] A077918 16.5201 [-1/(x-1)/(x^3-2*x^2+2*x+1) ogf] A077918 18.8200 [-(-1+8*x-9*x^2+4*x^3)/(x-1)/(x^3-2*x^2+2*x+1) lgdogf] A077918 6.80239 [(25*f(x)+38)*(f(x)*x^4-3*f(x)*x^3+4*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077919 16.6962 [-(-1+8*x-12*x^2+8*x^3)/(x-1)/(2*x^3-2*x^2+2*x+1) lgdogf] A077919 17.0610 [-1/(x-1)/(2*x^3-2*x^2+2*x+1) ogf] A077919 6.34499 [-(8*f(x)-9)*(2*f(x)*x^4-4*f(x)*x^3+4*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077919 9.47832 [-(8*x^3-12*x^2+8*x-1)/(2*x^4-4*x^3+4*x^2-x-1) lgdogf] A077920 12.7295 [-(4*x^3-6*x+1)/(x^4-3*x^2+x+1) lgdogf] A077920 22.0186 [1/(x-1)/(x^3+x^2-2*x-1) ogf] A077920 23.7957 [-(1-6*x+4*x^3)/(x-1)/(x^3+x^2-2*x-1) lgdogf] A077920 7.83352 [-(25*f(x)+2)*(f(x)*x^4-3*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077921 11.8580 [-(-3*x^2+6*x-1)/(-x^3+3*x^2-x-1) lgdogf] A077921 18.5100 [1/(x-1)/(x^2-2*x-1) ogf] A077921 6.77600 [{-a(n+3)-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=4} ogf] A077921 7.15954 [-(119*f(x)+25)*(f(x)*x^3-3*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077922 17.6278 [-1/(x-1)/(x^3-x^2+2*x+1) ogf] A077922 19.3262 [-(-1+6*x-6*x^2+4*x^3)/(x-1)/(x^3-x^2+2*x+1) lgdogf] A077922 6.50206 [-(23*f(x)+2)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077922 9.91565 [-(4*x^3-6*x^2+6*x-1)/(x^4-2*x^3+3*x^2-x-1) lgdogf] A077923 17.0816 [-1/(x-1)/(2*x^3-x^2+2*x+1) ogf] A077923 17.9130 [-(-1+6*x-9*x^2+8*x^3)/(x-1)/(2*x^3-x^2+2*x+1) lgdogf] A077923 6.40559 [(235*f(x)-64)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077923 9.60839 [-(8*x^3-9*x^2+6*x-1)/(2*x^4-3*x^3+3*x^2-x-1) lgdogf] A077924 10.2319 [-(8*x^3-6*x^2-4*x+1)/(2*x^4-2*x^3-2*x^2+x+1) lgdogf] A077924 18.1900 [1/(x-1)/(2*x^3-2*x-1) ogf] A077924 21.9588 [-(1-4*x-6*x^2+8*x^3)/(x-1)/(2*x^3-2*x-1) lgdogf] A077924 6.87857 [(29*f(x)+18)*(2*f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077925 16.0155 [-(4*x-1)/(2*x^2-x-1) lgdogf] A077925 26.2771 [1/4/x*(x-1+(9*x^2-2*x+1)^(1/2)) revogf] A077925 26.5085 [-1/(2*x+1)/(x-1) ogf] A077925 35.4169 [-(-1+4*x)/(2*x+1)/(x-1) lgdogf] A077925 8.83617 [-(11*f(x)-10)*(2*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077925 9.37495 [{a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-1} ogf] A077926 10.5791 [-(4*x^3-3*x^2+4*x-1)/(x^4-x^3+2*x^2-x-1) lgdogf] A077926 17.2720 [-1/(x-1)/(x^3+2*x+1) ogf] A077926 22.8761 [-(-1+4*x-3*x^2+4*x^3)/(x-1)/(x^3+2*x+1) lgdogf] A077926 7.17226 [(13*f(x)-6)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077927 16.1263 [-1/(x-1)/(2*x^3+2*x+1) ogf] A077927 20.2873 [-(-1+4*x-6*x^2+8*x^3)/(x-1)/(2*x^3+2*x+1) lgdogf] A077927 6.53048 [-(3*f(x)-2)*(2*f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077927 9.87736 [-(8*x^3-6*x^2+4*x-1)/(2*x^4-2*x^3+2*x^2-x-1) lgdogf] A077928 10.4211 [-(8*x^3-9*x^2-2*x+1)/(2*x^4-3*x^3-x^2+x+1) lgdogf] A077928 18.5264 [1/(x-1)/(2*x^3-x^2-2*x-1) ogf] A077928 20.1212 [-(1-2*x-9*x^2+8*x^3)/(x-1)/(2*x^3-x^2-2*x-1) lgdogf] A077928 6.77794 [(2803*f(x)+1088)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+f(x)*x+f(x)-1) ogf] A077929 10.4683 [-(4*x^3-6*x^2-2*x+1)/(x^4-2*x^3-x^2+x+1) lgdogf] A077929 17.0911 [1/(x-1)/(x^3-x^2-2*x-1) ogf] A077929 20.5906 [-(1+2*x)*(2*x^2-4*x+1)/(x-1)/(x^3-x^2-2*x-1) lgdogf] A077929 6.97888 [(241*f(x)+42)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+f(x)*x+f(x)-1) ogf] A077930 12.7316 [-(-4*x^3-2*x+1)/(-x^4-x^2+x+1) lgdogf] A077930 19.8737 [-1/(x-1)/(x^3+x^2+2*x+1) ogf] A077930 23.4969 [-(-1+2*x+4*x^3)/(x-1)/(x^3+x^2+2*x+1) lgdogf] A077930 8.57705 [-f(x)*(f(x)*x^4+f(x)*x^2-f(x)*x-f(x)+1) ogf] A077931 10.0439 [-(-8*x^3+3*x^2-2*x+1)/(-2*x^4+x^3-x^2+x+1) lgdogf] A077931 17.8558 [-1/(2*x+1)/(x-1)/(x^2+1) ogf] A077931 19.7611 [-(-1+2*x-3*x^2+8*x^3)/(x-1)/(1+2*x)/(1+x^2) lgdogf] A077931 7.37164 [f(x)*(2*f(x)*x^4-f(x)*x^3+f(x)*x^2-f(x)*x-f(x)+1) ogf] A077932 11.9841 [-(8*x^3-12*x^2+1)/(2*x^4-4*x^3+x+1) lgdogf] A077932 20.4059 [-(1-12*x^2+8*x^3)/(x-1)/(2*x^3-2*x^2-2*x-1) lgdogf] A077932 22.3487 [1/(x-1)/(2*x^3-2*x^2-2*x-1) ogf] A077932 7.80095 [-(148*f(x)+31)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x+f(x)-1) ogf] A077933 12.2059 [-(4*x^3-9*x^2+1)/(x^4-3*x^3+x+1) lgdogf] A077933 22.2255 [-(1-9*x^2+4*x^3)/(x-1)/(x^3-2*x^2-2*x-1) lgdogf] A077933 22.4324 [1/(x-1)/(x^3-2*x^2-2*x-1) ogf] A077933 7.68517 [-(1685*f(x)+106)*(f(x)*x^4-3*f(x)*x^3+f(x)*x+f(x)-1) ogf] A077934 3.30866 [-(2*x^5+x^3+x^2+x+1)/(2*x^2-1)/(2*x^2+1)/(x^4+1) ogf] A077935 5.19043 [-2*(1+3*x^2+2*x)/(2*x^2-1+2*x+2*x^3) lgdogf] A077935 5.34292 [-1/(2*x^3+2*x^2+2*x-1) ogf] A077936 11.9960 [-(-3*x^2-4*x-2)/(-x^3-2*x^2-2*x+1) lgdogf] A077936 20.7498 [-1/(x^3+2*x^2+2*x-1) ogf] A077936 23.5711 [-(2+4*x+3*x^2)/(2*x^2-1+2*x+x^3) lgdogf] A077936 6.85486 [{a(n+3)-2*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A077936 7.67743 [(17*f(x)-9)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077937 11.6916 [-(-6*x^2+4*x+2)/(-2*x^3+2*x^2+2*x-1) lgdogf] A077937 19.8557 [-2*(3*x+1)*(x-1)/(-2*x^2+1-2*x+2*x^3) lgdogf] A077937 20.2234 [1/(2*x^3-2*x^2-2*x+1) ogf] A077937 6.68093 [{a(n+3)-2*a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A077937 7.48263 [(11*f(x)+5)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077938 12.1699 [-(6*x^2+2*x+2)/(2*x^3+x^2+2*x-1) lgdogf] A077938 21.0507 [-1/(2*x^3+x^2+2*x-1) ogf] A077938 23.9147 [-2*(1+x+3*x^2)/(x^2-1+2*x+2*x^3) lgdogf] A077938 6.95424 [{a(n+3)-2*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A077938 7.41785 [-(53*f(x)-20)*(2*f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077939 11.7979 [-(-3*x^2-2*x-2)/(-x^3-x^2-2*x+1) lgdogf] A077939 20.4072 [-1/(x^3+x^2+2*x-1) ogf] A077939 24.7154 [-(2+2*x+3*x^2)/(x^2-1+2*x+x^3) lgdogf] A077939 6.74166 [{a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A077939 7.62693 [(6*f(x)-1)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077940 15.8851 [-(6*x^2-2)/(2*x^3-2*x+1) lgdogf] A077940 28.4836 [1/(2*x^3-2*x+1) ogf] A077940 32.8084 [-2*(-1+3*x^2)/(1-2*x+2*x^3) lgdogf] A077940 8.78750 [{-a(n+3)+2*a(n+2)-2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A077940 9.71794 [-(f(x)-1)*(2*f(x)*x^3-2*f(x)*x+f(x)-1) ogf] A077941 13.0673 [-(3*x^2+2*x-2)/(x^3+x^2-2*x+1) lgdogf] A077941 20.3977 [1/(x^3+x^2-2*x+1) ogf] A077941 28.9307 [-(-2+2*x+3*x^2)/(x^3+x^2-2*x+1) lgdogf] A077941 7.46702 [{-a(n+3)+2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A077941 8.11947 [-(4*f(x)-1)*(f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077942 12.7652 [-(6*x^2+2*x-2)/(2*x^3+x^2-2*x+1) lgdogf] A077942 19.9262 [1/(2*x^3+x^2-2*x+1) ogf] A077942 26.4220 [-2*(-1+x+3*x^2)/(2*x^3+x^2-2*x+1) lgdogf] A077942 7.29441 [{-a(n+3)+2*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A077942 7.7073 [-(109*f(x)-44)*(2*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077943 13.1402 [-(-6*x^2+4*x-2)/(-2*x^3+2*x^2-2*x+1) lgdogf] A077943 21.7375 [-2*(-2*x+1+3*x^2)/(-2*x^2-1+2*x+2*x^3) lgdogf] A077943 22.7291 [-1/(2*x^3-2*x^2+2*x-1) ogf] A077943 7.50871 [{a(n+3)-2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A077943 8.16481 [-(f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A077944 12.7652 [-(-3*x^2-4*x+2)/(-x^3-2*x^2+2*x-1) lgdogf] A077944 19.9262 [1/(x^3+2*x^2-2*x+1) ogf] A077944 26.5331 [-(-2+4*x+3*x^2)/(2*x^2+1-2*x+x^3) lgdogf] A077944 7.29441 [{-a(n+3)+2*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A077944 7.85552 [-(17*f(x)-2)*(f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077945 13.0896 [-(-6*x^2-4*x+2)/(-2*x^3-2*x^2+2*x-1) lgdogf] A077945 20.4325 [1/(2*x^3+2*x^2-2*x+1) ogf] A077945 24.7749 [-2*(x+1)*(3*x-1)/(2*x^2+1-2*x+2*x^3) lgdogf] A077945 7.47976 [{-a(n+3)+2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A077945 8.05512 [-(21*f(x)-5)*(2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A077946 12.7841 [-(-6*x^2-4*x-1)/(-2*x^3-2*x^2-x+1) lgdogf] A077946 22.1131 [-1/(2*x^3+2*x^2+x-1) ogf] A077946 25.1312 [-(1+4*x+6*x^2)/(2*x^2-1+x+2*x^3) lgdogf] A077946 7.30521 [{a(n+3)-a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A077946 7.94352 [-(3*f(x)-2)*(2*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A077947 12.5548 [-(6*x^2+2*x+1)/(2*x^3+x^2+x-1) lgdogf] A077947 21.7165 [-1/(2*x-1)/(x^2+x+1) ogf] A077947 24.6652 [-(1+2*x+6*x^2)/(2*x-1)/(x^2+x+1) lgdogf] A077947 7.17419 [{a(n+3)-a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A077947 8.11625 [(9*f(x)-4)*(2*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A077948 13.7099 [-(-6*x^2+2*x+1)/(-2*x^3+x^2+x-1) lgdogf] A077948 21.4008 [1/(2*x^3-x^2-x+1) ogf] A077948 29.9012 [-(-1-2*x+6*x^2)/(-x^2+1-x+2*x^3) lgdogf] A077948 7.83423 [{a(n+3)-a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A077948 8.51878 [-(f(x)-4)*(2*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-1) ogf] A077949 15.7110 [-(-6*x^2-1)/(-2*x^3-x+1) lgdogf] A077949 28.1715 [-1/(2*x^3+x-1) ogf] A077949 34.8835 [-(1+6*x^2)/(-1+x+2*x^3) lgdogf] A077949 8.69121 [{-a(n+3)+a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A077949 9.61146 [-(f(x)-1)*(2*f(x)*x^3+f(x)*x-f(x)+1) ogf] A077950 10.1916 [-(f(x)-2)*(2*f(x)*x^3-f(x)*x+f(x)-1) ogf] A077950 16.6593 [-(6*x^2-1)/(2*x^3-x+1) lgdogf] A077950 26.2510 [1/(x+1)/(2*x^2-2*x+1) ogf] A077950 30.4286 [-(-1+6*x^2)/(x+1)/(2*x^2-2*x+1) lgdogf] A077950 9.21579 [{-a(n+3)+a(n+2)-2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A077951 13.6921 [-(6*x^2-2*x+1)/(2*x^3-x^2+x-1) lgdogf] A077951 23.6836 [-1/(2*x^3-x^2+x-1) ogf] A077951 27.8889 [-(1-2*x+6*x^2)/(-x^2-1+x+2*x^3) lgdogf] A077951 7.89452 [{a(n+3)-a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A077951 9.22414 [-f(x)*(2*f(x)*x^3-f(x)*x^2+f(x)*x-f(x)+1) ogf] A077952 13.3993 [-(6*x^2+2*x-1)/(2*x^3+x^2-x+1) lgdogf] A077952 23.1771 [1/(2*x^3+x^2-x+1) ogf] A077952 29.7256 [-(-1+2*x+6*x^2)/(x^2+1-x+2*x^3) lgdogf] A077952 7.72571 [{-a(n+3)+a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A077952 8.49063 [(41*f(x)-32)*(2*f(x)*x^3+f(x)*x^2-f(x)*x+f(x)-1) ogf] A077953 11.3504 [-2*f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A077953 13.6560 [-(-6*x^2+4*x-1)/(-2*x^3+2*x^2-x+1) lgdogf] A077953 23.6212 [-1/(x-1)/(2*x^2+1) ogf] A077953 31.5712 [-(1-4*x+6*x^2)/(x-1)/(2*x^2+1) lgdogf] A077953 7.80343 [{a(n+3)-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A077954 13.2642 [-(-3*x^2+4*x-1)/(-x^3+2*x^2-x+1) lgdogf] A077954 22.9435 [-1/(x^3-2*x^2+x-1) ogf] A077954 31.1658 [-(3*x-1)*(x-1)/(x^3-2*x^2+x-1) lgdogf] A077954 7.57954 [{a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A077954 8.57484 [(4*f(x)-3)*(f(x)*x^3-2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A077955 13.3155 [-(3*x^2+4*x-1)/(x^3+2*x^2-x+1) lgdogf] A077955 20.7851 [1/(x^3+2*x^2-x+1) ogf] A077955 29.5397 [-(-1+4*x+3*x^2)/(2*x^2+1-x+x^3) lgdogf] A077955 7.60883 [{-a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A077955 8.27368 [-(6*f(x)-1)*(f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A077956 12.5610 [-(6*x^2+4*x-1)/(2*x^3+2*x^2-x+1) lgdogf] A077956 19.6075 [1/(2*x^3+2*x^2-x+1) ogf] A077956 26.0143 [-(-1+4*x+6*x^2)/(2*x^3+2*x^2-x+1) lgdogf] A077956 7.17774 [{-a(n+3)+a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A077956 8.03907 [(23*f(x)-8)*(2*f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A077957 12.7067 [{a(n+2)-2*a(n),a(0)=1,a(1)=0} ogf] A077957 19.525 [-2*f(x)*x^2+f(x)-1 ogf] A077957 22.2368 [4*x/(-2*x^2+1) lgdogf] A077957 29.9186 [1/2*2^(1/2)*arcsinh(2^(1/2)*x) revegf] A077957 32.0210 [-1/(2*x^2-1) ogf] A077957 59.8371 [-4*x/(-1+2*x^2) lgdogf] A077958 17.6745 [-2*f(x)*x^3+f(x)-1 ogf] A077958 20.1293 [6*x^2/(-2*x^3+1) lgdogf] A077958 28.9862 [-1/(2*x^3-1) ogf] A077958 53.4089 [-6*x^2/(-1+2*x^3) lgdogf] A077958 9.79265 [{a(n+3)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A077959 17.6745 [2*f(x)*x^3+f(x)-1 ogf] A077959 20.1293 [6*x^2/(-2*x^3-1) lgdogf] A077959 24.9881 [1/(2*x^3+1) ogf] A077959 59.9439 [-6*x^2/(1+2*x^3) lgdogf] A077959 9.79265 [{-a(n+3)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A077961 10.9688 [(6*f(x)-5)*(f(x)*x^3-f(x)*x^2-f(x)+1) ogf] A077961 15.8656 [-(3*x^2-2*x)/(x^3-x^2-1) lgdogf] A077961 24.0128 [-1/(x^3-x^2-1) ogf] A077961 41.4552 [-x*(-2+3*x)/(-1-x^2+x^3) lgdogf] A077961 9.55346 [{a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A077962 10.4526 [-(6*f(x)-5)*(f(x)*x^3+f(x)*x^2+f(x)-1) ogf] A077962 15.8656 [-(-3*x^2-2*x)/(-x^3-x^2-1) lgdogf] A077962 26.9234 [1/(x^3+x^2+1) ogf] A077962 45.4100 [-x*(2+3*x)/(1+x^2+x^3) lgdogf] A077962 9.55346 [{-a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A077963 14.3565 [-2*f(x)*x^3-f(x)*x^2-f(x)+1 ogf] A077963 15.1256 [-(-6*x^2-2*x)/(-2*x^3-x^2-1) lgdogf] A077963 25.6677 [1/(x+1)/(2*x^2-x+1) ogf] A077963 30.9295 [-2*x*(3*x+1)/(x+1)/(2*x^2-x+1) lgdogf] A077963 9.10788 [{-a(n+3)-a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A077964 14.5227 [-(6*x^2-4*x)/(2*x^3-2*x^2-1) lgdogf] A077964 24.6446 [-1/(2*x^3-2*x^2-1) ogf] A077964 29.2134 [-2*x*(-2+3*x)/(-1-2*x^2+2*x^3) lgdogf] A077964 8.74486 [{a(n+3)+2*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A077964 9.91795 [(13*f(x)-9)*(2*f(x)*x^3-2*f(x)*x^2-f(x)+1) ogf] A077965 10.0304 [(97*f(x)-33)*(f(x)*x^3-2*f(x)*x^2-f(x)+1) ogf] A077965 14.8665 [-(3*x^2-4*x)/(x^3-2*x^2-1) lgdogf] A077965 22.5006 [-1/(x^3-2*x^2-1) ogf] A077965 34.6399 [-x*(-4+3*x)/(-1-2*x^2+x^3) lgdogf] A077965 8.95185 [{a(n+3)+2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A077966 12.7067 [{-a(n+2)-2*a(n),a(0)=1,a(1)=0} ogf] A077966 19.525 [2*f(x)*x^2+f(x)-1 ogf] A077966 22.2368 [4*x/(-2*x^2-1) lgdogf] A077966 27.6043 [1/(2*x^2+1) ogf] A077966 68.1543 [-4*x/(1+2*x^2) lgdogf] A077967 14.8665 [-(-3*x^2-4*x)/(-x^3-2*x^2-1) lgdogf] A077967 25.2279 [1/(x^3+2*x^2+1) ogf] A077967 37.6842 [-x*(3*x+4)/(1+2*x^2+x^3) lgdogf] A077967 8.95185 [{-a(n+3)-2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A077967 9.56922 [-(97*f(x)-33)*(f(x)*x^3+2*f(x)*x^2+f(x)-1) ogf] A077968 14.5227 [-(-6*x^2-4*x)/(-2*x^3-2*x^2-1) lgdogf] A077968 21.9803 [1/(2*x^3+2*x^2+1) ogf] A077968 31.4327 [-2*x*(2+3*x)/(1+2*x^2+2*x^3) lgdogf] A077968 8.74486 [{-a(n+3)-2*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A077968 9.45665 [-(13*f(x)-9)*(2*f(x)*x^3+2*f(x)*x^2+f(x)-1) ogf] A077970 12.7841 [-(6*x^2-4*x+1)/(2*x^3-2*x^2+x+1) lgdogf] A077970 22.1131 [1/(2*x^3-2*x^2+x+1) ogf] A077970 26.0649 [-(1-4*x+6*x^2)/(-2*x^2+1+x+2*x^3) lgdogf] A077970 7.30521 [{a(n+3)+a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=3} ogf] A077970 7.94352 [-(3*f(x)-2)*(2*f(x)*x^3-2*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077971 13.7099 [-(6*x^2+2*x-1)/(2*x^3+x^2-x-1) lgdogf] A077971 23.7144 [-1/(2*x^3+x^2-x-1) ogf] A077971 30.8658 [-(-1+2*x+6*x^2)/(x^2-1-x+2*x^3) lgdogf] A077971 7.83423 [{a(n+3)+a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A077971 8.51878 [-(f(x)-4)*(2*f(x)*x^3+f(x)*x^2-f(x)*x-f(x)+1) ogf] A077972 12.5548 [-(-6*x^2+2*x-1)/(-2*x^3+x^2-x-1) lgdogf] A077972 19.5978 [1/(2*x+1)/(x^2-x+1) ogf] A077972 26.5540 [-(1-2*x+6*x^2)/(1+2*x)/(x^2-x+1) lgdogf] A077972 7.17419 [{-a(n+3)-a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A077972 7.80106 [-(9*f(x)-4)*(2*f(x)*x^3-f(x)*x^2+f(x)*x+f(x)-1) ogf] A077973 10.6949 [(f(x)-2)*(2*f(x)*x^3-f(x)*x-f(x)+1) ogf] A077973 16.6593 [-(-6*x^2+1)/(-2*x^3+x+1) lgdogf] A077973 26.2510 [-1/(x-1)/(2*x^2+2*x+1) ogf] A077973 30.3044 [-(-1+6*x^2)/(x-1)/(2*x^2+2*x+1) lgdogf] A077973 9.21579 [{-a(n+3)-a(n+2)+2*a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A077974 10.0861 [(f(x)-1)*(2*f(x)*x^3+f(x)*x+f(x)-1) ogf] A077974 15.7110 [-(6*x^2+1)/(2*x^3+x+1) lgdogf] A077974 24.7568 [1/(2*x^3+x+1) ogf] A077974 39.6331 [-(1+6*x^2)/(1+x+2*x^3) lgdogf] A077974 8.69121 [{-a(n+3)-a(n+2)-2*a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A077975 13.3993 [-(-6*x^2+2*x+1)/(-2*x^3+x^2+x+1) lgdogf] A077975 23.1771 [-1/(2*x^3-x^2-x-1) ogf] A077975 28.9142 [-(-1-2*x+6*x^2)/(-x^2-1-x+2*x^3) lgdogf] A077975 7.72571 [{-a(n+3)-a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A077975 8.16718 [-(41*f(x)-32)*(2*f(x)*x^3-f(x)*x^2-f(x)*x-f(x)+1) ogf] A077976 13.6921 [-(-6*x^2-2*x-1)/(-2*x^3-x^2-x-1) lgdogf] A077976 23.6836 [1/(2*x^3+x^2+x+1) ogf] A077976 32.0786 [-(1+2*x+6*x^2)/(x^2+1+x+2*x^3) lgdogf] A077976 7.89452 [{a(n+3)+a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A077976 9.22414 [-f(x)*(2*f(x)*x^3+f(x)*x^2+f(x)*x+f(x)-1) ogf] A077977 12.5610 [-(-6*x^2+4*x+1)/(-2*x^3+2*x^2+x+1) lgdogf] A077977 21.7272 [-1/(2*x^3-2*x^2-x-1) ogf] A077977 25.3561 [-(-1-4*x+6*x^2)/(-2*x^2-1-x+2*x^3) lgdogf] A077977 7.17774 [{-a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A077977 7.72987 [-(23*f(x)-8)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077978 13.3155 [-(-3*x^2+4*x+1)/(-x^3+2*x^2+x+1) lgdogf] A077978 23.0321 [-1/(x^3-2*x^2-x-1) ogf] A077978 28.7333 [-(-1-4*x+3*x^2)/(-2*x^2-1-x+x^3) lgdogf] A077978 7.60883 [{-a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A077978 8.27368 [-(6*f(x)-1)*(f(x)*x^3-2*f(x)*x^2-f(x)*x-f(x)+1) ogf] A077979 13.2642 [-(3*x^2+4*x+1)/(x^3+2*x^2+x+1) lgdogf] A077979 20.7051 [1/(x^3+2*x^2+x+1) ogf] A077979 31.0354 [-(x+1)*(3*x+1)/(2*x^2+1+x+x^3) lgdogf] A077979 7.57954 [{a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A077979 8.57484 [(4*f(x)-3)*(f(x)*x^3+2*f(x)*x^2+f(x)*x+f(x)-1) ogf] A077980 11.3504 [2*f(x)*x^3+2*f(x)*x^2+f(x)*x+f(x)-1 ogf] A077980 13.6560 [-(6*x^2+4*x+1)/(2*x^3+2*x^2+x+1) lgdogf] A077980 23.6212 [1/(x+1)/(2*x^2+1) ogf] A077980 31.6996 [-(1+4*x+6*x^2)/(x+1)/(2*x^2+1) lgdogf] A077980 7.80343 [{a(n+3)+a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A077981 11.6916 [-(6*x^2+4*x-2)/(2*x^3+2*x^2-2*x-1) lgdogf] A077981 20.2234 [-1/(2*x^3+2*x^2-2*x-1) ogf] A077981 21.8244 [-2*(x+1)*(3*x-1)/(2*x^2-1-2*x+2*x^3) lgdogf] A077981 6.68093 [{a(n+3)+2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=6} ogf] A077981 7.19484 [-(11*f(x)+5)*(2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-f(x)+1) ogf] A077983 11.9960 [-(3*x^2-4*x+2)/(x^3-2*x^2+2*x+1) lgdogf] A077983 20.7498 [1/(x^3-2*x^2+2*x+1) ogf] A077983 24.2854 [-(2-4*x+3*x^2)/(-2*x^2+1+2*x+x^3) lgdogf] A077983 6.85486 [{a(n+3)+2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=6} ogf] A077983 7.67743 [(17*f(x)-9)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A077984 12.2065 [-(6*x^2-4*x+2)/(2*x^3-2*x^2+2*x+1) lgdogf] A077984 19.0540 [1/(2*x^3-2*x^2+2*x+1) ogf] A077984 22.0240 [-2*(1-2*x+3*x^2)/(-2*x^2+1+2*x+2*x^3) lgdogf] A077984 6.97512 [{-a(n+3)-2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=6} ogf] A077984 7.58459 [-(f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A077985 16.1684 [-(2*x-2)/(x^2-2*x-1) lgdogf] A077985 23.9369 [1/2/x*(-1+2*x+(1-4*x+8*x^2)^(1/2)) revogf] A077985 26.7614 [-1/(x^2-2*x-1) ogf] A077985 40.6928 [-2*(x-1)/(x^2-1-2*x) lgdogf] A077985 8.92047 [-(29*f(x)-13)*(f(x)*x^2-2*f(x)*x-f(x)+1) ogf] A077985 9.46441 [{a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-2} ogf] A077986 11.7979 [-(3*x^2-2*x+2)/(x^3-x^2+2*x+1) lgdogf] A077986 18.4162 [1/(x^3-x^2+2*x+1) ogf] A077986 6.74166 [{-a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=5} ogf] A077986 7.33074 [-(6*f(x)-1)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A077987 12.1699 [-(-6*x^2+2*x-2)/(-2*x^3+x^2-2*x-1) lgdogf] A077987 18.9970 [1/(2*x^3-x^2+2*x+1) ogf] A077987 24.7360 [-2*(1-x+3*x^2)/(-x^2+1+2*x+2*x^3) lgdogf] A077987 6.95424 [{-a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=5} ogf] A077987 7.71163 [(53*f(x)-20)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A077988 10.1978 [(f(x)-1)*(2*f(x)*x^3-2*f(x)*x-f(x)+1) ogf] A077988 15.8851 [-(-6*x^2+2)/(-2*x^3+2*x+1) lgdogf] A077988 25.0311 [-1/(2*x^3-2*x-1) ogf] A077988 31.7702 [-2*(-1+3*x^2)/(-1-2*x+2*x^3) lgdogf] A077988 8.78750 [{-a(n+3)-2*a(n+2)+2*a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A077989 12.7652 [-(-6*x^2+2*x+2)/(-2*x^3+x^2+2*x+1) lgdogf] A077989 22.0804 [-1/(2*x^3-x^2-2*x-1) ogf] A077989 25.5372 [-2*(-1-x+3*x^2)/(-x^2-1-2*x+2*x^3) lgdogf] A077989 7.29441 [{-a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=-2,a(2)=3} ogf] A077989 8.00955 [(109*f(x)-44)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-f(x)+1) ogf] A077990 13.0673 [-(-3*x^2+2*x+2)/(-x^3+x^2+2*x+1) lgdogf] A077990 20.3977 [-1/(x^3-x^2-2*x-1) ogf] A077990 28.2632 [-(-2-2*x+3*x^2)/(-x^2-1-2*x+x^3) lgdogf] A077990 7.46702 [{-a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=3} ogf] A077990 8.44753 [(4*f(x)-1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x-f(x)+1) ogf] A077991 13.0896 [-(-6*x^2+4*x+2)/(-2*x^3+2*x^2+2*x+1) lgdogf] A077991 22.6414 [-1/(2*x^3-2*x^2-2*x-1) ogf] A077991 24.1053 [-2*(3*x+1)*(x-1)/(-2*x^2-1-2*x+2*x^3) lgdogf] A077991 7.47976 [{-a(n+3)-2*a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A077991 8.37733 [(21*f(x)-5)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-f(x)+1) ogf] A077992 12.7652 [-(-3*x^2+4*x+2)/(-x^3+2*x^2+2*x+1) lgdogf] A077992 22.0804 [-1/(x^3-2*x^2-2*x-1) ogf] A077992 25.6449 [-(-2-4*x+3*x^2)/(-2*x^2-1-2*x+x^3) lgdogf] A077992 7.29441 [{-a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A077992 7.85552 [-(17*f(x)-2)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-f(x)+1) ogf] A077993 13.1402 [-(-6*x^2-4*x-2)/(-2*x^3-2*x^2-2*x-1) lgdogf] A077993 20.5116 [1/(2*x^3+2*x^2+2*x+1) ogf] A077993 25.1254 [-2*(2*x+1+3*x^2)/(2*x^2+1+2*x+2*x^3) lgdogf] A077993 7.50871 [{-a(n+3)-2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A077993 8.16481 [-(f(x)-1)*(2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A077994 2.08604 [(33*f(x)-29)*(2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077994 4.13274 [(x-1)/(2*x^3+2*x^2+2*x-1) ogf] A077995 11.1484 [-(-2*x^3+x^2+4*x+1)/(-x^4-x^3+3*x-1) lgdogf] A077995 15.1450 [(x-1)/(x^3+2*x^2+2*x-1) ogf] A077995 7.16681 [{-a(n+3)+2*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A077995 7.36406 [-(29*f(x)-49)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077996 14.3749 [(x-1)/(2*x^3+x^2+2*x-1) ogf] A077996 16.6281 [-(-1-2*x+4*x^3-5*x^2)/(x-1)/(2*x^3+x^2+2*x-1) lgdogf] A077996 6.80240 [{a(n+3)-2*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A077996 7.39678 [(f(x)-1)*(2*f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077996 9.52336 [-(-4*x^3+5*x^2+2*x+1)/(-2*x^4+x^3-x^2+3*x-1) lgdogf] A077997 10.9220 [-(-2*x^3+2*x^2+2*x+1)/(-x^4-x^2+3*x-1) lgdogf] A077997 14.8374 [(x-1)/(x^3+x^2+2*x-1) ogf] A077997 17.9686 [-(-1-2*x+2*x^3-2*x^2)/(x-1)/(x^3+x^2+2*x-1) lgdogf] A077997 7.02129 [{a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A077997 7.21452 [-(35*f(x)-26)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A077998 10.0525 [-(2*x^3-4*x^2+2*x+1)/(x^4-2*x^3-x^2+3*x-1) lgdogf] A077998 15.1735 [-(x-1)/(x^3-x^2-2*x+1) ogf] A077998 18.8146 [-(1+2*x+2*x^3-4*x^2)/(x-1)/(x^3-x^2-2*x+1) lgdogf] A077998 7.18033 [{-a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A077998 7.44627 [-(23*f(x)-2)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A077999 10.3060 [-(-4*x^3+6*x^2+1)/(-2*x^4+2*x^3-2*x^2+3*x-1) lgdogf] A077999 17.4057 [(x-1)/(2*x^3+2*x-1) ogf] A077999 20.7944 [-(-1+4*x^3-6*x^2)/(x-1)/(2*x^3+2*x-1) lgdogf] A077999 8.33252 [{-a(n+3)+2*a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A077999 9.21478 [(7*f(x)-5)*(2*f(x)*x^3+2*f(x)*x-f(x)-x+1) ogf] A078000 2.22977 [(3*f(x)-4)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A078000 4.33332 [(x-1)/(2*x-1)/(x^2+1) ogf] A078001 11.9113 [-(-2*x^3+2*x^2+2*x-1)/(-x^4+3*x^2-3*x+1) lgdogf] A078001 16.1814 [-(x-1)/(x^3+x^2-2*x+1) ogf] A078001 21.9691 [-(1-2*x-2*x^2+2*x^3)/(x-1)/(x^3+x^2-2*x+1) lgdogf] A078001 7.65728 [{-a(n+3)+2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A078001 8.0151 [-(f(x)-2)*(f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A078002 10.5133 [-(-4*x^3+5*x^2+2*x-1)/(-2*x^4+x^3+3*x^2-3*x+1) lgdogf] A078002 15.8692 [-(x-1)/(2*x^3+x^2-2*x+1) ogf] A078002 20.4565 [-(1-2*x-5*x^2+4*x^3)/(x-1)/(2*x^3+x^2-2*x+1) lgdogf] A078002 7.50951 [{a(n+3)-2*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A078002 7.86042 [-(5*f(x)-4)*(2*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A078003 10.5957 [-(4*x^3-8*x^2+4*x-1)/(2*x^4-4*x^3+4*x^2-3*x+1) lgdogf] A078003 15.9936 [(x-1)/(2*x^3-2*x^2+2*x-1) ogf] A078003 17.8743 [-(-1+4*x+4*x^3-8*x^2)/(x-1)/(2*x^3-2*x^2+2*x-1) lgdogf] A078003 7.63657 [{a(n+3)-2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A078003 7.92204 [-(f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A078004 10.0748 [-(2*x^3-x^2-4*x+1)/(x^4+x^3-4*x^2+3*x-1) lgdogf] A078004 15.2072 [-(x-1)/(x^3+2*x^2-2*x+1) ogf] A078004 20.5857 [-(1-4*x-x^2+2*x^3)/(x-1)/(x^3+2*x^2-2*x+1) lgdogf] A078004 7.26111 [{-a(n+3)+2*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A078004 7.74984 [(9*f(x)-11)*(f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A078005 11.5349 [-(4*x^3-4*x^2-4*x+1)/(2*x^4-4*x^2+3*x-1) lgdogf] A078005 15.6700 [-(x-1)/(2*x^3+2*x^2-2*x+1) ogf] A078005 19.2321 [-(1-4*x-4*x^2+4*x^3)/(x-1)/(2*x^3+2*x^2-2*x+1) lgdogf] A078005 7.48209 [{-a(n+3)+2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A078005 7.90963 [(25*f(x)-13)*(2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A078006 10.3614 [2*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A078006 12.3423 [-(4*x^3-4*x^2-4*x)/(2*x^4-x^2-2*x+1) lgdogf] A078006 15.8354 [(x-1)/(2*x^3+2*x^2+x-1) ogf] A078006 21.2486 [-4*x*(-1-x+x^2)/(x-1)/(2*x^3+2*x^2+x-1) lgdogf] A078006 7.56103 [{a(n+3)-a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A078007 10.4399 [-(-2*x^3+x^2+4*x)/(-x^4-x^3+x^2+2*x-1) lgdogf] A078007 14.9704 [(x-1)/(x^3+2*x^2+x-1) ogf] A078007 21.1582 [-x*(-4+2*x^2-x)/(x-1)/(x^3+2*x^2+x-1) lgdogf] A078007 7.14803 [{-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A078007 9.79545 [-f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)+x-1 ogf] A078008 12.3591 [2*f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A078008 12.9770 [-(-2*x^2+4*x)/(-2*x^3+x^2+2*x-1) lgdogf] A078008 17.3027 [(x-1)/(x+1)/(2*x-1) ogf] A078008 19.6912 [1/2/(-1+2*x)*(-1-x+(9*x^2-2*x+1)^(1/2)) revogf] A078008 25.5985 [-2*x*(x-2)/(x-1)/(2*x-1)/(x+1) lgdogf] A078008 9.61262 [{-a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=0} ogf] A078009 10.5268 [-1/2*(-1+4*x+(1-12*x+16*x^2)^(1/2))/(1-12*x+16*x^2)^(1/2)/x lgdogf] A078009 10.7332 [-5*f(x)^2*x+4*f(x)*x+f(x)-1 ogf] A078009 14.3923 [-(5*x^2-x)/(-4*x+1) revogf] A078009 36.5342 [x*(5*x-1)/(4*x-1) revogf] A078010 11.2935 [-(4*x^3-5*x^2-2*x)/(2*x^4-x^3-2*x+1) lgdogf] A078010 14.4897 [(x-1)/(2*x-1)/(x^2+x+1) ogf] A078010 18.4705 [-x*(-2+4*x^2-5*x)/(x-1)/(2*x-1)/(x^2+x+1) lgdogf] A078010 6.91852 [{a(n+3)-a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A078010 9.48093 [-2*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1 ogf] A078011 12.5536 [-(4*x^3-7*x^2+2*x)/(2*x^4-3*x^3+2*x-1) lgdogf] A078011 16.1065 [-(x-1)/(2*x^3-x^2-x+1) ogf] A078011 24.9836 [-x*(2-7*x+4*x^2)/(x-1)/(2*x^3-x^2-x+1) lgdogf] A078011 7.69047 [{-a(n+3)+a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A078011 7.97797 [-(5*f(x)-6)*(2*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A078012 11.8178 [-(-2*x^3+3*x^2)/(-x^4+x^3-x^2+2*x-1) lgdogf] A078012 13.5061 [f(x)*x^3+f(x)*x-f(x)-x+1 ogf] A078012 18.9085 [(x-1)/(x^3+x-1) ogf] A078012 30.1137 [-x^2*(2*x-3)/(x-1)/(x^3+x-1) lgdogf] A078012 9.24873 [{-a(n+3)+a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A078013 12.6585 [-(-2*x^3+3*x^2)/(-x^4+x^3+x^2-2*x+1) lgdogf] A078013 14.4669 [f(x)*x^3-f(x)*x+f(x)+x-1 ogf] A078013 20.2536 [-(x-1)/(x^3-x+1) ogf] A078013 37.0714 [-x^2*(2*x-3)/(x-1)/(x^3-x+1) lgdogf] A078013 9.90667 [{-a(n+3)+a(n+2)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A078014 11.7643 [-(-4*x^3+6*x^2)/(-2*x^4+2*x^3+x^2-2*x+1) lgdogf] A078014 13.445 [2*f(x)*x^3-f(x)*x+f(x)+x-1 ogf] A078014 18.8230 [-(x-1)/(x+1)/(2*x^2-2*x+1) ogf] A078014 23.1972 [-2*x^2*(2*x-3)/(x-1)/(x+1)/(2*x^2-2*x+1) lgdogf] A078014 9.20688 [{-a(n+3)+a(n+2)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A078015 10.5854 [2*f(x)*x^3-f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A078015 11.2818 [-(-4*x^3+7*x^2-2*x)/(-2*x^4+3*x^3-2*x^2+2*x-1) lgdogf] A078015 16.1777 [(x-1)/(2*x^3-x^2+x-1) ogf] A078015 22.7716 [-x*(2+4*x^2-7*x)/(x-1)/(2*x^3-x^2+x-1) lgdogf] A078015 7.72450 [{a(n+3)-a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A078016 12.4195 [-(-2*x^3+2*x^2+2*x)/(-x^4+2*x^2-2*x+1) lgdogf] A078016 15.9344 [-(x-1)/(x^3+x^2-x+1) ogf] A078016 26.3532 [-2*x*(-1-x+x^2)/(x-1)/(x^3+x^2-x+1) lgdogf] A078016 7.60833 [{-a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A078016 7.74794 [-(12*f(x)-11)*(f(x)*x^3+f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A078017 10.7704 [-(-4*x^3+5*x^2+2*x)/(-2*x^4+x^3+2*x^2-2*x+1) lgdogf] A078017 15.4443 [-(x-1)/(2*x^3+x^2-x+1) ogf] A078017 22.7135 [-x*(-2-5*x+4*x^2)/(x-1)/(2*x^3+x^2-x+1) lgdogf] A078017 7.37432 [{-a(n+3)+a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A078017 7.50963 [-(59*f(x)-58)*(2*f(x)*x^3+f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A078018 13.3446 [-(6*x^2-x)/(-5*x+1) revogf] A078018 31.9545 [x*(-1+6*x)/(5*x-1) revogf] A078018 9.91690 [-1/2*(5*x-1+(1-14*x+25*x^2)^(1/2))/(1-14*x+25*x^2)^(1/2)/x lgdogf] A078018 9.95192 [-6*f(x)^2*x+5*f(x)*x+f(x)-1 ogf] A078019 11.5886 [-(2*x^3-5*x^2+4*x)/(x^4-3*x^3+3*x^2-2*x+1) lgdogf] A078019 16.6175 [(x-1)/(x^3-2*x^2+x-1) ogf] A078019 25.4534 [-x*(4-5*x+2*x^2)/(x-1)/(x^3-2*x^2+x-1) lgdogf] A078019 7.93450 [{-a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A078019 8.00663 [-(49*f(x)-113)*(f(x)*x^3-2*f(x)*x^2+f(x)*x-f(x)-x+1) ogf] A078020 10.7424 [{-a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=0} ogf] A078020 13.8116 [2*f(x)*x^2-f(x)*x+f(x)+x-1 ogf] A078020 14.5022 [-(-2*x^2+4*x)/(-2*x^3+3*x^2-2*x+1) lgdogf] A078020 19.3363 [-(x-1)/(2*x^2-x+1) ogf] A078020 24.1868 [-1/2*(-1-x+(1-2*x-7*x^2)^(1/2))/(2*x+1) revogf] A078020 33.6888 [-2*x*(x-2)/(x-1)/(2*x^2-x+1) lgdogf] A078021 11.1638 [-(-2*x^3+x^2+4*x)/(-x^4-x^3+3*x^2-2*x+1) lgdogf] A078021 16.0085 [-(x-1)/(x^3+2*x^2-x+1) ogf] A078021 24.6484 [-x*(-4-x+2*x^2)/(x-1)/(x^3+2*x^2-x+1) lgdogf] A078021 7.64370 [{-a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A078021 7.71319 [-(153*f(x)-89)*(f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A078022 11.6082 [-(-4*x^3+4*x^2+4*x)/(-2*x^4+3*x^2-2*x+1) lgdogf] A078022 14.8935 [-(x-1)/(2*x^3+2*x^2-x+1) ogf] A078022 7.11132 [{-a(n+3)+a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A078022 9.74514 [-2*f(x)*x^3-2*f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A078023 11.0416 [-(-4*x^3+4*x^2+4*x-1)/(-2*x^4+2*x^2+x-1) lgdogf] A078023 16.2243 [(x-1)/(2*x^3+2*x^2-1) ogf] A078023 18.7539 [-(1-4*x+4*x^3-4*x^2)/(x-1)/(2*x^3+2*x^2-1) lgdogf] A078023 8.45737 [{a(n+3)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A078023 8.83325 [-(f(x)-13)*(2*f(x)*x^3+2*f(x)*x^2-f(x)-x+1) ogf] A078024 10.6724 [-(2*x^3-x^2-4*x+1)/(x^4+x^3-2*x^2-x+1) lgdogf] A078024 17.4243 [(x-1)/(x+1)/(x^2+x-1) ogf] A078024 21.2508 [-(1-4*x+2*x^3-x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A078024 9.08289 [{a(n+3)-2*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A078024 9.38233 [-(11*f(x)+13)*(f(x)*x^3+2*f(x)*x^2-f(x)-x+1) ogf] A078025 16.2123 [-(x-1)/(2*x^3-2*x^2+1) ogf] A078025 8.45109 [{-a(n+3)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A078025 8.92586 [-(f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2+f(x)+x-1) ogf] A078025 9.93002 [-(-4*x^3+8*x^2-4*x+1)/(-2*x^4+4*x^3-2*x^2-x+1) lgdogf] A078026 10.3256 [-(-4*x^3+5*x^2+2*x-1)/(-2*x^4+x^3+x^2+x-1) lgdogf] A078026 16.8581 [(x-1)/(2*x^3+x^2-1) ogf] A078026 20.4608 [-(1-2*x+4*x^3-5*x^2)/(x-1)/(2*x^3+x^2-1) lgdogf] A078026 8.78771 [{-a(n+3)+a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A078026 9.71819 [(3*f(x)-4)*(2*f(x)*x^3+f(x)*x^2-f(x)-x+1) ogf] A078027 11.7453 [-(-2*x^3+2*x^2+2*x-1)/(-x^4+x^2+x-1) lgdogf] A078027 17.2584 [(x-1)/(x^3+x^2-1) ogf] A078027 22.2543 [-(1-2*x+2*x^3-2*x^2)/(x-1)/(x^3+x^2-1) lgdogf] A078027 8.99643 [{a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A078027 9.50185 [-(f(x)-3)*(f(x)*x^3+f(x)*x^2-f(x)-x+1) ogf] A078028 10.6254 [-(-4*x^3+7*x^2-2*x+1)/(-2*x^4+3*x^3-x^2-x+1) lgdogf] A078028 17.3476 [-(x-1)/(2*x^3-x^2+1) ogf] A078028 22.2920 [-(-1+2*x-7*x^2+4*x^3)/(x-1)/(2*x^3-x^2+1) lgdogf] A078028 9.04288 [{-a(n+3)+a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A078028 9.55091 [-(f(x)-4)*(2*f(x)*x^3-f(x)*x^2+f(x)+x-1) ogf] A078029 10.8637 [{-a(n+3)+2*a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A078029 11.9820 [-(4*x^3-6*x^2+1)/(2*x^4-2*x^3-x+1) lgdogf] A078029 12.1608 [(2*f(x)-3)*(2*f(x)*x^3-f(x)-x+1) ogf] A078029 19.8725 [(x-1)/(2*x^3-1) ogf] A078029 25.3203 [-(2*x-1)*(2*x^2-2*x-1)/(x-1)/(2*x^3-1) lgdogf] A078030 10.8637 [{a(n+3)+2*a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A078030 11.9820 [-(4*x^3-6*x^2-1)/(2*x^4-2*x^3+x-1) lgdogf] A078030 18.1061 [-2*f(x)*x^3-f(x)-x+1 ogf] A078030 19.8725 [-(x-1)/(2*x^3+1) ogf] A078030 29.1567 [-(-1-6*x^2+4*x^3)/(x-1)/(2*x^3+1) lgdogf] A078031 11.2132 [-(2*x^3-4*x^2+2*x+1)/(x^4-2*x^3+x^2-x+1) lgdogf] A078031 18.3073 [(x-1)/(x^3-x^2-1) ogf] A078031 26.3967 [-(1+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2-1) lgdogf] A078031 9.4549 [(19*f(x)+2)*(f(x)*x^3-f(x)*x^2-f(x)-x+1) ogf] A078031 9.54318 [{a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A078032 12.3459 [-(2*x^3-2*x^2-2*x-1)/(x^4-x^2+x-1) lgdogf] A078032 18.1409 [-(x-1)/(x^3+x^2+1) ogf] A078032 26.0748 [-(2*x^3-2*x^2-2*x-1)/(x-1)/(x^3+x^2+1) lgdogf] A078032 9.45643 [{a(n+3)+a(n+1)+a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A078032 9.98768 [-(f(x)-1)*(f(x)*x^3+f(x)*x^2+f(x)+x-1) ogf] A078033 10.6360 [-(4*x^3-5*x^2-2*x-1)/(2*x^4-x^3-x^2+x-1) lgdogf] A078033 11.0504 [f(x)*(2*f(x)*x^3+f(x)*x^2+f(x)+x-1) ogf] A078033 17.3650 [-(x-1)/(x+1)/(2*x^2-x+1) ogf] A078033 20.6197 [-(-1-2*x-5*x^2+4*x^3)/(x-1)/(x+1)/(2*x^2-x+1) lgdogf] A078033 9.05195 [{a(n+3)+a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A078034 10.4908 [-(4*x^3-8*x^2+4*x+1)/(2*x^4-4*x^3+2*x^2-x+1) lgdogf] A078034 17.1279 [(x-1)/(2*x^3-2*x^2-1) ogf] A078034 21.4857 [-(1+4*x-8*x^2+4*x^3)/(x-1)/(2*x^3-2*x^2-1) lgdogf] A078034 8.92837 [{a(n+3)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=-2} ogf] A078034 9.32519 [-(57*f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2-f(x)-x+1) ogf] A078035 10.5011 [-(2*x^3-5*x^2+4*x+1)/(x^4-3*x^3+2*x^2-x+1) lgdogf] A078035 17.1447 [(x-1)/(x^3-2*x^2-1) ogf] A078035 22.7997 [-(1+4*x-5*x^2+2*x^3)/(x-1)/(x^3-2*x^2-1) lgdogf] A078035 8.93713 [{a(n+3)+2*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-2} ogf] A078035 9.13141 [-(121*f(x)+19)*(f(x)*x^3-2*f(x)*x^2-f(x)-x+1) ogf] A078036 10.5484 [-(2*x^3-x^2-4*x-1)/(x^4+x^3-2*x^2+x-1) lgdogf] A078036 17.2219 [-(x-1)/(x^3+2*x^2+1) ogf] A078036 22.7997 [-(x+1)*(2*x^2-3*x-1)/(x-1)/(x^3+2*x^2+1) lgdogf] A078036 8.97738 [{a(n+3)+2*a(n+1)+a(n),a(0)=1,a(1)=-1,a(2)=-2} ogf] A078036 9.27334 [-(69*f(x)-49)*(f(x)*x^3+2*f(x)*x^2+f(x)+x-1) ogf] A078037 11.4502 [-(4*x^3-4*x^2-4*x-1)/(2*x^4-2*x^2+x-1) lgdogf] A078037 13.0859 [2*f(x)*x^3+2*f(x)*x^2+f(x)+x-1 ogf] A078037 16.8248 [-(x-1)/(2*x^3+2*x^2+1) ogf] A078037 20.7269 [-(-1-4*x-4*x^2+4*x^3)/(x-1)/(2*x^3+2*x^2+1) lgdogf] A078037 8.77035 [{a(n+3)+2*a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=-2} ogf] A078038 11.0228 [-(-2*x^3+x^2+4*x-2)/(-x^4-x^3+3*x^2-1) lgdogf] A078038 15.8063 [(x-1)/(x^3+2*x^2-x-1) ogf] A078038 23.3760 [-(2*x-1)*(x^2-2)/(x-1)/(x^3+2*x^2-x-1) lgdogf] A078038 7.47976 [{a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A078038 7.82928 [-(f(x)+1)*(f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A078039 10.9503 [-(-2*x^3+5*x^2-4*x+2)/(-x^4+3*x^3-3*x^2+1) lgdogf] A078039 15.7023 [-(x-1)/(x^3-2*x^2+x+1) ogf] A078039 20.4201 [-(-2+4*x-5*x^2+2*x^3)/(x-1)/(x^3-2*x^2+x+1) lgdogf] A078039 7.43054 [{-a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A078039 7.77777 [-(3*f(x)-1)*(f(x)*x^3-2*f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078040 10.3060 [-(-4*x^3+8*x^2-4*x+2)/(-2*x^4+4*x^3-3*x^2+1) lgdogf] A078040 14.7784 [-(x-1)/(2*x^3-2*x^2+x+1) ogf] A078040 17.5499 [-2*(-1+2*x-4*x^2+2*x^3)/(x-1)/(2*x^3-2*x^2+x+1) lgdogf] A078040 6.99337 [{-a(n+3)-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A078040 7.32015 [-(2*f(x)-1)*(2*f(x)*x^3-2*f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078041 11.3816 [-(-4*x^3+5*x^2+2*x-2)/(-2*x^4+x^3+2*x^2-1) lgdogf] A078041 16.3208 [(x-1)/(2*x^3+x^2-x-1) ogf] A078041 22.5612 [-(2-2*x-5*x^2+4*x^3)/(x-1)/(x^2-1-x+2*x^3) lgdogf] A078041 7.72324 [{-a(n+3)-a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=-2,a(2)=3} ogf] A078041 8.23811 [(31*f(x)-16)*(2*f(x)*x^3+f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A078042 11.1653 [-(-2*x^3+4*x^2-2*x+2)/(-x^4+2*x^3-2*x^2+1) lgdogf] A078042 16.0107 [-(x-1)/(x^3-x^2+x+1) ogf] A078042 23.0543 [-2*(-1+x-2*x^2+x^3)/(x-1)/(x^3-x^2+x+1) lgdogf] A078042 7.57648 [{-a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=3} ogf] A078042 7.93052 [(222*f(x)+157)*(f(x)*x^3-f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078043 10.2543 [-(4*x^3-7*x^2+2*x-2)/(2*x^4-3*x^3+2*x^2-1) lgdogf] A078043 14.7043 [-(x-1)/(2*x+1)/(x^2-x+1) ogf] A078043 6.95827 [{-a(n+3)-a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=3} ogf] A078043 7.42215 [(41*f(x)-56)*(2*f(x)*x^3-f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078044 10.3931 [f(x)*(2*f(x)*x^3+f(x)*x+f(x)+x-1) ogf] A078044 11.1149 [-(-4*x^3+6*x^2+2)/(-2*x^4+2*x^3-x^2+1) lgdogf] A078044 17.7838 [-(x-1)/(2*x^3+x+1) ogf] A078044 23.1036 [-2*(-1-3*x^2+2*x^3)/(x-1)/(2*x^3+x+1) lgdogf] A078044 8.51351 [{-a(n+3)-a(n+2)-2*a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A078045 12.0145 [-(4*x^3-7*x^2+2*x+2)/(2*x^4-3*x^3+1) lgdogf] A078045 15.4148 [(x-1)/(2*x^3-x^2-x-1) ogf] A078045 20.7783 [-(2+2*x-7*x^2+4*x^3)/(x-1)/(2*x^3-x^2-x-1) lgdogf] A078045 7.29451 [{a(n+3)+a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A078045 7.49528 [-(225*f(x)-8)*(2*f(x)*x^3-f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A078046 12.6383 [-(2*x^3-4*x^2+2*x+2)/(x^4-2*x^3+1) lgdogf] A078046 16.2152 [(x-1)/(x^3-x^2-x-1) ogf] A078046 24.6534 [-2*(1+x-2*x^2+x^3)/(x-1)/(x^3-x^2-x-1) lgdogf] A078046 7.67327 [{a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A078046 8.18482 [(74*f(x)+11)*(f(x)*x^3-f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A078047 12.5814 [-(4*x^3-5*x^2-2*x-2)/(2*x^4-x^3-1) lgdogf] A078047 16.1422 [-(x-1)/(2*x^3+x^2+x+1) ogf] A078047 21.6967 [-(-2-2*x-5*x^2+4*x^3)/(x-1)/(2*x^3+x^2+x+1) lgdogf] A078047 7.63871 [{a(n+3)+a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A078047 7.84895 [-(41*f(x)-16)*(2*f(x)*x^3+f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078048 10.2626 [-(4*x^3-8*x^2+4*x+2)/(2*x^4-4*x^3+x^2+1) lgdogf] A078048 14.7162 [(x-1)/(2*x^3-2*x^2-x-1) ogf] A078048 18.4471 [-2*(1+2*x-4*x^2+2*x^3)/(x-1)/(2*x^3-2*x^2-x-1) lgdogf] A078048 7.02666 [{a(n+3)+a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=0} ogf] A078048 7.28933 [-(9*f(x)-8)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A078049 11.0430 [-(2*x^3-5*x^2+4*x+2)/(x^4-3*x^3+x^2+1) lgdogf] A078049 15.8352 [(x-1)/(x^3-2*x^2-x-1) ogf] A078049 21.5741 [-(2+4*x-5*x^2+2*x^3)/(x-1)/(x^3-2*x^2-x-1) lgdogf] A078049 7.56096 [{a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=0} ogf] A078049 7.6997 [-(25*f(x)-22)*(f(x)*x^3-2*f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A078050 10.3653 [{-a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=-2} ogf] A078050 14.1660 [-(-2*x^2+4*x+2)/(-2*x^3+x^2+1) lgdogf] A078050 18.8880 [-(x-1)/(2*x^2+x+1) ogf] A078050 22.6917 [-1/2*(x-1+(-(1+x)*(7*x-1))^(1/2))/(2*x+1) revogf] A078050 28.1927 [-2*(-1-2*x+x^2)/(x-1)/(1+x+2*x^2) lgdogf] A078050 9.55009 [-(f(x)-1)*(2*f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078051 11.4272 [-(-2*x^3+x^2+4*x+2)/(-x^4-x^3+x^2+1) lgdogf] A078051 16.3862 [-(x-1)/(x^3+2*x^2+x+1) ogf] A078051 23.2813 [-(-2-4*x-x^2+2*x^3)/(x-1)/(x^3+2*x^2+x+1) lgdogf] A078051 7.82404 [{a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=0} ogf] A078051 8.27113 [(31*f(x)-58)*(f(x)*x^3+2*f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078052 12.7961 [-(-4*x^3+4*x^2+4*x+2)/(-2*x^4+x^2+1) lgdogf] A078052 16.4176 [-(x-1)/(x+1)/(2*x^2+1) ogf] A078052 21.0475 [-2*(-1-2*x-2*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2+1) lgdogf] A078052 7.83905 [{-a(n+3)-a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=0} ogf] A078052 8.13209 [-(f(x)-2)*(2*f(x)*x^3+2*f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A078053 10.5815 [-(-4*x^3+4*x^2+4*x-3)/(-2*x^4+4*x^2-x-1) lgdogf] A078053 14.3749 [(x-1)/(2*x^3+2*x^2-2*x-1) ogf] A078053 17.3757 [-(3-4*x-4*x^2+4*x^3)/(x-1)/(2*x^3+2*x^2-2*x-1) lgdogf] A078053 6.80240 [{a(n+3)+2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-3,a(2)=8} ogf] A078053 7.12026 [-(9*f(x)-5)*(2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-f(x)-x+1) ogf] A078054 14.6128 [-(x-1)/(x^3-2*x^2+2*x+1) ogf] A078054 17.9589 [-(-3+4*x-5*x^2+2*x^3)/(x-1)/(x^3-2*x^2+2*x+1) lgdogf] A078054 6.91499 [{-a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=8} ogf] A078054 7.1053 [-(39*f(x)-19)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078054 9.68099 [-(2*x^3-5*x^2+4*x-3)/(x^4-3*x^3+4*x^2-x-1) lgdogf] A078055 14.9940 [-(x-1)/(2*x^3-2*x^2+2*x+1) ogf] A078055 17.6246 [-(-3+4*x-8*x^2+4*x^3)/(x-1)/(2*x^3-2*x^2+2*x+1) lgdogf] A078055 7.09538 [{-a(n+3)-2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-3,a(2)=8} ogf] A078055 7.5684 [(31*f(x)-23)*(2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078055 9.93354 [-(4*x^3-8*x^2+4*x-3)/(2*x^4-4*x^3+4*x^2-x-1) lgdogf] A078056 11.0711 [-(2*x^3-2*x^2-2*x+3)/(x^4-3*x^2+x+1) lgdogf] A078056 15.0400 [(x-1)/(x^3+x^2-2*x-1) ogf] A078056 19.9693 [-(3-2*x-2*x^2+2*x^3)/(x-1)/(x^3+x^2-2*x-1) lgdogf] A078056 7.11714 [{-a(n+3)-2*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=-3,a(2)=7} ogf] A078056 7.51999 [(273*f(x)+10)*(f(x)*x^3+f(x)*x^2-2*f(x)*x-f(x)-x+1) ogf] A078057 10.2704 [{a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A078057 13.1590 [-(-x^2-2*x-3)/(-x^3-3*x^2-x+1) lgdogf] A078057 18.7150 [-(x+1)/(x^2+2*x-1) ogf] A078057 21.7977 [1/2/(1+x)*(-2*x-1+(8*x^2+8*x+1)^(1/2)) revogf] A078057 27.6104 [-(3+2*x+x^2)/(x+1)/(x^2+2*x-1) lgdogf] A078057 9.90793 [(8*f(x)+1)*(f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A078058 14.5032 [-(x-1)/(x^3-x^2+2*x+1) ogf] A078058 18.7461 [-(-3+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2+2*x+1) lgdogf] A078058 6.86313 [{-a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=7} ogf] A078058 7.39106 [(9*f(x)+26)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078058 9.60839 [-(-2*x^3+4*x^2-2*x+3)/(-x^4+2*x^3-3*x^2+x+1) lgdogf] A078059 14.9525 [-(x-1)/(2*x^3-x^2+2*x+1) ogf] A078059 18.4421 [-(-3+2*x-7*x^2+4*x^3)/(x-1)/(2*x^3-x^2+2*x+1) lgdogf] A078059 7.07571 [{-a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-3,a(2)=7} ogf] A078059 7.69397 [(f(x)+7)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078059 9.90600 [-(-4*x^3+7*x^2-2*x+3)/(-2*x^4+3*x^3-3*x^2+x+1) lgdogf] A078060 10.5813 [-(4*x^3-6*x^2+3)/(2*x^4-2*x^3-2*x^2+x+1) lgdogf] A078060 17.8706 [(x-1)/(2*x^3-2*x-1) ogf] A078060 8.55506 [{a(n+3)+2*a(n+2)-2*a(n),a(0)=1,a(1)=-3,a(2)=6} ogf] A078060 8.74104 [-(272*f(x)-11)*(2*f(x)*x^3-2*f(x)*x-f(x)-x+1) ogf] A078061 10.9036 [-(-2*x^3+3*x^2+3)/(-x^4+x^3-2*x^2+x+1) lgdogf] A078061 18.4150 [-(x-1)/(x^3+2*x+1) ogf] A078061 24.8752 [-(-3-3*x^2+2*x^3)/(x-1)/(x^3+2*x+1) lgdogf] A078061 8.81567 [{a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=-3,a(2)=6} ogf] A078061 9.31092 [-(7*f(x)-5)*(f(x)*x^3+2*f(x)*x+f(x)+x-1) ogf] A078062 10.1664 [-(-4*x^3+6*x^2+3)/(-2*x^4+2*x^3-2*x^2+x+1) lgdogf] A078062 17.1700 [-(x-1)/(2*x^3+2*x+1) ogf] A078062 21.9033 [-(-3-6*x^2+4*x^3)/(x-1)/(2*x^3+2*x+1) lgdogf] A078062 8.21966 [{a(n+3)+2*a(n+2)+2*a(n),a(0)=1,a(1)=-3,a(2)=6} ogf] A078062 8.98427 [(11*f(x)+7)*(2*f(x)*x^3+2*f(x)*x+f(x)+x-1) ogf] A078063 15.0308 [(x-1)/(2*x^3-x^2-2*x-1) ogf] A078063 19.4280 [-(3+2*x-7*x^2+4*x^3)/(x-1)/(2*x^3-x^2-2*x-1) lgdogf] A078063 7.11279 [{a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=-3,a(2)=5} ogf] A078063 7.58697 [(141*f(x)+4)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-f(x)-x+1) ogf] A078063 9.95790 [-(-4*x^3+7*x^2-2*x-3)/(-2*x^4+3*x^3+x^2-x-1) lgdogf] A078064 10.0450 [-(-2*x^3+4*x^2-2*x-3)/(-x^4+2*x^3+x^2-x-1) lgdogf] A078064 15.1622 [(x-1)/(x^3-x^2-2*x-1) ogf] A078064 7.17499 [{-a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=-3,a(2)=5} ogf] A078064 7.58112 [(191*f(x)+26)*(f(x)*x^3-f(x)*x^2-2*f(x)*x-f(x)-x+1) ogf] A078065 11.4346 [-(-2*x^3+2*x^2+2*x+3)/(-x^4-x^2+x+1) lgdogf] A078065 15.5338 [-(x-1)/(x^3+x^2+2*x+1) ogf] A078065 20.3219 [-(-3-2*x-2*x^2+2*x^3)/(x-1)/(x^3+x^2+2*x+1) lgdogf] A078065 7.35080 [{-a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=5} ogf] A078065 7.62305 [-(3*f(x)-26)*(f(x)*x^3+f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078066 15.0369 [-(x-1)/(2*x+1)/(x^2+1) ogf] A078066 19.6000 [-(-3-2*x-5*x^2+4*x^3)/(x-1)/(1+2*x)/(1+x^2) lgdogf] A078066 7.11569 [{a(n+3)+2*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=-3,a(2)=5} ogf] A078066 7.66305 [(29*f(x)-4)*(2*f(x)*x^3+f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078066 9.96196 [-(-4*x^3+5*x^2+2*x+3)/(-2*x^4+x^3-x^2+x+1) lgdogf] A078067 11.0990 [-(4*x^3-8*x^2+4*x+3)/(2*x^4-4*x^3+x+1) lgdogf] A078067 15.0778 [(x-1)/(2*x^3-2*x^2-2*x-1) ogf] A078067 18.4629 [-(3+4*x-8*x^2+4*x^3)/(x-1)/(2*x^3-2*x^2-2*x-1) lgdogf] A078067 7.13504 [{a(n+3)+2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=-3,a(2)=4} ogf] A078067 7.68389 [(15*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-f(x)-x+1) ogf] A078068 11.4486 [-(2*x^3-5*x^2+4*x+3)/(x^4-3*x^3+x+1) lgdogf] A078068 15.5528 [(x-1)/(x^3-2*x^2-2*x-1) ogf] A078068 20.0663 [-(3+4*x-5*x^2+2*x^3)/(x-1)/(x^3-2*x^2-2*x-1) lgdogf] A078068 7.35983 [{a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=4} ogf] A078068 7.77643 [(649*f(x)+79)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-f(x)-x+1) ogf] A078069 10.166 [(f(x)-4)*(2*f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078069 10.5380 [{a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=-3} ogf] A078069 15.4306 [-(2*x^2-4*x-3)/(2*x^3-x-1) lgdogf] A078069 19.2025 [-(x-1)/(2*x^2+2*x+1) ogf] A078069 22.8400 [-1/2*(-1+2*x+(1-8*x-4*x^2)^(1/2))/(2*x+1) revogf] A078069 26.7554 [-(-3-4*x+2*x^2)/(x-1)/(2*x^2+2*x+1) lgdogf] A078070 12.4020 [-(x-1)/(x^2+x+1)/(x+1) ogf] A078070 19.8795 [-(-3-4*x-x^2+2*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A078070 26.2167 [x^2+x-3 ogf_with_Euler_transform] A078070 5.86879 [{-a(n+3)-2*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=4} ogf] A078070 6.26004 [(3*f(x)+109)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078070 9.12922 [-(-2*x^3+x^2+4*x+3)/(-x^4-x^3+x+1) lgdogf] A078071 13.0555 [-(4*x^3-4*x^2-4*x-3)/(2*x^4-x-1) lgdogf] A078071 15.7652 [-(x-1)/(2*x^3+2*x^2+2*x+1) ogf] A078071 19.0419 [-(-3-4*x-4*x^2+4*x^3)/(x-1)/(2*x^3+2*x^2+2*x+1) lgdogf] A078071 7.46029 [{-a(n+3)-2*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=-3,a(2)=4} ogf] A078071 7.73661 [-(f(x)-53)*(2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+f(x)+x-1) ogf] A078100 10.9995 [-(4*x^2-9*x+4)/(6*x^3-15*x^2+9*x-1) ogf] A078100 5.45578 [-(173391*f(x)+84176)*(6*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+4*x^2-f(x)-9*x+4) ogf] A078100 5.87907 [{-a(n+3)+9*a(n+2)-15*a(n+1)+6*a(n),a(0)=4,a(1)=27,a(2)=187} ogf] A078100 9.70717 [-(27-112*x+24*x^4-108*x^3+171*x^2)/(4*x^2-9*x+4)/(6*x^3-15*x^2+9*x-1) lgdogf] A078112 16.6243 [-2*(1-3*x+3*x^5-3*x^4+6*x^2)/(x-1)/(x^2+1)/(2*x^3-x^2+1) lgdogf] A078112 8.50831 [x*(2*x^3-x^2+1)/(x^2+1)^2/(x-1)^2 ogf] A078113 4.47094 [-(3394*f(x)+16541)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+3*x^2+f(x)-4*x-2) ogf] A078113 4.87014 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=2,a(1)=6,a(2)=7} ogf] A078113 8.94190 [-(3*x^2-4*x-2)/(x-1)/(2*x^2-1) ogf] A078126 12.1225 [(x^3-2*x^2-x+1)/(x+1)/(x-1)^3 ogf] A078126 16.0075 [-(1-2*x+x^4-2*x^3-4*x^2)/(x-1)/(1+x)/(x^3-2*x^2-x+1) lgdogf] A078126 4.24594 [{(3*n+13)*a(n+1)+(-2*n-6)*a(n+2)+(-3*n-11)*a(n+3)+(2*n+8)*a(n+4),a(0)=-1,a(1)=-1,a(2)=0,a(3)=1} ogf] A078126 6.97043 [(8*f(x)-15)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+2*x^2-f(x)+x-1) ogf] A078126 8.71303 [-(x^4-2*x^3-4*x^2-2*x+1)/(x^5-2*x^4-2*x^3+3*x^2+x-1) lgdogf] A078137 7.75813 [-(x^12-x^11+x^9-x^8+2*x^6-2*x^5+2*x^4-2*x^3+3*x^2-4)/(x-1)^2 ogf] A078191 6.76976 [-(10*f(x)*x^2-11*f(x)*x+f(x)-1)^2 ogf] A078222 6.68414 [(13*f(x)-14)*(-32*x^4+10*f(x)*x^2-16*x^3-12*x^2-f(x)+4*x+2) ogf] A078222 8.47106 [2*(2*x+1)*(80*x^4-20*x^3-6*x^2+2*x+1)/(10*x^2-1)/(16*x^4+8*x^3+6*x^2-2*x-1) lgdogf] A078222 9.39655 [2*(16*x^4+8*x^3+6*x^2-2*x-1)/(10*x^2-1) ogf] A078226 15.3268 [27-27*f(x)+9*f(x)^2-f(x)^3 lgdegf] A078226 8.34804 [-(3*f(x)*x-f(x)+1)^3 ogf] A078227 7.32473 [-(2*f(x)*x-f(x)+2)^3 ogf] A078254 3.81283 [3/2+3/2*(88*x^12+1)^(1/2) ogf_with_Euler_transform] A078309 11.8794 [-(4+10*x+3*x^5+15*x^3+9*x^4+19*x^2)/(x-1)/(3*x^3+3*x^2+3*x+1)/(x^2+x+1) lgdogf] A078309 12.4610 [(3*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A078309 5.14857 [{(5*n+16)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-11)*a(n+4),a(0)=1,a(1)=4,a(2)=7,a(3)=11} ogf] A078309 7.04764 [(15*f(x)+401)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A078315 11.6623 [(x^48-x^47+x^45-x^44+x^4-x^3-1)/(x-1) ogf] A078315 9.09045 [(1+3*x^4-6*x^3+44*x^45-88*x^44+44*x^43+47*x^48-94*x^47+47*x^46+3*x^2)/(x-1)/(x^48-x^47+x^45-x^44+x^4-x^3-1) lgdogf] A078338 9.71856 [-(x^9+x^8-x^7+x^5+x^4+x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A078339 8.62371 [-(3*x^9+2*x^8+x^7+2*x^6+2*x^5+x^4-x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A078343 11.8580 [-(4*x^2-2*x+2)/(4*x^3+7*x^2-6*x+1) lgdogf] A078343 16.8647 [-(4*x-1)/(x^2+2*x-1) ogf] A078343 18.7152 [-1/2*(-1+2*x+(1+12*x+8*x^2)^(1/2))/(4+x) revogf] A078343 21.3889 [-2*(1-x+2*x^2)/(-1+4*x)/(x^2+2*x-1) lgdogf] A078343 8.92837 [(f(x)+2)*(f(x)*x^2+2*f(x)*x-f(x)+4*x-1) ogf] A078343 9.25502 [{a(n+2)-2*a(n+1)-a(n),a(0)=-1,a(1)=2} ogf] A078344 10.4127 [(3*x^3+2*x^2-1)/(x^3+x^2+2*x-1) ogf] A078344 11.8457 [(2-2*x+x^4+12*x^3-2*x^2)/(3*x^3+2*x^2-1)/(x^3+x^2+2*x-1) lgdogf] A078344 5.12748 [{a(n+4)-2*a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A078344 6.97760 [-(x^4+12*x^3-2*x^2-2*x+2)/(-3*x^6-5*x^5-8*x^4+3*x^2+2*x-1) lgdogf] A078344 7.2777 [-f(x)*x^3-f(x)*x^2+3*x^3-2*f(x)*x+2*x^2+f(x)-1 ogf] A078362 10.2562 [-(2*x-13)/(x^2-13*x+1) lgdogf] A078362 10.9017 [-1/2*(-1-13*x+(15*x+1)^(1/2)*(11*x+1)^(1/2))/x revogf] A078362 15.0827 [1/(x^2-13*x+1) ogf] A078362 21.8034 [-(-13+2*x)/(x^2+1-13*x) lgdogf] A078362 6.10489 [{-a(n+2)+13*a(n+1)-a(n),a(0)=1,a(1)=13} ogf] A078362 6.1049 [(167*f(x)+2)*(f(x)*x^2-13*f(x)*x+f(x)-1) ogf] A078363 13.9704 [-(13*x-2)/(x^2-13*x+1) ogf] A078363 16.9693 [-(13-4*x+13*x^2)/(13*x-2)/(x^2+1-13*x) lgdogf] A078363 6.91168 [-(165*f(x)-161)*(f(x)*x^2-13*f(x)*x+f(x)+13*x-2) ogf] A078363 7.81679 [{a(n+2)-13*a(n+1)+a(n),a(0)=2,a(1)=13} ogf] A078363 9.38014 [-(-13*x^2+4*x-13)/(-13*x^3+171*x^2-39*x+2) lgdogf] A078364 13.7814 [1/(x^2-15*x+1) ogf] A078364 19.8903 [-(-15+2*x)/(x^2+1-15*x) lgdogf] A078364 5.57818 [(223*f(x)+2)*(f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A078364 5.57819 [{-a(n+2)+15*a(n+1)-a(n),a(0)=1,a(1)=15} ogf] A078364 9.37136 [-(2*x-15)/(x^2-15*x+1) lgdogf] A078364 9.94516 [-1/2*(-15*x-1+(17*x+1)^(1/2)*(1+13*x)^(1/2))/x revogf] A078365 12.0389 [-(15-4*x+15*x^2)/(15*x-2)/(x^2+1-15*x) lgdogf] A078365 4.93229 [-(221*f(x)-217)*(f(x)*x^2-15*f(x)*x+f(x)+15*x-2) ogf] A078365 5.57819 [{a(n+2)-15*a(n+1)+a(n),a(0)=2,a(1)=15} ogf] A078365 6.69383 [-(-15*x^2+4*x-15)/(-15*x^3+227*x^2-45*x+2) lgdogf] A078365 9.96953 [-(15*x-2)/(x^2-15*x+1) ogf] A078366 10.3068 [-1/2*(-17*x-1+(15*x+1)^(1/2)*(19*x+1)^(1/2))/x revogf] A078366 14.2707 [1/(x^2-17*x+1) ogf] A078366 20.6136 [-(-17+2*x)/(x^2+1-17*x) lgdogf] A078366 5.77623 [(287*f(x)+2)*(f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A078366 5.77623 [{-a(n+2)+17*a(n+1)-a(n),a(0)=1,a(1)=17} ogf] A078366 9.70406 [-(2*x-17)/(x^2-17*x+1) lgdogf] A078367 10.3235 [-(17*x-2)/(x^2-17*x+1) ogf] A078367 12.4767 [-(17-4*x+17*x^2)/(17*x-2)/(x^2+1-17*x) lgdogf] A078367 5.1074 [-(285*f(x)-281)*(f(x)*x^2-17*f(x)*x+f(x)+17*x-2) ogf] A078367 5.77623 [{a(n+2)-17*a(n+1)+a(n),a(0)=2,a(1)=17} ogf] A078367 6.93147 [-(-17*x^2+4*x-17)/(-17*x^3+291*x^2-51*x+2) lgdogf] A078368 10.0368 [-(2*x-19)/(x^2-19*x+1) lgdogf] A078368 10.6684 [-1/2*(-19*x-1+(17*x+1)^(1/2)*(21*x+1)^(1/2))/x revogf] A078368 14.7600 [1/(x^2-19*x+1) ogf] A078368 21.3369 [-(-19+2*x)/(x^2+1-19*x) lgdogf] A078368 5.97427 [(359*f(x)+2)*(f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A078368 5.97427 [{-a(n+2)+19*a(n+1)-a(n),a(0)=1,a(1)=19} ogf] A078369 10.6774 [-(19*x-2)/(x^2-19*x+1) ogf] A078369 12.9144 [-(19-4*x+19*x^2)/(19*x-2)/(x^2+1-19*x) lgdogf] A078369 5.28251 [-(357*f(x)-353)*(f(x)*x^2-19*f(x)*x+f(x)+19*x-2) ogf] A078369 5.97427 [{a(n+2)-19*a(n+1)+a(n),a(0)=2,a(1)=19} ogf] A078369 7.16913 [-(-19*x^2+4*x-19)/(-19*x^3+363*x^2-57*x+2) lgdogf] A078370 12.4284 [-(-5*x^2-6*x-13)/(-5*x^3+7*x^2-7*x+5) lgdogf] A078370 13.2433 [-(5*x^2-2*x+5)/(x-1)^3 ogf] A078370 22.6437 [-(13+6*x+5*x^2)/(x-1)/(5*x^2-2*x+5) lgdogf] A078370 7.08634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=13,a(2)=29} ogf] A078370 7.27787 [(5*f(x)-6)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-2*x+5) ogf] A078371 12.5462 [-(3*x^2-6*x-21)/(3*x^3-9*x^2+x+5) lgdogf] A078371 13.3689 [(3*x^2-6*x-5)/(x-1)^3 ogf] A078371 22.8625 [-3*(-7-2*x+x^2)/(x-1)/(3*x^2-6*x-5) lgdogf] A078371 7.15351 [(58*f(x)-749)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+6*x+5) ogf] A078371 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=21,a(2)=45} ogf] A078404 4.36923 [(x^16-x^15+x^13+x^10-x^9+2*x^8-x^7+x^6+x^3-x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A078411 6.99350 [(x^8+x^6+x^5+2*x^4+x^3+x^2+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A078427 4.94867 [(3749901*f(x)-3359060)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x+100*x^2-f(x)-65*x+46) ogf] A078427 5.26794 [{a(n+3)-21*a(n+2)+120*a(n+1)-100*a(n),a(0)=46,a(1)=901,a(2)=13501} ogf] A078427 6.34198 [-(1000*x^3-1200*x^2+1830*x-901)/(1000*x^4-1750*x^3+1275*x^2-571*x+46) lgdogf] A078427 9.33177 [-(100*x^2-65*x+46)/(x-1)/(10*x-1)^2 ogf] A078427 9.72215 [-(-901+1830*x+1000*x^3-1200*x^2)/(x-1)/(-1+10*x)/(100*x^2-65*x+46) lgdogf] A078467 13.8242 [-x*(x^2+x+1)/(x^4+x-1) ogf] A078467 15.5312 [-(2+2*x+2*x^5+3*x^4+4*x^3-x^2)/(x^2+x+1)/(x^4+x-1) lgdogf] A078467 7.87979 [-(2*x^5+3*x^4+4*x^3-x^2+2*x+2)/(x^6+x^5+x^4+x^3-1) lgdogf] A078467 7.95939 [(37*f(x)+41)*(f(x)*x^4+x^3+f(x)*x+x^2-f(x)+x) ogf] A078469 10.9718 [(x^2+4*x-1)/(x^2+6*x-1) ogf] A078469 17.2523 [2*(1+x^2)/(x^2+4*x-1)/(x^2+6*x-1) lgdogf] A078469 5.64566 [{a(n+3)-6*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=12} ogf] A078469 8.19018 [-(2*x^2+2)/(-x^4-10*x^3-22*x^2+10*x-1) lgdogf] A078469 8.19019 [-f(x)*x^2-6*f(x)*x+x^2+f(x)+4*x-1 ogf] A078476 11.5246 [(3*x^4-x^3-2*x^2-1)/(x+1)/(x-1)^3 ogf] A078476 13.9864 [-(-2-8*x+5*x^4+6*x^3-7*x^2)/(x-1)/(1+x)/(3*x^4-x^3-2*x^2-1) lgdogf] A078476 6.32555 [-(118*f(x)-10893)*(f(x)*x^4-2*f(x)*x^3-3*x^4+x^3+2*f(x)*x+2*x^2-f(x)+1) ogf] A078476 8.41298 [-(-5*x^4-6*x^3+7*x^2+8*x+2)/(-3*x^6+x^5+5*x^4-x^3-x^2-1) lgdogf] A078477 5.88585 [(2*x-8*x^7-2*x^5-4*x^4+4*x^3+4*x^12-4*x^10-25*x^8+11*x^6+5*x^2-4*x^9+1)/(x-1)/(1+x)/(x^2+1)/(2*x^2-1)/(2*x^7+2*x^6-x^5+x^3-x^2+x+1) lgdogf] A078477 8.10403 [(2*x^7+2*x^6-x^5+x^3-x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(2*x^2-1) ogf] A078481 8.27028 [f(x)^2*x^2+f(x)^2*x+f(x)*x^2+f(x)*x-f(x)+x ogf] A078482 13.8052 [-1/2*(-1-3*x-x^2+(1+2*x+7*x^2+6*x^3+x^4)^(1/2))/(1+x) revogf] A078482 7.72462 [-1/2*(-x^2+(x^4+6*x^3+7*x^2+2*x+1)^(1/2)-3*x-1)/(x+1) revogf] A078482 8.72427 [f(x)^2*x-f(x)*x^2+3*f(x)*x-x^2-f(x)+x ogf] A078483 6.13965 [x^3*f(x)^2-4*f(x)^2*x^2+5*f(x)^2*x+2*f(x)*x^2-f(x)^2-5*f(x)*x+f(x)+x ogf] A078484 11.9827 [-x*(2*x^2-2*x+1)/(2*x^3-4*x^2+4*x-1) ogf] A078484 14.2347 [-2*(2*x^2+1)*(x-1)^2/(2*x^2-2*x+1)/(2*x^3-4*x^2+4*x-1) lgdogf] A078484 5.94561 [{-a(n+4)+4*a(n+3)-4*a(n+2)+2*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A078484 7.2792 [f(x)*(2*f(x)*x^3-4*f(x)*x^2+2*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A078484 7.86742 [-(-4*x^4+8*x^3-6*x^2+4*x-2)/(-4*x^5+12*x^4-18*x^3+14*x^2-6*x+1) lgdogf] A078485 11.2755 [(-1+4*x+16*x^5-48*x^4+52*x^3-22*x^2)/(x-1)/(2*x-1)/(4*x^4-6*x^3+2*x-1) lgdogf] A078485 12.3070 [-x*(4*x^4-6*x^3+2*x-1)/(2*x-1)/(x-1) ogf] A078486 6.15223 [-x*(6*x^5-10*x^4+21*x^3-19*x^2+7*x-1)/(6*x^6-16*x^5+44*x^4-53*x^3+31*x^2-9*x+1) ogf] A078488 13.6570 [-(1+x)^(1/25)+1 revogf] A078488 35.3823 [-(1+x)^(1/25)+1 revogf] A078488 4.67880 [{(n-23)*a(n+1)+(-n-3)*a(n+2),a(0)=-25,a(1)=300} ogf] A078501 10.9407 [-(-7+18*x+16*x^4-16*x^3-8*x^2)/(x-1)/(2*x-1)/(4*x^3-4*x^2+1) lgdogf] A078501 7.97348 [-(4*x^3-4*x^2+1)/(2*x-1)^2/(x-1)^3 ogf] A078509 3.52954 [{-a(n)+(-n^2-n)*a(n+1)+(-n^3-5*n^2-8*n-4)*a(n+2)+(n^3+6*n^2+11*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6} egf] A078513 5.51140 [-(1+4*x+36*x^6+36*x^5+12*x^2+28*x^3+37*x^4-16*x^11-4*x^8+16*x^7+40*x^10+24*x^9+12*x^12)/(2*x^5-2*x^4+4*x^3+2*x^2+x+1)/(2*x^8+9*x^4-1) lgdogf] A078513 8.75118 [-x*(2*x^5-2*x^4+4*x^3+2*x^2+x+1)/(2*x^8+9*x^4-1) ogf] A078522 13.8119 [-24*x/(x-1)/(x^2-34*x+1) ogf] A078522 16.2395 [-(35-70*x+3*x^2)/(x-1)/(x^2-34*x+1) lgdogf] A078522 5.71527 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=840} ogf] A078522 8.28715 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+24*x ogf] A078522 9.74957 [-(3*x^2-70*x+35)/(x^3-35*x^2+35*x-1) lgdogf] A078529 6.87154 [-(3*x^13-2*x^12+x^11+x^7+x^3+x^2-5*x+3)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A078531 12.9815 [-1+f(x)^2-4*f(x)^3*x ogf] A078531 18.2552 [x*(1-4*x)^(1/2) revogf] A078531 38.1456 [x*(1-4*x)^(1/2) revogf] A078531 4.17262 [{(108*n^2+432*n+384)*a(n+1)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A078532 22.3743 [x*(1-9*x)^(1/3) revogf] A078532 3.93395 [{(6912*n^3+51840*n^2+120528*n+83160)*a(n+1)+(-n^3-12*n^2-47*n-60)*a(n+4),a(0)=1,a(1)=3,a(2)=27,a(3)=315} ogf] A078532 46.9331 [x*(1-9*x)^(1/3) revogf] A078533 19.6195 [x*(1-16*x)^(1/4) revogf] A078533 21.7722 [x*(1-16*x)^(1/4) revogf] A078534 18.8881 [x*(1-25*x)^(1/5) revogf] A078534 38.2483 [x*(1-25*x)^(1/5) revogf] A078535 10.8039 [x*(1-36*x)^(1/6) revogf] A078535 21.6418 [x*(1-36*x)^(1/6) revogf] A078616 30.2511 [-x/(-x+1) ogf_with_Euler_transform] A078617 7.71212 [-(2+4*x+10*x^7+14*x^5+8*x^4+10*x^3+7*x^8+6*x^6+7*x^2+4*x^9)/(x-1)/(1+x)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+1) lgdogf] A078617 9.45279 [-(x^4+x^3+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A078618 7.90558 [(x^4+3*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A078618 9.21562 [-(4+12*x+3*x^7+3*x^6+18*x^5+18*x^4+23*x^3+15*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+3*x^2+x+1) lgdogf] A078621 7.14687 [(5+8*x-32*x^7+48*x^5+26*x^4-28*x^3+24*x^8-32*x^6-18*x^2)/(x-1)/(2*x^2-1)/(2*x^2-2*x-1)/(2*x^4+2*x^3-2*x-1) lgdogf] A078621 9.08733 [(2*x^2-2*x-1)*(2*x^4+2*x^3-2*x-1)/(x-1)/(2*x^2-1) ogf] A078623 12.8679 [-(-x^2+x)/(x^3-2*x^2+x-1) revogf] A078623 8.12707 [-f(x)^3*x^3+2*f(x)^2*x^2+f(x)^2*x-f(x)*x-f(x)+1 ogf] A078634 10.7277 [(-1+4*x-x^2+((1-4*x+x^2)*(x-2)^2)^(1/2))/(1-4*x+x^2) lgdegf] A078634 5.81023 [(-x^2+(x^4-8*x^3+21*x^2-20*x+4)^(1/2)+4*x-1)/(x^2-4*x+1) lgdegf] A078642 12.4125 [-(x^2+4*x+3)/(x^3+3*x^2+x-2) lgdogf] A078642 17.6534 [-2*(x+2)/(x^2+x-1) ogf] A078642 19.4265 [1/2/(x+2)*(-4-x+(16+16*x+5*x^2)^(1/2)) revogf] A078642 26.3645 [-(x+3)*(x+1)/(x+2)/(x^2+x-1) lgdogf] A078642 8.82669 [-(7*f(x)-10)*(f(x)*x^2+f(x)*x-f(x)+2*x+4) ogf] A078642 9.68783 [{-a(n+2)+a(n+1)+a(n),a(0)=4,a(1)=6} ogf] A078678 10.2562 [f(x)^2*x^2-3*f(x)^2*x+f(x)^2-x^2-x-1 ogf] A078678 10.5537 [-(-2*x^2+2)/(-x^4+2*x^3+x^2+2*x-1) lgdogf] A078678 19.5569 [-2*(x-1)*(x+1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A078679 10.6075 [-(x+1)*(x^4-2*x^3+3*x^2-1)/(x-1)/(x^2-x+1)/(x^3+2*x^2+2*x-1) lgdogf] A078679 5.46034 [-(3*f(x)+1)*(f(x)^2*x^4+x^3*f(x)^2-3*f(x)^2*x+f(x)^2-x^2+x-1) ogf] A078679 6.76853 [-(x^5-x^4+x^3+3*x^2-x-1)/(x^6-2*x^3+4*x^2-4*x+1) lgdogf] A078688 8.57436 [-(-3-2*x-10*x^6+3*x^5+x^7+x^4-35*x^3-3*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^3-4*x^2-4*x-1) lgdogf] A078688 9.42000 [-(x^2-x+1)*(x^3-4*x^2-4*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A078689 8.90842 [-(-2-2*x-26*x^3-3*x^2+x^4+3*x^5-8*x^6+x^7)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^3-3*x^2-3*x-1) lgdogf] A078689 9.67088 [-(x^3-3*x^2-3*x-1)*(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A078690 7.49940 [-(x^9-3*x^8-30*x^7-13*x^6+x^5-x^4-12*x^3-30*x^2-2*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A078697 3.15781 [(x^2+x+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A078700 12.4321 [-(x+1)/(x^2+x-1) egf] A078700 19.5595 [-(2+2*x+x^2)/(x+1)/(x^2+x-1) lgdegf] A078700 6.21604 [-(13*f(x)+3)*(f(x)*x^2+f(x)*x-f(x)+x+1) egf] A078700 9.32407 [-(-x^2-2*x-2)/(-x^3-2*x^2+1) lgdegf] A078712 14.9106 [(2*x+3)/(x^3-x-1) ogf] A078712 21.7799 [-(-1+9*x^2+4*x^3)/(3+2*x)/(x^3-x-1) lgdogf] A078712 7.13807 [{-a(n+3)-a(n+2)+a(n),a(0)=-3,a(1)=1,a(2)=-1} ogf] A078712 7.71241 [(23*f(x)+75)*(f(x)*x^3-f(x)*x-f(x)-2*x-3) ogf] A078712 8.82867 [-(4*x^3+9*x^2-1)/(2*x^4+3*x^3-2*x^2-5*x-3) lgdogf] A078716 6.59051 [-(5*x^8+8*x^7+4*x^6+7*x^5+3*x^4+6*x^3+2*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A078718 10.4294 [1/2*(3+8*x)*(-4*x-1+(4*x+1)^(1/2)+8*(4*x+1)^(1/2)*x)/(16*x+3)/(4*x+1)^(3/2)/x lgdogf] A078718 4.42378 [{(-32*n^2+16*n)*a(n+1)+(-20*n^2-30*n-10)*a(n+2)+(-3*n^2-9*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A078718 8.18872 [-16*x^4+4*f(x)^2*x-4*f(x)*x^2-3*x^3+f(x)^2-f(x)*x ogf] A078757 4.93317 [-(x^7+x^6-24*x^5+11*x^4+38*x^3-9*x^2-16*x-1)/(x^8+x^7-25*x^6+11*x^5+47*x^4-11*x^3-25*x^2-x+1) ogf] A078761 12.5620 [-(-10*x+19)/(-10*x^2+11*x-1) lgdogf] A078761 13.0645 [-45*(x-1)/(10*x-1)^2 ogf] A078761 14.9224 [-1/10*(-45-20*x+9*(25+20*x)^(1/2))/(9+20*x) revogf] A078761 23.7653 [-(-19+10*x)/(10*x-1)/(-1+x) lgdogf] A078761 7.10026 [(4*f(x)+181)*(100*f(x)*x^2-20*f(x)*x+f(x)+45*x-45) ogf] A078761 7.42300 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=45,a(1)=855} ogf] A078787 14.5175 [-(-100*x-102)/(-100*x^2+99*x+1) lgdogf] A078787 16.9886 [(100*x+1)/(x-1)^2 ogf] A078787 20.6139 [-1/2*(-1-2*x+(1+404*x)^(1/2))/(-100+x) revogf] A078787 27.9760 [-2*(51+50*x)/(100*x+1)/(x-1) lgdogf] A078787 8.67896 [(101*f(x)+5101)*(f(x)*x^2-2*f(x)*x+f(x)-100*x-1) ogf] A078787 9.50552 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=102} ogf] A078789 10.2005 [-(2*x^2-4*x+1)/(4*x-1)/(x^2-3*x+1) ogf] A078789 5.54765 [{-a(n+3)+7*a(n+2)-13*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A078789 6.32454 [-(141*f(x)+14)*(4*f(x)*x^3-13*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A078789 9.83682 [-(3-22*x+8*x^4-32*x^3+50*x^2)/(4*x-1)/(x^2-3*x+1)/(2*x^2-4*x+1) lgdogf] A078795 3.67719 [(1170*x^5-3420*x^4+3240*x^3-900*x^2-90*x+1)/(100*x-1)/(x-1)^3 ogf] A078818 13.3233 [-36*x^2-15*x-10+f(x)-x^3*f(x)^2 ogf] A078818 5.03403 [{(-4*n^2-22*n-24)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=10,a(1)=15} ogf] A078819 11.9139 [-400*x^3-140*x^2-56*x-35+f(x)-f(x)^2*x^4 ogf] A078819 4.96662 [{(-4*n^2-26*n-30)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=35,a(1)=56} ogf] A078820 4.76120 [{(-4*n^2-30*n-50)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=5,a(1)=24} ogf] A078831 5.12119 [-x*(2*x^15+2*x^14+6*x^13+4*x^12+4*x^11+3*x^10+3*x^9+x^8-2*x^6-3*x^5-5*x^4-4*x^3-3*x^2-2*x-1)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^5-1) ogf] A078836 15.4193 [-(-10*x+7)/(-10*x^2+11*x-3) lgdogf] A078836 17.0953 [-2*(5*x-3)/(2*x-1)^2 ogf] A078836 19.3379 [-1/2*(-3-2*x+(9+2*x)^(1/2))/(5+2*x) revogf] A078836 25.0677 [-(-7+10*x)/(-1+2*x)/(5*x-3) lgdogf] A078836 9.03889 [(2*f(x)+37)*(4*f(x)*x^2-4*f(x)*x+f(x)+10*x-6) ogf] A078836 9.47451 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=6,a(1)=14} ogf] A078876 4.55666 [-x*(x+1)*(x^4+17*x^3+48*x^2+17*x+1)/(x-1)^9 ogf] A078876 8.46906 [-(27+274*x+4*x^5+650*x^2+462*x^3+95*x^4)/(x-1)/(x+1)/(x^4+17*x^3+48*x^2+17*x+1) lgdogf] A078891 3.03301 [-(540000000*x^5+13500000*x^4+270000*x^3-21600*x^2+270*x-1)/(x-1)/(100*x-1)^3 ogf] A078904 13.3608 [-(12*x-6)/(4*x^2-5*x+1) lgdogf] A078904 14.5484 [-3*x/(4*x-1)/(x-1)^2 ogf] A078904 25.8058 [-6*(2*x-1)/(-1+4*x)/(x-1) lgdogf] A078904 5.84534 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=0,a(1)=3,a(2)=18} ogf] A078904 8.50233 [4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+3*x ogf] A078905 11.6342 [-(5*x^2-5)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A078907 10.5495 [(x^2-x+1)^3/(x-1)^2 ogf] A078907 14.0110 [-(4*x^2-7*x+1)/(-x^3+2*x^2-2*x+1) lgdogf] A078907 27.0856 [-3*x^5+3*x^2+3*x-1 ogf_with_Euler_transform] A078907 30.6250 [(1-7*x+4*x^2)/(x-1)/(x^2-x+1) lgdogf] A078907 4.59849 [{(-n-4)*a(n+4)+(5+2*n)*a(n+3)+(3-2*n)*a(n+2)+(-3+n)*a(n+1),a(0)=1,a(1)=-1,a(2)=3,a(3)=0} ogf] A078922 12.0642 [-(x-1)/(x^2-11*x+1) ogf] A078922 12.6370 [-1/2*(-11*x-1+(117*x^2+18*x+1)^(1/2))/(1+x) revogf] A078922 16.9809 [-(10-2*x+x^2)/(x-1)/(x^2-11*x+1) lgdogf] A078922 6.09837 [-(27*f(x)-2)*(f(x)*x^2-11*f(x)*x+f(x)+x-1) ogf] A078922 6.60656 [{a(n+2)-11*a(n+1)+a(n),a(0)=1,a(1)=10} ogf] A078922 8.28285 [-(-x^2+2*x-10)/(-x^3+12*x^2-12*x+1) lgdogf] A078932 4.56085 [(x^21-x^19+x^18-x^15-x^3+x-1)/(x^20-2*x^19+2*x^18+x^16-x^15+x^12-x^10+x^9+x^6-x^2+2*x-1) ogf] A078940 17.0933 [-a(n)+(n+1)*a(n+1),a(0)=4,a(1)=3 lgdegf] A078940 21.1841 [1+3*exp(x) lgdegf] A078944 16.3933 [(-n-2)*a(n+2)+a(n+1),a(0)=4,a(1)=4 lgdegf] A078944 25.0892 [4*exp(x) lgdegf] A078945 15.9346 [-a(n)+(n+1)*a(n+1),a(0)=5,a(1)=4 lgdegf] A078945 19.7698 [1+4*exp(x) lgdegf] A078986 10.4107 [{a(n+2)-38*a(n+1)+a(n),a(0)=1,a(1)=19} ogf] A078986 12.4570 [-1/2*(-1-38*x+(1+1440*x^2)^(1/2))/(x+19) revogf] A078986 12.4928 [-(-19*x^2+2*x-19)/(-19*x^3+723*x^2-57*x+1) lgdogf] A078986 13.1127 [-(19-2*x+19*x^2)/(19*x-1)/(x^2-38*x+1) lgdogf] A078986 18.6064 [-(19*x-1)/(x^2-38*x+1) ogf] A078986 9.20525 [-(720*f(x)-359)*(f(x)*x^2-38*f(x)*x+f(x)+19*x-1) ogf] A078987 11.0677 [-1/2*(-1-38*x+(36*x+1)^(1/2)*(40*x+1)^(1/2))/x revogf] A078987 13.8261 [-(2*x-38)/(x^2-38*x+1) lgdogf] A078987 20.3324 [1/(x^2-38*x+1) ogf] A078987 22.1354 [-2*(-19+x)/(x^2+1-38*x) lgdogf] A078987 8.22980 [{-a(n+2)+38*a(n+1)-a(n),a(0)=1,a(1)=38} ogf] A078987 8.22981 [(721*f(x)+1)*(f(x)*x^2-38*f(x)*x+f(x)-1) ogf] A078988 10.1800 [-(-x^2+2*x-65)/(-x^3+67*x^2-67*x+1) lgdogf] A078988 10.9081 [-1/2*(-1-66*x+(1+128*x+4352*x^2)^(1/2))/(1+x) revogf] A078988 14.8273 [-(x-1)/(x^2-66*x+1) ogf] A078988 15.3395 [-(65-2*x+x^2)/(x-1)/(x^2-66*x+1) lgdogf] A078988 7.25592 [-(4288*f(x)-63)*(f(x)*x^2-66*f(x)*x+f(x)+x-1) ogf] A078988 8.11973 [{a(n+2)-66*a(n+1)+a(n),a(0)=1,a(1)=65} ogf] A078989 10.1800 [-(x^2+2*x-67)/(x^3-65*x^2-65*x+1) lgdogf] A078989 10.9081 [-1/2*(-1-66*x+(1+136*x+4352*x^2)^(1/2))/(x-1) revogf] A078989 14.8273 [(x+1)/(x^2-66*x+1) ogf] A078989 14.8747 [-(-67+2*x+x^2)/(x+1)/(x^2-66*x+1) lgdogf] A078989 7.57841 [(4420*f(x)+69)*(f(x)*x^2-66*f(x)*x+f(x)-x-1) ogf] A078989 8.11973 [{-a(n+2)+66*a(n+1)-a(n),a(0)=1,a(1)=67} ogf] A078993 9.28392 [-x^5*(2*x^3+4*x^2-5*x-2)/(x-1)/(x+1)/(2*x^2-1)/(x^2+x-1)/(x^2-x-1) ogf] A078998 7.35339 [-(10*f(x)*x^2-11*f(x)*x+f(x)-1)^2 ogf] A079003 12.3562 [-(x^2+6*x-3)/(3*x-1)/(x-1) ogf] A079003 14.5874 [-2*(3-10*x+11*x^2)/(x-1)/(3*x-1)/(x^2+6*x-3) lgdogf] A079003 6.35804 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=3,a(1)=6,a(2)=14} ogf] A079003 6.61492 [-(55*f(x)+78)*(3*f(x)*x^2-4*f(x)*x+x^2+f(x)+6*x-3) ogf] A079003 8.50491 [-(22*x^2-20*x+6)/(3*x^4+14*x^3-32*x^2+18*x-3) lgdogf] A079004 10.4466 [(24*x^3-9*x^2-18*x+7)/(3*x-1)/(x-1) ogf] A079004 5.62509 [{-a(n+4)+4*a(n+3)-3*a(n+2),a(0)=7,a(1)=10,a(2)=10,a(3)=34} ogf] A079004 6.32823 [(7*f(x)-74)*(3*f(x)*x^2-24*x^3-4*f(x)*x+9*x^2+f(x)+18*x-7) ogf] A079004 9.62841 [2*(5-30*x+36*x^4-96*x^3+81*x^2)/(x-1)/(3*x-1)/(24*x^3-9*x^2-18*x+7) lgdogf] A079006 13.4898 [-(2*x-2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A079006 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*2^(3/4) A079027 12.8221 [-(-125*x+35)/(-125*x^2+55*x-6) lgdogf] A079027 14.4249 [-(25*x-6)/(5*x-1)^2 ogf] A079027 20.0008 [-1/25*(-3-5*x+(9+5*x)^(1/2))/(1+x) revogf] A079027 23.4493 [-5*(-7+25*x)/(5*x-1)/(25*x-6) lgdogf] A079027 7.7797 [(2*f(x)+37)*(25*f(x)*x^2-10*f(x)*x+f(x)+25*x-6) ogf] A079027 8.14580 [{-a(n+2)+10*a(n+1)-25*a(n),a(0)=6,a(1)=35} ogf] A079028 11.5605 [-(-12*x+5)/(-12*x^2+7*x-1) lgdogf] A079028 12.5657 [-(3*x-1)/(4*x-1)^2 ogf] A079028 15.7128 [-1/2*(-1-8*x+(1+4*x)^(1/2))/(16*x+3) revogf] A079028 20.9504 [-(-5+12*x)/(-1+4*x)/(3*x-1) lgdogf] A079028 6.96414 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=1,a(1)=5} ogf] A079028 9.47469 [(8*f(x)+17)*(16*f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A079034 13.7723 [-(2+2*x+9*x^2-4*x^3+x^4)/(x-1)/(x^4-4*x^3+7*x^2-3*x+1) lgdogf] A079034 7.73834 [-(-x^4+4*x^3-9*x^2-2*x-2)/(-x^5+5*x^4-11*x^3+10*x^2-4*x+1) lgdogf] A079034 7.98271 [-(x^4-4*x^3+7*x^2-3*x+1)/(x-1)^5 ogf] A079037 10.0500 [(-3-x+1131*x^5-12*x^2-1304*x^3-1231*x^4)/(x-1)/(377*x^5+327*x^4+4*x^3+x+1) lgdogf] A079037 10.3885 [(377*x^5+327*x^4+4*x^3+x+1)/(x-1)^2 ogf] A079043 14.8796 [(106*x^16+6*x+1)/(x-1)^2 ogf] A079043 16.0316 [2*(-4-3*x-848*x^15+742*x^16)/(x-1)/(106*x^16+6*x+1) lgdogf] A079043 8.86447 [-(1484*x^16-1696*x^15-6*x-8)/(-106*x^17+106*x^16-6*x^2+5*x+1) lgdogf] A079053 5.49534 [(26*x^10+68*x^8+6*x^7-4*x^6+16*x^5-12*x^4-5*x^2-x-1)/(x^2+x-1)/(x^4+3*x^2+1) ogf] A079097 12.2372 [(x^2+1)*(x^2-x-1)/(x-1)^3/(x+1)^3 ogf] A079097 13.9146 [-(-1-6*x+2*x^5-3*x^4+4*x^3-8*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2-x-1) lgdogf] A079097 8.58961 [-(-2*x^5+3*x^4-4*x^3+8*x^2+6*x+1)/(-x^6+x^5+x^4+x^2-x-1) lgdogf] A079102 11.1916 [-(8*x^3+2*x^2-2*x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A079102 8.48953 [-2*(1+4*x+16*x^5-16*x^3+32*x^6-6*x^2)/(2*x+1)/(-1+2*x)/(2*x^2-1)/(8*x^3+2*x^2-2*x-1) lgdogf] A079102 9.20828 [8*f(x)*x^4-6*f(x)*x^2+8*x^3+2*x^2+f(x)-2*x-1 ogf] A079162 10.4127 [-2*(1+4*x+5*x^2-4*x^3-6*x^4+2*x^5)/(x^2-2*x-1)/(2*x^4-5*x^2+1) lgdogf] A079162 10.7523 [-x*(x^2-2*x-1)/(2*x^4-5*x^2+1) ogf] A079162 6.76177 [(3*f(x)+1)*(2*f(x)*x^4-5*f(x)*x^2+x^3-2*x^2+f(x)-x) ogf] A079165 11.3328 [-arcsinh(x)^2+arcsinh(x) revegf] A079165 20.4863 [-arcsinh(x)*(arcsinh(x)-1) revegf] A079165 4.53313 [{a(n+1)+(4*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=13} ogf] A079262 10.1208 [-(1+2*x+7*x^6+6*x^5+3*x^2+4*x^3+5*x^4+8*x^7)/(x^2-1+x+x^8+x^4+x^3+x^6+x^5+x^7) lgdogf] A079262 9.15711 [-x^7/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A079272 11.0904 [2*(3*x-2)/(x-1)/(3*x-1)^2 ogf] A079272 15.0343 [-(11-27*x+18*x^2)/(x-1)/(3*x-1)/(3*x-2) lgdogf] A079272 5.20764 [{-a(n+3)+7*a(n+2)-15*a(n+1)+9*a(n),a(0)=4,a(1)=22,a(2)=94} ogf] A079272 6.83618 [-(271*f(x)-348)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x-f(x)-6*x+4) ogf] A079272 8.67941 [-(-18*x^2+27*x-11)/(-9*x^3+18*x^2-11*x+2) lgdogf] A079273 12.4141 [-(2*x^2+18*x+10)/(2*x^3+5*x^2-6*x-1) lgdogf] A079273 13.4316 [-(2*x^2+7*x+1)/(x-1)^3 ogf] A079273 23.6475 [-2*(5+9*x+x^2)/(x-1)/(2*x^2+7*x+1) lgdogf] A079273 6.82774 [(88300*f(x)-390799)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+7*x+1) ogf] A079273 7.18710 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=29} ogf] A079280 4.81705 [-8*x^3*f(x)^2+4*f(x)^2*x^2+4*f(x)*x^3+2*f(x)^2*x-4*f(x)*x^2-5*x^3-f(x)^2-f(x)*x+f(x)+x ogf] A079282 11.5418 [-(x-1)^2/(x^2+x-1)/(2*x-1)^2 ogf] A079282 15.6919 [-(3-3*x-6*x^2+4*x^3)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A079282 3.53793 [{(2*n+14)*a(n+1)+(n+8)*a(n+2)+(-3*n-20)*a(n+3)+(n+6)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=24} ogf] A079282 6.23051 [(13*f(x)-22)*(4*f(x)*x^4-7*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A079282 8.80060 [-(4*x^3-6*x^2-3*x+3)/(2*x^4-x^3-4*x^2+4*x-1) lgdogf] A079284 13.1665 [-(1+4*x+4*x^5+2*x^4-8*x^3-5*x^2)/(-1+x)/(x+1)/(2*x^2-1)/(x^2+x-1) lgdogf] A079284 13.3935 [-(x-1)*(x+1)/(2*x^2-1)/(x^2+x-1) ogf] A079284 6.90933 [(19*f(x)-2)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A079284 7.77300 [-(-4*x^5-2*x^4+8*x^3+5*x^2-4*x-1)/(-2*x^6-2*x^5+5*x^4+3*x^3-4*x^2-x+1) lgdogf] A079285 10.0018 [-(1+8*x-13*x^2-12*x^3+10*x^4+8*x^5)/(2*x^2-1)/(x^2+x-1)/(2*x^2+x-2) lgdogf] A079285 5.11931 [(f(x)-6)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+2*x^3-f(x)*x+x^2+f(x)-2*x) ogf] A079285 9.32697 [-x*(2*x^2+x-2)/(2*x^2-1)/(x^2+x-1) ogf] A079289 10.3646 [(x-1)^2*(x+1)^2/(2*x^2-1)/(x^2+x-1) ogf] A079289 12.7943 [(-1-2*x+2*x^4+2*x^3+3*x^2)/(x-1)/(1+x)/(2*x^2-1)/(x^2+x-1) lgdogf] A079289 5.68886 [(f(x)-2)*(2*f(x)*x^4+2*f(x)*x^3-x^4-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-1) ogf] A079291 10.5204 [-x*(x-1)/(x+1)/(x^2-6*x+1) ogf] A079291 13.4179 [-2*(2+5*x-4*x^2+x^3)/(x-1)/(x+1)/(x^2-6*x+1) lgdogf] A079291 5.40236 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A079291 5.60432 [(4*f(x)+1)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+x^2+f(x)-x) ogf] A079291 8.21455 [-(-2*x^3+8*x^2-10*x-4)/(-x^4+6*x^3-6*x+1) lgdogf] A079309 4.87650 [{(-4*n-14)*a(n+1)+(5*n+18)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=4,a(2)=14} ogf] A079309 5.69545 [-4*f(x)^2*x^4+9*x^3*f(x)^2-6*f(x)^2*x^2+f(x)^2*x+4*f(x)*x^2-5*f(x)*x+f(x)-1 ogf] A079313 7.34706 [-(3*x^11-2*x^10+x^9-7*x^7+x^6-2*x^5-5*x^4-2*x^3-5*x^2-3*x-1)/(x^2+1)^2/(x-1)^2/(x+1)^2 ogf] A079319 5.29676 [-(13*f(x)+5)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A079319 5.48425 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A079319 9.05981 [-(3-24*x+66*x^2-64*x^3+16*x^4)/(x-1)/(2*x-1)/(-1+4*x)/(2*x^2-4*x+1) lgdogf] A079319 9.99548 [-(2*x^2-4*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A079326 13.8960 [-(-2-12*x+x^5-7*x^2-5*x^3+x^4)/(x-1)/(x+1)/(x^4-3*x^2-x-1) lgdogf] A079326 9.66882 [(x^4-3*x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A079340 13.2942 [-(5+2*x+32*x^2)/(-1+4*x)/(16*x^2-5*x+1) lgdegf] A079340 7.90396 [-(-32*x^2-2*x-5)/(-64*x^3+36*x^2-9*x+1) lgdegf] A079343 11.2040 [-x*(x^3+2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A079343 11.5795 [-(1+2*x+2*x^7+5*x^6-4*x^5+8*x^4-6*x^3+4*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^3+2*x^2+1) lgdogf] A079344 8.03117 [-x*(x^7+6*x^6-5*x^5+3*x^4+x^3+x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A079351 11.1493 [-(4*x^25-4*x^15+4*x^5-4*x^3+2*x-3)/(x-1)^2 ogf] A079351 8.30864 [2*(2-x+6*x^2+6*x^5-2*x^3-10*x^4-26*x^15+30*x^14+46*x^25-50*x^24)/(x-1)/(4*x^25-4*x^15+4*x^5-4*x^3+2*x-3) lgdogf] A079352 3.79647 [-(12288*x^14+6144*x^13+3072*x^12+4608*x^11+1536*x^10+768*x^9+384*x^8+192*x^7+96*x^6+48*x^5+24*x^4+12*x^3+4*x^2+2*x+1)/(6144*x^12-1) ogf] A079354 7.10608 [(2*x^10+3*x^9-x^8-x^7-x^6-x^5+3*x^4-x^3+3*x^2+3*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A079356 5.16150 [(2*x^9-4*x^8+7*x^7-4*x^6+2*x^5+x^4-3*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A079360 14.0321 [(4*x+1)/(x-1)/(2*x^2-1) ogf] A079360 15.8489 [-(-5-4*x+16*x^3-2*x^2)/(x-1)/(4*x+1)/(2*x^2-1) lgdogf] A079360 6.64021 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=7} ogf] A079360 6.88614 [(267*f(x)+1072)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-4*x-1) ogf] A079360 9.18152 [-(-16*x^3+2*x^2+4*x+5)/(-8*x^4+6*x^3+6*x^2-3*x-1) lgdogf] A079362 11.6196 [-(2*x^2-3*x-1)/(x-1)/(3*x^2-1) ogf] A079362 12.8647 [-2*(2+x+3*x^4-9*x^3+x^2)/(x-1)/(3*x^2-1)/(2*x^2-3*x-1) lgdogf] A079362 6.11033 [(582*f(x)+1247)*(3*f(x)*x^3-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-3*x-1) ogf] A079362 6.32855 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=4,a(2)=5} ogf] A079362 7.23263 [-(-6*x^4+18*x^3-2*x^2-2*x-4)/(-6*x^5+15*x^4-4*x^3-8*x^2+2*x+1) lgdogf] A079398 11.271 [f(x)*x^4+f(x)*x^3+x^3+x^2-f(x)+x ogf] A079398 13.8578 [-x*(x^2+x+1)/(x^4+x^3-1) ogf] A079398 15.4305 [-(1+2*x+3*x^2+2*x^5+6*x^3+4*x^4)/(x^2+x+1)/(x^4+x^3-1) lgdogf] A079414 13.2577 [-2*(26+141*x+72*x^2+x^3)/(x-1)/(x+1)/(x^2+46*x+1) lgdogf] A079414 3.45434 [{(-22*n^2-151*n-255)*a(n+1)+(44*n^2+264*n+508)*a(n+2)+(-22*n^2-113*n-141)*a(n+3),a(0)=1,a(1)=52,a(2)=297} ogf] A079414 7.45207 [-(x+1)*(x^2+46*x+1)/(x-1)^5 ogf] A079414 8.39537 [-(2*x^3+144*x^2+282*x+52)/(x^4+46*x^3-46*x-1) lgdogf] A079416 12.8739 [-(x^47+x^21-x^20+x^18+x^8+2)/(x-1) ogf] A079416 9.17620 [(-2-8*x^7+7*x^8+20*x^21-40*x^20+20*x^19+17*x^18-18*x^17-47*x^46+46*x^47)/(x-1)/(x^47+x^21-x^20+x^18+x^8+2) lgdogf] A079440 4.67795 [x^2*(x^22+x^21+x^20+x^18+x^17+x^16+x^14+x^13+x^12+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A079460 6.01079 [(8-10*x-52*x^7+16*x^8-11*x^2+21*x^3-11*x^4-25*x^5+60*x^6)/(2*x-1)/(x-1)/(2*x^7-3*x^6+x^5+2*x^4-3*x^3+x^2+2) lgdogf] A079460 6.76932 [-(2*x^7-3*x^6+x^5+2*x^4-3*x^3+x^2+2)/(2*x-1)/(x-1)^2 ogf] A079472 11.9042 [-(-3*x^2+4*x+2)/(-x^3+2*x^2+2*x-1) lgdogf] A079472 16.9304 [2*x/(x+1)/(x^2-3*x+1) ogf] A079472 22.7777 [-(-2-4*x+3*x^2)/(x+1)/(x^2-3*x+1) lgdogf] A079472 6.86368 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=4} ogf] A079472 7.32566 [-(15*f(x)+8)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-2*x) ogf] A079484 5.96877 [{(4*n^2+16*n+15)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A079489 19.2691 [1/2*(1-2*x+(1-8*x)^(1/2))*x revogf] A079489 7.88283 [(-32*n^2-160*n-198)*a(n+1)+(2*n^2+11*n+15)*a(n+2),a(0)=3,a(1)=35 lgdogf] A079489 9.49693 [(-x+1/2+1/2*(-8*x+1)^(1/2))*x revogf] A079496 10.6745 [-(x^3+3*x^2-x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A079496 6.48453 [-(41*f(x)-17)*(f(x)*x^4-6*f(x)*x^2+x^3+3*x^2+f(x)-x-1) ogf] A079496 8.61063 [-(3+10*x+2*x^5-3*x^4-4*x^3+x^6+15*x^2)/(-1+2*x+x^2)/(x^2-2*x-1)/(x^3+x^2-3*x-1) lgdogf] A079497 6.97204 [-(x^7+x^6+x^5+x^4-13*x^3-9*x^2-5*x-1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A079503 11.3570 [-2*(2+13*x+5*x^4+67*x^3+93*x^2)/(x-1)/(5*x^4+38*x^3+18*x^2-2*x+1) lgdogf] A079503 6.74414 [2*x*(5*x^4+38*x^3+18*x^2-2*x+1)/(x-1)^6 ogf] A079503 7.12952 [-(10*x^4+134*x^3+186*x^2+26*x+4)/(5*x^5+33*x^4-20*x^3-20*x^2+3*x-1) lgdogf] A079504 6.26905 [8*x*(17*x^4+194*x^3+234*x^2+34*x+1)/(x-1)^6 ogf] A079504 9.86151 [-2*(20+319*x+17*x^4+325*x^3+759*x^2)/(x-1)/(17*x^4+194*x^3+234*x^2+34*x+1) lgdogf] A079505 5.08728 [(268+361*f(x))*(f(x)*x^4-4*f(x)*x^3-7*x^4+6*f(x)*x^2+29*x^3-4*f(x)*x-45*x^2+f(x)+31*x-14) ogf] A079505 5.48604 [(7*x^4-29*x^3+45*x^2-31*x+14)/(x-1)^4 ogf] A079505 8.47838 [(-25+3*x+x^3-3*x^2)/(-1+x)/(7*x^4-29*x^3+45*x^2-31*x+14) lgdogf] A079509 3.15107 [x*(x-2)/(x-1)^3 ogf] A079524 10.2646 [-(4*x^3-2*x^2-4*x-4)/(2*x^4-2*x^3-3*x^2+2*x+1) lgdogf] A079524 12.6334 [x*(2*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A079524 13.5165 [-2*(-2-2*x+2*x^3-x^2)/(x-1)/(x+1)/(2*x^2-2*x-1) lgdogf] A079524 6.73092 [-(79*f(x)-798)*(f(x)*x^4-2*f(x)*x^3-2*x^3+2*f(x)*x+2*x^2-f(x)+x) ogf] A079547 10.4368 [-(11+35*x+3*x^3+23*x^2)/(-1+x)/(x+1)/(x^2+4*x+1) lgdogf] A079547 3.40570 [{(n^2+2*n)*a(n)+(-2*n^2-6*n-33)*a(n+1)+(n^2+4*n+3)*a(n+2),a(0)=0,a(1)=1} ogf] A079547 5.10855 [x*(x+1)*(x^2+4*x+1)/(x-1)^6 ogf] A079547 6.81140 [-(3*x^3+23*x^2+35*x+11)/(x^4+4*x^3-4*x-1) lgdogf] A079583 11.4279 [-(x^2-x+1)/(2*x-1)/(x-1)^2 ogf] A079583 14.8557 [-(-3+5*x+2*x^3-2*x^2)/(x-1)/(-1+2*x)/(x^2-x+1) lgdogf] A079583 6.16902 [(109*f(x)+3)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)-x+1) ogf] A079583 6.22411 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A079583 8.71375 [-(2*x^3-2*x^2+5*x-3)/(2*x^4-5*x^3+6*x^2-4*x+1) lgdogf] A079588 11.1888 [(21*x^2+26*x+1)/(x-1)^4 ogf] A079588 11.3486 [-(42*x^2+120*x+30)/(21*x^3+5*x^2-25*x-1) lgdogf] A079588 19.9989 [-6*(5+20*x+7*x^2)/(x-1)/(21*x^2+26*x+1) lgdogf] A079588 3.83769 [{(n+4)*a(n+4)+(45+25*n)*a(n+3)+(-130-5*n)*a(n+2)+(-63-21*n)*a(n+1),a(0)=1,a(1)=30,a(2)=135,a(3)=364} ogf] A079588 5.29601 [-(27101088*f(x)+554600083)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-26*x-1) ogf] A079598 10.1465 [-1/16*(-1-20*x+(1+72*x+144*x^2)^(1/2))/(-1+8*x) revogf] A079598 10.3671 [-4*(-7+32*x+128*x^2)/(-1+16*x)/(8*x+1)/(4*x-1) lgdogf] A079598 10.3825 [(8*x+1)/(16*x-1)/(4*x-1) ogf] A079598 5.48287 [(27*f(x)+22)*(64*f(x)*x^2-20*f(x)*x+f(x)-8*x-1) ogf] A079598 5.74089 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=1,a(1)=28} ogf] A079598 6.68460 [-(512*x^2+128*x-28)/(512*x^3-96*x^2-12*x+1) lgdogf] A079599 27.2327 [-2*(2+3*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A079599 8.86560 [-2*x*(128*x^60+44*x^59+3*x^2+4*x+1)/(28*x^61+48*x^60-44*x^59-x^4+2*x^2-1) ogf] A079610 10.4441 [15*(21*x^2+28*x+1)/(x-1)^4 ogf] A079610 11.0409 [-(42*x^2+126*x+32)/(21*x^3+7*x^2-27*x-1) lgdogf] A079610 18.5121 [-2*(16+63*x+21*x^2)/(x-1)/(21*x^2+28*x+1) lgdogf] A079610 3.66284 [{(n+4)*a(n+4)+(49+27*n)*a(n+3)+(-140-7*n)*a(n+2)+(-63-21*n)*a(n+1),a(0)=15,a(1)=480,a(2)=2145,a(3)=5760} ogf] A079610 5.36708 [(23095*f(x)+7455849)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-315*x^2+f(x)-420*x-15) ogf] A079662 15.9862 [-2*(-1+2*x+2*x^3-4*x^2)/(x-1)/(x^3-x^2+2*x-1) lgdogf] A079662 8.62921 [(x-1)^2/(x^3-x^2+2*x-1)^2 ogf] A079662 9.16854 [-(-4*x^3+8*x^2-4*x+2)/(-x^4+2*x^3-3*x^2+3*x-1) lgdogf] A079675 15.1151 [(1+4*x)/(x-1)/(x^2-x+1)/(x^3-4*x^2+5*x-1) lgdogf] A079675 6.02316 [(x-1)^5/(x^2-x+1)/(x^3-4*x^2+5*x-1) ogf] A079675 7.61966 [-(4*x+1)/(-x^6+6*x^5-15*x^4+20*x^3-16*x^2+7*x-1) lgdogf] A079734 5.60089 [(3*x^13+2*x^12+3*x^11+3*x^10-4*x^9-2*x^8-2*x^7-3*x^6-2*x^5-x^4-x^3+3*x+2)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A079746 3.55952 [(6*f(x)*x-f(x)+2*x+1)^3 ogf] A079751 4.07351 [{(-n-5)*a(n+1)+(n+7)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A079753 3.30816 [{(-n^2-10*n-25)*a(n+1)+(n^2+10*n+23)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=3,a(2)=21} ogf] A079754 3.26180 [{(n^2+9*n+20)*a(n+1)+(-n^2-9*n-16)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A079757 12.9900 [(2*x+1)/(x^2+x+1)/(x+1) ogf] A079757 23.5115 [-x*(4+4*x^2+7*x)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A079757 6.20244 [{-a(n+3)-2*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A079757 8.49964 [f(x)*x^3+2*f(x)*x^2+2*f(x)*x+f(x)-2*x-1 ogf] A079757 9.05883 [-(-4*x^3-7*x^2-4*x)/(-2*x^4-5*x^3-6*x^2-4*x-1) lgdogf] A079758 4.44529 [-(6*f(x)*x-f(x)+2*x+1)^3 ogf] A079773 12.2284 [-(-30*x-2)/(-15*x^2-2*x+1) lgdogf] A079773 16.0900 [-x/(3*x+1)/(5*x-1) ogf] A079773 16.7226 [1/30/x*(-2*x-1+(64*x^2+4*x+1)^(1/2)) revogf] A079773 22.2968 [-2*(1+15*x)/(3*x+1)/(5*x-1) lgdogf] A079773 7.45635 [{-a(n+2)+2*a(n+1)+15*a(n),a(0)=0,a(1)=1} ogf] A079773 7.45636 [(2*f(x)+1)*(15*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A079810 9.44394 [-(3*x^4-2*x^3+4*x^2+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A079810 9.47436 [-(1+9*x-9*x^6+29*x^5-x^2+23*x^3+5*x^4+15*x^7)/(x-1)/(x+1)/(x^2+1)/(3*x^4-2*x^3+4*x^2+1) lgdogf] A079816 13.9668 [-1/(x^6+x^5+x^4+x^3+x-1) ogf] A079816 14.5159 [-(1+6*x^5+5*x^4+4*x^3+3*x^2)/(x^3-1+x+x^5+x^4+x^6) lgdogf] A079816 7.40239 [-(-6*x^5-5*x^4-4*x^3-3*x^2-1)/(-x^6-x^5-x^4-x^3-x+1) lgdogf] A079824 7.62965 [(x^4+2*x^3+2*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A079838 2.02489 [(2*f(x)*x-f(x)+1)^2 ogf] A079859 16.3115 [-(-6*x+5)/(-6*x^2+7*x-2) lgdogf] A079859 17.3989 [-2*(3*x-2)/(2*x-1)^2 ogf] A079859 19.2417 [-1/2*(-2-2*x+(2*x+4)^(1/2))/(3+2*x) revogf] A079859 25.9023 [-(-5+6*x)/(-1+2*x)/(3*x-2) lgdogf] A079859 9.10406 [(2*f(x)+17)*(4*f(x)*x^2-4*f(x)*x+f(x)+6*x-4) ogf] A079859 9.43313 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=4,a(1)=10} ogf] A079861 12.6239 [-(-18*x+11)/(-18*x^2+19*x-5) lgdogf] A079861 13.9669 [-2*(9*x-5)/(2*x-1)^2 ogf] A079861 17.8643 [-1/2*(-5-2*x+(25+2*x)^(1/2))/(9+2*x) revogf] A079861 22.9684 [-(-11+18*x)/(-1+2*x)/(9*x-5) lgdogf] A079861 7.37578 [(2*f(x)+101)*(4*f(x)*x^2-4*f(x)*x+f(x)+18*x-10) ogf] A079861 7.81480 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=10,a(1)=22} ogf] A079862 14.6513 [-(-34*x+19)/(-34*x^2+35*x-9) lgdogf] A079862 16.2100 [-2*(17*x-9)/(2*x-1)^2 ogf] A079862 16.4792 [-1/2*(-9-2*x+(81+2*x)^(1/2))/(17+2*x) revogf] A079862 21.7761 [-(-19+34*x)/(2*x-1)/(17*x-9) lgdogf] A079862 8.56032 [(2*f(x)+325)*(4*f(x)*x^2-4*f(x)*x+f(x)+34*x-18) ogf] A079862 9.06987 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=18,a(1)=38} ogf] A079863 14.6958 [-(-66*x+35)/(-66*x^2+67*x-17) lgdogf] A079863 16.0567 [-1/2*(-17-2*x+(289+2*x)^(1/2))/(33+2*x) revogf] A079863 16.5718 [-2*(33*x-17)/(2*x-1)^2 ogf] A079863 21.5934 [-(-35+66*x)/(2*x-1)/(33*x-17) lgdogf] A079863 8.65416 [(2*f(x)+1157)*(4*f(x)*x^2-4*f(x)*x+f(x)+66*x-34) ogf] A079863 9.27232 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=34,a(1)=70} ogf] A079902 12.2559 [-(-2*x^4+2*x^3+4*x)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A079903 11.9325 [-(28+212*x+x^4+50*x^3+249*x^2)/(x-1)/(x^4+23*x^3+60*x^2+23*x+1) lgdogf] A079903 7.22392 [-(-x^4-50*x^3-249*x^2-212*x-28)/(-x^5-22*x^4-37*x^3+37*x^2+22*x+1) lgdogf] A079903 7.81363 [-(x^4+23*x^3+60*x^2+23*x+1)/(x-1)^5 ogf] A079908 10.3087 [(x^4+4*x^2+1)/(x-1)^4 ogf] A079908 19.4152 [-4*(1+x)*(x^2+x+1)/(x-1)/(x^4+4*x^2+1) lgdogf] A079908 5.57431 [(30*f(x)-11)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-1) ogf] A079908 8.55150 [-(-4*x^3-8*x^2-8*x-4)/(-x^5+x^4-4*x^3+4*x^2-x+1) lgdogf] A079909 10.0169 [(-5-22*x-11*x^4-44*x^3+x^6-6*x^5-33*x^2)/(x-1)/(1+x^2)/(x^4+10*x^2+1) lgdogf] A079909 7.58357 [-(x^2+1)*(x^4+10*x^2+1)/(x-1)^5 ogf] A079910 5.66072 [(6*x^7+11*x^6+20*x^5+51*x^4+6*x^3+25*x^2+1)/(x-1)^6 ogf] A079910 6.83496 [2*(-3-25*x-59*x^2-43*x^5-111*x^3-101*x^4+3*x^7-21*x^6)/(x-1)/(6*x^7+11*x^6+20*x^5+51*x^4+6*x^3+25*x^2+1) lgdogf] A079911 4.09665 [-(6*x^10-29*x^9+120*x^8-49*x^7+267*x^6+105*x^5+211*x^4+37*x^3+51*x^2+1)/(x-1)^7 ogf] A079921 10.2386 [-(x^3-x^2-2*x+3)/(x^2+x-1)/(x-1)^2 ogf] A079921 12.6892 [-(-7+7*x+x^5-4*x^3-x^4+6*x^2)/(x-1)/(x^2+x-1)/(x^3-x^2-2*x+3) lgdogf] A079921 4.30805 [{(n+6)*a(n+1)+a(n+2)+(-2*n-11)*a(n+3)+(n+5)*a(n+4),a(0)=3,a(1)=7,a(2)=14,a(3)=26} ogf] A079921 5.75456 [(3*f(x)+1)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)-2*x+3) ogf] A079922 6.84355 [-(x^7-4*x^4+2*x^3+3*x-4)/(x-1)^2/(x^3+x^2+x-1)^2 ogf] A079922 7.00136 [-(13-6*x+3*x^6-6*x^7-6*x^2-12*x^3+5*x^4+x^10)/(x-1)/(x^3+x^2+x-1)/(x^7-4*x^4+2*x^3+3*x-4) lgdogf] A079929 4.81583 [{(9*n^2+36*n+35)*a(n+1)-a(n+2),a(0)=1,a(1)=8} ogf] A079934 8.22747 [(x-1)*(2*x^8+2*x^7+2*x^6-11*x^5-12*x^4-13*x^3-9*x^2-4*x-1)/(x^6-6*x^3+1) ogf] A079935 13.8422 [-(x-1)/(x^2-4*x+1) ogf] A079935 15.2546 [-1/2*(-1-4*x+(1+4*x+12*x^2)^(1/2))/(1+x) revogf] A079935 20.3395 [-(3-2*x+x^2)/(x-1)/(x^2-4*x+1) lgdogf] A079935 6.92109 [-(10*f(x)-1)*(f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A079935 7.59632 [{a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A079935 9.73278 [-(-x^2+2*x-3)/(-x^3+5*x^2-5*x+1) lgdogf] A079947 4.84573 [-(x^39-x^35+x^33-x^32+x^23-x^19+x^17-x^16-x^15+x^7-x^3+x-1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x^16-x^8+1)/(x-1)^2 ogf] A079949 117.433 [6+2*x lgdegf] A079949 5.03484 [{(-2*n-4)*a(n+1)+a(n+3)-6*a(n+2),a(0)=1,a(1)=6,a(2)=38} ogf] A079955 11.5224 [-(-6*x^5-5*x^4-2*x)/(-x^6-x^5-x^2+1) lgdogf] A079955 17.8642 [-x*(2+5*x^3+6*x^4)/(x+1)/(x^2-x+1)/(x^3+x^2-1) lgdogf] A079955 20.2345 [-1/(x+1)/(x^2-x+1)/(x^3+x^2-1) ogf] A079956 10.7099 [-(-6*x^5-4*x^3-3*x^2)/(-x^6-x^4-x^3+1) lgdogf] A079956 16.8751 [-x^2*(3+4*x+6*x^3)/(x+1)/(x^5-x^4+2*x^3-x^2+x-1) lgdogf] A079956 19.8526 [-1/(x+1)/(x^5-x^4+2*x^3-x^2+x-1) ogf] A079957 10.7598 [-(-6*x^5-5*x^4-3*x^2)/(-x^6-x^5-x^3+1) lgdogf] A079957 18.1720 [-1/(x^6+x^5+x^3-1) ogf] A079957 22.1011 [-x^2*(3+5*x^2+6*x^3)/(-1+x^3+x^5+x^6) lgdogf] A079958 15.0254 [-(1+2*x+6*x^5+3*x^2)/(x^2+x+1)/(x^4-x^3+2*x-1) lgdogf] A079958 15.6727 [-1/(x^2+x+1)/(x^4-x^3+2*x-1) ogf] A079958 8.81590 [-(-6*x^5-3*x^2-2*x-1)/(-x^6-x^3-x^2-x+1) lgdogf] A079959 15.8806 [-1/(x^6+x^4+x^2+x-1) ogf] A079959 18.4317 [-(1+2*x+6*x^5+4*x^3)/(x^2-1+x+x^6+x^4) lgdogf] A079959 8.93281 [-(-6*x^5-4*x^3-2*x-1)/(-x^6-x^4-x^2-x+1) lgdogf] A079960 14.6998 [-1/(x^6+x^5+x^2+x-1) ogf] A079960 18.5777 [-(1+2*x+6*x^5+5*x^4)/(x^2-1+x+x^6+x^5) lgdogf] A079960 9.00360 [-(-6*x^5-5*x^4-2*x-1)/(-x^6-x^5-x^2-x+1) lgdogf] A079961 16.4904 [-1/(x^6+x^4+x^3+x-1) ogf] A079961 18.1880 [-(1+3*x^2+4*x^3+6*x^5)/(x^3-1+x+x^6+x^4) lgdogf] A079961 8.83414 [-(-6*x^5-4*x^3-3*x^2-1)/(-x^6-x^4-x^3-x+1) lgdogf] A079962 12.6961 [-(3*x^2+x+1)*(2*x^3+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A079962 15.3271 [-1/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A079962 8.94083 [-(-6*x^5-5*x^4-3*x^2-1)/(-x^6-x^5-x^3-x+1) lgdogf] A079963 16.3950 [-1/(x^6+x^5+x^4+x-1) ogf] A079963 18.0755 [-(1+5*x^4+4*x^3+6*x^5)/(x^4-1+x+x^6+x^5) lgdogf] A079963 8.78305 [-(6*x^5+5*x^4+4*x^3+1)/(x^6+x^5+x^4+x-1) lgdogf] A079964 14.3160 [-1/(x^2+x+1)/(x^4-x^3+x^2+x-1) ogf] A079964 14.9507 [-x*(2+3*x+4*x^2+6*x^4)/(x^2+x+1)/(x^4-x^3+x^2+x-1) lgdogf] A079964 8.62212 [-(6*x^5+4*x^3+3*x^2+2*x)/(x^6+x^4+x^3+x^2-1) lgdogf] A079965 14.9940 [-1/(x^6+x^5+x^3+x^2-1) ogf] A079965 17.4073 [-x*(x+1)*(6*x^3-x^2+x+2)/(-1+x^2+x^3+x^5+x^6) lgdogf] A079965 9.03045 [-(6*x^5+5*x^4+3*x^2+2*x)/(x^6+x^5+x^3+x^2-1) lgdogf] A079966 14.7239 [-1/(x^6+x^5+x^4+x^2-1) ogf] A079966 17.1723 [-x*(2+6*x^4+4*x^2+5*x^3)/(-1+x^2+x^4+x^5+x^6) lgdogf] A079966 8.86778 [-(-6*x^5-5*x^4-4*x^3-2*x)/(-x^6-x^5-x^4-x^2+1) lgdogf] A079967 12.4639 [-(1+2*x+3*x^2+4*x^3+6*x^5)/(x+1)/(x^5-x^4+2*x^3-x^2+2*x-1) lgdogf] A079967 13.9058 [-1/(x+1)/(x^5-x^4+2*x^3-x^2+2*x-1) ogf] A079967 7.67718 [-(-6*x^5-4*x^3-3*x^2-2*x-1)/(-x^6-x^4-x^3-x^2-x+1) lgdogf] A079968 13.5732 [-1/(x^6+x^5+x^3+x^2+x-1) ogf] A079968 14.6932 [-(1+2*x+3*x^2+5*x^4+6*x^5)/(x^2-1+x+x^5+x^3+x^6) lgdogf] A079968 7.49351 [-(-6*x^5-5*x^4-3*x^2-2*x-1)/(-x^6-x^5-x^3-x^2-x+1) lgdogf] A079969 12.7612 [-(1+2*x+4*x^3+5*x^4+6*x^5)/(x+1)/(x^2-x+1)/(x^3+x^2+x-1) lgdogf] A079969 12.7868 [-1/(x+1)/(x^2-x+1)/(x^3+x^2+x-1) ogf] A079969 7.59216 [-(-6*x^5-5*x^4-4*x^3-2*x-1)/(-x^6-x^5-x^4-x^2-x+1) lgdogf] A079970 4.12619 [-1/(x^6+x^5+x^4+x^3+x-1) ogf] A079971 11.6227 [-(-5*x^4-2*x-1)/(-x^5-x^2-x+1) lgdogf] A079971 20.1041 [-1/(x^5+x^2+x-1) ogf] A079971 26.0502 [-(1+2*x+5*x^4)/(x^2-1+x+x^5) lgdogf] A079972 11.2680 [-(5*x^4+4*x^3+1)/(x^5+x^4+x-1) lgdogf] A079972 18.6883 [-1/(x^5+x^4+x-1) ogf] A079972 25.0424 [-(1+4*x^3+5*x^4)/(x^4-1+x+x^5) lgdogf] A079972 7.73962 [(4*f(x)-1)*(f(x)*x^5+f(x)*x^4+f(x)*x-f(x)+1) ogf] A079973 10.8913 [-(5*x^4+3*x^2+2*x)/(x^5+x^3+x^2-1) lgdogf] A079973 17.4260 [-1/(x^5+x^3+x^2-1) ogf] A079973 23.4167 [-x*(2+3*x+5*x^3)/(-1+x^2+x^3+x^5) lgdogf] A079974 11.3448 [-(-5*x^4-4*x^3-2*x)/(-x^5-x^4-x^2+1) lgdogf] A079974 18.1516 [-1/(x+1)/(x^4+x-1) ogf] A079974 23.7965 [-x*(2+4*x^2+5*x^3)/(x+1)/(x^4+x-1) lgdogf] A079975 15.8294 [-1/(x^5+x^3+x^2+x-1) ogf] A079975 18.3742 [-(1+2*x+3*x^2+5*x^4)/(x^2-1+x+x^5+x^3) lgdogf] A079975 8.90406 [-(-5*x^4-3*x^2-2*x-1)/(-x^5-x^3-x^2-x+1) lgdogf] A079976 14.6568 [-1/(x^5+x^4+x^2+x-1) ogf] A079976 17.5990 [-(x+1)*(5*x^3-x^2+x+1)/(x^2-1+x+x^5+x^4) lgdogf] A079976 8.97726 [-(-5*x^4-4*x^3-2*x-1)/(-x^5-x^4-x^2-x+1) lgdogf] A079977 12.6997 [-(-4*x^3-2*x)/(-x^4-x^2+1) lgdogf] A079977 17.0430 [a(n+4)-a(n+2)-a(n),a(0)=0,a(1)=2,a(2)=0,a(3)=6 lgdogf] A079977 19.2211 [-1/(x^4+x^2-1) ogf] A079977 8.78001 [(5*f(x)-4)*(f(x)*x^4+f(x)*x^2-f(x)+1) ogf] A079978 12.962 [-f(x)*x^3+f(x)-1 ogf] A079978 14.7623 [3*x^2/(-x^3+1) lgdogf] A079978 21.2577 [-1/(x-1)/(x^2+x+1) ogf] A079978 31.1805 [[x^2] ogf_with_Euler_transform] A079978 33.5914 [-3*x^2/(-1+x)/(1+x^2+x) lgdogf] A079978 7.18166 [{a(n+3)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A079979 19.3164 [6*x^5/(-x^6+1) lgdogf] A079979 19.5306 [-6*x^5/(-1+x)/(x+1)/(1+x^2+x)/(x^2-x+1) lgdogf] A079979 27.8156 [-1/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A079979 40.8345 [[x^5] ogf_with_Euler_transform] A079980 6.62588 [-x*(-2-11*x^5+3*x^10+x^8-9*x^7-2*x^6-6*x-8*x^2-14*x^3)/(x-1)/(1+x+x^2)/(x^9+x^7-2*x^6+2*x^5+2*x^4+4*x^3+x^2-1) lgdogf] A079980 7.32191 [-(x-1)^2*(x^2+x+1)^2/(x^9+x^7-2*x^6+2*x^5+2*x^4+4*x^3+x^2-1) ogf] A079981 6.78017 [-(x-1)^2*(x+1)^2*(x^2+x+1)^2*(x^2-x+1)^2/(x^18+x^14-2*x^12+2*x^10+2*x^8+4*x^6+x^4-1) ogf] A079985 3.75424 [-(x^8+x^7-x^6-x^5-2*x^4+x^3-x^2-x+1)/(x^6-x^5-x-1)/(x^8+2*x^7+x^6-3*x^4+x^2-2*x+1) ogf] A079986 5.57035 [-2*x*(1+4*x^2+14*x^4-12*x^6-4*x^10+6*x^12+4*x^14+3*x^16)/(x^6+x^4+x^2-1)/(x^3-x^2+x+1)/(x^3+x^2+x-1)/(x^6-x^4-x^2-1) lgdogf] A079986 6.24196 [-(x^6+x^4+x^2-1)/(x^3-x^2+x+1)/(x^3+x^2+x-1)/(x^6-x^4-x^2-1) ogf] A079991 5.19861 [-(x^8+x^7-x^6-2*x^4-x^2-x+1)/(x^14+2*x^13-3*x^10-x^8-8*x^7+x^6+3*x^4+2*x-1) ogf] A079992 3.96685 [-(x-1)*(x+1)*(x^2+x+1)*(x^4-x^3+x^2+x-1)/(x^14+x^13-x^12+x^11+x^10+x^9-9*x^8-5*x^7+3*x^6+x^5+x^4-x^3+3*x^2+x-1) ogf] A079997 4.36105 [-(x^8+x^7-x^5-2*x^4+x^3-2*x^2-x+1)/(x+1)/(x^13-x^11+x^10-x^9-x^8-9*x^7-3*x^6+3*x^5+7*x^4-x^3+x^2+2*x-1) ogf] A079998 16.9698 [5*x^4/(-x^5+1) lgdogf] A079998 24.4364 [-1/(x-1)/(x^4+x^3+x^2+x+1) ogf] A079998 24.5708 [-5*x^4/(-1+x)/(x^4+x^3+x^2+x+1) lgdogf] A079998 35.8629 [[x^4] ogf_with_Euler_transform] A079999 7.74692 [-x^3*(-x^3+5*x^11+10*x^9+4*x^7-10*x^6-2*x^5-10*x^4+4+5*x+6*x^2)/(x^5+x^3-1)/(x^10+x^8-x^6-2*x^5-x^4-x^3+1) lgdogf] A079999 8.77730 [-(x^5+x^3-1)/(x^10+x^8-x^6-2*x^5-x^4-x^3+1) ogf] A080000 10.9168 [-(x-1)*(x^4+x^3+x^2+x+1)/(x^10-x^7+x^6-2*x^5-x+1) ogf] A080000 7.80954 [-(1+7*x^6+5*x^14-2*x^11+x^10-10*x^9+5*x^4-2*x^5)/(x-1)/(x^4+x^3+x^2+x+1)/(x^10-x^7+x^6-2*x^5-x+1) lgdogf] A080001 7.55264 [-x^2*(5*x^12+4*x^11-10*x^7-8*x^6+2*x^5+3+4*x+5*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^10+x^9-2*x^5-x^4-x^3+1) lgdogf] A080001 9.97578 [-(x-1)*(x^4+x^3+x^2+x+1)/(x^10+x^9-2*x^5-x^4-x^3+1) ogf] A080002 7.09152 [-x^3*(-10*x^3+5*x^11+10*x^8+x^7-10*x^6+6*x^5+4*x^4+4+5*x-8*x^2)/(x-1)/(x^3+x^2-1)/(x^5+x^2-1)/(x^6+x^4+2*x^3+x^2+x+1) lgdogf] A080002 8.78424 [-(x^5+x^2-1)/(x-1)/(x^3+x^2-1)/(x^6+x^4+2*x^3+x^2+x+1) ogf] A080003 7.14698 [-(x^5+x^3-1)/(x^10+x^8-x^7-2*x^5-2*x^4-x^3-x+1) ogf] A080004 7.14698 [-(x-1)*(x^4+x^3+x^2+x+1)/(x^10+x^9-x^7+x^6-4*x^5-x^4-x^3-x+1) ogf] A080005 6.57703 [-(5*x^14-3*x^12+8*x^11+2*x^10-16*x^9+x^8+16*x^7+x^2+4*x^3-10*x^5+1)/(x^5+x^2-1)/(x^10-x^8+2*x^6-x^5-x^4-x^2-x+1) lgdogf] A080005 7.66399 [-(x^5+x^2-1)/(x^10-x^8+2*x^6-x^5-x^4-x^2-x+1) ogf] A080006 6.48291 [-(x^5+x^3-1)/(x^4+x^3+x^2+x+1)/(x^6-x^3-x^2-x+1) ogf] A080007 6.59814 [-(x^5+x^3+x^2-1)/(x^10+x^8+2*x^7-4*x^5-2*x^4-2*x^3-x^2+1) ogf] A080008 6.12781 [-x^2*(4*x^11-10*x^4+5*x^12+10*x^9+7*x^8-10*x^7-2*x^6+2*x^5+3+8*x+4*x^2-4*x^3)/(x+1)/(x^5+x^2-1)/(x^9+x^6-x^5-x^4-x^3-x+1) lgdogf] A080008 7.34160 [-(x^5+x^2-1)/(x+1)/(x^9+x^6-x^5-x^4-x^3-x+1) ogf] A080009 6.17516 [-(x^5+x^3-1)/(x^10+x^9+x^8-x^7-5*x^5-3*x^4-2*x^3-x^2-x+1) ogf] A080010 5.93418 [-(x^5+x^3+x^2-1)/(x^10+x^7+2*x^6-3*x^5-3*x^4-2*x^3-x^2-x+1) ogf] A080011 5.98904 [-(x^5+x^2-1)/(x^10+x^9-x^8+x^6-3*x^5-2*x^4-x^3-x^2-x+1) ogf] A080012 5.52868 [-(x^5+x^3+x^2-1)/(x^10+x^9+x^8+2*x^7-x^6-5*x^5-4*x^4-3*x^3-2*x^2+1) ogf] A080013 13.3910 [-(x-1)*(x+1)/(x^6-x^4-x^3-x^2+1) ogf] A080013 14.7761 [-x^2*(-8*x^3+4*x^5-x^2+4*x+3)/(-1+x)/(x+1)/(x^6-x^4-x^3-x^2+1) lgdogf] A080013 8.55537 [-(4*x^7-8*x^5-x^4+4*x^3+3*x^2)/(x^8-2*x^6-x^5+x^3+2*x^2-1) lgdogf] A080014 8.99811 [-(x-1)*(x+1)/(x^6+x^5-x^4-x^3-x^2-x+1) ogf] A080014 9.16186 [-(1+3*x^6+4*x^7+4*x^2+4*x^3-6*x^4-8*x^5)/(x-1)/(x+1)/(x^6+x^5-x^4-x^3-x^2-x+1) lgdogf] A080015 99.9999 Evaluated at exp(-Pi) 2^(1/2)*(2-2^(1/2))^(1/2) A080023 10.4767 [f(x)*x^2+f(x)*x-x^2-f(x)+x+2 ogf] A080023 11.6227 [-(2*x^2+2*x+3)/(-x^4+4*x^2+x-2) lgdogf] A080023 14.0349 [(x+1)*(x-2)/(x^2+x-1) ogf] A080023 20.8402 [(3+2*x+2*x^2)/(x-2)/(x+1)/(x^2+x-1) lgdogf] A080023 7.29265 [{a(n+3)-a(n+2)-a(n+1),a(0)=2,a(1)=3,a(2)=4} ogf] A080029 11.1979 [-3*(1+4*x+5*x^2+x^5+9*x^3+8*x^4+2*x^6)/(x-1)/(3*x^4+x^3+6*x^2+3*x+2)/(x^2+x+1) lgdogf] A080029 11.5078 [x*(3*x^4+x^3+6*x^2+3*x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A080030 10.8491 [(2*x^5+5*x^4+x^3+4*x^2+x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A080030 9.36915 [-(1+8*x+10*x^6+2*x^7+15*x^2+25*x^3+26*x^4+3*x^5)/(x-1)/(x^2+x+1)/(2*x^5+5*x^4+x^3+4*x^2+x+2) lgdogf] A080031 10.8491 [(x^5+4*x^4+2*x^3+5*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A080031 9.36915 [-(2+10*x+8*x^6+x^7+12*x^2+26*x^3+25*x^4+6*x^5)/(x-1)/(x^2+x+1)/(x^5+4*x^4+2*x^3+5*x^2+2*x+1) lgdogf] A080032 8.10293 [-x*(3*x^10-2*x^9+x^8-8*x^6-3*x^4-6*x^3-x^2-4*x-2)/(x^2+1)^2/(x-1)^2/(x+1)^2 ogf] A080033 5.20607 [x*(4*x^14+x^13+8*x^12+12*x^11+3*x^10+16*x^9+6*x^8+20*x^7+16*x^6+7*x^5+12*x^4+8*x^3+5*x^2+4*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A080034 5.10992 [(x^15+5*x^14+2*x^13+9*x^12+13*x^11+4*x^10+17*x^9+7*x^8+19*x^7+15*x^6+6*x^5+11*x^4+7*x^3+4*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A080039 4.89348 [-(21*f(x)-32)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A080039 9.31774 [(2*x^3-x^2+1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A080039 9.66269 [-2*(-1-x+x^6-x^2+6*x^3+x^4-x^5)/(x-1)/(x+1)/(x^2+2*x-1)/(2*x^3-x^2+1) lgdogf] A080040 11.5943 [-(2*x^2-4*x-1)/(2*x^3-3*x+1) lgdogf] A080040 14.4284 [2*(x-1)/(2*x^2+2*x-1) ogf] A080040 18.1742 [-(-1-4*x+2*x^2)/(x-1)/(2*x^2+2*x-1) lgdogf] A080040 7.54977 [(9*f(x)-17)*(2*f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A080040 7.91805 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=2,a(1)=2} ogf] A080041 5.19424 [(5*f(x)+1)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*x^3-2*f(x)*x+f(x)-1) ogf] A080041 9.78611 [-2*(-1-3*x+8*x^3+3*x^4+2*x^6)/(x-1)/(x+1)/(2*x^2+2*x-1)/(2*x^3+1) lgdogf] A080041 9.98892 [(2*x^3+1)/(x-1)/(x+1)/(2*x^2+2*x-1) ogf] A080042 13.3258 [2*(2*x-1)/(3*x^2+4*x-1) ogf] A080042 15.0589 [-2*(-1-3*x+3*x^2)/(2*x-1)/(3*x^2+4*x-1) lgdogf] A080042 6.73778 [(133*f(x)-234)*(3*f(x)*x^2+4*f(x)*x-f(x)-4*x+2) ogf] A080042 7.31295 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=2,a(1)=4} ogf] A080042 9.36972 [-(6*x^2-6*x-2)/(6*x^3+5*x^2-6*x+1) lgdogf] A080043 4.19344 [-(1071*f(x)-1321)*(3*f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2-4*x^3-4*f(x)*x-x^2+f(x)-1) ogf] A080043 7.07587 [-2*(-2-5*x+2*x^2+22*x^3+10*x^4+3*x^5+6*x^6)/(x-1)/(x+1)/(3*x^2+4*x-1)/(4*x^3+x^2+1) lgdogf] A080043 8.21455 [(4*x^3+x^2+1)/(x-1)/(x+1)/(3*x^2+4*x-1) ogf] A080047 3.17365 [{(n^2+8*n+16)*a(n+1)+(-n^2-8*n-14)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A080054 15.8615 [-(-2*x^2+x-2)/(-x^4+1) ogf_with_Euler_transform] A080054 99.9999 Evaluated at exp(-Pi) 2^(1/8) A080095 13.2647 [-2*(8*x^2+4*x+1)/(2*x-1)/(4*x^2+2*x+1) ogf] A080095 8.61343 [{-a(n+3)+8*a(n),a(0)=2,a(1)=8,a(2)=16} ogf] A080095 8.72676 [(f(x)+4)*(8*f(x)*x^3+16*x^2-f(x)+8*x+2) ogf] A080095 9.84287 [-4*(1+4*x+6*x^2+16*x^3+16*x^4)/(2*x-1)/(1+2*x+4*x^2)/(8*x^2+4*x+1) lgdogf] A080097 11.1596 [x*(x-3)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A080097 11.3856 [-(-8+27*x^2-18*x^3+3*x^4)/(x-1)/(x-3)/(x+1)/(x^2-3*x+1) lgdogf] A080097 5.57979 [(24650*f(x)-6369)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-x^2-f(x)+3*x) ogf] A080097 6.69576 [-(-3*x^4+18*x^3-27*x^2+8)/(-x^5+6*x^4-9*x^3-3*x^2+10*x-3) lgdogf] A080108 28.4663 [exp(x)*(exp(-x)+x+1) lgdegf] A080108 6.60799 [(1/(x+1)*exp(-x)+1)*(exp(x)*x+exp(x)) lgdegf] A080141 4.37856 [{(3*n^2+18*n+27)*a(n+1)-a(n+2),a(0)=1,a(1)=12} ogf] A080143 11.1377 [-(-13+6*x^4-32*x^3+45*x^2)/(x-1)/(2*x-5)/(x+1)/(x^2-3*x+1) lgdogf] A080143 11.5065 [x*(2*x-5)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A080143 5.376 [-(1334176*f(x)-486407)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-2*x^2-f(x)+5*x) ogf] A080143 6.69257 [-(6*x^4-32*x^3+45*x^2-13)/(2*x^5-11*x^4+15*x^3+6*x^2-17*x+5) lgdogf] A080144 10.5607 [-(-21+72*x^2-50*x^3+9*x^4)/(x-1)/(3*x-8)/(x+1)/(x^2-3*x+1) lgdogf] A080144 10.9175 [x*(3*x-8)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A080144 5.22938 [(3993292*f(x)-2484057)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-3*x^2-f(x)+8*x) ogf] A080145 11.7504 [x/(x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A080145 14.6617 [-(4-2*x+5*x^3-11*x^2)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A080145 9.17496 [-(5*x^3-11*x^2-2*x+4)/(x^4-3*x^3+3*x-1) lgdogf] A080151 7.27646 [(17*x^8+15*x^7+13*x^6+11*x^5+9*x^4+7*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A080171 14.4363 [-(1-x)/(-x^2+x-1) lgdegf] A080171 39.5420 [x-1+(x^2+1-x)*f(x) lgdegf] A080171 4.87988 [{(n^2+4*n+4)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A080198 5.42639 [(93*x^15+98*x^14-5*x^12+5*x^11+88*x^10-83*x^9+83*x^8-5*x^7-10*x^6+12*x^5+6*x^4+x^2+1)/(x-1)^2 ogf] A080204 11.7036 [-(3+2*x+2*x^6-6*x^5-x^4+8*x^3-12*x^2)/(-1+x)/(2*x^3-3*x^2-1)/(x^3+2*x-1) lgdogf] A080204 11.7349 [-(2*x^3-3*x^2-1)/(x-1)/(x^3+2*x-1) ogf] A080204 6.16291 [(3599*f(x)+8708)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+2*x^3-3*f(x)*x-3*x^2+f(x)-1) ogf] A080206 7.54246 [(2*x^8-2*x^7-4*x^5-3*x^4-4*x^3-3*x^2+x+1)/(x^6-x^4-4*x^2+1) ogf] A080219 5.57032 [(5*x^19-3*x^18+4*x^17-x^16+x^15-4*x^14+5*x^13-8*x^12+8*x^11-3*x^10-3*x^9+7*x^8-5*x^7-3*x^6+5*x^2-5*x-1)/(x-1) ogf] A080227 4.43227 [{(n+2)*a(n+1)-a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A080239 13.7544 [1/(x-1)/(x+1)/(x^2+1)/(x^2+x-1) ogf] A080239 8.16669 [-(-6*x^5-5*x^4+4*x^3+2*x+1)/(-x^6-x^5+x^4+x^2+x-1) lgdogf] A080239 9.46469 [-(-1-2*x+6*x^5+5*x^4-4*x^3)/(-1+x)/(x+1)/(1+x^2)/(x^2+x-1) lgdogf] A080241 4.03657 [-x*(2*x^15+2*x^14-x^13-4*x^10-2*x^9-x^8-2*x^5-2*x^2-2*x-1)/(x+1)/(2*x-1)/(x^2-x+1)/(x^11+x^10-x^8-x^7-x^6+x^4+x^3-x-1) ogf] A080243 13.4189 [2*f(x)^2*x-f(x)*x+f(x)-1 ogf] A080243 16.7559 [-1/2*(-x-1+(1+6*x+x^2)^(1/2))/(1+6*x+x^2)^(1/2)/x lgdogf] A080243 17.9936 [-(2*x^2+x)/(-x-1) revogf] A080243 3.78812 [{(-n^2-n)*a(n)+(-7*n^2-19*n-12)*a(n+1)+(-7*n^2-37*n-48)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=-1,a(2)=3} ogf] A080243 54.7361 [x*(2*x+1)/(1+x) revogf] A080244 5.74975 [-f(x)^2*x^4+x^3*f(x)^2+f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2+f(x)*x+f(x)-1 ogf] A080250 3.82496 [(28514959*f(x)+167920)*(800*f(x)*x^4-1120*f(x)*x^3+354*f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A080250 8.27305 [-(-35+708*x-3360*x^2+3200*x^3)/(x-1)/(4*x-1)/(20*x-1)/(10*x-1) lgdogf] A080250 9.19333 [1/(x-1)/(4*x-1)/(20*x-1)/(10*x-1) ogf] A080252 3.62001 [{(4*n+8)*a(n+1)-4*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=10} ogf] A080260 17.5680 [-(3-6*x-6*x^2-2*x^3+x^4)/(x-1)/(x^4-3*x^3+x^2-2*x+1) lgdogf] A080260 8.27817 [-(x^4-2*x^3-6*x^2-6*x+3)/(x^5-4*x^4+4*x^3-3*x^2+3*x-1) lgdogf] A080260 8.36531 [-(x^4-3*x^3+x^2-2*x+1)/(x-1)^5 ogf] A080275 16.6567 [-(-1+6*x+6*x^2+10*x^3+x^4)/(x+1)/(x^4+7*x^3+9*x^2+6*x+1) lgdogf] A080275 8.77613 [-(-x^4-10*x^3-6*x^2-6*x+1)/(-x^5-8*x^4-16*x^3-15*x^2-7*x-1) lgdogf] A080275 9.14565 [(x^4+7*x^3+9*x^2+6*x+1)/(x+1)^5 ogf] A080322 13.1868 [-(-9+34*x-4*x^5+x^6-10*x^2-20*x^3+10*x^4)/(x^2-x+1)/(x^5-3*x^4+6*x^3-8*x^2+3) lgdogf] A080322 8.61325 [-(x^5-3*x^4+6*x^3-8*x^2+3)/(x^2-x+1)^3 ogf] A080332 14.6495 [-(-3*x-5)/(x^2-1) ogf_with_Euler_transform] A080332 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^3 A080335 11.9061 [-(x^3-x^2+3*x+1)/(x+1)/(x-1)^3 ogf] A080335 17.1463 [-(5+8*x+x^4+10*x^2)/(x-1)/(x+1)/(x^3-x^2+3*x+1) lgdogf] A080335 6.73381 [(46*f(x)-111)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)+3*x+1) ogf] A080335 9.23061 [-(-x^4-10*x^2-8*x-5)/(-x^5+x^4-2*x^3-2*x^2+3*x+1) lgdogf] A080337 16.8602 [exp(2*x)+exp(x)+1 lgdegf] A080337 34.0103 [1+exp(2*x)+exp(x) lgdegf] A080340 11.5507 [(3555593*x+7629217)/(x-1)^2 ogf] A080340 13.7453 [-(18814027+3555593*x)/(3555593*x+7629217)/(x-1) lgdogf] A080340 5.57959 [(22369620*f(x)+183304926769189)*(f(x)*x^2-2*f(x)*x+f(x)-3555593*x-7629217) ogf] A080340 6.93044 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7629217,a(1)=18814027} ogf] A080340 8.33408 [-(3555593*x+18814027)/(3555593*x^2+4073624*x-7629217) lgdogf] A080340 9.78829 [-1/2*(-7629217-2*x+(58204952033089+44739240*x)^(1/2))/(-3555593+x) revogf] A080341 11.7335 [-(5+10*x+2*x^5+16*x^2+16*x^3+5*x^4)/(x-1)/(x^2+x+1)/(x^3+x^2+3*x+1) lgdogf] A080341 9.43194 [-(x^3+x^2+3*x+1)/(x^2+x+1)/(x-1)^3 ogf] A080412 12.2249 [-(1+5*x+2*x^6+7*x^5-x^4+12*x^3+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2-x+2) lgdogf] A080412 12.4012 [x*(x^3+2*x^2-x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A080413 8.62178 [x*(x^7+2*x^6+2*x^5+2*x^4-5*x^3+2*x^2+2*x+2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A080414 8.62178 [x*(x^7+4*x^6-3*x^5+4*x^4-3*x^3+4*x^2-3*x+4)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A080420 11.8455 [(2*x-1)/(3*x-1)^3 ogf] A080420 13.2959 [-(-12*x+7)/(-6*x^2+5*x-1) lgdogf] A080420 24.5688 [-(-7+12*x)/(3*x-1)/(2*x-1) lgdogf] A080420 5.66522 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=7,a(2)=36} ogf] A080420 6.03242 [(61*f(x)-181)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)-2*x+1) ogf] A080421 12.8555 [-(-18*x+10)/(-6*x^2+5*x-1) lgdogf] A080421 23.3420 [-2*(-5+9*x)/(3*x-1)/(2*x-1) lgdogf] A080421 4.17386 [{(n+3)*a(n+3)+(-20-5*n)*a(n+2)+(24+6*n)*a(n+1),a(0)=1,a(1)=10,a(2)=66} ogf] A080421 4.94443 [(113*f(x)+613)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x+f(x)+2*x-1) ogf] A080421 9.73902 [-(2*x-1)/(3*x-1)^4 ogf] A080422 12.4878 [-(-24*x+13)/(-6*x^2+5*x-1) lgdogf] A080422 22.6676 [-(-13+24*x)/(3*x-1)/(2*x-1) lgdogf] A080422 4.02832 [{(n+3)*a(n+3)+(-23-5*n)*a(n+2)+(30+6*n)*a(n+1),a(0)=1,a(1)=13,a(2)=105} ogf] A080422 8.10896 [(2*x-1)/(3*x-1)^5 ogf] A080423 11.9954 [-(-30*x+16)/(-6*x^2+5*x-1) lgdogf] A080423 20.2618 [-2*(-8+15*x)/(3*x-1)/(-1+2*x) lgdogf] A080423 3.86948 [{(n+3)*a(n+3)+(-26-5*n)*a(n+2)+(36+6*n)*a(n+1),a(0)=1,a(1)=16,a(2)=153} ogf] A080423 6.66411 [-(2*x-1)/(3*x-1)^6 ogf] A080424 10.0974 [-18*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A080424 12.1169 [-(-36*x-3)/(-18*x^2-3*x+1) lgdogf] A080424 15.9433 [-x/(3*x+1)/(6*x-1) ogf] A080424 16.5714 [1/36/x*(-1-3*x+(1+6*x+81*x^2)^(1/2)) revogf] A080424 22.0952 [-3*(1+12*x)/(3*x+1)/(6*x-1) lgdogf] A080424 7.38834 [{-a(n+2)+3*a(n+1)+18*a(n),a(0)=0,a(1)=1} ogf] A080425 11.0454 [-(f(x)+4)*(f(x)*x^3+x^2-f(x)+2*x) ogf] A080425 11.0454 [{-a(n+3)+a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A080425 12.1824 [-(2*x^3+6*x^2+1)/(x^4+2*x^3-x-2) lgdogf] A080425 18.4090 [-x*(x+2)/(x-1)/(x^2+x+1) ogf] A080425 25.5968 [-(1+2*x^3+6*x^2)/(x+2)/(x-1)/(x^2+x+1) lgdogf] A080445 10.6721 [-(22*x^2+11*x+1)/(99*x^2-1) ogf] A080445 11.8128 [-11*(1+22*x+99*x^2)/(22*x^2+11*x+1)/(99*x^2-1) lgdogf] A080445 6.30626 [{a(n+3)-99*a(n+1),a(0)=1,a(1)=11,a(2)=121} ogf] A080445 6.45292 [-(1089*x^2+242*x+11)/(2178*x^4+1089*x^3+77*x^2-11*x-1) lgdogf] A080445 6.93689 [(20*f(x)-11)*(99*f(x)*x^2+22*x^2-f(x)+11*x+1) ogf] A080446 10.6721 [2*(45*x^2-6*x-1)/(99*x^2-1) ogf] A080446 12.6370 [6*(1+18*x+99*x^2)/(45*x^2-6*x-1)/(99*x^2-1) lgdogf] A080446 6.30626 [{a(n+3)-99*a(n+1),a(0)=2,a(1)=12,a(2)=108} ogf] A080446 6.60656 [-(15*f(x)-19)*(99*f(x)*x^2-90*x^2-f(x)+12*x+2) ogf] A080446 6.68616 [-(594*x^2+108*x+6)/(-4455*x^4+594*x^3+144*x^2-6*x-1) lgdogf] A080447 10.4708 [3*(63*x^2-4*x-1)/(99*x^2-1) ogf] A080447 12.6370 [4*(1+18*x+99*x^2)/(63*x^2-4*x-1)/(99*x^2-1) lgdogf] A080447 6.30626 [{a(n+3)-99*a(n+1),a(0)=3,a(1)=12,a(2)=108} ogf] A080447 6.45292 [-(21*f(x)-107)*(99*f(x)*x^2-189*x^2-f(x)+12*x+3) ogf] A080447 6.76770 [-(396*x^2+72*x+4)/(-6237*x^4+396*x^3+162*x^2-4*x-1) lgdogf] A080448 10.4708 [4*(72*x^2-3*x-1)/(99*x^2-1) ogf] A080448 12.6370 [3*(1+18*x+99*x^2)/(99*x^2-1)/(72*x^2-3*x-1) lgdogf] A080448 6.30626 [{a(n+3)-99*a(n+1),a(0)=4,a(1)=12,a(2)=108} ogf] A080448 6.52884 [-(15*f(x)-49)*(99*f(x)*x^2-288*x^2-f(x)+12*x+4) ogf] A080448 6.76770 [-(-297*x^2-54*x-3)/(7128*x^4-297*x^3-171*x^2+3*x+1) lgdogf] A080450 10.4708 [6*(81*x^2-2*x-1)/(99*x^2-1) ogf] A080450 12.6370 [2*(1+18*x+99*x^2)/(99*x^2-1)/(81*x^2-2*x-1) lgdogf] A080450 6.30626 [{a(n+3)-99*a(n+1),a(0)=6,a(1)=12,a(2)=108} ogf] A080450 6.52884 [-(15*f(x)-79)*(99*f(x)*x^2-486*x^2-f(x)+12*x+6) ogf] A080450 6.76770 [-(198*x^2+36*x+2)/(-8019*x^4+198*x^3+180*x^2-2*x-1) lgdogf] A080451 6.70851 [2*(-1-16*x+470448*x^6-18*x^2-10593*x^4)/(99*x^2-1)/(3168*x^5-54*x^3-83*x^2+2*x+1) lgdogf] A080451 7.39935 [-7*(3168*x^5-54*x^3-83*x^2+2*x+1)/(99*x^2-1) ogf] A080452 6.79237 [2*(-1-14*x+411642*x^6+9*x^2-10494*x^4)/(99*x^2-1)/(2772*x^5-72*x^3-85*x^2+2*x+1) lgdogf] A080452 7.39935 [-8*(2772*x^5-72*x^3-85*x^2+2*x+1)/(99*x^2-1) ogf] A080453 10.4498 [2*(1+12*x+3267*x^4)/(99*x^2-1)/(66*x^3+87*x^2-2*x-1) lgdogf] A080453 5.38787 [{-a(n+4)+99*a(n+2),a(0)=9,a(1)=18,a(2)=108,a(3)=1188} ogf] A080453 5.90373 [-(6534*x^4+24*x+2)/(-6534*x^5-8613*x^4+264*x^3+186*x^2-2*x-1) lgdogf] A080453 5.90374 [(187*f(x)-1413)*(99*f(x)*x^2-594*x^3-783*x^2-f(x)+18*x+9) ogf] A080453 8.80875 [9*(66*x^3+87*x^2-2*x-1)/(99*x^2-1) ogf] A080455 10.4939 [-(x^4-4*x^3-4*x^2-4*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A080455 8.60637 [-(-5-13*x-23*x^4-13*x^3+x^7-15*x^5-7*x^6-21*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-4*x^3-4*x^2-4*x-1) lgdogf] A080456 8.42007 [-(-3-7*x-7*x^5-3*x^4-15*x^3-3*x^6+x^7-11*x^2)/(x-1)/(x+1)/(2*x^5-x^4-2*x^3-2*x^2-2*x-1)/(x^2+1) lgdogf] A080456 9.60174 [-2*(2*x^5-x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A080457 11.7106 [(x^4+4*x^3+4*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A080457 9.53959 [-(7+7*x+21*x^4+27*x^3+x^7+5*x^5+9*x^6+19*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+4*x^3+4*x+3) lgdogf] A080458 12.9017 [-(2+4*x+3*x^5+5*x^4+7*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A080458 13.3795 [4*(x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A080458 28.0225 [x^3-x^2+2 ogf_with_Euler_transform] A080460 11.0132 [2*(x^4+2*x^3+2*x^2+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A080460 9.49067 [-(1+5*x+x^7+9*x^2+13*x^3+5*x^4+9*x^5+5*x^6)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^3+2*x^2+1) lgdogf] A080463 7.78273 [-x*(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A080464 8.15547 [x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A080476 10.0199 [-(-6*x^2-4*x-2)/(x^6-2*x^5-x^4+2*x^3-x^2+1) lgdogf] A080476 12.9488 [(x^4-2*x^3-1)/(x+1)/(x-1)^3 ogf] A080476 20.1395 [2*(1+2*x+3*x^2)/(x-1)/(x+1)/(x^4-2*x^3-1) lgdogf] A080476 9.05028 [-f(x)*x^4+2*f(x)*x^3+x^4-2*x^3-2*f(x)*x+f(x)-1 ogf] A080477 8.31777 [(f(x)-1)^2*(-71862*x^5+f(x)-1) ogf] A080486 4.66879 [{-a(n+3)+100*a(n+2),a(0)=1,a(1)=11,a(2)=121} ogf] A080486 4.94669 [-(f(x)-1)*(100*f(x)*x-979*x^2-f(x)-89*x+1) ogf] A080486 8.31044 [(979*x^2+89*x-1)/(100*x-1) ogf] A080486 8.44296 [11*(1-178*x+8900*x^2)/(100*x-1)/(979*x^2+89*x-1) lgdogf] A080487 3.92002 [-(223168*f(x)-35991)*(-3168*x^3+100*f(x)*x-1068*x^2-f(x)-188*x+2) ogf] A080487 3.95735 [{a(n+4)-100*a(n+3),a(0)=2,a(1)=12,a(2)=132,a(3)=10032} ogf] A080487 6.14033 [6*(1-178*x+52800*x^3+8108*x^2)/(100*x-1)/(1584*x^3+534*x^2+94*x-1) lgdogf] A080487 6.59559 [2*(1584*x^3+534*x^2+94*x-1)/(100*x-1) ogf] A080488 4.66879 [{-a(n+3)+100*a(n+2),a(0)=3,a(1)=33,a(2)=363} ogf] A080488 4.83165 [-(f(x)-3)*(100*f(x)*x-2937*x^2-f(x)-267*x+3) ogf] A080488 7.99081 [3*(979*x^2+89*x-1)/(100*x-1) ogf] A080488 8.44296 [11*(1-178*x+8900*x^2)/(100*x-1)/(979*x^2+89*x-1) lgdogf] A080489 3.92002 [-(111584*f(x)-35991)*(-6336*x^3+100*f(x)*x-2136*x^2-f(x)-376*x+4) ogf] A080489 3.95735 [{a(n+4)-100*a(n+3),a(0)=4,a(1)=24,a(2)=264,a(3)=20064} ogf] A080489 6.14033 [6*(1-178*x+52800*x^3+8108*x^2)/(100*x-1)/(1584*x^3+534*x^2+94*x-1) lgdogf] A080489 6.59559 [4*(1584*x^3+534*x^2+94*x-1)/(100*x-1) ogf] A080490 3.92002 [-(40789*f(x)+1057855)*(-315*x^3+100*f(x)*x-1395*x^2-f(x)-485*x+5) ogf] A080490 3.95735 [{a(n+4)-100*a(n+3),a(0)=5,a(1)=15,a(2)=105,a(3)=10185} ogf] A080490 6.43273 [3*(1-186*x+4200*x^3+9237*x^2)/(100*x-1)/(63*x^3+279*x^2+97*x-1) lgdogf] A080490 6.70197 [5*(63*x^3+279*x^2+97*x-1)/(100*x-1) ogf] A080491 3.88338 [-(223168*f(x)-107973)*(-9504*x^3+100*f(x)*x-3204*x^2-f(x)-564*x+6) ogf] A080491 3.95735 [{a(n+4)-100*a(n+3),a(0)=6,a(1)=36,a(2)=396,a(3)=30096} ogf] A080491 6.14033 [6*(1-178*x+52800*x^3+8108*x^2)/(100*x-1)/(1584*x^3+534*x^2+94*x-1) lgdogf] A080491 6.59559 [6*(1584*x^3+534*x^2+94*x-1)/(100*x-1) ogf] A080492 4.93040 [{-a(n+3)+100*a(n+2),a(0)=7,a(1)=77,a(2)=1771} ogf] A080492 5.15972 [-(f(x)-7)*(100*f(x)*x-5929*x^2-f(x)-623*x+7) ogf] A080492 5.47822 [-(84700*x^2-1694*x+11)/(-84700*x^3-8053*x^2+189*x-1) lgdogf] A080492 8.53338 [7*(847*x^2+89*x-1)/(100*x-1) ogf] A080492 9.03076 [11*(1-154*x+7700*x^2)/(100*x-1)/(847*x^2+89*x-1) lgdogf] A080493 4.93040 [{-a(n+3)+100*a(n+2),a(0)=8,a(1)=48,a(2)=1248} ogf] A080493 5.15972 [-(f(x)-8)*(100*f(x)*x-3552*x^2-f(x)-752*x+8) ogf] A080493 5.61691 [-(44400*x^2-888*x+6)/(-44400*x^3-8956*x^2+194*x-1) lgdogf] A080493 8.53338 [8*(444*x^2+94*x-1)/(100*x-1) ogf] A080493 9.22291 [6*(1-148*x+7400*x^2)/(100*x-1)/(444*x^2+94*x-1) lgdogf] A080494 4.93040 [{-a(n+3)+100*a(n+2),a(0)=9,a(1)=99,a(2)=9009} ogf] A080494 5.47823 [(f(x)-9)*(100*f(x)*x-891*x^2-f(x)-801*x+9) ogf] A080494 5.68892 [-(9900*x^2-198*x+11)/(-9900*x^3-8801*x^2+189*x-1) lgdogf] A080494 8.70071 [9*(99*x^2+89*x-1)/(100*x-1) ogf] A080494 9.63281 [11*(1-18*x+900*x^2)/(100*x-1)/(99*x^2+89*x-1) lgdogf] A080512 11.7209 [-(-2*x^3-9*x^2-6*x-3)/(-x^4-3*x^3+3*x+1) lgdogf] A080512 14.8053 [(x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A080512 18.7960 [-(3+6*x+2*x^3+9*x^2)/(x-1)/(x+1)/(1+x^2+3*x) lgdogf] A080512 7.27502 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=1,a(1)=3,a(2)=3} ogf] A080512 8.88317 [(14*f(x)-23)*(f(x)*x^4-2*f(x)*x^2-x^2+f(x)-3*x-1) ogf] A080513 10.2148 [-(-x^3+x^2+2*x+2)/(-x^4+x^3+2*x^2-x-1) lgdogf] A080513 13.3964 [-(x^2-x-1)/(x+1)/(x-1)^2 ogf] A080513 5.80859 [-(-2-2*x+x^3-x^2)/(-1+x)/(x+1)/(x^2-x-1) lgdogf] A080513 7.10594 [-(f(x)+3)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A080513 7.29628 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A080522 4.64873 [(21*f(x)+43)*(2*f(x)*x^4-7*f(x)*x^3+2*x^4+9*f(x)*x^2-5*x^3-5*f(x)*x+x^2+f(x)+2*x-1) ogf] A080522 8.03958 [-(2*x^4-5*x^3+x^2+2*x-1)/(2*x-1)/(x-1)^3 ogf] A080522 9.99445 [-(3-14*x+4*x^4-24*x^3+28*x^2)/(x-1)/(2*x-1)/(2*x^4-5*x^3+x^2+2*x-1) lgdogf] A080559 13.7866 [12/(x+1) lgdogf] A080599 12.6261 [-f(x)*x^2-2*f(x)*x+2*f(x)-2 egf] A080599 15.5196 [-(-2*x-2)/(-x^2-2*x+2) lgdegf] A080599 22.5740 [-2/(x^2+2*x-2) egf] A080599 36.6288 [-2*(x+1)/(x^2-2+2*x) lgdegf] A080599 5.24606 [{(n^2+5*n+6)*a(n+1)+(2*n+6)*a(n+2)-2*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A080609 12.5586 [-(8*x-4)/(8*x^2-8*x+1) lgdogf] A080609 16.4066 [-(-4*x+(1+8*x^2)^(1/2))/(-1+8*x^2)*x revogf] A080609 23.6255 [-4*(-1+2*x)/(8*x^2+1-8*x) lgdogf] A080609 3.93997 [{(-n-3)*a(n+3)+(20+8*n)*a(n+2)+(-16-8*n)*a(n+1),a(0)=1,a(1)=4,a(2)=20} ogf] A080609 9.5685 [-8*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A080610 10.7505 [-2*(-2-5*x+8*x^3+24*x^4-10*x^2)/(x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) lgdogf] A080610 13.7881 [x*(4*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A080610 7.16442 [-(48*x^4+16*x^3-20*x^2-10*x-4)/(16*x^5+4*x^4-20*x^3-5*x^2+4*x+1) lgdogf] A080610 7.69232 [-(63*f(x)+23)*(4*f(x)*x^4-5*f(x)*x^2-4*x^2+f(x)-x) ogf] A080612 15.9062 [-(x^7-x^5-1)/(x-1)^2 ogf] A080612 19.7677 [(2-7*x^6+5*x^7-3*x^5+5*x^4)/(x-1)/(x^7-x^5-1) lgdogf] A080612 5.56229 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=7,a(6)=9,a(7)=10} ogf] A080612 9.06654 [-(5*x^7-7*x^6-3*x^5+5*x^4+2)/(-x^8+x^7+x^6-x^5+x-1) lgdogf] A080616 2.76332 [(2*f(x)*x-f(x)+x+1)^3 ogf] A080643 11.4034 [-(-24*x^2+24*x-5)/(-24*x^3+26*x^2-9*x+1) lgdogf] A080643 15.5086 [-2*x*(2*x-1)/(4*x-1)/(3*x-1) ogf] A080643 19.1413 [-(5-24*x+24*x^2)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A080643 19.1413 [-1/8*(-2-7*x+(4+12*x+x^2)^(1/2))/(1+3*x) revogf] A080643 7.52843 [{a(n+3)-7*a(n+2)+12*a(n+1),a(0)=0,a(1)=2,a(2)=10} ogf] A080643 9.01659 [-f(x)*(12*f(x)*x^2-7*f(x)*x+4*x^2+f(x)-2*x) ogf] A080646 5.18796 [(3*x^34-2*x^33+3*x^32-3*x^28+3*x^26-2*x^25+3*x^24-3*x^20+3*x^12-3*x^4+3*x^2-2*x+3)/(x^32+x^24+1)/(x-1)^2 ogf] A080652 5.23019 [(x^21-x^20+3*x^11+2*x^10+2*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+2*x^2+3*x+2)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A080663 12.6759 [-(-x^2+8*x+11)/(-x^3+6*x^2-3*x-2) lgdogf] A080663 13.5071 [(x^2-5*x-2)/(x-1)^3 ogf] A080663 25.2666 [-(-11-8*x+x^2)/(x-1)/(x^2-5*x-2) lgdogf] A080663 7.10286 [(724*f(x)-3833)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+5*x+2) ogf] A080663 7.22747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=11,a(2)=26} ogf] A080674 13.1981 [-4*f(x)*x^2+5*f(x)*x-f(x)+4*x ogf] A080674 16.2226 [-(8*x-5)/(4*x^2-5*x+1) lgdogf] A080674 18.7539 [-1/8*(-4-5*x+(4+x)^(1/2)*(4+9*x)^(1/2))/x revogf] A080674 21.0456 [4*x/(x-1)/(4*x-1) ogf] A080674 33.4309 [-(-5+8*x)/(4*x-1)/(x-1) lgdogf] A080674 9.61341 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=0,a(1)=4} ogf] A080675 11.7187 [-(4*x^2+8*x-6)/(4*x^3-x^2-4*x+1) lgdogf] A080675 16.6666 [2*(x+1)/(x-1)/(4*x-1) ogf] A080675 17.1424 [-1/4*(-2-5*x+(4+28*x+9*x^2)^(1/2))/(-1+2*x) revogf] A080675 19.3980 [-2*(-3+4*x+2*x^2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A080675 8.42694 [(133*f(x)+382)*(4*f(x)*x^2-5*f(x)*x+f(x)-2*x-2) ogf] A080675 9.03613 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=2,a(1)=12} ogf] A080679 6.69192 [-x^4*(x^11+x^10+x^9+x^8+x^6+x^4+x^3+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A080687 6.16189 [-f(x)^2*x^2+2*f(x)^2*x-2*f(x)^2-4*f(x)*x+6*f(x)-4 egf] A080687 9.00279 [-(1-5*x+4*x^2+(-(-1+4*x)*(x+1)^2)^(1/2))/(-1+4*x)/(x^2-2*x+2) lgdegf] A080706 5.73227 [-(x^12-5*x^11-5*x^10-7*x^9-5*x^8-5*x^7-2*x^6-5*x^5-5*x^4-2*x^3-5*x^2-5*x-3)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A080709 8.79951 [-(20*x^7+42*x^6+145*x^5+89*x^4+58*x^3+37*x^2+16*x+4)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A080724 5.90990 [(2*x^29-2*x^23+2*x^21-x^19+2*x^18-2*x^17+2*x^11-2*x^5+2*x^3-x+2)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1)/(x-1)^2 ogf] A080726 5.67630 [x*(2*x^29-2*x^23+2*x^21-2*x^19+3*x^18-2*x^17+2*x^11-2*x^5+2*x^3-2*x+3)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1)/(x-1)^2 ogf] A080727 4.43155 [(2*x^33-2*x^30+2*x^29-3*x^27+2*x^24-2*x^21+2*x^20+3*x^18-2*x^9+2*x^6-2*x^3+2*x^2+1)/(x^27+x^18+1)/(x-1)^2 ogf] A080734 8.50665 [(2*x^7+3*x^6+3*x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A080770 11.9211 [-2*(-43+58*x+8*x^3-35*x^2)/(x-1)/(24*x^4-80*x^3+85*x^2-18*x-17) lgdogf] A080770 4.72645 [(374436*f(x)+18516925)*(f(x)*x^4-4*f(x)*x^3+24*x^4+6*f(x)*x^2-80*x^3-4*f(x)*x+85*x^2+f(x)-18*x-17) ogf] A080770 7.58103 [-(-16*x^3+70*x^2-116*x+86)/(-24*x^5+104*x^4-165*x^3+103*x^2-x-17) lgdogf] A080770 8.50760 [-(24*x^4-80*x^3+85*x^2-18*x-17)/(x-1)^4 ogf] A080775 17.7578 [-24*f(x)*x+f(x)-1 egf] A080775 24.8609 [24/(-24*x+1) lgdegf] A080775 33.9012 [-1/(24*x-1) egf] A080775 56.5182 [-24/(-1+24*x) lgdegf] A080775 8.19590 [{(-24*n-48)*a(n+1)+a(n+2),a(0)=1,a(1)=24} ogf] A080782 12.3341 [(x^3-x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A080782 14.3814 [-(3+x+x^5-x^4+6*x^3+8*x^2)/(x-1)/(x^2+x+1)/(x^3-x^2+2*x+1) lgdogf] A080782 5.18937 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=1,a(1)=3,a(2)=2,a(3)=4} ogf] A080782 6.86335 [-(6*f(x)+19)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+x^2+f(x)-2*x-1) ogf] A080806 5.84109 [-(1320*f(x)-397)*(f(x)*x^4-10*f(x)*x^2+x^3+3*x^2+f(x)-3*x-1) ogf] A080806 9.20767 [-(3+14*x+x^4-4*x^3+6*x^5+x^6+27*x^2)/(x-1)/(x^2+4*x+1)/(x^4-10*x^2+1) lgdogf] A080806 9.82367 [-(x-1)*(x^2+4*x+1)/(x^4-10*x^2+1) ogf] A080827 10.5209 [-(x^4+4*x^2+4*x+3)/(x^5-x^4+2*x^2-x-1) lgdogf] A080827 12.1982 [-(x^3-x^2+x+1)/(x+1)/(x-1)^3 ogf] A080827 18.7663 [-(3+4*x+x^4+4*x^2)/(x-1)/(x+1)/(x^3-x^2+x+1) lgdogf] A080827 7.0729 [(2*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)+x+1) ogf] A080833 10.9245 [-(x^2+1)/(-x^4-2*x^3+x^2+2*x-1) lgdegf] A080833 38.4571 [(1+x^2)/(x^2+x-1)^2 lgdegf] A080834 16.5031 [-(-2-x+2*x^3+2*x^2)/(x^2+x-1)^2 lgdegf] A080834 6.53946 [-(-2*x^3-2*x^2+x+2)/(-x^4-2*x^3+x^2+2*x-1) lgdegf] A080835 15.2401 [(x+1)*(2*x^2-x+1)/(x^3+x^2+x-1)^2 lgdegf] A080835 6.12483 [-(2*x^3+x^2+1)/(-x^6-2*x^5-3*x^4+x^2+2*x-1) lgdegf] A080836 6.29658 [-(3*x^4+2*x^3+x^2+1)/(-x^8-2*x^7-3*x^6-4*x^5-x^4+x^2+2*x-1) lgdegf] A080838 11.9651 [-(-5*x^2-14*x-5)/(-x^3-2*x^2+x+2) lgdogf] A080838 23.4509 [-(5+14*x+5*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A080838 4.52169 [{(n^2+7*n+12)*a(n+1)+(8+2*n)*a(n+2)+(-n^2-3*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A080838 9.14976 [x^3*(x+2)/(x+1)^2/(x-1)^4 ogf] A080855 13.1806 [-(7*x^2+x+1)/(x-1)^3 ogf] A080855 13.1806 [-(-7*x^2-16*x-4)/(-7*x^3+6*x^2+1) lgdogf] A080855 24.6469 [-(x+2)*(7*x+2)/(x-1)/(7*x^2+x+1) lgdogf] A080855 6.93116 [-(5*f(x)-13)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+x+1) ogf] A080855 7.11517 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A080856 11.8534 [-(-13*x^2-30*x-5)/(-13*x^3+11*x^2+x+1) lgdogf] A080856 13.0005 [-(13*x^2+2*x+1)/(x-1)^3 ogf] A080856 21.3756 [-(5+30*x+13*x^2)/(x-1)/(13*x^2+2*x+1) lgdogf] A080856 6.83078 [-(13*f(x)-63)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+2*x+1) ogf] A080856 7.13303 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A080857 11.1407 [-(-21*x^2-48*x-6)/(-21*x^3+18*x^2+2*x+1) lgdogf] A080857 12.2188 [-(21*x^2+3*x+1)/(x-1)^3 ogf] A080857 19.5451 [-3*(2+16*x+7*x^2)/(x-1)/(21*x^2+3*x+1) lgdogf] A080857 6.47495 [-(4*f(x)-31)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+3*x+1) ogf] A080857 6.70414 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=36} ogf] A080859 11.9259 [-(3*x^2+22*x+11)/(3*x^3+5*x^2-7*x-1) lgdogf] A080859 12.9035 [-(3*x^2+8*x+1)/(x-1)^3 ogf] A080859 21.4437 [-(11+22*x+3*x^2)/(x-1)/(3*x^2+8*x+1) lgdogf] A080859 6.78544 [(243*f(x)-1211)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+8*x+1) ogf] A080859 6.90449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=33} ogf] A080860 12.0695 [-(6*x^2+38*x+16)/(6*x^3+7*x^2-12*x-1) lgdogf] A080860 13.0429 [-(6*x^2+13*x+1)/(x-1)^3 ogf] A080860 20.8846 [-2*(8+19*x+3*x^2)/(x-1)/(6*x^2+13*x+1) lgdogf] A080860 6.79545 [(9712*f(x)-76863)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+13*x+1) ogf] A080860 7.09349 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=51} ogf] A080861 10.9597 [-(10*x^2+58*x+22)/(10*x^3+9*x^2-18*x-1) lgdogf] A080861 12.0035 [-(10*x^2+19*x+1)/(x-1)^3 ogf] A080861 18.5366 [-2*(11+29*x+5*x^2)/(x-1)/(10*x^2+19*x+1) lgdogf] A080861 6.09855 [(216100*f(x)-2492893)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+19*x+1) ogf] A080861 6.63351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=22,a(2)=73} ogf] A080863 6.97844 [(5*x^8+2*x^7+28*x^6+30*x^5+30*x^4+30*x^3+30*x^2+30*x+25)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A080864 6.97844 [(3*x^8+2*x^7+28*x^6+30*x^5+30*x^4+30*x^3+30*x^2+30*x+27)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A080871 5.82875 [-(142*f(x)-61)*(f(x)*x^4-8*f(x)*x^2+x^3+4*x^2+f(x)-x-1) ogf] A080871 9.68469 [-(x^3+4*x^2-x-1)/(x^4-8*x^2+1) ogf] A080871 9.94068 [-(x^4+6*x^3-8*x^2+6*x+1)*(x+1)^2/(x^3+4*x^2-x-1)/(x^4-8*x^2+1) lgdogf] A080872 10.1450 [-(x^4+8*x^3-10*x^2+8*x+1)*(x+1)^2/(x^3+5*x^2-x-1)/(x^4-10*x^2+1) lgdogf] A080872 13.5799 [-(x^3+5*x^2-x-1)/(x^4-10*x^2+1) ogf] A080872 8.22267 [-(109*f(x)-48)*(f(x)*x^4-10*f(x)*x^2+x^3+5*x^2+f(x)-x-1) ogf] A080873 10.0373 [-(3*x^3+8*x^2-x-1)/(x^4-10*x^2+1) ogf] A080873 6.07764 [-(262*f(x)-77)*(f(x)*x^4-10*f(x)*x^2+3*x^3+8*x^2+f(x)-x-1) ogf] A080873 9.14480 [-(1+4*x+16*x^5+27*x^4-4*x^3+3*x^6+x^2)/(3*x^3+8*x^2-x-1)/(x^4-10*x^2+1) lgdogf] A080874 10.0373 [-(2*x^3+7*x^2-x-1)/(x^4-10*x^2+1) ogf] A080874 6.02239 [-(458*f(x)-211)*(f(x)*x^4-10*f(x)*x^2+2*x^3+7*x^2+f(x)-x-1) ogf] A080874 8.89425 [-(1+6*x+14*x^5+17*x^4-4*x^3+2*x^6+4*x^2)/(2*x^3+7*x^2-x-1)/(x^4-10*x^2+1) lgdogf] A080875 5.67693 [-(310*f(x)-139)*(f(x)*x^4-12*f(x)*x^2+x^3+6*x^2+f(x)-x-1) ogf] A080875 9.26647 [-(x^4+10*x^3-12*x^2+10*x+1)*(x+1)^2/(x^3+6*x^2-x-1)/(x^4-12*x^2+1) lgdogf] A080875 9.46156 [-(x^3+6*x^2-x-1)/(x^4-12*x^2+1) ogf] A080876 10.1019 [-(6*x^3+7*x^2-x-1)/(2*x^2+2*x-1)/(2*x^2-2*x-1) ogf] A080876 6.19457 [{a(n+4)-8*a(n+2)+4*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A080876 6.50121 [(4*f(x)-1)*(4*f(x)*x^4-8*f(x)*x^2+6*x^3+7*x^2+f(x)-x-1) ogf] A080876 7.22645 [-(1+2*x-10*x^2-16*x^3+36*x^4+56*x^5+24*x^6)/(2*x^2+2*x-1)/(2*x^2-2*x-1)/(6*x^3+7*x^2-x-1) lgdogf] A080877 10.6190 [-(3*x^3+4*x^2-x-1)/(4*x^4-6*x^2+1) ogf] A080877 6.45076 [-(64*f(x)-29)*(4*f(x)*x^4-6*f(x)*x^2+3*x^3+4*x^2+f(x)-x-1) ogf] A080877 9.01995 [-(1+4*x+32*x^5+6*x^4-16*x^3+12*x^6-3*x^2)/(3*x^3+4*x^2-x-1)/(4*x^4-6*x^2+1) lgdogf] A080878 10.9359 [-(2*x+1)*(x^2+x-1)/(4*x^4-6*x^2+1) ogf] A080878 11.2435 [-(1+6*x+8*x^6+24*x^5-16*x^3)/(2*x+1)/(x^2+x-1)/(4*x^4-6*x^2+1) lgdogf] A080878 6.64332 [-(44*f(x)-17)*(4*f(x)*x^4-6*f(x)*x^2+2*x^3+3*x^2+f(x)-x-1) ogf] A080879 7.14251 [-(1136*f(x)-279)*(4*f(x)*x^4-8*f(x)*x^2+x^3+2*x^2+f(x)-x-1) ogf] A080879 7.21207 [-(1+12*x+4*x^6+5*x^2-16*x^3-4*x^4+16*x^5)/(2*x^2+2*x-1)/(2*x^2-2*x-1)/(x^3+2*x^2-x-1) lgdogf] A080879 9.63400 [-(x^3+2*x^2-x-1)/(2*x^2+2*x-1)/(2*x^2-2*x-1) ogf] A080880 11.5014 [-(5*x^3+3*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A080880 7.25814 [(56*f(x)-43)*(4*f(x)*x^4-5*f(x)*x^2+5*x^3+3*x^2+f(x)-2*x-1) ogf] A080880 8.43084 [-(2+4*x-16*x^3+x^4+24*x^5+20*x^6-5*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(5*x^3+3*x^2-2*x-1) lgdogf] A080881 5.66177 [-(8584*f(x)-1215)*(4*f(x)*x^4-11*f(x)*x^2+x^3+x^2+f(x)-2*x-1) ogf] A080881 8.74991 [-(x+1)*(4*x^5+4*x^4-17*x^3+x^2+18*x+2)/(x^3+x^2-2*x-1)/(4*x^4-11*x^2+1) lgdogf] A080881 9.60786 [-(x^3+x^2-2*x-1)/(4*x^4-11*x^2+1) ogf] A080882 6.12528 [(1060*f(x)-283)*(4*f(x)*x^4-8*f(x)*x^2+2*x^3+x^2+f(x)-3*x-1) ogf] A080882 7.22838 [-(3+14*x+18*x^2-16*x^3-20*x^4+8*x^5+8*x^6)/(2*x^2+2*x-1)/(2*x^2-2*x-1)/(2*x^3+x^2-3*x-1) lgdogf] A080882 9.98892 [-(2*x^3+x^2-3*x-1)/(2*x^2+2*x-1)/(2*x^2-2*x-1) ogf] A080889 4.93197 [-(x^13-x^5+1)/(x^16-x^15+2*x^14+x^13-x^10-2*x^8+x^7-2*x^6+2*x^5+x^3-x^2+2*x-1) ogf] A080891 13.0643 [-x*(x-1)*(x+1)/(x^4+x^3+x^2+x+1) ogf] A080891 18.2335 [-(-1-4*x+2*x^5-4*x^2-4*x^3+x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A080891 29.2190 [[x^4-x-1] ogf_with_Euler_transform] A080891 8.24449 [-f(x)*x^4-f(x)*x^3-f(x)*x^2-x^3-f(x)*x-f(x)+x ogf] A080891 9.64980 [-(-2*x^5-x^4+4*x^3+4*x^2+4*x+1)/(-x^6-x^5+x+1) lgdogf] A080893 20.3358 [1/(1-4*x)^(1/2) lgdegf] A080893 32.8142 [-1+(1-4*x)*f(x)^2 lgdegf] A080894 11.4358 [1+(-1+2*x+3*x^2)*f(x)+(3*x^4-x^2+2*x^3)*f(x)^2 lgdegf] A080894 6.25127 [-1/2*I/(3*x-1)^(1/2)*(x-1)/(x+1)^(1/2)/x^2-1/2/x^2 lgdegf] A080895 12.2072 [1/(-3*x^2-2*x+1)^(1/2)/(x+1) lgdegf] A080895 18.5215 [-1+(1-6*x^2-8*x^3-3*x^4)*f(x)^2 lgdegf] A080896 6.06978 [(n+4)*a(n+4)+(-11-3*n)*a(n+3)+(-10-n)*a(n+2)+(9+3*n)*a(n+1),a(0)=1,a(1)=2,a(2)=9,a(3)=28 lgdegf] A080907 8.94213 [(2+4*x^6-9*x^5+5*x^4+47*x^24-45*x^23+23*x^22+24*x^26-49*x^25)/(x-1)/(x^26-x^25+x^24-x^23+x^6-x^5-1) lgdogf] A080907 9.70298 [-(x^26-x^25+x^24-x^23+x^6-x^5-1)/(x-1)^2 ogf] A080920 11.5692 [-(-70*x-2)/(-35*x^2-2*x+1) lgdogf] A080920 15.2226 [-x/(5*x+1)/(7*x-1) ogf] A080920 15.3872 [1/70/x*(-2*x-1+(144*x^2+4*x+1)^(1/2)) revogf] A080920 21.0861 [-2*(1+35*x)/(5*x+1)/(7*x-1) lgdogf] A080920 7.05438 [{-a(n+2)+2*a(n+1)+35*a(n),a(0)=0,a(1)=1} ogf] A080920 9.64099 [-35*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A080921 10.3006 [-48*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A080921 12.3608 [-(-96*x-2)/(-48*x^2-2*x+1) lgdogf] A080921 16.2642 [-x/(6*x+1)/(8*x-1) ogf] A080921 16.4569 [1/96/x*(-2*x-1+(196*x^2+4*x+1)^(1/2)) revogf] A080921 22.5520 [-2*(1+48*x)/(6*x+1)/(8*x-1) lgdogf] A080921 7.53705 [{-a(n+2)+2*a(n+1)+48*a(n),a(0)=0,a(1)=1} ogf] A080923 15.5753 [(x-1)*(x+1)/(3*x-1) ogf] A080923 18.9562 [(3-2*x+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A080923 7.60224 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=8} ogf] A080923 8.99418 [(7*f(x)+2)*(3*f(x)*x-x^2-f(x)+1) ogf] A080923 9.97794 [-(3*x^2-2*x+3)/(-3*x^3+x^2+3*x-1) lgdogf] A080924 10.0327 [-(32*x^3+28*x^2+8*x+3)/(16*x^4+20*x^3-5*x-1) lgdogf] A080924 13.3769 [-x*(4*x+1)/(2*x+1)/(2*x-1)/(x+1) ogf] A080924 14.4475 [-(3+8*x+32*x^3+28*x^2)/(4*x+1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A080924 6.86923 [-(3*f(x)+1)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x+4*x^2-f(x)+x) ogf] A080924 6.86923 [{-a(n+3)-a(n+2)+4*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A080925 10.4540 [-(9*x^2+6*x+5)/(9*x^3+9*x^2-x-1) lgdogf] A080925 13.6542 [-x*(3*x+1)/(x+1)/(3*x-1) ogf] A080925 16.4792 [1/6*(-2*x-1+(16*x^2+16*x+1)^(1/2))/(1+x) revogf] A080925 18.3102 [-(5+6*x+9*x^2)/(3*x-1)/(3*x+1)/(x+1) lgdogf] A080925 6.62432 [{a(n+3)-2*a(n+2)-3*a(n+1),a(0)=0,a(1)=1,a(2)=5} ogf] A080925 7.87123 [-f(x)*(3*f(x)*x^2+2*f(x)*x+3*x^2-f(x)+x) ogf] A080926 11.0318 [x*(3*x+1)/(x-1)/(3*x-1)/(x+1) ogf] A080926 12.3808 [-2*(-3-x+3*x^2+9*x^3)/(x-1)/(-1+3*x)/(3*x+1)/(x+1) lgdogf] A080926 5.46794 [-(332*f(x)-765)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x-3*x^2+f(x)-x) ogf] A080926 5.66498 [{-a(n+3)+3*a(n+2)+a(n+1)-3*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A080926 8.98304 [-(18*x^3+6*x^2-2*x-6)/(9*x^4-10*x^2+1) lgdogf] A080929 12.5883 [-3/(-8*x^4+16*x^3-12*x^2+5*x-1) lgdogf] A080929 22.9807 [3/(x-1)/(2*x-1)/(4*x^2-2*x+1) lgdogf] A080929 5.03533 [{a(n+4)-6*a(n+3)+12*a(n+2)-8*a(n+1),a(0)=1,a(1)=3,a(2)=12,a(3)=40} ogf] A080929 5.66475 [(f(x)-1)*(8*f(x)*x^3-12*f(x)*x^2-4*x^3+6*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A080929 9.71099 [(x-1)*(4*x^2-2*x+1)/(2*x-1)^3 ogf] A080930 12.9249 [-(-5+10*x+4*x^3-10*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A080930 18.3102 [1/2*(-1+(1+8*x)^(1/4))/(1+8*x)^(1/4) revogf] A080930 4.76844 [(16*f(x)+9)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+2*x^3-8*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A080930 6.40334 [{(2*n+12)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=5} ogf] A080930 8.00418 [-(-4*x^3+10*x^2-10*x+5)/(-4*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A080930 8.40439 [-(x-1)*(2*x^2-2*x+1)/(2*x-1)^4 ogf] A080937 12.6964 [-(3*x-1)*(x-1)/(x^3-6*x^2+5*x-1) ogf] A080937 12.8985 [-(1-6*x+3*x^4-8*x^3+12*x^2)/(x-1)/(3*x-1)/(x^3-6*x^2+5*x-1) lgdogf] A080937 6.91499 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A080937 7.74479 [-(-3*x^4+8*x^3-12*x^2+6*x-1)/(-3*x^5+22*x^4-40*x^3+29*x^2-9*x+1) lgdogf] A080937 8.702 [f(x)*x^3-6*f(x)*x^2+5*f(x)*x+3*x^2-f(x)-4*x+1 ogf] A080938 6.24082 [-f(x)*x^4+10*f(x)*x^3-15*f(x)*x^2-4*x^3+7*f(x)*x+10*x^2-f(x)-6*x+1 ogf] A080938 7.48045 [-(1-10*x+4*x^6-20*x^5+38*x^2-68*x^3+58*x^4)/(x-1)/(2*x-1)/(2*x^2-4*x+1)/(x^3-9*x^2+6*x-1) lgdogf] A080938 8.48679 [-(2*x-1)*(2*x^2-4*x+1)/(x-1)/(x^3-9*x^2+6*x-1) ogf] A080951 13.8054 [5/(x-1)/(-1+2*x)/(16*x^4-24*x^3+16*x^2-4*x+1) lgdogf] A080951 5.76472 [(x-1)*(16*x^4-24*x^3+16*x^2-4*x+1)/(2*x-1)^5 ogf] A080951 6.53731 [{(-2*n-10)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=5} ogf] A080951 8.56918 [-5/(-32*x^6+96*x^5-120*x^4+80*x^3-30*x^2+7*x-1) lgdogf] A080952 17.3027 [1/2*(-1+(1+4*x)^(1/6))/(1+4*x)^(1/6) revogf] A080952 5.16756 [-(x-1)*(4*x^2-2*x+1)*(4*x^2-6*x+3)/(2*x-1)^6 ogf] A080952 5.99632 [{(2*n+16)*a(n+1)+(-n-3)*a(n+2),a(0)=3,a(1)=21} ogf] A080952 7.41545 [-(-21+70*x-112*x^4+168*x^3+32*x^5-140*x^2)/(x-1)/(2*x-1)/(4*x^2-2*x+1)/(4*x^2-6*x+3) lgdogf] A080954 13.6916 [-(-6+5*x)/(-x+1) lgdegf] A080954 31.5228 [-6+5*x+(1-x)*f(x) lgdegf] A080954 4.02696 [{(-5*n-10)*a(n+1)+(n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=37} ogf] A080956 15.4291 [(2*x-1)/(x-1)^3 ogf] A080956 17.0363 [-(-4*x+1)/(-2*x^2+3*x-1) lgdogf] A080956 43.8788 [-(-1+4*x)/(2*x-1)/(x-1) lgdogf] A080956 7.36704 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A080956 7.93924 [(2*f(x)+3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-2*x+1) ogf] A080957 11.3926 [-(-12*x^2+15*x-11)/(-6*x^3+15*x^2-14*x+5) lgdogf] A080957 11.3926 [(6*x^2-9*x+5)/(x-1)^4 ogf] A080957 20.8391 [-(11-15*x+12*x^2)/(x-1)/(6*x^2-9*x+5) lgdogf] A080957 3.83459 [{(-5*n-20)*a(n+4)+(53+14*n)*a(n+3)+(-45-15*n)*a(n+2)+(18+6*n)*a(n+1),a(0)=5,a(1)=11,a(2)=20,a(3)=34} ogf] A080957 5.91046 [(128*f(x)-409)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)+9*x-5) ogf] A080960 13.9355 [(x+1)/(4*x-1)/(2*x-1) ogf] A080960 14.2920 [-1/2*(-1-6*x+(1+16*x+4*x^2)^(1/2))/(-1+8*x) revogf] A080960 16.1725 [-(-7+16*x+8*x^2)/(4*x-1)/(2*x-1)/(x+1) lgdogf] A080960 7.20803 [(26*f(x)+23)*(8*f(x)*x^2-6*f(x)*x+f(x)-x-1) ogf] A080960 7.64754 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=7} ogf] A080960 9.64766 [-(8*x^2+16*x-7)/(8*x^3+2*x^2-5*x+1) lgdogf] A080961 12.5752 [(x+1)/(5*x-1)/(3*x-1) ogf] A080961 12.8700 [-1/2*(-1-8*x+(1+20*x+4*x^2)^(1/2))/(-1+15*x) revogf] A080961 14.1570 [-3*(-3+10*x+5*x^2)/(3*x-1)/(5*x-1)/(x+1) lgdogf] A080961 6.5734 [(14*f(x)+13)*(15*f(x)*x^2-8*f(x)*x+f(x)-x-1) ogf] A080961 6.96939 [{-a(n+2)+8*a(n+1)-15*a(n),a(0)=1,a(1)=9} ogf] A080961 8.63372 [-(15*x^2+30*x-9)/(15*x^3+7*x^2-7*x+1) lgdogf] A080962 12.1104 [(x+1)/(6*x-1)/(4*x-1) ogf] A080962 12.3824 [-1/2*(-1-10*x+(1+24*x+4*x^2)^(1/2))/(-1+24*x) revogf] A080962 13.9301 [-(-11+48*x+24*x^2)/(6*x-1)/(4*x-1)/(x+1) lgdogf] A080962 6.39538 [(62*f(x)+59)*(24*f(x)*x^2-10*f(x)*x+f(x)-x-1) ogf] A080962 6.69634 [{-a(n+2)+10*a(n+1)-24*a(n),a(0)=1,a(1)=11} ogf] A080962 8.24912 [-(24*x^2+48*x-11)/(24*x^3+14*x^2-9*x+1) lgdogf] A080963 4.90668 [-(-3*x^15+2*x^14-x^13+2*x^12-4*x^11+2*x^10-x^9+2*x^8-4*x^7+2*x^6-x^5+2*x^4-4*x^3+2*x^2-x+2)/(x^16-1) ogf_with_Euler_transform] A080964 4.52766 [-(3*x^15-2*x^14+3*x^13-2*x^12-x^11-2*x^10+3*x^9-2*x^8+6*x^7-2*x^6+3*x^5-2*x^4-x^3-2*x^2+3*x-2)/(-x^16+1) ogf_with_Euler_transform] A080965 13.0100 [-(-3*x^3+4*x^2-8*x+4)/(x^4-1) ogf_with_Euler_transform] A080965 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(3/4)*2^(7/8)/GAMMA(3/4)^3 A080966 15.6117 [-(-3*x^3+2*x^2-4*x+2)/(x^4-1) ogf_with_Euler_transform] A080966 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(3/4)*2^(5/8)/GAMMA(3/4)^3 A080995 7.53960 [-(x^4+x+1)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A081002 10.1817 [(2*x^2+4*x-1)/(x-1)/(x^2-7*x+1) ogf] A081002 5.17569 [-(1745*f(x)+687)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-2*x^2-f(x)-4*x+1) ogf] A081002 5.49630 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=22} ogf] A081002 9.98203 [-(-4+20*x+2*x^4+8*x^3-51*x^2)/(x-1)/(x^2-7*x+1)/(2*x^2+4*x-1) lgdogf] A081003 11.1178 [-(6-26*x+62*x^2-20*x^3+3*x^4)/(x-1)/(x^2-7*x+1)/(3*x^2-10*x+2) lgdogf] A081003 11.3172 [-(3*x^2-10*x+2)/(x-1)/(x^2-7*x+1) ogf] A081003 5.7989 [(165120*f(x)+13261)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+3*x^2-f(x)-10*x+2) ogf] A081003 6.20943 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=2,a(1)=6,a(2)=35} ogf] A081003 6.74679 [-(-3*x^4+20*x^3-62*x^2+26*x-6)/(-3*x^5+34*x^4-106*x^3+99*x^2-26*x+2) lgdogf] A081004 13.4139 [(7*x-2)/(x-1)/(x^2-7*x+1) ogf] A081004 13.6975 [-(-9+32*x-62*x^2+14*x^3)/(7*x-2)/(-1+x)/(x^2-7*x+1) lgdogf] A081004 6.07641 [-(432945*f(x)+117778)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)-7*x+2) ogf] A081004 6.29150 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=2,a(1)=9,a(2)=56} ogf] A081004 8.26673 [-(14*x^3-62*x^2+32*x-9)/(7*x^4-58*x^3+72*x^2-23*x+2) lgdogf] A081005 11.2847 [-(14-44*x+73*x^2-20*x^3+2*x^4)/(x-1)/(x^2-7*x+1)/(2*x^2-10*x+3) lgdogf] A081005 11.6662 [-(2*x^2-10*x+3)/(x-1)/(x^2-7*x+1) ogf] A081005 5.97772 [(141765*f(x)+23938)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+2*x^2-f(x)-10*x+3) ogf] A081005 6.34476 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=3,a(1)=14,a(2)=90} ogf] A081005 6.88860 [-(-2*x^4+20*x^3-73*x^2+44*x-14)/(-2*x^5+26*x^4-99*x^3+106*x^2-34*x+3) lgdogf] A081006 11.0301 [(x^2-4*x-2)/(x-1)/(x^2-7*x+1) ogf] A081006 11.3907 [-(-20+34*x+x^4-8*x^3+18*x^2)/(x-1)/(x^2-7*x+1)/(x^2-4*x-2) lgdogf] A081006 5.51508 [-(47140*f(x)-3641)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+4*x+2) ogf] A081006 5.85077 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=2,a(1)=20,a(2)=143} ogf] A081006 6.53242 [-(x^4-8*x^3+18*x^2+34*x-20)/(x^5-12*x^4+38*x^3-17*x^2-12*x+2) lgdogf] A081007 12.2557 [-x*(x+4)/(x-1)/(x^2-7*x+1) ogf] A081007 14.9848 [-(33-64*x+4*x^2+2*x^3)/(x+4)/(x-1)/(x^2-7*x+1) lgdogf] A081007 6.0222 [(165120*f(x)-46529)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+x^2-f(x)+4*x) ogf] A081007 6.23728 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=33} ogf] A081007 8.31637 [-(-2*x^3-4*x^2+64*x-33)/(-x^4+4*x^3+24*x^2-31*x+4) lgdogf] A081008 12.4184 [x*(2*x-7)/(x-1)/(x^2-7*x+1) ogf] A081008 13.4341 [-(-54+112*x-37*x^2+4*x^3)/(-1+x)/(2*x-7)/(x^2-7*x+1) lgdogf] A081008 6.32007 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=7,a(2)=54} ogf] A081008 6.87232 [-f(x)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-2*x^2-f(x)+7*x) ogf] A081008 8.13618 [-(4*x^3-37*x^2+112*x-54)/(2*x^4-23*x^3+72*x^2-58*x+7) lgdogf] A081009 12.3504 [-(4*x+1)/(x-1)/(x^2-7*x+1) ogf] A081009 13.1101 [-(12-16*x-29*x^2+8*x^3)/(x-1)/(4*x+1)/(x^2-7*x+1) lgdogf] A081009 5.74186 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=88} ogf] A081009 5.8444 [(141765*f(x)-24917)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)+4*x+1) ogf] A081009 7.70085 [-(-8*x^3+29*x^2+16*x-12)/(-4*x^4+31*x^3-24*x^2-4*x+1) lgdogf] A081010 10.9413 [-(7-40*x+113*x^2-34*x^3+4*x^4)/(x-1)/(x^2-7*x+1)/(4*x^2-17*x+3) lgdogf] A081010 11.3172 [-(4*x^2-17*x+3)/(x-1)/(x^2-7*x+1) ogf] A081010 5.75137 [(661695*f(x)+162661)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+4*x^2-f(x)-17*x+3) ogf] A081010 6.20943 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=3,a(1)=7,a(2)=36} ogf] A081010 6.61949 [-(-4*x^4+34*x^3-113*x^2+40*x-7)/(-4*x^5+49*x^4-171*x^3+164*x^2-41*x+3) lgdogf] A081011 4.75935 [(4537695*f(x)+1538219)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+3*x^2-f(x)-17*x+4) ogf] A081011 5.17683 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=4,a(1)=15,a(2)=91} ogf] A081011 9.03400 [-(15-58*x+124*x^2-34*x^3+3*x^4)/(x-1)/(x^2-7*x+1)/(3*x^2-17*x+4) lgdogf] A081011 9.51869 [-(3*x^2-17*x+4)/(x-1)/(x^2-7*x+1) ogf] A081012 10.1167 [(x^2-8*x-3)/(x-1)/(x^2-7*x+1) ogf] A081012 10.2566 [-(-32+50*x+47*x^2-16*x^3+x^4)/(x-1)/(x^2-7*x+1)/(x^2-8*x-3) lgdogf] A081012 4.97678 [(31104195*f(x)-7804624)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+8*x+3) ogf] A081012 5.36626 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=3,a(1)=32,a(2)=231} ogf] A081013 10.1235 [x*(x-11)/(x-1)/(x^2-7*x+1) ogf] A081013 11.5635 [-(-87+176*x-41*x^2+2*x^3)/(x-11)/(x-1)/(x^2-7*x+1) lgdogf] A081013 4.89303 [(4537695*f(x)-1569061)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+11*x) ogf] A081013 5.19613 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=87} ogf] A081013 6.67231 [-(2*x^3-41*x^2+176*x-87)/(x^4-19*x^3+96*x^2-89*x+11) lgdogf] A081014 4.91799 [-(1308*f(x)+667)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-3*x^2-f(x)-4*x+2) ogf] A081014 5.17683 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=2,a(1)=12,a(2)=77} ogf] A081014 9.32542 [-(-12+38*x-62*x^2+8*x^3+3*x^4)/(x-1)/(x^2-7*x+1)/(3*x^2+4*x-2) lgdogf] A081014 9.67474 [(3*x^2+4*x-2)/(x-1)/(x^2-7*x+1) ogf] A081015 11.3172 [5*(2*x-1)/(x-1)/(x^2-7*x+1) ogf] A081015 12.2275 [-(-6+16*x+4*x^3-19*x^2)/(x-1)/(2*x-1)/(x^2-7*x+1) lgdogf] A081015 5.31417 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=5,a(1)=30,a(2)=200} ogf] A081015 6.70646 [-(453*f(x)+167)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)-10*x+5) ogf] A081015 7.18975 [-(4*x^3-19*x^2+16*x-6)/(2*x^4-17*x^3+24*x^2-10*x+1) lgdogf] A081016 10.7394 [(2*x-1)/(x-1)/(x^2-7*x+1) ogf] A081016 11.1441 [-(-6+16*x-19*x^2+4*x^3)/(x-1)/(-1+2*x)/(x^2-7*x+1) lgdogf] A081016 5.03707 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=40} ogf] A081016 5.08205 [-(2265*f(x)+167)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)-2*x+1) ogf] A081016 6.69634 [-(4*x^3-19*x^2+16*x-6)/(2*x^4-17*x^3+24*x^2-10*x+1) lgdogf] A081017 10.1235 [5*x*(x-2)/(x-1)/(x^2-7*x+1) ogf] A081017 12.0453 [-(-15+32*x-14*x^2+2*x^3)/(x-2)/(x-1)/(x^2-7*x+1) lgdogf] A081017 5.19613 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=10,a(2)=75} ogf] A081017 5.24253 [-(3*f(x)+4)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-5*x^2-f(x)+10*x) ogf] A081017 6.82748 [-(2*x^3-14*x^2+32*x-15)/(x^4-10*x^3+24*x^2-17*x+2) lgdogf] A081018 12.5586 [-(-15+32*x+2*x^3-14*x^2)/(x-2)/(x-1)/(x^2-7*x+1) lgdogf] A081018 13.1471 [x*(x-2)/(x-1)/(x^2-7*x+1) ogf] A081018 6.69091 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=15} ogf] A081018 6.69092 [-(15*f(x)+4)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+2*x) ogf] A081018 8.71374 [-(2*x^3-14*x^2+32*x-15)/(x^4-10*x^3+24*x^2-17*x+2) lgdogf] A081019 10.0185 [(2*x^2-4*x-3)/(x-1)/(x^2-7*x+1) ogf] A081019 5.05066 [-(11325*f(x)+137)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-2*x^2-f(x)+4*x+3) ogf] A081019 5.31417 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=3,a(1)=28,a(2)=198} ogf] A081019 9.82207 [-(-28+52*x+2*x^4-8*x^3+7*x^2)/(x-1)/(x^2-7*x+1)/(2*x^2-4*x-3) lgdogf] A081026 11.7880 [-(x^4+x^3-2*x-1)/(2*x^2-1)/(x-1)/(x+1) ogf] A081026 7.58636 [(f(x)+8)*(2*f(x)*x^4+x^4-3*f(x)*x^2+x^3+f(x)-2*x-1) ogf] A081026 9.75677 [-(2+6*x+2*x^6+6*x^5-9*x^4-12*x^3+3*x^2)/(x-1)/(x+1)/(2*x^2-1)/(x^4+x^3-2*x-1) lgdogf] A081031 5.98554 [(x+1)*(x^2+1)*(x^4+x^3-x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A081032 5.02623 [(2*x^2-x+2)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A081033 13.0027 [(x+1)/(7*x-1)/(5*x-1) ogf] A081033 13.3144 [-1/2*(-1-12*x+(1+28*x+4*x^2)^(1/2))/(-1+35*x) revogf] A081033 14.9787 [-(-13+70*x+35*x^2)/(7*x-1)/(5*x-1)/(x+1) lgdogf] A081033 6.86662 [(86*f(x)+83)*(35*f(x)*x^2-12*f(x)*x+f(x)-x-1) ogf] A081033 7.18975 [{-a(n+2)+12*a(n+1)-35*a(n),a(0)=1,a(1)=13} ogf] A081033 8.73041 [-(35*x^2+70*x-13)/(35*x^3+23*x^2-11*x+1) lgdogf] A081034 12.4669 [(x+1)/(8*x-1)/(6*x-1) ogf] A081034 12.7592 [-1/2*(-1-14*x+(1+32*x+4*x^2)^(1/2))/(-1+48*x) revogf] A081034 14.0040 [-3*(-5+32*x+16*x^2)/(6*x-1)/(8*x-1)/(x+1) lgdogf] A081034 6.36895 [(572*f(x)+1303)*(48*f(x)*x^2-14*f(x)*x+f(x)-x-1) ogf] A081034 6.89346 [{-a(n+2)+14*a(n+1)-48*a(n),a(0)=1,a(1)=15} ogf] A081034 8.37063 [-(48*x^2+96*x-15)/(48*x^3+34*x^2-13*x+1) lgdogf] A081035 13.0934 [(x+1)/(9*x-1)/(7*x-1) ogf] A081035 13.4136 [-1/2*(-1-16*x+(1+36*x+4*x^2)^(1/2))/(-1+63*x) revogf] A081035 14.7222 [-(-17+126*x+63*x^2)/(9*x-1)/(7*x-1)/(x+1) lgdogf] A081035 6.7625 [(146*f(x)+143)*(63*f(x)*x^2-16*f(x)*x+f(x)-x-1) ogf] A081035 7.23986 [{-a(n+2)+16*a(n+1)-63*a(n),a(0)=1,a(1)=17} ogf] A081035 8.66744 [-(63*x^2+126*x-17)/(63*x^3+47*x^2-15*x+1) lgdogf] A081036 11.8075 [(x+1)/(10*x-1)/(8*x-1) ogf] A081036 12.0753 [-1/2*(-1-18*x+(1+40*x+4*x^2)^(1/2))/(-1+80*x) revogf] A081036 12.6370 [-(-19+160*x+80*x^2)/(10*x-1)/(-1+8*x)/(x+1) lgdogf] A081036 6.09837 [(182*f(x)+179)*(80*f(x)*x^2-18*f(x)*x+f(x)-x-1) ogf] A081036 6.52884 [{-a(n+2)+18*a(n+1)-80*a(n),a(0)=1,a(1)=19} ogf] A081036 7.81621 [-(80*x^2+160*x-19)/(80*x^3+62*x^2-17*x+1) lgdogf] A081037 11.2590 [(x+1)^3/(2*x+1)^2 ogf] A081037 14.3083 [-(-2*x+1)/(2*x^2+3*x+1) lgdogf] A081037 32.9351 [(-1+2*x)/(x+1)/(2*x+1) lgdogf] A081037 6.02454 [{a(n+4)+4*a(n+3)+4*a(n+2),a(0)=1,a(1)=-1,a(2)=3,a(3)=-7} ogf] A081037 7.72001 [(3*f(x)+5)*(4*f(x)*x^2-x^3+4*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A081038 12.7784 [-(-3*x+5)/(-3*x^2+4*x-1) lgdogf] A081038 13.6303 [-(x-1)/(3*x-1)^2 ogf] A081038 17.1615 [-1/2*(-1-6*x+(1+8*x)^(1/2))/(1+9*x) revogf] A081038 25.0271 [-(-5+3*x)/(3*x-1)/(-1+x) lgdogf] A081038 7.05017 [(12*f(x)+13)*(9*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A081038 7.48005 [{-a(n+2)+6*a(n+1)-9*a(n),a(0)=1,a(1)=5} ogf] A081039 12.4930 [-(-4*x+7)/(-4*x^2+5*x-1) lgdogf] A081039 13.0361 [-(x-1)/(4*x-1)^2 ogf] A081039 15.8729 [-1/2*(-1-8*x+(1+12*x)^(1/2))/(1+16*x) revogf] A081039 24.4707 [-(-7+4*x)/(-1+4*x)/(x-1) lgdogf] A081039 6.81434 [(24*f(x)+25)*(16*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A081039 7.22484 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=1,a(1)=7} ogf] A081040 12.6221 [-(-5*x+9)/(-5*x^2+6*x-1) lgdogf] A081040 12.8906 [-(x-1)/(5*x-1)^2 ogf] A081040 15.6232 [-1/2*(-1-10*x+(1+16*x)^(1/2))/(1+25*x) revogf] A081040 25.8122 [-(-9+5*x)/(5*x-1)/(x-1) lgdogf] A081040 6.80742 [(40*f(x)+41)*(25*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A081040 7.21261 [{-a(n+2)+10*a(n+1)-25*a(n),a(0)=1,a(1)=9} ogf] A081041 12.1052 [-(-6*x+11)/(-6*x^2+7*x-1) lgdogf] A081041 12.6203 [-(x-1)/(6*x-1)^2 ogf] A081041 15.2940 [-1/2*(-1-12*x+(20*x+1)^(1/2))/(36*x+1) revogf] A081041 24.2155 [-(-11+6*x)/(6*x-1)/(x-1) lgdogf] A081041 6.66466 [(60*f(x)+61)*(36*f(x)*x^2-12*f(x)*x+f(x)+x-1) ogf] A081041 6.97829 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=1,a(1)=11} ogf] A081042 12.9611 [-(-7*x+13)/(-7*x^2+8*x-1) lgdogf] A081042 13.5127 [-(x-1)/(7*x-1)^2 ogf] A081042 16.3977 [-1/2*(-1-14*x+(24*x+1)^(1/2))/(1+49*x) revogf] A081042 25.9630 [-(-13+7*x)/(7*x-1)/(x-1) lgdogf] A081042 7.1359 [(84*f(x)+85)*(49*f(x)*x^2-14*f(x)*x+f(x)+x-1) ogf] A081042 7.47171 [{-a(n+2)+14*a(n+1)-49*a(n),a(0)=1,a(1)=13} ogf] A081043 12.2585 [-(-8*x+15)/(-8*x^2+9*x-1) lgdogf] A081043 12.7801 [-(x-1)/(8*x-1)^2 ogf] A081043 15.4971 [-1/2*(-1-16*x+(1+28*x)^(1/2))/(1+64*x) revogf] A081043 24.5370 [-(-15+8*x)/(8*x-1)/(x-1) lgdogf] A081043 6.60072 [(112*f(x)+113)*(64*f(x)*x^2-16*f(x)*x+f(x)+x-1) ogf] A081043 7.06666 [{-a(n+2)+16*a(n+1)-64*a(n),a(0)=1,a(1)=15} ogf] A081044 11.0990 [-(-9*x+17)/(-9*x^2+10*x-1) lgdogf] A081044 11.8075 [-(x-1)/(9*x-1)^2 ogf] A081044 14.2997 [-1/2*(-1-18*x+(1+32*x)^(1/2))/(1+81*x) revogf] A081044 22.6412 [-(-17+9*x)/(9*x-1)/(x-1) lgdogf] A081044 6.09837 [(144*f(x)+145)*(81*f(x)*x^2-18*f(x)*x+f(x)+x-1) ogf] A081044 6.52884 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=1,a(1)=17} ogf] A081045 10.6245 [-(x-1)/(10*x-1)^2 ogf] A081045 12.7858 [-1/2*(-1-20*x+(36*x+1)^(1/2))/(1+100*x) revogf] A081045 5.54324 [(180*f(x)+181)*(100*f(x)*x^2-20*f(x)*x+f(x)+x-1) ogf] A081045 5.92998 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=1,a(1)=19} ogf] A081045 9.80727 [-(-10*x+19)/(-10*x^2+11*x-1) lgdogf] A081048 4.91059 [{(n^2+4*n+4)*a(n+1)+(2*n+5)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=-3} ogf] A081057 10.6289 [-(x+1)*(2*x-1)/(x-1)/(4*x^2+2*x-1) ogf] A081057 10.9540 [-2*(1+4*x^4+4*x^3-4*x^2)/(x-1)/(2*x-1)/(x+1)/(4*x^2+2*x-1) lgdogf] A081057 5.78895 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A081057 6.60646 [-(f(x)-1)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+x-1) ogf] A081057 7.62779 [-(-8*x^4-8*x^3+8*x^2-2)/(-8*x^5+12*x^3-x^2-4*x+1) lgdogf] A081065 12.3667 [2*(3*x-1)/(x-1)/(x^2-14*x+1) ogf] A081065 5.76411 [-(232952*f(x)+13805)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)-6*x+2) ogf] A081065 5.81338 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=2,a(1)=24,a(2)=330} ogf] A081065 7.90891 [-(6*x^3-48*x^2+30*x-12)/(3*x^4-46*x^3+60*x^2-18*x+1) lgdogf] A081067 10.4851 [-(4-14*x+x^4-8*x^3+27*x^2)/(x-1)/(x^2-7*x+1)/(x^2-4*x+1) lgdogf] A081067 5.20997 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=5,a(1)=20,a(2)=125} ogf] A081067 5.25567 [(81*f(x)+20)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+5*x^2-f(x)-20*x+5) ogf] A081067 9.66365 [-5*(x^2-4*x+1)/(x-1)/(x^2-7*x+1) ogf] A081068 10.2316 [-(x^2-4*x+1)/(x-1)/(x^2-7*x+1) ogf] A081068 10.9277 [-(4-14*x-8*x^3+x^4+27*x^2)/(x-1)/(x^2-7*x+1)/(x^2-4*x+1) lgdogf] A081068 5.52325 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=25} ogf] A081068 5.57256 [(81*f(x)+4)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+x^2-f(x)-4*x+1) ogf] A081068 6.11889 [-(-x^4+8*x^3-27*x^2+14*x-4)/(-x^5+12*x^4-41*x^3+41*x^2-12*x+1) lgdogf] A081069 4.8998 [(10035*f(x)+133)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+9*x^2-f(x)-23*x+4) ogf] A081069 5.11660 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=4,a(1)=9,a(2)=49} ogf] A081069 8.84677 [-(9-46*x+124*x^2-46*x^3+9*x^4)/(-1+x)/(x^2-7*x+1)/(9*x^2-23*x+4) lgdogf] A081069 9.32542 [-(9*x^2-23*x+4)/(x-1)/(x^2-7*x+1) ogf] A081070 10.0909 [-5*x*(x+1)/(x-1)/(x^2-7*x+1) ogf] A081070 12.5821 [-(2*x-1)*(x^2-2*x-9)/(-1+x)/(x+1)/(x^2-7*x+1) lgdogf] A081070 5.13554 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=45} ogf] A081070 5.37552 [(9*f(x)+5)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+5*x^2-f(x)+5*x) ogf] A081070 7.87918 [-(-2*x^3+5*x^2+16*x-9)/(-x^4+7*x^3-7*x+1) lgdogf] A081071 10.1235 [-(16-14*x+x^4+16*x^3-69*x^2)/(x-1)/(x^2-7*x+1)/(x^2+8*x+1) lgdogf] A081071 5.12091 [(7695*f(x)-3508)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+x^2-f(x)+8*x+1) ogf] A081071 5.20997 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=121} ogf] A081071 6.65718 [-(-x^4-16*x^3+69*x^2+14*x-16)/(-x^5+55*x^3-55*x^2+1) lgdogf] A081071 9.82207 [-(x^2+8*x+1)/(x-1)/(x^2-7*x+1) ogf] A081072 11.5015 [3*(6*x-1)/(x-1)/(x^2-7*x+1) ogf] A081072 12.1781 [-(-2+16*x+12*x^3-51*x^2)/(x-1)/(6*x-1)/(x^2-7*x+1) lgdogf] A081072 5.49630 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=3,a(1)=6,a(2)=24} ogf] A081072 5.54538 [-(585*f(x)+421)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)-18*x+3) ogf] A081072 7.22188 [-(12*x^3-51*x^2+16*x-2)/(6*x^4-49*x^3+56*x^2-14*x+1) lgdogf] A081073 4.61248 [-(433305*f(x)+264892)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+2*x^2-f(x)-21*x+4) ogf] A081073 5.09800 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=4,a(1)=11,a(2)=58} ogf] A081073 8.89357 [-(11-60*x+164*x^2-42*x^3+2*x^4)/(x-1)/(x^2-7*x+1)/(2*x^2-21*x+4) lgdogf] A081073 9.37374 [-(2*x^2-21*x+4)/(x-1)/(x^2-7*x+1) ogf] A081074 10.3818 [3*x*(x-6)/(x-1)/(x^2-7*x+1) ogf] A081074 12.3574 [-(-47+96*x+2*x^3-26*x^2)/(x-6)/(x-1)/(x^2-7*x+1) lgdogf] A081074 5.23602 [-(47*f(x)+108)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-3*x^2-f(x)+18*x) ogf] A081074 5.28195 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=18,a(2)=141} ogf] A081074 7.00165 [-(2*x^3-26*x^2+96*x-47)/(x^4-14*x^3+56*x^2-49*x+6) lgdogf] A081075 4.39366 [-(5089545*f(x)-1666477)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-2*x^2-f(x)+12*x+5) ogf] A081075 4.89033 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=5,a(1)=52,a(2)=374} ogf] A081075 8.60329 [-(-52+84*x+65*x^2-24*x^3+2*x^4)/(x-1)/(x^2-7*x+1)/(2*x^2-12*x-5) lgdogf] A081075 9.07077 [(2*x^2-12*x-5)/(x-1)/(x^2-7*x+1) ogf] A081076 5.05367 [(63*f(x)+10)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+10*x^2-f(x)-30*x+5) ogf] A081076 5.09800 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=5,a(1)=10,a(2)=50} ogf] A081076 9.22495 [-5*(2*x^2-6*x+1)/(x-1)/(x^2-7*x+1) ogf] A081076 9.33096 [-(2-12*x+35*x^2-12*x^3+2*x^4)/(x-1)/(x^2-7*x+1)/(2*x^2-6*x+1) lgdogf] A081077 5.16506 [(275*f(x)+114)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+6*x^2-f(x)-27*x+6) ogf] A081077 5.20997 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=6,a(1)=21,a(2)=126} ogf] A081077 9.62562 [-(7-28*x+2*x^4-18*x^3+62*x^2)/(x-1)/(2*x^2-9*x+2)/(x^2-7*x+1) lgdogf] A081077 9.66365 [-3*(2*x^2-9*x+2)/(x-1)/(x^2-7*x+1) ogf] A081078 4.89033 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=4,a(1)=44,a(2)=319} ogf] A081078 5.8332 [(10800*f(x)-4601)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+12*x+4) ogf] A081078 9.07077 [(x^2-12*x-4)/(x-1)/(x^2-7*x+1) ogf] A081078 9.17684 [-(-44+66*x+76*x^2-24*x^3+x^4)/(x-1)/(x^2-7*x+1)/(x^2-12*x-4) lgdogf] A081079 12.9598 [-15*x/(x-1)/(x^2-7*x+1) ogf] A081079 17.7928 [-(8-16*x+3*x^2)/(x^2-7*x+1)/(x-1) lgdogf] A081079 5.22939 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=120} ogf] A081079 7.64296 [f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)+15*x ogf] A081079 9.17154 [-(3*x^2-16*x+8)/(x^3-8*x^2+8*x-1) lgdogf] A081085 3.36062 [{(32*n^2+128*n+128)*a(n+1)+(-12*n^2-60*n-76)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=4,a(2)=20} ogf] A081097 4.89137 [(x^7+x^6+13*x^5+89*x^4-17*x^3-17*x^2-5*x-1)/(x-1)/(x^2+4*x-1)/(x^2-4*x-1)/(x^4+18*x^2+1) ogf] A081104 3.56530 [-(3*x-1)/(4*x-1)^2 ogf] A081104 5.70609 [-(-5+12*x)/(4*x-1)/(-1+3*x) lgdogf] A081105 11.6301 [-(-20*x+6)/(-20*x^2+9*x-1) lgdogf] A081105 12.3724 [-(4*x-1)/(5*x-1)^2 ogf] A081105 15.3872 [-1/2*(-1-10*x+(1+4*x)^(1/2))/(4+25*x) revogf] A081105 19.6319 [-2*(-3+10*x)/(5*x-1)/(-1+4*x) lgdogf] A081105 6.608 [(5*f(x)+13)*(25*f(x)*x^2-10*f(x)*x+f(x)+4*x-1) ogf] A081105 6.92265 [{-a(n+2)+10*a(n+1)-25*a(n),a(0)=1,a(1)=6} ogf] A081106 11.1018 [-(-30*x+7)/(-30*x^2+11*x-1) lgdogf] A081106 12.0467 [-(5*x-1)/(6*x-1)^2 ogf] A081106 14.9787 [-1/2*(-1-12*x+(1+4*x)^(1/2))/(5+36*x) revogf] A081106 21.3158 [-(-7+30*x)/(6*x-1)/(5*x-1) lgdogf] A081106 6.74039 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=1,a(1)=7} ogf] A081106 8.59619 [(12*f(x)+37)*(36*f(x)*x^2-12*f(x)*x+f(x)+5*x-1) ogf] A081107 11.7480 [-(-42*x+8)/(-42*x^2+13*x-1) lgdogf] A081107 12.7478 [-(6*x-1)/(7*x-1)^2 ogf] A081107 15.8693 [-1/2*(-1-14*x+(1+4*x)^(1/2))/(6+49*x) revogf] A081107 20.9701 [-2*(-4+21*x)/(7*x-1)/(6*x-1) lgdogf] A081107 7.13269 [{-a(n+2)+14*a(n+1)-49*a(n),a(0)=1,a(1)=8} ogf] A081107 8.39499 [(7*f(x)+25)*(49*f(x)*x^2-14*f(x)*x+f(x)+6*x-1) ogf] A081108 12.3354 [-(-56*x+9)/(-56*x^2+15*x-1) lgdogf] A081108 13.3852 [-(7*x-1)/(8*x-1)^2 ogf] A081108 16.6789 [-1/2*(-1-16*x+(1+4*x)^(1/2))/(7+64*x) revogf] A081108 23.7354 [-(-9+56*x)/(8*x-1)/(7*x-1) lgdogf] A081108 7.06858 [(16*f(x)+65)*(64*f(x)*x^2-16*f(x)*x+f(x)+7*x-1) ogf] A081108 7.48932 [{-a(n+2)+16*a(n+1)-64*a(n),a(0)=1,a(1)=9} ogf] A081109 11.0417 [-(-72*x+10)/(-72*x^2+17*x-1) lgdogf] A081109 12.2163 [-(8*x-1)/(9*x-1)^2 ogf] A081109 15.1997 [-1/2*(-1-18*x+(1+4*x)^(1/2))/(8+81*x) revogf] A081109 20.0853 [-2*(-5+36*x)/(9*x-1)/(8*x-1) lgdogf] A081109 6.52461 [(9*f(x)+41)*(81*f(x)*x^2-18*f(x)*x+f(x)+8*x-1) ogf] A081109 6.75489 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=1,a(1)=10} ogf] A081113 3.2983 [81*f(x)^2*x^4-108*x^3*f(x)^2+54*f(x)^2*x^2+54*f(x)*x^3-12*f(x)^2*x-72*f(x)*x^2+f(x)^2+30*f(x)*x+12*x^2-4*f(x)-10*x+3 ogf] A081122 10.6721 [-(-90*x+11)/(-90*x^2+19*x-1) lgdogf] A081122 11.5615 [-(9*x-1)/(10*x-1)^2 ogf] A081122 14.2997 [-1/2*(-1-20*x+(1+4*x)^(1/2))/(9+100*x) revogf] A081122 19.4068 [-(-11+90*x)/(10*x-1)/(9*x-1) lgdogf] A081122 6.09837 [(20*f(x)+101)*(100*f(x)*x^2-20*f(x)*x+f(x)+9*x-1) ogf] A081122 6.45292 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=1,a(1)=11} ogf] A081124 4.22621 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+2*a(n+4)-4*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A081125 13.7473 [-(2*x^2+2*x+1)/(-x-1) lgdegf] A081125 28.1302 [-1-2*x-2*x^2+(1+x)*f(x) lgdegf] A081126 12.6073 [-(2*x^2+3*x+2)/(-x-1) lgdegf] A081126 13.4684 [4+6*x+4*x^2+(-4-5*x-2*x^2)*f(x)+(1+x)*f(x)^2 lgdegf] A081127 14.8533 [x/(11*x-1)^2 ogf] A081127 17.8239 [22/(-11*x+1) lgdogf] A081127 21.9186 [4*x/(1+(1+44*x)^(1/2))^2 revogf] A081127 40.4652 [-22/(-1+11*x) lgdogf] A081127 6.36569 [{a(n+2)-22*a(n+1)+121*a(n),a(0)=0,a(1)=1} ogf] A081127 8.6245 [-121*f(x)*x^2+22*f(x)*x-f(x)+x ogf] A081128 13.5364 [x/(-1+12*x)^2 ogf] A081128 16.2437 [24/(-12*x+1) lgdogf] A081128 19.9505 [4*x/(1+(1+48*x)^(1/2))^2 revogf] A081128 39.9010 [-24/(12*x-1) lgdogf] A081128 5.80133 [{a(n+2)-24*a(n+1)+144*a(n),a(0)=0,a(1)=1} ogf] A081128 7.85988 [-144*f(x)*x^2+24*f(x)*x-f(x)+x ogf] A081135 12.4487 [-x^2/(5*x-1)^3 ogf] A081135 19.3170 [15/(-5*x+1) lgdogf] A081135 4.91396 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081135 50.3730 [-15/(5*x-1) lgdogf] A081135 6.5905 [125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x+x^2-f(x) ogf] A081136 13.1047 [-x^2/(6*x-1)^3 ogf] A081136 20.7867 [18/(-6*x+1) lgdogf] A081136 5.24187 [{a(n+3)-18*a(n+2)+108*a(n+1)-216*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081136 54.2478 [-18/(6*x-1) lgdogf] A081136 7.00948 [216*f(x)*x^3-108*f(x)*x^2+18*f(x)*x+x^2-f(x) ogf] A081137 14.0812 [-21/(-1+7*x) lgdogf] A081137 2.0226 [343*f(x)*x^3-147*f(x)*x^2+21*f(x)*x+x^2-f(x) ogf] A081137 3.78139 [-x^2/(7*x-1)^3 ogf] A081138 12.6342 [-x^2/(8*x-1)^3 ogf] A081138 20.0404 [24/(-8*x+1) lgdogf] A081138 47.9317 [-24/(-1+8*x) lgdogf] A081138 5.05367 [{a(n+3)-24*a(n+2)+192*a(n+1)-512*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081138 6.75781 [512*f(x)*x^3-192*f(x)*x^2+24*f(x)*x+x^2-f(x) ogf] A081139 11.9698 [-x^2/(9*x-1)^3 ogf] A081139 18.9866 [27/(-9*x+1) lgdogf] A081139 4.78791 [{a(n+3)-27*a(n+2)+243*a(n+1)-729*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081139 45.3935 [-27/(-1+9*x) lgdogf] A081139 6.40244 [729*f(x)*x^3-243*f(x)*x^2+27*f(x)*x+x^2-f(x) ogf] A081140 12.0910 [-x^2/(10*x-1)^3 ogf] A081140 18.9426 [30/(-10*x+1) lgdogf] A081140 4.89894 [{a(n+3)-30*a(n+2)+300*a(n+1)-1000*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081140 46.8657 [-30/(10*x-1) lgdogf] A081140 6.53192 [1000*f(x)*x^3-300*f(x)*x^2+30*f(x)*x+x^2-f(x) ogf] A081141 10.8850 [-x^2/(11*x-1)^3 ogf] A081141 17.0532 [33/(-11*x+1) lgdogf] A081141 38.9088 [-33/(-1+11*x) lgdogf] A081141 4.41030 [{a(n+3)-33*a(n+2)+363*a(n+1)-1331*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081141 5.88041 [1331*f(x)*x^3-363*f(x)*x^2+33*f(x)*x+x^2-f(x) ogf] A081142 11.1925 [-x^2/(-1+12*x)^3 ogf] A081142 17.5349 [36/(-12*x+1) lgdogf] A081142 4.53489 [{a(n+3)-36*a(n+2)+432*a(n+1)-1728*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A081142 43.3556 [-36/(12*x-1) lgdogf] A081142 6.04652 [1728*f(x)*x^3-432*f(x)*x^2+36*f(x)*x+x^2-f(x) ogf] A081143 10.7634 [x^3/(5*x-1)^4 ogf] A081143 20.7846 [20/(-5*x+1) lgdogf] A081143 4.78375 [{(-1+n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A081143 5.68635 [-625*f(x)*x^4+500*f(x)*x^3-150*f(x)*x^2+x^3+20*f(x)*x-f(x) ogf] A081143 54.5147 [-20/(5*x-1) lgdogf] A081144 11.2796 [x^3/(6*x-1)^4 ogf] A081144 22.1702 [24/(-6*x+1) lgdogf] A081144 5.10267 [{(-1+n)*a(n+2)+(-12-6*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A081144 53.3204 [-24/(-1+6*x) lgdogf] A081144 6.00876 [-1296*f(x)*x^4+864*f(x)*x^3-216*f(x)*x^2+x^3+24*f(x)*x-f(x) ogf] A081172 13.6201 [(2*x^2-1)/(x^3+x^2+x-1) ogf] A081172 17.0114 [-(-1+2*x-5*x^2+2*x^4)/(2*x^2-1)/(x^3+x^2+x-1) lgdogf] A081172 6.99413 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A081172 7.1884 [(2*f(x)-13)*(f(x)*x^3+f(x)*x^2+f(x)*x-2*x^2-f(x)+1) ogf] A081172 8.82214 [-(-2*x^4+5*x^2-2*x+1)/(-2*x^5-2*x^4-x^3+3*x^2+x-1) lgdogf] A081178 12.4470 [-(7*x^2-x)/(-6*x+1) revogf] A081178 29.7716 [x*(7*x-1)/(-1+6*x) revogf] A081178 9.23945 [-1/2*(6*x-1+(1-16*x+36*x^2)^(1/2))/(1-16*x+36*x^2)^(1/2)/x lgdogf] A081178 9.28247 [-7*f(x)^2*x+6*f(x)*x+f(x)-1 ogf] A081179 10.0974 [-7*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A081179 12.1580 [-(14*x-6)/(7*x^2-6*x+1) lgdogf] A081179 15.8469 [-1/14*(-1-6*x+(1+12*x+8*x^2)^(1/2))/x revogf] A081179 18.0528 [x/(7*x^2-6*x+1) ogf] A081179 23.4535 [-2*(-3+7*x)/(7*x^2+1-6*x) lgdogf] A081179 7.35485 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A081180 10.0459 [-14*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A081180 12.0551 [-(28*x-8)/(14*x^2-8*x+1) lgdogf] A081180 16.0400 [-1/28*(-1-8*x+(1+16*x+8*x^2)^(1/2))/x revogf] A081180 17.7280 [x/(14*x^2-8*x+1) ogf] A081180 22.8261 [-4*(-2+7*x)/(14*x^2+1-8*x) lgdogf] A081180 7.35065 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=0,a(1)=1} ogf] A081182 11.4169 [-(46*x-10)/(23*x^2-10*x+1) lgdogf] A081182 15.3828 [-1/46*(-1-10*x+(1+20*x+8*x^2)^(1/2))/x revogf] A081182 16.9623 [x/(23*x^2-10*x+1) ogf] A081182 20.8767 [-2*(-5+23*x)/(23*x^2+1-10*x) lgdogf] A081182 7.15278 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=0,a(1)=1} ogf] A081182 9.73249 [-23*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A081183 10.3314 [-34*f(x)*x^2+12*f(x)*x-f(x)+x ogf] A081183 12.1195 [-(68*x-12)/(34*x^2-12*x+1) lgdogf] A081183 16.3443 [-1/68*(-1-12*x+(1+24*x+8*x^2)^(1/2))/x revogf] A081183 18.0062 [x/(34*x^2-12*x+1) ogf] A081183 22.1815 [-4*(-3+17*x)/(34*x^2+1-12*x) lgdogf] A081183 7.59296 [{a(n+2)-12*a(n+1)+34*a(n),a(0)=0,a(1)=1} ogf] A081184 11.5220 [-(94*x-14)/(47*x^2-14*x+1) lgdogf] A081184 15.5305 [-1/94*(-1-14*x+(1+28*x+8*x^2)^(1/2))/x revogf] A081184 17.1185 [x/(47*x^2-14*x+1) ogf] A081184 21.0771 [-2*(-7+47*x)/(47*x^2+1-14*x) lgdogf] A081184 7.21863 [{a(n+2)-14*a(n+1)+47*a(n),a(0)=0,a(1)=1} ogf] A081184 9.82207 [-47*f(x)*x^2+14*f(x)*x-f(x)+x ogf] A081185 10.7222 [-(124*x-16)/(62*x^2-16*x+1) lgdogf] A081185 14.3447 [-1/124*(-1-16*x+(1+32*x+8*x^2)^(1/2))/x revogf] A081185 16.2365 [x/(62*x^2-16*x+1) ogf] A081185 19.9801 [-4*(-4+31*x)/(62*x^2+1-16*x) lgdogf] A081185 6.84671 [{a(n+2)-16*a(n+1)+62*a(n),a(0)=0,a(1)=1} ogf] A081185 9.31601 [-62*f(x)*x^2+16*f(x)*x-f(x)+x ogf] A081186 12.8345 [-(4*x-1)/(5*x-1)/(3*x-1) ogf] A081186 13.4424 [-2*(2-15*x+30*x^2)/(-1+4*x)/(3*x-1)/(5*x-1) lgdogf] A081186 7.11312 [{a(n+2)-8*a(n+1)+15*a(n),a(0)=1,a(1)=4} ogf] A081186 7.94513 [-(f(x)+7)*(15*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A081186 8.55636 [-(-60*x^2+30*x-4)/(-60*x^3+47*x^2-12*x+1) lgdogf] A081187 12.5020 [-(5*x-1)/(6*x-1)/(4*x-1) ogf] A081187 13.7003 [-(5-48*x+120*x^2)/(6*x-1)/(-1+4*x)/(5*x-1) lgdogf] A081187 6.38688 [-(2*f(x)+23)*(24*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A081187 6.99514 [{a(n+2)-10*a(n+1)+24*a(n),a(0)=1,a(1)=5} ogf] A081187 8.27594 [-(-120*x^2+48*x-5)/(-120*x^3+74*x^2-15*x+1) lgdogf] A081188 12.0467 [-(6*x-1)/(7*x-1)/(5*x-1) ogf] A081188 12.8886 [-2*(3-35*x+105*x^2)/(6*x-1)/(7*x-1)/(5*x-1) lgdogf] A081188 5.48723 [x*(x^4+3*x^2+1)*(5*x^4+5*x^2+1)/(1+6*x+x^10+9*x^2+48*x^3+35*x^6+28*x^4+126*x^5+15*x^8+30*x^9+120*x^7) revogf] A081188 6.15428 [-(f(x)+17)*(35*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A081188 6.74039 [{a(n+2)-12*a(n+1)+35*a(n),a(0)=1,a(1)=6} ogf] A081188 7.86379 [-(-210*x^2+70*x-6)/(-210*x^3+107*x^2-18*x+1) lgdogf] A081189 12.7478 [-(7*x-1)/(8*x-1)/(6*x-1) ogf] A081189 14.3211 [-(7-96*x+336*x^2)/(6*x-1)/(8*x-1)/(7*x-1) lgdogf] A081189 5.81350 [x*(x^4+3*x^2+1)*(5*x^4+5*x^2+1)/(1+7*x+x^10+9*x^2+56*x^3+35*x^6+28*x^4+147*x^5+15*x^8+35*x^9+140*x^7) revogf] A081189 6.51246 [-(2*f(x)+47)*(48*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A081189 7.13269 [{a(n+2)-14*a(n+1)+48*a(n),a(0)=1,a(1)=7} ogf] A081189 8.32147 [-(-336*x^2+96*x-7)/(-336*x^3+146*x^2-21*x+1) lgdogf] A081190 13.3852 [-(8*x-1)/(9*x-1)/(7*x-1) ogf] A081190 14.3516 [-2*(4-63*x+252*x^2)/(8*x-1)/(7*x-1)/(9*x-1) lgdogf] A081190 6.11010 [x*(x^4+3*x^2+1)*(5*x^4+5*x^2+1)/(1+8*x+x^10+9*x^2+64*x^3+35*x^6+28*x^4+168*x^5+15*x^8+40*x^9+160*x^7) revogf] A081190 6.55316 [-(193*f(x)+3903)*(63*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A081190 7.48932 [{a(n+2)-16*a(n+1)+63*a(n),a(0)=1,a(1)=8} ogf] A081190 8.61785 [-(-504*x^2+126*x-8)/(-504*x^3+191*x^2-24*x+1) lgdogf] A081191 3.57134 [-(9*x-1)/(10*x-1)/(8*x-1) ogf] A081192 11.5615 [-(10*x-1)/(11*x-1)/(9*x-1) ogf] A081192 12.0753 [-2*(5-99*x+495*x^2)/(9*x-1)/(10*x-1)/(11*x-1) lgdogf] A081192 5.78074 [x*(x^2+1)*(x^6+9*x^4+6*x^2+1)/(1+10*x+21*x^4+8*x^2+70*x^3+20*x^6+100*x^7+150*x^5+5*x^8+10*x^9) revogf] A081192 5.96722 [-(f(x)+49)*(99*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A081192 6.52884 [{a(n+2)-20*a(n+1)+99*a(n),a(0)=1,a(1)=10} ogf] A081192 7.49934 [-(-990*x^2+198*x-10)/(-990*x^3+299*x^2-30*x+1) lgdogf] A081193 13.9355 [(3*x+1)/(4*x-1)/(2*x-1) ogf] A081193 14.2920 [-1/2*(-1-6*x+(1+24*x+4*x^2)^(1/2))/(-3+8*x) revogf] A081193 14.9892 [-(-9+16*x+24*x^2)/(4*x-1)/(2*x-1)/(3*x+1) lgdogf] A081193 7.20803 [(38*f(x)+43)*(8*f(x)*x^2-6*f(x)*x+f(x)-3*x-1) ogf] A081193 7.64754 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=9} ogf] A081193 9.22203 [-(24*x^2+16*x-9)/(24*x^3-10*x^2-3*x+1) lgdogf] A081194 13.0385 [(8*x+1)/(5*x-1)/(3*x-1) ogf] A081194 13.3544 [-1/2*(-1-8*x+(1+48*x+4*x^2)^(1/2))/(-8+15*x) revogf] A081194 13.6649 [-2*(-8+15*x+60*x^2)/(8*x+1)/(3*x-1)/(5*x-1) lgdogf] A081194 6.81558 [(49*f(x)+79)*(15*f(x)*x^2-8*f(x)*x+f(x)-8*x-1) ogf] A081194 7.14012 [{-a(n+2)+8*a(n+1)-15*a(n),a(0)=1,a(1)=16} ogf] A081194 8.95179 [-(120*x^2+30*x-16)/(120*x^3-49*x^2+1) lgdogf] A081195 12.5446 [(15*x+1)/(6*x-1)/(4*x-1) ogf] A081195 13.4127 [-(-25+48*x+360*x^2)/(6*x-1)/(4*x-1)/(15*x+1) lgdogf] A081195 13.4127 [-1/6*(-1-10*x+(1+80*x+4*x^2)^(1/2))/(-5+8*x) revogf] A081195 6.54502 [(202*f(x)+423)*(24*f(x)*x^2-10*f(x)*x+f(x)-15*x-1) ogf] A081195 7.08402 [{-a(n+2)+10*a(n+1)-24*a(n),a(0)=1,a(1)=25} ogf] A081195 8.36308 [-(360*x^2+48*x-25)/(360*x^3-126*x^2+5*x+1) lgdogf] A081199 11.1828 [-(48*x-10)/(24*x^2-10*x+1) lgdogf] A081199 15.0624 [-1/48*(-1-10*x+(1+20*x+4*x^2)^(1/2))/x revogf] A081199 16.6144 [x/(6*x-1)/(4*x-1) ogf] A081199 19.7369 [-2*(-5+24*x)/(6*x-1)/(-1+4*x) lgdogf] A081199 7.00606 [{a(n+2)-10*a(n+1)+24*a(n),a(0)=0,a(1)=1} ogf] A081199 9.53285 [-24*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A081200 10.1817 [-35*f(x)*x^2+12*f(x)*x-f(x)+x ogf] A081200 11.9439 [-(70*x-12)/(35*x^2-12*x+1) lgdogf] A081200 16.1039 [-1/70*(-1-12*x+(1+24*x+4*x^2)^(1/2))/x revogf] A081200 17.7452 [x/(7*x-1)/(5*x-1) ogf] A081200 21.8553 [-2*(-6+35*x)/(7*x-1)/(5*x-1) lgdogf] A081200 7.48292 [{a(n+2)-12*a(n+1)+35*a(n),a(0)=0,a(1)=1} ogf] A081201 11.4068 [-(96*x-14)/(48*x^2-14*x+1) lgdogf] A081201 12.0095 [-48*f(x)*x^2+14*f(x)*x-f(x)+x ogf] A081201 15.3728 [-1/96*(-1-14*x+(1+28*x+4*x^2)^(1/2))/x revogf] A081201 16.9473 [x/(8*x-1)/(6*x-1) ogf] A081201 20.8631 [-2*(-7+48*x)/(8*x-1)/(6*x-1) lgdogf] A081201 7.14645 [{a(n+2)-14*a(n+1)+48*a(n),a(0)=0,a(1)=1} ogf] A081202 10.2641 [-63*f(x)*x^2+16*f(x)*x-f(x)+x ogf] A081202 11.8134 [-(126*x-16)/(63*x^2-16*x+1) lgdogf] A081202 15.8236 [-1/126*(-1-16*x+(1+32*x+4*x^2)^(1/2))/x revogf] A081202 17.8888 [x/(9*x-1)/(7*x-1) ogf] A081202 22.0400 [-2*(-8+63*x)/(9*x-1)/(7*x-1) lgdogf] A081202 7.54347 [{a(n+2)-16*a(n+1)+63*a(n),a(0)=0,a(1)=1} ogf] A081203 10.7222 [-(160*x-18)/(80*x^2-18*x+1) lgdogf] A081203 14.3447 [-1/160*(-1-18*x+(1+36*x+4*x^2)^(1/2))/x revogf] A081203 16.2365 [x/(10*x-1)/(8*x-1) ogf] A081203 19.2912 [-2*(-9+80*x)/(10*x-1)/(8*x-1) lgdogf] A081203 6.84671 [{a(n+2)-18*a(n+1)+80*a(n),a(0)=0,a(1)=1} ogf] A081203 9.31601 [-80*f(x)*x^2+18*f(x)*x-f(x)+x ogf] A081204 4.90513 [27*f(x)^3*x^4-4*f(x)^3*x^2+54*x^3*f(x)^2-8*f(x)^2*x+39*f(x)*x^2+4*f(x)*x+x^2-4*f(x)+12*x+4 ogf] A081207 14.8350 [-(-2+x^3+x^4-3*x^2)/(x+1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A081207 6.40406 [f(x)^2*x^4-2*x^3*f(x)^2-f(x)^2*x^2-2*f(x)^2*x+f(x)^2-x^2-2*x-1 ogf] A081207 7.72664 [-(-x^4-x^3+3*x^2+2)/(-x^5+x^4+3*x^3+3*x^2+x-1) lgdogf] A081219 10.9362 [-2*(17+140*x+44*x^3+x^4+182*x^2)/(x-1)/(x^4+28*x^3+70*x^2+28*x+1) lgdogf] A081219 3.95878 [{(-2*n^2-13*n-21)*a(n+1)+(4*n^2+24*n+66)*a(n+2)+(-2*n^2-11*n-15)*a(n+3),a(0)=1,a(1)=34,a(2)=259} ogf] A081219 6.77062 [(x^4+28*x^3+70*x^2+28*x+1)/(x-1)^6 ogf] A081219 6.83449 [-(-2*x^4-88*x^3-364*x^2-280*x-34)/(-x^5-27*x^4-42*x^3+42*x^2+27*x+1) lgdogf] A081250 11.4891 [(x^2+1)/(x-1)/(3*x-1)/(x+1) ogf] A081250 12.8369 [-(-3-4*x+3*x^4+12*x^2)/(x-1)/(3*x-1)/(x+1)/(x^2+1) lgdogf] A081250 5.79538 [-(14*f(x)+41)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x-x^2+f(x)-1) ogf] A081250 5.79538 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A081250 8.97093 [-(3*x^4+12*x^2-4*x-3)/(3*x^5-x^4-3*x+1) lgdogf] A081251 10.4870 [-(-9*x^2+2*x+3)/(-3*x^3+x^2+3*x-1) lgdogf] A081251 16.3700 [2/(x-1)/(3*x-1)/(x+1) ogf] A081251 18.2816 [-(-3-2*x+9*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A081251 5.93955 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=2,a(1)=6,a(2)=20} ogf] A081251 6.64523 [(13*f(x)+54)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-2) ogf] A081253 12.0491 [-(x^2-2)/(x-1)/(2*x-1)/(x+1) ogf] A081253 12.9435 [-2*(x-2)*(x^3+2*x^2-x-1)/(x-1)/(2*x-1)/(x+1)/(x^2-2) lgdogf] A081253 6.13212 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=4,a(2)=9} ogf] A081253 6.24361 [(65*f(x)+239)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-2) ogf] A081253 7.71683 [-(-2*x^4+10*x^2-2*x-4)/(-2*x^5+x^4+6*x^3-3*x^2-4*x+2) lgdogf] A081254 11.8176 [-(x^2-x-1)/(x-1)/(2*x-1)/(x+1) ogf] A081254 13.5964 [-(3-4*x^3+2*x^4-3*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2-x-1) lgdogf] A081254 6.16131 [-(11*f(x)+25)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A081254 6.43638 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A081254 7.83559 [-(-2*x^4+4*x^3+3*x^2-3)/(-2*x^5+3*x^4+3*x^3-4*x^2-x+1) lgdogf] A081266 14.1055 [-3*x*(x+2)/(x-1)^3 ogf] A081266 16.7503 [-(2*x+7)/(x^2+x-2) lgdogf] A081266 39.6264 [-(7+2*x)/(x+2)/(x-1) lgdogf] A081266 7.11517 [-(27*f(x)-95)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+6*x) ogf] A081266 7.17870 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=21} ogf] A081267 12.4284 [-(2*x^2+16*x+9)/(2*x^3+4*x^2-5*x-1) lgdogf] A081267 13.2433 [-(2*x^2+6*x+1)/(x-1)^3 ogf] A081267 22.6437 [-(9+16*x+2*x^2)/(x-1)/(2*x^2+6*x+1) lgdogf] A081267 6.73203 [(57105*f(x)-219761)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+6*x+1) ogf] A081267 7.14905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=26} ogf] A081268 12.1145 [-(-x^2+16*x+12)/(-x^3+10*x^2-8*x-1) lgdogf] A081268 13.3061 [(x^2-9*x-1)/(x-1)^3 ogf] A081268 24.1320 [-(-12-16*x+x^2)/(x-1)/(x^2-9*x-1) lgdogf] A081268 6.87858 [(9963*f(x)-65443)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+9*x+1) ogf] A081268 7.11993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=32} ogf] A081269 3.45897 [-(x^2+5*x+3)/(x-1)^3 ogf] A081269 6.04350 [-(14+12*x+x^2)/(-1+x)/(x^2+5*x+3) lgdogf] A081270 12.4141 [-(-x^2+12*x+16)/(-x^3+8*x^2-4*x-3) lgdogf] A081270 13.4316 [(x^2-7*x-3)/(x-1)^3 ogf] A081270 24.3641 [-(-16-12*x+x^2)/(x-1)/(x^2-7*x-3) lgdogf] A081270 6.82774 [(23571*f(x)-167953)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+7*x+3) ogf] A081270 7.18710 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=16,a(2)=38} ogf] A081271 12.1716 [-(-2*x^2+16*x+13)/(-2*x^3+12*x^2-9*x-1) lgdogf] A081271 13.1532 [(2*x^2-10*x-1)/(x-1)^3 ogf] A081271 21.0575 [-(-13-16*x+2*x^2)/(x-1)/(2*x^2-10*x-1) lgdogf] A081271 7.03018 [(121*f(x)-961)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+10*x+1) ogf] A081271 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=34} ogf] A081272 11.8630 [-(13*x^2+70*x+25)/(13*x^3+9*x^2-21*x-1) lgdogf] A081272 12.9929 [-(13*x^2+22*x+1)/(x-1)^3 ogf] A081272 21.7189 [-(x+5)*(13*x+5)/(x-1)/(13*x^2+22*x+1) lgdogf] A081272 6.93686 [-(2*f(x)-27)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+22*x+1) ogf] A081272 7.18026 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=85} ogf] A081273 3.41159 [-(x^2+7*x+1)/(x-1)^3 ogf] A081273 5.95591 [-(10+16*x+x^2)/(-1+x)/(x^2+7*x+1) lgdogf] A081274 3.36420 [-(2*x+1)^2/(x-1)^3 ogf] A081274 8.41977 [-(2*x+7)/(2*x+1)/(-1+x) lgdogf] A081275 11.2294 [-(7*x^2+70*x+31)/(7*x^3+21*x^2-27*x-1) lgdogf] A081275 12.3161 [-(7*x^2+28*x+1)/(x-1)^3 ogf] A081275 20.2390 [-(31+70*x+7*x^2)/(x-1)/(7*x^2+28*x+1) lgdogf] A081275 6.63998 [(43*f(x)-703)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+28*x+1) ogf] A081275 6.69823 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=31,a(2)=97} ogf] A081276 5.64550 [x^2*(x^8-2*x^7+4*x^6-2*x^5+3*x^4-x^3+2*x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A081278 10.1395 [-(2*x-1)*(x-1)/(3*x-1)^3 ogf] A081278 16.4757 [-2*(3-7*x+3*x^2)/(x-1)/(3*x-1)/(2*x-1) lgdogf] A081278 5.27925 [(10476*f(x)-22631)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A081278 5.55468 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=6,a(2)=29} ogf] A081278 9.67861 [-(6*x^2-14*x+6)/(6*x^3-11*x^2+6*x-1) lgdogf] A081279 15.7578 [-2*(4-9*x+3*x^2)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A081279 4.15297 [(73818*f(x)+203359)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2+2*x^3-12*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A081279 7.64754 [-(2*x-1)*(x-1)^2/(3*x-1)^4 ogf] A081279 9.50148 [-(6*x^2-18*x+8)/(6*x^3-11*x^2+6*x-1) lgdogf] A081280 16.1478 [-2*(5-11*x+3*x^2)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A081280 3.22771 [{(-n-4)*a(n+4)+(28+6*n)*a(n+3)+(-44-11*n)*a(n+2)+(12+6*n)*a(n+1),a(0)=1,a(1)=10,a(2)=69,a(3)=398} ogf] A081280 6.51934 [-(2*x-1)*(x-1)^3/(3*x-1)^5 ogf] A081280 9.82766 [-(6*x^2-22*x+10)/(6*x^3-11*x^2+6*x-1) lgdogf] A081282 11.3665 [-(4*x^2+2*x+6)/(x^3-x^2+x-1) lgdogf] A081282 24.8874 [[-x^3+x+6] ogf_with_Euler_transform] A081282 25.5966 [-2*(3+x+2*x^2)/(x-1)/(x^2+1) lgdogf] A081282 3.71151 [{(n+3)*a(n+4)+(-8-n)*a(n+3)+(-1+n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=22} ogf] A081282 8.66018 [x*(x^2+1)/(x-1)^6 ogf] A081283 11.4435 [-(-6*x^3+5*x^2-8*x-1)/(-x^4+x^3-x+1) lgdogf] A081283 19.3424 [-(1+8*x+6*x^3-5*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A081283 24.8282 [-x^5+x^2+4*x+1 ogf_with_Euler_transform] A081283 8.49414 [-x*(x^2-x+1)/(x+1)^3/(x-1)^5 ogf] A081284 10.5623 [-(-8*x^3+7*x^2-10*x-1)/(-x^4+x^3-x+1) lgdogf] A081284 17.6689 [-(1+10*x-7*x^2+8*x^3)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A081284 23.2188 [-x^5+x^2+5*x+1 ogf_with_Euler_transform] A081284 6.26867 [x*(x^2-x+1)/(x+1)^4/(x-1)^6 ogf] A081293 5.31721 [x^3*f(x)^2-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+3*f(x)*x+x^2-2*f(x)-4*x+4 ogf] A081294 13.9834 [-4*f(x)*x+f(x)+2*x-1 ogf] A081294 17.0069 [(2*x-1)/(4*x-1) ogf] A081294 17.4793 [-2/(-8*x^2+6*x-1) lgdogf] A081294 23.7131 [1/4+x-1/4*(16*x^2+1)^(1/2) revogf] A081294 32.4496 [2/(-1+4*x)/(-1+2*x) lgdogf] A081294 8.73964 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=2} ogf] A081311 14.3913 [-(x^34-x^33+2*x-3)/(x-1)^2 ogf] A081311 16.1736 [(4-2*x+33*x^32-65*x^33+32*x^34)/(x-1)/(x^34-x^33+2*x-3) lgdogf] A081311 8.63480 [-(-32*x^34+65*x^33-33*x^32+2*x-4)/(x^35-2*x^34+x^33+2*x^2-5*x+3) lgdogf] A081335 12.7737 [-(4*x-1)/(6*x-1)/(2*x-1) ogf] A081335 13.7003 [-4*(1-6*x+12*x^2)/(6*x-1)/(2*x-1)/(-1+4*x) lgdogf] A081335 6.45706 [-(13*f(x)+3)*(12*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A081335 7.07942 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=1,a(1)=4} ogf] A081335 8.51583 [-(-48*x^2+24*x-4)/(-48*x^3+44*x^2-12*x+1) lgdogf] A081336 13.3441 [-(5*x-1)/(7*x-1)/(3*x-1) ogf] A081336 14.6427 [-(5-42*x+105*x^2)/(-1+3*x)/(7*x-1)/(5*x-1) lgdogf] A081336 6.81708 [-(8*f(x)+17)*(21*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A081336 7.46632 [{a(n+2)-10*a(n+1)+21*a(n),a(0)=1,a(1)=5} ogf] A081336 8.83339 [-(-105*x^2+42*x-5)/(-105*x^3+71*x^2-15*x+1) lgdogf] A081337 12.7478 [-(6*x-1)/(8*x-1)/(4*x-1) ogf] A081337 13.9801 [-2*(3-32*x+96*x^2)/(6*x-1)/(8*x-1)/(4*x-1) lgdogf] A081337 6.44244 [-(28*f(x)+53)*(32*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A081337 7.13269 [{a(n+2)-12*a(n+1)+32*a(n),a(0)=1,a(1)=6} ogf] A081337 8.32147 [-(-192*x^2+64*x-6)/(-192*x^3+104*x^2-18*x+1) lgdogf] A081338 13.3852 [-(7*x-1)/(9*x-1)/(5*x-1) ogf] A081338 15.0517 [-(7-90*x+315*x^2)/(9*x-1)/(7*x-1)/(5*x-1) lgdogf] A081338 6.83808 [-(8*f(x)+41)*(45*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A081338 7.48932 [{a(n+2)-14*a(n+1)+45*a(n),a(0)=1,a(1)=7} ogf] A081338 8.73754 [-(-315*x^2+90*x-7)/(-315*x^3+143*x^2-21*x+1) lgdogf] A081340 13.1198 [(2*x-1)/(x+1)/(5*x-1) ogf] A081340 14.4506 [-2*(-1-5*x+5*x^2)/(-1+2*x)/(5*x-1)/(x+1) lgdogf] A081340 6.63359 [-(9*f(x)-7)*(5*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A081340 7.19987 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=1,a(1)=2} ogf] A081340 8.81178 [-(10*x^2-10*x-2)/(10*x^3+3*x^2-6*x+1) lgdogf] A081341 15.9562 [-6*f(x)*x+f(x)+3*x-1 ogf] A081341 19.4061 [(3*x-1)/(6*x-1) ogf] A081341 19.4061 [-3/(-18*x^2+9*x-1) lgdogf] A081341 27.1340 [1/6+x-1/6*(1+36*x^2)^(1/2) revogf] A081341 41.4991 [3/(6*x-1)/(3*x-1) lgdogf] A081341 9.97260 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=3} ogf] A081342 10.7067 [-(-80*x^2+32*x-5)/(-80*x^3+66*x^2-15*x+1) lgdogf] A081342 15.7183 [-(5*x-1)/(8*x-1)/(2*x-1) ogf] A081342 18.1599 [-(5-32*x+80*x^2)/(2*x-1)/(8*x-1)/(5*x-1) lgdogf] A081342 7.77641 [-(756*f(x)-131)*(16*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A081342 8.79475 [{a(n+2)-10*a(n+1)+16*a(n),a(0)=1,a(1)=5} ogf] A081343 12.1536 [-(7*x-1)/(10*x-1)/(4*x-1) ogf] A081343 13.0103 [-(7-80*x+280*x^2)/(-1+4*x)/(7*x-1)/(10*x-1) lgdogf] A081343 13.9861 [-1/2*(-1-14*x+(1+36*x^2)^(1/2))/(40*x+7) revogf] A081343 6.14216 [-(18*f(x)+31)*(40*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A081343 6.80025 [{a(n+2)-14*a(n+1)+40*a(n),a(0)=1,a(1)=7} ogf] A081343 7.93362 [-(-280*x^2+80*x-7)/(-280*x^3+138*x^2-21*x+1) lgdogf] A081345 14.1382 [-2*(2+3*x+x^3+5*x^4+13*x^2)/(x-1)/(x+1)/(5*x^3-x^2+3*x+1) lgdogf] A081345 8.38290 [-(-10*x^4-2*x^3-26*x^2-6*x-4)/(-5*x^5+x^4+2*x^3-2*x^2+3*x+1) lgdogf] A081345 9.66499 [-(5*x^3-x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A081346 13.4714 [-2*(1+8*x+11*x^3+3*x^2+x^5)/(x-1)/(x+1)/(2*x^4-x^3+5*x^2+x+1) lgdogf] A081346 7.90075 [-(2*x^5+22*x^3+6*x^2+16*x+2)/(2*x^6-x^5+3*x^4+2*x^3-4*x^2-x-1) lgdogf] A081346 9.00516 [-(2*x^4-x^3+5*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A081347 14.2788 [-2*(1+2*x+12*x^2+7*x^4+2*x^3)/(x-1)/(x+1)/(7*x^3-x^2+x+1) lgdogf] A081347 8.46547 [-(-14*x^4-4*x^3-24*x^2-4*x-2)/(-7*x^5+x^4+6*x^3-2*x^2+x+1) lgdogf] A081347 9.76019 [-(7*x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A081348 15.2052 [-2*(3+4*x+3*x^4+14*x^2)/(x-1)/(x+1)/(3*x^3-x^2+5*x+1) lgdogf] A081348 9.23061 [-(-6*x^4-28*x^2-8*x-6)/(-3*x^5+x^4-2*x^3-2*x^2+5*x+1) lgdogf] A081348 9.66499 [-(3*x^3-x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A081350 11.1492 [2*(1+2*x+x^7-x^6-x^5+4*x^4+18*x^3)/(x-1)/(x+1)/(2*x^6-10*x^4+x^3+x^2-x-1) lgdogf] A081350 8.13349 [(2*x^6-10*x^4+x^3+x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A081351 15.2052 [-2*(4+5*x-x^3+x^4+15*x^2)/(x-1)/(x+1)/(x^3-x^2+7*x+1) lgdogf] A081351 8.38290 [-(-2*x^4+2*x^3-30*x^2-10*x-8)/(-x^5+x^4-6*x^3-2*x^2+7*x+1) lgdogf] A081351 9.66499 [-(x^3-x^2+7*x+1)/(x+1)^2/(x-1)^3 ogf] A081352 11.9628 [-(x^3-3*x^2+5*x+1)/(x+1)/(x-1)^3 ogf] A081352 14.7234 [-(7+8*x+12*x^2+x^4-4*x^3)/(x-1)/(x+1)/(x^3-3*x^2+5*x+1) lgdogf] A081352 6.60349 [(2012*f(x)-8033)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-3*x^2-f(x)+5*x+1) ogf] A081352 8.50965 [-(-x^4+4*x^3-12*x^2-8*x-7)/(-x^5+3*x^4-4*x^3-4*x^2+5*x+1) lgdogf] A081353 11.3073 [-(x^4-4*x^3-16*x-5)/(x^5-3*x^4-x+3) lgdogf] A081353 11.9628 [(x-3)*(x^2+1)/(x+1)/(x-1)^3 ogf] A081353 17.6041 [-(-5-16*x+x^4-4*x^3)/(x-1)/(x-3)/(x+1)/(x^2+1) lgdogf] A081353 6.39874 [-(2012*f(x)-9749)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+3*x^2-f(x)-x+3) ogf] A081358 3.65552 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(n^2+5*n+6)*a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=8} ogf] A081360 17.1743 [-(x^2-x+1)/(-x^4+1) ogf_with_Euler_transform] A081360 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*2^(3/4) A081362 35.0584 [1/(x^2-1) ogf_with_Euler_transform] A081362 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)*2^(1/8) A081367 12.7899 [-(-3+4*x)/(-2*x+1) lgdegf] A081367 26.3176 [-3+4*x+(1-2*x)*f(x) lgdegf] A081367 3.78959 [{(-4*n-8)*a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A081374 11.8269 [-(2*x^3-2*x^2+1)/(x^2-x+1)/(x+1)/(2*x-1) ogf] A081374 6.40622 [(1431*f(x)-646)*(2*f(x)*x^4-f(x)*x^3+2*x^3+2*f(x)*x-2*x^2-f(x)+1) ogf] A081374 8.63267 [-(2-4*x+4*x^6-8*x^5+2*x^4+7*x^2)/(2*x-1)/(1+x)/(x^2-x+1)/(2*x^3-2*x^2+1) lgdogf] A081406 4.66549 [{(-n-4)*a(n)+(n^3+6*n^2+11*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6} egf] A081410 8.67502 [-(-1-2*x+4*x^5+11*x^4-4*x^3+2*x^6+2*x^8-3*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1)/(2*x^4+1) lgdogf] A081410 9.94240 [(2*x^4+1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A081421 10.8074 [-(17*x-1)/(25*x-1)/(9*x-1) ogf] A081421 11.2712 [-(17-450*x+3825*x^2)/(17*x-1)/(25*x-1)/(9*x-1) lgdogf] A081421 5.45943 [-(128*f(x)+161)*(225*f(x)*x^2-34*f(x)*x+f(x)+17*x-1) ogf] A081421 6.15773 [{a(n+2)-34*a(n+1)+225*a(n),a(0)=1,a(1)=17} ogf] A081421 6.96796 [-(-3825*x^2+450*x-17)/(-3825*x^3+803*x^2-51*x+1) lgdogf] A081423 10.9063 [(6*x^2-x+1)/(x-1)^4 ogf] A081423 11.5774 [-(-12*x^2-9*x-3)/(-6*x^3+7*x^2-2*x+1) lgdogf] A081423 21.6993 [-3*(1+3*x+4*x^2)/(x-1)/(6*x^2-x+1) lgdogf] A081423 3.78157 [{(n+4)*a(n+4)+(-9-2*n)*a(n+3)+(5+7*n)*a(n+2)+(-18-6*n)*a(n+1),a(0)=1,a(1)=3,a(2)=12,a(3)=34} ogf] A081423 5.3371 [(1035072*f(x)+2286229)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)+x-1) ogf] A081435 10.9063 [(4*x^2+x+1)/(x-1)^4 ogf] A081435 12.3366 [-(-8*x^2-11*x-5)/(-4*x^3+3*x^2+1) lgdogf] A081435 22.3568 [-(5+11*x+8*x^2)/(x-1)/(4*x^2+x+1) lgdogf] A081435 4.11220 [{(n+4)*a(n+4)-5*a(n+3)+(-5+3*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=1,a(1)=5,a(2)=18,a(3)=46} ogf] A081435 5.57431 [(3648*f(x)+8035)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-x-1) ogf] A081436 11.0132 [(x+1)*(2*x+1)/(x-1)^4 ogf] A081436 11.6909 [-(4*x^2+13*x+7)/(2*x^3+x^2-2*x-1) lgdogf] A081436 21.2901 [-(7+13*x+4*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A081436 3.81864 [{(n+4)*a(n+4)+(-1+2*n)*a(n+3)+(-15-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=7,a(2)=24,a(3)=58} ogf] A081436 5.38943 [(2106432*f(x)+5465249)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A081437 11.1201 [-(x^2-6*x-1)/(x-1)^4 ogf] A081437 11.6256 [-(-2*x^2+16*x+10)/(-x^3+7*x^2-5*x-1) lgdogf] A081437 22.8040 [-2*(-5-8*x+x^2)/(x-1)/(x^2-6*x-1) lgdogf] A081437 3.83644 [{(-n-4)*a(n+4)+(-5-5*n)*a(n+3)+(30+7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=10,a(2)=33,a(3)=76} ogf] A081437 5.56005 [(21816*f(x)+112895)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-6*x-1) ogf] A081438 11.1201 [-(2*x^2-7*x-1)/(x-1)^4 ogf] A081438 11.6256 [-(-4*x^2+17*x+11)/(-2*x^3+9*x^2-6*x-1) lgdogf] A081438 20.3387 [-(-11-17*x+4*x^2)/(x-1)/(2*x^2-7*x-1) lgdogf] A081438 3.83644 [{(-n-4)*a(n+4)+(-7-6*n)*a(n+3)+(35+9*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=11,a(2)=36,a(3)=82} ogf] A081438 5.56005 [(50496*f(x)+356413)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-7*x-1) ogf] A081441 11.1945 [(8*x^2-3*x+1)/(x-1)^4 ogf] A081441 11.7034 [-(-16*x^2-7*x-1)/(-8*x^3+11*x^2-4*x+1) lgdogf] A081441 21.6448 [-(1+7*x+16*x^2)/(x-1)/(8*x^2-3*x+1) lgdogf] A081441 3.84290 [{(n+4)*a(n+4)+(-13-4*n)*a(n+3)+(15+11*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=1,a(1)=1,a(2)=6,a(3)=22} ogf] A081441 5.557 [(105408*f(x)+251189)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)+3*x-1) ogf] A081489 11.2291 [(2*x^2-x+1)/(x-1)^4 ogf] A081489 12.1064 [-(-4*x^2-x-3)/(-2*x^3+3*x^2-2*x+1) lgdogf] A081489 25.3254 [-(3+x+4*x^2)/(x-1)/(2*x^2-x+1) lgdogf] A081489 3.93303 [{(n+4)*a(n+4)+(-9-2*n)*a(n+3)+(5+3*n)*a(n+2)+(-2*n-6)*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=18} ogf] A081489 5.73931 [(1792*f(x)+1093)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+x-1) ogf] A081490 10.2222 [(x^3+2*x^2-2*x+1)/(x-1)^4 ogf] A081490 18.3804 [-(2-2*x+x^3+7*x^2)/(x-1)/(x^3+2*x^2-2*x+1) lgdogf] A081490 5.58235 [(416*f(x)+235)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A081490 9.83890 [-(x^3+7*x^2-2*x+2)/(x^4+x^3-4*x^2+3*x-1) lgdogf] A081492 16.6102 [-(5+6*x+21*x^2+8*x^3)/(x-1)/(x+1)/(4*x^2-x+1) lgdogf] A081492 9.17957 [-(x+1)*(4*x^2-x+1)/(x-1)^5 ogf] A081492 9.40622 [-(8*x^3+21*x^2+6*x+5)/(4*x^4-x^3-3*x^2+x-1) lgdogf] A081494 11.5335 [(2*x^3+x-1)/(2*x-1)/(x-1)^2 ogf] A081494 14.6741 [-(3-7*x+10*x^3-2*x^2)/(x-1)/(2*x-1)/(2*x^3+x-1) lgdogf] A081494 5.28981 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=13} ogf] A081494 6.0132 [-(4*f(x)+141)*(2*f(x)*x^3-5*f(x)*x^2-2*x^3+4*f(x)*x-f(x)-x+1) ogf] A081494 7.90500 [-(10*x^3-2*x^2-7*x+3)/(4*x^5-6*x^4+4*x^3-5*x^2+4*x-1) lgdogf] A081496 14.5484 [-10-8*x-2*x^2+((4*x^2+16*x+25)*(x+2)^2)^(1/2) revogf] A081496 3.60751 [{(-8*n^2-28*n-24)*a(n+1)+(22*n^2+138*n+216)*a(n+2)+(-5*n^2-35*n-60)*a(n+3),a(0)=5,a(1)=14,a(2)=46} ogf] A081496 8.04086 [4*f(x)^2*x^2-f(x)^2*x+16*f(x)*x-4*f(x)+x+20 ogf] A081496 8.34238 [-2*x^2-8*x-10+(4*x^4+32*x^3+105*x^2+164*x+100)^(1/2) revogf] A081497 3.33355 [-4*f(x)^2*x+f(x)^2-x^2-2*x-1 ogf] A081497 8.15709 [(-3+2*x)/(x+1)/(4*x-1) lgdogf] A081498 11.8941 [-(x^2+x-1)/(x-1)^4 ogf] A081498 14.6552 [-(2*x^2+5*x-3)/(x^3-2*x+1) lgdogf] A081498 32.2600 [-(x+3)*(2*x-1)/(x-1)/(x^2+x-1) lgdogf] A081498 4.55941 [{(n+4)*a(n+4)+(-9-2*n)*a(n+3)+5*a(n+2)+(n+3)*a(n+1),a(0)=1,a(1)=3,a(2)=5,a(3)=6} ogf] A081498 6.31304 [(10*f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1) ogf] A081499 15.7932 [-(-2-6*x+3*x^5-2*x^2+10*x^3+5*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2-x-1) lgdogf] A081499 7.93773 [-(x^4+x^3+x^2-x-1)/(x+1)^3/(x-1)^4 ogf] A081499 8.24012 [-(-3*x^5-5*x^4-10*x^3+2*x^2+6*x+2)/(-x^6-x^5+2*x^3+2*x^2-x-1) lgdogf] A081502 7.64654 [-x*(6*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081552 11.5555 [-(11-49*x+90*x^3+110*x^2)/(-1+x)/(10*x-1)/(9*x^2+x-1) lgdogf] A081552 4.95414 [(9841581*f(x)+4656869)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-9*x^2-f(x)-x+1) ogf] A081552 5.29001 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=11,a(2)=102} ogf] A081552 7.01372 [-(90*x^3+110*x^2-49*x+11)/(90*x^4-89*x^3-12*x^2+12*x-1) lgdogf] A081552 9.75345 [(9*x^2+x-1)/(10*x-1)/(x-1)^2 ogf] A081554 10.1656 [-f(x)*x^2+6*f(x)*x-f(x)+8*x ogf] A081554 12.4952 [-(2*x-6)/(x^2-6*x+1) lgdogf] A081554 13.1253 [-(-4-3*x+2*(1+x)^(1/2)*(x+2)^(1/2)*2^(1/2))/x revogf] A081554 16.2100 [8*x/(x^2-6*x+1) ogf] A081554 29.5318 [-2*(x-3)/(x^2+1-6*x) lgdogf] A081554 7.40457 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A081555 5.28076 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=3,a(1)=7,a(2)=35} ogf] A081555 6.43747 [(46*f(x)+9)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+7*x^2-f(x)-14*x+3) ogf] A081555 9.42819 [-(7-28*x+58*x^2-28*x^3+7*x^4)/(x-1)/(x^2-6*x+1)/(7*x^2-14*x+3) lgdogf] A081555 9.62461 [-(7*x^2-14*x+3)/(x-1)/(x^2-6*x+1) ogf] A081556 8.49700 [2*(1+5*x+33*x^27+99*x^23-33*x^21+x^3+3*x^2-99*x^25)/(x-1)/(x+1)/(3*x^26-6*x^24+3*x^22+x^4-3*x^2-2*x-1) lgdogf] A081556 9.60530 [-(3*x^26-6*x^24+3*x^22+x^4-3*x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A081557 14.0398 [a(n)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=1,a(2)=0 lgdegf] A081558 12.5420 [a(n)+(-n^2-3*n-2)*a(n+2),a(0)=2,a(1)=1,a(2)=0 lgdegf] A081560 12.0538 [4*a(n)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=4,a(2)=0 lgdegf] A081561 10.9436 [4*a(n)+(-n^2-3*n-2)*a(n+2),a(0)=2,a(1)=4,a(2)=0 lgdegf] A081562 12.8088 [a(n)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=2,a(2)=0 lgdegf] A081563 12.4957 [a(n)+(-n^2-3*n-2)*a(n+2),a(0)=2,a(1)=2,a(2)=0 lgdegf] A081565 12.4299 [a(n)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=3,a(2)=0 lgdegf] A081566 13.3507 [a(n)+(-n^2-3*n-2)*a(n+2),a(0)=2,a(1)=3,a(2)=0 lgdegf] A081567 13.5597 [-(2*x-1)/(5*x^2-5*x+1) ogf] A081567 14.5725 [-1/2*(-1-5*x+(1+2*x+5*x^2)^(1/2))/(2+5*x) revogf] A081567 15.3198 [-(3-10*x+10*x^2)/(-1+2*x)/(5*x^2-5*x+1) lgdogf] A081567 6.85603 [-(5*f(x)+4)*(5*f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A081567 7.44129 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=1,a(1)=3} ogf] A081567 8.97332 [-(-10*x^2+10*x-3)/(-10*x^3+15*x^2-7*x+1) lgdogf] A081568 13.8370 [-(3*x-1)/(11*x^2-7*x+1) ogf] A081568 14.8563 [-1/2*(-1-7*x+(1+2*x+5*x^2)^(1/2))/(3+11*x) revogf] A081568 15.9990 [-(4-22*x+33*x^2)/(3*x-1)/(11*x^2-7*x+1) lgdogf] A081568 7.07228 [-(3*f(x)+5)*(11*f(x)*x^2-7*f(x)*x+f(x)+3*x-1) ogf] A081568 7.66872 [{a(n+2)-7*a(n+1)+11*a(n),a(0)=1,a(1)=4} ogf] A081568 9.22470 [-(-33*x^2+22*x-4)/(-33*x^3+32*x^2-10*x+1) lgdogf] A081569 12.5752 [-(4*x-1)/(19*x^2-9*x+1) ogf] A081569 13.4829 [-1/2*(-1-9*x+(1+2*x+5*x^2)^(1/2))/(4+19*x) revogf] A081569 14.5200 [-(5-38*x+76*x^2)/(4*x-1)/(19*x^2-9*x+1) lgdogf] A081569 6.3567 [-(7*f(x)+18)*(19*f(x)*x^2-9*f(x)*x+f(x)+4*x-1) ogf] A081569 6.96939 [{a(n+2)-9*a(n+1)+19*a(n),a(0)=1,a(1)=5} ogf] A081569 8.38346 [-(-76*x^2+38*x-5)/(-76*x^3+55*x^2-13*x+1) lgdogf] A081570 13.2145 [-(5*x-1)/(29*x^2-11*x+1) ogf] A081570 14.1606 [-1/2*(-11*x-1+(1+2*x+5*x^2)^(1/2))/(5+29*x) revogf] A081570 14.8513 [-(6-58*x+145*x^2)/(5*x-1)/(29*x^2-11*x+1) lgdogf] A081570 6.82508 [-(2*f(x)+7)*(29*f(x)*x^2-11*f(x)*x+f(x)+5*x-1) ogf] A081570 7.39383 [{a(n+2)-11*a(n+1)+29*a(n),a(0)=1,a(1)=6} ogf] A081570 8.74763 [-(-145*x^2+58*x-6)/(-145*x^3+84*x^2-16*x+1) lgdogf] A081571 12.6203 [-(6*x-1)/(41*x^2-13*x+1) ogf] A081571 13.5156 [-1/2*(-1-13*x+(1+2*x+5*x^2)^(1/2))/(6+41*x) revogf] A081571 14.1749 [-(7-82*x+246*x^2)/(6*x-1)/(41*x^2-13*x+1) lgdogf] A081571 7.06137 [{a(n+2)-13*a(n+1)+41*a(n),a(0)=1,a(1)=7} ogf] A081571 7.96279 [-(9*f(x)+40)*(41*f(x)*x^2-13*f(x)*x+f(x)+6*x-1) ogf] A081571 8.23826 [-(-246*x^2+82*x-7)/(-246*x^3+119*x^2-19*x+1) lgdogf] A081574 11.1429 [-(38*x-9)/(19*x^2-9*x+1) lgdogf] A081574 14.8112 [-1/38*(-1-9*x+(1+18*x+5*x^2)^(1/2))/x revogf] A081574 16.3867 [x/(19*x^2-9*x+1) ogf] A081574 21.9205 [-(-9+38*x)/(19*x^2+1-9*x) lgdogf] A081574 6.79448 [{a(n+2)-9*a(n+1)+19*a(n),a(0)=0,a(1)=1} ogf] A081574 9.28579 [-19*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A081575 11.6511 [-(58*x-11)/(29*x^2-11*x+1) lgdogf] A081575 15.7033 [-1/58*(-11*x-1+(5*x^2+22*x+1)^(1/2))/x revogf] A081575 17.3103 [x/(29*x^2-11*x+1) ogf] A081575 22.1010 [-(-11+58*x)/(29*x^2+1-11*x) lgdogf] A081575 7.29951 [{a(n+2)-11*a(n+1)+29*a(n),a(0)=0,a(1)=1} ogf] A081575 9.93213 [-29*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A081583 32.2517 [-2*(5+x)/(2*x+1)/(x-1) lgdogf] A081583 4.76231 [{(n+3)*a(n+3)+(-8+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=46} ogf] A081583 5.09768 [(113*f(x)+613)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-12*x^2+f(x)-6*x-1) ogf] A081583 9.28040 [(2*x+1)^3/(x-1)^4 ogf] A081584 30.1369 [-(13+2*x)/(2*x+1)/(x-1) lgdogf] A081584 4.62099 [{(n+3)*a(n+3)+(-11+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=1,a(1)=13,a(2)=79} ogf] A081584 7.21440 [-(2*x+1)^4/(x-1)^5 ogf] A081585 11.2283 [(2*HeunG(5/27,19/108,-1/6,1/6,1/2,-1,-5*x)*(27*x+1)^(1/2)-2+x)/(9+x) revogf] A081585 12.7634 [-(3*x+1)^2/(x-1)^3 ogf] A081585 34.7056 [-3*(x+3)/(3*x+1)/(x-1) lgdogf] A081585 6.59804 [-(20*f(x)-101)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+6*x+1) ogf] A081585 6.88998 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=33} ogf] A081586 32.5633 [-(13+3*x)/(3*x+1)/(x-1) lgdogf] A081586 5.02164 [{(n+3)*a(n+3)+(-9+2*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=1,a(1)=13,a(2)=73} ogf] A081586 5.30062 [(256*f(x)+3235)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x-27*x^2+f(x)-9*x-1) ogf] A081586 9.66190 [(3*x+1)^3/(x-1)^4 ogf] A081587 12.3386 [-(4*x+1)^2/(x-1)^3 ogf] A081587 32.6148 [-(11+4*x)/(4*x+1)/(x-1) lgdogf] A081587 6.53843 [(625*f(x)-4881)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+8*x+1) ogf] A081587 6.71048 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=46} ogf] A081588 32.5387 [-4*(x+4)/(4*x+1)/(x-1) lgdogf] A081588 4.73998 [{(n+3)*a(n+3)+(-10+3*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=1,a(1)=16,a(2)=106} ogf] A081588 5.06914 [(95*f(x)+2384)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-48*x^2+f(x)-12*x-1) ogf] A081588 9.12446 [(4*x+1)^3/(x-1)^4 ogf] A081589 12.1206 [-(5*x+1)^2/(x-1)^3 ogf] A081589 32.5584 [-(5*x+13)/(5*x+1)/(x-1) lgdogf] A081589 6.58274 [(83*f(x)-933)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+10*x+1) ogf] A081589 6.69823 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=61} ogf] A081590 30.7085 [-(19+5*x)/(5*x+1)/(x-1) lgdogf] A081590 4.64697 [{(n+3)*a(n+3)+(-11+4*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=1,a(1)=19,a(2)=145} ogf] A081590 4.96745 [(91*f(x)+4031)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-125*x^3-4*f(x)*x-75*x^2+f(x)-15*x-1) ogf] A081590 8.89236 [(5*x+1)^3/(x-1)^4 ogf] A081591 11.9211 [-(6*x+1)^2/(x-1)^3 ogf] A081591 30.6823 [-3*(5+2*x)/(6*x+1)/(x-1) lgdogf] A081591 6.36466 [(497*f(x)-7625)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+12*x+1) ogf] A081591 6.58798 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=78} ogf] A081592 11.3942 [-(x^38-x^17+x^8-x^5+x^3-x^2+x+1)/(x-1) ogf] A081592 8.53226 [(-2+17*x^16-16*x^17+2*x+7*x^8-8*x^7-4*x^5+5*x^4+37*x^38-38*x^37+2*x^3-4*x^2)/(x-1)/(x^38-x^17+x^8-x^5+x^3-x^2+x+1) lgdogf] A081593 12.1537 [-(7*x+1)^2/(x-1)^3 ogf] A081593 32.6535 [-(17+7*x)/(7*x+1)/(x-1) lgdogf] A081593 6.48885 [(152*f(x)-3057)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+14*x+1) ogf] A081593 6.71653 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=97} ogf] A081594 10.2352 [-x*(7*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081595 7.65938 [-x*(5*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081596 7.63670 [-x*(4*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081597 7.54385 [-x*(3*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081598 7.57877 [-x*(2*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081599 7.61370 [-x*(x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081600 15.5663 [x*(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A081600 61.6241 [x^9-x^8+2 ogf_with_Euler_transform] A081607 4.37198 [(x^35+x^34+x^32+x^31+x^29+x^28+x^24+x^21+x^20+x^19+x^18+x^15+x^12+x^11+x^10+x^9+x^6+x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A081612 6.35168 [-(x^4-x^3+x^2-x+1)*(x^10-x^9-x^6+x^4+x^3-x^2+1)/(x-1)^3 ogf] A081622 9.31090 [-(-5*x^4-4*x^3-3*x^2-2*x-1)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A081622 99.9999 Evaluated at exp(-Pi) -1/72*exp(35/24*Pi)*Pi^(7/4)*2^(17/24)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(3/4)^7/GAMMA(5/6) A081625 12.3766 [-(x-1)/(5*x-1)/(3*x-1) ogf] A081625 12.9569 [-1/2*(-1-8*x+(1+12*x+4*x^2)^(1/2))/(15*x+1) revogf] A081625 14.6618 [-(7-30*x+15*x^2)/(x-1)/(3*x-1)/(5*x-1) lgdogf] A081625 6.46961 [(26*f(x)+23)*(15*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A081625 6.85934 [{-a(n+2)+8*a(n+1)-15*a(n),a(0)=1,a(1)=7} ogf] A081626 11.8554 [-(2*x-1)/(6*x-1)/(4*x-1) ogf] A081626 12.3914 [-1/4*(-1-10*x+(1+12*x+4*x^2)^(1/2))/(1+12*x) revogf] A081626 13.2981 [-8*(1-6*x+6*x^2)/(6*x-1)/(2*x-1)/(-1+4*x) lgdogf] A081626 6.26074 [(25*f(x)+39)*(24*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A081626 6.63340 [{-a(n+2)+10*a(n+1)-24*a(n),a(0)=1,a(1)=8} ogf] A081627 12.6203 [-(3*x-1)/(7*x-1)/(5*x-1) ogf] A081627 13.2084 [-1/2*(-1-12*x+(1+12*x+4*x^2)^(1/2))/(3+35*x) revogf] A081627 14.1749 [-(9-70*x+105*x^2)/(3*x-1)/(7*x-1)/(5*x-1) lgdogf] A081627 6.66466 [(38*f(x)+43)*(35*f(x)*x^2-12*f(x)*x+f(x)+3*x-1) ogf] A081627 7.06137 [{-a(n+2)+12*a(n+1)-35*a(n),a(0)=1,a(1)=9} ogf] A081628 16.3846 [(9*x+1)/(x+1)/(5*x+1) ogf] A081628 17.2626 [-1/2*(-1+6*x+(1+24*x+16*x^2)^(1/2))/(-9+5*x) revogf] A081628 19.4757 [-(-3+10*x+45*x^2)/(5*x+1)/(9*x+1)/(x+1) lgdogf] A081628 8.47481 [(28*f(x)-37)*(5*f(x)*x^2+6*f(x)*x+f(x)-9*x-1) ogf] A081628 8.99156 [{a(n+2)+6*a(n+1)+5*a(n),a(0)=1,a(1)=3} ogf] A081630 16.6610 [-(7*x+1)/(3*x+1)/(x-1) ogf] A081630 18.5651 [1/2/(7+3*x)*(-1+2*x+(1+24*x+16*x^2)^(1/2)) revogf] A081630 8.71798 [(4*f(x)-29)*(3*f(x)*x^2-2*f(x)*x-f(x)+7*x+1) ogf] A081630 9.14323 [{-a(n+2)-2*a(n+1)+3*a(n),a(0)=1,a(1)=5} ogf] A081631 10.6239 [{a(n+2)-4*a(n),a(0)=1,a(1)=6} ogf] A081631 15.8618 [-2*(3+4*x+12*x^2)/(2*x+1)/(-1+2*x)/(6*x+1) lgdogf] A081631 16.2486 [-ln(2)+1/2*ln(3+2*x+(1+4*x^2+12*x)^(1/2)) revegf] A081631 16.5837 [-(6*x+1)/(2*x+1)/(2*x-1) ogf] A081631 9.44346 [-(10*f(x)+7)*(4*f(x)*x^2-f(x)+6*x+1) ogf] A081632 14.8424 [-(5*x+1)/(x+1)/(3*x-1) ogf] A081632 15.5923 [1/2/(5+3*x)*(-2*x-1+(1+24*x+16*x^2)^(1/2)) revogf] A081632 17.6994 [-(7+6*x+15*x^2)/(5*x+1)/(3*x-1)/(x+1) lgdogf] A081632 7.67712 [(20*f(x)+29)*(3*f(x)*x^2+2*f(x)*x-f(x)+5*x+1) ogf] A081632 8.14524 [{a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=7} ogf] A081651 3.32751 [x^6-x^5+x^2+1 ogf_with_Euler_transform] A081654 13.6568 [-4*f(x)*x+f(x)-4*x-1 ogf] A081654 16.6096 [-(4*x+1)/(4*x-1) ogf] A081654 16.7226 [-1/8-1/2*x+1/8*(1+24*x+16*x^2)^(1/2) revogf] A081654 31.6850 [-8/(-1+4*x)/(4*x+1) lgdogf] A081654 8.53550 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=8} ogf] A081655 12.6517 [(3*x+1)/(5*x-1)/(x-1) ogf] A081655 12.9569 [-1/2*(-1-6*x+(1+24*x+16*x^2)^(1/2))/(5*x-3) revogf] A081655 14.2858 [-(-9+10*x+15*x^2)/(x-1)/(3*x+1)/(5*x-1) lgdogf] A081655 6.54397 [(44*f(x)+37)*(5*f(x)*x^2-6*f(x)*x+f(x)-3*x-1) ogf] A081655 6.94299 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=9} ogf] A081656 12.1783 [(2*x+1)/(6*x-1)/(2*x-1) ogf] A081656 12.4595 [-1/4*(-1-8*x+(1+24*x+16*x^2)^(1/2))/(-1+6*x) revogf] A081656 12.7493 [-2*(-5+12*x+12*x^2)/(6*x-1)/(1+2*x)/(2*x-1) lgdogf] A081656 6.36593 [(14*f(x)+11)*(12*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A081656 6.66907 [{-a(n+2)+8*a(n+1)-12*a(n),a(0)=1,a(1)=10} ogf] A081657 12.6840 [(x+1)/(7*x-1)/(3*x-1) ogf] A081657 12.6993 [-1/2*(-1-10*x+(1+24*x+16*x^2)^(1/2))/(-1+21*x) revogf] A081657 14.2480 [-(-11+42*x+21*x^2)/(-1+3*x)/(7*x-1)/(x+1) lgdogf] A081657 6.69832 [(68*f(x)+53)*(21*f(x)*x^2-10*f(x)*x+f(x)-x-1) ogf] A081657 7.01353 [{-a(n+2)+10*a(n+1)-21*a(n),a(0)=1,a(1)=11} ogf] A081659 10.7546 [(x^3+x-1)/(x^2+x-1)/(x-1)^2 ogf] A081659 13.4726 [-(2-2*x+6*x^3+x^4+x^5-6*x^2)/(x-1)/(x^2+x-1)/(x^3+x-1) lgdogf] A081659 5.22583 [{a(n+4)-3*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A081659 5.93654 [-f(x)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x-f(x)-x+1) ogf] A081660 10.4895 [(2*x^3+x-1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A081660 11.4483 [-2*(1+2*x^5-7*x^2+6*x^3+2*x^4)/(x-1)/(2*x-1)/(x+1)/(2*x^3+x-1) lgdogf] A081660 3.69274 [{(-4*n-6)*a(n+1)+(2*n-1)*a(n+2)+(4*n+4)*a(n+3)+(-2*n-1)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=8} ogf] A081660 5.48316 [(20*f(x)-151)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2-2*x^3+3*f(x)*x-f(x)-x+1) ogf] A081661 10.6073 [-(3-2*x+8*x^5-15*x^2+12*x^3+6*x^4)/(x-1)/(2*x-1)/(x+1)/(2*x^3+x-1) lgdogf] A081661 9.27197 [-(2*x^3+x-1)/(x+1)/(2*x-1)/(x-1)^3 ogf] A081662 12.1716 [-(3-4*x+2*x^5+2*x^4+6*x^3-6*x^2)/(x-1)/(x^2+x-1)/(x^3+x-1) lgdogf] A081662 9.35439 [-(x^3+x-1)/(x^2+x-1)/(x-1)^3 ogf] A081663 4.66508 [{a(n+4)-7*a(n+3)+17*a(n+2)-16*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=25} ogf] A081663 4.66509 [-(8*f(x)+389)*(4*f(x)*x^4-16*f(x)*x^3+17*f(x)*x^2+3*x^3-7*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A081663 8.56249 [-(3*x^3-5*x^2+4*x-1)/(x^2-3*x+1)/(2*x-1)^2 ogf] A081663 8.61179 [-(-3+18*x+30*x^3-17*x^4+6*x^5-36*x^2)/(2*x-1)/(x^2-3*x+1)/(3*x^3-5*x^2+4*x-1) lgdogf] A081666 4.10411 [-(15*f(x)+4381)*(45*f(x)*x^4-75*f(x)*x^3+44*f(x)*x^2+13*x^3-11*f(x)*x-16*x^2+f(x)+7*x-1) ogf] A081666 6.97710 [-(-4+44*x-186*x^2+386*x^3-415*x^4+195*x^5)/(-1+3*x)/(5*x^2-5*x+1)/(13*x^3-16*x^2+7*x-1) lgdogf] A081666 7.46651 [-(13*x^3-16*x^2+7*x-1)/(5*x^2-5*x+1)/(3*x-1)^2 ogf] A081669 3.22823 [12*f(x)^2*x^4-4*x^3*f(x)^2+24*f(x)*x^4-9*f(x)^2*x^2+4*f(x)*x^3+12*x^4+6*f(x)^2*x-16*f(x)*x^2+8*x^3-f(x)^2+4*f(x)*x-4*x+1 ogf] A081671 11.868 [-12*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A081671 20.1849 [-(-4*x+(4*x^2+1)^(1/2))/(-1+12*x^2)*x revogf] A081671 27.6608 [-4*(-1+3*x)/(6*x-1)/(2*x-1) lgdogf] A081671 4.93217 [{(-n-3)*a(n+3)+(20+8*n)*a(n+2)+(-24-12*n)*a(n+1),a(0)=1,a(1)=4,a(2)=18} ogf] A081672 3.48879 [{(8*n+8)*a(n)+(-4*n-8)*a(n+1)+(-2*n-4)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=6,a(3)=8} ogf] A081672 4.75284 [-8*x^3*f(x)^2+4*f(x)^2*x^2-16*f(x)*x^3+2*f(x)^2*x-8*x^3-f(x)^2+4*f(x)*x-4*x^2-2*x+1 ogf] A081674 10.7731 [x*(2*x-1)/(x-1)/(3*x-1)/(4*x-1) ogf] A081674 11.1799 [-2*(-3+19*x+24*x^3-37*x^2)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A081674 5.62487 [-(6*f(x)+1)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x-2*x^2-f(x)+x) ogf] A081674 5.62487 [{-a(n+3)+8*a(n+2)-19*a(n+1)+12*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A081675 5.17885 [{-a(n+3)+11*a(n+2)-38*a(n+1)+40*a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A081675 6.70897 [-40*f(x)*x^3+38*f(x)*x^2-11*f(x)*x+3*x^2+f(x)-x ogf] A081675 9.37283 [-2*(-4+38*x-117*x^2+120*x^3)/(-1+4*x)/(3*x-1)/(-1+2*x)/(5*x-1) lgdogf] A081675 9.83982 [x*(3*x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A081678 5.08303 [{-a(n+3)+14*a(n+2)-63*a(n+1)+90*a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A081678 6.64259 [-90*f(x)*x^3+63*f(x)*x^2-14*f(x)*x+4*x^2+f(x)-x ogf] A081678 9.43302 [-2*(-5+63*x-261*x^2+360*x^3)/(6*x-1)/(-1+4*x)/(3*x-1)/(5*x-1) lgdogf] A081678 9.74247 [x*(4*x-1)/(6*x-1)/(3*x-1)/(5*x-1) ogf] A081679 5.23104 [-(498*x^4-429*x^3+136*x^2-19*x+1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A081680 5.46936 [-(1083*x^4-762*x^3+199*x^2-23*x+1)/(6*x-1)/(4*x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A081681 5.68845 [-(2068*x^4-1233*x^3+274*x^2-27*x+1)/(6*x-1)/(4*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A081682 5.19088 [-(3603*x^4-1866*x^3+361*x^2-31*x+1)/(6*x-1)/(9*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A081683 4.92432 [-(5862*x^4-2685*x^3+460*x^2-35*x+1)/(6*x-1)/(9*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A081684 6.83133 [-(254*x^4-266*x^3+99*x^2-16*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A081685 6.55603 [-(636*x^4-516*x^3+153*x^2-20*x+1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A081686 6.18208 [-(1326*x^4-886*x^3+219*x^2-24*x+1)/(6*x-1)/(4*x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A081687 5.15055 [-(2456*x^4-1400*x^3+297*x^2-28*x+1)/(6*x-1)/(4*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A081696 10.0750 [-(-2+7*x+4*x^2+(-(-1+4*x)*(-1+2*x)^2)^(1/2))/(-1+4*x)/(x^2+4*x-1) lgdogf] A081696 18.1911 [(-2*x+(5*x^2+1-2*x)^(1/2))*x/(x-1)^2 revogf] A081696 3.33955 [{(-4*n-10)*a(n+1)+(-15*n-36)*a(n+2)+(8*n+26)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=9} ogf] A081696 8.2458 [f(x)^2*x^2+4*f(x)^2*x-f(x)^2-2*f(x)*x+1 ogf] A081704 14.1844 [-1/2*(-1-5*x+(1+2*x+13*x^2)^(1/2))/(2+3*x) revogf] A081704 15.6775 [-3*(1-2*x+2*x^2)/(2*x-1)/(3*x^2-5*x+1) lgdogf] A081704 16.2375 [-(2*x-1)/(3*x^2-5*x+1) ogf] A081704 8.11872 [-(13*f(x)-4)*(3*f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A081704 8.91080 [{a(n+2)-5*a(n+1)+3*a(n),a(0)=1,a(1)=3} ogf] A081708 15.1564 [(x-2)/(64*x^2+x-1) ogf] A081708 7.41697 [(33410*f(x)-66819)*(64*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A081708 8.39994 [{-a(n+2)+a(n+1)+64*a(n),a(0)=2,a(1)=1} ogf] A081714 13.4258 [-x*(2*x-3)/(x+1)/(x^2-3*x+1) ogf] A081714 15.7305 [-(4+12*x+4*x^3-13*x^2)/(2*x-3)/(1+x)/(x^2-3*x+1) lgdogf] A081714 6.89432 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=4} ogf] A081714 7.72999 [f(x)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-3*x) ogf] A081750 7.47895 [(x^10+5*x^9-x^8-4*x^7-5*x^6-2*x^5+x^4-3*x^3+3*x^2+2*x+5)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A081753 14.7260 [(x^3-x^2+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A081753 7.31337 [-(1-x+13*x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+10*x^14-10*x^13+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^3-x^2+1)/(x^4-x^2+1) lgdogf] A081808 12.7068 [{a(n+1)-2*a(n),a(0)=12} ogf] A081808 16.0347 [-2*f(x)*x+f(x)-12 ogf] A081808 25.9023 [-12/(2*x-1) ogf] A081808 29.9996 [-1/2*ln(6)+1/2*ln(6+x) revegf] A081808 65.9991 [-2/(2*x-1) lgdogf] A081854 7.44691 [-(770*x^4+3503*x^3+1823*x^2+45*x+3)/(x-1)^5 ogf] A081854 9.39518 [-2*(30+1913*x+385*x^4+5043*x^3+7989*x^2)/(x-1)/(770*x^4+3503*x^3+1823*x^2+45*x+3) lgdogf] A081857 10.4630 [-x*(8*x^2-x-1)/(x-1)/(x+1)/(10*x^2-1) ogf] A081857 6.21856 [-(110*f(x)-47)*(10*f(x)*x^4-11*f(x)*x^2+8*x^3-x^2+f(x)-x) ogf] A081857 9.01778 [-(1+6*x+160*x^5-30*x^4-40*x^3+11*x^2)/(x-1)/(x+1)/(8*x^2-x-1)/(10*x^2-1) lgdogf] A081890 4.84817 [-(4182*x^4-2082*x^3+387*x^2-32*x+1)/(6*x-1)/(9*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A081891 4.87355 [-(6684*x^4-2956*x^3+489*x^2-36*x+1)/(6*x-1)/(9*x-1)/(8*x-1)/(7*x-1)/(10*x-1) ogf] A081892 23.5909 [-(-5+6*x)/(3*x-1)/(-1+2*x) lgdogf] A081892 5.26115 [(1053*f(x)-2005)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A081892 5.44414 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=5,a(2)=22} ogf] A081892 9.93771 [-(2*x-1)^2/(3*x-1)^3 ogf] A081893 20.9749 [-6*(2*x-1)/(-1+4*x)/(-1+3*x) lgdogf] A081893 4.99719 [(1040*f(x)-2579)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+9*x^2-f(x)-6*x+1) ogf] A081893 5.16950 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=6,a(2)=33} ogf] A081893 9.17652 [-2*(HeunG(27/40,-7/40,-2/3,-1/3,1/2,1/2,-27/4*x)-1-8*x)/(9+64*x) revogf] A081893 9.36972 [-(3*x-1)^2/(4*x-1)^3 ogf] A081894 22.8339 [-(-7+20*x)/(5*x-1)/(4*x-1) lgdogf] A081894 4.92569 [(7325*f(x)-22461)*(125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x+16*x^2-f(x)-8*x+1) ogf] A081894 5.17828 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=1,a(1)=7,a(2)=46} ogf] A081894 8.36171 [-1/3*(8*HeunG(18/35,-9/70,-2/3,-1/3,1/2,1/2,-27/4*x)-8-75*x)/(16+125*x) revogf] A081894 9.17968 [-(4*x-1)^2/(5*x-1)^3 ogf] A081895 25.6786 [-6*(x-1)/(-1+3*x)/(2*x-1) lgdogf] A081895 4.27894 [{(n+3)*a(n+3)+(-16-5*n)*a(n+2)+(12+6*n)*a(n+1),a(0)=1,a(1)=6,a(2)=30} ogf] A081895 4.33562 [(13149*f(x)+26449)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2+8*x^3-12*f(x)*x-12*x^2+f(x)+6*x-1) ogf] A081895 7.88769 [-(2*x-1)^3/(3*x-1)^4 ogf] A081896 22.4387 [-(-7+12*x)/(4*x-1)/(-1+3*x) lgdogf] A081896 4.01434 [(92416*f(x)+243535)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2+27*x^3-16*f(x)*x-27*x^2+f(x)+9*x-1) ogf] A081896 4.01434 [{(n+3)*a(n+3)+(-21-7*n)*a(n+2)+(24+12*n)*a(n+1),a(0)=1,a(1)=7,a(2)=43} ogf] A081896 7.27304 [-(3*x-1)^3/(4*x-1)^4 ogf] A081897 19.4722 [-4*(-2+5*x)/(5*x-1)/(-1+4*x) lgdogf] A081897 3.57183 [(63625*f(x)+207901)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2+64*x^3-20*f(x)*x-48*x^2+f(x)+12*x-1) ogf] A081897 3.61822 [{(n+3)*a(n+3)+(-26-9*n)*a(n+2)+(40+20*n)*a(n+1),a(0)=1,a(1)=8,a(2)=58} ogf] A081897 6.40467 [-(4*x-1)^3/(5*x-1)^4 ogf] A081898 23.5162 [-(-7+6*x)/(-1+3*x)/(2*x-1) lgdogf] A081898 4.07819 [{(n+3)*a(n+3)+(-17-5*n)*a(n+2)+(12+6*n)*a(n+1),a(0)=1,a(1)=7,a(2)=39} ogf] A081898 5.99964 [-(2*x-1)^4/(3*x-1)^5 ogf] A081899 20.9734 [-4*(-2+3*x)/(4*x-1)/(3*x-1) lgdogf] A081899 3.75623 [{(n+3)*a(n+3)+(-22-7*n)*a(n+2)+(24+12*n)*a(n+1),a(0)=1,a(1)=8,a(2)=54} ogf] A081899 5.30696 [-(3*x-1)^4/(4*x-1)^5 ogf] A081900 21.4310 [-(-9+20*x)/(5*x-1)/(4*x-1) lgdogf] A081900 3.69603 [{(n+3)*a(n+3)+(-27-9*n)*a(n+2)+(40+20*n)*a(n+1),a(0)=1,a(1)=9,a(2)=71} ogf] A081900 5.12783 [-(4*x-1)^4/(5*x-1)^5 ogf] A081901 22.6203 [-2*(-4+3*x)/(-1+3*x)/(2*x-1) lgdogf] A081901 4.22164 [{(n+3)*a(n+3)+(-18-5*n)*a(n+2)+(12+6*n)*a(n+1),a(0)=1,a(1)=8,a(2)=49} ogf] A081901 5.08591 [-(2*x-1)^5/(3*x-1)^6 ogf] A081902 20.0518 [-3*(-3+4*x)/(-1+4*x)/(-1+3*x) lgdogf] A081902 3.85507 [{(n+3)*a(n+3)+(-23-7*n)*a(n+2)+(24+12*n)*a(n+1),a(0)=1,a(1)=9,a(2)=66} ogf] A081902 4.49758 [-(3*x-1)^5/(4*x-1)^6 ogf] A081903 20.3282 [-10*(2*x-1)/(5*x-1)/(-1+4*x) lgdogf] A081903 3.74950 [{(n+3)*a(n+3)+(-28-9*n)*a(n+2)+(40+20*n)*a(n+1),a(0)=1,a(1)=10,a(2)=85} ogf] A081903 4.24213 [-(4*x-1)^5/(5*x-1)^6 ogf] A081904 20.9749 [-3*(-3+2*x)/(-1+3*x)/(2*x-1) lgdogf] A081904 3.91936 [{(n+3)*a(n+3)+(-19-5*n)*a(n+2)+(12+6*n)*a(n+1),a(0)=1,a(1)=9,a(2)=60} ogf] A081904 3.97127 [-(2*x-1)^6/(3*x-1)^7 ogf] A081905 19.2583 [-2*(-5+6*x)/(-1+4*x)/(3*x-1) lgdogf] A081905 3.46675 [-(3*x-1)^6/(4*x-1)^7 ogf] A081905 3.55622 [{(n+3)*a(n+3)+(-24-7*n)*a(n+2)+(24+12*n)*a(n+1),a(0)=1,a(1)=10,a(2)=79} ogf] A081906 20.7561 [-(-11+20*x)/(5*x-1)/(-1+4*x) lgdogf] A081906 3.63899 [-(4*x-1)^6/(5*x-1)^7 ogf] A081906 3.80228 [{(n+3)*a(n+3)+(-29-9*n)*a(n+2)+(40+20*n)*a(n+1),a(0)=1,a(1)=11,a(2)=100} ogf] A081907 20.3282 [-2*(-4+15*x)/(6*x-1)/(5*x-1) lgdogf] A081907 4.61248 [(14796*f(x)-54121)*(216*f(x)*x^3-108*f(x)*x^2+18*f(x)*x+25*x^2-f(x)-10*x+1) ogf] A081907 4.92519 [{a(n+3)-18*a(n+2)+108*a(n+1)-216*a(n),a(0)=1,a(1)=8,a(2)=61} ogf] A081907 7.90540 [-2/3*(5*HeunG(5/12,-11/108,-2/3,-1/3,1/2,1/2,-27/4*x)-5-54*x)/(25+216*x) revogf] A081907 8.54665 [-(5*x-1)^2/(6*x-1)^3 ogf] A081908 11.1881 [-(5*x^2-4*x+1)/(2*x-1)^3 ogf] A081908 17.8999 [-2*(1-3*x+5*x^2)/(2*x-1)/(5*x^2-4*x+1) lgdogf] A081908 5.8785 [-(20*f(x)+13)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-4*x+1) ogf] A081908 6.13862 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A081909 15.1569 [-(3-16*x+30*x^2)/(3*x-1)/(10*x^2-6*x+1) lgdogf] A081909 5.16094 [(135*f(x)+73)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+10*x^2-f(x)-6*x+1) ogf] A081909 5.25070 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A081909 9.43484 [-(10*x^2-6*x+1)/(3*x-1)^3 ogf] A081910 14.8563 [-2*(2-15*x+34*x^2)/(-1+4*x)/(17*x^2-8*x+1) lgdogf] A081910 5.34878 [(464*f(x)+241)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+17*x^2-f(x)-8*x+1) ogf] A081910 5.48710 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A081910 9.79237 [-(17*x^2-8*x+1)/(4*x-1)^3 ogf] A081911 13.8117 [-(5-48*x+130*x^2)/(5*x-1)/(26*x^2-10*x+1) lgdogf] A081911 4.74147 [(1175*f(x)+601)*(125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x+26*x^2-f(x)-10*x+1) ogf] A081911 4.94409 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=1,a(1)=5,a(2)=26} ogf] A081911 8.63372 [-(26*x^2-10*x+1)/(5*x-1)^3 ogf] A081912 14.2314 [-2*(3-35*x+111*x^2)/(6*x-1)/(37*x^2-12*x+1) lgdogf] A081912 5.03328 [(2484*f(x)+1261)*(216*f(x)*x^3-108*f(x)*x^2+18*f(x)*x+37*x^2-f(x)-12*x+1) ogf] A081912 5.28921 [{a(n+3)-18*a(n+2)+108*a(n+1)-216*a(n),a(0)=1,a(1)=6,a(2)=37} ogf] A081912 9.17834 [-(37*x^2-12*x+1)/(6*x-1)^3 ogf] A081913 12.1971 [-(-2+12*x-27*x^2+14*x^3)/(x-1)/(-1+2*x)/(7*x^2-5*x+1) lgdogf] A081913 4.28426 [{(-4*n-8)*a(n+1)+(4*n+4)*a(n+2)-a(n+3)*n,a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A081913 4.45795 [-(160*f(x)+73)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+7*x^3-8*f(x)*x-12*x^2+f(x)+6*x-1) ogf] A081913 8.14538 [-(x-1)*(7*x^2-5*x+1)/(2*x-1)^4 ogf] A081914 11.4073 [-3*(-1+9*x-28*x^2+26*x^3)/(-1+3*x)/(2*x-1)/(13*x^2-7*x+1) lgdogf] A081914 4.33391 [-(1566*f(x)+757)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2+26*x^3-12*f(x)*x-27*x^2+f(x)+9*x-1) ogf] A081914 4.48033 [{-a(n+4)+12*a(n+3)-54*a(n+2)+108*a(n+1)-81*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=28} ogf] A081914 7.89392 [-(2*x-1)*(13*x^2-7*x+1)/(3*x-1)^4 ogf] A081915 10.7580 [-(-4+48*x+252*x^3-195*x^2)/(3*x-1)/(-1+4*x)/(21*x^2-9*x+1) lgdogf] A081915 4.08016 [-(2816*f(x)+1387)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2+63*x^3-16*f(x)*x-48*x^2+f(x)+12*x-1) ogf] A081915 4.24336 [{-a(n+4)+16*a(n+3)-96*a(n+2)+256*a(n+1)-256*a(n),a(0)=1,a(1)=4,a(2)=16,a(3)=65} ogf] A081915 7.40121 [-(3*x-1)*(21*x^2-9*x+1)/(4*x-1)^4 ogf] A081916 3.61537 [-(31750*f(x)+15751)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2+124*x^3-20*f(x)*x-75*x^2+f(x)+15*x-1) ogf] A081916 3.80565 [{-a(n+4)+20*a(n+3)-150*a(n+2)+500*a(n+1)-625*a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=126} ogf] A081916 5.39315 [x*(206+2550*x^3+4229*x^9+7911*x^6)/(206+1030*x+9843*x^6+2756*x^3+12750*x^4+7580*x^9+21145*x^10+39555*x^7) revogf] A081916 6.57340 [-(4*x-1)*(31*x^2-11*x+1)/(5*x-1)^4 ogf] A081916 9.76346 [-(-5+75*x-378*x^2+620*x^3)/(5*x-1)/(4*x-1)/(31*x^2-11*x+1) lgdogf] A081919 25.0481 [(-1-x+x^2)/(x-1)/(1+x) lgdegf] A081919 3.12909 [{(n^2+5*n+6)*a(n+1)+(-n^2-6*n-9)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A081920 23.8487 [(-2-x+2*x^2)/(x-1)/(x+1) lgdegf] A081920 3.19425 [{(2*n^2+10*n+12)*a(n+1)+(-n^2-6*n-9)*a(n+2)+a(n+4)-2*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A081921 22.4680 [(-3-x+3*x^2)/(x-1)/(1+x) lgdegf] A081922 23.9658 [4+x-4*x^2+(-1+x^2)*f(x) lgdegf] A081922 3.06085 [{(-4*n^2-20*n-24)*a(n+1)+(n^2+6*n+9)*a(n+2)-a(n+4)+4*a(n+3),a(0)=1,a(1)=4,a(2)=17,a(3)=76} ogf] A081923 3.96954 [{(-2*n-4)*a(n+1)+(n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A081923 30.8300 [-4+2*x+(1-x)*f(x) lgdegf] A081924 31.8692 [-5+3*x+(1-x)*f(x) lgdegf] A081924 4.10041 [{(-3*n-6)*a(n+1)+(n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=27} ogf] A081929 8.68742 [(900*x^12-1080*x^11-x^2-19*x-1)/(x-1)^3 ogf] A081929 8.72145 [(22+40*x+8100*x^12-19440*x^11+11880*x^10+x^2)/(x-1)/(900*x^12-1080*x^11-x^2-19*x-1) lgdogf] A081956 18.3016 [-1/12*(-2-5*x+(4+20*x+x^2)^(1/2))/x revogf] A081956 19.8010 [2/(3*x-1)/(2*x-1) ogf] A081956 24.6368 [-(-5+12*x)/(3*x-1)/(2*x-1) lgdogf] A081956 7.87267 [(13*f(x)+24)*(6*f(x)*x^2-5*f(x)*x+f(x)-2) ogf] A081956 7.87269 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=2,a(1)=10} ogf] A082010 6.81739 [x*(x^2+x+1)*(x^8+2*x^6-x^5+2*x^4+2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A082028 23.8232 [(-4-x+x^2)/(x-1)/(x+1) lgdegf] A082029 22.3287 [(-5-x+2*x^2)/(x-1)/(1+x) lgdegf] A082030 36.1185 [-4+x+(1-x)*f(x) lgdegf] A082030 4.10041 [{(-n-2)*a(n+1)+(n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=19} ogf] A082031 32.7352 [-5+2*x+(1-x)*f(x) lgdegf] A082031 4.20946 [{(-2*n-4)*a(n+1)+(n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=28} ogf] A082032 28.5995 [-4+4*x+(1-2*x)*f(x) lgdegf] A082032 4.11075 [{(-4*n-8)*a(n+1)+(2*n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=20} ogf] A082033 13.3809 [(2*x+1)/(x-1)^2 egf] A082033 26.8254 [-2*(x+2)/(2*x+1)/(x-1) lgdegf] A082033 3.52130 [{(-4*n^2-16*n-16)*a(n+1)+(-3*n^2-17*n-34)*a(n+2)+(3*n+9)*a(n+3),a(0)=1,a(1)=4,a(2)=14} ogf] A082033 7.08403 [(3*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-1) egf] A082034 13.3809 [(3*x+1)/(x-1)^2 egf] A082034 26.8254 [-(3*x+5)/(3*x+1)/(x-1) lgdegf] A082034 3.50083 [{(-9*n^2-36*n-36)*a(n+1)+(-4*n^2-19*n-42)*a(n+2)+(4*n+12)*a(n+3),a(0)=1,a(1)=5,a(2)=18} ogf] A082034 7.00165 [(8*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-1) egf] A082035 16.3206 [-(7+14*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdegf] A082035 4.81817 [-(1528*f(x)-4615)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+4*x+1) egf] A082035 9.55736 [-(x+1)*(3*x+1)/(x-1)^3 egf] A082036 4.44673 [(372*f(x)-2407)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+10*x+1) egf] A082036 8.39140 [-(7*x^2+10*x+1)/(x-1)^3 egf] A082040 12.8002 [-(7*x^2+10*x+1)/(x-1)^3 ogf] A082040 21.0424 [-(13+34*x+7*x^2)/(x-1)/(7*x^2+10*x+1) lgdogf] A082040 6.78302 [(372*f(x)-2407)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+10*x+1) ogf] A082040 6.96152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=43} ogf] A082041 12.0620 [-(13*x^2+18*x+1)/(x-1)^3 ogf] A082041 19.1065 [-(21+62*x+13*x^2)/(x-1)/(13*x^2+18*x+1) lgdogf] A082041 6.33258 [(6768*f(x)-77761)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+18*x+1) ogf] A082041 6.66587 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=73} ogf] A082042 17.8629 [-2*(x^2+x+1)/(x-1)/(2*x^2-x+1) lgdegf] A082042 4.8466 [(76*f(x)-31)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-x+1) egf] A082042 8.97813 [-(2*x^2-x+1)/(x-1)^3 egf] A082044 11.3754 [-2*(2+13*x+13*x^3+2*x^4+30*x^2)/(x-1)/(4*x^4+5*x^3+15*x^2-x+1) lgdogf] A082044 7.49351 [-(4*x^4+5*x^3+15*x^2-x+1)/(x-1)^5 ogf] A082045 12.5707 [-2*(1-x-x^3+4*x^4+9*x^2)/(x-1)/(4*x^4-6*x^3+9*x^2-4*x+1) lgdogf] A082045 6.90559 [(4*x^4-6*x^3+9*x^2-4*x+1)/(x-1)^6 ogf] A082047 12.3502 [-2*(1-2*x^3+5*x^4+8*x^2)/(x-1)/(5*x^4-8*x^3+10*x^2-4*x+1) lgdogf] A082047 6.83982 [(5*x^4-8*x^3+10*x^2-4*x+1)/(x-1)^6 ogf] A082106 13.3070 [-6*(x^2+3*x+1)*(x+1)^2/(x-1)/(6*x^4+3*x^3+13*x^2+x+1) lgdogf] A082106 7.49351 [-(6*x^4+3*x^3+13*x^2+x+1)/(x-1)^5 ogf] A082107 11.7327 [-2*(1+x-3*x^3+6*x^4+7*x^2)/(x-1)/(6*x^4-10*x^3+11*x^2-4*x+1) lgdogf] A082107 6.77529 [(6*x^4-10*x^3+11*x^2-4*x+1)/(x-1)^6 ogf] A082108 13.2433 [(x^2-8*x-1)/(x-1)^3 ogf] A082108 24.0160 [-(-11-14*x+x^2)/(x-1)/(x^2-8*x-1) lgdogf] A082108 6.90464 [(1592*f(x)-9557)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+8*x+1) ogf] A082108 7.08634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=29} ogf] A082109 13.0915 [(3*x^2-10*x-1)/(x-1)^3 ogf] A082109 20.9568 [-(-13-14*x+3*x^2)/(x-1)/(3*x^2-10*x-1) lgdogf] A082109 6.93737 [(248*f(x)-2283)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+10*x+1) ogf] A082109 7.11993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=33} ogf] A082111 13.6600 [(3*x^2-4*x-1)/(x-1)^3 ogf] A082111 23.3603 [-(-7-2*x+3*x^2)/(x-1)/(3*x^2-4*x-1) lgdogf] A082111 7.30931 [(41*f(x)-591)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+4*x+1) ogf] A082111 7.37398 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=15} ogf] A082112 13.1532 [(5*x^2-12*x-1)/(x-1)^3 ogf] A082112 21.0575 [-(-15-14*x+5*x^2)/(x-1)/(5*x^2-12*x-1) lgdogf] A082112 6.85295 [(2424*f(x)-33455)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+12*x+1) ogf] A082112 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=37} ogf] A082113 11.3754 [-(7+32*x+32*x^3+7*x^4+42*x^2)/(x-1)/(7*x^4+2*x^3+12*x^2+2*x+1) lgdogf] A082113 7.49351 [-(7*x^4+2*x^3+12*x^2+2*x+1)/(x-1)^5 ogf] A082114 11.3542 [-2*(1+2*x-4*x^3+7*x^4+6*x^2)/(x-1)/(7*x^4-12*x^3+12*x^2-4*x+1) lgdogf] A082114 6.77529 [(7*x^4-12*x^3+12*x^2-4*x+1)/(x-1)^6 ogf] A082115 11.0150 [-x*(x^6+2*x^5+2*x^4+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A082115 7.72455 [-(1+4*x+6*x^5+8*x^3+10*x^4+8*x^11+2*x^13+7*x^8+8*x^7+12*x^9+6*x^12)/(x-1)/(x+1)/(x^2+1)/(x^6+2*x^5+2*x^4+2*x^2+x+1)/(x^4+1) lgdogf] A082116 4.68456 [-x*(x^11+4*x^10+x^9-2*x^8-x^7+3*x^6-x^4+2*x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A082133 11.4179 [-2*(-2+9*x-18*x^2+15*x^3)/(x-1)/(3*x-1)/(1-4*x+5*x^2) lgdogf] A082133 3.47348 [{(3*n^2+15*n+18)*a(n+1)+(-4*n^2-16*n-12)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A082133 4.48763 [(48*f(x)+13)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2-5*x^3-8*f(x)*x+4*x^2+f(x)-x) ogf] A082133 8.19741 [x*(5*x^2-4*x+1)/(3*x-1)^2/(x-1)^2 ogf] A082134 10.2174 [-2*(-3+24*x-72*x^2+80*x^3)/(-1+4*x)/(2*x-1)/(1-6*x+10*x^2) lgdogf] A082134 3.40121 [{(8*n^2+40*n+48)*a(n+1)+(-6*n^2-24*n-18)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A082134 4.30011 [(48*f(x)+17)*(64*f(x)*x^4-96*f(x)*x^3+52*f(x)*x^2-10*x^3-12*f(x)*x+6*x^2+f(x)-x) ogf] A082134 7.71813 [x*(10*x^2-6*x+1)/(4*x-1)^2/(2*x-1)^2 ogf] A082135 10.1638 [-2*(-4+45*x-180*x^2+255*x^3)/(3*x-1)/(5*x-1)/(1-8*x+17*x^2) lgdogf] A082135 4.11443 [{a(n+4)-16*a(n+3)+94*a(n+2)-240*a(n+1)+225*a(n),a(0)=0,a(1)=1,a(2)=8,a(3)=51} ogf] A082135 4.22872 [(480*f(x)+229)*(225*f(x)*x^4-240*f(x)*x^3+94*f(x)*x^2-17*x^3-16*f(x)*x+8*x^2+f(x)-x) ogf] A082135 7.61169 [x*(17*x^2-8*x+1)/(5*x-1)^2/(3*x-1)^2 ogf] A082136 3.95787 [{a(n+4)-20*a(n+3)+148*a(n+2)-480*a(n+1)+576*a(n),a(0)=0,a(1)=1,a(2)=10,a(3)=78} ogf] A082136 4.12279 [(48*f(x)+29)*(576*f(x)*x^4-480*f(x)*x^3+148*f(x)*x^2-26*x^3-20*f(x)*x+10*x^2+f(x)-x) ogf] A082136 7.24001 [x*(26*x^2-10*x+1)/(6*x-1)^2/(4*x-1)^2 ogf] A082136 9.58275 [-2*(-5+72*x-360*x^2+624*x^3)/(6*x-1)/(-1+4*x)/(1-10*x+26*x^2) lgdogf] A082138 17.6935 [-4/(2*x-1)/(8*x^4-16*x^3+12*x^2-4*x+1) lgdogf] A082138 4.69544 [-f(x)*(16*f(x)*x^4-32*f(x)*x^3-8*x^4+24*f(x)*x^2+16*x^3-8*f(x)*x-12*x^2+f(x)+4*x-1) ogf] A082138 7.14099 [{(-2*n-8)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=4} ogf] A082138 7.61706 [(8*x^4-16*x^3+12*x^2-4*x+1)/(2*x-1)^4 ogf] A082139 11.3586 [-6/(-1+2*x)/(2*x^2-2*x+1)/(16*x^4-32*x^3+20*x^2-4*x+1) lgdogf] A082139 4.74300 [(2*x^2-2*x+1)*(16*x^4-32*x^3+20*x^2-4*x+1)/(2*x-1)^6 ogf] A082139 6.45439 [{(-2*n-12)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=6} ogf] A082140 3.90419 [(x-1)*(64*x^6-160*x^5+176*x^4-104*x^3+36*x^2-6*x+1)/(2*x-1)^7 ogf] A082140 6.23866 [{(-2*n-14)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=7} ogf] A082140 9.55819 [7/(-1+x)/(2*x-1)/(64*x^6-160*x^5+176*x^4-104*x^3+36*x^2-6*x+1) lgdogf] A082141 3.46463 [(128*x^8-512*x^7+896*x^6-896*x^5+560*x^4-224*x^3+56*x^2-8*x+1)/(2*x-1)^8 ogf] A082141 6.46493 [{(-2*n-16)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=8} ogf] A082141 8.41858 [-8/(2*x-1)/(128*x^8-512*x^7+896*x^6-896*x^5+560*x^4-224*x^3+56*x^2-8*x+1) lgdogf] A082142 2.41683 [-8*f(x)^2*x+f(x)^2+8*f(x)*x-f(x)-2*x ogf] A082143 3.71084 [{(-48*n^2-72*n)*a(n)+(14*n^2+48*n+40)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=3} ogf] A082143 5.22891 [-32*f(x)^2*x^2+4*f(x)^2*x+32*f(x)*x^2-12*f(x)*x-8*x^2+f(x)+5*x-1 ogf] A082144 4.29535 [64*x^3*f(x)^2-8*f(x)^2*x^2-64*f(x)*x^3+8*f(x)*x^2+16*x^3+8*f(x)*x-2*x^2-f(x)-4*x+1 ogf] A082145 3.56635 [128*f(x)^2*x^4-16*x^3*f(x)^2-128*f(x)*x^4+16*f(x)*x^3+32*x^4-16*f(x)*x^2-4*x^3+10*f(x)*x+8*x^2-f(x)-5*x+1 ogf] A082146 16.8852 [-x^9+x^5+x^4+x^3+x^2+x ogf_with_Euler_transform] A082146 6.60528 [(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A082146 7.08673 [-x*(2+10*x^10-10*x^9+22*x^8-19*x^7+27*x^6-9*x^5+16*x^4+x^3+7*x^2+x)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x^2+1) lgdogf] A082147 31.2438 [x*(-1+8*x)/(7*x-1) revogf] A082147 9.69635 [-1/2*(7*x-1+(1-18*x+49*x^2)^(1/2))/(1-18*x+49*x^2)^(1/2)/x lgdogf] A082147 9.73162 [-8*f(x)^2*x+7*f(x)*x+f(x)-1 ogf] A082148 11.4337 [-10*f(x)^2*x+9*f(x)*x+f(x)-1 ogf] A082148 26.3024 [x*(-1+10*x)/(-1+9*x) revogf] A082148 3.10417 [{(729*n^2+729*n)*a(n)+(-279*n^2-819*n-540)*a(n+1)+(31*n^2+157*n+192)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=11} ogf] A082148 9.06978 [-1/2*(9*x-1+(1-22*x+81*x^2)^(1/2))/(1-22*x+81*x^2)^(1/2)/x lgdogf] A082149 3.48862 [{(-3*n^2-15*n-18)*a(n+1)+(4*n^2+12*n)*a(n+2)+(-n^2-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A082149 5.57556 [-x^2*(2*x-1)*(7*x^2-4*x+1)/(3*x-1)^3/(x-1)^3 ogf] A082149 9.08860 [-6*(1-6*x+18*x^2-30*x^3+21*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(7*x^2-4*x+1) lgdogf] A082150 3.36321 [{(8*n^2+40*n+48)*a(n+1)+(-6*n^2-18*n)*a(n+2)+(n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=9} ogf] A082150 5.18978 [-x^2*(3*x-1)*(12*x^2-6*x+1)/(4*x-1)^3/(2*x-1)^3 ogf] A082150 7.83873 [-3*(3-32*x+144*x^2-320*x^3+288*x^4)/(-1+3*x)/(2*x-1)/(-1+4*x)/(12*x^2-6*x+1) lgdogf] A082151 4.07352 [{(15*n^2+75*n+90)*a(n+1)+(-8*n^2-24*n)*a(n+2)+(n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=12} ogf] A082151 6.19587 [-x^2*(4*x-1)*(19*x^2-8*x+1)/(5*x-1)^3/(3*x-1)^3 ogf] A082151 7.99549 [-12*(1-15*x+90*x^2-255*x^3+285*x^4)/(-1+4*x)/(3*x-1)/(5*x-1)/(19*x^2-8*x+1) lgdogf] A082173 25.7381 [x*(-1+11*x)/(-1+10*x) revogf] A082173 8.86064 [-1/2*(10*x-1+(1-24*x+100*x^2)^(1/2))/x/(1-24*x+100*x^2)^(1/2) lgdogf] A082173 9.05018 [-11*f(x)^2*x+10*f(x)*x+f(x)-1 ogf] A082176 5.01303 [-103138*x^2*(3633*x-2)/(1492*x-1)/(1770*x-1)/(1863*x-1)/(2141*x-1) ogf] A082177 5.57700 [-53*x^2*(3633*x-2)/(1492*x-1)/(1770*x-1)/(1863*x-1)/(2141*x-1) ogf] A082178 5.32532 [-x^2*(3633*x-2)/(1492*x-1)/(1770*x-1)/(1863*x-1)/(2141*x-1) ogf] A082181 26.9261 [x*(-1+9*x)/(-1+8*x) revogf] A082181 8.86707 [-9*f(x)^2*x+8*f(x)*x+f(x)-1 ogf] A082204 10.3260 [{-a(n+4)+a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=3} ogf] A082204 11.9433 [(2*f(x)+1)*(f(x)*x^3+2*x^3+2*x^2-f(x)+2*x+1) ogf] A082204 15.6883 [-(2+4*x+2*x^4+4*x^3+9*x^2)/(x-1)/(x^2+x+1)/(2*x^3+2*x^2+2*x+1) lgdogf] A082204 17.3911 [-(2*x^3+2*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A082205 6.36960 [-(2000*x^6-300*x^4-2222*x^3-232*x^2-22*x-1)/(x-1)/(10*x-1)/(x^2+x+1)/(100*x^2+10*x+1) ogf] A082206 11.0414 [-(2*x^4-2*x^3-3*x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A082206 12.0823 [2*(2+5*x+8*x^2+3*x^3+3*x^4)/(x-1)/(x^2+x+1)/(2*x^4-2*x^3-3*x^2-3*x-1) lgdogf] A082206 6.3924 [-(7*f(x)-118)*(f(x)*x^4-f(x)*x^3+2*x^4-2*x^3-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A082209 12.1518 [-(504*x^5+61*x^4+9*x^3+4*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A082210 10.7636 [-(70*x^6+248*x^5+31*x^4+7*x^3+8*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A082242 2.07402 [(10350289045512+1010101*f(x))*(f(x)*x^2-2*f(x)*x+5057252*x^2+f(x)-9094200*x-3456) ogf] A082242 3.87353 [-4*(1264313*x^2-2273550*x-864)/(x-1)^2 ogf] A082249 4.10793 [-(f(x)-22212019181716)*(f(x)*x^2-2*f(x)*x+f(x)+15141312111009*x-22212019181716) ogf] A082250 4.04236 [-(f(x)-3173145597388)*(f(x)*x^2-2*f(x)*x+f(x)+2163044587287*x-3173145597388) ogf] A082253 2.99032 [-(121280400*x^3-222157188*x^2-130844*x-2469)/(x-1)^2 ogf] A082255 3.47527 [(-7098637639+f(x))*(f(x)*x^2-2*f(x)*x+63251752500000*x^2+f(x)-164254754872462*x-7098637639) ogf] A082256 2.25084 [(63109031462162001830064561878081+10101010101010101*f(x))*(f(x)*x^2-2*f(x)*x+1133671153623780*x^2+f(x)-11234681240916460*x-13717421) ogf] A082274 5.71438 [(70*x^8-8*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(x-1)/(10*x-1) ogf] A082285 18.0389 [(3*x+13)/(x-1)^2 ogf] A082285 21.4187 [-1/2*(-13-2*x+(169+64*x)^(1/2))/(-3+x) revogf] A082285 33.9129 [-(29+3*x)/(3*x+13)/(x-1) lgdogf] A082285 9.32349 [(32*f(x)+425)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-13) ogf] A082285 9.87846 [{-a(n+2)+2*a(n+1)-a(n),a(0)=13,a(1)=29} ogf] A082286 18.1252 [2*(4*x+5)/(x-1)^2 ogf] A082286 28.2027 [-(-5-x+(25+18*x)^(1/2))/(x-8) revogf] A082286 34.0783 [-2*(7+2*x)/(4*x+5)/(x-1) lgdogf] A082286 9.47456 [(9*f(x)+106)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-10) ogf] A082286 9.92573 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=28} ogf] A082289 10.7019 [-(x+2)/(x+1)/(x-1)^5 ogf] A082289 21.9358 [-(9+16*x+5*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A082289 3.71071 [{(-2*n-8)*a(n+4)+(6-n)*a(n+3)+(20+2*n)*a(n+2)+(6+n)*a(n+1),a(0)=2,a(1)=9,a(2)=26,a(3)=59} ogf] A082290 12.2516 [-(2+10*x+19*x^3+11*x^4+9*x^5+9*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A082290 24.4549 [x^3-x^2+3*x+2 ogf_with_Euler_transform] A082290 6.39112 [-(x^2+x+1)/(x^2+1)/(x+1)^4/(x-1)^5 ogf] A082291 4.51737 [-(2409176*f(x)-479187)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-x^2-f(x)+5*x+2) ogf] A082291 4.94947 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=2,a(1)=19,a(2)=118} ogf] A082291 9.33097 [(x^2-5*x-2)/(x-1)/(x^2-6*x+1) ogf] A082291 9.44417 [-(-19+30*x+22*x^2-10*x^3+x^4)/(x-1)/(x^2-6*x+1)/(x^2-5*x-2) lgdogf] A082296 13.2556 [2*(x^2+4*x+6)/(x+1)/(x-1)^2 ogf] A082296 18.3175 [-(10+24*x+9*x^2+x^3)/(x-1)/(x+1)/(x^2+4*x+6) lgdogf] A082296 6.68171 [-(715*f(x)-102274)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-8*x-12) ogf] A082296 7.14652 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=12,a(1)=20,a(2)=34} ogf] A082298 10.7332 [-f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A082298 38.8176 [-x*(x-1)/(1+3*x) revogf] A082298 9.41033 [-1/2*(3*x+1+(x-1)^(1/2)*(9*x-1)^(1/2))/(x-1)^(1/2)/(9*x-1)^(1/2)/x lgdogf] A082301 10.0027 [-1/2*(-4*x-1+(1-12*x+16*x^2)^(1/2))/x/(1-12*x+16*x^2)^(1/2) lgdogf] A082301 10.2058 [-f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A082301 36.8849 [-x*(x-1)/(1+4*x) revogf] A082302 34.9652 [-x*(x-1)/(1+5*x) revogf] A082302 9.48209 [-1/2*(-5*x-1+(1-14*x+25*x^2)^(1/2))/(1-14*x+25*x^2)^(1/2)/x lgdogf] A082302 9.68171 [-f(x)^2*x-5*f(x)*x+f(x)-1 ogf] A082303 15.0168 [-(x^2+x+1)/(-x^4+1) ogf_with_Euler_transform] A082303 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(1/2) A082304 17.4019 [-(2*x^2+2*x+2)/(-x^4+1) ogf_with_Euler_transform] A082304 99.9999 Evaluated at exp(-Pi) 2*exp(-1/4*Pi) A082305 31.9747 [-x*(x-1)/(1+6*x) revogf] A082305 8.67111 [-1/2*(-6*x-1+(1-16*x+36*x^2)^(1/2))/x/(1-16*x+36*x^2)^(1/2) lgdogf] A082305 8.86707 [-f(x)^2*x-6*f(x)*x+f(x)-1 ogf] A082306 4.45164 [(66*f(x)+73)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2+x^3-8*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A082306 7.94534 [-(x^3-7*x^2+5*x-1)/(3*x-1)^2/(x-1)^2 ogf] A082306 9.91623 [-(3-18*x+42*x^2-38*x^3+3*x^4)/(x-1)/(-1+3*x)/(x^3-7*x^2+5*x-1) lgdogf] A082307 4.18066 [(176*f(x)+585)*(64*f(x)*x^4-96*f(x)*x^3+52*f(x)*x^2+14*x^3-12*f(x)*x-20*x^2+f(x)+8*x-1) ogf] A082307 7.40429 [-(14*x^3-20*x^2+8*x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A082307 8.24677 [-2*(2-20*x+75*x^2-118*x^3+56*x^4)/(-1+2*x)/(-1+4*x)/(14*x^3-20*x^2+8*x-1) lgdogf] A082308 3.58749 [-(4530*f(x)+22369)*(225*f(x)*x^4-240*f(x)*x^3+94*f(x)*x^2+43*x^3-16*f(x)*x-39*x^2+f(x)+11*x-1) ogf] A082308 3.73004 [{-a(n+4)+16*a(n+3)-94*a(n+2)+240*a(n+1)-225*a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=127} ogf] A082308 6.54926 [-(43*x^3-39*x^2+11*x-1)/(5*x-1)^2/(3*x-1)^2 ogf] A082308 7.54874 [-(5-70*x-826*x^3+645*x^4+366*x^2)/(-1+3*x)/(5*x-1)/(43*x^3-39*x^2+11*x-1) lgdogf] A082309 3.97369 [(4848*f(x)+30001)*(576*f(x)*x^4-480*f(x)*x^3+148*f(x)*x^2+94*x^3-20*f(x)*x-64*x^2+f(x)+14*x-1) ogf] A082309 4.02598 [{-a(n+4)+20*a(n+3)-148*a(n+2)+480*a(n+1)-576*a(n),a(0)=1,a(1)=6,a(2)=36,a(3)=218} ogf] A082309 7.03390 [-(94*x^3-64*x^2+14*x-1)/(6*x-1)^2/(4*x-1)^2 ogf] A082309 7.78923 [-2*(3-54*x+1128*x^4-1066*x^3+363*x^2)/(6*x-1)/(-1+4*x)/(94*x^3-64*x^2+14*x-1) lgdogf] A082310 2.94819 [-8*f(x)*x^2-7*f(x)*x+f(x)-x ogf] A082310 4.70119 [-x/(x+1)/(8*x-1) ogf] A082310 6.93704 [-(7+16*x)/(x+1)/(-1+8*x) lgdogf] A082311 13.4475 [(2*x-1)/(x+1)/(8*x-1) ogf] A082311 14.1227 [1/4*(-7*x-1+(1+6*x+81*x^2)^(1/2))/(-1+4*x) revogf] A082311 15.6093 [-(4*x+1)*(4*x-5)/(8*x-1)/(2*x-1)/(x+1) lgdogf] A082311 6.64987 [-(51*f(x)-26)*(8*f(x)*x^2+7*f(x)*x-f(x)-2*x+1) ogf] A082311 7.37972 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=1,a(1)=5} ogf] A082365 13.5141 [1/8*(-7*x-1+((1+3*x)*(27*x+1))^(1/2))/(2*x+1) revogf] A082365 13.7804 [-(4*x+1)/(x+1)/(8*x-1) ogf] A082365 15.2033 [-(11+16*x+32*x^2)/(4*x+1)/(-1+8*x)/(x+1) lgdogf] A082365 7.12778 [(93*f(x)+28)*(8*f(x)*x^2+7*f(x)*x-f(x)+4*x+1) ogf] A082365 7.47128 [{a(n+2)-7*a(n+1)-8*a(n),a(0)=1,a(1)=11} ogf] A082366 33.2393 [-x*(x-1)/(7*x+1) revogf] A082366 9.21 [-f(x)^2*x-7*f(x)*x+f(x)-1 ogf] A082367 30.2799 [-x*(x-1)/(1+8*x) revogf] A082367 8.4036 [-f(x)^2*x-8*f(x)*x+f(x)-1 ogf] A082368 3.98481 [{(-256*n^3-1920*n^2-4784*n-3960)*a(n+1)+(n^3+9*n^2+27*n+27)*a(n+2),a(0)=1,a(1)=105} ogf] A082369 17.5546 [(17*x+13)/(x-1)^2 ogf] A082369 20.2375 [-1/2*(-13-2*x+(169+120*x)^(1/2))/(-17+x) revogf] A082369 31.1346 [-(43+17*x)/(17*x+13)/(x-1) lgdogf] A082369 9.06666 [(60*f(x)+1069)*(f(x)*x^2-2*f(x)*x+f(x)-17*x-13) ogf] A082369 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=13,a(1)=43} ogf] A082383 10.8346 [(x^2+x-1)/(2*x+1)/(2*x-1)/(x-1)^2 ogf] A082383 12.2247 [-(1+5*x+12*x^3+8*x^4-20*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x^2+x-1) lgdogf] A082383 3.81422 [{(-4*n-8)*a(n+1)+(4*n+4)*a(n+2)+(n+2)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=3} ogf] A082383 5.62097 [(184*f(x)-165)*(4*f(x)*x^4-8*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2-f(x)-x+1) ogf] A082384 7.31744 [-(4*x^4-12*x^3+14*x^2-3*x-1)/(2*x+1)/(2*x-1)/(x-1)^3 ogf] A082384 7.48178 [-2*(3-7*x+8*x^6-32*x^3+62*x^4-32*x^5+7*x^2)/(x-1)/(2*x+1)/(2*x-1)/(4*x^4-12*x^3+14*x^2-3*x-1) lgdogf] A082395 3.48752 [{(3*n+9)*a(n+1)+(-n-3)*a(n+2)+(-3*n-11)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=3} ogf] A082395 6.08002 [-f(x)^2*x^4+x^3*f(x)^2+f(x)^2*x^2-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A082398 5.75326 [-(x^6-7*x^5+21*x^4-28*x^3+20*x^2-7*x+1)/(x-1)/(x^2-3*x+1)^2 ogf] A082398 5.92646 [x*(-6+136*x^3-96*x^2+x^7-11*x^6+45*x^5-104*x^4+36*x)/(x-1)/(x^2-3*x+1)/(x^6-7*x^5+21*x^4-28*x^3+20*x^2-7*x+1) lgdogf] A082405 11.0904 [-(-3-17*x+(16*x+3)^(1/2)*(1+6*x)^(1/2)*3^(1/2))/x revogf] A082405 14.5196 [6*x/(x^2-34*x+1) ogf] A082405 23.6273 [-2*(-17+x)/(x^2+1-34*x) lgdogf] A082405 6.72860 [{a(n+2)-34*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A082405 9.19575 [-f(x)*x^2+34*f(x)*x-f(x)+6*x ogf] A082411 10.4448 [(331045545867*x-407389224418)/(x^2+x-1) ogf] A082411 4.82623 [-(891122127387*f(x)-357205195083209709476165)*(f(x)*x^2+f(x)*x-f(x)-331045545867*x+407389224418) ogf] A082411 6.79420 [{-a(n+2)+a(n+1)+a(n),a(0)=407389224418,a(1)=76343678551} ogf] A082411 7.91345 [-(-76343678551-814778448836*x+331045545867*x^2)/(331045545867*x-407389224418)/(x^2+x-1) lgdogf] A082412 14.3157 [-(4*x-1)/(8*x-1)/(2*x-1) ogf] A082412 15.3642 [-1/8*(-1-10*x+(1+4*x+36*x^2)^(1/2))/(1+4*x) revogf] A082412 15.3642 [-2*(3-16*x+32*x^2)/(8*x-1)/(2*x-1)/(-1+4*x) lgdogf] A082412 7.31347 [-(85*f(x)-4)*(16*f(x)*x^2-10*f(x)*x+f(x)+4*x-1) ogf] A082412 8.00999 [{a(n+2)-10*a(n+1)+16*a(n),a(0)=1,a(1)=6} ogf] A082413 13.5764 [-(5*x-1)/(9*x-1)/(3*x-1) ogf] A082413 14.2297 [-1/2*(-1-12*x+(1+4*x+36*x^2)^(1/2))/(5+27*x) revogf] A082413 14.9073 [-(7-54*x+135*x^2)/(-1+3*x)/(9*x-1)/(5*x-1) lgdogf] A082413 6.86119 [-(30*f(x)+19)*(27*f(x)*x^2-12*f(x)*x+f(x)+5*x-1) ogf] A082413 7.59631 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=1,a(1)=7} ogf] A082414 13.6401 [-(6*x-1)/(10*x-1)/(4*x-1) ogf] A082414 14.2978 [-1/4*(-1-14*x+(1+4*x+36*x^2)^(1/2))/(3+20*x) revogf] A082414 14.2978 [-8*(1-10*x+30*x^2)/(6*x-1)/(-1+4*x)/(10*x-1) lgdogf] A082414 6.89341 [-(41*f(x)+23)*(40*f(x)*x^2-14*f(x)*x+f(x)+6*x-1) ogf] A082414 7.63198 [{a(n+2)-14*a(n+1)+40*a(n),a(0)=1,a(1)=8} ogf] A082450 13.4669 [-5*(2*x^2-2*x+1)/(x-1)^3 ogf] A082450 27.7616 [-(1+2*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A082450 7.50811 [(f(x)-5)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-10*x+5) ogf] A082450 7.50812 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=5,a(2)=10} ogf] A082491 3.03416 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-n^2-5*n-6)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A082505 10.6041 [-f(x)*(2*f(x)*x+4*x^2-f(x)+x) ogf] A082505 17.3287 [-x*(4*x+1)/(2*x-1) ogf] A082505 20.0023 [-1/4*x-1/8+1/8*(1+20*x+4*x^2)^(1/2) revogf] A082505 38.8933 [-6/(4*x+1)/(2*x-1) lgdogf] A082505 8.55996 [{-a(n+3)+2*a(n+2),a(0)=0,a(1)=1,a(2)=6} ogf] A082507 5.83138 [(x^4-2*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A082507 6.06775 [-x^3*(x^3+x^2+x^4-7*x+12)/(-1+x)/(x+1)/(1+x^2)/(x^4-2*x+2) lgdogf] A082530 6.69824 [-(9*x^12+18*x^11+34*x^10+66*x^9+13*x^8+24*x^7+46*x^6+9*x^5+16*x^4+3*x^3+4*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A082541 14.9872 [-3*f(x)*x+f(x)-4*x-1 ogf] A082541 18.2278 [-(4*x+1)/(3*x-1) ogf] A082541 18.8970 [-1/8-3/8*x+1/8*(1+22*x+9*x^2)^(1/2) revogf] A082541 34.8102 [-7/(4*x+1)/(-1+3*x) lgdogf] A082541 9.36704 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=7} ogf] A082545 3.24072 [{(4*n^4+38*n^3+128*n^2+184*n+96)*a(n+1)+(-n^3-4*n^2+4*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=21} ogf] A082545 8.11905 [-3+12*x+4*x^2+(1-8*x+16*x^3+12*x^2)*f(x)+(-8*x^3+16*x^4+x^2)*f(x)^2 lgdegf] A082556 28.2203 [30/(-x+1) ogf_with_Euler_transform] A082556 99.9999 Evaluated at exp(-Pi) 2048*exp(-5/4*Pi)/Pi^(15/2)*2^(1/4)*GAMMA(3/4)^30 A082557 28.6887 [32/(-x+1) ogf_with_Euler_transform] A082557 99.9999 Evaluated at exp(-Pi) 4096*exp(-4/3*Pi)/Pi^8*GAMMA(3/4)^32 A082558 24.3458 [48/(-x+1) ogf_with_Euler_transform] A082558 99.9999 Evaluated at exp(-Pi) 262144*exp(-2*Pi)/Pi^12*GAMMA(3/4)^48 A082559 26.2357 [64/(-x+1) ogf_with_Euler_transform] A082559 99.9999 Evaluated at exp(-Pi) 16777216*exp(-8/3*Pi)/Pi^16*GAMMA(3/4)^64 A082562 14.7980 [2*(1+2*x^2+x^5-3*x^4+2*x^3)/(x-1)/(x^5-x^4-x^3-x^2+x-1) lgdogf] A082562 9.76019 [(x^5-x^4-x^3-x^2+x-1)/(x-1)^3 ogf] A082564 13.1724 [-(2*x^3+2*x^2+3*x+2)/(-x^4+1) ogf_with_Euler_transform] A082564 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(1/2)*2^(5/8)/GAMMA(3/4)^2 A082569 10.7394 [1/3*(x^3-3*x+6)/(x-1)^2 egf] A082569 17.9744 [(x-3)*(x^2+3)/(x-1)/(x^3-3*x+6) lgdegf] A082569 6.12031 [(f(x)-2)*(3*f(x)*x^2-x^3-6*f(x)*x+3*f(x)+3*x-6) egf] A082574 17.0057 [1/(x-1)/(x^2+3*x-1) ogf] A082574 19.6151 [-(x+2)*(3*x-2)/(x-1)/(x^2+3*x-1) lgdogf] A082574 6.17020 [{-a(n+3)+4*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A082574 6.97233 [(69*f(x)-5)*(f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A082579 4.07627 [{(n^3+3*n^2+2*n)*a(n)+(-3*n^2-8*n-4)*a(n+1)+(3*n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A082579 51.5394 [-(x+1)/(x-1)^3 lgdegf] A082582 11.757 [-f(x)^2*x+f(x)*x^2+f(x)-1 ogf] A082582 20.6120 [-1/2*(-1+(1-4*x^2+4*x^3)^(1/2))/x revogf] A082585 13.8117 [1/(x-1)/(x^2+5*x-1) ogf] A082585 16.7910 [-(-6+8*x+3*x^2)/(x-1)/(x^2+5*x-1) lgdogf] A082585 5.01134 [{-a(n+3)+6*a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=32} ogf] A082585 5.55178 [(763*f(x)-15)*(f(x)*x^3+4*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A082587 12.9999 [-(1+8*x+2*x^6+2*x^5+x^4+12*x^3+7*x^2)/(2*x^3+x^2+x+3)/(x^4+x^2-1) lgdogf] A082587 13.2407 [-(2*x^3+x^2+x+3)/(x^4+x^2-1) ogf] A082587 8.35578 [(30*f(x)-67)*(f(x)*x^4+f(x)*x^2+2*x^3+x^2-f(x)+x+3) ogf] A082590 26.0648 [-4*(3*x-1)/(-1+4*x)/(-1+2*x) lgdogf] A082590 4.85521 [{(-n-3)*a(n+3)+(16+6*n)*a(n+2)+(-20-8*n)*a(n+1),a(0)=1,a(1)=4,a(2)=14} ogf] A082590 8.94995 [16*x^3*f(x)^2-20*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A082605 5.5943 [(2*f(x)-7)*(4*f(x)*x^3+2*x^4-4*f(x)*x^2-2*x^3-f(x)*x+6*x^2+f(x)-x-2) ogf] A082605 8.00705 [(-3-4*x+8*x^6+20*x^3-22*x^4-16*x^5+8*x^2)/(x-1)/(2*x+1)/(2*x-1)/(2*x^4-2*x^3+6*x^2-x-2) lgdogf] A082605 9.22697 [-(2*x^4-2*x^3+6*x^2-x-2)/(2*x-1)/(2*x+1)/(x-1) ogf] A082630 10.4423 [(x+1)^2/(x^4-4*x^2+1) ogf] A082630 14.1855 [-2*(-1-4*x+x^4+2*x^3)/(x+1)/(x^4-4*x^2+1) lgdogf] A082630 8.53284 [(142*f(x)+1)*(f(x)*x^4-4*f(x)*x^2-x^2+f(x)-2*x-1) ogf] A082639 10.0950 [-2*x*(x+1)/(x-1)/(x^2-6*x+1) ogf] A082639 12.8700 [-2*(4-7*x-2*x^2+x^3)/(x-1)/(x+1)/(x^2-6*x+1) lgdogf] A082639 5.13762 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=16} ogf] A082639 5.37771 [(4*f(x)+1)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+2*x^2-f(x)+2*x) ogf] A082642 8.31776 [-(x^6-x^5+2*x^3-x+1)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^3 ogf] A082642 8.68116 [-2*x*(1+5*x^7+2*x^5+4*x^4+4*x^3+4*x^2+x^10+6*x^6+3*x)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^6-x^5+2*x^3-x+1) lgdogf] A082643 10.9551 [-(3+6*x+2*x^6+6*x^5+9*x^4+14*x^3+2*x^7+6*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+x^2+x+1) lgdogf] A082643 9.85984 [-x*(x^4+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A082644 10.2291 [-x^2*(2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A082644 13.2527 [-(3+8*x+8*x^5+9*x^4+12*x^3+8*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^2+x+1) lgdogf] A082645 8.72824 [(x^5-2*x^4-x^3-2*x^2-x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A082645 9.00516 [-(1-4*x+x^8-5*x^6-12*x^5-10*x^4-10*x^3-2*x^7-7*x^2)/(x-1)/(x+1)/(1+x^2)/(x^5-2*x^4-x^3-2*x^2-x+1) lgdogf] A082651 11.3636 [(x+1)*(x^2+6*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A082651 6.69641 [-(7106*f(x)+1179)*(f(x)*x^4-18*f(x)*x^2-x^3-7*x^2+f(x)-7*x-1) ogf] A082667 12.9427 [-2*(1+2*x+4*x^3+3*x^4+2*x^5+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A082667 28.8590 [-x^3+2*x^2+2 ogf_with_Euler_transform] A082667 9.44394 [-x*(x+1)*(x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A082679 4.20052 [(f(x)-1)*(f(x)*x^4-3*f(x)*x^3+x^4+6*f(x)*x^2-2*x^3-5*f(x)*x+3*x^2+f(x)-x) ogf] A082679 7.28272 [-(2-8*x+x^6-4*x^5-12*x^3+9*x^4+14*x^2)/(x-1)/(x^3-2*x^2+3*x-1)/(x^3-2*x^2+4*x-1) lgdogf] A082679 7.31202 [-x*(x^3-2*x^2+3*x-1)/(x-1)/(x^3-2*x^2+4*x-1) ogf] A082685 13.1033 [-(3*x-1)/(5*x-1)/(2*x-1) ogf] A082685 13.7300 [-2*(2-10*x+15*x^2)/(-1+3*x)/(2*x-1)/(5*x-1) lgdogf] A082685 14.0569 [-1/2*(-1-7*x+(1+2*x+9*x^2)^(1/2))/(3+10*x) revogf] A082685 6.55167 [-(41*f(x)+23)*(10*f(x)*x^2-7*f(x)*x+f(x)+3*x-1) ogf] A082685 7.26208 [{a(n+2)-7*a(n+1)+10*a(n),a(0)=1,a(1)=4} ogf] A082724 11.6845 [-(5*x-1)/(11*x-1)/(3*x-1) ogf] A082724 12.2184 [-1/2*(-1-14*x+(1+8*x+64*x^2)^(1/2))/(5+33*x) revogf] A082724 12.5025 [-3*(3-22*x+55*x^2)/(3*x-1)/(5*x-1)/(11*x-1) lgdogf] A082724 5.84224 [-(664*f(x)+65)*(33*f(x)*x^2-14*f(x)*x+f(x)+5*x-1) ogf] A082724 6.53774 [{a(n+2)-14*a(n+1)+33*a(n),a(0)=1,a(1)=9} ogf] A082742 14.4755 [-2*(x^4-x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A082753 4.35929 [-x/(x-1)/(2*x-1)^2 ogf] A082753 7.10863 [-(-5+6*x)/(2*x-1)/(-1+x) lgdogf] A082759 6.90595 [3*f(x)^3*x^3+4*f(x)^3*x^2+20*f(x)^3*x-4*f(x)^3-2*f(x)*x+3*f(x)+1 ogf] A082761 13.7380 [-(2*x-1)/(4*x^2-6*x+1) ogf] A082761 14.4249 [-1/4*(-1-6*x+(1+4*x+20*x^2)^(1/2))/(2*x+1) revogf] A082761 15.9433 [-4*(1-2*x+2*x^2)/(2*x-1)/(4*x^2-6*x+1) lgdogf] A082761 6.86898 [-(21*f(x)-5)*(4*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A082761 7.53912 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=1,a(1)=4} ogf] A082762 15.6078 [(2*x+1)/(4*x^2-6*x+1) ogf] A082762 15.6775 [-1/4*(-1-6*x+(1+20*x+20*x^2)^(1/2))/(-1+2*x) revogf] A082762 19.7088 [-8*(-1+x+x^2)/(2*x+1)/(4*x^2-6*x+1) lgdogf] A082762 7.89158 [(105*f(x)+151)*(4*f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A082762 8.56524 [{-a(n+2)+6*a(n+1)-4*a(n),a(0)=1,a(1)=8} ogf] A082764 12.4178 [-(2*x-1)/(7*x^2-10*x+1) ogf] A082764 12.7146 [-1/2*(-1-10*x+(1+12*x+72*x^2)^(1/2))/(2+7*x) revogf] A082764 14.3447 [-2*(4-7*x+7*x^2)/(2*x-1)/(7*x^2-10*x+1) lgdogf] A082764 6.27716 [-(33*f(x)-1)*(7*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A082764 6.88218 [{a(n+2)-10*a(n+1)+7*a(n),a(0)=1,a(1)=8} ogf] A082766 11.2318 [(x+1)*(x^5+3*x^4-2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2-x-1)/(x^4+2*x^2-1) lgdogf] A082766 11.8044 [(x^2+1)*(x^2-x-1)/(x^4+2*x^2-1) ogf] A082766 6.08958 [{a(n+5)-2*a(n+3)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=4} ogf] A082766 8.2504 [f(x)*(f(x)*x^4-x^4+2*f(x)*x^2+x^3-f(x)+x+1) ogf] A082784 18.1738 [-1/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A082784 20.0446 [-7*x^6/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A082784 26.6559 [[x^6] ogf_with_Euler_transform] A082787 5.48430 [{(-27*n^3-189*n^2-438*n-336)*a(n+1)+(n+3)*a(n+2),a(0)=2,a(1)=60} ogf] A082799 10.5930 [3*(3*x^4+6*x^3+x^2+7*x+4)/(x-1)^2/(x^2+x+1)^2 ogf] A082799 9.62157 [-(7+2*x+6*x^6+18*x^5+4*x^4+47*x^3+42*x^2)/(-1+x)/(1+x^2+x)/(3*x^4+6*x^3+x^2+7*x+4) lgdogf] A082800 6.76529 [-(5+16*x+15*x^8+5*x^6+60*x^5+28*x^7+60*x^4+52*x^3+4*x^9+3*x^2)/(-1+x)/(x+1)/(x^2+1)/(2*x^6+5*x^5+7*x^4+x^3+8*x^2+5*x+3) lgdogf] A082800 8.73586 [4*(2*x^6+5*x^5+7*x^4+x^3+8*x^2+5*x+3)/(x^2+1)^2/(x-1)^2/(x+1)^2 ogf] A082801 6.22351 [6*(x^10+3*x^9+5*x^8+6*x^7+8*x^6+x^5+9*x^4+7*x^3+5*x^2+4*x+2)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A082802 5.56134 [7*(x^12+2*x^11+4*x^10+5*x^9+7*x^8+8*x^7+x^6+9*x^5+8*x^4+6*x^3+5*x^2+3*x+2)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A082803 4.93808 [8*(x^14+2*x^13+3*x^12+5*x^11+6*x^10+7*x^9+8*x^8+x^7+9*x^6+8*x^5+7*x^4+5*x^3+4*x^2+3*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A082804 4.44466 [9*(x^16+2*x^15+3*x^14+4*x^13+5*x^12+6*x^11+7*x^10+8*x^9+x^8+9*x^7+8*x^6+7*x^5+6*x^4+5*x^3+4*x^2+3*x+2)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A082840 11.7505 [-(-1-6*x+2*x^4-12*x^3+23*x^2)/(x-1)/(x^2-4*x+1)/(2*x^2-6*x+1) lgdogf] A082840 11.9108 [(2*x^2-6*x+1)/(x-1)/(x^2-4*x+1) ogf] A082840 6.10551 [-(229*f(x)-131)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-2*x^2-f(x)+6*x-1) ogf] A082840 6.48711 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=-1,a(1)=1,a(2)=8} ogf] A082841 14.4778 [-3*(x-1)/(x^2-4*x+1) ogf] A082841 15.5802 [-1/2*(-4*x-3+(12*x^2+12*x+9)^(1/2))/(x+3) revogf] A082841 21.2929 [-(3-2*x+x^2)/(x-1)/(x^2-4*x+1) lgdogf] A082841 7.08153 [-(112*f(x)-93)*(f(x)*x^2-4*f(x)*x+f(x)+3*x-3) ogf] A082841 7.94512 [{a(n+2)-4*a(n+1)+a(n),a(0)=3,a(1)=9} ogf] A082873 5.22983 [-(x^10-x^9+2*x^8+x^7-x^6+2*x^5-x^4+x^3+2*x^2-x+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A082874 4.69442 [(x^11-x^10-x^8-x^7-3*x^6-2*x^5-3*x^4-3*x^3-2*x^2-2*x-1)/(x+1)/(x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A082896 12.1409 [-(x^47+x^21-x^20+x^18+x^8+2)/(x-1) ogf] A082896 8.64555 [(-2-47*x^46+46*x^47-40*x^20+20*x^21-8*x^7+7*x^8+20*x^19-18*x^17+17*x^18)/(x-1)/(x^47+x^21-x^20+x^18+x^8+2) lgdogf] A082942 5.43929 [-(70*x^6+1125*x^5+4595*x^4+4490*x^3+1188*x^2+49*x+3)/(x-1)^7 ogf] A082958 4.39263 [-f(x)*(f(x)^2*x^4+x^3*f(x)^2+f(x)^2*x^2+f(x)*x^3-f(x)^2*x-f(x)*x^2+f(x)*x+x^2-f(x)+1) ogf] A082962 6.86798 [-(x+1)*(2*x^8-11*x^7+39*x^6-41*x^5+47*x^4+37*x^3+15*x^2+12*x+2)/(x^6+12*x^3-1)/(x^4-3*x^3+7*x^2+2*x+1) lgdogf] A082962 9.11328 [-x*(x^4-3*x^3+7*x^2+2*x+1)/(x^6+12*x^3-1) ogf] A082964 8.90858 [x*(x^19+x^16+x^13+x^9+x^6+x^3+1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A082966 4.29540 [x*(x^8-x^7-4*x^6-55*x^5-56*x^4-83*x^3-28*x^2-13*x-1)/(x+1)^4/(x-1)^7 ogf] A082975 6.70036 [-(3+20*x+125*x^4+72*x^3+16*x^7+3*x^8+x^10+6*x^5+15*x^6+39*x^2)/(x^6+12*x^3-1)/(x^5+x^3+10*x^2+3*x+1) lgdogf] A082975 9.23839 [-(x^4-2*x^3+3*x^2+x+1)/(x^6+12*x^3-1) ogf] A082977 8.68165 [x*(2*x^4+x+1)*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A082981 7.43594 [-2*(-1-2*x+x^10+2*x^9+3*x^8+4*x^7+6*x^6-12*x^3-6*x^4-3*x^2)/(x+1)/(x^2+1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) lgdogf] A082981 8.60319 [(x+1)^2*(x^2+1)^2/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A082986 10.1234 [-6*(x+1)^2/(x-1)^5 ogf] A082986 38.2623 [[7-2*x] ogf_with_Euler_transform] A082986 5.91150 [{(-n-3)*a(n+3)+7*a(n+2)+(4+n)*a(n+1),a(0)=6,a(1)=42,a(2)=156} ogf] A082987 12.9824 [3*x/(x-1)/(9*x^2+3*x-1) ogf] A082987 15.9704 [-(9*x+2)*(3*x-2)/(x-1)/(9*x^2+3*x-1) lgdogf] A082987 5.21613 [{-a(n+3)+4*a(n+2)+6*a(n+1)-9*a(n),a(0)=0,a(1)=3,a(2)=12} ogf] A082987 5.67191 [-(7*f(x)+4)*(9*f(x)*x^3-6*f(x)*x^2-4*f(x)*x+f(x)-3*x) ogf] A082988 12.8906 [4*x/(x-1)/(16*x^2+4*x-1) ogf] A082988 15.7033 [-(-5-24*x+48*x^2)/(x-1)/(16*x^2+4*x-1) lgdogf] A082988 5.31455 [{-a(n+3)+5*a(n+2)+12*a(n+1)-16*a(n),a(0)=0,a(1)=4,a(2)=20} ogf] A082988 5.77009 [-(5*f(x)+4)*(16*f(x)*x^3-12*f(x)*x^2-5*f(x)*x+f(x)-4*x) ogf] A082989 6.00643 [-x^3*f(x)^2+2*f(x)^2*x^2-2*f(x)^2*x-f(x)*x^2-x^2+f(x)+2*x-1 ogf] A082999 4.90967 [-(x^2+1)*(x^10+2*x^8-2*x^7+x^6+x^5+x^4-2*x^3+2*x^2+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A083026 8.52092 [x*(x+1)*(x^5+x^4+x^3+x^2+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083028 8.68165 [x*(x+1)*(x^5+2*x^4-x^3+3*x^2-x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083030 12.2618 [x*(5*x^2+3*x+4)/(x^2+x+1)/(x-1)^2 ogf] A083030 13.0824 [-(7+17*x+10*x^4+14*x^3+24*x^2)/(x-1)/(x^2+x+1)/(5*x^2+3*x+4) lgdogf] A083030 4.68835 [{(12*n+35)*a(n+1)+12*a(n+2)+12*a(n+3)+(-12*n-23)*a(n+4),a(0)=0,a(1)=4,a(2)=7,a(3)=12} ogf] A083030 6.27575 [-(22824*f(x)+58583)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-3*x^2+f(x)-4*x) ogf] A083031 12.1999 [x*(5*x^2+4*x+3)/(x^2+x+1)/(x-1)^2 ogf] A083031 13.0153 [-(7+17*x+21*x^2+17*x^3+10*x^4)/(x-1)/(x^2+x+1)/(5*x^2+4*x+3) lgdogf] A083031 4.77707 [{(-6*n-17)*a(n+1)-6*a(n+2)-6*a(n+3)+(6*n+11)*a(n+4),a(0)=0,a(1)=3,a(2)=7,a(3)=12} ogf] A083031 6.66382 [(180*f(x)-287)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-4*x^2+f(x)-3*x) ogf] A083032 11.0132 [x*(2*x^3+3*x^2+3*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A083032 9.53959 [-(7+13*x+17*x^4+28*x^3+11*x^5+4*x^6+16*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^3+3*x^2+3*x+4) lgdogf] A083033 8.68165 [x*(x^2+1)*(2*x^4+x^3+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083034 8.68165 [x*(x+1)*(2*x^5+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083039 11.9343 [-(3*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x-1)/(x+1) ogf] A083039 6.64085 [-(5*f(x)+13)*(f(x)*x^4+f(x)*x^3+3*x^3-f(x)*x+4*x^2-f(x)+3*x+1) ogf] A083039 9.70441 [-(2+8*x+3*x^6+8*x^5+16*x^3+13*x^4+16*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^3+4*x^2+3*x+1) lgdogf] A083040 6.22446 [-(4*x^5+5*x^4+7*x^3+5*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A083043 11.0904 [(x+1)/(x^2-20*x+1) ogf] A083043 11.6062 [-1/2*(-1-20*x+(1+44*x+396*x^2)^(1/2))/(x-1) revogf] A083043 15.1232 [-(-21+2*x+x^2)/(1+x)/(x^2-20*x+1) lgdogf] A083043 5.73209 [(418*f(x)+23)*(f(x)*x^2-20*f(x)*x+f(x)-x-1) ogf] A083043 6.07330 [{-a(n+2)+20*a(n+1)-a(n),a(0)=1,a(1)=21} ogf] A083049 4.07187 [-(2*x^12+x^11+x^10+2*x^9+x^8+x^7+2*x^6+3*x^4+2*x^2+x+1)*(x+1)^2/(x^2+x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083065 13.3945 [-(2*x-1)/(5*x-1)/(x-1) ogf] A083065 14.0569 [-1/2*(-1-6*x+(1+4*x+16*x^2)^(1/2))/(2+5*x) revogf] A083065 15.5365 [-2*(2-5*x+5*x^2)/(x-1)/(2*x-1)/(5*x-1) lgdogf] A083065 6.77251 [-(7*f(x)+1)*(5*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A083065 7.35065 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=1,a(1)=4} ogf] A083066 13.3282 [-(2*x-1)/(6*x-1)/(x-1) ogf] A083066 13.9903 [-1/4*(-1-7*x+(1+6*x+25*x^2)^(1/2))/(1+3*x) revogf] A083066 15.0665 [-(5-12*x+12*x^2)/(x-1)/(6*x-1)/(-1+2*x) lgdogf] A083066 6.66412 [-(23*f(x)+2)*(6*f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A083066 7.31427 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=1,a(1)=5} ogf] A083067 12.7818 [-(2*x-1)/(7*x-1)/(x-1) ogf] A083067 13.4095 [-1/2*(-1-8*x+(1+8*x+36*x^2)^(1/2))/(2+7*x) revogf] A083067 14.4410 [-2*(3-7*x+7*x^2)/(x-1)/(-1+2*x)/(7*x-1) lgdogf] A083067 6.3909 [-(17*f(x)+1)*(7*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A083067 7.01439 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=1,a(1)=6} ogf] A083068 13.5806 [-(2*x-1)/(8*x-1)/(x-1) ogf] A083068 13.9336 [-1/4*(-1-9*x+(1+10*x+49*x^2)^(1/2))/(1+4*x) revogf] A083068 15.7670 [-(7-16*x+16*x^2)/(x-1)/(8*x-1)/(2*x-1) lgdogf] A083068 6.79033 [-(47*f(x)+2)*(8*f(x)*x^2-9*f(x)*x+f(x)+2*x-1) ogf] A083068 7.45279 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=1,a(1)=7} ogf] A083074 10.6974 [(2*x^3+3*x^2+2*x-1)/(x-1)^4 ogf] A083074 17.3655 [-2*(-1+6*x+x^3+6*x^2)/(x-1)/(2*x^3+3*x^2+2*x-1) lgdogf] A083074 4.45245 [{(23*n^2+3*n-86)*a(n+1)+(68*n^2+632*n+668)*a(n+2)+(-91*n^2-293*n-60)*a(n+3),a(0)=-1,a(1)=-2,a(2)=1} ogf] A083074 5.52821 [-(18738*f(x)+26471)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-3*x^2+f(x)-2*x+1) ogf] A083076 14.1401 [-(3*x-1)/(7*x-1)/(x-1) ogf] A083076 14.8602 [-1/2*(-1-8*x+(1+4*x+36*x^2)^(1/2))/(3+7*x) revogf] A083076 16.4244 [-(5-14*x+21*x^2)/(x-1)/(3*x-1)/(7*x-1) lgdogf] A083076 7.07006 [-(26*f(x)-1)*(7*f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A083076 7.75982 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=1,a(1)=5} ogf] A083077 11.6845 [-(3*x-1)/(11*x-1)/(x-1) ogf] A083077 11.6871 [-1/2*(-1-12*x+(1+12*x+100*x^2)^(1/2))/(3+11*x) revogf] A083077 13.7848 [-(9-22*x+33*x^2)/(x-1)/(3*x-1)/(11*x-1) lgdogf] A083077 5.96925 [-(86*f(x)-5)*(11*f(x)*x^2-12*f(x)*x+f(x)+3*x-1) ogf] A083077 6.53774 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=1,a(1)=9} ogf] A083078 10.8401 [-1/2*(-1-14*x+(1+16*x+144*x^2)^(1/2))/(3+13*x) revogf] A083078 10.8506 [-(3*x-1)/(13*x-1)/(x-1) ogf] A083078 5.48364 [-(128*f(x)-7)*(13*f(x)*x^2-14*f(x)*x+f(x)+3*x-1) ogf] A083078 5.99974 [{a(n+2)-14*a(n+1)+13*a(n),a(0)=1,a(1)=11} ogf] A083079 13.9479 [-(63+143*x+5*x^3-19*x^2)/(x-1)/(5*x^3-17*x^2+59*x+1) lgdogf] A083079 3.57253 [{(688*n^2+4465*n+6178)*a(n+1)+(-3244*n^2-22946*n-39027)*a(n+2)+(2556*n^2+12877*n+15627)*a(n+3),a(0)=1,a(1)=63,a(2)=229} ogf] A083079 4.86521 [(2982960*f(x)+79557659)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x+17*x^2+f(x)-59*x-1) ogf] A083079 9.36092 [(5*x^3-17*x^2+59*x+1)/(x-1)^4 ogf] A083085 15.6784 [-(3*x+1)/(5*x+1)/(x-1) ogf] A083085 17.8281 [1/2/(3+5*x)*(-1+4*x+(1+4*x+36*x^2)^(1/2)) revogf] A083085 18.7423 [-(-1+10*x+15*x^2)/(x-1)/(5*x+1)/(3*x+1) lgdogf] A083085 7.75305 [-(86*f(x)-85)*(5*f(x)*x^2-4*f(x)*x-f(x)+3*x+1) ogf] A083085 8.60399 [{a(n+2)+4*a(n+1)-5*a(n),a(0)=1,a(1)=-1} ogf] A083086 11.5843 [8*f(x)*x^2-2*f(x)*x-f(x)+2*x+1 ogf] A083086 16.2181 [-(2*x+1)/(4*x+1)/(2*x-1) ogf] A083086 18.5155 [1/4*(-1+2*x+(1+4*x+36*x^2)^(1/2))/(1+4*x) revogf] A083086 9.01005 [{-a(n+2)-2*a(n+1)+8*a(n),a(0)=1,a(1)=0} ogf] A083089 8.52092 [x*(x^4+x^3+2)*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083098 14.5207 [(x-1)/(6*x^2+2*x-1) ogf] A083098 17.7933 [-(-1-12*x+6*x^2)/(x-1)/(6*x^2+2*x-1) lgdogf] A083098 7.51071 [(70*f(x)-69)*(6*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A083098 7.96870 [{-a(n+2)+2*a(n+1)+6*a(n),a(0)=1,a(1)=1} ogf] A083099 10.5295 [-6*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A083099 16.7904 [-x/(6*x^2+2*x-1) ogf] A083099 16.9885 [1/12/x*(-2*x-1+(1+4*x+28*x^2)^(1/2)) revogf] A083099 25.4828 [-2*(1+6*x)/(6*x^2-1+2*x) lgdogf] A083099 7.66968 [{-a(n+2)+2*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A083100 14.6190 [-(7*x+1)/(7*x^2+2*x-1) ogf] A083100 15.7352 [1/14*(-2*x-1+(1+32*x+32*x^2)^(1/2))/(1+x) revogf] A083100 16.9775 [-(9+14*x+49*x^2)/(7*x+1)/(7*x^2+2*x-1) lgdogf] A083100 7.56158 [(32*f(x)+49)*(7*f(x)*x^2+2*f(x)*x-f(x)+7*x+1) ogf] A083100 8.02263 [{a(n+2)-2*a(n+1)-7*a(n),a(0)=1,a(1)=9} ogf] A083101 12.5615 [-(10*x+1)/(10*x^2+2*x-1) ogf] A083101 14.0982 [1/20*(-2*x-1+(1+44*x+44*x^2)^(1/2))/(1+x) revogf] A083101 14.0982 [-4*(3+5*x+25*x^2)/(1+10*x)/(10*x^2+2*x-1) lgdogf] A083101 6.63359 [(11*f(x)+25)*(10*f(x)*x^2+2*f(x)*x-f(x)+10*x+1) ogf] A083101 7.02844 [{a(n+2)-2*a(n+1)-10*a(n),a(0)=1,a(1)=12} ogf] A083102 16.5484 [1/20/x*(-2*x-1+(1+4*x+44*x^2)^(1/2)) revogf] A083102 17.8907 [-1/(10*x^2+2*x-1) ogf] A083102 22.9132 [-2*(1+10*x)/(10*x^2-1+2*x) lgdogf] A083102 7.2415 [(59*f(x)-55)*(10*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A083102 7.32873 [{-a(n+2)+2*a(n+1)+10*a(n),a(0)=1,a(1)=2} ogf] A083105 3.4004 [-(174739995751685369*f(x)-8498781306311516441688577849573208)*(f(x)*x^2+f(x)*x-f(x)-13174844261034202*x+62638280004239857) ogf] A083120 8.52092 [x*(2*x^6+x^5+2*x^4+2*x^3+x^2+2*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A083127 11.5936 [-2*x^2*(x-10)/(x-1)^4 ogf] A083127 36.5534 [-3*(x-13)/(x-1)/(x-10) lgdogf] A083127 5.30427 [{(-10-10*n)*a(n+3)+(39+11*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=20} ogf] A083127 5.59692 [-(329508*f(x)+2997541)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-20*x^2+f(x)) ogf] A083178 7.83067 [(90*x^6+10*x^4+11*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(10*x^3-1) ogf] A083196 11.1483 [-(19+218*x+19*x^4+218*x^3+486*x^2)/(x-1)/(19*x^4+71*x^3+91*x^2+9*x+2) lgdogf] A083196 7.99202 [-(19*x^4+71*x^3+91*x^2+9*x+2)/(x-1)^5 ogf] A083200 11.0944 [-(17+100*x+44*x^3+3*x^4+130*x^2)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A083200 4.15591 [{(-n^2-5*n-6)*a(n+1)+(2*n^2+10*n+42)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=17} ogf] A083200 6.09533 [-x*(x^4+10*x^3+20*x^2+10*x+1)/(x-1)^7 ogf] A083205 8.63984 [8-12*f(x)+6*f(x)^2-f(x)^3 lgdegf] A083216 3.71842 [-(45026113772678533*f(x)-913843448130463905317245459861661)*(f(x)*x^2+f(x)*x-f(x)-16820908843987997*x+20615674205555510) ogf] A083216 5.56118 [{-a(n+2)+a(n+1)+a(n),a(0)=20615674205555510,a(1)=3794765361567513} ogf] A083216 8.16121 [(16820908843987997*x-20615674205555510)/(x^2+x-1) ogf] A083217 13.3945 [(x-1)/(x+1)/(5*x-1) ogf] A083217 14.3997 [1/2/(5*x-1)*(-1-4*x+(1+4*x+36*x^2)^(1/2)) revogf] A083217 16.3997 [-(-3-10*x+5*x^2)/(x-1)/(5*x-1)/(x+1) lgdogf] A083217 6.77251 [(334*f(x)-253)*(5*f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A083217 7.35065 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=1,a(1)=3} ogf] A083219 12.3610 [-x*(x^3-x^2-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A083219 13.8969 [-2*(x^2-2*x-1)*(x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^3-x^2-x-1) lgdogf] A083219 8.93421 [f(x)*x^5-f(x)*x^4+x^4-x^3-f(x)*x-x^2+f(x)-x ogf] A083220 12.3028 [-2*x*(x^3-x^2-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A083220 13.8324 [-2*(x^2-2*x-1)*(x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^3-x^2-x-1) lgdogf] A083220 8.89208 [f(x)*x^5-f(x)*x^4+2*x^4-2*x^3-f(x)*x-2*x^2+f(x)-2*x ogf] A083222 14.3513 [-(3*x+1)/(5*x-1)/(5*x+1) ogf] A083222 14.3997 [-(5*x+3)*(15*x+1)/(5*x+1)/(3*x+1)/(5*x-1) lgdogf] A083222 14.3997 [-1/5*arcsinh(3/4)+1/5*arcsinh(25/4*x+3/4) revegf] A083222 8.14531 [-(50*f(x)-41)*(25*f(x)*x^2-f(x)+3*x+1) ogf] A083222 9.27312 [{-a(n+2)+25*a(n),a(0)=1,a(1)=3} ogf] A083223 10.1309 [-1/6*arcsinh(2/5*5^(1/2))+1/6*arcsinh(2/5*5^(1/2)*(1+9*x)) revegf] A083223 13.9903 [-4*(1+18*x+36*x^2)/(6*x-1)/(4*x+1)/(6*x+1) lgdogf] A083223 14.2802 [-(4*x+1)/(6*x-1)/(6*x+1) ogf] A083223 8.33015 [(117*f(x)-101)*(36*f(x)*x^2-f(x)+4*x+1) ogf] A083223 9.22723 [{-a(n+2)+36*a(n),a(0)=1,a(1)=4} ogf] A083224 13.7661 [-(5*x+1)/(7*x-1)/(7*x+1) ogf] A083224 13.8096 [-(5+98*x+245*x^2)/(5*x+1)/(7*x+1)/(7*x-1) lgdogf] A083224 14.1548 [1/2/(5+49*x)*(-1+(1+20*x+196*x^2)^(1/2)) revogf] A083224 7.81319 [-(98*f(x)-73)*(49*f(x)*x^2-f(x)+5*x+1) ogf] A083224 8.89502 [{-a(n+2)+49*a(n),a(0)=1,a(1)=5} ogf] A083225 10.2058 [-1/8*arcsinh(3/7*7^(1/2))+1/8*arcsinh(1/7*7^(1/2)*(3+32*x)) revegf] A083225 14.0033 [-2*(3+64*x+192*x^2)/(8*x-1)/(8*x+1)/(6*x+1) lgdogf] A083225 14.6220 [-(6*x+1)/(8*x-1)/(8*x+1) ogf] A083225 8.29899 [-(32*f(x)-23)*(64*f(x)*x^2-f(x)+6*x+1) ogf] A083225 9.44808 [{-a(n+2)+64*a(n),a(0)=1,a(1)=6} ogf] A083226 13.3201 [-(7+162*x+567*x^2)/(9*x+1)/(7*x+1)/(9*x-1) lgdogf] A083226 13.6005 [-(7*x+1)/(9*x-1)/(9*x+1) ogf] A083226 13.9861 [1/2/(81*x+7)*(-1+(1+324*x^2+28*x)^(1/2)) revogf] A083226 7.51607 [-(162*f(x)-113)*(81*f(x)*x^2-f(x)+7*x+1) ogf] A083226 8.78802 [{-a(n+2)+81*a(n),a(0)=1,a(1)=7} ogf] A083227 11.4972 [-8*(5*x+1)*(20*x+1)/(10*x+1)/(8*x+1)/(10*x-1) lgdogf] A083227 12.0320 [-1/10*arcsinh(4/3)+1/10*arcsinh(50/3*x+4/3) revegf] A083227 12.3009 [-(8*x+1)/(10*x-1)/(10*x+1) ogf] A083227 7.05251 [-(25*f(x)-17)*(100*f(x)*x^2-f(x)+8*x+1) ogf] A083227 8.01421 [{-a(n+2)+100*a(n),a(0)=1,a(1)=8} ogf] A083229 15.1994 [-(3*x+1)/(5*x+1)/(3*x-1) ogf] A083229 17.5955 [1/6*(-1+2*x+(8*x+1+64*x^2)^(1/2))/(1+5*x) revogf] A083229 18.0354 [-(1+30*x+45*x^2)/(5*x+1)/(3*x-1)/(3*x+1) lgdogf] A083229 7.76858 [(184*f(x)-183)*(15*f(x)*x^2-2*f(x)*x-f(x)+3*x+1) ogf] A083229 8.42375 [{-a(n+2)-2*a(n+1)+15*a(n),a(0)=1,a(1)=1} ogf] A083230 8.61994 [-(2*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A083231 13.1033 [-(x+1)/(3*x+1)/(5*x-1) ogf] A083231 14.0569 [1/2/(15*x+1)*(-2*x-1+(8*x+1+64*x^2)^(1/2)) revogf] A083231 15.1382 [-3*(1+10*x+5*x^2)/(3*x+1)/(5*x-1)/(x+1) lgdogf] A083231 6.84947 [(64*f(x)-55)*(15*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A083231 7.26208 [{-a(n+2)+2*a(n+1)+15*a(n),a(0)=1,a(1)=3} ogf] A083232 12.7818 [(x-1)/(x+1)/(7*x-1) ogf] A083232 13.7365 [1/2/(7*x-1)*(-1-6*x+(8*x+1+64*x^2)^(1/2)) revogf] A083232 15.6444 [-(-5-14*x+7*x^2)/(x-1)/(7*x-1)/(x+1) lgdogf] A083232 6.32067 [-(44*f(x)-19)*(7*f(x)*x^2+6*f(x)*x-f(x)-x+1) ogf] A083232 7.01439 [{-a(n+2)+6*a(n+1)+7*a(n),a(0)=1,a(1)=5} ogf] A083233 15.0873 [-8*f(x)*x+f(x)+2*x-1 ogf] A083233 18.3494 [(2*x-1)/(8*x-1) ogf] A083233 20.8359 [1/4+2*x-1/4*(8*x+1+64*x^2)^(1/2) revogf] A083233 39.2206 [6/(8*x-1)/(2*x-1) lgdogf] A083233 9.42956 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=6} ogf] A083234 12.1536 [-(4*x-1)/(10*x-1)/(2*x-1) ogf] A083234 13.0103 [-1/8*(-1-12*x+(8*x+1+64*x^2)^(1/2))/(1+5*x) revogf] A083234 13.0103 [-8*(1-5*x+10*x^2)/(-1+4*x)/(2*x-1)/(10*x-1) lgdogf] A083234 6.07682 [-(281*f(x)-25)*(20*f(x)*x^2-12*f(x)*x+f(x)+4*x-1) ogf] A083234 6.80025 [{a(n+2)-12*a(n+1)+20*a(n),a(0)=1,a(1)=8} ogf] A083292 5.75132 [-x*(10*x^19+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A083294 14.9520 [-(7*x+1)/(9*x+1)/(x-1) ogf] A083294 16.0722 [1/2/(7+9*x)*(-1+8*x+(1+12*x+100*x^2)^(1/2)) revogf] A083294 17.7207 [-(3*x+1)*(21*x-1)/(x-1)/(7*x+1)/(9*x+1) lgdogf] A083294 7.23483 [-(298*f(x)-297)*(9*f(x)*x^2-8*f(x)*x-f(x)+7*x+1) ogf] A083294 8.20535 [{a(n+2)+8*a(n+1)-9*a(n),a(0)=1,a(1)=-1} ogf] A083295 13.8327 [-(6*x+1)/(8*x+1)/(2*x-1) ogf] A083295 15.2226 [1/4*(-1+6*x+(1+12*x+100*x^2)^(1/2))/(8*x+3) revogf] A083295 17.6911 [-32*x*(3*x+1)/(8*x+1)/(2*x-1)/(1+6*x) lgdogf] A083295 7.75982 [{-a(n+2)-6*a(n+1)+16*a(n),a(0)=1,a(1)=0} ogf] A083295 9.94227 [16*f(x)*x^2-6*f(x)*x-f(x)+6*x+1 ogf] A083296 14.6488 [-(5*x+1)/(7*x+1)/(3*x-1) ogf] A083296 15.7362 [1/2/(5+21*x)*(-1+4*x+(1+12*x+100*x^2)^(1/2)) revogf] A083296 16.8876 [-(1+42*x+105*x^2)/(5*x+1)/(7*x+1)/(3*x-1) lgdogf] A083296 7.48719 [(310*f(x)-309)*(21*f(x)*x^2-4*f(x)*x-f(x)+5*x+1) ogf] A083296 8.11864 [{-a(n+2)-4*a(n+1)+21*a(n),a(0)=1,a(1)=1} ogf] A083297 14.9277 [-(4*x+1)/(6*x+1)/(4*x-1) ogf] A083297 16.3337 [1/8*(-1+2*x+(1+12*x+100*x^2)^(1/2))/(1+6*x) revogf] A083297 16.3337 [-2*(1+24*x+48*x^2)/(-1+4*x)/(1+4*x)/(1+6*x) lgdogf] A083297 7.8031 [(31*f(x)-30)*(24*f(x)*x^2-2*f(x)*x-f(x)+4*x+1) ogf] A083297 8.27316 [{-a(n+2)-2*a(n+1)+24*a(n),a(0)=1,a(1)=2} ogf] A083298 2.27783 [(850*f(x)-769)*(25*f(x)*x^2-f(x)+3*x+1) ogf] A083298 3.90486 [-(3*x+1)/(5*x-1)/(5*x+1) ogf] A083299 13.0385 [-(2*x+1)/(4*x+1)/(6*x-1) ogf] A083299 13.3544 [1/4*(-2*x-1+(1+12*x+100*x^2)^(1/2))/(1+12*x) revogf] A083299 13.9903 [-4*(1+12*x+12*x^2)/(6*x-1)/(2*x+1)/(4*x+1) lgdogf] A083299 6.89392 [(11*f(x)-9)*(24*f(x)*x^2+2*f(x)*x-f(x)+2*x+1) ogf] A083299 7.22614 [{-a(n+2)+2*a(n+1)+24*a(n),a(0)=1,a(1)=4} ogf] A083300 12.5039 [-(x+1)/(3*x+1)/(7*x-1) ogf] A083300 12.7999 [1/2/(21*x+1)*(-1-4*x+(1+12*x+100*x^2)^(1/2)) revogf] A083300 14.8210 [-(5+42*x+21*x^2)/(3*x+1)/(7*x-1)/(x+1) lgdogf] A083300 6.25196 [-(62*f(x)-37)*(21*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A083300 6.92988 [{-a(n+2)+4*a(n+1)+21*a(n),a(0)=1,a(1)=5} ogf] A083301 15.7670 [1/32/x*(-1-6*x+(1+12*x+100*x^2)^(1/2)) revogf] A083301 17.9744 [-1/(2*x+1)/(8*x-1) ogf] A083301 22.1906 [-2*(3+16*x)/(2*x+1)/(8*x-1) lgdogf] A083301 7.02448 [-(17*f(x)-8)*(16*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A083301 7.36300 [{-a(n+2)+6*a(n+1)+16*a(n),a(0)=1,a(1)=6} ogf] A083302 12.6938 [(x-1)/(x+1)/(9*x-1) ogf] A083302 12.7146 [1/2/(-1+9*x)*(-1-8*x+(1+12*x+100*x^2)^(1/2)) revogf] A083302 15.5401 [-(3*x+1)*(3*x-7)/(x-1)/(9*x-1)/(x+1) lgdogf] A083302 6.27716 [(4666*f(x)-2265)*(9*f(x)*x^2+8*f(x)*x-f(x)-x+1) ogf] A083302 6.96611 [{-a(n+2)+8*a(n+1)+9*a(n),a(0)=1,a(1)=7} ogf] A083313 12.1103 [(3*x^2-3*x+1)/(3*x-1)/(2*x-1) ogf] A083313 14.2912 [(2-6*x+3*x^2)/(3*x-1)/(-1+2*x)/(3*x^2-3*x+1) lgdogf] A083313 6.29261 [{-a(n+3)+5*a(n+2)-6*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A083313 8.82054 [f(x)*(6*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A083314 10.3917 [-(7*x^2-5*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A083314 5.59555 [-(5*f(x)+7)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A083314 5.69285 [{-a(n+3)+8*a(n+2)-19*a(n+1)+12*a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A083314 9.17094 [-3*(2*x-1)*(14*x^3-13*x^2+6*x-1)/(x-1)/(-1+3*x)/(-1+4*x)/(7*x^2-5*x+1) lgdogf] A083315 4.92556 [-(362*f(x)+493)*(40*f(x)*x^3-38*f(x)*x^2+11*f(x)*x+13*x^2-f(x)-7*x+1) ogf] A083315 5.22279 [{a(n+3)-11*a(n+2)+38*a(n+1)-40*a(n),a(0)=1,a(1)=4,a(2)=19} ogf] A083315 8.02000 [-(4-50*x+243*x^2-560*x^3+520*x^4)/(-1+4*x)/(-1+2*x)/(5*x-1)/(13*x^2-7*x+1) lgdogf] A083315 9.32068 [-(13*x^2-7*x+1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A083316 4.87619 [-(411*f(x)+643)*(90*f(x)*x^3-63*f(x)*x^2+14*f(x)*x+21*x^2-f(x)-9*x+1) ogf] A083316 5.17043 [{a(n+3)-14*a(n+2)+63*a(n+1)-90*a(n),a(0)=1,a(1)=5,a(2)=28} ogf] A083316 7.94044 [-(5-84*x+543*x^2-1620*x^3+1890*x^4)/(6*x-1)/(3*x-1)/(5*x-1)/(21*x^2-9*x+1) lgdogf] A083316 9.22723 [-(21*x^2-9*x+1)/(6*x-1)/(3*x-1)/(5*x-1) ogf] A083318 14.2873 [-(2*x^2-1)/(2*x-1)/(x-1) ogf] A083318 18.0583 [-(3-8*x+6*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A083318 6.86352 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=5} ogf] A083318 7.52773 [-(f(x)+8)*(2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-1) ogf] A083319 10.4422 [-(2*x^2-4*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A083319 5.43684 [-(83*f(x)+1009)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A083319 5.72049 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=5,a(2)=21} ogf] A083320 4.97582 [-(157*f(x)+2443)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x+7*x^2-f(x)-6*x+1) ogf] A083320 5.27609 [{a(n+3)-12*a(n+2)+47*a(n+1)-60*a(n),a(0)=1,a(1)=6,a(2)=32} ogf] A083320 8.10354 [-2*(3-40*x+189*x^2-360*x^3+210*x^4)/(-1+4*x)/(3*x-1)/(5*x-1)/(7*x^2-6*x+1) lgdogf] A083320 9.56291 [-(7*x^2-6*x+1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A083321 12.0389 [(7*x^2+6*x+1)/(2*x+1)/(3*x+1)/(x+1) ogf] A083321 6.66440 [{-a(n+3)-6*a(n+2)-11*a(n+1)-6*a(n),a(0)=1,a(1)=0,a(2)=-4} ogf] A083321 8.29349 [-6*f(x)*x^3-11*f(x)*x^2-6*f(x)*x+7*x^2-f(x)+6*x+1 ogf] A083322 13.2499 [-(2*x^2+1)/(x^2-x+1)/(x+1)/(2*x-1) ogf] A083322 6.45509 [-(5751*f(x)+5992)*(2*f(x)*x^4-f(x)*x^3+2*f(x)*x+2*x^2-f(x)+1) ogf] A083322 9.22447 [-(2+4*x+8*x^5+8*x^3-2*x^4-7*x^2)/(2*x-1)/(x+1)/(x^2-x+1)/(2*x^2+1) lgdogf] A083323 10.3524 [-(5*x^2-4*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A083323 5.53315 [-(2*f(x)+1)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-4*x+1) ogf] A083323 5.68005 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A083323 9.24725 [-2*(1-6*x+16*x^2-24*x^3+15*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(5*x^2-4*x+1) lgdogf] A083324 10.1797 [-(10*x^2-6*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A083324 5.61639 [(83*f(x)+29)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+10*x^2-f(x)-6*x+1) ogf] A083324 5.66522 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A083324 8.63227 [-(3-32*x-288*x^3+240*x^4+138*x^2)/(-1+4*x)/(-1+3*x)/(2*x-1)/(10*x^2-6*x+1) lgdogf] A083325 5.22279 [{a(n+3)-12*a(n+2)+47*a(n+1)-60*a(n),a(0)=1,a(1)=4,a(2)=18} ogf] A083325 6.22144 [(157*f(x)+53)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x+17*x^2-f(x)-8*x+1) ogf] A083325 8.02000 [-4*(1-15*x+88*x^2-240*x^3+255*x^4)/(-1+4*x)/(3*x-1)/(5*x-1)/(17*x^2-8*x+1) lgdogf] A083325 9.32068 [-(17*x^2-8*x+1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A083326 4.93162 [(827*f(x)+277)*(120*f(x)*x^3-74*f(x)*x^2+15*f(x)*x+26*x^2-f(x)-10*x+1) ogf] A083326 5.10022 [{a(n+3)-15*a(n+2)+74*a(n+1)-120*a(n),a(0)=1,a(1)=5,a(2)=27} ogf] A083326 7.69142 [-(5-96*x+710*x^2-2400*x^3+3120*x^4)/(6*x-1)/(-1+4*x)/(5*x-1)/(26*x^2-10*x+1) lgdogf] A083326 8.90636 [-(26*x^2-10*x+1)/(6*x-1)/(4*x-1)/(5*x-1) ogf] A083327 4.11413 [(98*f(x)+41)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2-13*x^3-14*f(x)*x+7*x^2+f(x)-x) ogf] A083327 6.11631 [-(-7+116*x-777*x^2+2636*x^3-4522*x^4+3120*x^5)/(4*x-1)/(3*x-1)/(-1+2*x)/(5*x-1)/(13*x^2-7*x+1) lgdogf] A083327 7.30259 [x*(13*x^2-7*x+1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A083328 3.86184 [{a(n+4)-18*a(n+3)+119*a(n+2)-342*a(n+1)+360*a(n),a(0)=0,a(1)=1,a(2)=9,a(3)=64} ogf] A083328 3.96838 [(222*f(x)+121)*(360*f(x)*x^4-342*f(x)*x^3+119*f(x)*x^2-21*x^3-18*f(x)*x+9*x^2+f(x)-x) ogf] A083328 5.89876 [-(-9+196*x-1719*x^2+7596*x^3-16902*x^4+15120*x^5)/(6*x-1)/(4*x-1)/(3*x-1)/(5*x-1)/(21*x^2-9*x+1) lgdogf] A083328 7.10388 [x*(21*x^2-9*x+1)/(6*x-1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A083329 14.3159 [(x^2-x+1)/(2*x-1)/(x-1) ogf] A083329 18.9211 [-(-2+2*x+x^2)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A083329 7.43866 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A083329 8.92638 [f(x)*(2*f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1) ogf] A083330 5.26217 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A083330 5.30834 [(2*f(x)-11)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A083330 8.23066 [-(4-38*x+139*x^2-240*x^3+168*x^4)/(3*x-1)/(2*x-1)/(-1+4*x)/(7*x^2-5*x+1) lgdogf] A083330 9.60556 [-(7*x^2-5*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A083331 5.09262 [-(17*f(x)+277)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x+13*x^2-f(x)-7*x+1) ogf] A083331 5.35603 [{a(n+3)-12*a(n+2)+47*a(n+1)-60*a(n),a(0)=1,a(1)=5,a(2)=26} ogf] A083331 8.34157 [-(5-68*x+780*x^4-840*x^3+353*x^2)/(-1+4*x)/(3*x-1)/(5*x-1)/(13*x^2-7*x+1) lgdogf] A083331 9.55845 [-(13*x^2-7*x+1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A083332 5.91284 [(387*f(x)+827)*(16*f(x)*x^4-10*f(x)*x^2+16*x^3-4*x^2+f(x)-5*x-1) ogf] A083332 7.27390 [-(5+28*x+256*x^6+2*x^2-64*x^3-80*x^4-128*x^5)/(2*x^2-1)/(8*x^2-1)/(16*x^3-4*x^2-5*x-1) lgdogf] A083332 9.39100 [-(16*x^3-4*x^2-5*x-1)/(2*x^2-1)/(8*x^2-1) ogf] A083333 10.9489 [-(4*x^2-x-1)/(2*x^2-1)/(8*x^2-1) ogf] A083333 6.39588 [-(43*f(x)+16)*(16*f(x)*x^4-10*f(x)*x^2+4*x^2+f(x)-x-1) ogf] A083333 9.04002 [-(1+12*x+10*x^2-64*x^3-48*x^4+128*x^5)/(2*x^2-1)/(4*x^2-x-1)/(8*x^2-1) lgdogf] A083334 5.60429 [(11726*f(x)+29985)*(25*f(x)*x^4-12*f(x)*x^2+25*x^3-5*x^2+f(x)-6*x-1) ogf] A083334 7.14891 [-(6+34*x-3*x^2-100*x^3-150*x^4-250*x^5+625*x^6)/(25*x^3-5*x^2-6*x-1)/(25*x^4-12*x^2+1) lgdogf] A083334 9.23062 [-(25*x^3-5*x^2-6*x-1)/(25*x^4-12*x^2+1) ogf] A083335 11.4516 [-(5*x^2-x-1)/(25*x^4-12*x^2+1) ogf] A083335 6.4966 [-(1066*f(x)+475)*(25*f(x)*x^4-12*f(x)*x^2+5*x^2+f(x)-x-1) ogf] A083335 9.60093 [-(1+14*x-100*x^3-75*x^4+250*x^5+12*x^2)/(5*x^2-x-1)/(25*x^4-12*x^2+1) lgdogf] A083336 11.4671 [-(1+6*x+4*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-4*x^2+1) lgdogf] A083336 11.5069 [-3*(x^2-x-1)/(x^4-4*x^2+1) ogf] A083336 6.90412 [(82*f(x)+21)*(f(x)*x^4-4*f(x)*x^2+3*x^2+f(x)-3*x-3) ogf] A083337 13.8081 [1/4*(-3-2*x+(3+4*x+4*x^2)^(1/2)*3^(1/2))/x revogf] A083337 14.5508 [-2*f(x)*x^2-2*f(x)*x+f(x)-3*x ogf] A083337 15.9383 [-3*x/(2*x^2+2*x-1) ogf] A083337 24.1642 [-2*(2*x+1)/(2*x^2-1+2*x) lgdogf] A083337 7.28044 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=0,a(1)=3} ogf] A083363 11.6697 [(7+15*x+17*x^3+10*x^4+47*x^2)/(x-1)/(x+1)/(x^5-x^4-7*x^3-2*x^2-6*x-1) lgdogf] A083363 8.12568 [(x^5-x^4-7*x^3-2*x^2-6*x-1)/(x+1)^2/(x-1)^3 ogf] A083364 6.70864 [(x^5+6*x^4+3*x^3+9*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A083364 9.05835 [-(5+29*x+19*x^5+2*x^6+72*x^3+23*x^4+42*x^2)/(x-1)/(x+1)/(x^5+6*x^4+3*x^3+9*x^2+4*x+1) lgdogf] A083365 15.3387 [-(-x+1)/(x^3+x^2+x+1) ogf_with_Euler_transform] A083365 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*2^(3/8) A083374 10.4957 [-6*x*(x+1)/(x-1)^5 ogf] A083374 33.8806 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A083374 37.2003 [[6-x] ogf_with_Euler_transform] A083374 5.87449 [{(n+2)*a(n+3)-6*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=6,a(2)=36} ogf] A083392 18.3021 [x/(x-1)/(x+1)^3 ogf] A083392 35.5611 [[-2+3*x] ogf_with_Euler_transform] A083392 36.5957 [-2*(-1+2*x)/(x-1)/(x+1) lgdogf] A083392 5.64199 [{(-2-n)*a(n+3)-2*a(n+2)+(4+n)*a(n+1),a(0)=0,a(1)=-1,a(2)=2} ogf] A083392 7.57965 [(6*f(x)-1)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x-f(x)-x) ogf] A083410 9.66635 [1/2*ln(3+8*x)-1/2*ln(1+2*x)-1/2*ln(1+2*(1+2*x)^(1/2))+1/2*ln(-1+2*(1+2*x)^(1/2)) revegf] A083416 11.0666 [-(x^3-x^2-2*x-1)/(2*x^2-1)/(x-1)/(x+1) ogf] A083416 6.78615 [{a(n+4)-3*a(n+2)+2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=5} ogf] A083416 6.85078 [-(4*f(x)-1)*(2*f(x)*x^4-3*f(x)*x^2+x^3-x^2+f(x)-2*x-1) ogf] A083416 9.27074 [-(2+8*x+3*x^2-8*x^3-9*x^4-4*x^5+2*x^6)/(x-1)/(x+1)/(2*x^2-1)/(x^3-x^2-2*x-1) lgdogf] A083420 14.0003 [-1/4*(-1-5*x+(1+18*x+9*x^2)^(1/2))/(-1+2*x) revogf] A083420 15.8425 [-(-7+8*x+8*x^2)/(x-1)/(2*x+1)/(-1+4*x) lgdogf] A083420 16.3090 [(2*x+1)/(x-1)/(4*x-1) ogf] A083420 8.43567 [(27*f(x)+22)*(4*f(x)*x^2-5*f(x)*x+f(x)-2*x-1) ogf] A083420 8.95006 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=7} ogf] A083421 12.3766 [(x+1)/(5*x-1)/(2*x-1) ogf] A083421 12.6624 [-1/2*(-1-7*x+(1+18*x+9*x^2)^(1/2))/(-1+10*x) revogf] A083421 13.9287 [-2*(-4+10*x+5*x^2)/(2*x-1)/(5*x-1)/(1+x) lgdogf] A083421 6.62007 [(9*f(x)+7)*(10*f(x)*x^2-7*f(x)*x+f(x)-x-1) ogf] A083421 6.85934 [{-a(n+2)+7*a(n+1)-10*a(n),a(0)=1,a(1)=8} ogf] A083423 10.6169 [-1/3*arcsinh(2/5*5^(1/2))+1/3*arcsinh(1/5*5^(1/2)*(2+9*x)) revegf] A083423 15.3369 [-(2*x+1)/(3*x-1)/(3*x+1) ogf] A083423 15.3945 [-2*(1+9*x+9*x^2)/(3*x-1)/(2*x+1)/(1+3*x) lgdogf] A083423 8.85652 [-(9*f(x)-7)*(9*f(x)*x^2-f(x)+2*x+1) ogf] A083423 9.82520 [{-a(n+2)+9*a(n),a(0)=1,a(1)=2} ogf] A083424 14.3365 [-(x+1)/(2*x+1)/(4*x-1) ogf] A083424 15.4252 [1/2/(1+8*x)*(-2*x-1+(1+8*x+36*x^2)^(1/2)) revogf] A083424 16.6429 [-(3+16*x+8*x^2)/(-1+4*x)/(2*x+1)/(x+1) lgdogf] A083424 7.0895 [-(22*f(x)-13)*(8*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A083424 7.86761 [{-a(n+2)+2*a(n+1)+8*a(n),a(0)=1,a(1)=3} ogf] A083425 20.0394 [1/10/x*(-1-4*x+(1+8*x+36*x^2)^(1/2)) revogf] A083425 22.2464 [-1/(x+1)/(5*x-1) ogf] A083425 30.0591 [-2*(2+5*x)/(x+1)/(5*x-1) lgdogf] A083425 8.5364 [-(13*f(x)-5)*(5*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A083425 8.95280 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=1,a(1)=4} ogf] A083426 12.5039 [-(3*x-1)/(7*x-1)/(2*x-1) ogf] A083426 13.0976 [-1/2*(-1-9*x+(1+6*x+25*x^2)^(1/2))/(3+14*x) revogf] A083426 13.0976 [-2*(3-14*x+21*x^2)/(3*x-1)/(-1+2*x)/(7*x-1) lgdogf] A083426 6.18474 [-(137*f(x)+25)*(14*f(x)*x^2-9*f(x)*x+f(x)+3*x-1) ogf] A083426 6.92988 [{a(n+2)-9*a(n+1)+14*a(n),a(0)=1,a(1)=6} ogf] A083441 3.85383 [(9100*x^6-300*x^4-891*x^3+111*x^2-1)/(10*x+1)/(x+1)/(10*x^2-1)/(10*x-1)^2/(x-1)^2 ogf] A083445 11.5282 [18*(5*x-1)/(x-1)/(9*x-1)/(10*x-1) ogf] A083445 5.35563 [-(11380832*f(x)+13816575)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x-f(x)-90*x+18) ogf] A083445 5.57513 [{-a(n+3)+20*a(n+2)-109*a(n+1)+90*a(n),a(0)=18,a(1)=270,a(2)=3438} ogf] A083445 8.93181 [-(-15+218*x-815*x^2+900*x^3)/(x-1)/(9*x-1)/(5*x-1)/(10*x-1) lgdogf] A083446 4.43961 [-(11380832*f(x)+1535175)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x-f(x)-10*x+2) ogf] A083446 4.66345 [{-a(n+3)+20*a(n+2)-109*a(n+1)+90*a(n),a(0)=2,a(1)=30,a(2)=382} ogf] A083446 9.20999 [-(-15+218*x-815*x^2+900*x^3)/(x-1)/(9*x-1)/(5*x-1)/(10*x-1) lgdogf] A083446 9.56812 [2*(5*x-1)/(x-1)/(9*x-1)/(10*x-1) ogf] A083456 14.4652 [(-2-9*x^2-49*x^4+32*x^5+18*x^3)/(x-1)/(8*x^5-3*x^4+3*x^3+x+1) lgdogf] A083456 14.7447 [-(8*x^5-3*x^4+3*x^3+x+1)/(x-1) ogf] A083457 13.8537 [2*(-1+22*x^3-28*x^4+14*x^5-12*x^2)/(x-1)/(7*x^5-7*x^4+8*x^3+x+1) lgdogf] A083457 14.8146 [-(7*x^5-7*x^4+8*x^3+x+1)/(x-1) ogf] A083460 4.80296 [-(999680*x^6-1005898*x^5+6763*x^4-577*x^3+26*x^2+17*x-2)/(x-1)/(10*x-1) ogf] A083461 5.21950 [-x*(997570*x^5-1097327*x^4+109677*x^3-9952*x^2+26*x-3)/(x-1)/(10*x-1) ogf] A083488 18.5095 [-(f(x)-1)^3 ogf] A083490 4.30399 [2*(50*x^15+5*x^14-55*x^13-10*x^12-10*x^11-10*x^10-10*x^9+10*x^7+10*x^6+7*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(10*x^8-1) ogf] A083511 7.79182 [-11*(x^4+x^3+7*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A083559 4.81456 [-(x^9-3*x^8+3*x^7-2*x^6-10*x^5-15*x^4-19*x^3-17*x^2-9*x-1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A083560 4.03294 [(x^11-4*x^10+6*x^9-4*x^8+2*x^7-4*x^6-21*x^5-73*x^4-93*x^3-74*x^2-23*x-1)/(x^2+x+1)/(x-1)^5 ogf] A083564 4.07266 [-(5421*f(x)-1724)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+4*x^3-3*f(x)*x+9*x^2+f(x)-12*x-3) ogf] A083564 6.78608 [-(21+18*x+60*x^2-60*x^3+15*x^4+18*x^5+4*x^6)/(x^2+4*x-1)/(x^2-x-1)/(4*x^3+9*x^2-12*x-3) lgdogf] A083564 7.72760 [-(4*x^3+9*x^2-12*x-3)/(x^2+4*x-1)/(x^2-x-1) ogf] A083570 7.73708 [-(1+4*x+12*x^5+4*x^3+14*x^10+8*x^9+12*x^11+9*x^8+5*x^12+6*x^14+6*x^2)/(x-1)/(x^2+x+1)/(2*x^2+1)/(x^6+x^3+1)/(x^4+x+1) lgdogf] A083570 9.53062 [-x^2*(2*x^2+1)*(x^4+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A083573 14.4629 [-1/75924*(-3-253241*x^2+(9+966*x^2+127153*x^4)^(1/2))/x lgdogf] A083575 12.9231 [1/2*ln(2*x+7)-arctanh((10*x+36)^(1/2))-1/2*ln(7)+arctanh(6) revegf] A083575 17.2517 [-(7*x-6)/(2*x-1)/(x-1) ogf] A083575 19.5503 [-(11-24*x+14*x^2)/(x-1)/(7*x-6)/(2*x-1) lgdogf] A083575 8.62583 [-(9*f(x)+67)*(2*f(x)*x^2-3*f(x)*x+f(x)+7*x-6) ogf] A083575 9.35333 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=6,a(1)=11} ogf] A083578 12.7076 [(x-1)/(4*x+1)/(6*x-1) ogf] A083578 14.6761 [-(-1-48*x+24*x^2)/(x-1)/(6*x-1)/(1+4*x) lgdogf] A083578 6.49498 [(700*f(x)-699)*(24*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A083578 7.04275 [{-a(n+2)+2*a(n+1)+24*a(n),a(0)=1,a(1)=1} ogf] A083579 11.2110 [-(-1-3*x+10*x^2-10*x^3+8*x^4)/(x-1)/(2*x-1)/(x+1)/(2*x^2-2*x+1) lgdogf] A083579 3.83307 [{(-2*n-4)*a(n+1)+a(n+2)*n+(2*n+3)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=4} ogf] A083579 5.27047 [(307*f(x)-46)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+2*x^3+3*f(x)*x-2*x^2-f(x)+x) ogf] A083579 9.81897 [-x*(2*x^2-2*x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A083580 11.4034 [-(-3+16*x-33*x^2+30*x^3)/(2*x-1)/(3*x-1)/(5*x^2-4*x+1) lgdogf] A083580 4.66832 [{a(n+4)-7*a(n+3)+16*a(n+2)-12*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=10} ogf] A083580 5.25676 [(11*f(x)+12)*(12*f(x)*x^3-16*f(x)*x^2+5*x^3+7*f(x)*x-4*x^2-f(x)+x) ogf] A083580 9.33664 [-x*(5*x^2-4*x+1)/(3*x-1)/(2*x-1)^2 ogf] A083581 17.0164 [-(7*x+1)/(2*x+1)/(x-1) ogf] A083581 21.2551 [1/2/(7+2*x)*(x-1+(1+26*x+9*x^2)^(1/2)) revogf] A083581 21.2551 [-2*(3+2*x+7*x^2)/(x-1)/(7*x+1)/(2*x+1) lgdogf] A083581 8.41467 [-(11*f(x)-49)*(2*f(x)*x^2-f(x)*x-f(x)+7*x+1) ogf] A083581 9.33824 [{-a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=6} ogf] A083582 15.4148 [-(6*x+1)/(x+1)/(2*x-1) ogf] A083582 18.3765 [-(7+4*x+12*x^2)/(2*x-1)/(6*x+1)/(x+1) lgdogf] A083582 18.3765 [1/4*(-1-x+(1+26*x+9*x^2)^(1/2))/(x+3) revogf] A083582 7.97317 [(11*f(x)+38)*(2*f(x)*x^2+f(x)*x-f(x)+6*x+1) ogf] A083582 8.45934 [{a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=7} ogf] A083583 15.0596 [-3*f(x)*x+f(x)-5*x-1 ogf] A083583 17.4909 [-1/10-3/10*x+1/10*(1+26*x+9*x^2)^(1/2) revogf] A083583 18.3158 [-(5*x+1)/(3*x-1) ogf] A083583 34.9817 [-8/(5*x+1)/(-1+3*x) lgdogf] A083583 9.41229 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=8} ogf] A083584 13.9355 [(4*x+1)/(4*x-1)/(x-1) ogf] A083584 15.3639 [-1/8*(-1-5*x+(1+26*x+9*x^2)^(1/2))/(x-1) revogf] A083584 16.1725 [-(-9+8*x+16*x^2)/(x-1)/(4*x-1)/(4*x+1) lgdogf] A083584 7.20803 [(37*f(x)+44)*(4*f(x)*x^2-5*f(x)*x+f(x)-4*x-1) ogf] A083584 7.64754 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=9} ogf] A083585 12.6414 [(3*x+1)/(5*x-1)/(2*x-1) ogf] A083585 12.9392 [-1/2*(-1-7*x+(1+26*x+9*x^2)^(1/2))/(-3+10*x) revogf] A083585 13.5554 [-10*(x+1)*(3*x-1)/(-1+2*x)/(3*x+1)/(5*x-1) lgdogf] A083585 6.608 [(13*f(x)+37)*(10*f(x)*x^2-7*f(x)*x+f(x)-3*x-1) ogf] A083585 6.92265 [{-a(n+2)+7*a(n+1)-10*a(n),a(0)=1,a(1)=10} ogf] A083586 4.25172 [-(1443*f(x)-1306)*(36*f(x)*x^4-69*f(x)*x^3+43*f(x)*x^2-10*x^3-11*f(x)*x+6*x^2+f(x)-x) ogf] A083586 8.06736 [x*(10*x^2-6*x+1)/(4*x-1)/(x-1)/(3*x-1)^2 ogf] A083586 8.72845 [-(5-51*x+240*x^4-366*x^3+202*x^2)/(x-1)/(4*x-1)/(-1+3*x)/(10*x^2-6*x+1) lgdogf] A083587 10.1363 [-4*(-1+7*x+17*x^3-18*x^2)/(-1+3*x)/(2*x-1)/(10*x^3-2*x^2-3*x+1) lgdogf] A083587 4.79132 [{a(n+4)-7*a(n+3)+16*a(n+2)-12*a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=28} ogf] A083587 5.29772 [(-5+11*f(x))*(12*f(x)*x^3-16*f(x)*x^2+10*x^3+7*f(x)*x-2*x^2-f(x)-3*x+1) ogf] A083587 9.05028 [-(10*x^3-2*x^2-3*x+1)/(3*x-1)/(2*x-1)^2 ogf] A083588 4.41515 [(12957*f(x)+19328)*(36*f(x)*x^4-69*f(x)*x^3+43*f(x)*x^2-8*x^3-11*f(x)*x-7*x^2+f(x)+6*x-1) ogf] A083588 8.12168 [(8*x^3+7*x^2-6*x+1)/(4*x-1)/(x-1)/(3*x-1)^2 ogf] A083589 16.0453 [1/(x-1)/(4*x-1)/(x+1)/(x^2+1) ogf] A083589 6.03539 [-(65279*f(x)+129)*(4*f(x)*x^5-f(x)*x^4-4*f(x)*x+f(x)-1) ogf] A083590 14.8521 [1/(5*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A083590 9.62211 [-5*(2*x^2-x+1)*(3*x^3+x^2-x-1)/(x-1)/(5*x-1)/(x^4+x^3+x^2+x+1) lgdogf] A083591 10.6579 [-(3+15*x+30*x^2+34*x^3)/(3*x-1)/(2*x+1)/(x+1)/(2*x^2+2*x+1) lgdogf] A083591 4.48843 [-f(x)*(12*f(x)*x^4+14*f(x)*x^3+x^4+6*f(x)*x^2+4*x^3-f(x)*x+6*x^2-f(x)+4*x+1) ogf] A083591 7.37754 [-(x+1)^4/(3*x-1)/(2*x+1)/(2*x^2+2*x+1) ogf] A083592 6.14819 [-(x+1)^5/(4*x-1)/(5*x^4+10*x^3+10*x^2+5*x+1) ogf] A083593 14.6004 [-2*(-1-2*x^3+5*x^4)/(x-1)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A083593 17.0751 [1/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A083593 6.66742 [-(239*f(x)+9)*(2*f(x)*x^5-f(x)*x^4-2*f(x)*x+f(x)-1) ogf] A083594 16.7832 [-(6*x+1)/(2*x+1)/(x-1) ogf] A083594 21.5461 [-(5+4*x+12*x^2)/(x-1)/(2*x+1)/(1+6*x) lgdogf] A083594 22.1446 [1/4*(x-1+(1+22*x+9*x^2)^(1/2))/(x+3) revogf] A083594 8.20919 [-(59*f(x)-218)*(2*f(x)*x^2-f(x)*x-f(x)+6*x+1) ogf] A083594 9.21032 [{-a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=5} ogf] A083595 15.2622 [-(5*x+1)/(x+1)/(2*x-1) ogf] A083595 17.2580 [1/2/(5+2*x)*(-1-x+(1+22*x+9*x^2)^(1/2)) revogf] A083595 17.7122 [-2*(3+2*x+5*x^2)/(5*x+1)/(2*x-1)/(x+1) lgdogf] A083595 7.46519 [-(17*f(x)+145)*(2*f(x)*x^2+f(x)*x-f(x)+5*x+1) ogf] A083595 8.37559 [{a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A083596 2.67571 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=7} ogf] A083596 4.28114 [-3*f(x)*x+f(x)-4*x-1 ogf] A083596 5.20272 [-1/8-3/8*x+1/8*(1+22*x+9*x^2)^(1/2) revogf] A083596 5.20678 [-(4*x+1)/(3*x-1) ogf] A083596 9.58395 [-7/(4*x+1)/(-1+3*x) lgdogf] A083597 13.7962 [(3*x+1)/(4*x-1)/(x-1) ogf] A083597 14.4830 [-1/2*(-1-5*x+(1+22*x+9*x^2)^(1/2))/(4*x-3) revogf] A083597 15.2071 [-4*(-2+2*x+3*x^2)/(x-1)/(3*x+1)/(-1+4*x) lgdogf] A083597 7.05486 [(65*f(x)+191)*(4*f(x)*x^2-5*f(x)*x+f(x)-3*x-1) ogf] A083597 7.57106 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=8} ogf] A083650 4.64439 [-(2*x^15+x^14-2*x^13-x^12+2*x^11-x^10-x^9+x^8+3*x^7+x^6-x^5-x^4+2*x^3-x^2-2*x+1)/(-x^16+1) ogf_with_Euler_transform] A083655 7.27518 [-x*(8*x^7+8*x^6+8*x^5+2*x^4-2*x^3-4*x^2-2*x-1)/(4*x^3-1)/(2*x^3-1) ogf] A083658 10.4476 [(f(x)-1)*(3*f(x)*x^2+2*x^3-f(x)+x+1) ogf] A083658 15.9912 [-(2*x^3+x+1)/(3*x^2-1) ogf] A083658 8.16219 [{-a(n+4)+3*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A083669 10.5756 [-(51+456*x+96*x^3+x^4+546*x^2)/(x-1)/(x^4+46*x^3+136*x^2+46*x+1) lgdogf] A083669 6.97418 [-(x^4+46*x^3+136*x^2+46*x+1)/(x-1)^5 ogf] A083672 16.6164 [-(-1-14*x+3*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A083672 4.35889 [-(51*f(x)+47)*(9*f(x)*x^4+12*f(x)*x^3-2*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A083672 8.04721 [-(x-1)^3/(x+1)^2/(3*x-1)^2 ogf] A083673 9.98163 [(5*x^6-3*x^5+4*x^4+3*x^3-x^2+2*x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A083683 11.8827 [1/2*ln(2*x+13)-arctanh((22*x+144)^(1/2))-1/2*ln(13)+arctanh(12) revegf] A083683 16.2201 [-(13*x-12)/(2*x-1)/(x-1) ogf] A083683 18.2588 [-(23-48*x+26*x^2)/(x-1)/(2*x-1)/(13*x-12) lgdogf] A083683 8.11005 [-(21*f(x)+277)*(2*f(x)*x^2-3*f(x)*x+f(x)+13*x-12) ogf] A083683 9.07555 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=12,a(1)=23} ogf] A083686 14.0520 [1/2*ln(2*x+9)-arctanh((14*x+64)^(1/2))-ln(3)+arctanh(8) revegf] A083686 17.4827 [-(9*x-8)/(2*x-1)/(x-1) ogf] A083686 19.8169 [-(15-32*x+18*x^2)/(x-1)/(9*x-8)/(2*x-1) lgdogf] A083686 8.55133 [-(13*f(x)+121)*(2*f(x)*x^2-3*f(x)*x+f(x)+9*x-8) ogf] A083686 9.47859 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=8,a(1)=15} ogf] A083691 12.9068 [-1/4*(-4-5*x+(x^2*(1+8*x+8*x^2))^(1/2))*x/(1+x)^3 revogf] A083691 5.07988 [2*f(x)^3*x^3-f(x)^3*x+6*f(x)^2*x^2-5*f(x)^2*x+2*f(x)^2+6*f(x)*x-4*f(x)+2 ogf] A083692 3.61224 [-8*f(x)^3*x^4+4*f(x)^3*x^2-12*x^3*f(x)^2-12*f(x)^2*x^2+16*f(x)^2*x-6*f(x)*x^2-4*f(x)^2-12*f(x)*x+7*f(x)-x-3 ogf] A083694 10.4204 [-5*f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A083694 16.6164 [-2*x/(5*x^2+2*x-1) ogf] A083694 18.9109 [1/5*(-1-x+(1+2*x+6*x^2)^(1/2))/x revogf] A083694 25.2146 [-2*(5*x+1)/(5*x^2-1+2*x) lgdogf] A083694 7.59020 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=0,a(1)=2} ogf] A083695 17.1690 [1/10*(-3-2*x+(3+4*x+8*x^2)^(1/2)*3^(1/2))/x revogf] A083695 20.2204 [-3*x/(5*x^2+2*x-1) ogf] A083695 30.7612 [-2*(1+5*x)/(5*x^2-1+2*x) lgdogf] A083695 9.23648 [(2*f(x)+3)*(5*f(x)*x^2+2*f(x)*x-f(x)+3*x) ogf] A083695 9.23649 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=0,a(1)=3} ogf] A083703 15.6514 [-(3*x^3+4*x^2+4*x+4)/(-x^4+1) ogf_with_Euler_transform] A083703 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(3/4)*2^(3/8)/GAMMA(3/4)^3 A083705 12.4877 [1/2*ln(2*x+11)-arctanh((18*x+100)^(1/2))-1/2*ln(11)+arctanh(10) revegf] A083705 17.0337 [-(11*x-10)/(2*x-1)/(x-1) ogf] A083705 19.1884 [-(19-40*x+22*x^2)/(11*x-10)/(x-1)/(2*x-1) lgdogf] A083705 8.51686 [-(17*f(x)+191)*(2*f(x)*x^2-3*f(x)*x+f(x)+11*x-10) ogf] A083705 9.53079 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=10,a(1)=19} ogf] A083706 13.6180 [(2*x^2-1)/(2*x-1)/(x-1)^2 ogf] A083706 16.5704 [-2*(2-5*x+2*x^3+2*x^2)/(2*x-1)/(x-1)/(2*x^2-1) lgdogf] A083706 6.80899 [-(47*f(x)+394)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+1) ogf] A083706 6.93058 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A083707 7.23350 [-x*(x^4+4*x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A083707 9.48273 [-(2+16*x+5*x^7+7*x^6+36*x^5+42*x^4+45*x^3+27*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+4*x^2+1) lgdogf] A083708 6.54092 [x*(x^4+4*x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^6 ogf] A083708 9.30071 [-2*(1+8*x+5*x^6+24*x^5+27*x^4+24*x^3+4*x^7+15*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+4*x^2+1) lgdogf] A083709 6.38277 [(x^6-x^5+2*x^4+2*x^3+2*x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A083709 7.89785 [-x*(2*x^8+8+21*x^5+36*x^4+24*x^3+28*x^2+10*x^6+15*x)/(x-1)/(x+1)/(x^6-x^5+2*x^4+2*x^3+2*x^2-x+1)/(x^2+x+1) lgdogf] A083713 10.0027 [-8*f(x)*x^2+9*f(x)*x-f(x)+3*x ogf] A083713 15.2940 [-1/16*(-3-9*x+(9+54*x+49*x^2)^(1/2))/x revogf] A083713 15.9502 [3*x/(8*x-1)/(x-1) ogf] A083713 23.2469 [-(-9+16*x)/(-1+8*x)/(x-1) lgdogf] A083713 7.28591 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=3} ogf] A083727 10.3972 [-2*x*(3*x-1)*(5*x-3)/(2*x-1)^2/(x-1)^2 ogf] A083727 14.2962 [-4*(-1+9*x+15*x^3-21*x^2)/(x-1)/(3*x-1)/(-3+5*x)/(2*x-1) lgdogf] A083727 4.54878 [{(-2*n^2-10*n-12)*a(n+1)+(3*n^2+12*n+9)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=-6,a(2)=-8} ogf] A083727 5.80134 [(f(x)+82)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+30*x^3-6*f(x)*x-28*x^2+f(x)+6*x) ogf] A083744 6.41976 [(1+4*x+160*x^7-152*x^8+48*x^9-50*x^5-41*x^6-20*x^3+55*x^4-2*x^2)/(x-1)/(8*x^9-16*x^8+8*x^7+5*x^6-10*x^5+5*x^4+2*x^3-4*x^2+2*x-1) lgdogf] A083744 7.03938 [(8*x^9-16*x^8+8*x^7+5*x^6-10*x^5+5*x^4+2*x^3-4*x^2+2*x-1)/(x-1)^3 ogf] A083746 3.82468 [{(-2*n^2+2*n)*a(n)+(3*n^3+11*n^2+13*n-3)*a(n+1)+(-3*n^2-5*n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A083811 2.80554 [(11111*f(x)+127080)*(10*f(x)*x^2-11*f(x)*x+f(x)-36) ogf] A083811 2.99903 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=36,a(1)=396} ogf] A083811 5.83665 [-1/20*(-36-11*x+3*(144+88*x+9*x^2)^(1/2))/x revogf] A083811 7.24767 [36/(x-1)/(10*x-1) ogf] A083811 9.29540 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A083812 18.8935 [18/(x-1)/(10*x-1) ogf] A083812 7.72915 [(101*f(x)+360)*(10*f(x)*x^2-11*f(x)*x+f(x)-18) ogf] A083812 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=18,a(1)=198} ogf] A083813 12.9021 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A083813 3.90122 [(11111*f(x)+95310)*(10*f(x)*x^2-11*f(x)*x+f(x)-27) ogf] A083813 4.12543 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=27,a(1)=297} ogf] A083813 6.96712 [-1/20*(-11*x-27+3*(3*x^2+22*x+27)^(1/2)*3^(1/2))/x revogf] A083813 9.96978 [27/(x-1)/(10*x-1) ogf] A083816 4.42045 [-(8000*x^4-690*x^3+808*x^2-100*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A083817 10.0054 [-(2*x^7+x^5-4*x^4-x^3+2*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A083817 10.4458 [-(2-6*x^6-6*x^5+6*x^2+5*x^4+4*x^7+4*x^9)/(x-1)/(x^2+x+1)/(2*x^7+x^5-4*x^4-x^3+2*x+1) lgdogf] A083818 14.5418 [(26*x+1)/(x-1)/(10*x-1) ogf] A083818 7.25742 [-1/20*(-37-11*x+(1369+774*x+81*x^2)^(1/2))/(1+x) revogf] A083818 7.57295 [-(397-740*x+100*x^2)/(-1+x)/(10*x-37)/(10*x-1) lgdogf] A083818 7.58702 [(387*f(x)+982)*(10*f(x)*x^2-11*f(x)*x+f(x)-26*x-1) ogf] A083818 8.21182 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=37} ogf] A083819 13.6181 [9*(4+6*x+5*x^2+6325*x^4+8*x^3)/(27*x^2+1+36*x+18*x^4+15*x^3+11385*x^5) lgdogf] A083823 4.97164 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=15,a(1)=18,a(2)=114,a(3)=1107} ogf] A083823 5.1168 [-(3883*f(x)-25835)*(10*f(x)*x^3-f(x)*x^2-99*x^3-10*f(x)*x+81*x^2+f(x)+132*x-15) ogf] A083823 9.22370 [3*(33*x^3-27*x^2-44*x+5)/(x-1)/(10*x-1)/(x+1) ogf] A083839 6.56531 [-x*(x^6-4*x^4+8*x^3-6*x^2+3*x-1)/(x^2-x+1)/(x^2+x-1)/(x^3-x^2+2*x-1) ogf] A083858 10.7192 [-6*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A083858 17.0928 [-x/(6*x^2+3*x-1) ogf] A083858 17.3027 [1/12/x*(-1-3*x+(1+6*x+33*x^2)^(1/2)) revogf] A083858 25.9541 [-3*(4*x+1)/(6*x^2+3*x-1) lgdogf] A083858 7.80780 [{-a(n+2)+3*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A083877 12.7466 [(3*x^2+1)/(x+1)/(3*x-1)^2 ogf] A083877 14.0425 [-(3*x+1)*(3*x^2+5)/(-1+3*x)/(x+1)/(3*x^2+1) lgdogf] A083877 6.42970 [{-a(n+3)+5*a(n+2)-3*a(n+1)-9*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A083877 6.79024 [(f(x)-1)*(9*f(x)*x^3+3*f(x)*x^2-5*f(x)*x-3*x^2+f(x)-1) ogf] A083878 13.5871 [-(3*x-1)/(7*x^2-6*x+1) ogf] A083878 15.3559 [-(3-14*x+21*x^2)/(-1+3*x)/(7*x^2-6*x+1) lgdogf] A083878 16.1859 [-1/2*(-1-6*x+(1+8*x^2)^(1/2))/(3+7*x) revogf] A083878 7.19319 [(2*f(x)+1)*(7*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A083878 7.45635 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=1,a(1)=3} ogf] A083879 13.4393 [-(4*x-1)/(14*x^2-8*x+1) ogf] A083879 15.1461 [-4*(1-7*x+14*x^2)/(4*x-1)/(14*x^2-8*x+1) lgdogf] A083879 6.71966 [-(25*f(x)+39)*(14*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A083879 7.44829 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=1,a(1)=4} ogf] A083880 12.8259 [-(5*x-1)/(23*x^2-10*x+1) ogf] A083880 14.4058 [-(5-46*x+115*x^2)/(5*x-1)/(23*x^2-10*x+1) lgdogf] A083880 6.55234 [-(4*f(x)+21)*(23*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A083880 7.17637 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=1,a(1)=5} ogf] A083881 14.1445 [-(3*x-1)/(6*x^2-6*x+1) ogf] A083881 15.9990 [-3*(1-4*x+6*x^2)/(-1+3*x)/(6*x^2-6*x+1) lgdogf] A083881 7.07228 [-(10*f(x)-1)*(6*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A083881 7.76224 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=1,a(1)=3} ogf] A083882 12.5752 [-(4*x-1)/(13*x^2-8*x+1) ogf] A083882 13.8117 [-2*(2-13*x+26*x^2)/(4*x-1)/(13*x^2-8*x+1) lgdogf] A083882 6.42733 [-(3*f(x)+5)*(13*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A083882 6.96939 [{a(n+2)-8*a(n+1)+13*a(n),a(0)=1,a(1)=4} ogf] A083884 15.2226 [-(5*x-1)/(9*x-1)/(x-1) ogf] A083884 18.1069 [-(5-18*x+45*x^2)/(x-1)/(9*x-1)/(5*x-1) lgdogf] A083884 7.69495 [-(32*f(x)-7)*(9*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A083884 8.43663 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=1,a(1)=5} ogf] A083885 5.02049 [{-a(n+4)+4*a(n+3)+4*a(n+2)-16*a(n+1),a(0)=1,a(1)=1,a(2)=6,a(3)=16} ogf] A083885 5.33925 [-(23+72*f(x))*(16*f(x)*x^3-4*f(x)*x^2-4*x^3-4*f(x)*x+2*x^2+f(x)+3*x-1) ogf] A083885 9.03932 [(1+4*x+64*x^3+16*x^4-40*x^2)/(x-1)/(-1+4*x)/(2*x+1)/(2*x-1)/(4*x^2+2*x-1) lgdogf] A083885 9.61066 [(x-1)*(4*x^2+2*x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A083886 179.196 [3+2*x lgdegf] A083886 7.63874 [{(-2*n-4)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=11} ogf] A083909 17.3173 [9/(100*x-1)/(10*x-1) ogf] A083909 7.0006 [(11111*f(x)+31770)*(1000*f(x)*x^2-110*f(x)*x+f(x)-9) ogf] A083909 7.39389 [{-a(n+2)+110*a(n+1)-1000*a(n),a(0)=9,a(1)=990} ogf] A083943 12.0231 [-(3*x-1)*x/(x-1)/(2*x-1)/(x+1) ogf] A083943 15.6644 [-(-1+2*x+12*x^3-9*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A083943 6.17401 [-(f(x)-1)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+3*x^2+f(x)-x) ogf] A083943 6.17402 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=-1} ogf] A083944 11.8565 [-x*(4*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A083944 15.3879 [-2*(-1+x+8*x^3-5*x^2)/(x-1)/(-1+4*x)/(2*x-1)/(x+1) lgdogf] A083944 5.87668 [-(101*f(x)-224)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+4*x^2+f(x)-x) ogf] A083944 6.08846 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=-2} ogf] A084006 4.71828 [-9*(1000*x^8-1110*x^5+90*x^4+40*x^3+121*x^2+9*x+4)/(x-1)/(100*x^3-1)/(10*x^3-1)/(x^2+x+1) ogf] A084012 3.64793 [(f(x)*x-f(x)+1)^2 egf] A084021 8.86180 [(-7+10*x-4050*x^8+11250*x^9+3240*x^11-10440*x^10)/(x-1)/(405*x^11-855*x^10+450*x^9-5*x+4) lgdogf] A084021 9.19754 [-2*(405*x^11-855*x^10+450*x^9-5*x+4)/(x-1)^3 ogf] A084056 12.8375 [x*(2*x-1)/(x-1)/(x+1)^2 ogf] A084056 24.7861 [-(3-5*x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A084056 6.59221 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=-3} ogf] A084056 8.60865 [f(x)*x^3+f(x)*x^2-f(x)*x-2*x^2-f(x)+x ogf] A084057 16.8832 [(x-1)/(4*x^2+2*x-1) ogf] A084057 18.1523 [-(-1-8*x+4*x^2)/(x-1)/(4*x^2+2*x-1) lgdogf] A084057 8.73267 [(40*f(x)-39)*(4*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A084057 9.26515 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A084058 14.9499 [(x-1)/(7*x^2+2*x-1) ogf] A084058 18.3297 [-(-1-14*x+7*x^2)/(x-1)/(7*x^2+2*x-1) lgdogf] A084058 7.7327 [(88*f(x)-87)*(7*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A084058 8.20422 [{-a(n+2)+2*a(n+1)+7*a(n),a(0)=1,a(1)=1} ogf] A084059 13.6568 [(2*x-1)/(2*x^2+4*x-1) ogf] A084059 15.0504 [-2*(-1-2*x+2*x^2)/(-1+2*x)/(2*x^2+4*x-1) lgdogf] A084059 17.2004 [1/4*(-1-4*x+(24*x^2+1)^(1/2))/(x-1) revogf] A084059 7.06387 [(27*f(x)-23)*(2*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A084059 7.49459 [{-a(n+2)+4*a(n+1)+2*a(n),a(0)=1,a(1)=2} ogf] A084060 14.0848 [(3*x^2-4*x-1)/(x-1)/(x+1)^2 ogf] A084060 21.0012 [-(x-3)*(3*x^2-2*x+1)/(x-1)/(x+1)/(3*x^2-4*x-1) lgdogf] A084060 7.47107 [-(6*f(x)+5)*(f(x)*x^3+f(x)*x^2-f(x)*x-3*x^2-f(x)+4*x+1) ogf] A084060 7.67118 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=-5} ogf] A084066 5.15144 [-(571*x^34+1959*x^33-3628*x^23+2594*x^22-2370*x^12-820*x^11+530*x+53)/(x-1)/(230*x^33-94*x^22-290*x^11+53) ogf] A084068 12.8291 [(x+1)^2/(x^2+2*x-1)/(x^2-2*x-1) ogf] A084068 14.0716 [-2*(-1-6*x+2*x^3+x^4)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A084068 7.61727 [(478*f(x)+13)*(f(x)*x^4-6*f(x)*x^2-x^2+f(x)-2*x-1) ogf] A084069 10.3030 [-(-3-34*x+4*x^3+9*x^4+2*x^5-48*x^2)/(x^2+3*x+1)/(x^4-16*x^2+1) lgdogf] A084069 11.2328 [(x^2+3*x+1)/(x^4-16*x^2+1) ogf] A084069 6.64797 [(8638*f(x)+33)*(f(x)*x^4-16*f(x)*x^2-x^2+f(x)-3*x-1) ogf] A084070 10.8134 [-f(x)*x^2+38*f(x)*x-f(x)+6*x ogf] A084070 13.0675 [-(-19*x-3+(3+20*x)^(1/2)*(1+6*x)^(1/2)*3^(1/2))/x revogf] A084070 17.0738 [6*x/(x^2-38*x+1) ogf] A084070 27.8394 [-2*(-19+x)/(x^2+1-38*x) lgdogf] A084070 7.91226 [{a(n+2)-38*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A084075 13.0515 [-1/2*((1+4*x)^(1/2)-2*x-1)*(1+4*x)^(1/2)/x/(2*x+1) revogf] A084075 5.08213 [4*f(x)^3*x^4+4*x^3*f(x)^2+8*f(x)^2*x^2-4*f(x)^2*x+f(x)*x^2+6*f(x)*x-f(x)+1 ogf] A084076 8.02647 [2*x^3*f(x)^2+2*f(x)^2*x^2+5*f(x)*x-f(x)+1 ogf] A084076 9.93212 [1/4*(2*(x^2+6*x+1)^(1/2)*x+(x^2+6*x+1)^(1/2)-1-5*x-2*x^2)/x^2 revogf] A084077 5.7591 [-2*f(x)^2*x^4-2*x^3*f(x)^2-2*f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A084078 17.0137 [-1/2*(-x-3+(x^2+6*x+1)^(1/2))*x/(1+x) revogf] A084078 5.89622 [f(x)^3*x^2-f(x)^2*x^2+4*f(x)^2*x-2*f(x)^2-2*f(x)*x+3*f(x)-1 ogf] A084080 22.9928 [x*(1+3*x+3*x^2)/(1+x)^4 revogf] A084081 5.43715 [f(x)^3*x^4-3*x^3*f(x)^2+10*f(x)^2*x^2-4*f(x)^2*x+3*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A084084 12.2332 [-(x+1)/(x^3+3*x^2+2*x-1) ogf] A084084 14.4393 [-(3+6*x+2*x^3+6*x^2)/(x+1)/(x^3+3*x^2+2*x-1) lgdogf] A084084 5.78895 [{a(n+3)-2*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A084084 5.94827 [-(37*f(x)-10)*(f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A084085 11.1438 [-(x^3-x+1)/(x^4-x^2+3*x-1) ogf] A084085 11.9007 [-(2-2*x+x^6-2*x^3-2*x^4+4*x^2)/(x^3-x+1)/(x^4-x^2+3*x-1) lgdogf] A084085 5.86008 [-(15*f(x)+7)*(f(x)*x^4-f(x)*x^2+x^3+3*f(x)*x-f(x)-x+1) ogf] A084086 5.13610 [{-a(n+4)+5*a(n+3)-7*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=15} ogf] A084086 6.31262 [-(34+81*f(x))*(2*f(x)*x^3-7*f(x)*x^2+2*x^3+5*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A084086 9.56817 [-(2-10*x-32*x^3+18*x^4+23*x^2)/(2*x-1)/(x^2-3*x+1)/(2*x^3+2*x^2-3*x+1) lgdogf] A084086 9.90001 [-(2*x^3+2*x^2-3*x+1)/(2*x-1)/(x^2-3*x+1) ogf] A084099 14.1375 [f(x)*x^2-x^2+f(x)-2*x-1 ogf] A084099 15.2916 [(x+1)^2/(x^2+1) ogf] A084099 25.7844 [[x^3-3*x+2] ogf_with_Euler_transform] A084099 49.7128 [-2*(x-1)/(x+1)/(1+x^2) lgdogf] A084099 9.02757 [{a(n+3)+a(n+1),a(0)=1,a(1)=2,a(2)=0} ogf] A084100 14.6405 [-(x-1)*(x+1)^2/(x^2+1) ogf] A084100 28.3182 [(-1+5*x-x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A084100 28.7057 [[x^3-3*x+1] ogf_with_Euler_transform] A084100 8.69280 [{-a(n+4)-a(n+2),a(0)=1,a(1)=1,a(2)=-2,a(3)=-2} ogf] A084100 9.59206 [-(5*f(x)-6)*(f(x)*x^2+x^3+x^2+f(x)-x-1) ogf] A084101 16.2507 [-(x+1)^2/(x-1)/(x^2+1) ogf] A084101 25.5968 [-(3-3*x+3*x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A084101 34.1122 [[x^3-3*x+3] ogf_with_Euler_transform] A084101 8.61994 [-(f(x)+8)*(f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)+2*x+1) ogf] A084101 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A084102 11.7912 [-2*f(x)*x^2-2*f(x)*x+4*x^2-f(x)+4*x+1 ogf] A084102 15.7957 [(2*x+1)^2/(2*x^2+2*x+1) ogf] A084102 40.8211 [2/(1+2*x)/(2*x^2+2*x+1) lgdogf] A084102 8.20757 [{a(n+3)+2*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=-2} ogf] A084103 13.0749 [(x+1)^2/(x^2-x+1) ogf] A084103 20.9470 [x^5-x^2-3*x+3 ogf_with_Euler_transform] A084103 39.1858 [-3*(x-1)/(x+1)/(x^2-x+1) lgdogf] A084103 6.79383 [{-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=3} ogf] A084103 9.76015 [f(x)*x^2-f(x)*x-x^2+f(x)-2*x-1 ogf] A084104 16.2507 [-(x+1)^2/(x-1)/(x^2-x+1) ogf] A084104 24.3169 [-(4-6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A084104 29.9774 [x^5-x^2-3*x+4 ogf_with_Euler_transform] A084104 8.77251 [(9*f(x)-128)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A084104 8.85083 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=7} ogf] A084120 12.4487 [-(3*x-1)/(3*x^2-6*x+1) ogf] A084120 14.4214 [-3*(1-2*x+3*x^2)/(3*x-1)/(3*x^2-6*x+1) lgdogf] A084120 6.15596 [-(22*f(x)-13)*(3*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A084120 6.83161 [{a(n+2)-6*a(n+1)+3*a(n),a(0)=1,a(1)=3} ogf] A084128 15.6784 [(2*x-1)/(4*x^2+4*x-1) ogf] A084128 17.7645 [-2*(-1-4*x+4*x^2)/(2*x-1)/(4*x^2+4*x-1) lgdogf] A084128 18.2320 [1/4*(-1-4*x+(32*x^2+1)^(1/2))/(-1+2*x) revogf] A084128 8.20381 [(10*f(x)-9)*(4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A084128 8.60399 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A084130 13.8695 [-(4*x-1)/(8*x^2-8*x+1) ogf] A084130 15.6910 [-4*(1-4*x+8*x^2)/(-1+4*x)/(8*x^2-8*x+1) lgdogf] A084130 7.01266 [-(7*f(x)-3)*(8*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A084130 7.61130 [{a(n+2)-8*a(n+1)+8*a(n),a(0)=1,a(1)=4} ogf] A084131 12.5566 [-(5*x-1)/(17*x^2-10*x+1) ogf] A084131 14.4544 [-(5-34*x+85*x^2)/(5*x-1)/(17*x^2-10*x+1) lgdogf] A084131 6.27829 [-(664*f(x)-39)*(17*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A084131 7.02570 [{a(n+2)-10*a(n+1)+17*a(n),a(0)=1,a(1)=5} ogf] A084132 13.3258 [(2*x-1)/(6*x^2+4*x-1) ogf] A084132 15.0589 [-2*(-1-6*x+6*x^2)/(2*x-1)/(6*x^2+4*x-1) lgdogf] A084132 6.89267 [(55*f(x)-51)*(6*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A084132 7.31295 [{-a(n+2)+4*a(n+1)+6*a(n),a(0)=1,a(1)=2} ogf] A084133 3.92064 [(3*x-1)/(x^2+6*x-1) ogf] A084134 12.6486 [-(4*x-1)/(6*x^2-8*x+1) ogf] A084134 14.6633 [-4*(1-3*x+6*x^2)/(4*x-1)/(6*x^2-8*x+1) lgdogf] A084134 6.18684 [-(145*f(x)-81)*(6*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A084134 6.94133 [{a(n+2)-8*a(n+1)+6*a(n),a(0)=1,a(1)=4} ogf] A084135 12.8753 [-(5*x-1)/(15*x^2-10*x+1) ogf] A084135 14.4672 [-5*(1-6*x+15*x^2)/(5*x-1)/(15*x^2-10*x+1) lgdogf] A084135 6.57759 [-(34*f(x)-9)*(15*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A084135 7.20401 [{a(n+2)-10*a(n+1)+15*a(n),a(0)=1,a(1)=5} ogf] A084136 10.6592 [-(x+1)*(3*x-1)/(x-1)/(7*x^2+2*x-1) ogf] A084136 5.65403 [-(4*f(x)-1)*(7*f(x)*x^3-5*f(x)*x^2-3*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A084136 5.80548 [{a(n+3)-3*a(n+2)-5*a(n+1)+7*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A084136 9.95841 [-(1+4*x+28*x^3+21*x^4-22*x^2)/(x-1)/(-1+3*x)/(x+1)/(7*x^2+2*x-1) lgdogf] A084137 11.0597 [-2*(1-4*x-4*x^2+32*x^3)/(-1+2*x)/(-1+4*x)/(4*x^2+4*x-1) lgdogf] A084137 11.7137 [-(4*x-1)/(2*x-1)/(4*x^2+4*x-1) ogf] A084137 5.54310 [{a(n+3)-6*a(n+2)+4*a(n+1)+8*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A084137 5.80213 [-(f(x)-1)*(8*f(x)*x^3+4*f(x)*x^2-6*f(x)*x+f(x)+4*x-1) ogf] A084150 16.0521 [x^2/(x-1)/(7*x^2+2*x-1) ogf] A084150 17.6114 [-(-3-10*x+21*x^2)/(x-1)/(7*x^2+2*x-1) lgdogf] A084150 5.98305 [{a(n+3)-3*a(n+2)-5*a(n+1)+7*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A084150 8.12513 [-7*f(x)*x^3+5*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A084151 13.6889 [-x^2/(3*x-1)/(x^2-6*x+1) ogf] A084151 5.17958 [{a(n+3)-9*a(n+2)+19*a(n+1)-3*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A084151 7.01139 [3*f(x)*x^3-19*f(x)*x^2+9*f(x)*x+x^2-f(x) ogf] A084152 16.2905 [x^2/(x-1)/(2*x+1)/(4*x-1) ogf] A084152 6.07191 [{a(n+3)-3*a(n+2)-6*a(n+1)+8*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A084152 8.2458 [-8*f(x)*x^3+6*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A084153 14.0249 [x^2/(2*x-1)/(5*x-1)/(x+1) ogf] A084153 17.2645 [-6*(-1+x+5*x^2)/(2*x-1)/(5*x-1)/(x+1) lgdogf] A084153 5.81211 [{-a(n+3)+6*a(n+2)-3*a(n+1)-10*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A084153 7.86762 [10*f(x)*x^3+3*f(x)*x^2-6*f(x)*x-x^2+f(x) ogf] A084154 10.0750 [-x*(2*x^2-2*x+1)/(2*x^2-1)/(2*x^2-4*x+1) ogf] A084154 5.64549 [(16*f(x)-1)*(4*f(x)*x^4-8*f(x)*x^3+2*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A084154 8.71762 [-2*(2*x-1)*(4*x^4-8*x^3+8*x^2-4*x-1)/(2*x^2-1)/(2*x^2-4*x+1)/(2*x^2-2*x+1) lgdogf] A084155 4.21825 [-(32*f(x)-1)*(7*f(x)*x^4+8*f(x)*x^3-18*f(x)*x^2+5*x^3+8*f(x)*x-4*x^2-f(x)+x) ogf] A084155 7.92347 [-x*(5*x^2-4*x+1)/(7*x^2-6*x+1)/(x^2+2*x-1) ogf] A084156 5.5663 [(40*f(x)-7)*(3*f(x)*x^4-12*f(x)*x^3+2*f(x)*x^2+3*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A084156 8.43869 [-2*(1+5*x-26*x^2+30*x^3-27*x^4+9*x^5)/(-1+3*x^2)/(3*x^2-2*x+1)/(1-4*x+x^2) lgdogf] A084156 8.56918 [-x*(3*x^2-2*x+1)/(x^2-4*x+1)/(3*x^2-1) ogf] A084157 5.22582 [(8*f(x)-1)*(12*f(x)*x^4-16*f(x)*x^2+6*x^3+8*f(x)*x-4*x^2-f(x)+x) ogf] A084157 7.62043 [-4*(1-5*x+4*x^2+12*x^3-36*x^4+36*x^5)/(2*x-1+2*x^2)/(6*x^2-4*x+1)/(6*x^2-6*x+1) lgdogf] A084157 9.12569 [-x*(6*x^2-4*x+1)/(2*x^2+2*x-1)/(6*x^2-6*x+1) ogf] A084158 13.4632 [x/(x+1)/(x^2-6*x+1) ogf] A084158 17.5462 [-(-5-10*x+3*x^2)/(x+1)/(x^2+1-6*x) lgdogf] A084158 5.45805 [{-a(n+3)+5*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A084158 5.82543 [-(87*f(x)+5)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+f(x)-x) ogf] A084159 13.3109 [-(3+15*x-3*x^2+x^3)/(x-1)/(x+1)/(1-6*x+x^2) lgdogf] A084159 5.17299 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=21} ogf] A084159 5.21918 [(58*f(x)+5)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A084159 9.58275 [(x-1)^2/(x+1)/(x^2-6*x+1) ogf] A084169 4.53697 [(2842*f(x)-1949)*(4*f(x)*x^4-4*f(x)*x^3-13*f(x)*x^2+2*x^3-2*f(x)*x+f(x)-x) ogf] A084169 8.30242 [-2*(1+11*x+8*x^2-8*x^3-4*x^4+8*x^5)/(4*x^2+4*x-1)/(2*x^2-1)/(x^2-2*x-1) lgdogf] A084169 9.07392 [-x*(2*x^2-1)/(4*x^2+4*x-1)/(x^2-2*x-1) ogf] A084170 12.6469 [(x^2+1)/(x-1)/(2*x-1)/(x+1) ogf] A084170 14.4288 [-2*(-1-2*x+x^4+4*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A084170 6.43638 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A084170 6.67475 [(4*f(x)+11)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)-1) ogf] A084171 12.4791 [(2*x^2-2*x+1)/(3*x-1)/(2*x-1) ogf] A084171 14.7355 [(3-8*x+2*x^2)/(-1+3*x)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A084171 6.42130 [{-a(n+3)+5*a(n+2)-6*a(n+1),a(0)=1,a(1)=3,a(2)=11} ogf] A084171 6.81849 [-(f(x)+1)*(6*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A084172 11.7483 [-(-2+2*x-x^3+4*x^5+x^2)/(x-1)/(2*x-1)/(x+1)/(2*x^3-x^2-x+1) lgdogf] A084172 4.97895 [{-a(n+4)+3*a(n+3)-a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A084172 5.0864 [(43*f(x)-18)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+2*x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A084172 9.18196 [-(2*x^3-x^2-x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A084173 3.63385 [{(-2*n-4)*a(n+1)+a(n+2)*n+(2*n+3)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=3,a(2)=5,a(3)=13} ogf] A084173 5.08739 [(27*f(x)-14)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+4*x^3+3*f(x)*x-3*x^2-f(x)+1) ogf] A084173 9.40819 [-(4*x^3-3*x^2+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A084173 9.75452 [-(-3+5*x-4*x^4+9*x^3+8*x^5-7*x^2)/(x-1)/(2*x-1)/(x+1)/(4*x^3-3*x^2+1) lgdogf] A084174 10.2420 [-(-1-x-8*x^3+6*x^4+2*x^5+6*x^2)/(x-1)/(2*x-1)/(x+1)/(x^3+x^2-2*x+1) lgdogf] A084174 3.72382 [{(2*n+4)*a(n+1)-a(n+2)*n+(-2*n-3)*a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A084174 5.00056 [(243*f(x)-97)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A084174 9.09194 [-(x^3+x^2-2*x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A084175 14.5923 [x/(x-1)/(2*x+1)/(4*x-1) ogf] A084175 16.1749 [-3*(-1-4*x+8*x^2)/(x-1)/(2*x+1)/(-1+4*x) lgdogf] A084175 5.91578 [{-a(n+3)+3*a(n+2)+6*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A084175 6.37525 [-(3*f(x)+1)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-x) ogf] A084177 10.8120 [-x*(x-1)/(2*x-1)/(5*x-1)/(x+1) ogf] A084177 12.3538 [-(5-6*x+20*x^3-27*x^2)/(x-1)/(2*x-1)/(5*x-1)/(x+1) lgdogf] A084177 5.59909 [{-a(n+3)+6*a(n+2)-3*a(n+1)-10*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A084177 7.29185 [10*f(x)*x^3+3*f(x)*x^2-6*f(x)*x+x^2+f(x)-x ogf] A084178 13.2234 [-x*(x+1)/(2*x+1)/(x^2+x-1) ogf] A084178 20.0877 [-x*(6+4*x^2+9*x)/(2*x+1)/(x+1)/(x^2+x-1) lgdogf] A084178 6.85213 [{a(n+3)+a(n+2)-3*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A084178 7.3178 [-f(x)*(2*f(x)*x^3+3*f(x)*x^2-f(x)*x+x^2-f(x)+x) ogf] A084179 16.4564 [-x/(2*x+1)/(x^2+x-1) ogf] A084179 23.8296 [-(-1+6*x+6*x^2)/(2*x+1)/(x^2+x-1) lgdogf] A084179 6.67150 [{-a(n+3)-a(n+2)+3*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=-1} ogf] A084179 7.48016 [(f(x)-1)*(2*f(x)*x^3+3*f(x)*x^2-f(x)*x-f(x)+x) ogf] A084180 2.95621 [-4*f(x)*x^2+5*f(x)*x-f(x)+2*x ogf] A084180 4.71397 [2*x/(4*x-1)/(x-1) ogf] A084180 6.94674 [-(-5+8*x)/(4*x-1)/(-1+x) lgdogf] A084181 12.6018 [-(4*x^2+2*x+1)/(2*x+1)/(2*x-1)/(x+1) ogf] A084181 6.86347 [{-a(n+3)-a(n+2)+4*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A084181 6.86348 [(19*f(x)+9)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x+4*x^2-f(x)+2*x+1) ogf] A084182 13.1654 [-(3*x^2+1)/(x+1)/(3*x-1) ogf] A084182 15.8018 [2*(-1-6*x+3*x^2)/(3*x-1)/(x+1)/(3*x^2+1) lgdogf] A084182 6.26315 [{-a(n+3)+2*a(n+2)+3*a(n+1),a(0)=1,a(1)=2,a(2)=10} ogf] A084182 7.08905 [(14*f(x)-13)*(3*f(x)*x^2+2*f(x)*x+3*x^2-f(x)+1) ogf] A084183 11.1216 [-(1+12*x+16*x^3+8*x^4+22*x^2)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2+2*x+1) lgdogf] A084183 11.2844 [-x*(2*x^2+2*x+1)/(2*x+1)/(2*x-1)/(x+1) ogf] A084183 5.59911 [{-a(n+4)-a(n+3)+4*a(n+2)+4*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=5} ogf] A084183 6.32313 [(73*f(x)+1)*(4*f(x)*x^3+4*f(x)*x^2+2*x^3-f(x)*x+2*x^2-f(x)+x) ogf] A084184 12.7180 [x*(2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A084184 7.75799 [(124*f(x)-29)*(4*f(x)*x^4-5*f(x)*x^2-2*x^3-2*x^2+f(x)-x) ogf] A084184 9.23437 [-2*(-1-7*x+8*x^5+8*x^3+12*x^4-5*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2+2*x+1) lgdogf] A084211 7.13269 [1+(-2-18*x+20*x^2)*f(x)+(61*x^2-180*x^3+1+18*x+100*x^4)*f(x)^2 lgdogf] A084213 12.4124 [(2*x^2-2*x+1)/(4*x-1)/(2*x-1) ogf] A084213 6.38695 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=1,a(1)=4,a(2)=18} ogf] A084213 6.78203 [(109+147*f(x))*(8*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A084214 14.9850 [-(x^2+1)/(x+1)/(2*x-1) ogf] A084214 21.1847 [(-1-6*x+x^2)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A084214 7.19870 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=4} ogf] A084214 8.06886 [(27*f(x)-26)*(2*f(x)*x^2+f(x)*x+x^2-f(x)+1) ogf] A084215 10.7201 [-(3*f(x)-1)*(2*f(x)*x+x^2-f(x)+1) ogf] A084215 19.6100 [-(x^2+1)/(2*x-1) ogf] A084215 28.2109 [2*(-1-x+x^2)/(2*x-1)/(x^2+1) lgdogf] A084215 9.57155 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=5} ogf] A084219 11.5632 [-(x+1)^2/(x-1)/(2*x+1)^2 ogf] A084219 18.4720 [-(-1+5*x+2*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A084219 6.45103 [(16*f(x)+25)*(4*f(x)*x^3-3*f(x)*x+x^2-f(x)+2*x+1) ogf] A084219 6.51967 [{a(n+3)+3*a(n+2)-4*a(n),a(0)=1,a(1)=-1,a(2)=4} ogf] A084221 12.0002 [(8*f(x)+1)*(4*f(x)*x^2-f(x)+3*x+1) ogf] A084221 12.5627 [{a(n+2)-4*a(n),a(0)=1,a(1)=3} ogf] A084221 16.4563 [-1/2*ln(5/2)+1/2*ln(3/2+2*x+(1+4*x^2+6*x)^(1/2)) revegf] A084221 19.6100 [-(3*x+1)/(2*x-1)/(2*x+1) ogf] A084221 20.2540 [-(3+8*x+12*x^2)/(2*x+1)/(2*x-1)/(3*x+1) lgdogf] A084222 15.5503 [-(4*x+1)/(3*x+1)/(x-1) ogf] A084222 17.3750 [1/2/(4+3*x)*(-1+2*x+(1+12*x+16*x^2)^(1/2)) revogf] A084222 19.2040 [-2*(1+3*x+6*x^2)/(x-1)/(3*x+1)/(4*x+1) lgdogf] A084222 7.6897 [-(13*f(x)-22)*(3*f(x)*x^2-2*f(x)*x-f(x)+4*x+1) ogf] A084222 8.53368 [{-a(n+2)-2*a(n+1)+3*a(n),a(0)=1,a(1)=2} ogf] A084231 4.663 [(1585186411*f(x)-20091030)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)+142*x+1) ogf] A084231 5.08343 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=1,a(1)=337,a(2)=65521} ogf] A084231 9.25640 [-(x^2+142*x+1)/(x-1)/(x^2-194*x+1) ogf] A084232 12.3336 [-1/2*(-1-194*x+((168*x+1)*(224*x+1))^(1/2))/(x-1) revogf] A084232 13.0830 [(x+1)/(x^2-194*x+1) ogf] A084232 17.7748 [-(x+15)*(x-13)/(x+1)/(x^2-194*x+1) lgdogf] A084232 6.61183 [(37828*f(x)+197)*(f(x)*x^2-194*f(x)*x+f(x)-x-1) ogf] A084232 7.15001 [{-a(n+2)+194*a(n+1)-a(n),a(0)=1,a(1)=195} ogf] A084240 16.2181 [(5*x+1)/(x+1)/(4*x+1) ogf] A084240 17.6544 [-1/2*(5*x-1+((1+x)*(1+9*x))^(1/2))/(-5+4*x) revogf] A084240 8.58604 [(f(x)-1)*(4*f(x)*x^2+5*f(x)*x+f(x)-5*x-1) ogf] A084240 9.01005 [{-a(n+2)-5*a(n+1)-4*a(n),a(0)=1,a(1)=0} ogf] A084241 11.3479 [4*f(x)*x^2+5*f(x)*x+f(x)-x ogf] A084241 17.0365 [1/8*(-5*x+1+(x-1)^(1/2)*(-1+9*x)^(1/2))/x revogf] A084241 18.0953 [x/(x+1)/(4*x+1) ogf] A084241 31.7499 [-(5+8*x)/(x+1)/(4*x+1) lgdogf] A084241 8.26577 [{-a(n+2)-5*a(n+1)-4*a(n),a(0)=0,a(1)=1} ogf] A084244 15.8933 [-3*f(x)*x-f(x)+8*x+1 ogf] A084244 19.3296 [(8*x+1)/(3*x+1) ogf] A084244 19.6016 [-1/16+3/16*x+1/16*(1+26*x+9*x^2)^(1/2) revogf] A084244 43.8153 [5/(3*x+1)/(8*x+1) lgdogf] A084244 9.93329 [{a(n+2)+3*a(n+1),a(0)=1,a(1)=5} ogf] A084247 16.2996 [-(3*x+1)/(2*x+1)/(x-1) ogf] A084247 19.8923 [1/2/(3+2*x)*(x-1+((1+x)*(1+9*x))^(1/2)) revogf] A084247 20.4158 [-2*(1+2*x+3*x^2)/(x-1)/(2*x+1)/(3*x+1) lgdogf] A084247 8.24138 [-(f(x)-1)*(2*f(x)*x^2-f(x)*x-f(x)+3*x+1) ogf] A084247 8.94491 [{a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=2} ogf] A084253 12.0480 [(-6+8*x-9*x^2+3*x^3)/(x-1)/(3*x^3-5*x^2+2*x+2) lgdegf] A084253 5.39232 [(400*f(x)+637)*(2*f(x)*x^2-3*x^3-4*f(x)*x+5*x^2+2*f(x)-2*x-2) egf] A084253 9.28185 [1/2*(3*x^3-5*x^2+2*x+2)/(x-1)^2 egf] A084259 4.67866 [{(-n^3-10*n^2-31*n-30)*a(n+1)+a(n+2),a(0)=6,a(1)=48} ogf] A084261 4.12462 [{(-n-2)*a(n+1)+(n+2)*a(n+2)-2*a(n+4)+4*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A084262 30.0643 [-2+2*x+(1-2*x)*f(x) lgdegf] A084262 4.35074 [{(-2*n-4)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A084263 13.7326 [-(2*x^2-x+1)/(x+1)/(x-1)^3 ogf] A084263 19.5650 [-(1+6*x+4*x^3+x^2)/(x-1)/(x+1)/(2*x^2-x+1) lgdogf] A084263 7.15971 [(2104*f(x)-2301)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)-x+1) ogf] A084264 10.0057 [(x-1)*(4*x^2-3*x+1)/(2*x-1)^3 ogf] A084264 17.6136 [2*(1-x+x^2)/(x-1)/(2*x-1)/(4*x^2-3*x+1) lgdogf] A084264 5.22685 [{a(n+4)-6*a(n+3)+12*a(n+2)-8*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=22} ogf] A084264 5.74096 [(-31+76*f(x))*(8*f(x)*x^3-12*f(x)*x^2-4*x^3+6*f(x)*x+7*x^2-f(x)-4*x+1) ogf] A084265 13.0102 [(x^3-2*x^2-1)/(x+1)/(x-1)^3 ogf] A084265 16.9328 [-(-2-8*x-2*x^3+x^4-x^2)/(x-1)/(x+1)/(x^3-2*x^2-1) lgdogf] A084265 6.98896 [(1384*f(x)-4765)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+2*x^2-f(x)+1) ogf] A084266 10.1019 [(4*x^3-5*x^2+3*x-1)/(2*x-1)^3 ogf] A084266 16.1317 [-(-3+2*x+2*x^2)/(2*x-1)/(4*x^3-5*x^2+3*x-1) lgdogf] A084266 5.23802 [{a(n+4)-6*a(n+3)+12*a(n+2)-8*a(n+1),a(0)=1,a(1)=3,a(2)=11,a(3)=34} ogf] A084266 5.74904 [(36*f(x)-131)*(8*f(x)*x^3-12*f(x)*x^2-4*x^3+6*f(x)*x+5*x^2-f(x)-3*x+1) ogf] A084267 14.2991 [x^11-x^9-x^5+x^4+x^2+x+2 ogf_with_Euler_transform] A084267 5.48387 [(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^4 ogf] A084267 6.14903 [-(2*x+10*x^6-x^3+4*x^4-6*x^5+3*x^2+8*x^12-6*x^11+10*x^10-13*x^9+15*x^8-4*x^7+2)/(x-1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A084326 11.9581 [-4*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A084326 12.9964 [-1/8*(-1-6*x+(2*x+1)^(1/2)*(10*x+1)^(1/2))/x revogf] A084326 21.3796 [x/(4*x^2-6*x+1) ogf] A084326 22.8737 [-2*(-3+4*x)/(4*x^2+1-6*x) lgdogf] A084326 8.71021 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A084327 2.99031 [-9*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A084327 5.34633 [x/(9*x^2-9*x+1) ogf] A084327 7.04058 [-9*(2*x-1)/(9*x^2+1-9*x) lgdogf] A084328 12.7176 [-1/22*(-1-13*x+(1+26*x+125*x^2)^(1/2))/x revogf] A084328 14.7822 [x/(11*x^2-13*x+1) ogf] A084328 6.23345 [{a(n+2)-13*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A084328 8.48158 [-11*f(x)*x^2+13*f(x)*x-f(x)+x ogf] A084329 12.6786 [-1/40*(-1-20*x+(1+40*x+320*x^2)^(1/2))/x revogf] A084329 14.7327 [x/(20*x^2-20*x+1) ogf] A084329 18.1123 [-20*(-1+2*x)/(20*x^2+1-20*x) lgdogf] A084329 6.21258 [{a(n+2)-20*a(n+1)+20*a(n),a(0)=0,a(1)=1} ogf] A084329 8.45319 [-20*f(x)*x^2+20*f(x)*x-f(x)+x ogf] A084330 10.8981 [-29*f(x)*x^2+31*f(x)*x-f(x)+x ogf] A084330 16.4028 [-1/58*(-1-31*x+(1+62*x+845*x^2)^(1/2))/x revogf] A084330 18.9939 [x/(29*x^2-31*x+1) ogf] A084330 24.3005 [-(-31+58*x)/(29*x^2+1-31*x) lgdogf] A084330 8.00946 [{a(n+2)-31*a(n+1)+29*a(n),a(0)=0,a(1)=1} ogf] A084338 13.3567 [-(2*x^2+2*x+1)/(x^3+x^2-1) ogf] A084338 14.3482 [-(2+6*x+2*x^4+4*x^3+5*x^2)/(2*x^2+2*x+1)/(x^3+x^2-1) lgdogf] A084338 8.09928 [{-a(n+3)+a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A084338 8.18637 [(2*f(x)+1)*(f(x)*x^3+f(x)*x^2+2*x^2-f(x)+2*x+1) ogf] A084351 6.78560 [4*(1+2*x^9+12*x^7+6*x+3*x^8+5*x^6+20*x^3+12*x^4+24*x^5+3*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^8-4*x^6-4*x^5-18*x^4-4*x^3-12*x^2-4*x-1) lgdogf] A084351 8.87216 [-(3*x^8-4*x^6-4*x^5-18*x^4-4*x^3-12*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A084357 21.0700 [1/exp(1)/(x-1)^2*exp(-1/(x-1)) lgdegf] A084364 8.38833 [-(91*x^8+82*x^7+73*x^6+64*x^5+55*x^4+46*x^3+37*x^2+28*x+19)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A084367 18.7643 [-2*(25+22*x+x^2)/(-1+x)/(x^2+14*x+9) lgdogf] A084367 4.66791 [(1289952*f(x)+11007839)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-14*x^2+f(x)-9*x) ogf] A084367 9.27274 [x*(x^2+14*x+9)/(x-1)^4 ogf] A084376 17.4914 [-(x^2-2*x+2)/(x-1) ogf_with_Euler_transform] A084377 14.1880 [-2*(-4+5*x+3*x^3-16*x^2)/(x-1)/(6*x^3-25*x^2+20*x-7) lgdogf] A084377 3.74394 [{(1183*n^2+6491*n+8250)*a(n+1)+(-2081*n^2-8845*n-7902)*a(n+2)+(898*n^2+3209*n+1545)*a(n+3),a(0)=7,a(1)=8,a(2)=15} ogf] A084377 5.15432 [-(93*f(x)+653)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+6*x^3-4*f(x)*x-25*x^2+f(x)+20*x-7) ogf] A084377 9.52572 [-(6*x^3-25*x^2+20*x-7)/(x-1)^4 ogf] A084378 15.0506 [-(-11-5*x+3*x^3-11*x^2)/(x-1)/(3*x^3-10*x^2+5*x-4) lgdogf] A084378 3.95863 [{(265*n^2+1409*n+1758)*a(n+1)+(-407*n^2-1525*n-1122)*a(n+2)+(142*n^2+485*n+177)*a(n+3),a(0)=3,a(1)=4,a(2)=11} ogf] A084378 5.4919 [(174*f(x)+643)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-13*x^2+f(x)+8*x-3) ogf] A084378 9.99808 [-(2*x^3-13*x^2+8*x-3)/(x-1)^4 ogf] A084379 13.2554 [-(-25+37*x+17*x^3-53*x^2)/(x-1)/(17*x^3-52*x^2+47*x-18) lgdogf] A084379 5.20486 [(432*f(x)+7607)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+16*x^3-4*f(x)*x-55*x^2+f(x)+50*x-17) ogf] A084379 9.38159 [-(16*x^3-55*x^2+50*x-17)/(x-1)^4 ogf] A084380 17.3863 [-2*(x-5)*(x^2+x+1)/(x-1)/(2*x^3-7*x^2+2*x-3) lgdogf] A084380 3.95863 [{(547*n^2+2849*n+3510)*a(n+1)+(-764*n^2-2560*n-1488)*a(n+2)+(217*n^2+701*n+150)*a(n+3),a(0)=2,a(1)=3,a(2)=10} ogf] A084380 5.4535 [(684*f(x)+2029)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-10*x^2+f(x)+5*x-2) ogf] A084380 9.99808 [-(x^3-10*x^2+5*x-2)/(x-1)^4 ogf] A084381 15.3578 [-(-13+x+5*x^3-17*x^2)/(x-1)/(5*x^3-16*x^2+11*x-6) lgdogf] A084381 3.91884 [{(643*n^2+3491*n+4410)*a(n+1)+(-1082*n^2-4429*n-3756)*a(n+2)+(439*n^2+1550*n+699)*a(n+3),a(0)=5,a(1)=6,a(2)=13} ogf] A084381 5.41563 [(360*f(x)+1901)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-19*x^2+f(x)+14*x-5) ogf] A084381 9.87152 [-(4*x^3-19*x^2+14*x-5)/(x-1)^4 ogf] A084382 14.4718 [-2*(-7+2*x+3*x^3-10*x^2)/(x-1)/(6*x^3-19*x^2+14*x-7) lgdogf] A084382 3.78568 [{(3571*n^2+19505*n+24726)*a(n+1)+(-6164*n^2-25792*n-22560)*a(n+2)+(2593*n^2+9221*n+4326)*a(n+3),a(0)=6,a(1)=7,a(2)=14} ogf] A084382 5.26926 [-(732*f(x)+4489)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-22*x^2+f(x)+17*x-6) ogf] A084382 9.87152 [-(5*x^3-22*x^2+17*x-6)/(x-1)^4 ogf] A084385 7.12779 [-(2*x^10-5*x^9+2*x^8+2*x^7-2*x^6+3*x^5-3*x^4+x^3-2*x^2-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A084386 25.5004 [-1/(3*x^3+x-1) ogf] A084386 31.5344 [-(1+9*x^2)/(-1+x+3*x^3) lgdogf] A084386 7.86716 [{-a(n+3)+a(n+2)+3*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A084386 9.12978 [(f(x)-1)*(3*f(x)*x^3+f(x)*x-f(x)+1) ogf] A084391 7.74965 [2*(1+3*x+33*x^4+12*x^3+36*x^9-18*x^8+12*x^6+6*x^2)/(6*x^4-1)/(6*x^6-6*x^5-4*x^3-3*x^2-2*x-1) lgdogf] A084391 9.96600 [(6*x^6-6*x^5-4*x^3-3*x^2-2*x-1)/(6*x^4-1) ogf] A084399 2.99032 [-(3*x^3-23*x^2+4*x+11)/(3*x^2-1) ogf_with_Euler_transform] A084399 7.58333 [-(11+8*x)/(x+1)/(2*x-1) lgdogf] A084431 14.0864 [-(x+1)*(5*x+1)/(2*x-1)/(2*x+1) ogf] A084431 14.7064 [-6*(1+3*x+4*x^2)/(5*x+1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A084431 8.21705 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=6,a(2)=9} ogf] A084431 8.52138 [-(25*f(x)+39)*(4*f(x)*x^2+5*x^2-f(x)+6*x+1) ogf] A084439 10.8892 [-(3+6*x+14*x^6+17*x^5+20*x^4+15*x^3+15*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A084439 29.2719 [x^4+2*x^2+3 ogf_with_Euler_transform] A084439 6.56759 [1/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A084446 21.5306 [x^6+2*x^4+3*x^2+4 ogf_with_Euler_transform] A084477 14.9757 [(1-4*x+12*x^2)/(6*x-1)/(2*x^2+11*x-2) lgdogf] A084477 15.0640 [2*(2*x^2+11*x-2)/(6*x-1) ogf] A084477 8.24932 [{-a(n+3)+6*a(n+2),a(0)=4,a(1)=2,a(2)=8} ogf] A084477 9.11769 [(f(x)-4)*(6*f(x)*x-4*x^2-f(x)-22*x+4) ogf] A084478 4.38865 [(79*f(x)-127)*(380*f(x)*x^4+280*f(x)*x^3-20*x^4+103*f(x)*x^2-40*x^3+2*f(x)*x-31*x^2-f(x)-2*x+1) ogf] A084478 8.20142 [-24*(15*x^2+10*x+3)/(380*x^4+280*x^3+103*x^2+2*x-1) ogf] A084479 4.82646 [(1229*f(x)-13800)*(20*f(x)*x^4+40*f(x)*x^3+31*f(x)*x^2+2*f(x)*x+360*x^2-f(x)+240*x+72) ogf] A084479 6.58169 [-8*(x+1)*(75*x^4+75*x^3+55*x^2+25*x+2)/(15*x^2+10*x+3)/(20*x^4+40*x^3+31*x^2+2*x-1) lgdogf] A084479 9.02609 [-24*(15*x^2+10*x+3)/(20*x^4+40*x^3+31*x^2+2*x-1) ogf] A084480 6.83629 [-(5-3*x+12*x^6+6*x^8+10*x^7+2*x^9-10*x^3+2*x^4+2*x^5)/(x+1)/(x^3+x-1)/(2*x^6+4*x^5+4*x^4+x^3-2*x^2-4*x+1) lgdogf] A084480 8.59631 [-(x^3+2*x-1)/(2*x^6+4*x^5+4*x^4+x^3-2*x^2-4*x+1) ogf] A084481 10.3072 [2*(x^3+x-1)*(x+1)^2/(x^3+2*x-1) ogf] A084481 10.7868 [(3-5*x+4*x^2-2*x^3+8*x^4+2*x^6)/(x+1)/(x^3+x-1)/(x^3+2*x-1) lgdogf] A084485 6.77958 [(33*x^4-17*x^3+3*x^2-3*x+1)/(3*x-1)^3/(2*x-1)^3 ogf] A084500 4.82902 [-x*(x^24-x^23+x^21-x^20+x^18-x^17+x^15-x^14+x^12-x^11+x^9-x^8+x^7+x^4-x^3-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A084506 14.0968 [(-2+8*x^9-9*x^8+32*x^33-33*x^32+2*x^3-3*x^2)/(x-1)/(x^33+x^9+x^3+x+1) lgdogf] A084506 15.9886 [-(x^33+x^9+x^3+x+1)/(x-1) ogf] A084508 11.2378 [-x*(2*x^2+2*x-1)/(4*x-1)/(x-1) ogf] A084508 14.3386 [-3*(1-4*x+6*x^2)/(x-1)/(4*x-1)/(2*x^2+2*x-1) lgdogf] A084508 5.66865 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=0,a(1)=1,a(2)=3,a(3)=9} ogf] A084508 6.8877 [-f(x)*(4*f(x)*x^2+2*x^3-5*f(x)*x+2*x^2+f(x)-x) ogf] A084509 13.8422 [(2*x^2+2*x-1)/(4*x-1) ogf] A084509 16.0575 [2*(1-2*x+4*x^2)/(-1+4*x)/(2*x-1+2*x^2) lgdogf] A084509 7.41545 [{-a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A084509 8.71313 [-(f(x)-1)*(-2*x^3+4*f(x)*x-2*x^2-f(x)-3*x+1) ogf] A084515 11.6744 [x*(x^18+x^5+x^2+x+1)/(x-1)^2 ogf] A084515 13.9610 [(-3-3*x+16*x^18-18*x^17-5*x^4+3*x^5)/(x-1)/(x^18+x^5+x^2+x+1) lgdogf] A084518 10.6065 [-(2*x^2+2*x-1)/(x-1)/(2*x^3+2*x^2+3*x-1) ogf] A084518 5.62604 [-(3*f(x)+7)*(2*f(x)*x^4+f(x)*x^2-4*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A084518 8.80721 [-2*(2*x^2+1)*(2*x^3+3*x^2-3*x+1)/(x-1)/(2*x^2+2*x-1)/(2*x^3+2*x^2+3*x-1) lgdogf] A084519 10.4482 [(2*x^2+2*x-1)/(2*x^3+2*x^2+3*x-1) ogf] A084519 10.9555 [-(-1-8*x^2+8*x^3+4*x^4)/(2*x^2+2*x-1)/(2*x^3+2*x^2+3*x-1) lgdogf] A084519 5.54206 [-(f(x)+3)*(2*f(x)*x^3+2*f(x)*x^2+3*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A084519 5.69052 [{-a(n+3)+3*a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A084525 11.4612 [x*(x^17+x^5+x^2+x+1)/(x-1)^2 ogf] A084525 13.7032 [(-3-3*x+15*x^17-17*x^16-5*x^4+3*x^5)/(x-1)/(x^17+x^5+x^2+x+1) lgdogf] A084537 2.04278 [-(4*f(x)-3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A084537 3.85113 [-(3*x^2-2*x+1)/(x-1)^3 ogf] A084537 6.35871 [-(1+2*x+3*x^2)/(-1+x)/(3*x^2-2*x+1) lgdogf] A084543 12.7893 [-(-3+14*x)/(2*x-1)/(2*x+1) lgdegf] A084544 4.35891 [(60*x^20+6*x^16+x^15+x^14+x^13+7*x^12+x^11+x^10+x^9+7*x^8+x^7+x^6+x^5+7*x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A084554 4.42732 [(f(x)-1)^2*(-28453750*x^5+471372*f(x)*x^2-4530*f(x)*x-471372*x^2+25*f(x)+4530*x-25) ogf] A084556 14.0968 [(-2+8*x^9-9*x^8+32*x^33-33*x^32+2*x^3-3*x^2)/(x-1)/(x^33+x^9+x^3+x+1) lgdogf] A084556 14.7260 [-x*(x^33+x^9+x^3+x+1)/(x-1) ogf] A084557 4.82902 [-x*(x^24-x^23+x^21-x^20+x^18-x^17+x^15-x^14+x^12-x^11+x^9-x^8+x^7+x^4-x^3-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A084558 18.3524 [(-2+4*x^5-5*x^4+22*x^23-23*x^22)/(x-1)/(x^23+x^5+x+1) lgdogf] A084567 11.0545 [3*f(x)*x^2-2*f(x)*x-f(x)+2*x+1 ogf] A084567 15.4762 [-(2*x+1)/(3*x+1)/(x-1) ogf] A084567 17.7988 [1/2/(2+3*x)*(-1+2*x+(4*x+1+16*x^2)^(1/2)) revogf] A084567 22.8047 [-6*x*(x+1)/(x-1)/(2*x+1)/(3*x+1) lgdogf] A084567 8.59790 [{-a(n+2)-2*a(n+1)+3*a(n),a(0)=1,a(1)=0} ogf] A084568 14.0163 [-(x+1)*(4*x+1)/(2*x-1)/(2*x+1) ogf] A084568 14.6318 [-(5+16*x+20*x^2)/(4*x+1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A084568 8.17617 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=5,a(2)=8} ogf] A084568 9.03681 [(16*f(x)+9)*(4*f(x)*x^2+4*x^2-f(x)+5*x+1) ogf] A084569 10.1761 [-(2*x^2-x+1)/(x+1)/(x-1)^5 ogf] A084569 17.4707 [-(3+6*x+8*x^3+3*x^2)/(x-1)/(x+1)/(2*x^2-x+1) lgdogf] A084570 10.4915 [(2*x^2-x+1)/(x+1)/(x-1)^4 ogf] A084570 18.8697 [-2*(3*x+1)*(1+x^2)/(x-1)/(x+1)/(2*x^2-x+1) lgdogf] A084601 27.9457 [-(1+7*x)/(7*x^2-1+2*x) lgdogf] A084601 4.15683 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=1,a(1)=1,a(2)=5} ogf] A084601 9.96319 [7*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A084603 25.8217 [-(1+11*x)/(11*x^2-1+2*x) lgdogf] A084603 4.16074 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-22-11*n)*a(n+1),a(0)=1,a(1)=1,a(2)=7} ogf] A084603 9.88176 [11*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A084605 24.0806 [-(1+15*x)/(3*x+1)/(5*x-1) lgdogf] A084605 4.04313 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-30-15*n)*a(n+1),a(0)=1,a(1)=1,a(2)=9} ogf] A084605 9.60245 [15*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A084607 2.80923 [4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A084607 6.94674 [-2*(2*x+1)/(4*x^2-1+4*x) lgdogf] A084609 24.2131 [-2*(1+4*x)/(8*x^2-1+4*x) lgdogf] A084609 3.87895 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(-16-8*n)*a(n+1),a(0)=1,a(1)=2,a(2)=10} ogf] A084609 9.42032 [-8*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A084630 6.91616 [-(x^10-x^9+x^7-x^6+x^5-x^4+x^3-x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^3 ogf] A084633 14.2385 [2*f(x)*x-2*x^2+f(x)-2*x-1 ogf] A084633 16.7698 [(2*x^2+2*x+1)/(2*x+1) ogf] A084633 25.8221 [4*x*(x+1)/(2*x+1)/(2*x^2+2*x+1) lgdogf] A084633 9.09206 [{-a(n+3)-2*a(n+2),a(0)=1,a(1)=0,a(2)=2} ogf] A084634 11.1483 [(3*x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A084634 14.5240 [-(-2+8*x-15*x^2+12*x^3)/(x-1)/(-1+2*x)/(3*x^2-3*x+1) lgdogf] A084634 4.99501 [{(-2*n-4)*a(n+1)+(3*n+2)*a(n+2)-a(n+3)*n,a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A084634 5.872 [(31*f(x)+16)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A084635 7.11012 [-(5*x^4-10*x^3+10*x^2-5*x+1)/(2*x-1)/(x-1)^4 ogf] A084635 8.55467 [-(-1+5*x-10*x^4+10*x^3+10*x^5-10*x^2)/(x-1)/(2*x-1)/(5*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A084636 5.56195 [(2*x^2-2*x+1)*(x^4-2*x^3+5*x^2-4*x+1)/(2*x-1)/(x-1)^5 ogf] A084636 7.59348 [-(-1+6*x-15*x^4+20*x^3+10*x^6-15*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1)/(x^4-2*x^3+5*x^2-4*x+1) lgdogf] A084637 5.81587 [-(7*x^6-21*x^5+35*x^4-35*x^3+21*x^2-7*x+1)/(2*x-1)/(x-1)^6 ogf] A084637 6.31607 [-(-1+7*x-35*x^4+35*x^3+14*x^7-14*x^6+21*x^5-21*x^2)/(x-1)/(2*x-1)/(7*x^6-21*x^5+35*x^4-35*x^3+21*x^2-7*x+1) lgdogf] A084638 4.84053 [(2*x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1)/(2*x-1)/(x-1)^7 ogf] A084638 5.63183 [-(-1+8*x-70*x^4+56*x^3+14*x^8-28*x^6+56*x^5-28*x^2)/(x-1)/(2*x-1)/(2*x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1) lgdogf] A084639 13.9817 [x*(2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A084639 16.0485 [-2*(-2-x+4*x^3+2*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A084639 7.17979 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A084639 7.4482 [(4*f(x)+1)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)-x) ogf] A084640 12.5861 [x*(3*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A084640 14.1402 [-(-5-2*x+12*x^3+3*x^2)/(x-1)/(2*x-1)/(3*x+1)/(x+1) lgdogf] A084640 6.29305 [-(22*f(x)-133)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-3*x^2+f(x)-x) ogf] A084640 6.46314 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A084641 3.64255 [-x*(272*x^6-816*x^5+96*x^4+1168*x^3-606*x^2-114*x-1)/(2*x-1)^8 ogf] A084642 10.3260 [{-a(n+4)+a(n+2),a(0)=1,a(1)=3,a(2)=1,a(3)=2} ogf] A084642 13.2172 [(4*f(x)-9)*(f(x)*x^2-x^3-f(x)+3*x+1) ogf] A084642 20.2305 [(x^3-3*x-1)/(x-1)/(x+1) ogf] A084642 27.7908 [(3+2*x+x^4)/(x-1)/(x+1)/(x^3-3*x-1) lgdogf] A084643 10.7476 [-(-3+17*x-44*x^2+48*x^3)/(3*x-1)/(-1+2*x)/(8*x^2-5*x+1) lgdogf] A084643 5.0742 [-(15*f(x)+41)*(18*f(x)*x^3-21*f(x)*x^2+8*f(x)*x+8*x^2-f(x)-5*x+1) ogf] A084643 5.25070 [{a(n+3)-8*a(n+2)+21*a(n+1)-18*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A084643 9.58460 [-(8*x^2-5*x+1)/(2*x-1)/(3*x-1)^2 ogf] A084672 10.6865 [-(2*x^4+x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A084672 15.1724 [-(2*x^2+1)*(x^2+2)*(x+1)^2/(x-1)/(x^2+x+1)/(2*x^4+x^2+1) lgdogf] A084672 5.58458 [-(f(x)-1)*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3+2*x^4-f(x)*x^2+2*f(x)*x+x^2-f(x)+1) ogf] A084683 10.5201 [-(2*x^6+2*x^3+1)/(x-1)/(x^6-x^5-x^4+x^3-x^2-x+1) ogf] A084683 12.8827 [-(2-9*x^6+2*x^12)/(x-1)/(2*x^6+2*x^3+1)/(x^6-x^5-x^4+x^3-x^2-x+1) lgdogf] A084684 14.9947 [-f(x)*x^4+2*f(x)*x^3-2*x^3-2*f(x)*x+f(x)-1 ogf] A084684 22.3605 [-(2*x^3+1)/(x+1)/(x-1)^3 ogf] A084684 5.56572 [{(-n^2-7*n-10)*a(n+1)+(n^2+5*n+2)*a(n+2)+(n^2+7*n+8)*a(n+3)+(-n^2-5*n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A084703 11.2059 [-2*(18-35*x-16*x^2+x^3)/(x-1)/(x+1)/(x^2-34*x+1) lgdogf] A084703 4.74957 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=144} ogf] A084703 5.01101 [(9*f(x)+1)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+4*x^2-f(x)+4*x) ogf] A084703 9.25763 [-4*x*(x+1)/(x-1)/(x^2-34*x+1) ogf] A084707 12.3432 [-(3-14*x^3+3*x^6)/(x-1)/(x+1)/(x^2-3*x+1)/(3*x^3+1) lgdogf] A084707 13.0557 [-(3*x^3+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A084707 6.95488 [(f(x)-1)*(f(x)*x^4-3*f(x)*x^3+3*x^3+3*f(x)*x-f(x)+1) ogf] A084768 11.0936 [f(x)^2*x^2-14*f(x)^2*x+f(x)^2-1 ogf] A084768 34.9003 [-(-7+x)/(x^2+1-14*x) lgdogf] A084768 4.64044 [{(-n-3)*a(n+3)+(35+14*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=7,a(2)=73} ogf] A084769 26.2072 [-(-9+x)/(x^2+1-18*x) lgdogf] A084769 3.47712 [{(-n-3)*a(n+3)+(45+18*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=9,a(2)=121} ogf] A084769 8.36683 [f(x)^2*x^2-18*f(x)^2*x+f(x)^2-1 ogf] A084770 15.7300 [(-2*x+(20*x^2+1)^(1/2))/(1+16*x^2)*x revogf] A084770 22.6512 [-2*(1+8*x)/(16*x^2-1+4*x) lgdogf] A084770 3.75623 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(-32-16*n)*a(n+1),a(0)=1,a(1)=2,a(2)=14} ogf] A084770 9.03843 [16*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A084771 25.7893 [-(-5+9*x)/(9*x-1)/(x-1) lgdogf] A084771 3.92946 [{(-n-3)*a(n+3)+(25+10*n)*a(n+2)+(-18-9*n)*a(n+1),a(0)=1,a(1)=5,a(2)=33} ogf] A084771 9.45528 [-9*f(x)^2*x^2+10*f(x)^2*x-f(x)^2+1 ogf] A084772 13.0103 [-(-6*x+(20*x^2+1)^(1/2))*x/(-1+4*x)/(1+4*x) revogf] A084772 20.7201 [-2*(-3+8*x)/(16*x^2+1-12*x) lgdogf] A084772 3.68530 [{(-n-3)*a(n+3)+(30+12*n)*a(n+2)+(-32-16*n)*a(n+1),a(0)=1,a(1)=6,a(2)=46} ogf] A084772 8.78802 [16*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 ogf] A084773 11.6072 [-4*f(x)^2*x^2+12*f(x)^2*x-f(x)^2+1 ogf] A084773 19.6767 [-2*(-3+2*x)/(4*x^2+1-12*x) lgdogf] A084773 4.85531 [{(-n-3)*a(n+3)+(30+12*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=1,a(1)=6,a(2)=52} ogf] A084774 22.5208 [-(-7+9*x)/(9*x^2+1-14*x) lgdogf] A084774 3.58481 [{(-n-3)*a(n+3)+(35+14*n)*a(n+2)+(-18-9*n)*a(n+1),a(0)=1,a(1)=7,a(2)=69} ogf] A084774 8.62595 [9*f(x)^2*x^2-14*f(x)^2*x+f(x)^2-1 ogf] A084781 7.96577 [-x^3*f(x)^2-f(x)^2*x^2-f(x)^2*x+f(x)-1 ogf] A084782 7.10599 [f(x)^2*x+f(x)*x^2+f(x)*x-x^2-f(x)-x+1 ogf] A084804 7.92839 [-(6064*x^6-5*x^5-7*x^4-6*x^3-6*x^2-6071*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A084812 5.70503 [-(x^14-x^13+x^12-x^9-3*x^8+2*x^7+8*x^6-3*x^5-x^4+3*x^3-3*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A084847 10.5225 [-2*(-2+18*x+84*x^3-63*x^2)/(-1+3*x)/(-1+4*x)/(1+14*x^2-7*x) lgdogf] A084847 5.19156 [-(52*f(x)+103)*(48*f(x)*x^3-40*f(x)*x^2+11*f(x)*x+14*x^2-f(x)-7*x+1) ogf] A084847 5.46008 [{a(n+3)-11*a(n+2)+40*a(n+1)-48*a(n),a(0)=1,a(1)=4,a(2)=18} ogf] A084847 9.74414 [-(14*x^2-7*x+1)/(3*x-1)/(4*x-1)^2 ogf] A084849 13.3905 [-(2*x^2+x+1)/(x-1)^3 ogf] A084849 25.0418 [-2*(x+2)*(x+1)/(x-1)/(2*x^2+x+1) lgdogf] A084849 6.9814 [(1840*f(x)-2071)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+x+1) ogf] A084849 7.22852 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A084850 10.5786 [-(2*x^2-x+1)/(2*x-1)^3 ogf] A084850 21.4230 [-(5+4*x^2)/(2*x-1)/(2*x^2-x+1) lgdogf] A084850 5.75326 [(88*f(x)-13)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-x+1) ogf] A084850 5.75326 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=20} ogf] A084851 11.4597 [-(x-1)^2/(2*x-1)^3 ogf] A084851 30.3057 [-2*(-2+x)/(2*x-1)/(x-1) lgdogf] A084851 6.12499 [(236*f(x)-321)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+x^2-f(x)-2*x+1) ogf] A084851 6.23246 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A084857 11.3650 [-x*(4*x+1)/(2*x-1)^3 ogf] A084857 24.9723 [-2*(5+8*x)/(4*x+1)/(2*x-1) lgdogf] A084857 5.78217 [-(27*f(x)-13)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)+x) ogf] A084857 5.83335 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A084858 13.2839 [(x^2-x+1)/(2*x-1)^2 ogf] A084858 6.90243 [{a(n+3)-4*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A084858 9.91617 [-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-x+1 ogf] A084859 10.4820 [-2*(-2+10*x-19*x^2+15*x^3)/(3*x-1)/(-1+2*x)/(5*x^2-4*x+1) lgdogf] A084859 5.04286 [-(513*f(x)+223)*(18*f(x)*x^3-21*f(x)*x^2+8*f(x)*x+5*x^2-f(x)-4*x+1) ogf] A084859 5.30597 [{a(n+3)-8*a(n+2)+21*a(n+1)-18*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A084859 9.68549 [-(5*x^2-4*x+1)/(2*x-1)/(3*x-1)^2 ogf] A084860 11.0400 [-(x-1)*(x^2-x+1)/(2*x-1)^2 ogf] A084860 16.4958 [(2-3*x^2+2*x^3)/(x-1)/(-1+2*x)/(x^2-x+1) lgdogf] A084860 5.85598 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=6,a(3)=15} ogf] A084860 8.52452 [-4*f(x)*x^2-x^3+4*f(x)*x+2*x^2-f(x)-2*x+1 ogf] A084861 15.0286 [(1+3*x-6*x^2+4*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A084861 5.19554 [{-a(n+5)+4*a(n+4)-4*a(n+3),a(0)=1,a(1)=1,a(2)=4,a(3)=9,a(4)=21} ogf] A084861 5.788 [-(14*f(x)+9)*(-x^4+4*f(x)*x^2+3*x^3-4*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A084861 9.56280 [(x^2-x+1)*(x-1)^2/(2*x-1)^2 ogf] A084868 11.5362 [-2*(2*x+(-4*x+1)^(1/2))/(4*x^2+4*x-1)*(2*x-1)/(4*x-1) lgdogf] A084868 6.56804 [4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2-8*f(x)*x+2*f(x)+4*x-1 ogf] A084869 5.49189 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A084869 5.4919 [(f(x)-2)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+13*x^2-f(x)-7*x+1) ogf] A084869 8.28870 [-(2-26*x+137*x^2-336*x^3+312*x^4)/(3*x-1)/(-1+2*x)/(-1+4*x)/(13*x^2-7*x+1) lgdogf] A084869 9.78244 [-(13*x^2-7*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A084870 4.63394 [-(3432*x^5-3340*x^4+1330*x^3-265*x^2+26*x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A084874 12.6554 [-9*x^2/(6*x-1)/(3*x-1)/(9*x-1) ogf] A084874 13.9574 [-18*(1-11*x+27*x^2)/(6*x-1)/(-1+3*x)/(9*x-1) lgdogf] A084874 5.43961 [{a(n+3)-18*a(n+2)+99*a(n+1)-162*a(n),a(0)=0,a(1)=0,a(2)=9} ogf] A084874 7.29549 [162*f(x)*x^3-99*f(x)*x^2+18*f(x)*x+9*x^2-f(x) ogf] A084875 4.38828 [-x^2*(24300*x^3+648*x^2-273*x-1)/(18*x-1)/(9*x-1)/(6*x-1)/(3*x-1)/(14*x-1)/(27*x-1) ogf] A084879 5.37695 [{a(n+3)-18*a(n+2)+99*a(n+1)-162*a(n),a(0)=1,a(1)=3,a(2)=18} ogf] A084879 5.37696 [(f(x)-2)*(162*f(x)*x^3-99*f(x)*x^2+18*f(x)*x+63*x^2-f(x)-15*x+1) ogf] A084879 7.91180 [-3*(1-24*x-1620*x^3+3402*x^4+279*x^2)/(6*x-1)/(-1+3*x)/(9*x-1)/(63*x^2-15*x+1) lgdogf] A084879 9.38960 [-(63*x^2-15*x+1)/(6*x-1)/(3*x-1)/(9*x-1) ogf] A084880 3.92146 [-(514188*x^5-181764*x^4+27519*x^3-2074*x^2+74*x-1)/(18*x-1)/(9*x-1)/(6*x-1)/(3*x-1)/(14*x-1)/(27*x-1) ogf] A084899 11.1945 [-x*(3*x+1)/(2*x-1)^3 ogf] A084899 23.6812 [-3*(4*x+3)/(3*x+1)/(-1+2*x) lgdogf] A084899 5.79714 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=9} ogf] A084899 6.01185 [(9*f(x)+1)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+3*x^2-f(x)+x) ogf] A084900 10.9885 [-x*(2*x+1)/(3*x-1)^3 ogf] A084900 23.6588 [-(11+12*x)/(2*x+1)/(-1+3*x) lgdogf] A084900 5.40269 [-(18225*f(x)-3724)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+2*x^2-f(x)+x) ogf] A084900 5.68704 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A084901 10.2004 [-x*(x+1)/(4*x-1)^3 ogf] A084901 26.2066 [-(13+8*x)/(x+1)/(4*x-1) lgdogf] A084901 5.05807 [-(11600*f(x)-1647)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+x^2-f(x)+x) ogf] A084901 5.32197 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=1,a(2)=13} ogf] A084902 13.5312 [-x/(5*x-1)^3 ogf] A084902 49.9809 [-15/(-1+5*x) lgdogf] A084902 5.24917 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=0,a(1)=1,a(2)=15} ogf] A084902 5.85485 [(15*f(x)+1)*(125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x-f(x)+x) ogf] A084903 13.1654 [-(9-2*x+4*x^3-10*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x-1) lgdogf] A084903 3.50072 [{(-20*n^2-112*n-144)*a(n+1)+(32*n^2+214*n+354)*a(n+2)+(-11*n^2-61*n-84)*a(n+3),a(0)=1,a(1)=9,a(2)=44} ogf] A084903 4.50778 [(1296*f(x)+4631)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-2*x^3-8*f(x)*x+4*x^2+f(x)-x-1) ogf] A084903 8.22670 [(x-1)*(2*x^2-2*x-1)/(2*x-1)^4 ogf] A084915 3.14488 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=1} ogf] A084939 5.57347 [{(3*n^2+11*n+10)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A084940 5.16740 [{(5*n^2+17*n+14)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A084941 5.33235 [{(3*n^2+10*n+8)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A084942 4.49717 [{(7*n^2+23*n+18)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A084943 4.71261 [{(4*n^2+13*n+10)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A084944 4.76647 [{(9*n^2+29*n+22)*a(n+1)-2*a(n+2),a(0)=1,a(1)=1} ogf] A084946 14.0458 [-2/(5*x-1) lgdegf] A084947 12.2126 [-1/7*(1-5*x)^(2/5)+5/7*(1-5*x)^(2/5)*x+1/7 revegf] A084947 34.1953 [-2+(1-7*x)*f(x) lgdegf] A084947 5.95477 [{(-7*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A084948 10.7677 [-1/8*(1-6*x)^(1/3)+3/4*(1-6*x)^(1/3)*x+1/8 revegf] A084948 30.1496 [-2+(1-8*x)*f(x) lgdegf] A084948 5.20311 [{(-8*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A084949 10.8967 [-1/9*(1-7*x)^(2/7)+7/9*(1-7*x)^(2/7)*x+1/9 revegf] A084949 30.5107 [-2+(1-9*x)*f(x) lgdegf] A084949 5.26397 [{(-9*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A084964 14.7927 [(x^2-2*x+2)/(x+1)/(x-1)^2 ogf] A084964 23.4053 [-x*(6+x^2-3*x)/(x-1)/(x+1)/(x^2-2*x+2) lgdogf] A084964 7.58282 [-(188*f(x)+353)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)+2*x-2) ogf] A084964 8.12932 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=0,a(2)=3} ogf] A084967 13.2556 [5*(x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A084967 7.20921 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=25,a(2)=35} ogf] A084967 9.13167 [-f(x)*x^3+f(x)*x^2+f(x)*x+5*x^2-f(x)+20*x+5 ogf] A084968 7.08210 [7*(x^8+6*x^7+4*x^6+2*x^5+4*x^4+2*x^3+4*x^2+6*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A084990 11.3678 [-x*(x^2-2*x-1)/(x-1)^4 ogf] A084990 25.5760 [-2*(x+1)*(x-3)/(x-1)/(x^2-2*x-1) lgdogf] A084990 4.23394 [{(-3-n)*a(n+4)+(4-n)*a(n+3)+(7+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=17} ogf] A084990 5.88548 [-(256*f(x)+969)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-2*x^2+f(x)-x) ogf] A085001 12.0990 [2*(x^2-8*x-2)/(x-1)^3 ogf] A085001 22.2814 [-(-14-14*x+x^2)/(x-1)/(x^2-8*x-2) lgdogf] A085001 6.41147 [(255*f(x)-8321)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+16*x+4) ogf] A085001 6.58018 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=28,a(2)=70} ogf] A085024 3.08563 [2*(x^2-8*x-2)/(x-1)^3 ogf] A085024 5.30054 [-(-14-14*x+x^2)/(-1+x)/(x^2-8*x-2) lgdogf] A085025 12.7326 [2*(2*x^2-24*x-3)/(x-1)^3 ogf] A085025 20.3859 [-(-33-44*x+2*x^2)/(x-1)/(2*x^2-24*x-3) lgdogf] A085025 6.74718 [(135*f(x)-4682)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+48*x+6) ogf] A085025 6.86452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=66,a(2)=176} ogf] A085026 12.9706 [(5*x^2-70*x-7)/(x-1)^3 ogf] A085026 20.2415 [-(-91-130*x+5*x^2)/(x-1)/(5*x^2-70*x-7) lgdogf] A085026 6.81505 [(384*f(x)-18743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+70*x+7) ogf] A085026 6.99283 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=91,a(2)=247} ogf] A085027 14.9499 [(3*x^2-14*x-21)/(x-1)^3 ogf] A085027 7.98174 [(208*f(x)-6183)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+14*x+21) ogf] A085027 8.11935 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=77,a(2)=165} ogf] A085036 13.0270 [2*(3*x^2-21*x-7)/(x-1)^3 ogf] A085036 21.2064 [-3*(-14-12*x+x^2)/(x-1)/(3*x^2-21*x-7) lgdogf] A085036 6.95508 [(145*f(x)-5702)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+42*x+14) ogf] A085036 7.07499 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=84,a(2)=204} ogf] A085046 12.1944 [(x^3-3*x^2-x-1)/(x+1)/(x-1)^3 ogf] A085046 15.2904 [-(-3-12*x-4*x^3+x^4-6*x^2)/(x-1)/(x+1)/(x^3-3*x^2-x-1) lgdogf] A085046 6.73130 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=15} ogf] A085046 7.01176 [(8*f(x)-35)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+3*x^2-f(x)+x+1) ogf] A085047 11.4758 [-(3*x^3+x^2+7*x+1)/(x-1)^3/(x+1)^3 ogf] A085047 14.4184 [-(7+8*x+44*x^2+9*x^4+4*x^3)/(x-1)/(x+1)/(3*x^3+x^2+7*x+1) lgdogf] A085110 4.38668 [{(n^2+7*n+12)*a(n+1)+(n^2+6*n+8)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=9} ogf] A085121 17.8235 [3*x^7/(x^8+1) ogf_with_Euler_transform] A085123 2.15631 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A085134 2.10626 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A085139 9.77429 [f(x)^2*x+f(x)*x^2-x^2-f(x)+1 ogf] A085140 19.7509 [-(x-2)/(-x^2+1) ogf_with_Euler_transform] A085140 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/6*Pi)*Pi^(1/4)*2^(1/4)/GAMMA(3/4) A085151 13.3136 [-(29+44*x+4*x^3+x^4+42*x^2)/(x-1)/(x^4+14*x^2+4*x+5) lgdogf] A085151 8.02608 [-(x^4+14*x^2+4*x+5)/(x-1)^5 ogf] A085250 12.8885 [-4*x*(3*x+1)/(x-1)^3 ogf] A085250 33.4691 [-6*(1+x)/(3*x+1)/(x-1) lgdogf] A085250 6.38918 [-(268*f(x)-1365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+4*x) ogf] A085250 6.67441 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=24} ogf] A085259 6.85145 [-(-33-37*x+30*x^9+26*x^8+22*x^7+18*x^6-45*x^3-49*x^4+19*x^5-41*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(30*x^5-2*x^4-2*x^3-2*x^2-x-32) lgdogf] A085259 9.87554 [-(30*x^5-2*x^4-2*x^3-2*x^2-x-32)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A085260 11.0865 [-(x-1)/(x^2-13*x+1) ogf] A085260 11.5964 [-1/2*(-1-13*x+(1+22*x+165*x^2)^(1/2))/(1+x) revogf] A085260 5.60416 [-(77*f(x)-5)*(f(x)*x^2-13*f(x)*x+f(x)+x-1) ogf] A085260 6.07117 [{a(n+2)-13*a(n+1)+a(n),a(0)=1,a(1)=12} ogf] A085261 9.09549 [-(-x^7-x^6+3*x^5-x^4-3*x^3-x^2+3*x-1)/(-x^8+1) ogf_with_Euler_transform] A085261 99.9999 Evaluated at exp(-Pi) 2*exp(-1/24*Pi)*Pi^(1/4)*GAMMA(7/8)/GAMMA(5/8)*(2-2^(1/2)) A085265 13.5760 [-(x^12-x^11+x-2)/(x-1)^2 ogf] A085265 16.4383 [(3-x+10*x^12-21*x^11+11*x^10)/(x-1)/(x^12-x^11+x-2) lgdogf] A085268 10.4423 [x^2*(x^7+x^6+x^4+x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A085277 12.2075 [(x+1)^2/(3*x-1)/(2*x-1) ogf] A085277 19.8162 [-(-7+17*x)/(3*x-1)/(2*x-1)/(1+x) lgdogf] A085277 6.28150 [{-a(n+3)+5*a(n+2)-6*a(n+1),a(0)=1,a(1)=7,a(2)=30} ogf] A085277 6.81046 [(24+25*f(x))*(6*f(x)*x^2-5*f(x)*x-x^2+f(x)-2*x-1) ogf] A085278 11.1515 [(2*x+1)^2/(x-1)/(2*x-1)/(x+1) ogf] A085278 13.6048 [-2*(-3+x+2*x^3+3*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A085278 5.76474 [(13339*f(x)-4128)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-4*x^2+f(x)-4*x-1) ogf] A085278 6.01982 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=17} ogf] A085279 12.4993 [-(2*x^2+2*x-1)/(3*x-1)/(2*x-1) ogf] A085279 14.1148 [-(3-16*x+22*x^2)/(2*x-1)/(3*x-1)/(2*x^2+2*x-1) lgdogf] A085279 6.49475 [{a(n+3)-5*a(n+2)+6*a(n+1),a(0)=1,a(1)=3,a(2)=7} ogf] A085279 7.04748 [(f(x)-10)*(6*f(x)*x^2-5*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A085280 5.44414 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A085280 5.4919 [(7*f(x)-37)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+x^2-f(x)-4*x+1) ogf] A085280 9.43636 [-4*(1-9*x+26*x^2-24*x^3+3*x^4)/(x-1)/(3*x-1)/(-1+4*x)/(1-4*x+x^2) lgdogf] A085280 9.93771 [-(x^2-4*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A085281 12.4371 [(x^2-3*x+1)/(3*x-1)/(2*x-1) ogf] A085281 14.6815 [(2-10*x+13*x^2)/(-1+3*x)/(2*x-1)/(x^2-3*x+1) lgdogf] A085281 6.46243 [{a(n+3)-5*a(n+2)+6*a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A085281 9.28405 [6*f(x)*x^2-5*f(x)*x-x^2+f(x)+3*x-1 ogf] A085282 5.23444 [-(19*f(x)-29)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A085282 5.41650 [{-a(n+3)+8*a(n+2)-19*a(n+1)+12*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A085282 8.97332 [-(3-28*x+91*x^2-120*x^3+60*x^4)/(x-1)/(-1+4*x)/(3*x-1)/(5*x^2-5*x+1) lgdogf] A085282 9.88727 [-(5*x^2-5*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A085284 17.9426 [-10*(2+11*x+8*x^2)/(x-1)/(16*x^2+13*x+1) lgdogf] A085284 3.58624 [{(n+3)*a(n+4)+(4+12*n)*a(n+3)+(-107+3*n)*a(n+2)+(-80-16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=20,a(3)=135} ogf] A085284 7.06802 [-x*(16*x^2+13*x+1)/(x-1)^7 ogf] A085287 13.0324 [-(-7-2*x+24*x^3+5*x^2)/(x-1)/(-1+3*x)/(4*x+1)/(x+1) lgdogf] A085287 14.9006 [(4*x+1)/(x-1)/(3*x-1)/(x+1) ogf] A085287 6.98877 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=7,a(2)=22} ogf] A085287 7.05118 [-(389*f(x)-1149)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-4*x-1) ogf] A085292 4.61259 [(16380*f(x)+2563)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+2*x^3-2*f(x)*x-3*x^2+f(x)-7*x-1) ogf] A085292 7.84940 [-(9+20*x+2*x^6+32*x^3-x^4-6*x^5+43*x^2)/(2*x^3-3*x^2-7*x-1)/(x^4-2*x^3-7*x^2-2*x+1) lgdogf] A085292 8.62613 [-(2*x^3-3*x^2-7*x-1)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A085293 5.20832 [(8190*f(x)+2563)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+4*x^3-2*f(x)*x-6*x^2+f(x)-14*x-2) ogf] A085293 8.88101 [-(9-6*x^5+20*x-x^4+32*x^3+43*x^2+2*x^6)/(2*x^3-3*x^2-7*x-1)/(x^4-2*x^3-7*x^2-2*x+1) lgdogf] A085293 9.61537 [-2*(2*x^3-3*x^2-7*x-1)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A085302 5.45831 [-(x^23-x^22-x^13+x^11+x^10-2*x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A085327 3.19639 [-(x^2-x+1)/(x-1)/(x^2-3*x+1) ogf] A085333 9.44057 [-(6*x^2-1)*(12*x^2+9*x+2)/(3*x-1)/(2*x-1)/(4*x^2+2*x+1)/(9*x^2+3*x+1) ogf] A085348 10.6499 [(x^2+4*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A085348 6.17692 [(12238*f(x)-179)*(f(x)*x^4-18*f(x)*x^2-x^2+f(x)-4*x-1) ogf] A085348 8.52323 [-2*(-2-19*x-36*x^2+2*x^3+6*x^4+x^5)/(x^2+4*x+1)/(x^2+4*x-1)/(x^2-4*x-1) lgdogf] A085349 5.60937 [(38078*f(x)-4259)*(f(x)*x^4-18*f(x)*x^2+x^3+3*x^2+f(x)-4*x-1) ogf] A085349 7.48598 [-(4+30*x+69*x^2-4*x^3+6*x^4+6*x^5+x^6)/(x^2-4*x-1)/(x^2+4*x-1)/(x^3+3*x^2-4*x-1) lgdogf] A085349 9.26395 [-(x^3+3*x^2-4*x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A085350 13.3599 [-(2*x-1)/(4*x-1)/(3*x-1) ogf] A085350 14.3337 [-(5-24*x+24*x^2)/(3*x-1)/(-1+2*x)/(-1+4*x) lgdogf] A085350 15.4363 [-1/4*(-1-7*x+(x^2+6*x+1)^(1/2))/(1+6*x) revogf] A085350 6.9836 [(11*f(x)+14)*(12*f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A085350 7.40429 [{-a(n+2)+7*a(n+1)-12*a(n),a(0)=1,a(1)=5} ogf] A085351 12.3105 [-(3*x-1)/(5*x-1)/(4*x-1) ogf] A085351 12.8861 [-2*(3-20*x+30*x^2)/(-1+4*x)/(3*x-1)/(5*x-1) lgdogf] A085351 13.8526 [-1/2*(-1-9*x+(x^2+6*x+1)^(1/2))/(3+20*x) revogf] A085351 6.50898 [(7*f(x)+11)*(20*f(x)*x^2-9*f(x)*x+f(x)+3*x-1) ogf] A085351 6.82266 [{-a(n+2)+9*a(n+1)-20*a(n),a(0)=1,a(1)=6} ogf] A085352 11.8554 [-(4*x-1)/(6*x-1)/(5*x-1) ogf] A085352 12.9815 [-(7-60*x+120*x^2)/(6*x-1)/(-1+4*x)/(5*x-1) lgdogf] A085352 13.2981 [-1/4*(-11*x-1+(x^2+6*x+1)^(1/2))/(2+15*x) revogf] A085352 6.26074 [(17*f(x)+32)*(30*f(x)*x^2-11*f(x)*x+f(x)+4*x-1) ogf] A085352 6.63340 [{-a(n+2)+11*a(n+1)-30*a(n),a(0)=1,a(1)=7} ogf] A085353 12.5566 [-(5*x-1)/(7*x-1)/(6*x-1) ogf] A085353 13.4460 [-2*(4-42*x+105*x^2)/(6*x-1)/(7*x-1)/(5*x-1) lgdogf] A085353 14.1019 [-1/2*(-1-13*x+(x^2+6*x+1)^(1/2))/(5+42*x) revogf] A085353 6.70636 [(5*f(x)+11)*(42*f(x)*x^2-13*f(x)*x+f(x)+5*x-1) ogf] A085353 7.02570 [{-a(n+2)+13*a(n+1)-42*a(n),a(0)=1,a(1)=8} ogf] A085354 11.4018 [(x-1)/(4*x-1)/(2*x-1)^2 ogf] A085354 16.1725 [-(7-26*x+16*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A085354 5.45303 [{a(n+3)-8*a(n+2)+20*a(n+1)-16*a(n),a(0)=1,a(1)=7,a(2)=36} ogf] A085354 5.7009 [(1009*f(x)-898)*(16*f(x)*x^3-20*f(x)*x^2+8*f(x)*x-f(x)-x+1) ogf] A085356 4.80191 [{(n^2+9*n+18)*a(n+1)-2*a(n+2),a(0)=1,a(1)=5} ogf] A085362 12.606 [-5*f(x)^2*x+f(x)^2+x-1 ogf] A085362 40.3433 [2/(5*x-1)/(x-1) lgdogf] A085362 5.06305 [{(n+2)*a(n+2)+(-8-6*n)*a(n+1)+5*n*a(n),a(0)=1,a(1)=2} ogf] A085363 12.2886 [-9*f(x)^2*x+f(x)^2+x-1 ogf] A085363 39.3439 [4/(9*x-1)/(x-1) lgdogf] A085363 4.85598 [{(n+2)*a(n+2)+(-14-10*n)*a(n+1)+9*n*a(n),a(0)=1,a(1)=4} ogf] A085364 10.8678 [-13*f(x)^2*x+f(x)^2+x-1 ogf] A085364 4.34712 [{(n+2)*a(n+2)+(-20-14*n)*a(n+1)+13*n*a(n),a(0)=1,a(1)=6} ogf] A085373 23.5395 [-3*(-3+2*x)/(-1+4*x)/(x-1) lgdogf] A085373 4.08098 [{(n+3)*a(n+3)+(-19-5*n)*a(n+2)+(10+4*n)*a(n+1),a(0)=1,a(1)=9,a(2)=60} ogf] A085374 13.9033 [-4*(3-4*x+3*x^2)/(-1+4*x)/(2*x^2-2*x+1) lgdogf] A085375 11.1018 [-15*(-1+x)*(2*x^2-x+1)/(-1+4*x)/(5*x^3-6*x^2+3*x-1) lgdogf] A085375 4.70062 [{(4*n^2+34*n+60)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=15} ogf] A085376 10.8221 [(x^2+3*x+1)/(x^4-10*x^2+1) ogf] A085376 6.53834 [(166*f(x)-3)*(f(x)*x^4-10*f(x)*x^2-x^2+f(x)-3*x-1) ogf] A085376 9.91623 [-(-3-22*x-30*x^2+4*x^3+9*x^4+2*x^5)/(x^2+3*x+1)/(x^4-10*x^2+1) lgdogf] A085377 10.0024 [-2*x*(x^2-26*x-14)/(x-1)^4 ogf] A085377 19.9868 [-2*(-41-38*x+x^2)/(x-1)/(x^2-26*x-14) lgdogf] A085377 3.62405 [{(42+14*n)*a(n+4)+(-58+12*n)*a(n+3)+(-103-27*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=28,a(2)=164,a(3)=486} ogf] A085377 4.90313 [(651849900*f(x)+22026847903)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-52*x^2+f(x)-28*x) ogf] A085385 3.44641 [{(-3-n)*a(n+4)+(11+n)*a(n+3)+(6+4*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=46} ogf] A085385 4.78128 [(5120*f(x)+8687)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+2*x^3-8*f(x)*x-x^2+f(x)-x) ogf] A085385 8.93346 [-x*(2*x+1)*(x-1)/(2*x-1)^4 ogf] A085403 12.5829 [f(x)^2+f(x)*x-f(x)+x ogf] A085403 15.7591 [1/2*(-x-1+(1-6*x+x^2)^(1/2))/x/(1-6*x+x^2)^(1/2) lgdogf] A085403 3.42603 [{(-n^2+n)*a(n)+(5*n^2+n)*a(n+1)+(5*n^2+19*n+18)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=-2,a(2)=-2} ogf] A085409 10.0816 [6*x*(x^2+6*x+2)/(x-1)^4 ogf] A085409 22.5870 [-2*(7+10*x+x^2)/(x-1)/(x^2+6*x+2) lgdogf] A085409 3.78062 [{(6+2*n)*a(n+4)+(-6+4*n)*a(n+3)+(-25-5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=12,a(2)=84,a(3)=270} ogf] A085409 5.38458 [-(1876932*f(x)+30587185)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-36*x^2+f(x)-12*x) ogf] A085435 5.4883 [-(8825*f(x)+14808)*(16*f(x)*x^4+12*f(x)*x^3-8*f(x)*x^2-3*f(x)*x-12*x^2+f(x)-3) ogf] A085437 5.62440 [-2*(x+5)*(2*x+1)/(-1+x)/(x^2+4*x+1) lgdogf] A085438 11.7588 [-4*(7+59*x+x^4+26*x^3+87*x^2)/(-1+x)/(x^4+20*x^3+48*x^2+20*x+1) lgdogf] A085438 6.03420 [(x^4+20*x^3+48*x^2+20*x+1)/(x-1)^8 ogf] A085439 4.46341 [(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1)/(x-1)^10 ogf] A085447 12.2492 [2*(3*x-1)/(x^2+6*x-1) ogf] A085447 15.4066 [-(-3-2*x+3*x^2)/(3*x-1)/(x^2+6*x-1) lgdogf] A085447 6.19342 [(185*f(x)-289)*(f(x)*x^2+6*f(x)*x-f(x)-6*x+2) ogf] A085447 6.72212 [{-a(n+2)+6*a(n+1)+a(n),a(0)=2,a(1)=6} ogf] A085449 10.5474 [4*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A085449 16.8188 [-x/(4*x^2+2*x-1) ogf] A085449 17.5007 [1/8/x*(-2*x-1+(1+4*x+20*x^2)^(1/2)) revogf] A085449 25.5218 [-2*(1+4*x)/(4*x^2-1+2*x) lgdogf] A085449 7.68268 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A085455 16.3119 [3*f(x)^2*x+f(x)^2+x-1 ogf] A085455 55.7797 [2/(3*x+1)/(x-1) lgdogf] A085455 6.55149 [{(n+2)*a(n+2)+(4+2*n)*a(n+1)-3*n*a(n),a(0)=1,a(1)=-2} ogf] A085456 15.1656 [7*f(x)^2*x+f(x)^2+x-1 ogf] A085456 51.0040 [4/(7*x+1)/(x-1) lgdogf] A085456 6.04155 [{(n+2)*a(n+2)+(10+6*n)*a(n+1)-7*n*a(n),a(0)=1,a(1)=-4} ogf] A085457 14.3093 [11*f(x)^2*x+f(x)^2+x-1 ogf] A085457 45.8581 [6/(11*x+1)/(x-1) lgdogf] A085457 5.72370 [{(n+2)*a(n+2)+(16+10*n)*a(n+1)-11*n*a(n),a(0)=1,a(1)=-6} ogf] A085458 12.4266 [-7*f(x)^2*x+f(x)^2-x-1 ogf] A085458 37.2954 [-4/(x+1)/(7*x-1) lgdogf] A085458 4.95044 [{(-n-2)*a(n+2)+(10+6*n)*a(n+1)+7*n*a(n),a(0)=1,a(1)=4} ogf] A085461 15.1438 [-(3*x+1)*(x^2+10*x+13)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A085461 3.90372 [{(-2*n^2-15*n-28)*a(n+1)+(4*n^2+28*n+79)*a(n+2)+(-2*n^2-13*n-21)*a(n+3),a(0)=1,a(1)=13,a(2)=70} ogf] A085461 7.40080 [(x+1)*(x^2+6*x+1)/(x-1)^6 ogf] A085462 14.1743 [-(14+56*x+35*x^2+3*x^3)/(x-1)/(x+1)/(x^2+7*x+1) lgdogf] A085462 3.69527 [{(-5*n^2-39*n-76)*a(n+1)+(10*n^2+70*n+184)*a(n+2)+(-5*n^2-31*n-48)*a(n+3),a(0)=1,a(1)=14,a(2)=77} ogf] A085462 7.08260 [(x+1)*(x^2+7*x+1)/(x-1)^6 ogf] A085463 15.4033 [-3*(4+14*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A085463 3.92784 [{(-n^2-7*n-12)*a(n+1)+(2*n^2+14*n+44)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=12,a(2)=63} ogf] A085463 7.36470 [(x+1)*(x^2+5*x+1)/(x-1)^6 ogf] A085464 14.0304 [-(19+97*x+3*x^3+49*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A085464 5.92180 [-(x^2+10*x+1)*(x+1)^2/(x-1)^7 ogf] A085465 22.0015 [-3*(5+8*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A085465 3.55274 [{(n+4)*a(n+4)+(-6+3*n)*a(n+3)+(-30-3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=1,a(1)=15,a(2)=102,a(3)=442} ogf] A085465 6.29520 [-(x^2+4*x+1)^2/(x-1)^7 ogf] A085473 12.9035 [-(4*x^2+7*x+1)/(x-1)^3 ogf] A085473 21.4437 [-2*(x+5)*(2*x+1)/(x-1)/(4*x^2+7*x+1) lgdogf] A085473 6.67044 [(5776*f(x)-25999)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+7*x+1) ogf] A085473 6.90449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=31} ogf] A085474 14.4058 [-(15+63*x+5*x^3+45*x^2)/(x-1)/(x+1)/(5*x^2+10*x+1) lgdogf] A085474 4.01433 [{(3*n^2+18*n+24)*a(n+1)+(2*n^2+34*n+105)*a(n+2)+(-5*n^2-28*n-39)*a(n+3),a(0)=1,a(1)=15,a(2)=69} ogf] A085474 5.10154 [(368*f(x)+2953)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-15*x^2+f(x)-11*x-1) ogf] A085474 9.29901 [(x+1)*(5*x^2+10*x+1)/(x-1)^4 ogf] A085479 3.63620 [728*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A085480 13.7265 [-3*(2*x+1)/(3*x^2+3*x-1) ogf] A085480 15.1287 [1/6*(-3-3*x+(9+42*x+21*x^2)^(1/2))/(x+2) revogf] A085480 16.8097 [-(5+6*x+6*x^2)/(2*x+1)/(3*x^2+3*x-1) lgdogf] A085480 7.403 [-f(x)*(3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+3*x) ogf] A085480 7.44207 [{a(n+2)-3*a(n+1)-3*a(n),a(0)=3,a(1)=15} ogf] A085481 2.0705 [(19*f(x)-10)*(3*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A085481 5.20764 [-1/(3*x^2+3*x-1) ogf] A085481 6.73299 [-3*(2*x+1)/(3*x^2-1+3*x) lgdogf] A085482 3.14913 [-54*(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^9 ogf] A085487 15.3328 [-(10*x+1)/(5*x^2+x-1) ogf] A085487 17.7468 [1/10*(-1-x+(1+42*x+21*x^2)^(1/2))/(x+2) revogf] A085487 18.2139 [-(11+10*x+50*x^2)/(10*x+1)/(5*x^2+x-1) lgdogf] A085487 7.92482 [(21*f(x)+100)*(5*f(x)*x^2+f(x)*x-f(x)+10*x+1) ogf] A085487 8.49771 [{a(n+2)-a(n+1)-5*a(n),a(0)=1,a(1)=11} ogf] A085488 2.0995 [(170*f(x)-339)*(4*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A085488 4.15233 [(x-2)/(4*x^2+x-1) ogf] A085488 5.17715 [-(-1-16*x+4*x^2)/(x-2)/(4*x^2+x-1) lgdogf] A085490 11.7673 [-x*(x^2-6*x-1)/(x-1)^4 ogf] A085490 14.7460 [-2*(-5-8*x+x^2)/(-1+x)/(x^2-6*x-1) lgdogf] A085490 4.52111 [{(-3-n)*a(n+4)-5*n*a(n+3)+(23+7*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=33} ogf] A085490 5.88364 [-(87912*f(x)+316721)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-6*x^2+f(x)-x) ogf] A085502 7.13255 [(2*x^4+325*x^3+985*x^2+287*x+1)/(x-1)^6 ogf] A085502 8.76165 [-(293+3405*x+983*x^3+4*x^4+4915*x^2)/(x-1)/(2*x^4+325*x^3+985*x^2+287*x+1) lgdogf] A085504 12.0658 [-x*(18*x^2+15*x+1)/(9*x^2+3*x-1) ogf] A085504 15.2685 [-9*(2+6*x+9*x^2)/(18*x^2+15*x+1)/(9*x^2+3*x-1) lgdogf] A085504 6.19029 [{a(n+4)-3*a(n+3)-9*a(n+2),a(0)=0,a(1)=1,a(2)=18,a(3)=81} ogf] A085504 7.49352 [-f(x)*(9*f(x)*x^2+18*x^3+3*f(x)*x+15*x^2-f(x)+x) ogf] A085537 24.8251 [-3*(x+9)*(x+1)/(x-1)/(x^2+7*x+4) lgdogf] A085537 3.98818 [{(-515*n^2-2558*n-3056)*a(n+1)+(-3933*n^2-29642*n-53325)*a(n+2)+(4448*n^2+12348*n+7900)*a(n+3),a(0)=0,a(1)=0,a(2)=8} ogf] A085537 9.10936 [-2*x^2*(x^2+7*x+4)/(x-1)^5 ogf] A085538 16.0554 [-3*(27+67*x+x^3+25*x^2)/(x-1)/(x^3+18*x^2+33*x+8) lgdogf] A085538 4.29031 [{(19*n^2+81*n+86)*a(n+1)+(-56*n^2-272*n-648)*a(n+2)+(37*n^2+101*n+64)*a(n+3),a(0)=0,a(1)=0,a(2)=16} ogf] A085538 7.41783 [2*x^2*(x^3+18*x^2+33*x+8)/(x-1)^6 ogf] A085539 10.8942 [-3*(81+376*x+x^4+56*x^3+326*x^2)/(x-1)/(x^4+41*x^3+171*x^2+131*x+16) lgdogf] A085539 5.88615 [-2*x^2*(x^4+41*x^3+171*x^2+131*x+16)/(x-1)^7 ogf] A085540 24.4127 [-3*(x+9)*(x+1)/(x-1)/(x^2+7*x+4) lgdogf] A085540 3.94009 [{(12+4*n)*a(n+4)+(-21+3*n)*a(n+3)+(-36-6*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=8,a(2)=54,a(3)=192} ogf] A085540 9.42807 [-2*x*(x^2+7*x+4)/(x-1)^5 ogf] A085577 6.46251 [(x^11-2*x^10+x^9-x^6+x^5-x^3-x^2+x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A085583 10.4563 [-(2+2*x+x^7-x^6+8*x^3+5*x^4+3*x^5)/(x-1)/(x+1)/(x^6-2*x^5+x^4+3*x^3-x^2-x+1) lgdogf] A085583 6.47854 [-(x^6-2*x^5+x^4+3*x^3-x^2-x+1)/(x+1)^2/(x-1)^5 ogf] A085584 4.85533 [(12*f(x)+5)*(3*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+2*x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A085584 8.63726 [-(2-4*x+x^2+6*x^3-4*x^4-6*x^5+6*x^6)/(3*x^4-3*x^3-x^2+3*x-1)/(2*x^3-x^2-x+1) lgdogf] A085584 8.70177 [-(2*x^3-x^2-x+1)/(3*x^4-3*x^3-x^2+3*x-1) ogf] A085601 5.02189 [-(135*f(x)+1246)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+20*x^2-f(x)-22*x+5) ogf] A085601 5.37123 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=5,a(1)=13,a(2)=41} ogf] A085601 8.06866 [-(13-100*x+288*x^2-352*x^3+160*x^4)/(x-1)/(-1+4*x)/(-1+2*x)/(20*x^2-22*x+5) lgdogf] A085601 9.65144 [-(20*x^2-22*x+5)/(x-1)/(2*x-1)/(4*x-1) ogf] A085613 5.76420 [-(3-2*x-137*x^6+30*x^8+60*x^7-19*x^2-8*x^3+91*x^4-10*x^5)/(x-1)/(-1+2*x)/(x+1)/(3*x^2-1)/(5*x^4+5*x^3-9*x^2-x+2) lgdogf] A085613 7.08953 [-(5*x^4+5*x^3-9*x^2-x+2)/(x-1)/(2*x-1)/(x+1)/(3*x^2-1) ogf] A085614 10.0535 [-1+f(x)-3*f(x)^2*x+2*x^2*f(x)^3 ogf] A085614 36.3232 [x*(-1+2*x)*(x-1) revogf] A085614 4.23682 [{(108*n^2+432*n+420)*a(n+1)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=16} ogf] A085615 2.03311 [-2*f(x)*x^2-f(x)^2+3*f(x)*x+2*f(x)-3*x-1 ogf] A085622 10.5879 [4*(1+4*x+x^6-2*x^5+12*x^3+8*x^2)/(x-1)/(x+1)/(4*x^5-7*x^4-6*x^3-4*x^2-2*x-1) lgdogf] A085622 9.64802 [(4*x^5-7*x^4-6*x^3-4*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A085624 10.7190 [-(2*x^4-3*x^3-x^2-2*x-2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A085636 7.38331 [(6*x^5-16*x^4+91*x^3+11*x^2+3*x+1)/(x-1)^4 ogf] A085636 8.90632 [(-7+6*x^5-31*x-30*x^4-27*x^3-295*x^2)/(x-1)/(6*x^5-16*x^4+91*x^3+11*x^2+3*x+1) lgdogf] A085640 3.9412 [-(2990*f(x)+151)*(f(x)*x^4-4*f(x)*x^3-6*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A085640 6.95353 [-(7+18*x+x^6-6*x^5+15*x^2+28*x^3+9*x^4)/(x^3-3*x^2-3*x-1)/(x^4-4*x^3-6*x^2-4*x+1) lgdogf] A085640 7.47291 [-(x^3-3*x^2-3*x-1)/(x^4-4*x^3-6*x^2-4*x+1) ogf] A085644 20.1255 [(-5+4*x^2)/(-1+2*x)/(2*x+1) lgdegf] A085680 6.59561 [-(x^11-x^10+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A085687 11.8927 [-8*x^3*f(x)^2-6*f(x)*x+f(x)-1 ogf] A085687 20.2736 [12/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdogf] A085687 29.9696 [8*x/(1+(1+8*x)^(1/2))^3 revogf] A085687 5.70460 [{(-8*n^2-44*n-60)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=1,a(1)=6} ogf] A085688 10.1338 [-(11*x^5+15*x^4+21*x^3-6*x^2-8*x-11)/(x-1)/(2*x^3-1)/(x^2+x+1) ogf] A085689 11.0394 [(39*f(x)-68)*(3*f(x)*x^3+4*x^2-f(x)+2*x+4) ogf] A085689 11.1846 [{-a(n+3)+3*a(n),a(0)=4,a(1)=2,a(2)=4} ogf] A085689 17.0405 [-(1+4*x+6*x^4+6*x^3+18*x^2)/(2*x^2+x+2)/(3*x^3-1) lgdogf] A085689 17.3476 [-2*(2*x^2+x+2)/(3*x^3-1) ogf] A085695 4.24455 [-(12375*f(x)-3142)*(f(x)*x^4-4*f(x)*x^3-19*f(x)*x^2+x^3-4*f(x)*x+f(x)-x) ogf] A085695 8.29521 [-2*(2+18*x+8*x^2-2*x^3-2*x^4+x^5)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-7*x+1) lgdogf] A085695 8.81065 [-x*(x-1)*(x+1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A085696 5.239 [-(975*f(x)+493)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-x^3-3*f(x)*x-6*x^2+f(x)+3*x-3) ogf] A085696 7.54214 [-(-6-48*x+x^6+12*x^5+15*x^4+60*x^2)/(x^2+4*x-1)/(x^2-x-1)/(x^3+6*x^2-3*x+3) lgdogf] A085696 9.86566 [(x^3+6*x^2-3*x+3)/(x^2+4*x-1)/(x^2-x-1) ogf] A085697 7.24022 [-(1+4*x-4*x^5+6*x^6+4*x^7+3*x^8+14*x^2-12*x^3)/(x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) lgdogf] A085697 7.81944 [-(x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A085708 10.6745 [7*x/(10*x-1)^2 ogf] A085708 15.5060 [28*x/(7+(280*x+49)^(1/2))^2 revogf] A085708 34.8884 [-20/(10*x-1) lgdogf] A085708 5.08308 [{a(n+2)-20*a(n+1)+100*a(n),a(0)=0,a(1)=7} ogf] A085708 6.88675 [-100*f(x)*x^2+20*f(x)*x-f(x)+7*x ogf] A085717 11.8825 [-(x^3-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A085717 12.1394 [-(1+2*x^6-4*x^5+7*x^4+2*x^3+4*x^7+3*x^2)/(x-1)/(x^3-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A085740 3.81566 [{(131*n^2+545*n+566)*a(n+1)+(-744*n^2-4291*n-6507)*a(n+2)+(613*n^2+1818*n+1205)*a(n+3),a(0)=0,a(1)=0,a(2)=5} ogf] A085740 8.50849 [x^2*(x^2-2*x-5)/(x-1)^5 ogf] A085742 12.4649 [-4*(31+97*x+73*x^2+9*x^3)/(x-1)/(9*x^3+53*x^2+47*x+11) lgdogf] A085742 3.48599 [{(721*n^2+4048*n+5655)*a(n+1)+(-362*n^2+3352*n+6324)*a(n+2)+(-359*n^2-920*n-561)*a(n+3),a(0)=0,a(1)=0,a(2)=33} ogf] A085742 5.71234 [-3*x^2*(9*x^3+53*x^2+47*x+11)/(x-1)^7 ogf] A085743 5.35251 [x^2*(x^4-25*x^3-159*x^2-151*x-26)/(x-1)^7 ogf] A085743 9.61578 [-3*(-111-408*x-290*x^2-32*x^3+x^4)/(x-1)/(x^4-25*x^3-159*x^2-151*x-26) lgdogf] A085744 5.35251 [-x^2*(x^4+29*x^3+147*x^2+155*x+28)/(x-1)^7 ogf] A085744 9.75514 [-3*(117+408*x+274*x^2+40*x^3+x^4)/(x-1)/(x^4+29*x^3+147*x^2+155*x+28) lgdogf] A085750 12.4555 [4*f(x)*x^2+4*f(x)*x+f(x)+x ogf] A085750 22.2689 [-x/(2*x+1)^2 ogf] A085750 32.3367 [-4*x/(1+(1+8*x)^(1/2))^2 revogf] A085750 77.6082 [-4/(1+2*x) lgdogf] A085750 9.07252 [{-a(n+2)-4*a(n+1)-4*a(n),a(0)=0,a(1)=-1} ogf] A085754 5.16093 [-(35631*x^8+14841*x^7+10440*x^6+21700*x^5+21500*x^4+3194*x^3+2385*x^2+2150*x+215)/(10*x^5-1) ogf] A085781 3.84813 [16*f(x)^2*x^4-20*x^3*f(x)^2+8*f(x)^2*x^2+16*f(x)*x^3-f(x)^2*x-28*f(x)*x^2+14*f(x)*x+4*x^2-2*f(x)-5*x+2 ogf] A085786 11.1201 [(x+2)*(x+1)/(x-1)^4 ogf] A085786 22.1333 [-(11+11*x+2*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A085786 3.83644 [{(2*n+8)*a(n+4)+(-8+n)*a(n+3)+(-15-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=2,a(1)=11,a(2)=33,a(3)=74} ogf] A085786 5.44175 [(2846880*f(x)+8653663)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-3*x-2) ogf] A085787 10.2933 [-x*(x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A085787 17.8663 [-(4+10*x+3*x^3+13*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A085788 13.4541 [3*(x+2)/(x-1)^4 ogf] A085788 38.3736 [-3*(3+x)/(2+x)/(-1+x) lgdogf] A085788 5.36405 [{(-2*n-6)*a(n+3)+(11+n)*a(n+2)+(4+n)*a(n+1),a(0)=6,a(1)=27,a(2)=72} ogf] A085788 6.41171 [(5661*f(x)+39110)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-3*x-6) ogf] A085789 13.3932 [3*(2*x+1)/(x-1)^4 ogf] A085789 5.37490 [{(n+3)*a(n+3)+(-4+n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=3,a(1)=18,a(2)=54} ogf] A085789 6.3827 [(4383*f(x)+26449)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-6*x-3) ogf] A085799 19.8229 [-20*(x+2)/(2*x+3)/(1+4*x) lgdegf] A085799 4.34391 [{(-8*n^2-36*n-40)*a(n+1)+(12*n^2+88*n+156)*a(n+2)+(6+3*n)*a(n+3),a(0)=0,a(1)=-9,a(2)=240} ogf] A085801 6.20331 [(2*x^12-x^11+2*x^10+2*x^9+x^8-x^7+3*x^6-x^5+3*x^4+x^3+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A085810 16.1981 [-(2*x-1)/(x^3+3*x^2-4*x+1) ogf] A085810 18.3644 [-(2-6*x+4*x^3+3*x^2)/(2*x-1)/(x^3+3*x^2-4*x+1) lgdogf] A085810 7.66516 [{a(n+3)-4*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A085810 7.94904 [-(10*f(x)-3)*(f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A085811 28.3399 [-x/(x-1) ogf_with_Euler_transform] A085820 5.70100 [(x^4+2*x^3+4*x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A085891 10.4848 [-2*(1+2*x+3*x^4+x^3+5*x^2)/(-1+x)/(x^2+1)/(x^2+x+1) lgdogf] A085891 16.5227 [-x^3+2*x^2+x+2 ogf_with_Euler_transform] A085891 5.66264 [(x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A085899 7.74168 [(x^17-x^16+x^8-x^7+x^5+2*x^2+x+4)/(x-1)^2 ogf] A085903 10.4605 [(2*x^2+1)/(x+1)/(2*x-1)/(2*x^2-1) ogf] A085903 5.11225 [-(153*f(x)+158)*(4*f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2-f(x)*x-2*x^2+f(x)-1) ogf] A085903 9.38301 [-(-1-12*x+8*x^2+16*x^3+4*x^4+16*x^5)/(-1+2*x)/(x+1)/(2*x^2-1)/(2*x^2+1) lgdogf] A085913 10.2433 [(x^5-2*x^4-x^3+x^2-1)/(x+1)/(x-1)^3 ogf] A085913 13.3402 [(2+2*x+x^6-2*x^5+8*x^3+x^2)/(x-1)/(x+1)/(x^5-2*x^4-x^3+x^2-1) lgdogf] A085939 13.9061 [-x/(6*x^2+4*x-1) ogf] A085939 14.0386 [1/12/x*(-1-4*x+(1+8*x+40*x^2)^(1/2)) revogf] A085939 21.0579 [-4*(3*x+1)/(6*x^2-1+4*x) lgdogf] A085939 6.35215 [{-a(n+2)+4*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A085939 8.72075 [-6*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A085952 10.8678 [-(91-200*x+190*x^2)/(x-1)/(10*x-1)/(90*x^2-80*x-1) lgdogf] A085952 5.18646 [{a(n+3)-11*a(n+2)+10*a(n+1),a(0)=1,a(1)=91,a(2)=901} ogf] A085952 5.23539 [-(801*f(x)+7480)*(10*f(x)*x^2-11*f(x)*x+90*x^2+f(x)-80*x-1) ogf] A085952 9.73598 [-(90*x^2-80*x-1)/(x-1)/(10*x-1) ogf] A085959 100.167 [-2/(x-1) lgdogf] A085959 13.5492 [-f(x)*x^2+2*f(x)*x-f(x)+37*x ogf] A085959 21.3935 [37*x/(x-1)^2 ogf] A085959 25.8496 [148*x/(37+(1369+148*x)^(1/2))^2 revogf] A085959 9.91405 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=37} ogf] A085960 7.39336 [2*(-1-5*x-20*x^7+5*x^8-20*x^5+30*x^6-4*x^3+6*x^4+6*x^2)/(x-1)/(2*x^8-6*x^7+6*x^6-2*x^5+2*x^4-6*x^3+6*x^2-x+1) lgdogf] A085960 7.53692 [-(2*x^8-6*x^7+6*x^6-2*x^5+2*x^4-6*x^3+6*x^2-x+1)/(x-1)^3 ogf] A085990 6.77012 [{(-4*n^2-10*n-6)*a(n)+a(n+1),a(0)=0,a(1)=3} ogf] A086007 5.39580 [-x^32*(x+1)*(x^16+x^6+x^4+x^2+1)/(x^52+x^18-x^16+x^8-1) ogf] A086020 13.8251 [-(17+81*x+5*x^3+57*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A086020 3.66358 [{(n^2+12*n+36)*a(n+1)+(-2*n^2-18*n-45)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=17,a(2)=117} ogf] A086020 5.81674 [(x+1)*(x^2+8*x+1)/(x-1)^8 ogf] A086021 4.25511 [-(x^6+54*x^5+405*x^4+760*x^3+405*x^2+54*x+1)/(x-1)^11 ogf] A086023 11.0257 [-2*(13+108*x+3*x^4+58*x^3+168*x^2)/(-1+x)/(x^4+16*x^3+36*x^2+16*x+1) lgdogf] A086023 4.21588 [{(n^2+14*n+49)*a(n+1)+(-2*n^2-20*n-58)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=26,a(2)=251} ogf] A086023 5.05347 [(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^10 ogf] A086024 3.48550 [{(n^3+21*n^2+147*n+343)*a(n+1)+(-2*n^3-30*n^2-174*n-370)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=126,a(2)=3501} ogf] A086025 4.07262 [(x+1)*(x^4+24*x^3+76*x^2+24*x+1)/(x-1)^12 ogf] A086025 4.14013 [{(n^2+16*n+64)*a(n+1)+(-2*n^2-22*n-73)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=37,a(2)=478} ogf] A086025 8.97964 [-(37+475*x+7*x^5+1300*x^2+1000*x^3+205*x^4)/(x-1)/(x+1)/(x^4+24*x^3+76*x^2+24*x+1) lgdogf] A086026 3.35605 [{(n^3+24*n^2+192*n+512)*a(n+1)+(-2*n^3-33*n^2-219*n-539)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=217,a(2)=9478} ogf] A086027 4.26813 [{(n^2+18*n+81)*a(n+1)+(-2*n^2-24*n-90)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=50,a(2)=834} ogf] A086027 7.30438 [-2*(25+459*x+1215*x^4+2650*x^3+4*x^6+165*x^5+1950*x^2)/(x-1)/(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1) lgdogf] A086028 3.32859 [{(n^3+27*n^2+243*n+729)*a(n+1)+(-2*n^3-36*n^2-270*n-756)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=344,a(2)=22296} ogf] A086029 3.93640 [{(-n^2-20*n-100)*a(n+1)+(2*n^2+26*n+109)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=65,a(2)=1361} ogf] A086030 3.26860 [{(n^3+30*n^2+300*n+1000)*a(n+1)+(-2*n^3-39*n^2-327*n-1027)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=513,a(2)=47169} ogf] A086090 11.1232 [-(-5+21*x-30*x^2+18*x^3)/(3*x-1)/(2*x-1)/(3*x^2-3*x+1) lgdogf] A086090 5.28762 [(199*f(x)+35)*(18*f(x)*x^3-21*f(x)*x^2+8*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A086090 5.33360 [{a(n+3)-8*a(n+2)+21*a(n+1)-18*a(n),a(0)=1,a(1)=5,a(2)=22} ogf] A086090 9.73594 [-(3*x^2-3*x+1)/(2*x-1)/(3*x-1)^2 ogf] A086091 10.1950 [-3*(-2+14*x-33*x^2+28*x^3)/(3*x-1)/(-1+4*x)/(7*x^2-5*x+1) lgdogf] A086091 5.07248 [(200*f(x)+73)*(48*f(x)*x^3-40*f(x)*x^2+11*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A086091 5.11621 [{a(n+3)-11*a(n+2)+40*a(n+1)-48*a(n),a(0)=1,a(1)=6,a(2)=33} ogf] A086091 9.27312 [-(7*x^2-5*x+1)/(3*x-1)/(4*x-1)^2 ogf] A086092 10.1309 [-(-7+69*x-228*x^2+260*x^3)/(-1+4*x)/(5*x-1)/(13*x^2-7*x+1) lgdogf] A086092 4.91616 [(4265*f(x)+2307)*(100*f(x)*x^3-65*f(x)*x^2+14*f(x)*x+13*x^2-f(x)-7*x+1) ogf] A086092 5.12624 [{a(n+3)-14*a(n+2)+65*a(n+1)-100*a(n),a(0)=1,a(1)=7,a(2)=46} ogf] A086092 9.08742 [-(13*x^2-7*x+1)/(4*x-1)/(5*x-1)^2 ogf] A086093 5.08956 [{a(n+3)-11*a(n+2)+40*a(n+1)-48*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A086093 6.38455 [-(52*f(x)+23)*(48*f(x)*x^3-40*f(x)*x^2+11*f(x)*x+10*x^2-f(x)-6*x+1) ogf] A086093 9.08291 [-(10*x^2-6*x+1)/(3*x-1)/(4*x-1)^2 ogf] A086093 9.96594 [-(-5+40*x-114*x^2+120*x^3)/(-1+4*x)/(3*x-1)/(10*x^2-6*x+1) lgdogf] A086105 5.33928 [-(f(x)*x-f(x)+x)^3 ogf] A086111 8.30745 [-2*(-1-x-16*x^6+x^7-5*x^8+2*x^9+3*x^5-18*x^4-5*x^3-8*x^2)/(x-1)/(x+1)/(x^2+1)/(x^6-2*x^5-4*x^3-2*x-1) lgdogf] A086111 8.34878 [x*(x^6-2*x^5-4*x^3-2*x-1)/(x^2+1)^2/(x-1)^3/(x+1)^3 ogf] A086112 10.2279 [-(x^5-x^4+x^3-2*x^2-2*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A086112 9.39585 [-(-2-6*x+5*x^6-10*x^5-x^2-14*x^3-3*x^4+x^8-2*x^7)/(x-1)/(x+1)/(x^2+1)/(x^5-x^4+x^3-2*x^2-2*x-1) lgdogf] A086113 10.8088 [-6*(x^2-2*x-1)/(x-1)^4 ogf] A086113 23.1896 [-2*(x+1)*(x-3)/(x-1)/(x^2-2*x-1) lgdogf] A086113 3.74564 [{(-n-4)*a(n+4)+(3-n)*a(n+3)+(10+3*n)*a(n+2)+(-n-3)*a(n+1),a(0)=6,a(1)=36,a(2)=102,a(3)=216} ogf] A086113 5.60458 [(130*f(x)+3327)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+6*x^2+f(x)-12*x-6) ogf] A086114 16.3495 [-2*(4+3*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2+3*x+1) lgdogf] A086114 4.07491 [{(-n^2-9*n-18)*a(n+1)+(2*n^2+14*n+20)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=8,a(1)=64,a(2)=216} ogf] A086114 8.24138 [-8*(x^3-3*x^2+3*x+1)/(x-1)^5 ogf] A086115 11.6954 [-2*(-5-4*x+x^4-4*x^3+6*x^2)/(x-1)/(x^4-4*x^3+6*x^2-4*x-1) lgdogf] A086115 3.71716 [{(-n^2-10*n-21)*a(n+1)+(2*n^2+15*n+22)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=10,a(1)=100,a(2)=390} ogf] A086115 6.24073 [-10*(x^4-4*x^3+6*x^2-4*x-1)/(x-1)^6 ogf] A086159 10.9632 [-(1+x+4*x^2+x^3+x^4+10*x^5)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A086159 23.1430 [x^5+x^2+1 ogf_with_Euler_transform] A086159 9.10855 [-1/(x+1)/(x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A086161 10.1191 [-(x^3-x^2-1)/(x^2+x+1)/(x-1)^2 ogf] A086161 12.3326 [-(-1-3*x+x^5-x^4-2*x^2)/(-1+x)/(x^2+x+1)/(x^3-x^2-1) lgdogf] A086161 7.4479 [(f(x)+3)*(f(x)*x^4-f(x)*x^3+x^3-f(x)*x-x^2+f(x)-1) ogf] A086162 5.53434 [-(x^3-x^2-1)*(x^6-x^3-1)/(x+1)/(x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A086162 5.78085 [-(1+3*x+2*x^7+10*x^4+2*x^3-x^9+x^8-x^13+5*x^2-5*x^11+x^14)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x^3-1)/(x^3-x^2-1) lgdogf] A086192 11.6932 [-(4*x^2+3*x+1)/(x^3+x^2+x-1) ogf] A086192 12.9500 [-2*(2+5*x+2*x^4+3*x^3+x^2)/(4*x^2+3*x+1)/(x^3+x^2+x-1) lgdogf] A086192 5.89494 [-(1676*f(x)+2849)*(f(x)*x^3+f(x)*x^2+f(x)*x+4*x^2-f(x)+3*x+1) ogf] A086192 6.36864 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A086213 11.5711 [-(18*x^2+7*x+1)/(x^3+x^2+x-1) ogf] A086213 5.64888 [-(351872*f(x)+3604339)*(f(x)*x^3+f(x)*x^2+f(x)*x+18*x^2-f(x)+7*x+1) ogf] A086213 6.34874 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=27} ogf] A086219 2.36657 [-f(x)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)-2*x) ogf] A086219 4.10527 [-x*(x-2)/(2*x-1)/(x-1) ogf] A086219 5.50452 [-(5-8*x+2*x^2)/(-1+x)/(x-2)/(2*x-1) lgdogf] A086221 13.3507 [-(20*x-13)/(4*x-1)/(2*x-1) ogf] A086221 13.3721 [-2*(29-104*x+80*x^2)/(4*x-1)/(2*x-1)/(20*x-13) lgdogf] A086221 13.6693 [-1/8*(-13-6*x+(169+76*x+4*x^2)^(1/2))/(5+2*x) revogf] A086221 6.97202 [(35*f(x)+386)*(8*f(x)*x^2-6*f(x)*x+f(x)+20*x-13) ogf] A086221 7.47001 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=13,a(1)=58} ogf] A086223 4.35946 [-(62276579225*f(x)+386134911481)*(35*x^4+10*f(x)*x^2-46*x^3-11*f(x)*x+8*x^2+f(x)-x) ogf] A086223 4.49359 [{-a(n+5)+11*a(n+4)-10*a(n+3),a(0)=0,a(1)=1,a(2)=3,a(3)=69,a(4)=694} ogf] A086223 8.21686 [(-3-72*x+531*x^2-770*x^3+350*x^4)/(x-1)/(10*x-1)/(35*x^3-46*x^2+8*x-1) lgdogf] A086223 8.46619 [-x*(35*x^3-46*x^2+8*x-1)/(x-1)/(10*x-1) ogf] A086224 11.5295 [1/2*ln(2*x+5)+arctanh((14*x+36)^(1/2))-1/2*ln(5)-arctanh(6) revegf] A086224 15.4188 [-(5*x-6)/(2*x-1)/(x-1) ogf] A086224 17.4421 [-(13-24*x+10*x^2)/(x-1)/(2*x-1)/(5*x-6) lgdogf] A086224 7.97522 [(15*f(x)+79)*(2*f(x)*x^2-3*f(x)*x+f(x)+5*x-6) ogf] A086224 8.35958 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=6,a(1)=13} ogf] A086225 11.5197 [1/2*ln(2*x+9)+arctanh((22*x+100)^(1/2))-ln(3)-arctanh(10) revegf] A086225 14.5672 [-(9*x-10)/(2*x-1)/(x-1) ogf] A086225 16.4156 [-(21-40*x+18*x^2)/(9*x-10)/(x-1)/(2*x-1) lgdogf] A086225 7.52912 [(23*f(x)+211)*(2*f(x)*x^2-3*f(x)*x+f(x)+9*x-10) ogf] A086225 7.97730 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=10,a(1)=21} ogf] A086246 14.5036 [f(x)^2-f(x)*x+x^2-f(x)+x ogf] A086246 25.0850 [1/2*x-1/2+1/2*(-(1+3*x)*(x-1))^(1/2) revogf] A086246 4.59158 [{(-3*n^2+3*n)*a(n)+(-5*n^2-7*n)*a(n+1)+(-n^2-5*n-6)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A086274 18.0430 [-(x-2)*(2*x^2+x+2)/(x-1)/(x^3-2*x^2+x-1) lgdogf] A086274 3.93784 [{(10*n^2+88*n+174)*a(n+1)+(-21*n^2-141*n-174)*a(n+2)+(11*n^2+49*n+48)*a(n+3),a(0)=1,a(1)=4,a(2)=12} ogf] A086274 8.46409 [(x^3-2*x^2+x-1)/(x-1)^5 ogf] A086302 22.5216 [-3*(5+14*x+x^2)/(x-1)/(x^2+10*x+1) lgdogf] A086302 3.80352 [{(n+4)*a(n+4)+(12+9*n)*a(n+3)+(-60-9*n)*a(n+2)+(-4-n)*a(n+1),a(0)=8,a(1)=120,a(2)=528,a(3)=1520} ogf] A086302 9.74652 [-8*(x^2+10*x+1)/(x-1)^5 ogf] A086325 26.2597 [-(3+3*x+x^3-x^2)/(x-1)/(x^2-x+2) lgdegf] A086325 5.11878 [{(n^2+7*n+12)*a(n+1)+(n^2+6*n+8)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=2,a(2)=6} ogf] A086341 12.6836 [-(2*x+1)^2/(x+1)/(2*x^2-1) ogf] A086341 17.2443 [-(3+6*x+4*x^3+6*x^2)/(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A086341 6.72781 [-(7*f(x)+2)*(2*f(x)*x^3+2*f(x)*x^2-f(x)*x+4*x^2-f(x)+4*x+1) ogf] A086341 6.90802 [{-a(n+3)-a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A086344 11.9007 [4*f(x)*x^2-2*f(x)*x-f(x)+2*x+1 ogf] A086344 16.6610 [-(2*x+1)/(4*x^2-2*x-1) ogf] A086344 17.6046 [1/4*(-1+2*x+(1+4*x+20*x^2)^(1/2))/(2*x+1) revogf] A086344 22.5559 [-8*x*(x+1)/(2*x+1)/(4*x^2-2*x-1) lgdogf] A086344 9.25611 [{-a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=0} ogf] A086346 4.23082 [{a(n+3)-2*a(n+2)-12*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=18} ogf] A086346 4.42489 [-(58*f(x)+5)*(8*f(x)*x^3+12*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A086346 8.93172 [-(x+1)/(2*x+1)/(4*x^2+4*x-1) ogf] A086346 9.22215 [-(3+24*x+16*x^3+36*x^2)/(2*x+1)/(x+1)/(4*x^2+4*x-1) lgdogf] A086347 10.8936 [1/2/(1+4*x)*(-1-4*x+((1+4*x)*(1+8*x))^(1/2)) revogf] A086347 10.9178 [-(x+1)/(4*x^2+4*x-1) ogf] A086347 14.0976 [-(5+8*x+4*x^2)/(x+1)/(4*x^2+4*x-1) lgdogf] A086347 5.99146 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=5} ogf] A086347 8.46249 [(28*f(x)-3)*(4*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A086348 4.23972 [-(87*f(x)-47)*(8*f(x)*x^3+12*f(x)*x^2+2*f(x)*x+4*x^2-f(x)+6*x+1) ogf] A086348 4.38848 [{-a(n+3)+2*a(n+2)+12*a(n+1)+8*a(n),a(0)=1,a(1)=8,a(2)=32} ogf] A086348 7.62975 [-8*(x+1)*(4*x^3+8*x^2+3*x+1)/(2*x+1)/(4*x^2+4*x-1)/(4*x^2+6*x+1) lgdogf] A086348 8.06915 [-(4*x^2+6*x+1)/(2*x+1)/(4*x^2+4*x-1) ogf] A086349 4.09667 [{a(n+4)-2*a(n+3)-12*a(n+2)-8*a(n+1),a(0)=1,a(1)=9,a(2)=40,a(3)=200} ogf] A086349 4.28575 [-(241+4059*f(x))*(8*f(x)*x^3+12*f(x)*x^2+4*x^3+2*f(x)*x+10*x^2-f(x)+7*x+1) ogf] A086349 7.46533 [-(9+44*x+96*x^3+32*x^4+100*x^2)/(1+2*x)/(x+1)/(4*x^2+4*x-1)/(4*x^2+6*x+1) lgdogf] A086349 7.84714 [-(x+1)*(4*x^2+6*x+1)/(2*x+1)/(4*x^2+4*x-1) ogf] A086351 13.9355 [-(2*x-1)/(7*x^2-6*x+1) ogf] A086351 14.9892 [-1/2*(-1-6*x+(1+4*x+8*x^2)^(1/2))/(2+7*x) revogf] A086351 16.1725 [-2*(2-7*x+7*x^2)/(2*x-1)/(7*x^2-6*x+1) lgdogf] A086351 7.04605 [-(5*f(x)+3)*(7*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A086351 7.64754 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=1,a(1)=4} ogf] A086358 11.8862 [(-2-8*x+24*x^5-39*x^4+12*x^3+4*x^2)/(x-1)/(6*x^5-3*x^4+4*x^2+x+1) lgdogf] A086358 12.9585 [-(6*x^5-3*x^4+4*x^2+x+1)/(x-1) ogf] A086388 10.9036 [-(1+3*x)/(-1+x)/(x+1) lgdogf] A086388 11.4247 [[1+x] ogf_with_Euler_transform] A086388 3.14864 [-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1 ogf] A086388 6.55259 [1/(x+1)/(x-1)^2 ogf] A086403 5.66031 [{a(n+1)+(4*n+14)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=61} ogf] A086405 13.0511 [-(2*x-1)/(6*x^2-6*x+1) ogf] A086405 13.6889 [-1/4*(-1-6*x+(1+4*x+12*x^2)^(1/2))/(1+3*x) revogf] A086405 14.7419 [-4*(1-3*x+3*x^2)/(-1+2*x)/(6*x^2-6*x+1) lgdogf] A086405 6.52553 [-(57*f(x)+7)*(6*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A086405 7.16217 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=1,a(1)=4} ogf] A086443 14.3735 [-x^2/(4*x-1)/(3*x-1)^2 ogf] A086443 21.5888 [-2*(-5+18*x)/(-1+4*x)/(3*x-1) lgdogf] A086443 5.59674 [{a(n+3)-10*a(n+2)+33*a(n+1)-36*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A086443 7.52896 [36*f(x)*x^3-33*f(x)*x^2+10*f(x)*x+x^2-f(x) ogf] A086444 5.14015 [-(31*f(x)+409)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x+11*x^2-f(x)-7*x+1) ogf] A086444 5.40602 [{-a(n+3)+10*a(n+2)-31*a(n+1)+30*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A086444 8.41858 [-(3-40*x+330*x^4-420*x^3+197*x^2)/(-1+3*x)/(5*x-1)/(2*x-1)/(11*x^2-7*x+1) lgdogf] A086444 9.64766 [-(11*x^2-7*x+1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A086445 10.4895 [(x^2+x-1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A086445 12.6748 [-(2-2*x+4*x^4+7*x^3-7*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) lgdogf] A086445 3.84988 [{(2*n+4)*a(n+1)-a(n+2)*n+(-2*n-3)*a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A086445 5.56752 [(11*f(x)-8)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x-x^2-f(x)-x+1) ogf] A086453 5.49404 [-x*(1696000*x^10+5182*x^7+800*x^4+140*x^3-3*x^2-7*x-1)/(5*x-1)/(25*x^2+5*x+1)/(128*x^3-1) ogf] A086456 10.3756 [f(x)^2-f(x)*x-f(x)+2*x ogf] A086456 13.3425 [1/2*(x-1+(1-6*x+x^2)^(1/2))/x/(1-6*x+x^2)^(1/2) lgdogf] A086462 11.8912 [(x+1)*(4*x+1)/(4*x-1)/(x-1) ogf] A086462 12.8686 [-10*(2*x-1)*(2*x+1)/(x-1)/(-1+4*x)/(4*x+1)/(x+1) lgdogf] A086462 6.05993 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=10,a(2)=50} ogf] A086462 8.87654 [-4*f(x)*x^2+5*f(x)*x+4*x^2-f(x)+5*x+1 ogf] A086500 10.5131 [-3*(3+9*x+x^5+11*x^4+14*x^3+26*x^2)/(x-1)/(x+1)/(x^4+8*x^3+6*x^2+8*x+1) lgdogf] A086500 6.98424 [(x^4+8*x^3+6*x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A086514 10.1239 [(2*x^3+x^2-2*x+1)/(x-1)^4 ogf] A086514 17.3729 [-2*(1-2*x+4*x^2+x^3)/(x-1)/(2*x^3+x^2-2*x+1) lgdogf] A086514 4.12457 [{(55*n^2+299*n+378)*a(n+1)+(-104*n^2-424*n-228)*a(n+2)+(49*n^2+143*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A086514 5.6901 [(6*f(x)+5)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A086515 14.4111 [(3*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A086515 18.7515 [-(3*x+1)*(x^2+2*x+3)/(x-1)/(x+1)/(3*x^2+2*x+1) lgdogf] A086515 7.77947 [(6*f(x)-215)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-2*x-1) ogf] A086515 7.84892 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A086520 13.5925 [-(x^4+x^3+2*x^2+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A086570 13.6643 [(x+1)^3/(x-1)^2 ogf] A086570 39.5099 [[5-3*x] ogf_with_Euler_transform] A086570 45.4164 [(-5+x)/(x-1)/(x+1) lgdogf] A086570 7.18556 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=5,a(2)=12,a(3)=20} ogf] A086570 8.09248 [(30*f(x)-19)*(f(x)*x^2-x^3-2*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A086573 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+18*x ogf] A086573 12.9378 [-1/20*(-18-11*x+3*(36+44*x+9*x^2)^(1/2))/x revogf] A086573 13.8015 [18*x/(x-1)/(10*x-1) ogf] A086573 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086573 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=18} ogf] A086574 10.8678 [-1/20*(-11*x-27+3*(3*x^2+22*x+27)^(1/2)*3^(1/2))/x revogf] A086574 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+27*x ogf] A086574 15.5319 [27*x/(x-1)/(10*x-1) ogf] A086574 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086574 7.39615 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=27} ogf] A086575 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+36*x ogf] A086575 12.6370 [-1/20*(-36-11*x+3*(144+88*x+9*x^2)^(1/2))/x revogf] A086575 13.8015 [36*x/(x-1)/(10*x-1) ogf] A086575 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086575 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=36} ogf] A086576 12.3498 [-1/20*(-45-11*x+3*(225+110*x+9*x^2)^(1/2))/x revogf] A086576 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+45*x ogf] A086576 13.8015 [45*x/(x-1)/(10*x-1) ogf] A086576 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086576 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=45} ogf] A086577 10.6547 [-1/20*(-54-11*x+3*(108+44*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A086577 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+54*x ogf] A086577 13.8015 [54*x/(x-1)/(10*x-1) ogf] A086577 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086577 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=54} ogf] A086578 12.3498 [-1/20*(-63-11*x+3*(441+154*x+9*x^2)^(1/2))/x revogf] A086578 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+63*x ogf] A086578 13.8015 [63*x/(x-1)/(10*x-1) ogf] A086578 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086578 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=63} ogf] A086579 12.3498 [-1/20*(-72-11*x+3*(576+176*x+9*x^2)^(1/2))/x revogf] A086579 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+72*x ogf] A086579 13.8015 [72*x/(x-1)/(10*x-1) ogf] A086579 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086579 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=72} ogf] A086580 12.4727 [-10*f(x)*x^2+11*f(x)*x-f(x)+81*x ogf] A086580 13.5847 [-1/20*(-81-11*x+9*(81+22*x+x^2)^(1/2))/x revogf] A086580 13.8015 [81*x/(x-1)/(10*x-1) ogf] A086580 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A086580 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=81} ogf] A086581 12.5743 [-1/2*(-1-2*x-x^2+((1+x)*(x^3+3*x^2-x+1))^(1/2))/(1+x) revogf] A086581 8.39222 [f(x)^2*x^2-f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A086585 2.69292 [(2*f(x)*x-f(x)-x+1)^3 ogf] A086591 8.59365 [-6-x^3+(2*x^3+18)*f(x)+(-x^3-18)*f(x)^2+6*f(x)^3 lgdegf] A086594 13.6260 [-2*(-2-x+2*x^2)/(4*x-1)/(x^2+8*x-1) lgdogf] A086594 15.2903 [2*(4*x-1)/(x^2+8*x-1) ogf] A086594 7.56112 [(1105*f(x)-1698)*(f(x)*x^2+8*f(x)*x-f(x)-8*x+2) ogf] A086594 8.39100 [{-a(n+2)+8*a(n+1)+a(n),a(0)=2,a(1)=8} ogf] A086601 13.9125 [-(4+8*x+x^4+2*x^3+15*x^2)/(x-1)/(x^4-x^3+6*x^2-x+1) lgdogf] A086601 7.61969 [-(x^4-x^3+6*x^2-x+1)/(x-1)^5 ogf] A086602 21.9358 [-3*(-4-2*x+x^2)/(x-1)/(x^2-2*x-2) lgdogf] A086602 4.43125 [{(n+2)*a(n+1)+(n^2+6*n+12)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A086602 8.40409 [x^2*(x^2-2*x-2)/(x-1)^5 ogf] A086603 14.9143 [-6*(4+21*x+9*x^2)/(3*x-1)/(9*x^2+12*x+1) lgdogf] A086603 4.06607 [-(1980*f(x)+1087)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-9*x^3-12*f(x)*x-12*x^2+f(x)-x) ogf] A086603 7.66891 [x*(9*x^2+12*x+1)/(3*x-1)^4 ogf] A086604 14.9715 [-2*(11+64*x+44*x^2)/(2*x-1)/(22*x^2+14*x+1) lgdogf] A086604 4.32736 [-(98496*f(x)+143945)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-22*x^3-8*f(x)*x-14*x^2+f(x)-x) ogf] A086604 8.37735 [x*(22*x^2+14*x+1)/(2*x-1)^4 ogf] A086605 17.9176 [-2*(10+61*x+37*x^2)/(x-1)/(37*x^2+16*x+1) lgdogf] A086605 3.63596 [{(-3-n)*a(n+4)+(-10-15*n)*a(n+3)+(101-21*n)*a(n+2)+(74+37*n)*a(n+1),a(0)=0,a(1)=1,a(2)=20,a(3)=111} ogf] A086605 5.0363 [-(58644*f(x)+689417)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-37*x^3-4*f(x)*x-16*x^2+f(x)-x) ogf] A086605 9.93829 [x*(37*x^2+16*x+1)/(x-1)^4 ogf] A086611 4.80522 [-x^3*f(x)^2+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1 ogf] A086613 9.19012 [x^4+2*x^3+x^2-x-1+f(x)-f(x)^2*x ogf] A086615 3.36746 [{(-3*n-9)*a(n+1)+a(n+2)*n+(3*n+15)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A086615 5.63231 [-f(x)^2*x^4+2*x^3*f(x)^2-f(x)^2*x^2+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A086616 10.2692 [-1/2*(-(x^2-6*x+1)^(1/2)+3*x*(x^2-6*x+1)^(1/2)-x^2+1)/x/(x-1)/(x^2-6*x+1)^(1/2) lgdogf] A086616 4.14221 [{(-n-2)*a(n+1)+(7*n+23)*a(n+2)+(-7*n-26)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=31} ogf] A086616 7.29468 [x^3*f(x)^2-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A086622 12.2786 [-1/4*(-1-2*x-x^2+(1+4*x+6*x^2-4*x^3+x^4)^(1/2))/x^2 revogf] A086622 3.49395 [{(-8*n-20)*a(n+1)-4*a(n+2)+(4*n+20)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A086622 8.3038 [2*x^3*f(x)^2-f(x)^2*x^2-2*f(x)*x+f(x)-1 ogf] A086625 12.1727 [-1/2*(-1-x-x^2+(1+6*x+3*x^2-2*x^3+x^4)^(1/2))/(x-1)/(1+x) revogf] A086625 8.73394 [x^3*f(x)^2-f(x)^2*x^2-f(x)*x+f(x)-x-1 ogf] A086628 5.03662 [f(x)^3*x^3-x^2*f(x)^3-f(x)*x+f(x)-x-1 ogf] A086628 7.06764 [-1/2-1/2*x+1/2*x^3+1/2*(1+6*x-6*x^3+x^2-2*x^4+x^6)^(1/2) revogf] A086631 5.52621 [-f(x)^3*x^4+2*f(x)^3*x^3-x^2*f(x)^3+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A086633 3.00217 [-f(x)^3*x^4+3*f(x)^3*x^3-3*x^2*f(x)^3+f(x)^3*x+f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-2*x+1 ogf] A086640 12.7448 [-(2*x+7)*(x+1)/(x-1)^3 ogf] A086640 21.1801 [-2*(15+11*x+x^2)/(x-1)/(2*x+7)/(x+1) lgdogf] A086640 6.26964 [(1284012*f(x)-11841725)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+9*x+7) ogf] A086640 6.81961 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=30,a(2)=71} ogf] A086644 3.40215 [-(f(x)-1)^2 ogf] A086644 5.33611 [-145843007127552*x^6 lgdogf] A086651 5.65227 [-(2*x^14-x^11+x^9-39*x^8-5*x^6+5*x^5+3*x^3+x^2+1)/(x-1)/(x^2+x-1)/(x^2-x-1)/(x^4-x^3+2*x^2+x+1)/(x^4+x^3+2*x^2-x+1) ogf] A086652 10.5987 [-(13+4*x-50*x^2-8*x^3+40*x^4)/(-1+2*x)/(10*x^2-x-6)/(2*x^2-1) lgdogf] A086652 10.6450 [-(10*x^2-x-6)/(2*x-1)/(2*x^2-1) ogf] A086652 5.64094 [(257*f(x)-1377)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+10*x^2+f(x)-x-6) ogf] A086652 5.78939 [{-a(n+3)+2*a(n+2)+2*a(n+1)-4*a(n),a(0)=6,a(1)=13,a(2)=28} ogf] A086653 11.1882 [-(2*x^2-10*x+5)/(2*x-1)/(x-1)^2 ogf] A086653 12.5913 [-2*(-5+18*x+2*x^3-18*x^2)/(x-1)/(2*x-1)/(2*x^2-10*x+5) lgdogf] A086653 6.03187 [(25*f(x)-518)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-10*x+5) ogf] A086653 6.08479 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=5,a(1)=10,a(2)=17} ogf] A086660 7.87993 [2*a(n+1)+(-3*n-6)*a(n+2)+(5*n+6+n^2)*a(n+3),a(0)=0,a(1)=-2,a(2)=-3 lgdegf] A086663 10.9182 [4*(-1+x+4*x^6-9*x^5+5*x^4+x^3-3*x^2)/(x-1)/(x+1)/(4*x^5-8*x^4+8*x^3-4*x^2+x+1) lgdogf] A086663 11.2727 [(x+1)*(4*x^5-8*x^4+8*x^3-4*x^2+x+1)/(x-1)^2 ogf] A086689 16.7302 [-(13+43*x+16*x^2)/(x-1)/(4*x^2+7*x+1) lgdogf] A086689 7.18890 [(4*x^2+7*x+1)/(x-1)^6 ogf] A086695 4.04774 [-(27269097273*f(x)+14410984100)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1000*x^2-f(x)+20*x+89) ogf] A086695 4.64393 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=89,a(1)=9899,a(2)=998999} ogf] A086695 8.09550 [(1000*x^2-20*x-89)/(x-1)/(100*x-1)/(10*x-1) ogf] A086742 7.58397 [(5*x^35-5*x^34+20*x^30-20*x^29+5*x^10-5*x^9+2*x^5-2*x^4+x^3-x+1)/(x-1)^2 ogf] A086743 5.59663 [-(x^33-x^32+x^31-x^30+x^26-x^25+x^24-x^23+x^10-x^9+x^8-x^7+x^3-x^2-1)/(x-1)^2 ogf] A086746 11.6597 [-f(x)*x^2+2*f(x)*x-f(x)+3018 ogf] A086746 18.6526 [3018*x/(1509+(2277081+3018*x)^(1/2))^2 revogf] A086746 20.0807 [3018/(x-1)^2 ogf] A086746 8.21482 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3018,a(1)=6036} ogf] A086746 88.5998 [-2/(x-1) lgdogf] A086755 20.2848 [-2*(x+5)*(2*x+1)/(x-1)/(x^2+4*x+1) lgdogf] A086755 3.50022 [{(n+4)*a(n+4)+(-1+3*n)*a(n+3)+(-28-3*n)*a(n+2)+(-5-n)*a(n+1),a(0)=2,a(1)=20,a(2)=92,a(3)=292} ogf] A086755 7.99483 [2*(x^2+4*x+1)/(x-1)^6 ogf] A086760 12.6146 [(37*x^2-10*x-43)/(x-1)^3 ogf] A086760 18.8663 [-(-139+54*x+37*x^2)/(x-1)/(37*x^2-10*x-43) lgdogf] A086760 6.56371 [(2074*f(x)-1746187)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-37*x^2-f(x)+10*x+43) ogf] A086760 6.90032 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=43,a(1)=139,a(2)=251} ogf] A086790 9.75281 [(x^9-x^8+x^5-x^4+2*x^3+x^2+1)/(x-1)^2 ogf] A086790 9.78877 [(-2-2*x+7*x^9-15*x^8+8*x^7+3*x^5-7*x^4+6*x^3-6*x^2)/(x-1)/(x^9-x^8+x^5-x^4+2*x^3+x^2+1) lgdogf] A086796 5.24544 [(2*x^7-5*x^6+x^5+5*x^4-9*x^2+6*x-3)/(x-1)^5 ogf] A086814 8.00813 [(x^8-x^7+x^4-x^3+x^2+x+2)/(x-1)^2 ogf] A086814 8.63693 [(-5-3*x+7*x^6-13*x^7+2*x^4-5*x^3+6*x^8+3*x^2)/(x-1)/(x^8-x^7+x^4-x^3+x^2+x+2) lgdogf] A086822 15.3990 [(x^3-4*x+6)/(x-1)^2 ogf] A086822 17.9301 [(-8+4*x+x^3-3*x^2)/(x-1)/(x^3-4*x+6) lgdogf] A086822 7.03576 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=6,a(1)=8,a(2)=10,a(3)=13} ogf] A086822 8.59104 [(3*f(x)-154)*(f(x)*x^2-x^3-2*f(x)*x+f(x)+4*x-6) ogf] A086828 4.71603 [{(n+3)*a(n+1)-a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=1,a(3)=7} ogf] A086848 5.35769 [-(-43-153*x+636*x^7+96*x^8+194*x^2+794*x^3-248*x^4-1318*x^5+12*x^6+96*x^9)/(x-1)/(x+1)/(2*x^2-1)/(48*x^6+34*x^4-x^3-113*x^2+x+42) lgdogf] A086848 5.78436 [(48*x^6+34*x^4-x^3-113*x^2+x+42)/(2*x^2-1)/(x+1)^2/(x-1)^3 ogf] A086850 13.6718 [(-1-6*x+120*x^5-20*x^4+32*x^3+12*x^2)/(-3*x^2+1-x+8*x^4+4*x^3+20*x^6-4*x^5) lgdogf] A086858 19.0721 [(-1+25*x^26-26*x^25+2*x^3-3*x^2)/(x-1)/(x^26+x^3+1) lgdogf] A086858 19.8259 [-(x^26+x^3+1)/(x-1) ogf] A086864 25.7510 [-30*(1+6*x)/(15*x+1)/(3*x-1) lgdogf] A086864 4.67257 [{-n*a(n+3)+(42-12*n)*a(n+2)+(90+45*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A086864 8.42149 [-x^3*(15*x+1)/(3*x-1)^5 ogf] A086866 17.0955 [-(17-36*x+16*x^2)/(8*x-5)/(x-1)/(2*x-1) lgdogf] A086866 4.64455 [{a(n+5)-6*a(n+4)+12*a(n+3)-8*a(n+2),a(0)=0,a(1)=0,a(2)=5,a(3)=17,a(4)=50} ogf] A086866 5.18046 [(18168*f(x)-128843)*(8*f(x)*x^3+8*x^4-12*f(x)*x^2-13*x^3+6*f(x)*x+5*x^2-f(x)) ogf] A086866 9.48535 [-x^2*(8*x-5)*(x-1)/(2*x-1)^3 ogf] A086871 18.2671 [1/2+1/2*x-1/2*(9*x^2-2*x+1)^(1/2) revogf] A086871 9.56849 [1/2*((x-1)^(1/2)*(9*x-1)^(1/2)-x+1)/x/(x-1)^(3/2)/(9*x-1)^(1/2) lgdogf] A086871 9.7618 [-2*f(x)^2*x-f(x)*x+f(x)+x-1 ogf] A086893 11.0574 [-(3+4*x+8*x^4-16*x^3-2*x^2)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-2*x-1) lgdogf] A086893 11.6472 [-(2*x^2-2*x-1)/(2*x-1)/(2*x+1)/(x-1) ogf] A086893 6.23224 [(94*f(x)+123)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+2*x^2+f(x)-2*x-1) ogf] A086893 6.34354 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A086901 13.6568 [(3*x-1)/(3*x^2+4*x-1) ogf] A086901 15.4363 [1/6*(-1-4*x+(1-4*x+28*x^2)^(1/2))/(x-1) revogf] A086901 16.2707 [-(-1-6*x+9*x^2)/(3*x-1)/(3*x^2+4*x-1) lgdogf] A086901 7.06387 [(52*f(x)-51)*(3*f(x)*x^2+4*f(x)*x-f(x)-3*x+1) ogf] A086901 7.49459 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A086902 12.9815 [(7*x-2)/(x^2+7*x-1) ogf] A086902 16.3481 [-(-7-4*x+7*x^2)/(7*x-2)/(x^2+7*x-1) lgdogf] A086902 7.12399 [{-a(n+2)+7*a(n+1)+a(n),a(0)=2,a(1)=7} ogf] A086902 7.91443 [-(53*f(x)-57)*(f(x)*x^2+7*f(x)*x-f(x)-7*x+2) ogf] A086903 13.5806 [-2*(4*x-1)/(x^2-8*x+1) ogf] A086903 17.6219 [-2*(2-x+2*x^2)/(4*x-1)/(x^2-8*x+1) lgdogf] A086903 6.50138 [-(945*f(x)-1378)*(f(x)*x^2-8*f(x)*x+f(x)+8*x-2) ogf] A086903 7.45279 [{a(n+2)-8*a(n+1)+a(n),a(0)=2,a(1)=8} ogf] A086905 3.71778 [{(4*n+12)*a(n+1)+(4*n+14)*a(n+2)+(-n-3)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=1} ogf] A086905 6.48143 [-2*f(x)^2*x^4-3*x^3*f(x)^2+f(x)^2*x-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A086926 17.4825 [-3*(2+4*x+x^4+6*x^2)/(x^2+x-1)/(1+x^3+3*x) lgdogf] A086926 4.21170 [{(n^2+5*n+6)*a(n+1)+(n^2+3*n)*a(n+2)+(-n^2-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A086926 9.62675 [-x^2*(x^3+3*x+1)/(x^2+x-1)^3 ogf] A086927 11.8075 [2*(5*x-1)/(x^2+10*x-1) ogf] A086927 15.0942 [-(-5-2*x+5*x^2)/(5*x-1)/(x^2+10*x-1) lgdogf] A086927 5.96722 [-(26*f(x)-27)*(f(x)*x^2+10*f(x)*x-f(x)-10*x+2) ogf] A086927 6.60656 [{-a(n+2)+10*a(n+1)+a(n),a(0)=2,a(1)=10} ogf] A086928 10.6697 [2*(6*x-1)/(x^2+12*x-1) ogf] A086928 13.6151 [-2*(-3-x+3*x^2)/(6*x-1)/(x^2+12*x-1) lgdogf] A086928 5.39224 [(5365*f(x)-8138)*(f(x)*x^2+12*f(x)*x-f(x)-12*x+2) ogf] A086928 5.96998 [{-a(n+2)+12*a(n+1)+a(n),a(0)=2,a(1)=12} ogf] A086940 10.9787 [-1/20*(-16-11*x+(256+432*x+81*x^2)^(1/2))/(-2+x) revogf] A086940 10.9859 [4*(5*x+4)/(x-1)/(10*x-1) ogf] A086940 12.8531 [-(-49+80*x+50*x^2)/(x-1)/(5*x+4)/(10*x-1) lgdogf] A086940 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=16,a(1)=196} ogf] A086940 7.2358 [(459*f(x)+2260)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-16) ogf] A086941 10.9859 [6*(5*x+4)/(x-1)/(10*x-1) ogf] A086941 11.2123 [-1/20*(-24-11*x+3*(64+72*x+9*x^2)^(1/2))/(-3+x) revogf] A086941 12.8531 [-(-49+80*x+50*x^2)/(x-1)/(5*x+4)/(10*x-1) lgdogf] A086941 5.72671 [(153*f(x)+1130)*(10*f(x)*x^2-11*f(x)*x+f(x)-30*x-24) ogf] A086941 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=24,a(1)=294} ogf] A086942 10.7546 [-1/20*(-32-11*x+(1024+864*x+81*x^2)^(1/2))/(-4+x) revogf] A086942 10.9859 [8*(5*x+4)/(x-1)/(10*x-1) ogf] A086942 12.8531 [-(-49+80*x+50*x^2)/(x-1)/(5*x+4)/(10*x-1) lgdogf] A086942 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=32,a(1)=392} ogf] A086942 7.2358 [(459*f(x)+4520)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-32) ogf] A086943 10.9787 [-1/20*(-23-11*x+(529+666*x+81*x^2)^(1/2))/(-4+x) revogf] A086943 10.9859 [(40*x+23)/(x-1)/(10*x-1) ogf] A086943 11.4560 [-(-293+460*x+400*x^2)/(x-1)/(40*x+23)/(10*x-1) lgdogf] A086943 5.6074 [(2763*f(x)+22300)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-23) ogf] A086943 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=23,a(1)=293} ogf] A086944 10.9787 [-1/20*(-42-11*x+3*((9*x+98)*(x+2))^(1/2))/(-3+x) revogf] A086944 10.9859 [6*(5*x+7)/(x-1)/(10*x-1) ogf] A086944 12.2553 [-2*(-41+70*x+25*x^2)/(x-1)/(5*x+7)/(10*x-1) lgdogf] A086944 5.72671 [(127*f(x)+1390)*(10*f(x)*x^2-11*f(x)*x+f(x)-30*x-42) ogf] A086944 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=42,a(1)=492} ogf] A086945 10.5395 [-1/20*(-61-11*x+(3721+1422*x+81*x^2)^(1/2))/(-2+x) revogf] A086945 10.9859 [(20*x+61)/(x-1)/(10*x-1) ogf] A086945 11.2123 [-(-691+1220*x+200*x^2)/(x-1)/(20*x+61)/(10*x-1) lgdogf] A086945 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=61,a(1)=691} ogf] A086945 7.08506 [(6381*f(x)+88240)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-61) ogf] A086946 10.9787 [-1/20*(-14-11*x+(196+468*x+81*x^2)^(1/2))/(-4+x) revogf] A086946 10.9859 [2*(20*x+7)/(x-1)/(10*x-1) ogf] A086946 11.9768 [-(-97+140*x+200*x^2)/(x-1)/(20*x+7)/(10*x-1) lgdogf] A086946 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=14,a(1)=194} ogf] A086946 8.06298 [(927*f(x)+5840)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-14) ogf] A086947 10.9859 [3*(20*x+7)/(x-1)/(10*x-1) ogf] A086947 11.2123 [-1/20*(-21-11*x+3*(49+78*x+9*x^2)^(1/2))/(-6+x) revogf] A086947 11.9768 [-(-97+140*x+200*x^2)/(x-1)/(20*x+7)/(10*x-1) lgdogf] A086947 5.72671 [(309*f(x)+2920)*(10*f(x)*x^2-11*f(x)*x+f(x)-60*x-21) ogf] A086947 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=21,a(1)=291} ogf] A086948 10.9859 [12*(5*x+1)/(x-1)/(10*x-1) ogf] A086948 11.2123 [-1/20*(-12-11*x+3*(16+56*x+9*x^2)^(1/2))/(-6+x) revogf] A086948 12.8531 [-2*(5*x+4)*(5*x-2)/(x-1)/(5*x+1)/(10*x-1) lgdogf] A086948 5.6074 [(2083*f(x)+40540)*(10*f(x)*x^2-11*f(x)*x+f(x)-60*x-12) ogf] A086948 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=12,a(1)=192} ogf] A086949 10.5395 [-1/20*(-41-11*x+(1681+1062*x+81*x^2)^(1/2))/(-4+x) revogf] A086949 10.9859 [(40*x+41)/(x-1)/(10*x-1) ogf] A086949 11.4560 [-(-491+820*x+400*x^2)/(x-1)/(40*x+41)/(10*x-1) lgdogf] A086949 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=41,a(1)=491} ogf] A086949 7.895 [(4581*f(x)+53260)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-41) ogf] A086950 11.3650 [-x*(6*x+1)/(2*x-1)^3 ogf] A086950 24.0474 [-12*(1+2*x)/(6*x+1)/(2*x-1) lgdogf] A086950 5.83335 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A086950 6.86004 [-(2144*f(x)-1365)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+6*x^2-f(x)+x) ogf] A086951 11.1501 [-x*(5*x+1)/(3*x-1)^3 ogf] A086951 24.0119 [-2*(7+15*x)/(5*x+1)/(3*x-1) lgdogf] A086951 5.77067 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=1,a(2)=14} ogf] A086951 6.46189 [-(25920*f(x)-7469)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+5*x^2-f(x)+x) ogf] A086952 20.8606 [-16*(1+2*x)/(4*x-1)/(4*x+1) lgdogf] A086952 4.97713 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A086952 7.42371 [(16*f(x)+1)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+4*x^2-f(x)+x) ogf] A086952 9.53950 [-x*(4*x+1)/(4*x-1)^3 ogf] A086953 12.7060 [-(3*x^2-3*x+1)/(2*x-1)/(x^2-x+1) ogf] A086953 16.6947 [-6*x^2*(x-1)^2/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A086953 7.04605 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A086953 8.70861 [-2*f(x)*x^3+3*f(x)*x^2-3*f(x)*x-3*x^2+f(x)+3*x-1 ogf] A086954 3.43504 [{(6*n+28)*a(n+1)+(-9*n-39)*a(n+2)+(9*n+39)*a(n+3)+(-3*n-11)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=14} ogf] A086954 4.86228 [(180*f(x)+3731)*(4*f(x)*x^4-8*f(x)*x^3+9*f(x)*x^2+5*x^3-5*f(x)*x-8*x^2+f(x)+4*x-1) ogf] A086954 8.96681 [-(x-1)*(5*x^2-3*x+1)/(x^2-x+1)/(2*x-1)^2 ogf] A086954 9.66913 [-(-1+10*x^5-27*x^4+20*x^3-5*x^2)/(x-1)/(2*x-1)/(x^2-x+1)/(5*x^2-3*x+1) lgdogf] A086955 11.9061 [-(2*x^3-3*x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A086955 14.3906 [-2*(3+3*x-x^3+x^4+6*x^2)/(x-1)/(x+1)/(2*x^3-3*x^2+4*x+1) lgdogf] A086955 6.4687 [-(121*f(x)-175)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-3*x^2-f(x)+4*x+1) ogf] A086970 11.4389 [(2*x^3-3*x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A086970 15.7723 [(-5-x-11*x^2+x^3)/(x-1)/(x+1)/(2*x^3-3*x^2+4*x+1) lgdogf] A086970 5.97945 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=3,a(3)=9} ogf] A086970 6.3143 [-(35*f(x)+82)*(f(x)*x^3-f(x)*x^2-2*x^3-f(x)*x+3*x^2+f(x)-4*x-1) ogf] A086972 10.2277 [-(5*x^2-4*x+1)/(x-1)/(3*x-1)^2 ogf] A086972 12.1813 [-(-3+5*x)*(3*x^2-2*x+1)/(x-1)/(3*x-1)/(5*x^2-4*x+1) lgdogf] A086972 5.56245 [{a(n+3)-7*a(n+2)+15*a(n+1)-9*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A086972 5.61167 [(6*f(x)-17)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+5*x^2-f(x)-4*x+1) ogf] A086984 4.97797 [(14*x^4-19*x^3+9*x^2-3*x+1)/(2*x-1)^3/(x-1)^3 egf] A086990 11.0198 [-(x-1+3*x*(1+4*x^2)^(1/2)+(1+4*x^2)^(1/2))/(3*x+2)/(1+4*x^2)^(1/2)/x lgdogf] A086990 28.8209 [-x*(-1+2*x)/(-1+3*x)/(x-1) revogf] A086990 4.34238 [{-12*a(n)*n-8*a(n+1)*n+(-3*n-9)*a(n+2)+(-2*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=-2} ogf] A086990 9.51752 [-3*f(x)^2*x-2*f(x)^2+4*f(x)*x+f(x)-x ogf] A087009 13.9058 [(2*x^4-2*x^2+2*x-1)/(2*x-1) ogf] A087009 14.8251 [4*x*(1-2*x^2+3*x^3-x)/(2*x-1)/(2*x^4-2*x^2+2*x-1) lgdogf] A087009 6.88793 [{-a(n+5)+2*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=4,a(4)=6} ogf] A087009 8.87963 [(f(x)-1)*(-2*x^4+2*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A087035 8.65044 [-(x^3-3*x^2-x-1)/(x+1)/(x-1)^4 ogf] A087047 4.21756 [{(-n^3-12*n^2-47*n-60)*a(n+1)+6*a(n+2),a(0)=1,a(1)=4} ogf] A087076 10.1783 [x*(2*x+1)/(2*x-1)^4 ogf] A087076 26.2400 [-2*(5+6*x)/(2*x-1)/(2*x+1) lgdogf] A087076 5.0154 [-(4288*f(x)+1793)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x-2*x^2+f(x)-x) ogf] A087076 5.08916 [{(n+2)*a(n+3)-10*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10} ogf] A087098 6.96406 [-x*(22*x^3+x^2-11*x-1)/(2*x^2-1)/(x+1)^2/(x-1)^3 ogf] A087098 8.34190 [-(12+18*x+176*x^6+54*x^5-130*x^4-61*x^3-3*x^2)/(x-1)/(x+1)/(2*x^2-1)/(22*x^3+x^2-11*x-1) lgdogf] A087099 14.2976 [-(3+9*x+2*x^4+4*x^3+12*x^2)/(x-1)/(x+1)/(x^3+x^2+2*x+1) lgdogf] A087099 9.43639 [-(x^3+x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A087100 9.04338 [-(11+6*x+132*x^6+8*x^5-11*x^2-14*x^3-88*x^4)/(x-1)/(x+1)/(2*x^2-1)/(22*x^3+x^2-11*x-1) lgdogf] A087100 9.99090 [x*(22*x^3+x^2-11*x-1)/(2*x^2-1)/(x-1)^2/(x+1)^2 ogf] A087113 23.6588 [-2/(-1+x) lgdogf] A087113 3.82444 [-f(x)*x^2+2*f(x)*x-f(x)+2 ogf] A087113 6.83764 [2/(x-1)^2 ogf] A087113 9.25780 [2*x/(1+(2*x+1)^(1/2))^2 revogf] A087120 10.0386 [2*x*(-10+16*x^3-40*x^2+37*x)/(x-1)/(4*x-1)/(8*x^3-14*x^2+5*x-1) lgdogf] A087120 10.3543 [-(8*x^3-14*x^2+5*x-1)/(4*x-1)/(x-1) ogf] A087120 5.58231 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=0,a(2)=10,a(3)=42} ogf] A087120 6.05629 [-(f(x)-1)*(4*f(x)*x^2+8*x^3-5*f(x)*x-14*x^2+f(x)+5*x-1) ogf] A087123 10.0995 [-(2+2*x+x^6+4*x^5-3*x^4-4*x^3+3*x^2)/(x-1)/(x^2+3*x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A087123 11.7234 [-(x-1)*(x^2+3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A087123 7.39826 [(16*f(x)-27)*(f(x)*x^4-3*f(x)*x^2+x^3+2*x^2+f(x)-2*x-1) ogf] A087124 4.82928 [(22*f(x)+5)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+2*x^3+4*f(x)*x-3*x^2-f(x)-x+1) ogf] A087124 8.16389 [-(3-12*x+9*x^4-8*x^3+2*x^6-6*x^5+15*x^2)/(2*x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A087124 8.65506 [-(2*x-1)*(x^2-x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A087125 10.0868 [-2*(-27+55*x+x^3-13*x^2)/(x-5)/(x-1)/(1-10*x+x^2) lgdogf] A087125 12.0749 [x*(x-5)/(x-1)/(x^2-10*x+1) ogf] A087125 6.24928 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=54} ogf] A087125 6.78494 [-f(x)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x-x^2-f(x)+5*x) ogf] A087130 12.5840 [(5*x-2)/(x^2+5*x-1) ogf] A087130 15.8315 [-(-5-4*x+5*x^2)/(5*x-2)/(x^2+5*x-1) lgdogf] A087130 6.22287 [-(29*f(x)-33)*(f(x)*x^2+5*f(x)*x-f(x)-5*x+2) ogf] A087130 6.90587 [{-a(n+2)+5*a(n+1)+a(n),a(0)=2,a(1)=5} ogf] A087131 14.0915 [2*(x-1)/(4*x^2+2*x-1) ogf] A087131 17.7498 [-(-1-8*x+4*x^2)/(x-1)/(4*x^2+2*x-1) lgdogf] A087131 7.28872 [(20*f(x)-39)*(4*f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A087131 7.73316 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=2,a(1)=2} ogf] A087137 3.56375 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^2-6*n-9)*a(n+2)+(-n-3)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=6} ogf] A087137 6.70248 [x^3*f(x)^2-f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2+f(x)^2-2*f(x)+2*x egf] A087138 34.3444 [-1+exp(-x*(-1+x)) revegf] A087152 30.8320 [-1+exp(x/(x+1)^2) revegf] A087156 11.4472 [-f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A087156 19.8574 [-x*(x-2)/(x-1)^2 ogf] A087156 33.1028 [x/(1+x)^(1/2)/(1+(1+x)^(1/2)) revogf] A087156 53.3323 [-(x-3)/(x-1)/(x-2) lgdogf] A087156 9.63379 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=2,a(2)=3} ogf] A087161 12.0488 [-2*(-1+6*x+6*x^3-12*x^2)/(x-1)/(-1+3*x)/(2*x^2-4*x+1) lgdogf] A087161 12.2947 [(3*x-1)/(x-1)/(2*x^2-4*x+1) ogf] A087161 5.81804 [{a(n+3)-5*a(n+2)+6*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A087161 6.2059 [(15*f(x)+13)*(2*f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)-3*x+1) ogf] A087164 2.65664 [-(13*f(x)+34)*(3*f(x)*x^3-x^4-8*f(x)*x^2+2*x^3+6*f(x)*x-x^2-f(x)-4*x+1) ogf] A087164 4.58874 [(x^4-2*x^3+x^2+4*x-1)/(x-1)/(3*x^2-5*x+1) ogf] A087168 16.6131 [(2*x+1)/(4*x^2+3*x+1) ogf] A087168 19.0591 [-1/4*(-1+3*x+(1+2*x-7*x^2)^(1/2))/(-1+2*x) revogf] A087168 22.2357 [-(1+8*x+8*x^2)/(2*x+1)/(4*x^2+3*x+1) lgdogf] A087168 8.79516 [(5*f(x)-6)*(4*f(x)*x^2+3*f(x)*x+f(x)-2*x-1) ogf] A087168 9.11693 [{-a(n+2)-3*a(n+1)-4*a(n),a(0)=1,a(1)=-1} ogf] A087169 17.4351 [(3*x+1)/(9*x^2+5*x+1) ogf] A087169 19.0292 [-1/6*(5*x-1+(-11*x^2+2*x+1)^(1/2))/(-1+3*x) revogf] A087169 21.5330 [-(2+18*x+27*x^2)/(3*x+1)/(9*x^2+5*x+1) lgdogf] A087169 9.23035 [(5*f(x)-6)*(9*f(x)*x^2+5*f(x)*x+f(x)-3*x-1) ogf] A087169 9.56806 [{a(n+2)+5*a(n+1)+9*a(n),a(0)=1,a(1)=-2} ogf] A087170 16.3613 [(4*x+1)/(16*x^2+7*x+1) ogf] A087170 16.6371 [-1/8*(7*x-1+(-(1+5*x)*(-1+3*x))^(1/2))/(-1+4*x) revogf] A087170 20.0498 [-(8*x+3)*(1+8*x)/(4*x+1)/(16*x^2+7*x+1) lgdogf] A087170 8.18066 [-(11*f(x)-20)*(16*f(x)*x^2+7*f(x)*x+f(x)-4*x-1) ogf] A087170 9.06772 [{a(n+2)+7*a(n+1)+16*a(n),a(0)=1,a(1)=-3} ogf] A087171 15.5448 [(5*x+1)/(25*x^2+9*x+1) ogf] A087171 17.0728 [-1/10*(-1+9*x+(1+2*x-19*x^2)^(1/2))/(5*x-1) revogf] A087171 18.3532 [-(4+50*x+125*x^2)/(5*x+1)/(25*x^2+9*x+1) lgdogf] A087171 7.85783 [-(7*f(x)-15)*(25*f(x)*x^2+9*f(x)*x+f(x)-5*x-1) ogf] A087171 8.61519 [{a(n+2)+9*a(n+1)+25*a(n),a(0)=1,a(1)=-4} ogf] A087204 11.6752 [{a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=1} ogf] A087204 15.1963 [-f(x)*x^2+f(x)*x-f(x)-x+2 ogf] A087204 21.2749 [-(x-2)/(x^2-x+1) ogf] A087204 41.9551 [-(1-4*x+x^2)/(x-2)/(x^2-x+1) lgdogf] A087205 14.6482 [-(4*x+1)/(4*x^2-2*x-1) ogf] A087205 16.0193 [1/8*(-1+2*x+((2*x+1)*(10*x+1))^(1/2))/(1+x) revogf] A087205 18.1271 [-2*(1+4*x+8*x^2)/(4*x+1)/(4*x^2-2*x-1) lgdogf] A087205 7.40638 [-(f(x)-1)*(4*f(x)*x^2-2*f(x)*x-f(x)+4*x+1) ogf] A087205 8.03863 [{a(n+2)+2*a(n+1)-4*a(n),a(0)=1,a(1)=2} ogf] A087206 13.8054 [1/4*(-2*x-1+((2*x+1)*(10*x+1))^(1/2))/(2*x+1) revogf] A087206 14.0915 [-(2*x+1)/(4*x^2+2*x-1) ogf] A087206 16.3485 [-4*(1+2*x+2*x^2)/(2*x+1)/(4*x^2+2*x-1) lgdogf] A087206 7.04576 [-(13*f(x)+3)*(4*f(x)*x^2+2*f(x)*x-f(x)+2*x+1) ogf] A087206 7.73316 [{a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=4} ogf] A087208 23.0166 [(-1-2*x+x^2)/(-1+x)/(x+1) lgdegf] A087208 3.24636 [{(n^2+5*n+6)*a(n+1)+(-n^2-7*n-12)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A087211 4.95615 [{a(n+4)-4*a(n+3)+a(n+2)+6*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=12} ogf] A087211 5.35908 [-(f(x)+1)*(6*f(x)*x^3+f(x)*x^2-4*x^3-4*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A087211 9.36210 [2*(1-4*x+11*x^4-4*x^3+4*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(x+1)/(4*x^2+x-1) lgdogf] A087211 9.55316 [(x-1)*(4*x^2+x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A087213 12.1399 [(4*x^2-x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A087213 13.7270 [-4*x^2*(4*x^2-2*x-3)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2-x-1) lgdogf] A087213 6.67149 [(f(x)-1)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x-4*x^2-f(x)+x+1) ogf] A087213 6.73215 [{a(n+3)+a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A087214 11.0956 [-2-2*x+x^2+(4+2*x-2*x^2)*f(x)+(-2+x^2)*f(x)^2 lgdegf] A087214 3.98573 [{(-n^2-5*n-6)*a(n+1)+(n^2+7*n+12)*a(n+2)-2*a(n+4)+2*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A087215 13.7754 [-2*(9*x-1)/(x^2-18*x+1) ogf] A087215 13.8630 [-(9-2*x+9*x^2)/(9*x-1)/(x^2-18*x+1) lgdogf] A087215 6.96176 [-(80*f(x)-79)*(f(x)*x^2-18*f(x)*x+f(x)+18*x-2) ogf] A087215 7.70765 [{a(n+2)-18*a(n+1)+a(n),a(0)=2,a(1)=18} ogf] A087216 4.07191 [{(-216*n^2-648*n-462)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=30} ogf] A087221 19.7091 [-1/(x+1)/(x^15-x^14+x^13-x^12+x^11-x^10+x^9-x^8+x^7-x^6+x^5-x^4+2*x^3-2*x^2+2*x-1) ogf] A087221 8.28961 [-(1+4*x^3+16*x^15)/(x+1)/(x^15-x^14+x^13-x^12+x^11-x^10+x^9-x^8+x^7-x^6+x^5-x^4+2*x^3-2*x^2+2*x-1) lgdogf] A087231 5.37466 [{a(n+5)-a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=6,a(3)=2,a(4)=26} ogf] A087231 5.68851 [-(122*f(x)-243)*(4*f(x)*x^3-16*x^4-4*f(x)*x^2+16*x^3-f(x)*x+2*x^2+f(x)-3*x-1) ogf] A087231 9.86489 [(16*x^4-16*x^3-2*x^2+3*x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A087265 11.6965 [-(47*x-2)/(x^2-47*x+1) ogf] A087265 13.4725 [-1/2*(-2-47*x+(4+2205*x^2)^(1/2))/(x+47) revogf] A087265 14.1816 [-(47-4*x+47*x^2)/(47*x-2)/(x^2-47*x+1) lgdogf] A087265 5.66736 [-(2205*f(x)-2201)*(f(x)*x^2-47*f(x)*x+f(x)+47*x-2) ogf] A087265 6.54445 [{a(n+2)-47*a(n+1)+a(n),a(0)=2,a(1)=47} ogf] A087278 10.3894 [-2*(1+2*x+x^7-x^6-2*x^5+4*x^4+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4-2*x^3+x^2+1) lgdogf] A087278 8.03270 [-x*(x+1)*(x^4-2*x^3+x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A087279 15.1989 [-(3+7*x+2*x^4-5*x^3+5*x^2)/(x-1)/(x+1)/(x^3-2*x^2+x+2) lgdogf] A087279 9.35807 [-x*(x^3-2*x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A087281 15.6203 [(29*x-2)/(x^2+29*x-1) ogf] A087281 18.5280 [-(-29-4*x+29*x^2)/(29*x-2)/(x^2+29*x-1) lgdogf] A087281 7.72794 [-(845*f(x)-849)*(f(x)*x^2+29*f(x)*x-f(x)-29*x+2) ogf] A087281 8.73993 [{-a(n+2)+29*a(n+1)+a(n),a(0)=2,a(1)=29} ogf] A087287 17.1801 [2*(38*x-1)/(x^2+76*x-1) ogf] A087287 20.4136 [-2*(-19-x+19*x^2)/(38*x-1)/(x^2+76*x-1) lgdogf] A087287 8.32439 [-(1445*f(x)-1446)*(f(x)*x^2+76*f(x)*x-f(x)-76*x+2) ogf] A087287 9.61268 [{-a(n+2)+76*a(n+1)+a(n),a(0)=2,a(1)=76} ogf] A087288 11.3153 [-2*(x^2+2*x-2)/(x-1)/(2*x-1)/(x+1) ogf] A087288 12.0803 [-2*(1+x+x^4+4*x^3-6*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+2*x-2) lgdogf] A087288 5.89941 [-(17*f(x)+46)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+2*x^2+f(x)+4*x-4) ogf] A087288 6.10825 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=4,a(1)=4,a(2)=10} ogf] A087289 11.2986 [-3*(2*x-1)/(4*x-1)/(x-1) ogf] A087289 12.1038 [-1/4*(-3-5*x+(9+6*x+9*x^2)^(1/2))/(3+2*x) revogf] A087289 13.7849 [-(3-8*x+8*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A087289 5.5872 [-(85*f(x)-12)*(4*f(x)*x^2-5*f(x)*x+f(x)+6*x-3) ogf] A087289 6.20043 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=3,a(1)=9} ogf] A087290 14.7237 [-8*(3*x-1)/(9*x-1)/(x-1) ogf] A087290 17.0008 [-(7-18*x+27*x^2)/(-1+x)/(-1+3*x)/(9*x-1) lgdogf] A087290 17.4367 [-1/3*(-4-5*x+4*(1+x+x^2)^(1/2))/(8+3*x) revogf] A087290 7.52189 [-(13*f(x)-6)*(9*f(x)*x^2-10*f(x)*x+f(x)+24*x-8) ogf] A087290 8.23826 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=8,a(1)=56} ogf] A087291 4.44554 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=0,a(1)=2,a(2)=18} ogf] A087291 4.65135 [(9*f(x)+2)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+4*x^2-f(x)+2*x) ogf] A087291 8.66114 [-2*x*(2*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A087291 9.30589 [-(9-28*x+32*x^3-4*x^2)/(-1+x)/(2*x+1)/(2*x-1)/(4*x-1) lgdogf] A087292 11.1132 [-24*x*(3*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A087292 11.9304 [-2*(8-39*x+81*x^3-18*x^2)/(-1+x)/(-1+3*x)/(1+3*x)/(9*x-1) lgdogf] A087292 5.88904 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=0,a(1)=24,a(2)=384} ogf] A087292 6.15195 [(2*f(x)+3)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+72*x^2-f(x)+24*x) ogf] A087323 14.3494 [x*(4*x-3)/(x-1)/(2*x-1)^2 ogf] A087323 20.7056 [-(11-26*x+16*x^2)/(x-1)/(4*x-3)/(2*x-1) lgdogf] A087323 7.30281 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=0,a(1)=3,a(2)=11} ogf] A087323 7.43558 [(11*f(x)-182)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-4*x^2-f(x)+3*x) ogf] A087327 10.3910 [(x^6-2*x^5+2*x^3-2*x^2-1)/(x+1)/(x-1)^3 ogf] A087327 11.6298 [2*(1+4*x-x^2+x^7-2*x^6-x^5+4*x^4)/(x-1)/(x+1)/(x^6-2*x^5+2*x^3-2*x^2-1) lgdogf] A087328 4.49952 [(x^15-2*x^14+2*x^12-x^11+x^9-3*x^8-x^7+4*x^6+x^5-6*x^4+2*x^3+2*x^2-x-1)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A087330 3.14043 [(687567907566*f(x)+566869982815)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-125*x^3-22*f(x)*x-40*x^2+f(x)-15*x) ogf] A087330 6.20608 [5*x*(25*x^2+8*x+3)/(10*x-1)^2/(x-1)^2 ogf] A087330 8.69171 [-2*(-37-9*x+250*x^3+120*x^2)/(x-1)/(-1+10*x)/(25*x^2+8*x+3) lgdogf] A087348 12.6599 [-(x^2+14*x+5)/(x-1)^3 ogf] A087348 24.0613 [-(x+29)*(x+1)/(x-1)/(x^2+14*x+5) lgdogf] A087348 6.59589 [(4150*f(x)-46853)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+14*x+5) ogf] A087348 6.88518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=29,a(2)=73} ogf] A087404 13.5319 [2*(2*x-1)/(x+1)/(5*x-1) ogf] A087404 14.9143 [-2*(-1-5*x+5*x^2)/(-1+2*x)/(5*x-1)/(x+1) lgdogf] A087404 6.84197 [(189*f(x)-346)*(5*f(x)*x^2+4*f(x)*x-f(x)-4*x+2) ogf] A087404 7.42604 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=2,a(1)=4} ogf] A087405 11.3727 [-2*(2*x-1)*(x-1)/(x+1)/(5*x-1) ogf] A087405 13.4179 [(-1-14*x+23*x^2)/(x-1)/(2*x-1)/(5*x-1)/(x+1) lgdogf] A087405 5.85197 [{-a(n+3)+4*a(n+2)+5*a(n+1),a(0)=2,a(1)=2,a(2)=22} ogf] A087405 6.21395 [(441*f(x)-877)*(5*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-6*x+2) ogf] A087413 3.63652 [{(-27*n^2-189*n-330)*a(n+1)+(31*n^2+219*n+386)*a(n+2)+(-4*n^2-30*n-56)*a(n+3),a(0)=1,a(1)=6,a(2)=34} ogf] A087420 9.23317 [2*(x^5+x^4-x^3-4*x^2-2*x-1)/(x-1)^3/(x+1)^3 ogf] A087423 4.83037 [(29682*f(x)+30929)*(64*f(x)*x^3-128*f(x)*x^2+32*f(x)*x+192*x^2-f(x)-256*x+32) ogf] A087423 5.02673 [{-a(n+3)+32*a(n+2)-128*a(n+1)+64*a(n),a(0)=32,a(1)=768,a(2)=20672} ogf] A087423 8.31777 [-4*(6-61*x+256*x^2-256*x^3+96*x^4)/(-1+4*x)/(6*x^2-8*x+1)/(16*x^2-28*x+1) lgdogf] A087423 8.83269 [-32*(6*x^2-8*x+1)/(4*x-1)/(16*x^2-28*x+1) ogf] A087424 5.17130 [-81*(26244*x^3-15309*x^2+1008*x-7)/(729*x^2-486*x+1)/(729*x^2-81*x+1) ogf] A087426 14.1019 [-1/6*(-1-3*x+(1+x)^(1/2)*(1+5*x)^(1/2))/x revogf] A087426 15.8693 [3*x/(9*x^2-9*x+1) ogf] A087426 23.1270 [-9*(-1+2*x)/(9*x^2+1-9*x) lgdogf] A087426 7.24893 [{a(n+2)-9*a(n+1)+9*a(n),a(0)=0,a(1)=3} ogf] A087426 9.95192 [-9*f(x)*x^2+9*f(x)*x-f(x)+3*x ogf] A087431 16.9173 [2*(1+2*x^2)/(2*x-1)/(4*x^3-8*x^2+4*x-1) lgdogf] A087431 5.02316 [{a(n+4)-6*a(n+3)+12*a(n+2)-8*a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=28} ogf] A087431 5.42827 [-(-1+2*f(x))*(8*f(x)*x^3-12*f(x)*x^2-4*x^3+6*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A087431 9.61577 [(4*x^3-8*x^2+4*x-1)/(2*x-1)^3 ogf] A087432 10.4278 [(x-1)*(2*x^2+2*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A087432 4.81892 [{-a(n+4)+4*a(n+3)-a(n+2)-6*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A087432 7.14715 [-6*f(x)*x^3-f(x)*x^2+2*x^3+4*f(x)*x-f(x)-3*x+1 ogf] A087432 9.02774 [(1-2*x-9*x^2+20*x^3+2*x^4)/(-1+x)/(3*x-1)/(2*x-1)/(x+1)/(2*x^2+2*x-1) lgdogf] A087433 4.88793 [{-a(n+4)+8*a(n+3)-19*a(n+2)+12*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=20} ogf] A087433 5.23706 [-(5*f(x)-29)*(12*f(x)*x^3-19*f(x)*x^2-2*x^3+8*f(x)*x+9*x^2-f(x)-6*x+1) ogf] A087433 8.86294 [2*(1-10*x+35*x^4-56*x^3+36*x^2)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1)/(x^2-4*x+1) lgdogf] A087433 9.29394 [(2*x-1)*(x^2-4*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A087438 10.2404 [-(3*x-1)*(x-1)/(4*x-1)/(2*x-1)^2 ogf] A087438 11.2934 [-2*(-2+13*x+12*x^3-26*x^2)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A087438 5.60995 [{a(n+3)-8*a(n+2)+20*a(n+1)-16*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A087438 5.70925 [(4*f(x)-7)*(16*f(x)*x^3-20*f(x)*x^2+8*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A087439 10.1258 [-(-5+46*x-137*x^2+120*x^3)/(x-1)/(-1+4*x)/(-1+3*x)/(5*x-1) lgdogf] A087439 10.9029 [(4*x-1)/(x-1)/(3*x-1)/(5*x-1) ogf] A087439 5.21445 [{a(n+3)-9*a(n+2)+23*a(n+1)-15*a(n),a(0)=1,a(1)=5,a(2)=22} ogf] A087439 5.30675 [-(557*f(x)-165)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x-f(x)-4*x+1) ogf] A087440 12.1725 [-(x+1)*(3*x-1)/(4*x-1)/(2*x-1) ogf] A087440 13.1757 [-2*(2-11*x+17*x^2)/(4*x-1)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A087440 6.26353 [{a(n+3)-6*a(n+2)+8*a(n+1),a(0)=1,a(1)=4,a(2)=13} ogf] A087440 6.65098 [-(f(x)+7)*(8*f(x)*x^2-6*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A087444 13.7199 [(5*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A087444 17.0987 [-(4+16*x+5*x^3+11*x^2)/(x-1)/(x+1)/(5*x^2+3*x+1) lgdogf] A087444 7.15309 [-(9*f(x)-329)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-3*x-1) ogf] A087444 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A087445 13.7258 [(7*x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A087445 17.1077 [-(5+21*x+7*x^3+15*x^2)/(x-1)/(x+1)/(7*x^2+4*x+1) lgdogf] A087445 7.4095 [(4*f(x)-165)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-4*x-1) ogf] A087445 7.40950 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A087446 13.5986 [(9*x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A087446 16.9477 [-(6+26*x+9*x^3+19*x^2)/(x-1)/(x+1)/(9*x^2+5*x+1) lgdogf] A087446 7.27647 [(15*f(x)-704)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-5*x-1) ogf] A087446 7.34086 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=16} ogf] A087447 10.9842 [-(x-1)*(2*x^2-2*x+1)/(2*x-1)^2 ogf] A087447 13.6757 [(1+2*x-6*x^2+4*x^3)/(x-1)/(-1+2*x)/(2*x^2-2*x+1) lgdogf] A087447 5.82640 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=1,a(2)=4,a(3)=10} ogf] A087447 6.63402 [(f(x)+2)*(4*f(x)*x^2+2*x^3-4*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A087448 4.35889 [(96*f(x)-307)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2+10*x^3-8*f(x)*x-13*x^2+f(x)+6*x-1) ogf] A087448 7.74916 [-(2*x-1)*(5*x^2-4*x+1)/(3*x-1)^2/(x-1)^2 ogf] A087448 9.04127 [-2*(1-5*x+12*x^2-19*x^3+15*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(5*x^2-4*x+1) lgdogf] A087449 10.0037 [-(7*x^2-5*x+1)/(x-1)/(4*x-1)^2 ogf] A087449 11.6546 [-(-4+18*x+28*x^3-33*x^2)/(x-1)/(-1+4*x)/(7*x^2-5*x+1) lgdogf] A087449 5.48029 [{a(n+3)-9*a(n+2)+24*a(n+1)-16*a(n),a(0)=1,a(1)=4,a(2)=19} ogf] A087449 5.4803 [(40*f(x)-77)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A087451 14.3356 [(x-2)/(3*x-1)/(2*x+1) ogf] A087451 16.6335 [-(-1-24*x+6*x^2)/(x-2)/(3*x-1)/(2*x+1) lgdogf] A087451 7.24835 [(350*f(x)-699)*(6*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A087451 7.86712 [{-a(n+2)+a(n+1)+6*a(n),a(0)=2,a(1)=1} ogf] A087452 15.5346 [(x-2)/(3*x+1)/(4*x-1) ogf] A087452 17.5429 [-(-1-48*x+12*x^2)/(x-2)/(3*x+1)/(-1+4*x) lgdogf] A087452 7.76729 [(1274*f(x)-2547)*(12*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A087452 8.60953 [{-a(n+2)+a(n+1)+12*a(n),a(0)=2,a(1)=1} ogf] A087453 11.3445 [-11*f(x)*x^2+13*f(x)*x-f(x)+5*x ogf] A087453 11.3770 [-1/22*(-5-13*x+(5+26*x+25*x^2)^(1/2)*5^(1/2))/x revogf] A087453 17.7439 [5*x/(11*x^2-13*x+1) ogf] A087453 19.8044 [-(-13+22*x)/(11*x^2+1-13*x) lgdogf] A087453 8.33752 [{a(n+2)-13*a(n+1)+11*a(n),a(0)=0,a(1)=5} ogf] A087455 17.5413 [-(x-1)/(3*x^2-2*x+1) ogf] A087455 9.28654 [(2*f(x)-3)*(3*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A087455 9.62630 [{a(n+2)-2*a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A087462 9.87598 [-(4*x^5-2*x^4+x^3+x^2+x+1)/(x+1)/(2*x-1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A087463 10.5320 [-x*(4*x^4-2*x^3+x+1)/(x+1)/(2*x-1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A087463 6.81607 [-(1+15*x^2+30*x^3+48*x^5+64*x^9+12*x^6-48*x^8)/(-1+2*x)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1)/(4*x^4-2*x^3+x+1) lgdogf] A087464 11.1234 [2*x^2*(2*x^3-3*x^2-1)/(x+1)/(2*x-1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A087464 7.39005 [-3*x*(-2-32*x^6-5*x-7*x^3-16*x^4+16*x^7)/(-1+2*x)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1)/(2*x^3-3*x^2-1) lgdogf] A087475 13.7292 [-(5*x^2-7*x+4)/(x-1)^3 ogf] A087475 24.1692 [-(5-4*x+5*x^2)/(x-1)/(5*x^2-7*x+4) lgdogf] A087475 7.47749 [(4*f(x)-25)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-7*x+4) ogf] A087475 7.47750 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=5,a(2)=8} ogf] A087483 14.4992 [-(x^2+1)*(x^4+2*x^2+4*x+2)/(x-1)/(x^2+x+1)/(x^4-x^3+x^2+1) lgdogf] A087483 9.63064 [-(x^4-x^3+x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A087503 13.4401 [(2*x+1)/(x-1)/(3*x^2-1) ogf] A087503 15.5160 [-3*(-1-2*x+4*x^3+x^2)/(x-1)/(2*x+1)/(3*x^2-1) lgdogf] A087503 6.36004 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A087503 6.91577 [(f(x)-1)*(3*f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A087504 22.2351 [-x^8+x^5+x^3+1 ogf_with_Euler_transform] A087504 9.27412 [(x^6+x^3+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A087507 13.7251 [-(1+2*x+6*x^5+5*x^3+4*x^4+12*x^2)/(x-1)/(x^2+x+1)/(2*x^3+x^2+x+1) lgdogf] A087507 13.9916 [(2*x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A087508 15.2559 [x*(x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A087508 24.2008 [-(1+6*x^2+5*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A087508 32.2564 [2*x^2-x+1 ogf_with_Euler_transform] A087509 14.3008 [x^2*(x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A087509 21.9731 [-x*(x^2-2*x-1) ogf_with_Euler_transform] A087509 22.1657 [-2*x*(1+2*x^3+3*x)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A087539 6.67451 [-x^2*(x^2-x+1)*(x^3-x^2+1)/(x^6+x^3+1)/(x-1)^3 ogf] A087539 7.15618 [-(2-2*x+4*x^11-11*x^10+16*x^9-5*x^8-10*x^7+18*x^6+3*x^2+2*x^4-8*x^5)/(x-1)/(x^2-x+1)/(x^3-x^2+1)/(x^6+x^3+1) lgdogf] A087547 5.26853 [{(-2*n^2-7*n-6)*a(n+1)+(3*n+7)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A087567 18.5075 [1/38/x*(-7*x-1+(125*x^2+14*x+1)^(1/2)) revogf] A087567 21.0430 [-1/(19*x^2+7*x-1) ogf] A087567 29.3035 [-(7+38*x)/(19*x^2-1+7*x) lgdogf] A087567 8.13026 [-(87*f(x)-38)*(19*f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A087567 8.62002 [{-a(n+2)+7*a(n+1)+19*a(n),a(0)=1,a(1)=7} ogf] A087579 17.8167 [1/58/x*(-1-8*x+(1+16*x+180*x^2)^(1/2)) revogf] A087579 20.2652 [-1/(29*x^2+8*x-1) ogf] A087579 26.0398 [-2*(4+29*x)/(29*x^2-1+8*x) lgdogf] A087579 7.82975 [-(61*f(x)-29)*(29*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A087579 8.30142 [{-a(n+2)+8*a(n+1)+29*a(n),a(0)=1,a(1)=8} ogf] A087584 18.5262 [1/82/x*(-1-9*x+(1+18*x+245*x^2)^(1/2)) revogf] A087584 21.0582 [-1/(41*x^2+9*x-1) ogf] A087584 29.3332 [-(9+82*x)/(41*x^2-1+9*x) lgdogf] A087584 8.04472 [-(163*f(x)-82)*(41*f(x)*x^2+9*f(x)*x-f(x)+1) ogf] A087584 8.62625 [{-a(n+2)+9*a(n+1)+41*a(n),a(0)=1,a(1)=9} ogf] A087603 12.7494 [1/110/x*(-10*x-1+(320*x^2+20*x+1)^(1/2)) revogf] A087603 18.2135 [-10*(1+11*x)/(55*x^2-1+10*x) lgdogf] A087603 19.0968 [-1/(55*x^2+10*x-1) ogf] A087603 7.59531 [(1181*f(x)-781)*(55*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A087603 7.86339 [{-a(n+2)+10*a(n+1)+55*a(n),a(0)=1,a(1)=10} ogf] A087619 4.01029 [-(18773*f(x)-18777)*(f(x)*x^2+137*f(x)*x-f(x)-137*x+2) ogf] A087619 4.70977 [{-a(n+2)+137*a(n+1)+a(n),a(0)=2,a(1)=137} ogf] A087619 8.26612 [(137*x-2)/(x^2+137*x-1) ogf] A087619 9.18839 [-(-137-4*x+137*x^2)/(137*x-2)/(x^2+137*x-1) lgdogf] A087620 10.1820 [-(1+4*x+7*x^4+20*x^3+12*x^7+5*x^6+12*x^5+3*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^4+x^3+2*x^2+x+1) lgdogf] A087620 12.6524 [(3*x^4+x^3+2*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A087621 6.39968 [(3*f(x)-5)*(64*f(x)*x^4-4*f(x)*x^2+64*x^3-8*x^2+f(x)-2*x+1) ogf] A087621 7.81373 [-2*(1+4*x-64*x^4+128*x^3+2048*x^6-512*x^5-92*x^2)/(4*x+1)/(16*x^2-6*x+1)/(64*x^4-4*x^2+1) lgdogf] A087621 9.83833 [-(4*x+1)*(16*x^2-6*x+1)/(64*x^4-4*x^2+1) ogf] A087626 13.9736 [-1/2*(-1-2*x-x^2+(1+4*x+6*x^2+x^4)^(1/2))/x^2 revogf] A087626 8.33565 [x^3*f(x)^2-f(x)^2*x^2-2*f(x)*x+f(x)-1 ogf] A087627 15.4090 [-2*(1+2*x+3*x^2+4*x^4+5*x^3)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A087627 15.9823 [(2*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A087628 8.80602 [-(8*x^5-4*x^4-5*x^3+2*x^2+2*x+1)/(x+1)/(2*x-1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A087629 5.55002 [-(1+6*x+21*x^4+30*x^3+64*x^9-120*x^8+96*x^7+12*x^6+48*x^5+6*x^2)/(2*x-1)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1)/(4*x^4-5*x^3+3*x^2+x+1) lgdogf] A087629 9.77107 [-(4*x^4-5*x^3+3*x^2+x+1)/(x+1)/(2*x-1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A087635 10.1638 [-4*f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A087635 14.3997 [-1/4*(-1-3*x+(1+x)^(1/2)*(1+5*x)^(1/2))/x revogf] A087635 16.2071 [2*x/(4*x^2-6*x+1) ogf] A087635 23.6155 [-2*(-3+4*x)/(4*x^2+1-6*x) lgdogf] A087635 7.40323 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=0,a(1)=2} ogf] A087640 10.5661 [(x-1)*(x^2-x-1)/(x^3-3*x^2-x+1) ogf] A087640 11.8081 [-(-1-2*x+x^4+2*x^3-2*x^2)/(x-1)/(x^2-x-1)/(x^3-3*x^2-x+1) lgdogf] A087640 5.20302 [{a(n+4)-a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A087640 5.97215 [(2*f(x)-1)*(f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+2*x^2+f(x)-1) ogf] A087645 13.9087 [-(3+6*x+x^4-4*x^3+9*x^2)/(x-1)/(x^4-4*x^3+7*x^2-2*x+1) lgdogf] A087645 7.97411 [-2*(x^4-4*x^3+7*x^2-2*x+1)/(x-1)^5 ogf] A087702 11.5129 [10*(99+2*x+23562*x^32+2926*x^18+84*x^6)/(10*x^2+1+990*x+1540*x^19+120*x^7+7140*x^33) lgdogf] A087719 4.81918 [-(10*f(x)-381)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+60*x^2-f(x)-63*x+15) ogf] A087719 5.06844 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=15,a(1)=27,a(2)=57} ogf] A087719 7.87982 [-(9-70*x+120*x^4-252*x^3+201*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(20*x^2-21*x+5) lgdogf] A087719 9.04522 [-3*(20*x^2-21*x+5)/(x-1)/(3*x-1)/(2*x-1) ogf] A087752 10.3723 [{a(n+1)-49*a(n),a(0)=1} ogf] A087752 13.0889 [-49*f(x)*x+f(x)-1 ogf] A087752 24.9879 [-1/(49*x-1) ogf] A087752 35.9268 [1/49*ln(1+49*x) revegf] A087752 41.4540 [-49/(-1+49*x) lgdogf] A087761 6.15963 [(n^2+6*n+9)*a(n+1)+(-11*n-14-2*n^2)*a(n+2)+(5*n+6+n^2)*a(n+3),a(0)=1,a(1)=3,a(2)=11/2 lgdegf] A087774 10.4436 [(10*x^6+x^5-2*x^4-21*x^3+2*x^2+2*x+11)/(x-1)^2/(x^2+x+1)^2 ogf] A087774 9.92389 [-(x^3-3*x^2-3*x-1)*(x^4-x^3-3*x^2+2*x-2)/(x-1)/(10*x^6+x^5-2*x^4-21*x^3+2*x^2+2*x+11)/(x^2+x+1) lgdogf] A087775 12.6585 [-(-2-4*x+3*x^5+4*x^6-3*x^2-2*x^3+17*x^4+5*x^7)/(x-1)/(x^2+x+1)/(5*x^5+2*x^4+x^3-2*x^2-2*x-1) lgdogf] A087775 12.8493 [-(5*x^5+2*x^4+x^3-2*x^2-2*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A087787 19.1569 [-(-x^2+2*x)/(x-1) ogf_with_Euler_transform] A087798 12.6938 [(9*x-2)/(x^2+9*x-1) ogf] A087798 15.9841 [-(-9-4*x+9*x^2)/(9*x-2)/(x^2+9*x-1) lgdogf] A087798 15.9841 [1/2/(x-9)*(-2-9*x+(4+85*x^2)^(1/2)) revogf] A087798 6.27716 [-(85*f(x)-89)*(f(x)*x^2+9*f(x)*x-f(x)-9*x+2) ogf] A087798 6.96611 [{-a(n+2)+9*a(n+1)+a(n),a(0)=2,a(1)=9} ogf] A087799 13.7039 [-2*(5*x-1)/(x^2-10*x+1) ogf] A087799 18.0600 [-(5-2*x+5*x^2)/(5*x-1)/(1-10*x+x^2) lgdogf] A087799 6.64003 [-(1188*f(x)-1751)*(f(x)*x^2-10*f(x)*x+f(x)+10*x-2) ogf] A087799 7.66764 [{a(n+2)-10*a(n+1)+a(n),a(0)=2,a(1)=10} ogf] A087800 12.0535 [-2*(6*x-1)/(x^2-12*x+1) ogf] A087800 15.8557 [-2*(3-x+3*x^2)/(6*x-1)/(x^2-12*x+1) lgdogf] A087800 5.84034 [-(5005*f(x)-7418)*(f(x)*x^2-12*f(x)*x+f(x)+12*x-2) ogf] A087800 6.74420 [{a(n+2)-12*a(n+1)+a(n),a(0)=2,a(1)=12} ogf] A087811 22.7285 [-1/(x+1)/(x-1)^3 ogf] A087811 37.4901 [-2*(2*x+1)/(x-1)/(x+1) lgdogf] A087811 39.8701 [[2+x] ogf_with_Euler_transform] A087811 6.78189 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A087811 8.49449 [(5*f(x)-7)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A087863 10.3067 [(x^3-3*x^2-3*x+6)/(x-1)^4 ogf] A087863 17.6947 [-(21-15*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2-3*x+6) lgdogf] A087863 4.04905 [{(111*n^2+661*n+878)*a(n+1)+(-242*n^2-1400*n-1916)*a(n+2)+(131*n^2+679*n+858)*a(n+3),a(0)=6,a(1)=21,a(2)=45} ogf] A087863 5.47319 [(1301*f(x)+643073)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)+3*x-6) ogf] A087866 24.4008 [-x^14+x^9+x^5+1 ogf_with_Euler_transform] A087866 6.19879 [(x^8-x^7+x^5-x^4+x^3-x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A087887 21.6925 [-2*(7+10*x+x^2)/(x-1)/(x^2+6*x+2) lgdogf] A087887 3.61408 [{(6+2*n)*a(n+4)+(-6+4*n)*a(n+3)+(-25-5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=24,a(2)=168,a(3)=540} ogf] A087887 5.39262 [-(938466*f(x)+30587185)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-12*x^3-4*f(x)*x-72*x^2+f(x)-24*x) ogf] A087887 9.55829 [12*x*(x^2+6*x+2)/(x-1)^4 ogf] A087897 26.8173 [-x^2/(x^2-1) ogf_with_Euler_transform] A087908 12.0743 [-(3+19*x+x^3+x^2)/(-1+x)/(x^3-x^2+7*x-1) lgdogf] A087908 3.4012 [(28809*f(x)+50686)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+x^2+f(x)-7*x+1) ogf] A087908 6.40486 [(x^3-x^2+7*x-1)/(x-1)^4 ogf] A087912 14.4919 [-39+13*x+(1-22*x+13*x^2)*f(x)+(4-8*x+4*x^2)*f(x)^2 lgdegf] A087912 5.15227 [{(-n^2-4*n-4)*a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=14} ogf] A087923 3.16549 [{(-8*n^2-36*n-36)*a(n+1)+(6*n+20)*a(n+2)-a(n+3),a(0)=2,a(1)=16,a(2)=208} ogf] A087935 15.8366 [(x^4-5)/(x^5+x^4-1) ogf] A087935 22.3034 [-x^3*(x^5-16-25*x)/(x^4-5)/(x^5+x^4-1) lgdogf] A087936 15.7724 [(x^5-6)/(x^6+x^5-1) ogf] A087936 22.6550 [-x^4*(x^6-36*x-25)/(x^5-6)/(x^6+x^5-1) lgdogf] A087940 11.4017 [-(x^3+2*x^2-3*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A087940 12.0739 [-(5-2*x+5*x^4-8*x^3-2*x^2)/(x-1)/(2*x-1)/(x+1)/(x^3+2*x^2-3*x-1) lgdogf] A087940 5.91515 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=5,a(2)=9,a(3)=20} ogf] A087940 6.34447 [(972*f(x)+3037)*(2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+2*x^2+f(x)-3*x-1) ogf] A087944 10.0654 [-2*(1-6*x+3*x^4-8*x^3+12*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x^2-4*x+1) lgdogf] A087944 10.6065 [-(3*x-1)*(x-1)/(2*x-1)/(x^2-4*x+1) ogf] A087944 5.77674 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A087944 6.04667 [-f(x)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A087945 10.2114 [(x^2+2*x-1)/(2*x-1)/(x^2-4*x+1) ogf] A087945 5.51237 [{a(n+3)-6*a(n+2)+9*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A087945 5.6117 [(8*f(x)+1)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-x^2-f(x)-2*x+1) ogf] A087945 9.84170 [-2*(-2+10*x-15*x^2+4*x^3+x^4)/(-1+2*x)/(x^2-4*x+1)/(x^2+2*x-1) lgdogf] A087946 10.0551 [-(x^2-3*x+1)/(2*x-1)/(x^2-4*x+1) ogf] A087946 5.198 [-(129*f(x)+11)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A087946 5.42800 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A087946 9.84675 [-(3-16*x+27*x^2-12*x^3+2*x^4)/(2*x-1)/(x^2-4*x+1)/(x^2-3*x+1) lgdogf] A087953 7.42254 [-(x^4-2*x^3+x^2-2*x+1)/(x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A087953 7.52030 [-(1+x^8-4*x^7+8*x^6-12*x^5+13*x^4-4*x^2)/(x-1)/(x^2-3*x+1)/(x^4-2*x^3+x^2-2*x+1)/(x^2+x+1) lgdogf] A087955 12.6993 [-2*(-1+2*x^3-3*x^2)/(x-1)/(x^2-2*x-1)/(x^3-3*x^2-x+1) lgdogf] A087955 5.20302 [{-a(n+4)+a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=8} ogf] A087955 5.77141 [(-5+8*f(x))*(f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+3*x^2+f(x)-x-1) ogf] A087955 9.95359 [(x-1)*(x^2-2*x-1)/(x^3-3*x^2-x+1) ogf] A087956 10.0531 [(x-1)*(x^2-3*x-1)/(x^3-3*x^2-x+1) ogf] A087956 11.7229 [(3-2*x+x^4-6*x^3+10*x^2)/(x-1)/(x^2-3*x-1)/(x^3-3*x^2-x+1) lgdogf] A087956 5.21553 [{a(n+4)-a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=2,a(3)=11} ogf] A087956 5.46193 [-(-413+558*f(x))*(f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+4*x^2+f(x)-2*x-1) ogf] A087957 11.1260 [2*(2-2*x+7*x^2-4*x^3+x^4)/(x-1)/(x^2-4*x-1)/(x^3-3*x^2-x+1) lgdogf] A087957 5.03786 [{a(n+4)-a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=4,a(2)=2,a(3)=14} ogf] A087957 5.27587 [-(-155+181*f(x))*(f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+5*x^2+f(x)-3*x-1) ogf] A087957 9.71067 [(x-1)*(x^2-4*x-1)/(x^3-3*x^2-x+1) ogf] A087958 10.8169 [(5-6*x+18*x^2-10*x^3+3*x^4)/(x-1)/(x^2-5*x-1)/(x^3-3*x^2-x+1) lgdogf] A087958 5.06344 [{a(n+4)-a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=5,a(2)=2,a(3)=17} ogf] A087958 5.22044 [-(-2873+2954*f(x))*(f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+6*x^2+f(x)-4*x-1) ogf] A087958 9.75997 [(x-1)*(x^2-5*x-1)/(x^3-3*x^2-x+1) ogf] A087960 14.7828 [{-a(n+2)-a(n),a(0)=1,a(1)=-1} ogf] A087960 21.0244 [f(x)*x^2+f(x)+x-1 ogf] A087960 23.0756 [-(x-1)/(x^2+1) ogf] A087960 32.5538 [[x^3-x-1] ogf_with_Euler_transform] A087960 33.0970 [-1/2*(-1+(1-4*x-4*x^2)^(1/2))/(1+x) revogf] A087960 42.9035 [-(-1-2*x+x^2)/(x-1)/(1+x^2) lgdogf] A087981 6.97020 [{(2*n+4)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A087981 91.7381 [-2*x/(x-1) lgdegf] A087995 5.70057 [-x*(81*x^14-19*x^13-19*x^12-19*x^11-19*x^10-101*x^9-x^4-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A088002 16.6795 [(x^2+1)/(x^5+x^2+1) ogf] A088002 29.8205 [-x^4*(3*x^2+5)/(x^2+1)/(x^5+x^2+1) lgdogf] A088003 16.5748 [-2*(2+7*x+4*x^3+7*x^2)/(x-1)/(x+1)/(2*x^2+2*x+1) lgdogf] A088003 9.53905 [(2*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A088009 12.4766 [-(-1-6*x+4*x^3-2*x^2-x^4+2*x^5)/(x^2+1)/(x-1)^2/(x+1)^2 lgdegf] A088009 3.67671 [{(n+4)*a(n+4)-a(n+3)+(-2*n-4)*a(n+2)-a(n+1)+n*a(n),a(0)=1,a(1)=1,a(2)=1/2,a(3)=7/6} egf] A088013 10.7891 [-(x-1)*(2*x^2+2*x-1)/(2*x^2-1)/(2*x^2-4*x+1) ogf] A088013 5.82421 [(16*f(x)+13)*(4*f(x)*x^4-8*f(x)*x^3+2*x^3+4*f(x)*x-f(x)-3*x+1) ogf] A088013 8.60138 [-(1+8*x^6-36*x^4+48*x^3-18*x^2)/(x-1)/(2*x^2-1)/(2*x^2+2*x-1)/(2*x^2-4*x+1) lgdogf] A088014 4.8555 [-(245*f(x)-102)*(2*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*x^3-2*f(x)*x+3*x^2+f(x)+3*x-2) ogf] A088014 8.73979 [-(-1-6*x+4*x^6-12*x^5-24*x^4+21*x^2)/(x-2)/(-1+2*x)/(x+1)/(2*x^2-1)/(x^2+2*x-1) lgdogf] A088014 9.14348 [(x-2)*(2*x-1)*(x+1)/(2*x^2-1)/(x^2+2*x-1) ogf] A088015 6.70334 [-2*x*(-4+4*x^7-2*x^6+4*x^5+2*x^4-3*x^3-14*x^2+15*x)/(x-1)/(2*x^2-1)/(x^2+2*x-1)/(4*x^4-x^3-3*x^2+3*x-1) lgdogf] A088015 7.53384 [(4*x^4-x^3-3*x^2+3*x-1)/(x-1)/(2*x^2-1)/(x^2+2*x-1) ogf] A088016 10.9540 [(-1-6*x+x^4-10*x^3+14*x^2)/(x-1)/(x^2-x+1)/(x^3-x^2-3*x+1) lgdogf] A088016 4.87490 [{-a(n+4)+3*a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=6,a(3)=17} ogf] A088016 5.06532 [-(197+1304*f(x))*(f(x)*x^3-f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A088016 9.39655 [-(x-1)*(x^2-x+1)/(x^3-x^2-3*x+1) ogf] A088026 3.91357 [{(16*n^3+32*n^2+12*n)*a(n)+(-8*n^2-24*n-18)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} egf] A088037 4.02529 [{-a(n+5)+7*a(n+4)-14*a(n+3)+8*a(n+2),a(0)=4,a(1)=9,a(2)=9,a(3)=49,a(4)=225} ogf] A088037 4.10858 [-(95643*f(x)-1359734)*(8*f(x)*x^3-64*x^4-14*f(x)*x^2+80*x^3+7*f(x)*x+2*x^2-f(x)-19*x+4) ogf] A088037 5.50190 [(9-108*x+512*x^6+588*x^2-1680*x^3+2480*x^4-1792*x^5)/(x-1)/(2*x+1)/(-1+2*x)/(4*x-1)/(32*x^3-56*x^2+27*x-4) lgdogf] A088037 7.35485 [(2*x+1)*(32*x^3-56*x^2+27*x-4)/(x-1)/(2*x-1)/(4*x-1) ogf] A088038 5.43383 [-(3904*x^5-6104*x^4+2502*x^3-329*x^2+56*x-8)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A088039 11.2590 [-(2*x^3-x^2+2*x-2)/(2*x-1)/(x-1) ogf] A088039 11.4078 [(-4+6*x+4*x^4-12*x^3+5*x^2)/(x-1)/(2*x-1)/(2*x^3-x^2+2*x-2) lgdogf] A088039 5.97216 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=2,a(1)=4,a(2)=9,a(3)=17} ogf] A088039 6.35924 [-(74*f(x)+307)*(2*f(x)*x^2+2*x^3-3*f(x)*x-x^2+f(x)+2*x-2) ogf] A088040 3.21956 [(81920*x^7-75776*x^6-45184*x^5+43696*x^4-2840*x^3-2530*x^2+415*x-16)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A088041 10.7585 [(2*x^2-1)*(8*x^3-18*x^2+12*x-3)/(x-1)/(2*x-1)/(4*x^4-2*x^2-3*x+2) lgdogf] A088041 11.6932 [(4*x^4-2*x^2-3*x+2)/(2*x-1)/(x-1) ogf] A088041 5.66102 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=2,a(1)=3,a(2)=3,a(3)=3,a(4)=7} ogf] A088041 6.79321 [-(f(x)-2)*(-4*x^4+2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+3*x-2) ogf] A088059 3.28233 [(x^2-2*x-1)/(x-1)^3 ogf] A088059 5.88888 [-(-5-2*x+x^2)/(-1+x)/(x^2-2*x-1) lgdogf] A088116 6.61950 [2*x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A088117 4.42453 [x^10*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A088126 16.9479 [(18+2*x+7*x^6+19*x^18+33*x^32)/(x^2+1+18*x+x^19+x^7+x^33) lgdogf] A088127 3.62999 [{(-2*n^2-10*n-12)*a(n+1)+(-n^2-3*n)*a(n+2)+(2*n+6)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=14} ogf] A088131 10.2227 [(-1-8*x+25*x^2-22*x^3+4*x^4)/(x-1)/(2*x^2-2*x+1)/(x^3-4*x+1) lgdogf] A088131 10.2635 [-(x-1)*(2*x^2-2*x+1)/(x^3-4*x+1) ogf] A088131 5.44414 [{-a(n+4)+4*a(n+3)-a(n+1),a(0)=1,a(1)=1,a(2)=8,a(3)=29} ogf] A088131 5.69161 [-(1667*f(x)+503)*(f(x)*x^3+2*x^3-4*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A088132 14.2659 [-(x-1)/(x^3-4*x+1) ogf] A088132 18.5075 [-(3+2*x^3-3*x^2)/(x-1)/(x^3-4*x+1) lgdogf] A088132 6.75754 [{-a(n+3)+4*a(n+2)-a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A088132 7.13297 [-(19*f(x)-1)*(f(x)*x^3-4*f(x)*x+f(x)+x-1) ogf] A088137 13.2556 [-3*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A088137 23.6995 [x/(3*x^2-2*x+1) ogf] A088137 34.7087 [-2*(3*x-1)/(3*x^2+1-2*x) lgdogf] A088137 9.65533 [{a(n+2)-2*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A088138 12.4809 [4*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A088138 22.3144 [x/(4*x^2-2*x+1) ogf] A088138 32.5324 [-2*(-1+4*x)/(4*x^2+1-2*x) lgdogf] A088138 9.09106 [{a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A088139 11.5871 [-6*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A088139 20.7164 [x/(6*x^2-2*x+1) ogf] A088139 28.7061 [-2*(-1+6*x)/(6*x^2+1-2*x) lgdogf] A088139 8.44001 [{a(n+2)-2*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A088163 11.8686 [x*(x+1)*(2*x^2+x+1)/(x-1)/(4*x^3-1)/(x^2+x+1) ogf] A088163 7.16819 [-(-2-6*x-15*x^4-20*x^3+24*x^5+48*x^7+24*x^8+40*x^6-21*x^2)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+x+1)/(4*x^3-1) lgdogf] A088166 3.98726 [-2*(x^7-7*x^6-17*x^4+131*x^3-6*x^2+6*x-6)/(x^2-7*x+1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A088180 4.81807 [(9*x^10+13*x^9+26*x^8+25*x^7-22*x^6+23*x^5-6*x^4-2*x^3+3*x^2-5*x-1)/(x-1)/(x+1)/(19*x^2-1)/(x^3+x^2+2*x+1)/(x^3-x^2+2*x-1) ogf] A088209 18.1441 [-(-3-5*x-x^3+x^4)/(x^2+x-1)/(x^3-x-1) lgdogf] A088209 5.03908 [-(125*f(x)+34)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+f(x)-x-1) ogf] A088209 9.93212 [-(x^3-x-1)/(x^2+x-1)^2 ogf] A088210 16.9863 [-(-5+x+x^3-x^2)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A088210 4.89599 [(6*f(x)+11)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x+x^2+f(x)-x-1) ogf] A088210 8.77464 [-(x-1)*(x+1)^2/(x^2+2*x-1)^2 ogf] A088211 14.7776 [-2*(1+x+x^4-x^3)/(x^2+2*x-1)/(2*x^3+x^2-2*x+1) lgdogf] A088211 4.91559 [-(2*f(x)-1)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-2*x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A088211 9.00127 [(2*x^3+x^2-2*x+1)/(x^2+2*x-1)^2 ogf] A088218 10.339 [-4*f(x)^2*x+f(x)^2+4*f(x)*x-f(x)-x ogf] A088218 7.86195 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A088225 11.3094 [(3*x^4+x^3+x^2+4*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A088225 9.59906 [-(6+8*x+7*x^5+5*x^6+3*x^7+28*x^3+21*x^4+10*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^4+x^3+x^2+4*x+2) lgdogf] A088226 12.9152 [-(2*x^4+x^3+2*x^2+1)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A088227 11.1132 [(2*x^4+4*x^3+x^2+4*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A088227 9.12326 [-(6+8*x+23*x^4+27*x^3+9*x^5+2*x^7+10*x^6+19*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^4+4*x^3+x^2+4*x+2) lgdogf] A088265 8.46109 [-(100*x^7+80*x^6+40*x^5+20*x^4-19*x^3-17*x^2-13*x-11)/(x-1)/(x+1)/(x^2+1)/(10*x^4-1) ogf] A088305 13.1515 [(x-1)^2/(x^2-3*x+1) ogf] A088305 28.4817 [-(x+1)/(x-1)/(x^2-3*x+1) lgdogf] A088305 6.83364 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A088305 9.81733 [-f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 ogf] A088311 5.54499 [(x+1)*(x^2+1)*(x^7-x^6+1)/(x^10+x^9+x^8+x^7-x^6-x^5-x^4-x^3+1) egf] A088316 10.9109 [(13*x-2)/(x^2+13*x-1) ogf] A088316 12.8584 [-(-13-4*x+13*x^2)/(13*x-2)/(x^2+13*x-1) lgdogf] A088316 6.10489 [{-a(n+2)+13*a(n+1)+a(n),a(0)=2,a(1)=13} ogf] A088316 7.75737 [-(173*f(x)-177)*(f(x)*x^2+13*f(x)*x-f(x)-13*x+2) ogf] A088317 10.5980 [(4*x-1)/(x^2+8*x-1) ogf] A088317 13.2957 [-2*(-2-x+2*x^2)/(4*x-1)/(x^2+8*x-1) lgdogf] A088317 5.81599 [{-a(n+2)+8*a(n+1)+a(n),a(0)=1,a(1)=4} ogf] A088317 9.09293 [(1105*f(x)-849)*(f(x)*x^2+8*f(x)*x-f(x)-4*x+1) ogf] A088320 12.0411 [-(-5-2*x+5*x^2)/(5*x-1)/(x^2+10*x-1) lgdogf] A088320 5.35920 [{-a(n+2)+10*a(n+1)+a(n),a(0)=1,a(1)=5} ogf] A088320 8.63476 [-(52*f(x)-27)*(f(x)*x^2+10*f(x)*x-f(x)-5*x+1) ogf] A088320 9.66987 [(5*x-1)/(x^2+10*x-1) ogf] A088327 18.6496 [4/(1+(1-4*x)^(1/2))^2 ogf_with_Euler_transform] A088336 3.81209 [{(2*n^2+10*n+12)*a(n+1)+(-2*n-6)*a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A088381 8.37930 [2*(6+4*x^14-5*x^13-4*x-6*x^11+5*x^12-4*x^5-8*x^3+6*x^4+12*x^2)/(x-1)/(x^2+1)/(x^12+8*x^3-10*x^2+8*x-10) lgdogf] A088381 9.99802 [-(x^12+8*x^3-10*x^2+8*x-10)/(x-1)^2/(x^2+1) ogf] A088386 4.31487 [{(-2*n^3-12*n^2-24*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A088436 11.1716 [-(3-5*x+x^5-x^3-2*x^4+6*x^2)/(x-1)/(x^3-x^2-x+2) lgdegf] A088439 12.6560 [-x*(x^4+x^3-3*x^2-x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A088439 12.9853 [-(-1-6*x+2*x^6+3*x^5-12*x^4-x^3-3*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3-3*x^2-x-1) lgdogf] A088440 10.5520 [-x*(x^6+x^5+x^4-4*x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A088440 9.58062 [-(-1-2*x+2*x^9+3*x^8+4*x^7-20*x^6-2*x^4-4*x^3-12*x^2)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4-4*x^3-x^2-x-1) lgdogf] A088441 9.63119 [(x^8-x^6+x^5+3*x^4+x^2+3*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A088472 10.0275 [-(x^12+8*x^11+81*x^10-90*x^9-1)/(x-1)^2 ogf] A088472 9.34471 [2*(1+280*x^10+30*x^11+5*x^12-720*x^9+405*x^8)/(x-1)/(x^12+8*x^11+81*x^10-90*x^9-1) lgdogf] A088475 10.0252 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=11} ogf] A088475 18.3070 [-(9*x-10)/(x-1)^2 ogf] A088475 31.7447 [-(-5-x+(25+x)^(1/2))/(9+x) revogf] A088475 33.0144 [-(-11+9*x)/(x-1)/(9*x-10) lgdogf] A088475 9.56955 [(2*f(x)+101)*(f(x)*x^2-2*f(x)*x+f(x)+9*x-10) ogf] A088476 7.07664 [-(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-10)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A088480 10.0124 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A088480 10.3787 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A088480 104.265 [-2/(x-1) lgdogf] A088480 25.7896 [1/(x-1)^2 ogf] A088480 36.2661 [4*x/(1+(1+4*x)^(1/2))^2 revogf] A088481 7.77536 [(2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A088492 7.36546 [(3+8*x+12*x^17-36*x^15+36*x^13-6*x^11-18*x^9+16*x^7-x^4-12*x^3+6*x^2)/(x-1)/(x+1)/(x^16-2*x^14+x^12+x^10-2*x^8+3*x^4+x^3-3*x-2) lgdogf] A088492 8.74524 [-(x^16-2*x^14+x^12+x^10-2*x^8+3*x^4+x^3-3*x-2)/(x-1)^2/(x+1)^2 ogf] A088505 5.63888 [{(8*n+26)*a(n+1)+(-n-3)*a(n+2),a(0)=5,a(1)=45} ogf] A088505 8.25273 [1/8*((2*x+1)^(1/5)-1)*((2*x+1)^(1/5)+1)*((2*x+1)^(2/5)+1)/(2*x+1)^(4/5) revogf] A088506 3.76926 [{(-2*n^2-10*n-12)*a(n+1)+(2*n+6)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A088518 6.26851 [-f(x)^2*x^4-x^3*f(x)^2+f(x)*x^4+f(x)^2*x^2-3*f(x)*x^2+x^2+f(x)-x-1 ogf] A088520 6.60368 [(2*x^8-x^7-6*x^6+13*x^5-14*x^4+11*x^3-6*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A088545 8.35031 [-(x^4-4*x^3-9*x^2+6*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A088556 12.5589 [-(4*x^2+3*x-6)/(x-1)/(4*x-1)/(x+1) ogf] A088556 6.43775 [(16657*f(x)+22916)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+4*x^2+f(x)+3*x-6) ogf] A088556 6.72011 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=6,a(1)=21,a(2)=86} ogf] A088556 9.84740 [-(21+4*x+16*x^4+24*x^3-59*x^2)/(x-1)/(4*x-1)/(x+1)/(4*x^2+3*x-6) lgdogf] A088578 12.8352 [-(4*x^2-2*x+1)/(x-1)/(2*x-1)^2 ogf] A088578 13.7441 [-(-3+2*x+8*x^3-4*x^2)/(x-1)/(2*x-1)/(4*x^2-2*x+1) lgdogf] A088578 6.92876 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A088578 6.99062 [(37*f(x)-9)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A088581 11.9289 [-(9*x^2-3*x+1)/(x-1)/(3*x-1)^2 ogf] A088581 12.3308 [-(3*x-2)*(9*x^2+3*x+2)/(x-1)/(3*x-1)/(9*x^2-3*x+1) lgdogf] A088581 6.4312 [(103*f(x)-39)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+9*x^2-f(x)-3*x+1) ogf] A088581 6.48762 [{a(n+3)-7*a(n+2)+15*a(n+1)-9*a(n),a(0)=1,a(1)=4,a(2)=22} ogf] A088582 11.3144 [-(-5-4*x-16*x^2+64*x^3)/(x-1)/(-1+4*x)/(16*x^2-4*x+1) lgdogf] A088582 11.4708 [-(16*x^2-4*x+1)/(x-1)/(4*x-1)^2 ogf] A088582 6.22144 [(380*f(x)-177)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+16*x^2-f(x)-4*x+1) ogf] A088582 6.38374 [{a(n+3)-9*a(n+2)+24*a(n+1)-16*a(n),a(0)=1,a(1)=5,a(2)=37} ogf] A088625 102.130 [-9/(x-1) lgdogf] A088625 4.43485 [{(-6+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=14} ogf] A088625 7.86969 [-14*x^8/(x-1)^9 ogf] A088626 5.79526 [-42*x^10/(x-1)^11 ogf] A088626 85.4163 [-11/(x-1) lgdogf] A088648 10.3480 [(-5-7*x-10*x^4-2*x^3-18*x^5+16*x^6+6*x^2)/(x-1)/(4*x^6+2*x^5-2*x^3+2*x^2+3*x+1) lgdogf] A088648 10.8250 [(4*x^6+2*x^5-2*x^3+2*x^2+3*x+1)/(x-1)^2 ogf] A088650 4.13745 [-(6*x^6+2*x^2+x+1)/(x-1) ogf] A088666 7.76854 [-(2*x^9+7*x^8+2*x^7+7*x^6+6*x^5+7*x^4+2*x^3+7*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A088667 9.35182 [-(7*x^9+2*x^8+7*x^7+2*x^6+x^5+2*x^4+7*x^3+2*x^2+7*x+6)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A088688 6.79422 [-3*(1+4*x^7+13*x^6-54*x^5-8*x+80*x^4-64*x^3+30*x^2)/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1)/(x^3+3*x^2-3*x+1) lgdogf] A088688 7.57189 [-x*(x^3+3*x^2-3*x+1)/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A088689 11.3480 [-x*(2*x^3+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A088689 13.1443 [-(1-2*x+4*x^7-2*x^6+7*x^4-8*x^3+9*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^3+1) lgdogf] A088795 16.5402 [-(2+4*x^4+3*x^3-x^2)/(x-1)/(x+1)/(2*x^3-x^2-x+1) lgdogf] A088795 9.52352 [(2*x^3-x^2-x+1)/(x+1)/(x-1)^4 ogf] A088854 3.89071 [16*f(x)^2*x^4-20*x^3*f(x)^2+8*f(x)^2*x^2+16*f(x)*x^3-f(x)^2*x-20*f(x)*x^2+8*f(x)*x+4*x^2-f(x)-5*x+2 ogf] A088859 11.5335 [(x^2-6*x+3)/(2*x-1)/(x^2+x-1) ogf] A088859 11.6895 [-(-3+4*x+2*x^4-24*x^3+15*x^2)/(2*x-1)/(x^2-6*x+3)/(x^2+x-1) lgdogf] A088859 5.91214 [-(35*f(x)+1429)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)+6*x-3) ogf] A088859 6.28165 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=3,a(1)=3,a(2)=7} ogf] A088889 4.43857 [x*(x+1)*(x^4+17*x^3+48*x^2+17*x+1)/(x-1)^8 ogf] A088889 7.53436 [-(26+256*x+3*x^5+77*x^4+397*x^3+585*x^2)/(-1+x)/(x+1)/(x^4+17*x^3+48*x^2+17*x+1) lgdogf] A088890 4.43857 [x*(x+1)*(x^4+16*x^3+46*x^2+16*x+1)/(x-1)^8 ogf] A088890 7.53436 [-(25+243*x+3*x^5+73*x^4+378*x^3+558*x^2)/(-1+x)/(x+1)/(x^4+16*x^3+46*x^2+16*x+1) lgdogf] A088891 3.38866 [-x*(x^6+29*x^5+175*x^4+310*x^3+175*x^2+29*x+1)/(x-1)^9 ogf] A088891 5.25656 [-(38+582*x+3*x^6+122*x^5+1020*x^4+2560*x^3+2155*x^2)/(x-1)/(x^6+29*x^5+175*x^4+310*x^3+175*x^2+29*x+1) lgdogf] A088911 20.3768 [-1/(x-1)/(x+1)/(x^2-x+1) ogf] A088911 25.5968 [-(1+4*x^3-3*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A088911 25.9445 [x^5-x^2+1 ogf_with_Euler_transform] A088911 6.12961 [{a(n+4)-a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=0} ogf] A088911 7.61557 [(f(x)+1)*(f(x)*x^4-f(x)*x^3+f(x)*x-f(x)+1) ogf] A088914 3.15145 [-(222849360*f(x)-23514953)*(f(x)*x^4-21*f(x)*x^3+56*f(x)*x^2+x^3-21*f(x)*x+11*x^2+f(x)-11*x-1) ogf] A088914 6.18761 [-(x-1)*(x^2+12*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A088920 4.19526 [(161703*f(x)-3628)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+2*x^2-f(x)-20*x+2) ogf] A088920 4.33747 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=2,a(1)=50,a(2)=1682} ogf] A088920 7.99720 [-2*(x^2-10*x+1)/(x-1)/(x^2-34*x+1) ogf] A088920 8.21294 [-(25-68*x+318*x^2-20*x^3+x^4)/(x-1)/(x^2-10*x+1)/(x^2-34*x+1) lgdogf] A088921 6.98141 [-(2*x^4-5*x^3+7*x^2-4*x+1)/(2*x-1)/(x-1)^4 ogf] A088921 8.66172 [-(-2+8*x-17*x^2+19*x^3-8*x^4+4*x^5)/(x-1)/(2*x-1)/(2*x^4-5*x^3+7*x^2-4*x+1) lgdogf] A088924 11.8075 [-(x-1)/(10*x-1)/(9*x-1) ogf] A088924 12.9378 [-1/2*(-19*x-1+(x^2+34*x+1)^(1/2))/(1+90*x) revogf] A088924 13.2534 [-18*(1-10*x+5*x^2)/(x-1)/(9*x-1)/(10*x-1) lgdogf] A088924 6.16613 [(53*f(x)+109)*(90*f(x)*x^2-19*f(x)*x+f(x)+x-1) ogf] A088924 6.52884 [{-a(n+2)+19*a(n+1)-90*a(n),a(0)=1,a(1)=18} ogf] A088927 22.7621 [x*(x-1)*(1+x)/(-1-2*x+2*x^3) revogf] A088927 8.44432 [-2*f(x)^3*x^3+f(x)^3*x^2+2*f(x)*x-f(x)+1 ogf] A088932 12.4348 [-2*(1+2*x+x^2+4*x^3+x^4+2*x^5+x^6+8*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A088932 25.9739 [x^7+x^3+x+2 ogf_with_Euler_transform] A088932 8.12613 [-1/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A088938 3.19591 [{(-n-4)*a(n+1)+(2*n+9)*a(n+2)+(-n-6)*a(n+3)+a(n+4),a(0)=2,a(1)=3,a(2)=5,a(3)=10} ogf] A088941 15.4539 [-(-54+16*x-9*x^2+2*x^3)/(x-1)/(x^3-4*x^2+6*x-12) lgdogf] A088941 3.98169 [{(55*n^2+388*n+556)*a(n+1)+(-92*n^2-429*n-346)*a(n+2)+(37*n^2+113*n+78)*a(n+3),a(0)=0,a(1)=12,a(2)=54} ogf] A088941 8.17977 [x*(x^3-4*x^2+6*x-12)/(x-1)^5 ogf] A088942 10.8315 [-(390+170*x+25*x^2-11*x^3+2*x^4)/(x-1)/(x^4-5*x^3+10*x^2+30*x+60) lgdogf] A088942 6.43470 [x*(x^4-5*x^3+10*x^2+30*x+60)/(x-1)^6 ogf] A088943 10.9251 [-(-450-430*x+2*x^4-11*x^3+25*x^2)/(x-1)/(x^4-5*x^3+10*x^2-90*x-60) lgdogf] A088943 6.58791 [-x*(x^4-5*x^3+10*x^2-90*x-60)/(x-1)^6 ogf] A088945 5.24799 [-x*(x^5-6*x^4+15*x^3+60*x^2+270*x+60)/(x-1)^7 ogf] A088945 8.19941 [-(690+1740*x-13*x^4+36*x^3+345*x^2+2*x^5)/(x-1)/(x^5-6*x^4+15*x^3+60*x^2+270*x+60) lgdogf] A088954 19.9327 [x^15+x^7+x^3+x+2 ogf_with_Euler_transform] A088954 6.71288 [-2*(1+2*x+x^2+4*x^3+x^4+2*x^5+x^6+8*x^7+x^8+2*x^9+x^10+4*x^11+x^12+2*x^13+x^14+16*x^15)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) lgdogf] A088966 2.52723 [(8*f(x)*x^2-6*f(x)*x+f(x)+10*x-3)^2 ogf] A088981 3.51562 [{(2*n+5)*a(n+1)+2*a(n+2)+(-4*n-8)*a(n+3)+(2*n+3)*a(n+4),a(0)=7,a(1)=11,a(2)=17,a(3)=25} ogf] A088981 4.59541 [(4*f(x)-109)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*x^3+3*f(x)*x-2*x^2-f(x)-10*x+7) ogf] A088981 8.24818 [-(3*x^3-2*x^2-10*x+7)/(x^2+x-1)/(x-1)^2 ogf] A088981 8.86439 [-(-11+21*x+3*x^5-23*x^3-x^4+7*x^2)/(x-1)/(x^2+x-1)/(3*x^3-2*x^2-10*x+7) lgdogf] A088991 28.0949 [-4*x*f(x)+(1-4*x)*f(x)^2 lgdegf] A088991 5.13617 [{(-4*n-8)*a(n+1)+(-4*n-8)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=4} ogf] A088992 25.6520 [-5*x*f(x)+(1-5*x)*f(x)^2 lgdegf] A088992 4.62459 [{(-5*n-10)*a(n+1)+(-5*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=5} ogf] A089010 10.1518 [-x^23-x^19+x^9+x^5 ogf_with_Euler_transform] A089011 10.6821 [x^5+x^3-(x^2+1)*x^11 ogf_with_Euler_transform] A089012 12.9137 [-x^8-x^7+x^3+x^2 ogf_with_Euler_transform] A089012 8.53642 [x^2*(7*x^4+6*x^3+4*x+10*x^7+3)/(x^6+x^3+1)/(1+x^4) lgdogf] A089022 13.6251 [-9*f(x)^2*x+f(x)^2+f(x)-2 ogf] A089022 16.3742 [-3/2*(-3+24*x+(1-8*x)^(1/2))/(9*x-1)/(-1+8*x) lgdogf] A089022 21.0526 [1/4*(1-9*x+3*(9*x^2-2*x+1)^(1/2))*x revogf] A089022 4.80373 [{(-72*n-108)*a(n+1)+(17*n+39)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=15} ogf] A089023 2.99737 [-16*f(x)^2*x+f(x)^2+2*f(x)-3 ogf] A089041 3.36512 [{(-n^2-5*n-6)*a(n+1)+(-2*n^2-13*n-21)*a(n+2)+(-n^2-8*n-15)*a(n+3)+a(n+4),a(0)=1,a(1)=0,a(2)=3,a(3)=26} ogf] A089057 3.53923 [{(n+5)*a(n+1)-a(n+2),a(0)=3,a(1)=12,a(2)=60,a(3)=360,a(4)=2520,a(5)=13440} ogf] A089057 5.47649 [(35*x^8-120*x^7+140*x^6-56*x^5+3)/(x-1)^4 egf] A089061 10.3548 [-(x+1)*(2*x^4-2*x^3-17*x^2+22*x-7)/(x-1)/(x^2+x-1)/(2*x^3-x^2-8*x+5) lgdogf] A089061 3.94820 [{(-n-3)*a(n+1)-a(n+2)+(2*n+5)*a(n+3)+(-n-2)*a(n+4),a(0)=5,a(1)=7,a(2)=10,a(3)=13} ogf] A089061 5.20705 [(f(x)-22)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x-x^2-f(x)-8*x+5) ogf] A089061 9.33212 [-(2*x^3-x^2-8*x+5)/(x^2+x-1)/(x-1)^2 ogf] A089068 13.6847 [x^2*(x+1)/(x-1)/(x^3+x^2+x-1) ogf] A089068 16.7019 [-(-3+4*x^3+3*x^4)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A089068 7.63464 [(14*f(x)-15)*(f(x)*x^4-x^3-2*f(x)*x-x^2+f(x)) ogf] A089071 13.5364 [-(x^3-x+1)/(x-1)^3 ogf] A089071 26.9921 [-(2-2*x+3*x^2)/(x-1)/(x^3-x+1) lgdogf] A089071 6.25545 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A089071 7.18017 [-(f(x)+4)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-f(x)-x+1) ogf] A089073 4.58178 [8*f(x)^3*x^4+12*x^3*f(x)^2-2*f(x)^2*x^2-f(x)^2*x+6*f(x)*x^2-2*f(x)*x+2*x^2-f(x)+4*x+1 ogf] A089074 10.5417 [-(-3-2*x+3*x^6+4*x^5+2*x^2+5*x^4)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x-1) lgdogf] A089074 12.5752 [x*(x^2+x+1)/(x-1)/(x^4+x^3+x^2+x-1) ogf] A089076 10.0409 [x*(6*x^6+4-8*x^4+x^7-3*x^5+x^11+2*x-3*x^9+2*x^3)/(x-1)/(x+1)/(x^4-x-1)/(x^7-x^6-x^4-x^3+x^2+x+1) lgdogf] A089076 8.09756 [-(x^7-x^6-x^4-x^3+x^2+x+1)/(x-1)/(x+1)/(x^4-x-1) ogf] A089086 9.27337 [-(2*x^9+x^8+2*x^7+x^6+10*x^5+x^4+2*x^3+x^2+2*x+5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A089089 8.02949 [x*(x^3+x^2-1)/(x^4+x^2-1)/(x^2+x-1)^2 ogf] A089089 8.38047 [-(2+4*x+5*x^8+9*x^7+6*x^6-5*x^5-4*x^4-3*x^3-7*x^2)/(x^2+x-1)/(x^3+x^2-1)/(x^4+x^2-1) lgdogf] A089098 8.65844 [-(x+1)*(x-1)^2/(x^4+x^2-1)/(x^2+x-1)^2 ogf] A089098 9.30940 [-(1+4*x+5*x^7+2*x^6-7*x^5-5*x^4-3*x^3-x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^4+x^2-1) lgdogf] A089108 12.1291 [-(5+4*x+x^6-2*x^5-2*x^4-4*x^3+7*x^2)/(x-1)/(x^2+x+1)/(x^4-2*x^3-x+3) lgdogf] A089108 9.89358 [-(x^4-2*x^3-x+3)/(x^2+x+1)/(x-1)^3 ogf] A089109 7.45828 [-(x^5-2*x^4-2*x^3+6*x^2+x-5)/(x+1)^2/(x-1)^4 ogf] A089109 9.96834 [-(-9-16*x-2*x^5+x^6+12*x^3-5*x^4+11*x^2)/(x-1)/(x+1)/(x^5-2*x^4-2*x^3+6*x^2+x-5) lgdogf] A089110 5.55662 [-(x^7-4*x^6+8*x^5-12*x^4+15*x^3-13*x^2+9*x-5)/(x^2+1)^2/(x-1)^4 ogf] A089110 6.56835 [-(-11+21*x-48*x^2+56*x^3-53*x^4+43*x^5-25*x^6+13*x^7-5*x^8+x^9)/(x-1)/(x^2+1)/(x^7-4*x^6+8*x^5-12*x^4+15*x^3-13*x^2+9*x-5) lgdogf] A089111 5.06619 [-(2*x^8-8*x^7+12*x^6-7*x^5-2*x^3+9*x^2-13*x+8)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A089116 5.71381 [x*(x-1)^2*(x+1)^2/(x^6+x^3-1)/(x^2+x-1)^3 ogf] A089116 7.60779 [-(3+2*x+8*x^9+5*x^8-14*x^7-4*x^6+8*x^5-8*x^4-8*x^3+4*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^6+x^3-1) lgdogf] A089117 6.12480 [-(-3-8*x+10*x^10+16*x^9-4*x^8-31*x^7-20*x^6+5*x^5+5*x^4+15*x^3+11*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^3+x^2-1)/(x^4+x^2-1) lgdogf] A089128 12.9603 [-(x^5+2*x^4+3*x^3+2*x^2+x+6)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A089128 7.60360 [-(1+4*x+x^10+4*x^9+9*x^8+8*x^7+5*x^6+36*x^5+5*x^4+8*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4+3*x^3+2*x^2+x+6) lgdogf] A089134 10.6420 [-x*(4+x^7-2*x^5+2*x^4+3*x^3-6*x^2-x)/(x+1)/(x^3-x^2+1)/(x^5-x^3+x^2+x+1) lgdogf] A089134 9.36844 [-(x+1)*(x^3-x^2+1)/(x^5-x^3+x^2+x+1) ogf] A089135 6.81517 [-x^2*(-8*x^9-7*x^8-10*x^7-9*x^6+4*x^4+6*x^3+12*x+6-6*x^11-4*x^10+2*x^2+x^16)/(x^10-2*x^4+x^2+1)/(x^9-x^4-2*x^3-x^2-1) lgdogf] A089135 8.48457 [-(x^9-x^4-2*x^3-x^2-1)/(x^10-2*x^4+x^2+1) ogf] A089138 18.1716 [-3*(-5+72*x)/(18*x-1)/(9*x-1) lgdogf] A089138 3.38560 [{(-n-3)*a(n+3)+(69+27*n)*a(n+2)+(-378-162*n)*a(n+1),a(0)=1,a(1)=15,a(2)=207} ogf] A089143 11.6904 [1/2*ln(2*x-3)-1/2*ln((2*x+1)^(1/2)-2)+1/2*ln((2*x+1)^(1/2)+2)-ln(3) revegf] A089143 17.7138 [3*(x+1)/(2*x-1)/(x-1) ogf] A089143 22.3788 [-2*(-2+2*x+x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A089143 9.05817 [(17*f(x)+141)*(2*f(x)*x^2-3*f(x)*x+f(x)-3*x-3) ogf] A089143 9.60386 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=3,a(1)=12} ogf] A089145 12.9603 [-(2*x^5+x^4+6*x^3+x^2+2*x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A089145 7.79529 [-2*(1+x+x^10+x^9+9*x^8+2*x^7+5*x^6+9*x^5+5*x^4+2*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+x^4+6*x^3+x^2+2*x+3) lgdogf] A089146 11.0012 [(32*f(x)+111)*(f(x)*x^4+x^3+8*x^2-f(x)+x+4) ogf] A089146 12.3685 [-(1+16*x+x^6+16*x^5+3*x^4+16*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+8*x^2+x+4) lgdogf] A089146 16.5982 [-(x^3+8*x^2+x+4)/(x-1)/(x+1)/(x^2+1) ogf] A089154 11.1351 [2*(x+2)/(x-1)/(x^2+6*x-1) ogf] A089154 12.0453 [-(-15+20*x+11*x^2+2*x^3)/(x-1)/(x+2)/(x^2+6*x-1) lgdogf] A089154 5.13182 [{a(n+3)-7*a(n+2)+5*a(n+1)+a(n),a(0)=4,a(1)=30,a(2)=190} ogf] A089154 5.26928 [-(7836*f(x)+431)*(f(x)*x^3+5*f(x)*x^2-7*f(x)*x+f(x)-2*x-4) ogf] A089155 19.3054 [-(-5+18*x)/(6*x-1)/(-1+2*x) lgdegf] A089155 3.62134 [{(12*n^2+54*n+60)*a(n+1)+(-8*n-21)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=47} ogf] A089155 6.33735 [24*x^3*f(x)^2-28*f(x)^2*x^2+10*f(x)^2*x-f(x)^2+1 egf] A089156 5.40052 [{(-64*n^2-64*n-16)*a(n)+(n^2+2*n+1)*a(n+1),a(0)=0,a(1)=16} ogf] A089164 4.07508 [-f(x)^2*x^4+6*x^3*f(x)^2-f(x)^2*x^2+f(x)*x^3-8*f(x)*x^2+13*f(x)*x-2*f(x)-x+6 ogf] A089165 18.8360 [-2*(2-5*x+x^2)/(x-1)/(x^2-6*x+1) lgdogf] A089165 6.15117 [f(x)^2*x^4-8*x^3*f(x)^2+14*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-1 ogf] A089181 24.6161 [1/(7*x^2-2*x+1) ogf] A089181 29.9016 [-2*(-1+7*x)/(7*x^2+1-2*x) lgdogf] A089181 8.6008 [(19*f(x)-35)*(7*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A089181 8.70571 [{a(n+2)-2*a(n+1)+7*a(n),a(0)=1,a(1)=2} ogf] A089182 5.18646 [-2*(10000*x^8+500*x^6+5*x^2+1)/(x-1)/(10*x-1)/(10*x^2-1)/(10*x^2+1) ogf] A089183 5.90373 [(300*x^4-10*x^2+1)/(x-1)/(10*x-1)/(100*x^4+1) ogf] A089186 13.7655 [2*(4-5*x+405*x^8-765*x^9+360*x^10)/(x-1)/(90*x^10-90*x^9+10*x-9) lgdogf] A089186 13.8169 [-(90*x^10-90*x^9+10*x-9)/(x-1)^2 ogf] A089207 10.4434 [2*(x^2+8*x+3)/(x-1)^4 ogf] A089207 21.0795 [-2*(10+13*x+x^2)/(x-1)/(x^2+8*x+3) lgdogf] A089207 3.60117 [{(3*n+12)*a(n+4)+(-5+5*n)*a(n+3)+(-40-7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=6,a(1)=40,a(2)=126,a(3)=288} ogf] A089207 5.14815 [(726300*f(x)+10030339)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-16*x-6) ogf] A089252 17.3516 [-6*(4*x-1)/(-1+8*x)/(2*x-1) lgdegf] A089252 3.23868 [{(16*n^2+72*n+80)*a(n+1)+(-10*n-26)*a(n+2)+a(n+3),a(0)=1,a(1)=6,a(2)=72} ogf] A089252 5.70625 [-32*x^3*f(x)^2+36*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 egf] A089264 10.9166 [2*(-3+4*x+4*x^4-7*x^3+5*x^2)/(x-1)/(2*x-1)/(2*x^3-2*x^2+6*x-3) lgdogf] A089264 7.75613 [(2*x^3-2*x^2+6*x-3)*(x-1)^2/(2*x-1)^3 ogf] A089271 4.41508 [{a(n+3)-20*a(n+2)+108*a(n+1)-144*a(n),a(0)=1,a(1)=38,a(2)=652} ogf] A089271 4.5283 [(28750*f(x)-28889)*(144*f(x)*x^3-108*f(x)*x^2+20*f(x)*x-f(x)+18*x+1) ogf] A089271 8.10121 [-2*(19-108*x+2592*x^3-756*x^2)/(12*x-1)/(6*x-1)/(18*x+1)/(2*x-1) lgdogf] A089271 8.97983 [-(18*x+1)/(-1+12*x)/(6*x-1)/(2*x-1) ogf] A089272 3.65906 [(1553527101*f(x)+149407450)*(2880*f(x)*x^4-2304*f(x)*x^3+508*f(x)*x^2-40*f(x)*x+f(x)-8*x-1) ogf] A089272 6.50361 [-8*(-6+127*x-356*x^2-3168*x^3+8640*x^4)/(12*x-1)/(6*x-1)/(8*x+1)/(20*x-1)/(2*x-1) lgdogf] A089272 7.68403 [(8*x+1)/(-1+12*x)/(6*x-1)/(20*x-1)/(2*x-1) ogf] A089273 5.61153 [-(600*x^2+118*x+1)/(-1+12*x)/(6*x-1)/(20*x-1)/(2*x-1)/(30*x-1) ogf] A089274 5.75080 [-2*(35-1708*x+26316*x^2-144000*x^3+216000*x^4)/(12*x-1)/(6*x-1)/(20*x-1)/(2*x-1)/(30*x-1) lgdogf] A089274 7.57470 [-1/(-1+12*x)/(6*x-1)/(20*x-1)/(2*x-1)/(30*x-1) ogf] A089277 5.36512 [1/(6*x-1)/(30*x-1)/(20*x-1)/(2*x-1)/(-1+12*x)/(42*x-1) ogf] A089304 4.01183 [-(13302351077472*f(x)+8568852954995)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-135*x^3-22*f(x)*x-7*x^2+f(x)-2*x) ogf] A089304 8.36612 [x*(135*x^2+7*x+2)/(10*x-1)^2/(x-1)^2 ogf] A089304 9.06302 [-3*(-17-89*x+70*x^2+900*x^3)/(x-1)/(10*x-1)/(135*x^2+7*x+2) lgdogf] A089314 4.27962 [(24282609874614*f(x)+27127987033349)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-250*x^3-22*f(x)*x+4*x^2+f(x)-6*x) ogf] A089314 8.35557 [-4*(-16-27*x+625*x^3-15*x^2)/(x-1)/(10*x-1)/(125*x^2-2*x+3) lgdogf] A089314 8.76799 [2*x*(125*x^2-2*x+3)/(10*x-1)^2/(x-1)^2 ogf] A089324 6.31807 [x^3*f(x)^2-3*f(x)^2*x^2+f(x)^2*x+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A089343 3.93774 [-(5086376856*f(x)+7285928095)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-345*x^3-22*f(x)*x+33*x^2+f(x)-12*x) ogf] A089343 7.78174 [3*x*(115*x^2-11*x+4)/(10*x-1)^2/(x-1)^2 ogf] A089350 4.04635 [(8372367441*f(x)+13518383761)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-420*x^3-22*f(x)*x+80*x^2+f(x)-20*x) ogf] A089350 7.85185 [20*x*(21*x^2-4*x+1)/(10*x-1)^2/(x-1)^2 ogf] A089354 13.1691 [1/2*(1+4*x-x^2+((x^2-6*x+1)*(x-1)^2)^(1/2))*x revogf] A089354 7.81838 [-f(x)^3*x^2-4*f(x)^3*x+4*f(x)^2*x+f(x)-1 ogf] A089357 11.0366 [{a(n+1)-64*a(n),a(0)=1} ogf] A089357 13.9271 [-64*f(x)*x+f(x)-1 ogf] A089357 26.5881 [-1/(64*x-1) ogf] A089357 38.2738 [1/64*ln(1+64*x) revegf] A089357 44.1620 [-64/(-1+64*x) lgdogf] A089372 5.75122 [-f(x)^2*x^4+x^3*f(x)^2-2*f(x)^2*x^2+2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A089380 4.80449 [-3*f(x)^2*x^4+4*x^3*f(x)^2-2*f(x)^2*x^2-3*f(x)*x^3+5*f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A089382 3.93588 [{(2*n^2+8*n)*a(n)+(-13*n^2-61*n-60)*a(n+1)+(8*n^2+55*n+90)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=4,a(2)=20} ogf] A089382 5.4998 [-8*f(x)^2*x^4+48*x^3*f(x)^2+f(x)*x^4-8*f(x)^2*x^2-8*f(x)*x^3+12*f(x)*x^2+4*f(x)*x-f(x)+1 ogf] A089385 9.67991 [-(-x^7+x^6-x^5+x^4-2*x^3+x^2-x+1)/(x^8-1) ogf_with_Euler_transform] A089386 3.28801 [(100000*x^7-19000*x^6+4300*x^5-9760*x^4+4907*x^3-430*x^2-24*x-1)/(x-1)/(10000*x^3-1)/(10*x^3-1) ogf] A089387 4.55595 [2*x^3*f(x)^2-3*f(x)^2*x^2+f(x)*x^3+2*f(x)^2*x-f(x)*x^2+f(x)*x+x^2-f(x)-2*x+1 ogf] A089408 5.91830 [{(-4*n+4)*a(n)-2*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=1,a(2)=2} ogf] A089408 9.43931 [-f(x)^2*x-4*x^3+4*f(x)*x-4*x^2+f(x)-4*x-1 ogf] A089433 4.53168 [{(-27*n^2-243*n-546)*a(n+1)+(4*n^2+34*n+52)*a(n+2),a(0)=2,a(1)=30} ogf] A089433 8.92392 [2*hypergeom([10/3,11/3],[11/2],27/4*x) ogf] A089436 13.5018 [1/8*(5-6*x+x^2+((1-6*x+x^2)*(-3+x)^2)^(1/2))*x revogf] A089436 8.6748 [f(x)^3*x^2-6*f(x)^2*x-f(x)^2+5*f(x)-4 ogf] A089498 3.81020 [4*x/(x+1)/(x^2-6*x+1) ogf] A089499 11.4303 [-x*(x^2-4*x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A089499 6.90342 [(232*f(x)+161)*(f(x)*x^4-6*f(x)*x^2+x^3-4*x^2+f(x)-x) ogf] A089499 9.95714 [-2*(2+5*x+x^5+12*x^2-2*x^3-6*x^4)/(x^2+2*x-1)/(x^2-4*x-1)/(x^2-2*x-1) lgdogf] A089507 11.2673 [-1/288*(-30*x-1+(1+6*x)^(1/2)*(54*x+1)^(1/2))/x revogf] A089507 15.0182 [1/(24*x-1)/(6*x-1) ogf] A089507 18.2609 [-6*(-5+48*x)/(24*x-1)/(6*x-1) lgdogf] A089507 6.1438 [(341*f(x)+284)*(144*f(x)*x^2-30*f(x)*x+f(x)-1) ogf] A089507 6.28669 [{-a(n+2)+30*a(n+1)-144*a(n),a(0)=1,a(1)=30} ogf] A089508 4.83183 [-(248835*f(x)-37118)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+6*x+1) ogf] A089508 5.20997 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=14,a(2)=103} ogf] A089508 9.82207 [(x^2-6*x-1)/(x-1)/(x^2-7*x+1) ogf] A089508 9.95192 [-(-14+18*x+x^4-12*x^3+37*x^2)/(x-1)/(x^2-7*x+1)/(x^2-6*x-1) lgdogf] A089512 11.1394 [-2*(8+4*x+20*x^2-4*x^3+x^5)/(x^2-2)/(x^4-4*x^2+8*x+4) lgdegf] A089512 8.03671 [-2*(x^4-4*x^2+8*x+4)/(x^2-2)^3 egf] A089513 10.1714 [-18*(5-216*x+1440*x^2)/(6*x-1)/(24*x-1)/(60*x-1) lgdogf] A089513 11.3360 [-1/(6*x-1)/(24*x-1)/(60*x-1) ogf] A089513 4.05514 [{a(n+3)-90*a(n+2)+1944*a(n+1)-8640*a(n),a(0)=1,a(1)=90,a(2)=6156} ogf] A089513 4.26309 [(1579669*f(x)-125800)*(8640*f(x)*x^3-1944*f(x)*x^2+90*f(x)*x-f(x)+1) ogf] A089514 5.41234 [-6*(-35+4248*x+691200*x^3-120960*x^2)/(6*x-1)/(24*x-1)/(60*x-1)/(120*x-1) lgdogf] A089514 6.13697 [1/(6*x-1)/(24*x-1)/(60*x-1)/(120*x-1) ogf] A089518 4.04237 [(137786103*f(x)-60821720)*(8640*f(x)*x^3-1944*f(x)*x^2+90*f(x)*x-f(x)+48*x+1) ogf] A089518 4.07471 [{a(n+3)-90*a(n+2)+1944*a(n+1)-8640*a(n),a(0)=1,a(1)=138,a(2)=10476} ogf] A089518 7.22873 [-6*(23-648*x-11232*x^2+138240*x^3)/(6*x-1)/(24*x-1)/(48*x+1)/(60*x-1) lgdogf] A089518 8.34982 [-(48*x+1)/(6*x-1)/(24*x-1)/(60*x-1) ogf] A089519 4.64571 [(14400*x^2+672*x+1)/(6*x-1)/(24*x-1)/(60*x-1)/(120*x-1) ogf] A089574 15.2022 [-(32+2*x+3*x^3-13*x^2)/(x-1)/(x^3-4*x^2+2*x+5) lgdogf] A089574 7.43008 [(x^3-4*x^2+2*x+5)/(x-1)^6 ogf] A089590 10.3811 [x*(x+1)*(x^7+x^5+x^3+x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A089594 104.647 [-3/(x+1) lgdogf] A089594 18.4151 [-1/(x+1)^3 ogf] A089594 35.7677 [[-3+3*x] ogf_with_Euler_transform] A089594 6.74125 [{a(n+3)+3*a(n+2)+3*a(n+1)+a(n),a(0)=-1,a(1)=3,a(2)=-6} ogf] A089594 9.80546 [f(x)*x^3+3*f(x)*x^2+3*f(x)*x+f(x)+1 ogf] A089597 14.4445 [-(x^9-x^3-x^2-1)*(x^4+1) ogf_with_Euler_transform] A089598 13.6921 [(x^3+x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A089598 16.8186 [-x*(x+2)*(3*x^3-2*x^2+4*x+1)/(x-1)/(x^2+x+1)/(x^3+x^2+1) lgdogf] A089599 4.32575 [(x^10-x^9+x^5-x+1)/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^2+x+1)^3/(x+1)^3/(x-1)^6 ogf] A089640 11.2413 [-(1+2*x+3*x^6+8*x^5+3*x^2+10*x^3+12*x^4)/(x^2+x+1)/(x^5+2*x^4+x^3-1) lgdogf] A089640 11.9930 [-(x^2+x+1)/(x^5+2*x^4+x^3-1) ogf] A089640 7.56838 [f(x)*(f(x)*x^5+2*f(x)*x^4+f(x)*x^3+x^2-f(x)+x+1) ogf] A089644 13.6018 [7*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A089644 20.3438 [-(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A089644 33.0328 [-x^2+x+2 ogf_with_Euler_transform] A089644 7.27814 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=14,a(2)=28} ogf] A089644 7.34255 [(5*f(x)+301)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-7*x-7) ogf] A089649 5.44256 [-(x^28+x^25+x^22+2*x^19-2*x^18+2*x^16+2*x^13+x^10+x^7+x^4+1)/(2*x^18-1)/(x-1)^2 ogf] A089651 5.23218 [(x^20-x^16+x^5-x^4+1)/(x^4+1)/(x^8+1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A089658 13.5462 [x*(x-2)/(2*x-1)^3 ogf] A089658 32.3114 [-(-11+4*x)/(2*x-1)/(x-2) lgdogf] A089658 6.8919 [(4428*f(x)-3367)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-x^2-f(x)+2*x) ogf] A089658 6.95289 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=2,a(2)=11} ogf] A089659 11.3197 [x*(3*x+2)/(2*x-1)^4 ogf] A089659 29.2208 [-(19+18*x)/(3*x+2)/(2*x-1) lgdogf] A089659 5.06407 [{(4+2*n)*a(n+3)+(-20-n)*a(n+2)+(-18-6*n)*a(n+1),a(0)=0,a(1)=2,a(2)=19} ogf] A089659 5.34541 [-(4246340*f(x)+3209949)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x-3*x^2+f(x)-2*x) ogf] A089660 13.7701 [-(35+132*x+8*x^3+42*x^2)/(2*x-1)/(2*x^3+6*x^2+15*x+2) lgdogf] A089660 4.01951 [{(8*n^2+36*n+40)*a(n+1)+(22*n^2+204*n+392)*a(n+2)+(-13*n^2-51*n-50)*a(n+3),a(0)=0,a(1)=2,a(2)=35} ogf] A089660 7.78515 [-x*(2*x^3+6*x^2+15*x+2)/(2*x-1)^5 ogf] A089661 6.93979 [x*(24*x^3+80*x^2+43*x+2)/(2*x-1)^6 ogf] A089662 5.02568 [x*(16*x^5-64*x^4-422*x^3-506*x^2-103*x-2)/(2*x-1)^7 ogf] A089662 7.36015 [-(-131-2248*x+64*x^5-304*x^4-3632*x^3-6326*x^2)/(2*x-1)/(16*x^5-64*x^4-422*x^3-506*x^2-103*x-2) lgdogf] A089663 4.38541 [-x*(72*x^5-2096*x^4-4748*x^3-2364*x^2-227*x-2)/(2*x-1)^8 ogf] A089663 6.65762 [-(-259-7906*x+432*x^5-16408*x^4-55864*x^3-42612*x^2)/(2*x-1)/(72*x^5-2096*x^4-4748*x^3-2364*x^2-227*x-2) lgdogf] A089677 5.06627 [(8*n^2+8*n^3)*a(n)+(-20*n^2-28*n-12-4*n^3)*a(n+1)+(8*n^2+8*n+2*n^3)*a(n+2)+(-8*n^2-21*n-18-n^3)*a(n+3),a(0)=0,a(1)=1,a(2)=-1/2 revegf] A089683 10.8983 [{a(n+1)-81*a(n),a(0)=81} ogf] A089683 13.6863 [-81*f(x)*x+f(x)-81 ogf] A089683 21.7967 [-81/(81*x-1) ogf] A089683 44.4580 [-81/(-1+81*x) lgdogf] A089683 48.1628 [1/81*ln(x+1) revegf] A089693 5.57325 [{-a(n+5)+2*a(n+3),a(0)=1,a(1)=3,a(2)=10,a(3)=20,a(4)=30} ogf] A089693 6.12506 [-(230*f(x)-137)*(10*x^4+2*f(x)*x^2+14*x^3+8*x^2-f(x)+3*x+1) ogf] A089693 8.05879 [(-3-20*x+40*x^5+28*x^4-40*x^3-48*x^2)/(10*x^4+14*x^3+8*x^2+3*x+1)/(2*x^2-1) lgdogf] A089693 9.23330 [-(10*x^4+14*x^3+8*x^2+3*x+1)/(2*x^2-1) ogf] A089735 6.47291 [-f(x)^2*x^4+f(x)*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A089746 7.17781 [-(3*x^11+3*x^10+3*x^9+3*x^8+2*x^7+2*x^6+x^5+x^4+2*x^3+x^2+4*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A089772 10.5739 [(199*x-2)/(x^2+199*x-1) ogf] A089772 11.8107 [-(-199-4*x+199*x^2)/(199*x-2)/(x^2+199*x-1) lgdogf] A089772 5.1299 [-(39605*f(x)-39609)*(f(x)*x^2+199*f(x)*x-f(x)-199*x+2) ogf] A089772 6.02465 [{-a(n+2)+199*a(n+1)+a(n),a(0)=2,a(1)=199} ogf] A089775 13.7339 [-2*(161*x-1)/(x^2-322*x+1) ogf] A089775 15.7715 [-(161-2*x+161*x^2)/(161*x-1)/(x^2-322*x+1) lgdogf] A089775 16.9847 [-(-1-161*x+(1+25920*x^2)^(1/2))/(x+322) revogf] A089775 6.66297 [-(25920*f(x)-25919)*(f(x)*x^2-322*f(x)*x+f(x)+322*x-2) ogf] A089775 7.82512 [{a(n+2)-322*a(n+1)+a(n),a(0)=2,a(1)=322} ogf] A089781 7.90420 [-(x^5+x^4-x^3+2*x^2+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A089781 8.25252 [-(2+6*x+x^8+x^6+10*x^5+4*x^7+9*x^4+12*x^3+3*x^2)/(-1+x)/(x+1)/(x^2+1)/(x^5+x^4-x^3+2*x^2+1) lgdogf] A089798 11.5891 [-(-x^3-2*x)/(x^4-1) ogf_with_Euler_transform] A089798 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(1/4)*2^(7/8)/GAMMA(3/4) A089799 21.9680 [-1/(-x-1) ogf_with_Euler_transform] A089799 99.9999 Evaluated at exp(-Pi) exp(1/8*Pi)*Pi^(1/4)*2^(3/8)/GAMMA(3/4) A089800 18.3013 [x/(x^2+1) ogf_with_Euler_transform] A089800 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/4*Pi)*Pi^(1/4)*2^(3/4)/GAMMA(3/4) A089801 3.31373 [-(-x^10-x^8-x^7-x^6-x^4-1)/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A089801 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi^(3/4)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^2*GAMMA(11/12)*2^(1/2)*(3^(1/2)-1) A089802 7.11836 [-(-x^3+x-1)/(x^4-x^3+x-1) ogf_with_Euler_transform] A089803 10.1533 [-(-x^9-2*x^4)/(x^10-1) ogf_with_Euler_transform] A089804 11.8673 [-(-3*x^9-6*x^4)/(x^10-1) ogf_with_Euler_transform] A089805 7.55810 [-(-x^7+x^3-x)/(x^8-x^6+x^2-1) ogf_with_Euler_transform] A089806 6.22505 [-(-x^9-x^3-x)/(x^10+x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A089807 3.48418 [-(-x^10-x^6-x^4-x^2+x-1)/(x^11-x^10+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A089807 99.9999 Evaluated at exp(-Pi) 1/4/Pi^(1/12)*2^(1/2)*3^(1/12)*GAMMA(2/3)^(2/3)/GAMMA(3/4)^(1/3)*(2^(1/2)*(1+3^(1/2)))^(2/3)/GAMMA(11/12)^(2/3) A089810 8.23622 [-(-x^5+x^4-x^3-x+1)/(x^6-1) ogf_with_Euler_transform] A089811 7.34520 [-(x^11-x^9+x^7+x^3-x)/(-x^12+1) ogf_with_Euler_transform] A089812 7.76186 [-(-x^5-2*x^4-x^3-x^2-x-2)/(x^6-1) ogf_with_Euler_transform] A089813 6.71822 [-(x^11+2*x^9+x^7+x^5+x^3+2*x)/(-x^12+1) ogf_with_Euler_transform] A089814 17.5862 [2*x^4/(x^10-1) ogf_with_Euler_transform] A089817 16.3742 [-1/(x-1)/(x^2-5*x+1) ogf] A089817 18.5462 [-3*(2-4*x+x^2)/(x-1)/(x^2-5*x+1) lgdogf] A089817 5.36145 [{a(n+3)-6*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=30} ogf] A089817 5.99846 [(139*f(x)-4)*(f(x)*x^3-6*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A089830 12.1179 [-(-3+3*x+x^5-x^4+3*x^3-9*x^2)/(x-1)/(x^5-3*x^4+5*x^3-6*x^2+3*x-1) lgdogf] A089830 7.16357 [-(x^5-3*x^4+5*x^3-6*x^2+3*x-1)/(x-1)^6 ogf] A089835 3.67174 [{(16*n^2+48*n+36)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=2} ogf] A089835 8.44500 [hypergeom([1/2,1/2],[2],16*x) egf] A089849 7.86062 [-4*x^3*f(x)^2+f(x)^2*x+4*f(x)*x^2-4*x^3-4*x^2-f(x)+1 ogf] A089883 5.20881 [-(5*f(x)+6)*(6*f(x)*x^4-23*f(x)*x^3+22*f(x)*x^2+3*x^3-8*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A089883 7.86749 [-2*(2-16*x+9*x^6-36*x^5+72*x^4-80*x^3+50*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x^2-3*x+1)/(3*x^2-3*x+1) lgdogf] A089883 9.42861 [-(x-1)*(3*x^2-3*x+1)/(3*x-1)/(2*x-1)/(x^2-3*x+1) ogf] A089887 4.13424 [(8192*x^16+4096*x^15+512*x^11+256*x^10+128*x^9-64*x^8-64*x^7-32*x^6-16*x^5-8*x^4-4*x^3-4*x^2-2*x-1)/(256*x^9-1) ogf] A089898 8.07494 [(10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A089903 3.23446 [-(343803505563*f(x)+124504539305)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-45*x^3-22*f(x)*x-26*x^2+f(x)-x) ogf] A089903 6.62671 [x*(45*x^2+26*x+1)/(10*x-1)^2/(x-1)^2 ogf] A089903 9.21928 [-12*(5*x-2)*(15*x^2+19*x+2)/(x-1)/(10*x-1)/(45*x^2+26*x+1) lgdogf] A089904 3.0578 [(687595837743*f(x)+430187375125)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-80*x^3-22*f(x)*x-43*x^2+f(x)-3*x) ogf] A089904 6.11559 [x*(80*x^2+43*x+3)/(10*x-1)^2/(x-1)^2 ogf] A089904 7.95127 [-(-109-513*x+1600*x^3+1290*x^2)/(x-1)/(10*x-1)/(80*x^2+43*x+3) lgdogf] A089905 3.1287 [-(188637984*f(x)+149121047)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-105*x^3-22*f(x)*x-51*x^2+f(x)-6*x) ogf] A089905 6.14431 [3*x*(7*x+2)*(5*x+1)/(10*x-1)^2/(x-1)^2 ogf] A089905 8.49963 [-(-61-177*x+700*x^3+510*x^2)/(x-1)/(5*x+1)/(7*x+2)/(10*x-1) lgdogf] A089906 3.24049 [(174069891*f(x)+149139386)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-120*x^3-22*f(x)*x-50*x^2+f(x)-10*x) ogf] A089906 6.17235 [10*x*(12*x^2+5*x+1)/(10*x-1)^2/(x-1)^2 ogf] A089906 9.10675 [-3*(1+2*x)*(40*x^2+5*x-9)/(x-1)/(-1+10*x)/(12*x^2+5*x+1) lgdogf] A089907 3.196 [-(943156629*f(x)+654155785)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-120*x^3-22*f(x)*x-21*x^2+f(x)-21*x) ogf] A089907 6.23981 [3*x*(40*x^2+7*x+7)/(10*x-1)^2/(x-1)^2 ogf] A089907 8.89042 [-(-7+16*x)*(50*x^2+35*x+23)/(x-1)/(-1+10*x)/(40*x^2+7*x+7) lgdogf] A089908 3.17663 [(343778055444*f(x)+159580601285)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-105*x^3-22*f(x)*x+7*x^2+f(x)-28*x) ogf] A089908 6.31499 [7*x*(15*x^2-x+4)/(10*x-1)^2/(x-1)^2 ogf] A089908 9.04639 [-3*(-29+47*x+100*x^3-10*x^2)/(x-1)/(-1+10*x)/(15*x^2-x+4) lgdogf] A089909 3.29361 [(4297205682*f(x)+585967405)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-80*x^3-22*f(x)*x+44*x^2+f(x)-36*x) ogf] A089909 6.34912 [4*x*(20*x^2-11*x+9)/(10*x-1)^2/(x-1)^2 ogf] A089909 8.49963 [-(-187+441*x+400*x^3-330*x^2)/(x-1)/(-1+10*x)/(20*x^2-11*x+9) lgdogf] A089914 20.7166 [-(-5+6*x)/(-1+3*x)^2 lgdegf] A089914 5.24352 [{(-9*n^2-33*n-30)*a(n+1)+(6*n+17)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=49} ogf] A089915 10.7467 [-455+780*x+(9-424*x+1040*x^2)*f(x)+(8-64*x+128*x^2)*f(x)^2 lgdegf] A089915 4.31727 [{(-16*n^2-60*n-56)*a(n+1)+(8*n+23)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=93} ogf] A089916 16.9287 [-(-9+20*x)/(5*x-1)^2 lgdegf] A089916 4.48750 [{(-25*n^2-95*n-90)*a(n+1)+(10*n+29)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=151} ogf] A089917 24.1145 [-(-11+30*x)/(6*x-1)^2 lgdegf] A089917 3.40288 [{(-36*n^2-138*n-132)*a(n+1)+(12*n+35)*a(n+2)-a(n+3),a(0)=1,a(1)=11,a(2)=223} ogf] A089926 12.0013 [(6*x-1)/(x^2+12*x-1) ogf] A089926 15.0139 [-2*(-3-x+3*x^2)/(6*x-1)/(x^2+12*x-1) lgdogf] A089926 6.00066 [-(37*f(x)-19)*(f(x)*x^2+12*f(x)*x-f(x)-6*x+1) ogf] A089926 6.65134 [{-a(n+2)+12*a(n+1)+a(n),a(0)=1,a(1)=6} ogf] A089927 14.3243 [-(5-15*x^2+4*x^3)/(x-1)/(x+1)/(x^2-5*x+1) lgdogf] A089927 16.2071 [-1/(x-1)/(x+1)/(x^2-5*x+1) ogf] A089927 4.72175 [{a(n+4)-5*a(n+3)+5*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=120} ogf] A089927 5.76598 [(12673*f(x)-98)*(f(x)*x^4-5*f(x)*x^3+5*f(x)*x-f(x)+1) ogf] A089928 18.5276 [-2*(1+2*x^3+3*x^2)/(x^2+1)/(x^2+2*x-1) lgdogf] A089928 19.3960 [-1/(x^2+1)/(x^2+2*x-1) ogf] A089928 5.74122 [{a(n+4)-2*a(n+3)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A089928 6.90051 [-(29*f(x)-3)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A089931 17.0514 [-1/(x^2+1)/(x^2+3*x-1) ogf] A089931 17.1674 [-(3+9*x^2+4*x^3)/(x^2+1)/(x^2+3*x-1) lgdogf] A089931 5.04720 [{a(n+4)-3*a(n+3)-3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=30} ogf] A089931 5.89626 [-(1199*f(x)-38)*(f(x)*x^4+3*f(x)*x^3+3*f(x)*x-f(x)+1) ogf] A089932 6.64900 [-(x-1)^5/(2*x-1)/(x^2-3*x+1)/(x^3-3*x^2+4*x-1) ogf] A089932 8.63737 [-(4-24*x+2*x^6-12*x^5+31*x^4-44*x^3+48*x^2)/(x-1)/(2*x-1)/(x^2-3*x+1)/(x^3-3*x^2+4*x-1) lgdogf] A089936 3.73926 [-(x^8-3*x^7-23*x^6+49*x^5+68*x^4-129*x^3-37*x^2+47*x+13)/(x^9-4*x^8-20*x^7+64*x^6+15*x^5-105*x^4+36*x^2+4*x-1) ogf] A089941 4.60938 [2*f(x)^2*x^4+3*x^3*f(x)^2+2*f(x)*x^3-3*f(x)^2*x+f(x)*x^2+f(x)^2+f(x)*x+x^2-f(x) ogf] A089947 3.69514 [-(x-1)^9/(2*x-1)/(x^2-3*x+1)/(x^3-3*x^2+4*x-1)/(x^4-4*x^3+6*x^2-5*x+1) ogf] A089950 11.7431 [-(-23+61*x-25*x^2+3*x^3)/(-1+x)/(x-3)/(x^2-6*x+1) lgdogf] A089950 5.15766 [-(1292000*f(x)+227)*(f(x)*x^4-8*f(x)*x^3+14*f(x)*x^2-8*f(x)*x+x^2+f(x)-3*x) ogf] A089950 8.85679 [-x*(x-3)/(x^2-6*x+1)/(x-1)^2 ogf] A089951 12.2612 [2*(5-4*x-440*x^6+240*x^5+200*x^7)/(x-1)/(80*x^7-80*x^6+8*x^2-8*x-1) lgdogf] A089958 9.97092 [-(x^5+x^4+x^3+x^2+x)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A089963 26.2875 [-(-Ei(1,-1)+Ei(1,-1-x))/exp(1) revegf] A089977 12.0896 [-4*f(x)*x^3-f(x)*x+f(x)-1 ogf] A089977 22.5581 [-(1+12*x^2)/(2*x-1)/(2*x^2+x+1) lgdogf] A089977 24.5961 [-1/(2*x-1)/(2*x^2+x+1) ogf] A089977 7.58817 [{-a(n+3)+a(n+2)+4*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A089978 19.0207 [-1/(3*x^3+3*x-1) ogf] A089978 22.7706 [-3*(1+3*x^2)/(-1+3*x+3*x^3) lgdogf] A089978 6.67747 [{-a(n+3)+3*a(n+2)+3*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A089978 7.74915 [(f(x)-1)*(3*f(x)*x^3+3*f(x)*x-f(x)+1) ogf] A089979 18.5279 [-1/(4*x^3+4*x-1) ogf] A089979 22.1807 [-4*(1+3*x^2)/(-1+4*x+4*x^3) lgdogf] A089979 6.43601 [{-a(n+3)+4*a(n+2)+4*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A089979 7.54841 [(f(x)-1)*(4*f(x)*x^3+4*f(x)*x-f(x)+1) ogf] A089985 11.5335 [-(2*x^3-x^2+3*x-2)/(2*x-1)/(x-1) ogf] A089985 11.6895 [(-3+6*x+4*x^4-12*x^3+3*x^2)/(x-1)/(2*x-1)/(2*x^3-x^2+3*x-2) lgdogf] A089985 6.11778 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=2,a(1)=3,a(2)=6,a(3)=10} ogf] A089985 6.63721 [-(2*f(x)+23)*(2*f(x)*x^2+2*x^3-3*f(x)*x-x^2+f(x)+3*x-2) ogf] A090010 25.8205 [-(43+12*x+x^2)/(x+6)/(x-1) lgdegf] A090012 4.27489 [{(-n-2)*a(n+1)+(-n-5)*a(n+2)+a(n+3),a(0)=3,a(1)=9,a(2)=39} ogf] A090012 47.1110 [-(x+3)/(x-1) lgdegf] A090013 3.93175 [{(n+2)*a(n+1)+(n+6)*a(n+2)-a(n+3),a(0)=4,a(1)=16,a(2)=84} ogf] A090013 43.5964 [-(x+4)/(x-1) lgdegf] A090014 3.59839 [{(-n-2)*a(n+1)+(-n-7)*a(n+2)+a(n+3),a(0)=5,a(1)=25,a(2)=155} ogf] A090014 40.1371 [-(x+5)/(x-1) lgdegf] A090015 3.76382 [{(-n-2)*a(n+1)+(-n-8)*a(n+2)+a(n+3),a(0)=6,a(1)=36,a(2)=258} ogf] A090015 42.0259 [-(x+6)/(x-1) lgdegf] A090016 3.86723 [{(-n-2)*a(n+1)+(-n-9)*a(n+2)+a(n+3),a(0)=7,a(1)=49,a(2)=399} ogf] A090016 43.2065 [-(x+7)/(x-1) lgdegf] A090017 10.8808 [-2*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A090017 17.3504 [-x/(2*x^2+4*x-1) ogf] A090017 18.0695 [1/4/x*(-1-4*x+(1+8*x+24*x^2)^(1/2)) revogf] A090017 28.7469 [-4*(x+1)/(2*x^2-1+4*x) lgdogf] A090017 7.92551 [{-a(n+2)+4*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A090018 15.2283 [1/6/x*(-1-6*x+(1+12*x+48*x^2)^(1/2)) revogf] A090018 16.9758 [-1/(3*x^2+6*x-1) ogf] A090018 24.9190 [-6*(1+x)/(3*x^2-1+6*x) lgdogf] A090018 6.66907 [(181*f(x)-37)*(3*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A090018 6.83173 [{-a(n+2)+6*a(n+1)+3*a(n),a(0)=1,a(1)=6} ogf] A090019 12.4179 [-10*f(x)*x+f(x)+4*x-1 ogf] A090019 15.0321 [(4*x-1)/(10*x-1) ogf] A090019 15.9841 [1/8+5/4*x-1/8*(1+4*x+100*x^2)^(1/2) revogf] A090019 29.4444 [6/(10*x-1)/(-1+4*x) lgdogf] A090019 7.82495 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=6} ogf] A090020 4.21506 [(107*f(x)-1317)*(30*f(x)*x^4-61*f(x)*x^3+41*f(x)*x^2+11*x^3-11*f(x)*x-2*x^2+f(x)-x) ogf] A090020 6.66831 [-(13-104*x+222*x^2+124*x^3-851*x^4+660*x^5)/(x-1)/(3*x-1)/(5*x-1)/(-1+2*x)/(11*x^2-2*x-1) lgdogf] A090020 7.72760 [-x*(11*x^2-2*x-1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A090021 4.07308 [(66030*f(x)-4913659)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+30*x^3-12*f(x)*x-9*x^2+f(x)-x) ogf] A090021 6.45306 [-(21-154*x-3132*x^4+1152*x^3+2160*x^5+153*x^2)/(x-1)/(6*x-1)/(-1+3*x)/(2*x-1)/(30*x^2-9*x-1) lgdogf] A090021 7.72840 [-x*(30*x^2-9*x-1)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A090022 3.93317 [(1005*f(x)-32449)*(84*f(x)*x^4-145*f(x)*x^3+75*f(x)*x^2+47*x^3-15*f(x)*x-10*x^2+f(x)-x) ogf] A090022 6.05520 [-(25-244*x+390*x^2+2564*x^3-9335*x^4+7896*x^5)/(x-1)/(-1+3*x)/(7*x-1)/(-1+4*x)/(47*x^2-10*x-1) lgdogf] A090022 7.22720 [-x*(47*x^2-10*x-1)/(x-1)/(3*x-1)/(7*x-1)/(4*x-1) ogf] A090023 5.93329 [-x*(200*x^3-136*x^2+19*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1) ogf] A090024 5.51725 [-x*(291*x^3-189*x^2+25*x+1)/(x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(5*x-1) ogf] A090037 3.28603 [(f(x)-1)^2 ogf] A090040 12.9061 [-(3*x-1)/(6*x-1)/(2*x-1) ogf] A090040 13.8453 [-1/6*(-1-8*x+(4*x+1+16*x^2)^(1/2))/(1+4*x) revogf] A090040 14.1830 [-(5-24*x+36*x^2)/(6*x-1)/(-1+3*x)/(2*x-1) lgdogf] A090040 6.52398 [-(16*f(x)+9)*(12*f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A090040 7.15278 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=1,a(1)=5} ogf] A090041 12.4291 [-(4*x-1)/(20*x^2-10*x+1) ogf] A090041 13.3066 [-1/8*(-1-10*x+(1+4*x+20*x^2)^(1/2))/(1+5*x) revogf] A090041 13.3066 [-2*(3-20*x+40*x^2)/(-1+4*x)/(20*x^2-10*x+1) lgdogf] A090041 6.28137 [-(55*f(x)+26)*(20*f(x)*x^2-10*f(x)*x+f(x)+4*x-1) ogf] A090041 6.95437 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=1,a(1)=6} ogf] A090042 13.3599 [(x-1)/(11*x^2+2*x-1) ogf] A090042 15.8425 [-(-1-22*x+11*x^2)/(x-1)/(11*x^2+2*x-1) lgdogf] A090042 15.8425 [1/2/(11*x-1)*(-2*x-1+(48*x^2+1)^(1/2)) revogf] A090042 7.40429 [{-a(n+2)+2*a(n+1)+11*a(n),a(0)=1,a(1)=1} ogf] A090042 8.90546 [(180*f(x)-179)*(11*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A090097 6.18926 [(x^6+7*x^5+2*x^4+7*x^3+9*x^2+2*x+8)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A090107 7.74696 [-(2*x^66+4*x^65+244*x^2-14*x+1)/(6*x^66-4*x^65-244*x^4+502*x^3-273*x^2+16*x-1) ogf] A090107 9.19841 [2*(-578-145433*x^2+8228*x+39304*x^65+39304*x^66)/(-153661*x^2-578+8806*x+39304*x^65+145433*x^3) lgdogf] A090108 11.0046 [-(34*x^69+68*x^68+1)/(102*x^69-68*x^68-x^2+2*x-1) ogf] A090108 20.5877 [2*(-1+1207*x^68+1207*x^69)/(-1+x+1207*x^68) lgdogf] A090109 6.99517 [-(1125*x^67+2250*x^66+332*x^2+195*x+75)/(3375*x^67-2250*x^66-332*x^4+469*x^3-17*x^2-45*x-75) ogf] A090109 8.04792 [2*(-47610-211898*x^2-124200*x+24638175*x^66+24638175*x^67)/(-87698*x^2-47610-76590*x+24638175*x^66+211898*x^3) lgdogf] A090129 14.2684 [(2*x^2-1)/(2*x-1) ogf] A090129 17.3152 [2*(1-2*x+2*x^2)/(2*x-1)/(2*x^2-1) lgdogf] A090129 6.96436 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=2} ogf] A090129 7.80008 [-(f(x)-1)*(2*f(x)*x-2*x^2-f(x)+1) ogf] A090131 10.5380 [{-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=3} ogf] A090131 19.2025 [(x+1)/(2*x^2-2*x+1) ogf] A090131 22.1149 [-1/2*(-1-2*x+(1+8*x-4*x^2)^(1/2))/(-1+2*x) revogf] A090131 26.5379 [-(-3+4*x+2*x^2)/(x+1)/(2*x^2-2*x+1) lgdogf] A090131 9.70913 [-(f(x)-4)*(2*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A090132 11.7338 [2*f(x)*x^2+2*f(x)*x+f(x)-2*x-1 ogf] A090132 16.4273 [(2*x+1)/(2*x^2+2*x+1) ogf] A090132 21.4226 [-1/4*(-1+2*x+(4*x+1-4*x^2)^(1/2))/(x-1) revogf] A090132 26.1088 [-4*x*(x+1)/(2*x+1)/(2*x^2+2*x+1) lgdogf] A090132 9.12628 [{-a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=0} ogf] A090133 10.9054 [5*f(x)*x^2+4*f(x)*x+f(x)-4*x-1 ogf] A090133 15.2676 [(4*x+1)/(5*x^2+4*x+1) ogf] A090133 17.0870 [-1/2*(-1+4*x+(1+8*x-4*x^2)^(1/2))/(-4+5*x) revogf] A090133 20.5044 [-10*x*(2*x+1)/(4*x+1)/(5*x^2+4*x+1) lgdogf] A090133 8.48200 [{-a(n+2)-4*a(n+1)-5*a(n),a(0)=1,a(1)=0} ogf] A090139 12.3016 [-(5*x-1)/(20*x^2-10*x+1) ogf] A090139 13.8096 [-5*(1-8*x+20*x^2)/(5*x-1)/(20*x^2-10*x+1) lgdogf] A090139 6.28453 [-(16*f(x)+9)*(20*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A090139 6.88305 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=1,a(1)=5} ogf] A090168 11.1878 [-(2+6*x+5*x^5+2*x^6+18*x^3+13*x^4+14*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^3+x^2+2*x+1) lgdogf] A090168 11.6455 [x*(x^3+x^2+2*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A090169 10.1659 [-(4+40*x^3+16*x+21*x^5+37*x^4+6*x^6+32*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^3+5*x^2+4*x+1) lgdogf] A090169 11.3847 [x*(3*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A090176 8.88530 [-(x^6-x^3+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A090192 12.5989 [f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A090192 18.4654 [-1/2*(-2*x-1+(1+4*x^2)^(1/2))/x/(1+4*x^2)^(1/2) lgdogf] A090192 57.8584 [x*(1+x)/(2*x+1) revogf] A090197 10.6767 [-(5*x^2-10*x-1)/(x-1)^4 ogf] A090197 18.7875 [-2*(-7-10*x+5*x^2)/(x-1)/(5*x^2-10*x-1) lgdogf] A090197 5.53605 [(492*f(x)+9053)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+5*x^2+f(x)-10*x-1) ogf] A090198 11.2110 [-2*(21+71*x-24*x^2-9*x^3+x^4)/(x-1)/(2*x^4-13*x^3-3*x^2+37*x+1) lgdogf] A090198 7.42558 [-(2*x^4-13*x^3-3*x^2+37*x+1)/(x-1)^5 ogf] A090199 6.34023 [(21*x^4-154*x^3+126*x^2+126*x+1)/(x-1)^6 ogf] A090199 9.72249 [-6*(22+147*x+7*x^4-63*x^3+7*x^2)/(x-1)/(21*x^4-154*x^3+126*x^2+126*x+1) lgdogf] A090200 4.38983 [(5*x^6-86*x^5+173*x^4+908*x^3-1297*x^2-422*x-1)/(x-1)^7 ogf] A090200 5.58386 [-(-429-5126*x+5*x^6-3761*x^2+4324*x^3+89*x^4-142*x^5)/(x-1)/(5*x^6-86*x^5+173*x^4+908*x^3-1297*x^2-422*x-1) lgdogf] A090220 7.67291 [1/108*(x^11+x^10+54*x^4-324*x^2-648*x-648)/(x^3-6) egf] A090223 10.9176 [-(2+4*x+3*x^7+5*x^6+7*x^5+9*x^4+4*x^3+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A090223 11.7384 [x^2*(x+1)*(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A090223 31.0689 [x^4-x^3+2 ogf_with_Euler_transform] A090244 6.54155 [(10*f(x)+39)*(f(x)*x^4+f(x)*x^2-x^3+2*x^2-f(x)+2*x+1) ogf] A090247 11.6213 [-2*(13*x-1)/(x^2-26*x+1) ogf] A090247 14.0818 [-(13-2*x+13*x^2)/(13*x-1)/(x^2-26*x+1) lgdogf] A090247 5.74947 [-(168*f(x)-167)*(f(x)*x^2-26*f(x)*x+f(x)+26*x-2) ogf] A090247 6.50238 [{a(n+2)-26*a(n+1)+a(n),a(0)=2,a(1)=26} ogf] A090248 11.7983 [-(27*x-2)/(x^2-27*x+1) ogf] A090248 14.3007 [-(27-4*x+27*x^2)/(27*x-2)/(x^2-27*x+1) lgdogf] A090248 6.60140 [{a(n+2)-27*a(n+1)+a(n),a(0)=2,a(1)=27} ogf] A090248 6.68042 [-(725*f(x)-721)*(f(x)*x^2-27*f(x)*x+f(x)+27*x-2) ogf] A090249 11.8573 [-2*(14*x-1)/(x^2-28*x+1) ogf] A090249 15.1722 [-2*(7-x+7*x^2)/(14*x-1)/(x^2-28*x+1) lgdogf] A090249 5.51773 [-(152685*f(x)-228538)*(f(x)*x^2-28*f(x)*x+f(x)+28*x-2) ogf] A090249 6.63442 [{a(n+2)-28*a(n+1)+a(n),a(0)=2,a(1)=28} ogf] A090251 11.9752 [-(29*x-2)/(x^2-29*x+1) ogf] A090251 14.5196 [-(29-4*x+29*x^2)/(29*x-2)/(x^2-29*x+1) lgdogf] A090251 5.92458 [-(837*f(x)-833)*(f(x)*x^2-29*f(x)*x+f(x)+29*x-2) ogf] A090251 6.70043 [{a(n+2)-29*a(n+1)+a(n),a(0)=2,a(1)=29} ogf] A090277 5.04710 [-(x^18+x^17+x^15+x^13+x^12-2*x^11+4*x^9-x^7+x^6-x^5+2*x^3+x+1)/(x-1)/(x^2+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1) ogf] A090281 11.6056 [-(2+2*x-x^4-2*x^3+x^8+2*x^7+2*x^6+2*x^5+2*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A090281 11.9951 [-(x^4+x^3+x^2+x+1)/(x-1)/(x^4+1) ogf] A090281 24.9075 [x^7-x^4-x^3+2 ogf_with_Euler_transform] A090288 13.2546 [2*(x^2-2*x-1)/(x-1)^3 ogf] A090288 25.5849 [-(-5-2*x+x^2)/(x-1)/(x^2-2*x-1) lgdogf] A090288 6.85196 [-(22*f(x)-161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+4*x+2) ogf] A090288 7.09239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=10,a(2)=22} ogf] A090294 14.9473 [-(x+1)*(5*x^2-24*x+35)/(x-1)/(5*x^3-17*x^2+15*x+5) lgdogf] A090294 4.14141 [{(-2*n^2-25*n-42)*a(n+1)+(-8*n^2-66*n-135)*a(n+2)+(10*n^2+55*n+75)*a(n+3),a(0)=5,a(1)=35,a(2)=93} ogf] A090294 5.44301 [(5*f(x)+53)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x+17*x^2+f(x)-15*x-5) ogf] A090294 9.64582 [(5*x^3-17*x^2+15*x+5)/(x-1)^4 ogf] A090296 10.8123 [-(-63-8*x+7*x^4-36*x^3+60*x^2)/(x-1)/(7*x^4-32*x^3+52*x^2-28*x-7) lgdogf] A090296 7.09688 [2*(7*x^4-32*x^3+52*x^2-28*x-7)/(x-1)^5 ogf] A090297 5.54776 [2*(21*x^5-119*x^4+266*x^3-278*x^2+105*x+21)/(x-1)^6 ogf] A090297 7.37065 [-(231-31*x-133*x^4+322*x^3+21*x^5-314*x^2)/(x-1)/(21*x^5-119*x^4+266*x^3-278*x^2+105*x+21) lgdogf] A090300 11.2123 [2*(7*x-1)/(x^2+14*x-1) ogf] A090300 13.9363 [-(-7-2*x+7*x^2)/(-1+7*x)/(x^2+14*x-1) lgdogf] A090300 5.66643 [-(50*f(x)-51)*(f(x)*x^2+14*f(x)*x-f(x)-14*x+2) ogf] A090300 6.27354 [{-a(n+2)+14*a(n+1)+a(n),a(0)=2,a(1)=14} ogf] A090301 11.3931 [(15*x-2)/(x^2+15*x-1) ogf] A090301 13.4396 [-(-15-4*x+15*x^2)/(15*x-2)/(x^2+15*x-1) lgdogf] A090301 5.6366 [-(229*f(x)-233)*(f(x)*x^2+15*f(x)*x-f(x)-15*x+2) ogf] A090301 6.37473 [{-a(n+2)+15*a(n+1)+a(n),a(0)=2,a(1)=15} ogf] A090305 11.6945 [2*(8*x-1)/(x^2+16*x-1) ogf] A090305 14.9531 [-2*(-4-x+4*x^2)/(8*x-1)/(x^2+16*x-1) lgdogf] A090305 5.78572 [(16705*f(x)-25218)*(f(x)*x^2+16*f(x)*x-f(x)-16*x+2) ogf] A090305 6.54337 [{-a(n+2)+16*a(n+1)+a(n),a(0)=2,a(1)=16} ogf] A090306 11.8754 [(17*x-2)/(x^2+17*x-1) ogf] A090306 14.0208 [-(-17-4*x+17*x^2)/(17*x-2)/(x^2+17*x-1) lgdogf] A090306 5.87519 [-(293*f(x)-297)*(f(x)*x^2+17*f(x)*x-f(x)-17*x+2) ogf] A090306 6.64455 [{-a(n+2)+17*a(n+1)+a(n),a(0)=2,a(1)=17} ogf] A090307 10.5594 [2*(9*x-1)/(x^2+18*x-1) ogf] A090307 13.4779 [-(-9-2*x+9*x^2)/(9*x-1)/(x^2+18*x-1) lgdogf] A090307 5.33649 [-(82*f(x)-83)*(f(x)*x^2+18*f(x)*x-f(x)-18*x+2) ogf] A090307 5.90826 [{-a(n+2)+18*a(n+1)+a(n),a(0)=2,a(1)=18} ogf] A090308 10.6774 [(19*x-2)/(x^2+19*x-1) ogf] A090308 12.5833 [-(-19-4*x+19*x^2)/(19*x-2)/(x^2+19*x-1) lgdogf] A090308 5.28251 [-(365*f(x)-369)*(f(x)*x^2+19*f(x)*x-f(x)-19*x+2) ogf] A090308 5.97427 [{-a(n+2)+19*a(n+1)+a(n),a(0)=2,a(1)=19} ogf] A090309 10.8544 [2*(10*x-1)/(x^2+20*x-1) ogf] A090309 13.1333 [-2*(-5-x+5*x^2)/(-1+10*x)/(x^2+20*x-1) lgdogf] A090309 5.37007 [-(101*f(x)-102)*(f(x)*x^2+20*f(x)*x-f(x)-20*x+2) ogf] A090309 6.07330 [{-a(n+2)+20*a(n+1)+a(n),a(0)=2,a(1)=20} ogf] A090310 10.9134 [(21*x-2)/(x^2+21*x-1) ogf] A090310 12.8677 [-(-21-4*x+21*x^2)/(21*x-2)/(x^2+21*x-1) lgdogf] A090310 5.39925 [-(445*f(x)-449)*(f(x)*x^2+21*f(x)*x-f(x)-21*x+2) ogf] A090310 6.10630 [{-a(n+2)+21*a(n+1)+a(n),a(0)=2,a(1)=21} ogf] A090313 11.2083 [2*(11*x-1)/(x^2+22*x-1) ogf] A090313 13.2231 [-(-11-2*x+11*x^2)/(11*x-1)/(x^2+22*x-1) lgdogf] A090313 5.54518 [-(122*f(x)-123)*(f(x)*x^2+22*f(x)*x-f(x)-22*x+2) ogf] A090313 6.27133 [{-a(n+2)+22*a(n+1)+a(n),a(0)=2,a(1)=22} ogf] A090314 11.2673 [(23*x-2)/(x^2+23*x-1) ogf] A090314 13.2942 [-(-23-4*x+23*x^2)/(23*x-2)/(x^2+23*x-1) lgdogf] A090314 6.30435 [{-a(n+2)+23*a(n+1)+a(n),a(0)=2,a(1)=23} ogf] A090314 8.21344 [-(533*f(x)-537)*(f(x)*x^2+23*f(x)*x-f(x)-23*x+2) ogf] A090316 11.3853 [2*(-1+12*x)/(x^2+24*x-1) ogf] A090316 14.1627 [-2*(-6-x+6*x^2)/(12*x-1)/(x^2+24*x-1) lgdogf] A090316 6.37036 [{-a(n+2)+24*a(n+1)+a(n),a(0)=2,a(1)=24} ogf] A090316 7.28615 [(83665*f(x)-125858)*(f(x)*x^2+24*f(x)*x-f(x)-24*x+2) ogf] A090317 10.4979 [9*f(x)^2*x^2-2*f(x)^2*x-4*f(x)*x+f(x)+4*x-1 ogf] A090317 15.5027 [1/8+1/2*x-9/8*x^2-1/8*((9*x^2-2*x+1)*(-1+3*x)^2)^(1/2) revogf] A090326 10.3517 [(4*x^2-3*x+1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A090326 3.60280 [{(-12*n-30)*a(n+1)+(22*n+43)*a(n+2)+(-12*n-20)*a(n+3)+(2*n+3)*a(n+4),a(0)=1,a(1)=4,a(2)=15,a(3)=54} ogf] A090326 5.4042 [(4208*f(x)+843)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A090326 9.17621 [-2*(3*x-2)*(8*x^3-7*x^2+4*x-1)/(x-1)/(-1+3*x)/(2*x-1)/(4*x^2-3*x+1) lgdogf] A090327 10.6630 [-(2*x^3-2*x^2-2*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A090327 5.52899 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1),a(0)=1,a(1)=4,a(2)=11,a(3)=30} ogf] A090327 6.16871 [(9*f(x)-26)*(6*f(x)*x^3-11*f(x)*x^2+2*x^3+6*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A090327 8.45345 [-2*(2-13*x+29*x^2-24*x^3+5*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(2*x^3-2*x^2-2*x+1) lgdogf] A090328 12.5094 [(x^2+x-1)/(3*x-1)/(x-1)^2 ogf] A090328 14.2632 [-(4-12*x+3*x^3+9*x^2)/(x-1)/(3*x-1)/(x^2+x-1) lgdogf] A090328 6.57823 [-(7*f(x)+25)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-x^2-f(x)-x+1) ogf] A090328 6.75287 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=12} ogf] A090337 10.1673 [{a(n+2)-99*a(n),a(0)=1,a(1)=11} ogf] A090337 15.6057 [-(11*x+1)/(99*x^2-1) ogf] A090337 16.4765 [1/22*(-1+(1+44*x+396*x^2)^(1/2))/(1+9*x) revogf] A090337 16.8990 [-11*(1+18*x+99*x^2)/(11*x+1)/(99*x^2-1) lgdogf] A090337 8.82953 [-(180*f(x)-59)*(99*f(x)*x^2-f(x)+11*x+1) ogf] A090344 15.4132 [-1/2*(-1-x-x^2+(1+2*x+3*x^2-2*x^3+x^4)^(1/2))/x^2 revogf] A090344 3.88501 [{(4*n+10)*a(n+1)+(-3*n-8)*a(n+2)+(-2*n-10)*a(n+3)+(n+6)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=3} ogf] A090344 9.99002 [-x^3*f(x)^2+f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A090345 12.5382 [-f(x)^2*x^2-f(x)*x+f(x)+x-1 ogf] A090345 13.3193 [1/2+1/2*x+1/2*x^2-1/2*(x^4+2*x^3+3*x^2-2*x+1)^(1/2) revogf] A090345 3.53683 [{(-4*n-6)*a(n+1)+(3*n+9)*a(n+2)+(2*n+9)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A090374 4.40873 [{(-1024*n^3-7680*n^2-19136*n-15840)*a(n+1)+(27*n^3+270*n^2+897*n+990)*a(n+2),a(0)=1,a(1)=10} ogf] A090374 7.62462 [-1/4*(-27-1520*x+2880*x^2+(-(8*x-27)^2*(-1+24*x)^3)^(1/2))/(5+8*x)^4 revogf] A090381 15.7510 [-(7*x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A090381 8.28285 [(724*f(x)-6771)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+7*x^2-f(x)+4*x+1) ogf] A090386 12.4448 [-(-64+132*x-99*x^2+26*x^3)/(x-1)/(13*x^3-46*x^2+56*x-24) lgdogf] A090386 3.74466 [{(19*n^2+173*n+270)*a(n+1)+(-35*n^2-245*n-306)*a(n+2)+(16*n^2+84*n+104)*a(n+3),a(0)=0,a(1)=24,a(2)=64} ogf] A090386 7.44989 [x*(13*x^3-46*x^2+56*x-24)/(x-1)^5 ogf] A090390 13.5087 [-(x^2+4*x-1)/(x+1)/(x^2-6*x+1) ogf] A090390 15.9051 [-(x^2+10*x+1)*(x-1)^2/(x+1)/(x^2-6*x+1)/(x^2+4*x-1) lgdogf] A090390 6.98332 [-(119*f(x)-47)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+x^2+f(x)+4*x-1) ogf] A090390 7.35744 [{-a(n+3)+5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=9} ogf] A090391 5.85740 [x*(71*x^4-316*x^3+534*x^2-408*x+120)/(x-1)^6 ogf] A090391 8.65162 [-2*(156-486*x+594*x^2-332*x^3+71*x^4)/(x-1)/(71*x^4-316*x^3+534*x^2-408*x+120) lgdogf] A090392 4.99268 [x*(461*x^5-2482*x^4+5376*x^3-5864*x^2+3228*x-720)/(x-1)^7 ogf] A090392 6.54402 [-(-1812+7640*x+922*x^5-13192*x^2+11576*x^3-5141*x^4)/(x-1)/(461*x^5-2482*x^4+5376*x^3-5864*x^2+3228*x-720) lgdogf] A090393 4.04624 [x*(3447*x^6-21824*x^5+57742*x^4-81760*x^3+65388*x^2-28032*x+5040)/(x-1)^8 ogf] A090399 23.3136 [1/(2*x^4-2*x+1) ogf] A090399 30.5297 [-2*(-1+4*x^3)/(1-2*x+2*x^4) lgdogf] A090399 9.05115 [-(f(x)-1)*(2*f(x)*x^4-2*f(x)*x+f(x)-1) ogf] A090400 20.5991 [1/(3*x^3-3*x+1) ogf] A090400 24.6830 [-3*(-1+3*x^2)/(1-3*x+3*x^3) lgdogf] A090400 7.23159 [{-a(n+3)+3*a(n+2)-3*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A090400 7.99729 [-(f(x)-1)*(3*f(x)*x^3-3*f(x)*x+f(x)-1) ogf] A090401 11.4034 [a(n+4)-3*a(n+3)+3*a(n),a(0)=3,a(1)=9,a(2)=27,a(3)=69 lgdogf] A090401 19.0549 [1/(3*x^4-3*x+1) ogf] A090401 7.3978 [-(f(x)-1)*(3*f(x)*x^4-3*f(x)*x+f(x)-1) ogf] A090407 11.2726 [(6*x-1)/(4*x+1)/(16*x-1) ogf] A090407 11.7836 [-2*(24*x+1)*(8*x-3)/(6*x-1)/(1+4*x)/(16*x-1) lgdogf] A090407 5.69689 [-(50*f(x)-41)*(64*f(x)*x^2+12*f(x)*x-f(x)-6*x+1) ogf] A090407 6.30726 [{-a(n+2)+12*a(n+1)+64*a(n),a(0)=1,a(1)=6} ogf] A090408 10.1662 [-(24*x+1)/(4*x+1)/(16*x-1) ogf] A090408 10.3671 [1/16*(-1-12*x+(1+120*x+400*x^2)^(1/2))/(8*x+3) revogf] A090408 10.3671 [-4*(9+32*x+384*x^2)/(24*x+1)/(4*x+1)/(-1+16*x) lgdogf] A090408 5.74089 [{a(n+2)-12*a(n+1)-64*a(n),a(0)=1,a(1)=36} ogf] A090408 7.91727 [(35*f(x)+46)*(64*f(x)*x^2+12*f(x)*x-f(x)+24*x+1) ogf] A090409 13.5806 [(x-1)/(x+1)/(8*x-1) ogf] A090409 13.9336 [1/2/(-1+8*x)*(-7*x-1+(81*x^2+10*x+1)^(1/2)) revogf] A090409 16.1931 [-2*(-3-8*x+4*x^2)/(x-1)/(8*x-1)/(x+1) lgdogf] A090409 6.71571 [-(29*f(x)-11)*(8*f(x)*x^2+7*f(x)*x-f(x)-x+1) ogf] A090409 7.45279 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=1,a(1)=6} ogf] A090411 15.2343 [-16*f(x)*x+f(x)+x-1 ogf] A090411 18.4415 [(x-1)/(16*x-1) ogf] A090411 20.2647 [1/2+8*x-1/2*(1+28*x+256*x^2)^(1/2) revogf] A090411 38.2777 [15/(16*x-1)/(-1+x) lgdogf] A090411 9.46996 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=15} ogf] A090412 11.5294 [-(x+1+3*x*(1+4*x^2)^(1/2)-(1+4*x^2)^(1/2))/(1+4*x^2)^(1/2)/x/(3*x-2) lgdogf] A090412 3.82760 [{(12*n+24)*a(n+1)+(-8*n-16)*a(n+2)+(3*n+15)*a(n+3)+(-2*n-10)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=4} ogf] A090412 34.0870 [x*(2*x+1)/(1+x)/(1+3*x) revogf] A090412 9.99153 [-3*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A090413 25.1802 [x*(1+3*x)/(2*x+1)/(1+4*x) revogf] A090413 8.17540 [-1/2*(2*x+3+16*x*(1+4*x^2)^(1/2)-3*(1+4*x^2)^(1/2))/(1+4*x^2)^(1/2)/(8*x-3)/x lgdogf] A090413 8.3466 [8*f(x)^2*x^2-3*f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A090415 7.78936 [-(4*x^8-5*x^7-4*x^6-5*x^5-4*x^4-5*x^3-5*x^2-4*x-9)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A090429 7.82586 [-(11*x^7-x^6-9*x^5-x^4-x^3-9*x^2-x-100)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A090442 12.1265 [8*f(x)^2*x^2+6*f(x)*x-f(x)+1 ogf] A090442 14.6518 [-((1-12*x+4*x^2)^(1/2)-1)/x/(1-12*x+4*x^2)^(1/2) lgdogf] A090442 4.67622 [{(4*n+8)*a(n+1)+(-12*n-42)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=6,a(2)=44} ogf] A090442 41.3697 [x/(2*x+1)/(1+4*x) revogf] A090443 6.48910 [{(-n^3-9*n^2-26*n-24)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A090448 13.4648 [-4*(24+58*x+x^3+22*x^2)/(x-1)/(x^3+17*x^2+33*x+9) lgdogf] A090448 3.65817 [{(n^2+10*n+25)*a(n+1)+(-7*n^2-82*n-264)*a(n+2)+(6*n^2+42*n+72)*a(n+3),a(0)=9,a(1)=96,a(2)=500} ogf] A090448 6.29069 [-(x^3+17*x^2+33*x+9)/(x-1)^7 ogf] A090449 4.03111 [-(x^6+109*x^5+1435*x^4+4735*x^3+4780*x^2+1444*x+96)/(x-1)^11 ogf] A090453 15.1207 [-2*(8+3*x+3*x^3-9*x^2)/(x-1)/(3*x^3-9*x^2+6*x+2) lgdogf] A090453 4.38011 [{(-9-3*n)*a(n+1)+(-n^2-7*n-18)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=2,a(1)=16,a(2)=51} ogf] A090453 8.50849 [-(3*x^3-9*x^2+6*x+2)/(x-1)^5 ogf] A090454 10.6819 [-(-105+48*x+12*x^4-56*x^3+66*x^2)/(x-1)/(4*x^4-18*x^3+24*x^2-15) lgdogf] A090454 6.22541 [(4*x^4-18*x^3+24*x^2-15)/(x-1)^7 ogf] A090461 12.5234 [-(x^5+4*x^4-5*x^3+14*x-15)/(x-1)^2 ogf] A090461 13.0183 [(16-14*x+3*x^5-21*x^3+3*x^4+15*x^2)/(x-1)/(x^5+4*x^4-5*x^3+14*x-15) lgdogf] A090470 21.7939 [-(-5+12*x)/(4*x-1)/(2*x-1) lgdegf] A090470 3.95873 [{(8*n^2+36*n+40)*a(n+1)+(-6*n-17)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=43} ogf] A090470 6.88066 [32*x^3*f(x)^2-32*f(x)^2*x^2+10*f(x)^2*x-f(x)^2+1 egf] A090491 6.51797 [-(x^8-x^7+x^6+x^4+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A090492 16.8666 [-x^19+x^9+x^4+x^3+x^2+x ogf_with_Euler_transform] A090492 6.77179 [(x^8-x^6+x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A090529 12.9690 [(-1-2*x-25*x^24+2*x^3+6*x^7-7*x^6+24*x^25-2*x^2)/(x-1)/(x^25+x^7+x^3+x^2+1) lgdogf] A090529 15.0196 [-(x^25+x^7+x^3+x^2+1)/(x-1) ogf] A090561 6.25379 [-(831930*x^5+15997*x^4-559*x^3+24*x^2-6*x+1)/(10*x-1) ogf] A090567 9.43639 [-(5041*x^5+61504*x^4+961*x^3+49*x^2+64*x+16)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A090568 12.9761 [(-2-4*x+5*x^2-18*x^3-3*x^4+12*x^5)/(x-1)/(3*x^5+4*x^4-x^3+2*x^2+x+1) lgdogf] A090568 13.0351 [-(3*x^5+4*x^4-x^3+2*x^2+x+1)/(x-1) ogf] A090570 12.7549 [x*(8*x+1)/(x+1)/(x-1)^2 ogf] A090570 19.8660 [-(9+11*x+16*x^2)/(x-1)/(8*x+1)/(1+x) lgdogf] A090570 6.37745 [(1881*f(x)+20093)*(f(x)*x^3-f(x)*x^2-f(x)*x-8*x^2+f(x)-x) ogf] A090570 6.54980 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=9} ogf] A090579 15.8152 [-3*x^9-x^8+4 ogf_with_Euler_transform] A090580 25.0539 [-4*x^9-x^8+5 ogf_with_Euler_transform] A090581 37.1017 [-5*x^9-x^8+6 ogf_with_Euler_transform] A090590 13.8288 [-(8*x-1)/(8*x^2-2*x+1) ogf] A090590 15.5148 [-1/16*(-1-2*x+(1-28*x-28*x^2)^(1/2))/(1+x) revogf] A090590 15.8932 [-2*(-3-8*x+32*x^2)/(-1+8*x)/(8*x^2-2*x+1) lgdogf] A090590 6.9144 [-(7*f(x)+74)*(8*f(x)*x^2-2*f(x)*x+f(x)+8*x-1) ogf] A090590 7.58899 [{-a(n+2)+2*a(n+1)-8*a(n),a(0)=1,a(1)=-6} ogf] A090591 18.9803 [1/(8*x^2-2*x+1) ogf] A090591 23.1759 [-2*(-1+8*x)/(8*x^2+1-2*x) lgdogf] A090591 6.71254 [{a(n+2)-2*a(n+1)+8*a(n),a(0)=1,a(1)=2} ogf] A090591 6.7954 [(f(x)+2)*(8*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A090592 8.17772 [-(24*f(x)-49)*(7*f(x)*x^2-2*f(x)*x+f(x)+7*x-1) ogf] A090596 11.6470 [-(x^4+x^3+2*x^2-1)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A090596 9.28927 [-(1+2*x+36*x^7-2*x^4-2*x^3+8*x^9+14*x^8+11*x^6-18*x^5-4*x^2)/(2*x-1)/(x+1)/(1+x^2)/(2*x^2-1)/(x^4+x^3+2*x^2-1) lgdogf] A090597 6.03809 [-x*(3*x^4+2*x^3+x^2-1)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A090598 15.4704 [-2*(-7+60*x)/(10*x-1)/(8*x-1) lgdegf] A090598 3.02103 [{(80*n^2+360*n+400)*a(n+1)+(-18*n-50)*a(n+2)+a(n+3),a(0)=1,a(1)=14,a(2)=328} ogf] A090598 5.33949 [800*f(x)^2*x^3-260*f(x)^2*x^2+28*f(x)^2*x-f(x)^2+1 egf] A090620 21.1544 [x^13/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A090620 8.45807 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+14*x^12)/(x-1)/(1+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x) lgdogf] A090631 24.0536 [x^17+x^5+x+2 ogf_with_Euler_transform] A090667 5.10881 [(896*x^6-1968*x^5+1704*x^4-757*x^3+179*x^2-21*x+1)/(8*x-1)/(4*x-1)^2/(2*x-1)^3 ogf] A090671 13.7655 [(8-10*x+891*x^8-1683*x^9+792*x^10)/(x-1)/(99*x^10-99*x^9+10*x-9) lgdogf] A090671 13.8169 [-(99*x^10-99*x^9+10*x-9)/(x-1)^2 ogf] A090672 13.6716 [2*x/(x-1)^4 egf] A090672 5.9884 [-(7*f(x)+9)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-2*x) egf] A090672 6.52789 [{(-n^2-6*n-8)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=2} ogf] A090672 89.4328 [-4/(x-1) lgdegf] A090676 5.14712 [x^2*(x^12+x^11+2*x^9+x^8+2*x^7-x^6+x^5+x^4+3*x^3+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^4 ogf] A090692 12.6412 [2*(x^2-9*x+15)/(x+1)/(x^2-3*x+1) ogf] A090692 13.0511 [-(-21-62*x+65*x^2-18*x^3+x^4)/(x+1)/(x^2-3*x+1)/(x^2-9*x+15) lgdogf] A090692 6.42256 [(2231855*f(x)+921662)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)+18*x-30) ogf] A090692 6.86548 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=30,a(1)=42,a(2)=146} ogf] A090701 10.1652 [(x^17-x^16-x^11+x^10-x^6+x^5+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A090727 13.2834 [-2*(8*x-1)/(x^2-16*x+1) ogf] A090727 17.5074 [-2*(4-x+4*x^2)/(8*x-1)/(x^2-16*x+1) lgdogf] A090727 6.30627 [-(16065*f(x)-23938)*(f(x)*x^2-16*f(x)*x+f(x)+16*x-2) ogf] A090727 7.43238 [{a(n+2)-16*a(n+1)+a(n),a(0)=2,a(1)=16} ogf] A090728 14.0829 [-2*(10*x-1)/(x^2-20*x+1) ogf] A090728 18.0648 [-2*(5-x+5*x^2)/(10*x-1)/(x^2-20*x+1) lgdogf] A090728 7.11715 [-(99*f(x)-98)*(f(x)*x^2-20*f(x)*x+f(x)+20*x-2) ogf] A090728 7.87970 [{a(n+2)-20*a(n+1)+a(n),a(0)=2,a(1)=20} ogf] A090729 10.9134 [-(21*x-2)/(x^2-21*x+1) ogf] A090729 13.2063 [-(21-4*x+21*x^2)/(21*x-2)/(x^2-21*x+1) lgdogf] A090729 5.39925 [-(437*f(x)-433)*(f(x)*x^2-21*f(x)*x+f(x)+21*x-2) ogf] A090729 6.10630 [{a(n+2)-21*a(n+1)+a(n),a(0)=2,a(1)=21} ogf] A090730 11.2083 [-2*(11*x-1)/(x^2-22*x+1) ogf] A090730 13.5711 [-(11-2*x+11*x^2)/(11*x-1)/(x^2-22*x+1) lgdogf] A090730 5.54518 [-(120*f(x)-119)*(f(x)*x^2-22*f(x)*x+f(x)+22*x-2) ogf] A090730 6.27133 [{a(n+2)-22*a(n+1)+a(n),a(0)=2,a(1)=22} ogf] A090731 11.2673 [-(23*x-2)/(x^2-23*x+1) ogf] A090731 13.6441 [-(23-4*x+23*x^2)/(23*x-2)/(x^2-23*x+1) lgdogf] A090731 5.57436 [-(525*f(x)-521)*(f(x)*x^2-23*f(x)*x+f(x)+23*x-2) ogf] A090731 6.30435 [{a(n+2)-23*a(n+1)+a(n),a(0)=2,a(1)=23} ogf] A090732 11.3853 [-2*(-1+12*x)/(x^2-24*x+1) ogf] A090732 14.5561 [-2*(6-x+6*x^2)/(12*x-1)/(x^2-24*x+1) lgdogf] A090732 5.3511 [-(82225*f(x)-122978)*(f(x)*x^2-24*f(x)*x+f(x)+24*x-2) ogf] A090732 6.37036 [{a(n+2)-24*a(n+1)+a(n),a(0)=2,a(1)=24} ogf] A090733 11.4443 [-(25*x-2)/(x^2-25*x+1) ogf] A090733 13.8630 [-(25-4*x+25*x^2)/(25*x-2)/(x^2-25*x+1) lgdogf] A090733 5.66192 [-(621*f(x)-617)*(f(x)*x^2-25*f(x)*x+f(x)+25*x-2) ogf] A090733 6.40336 [{a(n+2)-25*a(n+1)+a(n),a(0)=2,a(1)=25} ogf] A090749 6.46331 [{(-4*n^2-58*n-210)*a(n+1)+(n^2+16*n+28)*a(n+2),a(0)=1,a(1)=12} ogf] A090757 4.49139 [1/(x-1)/(x^2+2*x-1) ogf] A090757 5.09751 [-(-3+2*x+3*x^2)/(-1+x)/(x^2+2*x-1) lgdogf] A090763 10.3818 [hypergeom([4/3,5/3],[3/2],27/4*x) ogf] A090763 4.70423 [{(27*n^2+135*n+168)*a(n+1)+(-4*n^2-18*n-20)*a(n+2),a(0)=1,a(1)=10} ogf] A090763 4.81714 [-19683*f(x)^3*x^4+8748*f(x)^3*x^3-1296*f(x)^3*x^2+64*f(x)^3*x-54*f(x)*x-f(x)+1 ogf] A090771 13.8524 [(x^2+8*x+1)/(x+1)/(x-1)^2 ogf] A090771 18.8369 [-(9+13*x+x^3+17*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A090771 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=11} ogf] A090771 7.54462 [(7*f(x)+78)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-8*x-1) ogf] A090772 13.8524 [2*(x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A090772 19.7339 [-(4+8*x+x^3+7*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A090772 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=8,a(2)=12} ogf] A090772 7.61259 [(f(x)-2)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-6*x-2) ogf] A090773 13.8524 [2*(2*x^2+x+2)/(x+1)/(x-1)^2 ogf] A090773 18.4183 [-(3+11*x+2*x^3+4*x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A090773 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=6,a(2)=14} ogf] A090773 7.47786 [(7*f(x)+102)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-2*x-4) ogf] A090809 24.8360 [-(10+2*x+3*x^2)/(x-1)/(x^2+2) lgdogf] A090809 3.80899 [{(-203*n^2-778*n-744)*a(n+1)+(76*n^2-1422*n-3765)*a(n+2)+(127*n^2+880*n+753)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A090809 9.20909 [-x^2*(x^2+2)/(x-1)^5 ogf] A090816 10.4851 [hypergeom([2/3,4/3],[1/2],27/4*x) ogf] A090816 4.75104 [{(-27*n^2-108*n-105)*a(n+1)+(4*n^2+14*n+12)*a(n+2),a(0)=1,a(1)=12} ogf] A090816 5.7987 [19683*f(x)^3*x^3-8748*f(x)^3*x^2+1296*f(x)^3*x-64*f(x)^3+405*f(x)*x+48*f(x)+27*x+16 ogf] A090826 3.31257 [{(4*n+10)*a(n+1)+(3*n+6)*a(n+2)+(-5*n-14)*a(n+3)+(n+4)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A090826 4.50052 [-f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2-f(x)^2-f(x)*x+f(x)-x ogf] A090843 11.8075 [(x+1)/(10*x-1)/(x-1) ogf] A090843 11.8128 [-1/2*(-11*x-1+(81*x^2+26*x+1)^(1/2))/(-1+10*x) revogf] A090843 13.9331 [-2*(-6+10*x+5*x^2)/(x-1)/(10*x-1)/(x+1) lgdogf] A090843 6.37875 [(7*f(x)+2)*(10*f(x)*x^2-11*f(x)*x+f(x)-x-1) ogf] A090843 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=12} ogf] A090860 13.4648 [1/4*(-24-x+3^(1/2)*((24+x)*(8+3*x))^(1/2))/(24+x) revogf] A090860 14.3214 [-24*(2*x+1)/(2*x-1)/(x+1) ogf] A090860 18.3271 [-(3+4*x+4*x^2)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A090860 7.16069 [-(43*f(x)+912)*(2*f(x)*x^2+f(x)*x-f(x)+48*x+24) ogf] A090860 8.01314 [{a(n+2)-a(n+1)-2*a(n),a(0)=24,a(1)=72} ogf] A090872 2.63396 [(f(x)*x-f(x)+2)^2 ogf] A090874 2.63396 [(f(x)*x-f(x)+1)^2 ogf] A090932 13.5704 [-2*(x+1)/(x^2-2) egf] A090932 8.83155 [-f(x)*(f(x)*x^2-2*f(x)+2*x+2) egf] A090937 7.79075 [-(x^2+1)*(2*x^8-2*x^7-2*x^6+2*x^5-x^4+x^3+1)/(x+1)/(x-1)^3 ogf] A090948 6.42521 [x*(47*x^4-240*x^3+475*x^2-436*x+159)/(x-1)^6 ogf] A090948 9.50333 [-2*(259-615*x+47*x^4-266*x^3+590*x^2)/(x-1)/(47*x^4-240*x^3+475*x^2-436*x+159) lgdogf] A090949 14.2858 [-(-89+128*x+12*x^3-66*x^2)/(x-1)/(6*x^3-28*x^2+46*x-27) lgdogf] A090949 4.00318 [{(-176*n^2-2236*n-3768)*a(n+1)+(337*n^2+4333*n+9514)*a(n+2)+(-161*n^2-2157*n-3670)*a(n+3),a(0)=0,a(1)=27,a(2)=89} ogf] A090949 8.47481 [x*(6*x^3-28*x^2+46*x-27)/(x-1)^5 ogf] A090950 14.7555 [-(-37+52*x+4*x^3-24*x^2)/(x-1)/(2*x^3-10*x^2+18*x-11) lgdogf] A090950 4.10937 [{(49*n^2+383*n+570)*a(n+1)+(-122*n^2-1006*n-1920)*a(n+2)+(73*n^2+527*n+762)*a(n+3),a(0)=0,a(1)=11,a(2)=37} ogf] A090950 8.43733 [x*(2*x^3-10*x^2+18*x-11)/(x-1)^5 ogf] A090957 2.89414 [{(-3125*n^4-21875*n^3-56875*n^2-65125*n-27720)*a(n+1)+(256*n^4+1664*n^3+4016*n^2+4264*n+1680)*a(n+2),a(0)=1,a(1)=30} ogf] A090964 10.5659 [(2*x^5-3*x^4+3*x^3-2*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A090964 9.57602 [(-4+x^7+4*x^5-5*x^6+3*x^3-20*x^4-11*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^5-3*x^4+3*x^3-2*x^2+3*x+1) lgdogf] A090965 12.9149 [-(4*x-1)/(4*x^2-8*x+1) ogf] A090965 14.5946 [-4*(1-2*x+4*x^2)/(-1+4*x)/(4*x^2-8*x+1) lgdogf] A090965 6.38651 [-(45*f(x)-29)*(4*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A090965 7.08746 [{a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=4} ogf] A090989 11.4361 [(3+2*2^(1/2))*(-ln(3+2*2^(1/2))+ln(3+x+((x+4)*(x+2))^(1/2)))/(4+3*2^(1/2)) revegf] A090989 12.8554 [(4*f(x)-7)*(2*f(x)*x^2-f(x)+6*x+4) ogf] A090989 13.4580 [{a(n+2)-2*a(n),a(0)=4,a(1)=6} ogf] A090989 21.0077 [-2*(3*x+2)/(2*x^2-1) ogf] A090989 26.4459 [-(3+8*x+6*x^2)/(3*x+2)/(2*x^2-1) lgdogf] A090990 11.3631 [-(3*x^2-4*x-5)/(x^3-2*x^2-x+1) ogf] A090990 11.9173 [-(9+14*x+3*x^4-8*x^3-4*x^2)/(3*x^2-4*x-5)/(x^3-2*x^2-x+1) lgdogf] A090990 5.92433 [-(39*f(x)+70)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+3*x^2+f(x)-4*x-5) ogf] A090990 6.13405 [{-a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=9,a(2)=16} ogf] A090991 17.3602 [-2*(2*x+3)/(x^2+x-1) ogf] A090991 19.6634 [1/2/(4+x)*(-6-x+((5*x+18)*(x+2))^(1/2)) revogf] A090991 23.9648 [-(5+6*x+2*x^2)/(2*x+3)/(x^2+x-1) lgdogf] A090991 8.97939 [(11*f(x)-16)*(f(x)*x^2+f(x)*x-f(x)+4*x+6) ogf] A090991 9.41213 [{a(n+2)-a(n+1)-a(n),a(0)=6,a(1)=10} ogf] A090992 5.29762 [(83*f(x)-92)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+4*x^3-f(x)*x+10*x^2+f(x)-6*x-7) ogf] A090992 8.56242 [-(13+22*x+4*x^6+20*x^5+14*x^4-44*x^3-26*x^2)/(x-1)/(x^3+3*x^2-1)/(4*x^3+10*x^2-6*x-7) lgdogf] A090992 9.50856 [-(4*x^3+10*x^2-6*x-7)/(x-1)/(x^3+3*x^2-1) ogf] A090993 10.6105 [{a(n+2)-3*a(n),a(0)=8,a(1)=14} ogf] A090993 16.4210 [-2*(7*x+4)/(3*x^2-1) ogf] A090993 19.3091 [(-4+((8+3*x)*(x+2))^(1/2))/(14+3*x) revogf] A090993 19.8770 [-(7+24*x+21*x^2)/(7*x+4)/(3*x^2-1) lgdogf] A090993 9.85259 [(12*f(x)-47)*(3*f(x)*x^2-f(x)+14*x+8) ogf] A090994 6.12790 [-(17+30*x-64*x^2+5*x^8-12*x^6-24*x^7-112*x^3+69*x^4+118*x^5)/(x^5-3*x^4-3*x^3+4*x^2+x-1)/(5*x^4-12*x^3-21*x^2+8*x+9) lgdogf] A090994 7.62707 [-(5*x^4-12*x^3-21*x^2+8*x+9)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A090995 11.1328 [-2*(3*x^2-4*x-5)/(x^3-2*x^2-x+1) ogf] A090995 11.8684 [-(9+14*x+3*x^4-8*x^3-4*x^2)/(3*x^2-4*x-5)/(x^3-2*x^2-x+1) lgdogf] A090995 5.80026 [-(39*f(x)+140)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+6*x^2+f(x)-8*x-10) ogf] A090995 6.00202 [{-a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=18,a(2)=32} ogf] A091000 10.8706 [-(2*x^2+2*x-1)/(x-1)/(3*x-1)/(2*x+1) ogf] A091000 10.9407 [-6*x*(1+2*x^3+4*x^2-4*x)/(x-1)/(3*x-1)/(2*x+1)/(2*x^2+2*x-1) lgdogf] A091000 5.71645 [-(13*f(x)-4)*(6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A091000 5.97395 [{a(n+3)-2*a(n+2)-5*a(n+1)+6*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A091001 11.5750 [-x*(2*x-1)/(x-1)/(3*x-1)/(2*x+1) ogf] A091001 12.8061 [-2*x*(5+12*x^2-14*x)/(x-1)/(-1+3*x)/(2*x+1)/(2*x-1) lgdogf] A091001 5.99796 [{-a(n+3)+2*a(n+2)+5*a(n+1)-6*a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A091001 5.99797 [(113*f(x)-10)*(6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x) ogf] A091002 18.7481 [x^2/(x-1)/(3*x-1)/(2*x+1) ogf] A091002 19.0467 [-2*(-1-5*x+9*x^2)/(2*x+1)/(-1+3*x)/(x-1) lgdogf] A091002 6.98792 [{a(n+3)-2*a(n+2)-5*a(n+1)+6*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A091002 7.18384 [-(5*f(x)+1)*(6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x-x^2+f(x)) ogf] A091003 13.5869 [(3*x^2-1)/(3*x+1)/(2*x-1) ogf] A091003 17.3856 [-(1-6*x+3*x^2)/(2*x-1)/(3*x+1)/(3*x^2-1) lgdogf] A091003 6.52706 [{a(n+3)+a(n+2)-6*a(n+1),a(0)=1,a(1)=-1,a(2)=4} ogf] A091003 7.00799 [-(11*f(x)-10)*(6*f(x)*x^2-f(x)*x-3*x^2-f(x)+1) ogf] A091004 14.2809 [x*(x-1)/(3*x+1)/(2*x-1) ogf] A091004 18.7970 [1/2/(-1+6*x)*(x-1+(1-6*x+25*x^2)^(1/2)) revogf] A091004 19.2917 [-2*(1-6*x+3*x^2)/(x-1)/(2*x-1)/(3*x+1) lgdogf] A091004 6.92834 [{a(n+3)+a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=-2} ogf] A091004 8.63905 [f(x)*(6*f(x)*x^2-f(x)*x-x^2-f(x)+x) ogf] A091005 18.9297 [-x^2/(3*x+1)/(2*x-1) ogf] A091005 28.3630 [-(-1+12*x)/(3*x+1)/(2*x-1) lgdogf] A091005 7.00398 [{-a(n+3)-a(n+2)+6*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A091005 8.64688 [-f(x)*(6*f(x)*x^2-f(x)*x+x^2-f(x)) ogf] A091024 11.8775 [x/(x+1)/(x^3-3*x+1) ogf] A091024 15.8876 [-(-2-6*x+3*x^2+4*x^3)/(x+1)/(x^3-3*x+1) lgdogf] A091024 5.15988 [-(13*f(x)+4)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A091026 4.47293 [-(5*x^6-30*x^5+60*x^4-20*x^3-75*x^2+69*x+5)/(x-1)^9 ogf] A091026 6.96544 [-3*(38+134*x+5*x^6-30*x^5+50*x^4+40*x^3-195*x^2)/(x-1)/(5*x^6-30*x^5+60*x^4-20*x^3-75*x^2+69*x+5) lgdogf] A091027 3.39139 [{(n^3+15*n^2+74*n+120)*a(n+1)+(-5*n^3-103*n^2-694*n-1536)*a(n+2)+(4*n^3+58*n^2+250*n+336)*a(n+3),a(0)=63,a(1)=910,a(2)=6083} ogf] A091027 3.84590 [(6*x^7-45*x^6+120*x^5-80*x^4-225*x^3+462*x^2-217*x-63)/(x-1)^11 ogf] A091027 5.95994 [-(-910-1246*x-183*x^6+450*x^5+3483*x^2-2120*x^3+40*x^4+24*x^7)/(x-1)/(6*x^7-45*x^6+120*x^5-80*x^4-225*x^3+462*x^2-217*x-63) lgdogf] A091030 12.5370 [-1/26*(-1-14*x+(1+28*x+144*x^2)^(1/2))/x revogf] A091030 14.6517 [1/(13*x-1)/(x-1) ogf] A091030 18.5733 [-2*(-7+13*x)/(13*x-1)/(x-1) lgdogf] A091030 6.03307 [{-a(n+2)+14*a(n+1)-13*a(n),a(0)=1,a(1)=14} ogf] A091030 6.03308 [(85*f(x)+13)*(13*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A091032 4.01028 [{(4*n^3+42*n^2+146*n+168)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=60} ogf] A091035 3.39157 [{(8*n^4+136*n^3+862*n^2+2414*n+2520)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=840} ogf] A091037 10.3974 [1/(120*x-1)/(24*x-1) ogf] A091037 11.6715 [-144*(-1+40*x)/(120*x-1)/(24*x-1) lgdogf] A091037 4.39 [(781*f(x)+515)*(2880*f(x)*x^2-144*f(x)*x+f(x)-1) ogf] A091037 4.43934 [{-a(n+2)+144*a(n+1)-2880*a(n),a(0)=1,a(1)=144} ogf] A091037 8.55913 [-1/5760*(-1-144*x+(1+288*x+9216*x^2)^(1/2))/x revogf] A091038 10.8828 [1/(720*x-1)/(120*x-1) ogf] A091038 11.5232 [-120*(-7+1440*x)/(720*x-1)/(120*x-1) lgdogf] A091038 4.61334 [(1555*f(x)+846)*(86400*f(x)*x^2-840*f(x)*x+f(x)-1) ogf] A091038 4.71587 [{-a(n+2)+840*a(n+1)-86400*a(n),a(0)=1,a(1)=840} ogf] A091038 8.29673 [-1/172800*(-1-840*x+(1+1680*x+360000*x^2)^(1/2))/x revogf] A091045 13.6702 [-1/34*(-1-18*x+(1+36*x+256*x^2)^(1/2))/x revogf] A091045 15.9469 [1/(17*x-1)/(x-1) ogf] A091045 20.2522 [-2*(-9+17*x)/(17*x-1)/(x-1) lgdogf] A091045 6.49004 [(145*f(x)+17)*(17*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A091045 6.56638 [{-a(n+2)+18*a(n+1)-17*a(n),a(0)=1,a(1)=18} ogf] A091052 5.80717 [-(182*f(x)+11)*(16*f(x)*x^4-17*f(x)*x^2+8*x^3+4*x^2+f(x)-2*x-1) ogf] A091052 7.54308 [-2*(1+11*x+16*x^4+2*x^3-17*x^2+32*x^5)/(x-1)/(-1+4*x)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) lgdogf] A091052 9.53415 [-(2*x-1)*(2*x+1)^2/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A091054 5.31442 [(52*f(x)-43)*(12*f(x)*x^3-8*f(x)*x^2-5*f(x)*x+2*x^2+f(x)+5*x-1) ogf] A091054 5.40932 [{-a(n+3)+5*a(n+2)+8*a(n+1)-12*a(n),a(0)=1,a(1)=0,a(2)=6} ogf] A091054 9.62211 [-6*x*(2-11*x+20*x^2+4*x^3)/(x-1)/(6*x-1)/(2*x+1)/(2*x^2+5*x-1) lgdogf] A091054 9.77168 [-(2*x^2+5*x-1)/(x-1)/(6*x-1)/(2*x+1) ogf] A091055 10.4456 [-x*(2*x-1)/(x-1)/(6*x-1)/(2*x+1) ogf] A091055 11.0476 [-(3+16*x-52*x^2+48*x^3)/(x-1)/(6*x-1)/(2*x+1)/(-1+2*x) lgdogf] A091055 5.40932 [{a(n+3)-5*a(n+2)-8*a(n+1)+12*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A091055 5.60967 [(3*f(x)+1)*(12*f(x)*x^3-8*f(x)*x^2-5*f(x)*x+2*x^2+f(x)-x) ogf] A091056 13.3945 [x^2/(x-1)/(6*x-1)/(2*x+1) ogf] A091056 14.2663 [-(-5-16*x+36*x^2)/(x-1)/(6*x-1)/(1+2*x) lgdogf] A091056 5.06819 [{a(n+3)-5*a(n+2)-8*a(n+1)+12*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A091056 6.86061 [-12*f(x)*x^3+8*f(x)*x^2+5*f(x)*x+x^2-f(x) ogf] A091074 14.9690 [-(55*x+12)/(x^2+x-1) ogf] A091074 16.4210 [1/2/(55+x)*(-12-x+(144+244*x+5*x^2)^(1/2)) revogf] A091074 18.6401 [-(67+24*x+55*x^2)/(55*x+12)/(x^2+x-1) lgdogf] A091074 7.73126 [(91*f(x)+3397)*(f(x)*x^2+f(x)*x-f(x)+55*x+12) ogf] A091074 8.37554 [{a(n+2)-a(n+1)-a(n),a(0)=12,a(1)=67} ogf] A091084 10.8422 [-(2*f(x)+1)*(f(x)*x^4+5*x^4+3*x^3+x^2-f(x)+x) ogf] A091084 12.6322 [-(1+6*x+3*x^4+4*x^3+5*x^6+6*x^5+15*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^3+3*x^2+x+1) lgdogf] A091084 16.1744 [-x*(5*x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A091085 9.56363 [-(7*f(x)-6)*(f(x)*x^4+5*x^4+2*x^3+2*x^2-f(x)+1) ogf] A091086 15.6883 [-2*(1+5*x+3*x^4+2*x^3+5*x^5)/(x-1)/(x+1)/(x^2+1)/(5*x^2+2*x+1) lgdogf] A091086 16.3328 [-x*(5*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A091086 9.94985 [-(150*f(x)+227)*(f(x)*x^4+5*x^3+2*x^2-f(x)+x) ogf] A091095 12.5876 [(24*x^2-4*x-1)/(4*x-1)/(4*x+1) ogf] A091095 14.1322 [4*(1-4*x+16*x^2)/(4*x+1)/(4*x-1)/(24*x^2-4*x-1) lgdogf] A091095 7.55254 [{-a(n+3)+16*a(n+1),a(0)=1,a(1)=4,a(2)=-8} ogf] A091095 7.73454 [-(10*f(x)-17)*(16*f(x)*x^2-24*x^2-f(x)+4*x+1) ogf] A091096 13.0338 [(40*x^2-5*x-1)/(5*x-1)/(5*x+1) ogf] A091096 14.6100 [5*(1-6*x+25*x^2)/(5*x+1)/(5*x-1)/(40*x^2-5*x-1) lgdogf] A091096 7.72935 [{-a(n+3)+25*a(n+1),a(0)=1,a(1)=5,a(2)=-15} ogf] A091096 8.20648 [(102*f(x)-227)*(25*f(x)*x^2-40*x^2-f(x)+5*x+1) ogf] A091097 11.7602 [(60*x^2-6*x-1)/(6*x-1)/(6*x+1) ogf] A091097 13.1497 [6*(1-8*x+36*x^2)/(6*x-1)/(1+6*x)/(60*x^2-6*x-1) lgdogf] A091097 6.97407 [{-a(n+3)+36*a(n+1),a(0)=1,a(1)=6,a(2)=-24} ogf] A091097 7.59204 [(26*f(x)-53)*(36*f(x)*x^2-60*x^2-f(x)+6*x+1) ogf] A091103 13.3582 [-(12*x^2-3*x+1)/(3*x-1)/(3*x+1) ogf] A091103 14.8348 [3*(1-14*x+9*x^2)/(3*x-1)/(3*x+1)/(12*x^2-3*x+1) lgdogf] A091103 7.85776 [{a(n+3)-9*a(n+1),a(0)=1,a(1)=-3,a(2)=21} ogf] A091103 7.95131 [-(406*f(x)-379)*(9*f(x)*x^2+12*x^2-f(x)-3*x+1) ogf] A091104 13.1484 [-(24*x^2-4*x+1)/(4*x-1)/(4*x+1) ogf] A091104 14.2039 [4*(1-20*x+16*x^2)/(-1+4*x)/(4*x+1)/(24*x^2-4*x+1) lgdogf] A091104 7.79731 [{a(n+3)-16*a(n+1),a(0)=1,a(1)=-4,a(2)=40} ogf] A091104 7.88905 [-(145*f(x)-137)*(16*f(x)*x^2+24*x^2-f(x)-4*x+1) ogf] A091105 13.4642 [-(40*x^2-5*x+1)/(5*x-1)/(5*x+1) ogf] A091105 15.0770 [5*(25*x-1)*(x-1)/(5*x+1)/(5*x-1)/(40*x^2-5*x+1) lgdogf] A091105 7.8928 [-(2522*f(x)-2397)*(25*f(x)*x^2+40*x^2-f(x)-5*x+1) ogf] A091105 7.98456 [{a(n+3)-25*a(n+1),a(0)=1,a(1)=-5,a(2)=65} ogf] A091135 15.9647 [-3*(5-14*x+10*x^2)/(x-1)/(2*x-1)/(3*x-2) lgdogf] A091135 8.04469 [-(3*x-2)/(2*x-1)^3/(x-1)^3 ogf] A091140 12.4548 [-(x^2-x-1)/(2*x^3-4*x^2-2*x+1) ogf] A091140 12.7066 [-(3+6*x+2*x^4-4*x^3)/(x^2-x-1)/(2*x^3-4*x^2-2*x+1) lgdogf] A091140 6.78341 [{a(n+3)-2*a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A091140 6.84453 [(8*f(x)+1)*(2*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A091141 12.7825 [(x+1)^2/(2*x^3-4*x^2-2*x+1) ogf] A091141 13.9336 [-2*(-2-3*x+x^3+3*x^2)/(x+1)/(2*x^3-4*x^2-2*x+1) lgdogf] A091141 6.90031 [{a(n+3)-2*a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A091141 6.90032 [(16*f(x)-13)*(2*f(x)*x^3-4*f(x)*x^2-2*f(x)*x-x^2+f(x)-2*x-1) ogf] A091142 11.3452 [-2*(x+1)*(2*x^3-2*x^2+x+1)/(2*x^2-1)/(2*x^3-4*x^2-2*x+1) lgdogf] A091142 13.3288 [-(2*x^2-1)/(2*x^3-4*x^2-2*x+1) ogf] A091142 6.78341 [{a(n+3)-2*a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A091142 6.84453 [-(f(x)-1)*(2*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A091143 19.2286 [1/(4*x-1)/(8*x^2-1) ogf] A091143 6.40953 [{a(n+3)-4*a(n+2)-8*a(n+1)+32*a(n),a(0)=1,a(1)=4,a(2)=24} ogf] A091143 7.30685 [(f(x)+2)*(32*f(x)*x^3-8*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A091147 12.8115 [4*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A091147 4.97289 [{(15*n+30)*a(n+1)+(2*n+7)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A091147 57.1421 [x/(1+x+4*x^2) revogf] A091148 10.1505 [5*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A091148 3.93999 [{(19*n+38)*a(n+1)+(2*n+7)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A091148 45.1028 [x/(1+x+5*x^2) revogf] A091149 10.6288 [6*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A091149 4.12564 [{(23*n+46)*a(n+1)+(2*n+7)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=1,a(2)=7} ogf] A091149 47.2735 [x/(1+x+6*x^2) revogf] A091270 11.2180 [x*(2*x^2-x+2)/(2*x-1)/(x-1) ogf] A091270 15.3469 [-(-5+4*x+4*x^2)/(x-1)/(2*x-1)/(2*x^2-x+2) lgdogf] A091270 5.60900 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=0,a(1)=2,a(2)=5,a(3)=13} ogf] A091270 6.08976 [-(946*f(x)+357)*(2*f(x)*x^2-2*x^3-3*f(x)*x+x^2+f(x)-2*x) ogf] A091281 11.2113 [-(8*x^2+10*x-1)/(15*x-1)/(24*x^2-1) ogf] A091281 5.82635 [(3461019*f(x)-555023)*(360*f(x)*x^3-24*f(x)*x^2-15*f(x)*x+8*x^2+f(x)+10*x-1) ogf] A091281 6.32432 [{a(n+3)-15*a(n+2)-24*a(n+1)+360*a(n),a(0)=1,a(1)=5,a(2)=91} ogf] A091307 12.2447 [-2*(10*x^2-5*x-3)/(2*x-1)/(x-1) ogf] A091307 14.0424 [-2*(7-16*x+10*x^2)/(x-1)/(2*x-1)/(10*x^2-5*x-3) lgdogf] A091307 6.47558 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=6,a(1)=28,a(2)=52} ogf] A091307 6.66791 [-(5*f(x)+166)*(2*f(x)*x^2-3*f(x)*x+20*x^2+f(x)-10*x-6) ogf] A091332 6.42035 [-(1402*x^7+2424*x^6-786*x^5-2020*x^4+7980*x^3-3423*x^2-4444*x-1234)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A091337 15.2916 [f(x)*x^4+x^2+f(x)-1 ogf] A091337 16.6508 [-(x-1)*(x+1)/(x^4+1) ogf] A091337 20.2094 [x*(x^6-x^2-1) ogf_with_Euler_transform] A091337 28.0431 [-2*x*(-1-2*x^2+x^4)/(x-1)/(x+1)/(1+x^4) lgdogf] A091341 5.49299 [(59800*x^7-38262*x^6-62840*x^5+38160*x^4-54750*x^3-11233*x^2+67891*x+12345)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A091344 11.4033 [-x*(x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A091344 13.0324 [-(7-22*x+12*x^3+7*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A091344 5.90530 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A091344 6.12401 [(7*f(x)+1)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+x^2-f(x)+x) ogf] A091347 5.91112 [-(14925*f(x)+5038)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-10*f(x)*x-5*x^2+f(x)-x) ogf] A091347 7.83346 [-(-15+70*x+25*x^2-404*x^3+360*x^4)/(x-1)/(5*x+1)/(4*x-1)/(-1+3*x)/(2*x-1) lgdogf] A091347 8.42197 [x*(5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A091348 5.56782 [x*(x+1)*(4*x^2-15*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A091360 19.8291 [-(x^2-2*x+2)/(-x^2+2*x-1) ogf_with_Euler_transform] A091361 17.1623 [(5*x^3+1)/(x-1)^2 ogf] A091361 24.2583 [(-2+5*x^3-15*x^2)/(-1+x)/(5*x^3+1) lgdogf] A091361 7.37679 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=9} ogf] A091361 9.34394 [(56*f(x)-5)*(f(x)*x^2-5*x^3-2*f(x)*x+f(x)-1) ogf] A091363 15.9874 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdegf] A091363 4.70457 [-(660*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-4*x^2+f(x)-x) egf] A091363 9.15134 [x*(x^2+4*x+1)/(x-1)^4 egf] A091364 11.3808 [-2*(8+33*x+18*x^2+x^3)/(-1+x)/(x+1)/(x^2+10*x+1) lgdegf] A091364 5.96722 [-x*(x+1)*(x^2+10*x+1)/(x-1)^5 egf] A091374 6.37979 [-(x^26+x^19-x^16-x^14-x^12-x^10-x^8-x^6-x^4-x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A091429 13.2255 [-2*(-13+216*x)/(18*x-1)/(16*x-1) lgdegf] A091429 2.77870 [{(288*n^2+1296*n+1440)*a(n+1)+(-34*n-94)*a(n+2)+a(n+3),a(0)=1,a(1)=26,a(2)=1128} ogf] A091429 4.98249 [5184*f(x)^2*x^3-900*f(x)^2*x^2+52*f(x)^2*x-f(x)^2+1 egf] A091433 4.7288 [(3409*f(x)-311)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x+58*x^2-f(x)-42*x+8) ogf] A091433 4.84902 [{a(n+3)-12*a(n+2)+47*a(n+1)-60*a(n),a(0)=8,a(1)=54,a(2)=330} ogf] A091433 7.27534 [-3*(9-106*x+453*x^2-840*x^3+580*x^4)/(-1+4*x)/(3*x-1)/(5*x-1)/(29*x^2-21*x+4) lgdogf] A091433 8.66945 [-2*(29*x^2-21*x+4)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A091484 6.19528 [(6*x^7-4*x^6+17*x^5-12*x^4+3*x^3-5*x^2-1)/(x^2+x-1)/(x^4+3*x^2+1) ogf] A091498 5.48733 [-(x^5-x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A091520 23.3057 [-2*(1+12*x)/(4*x-1)/(4*x+1) lgdogf] A091520 4.68588 [{(n+3)*a(n+3)-2*a(n+2)+(-40-16*n)*a(n+1),a(0)=1,a(1)=2,a(2)=14} ogf] A091520 7.73454 [64*f(x)^2*x^3-16*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A091526 5.76654 [-4*f(x)^2*x^2-7*f(x)^2*x-4*f(x)*x^2+2*f(x)^2+9*f(x)*x-x^2-2*f(x) ogf] A091527 12.552 [108*f(x)^3*x^2-f(x)^3+f(x)+8*x ogf] A091527 4.10950 [{(108*n^2+432*n+384)*a(n+1)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=4,a(2)=30} ogf] A091535 6.18446 [{(9*n^2+45*n+56)*a(n+1)-a(n+2),a(0)=1,a(1)=20} ogf] A091536 21.0511 [(f(x)-1)^2 ogf] A091540 3.53552 [{(-9*n^2-66*n-120)*a(n+1)+(6*n+25)*a(n+2)-a(n+3),a(0)=1,a(1)=13,a(2)=184} ogf] A091541 4.19174 [{(18*n^2-12*n)*a(n)+(3*n^2+n+2)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=4} ogf] A091541 9.0091 [-72*x^2+48*x+19-27*f(x)+9*f(x)^2-f(x)^3 egf] A091544 4.44799 [{(16*n^2+76*n+90)*a(n+1)-a(n+2),a(0)=1,a(1)=30} ogf] A091545 4.62875 [{(25*n^2+115*n+132)*a(n+1)-a(n+2),a(0)=1,a(1)=42} ogf] A091546 4.87237 [{(36*n^2+162*n+182)*a(n+1)-a(n+2),a(0)=1,a(1)=56} ogf] A091553 3.59755 [(1415945944*f(x)-356020565)*(1036800*f(x)*x^3-54720*f(x)*x^2+504*f(x)*x-f(x)+200*x+1) ogf] A091553 3.67995 [{a(n+3)-504*a(n+2)+54720*a(n+1)-1036800*a(n),a(0)=1,a(1)=704,a(2)=300096} ogf] A091553 6.13160 [-64*(11-1710*x-122400*x^2+6480000*x^3)/(200*x+1)/(24*x-1)/(360*x-1)/(120*x-1) lgdogf] A091553 7.19512 [-(200*x+1)/(24*x-1)/(360*x-1)/(120*x-1) ogf] A091561 11.4086 [f(x)^2*x^3+2*f(x)*x-f(x)+1 ogf] A091561 15.7089 [1/2/x^2*(-2*x-1+(1+4*x+4*x^2+4*x^3)^(1/2)) revogf] A091561 3.38243 [{(4*n+10)*a(n+1)+(-4*n-16)*a(n+2)+(4*n+22)*a(n+3)+(-n-7)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A091565 12.2182 [-2*f(x)^2*x^2-f(x)*x+f(x)-x ogf] A091565 18.6968 [1/4/x^2*(-1-x+(1+2*x+x^2+8*x^3)^(1/2)) revogf] A091565 3.67793 [{(-8*n-12)*a(n+1)+(n+3)*a(n+2)+(-2*n-9)*a(n+3)+(n+6)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A091571 5.58355 [(9*x^8-2*x^7+9*x^5-2*x^4+9*x^3-2*x+9)/(x^2-x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A091572 7.06377 [2*(4*x^6+3*x^5+3*x^4+7*x^3+3*x^2+3*x+4)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A091573 11.9639 [(7*x^2-2*x+7)/(x-1)^2/(x^2+1) ogf] A091573 12.9452 [-2*(6-x-3*x^3+7*x^4+15*x^2)/(x-1)/(1+x^2)/(7*x^2-2*x+7) lgdogf] A091573 4.14829 [{(-n-4)*a(n+1)+(n+3)*a(n+2)+(-n-4)*a(n+3)+(n+3)*a(n+4),a(0)=7,a(1)=12,a(2)=17,a(3)=24} ogf] A091573 6.11489 [-(43*f(x)+45)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-7*x^2+f(x)+2*x-7) ogf] A091574 12.9628 [(5*x^2+8*x+5)/(x-1)^2/(x+1)^2 ogf] A091574 14.4615 [-2*(4+15*x+5*x^3+12*x^2)/(x-1)/(1+x)/(5+5*x^2+8*x) lgdogf] A091574 6.31523 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=5,a(1)=8,a(2)=15} ogf] A091574 7.77771 [(70*f(x)+69)*(f(x)*x^4-2*f(x)*x^2-5*x^2+f(x)-8*x-5) ogf] A091577 4.82884 [2*(3*x^6+5*x^5+7*x^4+9*x^3+7*x^2+5*x+3)*(x^4+1) ogf] A091577 6.98980 [(5+14*x+63*x^6+60*x^5+56*x^7+50*x^4+40*x^3+30*x^9+45*x^8+27*x^2)/(3*x^6+5*x^5+7*x^4+9*x^3+7*x^2+5*x+3)/(x^4+1) lgdogf] A091593 12.6301 [-2*f(x)^2*x^2-f(x)*x-f(x)+1 ogf] A091593 17.0206 [-((1+2*x+9*x^2)^(1/2)-1)/(1+2*x+9*x^2)^(1/2)/x lgdogf] A091593 4.93494 [{(9*n+18)*a(n+1)+(2*n+7)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=-1,a(2)=-1} ogf] A091593 46.0559 [-x/(1+x)/(-1+2*x) revogf] A091596 10.4605 [-x*(2*x^2-1)/(2*x-1)^2/(x+1)^2 ogf] A091596 16.3324 [-2*(-1-2*x+4*x^3)/(2*x-1)/(x+1)/(2*x^2-1) lgdogf] A091596 3.79849 [{(-2*n-4)*a(n+1)+(-n-5)*a(n+2)+(n-2)*a(n+3)+2*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A091596 6.60126 [4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+2*x^3-2*f(x)*x+f(x)-x ogf] A091628 10.9859 [-(30*x-23)/(10*x-1)/(x-1) ogf] A091628 11.2123 [-1/20*(-23-11*x+(529+386*x+81*x^2)^(1/2))/(x+3) revogf] A091628 11.7106 [-(223-460*x+300*x^2)/(x-1)/(30*x-23)/(10*x-1) lgdogf] A091628 5.43748 [-(1993*f(x)+3890)*(10*f(x)*x^2-11*f(x)*x+f(x)+30*x-23) ogf] A091628 6.18747 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=23,a(1)=223} ogf] A091629 13.2123 [{a(n+1)-2*a(n),a(0)=6} ogf] A091629 16.7571 [-2*f(x)*x+f(x)-6 ogf] A091629 27.4817 [-6/(2*x-1) ogf] A091629 30.6108 [-1/2*ln(3)+1/2*ln(x+3) revegf] A091629 61.2216 [-2/(-1+2*x) lgdogf] A091630 3.9008 [(4071500098*f(x)+42943793305)*(20*f(x)*x^3-32*f(x)*x^2+13*f(x)*x+120*x^2-f(x)-142*x+29) ogf] A091630 4.44884 [{-a(n+3)+13*a(n+2)-32*a(n+1)+20*a(n),a(0)=29,a(1)=235,a(2)=2247} ogf] A091630 6.34912 [-(235-1616*x+4724*x^2-5680*x^3+2400*x^4)/(x-1)/(-1+2*x)/(10*x-1)/(120*x^2-142*x+29) lgdogf] A091630 7.80159 [-(120*x^2-142*x+29)/(x-1)/(2*x-1)/(10*x-1) ogf] A091650 10.1019 [-(x^3+2*x^2-x-1)/(x+1)/(x^3-3*x+1) ogf] A091650 11.2408 [-(3+2*x+x^6+4*x^5+2*x^4-2*x^3+x^2)/(x+1)/(x^3-3*x+1)/(x^3+2*x^2-x-1) lgdogf] A091650 5.51663 [(191*f(x)-122)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-2*f(x)*x+2*x^2+f(x)-x-1) ogf] A091674 2.68006 [{(365*n^2-130670*n-528520)*a(n+1)+(-n^2+723*n+2543)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1093,a(2)=795341} ogf] A091684 11.8459 [x*(x^4+2*x^3+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A091684 14.8135 [-2*(1+7*x^3+x^6+3*x^5+6*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^3+2*x+1) lgdogf] A091684 6.48705 [{(n+4)*a(n+1)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=0} ogf] A091685 9.47736 [-2*x^3*(10+21*x^2+25*x^6+15*x^8+x^12)/(x-1)/(x+1)/(1+x^2)/(x^8-x^6+6*x^4-x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A091685 9.59352 [x*(x^2+1)*(x^8-x^6+6*x^4-x^2+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A091686 3.92176 [(10512196655+2733765309*f(x))*(100*f(x)*x^4-220*f(x)*x^3-100*x^4+141*f(x)*x^2+120*x^3-22*f(x)*x-42*x^2+f(x)+14*x-1) ogf] A091686 7.08317 [(100*x^4-120*x^3+42*x^2-14*x+1)/(10*x-1)^2/(x-1)^2 ogf] A091686 8.76228 [-2*(-4+55*x-30*x^2-440*x^3+500*x^4)/(x-1)/(10*x-1)/(100*x^4-120*x^3+42*x^2-14*x+1) lgdogf] A091691 10.0888 [-x*(-16+297*x-1329*x^2+1210*x^3)/(x-1)/(10*x-1)/(121*x^3-133*x^2+22*x-1) lgdogf] A091691 4.18845 [-(111405780*f(x)-645892309)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2+121*x^3-22*f(x)*x-133*x^2+f(x)+22*x-1) ogf] A091691 7.95335 [-(121*x^3-133*x^2+22*x-1)/(10*x-1)^2/(x-1)^2 ogf] A091692 3.45038 [(317119374*f(x)-1359297931)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-80*x^3-22*f(x)*x+99*x^2+f(x)-10*x) ogf] A091692 6.65134 [x*(80*x^2-99*x+10)/(10*x-1)^2/(x-1)^2 ogf] A091692 8.49046 [-(-121+1329*x-2970*x^2+1600*x^3)/(x-1)/(10*x-1)/(80*x^2-99*x+10) lgdogf] A091693 3.14691 [(10934943138*f(x)-51688017389)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2+110*x^3-22*f(x)*x-120*x^2+f(x)+20*x-1) ogf] A091693 5.97560 [-(110*x^3-120*x^2+20*x-1)/(10*x-1)^2/(x-1)^2 ogf] A091693 6.84561 [-2*(1-10*x-595*x^3+550*x^4+135*x^2)/(x-1)/(-1+10*x)/(110*x^3-120*x^2+20*x-1) lgdogf] A091695 17.2523 [-(-7+8*x+6*x^4-12*x^3-4*x^2)/(2*x+1)/(-1+x)^4 lgdegf] A091699 12.9241 [-1/2*(-3+3*x+(x^2+6*x+1)^(1/2))/(1-3*x+x^2)*x revogf] A091699 6.11164 [-f(x)^2*x^2-3*f(x)^2*x-2*f(x)^2+3*f(x)*x+3*f(x)-1 ogf] A091699 9.08724 [1/2*(-10*x^2-17*x-3+3*((1+x)*(5*x+1))^(1/2))/(x+2)/(5*x+1)/(1+x) lgdogf] A091701 4.72664 [-(10*f(x)+1)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1) ogf] A091701 9.17926 [-(x^2+x-1)/(x^4+2*x^3-3*x^2-4*x+1) ogf] A091701 9.70042 [-(2*x+1)*(x^4+2*x^3-x^2-2*x+3)/(x^2+x-1)/(x^4+2*x^3-3*x^2-4*x+1) lgdogf] A091702 4.80355 [(12*f(x)+5)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1) ogf] A091702 9.05019 [-(x^2+x-1)/(x^4+2*x^3-2*x^2-3*x+1) ogf] A091702 9.55605 [-(2*x+1)*(x^4+2*x^3-x^2-2*x+2)/(x^2+x-1)/(x^4+2*x^3-2*x^2-3*x+1) lgdogf] A091703 8.41443 [x*(x^8+2*x^7+3*x^6+4*x^5+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A091704 15.1430 [(1+4*x+9*x^8+11*x^10+5*x^4+3*x^2)/(2*x^2+2+x+x^5+x^3+x^11+x^9) lgdogf] A091712 3.82132 [{(4*n^2-6*n+2)*a(n+1)+(7*n^2+19*n+10)*a(n+2)+(-2*n^2-10*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=2} ogf] A091712 6.87064 [-x^4-2*f(x)*x^2-6*x^3-f(x)^2+10*f(x)*x-12*x^2+f(x)-8*x ogf] A091720 10.2141 [-(60172*f(x)-551025)*(f(x)*x^3+17*x^2-f(x)+34*x+8) ogf] A091720 11.7855 [{a(n+3)-a(n),a(0)=8,a(1)=34,a(2)=17} ogf] A091720 14.3149 [-(34+34*x+24*x^2+68*x^3+17*x^4)/(x-1)/(x^2+x+1)/(17*x^2+34*x+8) lgdogf] A091720 18.0248 [-(17*x^2+34*x+8)/(x-1)/(x^2+x+1) ogf] A091721 13.0993 [-(49*x^4+21*x^3+16*x^2+27*x+5)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A091721 7.70990 [-(27+32*x+42*x^7+49*x^8+108*x^5+48*x^6+196*x^3+25*x^4+63*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(49*x^4+21*x^3+16*x^2+27*x+5) lgdogf] A091722 14.3231 [-(23*x^2+32*x+4)/(x-1)/(x^2+1) ogf] A091722 14.5096 [-(36+38*x+23*x^4+64*x^3-43*x^2)/(x-1)/(x^2+1)/(23*x^2+32*x+4) lgdogf] A091722 6.88821 [-(2311287*f(x)+252670207)*(f(x)*x^3-f(x)*x^2+f(x)*x+23*x^2-f(x)+32*x+4) ogf] A091722 7.91539 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=4,a(1)=36,a(2)=55} ogf] A091753 3.53015 [{(9*n^3+81*n^2+236*n+224)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=60} ogf] A091761 11.1506 [-1/2*(-1-34*x+(32*x+1)^(1/2)*(36*x+1)^(1/2))/x revogf] A091761 11.4651 [-f(x)*x^2+34*f(x)*x-f(x)+x ogf] A091761 15.3308 [x/(x^2-34*x+1) ogf] A091761 22.3013 [-2*(-17+x)/(x^2+1-34*x) lgdogf] A091761 6.35667 [{a(n+2)-34*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A091773 5.58399 [-(x^2-x+1)*(x^4+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A091774 4.07049 [(x^4-x^3+x^2-x+1)*(x^4+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A091775 3.93689 [-(857731525*f(x)+3484488096)*(576*f(x)*x^4-820*f(x)*x^3+273*f(x)*x^2+2304*x^3-30*f(x)*x-2460*x^2+f(x)+546*x-30) ogf] A091775 7.36578 [-6*(384*x^3-410*x^2+91*x-5)/(x-1)/(4*x-1)/(9*x-1)/(16*x-1) ogf] A091814 3.34943 [{(48*n^2+216*n+240)*a(n+1)+(-14*n-39)*a(n+2)+a(n+3),a(0)=1,a(1)=11,a(2)=203} ogf] A091814 5.91992 [384*f(x)^2*x^3-160*f(x)^2*x^2+22*f(x)^2*x-f(x)^2+1 egf] A091823 13.2546 [(x^2-x-4)/(x-1)^3 ogf] A091823 30.5050 [-(-13+x^2)/(x-1)/(x^2-x-4) lgdogf] A091823 6.97009 [(496*f(x)-3505)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x+4) ogf] A091823 7.09239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=13,a(2)=26} ogf] A091848 5.96341 [-x^6*(x^17+x^11+x^6-x^4+x^3+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x+1)^2/(x-1)^3 ogf] A091870 14.8220 [-1/22*(-1-8*x+(1+16*x+20*x^2)^(1/2))/x revogf] A091870 16.8344 [x/(11*x^2-8*x+1) ogf] A091870 20.8606 [-2*(-4+11*x)/(11*x^2+1-8*x) lgdogf] A091870 6.98012 [{a(n+2)-8*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A091870 9.5395 [-11*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A091874 6.44157 [(800*x^6-550*x^5-160*x^4-66*x^3-21*x^2-7*x+1)/(10*x-1)/(x-1) ogf] A091875 6.71457 [(3-46*x+4275*x^4+312*x^3+3480*x^5+89*x^2)/(10*x-1)/(87*x^5+157*x^4+47*x^3+23*x^2+7*x-1) lgdogf] A091875 7.54620 [5*(87*x^5+157*x^4+47*x^3+23*x^2+7*x-1)/(10*x-1) ogf] A091876 3.77196 [(24988241072148225*f(x)-3800404046493457747)*(-1220*x^4+10*f(x)*x^2+1232*x^3-11*f(x)*x-32*x^2+f(x)+47*x-6) ogf] A091876 5.82817 [(19-56*x-3578*x^2+31984*x^3-52580*x^4+24400*x^5)/(x-1)/(10*x-1)/(1220*x^4-1232*x^3+32*x^2-47*x+6) lgdogf] A091876 7.30519 [(1220*x^4-1232*x^3+32*x^2-47*x+6)/(10*x-1)/(x-1) ogf] A091877 4.1695 [(5942015700*f(x)-298651084109)*(-270*x^4+10*f(x)*x^2+267*x^3-11*f(x)*x+14*x^2+f(x)+15*x-2) ogf] A091877 6.14773 [(7-68*x-497*x^2+6954*x^3-11580*x^4+5400*x^5)/(x-1)/(10*x-1)/(270*x^4-267*x^3-14*x^2-15*x+2) lgdogf] A091877 7.41845 [(270*x^4-267*x^3-14*x^2-15*x+2)/(10*x-1)/(x-1) ogf] A091881 10.8506 [-1/2*(-17*x-1+(225*x^2-10*x+1)^(1/2))/(11+16*x) revogf] A091881 10.8606 [-(11*x-1)/(16*x-1)/(x-1) ogf] A091881 12.1423 [-2*(3-16*x+88*x^2)/(x-1)/(11*x-1)/(16*x-1) lgdogf] A091881 5.3195 [-(1705*f(x)-1381)*(16*f(x)*x^2-17*f(x)*x+f(x)+11*x-1) ogf] A091881 6.20608 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=1,a(1)=6} ogf] A091882 10.9109 [-15*f(x)*x+f(x)+10*x-1 ogf] A091882 13.1490 [(10*x-1)/(15*x-1) ogf] A091882 13.1968 [3/4*x+1/20-1/20*(225*x^2-10*x+1)^(1/2) revogf] A091882 26.3936 [5/(15*x-1)/(10*x-1) lgdogf] A091882 7.02481 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=5} ogf] A091883 12.1618 [1/10*(-1-5*x+(225*x^2-10*x+1)^(1/2))/(-1+10*x) revogf] A091883 12.3538 [(5*x-1)/(5*x+1)/(10*x-1) ogf] A091883 14.3447 [-50*x*(-2+5*x)/(5*x+1)/(5*x-1)/(10*x-1) lgdogf] A091883 6.93021 [{-a(n+2)+5*a(n+1)+50*a(n),a(0)=1,a(1)=0} ogf] A091883 8.87932 [50*f(x)*x^2+5*f(x)*x-f(x)-5*x+1 ogf] A091903 14.7482 [1/100/x*(-1-5*x+(1+10*x+225*x^2)^(1/2)) revogf] A091903 15.3728 [-x/(5*x+1)/(10*x-1) ogf] A091903 20.5421 [-5*(1+20*x)/(1+5*x)/(10*x-1) lgdogf] A091903 7.12399 [{-a(n+2)+5*a(n+1)+50*a(n),a(0)=0,a(1)=1} ogf] A091903 9.73613 [-50*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A091904 10.3006 [-32*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A091904 16.2642 [-x/(4*x+1)/(8*x-1) ogf] A091904 16.4569 [1/64/x*(-1-4*x+(1+8*x+144*x^2)^(1/2)) revogf] A091904 22.5520 [-4*(1+16*x)/(4*x+1)/(8*x-1) lgdogf] A091904 7.53705 [{-a(n+2)+4*a(n+1)+32*a(n),a(0)=0,a(1)=1} ogf] A091905 12.6993 [(4*x-1)/(4*x+1)/(8*x-1) ogf] A091905 13.3763 [1/8*(-1-4*x+(1-8*x+144*x^2)^(1/2))/(-1+8*x) revogf] A091905 14.3795 [-64*(-1+2*x)*x/(4*x+1)/(-1+8*x)/(-1+4*x) lgdogf] A091905 7.12399 [{-a(n+2)+4*a(n+1)+32*a(n),a(0)=1,a(1)=0} ogf] A091905 9.12762 [32*f(x)*x^2+4*f(x)*x-f(x)-4*x+1 ogf] A091914 17.3323 [1/24/x*(-2*x-1+(1+4*x+52*x^2)^(1/2)) revogf] A091914 18.7207 [-1/(12*x^2+2*x-1) ogf] A091914 23.9986 [-2*(1+12*x)/(12*x^2-1+2*x) lgdogf] A091914 7.57744 [(19*f(x)-18)*(12*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A091914 7.66872 [{-a(n+2)+2*a(n+1)+12*a(n),a(0)=1,a(1)=2} ogf] A091915 12.7448 [-2*x*(x^4+2*x^2+x+1)/(3*x^3-1) ogf] A091915 12.9868 [(-1-4*x+3*x^6-6*x^4-10*x^3-9*x^2)/(3*x^3-1)/(x^4+2*x^2+x+1) lgdogf] A091915 8.54324 [-(5*f(x)+4)*(2*x^5+3*f(x)*x^3+4*x^3+2*x^2-f(x)+2*x) ogf] A091916 12.8867 [(-1-6*x-9*x^4-14*x^3+6*x^6-9*x^2)/(3*x^3-1)/(2*x^4+3*x^2+x+1) lgdogf] A091916 14.0550 [-(2*x^4+3*x^2+x+1)/(3*x^3-1) ogf] A091916 7.41793 [{a(n+5)-3*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=3,a(4)=5} ogf] A091919 13.6014 [-1/(2*x-1)/(x-1)^2/(x+1)^2 ogf] A091919 19.1084 [-2*(-1-2*x+5*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A091919 3.64078 [{(-n-4)*a(n+4)+(8+2*n)*a(n+3)+(6+n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=12} ogf] A091927 12.7193 [(6*x-1)/(5*x^2+6*x-1) ogf] A091927 13.0985 [1/2/(-6+5*x)*(-1-6*x+(1-12*x+56*x^2)^(1/2)) revogf] A091927 15.6455 [-10*x*(-1+3*x)/(6*x-1)/(5*x^2+6*x-1) lgdogf] A091927 7.06630 [{-a(n+2)+6*a(n+1)+5*a(n),a(0)=1,a(1)=0} ogf] A091927 9.08524 [5*f(x)*x^2+6*f(x)*x-f(x)-6*x+1 ogf] A091928 12.5821 [(x-1)/(5*x^2+6*x-1) ogf] A091928 13.5173 [1/2/(5*x-1)*(-1-6*x+(1+8*x+56*x^2)^(1/2)) revogf] A091928 15.8346 [-5*(-1-2*x+x^2)/(x-1)/(5*x^2+6*x-1) lgdogf] A091928 6.50797 [(54*f(x)-29)*(5*f(x)*x^2+6*f(x)*x-f(x)-x+1) ogf] A091928 6.90479 [{-a(n+2)+6*a(n+1)+5*a(n),a(0)=1,a(1)=5} ogf] A091929 13.3694 [(6*x-1)/(11*x^2+6*x-1) ogf] A091929 13.7695 [1/2/(-6+11*x)*(-1-6*x+(1-12*x+80*x^2)^(1/2)) revogf] A091929 16.8294 [-22*x*(3*x-1)/(6*x-1)/(11*x^2+6*x-1) lgdogf] A091929 7.49991 [{-a(n+2)+6*a(n+1)+11*a(n),a(0)=1,a(1)=0} ogf] A091929 9.60927 [11*f(x)*x^2+6*f(x)*x-f(x)-6*x+1 ogf] A091940 21.4016 [-3*(x+1)*(7*x+3)/(x-1)/(7*x^2+4*x+1) lgdogf] A091940 3.92566 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-27+3*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=0,a(1)=2,a(2)=18,a(3)=84} ogf] A091940 9.30008 [-2*x*(7*x^2+4*x+1)/(x-1)^5 ogf] A091962 3.78291 [{(2*n^3+27*n^2+121*n+180)*a(n+1)+(28*n^2+196*n+420)*a(n+2)+(-2*n^3-15*n^2-37*n-30)*a(n+3),a(0)=0,a(1)=1,a(2)=42} ogf] A091962 4.10658 [-x*(x^6+31*x^5+187*x^4+330*x^3+187*x^2+31*x+1)/(x-1)^11 ogf] A091962 7.43180 [-(42+684*x+192*x^5+5*x^6+3388*x^3+1464*x^4+2673*x^2)/(x-1)/(x^6+31*x^5+187*x^4+330*x^3+187*x^2+31*x+1) lgdogf] A091964 5.98961 [f(x)^2*x^3-3*f(x)^2*x^2+f(x)^2*x+f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A091971 6.95145 [-x^2*(-x^4+6*x^3+10*x^2+4*x+x^12+2*x^9+7*x^6+10*x^7+5*x^8-2*x^5+3)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1) lgdogf] A091971 8.36894 [-(x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A091972 11.6337 [-x^2*(4*x^4-3*x^3+7*x^2+x+2*x^6-2*x^5+3)/(x-1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1) lgdogf] A091972 21.3460 [(1/x^6+1/x^7+1/x^5-1)*x^9 ogf_with_Euler_transform] A091972 9.53425 [(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A091973 4.69482 [-(x^10-x^9+2*x^8+2*x^6+x^5+2*x^4+2*x^2-x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A091993 13.8176 [-4*(-7+135*x)/(20*x-1)/(18*x-1) lgdegf] A091993 2.79367 [{(360*n^2+1620*n+1800)*a(n+1)+(-38*n-104)*a(n+2)+a(n+3),a(0)=1,a(1)=28,a(2)=1308} ogf] A091993 4.98416 [-6480*f(x)^2*x^3+1044*f(x)^2*x^2-56*f(x)^2*x+f(x)^2-1 egf] A091994 14.4492 [-(-29+540*x)/(20*x-1)/(18*x-1) lgdegf] A091994 2.82634 [{(360*n^2+1620*n+1800)*a(n+1)+(-38*n-105)*a(n+2)+a(n+3),a(0)=1,a(1)=29,a(2)=1403} ogf] A091994 5.04246 [7200*f(x)^2*x^3-1120*f(x)^2*x^2+58*f(x)^2*x-f(x)^2+1 egf] A091998 13.5693 [(x^2+10*x+1)/(x+1)/(x-1)^2 ogf] A091998 17.9391 [-(11+15*x+x^3+21*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A091998 7.31564 [(27*f(x)+344)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-10*x-1) ogf] A091998 7.37981 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=13} ogf] A091999 13.7918 [2*(x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A091999 19.6475 [-(5+9*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A091999 7.37981 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=10,a(2)=14} ogf] A091999 7.51159 [(4*f(x)+19)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-8*x-2) ogf] A092038 12.3226 [-(x^4-x^3-1)/(x-1)^2/(x^2+1) ogf] A092038 15.4796 [-(-2+2*x+x^5-3*x^4+5*x^3-7*x^2)/(x-1)/(x^2+1)/(x^4-x^3-1) lgdogf] A092038 5.55278 [{-a(n+5)+2*a(n+4)-2*a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=3,a(4)=4} ogf] A092038 6.71306 [(6*f(x)+29)*(f(x)*x^4-2*f(x)*x^3+x^4+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-1) ogf] A092055 5.51163 [{-a(n+3)+14*a(n+2)-56*a(n+1)+64*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A092055 8.25225 [-4*(1-18*x-320*x^3+320*x^4+118*x^2)/(-1+4*x)/(2*x-1)/(8*x-1)/(20*x^2-10*x+1) lgdogf] A092055 8.37244 [-64*f(x)*x^3+56*f(x)*x^2-14*f(x)*x-20*x^2+f(x)+10*x-1 ogf] A092055 9.68711 [-(20*x^2-10*x+1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A092076 11.0748 [-(x^6+4*x^3+1)/(x^2+x+1)^2/(x-1)^3 ogf] A092076 11.9020 [-(1+x+x^8+x^6+22*x^5+4*x^4+4*x^3+x^7+19*x^2)/(x-1)/(x^2+x+1)/(x^6+4*x^3+1) lgdogf] A092084 6.16438 [(-36*n-78)*a(n+1)+(12*n+31)*a(n+2)+(-n-3)*a(n+3),a(0)=8,a(1)=49,a(2)=595/2 lgdegf] A092085 7.00444 [(-36*n-78)*a(n+1)+(12*n+31)*a(n+2)+(-n-3)*a(n+3),a(0)=6,a(1)=35,a(2)=413/2 lgdegf] A092086 11.3167 [x*(1+4*x)*(19*x^2+8*x+1)*(43*x^2+8*x+1)/(7*x+1)^6 revogf] A092087 11.5525 [x*(2*x+1)*(7*x^2+4*x+1)*(31*x^2+4*x+1)/(1+5*x)^6 revogf] A092091 14.8140 [-2*(x^2+4*x+1)*(5*x^2-x+2)/(x-1)/(x+1)/(x^3+3*x^2-x+1) lgdogf] A092091 5.12060 [-(x^3+3*x^2-x+1)/(x+1)^4/(x-1)^9 ogf] A092092 14.2643 [(x^3+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A092092 19.0562 [-(1+9*x^2+5*x^3+3*x^5)/(x-1)/(x^2+x+1)/(x^3+x+1) lgdogf] A092093 10.4502 [(2*x^6+x^5+3*x^3+x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A092093 8.58161 [-(2+2*x+9*x^2+15*x^4+30*x^5+8*x^6+21*x^7+5*x^9+8*x^10)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^6+x^5+3*x^3+x^2+2*x+1) lgdogf] A092094 7.57906 [-(6*x^6-3*x^5-2*x^4-13*x^3+6*x^2+5*x+7)/(x^2+x+1)^2/(x-1)^3 ogf] A092094 8.79291 [-3*(4+8*x-x^6-7*x^5+5*x^3+2*x^8+7*x^2)/(x-1)/(6*x^6-3*x^5-2*x^4-13*x^3+6*x^2+5*x+7)/(x^2+x+1) lgdogf] A092096 6.34494 [-(10*x^10-5*x^9-3*x^7-x^6-21*x^5+10*x^4+8*x^2+x+11)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A092130 13.4887 [-(-x^7+x^6+x^3)/(x^6-1) ogf_with_Euler_transform] A092135 3.48788 [(8255484896886647*f(x)-68730278075946)*(3888*f(x)*x^4-38664*f(x)*x^3+4584*f(x)*x^2-154*f(x)*x+1728*x^2+f(x)-1080*x) ogf] A092135 7.18588 [-216*x*(8*x-5)/(12*x^2-118*x+1)/(-1+18*x)^2 ogf] A092145 4.08592 [{(80*n^2+360*n+400)*a(n+1)+(-18*n-49)*a(n+2)+a(n+3),a(0)=1,a(1)=13,a(2)=283} ogf] A092145 7.22163 [-640*f(x)^2*x^3+224*f(x)^2*x^2-26*f(x)^2*x+f(x)^2-1 egf] A092164 12.4489 [-(6*x+1)/(x+1)/(6*x-1) ogf] A092164 13.3712 [1/12*(-1-5*x+(1+34*x+49*x^2)^(1/2))/(1+x) revogf] A092164 14.0569 [-(11+12*x+36*x^2)/(6*x-1)/(6*x+1)/(1+x) lgdogf] A092164 6.4391 [(67*f(x)+54)*(6*f(x)*x^2+5*f(x)*x-f(x)+6*x+1) ogf] A092164 6.74942 [{a(n+2)-5*a(n+1)-6*a(n),a(0)=1,a(1)=11} ogf] A092165 14.8167 [1/12/x*(-2-5*x+(4+20*x+49*x^2)^(1/2)) revogf] A092165 22.8986 [-2/(x+1)/(6*x-1) ogf] A092165 23.8356 [-(5+12*x)/(1+x)/(6*x-1) lgdogf] A092165 8.68568 [-(37*f(x)-24)*(6*f(x)*x^2+5*f(x)*x-f(x)+2) ogf] A092165 9.10425 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=2,a(1)=10} ogf] A092166 14.8998 [1/12/x*(-5-5*x+(25+50*x+49*x^2)^(1/2)) revogf] A092166 17.5205 [-5/(x+1)/(6*x-1) ogf] A092166 24.6171 [-(5+12*x)/(x+1)/(6*x-1) lgdogf] A092166 6.6457 [(1111*f(x)-2430)*(6*f(x)*x^2+5*f(x)*x-f(x)+5) ogf] A092166 6.96598 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=5,a(1)=25} ogf] A092167 12.8484 [-2*(3*x+2)/(x+1)/(6*x-1) ogf] A092167 13.4808 [1/12*(-5*x-4+(49*x^2+64*x+16)^(1/2))/(1+x) revogf] A092167 14.5178 [-(13+24*x+18*x^2)/(6*x-1)/(3*x+2)/(x+1) lgdogf] A092167 6.6457 [(89*f(x)-18)*(6*f(x)*x^2+5*f(x)*x-f(x)+6*x+4) ogf] A092167 6.96598 [{a(n+2)-5*a(n+1)-6*a(n),a(0)=4,a(1)=26} ogf] A092170 3.20364 [{(-n^2-8*n-16)*a(n+1)+(-n^2-8*n-15)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=33} ogf] A092181 13.8630 [-6*(x+1)*(3*x^2+23*x+4)/(x-1)/(9*x^3+43*x^2+19*x+1) lgdogf] A092181 3.69679 [{(-791*n^2-4736*n-7089)*a(n+1)+(760*n^2+1352*n+1080)*a(n+2)+(31*n^2+96*n+9)*a(n+3),a(0)=1,a(1)=24,a(2)=153} ogf] A092181 8.09971 [-(9*x^3+43*x^2+19*x+1)/(x-1)^5 ogf] A092182 11.2059 [-2*(60+587*x+107*x^3+696*x^2)/(x-1)/(107*x^3+357*x^2+115*x+1) lgdogf] A092182 7.49496 [-(107*x^3+357*x^2+115*x+1)/(x-1)^5 ogf] A092183 6.89747 [-(543*x^3+1993*x^2+595*x+1)/(x-1)^5 ogf] A092183 9.77430 [-6*(100+1061*x+181*x^3+1268*x^2)/(x-1)/(543*x^3+1993*x^2+595*x+1) lgdogf] A092184 13.5303 [-x*(x+1)/(x-1)/(x^2-4*x+1) ogf] A092184 18.1271 [-2*(3-5*x+x^3-x^2)/(x-1)/(x+1)/(x^2-4*x+1) lgdogf] A092184 6.94799 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A092184 7.20772 [(6*f(x)+1)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+x^2-f(x)+x) ogf] A092185 11.4382 [x*(x^2-2*x+6)/(x-1)^4 ogf] A092185 24.9607 [-2*(11-2*x+x^2)/(x-1)/(x^2-2*x+6) lgdogf] A092185 4.19591 [{(18+6*n)*a(n+4)+(-38-8*n)*a(n+3)+(7+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=6,a(2)=22,a(3)=53} ogf] A092185 6.09479 [(440*f(x)+587)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-6*x) ogf] A092200 16.9453 [(2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A092200 20.9760 [-3*(x+1)*(2*x^2+1)/(x-1)/(2*x+1)/(x^2+x+1) lgdogf] A092200 5.41025 [{(3*n+13)*a(n+1)+3*a(n+2)+3*a(n+3)+(-3*n-10)*a(n+4),a(0)=1,a(1)=3,a(2)=3,a(3)=4} ogf] A092200 8.09099 [-(207*f(x)+820)*(f(x)*x^4-f(x)*x^3-f(x)*x+f(x)-2*x-1) ogf] A092202 10.7399 [x*(x+1)/(x^4+x^3+x^2+x+1) ogf] A092202 23.2698 [-x*(2+3*x^3+6*x^2+4*x)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A092202 27.8663 [[x^4-x] ogf_with_Euler_transform] A092202 5.58475 [(f(x)+2)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x-x^2+f(x)-x) ogf] A092220 10.3264 [(f(x)-1)*(f(x)*x^3+x^2+f(x)-x) ogf] A092220 16.2928 [-x*(x-1)/(x+1)/(x^2-x+1) ogf] A092220 25.2231 [x^5-x^2-1 ogf_with_Euler_transform] A092220 25.8053 [-(-1+2*x^3-3*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A092220 9.77567 [{-a(n+3)-a(n),a(0)=0,a(1)=1,a(2)=-1} ogf] A092221 10.7248 [(7*x^4+36*x^3+59*x^2+51*x+22)/(x-1)^2/(x^2+x+1)^2 ogf] A092221 8.43754 [-(51+118*x+14*x^6+108*x^5+236*x^4+283*x^3+240*x^2)/(x-1)/(x^2+x+1)/(7*x^4+36*x^3+59*x^2+51*x+22) lgdogf] A092222 10.7232 [(4*x^4+37*x^3+67*x^2+62*x+29)/(x-1)^2/(x^2+x+1)^2 ogf] A092222 8.52586 [-(62+134*x+111*x^5+8*x^6+326*x^3+268*x^4+285*x^2)/(x-1)/(x^2+x+1)/(4*x^4+37*x^3+67*x^2+62*x+29) lgdogf] A092223 10.3885 [(16*x^4+66*x^3+101*x^2+84*x+34)/(x-1)^2/(x^2+x+1)^2 ogf] A092223 8.13343 [-2*(42+101*x+16*x^6+99*x^5+202*x^4+242*x^3+201*x^2)/(x-1)/(x^2+x+1)/(16*x^4+66*x^3+101*x^2+84*x+34) lgdogf] A092226 10.3228 [(9*x^4+83*x^3+149*x^2+139*x+65)/(x-1)^2/(x^2+x+1)^2 ogf] A092226 8.08268 [-(139+298*x+596*x^4+731*x^3+18*x^6+249*x^5+639*x^2)/(x-1)/(x^2+x+1)/(9*x^4+83*x^3+149*x^2+139*x+65) lgdogf] A092227 6.94041 [(23*x^8+47*x^7+101*x^6+125*x^5+157*x^4+133*x^3+109*x^2+55*x+31)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A092228 10.0571 [(74*x^4+190*x^3+233*x^2+158*x+42)/(x-1)^2/(x^2+x+1)^2 ogf] A092228 7.83724 [-2*(79+233*x+74*x^6+285*x^5+466*x^4+543*x^3+411*x^2)/(x-1)/(x^2+x+1)/(74*x^4+190*x^3+233*x^2+158*x+42) lgdogf] A092229 7.60512 [-2*(105+257*x+507*x^2+617*x^3+514*x^4+261*x^5+46*x^6)/(x-1)/(x^2+x+1)/(46*x^4+174*x^3+257*x^2+210*x+82) lgdogf] A092229 9.85758 [(46*x^4+174*x^3+257*x^2+210*x+82)/(x-1)^2/(x^2+x+1)^2 ogf] A092236 12.3287 [-(2*x-1)^2/(3*x-1)/(3*x^2-3*x+1) ogf] A092236 13.9057 [-(-2+12*x+18*x^3-27*x^2)/(3*x-1)/(2*x-1)/(3*x^2-3*x+1) lgdogf] A092236 6.58945 [-(3*f(x)+5)*(9*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A092236 6.76440 [{a(n+3)-6*a(n+2)+12*a(n+1)-9*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A092242 13.7918 [(5*x^2+2*x+5)/(x+1)/(x-1)^2 ogf] A092242 17.5574 [-(7+27*x+5*x^3+9*x^2)/(x-1)/(x+1)/(5*x^2+2*x+5) lgdogf] A092242 7.12965 [-(27*f(x)+424)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-2*x-5) ogf] A092242 7.44512 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=7,a(2)=17} ogf] A092259 13.7918 [4*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A092259 20.6299 [-(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A092259 33.5013 [-x^2+x+2 ogf_with_Euler_transform] A092259 7.44512 [(5*f(x)+172)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-4*x-4) ogf] A092259 7.44512 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=8,a(2)=16} ogf] A092263 10.5948 [(x^2+x+1)/(x-1)/(x^2+1)/(x^2+x-1) ogf] A092263 11.3763 [-(-3+3*x^6+4*x^5+4*x^4-2*x^3)/(x-1)/(x^2+x+1)/(x^2+x-1)/(x^2+1) lgdogf] A092264 4.68580 [-(3*x^11+5*x^10+9*x^9+17*x^8-19*x^7-23*x^6-25*x^5-27*x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+5*x^2-1)/(x^4-5*x^2-1) ogf] A092270 11.6150 [-(18*x^3+4*x^2-2*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x+1) ogf] A092270 7.83921 [-2*(1+9*x+324*x^6+144*x^5+9*x^4-72*x^3-14*x^2)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x+1)/(18*x^3+4*x^2-2*x-1) lgdogf] A092270 9.63192 [36*f(x)*x^4-13*f(x)*x^2+18*x^3+4*x^2+f(x)-2*x-1 ogf] A092277 14.4252 [-2*x*(3*x+4)/(x-1)^3 ogf] A092277 33.7841 [-3*(2*x+5)/(3*x+4)/(x-1) lgdogf] A092277 7.14991 [(15043*f(x)-75702)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+8*x) ogf] A092277 7.34142 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=30} ogf] A092278 12.9414 [x^4*(x^11+x^6+1)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A092279 8.54441 [-(4*x^16-x^14-x^12-x^10-x^7-x^5-x^3-5)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A092286 10.2531 [x*(3*x^2-8*x+6)/(x-1)^4 ogf] A092286 20.4776 [-2*(8-9*x+3*x^2)/(x-1)/(3*x^2-8*x+6) lgdogf] A092286 5.23412 [-(111*f(x)-15167)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+8*x^2+f(x)-6*x) ogf] A092295 13.1284 [-(-x^4+x^3+x^2-x+1)/(x-1) ogf_with_Euler_transform] A092297 16.4161 [1/4*(-6-x+(12+4*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A092297 18.4693 [-6*x/(2*x-1)/(x+1) ogf] A092297 30.5937 [-(4*x+1)/(x+1)/(2*x-1) lgdogf] A092297 8.43659 [(f(x)+6)*(2*f(x)*x^2+f(x)*x-f(x)+6*x) ogf] A092297 8.43659 [{-a(n+2)+a(n+1)+2*a(n),a(0)=0,a(1)=6} ogf] A092312 2.38787 [(f(x)-1)^2 ogf] A092327 14.6542 [-(-61+92*x+10*x^3-51*x^2)/(x-1)/(5*x^3-22*x^2+34*x-19) lgdogf] A092327 4.03176 [{(-167*n^2-1805*n-2942)*a(n+1)+(422*n^2+4480*n+9060)*a(n+2)+(-255*n^2-2323*n-3626)*a(n+3),a(0)=0,a(1)=19,a(2)=61} ogf] A092327 8.53532 [x*(5*x^3-22*x^2+34*x-19)/(x-1)^5 ogf] A092352 13.8225 [-(2+2*x+15*x^5+6*x^4+6*x^3+17*x^2)/(x-1)/(3*x^3+1)/(x^2+x+1) lgdogf] A092352 8.71130 [(3*x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A092353 13.0695 [-(2+2*x+11*x^2+2*x^3+2*x^4+5*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A092353 29.6921 [-x^5+3*x^2+2 ogf_with_Euler_transform] A092353 8.92085 [(x+1)*(x^2-x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A092364 23.0689 [-3*(x+9)*(x+1)/(x-1)/(x^2+7*x+4) lgdogf] A092364 3.74478 [{(12+4*n)*a(n+4)+(-21+3*n)*a(n+3)+(-36-6*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=4,a(2)=27,a(3)=96} ogf] A092364 9.02357 [-x*(x^2+7*x+4)/(x-1)^5 ogf] A092365 16.1258 [-4*(2+6*x+6*x^2+x^3)/(x-1)/(2*x^3+6*x^2+3*x+1) lgdogf] A092365 4.24788 [{(2*n^2+12*n+18)*a(n+1)+(-n^2+6*n+24)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=8,a(2)=36} ogf] A092365 8.69107 [-(2*x^3+6*x^2+3*x+1)/(x-1)^5 ogf] A092385 8.05969 [2*(5-3*x+630*x^6-1170*x^7+540*x^8+3*x^4-7*x^3+3*x^2)/(x-1)/(180*x^8-180*x^7+3*x^4-2*x^3+6*x^2-6*x-2) lgdogf] A092385 9.23427 [-(180*x^8-180*x^7+3*x^4-2*x^3+6*x^2-6*x-2)/(x-1)^2 ogf] A092387 10.5254 [-(9-32*x+4*x^4-22*x^3+43*x^2)/(x-1)/(x^2-3*x+1)/(4*x^2-11*x+5) lgdogf] A092387 10.7381 [-(4*x^2-11*x+5)/(x-1)/(x^2-3*x+1) ogf] A092387 5.45704 [-(1755*f(x)+4099)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-11*x+5) ogf] A092387 5.89168 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=5,a(1)=9,a(2)=20} ogf] A092396 3.33735 [{(-n^3-8*n^2-21*n-18)*a(n+1)+(n^3+12*n^2+48*n+64)*a(n+2)+(-2-n)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=-1,a(2)=-4,a(3)=9} ogf] A092414 3.82440 [8*x^2*(1440*x^2+24*x-1)/(50*x-1)/(48*x-1)/(64*x-1)/(60*x-1)/(54*x-1) ogf] A092420 14.7222 [-1/(x-1)/(x^2-9*x+1) ogf] A092420 16.5408 [-(10-20*x+3*x^2)/(x-1)/(x^2-9*x+1) lgdogf] A092420 4.94971 [{a(n+3)-10*a(n+2)+10*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=90} ogf] A092420 5.57442 [(226*f(x)-1)*(f(x)*x^3-10*f(x)*x^2+10*f(x)*x-f(x)+1) ogf] A092431 13.1096 [-(-9+56*x+80*x^3-118*x^2)/(x-1)/(4*x-1)/(2*x-1)/(5*x-2) lgdogf] A092431 13.5908 [(5*x-2)/(x-1)/(2*x-1)/(4*x-1) ogf] A092431 6.43776 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=2,a(1)=9,a(2)=35} ogf] A092431 6.73306 [(243*f(x)-2116)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)-5*x+2) ogf] A092438 4.8142 [(17*f(x)-5)*(6*f(x)*x^4-5*f(x)*x^3-5*f(x)*x^2+6*x^3+5*f(x)*x-4*x^2-f(x)+2*x) ogf] A092438 8.14525 [-(3-4*x+44*x^3+36*x^5-51*x^4-20*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(3*x^2-2*x+1) lgdogf] A092438 8.83704 [-2*x*(3*x^2-2*x+1)/(x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A092439 4.95606 [2*x^2*(6*x^4-26*x^3+25*x^2-12*x+3)/(x+1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A092439 5.46925 [-(15-70*x+76*x^3-594*x^6+726*x^5-389*x^4+108*x^7+80*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(6*x^4-26*x^3+25*x^2-12*x+3) lgdogf] A092440 5.39084 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A092440 5.43856 [(27*f(x)-2)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A092440 9.12143 [-(5-20*x-32*x^3+32*x^4+24*x^2)/(x-1)/(2*x-1)/(4*x-1)/(4*x^2-2*x+1) lgdogf] A092440 9.91219 [-(4*x^2-2*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A092441 5.90664 [-(8*x^4-2*x^2+x-1)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A092441 6.63871 [-2*(-5+25*x+58*x^3+64*x^6+24*x^5-100*x^4-39*x^2)/(x-1)/(2*x-1)/(4*x-1)/(8*x^4-2*x^2+x-1) lgdogf] A092442 10.4226 [-(5-12*x-10*x^3+16*x^4+7*x^2)/(2*x-1)/(x-1)/(4*x^3-3*x^2+2*x-1) lgdogf] A092442 7.24701 [x*(4*x^3-3*x^2+2*x-1)/(2*x-1)^2/(x-1)^3 ogf] A092443 3.22766 [{(-8*n^2-36*n-40)*a(n+1)+(6*n^2+38*n+60)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=3,a(1)=12,a(2)=50} ogf] A092443 3.43651 [64*f(x)^2*x^4-48*f(x)^2*x^3+12*f(x)^2*x^2+128*f(x)*x^3-f(x)^2*x-96*f(x)*x^2+24*f(x)*x+64*x^2-2*f(x)-39*x+6 ogf] A092444 4.7974 [(35*f(x)-11)*(f(x)*x^3-12*f(x)*x^2+12*f(x)*x+7*x^2-f(x)-11*x+1) ogf] A092444 4.88157 [{-a(n+3)+12*a(n+2)-12*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A092444 8.64637 [-(1-10*x-22*x^3+7*x^4+51*x^2)/(x-1)/(7*x^2-11*x+1)/(x^2-11*x+1) lgdogf] A092444 8.69530 [-(7*x^2-11*x+1)/(x-1)/(x^2-11*x+1) ogf] A092451 16.1180 [2*(-2-10*x^19+9*x^20+5*x^9-4*x^10)/(x-1)/(x^20-x^10+2) lgdogf] A092464 13.8578 [(4*x^2+5*x+4)/(x+1)/(x-1)^2 ogf] A092464 17.2755 [-(9+25*x+4*x^3+14*x^2)/(x-1)/(x+1)/(4*x^2+5*x+4) lgdogf] A092464 7.41512 [(11*f(x)-177)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-5*x-4) ogf] A092464 7.48074 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=9,a(2)=17} ogf] A092467 10.8478 [-(-3+10*x+16*x^3-24*x^2)/(2*x-1)/(8*x^3-12*x^2+7*x-1) lgdogf] A092467 5.15174 [(29*f(x)-19)*(8*f(x)*x^3-12*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A092467 5.15174 [{a(n+3)-7*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A092467 9.47255 [-(2*x-1)^2/(8*x^3-12*x^2+7*x-1) ogf] A092472 3.8596 [-648*f(x)^2*x^3+225*f(x)^2*x^2-26*f(x)^2*x+72*f(x)*x^2+f(x)^2-17*f(x)*x-81*x^2+f(x)+25*x-2 ogf] A092474 3.18982 [-(126*x^8+30*x^6+4*x^2+3)/(x-1) ogf] A092476 11.5610 [-(3+15*x+16*x^3+4*x^5+16*x^4+24*x^2)/(x-1)/(x^2+x+1)/(4*x^3+6*x^2+2*x+1) lgdogf] A092476 12.2990 [(4*x^3+6*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A092476 5.14322 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=14} ogf] A092476 7.07194 [(f(x)-36)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-6*x^2+f(x)-2*x-1) ogf] A092486 13.0160 [(3*x^2-4*x+3)/(x-1)^2/(x^2+1) ogf] A092486 15.7320 [-2*(1-2*x-6*x^3+3*x^4+8*x^2)/(x-1)/(x^2+1)/(3*x^2-4*x+3) lgdogf] A092486 4.58215 [{(n+4)*a(n+1)+(-n-3)*a(n+2)+(n+4)*a(n+3)+(-n-3)*a(n+4),a(0)=3,a(1)=2,a(2)=1,a(3)=4} ogf] A092486 6.65259 [-(29*f(x)+74)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-3*x^2+f(x)+4*x-3) ogf] A092489 5.26308 [-(-4+20*x-x^8-12*x^7+44*x^3+9*x^6-8*x^5-20*x^4+2*x^9-40*x^2)/(x^4+x^3-x^2+2*x-1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) lgdogf] A092489 5.65725 [x^2*(x^4+x^3-x^2+2*x-1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) ogf] A092490 6.03724 [-(5-20*x+3*x^8-4*x^7-46*x^3-21*x^6+14*x^5+12*x^4+35*x^2)/(x^3+x^2-x+1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) lgdogf] A092490 6.36549 [-x^3*(x^3+x^2-x+1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) ogf] A092491 10.0976 [-x^4/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) ogf] A092491 9.12932 [-(6-22*x-16*x^3+6*x^5-20*x^4+27*x^2)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) lgdogf] A092492 7.75262 [x^5*(x-1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) ogf] A092492 7.79178 [-(-5+22*x+34*x^3+5*x^6-22*x^5+8*x^4-38*x^2)/(x-1)/(x^6-4*x^5-4*x^4+9*x^3-11*x^2+6*x-1) lgdogf] A092493 7.26502 [-(x^4+x^3-x^2+2*x-1)/(x^5-x^4-3*x^3+4*x^2-4*x+1) ogf] A092493 7.44341 [-(2-6*x+x^8+2*x^7-4*x^3-x^6+2*x^5+10*x^2)/(x^4+x^3-x^2+2*x-1)/(x^5-x^4-3*x^3+4*x^2-4*x+1) lgdogf] A092498 14.1581 [-(4+10*x+11*x^3+8*x^4+15*x^2)/(x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A092498 9.67340 [(2*x^2+x+1)/(x^2+x+1)/(x-1)^4 ogf] A092499 11.2712 [-1/2*(-21*x-1+(19*x+1)^(1/2)*(23*x+1)^(1/2))/x revogf] A092499 15.4993 [x/(x^2-21*x+1) ogf] A092499 22.5425 [-(-21+2*x)/(x^2+1-21*x) lgdogf] A092499 6.42655 [{a(n+2)-21*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A092499 8.78296 [-f(x)*x^2+21*f(x)*x-f(x)+x ogf] A092508 5.45453 [(x^12-x^6+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A092521 15.6264 [-1/(x-1)/(x^2-7*x+1) ogf] A092521 17.1574 [-(8-16*x+3*x^2)/(x-1)/(x^2-7*x+1) lgdogf] A092521 5.11660 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=56} ogf] A092521 5.61336 [(1131*f(x)-11)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A092530 15.6549 [-2*(-2-7*x-x^3+x^4-3*x^2)/(x-1)/(x+1)/(x^3-x^2-2*x-2) lgdogf] A092530 9.45702 [x*(x^3-x^2-2*x-2)/(x+1)^2/(x-1)^3 ogf] A092531 4.93157 [(x^8-x^6+x^4-x^2+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A092531 7.63656 [-(1+x+8*x^3-7*x^5+x^4+24*x^7-14*x^9+x^10+15*x^11-6*x^13+x^14+7*x^15)/(x-1)/(x+1)/(1+x^2)/(1+x^4)/(x^8-x^6+x^4-x^2+1) lgdogf] A092532 12.4148 [-1/(x^4+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A092532 14.5045 [-(1+x+x^2+5*x^3+x^4+x^5+x^6+13*x^7)/(1+x^4)/(1+x^2)/(x-1)/(x+1) lgdogf] A092532 32.0090 [x^7+x^3+1 ogf_with_Euler_transform] A092533 13.2568 [(-1-x-5*x^3-x^2-8*x^7-x^8-x^9-x^10+3*x^11)/(x-1)/(x+1)/(1+x^2)/(1+x^8) lgdogf] A092533 16.5861 [(x^8+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A092533 24.8054 [-x^15+x^7+x^3+1 ogf_with_Euler_transform] A092534 10.2765 [-(x^2-x+1)*(x^4+1)/(x+1)/(x-1)^3 ogf] A092534 11.9083 [(-1-4*x-6*x^3-3*x^6-4*x^5+3*x^4+x^2+2*x^7)/(x-1)/(x+1)/(x^2-x+1)/(1+x^4) lgdogf] A092534 17.7468 [-x^7-x^5+x^3+x^2+2*x+1 ogf_with_Euler_transform] A092535 13.3312 [(x^2-x+1)*(x^2+1)/(x-1)^2 ogf] A092535 18.0595 [(-1-3*x-5*x^3+2*x^4+3*x^2)/(x-1)/(1+x^2)/(x^2-x+1) lgdogf] A092535 22.3566 [-x^5-x^3+x^2+2*x+1 ogf_with_Euler_transform] A092535 7.30042 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=4,a(4)=6} ogf] A092535 8.06888 [-(3*f(x)+10)*(-x^4+f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)+x-1) ogf] A092550 12.1428 [-(x^4+x^2+x+1)/(x^6+2*x^3-1) ogf] A092550 9.92154 [-(1+2*x+8*x^3+2*x^9+4*x^7+3*x^6+6*x^5+2*x^4+6*x^2)/(x^4+x^2+x+1)/(x^6+2*x^3-1) lgdogf] A092563 4.64531 [{(-8*n^2-24*n-18)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A092566 5.09587 [-27*f(x)^3*x^4+14*f(x)^3*x^3-9*f(x)^3*x^2-14*f(x)^3*x+5*f(x)^3+3*f(x)*x-4*f(x)-1 ogf] A092690 17.1711 [-2*(-1-x+3*x^2)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A092690 3.39457 [{(n+4)*a(n+4)+(-14-4*n)*a(n+3)+n*a(n+2)+(12+6*n)*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=22} ogf] A092690 6.82485 [27*f(x)^2*x^4-18*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+4*x^2-4*x+1 ogf] A092691 3.61668 [{(n+2)*a(n+1)+(-n-2)*a(n+2)+(-n-4)*a(n+3)+(n+4)*a(n+4),a(0)=0,a(1)=0,a(2)=1/2,a(3)=1/2} egf] A092749 6.09690 [-(24*x^16+6*x^10+6*x^4+2*x^2+x+2)/(x-1) ogf] A092765 10.4996 [-16*x-36*x^2+(2-144*x^3+4*x^2)*f(x)+(-4*x-144*x^4+23*x^2+8*x^3)*f(x)^2 lgdogf] A092794 10.9344 [-(21-184*x+1280*x^3+112*x^2)/(4*x-1)/(8*x-1)/(4*x+1)/(5*x-1) lgdogf] A092794 11.7201 [-(4*x+1)/(4*x-1)/(8*x-1)/(5*x-1) ogf] A092794 5.61385 [(1052943*f(x)-1059760)*(160*f(x)*x^3-92*f(x)*x^2+17*f(x)*x-f(x)+4*x+1) ogf] A092794 5.61385 [{a(n+3)-17*a(n+2)+92*a(n+1)-160*a(n),a(0)=1,a(1)=21,a(2)=265} ogf] A092795 6.50334 [(318*x^3+187*x^2-24*x-1)/(9*x-1)/(6*x-1)/(7*x-1)/(5*x-1)/(16*x-1) ogf] A092796 3.78975 [-(132960*x^5+145292*x^4-17528*x^3-1227*x^2+122*x+1)/(10*x-1)/(6*x-1)/(11*x-1)/(32*x-1)/(8*x-1)/(17*x-1)/(7*x-1) ogf] A092803 12.3766 [-(5*x-1)/(6*x-1)/(2*x-1) ogf] A092803 12.9569 [-1/2*(-1-8*x+(1-4*x+16*x^2)^(1/2))/(5+12*x) revogf] A092803 13.5890 [-3*(1-8*x+20*x^2)/(6*x-1)/(2*x-1)/(5*x-1) lgdogf] A092803 6.32584 [-(4*f(x)+5)*(12*f(x)*x^2-8*f(x)*x+f(x)+5*x-1) ogf] A092803 6.85934 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=1,a(1)=3} ogf] A092804 10.3209 [-10*(1+2000*x^3+300*x^2)/(10*x+1)/(10*x-1)/(100*x^2+10*x+1) lgdogf] A092804 13.3258 [-(10*x+1)/(10*x-1)/(100*x^2+10*x+1) ogf] A092804 7.59066 [{-a(n+3)+1000*a(n),a(0)=1,a(1)=10,a(2)=0} ogf] A092804 8.44595 [(f(x)-3)*(1000*f(x)*x^3-f(x)+10*x+1) ogf] A092805 4.37081 [(40040053*f(x)+1360030)*(1000*f(x)*x^4-1000*f(x)*x^3-f(x)*x+f(x)-10*x-1) ogf] A092805 6.92168 [-(-11-16000*x^3+30000*x^4-3000*x^2)/(x-1)/(10*x+1)/(10*x-1)/(100*x^2+10*x+1) lgdogf] A092805 8.96015 [(10*x+1)/(10*x-1)/(x-1)/(100*x^2+10*x+1) ogf] A092806 10.8127 [(9*x+1)*(x-1)/(11*x-1)/(91*x^2+8*x+1) ogf] A092806 5.62613 [(70810*f(x)-325107)*(1001*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+8*x+1) ogf] A092806 5.91465 [{-a(n+3)+3*a(n+2)-3*a(n+1)+1001*a(n),a(0)=1,a(1)=11,a(2)=21} ogf] A092806 8.83157 [-(-11+24*x-16016*x^3+9009*x^4-3006*x^2)/(x-1)/(11*x-1)/(9*x+1)/(91*x^2+8*x+1) lgdogf] A092807 10.3739 [(4*x^2-6*x+1)/(6*x-1)/(2*x-1) ogf] A092807 11.9133 [2*(1-8*x+20*x^2)/(2*x-1)/(6*x-1)/(4*x^2-6*x+1) lgdogf] A092807 5.43876 [{a(n+3)-8*a(n+2)+12*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A092807 7.78045 [-12*f(x)*x^2+8*f(x)*x+4*x^2-f(x)-6*x+1 ogf] A092808 12.0243 [(x^2-x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A092808 12.9090 [-x*(-6-8*x^2+4*x^3-15*x)/(2*x+1)/(2*x-1)/(x+1)/(x^2-x-1) lgdogf] A092808 6.16372 [-(484*f(x)+245)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x-x^2-f(x)+x+1) ogf] A092808 6.60795 [{a(n+3)+a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A092809 10.0039 [-(1+8*x-16*x^3+8*x^5-12*x^4+5*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2-x-1) lgdogf] A092809 13.6724 [-(x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A092809 7.9523 [-(2*f(x)+55)*(4*f(x)*x^4-5*f(x)*x^2+x^2+f(x)-x-1) ogf] A092810 15.7639 [-9*f(x)*x+f(x)+3*x-1 ogf] A092810 16.4542 [1/6+3/2*x-1/6*(1+6*x+81*x^2)^(1/2) revogf] A092810 19.1722 [(3*x-1)/(9*x-1) ogf] A092810 32.9084 [6/(9*x-1)/(3*x-1) lgdogf] A092810 9.85240 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=6} ogf] A092811 13.3144 [-8*f(x)*x+f(x)+4*x-1 ogf] A092811 16.1931 [(4*x-1)/(8*x-1) ogf] A092811 22.5832 [1/8+x-1/8*(1+64*x^2)^(1/2) revogf] A092811 34.5390 [4/(8*x-1)/(4*x-1) lgdogf] A092811 8.32147 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=4} ogf] A092812 4.80296 [{a(n+3)-20*a(n+2)+64*a(n+1),a(0)=1,a(1)=4,a(2)=40} ogf] A092812 4.89623 [-(-13+45*f(x))*(64*f(x)*x^2-20*f(x)*x-24*x^2+f(x)+16*x-1) ogf] A092812 8.84756 [(24*x^2-16*x+1)/(16*x-1)/(4*x-1) ogf] A092812 9.66625 [4*(1-20*x+136*x^2)/(4*x-1)/(16*x-1)/(24*x^2-16*x+1) lgdogf] A092833 15.3736 [-(-x^24+x^22+1)/(x^2-1) ogf_with_Euler_transform] A092841 10.7614 [-(11-42*x+16*x^3+24*x^2)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1) lgdogf] A092841 5.11621 [(603*f(x)-616)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+4*x^2-f(x)+4*x+1) ogf] A092841 5.16070 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=11,a(2)=67} ogf] A092841 9.57226 [-(2*x+1)^2/(x-1)/(2*x-1)/(4*x-1) ogf] A092846 18.2111 [1331-363*f(x)+33*f(x)^2-f(x)^3 lgdegf] A092848 16.5319 [-(-x^2+1)/(x^4+x^2+1) ogf_with_Euler_transform] A092869 18.3950 [-(x^2-1)/(-x^4-1) ogf_with_Euler_transform] A092870 3.19105 [{(-1728*n^2-4320*n-2652)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=60} ogf] A092877 99.9999 Evaluated at exp(-Pi) 1/16*exp(Pi) A092880 10.1300 [-(14*x^2-7*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A092880 5.68704 [(f(x)-1)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+14*x^2-f(x)-7*x+1) ogf] A092880 5.68704 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A092880 8.70699 [-2*(1-12*x-168*x^3+168*x^4+64*x^2)/(3*x-1)/(2*x-1)/(4*x-1)/(14*x^2-7*x+1) lgdogf] A092881 4.33940 [-(4752*x^5-3852*x^4+1396*x^3-269*x^2+26*x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A092886 12.7513 [x/(x^4-x^3-2*x^2-x+1) ogf] A092886 15.8434 [-(-1-4*x+4*x^3-3*x^2)/(-2*x^2+1-x+x^4-x^3) lgdogf] A092886 5.58528 [-(2*f(x)+3)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-x) ogf] A092896 11.1842 [(-1-40*x^3+16*x^4+16*x^2)/(x-1)/(4*x-1)/(4*x^3-4*x^2+4*x-1) lgdogf] A092896 12.0176 [-(4*x^3-4*x^2+4*x-1)/(4*x-1)/(x-1) ogf] A092896 6.37454 [{-a(n+4)+5*a(n+3)-4*a(n+2),a(0)=1,a(1)=1,a(2)=5,a(3)=17} ogf] A092896 6.91577 [-(27*f(x)-7)*(4*f(x)*x^2+4*x^3-5*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A092897 11.7317 [(3*x^3+x^2+x-1)/(3*x-1)/(x+1)^2 ogf] A092897 13.4639 [4*x*(2+3*x^2-3*x)/(3*x-1)/(x+1)/(3*x^3+x^2+x-1) lgdogf] A092897 6.17928 [{-a(n+4)+a(n+3)+5*a(n+2)+3*a(n+1),a(0)=1,a(1)=0,a(2)=4,a(3)=4} ogf] A092897 8.34521 [3*f(x)*x^3+5*f(x)*x^2-3*x^3+f(x)*x-x^2-f(x)-x+1 ogf] A092898 12.3897 [(4*x^3-4*x^2+4*x-1)/(4*x-1) ogf] A092898 14.3777 [4*x*(2+8*x^2-7*x)/(4*x-1)/(4*x^3-4*x^2+4*x-1) lgdogf] A092898 6.84012 [{-a(n+4)+4*a(n+3),a(0)=1,a(1)=0,a(2)=4,a(3)=12} ogf] A092898 7.54771 [-(f(x)-1)*(-4*x^3+4*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A092899 12.3049 [(2*x+1)*(3*x^2+1)/(x+1)/(x-1)^2 ogf] A092899 16.0167 [-(3+11*x+9*x^3+25*x^2)/(x-1)/(2*x+1)/(x+1)/(3*x^2+1) lgdogf] A092899 6.38376 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15} ogf] A092899 6.79233 [-(-53+84*f(x))*(f(x)*x^3-f(x)*x^2-6*x^3-f(x)*x-3*x^2+f(x)-2*x-1) ogf] A092900 10.4630 [(2*x^3-9*x^2+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A092900 6.39968 [-(f(x)-1)*(10*f(x)*x^4-11*f(x)*x^2-2*x^3+9*x^2+f(x)-1) ogf] A092900 8.11601 [-2*x*(-2+20*x^2+10*x^5-90*x^4+11*x^3-3*x)/(x-1)/(x+1)/(10*x^2-1)/(2*x^3-9*x^2+1) lgdogf] A092907 6.87471 [-90*x^9+90*x^8+2 ogf_with_Euler_transform] A092924 99.9999 Evaluated at exp(-Pi) -15*Pi^2/GAMMA(3/4)^8 A092936 10.0375 [-(x-1)/(x+1)/(x^2-11*x+1) ogf] A092936 11.5000 [-(9+20*x+2*x^3-13*x^2)/(x-1)/(x+1)/(x^2-11*x+1) lgdogf] A092936 4.75915 [{-a(n+3)+10*a(n+2)+10*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=100} ogf] A092936 4.8855 [(470871*f(x)-6803)*(f(x)*x^3-10*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A092942 8.27513 [-x*(x+1)*(x^3-2*x^2-1)/(x-1)^2/(x^2+x+1)^2 ogf] A092956 10.3884 [1/8*((x^2+6*x+1)^(1/2)*x+(x^2+6*x+1)^(1/2)-1-4*x+x^2)/x^2 revegf] A092956 4.60667 [{(4*n^3+34*n^2+96*n+90)*a(n+1)+(-n^2-6*n-8)*a(n+2),a(0)=1,a(1)=8} ogf] A092966 10.7953 [x*(x^2+12*x+10)/(x-1)^4 ogf] A092966 22.1849 [-2*(26+19*x+x^2)/(x-1)/(x^2+12*x+10) lgdogf] A092966 3.96886 [{(30+10*n)*a(n+4)+(-48+2*n)*a(n+3)+(-49-11*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=10,a(2)=52,a(3)=149} ogf] A092966 5.39765 [(57963588*f(x)+474473203)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-12*x^2+f(x)-10*x) ogf] A092984 9.81478 [(x^23-x^22+x^12-x^11+x^7-x^6+x^5-x^3-1)/(x-1) ogf] A093005 10.9308 [-(2*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A093005 17.9504 [-2*(1+5*x+3*x^3+3*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A093031 10.1154 [-x*(x+1)*(2*x^21-2*x^20-2*x^15+2*x^14-2*x^13+2*x^12-2*x^11-1)/(x-1)^2 ogf] A093031 6.32484 [(3+x+22*x^10-28*x^16-18*x^11+32*x^15+40*x^22-44*x^21-36*x^20+40*x^19)/(x-1)/(x+1)/(2*x^21-2*x^20-2*x^15+2*x^14-2*x^13+2*x^12-2*x^11-1) lgdogf] A093033 10.0701 [(x^3+34*x^2+55*x+6)/(x-1)^4 ogf] A093033 16.2752 [-(79+233*x+x^3+71*x^2)/(x-1)/(x^3+34*x^2+55*x+6) lgdogf] A093033 5.0034 [(3006062592*f(x)+121235215105)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-34*x^2+f(x)-55*x-6) ogf] A093040 13.4331 [-(x+1)/(x^2+x+1)/(x^2+x-1) ogf] A093040 14.4429 [-(1+2*x+8*x^3+3*x^4+7*x^2)/(x+1)/(x^2+x+1)/(x^2+x-1) lgdogf] A093040 7.08967 [-(36*f(x)+7)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2-f(x)+x+1) ogf] A093041 3.45125 [{(2*n+12)*a(n+1)+(-3*n-17)*a(n+2)+(3*n+17)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A093041 4.8366 [-(8*f(x)+17)*(4*f(x)*x^4-8*f(x)*x^3+9*f(x)*x^2+3*x^3-5*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A093041 8.91945 [-(x-1)*(3*x^2-3*x+1)/(x^2-x+1)/(2*x-1)^2 ogf] A093041 9.09543 [-(-1+4*x+24*x^3+6*x^5-21*x^4-13*x^2)/(x-1)/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A093042 10.1410 [-x*(2*x^2-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A093042 5.19029 [(19*f(x)-67)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+2*x^3-f(x)*x+f(x)-x) ogf] A093042 9.40986 [-(1+10*x-16*x^3+16*x^5-4*x^4+8*x^2)/(4*x^2+2*x-1)/(2*x^2-1)/(x^2-x-1) lgdogf] A093043 10.4723 [-(-3-14*x+8*x^3+24*x^4-20*x^2)/(2*x+1)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A093043 5.24697 [-f(x)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-2*x^3-f(x)*x-x^2+f(x)) ogf] A093043 9.50539 [x^2*(2*x+1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A093044 4.67495 [-(f(x)+7)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+2*x^3-f(x)*x+5*x^2+f(x)+x-1) ogf] A093044 8.43221 [-2*x*(2-8*x^2+4*x^5+20*x^4+8*x^3-x)/(4*x^2+2*x-1)/(x^2-x-1)/(2*x^3+5*x^2+x-1) lgdogf] A093044 8.56062 [-(2*x^3+5*x^2+x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A093045 10.6439 [-(-2-14*x+12*x^3+12*x^4-13*x^2)/(x+1)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A093045 4.93136 [-(9*f(x)+5)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-2*x^3-f(x)*x-2*x^2+f(x)) ogf] A093045 9.50539 [2*x^2*(x+1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A093058 3.77386 [(413*x^8+1254*x^7+2124*x^6+2965*x^5+3481*x^4+3009*x^3+2168*x^2+1298*x+457)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A093069 10.3181 [-(23-164*x-416*x^3+128*x^4+420*x^2)/(x-1)/(2*x-1)/(4*x-1)/(16*x^2-26*x+7) lgdogf] A093069 11.9702 [-(16*x^2-26*x+7)/(x-1)/(2*x-1)/(4*x-1) ogf] A093069 6.43775 [(647*f(x)+1936)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+16*x^2-f(x)-26*x+7) ogf] A093069 6.66168 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=7,a(1)=23,a(2)=79} ogf] A093085 10.2070 [-(2*x^4+x^3+x+2)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] A093085 99.9999 Evaluated at exp(-Pi) 2*exp(-1/2*Pi)*2^(1/4)*(2+2^(1/2))^(1/2) A093103 14.7222 [1/42/x*(-1-8*x+(1+16*x+148*x^2)^(1/2)) revogf] A093103 16.8006 [-1/(21*x^2+8*x-1) ogf] A093103 21.5171 [-2*(4+21*x)/(21*x^2-1+8*x) lgdogf] A093103 6.49115 [-(53*f(x)-21)*(21*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A093103 6.88218 [{-a(n+2)+8*a(n+1)+21*a(n),a(0)=1,a(1)=8} ogf] A093112 10.5634 [-(-7+4*x-224*x^3+128*x^4+108*x^2)/(x-1)/(2*x-1)/(4*x-1)/(16*x^2-14*x+1) lgdogf] A093112 11.8696 [(16*x^2-14*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A093112 6.17605 [-(647*f(x)-4672)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-16*x^2-f(x)+14*x-1) ogf] A093112 6.66365 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=-1,a(1)=7,a(2)=47} ogf] A093117 12.0642 [-(7*x+1)/(21*x^2+8*x-1) ogf] A093117 12.3498 [1/14*(-1-8*x+(1+44*x+148*x^2)^(1/2))/(1+3*x) revogf] A093117 13.2534 [-3*(5+14*x+49*x^2)/(7*x+1)/(21*x^2+8*x-1) lgdogf] A093117 6.60656 [{a(n+2)-8*a(n+1)-21*a(n),a(0)=1,a(1)=15} ogf] A093117 8.02305 [(18*f(x)+7)*(21*f(x)*x^2+8*f(x)*x-f(x)+7*x+1) ogf] A093119 11.3958 [-(68+36*x-6*x^3+x^4+21*x^2)/(x-1)/(x^4-5*x^3+12*x^2+3*x+13) lgdogf] A093119 7.07440 [-(x^4-5*x^3+12*x^2+3*x+13)/(x-1)^5 ogf] A093121 4.65787 [-(25*f(x)+52)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-f(x)*x+3*x^2+f(x)+x-1) ogf] A093121 9.11323 [-(3*x^2+x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A093121 9.37938 [-2*x*(4-10*x^2+12*x^4+3*x^3+x)/(3*x^2+x-1)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A093122 10.1482 [-(-2-14*x+12*x^3+12*x^4-13*x^2)/(x+1)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A093122 4.8001 [-(83*f(x)+17)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-f(x)*x-x^2+f(x)-x) ogf] A093122 9.67405 [x*(x+1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A093123 13.2793 [-(6*x-1)/(20*x^2-10*x+1) ogf] A093123 13.9079 [-1/4*(-1-10*x+(1-4*x+20*x^2)^(1/2))/(3+10*x) revogf] A093123 14.5702 [-4*(1-10*x+30*x^2)/(6*x-1)/(20*x^2-10*x+1) lgdogf] A093123 6.78399 [-(5*f(x)+11)*(20*f(x)*x^2-10*f(x)*x+f(x)+6*x-1) ogf] A093123 7.43008 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=1,a(1)=4} ogf] A093128 8.43215 [f(x)^2*x^4-f(x)*x^4+f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A093129 14.0200 [-(3*x-1)/(5*x^2-5*x+1) ogf] A093129 15.0738 [-1/2*(-1-5*x+(1-2*x+5*x^2)^(1/2))/(3+5*x) revogf] A093129 16.2638 [-(2-10*x+15*x^2)/(3*x-1)/(5*x^2-5*x+1) lgdogf] A093129 7.01 [-(5*f(x)+11)*(5*f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A093129 7.69390 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=1,a(1)=2} ogf] A093130 14.5178 [2*x/(20*x^2-10*x+1) ogf] A093130 15.0596 [-1/20*(-1-5*x+(1+10*x+5*x^2)^(1/2))/x revogf] A093130 20.6373 [-10*(4*x-1)/(20*x^2+1-10*x) lgdogf] A093130 6.82160 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=0,a(1)=2} ogf] A093130 9.28186 [-20*f(x)*x^2+10*f(x)*x-f(x)+2*x ogf] A093131 12.904 [-5*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A093131 17.1384 [-1/10*(-1-5*x+(1+10*x+5*x^2)^(1/2))/x revogf] A093131 19.5084 [x/(5*x^2-5*x+1) ogf] A093131 26.4216 [-5*(2*x-1)/(5*x^2-5*x+1) lgdogf] A093131 7.94785 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A093132 12.0453 [-1/4*(-1-10*x+((1+2*x)*(1+10*x))^(1/2))/(1+10*x) revogf] A093132 12.5566 [-(2*x-1)/(20*x^2-10*x+1) ogf] A093132 14.4544 [-8*(5*x^2-5*x+1)/(2*x-1)/(20*x^2+1-10*x) lgdogf] A093132 6.48527 [(145*f(x)+111)*(20*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A093132 7.02570 [{-a(n+2)+10*a(n+1)-20*a(n),a(0)=1,a(1)=8} ogf] A093133 12.5020 [-(7*x-1)/(20*x^2-10*x+1) ogf] A093133 13.0776 [-1/2*(-1-10*x+(1-8*x+20*x^2)^(1/2))/(7+20*x) revogf] A093133 14.0345 [-(3-40*x+140*x^2)/(7*x-1)/(20*x^2+1-10*x) lgdogf] A093133 6.99514 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=1,a(1)=3} ogf] A093133 9.03989 [-20*f(x)*x^2+10*f(x)*x-f(x)-7*x+1 ogf] A093134 13.8695 [(7*x-1)/(x+1)/(8*x-1) ogf] A093134 14.3022 [1/2/(-7+8*x)*(-1-7*x+(1-14*x+81*x^2)^(1/2)) revogf] A093134 17.5712 [-8*x*(-2+7*x)/(8*x-1)/(7*x-1)/(x+1) lgdogf] A093134 7.70527 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=1,a(1)=0} ogf] A093134 9.90678 [8*f(x)*x^2+7*f(x)*x-f(x)-7*x+1 ogf] A093135 12.1536 [-(8*x-1)/(10*x-1)/(x-1) ogf] A093135 12.7146 [-1/4*(-1-11*x+(1-10*x+81*x^2)^(1/2))/(4+5*x) revogf] A093135 14.3447 [-(3-20*x+80*x^2)/(x-1)/(8*x-1)/(10*x-1) lgdogf] A093135 6.01285 [-(439*f(x)-358)*(10*f(x)*x^2-11*f(x)*x+f(x)+8*x-1) ogf] A093135 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=3} ogf] A093136 12.4179 [-10*f(x)*x+f(x)+8*x-1 ogf] A093136 14.7222 [1/16+5/8*x-1/16*(1-12*x+100*x^2)^(1/2) revogf] A093136 15.0321 [(8*x-1)/(10*x-1) ogf] A093136 31.0802 [2/(10*x-1)/(8*x-1) lgdogf] A093136 7.82495 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=2} ogf] A093137 12.1536 [-(7*x-1)/(10*x-1)/(x-1) ogf] A093137 12.7146 [-1/2*(-1-11*x+(1-6*x+81*x^2)^(1/2))/(7+10*x) revogf] A093137 13.6450 [-2*(2-10*x+35*x^2)/(x-1)/(7*x-1)/(10*x-1) lgdogf] A093137 6.01285 [-(249*f(x)-185)*(10*f(x)*x^2-11*f(x)*x+f(x)+7*x-1) ogf] A093137 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=4} ogf] A093138 12.4179 [-10*f(x)*x+f(x)+7*x-1 ogf] A093138 15.0321 [(7*x-1)/(10*x-1) ogf] A093138 15.1201 [1/14+5/7*x-1/14*(1-8*x+100*x^2)^(1/2) revogf] A093138 31.0802 [3/(10*x-1)/(7*x-1) lgdogf] A093138 7.82495 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=3} ogf] A093140 12.1536 [-(6*x-1)/(10*x-1)/(x-1) ogf] A093140 13.0103 [-1/4*(-1-11*x+(1-2*x+81*x^2)^(1/2))/(3+5*x) revogf] A093140 13.9861 [-5*(1-4*x+12*x^2)/(x-1)/(6*x-1)/(10*x-1) lgdogf] A093140 6.14216 [-(71*f(x)-46)*(10*f(x)*x^2-11*f(x)*x+f(x)+6*x-1) ogf] A093140 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=5} ogf] A093141 12.4179 [-10*f(x)*x+f(x)+6*x-1 ogf] A093141 15.0321 [(6*x-1)/(10*x-1) ogf] A093141 15.1201 [1/12+5/6*x-1/12*(1-4*x+100*x^2)^(1/2) revogf] A093141 31.0802 [4/(10*x-1)/(6*x-1) lgdogf] A093141 7.82495 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=4} ogf] A093142 12.1536 [-(5*x-1)/(10*x-1)/(x-1) ogf] A093142 12.7146 [-1/10*(-1-11*x+(1+2*x+81*x^2)^(1/2))/(1+2*x) revogf] A093142 13.6450 [-2*(3-10*x+25*x^2)/(x-1)/(5*x-1)/(10*x-1) lgdogf] A093142 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=6} ogf] A093142 8.36208 [-(347*f(x)-185)*(10*f(x)*x^2-11*f(x)*x+f(x)+5*x-1) ogf] A093143 12.4179 [-10*f(x)*x+f(x)+5*x-1 ogf] A093143 15.0321 [(5*x-1)/(10*x-1) ogf] A093143 19.2912 [1/10+x-1/10*(1+100*x^2)^(1/2) revogf] A093143 31.0802 [5/(10*x-1)/(5*x-1) lgdogf] A093143 7.82495 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=5} ogf] A093144 12.0930 [-1/100*(-1-20*x+(1+40*x+200*x^2)^(1/2))/x revogf] A093144 14.4089 [x/(50*x^2-20*x+1) ogf] A093144 18.3634 [-20*(5*x-1)/(50*x^2+1-20*x) lgdogf] A093144 6.07604 [{a(n+2)-20*a(n+1)+50*a(n),a(0)=0,a(1)=1} ogf] A093144 8.26741 [-50*f(x)*x^2+20*f(x)*x-f(x)+x ogf] A093145 10.032 [-20*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A093145 15.4568 [-1/40*(-1-10*x+(1+20*x+20*x^2)^(1/2))/x revogf] A093145 17.4843 [x/(20*x^2-10*x+1) ogf] A093145 22.3265 [-10*(4*x-1)/(20*x^2+1-10*x) lgdogf] A093145 7.37288 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=0,a(1)=1} ogf] A093146 10.7903 [-1/10*(-1-20*x+(1-20*x+200*x^2)^(1/2))/(3+10*x) revogf] A093146 10.8016 [-(15*x-1)/(50*x^2-20*x+1) ogf] A093146 11.5260 [-5*(1-20*x+150*x^2)/(15*x-1)/(50*x^2+1-20*x) lgdogf] A093146 5.63563 [-(2*f(x)-1)*(50*f(x)*x^2-20*f(x)*x+f(x)+15*x-1) ogf] A093146 6.17235 [{a(n+2)-20*a(n+1)+50*a(n),a(0)=1,a(1)=5} ogf] A093147 11.5740 [-1/10*(-1-20*x+(1+20*x+200*x^2)^(1/2))/(1+10*x) revogf] A093147 11.8151 [-(5*x-1)/(50*x^2-20*x+1) ogf] A093147 12.9518 [-5*(3-20*x+50*x^2)/(5*x-1)/(50*x^2+1-20*x) lgdogf] A093147 6.03598 [-(82*f(x)-1)*(50*f(x)*x^2-20*f(x)*x+f(x)+5*x-1) ogf] A093147 6.53305 [{a(n+2)-20*a(n+1)+50*a(n),a(0)=1,a(1)=15} ogf] A093148 11.2647 [{-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A093148 11.9433 [(f(x)+6)*(f(x)*x^4+3*x^3+x^2-f(x)+x+1) ogf] A093148 13.1443 [-(1+2*x+4*x^3+3*x^6+2*x^5+3*x^4+9*x^2)/(x-1)/(x+1)/(x^2+1)/(3*x^3+x^2+x+1) lgdogf] A093148 17.3911 [-(3*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A093160 13.7436 [-(-4*x^2-4*x-4)/(-x^4+1) ogf_with_Euler_transform] A093160 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi) A093175 5.25699 [(12954*f(x)-661)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x+4*x^2-f(x)+3*x+1) ogf] A093175 9.45851 [-(4+10*x+6*x^3+2*x^6+8*x^5+11*x^4+8*x^2)/(x+1)/(2*x^2+2*x+1)/(x^4+x^3+x^2+x-1) lgdogf] A093175 9.76299 [-(x+1)*(2*x^2+2*x+1)/(x^4+x^3+x^2+x-1) ogf] A093178 14.5966 [(x^3-x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A093178 18.6192 [-(1+2*x-2*x^3+x^4+6*x^2)/(x-1)/(x+1)/(x^3-x^2+x+1) lgdogf] A093178 9.03596 [-(6*f(x)-5)*(f(x)*x^4-2*f(x)*x^2-x^3+x^2+f(x)-x-1) ogf] A093196 5.24698 [-(x+1)*(x^4+20*x^3+70*x^2+20*x+1)/(x-1)^7 ogf] A093196 8.13530 [-2*(14+153*x+222*x^3+x^5+34*x^4+360*x^2)/(x-1)/(x+1)/(x^4+20*x^3+70*x^2+20*x+1) lgdogf] A093197 10.3541 [-24+100*x+(4-36*x+80*x^2)*f(x)+(-8*x^2+16*x^3+x)*f(x)^2 lgdegf] A093197 11.1662 [1/3*3^(1/3)*(3^(1/3)*(x+1/3)^(1/3)-1)/(x+1/3)^(2/3) revegf] A093197 5.09481 [{(4*n^2+30*n+56)*a(n+1)+(-n-6)*a(n+2),a(0)=1,a(1)=6} ogf] A093198 7.54040 [-(x^2+3*x+1)*(x^2+4*x+1)/(x+1)/(x-1)^5 ogf] A093198 9.38774 [-(11+62*x+88*x^3+2*x^5+25*x^4+112*x^2)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2+4*x+1) lgdogf] A093216 6.04345 [4800*x*(20480000*x^3-2053550*x^2-1425*x+201)/(100*x-1)/(10*x-1) ogf] A093220 7.12335 [f(x)*(1000*f(x)*x^2-110*f(x)*x-10000*x^2+f(x)-800*x) ogf] A093230 14.8943 [900*x/(100*x-1)/(10*x-1) ogf] A093230 7.38183 [-10*(-11+200*x)/(100*x-1)/(10*x-1) lgdogf] A093230 7.44714 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=0,a(1)=900} ogf] A093230 9.92952 [-1000*f(x)*x^2+110*f(x)*x-f(x)+900*x ogf] A093232 3.05573 [-4*x*(2760000000*x^4-1423600000*x^3+127419000*x^2-1335490*x-241)/(100*x-1)/(10*x-1) ogf] A093248 3.35191 [-(7360025259174560500*f(x)+102461752456503084703689)*(929280000*x^4+1000*f(x)*x^2-98716800*x^3-110*f(x)*x+3840*x^2+f(x)-96*x) ogf] A093248 6.55317 [-96*x*(9680000*x^3-1028300*x^2+40*x-1)/(100*x-1)/(10*x-1) ogf] A093255 4.25061 [55*x*(1000000*x^5-1000000*x^4+189900*x^3-77900*x^2-12009*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1) ogf] A093260 10.9225 [600*x*(50*x+1)/(100*x-1)/(10*x-1) ogf] A093260 5.85132 [{a(n+3)-110*a(n+2)+1000*a(n+1),a(0)=0,a(1)=600,a(2)=96000} ogf] A093260 7.12335 [f(x)*(1000*f(x)*x^2-110*f(x)*x-30000*x^2+f(x)-600*x) ogf] A093270 14.8943 [700*x/(100*x-1)/(10*x-1) ogf] A093270 7.44714 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=0,a(1)=700} ogf] A093270 9.92952 [-1000*f(x)*x^2+110*f(x)*x-f(x)+700*x ogf] A093275 10.6454 [75*x*(20*x+1)/(100*x-1)/(10*x-1) ogf] A093275 5.61305 [{a(n+3)-110*a(n+2)+1000*a(n+1),a(0)=0,a(1)=75,a(2)=9750} ogf] A093275 6.86039 [f(x)*(1000*f(x)*x^2-110*f(x)*x-1500*x^2+f(x)-75*x) ogf] A093280 4.71473 [-(305346105*f(x)-102598447888)*(4000000*x^4+1000*f(x)*x^2-1040000*x^3-110*f(x)*x+f(x)-800*x) ogf] A093280 8.62300 [-800*x*(5000*x^3-1300*x^2-1)/(100*x-1)/(10*x-1) ogf] A093296 5.45240 [-8*x*(12337200000*x^4-1240813000*x^3-15490*x^2+599*x-12)/(100*x-1)/(10*x-1) ogf] A093302 20.8996 [(-5+4*x^2)/(2*x-1)/(2*x+1) lgdegf] A093303 3.50529 [{(2*n^2+9*n+9)*a(n+1)+(-2*n^2-10*n-13)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=10} ogf] A093322 4.56416 [(3700760690*f(x)+46277026973)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+28*x^3+f(x)*x+18*x^2-f(x)+7*x+1) ogf] A093322 8.42145 [-(8+38*x-38*x^3+28*x^6+36*x^5+11*x^4+76*x^2)/(28*x^3+18*x^2+7*x+1)/(x^4+x^3+x^2+x-1) lgdogf] A093322 9.12833 [-(28*x^3+18*x^2+7*x+1)/(x^4+x^3+x^2+x-1) ogf] A093328 13.0021 [-(5*x^2-4*x+3)/(x-1)^3 ogf] A093328 22.8744 [-(5+2*x+5*x^2)/(x-1)/(5*x^2-4*x+3) lgdogf] A093328 7.01885 [(17*f(x)-15)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-4*x+3) ogf] A093328 7.01886 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=5,a(2)=11} ogf] A093344 3.54607 [{(n^2+4*n+4)*a(n+1)+(-n^2-8*n-14)*a(n+2)+(2*n+8)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=17} ogf] A093353 10.7249 [-(x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A093353 18.8358 [-(3+13*x+3*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+2) lgdogf] A093356 11.3226 [(4*x^2-10*x+3)/(4*x-1)/(2*x-1) ogf] A093356 13.0191 [8*(1-5*x+7*x^2)/(2*x-1)/(4*x-1)/(4*x^2-10*x+3) lgdogf] A093356 5.93613 [{a(n+3)-6*a(n+2)+8*a(n+1),a(0)=3,a(1)=8,a(2)=28} ogf] A093356 6.05368 [-(85*f(x)+257)*(8*f(x)*x^2-6*f(x)*x-4*x^2+f(x)+10*x-3) ogf] A093357 10.8317 [1/4*ln(2*x+1)+1/2*arctanh((6*x+4)^(1/2))-1/2*arctanh(2) revegf] A093357 12.3500 [-4*x*(x-1)/(4*x-1)/(2*x-1) ogf] A093357 16.1012 [-(5-16*x+8*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A093357 5.93284 [{a(n+3)-6*a(n+2)+8*a(n+1),a(0)=0,a(1)=4,a(2)=20} ogf] A093357 7.11942 [-f(x)*(8*f(x)*x^2-6*f(x)*x+4*x^2+f(x)-4*x) ogf] A093361 6.46870 [-(x^6-7*x^4+2*x^3-x^2-2*x-1)/(x+1)^3/(x-1)^4 ogf] A093361 9.04514 [-(-3-11*x+x^7-31*x^3+x^6-15*x^5+x^4-7*x^2)/(x-1)/(x+1)/(x^6-7*x^4+2*x^3-x^2-2*x-1) lgdogf] A093374 13.3894 [-(5-14*x+2*x^3+11*x^2)/(2*x-1)/(x^3+2*x^2-3*x+1) lgdogf] A093374 5.27465 [(32*f(x)+239)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-x^3-8*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A093374 9.42844 [(x^3+2*x^2-3*x+1)/(2*x-1)^4 ogf] A093379 10.1504 [-x*(2*x^2+2*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A093379 5.03646 [{-a(n+4)+4*a(n+3)-a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A093379 5.94393 [-f(x)*(6*f(x)*x^3+f(x)*x^2+2*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A093379 9.99660 [-2*(1-3*x+12*x^3+6*x^4-4*x^2)/(3*x-1)/(2*x-1)/(x+1)/(2*x^2+2*x-1) lgdogf] A093380 5.20224 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=6,a(2)=14,a(3)=22} ogf] A093380 5.76115 [(7*f(x)+73)*(2*f(x)*x^3-f(x)*x^2+10*x^3-2*f(x)*x-x^2+f(x)-4*x-1) ogf] A093380 9.90383 [-2*(3+2*x+12*x^3+4*x^4-17*x^2)/(x-1)/(2*x-1)/(x+1)/(10*x^3-x^2-4*x-1) lgdogf] A093380 9.95857 [-(10*x^3-x^2-4*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A093381 4.12565 [-(8821*f(x)+96274)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+4*x^3-10*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A093381 6.27098 [-2*(4-38*x-108*x^3+48*x^6+72*x^5-73*x^4+119*x^2)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(4*x^3+3*x^2+2*x-1) lgdogf] A093381 7.74195 [-(4*x^3+3*x^2+2*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A093387 13.9719 [-2*(x-1+6*x^2+(-(2*x-1)*(2*x+1))^(1/2))/x/(2*x+1)/(2*x-1) lgdogf] A093387 4.07873 [{(-8*n-24)*a(n+1)+(4*n+12)*a(n+2)+(2*n+12)*a(n+3)+(-n-6)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A093387 5.95192 [4*f(x)^2*x^4-4*f(x)^2*x^3+f(x)^2*x^2-4*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A093388 3.67328 [{(-72*n^2-288*n-288)*a(n+1)+(17*n^2+85*n+108)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=6,a(2)=42} ogf] A093390 10.9280 [x^7/(x^6+x^3+1)/(x-1)^2 ogf] A093390 19.5286 [-(2+5*x^3+8*x^6-6*x^5-3*x^2)/(x-1)/(x^6+x^3+1) lgdogf] A093391 13.5570 [-2*(-2*x^3+3*x^4-4*x^7+5*x^8-6*x^11+1+7*x^12)/(x-1)/(1+x^4)/(1+x^8) lgdogf] A093391 7.89492 [x^13/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A093392 5.97681 [x^21/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A093392 9.85109 [-(2+12*x^10-15*x^14+7*x^5-5*x^4+17*x^15+22*x^20-20*x^19-10*x^9)/(x-1)/(x^20+x^15+x^10+x^5+1) lgdogf] A093393 6.61670 [-(2-2*x+x^10+12*x^8-x^7+8*x^14+8*x^3+3*x^6+16*x^5-6*x^4-4*x^13+5*x^11+4*x^2+4*x^9+10*x^12)/(x-1)/(x^2+1)/(x^6+x^3+1)/(2*x^6+x^4+x^3+1) lgdogf] A093393 6.64882 [x^3*(2*x^6+x^4+x^3+1)/(x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A093406 10.2622 [-(3-2*x-12*x^3+x^6+10*x^5+23*x^4+x^2)/(x^3+5*x^2-x+1)/(x^4+4*x^3-6*x^2+4*x-1) lgdogf] A093406 10.4422 [-(x^3+5*x^2-x+1)/(x^4+4*x^3-6*x^2+4*x-1) ogf] A093406 5.58369 [(10666*f(x)-1619)*(f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+x^3+4*f(x)*x+5*x^2-f(x)-x+1) ogf] A093434 4.84919 [{(27*n^2+135*n+168)*a(n+1)-a(n+2),a(0)=3,a(1)=180} ogf] A093467 10.5829 [-(2-10*x-12*x^3+3*x^4+18*x^2)/(x-1)/(x^2-3*x+1)/(x^3-x^2-2*x+1) lgdogf] A093467 5.15299 [{-a(n+4)+4*a(n+3)-4*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A093467 5.48543 [-(4*f(x)+17)*(f(x)*x^3-4*f(x)*x^2+x^3+4*f(x)*x-x^2-f(x)-2*x+1) ogf] A093467 9.85790 [-(x^3-x^2-2*x+1)/(x-1)/(x^2-3*x+1) ogf] A093468 4.54262 [{(-n-2)*a(n)+(n+3)*a(n+1)-a(n+2),a(0)=1,a(1)=2,a(2)=3} ogf] A093478 13.6436 [(1-4*x+26*x^3+112*x^5-188*x^4+59*x^2)/(x-1)/(2*x+1)/(14*x^4-15*x^3-2*x^2+2*x-1) lgdogf] A093478 16.0593 [(2*x+1)*(14*x^4-15*x^3-2*x^2+2*x-1)/(x-1) ogf] A093479 16.1578 [x*(10*x^4-10*x^3-2*x^2-5*x-1)/(x-1) ogf] A093479 16.6936 [2*(3+2*x-30*x^3+15*x^4+14*x^2)/(x-1)/(10*x^4-10*x^3-2*x^2-5*x-1) lgdogf] A093485 12.2607 [-(10*x^2+16*x+1)/(x-1)^3 ogf] A093485 28.0581 [-(x+8)^2/(x-1)/(x^2+7*x+19) lgdogf] A093485 6.54596 [(187*f(x)-1867)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+16*x+1) ogf] A093485 6.77564 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=19,a(2)=64} ogf] A093500 12.8002 [-(x^2+3*x+11)/(x-1)^3 ogf] A093500 24.3303 [-(36+8*x+x^2)/(x-1)/(x^2+3*x+11) lgdogf] A093500 6.78302 [(837*f(x)-8359)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+3*x+11) ogf] A093500 6.90098 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=36,a(2)=76} ogf] A093509 4.96138 [x*(5*x^8-4*x^7+8*x^6-6*x^5+9*x^4-6*x^3+8*x^2-4*x+5)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A093544 10.3273 [(x^2+5*x+1)*(x^3+2*x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A093544 6.51415 [{(-4*n-17)*a(n+1)+(4*n+5)*a(n+4),a(0)=1,a(1)=5,a(2)=3,a(3)=13} ogf] A093544 9.33029 [-(5+6*x+x^7+53*x^3+14*x^6+33*x^5+17*x^4+39*x^2)/(x-1)/(x^2+5*x+1)/(x^3+2*x^2+1)/(x^2+x+1) lgdogf] A093545 6.38230 [x*(x^10+3*x^9+5*x^8+x^7+5*x^6+5*x^5+2*x^4+5*x^3+5*x^2+x+2)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A093566 21.6767 [-5*(4+16*x+x^2)/(x-1)/(x^2+13*x+1) lgdogf] A093566 6.95292 [-x^4*(x^2+13*x+1)/(x-1)^7 ogf] A093567 14.3684 [-(-14-38*x+4*x^3+13*x^2)/(x-1)/(x^3+2*x^2-7*x-1) lgdogf] A093567 3.57183 [{(151*n^2+1311*n+2828)*a(n+1)+(-407*n^2-2859*n-4552)*a(n+2)+(256*n^2+918*n+812)*a(n+3),a(0)=0,a(1)=1,a(2)=14} ogf] A093567 6.42274 [x*(x^3+2*x^2-7*x-1)/(x-1)^7 ogf] A093610 4.86225 [(x^16+x^15+2*x^14+x^13+2*x^12+x^11+2*x^10+x^9+2*x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A093611 6.73849 [-(3+8*x+x^10+3*x^8+4*x^7+36*x^3+15*x^6+6*x^5+29*x^4+21*x^2)/(x+1)/(x^6+6*x^3-1)/(x^4-x^3+2*x^2+2*x+1) lgdogf] A093611 8.97619 [-x*(x+1)*(x^4-x^3+2*x^2+2*x+1)/(x^6+6*x^3-1) ogf] A093616 7.87210 [(21*x^32+50*x^19-100*x^18+50*x^17-5)/(21*x^32-5)/(x-1)^2 ogf] A093620 12.9020 [-205+82*x+(1-148*x+164*x^2)*f(x)+(8-32*x+32*x^2)*f(x)^2 lgdegf] A093620 4.94101 [{(-4*n^2-14*n-12)*a(n+1)+(4*n+13)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=43} ogf] A093646 29.0179 [-(19+81*x)/(9*x+1)/(x-1) lgdogf] A093646 4.60882 [{(n+3)*a(n+3)+(-3+8*n)*a(n+2)+(-90-9*n)*a(n+1),a(0)=1,a(1)=19,a(2)=145} ogf] A093646 5.72386 [(9*x+1)/(x-1)^10 ogf] A093652 5.62063 [-(2+14*x+x^10+6*x^8-4*x^7+12*x^3-10*x^6-12*x^5-8*x^4+21*x^2+6*x^9)/(x^7+3*x^6-2*x^5-7*x^4+x^3+x^2-2*x-1)/(x^4-4*x^2+1) lgdogf] A093652 5.93718 [-(x^7+3*x^6-2*x^5-7*x^4+x^3+x^2-2*x-1)/(x^4-4*x^2+1)^2 ogf] A093695 19.5642 [-(-x^2+2)/(x-1) ogf_with_Euler_transform] A093697 5.62290 [(x^30-x^29-x^17+x^14+x^11+x^10+x^9+x^7+x^6+x^5+x^4+x^3+x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A093699 5.37057 [-(x^6+38*x^5+95*x^4+148*x^3+79*x^2+22*x+1)/(x+1)^3/(x-1)^5 ogf] A093699 6.26984 [-2*(12+105*x+x^7+575*x^3+58*x^6+231*x^5+560*x^4+378*x^2)/(x-1)/(x+1)/(x^6+38*x^5+95*x^4+148*x^3+79*x^2+22*x+1) lgdogf] A093709 11.0414 [-(x^3-x^2+1)/(-x^4-1) ogf_with_Euler_transform] A093718 10.9171 [-(1+2*x^8-2*x^7+6*x^3+2*x^6+2*x^5-x^4-x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^4-x^3+x^2+1) lgdogf] A093718 9.87353 [-(2*x^4-x^3+x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A093719 11.0455 [-(1+x^10+3*x^8+5*x^6+6*x^5+5*x^4+3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^3+x+1) lgdogf] A093719 14.0372 [-(x^5+x^3+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A093722 7.94598 [-(3+11*x+9*x^8+23*x^7+32*x^3+13*x^6+41*x^5+35*x^4+10*x^2+3*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6+2*x^5+4*x^4+x^3+4*x^2+2*x+1) lgdogf] A093722 8.33550 [-x*(x^6+2*x^5+4*x^4+x^3+4*x^2+2*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A093732 3.77473 [-(259620*x^5+107048*x^4-20467*x^3-729*x^2+127*x+1)/(9*x-1)/(6*x-1)/(7*x-1)/(5*x-1)/(31*x-1)/(10*x-1)/(16*x-1) ogf] A093798 7.83349 [-(1000*f(x)*x^2-110*f(x)*x+f(x)-900*x)^2 ogf] A093798 7.99134 [-10*(-11+200*x)/(100*x-1)/(10*x-1) lgdogf] A093801 13.7665 [(3*x+1)/(6*x-1)/(3*x-1) ogf] A093801 14.7877 [-1/6*(-1-9*x+(1+30*x+9*x^2)^(1/2))/(6*x-1) revogf] A093801 15.1483 [-6*(-2+6*x+9*x^2)/(6*x-1)/(3*x-1)/(3*x+1) lgdogf] A093801 7.19614 [(17*f(x)+47)*(18*f(x)*x^2-9*f(x)*x+f(x)-3*x-1) ogf] A093801 7.53881 [{-a(n+2)+9*a(n+1)-18*a(n),a(0)=1,a(1)=12} ogf] A093829 17.1326 [-(2*x-1)/(-x^2+x-1) ogf_with_Euler_transform] A093833 10.5221 [(x-1)^2/(3*x-1)/(2*x-1)/(x+1) ogf] A093833 13.1003 [-2*(1+x+3*x^3-9*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A093833 5.68004 [(11*f(x)+13)*(6*f(x)*x^3+f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A093833 5.73077 [{a(n+3)-4*a(n+2)+a(n+1)+6*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A093834 12.1237 [(2*x-1)^2/(3*x-1)/(4*x-1) ogf] A093834 19.4535 [(-3+10*x)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A093834 6.29498 [{-a(n+3)+7*a(n+2)-12*a(n+1),a(0)=1,a(1)=3,a(2)=13} ogf] A093834 6.6804 [-(f(x)+1)*(12*f(x)*x^2-7*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A093835 10.2559 [x*(2*x^2+1)/(2*x-1)^2/(x+1)^2 ogf] A093835 16.4108 [-2*(1+6*x+4*x^3)/(2*x-1)/(x+1)/(1+2*x^2) lgdogf] A093835 3.80934 [{(-2*n^2-10*n-12)*a(n+1)+(-n^2-4*n-3)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A093835 4.93803 [-(9882*f(x)-6493)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*x^3-2*f(x)*x+f(x)-x) ogf] A093882 6.22534 [-x^10*(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A093907 13.1276 [-(x+2)*(x^4-3*x^3+3*x^2+x+2)/(x-1)/(x+1)/(x^4-x^3-2*x^2+3*x+1) lgdogf] A093907 8.92248 [-2*(x^4-x^3-2*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A093916 17.2800 [-(2*x^5+3*x^4+3*x^3+3*x^2+7*x+2)/(x-1)^3/(x+1)^3 ogf] A093916 17.6801 [-(7+18*x+24*x^3+2*x^6+6*x^5+19*x^4+44*x^2)/(x-1)/(x+1)/(2*x^5+3*x^4+3*x^3+3*x^2+7*x+2) lgdogf] A093917 4.82172 [{(-n^3-12*n^2-49*n-68)*a(n+1)+(n^3+6*n^2+13*n+10)*a(n+3),a(0)=2,a(1)=15,a(2)=30} ogf] A093917 6.66102 [-(15+60*x+4*x^7+220*x^3+45*x^6+100*x^5+285*x^4+231*x^2)/(x-1)/(x+1)/(2*x^6+15*x^5+22*x^4+42*x^3+22*x^2+15*x+2) lgdogf] A093917 6.79424 [(2*x^6+15*x^5+22*x^4+42*x^3+22*x^2+15*x+2)/(x-1)^4/(x+1)^4 ogf] A093918 10.3180 [-(8+22*x+24*x^3+x^6+2*x^5+14*x^4+49*x^2)/(x-1)/(x+1)/(x^2+2*x+2)/(x^3-x^2+3*x+1) lgdogf] A093918 9.45038 [-(x^2+2*x+2)*(x^3-x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A093949 17.0204 [-(-4*x^2+x+1)/(x^3-1) ogf_with_Euler_transform] A093951 7.73551 [-x^4*f(x)^3-8*f(x)^2*x^2+4*f(x)^2*x-6*f(x)*x+f(x)-1 ogf] A093951 9.87860 [1/2*(2*(1+4*x)^(1/2)*x^2+4*(1+4*x)^(1/2)*x+(1+4*x)^(1/2)-1-6*x-8*x^2)/x^3 revogf] A093953 2.79629 [(1868317*f(x)-1025620)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-f(x)+2*x+1) ogf] A093953 2.82040 [{a(n+3)-8*a(n+2)+17*a(n+1)-10*a(n),a(0)=1,a(1)=10,a(2)=63} ogf] A093953 5.74682 [-2*(x+1)*(20*x^2-22*x+5)/(x-1)/(2*x+1)/(2*x-1)/(-1+5*x) lgdogf] A093953 5.94847 [-(2*x+1)/(x-1)/(2*x-1)/(5*x-1) ogf] A093960 12.4897 [(x+1)*(x-1)^2/(x^2-3*x+1) ogf] A093960 15.3916 [(-2+2*x+x^3-5*x^2)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A093960 6.62495 [{a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=11} ogf] A093960 7.4693 [(10*f(x)-7)*(f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)+x-1) ogf] A093964 20.7541 [(6+3*x+x^3-4*x^2)/(x-1)/(x^2-2*x-1) lgdegf] A093964 4.43173 [{(-n^2-5*n-6)*a(n+1)+(n^2+7*n+12)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A093965 4.17946 [{(-n^2-7*n-12)*a(n+1)+(n^2+9*n+20)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=21} ogf] A093967 10.5605 [x*(x^2+1)/(x^2+2*x-1)^2 ogf] A093967 19.8952 [-2*(2+3*x+x^3)/(1+x^2)/(x^2+2*x-1) lgdogf] A093967 3.96782 [{(n^2+5*n+6)*a(n+1)+(2*n^2+8*n+6)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A093967 5.36277 [(236*f(x)-65)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-x^3-4*f(x)*x+f(x)-x) ogf] A093968 12.5522 [x*(2*x^2+2*x+1)/(2*x^2-1)^2 ogf] A093968 16.4064 [-2*(1+6*x+4*x^3+6*x^2)/(2*x^2-1)/(1+2*x^2+2*x) lgdogf] A093968 6.65812 [{(2*n+6)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A093968 8.69052 [(4*f(x)-1)*(4*f(x)*x^4-4*f(x)*x^2-2*x^3-2*x^2+f(x)-x) ogf] A093969 14.9233 [-2*x*(3+5*x^2-6*x)/(5*x^2-4*x+1)/(x^2+2*x-1) lgdogf] A093969 4.73827 [{a(n+4)-4*a(n+3)+2*a(n+2)+4*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=3} ogf] A093969 4.80694 [-(4*f(x)-13)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-5*x^3-4*f(x)*x+4*x^2+f(x)-x) ogf] A093969 9.08710 [x*(5*x^2-4*x+1)/(x^2+2*x-1)^2 ogf] A093985 5.76297 [{a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A093986 3.06476 [{(-2-n)*a(n+1)+(2*n^2+11*n+16)*a(n+2)+(-2*n^2-17*n-34)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=17} ogf] A094002 11.1515 [(x^2-x-1)/(2*x-1)/(x-1)^2 ogf] A094002 15.1508 [-(5-7*x+2*x^3-2*x^2)/(x-1)/(2*x-1)/(x^2-x-1) lgdogf] A094002 5.86413 [(701*f(x)-1755)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)+x+1) ogf] A094002 6.01982 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A094012 11.3257 [-2*(2*x-1)*(10*x^2-4*x+1)/(2*x^2-4*x+1)/(1+10*x^2-6*x) lgdogf] A094012 3.50985 [{(2*n^2+10*n+12)*a(n+1)+(-4*n^2-16*n-12)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A094012 4.56796 [(4*f(x)+1)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-10*x^3-8*f(x)*x+6*x^2+f(x)-x) ogf] A094012 8.17426 [x*(10*x^2-6*x+1)/(2*x^2-4*x+1)^2 ogf] A094013 13.4478 [(4*x-1)/(4*x^2+4*x-1) ogf] A094013 15.2755 [1/8*(-1-4*x+(1-8*x+32*x^2)^(1/2))/(x-1) revogf] A094013 17.5219 [-8*x*(2*x-1)/(4*x-1)/(4*x^2+4*x-1) lgdogf] A094013 7.47099 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=1,a(1)=0} ogf] A094013 9.60556 [4*f(x)*x^2+4*f(x)*x-f(x)-4*x+1 ogf] A094014 14.9266 [1/4*2^(1/2)*(ln(1+2^(1/2))+arcsinh(-1+4*x)) revegf] A094014 14.9396 [(2*x-1)/(8*x^2-1) ogf] A094014 18.8778 [-2*(1-8*x+8*x^2)/(2*x-1)/(8*x^2-1) lgdogf] A094014 8.62707 [-(6*f(x)-5)*(8*f(x)*x^2-f(x)-2*x+1) ogf] A094014 9.57067 [{a(n+2)-8*a(n),a(0)=1,a(1)=-2} ogf] A094015 15.1780 [-(4*x+1)/(8*x^2-1) ogf] A094015 16.0333 [1/8*(-1+(1+16*x+32*x^2)^(1/2))/(1+2*x) revogf] A094015 17.9196 [-4*(1+4*x+8*x^2)/(4*x+1)/(8*x^2-1) lgdogf] A094015 9.72339 [{a(n+2)-8*a(n),a(0)=1,a(1)=4} ogf] A094015 9.87772 [-f(x)*(8*f(x)*x^2-f(x)+4*x+1) ogf] A094024 15.1321 [-(2*x+1)/(x+1)/(2*x^2-1) ogf] A094024 17.4693 [-(1+4*x+8*x^3+10*x^2)/(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A094024 7.16071 [{-a(n+3)-a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A094024 7.7864 [(f(x)-1)*(2*f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+2*x+1) ogf] A094025 12.0289 [-(-3-8*x+12*x^3+27*x^4-12*x^2)/(x-1)/(3*x+1)/(x+1)/(3*x^2-1) lgdogf] A094025 15.0195 [(3*x+1)/(x-1)/(x+1)/(3*x^2-1) ogf] A094025 8.1773 [(908*f(x)-2133)*(3*f(x)*x^4-4*f(x)*x^2+f(x)-3*x-1) ogf] A094026 11.2661 [x*(10*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A094026 6.309 [-(999*f(x)+446)*(10*f(x)*x^4-11*f(x)*x^2-10*x^2+f(x)-x) ogf] A094026 9.41279 [-2*(-5-11*x+20*x^3+150*x^4-55*x^2)/(x-1)/(10*x+1)/(x+1)/(10*x^2-1) lgdogf] A094027 4.82613 [-(999999*f(x)+494951)*(100*f(x)*x^4-101*f(x)*x^2-100*x^2+f(x)-x) ogf] A094027 6.38736 [-2*(-50-101*x+200*x^3+15000*x^4-5050*x^2)/(x-1)/(10*x+1)/(100*x+1)/(10*x-1)/(x+1) lgdogf] A094027 8.91605 [x*(100*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A094028 10.6784 [1/(100*x-1)/(x-1) ogf] A094028 13.2814 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A094028 4.48978 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=1,a(1)=101} ogf] A094028 7.23139 [(10001*f(x)+200)*(100*f(x)*x^2-101*f(x)*x+f(x)-1) ogf] A094028 7.70322 [-1/200*(-101*x-1+(81*x+1)^(1/2)*(121*x+1)^(1/2))/x revogf] A094033 14.1864 [-3*x^3/(x-1)/(3*x-1)/(2*x-1) ogf] A094033 16.6482 [-2*(3-11*x+9*x^2)/(x-1)/(3*x-1)/(2*x-1) lgdogf] A094033 5.01982 [{-a(n+4)+6*a(n+3)-11*a(n+2)+6*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A094033 6.52576 [-f(x)*(6*f(x)*x^3-11*f(x)*x^2+3*x^3+6*f(x)*x-f(x)) ogf] A094034 5.46876 [-x^3*(5*x+1)*(56*x^2-11*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A094038 10.4802 [-2*(-1-24*x^3+12*x^4+12*x^2)/(2*x-1)/(2*x^2-1)/(2*x^2-4*x+1) lgdogf] A094038 11.2033 [x*(2*x-1)/(2*x^2-1)/(2*x^2-4*x+1) ogf] A094038 5.75304 [-(2*f(x)-3)*(4*f(x)*x^4-8*f(x)*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A094039 4.83054 [{-a(n+4)+4*a(n+3)-a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A094039 5.50261 [(f(x)+2)*(6*f(x)*x^3+f(x)*x^2+x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A094039 9.73540 [-x*(x^2+2*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A094039 9.88752 [-2*(1-2*x+12*x^3+3*x^4-6*x^2)/(3*x-1)/(2*x-1)/(x+1)/(x^2+2*x-1) lgdogf] A094041 8.04519 [(3*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A094042 6.87364 [(x^10+x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A094052 11.5126 [-x*(6-2*x^2+4*x^4+9*x^3-12*x)/(2*x-1)/(x^2+x-1)/(x^3+2*x^2-x-1) lgdogf] A094052 5.48005 [(9*f(x)-1)*(2*f(x)*x^4+3*f(x)*x^3-4*f(x)*x^2+x^3-f(x)*x+x^2+f(x)-x) ogf] A094052 9.98421 [-x*(x^2+x-1)/(2*x-1)/(x^3+2*x^2-x-1) ogf] A094075 3.68565 [105*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A094075 5.51991 [-2*(64+1611*x+8422*x^3+x^6+183*x^5+2682*x^4+7197*x^2)/(x-1)/(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1) lgdogf] A094081 7.06800 [-(5*x^4+160*x^3+438*x^2+160*x+5)/(x-1)^5 ogf] A094081 9.46484 [-(185+1516*x+340*x^3+5*x^4+1794*x^2)/(x-1)/(5*x^4+160*x^3+438*x^2+160*x+5) lgdogf] A094085 13.122 [-8*f(x)*x+f(x)-72*x-3 ogf] A094085 14.4349 [-1/48-1/18*x+1/144*(9+336*x+64*x^2)^(1/2) revogf] A094085 15.8845 [-3*(1+24*x)/(8*x-1) ogf] A094085 29.5916 [-32/(24*x+1)/(8*x-1) lgdogf] A094085 8.26863 [{a(n+2)-8*a(n+1),a(0)=3,a(1)=96} ogf] A094103 8.21606 [-(-1-4*x+5*x^8+8*x^7-6*x^3+9*x^6+2*x^5+2*x^4-7*x^2+4*x^9)/(x-1)/(x+1)/(x^2+1)/(x^4+x^2-1)/(x^2+x+1) lgdogf] A094103 9.31413 [(x+1)*(x^2+1)/(x-1)/(x^2+x+1)/(x^4+x^2-1) ogf] A094125 12.2354 [6*f(x)*x^2-5*f(x)*x+f(x)+13*x-5 ogf] A094125 17.0232 [-(13*x-5)/(3*x-1)/(2*x-1) ogf] A094125 17.9009 [-6*(2-10*x+13*x^2)/(13*x-5)/(3*x-1)/(2*x-1) lgdogf] A094125 18.7741 [-1/2*(-5-5*x+(25-2*x+x^2)^(1/2))/(13+6*x) revogf] A094125 9.43454 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=5,a(1)=12} ogf] A094159 13.9578 [-3*x*(3*x+1)/(x-1)^3 ogf] A094159 35.6442 [-6*(1+x)/(3*x+1)/(x-1) lgdogf] A094159 6.79994 [-(1072*f(x)-4095)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+3*x) ogf] A094159 7.10350 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=18} ogf] A094160 18.8707 [-(19+77*x+32*x^2)/(x-1)/(16*x^2+15*x+1) lgdogf] A094160 3.69616 [{(n+3)*a(n+4)+(9+14*n)*a(n+3)+(-76+n)*a(n+2)+(-32-16*n)*a(n+1),a(0)=0,a(1)=4,a(2)=76,a(3)=344} ogf] A094160 4.8482 [-(33128448*f(x)+914116051)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-64*x^3-4*f(x)*x-60*x^2+f(x)-4*x) ogf] A094160 9.95499 [4*x*(16*x^2+15*x+1)/(x-1)^4 ogf] A094161 10.7254 [-(63+690*x+224*x^3+1023*x^2)/(x-1)/(112*x^3+229*x^2+58*x+1) lgdogf] A094161 8.09441 [-5*x*(112*x^3+229*x^2+58*x+1)/(x-1)^5 ogf] A094170 10.1444 [-2*(5+18*x+18*x^3+x^6+3*x^5+12*x^4+33*x^2)/(x-1)/(x+1)/(x^5+x^4+4*x^3+4*x^2+7*x+1) lgdogf] A094170 6.71414 [-x^2*(x^5+x^4+4*x^3+4*x^2+7*x+1)/(x+1)^2/(x-1)^5 ogf] A094187 22.1074 [1/2*x*(x+2)/(9*x+1)^2 revegf] A094187 3.73634 [892296*f(x)^2*x^3-37260*f(x)^2*x^2+358*f(x)^2*x-f(x)^2+9792*f(x)*x-288*f(x)+289 egf] A094187 8.92800 [-(8262*x-179+144*(1-34*x)^(1/2))/(162*x-1)/(-1+34*x) lgdegf] A094188 10.4390 [-(x-1)/(x+1)/(x^2+x-1)^2 ogf] A094188 19.1767 [-2*x*(-3+2*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A094195 14.2465 [(4*x-1)/(5*x-1)/(x-1)^2 ogf] A094195 19.3958 [-(3-19*x+40*x^2)/(x-1)/(4*x-1)/(-1+5*x) lgdogf] A094195 6.74835 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A094195 6.99374 [(4341*f(x)+2315)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-f(x)-4*x+1) ogf] A094196 4.47066 [(4*x^12+4*x^11+3*x^10+x^9+3*x^8+4*x^7-35*x^6-32*x^5-19*x^4-5*x^3-11*x^2-8*x-1)/(x-1)/(x^12-10*x^6+1) ogf] A094200 6.83664 [-(3*x^4+92*x^3+194*x^2+92*x+3)/(x-1)^5 ogf] A094200 9.47654 [-(107+756*x+196*x^3+3*x^4+858*x^2)/(x-1)/(3*x^4+92*x^3+194*x^2+92*x+3) lgdogf] A094201 5.87259 [(37*x^4+206*x^3+198*x^2+38*x+1)/(x-1)^6 ogf] A094201 8.55137 [-2*(22+293*x+383*x^3+37*x^4+705*x^2)/(x-1)/(37*x^4+206*x^3+198*x^2+38*x+1) lgdogf] A094211 3.40316 [(75185520397038261*f(x)-21542075932591331)*(128*f(x)*x^4+36991*f(x)*x^3-7585*f(x)*x^2-10569*x^3-71*f(x)*x+4293*x^2+f(x)+69*x-1) ogf] A094211 4.77891 [(10569*x^3-4293*x^2-69*x+1)/(128*x-1)/(x^3+289*x^2-57*x-1) ogf] A094213 3.52029 [-(1547833*x^4+3035380*x^3-91731*x^2-263*x+1)/(512*x-1)/(x+1)/(x^3-13605*x^2+246*x+1) ogf] A094218 3.41598 [{(-4*n^2-22*n-30)*a(n+1)+(-31*n^2-267*n-602)*a(n+2)+(8*n^2+64*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A094219 3.88396 [{(-4*n^2-30*n-50)*a(n+1)+(n^2+6*n-16)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=7} ogf] A094233 4.71041 [-f(x)*(2*f(x)*x^5-5*f(x)*x^4-4*f(x)*x^3+x^4+5*f(x)*x^2+2*x^3+f(x)*x-3*x^2-f(x)-x+1) ogf] A094233 7.80162 [-2*x*(2+x^7+4*x^6-6*x^2-12*x^5+6*x^4+12*x^3-4*x)/(x-1)/(2*x-1)/(x+1)/(x^3-3*x^2+1)/(x^3+3*x^2-1) lgdogf] A094233 8.05329 [-(x-1)*(x^3+3*x^2-1)/(2*x-1)/(x+1)/(x^3-3*x^2+1) ogf] A094247 10.0640 [-(2*x^9+x^8+x^6+x^2+1)/(-x^10+1) ogf_with_Euler_transform] A094248 10.2889 [-(5*x^2+7*x+1)/(5*x^3+2*x^2-1) ogf] A094248 6.23901 [{-a(n+3)+2*a(n+1)+5*a(n),a(0)=1,a(1)=7,a(2)=7} ogf] A094248 8.0662 [-(219*f(x)+565)*(5*f(x)*x^3+2*f(x)*x^2+5*x^2-f(x)+7*x+1) ogf] A094248 9.55231 [-(7+14*x+70*x^3+25*x^4+29*x^2)/(5*x^2+7*x+1)/(5*x^3+2*x^2-1) lgdogf] A094253 4.32746 [{-a(n+4)+4*a(n+3)+4*a(n+2)-8*a(n+1),a(0)=1,a(1)=8,a(2)=20,a(3)=120} ogf] A094253 4.78858 [(-7+22*f(x))*(8*f(x)*x^3-4*f(x)*x^2-16*x^3-4*f(x)*x+16*x^2+f(x)-4*x-1) ogf] A094253 8.05412 [8*(1-3*x-24*x^3+8*x^4+13*x^2)/(8*x^3-4*x^2-4*x+1)/(16*x^3-16*x^2+4*x+1) lgdogf] A094253 8.22827 [(16*x^3-16*x^2+4*x+1)/(8*x^3-4*x^2-4*x+1) ogf] A094254 4.99614 [{a(n+4)-6*a(n+3)+8*a(n+1),a(0)=1,a(1)=2,a(2)=20,a(3)=128} ogf] A094254 5.62066 [(23*f(x)-26)*(8*f(x)*x^3-16*x^3-6*f(x)*x-8*x^2+f(x)+4*x-1) ogf] A094254 8.54283 [-2*(2*x+1)*(16*x^3+24*x^2-6*x-1)/(8*x^3-6*x+1)/(16*x^3+8*x^2-4*x+1) lgdogf] A094254 9.42819 [(16*x^3+8*x^2-4*x+1)/(8*x^3-6*x+1) ogf] A094256 13.5912 [-(-7+30*x+4*x^3-30*x^2)/(x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094256 15.0767 [1/(x-1)/(x^3-9*x^2+6*x-1) ogf] A094256 6.00712 [(1114027*f(x)+1038)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A094257 4.03580 [{-a(n+4)+21*a(n+3)-35*a(n+2)+7*a(n+1),a(0)=1,a(1)=7,a(2)=175,a(3)=3423} ogf] A094257 4.28226 [(7309*f(x)-16353)*(7*f(x)*x^3-35*f(x)*x^2-14*x^3+21*f(x)*x+63*x^2-f(x)-14*x+1) ogf] A094257 7.13822 [-7*(-1-8*x-56*x^3+7*x^4+122*x^2)/(7*x^3-35*x^2+21*x-1)/(14*x^3-63*x^2+14*x-1) lgdogf] A094257 7.58076 [(14*x^3-63*x^2+14*x-1)/(7*x^3-35*x^2+21*x-1) ogf] A094258 12.5779 [-f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1 egf] A094258 16.8497 [(x^2-x+1)/(x-1)^2 egf] A094258 4.53316 [{(-n^2-n)*a(n)+(2*n^2+9*n+6)*a(n+1)+(-n^2-9*n-15)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A094258 40.0145 [-(1+x)/(x-1)/(x^2-x+1) lgdegf] A094259 14.1835 [(5*x-1)/(6*x-1)/(x-1)^2 ogf] A094259 19.3128 [-(3-23*x+60*x^2)/(x-1)/(6*x-1)/(-1+5*x) lgdogf] A094259 6.71851 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A094259 7.09177 [(856*f(x)+519)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x-f(x)-5*x+1) ogf] A094260 7.46260 [-2*(5+5*x+15*x^8+4*x^7-4*x^3+250*x^6-6*x^5+516*x^4+174*x^2+x^9)/(x-1)/(1+x)/(x^2+1)/(x^6+10*x^5-x^4+76*x^3-x^2+10*x+1) lgdogf] A094260 7.46585 [-(x^2+1)*(x^6+10*x^5-x^4+76*x^3-x^2+10*x+1)/(x-1)^5/(x+1)^5 ogf] A094266 7.47753 [-(x+1)*(x^10-2*x^9+3*x^8+x^5-3*x^4+1)/(2*x^4-1)/(2*x^8-2*x^4+1) ogf] A094283 11.7856 [-(3*x+1)*(5*x^2+1)/(2*x-1) ogf] A094283 12.7133 [5*(-1-2*x+12*x^3-7*x^2)/(2*x-1)/(3*x+1)/(5*x^2+1) lgdogf] A094283 6.49408 [{a(n+4)-2*a(n+3),a(0)=1,a(1)=5,a(2)=15,a(3)=45} ogf] A094283 7.23203 [-(f(x)-1)*(15*x^3+2*f(x)*x+5*x^2-f(x)+3*x+1) ogf] A094284 12.1186 [-(f(x)-5)*(-x^3+f(x)*x-f(x)-2*x+5) ogf] A094284 21.2749 [(x^3+2*x-5)/(x-1) ogf] A094284 28.4506 [(3+2*x^3-3*x^2)/(x-1)/(x^3+2*x-5) lgdogf] A094284 9.97259 [{a(n+4)-a(n+3),a(0)=5,a(1)=3,a(2)=3,a(3)=2} ogf] A094286 5.67719 [-(2*f(x)+5)*(4*f(x)*x^4-2*f(x)*x^3-6*f(x)*x^2+3*x^3+5*f(x)*x-f(x)-3*x+1) ogf] A094286 8.15962 [-(2-12*x-2*x^3+12*x^6-18*x^4+21*x^2)/(x-1)/(2*x-1)/(2*x^2+2*x-1)/(3*x^3-3*x+1) lgdogf] A094286 9.41709 [-(3*x^3-3*x+1)/(2*x-1)/(x-1)/(2*x^2+2*x-1) ogf] A094287 6.40305 [-(x^5+2*x^4-5*x^3-2*x^2+4*x-1)/(x^3+3*x^2-4*x+1)/(x^3-x^2-2*x+1) ogf] A094288 5.14261 [-(x^6-2*x^5-7*x^4+6*x^3+5*x^2-5*x+1)/(x-1)/(x^2+2*x-1)/(x^4-4*x^3-2*x^2+4*x-1) ogf] A094292 11.4456 [-(-3+6*x-8*x^3+3*x^4+3*x^2)/(x-1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A094292 4.73827 [{-a(n+4)+4*a(n+3)-3*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A094292 7.15681 [-f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x) ogf] A094292 9.61388 [x^2*(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A094294 3.49462 [{(2*n^2+12*n+18)*a(n+1)+(-3*n^2-23*n-42)*a(n+2)+(n^2+12*n+29)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=18} ogf] A094297 10.1002 [-(3-10*x+8*x^3+12*x^4+2*x^2)/(2*x-1)/(3*x^2+x-1)/(2*x^2+2*x-1) lgdogf] A094297 10.4819 [-(3*x^2+x-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A094297 5.65834 [(6*f(x)+109)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+3*x^2+f(x)+x-1) ogf] A094297 5.70887 [{a(n+3)-4*a(n+2)+2*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A094304 3.97048 [{n^2*a(n)+(-2*n^2-7*n-3)*a(n+1)+(n^2+8*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A094306 11.7415 [-(x-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A094306 12.4340 [-(3-4*x+8*x^3-10*x^2)/(x-1)/(2*x-1)/(2*x^2+2*x-1) lgdogf] A094306 5.50705 [{-a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A094306 5.92663 [(27*f(x)-32)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A094309 15.5753 [1/(2*x-1)/(2*x^2+2*x-1) ogf] A094309 16.9069 [-4*(-1+x+3*x^2)/(2*x-1)/(2*x^2+2*x-1) lgdogf] A094309 5.65122 [{-a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A094309 6.32264 [(87*f(x)-22)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A094311 4.82932 [(x^6+12*x^5+78*x^4+133*x^3+78*x^2+12*x+1)/(x-1)^8 ogf] A094311 7.10665 [-(20+240*x+977*x^3+2*x^6+42*x^5+372*x^4+867*x^2)/(x-1)/(x^6+12*x^5+78*x^4+133*x^3+78*x^2+12*x+1) lgdogf] A094323 13.2272 [-(63+287*x+21*x^3+205*x^2)/(x-1)/(7*x^3+46*x^2+39*x+4) lgdogf] A094323 7.10365 [x*(7*x^3+46*x^2+39*x+4)/(x-1)^6 ogf] A094324 11.1317 [(101-178*x-2*x^3+20*x^5-22*x^4+86*x^2)/(x-1)/(5*x^5+x^4+x^3+89*x^2+11010*x-11111) lgdogf] A094324 11.7934 [(5*x^5+x^4+x^3+89*x^2+11010*x-11111)/(x-1) ogf] A094325 10.4289 [(4*x^6+x^5+x^4+8*x^3+90*x^2+111001*x-111111)/(x-1) ogf] A094325 9.67281 [2*(55-90*x+6*x^3+10*x^6-10*x^5-x^4+33*x^2)/(x-1)/(4*x^6+x^5+x^4+8*x^3+90*x^2+111001*x-111111) lgdogf] A094326 7.40533 [2*(500-978*x+7*x^8-5*x^7-12*x^3-x^6-x^5+8*x^4+486*x^2)/(x-1)/(2*x^8+x^7+x^6+x^5+7*x^4+2*x^3+978*x^2+11110111*x-11111111) lgdogf] A094326 8.31819 [(2*x^8+x^7+x^6+x^5+7*x^4+2*x^3+978*x^2+11110111*x-11111111)/(x-1) ogf] A094327 7.57468 [(x^9+x^8+x^7+x^6+x^5+7*x^4+79*x^3+901*x^2+111110110*x-111111111)/(x-1) ogf] A094328 15.2507 [-(6*x^4+9*x^3+7*x^2+5*x+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A094328 9.09045 [-(5+14*x+6*x^8+18*x^7+24*x^3+21*x^6+20*x^5+20*x^4+27*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(6*x^4+9*x^3+7*x^2+5*x+4) lgdogf] A094347 11.6845 [-2*(13*x-1)/(x^2-14*x+1) ogf] A094347 14.1476 [-(-1-7*x+(1-12*x+48*x^2)^(1/2))/(26+x) revogf] A094347 14.5300 [-(1-2*x+13*x^2)/(13*x-1)/(x^2-14*x+1) lgdogf] A094347 5.84224 [-(84*f(x)-167)*(f(x)*x^2-14*f(x)*x+f(x)+26*x-2) ogf] A094347 6.61651 [{a(n+2)-14*a(n+1)+a(n),a(0)=2,a(1)=2} ogf] A094359 12.8681 [-x*(3*x+1)/(2*x+1)/(2*x-1)/(x+1) ogf] A094359 13.3871 [-2*(1+4*x+12*x^3+12*x^2)/(2*x+1)/(2*x-1)/(3*x+1)/(x+1) lgdogf] A094359 6.60795 [{-a(n+3)-a(n+2)+4*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A094359 6.85498 [(2*f(x)+1)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x+3*x^2-f(x)+x) ogf] A094360 10.3972 [-(2+18*x+24*x^3+20*x^4+29*x^2)/(2*x+1)/(2*x-1)/(x+1)/(5*x^2+3*x+1) lgdogf] A094360 11.4767 [-(5*x^2+3*x+1)/(2*x+1)/(2*x-1)/(x+1) ogf] A094360 6.08764 [(972*f(x)+341)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x+5*x^2-f(x)+3*x+1) ogf] A094360 6.25071 [{-a(n+3)-a(n+2)+4*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A094361 11.2637 [{-a(n+2)+4*a(n),a(0)=4,a(1)=1} ogf] A094361 11.7835 [-1/2*arcsinh(1/21*7^(1/2))+1/2*arcsinh(1/21*7^(1/2)*(1+4*x)) revegf] A094361 17.5823 [-(x+4)/(2*x-1)/(2*x+1) ogf] A094361 19.1084 [-(1+32*x+4*x^2)/(x+4)/(2*x+1)/(2*x-1) lgdogf] A094361 9.87497 [(1040*f(x)-4159)*(4*f(x)*x^2-f(x)+x+4) ogf] A094364 11.0967 [(5*x-1)/(100*x^2+10*x-1) ogf] A094364 11.3328 [-5*(-1-40*x+100*x^2)/(-1+5*x)/(100*x^2+10*x-1) lgdogf] A094364 5.91827 [(40*f(x)-39)*(100*f(x)*x^2+10*f(x)*x-f(x)-5*x+1) ogf] A094364 6.26639 [{-a(n+2)+10*a(n+1)+100*a(n),a(0)=1,a(1)=5} ogf] A094373 11.317 [-2*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+1 ogf] A094373 15.1605 [-(x^2+x-1)/(2*x-1)/(x-1) ogf] A094373 20.7707 [-(2-6*x+5*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A094373 7.87754 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=3} ogf] A094374 10.5153 [-(3-20*x-36*x^3+6*x^4+45*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A094374 12.7088 [-(x^2-3*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A094374 6.91182 [(11*f(x)-37)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A094374 6.97299 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A094375 10.0890 [-(5*x^2-5*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A094375 5.4794 [(26*f(x)-461)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A094375 5.52704 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A094375 8.77321 [-(4-42*x-240*x^3+120*x^4+157*x^2)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x^2-5*x+1) lgdogf] A094388 12.4371 [-(x^2+2*x-1)/(3*x-1)/(x-1) ogf] A094388 15.3806 [-2*(1-4*x+5*x^2)/(x-1)/(3*x-1)/(x^2+2*x-1) lgdogf] A094388 6.46243 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A094388 9.28405 [3*f(x)*x^2-4*f(x)*x+x^2+f(x)+2*x-1 ogf] A094389 10.2195 [(2*x^9+2*x^8-4*x^7+4*x^6-4*x^5+4*x^4-4*x^3-4*x^2-1)/(x-1) ogf] A094389 8.17376 [(1+8*x-4*x^8-40*x^7-24*x^3+48*x^6-40*x^5+32*x^4+8*x^2+16*x^9)/(x-1)/(2*x^9+2*x^8-4*x^7+4*x^6-4*x^5+4*x^4-4*x^3-4*x^2-1) lgdogf] A094421 19.0032 [-2*(37+34*x+x^2)/(x-1)/(x^2+22*x+13) lgdogf] A094421 4.91704 [(139392*f(x)+3217769)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-22*x-13) ogf] A094421 9.83407 [(x^2+22*x+13)/(x-1)^4 ogf] A094423 10.6219 [-(5*x+1)/(5*x-1)/(25*x^2+6*x+1) ogf] A094423 5.08006 [-(5844*f(x)-8075)*(125*f(x)*x^3+5*f(x)*x^2-f(x)*x-f(x)+5*x+1) ogf] A094423 5.12462 [{a(n+3)+a(n+2)-5*a(n+1)-125*a(n),a(0)=1,a(1)=4,a(2)=1} ogf] A094423 9.85935 [-2*(2+5*x+625*x^3+200*x^2)/(5*x+1)/(-1+5*x)/(25*x^2+6*x+1) lgdogf] A094428 11.4377 [-(2*x^11-x^6+x^5-x^4)/(-x^12+1) ogf_with_Euler_transform] A094429 10.6499 [7*x*(x-1)/(7*x^3-14*x^2+7*x-1) ogf] A094429 11.9272 [-(-6+28*x+14*x^3-35*x^2)/(x-1)/(7*x^3-14*x^2+7*x-1) lgdogf] A094429 5.46630 [{-a(n+3)+7*a(n+2)-14*a(n+1)+7*a(n),a(0)=0,a(1)=7,a(2)=42} ogf] A094429 5.61539 [(13*f(x)-16)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-7*x^2-f(x)+7*x) ogf] A094430 14.6456 [-7/(7*x^3-14*x^2+7*x-1) ogf] A094430 16.2906 [-7*(3*x-1)*(x-1)/(7*x^3-14*x^2+7*x-1) lgdogf] A094430 5.30273 [{a(n+3)-7*a(n+2)+14*a(n+1)-7*a(n),a(0)=7,a(1)=49,a(2)=245} ogf] A094430 6.03056 [(26*f(x)-35)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+7) ogf] A094431 12.8546 [-(6*x-1)/(9*x^2-8*x+1) ogf] A094431 13.4829 [-1/6*(-1-8*x+(1-8*x+28*x^2)^(1/2))/(2+3*x) revogf] A094431 14.5200 [-2*(1-9*x+27*x^2)/(6*x-1)/(9*x^2-8*x+1) lgdogf] A094431 6.42733 [-(13*f(x)+3)*(9*f(x)*x^2-8*f(x)*x+f(x)+6*x-1) ogf] A094431 7.05438 [{a(n+2)-8*a(n+1)+9*a(n),a(0)=1,a(1)=2} ogf] A094432 10.4236 [-9*f(x)*x^2+8*f(x)*x-f(x)+3*x ogf] A094432 13.4635 [-1/18*(-8*x-3+(14*x+3)^(1/2)*(2*x+3)^(1/2))/x revogf] A094432 16.6214 [3*x/(9*x^2-8*x+1) ogf] A094432 24.2344 [-2*(-4+9*x)/(9*x^2-8*x+1) lgdogf] A094432 7.59251 [{a(n+2)-8*a(n+1)+9*a(n),a(0)=0,a(1)=3} ogf] A094433 10.6003 [6*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+5*x-1 ogf] A094433 13.6568 [-(4*x-1)/(6*x^2-6*x+1) ogf] A094433 14.3337 [-1/4*(-1-6*x+(1-4*x+12*x^2)^(1/2))/(2+3*x) revogf] A094433 15.4363 [-2*(1-6*x+12*x^2)/(4*x-1)/(6*x^2-6*x+1) lgdogf] A094433 7.49459 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=1,a(1)=2} ogf] A094434 10.7351 [-6*f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A094434 17.1181 [2*x/(6*x^2-6*x+1) ogf] A094434 17.8275 [-1/6*(-1-3*x+(1+6*x+3*x^2)^(1/2))/x revogf] A094434 25.9984 [-6*(2*x-1)/(6*x^2-6*x+1) lgdogf] A094434 7.81937 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=0,a(1)=2} ogf] A094506 10.8853 [-4*(-123+704*x+3072*x^2)/(96*x+11)/(4*x-1)/(32*x-1) lgdogf] A094506 11.0977 [4*(96*x+11)/(32*x-1)/(4*x-1) ogf] A094506 12.0685 [-1/64*(-11-9*x+(121+294*x+49*x^2)^(1/2))/(x-3) revogf] A094506 5.83487 [(931*f(x)+19552)*(128*f(x)*x^2-36*f(x)*x+f(x)-384*x-44) ogf] A094506 6.35935 [{-a(n+2)+36*a(n+1)-128*a(n),a(0)=44,a(1)=1968} ogf] A094539 3.95577 [-x^2*(281*x^12-1132*x^10-699*x^8-172*x^6-208*x^4+122*x^2+61)/(3*x-1)/(3677*x^12-183*x^8-574*x^4+61) ogf] A094554 4.83054 [{-a(n+4)+2*a(n+3)+5*a(n+2)-6*a(n+1),a(0)=1,a(1)=0,a(2)=3,a(3)=2} ogf] A094554 5.06241 [(-2783+4970*f(x))*(6*f(x)*x^3-5*f(x)*x^2-2*x^3-2*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A094554 9.17103 [(2*x^3-2*x^2-2*x+1)/(x-1)/(3*x-1)/(2*x+1) ogf] A094554 9.88752 [2*x*(3+8*x^2+x^3-9*x)/(x-1)/(3*x-1)/(2*x+1)/(2*x^3-2*x^2-2*x+1) lgdogf] A094555 10.5092 [-x*(x^2+x-1)/(x-1)/(3*x-1)/(2*x+1) ogf] A094555 11.2184 [-(1+8*x+12*x^3+6*x^4-21*x^2)/(x-1)/(3*x-1)/(2*x+1)/(x^2+x-1) lgdogf] A094555 5.21451 [{-a(n+4)+2*a(n+3)+5*a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=6} ogf] A094555 5.74035 [-(5*f(x)+1)*(6*f(x)*x^3-5*f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-x) ogf] A094556 10.4067 [x*(2*x^2-2*x+1)/(x-1)/(3*x-1)/(2*x+1) ogf] A094556 10.6313 [-2*x*(-7-12*x^2+6*x^3+16*x)/(x-1)/(3*x-1)/(2*x+1)/(2*x^2-2*x+1) lgdogf] A094556 5.20336 [{-a(n+4)+2*a(n+3)+5*a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=0,a(3)=7} ogf] A094556 5.45514 [-(1065*f(x)+133)*(6*f(x)*x^3-5*f(x)*x^2-2*x^3-2*f(x)*x+2*x^2+f(x)-x) ogf] A094567 13.1223 [-(2*x-1)/(x+1)/(x^2-7*x+1) ogf] A094567 16.2648 [-(4*x+1)*(x-2)^2/(2*x-1)/(x+1)/(x^2-7*x+1) lgdogf] A094567 6.10074 [-(15219*f(x)-1139)*(f(x)*x^3-6*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A094567 6.15473 [{-a(n+3)+6*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=30} ogf] A094569 13.6472 [-(x-2)/(x+1)/(x^2-7*x+1) ogf] A094569 6.34476 [{-a(n+3)+6*a(n+2)+6*a(n+1)-a(n),a(0)=2,a(1)=11,a(2)=78} ogf] A094569 6.45807 [(417303*f(x)-10078)*(f(x)*x^3-6*f(x)*x^2-6*f(x)*x+f(x)+x-2) ogf] A094569 6.51084 [-(11+24*x+2*x^3-12*x^2)/(x-2)/(x+1)/(x^2-7*x+1) lgdogf] A094584 11.4990 [-(2*x+1)/(x-1)/(x^2+x-1)^2 ogf] A094584 15.4803 [-(-5-3*x+8*x^3+3*x^2)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A094586 10.5786 [-(2*x-1)*(x^4-2*x^3-x^2+2*x+5)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A094586 5.10729 [(242*f(x)+5)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-x^2-f(x)+x+1) ogf] A094586 9.69646 [(x^2-x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A094588 16.4538 [-(-3-x+4*x^3-3*x^2)/(x-1)/(2*x+1)/(x^2+x-1) lgdogf] A094588 5.31985 [(25*f(x)+13)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)-x) ogf] A094588 9.83810 [-x*(2*x+1)*(x-1)/(x^2+x-1)^2 ogf] A094616 4.54694 [-(3892*f(x)-205167)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x+4*x^2+f(x)-x-1) ogf] A094616 9.15794 [-(4*x^2-x-1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A094616 9.51251 [-2*(-4+17*x-19*x^3+24*x^4-14*x^2)/(x-1)/(3*x-1)/(2*x-1)/(4*x^2-x-1) lgdogf] A094618 4.7194 [(4*f(x)+435)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x-7*x^2+f(x)+7*x-2) ogf] A094618 8.84059 [(7*x^2-7*x+2)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A094618 9.04127 [-(7-47*x-161*x^3+84*x^4+125*x^2)/(x-1)/(3*x-1)/(2*x-1)/(7*x^2-7*x+2) lgdogf] A094620 11.0084 [x*(20*x^2+22*x+11)/(x-1)/(x+1)/(10*x^2-1) ogf] A094620 6.26341 [(67988657*f(x)-69266915)*(10*f(x)*x^4-11*f(x)*x^2-20*x^3-22*x^2+f(x)-11*x) ogf] A094620 7.05823 [-2*(-11-141*x+220*x^3+200*x^5+330*x^4-121*x^2)/(x-1)/(x+1)/(10*x^2-1)/(20*x^2+22*x+11) lgdogf] A094621 5.26959 [-(377942*f(x)-1382735)*(10*f(x)*x^4-11*f(x)*x^2-20*x^3-13*x^2+f(x)-11*x) ogf] A094621 7.22628 [-(-13-282*x+440*x^3+400*x^5+390*x^4-143*x^2)/(x-1)/(x+1)/(10*x^2-1)/(20*x^2+13*x+11) lgdogf] A094621 9.34155 [x*(20*x^2+13*x+11)/(x-1)/(x+1)/(10*x^2-1) ogf] A094622 10.1072 [x*(20*x+11)/(x-1)/(10*x^2-1) ogf] A094622 11.0365 [-(-31-220*x+400*x^3+130*x^2)/(20*x+11)/(x-1)/(10*x^2-1) lgdogf] A094622 5.13785 [(60407*f(x)+226678)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x-20*x^2+f(x)-11*x) ogf] A094622 5.36123 [{-a(n+3)+a(n+2)+10*a(n+1)-10*a(n),a(0)=0,a(1)=11,a(2)=31} ogf] A094623 10.5150 [x*(10*x+1)/(x-1)/(10*x^2-1) ogf] A094623 11.9470 [-(-11-20*x+200*x^3-70*x^2)/(x-1)/(10*x+1)/(10*x^2-1) lgdogf] A094623 5.53421 [(779*f(x)+980)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x-10*x^2+f(x)-x) ogf] A094623 5.53421 [{a(n+3)-a(n+2)-10*a(n+1)+10*a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A094624 11.5869 [x*(x^2+11*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A094624 6.6211 [-(58780*f(x)+45331)*(10*f(x)*x^4-11*f(x)*x^2-x^3-11*x^2+f(x)-x) ogf] A094624 8.06810 [-(-11-24*x+40*x^3+20*x^5+330*x^4-121*x^2)/(x-1)/(x+1)/(x^2+11*x+1)/(10*x^2-1) lgdogf] A094625 5.3923 [-(4286392*f(x)+6837335)*(10*f(x)*x^4-11*f(x)*x^2-11*x^3-22*x^2+f(x)-2*x) ogf] A094625 7.48487 [-2*(-11-33*x+40*x^3+110*x^5+330*x^4-121*x^2)/(x-1)/(x+1)/(10*x^2-1)/(11*x^2+22*x+2) lgdogf] A094625 9.70615 [x*(11*x^2+22*x+2)/(x-1)/(x+1)/(10*x^2-1) ogf] A094626 12.8205 [x*(x+1)/(x-1)/(10*x^2-1) ogf] A094626 12.9659 [-2*(-1-10*x+10*x^3+10*x^2)/(10*x^2-1)/(x-1)/(x+1) lgdogf] A094626 6.69388 [{-a(n+3)+a(n+2)+10*a(n+1)-10*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A094626 6.6939 [-(2*f(x)+1)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x-x^2+f(x)-x) ogf] A094627 10.0654 [(x+1)^2/(x-1)/(10*x^2-1) ogf] A094627 13.2180 [-(-3-19*x+10*x^3+30*x^2)/(10*x^2-1)/(x-1)/(x+1) lgdogf] A094627 5.07295 [-(17705*f(x)+13644)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x-x^2+f(x)-2*x-1) ogf] A094627 5.51408 [{-a(n+3)+a(n+2)+10*a(n+1)-10*a(n),a(0)=1,a(1)=3,a(2)=14} ogf] A094628 14.4121 [-(13*x+4)/(10*x^2-1) ogf] A094628 15.9739 [-(13+80*x+130*x^2)/(13*x+4)/(10*x^2-1) lgdogf] A094628 15.9739 [(-2+((5*x+4)*(1+2*x))^(1/2))/(13+10*x) revogf] A094628 8.60723 [(80*f(x)-151)*(10*f(x)*x^2-f(x)+13*x+4) ogf] A094628 9.38970 [{a(n+2)-10*a(n),a(0)=4,a(1)=13} ogf] A094629 14.4121 [-(11*x+2)/(10*x^2-1) ogf] A094629 15.9739 [-(11+40*x+110*x^2)/(11*x+2)/(10*x^2-1) lgdogf] A094629 16.4056 [(-1+((x+1)*(1+10*x))^(1/2))/(11+10*x) revogf] A094629 8.72846 [(40*f(x)+41)*(10*f(x)*x^2-f(x)+11*x+2) ogf] A094629 9.38970 [{a(n+2)-10*a(n),a(0)=2,a(1)=11} ogf] A094630 11.4213 [(f(x)-1)^2*(-5*x^4+f(x)-1) ogf] A094632 4.57755 [-(54*f(x)+133)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+x^3-f(x)*x+4*x^2+f(x)+x-1) ogf] A094632 8.56062 [-(x^3+4*x^2+x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A094632 8.89425 [-x*(6-18*x^2+4*x^5+32*x^4+11*x^3)/(4*x^2+2*x-1)/(x^2-x-1)/(x^3+4*x^2+x-1) lgdogf] A094633 4.82769 [-(65*f(x)-2108)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-f(x)*x+6*x^2+f(x)+x-2) ogf] A094633 9.26231 [-(1+16*x-36*x^3+48*x^5+11*x^2)/(3*x+2)/(2*x-1)/(x^2-x-1)/(4*x^2+2*x-1) lgdogf] A094633 9.58542 [-(3*x+2)*(2*x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A094648 11.5040 [(2*x^2-2*x-3)/(x^3+2*x^2-x-1) ogf] A094648 13.1156 [-(1-8*x-4*x^3+2*x^4-11*x^2)/(2*x^2-2*x-3)/(x^3+2*x^2-x-1) lgdogf] A094648 6.26559 [{-a(n+3)-a(n+2)+2*a(n+1)+a(n),a(0)=3,a(1)=-1,a(2)=5} ogf] A094648 6.32203 [(5*f(x)-3)*(f(x)*x^3+2*f(x)*x^2-f(x)*x-2*x^2-f(x)+2*x+3) ogf] A094649 5.20201 [-(3*f(x)-5)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*x^3-f(x)*x+6*x^2+f(x)+3*x-4) ogf] A094649 8.66720 [-(-1-12*x+8*x^3+2*x^6-12*x^5-15*x^4+21*x^2)/(x-1)/(2*x^3-6*x^2-3*x+4)/(x^3+3*x^2-1) lgdogf] A094649 9.52575 [(2*x^3-6*x^2-3*x+4)/(x-1)/(x^3+3*x^2-1) ogf] A094650 6.71205 [-(1-16*x+3*x^8-12*x^7+36*x^3-45*x^6-32*x^5+64*x^4-31*x^2)/(3*x^4-6*x^3-12*x^2+4*x+5)/(x^5+3*x^4-3*x^3-4*x^2+x+1) lgdogf] A094650 7.55098 [(3*x^4-6*x^3-12*x^2+4*x+5)/(x^5+3*x^4-3*x^3-4*x^2+x+1) ogf] A094659 5.16912 [-(f(x)-1)*(2*f(x)*x^4+3*f(x)*x^3-4*f(x)*x^2-x^3-f(x)*x+2*x^2+f(x)+x-1) ogf] A094659 9.46555 [(x^3-2*x^2-x+1)/(2*x-1)/(x^3+2*x^2-x-1) ogf] A094659 9.67055 [-2*x*(-2+2*x^2+x^5-4*x^4-4*x^3+4*x)/(2*x-1)/(x^3-2*x^2-x+1)/(x^3+2*x^2-x-1) lgdogf] A094667 5.98786 [(7*f(x)-1)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A094667 7.46842 [-2*(-2+18*x+90*x^3+15*x^5-60*x^4-60*x^2)/(x-1)/(3*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A094667 8.59417 [(3*x-1)*(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A094686 17.2148 [-1/(x^2+x+1)/(x^2+x-1) ogf] A094686 20.0947 [-2*x*(x+1)*(2*x+1)/(x^2+x+1)/(x^2+x-1) lgdogf] A094686 7.52102 [-(f(x)-2)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2-f(x)+1) ogf] A094687 13.4583 [x^2/(2*x-1)/(x+1)/(x^2+x-1) ogf] A094687 15.6954 [-(-2-4*x+8*x^3+9*x^2)/(2*x-1)/(x+1)/(x^2+x-1) lgdogf] A094687 5.89494 [(2*f(x)+1)*(2*f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)) ogf] A094688 16.4792 [x/(3*x-1)/(x^2+x-1) ogf] A094688 20.1745 [-(-4+4*x+9*x^2)/(3*x-1)/(x^2+x-1) lgdogf] A094688 6.08691 [{a(n+3)-4*a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A094688 6.82471 [(4*f(x)+1)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A094703 12.6370 [1/6*(-1-8*x+(1+28*x+148*x^2)^(1/2))/(1+7*x) revogf] A094703 13.5847 [-(11+42*x+63*x^2)/(3*x+1)/(21*x^2+8*x-1) lgdogf] A094703 15.1740 [-(3*x+1)/(21*x^2+8*x-1) ogf] A094703 7.93188 [(130*f(x)-9)*(21*f(x)*x^2+8*f(x)*x-f(x)+3*x+1) ogf] A094703 8.30958 [{a(n+2)-8*a(n+1)-21*a(n),a(0)=1,a(1)=11} ogf] A094704 13.2157 [x/(10*x-1)/(x^2+x-1) ogf] A094704 15.1201 [-(-11+18*x+30*x^2)/(10*x-1)/(x^2+x-1) lgdogf] A094704 4.98489 [{a(n+3)-11*a(n+2)+9*a(n+1)+10*a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A094704 5.3611 [-(11*f(x)+1)*(10*f(x)*x^3+9*f(x)*x^2-11*f(x)*x+f(x)-x) ogf] A094705 16.7308 [-2*(-2+x+9*x^2)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A094705 17.6596 [x/(3*x-1)/(2*x-1)/(x+1) ogf] A094705 7.15931 [{a(n+3)-4*a(n+2)+a(n+1)+6*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A094705 8.02709 [(4*f(x)+1)*(6*f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A094706 15.6392 [x/(2*x-1)/(x^2+2*x-1) ogf] A094706 18.7477 [-2*(-2+3*x+3*x^2)/(2*x-1)/(x^2+2*x-1) lgdogf] A094706 6.34023 [{a(n+3)-4*a(n+2)+3*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A094706 6.70252 [-(79*f(x)+12)*(2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A094707 10.6141 [x^2*(x+1)/(x-1)/(x^4+x^2-1) ogf] A094707 15.8725 [-2*(-1-x-x^3+2*x^5+x^4+x^2)/(x-1)/(x+1)/(x^4+x^2-1) lgdogf] A094715 7.25151 [x*(2+3*x^7-8*x^6-8*x^2-26*x^5+6*x^4+24*x^3+3*x)/(2*x-1)/(x^2-x+1)/(3*x^2+3*x+1)/(x^5-x^4+x^3+2*x^2-1) lgdogf] A094715 7.98998 [(x^5-x^4+x^3+2*x^2-1)/(2*x-1)/(x^2-x+1)/(3*x^2+3*x+1) ogf] A094717 6.12887 [-(2*x^5-2*x^4+5*x^3-8*x^2+5*x-1)/(3*x-1)/(x-1)/(x^2+x+1)/(3*x^2-3*x+1) ogf] A094723 11.5923 [-(x^2+x-1)/(2*x-1)/(x^2+2*x-1) ogf] A094723 12.8456 [-(3-8*x+4*x^3+2*x^4+x^2)/(2*x-1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A094723 6.09597 [-(19*f(x)-3)*(2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1) ogf] A094723 6.31369 [{a(n+3)-4*a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A094726 13.6568 [-(3*x+1)/(9*x^2+2*x-1) ogf] A094726 14.3337 [1/6*(-1-2*x+(1+16*x+40*x^2)^(1/2))/(3*x+1) revogf] A094726 15.8425 [-(5+18*x+27*x^2)/(3*x+1)/(9*x^2+2*x-1) lgdogf] A094726 7.14601 [(28*f(x)-3)*(9*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A094726 7.49459 [{a(n+2)-2*a(n+1)-9*a(n),a(0)=1,a(1)=5} ogf] A094729 11.0908 [-x*(12*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A094729 5.62940 [{-a(n+4)+6*a(n+3)-11*a(n+2)+6*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=7} ogf] A094729 6.2973 [(26*f(x)-1)*(6*f(x)*x^3-11*f(x)*x^2+12*x^3+6*f(x)*x-5*x^2-f(x)+x) ogf] A094729 9.92945 [-(1+2*x-60*x^3+72*x^4+x^2)/(x-1)/(3*x-1)/(2*x-1)/(12*x^2-5*x+1) lgdogf] A094730 4.57789 [-x*(5040*x^5-2686*x^4+843*x^3-193*x^2+21*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A094734 11.6835 [-x*(9*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A094734 11.7078 [-(1-4*x-60*x^3+54*x^4+19*x^2)/(x-1)/(3*x-1)/(2*x-1)/(9*x^2-5*x+1) lgdogf] A094734 5.84176 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=4} ogf] A094734 6.37282 [-(47*f(x)-7)*(6*f(x)*x^3-11*f(x)*x^2+9*x^3+6*f(x)*x-5*x^2-f(x)+x) ogf] A094735 5.21819 [-x*(1960*x^5-1695*x^4+731*x^3-176*x^2+21*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A094759 12.1088 [2*(1-297*x^26+891*x^27-891*x^28+297*x^29)/(x-1)/(22*x^29-44*x^28+22*x^27-1) lgdogf] A094759 13.0335 [-(22*x^29-44*x^28+22*x^27-1)/(x-1)^2 ogf] A094766 10.4486 [(15-6*x+64*x^3+12*x^5-46*x^4-33*x^2)/(x-1)/(6*x^5-16*x^4+16*x^3-15*x^2+18*x-11) lgdogf] A094766 9.34538 [(6*x^5-16*x^4+16*x^3-15*x^2+18*x-11)/(x-1)^3 ogf] A094788 10.2908 [-(2*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A094788 5.10491 [(1054*f(x)-47)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A094788 9.63045 [-2*(3*x-1)*(5*x^3-15*x^2+12*x-3)/(2*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A094789 11.9645 [(x-1)/(x^3-6*x^2+5*x-1) ogf] A094789 15.5311 [-(2*x-1)*(x-2)^2/(x-1)/(x^3-6*x^2+5*x-1) lgdogf] A094789 5.61167 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A094789 5.87147 [-(61*f(x)+3)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)-x+1) ogf] A094790 11.7216 [(2*x-1)/(x^3-6*x^2+5*x-1) ogf] A094790 12.4157 [-(-3+12*x+4*x^3-15*x^2)/(2*x-1)/(x^3-6*x^2+5*x-1) lgdogf] A094790 5.54682 [{a(n+3)-5*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A094790 5.64766 [-(122*f(x)+13)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)-2*x+1) ogf] A094792 11.1201 [(x^3+3*x+2)/(x-1)^4 ogf] A094792 20.3387 [-(11+9*x+x^3+3*x^2)/(x-1)/(x^3+3*x+2) lgdogf] A094792 5.64182 [{a(n+1)+(-n-7)*a(n+2)+(n+3)*a(n+3),a(0)=2,a(1)=11,a(2)=32} ogf] A094792 5.76907 [(584*f(x)+569)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)-3*x-2) ogf] A094793 13.6432 [-(53+44*x+4*x^3+x^4+18*x^2)/(x-1)/(9+8*x+6*x^2+x^4) lgdogf] A094793 5.18096 [{-a(n+1)+(n+8)*a(n+2)+(-n-3)*a(n+3),a(0)=9,a(1)=53,a(2)=181} ogf] A094793 8.15853 [-(x^4+6*x^2+8*x+9)/(x-1)^5 ogf] A094794 5.05095 [{-a(n+1)+(n+9)*a(n+2)+(-n-3)*a(n+3),a(0)=44,a(1)=309,a(2)=1214} ogf] A094794 6.54753 [(x^5+10*x^3+20*x^2+45*x+44)/(x-1)^6 ogf] A094794 9.76991 [-(309+265*x+30*x^3+x^5+5*x^4+110*x^2)/(x-1)/(44+45*x+10*x^3+20*x^2+x^5) lgdogf] A094795 4.85297 [{-a(n+1)+(n+10)*a(n+2)+(-n-3)*a(n+3),a(0)=265,a(1)=2119,a(2)=9403} ogf] A094795 5.37965 [-(x^6+15*x^4+40*x^3+135*x^2+264*x+265)/(x-1)^7 ogf] A094795 7.48289 [-(2119+1854*x+220*x^3+x^6+6*x^5+45*x^4+795*x^2)/(x-1)/(265+264*x+40*x^3+15*x^4+135*x^2+x^6) lgdogf] A094797 11.5625 [-(-2+22*x+990*x^3-281*x^2)/(x-1)/(10*x-1)/(99*x^2-19*x+1) lgdogf] A094797 5.00779 [-(2339280*f(x)-1788821)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x+99*x^2-f(x)-19*x+1) ogf] A094797 5.68681 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=1,a(1)=2,a(2)=21} ogf] A094797 9.86829 [-(99*x^2-19*x+1)/(x-1)/(10*x-1)^2 ogf] A094803 10.1239 [-(x^2-3*x+1)/(2*x-1)/(2*x^2-4*x+1) ogf] A094803 5.27463 [-(230*f(x)+67)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A094803 5.55471 [{a(n+3)-6*a(n+2)+10*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A094803 9.75883 [-(3-18*x-24*x^3+4*x^4+36*x^2)/(2*x-1)/(x^2-3*x+1)/(2*x^2-4*x+1) lgdogf] A094806 11.7775 [-(-5+20*x+8*x^3-22*x^2)/(x-1)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A094806 13.4547 [(x-1)/(2*x-1)/(2*x^2-4*x+1) ogf] A094806 6.37330 [{-a(n+3)+6*a(n+2)-10*a(n+1)+4*a(n),a(0)=1,a(1)=5,a(2)=20} ogf] A094806 6.66565 [-(79*f(x)-4)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x-f(x)-x+1) ogf] A094811 17.1674 [-2*(3-10*x+6*x^2)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A094811 17.9580 [-1/(2*x-1)/(2*x^2-4*x+1) ogf] A094811 5.98599 [{a(n+3)-6*a(n+2)+10*a(n+1)-4*a(n),a(0)=1,a(1)=6,a(2)=26} ogf] A094811 6.62526 [(113*f(x)-18)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A094817 5.03192 [-(394*f(x)+213)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-6*x+2) ogf] A094817 5.29675 [{-a(n+3)+6*a(n+2)-10*a(n+1)+4*a(n),a(0)=2,a(1)=6,a(2)=19} ogf] A094817 8.82265 [-2*(3-17*x-24*x^3+6*x^4+33*x^2)/(2*x-1)/(2*x^2-4*x+1)/(3*x^2-6*x+2) lgdogf] A094817 9.73919 [-(3*x^2-6*x+2)/(2*x-1)/(2*x^2-4*x+1) ogf] A094818 7.62533 [-(x^10+x^9+3*x^8+3*x^7+5*x^6+4*x^5+6*x^4+3*x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^2+1)/(x^2+x+1) ogf] A094821 11.5905 [-2*(-2+7*x+2*x^3-6*x^2)/(x-1)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A094821 5.2507 [(394*f(x)+47)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+x^2-f(x)-2*x+1) ogf] A094821 5.29675 [{a(n+3)-6*a(n+2)+10*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A094821 9.73919 [-(x-1)^2/(2*x-1)/(2*x^2-4*x+1) ogf] A094822 6.68818 [64-288*x+324*x^2+(-48+240*x-297*x^2)*f(x)+(12-66*x+90*x^2)*f(x)^2+(6*x-1-9*x^2)*f(x)^3 lgdegf] A094823 7.30070 [x*(4*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A094825 10.4056 [-(7-42*x-60*x^3+15*x^4+81*x^2)/(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A094825 10.4422 [-(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A094825 5.02181 [-(7259*f(x)-59)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A094826 12.0252 [(3*x-1)/(x^3-9*x^2+6*x-1) ogf] A094826 12.4893 [-3*(-1+6*x+2*x^3-10*x^2)/(3*x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094826 5.69052 [{a(n+3)-6*a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A094826 6.12824 [(7*f(x)+20)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-3*x+1) ogf] A094827 4.59855 [(83*f(x)+1)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2-7*f(x)*x-x^2+f(x)+3*x-1) ogf] A094827 8.14103 [-(-4+28*x+64*x^3+2*x^5-19*x^4-68*x^2)/(x-1)/(x^2-3*x+1)/(x^3-9*x^2+6*x-1) lgdogf] A094827 8.54941 [(x^2-3*x+1)/(x-1)/(x^3-9*x^2+6*x-1) ogf] A094828 10.0030 [-(5-30*x-44*x^3+6*x^4+60*x^2)/(x-1)/(2*x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094828 4.75495 [-(2753*f(x)-28)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A094828 9.88727 [-(2*x-1)/(x-1)/(x^3-9*x^2+6*x-1) ogf] A094829 15.7622 [-1/(x^3-9*x^2+6*x-1) ogf] A094829 17.8331 [-3*(2-6*x+x^2)/(x^3-9*x^2+6*x-1) lgdogf] A094829 5.16107 [{a(n+3)-6*a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=27} ogf] A094829 5.66215 [(2036*f(x)-11)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A094831 10.2468 [-(2-12*x-8*x^3+3*x^4+21*x^2)/(x-1)/(3*x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094831 10.2899 [-(3*x-1)*(x-1)/(x^3-9*x^2+6*x-1) ogf] A094831 5.27463 [-(525*f(x)-137)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A094831 5.60430 [{-a(n+3)+6*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A094832 10.7120 [-(x^2-3*x+1)/(x^3-9*x^2+6*x-1) ogf] A094832 11.4385 [-(3-16*x-6*x^3+x^4+24*x^2)/(x^2-3*x+1)/(x^3-9*x^2+6*x-1) lgdogf] A094832 5.63303 [-(21*f(x)-1)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A094832 5.78259 [{-a(n+3)+6*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A094833 11.5729 [(2*x-1)/(x^3-9*x^2+6*x-1) ogf] A094833 12.2582 [-(-4+18*x+4*x^3-21*x^2)/(2*x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094833 5.42800 [{-a(n+3)+6*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A094833 5.6272 [-(176*f(x)+9)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-2*x+1) ogf] A094834 11.8727 [(x-1)/(x^3-9*x^2+6*x-1) ogf] A094834 13.1179 [-(-5+18*x+2*x^3-12*x^2)/(x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094834 5.56862 [{-a(n+3)+6*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=21} ogf] A094834 5.61835 [-(7239*f(x)+170)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-x+1) ogf] A094835 10.3723 [-(1-2*x+2701*x^2)/(2701*x-1)/(x^2-2702*x+1) lgdogf] A094835 4.14182 [-(3647700*f(x)-94840187)*(f(x)*x^2-2702*f(x)*x+f(x)+70226*x-26) ogf] A094835 5.23679 [{a(n+2)-2702*a(n+1)+a(n),a(0)=26,a(1)=26} ogf] A094835 8.10926 [-(-13-1351*x+(169-35100*x+1825200*x^2)^(1/2))/(70226+x) revogf] A094835 8.59625 [-26*(2701*x-1)/(x^2-2702*x+1) ogf] A094836 10.0821 [-(53*x+1)*(51*x-1)/(2703*x-1)/(x^2-2702*x+1) lgdogf] A094836 10.5492 [15*(2703*x-1)/(x^2-2702*x+1) ogf] A094836 5.22527 [(7306208*f(x)+109593105)*(f(x)*x^2-2702*f(x)*x+f(x)-40545*x+15) ogf] A094836 6.42649 [{-a(n+2)+2702*a(n+1)-a(n),a(0)=-15,a(1)=15} ogf] A094836 6.93143 [1/2/(-40545+x)*(-15+2702*x+15^(1/2)*((520*x+3)*(936*x+5))^(1/2)) revogf] A094854 4.52942 [(23*f(x)-3)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2+2*x^3-7*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A094854 7.14073 [-(2-16*x-76*x^3+2*x^6-14*x^5+55*x^4+50*x^2)/(x-1)/(2*x-1)/(x^2-3*x+1)/(x^3-9*x^2+6*x-1) lgdogf] A094854 8.02682 [-(2*x-1)*(x^2-3*x+1)/(x-1)/(x^3-9*x^2+6*x-1) ogf] A094855 10.5537 [-(3-16*x-24*x^3+4*x^4+30*x^2)/(x-1)/(2*x-1)/(x^3-9*x^2+6*x-1) lgdogf] A094855 4.97463 [(19*f(x)+2)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2-7*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A094855 9.24862 [(2*x-1)^2/(x-1)/(x^3-9*x^2+6*x-1) ogf] A094856 11.3029 [25-160*x+256*x^2+(-10+72*x-128*x^2)*f(x)+(16*x^2+1-8*x)*f(x)^2 lgdegf] A094856 5.16343 [{(-16*n-32)*a(n+1)+(4*n+13)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=29} ogf] A094864 16.6868 [-2*(-1+2*x+x^3-x^2)/(x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A094864 5.87982 [f(x)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+2*x^3-6*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A094864 9.79971 [-(2*x-1)*(x-1)^2/(x^2-3*x+1)^2 ogf] A094865 14.6104 [-2*(-4+21*x+10*x^3-30*x^2)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A094865 14.9622 [x^3/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A094865 7.5552 [-5*f(x)*x^4+20*f(x)*x^3-21*f(x)*x^2+x^3+8*f(x)*x-f(x) ogf] A094869 27.9071 [-6+25*x+(1-5*x)*f(x) lgdegf] A094869 4.12663 [{(-25*n-50)*a(n+1)+(5*n+16)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=41} ogf] A094875 28.6384 [(1+5*x^4+37*x^36)/(1+x+x^5+x^37) lgdogf] A094895 3.78748 [-(1333504977*f(x)-5769217406)*(544*f(x)*x^3+324*f(x)*x^2+24*f(x)*x+1480*x^2-f(x)+256*x+1) ogf] A094895 4.43943 [{-a(n+3)+24*a(n+2)+324*a(n+1)+544*a(n),a(0)=1,a(1)=280,a(2)=8524} ogf] A094895 6.03157 [-8*(35+451*x+34816*x^3+100640*x^4+6132*x^2)/(-1+34*x)/(8*x+1)/(2*x+1)/(1480*x^2+256*x+1) lgdogf] A094895 7.62831 [-(1480*x^2+256*x+1)/(2*x+1)/(8*x+1)/(34*x-1) ogf] A094905 24.9533 [-7+36*x+(1-6*x)*f(x) lgdegf] A094905 3.69679 [{(-36*n-72)*a(n+1)+(6*n+19)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=55} ogf] A094909 10.6052 [(1+2*x+x^8+2*x^3+x^6+2*x^5+5*x^4+4*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^6-2*x^5+x^2-1) lgdogf] A094909 7.66296 [(x^7-x^6-x^5-x^4+x^3+x^2-1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A094911 28.8041 [(-8+49*x)/(-1+7*x) lgdegf] A094911 3.83743 [{(-49*n-98)*a(n+1)+(7*n+22)*a(n+2)-a(n+3),a(0)=1,a(1)=8,a(2)=71} ogf] A094914 4.07711 [-(2708768*f(x)+12840188755877)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1354363*x^2-f(x)-2708726*x+1354361) ogf] A094914 4.76708 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=1354361,a(1)=1354357,a(2)=1354351} ogf] A094914 7.84456 [-(1354363*x^2-2708726*x+1354361)/(x-1)^3 ogf] A094914 8.67154 [-(1354357-2708726*x+1354363*x^2)/(x-1)/(1354363*x^2-2708726*x+1354361) lgdogf] A094935 22.8830 [-9+64*x+(1-8*x)*f(x) lgdegf] A094935 3.37045 [{(-64*n-128)*a(n+1)+(8*n+25)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=89} ogf] A094938 10.4453 [-1/36*(-1-45*x+(1+162*x+729*x^2)^(1/2))/(-1+18*x) revogf] A094938 10.6664 [(18*x+1)/(36*x-1)/(9*x-1) ogf] A094938 11.1266 [-9*(-7+72*x+648*x^2)/(36*x-1)/(18*x+1)/(9*x-1) lgdogf] A094938 5.74345 [(27*f(x)+22)*(324*f(x)*x^2-45*f(x)*x+f(x)-18*x-1) ogf] A094938 6.07737 [{-a(n+2)+45*a(n+1)-324*a(n),a(0)=1,a(1)=63} ogf] A094943 4.48162 [(292771*f(x)+179222)*(18*f(x)*x^3+15*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+10*x+1) ogf] A094943 4.82933 [{a(n+3)-3*a(n+2)-15*a(n+1)-18*a(n),a(0)=1,a(1)=13,a(2)=72} ogf] A094943 7.61415 [-(13+66*x+360*x^3+150*x^2+324*x^4)/(6*x-1)/(18*x^2+10*x+1)/(3*x^2+3*x+1) lgdogf] A094943 8.61849 [-(18*x^2+10*x+1)/(6*x-1)/(3*x^2+3*x+1) ogf] A094944 10.5386 [-(17+21*x+343*x^3+147*x^2)/(7*x+1)/(7*x-1)/(7*x^2+4*x+1) lgdogf] A094944 4.89546 [-(169*f(x)+399)*(49*f(x)*x^3+21*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+14*x+1) ogf] A094944 5.14651 [{a(n+3)-3*a(n+2)-21*a(n+1)-49*a(n),a(0)=1,a(1)=17,a(2)=121} ogf] A094944 9.26372 [-(7*x+1)^2/(7*x-1)/(7*x^2+4*x+1) ogf] A094951 15.2951 [-(31-84*x+81*x^2)/(3*x-1)/(27*x^2-23*x+6) lgdogf] A094951 5.24296 [(9904*f(x)+18181)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+27*x^2-f(x)-23*x+6) ogf] A094951 5.46701 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=6,a(1)=31,a(2)=144} ogf] A094951 9.84062 [-(27*x^2-23*x+6)/(3*x-1)^3 ogf] A094952 10.2898 [(x^2+11*x+6)/(x-1)^4 ogf] A094952 20.1701 [-(35+35*x+2*x^2)/(x-1)/(x^2+11*x+6) lgdogf] A094952 4.83414 [(2322045792*f(x)+25370674727)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-11*x-6) ogf] A094958 13.0952 [-(x^2+x+1)*(x+1)/(2*x^2-1) ogf] A094958 15.9038 [(-2-8*x+2*x^4-7*x^2)/(x+1)/(x^2+x+1)/(2*x^2-1) lgdogf] A094958 7.77529 [{a(n+4)-2*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=5} ogf] A094958 8.88605 [(f(x)-13)*(2*f(x)*x^2+x^3+2*x^2-f(x)+2*x+1) ogf] A094966 14.0321 [-(-1-6*x+3*x^4+4*x^3-3*x^2)/(x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A094966 14.2395 [x*(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A094966 8.4797 [(f(x)+1)*(f(x)*x^4-3*f(x)*x^2-x^2+f(x)-x) ogf] A094967 11.1366 [-(x-1)*(x+1)^2/(x^2+x-1)/(x^2-x-1) ogf] A094967 12.2298 [-(1+3*x+x^5+x^4-x^3-3*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A094967 8.77057 [(f(x)+2)*(f(x)*x^4-3*f(x)*x^2+x^3+x^2+f(x)-x-1) ogf] A094968 10.2968 [(4*x^2-x-1)/(2*x-1)/(x+1)/(x-1)^2 ogf] A094968 12.0106 [-2*(2-3*x+8*x^4-x^3-2*x^2)/(x-1)/(2*x-1)/(x+1)/(4*x^2-x-1) lgdogf] A094968 3.60648 [{(4*n+6)*a(n+1)+(-2*n+1)*a(n+2)+(-4*n-4)*a(n+3)+(2*n+1)*a(n+4),a(0)=1,a(1)=4,a(2)=7,a(3)=14} ogf] A094968 5.22409 [-(16*f(x)-151)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x-4*x^2-f(x)+x+1) ogf] A095000 49.1183 [-5+x+(1-x)*f(x) lgdegf] A095000 5.54779 [{(-n-2)*a(n+1)+(n+7)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=29} ogf] A095002 5.14312 [{-a(n+3)+9*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=19} ogf] A095002 6.20873 [(4545*f(x)+376)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x+x^2-f(x)-6*x+1) ogf] A095002 9.52741 [-(x^2-6*x+1)/(x-1)/(x^2-8*x+1) ogf] A095002 9.98577 [-(3-16*x+x^4-12*x^3+48*x^2)/(x-1)/(x^2-8*x+1)/(x^2-6*x+1) lgdogf] A095003 11.3612 [(3*x-1)/(x-1)/(x^2-8*x+1) ogf] A095003 12.5566 [-6*(-1+3*x+x^3-5*x^2)/(x-1)/(3*x-1)/(x^2-8*x+1) lgdogf] A095003 5.32869 [{a(n+3)-9*a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=45} ogf] A095003 6.50746 [-(17978*f(x)+1597)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x-f(x)-3*x+1) ogf] A095004 11.6438 [-(x+1)/(x-1)/(x^2-8*x+1) ogf] A095004 13.7531 [-2*(5-9*x+x^3-3*x^2)/(x-1)/(x+1)/(x^2-8*x+1) lgdogf] A095004 5.41333 [{a(n+3)-9*a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=81} ogf] A095004 6.85042 [(178910*f(x)-6801)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x-f(x)+x+1) ogf] A095049 5.63887 [-x^2*(x^18-x^17+x^16-x^15+x^14-x^11+4*x^10-4*x^9+4*x^8+2*x^6-x^5+3*x^4-x^3+2*x^2+1)/(x-1) ogf] A095121 10.9327 [-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-x+1 ogf] A095121 14.6458 [(2*x^2-x+1)/(2*x-1)/(x-1) ogf] A095121 19.5446 [-2*(-1+2*x^2)/(x-1)/(2*x-1)/(2*x^2-x+1) lgdogf] A095121 7.61005 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A095122 7.75613 [-x*(x^3+2*x^2-2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A095122 7.81833 [-(1+6*x+2*x^7+5*x^6-12*x^5+10*x^3-20*x^2)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^3+2*x^2-2*x+1) lgdogf] A095125 11.8419 [-(3+4*x+x^4-2*x^3+2*x^2)/(x^2-x-1)/(x^3-3*x^2-2*x+1) lgdogf] A095125 12.9724 [-(x^2-x-1)/(x^3-3*x^2-2*x+1) ogf] A095125 6.70606 [-(191*f(x)-15)*(f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A095125 7.06532 [{a(n+3)-2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A095126 10.2899 [-(x^2-5*x-4)/(x^3-3*x^2-2*x+1) ogf] A095126 10.7861 [-(13+22*x+x^4-10*x^3+5*x^2)/(x^2-5*x-4)/(x^3-3*x^2-2*x+1) lgdogf] A095126 5.41104 [(1199*f(x)+932)*(f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-5*x-4) ogf] A095126 5.50598 [{a(n+3)-2*a(n+2)-3*a(n+1)+a(n),a(0)=4,a(1)=13,a(2)=37} ogf] A095127 10.4152 [-(x^2-2*x-1)/(x^3-3*x^2-2*x+1) ogf] A095127 11.5240 [-(4+4*x+x^4-4*x^3+5*x^2)/(x^2-2*x-1)/(x^3-3*x^2-2*x+1) lgdogf] A095127 5.62239 [{a(n+3)-2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A095127 5.67258 [(59*f(x)+5)*(f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A095128 11.3676 [-(4+2*x+x^4-2*x^3+2*x^2)/(x^2-x-1)/(x^3-2*x^2-3*x+1) lgdogf] A095128 12.7511 [-(x^2-x-1)/(x^3-2*x^2-3*x+1) ogf] A095128 6.88335 [{a(n+3)-3*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A095128 6.9448 [(69*f(x)-4)*(f(x)*x^3-2*f(x)*x^2-3*f(x)*x+x^2+f(x)-x-1) ogf] A095129 6.73953 [-(1+22*x+288*x^6-240*x^5-4*x^4+104*x^3-99*x^2)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1)/(6*x^2-3*x+1) lgdogf] A095129 7.91147 [-x*(6*x^2-3*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A095130 10.9864 [-x/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A095130 18.3524 [-(-2*x+3*x^2-4*x^3+1+5*x^4)/(x-1)/(1+x^2+x)/(x^2-x+1) lgdogf] A095130 23.0618 [[x^5-x+1] ogf_with_Euler_transform] A095130 5.27693 [f(x)*(f(x)*x^5-f(x)*x^4+f(x)*x^3-f(x)*x^2+f(x)*x-f(x)+x) ogf] A095151 12.1696 [x*(x-2)/(2*x-1)/(x-1)^2 ogf] A095151 19.5247 [-(7-13*x+4*x^2)/(x-1)/(x-2)/(2*x-1) lgdogf] A095151 6.24924 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A095151 6.48285 [(7*f(x)+4)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)+2*x) ogf] A095152 11.6621 [-2*(16-31*x+441*x^3-294*x^2)/(x-1)/(3*x-1)/(7*x-1)/(21*x+1) lgdogf] A095152 12.2849 [-(21*x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A095152 5.55746 [(7205765656*f(x)-13332566457)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)+21*x+1) ogf] A095152 5.93424 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=1,a(1)=32,a(2)=321} ogf] A095153 3.9665 [(751528759219136*f(x)+2758968597475125)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2-26*f(x)*x+f(x)-315*x-35) ogf] A095153 8.09489 [-(-35+392*x+8505*x^4-7488*x^3+306*x^2)/(x-1)/(15*x-1)/(3*x-1)/(9*x+1)/(7*x-1) lgdogf] A095153 8.93858 [35*(9*x+1)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A095154 6.84660 [-21*(465*x^2+82*x+1)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A095155 5.16612 [7*(87885*x^3+20891*x^2+591*x+1)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(63*x-1)/(7*x-1) ogf] A095166 19.7164 [-3*(3+9*x+8*x^2)/(x-1)/(6*x^2+3*x+1) lgdogf] A095166 3.60089 [{(-n-4)*a(n+4)+(3-2*n)*a(n+3)+(21-3*n)*a(n+2)+(30+6*n)*a(n+1),a(0)=1,a(1)=9,a(2)=45,a(3)=155} ogf] A095166 8.22475 [(6*x^2+3*x+1)/(x-1)^6 ogf] A095176 22.1802 [-10+81*x+(1-9*x)*f(x) lgdegf] A095176 3.38026 [{(-81*n-162)*a(n+1)+(9*n+28)*a(n+2)-a(n+3),a(0)=1,a(1)=10,a(2)=109} ogf] A095177 3.96087 [{(-n-2)*a(n+1)+(n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=41} ogf] A095177 34.8771 [-6+x+(1-x)*f(x) lgdegf] A095235 6.79747 [(27+15*x+8*x^10-10*x^9+12*x^8-16*x^7+72*x^5-128*x^4+13*x^3+9*x^2)/(x-1)/(x^10+2*x^8+24*x^5-4*x^4-3*x^3-18*x^2+21*x-24) lgdogf] A095235 8.34599 [-(x^10+2*x^8+24*x^5-4*x^4-3*x^3-18*x^2+21*x-24)/(x-1)^2 ogf] A095262 10.4989 [-(21-104*x+66*x^2+144*x^3)/(3*x+2)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A095262 11.2963 [-(3*x+2)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A095262 5.26525 [(9987937*f(x)-17878788)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x-f(x)+3*x+2) ogf] A095262 5.31025 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=2,a(1)=21,a(2)=137} ogf] A095263 19.3041 [-1/(x^3-2*x^2+3*x-1) ogf] A095263 21.2317 [-(3-4*x+3*x^2)/(-2*x^2-1+3*x+x^3) lgdogf] A095263 6.37725 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A095263 7.21466 [(2*f(x)+3)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A095264 12.3256 [-(2*x+1)/(2*x-1)/(x-1)^2 ogf] A095264 16.4048 [-2*(-3+2*x+4*x^2)/(x-1)/(2*x+1)/(2*x-1) lgdogf] A095264 5.78103 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=19} ogf] A095264 5.93869 [(8529*f(x)-11668)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A095265 10.6496 [(21*x^2+18*x+1)/(x-1)^4 ogf] A095265 18.0924 [-2*(11+48*x+21*x^2)/(x-1)/(21*x^2+18*x+1) lgdogf] A095265 3.67050 [{(n+4)*a(n+4)+(29+17*n)*a(n+3)+(-90+3*n)*a(n+2)+(-63-21*n)*a(n+1),a(0)=1,a(1)=22,a(2)=103,a(3)=284} ogf] A095265 5.43973 [(8860*f(x)+145151)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-18*x-1) ogf] A095266 12.1825 [-6*(7+59*x+71*x^2+13*x^3)/(x-1)/(39*x^3+103*x^2+37*x+1) lgdogf] A095266 7.51254 [-(39*x^3+103*x^2+37*x+1)/(x-1)^5 ogf] A095307 13.2306 [-(x-1)/(2*x-1)/(x^3+2*x^2-x-1) ogf] A095307 13.2603 [-x*(8+6*x^3-2*x^2-13*x)/(x-1)/(2*x-1)/(x^3+2*x^2-x-1) lgdogf] A095307 6.50858 [(631*f(x)+76)*(2*f(x)*x^4+3*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A095308 13.3856 [1/(2*x-1)/(x^3+2*x^2-x-1) ogf] A095308 14.2701 [-(-1-8*x+8*x^3+9*x^2)/(2*x-1)/(x^3+2*x^2-x-1) lgdogf] A095308 5.12415 [-(29623*f(x)+1952)*(2*f(x)*x^4+3*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-1) ogf] A095310 10.5221 [-(x^2-3*x-1)/(x^3-3*x^2-2*x+1) ogf] A095310 11.6447 [-(5+4*x+x^4-6*x^3+8*x^2)/(x^2-3*x-1)/(x^3-3*x^2-2*x+1) lgdogf] A095310 5.48585 [(8203*f(x)+2009)*(f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-3*x-1) ogf] A095310 5.68005 [{a(n+3)-2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=12} ogf] A095311 13.9758 [-(44*x+1)/(x-1)^3 ogf] A095311 29.6016 [-(47+88*x)/(44*x+1)/(x-1) lgdogf] A095311 6.28911 [(41741325*f(x)-1128042541)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+44*x+1) ogf] A095311 6.56255 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=47,a(2)=138} ogf] A095342 12.8819 [-(2*x^2+x+1)/(2*x-1)/(x+1)^2 ogf] A095342 18.0070 [-(1+9*x+4*x^3)/(2*x-1)/(x+1)/(2*x^2+x+1) lgdogf] A095342 7.72912 [(71*f(x)+34)*(2*f(x)*x^3+3*f(x)*x^2+2*x^2-f(x)+x+1) ogf] A095342 7.81135 [{-a(n+3)+3*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A095343 11.7869 [-(1+14*x+9*x^4+6*x^3+13*x^2)/(x+1)/(3*x^2+x-1)/(3*x^2+x+1) lgdogf] A095343 12.2324 [-(3*x^2+x+1)/(x+1)/(3*x^2+x-1) ogf] A095343 7.1881 [(187*f(x)+114)*(3*f(x)*x^3+4*f(x)*x^2+3*x^2-f(x)+x+1) ogf] A095343 7.41751 [{-a(n+3)+4*a(n+1)+3*a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A095344 10.9002 [-(1+18*x+16*x^4+8*x^3+17*x^2)/(x+1)/(4*x^2+x+1)/(4*x^2+x-1) lgdogf] A095344 13.3065 [-(4*x^2+x+1)/(x+1)/(4*x^2+x-1) ogf] A095344 7.81925 [(389*f(x)+268)*(4*f(x)*x^3+5*f(x)*x^2+4*x^2-f(x)+x+1) ogf] A095344 8.06881 [{-a(n+3)+5*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=9} ogf] A095364 7.84516 [-x*(6+28*x^3-14*x^2+4*x^6-17*x^5+12*x^4-12*x)/(2*x-1)/(x+1)/(x^3-3*x^2+1)/(x^3-2*x^2-x+1) lgdogf] A095364 8.25584 [-(x^3-2*x^2-x+1)/(2*x-1)/(x+1)/(x^3-3*x^2+1) ogf] A095367 8.94561 [(x^2+x-1)/(2*x-1)/(x+1)/(x^3-3*x^2+1) ogf] A095367 9.33999 [-x*(x-2)*(6*x^4+10*x^3-9*x^2-6*x+4)/(2*x-1)/(x+1)/(x^2+x-1)/(x^3-3*x^2+1) lgdogf] A095368 10.1912 [-x*(x-2)*(8*x^3-9*x^2-6*x+5)/(x-1)/(2*x-1)/(x+1)/(x^3-3*x^2+1) lgdogf] A095368 9.30661 [(x-1)/(2*x-1)/(x+1)/(x^3-3*x^2+1) ogf] A095369 11.3677 [-(1+10*x+10*x^4-20*x^3-12*x^2)/(2*x-1)/(x+1)/(x^3-3*x^2+1) lgdogf] A095369 11.8081 [-1/(2*x-1)/(x+1)/(x^3-3*x^2+1) ogf] A095372 4.48218 [-(8991*f(x)-710)*(100*f(x)*x^2-101*f(x)*x+f(x)+10*x-1) ogf] A095372 5.10041 [{a(n+2)-101*a(n+1)+100*a(n),a(0)=1,a(1)=91} ogf] A095372 8.66953 [-1/20*(-1-101*x+(1+162*x+9801*x^2)^(1/2))/(1+10*x) revogf] A095372 8.87472 [-(10*x-1)/(100*x-1)/(x-1) ogf] A095372 9.63281 [-(91-200*x+1000*x^2)/(x-1)/(100*x-1)/(10*x-1) lgdogf] A095661 11.1186 [(2*x-3)/(x-1)^5 ogf] A095661 32.2777 [-(-13+8*x)/(x-1)/(2*x-3) lgdogf] A095661 5.12610 [{(3*n+9)*a(n+3)+(-23-5*n)*a(n+2)+(10+2*n)*a(n+1),a(0)=3,a(1)=13,a(2)=35} ogf] A095662 28.2518 [-(-19+12*x)/(x-1)/(2*x-3) lgdogf] A095662 4.67715 [{(3*n+9)*a(n+3)+(-29-5*n)*a(n+2)+(14+2*n)*a(n+1),a(0)=3,a(1)=19,a(2)=70} ogf] A095662 8.09304 [(2*x-3)/(x-1)^7 ogf] A095663 26.4153 [-2*(-11+7*x)/(x-1)/(2*x-3) lgdogf] A095663 4.54892 [{(3*n+9)*a(n+3)+(-32-5*n)*a(n+2)+(16+2*n)*a(n+1),a(0)=3,a(1)=22,a(2)=92} ogf] A095663 7.14831 [-(2*x-3)/(x-1)^8 ogf] A095664 35.9801 [-(-25+16*x)/(x-1)/(2*x-3) lgdogf] A095664 5.89500 [{(3*n+9)*a(n+3)+(-35-5*n)*a(n+2)+(18+2*n)*a(n+1),a(0)=3,a(1)=25,a(2)=117} ogf] A095664 8.38280 [(2*x-3)/(x-1)^9 ogf] A095665 25.2478 [-2*(-14+9*x)/(x-1)/(2*x-3) lgdogf] A095665 4.32111 [{(3*n+9)*a(n+3)+(-38-5*n)*a(n+2)+(20+2*n)*a(n+1),a(0)=3,a(1)=28,a(2)=145} ogf] A095665 5.40139 [-(2*x-3)/(x-1)^10 ogf] A095667 11.2225 [(3*x-4)/(x-1)^5 ogf] A095667 31.2817 [-(-17+12*x)/(x-1)/(3*x-4) lgdogf] A095667 5.14063 [{(4*n+12)*a(n+3)+(-31-7*n)*a(n+2)+(15+3*n)*a(n+1),a(0)=4,a(1)=17,a(2)=45} ogf] A095668 29.8149 [-3*(-7+5*x)/(x-1)/(3*x-4) lgdogf] A095668 4.90133 [{(4*n+12)*a(n+3)+(-35-7*n)*a(n+2)+(18+3*n)*a(n+1),a(0)=4,a(1)=21,a(2)=66} ogf] A095668 9.49632 [-(3*x-4)/(x-1)^6 ogf] A095669 28.6714 [-(-25+18*x)/(x-1)/(3*x-4) lgdogf] A095669 4.71465 [{(4*n+12)*a(n+3)+(-39-7*n)*a(n+2)+(21+3*n)*a(n+1),a(0)=4,a(1)=25,a(2)=91} ogf] A095669 8.21091 [(3*x-4)/(x-1)^7 ogf] A095670 27.8840 [-(-29+21*x)/(x-1)/(3*x-4) lgdogf] A095670 4.55664 [{(4*n+12)*a(n+3)+(-43-7*n)*a(n+2)+(24+3*n)*a(n+1),a(0)=4,a(1)=29,a(2)=120} ogf] A095670 7.25343 [-(3*x-4)/(x-1)^8 ogf] A095671 25.7728 [-3*(-11+8*x)/(x-1)/(3*x-4) lgdogf] A095671 4.38181 [{(4*n+12)*a(n+3)+(-47-7*n)*a(n+2)+(27+3*n)*a(n+1),a(0)=4,a(1)=33,a(2)=153} ogf] A095671 6.27121 [(3*x-4)/(x-1)^9 ogf] A095681 10.6343 [-(3-2*x+6*x^5+5*x^4-6*x^2-4*x^3)/(x-1)/(x^2+x-1)/(x^3+x^2+x-1) lgdogf] A095681 13.2383 [-1/(x-1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A095685 14.9135 [(-15+55*x-25*x^2+x^3)/(x-1)/(x+1)/(x^2-10*x+1) lgdogf] A095685 4.47439 [{-a(n+5)+11*a(n+4)-11*a(n+3)+a(n+2),a(0)=1,a(1)=15,a(2)=160,a(3)=1600,a(4)=15856} ogf] A095685 5.05801 [-(1991*f(x)+234)*(f(x)*x^3+x^4-11*f(x)*x^2+4*x^3+11*f(x)*x+6*x^2-f(x)+4*x+1) ogf] A095685 8.83551 [-(x+1)^4/(x-1)/(x^2-10*x+1) ogf] A095687 18.9775 [-10*x/(5*x-1) ogf] A095687 25.4633 [-1/5*ln(2)+1/5*ln(x+2) revegf] A095687 50.9265 [-5/(-1+5*x) lgdogf] A095687 7.90729 [{-a(n+2)+5*a(n+1),a(0)=0,a(1)=10} ogf] A095687 9.48876 [-f(x)*(5*f(x)*x-f(x)+10*x) ogf] A095694 4.28911 [-(2*x^3-3*x^2+15*x+1)/(x-1)^7 ogf] A095694 9.02253 [-(22+84*x-9*x^2+8*x^3)/(x-1)/(2*x^3-3*x^2+15*x+1) lgdogf] A095695 4.09674 [-(11*x^4-39*x^3+51*x^2+76*x+6)/(x-1)^9 ogf] A095695 7.83873 [-5*(26+142*x+11*x^4+48*x^2-38*x^3)/(x-1)/(11*x^4-39*x^3+51*x^2+76*x+6) lgdogf] A095696 4.22591 [-(878*x^5-1705*x^4+455*x^3+715*x^2+580*x+22)/(x-1)^11 ogf] A095696 7.36199 [-3*(274+2410*x+1756*x^5-2515*x^4+2600*x^2-1060*x^3)/(x-1)/(878*x^5-1705*x^4+455*x^3+715*x^2+580*x+22) lgdogf] A095698 10.5092 [-2*(6*x^3-4*x-1)*(2*x^3+x^2-1)/(2*x^2-1)/(4*x^3+x^2-2*x-1)/(3*x^2-1) lgdogf] A095698 11.2130 [-(4*x^3+x^2-2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A095698 7.14555 [(3*f(x)+22)*(6*f(x)*x^4-5*f(x)*x^2+4*x^3+x^2+f(x)-2*x-1) ogf] A095722 3.77067 [{(-n-2)*a(n+1)+(n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=89} ogf] A095722 33.4319 [-9+x+(1-x)*f(x) lgdegf] A095740 3.85973 [{(-n-2)*a(n+1)+(n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=10,a(2)=109} ogf] A095740 32.5819 [-10+x+(1-x)*f(x) lgdegf] A095752 3.26511 [-(230629148964*f(x)-109288018795)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-22*f(x)*x+10*x^2+f(x)+33*x-7) ogf] A095752 6.86509 [-(2*x+7)*(5*x-1)/(10*x-1)^2/(x-1)^2 ogf] A095752 8.88379 [-(121-663*x+990*x^2+200*x^3)/(x-1)/(2*x+7)/(5*x-1)/(10*x-1) lgdogf] A095761 2.99318 [(608535390947*f(x)-135161137400)*(100*f(x)*x^3-201*f(x)*x^2+102*f(x)*x-f(x)+21*x+1) ogf] A095761 3.18630 [{a(n+3)-102*a(n+2)+201*a(n+1)-100*a(n),a(0)=1,a(1)=123,a(2)=12345} ogf] A095761 6.58502 [-(21*x+1)/(100*x-1)/(x-1)^2 ogf] A095761 8.19492 [-3*(-41+93*x+1400*x^2)/(x-1)/(21*x+1)/(100*x-1) lgdogf] A095764 12.8229 [(88*x^2+x+11)/(x+1)/(x-1)^2 ogf] A095764 15.2409 [-2*(6+105*x+45*x^2+44*x^3)/(x-1)/(x+1)/(88*x^2+x+11) lgdogf] A095764 6.26235 [(39046400*f(x)+3641386889)*(f(x)*x^3-f(x)*x^2-f(x)*x-88*x^2+f(x)-x-11) ogf] A095764 6.96416 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=11,a(1)=12,a(2)=111} ogf] A095768 11.0400 [-(4*x^2-6*x+3)/(2*x-1)/(x-1)^2 ogf] A095768 12.9379 [-2*(-3+8*x-8*x^2+4*x^3)/(x-1)/(2*x-1)/(4*x^2-6*x+3) lgdogf] A095768 5.70709 [-(65*f(x)-112)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-6*x+3) ogf] A095768 5.95963 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=3,a(1)=6,a(2)=13} ogf] A095776 20.8631 [-3*(1+9*x^2)/(-1+9*x+27*x^3) lgdogf] A095776 3.54851 [{(-n-4)*a(n+4)+(30+9*n)*a(n+3)+(54+27*n)*a(n+1),a(0)=1,a(1)=3,a(2)=18,a(3)=135} ogf] A095776 9.31486 [-27*f(x)^3*x^3-9*f(x)^3*x+f(x)^3-1 ogf] A095791 4.81052 [-(x^41+x^38+x^36+x^34-2*x^33-x^25-2*x^20-x^17-x^15-x^13-x^12-x^7-x^4-x^2-1)/(x-1)/(x^34-x^13-1) ogf] A095794 13.5895 [(x^2-3*x-1)/(x-1)^3 ogf] A095794 26.2384 [-(-6-4*x+x^2)/(x-1)/(x^2-3*x-1) lgdogf] A095794 7.14619 [(351*f(x)-1271)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+3*x+1) ogf] A095794 7.33591 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=14} ogf] A095795 12.6261 [(3*x^3-5*x^2-5*x-2)/(x^4+x^2-1) ogf] A095795 7.59902 [-(12*f(x)+139)*(f(x)*x^4+f(x)*x^2-3*x^3+5*x^2-f(x)+5*x+2) ogf] A095796 12.6433 [-2*(-13-33*x+3*x^2+x^3)/(x-1)/(2*x^3-22*x-1) lgdogf] A095796 3.82578 [(1536779601*f(x)+36048976379)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x+f(x)-22*x-1) ogf] A095796 8.14346 [-(2*x^3-22*x-1)/(x-1)^4 ogf] A095797 5.01915 [-(16*x^14-6*x^13+2*x^12+24*x^11+10*x^10-7*x^9+5*x^8-2*x^7-10*x^6-7*x^5-x^3-x^2-x-1)/(12*x^16+30*x^12-24*x^8-4*x^4+1) ogf] A095807 3.95279 [(10729*f(x)-7390)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x+90*x^2-f(x)-10*x+1) ogf] A095807 4.11887 [{a(n+3)-20*a(n+2)+109*a(n+1)-90*a(n),a(0)=1,a(1)=10,a(2)=181} ogf] A095807 6.38417 [-2*(5+4050*x^4-19*x-220*x^2-900*x^3)/(x-1)/(9*x-1)/(10*x-1)/(90*x^2-10*x+1) lgdogf] A095807 7.31560 [-(90*x^2-10*x+1)/(x-1)/(9*x-1)/(10*x-1) ogf] A095810 6.13512 [(4*x^26+12*x^25+4*x^24+2*x^8+6*x^7+2*x^6+3*x^5+x^4+2*x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A095813 9.84060 [-(-x^6-2*x^4+2*x^2+1)/(x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A095819 26.5243 [-(-37+27*x)/(x-1)/(3*x-4) lgdogf] A095819 4.33613 [{(4*n+12)*a(n+3)+(-51-7*n)*a(n+2)+(30+3*n)*a(n+1),a(0)=4,a(1)=37,a(2)=190} ogf] A095819 5.45514 [-(3*x-4)/(x-1)^10 ogf] A095839 11.614 [-2*f(x)^2*x-f(x)^2+4*f(x)-3 egf] A095839 14.9336 [-(-1+6*x+2*(1-6*x)^(1/2))/(2*x+1)/(-1+6*x) lgdegf] A095875 12.1344 [-(2*x^3+3*x^2+x+4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A095889 3.86279 [-2*(80*x^5-87*x^4-36*x^3+82*x^2-36*x+5)/(2*x-1)^3/(3*x-1)^4/(x-1)^4 ogf] A095894 15.2657 [-(5*x+1)/(x+1)/(x-1)^3 ogf] A095894 22.0443 [-(7+14*x+15*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A095894 4.04540 [{(-n-4)*a(n+4)+(-8-5*n)*a(n+3)+(16+n)*a(n+2)+(20+5*n)*a(n+1),a(0)=1,a(1)=7,a(2)=14,a(3)=26} ogf] A095894 7.0972 [(268920*f(x)-1678123)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+5*x+1) ogf] A095897 4.3095 [-(9037*f(x)-5349)*(96*f(x)*x^4+32*f(x)*x^3-20*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-4*x-1) ogf] A095897 8.33014 [-8*(1-128*x^4+4*x-80*x^3+96*x^5)/(6*x-1)/(2*x+1)/(4*x^2-4*x-1)/(8*x^2-1) lgdogf] A095897 8.49929 [-(4*x^2-4*x-1)/(6*x-1)/(2*x+1)/(8*x^2-1) ogf] A095898 12.5427 [1/2/(x+3)*(-1-24*x+(1+60*x+580*x^2)^(1/2)) revogf] A095898 14.6331 [-(27+2*x+3*x^2)/(3*x+1)/(x^2+24*x-1) lgdogf] A095898 15.2687 [-(3*x+1)/(x^2+24*x-1) ogf] A095898 7.89169 [(650*f(x)+79)*(f(x)*x^2+24*f(x)*x-f(x)+3*x+1) ogf] A095898 8.36143 [{a(n+2)-24*a(n+1)-a(n),a(0)=1,a(1)=27} ogf] A095905 11.7548 [-(6*x+1)/(18*x^2+15*x-1) ogf] A095905 12.0254 [1/12*(-1-15*x+(1+54*x+297*x^2)^(1/2))/(3*x+1) revogf] A095905 12.8844 [-3*(7+12*x+36*x^2)/(6*x+1)/(18*x^2+15*x-1) lgdogf] A095905 6.2076 [(39*f(x)+10)*(18*f(x)*x^2+15*f(x)*x-f(x)+6*x+1) ogf] A095905 6.49972 [{a(n+2)-15*a(n+1)-18*a(n),a(0)=1,a(1)=21} ogf] A095915 11.3775 [2*(-1-2*x+5*x^6-10*x^5+11*x^4-7*x^2-16*x^3)/(x-1)/(x^2+1)/(10*x^4+5*x^3+3*x^2+x+1) lgdogf] A095915 12.1888 [-(10*x^4+5*x^3+3*x^2+x+1)/(x-1)/(x^2+1) ogf] A095915 6.55674 [{-a(n+5)+a(n+4)-a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=16} ogf] A095915 7.66716 [-f(x)*(f(x)*x^3+10*x^4-f(x)*x^2+5*x^3+f(x)*x+3*x^2-f(x)+x+1) ogf] A095929 11.6135 [-(5*x^2-5*x+1)/(4*x-1)/(x^2-3*x+1) ogf] A095929 6.20724 [-(f(x)-1)*(4*f(x)*x^3-13*f(x)*x^2+7*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A095929 6.37204 [{-a(n+3)+7*a(n+2)-13*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A095929 9.09411 [-2*(1-8*x+10*x^4+21*x^2-20*x^3)/(4*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A095930 11.0948 [-(-4+26*x-51*x^2+24*x^3)/(4*x-1)/(3*x-1)/(x^2-3*x+1) lgdogf] A095930 14.1788 [(3*x-1)/(4*x-1)/(x^2-3*x+1) ogf] A095930 6.71626 [{a(n+3)-7*a(n+2)+13*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A095930 7.22314 [(205*f(x)+8)*(4*f(x)*x^3-13*f(x)*x^2+7*f(x)*x-f(x)-3*x+1) ogf] A095931 15.0485 [-1/(4*x-1)/(x^2-3*x+1) ogf] A095931 15.5411 [-(7-26*x+12*x^2)/(x^2-3*x+1)/(4*x-1) lgdogf] A095931 5.01616 [{a(n+3)-7*a(n+2)+13*a(n+1)-4*a(n),a(0)=1,a(1)=7,a(2)=36} ogf] A095931 6.91462 [(163021*f(x)-7216)*(4*f(x)*x^3-13*f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A095932 11.5169 [-(-5+26*x-38*x^2+16*x^3)/(4*x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A095932 13.5312 [(2*x-1)/(4*x-1)/(x^2-3*x+1) ogf] A095932 6.40953 [{-a(n+3)+7*a(n+2)-13*a(n+1)+4*a(n),a(0)=1,a(1)=5,a(2)=22} ogf] A095932 6.46624 [-(2253*f(x)+160)*(4*f(x)*x^3-13*f(x)*x^2+7*f(x)*x-f(x)-2*x+1) ogf] A095933 14.2041 [-2/(4*x-1)/(x^2-3*x+1) ogf] A095933 16.2280 [-(7-26*x+12*x^2)/(x^2-3*x+1)/(4*x-1) lgdogf] A095933 5.18757 [{a(n+3)-7*a(n+2)+13*a(n+1)-4*a(n),a(0)=2,a(1)=14,a(2)=72} ogf] A095933 5.47313 [(163021*f(x)-14432)*(4*f(x)*x^3-13*f(x)*x^2+7*f(x)*x-f(x)+2) ogf] A095934 13.8473 [(x-1)^2/(3*x^2-5*x+1) ogf] A095934 28.8412 [(x-3)/(x-1)/(3*x^2-5*x+1) lgdogf] A095934 7.12529 [{-a(n+3)+5*a(n+2)-3*a(n+1),a(0)=1,a(1)=3,a(2)=13} ogf] A095934 7.80749 [(-2+11*f(x))*(3*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A095939 11.2996 [(2*x-1)*(x-1)/(3*x^2-5*x+1) ogf] A095939 14.3009 [-(-2+2*x+x^2)/(x-1)/(2*x-1)/(3*x^2-5*x+1) lgdogf] A095939 5.87136 [{-a(n+3)+5*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=9} ogf] A095939 6.43956 [(-1+2*f(x))*(3*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A095940 12.9068 [-x*(x-1)/(3*x^2-5*x+1) ogf] A095940 14.8309 [-1/2*(-1-5*x+(1+6*x+13*x^2)^(1/2))/(3*x+1) revogf] A095940 18.3205 [-(4-6*x+3*x^2)/(x-1)/(3*x^2-5*x+1) lgdogf] A095940 6.26170 [{-a(n+3)+5*a(n+2)-3*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A095940 7.80781 [f(x)*(3*f(x)*x^2-5*f(x)*x+x^2+f(x)-x) ogf] A095944 17.3851 [-(2*x^2-3)/(-x^2+1) ogf_with_Euler_transform] A095946 5.93558 [-(80117*x^4-321048*x^3+482602*x^2-322036*x+80557)/(x-1)^5 ogf] A095946 6.60509 [-(80749-322940*x+80117*x^4+484662*x^2-321628*x^3)/(x-1)/(80117*x^4-321048*x^3+482602*x^2-322036*x+80557) lgdogf] A095974 4.93117 [-(316781*x^4-1208862*x^3+1733458*x^2-1106836*x+265483)/(x-1)^5 ogf] A095974 5.39876 [-(220579-960428*x+316781*x^4+1573788*x^2-1150600*x^3)/(x-1)/(316781*x^4-1208862*x^3+1733458*x^2-1106836*x+265483) lgdogf] A095977 13.6754 [2/(2*x-1)^2/(x+1)^2 ogf] A095977 27.3593 [-2*(1+4*x)/(x+1)/(2*x-1) lgdogf] A095977 4.40851 [{(n+3)*a(n+3)+(-4-n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=2,a(1)=4,a(2)=14} ogf] A095977 5.4479 [-(41*f(x)+40)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-2) ogf] A095980 6.65525 [-f(x)^2*x^4+f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3-f(x)*x+f(x)-1 ogf] A095981 6.07552 [-f(x)^2*x^3+f(x)^2*x^2-f(x)*x^3+f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A095982 11.5040 [-(x^2+x+2)/(x+1)/(x^3-x^2+2*x-1) ogf] A095982 11.8559 [-(3+6*x+2*x^5+3*x^4+8*x^3)/(x+1)/(x^2+x+2)/(x^3-x^2+2*x-1) lgdogf] A095982 5.89702 [-(113*f(x)+269)*(f(x)*x^4+f(x)*x^2+f(x)*x+x^2-f(x)+x+2) ogf] A096000 12.2964 [(3*x^2+6*x+1)/(x-1)^4 ogf] A096000 21.6792 [-2*(5+12*x+3*x^2)/(x-1)/(3*x^2+6*x+1) lgdogf] A096000 4.24226 [{(n+4)*a(n+4)+(5+5*n)*a(n+3)+(-30-3*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=1,a(1)=10,a(2)=37,a(3)=92} ogf] A096000 6.06036 [(463000*f(x)+2104337)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-6*x-1) ogf] A096019 14.9873 [-(x+3)/(x+1)/(3*x-1) ogf] A096019 15.7475 [1/2/(3*x+1)*(-2*x-3+(16*x^2+16*x+9)^(1/2)) revogf] A096019 18.8970 [-(7+18*x+3*x^2)/(3*x-1)/(x+3)/(x+1) lgdogf] A096019 7.41127 [-(32*f(x)-47)*(3*f(x)*x^2+2*f(x)*x-f(x)+x+3) ogf] A096019 8.22472 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=3,a(1)=7} ogf] A096022 10.1953 [3*(3*x^4+4*x^3+4*x^2+4*x+5)/(x+1)/(x^2+1)/(x-1)^2 ogf] A096022 8.43687 [-(9+17*x+27*x^4+3*x^7+19*x^5+11*x^6+25*x^2+49*x^3)/(x-1)/(x+1)/(x^2+1)/(3*x^4+4*x^3+4*x^2+4*x+5) lgdogf] A096023 8.10819 [3*(19*x^6+20*x^5+20*x^4+20*x^3+20*x^2+20*x+21)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A096024 15.0654 [3*(139*x+141)/(x-1)^2 ogf] A096024 15.7363 [-1/2*(-423-2*x+(178929+3360*x)^(1/2))/(-417+x) revogf] A096024 24.1290 [-(421+139*x)/(139*x+141)/(x-1) lgdogf] A096024 7.68963 [(560*f(x)+294843)*(f(x)*x^2-2*f(x)*x+f(x)-417*x-423) ogf] A096024 8.48511 [{-a(n+2)+2*a(n+1)-a(n),a(0)=423,a(1)=1263} ogf] A096025 10.8252 [3*(279*x^2+280*x+281)/(x+1)/(x-1)^2 ogf] A096025 11.6569 [-(561+1681*x+839*x^2+279*x^3)/(x-1)/(x+1)/(279*x^2+280*x+281) lgdogf] A096025 5.53657 [-(280*f(x)+791920081)*(f(x)*x^3-f(x)*x^2-f(x)*x-837*x^2+f(x)-840*x-843) ogf] A096025 6.04409 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=843,a(1)=1683,a(2)=3363} ogf] A096026 4.46818 [3*(839*x^10+840*x^9+840*x^8+840*x^7+840*x^6+840*x^5+840*x^4+840*x^3+840*x^2+840*x+841)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A096045 14.0052 [(5*x+1)/(4*x-1)/(x-1) ogf] A096045 14.3649 [-1/2*(-1-5*x+(1+30*x+9*x^2)^(1/2))/(-5+4*x) revogf] A096045 15.4423 [-2*(-5+4*x+10*x^2)/(x-1)/(5*x+1)/(4*x-1) lgdogf] A096045 7.24407 [(21*f(x)+29)*(4*f(x)*x^2-5*f(x)*x+f(x)-5*x-1) ogf] A096045 7.59317 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=10} ogf] A096046 12.7379 [(5*x+1)/(9*x-1)/(x-1) ogf] A096046 12.7592 [-1/2*(-1-10*x+(1+40*x+64*x^2)^(1/2))/(-5+9*x) revogf] A096046 14.3541 [-3*(-5+6*x+15*x^2)/(x-1)/(5*x+1)/(9*x-1) lgdogf] A096046 6.36895 [(1984*f(x)+3641)*(9*f(x)*x^2-10*f(x)*x+f(x)-5*x-1) ogf] A096046 6.97552 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=1,a(1)=15} ogf] A096047 4.50527 [(55895*f(x)+7264)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-32*x^2-f(x)+x+1) ogf] A096047 4.65799 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=22,a(2)=346} ogf] A096047 7.27446 [-2*(-11+116*x+1024*x^4-390*x^2-64*x^3)/(x-1)/(4*x-1)/(16*x-1)/(32*x^2-x-1) lgdogf] A096047 8.45605 [(32*x^2-x-1)/(x-1)/(4*x-1)/(16*x-1) ogf] A096048 3.00894 [-(490920192*f(x)+1300268729)*(1296*f(x)*x^4-1800*f(x)*x^3+553*f(x)*x^2-612*x^3-50*f(x)*x+101*x^2+f(x)+8*x-1) ogf] A096048 5.71700 [(612*x^3-101*x^2-8*x+1)/(x-1)/(4*x-1)/(36*x-1)/(9*x-1) ogf] A096053 12.6099 [(3*x+1)/(9*x-1)/(x-1) ogf] A096053 12.6284 [-1/6*(-1-10*x+(1+32*x+64*x^2)^(1/2))/(-1+3*x) revogf] A096053 14.2069 [-(-13+18*x+27*x^2)/(x-1)/(3*x+1)/(9*x-1) lgdogf] A096053 6.51747 [(112*f(x)+57)*(9*f(x)*x^2-10*f(x)*x+f(x)-3*x-1) ogf] A096053 6.90542 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=1,a(1)=13} ogf] A096054 3.15939 [(1425645000*f(x)-398400929)*(1296*f(x)*x^4-1800*f(x)*x^3+553*f(x)*x^2+216*x^3-50*f(x)*x+246*x^2+f(x)-41*x-1) ogf] A096054 5.83273 [-(6*x-1)*(36*x^2+47*x+1)/(x-1)/(4*x-1)/(36*x-1)/(9*x-1) ogf] A096084 4.46755 [-(74*x^3+4508*x^2-1065*x+13)/(2*x-1)/(37*x^3+3984*x^2-153*x+1) ogf] A096086 3.35960 [{a(n+3)-153*a(n+2)+3984*a(n+1)+37*a(n),a(0)=3,a(1)=825,a(2)=114236} ogf] A096086 4.24371 [-(7181521786241427132471*f(x)+78940057196799678286)*(37*f(x)*x^3+3984*f(x)*x^2-153*f(x)*x+37*x^2+f(x)-366*x-3) ogf] A096086 5.99929 [-(37*x^2-366*x-3)/(37*x^3+3984*x^2-153*x+1) ogf] A096100 4.21039 [-(f(x)*x-2*f(x)+3*x+2)^3 egf] A096129 12.0304 [-(9+92*x+x^4+126*x^2+12*x^3)/(x-1)/(x^4+4*x^3+38*x^2+4*x+1) lgdogf] A096129 7.53935 [-(x^4+4*x^3+38*x^2+4*x+1)/(x-1)^5 ogf] A096140 10.8852 [-(2*x-1)*(x^2-x+3)*(x^2-x-1)/(x^2-3*x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A096140 4.94857 [(33*f(x)-8)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x-x^2-f(x)+x) ogf] A096140 9.08367 [-x*(x^2-x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A096166 6.51002 [(-10-344*x^7-68*x^9+105*x^10-2418*x^11+339*x^12+1860*x^13+40*x^8)/(x-1)/(155*x^13+214*x^12+15*x^11+30*x^10+29*x^9+43*x^8+x+9) lgdogf] A096166 8.55369 [-(155*x^13+214*x^12+15*x^11+30*x^10+29*x^9+43*x^8+x+9)/(x-1) ogf] A096200 10.2023 [-x^3*(5*x+7)/(x-1)^5 ogf] A096200 34.8835 [-20*(x+2)/(5*x+7)/(x-1) lgdogf] A096200 5.26786 [{7*n*a(n+3)+(-38-2*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=7} ogf] A096222 5.32255 [-(7*f(x)+47)*(64*f(x)*x^4-48*f(x)*x^3+24*x^3+6*f(x)*x-9*x^2-f(x)-3*x+1) ogf] A096222 5.32256 [{-a(n+4)+6*a(n+3)-48*a(n+1)+64*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=30} ogf] A096222 6.83597 [-(3-18*x-144*x^4+1536*x^6-1152*x^5-18*x^2+256*x^3)/(2*x-1)/(4*x-1)/(8*x^2-1)/(24*x^3-9*x^2-3*x+1) lgdogf] A096222 9.38840 [-(24*x^3-9*x^2-3*x+1)/(4*x-1)/(2*x-1)/(8*x^2-1) ogf] A096229 5.62248 [-2*x*(15*x^9-x^8-2*x^7-3*x^6-4*x^5+85*x^4+x^3+2*x^2+3*x+4)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A096230 15.2507 [-(x^4+3*x^3+5*x^2+7*x+9)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A096230 9.72678 [-(7+10*x+45*x^4+15*x^6+6*x^7+28*x^5+9*x^2+x^8+4*x^3)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+3*x^3+5*x^2+7*x+9) lgdogf] A096231 11.0550 [-(x^2+x+1)*(x+1)^2/(x^3+x^2-1) ogf] A096231 14.1390 [(-3-7*x+x^4+x^5-8*x^2-2*x^3)/(x+1)/(x^2+x+1)/(x^3+x^2-1) lgdogf] A096231 6.40486 [{a(n+5)-a(n+3)-a(n+2),a(0)=1,a(1)=3,a(2)=5,a(3)=7,a(4)=9} ogf] A096231 7.40378 [(2*f(x)+1)*(f(x)*x^3+x^4+f(x)*x^2+3*x^3+4*x^2-f(x)+3*x+1) ogf] A096252 6.27913 [(3*f(x)-25)*(16*f(x)*x^4-4*f(x)*x^2+16*x^3+8*x^2+f(x)+4*x-4) ogf] A096252 9.74672 [-4*(4*x^3+2*x^2+x-1)/(16*x^4-4*x^2+1) ogf] A096261 3.98726 [-(9*x^10+10*x^9-7*x^8-8*x^7-1)/(91*x^10-10*x^9-70*x^8+4*x^7+5*x^6-6*x^5+7*x^4-8*x^3+9*x^2-10*x+1) ogf] A096261 6.04385 [(-1+51*f(x))*(10*f(x)*x^2+8*f(x)*x+x^2-f(x)+2*x+1)^2 ogf] A096284 8.97322 [-(2*x^4-x^3+2*x^2-x+2)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A096284 9.27802 [-(1+8*x^4-4*x^5+2*x^2+5*x^6-2*x^7+2*x^8)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^4-x^3+2*x^2-x+2) lgdogf] A096285 10.9882 [-(x^2+1)^2/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A096285 15.0309 [-(1+2*x+4*x^4+x^6-2*x^3)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A096285 24.0002 [[x^5-2*x^3+x+1] ogf_with_Euler_transform] A096286 4.59974 [2*(x^22+x^21+6*x^19+6*x^17+3*x^16+3*x^15+10*x^14+13*x^13+x^12+7*x^10+9*x^9-4*x^8-5*x^7-9*x^6-4*x^5-14*x^4-11*x^3-6*x^2-6*x-3)/(x-1) ogf] A096302 14.2376 [81/(10*x-1)^2 ogf] A096302 20.6281 [4*x/(9+(81+40*x)^(1/2))^2 revogf] A096302 39.6694 [-20/(-1+10*x) lgdogf] A096302 5.91901 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=81,a(1)=1620} ogf] A096302 6.05508 [(5*f(x)+891)*(100*f(x)*x^2-20*f(x)*x+f(x)-81) ogf] A096307 35.8406 [-7+x+(1-x)*f(x) lgdegf] A096307 4.06793 [{(-n-2)*a(n+1)+(n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=55} ogf] A096320 6.21549 [-(2*x^14+3*x^13+5*x^12+8*x^11+2*x^10+5*x^9-5*x^7+5*x^5+2*x^4+8*x^3+5*x^2+3*x+2)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A096338 11.0663 [-x/(x+1)^3/(x-1)^5 ogf] A096338 36.1981 [-2*(1+4*x)/(x-1)/(x+1) lgdogf] A096338 38.2479 [[2+3*x] ogf_with_Euler_transform] A096338 6.07401 [{(-2-n)*a(n+3)+2*a(n+2)+(8+n)*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A096341 3.64568 [{(-n-2)*a(n+1)+(n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=8,a(2)=71} ogf] A096341 32.2986 [-8+x+(1-x)*f(x) lgdegf] A096363 11.2932 [5*(1-10*x+50*x^2)/(10*x-1)/(25*x^2+5*x-1) lgdogf] A096363 5.21003 [{-a(n+3)+10*a(n+2),a(0)=60,a(1)=300,a(2)=1500} ogf] A096363 5.44957 [-(f(x)-60)*(10*f(x)*x-1500*x^2-f(x)-300*x+60) ogf] A096363 9.11756 [60*(25*x^2+5*x-1)/(10*x-1) ogf] A096367 11.0410 [-2*(2*x^2-1)/(x-1)/(2*x-1)^3 ogf] A096367 16.1427 [-(7-12*x-2*x^2+8*x^3)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A096367 5.86159 [-(71*f(x)+6518)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x+4*x^2+f(x)-2) ogf] A096372 6.49570 [-(2004599*x^4-7659968*x^3+10998014*x^2-7030812*x+1688311)/(x-1)^5 ogf] A096372 6.88111 [-(1410743-6127220*x+2004599*x^4+10014138*x^2-7301540*x^3)/(x-1)/(2004599*x^4-7659968*x^3+10998014*x^2-7030812*x+1688311) lgdogf] A096376 13.7809 [-(3*x^2-x+2)/(x-1)^3 ogf] A096376 25.7833 [-(5+4*x+3*x^2)/(x-1)/(3*x^2-x+2) lgdogf] A096376 7.1849 [(1712*f(x)-1191)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-x+2) ogf] A096376 7.43923 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=12} ogf] A096382 11.3003 [6*(x^2-4*x+5)/(x-1)^4 ogf] A096382 24.6145 [-2*(8-5*x+x^2)/(x-1)/(x^2-4*x+5) lgdogf] A096382 3.91376 [{(5*n+20)*a(n+4)+(-43-9*n)*a(n+3)+(5*n+20)*a(n+2)+(-3-n)*a(n+1),a(0)=30,a(1)=96,a(2)=210,a(3)=384} ogf] A096382 5.94311 [(77*f(x)+1654)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)+24*x-30) ogf] A096383 17.5990 [-2*(20-19*x+5*x^2)/(x-1)/(5*x^2-16*x+14) lgdogf] A096383 5.20421 [(299*f(x)+13116)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-30*x^2+f(x)+96*x-84) ogf] A096383 9.97474 [6*(5*x^2-16*x+14)/(x-1)^4 ogf] A096386 11.6266 [x^2*(x^4+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A096386 8.77860 [-(2+4*x+8*x^6+4*x^4+3*x^9+x^8+6*x^7+10*x^5+3*x^2+7*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2+x+1) lgdogf] A096398 10.4679 [2*(1+3*x^6+7*x^4-9*x^5-x^2+2*x^3)/(x-1)/(x+1)/(2*x^5-5*x^4+4*x^3-3*x^2+2*x-1) lgdogf] A096398 8.83604 [(x+1)*(2*x^5-5*x^4+4*x^3-3*x^2+2*x-1)/(x-1)^3 ogf] A096400 11.5031 [-(91*x^2+x-89)/(x+1)/(x-1)^2 ogf] A096400 13.8886 [-(-88-84*x+93*x^2+91*x^3)/(x-1)/(x+1)/(91*x^2+x-89) lgdogf] A096400 5.94016 [-(15*f(x)-37903)*(f(x)*x^3-f(x)*x^2-f(x)*x+91*x^2+f(x)+x-89) ogf] A096400 6.30172 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=89,a(1)=88,a(2)=86} ogf] A096406 14.3103 [4*(x^3-x^2-1)/(x-1)/(x+1)/(2*x^2+1) ogf] A096406 15.2528 [-x^2*(x^2+2*x^4-4*x^3+3-8*x)/(x-1)/(x+1)/(2*x^2+1)/(x^3-x^2-1) lgdogf] A096406 8.39356 [-(63*f(x)-250)*(2*f(x)*x^4-f(x)*x^2-4*x^3+4*x^2-f(x)+4) ogf] A096431 7.70860 [(x+1)*(x^8+2*x^7-x^6+8*x^5+x^4+8*x^3-x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A096472 11.561 [-f(x)*x^2+2*f(x)*x-f(x)+3600 ogf] A096472 19.9107 [3600/(x-1)^2 ogf] A096472 31.9454 [x/(30+(900+x)^(1/2))^2 revogf] A096472 8.14528 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3600,a(1)=7200} ogf] A096472 87.8498 [-2/(x-1) lgdogf] A096531 4.34868 [-x^2*(32*x^7-60*x^5-48*x^4+33*x^3+31*x^2-5*x-4)/(2*x-1)/(2*x+1)/(x-1)/(2*x^2-1)/(8*x^2-1) ogf] A096582 14.0833 [-(2*f(x)-10001)*(f(x)*x^2-2*f(x)*x+f(x)+101*x-100) ogf] A096582 16.0715 [{-a(n+2)+2*a(n+1)-a(n),a(0)=100,a(1)=99} ogf] A096582 27.8792 [-(101*x-100)/(x-1)^2 ogf] A096582 45.0743 [-(-99+101*x)/(101*x-100)/(x-1) lgdogf] A096613 6.49635 [-(536+1072*x+1609*x^4+537*x^6+1073*x^5+1608*x^2+2148*x^3+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+268*x^3+268*x^2+268*x+268) lgdogf] A096613 8.80992 [(x^4+268*x^3+268*x^2+268*x+268)/(x+1)/(x^2+1)/(x-1)^2 ogf] A096625 11.8928 [-(48*x^31+9*x^15-3*x^8+4*x^7+x^3+1)/(x-1) ogf] A096625 7.64343 [(-1-21*x^8-28*x^6-3*x^2+2*x^3+48*x^7+126*x^15-135*x^14-1488*x^30+1440*x^31)/(x-1)/(48*x^31+9*x^15-3*x^8+4*x^7+x^3+1) lgdogf] A096630 3.44148 [-(4*x^7+116692953951*x^6-116692953960*x^5-x^2-23338590790*x+23338590792)/(5*x^5-1)/(x-1)^2 ogf] A096654 4.49360 [{(-n-3)*a(n+1)+(-n-4)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A096680 7.39899 [-(41*x^14-39*x^13-2*x^12+4*x^6-3*x^5-x^4+2*x^2+109*x-112)/(x-1)^2 ogf] A096727 21.0104 [-(-4*x-8)/(x^2-1) ogf_with_Euler_transform] A096727 99.9999 Evaluated at exp(-Pi) 1/2*Pi/GAMMA(3/4)^4 A096740 14.7245 [-(x^21-x^11-x^10)/(-x^2+1) ogf_with_Euler_transform] A096748 11.5708 [-f(x)*x^4-f(x)*x^2-x^2+f(x)-2*x-1 ogf] A096748 14.4127 [-(x+1)^2/(x^4+x^2-1) ogf] A096748 22.3854 [-2*(1+x+x^4+2*x^3)/(x+1)/(x^4+x^2-1) lgdogf] A096749 15.7003 [-(-x^5+x^3+x^2)/(x^2-1) ogf_with_Euler_transform] A096750 11.3526 [-(x^2-x+1)/(x^4+x^3-2*x^2+2*x-1) ogf] A096750 12.0030 [-(x+1)*(2*x^4-4*x^3+6*x^2-3*x+1)/(x^2-x+1)/(x^4+x^3-2*x^2+2*x-1) lgdogf] A096750 7.32082 [-f(x)*x^4-f(x)*x^3+2*f(x)*x^2-2*f(x)*x-x^2+f(x)+x-1 ogf] A096765 16.3871 [-(x^3-x^2-x)/(-x^2+1) ogf_with_Euler_transform] A096773 12.6365 [-x*(2*x-3)/(2*x-1)/(2*x+1)/(x-1) ogf] A096773 13.3923 [-(1+24*x-44*x^2+16*x^3)/(x-1)/(2*x+1)/(2*x-1)/(2*x-3) lgdogf] A096773 6.26331 [-(674*f(x)+665)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+2*x^2+f(x)-3*x) ogf] A096773 6.48902 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=0,a(1)=3,a(2)=1} ogf] A096777 11.3592 [-(x^4+1)/(x^2+x+1)/(x-1)^3 ogf] A096777 13.5520 [-(2+2*x+2*x^4+x^6+2*x^5+5*x^2+4*x^3)/(x-1)/(x^2+x+1)/(x^4+1) lgdogf] A096777 22.3111 [-x^7+x^3+x^2+2 ogf_with_Euler_transform] A096778 16.5909 [-(x^5-x-1)/(-x^2+1) ogf_with_Euler_transform] A096881 10.8008 [-(17*f(x)-9)*(17*f(x)*x^2-f(x)+4*x+1) ogf] A096881 13.7816 [-1/17*17^(1/2)*(arcsinh(4)-arcsinh(4+17*x)) revegf] A096881 14.4083 [-(4*x+1)/(17*x^2-1) ogf] A096881 16.0164 [-2*(2+17*x+34*x^2)/(1+4*x)/(17*x^2-1) lgdogf] A096881 9.31000 [{-a(n+2)+17*a(n),a(0)=1,a(1)=4} ogf] A096882 10.5353 [-(100*f(x)-51)*(50*f(x)*x^2-f(x)+7*x+1) ogf] A096882 13.6234 [-1/10*2^(1/2)*(arcsinh(7)-arcsinh(7+50*x)) revegf] A096882 13.9087 [-(7*x+1)/(50*x^2-1) ogf] A096882 15.4644 [-(7+100*x+350*x^2)/(7*x+1)/(50*x^2-1) lgdogf] A096882 8.98718 [{-a(n+2)+50*a(n),a(0)=1,a(1)=7} ogf] A096883 11.3206 [-1/101*101^(1/2)*(arcsinh(10)-arcsinh(10+101*x)) revegf] A096883 12.6125 [-(10*x+1)/(101*x^2-1) ogf] A096883 13.2534 [-2*(5+101*x+505*x^2)/(1+10*x)/(101*x^2-1) lgdogf] A096883 7.20716 [-(101*f(x)-51)*(101*f(x)*x^2-f(x)+10*x+1) ogf] A096883 8.28285 [{-a(n+2)+101*a(n),a(0)=1,a(1)=10} ogf] A096884 17.1783 [-1/(101*x-1) ogf] A096884 22.6565 [1/101*ln(1+101*x) revegf] A096884 25.6774 [-101/(-1+101*x) lgdogf] A096884 7.31669 [{a(n+1)-101*a(n),a(0)=1} ogf] A096884 9.18838 [-101*f(x)*x+f(x)-1 ogf] A096885 11.2886 [-1/(x^2+100*x-1) ogf] A096885 16.7461 [-2*(50+x)/(x^2-1+100*x) lgdogf] A096885 4.39 [-(5001*f(x)-1)*(f(x)*x^2+100*f(x)*x-f(x)+1) ogf] A096885 4.59420 [{-a(n+2)+100*a(n+1)+a(n),a(0)=1,a(1)=100} ogf] A096885 9.17050 [1/2/x*(-100*x-1+(10004*x^2+200*x+1)^(1/2)) revogf] A096886 10.4025 [{a(n+2)-8*a(n),a(0)=1,a(1)=3} ogf] A096886 16.2380 [-(3*x+1)/(8*x^2-1) ogf] A096886 16.3144 [1/2/(8*x+3)*(-1+((1+4*x)*(1+8*x))^(1/2)) revogf] A096886 19.1934 [-(3+16*x+24*x^2)/(3*x+1)/(8*x^2-1) lgdogf] A096886 9.79057 [(16*f(x)-7)*(8*f(x)*x^2-f(x)+3*x+1) ogf] A096911 16.2884 [-(-x^5+x^2+1)/(x^4-1) ogf_with_Euler_transform] A096914 13.6098 [-(-x^3-x^2+x+2)/(x^2-1) ogf_with_Euler_transform] A096920 15.6276 [-(x^3-2*x^2+2*x-2)/(-x^4+1) ogf_with_Euler_transform] A096920 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/12*Pi)*Pi^(1/4)*2^(5/8)/GAMMA(3/4) A096938 13.7531 [-(-x^8-x^6-x^2-1)/(-x^10+1) ogf_with_Euler_transform] A096941 13.2136 [-(4*x-5)/(x-1)^4 ogf] A096941 31.6358 [-4*(-4+3*x)/(x-1)/(4*x-5) lgdogf] A096941 5.20021 [{(5*n+15)*a(n+3)+(-34-9*n)*a(n+2)+(16+4*n)*a(n+1),a(0)=5,a(1)=16,a(2)=34} ogf] A096941 6.44826 [(19*f(x)+2384)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+4*x-5) ogf] A096942 10.9907 [(4*x-5)/(x-1)^5 ogf] A096942 30.6274 [-(-21+16*x)/(x-1)/(4*x-5) lgdogf] A096942 5.03444 [{(5*n+15)*a(n+3)+(-39-9*n)*a(n+2)+(20+4*n)*a(n+1),a(0)=5,a(1)=21,a(2)=55} ogf] A096943 27.6064 [-2*(-13+10*x)/(x-1)/(4*x-5) lgdogf] A096943 4.90133 [{(5*n+15)*a(n+3)+(-44-9*n)*a(n+2)+(24+4*n)*a(n+1),a(0)=5,a(1)=26,a(2)=81} ogf] A096943 9.49632 [-(4*x-5)/(x-1)^6 ogf] A096944 27.5873 [-(-31+24*x)/(x-1)/(4*x-5) lgdogf] A096944 4.50990 [{(5*n+15)*a(n+3)+(-49-9*n)*a(n+2)+(28+4*n)*a(n+1),a(0)=5,a(1)=31,a(2)=112} ogf] A096944 7.90500 [(4*x-5)/(x-1)^7 ogf] A096945 26.8015 [-4*(-9+7*x)/(x-1)/(4*x-5) lgdogf] A096945 4.38231 [{(5*n+15)*a(n+3)+(-54-9*n)*a(n+2)+(32+4*n)*a(n+1),a(0)=5,a(1)=36,a(2)=148} ogf] A096945 6.97593 [-(4*x-5)/(x-1)^8 ogf] A096946 26.8037 [-(-41+32*x)/(x-1)/(4*x-5) lgdogf] A096946 4.38181 [{(5*n+15)*a(n+3)+(-59-9*n)*a(n+2)+(36+4*n)*a(n+1),a(0)=5,a(1)=41,a(2)=189} ogf] A096946 6.27121 [(4*x-5)/(x-1)^9 ogf] A096947 24.8064 [-2*(-23+18*x)/(x-1)/(4*x-5) lgdogf] A096947 4.37885 [{(5*n+15)*a(n+3)+(-64-9*n)*a(n+2)+(40+4*n)*a(n+1),a(0)=5,a(1)=46,a(2)=235} ogf] A096947 5.50888 [-(4*x-5)/(x-1)^10 ogf] A096951 12.0910 [-(6*x-1)/(9*x-1)/(4*x-1) ogf] A096951 12.6477 [-1/12*(-1-13*x+(1+2*x+25*x^2)^(1/2))/(1+6*x) revogf] A096951 13.2500 [-(7-72*x+216*x^2)/(6*x-1)/(-1+4*x)/(9*x-1) lgdogf] A096951 6.76520 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=1,a(1)=7} ogf] A096951 7.59494 [-(19*f(x)+30)*(36*f(x)*x^2-13*f(x)*x+f(x)+6*x-1) ogf] A096957 12.9484 [-(5*x-6)/(x-1)^4 ogf] A096957 30.9923 [-(-19+15*x)/(x-1)/(5*x-6) lgdogf] A096957 5.06315 [{(6*n+18)*a(n+3)+(-41-11*n)*a(n+2)+(20+5*n)*a(n+1),a(0)=6,a(1)=19,a(2)=40} ogf] A096957 6.26867 [(91*f(x)+24186)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+5*x-6) ogf] A096958 10.6054 [(5*x-6)/(x-1)^5 ogf] A096958 29.5372 [-5*(-5+4*x)/(x-1)/(5*x-6) lgdogf] A096958 4.82680 [{(6*n+18)*a(n+3)+(-47-11*n)*a(n+2)+(25+5*n)*a(n+1),a(0)=6,a(1)=25,a(2)=65} ogf] A096959 28.8694 [-(-31+25*x)/(x-1)/(5*x-6) lgdogf] A096959 4.71767 [{(6*n+18)*a(n+3)+(-53-11*n)*a(n+2)+(30+5*n)*a(n+1),a(0)=6,a(1)=31,a(2)=96} ogf] A096959 9.19946 [-(5*x-6)/(x-1)^6 ogf] A096960 99.9999 Evaluated at exp(-Pi) 3/64*exp(Pi)*Pi^3/GAMMA(3/4)^12 A096961 99.9999 Evaluated at exp(-Pi) 1/4*exp(Pi)*Pi^4/GAMMA(11/12)^8/GAMMA(7/12)^8 A096975 11.5040 [-(2*x^2+2*x-3)/(x^3-2*x^2-x+1) ogf] A096975 12.0639 [-(1+8*x+2*x^4+4*x^3-11*x^2)/(2*x^2+2*x-3)/(x^3-2*x^2-x+1) lgdogf] A096975 6.10214 [-(5*f(x)-3)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+2*x^2+f(x)+2*x-3) ogf] A096975 6.26559 [{-a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=1,a(2)=5} ogf] A096976 12.9125 [-(x^2+x-1)/(x^3-2*x^2-x+1) ogf] A096976 16.9639 [-x*(2+x^3+2*x^2-4*x)/(x^2+x-1)/(x^3-2*x^2-x+1) lgdogf] A096976 6.84927 [-(3*f(x)-2)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)+x-1) ogf] A096976 7.09608 [{a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A096977 11.6465 [-2*(1+4*x+24*x^3-20*x^2)/(x-1)/(2*x+1)/(2*x-1)/(-1+4*x) lgdogf] A096977 3.30058 [{(-8*n-16)*a(n+1)+(6*n+4)*a(n+2)+(3*n+4)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=11} ogf] A096977 5.11979 [(65*f(x)+8)*(8*f(x)*x^4-14*f(x)*x^3+3*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+x) ogf] A096977 9.85173 [x*(2*x-1)/(2*x+1)/(4*x-1)/(x-1)^2 ogf] A096978 12.3986 [-x/(2*x+1)/(4*x-1)/(x-1)^2 ogf] A096978 16.0944 [-2*(-2-5*x+16*x^2)/(x-1)/(2*x+1)/(-1+4*x) lgdogf] A096978 3.36446 [{(-3-n)*a(n+4)+(10+3*n)*a(n+3)+(16+6*n)*a(n+2)+(-32-8*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=19} ogf] A096978 5.23067 [-(5459*f(x)-1080)*(8*f(x)*x^4-14*f(x)*x^3+3*f(x)*x^2+4*f(x)*x-f(x)+x) ogf] A096979 14.2777 [-2*(3-9*x^2+2*x^3)/(x-1)/(x+1)/(x^2+1-6*x) lgdogf] A096979 14.8521 [-x/(x-1)/(x+1)/(x^2-6*x+1) ogf] A096979 5.79938 [-(210*f(x)-1)*(f(x)*x^4-6*f(x)*x^3+6*f(x)*x-f(x)+x) ogf] A096980 14.1953 [-(3*x+1)/(7*x^2+2*x-1) ogf] A096980 14.9066 [1/2/(3+7*x)*(-1-2*x+(1+16*x+32*x^2)^(1/2)) revogf] A096980 16.4757 [-(5+14*x+21*x^2)/(3*x+1)/(7*x^2+2*x-1) lgdogf] A096980 7.42778 [(24*f(x)+1)*(7*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A096980 7.79010 [{a(n+2)-2*a(n+1)-7*a(n),a(0)=1,a(1)=5} ogf] A096981 13.8635 [-(-x^5-x^4-x^2-1)/(-x^6+1) ogf_with_Euler_transform] A096981 99.9999 Evaluated at exp(-Pi) exp(-5/24*Pi)/Pi^(1/3)*2^(35/72)*3^(5/12)*GAMMA(3/4)^(2/3)*GAMMA(5/6)^(1/6)/(2^(1/2)*(3^(1/2)-1))^(1/3)*GAMMA(7/12)^(1/3) A097038 14.6283 [x/(2*x^2-1)/(2*x-1)/(x+1) ogf] A097038 15.3542 [-(-1-8*x+6*x^2+16*x^3)/(2*x-1)/(x+1)/(2*x^2-1) lgdogf] A097038 5.82751 [-(35*f(x)-22)*(4*f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-x) ogf] A097039 13.8630 [-(7+3*x+3*x^4-17*x^3)/(x-1)/(x^2+x-1)/(x^2-4*x-1) lgdogf] A097039 8.51459 [x*(x^2-4*x-1)/(x-1)/(x^2+x-1)^2 ogf] A097040 12.3857 [-2*x^2/(x^2-3*x+1)/(x^2+x-1) ogf] A097040 14.7677 [-2*(x-2)*(2*x-1)*(x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A097040 5.42516 [(3*f(x)-2)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x+2*x^2-f(x)) ogf] A097041 13.7436 [-(x+1)/(9*x^3+x^2-1) ogf] A097041 15.7103 [-(1+2*x+28*x^2+18*x^3)/(x+1)/(9*x^3+x^2-1) lgdogf] A097041 7.16423 [{a(n+3)-a(n+1)-9*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097041 7.48263 [-(f(x)-18)*(9*f(x)*x^3+f(x)*x^2-f(x)+x+1) ogf] A097045 4.87181 [(x^72-x^68-x^67+x^66+8*x^15+7*x^14+6*x^13+5*x^12+4*x^11+11*x^10+9*x^9-9*x^8-x^7-x^6-x^5-x^4-x^3-x^2+1)/(x^72-x^67+x^66+8*x^9-9*x^8+1) ogf] A097057 7.52777 [-(4*x^6+2*x^4-2*x^3+6*x^2+2*x+4)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A097057 99.9999 Evaluated at exp(-Pi) -1/8/Pi/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))/(2^(1/2)-2) A097062 10.2339 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=3} ogf] A097062 18.7902 [(3*x^2-2*x+1)/(x+1)/(x-1)^2 ogf] A097062 25.1726 [-(-1+7*x-x^2+3*x^3)/(x-1)/(x+1)/(3*x^2-2*x+1) lgdogf] A097062 9.79657 [-(22*f(x)+23)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)+2*x-1) ogf] A097063 13.5364 [-(3*x^2-2*x+1)/(x+1)/(x-1)^3 ogf] A097063 21.4145 [-6*x*(1+x^2)/(x-1)/(x+1)/(3*x^2-2*x+1) lgdogf] A097063 6.93882 [-(101*f(x)-112)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A097064 11.5729 [4*f(x)*x^2-4*f(x)*x-6*x^2+f(x)+4*x-1 ogf] A097064 12.7705 [(6*x^2-4*x+1)/(2*x-1)^2 ogf] A097064 25.6398 [-4*x/(2*x-1)/(6*x^2-4*x+1) lgdogf] A097064 6.70138 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=0,a(2)=2} ogf] A097065 14.6511 [(2*x^2-2*x+1)/(x+1)/(x-1)^2 ogf] A097065 18.8316 [-(-1+5*x+2*x^3-2*x^2)/(x-1)/(x+1)/(2*x^2-2*x+1) lgdogf] A097065 7.70448 [-(31*f(x)+9)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)+2*x-1) ogf] A097065 7.97964 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A097066 13.8454 [-(2*x^2-2*x+1)/(x+1)/(x-1)^3 ogf] A097066 19.8188 [-2*x*(2+2*x^2-x)/(x-1)/(x+1)/(2*x^2-2*x+1) lgdogf] A097066 4.08006 [{(2*n^2+4*n)*a(n)+(n^2+13*n+24)*a(n+1)+(-2*n^2+2*n+12)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=0,a(2)=2} ogf] A097066 7.60876 [(2*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A097067 12.3855 [(5*x^2-4*x+1)/(2*x-1)^2 ogf] A097067 24.8549 [-2*x/(2*x-1)/(5*x^2-4*x+1) lgdogf] A097067 6.49933 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=0,a(2)=1} ogf] A097067 9.24551 [4*f(x)*x^2-4*f(x)*x-5*x^2+f(x)+4*x-1 ogf] A097068 12.8240 [3*x/(4*x^2-14*x+1) ogf] A097068 18.4159 [-2*(-7+4*x)/(4*x^2+1-14*x) lgdogf] A097068 5.94283 [{a(n+2)-14*a(n+1)+4*a(n),a(0)=0,a(1)=3} ogf] A097068 8.12188 [-4*f(x)*x^2+14*f(x)*x-f(x)+3*x ogf] A097068 9.03420 [-1/8*(-14*x-3+(1+6*x)^(1/2)*(10*x+3)^(1/2)*3^(1/2))/x revogf] A097070 4.97301 [64*f(x)^2*x^3-48*f(x)^2*x^2-64*f(x)*x^3+12*f(x)^2*x+48*f(x)*x^2+16*x^3-f(x)^2-12*f(x)*x-11*x^2+f(x)+2*x ogf] A097070 5.56582 [{(-4*n^2-2*n)*a(n)+(5*n^2+14*n+9)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A097072 11.8079 [(2*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A097072 11.8299 [-2*x*(-3+2*x^3-4*x^2+6*x)/(x-1)/(-1+2*x)/(x+1)/(2*x^2-2*x+1) lgdogf] A097072 6.05278 [-(397*f(x)+332)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A097072 6.48902 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A097073 10.1448 [2*f(x)*x^2+f(x)*x+2*x^2-f(x)-x+1 ogf] A097073 13.5902 [-(2*x^2-x+1)/(2*x-1)/(x+1) ogf] A097073 19.1836 [4*x*(-2+x)/(-1+2*x)/(x+1)/(2*x^2-x+1) lgdogf] A097073 7.13150 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=4} ogf] A097074 11.5525 [-(-1-6*x+4*x^4-4*x^3+11*x^2)/(x-1)/(2*x-1)/(x+1)/(2*x^2-x+1) lgdogf] A097074 11.5903 [(2*x^2-x+1)/(x-1)/(2*x-1)/(x+1) ogf] A097074 6.31260 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A097074 6.36946 [(7*f(x)+9)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-2*x^2+f(x)+x-1) ogf] A097075 11.7656 [(x^2+x-1)/(x+1)/(x^2+2*x-1) ogf] A097075 15.0511 [-x*(-4+2*x^2+x^3-x)/(x+1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A097075 6.13422 [-(49*f(x)+15)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-x^2-f(x)-x+1) ogf] A097075 6.46580 [{a(n+3)-a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A097076 17.0976 [-x/(x+1)/(x^2+2*x-1) ogf] A097076 23.7187 [-(1+6*x+3*x^2)/(x+1)/(x^2+2*x-1) lgdogf] A097076 6.93148 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A097076 7.77165 [(f(x)+1)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)+x) ogf] A097080 13.8447 [-(3*x^2-2*x+3)/(x-1)^3 ogf] A097080 24.3811 [-(7+2*x+3*x^2)/(x-1)/(3*x^2-2*x+3) lgdogf] A097080 7.47367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=15} ogf] A097080 7.5404 [(17*f(x)-6)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-2*x+3) ogf] A097081 12.4767 [-(-1+4*x+x^4-4*x^3-6*x^2)/(x-1)/(x^4+4*x^3-6*x^2+4*x-1) lgdogf] A097081 5.11006 [(f(x)-2)*(f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A097081 9.09194 [(x-1)^3/(x^4+4*x^3-6*x^2+4*x-1) ogf] A097083 15.6212 [-(-2+2*x+5*x^4-3*x^2)/(-1+x)/(1+x^2)/(x^2+x-1) lgdogf] A097083 16.2893 [1/(x-1)/(x^2+1)/(x^2+x-1) ogf] A097108 8.04426 [-(2*x^7+4*x^6+3*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^2-x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A097109 9.35240 [-(2*x^5-x^4+x^3+2*x^2+x-1)/(-x^6+1) ogf_with_Euler_transform] A097110 11.8554 [-2*(1+3*x+2*x^6-3*x^4-4*x^3)/(x-1)/(x+1)/(2*x^2-1)/(2*x^3-2*x-1) lgdogf] A097110 13.5736 [-(2*x^3-2*x-1)/(x-1)/(x+1)/(2*x^2-1) ogf] A097110 8.23083 [(2*f(x)+11)*(2*f(x)*x^4-3*f(x)*x^2+2*x^3+f(x)-2*x-1) ogf] A097111 10.5590 [-(12*x^3+2*x^2-3*x-1)/(2*x-1)/(2*x+1)/(5*x^2-1) ogf] A097111 6.43136 [-(40*f(x)+247)*(20*f(x)*x^4-9*f(x)*x^2+12*x^3+2*x^2+f(x)-3*x-1) ogf] A097111 7.62467 [-(3+14*x+240*x^6+80*x^5-72*x^4-80*x^3-9*x^2)/(2*x+1)/(2*x-1)/(5*x^2-1)/(12*x^3+2*x^2-3*x-1) lgdogf] A097112 5.92634 [(45*f(x)+349)*(90*f(x)*x^4-19*f(x)*x^2+36*x^3+6*x^2+f(x)-4*x-1) ogf] A097112 6.27519 [-2*(2+13*x-16*x^2-180*x^3-198*x^4+540*x^5+1620*x^6)/(3*x-1)/(3*x+1)/(10*x^2-1)/(36*x^3+6*x^2-4*x-1) lgdogf] A097112 9.32528 [-(36*x^3+6*x^2-4*x-1)/(3*x-1)/(3*x+1)/(10*x^2-1) ogf] A097113 5.59304 [(544*f(x)+5197)*(272*f(x)*x^4-33*f(x)*x^2+80*x^3+12*x^2+f(x)-5*x-1) ogf] A097113 5.90568 [-(5+42*x-75*x^2-1088*x^3-1440*x^4+6528*x^5+21760*x^6)/(-1+4*x)/(4*x+1)/(17*x^2-1)/(80*x^3+12*x^2-5*x-1) lgdogf] A097113 8.86896 [-(80*x^3+12*x^2-5*x-1)/(4*x-1)/(4*x+1)/(17*x^2-1) ogf] A097114 5.13182 [(1225*f(x)+18748)*(2450*f(x)*x^4-99*f(x)*x^2+392*x^3+42*x^2+f(x)-8*x-1) ogf] A097114 8.19665 [-(392*x^3+42*x^2-8*x-1)/(7*x+1)/(7*x-1)/(50*x^2-1) ogf] A097115 6.41614 [(20200*f(x)+428431)*(10100*f(x)*x^4-201*f(x)*x^2+1100*x^3+90*x^2+f(x)-11*x-1) ogf] A097115 7.30199 [-(1100*x^3+90*x^2-11*x-1)/(10*x+1)/(10*x-1)/(101*x^2-1) ogf] A097116 12.6993 [(x-1)/(3*x^3-x^2+2*x-1) ogf] A097116 14.3332 [-(-1+2*x-10*x^2+6*x^3)/(x-1)/(3*x^3-x^2+2*x-1) lgdogf] A097116 6.00948 [{-a(n+3)+2*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097116 6.29029 [-(5*f(x)-6)*(3*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A097117 13.4768 [(x-1)/(4*x^3-x^2+2*x-1) ogf] A097117 15.2290 [-(-1+2*x+8*x^3-13*x^2)/(x-1)/(4*x^3-x^2+2*x-1) lgdogf] A097117 6.37741 [{-a(n+3)+2*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097117 6.67541 [-(7*f(x)-8)*(4*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A097118 13.1556 [(x-1)/(5*x^3-x^2+2*x-1) ogf] A097118 14.5456 [-(-1+2*x+10*x^3-16*x^2)/(x-1)/(5*x^3-x^2+2*x-1) lgdogf] A097118 6.22541 [{-a(n+3)+2*a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097118 6.45598 [-(9*f(x)-10)*(5*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A097119 10.5280 [-(x-1)^2/(2*x-1)/(x^3+x^2-x+1) ogf] A097119 12.9514 [-(-1+3*x-3*x^2-7*x^3+4*x^4)/(x-1)/(2*x-1)/(x^3+x^2-x+1) lgdogf] A097119 5.63124 [(5*f(x)-4)*(2*f(x)*x^4+f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A097120 11.5923 [-(-1+3*x-3*x^2-11*x^3+6*x^4)/(x-1)/(3*x^4+x^3-3*x^2+3*x-1) lgdogf] A097120 5.3195 [(7*f(x)-6)*(3*f(x)*x^4+f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A097120 9.94517 [-(x-1)^2/(3*x^4+x^3-3*x^2+3*x-1) ogf] A097121 10.3972 [-(x-1)^2/(4*x^4+x^3-3*x^2+3*x-1) ogf] A097121 12.1301 [-(-1+3*x+8*x^4-15*x^3-3*x^2)/(x-1)/(4*x^4+x^3-3*x^2+3*x-1) lgdogf] A097121 5.5613 [(9*f(x)-8)*(4*f(x)*x^4+f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A097122 11.3745 [-(x-1)^2/(4*x^3-3*x^2+3*x-1) ogf] A097122 14.1717 [-(-1+3*x+4*x^3-12*x^2)/(x-1)/(4*x^3-3*x^2+3*x-1) lgdogf] A097122 6.19504 [(11*f(x)-8)*(4*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A097122 6.19504 [{-a(n+3)+3*a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097123 11.1507 [-(x-1)^2/(5*x^3-3*x^2+3*x-1) ogf] A097123 13.8901 [-(-1+3*x+5*x^3-15*x^2)/(x-1)/(5*x^3-3*x^2+3*x-1) lgdogf] A097123 6.07317 [{-a(n+3)+3*a(n+2)-3*a(n+1)+5*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097123 7.64263 [5*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 ogf] A097124 10.7614 [-(x-1)^2/(6*x^3-3*x^2+3*x-1) ogf] A097124 13.3982 [-(-1+3*x-18*x^2+6*x^3)/(x-1)/(6*x^3-3*x^2+3*x-1) lgdogf] A097124 5.659 [-(9*f(x)-11)*(6*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A097124 5.86110 [{-a(n+3)+3*a(n+2)-3*a(n+1)+6*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A097131 10.2690 [-(1+4*x+2*x^5+2*x^6-4*x^3+3*x^4-3*x^2)/(x^2+x-1)/(x^2-x-1)/(2*x^3+x^2-x-1) lgdogf] A097131 11.9179 [-(2*x^3+x^2-x-1)/(x^2+x-1)/(x^2-x-1) ogf] A097131 7.30816 [{a(n+4)-3*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=1} ogf] A097131 7.37776 [-(f(x)+1)*(f(x)*x^4-3*f(x)*x^2+2*x^3+x^2+f(x)-x-1) ogf] A097132 8.17645 [-(-2-4*x-11*x^4+6*x^3+11*x^2-6*x^5+x^6+4*x^7)/(x-1)/(x^2+x-1)/(x^2-x-1)/(2*x^3+x^2-x-1) lgdogf] A097132 8.53876 [(2*x^3+x^2-x-1)/(x-1)/(x^2+x-1)/(x^2-x-1) ogf] A097133 12.8961 [-(2+8*x+2*x^4+4*x^3+7*x^2)/(x+1)/(2*x^2+2*x+1)/(x^2+x-1) lgdogf] A097133 12.9233 [-(2*x^2+2*x+1)/(x+1)/(x^2+x-1) ogf] A097133 7.83647 [{a(n+3)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A097133 7.92072 [(3*f(x)+1)*(f(x)*x^3+2*f(x)*x^2+2*x^2-f(x)+2*x+1) ogf] A097134 10.2453 [-f(x)*x^2+3*f(x)*x+x^2-f(x)+1 ogf] A097134 14.0088 [(x^2+1)/(x^2-3*x+1) ogf] A097134 19.7972 [-3*(x-1)*(x+1)/(x^2+1)/(x^2-3*x+1) lgdogf] A097134 6.72974 [{a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A097135 11.4551 [-f(x)*x^2-f(x)*x+x^2+f(x)-2*x-1 ogf] A097135 15.3455 [(x^2-2*x-1)/(x^2+x-1) ogf] A097135 25.7631 [3*(1+x^2)/(x^2+x-1)/(x^2-2*x-1) lgdogf] A097135 7.97363 [{a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=3} ogf] A097136 12.9966 [(2*x^2-1)/(x-1)/(x^2-3*x+1) ogf] A097136 13.2635 [-(-4+12*x+2*x^4-11*x^2)/(x-1)/(x^2-3*x+1)/(2*x^2-1) lgdogf] A097136 6.55581 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A097136 6.67392 [-(f(x)-1)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+1) ogf] A097137 12.8470 [-x^2/(x+1)/(3*x-1)/(x-1)^2 ogf] A097137 18.3210 [-4*(-1+3*x^2)/(-1+x)/(3*x-1)/(x+1) lgdogf] A097137 3.38444 [{(-3*n-9)*a(n+1)+a(n+2)*n+(3*n+7)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A097137 5.20252 [(2*f(x)-1)*(3*f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+x^2-f(x)) ogf] A097138 11.7823 [-x^2/(x+1)/(4*x-1)/(x-1)^2 ogf] A097138 17.6579 [-(-5+x+16*x^2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A097138 5.16084 [(3*f(x)-1)*(4*f(x)*x^4-5*f(x)*x^3-3*f(x)*x^2+5*f(x)*x+x^2-f(x)) ogf] A097139 13.1013 [-x^2/(x+1)/(5*x-1)/(x-1)^2 ogf] A097139 16.7266 [-2*(5*x+3)*(2*x-1)/(x-1)/(5*x-1)/(x+1) lgdogf] A097139 3.27534 [{(-5*n-15)*a(n+1)+(n-2)*a(n+2)+(5*n+11)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A097139 5.30551 [(4*f(x)-1)*(5*f(x)*x^4-6*f(x)*x^3-4*f(x)*x^2+6*f(x)*x+x^2-f(x)) ogf] A097140 13.0835 [-x*(2*x+1)/(x-1)/(x+1)^2 ogf] A097140 27.1018 [-(1+x+4*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A097140 6.71854 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A097140 6.71855 [-(f(x)+1)*(f(x)*x^3+f(x)*x^2-f(x)*x+2*x^2-f(x)+x) ogf] A097141 15.0506 [x*(2*x+1)/(x+1)^2 ogf] A097141 25.8632 [-1/2*(2*x-1+(1+4*x)^(1/2))/(-2+x) revogf] A097141 47.4158 [-2*x/(x+1)/(2*x+1) lgdogf] A097141 7.37477 [{-a(n+3)-2*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=0} ogf] A097141 8.28627 [(2*f(x)+1)*(f(x)*x^2+2*f(x)*x-2*x^2+f(x)-x) ogf] A097162 6.51632 [-(-3+160*x^7-8*x+220*x^6-360*x^5-61*x^4+108*x^3+16*x^2)/(x-1)/(2*x+1)/(2*x-1)/(5*x^2-1)/(4*x^3+5*x^2-2*x-1) lgdogf] A097162 8.17070 [(4*x^3+5*x^2-2*x-1)/(2*x-1)/(2*x+1)/(x-1)/(5*x^2-1) ogf] A097163 11.4767 [-(x^2-x-1)/(2*x-1)/(2*x+1)/(x-1) ogf] A097163 11.8313 [-(2+6*x+4*x^4-8*x^3-7*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x^2-x-1) lgdogf] A097163 5.88301 [-(124*f(x)+135)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A097163 6.25071 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A097164 12.9585 [(3*x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A097164 14.3205 [-4*(-1-2*x+6*x^3)/(x-1)/(2*x+1)/(2*x-1)/(3*x+1) lgdogf] A097164 6.13212 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A097164 6.41867 [-(3*f(x)+7)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A097165 10.2209 [(3*x-1)/(x-1)/(4*x-1)/(5*x-1) ogf] A097165 4.93422 [{-a(n+3)+10*a(n+2)-29*a(n+1)+20*a(n),a(0)=1,a(1)=7,a(2)=41} ogf] A097165 4.97713 [-(3141*f(x)-680)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x-f(x)-3*x+1) ogf] A097166 11.3206 [-1/4*(-1-11*x+((3*x+1)*(27*x+1))^(1/2))/(-1+5*x) revogf] A097166 11.8075 [(2*x+1)/(10*x-1)/(x-1) ogf] A097166 13.2534 [-(-13+20*x+20*x^2)/(x-1)/(2*x+1)/(10*x-1) lgdogf] A097166 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=13} ogf] A097166 7.75562 [(123*f(x)+46)*(10*f(x)*x^2-11*f(x)*x+f(x)-2*x-1) ogf] A097167 11.8075 [-(7*x-1)/(10*x-1)/(9*x-1) ogf] A097167 12.3498 [-6*(2-30*x+105*x^2)/(9*x-1)/(7*x-1)/(10*x-1) lgdogf] A097167 12.9378 [-1/2*(-1-19*x+(1+10*x+x^2)^(1/2))/(7+90*x) revogf] A097167 6.09837 [(169*f(x)+407)*(90*f(x)*x^2-19*f(x)*x+f(x)+7*x-1) ogf] A097167 6.52884 [{-a(n+2)+19*a(n+1)-90*a(n),a(0)=1,a(1)=12} ogf] A097168 4.66345 [{-a(n+3)+20*a(n+2)-109*a(n+1)+90*a(n),a(0)=1,a(1)=13,a(2)=151} ogf] A097168 4.70298 [-(25081*f(x)+1935)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x-f(x)-7*x+1) ogf] A097168 8.90803 [-(-13+218*x-1033*x^2+1260*x^3)/(x-1)/(9*x-1)/(7*x-1)/(10*x-1) lgdogf] A097168 9.73598 [(7*x-1)/(x-1)/(9*x-1)/(10*x-1) ogf] A097169 7.03909 [(18*x^3+10*x^2-3*x-1)/(x-1)/(3*x-1)/(3*x+1)/(10*x^2-1) ogf] A097175 6.70928 [(48*x^3+17*x^2-4*x-1)/(4*x+1)/(4*x-1)/(x-1)/(17*x^2-1) ogf] A097176 6.67533 [(100*x^3+26*x^2-5*x-1)/(x-1)/(5*x+1)/(5*x-1)/(26*x^2-1) ogf] A097177 5.44070 [(900*x^3+101*x^2-10*x-1)/(10*x-1)/(10*x+1)/(x-1)/(101*x^2-1) ogf] A097178 4.58638 [(10201*f(x)+208554)*(10100*f(x)*x^4-201*f(x)*x^2+900*x^3+101*x^2+f(x)-10*x-1) ogf] A097178 7.30199 [-(900*x^3+101*x^2-10*x-1)/(10*x+1)/(10*x-1)/(101*x^2-1) ogf] A097182 8.24002 [-(7-56*x+210*x^2-448*x^3+560*x^4-384*x^5+112*x^6)/(x-1)/(2*x^2-2*x+1)/(8*x^4-16*x^3+12*x^2-4*x+1) lgdogf] A097182 9.89440 [-1/(x-1)/(2*x^2-2*x+1)/(8*x^4-16*x^3+12*x^2-4*x+1) ogf] A097183 31.1653 [-14+(1-16*x)*f(x) lgdogf] A097183 5.05741 [{(-n-2)*a(n+2)+(30+16*n)*a(n+1),a(0)=1,a(1)=14} ogf] A097184 12.5433 [-x*(x-1)*(2*x^2-2*x+1)*(8*x^4-16*x^3+12*x^2-4*x+1) revogf] A097184 6.02776 [{(-16*n-30)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=7} ogf] A097188 10.6816 [1-f(x)+3*f(x)^2*x-3*f(x)^3*x^2 ogf] A097188 41.2025 [x*(1-3*x+3*x^2) revogf] A097188 6.00206 [{(-9*n-15)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A097189 3.77644 [81*f(x)^3*x^3-99*f(x)^3*x^2+19*f(x)^3*x+81*f(x)^2*x^2-f(x)^3-18*f(x)^2*x+f(x)^2+27*f(x)*x-3*f(x)+3 ogf] A097191 6.00347 [-3*(-4+56*x+1944*x^7-378*x^2+1512*x^3-3780*x^4+5832*x^5-5103*x^6)/(3*x^2-3*x+1)/(243*x^6-486*x^5+405*x^4-189*x^3+54*x^2-9*x+1) lgdogf] A097191 7.38067 [1/(3*x^2-3*x+1)/(243*x^6-486*x^5+405*x^4-189*x^3+54*x^2-9*x+1) ogf] A097192 31.6401 [-24+(1-27*x)*f(x) lgdogf] A097192 5.13059 [{(-n-2)*a(n+2)+(51+27*n)*a(n+1),a(0)=1,a(1)=24} ogf] A097193 4.76782 [{(-27*n-51)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=12} ogf] A097193 8.04945 [x*(1-3*x+3*x^2)*(243*x^6-486*x^5+405*x^4-189*x^3+54*x^2-9*x+1) revogf] A097195 8.22745 [-(2*x^4+x^2+x+2)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A097196 13.3146 [-(-x^3+x^2+x)/(x^4-x^3+x-1) ogf_with_Euler_transform] A097197 14.1581 [-(x^2+1)/(x^4-x^3+x-1) ogf_with_Euler_transform] A097228 5.24245 [-(1600*x^9+1620*x^8+380*x^7+270*x^6+120*x^5+8*x^4-138*x^3-127*x^2-38*x-27)/(x-1)/(x+1)/(x^2+1)/(10*x^4-1) ogf] A097242 99.9999 Evaluated at exp(-Pi) 1/4*exp(-1/24*Pi)/Pi^(1/3)*2^(7/8)*3^(1/12)*GAMMA(2/3)^(2/3)*GAMMA(3/4)^(2/3)*(2^(1/2)*(1+3^(1/2)))^(2/3)/GAMMA(11/12)^(2/3) A097243 99.9999 Evaluated at exp(-Pi) 3 A097280 12.5109 [-(7-10*x+5*x^4+6*x^3-5*x^2)/(x-1)/(x^2+x-1)/(5*x^2+3*x-5) lgdogf] A097280 13.7256 [-(5*x^2+3*x-5)/(x^2+x-1)/(x-1) ogf] A097280 7.65741 [(14*f(x)-85)*(f(x)*x^3-2*f(x)*x+5*x^2+f(x)+3*x-5) ogf] A097280 7.73888 [{-a(n+3)+2*a(n+2)-a(n),a(0)=5,a(1)=7,a(2)=9} ogf] A097297 27.5873 [-(-37+30*x)/(x-1)/(5*x-6) lgdogf] A097297 4.48118 [{(6*n+18)*a(n+3)+(-59-11*n)*a(n+2)+(35+5*n)*a(n+1),a(0)=6,a(1)=37,a(2)=133} ogf] A097297 7.90500 [(5*x-6)/(x-1)^7 ogf] A097298 26.9375 [-(-43+35*x)/(x-1)/(5*x-6) lgdogf] A097298 4.37606 [{(6*n+18)*a(n+3)+(-65-11*n)*a(n+2)+(40+5*n)*a(n+1),a(0)=6,a(1)=43,a(2)=176} ogf] A097298 7.01063 [-(5*x-6)/(x-1)^8 ogf] A097299 27.0731 [-(-49+40*x)/(x-1)/(5*x-6) lgdogf] A097299 4.39679 [{(6*n+18)*a(n+3)+(-71-11*n)*a(n+2)+(45+5*n)*a(n+1),a(0)=6,a(1)=49,a(2)=225} ogf] A097299 6.33299 [(5*x-6)/(x-1)^9 ogf] A097300 25.8886 [-5*(-11+9*x)/(x-1)/(5*x-6) lgdogf] A097300 4.37218 [{(6*n+18)*a(n+3)+(-77-11*n)*a(n+2)+(50+5*n)*a(n+1),a(0)=6,a(1)=55,a(2)=280} ogf] A097300 5.53575 [-(5*x-6)/(x-1)^10 ogf] A097308 14.8823 [-(13*x-1)/(x^2-26*x+1) ogf] A097308 18.1028 [-(13-2*x+13*x^2)/(13*x-1)/(x^2-26*x+1) lgdogf] A097308 7.36284 [-(336*f(x)-167)*(f(x)*x^2-26*f(x)*x+f(x)+13*x-1) ogf] A097308 8.32702 [{a(n+2)-26*a(n+1)+a(n),a(0)=1,a(1)=13} ogf] A097309 12.0103 [-1/2*(-26*x-1+(1+24*x)^(1/2)*(28*x+1)^(1/2))/x revogf] A097309 16.4993 [x/(x^2-26*x+1) ogf] A097309 25.1125 [-2*(x-13)/(x^2+1-26*x) lgdogf] A097309 6.84117 [{a(n+2)-26*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A097309 9.3496 [-f(x)*x^2+26*f(x)*x-f(x)+x ogf] A097310 15.1898 [-(14*x-1)/(x^2-28*x+1) ogf] A097310 19.5100 [-2*(7-x+7*x^2)/(14*x-1)/(x^2-28*x+1) lgdogf] A097310 7.59491 [-(195*f(x)-97)*(f(x)*x^2-28*f(x)*x+f(x)+14*x-1) ogf] A097310 8.49906 [{a(n+2)-28*a(n+1)+a(n),a(0)=1,a(1)=14} ogf] A097311 12.2567 [-1/2*(-28*x-1+(26*x+1)^(1/2)*(30*x+1)^(1/2))/x revogf] A097311 16.8326 [x/(x^2-28*x+1) ogf] A097311 24.5134 [-2*(-14+x)/(x^2+1-28*x) lgdogf] A097311 6.97937 [{a(n+2)-28*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A097311 9.53848 [-f(x)*x^2+28*f(x)*x-f(x)+x ogf] A097313 12.4415 [-1/2*(-30*x-1+(28*x+1)^(1/2)*(32*x+1)^(1/2))/x revogf] A097313 17.0826 [x/(x^2-30*x+1) ogf] A097313 24.8830 [-2*(-15+x)/(x^2+1-30*x) lgdogf] A097313 7.08302 [{a(n+2)-30*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A097313 9.68015 [-f(x)*x^2+30*f(x)*x-f(x)+x ogf] A097314 10.5860 [{-a(n+2)+38*a(n+1)-a(n),a(0)=1,a(1)=39} ogf] A097314 11.5708 [-1/2*(-1-38*x+(1+80*x+1440*x^2)^(1/2))/(x-1) revogf] A097314 15.4277 [-(-39+2*x+x^2)/(x+1)/(x^2-38*x+1) lgdogf] A097314 19.3309 [(x+1)/(x^2-38*x+1) ogf] A097314 9.88023 [(1480*f(x)+41)*(f(x)*x^2-38*f(x)*x+f(x)-x-1) ogf] A097315 11.5708 [-1/2*(-1-38*x+(1+72*x+1440*x^2)^(1/2))/(x+1) revogf] A097315 15.9098 [-(37-2*x+x^2)/(x-1)/(x^2-38*x+1) lgdogf] A097315 17.0909 [-(x-1)/(x^2-38*x+1) ogf] A097315 8.36363 [-(1404*f(x)-35)*(f(x)*x^2-38*f(x)*x+f(x)+x-1) ogf] A097315 9.35930 [{a(n+2)-38*a(n+1)+a(n),a(0)=1,a(1)=37} ogf] A097316 10.6710 [-1/2*(-66*x-1+(68*x+1)^(1/2)*(64*x+1)^(1/2))/x revogf] A097316 14.7477 [1/(x^2-66*x+1) ogf] A097316 21.3420 [-2*(-33+x)/(x^2+1-66*x) lgdogf] A097316 5.89907 [(2177*f(x)+1)*(f(x)*x^2-66*f(x)*x+f(x)-1) ogf] A097316 5.96930 [{-a(n+2)+66*a(n+1)-a(n),a(0)=1,a(1)=66} ogf] A097321 18.4527 [-(35+65*x+8*x^2)/(x-1)/(4*x^2+19*x+4) lgdogf] A097321 5.81312 [(78*f(x)+6667)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-24*x^2+f(x)-114*x-24) ogf] A097321 9.54266 [6*(4*x^2+19*x+4)/(x-1)^4 ogf] A097325 12.7354 [-x*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A097325 26.5719 [[x^5-x^4+1] ogf_with_Euler_transform] A097325 9.38869 [-(1+2*x+3*x^2+4*x^3+6*x^5+5*x^6+4*x^7+3*x^8+2*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A097331 11.799 [-f(x)^2*x+2*f(x)*x+f(x)-2*x-1 ogf] A097331 24.1522 [1/2*x-1/4+1/4*(-4*x^2+4*x+1)^(1/2) revogf] A097332 14.1427 [1/2/(1+x+x^2)*(-1+2*x^2+(-4*x^2+4*x+1)^(1/2)) revogf] A097332 6.56453 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x+f(x)*x^2-f(x)+x+1 ogf] A097333 17.4425 [-(x+1)/(x^3+x-1) ogf] A097333 24.0613 [-(2+2*x^3+3*x^2)/(x+1)/(x^3+x-1) lgdogf] A097333 8.35012 [{a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A097333 9.02196 [(11*f(x)-10)*(f(x)*x^3+f(x)*x-f(x)+x+1) ogf] A097334 14.9178 [-(3+16*x^3+12*x^2)/(2*x-1)/(2*x+1)/(2*x^2+x+1) lgdogf] A097334 15.5573 [-(2*x+1)/(2*x-1)/(2*x^2+x+1) ogf] A097334 7.44765 [{a(n+3)-a(n+2)-4*a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A097334 8.23622 [(4*f(x)+5)*(4*f(x)*x^3+f(x)*x-f(x)+2*x+1) ogf] A097335 15.4896 [-(3*x+1)/(9*x^3+x-1) ogf] A097335 15.8968 [-(3*x+2)*(18*x^2-3*x+2)/(1+3*x)/(9*x^3+x-1) lgdogf] A097335 7.41522 [{a(n+3)-a(n+2)-9*a(n),a(0)=1,a(1)=4,a(2)=4} ogf] A097335 8.20036 [(7*f(x)+9)*(9*f(x)*x^3+f(x)*x-f(x)+3*x+1) ogf] A097336 13.7407 [-(4*x+1)/(16*x^3+x-1) ogf] A097336 15.4760 [-(5+48*x^2+128*x^3)/(1+4*x)/(16*x^3+x-1) lgdogf] A097336 6.65338 [{a(n+3)-a(n+2)-16*a(n),a(0)=1,a(1)=5,a(2)=5} ogf] A097336 7.18262 [(11*f(x)+14)*(16*f(x)*x^3+f(x)*x-f(x)+4*x+1) ogf] A097339 7.50910 [(x^4+11*x^3-8*x^2+3*x-1)/(2*x-1)/(x-1)^4 ogf] A097339 9.68508 [-(3-3*x+2*x^5+50*x^4-19*x^3-9*x^2)/(x-1)/(2*x-1)/(x^4+11*x^3-8*x^2+3*x-1) lgdogf] A097340 10.9486 [-(-24*x^2+24*x-24)/(-x^4+1) ogf_with_Euler_transform] A097340 99.9999 Evaluated at exp(-Pi) 64*exp(-Pi) A097362 15.8070 [-(2*x^3-4*x-1)/(x-1)^2/(x+1)^2 ogf] A097362 18.8050 [-2*(-2-2*x+x^4-3*x^2)/(x-1)/(x+1)/(2*x^3-4*x-1) lgdogf] A097362 9.19384 [-(3*f(x)-16)*(f(x)*x^4-2*f(x)*x^2+2*x^3+f(x)-4*x-1) ogf] A097388 12.0884 [4*f(x)^2*x+f(x)^2-1 egf] A097388 55.5309 [-2/(4*x+1) lgdegf] A097388 6.18155 [{(-4*n-6)*a(n+1)-a(n+2),a(0)=1,a(1)=-2} ogf] A097388 79.3299 [x*(x+1) revegf] A097399 10.5184 [(-104-32*x+12*x^3-36*x^2+11*x^13-13*x^12)/(x-1)/(x^13+12*x^3+50*x^2-68*x+86) lgdogf] A097399 11.0084 [(x^13+12*x^3+50*x^2-68*x+86)/(x-1)^2 ogf] A097401 12.1840 [-(-132+262*x+49*x^3-191*x^2)/(x-1)/(49*x^3-169*x^2+200*x-83) lgdogf] A097401 4.74759 [-(2349*f(x)+689854)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+196*x^3-4*f(x)*x-676*x^2+f(x)+800*x-332) ogf] A097401 8.76908 [-4*(49*x^3-169*x^2+200*x-83)/(x-1)^4 ogf] A097405 3.60166 [x^2*(256*x^7+880*x^6-360*x^5-706*x^4+113*x^3+149*x^2-9*x-8)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(2*x^2-1)/(8*x^2-1) ogf] A097451 18.7777 [-x/(x^4-x^3+x-1) ogf_with_Euler_transform] A097462 6.43040 [x^12*(10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A097472 13.2984 [1/(x-1)/(x^3+3*x^2+2*x-1) ogf] A097472 15.2045 [-(3+2*x)*(2*x^2-1)/(x-1)/(x^3+3*x^2+2*x-1) lgdogf] A097472 5.47579 [(31*f(x)+38)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A097481 6.30599 [2*(100*x^22-219*x^21+138*x^20-19*x^19+100*x^12-210*x^11+120*x^10-10*x^9+10*x^2-21*x+12)/(x-1)^2 ogf] A097482 11.4621 [-(x^4-x^3-2*x^2-1)/(x+1)/(x-1)^2 ogf] A097482 14.9075 [(1+7*x-x^4-x^3+x^5+5*x^2)/(x-1)/(x+1)/(x^4-x^3-2*x^2-1) lgdogf] A097482 5.81065 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=4,a(3)=5,a(4)=7} ogf] A097482 6.53698 [-(3*f(x)-64)*(f(x)*x^3+x^4-f(x)*x^2-x^3-f(x)*x-2*x^2+f(x)-1) ogf] A097488 4.14497 [(x^26-2*x^25+x^24+600*x^23-1230*x^22+603*x^21+84*x^20-57*x^19+300*x^12-630*x^11+360*x^10-30*x^9+30*x^2-63*x+36)/(x-1)^2 ogf] A097512 13.6563 [-(18*x-11)/(x^2-3*x+1) ogf] A097512 14.6236 [-1/2*(-11-3*x+(121-6*x+5*x^2)^(1/2))/(18+x) revogf] A097512 16.1234 [-(15-22*x+18*x^2)/(18*x-11)/(x^2-3*x+1) lgdogf] A097512 6.90156 [-(23*f(x)-28)*(f(x)*x^2-3*f(x)*x+f(x)+18*x-11) ogf] A097512 7.64102 [{a(n+2)-3*a(n+1)+a(n),a(0)=11,a(1)=15} ogf] A097513 4.59865 [(x^8-x^7+x^6+x^4+x^2-x+1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A097514 71.5307 [-x+exp(x) lgdegf] A097535 9.75703 [(3*x^21+x^18+x^15+x^13+x^12+x^9+x^6+x^5+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A097550 12.7098 [-(x^2+1)/(x^3-2*x^2+3*x-1) ogf] A097550 18.7066 [-(3-2*x+x^4)/(x^2+1)/(x^3-2*x^2+3*x-1) lgdogf] A097550 6.46836 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A097550 6.64638 [(29*f(x)-22)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)+1) ogf] A097551 7.68268 [-(x^2+1)^2/(x^5-3*x^4+5*x^3-5*x^2+4*x-1) ogf] A097551 8.70378 [-(x^4+2*x^3+3*x^2+4+2*x)*(x-1)^2/(1+x^2)/(x^5-3*x^4+5*x^3-5*x^2+4*x-1) lgdogf] A097552 6.94410 [-(x^2+1)^3/(x-1)/(x^4-3*x^3+4*x^2-4*x+1) ogf] A097552 7.85908 [(-5+10*x+x^6+4*x^2-16*x^3+16*x^4-8*x^5)/(x-1)/(1+x^2)/(x^4-3*x^3+4*x^2-4*x+1) lgdogf] A097553 5.63991 [-(x^2+1)^4/(x^7-5*x^6+11*x^5-17*x^4+17*x^3-13*x^2+6*x-1) ogf] A097554 5.33127 [-(x^2+1)^5/(x^7-6*x^6+15*x^5-24*x^4+25*x^3-18*x^2+7*x-1) ogf] A097555 4.51881 [-(x^2+1)^6/(x^9-7*x^8+21*x^7-41*x^6+57*x^5-59*x^4+45*x^3-25*x^2+8*x-1) ogf] A097564 10.4573 [-x*(x^4-x^3+2*x^2+x+1)/(x^6+2*x^3-1) ogf] A097564 8.81773 [-(1+4*x+3*x^6+6*x^5+4*x^4+8*x^3+3*x^2+8*x^7-3*x^8+2*x^9)/(x^6+2*x^3-1)/(x^4-x^3+2*x^2+x+1) lgdogf] A097575 10.0269 [-(x^7+x^6+x^5+2*x^3+x^2+x+1)/(x^8+x^4-1) ogf] A097575 7.17735 [-(1+2*x+8*x^4+4*x^3+x^14+2*x^13+7*x^10+4*x^9+6*x^8+8*x^7+6*x^2+8*x^5+9*x^6+3*x^12)/(x^7+x^6+x^5+2*x^3+x^2+x+1)/(x^8+x^4-1) lgdogf] A097578 12.4238 [(4*x^3+6*x^2+6*x+1)/(2*x^2-1)^2 ogf] A097578 12.9999 [-2*(3+10*x+4*x^4+12*x^3+24*x^2)/(2*x^2-1)/(4*x^3+6*x^2+6*x+1) lgdogf] A097578 7.84023 [(32*f(x)-57)*(4*f(x)*x^4-4*f(x)*x^2-4*x^3-6*x^2+f(x)-6*x-1) ogf] A097579 4.81193 [(252657*f(x)-4145)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)-7*x+1) ogf] A097579 4.97644 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=28,a(2)=946} ogf] A097579 9.24197 [-(x^2-7*x+1)/(x-1)/(x^2-34*x+1) ogf] A097579 9.51923 [-(28-68*x-14*x^3+x^4+213*x^2)/(x-1)/(x^2-34*x+1)/(x^2-7*x+1) lgdogf] A097581 11.7429 [-(4+18*x+29*x^2+24*x^3+10*x^4)/(x+1)/(2*x^2-1)/(5*x^2+6*x+2) lgdogf] A097581 11.7923 [-(5*x^2+6*x+2)/(x+1)/(2*x^2-1) ogf] A097581 6.36577 [(22*f(x)-21)*(2*f(x)*x^3+2*f(x)*x^2-f(x)*x+5*x^2-f(x)+6*x+2) ogf] A097581 6.42261 [{a(n+3)+a(n+2)-2*a(n+1)-2*a(n),a(0)=2,a(1)=4,a(2)=5} ogf] A097593 3.35239 [{a(n)+(n+1)*a(n+1)+(-2*n-5)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=0,a(2)=1/2,a(3)=2/3} egf] A097594 9.04928 [-(1+x^2)*(3*x^4+2*x^3+9*x^2+6*x+5)/(3*x^3+x^2+5*x+2)/(x^4+x^2-1) lgdogf] A097594 9.13708 [-(3*x^3+x^2+5*x+2)/(x^4+x^2-1) ogf] A097594 9.55954 [(34*f(x)+23)*(f(x)*x^4+f(x)*x^2+3*x^3+x^2-f(x)+5*x+2) ogf] A097596 6.84528 [(x^9-x^7+x^6+x^5-x+1)/(x-1)/(x^2+1)/(x^3+x^2+x-1)/(x^4-x^2+1) ogf] A097602 6.58933 [-(2+2*x+x^18+4*x^7+4*x^8+10*x^9+2*x^11+7*x^12+4*x^5+4*x^6+6*x^3+4*x^4+2*x^2+2*x^10)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^10-x^9+x^4+1) lgdogf] A097602 9.34577 [-(x^10-x^9+x^4+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A097613 3.75316 [{(4*n^2+2*n)*a(n)+(-9*n^2-29*n-18)*a(n+1)+(6*n^2+34*n+48)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A097613 7.33093 [-4*f(x)^2*x^2+f(x)^2*x+4*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1 ogf] A097625 3.24873 [{-8*a(n+1)+(-2*n-10)*a(n+2)+(-n-3)*a(n+3)+a(n+4),a(0)=-1,a(1)=0,a(2)=2,a(3)=-4} ogf] A097632 12.3402 [-2*(4*x+1)/(4*x^2+2*x-1) egf] A097632 14.3152 [-2*(3+4*x+8*x^2)/(4*x+1)/(4*x^2+2*x-1) lgdegf] A097632 6.03598 [-(25*f(x)+112)*(4*f(x)*x^2+2*f(x)*x-f(x)+8*x+2) egf] A097648 3.09757 [(7381*f(x)-126714840)*(-11154440*x^3-1014040*x^2+f(x)-110440*x-10040) ogf] A097648 9.31442 [(11+202*x+3333*x^2)/(11*x+1)/(101*x^2+1) lgdogf] A097657 13.2976 [-(12*x+11)/(x^2+x-1) ogf] A097657 14.9085 [1/2/(12+x)*(-11-x+(121+70*x+5*x^2)^(1/2)) revogf] A097657 16.5203 [-(23+22*x+12*x^2)/(12*x+11)/(x^2+x-1) lgdogf] A097657 7.02231 [(45*f(x)+34)*(f(x)*x^2+f(x)*x-f(x)+12*x+11) ogf] A097657 7.44031 [{a(n+2)-a(n+1)-a(n),a(0)=11,a(1)=23} ogf] A097658 3.71930 [3*x*(x-3)/(x-1)^3 ogf] A097658 9.23483 [-2*(-4+x)/(-1+x)/(x-3) lgdogf] A097659 10.3545 [-1001*f(x)*x+f(x)-1 ogf] A097659 18.9834 [-1/(1001*x-1) ogf] A097659 23.4742 [1/1001*ln(1+1001*x) revegf] A097659 26.2358 [-1001/(-1+1001*x) lgdogf] A097659 8.28365 [{a(n+1)-1001*a(n),a(0)=1} ogf] A097677 21.5462 [-3*(1+x^2)/(x-1)/(x^2+x+1) lgdegf] A097677 3.84016 [{(-n^3-9*n^2-26*n-24)*a(n+1)+a(n+4)-3*a(n+3),a(0)=1,a(1)=3,a(2)=9,a(3)=33} ogf] A097678 11.8199 [9*x+9*x^2+(-3+3*x+3*x^2+3*x^3)*f(x)+(-1+x^3)*f(x)^2 lgdegf] A097678 3.75429 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(-3*n-9)*a(n+2)+a(n+4),a(0)=1,a(1)=0,a(2)=3,a(3)=6} ogf] A097679 18.6508 [-4+4*x-4*x^2+(x^2+1-x-x^3)*f(x) lgdegf] A097680 17.5338 [-5*(x^4+1)/(x-1)/(x^4+x^3+x^2+x+1) lgdegf] A097681 5.00830 [-216+216*x-216*x^2-216*x^5+(108-108*x+108*x^2+72*x^5)*f(x)+(-18+18*x-18*x^2-6*x^5)*f(x)^2+(-x+x^2+1)*f(x)^3 lgdegf] A097682 12.9555 [(8*f(x)*x-f(x)+1)^3 ogf] A097693 12.9932 [-6*(-18+17*x+2*x^3-9*x^2)/(x-1)/(12*x^3-45*x^2+64*x-43) lgdogf] A097693 4.67209 [(2349108*f(x)+145059653)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+24*x^3-4*f(x)*x-90*x^2+f(x)+128*x-86) ogf] A097693 8.88838 [-2*(12*x^3-45*x^2+64*x-43)/(x-1)^4 ogf] A097696 5.12335 [(6656789529*f(x)+82534104902294)*(-65*x^4+f(x)*x^2-1454*x^3-2*f(x)*x-1840*x^2+f(x)+5902*x-7343) ogf] A097696 8.51503 [2*(-4392+1111*x-2181*x^2+597*x^3+65*x^4)/(x-1)/(65*x^4+1454*x^3+1840*x^2-5902*x+7343) lgdogf] A097696 8.99712 [(65*x^4+1454*x^3+1840*x^2-5902*x+7343)/(x-1)^2 ogf] A097701 17.7054 [-(2+8*x+9*x^3+11*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A097701 26.6198 [1/2*(x+2)^2 egf]_with_Euler_transform] A097701 9.13599 [-1/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A097705 15.1451 [1/34/x*(-4*x-1+(84*x^2+8*x+1)^(1/2)) revogf] A097705 16.3884 [-1/(17*x^2+4*x-1) ogf] A097705 20.9701 [-2*(2+17*x)/(17*x^2-1+4*x) lgdogf] A097705 6.33189 [-(25*f(x)-17)*(17*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A097705 6.71333 [{-a(n+2)+4*a(n+1)+17*a(n),a(0)=1,a(1)=4} ogf] A097723 15.2137 [-(4*x^2+2*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A097723 99.9999 Evaluated at exp(-Pi) 1/16*exp(3/4*Pi)*Pi*2^(1/4)/GAMMA(3/4)^4 A097725 13.2087 [-1/2*(-102*x-1+(100*x+1)^(1/2)*(104*x+1)^(1/2))/x revogf] A097725 18.8016 [1/(x^2-102*x+1) ogf] A097725 26.9677 [-2*(-51+x)/(x^2+1-102*x) lgdogf] A097725 7.65181 [{-a(n+2)+102*a(n+1)-a(n),a(0)=1,a(1)=102} ogf] A097725 7.65182 [(5201*f(x)+1)*(f(x)*x^2-102*f(x)*x+f(x)-1) ogf] A097726 11.0046 [-(-103+2*x+x^2)/(x+1)/(x^2+1-102*x) lgdogf] A097726 14.0012 [(x+1)/(x^2-102*x+1) ogf] A097726 7.07587 [(10504*f(x)+105)*(f(x)*x^2-102*f(x)*x+f(x)-x-1) ogf] A097726 7.65181 [{-a(n+2)+102*a(n+1)-a(n),a(0)=1,a(1)=103} ogf] A097726 8.19492 [-1/2*(-1-102*x+(1+208*x+10400*x^2)^(1/2))/(x-1) revogf] A097727 13.7707 [-1/2*(-1-102*x+(1+200*x+10400*x^2)^(1/2))/(1+x) revogf] A097727 14.0012 [-(x-1)/(x^2-102*x+1) ogf] A097727 18.4921 [-(101-2*x+x^2)/(-1+x)/(x^2+1-102*x) lgdogf] A097727 6.85475 [-(10300*f(x)-99)*(f(x)*x^2-102*f(x)*x+f(x)+x-1) ogf] A097727 7.65181 [{a(n+2)-102*a(n+1)+a(n),a(0)=1,a(1)=101} ogf] A097728 11.6436 [1/(x^2-146*x+1) ogf] A097728 17.2863 [-2*(x-73)/(x^2+1-146*x) lgdogf] A097728 4.68419 [(10657*f(x)+1)*(f(x)*x^2-146*f(x)*x+f(x)-1) ogf] A097728 4.73866 [{-a(n+2)+146*a(n+1)-a(n),a(0)=1,a(1)=146} ogf] A097728 8.11399 [-1/2*(-146*x-1+(148*x+1)^(1/2)*(144*x+1)^(1/2))/x revogf] A097729 12.1846 [-1/2*(-1-146*x+(1+296*x+21312*x^2)^(1/2))/(x-1) revogf] A097729 14.5774 [(x+1)/(x^2-146*x+1) ogf] A097729 16.3622 [-(-147+2*x+x^2)/(x+1)/(x^2+1-146*x) lgdogf] A097729 7.36706 [(21460*f(x)+149)*(f(x)*x^2-146*f(x)*x+f(x)-x-1) ogf] A097729 7.96671 [{-a(n+2)+146*a(n+1)-a(n),a(0)=1,a(1)=147} ogf] A097730 11.3596 [-(145-2*x+x^2)/(-1+x)/(x^2+1-146*x) lgdogf] A097730 4.73866 [{a(n+2)-146*a(n+1)+a(n),a(0)=1,a(1)=145} ogf] A097730 6.0127 [-(21168*f(x)-143)*(f(x)*x^2-146*f(x)*x+f(x)+x-1) ogf] A097730 8.45927 [-1/2*(-1-146*x+(1+288*x+21312*x^2)^(1/2))/(1+x) revogf] A097730 8.67074 [-(x-1)/(x^2-146*x+1) ogf] A097731 12.2825 [1/(x^2-198*x+1) ogf] A097731 17.4979 [-2*(-99+x)/(x^2+1-198*x) lgdogf] A097731 4.94125 [(19601*f(x)+1)*(f(x)*x^2-198*f(x)*x+f(x)-1) ogf] A097731 4.99871 [{-a(n+2)+198*a(n+1)-a(n),a(0)=1,a(1)=198} ogf] A097731 8.57040 [-1/2*(-198*x-1+(196*x+1)^(1/2)*(200*x+1)^(1/2))/x revogf] A097732 11.9986 [-(-199+2*x+x^2)/(x+1)/(x^2+1-198*x) lgdogf] A097732 13.0830 [(x+1)/(x^2-198*x+1) ogf] A097732 6.61183 [(39400*f(x)+201)*(f(x)*x^2-198*f(x)*x+f(x)-x-1) ogf] A097732 7.15001 [{-a(n+2)+198*a(n+1)-a(n),a(0)=1,a(1)=199} ogf] A097732 8.93510 [-1/2*(-1-198*x+(1+400*x+39200*x^2)^(1/2))/(x-1) revogf] A097733 12.3515 [-(197-2*x+x^2)/(x-1)/(x^2+1-198*x) lgdogf] A097733 4.43184 [-(39004*f(x)-195)*(f(x)*x^2-198*f(x)*x+f(x)+x-1) ogf] A097733 4.99871 [{a(n+2)-198*a(n+1)+a(n),a(0)=1,a(1)=197} ogf] A097733 8.93510 [-1/2*(-1-198*x+(1+392*x+39200*x^2)^(1/2))/(1+x) revogf] A097733 9.14657 [-(x-1)/(x^2-198*x+1) ogf] A097734 12.8505 [1/(x^2-258*x+1) ogf] A097734 17.5932 [-2*(-129+x)/(x^2+1-258*x) lgdogf] A097734 5.16975 [(33281*f(x)+1)*(f(x)*x^2-258*f(x)*x+f(x)-1) ogf] A097734 5.22987 [{-a(n+2)+258*a(n+1)-a(n),a(0)=1,a(1)=258} ogf] A097734 8.97610 [-1/2*(-258*x-1+(256*x+1)^(1/2)*(260*x+1)^(1/2))/x revogf] A097735 12.5665 [-(-259+2*x+x^2)/(x+1)/(x^2+1-258*x) lgdogf] A097735 13.7007 [(x+1)/(x^2-258*x+1) ogf] A097735 6.92398 [(66820*f(x)+261)*(f(x)*x^2-258*f(x)*x+f(x)-x-1) ogf] A097735 7.48757 [{-a(n+2)+258*a(n+1)-a(n),a(0)=1,a(1)=259} ogf] A097735 9.35807 [-1/2*(-1-258*x+(1+520*x+66560*x^2)^(1/2))/(x-1) revogf] A097736 12.9361 [-(257-2*x+x^2)/(x-1)/(x^2+1-258*x) lgdogf] A097736 5.22987 [{a(n+2)-258*a(n+1)+a(n),a(0)=1,a(1)=257} ogf] A097736 6.63845 [-(66304*f(x)-255)*(f(x)*x^2-258*f(x)*x+f(x)+x-1) ogf] A097736 9.35807 [-1/2*(-1-258*x+(1+512*x+66560*x^2)^(1/2))/(1+x) revogf] A097736 9.56955 [-(x-1)/(x^2-258*x+1) ogf] A097737 13.4185 [1/(x^2-326*x+1) ogf] A097737 18.3883 [-2*(-163+x)/(x^2+1-326*x) lgdogf] A097737 5.39825 [(53137*f(x)+1)*(f(x)*x^2-326*f(x)*x+f(x)-1) ogf] A097737 5.46102 [{-a(n+2)+326*a(n+1)-a(n),a(0)=1,a(1)=326} ogf] A097737 9.38180 [-1/2*(-326*x-1+(328*x+1)^(1/2)*(324*x+1)^(1/2))/x revogf] A097738 12.0607 [(x+1)/(x^2-326*x+1) ogf] A097738 13.1345 [-(-327+2*x+x^2)/(x+1)/(x^2+1-326*x) lgdogf] A097738 6.03036 [(106600*f(x)+329)*(f(x)*x^2-326*f(x)*x+f(x)-x-1) ogf] A097738 6.59133 [{-a(n+2)+326*a(n+1)-a(n),a(0)=1,a(1)=327} ogf] A097738 9.57726 [-1/2*(-1-326*x+(1+656*x+106272*x^2)^(1/2))/(x-1) revogf] A097739 13.5208 [-(325-2*x+x^2)/(x-1)/(x^2+1-326*x) lgdogf] A097739 5.46102 [{a(n+2)-326*a(n+1)+a(n),a(0)=1,a(1)=325} ogf] A097739 6.86693 [-(105948*f(x)-323)*(f(x)*x^2-326*f(x)*x+f(x)+x-1) ogf] A097739 9.57726 [-1/2*(-1-326*x+(1+648*x+106272*x^2)^(1/2))/(1+x) revogf] A097739 9.99251 [-(x-1)/(x^2-326*x+1) ogf] A097740 13.7735 [1/(x^2-402*x+1) ogf] A097740 18.8853 [-2*(-201+x)/(x^2+1-402*x) lgdogf] A097740 5.54106 [(80801*f(x)+1)*(f(x)*x^2-402*f(x)*x+f(x)-1) ogf] A097740 5.60550 [{-a(n+2)+402*a(n+1)-a(n),a(0)=1,a(1)=402} ogf] A097740 9.63537 [-1/2*(-402*x-1+(404*x+1)^(1/2)*(400*x+1)^(1/2))/x revogf] A097741 12.3882 [(x+1)/(x^2-402*x+1) ogf] A097741 13.4895 [-(-403+2*x+x^2)/(x+1)/(x^2+1-402*x) lgdogf] A097741 6.19408 [(162004*f(x)+405)*(f(x)*x^2-402*f(x)*x+f(x)-x-1) ogf] A097741 6.77028 [{-a(n+2)+402*a(n+1)-a(n),a(0)=1,a(1)=403} ogf] A097741 9.83610 [-1/2*(-1-402*x+(1+808*x+161600*x^2)^(1/2))/(x-1) revogf] A097742 10.2569 [-(x-1)/(x^2-402*x+1) ogf] A097742 13.8863 [-(401-2*x+x^2)/(x-1)/(x^2+1-402*x) lgdogf] A097742 5.60550 [{a(n+2)-402*a(n+1)+a(n),a(0)=1,a(1)=401} ogf] A097742 7.05544 [-(161200*f(x)-399)*(f(x)*x^2-402*f(x)*x+f(x)+x-1) ogf] A097742 9.83610 [-1/2*(-1-402*x+(1+800*x+161600*x^2)^(1/2))/(1+x) revogf] A097765 14.1285 [1/(x^2-486*x+1) ogf] A097765 19.3823 [-2*(-243+x)/(x^2+1-486*x) lgdogf] A097765 5.61928 [(118097*f(x)+1)*(f(x)*x^2-486*f(x)*x+f(x)-1) ogf] A097765 5.74997 [{-a(n+2)+486*a(n+1)-a(n),a(0)=1,a(1)=486} ogf] A097765 9.88893 [-1/2*(-486*x-1+(484*x+1)^(1/2)*(488*x+1)^(1/2))/x revogf] A097766 10.0949 [-1/2*(-1-486*x+(1+976*x+236192*x^2)^(1/2))/(x-1) revogf] A097766 12.7156 [(x+1)/(x^2-486*x+1) ogf] A097766 13.8445 [-(-487+2*x+x^2)/(x+1)/(x^2+1-486*x) lgdogf] A097766 6.3578 [(236680*f(x)+489)*(f(x)*x^2-486*f(x)*x+f(x)-x-1) ogf] A097766 6.94922 [{-a(n+2)+486*a(n+1)-a(n),a(0)=1,a(1)=487} ogf] A097767 10.0949 [-1/2*(-1-486*x+(1+968*x+236192*x^2)^(1/2))/(1+x) revogf] A097767 10.5212 [-(x-1)/(x^2-486*x+1) ogf] A097767 14.2517 [-(485-2*x+x^2)/(x-1)/(x^2+1-486*x) lgdogf] A097767 5.04588 [-(235708*f(x)-483)*(f(x)*x^2-486*f(x)*x+f(x)+x-1) ogf] A097767 5.74997 [{a(n+2)-486*a(n+1)+a(n),a(0)=1,a(1)=485} ogf] A097768 10.1425 [-1/2*(-578*x-1+(576*x+1)^(1/2)*(580*x+1)^(1/2))/x revogf] A097768 14.4835 [1/(x^2-578*x+1) ogf] A097768 19.8793 [-2*(-289+x)/(x^2+1-578*x) lgdogf] A097768 5.76047 [(167041*f(x)+1)*(f(x)*x^2-578*f(x)*x+f(x)-1) ogf] A097768 5.89444 [{-a(n+2)+578*a(n+1)-a(n),a(0)=1,a(1)=578} ogf] A097769 10.1425 [-1/2*(-1-578*x+(1+1160*x+334080*x^2)^(1/2))/(x-1) revogf] A097769 10.7856 [(x+1)/(x^2-578*x+1) ogf] A097769 14.1995 [-(-579+2*x+x^2)/(x+1)/(x^2+1-578*x) lgdogf] A097769 5.39278 [(334660*f(x)+581)*(f(x)*x^2-578*f(x)*x+f(x)-x-1) ogf] A097769 5.89444 [{-a(n+2)+578*a(n+1)-a(n),a(0)=1,a(1)=579} ogf] A097770 10.1425 [-1/2*(-1-578*x+(1+1152*x+334080*x^2)^(1/2))/(1+x) revogf] A097770 10.7856 [-(x-1)/(x^2-578*x+1) ogf] A097770 14.6171 [-(577-2*x+x^2)/(x-1)/(x^2+1-578*x) lgdogf] A097770 5.17266 [-(333504*f(x)-575)*(f(x)*x^2-578*f(x)*x+f(x)+x-1) ogf] A097770 5.89444 [{a(n+2)-578*a(n+1)+a(n),a(0)=1,a(1)=577} ogf] A097771 11.9895 [1/(x^2-678*x+1) ogf] A097771 16.4016 [-2*(-339+x)/(x^2+1-678*x) lgdogf] A097771 4.76854 [(229841*f(x)+1)*(f(x)*x^2-678*f(x)*x+f(x)-1) ogf] A097771 4.87944 [{-a(n+2)+678*a(n+1)-a(n),a(0)=1,a(1)=678} ogf] A097771 8.36818 [-1/2*(-1-678*x+(676*x+1)^(1/2)*(680*x+1)^(1/2))/x revogf] A097772 10.9970 [(x+1)/(x^2-678*x+1) ogf] A097772 11.7155 [-(-679+2*x+x^2)/(x+1)/(x^2+1-678*x) lgdogf] A097772 5.49852 [(460360*f(x)+681)*(f(x)*x^2-678*f(x)*x+f(x)-x-1) ogf] A097772 6.01001 [{-a(n+2)+678*a(n+1)-a(n),a(0)=1,a(1)=679} ogf] A097772 8.36818 [-1/2*(-1-678*x+(1+1360*x+459680*x^2)^(1/2))/(x-1) revogf] A097773 12.0600 [-(677-2*x+x^2)/(x-1)/(x^2+1-678*x) lgdogf] A097773 4.87944 [{a(n+2)-678*a(n+1)+a(n),a(0)=1,a(1)=677} ogf] A097773 5.27409 [-(459004*f(x)-675)*(f(x)*x^2-678*f(x)*x+f(x)+x-1) ogf] A097773 8.36818 [-1/2*(-1-678*x+(1+1352*x+459680*x^2)^(1/2))/(1+x) revogf] A097773 8.92834 [-(x-1)/(x^2-678*x+1) ogf] A097774 12.2635 [1/(x^2-786*x+1) ogf] A097774 16.7853 [-2*(-393+x)/(x^2+1-786*x) lgdogf] A097774 4.87754 [(308897*f(x)+1)*(f(x)*x^2-786*f(x)*x+f(x)-1) ogf] A097774 4.99098 [{-a(n+2)+786*a(n+1)-a(n),a(0)=1,a(1)=786} ogf] A097774 8.56393 [-1/2*(-1-786*x+(788*x+1)^(1/2)*(784*x+1)^(1/2))/x revogf] A097775 11.9895 [-(-787+2*x+x^2)/(x+1)/(x^2+1-786*x) lgdogf] A097775 13.5342 [(x+1)/(x^2-786*x+1) ogf] A097775 6.7671 [(618580*f(x)+789)*(f(x)*x^2-786*f(x)*x+f(x)-x-1) ogf] A097775 7.39660 [{-a(n+2)+786*a(n+1)-a(n),a(0)=1,a(1)=787} ogf] A097775 8.56393 [-1/2*(-1-786*x+(1+1576*x+617792*x^2)^(1/2))/(x-1) revogf] A097776 12.3421 [-(785-2*x+x^2)/(x-1)/(x^2+1-786*x) lgdogf] A097776 4.37983 [-(617008*f(x)-783)*(f(x)*x^2-786*f(x)*x+f(x)+x-1) ogf] A097776 4.99098 [{a(n+2)-786*a(n+1)+a(n),a(0)=1,a(1)=785} ogf] A097776 8.56393 [-1/2*(-1-786*x+(1+1568*x+617792*x^2)^(1/2))/(1+x) revogf] A097776 9.13243 [-(x-1)/(x^2-786*x+1) ogf] A097778 11.2712 [-1/2*(-23*x-1+(21*x+1)^(1/2)*(25*x+1)^(1/2))/x revogf] A097778 15.5754 [1/(x^2-23*x+1) ogf] A097778 22.5424 [-(-23+2*x)/(x^2+1-23*x) lgdogf] A097778 6.30434 [(527*f(x)+2)*(f(x)*x^2-23*f(x)*x+f(x)-1) ogf] A097778 6.30435 [{-a(n+2)+23*a(n+1)-a(n),a(0)=1,a(1)=23} ogf] A097780 11.4520 [-1/2*(-25*x-1+(27*x+1)^(1/2)*(23*x+1)^(1/2))/x revogf] A097780 15.8201 [1/(x^2-25*x+1) ogf] A097780 22.9040 [-(-25+2*x)/(x^2+1-25*x) lgdogf] A097780 6.40336 [(623*f(x)+2)*(f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A097780 6.40336 [{-a(n+2)+25*a(n+1)-a(n),a(0)=1,a(1)=25} ogf] A097781 11.8136 [-1/2*(-27*x-1+(25*x+1)^(1/2)*(29*x+1)^(1/2))/x revogf] A097781 16.3094 [1/(x^2-27*x+1) ogf] A097781 23.6273 [-(-27+2*x)/(x^2+1-27*x) lgdogf] A097781 6.6014 [(727*f(x)+2)*(f(x)*x^2-27*f(x)*x+f(x)-1) ogf] A097781 6.60140 [{-a(n+2)+27*a(n+1)-a(n),a(0)=1,a(1)=27} ogf] A097782 11.9945 [-1/2*(-29*x-1+(27*x+1)^(1/2)*(31*x+1)^(1/2))/x revogf] A097782 16.5540 [1/(x^2-29*x+1) ogf] A097782 23.9889 [-(-29+2*x)/(x^2+1-29*x) lgdogf] A097782 6.70042 [(839*f(x)+2)*(f(x)*x^2-29*f(x)*x+f(x)-1) ogf] A097782 6.70043 [{-a(n+2)+29*a(n+1)-a(n),a(0)=1,a(1)=29} ogf] A097783 12.6370 [-1/2*(-1-11*x+(1+26*x+117*x^2)^(1/2))/(x-1) revogf] A097783 15.1740 [(x+1)/(x^2-11*x+1) ogf] A097783 16.4664 [-(-12+2*x+x^2)/(x+1)/(x^2-11*x+1) lgdogf] A097783 8.02305 [(65*f(x)+7)*(f(x)*x^2-11*f(x)*x+f(x)-x-1) ogf] A097783 8.30958 [{-a(n+2)+11*a(n+1)-a(n),a(0)=1,a(1)=12} ogf] A097784 16.9095 [-(11-22*x+3*x^2)/(x-1)/(x^2-10*x+1) lgdogf] A097784 17.2831 [-1/(x-1)/(x^2-10*x+1) ogf] A097784 5.76102 [{a(n+3)-11*a(n+2)+11*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=110} ogf] A097784 6.41943 [(9711*f(x)-31)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A097786 11.4960 [-1/(3*x-1)/(x-1)^4 ogf] A097786 25.2360 [-(-7+15*x)/(-1+3*x)/(x-1) lgdogf] A097786 4.20769 [{(-n-3)*a(n+3)+(15+4*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=1,a(1)=7,a(2)=31} ogf] A097787 25.7510 [-2*(-4+9*x)/(3*x-1)/(x-1) lgdogf] A097787 4.29184 [{(-n-3)*a(n+3)+(16+4*n)*a(n+2)+(-21-3*n)*a(n+1),a(0)=1,a(1)=8,a(2)=39} ogf] A097787 9.51670 [1/(3*x-1)/(x-1)^5 ogf] A097788 11.1982 [-1/(4*x-1)/(x-1)^4 ogf] A097788 24.5822 [-4*(-2+5*x)/(4*x-1)/(x-1) lgdogf] A097788 4.09868 [{(-n-3)*a(n+3)+(18+5*n)*a(n+2)+(-24-4*n)*a(n+1),a(0)=1,a(1)=8,a(2)=42} ogf] A097789 24.1192 [-3*(-3+8*x)/(-1+4*x)/(x-1) lgdogf] A097789 4.18065 [{(-n-3)*a(n+3)+(19+5*n)*a(n+2)+(-28-4*n)*a(n+1),a(0)=1,a(1)=9,a(2)=51} ogf] A097789 9.27014 [1/(4*x-1)/(x-1)^5 ogf] A097790 10.2209 [-1/(5*x-1)/(x-1)^4 ogf] A097790 3.74098 [{(-n-3)*a(n+3)+(21+6*n)*a(n+2)+(-30-5*n)*a(n+1),a(0)=1,a(1)=9,a(2)=55} ogf] A097791 22.7730 [-10*(3*x-1)/(5*x-1)/(x-1) lgdogf] A097791 3.77599 [{(-n-3)*a(n+3)+(22+6*n)*a(n+2)+(-35-5*n)*a(n+1),a(0)=1,a(1)=10,a(2)=65} ogf] A097791 8.30719 [1/(5*x-1)/(x-1)^5 ogf] A097793 10.3653 [-(-x^12-x^10-x^8-x^4-x^2-1)/(-x^14+1) ogf_with_Euler_transform] A097795 12.0882 [-x^2*(x^14-x^11-1)/(x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A097801 16.711 [-2*f(x)^2*x+f(x)^2-4 egf] A097801 56.9091 [-1/8*x*(-4+x) revegf] A097801 73.9818 [-1/(2*x-1) lgdegf] A097801 8.54541 [{(-2*n-3)*a(n+1)+a(n+2),a(0)=2,a(1)=2} ogf] A097802 17.4610 [3*(24*x+1)/(x-1)^2 ogf] A097802 21.2967 [-1/2*(-3-2*x+(9+300*x)^(1/2))/(-72+x) revogf] A097802 29.1844 [-2*(13+12*x)/(24*x+1)/(x-1) lgdogf] A097802 9.02478 [(25*f(x)+939)*(f(x)*x^2-2*f(x)*x+f(x)-72*x-3) ogf] A097802 9.67717 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=78} ogf] A097803 14.1581 [-3*(3*x^2+1)/(x-1)^3 ogf] A097803 30.4533 [-3*(x+1)^2/(x-1)/(3*x^2+1) lgdogf] A097803 7.14170 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=9,a(2)=27} ogf] A097803 7.83507 [-f(x)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+3) ogf] A097804 13.0576 [-1/2*(-9-6*x+(81+24*x+16*x^2)^(1/2))/(21+5*x) revogf] A097804 15.0665 [-(11-30*x+35*x^2)/(x-1)/(7*x-3)/(5*x-1) lgdogf] A097804 15.8138 [-3*(7*x-3)/(5*x-1)/(x-1) ogf] A097804 7.9069 [-(12*f(x)+13)*(5*f(x)*x^2-6*f(x)*x+f(x)+21*x-9) ogf] A097804 8.76426 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=9,a(1)=33} ogf] A097809 11.9340 [-(x^2+1)/(2*x-1)/(x-1)^2 ogf] A097809 16.2594 [-2*(-2+2*x+x^3+x^2)/(x-1)/(2*x-1)/(x^2+1) lgdogf] A097809 6.01982 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=12} ogf] A097809 8.00282 [-2*f(x)*x^3+5*f(x)*x^2-4*f(x)*x-x^2+f(x)-1 ogf] A097810 11.2630 [-(x^2+x+1)/(2*x-1)/(x-1)^2 ogf] A097810 14.9653 [-(-5+3*x+2*x^3+6*x^2)/(x-1)/(2*x-1)/(x^2+x+1) lgdogf] A097810 5.97428 [(597*f(x)-461)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)+x+1) ogf] A097810 6.08002 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=16} ogf] A097813 13.7586 [-(3*x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A097813 7.49352 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A097813 7.56103 [(5*f(x)-2)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A097814 27.7356 [-6+9*x+(1-3*x)*f(x) lgdegf] A097814 3.92927 [{(-9*n-18)*a(n+1)+(3*n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=45} ogf] A097815 28.8987 [-8+16*x+(1-4*x)*f(x) lgdegf] A097815 4.27035 [{(-16*n-32)*a(n+1)+(4*n+16)*a(n+2)-a(n+3),a(0)=1,a(1)=8,a(2)=80} ogf] A097816 25.4814 [-10+25*x+(1-5*x)*f(x) lgdegf] A097816 3.90143 [{(-25*n-50)*a(n+1)+(5*n+20)*a(n+2)-a(n+3),a(0)=1,a(1)=10,a(2)=125} ogf] A097817 27.5865 [-5+6*x+(1-3*x)*f(x) lgdegf] A097817 3.90859 [{(-6*n-12)*a(n+1)+(3*n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=34} ogf] A097818 4.03163 [(40509*f(x)+10490)*(100*f(x)*x^2-101*f(x)*x+f(x)-10*x-8) ogf] A097818 4.48978 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=8,a(1)=818} ogf] A097818 7.26719 [-1/20*(-8-101*x+(64+1656*x+9801*x^2)^(1/2))/(-1+10*x) revogf] A097818 7.90202 [2*(5*x+4)/(100*x-1)/(x-1) ogf] A097818 8.37307 [-(-409+800*x+500*x^2)/(-1+x)/(5*x+4)/(100*x-1) lgdogf] A097819 28.4738 [-7+12*x+(1-4*x)*f(x) lgdegf] A097819 4.85917 [{(-12*n-24)*a(n+1)+(4*n+15)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=65} ogf] A097820 29.9724 [-6+8*x+(1-4*x)*f(x) lgdegf] A097820 4.23947 [{(-8*n-16)*a(n+1)+(4*n+14)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=52} ogf] A097821 25.9237 [-7+10*x+(1-5*x)*f(x) lgdegf] A097821 3.83743 [{(-10*n-20)*a(n+1)+(5*n+17)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=74} ogf] A097826 16.4664 [-3*(4-8*x+x^2)/(x-1)/(x^2-11*x+1) lgdogf] A097826 17.8976 [-1/(x-1)/(x^2-11*x+1) ogf] A097826 5.96585 [{a(n+3)-12*a(n+2)+12*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=132} ogf] A097826 6.64767 [(7145*f(x)-17)*(f(x)*x^3-12*f(x)*x^2+12*f(x)*x-f(x)+1) ogf] A097827 12.8584 [-1/(x-1)/(x^2-12*x+1) ogf] A097827 14.0042 [-(13-26*x+3*x^2)/(x-1)/(x^2-12*x+1) lgdogf] A097827 4.28614 [{a(n+3)-13*a(n+2)+13*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=156} ogf] A097827 4.73093 [(20317*f(x)-37)*(f(x)*x^3-13*f(x)*x^2+13*f(x)*x-f(x)+1) ogf] A097828 13.1490 [-1/(x-1)/(x^2-13*x+1) ogf] A097828 14.3279 [-(14-28*x+3*x^2)/(x-1)/(x^2-13*x+1) lgdogf] A097828 4.38300 [{a(n+3)-14*a(n+2)+14*a(n+1)-a(n),a(0)=1,a(1)=14,a(2)=182} ogf] A097828 4.88392 [(7017*f(x)-10)*(f(x)*x^3-14*f(x)*x^2+14*f(x)*x-f(x)+1) ogf] A097829 13.7302 [-1/(x-1)/(x^2-15*x+1) ogf] A097829 14.9755 [-(16-32*x+3*x^2)/(x-1)/(x^2-15*x+1) lgdogf] A097829 4.57673 [{a(n+3)-16*a(n+2)+16*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=240} ogf] A097829 5.05167 [(24983*f(x)-23)*(f(x)*x^3-16*f(x)*x^2+16*f(x)*x-f(x)+1) ogf] A097830 15.3803 [-(17-34*x+3*x^2)/(x-1)/(x^2-16*x+1) lgdogf] A097830 18.0441 [-1/(x-1)/(x^2-16*x+1) ogf] A097830 6.01471 [{a(n+3)-17*a(n+2)+17*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=272} ogf] A097830 6.76655 [(9255*f(x)-7)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x-f(x)+1) ogf] A097831 14.3113 [-1/(x-1)/(x^2-17*x+1) ogf] A097831 16.0826 [-3*(6-12*x+x^2)/(x-1)/(x^2-17*x+1) lgdogf] A097831 4.77044 [{a(n+3)-18*a(n+2)+18*a(n+1)-a(n),a(0)=1,a(1)=18,a(2)=306} ogf] A097831 5.2655 [(20668*f(x)-13)*(f(x)*x^3-18*f(x)*x^2+18*f(x)*x-f(x)+1) ogf] A097832 12.8677 [-1/(x-1)/(x^2-19*x+1) ogf] A097832 14.0214 [-(20-40*x+3*x^2)/(x-1)/(x^2-19*x+1) lgdogf] A097832 4.28922 [{a(n+3)-20*a(n+2)+20*a(n+1)-a(n),a(0)=1,a(1)=20,a(2)=380} ogf] A097832 4.73433 [(64629*f(x)-29)*(f(x)*x^3-20*f(x)*x^2+20*f(x)*x-f(x)+1) ogf] A097833 13.0809 [-1/(x-1)/(x^2-20*x+1) ogf] A097833 14.6784 [-3*(7-14*x+x^2)/(x-1)/(x^2-20*x+1) lgdogf] A097833 4.36032 [{a(n+3)-21*a(n+2)+21*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=420} ogf] A097833 4.76782 [(158821*f(x)-61)*(f(x)*x^3-21*f(x)*x^2+21*f(x)*x-f(x)+1) ogf] A097834 12.0547 [(x+1)/(x^2-27*x+1) ogf] A097834 12.6379 [-1/2*(-27*x-1+(725*x^2+58*x+1)^(1/2))/(x-1) revogf] A097834 16.4675 [-(-28+2*x+x^2)/(x+1)/(x^2+1-27*x) lgdogf] A097834 6.23054 [(377*f(x)+15)*(f(x)*x^2-27*f(x)*x+f(x)-x-1) ogf] A097834 6.60140 [{-a(n+2)+27*a(n+1)-a(n),a(0)=1,a(1)=28} ogf] A097835 11.9945 [-(x-1)/(x^2-27*x+1) ogf] A097835 12.5734 [-1/2*(-27*x-1+(725*x^2+50*x+1)^(1/2))/(1+x) revogf] A097835 16.8955 [-(26-2*x+x^2)/(x-1)/(x^2-27*x+1) lgdogf] A097835 5.99723 [-(175*f(x)-6)*(f(x)*x^2-27*f(x)*x+f(x)+x-1) ogf] A097835 6.56839 [{a(n+2)-27*a(n+1)+a(n),a(0)=1,a(1)=26} ogf] A097836 11.8330 [-1/2*(-1-51*x+(53*x+1)^(1/2)*(49*x+1)^(1/2))/x revogf] A097836 16.3279 [1/(x^2-51*x+1) ogf] A097836 23.6660 [-(-51+2*x)/(x^2+1-51*x) lgdogf] A097836 6.53118 [(2599*f(x)+2)*(f(x)*x^2-51*f(x)*x+f(x)-1) ogf] A097836 6.60893 [{-a(n+2)+51*a(n+1)-a(n),a(0)=1,a(1)=51} ogf] A097837 12.0685 [(x+1)/(x^2-51*x+1) ogf] A097837 12.0960 [-1/2*(-1-51*x+(1+106*x+2597*x^2)^(1/2))/(x-1) revogf] A097837 16.4945 [-(-52+2*x+x^2)/(x+1)/(x^2+1-51*x) lgdogf] A097837 6.16834 [(1325*f(x)+27)*(f(x)*x^2-51*f(x)*x+f(x)-x-1) ogf] A097837 6.60893 [{-a(n+2)+51*a(n+1)-a(n),a(0)=1,a(1)=52} ogf] A097838 12.0685 [-(x-1)/(x^2-51*x+1) ogf] A097838 12.3709 [-1/2*(-1-51*x+(1+98*x+2597*x^2)^(1/2))/(1+x) revogf] A097838 17.0099 [-(50-2*x+x^2)/(x-1)/(x^2+1-51*x) lgdogf] A097838 5.96936 [-(637*f(x)-12)*(f(x)*x^2-51*f(x)*x+f(x)+x-1) ogf] A097838 6.60893 [{a(n+2)-51*a(n+1)+a(n),a(0)=1,a(1)=50} ogf] A097839 13.1282 [-1/2*(-1-83*x+(81*x+1)^(1/2)*(85*x+1)^(1/2))/x revogf] A097839 18.0802 [1/(x^2-83*x+1) ogf] A097839 26.2563 [-(-83+2*x)/(x^2+1-83*x) lgdogf] A097839 7.23209 [(6887*f(x)+2)*(f(x)*x^2-83*f(x)*x+f(x)-1) ogf] A097839 7.31818 [{-a(n+2)+83*a(n+1)-a(n),a(0)=1,a(1)=83} ogf] A097840 13.1357 [-(-84+2*x+x^2)/(x+1)/(x^2+1-83*x) lgdogf] A097840 4.9304 [(3485*f(x)+43)*(f(x)*x^2-83*f(x)*x+f(x)-x-1) ogf] A097840 5.28257 [{-a(n+2)+83*a(n+1)-a(n),a(0)=1,a(1)=84} ogf] A097840 9.63281 [-1/2*(-1-83*x+(1+170*x+6885*x^2)^(1/2))/(x-1) revogf] A097840 9.64643 [(x+1)/(x^2-83*x+1) ogf] A097841 13.5461 [-(82-2*x+x^2)/(x-1)/(x^2+1-83*x) lgdogf] A097841 4.7206 [-(1701*f(x)-20)*(f(x)*x^2-83*f(x)*x+f(x)+x-1) ogf] A097841 5.28257 [{a(n+2)-83*a(n+1)+a(n),a(0)=1,a(1)=82} ogf] A097841 9.63281 [-1/2*(-1-83*x+(1+162*x+6885*x^2)^(1/2))/(1+x) revogf] A097841 9.64643 [-(x-1)/(x^2-83*x+1) ogf] A097842 11.0046 [-(-124+2*x+x^2)/(x+1)/(x^2-123*x+1) lgdogf] A097842 16.4586 [(x+1)/(x^2-123*x+1) ogf] A097842 8.19492 [-1/2*(-1-123*x+(1+250*x+15125*x^2)^(1/2))/(x-1) revogf] A097842 8.50057 [(7625*f(x)+63)*(f(x)*x^2-123*f(x)*x+f(x)-x-1) ogf] A097842 8.99480 [{-a(n+2)+123*a(n+1)-a(n),a(0)=1,a(1)=124} ogf] A097843 11.0046 [-(122-2*x+x^2)/(-1+x)/(x^2-123*x+1) lgdogf] A097843 14.1740 [-(x-1)/(x^2-123*x+1) ogf] A097843 7.01242 [-(3751*f(x)-30)*(f(x)*x^2-123*f(x)*x+f(x)+x-1) ogf] A097843 7.74628 [{a(n+2)-123*a(n+1)+a(n),a(0)=1,a(1)=122} ogf] A097843 8.19492 [-1/2*(-1-123*x+(1+242*x+15125*x^2)^(1/2))/(1+x) revogf] A097844 16.4004 [-(-171+2*x)/(x^2+1-171*x) lgdogf] A097844 17.1916 [1/(x^2-171*x+1) ogf] A097844 6.91615 [(29239*f(x)+2)*(f(x)*x^2-171*f(x)*x+f(x)-1) ogf] A097844 6.99658 [{-a(n+2)+171*a(n+1)-a(n),a(0)=1,a(1)=171} ogf] A097844 8.36755 [-1/2*(-171*x-1+(173*x+1)^(1/2)*(169*x+1)^(1/2))/x revogf] A097845 11.7146 [-(-172+2*x+x^2)/(x+1)/(x^2+1-171*x) lgdogf] A097845 4.56467 [(14705*f(x)+87)*(f(x)*x^2-171*f(x)*x+f(x)-x-1) ogf] A097845 4.88314 [{-a(n+2)+171*a(n+1)-a(n),a(0)=1,a(1)=172} ogf] A097845 8.72362 [-1/2*(-1-171*x+(1+346*x+29237*x^2)^(1/2))/(x-1) revogf] A097845 8.93511 [(x+1)/(x^2-171*x+1) ogf] A097852 4.59058 [(x^8+x^7-x^5-x^4-x^3+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A097861 4.52135 [3*f(x)^2*x^4-4*f(x)^2*x^3-2*f(x)^2*x^2-3*f(x)*x^3+4*f(x)^2*x+f(x)*x^2-f(x)^2+3*f(x)*x+x^2-f(x) ogf] A097864 5.09009 [x*(x^25+x^23-x^19-x^17-x^16-2*x^13-x^12-x^11-x^9+x^8+4*x^7+2*x^6+x^5+2*x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A097869 17.4207 [-x^9-x^7+x^4+3*x^3+x+1 ogf_with_Euler_transform] A097869 5.71754 [(x^4-x^3+x^2-x+1)*(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^4 ogf] A097869 7.19380 [-(1+2*x-10*x^6+14*x^5-10*x^4+16*x^3-3*x^8+4*x^9-x^10+2*x^11+18*x^7-x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1) lgdogf] A097870 6.18827 [(x+1)*(x^2-x+1)*(x^4+x^3+x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A097870 7.77858 [-(2+4*x+4*x^8+15*x^6+20*x^5+17*x^4+10*x^3+16*x^2+x^9+7*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+1) lgdogf] A097893 18.5149 [-2*(-1+3*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A097893 6.4918 [-3*f(x)^2*x^4+4*f(x)^2*x^3+2*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A097895 10.0753 [x^2*(3*x-2)/(2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A097895 10.5308 [-(-3-4*x-22*x^4-64*x^3+48*x^5+51*x^2)/(2*x-1)/(3*x-2)/(2*x^2-1)/(x^2+x-1) lgdogf] A097896 10.1044 [-(2+2*x^6+12*x^5+3*x^4-10*x^3-3*x^2)/(2*x^2-1)/(x^2+x-1)/(x^3+3*x^2-x-1) lgdogf] A097896 5.3773 [(2*f(x)+45)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x+3*x^2+f(x)-x-1) ogf] A097896 9.63725 [-(x^3+3*x^2-x-1)/(2*x^2-1)/(x^2+x-1) ogf] A097900 17.8808 [-6*(x-2)/(x-1)/(x^3-3*x^2+6*x-6) lgdegf] A097900 4.63625 [(520*f(x)-1033)*(6*f(x)*x^3-18*f(x)*x^2-x^3+18*f(x)*x+3*x^2-6*f(x)-6*x+6) egf] A097900 8.22770 [1/6*(x^3-3*x^2+6*x-6)/(x-1)^3 egf] A097913 5.44589 [(x^12-x^6+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x^4+1)^2/(x+1)^3/(x-1)^4 ogf] A097920 10.2781 [-(x^2+1)*(x^8-x^6+x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A097920 20.0375 [-x^19+x^9+x^4+x^2+1 ogf_with_Euler_transform] A097921 11.7918 [(-1-2*x+x^8-x^6-6*x^5-2*x^3-2*x^7-5*x^2)/(x-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A097921 18.0648 [-x^7-x^5+x^3+2*x^2+x+1 ogf_with_Euler_transform] A097921 8.80103 [-(x^2-x+1)*(x^4+1)/(x^2+x+1)/(x-1)^3 ogf] A097922 10.1464 [(-1-4*x+x^8-2*x^6-4*x^5-x^4-4*x^3-2*x^7-x^2)/(x-1)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1) lgdogf] A097922 18.0648 [-x^9+x^4-x^3+x^2+2*x+1 ogf_with_Euler_transform] A097922 8.15508 [-(x^2+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A097923 10.2675 [-(x^4+1)*(x^16-x^12+x^8-x^4+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A097924 16.8097 [(x-2)/(x^2+4*x-1) ogf] A097924 21.8694 [(-1-2*x+(1+3*x+5*x^2)^(1/2))/(x-1) revogf] A097924 23.2363 [-(-7-4*x+x^2)/(-2+x)/(x^2+4*x-1) lgdogf] A097924 8.31248 [-(32*f(x)-15)*(f(x)*x^2+4*f(x)*x-f(x)-x+2) ogf] A097924 9.22484 [{-a(n+2)+4*a(n+1)+a(n),a(0)=2,a(1)=7} ogf] A097926 4.83572 [(1601*f(x)-8118)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+10*x^3+f(x)*x+16*x^2-f(x)+18*x+18) ogf] A097926 8.50300 [-(18+34*x+5*x^6+16*x^5+30*x^4+44*x^3+43*x^2)/(x^4+x^3+x^2+x-1)/(5*x^3+8*x^2+9*x+9) lgdogf] A097926 8.77594 [-2*(5*x^3+8*x^2+9*x+9)/(x^4+x^3+x^2+x-1) ogf] A097927 8.64041 [-(2*x^9+4*x^8+8*x^7+16*x^6+32*x^5+29*x^4+35*x^3+23*x^2+46*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A097944 19.0721 [(-1+3*x^4-4*x^3+24*x^25-25*x^24)/(x-1)/(x^25+x^4+1) lgdogf] A097944 19.8259 [-(x^25+x^4+1)/(x-1) ogf] A097947 10.7783 [-(-1+4*x+4*x^5+32*x^2+64*x^3+29*x^4)/(x-1)/(x+1)/(2*x^2+7*x+2)/(x^2+4*x+1) lgdogf] A097947 12.5350 [(2*x^2+7*x+2)/(x-1)/(x+1)/(x^2+4*x+1) ogf] A097947 6.37195 [(228773*f(x)-22473)*(f(x)*x^4+4*f(x)*x^3-4*f(x)*x-2*x^2-f(x)-7*x-2) ogf] A097948 10.2522 [-(4+6*x+x^6+6*x^5+3*x^2+4*x^3+12*x^4)/(x-1)/(x+1)/(x^2+4*x+1)/(x^3+3*x^2-1) lgdogf] A097948 11.3783 [-(x^3+3*x^2-1)/(x-1)/(x+1)/(x^2+4*x+1) ogf] A097948 6.01291 [-(838*f(x)-167)*(f(x)*x^4+4*f(x)*x^3+x^3-4*f(x)*x+3*x^2-f(x)-1) ogf] A097949 11.9157 [-(1-21*x^2-56*x^3-21*x^4+x^6)/(x-1)/(x+1)/(x^2+4*x+1)/(x^3-7*x-2) lgdogf] A097949 12.1568 [-(x^3-7*x-2)/(x-1)/(x+1)/(x^2+4*x+1) ogf] A097949 6.23162 [-(551*f(x)-107)*(f(x)*x^4+4*f(x)*x^3+x^3-4*f(x)*x-f(x)-7*x-2) ogf] A097950 11.1070 [(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A097950 11.4417 [(-1+x+6*x^8+7*x^6+3*x^5-7*x^4+5*x^3-13*x^7-3*x^2)/(x-1)/(x^8-x^7+x^5-x^4+x^3-x+1) lgdogf] A097950 24.7688 [-x^14+x^4+x^2+1 ogf_with_Euler_transform] A097971 11.0498 [2*(x+1)/(x-1)^4 egf] A097971 3.96494 [{(-n^2-6*n-8)*a(n+1)+(2*n^2+19*n+40)*a(n+2)+(-2*n-6)*a(n+3),a(0)=2,a(1)=10,a(2)=56} ogf] A097971 33.1028 [-(3*x+5)/(x-1)/(x+1) lgdegf] A097971 5.3074 [(2624*f(x)+7423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-2*x-2) egf] A097992 16.9927 [-(1+x+x^2+x^3+x^4+7*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A097992 23.6475 [1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A097992 38.6842 [[x^5+1] ogf_with_Euler_transform] A097999 23.5600 [-3*(x-3)/(x^2-6*x+1) lgdegf] A097999 3.32437 [{(n^2+6*n+8)*a(n+1)+(-6*n-21)*a(n+2)+a(n+3),a(0)=1,a(1)=9,a(2)=132} ogf] A097999 7.03285 [-(-3-18*x-24*x^2+((2*x+1)*(1+4*x)*(3+8*x)^2)^(1/2))/(2*x+1)/(1+4*x) revegf] A098011 16.4564 [(x^3+x-1)/(2*x-1) ogf] A098011 22.0130 [(1+4*x^3-3*x^2)/(2*x-1)/(x^3+x-1) lgdogf] A098011 7.71392 [{a(n+4)-2*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=3} ogf] A098011 9.87381 [(f(x)+1)*(-x^3+2*f(x)*x-f(x)-x+1) ogf] A098022 7.12964 [(2*x^9+5*x^8+5*x^7+7*x^6+5*x^5+7*x^4+5*x^3+7*x^2+5*x+5)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A098051 4.1761 [-(4*f(x)-1)*(f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A098054 8.09324 [x*(2*x^10-3*x^6-2*x^5-2*x^4+x^3+x^2+x+1)/(x^4+x^2-1)/(x^4-x^2-1) ogf] A098067 6.43017 [(100*x^22-219*x^21+138*x^20-19*x^19+100*x^12-210*x^11+120*x^10-10*x^9+10*x^2-21*x+12)/(x-1)^2 ogf] A098077 19.8907 [-2*(5+12*x+3*x^2)/(x-1)/(2*x^2+5*x+1) lgdogf] A098077 3.73223 [{(n+4)*a(n+4)+(2+4*n)*a(n+3)+(-30-3*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=2,a(1)=20,a(2)=84,a(3)=240} ogf] A098077 9.37724 [-2*(2*x^2+5*x+1)/(x-1)^5 ogf] A098098 9.62541 [-(4*x^4+2*x^3+2*x^2+2*x+2)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A098106 10.2737 [-(12*x^3-6*x^2+x-1)/(4*x^2-2*x+1)^2 ogf] A098106 14.0424 [-3*(1-2*x-8*x^2-8*x^3+16*x^4)/(12*x^3-6*x^2+x-1)/(4*x^2-2*x+1) lgdogf] A098106 5.81936 [(72*f(x)+11)*(16*f(x)*x^4-16*f(x)*x^3+12*f(x)*x^2+12*x^3-4*f(x)*x-6*x^2+f(x)+x-1) ogf] A098108 18.0971 [x^7/(x^8+1) ogf_with_Euler_transform] A098111 11.274 [5*f(x)*x^2-5*f(x)*x+f(x)+5*x-1 ogf] A098111 15.7837 [-(5*x-1)/(5*x^2-5*x+1) ogf] A098111 18.9923 [-1/10*(-1-5*x+(1-10*x+5*x^2)^(1/2))/(1+x) revogf] A098111 22.2482 [-5*x*(-2+5*x)/(5*x-1)/(5*x^2-5*x+1) lgdogf] A098111 8.76872 [{-a(n+2)+5*a(n+1)-5*a(n),a(0)=1,a(1)=0} ogf] A098118 3.24895 [{(16*n^3+128*n^2+340*n+300)*a(n+1)+(-8*n^2-52*n-86)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=7,a(2)=74} ogf] A098123 15.2689 [-2*x^2*(x^2+3)/(x-1)/(x+1)/(x^4-4*x^3-2*x^2+1) lgdogf] A098123 7.27787 [f(x)^2*x^4-4*f(x)^2*x^3-2*f(x)^2*x^2-x^4+f(x)^2+2*x^2-1 ogf] A098127 16.9266 [-(19*x+7)/(x^2+x-1) ogf] A098127 19.6000 [1/2/(19+x)*(-7-x+(49+90*x+5*x^2)^(1/2)) revogf] A098127 21.2333 [-(26+14*x+19*x^2)/(19*x+7)/(x^2+x-1) lgdogf] A098127 8.84797 [(10*f(x)+99)*(f(x)*x^2+f(x)*x-f(x)+19*x+7) ogf] A098127 9.38099 [{a(n+2)-a(n+1)-a(n),a(0)=7,a(1)=26} ogf] A098140 12.0157 [-x*(60*x+1)/(x-1)^3 ogf] A098140 24.9519 [-3*(21+40*x)/(60*x+1)/(x-1) lgdogf] A098140 5.57526 [-(3032615*f(x)-61333779)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+60*x^2-f(x)+x) ogf] A098140 6.22239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=63} ogf] A098149 14.6617 [-(4*x+1)/(x^2+3*x+1) ogf] A098149 17.8572 [1/2/(4+x)*(-1-3*x+(1-10*x+5*x^2)^(1/2)) revogf] A098149 19.8980 [-(-1+2*x+4*x^2)/(4*x+1)/(x^2+3*x+1) lgdogf] A098149 7.25029 [-(15*f(x)+14)*(f(x)*x^2+3*f(x)*x+f(x)+4*x+1) ogf] A098149 8.04605 [{a(n+2)+3*a(n+1)+a(n),a(0)=-1,a(1)=-1} ogf] A098150 10.4204 [(27*f(x)-40)*(f(x)*x^2+3*f(x)*x+f(x)-2*x+3) ogf] A098150 10.9226 [{a(n+2)+3*a(n+1)+a(n),a(0)=-3,a(1)=11} ogf] A098150 16.6163 [1/2/(-2+x)*(-3-3*x+(9+26*x+5*x^2)^(1/2)) revogf] A098150 18.4626 [-(-11-6*x+2*x^2)/(2*x-3)/(x^2+3*x+1) lgdogf] A098150 20.1461 [(2*x-3)/(x^2+3*x+1) ogf] A098151 13.9890 [-(-2*x^4-x^3-x-2)/(-x^6+1) ogf_with_Euler_transform] A098153 6.19125 [-(100890*x^7-890*x^6+900890*x^5+90010*x^4+10000*x^3+90*x^2+10*x+1)/(x-1) ogf] A098154 5.93251 [(999990*x^7-1001000*x^6-1000000*x^5-9000*x^4-1091*x^3-10*x^2-10*x-1)/(x-1) ogf] A098155 4.02360 [(99999000*x^11-100100000*x^10-99901000*x^9-897990*x^8+99990*x^7-101000*x^6-208101*x^5-2000*x^4-1091*x^3-10*x^2-10*x-1)/(x-1) ogf] A098156 11.0400 [(x^3+x^2-2*x+1)/(2*x-1)^2 ogf] A098156 14.6630 [(-2+2*x-3*x^2+2*x^3)/(-1+2*x)/(x^3+x^2-2*x+1) lgdogf] A098156 5.85598 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=13} ogf] A098156 6.60232 [(3*f(x)-20)*(4*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A098177 10.6508 [(x+1)*(x^12-2*x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+x^4+x^2-x+1)/(x-1)^2 ogf] A098177 6.82880 [(-2+12*x^11-3*x^2-3*x^3-23*x^12+11*x^13+7*x^4-3*x^5)/(x-1)/(x+1)/(x^12-2*x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+x^4+x^2-x+1) lgdogf] A098178 15.2683 [-(x+1)*(x^2-x+1)/(x^2+1)/(x-1) ogf] A098178 18.0125 [-(1-2*x+x^4-2*x^3+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A098178 21.1830 [-x^5+x^3+x^2-x+1 ogf_with_Euler_transform] A098178 6.64344 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A098178 7.84046 [-(2*f(x)+5)*(f(x)*x^3-f(x)*x^2+x^3+f(x)*x-f(x)+1) ogf] A098179 5.14764 [-(27*f(x)+4)*(4*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A098179 8.57771 [-(-2+14*x+24*x^5-66*x^4+76*x^3-45*x^2)/(x-1)/(2*x-1)/(3*x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A098179 9.86027 [(3*x^2-3*x+1)/(x-1)/(2*x-1)/(2*x^2-2*x+1) ogf] A098180 13.8169 [(x+1)*(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A098180 15.7320 [-(2-2*x+x^5-x^3+x^4+7*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A098180 21.8332 [-x^5+x^3+x^2-x+2 ogf_with_Euler_transform] A098180 4.58215 [{(2*n+7)*a(n+1)+(-2*n-5)*a(n+2)+(2*n+7)*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=2,a(3)=3} ogf] A098180 6.85572 [-(48*f(x)+85)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)-1) ogf] A098181 14.7230 [(x+1)/(x^2+1)/(x-1)^2 ogf] A098181 23.1841 [-(3-x+3*x^2+3*x^3)/(x^2+1)/(x-1)/(x+1) lgdogf] A098181 30.8677 [[x^3-2*x+3] ogf_with_Euler_transform] A098181 4.58215 [{(2*n+9)*a(n+1)+(-2*n-7)*a(n+2)+(2*n+9)*a(n+3)+(-2*n-7)*a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=4} ogf] A098181 7.01641 [-(64*f(x)+319)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A098182 10.2657 [-(x-1)^2/(x^3-x^2+3*x-1) ogf] A098182 15.7186 [-(-1-x-3*x^2+x^3)/(x-1)/(x^3-x^2+3*x-1) lgdogf] A098182 5.59116 [{-a(n+3)+3*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A098182 5.64152 [(f(x)-1)*(f(x)*x^3-f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A098183 11.9259 [-(x-1)^2/(x^3+3*x-1) ogf] A098183 16.7308 [-(-1-3*x-3*x^2+x^3)/(x-1)/(x^3+3*x-1) lgdogf] A098183 6.72416 [{a(n+3)-3*a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A098183 8.58117 [(7*f(x)-6)*(f(x)*x^3+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A098184 10.0788 [-(x-1)^2/(x^3+x^2+3*x-1) ogf] A098184 15.0483 [-(x+1)*(x^2-4*x-1)/(x-1)/(x^3+x^2+3*x-1) lgdogf] A098184 5.30005 [-(9*f(x)-13)*(f(x)*x^3+f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A098184 5.48934 [{a(n+3)-3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A098207 2.8962 [(21533460861*f(x)-111604945400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+4000*x^2-f(x)+850*x+1) ogf] A098207 3.30669 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=1,a(1)=961,a(2)=109561} ogf] A098207 5.67500 [-(4000*x^2+850*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A098209 3.52937 [-(187*f(x)+96)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-840*x^2-f(x)+48*x) ogf] A098209 3.58676 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=0,a(1)=48,a(2)=4488} ogf] A098209 6.37466 [-(-187+4440*x+70000*x^3-44850*x^2)/(x-1)/(35*x-2)/(100*x-1)/(10*x-1) lgdogf] A098209 6.48781 [24*x*(35*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A098210 3.55783 [-(77*f(x)+15)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-510*x^2-f(x)+15*x) ogf] A098210 3.58676 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=15,a(2)=1155} ogf] A098210 6.46980 [-(-77+2220*x+68000*x^3-40740*x^2)/(x-1)/(10*x-1)/(34*x-1)/(100*x-1) lgdogf] A098210 6.48781 [15*x*(34*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A098212 11.9192 [-(25+48*x-10*x^2+x^4)/(x+1)/(1-6*x+x^2)/(x^2-5) lgdogf] A098212 12.2557 [-(x^2-5)/(x+1)/(x^2-6*x+1) ogf] A098212 6.0222 [-(4055*f(x)-451)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+x^2+f(x)-5) ogf] A098212 6.07457 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=5,a(1)=25,a(2)=149} ogf] A098224 6.42521 [-(145227*x^8+90510*x^7+33950*x^6+10239*x^5+2529*x^4+510*x^3+97*x^2+20*x+4)/(x-1) ogf] A098230 18.9134 [-x*(72*x+1)/(x-1)^3 ogf] A098230 40.1920 [-3*(25+48*x)/(72*x+1)/(x-1) lgdogf] A098230 8.70619 [-(6197627*f(x)-150133161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+72*x^2-f(x)+x) ogf] A098230 9.79446 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=75} ogf] A098232 5.18214 [-(2048*x^7+512*x^6+2*x+1)*(64*x^4+8*x^2+1)/(524288*x^12-1) ogf] A098244 12.0591 [-(170-2*x+x^2)/(x-1)/(x^2+1-171*x) lgdogf] A098244 4.88314 [{a(n+2)-171*a(n+1)+a(n),a(0)=1,a(1)=170} ogf] A098244 6.33374 [-(7267*f(x)-42)*(f(x)*x^2-171*f(x)*x+f(x)+x-1) ogf] A098244 8.72362 [-1/2*(-1-171*x+(1+338*x+29237*x^2)^(1/2))/(1+x) revogf] A098244 8.93511 [-(x-1)/(x^2-171*x+1) ogf] A098245 12.5665 [1/(x^2-227*x+1) ogf] A098245 17.1956 [-(-227+2*x)/(x^2+1-227*x) lgdogf] A098245 5.0555 [(51527*f(x)+2)*(f(x)*x^2-227*f(x)*x+f(x)-1) ogf] A098245 5.11429 [{-a(n+2)+227*a(n+1)-a(n),a(0)=1,a(1)=227} ogf] A098245 8.77325 [-1/2*(-227*x-1+(225*x+1)^(1/2)*(229*x+1)^(1/2))/x revogf] A098246 12.2826 [-(-228+2*x+x^2)/(x+1)/(x^2+1-227*x) lgdogf] A098246 4.72934 [(25877*f(x)+115)*(f(x)*x^2-227*f(x)*x+f(x)-x-1) ogf] A098246 5.11429 [{-a(n+2)+227*a(n+1)-a(n),a(0)=1,a(1)=228} ogf] A098246 9.14658 [-1/2*(-1-227*x+(1+458*x+51525*x^2)^(1/2))/(x-1) revogf] A098246 9.35806 [(x+1)/(x^2-227*x+1) ogf] A098247 12.6438 [-(226-2*x+x^2)/(x-1)/(x^2+1-227*x) lgdogf] A098247 4.58155 [-(12825*f(x)-56)*(f(x)*x^2-227*f(x)*x+f(x)+x-1) ogf] A098247 5.11429 [{a(n+2)-227*a(n+1)+a(n),a(0)=1,a(1)=226} ogf] A098247 9.14658 [-1/2*(-1-227*x+(1+450*x+51525*x^2)^(1/2))/(1+x) revogf] A098247 9.35806 [-(x-1)/(x^2-227*x+1) ogf] A098248 13.0635 [1/(x^2-291*x+1) ogf] A098248 17.8914 [-(-291+2*x)/(x^2+1-291*x) lgdogf] A098248 5.25543 [(84679*f(x)+2)*(f(x)*x^2-291*f(x)*x+f(x)-1) ogf] A098248 5.31655 [{-a(n+2)+291*a(n+1)-a(n),a(0)=1,a(1)=291} ogf] A098248 9.12824 [-1/2*(-291*x-1+(289*x+1)^(1/2)*(293*x+1)^(1/2))/x revogf] A098249 12.7795 [-(-292+2*x+x^2)/(1+x)/(x^2+1-291*x) lgdogf] A098249 4.91637 [(42485*f(x)+147)*(f(x)*x^2-291*f(x)*x+f(x)-x-1) ogf] A098249 5.31655 [{-a(n+2)+291*a(n+1)-a(n),a(0)=1,a(1)=292} ogf] A098249 9.51668 [-1/2*(-1-291*x+(1+586*x+84677*x^2)^(1/2))/(x-1) revogf] A098249 9.72815 [(x+1)/(x^2-291*x+1) ogf] A098250 13.1554 [-(290-2*x+x^2)/(x-1)/(x^2+1-291*x) lgdogf] A098250 5.31655 [{a(n+2)-291*a(n+1)+a(n),a(0)=1,a(1)=290} ogf] A098250 6.84505 [-(21097*f(x)-72)*(f(x)*x^2-291*f(x)*x+f(x)+x-1) ogf] A098250 9.51668 [-1/2*(-1-291*x+(1+578*x+84677*x^2)^(1/2))/(1+x) revogf] A098250 9.72815 [-(x-1)/(x^2-291*x+1) ogf] A098251 13.5605 [1/(x^2-363*x+1) ogf] A098251 18.5871 [-(-363+2*x)/(x^2+1-363*x) lgdogf] A098251 5.39338 [(131767*f(x)+2)*(f(x)*x^2-363*f(x)*x+f(x)-1) ogf] A098251 5.51881 [{-a(n+2)+363*a(n+1)-a(n),a(0)=1,a(1)=363} ogf] A098251 9.48323 [-1/2*(-363*x-1+(365*x+1)^(1/2)*(361*x+1)^(1/2))/x revogf] A098252 10.0983 [(x+1)/(x^2-363*x+1) ogf] A098252 13.2765 [-(-364+2*x+x^2)/(x+1)/(x^2+1-363*x) lgdogf] A098252 5.10341 [(66065*f(x)+183)*(f(x)*x^2-363*f(x)*x+f(x)-x-1) ogf] A098252 5.51881 [{-a(n+2)+363*a(n+1)-a(n),a(0)=1,a(1)=364} ogf] A098252 9.68080 [-1/2*(-1-363*x+(1+730*x+131765*x^2)^(1/2))/(x-1) revogf] A098253 10.0983 [-(x-1)/(x^2-363*x+1) ogf] A098253 13.6670 [-(362-2*x+x^2)/(x-1)/(x^2+1-363*x) lgdogf] A098253 5.51881 [{a(n+2)-363*a(n+1)+a(n),a(0)=1,a(1)=362} ogf] A098253 7.09247 [-(32851*f(x)-90)*(f(x)*x^2-363*f(x)*x+f(x)+x-1) ogf] A098253 9.68080 [-1/2*(-1-363*x+(1+722*x+131765*x^2)^(1/2))/(1+x) revogf] A098254 13.9155 [1/(x^2-443*x+1) ogf] A098254 19.0841 [-(-443+2*x)/(x^2+1-443*x) lgdogf] A098254 5.53456 [(196247*f(x)+2)*(f(x)*x^2-443*f(x)*x+f(x)-1) ogf] A098254 5.66328 [{-a(n+2)+443*a(n+1)-a(n),a(0)=1,a(1)=443} ogf] A098254 9.73679 [-1/2*(-443*x-1+(445*x+1)^(1/2)*(441*x+1)^(1/2))/x revogf] A098255 10.3626 [(x+1)/(x^2-443*x+1) ogf] A098255 13.6315 [-(-444+2*x+x^2)/(x+1)/(x^2+1-443*x) lgdogf] A098255 5.23701 [(98345*f(x)+223)*(f(x)*x^2-443*f(x)*x+f(x)-x-1) ogf] A098255 5.66328 [{-a(n+2)+443*a(n+1)-a(n),a(0)=1,a(1)=444} ogf] A098255 9.93964 [-1/2*(-1-443*x+(1+890*x+196245*x^2)^(1/2))/(x-1) revogf] A098256 10.3626 [-(x-1)/(x^2-443*x+1) ogf] A098256 14.0324 [-(442-2*x+x^2)/(x-1)/(x^2+1-443*x) lgdogf] A098256 5.66328 [{a(n+2)-443*a(n+1)+a(n),a(0)=1,a(1)=442} ogf] A098256 7.2098 [-(48951*f(x)-110)*(f(x)*x^2-443*f(x)*x+f(x)+x-1) ogf] A098256 9.93964 [-1/2*(-1-443*x+(1+882*x+196245*x^2)^(1/2))/(1+x) revogf] A098257 14.2705 [1/(x^2-531*x+1) ogf] A098257 19.5811 [-(-531+2*x)/(x^2+1-531*x) lgdogf] A098257 5.67575 [(281959*f(x)+2)*(f(x)*x^2-531*f(x)*x+f(x)-1) ogf] A098257 5.80776 [{-a(n+2)+531*a(n+1)-a(n),a(0)=1,a(1)=531} ogf] A098257 9.99035 [-1/2*(-531*x-1+(529*x+1)^(1/2)*(533*x+1)^(1/2))/x revogf] A098258 10.6270 [(x+1)/(x^2-531*x+1) ogf] A098258 13.9865 [-(-532+2*x+x^2)/(x+1)/(x^2+1-531*x) lgdogf] A098258 5.31347 [(141245*f(x)+267)*(f(x)*x^2-531*f(x)*x+f(x)-x-1) ogf] A098258 5.80776 [{-a(n+2)+531*a(n+1)-a(n),a(0)=1,a(1)=532} ogf] A098258 9.99035 [-1/2*(-1-531*x+(1+1066*x+281957*x^2)^(1/2))/(x-1) revogf] A098259 10.6270 [-(x-1)/(x^2-531*x+1) ogf] A098259 14.3979 [-(530-2*x+x^2)/(x-1)/(x^2+1-531*x) lgdogf] A098259 5.14914 [-(70357*f(x)-132)*(f(x)*x^2-531*f(x)*x+f(x)+x-1) ogf] A098259 5.80776 [{a(n+2)-531*a(n+1)+a(n),a(0)=1,a(1)=530} ogf] A098259 9.99035 [-1/2*(-1-531*x+(1+1058*x+281957*x^2)^(1/2))/(1+x) revogf] A098260 11.8525 [1/(x^2-627*x+1) ogf] A098260 16.2098 [-(-627+2*x)/(x^2+1-627*x) lgdogf] A098260 4.71404 [(393127*f(x)+2)*(f(x)*x^2-627*f(x)*x+f(x)-1) ogf] A098260 4.82369 [{-a(n+2)+627*a(n+1)-a(n),a(0)=1,a(1)=627} ogf] A098260 8.27031 [-1/2*(-1-627*x+(625*x+1)^(1/2)*(629*x+1)^(1/2))/x revogf] A098261 11.5784 [-(-628+2*x+x^2)/(x+1)/(x^2+1-627*x) lgdogf] A098261 4.41315 [(196877*f(x)+315)*(f(x)*x^2-627*f(x)*x+f(x)-x-1) ogf] A098261 4.82369 [{-a(n+2)+627*a(n+1)-a(n),a(0)=1,a(1)=628} ogf] A098261 8.27031 [-1/2*(-1-627*x+(1+1258*x+393125*x^2)^(1/2))/(x-1) revogf] A098261 8.82632 [(x+1)/(x^2-627*x+1) ogf] A098262 11.9190 [-(626-2*x+x^2)/(x-1)/(x^2+1-627*x) lgdogf] A098262 4.27666 [-(98125*f(x)-156)*(f(x)*x^2-627*f(x)*x+f(x)+x-1) ogf] A098262 4.82369 [{a(n+2)-627*a(n+1)+a(n),a(0)=1,a(1)=626} ogf] A098262 8.27031 [-1/2*(-1-627*x+(1+1250*x+393125*x^2)^(1/2))/(1+x) revogf] A098262 8.82632 [-(x-1)/(x^2-627*x+1) ogf] A098263 12.1265 [1/(x^2-731*x+1) ogf] A098263 16.5935 [-(-731+2*x)/(x^2+1-731*x) lgdogf] A098263 4.82304 [(534359*f(x)+2)*(f(x)*x^2-731*f(x)*x+f(x)-1) ogf] A098263 4.93521 [{-a(n+2)+731*a(n+1)-a(n),a(0)=1,a(1)=731} ogf] A098263 8.46606 [-1/2*(-1-731*x+(733*x+1)^(1/2)*(729*x+1)^(1/2))/x revogf] A098264 12.1714 [19*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098264 31.9206 [-(1+19*x)/(19*x^2-1+2*x) lgdogf] A098264 5.09130 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-38-19*n)*a(n+1),a(0)=1,a(1)=1,a(2)=11} ogf] A098265 12.6743 [23*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098265 33.2618 [-(1+23*x)/(23*x^2-1+2*x) lgdogf] A098265 5.30169 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-46-23*n)*a(n+1),a(0)=1,a(1)=1,a(2)=13} ogf] A098269 20.8949 [-4*(-2+x)/(4*x^2+1-16*x) lgdogf] A098269 3.35171 [{(-n-3)*a(n+3)+(40+16*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=1,a(1)=8,a(2)=94} ogf] A098269 8.01268 [4*f(x)^2*x^2-16*f(x)^2*x+f(x)^2-1 ogf] A098270 20.8132 [-2*(-5+2*x)/(4*x^2+1-20*x) lgdogf] A098270 3.56436 [{(-n-3)*a(n+3)+(50+20*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=1,a(1)=10,a(2)=148} ogf] A098270 8.63245 [4*f(x)^2*x^2-20*f(x)^2*x+f(x)^2-1 ogf] A098272 13.6132 [-2+f(x)-x*f(x)^3 ogf] A098272 23.7743 [1/4*(1+(1-8*x)^(1/2))*x revogf] A098272 4.42970 [{(-54*n^2-162*n-120)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=2,a(1)=8} ogf] A098272 9.62314 [2*hypergeom([1/3,2/3],[3/2],27*x) ogf] A098290 8.52963 [-x*(158*x^6+392*x^5+380*x^4+208*x^3+10*x^2+x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A098291 11.8525 [-(-732+2*x+x^2)/(x+1)/(x^2+1-731*x) lgdogf] A098291 4.51519 [(267545*f(x)+367)*(f(x)*x^2-731*f(x)*x+f(x)-x-1) ogf] A098291 4.93521 [{-a(n+2)+731*a(n+1)-a(n),a(0)=1,a(1)=732} ogf] A098291 8.46606 [-1/2*(-1-731*x+(1+1466*x+534357*x^2)^(1/2))/(x-1) revogf] A098291 9.03038 [(x+1)/(x^2-731*x+1) ogf] A098292 12.2011 [-(730-2*x+x^2)/(x-1)/(x^2+1-731*x) lgdogf] A098292 4.33089 [-(133407*f(x)-182)*(f(x)*x^2-731*f(x)*x+f(x)+x-1) ogf] A098292 4.93521 [{a(n+2)-731*a(n+1)+a(n),a(0)=1,a(1)=730} ogf] A098292 8.46606 [-1/2*(-1-731*x+(1+1458*x+534357*x^2)^(1/2))/(1+x) revogf] A098292 9.03038 [-(x-1)/(x^2-731*x+1) ogf] A098293 11.3289 [-(2*x+1)*(x^2+x-1)/(3*x^2-1)/(2*x^2-1) ogf] A098293 9.32121 [-6*f(x)*x^4+5*f(x)*x^2-2*x^3-3*x^2-f(x)+x+1 ogf] A098293 9.37300 [-(1+4*x-8*x^4-24*x^3-x^2+36*x^5+12*x^6)/(2*x+1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) lgdogf] A098296 10.0027 [-x*(x+1)/(x-1)/(x^2-9*x+1) ogf] A098296 12.6342 [-(11-20*x-7*x^2+2*x^3)/(x-1)/(x+1)/(x^2-9*x+1) lgdogf] A098296 5.17683 [{a(n+3)-10*a(n+2)+10*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A098296 5.36508 [(11*f(x)+1)*(f(x)*x^3-10*f(x)*x^2+10*f(x)*x+x^2-f(x)+x) ogf] A098297 12.1618 [-2*(6-11*x-4*x^2+x^3)/(x-1)/(x+1)/(x^2-10*x+1) lgdogf] A098297 4.98489 [{a(n+3)-11*a(n+2)+11*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A098297 5.16615 [(12*f(x)+1)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+x^2-f(x)+x) ogf] A098297 9.63181 [-x*(x+1)/(x-1)/(x^2-10*x+1) ogf] A098298 11.9031 [-(13-24*x-9*x^2+2*x^3)/(x-1)/(x+1)/(x^2-11*x+1) lgdogf] A098298 12.0749 [-x*(x+1)/(x-1)/(x^2-11*x+1) ogf] A098298 6.24928 [{a(n+3)-12*a(n+2)+12*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=13} ogf] A098298 6.47653 [(13*f(x)+1)*(f(x)*x^3-12*f(x)*x^2+12*f(x)*x+x^2-f(x)+x) ogf] A098299 10.9960 [-2*(7-13*x+x^3-5*x^2)/(x-1)/(x+1)/(x^2-12*x+1) lgdogf] A098299 4.51304 [{a(n+3)-13*a(n+2)+13*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=14} ogf] A098299 4.67715 [(14*f(x)+1)*(f(x)*x^3-13*f(x)*x^2+13*f(x)*x+x^2-f(x)+x) ogf] A098299 8.72010 [-x*(x+1)/(x-1)/(x^2-12*x+1) ogf] A098300 10.7787 [-(15-28*x+2*x^3-11*x^2)/(x-1)/(x+1)/(x^2-13*x+1) lgdogf] A098300 4.61445 [{a(n+3)-14*a(n+2)+14*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=15} ogf] A098300 4.78225 [(15*f(x)+1)*(f(x)*x^3-14*f(x)*x^2+14*f(x)*x+x^2-f(x)+x) ogf] A098300 8.91605 [-x*(x+1)/(x-1)/(x^2-13*x+1) ogf] A098301 11.6783 [-x*(x+1)/(x-1)/(x^2-14*x+1) ogf] A098301 6.04402 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A098301 6.2638 [(16*f(x)+1)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)+x) ogf] A098302 11.2604 [-(17-32*x-13*x^2+2*x^3)/(x-1)/(x+1)/(x^2-15*x+1) lgdogf] A098302 4.81728 [{a(n+3)-16*a(n+2)+16*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=17} ogf] A098302 4.99246 [(17*f(x)+1)*(f(x)*x^3-16*f(x)*x^2+16*f(x)*x+x^2-f(x)+x) ogf] A098302 9.30797 [-x*(x+1)/(x-1)/(x^2-15*x+1) ogf] A098303 10.5322 [-2*(9-17*x+x^3-7*x^2)/(x-1)/(x+1)/(x^2-16*x+1) lgdogf] A098303 4.32438 [{a(n+3)-17*a(n+2)+17*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=18} ogf] A098303 4.48163 [(18*f(x)+1)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+x^2-f(x)+x) ogf] A098303 8.35558 [-x*(x+1)/(x-1)/(x^2-16*x+1) ogf] A098304 10.2704 [-(19-36*x+2*x^3-15*x^2)/(x-1)/(x+1)/(x^2-17*x+1) lgdogf] A098304 4.39893 [{a(n+3)-18*a(n+2)+18*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=19} ogf] A098304 4.5589 [(19*f(x)+1)*(f(x)*x^3-18*f(x)*x^2+18*f(x)*x+x^2-f(x)+x) ogf] A098304 8.49963 [-x*(x+1)/(x-1)/(x^2-17*x+1) ogf] A098305 10.2018 [-x*(x-1)/(x+1)/(x^2-7*x+1) ogf] A098305 12.7193 [-(5+12*x-9*x^2+2*x^3)/(x-1)/(x+1)/(x^2-7*x+1) lgdogf] A098305 5.23877 [{a(n+3)-6*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A098305 7.36596 [(5*f(x)+1)*(f(x)*x^3-6*f(x)*x^2-6*f(x)*x+x^2+f(x)-x) ogf] A098306 10.8428 [-x*(x-1)/(x+1)/(x^2-8*x+1) ogf] A098306 13.8387 [-2*(3+7*x+x^3-5*x^2)/(x-1)/(x+1)/(x^2-8*x+1) lgdogf] A098306 5.56791 [{a(n+3)-7*a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A098306 5.77606 [(6*f(x)+1)*(f(x)*x^3-7*f(x)*x^2-7*f(x)*x+x^2+f(x)-x) ogf] A098307 10.1960 [-x*(x-1)/(x+1)/(x^2-9*x+1) ogf] A098307 12.4388 [-(7+16*x-11*x^2+2*x^3)/(x-1)/(x+1)/(x^2-9*x+1) lgdogf] A098307 5.23578 [{a(n+3)-8*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A098307 5.43151 [(7*f(x)+1)*(f(x)*x^3-8*f(x)*x^2-8*f(x)*x+x^2+f(x)-x) ogf] A098308 10.2485 [-x*(x-1)/(x+1)/(x^2-10*x+1) ogf] A098308 12.7818 [-2*(4+9*x-6*x^2+x^3)/(x-1)/(x+1)/(x^2-10*x+1) lgdogf] A098308 5.26277 [{a(n+3)-9*a(n+2)-9*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A098308 5.45951 [(8*f(x)+1)*(f(x)*x^3-9*f(x)*x^2-9*f(x)*x+x^2+f(x)-x) ogf] A098309 12.3329 [-x*(x-1)/(x+1)/(x^2-12*x+1) ogf] A098309 12.3538 [-2*(5+11*x-7*x^2+x^3)/(x-1)/(x+1)/(x^2-12*x+1) lgdogf] A098309 6.38281 [{a(n+3)-11*a(n+2)-11*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A098309 6.61492 [(10*f(x)+1)*(f(x)*x^3-11*f(x)*x^2-11*f(x)*x+x^2+f(x)-x) ogf] A098310 10.7185 [-(11+24*x+2*x^3-15*x^2)/(x-1)/(x+1)/(x^2-13*x+1) lgdogf] A098310 4.58910 [{a(n+3)-12*a(n+2)-12*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A098310 4.75598 [(11*f(x)+1)*(f(x)*x^3-12*f(x)*x^2-12*f(x)*x+x^2+f(x)-x) ogf] A098310 8.86707 [-x*(x-1)/(x+1)/(x^2-13*x+1) ogf] A098325 7.33694 [x*(41*x^8+16*x^7+17*x^6+140*x^5-179*x^4+36*x^3-65*x^2-x-9)/(x-1) ogf] A098329 12.2653 [31*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098329 32.1778 [-(1+31*x)/(31*x^2-1+2*x) lgdogf] A098329 5.13058 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-62-31*n)*a(n+1),a(0)=1,a(1)=1,a(2)=17} ogf] A098331 10.1929 [5*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098331 15.8123 [-(-x+(-(2*x-1)*(2*x+1))^(1/2))/(-1+5*x^2)*x revogf] A098331 29.5622 [-(-1+5*x)/(5*x^2+1-2*x) lgdogf] A098331 4.25269 [{(-n-3)*a(n+3)+(5+2*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=1,a(1)=1,a(2)=-1} ogf] A098332 27.5458 [-(9*x-1)/(9*x^2+1-2*x) lgdogf] A098332 3.79752 [{(-n-3)*a(n+3)+(5+2*n)*a(n+2)+(-18-9*n)*a(n+1),a(0)=1,a(1)=1,a(2)=-3} ogf] A098332 9.10198 [9*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098333 23.1362 [-(-1+13*x)/(13*x^2+1-2*x) lgdogf] A098333 3.63803 [{(-n-3)*a(n+3)+(5+2*n)*a(n+2)+(-26-13*n)*a(n+1),a(0)=1,a(1)=1,a(2)=-5} ogf] A098333 8.64033 [13*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098334 11.0979 [17*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098334 22.5755 [-(-1+17*x)/(17*x^2+1-2*x) lgdogf] A098334 4.67280 [{(-n-3)*a(n+3)+(5+2*n)*a(n+2)+(-34-17*n)*a(n+1),a(0)=1,a(1)=1,a(2)=-7} ogf] A098335 24.1642 [-2*(4*x-1)/(8*x^2+1-4*x) lgdogf] A098335 3.64393 [{(-n-3)*a(n+3)+(10+4*n)*a(n+2)+(-16-8*n)*a(n+1),a(0)=1,a(1)=2,a(2)=2} ogf] A098335 8.79169 [8*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A098336 17.1674 [-(-2*x+(1-8*x^2)^(1/2))/(12*x^2-1)*x revogf] A098336 24.7210 [-2*(6*x-1)/(12*x^2+1-4*x) lgdogf] A098336 3.87536 [{(-n-3)*a(n+3)+(10+4*n)*a(n+2)+(-24-12*n)*a(n+1),a(0)=1,a(1)=2,a(2)=0} ogf] A098336 9.20397 [-12*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A098337 21.1617 [-2*(10*x-1)/(20*x^2+1-4*x) lgdogf] A098337 3.43449 [{(-n-3)*a(n+3)+(10+4*n)*a(n+2)+(-40-20*n)*a(n+1),a(0)=1,a(1)=2,a(2)=-4} ogf] A098337 8.21058 [20*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A098338 13.6453 [-(-3*x+(-(2*x-1)*(2*x+1))^(1/2))/(-1+13*x^2)*x revogf] A098338 25.1073 [-(-3+13*x)/(13*x^2+1-6*x) lgdogf] A098338 3.97626 [{(n+3)*a(n+3)+(-15-6*n)*a(n+2)+(26+13*n)*a(n+1),a(0)=1,a(1)=3,a(2)=7} ogf] A098338 9.50574 [-13*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A098339 15.6775 [-(-3*x+(1-8*x^2)^(1/2))/(-1+17*x^2)*x revogf] A098339 23.2026 [-(-3+17*x)/(17*x^2+1-6*x) lgdogf] A098339 3.62733 [{(n+3)*a(n+3)+(-15-6*n)*a(n+2)+(34+17*n)*a(n+1),a(0)=1,a(1)=3,a(2)=5} ogf] A098339 8.6716 [17*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A098340 12.0651 [-21*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A098340 21.3995 [-3*(-1+7*x)/(21*x^2+1-6*x) lgdogf] A098340 3.49510 [{(-n-3)*a(n+3)+(15+6*n)*a(n+2)+(-42-21*n)*a(n+1),a(0)=1,a(1)=3,a(2)=3} ogf] A098341 12.7301 [-(-3*x+(-(4*x-1)*(4*x+1))^(1/2))*x/(5*x-1)/(1+5*x) revogf] A098341 25.4602 [-(-3+25*x)/(25*x^2+1-6*x) lgdogf] A098341 4.03720 [{(-n-3)*a(n+3)+(15+6*n)*a(n+2)+(-50-25*n)*a(n+1),a(0)=1,a(1)=3,a(2)=1} ogf] A098341 9.65144 [-25*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A098347 10.1593 [-(2*x^2-2*x-1)/(3*x^3-3*x^2-3*x+1) ogf] A098347 5.07968 [-(10359*f(x)+3457)*(3*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A098347 5.48425 [{a(n+3)-3*a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=5,a(2)=16} ogf] A098347 9.95094 [-(5+2*x+3*x^2-12*x^3+6*x^4)/(2*x^2-2*x-1)/(3*x^3-3*x^2-3*x+1) lgdogf] A098378 32.5976 [-x^18+x^9+1 ogf_with_Euler_transform] A098378 5.24046 [-(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A098382 7.03904 [-(4*x^32-2*x^31-2*x^29+2*x^22-2*x^21+2*x^12-2*x^11+2*x^7-2*x^5-1)/(x+1)/(x-1)^2 ogf] A098385 5.89927 [(100*f(x)-453)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+24*x^2-f(x)-34*x+13) ogf] A098391 10.1027 [-(x^48-x^15+x^11+x^8+x^7-x^3-1)/(-x^48-x^8+1) ogf_with_Euler_transform] A098399 31.7690 [x*(1+3*x)/(1+6*x)^2 revogf] A098399 5.80555 [{(-12*n-30)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=9} ogf] A098399 7.78972 [-36*f(x)^2*x^2+3*f(x)^2*x-12*f(x)*x+f(x)-1 ogf] A098400 27.2883 [x*(4*x+1)/(1+8*x)^2 revogf] A098400 4.95150 [{(-16*n-40)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=12} ogf] A098400 6.70647 [-64*f(x)^2*x^2+4*f(x)^2*x-16*f(x)*x+f(x)-1 ogf] A098401 6.76356 [{(-12*n-6)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=3} ogf] A098401 9.78307 [-12*f(x)^2*x+f(x)^2+12*f(x)*x-f(x)-3*x ogf] A098402 5.14067 [{(-16*n-8)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=4} ogf] A098402 9.66623 [-16*f(x)^2*x+f(x)^2+16*f(x)*x-f(x)-4*x ogf] A098405 4.76788 [{(-8*n-28)*a(n+1)+(9*n+32)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=7,a(2)=47} ogf] A098405 5.44393 [16*f(x)^2*x^4-34*f(x)^2*x^3+20*f(x)^2*x^2-2*f(x)^2*x-8*f(x)*x^2+9*f(x)*x-f(x)+1 ogf] A098406 11.9004 [-(19*x-2)/(10*x-1)/(x-1) ogf] A098406 13.0103 [-1/20*(-3-11*x+(9-14*x+81*x^2)^(1/2))/(x+2) revogf] A098406 13.3201 [-(13-60*x+200*x^2)/(x-1)/(20*x-3)/(10*x-1) lgdogf] A098406 6.41822 [(7*f(x)-23)*(10*f(x)*x^2-11*f(x)*x+f(x)+19*x-2) ogf] A098406 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=2,a(1)=3} ogf] A098407 15.4324 [-(x-1)/(4*x^3-2*x^2-2*x+1) ogf_with_Euler_transform] A098408 5.78939 [-(100*x^8+20*x^7+20*x^6-90*x^5-9*x^4-19*x^3-10*x^2-2*x-1)/(x-1)/(x^2+x+1)/(10*x^3-1) ogf] A098409 11.4807 [21*f(x)^2*x^2-10*f(x)^2*x+f(x)^2-1 ogf] A098409 19.8299 [-(-5*x+(1+4*x^2)^(1/2))/(-1+21*x^2)*x revogf] A098409 28.2194 [-(-5+21*x)/(7*x-1)/(3*x-1) lgdogf] A098409 4.81450 [{(-n-3)*a(n+3)+(25+10*n)*a(n+2)+(-42-21*n)*a(n+1),a(0)=1,a(1)=5,a(2)=27} ogf] A098410 12.2525 [32*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 ogf] A098410 27.0301 [-2*(-3+16*x)/(8*x-1)/(-1+4*x) lgdogf] A098410 5.13815 [{(-n-3)*a(n+3)+(30+12*n)*a(n+2)+(-64-32*n)*a(n+1),a(0)=1,a(1)=6,a(2)=38} ogf] A098411 11.616 [-48*f(x)^2*x^2+16*f(x)^2*x-f(x)^2+1 ogf] A098411 26.5308 [-8*(6*x-1)/(12*x-1)/(-1+4*x) lgdogf] A098411 4.87123 [{(-n-3)*a(n+3)+(40+16*n)*a(n+2)+(-96-48*n)*a(n+1),a(0)=1,a(1)=8,a(2)=72} ogf] A098430 16.1509 [-16*f(x)^2*x+f(x)^2-1 ogf] A098430 20.1725 [(-8*x+(64*x^2+1)^(1/2))*x revogf] A098430 45.8465 [-8/(16*x-1) lgdogf] A098430 7.00888 [{(-n-2)*a(n+2)+(24+16*n)*a(n+1),a(0)=1,a(1)=8} ogf] A098439 25.7516 [-(1+47*x)/(47*x^2-1+2*x) lgdogf] A098439 4.11906 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-94-47*n)*a(n+1),a(0)=1,a(1)=1,a(2)=25} ogf] A098439 9.84713 [47*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098440 10.2277 [59*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098440 26.7664 [-(1+59*x)/(59*x^2-1+2*x) lgdogf] A098440 4.25047 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-118-59*n)*a(n+1),a(0)=1,a(1)=1,a(2)=31} ogf] A098441 23.3667 [-(1+63*x)/(7*x+1)/(9*x-1) lgdogf] A098441 3.87110 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-126-63*n)*a(n+1),a(0)=1,a(1)=1,a(2)=33} ogf] A098441 9.31486 [63*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098442 23.3102 [-(1+95*x)/(95*x^2-1+2*x) lgdogf] A098442 3.70923 [{(n+3)*a(n+3)+(-5-2*n)*a(n+2)+(-190-95*n)*a(n+1),a(0)=1,a(1)=1,a(2)=49} ogf] A098442 8.92533 [95*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098443 26.1446 [-4*(x+1)/(4*x^2-1+8*x) lgdogf] A098443 3.86291 [{(n+3)*a(n+3)+(-20-8*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=1,a(1)=4,a(2)=26} ogf] A098443 9.32006 [-4*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-1 ogf] A098444 25.2441 [-(3+11*x)/(11*x^2-1+6*x) lgdogf] A098444 4.01323 [{(n+3)*a(n+3)+(-15-6*n)*a(n+2)+(-22-11*n)*a(n+1),a(0)=1,a(1)=3,a(2)=19} ogf] A098444 9.65684 [11*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A098453 12.8252 [-12*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A098453 15.1380 [(-2*x+(16*x^2+1)^(1/2))/(1+12*x^2)*x revogf] A098453 20.9603 [-2*(1+6*x)/(1+2*x)/(6*x-1) lgdogf] A098453 3.61784 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(-24-12*n)*a(n+1),a(0)=1,a(1)=2,a(2)=12} ogf] A098455 21.7767 [-2*(1+18*x)/(36*x^2-1+4*x) lgdogf] A098455 3.75439 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(-72-36*n)*a(n+1),a(0)=1,a(1)=2,a(2)=24} ogf] A098455 9.03401 [36*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A098456 21.5171 [-2*(1+32*x)/(64*x^2-1+4*x) lgdogf] A098456 3.68530 [{(n+3)*a(n+3)+(-10-4*n)*a(n+2)+(-128-64*n)*a(n+1),a(0)=1,a(1)=2,a(2)=38} ogf] A098456 8.92533 [64*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A098457 13.1027 [-(x^6+x^5+x^3+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A098457 9.53606 [-(1+5*x^4+x^12+2*x^11+4*x^9+6*x^7+7*x^6+6*x^5+3*x^2)/(x-1)/(x^6+x^5+x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A098460 11.0306 [1/2*sin(2^(1/2)*x)*2^(1/2)+1/2*cos(2^(1/2)*x)-1/2 revegf] A098460 24.5681 [-(2*x+1)/(2*x^2-1+2*x) lgdegf] A098460 3.88775 [{(2*n^2+8*n+8)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A098460 8.76287 [-2*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 egf] A098461 11.3845 [1/3*sin(3^(1/2)*x)*3^(1/2)+1/3*cos(3^(1/2)*x)-1/3 revegf] A098461 25.3564 [-(3*x+1)/(x+1)/(3*x-1) lgdegf] A098461 3.95419 [{(3*n^2+12*n+12)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A098461 9.03815 [-3*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 egf] A098469 10.9457 [(8*x^3-2*x+(-(2*x-1)*(2*x+1))^(1/2))/(1-4*x^2+16*x^4)*x revogf] A098470 3.36908 [{(-3*n^2-45*n-168)*a(n+1)+(-2*n^2-31*n-120)*a(n+2)+(n^2+16*n+39)*a(n+3),a(0)=1,a(1)=6,a(2)=28} ogf] A098477 18.2070 [-(-1-7*x+12*x^2)/(x-1)/(8*x^2+x-1) lgdogf] A098477 7.80334 [8*f(x)^2*x^3-7*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098478 15.9335 [-(-1-11*x+18*x^2)/(x-1)/(3*x+1)/(-1+4*x) lgdogf] A098478 3.23490 [{(-n-4)*a(n+4)+(7+2*n)*a(n+3)+(33+11*n)*a(n+2)+(-30-12*n)*a(n+1),a(0)=1,a(1)=1,a(2)=7,a(3)=13} ogf] A098478 7.83389 [12*f(x)^2*x^3-11*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098479 22.5832 [-(1-x+6*x^2)/(-x^2-1+2*x+4*x^3) lgdogf] A098479 3.62407 [{(-n-4)*a(n+4)+(7+2*n)*a(n+3)+(-3-n)*a(n+2)+(10+4*n)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A098479 8.81409 [-4*f(x)^2*x^3+f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098480 20.5195 [-(1-x+12*x^2)/(-x^2-1+2*x+8*x^3) lgdogf] A098480 3.40149 [{(-n-4)*a(n+4)+(7+2*n)*a(n+3)+(-3-n)*a(n+2)+(20+8*n)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A098480 8.27274 [-8*f(x)^2*x^3+f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098481 19.8922 [-(1-x+18*x^2)/(3*x-1)/(4*x^2+x+1) lgdogf] A098481 3.38269 [{(-n-4)*a(n+4)+(7+2*n)*a(n+3)+(-3-n)*a(n+2)+(30+12*n)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=7} ogf] A098481 8.16796 [12*f(x)^2*x^3-f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A098482 11.9697 [-a(n+4)+2*a(n+3)-a(n+2)+4*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=9 lgdogf] A098482 9.042 [-4*f(x)^2*x^4+f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098483 11.0790 [-a(n+4)+2*a(n+3)-a(n+2)+8*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=17 lgdogf] A098483 8.51459 [-8*f(x)^2*x^4+f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098484 10.9666 [-a(n+4)+2*a(n+3)-a(n+2)+12*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=25 lgdogf] A098484 8.45933 [-12*f(x)^2*x^4+f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A098498 8.74722 [-(2*x^6-x^5-6*x^4+5*x^3+11*x^2+2*x+1)/(x-1)^3 ogf] A098498 9.72304 [(-5-26*x-26*x^2+24*x^3-x^4-14*x^5+6*x^6)/(x-1)/(2*x^6-x^5-6*x^4+5*x^3+11*x^2+2*x+1) lgdogf] A098499 7.20546 [(-5-36*x-8*x^7-74*x^2-68*x^3+19*x^4+22*x^5-27*x^6+9*x^8)/(x-1)/(x+1)/(3*x^7-x^6-8*x^5+4*x^4+13*x^3+13*x^2+3*x+1) lgdogf] A098499 7.98290 [-(3*x^7-x^6-8*x^5+4*x^4+13*x^3+13*x^2+3*x+1)/(x+1)/(x-1)^3 ogf] A098500 9.21440 [-(2*x^6-2*x^5-4*x^4+4*x^3+6*x^2+1)/(x-1)^3 ogf] A098500 9.81319 [(-3-12*x-18*x^2+16*x^3+6*x^4-16*x^5+6*x^6)/(x-1)/(2*x^6-2*x^5-4*x^4+4*x^3+6*x^2+1) lgdogf] A098501 7.01199 [(-2-6*x-34*x^7+8*x^9+2*x^8-5*x^6+52*x^5+4*x^4-44*x^3-17*x^2)/(x-1)/(x+1)/(2*x^8+2*x^7-7*x^6-5*x^5+8*x^4+5*x^3+x^2+1) lgdogf] A098501 7.89484 [-(2*x^8+2*x^7-7*x^6-5*x^5+8*x^4+5*x^3+x^2+1)/(x+1)/(x-1)^3 ogf] A098502 18.0389 [4*(x+3)/(x-1)^2 ogf] A098502 27.1303 [-(-6-x+2*(9+4*x)^(1/2))/(-4+x) revogf] A098502 45.2172 [-(7+x)/(x+3)/(x-1) lgdogf] A098502 9.53783 [(2*f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-12) ogf] A098502 9.87846 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=28} ogf] A098518 4.83217 [{(-7*n^2-35*n-42)*a(n+1)+(-2*n^2-11*n-15)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A098518 7.50257 [-14*f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x-7*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A098519 4.49938 [{(11*n^2+55*n+66)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A098519 6.96425 [-33*f(x)^2*x^3-6*f(x)^2*x^2+3*f(x)^2*x-11*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A098520 4.77712 [{(15*n^2+75*n+90)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A098520 7.39414 [-60*f(x)^2*x^3-8*f(x)^2*x^2+4*f(x)^2*x-15*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A098521 4.74483 [{(7*n^2+35*n+42)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-n^2-6*n-5)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A098521 6.14036 [-28*f(x)^2*x^4-8*f(x)^2*x^3+4*f(x)^2*x^2+7*f(x)*x^3-5*f(x)*x^2-3*f(x)*x-x^2+f(x) ogf] A098522 4.72532 [{(11*n^2+55*n+66)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-n^2-6*n-5)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A098522 6.06075 [-99*f(x)^2*x^4-18*f(x)^2*x^3+9*f(x)^2*x^2+11*f(x)*x^3-9*f(x)*x^2-3*f(x)*x-x^2+f(x) ogf] A098523 13.6129 [-(1+2*x+3*x^6-x^2+5*x^4)/(1+x^2)/(x^2-x+1)/(x^3+x^2-1) lgdogf] A098523 15.3146 [-(x^2+1)/(x^2-x+1)/(x^3+x^2-1) ogf] A098524 15.0206 [-(1+4*x+24*x^6+20*x^4-2*x^2)/(2*x^2+1)/(4*x^5+x-1) lgdogf] A098524 15.6262 [-(2*x^2+1)/(4*x^5+x-1) ogf] A098525 14.2925 [-(1+6*x+81*x^6+45*x^4-3*x^2)/(3*x^2+1)/(9*x^5+x-1) lgdogf] A098525 14.8744 [-(3*x^2+1)/(9*x^5+x-1) ogf] A098526 14.4756 [-(4*x^2+1)/(2*x-1)/(8*x^4+4*x^3+2*x^2+x+1) ogf] A098526 9.99706 [-(1+8*x+192*x^6+80*x^4-4*x^2)/(2*x-1)/(4*x^2+1)/(8*x^4+4*x^3+2*x^2+x+1) lgdogf] A098527 15.2194 [-(1+3*x^2-2*x^3+4*x^9+7*x^6)/(x+1)/(x^2-x+1)/(x^7+x-1) lgdogf] A098527 17.0966 [-(x+1)*(x^2-x+1)/(x^7+x-1) ogf] A098528 15.0640 [-(1+6*x^2-4*x^3+32*x^9+28*x^6)/(2*x^3+1)/(4*x^7+x-1) lgdogf] A098528 16.2952 [-(2*x^3+1)/(4*x^7+x-1) ogf] A098531 5.62852 [x*(x^4+7*x^3-16*x^2-7*x+1)/(x-1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A098532 4.26674 [x*(x^4-11*x^3-64*x^2-11*x+1)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A098535 21.3786 [-3*x^3*(4+3*x)/(x+1)/(9*x^4-x-1) lgdogf] A098536 15.5310 [-(1-2*x+12*x^3+x^2)/(-3*x^2-1+3*x+9*x^4+x^3) lgdogf] A098536 7.04141 [9*f(x)^3*x^4+f(x)^3*x^3-3*f(x)^3*x^2+3*f(x)^3*x-f(x)^3+1 ogf] A098537 19.9796 [-6*x^3*(4+3*x)/(x+1)/(18*x^4-x-1) lgdogf] A098538 14.5168 [-(1-2*x+x^2+24*x^3)/(-3*x^2-1+3*x+18*x^4+x^3) lgdogf] A098538 6.66725 [18*f(x)^3*x^4+f(x)^3*x^3-3*f(x)^3*x^2+3*f(x)^3*x-f(x)^3+1 ogf] A098547 10.1279 [-(x^3-7*x^2+x-1)/(x-1)^4 ogf] A098547 17.7906 [-(-3-11*x+x^3-11*x^2)/(x-1)/(x^3-7*x^2+x-1) lgdogf] A098547 4.06172 [{(201*n^2+1093*n+1382)*a(n+1)+(-230*n^2-640*n-114)*a(n+2)+(29*n^2+63*n-72)*a(n+3),a(0)=1,a(1)=3,a(2)=13} ogf] A098547 5.34144 [(41526*f(x)+134875)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-7*x^2+f(x)+x-1) ogf] A098548 7.19090 [(4*x^10+4*x^8+x^7+11*x^6+x^5+5*x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A098554 14.7795 [-x*(x-1)*(x+1)/(x^2+x+1)/(x^2+1) ogf] A098554 19.4947 [-(-1-6*x+2*x^5-4*x^2-4*x^3+x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A098554 29.0520 [x^3+x^2-2*x-1 ogf_with_Euler_transform] A098554 7.56432 [(21*f(x)+31)*(f(x)*x^4+f(x)*x^3+2*f(x)*x^2+x^3+f(x)*x+f(x)-x) ogf] A098557 3.39131 [{(n^3-n)*a(n)+(n^3+4*n^2+5*n)*a(n+1)+2*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A098558 16.862 [-f(x)*x+f(x)-x-1 egf] A098558 20.5078 [-(x+1)/(x-1) egf] A098558 41.9709 [-2/(x-1)/(x+1) lgdegf] A098558 5.34358 [{(n^2+n)*a(n)+(n^2+3*n+4)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A098559 14.4724 [-(3*x+1)/(3*x-1) egf] A098559 15.6382 [-3*f(x)*x+f(x)-3*x-1 egf] A098559 27.5865 [-6/(-1+3*x)/(3*x+1) lgdegf] A098559 3.74459 [{(9*n^2+9*n)*a(n)+(3*n^2+9*n+12)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=6} ogf] A098560 12.9069 [-4*f(x)*x+f(x)-4*x-1 egf] A098560 15.6975 [-(4*x+1)/(4*x-1) egf] A098560 29.9724 [-8/(-1+4*x)/(4*x+1) lgdegf] A098560 3.97814 [{(16*n^2+16*n)*a(n)+(4*n^2+12*n+16)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=8} ogf] A098574 15.0978 [(x-1)/(x^7-x^2+2*x-1) ogf] A098574 16.6994 [-(-1+2*x+6*x^7-7*x^6-x^2)/(x-1)/(x^7-x^2+2*x-1) lgdogf] A098575 13.7256 [(x-1)/(2*x^4-x^2+2*x-1) ogf] A098575 14.5535 [-(-1+2*x+6*x^4-8*x^3-x^2)/(x-1)/(2*x^4-x^2+2*x-1) lgdogf] A098575 7.06266 [(f(x)-1)*(2*f(x)*x^4-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A098576 14.0202 [(x-1)/(3*x^4-x^2+2*x-1) ogf] A098576 14.5769 [-(-1+2*x+9*x^4-12*x^3-x^2)/(x-1)/(3*x^4-x^2+2*x-1) lgdogf] A098576 7.21425 [(f(x)-1)*(3*f(x)*x^4-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A098577 14.3777 [(x-1)/(2*x^5-x^2+2*x-1) ogf] A098577 14.9473 [-(-1+2*x+8*x^5-10*x^4-x^2)/(x-1)/(2*x^5-x^2+2*x-1) lgdogf] A098577 7.39826 [(f(x)-2)*(2*f(x)*x^5-f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A098578 15.9863 [x/(x-1)/(x^4+x-1) ogf] A098578 20.8642 [-(-2+2*x+5*x^4-4*x^3)/(x-1)/(x^4+x-1) lgdogf] A098578 8.24555 [-f(x)*x^5+f(x)*x^4-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A098579 18.1689 [8*x-1+f(x)^2 ogf] A098579 5.41573 [{(n+2)*a(n+2)+(-4-8*n)*a(n+1),a(0)=1,a(1)=-4} ogf] A098579 61.1949 [4/(-1+8*x) lgdogf] A098580 12.4036 [4*(4*x+(1-8*x)^(1/2))/(16*x^2+8*x-1)*(-1+4*x)/(-1+8*x) lgdogf] A098580 4.03300 [{(-32*n^2+16*n)*a(n)+(12*n^2+20*n+8)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=-4} ogf] A098580 7.13888 [8*f(x)^2*x-f(x)^2-16*f(x)*x+16*x^2+2*f(x)+8*x-1 ogf] A098581 13.2744 [-(4*x^2+2*x+1)/(2*x-1)/(4*x^3+2*x^2+x+1) ogf] A098581 7.17902 [-(5*f(x)-36)*(8*f(x)*x^4+f(x)*x+4*x^2-f(x)+2*x+1) ogf] A098581 9.19576 [-(3+8*x+64*x^5+48*x^4+32*x^3-4*x^2)/(2*x-1)/(4*x^2+2*x+1)/(4*x^3+2*x^2+x+1) lgdogf] A098582 11.4593 [-(2*x+1)*(4*x^2+1)/(2*x-1)/(8*x^4+4*x^3+2*x^2+x+1) ogf] A098582 6.76324 [-(3+8*x+256*x^7+192*x^6+128*x^5+80*x^4-16*x^3+20*x^2)/(2*x+1)/(2*x-1)/(4*x^2+1)/(8*x^4+4*x^3+2*x^2+x+1) lgdogf] A098583 10.0067 [-(16*x^4+8*x^3+4*x^2+2*x+1)/(2*x-1)/(16*x^5+8*x^4+4*x^3+2*x^2+x+1) ogf] A098586 14.5032 [-(x-2)/(x-1)/(x^2+2*x-1) ogf] A098586 14.5136 [-(5-4*x+2*x^3-5*x^2)/(x-1)/(-2+x)/(x^2+2*x-1) lgdogf] A098586 6.80240 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=13} ogf] A098586 7.32067 [(25*f(x)-32)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)+x-2) ogf] A098588 20.2918 [-1/(x^5+2*x-1) ogf] A098588 28.5170 [-(2+5*x^4)/(-1+2*x+x^5) lgdogf] A098589 18.7280 [-1/(2*x^3+3*x-1) ogf] A098589 22.4129 [-3*(1+2*x^2)/(-1+3*x+2*x^3) lgdogf] A098589 6.57473 [{-a(n+3)+3*a(n+2)+2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A098589 7.62993 [(f(x)-1)*(2*f(x)*x^3+3*f(x)*x-f(x)+1) ogf] A098590 11.7299 [-a(n+4)+4*a(n+3)+a(n),a(0)=4,a(1)=16,a(2)=64,a(3)=260 lgdogf] A098590 19.9350 [-1/(x^4+4*x-1) ogf] A098590 7.7395 [-(f(x)-1)*(f(x)*x^4+4*f(x)*x-f(x)+1) ogf] A098600 15.4412 [-(2*x+1)/(x+1)/(x^2+x-1) ogf] A098600 16.8652 [-(2+4*x+4*x^3+7*x^2)/(2*x+1)/(x+1)/(x^2+x-1) lgdogf] A098600 8.04914 [{-a(n+3)+2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A098600 8.40687 [-(10*f(x)-7)*(f(x)*x^3+2*f(x)*x^2-f(x)+2*x+1) ogf] A098601 12.8194 [-(2*x+1)/(x+1)/(x^3+x^2-1) ogf] A098601 14.6083 [-(1+2*x+6*x^4+12*x^3+8*x^2)/(2*x+1)/(x+1)/(x^3+x^2-1) lgdogf] A098601 6.10924 [-(27*f(x)+100)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2-f(x)*x-f(x)+2*x+1) ogf] A098602 13.5168 [-12*x/(x-1)/(x^2-34*x+1) ogf] A098602 5.59315 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=420} ogf] A098602 8.11007 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+12*x ogf] A098603 14.1582 [x*(9*x-11)/(x-1)^3 ogf] A098603 31.1346 [-6*(-4+3*x)/(x-1)/(9*x-11) lgdogf] A098603 6.84312 [-(1852*f(x)-196833)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+11*x) ogf] A098603 7.26703 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=24} ogf] A098608 17.1783 [-1/(100*x-1) ogf] A098608 22.6565 [1/100*ln(1+100*x) revegf] A098608 27.5115 [-100/(100*x-1) lgdogf] A098608 7.31669 [{a(n+1)-100*a(n),a(0)=1} ogf] A098608 9.18838 [-100*f(x)*x+f(x)-1 ogf] A098609 11.2203 [-100*f(x)*x^2+101*f(x)*x-f(x)+99*x ogf] A098609 14.9475 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A098609 17.0976 [99*x/(100*x-1)/(x-1) ogf] A098609 7.10617 [-1/200*(-101*x-99+3*(11*x+9)^(1/2)*(9*x+11)^(1/2)*11^(1/2))/x revogf] A098609 8.35001 [{a(n+2)-101*a(n+1)+100*a(n),a(0)=0,a(1)=99} ogf] A098610 12.9344 [-(-9-40*x+90*x^2)/(9*x-2)/(10*x-1)/(x+1) lgdogf] A098610 16.2154 [(9*x-2)/(x+1)/(10*x-1) ogf] A098610 7.93519 [-(121*f(x)-161)*(10*f(x)*x^2+9*f(x)*x-f(x)-9*x+2) ogf] A098610 8.98683 [{-a(n+2)+9*a(n+1)+10*a(n),a(0)=2,a(1)=9} ogf] A098611 10.8389 [1/20*(-9*x-11+(11*x^2+18*x+11)^(1/2)*11^(1/2))/x revogf] A098611 10.9516 [-10*f(x)*x^2-9*f(x)*x+f(x)-11*x ogf] A098611 17.1294 [-11*x/(x+1)/(10*x-1) ogf] A098611 20.8107 [-(9+20*x)/(1+x)/(-1+10*x) lgdogf] A098611 8.04877 [{-a(n+2)+9*a(n+1)+10*a(n),a(0)=0,a(1)=11} ogf] A098613 15.5139 [-(x+1)/(x^3-x^2+x-1) ogf_with_Euler_transform] A098613 99.9999 Evaluated at exp(-Pi) 1/2*exp(5/24*Pi)*2^(1/8) A098614 12.1116 [-1-4*x+(1-4*x-16*x^2)*f(x)+(-4*x^2-16*x^3+x)*f(x)^2 lgdogf] A098614 19.9255 [(-x+(-(2*x-1)*(2*x+1))^(1/2))*x revogf] A098614 3.50129 [{(-16*n^2-64*n-60)*a(n+1)+(-4*n^2-22*n-30)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A098615 10.8470 [(5*x-20*x^3+(-(2*x-1)*(2*x+1))^(1/2))/(2*x-1)/(2*x+1)/(5*x^2-1) lgdogf] A098615 20.9428 [5*f(x)^2*x^2-f(x)^2+2*f(x)*x+1 ogf] A098615 29.7115 [1/(1+2*x+5*x^2)^(1/2)*x revogf] A098616 12.0587 [-2-4*x+(1-8*x-16*x^2)*f(x)+(-8*x^2-16*x^3+x)*f(x)^2 lgdogf] A098616 18.6362 [(-2*x+(-(2*x-1)*(2*x+1))^(1/2))*x revogf] A098616 3.46503 [{(16*n^2+64*n+60)*a(n+1)+(8*n^2+44*n+60)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A098617 10.4107 [-8*f(x)^2*x^2+f(x)^2-4*f(x)*x-1 ogf] A098617 27.9430 [1/(1+4*x+8*x^2)^(1/2)*x revogf] A098617 9.59237 [2*(-16*x^3+4*x+(-(2*x-1)*(2*x+1))^(1/2))/(2*x-1)/(2*x+1)/(-1+8*x^2) lgdogf] A098618 21.0756 [(-3*x+(1-8*x^2)^(1/2))*x revogf] A098618 9.54367 [-3-8*x+(1-12*x-32*x^2)*f(x)+(-12*x^2-32*x^3+x)*f(x)^2 lgdogf] A098619 13.2348 [17*f(x)^2*x^2-f(x)^2+6*f(x)*x+1 ogf] A098619 15.4416 [(17*x-136*x^3+3*(1-8*x^2)^(1/2))/(-1+8*x^2)/(17*x^2-1) lgdogf] A098619 34.7436 [1/(1+6*x+17*x^2)^(1/2)*x revogf] A098646 10.4474 [(30*f(x)-89)*(4*f(x)*x^2-f(x)+2*x+3) ogf] A098646 11.2637 [{-a(n+2)+4*a(n),a(0)=3,a(1)=2} ogf] A098646 12.1898 [-1/2*arcsinh(1/4*2^(1/2))+1/2*arcsinh(1/4*2^(1/2)*(2*x+1)) revegf] A098646 17.2442 [-2*(1+12*x+4*x^2)/(2*x+3)/(2*x+1)/(2*x-1) lgdogf] A098646 17.5823 [-(2*x+3)/(2*x-1)/(2*x+1) ogf] A098647 10.4550 [-(12*x-1)/(64*x^2-24*x+1) ogf] A098647 11.1534 [-4*(3-32*x+192*x^2)/(12*x-1)/(64*x^2-24*x+1) lgdogf] A098647 5.28251 [-(160*f(x)-79)*(64*f(x)*x^2-24*f(x)*x+f(x)+12*x-1) ogf] A098647 5.90399 [{a(n+2)-24*a(n+1)+64*a(n),a(0)=1,a(1)=12} ogf] A098648 13.5319 [-(3*x-1)/(4*x^2-6*x+1) ogf] A098648 16.1235 [-(3-8*x+12*x^2)/(3*x-1)/(4*x^2-6*x+1) lgdogf] A098648 7.42604 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=1,a(1)=3} ogf] A098648 8.01422 [-(160*f(x)-79)*(4*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A098655 10.6280 [-2*(1+16*x-80*x^2+64*x^3+64*x^4)/(2*x-1)/(8*x^2-1)/(8*x^2+4*x-3) lgdogf] A098655 11.1881 [-(8*x^2+4*x-3)/(2*x-1)/(8*x^2-1) ogf] A098655 5.8291 [-(11*f(x)+195)*(16*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+8*x^2+f(x)+4*x-3) ogf] A098655 6.08477 [{-a(n+3)+2*a(n+2)+8*a(n+1)-16*a(n),a(0)=3,a(1)=2,a(2)=20} ogf] A098656 13.6837 [-x*(4*x-1)/(2*x-1)/(8*x^2-1) ogf] A098656 16.0624 [-2*(-1+8*x-40*x^2+64*x^3)/(2*x-1)/(-1+4*x)/(8*x^2-1) lgdogf] A098656 7.08620 [{-a(n+3)+2*a(n+2)+8*a(n+1)-16*a(n),a(0)=0,a(1)=1,a(2)=-2} ogf] A098656 7.34864 [(2*f(x)-1)*(16*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-x) ogf] A098657 11.1910 [-(4*x^2+x-1)/(2*x-1)/(8*x^2-1) ogf] A098657 11.5295 [-(1+8*x+64*x^4+32*x^3-48*x^2)/(2*x-1)/(8*x^2-1)/(4*x^2+x-1) lgdogf] A098657 6.14021 [(f(x)-37)*(16*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+x-1) ogf] A098657 6.14022 [{-a(n+3)+2*a(n+2)+8*a(n+1)-16*a(n),a(0)=1,a(1)=1,a(2)=6} ogf] A098658 11.4987 [-12*f(x)^2*x+f(x)^2-1 ogf] A098658 20.6950 [(-6*x+(36*x^2+1)^(1/2))*x revogf] A098658 4.98998 [{(-n-2)*a(n+2)+(18+12*n)*a(n+1),a(0)=1,a(1)=6} ogf] A098658 43.1147 [-6/(-1+12*x) lgdogf] A098659 10.3238 [25*f(x)^2*x^2-14*f(x)^2*x+f(x)^2-1 ogf] A098659 25.3485 [-(-7+25*x)/(25*x^2+1-14*x) lgdogf] A098659 4.32932 [{(-n-3)*a(n+3)+(35+14*n)*a(n+2)+(-50-25*n)*a(n+1),a(0)=1,a(1)=7,a(2)=61} ogf] A098660 11.7536 [1/2/(3+8*x+16*x^2)*(-1+((1+4*x+8*x^2)*(4*x+1)^2)^(1/2)) revogf] A098660 8.04605 [-16*f(x)^2*x^3+2*f(x)^2*x-8*f(x)*x^2+f(x)-3*x-1 ogf] A098662 11.5514 [1/8*(-1+((12*x^2+4*x+1)*(1+6*x)^2)^(1/2))/(1+3*x+9*x^2) revogf] A098662 7.81158 [-36*f(x)^2*x^3+3*f(x)^2*x-12*f(x)*x^2+f(x)-4*x-1 ogf] A098663 6.10145 [12*f(x)^2*x^3-24*f(x)^2*x^2+3*f(x)^2*x+4*f(x)*x^2-8*f(x)*x+f(x)-1 ogf] A098663 9.19069 [-1/8*((12*x^2+4*x+1)^(1/2)+6*(12*x^2+4*x+1)^(1/2)*x-1-8*x-24*x^2)/x/(1+3*x) revogf] A098664 11.2943 [1/2/(5+16*x+64*x^2)*(-1+((16*x^2+4*x+1)*(1+8*x)^2)^(1/2)) revogf] A098664 7.91145 [-64*f(x)^2*x^3+4*f(x)^2*x-16*f(x)*x^2+f(x)-5*x-1 ogf] A098665 6.52849 [36*f(x)^2*x^3-40*f(x)^2*x^2+4*f(x)^2*x+9*f(x)*x^2-10*f(x)*x+f(x)-1 ogf] A098665 9.67455 [-1/18*((16*x^2+4*x+1)^(1/2)+8*(16*x^2+4*x+1)^(1/2)*x-1-10*x-40*x^2)/x/(4*x+1) revogf] A098670 11.1873 [2*(3-2*x+394*x^6-867*x^5+447*x^4+26*x^3)/(x-1)/(197*x^6-184*x^5-13*x^4+4*x-5) lgdogf] A098670 11.8585 [-(197*x^6-184*x^5-13*x^4+4*x-5)/(x-1)^2 ogf] A098703 12.1011 [-x*(2*x-1)/(3*x-1)/(x^2+x-1) ogf] A098703 14.4632 [-(2-4*x+12*x^3-5*x^2)/(3*x-1)/(2*x-1)/(x^2+x-1) lgdogf] A098703 6.21410 [{a(n+3)-4*a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A098703 6.44641 [(7*f(x)+4)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-x) ogf] A098704 10.3671 [-1/32*(-17*x-2+(25*x+2)^(1/2)*(9*x+2)^(1/2))/x revogf] A098704 13.9422 [2/(16*x-1)/(x-1) ogf] A098704 17.6624 [-(-17+32*x)/(-1+16*x)/(x-1) lgdogf] A098704 5.67414 [(257*f(x)+64)*(16*f(x)*x^2-17*f(x)*x+f(x)-2) ogf] A098704 5.74089 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=2,a(1)=34} ogf] A098706 4.86688 [{-a(n+4)+35*a(n+3)-35*a(n+2)+a(n+1),a(0)=0,a(1)=2,a(2)=10,a(3)=290} ogf] A098706 5.13097 [-(3960*f(x)+5519)*(f(x)*x^3-35*f(x)*x^2+10*x^3+35*f(x)*x-60*x^2-f(x)+2*x) ogf] A098706 8.89805 [-(5-60*x+5*x^4-60*x^3+878*x^2)/(x-1)/(x^2-34*x+1)/(5*x^2-30*x+1) lgdogf] A098706 9.59268 [-2*x*(5*x^2-30*x+1)/(x-1)/(x^2-34*x+1) ogf] A098713 13.9848 [(24*x^2-14*x-1)/(x-1)/(4*x-1)^2 ogf] A098713 16.9052 [-(23-4*x+96*x^3-88*x^2)/(x-1)/(4*x-1)/(24*x^2-14*x-1) lgdogf] A098713 7.04658 [-(291510*f(x)-721781)*(16*f(x)*x^3-24*f(x)*x^2+9*f(x)*x-24*x^2-f(x)+14*x+1) ogf] A098713 7.76932 [{-a(n+3)+9*a(n+2)-24*a(n+1)+16*a(n),a(0)=1,a(1)=23,a(2)=159} ogf] A098730 7.38755 [-(1+3*x+36*x^4-7*x^3+6*x^6+30*x^5-21*x^2)/(-1+3*x)/(x+1)/(x^2+2*x-1)/(x^3+3*x^2+2*x-1) lgdogf] A098746 7.66428 [-f(x)^3*x^2+f(x)^3*x-f(x)^3-f(x)^2*x+3*f(x)^2-3*f(x)+1 ogf] A098748 11.2569 [(1+10*x-17*x^4+28*x^3+4*x^5-20*x^2)/(x-1)/(2*x^5-7*x^4+9*x^3-7*x^2+2*x-1) lgdogf] A098748 9.85271 [(2*x^5-7*x^4+9*x^3-7*x^2+2*x-1)/(x-1)^3 ogf] A098749 11.9111 [(-1+2*x+2*x^5+12*x^3-8*x^4-13*x^2)/(x-1)/(x^5-3*x^4+4*x^3+x^2-2*x+1) lgdogf] A098749 9.71393 [-(x^5-3*x^4+4*x^3+x^2-2*x+1)/(x-1)^3 ogf] A098752 7.15118 [-(2*x^2+x+1)*(10*x^4+10*x^3-10*x-1)/(x-1)/(x^2+x+1)/(10*x^3-1) ogf] A098760 11.4410 [-x*(90*x^20-90*x^19+9*x-10)/(x+1)/(x-1)^2 ogf] A098760 9.56333 [(1+21*x-1710*x^19+1710*x^18-18*x^2-1530*x^20+1530*x^21)/(x-1)/(x+1)/(90*x^20-90*x^19+9*x-10) lgdogf] A098786 17.8015 [-(f(x)-1)^3 ogf] A098790 11.2059 [(x^2-x+1)/(x-1)/(x^2+2*x-1) ogf] A098790 13.6754 [-(-2+x^4-2*x^3+5*x^2)/(x-1)/(x^2-x+1)/(x^2+2*x-1) lgdogf] A098790 5.89277 [-(f(x)-13)*(f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1) ogf] A098790 6.10323 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A098808 12.1010 [-1/4*(-2037-3*x+(4149369+4118*x+x^2)^(1/2))/(1013+x) revogf] A098808 12.3383 [-(4085-8148*x+4052*x^2)/(x-1)/(2026*x-2037)/(2*x-1) lgdogf] A098808 12.5876 [-(2026*x-2037)/(x-1)/(2*x-1) ogf] A098808 6.41967 [(4107*f(x)+8321266)*(2*f(x)*x^2-3*f(x)*x+f(x)+2026*x-2037) ogf] A098808 7.29507 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=2037,a(1)=4085} ogf] A098809 12.2239 [-(16777193-33554340*x+16777124*x^2)/(8388562*x-8388585)/(x-1)/(2*x-1) lgdogf] A098809 15.0174 [-(8388562*x-8388585)/(x-1)/(2*x-1) ogf] A098809 7.25415 [(16777239*f(x)+140736909542434)*(2*f(x)*x^2-3*f(x)*x+f(x)+8388562*x-8388585) ogf] A098809 9.01041 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=8388585,a(1)=16777193} ogf] A098820 10.2631 [-(8*x^9+4*x^5+2*x^3+x^2+1)/(x-1) ogf] A098821 10.6355 [-(17*x^2-16*x+4)/(x-1)/(2*x-1)^2 ogf] A098821 11.9351 [-(-4+22*x-47*x^2+34*x^3)/(x-1)/(-1+2*x)/(17*x^2-16*x+4) lgdogf] A098821 5.4921 [-(184*f(x)-1143)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+17*x^2-f(x)-16*x+4) ogf] A098821 5.98246 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=4,a(1)=4,a(2)=5} ogf] A098847 13.6476 [x*(11*x-13)/(x-1)^3 ogf] A098847 27.3654 [-2*(-14+11*x)/(x-1)/(11*x-13) lgdogf] A098847 6.76647 [-(356*f(x)-62685)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+13*x) ogf] A098847 7.12575 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=13,a(2)=28} ogf] A098848 13.7132 [x*(13*x-15)/(x-1)^3 ogf] A098848 27.4989 [-2*(-16+13*x)/(x-1)/(13*x-15) lgdogf] A098848 6.68662 [-(3228*f(x)-876197)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-13*x^2-f(x)+15*x) ogf] A098848 7.16001 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=32} ogf] A098849 13.8445 [x*(15*x-17)/(x-1)^3 ogf] A098849 29.8226 [-6*(-6+5*x)/(x-1)/(15*x-17) lgdogf] A098849 6.80686 [-(580*f(x)-229881)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+17*x) ogf] A098849 7.22852 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=17,a(2)=36} ogf] A098850 13.9101 [x*(17*x-19)/(x-1)^3 ogf] A098850 27.8993 [-2*(-20+17*x)/(x-1)/(17*x-19) lgdogf] A098850 6.72701 [-(4988*f(x)-2767401)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-17*x^2-f(x)+19*x) ogf] A098850 7.26278 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=19,a(2)=40} ogf] A098878 3.48832 [(205233*f(x)-285625)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2-136*x^3-15*f(x)*x+100*x^2+f(x)-29*x+2) ogf] A098878 6.29501 [(136*x^3-100*x^2+29*x-2)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A098879 4.52149 [(66560*x^5-57728*x^4+22640*x^3-2300*x^2+125*x-2)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A098884 12.1625 [-(x^10-x^9+x^6+x^4-x+1)/(x^12-1) ogf_with_Euler_transform] A098884 99.9999 Evaluated at exp(-Pi) 2/3*exp(1/12*Pi)*Pi^(1/3)*3^(11/12)/GAMMA(2/3)^(2/3)/GAMMA(3/4)^(2/3)/(2^(1/2)*(1+3^(1/2)))^(2/3)*GAMMA(11/12)^(2/3) A098890 10.1818 [-(x^2-22*x+1)/(x-1)/(x^2-34*x+1) ogf] A098890 5.25515 [(2021301*f(x)+19310)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)-22*x+1) ogf] A098890 5.56956 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=421} ogf] A098894 7.65446 [(x^2+1)*(x+1)/(x-1)/(x^4+2*x^2-1) ogf] A098894 8.96349 [-2*(-1-3*x+x^6+x^5+x^3+x^7+3*x^4+x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+2*x^2-1) lgdogf] A098916 25.5798 [-3*(3+x)/(x+2)/(x-1) lgdegf] A098916 3.94142 [(7263*f(x)+19939)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-4*x) egf] A098916 4.68709 [{(-n^2-6*n-9)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=4} ogf] A098916 8.00411 [2*x*(x+2)/(x-1)^4 egf] A098921 10.0720 [-2*(31+87*x+81*x^2+18*x^3+2*x^4+x^5)/(x-1)/(x+1)/(x^4+8*x^2+26*x+9) lgdogf] A098921 7.61462 [-x*(x^4+8*x^2+26*x+9)/(x+1)/(x-1)^5 ogf] A098923 12.7839 [-x*(30*x+1)/(x-1)^3 ogf] A098923 27.0518 [-3*(11+20*x)/(30*x+1)/(x-1) lgdogf] A098923 6.02817 [-(206615*f(x)-2113104)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+30*x^2-f(x)+x) ogf] A098923 6.62022 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=33} ogf] A098924 13.4052 [-(42*x+1)/(x-1)^3 ogf] A098924 26.2715 [-3*(15+28*x)/(42*x+1)/(x-1) lgdogf] A098924 6.24034 [(552851*f(x)-14277275)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+42*x+1) ogf] A098924 6.29461 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=45,a(2)=132} ogf] A098931 10.0127 [-(x^3-5*x^2-3*x-1)/(x-1)^4 ogf] A098931 17.1868 [-(-7-19*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2-3*x-1) lgdogf] A098931 4.19009 [{(19*n^2+110*n+144)*a(n+1)+(-14*n^2-6*n+93)*a(n+2)+(-5*n^2-32*n-51)*a(n+3),a(0)=1,a(1)=7,a(2)=27} ogf] A098931 5.28066 [(29824*f(x)+148249)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)-3*x-1) ogf] A098938 3.51709 [-x*(30*x+1)/(x-1)^3 ogf] A098938 6.98184 [-3*(11+20*x)/(30*x+1)/(-1+x) lgdogf] A098944 5.19469 [(100*x^23+10*x^12+x^11+x^10+x^9+2*x^8+2*x^7+2*x^6+3*x^5+20*x^4+20*x^3+20*x^2+10*x+8)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A098949 5.77426 [(101*x^11+x^10+2*x^9+2*x^8+2*x^7+2*x^6+x^5+20*x^4+20*x^3+20*x^2+20*x+9)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A098955 10.7033 [-(x^11-x^10+x^2-10*x-1)/(x-1)^2 ogf] A098955 12.7951 [(12+8*x+10*x^9+9*x^11-19*x^10)/(x-1)/(x^11-x^10+x^2-10*x-1) lgdogf] A098992 14.1259 [-(11+11*x-24*x^2+10*x^3)/(x-1)/(2*x^3-5*x^2+3*x+1) lgdogf] A098992 4.02698 [{(-727*n^2-8319*n-21644)*a(n+1)+(1418*n^2+8520*n-2618)*a(n+2)+(-691*n^2-453*n+238)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A098992 6.46957 [x^2*(2*x^3-5*x^2+3*x+1)/(x-1)^8 ogf] A098994 4.02367 [x^3*(3*x^6-14*x^5+23*x^4-6*x^3-17*x^2+14*x+1)/(x-1)^12 ogf] A098994 7.96026 [-2*(13+60*x+9*x^6-40*x^5+57*x^4+19*x^3-94*x^2)/(x-1)/(3*x^6-14*x^5+23*x^4-6*x^3-17*x^2+14*x+1) lgdogf] A099003 14.7868 [(13*x+1)/(x-1)/(2*x-1) ogf] A099003 15.8744 [-1/2*(-1-3*x+(1+58*x+x^2)^(1/2))/(-13+2*x) revogf] A099003 16.2616 [-2*(-8+2*x+13*x^2)/(x-1)/(13*x+1)/(2*x-1) lgdogf] A099003 7.72947 [(11*f(x)+53)*(2*f(x)*x^2-3*f(x)*x+f(x)-13*x-1) ogf] A099003 8.19512 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=16} ogf] A099012 10.2568 [9*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A099012 16.3554 [-x/(9*x^2+3*x-1) ogf] A099012 16.5484 [1/18/x*(-1-3*x+(1+6*x+45*x^2)^(1/2)) revogf] A099012 24.8226 [-3*(1+6*x)/(9*x^2-1+3*x) lgdogf] A099012 7.47099 [{-a(n+2)+3*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A099013 13.5871 [x/(x-1)/(9*x^2+3*x-1) ogf] A099013 16.7226 [-(9*x+2)*(3*x-2)/(x-1)/(9*x^2+3*x-1) lgdogf] A099013 5.50830 [{-a(n+3)+4*a(n+2)+6*a(n+1)-9*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A099013 5.87905 [-(21*f(x)+4)*(9*f(x)*x^3-6*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A099014 4.69593 [(25*f(x)+7)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)-x) ogf] A099014 8.61992 [-x*(x^2-2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A099014 9.11353 [-(5+10*x-3*x^4-16*x^3+2*x^5+6*x^2)/(x^2+4*x-1)/(x^2-2*x-1)/(x^2-x-1) lgdogf] A099015 4.32561 [-(610*f(x)-209)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+4*x^2+f(x)+x-1) ogf] A099015 8.58852 [-(4*x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A099015 8.78887 [-(x+1)*(8*x^4+7*x^3-5*x^2+2*x+2)/(4*x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A099016 11.5750 [-(2*x^2-1)/(x+1)/(x^2-3*x+1) ogf] A099016 15.3916 [-(2+x^2+2*x^4)/(x+1)/(x^2-3*x+1)/(2*x^2-1) lgdogf] A099016 5.89086 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A099016 6.16614 [(f(x)-1)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A099018 14.9653 [1/2*ln(x+1)+arctanh((3*x+4)^(1/2))-arctanh(2) revegf] A099018 15.2676 [-2*(x-2)/(x-1)/(2*x-1) ogf] A099018 19.2411 [-(5-8*x+2*x^2)/(x-1)/(-2+x)/(2*x-1) lgdogf] A099018 4.8584 [(17*f(x)+47)*(2*f(x)*x^2-3*f(x)*x+f(x)-x-1) ogf] A099018 8.27761 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=4,a(1)=10} ogf] A099021 12.3713 [-7+7*x+7*x^2+(5-26*x+30*x^2)*f(x)+(2-8*x+8*x^2)*f(x)^2 lgdegf] A099021 3.40016 [{(-n^2-5*n-6)*a(n+1)+(-4*n^2-21*n-27)*a(n+2)+(4*n+13)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=24} ogf] A099025 17.7032 [-(-4-8*x+3*x^2)/(x+1)/(x^2-5*x+1) lgdogf] A099025 19.4119 [1/(x+1)/(x^2-5*x+1) ogf] A099025 6.35610 [{a(n+3)-4*a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A099025 7.1824 [(39*f(x)+1)*(f(x)*x^3-4*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A099035 11.9332 [(2*x^2-1)/(x-1)/(2*x-1)^2 ogf] A099035 14.8161 [-(5-10*x+4*x^3+2*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A099035 6.01942 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A099035 8.00228 [4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-2*x^2-f(x)+1 ogf] A099036 11.4199 [(x-1)^2/(2*x-1)/(x^2+x-1) ogf] A099036 16.2560 [-(1+x+2*x^3-6*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A099036 6.21977 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A099036 6.9591 [(11*f(x)+13)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1) ogf] A099038 15.8471 [-(-1+3*x+2*x^3-9*x^2)/(3*x^2+1-2*x+x^4-6*x^3) lgdogf] A099038 7.31183 [-f(x)^2*x^4+6*f(x)^2*x^3-3*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A099041 13.3478 [-2*(3-5*x+x^2)/(-1+x)/(x-2)/(2*x-1) lgdogf] A099041 4.20953 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=8,a(1)=24,a(2)=58} ogf] A099041 6.96187 [(71*f(x)-407)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+4*x+1) ogf] A099041 7.86698 [-2*(x-2)^2/(2*x-1)/(x-1)^2 ogf] A099044 15.1926 [2*(-1+2*(1-12*x)^(1/2))/(16*x-1)/(-1+12*x) lgdogf] A099044 6.70178 [{(-12*n-6)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=2} ogf] A099044 9.09551 [-36*f(x)^2*x+3*f(x)^2+48*f(x)*x-4*f(x)-16*x+1 ogf] A099045 14.7923 [1/(18*x-1)*(-1+3*(1-16*x)^(1/2))/(-1+16*x) lgdogf] A099045 6.52634 [{(-16*n-8)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=2} ogf] A099045 7.91318 [-32*f(x)^2*x+2*f(x)^2+48*f(x)*x-3*f(x)-18*x+1 ogf] A099046 12.1423 [2*(-1+4*(1-20*x)^(1/2))/(64*x-3)/(-1+20*x) lgdogf] A099046 5.31950 [{(-20*n-10)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=2} ogf] A099046 8.22288 [-100*f(x)^2*x+5*f(x)^2+160*f(x)*x-8*f(x)-64*x+3 ogf] A099048 17.4023 [-2*(7*x-16)/(x-1)^2 ogf] A099048 25.0657 [-(-16-x+(256+18*x)^(1/2))/(14+x) revogf] A099048 32.0841 [-(-25+7*x)/(x-1)/(7*x-16) lgdogf] A099048 9.18997 [(9*f(x)+337)*(f(x)*x^2-2*f(x)*x+f(x)+14*x-32) ogf] A099048 9.73699 [{-a(n+2)+2*a(n+1)-a(n),a(0)=32,a(1)=50} ogf] A099087 24.1765 [1/(2*x^2-2*x+1) ogf] A099087 37.4588 [-2*(2*x-1)/(2*x^2+1-2*x) lgdogf] A099087 9.72955 [{-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2} ogf] A099087 9.84967 [(f(x)-4)*(2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A099094 11.807 [-3*f(x)*x^3-3*f(x)*x^2+f(x)-1 ogf] A099094 18.8274 [-1/(3*x^3+3*x^2-1) ogf] A099094 23.6626 [-3*x*(3*x+2)/(-1+3*x^2+3*x^3) lgdogf] A099094 7.49047 [{-a(n+3)+3*a(n+1)+3*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A099098 11.0762 [(x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A099098 13.2493 [-(x+1)*(x^3+x^2-3*x-1)/(x^2+x-1)/(x^3+3*x^2+2*x-1) lgdogf] A099098 5.77476 [-(25*f(x)-33)*(f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2-f(x)-x+1) ogf] A099098 6.03256 [{-a(n+3)+2*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A099099 12.2097 [-(1-4*x+9*x^2-4*x^3+x^4)/(x-1)/(x^4-5*x^3+6*x^2-4*x+1) lgdogf] A099099 4.73987 [-(36*f(x)+5)*(f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A099099 8.74106 [-(x-1)^3/(x^4-5*x^3+6*x^2-4*x+1) ogf] A099100 10.2414 [{-a(n+2)+11*a(n+1)+a(n),a(0)=1,a(1)=8} ogf] A099100 18.4790 [(3*x-1)/(x^2+11*x-1) ogf] A099100 19.4807 [1/2/(-3+x)*(-1-11*x+(1+10*x+125*x^2)^(1/2)) revogf] A099100 23.2687 [-(3*x+4)*(x-2)/(-1+3*x)/(x^2+11*x-1) lgdogf] A099100 9.23953 [-(45*f(x)-13)*(f(x)*x^2+11*f(x)*x-f(x)-3*x+1) ogf] A099101 5.34254 [-(135*f(x)+1)*(f(x)*x^4+6*f(x)*x^3+5*f(x)*x^2-x^3-2*x^2-f(x)+1) ogf] A099101 9.09215 [-x*(-6-15*x-4*x^2+7*x^3+4*x^4+x^5)/(x+1)/(x^2+x-1)/(x^4+6*x^3+5*x^2-1) lgdogf] A099101 9.36880 [(x+1)*(x^2+x-1)/(x^4+6*x^3+5*x^2-1) ogf] A099110 10.3219 [-2*(4-17*x-3*x^2+48*x^3)/(-1+4*x)/(3*x-1)/(-1+2*x)/(x+1) lgdogf] A099110 11.5763 [-1/(4*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A099110 4.50679 [(13804307*f(x)-463104)*(24*f(x)*x^4-2*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A099111 7.26964 [-(-13+114*x-136*x^3+600*x^4-249*x^2)/(-1+4*x)/(3*x-1)/(2*x-1)/(5*x-1)/(1+x) lgdogf] A099111 8.84454 [1/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(x+1) ogf] A099131 7.33278 [-(x-1)^4/(x^5-4*x^4+10*x^3-10*x^2+5*x-1) ogf] A099131 9.75358 [-(-1+5*x-5*x^4+6*x^3-10*x^2+x^5)/(x-1)/(x^5-4*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A099132 7.16704 [-(x-1)^4/(x^6+x^5-5*x^4+10*x^3-10*x^2+5*x-1) ogf] A099132 9.28040 [-(2*x^2-x+1)*(x^4-2*x^3-4*x^2+4*x-1)/(x-1)/(x^6+x^5-5*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A099133 11.6013 [16*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A099133 18.3179 [-x/(16*x^2+4*x-1) ogf] A099133 19.0742 [1/32/x*(-4*x-1+(80*x^2+8*x+1)^(1/2)) revogf] A099133 27.4669 [-4*(1+8*x)/(16*x^2-1+4*x) lgdogf] A099133 8.48877 [{-a(n+2)+4*a(n+1)+16*a(n),a(0)=0,a(1)=1} ogf] A099134 15.1298 [-x/(19*x^2+2*x-1) ogf] A099134 15.7128 [1/38/x*(-2*x-1+(80*x^2+4*x+1)^(1/2)) revogf] A099134 21.7562 [-2*(1+19*x)/(19*x^2-1+2*x) lgdogf] A099134 7.01138 [{-a(n+2)+2*a(n+1)+19*a(n),a(0)=0,a(1)=1} ogf] A099134 9.58223 [-19*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A099135 5.72039 [-(5*x^15-4*x^14+3*x^13-17*x^12+15*x^11+3*x^10-5*x^9-9*x^8+7*x^7+4*x^6-x^5+x^3-x^2-x-1)/(x-1)^2 ogf] A099136 5.25205 [-(3*x^15+x^14-6*x^13-2*x^12+8*x^11-14*x^10+19*x^9-19*x^8+19*x^7-16*x^6+7*x^5+5*x^4-16*x^3+21*x^2-10*x-1)/(x-1)^2 ogf] A099138 14.4957 [1/144/x*(-1-6*x+(1+12*x+324*x^2)^(1/2)) revogf] A099138 15.1096 [-x/(6*x+1)/(12*x-1) ogf] A099138 19.4942 [-6*(1+24*x)/(6*x+1)/(-1+12*x) lgdogf] A099138 7.00202 [{-a(n+2)+6*a(n+1)+72*a(n),a(0)=0,a(1)=1} ogf] A099138 9.56943 [-72*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A099139 12.3245 [1/216/x*(-1-12*x+(1+24*x+576*x^2)^(1/2)) revogf] A099139 12.5370 [-x/(6*x+1)/(-1+18*x) ogf] A099139 16.9993 [-12*(1+18*x)/(6*x+1)/(18*x-1) lgdogf] A099139 5.96998 [{-a(n+2)+12*a(n+1)+108*a(n),a(0)=0,a(1)=1} ogf] A099139 8.08837 [-108*f(x)*x^2-12*f(x)*x+f(x)-x ogf] A099140 12.3416 [-(6*x-1)/(16*x^2-12*x+1) ogf] A099140 13.5304 [-2*(3-16*x+48*x^2)/(6*x-1)/(16*x^2-12*x+1) lgdogf] A099140 14.5712 [-1/4*(-1-12*x+(1+80*x^2)^(1/2))/(8*x+3) revogf] A099140 6.17079 [-(160*f(x)-79)*(16*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A099140 6.90542 [{a(n+2)-12*a(n+1)+16*a(n),a(0)=1,a(1)=6} ogf] A099141 11.6230 [-(7*x-1)/(25*x^2-14*x+1) ogf] A099141 13.0419 [-(7-50*x+175*x^2)/(7*x-1)/(25*x^2-14*x+1) lgdogf] A099141 5.93783 [-(48*f(x)+1)*(25*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A099141 6.50333 [{a(n+2)-14*a(n+1)+25*a(n),a(0)=1,a(1)=7} ogf] A099142 10.6697 [-(8*x-1)/(36*x^2-16*x+1) ogf] A099142 11.6701 [-8*(1-9*x+36*x^2)/(-1+8*x)/(36*x^2-16*x+1) lgdogf] A099142 5.27872 [-(385*f(x)-129)*(36*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A099142 5.96998 [{a(n+2)-16*a(n+1)+36*a(n),a(0)=1,a(1)=8} ogf] A099150 7.50544 [(459*f(x)+1130)*(10*f(x)*x^2-11*f(x)*x+f(x)-10*x-8) ogf] A099151 8.53135 [(549*f(x)+736)*(10*f(x)*x^2-11*f(x)*x+f(x)-4*x-5) ogf] A099156 10.3204 [-4*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A099156 13.6311 [-1/8*(-1-8*x+(4*x+1)^(1/2)*(1+12*x)^(1/2))/x revogf] A099156 18.4516 [x/(4*x^2-8*x+1) ogf] A099156 27.2623 [-8*(x-1)/(4*x^2+1-8*x) lgdogf] A099156 7.51733 [{a(n+2)-8*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A099157 12.1618 [-1/32*(-1-12*x+(4*x+1)^(1/2)*(1+20*x)^(1/2))/x revogf] A099157 16.2365 [x/(16*x^2-12*x+1) ogf] A099157 20.7201 [-4*(-3+8*x)/(16*x^2+1-12*x) lgdogf] A099157 6.84671 [{a(n+2)-12*a(n+1)+16*a(n),a(0)=0,a(1)=1} ogf] A099157 9.31601 [-16*f(x)*x^2+12*f(x)*x-f(x)+x ogf] A099158 10.9960 [-1/50*(-1-14*x+(4*x+1)^(1/2)*(24*x+1)^(1/2))/x revogf] A099158 14.6996 [x/(25*x^2-14*x+1) ogf] A099158 18.0648 [-2*(-7+25*x)/(25*x^2+1-14*x) lgdogf] A099158 6.19863 [{a(n+2)-14*a(n+1)+25*a(n),a(0)=0,a(1)=1} ogf] A099158 8.4342 [-25*f(x)*x^2+14*f(x)*x-f(x)+x ogf] A099159 10.9141 [(x-1)*(2*x-1)/(3*x-1)/(x^2+x-1) ogf] A099159 11.4487 [-(-1+6*x^4-18*x^3+11*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x^2+x-1) lgdogf] A099159 5.69025 [-(79*f(x)+11)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A099159 5.94429 [{-a(n+3)+4*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A099163 13.1156 [-(2*x^2-1)/(2*x-1)/(x^2-x-1) ogf] A099163 15.2809 [-(1+2*x+4*x^4-4*x^2)/(2*x-1)/(2*x^2-1)/(x^2-x-1) lgdogf] A099163 6.67489 [{-a(n+3)+a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A099163 6.73503 [-(3*f(x)+2)*(2*f(x)*x^3-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-1) ogf] A099164 10.9681 [-(x^2+2*x-1)/(3*x-1)/(x^2+x-1) ogf] A099164 11.9249 [-(2-6*x+3*x^4+12*x^3-x^2)/(3*x-1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A099164 5.71842 [-(29*f(x)-14)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)+2*x-1) ogf] A099164 5.97371 [{a(n+3)-4*a(n+2)+2*a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A099166 11.8147 [(x^2+1)/(2*x-1)/(x^2+x-1) ogf] A099166 14.9962 [-(-3+9*x^2+2*x^4)/(-1+2*x)/(x^2+1)/(x^2+x-1) lgdogf] A099166 6.01284 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A099166 6.2938 [(f(x)-1)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)-1) ogf] A099167 11.7177 [(x^2+1)/(3*x-1)/(x^2+x-1) ogf] A099167 13.6433 [-(-4+2*x+3*x^4+13*x^2)/(3*x-1)/(x^2+1)/(x^2+x-1) lgdogf] A099167 5.91071 [(3605*f(x)-2068)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-x^2+f(x)-1) ogf] A099167 5.91071 [{-a(n+3)+4*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A099171 4.58516 [-f(x)^2*x^4+f(x)^2*x^3+2*f(x)^2*x^2-2*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2-f(x)+2*x ogf] A099176 5.01083 [-(5*f(x)+1)*(4*f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A099176 8.94673 [-(1+4*x+20*x^4-8*x^3+16*x^5-12*x^2)/(2*x-1)/(x+1)/(2*x^2-1)/(2*x^2+2*x-1) lgdogf] A099176 9.65855 [-(x+1)*(2*x-1)/(2*x^2-1)/(2*x^2+2*x-1) ogf] A099177 12.5115 [x/(2*x^2-1)/(2*x^2+2*x-1) ogf] A099177 13.8960 [-2*(-1-4*x+8*x^3+6*x^2)/(2*x^2-1)/(2*x^2+2*x-1) lgdogf] A099177 5.6676 [(4*f(x)-1)*(4*f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A099193 18.4121 [-2*(x+7)/(-1+x)/(x+1) lgdogf] A099193 36.6813 [[14-6*x] ogf_with_Euler_transform] A099193 5.61689 [x*(x+1)^6/(x-1)^8 ogf] A099193 6.03296 [{(n+2)*a(n+3)-14*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=14} ogf] A099195 19.5719 [-2*(x+8)/(-1+x)/(x+1) lgdogf] A099195 37.2586 [[16-7*x] ogf_with_Euler_transform] A099195 5.01571 [-x*(x+1)^7/(x-1)^9 ogf] A099195 6.13031 [{(n+2)*a(n+3)-16*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=16} ogf] A099196 20.7317 [-2*(x+9)/(-1+x)/(x+1) lgdogf] A099196 37.3464 [[18-8*x] ogf_with_Euler_transform] A099196 4.39097 [x*(x+1)^8/(x-1)^10 ogf] A099196 6.14736 [{(n+2)*a(n+3)-18*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=18} ogf] A099197 3.69371 [-x*(x+1)^9/(x-1)^11 ogf] A099197 35.1396 [-2*(x+10)/(-1+x)/(x+1) lgdogf] A099197 35.2055 [[20-9*x] ogf_with_Euler_transform] A099197 5.80050 [{(n+2)*a(n+3)-20*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=20} ogf] A099206 5.85354 [x*(2*x^11+2*x^9+2*x^8+x^7+2*x^6+x^5+x^4+x^3-x^2-x-1)/(x^9+x^6+2*x^3-1) ogf] A099211 18.3789 [-1/(4*x^3-2*x-1) ogf] A099211 23.2700 [-2*(-1+6*x^2)/(-1-2*x+4*x^3) lgdogf] A099211 6.45217 [{-a(n+3)-2*a(n+2)+4*a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A099211 7.4877 [(f(x)+2)*(4*f(x)*x^3-2*f(x)*x-f(x)+1) ogf] A099212 11.9808 [-(2*x+1)/(4*x^3-2*x-1) ogf] A099212 16.1207 [-4*x^2*(4*x+3)/(1+2*x)/(4*x^3-2*x-1) lgdogf] A099212 5.86017 [{-a(n+3)-2*a(n+2)+4*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A099212 8.55771 [4*f(x)*x^3-2*f(x)*x-f(x)+2*x+1 ogf] A099213 12.2821 [(x-1)*(x+1)/(3*x^3+x^2+x-1) ogf] A099213 14.9178 [-(-1+3*x^4-10*x^2)/(x-1)/(x+1)/(3*x^3+x^2+x-1) lgdogf] A099213 6.25071 [{a(n+3)-a(n+2)-a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A099213 7.0715 [f(x)*(3*f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+1) ogf] A099214 12.2179 [-2*(-1+4*x+8*x^3-10*x^2)/(2*x-1)/(4*x^3-4*x^2+4*x-1) lgdogf] A099214 12.2332 [(2*x-1)/(4*x^3-4*x^2+4*x-1) ogf] A099214 5.78895 [{a(n+3)-4*a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A099214 6.05945 [-(f(x)-1)*(4*f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A099215 12.6237 [(2*x-1)/(3*x-1)/(x^2-x+1) ogf] A099215 13.3851 [-(-2+8*x+12*x^3-17*x^2)/(3*x-1)/(2*x-1)/(x^2-x+1) lgdogf] A099215 5.97371 [{a(n+3)-4*a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A099215 6.25285 [-(f(x)+3)*(3*f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A099216 12.0640 [(2*x-1)/(2*x^3-4*x^2+4*x-1) ogf] A099216 12.5242 [-2*(x-1)*(4*x^2-3*x+1)/(2*x-1)/(2*x^3-4*x^2+4*x-1) lgdogf] A099216 5.70887 [{a(n+3)-4*a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A099216 7.89373 [-2*f(x)*x^3+4*f(x)*x^2-4*f(x)*x+f(x)+2*x-1 ogf] A099232 15.9490 [x/(x-1)/(3*x^2+x-1) ogf] A099232 21.4364 [-(-2-4*x+9*x^2)/(x-1)/(3*x^2+x-1) lgdogf] A099232 6.46580 [{-a(n+3)+2*a(n+2)+2*a(n+1)-3*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A099232 6.96799 [-(2*f(x)+1)*(3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A099234 13.4648 [-1/(x^4+3*x^3+3*x^2+x-1) ogf] A099234 17.0118 [-(4*x+1)*(x+1)^2/(3*x^2-1+x+x^4+3*x^3) lgdogf] A099234 5.54434 [(23*f(x)-14)*(f(x)*x^4+3*f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)+1) ogf] A099235 11.1461 [-1/(x^2+x+1)/(x^3+3*x^2+2*x-1) ogf] A099235 14.1431 [-(5*x+1)*(x+1)^3/(x^2+x+1)/(x^3+3*x^2+2*x-1) lgdogf] A099242 7.64626 [-(-7+30*x-60*x^2+60*x^3-30*x^4+6*x^5)/(15*x^2+1-7*x+15*x^4-20*x^3+x^6-6*x^5) lgdogf] A099242 8.72765 [1/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-7*x+1) ogf] A099247 5.00801 [-(x^31-x^30+x^29+2*x^28+4*x^27+7*x^26-13*x^25-x^24+x^10-x^9+x^8+x^7-x^6-x^5+x^3-x^2-1)/(x-1)^2 ogf] A099250 23.1158 [x*(1+x)/(x^2+x+1)/(2*x+1)^2 revogf] A099251 8.56302 [1-6*x+9*x^2+(-1+13*x-39*x^2+27*x^3)*f(x)+(22*x^2-2*x-38*x^3+18*x^4)*f(x)^2 lgdogf] A099252 3.81663 [{(18*n^3+135*n^2+333*n+270)*a(n+1)+(-20*n^3-162*n^2-433*n-381)*a(n+2)+(2*n^3+19*n^2+58*n+56)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A099253 6.58092 [-(8-42*x+7*x^6-42*x^5+105*x^4-140*x^3+105*x^2)/(-21*x^2-1+8*x-35*x^4+35*x^3-7*x^6+21*x^5+x^7) lgdogf] A099253 8.55329 [-1/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A099254 15.6518 [1/(x^2-x+1)^2 ogf] A099254 21.2610 [2*x^5-2*x^2-2*x+2 ogf_with_Euler_transform] A099254 4.69555 [{(-n-3)*a(n+3)+(4+n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=2,a(2)=1} ogf] A099254 40.6027 [-2*(2*x-1)/(x^2+1-x) lgdogf] A099254 6.46177 [f(x)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A099255 11.6878 [-(3*x^3+6*x^2-6*x-7)/(x^2+x-1)/(x^2-x-1) ogf] A099255 6.78309 [-(6400*f(x)-16963)*(f(x)*x^4-3*f(x)*x^2+3*x^3+6*x^2+f(x)-6*x-7) ogf] A099255 9.20213 [-(6+30*x+3*x^6+12*x^5-9*x^4-28*x^3+9*x^2)/(x^2+x-1)/(x^2-x-1)/(3*x^3+6*x^2-6*x-7) lgdogf] A099256 12.6549 [-(8+18*x+x^6+21*x^2-12*x^3-21*x^4)/(x-3)/(x^2+3*x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A099256 16.2440 [-(x-3)*(x^2+3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A099256 9.25909 [(6400*f(x)-26287)*(f(x)*x^4-3*f(x)*x^2+x^3+f(x)-8*x-3) ogf] A099262 3.45309 [-(531*x^5-881*x^4+535*x^3-151*x^2+20*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A099263 3.95856 [-(3641*x^6-6583*x^5+4566*x^4-1579*x^3+290*x^2-27*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1) ogf] A099265 5.50190 [-(3-53*x+1140*x^6+376*x^2-1368*x^3+2699*x^4-2749*x^5)/(x-1)/(3*x-1)/(-1+2*x)/(5*x-1)/(19*x^3-24*x^2+9*x-1) lgdogf] A099265 6.40584 [(19*x^3-24*x^2+9*x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(x-1)^2 ogf] A099266 5.30621 [(91*x^4-135*x^3+68*x^2-14*x+1)/(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1)/(x-1)^2 ogf] A099269 2.70805 [-(7051*f(x)-999)*(18*f(x)*x^3-4*f(x)*x^2-7*f(x)*x+f(x)+3*x-1) ogf] A099269 5.46625 [-2*(2+4*x+54*x^3-33*x^2)/(-1+3*x)/(18*x^3-4*x^2-7*x+1) lgdogf] A099269 5.66685 [-(3*x-1)/(18*x^3-4*x^2-7*x+1) ogf] A099270 11.6899 [-2*(x-3)*(x^2-5*x-2)/(x-1)/(1+x)/(x^2-14*x+1) lgdogf] A099270 4.69051 [{a(n+3)-13*a(n+2)-13*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A099270 4.86108 [(12*f(x)+1)*(f(x)*x^3-13*f(x)*x^2-13*f(x)*x+x^2+f(x)-x) ogf] A099270 9.06302 [-x*(x-1)/(x+1)/(x^2-14*x+1) ogf] A099271 11.2002 [-(13+28*x-17*x^2+2*x^3)/(x-1)/(x+1)/(x^2-15*x+1) lgdogf] A099271 4.79193 [{a(n+3)-14*a(n+2)-14*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=13} ogf] A099271 4.96618 [(13*f(x)+1)*(f(x)*x^3-14*f(x)*x^2-14*f(x)*x+x^2+f(x)-x) ogf] A099271 9.25898 [-x*(x-1)/(x+1)/(x^2-15*x+1) ogf] A099272 11.6230 [-2*(7+15*x-9*x^2+x^3)/(-1+x)/(x+1)/(x^2-16*x+1) lgdogf] A099272 12.0337 [-x*(x-1)/(x+1)/(x^2-16*x+1) ogf] A099272 6.22796 [{a(n+3)-15*a(n+2)-15*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=14} ogf] A099272 6.45444 [(14*f(x)+1)*(f(x)*x^3-15*f(x)*x^2-15*f(x)*x+x^2+f(x)-x) ogf] A099273 10.2114 [-(15+32*x+2*x^3-19*x^2)/(x-1)/(x+1)/(x^2-17*x+1) lgdogf] A099273 4.37408 [{a(n+3)-16*a(n+2)-16*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=15} ogf] A099273 4.53314 [(15*f(x)+1)*(f(x)*x^3-16*f(x)*x^2-16*f(x)*x+x^2+f(x)-x) ogf] A099273 8.45161 [-x*(x-1)/(x+1)/(x^2-17*x+1) ogf] A099275 10.5655 [-(17+36*x+2*x^3-21*x^2)/(x-1)/(x+1)/(x^2-19*x+1) lgdogf] A099275 4.52319 [{a(n+3)-18*a(n+2)-18*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=17} ogf] A099275 4.68768 [(17*f(x)+1)*(f(x)*x^3-18*f(x)*x^2-18*f(x)*x+x^2+f(x)-x) ogf] A099275 8.73973 [-x*(x-1)/(x+1)/(x^2-19*x+1) ogf] A099276 10.9109 [-2*(9+19*x+x^3-11*x^2)/(x-1)/(1+x)/(x^2-20*x+1) lgdogf] A099276 4.57290 [{a(n+3)-19*a(n+2)-19*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=18} ogf] A099276 4.73919 [(18*f(x)+1)*(f(x)*x^3-19*f(x)*x^2-19*f(x)*x+x^2+f(x)-x) ogf] A099276 8.83578 [-x*(x-1)/(x+1)/(x^2-20*x+1) ogf] A099277 10.8016 [-(19+40*x+2*x^3-23*x^2)/(x-1)/(1+x)/(x^2-21*x+1) lgdogf] A099277 4.62261 [{a(n+3)-20*a(n+2)-20*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=19} ogf] A099277 4.79071 [(19*f(x)+1)*(f(x)*x^3-20*f(x)*x^2-20*f(x)*x+x^2+f(x)-x) ogf] A099277 8.93181 [-x*(x-1)/(x+1)/(x^2-21*x+1) ogf] A099278 11.0377 [-2*(10+21*x-12*x^2+x^3)/(x-1)/(x+1)/(x^2-22*x+1) lgdogf] A099278 4.72202 [{a(n+3)-21*a(n+2)-21*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=20} ogf] A099278 4.89373 [(20*f(x)+1)*(f(x)*x^3-21*f(x)*x^2-21*f(x)*x+x^2+f(x)-x) ogf] A099278 9.12390 [-x*(x-1)/(x+1)/(x^2-22*x+1) ogf] A099279 10.5492 [-2*(8+17*x+x^3-10*x^2)/(x-1)/(x+1)/(x^2-18*x+1) lgdogf] A099279 4.42378 [{a(n+3)-17*a(n+2)-17*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A099279 6.72678 [(16*f(x)+1)*(f(x)*x^3-17*f(x)*x^2-17*f(x)*x+x^2+f(x)-x) ogf] A099279 8.54764 [-x*(x-1)/(x+1)/(x^2-18*x+1) ogf] A099322 4.50778 [(259*f(x)-59)*(8*f(x)*x^4-16*f(x)*x^3+f(x)*x^2+7*f(x)*x-x^2-f(x)+x) ogf] A099322 8.81065 [x*(x-1)/(8*x^2-8*x+1)/(x^2-x-1) ogf] A099322 9.53950 [-(-6-2*x+49*x^2-64*x^3+24*x^4)/(x-1)/(1-8*x+8*x^2)/(x^2-x-1) lgdogf] A099323 10.7769 [f(x)^2*x-f(x)^2-f(x)*x+f(x)+x ogf] A099323 6.90101 [{3*a(n)*n-2*a(n+1)*n+(-n-2)*a(n+2),a(0)=1,a(1)=1} ogf] A099324 12.9261 [-1/2*(x+1+(4*x+1)^(1/2)*x-(4*x+1)^(1/2))/(4*x+1)^(1/2)/x/(x+1) lgdogf] A099324 5.13005 [{(4*n+6)*a(n+1)+(5*n+9)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=0,a(2)=-1} ogf] A099324 8.39974 [f(x)^2*x^2+2*f(x)^2*x+f(x)^2-f(x)*x-f(x)-x ogf] A099325 10.6497 [1/2*(-8*x^2-6*x-1+(-(2*x-1)*(2*x+1))^(1/2))/x/(2*x+1)/(2*x-1) lgdogf] A099325 5.18151 [-8*f(x)^2*x^3+12*f(x)^2*x^2-6*f(x)^2*x-4*f(x)*x^2+f(x)^2+4*f(x)*x-f(x)-x ogf] A099325 8.66172 [-1/3*x*(HeunG(27/112,-27/56,-1/3,1/3,3/2,1/2,-27/4*x)-4-12*x)/(1+4*x+8*x^2) revogf] A099326 4.34204 [16*f(x)^2*x^4-32*f(x)^2*x^3+24*f(x)^2*x^2-8*f(x)^2*x-4*f(x)*x^2+f(x)^2+4*f(x)*x+x^2-f(x) ogf] A099327 9.66896 [-15-16*x-8*x^2+(3+4*x-12*x^2-16*x^3)*f(x)+(2*x^2-8*x^4+4*x^3-x)*f(x)^2 lgdogf] A099328 6.66379 [-2*x*(1+3*x^9-2*x^8-x^7+3*x^6-7*x^5+3*x^4+x^3+3*x^2-2*x)/(x+1)/(2*x^3-2*x^2+2*x-1)/(x^3+x^2+x-1)/(x^4-2*x^3-1) lgdogf] A099328 7.95956 [-(x+1)*(2*x^3-2*x^2+2*x-1)/(x^3+x^2+x-1)/(x^4-2*x^3-1) ogf] A099329 6.98963 [-x^2*(x^3-x^2-1)/(x^3+x^2+x-1)/(x^4-2*x^3-1) ogf] A099329 7.13047 [-(1+4*x+4*x^9-8*x^8+5*x^4+14*x^3+2*x^7-7*x^6+12*x^5-7*x^2)/(x^3-x^2-1)/(x^3+x^2+x-1)/(x^4-2*x^3-1) lgdogf] A099330 7.27787 [x*(x^3-x+1)/(x^3+x^2+x-1)/(x^4-2*x^3-1) ogf] A099330 7.76429 [-x*(-2+4*x^8-3*x^7+5*x^3-12*x^2-8*x^6+9*x^5-2*x^4+x)/(x^3-x+1)/(x^3+x^2+x-1)/(x^4-2*x^3-1) lgdogf] A099331 7.32910 [x^3*(x^2-x+2)/(x^3+x^2+x-1)/(x^4-2*x^3-1) ogf] A099331 8.46698 [-(-1-6*x+16*x^6-14*x^5-26*x^3+5*x^8-10*x^7+8*x^2)/(x^2-x+2)/(x^3+x^2+x-1)/(x^4-2*x^3-1) lgdogf] A099359 4.31942 [-(108159*f(x)+143093)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2+88*x^3-15*f(x)*x-168*x^2+f(x)+65*x-6) ogf] A099359 8.03612 [-(88*x^3-168*x^2+65*x-6)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A099360 4.72202 [-(3136*x^4-5624*x^3+2514*x^2-355*x+14)/(16*x-1)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A099363 10.3575 [f(x)^2*x^3-2*f(x)*x^2-f(x)*x+f(x)+2*x-1 ogf] A099363 18.6231 [-1/2*(-1-x+(-(4*x-1)*(x-1)^2)^(1/2))/(x^2+2-2*x) revogf] A099364 15.4284 [-2*(-x-1+2*x^2+(-(2*x-1)*(1+2*x))^(1/2))/x/(1+2*x)/(2*x-1) lgdogf] A099364 7.85311 [-f(x)^2*x^4+4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-4*x^2+f(x)+4*x-1 ogf] A099365 11.5689 [-(25+52*x+2*x^3-29*x^2)/(x-1)/(x+1)/(x^2-27*x+1) lgdogf] A099365 4.94569 [{a(n+3)-26*a(n+2)-26*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=25} ogf] A099365 5.12554 [(25*f(x)+1)*(f(x)*x^3-26*f(x)*x^2-26*f(x)*x+x^2+f(x)-x) ogf] A099365 9.55608 [-x*(x-1)/(x+1)/(x^2-27*x+1) ogf] A099366 10.9748 [-2*(18+37*x-20*x^2+x^3)/(x-1)/(x+1)/(x^2-38*x+1) lgdogf] A099366 4.69395 [{a(n+3)-37*a(n+2)-37*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=36} ogf] A099366 4.86463 [(36*f(x)+1)*(f(x)*x^3-37*f(x)*x^2-37*f(x)*x+x^2+f(x)-x) ogf] A099366 9.06966 [-x*(x-1)/(x+1)/(x^2-38*x+1) ogf] A099367 11.4864 [-(49+100*x+2*x^3-53*x^2)/(x-1)/(x+1)/(x^2-51*x+1) lgdogf] A099367 5.01012 [{a(n+3)-50*a(n+2)-50*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=49} ogf] A099367 5.1923 [(49*f(x)+1)*(f(x)*x^3-50*f(x)*x^2-50*f(x)*x+x^2+f(x)-x) ogf] A099367 9.68058 [-x*(x-1)/(x+1)/(x^2-51*x+1) ogf] A099368 11.8117 [-(51*x-2)/(x^2-51*x+1) ogf] A099368 13.6080 [-1/2*(-2-51*x+(4+2597*x^2)^(1/2))/(x+51) revogf] A099368 14.3242 [-(51-4*x+51*x^2)/(51*x-2)/(x^2-51*x+1) lgdogf] A099368 5.7232 [-(2597*f(x)-2593)*(f(x)*x^2-51*f(x)*x+f(x)+51*x-2) ogf] A099368 6.60893 [{a(n+2)-51*a(n+1)+a(n),a(0)=2,a(1)=51} ogf] A099369 10.6065 [-2*(32+65*x-34*x^2+x^3)/(x-1)/(x+1)/(x^2-66*x+1) lgdogf] A099369 4.53718 [{a(n+3)-65*a(n+2)-65*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=64} ogf] A099369 4.70216 [(64*f(x)+1)*(f(x)*x^3-65*f(x)*x^2-65*f(x)*x+x^2+f(x)-x) ogf] A099369 8.76675 [-x*(x-1)/(x+1)/(x^2-66*x+1) ogf] A099370 10.4439 [-(33*x-1)/(x^2-66*x+1) ogf] A099370 12.6397 [-(33-2*x+33*x^2)/(33*x-1)/(x^2-66*x+1) lgdogf] A099370 5.06046 [-(2176*f(x)-1087)*(f(x)*x^2-66*f(x)*x+f(x)+33*x-1) ogf] A099370 5.84363 [{a(n+2)-66*a(n+1)+a(n),a(0)=1,a(1)=33} ogf] A099371 12.3642 [-f(x)*x^2-9*f(x)*x+f(x)-x ogf] A099371 15.7883 [-x/(x^2+9*x-1) ogf] A099371 15.9772 [1/2/x*(-1-9*x+(1+18*x+85*x^2)^(1/2)) revogf] A099371 28.7590 [-(9+2*x)/(x^2-1+9*x) lgdogf] A099371 7.21194 [{-a(n+2)+9*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A099372 4.02804 [{a(n+3)-82*a(n+2)-82*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=81} ogf] A099372 6.64517 [(81*f(x)+1)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x+x^2+f(x)-x) ogf] A099372 7.78298 [-x*(x-1)/(x+1)/(x^2-83*x+1) ogf] A099372 9.20978 [-(81+164*x+2*x^3-85*x^2)/(x-1)/(x+1)/(x^2-83*x+1) lgdogf] A099373 11.4073 [-(83-4*x+83*x^2)/(83*x-2)/(x^2-83*x+1) lgdogf] A099373 5.28257 [{a(n+2)-83*a(n+1)+a(n),a(0)=2,a(1)=83} ogf] A099373 7.34593 [-(6885*f(x)-6881)*(f(x)*x^2-83*f(x)*x+f(x)+83*x-2) ogf] A099373 9.44119 [-(83*x-2)/(x^2-83*x+1) ogf] A099374 3.50762 [{a(n+3)-101*a(n+2)-101*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=100} ogf] A099374 3.63179 [(100*f(x)+1)*(f(x)*x^3-101*f(x)*x^2-101*f(x)*x+x^2+f(x)-x) ogf] A099374 6.72774 [-x*(x-1)/(x+1)/(x^2-102*x+1) ogf] A099374 7.89602 [-2*(50+101*x+x^3-52*x^2)/(-1+x)/(x+1)/(x^2-102*x+1) lgdogf] A099376 18.6305 [8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A099376 5.16085 [{(-4*n^2-18*n-20)*a(n+1)+(n^2+6*n+5)*a(n+2),a(0)=0,a(1)=1} ogf] A099376 8.10989 [f(x)^2*x^3-2*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A099392 12.0248 [-(x^3+x^2-x+1)/(x+1)/(x-1)^3 ogf] A099392 17.6903 [-(x^2+1)*(x^2+4*x+1)/(x-1)/(x+1)/(x^3+x^2-x+1) lgdogf] A099392 6.97234 [(5*f(x)-4)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+x^2-f(x)-x+1) ogf] A099393 5.28082 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A099393 5.32757 [(7*f(x)-39)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A099393 8.54307 [-(-5+32*x-66*x^2+32*x^3+16*x^4)/(x-1)/(-1+2*x)/(-1+4*x)/(2*x^2+2*x-1) lgdogf] A099393 9.70990 [(2*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A099397 11.1148 [-(51-2*x+51*x^2)/(51*x-1)/(x^2-102*x+1) lgdogf] A099397 4.52792 [-(5200*f(x)-2599)*(f(x)*x^2-102*f(x)*x+f(x)+51*x-1) ogf] A099397 5.22042 [{a(n+2)-102*a(n+1)+a(n),a(0)=1,a(1)=51} ogf] A099397 9.24450 [-(51*x-1)/(x^2-102*x+1) ogf] A099423 5.82435 [(x^5-x^4+1)*(x^10+x^8-2*x^4+1)/(x-1)/(x+1)/(x^2+1)/(2*x^4-1)/(2*x^8-2*x^4+1) ogf] A099425 15.9786 [-(x^2+1)/(x^2+2*x-1) ogf] A099425 19.6096 [2*(-1-2*x+x^2)/(x^2+1)/(x^2+2*x-1) lgdogf] A099425 7.67598 [{-a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A099425 8.41881 [-(2*f(x)-1)*(f(x)*x^2+2*f(x)*x+x^2-f(x)+1) ogf] A099428 6.06045 [-(-3-7*x+3*x^2)/(x-2)/(x^2+x-1) lgdogf] A099429 11.2496 [-x^2*(x-2)/(x+1)^2/(2*x-1)^2 ogf] A099429 20.2430 [-3*(-1-5*x+2*x^2)/(-2+x)/(2*x-1)/(x+1) lgdogf] A099429 4.46106 [{(-2*n^2-10*n-12)*a(n+1)+(-n^2-4*n-3)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A099429 5.79272 [-(15*f(x)+8)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)) ogf] A099430 11.4199 [(3*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A099430 11.6308 [-2*x*(-4+3*x^3-4*x^2+7*x)/(x-1)/(2*x-1)/(x+1)/(3*x^2-2*x+1) lgdogf] A099430 6.16472 [(81*f(x)+94)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A099430 6.27580 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=4} ogf] A099431 15.5727 [-12*x*(1+x^2-x)/(2*x-1)/(x+1)/(3*x^2-2*x+1) lgdogf] A099431 4.76405 [-(324*f(x)-2239)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-3*x^3-2*f(x)*x+2*x^2+f(x)-x) ogf] A099431 4.83211 [{a(n+4)-2*a(n+3)-3*a(n+2)+4*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=6} ogf] A099431 9.26707 [x*(3*x^2-2*x+1)/(x+1)^2/(2*x-1)^2 ogf] A099432 13.8370 [1/(3*x^2+3*x-1)^2 ogf] A099432 25.9984 [-6*(2*x+1)/(3*x^2-1+3*x) lgdogf] A099432 4.16016 [{(n+3)*a(n+3)+(-12-3*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=1,a(1)=6,a(2)=33} ogf] A099432 5.26037 [(397*f(x)+40)*(9*f(x)*x^4+18*f(x)*x^3+3*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A099443 13.7471 [(x^2+1)/(x^4-x^3+x^2-x+1) ogf] A099443 21.8648 [-(-1+2*x^5-2*x^2+4*x^3-x^4)/(x^2+1)/(x^4-x^3+x^2-x+1) lgdogf] A099443 24.1006 [x^9-x^4-x^3+1 ogf_with_Euler_transform] A099443 6.29268 [{-a(n+4)+a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A099443 8.67534 [f(x)*x^4-f(x)*x^3+f(x)*x^2-f(x)*x-x^2+f(x)-1 ogf] A099444 10.1513 [-(-3+4*x-6*x^2+4*x^3-3*x^4+2*x^5)/(x^2+1)/(x^4-3*x^3+3*x^2-3*x+1) lgdogf] A099444 10.3606 [(x^2+1)/(x^4-3*x^3+3*x^2-3*x+1) ogf] A099444 5.22044 [-(3*f(x)+2)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-3*f(x)*x-x^2+f(x)-1) ogf] A099445 10.3606 [-(x-1)*(x+1)*(x^2+1)/(x^4-3*x^3+3*x^2-3*x+1) ogf] A099445 5.18029 [-(22*f(x)+5)*(f(x)*x^4-3*f(x)*x^3+x^4+3*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A099445 8.04674 [-(3-6*x+9*x^2-8*x^3+9*x^4-6*x^5+3*x^6)/(x-1)/(x+1)/(x^2+1)/(x^4-3*x^3+3*x^2-3*x+1) lgdogf] A099446 10.0592 [-(-3+8*x-6*x^2+4*x^3-3*x^4+2*x^5)/(1+x^2)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A099446 4.6976 [-(17*f(x)-18)*(f(x)*x^4-3*f(x)*x^3+5*f(x)*x^2-3*f(x)*x-x^2+f(x)-1) ogf] A099446 9.46748 [(x^2+1)/(x^4-3*x^3+5*x^2-3*x+1) ogf] A099447 4.49752 [-(52*f(x)-63)*(f(x)*x^4-3*f(x)*x^3+x^4+5*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A099447 7.46784 [-(3-10*x+3*x^6-10*x^5-8*x^3+9*x^4+9*x^2)/(x-1)/(1+x)/(1+x^2)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A099447 9.06425 [-(x-1)*(x+1)*(x^2+1)/(x^4-3*x^3+5*x^2-3*x+1) ogf] A099448 10.0528 [(x^2+1)/(x^4-5*x^3+7*x^2-5*x+1) ogf] A099448 5.10494 [(251*f(x)+50)*(f(x)*x^4-5*f(x)*x^3+7*f(x)*x^2-5*f(x)*x-x^2+f(x)-1) ogf] A099448 9.56055 [-(-5+12*x+2*x^5-5*x^4+4*x^3-10*x^2)/(x^2+1)/(x^4-5*x^3+7*x^2-5*x+1) lgdogf] A099449 10.0033 [-(x-1)*(x+1)*(x^2+1)/(x^4-5*x^3+7*x^2-5*x+1) ogf] A099449 4.96346 [-(38*f(x)+25)*(f(x)*x^4-5*f(x)*x^3+x^4+7*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A099449 7.41091 [-(5-14*x+5*x^6-14*x^5+15*x^4-8*x^3+15*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-5*x^3+7*x^2-5*x+1) lgdogf] A099450 22.9588 [1/(7*x^2-5*x+1) ogf] A099450 32.4103 [-(-5+14*x)/(7*x^2+1-5*x) lgdogf] A099450 9.12821 [(11*f(x)+14)*(7*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A099450 9.23954 [{-a(n+2)+5*a(n+1)-7*a(n),a(0)=1,a(1)=5} ogf] A099451 12.2567 [(x^2+1)/(x^4-5*x^3+9*x^2-5*x+1) ogf] A099451 12.3521 [-(-5+16*x+2*x^5-10*x^2+4*x^3-5*x^4)/(x^2+1)/(x^4-5*x^3+9*x^2-5*x+1) lgdogf] A099451 6.2241 [(295*f(x)+98)*(f(x)*x^4-5*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-x^2+f(x)-1) ogf] A099452 12.2039 [-(x-1)*(x+1)*(x^2+1)/(x^4-5*x^3+9*x^2-5*x+1) ogf] A099452 6.05535 [-(12*f(x)-11)*(f(x)*x^4-5*f(x)*x^3+x^4+9*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A099452 9.58323 [-(5-18*x-18*x^5+5*x^6+15*x^2-8*x^3+15*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4-5*x^3+9*x^2-5*x+1) lgdogf] A099453 15.8729 [-1/22*(-1-7*x+(1+14*x+5*x^2)^(1/2))/x revogf] A099453 17.6371 [1/(11*x^2-7*x+1) ogf] A099453 23.4919 [-(-7+22*x)/(11*x^2+1-7*x) lgdogf] A099453 7.13884 [(27*f(x)+22)*(11*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A099453 7.22484 [{-a(n+2)+7*a(n+1)-11*a(n),a(0)=1,a(1)=7} ogf] A099454 4.50679 [(2663*f(x)+242)*(f(x)*x^4-7*f(x)*x^3+13*f(x)*x^2-7*f(x)*x-x^2+f(x)-1) ogf] A099454 8.50036 [-(-7+24*x-14*x^2+4*x^3-7*x^4+2*x^5)/(1+x^2)/(x^4-7*x^3+13*x^2-7*x+1) lgdogf] A099454 8.94529 [(x^2+1)/(x^4-7*x^3+13*x^2-7*x+1) ogf] A099455 4.40589 [-(696*f(x)-605)*(f(x)*x^4-7*f(x)*x^3+x^4+13*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A099455 6.64396 [-(7-26*x+7*x^6+21*x^2-8*x^3+21*x^4-26*x^5)/(x-1)/(x+1)/(1+x^2)/(x^4-7*x^3+13*x^2-7*x+1) lgdogf] A099455 8.94529 [-(x-1)*(x+1)*(x^2+1)/(x^4-7*x^3+13*x^2-7*x+1) ogf] A099456 18.2766 [1/(5*x^2-4*x+1) ogf] A099456 25.4580 [-2*(-2+5*x)/(5*x^2+1-4*x) lgdogf] A099456 7.35522 [{-a(n+2)+4*a(n+1)-5*a(n),a(0)=1,a(1)=4} ogf] A099456 7.44604 [(3*f(x)+5)*(5*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A099457 4.77255 [(13*f(x)+25)*(f(x)*x^4-4*f(x)*x^3+7*f(x)*x^2-4*f(x)*x-x^2+f(x)-1) ogf] A099457 9.32483 [(x^2+1)/(x^4-4*x^3+7*x^2-4*x+1) ogf] A099457 9.84288 [-2*(-2+6*x-4*x^2+2*x^3-2*x^4+x^5)/(1+x^2)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A099458 4.54971 [-(51*f(x)-50)*(f(x)*x^4-4*f(x)*x^3+x^4+7*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A099458 7.49625 [-2*(2-7*x+2*x^6+6*x^2-4*x^3+6*x^4-7*x^5)/(x-1)/(x+1)/(1+x^2)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A099458 9.16942 [-(x-1)*(x+1)*(x^2+1)/(x^4-4*x^3+7*x^2-4*x+1) ogf] A099459 13.1693 [-1/18*(-1-7*x+(1+x)^(1/2)*(1+13*x)^(1/2))/x revogf] A099459 17.5291 [1/(9*x^2-7*x+1) ogf] A099459 23.5950 [-(-7+18*x)/(9*x^2+1-7*x) lgdogf] A099459 6.96939 [(31*f(x)+18)*(9*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A099459 7.05438 [{-a(n+2)+7*a(n+1)-9*a(n),a(0)=1,a(1)=7} ogf] A099460 4.346 [(2107*f(x)+162)*(f(x)*x^4-7*f(x)*x^3+11*f(x)*x^2-7*f(x)*x-x^2+f(x)-1) ogf] A099460 8.19334 [-(-7+20*x+2*x^5+4*x^3-7*x^4-14*x^2)/(x^2+1)/(x^4-7*x^3+11*x^2-7*x+1) lgdogf] A099460 8.62614 [(x^2+1)/(x^4-7*x^3+11*x^2-7*x+1) ogf] A099461 12.9660 [-(7-22*x+7*x^6-22*x^5-8*x^3+21*x^4+21*x^2)/(x-1)/(1+x)/(x^2+1)/(x^4-7*x^3+11*x^2-7*x+1) lgdogf] A099461 17.2956 [-(x-1)*(x+1)*(x^2+1)/(x^4-7*x^3+11*x^2-7*x+1) ogf] A099461 8.64783 [-(18*f(x)+13)*(f(x)*x^4-7*f(x)*x^3+x^4+11*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A099462 17.0024 [-x/(4*x^3+4*x^2-1) ogf] A099462 23.8011 [-4*x*(3*x+2)/(-1+4*x^2+4*x^3) lgdogf] A099462 7.57717 [{-a(n+3)+4*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A099462 8.20117 [-(2*f(x)-3)*(4*f(x)*x^3+4*f(x)*x^2-f(x)+x) ogf] A099463 11.1461 [x*(x-1)/(x^3+x^2+3*x-1) ogf] A099463 16.0399 [-2*(-1-x-x^2+x^3)/(x-1)/(x^3+x^2+3*x-1) lgdogf] A099463 5.72369 [{-a(n+3)+3*a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A099463 7.47446 [f(x)*x^3+f(x)*x^2+3*f(x)*x-x^2-f(x)+x ogf] A099464 16.8832 [-(x-1)*(3*x-7)/(-5*x^2-1+7*x+x^3) lgdogf] A099464 18.6032 [-x/(x^3-5*x^2+7*x-1) ogf] A099464 6.87146 [{a(n+3)-7*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A099464 7.70437 [(7*f(x)+1)*(f(x)*x^3-5*f(x)*x^2+7*f(x)*x-f(x)+x) ogf] A099465 3.57622 [-3*f(x)*x^3-3*f(x)*x^2+f(x)-1 ogf] A099465 5.70262 [-1/(3*x^3+3*x^2-1) ogf] A099465 6.97676 [-3*x*(2+3*x)/(-1+3*x^2+3*x^3) lgdogf] A099470 14.0659 [-1/(x^2-x+1)^2 ogf] A099470 20.8035 [2*x^5-2*x^2-2*x+2 ogf_with_Euler_transform] A099470 4.59487 [{(n+3)*a(n+3)+(-4-n)*a(n+2)+(5+n)*a(n+1),a(0)=-1,a(1)=-2,a(2)=-1} ogf] A099470 40.2395 [-2*(2*x-1)/(x^2+1-x) lgdogf] A099470 6.09939 [-f(x)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+f(x)+1) ogf] A099471 21.3698 [-(2*x-1)*(x^2-x+3)/(x^2-x+1)/(x^2-x+2) lgdogf] A099471 4.9365 [-(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)+2*x-1) ogf] A099471 9.03956 [-(x^3-x^2+2*x-1)/(x^2-x+1)^2 ogf] A099479 11.1587 [x*(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A099479 13.1021 [-2*(1+2*x^6-x^5+4*x^4-2*x^3+2*x^2)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A099479 27.3029 [[x^5-x^3+2] ogf_with_Euler_transform] A099480 15.1414 [1/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A099480 17.4268 [-2*(1-x+3*x^4-2*x^3+2*x^2)/(x-1)/(1+x+x^2)/(x^2-x+1) lgdogf] A099480 31.7548 [[x^5-x+2] ogf_with_Euler_transform] A099483 14.0877 [x/(x^2+1)/(x^2-3*x+1) ogf] A099483 16.5901 [-(-3+4*x-9*x^2+4*x^3)/(1+x^2)/(x^2-3*x+1) lgdogf] A099483 5.61216 [-(54*f(x)+31)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-3*f(x)*x+f(x)-x) ogf] A099484 10.0531 [(x-1)^2/(x^2+1)/(x^2-3*x+1) ogf] A099484 13.6039 [-(1-x+9*x^2-7*x^3+2*x^4)/(x-1)/(1+x^2)/(x^2-3*x+1) lgdogf] A099484 5.10046 [-(503*f(x)+26)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1) ogf] A099485 10.7067 [-2*(-1+x-3*x^4+5*x^3+x^5-4*x^2)/(x^2-3*x+1)/(x^2+1-x)/(1+x^2) lgdogf] A099485 4.9003 [-(127*f(x)+28)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1) ogf] A099485 9.65855 [(x^2-x+1)/(x^2+1)/(x^2-3*x+1) ogf] A099486 13.1383 [x/(x^2+1)/(x^2-4*x+1) ogf] A099486 16.2595 [-4*(-1+x+x^3-3*x^2)/(1+x^2)/(x^2-4*x+1) lgdogf] A099486 5.36479 [(182*f(x)+11)*(f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A099487 4.75731 [-(1310*f(x)-9)*(f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-x^2+f(x)+3*x-1) ogf] A099487 9.32528 [-(-1+2*x-13*x^4+28*x^3-14*x^2+2*x^5)/(1+x^2)/(x^2-4*x+1)/(x^2-3*x+1) lgdogf] A099487 9.37674 [(x^2-3*x+1)/(x^2+1)/(x^2-4*x+1) ogf] A099488 13.6132 [-2*(1+x^4-4*x^3+6*x^2)/(x-1)/(x^2+1)/(x^2-4*x+1) lgdogf] A099488 4.89932 [-(208*f(x)+11)*(f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A099488 9.65664 [(x-1)^2/(x^2+1)/(x^2-4*x+1) ogf] A099489 10.5204 [-(x^2-2*x+3)*(2*x^3-3*x^2-1)/(1+x^2)/(x^2-x+1)/(x^2-4*x+1) lgdogf] A099489 4.71893 [(730*f(x)+81)*(f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-x^2+f(x)+x-1) ogf] A099489 9.02751 [(x^2-x+1)/(x^2+1)/(x^2-4*x+1) ogf] A099491 11.6531 [(x^2+1)^2/(x^6+2*x^4-x^3+2*x^2+1) ogf] A099491 16.4105 [-x^2*(6*x^3+2*x^5-3+4*x+x^2)/(x^2+1)/(x^6+2*x^4-x^3+2*x^2+1) lgdogf] A099492 11.1068 [(x^2+1)^2/(x^6+2*x^4-2*x^3+2*x^2+1) ogf] A099492 14.9537 [-2*x^2*(3*x^3+x^5-3+2*x+x^2)/(1+x^2)/(x^6+2*x^4-2*x^3+2*x^2+1) lgdogf] A099493 10.8668 [(x^2+1)^2/(x^6+x^4-2*x^3+x^2+1) ogf] A099493 14.9931 [-2*x*(-1+x^6-3*x+x^2+x^3+3*x^4)/(1+x^2)/(x^6+x^4-2*x^3+x^2+1) lgdogf] A099494 13.0741 [-x*(-2+6*x^4-3*x+2*x^2+x^3+2*x^6)/(x^2+x+1)/(x^4-x^3+x^2-x+1)/(1+x^2) lgdogf] A099494 14.7488 [x^9-x^4-2*x^3+x^2+x ogf_with_Euler_transform] A099494 8.64183 [(x^2+1)^2/(x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A099495 7.71030 [-(-1+4*x^7-11*x^6+16*x^5-16*x^4+10*x^3-8*x^2)/(1+x+x^2)/(x^2-x+1)/(x^4-3*x^3+3*x^2-3*x+1) lgdogf] A099495 7.82712 [x*(x^2-x+1)/(x^2+x+1)/(x^4-3*x^3+3*x^2-3*x+1) ogf] A099496 17.0816 [(x+1)/(x^2+3*x+1) ogf] A099496 20.6688 [-1/2*(-1+3*x+(1-2*x+5*x^2)^(1/2))/(x-1) revogf] A099496 26.8695 [-(2+2*x+x^2)/(x+1)/(x^2+3*x+1) lgdogf] A099496 8.93803 [(21*f(x)-5)*(f(x)*x^2+3*f(x)*x+f(x)-x-1) ogf] A099496 9.37404 [{-a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=-2} ogf] A099503 19.5498 [1/(x^3-4*x+1) ogf] A099503 27.4970 [-(-4+3*x^2)/(1-4*x+x^3) lgdogf] A099503 6.79099 [{-a(n+3)+4*a(n+2)-a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A099503 7.58994 [-(f(x)-1)*(f(x)*x^3-4*f(x)*x+f(x)-1) ogf] A099504 18.4526 [1/(x^3-5*x+1) ogf] A099504 25.9379 [-(-5+3*x^2)/(1-5*x+x^3) lgdogf] A099504 6.40984 [{-a(n+3)+5*a(n+2)-a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A099504 7.16395 [-(f(x)-1)*(f(x)*x^3-5*f(x)*x+f(x)-1) ogf] A099505 14.5111 [x/(x^6-x^4+2*x^3-x^2-x+1) ogf] A099505 18.8967 [-(-1-2*x+6*x^5+6*x^2-4*x^3)/(-x^2+1-x-x^4+2*x^3+x^6) lgdogf] A099508 13.3688 [x/(x-1)/(x^2+x-1)/(x^3+x+1) ogf] A099508 14.1704 [-(-1-4*x+6*x^5-4*x^3+6*x^2)/(x-1)/(x^2+x-1)/(x^3+x+1) lgdogf] A099511 12.2798 [-(3+2*x^5-5*x^4+9*x^2)/(x^2+x+1)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A099511 4.97381 [-(988*f(x)-59)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A099511 9.80343 [-(x^2-x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A099513 4.59831 [-(236127*f(x)-5044)*(f(x)*x^4-7*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A099513 9.39655 [-(x^2-2*x-1)/(x^4-7*x^3-x^2-2*x+1) ogf] A099513 9.77430 [-(4-13*x^4+24*x^3+2*x^5+25*x^2)/(x^2-2*x-1)/(x^4-7*x^3-x^2-2*x+1) lgdogf] A099515 10.5681 [-(2*x^2-1)/(4*x^4+3*x^3-3*x^2-2*x+1) ogf] A099515 5.16487 [-(333*f(x)+560)*(4*f(x)*x^4+3*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A099515 9.62086 [-(2+2*x+16*x^5+6*x^4-16*x^3-5*x^2)/(2*x^2-1)/(4*x^4+3*x^3-3*x^2-2*x+1) lgdogf] A099516 11.0338 [-2*(x-1)*(3*x^4+3*x^3-x^2+2*x+1)/(-x^2+1-2*x-2*x^4+2*x^3+x^6) lgdogf] A099516 11.9888 [x/(x^6-2*x^4+2*x^3-x^2-2*x+1) ogf] A099517 10.9128 [(x^3-x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A099517 8.89676 [-(-1+3*x^8-7*x^6+6*x^5+6*x^4-8*x^3+3*x^2)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1)/(x^3-x+1) lgdogf] A099524 18.6399 [-1/(x^3+5*x-1) ogf] A099524 26.2066 [-(5+3*x^2)/(-1+5*x+x^3) lgdogf] A099524 6.47492 [{-a(n+3)+5*a(n+2)+a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A099524 7.59404 [(f(x)-1)*(f(x)*x^3+5*f(x)*x-f(x)+1) ogf] A099525 23.5711 [-1/(3*x^3+2*x-1) ogf] A099525 26.8037 [-(2+9*x^2)/(-1+2*x+3*x^3) lgdogf] A099525 7.27194 [{-a(n+3)+2*a(n+2)+3*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A099525 8.43903 [(f(x)-1)*(3*f(x)*x^3+2*f(x)*x-f(x)+1) ogf] A099526 12.3451 [-a(n+4)+2*a(n+3)+3*a(n),a(0)=2,a(1)=4,a(2)=8,a(3)=28 lgdogf] A099526 20.6133 [-1/(x+1)/(3*x^3-3*x^2+3*x-1) ogf] A099526 8.39802 [(f(x)-1)*(3*f(x)*x^4+2*f(x)*x-f(x)+1) ogf] A099528 4.76708 [(5309*f(x)-290)*(f(x)*x^4-5*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)-x-1) ogf] A099528 9.25780 [-(x^2-x-1)/(x^4-5*x^3+2*x^2-4*x+1) ogf] A099528 9.34442 [-(5-6*x-8*x^4+6*x^3+17*x^2+2*x^5)/(x^2-x-1)/(x^4-5*x^3+2*x^2-4*x+1) lgdogf] A099529 14.3673 [(x+1)^2/(x^3+x^2+2*x+1) ogf] A099529 29.3604 [-x^2*(x+3)/(x+1)/(x^3+x^2+2*x+1) lgdogf] A099529 7.96730 [{-a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A099529 9.84722 [f(x)*x^3+f(x)*x^2+2*f(x)*x-x^2+f(x)-2*x-1 ogf] A099530 10.8209 [-(f(x)-1)*(f(x)*x^4-f(x)*x+f(x)-1) ogf] A099530 21.0539 [a(n+4)-a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=-3 lgdogf] A099530 31.7164 [1/(x^4-x+1) ogf] A099531 10.8247 [(x+1)^3/(x^4+x^3+3*x^2+3*x+1) ogf] A099531 23.9014 [-x^3*(4+x)/(x+1)/(x^4+x^3+3*x^2+3*x+1) lgdogf] A099531 7.24783 [f(x)*x^4+f(x)*x^3+3*f(x)*x^2-x^3+3*f(x)*x-3*x^2+f(x)-3*x-1 ogf] A099558 12.2761 [-(x^2-x+1)/(x^5-x^2+2*x-1) ogf] A099558 14.1171 [-(1+3*x^6-4*x^5+5*x^4-x^2)/(x^2-x+1)/(x^5-x^2+2*x-1) lgdogf] A099559 15.9396 [-(-2+2*x+6*x^5-5*x^4)/(x-1)/(x^2-x+1)/(x^3+x^2-1) lgdogf] A099559 16.1740 [x/(x-1)/(x^2-x+1)/(x^3+x^2-1) ogf] A099560 14.4228 [x^3/(x-1)/(x^2+x+1)/(x^3+x-1) ogf] A099560 15.5229 [-(-1+6*x^5+4*x^3-6*x^2)/(x-1)/(x^2+x+1)/(x^3+x-1) lgdogf] A099561 14.6813 [-(-1+8*x^7+5*x^4-8*x^3)/(x-1)/(x+1)/(x^2+1)/(x^4+x-1) lgdogf] A099561 14.6813 [x^4/(x-1)/(x+1)/(x^2+1)/(x^4+x-1) ogf] A099562 11.0202 [-(-1+10*x^9+6*x^5-10*x^4)/(x-1)/(x^2-x+1)/(x^3+x^2-1)/(x^4+x^3+x^2+x+1) lgdogf] A099562 14.4167 [x^5/(x-1)/(x^2-x+1)/(x^3+x^2-1)/(x^4+x^3+x^2+x+1) ogf] A099563 6.74308 [x*(3*x^47-x^41-x^35+x^29-x^27-x^24-2*x^23+x^17+x^11-x^5+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A099568 11.5903 [-(x-1)/(2*x-1)/(x^3+x-1) ogf] A099568 13.5911 [-(2-4*x+6*x^4-10*x^3+5*x^2)/(x-1)/(2*x-1)/(x^3+x-1) lgdogf] A099568 4.97895 [{-a(n+4)+3*a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A099568 5.56701 [-(21*f(x)+52)*(2*f(x)*x^4-f(x)*x^3+2*f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A099570 11.8958 [f(x)*x^2+x^3+2*f(x)*x-x^2+f(x)-2*x-1 ogf] A099570 15.4060 [-(x^3-x^2-2*x-1)/(x+1)^2 ogf] A099570 35.2046 [x^2*(x+3)/(x+1)/(x^3-x^2-2*x-1) lgdogf] A099570 8.39079 [{a(n+4)+2*a(n+3)+a(n+2),a(0)=1,a(1)=0,a(2)=0,a(3)=-1} ogf] A099571 16.6675 [-(-1-8*x+8*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A099571 9.02516 [1/(x^2+x-1)/(x-1)^3/(x+1)^3 ogf] A099572 16.4842 [-(-1-10*x+10*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A099572 7.56123 [-1/(x^2+x-1)/(x-1)^4/(x+1)^4 ogf] A099574 7.44792 [-(1+2*x-8*x^7+4*x^11+2*x^9+x^8-x^6-4*x^5-2*x^4+4*x^3-3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^2-1)/(x^4+x-1) lgdogf] A099574 8.62118 [-(x-1)*(x+1)*(x^2+1)/(x^4+x^2-1)/(x^4+x-1) ogf] A099576 6.22348 [-27*f(x)^3*x^4+4*f(x)^3*x^2-54*f(x)^2*x^2+8*f(x)^2-18*f(x)*x-7*f(x)-1 ogf] A099578 13.3481 [1/2*(-3+((12*x^2+4*x+1)*(5+6*x)^2)^(1/2))*x/(1+3*x)^3 revogf] A099578 6.49598 [-27*f(x)^3*x^3+4*f(x)^3*x-27*f(x)^2*x^2+4*f(x)^2-9*f(x)*x-3*f(x)-1 ogf] A099579 12.9585 [x^2/(3*x^2-1)/(3*x^2+x-1) ogf] A099579 15.1096 [-(-1-12*x+36*x^3+9*x^2)/(3*x^2-1)/(x+3*x^2-1) lgdogf] A099579 5.49438 [-(6*f(x)+1)*(9*f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-f(x)*x-x^2+f(x)) ogf] A099580 12.9749 [x^2/(2*x-1)/(2*x+1)/(4*x^2+x-1) ogf] A099580 13.3432 [-(-1-16*x+64*x^3+12*x^2)/(2*x+1)/(2*x-1)/(4*x^2+x-1) lgdogf] A099580 5.56069 [-(8*f(x)+1)*(16*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2-f(x)*x-x^2+f(x)) ogf] A099581 13.4313 [x^2/(3*x^2-1)/(3*x^2+3*x-1) ogf] A099581 13.8643 [-3*(x+1)*(12*x^2-3*x-1)/(3*x^2-1)/(3*x^2+3*x-1) lgdogf] A099581 5.26508 [-(6*f(x)+1)*(9*f(x)*x^4+9*f(x)*x^3-6*f(x)*x^2-3*f(x)*x-x^2+f(x)) ogf] A099582 11.2676 [-4*(-1-4*x+16*x^3+12*x^2)/(2*x+1)/(2*x-1)/(4*x^2+4*x-1) lgdogf] A099582 12.2760 [x^2/(2*x-1)/(2*x+1)/(4*x^2+4*x-1) ogf] A099582 4.89122 [-(14*f(x)+1)*(16*f(x)*x^4+16*f(x)*x^3-8*f(x)*x^2-4*f(x)*x-x^2+f(x)) ogf] A099583 13.6688 [x^2/(x+1)/(3*x-1)/(3*x^2-1) ogf] A099583 13.8147 [-2*(-1-6*x+18*x^3+9*x^2)/(3*x-1)/(x+1)/(3*x^2-1) lgdogf] A099583 5.35818 [-(6*f(x)+1)*(9*f(x)*x^4+6*f(x)*x^3-6*f(x)*x^2-2*f(x)*x-x^2+f(x)) ogf] A099586 5.37684 [(4*f(x)-1)*(2*f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A099586 8.03682 [-(1-6*x+18*x^4-16*x^3+4*x^6-12*x^5+12*x^2)/(2*x-1)/(x^2+1-x)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A099586 9.56660 [-(2*x-1)*(x^2-x+1)/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A099587 11.2844 [-2*(1-4*x+6*x^2-6*x^3+2*x^4)/(x-1)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A099587 4.51353 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A099587 4.64531 [-(4*f(x)+3)*(2*f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A099587 8.71792 [x*(x-1)^2/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A099588 11.0994 [-(3-12*x+18*x^2-16*x^3+6*x^4)/(x-1)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A099588 12.4032 [-x^2*(x-1)/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A099588 7.99832 [2*f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x) ogf] A099589 15.2185 [x^3/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A099589 15.3035 [-4*(2*x-1)*(x^2-x+1)/(6*x^2+1-4*x+2*x^4-4*x^3) lgdogf] A099589 7.53238 [-2*f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+x^3+4*f(x)*x-f(x) ogf] A099590 7.56697 [x*(x+2)*(x^2-2*x+2)/(2*x-1)^2/(x^2+1)^2 ogf] A099590 9.75527 [-(14-20*x-x^4-22*x^3+57*x^2+6*x^5)/(2*x-1)/(x+2)/(1+x^2)/(x^2-2*x+2) lgdogf] A099592 7.30518 [6*(2*x^19+3*x^10+x^7+2*x^6+2*x^5+5*x^4+15*x^3+20*x^2+155*x-210)/(x-1) ogf] A099603 10.4129 [-2*(1+4*x+8*x^5-12*x^4-8*x^3+6*x^2)/(2*x^2-2*x-1)/(4*x^4-6*x^2+1) lgdogf] A099603 12.1131 [-(2*x^2-2*x-1)/(4*x^4-6*x^2+1) ogf] A099603 7.34514 [(13*f(x)+7)*(4*f(x)*x^4-6*f(x)*x^2+2*x^2+f(x)-2*x-1) ogf] A099604 8.05062 [-(1+4*x-8*x^4+6*x^3+8*x^2-14*x^5-5*x^6+4*x^7+3*x^8)/(x^3-x-1)/(x^6+2*x^5-3*x^3-2*x^2+1) lgdogf] A099604 9.78938 [-(x^3-x-1)/(x^6+2*x^5-3*x^3-2*x^2+1) ogf] A099606 11.2661 [-(2*x^2-4*x-1)/(2*x^2+4*x+1)/(2*x^2-4*x+1) ogf] A099606 6.46962 [-(338*f(x)+83)*(4*f(x)*x^4-12*f(x)*x^2+2*x^2+f(x)-4*x-1) ogf] A099606 8.21227 [-4*(1+5*x+4*x^5-12*x^4-4*x^3+12*x^2)/(2*x^2-4*x-1)/(2*x^2+4*x+1)/(2*x^2-4*x+1) lgdogf] A099607 6.69933 [-(2+6*x+3*x^8+16*x^4+36*x^3-19*x^6-16*x^5+19*x^2)/(x^3-x^2-2*x+1)/(x^3-x^2-2*x-1)/(x^3+3*x^2+2*x+1) lgdogf] A099607 7.60493 [-(x^3-x^2-2*x-1)/(x^3-x^2-2*x+1)/(x^3+3*x^2+2*x+1) ogf] A099621 13.8867 [x/(4*x-1)/(3*x-1)/(x+1) ogf] A099621 15.3477 [-2*(-3+5*x+18*x^2)/(-1+4*x)/(3*x-1)/(x+1) lgdogf] A099621 5.70346 [{a(n+3)-6*a(n+2)+5*a(n+1)+12*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A099621 5.91471 [-(989*f(x)+120)*(12*f(x)*x^3+5*f(x)*x^2-6*f(x)*x+f(x)-x) ogf] A099622 12.6272 [x/(4*x-1)/(5*x-1)/(x+1) ogf] A099622 13.9097 [-2*(-4+11*x+30*x^2)/(-1+4*x)/(5*x-1)/(x+1) lgdogf] A099622 5.25204 [{a(n+3)-8*a(n+2)+11*a(n+1)+20*a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A099622 5.65219 [-(8*f(x)+1)*(20*f(x)*x^3+11*f(x)*x^2-8*f(x)*x+f(x)-x) ogf] A099623 12.5120 [-x^2/(x+1)/(3*x-1)/(2*x-1)^2 ogf] A099623 18.0826 [-6*(-1+x+4*x^2)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A099623 3.44718 [{(-6*n-18)*a(n+1)+(-n-6)*a(n+2)+(4*n+10)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A099623 6.75647 [-12*f(x)*x^4+4*f(x)*x^3+9*f(x)*x^2-6*f(x)*x-x^2+f(x) ogf] A099624 11.3832 [-x^2/(x+1)/(4*x-1)/(3*x-1)^2 ogf] A099624 15.4930 [-(-9+19*x+48*x^2)/(4*x-1)/(-1+3*x)/(x+1) lgdogf] A099624 4.89122 [-(23*f(x)-1)*(36*f(x)*x^4+3*f(x)*x^3-23*f(x)*x^2+9*f(x)*x+x^2-f(x)) ogf] A099625 12.2798 [-x^2/(x^2+2*x-1)/(2*x-1)^2 ogf] A099625 17.7417 [-2*(-3+5*x+4*x^2)/(2*x-1)/(x^2+2*x-1) lgdogf] A099625 3.38320 [{(2*n+6)*a(n+1)+(3*n+10)*a(n+2)+(-4*n-10)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A099625 5.22133 [-(11*f(x)-1)*(4*f(x)*x^4+4*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+x^2-f(x)) ogf] A099626 13.6008 [x/(x^4+2*x^3-3*x^2-2*x+1) ogf] A099626 13.6759 [-2*(-1-3*x+2*x^3+3*x^2)/(-3*x^2+1-2*x+x^4+2*x^3) lgdogf] A099626 5.46263 [-(71*f(x)-9)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A099638 3.28694 [-(21995424693*f(x)+1412265115)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-34*x+1) ogf] A099638 3.57852 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=1,a(1)=77,a(2)=7437} ogf] A099638 6.46980 [-(-77+2220*x+68000*x^3-40740*x^2)/(x-1)/(10*x-1)/(34*x-1)/(100*x-1) lgdogf] A099638 7.15703 [(34*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A099653 6.20742 [(x+2)*(9*x^7+62*x^6+191*x^5+338*x^4+369*x^3+246*x^2+90*x+12)/(96*x^2+5+24*x+10*x^8+246*x^4+x^9+194*x^3+120*x^6+209*x^5+45*x^7) lgdogf] A099654 20.7589 [(21+48*x+5*x^4+24*x^3+48*x^2)/(24*x^2+5+21*x+6*x^4+16*x^3+x^5) lgdogf] A099654 7.11381 [-(103612*f(x)+315619)*(-x^5-6*x^4-16*x^3-24*x^2+f(x)-21*x-5) ogf] A099669 15.8638 [-2/(10*x-1)/(x-1)^2 ogf] A099669 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099669 5.91530 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=2,a(1)=24,a(2)=246} ogf] A099669 6.28834 [(218107*f(x)-72200)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+2) ogf] A099670 12.6125 [-3/(10*x-1)/(x-1)^2 ogf] A099670 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099670 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=3,a(1)=36,a(2)=369} ogf] A099670 4.95492 [(218107*f(x)-108300)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+3) ogf] A099671 12.6125 [-4/(10*x-1)/(x-1)^2 ogf] A099671 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099671 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=4,a(1)=48,a(2)=492} ogf] A099671 4.95492 [(218107*f(x)-144400)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+4) ogf] A099672 15.8638 [-5/(10*x-1)/(x-1)^2 ogf] A099672 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099672 5.91530 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=5,a(1)=60,a(2)=615} ogf] A099672 6.23219 [(218107*f(x)-180500)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+5) ogf] A099673 12.6125 [-6/(10*x-1)/(x-1)^2 ogf] A099673 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099673 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=6,a(1)=72,a(2)=738} ogf] A099673 4.95492 [(218107*f(x)-216600)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+6) ogf] A099674 12.6125 [-7/(10*x-1)/(x-1)^2 ogf] A099674 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099674 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=7,a(1)=84,a(2)=861} ogf] A099674 4.95492 [(218107*f(x)-252700)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+7) ogf] A099675 12.6125 [-8/(10*x-1)/(x-1)^2 ogf] A099675 20.8996 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099675 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=8,a(1)=96,a(2)=984} ogf] A099675 4.95492 [(218107*f(x)-288800)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+8) ogf] A099676 15.3914 [-9/(10*x-1)/(x-1)^2 ogf] A099676 25.5940 [-6*(-2+5*x)/(10*x-1)/(x-1) lgdogf] A099676 5.64351 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=9,a(1)=108,a(2)=1107} ogf] A099676 6.04662 [(218107*f(x)-324900)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+9) ogf] A099721 10.3885 [x*(x^2+8*x+3)/(x-1)^4 ogf] A099721 21.9814 [-2*(10+13*x+x^2)/(x-1)/(x^2+8*x+3) lgdogf] A099721 3.81084 [{(9+3*n)*a(n+4)+(-10+5*n)*a(n+3)+(-33-7*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=20,a(3)=63} ogf] A099721 5.26637 [(531144*f(x)+2040421)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-8*x^2+f(x)-3*x) ogf] A099735 5.68456 [-(5*x^23+x^22-6*x^21-2*x^20-4*x^19+x^18+5*x^17-x^2+x+1)/(x^2+1)/(x-1)^3/(x+1)^3 ogf] A099743 10.0248 [-x^2*(3*x-2)/(3*x-1)/(2*x-1)^3 ogf] A099743 14.4850 [-3*(5-20*x+18*x^2)/(3*x-1)/(2*x-1)/(3*x-2) lgdogf] A099743 4.07790 [{(-6*n^2-66*n-108)*a(n+1)+(5*n^2+49*n+60)*a(n+2)+(-n^2-9*n-8)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A099743 5.26853 [-(75*f(x)-8)*(24*f(x)*x^4-44*f(x)*x^3+30*f(x)*x^2+3*x^3-9*f(x)*x-2*x^2+f(x)) ogf] A099745 5.25426 [-x^4*(81*x^3-137*x^2+72*x-12)/(2*x-1)^4/(3*x-1)^4 ogf] A099745 8.46048 [-(9*x-4)*(5*x-2)*(54*x^2-73*x+21)/(3*x-1)/(2*x-1)/(81*x^3-137*x^2+72*x-12) lgdogf] A099754 10.8975 [-(7*x^2-8*x+2)/(x-1)/(3*x-1)/(2*x-1) ogf] A099754 5.72582 [-(11*f(x)+41)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+7*x^2-f(x)-8*x+2) ogf] A099754 5.97918 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=2,a(1)=4,a(2)=9} ogf] A099754 9.74212 [-2*(2-15*x+21*x^4-48*x^3+41*x^2)/(x-1)/(3*x-1)/(2*x-1)/(7*x^2-8*x+2) lgdogf] A099760 3.00643 [{(-2*n^2-2*n)*a(n)+(-3*n-3)*a(n+1)+(2*n^2+10*n+14)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A099761 15.2309 [-2*(32+33*x+x^3-6*x^2)/(x-1)/(x^3-5*x^2+19*x+9) lgdogf] A099761 3.92665 [{(-11*n^2-71*n-98)*a(n+1)+(32*n^2+192*n+288)*a(n+2)+(-21*n^2-81*n-78)*a(n+3),a(0)=0,a(1)=9,a(2)=64} ogf] A099761 7.89598 [-x*(x^3-5*x^2+19*x+9)/(x-1)^5 ogf] A099762 14.4551 [-3*(9+33*x+x^3+17*x^2)/(x-1)/(x^3+12*x^2+15*x+2) lgdogf] A099762 3.93323 [{(-n^2-6*n-9)*a(n+1)+(5*n^2+37*n+86)*a(n+2)+(-4*n^2-16*n-16)*a(n+3),a(0)=0,a(1)=8,a(2)=108} ogf] A099762 6.90243 [4*x*(x^3+12*x^2+15*x+2)/(x-1)^6 ogf] A099764 14.9029 [-4*(4+18*x+x^3+12*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A099764 5.74729 [{(n^2+8*n+16)*a(n+1)+(-n^2-2*n-1)*a(n+2),a(0)=0,a(1)=36} ogf] A099764 6.04715 [-36*x*(x+1)*(x^2+8*x+1)/(x-1)^7 ogf] A099770 10.5363 [-(1+3*x+x^6+16*x^5+2*x^4+10*x^3+13*x^7+2*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A099770 24.5541 [[x^5+x^3+x+1] ogf_with_Euler_transform] A099770 8.68663 [1/(x^2-x+1)/(x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A099776 13.2546 [-(x^2-2*x+5)/(x-1)^3 ogf] A099776 25.5849 [-(13-2*x+x^2)/(x-1)/(x^2-2*x+5) lgdogf] A099776 7.09238 [(82*f(x)-203)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+5) ogf] A099776 7.09239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=13,a(2)=25} ogf] A099780 12.3803 [-3*(-1+6*x+4*x^3-11*x^2)/(3*x-1)/(2*x-1)/(x^2-4*x+1) lgdogf] A099780 14.6136 [(3*x-1)/(2*x-1)/(x^2-4*x+1) ogf] A099780 6.91538 [{a(n+3)-6*a(n+2)+9*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A099780 6.97767 [-(517*f(x)+104)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-3*x+1) ogf] A099781 11.4387 [(4*x-1)/(x^3-16*x^2+8*x-1) ogf] A099781 11.8657 [-(-4+32*x-67*x^2+8*x^3)/(-1+4*x)/(x^3-16*x^2+8*x-1) lgdogf] A099781 5.41835 [{a(n+3)-8*a(n+2)+16*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A099781 5.77283 [(65*f(x)+191)*(f(x)*x^3-16*f(x)*x^2+8*f(x)*x-f(x)-4*x+1) ogf] A099782 11.3448 [-2*(-2+16*x+8*x^3-35*x^2)/(-1+4*x)/(2*x^3-16*x^2+8*x-1) lgdogf] A099782 11.7871 [(4*x-1)/(2*x^3-16*x^2+8*x-1) ogf] A099782 5.58337 [{a(n+3)-8*a(n+2)+16*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A099782 6.00477 [(33*f(x)+95)*(2*f(x)*x^3-16*f(x)*x^2+8*f(x)*x-f(x)-4*x+1) ogf] A099783 12.5111 [-3*(-1+6*x+6*x^3-12*x^2)/(-1+3*x)/(3*x^3-9*x^2+6*x-1) lgdogf] A099783 12.7541 [(3*x-1)/(3*x^3-9*x^2+6*x-1) ogf] A099783 6.03540 [{a(n+3)-6*a(n+2)+9*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A099783 6.2015 [-(46*f(x)+17)*(3*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-3*x+1) ogf] A099784 11.0654 [-(2*x+1)/(2*x^3-4*x^2-4*x-1) ogf] A099784 12.5808 [-2*(-1-4*x-x^2+4*x^3)/(2*x+1)/(2*x^3-4*x^2-4*x-1) lgdogf] A099784 5.23631 [{-a(n+3)-4*a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A099784 5.69386 [(3*f(x)-1)*(2*f(x)*x^3-4*f(x)*x^2-4*f(x)*x-f(x)+2*x+1) ogf] A099785 4.89305 [(5*f(x)-1)*(2*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A099785 9.08710 [-(2*x-1)^2/(2*x^4+8*x^3-12*x^2+6*x-1) ogf] A099785 9.58329 [-2*(-1+6*x-12*x^2+4*x^3+4*x^4)/(2*x-1)/(2*x^4+8*x^3-12*x^2+6*x-1) lgdogf] A099786 4.99306 [-f(x)*(f(x)*x^4+27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+9*x^2-f(x)-6*x+1) ogf] A099786 8.93125 [-(3*x-1)^2/(x^4+27*x^3-27*x^2+9*x-1) ogf] A099786 9.70693 [-(-3+27*x-81*x^2+77*x^3+6*x^4)/(3*x-1)/(x^4+27*x^3-27*x^2+9*x-1) lgdogf] A099787 5.31245 [f(x)*(2*f(x)*x^4+27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+9*x^2-f(x)-6*x+1) ogf] A099787 9.20328 [-(3*x-1)^2/(2*x^4+27*x^3-27*x^2+9*x-1) ogf] A099787 9.56055 [-(-3+27*x+12*x^4+73*x^3-81*x^2)/(3*x-1)/(2*x^4+27*x^3-27*x^2+9*x-1) lgdogf] A099814 12.9265 [-100*f(x)*x^2+101*f(x)*x-f(x)+11*x ogf] A099814 13.6466 [-1/200*(-101*x-11+(81*x+11)^(1/2)*(11*x+1)^(1/2)*11^(1/2))/x revogf] A099814 19.6975 [11*x/(100*x-1)/(x-1) ogf] A099814 28.2344 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A099814 9.61973 [{a(n+2)-101*a(n+1)+100*a(n),a(0)=0,a(1)=11} ogf] A099837 12.8300 [-(x-1)*(x+1)/(x^2+x+1) ogf] A099837 24.7528 [(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A099837 25.0646 [x^2-x-1 ogf_with_Euler_transform] A099837 6.16343 [{-a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=-1} ogf] A099837 9.38313 [-f(x)*x^2-f(x)*x-x^2-f(x)+1 ogf] A099838 10.1281 [f(x)*x^2-x^3+f(x)*x+x^2+f(x)+x-1 ogf] A099838 13.1167 [(x+1)*(x-1)^2/(x^2+x+1) ogf] A099838 28.1056 [(2+6*x+3*x^2+x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A099838 31.9366 [x^2-x-2 ogf_with_Euler_transform] A099838 7.08071 [{a(n+4)+a(n+3)+a(n+2),a(0)=1,a(1)=-2,a(2)=0,a(3)=3} ogf] A099839 13.8553 [-1/2*(-1+10*x+((20*x-1)*(-1+4*x))^(1/2))/(1+5*x) revogf] A099839 14.0669 [-(x-1)/(5*x^2+10*x+1) ogf] A099839 17.5014 [-(-11-10*x+5*x^2)/(x-1)/(5*x^2+10*x+1) lgdogf] A099839 6.95783 [-(100*f(x)+21)*(5*f(x)*x^2+10*f(x)*x+f(x)+x-1) ogf] A099839 7.70331 [{a(n+2)+10*a(n+1)+5*a(n),a(0)=1,a(1)=-11} ogf] A099840 10.0336 [(70*f(x)+11)*(20*f(x)*x^2-f(x)-6*x+1) ogf] A099840 10.8054 [{-a(n+2)+20*a(n),a(0)=1,a(1)=-6} ogf] A099840 16.5403 [1/4*(-1+((20*x-1)*(-1+4*x))^(1/2))/(-3+10*x) revogf] A099840 16.7226 [(6*x-1)/(20*x^2-1) ogf] A099840 19.1519 [-2*(3-20*x+60*x^2)/(-1+6*x)/(20*x^2-1) lgdogf] A099841 13.1273 [-(16*x-1)/(80*x^2-20*x+1) ogf] A099841 13.6406 [-1/32*(-1-20*x+((20*x-1)*(-1+4*x))^(1/2))/(1+5*x) revogf] A099841 14.8531 [-4*(1-40*x+320*x^2)/(-1+16*x)/(80*x^2-20*x+1) lgdogf] A099841 6.84902 [-(5*f(x)-6)*(80*f(x)*x^2-20*f(x)*x+f(x)+16*x-1) ogf] A099841 7.50131 [{-a(n+2)+20*a(n+1)-80*a(n),a(0)=1,a(1)=4} ogf] A099842 15.2579 [1/2/(-1+3*x)*(-1+6*x+((12*x-1)*(-1+4*x))^(1/2)) revogf] A099842 15.4552 [(x-1)/(3*x^2-6*x-1) ogf] A099842 7.72761 [-(48*f(x)+1)*(3*f(x)*x^2-6*f(x)*x-f(x)-x+1) ogf] A099842 8.48151 [{-a(n+2)-6*a(n+1)+3*a(n),a(0)=1,a(1)=-7} ogf] A099843 16.4520 [(x-1)/(x^2-4*x-1) ogf] A099843 17.0243 [1/2/(x-1)*(-1+4*x+((-1+10*x)*(-1+2*x))^(1/2)) revogf] A099843 25.5364 [-(5-2*x+x^2)/(x-1)/(x^2-4*x-1) lgdogf] A099843 8.22602 [-(22*f(x)+3)*(f(x)*x^2-4*f(x)*x-f(x)-x+1) ogf] A099843 9.02856 [{-a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=-5} ogf] A099844 10.4605 [1/(x^6-3*x^5+3*x^4-3*x^3+3*x^2-3*x+1) ogf] A099844 9.38301 [-3*(-1+2*x-3*x^2+4*x^3-5*x^4+2*x^5)/(3*x^2+1-3*x+3*x^4-3*x^3+x^6-3*x^5) lgdogf] A099845 7.37564 [(x^2+1)^2/(x^6-3*x^5+3*x^4-3*x^3+3*x^2-3*x+1) ogf] A099845 7.65270 [-(-3+2*x+6*x^3-12*x^4+6*x^5-3*x^6+2*x^7)/(x^2+1)/(x^6-3*x^5+3*x^4-3*x^3+3*x^2-3*x+1) lgdogf] A099846 10.7865 [-(-3+8*x+6*x^5-15*x^4+16*x^3-15*x^2)/(x^2-x+1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A099846 11.5014 [1/(x^2-x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A099854 8.17162 [(x^2+1)^2/(x^2-x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A099854 8.29405 [-(-3+4*x+2*x^7-3*x^6+6*x^5-10*x^4+8*x^3-6*x^2)/(x^2+1)/(x^2-x+1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A099855 13.0070 [x/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A099855 16.7502 [-2*(3-8*x+8*x^2)/(-1+2*x)/(2*x^2-2*x+1) lgdogf] A099855 5.52798 [(4*f(x)+17)*(8*f(x)*x^4-16*f(x)*x^3+14*f(x)*x^2-6*f(x)*x+f(x)-x) ogf] A099856 14.8424 [-3*f(x)*x+f(x)-3*x-1 ogf] A099856 18.0516 [-(3*x+1)/(3*x-1) ogf] A099856 18.7108 [-1/6-1/2*x+1/6*(1+18*x+9*x^2)^(1/2) revogf] A099856 36.3821 [-6/(3*x-1)/(3*x+1) lgdogf] A099856 9.27653 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=6} ogf] A099857 12.5615 [(x^2+3*x+1)/(x^2-3*x+1) ogf] A099857 17.1731 [-6*(x-1)*(x+1)/(x^2+3*x+1)/(x^2-3*x+1) lgdogf] A099857 6.46369 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=18} ogf] A099857 9.37689 [-f(x)*x^2+3*f(x)*x+x^2-f(x)+3*x+1 ogf] A099858 11.3331 [-2*(-3+x+3*x^4-7*x^3+x^5)/(1+x^2)/(3*x+1+x^2)/(x^2-3*x+1) lgdogf] A099858 4.95615 [(127*f(x)+124)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2-3*f(x)*x-x^2+f(x)-3*x-1) ogf] A099858 9.55316 [(x^2+3*x+1)/(x^2+1)/(x^2-3*x+1) ogf] A099859 10.9874 [-(-1-3*x^6+4*x^7-2*x^2+4*x^3-6*x^4+8*x^5)/(1+x^2)/(x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A099859 15.3806 [x^13-x^6-x^3+1 ogf_with_Euler_transform] A099859 7.23573 [x*(x^2+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A099860 12.0693 [-(-1-2*x-4*x^4+2*x^3+2*x^7-x^6+6*x^5)/(x^2+1)/(x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A099860 16.0675 [x^13-x^6-2*x^3+x+1 ogf_with_Euler_transform] A099860 7.60388 [(x^2+1)^2/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A099867 14.4249 [-1/2*(-1-5*x+(1+26*x+21*x^2)^(1/2))/(-4+x) revogf] A099867 16.5259 [(4*x+1)/(x^2-5*x+1) ogf] A099867 17.3098 [-(-9+2*x+4*x^2)/(4*x+1)/(x^2-5*x+1) lgdogf] A099867 8.54787 [(43*f(x)+38)*(f(x)*x^2-5*f(x)*x+f(x)-4*x-1) ogf] A099867 9.06907 [{-a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=9} ogf] A099868 13.3109 [-1/2*(-3-5*x+(9+70*x+21*x^2)^(1/2))/(-10+x) revogf] A099868 15.0624 [-(-25+6*x+10*x^2)/(10*x+3)/(x^2-5*x+1) lgdogf] A099868 15.4048 [(10*x+3)/(x^2-5*x+1) ogf] A099868 7.87357 [(119*f(x)+268)*(f(x)*x^2-5*f(x)*x+f(x)-10*x-3) ogf] A099868 8.53760 [{-a(n+2)+5*a(n+1)-a(n),a(0)=3,a(1)=25} ogf] A099903 13.6048 [-6*(3+15*x+x^3+11*x^2)/(x-1)/(2*x^3+15*x^2+12*x+1) lgdogf] A099903 3.83340 [{(-4*n^2-32*n-64)*a(n+1)+(5*n^2+23*n+44)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=2,a(1)=36,a(2)=216} ogf] A099903 7.08005 [2*(2*x^3+15*x^2+12*x+1)/(x-1)^6 ogf] A099912 10.6000 [(2*x^2-9*x+1)/(11*x-1)/(2*x-1) ogf] A099912 11.6576 [4*(1-10*x+43*x^2)/(11*x-1)/(-1+2*x)/(2*x^2-9*x+1) lgdogf] A099912 5.55237 [{a(n+3)-13*a(n+2)+22*a(n+1),a(0)=1,a(1)=4,a(2)=32} ogf] A099912 5.71568 [-(-61+105*f(x))*(22*f(x)*x^2-13*f(x)*x-2*x^2+f(x)+9*x-1) ogf] A099913 4.80018 [(5691*f(x)-3286)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+6*x^2+f(x)+7*x-1) ogf] A099913 4.96714 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=3,a(2)=25} ogf] A099913 8.47642 [-(2*x+1)*(30*x^3+55*x^2-16*x+3)/(x-1)/(10*x-1)/(x+1)/(6*x^2+7*x-1) lgdogf] A099913 9.06700 [-(6*x^2+7*x-1)/(x-1)/(10*x-1)/(x+1) ogf] A099914 11.8075 [(3*x+1)/(10*x-1)/(x-1) ogf] A099914 11.8128 [-1/2*(-11*x-1+(81*x^2+34*x+1)^(1/2))/(-3+10*x) revogf] A099914 12.9378 [-2*(-7+10*x+15*x^2)/(x-1)/(3*x+1)/(10*x-1) lgdogf] A099914 6.23541 [(67*f(x)+31)*(10*f(x)*x^2-11*f(x)*x+f(x)-3*x-1) ogf] A099914 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=14} ogf] A099915 11.8075 [(4*x+1)/(10*x-1)/(x-1) ogf] A099915 12.0753 [-1/4*(-11*x-1+(81*x^2+38*x+1)^(1/2))/(-2+5*x) revogf] A099915 13.5847 [-5*(-3+4*x+8*x^2)/(x-1)/(1+4*x)/(10*x-1) lgdogf] A099915 6.03208 [(871*f(x)+1154)*(10*f(x)*x^2-11*f(x)*x+f(x)-4*x-1) ogf] A099915 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=15} ogf] A099916 12.9375 [(x^2+1)^2/(x^6-x^3+1) ogf] A099916 14.5830 [x^17-x^8-x^5-2*x^3+x^2+2*x ogf_with_Euler_transform] A099917 12.9375 [(x^2+1)^2/(x^6+x^3+1) ogf] A099917 21.2834 [x^8-2*x^3-x^2+2*x ogf_with_Euler_transform] A099918 11.1638 [-(1-2*x+x^6+6*x^5+2*x^3+2*x^7+4*x^4)/(1+x^2)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A099918 18.6510 [x^6-2*x^3+2*x-1 ogf_with_Euler_transform] A099918 6.93709 [(x^2+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A099919 13.3084 [2*x/(x-1)/(x^2+4*x-1) ogf] A099919 17.8628 [-(-5+6*x+3*x^2)/(x-1)/(x^2+4*x-1) lgdogf] A099919 5.34713 [{a(n+3)-5*a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=10} ogf] A099919 5.75846 [-(29*f(x)+6)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)-2*x) ogf] A099920 10.7418 [-x*(x-2)/(x^2+x-1)^2 ogf] A099920 22.1819 [-(-3-7*x+3*x^2)/(x-2)/(x^2+x-1) lgdogf] A099920 3.58061 [{(6+2*n)*a(n+4)+(-3*n-9)*a(n+3)+(-8-n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=2,a(2)=3,a(3)=8} ogf] A099920 5.24977 [-(775*f(x)-881)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A099921 13.6988 [-(1+4*x-5*x^2+2*x^3)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A099921 14.5493 [-5*(x-1)/(x+1)/(x^2-3*x+1) ogf] A099921 6.82400 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=5,a(2)=20} ogf] A099921 7.0101 [-(159*f(x)-95)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)+5*x-5) ogf] A099922 4.29176 [(2118425*f(x)+255744)*(f(x)*x^4-9*f(x)*x^3+16*f(x)*x^2-9*f(x)*x-x^2+f(x)-8*x-1) ogf] A099922 8.64481 [(x^2+8*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A099922 9.72384 [-(17-13*x+2*x^4+17*x^3-123*x^2)/(x-1)/(x^2-7*x+1)/(x^2+8*x+1) lgdogf] A099923 5.81172 [-(x^4+76*x^3-164*x^2-79*x+16)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A099924 21.0180 [-2*(-1-4*x+x^2)/(x-2)/(x^2+x-1) lgdogf] A099924 4.85709 [-(185*f(x)+512)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)+4*x-4) ogf] A099924 9.64380 [(x-2)^2/(x^2+x-1)^2 ogf] A099925 14.9307 [(2*x^2-3)/(x+1)/(x^2+x-1) ogf] A099925 16.3751 [-x*(-8+2*x^3-9*x)/(x+1)/(2*x^2-3)/(x^2+x-1) lgdogf] A099925 8.07479 [-(435*f(x)+2791)*(f(x)*x^3+2*f(x)*x^2-2*x^2-f(x)+3) ogf] A099925 8.50891 [{a(n+3)-2*a(n+1)-a(n),a(0)=3,a(1)=0,a(2)=4} ogf] A099926 2.42987 [-(10*f(x)-7)*(f(x)*x^3+2*f(x)*x^2-f(x)+2*x+1) ogf] A099926 4.46302 [-(2*x+1)/(x+1)/(x^2+x-1) ogf] A099930 10.9109 [-4*(-3-15*x+x^3+9*x^2)/(x^2+14*x-1)/(x^2-2*x-1) lgdogf] A099930 10.9197 [1/(x^2+14*x-1)/(x^2-2*x-1) ogf] A099930 4.03188 [-(137309*f(x)+13)*(f(x)*x^4+12*f(x)*x^3-30*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A099931 7.74333 [-(29+348*x-116*x^3+5*x^4-522*x^2)/(x-1)/(x^2-34*x+1)/(x^2+6*x+1) lgdogf] A099931 8.58314 [-1/(x-1)/(x^2-34*x+1)/(x^2+6*x+1) ogf] A099934 3.15913 [{-a(n+1)+(n+4)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=11} ogf] A099938 11.4294 [-2*(2*x^2-5*x+1)/(x-1)/(x^2-6*x+1) ogf] A099938 6.16193 [(668*f(x)+89)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-10*x+2) ogf] A099938 6.27098 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=18} ogf] A099938 9.64958 [-2*(1-5*x+12*x^2-5*x^3+x^4)/(x-1)/(1-6*x+x^2)/(2*x^2-5*x+1) lgdogf] A099942 11.8834 [(2*x+1)*(x^2+1)/(x-1)/(x+1)/(2*x^2-1) ogf] A099942 7.28701 [{-a(n+4)+3*a(n+2)-2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A099942 8.30562 [f(x)*(2*f(x)*x^4-3*f(x)*x^2-2*x^3-x^2+f(x)-2*x-1) ogf] A099942 9.58947 [-2*(-1-4*x+2*x^6+2*x^5+9*x^4+4*x^3-6*x^2)/(x-1)/(2*x+1)/(x+1)/(2*x^2-1)/(x^2+1) lgdogf] A099943 17.3890 [-2*(23*x-36)/(x-1)^2 ogf] A099943 24.2944 [-(-36-x+(1296+26*x)^(1/2))/(46+x) revogf] A099943 28.6327 [-(-49+23*x)/(-1+x)/(23*x-36) lgdogf] A099943 8.98112 [(13*f(x)+1465)*(f(x)*x^2-2*f(x)*x+f(x)+46*x-72) ogf] A099943 9.72955 [{-a(n+2)+2*a(n+1)-a(n),a(0)=72,a(1)=98} ogf] A099944 14.0950 [-4*(16*x-19)/(x-1)/(2*x-1) ogf] A099944 14.7564 [-1/4*(-76-3*x+(5776+200*x+x^2)^(1/2))/(32+x) revogf] A099944 15.8361 [-(41-76*x+32*x^2)/(x-1)/(2*x-1)/(16*x-19) lgdogf] A099944 7.27982 [(47*f(x)+3152)*(2*f(x)*x^2-3*f(x)*x+f(x)+64*x-76) ogf] A099944 7.79369 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=76,a(1)=164} ogf] A099945 13.2984 [-4*(40*x-47)/(x-1)/(2*x-1) ogf] A099945 13.8823 [-1/4*(-188-3*x+(35344+488*x+x^2)^(1/2))/(80+x) revogf] A099945 14.8509 [-(101-188*x+80*x^2)/(x-1)/(40*x-47)/(2*x-1) lgdogf] A099945 6.85915 [(115*f(x)+19184)*(2*f(x)*x^2-3*f(x)*x+f(x)+160*x-188) ogf] A099945 7.57698 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=188,a(1)=404} ogf] A099953 4.27276 [{(2*n+5)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A099976 4.21635 [{(-32*n^2-128*n-126)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=2,a(1)=20} ogf] A100004 7.35042 [(f(x)-1)^2*(3780691200*x^4+503936*f(x)*x^2-503936*x^2-3*f(x)+3) ogf] A100019 15.0058 [-2*(14+33*x+x^3+12*x^2)/(x-1)/(x+3)/(x^2+4*x+1) lgdogf] A100019 3.84866 [{(-8*n^2-41*n-50)*a(n+1)+(-19*n^2-210*n-471)*a(n+2)+(27*n^2+111*n+114)*a(n+3),a(0)=0,a(1)=3,a(2)=28} ogf] A100019 7.78099 [-x*(x+3)*(x^2+4*x+1)/(x-1)^5 ogf] A100024 7.17705 [-(7+22*x-41*x^6+246*x^5-55*x^4+260*x^3+16*x^7+57*x^2)/(x-1)/(x+1)/(x^6-3*x^5+15*x^4-10*x^3+15*x^2-3*x+1) lgdogf] A100033 4.27195 [{(-32*n^2-160*n-198)*a(n+1)+(2*n^2+11*n+15)*a(n+2),a(0)=3,a(1)=35} ogf] A100033 7.43718 [-1/128*(-3-48*x-128*x^4-256*x^3-176*x^2+(9+32*x+32*x^2)^(1/2))/(2*x+1)^4 revogf] A100036 7.53881 [-(x^7-x^6+2*x^5+x^4-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A100036 9.05364 [(-2-4*x-6*x^6+3*x^5-3*x^2-x^3-11*x^4+2*x^8-2*x^7)/(x-1)/(x+1)/(x^7-x^6+2*x^5+x^4-x^2+x+1) lgdogf] A100037 13.4540 [-(3*x^2-3*x+4)/(x-1)^3 ogf] A100037 26.8403 [-3*(3+x^2)/(x-1)/(3*x^2-3*x+4) lgdogf] A100037 7.26278 [(304*f(x)-1)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-3*x+4) ogf] A100037 7.26278 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=9,a(2)=18} ogf] A100038 12.8950 [-(6*x^2-13*x+11)/(x-1)^3 ogf] A100038 20.4354 [-2*(10-7*x+3*x^2)/(x-1)/(6*x^2-13*x+11) lgdogf] A100038 6.76984 [(5552*f(x)+21075)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-13*x+11) ogf] A100038 7.06419 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=20,a(2)=33} ogf] A100039 12.8138 [-(13*x^2-31*x+22)/(x-1)^3 ogf] A100039 20.1170 [-(35-36*x+13*x^2)/(x-1)/(13*x^2-31*x+22) lgdogf] A100039 6.72198 [(9392*f(x)+125199)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)-31*x+22) ogf] A100039 7.13115 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=22,a(1)=35,a(2)=52} ogf] A100040 12.7303 [(4*x^2-13*x+5)/(x-1)^3 ogf] A100040 21.1238 [-2*(1-9*x+2*x^2)/(x-1)/(4*x^2-13*x+5) lgdogf] A100040 6.41691 [-(2608*f(x)-16087)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+13*x-5) ogf] A100040 7.04715 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-5,a(1)=-2,a(2)=5} ogf] A100041 13.4330 [(2*x-1)*(3*x-7)/(x-1)^3 ogf] A100041 21.1555 [-2*(2-11*x+3*x^2)/(x-1)/(2*x-1)/(3*x-7) lgdogf] A100041 6.77113 [-(2864*f(x)-24087)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+17*x-7) ogf] A100041 7.43615 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-7,a(1)=-4,a(2)=3} ogf] A100047 11.4226 [-x*(x-1)*(x+1)/(x^4-x^3+x^2-x+1) ogf] A100047 16.1243 [-(1-4*x+2*x^5-x^4-4*x^3+4*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) lgdogf] A100047 22.4432 [x^9-x^4-2*x+1 ogf_with_Euler_transform] A100047 7.20843 [-f(x)*x^4+f(x)*x^3-f(x)*x^2-x^3+f(x)*x-f(x)+x ogf] A100048 11.1583 [-x*(x-1)*(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A100048 11.1660 [-2*(1-2*x+x^5-x^4-2*x^3+4*x^2)/(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A100048 5.80233 [(7*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+x^3-2*f(x)*x+f(x)-x) ogf] A100049 10.2228 [-(x-1)*(x+1)*(x^2+1)^2/(x^6+2*x^4-x^3+2*x^2+1) ogf] A100049 11.1942 [x*(2+10*x^4-3*x^5-3*x+10*x^2+2*x^3+2*x^6)/(x-1)/(x+1)/(x^2+1)/(x^6+2*x^4-x^3+2*x^2+1) lgdogf] A100050 13.8453 [-x*(x-1)*(x+1)/(x^2-x+1)^2 ogf] A100050 27.2015 [2*x^5-2*x^2-3*x+2 ogf_with_Euler_transform] A100050 31.7145 [-2*(1-3*x+x^3)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A100050 5.20199 [{(n^2+5*n+6)*a(n+1)+(-n^2-4*n-3)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A100050 6.97632 [-(9*f(x)-5)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-2*f(x)*x+f(x)-x) ogf] A100051 13.4811 [-(x-1)*(x+1)/(x^2-x+1) ogf] A100051 19.9552 [x^5-x^2-2*x+1 ogf_with_Euler_transform] A100051 23.6192 [-(1-4*x+x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A100051 6.47624 [{a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=-1} ogf] A100051 9.85934 [-f(x)*x^2+f(x)*x-x^2-f(x)+1 ogf] A100052 14.4818 [-3*(1-x-2*x^2-x^3+x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A100052 20.3877 [2*x^5-3*x^2-3*x+3 ogf_with_Euler_transform] A100052 4.86019 [(36*f(x)+47)*(f(x)*x^4-2*f(x)*x^3+x^4+3*f(x)*x^2+x^3-2*f(x)*x+f(x)-x-1) ogf] A100052 8.77358 [-(x-1)*(x+1)*(x^2+x+1)/(x^2-x+1)^2 ogf] A100058 17.6114 [1/(2*x^3-x^2-3*x+1) ogf] A100058 18.7820 [-(-3-2*x+6*x^2)/(-x^2+1-3*x+2*x^3) lgdogf] A100058 5.76655 [{a(n+3)-3*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A100058 6.2059 [-(73*f(x)+60)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A100059 4.9708 [(3257*f(x)+2282)*(2*f(x)*x^3-f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A100059 5.14675 [{-a(n+3)+3*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A100059 9.53415 [-(2*x^2-2*x-1)/(2*x^3-x^2-3*x+1) ogf] A100059 9.80812 [-(5-2*x-8*x^3+4*x^4+2*x^2)/(2*x^2-2*x-1)/(2*x^3-x^2-3*x+1) lgdogf] A100061 3.84566 [-(81*x^2+9*x+1)*(531441*x^6+729*x^3+1)/(9*x-1)/(4782969*x^8+1062882*x^7+177147*x^6+26244*x^5+3645*x^4+486*x^3+63*x^2+8*x+1) ogf] A100062 10.6721 [{a(n+1)-9*a(n),a(0)=9} ogf] A100062 13.5354 [-9*f(x)*x+f(x)-9 ogf] A100062 22.1980 [-9/(9*x-1) ogf] A100062 49.3991 [1/9*ln(x+1) revegf] A100062 54.3390 [-9/(9*x-1) lgdogf] A100063 14.4468 [-(x^2+1)*(x+1)/(x-1)/(x^2+x+1) ogf] A100063 14.9160 [-(1+2*x+2*x^3+x^4+6*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A100063 24.8915 [[-x^3+x^2+1] ogf_with_Euler_transform] A100063 8.57776 [{-a(n+4)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A100063 9.92127 [(f(x)-2)*(f(x)*x^3+x^3+x^2-f(x)+x+1) ogf] A100066 18.9298 [-(-1-4*x+8*x^2)/(x-1)/(2*x+1)/(2*x-1) lgdogf] A100066 3.64651 [{(-3-n)*a(n+4)+(n+3)*a(n+3)+(4*n+8)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A100066 6.90359 [-4*f(x)^2*x^4+8*f(x)^2*x^3-3*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-x^2 ogf] A100067 7.78215 [-20*f(x)^2*x^3+8*f(x)^2*x^2+5*f(x)^2*x-8*f(x)*x^2-2*f(x)^2+2*f(x)-x ogf] A100068 7.1952 [-40*f(x)^2*x^3+12*f(x)^2*x^2+10*f(x)^2*x-12*f(x)*x^2-3*f(x)^2+3*f(x)-x ogf] A100069 7.12168 [-68*f(x)^2*x^3+16*f(x)^2*x^2+17*f(x)^2*x-16*f(x)*x^2-4*f(x)^2+4*f(x)-x ogf] A100071 24.4195 [-2*(4*x+1)/(-1+2*x)/(2*x+1) lgdogf] A100071 5.03480 [{(-2-n)*a(n+3)+2*a(n+2)+(8+4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A100071 7.69687 [-16*f(x)^2*x^4+16*f(x)^2*x^3-4*f(x)^2*x+f(x)^2-x^2 ogf] A100087 11.4892 [-5*f(x)^2*x+2*f(x)^2+2*f(x)*x-2*f(x)-x ogf] A100087 5.17722 [{-20*a(n)*n+8*a(n+1)*n+(5*n+15)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A100088 12.6365 [(x-1)*(x+1)/(2*x-1)/(x^2+1) ogf] A100088 14.4142 [-2*(-1+2*x-4*x^2+x^4)/(x-1)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A100088 6.43108 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A100088 6.99302 [-f(x)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x-x^2-f(x)+1) ogf] A100095 6.63684 [20*f(x)^2*x^4-9*f(x)^2*x^2+8*f(x)*x^3+f(x)^2-2*f(x)*x+x^2 ogf] A100096 4.95808 [-40*f(x)^2*x^4-4*f(x)^2*x^3+18*f(x)^2*x^2-12*f(x)*x^3+f(x)^2*x-2*f(x)^2+3*f(x)*x-x^2 ogf] A100097 5.9639 [32*f(x)^2*x^4-12*f(x)^2*x^2+8*f(x)*x^3+f(x)^2-2*f(x)*x+x^2 ogf] A100098 13.5379 [1/2/(1+2*x+10*x^2)*(-1-x+3*(1+2*x+9*x^2)^(1/2))*x revogf] A100098 3.38414 [{(20*n+40)*a(n+1)+(-8*n-26)*a(n+2)+(-5*n-16)*a(n+3)+(2*n+8)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=7} ogf] A100098 7.35681 [10*f(x)^2*x^2+f(x)^2*x-2*f(x)^2+2*f(x)*x+f(x)+1 ogf] A100098 9.34307 [1/2*(-40*x^2+18*x+1+3*(-(2*x-1)*(2*x+1))^(1/2))/(5*x-2)/(2*x-1)/(2*x+1) lgdogf] A100099 6.12236 [-20*f(x)^2*x^3+8*f(x)^2*x^2+5*f(x)^2*x-4*f(x)*x^2-2*f(x)^2+f(x)-x ogf] A100102 10.6106 [-(13*x^2-9*x+2)/(4*x-1)/(x-1)^2 ogf] A100102 12.4066 [-(-3+7*x+52*x^3-20*x^2)/(x-1)/(4*x-1)/(13*x^2-9*x+2) lgdogf] A100102 5.82173 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=2,a(1)=3,a(2)=13} ogf] A100102 6.85915 [(9*f(x)-202)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+13*x^2-f(x)-9*x+2) ogf] A100103 10.7845 [-(9*x^2-4*x+1)/(4*x-1)/(x-1)^2 ogf] A100103 12.9029 [-2*(-1-x+18*x^3+2*x^2)/(x-1)/(4*x-1)/(9*x^2-4*x+1) lgdogf] A100103 5.7205 [(981*f(x)-757)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+9*x^2-f(x)-4*x+1) ogf] A100103 5.82173 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=12} ogf] A100104 10.7463 [(x^3+7*x^2-3*x+1)/(x-1)^4 ogf] A100104 18.8935 [-(1+5*x+x^3+17*x^2)/(x-1)/(x^3+7*x^2-3*x+1) lgdogf] A100104 4.35507 [{(-169*n^2-809*n-942)*a(n+1)+(218*n^2+600*n+234)*a(n+2)+(-49*n^2-151*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A100104 5.70665 [(17766*f(x)+34463)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-7*x^2+f(x)+3*x-1) ogf] A100109 10.4849 [-(2*x^3-9*x^2+2*x-1)/(x-1)^4 ogf] A100109 16.8593 [-2*(-1-6*x+x^3-6*x^2)/(x-1)/(2*x^3-9*x^2+2*x-1) lgdogf] A100109 4.41168 [{(11*n^2+63*n+82)*a(n+1)+(-16*n^2-64*n-52)*a(n+2)+(5*n^2+19*n+12)*a(n+3),a(0)=1,a(1)=2,a(2)=11} ogf] A100109 5.5297 [(44442*f(x)+202069)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-9*x^2+f(x)+2*x-1) ogf] A100119 17.5584 [-(-2-4*x-7*x^2+x^3)/(x-1)/(x^3-5*x^2+2*x-1) lgdogf] A100119 4.05242 [{(137*n^2+765*n+982)*a(n+1)+(-192*n^2-708*n-476)*a(n+2)+(55*n^2+189*n+72)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A100119 5.31007 [(21006*f(x)+43441)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)+2*x-1) ogf] A100119 9.99948 [-(x^3-5*x^2+2*x-1)/(x-1)^4 ogf] A100130 11.3492 [-(24*x^2-24*x+24)/(-x^4+1) ogf_with_Euler_transform] A100130 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi) A100131 13.0914 [(2*x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A100131 14.7878 [-2*(1-3*x+3*x^3+x^2)/(x-1)/(2*x-1)/(x^2+2*x-1) lgdogf] A100131 3.54003 [{(n+3)*a(n+1)+(n+4)*a(n+2)+(-3*n-7)*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A100131 7.30362 [f(x)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A100132 11.6969 [-2*(-1+4*x+6*x^4-4*x^3-4*x^2)/(2*x-1)/(2*x^4-4*x^2+4*x-1) lgdogf] A100132 12.8339 [(2*x-1)/(2*x^4-4*x^2+4*x-1) ogf] A100132 6.87064 [-f(x)*(2*f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A100133 11.1658 [-2*(-1+4*x-4*x^2-6*x^3+9*x^4)/(2*x-1)/(3*x^4-4*x^2+4*x-1) lgdogf] A100133 12.2600 [(2*x-1)/(3*x^4-4*x^2+4*x-1) ogf] A100133 6.30854 [(f(x)-1)*(3*f(x)*x^4-4*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A100134 10.7459 [-(-1+3*x+4*x^6-6*x^5+x^3-3*x^2)/(x-1)/(x^2+x-1)/(x^4-x^3+2*x^2-2*x+1) lgdogf] A100134 10.9597 [-(x-1)^2/(x^2+x-1)/(x^4-x^3+2*x^2-2*x+1) ogf] A100135 10.8601 [-(x-1)^2/(2*x^6+x^3-3*x^2+3*x-1) ogf] A100135 11.8515 [-(-1+3*x+8*x^6-12*x^5-3*x^2+x^3)/(x-1)/(2*x^6+x^3-3*x^2+3*x-1) lgdogf] A100136 10.9374 [-(x-1)^2/(3*x^6+x^3-3*x^2+3*x-1) ogf] A100136 11.7498 [-(-1+3*x+12*x^6-18*x^5+x^3-3*x^2)/(x-1)/(3*x^6+x^3-3*x^2+3*x-1) lgdogf] A100137 10.4001 [-(2*x-1)^2/(x^2+2*x-1)/(x^4-2*x^3+5*x^2-4*x+1) ogf] A100137 8.92837 [-2*(-1+6*x+4*x^6-3*x^5+8*x^3-12*x^2)/(2*x-1)/(x^2+2*x-1)/(x^4-2*x^3+5*x^2-4*x+1) lgdogf] A100138 10.0578 [-(2*x-1)^2/(2*x^6+8*x^3-12*x^2+6*x-1) ogf] A100138 9.72456 [-2*(-1+6*x+8*x^6-6*x^5+8*x^3-12*x^2)/(2*x-1)/(2*x^6+8*x^3-12*x^2+6*x-1) lgdogf] A100139 10.2036 [-(2*x-1)^2/(3*x^6+8*x^3-12*x^2+6*x-1) ogf] A100139 9.73121 [-2*(-1+6*x-9*x^5+12*x^6+8*x^3-12*x^2)/(2*x-1)/(3*x^6+8*x^3-12*x^2+6*x-1) lgdogf] A100145 16.1197 [-6*(20+93*x+35*x^2)/(x-1)/(105*x^2+116*x+1) lgdogf] A100145 4.39137 [(64662519566187*f(x)+6058884262005787)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-105*x^2+f(x)-116*x-1) ogf] A100145 9.68508 [(105*x^2+116*x+1)/(x-1)^4 ogf] A100146 15.4308 [-2*(24+101*x+35*x^2)/(x-1)/(35*x^2+44*x+1) lgdogf] A100146 4.32651 [(73901696000*f(x)+2529223721807)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-35*x^2+f(x)-44*x-1) ogf] A100146 9.32332 [(35*x^2+44*x+1)/(x-1)^4 ogf] A100147 16.0846 [-6*(5+20*x+7*x^2)/(x-1)/(21*x^2+26*x+1) lgdogf] A100147 5.50488 [-(27101088*f(x)+554600083)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-26*x-1) ogf] A100147 9.03045 [(21*x^2+26*x+1)/(x-1)^4 ogf] A100148 16.0607 [-6*(10+45*x+17*x^2)/(x-1)/(51*x^2+56*x+1) lgdogf] A100148 4.22863 [-(430405956504*f(x)+19586065330829)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-51*x^2+f(x)-56*x-1) ogf] A100148 9.46977 [(51*x^2+56*x+1)/(x-1)^4 ogf] A100149 15.8180 [-4*(6+23*x+8*x^2)/(x-1)/(16*x^2+20*x+1) lgdogf] A100149 4.20509 [(1959713917*f(x)+30915986121)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-16*x^2+f(x)-20*x-1) ogf] A100149 8.88401 [(16*x^2+20*x+1)/(x-1)^4 ogf] A100150 15.0464 [-2*(12+47*x+17*x^2)/(x-1)/(17*x^2+20*x+1) lgdogf] A100150 4.20509 [(1697197819*f(x)+27296718679)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-17*x^2+f(x)-20*x-1) ogf] A100150 8.88401 [(17*x^2+20*x+1)/(x-1)^4 ogf] A100151 16.0607 [-4*(15+68*x+26*x^2)/(x-1)/(52*x^2+56*x+1) lgdogf] A100151 4.2825 [(2413616773895*f(x)+110618318190639)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-52*x^2+f(x)-56*x-1) ogf] A100151 9.46977 [(52*x^2+56*x+1)/(x-1)^4 ogf] A100152 15.5514 [-4*(6+20*x+5*x^2)/(x-1)/(10*x^2+20*x+1) lgdogf] A100152 4.3081 [(3247219*f(x)+45917125)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-10*x^2+f(x)-20*x-1) ogf] A100152 8.73756 [(10*x^2+20*x+1)/(x-1)^4 ogf] A100153 16.4623 [-12*(5+21*x+7*x^2)/(x-1)/(42*x^2+56*x+1) lgdogf] A100153 4.2825 [(4298322688605*f(x)+183481478525507)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-42*x^2+f(x)-56*x-1) ogf] A100153 9.46977 [(42*x^2+56*x+1)/(x-1)^4 ogf] A100154 16.0607 [-12*(2*x+5)*(4*x+1)/(x-1)/(48*x^2+56*x+1) lgdogf] A100154 4.2825 [(5909074817625*f(x)+263214641592569)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-48*x^2+f(x)-56*x-1) ogf] A100154 9.46977 [(48*x^2+56*x+1)/(x-1)^4 ogf] A100155 15.7291 [-2*(x+3)*(13*x+4)/(x-1)/(13*x^2+20*x+1) lgdogf] A100155 4.2385 [(311371201*f(x)+4640976695)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-13*x^2+f(x)-20*x-1) ogf] A100155 8.83520 [(13*x^2+20*x+1)/(x-1)^4 ogf] A100156 16.0414 [-4*(3+7*x+x^2)/(-1+x)/(2*x^2+8*x+1) lgdogf] A100156 4.02316 [(11045969*f(x)+62124143)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-8*x-1) ogf] A100156 8.33787 [(2*x^2+8*x+1)/(x-1)^4 ogf] A100157 15.0486 [-2*(7+20*x+5*x^2)/(x-1)/(5*x^2+10*x+1) lgdogf] A100157 4.30669 [(1248*f(x)+9089)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-10*x-1) ogf] A100157 8.36729 [(5*x^2+10*x+1)/(x-1)^4 ogf] A100158 15.6783 [-2*(31+138*x+51*x^2)/(x-1)/(51*x^2+58*x+1) lgdogf] A100158 4.45267 [(3102534380*f(x)+144369484937)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-51*x^2+f(x)-58*x-1) ogf] A100158 9.46977 [(51*x^2+58*x+1)/(x-1)^4 ogf] A100159 15.7609 [-2*(31+142*x+55*x^2)/(x-1)/(55*x^2+58*x+1) lgdogf] A100159 4.47562 [(9692123668*f(x)+463572873955)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-55*x^2+f(x)-58*x-1) ogf] A100159 9.51858 [(55*x^2+58*x+1)/(x-1)^4 ogf] A100160 16.1453 [-2*(31+144*x+57*x^2)/(x-1)/(57*x+1)/(x+1) lgdogf] A100160 4.38843 [(161854281596*f(x)+7848280970867)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-57*x^2+f(x)-58*x-1) ogf] A100160 9.51858 [(x+1)*(57*x+1)/(x-1)^4 ogf] A100161 15.1309 [-2*(13+50*x+17*x^2)/(x-1)/(17*x^2+22*x+1) lgdogf] A100161 4.40437 [(1419000*f(x)+24316889)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-17*x^2+f(x)-22*x-1) ogf] A100161 8.93282 [(17*x^2+22*x+1)/(x-1)^4 ogf] A100162 15.2154 [-2*(13+52*x+19*x^2)/(x-1)/(19*x^2+22*x+1) lgdogf] A100162 4.36778 [(25285960*f(x)+448855593)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-19*x^2+f(x)-22*x-1) ogf] A100162 8.98163 [(19*x^2+22*x+1)/(x-1)^4 ogf] A100163 15.5958 [-2*(13+54*x+21*x^2)/(x-1)/(21*x+1)/(1+x) lgdogf] A100163 4.30875 [(494226920*f(x)+9089120351)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-22*x-1) ogf] A100163 8.98163 [(x+1)*(21*x+1)/(x-1)^4 ogf] A100164 15.3000 [-2*(16+63*x+21*x^2)/(x-1)/(21*x^2+28*x+1) lgdogf] A100164 5.81501 [(115475*f(x)+2485283)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-28*x-1) ogf] A100164 9.03045 [(21*x^2+28*x+1)/(x-1)^4 ogf] A100165 15.4690 [-2*(16+67*x+25*x^2)/(x-1)/(25*x^2+28*x+1) lgdogf] A100165 4.4696 [(6251661*f(x)+142281235)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-25*x^2+f(x)-28*x-1) ogf] A100165 9.12807 [(25*x^2+28*x+1)/(x-1)^4 ogf] A100166 15.7609 [-2*(31+140*x+53*x^2)/(x-1)/(53*x^2+58*x+1) lgdogf] A100166 4.47562 [(4177147296*f(x)+197066598499)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-53*x^2+f(x)-58*x-1) ogf] A100166 9.51858 [(53*x^2+58*x+1)/(x-1)^4 ogf] A100167 4.31496 [-(41614500*f(x)+1078164023)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-25*x^2+f(x)-34*x-1) ogf] A100167 9.17689 [(25*x^2+34*x+1)/(x-1)^4 ogf] A100168 4.46273 [(28518735*f(x)+764875403)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-28*x^2+f(x)-34*x-1) ogf] A100168 9.17689 [(28*x^2+34*x+1)/(x-1)^4 ogf] A100169 16.0909 [-4*(23+104*x+38*x^2)/(x-1)/(76*x^2+88*x+1) lgdogf] A100169 4.56743 [(1746877605*f(x)+122258538653)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-76*x^2+f(x)-88*x-1) ogf] A100169 9.71383 [(76*x^2+88*x+1)/(x-1)^4 ogf] A100170 16.0909 [-4*(23+107*x+41*x^2)/(x-1)/(82*x^2+88*x+1) lgdogf] A100170 4.56743 [(5456999823*f(x)+392501106641)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-82*x^2+f(x)-88*x-1) ogf] A100170 9.71383 [(82*x^2+88*x+1)/(x-1)^4 ogf] A100171 14.5561 [-2*(7+25*x+10*x^2)/(x-1)/(10*x^2+10*x+1) lgdogf] A100171 4.19793 [(627347*f(x)+5449625)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-10*x^2+f(x)-10*x-1) ogf] A100171 8.39587 [(10*x^2+10*x+1)/(x-1)^4 ogf] A100172 15.8558 [-4*(8+35*x+14*x^2)/(x-1)/(28*x^2+28*x+1) lgdogf] A100172 4.43899 [(37751936*f(x)+896047269)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-28*x^2+f(x)-28*x-1) ogf] A100172 9.12807 [(28*x^2+28*x+1)/(x-1)^4 ogf] A100173 15.8558 [-4*(8+34*x+13*x^2)/(x-1)/(26*x^2+28*x+1) lgdogf] A100173 4.40879 [(48335265*f(x)+1115593007)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-26*x^2+f(x)-28*x-1) ogf] A100173 9.12807 [(26*x^2+28*x+1)/(x-1)^4 ogf] A100174 15.2310 [-2*(3*x+7)*(3*x+1)/(x-1)/(9*x+1)/(x+1) lgdogf] A100174 4.14434 [(4575500*f(x)+38296019)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-10*x-1) ogf] A100174 8.46631 [(x+1)*(9*x+1)/(x-1)^4 ogf] A100175 23.6574 [-4*(2+x)/(2*x+1)/(-1+x) lgdogf] A100175 3.69526 [{(n+3)*a(n+3)+(-6+n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=30} ogf] A100175 6.22015 [(585*f(x)+2153)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-4*x-1) ogf] A100175 8.08672 [(2*x+1)^2/(x-1)^4 ogf] A100176 10.5233 [(5*x^2+12*x+1)/(x-1)^4 ogf] A100176 19.0048 [-2*(8+23*x+5*x^2)/(x-1)/(5*x^2+12*x+1) lgdogf] A100176 5.08019 [(23379759*f(x)+197523779)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-12*x-1) ogf] A100177 10.9552 [-(4*x^3+8*x^2-x+1)/(x-1)^5 ogf] A100177 20.3947 [-4*(1+3*x+2*x^3+9*x^2)/(x-1)/(4*x^3+8*x^2-x+1) lgdogf] A100177 5.15192 [{(-58*n^2-358*n-552)*a(n+1)+(65*n^2+156*n-80)*a(n+2)+(-7*n^2-2*n+57)*a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A100178 12.4283 [(x+1)*(3*x+1)/(x-1)^4 ogf] A100178 14.7060 [-2*(4+9*x+3*x^2)/(-1+x)/(1+3*x)/(x+1) lgdogf] A100178 4.30932 [{(n+4)*a(n+4)+(1+3*n)*a(n+3)+(-20-n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=1,a(1)=8,a(2)=29,a(3)=72} ogf] A100178 6.21416 [(85760*f(x)+291527)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-4*x-1) ogf] A100179 15.3070 [-(9+23*x+8*x^2)/(-1+x)/(4*x+1)/(x+1) lgdogf] A100179 3.97827 [(4448000*f(x)+18764467)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-5*x-1) ogf] A100179 8.18719 [(x+1)*(4*x+1)/(x-1)^4 ogf] A100182 13.6499 [(2*x^2+4*x+1)/(x-1)^4 ogf] A100182 26.4723 [-4*(2+x^2+4*x)/(-1+x)/(1+4*x+2*x^2) lgdogf] A100182 4.73289 [{(n+4)*a(n+4)+(1+3*n)*a(n+3)+(-20-2*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=28,a(3)=68} ogf] A100182 6.72747 [(342657*f(x)+1090183)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-4*x-1) ogf] A100183 15.7884 [-4*(3+8*x+2*x^2)/(x-1)/(4*x^2+8*x+1) lgdogf] A100183 4.10031 [(8715499*f(x)+51534803)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-8*x-1) ogf] A100183 8.43832 [(4*x^2+8*x+1)/(x-1)^4 ogf] A100184 15.2310 [-4*(4+12*x+3*x^2)/(x-1)/(6*x^2+12*x+1) lgdogf] A100184 4.08718 [(20679885*f(x)+178955987)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-12*x-1) ogf] A100184 8.46631 [(6*x^2+12*x+1)/(x-1)^4 ogf] A100185 13.0518 [-2*(2+7*x+3*x^3+18*x^2)/(x-1)/(3*x^3+9*x^2-x+1) lgdogf] A100185 7.21033 [-(3*x^3+9*x^2-x+1)/(x-1)^5 ogf] A100186 15.0182 [-2*(3*x+8)*(3*x+1)/(x-1)/(9*x^2+12*x+1) lgdogf] A100186 4.13498 [(22487245*f(x)+212092159)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-12*x-1) ogf] A100186 8.56533 [(9*x^2+12*x+1)/(x-1)^4 ogf] A100187 14.9027 [-2*(9+32*x+11*x^2)/(x-1)/(11*x^2+14*x+1) lgdogf] A100187 4.12142 [(360413456*f(x)+3996895247)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-11*x^2+f(x)-14*x-1) ogf] A100187 8.59113 [(11*x^2+14*x+1)/(x-1)^4 ogf] A100188 14.0242 [-2*(-3-9*x+x^3-9*x^2)/(x-1)/(x^3-7*x^2-x-1) lgdogf] A100188 7.09083 [(x^3-7*x^2-x-1)/(x-1)^5 ogf] A100189 13.8630 [-2*(3+9*x+7*x^3+21*x^2)/(x-1)/(1+x)/(7*x^2+1) lgdogf] A100189 3.75115 [{(-4*n^2-25*n-39)*a(n+1)+(4*n^2+6*n-22)*a(n+2)+(3*n+9)*a(n+3),a(0)=1,a(1)=6,a(2)=27} ogf] A100189 7.32984 [-(x+1)*(7*x^2+1)/(x-1)^5 ogf] A100190 10.3272 [(9*x^2+12*x+1)/(3*x-1)^2/(x-1)^2 ogf] A100190 11.0302 [-2*(-10-27*x+27*x^3+54*x^2)/(x-1)/(3*x-1)/(9*x^2+12*x+1) lgdogf] A100190 5.23634 [(149864*f(x)+376609)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2-8*f(x)*x-9*x^2+f(x)-12*x-1) ogf] A100191 10.1593 [-(6+2*x+4*x^4-12*x^3+9*x^2)/(2*x^2-3*x-1)/(2*x^3-3*x^2-3*x+1) lgdogf] A100191 12.2846 [-(2*x^2-3*x-1)/(2*x^3-3*x^2-3*x+1) ogf] A100191 6.35053 [(29259*f(x)+8086)*(2*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-3*x-1) ogf] A100191 6.63153 [{a(n+3)-3*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=6,a(2)=19} ogf] A100192 6.84414 [36*f(x)^2*x^2-17*f(x)^2*x+2*f(x)^2+8*f(x)*x-2*f(x)+x ogf] A100193 6.05666 [-64*f(x)^2*x^2+28*f(x)^2*x-3*f(x)^2-12*f(x)*x+3*f(x)-x ogf] A100206 13.9519 [-x*(x-7)/(x-1)/(2*x-1) ogf] A100206 16.4253 [-1/2*(-7-3*x+(49+38*x+x^2)^(1/2))/(2*x+1) revogf] A100206 18.7066 [-2*(10-14*x+x^2)/(x-1)/(x-7)/(2*x-1) lgdogf] A100206 6.70236 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=0,a(1)=7,a(2)=20} ogf] A100206 8.44001 [f(x)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)-7*x) ogf] A100207 10.3878 [-2*(x^3-6*x^2-5*x-2)/(x-1)^4 ogf] A100207 17.9107 [-(-13-27*x+x^3-9*x^2)/(x-1)/(x^3-6*x^2-5*x-2) lgdogf] A100207 4.10318 [{(-823*n^2-4665*n-6038)*a(n+1)+(458*n^2-1072*n-6238)*a(n+2)+(365*n^2+2173*n+3234)*a(n+3),a(0)=4,a(1)=26,a(2)=92} ogf] A100207 5.47092 [(541188*f(x)+7374401)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-12*x^2+f(x)-10*x-4) ogf] A100212 10.1670 [-(5-8*x-68*x^4+32*x^3+40*x^6+64*x^5-2*x^2)/(x+2)/(2*x^2-1)/(2*x^2-2*x+1)/(2*x^2+1) lgdogf] A100212 9.58391 [-4*x^4*(x+2)/(2*x^2-1)/(2*x^2-2*x+1)/(2*x^2+1) ogf] A100213 6.39116 [-(16*x^6-16*x^5+8*x^4-2*x^2+7*x-4)/(2*x-1)/(2*x^2-1)/(2*x^2-2*x+1)/(2*x^2+1) ogf] A100214 11.5140 [4*(7*x^2-2*x+1)/(x-1)^4 ogf] A100214 21.9814 [-2*(1+4*x+7*x^2)/(x-1)/(7*x^2-2*x+1) lgdogf] A100214 3.99001 [{(n+4)*a(n+4)+(-11-3*n)*a(n+3)+(10+9*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=4,a(1)=8,a(2)=36,a(3)=112} ogf] A100214 6.06003 [(84*f(x)+767)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-28*x^2+f(x)+8*x-4) ogf] A100215 5.19609 [(281*f(x)-5595)*(4*f(x)*x^3-6*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-7*x+4) ogf] A100215 5.33404 [{-a(n+3)+4*a(n+2)-6*a(n+1)+4*a(n),a(0)=4,a(1)=9,a(2)=14} ogf] A100215 9.06581 [-(9-44*x+8*x^4-56*x^3+82*x^2)/(2*x-1)/(2*x^2-7*x+4)/(2*x^2-2*x+1) lgdogf] A100215 9.88110 [-(2*x^2-7*x+4)/(2*x-1)/(2*x^2-2*x+1) ogf] A100216 12.2821 [-2*(-2+7*x-8*x^2+2*x^4)/(x-1)/(2*x-1)/(x+1)/(2*x^2-2*x+1) lgdogf] A100216 12.5253 [(x-1)*(x+1)/(2*x-1)/(2*x^2-2*x+1) ogf] A100216 6.15467 [-(202*f(x)+1583)*(4*f(x)*x^3-6*f(x)*x^2+4*f(x)*x-x^2-f(x)+1) ogf] A100216 6.37448 [{a(n+3)-4*a(n+2)+6*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A100217 4.41763 [4*f(x)^2*x^4-f(x)^2*x^3-4*f(x)^2*x^2+5*f(x)^2*x+4*f(x)*x^2-f(x)^2-5*f(x)*x+f(x)+x ogf] A100219 19.1381 [-x*(4+4*x^2-7*x)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A100219 4.73901 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A100219 6.4942 [-f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)+2*x-1 ogf] A100219 9.92509 [(2*x-1)/(x-1)/(x^2-x+1) ogf] A100223 10.7290 [1/2*(-3*x+1+2*x*(1-2*x+5*x^2)^(1/2)-(1-2*x+5*x^2)^(1/2))/(1-2*x+5*x^2)^(1/2)/(x-1)/x lgdogf] A100223 13.4912 [-f(x)^2+f(x)*x+x^2+f(x)-x ogf] A100223 4.16640 [{(15*n^2-15*n)*a(n)+(-11*n^2-13*n)*a(n+1)+(5*n^2+13*n+6)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A100225 11.8730 [1/2*(1-4*x+2*x*(1+8*x^2)^(1/2)-(1+8*x^2)^(1/2))/(1+8*x^2)^(1/2)/(x-1)/x lgdogf] A100225 11.907 [f(x)^2-2*f(x)*x-x^2-f(x)+x ogf] A100225 3.76955 [{(32*n^2-32*n)*a(n)+(-8*n^2-16*n)*a(n+1)+(4*n^2+8*n)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A100227 11.1121 [-(-1-4*x+3*x^4-4*x^3+10*x^2)/(x-1)/(3*x^2-2*x+1)/(x^2+2*x-1) lgdogf] A100227 12.8352 [(3*x^2-2*x+1)/(x-1)/(x^2+2*x-1) ogf] A100227 6.99062 [(f(x)+11)*(f(x)*x^3+f(x)*x^2-3*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A100227 6.99062 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A100228 12.2551 [-f(x)^2+3*f(x)*x+x^2+f(x)-x ogf] A100228 3.80331 [{(65*n^2-65*n)*a(n)+(-3*n^2-21*n)*a(n+1)+(3*n^2+3*n-6)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A100228 9.26534 [1/2*(-5*x+1+2*x*(1+2*x+13*x^2)^(1/2)-(1+2*x+13*x^2)^(1/2))/(1+2*x+13*x^2)^(1/2)/(x-1)/x lgdogf] A100230 10.3541 [-(-2-4*x+15*x^2-4*x^3+4*x^4)/(x-1)/(4*x^2-2*x+1)/(x^2+3*x-1) lgdogf] A100230 10.3954 [(4*x^2-2*x+1)/(x-1)/(x^2+3*x-1) ogf] A100230 5.41982 [-(13*f(x)-48)*(f(x)*x^3+2*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+2*x-1) ogf] A100230 5.61167 [{-a(n+3)+4*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A100231 12.1652 [-f(x)^2+4*f(x)*x+x^2+f(x)-x ogf] A100231 3.72042 [{(-120*n^2+120*n)*a(n)+(-4*n^2+28*n)*a(n+1)+(-2*n^2+2*n+12)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=3,a(2)=4} ogf] A100231 9.23058 [1/2*(-6*x+1+2*(1+4*x+20*x^2)^(1/2)*x-(1+4*x+20*x^2)^(1/2))/(x-1)/(1+4*x+20*x^2)^(1/2)/x lgdogf] A100233 10.0858 [-(-3-4*x+22*x^2-4*x^3+5*x^4)/(x-1)/(5*x^2-2*x+1)/(x^2+4*x-1) lgdogf] A100233 12.1368 [(5*x^2-2*x+1)/(x-1)/(x^2+4*x-1) ogf] A100233 6.43775 [(145*f(x)-321)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x-5*x^2+f(x)+2*x-1) ogf] A100233 6.55170 [{-a(n+3)+5*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=17} ogf] A100234 11.6878 [-f(x)^2+5*f(x)*x+x^2+f(x)-x ogf] A100234 3.55715 [{(-203*n^2+203*n)*a(n)+(-13*n^2+37*n)*a(n+1)+(-n^2+7*n+18)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=4,a(2)=5} ogf] A100236 4.75867 [-(493*f(x)-877)*(f(x)*x^3+4*f(x)*x^2-6*f(x)*x-6*x^2+f(x)+2*x-1) ogf] A100236 5.01134 [{-a(n+3)+6*a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=26} ogf] A100236 9.23504 [-(-4-4*x-4*x^3+6*x^4+31*x^2)/(x-1)/(6*x^2-2*x+1)/(x^2+5*x-1) lgdogf] A100236 9.28330 [(6*x^2-2*x+1)/(x-1)/(x^2+5*x-1) ogf] A100237 15.5345 [1/2/(x-1)*(-1-5*x+(1+6*x+29*x^2)^(1/2)) revogf] A100237 16.5965 [(x-1)/(x^2+5*x-1) ogf] A100237 19.5433 [-(-4-2*x+x^2)/(x-1)/(x^2+5*x-1) lgdogf] A100237 8.29825 [-(11*f(x)-3)*(f(x)*x^2+5*f(x)*x-f(x)-x+1) ogf] A100237 9.10783 [{-a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=4} ogf] A100238 12.513 [-f(x)^2+2*f(x)*x-2*x^2+f(x) ogf] A100238 5.19907 [{(-4*n+4)*a(n)+(4*n+2)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2,a(2)=-2} ogf] A100239 12.4936 [-f(x)^2+3*f(x)*x-3*x^2+f(x) ogf] A100239 5.19101 [{(3*n-3)*a(n)+(-6*n-3)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=3,a(2)=-3} ogf] A100240 14.5503 [-x^2+2*x-1-4*f(x)*x+f(x)^2 ogf] A100240 15.3800 [-(-1+2*x-5*x^2+2*(1-2*x+5*x^2)^(1/2))/(x-1)/(1-2*x+5*x^2) lgdogf] A100240 4.12622 [{(5*n^2-5*n)*a(n)+(-7*n^2-11*n)*a(n+1)+(3*n^2+9*n+6)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A100242 11.5702 [-2*(13+116*x+x^4+50*x^3+180*x^2)/(x-1)/(x^4+32*x^3+66*x^2+20*x+1) lgdogf] A100242 6.86904 [x*(x^4+32*x^3+66*x^2+20*x+1)/(x-1)^6 ogf] A100244 5.11943 [(5*x^6-6*x^5-3*x^4+6*x^3-3*x^2-15*x^16+36*x^18-21*x^20-18*x^17-18*x^19+20*x^21+16*x^15+2)/(-1+x)/(x^21-x^19+x^18-x^16+x^6-x^4+x^3-x-1) lgdogf] A100244 7.25238 [(x^21-x^19+x^18-x^16+x^6-x^4+x^3-x-1)/(x-1) ogf] A100255 12.9965 [-(25+138*x+8*x^3+99*x^2)/(x-1)/(4*x^3+29*x^2+20*x+1) lgdogf] A100255 3.50111 [{(-438*n^2-1786*n-1820)*a(n+1)+(711*n^2+2082*n+4796)*a(n+2)+(-273*n^2-956*n-820)*a(n+3),a(0)=0,a(1)=1,a(2)=25} ogf] A100255 7.37868 [-x*(4*x^3+29*x^2+20*x+1)/(x-1)^5 ogf] A100256 13.5857 [-(49+156*x+2*x^3+63*x^2)/(x-1)/(x^3+20*x^2+29*x+4) lgdogf] A100256 3.48324 [{(-273*n^2-1228*n-1364)*a(n+1)+(711*n^2+3606*n+7844)*a(n+2)+(-438*n^2-1718*n-1684)*a(n+3),a(0)=0,a(1)=4,a(2)=49} ogf] A100256 7.41594 [-x*(x^3+20*x^2+29*x+4)/(x-1)^5 ogf] A100261 6.82471 [-(x^11-x^10+2*x^9-2*x^8+x^7-8*x^6-x^5-2*x^4-2*x^3-x^2-x-4)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A100284 10.2289 [-(x^2+4*x-1)/(x-1)/(5*x-1)/(x+1) ogf] A100284 10.9182 [-(1+5*x^4+40*x^3-14*x^2)/(x-1)/(5*x-1)/(x+1)/(x^2+4*x-1) lgdogf] A100284 5.42577 [-(8*f(x)-3)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+x^2+f(x)+4*x-1) ogf] A100284 5.57110 [{a(n+3)-5*a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A100285 14.4468 [-(5*x^2+1)/(x^2+1)/(x-1) ogf] A100285 18.3060 [-(1+8*x+5*x^4-2*x^2)/(x-1)/(5*x^2+1)/(1+x^2) lgdogf] A100285 7.35237 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A100285 9.68783 [f(x)*x^3-f(x)*x^2+f(x)*x+5*x^2-f(x)+1 ogf] A100286 7.73563 [-(2*x^4-2*x^3+2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A100286 8.94962 [-(1+2*x+6*x^6+8*x^3+2*x^8-4*x^7-x^4-5*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^4-2*x^3+2*x^2+1) lgdogf] A100295 14.0902 [-(x-1)/(x^3-2*x^2-4*x+1) ogf] A100295 16.3090 [-(3+4*x+2*x^3-5*x^2)/(-1+x)/(x^3-2*x^2-4*x+1) lgdogf] A100295 6.60867 [{-a(n+3)+4*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=14} ogf] A100295 7.04509 [(807*f(x)-79)*(f(x)*x^3-2*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A100296 12.4534 [-(x^2-2*x-1)/(x^3-2*x^2-4*x+1) ogf] A100296 13.8293 [-(6+2*x+x^4-4*x^3+5*x^2)/(x^2-2*x-1)/(x^3-2*x^2-4*x+1) lgdogf] A100296 6.54875 [(6439*f(x)+654)*(f(x)*x^3-2*f(x)*x^2-4*f(x)*x+x^2+f(x)-2*x-1) ogf] A100296 6.72262 [{a(n+3)-4*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=25} ogf] A100297 10.5816 [-(x^2-11*x+1)/(x^3-14*x^2+17*x-1) ogf] A100297 5.41777 [(4901815*f(x)+324714)*(f(x)*x^3-14*f(x)*x^2+17*f(x)*x+x^2-f(x)-11*x+1) ogf] A100297 5.88888 [{-a(n+3)+17*a(n+2)-14*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=89} ogf] A100299 5.88333 [4*f(x)^2*x^4+8*f(x)^2*x^3+4*f(x)^2*x^2+7*f(x)*x^3+9*f(x)*x^2+f(x)*x+3*x^2-f(x)+2*x ogf] A100300 10.9190 [-(2*(x^2+1-6*x)^(1/2)*x+(x^2+1-6*x)^(1/2)-1+x^2)/(x+1)/x/(x^2+1-6*x)^(1/2) lgdogf] A100300 6.26748 [4*f(x)^2*x^4+8*f(x)^2*x^3+4*f(x)^2*x^2-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1 ogf] A100302 10.3618 [-(2*x+1)*(3*x-1)/(x-1)/(8*x^2+x-1) ogf] A100302 5.64349 [{a(n+3)-2*a(n+2)-7*a(n+1)+8*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A100302 7.1555 [(f(x)-10)*(8*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+6*x^2+f(x)+x-1) ogf] A100302 9.67248 [-(1+2*x-19*x^2+16*x^3+48*x^4)/(x-1)/(-1+3*x)/(2*x+1)/(8*x^2+x-1) lgdogf] A100303 11.4298 [8*f(x)*x^2+f(x)*x-4*x^2-f(x)-x+1 ogf] A100303 11.9874 [(4*x^2+x-1)/(8*x^2+x-1) ogf] A100303 17.8730 [-4*x*(-2+x)/(4*x^2+x-1)/(8*x^2+x-1) lgdogf] A100303 6.29040 [{-a(n+3)+a(n+2)+8*a(n+1),a(0)=1,a(1)=0,a(2)=4} ogf] A100304 11.0978 [8*f(x)*x^2+f(x)*x-6*x^2-f(x)-x+1 ogf] A100304 12.6859 [(2*x+1)*(3*x-1)/(8*x^2+x-1) ogf] A100304 16.9863 [-2*x*(-2+x)/(3*x-1)/(2*x+1)/(8*x^2+x-1) lgdogf] A100304 6.65694 [{-a(n+3)+a(n+2)+8*a(n+1),a(0)=1,a(1)=0,a(2)=2} ogf] A100305 10.7357 [-(4*x^2+x-1)/(x-1)/(8*x^2+x-1) ogf] A100305 10.8787 [-(1+6*x+32*x^4+16*x^3-23*x^2)/(x-1)/(4*x^2+x-1)/(8*x^2+x-1) lgdogf] A100305 5.84712 [{a(n+3)-2*a(n+2)-7*a(n+1)+8*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A100305 7.7731 [-f(x)*(8*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+x-1) ogf] A100312 23.6281 [-2*(-2+x)/(2*x-1)/(x-1) lgdogf] A100312 4.79447 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=8,a(1)=32,a(2)=104} ogf] A100312 6.73459 [(5*f(x)-29)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-4*x^2-f(x)+2*x+1) ogf] A100312 8.82792 [-8*(x-1)^2/(2*x-1)^3 ogf] A100313 24.7888 [-2*(-3+2*x)/(2*x-1)/(x-1) lgdogf] A100313 4.08021 [{(n+3)*a(n+3)+(-12-3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=16,a(1)=96,a(2)=400} ogf] A100313 4.82681 [(134*f(x)+1659)*(16*f(x)*x^4-32*f(x)*x^3-16*x^4+24*f(x)*x^2+16*x^3-8*f(x)*x+8*x^2+f(x)-8*x-1) ogf] A100313 8.43243 [16*(x-1)^2/(2*x-1)^4 ogf] A100314 10.5939 [-2*(x^2-4*x+2)/(2*x-1)/(x-1)^2 ogf] A100314 13.1796 [-2*(-2+7*x-7*x^2+x^3)/(x-1)/(-1+2*x)/(x^2-4*x+2) lgdogf] A100314 5.71883 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=4,a(1)=8,a(2)=14} ogf] A100314 7.34658 [(f(x)-33)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+1) ogf] A100315 12.6325 [-2*(3*x^2-9*x+4)/(2*x-1)/(x-1)^2 ogf] A100315 14.7929 [-(-7+27*x-30*x^2+6*x^3)/(x-1)/(-1+2*x)/(3*x^2-9*x+4) lgdogf] A100315 6.53244 [(8*f(x)-223)*(2*f(x)*x^3-5*f(x)*x^2+4*x^3+4*f(x)*x-13*x^2-f(x)+4*x+1) ogf] A100315 6.87033 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=8,a(1)=14,a(2)=22} ogf] A100316 12.3470 [-2*(9*x^2-20*x+8)/(2*x-1)/(x-1)^2 ogf] A100316 14.1132 [-2*(-6+25*x-31*x^2+9*x^3)/(-1+x)/(2*x-1)/(9*x^2-20*x+8) lgdogf] A100316 6.33079 [-(3*f(x)-83)*(2*f(x)*x^3-5*f(x)*x^2+16*x^3+4*f(x)*x-35*x^2-f(x)+12*x+1) ogf] A100316 6.87140 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=16,a(1)=24,a(2)=34} ogf] A100320 16.4915 [-4*(2+(1-4*x)^(1/2))/(4*x+3)/(-1+4*x) lgdogf] A100320 6.48852 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=4} ogf] A100320 8.08959 [-4*f(x)^2*x+f(x)^2-8*f(x)*x+2*f(x)-4*x-3 ogf] A100321 11.9451 [-(3*x^3-3*x-1)/(2*x+1)/(x-1)/(x^2-x-1) ogf] A100321 12.2647 [-(1+4*x+6*x^6+6*x^2-2*x^3-12*x^4)/(x-1)/(1+2*x)/(x^2-x-1)/(3*x^3-3*x-1) lgdogf] A100321 6.34007 [(f(x)-13)*(2*f(x)*x^4-3*f(x)*x^3-2*f(x)*x^2+3*x^3+2*f(x)*x+f(x)-3*x-1) ogf] A100325 3.58953 [-5*f(x)^3*x^3+8*f(x)^3*x^2-5*f(x)^3*x-14*f(x)^2*x^2+f(x)^3+16*f(x)^2*x-5*f(x)^2-13*f(x)*x+8*f(x)-4 ogf] A100327 26.8259 [(1-x+(1-4*x)^(1/2))/(x+2)*x revogf] A100327 9.56937 [-f(x)^3*x-2*f(x)^2*x-f(x)*x+2*f(x)-2 ogf] A100328 12.9392 [-(2*(1+4*x)^(1/2)+2*(1+4*x)^(1/2)*x-2-6*x-x^2)/x revogf] A100328 5.55492 [f(x)^3*x^2-2*f(x)^2*x^2-4*f(x)^2*x+f(x)*x^2-12*f(x)*x+4*f(x)-4 ogf] A100329 13.3682 [a(n+4)+a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=-1,a(1)=-1,a(2)=-1,a(3)=7 lgdogf] A100329 14.6887 [-x/(x^4-x^3-x^2-x-1) ogf] A100329 6.4339 [-(3*f(x)-1)*(f(x)*x^4-f(x)*x^3-f(x)*x^2-f(x)*x-f(x)+x) ogf] A100334 13.6064 [-x*(x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A100334 17.0610 [-(2-8*x+10*x^2-8*x^3+3*x^4)/(x-1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A100334 8.58656 [-f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2+3*f(x)*x-x^2-f(x)+x ogf] A100335 10.3082 [-x*(x-1)/(x^2-x+1)/(2*x-1)^2 ogf] A100335 13.7465 [-(-4+10*x-13*x^2+6*x^3)/(x-1)/(-1+2*x)/(x^2-x+1) lgdogf] A100335 5.31775 [(7*f(x)+11)*(4*f(x)*x^4-8*f(x)*x^3+9*f(x)*x^2-5*f(x)*x+x^2+f(x)-x) ogf] A100381 14.7052 [-4*x^2/(2*x-1)^3 ogf] A100381 6.09403 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A100381 66.9772 [-6/(2*x-1) lgdogf] A100381 8.24924 [8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x) ogf] A100401 11.8011 [{-a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=9} ogf] A100401 12.548 [-(5*f(x)-2)*(f(x)*x+6*x^2-f(x)+2*x+1) ogf] A100401 22.0287 [-(6*x^2+2*x+1)/(x-1) ogf] A100401 27.0188 [3*(-1-4*x+2*x^2)/(x-1)/(6*x^2+2*x+1) lgdogf] A100402 12.0889 [-(29*f(x)+186)*(f(x)*x^3+7*x^2-f(x)+4*x+1) ogf] A100402 13.0433 [{a(n+3)-a(n),a(0)=1,a(1)=4,a(2)=7} ogf] A100402 17.0645 [-(4+14*x+7*x^4+8*x^3+3*x^2)/(x-1)/(x^2+x+1)/(7*x^2+4*x+1) lgdogf] A100402 20.2305 [-(7*x^2+4*x+1)/(x-1)/(x^2+x+1) ogf] A100403 11.8011 [{-a(n+3)+a(n+2),a(0)=1,a(1)=6,a(2)=9} ogf] A100403 12.548 [-(f(x)-1)*(f(x)*x+3*x^2-f(x)+5*x+1) ogf] A100403 22.0287 [-(3*x^2+5*x+1)/(x-1) ogf] A100403 28.6082 [3*(-2-2*x+x^2)/(x-1)/(3*x^2+5*x+1) lgdogf] A100404 16.0345 [(x-2)/(x^2+x-1) egf] A100404 8.2937 [(20*f(x)-39)*(f(x)*x^2+f(x)*x-f(x)-x+2) egf] A100406 7.26329 [-(9*x^8+18*x^7+174*x^6+9*x^5+157842*x^4+147*x^3+9*x^2+124875*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A100412 11.0896 [-1/20*(-73-11*x+(5329+1566*x+81*x^2)^(1/2))/(1+x) revogf] A100412 11.5615 [(62*x+1)/(10*x-1)/(x-1) ogf] A100412 11.8128 [-(793-1460*x+100*x^2)/(x-1)/(10*x-73)/(10*x-1) lgdogf] A100412 5.96722 [(783*f(x)+4546)*(10*f(x)*x^2-11*f(x)*x+f(x)-62*x-1) ogf] A100412 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=73} ogf] A100413 10.5395 [-1/20*(-52-11*x+(2704+1224*x+81*x^2)^(1/2))/(-2+x) revogf] A100413 10.9859 [4*(5*x+13)/(10*x-1)/(x-1) ogf] A100413 11.7106 [-2*(-74+130*x+25*x^2)/(x-1)/(5*x+13)/(10*x-1) lgdogf] A100413 5.72671 [(171*f(x)+2060)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-52) ogf] A100413 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=52,a(1)=592} ogf] A100430 13.2744 [-2*(15+85*x+3*x^3+57*x^2)/(x-1)/(3*x^3+35*x^2+25*x+1) lgdogf] A100430 3.85703 [{(-12*n^2-78*n-126)*a(n+1)+(14*n^2+49*n+72)*a(n+2)+(-2*n^2-11*n-15)*a(n+3),a(0)=1,a(1)=30,a(2)=175} ogf] A100430 8.06076 [-(3*x^3+35*x^2+25*x+1)/(x-1)^5 ogf] A100431 20.9675 [-2*(5+12*x+3*x^2)/(x-1)/(2*x^2+5*x+1) lgdogf] A100431 3.91042 [{(n+4)*a(n+4)+(2+4*n)*a(n+3)+(-30-3*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=8,a(1)=80,a(2)=336,a(3)=960} ogf] A100431 9.75191 [-8*(2*x^2+5*x+1)/(x-1)^5 ogf] A100434 13.1030 [-2*(-2+17*x+12*x^2+6*x^3+6*x^4+x^5)/(x+3)/(x+1)/(x^4+6*x^2+1) lgdogf] A100434 13.4258 [(x+3)*(x+1)/(x^4+6*x^2+1) ogf] A100434 7.57692 [(12134*f(x)-11151)*(f(x)*x^4+6*f(x)*x^2-x^2+f(x)-4*x-3) ogf] A100444 3.20092 [{(-4*n^2-18*n-18)*a(n+1)+(4*n^2+26*n+41)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=53} ogf] A100445 2.82634 [{(-4*n^2-22*n-28)*a(n+1)+(4*n^2+30*n+55)*a(n+2)-a(n+3),a(0)=1,a(1)=11,a(2)=309} ogf] A100451 11.1353 [x^2*(2*x^4-4*x^3+7*x-7)/(x-1)^3 ogf] A100451 16.6572 [2*(7-7*x+x^4-4*x^3+6*x^2)/(x-1)/(2*x^4-4*x^3+7*x-7) lgdogf] A100455 12.9493 [(x^2-x-1)/(2*x-1)/(x^2+1) ogf] A100455 15.5160 [-(x-3)*(2*x^3+2*x^2-x+1)/(2*x-1)/(1+x^2)/(x^2-x-1) lgdogf] A100455 7.05272 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=4} ogf] A100455 7.11626 [(9*f(x)+5)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x-x^2-f(x)+x+1) ogf] A100470 13.7165 [-x*(x^10-x-1)/(x+1)/(x-1)^2 ogf] A100470 16.2257 [(2+4*x+7*x^11-x^10-10*x^9+2*x^2)/(x-1)/(x+1)/(x^10-x-1) lgdogf] A100477 10.7296 [x*(x-1)/(x^3+2*x^2+3*x-1) ogf] A100477 13.9984 [-(-2-4*x-x^2+2*x^3)/(x-1)/(x^3+2*x^2+3*x-1) lgdogf] A100477 5.50979 [-(2*f(x)+1)*(f(x)*x^3+2*f(x)*x^2+3*f(x)*x-x^2-f(x)+x) ogf] A100477 5.50979 [{-a(n+3)+3*a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A100503 10.4097 [(2*x^3+5*x^2+1)/(x-1)^4 ogf] A100503 17.7418 [-2*(2+5*x+8*x^2+x^3)/(x-1)/(2*x^3+5*x^2+1) lgdogf] A100503 4.15251 [{(-17*n^2-79*n-90)*a(n+1)+(14*n^2-5*n-102)*a(n+2)+(3*n^2+24*n+45)*a(n+3),a(0)=1,a(1)=4,a(2)=15} ogf] A100503 5.58757 [(88*f(x)+159)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-5*x^2+f(x)-1) ogf] A100504 11.8044 [2*(3*x^2+1)/(x-1)^4 ogf] A100504 23.5166 [-2*(2+3*x+3*x^2)/(x-1)/(3*x^2+1) lgdogf] A100504 4.03835 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+3*n*a(n+2)+(-9-3*n)*a(n+1),a(0)=2,a(1)=8,a(2)=26,a(3)=64} ogf] A100504 5.94796 [(164*f(x)+455)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-2) ogf] A100510 3.94352 [{(-4*n^2-18*n-20)*a(n+1)+(4*n+15)*a(n+2)-a(n+3),a(0)=2,a(1)=14,a(2)=142} ogf] A100510 30.1215 [-(-7+6*x)/(2*x-1)^2 lgdegf] A100511 15.4665 [2*(-12*x-13+2*(1-4*x)^(1/2))/(3+4*x)/(-1+4*x) lgdogf] A100511 3.94149 [{(-16*n^2-56*n-48)*a(n+1)+(8*n^2+26*n+18)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=3,a(2)=22} ogf] A100511 4.0782 [256*f(x)^2*x^4-256*f(x)^2*x^3+96*f(x)^2*x^2-64*f(x)*x^3-16*f(x)^2*x+32*f(x)*x^2+4*x^3+f(x)^2-4*f(x)*x+3*x^2 ogf] A100525 15.4552 [-2*(x-2)/(x^2-6*x+1) ogf] A100525 15.4779 [-(-2-3*x+(4+10*x+8*x^2)^(1/2))/(x+2) revogf] A100525 17.9744 [-(11-4*x+x^2)/(x-2)/(x^2-6*x+1) lgdogf] A100525 7.72761 [-(31*f(x)-3)*(f(x)*x^2-6*f(x)*x+f(x)+2*x-4) ogf] A100525 8.37933 [{a(n+2)-6*a(n+1)+a(n),a(0)=4,a(1)=22} ogf] A100530 10.5880 [-(5+13*x+2*x^6+13*x^5+17*x^4+18*x^3+12*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+4*x^2+3*x+2) lgdogf] A100530 11.9186 [x*(x^3+4*x^2+3*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A100531 11.1794 [(7*x^4+6*x^3+4*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A100531 8.79762 [-(3+11*x+7*x^7+19*x^6+25*x^5+25*x^4+45*x^3+25*x^2)/(x-1)/(x+1)/(x^2+1)/(7*x^4+6*x^3+4*x^2+2*x+1) lgdogf] A100532 11.0611 [-(-3-4*x+3*x^6-6*x^4-16*x^3+2*x^2)/(x-1)/(3*x^2+3*x+2)/(x^4+x^3+x^2+x-1) lgdogf] A100532 11.7481 [(x-1)*(3*x^2+3*x+2)/(x^4+x^3+x^2+x-1) ogf] A100532 5.96044 [(5458*f(x)-15239)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-3*x^3+f(x)*x-f(x)+x+2) ogf] A100534 99.9999 Evaluated at exp(-Pi) 2*exp(-1/24*Pi)*Pi^(1/2)*2^(3/8)*GAMMA(7/8)^2/GAMMA(5/8)^2/(2+2^(1/2))^(1/2) A100535 99.9999 Evaluated at exp(-Pi) 2*exp(11/24*Pi)*2^(3/8)*Pi^(1/2)*GAMMA(7/8)^2/GAMMA(5/8)^2*(2-2^(1/2))^(1/2)/(2+2^(1/2)) A100536 13.5071 [(2*x^2-7*x-1)/(x-1)^3 ogf] A100536 22.4592 [-2*(-5-5*x+x^2)/(-1+x)/(2*x^2-7*x-1) lgdogf] A100536 7.16462 [(148*f(x)-973)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+7*x+1) ogf] A100536 7.22747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=25} ogf] A100538 6.40044 [(x^3+x+1)/(x-1)/(x^3-2*x^2+3*x-1)/(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1) ogf] A100542 10.0860 [(3*x^5-11*x^4+19*x^3-21*x^2+14*x-5)/(x-1)^3 ogf] A100542 11.4487 [(1+14*x+6*x^5-26*x^4+44*x^3-36*x^2)/(x-1)/(3*x^5-11*x^4+19*x^3-21*x^2+14*x-5) lgdogf] A100545 10.6572 [(43*f(x)+60)*(f(x)*x^2-3*f(x)*x+f(x)+2*x-7) ogf] A100545 11.1708 [{-a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=19} ogf] A100545 20.6039 [-(2*x-7)/(x^2-3*x+1) ogf] A100545 22.2791 [-1/2*(-7-3*x+(49+34*x+5*x^2)^(1/2))/(x+2) revogf] A100545 25.3734 [-(19-14*x+2*x^2)/(2*x-7)/(x^2-3*x+1) lgdogf] A100550 12.7118 [-x*(x+1)/(3*x^3+2*x^2+x-1) ogf] A100550 15.8727 [-(2+4*x+6*x^3+11*x^2)/(x+1)/(3*x^3+2*x^2+x-1) lgdogf] A100550 6.52768 [{a(n+3)-a(n+2)-2*a(n+1)-3*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A100550 8.52437 [3*f(x)*x^3+2*f(x)*x^2+f(x)*x+x^2-f(x)+x ogf] A100571 6.07293 [(27-7*x-x^3+5*x^2+1302*x^5-4613*x^6+6183*x^7-3717*x^8+845*x^9)/(x-1)/(169*x^9-549*x^8+597*x^7-217*x^6+x^3-4*x^2+5*x-8) lgdogf] A100571 6.24920 [-(169*x^9-549*x^8+597*x^7-217*x^6+x^3-4*x^2+5*x-8)/(x-1)^4 ogf] A100575 15.3458 [-x^2/(4*x-1)/(2*x-1)^2 ogf] A100575 24.2012 [-8*(-1+3*x)/(4*x-1)/(2*x-1) lgdogf] A100575 5.89170 [{a(n+3)-8*a(n+2)+20*a(n+1)-16*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A100575 7.95024 [16*f(x)*x^3-20*f(x)*x^2+8*f(x)*x+x^2-f(x) ogf] A100579 7.97967 [-(x^8+2*x^7+58*x^6+17*x^5+158*x^4+49*x^3+7*x^2+125*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A100583 14.6648 [-(11+29*x+6*x^3+26*x^2)/(x-1)/(2*x+1)/(x+2)/(x+1) lgdogf] A100583 8.89520 [4*x*(x+2)*(2*x+1)/(x+1)/(x-1)^4 ogf] A100601 7.46689 [-(5*x^8+11*x^7+333*x^6+100*x^5+1001*x^4+333*x^3+50*x^2+1001*x+9)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A100606 14.1054 [-2*(-13-33*x+x^3-15*x^2)/(x-1)/(x^3-11*x^2-11*x-3) lgdogf] A100606 3.72839 [{(166*n^2+909*n+1154)*a(n+1)+(-90*n^2+410*n+1566)*a(n+2)+(-76*n^2-351*n-398)*a(n+3),a(0)=0,a(1)=3,a(2)=26} ogf] A100606 7.69732 [x*(x^3-11*x^2-11*x-3)/(x-1)^5 ogf] A100622 20.4566 [1/2*(1+(1-4*x)^(1/2))/(1-4*x)^(1/2) lgdegf] A100622 3.99979 [{(-n-2)*a(n+1)+(4*n+9)*a(n+2)+(-4*n-11)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=10} ogf] A100638 9.09106 [-(2*x^7+2*x^4+4*x^3+3*x^2+2*x+1)/(2*x^8+5*x^4-1) ogf] A100683 11.2728 [-(x^2+3*x-1)/(x^3+x^2+x-1) ogf] A100683 15.3878 [-(2-x^2+6*x^3+x^4)/(x^2+3*x-1)/(x^3+x^2+x-1) lgdogf] A100683 6.13964 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=-1,a(1)=2,a(2)=2} ogf] A100683 7.7263 [f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+3*x-1 ogf] A100684 11.4072 [-(-x^7+x^3-2*x^2-x-2)/(-x^4+1) ogf_with_Euler_transform] A100691 10.4760 [-2*(-2+4*x^4+2*x^3+x^6+x^2)/(x-1)/(x^2+1)/(x^2+x+1)/(x^3+2*x-1) lgdogf] A100691 4.61273 [(9+41*f(x))*(f(x)*x^4-f(x)*x^3-x^4+2*f(x)*x^2-x^3-3*f(x)*x-2*x^2+f(x)-x-1) ogf] A100691 7.92306 [(x^2+x+1)*(x^2+1)/(x-1)/(x^3+2*x-1) ogf] A100692 10.1952 [-(x+1)*(2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(2*x^4-1) ogf] A100692 7.94122 [(-3-8*x+8*x^9+8*x^8-8*x^6-28*x^5-38*x^4-24*x^3-12*x^2)/(x+1)/(2*x^4-1)/(2*x^5+2*x^4+2*x^3+2*x^2+2*x+1) lgdogf] A100693 7.18095 [-(2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)*(x^6+x^5-2*x^4+x^3+x^2+1)/(2*x^4-1) ogf] A100702 11.8644 [-(x+1)*(2*x-1)/(3*x-1)/(x-1) ogf] A100702 13.6840 [-(3-10*x+11*x^2)/(-1+x)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A100702 6.16483 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=1,a(1)=3,a(2)=7} ogf] A100702 6.4826 [-(2*f(x)+7)*(3*f(x)*x^2-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A100705 10.8440 [(x^3+3*x^2+x+1)/(x-1)^4 ogf] A100705 20.4985 [-(5+9*x+x^3+9*x^2)/(x-1)/(x^3+3*x^2+x+1) lgdogf] A100705 4.39466 [{(-49*n^2-237*n-278)*a(n+1)+(26*n^2-136*n-586)*a(n+2)+(23*n^2+157*n+264)*a(n+3),a(0)=1,a(1)=5,a(2)=17} ogf] A100705 5.75853 [(35694*f(x)+47845)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-x-1) ogf] A100706 4.0732 [(11011*f(x)+1310)*(100*f(x)*x^2-101*f(x)*x+f(x)-10*x-1) ogf] A100706 4.48978 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=1,a(1)=111} ogf] A100706 7.55218 [-1/20*(-1-101*x+(1+242*x+9801*x^2)^(1/2))/(-1+10*x) revogf] A100706 7.90202 [(10*x+1)/(100*x-1)/(x-1) ogf] A100706 8.02419 [-(-111+200*x+1000*x^2)/(-1+x)/(10*x+1)/(100*x-1) lgdogf] A100720 11.5030 [(2*x^3-2*x^2-x-3)/(2*x-1)/(x^2+1) ogf] A100720 12.9954 [(7-2*x+2*x^4+12*x^3+7*x^2)/(2*x-1)/(x^2+1)/(2*x^3-2*x^2-x-3) lgdogf] A100720 5.92319 [{a(n+4)-2*a(n+3)+a(n+2)-2*a(n+1),a(0)=3,a(1)=7,a(2)=13,a(3)=23} ogf] A100720 6.40086 [(185*f(x)-1827)*(2*f(x)*x^3-f(x)*x^2-2*x^3+2*f(x)*x+2*x^2-f(x)+x+3) ogf] A100727 6.95066 [(-4*x+2*x^10-4*x^9-6*x^8+2*x^13+4*x^7+4*x^6+6*x^5-4*x^3-2*x^4-6*x^2+x^12-1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2-1)/(x^6+x^5+x^4-x^3-x^2-x-1) lgdogf] A100727 8.26889 [(x^4-x^2-1)*(x^6+x^5+x^4-x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A100747 15.2092 [-(3*x+1)/(15*x^2-1) ogf] A100747 16.4757 [1/6*(-1+(1+12*x+60*x^2)^(1/2))/(1+5*x) revogf] A100747 16.9210 [-3*(1+10*x+15*x^2)/(3*x+1)/(15*x^2-1) lgdogf] A100747 9.12555 [(40*f(x)-31)*(15*f(x)*x^2-f(x)+3*x+1) ogf] A100747 9.82751 [{-a(n+2)+15*a(n),a(0)=1,a(1)=3} ogf] A100764 14.7536 [(x+1)*(2*x^3+x^2-x+1)/(x-1)^2 ogf] A100764 16.4956 [(-2+4*x^4-5*x^3-9*x^2)/(x-1)/(x+1)/(2*x^3+x^2-x+1) lgdogf] A100764 8.16461 [-(48*f(x)+25)*(-2*x^4+f(x)*x^2-3*x^3-2*f(x)*x+f(x)-1) ogf] A100774 11.2653 [-3*f(x)*x^2+4*f(x)*x-f(x)+4*x ogf] A100774 17.9636 [4*x/(3*x-1)/(x-1) ogf] A100774 19.8448 [-1/3*(-2-2*x+(4+8*x+x^2)^(1/2))/x revogf] A100774 26.1951 [-2*(-2+3*x)/(3*x-1)/(x-1) lgdogf] A100774 8.20558 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=4} ogf] A100775 17.1496 [-(4*x-101)/(x-1)^2 ogf] A100775 19.2901 [-1/2*(-101-2*x+(10201+388*x)^(1/2))/(4+x) revogf] A100775 28.2463 [-2*(-99+2*x)/(x-1)/(4*x-101) lgdogf] A100775 8.8575 [(97*f(x)+9805)*(f(x)*x^2-2*f(x)*x+f(x)+4*x-101) ogf] A100775 9.37247 [{-a(n+2)+2*a(n+1)-a(n),a(0)=101,a(1)=198} ogf] A100776 14.7293 [-(12*x-1009)/(x-1)^2 ogf] A100776 15.3808 [-1/2*(-1009-2*x+(1018081+3988*x)^(1/2))/(12+x) revogf] A100776 22.1098 [-2*(-1003+6*x)/(x-1)/(12*x-1009) lgdogf] A100776 7.44057 [(997*f(x)+1006045)*(f(x)*x^2-2*f(x)*x+f(x)+12*x-1009) ogf] A100776 8.20155 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1009,a(1)=2006} ogf] A100779 7.07905 [-(2+8*x+23*x^8+74*x^6+81*x^5+51*x^4+44*x^3+37*x^7+28*x^2+12*x^9)/(x-1)/(x+1)/(3*x^6+x^5+2*x^4+4*x^3+x^2+1)/(x^2+x+1) lgdogf] A100779 7.88968 [-(3*x^6+x^5+2*x^4+4*x^3+x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A100789 3.91145 [(x+1)*(x^6+13*x^5+149*x^4+514*x^3+149*x^2+13*x+1)/(x-1)^8 ogf] A100790 10.2585 [-(9+31*x+80*x^2+56*x^3+4*x^4)/(x-1)/(2*x^4+16*x^3+8*x^2+3*x+1) lgdogf] A100790 6.18694 [(2*x^4+16*x^3+8*x^2+3*x+1)/(x-1)^6 ogf] A100828 4.76066 [-(334*f(x)-223)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x+3*x^2+f(x)-2*x-1) ogf] A100828 8.67727 [-2*(2-x+x^6+3*x^5+2*x^4-2*x^3-x^2)/(x-1)/(x+1)/(x^2+2*x-1)/(2*x^3+3*x^2-2*x-1) lgdogf] A100828 8.96488 [-(2*x^3+3*x^2-2*x-1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A100830 10.0910 [(9*x^10-8*x^9-9*x+10)/(x+1)/(x^2-x+1)/(x^6-x^3+1)/(x-1)^2 ogf] A100830 8.47110 [-(11-7*x^18+9*x^19-9*x-162*x^8+328*x^9-162*x^10)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1)/(9*x^10-8*x^9-9*x+10) lgdogf] A100832 12.7652 [-(3*x+1)*(x^2-x-1)/(x+1)/(x-1)^2 ogf] A100832 18.0021 [-(-5-11*x+x^3-x^2)/(x-1)/(3*x+1)/(x+1)/(x^2-x-1) lgdogf] A100832 6.67270 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=5,a(2)=8,a(3)=9} ogf] A100832 6.88122 [-(160*f(x)+2253)*(f(x)*x^3-f(x)*x^2+3*x^3-f(x)*x-2*x^2+f(x)-4*x-1) ogf] A100846 7.80744 [(1221-1001*x+856800*x^10-1827000*x^9+972000*x^8)/(x-1)/(107100*x^10-108000*x^9+1001*x-1111) lgdogf] A100846 9.28641 [-(107100*x^10-108000*x^9+1001*x-1111)/(x-1)^2 ogf] A100853 11.7385 [-(-x^6-x^4-x^3-x^2-1)/(-x^8+1) ogf_with_Euler_transform] A100855 17.0809 [-(7+24*x+2*x^3+27*x^2)/(x-1)/(x^3+8*x^2+2*x+1) lgdogf] A100855 4.12763 [{(-291*n^2-1325*n-1486)*a(n+1)+(242*n^2-304*n-1400)*a(n+2)+(49*n^2+269*n+342)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A100855 8.75420 [-x*(x^3+8*x^2+2*x+1)/(x-1)^5 ogf] A100886 10.7523 [-(3+6*x+4*x^5+13*x^4+16*x^3+9*x^2)/(2*x+1)/(x+1)/(x^2+x+1)/(x^2+x-1) lgdogf] A100886 10.7546 [-x*(x+1)*(2*x+1)/(x^2+x+1)/(x^2+x-1) ogf] A100886 6.1839 [-(75*f(x)-7)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+2*x^3+3*x^2-f(x)+x) ogf] A100887 11.9179 [-(2*x^2+2*x-1)/(x^2+x+1)/(x^2+x-1) ogf] A100887 12.7881 [-2*(2*x+1)*(x^4+2*x^3-x+1)/(x^2+x+1)/(2*x^2+2*x-1)/(x^2+x-1) lgdogf] A100887 6.56496 [-(124*f(x)+41)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+2*x^2-f(x)+2*x-1) ogf] A100888 11.6962 [(x^2-x-3)/(x^2+x+1)/(x^2+x-1) ogf] A100888 11.8366 [-(-1-4*x+2*x^5-x^4-16*x^3-19*x^2)/(x^2+x+1)/(x^2+x-1)/(x^2-x-3) lgdogf] A100888 6.55393 [(2598*f(x)-305)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2-x^2-f(x)+x+3) ogf] A100896 7.72913 [(3113-2893*x+2745900*x^11-5804100*x^10+3060000*x^9)/(x-1)/(305100*x^11-306000*x^10+2893*x-3003) lgdogf] A100896 9.47156 [-(305100*x^11-306000*x^10+2893*x-3003)/(x-1)^2 ogf] A100897 7.01106 [(7117-6897*x+6309900*x^11-13328100*x^10+7020000*x^9)/(x-1)/(701100*x^11-702000*x^10+6897*x-7007) lgdogf] A100897 8.69365 [-(701100*x^11-702000*x^10+6897*x-7007)/(x-1)^2 ogf] A100910 30.9626 [[x^10] ogf_with_Euler_transform] A100963 10.4081 [(861*x^17+91*x^10+15*x^6+3*x^3+1)/(x-1)^2 ogf] A100963 6.90128 [(-2-14637*x^16+12915*x^17-910*x^9+728*x^10+60*x^6-90*x^5+3*x^3-9*x^2)/(x-1)/(861*x^17+91*x^10+15*x^6+3*x^3+1) lgdogf] A101000 10.2931 [{-a(n+3)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A101000 15.7547 [-f(x)*x^3-3*x^2+f(x)-x ogf] A101000 17.1551 [-x*(3*x+1)/(x-1)/(x^2+x+1) ogf] A101000 20.5736 [-3*(x+1)*(2*x^2-x+1)/(x-1)/(3*x+1)/(x^2+x+1) lgdogf] A101052 10.3524 [-(8*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A101052 5.48585 [-(10*f(x)-7)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+8*x^2-f(x)-5*x+1) ogf] A101052 5.68005 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A101052 9.52747 [-(1-6*x+25*x^2-60*x^3+48*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(8*x^2-5*x+1) lgdogf] A101053 11.3984 [(-1-exp(x)+exp(x)*x)/(-1+x) lgdegf] A101054 12.6307 [(-2-exp(x)+exp(x)*x)/(-1+x) lgdegf] A101055 13.2468 [(-3-exp(x)+exp(x)*x)/(-1+x) lgdegf] A101089 14.1601 [-2*(9+44*x+2*x^3+29*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A101089 3.82405 [{(4*n^2+41*n+105)*a(n+1)+(-8*n^2-64*n-150)*a(n+2)+(4*n^2+23*n+33)*a(n+3),a(0)=1,a(1)=18,a(2)=116} ogf] A101089 6.61168 [-(x+1)*(x^2+10*x+1)/(x-1)^7 ogf] A101090 13.6065 [-(19+99*x+5*x^3+69*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A101090 3.60238 [{(4*n^2+49*n+150)*a(n+1)+(-8*n^2-72*n-169)*a(n+2)+(4*n^2+23*n+33)*a(n+3),a(0)=1,a(1)=19,a(2)=135} ogf] A101090 5.74517 [(x+1)*(x^2+10*x+1)/(x-1)^8 ogf] A101091 13.7287 [-2*(10+55*x+3*x^3+40*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A101091 3.78250 [{(4*n^2+57*n+203)*a(n+1)+(-8*n^2-80*n-188)*a(n+2)+(4*n^2+23*n+33)*a(n+3),a(0)=1,a(1)=20,a(2)=155} ogf] A101091 5.50994 [-(x+1)*(x^2+10*x+1)/(x-1)^9 ogf] A101092 11.1573 [-2*(17+157*x+237*x^2+67*x^3+2*x^4)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A101092 6.08808 [(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^8 ogf] A101093 4.23740 [-(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^9 ogf] A101093 7.17865 [-2*(33+530*x+1510*x^2+1020*x^3+145*x^4+2*x^5)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A101094 19.8969 [-(11+26*x+5*x^2)/(x-1)/(x^2+4*x+1) lgdogf] A101094 7.11579 [-(x^2+4*x+1)/(x-1)^7 ogf] A101095 11.6986 [(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^2 ogf] A101095 6.90411 [(17143*f(x)+4104155)*(-x^4+f(x)*x^2-26*x^3-2*f(x)*x-66*x^2+f(x)-26*x-1) ogf] A101095 8.94393 [2*(-14-79*x+x^4+11*x^3-39*x^2)/(-1+x)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A101096 10.1905 [-(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^3 ogf] A101096 12.9111 [(-29-184*x-144*x^2-4*x^3+x^4)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A101096 5.39895 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=29,a(2)=150,a(3)=390,a(4)=750} ogf] A101096 5.701 [-(28771*f(x)+587418)*(f(x)*x^3+x^4-3*f(x)*x^2+26*x^3+3*f(x)*x+66*x^2-f(x)+26*x+1) ogf] A101097 22.6429 [-6*(2+5*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A101097 3.67317 [{(n+4)*a(n+4)+(-3+3*n)*a(n+3)+(-36-3*n)*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=12,a(2)=69,a(3)=272} ogf] A101097 6.96517 [(x^2+4*x+1)/(x-1)^8 ogf] A101098 14.4668 [-30*(x+1)*(x^2+6*x+1)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A101098 5.13252 [-(28*f(x)+725)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-26*x^3-4*f(x)*x-66*x^2+f(x)-26*x-1) ogf] A101098 9.04024 [(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^4 ogf] A101099 10.9338 [-5*(7+68*x+x^4+32*x^3+108*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A101099 5.16187 [-(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^9 ogf] A101100 4.26029 [-(26567999*f(x)+100985012160)*(x^4+26*x^3+f(x)*x+66*x^2-f(x)+26*x+1) ogf] A101100 4.33504 [{-a(n+5)+a(n+4),a(0)=1,a(1)=27,a(2)=93,a(3)=119,a(4)=120} ogf] A101100 7.72178 [-(x^4+26*x^3+66*x^2+26*x+1)/(x-1) ogf] A101100 7.74149 [3*(-9-44*x+x^4+16*x^3-4*x^2)/(-1+x)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A101101 15.8727 [-(x^2+4*x+1)/(x-1) ogf] A101101 22.4756 [(-5-2*x+x^2)/(-1+x)/(x^2+4*x+1) lgdogf] A101101 8.50323 [{-a(n+3)+a(n+2),a(0)=1,a(1)=5,a(2)=6} ogf] A101101 9.0414 [-(f(x)-1)*(f(x)*x+x^2-f(x)+4*x+1) ogf] A101102 18.9151 [-(13+34*x+7*x^2)/(x-1)/(x^2+4*x+1) lgdogf] A101102 3.87819 [{(n+4)*a(n+4)+(-4+3*n)*a(n+3)+(-40-3*n)*a(n+2)+(-8-n)*a(n+1),a(0)=1,a(1)=13,a(2)=82,a(3)=354} ogf] A101102 6.66253 [-(x^2+4*x+1)/(x-1)^9 ogf] A101103 10.2796 [(-13-33*x+x^3-3*x^2)/(-1+x)/(x+1)/(x^2+10*x+1) lgdogf] A101103 4.16310 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=13,a(2)=36,a(3)=60} ogf] A101103 7.73148 [(x+1)*(x^2+10*x+1)/(x-1)^2 ogf] A101103 8.19755 [-(13*f(x)-99)*(f(x)*x^2-x^3-2*f(x)*x-11*x^2+f(x)-11*x-1) ogf] A101104 13.2705 [-(x+1)*(x^2+10*x+1)/(x-1) ogf] A101104 15.5124 [2*(-6-11*x+x^3+4*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A101104 7.37253 [{a(n+4)-a(n+3),a(0)=1,a(1)=12,a(2)=23,a(3)=24} ogf] A101104 7.76467 [(12097*f(x)-517956)*(x^3+f(x)*x+11*x^2-f(x)+11*x+1) ogf] A101106 13.1197 [-(-3+3*x-9*x^2+2*x^3)/(3*x^2+1-6*x+x^4-6*x^3) lgdogf] A101106 6.08842 [-f(x)^2*x^4+6*f(x)^2*x^3-3*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A101109 122.250 [3*x^2 lgdegf] A101109 5.05733 [{(-n-4)*a(n+4)+3*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=1} egf] A101120 8.62720 [-2*(-11+3*x+4*x^2-10*x^3+41*x^4+5*x^5)/(-1+x)/(x+7)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A101120 9.32051 [-(x+7)/(x+1)/(2*x-1)/(x^2+1)/(x-1)^2 ogf] A101127 14.4995 [-(-8*x^2+8*x-8)/(-x^4+1) ogf_with_Euler_transform] A101127 99.9999 Evaluated at exp(-Pi) 4*exp(-1/3*Pi) A101135 10.1774 [(256*x^14+121*x^13+9*x^5+4*x^4+1)/(x-1)^2 ogf] A101135 8.30210 [(-2+3072*x^14-2253*x^13-1573*x^12+27*x^5-16*x^3-37*x^4)/(x-1)/(256*x^14+121*x^13+9*x^5+4*x^4+1) lgdogf] A101152 6.03243 [x*(93*x^5+383*x^4+93*x^3-447*x^2-1149*x-111)/(x-1)/(x^6-6*x^3+1) ogf] A101156 16.6421 [-2*(7*x+5)/(x^2+x-1) ogf] A101156 18.7306 [1/2/(14+x)*(-10-x+(100+76*x+5*x^2)^(1/2)) revogf] A101156 22.5869 [-(12+10*x+7*x^2)/(7*x+5)/(x^2+x-1) lgdogf] A101156 7.98139 [-(2165*f(x)+19822)*(f(x)*x^2+f(x)*x-f(x)+14*x+10) ogf] A101156 9.31163 [{a(n+2)-a(n+1)-a(n),a(0)=10,a(1)=24} ogf] A101165 10.3087 [x*(x^2+3*x+3)/(x-1)^4 ogf] A101165 23.1708 [-(x+3)*(2*x+5)/(x-1)/(x^2+3*x+3) lgdogf] A101165 4.11220 [{(-9-3*n)*a(n+4)+15*a(n+3)+(13+2*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=3,a(2)=15,a(3)=43} ogf] A101165 5.05055 [-(1477301*f(x)+2709344)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-3*x) ogf] A101166 15.2048 [-(26+32*x+2*x^3+15*x^2)/(x-1)/(x+2)/(x^2+2*x+2) lgdogf] A101166 3.83752 [{(49*n^2+344*n+492)*a(n+1)+(-8*n^2+413*n+2202)*a(n+2)+(-41*n^2-397*n-630)*a(n+3),a(0)=0,a(1)=4,a(2)=26} ogf] A101166 7.97023 [-x*(x+2)*(x^2+2*x+2)/(x-1)^5 ogf] A101168 12.7516 [-(x^2+x+1)/(x^3+2*x^2+2*x-1) ogf] A101168 6.94505 [{-a(n+3)+2*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A101168 7.00762 [(8*f(x)+1)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x+x^2-f(x)+x+1) ogf] A101169 11.8644 [(x+1)/(x^3-3*x^2-2*x+1) ogf] A101169 5.61440 [{a(n+3)-2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A101169 6.04628 [(35*f(x)-8)*(f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A101195 17.9330 [-(x-1)/(-x^3-1) ogf_with_Euler_transform] A101197 11.6185 [(x+1)/(2*x^3-3*x^2-2*x+1) ogf] A101197 5.49804 [{a(n+3)-2*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A101197 5.97845 [(5*f(x)+4)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A101202 14.0460 [63492*x/(47619+(2267569161+63492*x)^(1/2))^2 revogf] A101202 16.6026 [142857/(x-1)^2 ogf] A101202 6.85761 [{-a(n+2)+2*a(n+1)-a(n),a(0)=142857,a(1)=285714} ogf] A101202 77.2531 [-2/(x-1) lgdogf] A101202 9.85781 [-f(x)*x^2+2*f(x)*x-f(x)+142857 ogf] A101213 13.3649 [-4*(24+58*x+x^3+22*x^2)/(x-1)/(x^3+17*x^2+33*x+9) lgdogf] A101213 3.61224 [{(n^2+8*n+16)*a(n+1)+(-7*n^2-68*n-189)*a(n+2)+(6*n^2+30*n+36)*a(n+3),a(0)=0,a(1)=108,a(2)=1152} ogf] A101213 5.72976 [-12*x*(x^3+17*x^2+33*x+9)/(x-1)^7 ogf] A101217 3.66885 [-(208*x^3-108*x^2-112*x-1)/(x-1)/(10*x+1)/(10*x-1) ogf] A101229 12.4561 [(17*x^10+27*x^8+7*x^3-1)/(2*x-1) ogf] A101229 8.82786 [(2-216*x^7+306*x^10-170*x^9+378*x^8+28*x^3-21*x^2)/(2*x-1)/(17*x^10+27*x^8+7*x^3-1) lgdogf] A101230 10.3087 [-(x^5+2*x^4+x^3+x^2+x+2)/(x^6-1) ogf_with_Euler_transform] A101243 9.38386 [-10*x*(800*x^12-800*x^11+80*x^2-72*x-9)/(x-1)^2 ogf] A101243 9.82212 [2*(45-44*x+4000*x^12-8400*x^11+4400*x^10)/(x-1)/(800*x^12-800*x^11+80*x^2-72*x-9) lgdogf] A101265 11.7050 [-(2-8*x+x^4-6*x^3+13*x^2)/(x-1)/(x^2-4*x+1)/(x^2-3*x+1) lgdogf] A101265 12.6971 [-(x^2-3*x+1)/(x-1)/(x^2-4*x+1) ogf] A101265 6.91537 [(19*f(x)+5)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+x^2-f(x)-3*x+1) ogf] A101265 6.91538 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A101272 14.3666 [-(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1) ogf] A101272 16.7703 [2*(-1-x-x^2-x^3-x^4+2*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A101272 39.5702 [[-x^5+2] ogf_with_Euler_transform] A101272 6.60862 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=6,a(6)=6} ogf] A101277 15.4706 [-(x^3+2*x^2+2)/(x^4-1) ogf_with_Euler_transform] A101277 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)/Pi^(1/4)*2^(5/8)*GAMMA(3/4) A101291 10.8983 [-1/10*(-45-110*x+9*(25+120*x+100*x^2)^(1/2))/(9+200*x) revogf] A101291 11.5205 [-45*(x-1)/(100*x-1)/(10*x-1) ogf] A101291 12.5215 [-(109-2000*x+1000*x^2)/(x-1)/(100*x-1)/(10*x-1) lgdogf] A101291 6.17594 [(222*f(x)+1891)*(1000*f(x)*x^2-110*f(x)*x+f(x)+45*x-45) ogf] A101291 6.58315 [{-a(n+2)+110*a(n+1)-1000*a(n),a(0)=45,a(1)=4905} ogf] A101308 5.01122 [f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3+f(x)^2*x+f(x)*x^2+x^3-x^2-f(x)+1 ogf] A101328 15.7976 [(x+1)*(2*x+1)/(x-1)^2 ogf] A101328 29.3276 [-(7*x+5)/(x-1)/(2*x+1)/(x+1) lgdogf] A101328 8.12886 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=11} ogf] A101328 8.8134 [(12*f(x)+13)*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)-3*x-1) ogf] A101338 16.6698 [-(-2+4*x-9*x^2+2*x^3)/(x-1)/(x^3-4*x^2+3*x-1) lgdogf] A101338 4.06912 [{(32*n^2+242*n+438)*a(n+1)+(-61*n^2-337*n-354)*a(n+2)+(29*n^2+107*n+60)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A101338 8.79305 [(x^3-4*x^2+3*x-1)/(x-1)^5 ogf] A101351 11.2496 [-(x^2-4*x+2)/(x-1)/(2*x-1)/(x^2+x-1) ogf] A101351 5.74981 [-(7*f(x)+116)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-4*x+2) ogf] A101351 8.86228 [-(4-14*x+4*x^5+6*x^2+24*x^3-25*x^4)/(x-1)/(2*x-1)/(x^2-4*x+2)/(x^2+x-1) lgdogf] A101352 8.43659 [x*(x^2-4*x+2)/(2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A101352 9.34808 [-(6-24*x-32*x^4+21*x^3+6*x^5+21*x^2)/(x-1)/(2*x-1)/(x^2-4*x+2)/(x^2+x-1) lgdogf] A101353 11.9419 [(3*x^2-1)/(x-1)/(2*x-1)/(x^2+x-1) ogf] A101353 6.06426 [(27*f(x)+556)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+1) ogf] A101353 9.75452 [-(-4+14*x-3*x^4-8*x^3+12*x^5-9*x^2)/(x-1)/(2*x-1)/(3*x^2-1)/(x^2+x-1) lgdogf] A101357 23.2407 [-3*(1+4*x^2)/(x-1)/(4*x^2-2*x+1) lgdogf] A101357 3.85047 [{(n+3)*a(n+4)+(-3*n-9)*a(n+3)+(6+6*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=9} ogf] A101357 9.09269 [-x*(4*x^2-2*x+1)/(x-1)^5 ogf] A101362 14.6627 [-12*(x+1)*(2*x^2+11*x+2)/(x-1)/(8*x^3+33*x^2+18*x+1) lgdogf] A101362 4.13294 [{(-37*n^2-195*n-252)*a(n+1)+(56*n^2+176*n+456)*a(n+2)+(-19*n^2-71*n-66)*a(n+3),a(0)=0,a(1)=2,a(2)=48} ogf] A101362 7.50350 [2*x*(8*x^3+33*x^2+18*x+1)/(x-1)^6 ogf] A101368 14.9676 [-(1-6*x+3*x^4-10*x^3+15*x^2)/(-1+x)/(x^2-5*x+1)/(3*x^2-5*x+1) lgdogf] A101368 15.1861 [-(3*x^2-5*x+1)/(x-1)/(x^2-5*x+1) ogf] A101368 8.27100 [{-a(n+3)+6*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A101368 8.34552 [(5*f(x)+3)*(f(x)*x^3-6*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-5*x+1) ogf] A101374 16.1339 [-2*(-4-15*x+x^3-12*x^2)/(x-1)/(x^3-9*x^2-3*x-1) lgdogf] A101374 4.60554 [{(-2*n^2-11*n-14)*a(n+1)+(2*n^2+2*n-8)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A101374 8.45193 [x*(x^3-9*x^2-3*x-1)/(x-1)^5 ogf] A101375 22.4491 [-6*(1+4*x+5*x^2)/(x-1)/(10*x^2+x+1) lgdogf] A101375 4.35318 [{(n+3)*a(n+4)-6*a(n+3)+(-15+9*n)*a(n+2)+(-30-10*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=30} ogf] A101375 9.48371 [-x*(10*x^2+x+1)/(x-1)^5 ogf] A101376 13.0071 [-2*(7+50*x+x^4+32*x^3+90*x^2)/(x-1)/(x^4+20*x^3+30*x^2+8*x+1) lgdogf] A101376 7.30918 [x*(x^4+20*x^3+30*x^2+8*x+1)/(x-1)^6 ogf] A101377 12.7061 [-2*(-8-61*x+x^4-19*x^3-93*x^2)/(x-1)/(x^4-14*x^3-36*x^2-10*x-1) lgdogf] A101377 7.30687 [-x*(x^4-14*x^3-36*x^2-10*x-1)/(x-1)^6 ogf] A101378 15.1035 [-6*(3+21*x+7*x^3+29*x^2)/(x-1)/(14*x^3+33*x^2+12*x+1) lgdogf] A101378 4.50591 [{(13*n^2+63*n+72)*a(n+1)+(-11*n^2+17*n+10)*a(n+2)+(-2*n^2-5*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=18} ogf] A101378 7.87440 [x*(14*x^3+33*x^2+12*x+1)/(x-1)^6 ogf] A101379 11.2476 [-(27+296*x+18*x^4+284*x^3+635*x^2)/(x-1)/(6*x^4+65*x^3+88*x^2+20*x+1) lgdogf] A101379 6.55320 [-x*(6*x^4+65*x^3+88*x^2+20*x+1)/(x-1)^7 ogf] A101380 11.3969 [-(29+344*x+39*x^4+444*x^3+824*x^2)/(x-1)/(x+1)/(13*x^3+85*x^2+21*x+1) lgdogf] A101380 6.53021 [-x*(x+1)*(13*x^3+85*x^2+21*x+1)/(x-1)^7 ogf] A101381 11.7371 [-30*(1+12*x+x^4+14*x^3+28*x^2)/(x-1)/(10*x^4+95*x^3+111*x^2+23*x+1) lgdogf] A101381 6.53021 [-x*(10*x^4+95*x^3+111*x^2+23*x+1)/(x-1)^7 ogf] A101382 4.27302 [-x*(108*x^6+2749*x^5+10727*x^4+10362*x^3+2762*x^2+169*x+3)/(x-1)^9 ogf] A101382 5.91007 [-4*(49+1719*x+81*x^6+2911*x^5+16845*x^4+26270*x^3+12605*x^2)/(x-1)/(108*x^6+2749*x^5+10727*x^4+10362*x^3+2762*x^2+169*x+3) lgdogf] A101383 15.2809 [-2*(7+45*x+9*x^3+59*x^2)/(x-1)/(6*x^3+25*x^2+8*x+1) lgdogf] A101383 3.89116 [{(4931*n^2+28841*n+42144)*a(n+1)+(-4098*n^2+3496*n+21846)*a(n+2)+(-833*n^2-3517*n-3702)*a(n+3),a(0)=0,a(1)=1,a(2)=14} ogf] A101383 7.82084 [x*(6*x^3+25*x^2+8*x+1)/(x-1)^6 ogf] A101384 11.4635 [-12*(5+59*x+x^4+37*x^3+108*x^2)/(x-1)/(4*x^4+107*x^3+195*x^2+53*x+1) lgdogf] A101384 6.24114 [-x^2*(4*x^4+107*x^3+195*x^2+53*x+1)/(x-1)^7 ogf] A101386 13.4095 [-1/2*(-5-6*x+(25+48*x+32*x^2)^(1/2))/(x+3) revogf] A101386 15.5926 [-(3*x-5)/(x^2-6*x+1) ogf] A101386 15.6444 [-(27-10*x+3*x^2)/(3*x-5)/(1-6*x+x^2) lgdogf] A101386 7.62681 [-(152*f(x)-31)*(f(x)*x^2-6*f(x)*x+f(x)+3*x-5) ogf] A101386 8.45381 [{a(n+2)-6*a(n+1)+a(n),a(0)=5,a(1)=27} ogf] A101399 10.7054 [-(x^2+x+1)/(x^3+2*x^2+x-1) ogf] A101399 12.7885 [-(2+6*x+4*x^2+2*x^3+x^4)/(x^2+x+1)/(x^3+2*x^2+x-1) lgdogf] A101399 5.83062 [(49*f(x)+6)*(f(x)*x^3+2*f(x)*x^2+f(x)*x+x^2-f(x)+x+1) ogf] A101399 5.83062 [{-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A101400 11.4078 [-2*(-1-3*x+x^4+x^3+x^5-2*x^2)/(x^2+x+1)/(x^4-x^3-2*x^2-x+1) lgdogf] A101400 5.12535 [-(13*f(x)+4)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A101400 9.95359 [(x^2+x+1)/(x^4-x^3-2*x^2-x+1) ogf] A101423 8.01770 [-(12+38*x+23*x^4+52*x^3-6*x^6-2*x^5+3*x^8+60*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^5-3*x^4-3*x^3+x^2+6*x+6) lgdogf] A101423 9.85271 [-(x^3+3*x^2+3*x+3)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A101424 13.9227 [-2*(9+10*x+2*x^4-4*x^3-2*x^2)/(x-1)/(x+1)/(4*x^3-8*x^2+9) lgdogf] A101424 15.4938 [-(x+4)/(x+1)/(x-1)^3 ogf] A101424 4.10587 [{(-4*n-16)*a(n+4)+(6-n)*a(n+3)+(26+4*n)*a(n+2)+(n+4)*a(n+1),a(0)=4,a(1)=9,a(2)=18,a(3)=28} ogf] A101424 7.33191 [(25225*f(x)-159731)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+x+4) ogf] A101425 13.5082 [-(24+28*x+5*x^4-10*x^3-5*x^2)/(x-1)/(x+1)/(5*x^3-10*x^2+12) lgdogf] A101425 15.5578 [-(2*x+5)/(x+1)/(x-1)^3 ogf] A101425 4.10232 [{(-5*n-20)*a(n+4)+(6-2*n)*a(n+3)+(34+5*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=5,a(1)=12,a(2)=24,a(3)=38} ogf] A101425 7.36219 [(45521*f(x)-393377)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+2*x+5) ogf] A101426 7.27090 [-(32+102*x+67*x^4+148*x^3-14*x^6-2*x^5+7*x^8+164*x^2)/(x-1)/(x+1)/(x^2+x+1)/(7*x^5-7*x^4-7*x^3+3*x^2+16*x+16) lgdogf] A101426 9.64802 [-(3*x^3+9*x^2+9*x+7)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A101427 6.07413 [-(x^6+3*x^4+4*x^3+3*x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A101432 10.3260 [{-a(n+4)+a(n+2),a(0)=1,a(1)=3,a(2)=4,a(3)=6} ogf] A101432 11.6623 [(17*f(x)-57)*(f(x)*x^2+3*x^3+3*x^2-f(x)+3*x+1) ogf] A101432 17.3911 [-(3*x^3+3*x^2+3*x+1)/(x-1)/(x+1) ogf] A101432 18.3524 [(-3-8*x+3*x^4-12*x^2)/(x-1)/(x+1)/(3*x^3+3*x^2+3*x+1) lgdogf] A101442 14.1480 [-1/2*(-10007-2*x+(100140049+39892*x)^(1/2))/(34+x) revogf] A101442 14.4228 [-(34*x-10007)/(x-1)^2 ogf] A101442 20.8059 [-2*(-9990+17*x)/(x-1)/(34*x-10007) lgdogf] A101442 7.21137 [(9973*f(x)+99800389)*(f(x)*x^2-2*f(x)*x+f(x)+34*x-10007) ogf] A101442 8.01264 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10007,a(1)=19980} ogf] A101443 11.8906 [-(x+1)*(x^4-x^2-1)/(x-1)^2/(x^2+x+1)^2 ogf] A101443 12.9459 [-(-1-2*x+x^4-x^3+x^7+2*x^6-3*x^5-9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^2-1) lgdogf] A101455 10.3847 [{-a(n+2)-a(n),a(0)=1,a(1)=0} ogf] A101455 15.9569 [f(x)*x^2+f(x)-1 ogf] A101455 22.5598 [1/(x^2+1) ogf] A101455 25.7862 [-1/2*(-1+(-(-1+2*x)*(2*x+1))^(1/2))/x revogf] A101455 26.1078 [[x^3-x] ogf_with_Euler_transform] A101455 79.5076 [-2*x/(1+x^2) lgdogf] A101463 10.9359 [(x^3+x^2+2*x+1)/(x^4+5*x^2+1) ogf] A101463 11.5171 [-(-2+8*x+x^6+2*x^5+x^4+4*x^3+7*x^2)/(x^3+x^2+2*x+1)/(x^4+5*x^2+1) lgdogf] A101463 6.34674 [-(19582*f(x)-4389)*(f(x)*x^4+5*f(x)*x^2-x^3-x^2+f(x)-2*x-1) ogf] A101467 5.60801 [(2700*x^5-5460*x^4+3579*x^3-1028*x^2+147*x-10)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(10*x-1) ogf] A101478 32.9525 [x*(x^2+1)/(1+x)^4 revogf] A101478 5.77517 [(320*n+64*n^2+396)*a(n+1)+(-16*n^2-96*n-144)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=4,a(1)=26,a(2)=184 lgdogf] A101485 4.92263 [{(16*n^2+48*n+35)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A101487 20.8466 [x*(1+x+x^2)/(x^2+4*x+1)^2 revogf] A101488 4.34731 [f(x)^2*x^3+2*f(x)^2*x^2+2*f(x)*x^3+f(x)^2*x-6*f(x)*x^2+x^3-7*f(x)*x+8*x^2+f(x)+5*x-1 ogf] A101490 28.7023 [x*(1+x^2-x)/(x^2+1)^2 revogf] A101496 12.3981 [-(x-1)*(x+1)/(x^4+x^3-x^2-x+1) ogf] A101496 15.8577 [-(1+2*x^5+x^4-4*x^3-2*x^2)/(x-1)/(x+1)/(x^4+x^3-x^2-x+1) lgdogf] A101496 6.24711 [-(3*f(x)-2)*(f(x)*x^4+f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A101497 13.7845 [-(x-1)*(x+1)/(x^4+2*x^3-2*x+1) ogf] A101497 14.4876 [-2*(1-x+x^5+x^4-2*x^3-2*x^2)/(x-1)/(x+1)/(x^4+2*x^3-2*x+1) lgdogf] A101497 7.01534 [-(19*f(x)-8)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A101498 12.6406 [-(x-1)*(x+1)/(x^4+3*x^3+x^2-3*x+1) ogf] A101498 13.1437 [-(3-4*x+2*x^5-6*x^2-4*x^3+3*x^4)/(x-1)/(x+1)/(x^4+3*x^3+x^2-3*x+1) lgdogf] A101498 6.27208 [-(71*f(x)-18)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)-1) ogf] A101499 8.3466 [-f(x)^2*x^3-f(x)^2*x+f(x)*x^2+f(x)-1 ogf] A101500 15.6817 [-2*(-1+x-3*x^2+x^3)/(1+x^2)/(x^2-4*x+1) lgdogf] A101500 7.45725 [f(x)^2*x^4-4*f(x)^2*x^3+2*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A101501 10.7478 [-x*(2*x-1)/(4*x-1)/(4*x^2-2*x-1) ogf] A101501 13.0767 [-8*x*(3+8*x^2-9*x)/(4*x-1)/(2*x-1)/(4*x^2-2*x-1) lgdogf] A101501 5.66178 [{-a(n+3)+2*a(n+2)+12*a(n+1)-16*a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A101501 6.2784 [f(x)*(16*f(x)*x^3-12*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x) ogf] A101502 4.75517 [{a(n+4)-2*a(n+3)-12*a(n+2)+16*a(n+1),a(0)=1,a(1)=0,a(2)=4,a(3)=0} ogf] A101502 5.02145 [-(-5+7*f(x))*(16*f(x)*x^3-12*f(x)*x^2-8*x^3-2*f(x)*x+8*x^2+f(x)+2*x-1) ogf] A101502 8.84059 [(8*x^3-8*x^2-2*x+1)/(4*x-1)/(4*x^2-2*x-1) ogf] A101502 9.41279 [8*x*(1-4*x+4*x^2+4*x^3)/(-1+4*x)/(4*x^2-2*x-1)/(8*x^3-8*x^2-2*x+1) lgdogf] A101551 13.3063 [-3*(x^2+1)*(2*x^3-2*x+1)/(x^2+x-1)/(x^4-x^3+2*x^2-2*x+1) lgdogf] A101551 15.2072 [-x^4/(x^2+x-1)/(x^4-x^3+2*x^2-2*x+1) ogf] A101552 12.3386 [-4*(1-3*x+2*x^7-x^3+3*x^2)/(x^2-x+1)/(x^4+x^2-2*x+1)/(x^2+x-1) lgdogf] A101552 13.2907 [-x^6/(x^2-x+1)/(x^4+x^2-2*x+1)/(x^2+x-1) ogf] A101553 15.3606 [-(5*x+1)/(15*x^2-1) ogf] A101553 16.2162 [1/10*(-1+(1+20*x+60*x^2)^(1/2))/(1+3*x) revogf] A101553 17.5676 [-5*(1+6*x+15*x^2)/(5*x+1)/(15*x^2-1) lgdogf] A101553 8.8376 [-(24*f(x)+1)*(15*f(x)*x^2-f(x)+5*x+1) ogf] A101553 9.92529 [{a(n+2)-15*a(n),a(0)=1,a(1)=5} ogf] A101596 16.8290 [16/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdogf] A101596 4.74933 [{(-8*n^2-52*n-84)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=1,a(1)=8} ogf] A101596 7.48933 [16*f(x)^2*x^4-8*f(x)*x^2+8*f(x)*x-f(x)+1 ogf] A101600 12.1265 [-9*f(x)^2*x^2-6*f(x)*x+f(x)-1 ogf] A101600 15.5401 [12/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A101600 5.38888 [{(-12*n-30)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=6} ogf] A101600 50.8585 [x/(1+3*x)^2 revogf] A101601 12.3811 [27*f(x)^2*x^3+9*f(x)*x-f(x)+1 ogf] A101601 14.2110 [18/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A101601 21.3165 [8*x/(1+(1+12*x)^(1/2))^3 revogf] A101601 4.21901 [{(-12*n^2-66*n-90)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=1,a(1)=9} ogf] A101602 15.0942 [24/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A101602 4.40437 [{(-12*n^2-78*n-126)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=1,a(1)=12} ogf] A101602 8.72507 [-81*f(x)^2*x^4+18*f(x)*x^2-12*f(x)*x+f(x)-1 ogf] A101604 15.9374 [-1/(x+1)/(2*x^2+3*x-1) ogf] A101604 17.7933 [-2*(1+5*x+3*x^2)/(x+1)/(2*x^2+3*x-1) lgdogf] A101604 5.83422 [{-a(n+3)+2*a(n+2)+5*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A101604 6.05029 [-(1097*f(x)+268)*(2*f(x)*x^3+5*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A101617 10.5773 [-(3*x+1)*(2*x^2-1)/(2*x+1)/(x-1)/(4*x^2-x-1) ogf] A101617 5.73555 [-(f(x)-11)*(8*f(x)*x^4-6*f(x)*x^3-5*f(x)*x^2+6*x^3+2*f(x)*x+2*x^2+f(x)-3*x-1) ogf] A101617 9.75984 [-(1+6*x+32*x^5+48*x^6+11*x^2-20*x^3-54*x^4)/(x-1)/(1+2*x)/(3*x+1)/(2*x^2-1)/(4*x^2-x-1) lgdogf] A101622 13.5566 [x*(4*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A101622 14.3205 [-2*(-3-x+8*x^3+x^2)/(x-1)/(2*x-1)/(4*x+1)/(x+1) lgdogf] A101622 6.71938 [-(27*f(x)-2024)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-4*x^2+f(x)-x) ogf] A101622 6.96152 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A101640 6.54486 [-(f(x)*x^2-2*f(x)*x+f(x)+371599982*x-371599983)^2 ogf] A101641 6.54486 [-(f(x)*x^2-2*f(x)*x+f(x)+499999983*x-499999984)^2 ogf] A101667 7.23572 [-(x^11+2*x^10+x^9-3*x^8+2*x^7+x^6-3*x^5+x^4+2*x^3-3*x^2+x+3)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A101675 16.0031 [-(x^2+x-1)/(x^2+x+1)/(x^2-x+1) ogf] A101675 18.6921 [-(-1-4*x+2*x^5+x^2-4*x^3+3*x^4)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A101675 9.40388 [-(f(x)-4)*(f(x)*x^4+f(x)*x^2+x^2+f(x)+x-1) ogf] A101676 16.2224 [-x*(4+2*x^4+3*x^5-5*x+6*x^2-7*x^3)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A101676 9.73101 [(x^2+x-1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A101677 11.2188 [-(x^2+x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A101677 17.1091 [-(-1+5*x+3*x^5-7*x^4+7*x^3-5*x^2+4*x^6)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A101686 6.43375 [{(n^2+4*n+5)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A101785 27.3593 [x*(x-1)*(1+x)/(-1-x+x^2) revogf] A101785 8.70249 [-x^2*f(x)^3+f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A101786 24.7188 [x*(-1+2*x^2)/(2*x+1)/(x-1) revogf] A101786 8.51781 [2*x^2*f(x)^3-2*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A101822 18.9364 [-1/(3*x^3+2*x^2+x-1) ogf] A101822 21.4701 [-(1+4*x+9*x^2)/(2*x^2-1+x+3*x^3) lgdogf] A101822 6.25578 [{a(n+3)-a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A101822 6.73699 [-(10*f(x)-9)*(3*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A101825 10.3857 [{-a(n+4)+a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=1} ogf] A101825 12.333 [(5*f(x)+12)*(f(x)*x^3+x^3+2*x^2-f(x)+x) ogf] A101825 18.6158 [-x*(x+1)^2/(x-1)/(x^2+x+1) ogf] A101825 27.0188 [-(2+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A101825 33.9521 [1/2*(x-2)^2 egf]_with_Euler_transform] A101850 10.4499 [(4-15*x-4*x^2+3*(-(-1+4*x)*x^2)^(1/2))/(-1+4*x)/(x^2+8*x-2) lgdogf] A101850 6.91489 [f(x)^2*x^2+8*f(x)^2*x-2*f(x)^2-2*f(x)*x+f(x)+1 ogf] A101853 10.1578 [(x^2-6*x+6)/(x-1)^4 ogf] A101853 21.4416 [-2*(9-8*x+x^2)/(x-1)/(x^2-6*x+6) lgdogf] A101853 5.19176 [(586*f(x)+58327)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+6*x-6) ogf] A101854 23.9276 [-(3*x-4)*(x-6)/(x-1)/(x^2-6*x+6) lgdogf] A101854 3.82519 [{(-6*n-24)*a(n+4)+(60+12*n)*a(n+3)+(-36-7*n)*a(n+2)+(n+4)*a(n+1),a(0)=6,a(1)=24,a(2)=61,a(3)=125} ogf] A101854 9.87770 [-(x^2-6*x+6)/(x-1)^5 ogf] A101855 20.8043 [-2*(15-14*x+2*x^2)/(x-1)/(x^2-6*x+6) lgdogf] A101855 3.74162 [{(-6*n-24)*a(n+4)+(66+12*n)*a(n+3)+(-42-7*n)*a(n+2)+(5+n)*a(n+1),a(0)=6,a(1)=30,a(2)=91,a(3)=216} ogf] A101855 8.67375 [(x^2-6*x+6)/(x-1)^6 ogf] A101859 14.5325 [x*(10*x-11)/(x-1)^3 ogf] A101859 31.3172 [-(-23+20*x)/(x-1)/(10*x-11) lgdogf] A101859 7.20521 [-(205*f(x)-88578)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-10*x^2-f(x)+11*x) ogf] A101859 7.58778 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=23} ogf] A101860 15.1574 [-2*(12+5*x^3-15*x^2)/(x-1)/(10*x^3-30*x^2+20*x+1) lgdogf] A101860 3.78784 [{(431*n^2+2517*n+3310)*a(n+1)+(-908*n^2-5046*n-6604)*a(n+2)+(477*n^2+2391*n+2880)*a(n+3),a(0)=1,a(1)=24,a(2)=60} ogf] A101860 5.22461 [(25*f(x)+77751)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-10*x^3-4*f(x)*x+30*x^2+f(x)-20*x-1) ogf] A101860 9.46960 [(10*x^3-30*x^2+20*x+1)/(x-1)^4 ogf] A101861 13.7828 [-(-84+116*x+2*x^3-39*x^2)/(x-1)/(-2+x)/(x^2-12*x+12) lgdogf] A101861 3.99474 [{(-4*n^2-25*n-39)*a(n+1)+(8*n^2+23*n-63)*a(n+2)+(-4*n^2+2*n+42)*a(n+3),a(0)=24,a(1)=84,a(2)=194} ogf] A101861 8.12264 [(x-2)*(x^2-12*x+12)/(x-1)^5 ogf] A101862 13.2603 [-(-108+152*x+3*x^3-53*x^2)/(x-1)/(-2+x)/(x^2-12*x+12) lgdogf] A101862 4.45992 [{(-4*n^2-33*n-68)*a(n+1)+(8*n^2+31*n-69)*a(n+2)+(-4*n^2+2*n+42)*a(n+3),a(0)=24,a(1)=108,a(2)=302} ogf] A101862 8.28915 [-(x-2)*(x^2-12*x+12)/(x-1)^6 ogf] A101879 11.1549 [-(1-6*x+13*x^2-8*x^3+2*x^4)/(x-1)/(x^2-4*x+1)/(2*x^2-4*x+1) lgdogf] A101879 12.9464 [-(2*x^2-4*x+1)/(x-1)/(x^2-4*x+1) ogf] A101879 7.05117 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A101879 7.11471 [(5*f(x)+3)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A101881 11.0676 [(x^3-x-1)/(x+1)^2/(x-1)^3 ogf] A101881 18.5755 [-(-2-6*x+2*x^4+x^3-x^2)/(x-1)/(x+1)/(x^3-x-1) lgdogf] A101882 10.8911 [-(-2-4*x+2*x^7+4*x^6+2*x^5+x^4-3*x^3-9*x^2)/(x-1)/(x^2+x+1)/(x^5+x^4-x^2-x-1) lgdogf] A101882 9.19420 [(x^5+x^4-x^2-x-1)/(x^2+x+1)^2/(x-1)^3 ogf] A101883 7.92751 [-(-2-4*x-5*x^4-12*x^3+3*x^6-x^5+2*x^10+4*x^9+6*x^8+3*x^7-6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^7+x^6+x^5-x^3-x^2-x-1) lgdogf] A101883 8.08070 [(x^7+x^6+x^5-x^3-x^2-x-1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A101890 12.2733 [-(3*x^2-3*x+1)*(x^2+x-3)/(x-1)/(x^4+2*x^3-5*x^2+4*x-1) lgdogf] A101890 6.2582 [f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x) ogf] A101890 9.70475 [x^2*(x-1)/(x^4+2*x^3-5*x^2+4*x-1) ogf] A101891 12.8937 [-(-1+2*x+x^4-4*x^3-x^2)/(x-1)/(x^4+2*x^3-5*x^2+4*x-1) lgdogf] A101891 5.24135 [-f(x)*(f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A101891 9.05325 [(x-1)^3/(x^4+2*x^3-5*x^2+4*x-1) ogf] A101892 10.1527 [x^2*(x-1)/(2*x^2-2*x+1)/(x^2+2*x-1) ogf] A101892 11.3716 [-(-3+10*x-11*x^2-4*x^3+6*x^4)/(x-1)/(2*x^2-2*x+1)/(x^2+2*x-1) lgdogf] A101892 5.78953 [f(x)*(2*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x)) ogf] A101893 11.3188 [x^2*(x-1)/(2*x^4-4*x^2+4*x-1) ogf] A101893 12.8989 [-(-3+8*x+6*x^4-8*x^3-4*x^2)/(x-1)/(2*x^4-4*x^2+4*x-1) lgdogf] A101893 7.75779 [2*f(x)*x^4-4*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x) ogf] A101912 4.90727 [(x^20+x^18+x^16+x^10+x^8+x^4+x^2+1)/(x^21+x^20+x^18+x^17+x^16+x^10+x^9+x^8+x^5+x^4+x^2+x+1) ogf] A101914 12.0478 [(x^16+x^4+1)/(x^17+x^16+x^4+x+1) ogf] A101915 12.1198 [(x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)*(x^15-x^10+1)/(x^26+x^25+x^5+x+1) ogf] A101916 8.92342 [-(x^37-x^36+x^31-x^6-1)/(x^36-x^32-x^31+x^6+x+1) ogf] A101917 18.6475 [(x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^7+x+1) ogf] A101917 19.4377 [(-1+6*x^7)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^7+x+1) lgdogf] A101918 19.2214 [(x^8+1)/(x^2+x+1)/(x^6-x^5+x^3-x^2+1) ogf] A101918 22.1622 [(-1+7*x^8)/(x^6-x^5+x^3-x^2+1)/(x^2+x+1)/(1+x^8) lgdogf] A101927 4.73954 [{(4*n^2+12*n+10)*a(n+1)+a(n+2),a(0)=1,a(1)=-2} ogf] A101928 7.58474 [{(4*n^2+8*n+5)*a(n+1)+a(n+2),a(0)=1,a(1)=-1} ogf] A101945 11.2072 [(2*x^2-2*x-1)/(2*x-1)/(x-1)^2 ogf] A101945 13.4007 [-2*(3-4*x+2*x^3-2*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x-1) lgdogf] A101945 5.84308 [(1297*f(x)-6834)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+2*x+1) ogf] A101945 6.04992 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=17} ogf] A101946 13.6198 [-(2*x^2+1)/(2*x-1)/(x-1)^2 ogf] A101946 14.8897 [-2*(-2+x+2*x^3+2*x^2)/(x-1)/(2*x-1)/(2*x^2+1) lgdogf] A101946 6.87014 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A101946 6.99392 [(345*f(x)-158)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+1) ogf] A101947 13.1492 [(2+10*x^9+9*x^11-19*x^10)/(x-1)/(x^2-x+1)/(x^9-x^7-x^6+x^4+x^3-x-1) lgdogf] A101947 15.2221 [-(x^2-x+1)*(x^9-x^7-x^6+x^4+x^3-x-1)/(x-1)^2 ogf] A101947 9.83696 [-(x^32-x^29-2*x^22+x^10+x^9+2)/(x^22-x^10-1) ogf_with_Euler_transform] A101986 10.2914 [-x*(x+1)*(x-2)/(x-1)^4 ogf] A101986 23.1268 [-(-9-x+2*x^2)/(x-1)/(-2+x)/(x+1) lgdogf] A101986 3.81356 [{(-6-2*n)*a(n+4)+(11+n)*a(n+3)+(3+2*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=9,a(3)=23} ogf] A101986 5.40483 [(1280*f(x)+8687)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x)-2*x) ogf] A101990 10.1422 [-(3*x+1)*(27*x^3-21*x^2+9*x+1)/(3*x-1)/(3*x^2+1)/(9*x^2-2*x+1) lgdogf] A101990 12.2909 [-(9*x^2-2*x+1)/(3*x-1)/(3*x^2+1) ogf] A101990 6.40809 [-(19*f(x)-23)*(9*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-2*x+1) ogf] A101990 6.69415 [{a(n+3)-3*a(n+2)+3*a(n+1)-9*a(n),a(0)=1,a(1)=1,a(2)=9} ogf] A102000 5.19204 [(f(x)-1)*(8*f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*x^3+f(x)*x-f(x)+x+1) ogf] A102000 9.11727 [-2*(-1-2*x-16*x^4-24*x^3-x^2+16*x^6)/(4*x^3-x-1)/(8*x^4+4*x^3+2*x^2+x-1) lgdogf] A102000 9.70684 [(4*x^3-x-1)/(8*x^4+4*x^3+2*x^2+x-1) ogf] A102001 12.4339 [-(4*x^2+2*x+1)/(4*x^3+2*x^2+x-1) ogf] A102001 6.77204 [{a(n+3)-a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A102001 6.83304 [(7*f(x)+2)*(4*f(x)*x^3+2*f(x)*x^2+f(x)*x+4*x^2-f(x)+2*x+1) ogf] A102001 6.87785 [-(3+12*x+16*x^4+16*x^3+12*x^2)/(4*x^2+2*x+1)/(4*x^3+2*x^2+x-1) lgdogf] A102002 12.3431 [-(7+12*x+16*x^4+48*x^3+20*x^2)/(4*x^2+6*x+1)/(4*x^3+2*x^2+x-1) lgdogf] A102002 12.7684 [-(4*x^2+6*x+1)/(4*x^3+2*x^2+x-1) ogf] A102002 6.89269 [(17*f(x)+19)*(4*f(x)*x^3+2*f(x)*x^2+f(x)*x+4*x^2-f(x)+6*x+1) ogf] A102002 6.89270 [{a(n+3)-a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=7,a(2)=13} ogf] A102026 6.24458 [(4+6*x+x^10+2*x^9+4*x^8+8*x^7+15*x^6+14*x^5+10*x^4+8*x^3+7*x^2)/(x^5+x^4+x^3+x^2+x-1)/(x^6+2*x^5+x^4-x^2-2*x-2) lgdogf] A102026 7.00011 [(x^6+2*x^5+x^4-x^2-2*x-2)/(x^5+x^4+x^3+x^2+x-1) ogf] A102039 10.5271 [(5*x^4+2*x^3+2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A102039 12.3007 [-2*(1+x+6*x^5+9*x^3-2*x^4+5*x^2)/(x-1)/(5*x^4+2*x^3+2*x^2+1)/(x^2+1) lgdogf] A102039 5.88064 [-(f(x)-1)*(f(x)*x^4-2*f(x)*x^3-5*x^4+2*f(x)*x^2-2*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A102040 10.3821 [(5*x^4-4*x^3+6*x^2+3)/(x^2+1)/(x-1)^2 ogf] A102040 13.0918 [-2*(3+3*x+3*x^5-x^4+12*x^3)/(x-1)/(x^2+1)/(5*x^4-4*x^3+6*x^2+3) lgdogf] A102040 5.75996 [-(2*f(x)+13)*(f(x)*x^4-2*f(x)*x^3-5*x^4+2*f(x)*x^2+4*x^3-2*f(x)*x-6*x^2+f(x)-3) ogf] A102041 10.2870 [-(5*x^4-4*x^3-4*x^2-7)/(x^2+1)/(x-1)^2 ogf] A102041 11.0425 [-2*(-7+3*x-20*x^2+12*x^3-11*x^4+3*x^5)/(x-1)/(x^2+1)/(5*x^4-4*x^3-4*x^2-7) lgdogf] A102041 4.36255 [{(-n-4)*a(n)+(n+3)*a(n+1)+(-n-4)*a(n+2)+(n+3)*a(n+3),a(0)=7,a(1)=14,a(2)=18,a(3)=26} ogf] A102041 5.70718 [-(3*f(x)+79)*(f(x)*x^4-2*f(x)*x^3+5*x^4+2*f(x)*x^2-4*x^3-2*f(x)*x-4*x^2+f(x)-7) ogf] A102042 10.3367 [-(5*x^4+2*x^3-8*x^2-9)/(x^2+1)/(x-1)^2 ogf] A102042 11.5658 [-2*(-9+x+6*x^5-12*x^4+9*x^3-15*x^2)/(x-1)/(x^2+1)/(5*x^4+2*x^3-8*x^2-9) lgdogf] A102042 5.85506 [(2*f(x)+143)*(f(x)*x^4-2*f(x)*x^3+5*x^4+2*f(x)*x^2+2*x^3-2*f(x)*x-8*x^2+f(x)-9) ogf] A102071 4.11614 [{(-3*n^2-15*n-18)*a(n+1)+(-5*n^2-40*n-75)*a(n+2)+(-n^2-13*n-45)*a(n+3)+(n^2+12*n+32)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=17} ogf] A102071 9.11706 [-f(x)^2*x^4-f(x)*x^3-3*f(x)*x^2-f(x)*x-x^2+f(x)-2*x-1 ogf] A102080 11.9642 [-2*(2*x^3-4*x-1)/(x+1)/(x^3-x^2-3*x+1) ogf] A102080 6.18486 [(1739*f(x)-13258)*(f(x)*x^4-4*f(x)*x^2+4*x^3-2*f(x)*x+f(x)-8*x-2) ogf] A102080 7.58759 [-(16+44*x+17*x^2-20*x^3-8*x^4+4*x^5+x^6)/(x+1)/(x^3-x^2-3*x+1)/(x^3+2*x^2-4*x-6) lgdogf] A102081 3.18279 [-(235*f(x)-1144)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+4*x^3-f(x)*x+3*x^2+f(x)-4*x-1) ogf] A102081 6.03490 [-(4*x^3+3*x^2-4*x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A102081 9.07220 [-(4+10*x+x^6+10*x^5+10*x^4-16*x^3-15*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^3+5*x^2+x-5) lgdogf] A102083 13.5689 [-(5*x^2+10*x+1)/(x-1)^3 ogf] A102083 22.3255 [-(13+30*x+5*x^2)/(x-1)/(5*x^2+10*x+1) lgdogf] A102083 7.25235 [(121*f(x)-751)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+10*x+1) ogf] A102083 7.37958 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=41} ogf] A102090 3.79121 [-(3*x^7+5*x^6-40*x^5-36*x^4+122*x^3+66*x^2-87*x-47)/(x+1)/(x^2-x-1)/(x^5-x^4-9*x^3+9*x^2+5*x-1) ogf] A102091 10.4516 [-2*(4-13*x+x^4-7*x^3+17*x^2)/(x-1)/(x-3)/(2*x-1)/(x^2-4*x+1) lgdogf] A102091 12.0580 [-4*(2*x-1)*(x-3)/(x-1)/(x^2-4*x+1) ogf] A102091 6.38365 [(3417*f(x)+7726)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+8*x^2-f(x)-28*x+12) ogf] A102091 6.54876 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=12,a(1)=32,a(2)=108} ogf] A102094 10.2772 [(x^3-x^2+39*x+9)/(x-1)^4 ogf] A102094 18.3065 [-(75+115*x+x^3+x^2)/(-1+x)/(x^3-x^2+39*x+9) lgdogf] A102094 4.30981 [{(-2*n^2-11*n-14)*a(n+1)+(-10*n^2-97*n-204)*a(n+2)+(12*n^2+66*n+90)*a(n+3),a(0)=9,a(1)=75,a(2)=245} ogf] A102094 5.30877 [(2932416*f(x)+82460663)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+x^2+f(x)-39*x-9) ogf] A102105 11.3973 [(2*x^2-3*x-1)/(x-1)/(3*x-1)/(5*x-1) ogf] A102105 5.69864 [(10361852*f(x)-5642347)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x-2*x^2-f(x)+3*x+1) ogf] A102105 6.18989 [{a(n+3)-9*a(n+2)+23*a(n+1)-15*a(n),a(0)=1,a(1)=12,a(2)=83} ogf] A102105 8.38346 [-2*(-6+25*x+3*x^2-45*x^3+15*x^4)/(x-1)/(-1+3*x)/(5*x-1)/(2*x^2-3*x-1) lgdogf] A102126 3.54222 [(x^6-2*x^5+2*x^4-3*x^2+2*x+1)/(x-1)^2 ogf] A102129 10.6943 [-2*(x+2)*(x^3-3*x^2-x-1)/(x-1)/(2*x+1)/(x+1)/(x^2+4*x-1) lgdogf] A102129 11.9785 [(2*x+1)*(x-1)/(x+1)/(x^2+4*x-1) ogf] A102129 6.24517 [(8072*f(x)-3821)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+x+1) ogf] A102129 6.46625 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A102147 2.97202 [-72*f(x)^2*x^3+108*f(x)^2*x^2+96*f(x)*x^3-54*f(x)^2*x-144*f(x)*x^2-32*x^3+9*f(x)^2+72*f(x)*x+48*x^2-12*f(x)-24*x+3 egf] A102147 3.65310 [{(4*n^2+6*n)*a(n)+(-2*n^2-11*n-10)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A102186 99.9999 Evaluated at exp(-Pi) 1/2*2^(5/12)*(2^(1/2)*(1+3^(1/2)))^(1/3) A102206 10.4876 [-2*(4-13*x+x^4-7*x^3+17*x^2)/(x-1)/(x-3)/(2*x-1)/(x^2-4*x+1) lgdogf] A102206 12.4449 [-(2*x-1)*(x-3)/(x-1)/(x^2-4*x+1) ogf] A102206 6.27386 [-(6834*f(x)+3863)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-7*x+3) ogf] A102206 6.71803 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=3,a(1)=8,a(2)=27} ogf] A102207 11.6546 [(3*x-4)/(x-1)/(x^2-4*x+1) ogf] A102207 12.1030 [-(-17+40*x-27*x^2+6*x^3)/(x-1)/(3*x-4)/(1-4*x+x^2) lgdogf] A102207 5.41835 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=4,a(1)=17,a(2)=65} ogf] A102207 5.5648 [-(5310*f(x)+89)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)-3*x+4) ogf] A102214 13.1915 [-(2*x+1)^2/(x+1)/(x-1)^3 ogf] A102214 21.9245 [-2*(3+4*x+2*x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A102214 4.21299 [{(-n-4)*a(n+4)-2*n*a(n+3)+(10+n)*a(n+2)+(6+2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=16,a(3)=30} ogf] A102214 6.87761 [-(f(x)+137)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+4*x^2-f(x)+4*x+1) ogf] A102231 5.04544 [(-6*n+12*n^2)*a(n)+(-80-77*n-29*n^2)*a(n+1)+(128+56*n+8*n^2)*a(n+2)+(40+28*n+4*n^2)*a(n+3),a(0)=0,a(1)=1,a(2)=-5 revogf] A102231 5.51102 [f(x)^2*x^2-f(x)^3+9*f(x)^2*x+4*f(x)^2+16*f(x)*x-4*f(x)+4*x ogf] A102237 8.35180 [(9-12*x-16*x^4-144*x^3+48*x^2+256*x^5)/(2*x-1)/(32*x^5+24*x^4-12*x^3+6*x^2-5*x-2) lgdogf] A102237 9.58656 [(32*x^5+24*x^4-12*x^3+6*x^2-5*x-2)/(2*x-1) ogf] A102239 10.0839 [-(5*x^2-2*x-1)/(x-1)/(5*x-1)/(x+1) ogf] A102239 5.34885 [(1302*f(x)+55)*(5*f(x)*x^3-f(x)*x^2-5*f(x)*x+5*x^2+f(x)-2*x-1) ogf] A102239 5.44351 [{a(n+3)-5*a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=7,a(2)=31} ogf] A102239 9.56750 [-(7-8*x+25*x^4-20*x^3+12*x^2)/(x-1)/(5*x-1)/(x+1)/(5*x^2-2*x-1) lgdogf] A102260 9.82952 [-(2*f(x)*x-f(x)+5)^3 ogf] A102283 10.2272 [(f(x)-1)*(f(x)*x^2+f(x)*x+f(x)-x) ogf] A102283 10.2272 [{-a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=1} ogf] A102283 22.3893 [x/(x^2+x+1) ogf] A102283 33.0680 [[x^2-1] ogf_with_Euler_transform] A102283 63.0870 [-(1+2*x)/(x^2+x+1) lgdogf] A102285 12.8450 [-(x-1)/(7*x^2-6*x+1) ogf] A102285 13.7966 [-1/2*(-1-6*x+(1+8*x+8*x^2)^(1/2))/(7*x+1) revogf] A102285 16.1617 [-(5-14*x+7*x^2)/(x-1)/(7*x^2-6*x+1) lgdogf] A102285 6.72122 [(16*f(x)+9)*(7*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A102285 7.04907 [{-a(n+2)+6*a(n+1)-7*a(n),a(0)=1,a(1)=5} ogf] A102289 3.59875 [{(n^3+8*n^2+20*n+16)*a(n+1)+(-n^2-8*n-16)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=15} ogf] A102289 8.14121 [-(2+9*x+2*x^5-8*x^4+7*x^3-8*x^2)/(x+1)/(x^3-2*x^2-1)/(x-1)^2 lgdegf] A102290 10.3055 [-(-3-11*x+14*x^2-7*x^3+3*x^4)/(x+1)/(2-x+x^2)/(-1+x)^2 lgdegf] A102290 4.45036 [{(n+1)*a(n+3)+(-1-n)*a(n+2)+(-n-2)*a(n+1)+n*a(n),a(0)=0,a(1)=0,a(2)=1} egf] A102296 10.9907 [(x+1)*(3*x+2)/(x-1)^4 ogf] A102296 20.6584 [-(13+21*x+6*x^2)/(x-1)/(3*x+2)/(x+1) lgdogf] A102296 3.77292 [{(2*n+8)*a(n+4)+(-4+3*n)*a(n+3)+(-25-2*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=2,a(1)=13,a(2)=43,a(3)=102} ogf] A102296 5.26637 [(47956000*f(x)+211472609)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-5*x-2) ogf] A102301 14.0190 [-1/(x-1)/(x+1)/(2*x-1)^2 ogf] A102301 19.2417 [-2*(-2-x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A102301 3.43464 [{(-n-4)*a(n+4)+(10+2*n)*a(n+3)+(n+4)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=4,a(2)=13,a(3)=36} ogf] A102301 6.5794 [(14*f(x)-13)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A102302 11.9816 [-(-3-5*x+x^7-x^5+3*x^6-11*x^3+x^4-x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3-x^2-3) lgdogf] A102302 12.3816 [-(x^4+x^3-x^2-3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A102303 5.16962 [{a(n+3)-7*a(n+2)-a(n+1)+7*a(n),a(0)=1,a(1)=9,a(2)=57} ogf] A102303 6.23584 [(289*f(x)-154)*(7*f(x)*x^3-f(x)*x^2-7*f(x)*x+7*x^2+f(x)-2*x-1) ogf] A102303 9.22878 [-(7*x^2-6*x+3)*(7*x^2+2*x+3)/(x-1)/(7*x-1)/(x+1)/(7*x^2-2*x-1) lgdogf] A102303 9.57651 [-(7*x^2-2*x-1)/(x-1)/(7*x-1)/(x+1) ogf] A102305 12.9463 [-(3*x^2-7*x+6)/(x-1)^3 ogf] A102305 22.1211 [-(11-8*x+3*x^2)/(x-1)/(3*x^2-7*x+6) lgdogf] A102305 6.86717 [(412*f(x)+741)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-7*x+6) ogf] A102305 6.92741 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=11,a(2)=18} ogf] A102307 10.2969 [-2*(8*x-3+(1-12*x+16*x^2)^(1/2))/(1-12*x+16*x^2) lgdogf] A102312 11.234 [-f(x)*x^2-11*f(x)*x+f(x)-5*x ogf] A102312 11.6257 [1/2*(-5-11*x+(5+22*x+25*x^2)^(1/2)*5^(1/2))/x revogf] A102312 17.7379 [-5*x/(x^2+11*x-1) ogf] A102312 23.7799 [-(11+2*x)/(x^2-1+11*x) lgdogf] A102312 8.21999 [{-a(n+2)+11*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A102314 10.0817 [-(x^12+x^10+x^8+2*x^6+x^4+x^2+1)/(-x^14+1) ogf_with_Euler_transform] A102315 14.4771 [-(-2*x^4-4*x^2-2)/(-x^6+1) ogf_with_Euler_transform] A102341 10.7448 [12/(x^2-14*x+1)/(x^2+4*x+1) ogf] A102341 11.1628 [-2*(-5-54*x+2*x^3-15*x^2)/(x^2-14*x+1)/(x^2+4*x+1) lgdogf] A102341 4.31421 [-(119833*f(x)+132)*(f(x)*x^4-10*f(x)*x^3-54*f(x)*x^2-10*f(x)*x+f(x)-12) ogf] A102344 12.7131 [(7-2*x+7*x^2)/(1-14*x+x^2)/(x^2-21*x+2) lgdogf] A102344 13.3446 [(x^2-21*x+2)/(x^2-14*x+1) ogf] A102344 7.05725 [{a(n+3)-14*a(n+2)+a(n+1),a(0)=2,a(1)=7,a(2)=97} ogf] A102344 7.19563 [-(96*f(x)-143)*(f(x)*x^2-14*f(x)*x-x^2+f(x)+21*x-2) ogf] A102345 14.3356 [2*(x-1)/(x+1)/(3*x-1) ogf] A102345 18.0592 [-(-1-6*x+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A102345 7.41498 [(14*f(x)-27)*(3*f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A102345 7.86712 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=2,a(1)=2} ogf] A102352 14.8632 [-(x^7-x^6+x-2)/(x-1)^2 ogf] A102352 20.2170 [(3-x+5*x^7-11*x^6+6*x^5)/(x-1)/(x^7-x^6+x-2) lgdogf] A102403 32.6556 [-x*(x-1)/(1-x^2+x^3) revogf] A102403 8.65508 [f(x)^3*x^3-f(x)^2*x^2+f(x)^2*x-f(x)+1 ogf] A102406 13.9758 [1/2*((1+x)^(1/2)*(4*x^2-3*x+1)^(1/2)-1+x-2*x^2)/x/(x-1) revogf] A102406 6.89269 [-f(x)^2*x^3-2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+f(x)*x+f(x)-1 ogf] A102407 15.1464 [1/2/(1+x)*(x-1+(-(x-1)*(4*x^2+3*x+1))^(1/2)) revogf] A102407 9.78369 [f(x)^2*x+f(x)*x^2-f(x)*x-f(x)+x+1 ogf] A102420 9.39225 [-x^8-x^7-x^6-x^5+x^3+x^2+x+1 ogf_with_Euler_transform] A102422 10.5229 [-(x-1)*(x^4+x^3+x^2+x+1)^2 ogf_with_Euler_transform] A102429 9.02186 [(x^3-x^2-1)/(x-1)/(x^4-2*x^2-x+1) ogf] A102429 9.68628 [-(-2-4*x+2*x^7-4*x^6+2*x^5-4*x^4+11*x^2)/(x-1)/(x^3-x^2-1)/(x^4-2*x^2-x+1) lgdogf] A102436 11.7185 [-(x-1)/(x^3-4*x^2-6*x+1) ogf] A102436 13.8387 [-(5+8*x+2*x^3-7*x^2)/(x-1)/(x^3-4*x^2-6*x+1) lgdogf] A102436 5.49630 [{-a(n+3)+6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=34} ogf] A102436 5.69801 [(10989*f(x)-575)*(f(x)*x^3-4*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A102438 10.4034 [(25*f(x)+1492)*(f(x)*x^2-2*f(x)*x+f(x)-56*x-44) ogf] A102438 11.1378 [{-a(n+2)+2*a(n+1)-a(n),a(0)=44,a(1)=144} ogf] A102438 19.8146 [-(-22-x+2*(121+25*x)^(1/2))/(-56+x) revogf] A102438 20.1427 [4*(14*x+11)/(x-1)^2 ogf] A102438 25.6855 [-2*(18+7*x)/(14*x+11)/(x-1) lgdogf] A102439 15.8230 [4*(24*x+1)/(x-1)^2 ogf] A102439 22.2814 [-(-2-x+2*(1+25*x)^(1/2))/(-96+x) revogf] A102439 26.4076 [-2*(13+12*x)/(24*x+1)/(x-1) lgdogf] A102439 8.08733 [(25*f(x)+1252)*(f(x)*x^2-2*f(x)*x+f(x)-96*x-4) ogf] A102439 8.66500 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=104} ogf] A102446 20.0942 [1/8/x*(-x-2+(17*x^2+4*x+4)^(1/2)) revogf] A102446 23.6023 [-2/(4*x^2+x-1) ogf] A102446 33.1554 [-(1+8*x)/(4*x^2+x-1) lgdogf] A102446 9.38403 [(29*f(x)-56)*(4*f(x)*x^2+f(x)*x-f(x)+2) ogf] A102446 9.49848 [{-a(n+2)+a(n+1)+4*a(n),a(0)=2,a(1)=2} ogf] A102484 7.01106 [(9119-8899*x+8091900*x^11-17090100*x^10+9000000*x^9)/(x-1)/(899100*x^11-900000*x^10+8899*x-9009) lgdogf] A102484 8.69365 [-(899100*x^11-900000*x^10+8899*x-9009)/(x-1)^2 ogf] A102485 16.7722 [(2*x+1)/(2*x-1)/(3*x-1) ogf] A102485 18.0869 [-(-7+12*x+12*x^2)/(3*x-1)/(2*x+1)/(2*x-1) lgdogf] A102485 18.0869 [-1/4*(-1-5*x+(1+18*x+x^2)^(1/2))/(-1+3*x) revogf] A102485 8.67525 [(23*f(x)+26)*(6*f(x)*x^2-5*f(x)*x+f(x)-2*x-1) ogf] A102485 9.20423 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=1,a(1)=7} ogf] A102486 12.7077 [-5*f(x)*x^2+4*f(x)*x-f(x)-2*x+2 ogf] A102486 17.7908 [-2*(x-1)/(5*x^2-4*x+1) ogf] A102486 23.1049 [-(-1-2*x+(-x^2+1+2*x)^(1/2))/(2+5*x) revogf] A102486 23.7651 [-(3-10*x+5*x^2)/(x-1)/(5*x^2-4*x+1) lgdogf] A102486 9.76324 [{-a(n+2)+4*a(n+1)-5*a(n),a(0)=2,a(1)=6} ogf] A102487 7.30070 [x*(3*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102488 6.09939 [(x^26+x^25+10*x^24-10*x^20+x^2+x+10)/(x+1)/(x^8+1)/(x^16-x^8+1)/(x-1)^2 ogf] A102489 7.28781 [x*(7*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102491 7.06388 [x*(11*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102492 6.73803 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+10)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102493 6.78502 [x*(51*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102516 10.2167 [-(-2+6*x+5*x^6-6*x^5+2*x^3-6*x^2)/(x-1)/(x^2+x-1)/(x^4-x^3+2*x^2-2*x+1) lgdogf] A102516 11.3289 [x*(x-1)/(x^2+x-1)/(x^4-x^3+2*x^2-2*x+1) ogf] A102517 13.6385 [(x^2+1)/(x^2-x+1)/(2*x^2+1) ogf] A102517 17.8505 [-(2*x^2-x+1)*(2*x^3+3*x-1)/(1+x^2)/(x^2-x+1)/(1+2*x^2) lgdogf] A102517 6.87213 [-(f(x)+2)*(2*f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-f(x)*x-x^2+f(x)-1) ogf] A102518 14.9676 [1/12+3/4*x-1/12*(1-6*x+81*x^2)^(1/2) revogf] A102518 15.2903 [-9*f(x)*x+f(x)+6*x-1 ogf] A102518 18.5963 [(-1+6*x)/(9*x-1) ogf] A102518 31.6960 [3/(9*x-1)/(6*x-1) lgdogf] A102518 9.55642 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=3} ogf] A102526 7.88462 [-(1+2*x^9+4*x^8+6*x^7+2*x+2*x^6-2*x^5+x^4-2*x^3-5*x^2)/(x+1)/(x^2+x-1)/(x^3+x-1)/(x^4+x^2-1) lgdogf] A102526 8.31504 [-(x+1)*(x^3+x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A102543 5.89043 [-(-2*x^4+3*x^14+6*x^12+x^2-4*x^3+2*x^5-3*x^8+x^6+9*x^10-2*x^9+1)/(x^3+x-1)/(x^6+x^4+x^2-1)/(x^6+x^2-1) lgdogf] A102543 9.61813 [-(x^6+x^4+x^2-1)/(x^3+x-1)/(x^6+x^2-1) ogf] A102560 12.8435 [(x^2+x+1)/(x^2+1)/(x+1) ogf] A102560 26.9626 [[x^3-x^2] ogf_with_Euler_transform] A102560 28.6172 [-x^2*(3+2*x+x^2)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A102560 7.12232 [{-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A102560 8.80287 [f(x)*x^3+f(x)*x^2+f(x)*x-x^2+f(x)-x-1 ogf] A102561 16.8170 [(2*x^3-1)/(2*x^2-1)/(2*x^2+1) ogf] A102561 18.1946 [-2*x^2*(4*x^4-8*x+3)/(2*x^2-1)/(2*x^2+1)/(2*x^3-1) lgdogf] A102561 9.82813 [-(28*f(x)-27)*(4*f(x)*x^4-2*x^3-f(x)+1) ogf] A102572 13.3881 [-x^3*(x^48-x^12-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x^16-x^8+1)/(x-1)^2 ogf] A102572 7.78142 [(125+1500*x^11+1180*x^24-1200*x^23+79*x^48-768*x^47-944*x^36+960*x^35-1475*x^12)/(x-1)/(689*x^48-16*x^36+20*x^24-25*x^12-125) lgdogf] A102591 13.1146 [-(2*x-1)/(4*x^2-8*x+1) ogf] A102591 13.7661 [-1/4*(-1-8*x+(1+8*x+48*x^2)^(1/2))/(2*x+1) revogf] A102591 14.8250 [-2*(3-4*x+4*x^2)/(-1+2*x)/(1-8*x+4*x^2) lgdogf] A102591 6.41477 [-(112*f(x)-31)*(4*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A102591 7.19706 [{a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=6} ogf] A102592 11.3770 [-(4*x-1)/(16*x^2-12*x+1) ogf] A102592 12.1664 [-1/8*(-1-12*x+(1+8*x+80*x^2)^(1/2))/(1+4*x) revogf] A102592 12.7599 [-8*(1-4*x+8*x^2)/(-1+4*x)/(16*x^2-12*x+1) lgdogf] A102592 5.81216 [-(21*f(x)-5)*(16*f(x)*x^2-12*f(x)*x+f(x)+4*x-1) ogf] A102592 6.36569 [{a(n+2)-12*a(n+1)+16*a(n),a(0)=1,a(1)=8} ogf] A102594 3.88801 [{(27*n^3-27*n^2+6*n)*a(n)+(-4*n^3-2*n^2+14*n+12)*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A102594 5.07132 [f(x)^3*x+4*f(x)^2*x-7*f(x)*x^2+x^3-4*f(x)*x+7*x^2-f(x)-x+1 ogf] A102603 17.6891 [3*(x+7)/(x-1)^2 ogf] A102603 21.0014 [-1/2*(-21-2*x+(441+96*x)^(1/2))/(-3+x) revogf] A102603 42.0027 [-(15+x)/(x+7)/(x-1) lgdogf] A102603 8.65639 [(2128*f(x)+107187)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-21) ogf] A102603 9.68690 [{-a(n+2)+2*a(n+1)-a(n),a(0)=21,a(1)=45} ogf] A102620 10.3514 [{-a(n+3)+3*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A102620 19.1756 [-(x+1)^2/(x^3-x^2+3*x-1) ogf] A102620 28.8872 [-(5-5*x+x^3+3*x^2)/(x+1)/(x^3-x^2+3*x-1) lgdogf] A102620 9.99752 [-(43*f(x)+57)*(f(x)*x^3-f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+1) ogf] A102637 4.78885 [(8*x^11-9*x^10-7*x^9-15*x^8+26*x^7+20*x^6+4*x^5-30*x^4-18*x^3+19*x^2+7*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A102650 10.7091 [4*(x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A102650 8.30892 [-(-3-2*x+2*x^2-4*x^3+7*x^4+6*x^5+6*x^6)/(x-1)/(2*x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A102651 11.3188 [-4*(x^4-x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A102651 11.6696 [-(3+2*x^8-8*x^5-x^4)/(x-1)/(2*x-1)/(x+1)/(x^2+1)/(x^4-x-1) lgdogf] A102652 14.1601 [4/(2*x-1)/(x-1)/(x^2+1) ogf] A102652 15.8195 [-(-3+6*x+8*x^3-9*x^2)/(2*x-1)/(x-1)/(x^2+1) lgdogf] A102652 5.78204 [(17*f(x)+256)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-3*f(x)*x+f(x)-4) ogf] A102653 10.3067 [-(3-4*x+2*x^6-4*x^5-2*x^3+3*x^2)/(2*x-1)/(x-1)/(x^2+1)/(x^3-x^2-1) lgdogf] A102653 5.1018 [(37*f(x)+260)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2+4*x^3-3*f(x)*x-4*x^2+f(x)-4) ogf] A102653 9.50473 [-4*(x^3-x^2-1)/(2*x-1)/(x-1)/(x^2+1) ogf] A102670 5.01732 [x^2*(x^26+x^24+x^22+x^20+x^18+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102682 4.70822 [-x^8*(x^62+2*x^61+2*x^60+x^2+2*x+1)/(2*x^69-2*x^68+2*x^67-2*x^66+2*x^65-2*x^64+2*x^63-x^62+2*x^61-2*x^60-x^12+x^10+x^2-1) ogf] A102683 5.00892 [x^9*(x^71+3*x^11-3*x^10+x-1)/(x^71-3*x^21+3*x^20+2*x^11-2*x^10+x-1) ogf] A102683 6.48174 [-(-2*x^20+2*x^19-x^10+x^9)/(x^71+2*x^11-2*x^10+x-1) ogf_with_Euler_transform] A102684 8.61885 [-x^9*(x^70+x^69+x^68+1)/(x^78+x^71-x^68-x^11+x^10+x-1) ogf] A102685 30.3445 [-x^18+x^9+2 ogf_with_Euler_transform] A102685 4.45575 [x*(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A102689 12.8750 [4*(1883*x+617)/(x-1)^2 ogf] A102689 14.6171 [-(-1234-x+2*(380689+2500*x)^(1/2))/(-7532+x) revogf] A102689 19.4895 [-(3117+1883*x)/(1883*x+617)/(x-1) lgdogf] A102689 6.56623 [(1250*f(x)+6630689)*(f(x)*x^2-2*f(x)*x+f(x)-7532*x-2468) ogf] A102689 7.37780 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2468,a(1)=12468} ogf] A102692 2.99456 [{(-n^3+n)*a(n)+(7*n^3+19*n^2+14*n+2)*a(n+1)+(-7*n^3-44*n^2-89*n-58)*a(n+2)+(n^3+9*n^2+26*n+24)*a(n+3),a(0)=1,a(1)=2,a(2)=2} egf] A102693 21.4670 [(-1+(2*x+1)^(1/2))/(2*x+1) revegf] A102693 5.75539 [{(4*n^2+26*n+42)*a(n+1)+(-n-5)*a(n+2),a(0)=1,a(1)=5} ogf] A102693 6.90647 [-4*f(x)^2*x^4+f(x)^2*x^3+4*f(x)*x^2-5*f(x)*x+f(x)-1 egf] A102702 13.9425 [-(-3-3*x+x^4+3*x^3+6*x^2)/(x^2+x-1)/(x^3+2*x^2+x-2) lgdogf] A102702 5.14391 [-(3*f(x)-1)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+2*x^2+f(x)+x-2) ogf] A102702 9.41936 [-(x^3+2*x^2+x-2)/(x^2+x-1)^2 ogf] A102713 12.5367 [-2*(1+5*x+2*x^3)/(2*x-1)/(x+1)/(1+x^2) lgdogf] A102713 5.99338 [-(920*f(x)+577)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x-x^2+f(x)-1) ogf] A102713 7.52723 [(x^2+1)/(x+1)^2/(2*x-1)^2 ogf] A102714 14.2087 [-(-5-8*x+4*x^2+2*x^3)/(x+2)/(x+1)/(x^2-3*x+1) lgdogf] A102714 14.2951 [(x+2)/(x+1)/(x^2-3*x+1) ogf] A102714 6.70480 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=14} ogf] A102714 6.8256 [-(567*f(x)+370)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-x-2) ogf] A102736 13.4808 [-2*(1+x+x^3+2*x^2)/(x-1)/(1+x)/(x^2+x+1) lgdegf] A102736 15.9946 [x^2*f(x)^3-2*f(x)^3*x+f(x)^3-x^2-x-1 egf] A102736 7.68968 [{(n^3+3*n^2+2*n)*a(n)+(n+2)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=2} ogf] A102741 5.51360 [{(-n-2)*a(n+2)+(6+n)*a(n+1),a(0)=81,a(1)=405} ogf] A102741 72.0965 [-5/(x-1) lgdogf] A102741 9.83258 [-81/(x-1)^5 ogf] A102757 10.0736 [-68+153*x+(9-84*x+153*x^2)*f(x)+(2-12*x+18*x^2)*f(x)^2 lgdegf] A102757 3.80349 [{(-9*n^2-36*n-36)*a(n+1)+(6*n+16)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=31} ogf] A102762 13.7206 [-(x^4+4*x^3-7*x^2+5*x-1)/(x-1)^3 ogf] A102762 19.3363 [(-2+4*x-5*x^2-4*x^3+x^4)/(x-1)/(x^4+4*x^3-7*x^2+5*x-1) lgdogf] A102762 7.33674 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=-1,a(1)=2,a(2)=2,a(3)=3,a(4)=6} ogf] A102762 7.88429 [-(52*f(x)+125)*(f(x)*x^3+x^4-3*f(x)*x^2+4*x^3+3*f(x)*x-7*x^2-f(x)+5*x-1) ogf] A102773 27.7924 [-(-5+16*x)/(-1+4*x)^2 lgdegf] A102773 4.04744 [{(-16*n^2-64*n-64)*a(n+1)+(8*n+21)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=49} ogf] A102784 4.84388 [-(f(x)-1)^3 ogf] A102785 11.3472 [(x-1)/(3*x^3-2*x^2+2*x-1) ogf] A102785 12.3106 [-(-1+4*x+6*x^3-11*x^2)/(x-1)/(3*x^3-2*x^2+2*x-1) lgdogf] A102785 5.41802 [{a(n+3)-2*a(n+2)+2*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A102785 5.56851 [-(23*f(x)-9)*(3*f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A102794 2.61263 [(13579795031*f(x)-11174911200)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+360*x+36) ogf] A102794 4.83807 [{a(n+4)-111*a(n+3)+1110*a(n+2)-1000*a(n+1),a(0)=1,a(1)=36,a(2)=4356,a(3)=443556} ogf] A102794 7.79981 [36*(1+20*x+10000*x^4+2000*x^3-2220*x^2)/(x-1)/(100*x-1)/(10*x-1)/(1000*x^3-1470*x^2+75*x-1) lgdogf] A102794 8.58182 [(1000*x^3-1470*x^2+75*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A102807 10.0121 [-(490*x^2-95*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A102807 5.37965 [(9044673*f(x)-1854007)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+490*x^2-f(x)-95*x+1) ogf] A102807 5.81349 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=16,a(2)=1156} ogf] A102807 8.35039 [-4*(4-310*x+122500*x^4-47500*x^3+13515*x^2)/(x-1)/(100*x-1)/(10*x-1)/(490*x^2-95*x+1) lgdogf] A102815 11.4758 [-(169*x^79+220*x^78-8*x^2-2*x+11)/(21*x^79-20*x^78-x^2+2*x-1) ogf] A102815 26.4311 [-2*(-10+9*x)/(x-1)/(8*x^2+2*x-11) lgdogf] A102839 25.4132 [-3*(3*x+1)/(x+1)/(-1+3*x) lgdogf] A102839 4.32956 [{(-2-n)*a(n+3)+(5+2*n)*a(n+2)+(9+3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=3} ogf] A102840 35.4022 [-3*(5*x-1)/(1-2*x+5*x^2) lgdogf] A102840 5.38463 [{(-2-n)*a(n+3)+(5+2*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=3} ogf] A102841 14.2820 [-1/(x+1)/(2*x-1)^3 ogf] A102841 28.6139 [-(5+8*x)/(x+1)/(2*x-1) lgdogf] A102841 4.22822 [{(n+3)*a(n+3)+(-7-n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=5,a(2)=19} ogf] A102841 5.31147 [-(f(x)+1)*(8*f(x)*x^4-4*f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A102860 14.0788 [16*x/(x-1)^4 ogf] A102860 6.18094 [-(7*f(x)+72)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-16*x) ogf] A102860 7.31015 [{(n+1)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=16} ogf] A102860 93.6679 [-4/(x-1) lgdogf] A102865 12.2722 [-(3-6*x+16*x^4+8*x^3+3*x^2)/(-1+x)/(4*x-1)/(x+1)/(4*x^2+x-1) lgdogf] A102865 12.2846 [-(4*x^2+x-1)/(x-1)/(4*x-1)/(x+1) ogf] A102865 6.51619 [-(5*f(x)+4)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+4*x^2+f(x)+x-1) ogf] A102865 6.69074 [{-a(n+3)+4*a(n+2)+a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A102866 14.2316 [-(2*x-2)/(4*x^3-2*x^2-2*x+1) ogf_with_Euler_transform] A102871 10.5897 [(2*x-1)/(x-1)/(x^2-4*x+1) ogf] A102871 11.1982 [-(-3+10*x+4*x^3-13*x^2)/(x-1)/(2*x-1)/(x^2-4*x+1) lgdogf] A102871 4.96684 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A102871 5.1023 [-(225*f(x)+47)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)-2*x+1) ogf] A102875 7.04531 [-(-1-2*x-x^6-12*x^5+x^4-12*x^3-24*x^2+x^10-2*x^9-12*x^7)/(x^2+x-1)/(x^5-x^4-x^2-x-2)/(x^4-x^3+2*x^2+x+1) lgdogf] A102875 9.65848 [x*(x^5-x^4-x^2-x-2)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A102879 10.5446 [-2*(1-2*x+6*x^2-2*x^3+x^4)/(x-1)/(x+1)/(x^2+1)/(x^2-4*x+1) lgdogf] A102879 5.4301 [-f(x)^2*x^4+4*f(x)^2*x^3-2*f(x)^2*x^2+x^4+4*f(x)^2*x-f(x)^2-2*x^2+1 ogf] A102880 7.41684 [-f(x)^2*x^3-f(x)*x^4-x^4-f(x)^2*x+2*x^2+f(x)-1 ogf] A102881 10.6993 [-(1+4*x+4*x^4+12*x^3+12*x^2)/(x+1)/(2*x^2+2*x-1)/(2*x^2+2*x+1) lgdogf] A102881 7.2777 [-4*f(x)^2*x^4-8*f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2-x^2-2*x-1 ogf] A102882 14.7731 [-2*x*(1+9*x+21*x^2+15*x^3)/(1+2*x)/(3*x^2-1)/(5*x^2+4*x+1) lgdogf] A102882 7.20509 [-15*f(x)^2*x^4-12*f(x)^2*x^3+2*f(x)^2*x^2+4*f(x)^2*x+f(x)^2-4*x^2-4*x-1 ogf] A102893 4.77673 [{(27*n^3-3*n)*a(n)+(-4*n^3-6*n^2+4*n+6)*a(n+1),a(0)=1,a(1)=0,a(2)=1} ogf] A102893 6.8699 [-f(x)^3*x-2*f(x)^2*x+2*f(x)*x-x^2+f(x)+x-1 ogf] A102898 3.82733 [{40*a(n)*n-12*a(n+1)*n+(-10*n-30)*a(n+2)+(3*n+9)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A102898 8.48217 [-10*f(x)^2*x+3*f(x)^2+2*f(x)*x-3*f(x)-x ogf] A102899 11.6874 [x*(x^2-x+1)*(x+1)^2/(x-1)^2/(x^2+x+1)^2 ogf] A102899 15.4609 [-(1-x+10*x^2-x^3+x^4+2*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A102899 24.3692 [-x^5+3*x^2-x+1 ogf_with_Euler_transform] A102900 13.9834 [(2*x-1)/(x+1)/(4*x-1) ogf] A102900 14.6796 [1/4*(-1-3*x+(1-2*x+25*x^2)^(1/2))/(-1+2*x) revogf] A102900 15.8088 [-(-1-8*x+8*x^2)/(-1+4*x)/(-1+2*x)/(x+1) lgdogf] A102900 7.23281 [(53*f(x)-52)*(4*f(x)*x^2+3*f(x)*x-f(x)-2*x+1) ogf] A102900 7.67383 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A102901 10.463 [6*f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A102901 14.6482 [(x-1)/(2*x+1)/(3*x-1) ogf] A102901 16.2320 [1/2/(-1+6*x)*(-1-x+(1-2*x+25*x^2)^(1/2)) revogf] A102901 19.6752 [-6*x*(-2+x)/(x-1)/(3*x-1)/(2*x+1) lgdogf] A102901 8.13788 [{-a(n+2)+a(n+1)+6*a(n),a(0)=1,a(1)=0} ogf] A102902 13.0976 [-1/32*(-1-9*x+(17*x+1)^(1/2)*(1+x)^(1/2))/x revogf] A102902 16.9171 [1/(16*x^2-9*x+1) ogf] A102902 22.5279 [-(-9+32*x)/(16*x^2+1-9*x) lgdogf] A102902 6.84739 [(49*f(x)+32)*(16*f(x)*x^2-9*f(x)*x+f(x)-1) ogf] A102902 6.92988 [{-a(n+2)+9*a(n+1)-16*a(n),a(0)=1,a(1)=9} ogf] A102905 5.65225 [(2*x^9-x^8-4*x^7+2*x^6+2*x^5+2*x^4-4*x^3-4*x^2+3)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A102909 3.62596 [-(x^8+162*x^7+3418*x^6+14212*x^5+16578*x^4+5482*x^3+466*x^2+1)/(x-1)^9 ogf] A103115 13.7860 [-(11*x^2+2*x-1)/(x-1)^3 ogf] A103115 22.2903 [-(-1+26*x+11*x^2)/(x-1)/(11*x^2+2*x-1) lgdogf] A103115 7.18263 [-(38*f(x)-157)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+2*x-1) ogf] A103115 7.56401 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-1,a(1)=-1,a(2)=11} ogf] A103127 11.4894 [(x^4+10*x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A103127 9.56224 [-(3+7*x+21*x^6+17*x^5+21*x^4+23*x^3+x^7+35*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+10*x^3+2*x^2+2*x+1) lgdogf] A103134 11.2136 [-1/2*(-3-18*x+((40*x+9)*(1+8*x))^(1/2))/(x-1) revogf] A103134 14.5147 [(x+3)/(x^2-18*x+1) ogf] A103134 15.7691 [-(x+11)*(x-5)/(x+3)/(x^2-18*x+1) lgdogf] A103134 7.50198 [(984*f(x)+73)*(f(x)*x^2-18*f(x)*x+f(x)-x-3) ogf] A103134 7.94851 [{-a(n+2)+18*a(n+1)-a(n),a(0)=3,a(1)=55} ogf] A103135 11.5076 [-(3*x^3+18*x^2-14*x+1)/(3*x^2-3*x+1)/(x^2+x-1) ogf] A103135 6.28494 [(10204*f(x)+194191)*(3*f(x)*x^4-5*f(x)*x^2+3*x^3+4*f(x)*x+18*x^2-f(x)-14*x+1) ogf] A103135 9.50412 [-(-10+26*x+108*x^5+9*x^6+7*x^2-12*x^3-111*x^4)/(x^2+x-1)/(3*x^3+18*x^2-14*x+1)/(3*x^2-3*x+1) lgdogf] A103137 13.8025 [-f(x)^2+f(x)*x+3*f(x)-2 ogf] A103137 25.4342 [-1/2*(3+(1+4*x)^(1/2))/(-2+x)*x revogf] A103137 39.4230 [-1/(1+6*x+x^2)^(1/2) lgdogf] A103137 5.34604 [{a(n+1)*n+(6*n+9)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=-1,a(2)=2} ogf] A103138 10.6223 [f(x)*x^2+f(x)^2+5*f(x)*x+2*f(x)-2*x ogf] A103138 16.0950 [-1/2*(3*x-1+(1+6*x+x^2)^(1/2))/(1+6*x+x^2)^(1/2)/x lgdogf] A103138 3.31379 [{(3*n^2+3*n-6)*a(n+1)+(17*n^2+41*n+30)*a(n+2)+(-3*n^2-21*n-36)*a(n+3)+(-n^2-7*n-12)*a(n+4),a(0)=0,a(1)=1,a(2)=-3,a(3)=10} ogf] A103142 15.6178 [-1/(x^4+x^3+x^2+2*x-1) ogf] A103142 18.7916 [-(2+2*x+4*x^3+3*x^2)/(x^2-1+2*x+x^4+x^3) lgdogf] A103142 6.54076 [(7*f(x)-2)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A103143 17.3817 [-x^2/(3*x^3+x^2+x-1) ogf] A103143 25.8355 [-(1+2*x+9*x^2)/(x^2-1+x+3*x^3) lgdogf] A103143 7.11070 [{-a(n+3)+a(n+2)+a(n+1)+3*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A103143 9.6565 [-3*f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x) ogf] A103145 14.4087 [-(19-9*x-12*x^2+6*x^3)/(x-1)/(2*x-3)/(3*x^2-3*x-1) lgdogf] A103145 5.03621 [(1658*f(x)+198957)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x+15*x^2+f(x)-7*x-3) ogf] A103145 9.42676 [(2*x-3)*(3*x^2-3*x-1)/(x-1)^4 ogf] A103154 6.00802 [-(139+179*x+121*x^6+161*x^5+799*x^4+259*x^3+81*x^7+41*x^8+x^9+219*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+20*x^4+20*x^3+20*x^2+20*x+119) lgdogf] A103154 8.75118 [(x^5+20*x^4+20*x^3+20*x^2+20*x+119)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A103177 10.8959 [-(2*x-1)*(2*x-3)/(3*x-1)/(x-1)^2 ogf] A103177 11.4319 [-(-7+27*x+12*x^3-36*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(-3+2*x) lgdogf] A103177 5.68078 [(1213*f(x)+2393)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-8*x+3) ogf] A103177 5.88188 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=3,a(1)=7,a(2)=18} ogf] A103180 6.54463 [-(2*x^10+x^9-3*x^8+2*x^7+x^6-3*x^5+x^4+2*x^3-3*x^2+x+2)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A103181 11.4031 [-x*(11*x^10+10*x^9+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A103181 7.89805 [-2*x*(1-5*x^17+15*x^19+11*x^20-35*x^9-38*x^10+45*x^7+50*x^8)/(x-1)/(x+1)/(x^2+1)/(11*x^10+10*x^9+1)/(x^8-x^6+x^4-x^2+1) lgdogf] A103192 11.4894 [(x^4+10*x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A103192 9.56224 [-(3+7*x+21*x^6+17*x^5+21*x^4+23*x^3+x^7+35*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+10*x^3+2*x^2+2*x+1) lgdogf] A103194 3.99056 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A103196 13.1753 [-(2*x+1)/(2*x-1)/(x+1)^2 ogf] A103196 6.86798 [{a(n+3)-3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A103196 7.25382 [(199*f(x)-108)*(2*f(x)*x^3+3*f(x)*x^2-f(x)+2*x+1) ogf] A103200 10.1019 [-(x^2+x+1)/(x-1)/(x^4-8*x^2+1) ogf] A103200 10.7659 [-(2+18*x+3*x^6+2*x^5-6*x^4-20*x^3-17*x^2)/(x-1)/(x^2+x+1)/(x^4-8*x^2+1) lgdogf] A103201 5.66864 [-(1240*f(x)-1131)*(f(x)*x^4-8*f(x)*x^2+x^3-x^2+f(x)-19*x-11) ogf] A103201 8.36909 [-(19+178*x-49*x^4-44*x^3+x^6-2*x^5+149*x^2)/(x^3-x^2-19*x-11)/(x^4-8*x^2+1) lgdogf] A103201 9.56055 [-(x^3-x^2-19*x-11)/(x^4-8*x^2+1) ogf] A103204 10.0555 [2*f(x)*x^2-3*f(x)*x+x^2+f(x)+2*x-2 ogf] A103204 13.4706 [-(x^2+2*x-2)/(2*x-1)/(x-1) ogf] A103204 17.0751 [-(4-10*x+7*x^2)/(x-1)/(2*x-1)/(x^2+2*x-2) lgdogf] A103204 6.99943 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=2,a(1)=4,a(2)=7} ogf] A103205 9.33640 [-x*(9*x^9-11*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A103210 12.1022 [-2*f(x)^2*x-f(x)*x+f(x)-1 ogf] A103210 29.4444 [-x*(-1+2*x)/(1+x) revogf] A103210 3.40014 [{(-n^2-n)*a(n)+(9*n^2+21*n+12)*a(n+1)+(9*n^2+51*n+72)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=15} ogf] A103210 9.81480 [-1/2*(-x-1+(1-10*x+x^2)^(1/2))/(1-10*x+x^2)^(1/2)/x lgdogf] A103211 12.4877 [-3*f(x)^2*x-f(x)*x+f(x)-1 ogf] A103211 29.7538 [-x*(-1+3*x)/(1+x) revogf] A103211 3.45903 [{(n^2+n)*a(n)+(-13*n^2-31*n-18)*a(n+1)+(-13*n^2-73*n-102)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=4,a(2)=28} ogf] A103211 9.91794 [-1/2*(-x-1+(1-14*x+x^2)^(1/2))/(1-14*x+x^2)^(1/2)/x lgdogf] A103214 17.9497 [(23*x+1)/(x-1)^2 ogf] A103214 22.4988 [-1/2*(-1-2*x+(1+96*x)^(1/2))/(-23+x) revogf] A103214 32.3983 [-(25+23*x)/(23*x+1)/(x-1) lgdogf] A103214 9.27734 [(48*f(x)+577)*(f(x)*x^2-2*f(x)*x+f(x)-23*x-1) ogf] A103214 9.94800 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=25} ogf] A103215 8.99410 [(7*x^6+4*x^5+3*x^4+5*x^3+3*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A103220 20.4062 [-(13+38*x+9*x^2)/(x-1)/(3*x^2+8*x+1) lgdogf] A103220 3.76451 [{(n+3)*a(n+4)+(1+7*n)*a(n+3)+(-43-5*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=13,a(3)=58} ogf] A103220 8.98039 [-x*(3*x^2+8*x+1)/(x-1)^5 ogf] A103221 23.0419 [1/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A103221 24.5075 [-x*(2+5*x^2+5*x)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A103221 37.6923 [[x^2+x] ogf_with_Euler_transform] A103258 10.3085 [-(-2*x^6-x^5-2*x^4+x^3-2*x^2-x-2)/(-x^8+1) ogf_with_Euler_transform] A103258 99.9999 Evaluated at exp(-Pi) 1/2*2^(15/16)/(2-2^(1/2))^(1/4) A103260 5.02348 [(x+1)*(x^23-x^22+x^21+x^20-x^19+x^18-x^17+2*x^16+x^7-x^6+x^5+1)/(x-1)/(x^23+x^22+x^21-x^20-x^19-x^18-x^17-2*x^16+x^7+x^6+x^5-1) ogf] A103261 11.8886 [-(-20*x^2+10*x-20)/(-x^4+1) ogf_with_Euler_transform] A103262 17.9796 [-(-2*x^4-2)/(-x^6+1) ogf_with_Euler_transform] A103290 10.0861 [-2*x^2*(x^2+1)/(x-1)^5 ogf] A103290 27.2872 [[-x^3+x+5] ogf_with_Euler_transform] A103290 28.1936 [-(5+2*x+3*x^2)/(x-1)/(1+x^2) lgdogf] A103290 4.40220 [{(-14*n^2-54*n-52)*a(n+1)+(13*n^2-36*n-145)*a(n+2)+(n^2+30*n+29)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A103311 11.8006 [x*(x-1)^2/(x^4-2*x^3+4*x^2-3*x+1) ogf] A103311 17.0238 [-(1-5*x+6*x^2-6*x^3+2*x^4)/(x-1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A103311 6.28791 [-(f(x)+1)*(f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2-x^3-3*f(x)*x+2*x^2+f(x)-x) ogf] A103312 14.7809 [x*(x-1)^2/(3*x^2-3*x+1) ogf] A103312 34.1294 [(3*x-1)/(x-1)/(3*x^2-3*x+1) lgdogf] A103312 7.45583 [{-a(n+4)+3*a(n+3)-3*a(n+2),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A103312 8.34167 [-(f(x)+1)*(3*f(x)*x^2-x^3-3*f(x)*x+2*x^2+f(x)-x) ogf] A103321 12.3298 [1/(x^3+x-1)/(x^3+x^2+x-1) ogf] A103321 12.9965 [-(-2+5*x^4+8*x^3-3*x^2+6*x^5)/(x^3+x-1)/(x^3+x^2+x-1) lgdogf] A103322 11.0673 [1/(x^3+x^2-1)/(x^3+x^2+x-1) ogf] A103322 11.7545 [-(-1-4*x+6*x^5+10*x^4+8*x^3-3*x^2)/(x^3+x^2-1)/(x^3+x^2+x-1) lgdogf] A103325 4.01758 [(x^5-235*x^4-960*x^3+1045*x^2+255*x-32)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A103326 7.08317 [-5*(x^4-4*x^3-9*x^2+6*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A103333 14.6137 [-8*f(x)*x+f(x)+5*x-1 ogf] A103333 17.7734 [(5*x-1)/(8*x-1) ogf] A103333 17.9288 [1/10+4/5*x-1/10*(1-4*x+64*x^2)^(1/2) revogf] A103333 35.8577 [3/(-1+8*x)/(5*x-1) lgdogf] A103333 9.13356 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=3} ogf] A103334 10.7646 [(10*x^2-9*x+1)/(8*x-1)/(2*x-1) ogf] A103334 12.0538 [(1-12*x+44*x^2)/(-1+2*x)/(-1+8*x)/(-9*x+10*x^2+1) lgdogf] A103334 5.79630 [{a(n+3)-10*a(n+2)+16*a(n+1),a(0)=1,a(1)=1,a(2)=4} ogf] A103334 8.14615 [-16*f(x)*x^2+10*f(x)*x+10*x^2-f(x)-9*x+1 ogf] A103368 10.0573 [-f(x)*x^4-f(x)*x^2-f(x)+x+1 ogf] A103368 12.9308 [(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A103368 16.9414 [-(-1+2*x+3*x^4+4*x^3+x^2)/(x+1)/(1+x^2+x)/(x^2-x+1) lgdogf] A103368 21.7894 [[x^5-2*x+1] ogf_with_Euler_transform] A103370 3.24416 [{(9*n^2+45*n+54)*a(n+1)+(-10*n^2-80*n-156)*a(n+2)+(n^2+11*n+30)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A103372 10.9797 [-f(x)*x^5-f(x)*x^4-x^3-x^2+f(x)-x-1 ogf] A103372 12.1564 [-(1+2*x+2*x^7+4*x^6+6*x^5+8*x^4+4*x^3+3*x^2)/(x+1)/(1+x^2)/(x^5+x^4-1) lgdogf] A103372 13.3445 [-(x^2+1)*(x+1)/(x^5+x^4-1) ogf] A103373 11.9513 [-(x^4+x^3+x^2+x+1)/(x^6+x^5-1) ogf] A103373 9.83621 [-(1+2*x+4*x^8+6*x^7+2*x^9+8*x^6+10*x^5+5*x^4+4*x^3+3*x^2)/(x^4+x^3+x^2+x+1)/(x^6+x^5-1) lgdogf] A103374 11.1720 [-(x+1)*(x^2+x+1)*(x^2-x+1)/(x^7+x^6-1) ogf] A103374 8.07215 [-(2*x+5*x^4+4*x^3+4*x^10+6*x^9+8*x^8+10*x^7+12*x^6+6*x^5+1+3*x^2+2*x^11)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^7+x^6-1) lgdogf] A103375 6.97953 [-(2*x+12*x^8+14*x^7+2*x^13+4*x^12+6*x^11+8*x^10+10*x^9+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^8+x^7-1) lgdogf] A103375 9.99491 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x^8+x^7-1) ogf] A103376 9.50974 [-(x^4+1)*(x^2+1)*(x+1)/(x^9+x^8-1) ogf] A103377 10.0242 [-(x^29+x^20+x^19-x^9-1)/(-x^20-x^19-x^18+1) ogf_with_Euler_transform] A103377 8.63122 [-(x^2+x+1)*(x^6+x^3+1)/(x^10+x^9-1) ogf] A103378 7.53900 [-(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^11+x^10-1) ogf] A103378 9.39585 [-(x^32+x^22+x^21-x^10-1)/(-x^22-x^21-x^20+1) ogf_with_Euler_transform] A103379 10.1825 [-(x^35+x^24+x^23-x^11-1)/(-x^24-x^23-x^22+1) ogf_with_Euler_transform] A103379 7.57527 [-(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^12+x^11-1) ogf] A103380 10.1891 [-(x^38+x^26+x^25-x^12-1)/(-x^26-x^25-x^24+1) ogf_with_Euler_transform] A103380 7.06668 [-(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x^13+x^12-1) ogf] A103424 13.3287 [4*f(x)*x^2-4*x^2-f(x)+2*x+1 ogf] A103424 14.4167 [(4*x^2-2*x-1)/(2*x-1)/(2*x+1) ogf] A103424 18.6883 [2*(1+4*x^2)/(2*x+1)/(2*x-1)/(4*x^2-2*x-1) lgdogf] A103424 8.51108 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=2,a(2)=0} ogf] A103425 11.7956 [-(5*x^2-1)/(x-1)/(3*x-1)/(x+1) ogf] A103425 12.9249 [-(3-8*x+15*x^4+6*x^2)/(x-1)/(3*x-1)/(x+1)/(5*x^2-1) lgdogf] A103425 6.00313 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A103425 6.22547 [(8*f(x)-13)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+5*x^2+f(x)-1) ogf] A103433 4.11777 [(1795*f(x)-173)*(f(x)*x^4-9*f(x)*x^3+16*f(x)*x^2-x^3-9*f(x)*x+4*x^2+f(x)-x) ogf] A103433 7.73473 [x*(x^2-4*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A103433 9.54638 [-(5-25*x+57*x^2-19*x^3+2*x^4)/(x-1)/(x^2-7*x+1)/(x^2-4*x+1) lgdogf] A103434 13.4928 [-(x-5)*(3*x^2+4*x-2)/(x-1)/(x+1)/(x^2-7*x+1) lgdogf] A103434 4.3368 [-(444744*f(x)+22033)*(f(x)*x^4-9*f(x)*x^3+16*f(x)*x^2-9*f(x)*x-x^2+f(x)-x) ogf] A103434 9.13356 [x*(x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A103435 10.934 [4*f(x)*x^2+2*f(x)*x-f(x)+2*x ogf] A103435 17.4352 [-2*x/(4*x^2+2*x-1) ogf] A103435 19.8540 [1/4*(-1-x+(1+2*x+5*x^2)^(1/2))/x revogf] A103435 26.4721 [-2*(1+4*x)/(4*x^2-1+2*x) lgdogf] A103435 7.96425 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=0,a(1)=2} ogf] A103453 12.1103 [(3*x^2-2*x+1)/(3*x-1)/(x-1) ogf] A103453 15.3369 [-2*(-1+3*x^2)/(x-1)/(3*x-1)/(3*x^2-2*x+1) lgdogf] A103453 6.29261 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A103453 9.04007 [-3*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-2*x+1 ogf] A103454 12.4124 [(4*x^2-2*x+1)/(4*x-1)/(x-1) ogf] A103454 14.0249 [-3*(2*x-1)*(2*x+1)/(x-1)/(4*x-1)/(4*x^2-2*x+1) lgdogf] A103454 6.38695 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=15} ogf] A103454 9.26559 [-4*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-2*x+1 ogf] A103455 11.4893 [(5*x^2-2*x+1)/(5*x-1)/(x-1) ogf] A103455 14.5505 [-4*(-1+5*x^2)/(x-1)/(5*x-1)/(5*x^2-2*x+1) lgdogf] A103455 5.91199 [{-a(n+3)+6*a(n+2)-5*a(n+1),a(0)=1,a(1)=4,a(2)=24} ogf] A103455 8.57655 [-5*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-2*x+1 ogf] A103456 10.2004 [(10*x^2-2*x+1)/(10*x-1)/(x-1) ogf] A103456 12.7146 [-9*(-1+10*x^2)/(x-1)/(10*x-1)/(10*x^2-2*x+1) lgdogf] A103456 5.44020 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=1,a(1)=9,a(2)=99} ogf] A103456 7.7192 [-10*f(x)*x^2+11*f(x)*x+10*x^2-f(x)-2*x+1 ogf] A103457 13.1654 [-(3*x^2-1)/(3*x-1)/(x-1) ogf] A103457 15.4164 [-4*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(-1+3*x^2) lgdogf] A103457 6.26315 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=1,a(1)=4,a(2)=10} ogf] A103457 6.79056 [-(13*f(x)+19)*(3*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-1) ogf] A103458 11.8607 [-(7*x^2-1)/(7*x-1)/(x-1) ogf] A103458 13.8827 [-4*(2-7*x+14*x^2)/(x-1)/(7*x-1)/(7*x^2-1) lgdogf] A103458 5.64245 [{a(n+3)-8*a(n+2)+7*a(n+1),a(0)=1,a(1)=8,a(2)=50} ogf] A103458 6.24916 [-(9*f(x)+7)*(7*f(x)*x^2-8*f(x)*x+7*x^2+f(x)-1) ogf] A103459 12.5332 [-(8*x^2-1)/(8*x-1)/(x-1) ogf] A103459 15.0535 [-(9-32*x+72*x^2)/(x-1)/(8*x-1)/(8*x^2-1) lgdogf] A103459 5.96238 [{a(n+3)-9*a(n+2)+8*a(n+1),a(0)=1,a(1)=9,a(2)=65} ogf] A103459 6.46447 [-(49*f(x)+32)*(8*f(x)*x^2-9*f(x)*x+8*x^2+f(x)-1) ogf] A103460 11.4773 [-2*(5-18*x+45*x^2)/(x-1)/(-1+3*x)/(3*x+1)/(9*x-1) lgdogf] A103460 11.4833 [-(3*x-1)*(3*x+1)/(9*x-1)/(x-1) ogf] A103460 5.46825 [{a(n+3)-10*a(n+2)+9*a(n+1),a(0)=1,a(1)=10,a(2)=82} ogf] A103460 6.04385 [-(16*f(x)+9)*(9*f(x)*x^2-10*f(x)*x+9*x^2+f(x)-1) ogf] A103461 13.0990 [-(10*x^2+1)/(10*x+1)/(x-1) ogf] A103461 15.9540 [-(-9+40*x+90*x^2)/(x-1)/(10*x+1)/(10*x^2+1) lgdogf] A103461 6.36236 [{a(n+3)+9*a(n+2)-10*a(n+1),a(0)=1,a(1)=-9,a(2)=101} ogf] A103461 7.1069 [(121*f(x)-40)*(10*f(x)*x^2-9*f(x)*x+10*x^2-f(x)+1) ogf] A103469 10.8662 [-(x^6-x^5+x^4-x^3-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A103469 8.01943 [-(-2-2*x-3*x^8+x^11-x^10+3*x^9-6*x^6-3*x^5-7*x^4+x^3-5*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x^5+x^4-x^3-x-1) lgdogf] A103485 11.6652 [-(7*x^3+5*x^2-4*x-7)/(x-1)/(x^3+x^2-1) ogf] A103485 6.28826 [-(104*f(x)+2715)*(f(x)*x^4-f(x)*x^2+7*x^3-f(x)*x+5*x^2+f(x)-4*x-7) ogf] A103485 9.48434 [-(11+4*x-12*x^2-14*x^3-5*x^4+10*x^5+7*x^6)/(x-1)/(x^3+x^2-1)/(7*x^3+5*x^2-4*x-7) lgdogf] A103486 11.8306 [-(-11-15*x+3*x^5-11*x^3-x^4-25*x^2)/(x-1)/(3*x^3-2*x^2-4*x-7)/(x^2+x+1) lgdogf] A103486 12.4099 [-(3*x^3-2*x^2-4*x-7)/(x^2+x+1)/(x-1)^2 ogf] A103486 4.94961 [{(-10*n-51)*a(n+1)-10*a(n+2)-10*a(n+3)+(10*n+41)*a(n+4),a(0)=7,a(1)=11,a(2)=13,a(3)=17} ogf] A103486 6.85026 [(1140*f(x)+3169)*(f(x)*x^4-f(x)*x^3+3*x^3-f(x)*x-2*x^2+f(x)-4*x-7) ogf] A103505 10.7232 [(x^4-2*x^3-2*x^2+2*x-1)/(x-1)^3 ogf] A103505 16.5297 [(1-4*x^3+x^4+8*x^2)/(x-1)/(x^4-2*x^3-2*x^2+2*x-1) lgdogf] A103505 6.35141 [(11*f(x)-180)*(f(x)*x^3-x^4-3*f(x)*x^2+2*x^3+3*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A103517 15.7908 [-(x^2-2*x-1)/(x-1)^2 ogf] A103517 43.1758 [4/(x-1)/(x^2-2*x-1) lgdogf] A103517 8.20502 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=6} ogf] A103517 8.62797 [-(f(x)+3)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A103519 12.2950 [(10+2*x+x^4+2*x^3-9*x^2)/(x-1)/(x^3+2*x^2-4*x-2) lgdegf] A103519 3.56297 [{(-n^2-8*n-15)*a(n+1)+(n^2+8*n+17)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=21} ogf] A103532 10.3922 [(7*x^2+16*x+1)/(x-1)^4 ogf] A103532 18.2851 [-2*(10+31*x+7*x^2)/(x-1)/(7*x^2+16*x+1) lgdogf] A103532 5.15925 [(791040*f(x)+8844197)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-16*x-1) ogf] A103535 4.95707 [-(3*x^7-17*x^6+12*x^5+60*x^4-96*x^3+21*x^2+25*x-9)/(x^2-4*x+1)/(x^4-4*x^2+1)/(x-1)^2 ogf] A103604 19.2313 [-11*(7+14*x+5*x^2)/(x-1)/(5*x^2+12*x+5) lgdogf] A103604 3.54759 [{(5*n+20)*a(n+4)+(-56+7*n)*a(n+3)+(-168-7*n)*a(n+2)+(-60-5*n)*a(n+1),a(0)=210,a(1)=3234,a(2)=25872,a(3)=144144} ogf] A103609 11.5194 [f(x)*x^4+f(x)*x^2+x^3+x^2-f(x) ogf] A103609 14.3488 [-x^2*(x+1)/(x^4+x^2-1) ogf] A103609 19.2843 [-(1+2*x+3*x^4+4*x^3+x^2)/(x+1)/(x^4+x^2-1) lgdogf] A103609 7.86423 [{-a(n+4)+a(n+2)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=1} ogf] A103610 7.98711 [-x^2*(x^13+x^10+x^7+x^6+x^5+x^4+x^3+x+1)/(x^16+x^8-1) ogf] A103620 10.3733 [-(-6720+140*x^9+823*x^8-140*x^7)/(x-1)/(x+1)/(823*x^8-6720) lgdegf] A103621 7.61553 [(3*x^8+34*x^7+2*x^6+2*x^5+10*x^4+2*x^3+2*x^2+2*x+7)/(x^4+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A103623 3.61907 [(341*x^8+11352*x^7+77440*x^6+153824*x^5+99330*x^4+19624*x^3+968*x^2+1)/(x-1)^10 ogf] A103626 5.60271 [-(x^14+x^13+2*x^12-x^11-x^10+x^8-x^7-x^6-x^5-x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+1)/(2*x^12+x^8-1) ogf] A103627 14.0160 [x*(x^4-x^3+x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A103627 14.5174 [-x*(2+2*x^5-3*x^4+4*x^3+4*x^2+3*x)/(x-1)/(x^2+x+1)/(x^4-x^3+x^2+1) lgdogf] A103628 15.0645 [-(-x^3+3*x^2-x-2)/(-x+1) ogf_with_Euler_transform] A103632 15.2553 [-(x^2-x+1)/(x^4+x-1) ogf] A103632 17.3257 [-x*(2+2*x^4-3*x^3+4*x^2-x)/(x^2-x+1)/(x^4+x-1) lgdogf] A103632 8.33537 [-(f(x)-1)*(f(x)*x^4+f(x)*x+x^2-f(x)-x+1) ogf] A103639 4.24920 [{(16*n^2+64*n+63)*a(n+1)-a(n+2),a(0)=1,a(1)=15} ogf] A103644 4.55614 [{-a(n+3)-2*a(n+2)+6*a(n+1)+27*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A103644 4.90328 [(17*f(x)-9)*(27*f(x)*x^3+6*f(x)*x^2-2*f(x)*x-f(x)+3*x+1) ogf] A103644 9.12967 [-(1+12*x+162*x^3+99*x^2)/(-1+3*x)/(1+3*x)/(9*x^2+5*x+1) lgdogf] A103644 9.53415 [-(3*x+1)/(3*x-1)/(9*x^2+5*x+1) ogf] A103645 5.0879 [-(187*f(x)+9441)*(27*f(x)*x^3+6*f(x)*x^2-2*f(x)*x+108*x^2-f(x)+27*x+1) ogf] A103645 5.48609 [{a(n+3)+2*a(n+2)-6*a(n+1)-27*a(n),a(0)=1,a(1)=25,a(2)=64} ogf] A103645 8.13191 [-(25+228*x+459*x^2+1458*x^3+2916*x^4)/(3*x-1)/(9*x^2+5*x+1)/(108*x^2+27*x+1) lgdogf] A103645 9.70615 [-(108*x^2+27*x+1)/(3*x-1)/(9*x^2+5*x+1) ogf] A103646 12.3687 [-(1+12*x+162*x^3+99*x^2)/(3*x-1)/(3*x+1)/(9*x^2+5*x+1) lgdogf] A103646 12.3808 [-9*(3*x+1)/(3*x-1)/(9*x^2+5*x+1) ogf] A103646 5.97318 [{-a(n+3)-2*a(n+2)+6*a(n+1)+27*a(n),a(0)=9,a(1)=9,a(2)=36} ogf] A103646 6.36395 [(17*f(x)-81)*(27*f(x)*x^3+6*f(x)*x^2-2*f(x)*x-f(x)+27*x+9) ogf] A103648 7.19005 [-x*(2*x^11-2*x^9+3*x^7-2*x^6-x^5+x^3-x^2-1)/(x-1)/(2*x^12+x^8-1) ogf] A103650 16.7523 [-(-2*x^2+2*x+1)/(x-1) ogf_with_Euler_transform] A103681 15.7562 [-x*(2*x^7-2*x^6-1)/(x-1)^2 ogf] A103681 19.2450 [2*(1+5*x^7-11*x^6+6*x^5)/(x-1)/(2*x^7-2*x^6-1) lgdogf] A103685 14.6316 [x^2/(x-1)/(2*x^3-4*x^2+4*x-1) ogf] A103685 15.6872 [-(-5+16*x+8*x^3-18*x^2)/(x-1)/(2*x^3-4*x^2+4*x-1) lgdogf] A103685 7.83306 [-2*f(x)*x^4+6*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+x^2-f(x) ogf] A103715 5.20252 [-x^2*(x^2+1)*(x^4+2*x^3+14*x^2+2*x+1)/(x-1)/(x^8-82*x^4+1) ogf] A103749 13.9015 [-x*(2*x+1)/(2*x^3-x^2-x-1) ogf] A103749 19.6228 [-(1-2*x+8*x^3+4*x^2)/(2*x+1)/(2*x^3-x^2-x-1) lgdogf] A103749 7.13861 [{a(n+3)+a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A103749 9.32219 [2*f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2-f(x)+x ogf] A103750 15.0990 [-(2*x^3+1)/(2*x^4-x^3+x-1) ogf] A103750 17.6041 [-(1+4*x^6+4*x^3+3*x^2)/(2*x^3+1)/(2*x^4-x^3+x-1) lgdogf] A103750 6.94068 [{-a(n+4)+a(n+3)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A103750 7.61633 [-(17*f(x)-12)*(2*f(x)*x^4-f(x)*x^3+2*x^3+f(x)*x-f(x)+1) ogf] A103768 5.93108 [-2*x^2*(x^3-4*x^2+7*x-3)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A103768 7.63999 [-(-23+140*x-103*x^4+274*x^3-300*x^2+18*x^5)/(x-1)/(3*x-1)/(2*x-1)/(x^3-4*x^2+7*x-3) lgdogf] A103770 17.8154 [-(1+6*x+27*x^2)/(3*x-1)/(3*x^2+2*x+1) lgdogf] A103770 18.1716 [-1/(3*x-1)/(3*x^2+2*x+1) ogf] A103770 6.00313 [{a(n+3)-a(n+2)-3*a(n+1)-9*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A103770 6.79142 [(f(x)-1)*(9*f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)+1) ogf] A103771 16.3742 [-1/(4*x^3+4*x^2+4*x-1) ogf] A103771 16.4855 [-4*(1+2*x+3*x^2)/(4*x^2-1+4*x+4*x^3) lgdogf] A103771 5.36145 [{a(n+3)-4*a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A103771 6.11964 [(f(x)-1)*(4*f(x)*x^3+4*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A103772 10.7028 [-(x+1)^2/(x-1)/(x^2-14*x+1) ogf] A103772 11.4588 [-(17-45*x+x^3+3*x^2)/(x-1)/(1+x)/(x^2-14*x+1) lgdogf] A103772 5.61897 [(11699*f(x)-1020)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)+2*x+1) ogf] A103772 5.76305 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=241} ogf] A103775 23.1590 [(1+4*x+4*x^3+18*x^5)/(2*x^2+1+x+3*x^6+x^4) lgdogf] A103779 14.5425 [x-f(x)-f(x)^2-f(x)^3 ogf] A103779 4.52237 [{(-27*n^2+3)*a(n)+(-14*n^2-21*n-7)*a(n+1)+(-3*n^2-9*n-6)*a(n+2),a(0)=0,a(1)=1,a(2)=-1} ogf] A103779 71.5203 [x*(1+x+x^2) revogf] A103780 5.86279 [-(3*x^2+2*x+1)*(3*x^6+6*x^5+9*x^4+8*x^3+5*x^2+2*x+1)/(2*x^2-1+x+3*x^8+6*x^4+x^9+4*x^3+8*x^6+8*x^5+6*x^7) lgdogf] A103780 6.99903 [-1/(x^9+3*x^8+6*x^7+8*x^6+8*x^5+6*x^4+4*x^3+2*x^2+x-1) ogf] A103817 9.79966 [-(2*x^26-2*x^24+4*x^23-4*x^22+4*x^21-2*x^11+2*x^10+x+1)/(x-1) ogf] A103819 4.51094 [-(3*f(x)+1)*(2*f(x)*x^5+2*f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-x) ogf] A103819 9.08367 [x*(x+1)/(x-1)/(x^2+x+1)/(2*x^2+2*x-1) ogf] A103819 9.33016 [-(-3-4*x+16*x^4+6*x^3+8*x^5-5*x^2)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+2*x-1) lgdogf] A103820 17.3027 [-(3*x-2)*(2+3*x)/(x-1)/(3*x^2+3*x-1) lgdogf] A103820 19.2609 [1/(x-1)/(3*x^2+3*x-1) ogf] A103820 6.69063 [{-a(n+3)+4*a(n+2)-3*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A103820 7.47777 [-(f(x)-1)*(3*f(x)*x^3-4*f(x)*x+f(x)-1) ogf] A103821 16.3554 [-(4*x+3)*(-1+2*x)/(x-1)/(4*x^2+4*x-1) lgdogf] A103821 3.35702 [{(-n-4)*a(n+4)+(18+5*n)*a(n+3)-2*a(n+2)+(-12-4*n)*a(n+1),a(0)=1,a(1)=3,a(2)=11,a(3)=43} ogf] A103821 6.23932 [-4*f(x)^2*x^4+4*f(x)^2*x^3+5*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A103831 10.1750 [x*(x^2+3)*(x^2-2*x-1)/(x-1)^3/(x+1)^3 ogf] A103831 12.9196 [-2*(-3-7*x+x^5-3*x^4+6*x^3-18*x^2)/(x-1)/(x+1)/(x^2+3)/(x^2-2*x-1) lgdogf] A103832 10.4321 [(3*x^2+1)*(x^2-2*x-1)/(x-1)^3/(x+1)^3 ogf] A103832 11.8404 [-2*(-1-5*x+3*x^5-9*x^4+2*x^3-14*x^2)/(x-1)/(x+1)/(3*x^2+1)/(x^2-2*x-1) lgdogf] A103847 34.3501 [91*(x^100+x^99-91)/(x^99+91*x-91) ogf] A103847 45.7359 [-(x^100-91*x+91)/(91*x-91) ogf_with_Euler_transform] A103872 4.22675 [{(3*n+9)*a(n+1)+(2*n+6)*a(n+2)+(-n-5)*a(n+3),a(0)=0,a(1)=2,a(2)=2} ogf] A103872 6.62933 [-f(x)^2*x^3-f(x)^2*x^2-4*f(x)*x^2-2*f(x)*x+2*f(x)-4*x ogf] A103878 7.44925 [-x/(12*x-1)/(15*x-1)/(20*x-1)/(30*x-1)/(60*x-1) ogf] A103885 4.08836 [-4*x^2*f(x)^3-44*f(x)^3*x+8*f(x)^2*x^2+4*f(x)^3+88*f(x)^2*x-5*f(x)*x^2-8*f(x)^2-60*f(x)*x+x^2+5*f(x)+14*x-1 ogf] A103889 14.7230 [(x^2-x+2)/(x+1)/(x-1)^2 ogf] A103889 23.1841 [-(1+7*x+x^3-x^2)/(x-1)/(x+1)/(x^2-x+2) lgdogf] A103889 7.80956 [(172*f(x)+345)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)+x-2) ogf] A103889 8.01876 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=1,a(2)=4} ogf] A103897 18.8965 [-1/16*(-3-6*x+(9+36*x+4*x^2)^(1/2))/x revogf] A103897 21.5722 [3/(4*x-1)/(2*x-1) ogf] A103897 25.8952 [-2*(-3+8*x)/(4*x-1)/(2*x-1) lgdogf] A103897 8.47481 [(31*f(x)+150)*(8*f(x)*x^2-6*f(x)*x+f(x)-3) ogf] A103897 8.57690 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=3,a(1)=18} ogf] A103924 19.7475 [-(-x^5+2)/(x-1) ogf_with_Euler_transform] A103925 19.9262 [-(-x^6+2)/(x-1) ogf_with_Euler_transform] A103926 18.3188 [-(-x^7+2)/(x-1) ogf_with_Euler_transform] A103927 20.1049 [-(-x^8+2)/(x-1) ogf_with_Euler_transform] A103928 18.4069 [-(-x^9+2)/(x-1) ogf_with_Euler_transform] A103929 17.9686 [-(-x^10+2)/(x-1) ogf_with_Euler_transform] A103938 9.30759 [-x^2*f(x)^3-2*f(x)^2*x+28*f(x)*x-f(x)-64*x+3 ogf] A103938 9.56084 [3/128+7/32*x-1/128*(-(16*x-9)*(-1+4*x)^2)^(1/2) revogf] A103944 3.09852 [{(-16*n-40)*a(n+1)+(-6*n+24)*a(n+2)+(9*n+33)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=10,a(2)=93,a(3)=836} ogf] A103947 11.8011 [{a(n+3)-a(n+1),a(0)=1,a(1)=4,a(2)=3} ogf] A103947 13.2172 [(3*f(x)+5)*(f(x)*x^2+2*x^2-f(x)+4*x+1) ogf] A103947 20.2305 [-(2*x^2+4*x+1)/(x-1)/(x+1) ogf] A103947 23.1590 [-2*(2+3*x+2*x^2)/(x-1)/(x+1)/(2*x^2+4*x+1) lgdogf] A103948 10.2350 [(6*x^5-3*x^4-30*x^3-39*x^2-28*x-1)/(x-1)/(x+1)/(x^2+x+1) ogf] A103948 7.82025 [3*(9+26*x+9*x^6+18*x^5+34*x^4+44*x^3+44*x^2+4*x^7+2*x^8)/(x-1)/(x+1)/(x^2+x+1)/(6*x^5-3*x^4-30*x^3-39*x^2-28*x-1) lgdogf] A103949 6.31952 [(24*x^8+132*x^7+92*x^6-80*x^5-288*x^4-472*x^3-357*x^2-257*x-1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A103969 11.0120 [2*(-4*x^3-5*x^4-3*x^5-1-x^6+x^7-2*x+3*x^8-3*x^2)/(x^4+x^3+x^2+x+1)/(2*x^5-1) lgdogf] A103969 8.79468 [-(x^4+x^3+x^2+x+1)^2/(2*x^5-1) ogf] A103970 14.0749 [-3*x-1+f(x)-f(x)^2*x ogf] A103971 13.3258 [4*x+1-f(x)+f(x)^2*x ogf] A103971 19.5766 [-1/8+1/8*(1-16*x^2+16*x)^(1/2) revogf] A103972 18.4549 [5*x+1-f(x)+f(x)^2*x ogf] A103972 25.5499 [-1/10+1/10*(1-20*x^2+20*x)^(1/2) revogf] A103972 3.91732 [{(200*n^2+200*n)*a(n)+(60*n^2+180*n+120)*a(n+1)+(-6*n^2-18*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=6,a(2)=12} ogf] A103973 6.90639 [-8*f(x)^2*x^3+f(x)^2*x+8*f(x)*x^2-16*x^3-8*x^2-f(x)+x+1 ogf] A103974 4.22581 [(668*f(x)-143)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+5*x^2-f(x)-10*x+1) ogf] A103974 4.33604 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=65} ogf] A103974 7.73511 [-(5-20*x+5*x^4-20*x^3+78*x^2)/(x-1)/(x^2-14*x+1)/(5*x^2-10*x+1) lgdogf] A103974 7.79133 [-(5*x^2-10*x+1)/(x-1)/(x^2-14*x+1) ogf] A103975 14.9117 [-16/(x-1)/(x^2-14*x+1) ogf] A103975 18.9574 [-3*(5-10*x+x^2)/(x-1)/(x^2-14*x+1) lgdogf] A103975 5.46762 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=16,a(1)=240,a(2)=3360} ogf] A103975 6.07513 [(37843*f(x)-688)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+16) ogf] A103978 6.68957 [-12*f(x)^2*x^3+f(x)^2*x+12*f(x)*x^2-36*x^3-12*x^2-f(x)+2*x+1 ogf] A103998 3.46296 [-(35525*f(x)+181752)*(f(x)*x^4-11*f(x)*x^3+3*x^4+25*f(x)*x^2-22*x^3-11*f(x)*x+25*x^2+f(x)-1) ogf] A103998 5.33498 [-(11-100*x+11*x^6-100*x^5-500*x^3+374*x^4+374*x^2)/(x^4-11*x^3+25*x^2-11*x+1)/(3*x^4-22*x^3+25*x^2-1) lgdogf] A103998 6.40244 [-(3*x^4-22*x^3+25*x^2-1)/(x^4-11*x^3+25*x^2-11*x+1) ogf] A104004 13.0117 [-(x-1)*(x+1)/(2*x-1)/(x^2+x-1) ogf] A104004 6.56343 [-(37*f(x)-11)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)-1) ogf] A104004 6.62204 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A104004 9.39099 [-(3-4*x+2*x^4-3*x^2)/(-1+x)/(2*x-1)/(x+1)/(x^2+x-1) lgdogf] A104005 11.6196 [(x-1)^2/(2*x-1)/(x^2-x-1) ogf] A104005 15.6727 [-(-1+7*x+2*x^3-6*x^2)/(x-1)/(2*x-1)/(x^2-x-1) lgdogf] A104005 6.00677 [-(159*f(x)-19)*(2*f(x)*x^3-3*f(x)*x^2-f(x)*x-x^2+f(x)+2*x-1) ogf] A104005 6.32855 [{-a(n+3)+a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=-1,a(2)=3} ogf] A104008 3.60993 [(360310039305462848*f(x)+18283459031025)*(f(x)*x^4-208*f(x)*x^3+2718*f(x)*x^2-208*f(x)*x+f(x)-120*x-120) ogf] A104008 8.12235 [120*(x+1)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A104009 4.18055 [(1048809025*f(x)+22865691)*(f(x)*x^4-208*f(x)*x^3+2718*f(x)*x^2-12*x^3-208*f(x)*x+648*x^2+f(x)-12*x) ogf] A104009 7.96295 [12*x*(x^2-54*x+1)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A104051 4.36822 [(135680*x^8-162816*x^7+27136*x^6+1500*x^5-1800*x^4-1620*x^3+364*x^2-8*x+3)/(5*x-1)/(128*x^3-1) ogf] A104095 4.56278 [(1460082*f(x)-2626049)*(f(x)*x^4+10*f(x)*x^3+19*f(x)*x^2-18*x^3+f(x)*x-f(x)+x) ogf] A104095 8.61992 [-(-1-2*x+36*x^5+180*x^4-4*x^3-48*x^2)/(-1+18*x^2)/(x^4+10*x^3+19*x^2+x-1) lgdogf] A104095 9.39394 [x*(18*x^2-1)/(x^4+10*x^3+19*x^2+x-1) ogf] A104099 10.0816 [x*(17*x^2+38*x+5)/(x-1)^4 ogf] A104099 18.1798 [-2*(29+74*x+17*x^2)/(x-1)/(17*x^2+38*x+5) lgdogf] A104099 3.68840 [{(-15-5*n)*a(n+4)+(-8-33*n)*a(n+3)+(169+21*n)*a(n+2)+(34+17*n)*a(n+1),a(0)=0,a(1)=5,a(2)=58,a(3)=219} ogf] A104099 5.04082 [(10466000*f(x)+151321589)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-17*x^3-4*f(x)*x-38*x^2+f(x)-5*x) ogf] A104100 3.50029 [-(17092500868379*f(x)-22019348495041)*(f(x)*x^4+10*f(x)*x^3+19*f(x)*x^2-3*x^3+f(x)*x+37*x^2-f(x)+20*x) ogf] A104100 7.01725 [-(-57-754*x-1306*x^2-820*x^3-81*x^4+6*x^5)/(3*x^2-37*x-20)/(x^4+10*x^3+19*x^2+x-1) lgdogf] A104100 7.59153 [x*(3*x^2-37*x-20)/(x^4+10*x^3+19*x^2+x-1) ogf] A104121 16.5350 [-x^2*(x^7-x^6+1)/(x-1) ogf] A104121 21.2632 [(-1+6*x^7+6*x^5-12*x^6)/(x-1)/(x^7-x^6+1) lgdogf] A104144 8.46534 [-x^8/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A104144 9.11513 [-(1+2*x+9*x^8+7*x^6+6*x^5+5*x^4+4*x^3+8*x^7+3*x^2)/(x^2-1+x+x^8+x^4+x^9+x^3+x^6+x^5+x^7) lgdogf] A104150 10.5637 [{-a(n)*n+a(n+1),a(0)=0,a(1)=1} ogf] A104150 64.9118 [1-exp(-x) revegf] A104155 5.82243 [-(44*x^16-x^15-x^14-x^13-7*x^12-x^11-x^10-x^9-7*x^8-x^7-x^6-x^5-7*x^4-x^3-x^2-x-111)/(x^8+1)/(x^4+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A104161 11.6969 [-2*(-1+x^4-x^3+2*x^2)/(-1+x)/(x^2-x+1)/(x^2+x-1) lgdogf] A104161 4.2996 [(3*f(x)-1)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)+x) ogf] A104161 7.83352 [-x*(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A104175 9.65068 [-(9*x^6+3*x^4+5*x^3+7*x^2+6*x+8)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A104184 22.1286 [x*(x-1)^2/(1-x+x^2-x^3+x^4) revogf] A104187 6.63683 [-(x+1)*(x^4+3*x^2+2*x-3)*(1+x^2)/(-1+x)/(x^2+x+1)/(x^2-x+1)/(x^3+x^2+x-1) lgdogf] A104187 6.81742 [-(x^2+x+1)*(x^2-x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A104188 12.6923 [-4*x*(5*x+3)/(x-1)^3 ogf] A104188 30.7407 [-2*(5*x+7)/(5*x+3)/(x-1) lgdogf] A104188 6.34612 [-(720*f(x)-7469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+12*x) ogf] A104188 6.62693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=56} ogf] A104204 6.29440 [-(x^11+x^10-2*x^9-2*x^8+2*x^7+3*x^6-3*x^4-x^3-2*x^2-x-1)/(x^9-x^6-2*x^3+1) ogf] A104205 3.96631 [-x*(x^18+x^17+2*x^16-4*x^15-3*x^14+8*x^13+x^12-3*x^11-6*x^10+2*x^9+x^8+2*x^7-6*x^5-3*x^4-3*x^3-2*x^2-x-1)/(x^4+1)/(x^12-3*x^4+1) ogf] A104220 9.22674 [-(x^4+x^2-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A104220 9.64095 [-(1+x^8+4*x^6+4*x^5-3*x^4-8*x^3+4*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1)/(x^4+x^2-1) lgdogf] A104221 12.0717 [2*x^3/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A104221 13.8248 [-(-1-2*x+5*x^4+4*x^3-3*x^2)/(x^2+x-1)/(x^2+x+1)/(x-1) lgdogf] A104221 6.29381 [-f(x)*x^5-f(x)*x^4+f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x-f(x) ogf] A104237 7.21524 [-(x^2-x+1)*(2*x^4-x^3+x^2+x+1)/(x-1)/(x^2+1)/(x^3-x^2+x+1)/(x+1)^2 ogf] A104240 6.23882 [-x*(7*x^4+137*x^3+360*x^2+137*x+7)/(x-1)/(x^2-11*x+1)/(x^4+11*x^3+120*x^2+11*x+1) ogf] A104249 14.4066 [-(2*x^2+1)/(x-1)^3 ogf] A104249 26.8536 [-(3+4*x+2*x^2)/(x-1)/(2*x^2+1) lgdogf] A104249 7.33191 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A104249 7.39796 [(513*f(x)-353)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+1) ogf] A104268 4.01932 [16*f(x)^2*x^4-8*f(x)^2*x^3+f(x)^2*x^2+32*f(x)*x^3-44*f(x)*x^2+17*f(x)*x+16*x^2-2*f(x)-11*x+2 ogf] A104270 10.1533 [-(4*x^2-3*x+1)/(2*x-1)^3 ogf] A104270 16.6574 [-(3-4*x+8*x^2)/(-1+2*x)/(4*x^2-3*x+1) lgdogf] A104270 5.52197 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A104270 5.62058 [(6*f(x)-1)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A104344 4.44425 [{(-n^2-8*n-16)*a(n+1)+(n^2+8*n+17)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=41} ogf] A104356 10.5022 [(5+64*x^5+20*x^4-20*x^3-15*x^2)/(2*x-1)/(8*x^5+10*x^4+5*x^3-3*x-1) lgdogf] A104356 11.4034 [(8*x^5+10*x^4+5*x^3-3*x-1)/(2*x-1) ogf] A104385 4.90131 [-x^2*(x^6-3*x^5+3*x^4-2*x^3+3*x^2+1)/(x^2+1)/(x^2+x+1)/(x-1)^5 ogf] A104385 5.59282 [-(4+8*x+17*x^6+8*x^8-10*x^7+17*x^2+20*x^3+23*x^4+8*x^5+3*x^10-8*x^9)/(x-1)/(1+x^2)/(x^2+x+1)/(x^6-3*x^5+3*x^4-2*x^3+3*x^2+1) lgdogf] A104403 6.11324 [-x*(64*x^6-64*x^5+16*x^4+15*x^3+15*x^2+11*x+3)/(16*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A104406 5.94809 [-(x^4+x^3+x^2+x+1)*(x^35-x^33+x^32-x^28+x^27+x^26-x^24+x^22-x^19+x^17-x^14+x^12-x^9+x^8+x^7-x^6+x^5-x^4+x^2-x+1)/(x-1) ogf] A104408 12.7869 [-(-x^5+x^3-x)/(-x^8-x^7+x+1) ogf_with_Euler_transform] A104409 18.5060 [-x^3/(x^8+x^7-x-1) ogf_with_Euler_transform] A104410 10.6655 [-(-x^6+x^4+x^3+x^2-1)/(x^8+x^7-x-1) ogf_with_Euler_transform] A104449 17.9922 [(2*x-3)/(x^2+x-1) ogf] A104449 21.4863 [1/2/(-2+x)*(-3-x+(9-2*x+5*x^2)^(1/2)) revogf] A104449 23.3821 [-(-1-6*x+2*x^2)/(-3+2*x)/(x^2+x-1) lgdogf] A104449 9.20054 [(51*f(x)-152)*(f(x)*x^2+f(x)*x-f(x)-2*x+3) ogf] A104449 9.87374 [{-a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=1} ogf] A104454 11.6509 [45*f(x)^2*x^2-14*f(x)^2*x+f(x)^2-1 ogf] A104454 28.6516 [-(-7+45*x)/(9*x-1)/(5*x-1) lgdogf] A104454 4.88584 [{(-n-3)*a(n+3)+(35+14*n)*a(n+2)+(-90-45*n)*a(n+1),a(0)=1,a(1)=7,a(2)=51} ogf] A104454 7.16289 [x*(x^4+3*x^2+1)*(5*x^4+5*x^2+1)/(1+7*x+2*x^10+10*x^2+56*x^3+50*x^6+35*x^4+147*x^5+25*x^8+35*x^9+140*x^7) revogf] A104455 10.9525 [-3*f(x)^2*x^2+f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A104455 37.7487 [x*(x-1)/(-1-3*x+3*x^2) revogf] A104455 5.44095 [{(-21*n-42)*a(n+1)+(10*n+28)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=4,a(2)=17} ogf] A104459 14.8972 [(9*x^3-2*x-1)/(10*x^2-1) ogf] A104459 15.9060 [(2+20*x-7*x^2+90*x^4)/(10*x^2-1)/(9*x^3-2*x-1) lgdogf] A104459 7.52384 [{-a(n+4)+10*a(n+2),a(0)=1,a(1)=2,a(2)=10,a(3)=11} ogf] A104459 9.31074 [(947*f(x)+288)*(10*f(x)*x^2-9*x^3-f(x)+2*x+1) ogf] A104468 8.84286 [-(-x^5+x)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A104470 3.06230 [{(n+4)*a(n+1)+(n+4)*a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=9} ogf] A104473 21.3321 [-(21-14*x+3*x^2)/(x-1)/(x^2-4*x+5) lgdogf] A104473 3.60738 [{(-5*n-20)*a(n+4)+(48+9*n)*a(n+3)+(-24-5*n)*a(n+2)+(n+4)*a(n+1),a(0)=15,a(1)=63,a(2)=168,a(3)=360} ogf] A104473 9.12979 [-3*(x^2-4*x+5)/(x-1)^5 ogf] A104474 14.0190 [-4*(-56+28*x+x^3-8*x^2)/(x-1)/(x^3-7*x^2+21*x-35) lgdogf] A104474 5.55871 [{(n^2+14*n+45)*a(n+1)+(-n^2-8*n-12)*a(n+2),a(0)=35,a(1)=224} ogf] A104474 6.54578 [(x^3-7*x^2+21*x-35)/(x-1)^7 ogf] A104475 6.36536 [{(-n-2)*a(n+2)+(10+n)*a(n+1),a(0)=70,a(1)=630} ogf] A104475 7.01489 [-70/(x-1)^9 ogf] A104475 84.3033 [-9/(x-1) lgdogf] A104476 13.5530 [-12*(8+28*x+5*x^3+24*x^2)/(x-1)/(x+1)/(5*x^2+16*x+5) lgdogf] A104476 5.55908 [{(-n^2-22*n-117)*a(n+1)+(n^2+8*n+12)*a(n+2),a(0)=330,a(1)=6336} ogf] A104487 11.6237 [(2*x-1)/(3*x-1)/(x^2-3*x+1) ogf] A104487 12.0550 [-(3*x-2)*(4*x^2-7*x+2)/(-1+3*x)/(2*x-1)/(x^2-3*x+1) lgdogf] A104487 5.50598 [{-a(n+3)+6*a(n+2)-10*a(n+1)+3*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A104487 5.75854 [-(61*f(x)+3)*(3*f(x)*x^3-10*f(x)*x^2+6*f(x)*x-f(x)-2*x+1) ogf] A104488 4.78868 [x^7*(x^16-x^8-1)*(x^40+x^32+2*x^24+3*x^16+x^8+1)/(x^56+4*x^32-x^24-x^16-x^8-1) ogf] A104496 6.22276 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)^2*x+2*f(x)*x^2+3*f(x)*x-4*x^2+f(x)-4*x-1 ogf] A104497 13.1842 [-4*f(x)^2*x+f(x)^2+8*x-1 ogf] A104497 34.9288 [-2/(-1+8*x)/(-1+4*x) lgdogf] A104497 5.16822 [{(n+2)*a(n+2)+(-10-12*n)*a(n+1)+32*n*a(n),a(0)=1,a(1)=-2} ogf] A104498 26.6098 [x*(-1+x)/(-1-4*x+4*x^2) revogf] A104498 5.01048 [{32*a(n)*n+(-12*n-10)*a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=1} ogf] A104498 5.82882 [-1/2*(8*(8*x-1)^(1/2)*(-1+4*x)^(1/2)*x-(8*x-1)^(1/2)*(-1+4*x)^(1/2)-1+4*x)/(-1+4*x)^(3/2)/x/(8*x-1)^(1/2) lgdogf] A104498 8.51095 [4*f(x)^2*x-f(x)^2-4*f(x)*x+f(x)-x ogf] A104502 8.94783 [-(x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^9-1) ogf_with_Euler_transform] A104506 13.1300 [(-10*x^2+3*x-1+(1-2*x+5*x^2)^(1/2))/(1-2*x+5*x^2)/x lgdogf] A104506 3.51159 [{(-5*n^2-25*n-30)*a(n+1)+(2*n^2+11*n+15)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=-1,a(2)=-2} ogf] A104506 5.50046 [5*f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x+5*f(x)*x^2-2*f(x)*x+f(x)+x ogf] A104507 6.38283 [5*f(x)^2*x^3-7*f(x)^2*x^2+3*f(x)^2*x+5*f(x)*x^2-f(x)^2-2*f(x)*x+f(x)-x ogf] A104522 3.87875 [{(-3*n-9)*a(n+1)+a(n+2)*n+(3*n+7)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=19} ogf] A104522 5.19918 [(211*f(x)+206)*(3*f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2+x^3+4*f(x)*x-3*x^2-f(x)-x+1) ogf] A104522 9.24666 [-(-3+7*x+3*x^5+2*x^2-10*x^3-15*x^4)/(x-1)/(-1+3*x)/(x+1)/(x^3-3*x^2-x+1) lgdogf] A104522 9.52057 [-(x^3-3*x^2-x+1)/(x+1)/(3*x-1)/(x-1)^2 ogf] A104530 10.9616 [-16*f(x)^2*x+3*f(x)^2+8*f(x)*x-3*f(x)-x ogf] A104530 3.65386 [{(512*n^2+256*n)*a(n)+(-288*n^2-528*n-192)*a(n+1)+(52*n^2+170*n+132)*a(n+2)+(-3*n^2-15*n-18)*a(n+3),a(0)=1,a(1)=3,a(2)=15} ogf] A104531 3.29016 [{(1000*n^2+500*n)*a(n)+(-510*n^2-930*n-300)*a(n+1)+(81*n^2+261*n+198)*a(n+2)+(-4*n^2-20*n-24)*a(n+3),a(0)=1,a(1)=4,a(2)=24} ogf] A104531 9.78274 [-25*f(x)^2*x+4*f(x)^2+10*f(x)*x-4*f(x)-x ogf] A104532 10.4516 [-36*f(x)^2*x+5*f(x)^2+12*f(x)*x-5*f(x)-x ogf] A104532 3.48388 [{(-1728*n^2-864*n)*a(n)+(816*n^2+1488*n+432)*a(n+1)+(-116*n^2-370*n-276)*a(n+2)+(5*n^2+25*n+30)*a(n+3),a(0)=1,a(1)=5,a(2)=35} ogf] A104533 31.1269 [2+(-1+4*x-4*x^2)*f(x) lgdegf] A104533 5.63935 [{(4*n^2+4*n)*a(n)+(-4*n-6)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A104537 12.2023 [4*f(x)*x^2+2*f(x)*x+f(x)-x-1 ogf] A104537 17.0832 [(x+1)/(4*x^2+2*x+1) ogf] A104537 24.4771 [-(1+8*x+4*x^2)/(x+1)/(4*x^2+2*x+1) lgdogf] A104537 9.37495 [{-a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=-1} ogf] A104538 12.8501 [4*f(x)*x^2+2*f(x)*x+f(x)-2*x-1 ogf] A104538 17.9902 [(2*x+1)/(4*x^2+2*x+1) ogf] A104538 18.6452 [-1/4*(-1+2*x+(-(1+6*x)*(-1+2*x))^(1/2))/(-1+2*x) revogf] A104538 27.9678 [-8*(x+1)*x/(1+2*x)/(4*x^2+2*x+1) lgdogf] A104538 9.99454 [{-a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=0} ogf] A104545 11.2286 [-f(x)^2*x^3-f(x)^2*x^2+f(x)-x-1 ogf] A104545 14.4514 [1/2/(1+x^2)*(-1-x^2+((1+x^2)*(x^2+4*x+1))^(1/2)) revogf] A104547 12.5253 [-1/2*(-1-2*x+x^2+(1-2*x^2+4*x^3+x^4)^(1/2))/(1+2*x) revogf] A104547 6.58082 [f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A104550 4.88512 [{a(n)*n+(-7*n-6)*a(n+1)+(7*n+22)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=4,a(2)=20} ogf] A104550 5.80748 [f(x)^2*x^3-6*f(x)^2*x^2-f(x)*x^3+f(x)^2*x+7*f(x)*x^2-7*f(x)*x-x^2+f(x)+2*x-1 ogf] A104551 19.1159 [-(1-4*x+8*x^2)/(x-1)/(1+4*x^2) lgdogf] A104551 8.08745 [4*f(x)^2*x^4-8*f(x)^2*x^3+5*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-x^2 ogf] A104554 15.9594 [x*(x-1)/(x^4-2*x^3+x-1) ogf] A104554 25.4712 [-x^2*(6-8*x+3*x^2)/(x-1)/(x^4-2*x^3+x-1) lgdogf] A104554 7.51807 [{-a(n+4)+a(n+3)-2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=0} ogf] A104554 8.50174 [(8*f(x)+1)*(f(x)*x^4-2*f(x)*x^3+f(x)*x-x^2-f(x)+x) ogf] A104555 17.5655 [3*x^5-3*x^2-3*x+2 ogf_with_Euler_transform] A104555 23.6679 [-(2-8*x+5*x^2)/(x-1)/(x^2-x+1) lgdogf] A104555 7.19001 [-x*(x-1)/(x^2-x+1)^3 ogf] A104563 10.3412 [-x*(x+1)*(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A104563 13.5112 [-(3-2*x+8*x^2+x^4+2*x^5)/(-1+x)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A104563 18.3197 [-x^5+x^3+x^2-x+3 ogf_with_Euler_transform] A104565 12.4555 [f(x)^2*x^2+2*f(x)*x+f(x)-1 ogf] A104565 16.8713 [-((1+4*x+8*x^2)^(1/2)-1)/(1+4*x+8*x^2)^(1/2)/x lgdogf] A104565 4.83470 [{(8*n+16)*a(n+1)+(4*n+14)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=-2,a(2)=3} ogf] A104565 51.7388 [-x/(-1+2*x+x^2) revogf] A104581 22.3149 [1/(x^2-x+1)/(x+1)^2 ogf] A104581 27.6424 [x^5-x^2+x-1 ogf_with_Euler_transform] A104581 38.1212 [-(1-x+4*x^2)/(x+1)/(x^2-x+1) lgdogf] A104581 7.37830 [{-a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-2} ogf] A104581 9.63062 [-f(x)*(f(x)*x^4+f(x)*x^3+f(x)*x+f(x)-1) ogf] A104584 10.1667 [-(7+17*x+4*x^4+11*x^3+33*x^2)/(x-1)/(x+1)/(2*x^3+3*x^2+6*x+1) lgdogf] A104584 7.09334 [-x*(2*x^3+3*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A104585 13.7573 [-(5+25*x+2*x^4+19*x^3+21*x^2)/(-1+x)/(x+1)/(x^3+6*x^2+3*x+2) lgdogf] A104585 9.40643 [-x*(x^3+6*x^2+3*x+2)/(x+1)^2/(x-1)^3 ogf] A104588 9.05489 [-(60*x^32+15*x^27-33*x^24-8*x^8-2*x^3-2)/(x-1)/(15*x^24-2) ogf] A104598 7.09103 [20-208*x-64*x^2+(-2+48*x-144*x^2-64*x^3)*f(x)+(15*x^2-16*x^4-24*x^3-2*x)*f(x)^2 lgdogf] A104621 6.23461 [(x^6+2*x^5+3*x^4+4*x^3+5*x^2+6*x-7)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A104624 17.2998 [-1+4*f(x)*x+f(x)^2 ogf] A104624 60.5059 [x/(1-4*x)^(1/2) revogf] A104624 7.20826 [{4*a(n+1)*n+(n+3)*a(n+3),a(0)=1,a(1)=-2,a(2)=2} ogf] A104625 8.22602 [-f(x)^2*x^4-4*f(x)^2*x-2*f(x)*x^2+f(x)^2-1 ogf] A104626 6.69985 [(5-28*x+48*x^2+2*x^3-80*x^4+80*x^5-30*x^6+4*x^7)/(-1+x)/(x^2-3*x+1)/(2*x^5-6*x^4-2*x^2+11*x-4) lgdogf] A104626 8.24506 [(2*x^5-6*x^4-2*x^2+11*x-4)/(x-1)/(x^2-3*x+1) ogf] A104629 4.10250 [{(4*n+18)*a(n+1)+(7*n+30)*a(n+2)+(-2*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A104629 6.60717 [-f(x)^2*x^4-2*f(x)^2*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A104630 13.4978 [x/(x^4-5*x^3+7*x^2-5*x+1) ogf] A104630 13.8643 [-(-5+14*x+4*x^3-15*x^2)/(7*x^2+1-5*x+x^4-5*x^3) lgdogf] A104630 5.33382 [-(655*f(x)+61)*(f(x)*x^4-5*f(x)*x^3+7*f(x)*x^2-5*f(x)*x+f(x)-x) ogf] A104632 20.0935 [x*(x+1)/(1+3*x+x^4+4*x^2+2*x^3) revogf] A104643 42.6078 [(1+26*x)^(1/26)-1 revegf] A104643 51.7380 [-25+(1+x)*f(x) lgdegf] A104643 8.17900 [{(-n+24)*a(n+1)-a(n+2),a(0)=1,a(1)=25} ogf] A104651 6.92238 [(x+1)*(x^4+174*x^3+16415*x^2+174*x+1)/(x^2-27*x+1)/(x^4+27*x^3+728*x^2+27*x+1) ogf] A104652 5.44660 [8*x*(4*x^4+381*x^3+455*x^2+381*x+4)/(x-1)/(x^6+19602*x^3-1) ogf] A104653 13.5354 [-(-2-4*x+((2*x+1)*(x+2)^2)^(1/2))/(2*x+1) revegf] A104653 6.9583 [-2*f(x)*x^2+f(x)^2+8*f(x)*x-x^2-4*f(x)+4*x egf] A104653 9.73598 [(2*(1-4*x+x^2)^(1/2)-2-4*x+x^2)/(1-4*x+x^2)^(1/2)/x/(x-4) lgdegf] A104661 10.0502 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=3} ogf] A104661 18.3138 [-(x-2)/(x-1)^2 ogf] A104661 9.69553 [(2*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)+x-2) ogf] A104670 15.5167 [-24*(1+7*x+7*x^2)/(x-1)/(21*x^2+14*x+1) lgdogf] A104670 4.61213 [(21*x^2+14*x+1)/(x-1)^10 ogf] A104671 4.52185 [(56*x^3+84*x^2+24*x+1)/(x-1)^12 ogf] A104671 6.06589 [{(n^2+15*n+50)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=36} ogf] A104673 5.86311 [{(n^2+19*n+84)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=66} ogf] A104675 15.4938 [2*(2*x-3)/(x-1)^3 ogf] A104675 21.2322 [-(-7+4*x)/(-1+x)/(-3+2*x) lgdogf] A104675 7.20328 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=14,a(2)=24} ogf] A104675 7.67452 [(61*f(x)-1086)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-4*x+6) ogf] A104676 10.2840 [-3*(2*x^2-7*x+7)/(x-1)^5 ogf] A104676 4.04373 [{(7*n+28)*a(n+4)+(-70-14*n)*a(n+3)+(42+9*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=21,a(1)=84,a(2)=216,a(3)=450} ogf] A104677 6.21389 [{(n^2+15*n+50)*a(n+1)+(-n^2-9*n-14)*a(n+2),a(0)=56,a(1)=336} ogf] A104677 7.24954 [4*(x^3-6*x^2+14*x-14)/(x-1)^7 ogf] A104678 5.48505 [-(x^4-9*x^3+36*x^2-84*x+126)/(x-1)^9 ogf] A104678 5.87072 [{(n^2+17*n+66)*a(n+1)+(-n^2-9*n-14)*a(n+2),a(0)=126,a(1)=1050} ogf] A104679 5.99999 [-252/(x-1)^11 ogf] A104679 6.81817 [{(-n-2)*a(n+2)+(12+n)*a(n+1),a(0)=252,a(1)=2772} ogf] A104680 3.36168 [{(3*n+12)*a(n+4)+(-40+4*n)*a(n+3)+(-112-4*n)*a(n+2)+(-42-3*n)*a(n+1),a(0)=792,a(1)=13728,a(2)=123552,a(3)=772200} ogf] A104681 8.13470 [(2*x^13-2*x^12+x^9+x^8-6*x^7+6*x^6+9*x^5+9*x^4+2*x^3+2*x^2+x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A104683 10.9362 [(x^3-x^2+x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A104683 6.52156 [-(166*f(x)+137)*(f(x)*x^4-6*f(x)*x^2-x^3+x^2+f(x)-x-1) ogf] A104683 9.17429 [-(-1-10*x-9*x^2+4*x^3+9*x^4-2*x^5+x^6)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3-x^2+x+1) lgdogf] A104686 7.77594 [-x*(x^6+3*x^5+3*x^3+3*x+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A104720 12.0042 [-1/(x+1)/(10*x-1)/(x-1)^2 ogf] A104720 16.1169 [-(-11+7*x+40*x^2)/(x-1)/(10*x-1)/(x+1) lgdogf] A104720 3.03020 [{(-n-4)*a(n+4)+(41+10*n)*a(n+3)+(-5+n)*a(n+2)+(-50-10*n)*a(n+1),a(0)=1,a(1)=11,a(2)=112,a(3)=1122} ogf] A104720 6.55962 [(4030201*f(x)-824000)*(10*f(x)*x^4-11*f(x)*x^3-9*f(x)*x^2+11*f(x)*x-f(x)+1) ogf] A104721 14.2873 [-(x+1)^2/(2*x-1)/(2*x+1) ogf] A104721 21.4443 [-2*(1+4*x)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A104721 8.33427 [{-a(n+3)+4*a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A104721 8.86176 [(205*f(x)-141)*(4*f(x)*x^2+x^2-f(x)+2*x+1) ogf] A104722 5.04305 [-f(x)^2*x^4-2*f(x)*x^4-4*f(x)*x^3-x^4-f(x)*x^2-4*x^3+2*f(x)*x-6*x^2+f(x)-4*x-1 ogf] A104722 5.44413 [(12*n^2+80*n+132)*a(n+1)+(80*n+12*n^2+128)*a(n+2)+(-44-23*n-3*n^2)*a(n+3)+(-3*n^2-23*n-40)*a(n+4),a(0)=2,a(1)=2,a(2)=2,a(3)=10 lgdogf] A104740 4.63790 [(3*x+1)*(x^26-x^24+x^22+x^16+x^12-1)/(x^26-x^24+x^22+x^16+x^12+x^8+x^2-1) ogf] A104743 10.5755 [(x+1)*(2*x-1)/(3*x-1)/(x-1)^2 ogf] A104743 12.3936 [-2*(2-7*x+6*x^2+3*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(x+1) lgdogf] A104743 5.70888 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A104743 5.81174 [(4*f(x)-7)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-2*x^2-f(x)-x+1) ogf] A104745 11.6975 [-2*(3-12*x+15*x^2+10*x^3)/(x-1)/(5*x-1)/(4*x^2+x-1) lgdogf] A104745 5.1171 [(10672*f(x)+3953)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-4*x^2-f(x)-x+1) ogf] A104745 5.34154 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=6,a(2)=27} ogf] A104745 9.82153 [(4*x^2+x-1)/(5*x-1)/(x-1)^2 ogf] A104747 7.99728 [-(3*x^2-3*x+1)/(2*x-1)^2/(x-1)^3 ogf] A104767 14.6884 [-x*(x^2+1)/(2*x^3-2*x^2+2*x-1) ogf] A104767 17.9571 [-2*(1-x+x^4+2*x^2)/(x^2+1)/(2*x^3-2*x^2+2*x-1) lgdogf] A104767 6.39113 [{-a(n+4)+2*a(n+3)-2*a(n+2)+2*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A104767 8.45695 [f(x)*(2*f(x)*x^3-2*f(x)*x^2+x^3+2*f(x)*x-f(x)+x) ogf] A104769 13.1687 [-f(x)*x^3+f(x)*x+f(x)+x ogf] A104769 20.9988 [x/(x^3-x-1) ogf] A104769 40.7350 [-(-1+3*x^2)/(-1-x+x^3) lgdogf] A104769 8.35434 [{a(n+3)+a(n+2)-a(n),a(0)=0,a(1)=-1,a(2)=1} ogf] A104770 16.7791 [-(x^2+1)/(x^3-x-1) ogf] A104770 25.2207 [-(-1+2*x+x^4+4*x^2)/(x^2+1)/(x^3-x-1) lgdogf] A104770 8.74653 [{-a(n+3)-a(n+2)+a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A104770 9.13528 [(7*f(x)-22)*(f(x)*x^3-f(x)*x+x^2-f(x)+1) ogf] A104771 16.4435 [-(x^2-x+1)/(x^3-x-1) ogf] A104771 21.8333 [-(-2+2*x+4*x^2-2*x^3+x^4)/(x^2-x+1)/(x^3-x-1) lgdogf] A104771 8.80308 [-(41*f(x)-46)*(f(x)*x^3-f(x)*x+x^2-f(x)-x+1) ogf] A104771 9.27132 [{a(n+3)+a(n+2)-a(n),a(0)=1,a(1)=-2,a(2)=3} ogf] A104777 10.4812 [-(25+73*x+x^5+49*x^4+94*x^3+190*x^2)/(x-1)/(x+1)/(x^4+24*x^3+22*x^2+24*x+1) lgdogf] A104777 8.34517 [-(x^4+24*x^3+22*x^2+24*x+1)/(x+1)^2/(x-1)^3 ogf] A104794 13.1461 [-(-2*x-4)/(x^2-1) ogf_with_Euler_transform] A104794 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(1/2)*2^(1/2)/GAMMA(3/4)^2 A104858 6.37 [2*f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x+f(x)*x^2-f(x)+1 ogf] A104858 7.13985 [-1/2*(1-2*x+x^2+3*(x^2-6*x+1)^(1/2)*x-(x^2-6*x+1)^(1/2))/x/(x^2-6*x+1)^(1/2)/(-1+x) lgdogf] A104859 3.10766 [{(-27*n^2-135*n-168)*a(n+1)+(31*n^2+161*n+210)*a(n+2)+(-4*n^2-26*n-42)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A104859 5.11527 [f(x)^3*x^4-3*f(x)^3*x^3+3*x^2*f(x)^3-f(x)^3*x-f(x)*x+f(x)-1 ogf] A104862 11.1407 [-x*(x-1)/(x^4+x^2-2*x+1) ogf] A104862 15.3387 [-(1-2*x+x^2-4*x^3+3*x^4)/(x-1)/(x^4+x^2-2*x+1) lgdogf] A104862 7.47083 [-f(x)*x^4-f(x)*x^2+2*f(x)*x-x^2-f(x)+x ogf] A104891 12.5506 [-5*f(x)*x^2+6*f(x)*x-f(x)+5*x ogf] A104891 18.7423 [-1/10*(-6*x-5+(16*x^2+60*x+25)^(1/2))/x revogf] A104891 20.0131 [5*x/(5*x-1)/(x-1) ogf] A104891 28.1135 [-2*(-3+5*x)/(5*x-1)/(-1+x) lgdogf] A104891 9.14180 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=5} ogf] A104896 12.1022 [-7*f(x)*x^2+8*f(x)*x-f(x)+7*x ogf] A104896 17.6189 [-1/14*(-7-8*x+(49+112*x+36*x^2)^(1/2))/x revogf] A104896 19.2981 [7*x/(7*x-1)/(x-1) ogf] A104896 27.1060 [-2*(-4+7*x)/(7*x-1)/(-1+x) lgdogf] A104896 8.81519 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=7} ogf] A104934 10.5377 [(9*f(x)-7)*(2*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A104934 13.2066 [(x-1)/(2*x^2+3*x-1) ogf] A104934 13.8472 [1/2/(-1+2*x)*(-1-3*x+(1+2*x+17*x^2)^(1/2)) revogf] A104934 16.6167 [-2*(-1-2*x+x^2)/(x-1)/(2*x^2+3*x-1) lgdogf] A104934 7.24750 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=2} ogf] A104969 3.55282 [{(-8*n-24)*a(n+1)+(4*n+12)*a(n+2)+(-2*n-8)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=12} ogf] A104969 4.0171 [-16*f(x)^2*x^4+16*f(x)^2*x^3-8*f(x)^2*x^2-32*f(x)*x^3+4*f(x)^2*x+16*f(x)*x^2-f(x)^2-8*f(x)*x-16*x^2+4*f(x)-3 ogf] A104970 4.80187 [{(16*n+40)*a(n+1)+2*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=6,a(2)=18} ogf] A104970 5.62271 [-64*f(x)^2*x^3+16*f(x)^2*x^2+4*f(x)^2*x-64*f(x)*x^2-f(x)^2+4*f(x)-16*x-3 ogf] A104977 5.06845 [(x^20-x^16-x^12-x^4+1)/(x^21+x^20-3*x^19-x^17-x^16-x^13-x^12-x^11-x^5-x^4+x^3+x+1) ogf] A104979 10.1638 [-1+f(x)-f(x)^2*x^2-f(x)^3*x ogf] A104979 15.8729 [1/2/(1+x^2)*(1+(1-4*x-4*x^3)^(1/2))*x revogf] A105036 7.18760 [-4*x*(x^2+x+1)/(x-1)/(x^4-26*x^2+1) ogf] A105036 8.04517 [-(2+54*x-53*x^2-56*x^3-24*x^4+2*x^5+3*x^6)/(x-1)/(x^2+x+1)/(x^4-26*x^2+1) lgdogf] A105037 7.59317 [-2*x*(2*x^2+x+2)/(x-1)/(x^4-22*x^2+1) ogf] A105037 8.86896 [-(3+92*x+6*x^6-37*x^4-52*x^3-112*x^2)/(x-1)/(2*x^2+x+2)/(x^4-22*x^2+1) lgdogf] A105038 15.1578 [-4*x/(x-1)/(x^2-10*x+1) ogf] A105038 15.9841 [-(11-22*x+3*x^2)/(x-1)/(x^2-10*x+1) lgdogf] A105038 6.24928 [{a(n+3)-11*a(n+2)+11*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=44} ogf] A105038 9.01795 [f(x)*x^3-11*f(x)*x^2+11*f(x)*x-f(x)+4*x ogf] A105040 7.82953 [-3*x*(5*x^2+32*x+5)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A105045 8.28406 [-x*(x^4+x^3-7*x^2+x+1)/(x-1)/(x^4-8*x^2+1) ogf] A105045 8.71705 [-(2+2*x+2*x^7+x^8-6*x^2-18*x^3+47*x^4+2*x^5-14*x^6)/(x-1)/(x^4+x^3-7*x^2+x+1)/(x^4-8*x^2+1) lgdogf] A105046 5.57756 [-x*(x^6+7*x^5+137*x^4-938*x^3+137*x^2+7*x+1)/(x-1)/(x^2-11*x+1)/(x^4+11*x^3+120*x^2+11*x+1) ogf] A105051 5.96924 [-3*x^2*(5*x^2+32*x+5)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A105058 4.50578 [-(64948*f(x)+18869)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+x^2+f(x)-8*x-1) ogf] A105058 4.86149 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=69} ogf] A105058 9.08541 [-(x^2-8*x-1)/(x+1)/(x^2-6*x+1) ogf] A105058 9.51276 [-(13+8*x-16*x^3+x^4+42*x^2)/(1+x)/(x^2+1-6*x)/(x^2-8*x-1) lgdogf] A105063 7.02316 [-8*x^2*(x+1)^2/(x-1)/(x^2-8*x-1)/(x^2+8*x-1) ogf] A105063 8.38286 [-(3+131*x+3*x^5+3*x^4-70*x^3-198*x^2)/(x-1)/(x+1)/(x^2-8*x-1)/(x^2+8*x-1) lgdogf] A105072 17.1724 [2*a(n)+(-n-1)*a(n+1),a(0)=2,a(1)=1 lgdegf] A105073 11.0345 [-2*x/(x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A105073 12.0565 [-(3-2*x+5*x^4-12*x^3+3*x^2)/(x-1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A105076 8.39221 [-x*(x^2+x+1)/(x-1)/(x^4-8*x^2+1) ogf] A105076 9.43341 [-(2+18*x+3*x^6+2*x^5-6*x^4-20*x^3-17*x^2)/(x-1)/(x^2+x+1)/(x^4-8*x^2+1) lgdogf] A105077 14.4693 [-(x^3+5*x+5)/(x^2-x+1)/(x+1)^2 ogf] A105077 20.8860 [-x^2*(x^3+12+16*x-x^2)/(x+1)/(x^2-x+1)/(x^3+5*x+5) lgdogf] A105077 7.35524 [(37195*f(x)+251511)*(f(x)*x^4+f(x)*x^3+x^3+f(x)*x+f(x)+5*x+5) ogf] A105082 14.5017 [-(4*x+5)/(x^2+2*x-1) ogf] A105082 15.9848 [1/2/(4+x)*(-5-2*x+(25+36*x+8*x^2)^(1/2)) revogf] A105082 17.7609 [-2*(7+5*x+2*x^2)/(4*x+5)/(x^2+2*x-1) lgdogf] A105082 7.58809 [(19*f(x)+3)*(f(x)*x^2+2*f(x)*x-f(x)+4*x+5) ogf] A105082 7.86236 [{a(n+2)-2*a(n+1)-a(n),a(0)=5,a(1)=14} ogf] A105094 13.9801 [-(8*x+16)/(x^2-1) ogf_with_Euler_transform] A105094 99.9999 Evaluated at exp(-Pi) 32/Pi^2*GAMMA(3/4)^8 A105095 99.9999 Evaluated at exp(-Pi) 24*exp(-1/2*Pi)/Pi^2*2^(1/2)*GAMMA(3/4)^8 A105099 5.91112 [-5*x*(67*x^2+96*x+67)/(x-1)/(x^2-48*x+1)/(x^2+48*x+1) ogf] A105150 12.8135 [-x*(7*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A105150 9.17620 [-(1+4*x+6*x^6+4*x^5+40*x^4+20*x^3+9*x^2+5*x^8+6*x^7)/(x-1)/(x^4+x^3+x^2+x+1)/(7*x^5+5*x^4+3*x^3+2*x^2+x+1) lgdogf] A105163 10.4417 [-(2*x^3-5*x^2+3*x-1)/(x-1)^4 ogf] A105163 4.27667 [{(21*n^2+129*n+174)*a(n+1)+(-46*n^2-244*n-282)*a(n+2)+(25*n^2+103*n+84)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A105163 5.58344 [-(74*f(x)+391)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-5*x^2+f(x)+3*x-1) ogf] A105175 5.18221 [-413*x^2*(22363*x^2+13920*x+22363)/(x-1)/(x^2+6960*x+1)/(x^2-6960*x+1) ogf] A105187 3.33030 [{(n^3+12*n^2+47*n+60)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=24} ogf] A105188 3.55505 [{(-n^4-18*n^3-119*n^2-342*n-360)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=120} ogf] A105198 8.24416 [-x*(x^4+2*x^3+2*x+1)/(x-1)/(x^4+1)/(x^2+1) ogf] A105198 9.92528 [-(3+3*x^10+6*x^9-5*x^8+16*x^7-2*x-6*x^6+4*x^5-2*x^4+7*x^2)/(x-1)/(x^2+1)/(x^4+1)/(x^4+2*x^3+2*x+1) lgdogf] A105209 7.08066 [-(x^52+x^49-x^42-x^37-x^25-x^22-x^15-x^3-1)/(x-1)/(x^49-x^22-1) ogf] A105218 15.3020 [-(x-2)*(2*x^2-3)/(x^2-x-1)/(x-1)^2 lgdegf] A105219 28.7337 [-(-4+3*x)/(x-1)^2 lgdegf] A105225 14.0593 [-(3*x^2-3*x+1)/(x-1)/(2*x^2-x+1) ogf] A105225 16.6819 [-(-1+9*x^2-12*x^3+6*x^4)/(x-1)/(3*x^2-3*x+1)/(2*x^2-x+1) lgdogf] A105225 7.33005 [-(91*f(x)-31)*(2*f(x)*x^3-3*f(x)*x^2+2*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A105225 7.65728 [{-a(n+3)+2*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=-2} ogf] A105244 6.65297 [(2*x^14+x^11-x^10-2*x^9-2*x^8-3*x^7-5*x^6-4*x^5-3*x^4-4*x^3-3*x^2-2*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) ogf] A105249 17.7717 [-21*(x+1)*(5*x+1)/(x-1)/(15*x^2+12*x+1) lgdogf] A105249 3.39628 [{(n+4)*a(n+4)+(12+11*n)*a(n+3)+(-120+3*n)*a(n+2)+(-120-15*n)*a(n+1),a(0)=1,a(1)=21,a(2)=168,a(3)=840} ogf] A105249 5.93635 [-(15*x^2+12*x+1)/(x-1)^9 ogf] A105250 13.9768 [-8*(4+42*x+84*x^2+35*x^3)/(x-1)/(35*x^3+63*x^2+21*x+1) lgdogf] A105250 4.98656 [-(35*x^3+63*x^2+21*x+1)/(x-1)^11 ogf] A105250 6.24334 [{(n^2+14*n+45)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=32} ogf] A105251 10.2460 [-45*(1+16*x+14*x^4+56*x^3+56*x^2)/(x-1)/(70*x^4+224*x^3+168*x^2+32*x+1) lgdogf] A105251 6.01904 [{(n^2+16*n+60)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=45} ogf] A105252 6.07189 [{(n^2+18*n+77)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=60} ogf] A105252 8.15700 [-30*(2+45*x+240*x^2+420*x^3+252*x^4+42*x^5)/(x-1)/(126*x^5+630*x^4+840*x^3+360*x^2+45*x+1) lgdogf] A105253 6.11803 [{(n^2+20*n+96)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=77} ogf] A105254 5.93281 [{(n^2+22*n+117)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=96} ogf] A105262 8.42734 [-(1+8*x+3*x^6+10*x^2+2*x^3-4*x^4+2*x^7)/(x+1)/(x^3+x^2-1)/(x^4-x^3-3*x^2-2*x+1) lgdogf] A105262 9.30059 [-(x^3+x^2-1)/(x+1)/(x^4-x^3-3*x^2-2*x+1) ogf] A105271 8.16516 [(4+5922*x^8-12851*x^7+6937*x^6+14*x^4-37*x^3+27*x^2)/(x-1)/(987*x^8-991*x^7+7*x^4-9*x^3+x^2-2*x-1) lgdogf] A105271 8.72766 [-x*(987*x^8-991*x^7+7*x^4-9*x^3+x^2-2*x-1)/(x-1)^2 ogf] A105279 11.2098 [-10*f(x)*x^2+11*f(x)*x-f(x)+10*x ogf] A105279 15.9540 [-1/20*(-10-11*x+(100+220*x+81*x^2)^(1/2))/x revogf] A105279 17.3752 [10*x/(10*x-1)/(x-1) ogf] A105279 25.4082 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A105279 8.27392 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=10} ogf] A105280 11.2098 [-11*f(x)*x^2+12*f(x)*x-f(x)+11*x ogf] A105280 15.5914 [-1/22*(-12*x-11+(100*x^2+264*x+121)^(1/2))/x revogf] A105280 17.3752 [11*x/(11*x-1)/(x-1) ogf] A105280 24.5008 [-2*(-6+11*x)/(11*x-1)/(-1+x) lgdogf] A105280 8.27392 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=0,a(1)=11} ogf] A105281 12.4888 [-6*f(x)*x^2+7*f(x)*x-f(x)+6*x ogf] A105281 18.6521 [-1/12*(-7*x-6+(25*x^2+84*x+36)^(1/2))/x revogf] A105281 19.9146 [6*x/(-1+6*x)/(x-1) ogf] A105281 29.0973 [-(-7+12*x)/(6*x-1)/(-1+x) lgdogf] A105281 9.09679 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=0,a(1)=6} ogf] A105309 10.6638 [-(x-1)*(x+1)/(x^4-x^3-2*x^2-x+1) ogf] A105309 10.9562 [-(1+2*x-x^4-4*x^3+2*x^5+4*x^2)/(x-1)/(x+1)/(x^4-x^3-2*x^2-x+1) lgdogf] A105309 5.3319 [-(39*f(x)-8)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A105340 105.693 [-3/(x-1) lgdogf] A105340 8.74952 [x*(2048*x^60+6144*x^59+12288*x^58+1)/(20480*x^60-30720*x^59+12288*x^58-x^3+3*x^2-3*x+1) ogf] A105343 10.8790 [-(x^4+x^3-2*x^2+x+1)/(x+1)/(x-1)^3 ogf] A105343 6.54443 [(14*f(x)+3)*(f(x)*x^4-2*f(x)*x^3+x^4+x^3+2*f(x)*x-2*x^2-f(x)+x+1) ogf] A105367 16.3177 [-x^2*(3+6*x+4*x^2+2*x^3)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A105367 19.1998 [[x^4-x^2] ogf_with_Euler_transform] A105367 4.19728 [-(3*f(x)-4)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x-x^2+f(x)-x-1) ogf] A105367 8.09042 [(x^2+x+1)/(x^4+x^3+x^2+x+1) ogf] A105368 10.0734 [-(x-1)*(x^2+x+1)/(x^4+x^3+x^2+x+1) ogf] A105368 13.4624 [-(-1-2*x-6*x^2-6*x^3-x^4+x^6)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A105368 19.7855 [[x^4-x^2-1] ogf_with_Euler_transform] A105368 5.19661 [(5*f(x)-33)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3+f(x)*x+f(x)-1) ogf] A105369 10.7425 [-(1+2*x)*(15*x^4+30*x^3+25*x^2+10*x+2)/(3*x^2+3*x+1)/(5*x^4+10*x^3+10*x^2+5*x+1) lgdogf] A105369 11.2905 [(3*x^2+3*x+1)/(5*x^4+10*x^3+10*x^2+5*x+1) ogf] A105369 7.35435 [-5*f(x)*x^4-10*f(x)*x^3-10*f(x)*x^2-5*f(x)*x+3*x^2-f(x)+3*x+1 ogf] A105370 10.4806 [(x+1)*(3*x^2+3*x+1)/(5*x^4+10*x^3+10*x^2+5*x+1) ogf] A105370 5.91404 [(5*f(x)-33)*(5*f(x)*x^4+10*f(x)*x^3+10*f(x)*x^2-3*x^3+5*f(x)*x-6*x^2+f(x)-4*x-1) ogf] A105370 9.78291 [-(1+8*x+60*x^5+15*x^6+31*x^2+70*x^3+90*x^4)/(x+1)/(3*x^2+3*x+1)/(5*x^4+10*x^3+10*x^2+5*x+1) lgdogf] A105371 10.4566 [-(1-4*x+x^6-4*x^5+6*x^4-6*x^3+5*x^2)/(x-1)/(x^2-x+1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A105371 6.26463 [f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+2*x-1 ogf] A105371 9.35627 [-(x-1)*(x^2-x+1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A105374 10.1403 [8*x*(x^2+x+1)/(x-1)^4 ogf] A105374 24.3135 [-(5+5*x+2*x^2)/(x-1)/(x^2+x+1) lgdogf] A105374 29.3849 [[-x^2+5] ogf_with_Euler_transform] A105374 4.45927 [{(-3-n)*a(n+4)+5*a(n+3)+5*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=8,a(2)=40,a(3)=120} ogf] A105374 5.28742 [-(75*f(x)+328)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-8*x^2+f(x)-8*x) ogf] A105384 13.1716 [x/(x^4+x^3+x^2+x+1) ogf] A105384 15.9763 [-a(n+4)-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=-1,a(1)=-1,a(2)=-1,a(3)=-1 lgdogf] A105384 27.8663 [[x^4-1] ogf_with_Euler_transform] A105384 7.34836 [-f(x)*x^4-f(x)*x^3-f(x)*x^2-f(x)*x-f(x)+x ogf] A105385 19.5144 [-x*(2+3*x^3+6*x^2+4*x)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A105385 23.5790 [[x^4-x] ogf_with_Euler_transform] A105385 4.88366 [(2*f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x+f(x)-x-1) ogf] A105385 9.68726 [(x+1)/(x^4+x^3+x^2+x+1) ogf] A105390 9.75704 [-x^11*(x^19-x^10+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A105392 6.55086 [-(-17-16*x+82*x^2+44*x^3-13*x^4-4*x^5-4*x^6+x^8)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-3*x^2-2*x-5) lgdogf] A105392 7.02871 [x*(x^4-3*x^2-2*x-5)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A105395 10.3260 [{-a(n+4)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=7} ogf] A105395 11.9433 [(5*f(x)-4)*(f(x)*x^3+6*x^3+x^2-f(x)+x+1) ogf] A105395 15.9455 [-(1+2*x+x^4+2*x^3+21*x^2)/(x-1)/(2*x+1)/(x^2+x+1)/(3*x^2-x+1) lgdogf] A105395 17.3911 [-(2*x+1)*(3*x^2-x+1)/(x-1)/(x^2+x+1) ogf] A105396 13.0433 [{-a(n+3)+a(n),a(0)=3,a(1)=6,a(2)=6} ogf] A105396 13.2172 [(f(x)+6)*(f(x)*x^3+6*x^2-f(x)+6*x+3) ogf] A105396 17.3692 [-(2+4*x+2*x^4+4*x^3+3*x^2)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A105396 20.2305 [-3*(2*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A105397 14.9589 [{-a(n+2)+a(n),a(0)=4,a(1)=2} ogf] A105397 21.2749 [-f(x)*x^2+f(x)-2*x-4 ogf] A105397 21.4435 [-(1+4*x+x^2)/(x-1)/(x+2)/(x+1) lgdogf] A105397 22.9752 [(-2+(4+x^2+2*x)^(1/2))/(x+2) revogf] A105397 23.3505 [-2*(x+2)/(x-1)/(x+1) ogf] A105398 15.4890 [{a(n+2)-a(n),a(0)=4,a(1)=8} ogf] A105398 22.0287 [f(x)*x^2-f(x)+8*x+4 ogf] A105398 24.1779 [-4*(2*x+1)/(x-1)/(x+1) ogf] A105398 30.3962 [-2*(x^2+x+1)/(x-1)/(2*x+1)/(x+1) lgdogf] A105398 34.7385 [(-2+(4+8*x+x^2)^(1/2))/(8+x) revogf] A105423 26.0408 [-3*x*(x-2)/(x-1)/(x^2+x-1) lgdogf] A105423 3.84156 [{(n+4)*a(n+4)+(-2*n-6)*a(n+3)-6*a(n+2)+(n+4)*a(n+1),a(0)=1,a(1)=0,a(2)=3,a(3)=3} ogf] A105423 8.93039 [(x-1)^3/(x^2+x-1)^3 ogf] A105426 13.3144 [-(3*x-1)/(x^2-8*x+1) ogf] A105426 14.6791 [-1/2*(-1-8*x+(1+4*x+60*x^2)^(1/2))/(3+x) revogf] A105426 16.7761 [-(5-2*x+3*x^2)/(-1+3*x)/(x^2-8*x+1) lgdogf] A105426 6.3739 [-(1496*f(x)-871)*(f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A105426 7.30666 [{a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=5} ogf] A105432 10.3872 [-(x^18-x^17+x^6-x^4+x^2+2*x-4)/(x-1)^2 ogf] A105432 9.74327 [(6-4*x+17*x^16+16*x^18-33*x^17+4*x^6-6*x^5-2*x^4+4*x^3)/(x-1)/(x^18-x^17+x^6-x^4+x^2+2*x-4) lgdogf] A105434 9.30742 [(x^28+x^24+x^12+x^6+x^4+x^2+1)/(x-1)^2 ogf] A105450 6.08365 [x*(2*x^5-11*x^4+26*x^3-32*x^2+20*x-6)/(x-1)^7 ogf] A105450 9.67550 [-(-22+56*x+4*x^5-23*x^4+60*x^3-82*x^2)/(x-1)/(2*x^5-11*x^4+26*x^3-32*x^2+20*x-6) lgdogf] A105452 5.27530 [{(-7*n-34)*a(n+1)+(7*n+13)*a(n+4),a(0)=2,a(1)=13,a(2)=20,a(3)=9} ogf] A105452 7.01744 [-(13+40*x+16*x^6+15*x^5+x^7+85*x^4+97*x^3+27*x^2)/(x-1)/(x^2+x+1)/(x^5+8*x^4+5*x^3+20*x^2+13*x+2) lgdogf] A105452 8.38964 [(x^5+8*x^4+5*x^3+20*x^2+13*x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A105476 15.7019 [(x-1)*(x+1)/(3*x^2+x-1) ogf] A105476 7.54308 [{-a(n+3)+a(n+2)+3*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A105476 8.64487 [(8*f(x)-7)*(3*f(x)*x^2+f(x)*x-x^2-f(x)+1) ogf] A105479 16.6355 [(-n-2)*a(n+2)+a(n+1),a(0)=1,a(1)=1 lgdegf] A105514 6.59028 [x^19*(x+1)*(x^4-x^3+x^2-x+1)*(x^24-x^10+1)/(x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A105518 7.70696 [-x^6*(x^43-x^34-x^24+x^10-1)/(x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A105523 13.3204 [-1/2*(2*x-1+(1+4*x^2)^(1/2))/(1+4*x^2)^(1/2)/x lgdogf] A105523 38.2962 [x*(x-1)/(-1+2*x) revogf] A105523 8.74892 [-f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A105524 7.00291 [-f(x)^2*x^4+2*f(x)^2*x^2+4*f(x)*x^3-4*f(x)*x^2-2*f(x)*x-f(x)+1 ogf] A105559 14.8921 [-(3*x^2-3)/(x^4+x^2+1) ogf_with_Euler_transform] A105565 5.95383 [-x*(x^44-x^43+x^13+x^12+x^10+x^9+x^8+x^7+x^5+x^4+x^3+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A105576 13.2757 [-(x^2-2*x+3)/(x-1)/(2*x^2-x+1) ogf] A105576 15.2695 [-2*(2-8*x+x^4-4*x^3+11*x^2)/(x-1)/(x^2-2*x+3)/(2*x^2-x+1) lgdogf] A105576 6.98118 [-(9*f(x)-59)*(2*f(x)*x^3-3*f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+3) ogf] A105576 7.29565 [{a(n+3)-2*a(n+2)+3*a(n+1)-2*a(n),a(0)=3,a(1)=4,a(2)=0} ogf] A105577 13.5859 [(x^2-3*x-1)/(x-1)/(2*x^2-x+1) ogf] A105577 15.9477 [-(-5+8*x+x^2-12*x^3+2*x^4)/(x-1)/(2*x^2-x+1)/(x^2-3*x-1) lgdogf] A105577 6.79293 [-(1403*f(x)-10259)*(2*f(x)*x^3-3*f(x)*x^2+2*f(x)*x-x^2-f(x)+3*x+1) ogf] A105577 7.39945 [{a(n+3)-2*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=6} ogf] A105578 14.5465 [-(x^2-x+1)/(x-1)/(2*x^2-x+1) ogf] A105578 17.8735 [-(1-4*x+7*x^2-4*x^3+2*x^4)/(x-1)/(x^2-x+1)/(2*x^2-x+1) lgdogf] A105578 7.71596 [-(f(x)-2)*(2*f(x)*x^3-3*f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1) ogf] A105578 7.99401 [{-a(n+3)+2*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A105579 14.7063 [-(x^2+x+1)/(x-1)/(2*x^2-x+1) ogf] A105579 18.5103 [-(3-4*x+x^2+4*x^3+2*x^4)/(x-1)/(x^2+x+1)/(2*x^2-x+1) lgdogf] A105579 7.86916 [(35*f(x)-477)*(2*f(x)*x^3-3*f(x)*x^2+2*f(x)*x+x^2-f(x)+x+1) ogf] A105579 8.00969 [{a(n+3)-2*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=4} ogf] A105580 14.3103 [-(x^2+x-5)/(x^3-x^2-x-1) ogf] A105580 18.9901 [-(6+12*x-15*x^2+2*x^3+x^4)/(x^2+x-5)/(x^3-x^2-x-1) lgdogf] A105580 7.33555 [-(538*f(x)+413)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2-f(x)+x-5) ogf] A105580 7.86423 [{-a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=-5,a(1)=6,a(2)=0} ogf] A105633 6.69575 [-f(x)^2*x^3+f(x)^2*x^2-f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A105633 9.02774 [-1/2*(-(x+1)^(1/2)*x-(x+1)^(1/2)+(x^3-x^2+3*x+1)^(1/2))/(x+1)^(1/2)/x revogf] A105635 13.0272 [x/(x-1)/(x+1)/(x^2+2*x-1) ogf] A105635 14.4732 [-2*(-1-2*x+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A105635 8.35425 [-f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A105636 10.0192 [-x*(x^2+4*x+1)/(x+1)/(x-1)^5 ogf] A105636 18.1929 [-4*(2+6*x+x^3+6*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A105636 4.85960 [{(n^2+8*n+16)*a(n+1)+(12+4*n)*a(n+2)+(-n^2-4*n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A105637 14.9801 [x*(2*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A105637 15.8034 [-(2+4*x+8*x^4+13*x^3+9*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A105638 10.3418 [x*(x^3-4*x-1)/(x+1)^2/(x-1)^3 ogf] A105638 16.5144 [-(-5-9*x+2*x^4+x^3-13*x^2)/(x-1)/(x+1)/(x^3-4*x-1) lgdogf] A105644 8.54868 [x*(6*x^6+6*x^5+6*x^4+6*x^3+6*x^2+6*x+5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A105660 4.44712 [(31716*f(x)+78665)*(f(x)*x^4-6*f(x)*x^3+13*f(x)*x^2+x^3-6*f(x)*x-6*x^2+f(x)+8*x-3) ogf] A105660 7.93301 [-(10-66*x+x^6-12*x^5+47*x^4-96*x^3+119*x^2)/(x-1)/(x^2-5*x+3)/(x^4-6*x^3+13*x^2-6*x+1) lgdogf] A105660 8.32410 [-(x-1)*(x^2-5*x+3)/(x^4-6*x^3+13*x^2-6*x+1) ogf] A105671 6.12910 [-(1+240*x+x^8-449*x^2+150*x^3+66*x^4-90*x^5+31*x^6)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1)/(x^4+8*x^2-15*x+16) lgdogf] A105671 7.26518 [-(x^4+8*x^2-15*x+16)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A105693 13.6688 [-(-4+14*x+4*x^3-13*x^2)/(x-1)/(2*x-1)/(x^2-3*x+1) lgdogf] A105693 13.7838 [x*(x-1)/(2*x-1)/(x^2-3*x+1) ogf] A105693 7.07817 [{-a(n+3)+5*a(n+2)-7*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A105693 7.27478 [(19*f(x)-3)*(2*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-x^2-f(x)+x) ogf] A105694 13.6706 [(x-1)*(x+1)/(10*x-1) ogf] A105694 16.5408 [2*(5-x+5*x^2)/(x-1)/(10*x-1)/(x+1) lgdogf] A105694 6.59961 [{-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=99} ogf] A105694 7.86528 [(49*f(x)+1)*(10*f(x)*x-x^2-f(x)+1) ogf] A105695 7.67232 [f(x)^2*x+f(x)*x^2+x^3-x^2-f(x)-x+1 ogf] A105696 10.3042 [-3*f(x)^2*x-x^3+f(x)^2+x^2+x-1 ogf] A105696 22.6360 [(1+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A105696 3.54377 [{(-n-4)*a(n+4)+(10+3*n)*a(n+3)+(n+2)*a(n+2)-3*n*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A105723 12.6511 [-3*f(x)*x^2-2*f(x)*x+f(x)-4*x ogf] A105723 17.2591 [-4*x/(x+1)/(3*x-1) ogf] A105723 20.9604 [1/3*(-2-x+2*(1+x+x^2)^(1/2))/x revogf] A105723 26.2006 [-2*(3*x+1)/(x+1)/(3*x-1) lgdogf] A105723 7.88380 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=4} ogf] A105747 2.80540 [{-a(n+1)+(-4*n-13)*a(n+2)+(4*n+15)*a(n+3)-a(n+4),a(0)=1,a(1)=4,a(2)=23,a(3)=216} ogf] A105748 4.02439 [{a(n+1)+(2*n+6)*a(n+2)+(-2*n-8)*a(n+3)+a(n+4),a(0)=1,a(1)=3,a(2)=10,a(3)=47} ogf] A105751 4.31834 [{(n^3+7*n^2+17*n+15)*a(n+1)+(-5-2*n)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A105752 13.6069 [-2*f(x)*x+x^2-2*f(x)+2*x+2 egf] A105752 16.0258 [1/2*(x^2+2*x+2)/(x+1) egf] A105752 29.7244 [x*(x+2)/(x+1)/(x^2+2*x+2) lgdegf] A105752 3.33872 [{(-n^2-2*n)*a(n+1)+(-n^2-6*n-6)*a(n+2)+(-n^2-9*n-18)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=-3} ogf] A105754 4.87091 [-(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A105755 4.37451 [-(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A105770 10.8125 [-2*(1+5*x+2*x^6+x^5+7*x^4+9*x^3+2*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(4*x^2+x+1) lgdogf] A105770 9.40989 [-(x^2-x+1)*(4*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A105801 4.66516 [(123*x^9-153*x^8+153*x^7+201*x^6-266*x^5-29*x^4-41*x^3+16*x^2+2*x+2)/(x-1)/(9*x^6+33*x^3-2) ogf] A105811 15.4450 [-(x^2-x-1)/(x+1)^2 ogf] A105811 41.0944 [(1+3*x)/(x+1)/(x^2-x-1) lgdogf] A105811 8.10480 [{-a(n+3)-2*a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=0} ogf] A105811 8.43902 [-(f(x)-3)*(f(x)*x^2+2*f(x)*x+x^2+f(x)-x-1) ogf] A105812 12.9879 [f(x)*x+x^2+f(x)-x-1 ogf] A105812 15.2969 [-(x^2-x-1)/(x+1) ogf] A105812 36.5585 [x*(x+2)/(x+1)/(x^2-x-1) lgdogf] A105812 8.29349 [{a(n+3)+a(n+2),a(0)=1,a(1)=0,a(2)=-1} ogf] A105814 8.88221 [(-13+10*x+3240*x^11-10440*x^10+11250*x^9-4050*x^8)/(x-1)/(405*x^11-855*x^10+450*x^9-5*x+6) lgdogf] A105814 9.25710 [-2*(405*x^11-855*x^10+450*x^9-5*x+6)/(x-1)^3 ogf] A105837 4.9063 [(498969450*f(x)+139707517)*(f(x)*x^4-398*f(x)*x^2-x^3-131*x^2+f(x)-131*x-1) ogf] A105837 8.49963 [(x+1)*(x^2+130*x+1)/(x^2+20*x+1)/(x^2-20*x+1) ogf] A105838 7.40454 [-3*x*(13*x^2+40*x+13)/(x-1)/(x^2+20*x+1)/(x^2-20*x+1) ogf] A105839 5.70725 [(x+1)*(x^6+36*x^5+2891*x^4+65280*x^3+2891*x^2+36*x+1)/(x^4-340*x^2+1)/(x^4+340*x^2+1) ogf] A105843 5.39421 [(3747688560*f(x)+2781895871)*(f(x)*x^4-146*f(x)*x^2-x^3-149*x^2+f(x)-149*x-1) ogf] A105843 9.49686 [(x+1)*(x^2+148*x+1)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A105844 6.37195 [-24*x*(x^2+x+1)/(x-1)/(x^2-12*x-1)/(x^2+12*x-1) ogf] A105845 4.57979 [(76727403673600*f(x)+62274902334769)*(f(x)*x^4-4098*f(x)*x^2-x^3-4511*x^2+f(x)-4511*x-1) ogf] A105845 8.41692 [(x+1)*(x^2+4510*x+1)/(x^2-64*x-1)/(x^2+64*x-1) ogf] A105846 7.39357 [-64*x*(11*x^2+10*x+11)/(x-1)/(x^2-64*x-1)/(x^2+64*x-1) ogf] A105849 10.6592 [-1/2*(-1-4*x-x^2+((x+1)*(x^3-x^2+3*x+1))^(1/2))/(2*x^2+1+4*x) revogf] A105849 6.69786 [-2*f(x)^2*x^3+f(x)^2*x^2-4*f(x)*x^2+4*f(x)*x-f(x)-x+1 ogf] A105864 8.5049 [f(x)^2*x^3-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A105865 8.8434 [2*f(x)^2*x^3-f(x)^2*x-2*f(x)*x^2+f(x)-1 ogf] A105866 12.9631 [x/(4*x^4+2*x^3-5*x^2-x+1) ogf] A105866 14.1008 [-(-1-10*x+16*x^3+6*x^2)/(-5*x^2+1-x+4*x^4+2*x^3) lgdogf] A105866 5.58571 [-(31*f(x)-13)*(4*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2-f(x)*x+f(x)-x) ogf] A105867 12.4794 [-(-1-12*x+6*x^2+16*x^3)/(x-1)/(2*x+1)/(2*x^2+2*x-1) lgdogf] A105867 13.1928 [x/(2*x+1)/(x-1)/(2*x^2+2*x-1) ogf] A105867 5.29875 [-(19*f(x)-6)*(4*f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-f(x)*x+f(x)-x) ogf] A105870 5.98718 [-x*(x^14+6*x^13+2*x^12+4*x^11+5*x^10+6*x^9+6*x^8+6*x^6+x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A105872 4.99901 [4*f(x)^2*x^4-f(x)^2*x^3+12*f(x)^2*x^2-3*f(x)^2*x-4*f(x)*x^2+5*f(x)*x-f(x)+1 ogf] A105899 11.5795 [-(1+2*x+3*x^8+3*x^6+2*x^5-2*x^4+8*x^3+x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(3*x^4+2*x^2+1) lgdogf] A105899 12.2382 [-(3*x^4+2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A105920 2.15646 [(f(x)-1)^2 ogf] A105923 2.83977 [(f(x)-1)*(-1536*x^6+f(x)-1) ogf] A105924 6.1578 [(f(x)-1)^2 ogf] A105926 23.5365 [-(1-x+2*x^2)/(2*x-1)/(x-1) lgdegf] A105927 4.42923 [{(-n^2-5*n-6)*a(n+1)+(-n^2-5*n-6)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A105928 4.51625 [{(-n^2-5*n-6)*a(n+1)+(-n^2-5*n-6)*a(n+2)+n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A105928 62.5936 [-(3+x)/(x-1) lgdegf] A105938 22.8338 [-3*(15-6*x+x^2)/(x-1)/(x^2-5*x+10) lgdogf] A105938 3.82025 [{(10*n+40)*a(n+4)+(-90-15*n)*a(n+3)+(30+6*n)*a(n+2)+(-4-n)*a(n+1),a(0)=10,a(1)=45,a(2)=126,a(3)=280} ogf] A105938 9.88489 [-(x^2-5*x+10)/(x-1)^5 ogf] A105939 5.45047 [{(-n-2)*a(n+2)+(8+n)*a(n+1),a(0)=20,a(1)=140} ogf] A105939 63.3519 [-7/(-1+x) lgdogf] A105939 7.47692 [-20/(x-1)^7 ogf] A105940 3.67900 [{(2*n+8)*a(n+4)+(-18+3*n)*a(n+3)+(-60-3*n)*a(n+2)+(-20-2*n)*a(n+1),a(0)=56,a(1)=756,a(2)=5292,a(3)=25872} ogf] A105940 5.23069 [-28*(x+2)*(2*x+1)/(x-1)^11 ogf] A105942 5.93069 [{(-n^2-19*n-88)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=84,a(1)=1470} ogf] A105943 5.48719 [{(-n^2-21*n-108)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=120,a(1)=2640} ogf] A105944 5.38102 [{(n^2+23*n+130)*a(n+1)+(-n^2-7*n-10)*a(n+2),a(0)=165,a(1)=4455} ogf] A105946 13.7141 [-12*(2+15*x+5*x^3+20*x^2)/(-1+x)/(10*x^3+30*x^2+15*x+1) lgdogf] A105946 5.99800 [-(10*x^3+30*x^2+15*x+1)/(x-1)^9 ogf] A105946 6.24182 [{(n^2+12*n+35)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=24} ogf] A105947 4.75167 [-(15*x^4+80*x^3+90*x^2+24*x+1)/(x-1)^11 ogf] A105947 6.29693 [{(n^2+14*n+48)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=35} ogf] A105948 6.07138 [{(n^2+16*n+63)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=48} ogf] A105948 8.33983 [-24*(2+35*x+7*x^5+70*x^4+175*x^3+140*x^2)/(-1+x)/(21*x^5+175*x^4+350*x^3+210*x^2+35*x+1) lgdogf] A105951 4.77877 [(189*f(x)-682)*(4*f(x)*x^4+6*f(x)*x^3+4*f(x)*x^2+16*x^3+3*f(x)*x+18*x^2+f(x)+8*x+3) ogf] A105951 7.87578 [-(1-12*x+64*x^6+144*x^5+140*x^4+48*x^3-16*x^2)/(2*x+1)/(x+1)/(2*x^2+1)/(16*x^3+18*x^2+8*x+3) lgdogf] A105951 8.65018 [-(16*x^3+18*x^2+8*x+3)/(x+1)/(2*x+1)/(2*x^2+1) ogf] A105953 5.84829 [-(5+12*x+100*x^10+120*x^9+150*x^8+120*x^7+125*x^6+144*x^5+100*x^4+48*x^3+30*x^2)/(5*x^6-1)/(19*x^6+20*x^5+12*x^4+10*x^3+6*x^2+5*x+1) lgdogf] A105953 9.26014 [-(19*x^6+20*x^5+12*x^4+10*x^3+6*x^2+5*x+1)/(5*x^6-1) ogf] A105955 9.14062 [-x*(x^8+10*x^7+2*x^6+8*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A105960 11.0331 [(-2+84*x^13-91*x^12+9*x^4-12*x^3+527*x^32-544*x^31)/(x-1)/(17*x^32+7*x^13+3*x^4+x+1) lgdogf] A105960 14.7515 [-(17*x^32+7*x^13+3*x^4+x+1)/(x-1) ogf] A105963 15.0406 [-(4*x+1)/(3*x^2+x-1) ogf] A105963 16.5840 [1/2/(4+3*x)*(-x-1+(1+18*x+13*x^2)^(1/2)) revogf] A105963 18.9531 [-(5+6*x+12*x^2)/(4*x+1)/(3*x^2+x-1) lgdogf] A105963 7.77961 [(11*f(x)+14)*(3*f(x)*x^2+f(x)*x-f(x)+4*x+1) ogf] A105963 8.25399 [{a(n+2)-a(n+1)-3*a(n),a(0)=1,a(1)=5} ogf] A105964 10.6109 [x*(x^7-x^6+x^3+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A105964 10.8372 [-x^2*(-6*x^9+9*x^6+5*x^10+7*x^4+6*x^3+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^7-x^6+x^3+1) lgdogf] A105966 5.93372 [(x^15-x^10-x^9-x^8-2*x^5-x^4-1)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A105968 11.2997 [-2*(2+x+3*x^2-x^3+x^4)/(x-1)/(2*x+1)/(x+1)/(1-4*x+x^2) lgdogf] A105968 12.1244 [-(2*x+1)*(x-1)/(x+1)/(x^2-4*x+1) ogf] A105968 6.32126 [(2998*f(x)-1293)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-x-1) ogf] A105968 6.54504 [{a(n+3)-3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A106006 7.01186 [x^2*(3*x^6+6*x^5+7*x^4+6*x^3+5*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A106053 4.22852 [f(x)^2*x^4+2*f(x)^2*x^3+f(x)*x^4-5*f(x)^2*x^2+2*f(x)*x^3-2*f(x)^2*x-5*f(x)*x^2+f(x)^2-2*f(x)*x-x^2+f(x) ogf] A106058 10.7004 [-x^3*(2*x^2-x-2)/(x-1)^4 ogf] A106058 26.4543 [-(-9+x+4*x^2)/(x-1)/(2*x^2-x-2) lgdogf] A106058 4.24707 [{(2996*n^2-322*n)*a(n+1)+(-7179*n^2-2946*n-7380)*a(n+2)+(4183*n^2-293*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A106058 6.38707 [f(x)*(f(x)*x^4+2*x^5-4*f(x)*x^3-x^4+6*f(x)*x^2-2*x^3-4*f(x)*x+f(x)) ogf] A106113 14.6046 [-(8+10*x+x^4-2*x^3-12*x^2)/(x-1)/(x^4-3*x^3-x^2+3*x+1) lgdogf] A106113 7.69307 [-x^3*(x^4-3*x^3-x^2+3*x+1)/(x-1)^5 ogf] A106150 14.9361 [-2*(11+5*x+3*x^4-16*x^2)/(x-1)/(3*x^2-x-3)/(x^2-x-1) lgdogf] A106150 6.93460 [x^4*(3*x^2-x-3)*(x^2-x-1)/(x-1)^6 ogf] A106157 11.3379 [-(-1-4*x^5+2*x^6+12*x^2-12*x^3-5*x^4)/(x-1)/(2*x-1)/(x+1)/(x^4-x^3-2*x^2-x+1) lgdogf] A106157 4.43563 [{(2*n+8)*a(n+1)+(-n-4)*a(n+2)+(-2*n-4)*a(n+3)+(n+2)*a(n+4),a(0)=-1,a(1)=-1,a(2)=-2,a(3)=-1} ogf] A106157 9.34822 [(x^4-x^3-2*x^2-x+1)/(2*x-1)/(x+1)^2/(x-1)^2 ogf] A106173 5.63719 [x^4*(x^6-6*x^5+2*x^4+11*x^3-2*x^2-6*x-1)/(x-1)^7 ogf] A106173 9.21847 [-(-13-40*x+x^6-6*x^5-24*x^4+52*x^3+23*x^2)/(x-1)/(x^6-6*x^5+2*x^4+11*x^3-2*x^2-6*x-1) lgdogf] A106174 4.95774 [{a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A106181 11.0187 [-f(x)^2*x^2-2*f(x)*x^2-f(x)*x-f(x)+x ogf] A106181 4.07905 [{(-8*n^2-8*n)*a(n)+(12*n^2+48*n+36)*a(n+1)+(-2*n^2-8*n+6)*a(n+2)+(3*n^2+21*n+30)*a(n+3),a(0)=0,a(1)=1,a(2)=-1} ogf] A106183 15.0464 [-2*(-1-2*x+12*x^2)/(2*x+1)/(2*x-1)/(-1+4*x) lgdogf] A106183 3.28294 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(4*n+12)*a(n+2)+(-40-16*n)*a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=24} ogf] A106183 8.04719 [16*f(x)^2*x^3-4*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A106184 16.3197 [-2*(-1-4*x+24*x^2)/(-1+4*x)/(8*x^2-1) lgdogf] A106184 7.51881 [32*f(x)^2*x^3-8*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A106185 16.1411 [-2*(-1-6*x+36*x^2)/(-1+4*x)/(12*x^2-1) lgdogf] A106185 7.54309 [48*f(x)^2*x^3-12*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A106186 17.7038 [-2*(1-2*x+12*x^2)/(-1+4*x)/(4*x^2+1) lgdogf] A106186 3.23490 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(-12-4*n)*a(n+2)+(40+16*n)*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=16} ogf] A106186 7.92943 [-16*f(x)^2*x^3+4*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A106188 17.8827 [-2*(-1-x+5*x^2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A106188 3.29976 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(n+4)*a(n+2)+(-14-4*n)*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=22} ogf] A106189 17.4863 [-2*(-1-2*x+10*x^2)/(-1+4*x)/(2*x^2-1) lgdogf] A106189 3.31593 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(8+2*n)*a(n+2)+(-28-8*n)*a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=24} ogf] A106191 10.1335 [f(x)^2*x^2-2*f(x)^2*x+f(x)^2+4*x-1 ogf] A106191 32.6718 [-(2*x+1)/(-1+4*x)/(x-1) lgdogf] A106191 4.52629 [{(n+3)*a(n+3)+(-9-5*n)*a(n+2)+(6+4*n)*a(n+1),a(0)=1,a(1)=-1,a(2)=-3} ogf] A106192 10.0351 [f(x)^2*x^4-2*f(x)^2*x^2+f(x)^2+4*x-1 ogf] A106192 21.2817 [-2*(1-x+3*x^2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A106192 3.39571 [{(n+4)*a(n+4)+(-10-4*n)*a(n+3)+(-4-n)*a(n+2)+(10+4*n)*a(n+1),a(0)=1,a(1)=-2,a(2)=-1,a(3)=-6} ogf] A106193 10.0843 [-4*f(x)^2*x^4+4*f(x)^2*x^2-f(x)^2-4*x+1 ogf] A106193 21.3759 [-2*(1-2*x+6*x^2)/(-1+4*x)/(2*x^2-1) lgdogf] A106193 3.42968 [{(-n-4)*a(n+4)+(10+4*n)*a(n+3)+(8+2*n)*a(n+2)+(-20-8*n)*a(n+1),a(0)=1,a(1)=-2,a(2)=0,a(3)=-8} ogf] A106201 11.6088 [-4*f(x)*x^4-f(x)*x^2+2*f(x)*x-x^2-f(x)+x ogf] A106201 17.3113 [-x*(x-1)/(4*x^4+x^2-2*x+1) ogf] A106201 20.1978 [-(-1+3*x)*(4*x^3-4*x^2-x-1)/(-1+x)/(4*x^4+x^2-2*x+1) lgdogf] A106202 11.9052 [4*f(x)*x^4+f(x)*x^2-2*x^3-2*f(x)*x+f(x) ogf] A106202 21.4293 [2*x^3/(4*x^4+x^2-2*x+1) ogf] A106202 31.0340 [-2*(-1+x+8*x^3)/(x^2+1-2*x+4*x^4) lgdogf] A106202 7.96958 [{a(n+4)-2*a(n+3)+a(n+2)+4*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A106206 25.1969 [-6+(1+144*x)*f(x) lgdogf] A106206 3.91868 [{(-n-2)*a(n+2)+(-138-144*n)*a(n+1),a(0)=1,a(1)=6} ogf] A106228 14.4950 [1/2/(x+1)*(1+x+(-(x+1)*(-1+3*x))^(1/2))*x revogf] A106228 9.4781 [f(x)^3*x-f(x)^2*x+f(x)*x-f(x)+1 ogf] A106230 10.5015 [(8*x^4-20*x^3+12*x^2+x-3)/(x-1)^3 ogf] A106230 12.9189 [2*(4-13*x+4*x^4-16*x^3+24*x^2)/(-1+x)/(8*x^4-20*x^3+12*x^2+x-3) lgdogf] A106230 5.72149 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=3,a(1)=8,a(2)=3,a(3)=8,a(4)=15} ogf] A106230 6.19116 [(347*f(x)-8281)*(f(x)*x^3-8*x^4-3*f(x)*x^2+20*x^3+3*f(x)*x-12*x^2-f(x)-x+3) ogf] A106231 13.1940 [-(19+59*x+x^3+17*x^2)/(-1+x)/(10*x^4-39*x^3+67*x^2-25*x+11) lgdogf] A106231 4.95621 [(-395723+452196*f(x))*(f(x)*x^4-4*f(x)*x^3-10*x^4+6*f(x)*x^2+39*x^3-4*f(x)*x-67*x^2+f(x)+25*x-11) ogf] A106231 8.81106 [(10*x^4-39*x^3+67*x^2-25*x+11)/(x-1)^4 ogf] A106232 11.7242 [4*(x^3-3*x^2+2*x-1)/(x-1)^3 ogf] A106232 25.1628 [(2*x+1)/(-1+x)/(x^3-3*x^2+2*x-1) lgdogf] A106232 6.12458 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=4,a(1)=4,a(2)=12,a(3)=24} ogf] A106232 8.37443 [f(x)*x^3-3*f(x)*x^2-4*x^3+3*f(x)*x+12*x^2-f(x)-8*x+4 ogf] A106233 11.2084 [-(3-14*x+25*x^2-24*x^3+9*x^4)/(x-1)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A106233 5.84425 [(23*f(x)-4)*(3*f(x)*x^4-6*f(x)*x^3+7*f(x)*x^2-4*f(x)*x+x^2+f(x)-x) ogf] A106233 9.24391 [-x*(x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A106247 10.9655 [-(x^2-x-1)^2/(x-1)^3/(x+1)^3 ogf] A106247 21.2548 [-2*(-1-x+x^3-2*x^2)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A106248 13.7048 [-(-6*x^3-6*x^2-6*x-6)/(x^5-1) ogf_with_Euler_transform] A106249 13.2432 [(x^3+x^2-x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A106249 13.6484 [-2*x*(1+x^5+2*x^4-x^3+3*x^2+2*x)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2-x+1) lgdogf] A106250 11.5278 [-x*(2+3*x^6+5*x^5-3*x^4+7*x^3+2*x^2+4*x)/(x-1)/(x^3+x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A106250 13.2203 [(x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A106251 11.8673 [(x^5+x^3+x^2-x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A106251 8.49804 [-x*(2-3*x^5+9*x^4+7*x^3+2*x^2+4*x+7*x^6+5*x^7+x^8+2*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^3+x^2-x+1) lgdogf] A106252 10.2891 [-(3+13*x+6*x^6+18*x^5+30*x^4+34*x^3+28*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^3+4*x^2+3*x+1) lgdogf] A106252 12.2109 [(3*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A106253 12.3124 [-(2+8*x+x^6+8*x^5+16*x^4+18*x^3+13*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^3+4*x^2+4*x+2) lgdogf] A106253 14.3666 [-(x^3+4*x^2+4*x+2)/(x-1)/(x+1)/(x^2+x+1) ogf] A106253 7.99430 [{a(n+4)+a(n+3)-a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=1} ogf] A106253 8.0593 [(141*f(x)-247)*(f(x)*x^4+f(x)*x^3+x^3-f(x)*x+4*x^2-f(x)+4*x+2) ogf] A106256 10.7608 [-(-3-28*x+14*x^2+4*x^3+x^4)/(x+1)/(1-4*x+x^2)/(x^2+4*x+1) lgdogf] A106256 5.69161 [-(1014*f(x)-77)*(f(x)*x^4-14*f(x)*x^2-x^3-3*x^2+f(x)-3*x-1) ogf] A106256 9.48600 [(x+1)^3/(x^2-4*x+1)/(x^2+4*x+1) ogf] A106257 5.53655 [(40560*f(x)-5621)*(f(x)*x^4-14*f(x)*x^2+5*x^3+11*x^2+f(x)-11*x-5) ogf] A106257 6.61554 [-(11+118*x+139*x^2-20*x^3+37*x^4+22*x^5+5*x^6)/(x-1)/(x^2+4*x+1)/(5*x^2+16*x+5)/(1-4*x+x^2) lgdogf] A106257 9.03759 [-(x-1)*(5*x^2+16*x+5)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A106258 24.5900 [-4*(2*x+1)/(8*x^2-1+8*x) lgdogf] A106258 3.93557 [{(n+3)*a(n+3)+(-20-8*n)*a(n+2)+(-8*n-16)*a(n+1),a(0)=1,a(1)=4,a(2)=28} ogf] A106258 9.55781 [8*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A106259 3.50574 [{(n+3)*a(n+3)+(-30-12*n)*a(n+2)+(-12*n-24)*a(n+1),a(0)=1,a(1)=6,a(2)=60} ogf] A106259 8.35984 [-12*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 ogf] A106260 14.2448 [(-8*x+(80*x^2+1)^(1/2))/(1+16*x^2)*x revogf] A106260 19.7235 [-8*(1+2*x)/(16*x^2-1+16*x) lgdogf] A106260 3.35990 [{(n+3)*a(n+3)+(-40-16*n)*a(n+2)+(-16*n-32)*a(n+1),a(0)=1,a(1)=8,a(2)=104} ogf] A106260 8.06376 [-16*f(x)^2*x^2-16*f(x)^2*x+f(x)^2-1 ogf] A106261 14.4643 [(-10*x+(120*x^2+1)^(1/2))/(1+20*x^2)*x revogf] A106261 20.3571 [-10*(2*x+1)/(20*x^2-1+20*x) lgdogf] A106261 3.57310 [{(n+3)*a(n+3)+(-50-20*n)*a(n+2)+(-20*n-40)*a(n+1),a(0)=1,a(1)=10,a(2)=160} ogf] A106261 8.6304 [-20*f(x)^2*x^2-20*f(x)^2*x+f(x)^2-1 ogf] A106271 16.2688 [-1/2*(-1-5*x-2*x^2+(1-6*x-3*x^2)^(1/2))/(x+2)^2 revogf] A106271 5.9156 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x-4*f(x)*x^2+5*f(x)*x-f(x)-4*x+1 ogf] A106318 5.27863 [-2*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A106318 8.24581 [-2*(32+473*x+x^5+88*x^4+718*x^3+1208*x^2)/(x-1)/(x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A106328 13.1431 [-f(x)*x^2+6*f(x)*x-f(x)+3*x ogf] A106328 14.6645 [-1/2*(-3-6*x+(4*x+3)^(1/2)*(8*x+3)^(1/2))/x revogf] A106328 20.9579 [3*x/(x^2-6*x+1) ogf] A106328 31.5286 [-2*(x-3)/(1-6*x+x^2) lgdogf] A106328 9.57338 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A106329 16.4439 [-3*(3*x-1)/(x^2-6*x+1) ogf] A106329 20.2065 [-1/2*(-3-6*x+(9+32*x^2)^(1/2))/(x+9) revogf] A106329 20.7838 [-(3-2*x+3*x^2)/(-1+3*x)/(x^2-6*x+1) lgdogf] A106329 7.95674 [-(280*f(x)-597)*(f(x)*x^2-6*f(x)*x+f(x)+9*x-3) ogf] A106329 9.02410 [{a(n+2)-6*a(n+1)+a(n),a(0)=3,a(1)=9} ogf] A106330 6.30651 [-(7+22*x+75*x^8+75*x^6-30*x^5+96*x^7+75*x^4+96*x^3+22*x^9+7*x^10+75*x^2)/(7*x^5+11*x^4+25*x^3-11*x^2-7*x-5)/(x^6-10*x^3+1) lgdogf] A106330 9.21479 [-(7*x^5+11*x^4+25*x^3-11*x^2-7*x-5)/(x^6-10*x^3+1) ogf] A106331 6.66398 [-2*(-1-5*x-25*x^4-22*x^3+x^9+3*x^8+10*x^7+10*x^6+3*x^5-18*x^2)/(x^4+2*x^3+5*x^2+2*x+1)/(x^6-10*x^3+1) lgdogf] A106331 8.76108 [x*(x^4+2*x^3+5*x^2+2*x+1)/(x^6-10*x^3+1) ogf] A106336 5.92395 [x*(x-1)*(1+x+x^2)*(x^4+x^3+x^2+x+1)*(x^7-x^3-1)/(x+1)/(x^14-x^11-x^10-2*x^9-2*x^8-x^7+x^5+x^4+2*x^3+x^2+x+1) revogf] A106352 10.6734 [-(4*x^2+x+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A106352 11.3517 [-(2+14*x+16*x^5+25*x^4+28*x^3+23*x^2)/(x-1)/(x+1)/(x^2+x+1)/(4*x^2+x+1) lgdogf] A106353 6.26563 [-(3+14*x+99*x^6+114*x^5+33*x^2+72*x^3+95*x^4+42*x^8+80*x^7+24*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(4*x^4+2*x^3+3*x^2+2*x+1) lgdogf] A106353 7.64258 [2*(4*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A106354 4.17004 [-(16*x^8+12*x^7+21*x^6+22*x^5+23*x^4+12*x^3+11*x^2+2*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A106387 13.6598 [(5*x^2+2*x+4)/(x+1)/(x-1)^2 ogf] A106387 17.3861 [-(6+24*x+5*x^3+9*x^2)/(x-1)/(x+1)/(5*x^2+2*x+4) lgdogf] A106387 7.06142 [(3047*f(x)+45007)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-2*x-4) ogf] A106387 7.37387 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=6,a(2)=15} ogf] A106388 8.42883 [-(11*x^4+12*x^3+86*x^2+12*x+11)/(x+1)^2/(x-1)^3 ogf] A106388 9.54205 [-(23+239*x+11*x^5+35*x^4+314*x^3+170*x^2)/(-1+x)/(x+1)/(11*x^4+12*x^3+86*x^2+12*x+11) lgdogf] A106389 13.3793 [(2*x^2+10*x+1)/(x+1)/(x-1)^2 ogf] A106389 16.2698 [-(11+17*x+2*x^3+22*x^2)/(x-1)/(x+1)/(2*x^2+10*x+1) lgdogf] A106389 6.85552 [(10855*f(x)+163089)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-10*x-1) ogf] A106389 7.27646 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=14} ogf] A106390 8.03100 [-(x^4+60*x^3+34*x^2+60*x+1)/(x+1)^2/(x-1)^3 ogf] A106390 9.69513 [-(61+133*x+x^5+121*x^4+166*x^3+454*x^2)/(x-1)/(x+1)/(x^4+60*x^3+34*x^2+60*x+1) lgdogf] A106392 23.3254 [1/(10*x^2-6*x+1) ogf] A106392 30.1132 [-2*(-3+10*x)/(10*x^2+1-6*x) lgdogf] A106392 9.55499 [{-a(n+2)+6*a(n+1)-10*a(n),a(0)=1,a(1)=6} ogf] A106392 9.67152 [(4*f(x)+5)*(10*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A106393 22.0588 [1/(17*x^2-8*x+1) ogf] A106393 28.8507 [-2*(-4+17*x)/(17*x^2+1-8*x) lgdogf] A106393 8.92855 [(15*f(x)+17)*(17*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A106393 9.03613 [{-a(n+2)+8*a(n+1)-17*a(n),a(0)=1,a(1)=8} ogf] A106401 6.55989 [-(-4*x^8-3*x^7-3*x^6-x^5-3*x^4-3*x^3-x^2-3*x-3)/(x^9-1) ogf_with_Euler_transform] A106402 18.4300 [-(-6*x-3)/(x^2+x+1) ogf_with_Euler_transform] A106406 3.72196 [-(-2*x^14-2*x^13-2*x^12-x^11-2*x^10-x^9-x^8-2*x^7-2*x^6-x^5-x^4-2*x^3-x^2-2*x-2)/(x^15-1) ogf_with_Euler_transform] A106434 12.7365 [-2*f(x)*x^2-3*f(x)*x+f(x)-2*x ogf] A106434 20.3095 [-2*x/(2*x^2+3*x-1) ogf] A106434 20.5990 [1/4/x*(-3*x-2+(17*x^2+12*x+4)^(1/2)) revogf] A106434 33.7075 [-(4*x+3)/(2*x^2-1+3*x) lgdogf] A106434 9.27719 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=0,a(1)=2} ogf] A106435 10.4499 [-3*f(x)*x^2-3*f(x)*x+f(x)-3*x ogf] A106435 14.4526 [1/6*(-3*x-3+(3+6*x+7*x^2)^(1/2)*3^(1/2))/x revogf] A106435 16.6633 [-3*x/(3*x^2+3*x-1) ogf] A106435 25.2920 [-3*(2*x+1)/(3*x^2-1+3*x) lgdogf] A106435 7.61163 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=0,a(1)=3} ogf] A106438 10.1252 [x*(2*x^2+5*x-2)/(x^2-3*x+1)/(x^2+3*x-1) ogf] A106438 5.57742 [(205*f(x)+33)*(f(x)*x^4-9*f(x)*x^2-2*x^3+6*f(x)*x-5*x^2-f(x)+2*x) ogf] A106438 8.76165 [-(-7+40*x+4*x^5+15*x^4-8*x^3-57*x^2)/(x^2-3*x+1)/(x^2+3*x-1)/(2*x^2+5*x-2) lgdogf] A106440 13.2859 [-30*(1+6*x+2*x^2)/(-1+4*x)/(6*x^2+12*x+1) lgdogf] A106450 9.27372 [(x^6+3*x^5+x^4-2*x^3-2*x^2+3*x+2)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A106459 10.6909 [-(x^3+x^2+1)/(-x^4+1) ogf_with_Euler_transform] A106459 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(1/4)*2^(1/4)/GAMMA(3/4) A106466 12.3946 [(x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A106466 12.7193 [-(1+4*x+4*x^5+2*x^2+8*x^3+5*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A106466 19.5845 [1+x-1/2*x^2+1/6*x^3 egf]_with_Euler_transform] A106469 10.2304 [-(f(x)-1)*(f(x)*x^2+2*x^3+x^2-f(x)+2*x+1) ogf] A106469 15.6149 [-(2*x+1)*(x^2+1)/(x-1)/(x+1) ogf] A106469 18.1623 [2*(-1-2*x-4*x^2+x^4)/(x-1)/(2*x+1)/(x+1)/(x^2+1) lgdogf] A106469 9.27133 [{-a(n+4)+a(n+2),a(0)=1,a(1)=2,a(2)=2,a(3)=4} ogf] A106472 12.7835 [(x+1)*(x-1)^2/(2*x-1)^2 ogf] A106472 21.6141 [(3-x+2*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A106472 6.78080 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=3,a(2)=7,a(3)=17} ogf] A106472 7.64501 [(3*f(x)+61)*(4*f(x)*x^2-x^3-4*f(x)*x+x^2+f(x)+x-1) ogf] A106505 6.68187 [(7+11*x+x^11-x^10-5*x^9-x^8+3*x^7+x^6+7*x^5+23*x^4+19*x^3+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^7+x^6+3*x^5-2*x^4-2*x^3-2*x^2-2*x-5) lgdogf] A106505 8.70079 [-(x^7+x^6+3*x^5-2*x^4-2*x^3-2*x^2-2*x-5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A106507 29.2611 [-1/(x+1) ogf_with_Euler_transform] A106507 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)/Pi^(1/4)*2^(5/8)*GAMMA(3/4) A106508 13.1178 [-(-4*x^3+4*x^2-6*x+4)/(x^4-1) ogf_with_Euler_transform] A106508 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/3*Pi)*Pi*2^(1/4)/GAMMA(3/4)^4 A106510 11.7332 [f(x)*x^2+f(x)*x-x^2+f(x)-2*x-1 ogf] A106510 15.7181 [(x+1)^2/(x^2+x+1) ogf] A106510 33.2538 [x^2-2*x+1 ogf_with_Euler_transform] A106510 51.6166 [-(x-1)/(x+1)/(x^2+x+1) lgdogf] A106510 8.16725 [{a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=-1} ogf] A106511 12.3583 [-(x+1)^2/(x^2+x+1)/(x^2-x-1) ogf] A106511 21.4996 [-2*x^3*(x+2)/(x+1)/(x^2+x+1)/(x^2-x-1) lgdogf] A106511 8.47028 [-f(x)*x^4+f(x)*x^2+2*f(x)*x-x^2+f(x)-2*x-1 ogf] A106514 12.6372 [-(x-1)/(2*x-1)/(x^2+2*x-1) ogf] A106514 14.2705 [-(3-6*x+4*x^3-3*x^2)/(2*x-1)/(x-1)/(x^2+2*x-1) lgdogf] A106514 5.98011 [{a(n+3)-4*a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A106514 6.37879 [(193*f(x)-4)*(2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A106515 12.9609 [-(x-1)/(x^2+x-1)/(x^2+2*x-1) ogf] A106515 13.4692 [-(2+3*x^4+2*x^3-9*x^2)/(x-1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A106515 6.2448 [-(106*f(x)+29)*(f(x)*x^4+3*f(x)*x^3-3*f(x)*x+f(x)+x-1) ogf] A106517 12.2947 [-(x-1)/(3*x-1)/(x^2+x-1) ogf] A106517 13.5870 [-(2*x-1)*(3*x^2-2*x-3)/(x-1)/(-1+3*x)/(x^2+x-1) lgdogf] A106517 5.76655 [{-a(n+3)+4*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A106517 6.2059 [(65*f(x)-93)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A106521 5.50236 [2*(2*x^4+x^3-29*x^2-10*x-9)/(x-1)/(x^4-20*x^2+1) ogf] A106523 11.0269 [-(-1-6*x+4*x^5+5*x^4-2*x^3-6*x^2)/(x+1)/(x^2-x-1)/(x^3+x^2+x-1) lgdogf] A106523 12.4351 [(x+1)/(x^2-x-1)/(x^3+x^2+x-1) ogf] A106525 6.10338 [-(11+42*x-x^6-54*x^5+91*x^4+96*x^3+7*x^10+18*x^9+33*x^8+129*x^2)/(x^6-6*x^3+1)/(7*x^5+9*x^4+11*x^3-21*x^2-11*x-9) lgdogf] A106525 8.37554 [-(7*x^5+9*x^4+11*x^3-21*x^2-11*x-9)/(x^6-6*x^3+1) ogf] A106526 6.85854 [-(-3-14*x+27*x^6+12*x^5-42*x^4-44*x^3+4*x^9+9*x^8+28*x^7-45*x^2)/(2*x^4+3*x^3+7*x^2+3*x+2)/(x^6-6*x^3+1) lgdogf] A106526 9.82803 [2*(2*x^4+3*x^3+7*x^2+3*x+2)/(x^6-6*x^3+1) ogf] A106527 5.56639 [-(33+102*x-51*x^6-114*x^5+221*x^4+320*x^3+17*x^10+38*x^9+99*x^8+243*x^2)/(x^6-6*x^3+1)/(17*x^5+19*x^4+33*x^3-51*x^2-33*x-19) lgdogf] A106527 8.09159 [-(17*x^5+19*x^4+33*x^3-51*x^2-33*x-19)/(x^6-6*x^3+1) ogf] A106528 9.57638 [2*(3*x^4+10*x^3+17*x^2+10*x+3)/(x^6-6*x^3+1) ogf] A106540 11.0627 [-(x-1)^2/(2*x^3-5*x^2+3*x-1) ogf] A106540 15.2507 [-(-1+7*x+2*x^3-6*x^2)/(x-1)/(2*x^3-5*x^2+3*x-1) lgdogf] A106540 5.71886 [-(121*f(x)+19)*(2*f(x)*x^3-5*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A106540 6.02523 [{a(n+3)-3*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A106541 11.6932 [-2*(x-1)^2/(2*x^3-5*x^2+3*x-1) ogf] A106541 15.7343 [-(-1+7*x+2*x^3-6*x^2)/(-1+x)/(2*x^3-5*x^2+3*x-1) lgdogf] A106541 6.04481 [-(121*f(x)+38)*(2*f(x)*x^3-5*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-4*x+2) ogf] A106541 6.36864 [{a(n+3)-3*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=2,a(2)=-2} ogf] A106542 11.9799 [-3*(x-1)^2/(2*x^3-5*x^2+3*x-1) ogf] A106542 6.41026 [(121*f(x)+57)*(2*f(x)*x^3-5*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-6*x+3) ogf] A106542 6.52474 [{a(n+3)-3*a(n+2)+5*a(n+1)-2*a(n),a(0)=3,a(1)=3,a(2)=-3} ogf] A106565 13.1468 [1/10*(-5*x-5+(5+10*x+9*x^2)^(1/2)*5^(1/2))/x revogf] A106565 15.8809 [-5*x/(5*x^2+5*x-1) ogf] A106565 24.1025 [-5*(2*x+1)/(5*x^2-1+5*x) lgdogf] A106565 7.25422 [{-a(n+2)+5*a(n+1)+5*a(n),a(0)=0,a(1)=5} ogf] A106565 9.9592 [-5*f(x)*x^2-5*f(x)*x+f(x)-5*x ogf] A106567 11.9042 [-4*f(x)*x^2-5*f(x)*x+f(x)-4*x ogf] A106567 15.3049 [1/8/x*(-5*x-4+(41*x^2+40*x+16)^(1/2)) revogf] A106567 18.9824 [-4*x/(4*x^2+5*x-1) ogf] A106567 25.7400 [-(5+8*x)/(4*x^2-1+5*x) lgdogf] A106567 8.67099 [{-a(n+2)+5*a(n+1)+4*a(n),a(0)=0,a(1)=4} ogf] A106568 10.0066 [-4*f(x)*x^2-4*f(x)*x+f(x)-4*x ogf] A106568 15.9565 [-4*x/(4*x^2+4*x-1) ogf] A106568 18.1599 [1/2*(-1-x+(1+2*x+2*x^2)^(1/2))/x revogf] A106568 24.2131 [-4*(2*x+1)/(4*x^2-1+4*x) lgdogf] A106568 7.28875 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=0,a(1)=4} ogf] A106569 15.1403 [-3*x/(3*x^2+5*x-1) ogf] A106569 15.3072 [1/6/x*(-5*x-3+(37*x^2+30*x+9)^(1/2)) revogf] A106569 25.0481 [-(5+6*x)/(3*x^2-1+5*x) lgdogf] A106569 6.91595 [{-a(n+2)+5*a(n+1)+3*a(n),a(0)=0,a(1)=3} ogf] A106569 9.49478 [-3*f(x)*x^2-5*f(x)*x+f(x)-3*x ogf] A106570 10.7351 [-3*f(x)*x^2-4*f(x)*x+f(x)-3*x ogf] A106570 17.1181 [-3*x/(3*x^2+4*x-1) ogf] A106570 17.3323 [1/6/x*(-4*x-3+(28*x^2+24*x+9)^(1/2)) revogf] A106570 25.9984 [-2*(3*x+2)/(3*x^2-1+4*x) lgdogf] A106570 7.81937 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=0,a(1)=3} ogf] A106576 5.55738 [-(8*x^17+9*x^16+4*x^13+7*x^12+5*x^8+6*x^5+3*x^4+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^8-x^6+x^4-x^2+1) ogf] A106586 6.31397 [-(x^8+2*x^7+7*x^6-2*x^5+9*x^4-2*x^3+7*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A106603 17.5598 [(3*x+1)/(8*x^3+2*x+1) ogf] A106603 20.3718 [-(-1+24*x^2+48*x^3)/(3*x+1)/(8*x^3+2*x+1) lgdogf] A106603 8.40627 [{a(n+3)+2*a(n+2)+8*a(n),a(0)=1,a(1)=1,a(2)=-2} ogf] A106603 9.18823 [(13*f(x)-7)*(8*f(x)*x^3+2*f(x)*x+f(x)-3*x-1) ogf] A106607 13.6382 [-(1+4*x+3*x^5-2*x^4+7*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A106607 20.9058 [-2*x^5+x^3+2*x^2+2*x+1 ogf_with_Euler_transform] A106607 7.90248 [(x^2-x+1)^2/(x^2+1)/(x+1)/(x-1)^4 ogf] A106608 6.39671 [x*(x^12+2*x^11+3*x^10+4*x^9+5*x^8+6*x^7+x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A106609 5.79818 [x*(x^2-x+1)*(x^12+2*x^11+4*x^10+3*x^9+4*x^8+4*x^7+7*x^6+4*x^5+4*x^4+3*x^3+4*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A106610 5.14666 [x*(x^14+3*x^13+3*x^12+4*x^11+6*x^10+4*x^9+5*x^8+9*x^7+5*x^6+4*x^5+6*x^4+4*x^3+3*x^2+3*x+1)*(x^2-x+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A106624 10.8475 [-x*(-4+2*x^5-4*x^4+3*x^3+8*x^2-3*x)/(x-1)/(x+1)/(2*x^2-1)/(x^3-x^2+1) lgdogf] A106624 12.4551 [(x^3-x^2+1)/(x-1)/(x+1)/(2*x^2-1) ogf] A106624 7.44865 [-(4*f(x)-19)*(2*f(x)*x^4-3*f(x)*x^2-x^3+x^2+f(x)-1) ogf] A106632 12.7439 [-(3*x-1)*(243*x^3+81*x^2+45*x-1)/(3*x+1)/(27*x^2+1)/(9*x^2-2*x+1) lgdogf] A106632 13.4121 [-(27*x^2+1)/(3*x+1)/(9*x^2-2*x+1) ogf] A106632 6.76337 [-(139*f(x)+603)*(27*f(x)*x^3+3*f(x)*x^2+f(x)*x+27*x^2+f(x)+1) ogf] A106632 6.94137 [{a(n+3)+a(n+2)+3*a(n+1)+27*a(n),a(0)=-1,a(1)=1,a(2)=-25} ogf] A106637 7.59818 [(x^9+2*x^8+x^7+x^6+2*x^5+3*x^4+3*x^3+2*x^2+x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A106646 2.46452 [(f(x)-1)^2 ogf] A106648 13.5071 [-(5*x^2-7*x+8)/(x-1)^3 ogf] A106648 23.1009 [-(17-4*x+5*x^2)/(x-1)/(5*x^2-7*x+8) lgdogf] A106648 7.16462 [(628*f(x)+511)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-7*x+8) ogf] A106648 7.22747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=17,a(2)=32} ogf] A106664 13.2770 [(x^2-3*x+1)/(x-1)/(x+1)/(2*x^2-2*x+1) ogf] A106664 14.1318 [-(-1+4*x^5-5*x^2+20*x^3-20*x^4)/(x-1)/(x+1)/(x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A106664 6.78604 [-(10*f(x)-19)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x^2+2*f(x)*x-x^2-f(x)+3*x-1) ogf] A106666 10.5681 [-(2*x^3-4*x^2+1)/(x-1)/(2*x^3-2*x^2-2*x+1) ogf] A106666 5.77251 [(161*f(x)+178)*(2*f(x)*x^4-4*f(x)*x^3+2*x^3+3*f(x)*x-4*x^2-f(x)+1) ogf] A106666 8.21293 [-(3-8*x+4*x^6-16*x^5+16*x^4-4*x^3+6*x^2)/(x-1)/(2*x^3-4*x^2+1)/(2*x^3-2*x^2-2*x+1) lgdogf] A106691 10.5793 [-(-3-2*x+6*x^5+4*x^6+18*x^2+12*x^3-11*x^4)/(x-1)/(1+2*x)/(x+1)/(x^4+x^3-2*x^2+x+1) lgdogf] A106691 8.13154 [(x^4+x^3-2*x^2+x+1)/(x-1)^2/(2*x+1)^2/(x+1)^2 ogf] A106706 9.84138 [-(19*x^5+25*x^4+35*x^3-11*x^2-14*x-19)/(x-1)/(2*x^3-1)/(x^2+x+1) ogf] A106707 11.8727 [-f(x)*x^2+4*f(x)*x-f(x)-x ogf] A106707 17.5493 [-1/2*(-4*x+1+(-1+2*x)^(1/2)*(6*x-1)^(1/2))/x revogf] A106707 18.9322 [-x/(x^2-4*x+1) ogf] A106707 38.6085 [-2*(x-2)/(x^2+1-4*x) lgdogf] A106707 8.64805 [{a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=-1} ogf] A106709 11.4194 [-2*f(x)*x^2+5*f(x)*x-f(x)-2*x ogf] A106709 16.6096 [-2*x/(2*x^2-5*x+1) ogf] A106709 18.7258 [1/4/x*(-2+5*x+(4-20*x+17*x^2)^(1/2)) revogf] A106709 29.3100 [-(-5+4*x)/(2*x^2+1-5*x) lgdogf] A106709 7.58711 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=0,a(1)=-2} ogf] A106710 10.4784 [-650*f(x)*x^2+51*f(x)*x-f(x)+26*x ogf] A106710 16.1009 [26*x/(26*x-1)/(25*x-1) ogf] A106710 7.76633 [{a(n+2)-51*a(n+1)+650*a(n),a(0)=0,a(1)=26} ogf] A106729 15.0876 [-5*(x-1)/(x^2-3*x+1) ogf] A106729 16.2380 [-1/2*(-5-3*x+(25+10*x+5*x^2)^(1/2))/(5+x) revogf] A106729 21.4761 [-(2-2*x+x^2)/(-1+x)/(x^2-3*x+1) lgdogf] A106729 7.46091 [-(21*f(x)-25)*(f(x)*x^2-3*f(x)*x+f(x)+5*x-5) ogf] A106729 8.18004 [{a(n+2)-3*a(n+1)+a(n),a(0)=5,a(1)=10} ogf] A106731 11.6518 [-2*f(x)*x^2+4*f(x)*x-f(x)-2*x ogf] A106731 18.5800 [-2*x/(2*x^2-4*x+1) ogf] A106731 22.3276 [1/2*(-1+2*x+(1-4*x+2*x^2)^(1/2))/x revogf] A106731 8.48715 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=0,a(1)=-2} ogf] A106732 10.3631 [-3*f(x)*x^2+5*f(x)*x-f(x)-3*x ogf] A106732 16.5249 [-3*x/(3*x^2-5*x+1) ogf] A106732 18.6387 [1/6/x*(-3+5*x+(9-30*x+13*x^2)^(1/2)) revogf] A106732 29.1737 [-(-5+6*x)/(3*x^2+1-5*x) lgdogf] A106732 7.54841 [{a(n+2)-5*a(n+1)+3*a(n),a(0)=0,a(1)=-3} ogf] A106734 15.1319 [-(-1-21*x+7*x^3-9*x^2)/(x-1)/(7*x^3-15*x^2+3*x-1) lgdogf] A106734 3.98011 [{(27*n^2+163*n+218)*a(n+1)+(-62*n^2-328*n-374)*a(n+2)+(35*n^2+141*n+108)*a(n+3),a(0)=1,a(1)=1,a(2)=13} ogf] A106734 5.17959 [-(62*f(x)+1423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+7*x^3-4*f(x)*x-15*x^2+f(x)+3*x-1) ogf] A106734 9.69513 [-(7*x^3-15*x^2+3*x-1)/(x-1)^4 ogf] A106746 6.83893 [-(50*x^22-50*x^20+49*x^12-50*x^10+4*x^2-5)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A106747 8.37814 [x^2*(6*x^10-5*x^8+1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A106789 6.08370 [-2*(5*x^5+x^4+18*x^3-4*x^2+5*x-5)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A106791 3.67353 [-(17*x^9+2*x^8-32*x^7+46*x^6-21*x^5-143*x^4+16*x^3-30*x^2-24*x+17)/(x^4+x^3-3*x^2-3*x+1)/(x^6-x^5+2*x^4-2*x^3-2*x^2-x-1) ogf] A106793 29.6830 [(1+27*x)^(1/27)-1 revegf] A106793 36.0437 [-26+(x+1)*f(x) lgdegf] A106793 5.73002 [{(-n+25)*a(n+1)-a(n+2),a(0)=1,a(1)=26} ogf] A106803 11.7479 [-x*(x-1)/(x^3-x^2-2*x+1) ogf] A106803 15.6982 [-(1+2*x-4*x^2+2*x^3)/(x-1)/(x^3-x^2-2*x+1) lgdogf] A106803 6.03268 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A106803 6.2582 [(f(x)+1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A106804 5.0033 [(11*f(x)-5)*(f(x)*x^4-25*f(x)*x^2-4*x^3+10*f(x)*x-9*x^2-f(x)+2*x) ogf] A106804 7.54695 [-(-11+108*x-265*x^2-8*x^3+27*x^4+8*x^5)/(4*x^2+9*x-2)/(x^2+5*x-1)/(x^2-5*x+1) lgdogf] A106804 8.81178 [x*(4*x^2+9*x-2)/(x^2-5*x+1)/(x^2+5*x-1) ogf] A106805 21.1691 [1/(x^3-x^2-2*x+1) ogf] A106805 24.0436 [-(-2-2*x+3*x^2)/(-x^2+1-2*x+x^3) lgdogf] A106805 6.99337 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A106805 7.91168 [(2*f(x)+1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A106832 10.9125 [2*(x^2+3*x+1)/(x+1)^2/(x-1)^2 ogf] A106832 13.4747 [-(3+6*x+2*x^3+9*x^2)/(-1+x)/(x+1)/(1+3*x+x^2) lgdogf] A106832 5.36216 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=2,a(1)=6,a(2)=6} ogf] A106832 6.61715 [(7*f(x)-23)*(f(x)*x^4-2*f(x)*x^2-2*x^2+f(x)-6*x-2) ogf] A106833 14.5684 [(3*x^2+4*x+3)/(x+1)^2/(x-1)^2 ogf] A106833 16.6113 [-2*(2+9*x+3*x^3+6*x^2)/(-1+x)/(x+1)/(3+3*x^2+4*x) lgdogf] A106833 7.15859 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=3,a(1)=4,a(2)=9} ogf] A106833 8.74102 [(42*f(x)+53)*(f(x)*x^4-2*f(x)*x^2-3*x^2+f(x)-4*x-3) ogf] A106835 4.86778 [-(1618*f(x)+733)*(4*f(x)*x^4-25*f(x)*x^2-6*x^3+10*f(x)*x-18*x^2-f(x)+4*x) ogf] A106835 7.24922 [-(-11+106*x+24*x^5+108*x^4-32*x^3-255*x^2)/(3*x^2+9*x-2)/(2*x^2-5*x+1)/(2*x^2+5*x-1) lgdogf] A106835 9.09129 [2*x*(3*x^2+9*x-2)/(2*x^2+5*x-1)/(2*x^2-5*x+1) ogf] A106839 18.0389 [(5*x+11)/(x-1)^2 ogf] A106839 21.4187 [-1/2*(-11-2*x+(121+64*x)^(1/2))/(-5+x) revogf] A106839 33.9129 [-(27+5*x)/(5*x+11)/(x-1) lgdogf] A106839 9.32349 [(32*f(x)+377)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-11) ogf] A106839 9.87846 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=27} ogf] A106845 14.2083 [-2*(7+23*x+9*x^2+5*x^3+x^4)/(x-1)/(x^4+2*x^3+3*x^2+8*x+1) lgdogf] A106845 7.59839 [x*(x^4+2*x^3+3*x^2+8*x+1)/(x-1)^6 ogf] A106850 4.56678 [-(821*f(x)+857)*(9*f(x)*x^4-25*f(x)*x^2-6*x^3+10*f(x)*x-27*x^2-f(x)+6*x) ogf] A106850 6.74144 [-(-11+104*x-245*x^2-72*x^3+243*x^4+36*x^5)/(3*x^2+5*x-1)/(3*x^2-5*x+1)/(2*x^2+9*x-2) lgdogf] A106850 8.46197 [3*x*(2*x^2+9*x-2)/(3*x^2-5*x+1)/(3*x^2+5*x-1) ogf] A106851 5.34972 [(708*f(x)-115)*(f(x)*x^4-16*f(x)*x^2-3*x^3+8*f(x)*x-7*x^2-f(x)+2*x) ogf] A106851 8.43243 [-(-9+70*x+6*x^5+21*x^4-8*x^3-136*x^2)/(x^2-4*x+1)/(3*x^2+7*x-2)/(x^2+4*x-1) lgdogf] A106851 9.72676 [x*(3*x^2+7*x-2)/(x^2-4*x+1)/(x^2+4*x-1) ogf] A106852 10.2758 [{a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A106852 11.5427 [f(x)*(3*f(x)*x^2-f(x)*x+f(x)-1) ogf] A106852 29.0558 [1/(3*x^2-x+1) ogf] A106852 44.6954 [-(6*x-1)/(3*x^2+1-x) lgdogf] A106853 24.5961 [1/(4*x^2-x+1) ogf] A106853 36.1306 [-(-1+8*x)/(4*x^2+1-x) lgdogf] A106853 8.69863 [{a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A106853 8.80602 [(5*f(x)-4)*(4*f(x)*x^2-f(x)*x+f(x)-1) ogf] A106854 10.1117 [(11*f(x)-10)*(5*f(x)*x^2-f(x)*x+f(x)-1) ogf] A106854 10.2350 [{a(n+2)-a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A106854 28.9405 [1/(5*x^2-x+1) ogf] A106854 40.0723 [-(-1+10*x)/(5*x^2+1-x) lgdogf] A106855 14.6025 [3*f(x)*x^3-f(x)*x^2+f(x)-1 ogf] A106855 23.2851 [1/(3*x^3-x^2+1) ogf] A106855 36.8386 [-x*(-2+9*x)/(1-x^2+3*x^3) lgdogf] A106855 9.26396 [{-a(n+3)+a(n+1)-3*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A107025 5.83704 [-(x-1)^5/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf] A107025 7.75666 [-(1-6*x+x^6+15*x^2-20*x^3+20*x^4-6*x^5)/(x-1)/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) lgdogf] A107033 14.4221 [-(-2*x^3+3*x^2-5*x+3)/(x^4-1) ogf_with_Euler_transform] A107033 99.9999 Evaluated at exp(-Pi) 99/256*GAMMA(7/12)^(17/4)*exp(1/24*Pi)/GAMMA(11/12)^(25/4)*(3^(1/2)+19/11)*2^(1/8)*GAMMA(2/3)^(21/2)/(2^(1/2)*(3^(1/2)-1))^(1/4)/Pi^(19/4)*3^(3/8) A107034 10.0892 [-(-2*x^3-x^2-x-1)/(x^4-1) ogf_with_Euler_transform] A107035 99.9999 Evaluated at exp(-Pi) -1/16*exp(Pi)*2^(1/2)*(2^(1/2)-2) A107063 12.8672 [-(-2*x^5+x^4-3*x^2+1)/(x^6-1) ogf_with_Euler_transform] A107064 10.9042 [-(-2*x^3+x^2+x-1)/(x^4-x^3+x-1) ogf_with_Euler_transform] A107066 22.7542 [-(-2+5*x^4)/(x-1)/(x^4+x^3+x^2+x-1) lgdogf] A107066 24.5642 [1/(x-1)/(x^4+x^3+x^2+x-1) ogf] A107068 17.5388 [-1/(x^4-x^3-3*x^2-3*x-1) ogf] A107068 20.6807 [-(-3-6*x-3*x^2+4*x^3)/(-3*x^2-1-3*x+x^4-x^3) lgdogf] A107068 7.28304 [(17*f(x)-1)*(f(x)*x^4-f(x)*x^3-3*f(x)*x^2-3*f(x)*x-f(x)+1) ogf] A107075 3.43777 [(16409908899*f(x)-5855486)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+x^2-f(x)-142*x+1) ogf] A107075 3.74773 [{-a(n+3)+323*a(n+2)-323*a(n+1)+a(n),a(0)=1,a(1)=181,a(2)=58141} ogf] A107075 6.82422 [-(x^2-142*x+1)/(x-1)/(x^2-322*x+1) ogf] A107080 99.9999 Evaluated at exp(-Pi) 40*exp(-Pi) A107103 12.5714 [3+12*x-4*x^2+(-8-16*x)*f(x)+(-4*x^2-3-10*x+8*x^3)*f(x)^2 lgdegf] A107103 3.14689 [{(-3*n-9)*a(n+1)+(6*n^2+29*n+43)*a(n+2)+(-4*n^2-27*n-51)*a(n+3)+(-2*n-8)*a(n+4),a(0)=1,a(1)=-3,a(2)=12,a(3)=-67} ogf] A107104 32.3888 [-4+(1-2*x)*f(x)^2 lgdegf] A107118 10.3147 [-(x^2-16*x+1)/(x-1)/(x^2-34*x+1) ogf] A107118 5.36698 [(1980873*f(x)-1652)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)-16*x+1) ogf] A107118 5.64221 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=19,a(2)=631} ogf] A107118 9.22682 [-(19-68*x+x^4-32*x^3+528*x^2)/(x-1)/(x^2-34*x+1)/(x^2-16*x+1) lgdogf] A107229 5.80725 [(1+2*x+96*x^7+480*x^8+5*x^2-6*x^3+3*x^4-56*x^5-190*x^6+600*x^9)/(5*x^3+2*x^2-1)/(30*x^7+12*x^6+4*x^4+4*x^3+x^2-x-1) lgdogf] A107229 7.49252 [(30*x^7+12*x^6+4*x^4+4*x^3+x^2-x-1)/(5*x^3+2*x^2-1) ogf] A107231 17.7226 [-3*(1+6*x+4*x^2)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A107231 3.57776 [{(-n-4)*a(n+4)-n*a(n+3)+(26+4*n)*a(n+2)+(16+4*n)*a(n+1),a(0)=1,a(1)=3,a(2)=12,a(3)=30} ogf] A107232 5.84616 [2*f(x)^2*x^4-f(x)^2*x^3+4*f(x)*x^3+4*f(x)*x^2-f(x)*x+4*x^2-f(x)+4*x+1 ogf] A107233 3.68464 [{(-3-n)*a(n+4)-4*n*a(n+3)+(32+4*n)*a(n+2)+(32+16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=30} ogf] A107234 15.1649 [-(-x^2-x-1)/(-x^5+1) ogf_with_Euler_transform] A107235 16.2868 [-(-x^3-x-1)/(-x^5+1) ogf_with_Euler_transform] A107236 14.3933 [-(x^3+x^2+1)/(x^5-1) ogf_with_Euler_transform] A107237 13.3599 [-(x^3+x^2+x)/(x^5-1) ogf_with_Euler_transform] A107239 5.89623 [x^2*(x^3+x^2+x-1)/(x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A107239 6.05807 [-2*(-1+2*x^7-4*x^2+14*x^3-12*x^4-2*x^5+2*x^9-8*x^6+x^8)/(x-1)/(x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) lgdogf] A107240 5.62509 [(x^3-x^2+3*x-1)*(x+1)^2/(x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A107241 3.57510 [(4*x^9+x^8-7*x^7-x^6-x^5-8*x^4-11*x^3-5*x^2-x+1)/(x-1)/(x^4+x^3-3*x^2-3*x+1)/(x^6-x^5+2*x^4-2*x^3-2*x^2-x-1) ogf] A107242 4.03190 [x^2*(x+1)*(x^6-x^5-4*x^2+x+1)/(x-1)/(x^4+x^3-3*x^2-3*x+1)/(x^6-x^5+2*x^4-2*x^3-2*x^2-x-1) ogf] A107248 7.24127 [-(25*x^5+37*x^4+33*x^3-3*x^2+x+1)/(5*x^3-2*x^2+1)/(5*x^3+2*x^2-1) ogf] A107253 11.0131 [-(1+96*x+15*x^4-28*x^3+36*x^2)/(x-1)/(15*x^4-44*x^3+56*x^2-4*x+1) lgdogf] A107253 7.44854 [-(15*x^4-44*x^3+56*x^2-4*x+1)/(x-1)^5 ogf] A107255 5.97354 [-(31*x^5-125*x^4+160*x^3-190*x^2+5*x-1)/(x-1)^6 ogf] A107255 8.20289 [-(-1-355*x-20*x^3+31*x^5-95*x^4-280*x^2)/(x-1)/(31*x^5-125*x^4+160*x^3-190*x^2+5*x-1) lgdogf] A107256 5.03929 [-(63*x^6-314*x^5+687*x^4-328*x^3+617*x^2-6*x+1)/(x-1)^7 ogf] A107256 6.49751 [-(1+1198*x+63*x^6-250*x^5+491*x^4+1436*x^3+2101*x^2)/(x-1)/(63*x^6-314*x^5+687*x^4-328*x^3+617*x^2-6*x+1) lgdogf] A107264 10.3733 [3*f(x)^2*x^2+3*f(x)*x-f(x)+1 ogf] A107264 39.9775 [x/(1+3*x+3*x^2) revogf] A107264 4.02649 [{(-3*n-6)*a(n+1)+(-6*n-21)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A107265 12.469 [-5*f(x)^2*x^2-5*f(x)*x+f(x)-1 ogf] A107265 15.0688 [-((1-10*x+5*x^2)^(1/2)-1)/(1-10*x+5*x^2)^(1/2)/x lgdogf] A107265 4.77706 [{(5*n+10)*a(n+1)+(-10*n-35)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=5,a(2)=30} ogf] A107265 48.2202 [x/(1+5*x+5*x^2) revogf] A107266 13.4644 [-6*f(x)^2*x^2-6*f(x)*x+f(x)-1 ogf] A107266 15.6407 [-((1-12*x+12*x^2)^(1/2)-1)/(1-12*x+12*x^2)^(1/2)/x lgdogf] A107266 5.12514 [{(-12*n-24)*a(n+1)+(12*n+42)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=6,a(2)=42} ogf] A107266 52.1355 [x/(1+6*x+6*x^2) revogf] A107271 7.61527 [-(2*x^6+2*x^5-4*x^3-2*x^2-3*x-1)/(2*x^9-4*x^6-2*x^3+1) ogf] A107283 23.4919 [(-5-x+x^2+x^3)/(x-1)/(x^2+x+2) lgdegf] A107285 11.2730 [-(11-40*x+110*x^2)/(x-1)/(11*x-2)/(-1+10*x) lgdogf] A107285 4.54654 [-(17982*f(x)-42752615)*(10*f(x)*x^2-11*f(x)*x+f(x)+22055*x-4010) ogf] A107285 5.44586 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=4010,a(1)=22055} ogf] A107285 9.14606 [-1/10*(-4010-11*x+(16080100+81*x^2)^(1/2))/(2*x+4411) revogf] A107285 9.17728 [-2005*(11*x-2)/(10*x-1)/(x-1) ogf] A107287 7.17568 [x*(4*x^10-8*x^8+9*x^7+18*x^6+2-21*x^5-10*x^4+17*x^3-4*x^2-x)/(x-1)/(x+1)/(2*x^5+x^2-x+1)/(x^5-x^3+x^2+x-1) lgdogf] A107287 8.30081 [(x-1)*(x+1)*(2*x^5+x^2-x+1)/(x^5-x^3+x^2+x-1) ogf] A107293 15.7834 [-x^4/(x^5-x^3+x^2+x-1) ogf] A107293 20.3522 [-(1+2*x-3*x^2+5*x^4)/(x^2-1+x+x^5-x^3) lgdogf] A107293 6.61013 [-f(x)*(f(x)*x^5-f(x)*x^3+x^4+f(x)*x^2+f(x)*x-f(x)) ogf] A107298 5.50024 [(x^5-x^4-3*x^3-2*x^2+7*x-3)/(x-1)/(x^3-x^2-2*x+1) ogf] A107299 6.26066 [(3-4*x-80*x^4+50*x^3+4*x^8-12*x^7-x^6+52*x^5-13*x^2)/(x-1)/(2*x-1)/(2*x^3-x^2-3*x+1)/(x^4-2*x^2-3*x+3) lgdogf] A107299 7.00667 [(2*x-1)*(x^4-2*x^2-3*x+3)/(x-1)/(2*x^3-x^2-3*x+1) ogf] A107300 4.73399 [-(74*f(x)-51)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+4*x-3) ogf] A107300 4.94533 [{-a(n+3)+2*a(n+2)+2*a(n+1)-2*a(n),a(0)=3,a(1)=2,a(2)=8} ogf] A107300 8.58483 [-2*(1+4*x+2*x^4+8*x^3-11*x^2)/(2*x^2+4*x-3)/(2*x^3-2*x^2-2*x+1) lgdogf] A107300 9.07995 [-(2*x^2+4*x-3)/(2*x^3-2*x^2-2*x+1) ogf] A107307 6.48992 [(x^4-x^3-2*x^2-x+1)/(6*x^2+2*x-1)/(x-1)^3 ogf] A107307 7.94512 [-(-4+2*x+31*x^2-40*x^3-37*x^4+6*x^6)/(x-1)/(6*x^2+2*x-1)/(x^4-x^3-2*x^2-x+1) lgdogf] A107319 4.92568 [{(n^2+18*n+80)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=63} ogf] A107328 4.81983 [-(1015*f(x)+2747)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-8*x+3) ogf] A107328 5.20714 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=8} ogf] A107328 9.05028 [-(4-16*x+4*x^4-16*x^3+25*x^2)/(x-1)/(2*x-1)/(2*x-3)/(1+x^2-3*x) lgdogf] A107328 9.56066 [-(2*x-1)*(2*x-3)/(x-1)/(x^2-3*x+1) ogf] A107330 6.37402 [(3+x^8-6*x^7+8*x^6+26*x^5-60*x^4+34*x^3-15*x^2)/(x-1)/(x^3-2*x^2-3*x+1)/(x^5-2*x^4-5*x^3-3*x^2+9*x-3) lgdogf] A107330 7.06077 [(x^5-2*x^4-5*x^3-3*x^2+9*x-3)/(x-1)/(x^3-2*x^2-3*x+1) ogf] A107332 10.6011 [x*(x^2+x-1)/(x^5-x^3+x^2+x-1) ogf] A107332 16.1308 [-x^2*(4*x^3+3*x^4+3-2*x-6*x^2)/(x^2+x-1)/(x^5-x^3+x^2+x-1) lgdogf] A107332 6.97189 [f(x)*x^5-f(x)*x^3+f(x)*x^2-x^3+f(x)*x-x^2-f(x)+x ogf] A107334 12.0795 [-2*(1+6*x+3*x^4+8*x^3-12*x^2)/(3*x^2+4*x-3)/(2*x^3-3*x^2-2*x+1) lgdogf] A107334 12.6964 [-(3*x^2+4*x-3)/(2*x^3-3*x^2-2*x+1) ogf] A107334 6.50822 [-(553*f(x)-594)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+3*x^2+f(x)+4*x-3) ogf] A107334 6.85380 [{-a(n+3)+2*a(n+2)+3*a(n+1)-2*a(n),a(0)=3,a(1)=2,a(2)=10} ogf] A107351 12.4500 [-3*(1+3*x+3*x^2+3*x^3+x^4+3*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A107351 24.4237 [-x^5+2*x^2+3*x+3 ogf_with_Euler_transform] A107351 7.31130 [-(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^7 ogf] A107358 15.2177 [-(-1-2*x+13*x^12)/(x-1)/(x+1)/(x^11+x^9+x^7+x^5+x^3+x-1) lgdogf] A107358 18.7696 [x/(x-1)/(x+1)/(x^11+x^9+x^7+x^5+x^3+x-1) ogf] A107361 15.4959 [1/(3*x-1)/(x^2-x-1) ogf] A107361 18.3029 [-(-2-8*x+9*x^2)/(-1+3*x)/(x^2-x-1) lgdogf] A107361 5.67259 [{a(n+3)-2*a(n+2)-4*a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A107361 6.16824 [(613*f(x)+135)*(3*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A107363 8.96120 [(x-1)*(x^2+1)*(x^4+2*x^3-x^2+1)*(x+1)^2/(x^4+x^2-1)/(x^8-x^6+2*x^4+x^2+1) ogf] A107368 11.3272 [x^2*(x-1)/(x^5-x^3+x^2+x-1) ogf] A107368 14.7468 [-x*(-2+4*x^4-5*x^3-2*x^2+4*x)/(x-1)/(x^5-x^3+x^2+x-1) lgdogf] A107368 7.30449 [-f(x)*x^5+f(x)*x^3-f(x)*x^2+x^3-f(x)*x-x^2+f(x) ogf] A107373 3.99414 [{(-8*n-24)*a(n+1)+(4*n+12)*a(n+2)+(2*n+8)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A107373 5.18445 [-16*f(x)^2*x^4+16*f(x)^2*x^3+8*f(x)*x^3-4*f(x)^2*x-4*f(x)*x^2+f(x)^2-2*f(x)*x-x^2+f(x) ogf] A107375 5.45201 [(16*f(x)-1)*(f(x)*x^4+6*f(x)*x^3+4*x^3-6*f(x)*x+5*x^2+f(x)-x) ogf] A107375 9.43785 [-(1-8*x+39*x^4+56*x^3+8*x^5+6*x^2)/(4*x^2+5*x-1)/(x^4+6*x^3-6*x+1) lgdogf] A107375 9.72972 [-x*(4*x^2+5*x-1)/(x^4+6*x^3-6*x+1) ogf] A107376 5.31671 [(9*f(x)+1)*(f(x)*x^4+7*f(x)*x^3+5*x^3-7*f(x)*x+6*x^2+f(x)-x) ogf] A107376 8.72484 [-(1-10*x+14*x^2+80*x^3+53*x^4+10*x^5)/(5*x^2+6*x-1)/(x^4+7*x^3-7*x+1) lgdogf] A107376 9.40648 [-x*(5*x^2+6*x-1)/(x^4+7*x^3-7*x+1) ogf] A107377 10.3541 [-(1-6*x+36*x^3+27*x^4+6*x^5)/(3*x^2+4*x-1)/(x^4+5*x^3-5*x+1) lgdogf] A107377 5.30168 [-(7*f(x)-2)*(f(x)*x^4+5*f(x)*x^3+3*x^3-5*f(x)*x+4*x^2+f(x)-x) ogf] A107377 9.70615 [-x*(3*x^2+4*x-1)/(x^4+5*x^3-5*x+1) ogf] A107378 10.0396 [-x*(2*x^2+3*x-1)/(x^4+4*x^3-4*x+1) ogf] A107378 7.01694 [f(x)*x^4+4*f(x)*x^3+2*x^3-4*f(x)*x+3*x^2+f(x)-x ogf] A107378 9.73771 [-(1-4*x+17*x^4+20*x^3+4*x^5-4*x^2)/(2*x^2+3*x-1)/(x^4+4*x^3-4*x+1) lgdogf] A107381 5.33434 [(x^7+3*x^6-2*x^3-9*x^2+13*x-4)/(x-1)/(x^2+x-1)/(x^2+2*x-1) ogf] A107382 10.0467 [4*(x^3-3*x+1)/(x^4+4*x^3-4*x+1) ogf] A107382 10.5204 [-(-1+9*x^2-12*x^3-9*x^4+x^6)/(x^3-3*x+1)/(x^4+4*x^3-4*x+1) lgdogf] A107382 5.36982 [(357*f(x)+274)*(f(x)*x^4+4*f(x)*x^3-4*x^3-4*f(x)*x+f(x)+12*x-4) ogf] A107383 10.7506 [-2*f(x)*x^3-2*f(x)*x^2-x^2+f(x)-x ogf] A107383 13.5903 [-x*(x+1)/(2*x^3+2*x^2-1) ogf] A107383 16.8937 [-(1+4*x+4*x^3+8*x^2)/(x+1)/(2*x^3+2*x^2-1) lgdogf] A107383 7.74503 [{-a(n+3)+2*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A107384 10.7381 [-(1+2*x+2*x^2-12*x^3+12*x^5)/(-1+x)/(2*x^2-1)/(3*x^3+3*x^2-1) lgdogf] A107384 11.6741 [-x*(2*x^2-1)/(x-1)/(3*x^3+3*x^2-1) ogf] A107384 6.21889 [(8*f(x)+1)*(3*f(x)*x^4-3*f(x)*x^2+2*x^3-f(x)*x+f(x)-x) ogf] A107385 11.3322 [-(1+2*x+3*x^2-16*x^3+24*x^5)/(x-1)/(3*x^2-1)/(4*x^3+4*x^2-1) lgdogf] A107385 12.1093 [-x*(3*x^2-1)/(x-1)/(4*x^3+4*x^2-1) ogf] A107385 6.3324 [(92*f(x)-19)*(4*f(x)*x^4-4*f(x)*x^2+3*x^3-f(x)*x+f(x)-x) ogf] A107386 10.2978 [(1+2*x+2*x^6-4*x^5+16*x^3-2*x^4-3*x^2)/(x-1)/(x+1)/(2*x^5-4*x^4+x-1) lgdogf] A107386 9.75326 [x*(2*x^5-4*x^4+x-1)/(x+1)/(x-1)^3 ogf] A107387 11.7302 [x*(x^2+2*x-1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A107387 6.6301 [(5*f(x)+3)*(f(x)*x^4-3*f(x)*x^3-x^3+3*f(x)*x-2*x^2-f(x)+x) ogf] A107387 7.37319 [(1-2*x-6*x^2+40*x^3-67*x^4+22*x^5+18*x^6-12*x^7+2*x^8)/(x-1)/(x+1)/(x^2-3*x+1)/(2*x^5-6*x^4+x^2+2*x-1) lgdogf] A107388 11.3807 [-x*(2*x-1)*(3*x-1)/(x-1)/(x+1)/(x^2-4*x+1) ogf] A107388 5.918 [-(2724*f(x)-3355)*(f(x)*x^4-4*f(x)*x^3+6*x^3+4*f(x)*x-5*x^2-f(x)+x) ogf] A107388 6.98175 [(1-4*x-4*x^2+60*x^3-107*x^4+28*x^5+32*x^6-16*x^7+2*x^8)/(x-1)/(x+1)/(x^2-4*x+1)/(2*x^5-8*x^4+2*x^2+3*x-1) lgdogf] A107389 11.9157 [-x*(7*x^2-6*x+1)/(x-1)/(x+1)/(x^2-5*x+1) ogf] A107389 6.19617 [-(1099*f(x)-1325)*(f(x)*x^4-5*f(x)*x^3+7*x^3+5*f(x)*x-6*x^2-f(x)+x) ogf] A107389 7.67931 [(1-6*x+84*x^3-157*x^4+34*x^5+50*x^6-20*x^7+2*x^8)/(x-1)/(x+1)/(2*x^5-10*x^4+3*x^2+4*x-1)/(x^2-5*x+1) lgdogf] A107391 10.5513 [1/64*(-3+6*x+(9-20*x+100*x^2)^(1/2))/(1+4*x) revogf] A107391 4.45753 [-(3855*f(x)-73312)*(1024*f(x)*x^2-48*f(x)*x-f(x)+256*x+24) ogf] A107391 5.15872 [{a(n+2)+48*a(n+1)-1024*a(n),a(0)=24,a(1)=-896} ogf] A107391 8.82935 [-8*(32*x+3)/(64*x+1)/(16*x-1) ogf] A107391 9.28512 [-16*(-7+384*x+2048*x^2)/(32*x+3)/(64*x+1)/(16*x-1) lgdogf] A107392 10.2248 [(12*x^2-18*x+7)/(x-1)/(2*x-1)^3 ogf] A107392 5.4088 [(881*f(x)+2492)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x-12*x^2+f(x)+18*x-7) ogf] A107394 9.97789 [-5/(-1+x) lgdogf] A107395 5.39989 [-7*(5+10*x+3*x^2)/(-1+x)/(3*x^2+8*x+3) lgdogf] A107401 8.18929 [-x*(3*x^3+x^2-2*x-1)/(x+1)/(x^4-4*x^2+1) ogf] A107401 8.65278 [-(1+6*x+6*x^6-6*x^5+10*x^2+6*x^3-3*x^4+6*x^7)/(x+1)/(3*x^3+x^2-2*x-1)/(x^4-4*x^2+1) lgdogf] A107402 7.67136 [-x*(5*x^3+2*x^2-2*x-1)/(x+1)/(x^4-5*x^2+1) ogf] A107402 7.81806 [-(1+6*x+10*x^7+8*x^2+6*x^3+4*x^4-4*x^5+11*x^6)/(x+1)/(5*x^3+2*x^2-2*x-1)/(x^4-5*x^2+1) lgdogf] A107413 8.03201 [x*(5*x^3+5*x^2+6*x-1)/(x^5-6*x^3+7*x-1) ogf] A107417 16.2445 [-6*(3+15*x+10*x^2)/(x-1)/(10*x^2+10*x+1) lgdogf] A107417 3.52717 [{(n+4)*a(n+4)+(9+9*n)*a(n+3)-90*a(n+2)+(-70-10*n)*a(n+1),a(0)=1,a(1)=18,a(2)=126,a(3)=560} ogf] A107417 6.13989 [(10*x^2+10*x+1)/(x-1)^8 ogf] A107418 11.7823 [-28*(1+9*x+15*x^2+5*x^3)/(x-1)/(20*x^3+45*x^2+18*x+1) lgdogf] A107418 4.45691 [(20*x^3+45*x^2+18*x+1)/(x-1)^10 ogf] A107418 5.18161 [{(n^2+13*n+40)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=28} ogf] A107419 10.6121 [-40*(1+14*x+42*x^2+35*x^3+7*x^4)/(x-1)/(35*x^4+140*x^3+126*x^2+28*x+1) lgdogf] A107419 4.29477 [(35*x^4+140*x^3+126*x^2+28*x+1)/(x-1)^12 ogf] A107419 6.14536 [{(n^2+15*n+54)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=40} ogf] A107420 5.86518 [{(n^2+17*n+70)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=54} ogf] A107420 7.96298 [-18*(3+60*x+210*x^4+420*x^3+28*x^5+280*x^2)/(x-1)/(56*x^5+350*x^4+560*x^3+280*x^2+40*x+1) lgdogf] A107421 5.91410 [{(n^2+19*n+88)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=70} ogf] A107421 6.68123 [-70*(1+27*x+180*x^2+420*x^3+378*x^4+126*x^5+12*x^6)/(x-1)/(84*x^6+756*x^5+1890*x^4+1680*x^3+540*x^2+54*x+1) lgdogf] A107443 12.3560 [-(3*x^2+1)/(x-1)/(2*x^2-x+1)/(2*x^2+x+1) ogf] A107443 12.4573 [-(1-24*x^5+36*x^6+6*x^2-16*x^3+29*x^4)/(x-1)/(3*x^2+1)/(2*x^2-x+1)/(2*x^2+x+1) lgdogf] A107443 6.68141 [f(x)*(4*f(x)*x^5-4*f(x)*x^4+3*f(x)*x^3-3*f(x)*x^2+f(x)*x+3*x^2-f(x)+1) ogf] A107451 4.07123 [(10*x^10-44*x^9-86*x^8+246*x^7+198*x^6+58*x^5+18*x^4+24*x^3-6*x+1)/(x^6-5*x^5-6*x^4+30*x^3+5*x^2-7*x+1) ogf] A107453 11.9433 [f(x)*(f(x)*x^4+x^4+x^3+x^2-f(x)+x+1) ogf] A107453 13.1443 [-(1+2*x+3*x^2+8*x^3+3*x^4+2*x^5+x^6)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A107453 15.2507 [-(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A107453 29.9774 [[-x^4+x^3+1] ogf_with_Euler_transform] A107454 6.01094 [x*(-2-3*x^5-6*x^4-4*x^2-10*x^8-x^7-8*x^6-10*x^3+3*x^11+5*x^13+x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A107454 9.47053 [-(x^4-x^3+x^2-x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A107455 7.17381 [-(x^16+x^13+x^10+x^8+x^6+x^5+x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A107458 12.5779 [(x^3+x^2-1)/(x+1)/(x^3+x-1) ogf] A107458 18.8669 [-x^3*(x^3+2*x^2-4)/(x+1)/(x^3+x^2-1)/(x^3+x-1) lgdogf] A107458 9.332 [-f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3+x^2+f(x)-1 ogf] A107459 4.01096 [-(x^11+x^8+x^6+x^5+2*x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A107464 10.4469 [(16*x^2-26*x+11)/(x-1)/(2*x-1)^3 ogf] A107464 5.40609 [(31762*f(x)-123523)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x-16*x^2+f(x)+26*x-11) ogf] A107467 5.34316 [-x*(7*x^5+4*x^4+x^3+2*x^2+2*x-1)/(x^7+x^6-2*x^5-x^4+3*x^3-x^2-3*x+1) ogf] A107475 6.12219 [-(6*x^4-5*x^3+6*x^2+4*x-1)/(x^3-5*x^2+6*x-1)/(x^3+2*x^2-x-1) ogf] A107476 3.67050 [-x*(3*x^4-11*x^3+8*x^2+5*x-1)/(x^6-4*x^5-6*x^4+24*x^3-4*x^2-6*x+1) ogf] A107477 3.75870 [(10*x^10-44*x^9-96*x^8+290*x^7+124*x^6+16*x^5+2*x^4+19*x^3-10*x^2-6*x+1)/(x^6-5*x^5-7*x^4+35*x^3-5*x^2-7*x+1) ogf] A107479 5.86217 [-(1+4*x+10*x^3+6*x^9+8*x^8+10*x^7+12*x^6+10*x^5+13*x^4+2*x^11+4*x^10+7*x^2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^7+x^6+x^5+x^4+x^3+x^2-1) lgdogf] A107479 6.55801 [-x*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A107480 8.15460 [-(-1-2*x+2*x^11-6*x^8-2*x^7-2*x^2-4*x^3-x^4-6*x^5-10*x^6)/(x^2+1)/(x^5+x^2+x-1)/(x^5-x^2-1) lgdogf] A107480 9.81473 [x*(x^5-x^2-1)/(x^2+1)/(x^5+x^2+x-1) ogf] A107483 3.85751 [2*(50*x^6-100*x^5+90*x^4+20*x^3+41*x^2+9*x+1)/(x-1)/(x^2+1)/(1000*x^4-1) ogf] A107583 3.51695 [(148*f(x)-139)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+10*x^2-f(x)-5*x+1) ogf] A107583 3.67537 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A107583 6.58010 [-(10*x^2-5*x+1)/(3*x-1)/(x-1)^2 ogf] A107583 8.67026 [-6*x*(-1+5*x^2)/(-1+x)/(-1+3*x)/(10*x^2-5*x+1) lgdogf] A107584 12.5069 [-(17*x^2-6*x+1)/(4*x-1)/(x-1)^2 ogf] A107584 15.6256 [-4*x*(-4+5*x+17*x^2)/(x-1)/(4*x-1)/(17*x^2-6*x+1) lgdogf] A107584 6.62758 [(1953*f(x)-929)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+17*x^2-f(x)-6*x+1) ogf] A107584 6.98584 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=0,a(2)=8} ogf] A107585 13.8599 [-(26*x^2-7*x+1)/(5*x-1)/(x-1)^2 ogf] A107585 17.2679 [-10*x*(-3+13*x^2+6*x)/(x-1)/(5*x-1)/(26*x^2-7*x+1) lgdogf] A107585 7.27642 [(11536*f(x)+6689)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+26*x^2-f(x)-7*x+1) ogf] A107585 7.72718 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=0,a(2)=15} ogf] A107600 5.74208 [(x^5-5*x^4+7*x^3+4*x^2-11*x-1)/(x-1)^7 ogf] A107600 9.28105 [-(-18-58*x+41*x^2+8*x^3-10*x^4+2*x^5)/(x-1)/(x^5-5*x^4+7*x^3+4*x^2-11*x-1) lgdogf] A107601 5.24083 [(x^6-6*x^5+11*x^4-22*x^2+15*x+7)/(x-1)^8 ogf] A107601 8.13764 [-(71+61*x+2*x^6-12*x^5+14*x^4+44*x^3-132*x^2)/(x-1)/(x^6-6*x^5+11*x^4-22*x^2+15*x+7) lgdogf] A107635 16.2522 [-(-3*x^2+3*x-3)/(-x^4+1) ogf_with_Euler_transform] A107635 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(3/4) A107653 99.9999 Evaluated at exp(-Pi) -3/16*exp(Pi)*Pi^2*GAMMA(11/12)^10*GAMMA(7/12)^6*(-7+4*3^(1/2))/GAMMA(2/3)^4/GAMMA(3/4)^16 A107659 12.6422 [(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A107659 13.6757 [-4*(-1-x+2*x^2+4*x^3)/(2*x+1)/(-1+2*x)/(2*x^2-1) lgdogf] A107659 5.92952 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A107659 6.38129 [(33*f(x)-10)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-2*x-1) ogf] A107660 11.8431 [(3*x+1)/(3*x-1)/(3*x^2-1) ogf] A107660 12.8085 [-6*(-1-x+3*x^2+9*x^3)/(-1+3*x)/(3*x+1)/(3*x^2-1) lgdogf] A107660 5.55471 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=1,a(1)=6,a(2)=21} ogf] A107660 5.92152 [(110*f(x)-51)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-3*x-1) ogf] A107663 4.80278 [(153*f(x)-2362)*(4*f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2+16*x^3-f(x)*x+6*x^2+f(x)-8*x-1) ogf] A107663 7.64843 [-(9-4*x-20*x^4-16*x^3+64*x^6+48*x^5-16*x^2)/(2*x-1)/(x+1)/(2*x^2-1)/(16*x^3+6*x^2-8*x-1) lgdogf] A107663 8.80510 [-(16*x^3+6*x^2-8*x-1)/(x+1)/(2*x-1)/(2*x^2-1) ogf] A107680 12.5709 [-(81*x^30+27*x^14+9*x^6+3*x^2+1)/(x-1) ogf] A107684 6.11137 [(-2-10*x-58*x^3-85*x^4-88*x^5-60*x^6-20*x^7+8*x^8+8*x^9+4*x^10-30*x^2)/(2*x^3-1)/(2*x^6+4*x^5+6*x^4+7*x^3+6*x^2+3*x+1)/(x^2+x+1) lgdogf] A107684 7.02594 [-x*(2*x^6+4*x^5+6*x^4+7*x^3+6*x^2+3*x+1)/(2*x^3-1)/(x^2+x+1) ogf] A107708 14.7997 [1/2/(x+1)*(-x+1+(1-6*x-3*x^2)^(1/2))*x revogf] A107708 7.4567 [-x*f(x)^3-f(x)^2*x-f(x)*x+f(x)-1 ogf] A107731 11.2774 [-(21+156*x+36*x^3+x^4+186*x^2)/(x-1)/(x^4+16*x^3+46*x^2+16*x+1) lgdogf] A107731 7.39122 [-(x^4+16*x^3+46*x^2+16*x+1)/(x-1)^5 ogf] A107732 10.3727 [-(8*x^5-10*x^3-2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A107733 8.54883 [-(64*x^7-96*x^5+40*x^3+4*x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2-2*x-1)/(4*x^2+2*x-1) ogf] A107750 12.2442 [x*(x+1)*(x^4-x^3+x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A107751 13.2172 [f(x)*(x^5+f(x)*x^3+x^2-f(x)+x+1) ogf] A107751 13.8954 [(-1-2*x+2*x^7-6*x^4-2*x^3-3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^3+x^2+1) lgdogf] A107751 17.3911 [-(x+1)*(x^4-x^3+x^2+1)/(x-1)/(x^2+x+1) ogf] A107751 8.26078 [{a(n+4)-a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=2} ogf] A107760 15.9236 [-(2*x^2-3*x+3)/(-x^3-1) ogf_with_Euler_transform] A107767 14.3963 [-4*(1-9*x^2+9*x^3)/(x-1)/(-1+3*x)/(3*x^2-1) lgdogf] A107767 14.9717 [-x/(3*x-1)/(x-1)/(3*x^2-1) ogf] A107767 6.22587 [(52*f(x)-3)*(9*f(x)*x^4-12*f(x)*x^3+4*f(x)*x-f(x)+x) ogf] A107769 9.56116 [-x*(x^2-x+1)/(x-1)/(x^2+2*x-1)/(x^4+2*x^2-1) ogf] A107820 14.8146 [-(2*x^3-x^2+x-3)/(x-1)^2 ogf] A107820 22.7343 [(5+x+2*x^3-6*x^2)/(x-1)/(2*x^3-x^2+x-3) lgdogf] A107820 7.92709 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=3,a(1)=5,a(2)=8,a(3)=9} ogf] A107820 8.29072 [-(67*f(x)+2117)*(f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)+x-3) ogf] A107837 5.28784 [-(702*x^17-702*x^16+701*x^12-701*x^11+61*x^7-61*x^6-20*x^5+72*x^2-72*x-20)/(x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A107839 16.9486 [-1/4*(-1-5*x+(1+10*x+17*x^2)^(1/2))/x revogf] A107839 19.3830 [1/(2*x^2-5*x+1) ogf] A107839 27.2651 [-(-5+4*x)/(2*x^2+1-5*x) lgdogf] A107839 7.80049 [{-a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=5} ogf] A107839 9.34259 [(21*f(x)+4)*(2*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A107840 6.40995 [(1-4*x-64*x^4+40*x^3+2*x^8-12*x^7+18*x^6+20*x^5-3*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(2*x^5-6*x^4+2*x^2+2*x-1) lgdogf] A107840 8.79012 [(2*x^5-6*x^4+2*x^2+2*x-1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A107841 13.2328 [-3*f(x)^2*x+f(x)*x+f(x)-1 ogf] A107841 15.3639 [-1/2*(x-1+(1-10*x+x^2)^(1/2))/(1-10*x+x^2)^(1/2)/x lgdogf] A107841 3.68272 [{(-n^2-n)*a(n)+(11*n^2+29*n+18)*a(n+1)+(-11*n^2-59*n-78)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A107841 48.0122 [x*(-1+3*x)/(x-1) revogf] A107843 16.6100 [-(203*x-201)/(x-1)^2 ogf] A107843 19.4674 [-1/2*(-201-2*x+(40401-8*x)^(1/2))/(203+x) revogf] A107843 25.7471 [-(-199+203*x)/(203*x-201)/(x-1) lgdogf] A107843 8.3906 [-(4*f(x)-40405)*(f(x)*x^2-2*f(x)*x+f(x)+203*x-201) ogf] A107843 9.46383 [{-a(n+2)+2*a(n+1)-a(n),a(0)=201,a(1)=199} ogf] A107849 10.8496 [-2*(1+x-x^4-x^3+5*x^7+9*x^6+3*x^5+3*x^2)/(1+x)/(2*x^3+x^2-1)/(x^4+1) lgdogf] A107849 9.29052 [-(x+1)^2/(2*x^3+x^2-1)/(x^4+1) ogf] A107850 8.10403 [-(x^2+x+1)*(2*x^2+2*x+1)*(x-1)^2/(2*x^3+x^2-1)/(x^4+1) ogf] A107851 7.11478 [-(-1-8*x-8*x^9-31*x^8-32*x^7-24*x^6+8*x^4+8*x^11+2*x^10-10*x^2)/(2*x^3+x^2-1)/(2*x^5-x^3-3*x^2-x-1)/(x^4+1) lgdogf] A107851 7.64775 [x*(2*x^5-x^3-3*x^2-x-1)/(2*x^3+x^2-1)/(x^4+1) ogf] A107852 7.41429 [-x*(x+1)^2*(x^2+1)/(2*x^3+x^2-1)/(x^4+1) ogf] A107852 8.38382 [-2*(1+2*x-x^4-x^3+3*x^9+6*x^8+7*x^7+9*x^6+x^5+5*x^2)/(1+x)/(x^2+1)/(2*x^3+x^2-1)/(x^4+1) lgdogf] A107853 8.19876 [x*(x-1)*(x+1)^3/(2*x^3+x^2-1)/(x^4+1) ogf] A107853 8.83849 [-2*(-1+x-2*x^4+3*x^3+3*x^8+3*x^7-6*x^6-3*x^5-2*x^2)/(x-1)/(1+x)/(2*x^3+x^2-1)/(x^4+1) lgdogf] A107854 8.39971 [x*(x^2+1)*(x^3-x-1)/(2*x^3+x^2-1)/(x^4+1) ogf] A107855 6.55584 [(2*x^10+8*x^8+5*x^6+3*x^5+5*x^4+2*x^3+x^2-x-1)/(x^2+1)/(x^4+3*x^2-1) ogf] A107856 6.82575 [(x^2+x+1)*(2*x^6+2*x^2-1)/(x^2+1)/(x^4+3*x^2-1) ogf] A107857 8.01447 [-(x^4-x^3+3*x^2-1)/(x-1)/(x^4+4*x^2-1) ogf] A107857 8.13142 [-(1+2*x+6*x^4-2*x^3+x^8-2*x^7+6*x^6+2*x^5-6*x^2)/(x-1)/(x^4-x^3+3*x^2-1)/(x^4+4*x^2-1) lgdogf] A107858 8.01447 [-(x^4-x^3+3*x^2-1)/(x-1)/(x^4+4*x^2-1) ogf] A107858 8.13142 [-(1+2*x+6*x^4-2*x^3+x^8-2*x^7+6*x^6+2*x^5-6*x^2)/(x-1)/(x^4-x^3+3*x^2-1)/(x^4+4*x^2-1) lgdogf] A107891 10.0903 [-(19+120*x+5*x^4+64*x^3+170*x^2)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A107891 3.67613 [{(-n^2-11*n-30)*a(n+1)+(2*n^2+18*n+66)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=19,a(2)=155} ogf] A107891 4.91953 [-(x^4+10*x^3+20*x^2+10*x+1)/(x-1)^9 ogf] A107895 22.0119 [-1/(-x^2+2*x-1) egf]_with_Euler_transform] A107903 13.3809 [(2*x+1)/(4*x^2-8*x+1) ogf] A107903 13.4127 [-1/4*(-1-8*x+(1+24*x+48*x^2)^(1/2))/(-1+2*x) revogf] A107903 15.1323 [-2*(-5+4*x+4*x^2)/(2*x+1)/(4*x^2-8*x+1) lgdogf] A107903 6.76564 [(336*f(x)+289)*(4*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A107903 7.25472 [{-a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=10} ogf] A107904 14.5282 [-(6*x+1)/(12*x^2-1) ogf] A107904 15.3198 [1/12*(-1+(1+24*x+48*x^2)^(1/2))/(1+2*x) revogf] A107904 16.5965 [-6*(1+4*x+12*x^2)/(6*x+1)/(12*x^2-1) lgdogf] A107904 8.47481 [-(4*f(x)+5)*(12*f(x)*x^2-f(x)+6*x+1) ogf] A107904 9.38748 [{a(n+2)-12*a(n),a(0)=1,a(1)=6} ogf] A107906 12.9509 [-1/4*ln(3)+1/4*ln(2+4*x+(1+16*x^2+16*x)^(1/2)) revegf] A107906 14.1844 [-8*(1+4*x+16*x^2)/(4*x+1)/(8*x+1)/(-1+4*x) lgdogf] A107906 14.4830 [-(8*x+1)/(4*x-1)/(4*x+1) ogf] A107906 8.44841 [-(5*f(x)+2)*(16*f(x)*x^2-f(x)+8*x+1) ogf] A107906 9.35823 [{a(n+2)-16*a(n),a(0)=1,a(1)=8} ogf] A107908 12.7408 [-2*(8+38*x+5*x^3+33*x^2)/(x-1)/(2*x^3+10*x^2+8*x+1) lgdogf] A107908 3.62354 [{(-7*n^2-77*n-210)*a(n+1)+(8*n^2+42*n+84)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=16,a(2)=110} ogf] A107908 5.76616 [(2*x^3+10*x^2+8*x+1)/(x-1)^8 ogf] A107915 7.51072 [-7*(5+70*x+161*x^4+336*x^3+x^6+26*x^5+259*x^2)/(x-1)/(x^6+22*x^5+113*x^4+190*x^3+113*x^2+22*x+1) lgdogf] A107916 4.52937 [-(2*x^5+28*x^4+85*x^3+75*x^2+19*x+1)/(x-1)^11 ogf] A107916 8.95693 [-2*(15+170*x+103*x^4+396*x^3+6*x^5+465*x^2)/(x-1)/(2*x^5+28*x^4+85*x^3+75*x^2+19*x+1) lgdogf] A107917 3.70311 [{(n^3+16*n^2+81*n+126)*a(n+1)+(20*n^2+200*n+660)*a(n+2)+(-n^3-14*n^2-61*n-84)*a(n+3),a(0)=1,a(1)=34,a(2)=455} ogf] A107917 3.91308 [(x^6+22*x^5+113*x^4+190*x^3+113*x^2+22*x+1)/(x-1)^12 ogf] A107917 7.38718 [-2*(17+234*x+1081*x^3+3*x^6+80*x^5+507*x^4+850*x^2)/(x-1)/(x^6+22*x^5+113*x^4+190*x^3+113*x^2+22*x+1) lgdogf] A107920 13.3678 [-2*f(x)*x^2+f(x)*x-f(x)+x ogf] A107920 23.9000 [x/(2*x^2-x+1) ogf] A107920 41.2035 [-(-1+4*x)/(2*x^2+1-x) lgdogf] A107920 9.73704 [{a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A107928 5.76059 [{-a(n+5)+8*a(n+2),a(0)=2,a(1)=3,a(2)=12,a(3)=24,a(4)=16} ogf] A107928 6.66068 [(500*f(x)+593)*(8*f(x)*x^3-8*x^4+8*x^3+12*x^2-f(x)+3*x+2) ogf] A107928 9.68827 [(8*x^4-8*x^3-12*x^2-3*x-2)/(2*x-1)/(4*x^2+2*x+1) ogf] A107941 4.52220 [-(3*x^5+38*x^4+105*x^3+85*x^2+20*x+1)/(x-1)^11 ogf] A107941 8.89110 [-(31+370*x+281*x^4+992*x^3+18*x^5+1080*x^2)/(x-1)/(3*x^5+38*x^4+105*x^3+85*x^2+20*x+1) lgdogf] A107942 4.08396 [(x+1)*(x^4+17*x^3+48*x^2+17*x+1)/(x-1)^10 ogf] A107942 8.00696 [-(28+292*x+113*x^4+527*x^3+5*x^5+715*x^2)/(x-1)/(1+x)/(x^4+17*x^3+48*x^2+17*x+1) lgdogf] A107943 3.39010 [{(-21*n^2-273*n-882)*a(n+1)+(22*n^2+100*n+162)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=25,a(2)=245} ogf] A107943 4.22078 [(3*x^4+25*x^3+40*x^2+15*x+1)/(x-1)^10 ogf] A107943 9.05018 [-(25+215*x+395*x^2+187*x^3+18*x^4)/(x-1)/(3*x^4+25*x^3+40*x^2+15*x+1) lgdogf] A107953 7.85374 [(48*x^3-120*x^2+104*x-31)/(x-1)/(2*x-1)^4 ogf] A107954 5.06515 [(128*x^4-432*x^3+568*x^2-342*x+79)/(x-1)/(2*x-1)^5 ogf] A107954 6.02437 [-(-527+2548*x-4964*x^2+4896*x^3-2464*x^4+512*x^5)/(x-1)/(2*x-1)/(128*x^4-432*x^3+568*x^2-342*x+79) lgdogf] A107955 4.18622 [(320*x^5-1360*x^4+2400*x^3-2180*x^2+1012*x-191)/(x-1)/(2*x-1)^6 ogf] A107956 5.06493 [-(2*x^4+19*x^3+34*x^2+14*x+1)/(x-1)^9 ogf] A107956 9.79199 [-(23+180*x+122*x^3+10*x^4+295*x^2)/(x-1)/(2*x^4+19*x^3+34*x^2+14*x+1) lgdogf] A107959 10.2932 [-(22+160*x+5*x^4+82*x^3+235*x^2)/(x-1)/(x^4+13*x^3+28*x^2+13*x+1) lgdogf] A107959 5.01646 [-(x^4+13*x^3+28*x^2+13*x+1)/(x-1)^9 ogf] A107962 12.2181 [-(19+113*x+25*x^3+123*x^2)/(x-1)/(5*x^3+18*x^2+11*x+1) lgdogf] A107962 5.80262 [(5*x^3+18*x^2+11*x+1)/(x-1)^8 ogf] A107963 18.7477 [-(13+42*x+15*x^2)/(x-1)/(3*x^2+6*x+1) lgdogf] A107963 3.50199 [{(n+4)*a(n+4)+(2+5*n)*a(n+3)+(-48-3*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=1,a(1)=13,a(2)=73,a(3)=273} ogf] A107963 7.29280 [-(3*x^2+6*x+1)/(x-1)^7 ogf] A107965 4.05927 [-(x^6+22*x^5+113*x^4+190*x^3+113*x^2+22*x+1)/(x-1)^11 ogf] A107965 7.22589 [-(33+446*x+901*x^4+1972*x^3+5*x^6+138*x^5+1587*x^2)/(x-1)/(x^6+22*x^5+113*x^4+190*x^3+113*x^2+22*x+1) lgdogf] A107966 4.08396 [(2*x^5+28*x^4+85*x^3+75*x^2+19*x+1)/(x-1)^10 ogf] A107966 7.62568 [-(29+321*x+178*x^4+707*x^3+10*x^5+855*x^2)/(x-1)/(2*x^5+28*x^4+85*x^3+75*x^2+19*x+1) lgdogf] A107967 4.07858 [(3*x^5+38*x^4+105*x^3+85*x^2+20*x+1)/(x-1)^10 ogf] A107967 7.57384 [-(30+350*x+243*x^4+887*x^3+15*x^5+995*x^2)/(x-1)/(3*x^5+38*x^4+105*x^3+85*x^2+20*x+1) lgdogf] A107968 5.11340 [-(3*x^4+25*x^3+40*x^2+15*x+1)/(x-1)^9 ogf] A107968 9.88752 [-(24+200*x+15*x^4+162*x^3+355*x^2)/(x-1)/(3*x^4+25*x^3+40*x^2+15*x+1) lgdogf] A107969 10.2537 [-(8*x^2+7*x+1)*(x^2+12*x+22)/(x-1)/(2*x^4+19*x^3+34*x^2+14*x+1) lgdogf] A107969 5.27334 [(2*x^4+19*x^3+34*x^2+14*x+1)/(x-1)^8 ogf] A107970 10.4067 [-(21+147*x+4*x^4+69*x^3+207*x^2)/(x-1)/(x^4+13*x^3+28*x^2+13*x+1) lgdogf] A107970 5.51812 [(x^4+13*x^3+28*x^2+13*x+1)/(x-1)^8 ogf] A107971 13.1009 [-(18+102*x+20*x^3+105*x^2)/(x-1)/(5*x^3+18*x^2+11*x+1) lgdogf] A107971 3.43359 [{(-2279*n^2-18909*n-37570)*a(n+1)+(4383*n^2+31133*n+94306)*a(n+2)+(-2104*n^2-13274*n-20886)*a(n+3),a(0)=1,a(1)=18,a(2)=123} ogf] A107971 6.73882 [-(5*x^3+18*x^2+11*x+1)/(x-1)^7 ogf] A107973 2.20486 [(949*f(x)+2329726)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+421*x^2-f(x)-880*x+461) ogf] A107973 4.11354 [-(421*x^2-880*x+461)/(x-1)^3 ogf] A107973 5.60903 [-(503-918*x+421*x^2)/(-1+x)/(421*x^2-880*x+461) lgdogf] A107979 13.1884 [-(x+2)/(2*x^2+4*x-1) ogf] A107979 14.5279 [(-2*x-1+((1+2*x)*(1+3*x))^(1/2))/(1+2*x) revogf] A107979 17.0916 [-(9+8*x+2*x^2)/(x+2)/(2*x^2+4*x-1) lgdogf] A107979 6.90093 [(44*f(x)-7)*(2*f(x)*x^2+4*f(x)*x-f(x)+x+2) ogf] A107979 7.23756 [{a(n+2)-4*a(n+1)-2*a(n),a(0)=2,a(1)=9} ogf] A108012 5.13081 [(159*f(x)+115)*(4*f(x)*x^4-16*f(x)*x^2-4*x^3+8*f(x)*x-14*x^2-f(x)+4*x) ogf] A108012 7.54840 [-(-9+68*x+84*x^4-32*x^3+16*x^5-128*x^2)/(2*x^2+4*x-1)/(2*x^2-4*x+1)/(2*x^2+7*x-2) lgdogf] A108012 9.26607 [2*x*(2*x^2+7*x-2)/(2*x^2+4*x-1)/(2*x^2-4*x+1) ogf] A108014 12.9549 [x*(x-2)/(x^2-x+1)/(x^2+x-1) ogf] A108014 14.2651 [-(-3+4*x+3*x^4-8*x^3-x^2)/(x-2)/(x^2-x+1)/(x^2+x-1) lgdogf] A108014 6.53478 [-(15*f(x)+31)*(f(x)*x^4-f(x)*x^2+2*f(x)*x-x^2-f(x)+2*x) ogf] A108019 10.155 [-8*f(x)*x^2+9*f(x)*x-f(x)+4*x ogf] A108019 15.1323 [-1/16*(-4-9*x+(16+72*x+49*x^2)^(1/2))/x revogf] A108019 16.1931 [4*x/(8*x-1)/(x-1) ogf] A108019 24.5900 [-(-9+16*x)/(8*x-1)/(x-1) lgdogf] A108019 7.39686 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=4} ogf] A108020 11.1604 [-16*f(x)*x^2+17*f(x)*x-f(x)+12*x ogf] A108020 17.2986 [12*x/(16*x-1)/(x-1) ogf] A108020 20.3773 [-(-17+32*x)/(16*x-1)/(x-1) lgdogf] A108020 8.23742 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=0,a(1)=12} ogf] A108020 9.46090 [-1/32*(-17*x-12+(25*x+12)^(1/2)*(4+3*x)^(1/2)*3^(1/2))/x revogf] A108033 4.09301 [{(20*n^2+120*n+160)*a(n+1)+(3*n^2+7*n+64)*a(n+2)+(-6-3*n)*a(n+3),a(0)=0,a(1)=2,a(2)=40} ogf] A108033 9.26312 [-2*x*(5*x+1)/(x-1)^5 egf] A108034 13.3813 [-(83+332*x+116*x^2+36*x^3)/(x-1)/(6*x^3+14*x^2+38*x+5) lgdegf] A108051 12.6060 [-x*(2*x+1)/(4*x^2+4*x-1) ogf] A108051 14.4830 [1/4*(-1-4*x+(1+16*x+32*x^2)^(1/2))/(1+2*x) revogf] A108051 16.0075 [-2*(3+4*x+4*x^2)/(2*x+1)/(4*x^2+4*x-1) lgdogf] A108051 6.11576 [{a(n+3)-4*a(n+2)-4*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A108051 7.26697 [-f(x)*(4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+x) ogf] A108057 7.59894 [(x-1)*(x^2+1)*(x^7-x^6+x^4+x^3-2*x^2-x-1)/(x^2-x+1)/(x^6-x^3+1)/(x+1)^2 ogf] A108068 10.5726 [(4+3*x^2+20*x^4+22*x^10+92*x^22+35*x^34+94*x^46)/(4+4*x+x^3+4*x^5+2*x^11+4*x^23+x^35+2*x^47) lgdogf] A108069 10.5726 [(2+3*x^2+10*x^4+22*x^10+46*x^22+35*x^34+94*x^46)/(1+2*x+x^3+2*x^5+2*x^11+2*x^23+x^35+2*x^47) lgdogf] A108080 6.4918 [4*f(x)^2*x^3+15*f(x)^2*x^2-8*f(x)^2*x-4*f(x)*x^2+f(x)^2+5*f(x)*x+x^2-f(x) ogf] A108081 6.15395 [4*f(x)^2*x^3+15*f(x)^2*x^2-8*f(x)^2*x-4*f(x)*x^2+f(x)^2+5*f(x)*x-f(x)+x ogf] A108095 18.191 [-x^2-14*x-1+f(x)^2 ogf] A108095 41.4393 [(7+x)/(x^2+1+14*x) lgdogf] A108095 5.01821 [{(n+3)*a(n+3)+(21+14*n)*a(n+2)+n*a(n+1),a(0)=1,a(1)=7,a(2)=-24} ogf] A108099 10.0754 [1/3*(2*HeunG(4/9,1/4,-1/6,1/6,1/2,-1,-3/2*x)*(27*x+8)^(1/2)*2^(1/2)-8+3*x)/(4+x) revogf] A108099 13.4618 [-4*(x+1)^2/(x-1)^3 ogf] A108099 38.8657 [[5-2*x] ogf_with_Euler_transform] A108099 44.7796 [-(5+x)/(x-1)/(x+1) lgdogf] A108099 7.20324 [(19*f(x)-120)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+8*x+4) ogf] A108099 7.20324 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=20,a(2)=52} ogf] A108100 13.5075 [-2*(5*x^2+2*x+1)/(x-1)^3 ogf] A108100 23.4925 [-(5+14*x+5*x^2)/(x-1)/(5*x^2+2*x+1) lgdogf] A108100 7.28231 [(44*f(x)-205)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+4*x+2) ogf] A108100 7.34618 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=10,a(2)=34} ogf] A108104 15.9146 [-(1+2*x+5*x^6+6*x^5+x^2)/(x+1)/(x^6+x^2-1) lgdogf] A108104 16.6764 [-(x+1)/(x^6+x^2-1) ogf] A108105 6.91459 [-f(x)*(2*f(x)*x^5+x^4+x^3+x^2-f(x)+x+1) ogf] A108105 7.41573 [-(1+2*x+2*x^8+6*x^6+8*x^5+4*x^7+10*x^4+4*x^3+3*x^2)/(x^4+x^3+x^2+x+1)/(2*x^5-1) lgdogf] A108105 9.25492 [-(x^4+x^3+x^2+x+1)/(2*x^5-1) ogf] A108118 11.0172 [(x^2+1)^2/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A108118 15.0972 [-(2+4*x+x^4+5*x^3+x^5-5*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2-x+1) lgdogf] A108118 21.6865 [x^5-2*x^3-x^2+2*x+2 ogf_with_Euler_transform] A108120 5.21605 [(2*x^15+x^14+x^13+x^12+x^11+2*x^10+x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A108122 13.9817 [(2*x^2-1)/(x^3+2*x^2+x-1) ogf] A108122 18.2059 [-(-1+2*x^4-5*x^2)/(2*x^2-1)/(x^3+2*x^2+x-1) lgdogf] A108122 7.11569 [{-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A108122 7.4482 [(f(x)-1)*(f(x)*x^3+2*f(x)*x^2+f(x)*x-2*x^2-f(x)+1) ogf] A108136 10.8425 [(4*x^2+2*x-1)/(x^3+2*x^2+3*x-1) ogf] A108136 11.1787 [-(x-1)*(4*x^3+8*x^2-3*x+1)/(4*x^2+2*x-1)/(x^3+2*x^2+3*x-1) lgdogf] A108136 5.90530 [{-a(n+3)+3*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A108136 5.9585 [(3*f(x)-4)*(f(x)*x^3+2*f(x)*x^2+3*f(x)*x-4*x^2-f(x)-2*x+1) ogf] A108140 5.67827 [(1-6*x+37*x^4-26*x^8-20*x^9+6*x^10+20*x^6+104*x^7-116*x^5+9*x^2)/(x^2-3*x+1)/(x^2+x-1)/(2*x^7-2*x^6-8*x^5-2*x^3+3*x-1) lgdogf] A108140 7.31441 [(2*x^7-2*x^6-8*x^5-2*x^3+3*x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A108142 4.29888 [(2*x^11+6*x^10-8*x^8-18*x^7-6*x^6-5*x^5-7*x^4-4*x^3+5*x-1)/(x^3+x^2-5*x+1)/(x^3+x^2+x-1) ogf] A108143 10.4262 [-(1-8*x+16*x^2+8*x^3+3*x^4)/(3*x^2+4*x-1)/(x^3+x^2-5*x+1) lgdogf] A108143 5.41971 [{-a(n+3)+5*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A108143 5.46854 [(3*f(x)+2)*(f(x)*x^3+f(x)*x^2-5*f(x)*x+3*x^2+f(x)+4*x-1) ogf] A108143 9.95095 [-(3*x^2+4*x-1)/(x^3+x^2-5*x+1) ogf] A108146 11.1302 [-(2*x^2+3*x-1)/(x^3+x^2-4*x+1) ogf] A108146 11.8886 [-(1-6*x+8*x^2+6*x^3+2*x^4)/(2*x^2+3*x-1)/(x^3+x^2-4*x+1) lgdogf] A108146 6.06199 [{-a(n+3)+4*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A108146 7.62857 [-f(x)*x^3-f(x)*x^2+4*f(x)*x-2*x^2-f(x)-3*x+1 ogf] A108152 12.4791 [(3*x-1)/(x^3+2*x^2+3*x-1) ogf] A108152 15.1540 [-x*(-4+6*x^2+3*x)/(3*x-1)/(x^3+2*x^2+3*x-1) lgdogf] A108152 5.95850 [{-a(n+3)+3*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A108152 6.23956 [(63*f(x)-127)*(f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)-3*x+1) ogf] A108153 16.3327 [-x/(x^3+2*x^2+3*x-1) ogf] A108153 22.6589 [-(3+4*x+3*x^2)/(2*x^2-1+3*x+x^3) lgdogf] A108153 6.62137 [{-a(n+3)+3*a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A108153 9.54509 [f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A108155 4.78716 [-(2*x^15+4*x^14+6*x^13+8*x^12+10*x^11+15*x^10+20*x^9+21*x^8+20*x^7+17*x^6+12*x^5+5*x^4+2*x^3-x-1)/(x^4+x^3+x^2+x+1)/(2*x^5-1) ogf] A108177 6.50374 [-(16*x^10+32*x^9+48*x^8+56*x^7+48*x^6+24*x^5+16*x^4+8*x^3-x-1)/(4*x^3-1)/(4*x^3+1)/(x^2+x+1) ogf] A108178 5.13763 [-(4*x^4+31*x^3+46*x^2+16*x+1)/(x-1)^9 ogf] A108178 9.93529 [-(25+220*x+20*x^4+202*x^3+415*x^2)/(x-1)/(4*x^4+31*x^3+46*x^2+16*x+1) lgdogf] A108188 3.04594 [{(n+4)*a(n+1)+(n+4)*a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=6} ogf] A108189 4.42652 [{(n+4)*a(n+1)+(n+4)*a(n+2)-a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A108195 13.4619 [(x^2+2*x-5)/(x-1)^3 ogf] A108195 25.1752 [-(-13+6*x+x^2)/(x-1)/(x^2+2*x-5) lgdogf] A108195 7.07909 [(124*f(x)-2655)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)-2*x+5) ogf] A108195 7.20328 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=13,a(2)=23} ogf] A108196 4.4769 [-(2104*f(x)-1019)*(f(x)*x^4-3*f(x)*x^3+8*f(x)*x^2-3*f(x)*x-x^2+f(x)+1) ogf] A108196 9.29818 [(x-1)*(x+1)/(x^4-3*x^3+8*x^2-3*x+1) ogf] A108196 9.46800 [-(3-18*x+12*x^2-4*x^3-3*x^4+2*x^5)/(x-1)/(x+1)/(x^4-3*x^3+8*x^2-3*x+1) lgdogf] A108204 3.91854 [{(n+2)*a(n+1)+(-2*n-4)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A108205 4.11779 [{(-n-2)*a(n+1)+(-2*n-4)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A108206 4.06390 [{(-n-2)*a(n+1)+(-3*n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A108207 3.99610 [{(-2-n)*a(n+1)+(5*n+10)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A108208 4.45508 [{(2*n+4)*a(n+1)+(-4*n-8)*a(n+2)+a(n+3),a(0)=0,a(1)=2,a(2)=8} ogf] A108209 4.05044 [{(-2*n-4)*a(n+1)+(5*n+10)*a(n+2)-a(n+3),a(0)=0,a(1)=2,a(2)=10} ogf] A108210 4.09241 [{(-3*n-6)*a(n+1)+(5*n+10)*a(n+2)-a(n+3),a(0)=0,a(1)=3,a(2)=15} ogf] A108211 12.2963 [-(x^2+14*x+17)/(x-1)^3 ogf] A108211 6.56496 [(188*f(x)-3871)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+14*x+17) ogf] A108211 6.67815 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=65,a(2)=145} ogf] A108213 10.5687 [-1/14*7^(1/2)*14^(1/2)*(arcsinh(1/7*7^(1/2))-arcsinh(1/77*7^(1/2)*(11+x))) revegf] A108213 12.0702 [{-a(n+2)+2*a(n),a(0)=44,a(1)=22} ogf] A108213 16.9496 [-2*f(x)*x^2+f(x)-22*x-44 ogf] A108213 18.5263 [-22*(x+2)/(2*x^2-1) ogf] A108213 26.0694 [-(1+8*x+2*x^2)/(x+2)/(2*x^2-1) lgdogf] A108214 4.65874 [{(n^2+7*n+12)*a(n+1)-a(n+2),a(0)=8,a(1)=48} ogf] A108246 29.7190 [2-2*x+x^2+(-2+2*x)*f(x) lgdegf] A108246 3.70255 [{(-n^2-5*n-6)*a(n+1)+(2*n+6)*a(n+2)+(-2*n-8)*a(n+3)+2*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A108248 37.6310 [x^23-x+2 ogf_with_Euler_transform] A108261 5.00855 [-(5*x-1)*(x-2)/(x-1)/(x^2-6*x+1) ogf] A108261 5.9226 [(2948*f(x)+377)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+5*x^2-f(x)-11*x+2) ogf] A108262 4.24729 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=3,a(1)=8,a(2)=39} ogf] A108262 6.01186 [(236312*f(x)+59449)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-13*x+3) ogf] A108262 7.31509 [-2*(4-17*x+2*x^4-13*x^3+36*x^2)/(-1+x)/(x-3)/(4*x-1)/(x^2-6*x+1) lgdogf] A108262 7.74103 [-(4*x-1)*(x-3)/(x-1)/(x^2-6*x+1) ogf] A108281 4.05219 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=2926} ogf] A108281 4.12146 [(2926*f(x)+225)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)+15*x) ogf] A108281 7.77760 [-x*(x+15)/(x-1)/(x^2-194*x+1) ogf] A108281 8.78733 [-2*(1463-2925*x-75*x^2+x^3)/(x+15)/(x-1)/(x^2-194*x+1) lgdogf] A108300 14.3061 [-(2*x+1)/(x^2+3*x-1) ogf] A108300 15.3878 [1/2/(2+x)*(-1-3*x+((x+1)*(13*x+1))^(1/2)) revogf] A108300 18.5559 [-(5+2*x+2*x^2)/(2*x+1)/(x^2+3*x-1) lgdogf] A108300 7.85093 [{a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A108300 8.81445 [(17*f(x)+8)*(f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A108304 4.84538 [{(9*n^2+27*n)*a(n)+(-10*n^2-64*n-84)*a(n+1)+(n^2+13*n+42)*a(n+2),a(0)=1,a(1)=1} ogf] A108306 15.6652 [-(3*x+1)/(3*x^2+3*x-1) ogf] A108306 15.8108 [1/6*(-1-3*x+(1+18*x+21*x^2)^(1/2))/(1+x) revogf] A108306 16.6429 [-3*(2+2*x+3*x^2)/(3*x+1)/(3*x^2+3*x-1) lgdogf] A108306 7.74653 [-(61*f(x)+83)*(3*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) ogf] A108306 8.59677 [{a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A108307 4.06813 [{(8*n^2+48*n+64)*a(n+1)+(7*n^2+67*n+148)*a(n+2)+(-n^2-17*n-72)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A108308 6.65 [-f(x)^2*x^3+f(x)^2*x-2*f(x)^2-f(x)*x+4*f(x)-2 ogf] A108308 7.73692 [1/2*(-1+8*x+3*x^2-24*x^3+(-(-1+8*x)*(x^2-12*x+1)^2)^(1/2))/(-1+8*x)/(x^3-x+2) lgdogf] A108351 9.09616 [(x^2+x-1)/(x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A108351 9.80261 [-(1+x-4*x^2-4*x^3+x^4+9*x^5+4*x^6)/(x-1)/(x+1)/(x^2+x-1)/(x^3+x^2+x-1) lgdogf] A108354 14.1291 [1/(x^2+1)^2/(x-1)^2 ogf] A108354 29.6407 [[2*x^3-2*x+2] ogf_with_Euler_transform] A108354 30.2387 [-2*(-2*x+1+3*x^2)/(x-1)/(1+x^2) lgdogf] A108355 11.1234 [(2*x^2+1)/(x^2+1)^2/(x-1)^2 ogf] A108356 14.0338 [(x^2+x+1)*(x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A108356 27.5592 [x^7-x^5+x+1 ogf_with_Euler_transform] A108357 11.4523 [-2*x*(1+2*x^2+4*x^6+3*x^8+2*x^10)/(x-1)/(1+x)/(1+x^2)/(1+x^4)/(x^2+x+1)/(x^2-x+1) lgdogf] A108357 12.4521 [-(x^2+x+1)*(x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A108357 17.7984 [x*(x^6-x^4+1) ogf_with_Euler_transform] A108360 14.8600 [-2*(1-2*x+4*x^3-x^2)/(x-1)/(2*x-1)/(x^2+2*x-1) lgdogf] A108360 8.10501 [(2*x-1)^2/(x-1)^2/(x^2+2*x-1)^2 ogf] A108361 6.53509 [(x^2+x-1)^2/(x+1)/(x-1)^2/(x^3+x^2+x-1)^2 ogf] A108361 9.83407 [-(1+x-3*x^4-6*x^3+5*x^6+11*x^5-x^2)/(x-1)/(1+x)/(x^2+x-1)/(x^3+x^2+x-1) lgdogf] A108362 11.2725 [-x*(-4+3*x^3+4*x^2+x^5-2*x^4-3*x)/(x^2+x-1)/(x^2-x-1)/(x^3-x^2+1) lgdogf] A108362 12.1919 [(x^3-x^2+1)/(x^2+x-1)/(x^2-x-1) ogf] A108362 7.22042 [-(50*f(x)+27)*(f(x)*x^4-3*f(x)*x^2-x^3+x^2+f(x)-1) ogf] A108368 16.9919 [-x/(x^3+3*x^2+3*x-1) ogf] A108368 26.9553 [-3*(1+x)^2/(3*x^2-1+3*x+x^3) lgdogf] A108368 6.88860 [{-a(n+3)+3*a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A108368 9.93031 [-f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A108369 17.6318 [-x/(x^3-3*x^2-3*x-1) ogf] A108369 22.6102 [-3*(-1-2*x+x^2)/(-3*x^2-1-3*x+x^3) lgdogf] A108369 6.51265 [{a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=-3} ogf] A108369 6.951 [-(23*f(x)-3)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x-f(x)+x) ogf] A108390 8.18776 [(x^8+x^7+x^6+4*x^5-4*x^4-4*x^3-x^2-x-1)/(x+1)/(x^2-x+1)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A108391 8.92219 [-(x^8+x^7+3*x^6+8*x^5+4*x^4+3*x^2-x+1)/(x+1)/(x^2-x+1)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A108404 13.0385 [-(4*x-1)/(11*x^2-8*x+1) ogf] A108404 13.9903 [-2*(2-11*x+22*x^2)/(-1+4*x)/(11*x^2-8*x+1) lgdogf] A108404 6.66412 [-(5*f(x)+3)*(11*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A108404 7.22614 [{a(n+2)-8*a(n+1)+11*a(n),a(0)=1,a(1)=4} ogf] A108411 10.7216 [{-a(n+2)+3*a(n),a(0)=1,a(1)=1} ogf] A108411 12.4243 [(12*f(x)-11)*(3*f(x)*x^2-f(x)+x+1) ogf] A108411 16.7362 [-(x+1)/(3*x^2-1) ogf] A108411 18.1611 [1/2/(1+3*x)*(-1+(1+4*x+12*x^2)^(1/2)) revogf] A108411 21.6762 [-(1+6*x+3*x^2)/(x+1)/(-1+3*x^2) lgdogf] A108412 11.9364 [-(-1-10*x+3*x^4+4*x^3+2*x^5-4*x^2)/(x^2+x+1)/(x^4-4*x^2+1) lgdogf] A108412 12.3911 [(x^2+x+1)/(x^4-4*x^2+1) ogf] A108412 7.06295 [-(142*f(x)+25)*(f(x)*x^4-4*f(x)*x^2-x^2+f(x)-x-1) ogf] A108413 11.3771 [(2*x^3+5*x^2+x+1)/(x^4+4*x^2+1) ogf] A108413 7.3219 [(2*f(x)-3)*(f(x)*x^4+4*f(x)*x^2-2*x^3-5*x^2+f(x)-x-1) ogf] A108413 9.66397 [-(-1-2*x-5*x^4+4*x^3+2*x^6+10*x^5-2*x^2)/(2*x^3+5*x^2+x+1)/(x^4+4*x^2+1) lgdogf] A108424 40.1160 [-x*(x-1)^2/(-2+x) revogf] A108424 9.01495 [-f(x)^3*x^2+2*f(x)^2*x-f(x)*x-f(x)+2 ogf] A108427 5.49067 [-4*f(x)^3*x^4-44*f(x)^3*x^3+4*f(x)^3*x^2-4*f(x)^2*x^3-44*f(x)^2*x^2+4*f(x)^2*x-13*f(x)*x+f(x)-1 ogf] A108427 8.38997 [1/8*(5*(1+2*x)^(3/2)*(10*x+1)^(1/2)*x+(1+2*x)^(3/2)*(10*x+1)^(1/2)-1-13*x-44*x^3-44*x^2)/x^2/(1+x) revogf] A108432 12.5039 [1/2/(-1+2*x)^2*(1-3*x+(1-10*x+17*x^2)^(1/2))*x revogf] A108432 4.42551 [8*f(x)^3*x^3+6*f(x)^3*x^2-x*f(x)^3-12*f(x)^2*x^2-5*f(x)^2*x+6*f(x)*x+f(x)-1 ogf] A108434 14.0288 [1/2/(x-1)^2*(1-2*x+(1-8*x+8*x^2)^(1/2))*x revogf] A108434 4.48216 [-f(x)^3*x^3-2*f(x)^3*x^2+x*f(x)^3+3*f(x)^2*x^2+3*f(x)^2*x-3*f(x)*x-f(x)+1 ogf] A108436 6.07484 [-f(x)^3*x^4+2*f(x)^2*x^3+2*f(x)^2*x^2+7*f(x)*x-f(x)+2 ogf] A108436 9.11827 [-1/2*(3*(4*x+1)^(1/2)*x+2*(4*x+1)^(1/2)-2-7*x-2*x^2)/x^2/(x-2) revogf] A108442 7.93 [f(x)^3*x^2+f(x)^3-f(x)^2*x-3*f(x)^2+f(x)*x+3*f(x)-1 ogf] A108447 15.4552 [-1/2*(1-x+((5*x-1)*(x-1))^(1/2))/(x-1)*x revogf] A108447 8.18926 [-x*f(x)^3-f(x)^2*x+f(x)*x+f(x)-1 ogf] A108448 6.04223 [4*f(x)^3*x^3+44*f(x)^3*x^2-4*x*f(x)^3-3*f(x)*x+f(x)-1 ogf] A108448 8.35701 [-1/2*(1+44*x^2+((20*x^2+4*x+1)*(-1+10*x)^2)^(1/2))*x/(x-1)/(1+2*x)^2 revogf] A108474 17.9656 [-1/(2*x-1)/(4*x^2+1) ogf] A108474 20.1152 [-2*(-4*x+1+12*x^2)/(2*x-1)/(4*x^2+1) lgdogf] A108474 5.98855 [{a(n+3)-2*a(n+2)+4*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=0} ogf] A108474 6.45368 [-(f(x)-1)*(8*f(x)*x^3-4*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A108475 13.1927 [-(3*x-1)/(x+1)/(x^2-6*x+1) ogf] A108475 6.18773 [{-a(n+3)+5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=15} ogf] A108475 6.3565 [(22280*f(x)-3527)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A108476 10.0571 [-2*(1+12*x-36*x^2+32*x^3)/(2*x+1)/(-1+4*x)/(4*x^2-8*x+1) lgdogf] A108476 10.6515 [-(4*x-1)/(2*x+1)/(4*x^2-8*x+1) ogf] A108476 5.04544 [{-a(n+3)+6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=24} ogf] A108476 5.09009 [-(1191*f(x)-263)*(8*f(x)*x^3-12*f(x)*x^2-6*f(x)*x+f(x)+4*x-1) ogf] A108478 6.68414 [-(x-1)*(9*x^7+x^6-3*x^5-19*x^4-21*x^3-29*x^2-x-1)/(3*x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-3*x^2-x-1) lgdogf] A108478 7.03611 [-(3*x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-3*x^2-x-1) ogf] A108479 10.0043 [-(x^2+x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A108479 11.6694 [-(1+x^4-8*x^3+2*x^5+7*x^2)/(x^2+x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A108479 5.26943 [(48*f(x)-17)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1) ogf] A108480 4.91183 [(146*f(x)-53)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A108480 8.47106 [-(1+2*x+4*x^4-24*x^3+16*x^5+13*x^2)/(2*x-1)/(x+1)/(4*x^4-4*x^3-3*x^2-2*x+1) lgdogf] A108480 9.39655 [-(x+1)*(2*x-1)/(4*x^4-4*x^3-3*x^2-2*x+1) ogf] A108481 9.26426 [-(-3*x^4-x^3+x+3)/(-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A108482 9.67259 [-(x^4+x^3-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A108483 11.0534 [-(x^4-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A108484 4.6521 [-(464*f(x)-165)*(9*f(x)*x^4-6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+3*x^2+f(x)+x-1) ogf] A108484 8.55428 [-(1+4*x+19*x^2-48*x^3+9*x^4+54*x^5)/(3*x^2+x-1)/(9*x^4-6*x^3-5*x^2-2*x+1) lgdogf] A108484 9.23678 [-(3*x^2+x-1)/(9*x^4-6*x^3-5*x^2-2*x+1) ogf] A108485 5.29982 [(79*f(x)-25)*(4*f(x)*x^4-8*f(x)*x^3-4*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A108485 8.37624 [-2*(1-2*x+16*x^2-24*x^3+4*x^4+8*x^5)/(2*x^2+2*x-1)/(4*x^4-8*x^3-4*x+1) lgdogf] A108485 9.81769 [-(2*x^2+2*x-1)/(4*x^4-8*x^3-4*x+1) ogf] A108486 4.27142 [(215*f(x)-78)*(36*f(x)*x^4-24*f(x)*x^3-8*f(x)*x^2-4*f(x)*x+6*x^2+f(x)+2*x-1) ogf] A108486 8.06155 [-(6*x^2+2*x-1)/(36*x^4-24*x^3-8*x^2-4*x+1) ogf] A108487 3.65957 [-(261*f(x)-41)*(100*f(x)*x^4-200*f(x)*x^3+80*f(x)*x^2-20*f(x)*x+10*x^2+f(x)+10*x-1) ogf] A108487 5.60483 [-10*(1-18*x+200*x^5-440*x^3+100*x^4+160*x^2)/(10*x^2+10*x-1)/(100*x^4-200*x^3+80*x^2-20*x+1) lgdogf] A108487 6.84386 [-(10*x^2+10*x-1)/(100*x^4-200*x^3+80*x^2-20*x+1) ogf] A108488 13.5267 [-(-1-3*x+8*x^3-6*x^2)/(-3*x^2+1-2*x+4*x^4-4*x^3) lgdogf] A108488 6.69155 [4*f(x)^2*x^4-4*f(x)^2*x^3-3*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A108489 13.2984 [-(-1-5*x+18*x^3-9*x^2)/(-5*x^2+1-2*x+9*x^4-6*x^3) lgdogf] A108489 6.71365 [-9*f(x)^2*x^4+6*f(x)^2*x^3+5*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A108490 11.1048 [-2*(-1-4*x-18*x^2+36*x^3)/(-8*x^2+1-4*x+36*x^4-24*x^3) lgdogf] A108490 6.05967 [-36*f(x)^2*x^4+24*f(x)^2*x^3+8*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A108494 15.8615 [-(2*x^2-x+2)/(-x^4+1) ogf_with_Euler_transform] A108494 99.9999 Evaluated at exp(-Pi) 1/2*2^(7/8) A108495 4.72188 [7*x^2*(3*x^4+28*x^3+58*x^2+28*x+3)/(x-1)^8 ogf] A108495 9.48682 [-4*(13+78*x+3*x^4+38*x^3+108*x^2)/(x-1)/(3*x^4+28*x^3+58*x^2+28*x+3) lgdogf] A108520 25.8889 [1/(2*x^2+2*x+1) ogf] A108520 35.2930 [-2*(2*x+1)/(1+2*x^2+2*x) lgdogf] A108520 9.15584 [{a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=-2} ogf] A108520 9.26887 [(f(x)-4)*(2*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A108522 12.5892 [(2*ln(x+1)*exp(1)+Ei(1,-1-x)-Ei(1,-1))/exp(1) revegf] A108524 12.6583 [-(x-1)*(-1+(1-8*x+4*x^2)^(1/2))/(x-2)/x/(1-8*x+4*x^2)^(1/2) lgdogf] A108524 12.8738 [-f(x)^2*x^2+2*f(x)^2*x-f(x)+1 ogf] A108524 3.76017 [{(-4*n-8)*a(n+1)+(16*n+44)*a(n+2)+(-17*n-61)*a(n+3)+(2*n+10)*a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=32} ogf] A108524 33.9474 [x*(-1+2*x)/(x-1)/(1+x) revogf] A108550 3.49406 [(88483+183170*f(x))*(3*f(x)*x^4-16*f(x)*x^3+2*x^4+24*f(x)*x^2-10*x^3-12*f(x)*x+8*x^2+f(x)+6*x-2) ogf] A108550 6.20293 [-2*(x^2-4*x+1)*(x^2-x-1)/(3*x^2-10*x+1)/(x-1)^2 ogf] A108550 6.84176 [-(-9+47*x-136*x^2+96*x^3-23*x^4+x^5)/(x-1)/(x^2-4*x+1)/(3*x^2-10*x+1)/(x^2-x-1) lgdogf] A108555 4.34413 [(x^3+x^2+x-1)*(2*x^5+5*x^4-4*x^3+10*x^2-6*x+1)/(x^3+x^2+3*x-1)/(x-1)^2/(x^2+2*x-1)^2 ogf] A108557 5.75414 [(12*x^5-80*x^4+33*x^3+19*x^2-9*x+1)/(x^2-6*x+1)/(3*x-1)^2 ogf] A108563 4.01315 [-(-2*x^12+2*x^10-5*x^8+2*x^7+x^6-3*x^5-2*x^4+3*x^3-2*x^2-2*x)/(x^13+x^10+x^9+x^7+x^6+x^4+x^3+1) ogf_with_Euler_transform] A108563 99.9999 Evaluated at exp(-Pi) 1/12/Pi^(1/4)*2^(1/12)*3^(1/2)*GAMMA(5/6)^(1/2)/GAMMA(7/8)*GAMMA(5/8)/GAMMA(11/12)*(1+3^(1/2))*(1+2^(1/2)) A108576 6.73567 [8*x^9*(2*x^2+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A108576 7.58028 [-2*(1+3*x+18*x^7+2*x^8+5*x^6+15*x^5+10*x^9+6*x^4+8*x^3+4*x^2)/(x-1)/(x+1)/(2*x^2+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A108577 6.78297 [x^9*(2*x^2+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A108577 7.57617 [-2*(1+3*x+6*x^4+8*x^3+10*x^9+2*x^8+18*x^7+5*x^6+15*x^5+4*x^2)/(x-1)/(1+x)/(2*x^2+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A108578 10.2285 [-8*x^4*(2*x+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A108578 13.5224 [-(3+8*x+18*x^3+10*x^4+15*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A108579 11.3716 [-x^4*(2*x+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A108579 14.8409 [-(3+8*x+10*x^4+18*x^3+15*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A108589 10.1038 [-(5+11*x+18*x^4+19*x^3+6*x^6+12*x^5+17*x^2)/(x-1)/(1+x)/(3*x^3+3*x^2+3*x+2)/(1+x^2) lgdogf] A108589 12.3922 [(3*x^3+3*x^2+3*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A108600 4.88792 [-f(x)^2*x^4-2*f(x)*x^3-4*f(x)^2*x-f(x)*x^2+f(x)^2+4*f(x)*x-x^2-f(x)-2*x ogf] A108623 38.5941 [x*(x-1)/(-1+x+x^2) revogf] A108623 8.17286 [-1/2*(-3*x+1+2*x*(1-2*x+5*x^2)^(1/2)-(1-2*x+5*x^2)^(1/2))/(1-2*x+5*x^2)^(1/2)/x/(x-1) lgdogf] A108623 8.47242 [f(x)^2*x^2-f(x)^2*x+f(x)*x+f(x)-1 ogf] A108624 34.4130 [-x*(1+x)/(-1-x+x^2) revogf] A108624 7.69232 [-1/2*(-3*x-1+2*x*(1+2*x+5*x^2)^(1/2)+(1+2*x+5*x^2)^(1/2))/(x+1)/(1+2*x+5*x^2)^(1/2)/x lgdogf] A108624 7.9012 [-f(x)^2*x^2-f(x)^2*x+f(x)*x-f(x)+1 ogf] A108626 18.1523 [-2*(-1+x+x^3)/(x-1)/(x^3+x^2+3*x-1) lgdogf] A108626 8.00446 [f(x)^2*x^4+2*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A108627 10.1917 [-(3-4*x+x^6-x^2+4*x^3+x^4)/(x-1)/(x^3+x-1)/(x^3+x^2+3*x-1) lgdogf] A108627 5.29676 [(55*f(x)-113)*(f(x)*x^4+2*f(x)*x^2+2*x^3-4*f(x)*x+f(x)+2*x-2) ogf] A108627 9.89885 [-2*(x^3+x-1)/(x-1)/(x^3+x^2+3*x-1) ogf] A108629 6.52411 [f(x)^2*x^3+f(x)^2*x^2+f(x)^2*x-f(x)*x-f(x)+1 ogf] A108630 12.2805 [1/2/(x^2+1)*(-1+x-x^2+(1+2*x-x^2+2*x^3-3*x^4)^(1/2)) revogf] A108630 6.58201 [f(x)^2*x^3+f(x)^2*x^2+f(x)^2*x-f(x)*x-f(x)+x+1 ogf] A108642 10.4825 [-(46-88*x+307*x^4+974*x^3-249*x^2)/(x-1)/(307*x^4-127*x^3+44*x^2-44*x+18) lgdogf] A108642 7.64045 [-(307*x^4-127*x^3+44*x^2-44*x+18)/(x-1)^5 ogf] A108645 5.16187 [-(5*x^4+37*x^3+52*x^2+17*x+1)/(x-1)^9 ogf] A108645 9.98305 [-(26+240*x+25*x^4+242*x^3+475*x^2)/(x-1)/(5*x^4+37*x^3+52*x^2+17*x+1) lgdogf] A108646 5.27334 [(2*x^4+21*x^3+38*x^2+15*x+1)/(x-1)^8 ogf] A108646 9.49977 [-(23+181*x+8*x^4+113*x^3+291*x^2)/(x-1)/(2*x^4+21*x^3+38*x^2+15*x+1) lgdogf] A108647 13.5328 [-20*(1+x)*(x^2+5*x+1)/(x-1)/(4*x^3+18*x^2+12*x+1) lgdogf] A108647 5.49949 [{(n^2+11*n+30)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=20} ogf] A108647 5.83135 [(4*x^3+18*x^2+12*x+1)/(x-1)^8 ogf] A108648 13.4086 [-6*(3+16*x+2*x^3+14*x^2)/(x-1)/(3*x^3+15*x^2+11*x+1) lgdogf] A108648 3.90577 [{(-n^2-9*n-20)*a(n+1)+(3*n^2+27*n+78)*a(n+2)+(-2*n^2-12*n-18)*a(n+3),a(0)=1,a(1)=18,a(2)=120} ogf] A108648 6.64347 [-(3*x^3+15*x^2+11*x+1)/(x-1)^7 ogf] A108649 13.6715 [-(17+86*x+8*x^3+71*x^2)/(x-1)/(2*x^3+13*x^2+10*x+1) lgdogf] A108649 3.46757 [{(-1193*n^2-11641*n-28380)*a(n+1)+(709*n^2-1306*n-13353)*a(n+2)+(484*n^2+2885*n+4299)*a(n+3),a(0)=1,a(1)=17,a(2)=111} ogf] A108649 6.64347 [-(2*x^3+13*x^2+10*x+1)/(x-1)^7 ogf] A108650 18.3319 [-2*(7+26*x+12*x^2)/(x-1)/(6*x^2+8*x+1) lgdogf] A108650 3.51721 [{(n+4)*a(n+4)+(7+7*n)*a(n+3)+(-56-2*n)*a(n+2)+(-30-6*n)*a(n+1),a(0)=1,a(1)=14,a(2)=75,a(3)=260} ogf] A108650 8.07360 [(6*x^2+8*x+1)/(x-1)^6 ogf] A108666 17.6963 [-2*(4-3*x+x^2)/(x-1)/(x^2-6*x+1) lgdogf] A108670 4.86319 [-(3*x+1)*(3*x^3+16*x^2+15*x+1)/(x-1)^9 ogf] A108670 9.26231 [-(27+266*x+45*x^4+342*x^3+580*x^2)/(x-1)/(3*x+1)/(3*x^3+16*x^2+15*x+1) lgdogf] A108671 5.37881 [(3*x^4+27*x^3+44*x^2+16*x+1)/(x-1)^8 ogf] A108671 9.55316 [-(24+200*x+12*x^4+147*x^3+345*x^2)/(x-1)/(3*x^4+27*x^3+44*x^2+16*x+1) lgdogf] A108673 13.1009 [-(19+114*x+24*x^3+123*x^2)/(x-1)/(6*x^3+21*x^2+12*x+1) lgdogf] A108673 3.75549 [{(-37*n^2-317*n-660)*a(n+1)+(54*n^2+305*n+831)*a(n+2)+(-17*n^2-108*n-171)*a(n+3),a(0)=1,a(1)=19,a(2)=133} ogf] A108673 6.73882 [-(6*x^3+21*x^2+12*x+1)/(x-1)^7 ogf] A108674 16.7885 [-3*(5+21*x+x^3+13*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A108674 4.39317 [{(-n^2-8*n-16)*a(n+1)+(2*n^2+14*n+35)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=15,a(2)=84} ogf] A108674 8.19144 [(x+1)*(x^2+8*x+1)/(x-1)^6 ogf] A108675 5.68772 [-(x^4+14*x^3+31*x^2+14*x+1)/(x-1)^7 ogf] A108675 9.94534 [-(21+146*x+197*x^2+60*x^3+3*x^4)/(x-1)/(x^4+14*x^3+31*x^2+14*x+1) lgdogf] A108676 12.9435 [-2*(8+37*x+3*x^3+27*x^2)/(x-1)/(2*x^3+12*x^2+10*x+1) lgdogf] A108676 3.55854 [{(-43*n^2-313*n-564)*a(n+1)+(116*n^2+900*n+2488)*a(n+2)+(-73*n^2-437*n-654)*a(n+3),a(0)=1,a(1)=16,a(2)=93} ogf] A108676 7.00814 [(2*x^3+12*x^2+10*x+1)/(x-1)^6 ogf] A108677 18.5687 [-(3*x+4)*(15*x+4)/(x-1)/(9*x^2+9*x+1) lgdogf] A108677 3.74678 [{(n+4)*a(n+4)+(8+8*n)*a(n+3)-72*a(n+2)+(-54-9*n)*a(n+1),a(0)=1,a(1)=16,a(2)=100,a(3)=399} ogf] A108677 7.22316 [-(9*x^2+9*x+1)/(x-1)^7 ogf] A108678 10.2681 [-(2*x^2+5*x+1)/(x-1)^5 ogf] A108678 21.5306 [-2*(5+12*x+3*x^2)/(x-1)/(2*x^2+5*x+1) lgdogf] A108678 4.03574 [{(n+4)*a(n+4)+(2+4*n)*a(n+3)+(-30-3*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=42,a(3)=120} ogf] A108679 12.2539 [-7*(3+20*x+x^4+12*x^3+30*x^2)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A108679 4.77204 [-(x^4+10*x^3+20*x^2+10*x+1)/(x-1)^11 ogf] A108679 6.28512 [{(n^2+15*n+56)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=21} ogf] A108680 13.2647 [-2*(9+50*x+12*x^3+55*x^2)/(x-1)/(4*x^3+14*x^2+9*x+1) lgdogf] A108680 3.84204 [{(-4*n^2-48*n-140)*a(n+1)+(5*n^2+31*n+78)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=18,a(2)=140} ogf] A108680 5.58011 [-(4*x^3+14*x^2+9*x+1)/(x-1)^9 ogf] A108681 18.1106 [-(15+61*x+36*x^2)/(x-1)/(6*x+1)/(1+x) lgdogf] A108681 3.38397 [{(n+4)*a(n+4)+(3+6*n)*a(n+3)+(-63-n)*a(n+2)+(-42-6*n)*a(n+1),a(0)=1,a(1)=15,a(2)=98,a(3)=420} ogf] A108681 6.44870 [(x+1)*(6*x+1)/(x-1)^8 ogf] A108682 12.9368 [-(17+91*x+20*x^3+96*x^2)/(x-1)/(4*x^3+14*x^2+9*x+1) lgdogf] A108682 4.00345 [{(-179*n^2-1799*n-4350)*a(n+1)+(274*n^2+1867*n+5715)*a(n+2)+(-95*n^2-656*n-1113)*a(n+3),a(0)=1,a(1)=17,a(2)=122} ogf] A108682 6.92770 [(4*x^3+14*x^2+9*x+1)/(x-1)^8 ogf] A108683 18.5255 [-2*(7+27*x+15*x^2)/(x-1)/(6*x+1)/(x+1) lgdogf] A108683 3.55299 [{(n+4)*a(n+4)+(4+6*n)*a(n+3)+(-56-n)*a(n+2)+(-36-6*n)*a(n+1),a(0)=1,a(1)=14,a(2)=83,a(3)=322} ogf] A108683 7.39901 [-(x+1)*(6*x+1)/(x-1)^7 ogf] A108684 14.5456 [-(15+66*x+4*x^3+48*x^2)/(x-1)/(x^3+9*x^2+8*x+1) lgdogf] A108684 3.45171 [{(-696*n^2-7014*n-17670)*a(n+1)+(233*n^2-2819*n-15030)*a(n+2)+(463*n^2+2879*n+4470)*a(n+3),a(0)=1,a(1)=15,a(2)=93} ogf] A108684 6.64044 [-(x^3+9*x^2+8*x+1)/(x-1)^7 ogf] A108704 14.7877 [7+7*x-14*x^2+(-5+16*x-4*x^2)*f(x)+(-2+4*x)*f(x)^2 lgdegf] A108704 3.85746 [{(-2*n^2-10*n-12)*a(n+1)+(n+3)*a(n+2)+(2*n+7)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=18} ogf] A108716 4.28922 [{-a(n+3)+21*a(n+2)-35*a(n+1)+7*a(n),a(0)=3,a(1)=21,a(2)=371} ogf] A108716 4.32619 [(17*f(x)-2)*(7*f(x)*x^3-35*f(x)*x^2+21*f(x)*x+35*x^2-f(x)-42*x+3) ogf] A108716 6.91195 [-7*(3-20*x-84*x^3+114*x^2+35*x^4)/(35*x^2-42*x+3)/(7*x^3-35*x^2+21*x-1) lgdogf] A108716 7.72060 [-(35*x^2-42*x+3)/(7*x^3-35*x^2+21*x-1) ogf] A108732 14.4335 [-11*(x+2)/(2*x^2-1) ogf] A108732 16.3928 [(-11+(121+11*x+2*x^2)^(1/2))/(11+2*x) revogf] A108732 20.2178 [-(1+8*x+2*x^2)/(x+2)/(2*x^2-1) lgdogf] A108732 8.61999 [(36*f(x)-781)*(2*f(x)*x^2-f(x)+11*x+22) ogf] A108732 9.40362 [{-a(n+2)+2*a(n),a(0)=22,a(1)=11} ogf] A108733 22.2808 [-18*x-1+f(x)^3 ogf] A108733 6.72626 [{(-n-2)*a(n+2)+(-12-18*n)*a(n+1),a(0)=1,a(1)=6} ogf] A108733 72.7962 [6/(1+18*x) lgdogf] A108734 24.4339 [24*x+1-f(x)^2 ogf] A108734 7.30735 [{(-n-2)*a(n+2)+(-12-24*n)*a(n+1),a(0)=1,a(1)=12} ogf] A108734 72.4422 [12/(1+24*x) lgdogf] A108734 9.71786 [1/72*sin(2/3*arcsin(36*x*3^(1/2)))*3^(1/2)+1/72*cos(2/3*arcsin(36*x*3^(1/2)))-1/72 revogf] A108735 18.7233 [12*x+1-f(x)^2 ogf] A108735 5.70615 [{(-n-2)*a(n+2)+(-6-12*n)*a(n+1),a(0)=1,a(1)=6} ogf] A108735 61.4125 [6/(1+12*x) lgdogf] A108735 7.48933 [1/36*sin(2/3*arcsin(18*x*3^(1/2)))*3^(1/2)+1/36*cos(2/3*arcsin(18*x*3^(1/2)))-1/36 revogf] A108741 12.5814 [-x*(x+1)/(x-1)/(x^2-98*x+1) ogf] A108741 15.2875 [-2*(50-99*x+x^3-48*x^2)/(x-1)/(x+1)/(x^2-98*x+1) lgdogf] A108741 6.45479 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=100} ogf] A108741 6.6874 [(100*f(x)+1)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+x^2-f(x)+x) ogf] A108742 12.1977 [-(x^2-x-1)/(x^4-2*x^2-x+1) ogf] A108742 12.5855 [-(2+2*x+2*x^5-3*x^4-4*x^3+3*x^2)/(x^2-x-1)/(x^4-2*x^2-x+1) lgdogf] A108742 6.3595 [-(59*f(x)+27)*(f(x)*x^4-2*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A108752 11.7695 [x*(x^2+2*x+3)/(x^2+1)/(x-1)^2 ogf] A108752 4.33925 [{(-3*n-10)*a(n+1)+(3*n+7)*a(n+2)+(-3*n-10)*a(n+3)+(3*n+7)*a(n+4),a(0)=0,a(1)=3,a(2)=8,a(3)=11} ogf] A108752 6.22589 [(204*f(x)+2461)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-3*x) ogf] A108758 6.07011 [-f(x)*(f(x)*x^5-f(x)*x^4-x^5+x^4+2*f(x)*x-x^2-f(x)-x+1) ogf] A108758 9.69642 [(x^5-x^4+x^2+x-1)/(x^5-x^4+2*x-1) ogf] A108765 10.8959 [-(x^2-x+1)/(3*x-1)/(x-1)^2 ogf] A108765 14.4804 [-(-4+8*x+3*x^3-3*x^2)/(x-1)/(3*x-1)/(x^2-x+1) lgdogf] A108765 5.88187 [(193*f(x)-1)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+x^2-f(x)-x+1) ogf] A108765 5.88188 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A108766 12.6506 [(x^3-3*x^2+5*x-1)/(x-1)^4 ogf] A108766 22.9133 [-(1+9*x-3*x^2+x^3)/(x-1)/(x^3-3*x^2+5*x-1) lgdogf] A108766 5.29398 [{(9*n^2+57*n+78)*a(n+1)+(-22*n^2-128*n-174)*a(n+2)+(13*n^2+59*n+60)*a(n+3),a(0)=-1,a(1)=1,a(2)=7} ogf] A108766 7.05865 [(10*f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-5*x+1) ogf] A108781 26.2238 [-(1+7*x+4*x^2)/(x-1)/(8*x^2-x+1) lgdogf] A108781 4.04394 [{(n+4)*a(n+4)+(-7-2*n)*a(n+3)+(11+9*n)*a(n+2)+(-12-8*n)*a(n+1),a(0)=1,a(1)=1,a(2)=5,a(3)=9} ogf] A108781 8.60968 [f(x)^2*x^3-3*f(x)^2*x^2+3*f(x)^2*x-f(x)^2+8*x^2-x+1 ogf] A108791 4.75177 [(20568760*f(x)+4433579)*(f(x)*x^3+19*f(x)*x^2+19*f(x)*x+x^2+f(x)-26*x+5) ogf] A108791 5.07121 [{a(n+3)+19*a(n+2)+19*a(n+1)+a(n),a(0)=-5,a(1)=121,a(2)=-2205} ogf] A108791 9.42928 [-(x^2-26*x+5)/(x+1)/(x^2+18*x+1) ogf] A108791 9.80381 [-(121+188*x+x^4-52*x^3-498*x^2)/(x+1)/(x^2+18*x+1)/(x^2-26*x+5) lgdogf] A108808 6.94857 [2*(x-2)*(x^3-6*x^2+4*x-1)/(4*x^5-6*x^4-91*x^3+75*x^2-23*x+1) ogf] A108812 13.3279 [-(41*x^4+31*x^3+21*x^2+11*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A108812 7.98545 [-(11+42*x+44*x^5+5*x^4+164*x^3+41*x^8+62*x^7+63*x^6+93*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(41*x^4+31*x^3+21*x^2+11*x+1) lgdogf] A108851 12.8450 [(2*x-1)/(3*x^2+4*x-1) ogf] A108851 14.5041 [-2*(-1-3*x+3*x^2)/(2*x-1)/(3*x^2+4*x-1) lgdogf] A108851 6.49466 [(133*f(x)-117)*(3*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A108851 7.04907 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=1,a(1)=2} ogf] A108869 33.2549 [-7+6*x+(1-x)*f(x) lgdegf] A108869 4.24346 [{(-6*n-12)*a(n+1)+(n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=50} ogf] A108896 10.1662 [-(990*x-949)/(10*x-1)/(x-1) ogf] A108896 5.82555 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=949,a(1)=9449} ogf] A108896 6.27624 [-(84959*f(x)+8657510)*(10*f(x)*x^2-11*f(x)*x+f(x)+990*x-949) ogf] A108896 9.39600 [-1/20*(-949-11*x+(900601+16918*x+81*x^2)^(1/2))/(99+x) revogf] A108896 9.75738 [-(9449-18980*x+9900*x^2)/(x-1)/(-1+10*x)/(990*x-949) lgdogf] A108898 17.6814 [-(-1-6*x^2+16*x^3)/(x-1)/(-1+4*x)/(2*x^2+2*x-1) lgdogf] A108898 18.6962 [(4*x-1)/(x-1)/(2*x^2+2*x-1) ogf] A108898 8.95030 [{a(n+3)-3*a(n+2)+2*a(n),a(0)=-1,a(1)=1,a(2)=3} ogf] A108898 9.89796 [(3*f(x)+5)*(2*f(x)*x^3-3*f(x)*x+f(x)-4*x+1) ogf] A108903 10.1662 [-(990*x-959)/(10*x-1)/(x-1) ogf] A108903 4.93785 [-(85969*f(x)+8930210)*(10*f(x)*x^2-11*f(x)*x+f(x)+990*x-959) ogf] A108903 5.82555 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=959,a(1)=9559} ogf] A108903 9.39600 [-1/20*(-959-11*x+(919681+17138*x+81*x^2)^(1/2))/(99+x) revogf] A108903 9.75738 [-(9559-19180*x+9900*x^2)/(x-1)/(990*x-959)/(-1+10*x) lgdogf] A108904 10.1662 [-11*(90*x-89)/(10*x-1)/(x-1) ogf] A108904 10.7954 [-(889-1780*x+900*x^2)/(x-1)/(90*x-89)/(-1+10*x) lgdogf] A108904 5.03373 [-(7999*f(x)+862510)*(10*f(x)*x^2-11*f(x)*x+f(x)+990*x-979) ogf] A108904 5.82555 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=979,a(1)=9779} ogf] A108904 9.39600 [-1/20*(-979-11*x+(958441+17578*x+81*x^2)^(1/2))/(99+x) revogf] A108907 11.9656 [x^6*(x+1)^6*(x^2+x+1)^6*(x^2-x+1)^6 ogf] A108907 18.3022 [6*(2*x+3*x^2+4*x^3+1+5*x^4)/(x+1)/(x+1+x^2)/(x^2-x+1) lgdogf] A108908 5.72114 [(20*x^6+7*x^5+9*x^4+19*x^3+8*x^2+9*x+9)/(x-1)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A108922 15.7067 [1/(x^8+1)/(x-1)^2 ogf] A108922 27.9288 [-2*(1-4*x^7+5*x^8)/(x-1)/(1+x^8) lgdogf] A108922 30.2720 [x^15-x^7+2 ogf_with_Euler_transform] A108923 11.2173 [-1/(x^8+1)/(x-1)^3 ogf] A108923 26.6193 [-(3-8*x^7+11*x^8)/(x-1)/(1+x^8) lgdogf] A108923 27.9177 [x^15-x^7+3 ogf_with_Euler_transform] A108924 10.3677 [-(x+1)*(2*x-1)/(x-1)/(2*x+1)/(4*x-1) ogf] A108924 5.45201 [-(43*f(x)-3)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+x-1) ogf] A108924 5.59674 [{-a(n+3)+3*a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A108924 9.53415 [-2*(1+4*x+8*x^4+8*x^3-12*x^2)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A108928 12.8002 [(3*x+1)*(x-5)/(x-1)^3 ogf] A108928 21.0424 [-(-29-22*x+3*x^2)/(x-5)/(x-1)/(3*x+1) lgdogf] A108928 6.78302 [(484*f(x)-7035)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+14*x+5) ogf] A108928 6.96152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=29,a(2)=69} ogf] A108929 6.68905 [-(4+2*x-3*x^2-4*x^3+9*x^4+2*x^5+9*x^6+4*x^7+x^8)/(x-1)/(x^2+x+1)/(x^2+4*x-1)/(x^4+2*x^3-1) lgdogf] A108929 7.58711 [-(x^4+2*x^3-1)/(x-1)/(x^2+x+1)/(x^2+4*x-1) ogf] A108931 10.1570 [-(3-16*x+4*x^5-9*x^4+4*x^3+18*x^2)/(x-1)/(2*x-1)/(x^2+2*x-1)/(-1-2*x+x^2) lgdogf] A108931 11.5418 [x*(2*x-1)*(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A108931 6.97077 [(344*f(x)+117)*(f(x)*x^4-6*f(x)*x^2-2*x^3+3*x^2+f(x)-x) ogf] A108932 16.0684 [-(x^5+x^4+1)/(x^8-1) ogf_with_Euler_transform] A108946 10.2164 [-(-3+2*x+2*x^5+7*x^4+12*x^3+16*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2+4*x+1) lgdogf] A108946 11.1342 [-(x^2+x+1)/(x-1)/(x+1)/(x^2+4*x+1) ogf] A108946 5.95774 [(838*f(x)-81)*(f(x)*x^4+4*f(x)*x^3-4*f(x)*x+x^2-f(x)+x+1) ogf] A108958 4.14165 [{(8*n^2+44*n+60)*a(n+1)+(-6*n^2-34*n-46)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A108958 5.51182 [-16*f(x)^2*x^4+20*f(x)^2*x^3-8*f(x)^2*x^2+f(x)^2*x+8*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A108961 10.3393 [-(x^6+x^5+x^4-x^3+x^2+x+1)/(x^8-1) ogf_with_Euler_transform] A108961 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)*2^(1/16)/(2-2^(1/2))^(1/4) A108981 13.3781 [-(2*x+1)/(x+1)/(4*x-1) ogf] A108981 14.0351 [1/4*(-1-3*x+(1+14*x+25*x^2)^(1/2))/(1+2*x) revogf] A108981 15.9317 [-(5+8*x+8*x^2)/(-1+4*x)/(2*x+1)/(x+1) lgdogf] A108981 7.00017 [(23*f(x)+2)*(4*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A108981 7.34163 [{a(n+2)-3*a(n+1)-4*a(n),a(0)=1,a(1)=5} ogf] A108982 13.6693 [-(2*x+1)/(x+1)/(5*x-1) ogf] A108982 14.3513 [1/2/(2+5*x)*(-4*x-1+(36*x^2+16*x+1)^(1/2)) revogf] A108982 15.8619 [-2*(3+5*x+5*x^2)/(2*x+1)/(5*x-1)/(x+1) lgdogf] A108982 7.15253 [(17*f(x)+1)*(5*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A108982 7.50143 [{a(n+2)-4*a(n+1)-5*a(n),a(0)=1,a(1)=6} ogf] A108983 13.4635 [-(2*x+1)/(x+1)/(6*x-1) ogf] A108983 14.1353 [1/4*(-5*x-1+(49*x^2+18*x+1)^(1/2))/(1+3*x) revogf] A108983 15.6232 [-(7+12*x+12*x^2)/(6*x-1)/(2*x+1)/(x+1) lgdogf] A108983 7.04488 [(47*f(x)+2)*(6*f(x)*x^2+5*f(x)*x-f(x)+2*x+1) ogf] A108983 7.38852 [{a(n+2)-5*a(n+1)-6*a(n),a(0)=1,a(1)=7} ogf] A108984 12.7152 [1/2/(2+7*x)*(-1-6*x+((4*x+1)*(16*x+1))^(1/2)) revogf] A108984 12.9815 [-(2*x+1)/(x+1)/(7*x-1) ogf] A108984 15.0575 [-2*(4+7*x+7*x^2)/(2*x+1)/(7*x-1)/(x+1) lgdogf] A108984 6.79265 [(31*f(x)+1)*(7*f(x)*x^2+6*f(x)*x-f(x)+2*x+1) ogf] A108984 7.12399 [{a(n+2)-6*a(n+1)-7*a(n),a(0)=1,a(1)=8} ogf] A108985 8.01185 [-(x^2+1)*(x^6-6*x^4-14*x^3-3*x^2+6*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2+2*x-1)/(x^3-x^2-x-1) lgdogf] A108985 8.35882 [-(x+1)*(x^3-x^2-x-1)/(x-1)/(x^2+x+1)/(x^2+2*x-1) ogf] A109002 3.49263 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=9,a(1)=89,a(2)=899} ogf] A109002 3.70011 [(550+819*f(x))*(10*f(x)*x^2-11*f(x)*x-10*x^2+f(x)+10*x-9) ogf] A109002 6.55633 [(10*x^2-10*x+9)/(10*x-1)/(x-1) ogf] A109002 7.11527 [-(-89+160*x+10*x^2)/(-1+x)/(10*x-1)/(10*x^2-10*x+9) lgdogf] A109007 11.8262 [-(7*f(x)-18)*(f(x)*x^3+x^2-f(x)+x+3) ogf] A109007 12.4487 [{-a(n+3)+a(n),a(0)=3,a(1)=1,a(2)=1} ogf] A109007 18.5528 [-(1+2*x+x^4+2*x^3+9*x^2)/(x-1)/(x^2+x+1)/(x^2+x+3) lgdogf] A109007 19.3082 [-(x^2+x+3)/(x-1)/(x^2+x+1) ogf] A109008 12.6147 [f(x)*(f(x)*x^4+x^3+2*x^2-f(x)+x+4) ogf] A109008 12.7074 [-(1+4*x^5+x^6+4*x+3*x^4+16*x^3+3*x^2)/(x-1)/(1+x)/(x^2+1)/(x^3+2*x^2+x+4) lgdogf] A109008 16.5982 [-(x^3+2*x^2+x+4)/(x-1)/(x+1)/(x^2+1) ogf] A109009 10.1938 [-(1+4*x^5+3*x^6+x^8+2*x^7+2*x+25*x^4+4*x^3+3*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+5) lgdogf] A109009 14.5554 [-(x^4+x^3+x^2+x+5)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A109010 11.6802 [-(x^6+x^5+x^4+x^3+x^2+x+7)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A109010 6.92268 [-(2*x+5*x^4+4*x^3+3*x^2+x^12+6*x^5+49*x^6+5*x^8+6*x^7+3*x^10+4*x^9+2*x^11+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+7) lgdogf] A109011 10.6303 [-(x^7+2*x^6+x^5+4*x^4+x^3+2*x^2+x+8)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A109012 9.75361 [-(x^8+x^7+3*x^6+x^5+x^4+3*x^3+x^2+x+9)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A109013 8.95569 [-(x^9+2*x^8+x^7+2*x^6+5*x^5+2*x^4+x^3+2*x^2+x+10)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A109014 8.31875 [-(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+11)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A109015 7.71980 [-(x^11+2*x^10+3*x^9+4*x^8+x^7+6*x^6+x^5+4*x^4+3*x^3+2*x^2+x+12)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A109017 12.5569 [x*(x^2+1)*(x^4-x^2+1)/(x^8-x^4+1) ogf] A109017 16.3616 [-2*x^3*(-2-3*x^2+4*x^4+x^6+x^10)/(1+x^2)/(x^4-x^2+1)/(x^8-x^4+1) lgdogf] A109020 12.5942 [-x*(x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A109020 14.0801 [-2*(6-31*x+16*x^2+21*x^3)/(x-1)/(3*x-1)/(7*x-1)/(x+1) lgdogf] A109020 6.57090 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A109020 6.80769 [(12*f(x)+1)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+x^2-f(x)+x) ogf] A109021 15.5468 [-8*x^2/(x-1)/(3*x-1)/(7*x-1) ogf] A109021 18.9737 [-(11-62*x+63*x^2)/(x-1)/(3*x-1)/(7*x-1) lgdogf] A109021 6.60396 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=0,a(1)=0,a(2)=8} ogf] A109021 8.8839 [21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+8*x^2-f(x) ogf] A109033 16.0620 [1/2-x^2-1/2*(1+4*x^2+4*x^4-4*x)^(1/2) revogf] A109033 9.63505 [-2*f(x)^2*x^2+2*f(x)^2*x-f(x)-x+1 ogf] A109034 11.393 [-x^2+2*x-1+f(x)-2*f(x)^2*x ogf] A109039 5.44621 [-(4*x^11+x^10+x^9+2*x^8+3*x^7+x^6+4*x^5+x^4+3*x^3+2*x^2+x+1)/(-x^12+1) ogf_with_Euler_transform] A109041 15.0448 [-(-6*x^2-9*x-9)/(x^3-1) ogf_with_Euler_transform] A109043 14.3878 [2*x*(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A109043 20.5952 [-(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(1+x^2+x) lgdogf] A109043 34.9830 [-x^2+2*x+1 ogf_with_Euler_transform] A109043 7.63181 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=2,a(2)=2} ogf] A109043 8.68968 [-(f(x)-2)*(f(x)*x^4-2*f(x)*x^2-2*x^3-2*x^2+f(x)-2*x) ogf] A109044 11.2344 [3*x*(x^4+2*x^3+x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A109044 11.5212 [-2*(1+x+3*x^5+x^6+7*x^3+2*x^4+6*x^2)/(x-1)/(1+x^2+x)/(x^4+2*x^3+x^2+2*x+1) lgdogf] A109044 6.81139 [{(-n-4)*a(n+1)+(n+1)*a(n+4),a(0)=0,a(1)=3,a(2)=6,a(3)=3} ogf] A109045 7.39957 [-(1+6*x+24*x^5+12*x^4+20*x^3+2*x^9+3*x^8+12*x^7+5*x^6+3*x^2)/(x-1)/(1+x)/(x^2+1)/(x^6+x^5+3*x^4+x^3+3*x^2+x+1) lgdogf] A109045 8.69774 [4*x*(x^6+x^5+3*x^4+x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A109046 7.27630 [5*x*(x^4+x^3+3*x^2+x+1)*(x^4+x^3-x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A109047 6.29660 [6*x*(x^10+x^9+x^8+2*x^7+5*x^6+x^5+5*x^4+2*x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A109048 5.33890 [7*x*(x^12+2*x^11+3*x^10+4*x^9+5*x^8+6*x^7+x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A109049 4.90727 [8*x*(x^2-x+1)*(x^12+2*x^11+4*x^10+3*x^9+4*x^8+4*x^7+7*x^6+4*x^5+4*x^4+3*x^3+4*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A109050 4.23061 [9*x*(x^14+3*x^13+3*x^12+4*x^11+6*x^10+4*x^9+5*x^8+9*x^7+5*x^6+4*x^5+6*x^4+4*x^3+3*x^2+3*x+1)*(x^2-x+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A109063 9.89022 [-(-4*x^3-3*x^2-2*x-1)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A109064 10.9336 [-(-4*x^4-5*x^3-5*x^2-5*x-5)/(x^5-1) ogf_with_Euler_transform] A109078 4.54908 [-2*f(x)^2*x^4+f(x)^2*x^3-4*f(x)^2*x^2-4*f(x)*x^3+2*f(x)^2*x+4*f(x)*x^2-5*f(x)*x-2*x^2+2*f(x)+3*x-2 ogf] A109081 32.6168 [x*(x-1)^2/(1-x+x^2) revogf] A109081 6.65719 [-f(x)^3*x^2+f(x)^2*x^2+2*f(x)^2*x-f(x)*x-f(x)+1 ogf] A109094 13.1894 [-(-2-8*x+x^5-x^3-3*x^4-11*x^2)/(x-1)/(x+1)/(x^4-2*x^3-x^2-x-1) lgdogf] A109094 8.55369 [x*(x^4-2*x^3-x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A109095 6.38151 [(179*f(x)-3648)*(f(x)*x^3-4*x^4-3*f(x)*x^2+8*x^3+3*f(x)*x-f(x)-8*x+6) egf] A109105 10.5811 [-40*(2*x-1)/(25*x^2-15*x+1) ogf] A109105 12.3752 [-(13-50*x+50*x^2)/(2*x-1)/(25*x^2-15*x+1) lgdogf] A109105 5.40077 [-(29*f(x)+192)*(25*f(x)*x^2-15*f(x)*x+f(x)+80*x-40) ogf] A109105 5.95947 [{a(n+2)-15*a(n+1)+25*a(n),a(0)=40,a(1)=520} ogf] A109105 9.75738 [-1/10*(-40-15*x+(1600+880*x+125*x^2)^(1/2))/(16+5*x) revogf] A109106 10.8016 [-2*(5*x-1)/(25*x^2-15*x+1) ogf] A109106 11.0249 [-1/10*(-2-15*x+(4+20*x+125*x^2)^(1/2))/(2+5*x) revogf] A109106 12.0749 [-5*(2-10*x+25*x^2)/(5*x-1)/(25*x^2-15*x+1) lgdogf] A109106 5.51572 [-(21*f(x)-10)*(25*f(x)*x^2-15*f(x)*x+f(x)+10*x-2) ogf] A109106 6.09973 [{a(n+2)-15*a(n+1)+25*a(n),a(0)=2,a(1)=20} ogf] A109107 16.3221 [-2/(x^2+10*x-1) ogf] A109107 16.9809 [(-1-5*x+(1+10*x+26*x^2)^(1/2))/x revogf] A109107 25.8757 [-2*(5+x)/(x^2-1+10*x) lgdogf] A109107 6.30627 [(10301*f(x)-602)*(f(x)*x^2+10*f(x)*x-f(x)+2) ogf] A109107 6.60656 [{-a(n+2)+10*a(n+1)+a(n),a(0)=2,a(1)=20} ogf] A109108 11.3730 [(x-1)/(x^2+10*x-1) ogf] A109108 12.1808 [1/2/(x-1)*(-10*x-1+(104*x^2+16*x+1)^(1/2)) revogf] A109108 15.9874 [-(-9-2*x+x^2)/(x-1)/(x^2+10*x-1) lgdogf] A109108 5.68649 [-(92*f(x)-11)*(f(x)*x^2+10*f(x)*x-f(x)-x+1) ogf] A109108 6.30310 [{-a(n+2)+10*a(n+1)+a(n),a(0)=1,a(1)=9} ogf] A109109 13.3201 [1/2/(-6+x)*(-10*x-1+(104*x^2-4*x+1)^(1/2)) revogf] A109109 15.1201 [-2*(3*x+2)*(x-1)/(6*x-1)/(x^2+10*x-1) lgdogf] A109109 15.5535 [(6*x-1)/(x^2+10*x-1) ogf] A109109 7.77677 [-(21*f(x)-13)*(f(x)*x^2+10*f(x)*x-f(x)-6*x+1) ogf] A109109 8.62002 [{-a(n+2)+10*a(n+1)+a(n),a(0)=1,a(1)=4} ogf] A109110 11.4267 [-(2*x^2-x-4)/(x^3-x^2-2*x+1) ogf] A109110 12.6586 [-(9+4*x+2*x^4-2*x^3-7*x^2)/(2*x^2-x-4)/(x^3-x^2-2*x+1) lgdogf] A109110 6.00888 [-(6*f(x)+11)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-4) ogf] A109110 6.16842 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=9,a(2)=20} ogf] A109111 4.59331 [(116155*f(x)+18253)*(750*f(x)*x^2-250*f(x)*x+f(x)-10*x-2) ogf] A109111 5.16749 [{-a(n+2)+250*a(n+1)-750*a(n),a(0)=2,a(1)=510} ogf] A109111 8.39243 [-1/10*(-1-125*x+((85*x+1)*(175*x+1))^(1/2))/(-1+75*x) revogf] A109111 9.07753 [-15*(-17+100*x+250*x^2)/(5*x+1)/(750*x^2-250*x+1) lgdogf] A109111 9.09478 [2*(5*x+1)/(750*x^2-250*x+1) ogf] A109112 13.3959 [(x+2)/(3*x^2-6*x+1) ogf] A109112 14.7659 [-(-1-3*x+((1+x)*(1+6*x))^(1/2))/(-1+3*x) revogf] A109112 15.9632 [-(-13+12*x+3*x^2)/(x+2)/(3*x^2-6*x+1) lgdogf] A109112 6.92891 [(66*f(x)+37)*(3*f(x)*x^2-6*f(x)*x+f(x)-x-2) ogf] A109112 7.26283 [{-a(n+2)+6*a(n+1)-3*a(n),a(0)=2,a(1)=13} ogf] A109113 12.9149 [-2*(x+1)/(3*x^2+6*x-1) ogf] A109113 14.2297 [(-1-3*x+((1+2*x)*(1+6*x))^(1/2))/(3*x+2) revogf] A109113 16.7408 [-(7+6*x+3*x^2)/(x+1)/(3*x^2+6*x-1) lgdogf] A109113 6.75781 [(24*f(x)+1)*(3*f(x)*x^2+6*f(x)*x-f(x)+2*x+2) ogf] A109113 7.00207 [{a(n+2)-6*a(n+1)-3*a(n),a(0)=2,a(1)=14} ogf] A109114 13.7962 [-1/2*(-5*x-1+((1+x)*(13*x+1))^(1/2))/(-1+3*x) revogf] A109114 14.0749 [(x+1)/(3*x^2-5*x+1) ogf] A109114 17.7379 [-3*(-2+2*x+x^2)/(1+x)/(3*x^2-5*x+1) lgdogf] A109114 7.28011 [(23*f(x)+25)*(3*f(x)*x^2-5*f(x)*x+f(x)-x-1) ogf] A109114 7.72401 [{-a(n+2)+5*a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A109115 13.0511 [1/2/(3*x+2)*(-4*x-1+((1+2*x)*(14*x+1))^(1/2)) revogf] A109115 13.3258 [-(2*x+1)/(3*x^2+4*x-1) ogf] A109115 17.2735 [-6*(1+x+x^2)/(2*x+1)/(3*x^2+4*x-1) lgdogf] A109115 6.58969 [-(31*f(x)+17)*(3*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A109115 7.31295 [{a(n+2)-4*a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A109116 5.74959 [4*(4*x^4-x^3-105*x^2-73*x-5)/(x-1)^7 ogf] A109117 5.81175 [(27*x^4+398*x^3+636*x^2+138*x+1)/(x-1)^6 ogf] A109117 8.54151 [-6*(24+327*x+623*x^2+217*x^3+9*x^4)/(x-1)/(27*x^4+398*x^3+636*x^2+138*x+1) lgdogf] A109118 4.76958 [2*(x^6-6*x^5+13*x^4-132*x^3-477*x^2-118*x-1)/(x-1)^7 ogf] A109118 6.67247 [-(-125-1662*x-6*x^5+9*x^4-476*x^3+x^6-2781*x^2)/(x-1)/(x^6-6*x^5+13*x^4-132*x^3-477*x^2-118*x-1) lgdogf] A109119 4.08007 [-2*(x^6+1324*x^5+20495*x^4+46360*x^3+20495*x^2+1324*x+1)/(x-1)^7 ogf] A109120 4.80098 [-20*(256*x^4+2771*x^3+4539*x^2+1385*x+49)/(x-1)^7 ogf] A109120 7.19939 [-12*(144+1449*x+64*x^4+1009*x^3+2584*x^2)/(x-1)/(256*x^4+2771*x^3+4539*x^2+1385*x+49) lgdogf] A109121 3.86458 [-10*(243*x^5+8539*x^4+33404*x^3+25068*x^2+3281*x+25)/(x-1)^7 ogf] A109122 4.42643 [-4*(325*x^5+11293*x^4+39262*x^3+24542*x^2+2333*x+5)/(x-1)^7 ogf] A109123 4.54429 [16*(2*x^5-14*x^4+15*x^3-473*x^2-403*x-27)/(x-1)^7 ogf] A109123 7.27525 [-4*(-148-841*x-580*x^2+x^3-8*x^4+x^5)/(x-1)/(2*x^5-14*x^4+15*x^3-473*x^2-403*x-27) lgdogf] A109125 3.90040 [(x^8-7*x^7+17*x^6-9*x^5-26*x^4+37*x^3+5*x^2-23*x-2)/(x-1)^9 ogf] A109125 5.52124 [-(-41-174*x-175*x^4+118*x^3+x^8-6*x^7+2*x^6+66*x^5+146*x^2)/(x-1)/(x^8-7*x^7+17*x^6-9*x^5-26*x^4+37*x^3+5*x^2-23*x-2) lgdogf] A109130 5.27289 [-(130*x^8-608*x^7+1099*x^6-925*x^5+320*x^4-10*x^3+10*x^2-5*x+1)/(x-1)^5 ogf] A109130 6.02149 [3*x^3*(-2198*x^2+1785*x^3-752*x^4+130*x^5-420+1435*x)/(x-1)/(130*x^8-608*x^7+1099*x^6-925*x^5+320*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A109141 15.4345 [6*x*(22+55*x+4*x^2)/(1+264*x^2+440*x^3+24*x^4) lgdogf] A109142 6.48635 [12*x^3*(1887*x^4+2142*x^2+117*x^5+3570*x^3+51+425*x)/(24*x^3+33*x^2+6*x+1)/(117*x^6+1962*x^5+1863*x^4+156*x^3+3*x^2-6*x+1) lgdogf] A109149 12.6729 [8*x^6*(1116*x^2+868+63*x+x^9)/(1+1984*x^7+126*x^8+1984*x^9+x^16) lgdogf] A109164 12.6859 [-(2*x+1)/(x-1)/(x^2-3*x+1) ogf] A109164 14.3297 [-(6-8*x+4*x^3-5*x^2)/(x-1)/(2*x+1)/(x^2-3*x+1) lgdogf] A109164 5.95001 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=20} ogf] A109164 6.16836 [(1601*f(x)-1021)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A109165 12.8289 [-2*(-1-5*x+6*x^4+4*x^3-5*x^2)/(2*x+1)/(2*x^4-5*x^2+1) lgdogf] A109165 14.1564 [(2*x+1)/(2*x^4-5*x^2+1) ogf] A109165 7.53984 [-(169*f(x)+40)*(2*f(x)*x^4-5*f(x)*x^2+f(x)-2*x-1) ogf] A109175 4.57776 [-(292*f(x)-625)*(f(x)*x^4+2*f(x)*x^3+x^4-2*f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A109175 8.23998 [-(x^4-2*x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A109175 8.92116 [(-3-6*x+3*x^4+20*x^3+4*x^6-2*x^5)/(x-1)/(1+x)/(x^2+2*x-1)/(x^4-2*x^3-x^2-x-1) lgdogf] A109188 16.7192 [-2*(-1-4*x+3*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A109190 16.4998 [(-x+(5*x^2+1-2*x)^(1/2))/(1-2*x+4*x^2)*x revogf] A109190 7.85703 [-(-1-2*x+12*x^3+11*x^2+(-(x+1)*(-1+3*x)*(x-1)^2)^(1/2))/(x+1)/(-1+3*x)/(4*x^2+2*x-1) lgdogf] A109190 8.27274 [-4*f(x)^2*x^2-2*f(x)^2*x+f(x)^2+2*f(x)*x-1 ogf] A109192 6.63075 [f(x)^2*x^4+3*f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x^2-f(x)^2+1 ogf] A109220 10.5467 [-(3+2*x+4*x^2-4*x^3-3*x^4+2*x^5)/(x^2-x-1)/(x^4-2*x^2-2*x+1) lgdogf] A109220 10.5899 [-(x^2-x-1)/(x^4-2*x^2-2*x+1) ogf] A109220 5.42844 [-(772*f(x)+143)*(f(x)*x^4-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A109222 10.7324 [-(x-1)*(x+1)^2/(x^4-2*x^2-x+1) ogf] A109222 6.22299 [(4*f(x)+3)*(f(x)*x^4-2*f(x)*x^2+x^3-f(x)*x+x^2+f(x)-x-1) ogf] A109237 4.69822 [(2*x^15+x^14+x^13+2*x^12+x^11+x^10+2*x^9+x^8+x^7+2*x^6+x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A109241 14.3828 [-1/2000*(-110*x-1+(8100*x^2+220*x+1)^(1/2))/x revogf] A109241 17.3173 [1/(100*x-1)/(10*x-1) ogf] A109241 19.0360 [-10*(-11+200*x)/(100*x-1)/(10*x-1) lgdogf] A109241 7.39389 [(101*f(x)+20)*(1000*f(x)*x^2-110*f(x)*x+f(x)-1) ogf] A109241 7.39389 [{-a(n+2)+110*a(n+1)-1000*a(n),a(0)=1,a(1)=110} ogf] A109242 3.13572 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=1,a(1)=111,a(2)=11211} ogf] A109242 5.4838 [(101111101*f(x)-313000)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+1) ogf] A109242 8.02419 [-3*(37-740*x+1000*x^2)/(-1+x)/(100*x-1)/(10*x-1) lgdogf] A109242 8.78002 [-1/(x-1)/(100*x-1)/(10*x-1) ogf] A109243 6.12858 [-x*(32*x^5-8*x^4-8*x^3+6*x^2-2*x-1)/(2*x+1)^2/(2*x-1)^2/(2*x^2-1)^2 ogf] A109247 16.7485 [3*x*(-2-3*x+2*x^4+x^5)/(x^4-3*x^3-3*x^2+1)/(1+x^4) lgdogf] A109247 6.62076 [(2*f(x)+7)*(f(x)*x^4-x^4+3*x^3+3*x^2+f(x)-1) ogf] A109247 9.44274 [(x^4-3*x^3-3*x^2+1)/(x^4+1) ogf] A109248 15.6025 [-(x+1)*(2*x-1)/(x^3-x^2+1) ogf] A109248 18.5780 [-(-1-2*x-4*x^2+2*x^3+2*x^4)/(2*x-1)/(x+1)/(x^3-x^2+1) lgdogf] A109248 9.16851 [-(3*f(x)-8)*(f(x)*x^3-f(x)*x^2+2*x^2+f(x)+x-1) ogf] A109248 9.46112 [{-a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A109249 4.45024 [x*(8*x^6-7*x^5+8*x^4+7*x^3-x^2+2*x-1)/(4*x^3-x^2+3*x-1)/(2*x^4-2*x^3+3*x^2+1)/(x-1)^2 ogf] A109256 4.77897 [2*(5*x^6-33*x^5+28*x^4-602*x^3+345*x^2-121*x+18)/(x-1)^7 ogf] A109256 6.79347 [-(5-36*x+5*x^6-36*x^5-81*x^2-2296*x^3-81*x^4)/(x-1)/(5*x^6-33*x^5+28*x^4-602*x^3+345*x^2-121*x+18) lgdogf] A109262 5.80534 [(5*n+5*n^2)*a(n)+(65*n+48+17*n^2)*a(n+1)+(54+37*n+7*n^2)*a(n+2)+(30+21*n+3*n^2)*a(n+3),a(0)=0,a(1)=1,a(2)=-2 revogf] A109262 7.12485 [-f(x)^2*x^2-4*f(x)^2*x+f(x)^2-3*f(x)*x+f(x)-x ogf] A109263 5.59355 [-f(x)^2*x^2-4*f(x)^2*x-2*f(x)*x^2+f(x)^2-3*f(x)*x-x^2+f(x) ogf] A109265 11.7558 [-(x^2+x-1)/(x^2-x+1) ogf] A109265 28.4279 [-2*x*(x-2)/(x^2-x+1)/(x^2+x-1) lgdogf] A109265 6.16887 [{-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=0,a(2)=-2} ogf] A109265 8.77544 [f(x)*x^2-f(x)*x+x^2+f(x)+x-1 ogf] A109266 15.8050 [-(x^2+x-1)/(x^3-x^2+1) ogf] A109266 23.0642 [-(-1-4*x^2+2*x^3+x^4)/(x^2+x-1)/(x^3-x^2+1) lgdogf] A109266 9.28746 [-(4*f(x)-5)*(f(x)*x^3-f(x)*x^2+x^2+f(x)+x-1) ogf] A109266 9.68691 [{a(n+3)-a(n+1)+a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A109338 2.79599 [-(f(x)*x-f(x)+1)^3 ogf] A109340 16.7922 [-3*(x^2+1)*(2*x+1)^2/(x-1)/(x^2+x+1)/(4*x^2+x+1) lgdogf] A109340 9.57516 [-x^2*(4*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A109344 3.96732 [-(838088266191*f(x)+730954573900)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1000*x^2-f(x)-950*x+49) ogf] A109344 4.64393 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=49,a(1)=4489,a(2)=444889} ogf] A109344 7.98756 [-(1000*x^2-950*x+49)/(x-1)/(100*x-1)/(10*x-1) ogf] A109359 6.88587 [-(2*x+8*x^11-x^10+14*x^9+4*x^8+24*x^7-9*x^6+36*x^5-x^4+12*x^3+6*x^2+1)/(x-1)/(1+x)/(x^2-x+1)/(4*x^6+x^5+2*x^4+3*x^3+x^2+1)/(x^2+1) lgdogf] A109359 8.03496 [x*(4*x^6+x^5+2*x^4+3*x^3+x^2+1)/(x^2+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A109360 7.34845 [-x*(4*x^6-x^5-6*x^4+x^3-5*x^2-4*x-1)/(x^2+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A109362 9.57727 [-(2+10*x^6+6*x^5+9*x^2+9*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(3*x^3+2*x+1) lgdogf] A109362 9.74118 [-x^2*(3*x^3+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A109363 16.0350 [-(4*x-1)/(2*x-1)/(x-1)^2 ogf] A109363 23.4111 [-2*x*(-5+8*x)/(x-1)/(2*x-1)/(-1+4*x) lgdogf] A109363 7.45485 [-(3921*f(x)-11704)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+4*x-1) ogf] A109363 7.65633 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=-1,a(1)=0,a(2)=5} ogf] A109377 12.7060 [-(2*x^2+x+2)/(x^3-x^2+2*x-1) ogf] A109377 15.8509 [-(5+2*x^4+2*x^3+x^2)/(2+2*x^2+x)/(x^3-x^2+2*x-1) lgdogf] A109377 6.85899 [(23*f(x)+29)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+2*x^2-f(x)+x+2) ogf] A109377 6.85899 [{-a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=10} ogf] A109389 19.9215 [-(-x^4-1)/(x^6-1) ogf_with_Euler_transform] A109430 4.55307 [x*(2*x^13+x^12+2*x^11-6*x^9+4*x^8-6*x^7+8*x^6-6*x^5-2*x^3+4*x+1)/(x-1)/(x^2+1)/(x^4+1)/(x^8-x^4+1) ogf] A109437 14.0915 [x/(x+1)/(x^2-4*x+1) ogf] A109437 18.9231 [-3*(-1-2*x+x^2)/(x+1)/(1-4*x+x^2) lgdogf] A109437 5.71278 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A109437 6.09729 [-(22*f(x)+3)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-x) ogf] A109438 11.9327 [(2*x+1)/(x+1)/(x^2-4*x+1) ogf] A109438 13.1855 [-(-5-6*x+4*x^3-3*x^2)/(2*x+1)/(x+1)/(x^2-4*x+1) lgdogf] A109438 5.59674 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A109438 5.85586 [(1423*f(x)+465)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A109451 7.67608 [(x^5+x^4+x^3-2*x^2+2*x+1)/(x+1)/(x^4+1)/(x-1)^2 ogf] A109454 8.56599 [-(-13-6*x+3*x^6-6*x^5-22*x^4+26*x^3+56*x^2)/(1+x)/(x^2-3*x+1)/(x^2-x-4)/(x^2+x-1) lgdogf] A109454 8.76678 [x^4*(x^2-x-4)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A109467 4.23034 [(7398982278*f(x)-2861328785)*(160*f(x)*x^4+144*f(x)*x^3+44*f(x)*x^2+160*x^3+4*f(x)*x+108*x^2-f(x)+22*x+1) ogf] A109467 5.96541 [-2*(13+152*x+12800*x^6+17280*x^5+9536*x^4+2848*x^3+724*x^2)/(2*x+1)/(10*x-1)/(160*x^3+108*x^2+22*x+1)/(1+4*x+8*x^2) lgdogf] A109467 8.02305 [-(160*x^3+108*x^2+22*x+1)/(2*x+1)/(10*x-1)/(8*x^2+4*x+1) ogf] A109470 9.62909 [(x^25-x^24+x^7-x^6+x-2)/(x-1)^3 ogf] A109474 14.3717 [(7*x^3+2*x+1)/(x-1)^2/(x+1) ogf] A109474 18.3056 [-(3+5*x+7*x^3+25*x^2)/(x-1)/(1+x)/(7*x^3+2*x+1) lgdogf] A109474 6.59151 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=4,a(3)=13} ogf] A109474 7.49291 [(3580*f(x)+1503)*(f(x)*x^3-f(x)*x^2-7*x^3-f(x)*x+f(x)-2*x-1) ogf] A109475 12.6274 [4*x^2*(x+3)*(x^4-3*x^3+9*x^2+3*x+6)/(1+48*x^3+30*x^4+48*x^5+x^8) lgdogf] A109478 12.0868 [4*x^2*(x^5+186+527*x+310*x^2)/(1+496*x^3+1054*x^4+496*x^5+x^8) lgdogf] A109498 11.2139 [-(8*x-1)/(9*x-1)/(2*x-1) ogf] A109498 11.7108 [-1/4*(-1-11*x+(1-10*x+49*x^2)^(1/2))/(4+9*x) revogf] A109498 11.9832 [-3*(1-12*x+48*x^2)/(-1+8*x)/(2*x-1)/(9*x-1) lgdogf] A109498 5.79181 [-(7*f(x)-2)*(18*f(x)*x^2-11*f(x)*x+f(x)+8*x-1) ogf] A109498 6.27446 [{a(n+2)-11*a(n+1)+18*a(n),a(0)=1,a(1)=3} ogf] A109499 13.3478 [(3*x-1)/(x+1)/(4*x-1) ogf] A109499 14.0742 [1/2/(-3+4*x)*(-1-3*x+(1-6*x+25*x^2)^(1/2)) revogf] A109499 16.8891 [-4*x*(-2+3*x)/(4*x-1)/(3*x-1)/(x+1) lgdogf] A109499 7.41544 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=1,a(1)=0} ogf] A109499 9.53416 [4*f(x)*x^2+3*f(x)*x-f(x)-3*x+1 ogf] A109500 12.5015 [(4*x-1)/(x+1)/(5*x-1) ogf] A109500 13.1737 [1/2/(-4+5*x)*(-4*x-1+(36*x^2-8*x+1)^(1/2)) revogf] A109500 14.9540 [-10*x*(-1+2*x)/(-1+4*x)/(5*x-1)/(x+1) lgdogf] A109500 6.94530 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=1,a(1)=0} ogf] A109500 8.92968 [5*f(x)*x^2+4*f(x)*x-f(x)-4*x+1 ogf] A109501 12.2457 [(5*x-1)/(x+1)/(6*x-1) ogf] A109501 12.6029 [1/2/(-5+6*x)*(-5*x-1+(1-10*x+49*x^2)^(1/2)) revogf] A109501 15.0535 [-6*x*(-2+5*x)/(-1+6*x)/(5*x-1)/(x+1) lgdogf] A109501 6.80319 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=1,a(1)=0} ogf] A109501 8.74696 [6*f(x)*x^2+5*f(x)*x-f(x)-5*x+1 ogf] A109509 22.0222 [-x/(x^2+x-1) ogf_with_Euler_transform] A109522 10.1877 [-x*(2*x^2+x-2)/(x-1)/(x+1)/(x^2+x-1) ogf] A109522 11.1017 [-(1+4*x+4*x^5+5*x^4-6*x^3-6*x^2)/(x-1)/(1+x)/(x^2+x-1)/(2*x^2+x-2) lgdogf] A109522 5.59175 [(2*f(x)-7)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+2*x^3-f(x)*x+x^2+f(x)-2*x) ogf] A109523 6.56893 [-(2+14*x^7+5*x^2-6*x^3-8*x^4-6*x^5+2*x^9+11*x^6+10*x^8)/(x-1)/(x^2+x+1)/(x^3+x^2+x-1)/(x^4+3*x^3+2*x^2-2) lgdogf] A109523 7.22066 [-x*(x^4+3*x^3+2*x^2-2)/(x-1)/(x^2+x+1)/(x^3+x^2+x-1) ogf] A109524 7.97630 [-(2+2*x+5*x^2-9*x^4-16*x^5-3*x^6+10*x^7+11*x^8+4*x^9)/(x-1)/(x+1)/(x^2+x+1)/(2*x^3+x^2-2)/(x^3+x^2-1) lgdogf] A109524 8.78798 [-x*(x+1)*(2*x^3+x^2-2)/(x-1)/(x^2+x+1)/(x^3+x^2-1) ogf] A109525 6.14106 [-x*(2*x^6+3*x^5+5*x^4+4*x^3-2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x-1) ogf] A109526 8.20987 [-x*(3*x^6+x^5+2*x^4+2*x^3-2*x^2-2)/(x-1)/(x+1)/(x^2+1)/(x^4+x-1) ogf] A109528 5.57556 [-(-2*x+6*x^11-4*x^10-18*x^7-18*x^5+4*x^13+2*x^4-30*x^3-6*x^2-42*x^9-15*x^12-36*x^6-3)/(x^5-3*x^4+x^3-x^2-3*x-1)/(x^9+3*x^6+3*x^3-1) lgdogf] A109528 7.97274 [x*(x^5-3*x^4+x^3-x^2-3*x-1)/(x^9+3*x^6+3*x^3-1) ogf] A109529 5.61591 [-2*(x-3*x^11+2*x^10+9*x^7+9*x^5-2*x^13-x^4+12*x^3+3*x^2+11*x^9+6*x^12+14*x^6+x^15+1)/(x^7-x^5+3*x^4-x^3+x^2+2*x+1)/(x^9+3*x^6+3*x^3-1) lgdogf] A109529 7.91018 [-(x^7-x^5+3*x^4-x^3+x^2+2*x+1)/(x^9+3*x^6+3*x^3-1) ogf] A109530 6.97164 [-(x^8-x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+1)/(x^9+3*x^6+3*x^3-1) ogf] A109531 9.66767 [-x*(x^2-x+1)*(x^5+x^4+2*x^2+2*x+1)/(x^9+2*x^6+x^3-1) ogf] A109532 10.0457 [-(x^7+2*x^4+x^2+x+1)/(x^9+2*x^6+x^3-1) ogf] A109532 6.82096 [-(2*x+7*x^10+8*x^7+15*x^6+12*x^5+x^4+10*x^3+3*x^2+12*x^9+9*x^8+1+8*x^12+2*x^15)/(x^7+2*x^4+x^2+x+1)/(x^9+2*x^6+x^3-1) lgdogf] A109533 7.94024 [-(x^8+x^6+2*x^5+x^4+x^3+x^2+1)/(x^9+2*x^6+x^3-1) ogf] A109534 10.1333 [-(x^5-4*x^4-3*x^3-3*x^2-2*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A109534 8.59154 [-(-2-8*x-8*x^7-7*x^6-20*x^5-11*x^4-28*x^3-13*x^2+x^8)/(x-1)/(1+x)/(x^2+1)/(x^5-4*x^4-3*x^3-3*x^2-2*x-1) lgdogf] A109537 10.8860 [(x^3+x^2-1)/(x^6-x^4+x^2+x-1) ogf] A109538 5.71318 [-(-2*x+6*x^11+5*x^10-26*x^7-22*x^6+10*x^5+6*x^4+2*x^3-x^2+4*x^12-10*x^8-1)/(4*x^6+3*x^5+2*x^4+x^3-x-1)/(x^7+x^6+x^5+x^4+x^3+x^2-1) lgdogf] A109538 7.04535 [(4*x^6+3*x^5+2*x^4+x^3-x-1)/(x^7+x^6+x^5+x^4+x^3+x^2-1) ogf] A109539 5.99766 [(5*x^7+4*x^6+3*x^5+2*x^4+x^3-x-1)/(x+1)/(x^7+x^5+x^3+x-1) ogf] A109540 6.11355 [(6*x^7+4*x^6+3*x^5+2*x^4+x^3-x-1)/(x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A109541 6.83560 [(5*x^6+3*x^5+2*x^4+x^3-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A109543 12.4206 [(x^4+x^3-1)/(x^5+x^3+x-1) ogf] A109543 13.9015 [-(-1-x^6+x^8+2*x^7-8*x^4+2*x^3)/(x^4+x^3-1)/(x^5+x^3+x-1) lgdogf] A109543 6.45869 [f(x)*(3*f(x)-4)*(f(x)*x^5+f(x)*x^3-x^4-x^3+f(x)*x-f(x)+1) ogf] A109544 6.79281 [f(x)*x^5+f(x)*x^4+f(x)*x^3-2*x^4+f(x)*x^2-x^3-f(x)+x+1 ogf] A109544 9.23159 [-(-1-2*x+2*x^8+2*x^7-x^6-8*x^5+2*x^3-9*x^4-x^2)/(2*x^4+x^3-x-1)/(x^5+x^4+x^3+x^2-1) lgdogf] A109544 9.64411 [(2*x^4+x^3-x-1)/(x^5+x^4+x^3+x^2-1) ogf] A109545 11.0403 [(x^2+x-1)/(x^3+x^2+2*x-1) ogf] A109545 14.0424 [-(-1+x^4+2*x^3-4*x^2)/(x^2+x-1)/(x^3+x^2+2*x-1) lgdogf] A109545 5.75606 [-(19*f(x)-15)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-x^2-f(x)-x+1) ogf] A109545 6.01304 [{-a(n+3)+2*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A109546 14.0052 [(4*x-5)/(x+1)/(4*x-1) ogf] A109546 15.0656 [1/8*(-5-3*x+(25+14*x+25*x^2)^(1/2))/(x-1) revogf] A109546 15.4423 [-(4*x+1)*(4*x-11)/(-1+4*x)/(4*x-5)/(x+1) lgdogf] A109546 6.85037 [-(73*f(x)-244)*(4*f(x)*x^2+3*f(x)*x-f(x)-4*x+5) ogf] A109546 7.59317 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=5,a(1)=11} ogf] A109575 10.0737 [-8*f(x)*x^3+12*f(x)*x+f(x)-x egf] A109575 17.7772 [-x/(8*x^3-12*x-1) egf] A109575 20.5172 [-12*(-1+2*x^2)/(-1-12*x+8*x^3) lgdegf] A109575 6.36237 [{a(n+3)+12*a(n+2)-8*a(n),a(0)=0,a(1)=1,a(2)=-12} egf] A109576 18.7373 [-x/(x-1)/(2*x+1)^2 egf] A109576 26.5000 [-3*(2*x-1)/(2*x+1)/(x-1) lgdegf] A109576 3.49340 [{(2*n^3+16*n^2+42*n+36)*a(n+1)+(-n^2-7*n-12)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=-6} ogf] A109576 8.4703 [f(x)*(4*f(x)*x^3-3*f(x)*x-f(x)+x) egf] A109581 11.0544 [-f(x)*x^3+f(x)*x+f(x)-x egf] A109581 19.7639 [-x/(x^3-x-1) egf] A109581 30.7699 [-(-1+3*x^2)/(-1-x+x^3) lgdegf] A109581 4.00128 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(n+4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=-2,a(3)=6} ogf] A109582 22.5966 [1/(x^3-x-1) egf] A109582 31.0509 [-(-1+3*x^2)/(-1-x+x^3) lgdegf] A109582 4.02025 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(n+4)*a(n+3)+a(n+4),a(0)=-1,a(1)=1,a(2)=-2,a(3)=0} ogf] A109582 8.09014 [(f(x)+1)*(f(x)*x^3-f(x)*x-f(x)-1) egf] A109583 4.38114 [x^3*(x+1)*(x^6+2*x^4-x^3+x^2+1)/(x^10-3*x^9-x^8+x^7-x^6+1) egf] A109588 7.10385 [-(1+2*x-7*x^6+4*x^10-5*x^9+6*x^8+36*x^7-12*x^5+30*x^4+11*x^3+6*x^2)/(x-1)/(x^8-x^7+x^6+4*x^5-2*x^3+x^2+x+1)/(x^2+x+1) lgdogf] A109588 7.43446 [(x^8-x^7+x^6+4*x^5-2*x^3+x^2+x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A109594 7.04365 [-(-1-2*x-39*x^6+4*x^10-5*x^9-6*x^8+8*x^7+12*x^5-10*x^4-27*x^3-6*x^2)/(x-1)/(x^8-x^7-x^6-4*x^4+2*x^3-x^2-x-1)/(x^2+x+1) lgdogf] A109594 7.43446 [-(x^8-x^7-x^6-4*x^4+2*x^3-x^2-x-1)/(x-1)^4/(x^2+x+1)^4 ogf] A109595 7.43446 [(x^8-x^7+x^6-2*x^5+4*x^3+x^2+x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A109595 7.55592 [-(1+2*x-7*x^6+4*x^10-5*x^9+6*x^8-6*x^7+42*x^5+11*x^3+24*x^2)/(x-1)/(x^2+x+1)/(x^8-x^7+x^6-2*x^5+4*x^3+x^2+x+1) lgdogf] A109609 13.1213 [1/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x^2+1)/(x^4-x^2+1) ogf] A109609 7.58150 [-(-1-2*x+14*x^13+13*x^12-12*x^11)/(x-1)/(1+x)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x^2+1)/(x^4-x^2+1) lgdogf] A109610 11.1097 [-(x^12-x^10+2*x^7-3*x^4-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A109613 10.7009 [-f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+1 ogf] A109613 15.9575 [(x^2+1)/(x-1)^2/(x+1) ogf] A109613 24.7893 [-(1+5*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A109613 31.2639 [[-x^3+2*x+1] ogf_with_Euler_transform] A109613 8.12123 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A109614 7.10385 [-(-1-2*x+9*x^6+4*x^10-5*x^9-6*x^8+8*x^7-42*x^5-10*x^4-3*x^3-24*x^2)/(x-1)/(x^2+x+1)/(x^8-x^7-x^6+2*x^4-4*x^3-x^2-x-1) lgdogf] A109614 7.43446 [-(x^8-x^7-x^6+2*x^4-4*x^3-x^2-x-1)/(x-1)^4/(x^2+x+1)^4 ogf] A109620 12.2441 [(2*x-1)*(x^2+1)/(x-1)^4 ogf] A109620 21.9255 [-2*(-1+2*x+2*x^2+x^3)/(x-1)/(2*x-1)/(x^2+1) lgdogf] A109620 5.01488 [{(47*n^2+259*n+330)*a(n+1)+(-88*n^2-368*n-228)*a(n+2)+(41*n^2+127*n+12)*a(n+3),a(0)=-1,a(1)=-2,a(2)=-3} ogf] A109620 6.63942 [-(10*f(x)+3)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+x^2+f(x)-2*x+1) ogf] A109622 11.0859 [-(-1-6*x+x^6+2*x^5-x^4-8*x^3-3*x^2)/(x-1)/(x+1)/(x^5-2*x^3-x^2+x-1) lgdogf] A109622 7.50565 [-(x^5-2*x^3-x^2+x-1)/(x+1)^2/(x-1)^4 ogf] A109632 2.48838 [-f(x)*x^2+2*f(x)*x-f(x)+100*x+200 ogf] A109632 3.40249 [100*(x+2)/(x-1)^2 ogf] A109632 8.23484 [-(x+5)/(2+x)/(-1+x) lgdogf] A109633 2.78232 [100*(x^3+x+1)/(x-1)^2 ogf] A109634 14.0460 [x/(2*x^2+2*x-1)^2 ogf] A109634 25.9290 [-4*(2*x+1)/(2*x^2-1+2*x) lgdogf] A109634 4.24209 [{(n+2)*a(n+3)+(-6-2*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A109634 6.32071 [(28*f(x)-1)*(4*f(x)*x^4+8*f(x)*x^3-4*f(x)*x+f(x)-x) ogf] A109644 9.20708 [-(4950*x^11-9900*x^10+4950*x^9+45*x^2-91*x+44)/(x-1)^3 ogf] A109678 12.4998 [(x+1)/(x-1)^4 ogf] A109678 36.0747 [[5-x] ogf_with_Euler_transform] A109678 37.3767 [-(5+3*x)/(x-1)/(1+x) lgdogf] A109678 5.64804 [{(-n-3)*a(n+3)+5*a(n+2)+(4+n)*a(n+1),a(0)=1,a(1)=5,a(2)=14} ogf] A109678 6.00382 [(5248*f(x)+7423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A109697 36.1972 [1/(-x^5+1) ogf_with_Euler_transform] A109698 31.2111 [x/(-x^5+1) ogf_with_Euler_transform] A109699 30.8253 [x^2/(-x^5+1) ogf_with_Euler_transform] A109700 30.8630 [x^3/(-x^5+1) ogf_with_Euler_transform] A109701 37.0150 [1/(-x^6+1) ogf_with_Euler_transform] A109702 30.8013 [x^4/(-x^6+1) ogf_with_Euler_transform] A109703 37.0093 [1/(-x^7+1) ogf_with_Euler_transform] A109704 32.0852 [x/(-x^7+1) ogf_with_Euler_transform] A109705 31.5694 [x^2/(-x^7+1) ogf_with_Euler_transform] A109706 31.3435 [x^3/(-x^7+1) ogf_with_Euler_transform] A109707 30.8729 [x^4/(-x^7+1) ogf_with_Euler_transform] A109708 30.7779 [x^5/(-x^7+1) ogf_with_Euler_transform] A109716 7.18763 [-111111*f(x)*x+f(x)-1 ogf] A109718 15.1966 [-f(x)*x^4-3*x^3+f(x)-x ogf] A109718 16.5474 [-x*(3*x^2+1)/(x-1)/(x+1)/(x^2+1) ogf] A109718 19.4536 [-2*x*(3+2*x^2+3*x^4)/(x-1)/(1+x)/(1+3*x^2)/(1+x^2) lgdogf] A109718 8.65853 [{a(n+4)-a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=3} ogf] A109720 11.9673 [-x*(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A109720 31.7100 [x^6-x^5+1 ogf_with_Euler_transform] A109720 7.97277 [-(1+2*x+7*x^6+5*x^4+4*x^3+2*x^11+3*x^10+4*x^9+5*x^8+6*x^7+3*x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A109731 5.40015 [-(35148*f(x)-147013)*(f(x)*x^4+4*f(x)*x^2+x^3+2*x^2+f(x)+4*x-1) ogf] A109731 9.19761 [-(-4-12*x+13*x^2-4*x^3+8*x^4+4*x^5+x^6)/(x^3+2*x^2+4*x-1)/(x^4+4*x^2+1) lgdogf] A109731 9.47103 [-(x^3+2*x^2+4*x-1)/(x^4+4*x^2+1) ogf] A109737 14.1085 [4*x^2*(x^5+42+15*x+70*x^2)/(1+112*x^3+30*x^4+112*x^5+x^8) lgdogf] A109743 3.39464 [{(3*n^2+9*n)*a(n)+(5*n^2+24*n+22)*a(n+1)+(2*n^2+11*n+20)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A109747 20.7650 [-a(n)+(-1-n)*a(n+1),a(0)=2,a(1)=-1 lgdegf] A109753 12.2071 [-x*(7*x^6+5*x^4+3*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A109753 9.82503 [-2*x*(3+10*x^2+21*x^4+4*x^6+9*x^8+10*x^10+7*x^12)/(x-1)/(1+x)/(x^2+1)/(x^4+1)/(7*x^6+5*x^4+3*x^2+1) lgdogf] A109764 11.7452 [-2*(51+212*x+14*x^3+143*x^2)/(x-1)/(x+1)/(7*x^2+46*x+7) lgdogf] A109764 3.47022 [{(-16*n^2-123*n-236)*a(n+1)+(32*n^2+192*n+466)*a(n+2)+(-16*n^2-69*n-74)*a(n+3),a(0)=0,a(1)=14,a(2)=204} ogf] A109764 5.70323 [-2*x*(x+1)*(7*x^2+46*x+7)/(x-1)^7 ogf] A109765 13.8422 [x/(4*x-1)/(2*x-1)/(x+1) ogf] A109765 15.3341 [-(-5+4*x+24*x^2)/(-1+4*x)/(-1+2*x)/(x+1) lgdogf] A109765 5.61169 [{a(n+3)-5*a(n+2)+2*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A109765 6.2919 [(5*f(x)+1)*(8*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+f(x)-x) ogf] A109768 10.4406 [-(1+10*x+x^6+10*x^5+3*x^4+4*x^3+3*x^2)/(x-1)/(1+x)/(x^2+1)/(x^3+5*x^2+x+1) lgdogf] A109768 13.8678 [-(x^3+5*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A109768 9.52368 [(2*f(x)-5)*(f(x)*x^4+x^3+5*x^2-f(x)+x+1) ogf] A109771 18.4054 [-x^2-6*x-1+f(x)^2 ogf] A109771 43.7389 [(x+3)/(x^2+1+6*x) lgdogf] A109771 5.05500 [{(n+3)*a(n+3)+(9+6*n)*a(n+2)+n*a(n+1),a(0)=1,a(1)=3,a(2)=-4} ogf] A109774 13.4184 [-8*x/(x-1)/(3*x-1)/(9*x-1) ogf] A109774 15.8774 [-(13-78*x+81*x^2)/(x-1)/(-1+3*x)/(9*x-1) lgdogf] A109774 5.55243 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=0,a(1)=8,a(2)=104} ogf] A109774 6.9758 [(13*f(x)+8)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x-f(x)+8*x) ogf] A109778 6.54836 [24*x^7*(51+425*x^2+2142*x^4+3570*x^6+1887*x^8+117*x^10)/(24*x^6+33*x^4+6*x^2+1)/(117*x^12+1962*x^10+1863*x^8+156*x^6+3*x^4-6*x^2+1) lgdogf] A109781 6.57448 [(x^5+x^4-6*x^3+2*x^2+x-1)/(x-1)/(x^2-x+1)/(x^2-2*x-1)/(x+1)^2 ogf] A109781 6.69770 [-(-3+3*x+2*x^10-x^9-27*x^8+68*x^7-52*x^6+12*x^5+12*x^2-6*x^3)/(x-1)/(x+1)/(x^2-x+1)/(x^2-2*x-1)/(x^5+x^4-6*x^3+2*x^2+x-1) lgdogf] A109782 7.26044 [x*(x^4-2*x^3+2*x^2+1)/(x-1)/(x^2-x+1)/(x^2-2*x-1)/(x+1)^2 ogf] A109784 5.65609 [-(-5+8*x+9*x^6+24*x^5-16*x^4+22*x^3+2*x^10-8*x^9+6*x^8-12*x^7-24*x^2)/(x-1)/(2*x-1)/(x^2+x+1)/(x^2-x-1)/(x^3-x^2+x-2)/(x^2+1) lgdogf] A109784 6.61352 [(x^2-x-1)*(x^3-x^2+x-2)/(2*x-1)/(x-1)/(x^2+x+1)/(x^2+1) ogf] A109785 9.70971 [-(x^12+2*x^10-x^8-x^7-x^2-x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A109786 4.08903 [f(x)*(f(x)+2)*(f(x)*x^5-2*f(x)*x^4-f(x)*x^3+5*x^4-f(x)*x^2+3*x^3-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A109786 6.86798 [-(1-2*x+5*x^6+6*x^5-3*x^2-2*x^3+20*x^4+5*x^8+6*x^7)/(x+1)/(x^2+1)/(5*x^4+3*x^3+2*x^2+x-1)/(x^2-3*x+1) lgdogf] A109786 7.60647 [-(5*x^4+3*x^3+2*x^2+x-1)/(x+1)/(x^2+1)/(x^2-3*x+1) ogf] A109787 5.82143 [-2*(1-3*x+5*x^6+18*x^5-60*x^4+33*x^3+11*x^9-21*x^8+5*x^7-x^2)/(x-1)/(1+x)/(x^2-3*x+1)/(11*x^4-3*x^3-2*x^2-x+1)/(x^2+1) lgdogf] A109787 7.45104 [-(11*x^4-3*x^3-2*x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^2-3*x+1) ogf] A109792 3.29098 [{(n^3+11*n^2+40*n+48)*a(n+1)+(-n^2-7*n-12)*a(n+2)+(-n-6)*a(n+3)+a(n+4),a(0)=1,a(1)=3,a(2)=14,a(3)=70} ogf] A109793 5.15275 [(118*x^6+92*x^5+46*x^4-4*x^3-3*x^2-2*x-1)/(x+1)/(x^2+1)/(50*x^4-1) ogf] A109794 11.5431 [-(-1-6*x+6*x^4+4*x^3+x^6-6*x^2)/(x^2+x-1)/(x^2-x-1)/(x^3+x+1) lgdogf] A109794 12.6065 [(x^3+x+1)/(x^2+x-1)/(x^2-x-1) ogf] A109794 7.72659 [(f(x)-3)*(f(x)*x^4-3*f(x)*x^2-x^3+f(x)-x-1) ogf] A109795 6.22588 [-(11*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A109803 7.67600 [(x+1)^2*(x^2+1)/(x-1)/(x^2+x+1)/(x^2+2*x-1) ogf] A109803 8.05056 [-(-4-2*x-5*x^2+13*x^3+10*x^4+8*x^5+3*x^6+x^7)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2+2*x-1) lgdogf] A109808 14.1475 [{a(n+1)-7*a(n),a(0)=2} ogf] A109808 17.9431 [-7*f(x)*x+f(x)-2 ogf] A109808 29.4267 [-2/(7*x-1) ogf] A109808 30.1376 [-1/7*ln(2)+1/7*ln(2+7*x) revegf] A109808 65.7549 [-7/(-1+7*x) lgdogf] A109815 7.43446 [(x^8+x^7-x^6-2*x^5+4*x^4+x^2+x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A109815 7.55592 [-(1+2*x+39*x^6+4*x^10+5*x^9-6*x^8-6*x^7-6*x^5+27*x^3+12*x^2)/(x-1)/(x^2+x+1)/(x^8+x^7-x^6-2*x^5+4*x^4+x^2+x+1) lgdogf] A109816 7.16509 [-(1+2*x-9*x^6+4*x^10+5*x^9-6*x^8+36*x^7-6*x^5+30*x^4+3*x^3+12*x^2)/(x-1)/(x^8+x^7-x^6+4*x^5-2*x^4+x^2+x+1)/(x^2+x+1) lgdogf] A109816 7.43446 [(x^8+x^7-x^6+4*x^5-2*x^4+x^2+x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A109868 10.7334 [2*(1+11*x+50*x^4-5*x^2)/(10*x^2-1)/(10*x^3-x^2-2*x-1) lgdogf] A109868 5.87458 [{-a(n+4)+10*a(n+2),a(0)=1,a(1)=2,a(2)=11,a(3)=10} ogf] A109868 6.32156 [(10010*f(x)+4231)*(10*f(x)*x^2-10*x^3+x^2-f(x)+2*x+1) ogf] A109868 9.85734 [(10*x^3-x^2-2*x-1)/(10*x^2-1) ogf] A109900 32.0074 [-x^2+2*x+3 ogf_with_Euler_transform] A109900 9.04136 [x*(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A109912 9.91971 [(2*f(x)*x-f(x)+1)^2 ogf] A109913 2.62721 [-(f(x)-2)*(f(x)*x-f(x)+2)^2 ogf] A109936 7.39155 [-(8965*x^18-8965*x^17+897*x^7-897*x^6+87*x^4-87*x^3+7*x-8)/(x-1)^2 ogf] A109957 4.75642 [f(x)^3*x^4-3*f(x)^3*x^3+2*f(x)^3*x^2-x*f(x)^3+f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x-f(x)+1 ogf] A109961 13.0159 [-(1-2*x+x^4-4*x^3+7*x^2)/(x-1)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A109961 5.00214 [(36*f(x)+7)*(f(x)*x^4-4*f(x)*x^3+5*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A109961 8.96488 [-(x-1)^3/(x^2-3*x+1)/(x^2-x+1) ogf] A109972 3.93759 [-f(x)^3*x^4+f(x)^3*x^2-2*x*f(x)^3-f(x)^2*x^2+f(x)^3+4*f(x)^2*x-3*f(x)^2-2*f(x)*x+3*f(x)-1 ogf] A109975 12.1288 [(x-1)*(x^2+x-1)/(2*x-1)^2 ogf] A109975 14.3005 [(-2+4*x-3*x^2+2*x^3)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A109975 5.63883 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A109975 9.05389 [4*f(x)*x^2-x^3-4*f(x)*x+f(x)+2*x-1 ogf] A109980 15.0485 [-(-3*x+(9*x^2+1-2*x)^(1/2))/(-1+2*x)*x revogf] A109980 3.39655 [{6*a(n)*n+(-37*n-54)*a(n+1)+(12*n+27)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A109980 8.66428 [(-3+18*x-3*x^2+((1-6*x+x^2)*(-1+3*x)^2)^(1/2))/(6*x-1)/(1-6*x+x^2) lgdogf] A109980 9.27313 [-6*f(x)^2*x+f(x)^2+2*f(x)*x-1 ogf] A109984 16.6127 [-2*(22-9*x+x^2)/(x-5)/(x^2+1-6*x) lgdogf] A110001 4.26552 [-(x^15-x^14+x^13-x^12+11*x^11-3*x^10-x^9+3*x^8+11*x^7+3*x^6-x^5-3*x^4+x^3+x^2+x+1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110003 4.28602 [-(x^15+x^14-x^13-x^12+11*x^11-x^10-3*x^9+3*x^8+11*x^7-x^6+3*x^5-3*x^4+x^3+x^2+x+1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110004 4.16557 [-(x^15+x^14-x^13-x^12-x^11+11*x^10-3*x^9+3*x^8-x^7+11*x^6+3*x^5-3*x^4+x^3+x^2+x+1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110005 4.26552 [(x^15-x^14-x^13+x^12+3*x^11-11*x^10+x^9-3*x^8-3*x^7-11*x^6+x^5+3*x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110008 4.16557 [-(x^15-x^14+x^13-x^12-x^11-3*x^10+11*x^9+3*x^8-x^7+3*x^6+11*x^5-3*x^4+x^3+x^2+x+1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110009 4.30653 [(x^15-x^14-x^13+x^12+3*x^11+x^10-11*x^9-3*x^8-3*x^7+x^6-11*x^5+3*x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110034 10.4994 [-(2*x^3-x^2-3*x+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A110034 11.4012 [-2*x*(-1+x^5-x^4+5*x^2-3*x^3)/(x-1)/(x+1)/(2*x^3-x^2-3*x+1)/(x^2-3*x+1) lgdogf] A110034 5.88988 [-(f(x)-1)*(f(x)*x^4-3*f(x)*x^3+2*x^3+3*f(x)*x-x^2-f(x)-3*x+1) ogf] A110035 10.8706 [(x^2+x-1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A110035 11.0132 [-2*(-1+x-5*x^3+x^5+3*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A110035 5.86822 [(62*f(x)+21)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A110038 10.0705 [-24-24*x-12*x^2-4*x^3-x^4+(-24-48*x-24*x^2-8*x^3-2*x^4)*f(x)+48*f(x)^2 lgdegf] A110044 5.52603 [(2*x^20+2*x^18+2*x^17+2*x^15+2*x^14+2*x^12+2*x^11+2*x^9+2*x^8+2*x^6+2*x^5+22*x^4-12*x^2-23*x-11)/(x-1)/(x^2+x+1) ogf] A110045 23.7351 [x/(2*x^2-3*x+1) ogf_with_Euler_transform] A110046 4.17824 [(334*f(x)-223)*(16*f(x)*x^4+16*f(x)*x^3-8*f(x)*x^2+16*x^3-4*f(x)*x+12*x^2+f(x)-4*x-1) ogf] A110046 6.31361 [-8*(1-x-2*x^2-8*x^3+16*x^4+48*x^5+32*x^6)/(2*x+1)/(-1+2*x)/(4*x^2+4*x-1)/(16*x^3+12*x^2-4*x-1) lgdogf] A110046 7.47956 [-(16*x^3+12*x^2-4*x-1)/(2*x+1)/(2*x-1)/(4*x^2+4*x-1) ogf] A110047 10.2951 [-(4*x^2-2*x-1)/(2*x+1)/(2*x-1)/(4*x^2+4*x-1) ogf] A110047 5.53752 [(16*f(x)-7)*(16*f(x)*x^4+16*f(x)*x^3-8*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-2*x-1) ogf] A110047 7.23756 [-2*(3+4*x-8*x^2-64*x^3-16*x^4+64*x^5)/(2*x+1)/(-1+2*x)/(4*x^2+4*x-1)/(4*x^2-2*x-1) lgdogf] A110048 13.9833 [-1/(2*x+1)/(4*x^2+4*x-1) ogf] A110048 14.3733 [-2*(1+12*x+12*x^2)/(2*x+1)/(4*x^2+4*x-1) lgdogf] A110048 5.15174 [{-a(n+3)+2*a(n+2)+12*a(n+1)+8*a(n),a(0)=1,a(1)=2,a(2)=16} ogf] A110048 5.70192 [(119*f(x)+25)*(8*f(x)*x^3+12*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A110050 6.39349 [-(16*x^4-24*x^3-30*x^2+9*x+2)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+4*x-1) ogf] A110051 5.73193 [-(4+10*x+64*x^7-75*x^2+28*x^3+48*x^4-64*x^5+48*x^6)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+4*x-1)/(2*x^3+x^2-x+1) lgdogf] A110051 7.62978 [-(2*x^3+x^2-x+1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+4*x-1) ogf] A110052 5.01537 [(25*f(x)+11)*(8*f(x)*x^4-4*f(x)*x^3-10*f(x)*x^2+7*f(x)*x-4*x^2-f(x)+x) ogf] A110052 9.43928 [-(-3+20*x+96*x^4-64*x^3-28*x^2)/(x-1)/(2*x-1)/(4*x-1)/(4*x^2+4*x-1) lgdogf] A110052 9.72676 [x*(4*x-1)/(2*x-1)/(x-1)/(4*x^2+4*x-1) ogf] A110061 16.2337 [x^2*(4*x-3)/(x^4-x^3+1) ogf] A110061 22.6079 [-(-4+9*x^2-20*x^3+12*x^4)/(-3+4*x)/(x^4-x^3+1) lgdogf] A110061 9.25322 [(2977*f(x)+11470)*(f(x)*x^4-f(x)*x^3-4*x^3+3*x^2+f(x)) ogf] A110062 15.5872 [(2*x^2-x+1)/(x^4-x^3+1) ogf] A110062 17.7665 [-(1-4*x+4*x^5-3*x^2+6*x^3-5*x^4)/(2*x^2-x+1)/(x^4-x^3+1) lgdogf] A110062 8.88473 [-(32*f(x)+211)*(f(x)*x^4-f(x)*x^3-2*x^2+f(x)+x-1) ogf] A110063 16.3055 [-(2*x^2-x+3)/(x^4-x^3+1) ogf] A110063 18.1731 [-(1-4*x+4*x^5-9*x^2+14*x^3-5*x^4)/(2*x^2-x+3)/(x^4-x^3+1) lgdogf] A110063 9.29416 [(4612*f(x)+43907)*(f(x)*x^4-f(x)*x^3+2*x^2+f(x)-x+3) ogf] A110064 18.4738 [-(4*x-1)/(x^4-x^3+1) ogf] A110064 21.9833 [-(-4+3*x^2-12*x^3+12*x^4)/(-1+4*x)/(x^4-x^3+1) lgdogf] A110064 9.42931 [-(2899*f(x)+57008)*(f(x)*x^4-f(x)*x^3+f(x)+4*x-1) ogf] A110090 13.5395 [-x*(x^3-2*x^2-2*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A110090 13.5442 [-(-2-4*x-8*x^4-10*x^3-3*x^2+3*x^5)/(x-1)/(x^2+x+1)/(x^3-2*x^2-2*x-1) lgdogf] A110091 11.5336 [(x^5-x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A110091 11.7513 [-(1+2*x-2*x^6+3*x^5+9*x^4+x^3+x^7+9*x^2)/(x-1)/(x^5-x^4+x^3+x^2+x+1)/(x^2+x+1) lgdogf] A110099 3.39299 [-f(x)^2*x^4+12*f(x)^2*x^3-38*f(x)^2*x^2-f(x)*x^3+12*f(x)^2*x+7*f(x)*x^2-f(x)^2-7*f(x)*x+f(x)-x ogf] A110110 4.7807 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)*x^3-f(x)^2*x+3*f(x)*x^2+f(x)*x+x^2-f(x)+2*x+1 ogf] A110111 3.87573 [-(11830*f(x)+843)*(729*f(x)*x^4+189*f(x)*x^3-84*f(x)*x^2-7*f(x)*x+f(x)-x) ogf] A110111 8.52414 [-(-7-168*x+2916*x^3+567*x^2)/(27*x^2+10*x-1)/(27*x^2-3*x-1) lgdogf] A110111 9.47398 [x/(27*x^2+10*x-1)/(27*x^2-3*x-1) ogf] A110118 5.13258 [(x^2+1)*(x^13+x^12+x^10+x^9+x^8+x^6+x^5+x^4+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A110122 6.38423 [f(x)^2*x^3-7*f(x)^2*x^2+f(x)^2*x+f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A110122 8.30165 [-1/2*((5*x^2+2*x+1)^(1/2)+3*(5*x^2+2*x+1)^(1/2)*x-1-4*x-7*x^2)/x/(1+x) revogf] A110127 3.10723 [f(x)^2*x^4-12*f(x)^2*x^3-f(x)*x^4+38*f(x)^2*x^2+10*f(x)*x^3-12*f(x)^2*x-26*f(x)*x^2+f(x)^2+10*f(x)*x+x^2-f(x) ogf] A110151 4.35259 [x*(2*x^6+2*x^4+4*x^3-5*x^2+3*x-1)/(x-1)/(x^4-2*x^3+2*x^2+1)/(2*x^4-4*x^3+3*x^2-3*x+1) ogf] A110158 10.3170 [-(3*x+1)*(4*x^3-4*x^2-4*x+3)/(x-1)/(1+x)/(2*x^3-2*x^2-2*x+1) lgdogf] A110158 8.97128 [x^4/(x+1)/(2*x^3-2*x^2-2*x+1)/(x-1)^2 ogf] A110159 19.2781 [-(11+31*x+12*x^2)/(x-1)/(3*x^2+5*x+1) lgdogf] A110159 3.60037 [{(n+4)*a(n+4)+(1+4*n)*a(n+3)+(-35-2*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=1,a(1)=11,a(2)=54,a(3)=179} ogf] A110159 8.26448 [(3*x^2+5*x+1)/(x-1)^6 ogf] A110161 12.5569 [-x*(x-1)*(x+1)/(x^4-x^2+1) ogf] A110161 15.8130 [x^11-x^3*(x^2+1) ogf_with_Euler_transform] A110161 27.0884 [-2*x^3*(-2+x^2)/(x-1)/(x+1)/(x^4-x^2+1) lgdogf] A110161 6.46132 [{a(n+4)-a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=0} ogf] A110161 8.21625 [f(x)*(f(x)*x^4-f(x)*x^2+x^3+f(x)-x) ogf] A110164 17.7384 [-(x-1)*(x+1)/(2*x+1) ogf] A110164 24.8139 [2*(1+x+x^2)/(x-1)/(2*x+1)/(x+1) lgdogf] A110164 8.65802 [{a(n+3)+2*a(n+2),a(0)=1,a(1)=-2,a(2)=3} ogf] A110164 9.69698 [-(f(x)-1)*(2*f(x)*x+x^2+f(x)-1) ogf] A110166 4.58901 [25*f(x)^2*x^3-35*f(x)^2*x^2+11*f(x)^2*x+5*f(x)*x^2-f(x)^2-6*f(x)*x+f(x)-x ogf] A110167 4.82201 [5*f(x)^2*x^4+9*f(x)^2*x^3-17*f(x)^2*x^2+3*f(x)^2*x+5*f(x)*x^2-6*f(x)*x+f(x)-1 ogf] A110170 10.8154 [f(x)^2*x^2-6*f(x)^2*x+f(x)^2-x^2+2*x-1 ogf] A110170 30.7032 [-2*(x+1)/(x-1)/(x^2+1-6*x) lgdogf] A110170 4.77152 [{(n+3)*a(n+3)+(-16-7*n)*a(n+2)+(5+7*n)*a(n+1)-n*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A110184 2.78956 [f(x)^2*x^4-12*f(x)^2*x^3-2*f(x)*x^4+38*f(x)^2*x^2+18*f(x)*x^3-12*f(x)^2*x-40*f(x)*x^2+2*x^3+f(x)^2+18*f(x)*x-3*x^2-2*f(x)+2*x ogf] A110185 12.3326 [x*(4*x^3+3*x^2+12*x+1)/(x+1)^2/(x-1)^2 ogf] A110185 13.7250 [-2*(6+5*x+2*x^4+3*x^3+24*x^2)/(x-1)/(x+1)/(4*x^3+3*x^2+12*x+1) lgdogf] A110185 4.27368 [{(8*n^2+12*n)*a(n)+(2*n^2+9*n+10)*a(n+1)+(-8*n^2+4*n)*a(n+2)+(-2*n^2-5*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=12} ogf] A110185 7.77733 [(256*f(x)+1211)*(f(x)*x^4-4*x^4-2*f(x)*x^2-3*x^3-12*x^2+f(x)-x) ogf] A110190 6.41594 [f(x)*x^4-f(x)^2*x^2-7*f(x)*x^3+12*f(x)*x^2-x^3-7*f(x)*x+2*x^2+f(x)-x ogf] A110198 12.6274 [-(2-2*x+3*x^4-7*x^3+x^2)/(x-1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A110199 3.70211 [{(-4*n-12)*a(n+1)+(4*n+12)*a(n+2)+(n+6)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=2} ogf] A110199 7.71596 [f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A110202 6.87670 [-x*(32*x^2-38*x+9)/(2*x-1)/(4*x-1)^2/(x-1)^2 ogf] A110202 8.03670 [-2*(35-270*x+384*x^4-896*x^3+756*x^2)/(x-1)/(2*x-1)/(4*x-1)/(32*x^2-38*x+9) lgdogf] A110203 3.79092 [x^2*(576*x^4-1360*x^3+1140*x^2-396*x+49)/(2*x-1)^2/(4*x-1)^3/(x-1)^3 ogf] A110206 4.18199 [{a(n+3)-28*a(n+2)+224*a(n+1)-512*a(n),a(0)=1,a(1)=36,a(2)=784} ogf] A110206 4.40209 [(5823*f(x)-3896)*(512*f(x)*x^3-224*f(x)*x^2+28*f(x)*x-f(x)+8*x+1) ogf] A110206 8.04506 [-4*(9-112*x+2048*x^3-64*x^2)/(16*x-1)/(8*x-1)/(1+8*x)/(4*x-1) lgdogf] A110206 8.65240 [-(8*x+1)/(16*x-1)/(8*x-1)/(4*x-1) ogf] A110210 16.0944 [-(-1+18*x^2+48*x^3)/(x-1)/(1+4*x)/(6*x^2+6*x+1) lgdogf] A110210 16.1659 [(4*x+1)/(x-1)/(6*x^2+6*x+1) ogf] A110210 7.73901 [{a(n+3)+5*a(n+2)-6*a(n),a(0)=-1,a(1)=1,a(2)=-5} ogf] A110210 8.17377 [-(3*f(x)+1)*(6*f(x)*x^3-5*f(x)*x-f(x)-4*x-1) ogf] A110211 15.4169 [-3*(-1+8*x^3+6*x^2)/(x-1)/(2*x+1)/(6*x^2+6*x+1) lgdogf] A110211 15.5371 [(2*x+1)/(x-1)/(6*x^2+6*x+1) ogf] A110211 7.35969 [{-a(n+3)-5*a(n+2)+6*a(n),a(0)=-1,a(1)=3,a(2)=-15} ogf] A110211 9.08015 [f(x)*(6*f(x)*x^3-5*f(x)*x-f(x)-2*x-1) ogf] A110212 23.3388 [-(-5+18*x^2)/(x-1)/(6*x^2+6*x+1) lgdogf] A110212 24.8764 [1/(x-1)/(6*x^2+6*x+1) ogf] A110212 7.59386 [{-a(n+3)-5*a(n+2)+6*a(n),a(0)=-1,a(1)=5,a(2)=-25} ogf] A110212 8.48727 [-(f(x)+1)*(6*f(x)*x^3-5*f(x)*x-f(x)-1) ogf] A110213 16.2434 [(2*x-1)/(x-1)/(6*x^2+6*x+1) ogf] A110213 16.4430 [-(7-18*x^2+24*x^3)/(x-1)/(2*x-1)/(6*x^2+6*x+1) lgdogf] A110213 7.69423 [{-a(n+3)-5*a(n+2)+6*a(n),a(0)=1,a(1)=-7,a(2)=35} ogf] A110213 8.49945 [(45*f(x)+4)*(6*f(x)*x^3-5*f(x)*x-f(x)-2*x+1) ogf] A110224 4.26337 [(683*f(x)-9)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+x^3-3*f(x)*x+3*x^2+f(x)+x-1) ogf] A110224 7.53332 [-(2+6*x+x^6+6*x^5-9*x^2+8*x^3+18*x^4)/(x+1)/(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A110224 7.69621 [-(x+1)*(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A110225 6.89958 [(x^8-2*x^7-2*x^6+3*x^5-8*x^3+2*x^2+3*x-1)/(x-1)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A110241 4.93415 [-(41*f(x)-11)*(64*f(x)*x^3-24*f(x)*x^2-6*f(x)*x+8*x^2+f(x)+4*x-1) ogf] A110241 5.10577 [{-a(n+3)+6*a(n+2)+24*a(n+1)-64*a(n),a(0)=1,a(1)=2,a(2)=28} ogf] A110241 7.66907 [-2*(1+16*x-120*x^2+256*x^3+256*x^4)/(4*x+1)/(-1+8*x)/(-1+2*x)/(8*x^2+4*x-1) lgdogf] A110241 9.32005 [-(8*x^2+4*x-1)/(4*x+1)/(8*x-1)/(2*x-1) ogf] A110269 13.8954 [-(2*x+1)*(3*x^4+6*x^3+5*x^2+2*x+2)/(x-1)/(1+x)/(x^2+x+1)/(3*x^2+4*x+2) lgdogf] A110269 13.9619 [-x*(3*x^2+4*x+2)/(x-1)/(x+1)/(x^2+x+1) ogf] A110269 7.8915 [(f(x)+2)*(f(x)*x^4+f(x)*x^3+3*x^3-f(x)*x+4*x^2-f(x)+2*x) ogf] A110270 14.7892 [-x*(2*x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A110270 15.1981 [-2*x^3*(4+3*x^2+2*x^6)/(x-1)/(1+x)/(x^2+x+1)/(x^2-x+1)/(1+2*x^4) lgdogf] A110272 3.72492 [(17516*f(x)+659)*(f(x)*x^4+12*f(x)*x^3-30*f(x)*x^2+x^3-12*f(x)*x+4*x^2+f(x)-x) ogf] A110272 6.95971 [-x*(x^2+4*x-1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A110272 7.12694 [-2*(4+29*x+x^5+46*x^3+12*x^4-72*x^2)/(x^2+14*x-1)/(x^2+4*x-1)/(x^2-2*x-1) lgdogf] A110273 3.47972 [(452638*f(x)+14263)*(f(x)*x^4+12*f(x)*x^3-30*f(x)*x^2+x^3-12*f(x)*x+5*x^2+f(x)+3*x-1) ogf] A110273 6.03744 [-(9+50*x+x^6+10*x^5+92*x^3+99*x^4-69*x^2)/(x+1)/(x^2+14*x-1)/(x^2+4*x-1)/(x^2-2*x-1) lgdogf] A110273 6.48096 [-(x+1)*(x^2+4*x-1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A110274 6.35379 [(8*x^4+28*x^3+6*x^2-7*x-16)/(x-1)/(x^2+x+1)/(4*x^2-8*x+1) ogf] A110275 6.39965 [-(40*x^4-36*x^3-10*x^2-39*x+48)/(x-1)/(x^2+x+1)/(4*x^2-8*x+1) ogf] A110276 7.19737 [-1/2*(-(x^2-6*x+1)^(1/2)+8*x*(x^2-6*x+1)^(1/2)+1-3*x-4*x^2)/x/(-1+4*x)/(x^2-6*x+1)^(1/2) lgdogf] A110286 14.6431 [{a(n+1)-2*a(n),a(0)=15} ogf] A110286 18.4781 [-2*f(x)*x+f(x)-15 ogf] A110286 29.3210 [-1/2*ln(15)+1/2*ln(15+2*x) revegf] A110286 29.8493 [-15/(2*x-1) ogf] A110286 69.3042 [-2/(-1+2*x) lgdogf] A110287 14.7726 [{a(n+1)-2*a(n),a(0)=17} ogf] A110287 18.6416 [-2*f(x)*x+f(x)-17 ogf] A110287 29.5851 [-1/2*ln(17)+1/2*ln(17+2*x) revegf] A110287 30.1135 [-17/(2*x-1) ogf] A110287 76.9214 [-2/(2*x-1) lgdogf] A110288 14.8374 [{a(n+1)-2*a(n),a(0)=19} ogf] A110288 18.7234 [-2*f(x)*x+f(x)-19 ogf] A110288 29.7172 [-1/2*ln(19)+1/2*ln(19+2*x) revegf] A110288 30.2455 [-19/(2*x-1) ogf] A110288 77.2648 [-2/(2*x-1) lgdogf] A110293 11.4033 [-(x^3+x^2-7*x-1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A110293 6.78036 [-(5822*f(x)-571)*(f(x)*x^4-14*f(x)*x^2+x^3+x^2+f(x)-7*x-1) ogf] A110293 7.98587 [-(7+26*x-7*x^4-4*x^3+x^6+2*x^5+95*x^2)/(x^2-4*x+1)/(x^2+4*x+1)/(x^3+x^2-7*x-1) lgdogf] A110294 10.2460 [-2*(4-15*x+x^5-12*x^4+2*x^3+56*x^2)/(x^2+4*x+1)/(x^2-4*x+1)/(x^2-8*x+1) lgdogf] A110294 12.0986 [(x^2-8*x+1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A110294 7.01715 [(5822*f(x)-1539)*(f(x)*x^4-14*f(x)*x^2-x^2+f(x)+8*x-1) ogf] A110303 28.8762 [-x^19+x^18+2 ogf_with_Euler_transform] A110307 11.6702 [(2*x+1)/(x^2+x+1)/(x^2+5*x+1) ogf] A110307 5.51848 [(110871*f(x)-5639)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2+6*f(x)*x+f(x)-2*x-1) ogf] A110308 10.7076 [-x*(x+2)/(x^2+x+1)/(x^2+5*x+1) ogf] A110308 12.4930 [-(11+28*x+3*x^4+20*x^3+43*x^2)/(x+2)/(x^2+x+1)/(x^2+5*x+1) lgdogf] A110308 5.1176 [-(45651*f(x)-1319)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2+6*f(x)*x+x^2+f(x)+2*x) ogf] A110309 10.1790 [(x^2+3*x+1)/(x^2+x+1)/(x^2+5*x+1) ogf] A110309 10.3968 [-(3+12*x+2*x^5+15*x^4+40*x^3+33*x^2)/(x^2+x+1)/(x^2+3*x+1)/(x^2+5*x+1) lgdogf] A110309 5.20259 [-(527*f(x)+4)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2+6*f(x)*x-x^2+f(x)-3*x-1) ogf] A110310 10.6396 [(x^2-x+1)/(x^2+x+1)/(x^2+5*x+1) ogf] A110310 11.6854 [-(7+12*x+2*x^5+5*x^2-8*x^3+3*x^4)/(x^2+x+1)/(x^2+5*x+1)/(x^2-x+1) lgdogf] A110310 5.39802 [-(790*f(x)+99)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2+6*f(x)*x-x^2+f(x)+x-1) ogf] A110311 16.1727 [1/(x^2+x+1)/(x^2+5*x+1) ogf] A110311 17.1181 [-2*(3+7*x+9*x^2+2*x^3)/(x^2+x+1)/(x^2+5*x+1) lgdogf] A110311 5.73051 [-(12099*f(x)+104)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2+6*f(x)*x+f(x)-1) ogf] A110313 25.0277 [2+x-x^2+(x^2-1+x)*f(x) lgdegf] A110315 7.76658 [-(x^2+2*x-1)*(x^2-x-1)/(x-1)^3/(x+1)^3 ogf] A110322 18.9480 [(2*x+1)*(x-2)/(x+1)/(2*x-1) lgdegf] A110325 13.2002 [(2*x^2+3*x-1)/(x-1)^3 ogf] A110325 32.3890 [-2*x*(x+5)/(x-1)/(2*x^2+3*x-1) lgdogf] A110325 6.60008 [-(2096*f(x)+13529)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)-3*x+1) ogf] A110325 7.25414 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=-5} ogf] A110326 10.0680 [-(x^4+x^3-6*x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A110326 15.6924 [-(-1-6*x+2*x^5-2*x^2-20*x^3+3*x^4)/(x-1)/(x+1)/(x^4+x^3-6*x^2-x+1) lgdogf] A110328 26.5639 [(-3+x^2)/(-1+2*x+x^2) lgdegf] A110331 13.3393 [-(x^2-4*x+1)/(x-1)^3 ogf] A110331 31.9271 [-(-1-6*x+x^2)/(x-1)/(x^2-4*x+1) lgdogf] A110331 7.26518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-5} ogf] A110331 9.14271 [-f(x)*x^3+3*f(x)*x^2-3*f(x)*x-x^2+f(x)+4*x-1 ogf] A110332 10.1503 [-(x^4+2*x^3-4*x^2-2*x+1)/(x-1)^3/(x+1)^3 ogf] A110332 15.7072 [-2*(-1+x^5-x+3*x^4-6*x^3-2*x^2)/(x-1)/(x+1)/(x^4+2*x^3-4*x^2-2*x+1) lgdogf] A110344 11.3107 [-(7*x^3+3*x^2+5*x+1)/(x-1)^3/(x+1)^3 ogf] A110345 10.1405 [-(3+24*x+18*x^2+44*x^3+3*x^4+4*x^5)/(x-1)/(x+1)/(2*x^4+x^3+9*x^2+3*x+1) lgdogf] A110345 9.07875 [-(2*x^4+x^3+9*x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A110347 8.98238 [1/27*(-5-18*x+((1+6*x+12*x^2)*(5+30*x+24*x^2)^2)^(1/2))/(2*x+1)^3 revegf] A110349 9.66499 [-(x^3+2*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A110365 14.4249 [2*(1+8*x+28*x^2)/(28*x^2-1)/(20*x^2-2*x-1) lgdogf] A110365 14.6440 [2*(20*x^2-2*x-1)/(28*x^2-1) ogf] A110365 8.68421 [{a(n+3)-28*a(n+1),a(0)=2,a(1)=4,a(2)=16} ogf] A110365 9.22028 [-(2*f(x)-3)*(28*f(x)*x^2-40*x^2-f(x)+4*x+2) ogf] A110369 10.9512 [(11*x-2)/(10*x-1)/(x-1)^2 ogf] A110369 14.5820 [-(13-71*x+220*x^2)/(x-1)/(11*x-2)/(10*x-1) lgdogf] A110369 4.99377 [-(25110081*f(x)+21159220)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)-11*x+2) ogf] A110369 5.29001 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=2,a(1)=13,a(2)=114} ogf] A110370 6.02055 [(f(x)*x+2*f(x)-5*x-2)*(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A110371 12.0273 [f(x)^2*x^2+4*f(x)*x-2*f(x)+4 egf] A110371 15.8831 [4/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdegf] A110371 6.22465 [{(4*n^2+18*n+20)*a(n+1)+(-n-4)*a(n+2),a(0)=2,a(1)=4} ogf] A110388 8.64934 [-(8*x^9+7*x^8+3*x^7+3*x^6+5*x^5+4*x^4+6*x^3+6*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A110391 12.8800 [-(4*x^2-2*x-1)/(x^2-3*x+1)/(x+1) ogf] A110391 14.4878 [-(2*x^2-x+2)^2/(1+x)/(x^2-3*x+1)/(4*x^2-2*x-1) lgdogf] A110391 6.83197 [-(f(x)-1)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-2*x-1) ogf] A110391 7.01497 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=6} ogf] A110395 11.5615 [2*(9+60*x+100*x^2+50*x^3)/(x+1)/(10*x^2+10*x+1) lgdegf] A110395 4.01152 [{(-10*n^2-70*n-120)*a(n+1)+(n^2-3*n-28)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=18,a(2)=246} ogf] A110397 7.83725 [-(9900*x^11-19800*x^10+9900*x^9+100*x^2-201*x+99)/(x-1)^3 ogf] A110400 3.34308 [-(56934431471907*f(x)-398236113166954)*(10*f(x)*x^3+200*x^4-f(x)*x^2+300*x^3-10*f(x)*x+79*x^2+f(x)-11*x-1) ogf] A110400 6.52884 [-(200*x^4+300*x^3+79*x^2-11*x-1)/(x-1)/(10*x-1)/(x+1) ogf] A110402 7.65576 [-(f(x)*x^2-2*f(x)*x+f(x)+x-11)^2 ogf] A110403 5.18623 [(f(x)-11)*(f(x)*x^2-2*f(x)*x+f(x)+10*x-11)^2 ogf] A110422 16.6323 [-2*(x+1)*(5*x^4-11*x^3+12*x^2-5*x+1)/(x-1)/(x^2+1)/(2*x^3-x^2+1) lgdogf] A110422 9.02464 [(2*x^3-x^2+1)/(x-1)^2/(x^2+1)^3 ogf] A110426 10.0861 [(2*x^2+2*x-1)/(x-1)^5 ogf] A110426 24.8252 [-3*(-1+4*x+2*x^2)/(x-1)/(2*x^2+2*x-1) lgdogf] A110426 4.37801 [{(n+4)*a(n+4)+(-12-3*n)*a(n+3)+12*a(n+2)+(8+2*n)*a(n+1),a(0)=1,a(1)=3,a(2)=3,a(3)=-5} ogf] A110427 11.5561 [-(x^2+3*x-1)/(x-1)^4 ogf] A110427 27.5453 [-(-1+11*x+2*x^2)/(x-1)/(x^2+3*x-1) lgdogf] A110427 4.00690 [{(n+4)*a(n+4)+(-13-4*n)*a(n+3)+(15+2*n)*a(n+2)+(n+3)*a(n+1),a(0)=1,a(1)=1,a(2)=-3,a(3)=-14} ogf] A110427 5.82025 [(22950*f(x)-35197)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)+3*x-1) ogf] A110430 11.3495 [(5*x^2-x+5)/(10*x-1)/(x-1) ogf] A110430 13.6099 [-9*(-6+10*x+5*x^2)/(x-1)/(10*x-1)/(5*x^2-x+5) lgdogf] A110430 5.83384 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=5,a(1)=54,a(2)=549} ogf] A110430 6.43527 [(11+14*f(x))*(10*f(x)*x^2-11*f(x)*x-5*x^2+f(x)+x-5) ogf] A110431 13.57 [-10*f(x)*x+f(x)+5*x-6 ogf] A110431 16.4269 [(5*x-6)/(10*x-1) ogf] A110431 19.7562 [3/5+x-1/5*(9+25*x+25*x^2)^(1/2) revogf] A110431 32.2339 [55/(10*x-1)/(5*x-6) lgdogf] A110431 8.43542 [{a(n+2)-10*a(n+1),a(0)=6,a(1)=55} ogf] A110450 35.2149 [[7-2*x] ogf_with_Euler_transform] A110450 36.7311 [-(7+3*x)/(x-1)/(x+1) lgdogf] A110450 5.56248 [{(n+2)*a(n+3)-7*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=3,a(2)=21} ogf] A110450 8.98039 [-3*x*(x+1)^2/(x-1)^5 ogf] A110451 10.0032 [x*(3*x^2+14*x+7)/(x-1)^4 ogf] A110451 20.8402 [-6*(x+7)*(x+1)/(x-1)/(3*x^2+14*x+7) lgdogf] A110451 3.66455 [{(21+7*n)*a(n+4)+(-28+7*n)*a(n+3)+(-59-11*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=7,a(2)=42,a(3)=129} ogf] A110451 4.93492 [-(1040904*f(x)+7145197)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-14*x^2+f(x)-7*x) ogf] A110452 50.5361 [1 lgdogf] A110468 3.90495 [{(-4*n^3-26*n^2-56*n-40)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A110485 4.26552 [(x^15-x^14+x^13-x^12+3*x^11-11*x^10-3*x^9+x^8-3*x^7-11*x^6+3*x^5+x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110491 11.7177 [-2*f(x)^2*x+f(x)^2-2*x-1 egf] A110491 31.2438 [-2/(2*x-1)/(2*x+1) lgdegf] A110491 5.62908 [{(-4*n^2-4*n)*a(n)+a(n+2)-2*a(n+1),a(0)=1,a(1)=2} ogf] A110508 6.75953 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)^2+f(x)*x-3*f(x)+2 ogf] A110508 7.44139 [-1/2*(-4*x+24*x^3+29*x^2+(-(-1+8*x)*(x^2-10*x-2)^2)^(1/2))/(-1+8*x)/(x^3+2*x^2+1) lgdogf] A110512 10.0712 [2*f(x)*x^2+f(x)*x+f(x)-x-1 ogf] A110512 14.0997 [(x+1)/(2*x^2+x+1) ogf] A110512 17.2455 [-1/2*(x-1+(-7*x^2+2*x+1)^(1/2))/(-1+2*x) revogf] A110512 24.6364 [-2*x*(x+2)/(x+1)/(2*x^2+x+1) lgdogf] A110512 7.83317 [{-a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=0} ogf] A110513 18.4938 [(x+1)/(x^3+2*x+1) ogf] A110513 25.8254 [-(1+3*x^2+2*x^3)/(x+1)/(x^3+2*x+1) lgdogf] A110513 8.85341 [{-a(n+3)-2*a(n+2)-a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A110513 9.3508 [-(5*f(x)-3)*(f(x)*x^3+2*f(x)*x+f(x)-x-1) ogf] A110514 13.1303 [(x^3+x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A110514 16.3288 [-(-1+4*x+4*x^5+3*x^6+x^2+8*x^3-3*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2-x+1) lgdogf] A110516 13.6610 [-(x^3+x^2-x+1)/(x^2+1)/(x-1)/(x+1)^2 ogf] A110516 17.0359 [-2*(x^2+2*x-1)*(x^4-x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2-x+1) lgdogf] A110520 10.7302 [-4*f(x)^2*x-f(x)^2+4*f(x)-3 ogf] A110520 12.3016 [-2*(-1+12*x+2*(1-12*x)^(1/2))/(4*x+1)/(-1+12*x) lgdogf] A110520 17.5205 [1/3*(2-2*x+(1-8*x+4*x^2)^(1/2))*x revogf] A110520 3.85725 [{(48*n+72)*a(n+1)+(8*n+6)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A110521 6.45235 [f(x)^2*x^3+2*f(x)^2*x^2+2*f(x)^2+f(x)*x-5*f(x)+3 ogf] A110521 6.92988 [-1/2*(-4*x+45*x^2+36*x^3+(-(-1+12*x)*(x^2-16*x-4)^2)^(1/2))/(-1+12*x)/(x^3+2*x^2+2) lgdogf] A110523 10.2670 [{-a(n+2)-a(n+1)-3*a(n),a(0)=1,a(1)=0} ogf] A110523 13.2005 [3*f(x)*x^2+f(x)*x+f(x)-x-1 ogf] A110523 18.4806 [(x+1)/(3*x^2+x+1) ogf] A110523 21.7133 [-1/2*(x-1+(-11*x^2+2*x+1)^(1/2))/(-1+3*x) revogf] A110523 31.7945 [-3*x*(x+2)/(x+1)/(1+3*x^2+x) lgdogf] A110524 17.4057 [(x+1)/(2*x^3+2*x+1) ogf] A110524 22.9124 [-(1+6*x^2+4*x^3)/(x+1)/(2*x^3+2*x+1) lgdogf] A110524 8.33252 [{-a(n+3)-2*a(n+2)-2*a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A110524 8.80063 [-(7*f(x)-5)*(2*f(x)*x^3+2*f(x)*x+f(x)-x-1) ogf] A110525 6.45706 [-f(x)^2*x^3+f(x)^2*x-3*f(x)^2-f(x)*x+6*f(x)-3 ogf] A110525 7.23074 [1/2*(-1+12*x+3*x^2-36*x^3+(-(-1+12*x)*(x^2-18*x+1)^2)^(1/2))/(-1+12*x)/(x^3-x+3) lgdogf] A110526 13.8422 [-x/(x+1)/(x^2+4*x-1) ogf] A110526 19.1676 [-(x+3)*(3*x+1)/(x+1)/(x^2+4*x-1) lgdogf] A110526 5.61169 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A110526 5.98941 [-(47*f(x)-5)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x-f(x)+x) ogf] A110527 10.2866 [-x*(5*x+1)/(x+1)/(x^2+4*x-1) ogf] A110527 5.18883 [(2228*f(x)+2065)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+x) ogf] A110527 5.28232 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A110528 4.68642 [-(206620*f(x)-81873)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+7*x+1) ogf] A110528 5.09751 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=37} ogf] A110528 9.52649 [-(2*x^2+7*x+1)/(x+1)/(x^2+4*x-1) ogf] A110532 10.0590 [x^2*(2*x^4+2*x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A110533 4.53981 [-x^5*(x^11+x^10+x^9+x^8+x^7+3*x^6+4*x^5+x^4+x^3+x^2+3*x+2)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^3 ogf] A110549 7.08773 [-(2+4*x+x^12+7*x^10-4*x^7+16*x^8+2*x^11-x^2+10*x^3+x^4+6*x^6-4*x^9)/(x-1)/(1+x^2)/(x^2-x+1)/(x^4+2*x^3+4*x^2+2*x+1)/(x^4+1) lgdogf] A110549 7.60725 [-(x^2-x+1)*(x^4+2*x^3+4*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1) ogf] A110550 10.2564 [-(3-2*x+4*x^7+x^8+7*x^2-4*x^3-4*x^4+10*x^5-5*x^6)/(x-1)/(x^2+3*x+1)/(x^2-x+1)/(x^4+1) lgdogf] A110550 11.5591 [-(x^2+3*x+1)*(x^2-x+1)/(x-1)/(x^4+1) ogf] A110551 13.4994 [-(x^2+x+1)/(x-1)/(x^2-x+1) ogf] A110551 16.7805 [-(3-2*x+2*x^3+x^4-x^2)/(x-1)/(1+x^2+x)/(x^2-x+1) lgdogf] A110551 24.8915 [x^5-2*x^2-x+3 ogf_with_Euler_transform] A110551 7.35237 [(4*f(x)-39)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)+x+1) ogf] A110551 7.35237 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A110556 6.63894 [{(-4*n-2)*a(n)+(-n-1)*a(n+1),a(0)=1,a(1)=-1} ogf] A110556 8.73065 [4*f(x)^2*x+f(x)^2-4*f(x)*x-f(x)+x ogf] A110568 7.70055 [-(x^4-x^3+3*x^2-x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A110568 9.98251 [-x*(4-2*x^6+9*x^5-8*x^4-2*x+7*x^3+x^7)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+3*x^2-x+1) lgdogf] A110569 8.85446 [-(x^2+1)*(2*x^2-x+2)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A110569 9.36588 [-(1+4*x+11*x^6-8*x^5+2*x^8-2*x^7+10*x^4)/(x-1)/(x^2+1)/(1+x^2+x)/(2*x^2-x+2)/(x^2-x+1) lgdogf] A110591 11.5267 [-(x^52+x^48-x^16-x^4-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x^16-x^8+1)/(x-1)^2 ogf] A110592 11.0532 [(-1-5*x^4+4*x^5-25*x^24+24*x^25)/(x-1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x^15-x^10+1) lgdogf] A110592 19.8259 [-(x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)*(x^15-x^10+1)/(x-1) ogf] A110593 14.8424 [-3*f(x)*x+f(x)+3*x-3 ogf] A110593 18.0516 [3*(x-1)/(3*x-1) ogf] A110593 19.8448 [1/2+1/2*x-1/6*(9+6*x+9*x^2)^(1/2) revogf] A110593 40.9299 [2/(-1+3*x)/(x-1) lgdogf] A110593 9.27653 [{a(n+2)-3*a(n+1),a(0)=3,a(1)=6} ogf] A110594 14.0052 [-4*f(x)*x+f(x)+4*x-4 ogf] A110594 17.0333 [4*(x-1)/(4*x-1) ogf] A110594 21.2997 [1/2+1/2*x-1/2*(1+x+x^2)^(1/2) revogf] A110594 38.6057 [3/(-1+4*x)/(x-1) lgdogf] A110594 8.63333 [{a(n+2)-4*a(n+1),a(0)=4,a(1)=12} ogf] A110595 13.1253 [-5*f(x)*x+f(x)+5*x-5 ogf] A110595 15.6340 [1/2+1/2*x-1/10*(25+30*x+25*x^2)^(1/2) revogf] A110595 15.9632 [5*(x-1)/(5*x-1) ogf] A110595 38.5639 [4/(5*x-1)/(x-1) lgdogf] A110595 8.09092 [{a(n+2)-5*a(n+1),a(0)=5,a(1)=20} ogf] A110609 4.09180 [{(8*n^2+28*n+24)*a(n+1)+(2*n^2+20*n+42)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A110609 4.23536 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2+64*f(x)*x^3+f(x)^2*x-48*f(x)*x^2-4*x^3+12*f(x)*x-4*x^2-f(x)+x ogf] A110610 15.1795 [-(-4-2*x+3*x^3-5*x^2)/(x-1)/(1+x)/(x^3-2*x^2+x-1) lgdogf] A110610 5.12667 [(6528*f(x)+75827)*(f(x)*x^4-4*f(x)*x^3+x^4+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-1) ogf] A110610 9.36725 [-(x+1)*(x^3-2*x^2+x-1)/(x-1)^4 ogf] A110611 13.6906 [-(4+10*x+x^5+x^3-x^4+x^2)/(x-1)/(x+1)/(x^4-2*x^3+x^2+x+1) lgdogf] A110611 8.55475 [(x^4-2*x^3+x^2+x+1)/(x+1)/(x-1)^4 ogf] A110613 10.1758 [-x*(-6+40*x^3-80*x^2+39*x)/(2*x-1)/(4*x-1)/(x+1)/(5*x^2-5*x+1) lgdogf] A110613 10.5009 [(5*x^2-5*x+1)/(4*x-1)/(2*x-1)/(x+1) ogf] A110613 5.52204 [(1228*f(x)-499)*(8*f(x)*x^3+2*f(x)*x^2-5*f(x)*x-5*x^2+f(x)+5*x-1) ogf] A110613 5.77078 [{-a(n+3)+5*a(n+2)-2*a(n+1)-8*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A110614 11.2934 [-(5-20*x+64*x^4+16*x^2)/(4*x-1)/(-1+2*x)/(1+x)/(8*x^2-1) lgdogf] A110614 13.4325 [-(8*x^2-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A110614 6.77570 [{a(n+3)-5*a(n+2)+2*a(n+1)+8*a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A110614 7.02434 [(23*f(x)+52)*(8*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+8*x^2+f(x)-1) ogf] A110622 4.26552 [-(x^15-x^14-x^13+x^12+11*x^11-3*x^10+3*x^9-x^8+11*x^7+3*x^6-3*x^5-x^4+x^3+x^2+x+1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110650 4.32704 [(x^15+x^14-x^13-x^12+3*x^11-3*x^10-11*x^9+x^8-3*x^7+3*x^6-11*x^5+x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110651 4.18598 [(x^15+x^14-x^13-x^12-3*x^11+3*x^10-11*x^9+x^8+3*x^7-3*x^6-11*x^5+x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110652 4.18598 [(x^15-x^14+x^13-x^12-3*x^11-11*x^10+3*x^9+x^8+3*x^7-11*x^6-3*x^5+x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110653 4.30653 [-(x^15-x^14-x^13+x^12+11*x^11+3*x^10-3*x^9-x^8+11*x^7-3*x^6+3*x^5-x^4+x^3+x^2+x+1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A110654 11.8673 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-x ogf] A110654 20.3063 [x/(x-1)^2/(x+1) ogf] A110654 43.3805 [[1+x] ogf_with_Euler_transform] A110654 45.0396 [-(1+3*x)/(x-1)/(x+1) lgdogf] A110654 8.23229 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A110655 20.6626 [x/(x^2+1)/(x+1)/(x-1)^2 ogf] A110655 21.8238 [-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdogf] A110655 37.0892 [[x^3+1] ogf_with_Euler_transform] A110655 9.02736 [-(f(x)+2)*(f(x)*x^5-f(x)*x^4-f(x)*x+f(x)-x) ogf] A110656 15.7501 [-(1+x+x^2+x^3+x^4+x^5+x^6+9*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A110656 21.3030 [x/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A110656 38.2552 [[x^7+1] ogf_with_Euler_transform] A110657 12.3865 [-(2-5*x^5-2*x+2*x^6+3*x^4+5*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3-2*x^2+x+1) lgdogf] A110657 12.6769 [x*(x^3-2*x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A110658 8.71145 [(x^6-2*x^4+x^2+1)*(x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A110659 13.2840 [-x^2*(-x^3-3*x^4+3*x^2-2*x+x^5-6)/(x-1)/(x+1)/(x^2+1)/(x^4-2*x^3+x-1) lgdogf] A110659 13.4118 [-(x^4-2*x^3+x-1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A110660 13.7789 [-2*x^2/(x+1)^2/(x-1)^3 ogf] A110660 39.8529 [[1+2*x] ogf_with_Euler_transform] A110660 41.6195 [-(1+5*x)/(x-1)/(x+1) lgdogf] A110660 6.36751 [{(-1-n)*a(n+3)+a(n+2)+(4+n)*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A110660 7.18386 [-f(x)*x^5+f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x) ogf] A110665 12.3371 [-(2*x-1)*x/(x^2-x+1)^2 ogf] A110665 6.36437 [(9*f(x)-91)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x) ogf] A110666 12.3485 [(2*x-1)*x/(x-1)/(x^2-x+1)^2 ogf] A110666 24.4957 [-(-1+9*x-15*x^2+8*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110667 10.2987 [-(2*x-1)*x/(x-1)^2/(x^2-x+1)^2 ogf] A110667 23.3122 [-2*(-1+6*x-9*x^2+5*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110668 21.4726 [-3*(-1+5*x-7*x^2+4*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110668 8.83581 [(2*x-1)*x/(x^2-x+1)^2/(x-1)^3 ogf] A110669 20.2935 [-2*(-2+9*x-12*x^2+7*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110669 8.07776 [-(2*x-1)*x/(x^2-x+1)^2/(x-1)^4 ogf] A110670 19.0777 [-(-5+21*x-27*x^2+16*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110670 7.13861 [(2*x-1)*x/(x^2-x+1)^2/(x-1)^5 ogf] A110671 19.1939 [-6*(4*x-5*x^2+3*x^3-1)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110671 6.26351 [-(2*x-1)*x/(x^2-x+1)^2/(x-1)^6 ogf] A110672 18.2051 [-(-7+27*x-33*x^2+20*x^3)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A110672 5.69313 [(2*x-1)*x/(x^2-x+1)^2/(x-1)^7 ogf] A110678 13.8080 [-2*(36*x^2-73*x+36)/(x-1)^3 ogf] A110678 26.6264 [-(35-74*x+36*x^2)/(x-1)/(36*x^2-73*x+36) lgdogf] A110678 7.29692 [-(41*f(x)+5550)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+72*x^2-f(x)-146*x+72) ogf] A110678 7.80452 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=72,a(1)=70,a(2)=66} ogf] A110679 13.6043 [(x-1)/(x+1)/(x^2+4*x-1) ogf] A110679 13.7087 [-2*(-1-5*x+x^2+x^3)/(x-1)/(x+1)/(x^2+4*x-1) lgdogf] A110679 6.38079 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=11} ogf] A110679 6.67619 [(3944*f(x)+577)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A110683 6.49908 [(7*x^2+3*x-1)*(2*x^2+2*x+1)/(x-1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110684 6.46901 [(4*x^4-4*x^3-12*x^2-8*x-1)/(x-1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110685 6.15375 [(4*x^4-4*x^3-2*x^2+4*x+1)/(x-1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110686 5.56222 [-(4+20*x+144*x^8+724*x^6+596*x^5+290*x^4+68*x^3+576*x^7+35*x^2)/(2*x+1)/(x-1)/(4*x^2+8*x+1)/(2*x^3+2*x^2+4*x+1)/(3*x^2+3*x+1) lgdogf] A110686 6.94071 [(2*x+1)*(4*x^2+8*x+1)/(x-1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110687 5.69691 [-2*(-4-28*x+42*x^8+79*x^6-94*x^5-204*x^4-172*x^3+120*x^7-90*x^2)/(3*x^2+3*x+1)/(2*x^2+2*x+1)/(7*x^2+3*x-1)/(2*x^3+2*x^2+4*x+1) lgdogf] A110687 6.99049 [-(7*x^2+3*x-1)*(2*x^2+2*x+1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110688 7.08153 [-(2*x+1)*(6*x^2+4*x+1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110689 6.18139 [-3*(-1-2*x+152*x^6+240*x^5+218*x^4+112*x^3+32*x^7+22*x^2)/(2*x+1)/(4*x^2+8*x+1)/(2*x^3+2*x^2+4*x+1)/(3*x^2+3*x+1) lgdogf] A110689 7.47496 [(2*x+1)*(4*x^2+8*x+1)/(3*x^2+3*x+1)/(2*x^3+2*x^2+4*x+1) ogf] A110690 10.1372 [-(22+166*x+5*x^4+100*x^3+265*x^2)/(x-1)/(x^4+16*x^3+31*x^2+13*x+1) lgdogf] A110690 5.01646 [-(x^4+16*x^3+31*x^2+13*x+1)/(x-1)^9 ogf] A110691 3.73236 [(x^6+35*x^5+227*x^4+410*x^3+227*x^2+35*x+1)/(x-1)^10 ogf] A110691 6.16916 [-(45+769*x+1537*x^4+3778*x^3+3046*x^2+4*x^6+181*x^5)/(x-1)/(x^6+35*x^5+227*x^4+410*x^3+227*x^2+35*x+1) lgdogf] A110692 5.45791 [(8*x^4+54*x^3+71*x^2+21*x+1)/(x-1)^8 ogf] A110692 9.69646 [-(29+289*x+32*x^4+302*x^3+588*x^2)/(x-1)/(8*x^4+54*x^3+71*x^2+21*x+1) lgdogf] A110693 3.88428 [(9*x^5+86*x^4+195*x^3+133*x^2+26*x+1)/(x-1)^10 ogf] A110693 7.00616 [-(36+500*x+1649*x^2+1709*x^3+561*x^4+45*x^5)/(x-1)/(9*x^5+86*x^4+195*x^3+133*x^2+26*x+1) lgdogf] A110694 12.2181 [-(19+113*x+20*x^3+120*x^2)/(x-1)/(4*x^3+18*x^2+11*x+1) lgdogf] A110694 5.80262 [(4*x^3+18*x^2+11*x+1)/(x-1)^8 ogf] A110706 3.35587 [{(8*n^2+32*n+32)*a(n+1)+(7*n^2+59*n+120)*a(n+2)+(-n^2-9*n-20)*a(n+3),a(0)=6,a(1)=30,a(2)=174} ogf] A110711 3.23003 [{(-8*n^2-32*n-32)*a(n+1)+(-7*n^2-43*n-64)*a(n+2)+(n^2+7*n+10)*a(n+3),a(0)=0,a(1)=6,a(2)=42} ogf] A110712 8.58092 [-(-4*x^9-3*x^8-x^7-3*x^6-x^5-4*x^4-x^3-3*x^2-x-3)/(x^10-1) ogf_with_Euler_transform] A110731 6.95484 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A110803 10.9638 [2*(1+45*x^8-80*x^9+36*x^10)/(-1+x)/(9*x^10-10*x^9-1) lgdogf] A110803 9.92954 [-(9*x^10-10*x^9-1)/(x-1)^2 ogf] A110807 10.4889 [-2*(11-30*x+100*x^3)/(x-1)/(10*x-1)/(-1+10*x^2) lgdogf] A110807 3.32105 [-(97206318*f(x)-38518621)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2+90*x^3-22*f(x)*x+f(x)-9*x) ogf] A110807 6.86956 [-9*x*(10*x^2-1)/(10*x-1)^2/(x-1)^2 ogf] A110822 18.55 [-x^2-30*x-1+f(x)^2 ogf] A110822 39.8274 [(15+x)/(x^2+1+30*x) lgdogf] A110822 5.04761 [{(n+3)*a(n+3)+(45+30*n)*a(n+2)+n*a(n+1),a(0)=1,a(1)=15,a(2)=-112} ogf] A110824 17.3534 [-x^2-62*x-1+f(x)^2 ogf] A110824 37.1300 [(31+x)/(x^2+1+62*x) lgdogf] A110824 4.72201 [{(n+3)*a(n+3)+(93+62*n)*a(n+2)+n*a(n+1),a(0)=1,a(1)=31,a(2)=-480} ogf] A110826 17.1089 [-x^2-126*x-1+f(x)^2 ogf] A110826 35.4892 [(63+x)/(x^2+1+126*x) lgdogf] A110826 4.67643 [{(n+3)*a(n+3)+(189+126*n)*a(n+2)+n*a(n+1),a(0)=1,a(1)=63,a(2)=-1984} ogf] A110828 16.9749 [-x^2-254*x-1+f(x)^2 ogf] A110828 33.5282 [(127+x)/(x^2+1+254*x) lgdogf] A110828 4.60907 [{(n+3)*a(n+3)+(381+254*n)*a(n+2)+n*a(n+1),a(0)=1,a(1)=127,a(2)=-8064} ogf] A110830 17.5836 [(7+35*x+x^3+21*x^2)/(70*x^2+1+28*x+x^4+28*x^3) lgdogf] A110831 12.8097 [-(x^2-26*x+31)/(x-1)^3 ogf] A110831 23.2878 [-(67-50*x+x^2)/(x-1)/(x^2-26*x+31) lgdogf] A110831 6.7251 [(748*f(x)-170965)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-26*x+31) ogf] A110831 6.95700 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=31,a(1)=67,a(2)=109} ogf] A110832 7.94958 [2*x*(35+x^6+168*x+435*x^2+280*x^3+105*x^4)/(1+140*x^2+448*x^3+870*x^4+448*x^5+140*x^6+x^8) lgdogf] A110834 7.23491 [2*x*(155+8680*x^3+18259*x^2+465*x^4+x^6+5208*x)/(x^2+14*x+1)/(x^6-14*x^5+815*x^4+2492*x^3+815*x^2-14*x+1) lgdogf] A110847 2.87854 [{(2*n^2-59*n+435)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=496} ogf] A110851 5.44508 [{(2*n^2-123*n+1891)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=2016} ogf] A110886 3.31257 [{(-4*n+2)*a(n)+(-n-5)*a(n+1)+(6*n+10)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=8} ogf] A110886 7.36561 [f(x)^2*x-f(x)^2-3*f(x)*x-x^2+3*f(x)+x-2 ogf] A110906 3.79866 [(194721*f(x)-1631504)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+121*x^2-f(x)+34*x+1) ogf] A110906 4.12334 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=1,a(1)=49,a(2)=841} ogf] A110906 6.63860 [-(49+212*x+121*x^4+68*x^3-2322*x^2)/(x-1)/(121*x^2+34*x+1)/(x^2-14*x+1) lgdogf] A110906 7.30956 [-(121*x^2+34*x+1)/(x-1)/(x^2-14*x+1) ogf] A110907 11.1961 [-4*(3+19*x+28*x^2+19*x^3+3*x^4)/(x-1)/(x+1)/(x^2+6*x+1)/(x^2+4*x+1) lgdogf] A110907 5.70892 [(64*f(x)-5351)*(f(x)*x^4-2*f(x)*x^3+x^4+10*x^3+2*f(x)*x+26*x^2-f(x)+10*x+1) ogf] A110907 9.56244 [-(x^2+6*x+1)*(x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A110935 7.86412 [-2*x*(2*x^4-x^3-3*x^2+x+2)/(x^2+x-1)/(x+1)^2/(x-1)^2 ogf] A110935 9.15528 [-(-3-6*x-x^6-10*x^5+2*x^4+12*x^3+4*x^7+6*x^2)/(x-1)/(x+1)/(x^2+x-1)/(2*x^4-x^3-3*x^2+x+2) lgdogf] A110953 10.4518 [-2*(4*x+1)/(2*x+1)/(4*x-1) ogf] A110953 11.1792 [-2*(3+8*x+16*x^2)/(4*x+1)/(2*x+1)/(4*x-1) lgdogf] A110953 12.0618 [1/8*(-1-x+((1+x)*(9*x+1))^(1/2))/(1+x) revogf] A110953 5.16846 [-(43*f(x)+76)*(8*f(x)*x^2+2*f(x)*x-f(x)+8*x+2) ogf] A110953 5.66663 [{a(n+2)-2*a(n+1)-8*a(n),a(0)=2,a(1)=12} ogf] A111053 5.71235 [-f(x)^2*x^4+2*f(x)^2*x^3-5*f(x)^2*x^2-2*f(x)*x^3+f(x)^2*x-2*f(x)*x^2+5*f(x)*x-x^2-f(x)-4*x+1 ogf] A111072 5.55297 [x*(x^12+3*x^11+6*x^10+5*x^8+5*x^6+5*x^4+6*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A111074 11.1664 [-(x^3-3*x+3)/(x+1)^2/(x-1)^3 ogf] A111074 18.8340 [-x*(12-9*x+x^2+2*x^3)/(x-1)/(x+1)/(x^3-3*x+3) lgdogf] A111074 4.40929 [{(n+6)*a(n+1)+(-n-6)*a(n+2)+(-n-4)*a(n+3)+(n+4)*a(n+4),a(0)=3,a(1)=0,a(2)=6,a(3)=1} ogf] A111080 15.7533 [11/(x-1)^4 ogf] A111080 6.40379 [-(f(x)+11)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-11) ogf] A111080 7.43080 [{(-n-2)*a(n+2)+(5+n)*a(n+1),a(0)=11,a(1)=44} ogf] A111085 3.69692 [-(x^8+5*x^7+67*x^6+130*x^5+242*x^4+130*x^3+67*x^2+5*x+1)/(x+1)^2/(x-1)^9 ogf] A111093 5.62972 [x*(9*x^12+5*x^11+6*x^10+5*x^8-5*x^6+5*x^4+4*x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A111097 3.54088 [(x^5-2*x^4+x^3-2*x^2-1)/(x^2+x+1)/(x-1)^3 ogf] A111108 12.9609 [-x*(3*x+5)/(2*x+1)/(x^2+2*x-1) ogf] A111108 13.2711 [-(3+50*x+12*x^3+45*x^2)/(3*x+5)/(2*x+1)/(x^2+2*x-1) lgdogf] A111108 7.30775 [-(3*f(x)+25)*(2*f(x)*x^3+5*f(x)*x^2+3*x^2-f(x)+5*x) ogf] A111108 7.38633 [{a(n+3)-5*a(n+1)-2*a(n),a(0)=0,a(1)=5,a(2)=3} ogf] A111109 6.44577 [-x*(x^6+3*x^5+2*x^4-2*x^3-4*x^2+4*x-1)/(x-1)^2/(x^2+2*x-1)^2 ogf] A111109 7.76082 [-(x+1)*(x^6+12*x^5+3*x^4-24*x^3+22*x^2-10*x+2)/(x-1)/(x^2+2*x-1)/(x^6+3*x^5+2*x^4-2*x^3-4*x^2+4*x-1) lgdogf] A111110 7.48937 [-(2-10*x+x^8+6*x^6-10*x^5+31*x^4-42*x^3-2*x^7+28*x^2)/(x^4-x^3+4*x^2-3*x+1)/(x^5-2*x^4+8*x^3-9*x^2+5*x-1) lgdogf] A111110 8.21326 [-x*(x^4-x^3+4*x^2-3*x+1)/(x^5-2*x^4+8*x^3-9*x^2+5*x-1) ogf] A111112 4.95598 [-480*x^3*(7*x^4+32*x^3+366*x^2+584*x+247)/(x+1)/(x-1)^7 ogf] A111112 7.50561 [-2*(1033+3106*x+14*x^5+101*x^4+1208*x^3+3190*x^2)/(x-1)/(x+1)/(7*x^4+32*x^3+366*x^2+584*x+247) lgdogf] A111139 3.31514 [{(-n-2)*a(n+1)+(-n-2)*a(n+2)+(n+5)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=11} ogf] A111144 10.5908 [x*(26*x^2-60*x+35)/(x-1)^4 ogf] A111144 18.8956 [-4*(20-32*x+13*x^2)/(x-1)/(26*x^2-60*x+35) lgdogf] A111144 3.83284 [{(105+35*n)*a(n+4)+(-270-95*n)*a(n+3)+(214+86*n)*a(n+2)+(-52-26*n)*a(n+1),a(0)=0,a(1)=35,a(2)=80,a(3)=136} ogf] A111144 5.33044 [-(21488*f(x)-14178421)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-26*x^3-4*f(x)*x+60*x^2+f(x)-35*x) ogf] A111165 32.1709 [1/(-x^2-x-1) ogf_with_Euler_transform] A111216 14.1045 [-(x-1)/(x^2-31*x+1) ogf] A111216 14.8249 [-1/2*(-1-31*x+(1+58*x+957*x^2)^(1/2))/(1+x) revogf] A111216 19.9210 [-(30-2*x+x^2)/(x-1)/(x^2-31*x+1) lgdogf] A111216 7.05224 [-(232*f(x)-7)*(f(x)*x^2-31*f(x)*x+f(x)+x-1) ogf] A111216 7.72387 [{a(n+2)-31*a(n+1)+a(n),a(0)=1,a(1)=30} ogf] A111244 6.15210 [(2*x^10-5*x^9+2*x^8+2*x^7-2*x^6+3*x^5-3*x^4+x^3-2*x^2-x-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A111258 5.70323 [x*(297*x^5+7*x^4+297*x^3-1243*x^2-21*x-539)/(x-1)/(x^6-6*x^3+1) ogf] A111262 3.84882 [(167616*f(x)+53527)*(f(x)*x^4-10*f(x)*x^3+23*f(x)*x^2+x^3-10*f(x)*x-14*x^2+f(x)+18*x-3) ogf] A111262 6.32432 [-(12-110*x+361*x^2-352*x^3+171*x^4-28*x^5+x^6)/(x^2-7*x+1)/(x^2-3*x+1)/(x^3-14*x^2+18*x-3) lgdogf] A111262 7.08746 [-(x^3-14*x^2+18*x-3)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A111277 10.5899 [-(2*x-1)^2/(3*x-1)/(x-1)^2 ogf] A111277 12.6560 [-(-2+6*x-9*x^2+9*x^3)/(x-1)/(-1+3*x)/(3*x^2-3*x+1) lgdogf] A111277 5.61725 [-(f(x)-1)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A111277 5.76772 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A111279 10.2227 [-1/2*(-1-5*x+4*x^2+((5*x^2-2*x+1)*(-1+2*x)^2)^(1/2))/(2+x)^2 revogf] A111279 6.24048 [-f(x)^2*x^2-4*f(x)^2*x-2*f(x)*x^2+f(x)^2+13*f(x)*x-x^2-3*f(x)-8*x+2 ogf] A111280 6.16446 [-(-2+4*x+116*x^6+29*x^8-4*x^7-124*x^5+357*x^4-116*x^3-10*x^2)/(x^5-4*x^3+2*x^2-4*x+1)/(29*x^4-2*x^3-2*x+1) lgdogf] A111280 8.54241 [(29*x^4-2*x^3-2*x+1)/(x^5-4*x^3+2*x^2-4*x+1) ogf] A111281 10.8706 [-(2*x^2-x+1)/(2*x^3-2*x^2+3*x-1) ogf] A111281 12.0329 [-2*(1+2*x^4-2*x^3+x^2)/(2*x^2-x+1)/(2*x^3-2*x^2+3*x-1) lgdogf] A111281 5.92061 [{a(n+3)-3*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A111281 6.77839 [-(5*f(x)-4)*(2*f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A111282 12.7001 [(x^2-x+1)/(x^2-3*x+1) ogf] A111282 18.3271 [-2*(x-1)*(1+x)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A111282 6.59906 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A111282 9.48036 [-f(x)*x^2+3*f(x)*x+x^2-f(x)-x+1 ogf] A111283 5.15152 [-(69*f(x)-8)*(f(x)*x^4+3*f(x)*x^2+x^3-5*f(x)*x+x^2+f(x)+3*x-1) ogf] A111283 8.34768 [-(2-8*x+6*x^4+6*x^3+x^6+2*x^5+11*x^2)/(x-1)/(x^3+x^2+3*x-1)/(x^3+x^2+4*x-1) lgdogf] A111283 9.25780 [-(x^3+x^2+3*x-1)/(x-1)/(x^3+x^2+4*x-1) ogf] A111284 12.7803 [-f(x)*x^2+2*f(x)*x+3*x^2-f(x)+1 ogf] A111284 17.4752 [(3*x^2+1)/(x-1)^2 ogf] A111284 8.39493 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A111285 10.8425 [-(x-1)^2/(2*x^3-3*x^2+4*x-1) ogf] A111285 14.4080 [-2*(-1+x+x^3-3*x^2)/(x-1)/(2*x^3-3*x^2+4*x-1) lgdogf] A111285 5.90530 [{-a(n+3)+4*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A111285 5.9585 [(2*f(x)-1)*(2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A111286 17.4132 [-(2*x^2+1)/(2*x-1) ogf] A111286 20.5906 [2*(-2*x-1+2*x^2)/(2*x-1)/(2*x^2+1) lgdogf] A111286 8.49931 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A111286 9.51922 [-(f(x)-1)*(2*f(x)*x+2*x^2-f(x)+1) ogf] A111297 11.4842 [-(x^3-x^2+2*x-1)/(2*x-1)^2 ogf] A111297 15.9720 [(2-2*x+2*x^3-3*x^2)/(2*x-1)/(x^3-x^2+2*x-1) lgdogf] A111297 6.09160 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=11} ogf] A111297 6.86797 [(5*f(x)+28)*(4*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A111314 14.3074 [(2*x^2-x+1)/(x-1)/(x^2+x-1) ogf] A111314 8.06694 [(5*f(x)+19)*(f(x)*x^3-2*f(x)*x-2*x^2+f(x)+x-1) ogf] A111314 8.06695 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A111317 28.2841 [-1/(-x^2-x-1) ogf_with_Euler_transform] A111330 32.5436 [-1/(x^2+1) ogf_with_Euler_transform] A111335 32.2557 [-1/(-x^2-1) ogf_with_Euler_transform] A111352 11.1185 [(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A111352 12.6640 [-(1-6*x+4*x^3+3*x^2)/(2*x-1)/(x+1)/(x^2+2*x-1) lgdogf] A111352 5.26141 [{a(n+3)-a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A111352 5.61216 [(31*f(x)+25)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)-2*x+1) ogf] A111365 13.5319 [(4*x-1)/(3*x^2+5*x-1) ogf] A111365 14.2041 [1/2/(-4+3*x)*(-5*x-1+(37*x^2-6*x+1)^(1/2)) revogf] A111365 15.2967 [-(-1-6*x+12*x^2)/(-1+4*x)/(3*x^2+5*x-1) lgdogf] A111365 6.99926 [(67*f(x)-66)*(3*f(x)*x^2+5*f(x)*x-f(x)-4*x+1) ogf] A111365 7.42604 [{-a(n+2)+5*a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A111374 18.9888 [-(-x^2+1)/(-x^4-1) ogf_with_Euler_transform] A111375 9.44154 [-(x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A111376 9.36915 [-(-x^4-2*x^3-x^2-2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A111384 22.9185 [-2*(2+5*x+5*x^2)/(x-1)/(2*x+1)/(1+x) lgdogf] A111384 4.63105 [{(n^2+3*n)*a(n+1)+(-2+2*n)*a(n+2)+(-n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=4} ogf] A111384 9.75245 [x^3*(2*x+1)/(x+1)^2/(x-1)^4 ogf] A111385 16.7804 [-(5+20*x+18*x^3+27*x^2)/(x-1)/(x+1)/(3*x^2+3*x+1) lgdogf] A111385 8.14098 [-x^4*(3*x^2+3*x+1)/(x+1)^3/(x-1)^5 ogf] A111386 10.807 [(10*f(x)-1)*(5*f(x)*x^2-f(x)+3*x+1) ogf] A111386 11.4824 [{a(n+2)-5*a(n),a(0)=1,a(1)=3} ogf] A111386 17.5887 [1/2/(3+5*x)*(-1+((1+2*x)*(10*x+1))^(1/2)) revogf] A111386 17.9238 [-(3*x+1)/(5*x^2-1) ogf] A111386 21.2099 [-(3+10*x+15*x^2)/(3*x+1)/(5*x^2-1) lgdogf] A111394 26.4986 [1/3*x*(3+6*x+2*x^2)/(x+1)^3 revegf] A111394 6.27277 [-81*f(x)^3*x^4+108*f(x)^3*x^3-48*x*f(x)^3+16*f(x)^3-18*f(x)*x-15*f(x)-1 egf] A111396 11.0139 [x*(7*x^2-18*x+12)/(x-1)^4 ogf] A111396 20.3656 [-2*(15-20*x+7*x^2)/(x-1)/(7*x^2-18*x+12) lgdogf] A111396 4.02949 [{(36+12*n)*a(n+4)+(-30*n-90)*a(n+3)+(65+25*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=12,a(2)=30,a(3)=55} ogf] A111396 5.73643 [-(101*f(x)-6357)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+18*x^2+f(x)-12*x) ogf] A111400 4.64810 [-x*(x^6-8*x^5+110*x^4+90*x^3+80*x^2+4*x+3)/(x-1)^9 ogf] A111400 7.65697 [-(31+192*x+3*x^6-26*x^5+510*x^4+980*x^3+830*x^2)/(x-1)/(x^6-8*x^5+110*x^4+90*x^3+80*x^2+4*x+3) lgdogf] A111424 4.38230 [{(-4*n-14)*a(n+1)+(4*n+15)*a(n+2)-a(n+3),a(0)=2,a(1)=14,a(2)=134} ogf] A111453 6.55548 [(3*x^11+4*x^10-6*x^9+4*x^8+4*x^7-9*x^6+4*x^5+4*x^4-6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A111466 11.7248 [-(x^3+2*x^2+1)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A111466 9.58023 [-x*(4+8*x^3+15*x+3*x^7+8*x^6+6*x^4)/(x^2+x-1)/(x^3+2*x^2+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A111500 12.9747 [-2*(5+16*x+x^4+6*x^3+20*x^2)/(x-1)/(1+x)/(x^3+3*x^2+7*x+1) lgdogf] A111500 9.67396 [(x^3+3*x^2+7*x+1)/(x+1)/(x-1)^4 ogf] A111566 13.6303 [(2*x+1)/(2*x^2-4*x+1) ogf] A111566 15.0163 [-1/4*(-1-4*x+(1+16*x+8*x^2)^(1/2))/(x-1) revogf] A111566 15.4013 [-2*(-3+2*x+2*x^2)/(2*x+1)/(2*x^2-4*x+1) lgdogf] A111566 7.21605 [(5*f(x)+4)*(2*f(x)*x^2-4*f(x)*x+f(x)-2*x-1) ogf] A111566 7.48005 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A111567 13.4184 [(x+1)/(2*x^2-4*x+1) ogf] A111567 13.7469 [-1/2*(-1-4*x+(1+12*x+8*x^2)^(1/2))/(-1+2*x) revogf] A111567 16.8891 [-(-5+4*x+2*x^2)/(x+1)/(2*x^2-4*x+1) lgdogf] A111567 7.02128 [(16*f(x)+9)*(2*f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A111567 7.36378 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=5} ogf] A111569 12.6390 [-(x^2+2*x-1)/(x^2+1)/(x^2+x-1) ogf] A111569 6.82279 [(23*f(x)+19)*(f(x)*x^4+f(x)*x^3+f(x)*x+x^2-f(x)+2*x-1) ogf] A111570 5.40413 [(1117*f(x)+2843)*(f(x)*x^4+f(x)*x^3+x^3+f(x)*x-x^2-f(x)+3*x+2) ogf] A111570 9.18465 [-(5-2*x+x^6+10*x^2+12*x^3+8*x^4-2*x^5)/(1+x^2)/(x^2+x-1)/(x^3-x^2+3*x+2) lgdogf] A111570 9.79009 [-(x^3-x^2+3*x+2)/(x^2+1)/(x^2+x-1) ogf] A111571 12.1668 [(3*x^2-1)/(x^2+1)/(x^2+x-1) ogf] A111571 13.1491 [-(-1+6*x+6*x^5+3*x^4-4*x^3-6*x^2)/(x^2+1)/(-1+3*x^2)/(x^2+x-1) lgdogf] A111571 6.24783 [-(f(x)+4)*(f(x)*x^4+f(x)*x^3+f(x)*x-3*x^2-f(x)+1) ogf] A111572 12.3923 [-(-3+2*x+2*x^5-11*x^4-4*x^3+2*x^2)/(x^2+1)/(x^2-4*x+1)/(x^2+x-1) lgdogf] A111572 13.1832 [(x^2-4*x+1)/(x^2+1)/(x^2+x-1) ogf] A111572 6.99283 [(103*f(x)+288)*(f(x)*x^4+f(x)*x^3+f(x)*x-x^2-f(x)+4*x-1) ogf] A111573 12.8273 [-x*(2*x+1)/(x^2+1)/(x^2+x-1) ogf] A111573 15.0051 [-(3+6*x^4+8*x^3+3*x^2)/(2*x+1)/(x^2+1)/(x^2+x-1) lgdogf] A111573 6.58698 [(670*f(x)-781)*(f(x)*x^4+f(x)*x^3+f(x)*x+2*x^2-f(x)+x) ogf] A111574 12.9413 [-(3*x^2-2*x+1)/(x^2+1)/(x^2+x-1) ogf] A111574 14.6859 [-(-1+6*x-3*x^4+6*x^5)/(x^2+1)/(3*x^2-2*x+1)/(x^2+x-1) lgdogf] A111574 6.69 [-(73*f(x)-214)*(f(x)*x^4+f(x)*x^3+f(x)*x+3*x^2-f(x)-2*x+1) ogf] A111575 10.1483 [-f(x)*(3*f(x)*x^4+x^3+x^2-f(x)+x+1) ogf] A111575 12.2836 [-(1+2*x+3*x^6+6*x^5+3*x^2+12*x^3+9*x^4)/(x+1)/(x^2+1)/(-1+3*x^4) lgdogf] A111575 14.0652 [-(x+1)*(x^2+1)/(3*x^4-1) ogf] A111575 9.11040 [{a(n+4)-3*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A111580 8.97494 [-(-4*x^9-2*x^8-3*x^7-2*x^6-3*x^5-3*x^3-2*x^2-3*x-2)/(x^10-1) ogf_with_Euler_transform] A111586 6.87930 [x*(x^9+x^7-x^6-3*x^5-3*x^4-2*x^3-x^2-x-1)/(x+1)/(x^3+2*x-1) ogf] A111587 11.3715 [-(x+1)^2/(x^2+1)/(x^2+2*x-1) ogf] A111587 13.6039 [-2*(2-x+3*x^2+3*x^3+x^4)/(x+1)/(x^2+1)/(x^2+2*x-1) lgdogf] A111587 5.8785 [-(697*f(x)-44)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A111597 4.99066 [{(-n^2-17*n-72)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=56} ogf] A111598 4.49772 [{(-n^2-19*n-90)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=72} ogf] A111599 4.62236 [{(-n^2-21*n-110)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=90} ogf] A111600 4.74487 [{(-n^2-23*n-132)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=110} ogf] A111601 13.7661 [-(2+7*x+4*x^2+2*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdegf] A111601 3.49207 [{(n^3+10*n^2+33*n+36)*a(n+1)+(4+n)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A111602 3.09320 [{(-n^3-13*n^2-56*n-80)*a(n+1)+(-10-2*n)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=6,a(2)=42} ogf] A111602 6.71917 [-3*(4+20*x+2*x^5+33*x^3+12*x^4+34*x^2)/(x-1)/(x+1)/(2*x^4+8*x^3+15*x^2+8*x+2) lgdegf] A111607 5.81096 [(x^14+x^13+3*x^12+3*x^11+5*x^10+6*x^9+7*x^8+2*x^7+7*x^6+3*x^5+5*x^4+3*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A111639 4.82831 [-(3273*f(x)-523)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2+2*x^3-6*f(x)*x+3*x^2-f(x)-8*x-3) ogf] A111639 8.84222 [-2*(5+27*x+x^6+3*x^5-x^4-10*x^3+35*x^2)/(x^2+4*x+1)/(x^2-2*x-1)/(2*x^3+3*x^2-8*x-3) lgdogf] A111639 9.15500 [-(2*x^3+3*x^2-8*x-3)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111640 10.9629 [-(x-1)*(x^5-x^4-4*x^3+27*x+9)/(x^2-2*x-1)/(x^3-x^2-3*x+1)/(x^2+4*x+1) lgdogf] A111640 4.93706 [-(15748*f(x)+1505)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2+x^3-6*f(x)*x-x^2-f(x)-3*x+1) ogf] A111640 9.48943 [-(x^3-x^2-3*x+1)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111641 4.87241 [-(3188*f(x)-227)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2+x^3-6*f(x)*x+3*x^2-f(x)+x+1) ogf] A111641 9.10029 [-(-5-10*x+x^6+6*x^5+17*x^4+20*x^3+19*x^2)/(x^2+4*x+1)/(x^2-2*x-1)/(x^3+3*x^2+x+1) lgdogf] A111641 9.23860 [-(x^3+3*x^2+x+1)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111642 11.3404 [2*(x-1)*(x+1)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111642 12.7146 [-2*(3+9*x+x^5-2*x^3+x^4)/(x-1)/(x+1)/(x^2+4*x+1)/(x^2-2*x-1) lgdogf] A111642 5.67017 [(2751*f(x)+572)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2-6*f(x)*x-2*x^2-f(x)+2) ogf] A111643 10.4497 [2*(x+1)^2/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111643 5.26298 [-(1057*f(x)+92)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2-6*f(x)*x-2*x^2-f(x)-4*x-2) ogf] A111644 11.0928 [-(x^2+1)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111644 5.38081 [-(3866*f(x)-511)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2-6*f(x)*x+x^2-f(x)+1) ogf] A111645 10.4497 [-(x+1)*(3*x-1)/(x^2+4*x+1)/(x^2-2*x-1) ogf] A111645 5.22484 [(301941*f(x)-73042)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2-6*f(x)*x+3*x^2-f(x)+2*x-1) ogf] A111647 4.91203 [(3*x^3-17*x^2-99*x+1)/(x^2-6*x+1)/(x^2-198*x+1) ogf] A111648 3.48438 [(32482890*f(x)-8892713)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+11*x^2-f(x)-22*x+3) ogf] A111648 3.77967 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=3,a(1)=83,a(2)=2811} ogf] A111648 6.40360 [-(83-188*x+11*x^4-44*x^3+394*x^2)/(x-1)/(11*x^2-22*x+3)/(x^2-34*x+1) lgdogf] A111648 6.86155 [-(11*x^2-22*x+3)/(x-1)/(x^2-34*x+1) ogf] A111649 5.07096 [-(20*x^6-700*x^5+700*x^4-20*x^3-x^2-34*x+3)/(x-1)/(x^2-34*x+1) ogf] A111650 24.5042 [-(2+x)/(-x-1) ogf_with_Euler_transform] A111651 18.6652 [-(-x^3-x^2-1)/(x^3+1) ogf_with_Euler_transform] A111652 24.1131 [-(2+x)/(-x-1) ogf_with_Euler_transform] A111660 4.61797 [-x^2*(x^29-x^28+x^27-x^26-x^24-x^22-x^20-x^18-x^16-x^14-x^12-x^10-x^8-x^6-x^4-x^2-1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A111661 12.5828 [-(6*x^5+4*x^4+5*x^3+5*x+4)/(-x^6+1) ogf_with_Euler_transform] A111662 7.57239 [-x^2*(x-1)*(x^2+x+1)*(x^6+x^3+1)/(2*x-1)/(2*x^9-x^6+x^3-1) ogf] A111663 6.57183 [-(x^9+x^6+x^3-1)/(2*x-1)/(x-1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1) ogf] A111665 6.34675 [-2*(-1+3*x+x^2+5*x^9-3*x^8-5*x^7-5*x^6-2*x^5-12*x^4-x^3)/(x-1)/(x+1)/(x^2+1)/(5*x^4+3*x^3+2*x^2+x-1)/(x^2-3*x+1) lgdogf] A111665 7.79110 [(5*x^4+3*x^3+2*x^2+x-1)/(x-1)/(x+1)/(x^2+1)/(x^2-3*x+1) ogf] A111666 6.63458 [-(5*x^5-3*x^4-4*x^3-3*x^2-3*x+2)/(x-1)/(x+1)/(x^2+1)/(x^2-3*x+1) ogf] A111694 10.4794 [x*(x-2)*(x-4)/(x-1)^4 ogf] A111694 22.8441 [-2*(13-8*x+x^2)/(x-1)/(x-2)/(x-4) lgdogf] A111694 3.80595 [{(-24-8*n)*a(n+4)+(54+14*n)*a(n+3)+(-23-7*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=8,a(2)=26,a(3)=57} ogf] A111694 5.2397 [-(25488*f(x)+311021)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+6*x^2+f(x)-8*x) ogf] A111698 5.83182 [(x^16-x^15+x^13-x^12+2*x^10-2*x^9+2*x^7-2*x^6+x^5+x^4-8*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A111706 7.29698 [(11*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A111708 12.8837 [-9*(100*x^11-110*x^10-1)/(x-1)^2 ogf] A111708 13.4976 [2*(1+450*x^11-990*x^10+550*x^9)/(x-1)/(100*x^11-110*x^10-1) lgdogf] A111709 8.89178 [(x^8-x^7+x^5-x+1)*(x^4+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A111710 10.7248 [-(x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A111710 17.6088 [-(4+10*x+3*x^3+13*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A111711 13.3684 [-(2+8*x+x^5+3*x^4+8*x^3+8*x^2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A111711 28.0651 [[-x^4+2*x+2] ogf_with_Euler_transform] A111711 8.79470 [-(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A111712 16.1211 [-(x^2+x+1)*(x^3+6*x+3)/(x-1)/(1+x)/(x^4+x^2+2*x+1) lgdogf] A111712 9.66892 [-(x^4+x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A111721 14.1988 [(5*x^2-x+1)/(x-1)/(x^2+x-1) ogf] A111721 7.83895 [(11*f(x)+181)*(f(x)*x^3-2*f(x)*x-5*x^2+f(x)+x-1) ogf] A111721 8.00573 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A111733 13.2024 [-(-1-14*x+7*x^4-2*x^3+17*x^2)/(x-1)/(7*x^2-x+1)/(x^2+x-1) lgdogf] A111733 14.4693 [(7*x^2-x+1)/(x-1)/(x^2+x-1) ogf] A111733 7.98826 [(15*f(x)+449)*(f(x)*x^3-2*f(x)*x-7*x^2+f(x)+x-1) ogf] A111733 8.15822 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=9} ogf] A111734 12.7003 [-(1+2*x+7*x^2+2*x^6+4*x^3-x^4)/(x-1)/(x^2+x+1)/(x^2-x-1)/(2*x^2+2*x+1) lgdogf] A111734 13.6065 [-(x-1)*(2*x^2+2*x+1)/(x^2+x+1)/(x^2-x-1) ogf] A111734 7.094 [-(15*f(x)-56)*(f(x)*x^4-f(x)*x^2+2*x^3-2*f(x)*x-f(x)-x-1) ogf] A111746 16.0395 [-(17+33*x+3*x^3+11*x^2)/(x-1)/(x+1)/(x^2+2*x+5) lgdogf] A111746 9.44438 [x*(x^2+2*x+5)/(x+1)/(x-1)^4 ogf] A111766 12.4869 [-x*(x-5)/(x+1)/(x^2-6*x+1) ogf] A111766 6.35496 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=24} ogf] A111766 7.18947 [f(x)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+x^2+f(x)-5*x) ogf] A111777 2.97975 [{(n^3+16*n^2+85*n+150)*a(n+1)+(18+3*n)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=12,a(2)=130} ogf] A111778 3.18938 [{(n^3+19*n^2+120*n+252)*a(n+1)+(28+4*n)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=20,a(2)=315} ogf] A111779 2.96271 [{(n^3+22*n^2+161*n+392)*a(n+1)+(40+5*n)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=30,a(2)=651} ogf] A111780 3.11916 [{(n^3+25*n^2+208*n+576)*a(n+1)+(54+6*n)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=42,a(2)=1204} ogf] A111781 3.26094 [{(n^3+28*n^2+261*n+810)*a(n+1)+(70+7*n)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=56,a(2)=2052} ogf] A111782 2.95285 [{(-n^3-31*n^2-320*n-1100)*a(n+1)+(-88-8*n)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=72,a(2)=3285} ogf] A111783 3.01233 [{(-n^3-34*n^2-385*n-1452)*a(n+1)+(-108-9*n)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=90,a(2)=5005} ogf] A111784 3.09921 [{(-n^3-37*n^2-456*n-1872)*a(n+1)+(-130-10*n)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=110,a(2)=7326} ogf] A111802 10.8764 [-(2*x^5-7*x^4+7*x^3-x+1)/(x-1)^3 ogf] A111802 12.6423 [(-2+2*x-17*x^4+28*x^3-21*x^2+4*x^5)/(x-1)/(2*x^5-7*x^4+7*x^3-x+1) lgdogf] A111882 23.7392 [1+x^2+(-1-x+x^2+x^3)*f(x) lgdegf] A111883 17.9821 [1+2*x-x^2+(x^2-1+x-x^3)*f(x) lgdegf] A111883 3.59631 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^2-7*n-12)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=16} ogf] A111884 21.6284 [-1+(2*x+x^2)*f(x)+(1+2*x+x^2)*f(x)^2 lgdegf] A111884 6.43690 [{(n^2+n)*a(n)+(2*n+1)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A111889 7.37133 [-x*(2*x^7+7*x^6+6*x^5+8*x^4+4*x^3+3*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A111903 25.3222 [-4*(x-3)/(x^2+1-6*x) lgdogf] A111903 3.41243 [{(n+2)*a(n+3)+(-18-6*n)*a(n+2)+(4+n)*a(n+1),a(0)=0,a(1)=4,a(2)=48} ogf] A111903 3.90361 [-(136323*f(x)-9499)*(f(x)*x^4-12*f(x)*x^3+38*f(x)*x^2-12*f(x)*x+f(x)-4*x) ogf] A111903 9.20138 [4*x/(x^2-6*x+1)^2 ogf] A111911 3.72801 [{(-128*n^3-704*n^2-1272*n-756)*a(n+1)+(2*n^3+17*n^2+48*n+45)*a(n+2),a(0)=1,a(1)=5} ogf] A111912 5.48191 [x*(x^8+x^7+2*x^5-x^2-3*x-2)/(x-1)/(x+1)/(x^8-x^4+1) ogf] A111913 8.28931 [x*(x^8+x^7+2*x^4-x^2-3*x-2)/(x-1)/(x+1)/(x^8-x^4+1) ogf] A111914 8.01386 [-x^2*(x^4-2*x^3+x^2-2*x+1)*(x+1)^2/(x-1)/(x^8-x^4+1) ogf] A111914 9.77789 [-(1-5*x^11-4*x^9-3*x^7-5*x+14*x^8-x^6+3*x^13-5*x^12+x^2+x^10-x^3+2*x^4)/(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x+1)/(x^8-x^4+1) lgdogf] A111915 9.57254 [-x^2*(x-1)*(x^2+x+1)*(x^2-x+1)/(x^8-x^4+1) ogf] A111915 9.69509 [-(-1+2*x+2*x^5-x^6-8*x^7+8*x^8-4*x^11-3*x^2+8*x^3-8*x^4-6*x^9+5*x^10+3*x^12)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^8-x^4+1) lgdogf] A111926 12.1928 [-x^4/(2*x-1)/(x^2-x+1)/(x-1)^2 ogf] A111926 14.9870 [-(-5+15*x+10*x^3-18*x^2)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A111926 6.04519 [2*f(x)*x^5-7*f(x)*x^4+11*f(x)*x^3+x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A111927 15.3809 [-(-4+12*x+8*x^3-15*x^2)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A111927 15.7451 [x^3/(2*x-1)/(x-1)/(x^2-x+1) ogf] A111927 7.79304 [-2*f(x)*x^4+5*f(x)*x^3-6*f(x)*x^2+x^3+4*f(x)*x-f(x) ogf] A111932 18.2703 [-(4*x^2-2*x+2)/(-x^3-1) ogf_with_Euler_transform] A111938 99.9999 Evaluated at exp(-Pi) 1/8*exp(Pi)/Pi^(1/2)/GAMMA(3/4)^2 A111942 3.37463 [{(-n^3-n^2)*a(n)+(2*n^3+10*n^2+18*n+8)*a(n+1)-8*a(n+2)+(-16-8*n)*a(n+3),a(0)=0,a(1)=1,a(2)=-1} ogf] A111949 4.51466 [-(-2*x^19-x^18-2*x^17-x^16-x^15-2*x^13-x^12-x^11-x^10-2*x^9-x^8-x^7-x^6-2*x^5-x^3-x^2-2*x-1)/(x^20-1) ogf_with_Euler_transform] A111951 6.90712 [-x*(3*x^4-2*x^3+4*x^2-2*x+3)/(x^4+1)/(x^2+1)/(x-1) ogf] A111951 7.99808 [-(1+2*x+9*x^10-32*x^7+29*x^8+x^2+14*x^4-28*x^5+42*x^6-14*x^9)/(x-1)/(x^2+1)/(3*x^4-2*x^3+4*x^2-2*x+3)/(x^4+1) lgdogf] A111952 5.60566 [-(6+4*x+21*x^6+36*x^7+20*x^4+4*x^3+10*x^8+3*x^10+20*x^9+15*x^2+8*x^11)/(x-1)/(4*x^5+x^4+5*x^3+2*x^2+6*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A111952 9.93465 [-x*(4*x^5+x^4+5*x^3+2*x^2+6*x+3)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A111954 13.8655 [(x-1)/(x+1)/(x^2+2*x-1) ogf] A111954 19.5830 [-2*x*(-3+x^2)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A111954 6.62049 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A111954 6.86797 [(394*f(x)+335)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)-x+1) ogf] A111955 12.3517 [-x*(3*x+1)/(x+1)/(x^2+2*x-1) ogf] A111955 14.4551 [-2*(2+3*x+3*x^3+6*x^2)/(3*x+1)/(x+1)/(x^2+2*x-1) lgdogf] A111955 6.34277 [(314*f(x)+261)*(f(x)*x^3+3*f(x)*x^2+f(x)*x+3*x^2-f(x)+x) ogf] A111955 6.34277 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A111958 5.38746 [-(7*x^10-4*x^9+8*x^8-x^7+6*x^6-4*x^5+7*x^4+4*x^2-x+2)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A111961 15.8832 [(-x+(5*x^2+2*x+1)^(1/2))/(1+2*x+4*x^2)*x revogf] A111961 7.74792 [(1+2*x-12*x^3-11*x^2+(-(x+1)*(-1+3*x)*(x-1)^2)^(1/2))/(x+1)/(-1+3*x)/(4*x^2+2*x-1) lgdogf] A111961 8.00446 [4*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+2*f(x)*x+1 ogf] A111962 6.52509 [-f(x)^2*x^4-3*f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x^2+f(x)^2-1 ogf] A111964 7.25164 [-f(x)^2*x^4+2*f(x)^2*x^3+3*f(x)^2*x^2-2*f(x)*x^2+f(x)^2+2*f(x)*x-1 ogf] A111966 13.5584 [-(-3*x+(5*x^2+2*x+1)^(1/2))/(-1-2*x+4*x^2)*x revogf] A111966 7.27525 [(3-22*x+39*x^2-20*x^3+((5*x-1)*(x-1)*(3*x-1)^2)^(1/2))/(5*x-1)/(x-1)/(4*x^2-6*x+1) lgdogf] A111966 7.51772 [-4*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+2*f(x)*x+1 ogf] A111972 19.0721 [(-1+3*x^4+27*x^28-28*x^27-4*x^3)/(x-1)/(1+x^4+x^28) lgdogf] A111972 19.7328 [-x*(x^28+x^4+1)/(x-1) ogf] A111989 17.9903 [1/(8*x^3-6*x+1) ogf] A111989 18.1720 [-6*(2*x-1)*(2*x+1)/(1-6*x+8*x^3) lgdogf] A111989 6.24927 [{-a(n+3)+6*a(n+2)-8*a(n),a(0)=1,a(1)=6,a(2)=36} ogf] A111989 6.98449 [-(f(x)-1)*(8*f(x)*x^3-6*f(x)*x+f(x)-1) ogf] A111990 10.2268 [1/(8*x^3-6*x+1)^2 ogf] A111990 17.0933 [-12*(-1+2*x)*(2*x+1)/(1-6*x+8*x^3) lgdogf] A111990 3.50979 [{(-n-4)*a(n+4)+(30+6*n)*a(n+3)+(-56-8*n)*a(n+1),a(0)=1,a(1)=12,a(2)=108,a(3)=848} ogf] A111991 16.9528 [-18*(2*x-1)*(2*x+1)/(1-6*x+8*x^3) lgdogf] A111991 3.36012 [{(-n-4)*a(n+4)+(36+6*n)*a(n+3)+(-80-8*n)*a(n+1),a(0)=1,a(1)=18,a(2)=216,a(3)=2136} ogf] A111991 6.14216 [1/(8*x^3-6*x+1)^3 ogf] A111993 11.4804 [-5/2*(x-1+(x^2+1-6*x)^(1/2))/(x^2+1-6*x)^(1/2)/x lgdogf] A111994 12.7316 [-36+(6-36*x+6*x^2)*f(x)+(x^3+x-6*x^2)*f(x)^2 lgdogf] A111995 11.7431 [-7/2*(-1+x+(x^2-6*x+1)^(1/2))/(x^2-6*x+1)^(1/2)/x lgdogf] A111996 12.7076 [-4*(x-1+(x^2+1-6*x)^(1/2))/(x^2+1-6*x)^(1/2)/x lgdogf] A111997 12.3684 [-9/2*(x-1+(x^2-6*x+1)^(1/2))/x/(x^2-6*x+1)^(1/2) lgdogf] A111998 11.6642 [-100+(10-60*x+10*x^2)*f(x)+(x^3+x-6*x^2)*f(x)^2 lgdogf] A112000 11.3825 [-5*(-26+138*x+2*x^3-81*x^2)/(2*x+1)/(2*x^3-57*x^2+64*x-6) lgdegf] A112000 3.56539 [{(2*n^2+15*n+28)*a(n+1)+(-12*n^2-125*n-332)*a(n+2)+(-6*n-18)*a(n+3),a(0)=-3,a(1)=65,a(2)=-1190} ogf] A112001 7.57390 [-21*(66-766*x+10*x^4-535*x^3+1509*x^2)/(2*x+1)/(30*x^4-1235*x^3+2544*x^2-846*x+36) lgdegf] A112002 6.02142 [-(13068+53296*x+8*x^5+1031*x^4+14976*x^3+52756*x^2)/(x-1)/(x^5+114*x^4+1452*x^3+4400*x^2+3708*x+720) lgdogf] A112014 2.18261 [-(f(x)*x^2-2*f(x)*x+f(x)-x)^2 ogf] A112014 3.56272 [1+(1452*x^8+1)^(1/2) ogf_with_Euler_transform] A112027 10.7145 [-(6*x^7-3*x^4-3*x^3-x^2-2*x-1)/(x-1)/(x+1)/(x^2+1)/(3*x^4-1) ogf] A112030 10.8237 [{a(n+2)+a(n),a(0)=3,a(1)=1} ogf] A112030 15.3937 [f(x)*x^2+f(x)-x-3 ogf] A112030 16.8955 [(x+3)/(x^2+1) ogf] A112030 24.0241 [-1/2*(-3+(9+4*x-4*x^2)^(1/2))/(x-1) revogf] A112030 31.1424 [-(-1+6*x+x^2)/(x+3)/(1+x^2) lgdogf] A112031 13.6591 [-(2*x^2+x+3)/(x^2+1)/(2*x^2-1) ogf] A112031 7.7086 [-(107*f(x)-185)*(2*f(x)*x^4+f(x)*x^2+2*x^2-f(x)+x+3) ogf] A112032 10.7458 [(264*f(x)-1055)*(2*f(x)*x^2-f(x)+x+4) ogf] A112032 12.0890 [{-a(n+2)+2*a(n),a(0)=4,a(1)=1} ogf] A112032 18.8707 [-(x+4)/(2*x^2-1) ogf] A112033 11.7477 [{-a(n+2)+2*a(n),a(0)=12,a(1)=3} ogf] A112033 16.6 [-2*f(x)*x^2+f(x)-3*x-12 ogf] A112033 18.1809 [-3*(x+4)/(2*x^2-1) ogf] A112033 22.6922 [(-6+(36+2*x^2+3*x)^(1/2))/(2*x+3) revogf] A112033 24.1562 [-(1+16*x+2*x^2)/(x+4)/(2*x^2-1) lgdogf] A112062 10.9537 [(4*x^4+x^3+3*x^2+x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A112062 9.29277 [-2*(2+5*x+3*x^6+7*x^5+5*x^2+18*x^3+6*x^4+2*x^7)/(x-1)/(x+1)/(x^2+1)/(4*x^4+x^3+3*x^2+x+3) lgdogf] A112063 7.52857 [-2*(6+29*x+6*x^7+19*x^6+43*x^5+79*x^4+107*x^3+71*x^2)/(x-1)/(x+1)/(12*x^4+13*x^3+12*x^2+12*x+11)/(x^2+x+1) lgdogf] A112063 9.46406 [(12*x^4+13*x^3+12*x^2+12*x+11)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A112072 10.6689 [(7*x^4+2*x^3+6*x^2+2*x+7)/(x^2+1)/(x+1)/(x-1)^2 ogf] A112072 8.39035 [-(9+21*x+7*x^7+11*x^6+27*x^5+23*x^4+73*x^3+21*x^2)/(x-1)/(x+1)/(x^2+1)/(7*x^4+2*x^3+6*x^2+2*x+7) lgdogf] A112073 7.07729 [-(25+119*x+23*x^7+73*x^6+168*x^5+314*x^4+430*x^3+288*x^2)/(x-1)/(x+1)/(x^2+x+1)/(23*x^4+25*x^3+24*x^2+25*x+23) lgdogf] A112073 9.23523 [(23*x^4+25*x^3+24*x^2+25*x+23)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A112087 14.1727 [-4*(x^2+1)/(x-1)^3 ogf] A112087 27.6967 [[-x^3+x+3] ogf_with_Euler_transform] A112087 30.4819 [-(3+2*x+x^2)/(x-1)/(1+x^2) lgdogf] A112087 7.08634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=12,a(2)=28} ogf] A112087 7.48003 [(9*f(x)-16)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+4) ogf] A112091 10.4354 [-(2*x-1)^2/(x-1)/(5*x^2-5*x+1) ogf] A112091 12.1946 [-(-2+8*x+10*x^3-15*x^2)/(-1+x)/(2*x-1)/(5*x^2-5*x+1) lgdogf] A112091 5.72561 [(10*f(x)-7)*(5*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A112091 5.72562 [{a(n+3)-6*a(n+2)+10*a(n+1)-5*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A112128 4.31626 [(52*x^20-125*x^16-98*x^12-42*x^8-100*x^4-49)/(52*x^20-42*x^17-125*x^16-48*x^13-98*x^12-174*x^9-42*x^8-4*x^5-100*x^4-98*x-49) ogf] A112132 10.0338 [-(3+2*x+7*x^6+2*x^5+9*x^4+4*x^3+21*x^2)/(x-1)/(x+1)/(x^2+1)/(7*x^3+x^2+3*x+1) lgdogf] A112132 13.8678 [-(7*x^3+x^2+3*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A112132 9.19146 [(10*f(x)+629)*(f(x)*x^4+7*x^3+x^2-f(x)+3*x+1) ogf] A112133 12.5488 [-(23*x^3+24*x^2+12*x+1)/(x-1)/(x+1)/(x^2+x+1) ogf] A112133 7.22809 [(38*f(x)+531)*(f(x)*x^4+f(x)*x^3+23*x^3-f(x)*x+24*x^2-f(x)+12*x+1) ogf] A112133 9.84597 [-(11+48*x+48*x^5+60*x^4+74*x^3+23*x^6+96*x^2)/(x-1)/(x+1)/(x^2+x+1)/(23*x^3+24*x^2+12*x+1) lgdogf] A112142 12.3594 [-(-12*x^2+12*x-12)/(-x^4+1) ogf_with_Euler_transform] A112142 99.9999 Evaluated at exp(-Pi) 8*exp(-1/2*Pi) A112143 16.6914 [-(4*x^2+4*x+4)/(-x^4+1) ogf_with_Euler_transform] A112143 99.9999 Evaluated at exp(-Pi) 4*exp(-1/2*Pi) A112150 16.1386 [-(-6*x^2+6*x-6)/(-x^4+1) ogf_with_Euler_transform] A112150 99.9999 Evaluated at exp(-Pi) 2*exp(-1/4*Pi)*2^(1/2) A112157 19.9389 [-(-2*x-2)/(x^3-1) ogf_with_Euler_transform] A112158 99.9999 Evaluated at exp(-Pi) 64/125*exp(-Pi)*2^(4/5)*5^(1/2)/GAMMA(4/5)^8*GAMMA(9/10)^4*GAMMA(7/10)^4*(5+5^(1/2))^4*(1/4*5^(1/2)-1/4)^4*(1/4*5^(1/2)+1/4)^4 A112160 14.9061 [-(-4*x^2+4*x-4)/(-x^4+1) ogf_with_Euler_transform] A112160 99.9999 Evaluated at exp(-Pi) 2*exp(-1/6*Pi) A112161 14.7847 [-(-x^4-2*x^3-2*x-1)/(x^6-1) ogf_with_Euler_transform] A112162 99.9999 Evaluated at exp(-Pi) 3/2*GAMMA(2/3)^2*GAMMA(7/12)^2*(2+3^(1/2))*exp(-1/2*Pi)/Pi/GAMMA(3/4)^2 A112165 8.26490 [-(x^7-2*x^6+2*x^5+x^4-x^3-2*x^2+2*x-1)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A112173 99.9999 Evaluated at exp(-Pi) exp(-1/3*Pi)*2^(1/3)*(2^(1/2)*(1+3^(1/2)))^(2/3) A112175 16.0413 [-(x^4+2*x^2+1)/(-x^6+1) ogf_with_Euler_transform] A112176 9.50631 [-(x^7-x^6-x^5-x^4+x^3+x^2+x-1)/(-x^9-1) ogf_with_Euler_transform] A112179 99.9999 Evaluated at exp(-Pi) 1/10*exp(-1/2*Pi)*(5+5^(1/2))^2 A112180 99.9999 Evaluated at exp(-Pi) 8/25*exp(-1/2*Pi)*2^(2/5)*5^(3/4)/GAMMA(4/5)^4*GAMMA(9/10)^2*GAMMA(7/10)^2*(5+5^(1/2))^2*(1/4*5^(1/2)-1/4)^2*(1/4*5^(1/2)+1/4)^2 A112182 12.3443 [-(-x^8-x^6-2*x^4-x^2-1)/(x^10-1) ogf_with_Euler_transform] A112192 10.9051 [-(x^10+x^9+x^6+x^4+x+1)/(x^12-1) ogf_with_Euler_transform] A112194 9.23037 [-(x^7+x^6-x^5+x^4+x^3-x^2+x+1)/(x^9-1) ogf_with_Euler_transform] A112206 8.58777 [-(-x^10+x^9-2*x^8-x^6+2*x^5-x^4-2*x^2+x-1)/(-x^12+1) ogf_with_Euler_transform] A112206 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/6*Pi)/Pi^(1/3)*2^(1/2)*3^(1/12)*GAMMA(2/3)^(2/3)*GAMMA(3/4)^(2/3)*(2^(1/2)*(1+3^(1/2)))^(2/3)/GAMMA(11/12)^(2/3) A112209 99.9999 Evaluated at exp(-Pi) 4/25*exp(-1/4*Pi)*2^(9/10)*5^(1/2)/GAMMA(4/5)^4*GAMMA(9/10)^2*GAMMA(7/10)^2*(5+5^(1/2))^2*(1/4*5^(1/2)-1/4)^2*(1/4*5^(1/2)+1/4)^2 A112215 8.77507 [-(-x^28-x^22-x^18-x^16-x^12-x^10-x^6-1)/(x^30-1) ogf_with_Euler_transform] A112240 19.0550 [(1+2*x^2)/(x+1)^2/(2*x-1)^2 lgdegf] A112241 21.6778 [(1+2*x^2)/(-1+2*x+2*x^2)^2 lgdegf] A112242 15.2734 [3+6*x-3*x^2+(-2+8*x-4*x^2)*f(x)+(-1+2*x-x^2)*f(x)^2 lgdegf] A112242 4.10003 [{(n^2+5*n+6)*a(n+1)+(n^2+3*n)*a(n+2)+(-2*n-7)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=5,a(3)=25} ogf] A112243 17.4355 [1+2*x-2*x^2+(-1+4*x-4*x^2)*f(x) lgdegf] A112259 10.4851 [-(8*x+1)/(8*x-1)/(64*x^2+11*x+1) ogf] A112259 4.97596 [-(13955*f(x)-14208)*(512*f(x)*x^3+24*f(x)*x^2-3*f(x)*x-f(x)+8*x+1) ogf] A112259 5.10577 [{a(n+3)+3*a(n+2)-24*a(n+1)-512*a(n),a(0)=1,a(1)=5,a(2)=9} ogf] A112259 9.58634 [-(5+48*x+1728*x^2+8192*x^3)/(8*x+1)/(-1+8*x)/(64*x^2+11*x+1) lgdogf] A112260 11.7461 [-(-1+4*x+64*x^4-64*x^3+24*x^2)/(2*x-1)/(4*x^2-x+1)/(8*x^2-4*x+1) lgdogf] A112260 11.9225 [-(8*x^2-4*x+1)/(2*x-1)/(4*x^2-x+1) ogf] A112260 6.21601 [-(95*f(x)-92)*(8*f(x)*x^3-6*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A112260 6.49352 [{a(n+3)-3*a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A112261 13.4706 [-2*(3*x-1)/(2*x-1)/(4*x^2-x+1) ogf] A112261 6.31015 [-6*x*(2+8*x^2-7*x)/(-1+3*x)/(2*x-1)/(4*x^2-x+1) lgdogf] A112261 6.37448 [{a(n+3)-3*a(n+2)+6*a(n+1)-8*a(n),a(0)=-2,a(1)=0,a(2)=12} ogf] A112261 6.43191 [-(235*f(x)-988)*(8*f(x)*x^3-6*f(x)*x^2+3*f(x)*x-f(x)+6*x-2) ogf] A112274 13.9874 [-(-x^2+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A112279 9.42736 [-(100*x^7+125*x^6+30*x^5+11*x^4+5*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A112293 4.35074 [{(-2*n-3)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A112298 5.93053 [-(2*x^9+3*x^8-x^6+x^5+4*x^4-x^3-x^2+2*x+3)/(-x^10+x^8-x^6+x^4-x^2+1) ogf_with_Euler_transform] A112299 11.9218 [(x^2+x+1)*(x-1)^2/(x^2+1)/(x^4+1) ogf] A112299 14.6099 [-(-1-3*x-7*x^5+2*x^8-x^6-x^7-5*x^2-5*x^3-3*x^4)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4+1) lgdogf] A112299 26.3182 [x^7-x^2-x-1 ogf_with_Euler_transform] A112300 14.5334 [(x-1)^2/(x^2+x+1)/(x^2-x+1) ogf] A112300 25.2348 [-2*(-1-x-2*x^3+x^4)/(x-1)/(1+x+x^2)/(x^2-x+1) lgdogf] A112300 28.5069 [[x^5-x-2] ogf_with_Euler_transform] A112300 7.88957 [{-a(n+4)-a(n+2)-a(n),a(0)=1,a(1)=-2,a(2)=0,a(3)=2} ogf] A112300 8.54026 [-(f(x)+3)*(f(x)*x^4+f(x)*x^2-x^2+f(x)+2*x-1) ogf] A112301 7.87280 [-(-2*x^9-2*x^8+x^7-x-2)/(x^10-x^8+x^2-1) ogf_with_Euler_transform] A112328 4.41888 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2+f(x)^2*x+96*f(x)*x^2-48*f(x)*x+6*f(x)-16*x-12 ogf] A112335 15.0926 [-(x^2+3*x-1)/(x-1)^2 ogf] A112335 39.0427 [-(1+5*x)/(x-1)/(x^2+3*x-1) lgdogf] A112335 7.84223 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=-4} ogf] A112335 8.07987 [-(-29+30*f(x))*(f(x)*x^2-2*f(x)*x+x^2+f(x)+3*x-1) ogf] A112346 15.1242 [-2*(-1-3*x+3*x^2+3*x^3)/(x-1)/(x+1)/(3*x^2-1) lgdogf] A112346 3.87200 [(x+1)/(x-1)/(3*x^2-1) ogf] A112353 6.80906 [(-28+22*x+48*x^7+27*x^2-32*x^3-57*x^4+176*x^5-159*x^6)/(x-1)/(12*x^7-25*x^6+13*x^5+8*x^4-6*x^3-9*x^2-2*x+10) lgdogf] A112353 7.15028 [-(12*x^7-25*x^6+13*x^5+8*x^4-6*x^3-9*x^2-2*x+10)/(x-1)^3 ogf] A112355 10.9422 [-(3*x^3-6*x^2+x+3)/(x-1)^3 ogf] A112355 18.4861 [-(10-10*x+3*x^2)/(x-1)/(3*x^3-6*x^2+x+3) lgdogf] A112355 5.59269 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=3,a(1)=10,a(2)=15,a(3)=21} ogf] A112355 6.23978 [(11*f(x)+42)*(f(x)*x^3-3*f(x)*x^2+3*x^3+3*f(x)*x-6*x^2-f(x)+x+3) ogf] A112368 5.75076 [{(2*n+6)*a(n+1)+(-2*n-7)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A112369 5.77096 [{(2*n+6)*a(n+1)+(-2*n-7)*a(n+2)+a(n+3),a(0)=0,a(1)=2,a(2)=10} ogf] A112370 5.08782 [{(3*n+9)*a(n+1)+(-3*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=22} ogf] A112385 4.25047 [{(256*n^3+1664*n^2+3568*n+2520)*a(n+1)+(-27*n^3-216*n^2-573*n-504)*a(n+2),a(0)=2,a(1)=6} ogf] A112385 42.8262 [-1/16*x*(x-2)^3 revogf] A112387 11.8125 [-2*(1+x+5*x^4+4*x^3+4*x^2+2*x^6)/(x^2+1)/(2*x^2-1)/(2*x^3+2*x+1) lgdogf] A112387 13.5271 [-(2*x^3+2*x+1)/(x^2+1)/(2*x^2-1) ogf] A112387 8.20262 [(2*f(x)+93)*(2*f(x)*x^4+f(x)*x^2+2*x^3-f(x)+2*x+1) ogf] A112414 10.0454 [(3*f(x)+29)*(f(x)*x^2-2*f(x)*x+f(x)+4*x-7) ogf] A112414 10.4085 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=10} ogf] A112414 19.1979 [-(4*x-7)/(x-1)^2 ogf] A112414 24.2151 [-1/2*(-7-2*x+(49+12*x)^(1/2))/(x+4) revogf] A112414 33.9011 [-2*(-5+2*x)/(x-1)/(4*x-7) lgdogf] A112415 5.40039 [{(-n-2)*a(n+2)+(6+n)*a(n+1),a(0)=12,a(1)=60} ogf] A112415 69.8715 [-5/(x-1) lgdogf] A112415 9.54068 [-12/(x-1)^5 ogf] A112421 13.8423 [-2*(1+x+x^2+x^3+x^4+4*x^5)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A112421 14.6117 [-2/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A112421 33.1689 [[x^5+2] ogf_with_Euler_transform] A112422 7.43859 [-(8*x^6+8*x^5+8*x^4+8*x^3+8*x^2+8*x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A112423 5.33953 [-6*(3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A112440 4.02589 [9*x^9*(x^7-x^6-x^5-x^4-x^3-x^2-1)/(x-1) ogf] A112447 12.3493 [-(1+6*x+6*x^4+8*x^3+8*x^5+x^2)/(2*x^2-1)/(2*x^2+x+1)/(x^2+1) lgdogf] A112447 14.4920 [-(2*x^2+x+1)/(x^2+1)/(2*x^2-1) ogf] A112447 8.78772 [(16*f(x)+7)*(2*f(x)*x^4+f(x)*x^2+2*x^2-f(x)+x+1) ogf] A112455 12.7769 [-(x^2+3)/(x^3+x^2+1) ogf] A112455 22.3207 [-x*(4+x^3+9*x)/(x^2+3)/(x^3+x^2+1) lgdogf] A112455 6.90997 [-(651*f(x)+1889)*(f(x)*x^3+f(x)*x^2+x^2+f(x)+3) ogf] A112455 7.28147 [{a(n+3)+a(n+1)+a(n),a(0)=-3,a(1)=0,a(2)=2} ogf] A112459 10.9834 [-(12*x+23)/(2*x+3)/(-1+x) lgdogf] A112459 3.21513 [-(2*x+3)/(x-1)^7 ogf] A112460 30.2455 [-3*(8*x+13)/(3*x+4)/(-1+x) lgdogf] A112460 5.12897 [{(-4*n-12)*a(n+3)+(41+n)*a(n+2)+(27+3*n)*a(n+1),a(0)=4,a(1)=39,a(2)=207} ogf] A112460 7.34055 [-(3*x+4)/(x-1)^9 ogf] A112461 29.5899 [-(59+40*x)/(4*x+5)/(-1+x) lgdogf] A112461 4.82742 [{(-5*n-15)*a(n+3)+(61+n)*a(n+2)+(44+4*n)*a(n+1),a(0)=5,a(1)=59,a(2)=374} ogf] A112461 5.57835 [-(4*x+5)/(x-1)^11 ogf] A112462 30.3217 [-(83+60*x)/(5*x+6)/(-1+x) lgdogf] A112462 4.79023 [-(5*x+6)/(x-1)^13 ogf] A112462 4.94376 [{(-6*n-18)*a(n+3)+(85+n)*a(n+2)+(65+5*n)*a(n+1),a(0)=6,a(1)=83,a(2)=611} ogf] A112463 27.9955 [-3*(37+28*x)/(6*x+7)/(-1+x) lgdogf] A112463 4.86653 [{(-7*n-21)*a(n+3)+(113+n)*a(n+2)+(90+6*n)*a(n+1),a(0)=7,a(1)=111,a(2)=930} ogf] A112464 27.6585 [-(143+112*x)/(7*x+8)/(-1+x) lgdogf] A112464 4.74785 [{(-8*n-24)*a(n+3)+(145+n)*a(n+2)+(119+7*n)*a(n+1),a(0)=8,a(1)=143,a(2)=1343} ogf] A112469 17.4243 [(x+1)/(x-1)/(x^2-x-1) ogf] A112469 22.2003 [-(-1-4*x+x^2+2*x^3)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A112469 9.08289 [{a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A112469 9.81371 [(11*f(x)+13)*(f(x)*x^3-2*f(x)*x^2+f(x)-x-1) ogf] A112476 15.6616 [(x-1)/(x+1)/(x^3+x^2+x-1) ogf] A112476 19.2463 [-(1-4*x-4*x^2+3*x^4)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A112476 8.26582 [-(6*f(x)+79)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2-f(x)-x+1) ogf] A112478 13.8025 [-f(x)^2+f(x)*x+f(x)+x ogf] A112478 16.7064 [1/2*(x-1+(1+6*x+x^2)^(1/2))/(1+6*x+x^2)^(1/2)/x lgdogf] A112478 3.75810 [{(n^2-n)*a(n)+(5*n^2+n)*a(n+1)+(-5*n^2-19*n-18)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=-2} ogf] A112482 5.90561 [f(x)^3*x^2-f(x)^2*x^2-f(x)^2*x+f(x)*x^2+3*f(x)*x-x^2-f(x)-x+1 ogf] A112483 32.5411 [-x*(-1-x+x^2)/(1+2*x) revogf] A112483 9.05324 [f(x)^3*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A112487 44.6896 [2-x-2*exp(-x) revegf] A112494 10.1706 [-21*(3+56*x+204*x^2+40*x^4+192*x^3)/(x-1)/(120*x^4+444*x^3+328*x^2+52*x+1) lgdogf] A112494 4.61237 [-(120*x^4+444*x^3+328*x^2+52*x+1)/(x-1)^11 ogf] A112495 7.25318 [-(5*x-3)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A112495 9.82454 [-(-25+140*x-253*x^2+150*x^3)/(x-1)/(3*x-1)/(-3+5*x)/(-1+2*x) lgdogf] A112498 6.71891 [-(6*x^2+x-3)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A112498 8.55541 [-(-29+136*x-149*x^2-78*x^3+144*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(6*x^2+x-3) lgdogf] A112502 14.2244 [-2*(5-20*x+18*x^2)/(x-1)/(3*x-1)/(-1+2*x) lgdogf] A112502 8.39075 [1/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A112504 7.60966 [-(35-420*x+1800*x^4-3066*x^3+1771*x^2)/(x-1)/(-1+4*x)/(3*x-1)/(2*x-1)/(5*x-1) lgdogf] A112518 19.7405 [1/(x^4+2*x^3-x+1) ogf] A112518 20.8713 [-(2*x+1)*(2*x^2+2*x-1)/(2*x^3+1-x+x^4) lgdogf] A112518 7.37776 [(4*f(x)+5)*(f(x)*x^4+2*f(x)*x^3-f(x)*x+f(x)-1) ogf] A112521 15.1269 [6*(-8*x-1+(-4*x+1)^(1/2))/(16*x+5)/(4*x-1) lgdogf] A112521 3.58573 [{(64*n^2+128*n+60)*a(n+1)+(4*n^2+10*n+6)*a(n+2)+(-5*n^2-15*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A112522 5.27905 [(8*x^10+4*x^9-2*x^8-15*x^7+15*x^6+16*x^5-10*x^4-10*x^3+14*x^2+3*x+1)/(4*x^2+1)/(x^4-x^2+1)/(x^2+1)^2 ogf] A112523 7.78592 [-x*(4*x^6-4*x^5-3*x^4+5*x^3+4*x^2-3*x-1)/(4*x^2+1)/(x^2+1)/(x^4-x^2+1) ogf] A112524 10.0797 [(x^3-3*x^2+5*x+1)/(x-1)^4 ogf] A112524 18.1258 [-(9+9*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2+5*x+1) lgdogf] A112524 4.19533 [{(7*n^2+48*n+68)*a(n+1)+(-22*n^2-150*n-239)*a(n+2)+(15*n^2+78*n+99)*a(n+3),a(0)=1,a(1)=9,a(2)=27} ogf] A112524 5.42753 [(2608*f(x)+3681)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-5*x-1) ogf] A112525 12.8304 [-1/(100*x^3+100*x^2-1) ogf] A112525 14.7822 [-100*x*(2+3*x)/(-1+100*x^2+100*x^3) lgdogf] A112525 5.31361 [{-a(n+3)+100*a(n+1)+100*a(n),a(0)=1,a(1)=0,a(2)=100} ogf] A112525 5.84497 [(9601*f(x)+399)*(100*f(x)*x^3+100*f(x)*x^2-f(x)+1) ogf] A112533 6.08904 [-(54675*x^5-432*x^3+108*x^2+49*x+4)/(27*x^2-1)/(27*x^2+6*x+1)/(27*x^2-6*x+1) ogf] A112553 11.6896 [1/(x^2+1)/(x^2-x+1) ogf] A112553 12.7880 [x^5+x^3-x^2-2*x+1 ogf_with_Euler_transform] A112553 18.3129 [-(-1+4*x+4*x^3-3*x^2)/(1+x^2)/(x^2-x+1) lgdogf] A112553 4.34735 [(109*f(x)+693)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A112556 5.13271 [4*f(x)^2*x^4-f(x)^2*x^3-12*f(x)^2*x^2+16*f(x)*x^3+11*f(x)^2*x-4*f(x)*x^2+x^3-2*f(x)^2-16*f(x)*x+12*x^2+4*f(x)+5*x-2 ogf] A112575 15.1647 [x/(x^4-2*x^3+x^2-2*x+1) ogf] A112575 17.0326 [-2*(-1+x-3*x^2+2*x^3)/(x^2+1-2*x+x^4-2*x^3) lgdogf] A112575 6.46208 [-(11*f(x)+5)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A112576 13.9337 [x/(x^4+x^3-3*x^2-x+1) ogf] A112576 16.3989 [-(x-1)*(4*x^2+7*x+1)/(-3*x^2+1-x+x^4+x^3) lgdogf] A112576 5.59631 [-(29*f(x)-9)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-x) ogf] A112577 13.6712 [x/(x^2+2*x-1)/(x^2-x-1) ogf] A112577 16.6109 [-(-1-8*x+4*x^3+3*x^2)/(x^2+2*x-1)/(x^2-x-1) lgdogf] A112577 6.08883 [(715*f(x)+8)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-x) ogf] A112598 8.79412 [(x^9-5*x^8+x^7+4*x^6-x^5+x^4+x^2-x+1)/(x-1)^2 ogf] A112598 9.17313 [(-1-27*x^5-x+9*x^6+7*x^4-4*x^3+7*x^9-39*x^8+45*x^7)/(x-1)/(x^9-5*x^8+x^7+4*x^6-x^5+x^4+x^2-x+1) lgdogf] A112603 13.9332 [-(2*x^2-x+3)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A112603 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(1/2)*2^(3/8)/GAMMA(3/4)^2 A112604 7.64077 [-(-2*x^8+x^6-x^4+x^3-2*x^2-x)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A112604 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/4*Pi)*2^(1/4)*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)^7*GAMMA(11/12)^2*GAMMA(7/12)^3*(1+3^(1/2)) A112605 8.30526 [-(2*x^6+x^4+x^3-x^2-x+2)/(-x^7-x^6-x-1) ogf_with_Euler_transform] A112606 5.47893 [-(-2*x^18-x^17+x^11-3*x^6-2*x^5-1)/(x^19+x^18+x^13+x^12+x^7+x^6+x+1) ogf_with_Euler_transform] A112607 10.0292 [-(-2*x^12-x^11-1)/(x^13+x^12+x+1) ogf_with_Euler_transform] A112608 5.61042 [-(-2*x^8-x^5-3*x^4+x^3-x^2-2*x)/(x^9+x^7+x^6+x^5+x^4+x^3+x^2+1) ogf_with_Euler_transform] A112609 9.41603 [-(-2*x^6-x^3-x^2)/(x^7+x^4+x^3+1) ogf_with_Euler_transform] A112610 13.9850 [-(4*x^2-2*x+6)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A112610 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi*2^(3/4)/GAMMA(3/4)^4 A112611 4.7973 [(3991*f(x)+7844)*(225*f(x)*x^4-45*f(x)*x^3+60*x^3-5*f(x)*x-4*x^2+f(x)-4*x) ogf] A112611 7.97822 [-6*(1-5*x+35*x^2-135*x^3-225*x^4+1125*x^5)/(5*x-1)/(15*x^2-x-1)/(45*x^3-1) lgdogf] A112611 8.69075 [-4*x*(15*x^2-x-1)/(5*x-1)/(45*x^3-1) ogf] A112627 10.8000 [-(-3-32*x+16*x^2+64*x^3)/(x-1)/(4*x-1)/(2*x+1)/(4*x+1) lgdogf] A112627 14.0395 [(2*x+1)/(x-1)/(4*x-1)/(4*x+1) ogf] A112627 6.71452 [{a(n+3)-a(n+2)-16*a(n+1)+16*a(n),a(0)=1,a(1)=3,a(2)=19} ogf] A112627 7.08412 [(612*f(x)+259)*(16*f(x)*x^3-16*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A112641 8.09891 [-(f(x)-1)^3 ogf] A112651 14.2275 [x*(10*x+1)/(x-1)^2/(x+1) ogf] A112651 21.3979 [-(11+13*x+20*x^2)/(x-1)/(10*x+1)/(x+1) lgdogf] A112651 7.17563 [(4741*f(x)+59296)*(f(x)*x^3-f(x)*x^2-f(x)*x-10*x^2+f(x)-x) ogf] A112651 7.36783 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A112652 11.7132 [x*(3*x^2+2*x+1)/(x^2+1)/(x-1)^2 ogf] A112652 17.5568 [-2*(x+1)*(3*x^3+x+2)/(x-1)/(1+x^2)/(3*x^2+2*x+1) lgdogf] A112652 4.38493 [{(3*n+8)*a(n+1)+(-3*n-5)*a(n+2)+(3*n+8)*a(n+3)+(-3*n-5)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=9} ogf] A112652 6.24133 [(156*f(x)+863)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x-2*x^2+f(x)-x) ogf] A112653 14.0947 [x*(12*x+1)/(x-1)^2/(x+1) ogf] A112653 21.1967 [-(13+15*x+24*x^2)/(x-1)/(1+12*x)/(x+1) lgdogf] A112653 7.04738 [(9997*f(x)+143995)*(f(x)*x^3-f(x)*x^2-f(x)*x-12*x^2+f(x)-x) ogf] A112653 7.29906 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=13} ogf] A112654 12.7435 [x*(x^2+9*x+1)/(x^2+x+1)/(x-1)^2 ogf] A112654 14.8391 [-2*(5+6*x+x^4+14*x^3+7*x^2)/(x-1)/(x^2+x+1)/(x^2+9*x+1) lgdogf] A112654 5.02018 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=10,a(3)=11} ogf] A112654 6.78959 [-(49*f(x)+475)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-9*x^2+f(x)-x) ogf] A112655 12.5580 [x*(x^2+11*x+1)/(x^2+x+1)/(x-1)^2 ogf] A112655 14.5839 [-2*(6+7*x+8*x^2+17*x^3+x^4)/(x-1)/(x^2+11*x+1)/(1+x+x^2) lgdogf] A112655 5.02318 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=12,a(3)=13} ogf] A112655 6.6306 [-(223*f(x)+2621)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-11*x^2+f(x)-x) ogf] A112657 12.9426 [1/2/(1+x+7*x^2)*(-5*x-1+3*(9*x^2+2*x+1)^(1/2))*x revogf] A112657 6.96834 [-7*f(x)^2*x^2-5*f(x)^2*x+2*f(x)^2-f(x)*x-f(x)-1 ogf] A112657 9.70693 [1/2*(-42*x^2-x+5+3*(-(x+1)*(3*x-1))^(1/2))/(7*x-2)/(3*x-1)/(x+1) lgdogf] A112667 10.5067 [(88-32*x+45*x^6-5*x^4-58*x^3+10*x^5-47*x^2)/(x-1)/(9*x^6+16*x^5+25*x^4+21*x^3+16*x^2+9*x-97) lgdogf] A112667 12.0136 [(9*x^6+16*x^5+25*x^4+21*x^3+16*x^2+9*x-97)/(x-1) ogf] A112685 12.0762 [-(-1-2*x+8*x^4-4*x^3-11*x^2)/(1+2*x)/(4*x^2-x-1)/(x^2+2*x-1) lgdogf] A112685 12.9528 [(4*x^2-x-1)/(2*x+1)/(x^2+2*x-1) ogf] A112685 7.61141 [-(9*f(x)-8)*(2*f(x)*x^3+5*f(x)*x^2-4*x^2-f(x)+x+1) ogf] A112685 7.85434 [{a(n+3)-5*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A112689 14.4652 [x/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A112689 20.2454 [-(1-x+6*x^4+x^3+5*x^2)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A112689 28.4194 [x^3+x^2-x+1 ogf_with_Euler_transform] A112690 14.3794 [-x/(x^2+x+1)/(x^2+1)/(x-1) ogf] A112690 21.3046 [x*(x^2+x-1) ogf_with_Euler_transform] A112690 24.2614 [-x*(-2+5*x^3+3*x)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A112690 6.84069 [-(f(x)-2)*(f(x)*x^5+f(x)*x^3-f(x)*x^2-f(x)+x) ogf] A112691 10.5662 [-(4*x^6-5*x^4-2*x^3+5*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A112696 3.84047 [{(-8*n-20)*a(n+1)+(9*n+24)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A112696 6.18519 [2*f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112697 3.68530 [{(12*n+30)*a(n+1)+(-13*n-34)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=4,a(2)=22} ogf] A112697 6.01285 [3*f(x)^2*x^3-6*f(x)^2*x^2+3*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112698 3.50574 [{(16*n+40)*a(n+1)+(-17*n-44)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=5,a(2)=37} ogf] A112698 5.71989 [4*f(x)^2*x^3-8*f(x)^2*x^2+4*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112699 3.29018 [{(20*n+50)*a(n+1)+(-21*n-54)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=6,a(2)=56} ogf] A112699 5.31227 [5*f(x)^2*x^3-10*f(x)^2*x^2+5*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112700 3.52781 [{(24*n+60)*a(n+1)+(-25*n-64)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=7,a(2)=79} ogf] A112700 5.69594 [6*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112701 3.65048 [{(-28*n-70)*a(n+1)+(29*n+74)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=8,a(2)=106} ogf] A112701 5.93204 [7*f(x)^2*x^3-14*f(x)^2*x^2+7*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112702 3.79578 [{(-32*n-80)*a(n+1)+(33*n+84)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=9,a(2)=137} ogf] A112702 6.16814 [8*f(x)^2*x^3-16*f(x)^2*x^2+8*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112703 3.37303 [{(-36*n-90)*a(n+1)+(37*n+94)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=10,a(2)=172} ogf] A112703 5.5163 [9*f(x)^2*x^3-18*f(x)^2*x^2+9*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112704 3.43522 [{(-40*n-100)*a(n+1)+(41*n+104)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=11,a(2)=211} ogf] A112704 5.57347 [10*f(x)^2*x^3-20*f(x)^2*x^2+10*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112710 16.9623 [-1/6*(-1-x-6*x^2+(1+2*x+13*x^2)^(1/2))/x^2 revogf] A112710 4.47839 [{(12*n+30)*a(n+1)+(-11*n-26)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=-2,a(2)=16} ogf] A112710 7.30685 [-3*f(x)^2*x^3+6*f(x)^2*x^2-3*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112711 10.3529 [-1/2*(-x+1+3*(16*x+1)^(1/2)*x-(16*x+1)^(1/2))/(16*x+1)^(1/2)/x/(x-1) lgdogf] A112711 16.7618 [-1/8*(-1-x-8*x^2+(1+2*x+17*x^2)^(1/2))/x^2 revogf] A112711 4.42595 [{(-16*n-40)*a(n+1)+(15*n+36)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=-3,a(2)=29} ogf] A112711 7.22129 [-4*f(x)^2*x^3+8*f(x)^2*x^2-4*f(x)^2*x+f(x)*x-f(x)+1 ogf] A112712 6.23600 [x/(x^2+1)/(x^4-x^3+x^2-x+1) ogf] A112712 9.50720 [-(-1+4*x+6*x^5-5*x^4+8*x^3-6*x^2)/(1+x^2)/(x^4-x^3+x^2-x+1) lgdogf] A112712 9.84576 [x^9-x^4+x^3-2*x+1 ogf_with_Euler_transform] A112713 13.7994 [-x/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A112713 17.1376 [-(-5*x^4+1+6*x^5)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) lgdogf] A112713 21.3597 [x^9-x^4+1 ogf_with_Euler_transform] A112742 33.4831 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A112742 35.1526 [[6-x] ogf_with_Euler_transform] A112742 5.63523 [{(n+1)*a(n+3)-6*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=4} ogf] A112742 9.41582 [-4*x^2*(x+1)/(x-1)^5 ogf] A112765 7.79690 [-x^4*(2*x^20+x^15+x^10+x^5+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1) ogf] A112802 7.87706 [-x^82/(x^24-x^21+x^20+x^15+x^6-1) ogf] A112803 9.28538 [-(-x^6+2*x^5-x^4+x^2-2*x+1)/(-x^8-x^6-x^4-x^2-1) ogf_with_Euler_transform] A112805 9.37319 [-x^4*f(x)^3+f(x)^2*x^4-f(x)*x+f(x)-1 ogf] A112806 12.9241 [1/2*(1-x+x^2+((1+x+x^2)*(x^2-3*x+1))^(1/2))*x revogf] A112814 10.2090 [(106-104*x+10060*x^6+12575*x^4-22635*x^5)/(x-1)/(2515*x^6-2515*x^5+104*x-105) lgdogf] A112814 11.2836 [-(2515*x^6-2515*x^5+104*x-105)/(x-1)^2 ogf] A112818 8.54151 [(157-155*x+136090*x^7-299398*x^6+163308*x^5)/(x-1)/(27218*x^7-27218*x^6+155*x-156) lgdogf] A112818 9.78938 [-(27218*x^7-27218*x^6+155*x-156)/(x-1)^2 ogf] A112819 3.72567 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=20,a(1)=24,a(2)=529,a(3)=530} ogf] A112819 6.67284 [-(504*x^3-501*x^2+16*x-20)/(x-1)^2 ogf] A112819 7.10193 [2*(12+493*x+252*x^3-756*x^2)/(-1+x)/(504*x^3-501*x^2+16*x-20) lgdogf] A112820 9.91604 [-(79218*x^18-79218*x^17+271*x-272)/(x-1)^2 ogf] A112821 2.33094 [(f(x)+58825)*(f(x)*x^2-2*f(x)*x+f(x)+342*x-343) ogf] A112821 4.42404 [-(342*x-343)/(x-1)^2 ogf] A112821 6.03577 [-2*(-172+171*x)/(-1+x)/(342*x-343) lgdogf] A112831 13.7962 [-(5*x-1)/(9*x^2-7*x+1) ogf] A112831 14.4830 [-1/2*(-1-7*x+(1-6*x+13*x^2)^(1/2))/(5+9*x) revogf] A112831 16.0075 [-(2-18*x+45*x^2)/(5*x-1)/(9*x^2-7*x+1) lgdogf] A112831 7.30386 [(f(x)-2)*(9*f(x)*x^2-7*f(x)*x+f(x)+5*x-1) ogf] A112831 7.57106 [{a(n+2)-7*a(n+1)+9*a(n),a(0)=1,a(1)=2} ogf] A112832 5.17595 [(7562*f(x)+2341)*(f(x)*x^4-4*f(x)*x^3+x^3+4*f(x)*x-3*x^2-f(x)-2*x+1) ogf] A112832 8.02683 [-(2-6*x+6*x^4+12*x^3+x^6-6*x^5+3*x^2)/(x-1)/(x+1)/(x^3-3*x^2-2*x+1)/(x^2-4*x+1) lgdogf] A112832 9.37674 [-(x^3-3*x^2-2*x+1)/(x-1)/(x+1)/(x^2-4*x+1) ogf] A112835 6.22973 [-(x+1)*(x^6-2*x^4+x^3-2*x^2-x-1)/(x^8-2*x^6-2*x^4-2*x^2+1) ogf] A112848 5.84067 [-(-2*x^11-x^10-2*x^9+x^8-x^7+x^6+x^4-x^3-x^2-2*x-1)/(x^12-x^9+x^3-1) ogf_with_Euler_transform] A112849 4.80056 [-4*f(x)^2*x^4+9*f(x)^2*x^3-8*f(x)*x^4-6*f(x)^2*x^2+6*f(x)*x^3-4*x^4+f(x)^2*x+7*f(x)*x^2-3*x^3-6*f(x)*x+4*x^2+f(x)+x-1 ogf] A112851 38.0536 [[7-x] ogf_with_Euler_transform] A112851 39.9007 [-(5*x+7)/(x-1)/(x+1) lgdogf] A112851 6.10027 [{(n+1)*a(n+3)-7*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A112851 9.15040 [3*x^2*(x+1)/(x-1)^6 ogf] A112865 4.76303 [(x-1)*(x^2+1)*(2*x^48-x^32+x^16-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x^16-x^8+1) ogf] A112884 2.78967 [-(107*f(x)-70)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+2*x^3+3*f(x)*x-f(x)-3*x+2) ogf] A112884 5.39489 [-(-3+x+4*x^5+4*x^4-12*x^3+10*x^2)/(-1+x)/(2*x-1)/(x+1)/(2*x^3-3*x+2) lgdogf] A112884 5.49846 [-(2*x^3-3*x+2)/(x+1)/(2*x-1)/(x-1)^2 ogf] A112958 5.21283 [-2-x^3+(6+2*x^3)*f(x)+(-x^3-6)*f(x)^2+2*f(x)^3 lgdegf] A112959 11.5962 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A112960 4.86192 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A112982 3.14227 [(f(x)*x-f(x)+1)^2 ogf] A112986 11.9107 [-(5+9*x+20*x^5+15*x^4+19*x^3+40*x^2)/(x-1)/(x^2+x+1)/(5*x^3+2*x^2+2*x+3) lgdogf] A112986 9.26426 [-x^3*(5*x^3+2*x^2+2*x+3)/(x^2+x+1)^2/(x-1)^3 ogf] A113010 4.24146 [-(1022*x^19+510*x^18+254*x^17+126*x^16+62*x^15+30*x^14+14*x^13+6*x^12+2*x^11+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(2*x^10-1) ogf] A113019 4.46053 [-(511*x^18+255*x^17+127*x^16+63*x^15+31*x^14+15*x^13+7*x^12+3*x^11+x^10+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A113021 14.7239 [-x^2/(x^4+x^3-2*x^2+2*x-1) ogf] A113021 17.9710 [-(2-4*x+4*x^3+3*x^2)/(-2*x^2-1+2*x+x^4+x^3) lgdogf] A113021 6.24293 [-(7*f(x)-2)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)) ogf] A113022 3.00594 [(x^2+7*x-4)/(5*x-1)/(x-1)^2 ogf] A113022 7.0496 [(170672*f(x)+63817)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-x^2-f(x)-7*x+4) ogf] A113023 4.08629 [-5*f(x)*x+f(x)+7*x-5 ogf] A113023 6.52400 [18/(5*x-1)/(7*x-5) lgdogf] A113032 11.6268 [-(x-1)^2/(x^8+x^3-3*x^2+3*x-1) ogf] A113032 13.1185 [-(-1+3*x+6*x^8-8*x^7+x^3-3*x^2)/(-1+x)/(x^8+x^3-3*x^2+3*x-1) lgdogf] A113047 21.6151 [(1+4*x^3+13*x^12+40*x^39)/(1+x+x^4+x^13+x^40) lgdogf] A113059 12.5920 [(-x-exp(x)+exp(x)*x)/(-1+x) lgdegf] A113060 18.1029 [(exp(x)*x-exp(x)-2+x)/(x-1) lgdegf] A113066 11.0416 [(x+1)^2/(x^2+x+1)/(x^2+3*x+1) ogf] A113066 14.8015 [-2*(1+3*x+6*x^2+4*x^3+x^4)/(x+1)/(x^2+x+1)/(x^2+3*x+1) lgdogf] A113066 5.68558 [-(47*f(x)+1)*(f(x)*x^4+4*f(x)*x^3+5*f(x)*x^2+4*f(x)*x-x^2+f(x)-2*x-1) ogf] A113067 15.4789 [-x/(x^2+x+1)/(x^2+3*x+1) ogf] A113067 18.1655 [-2*(x+2)*(2*x^2+2*x+1)/(x^2+x+1)/(x^2+3*x+1) lgdogf] A113067 6.37367 [(94*f(x)+19)*(f(x)*x^4+4*f(x)*x^3+5*f(x)*x^2+4*f(x)*x+f(x)+x) ogf] A113070 13.3421 [(x+1)^2/(2*x-1)^2 ogf] A113070 43.3540 [-6/(x+1)/(2*x-1) lgdogf] A113070 6.86537 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=6,a(2)=21} ogf] A113070 7.4435 [(11*f(x)+53)*(4*f(x)*x^2-4*f(x)*x-x^2+f(x)-2*x-1) ogf] A113071 12.0526 [(x+1)^2/(3*x-1)^2 ogf] A113071 39.1297 [-8/(x+1)/(3*x-1) lgdogf] A113071 6.20183 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=8,a(2)=40} ogf] A113071 6.8687 [(2*f(x)+7)*(9*f(x)*x^2-6*f(x)*x-x^2+f(x)-2*x-1) ogf] A113116 3.02618 [-(9*x^2+3*x+1)*(2071723*x^3+1)/(5363222357*x^6-1) ogf] A113119 11.7287 [10*(10*x^2-2*x+1)/(10*x-1)^2 ogf] A113119 6.33983 [{-a(n+3)+20*a(n+2)-100*a(n+1),a(0)=10,a(1)=180,a(2)=2700} ogf] A113119 6.96753 [(5*f(x)+94)*(100*f(x)*x^2-20*f(x)*x-100*x^2+f(x)+20*x-10) ogf] A113127 14.0374 [(x+1)*(x^2+1)/(x-1)^2 ogf] A113127 22.1046 [(-3-3*x-3*x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A113127 34.1077 [[-x^3+3] ogf_with_Euler_transform] A113127 7.44594 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=6,a(3)=10} ogf] A113127 8.15507 [-(8*f(x)+1)*(f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A113142 17.0517 [(-5+5*x+3*x^2+x^3)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A113142 5.02951 [{-a(n+5)-2*a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=-5,a(3)=10,a(4)=-14} ogf] A113142 5.91433 [(38*f(x)+769)*(-x^4+f(x)*x^2-x^3+2*f(x)*x+3*x^2+f(x)-x) ogf] A113142 9.82689 [x*(x-1)*(x^2+2*x-1)/(x+1)^2 ogf] A113179 17.3472 [-2*(1-2*x+6*x^2)/(-4*x^2-1+4*x+8*x^3) lgdogf] A113179 3.27439 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(-12-4*n)*a(n+2)+(20+8*n)*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=12} ogf] A113179 8.08491 [8*f(x)^2*x^3-4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A113180 17.9218 [-2*(1-2*x+8*x^3)/(-4*x^2-1+4*x+8*x^4) lgdogf] A113180 8.35108 [8*f(x)^2*x^4-4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A113185 99.9999 Evaluated at exp(-Pi) 1/1250*Pi/GAMMA(3/4)^4/GAMMA(4/5)^4*2^(2/5)*GAMMA(9/10)^2*GAMMA(7/10)^2*(1/4*5^(1/2)-1/4)^2*(1/4*5^(1/2)+1/4)^2*(5^(1/2)*2^(1/2)*(5+5^(1/2))^(1/2))^(11/2)/(2^(1/2)*5^(1/2)*(5-5^(1/2))^(1/2))^(3/2) A113217 11.1965 [-x*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A113217 26.5851 [-x^9+x^8+x ogf_with_Euler_transform] A113217 8.17376 [-x*(2+5*x^11+4*x^2+6*x^4+8*x^6+9*x^7+7*x^9+3*x^13+x^15)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1) lgdogf] A113224 10.5681 [(x^2+1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A113224 10.6898 [-2*(-1-3*x+x^4+2*x^3+x^5+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+2*x-1) lgdogf] A113224 5.32503 [(334*f(x)+127)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-1) ogf] A113225 10.0557 [-(x^2+x-1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A113225 11.3373 [-(1+2*x+5*x^4+2*x^5-6*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A113225 5.17794 [-(28*f(x)+1)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1) ogf] A113235 15.8346 [1-2*x+4*x^2-2*x^3+(-x^2-1+2*x)*f(x) lgdegf] A113235 3.34862 [{-2*a(n)+4*a(n+1)+(-n-4)*a(n+2)+(2*n+7)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=1/2,a(3)=7/6,a(4)=49/24} egf] A113236 15.6720 [-(-1+3*x^4-6*x^3+3*x^2)/(x-1)^2 lgdegf] A113237 17.9744 [-(-1+4*x^3-8*x^4+4*x^5)/(x-1)^2 lgdegf] A113249 11.5659 [-(81*x^3+27*x^2-1)/(3*x-1)/(3*x+1)/(9*x^2+4*x+1) ogf] A113249 6.38439 [(1502*f(x)+2421)*(81*f(x)*x^4+36*f(x)*x^3+81*x^3-4*f(x)*x+27*x^2-f(x)-1) ogf] A113249 8.16315 [-(4+54*x+4374*x^5+6561*x^6+243*x^2+324*x^3+972*x^4)/(3*x-1)/(3*x+1)/(9*x^2+4*x+1)/(81*x^3+27*x^2-1) lgdogf] A113250 10.2460 [-(256*x^3+48*x^2-1)/(4*x-1)/(4*x+1)/(16*x^2+4*x+1) ogf] A113250 5.81973 [-(3*f(x)+8)*(256*f(x)*x^4+64*f(x)*x^3+256*x^3-4*f(x)*x+48*x^2-f(x)-1) ogf] A113250 7.08154 [-4*(1+24*x+16384*x^6+6144*x^5+768*x^4+256*x^3+192*x^2)/(1+4*x)/(-1+4*x)/(16*x^2+4*x+1)/(256*x^3+48*x^2-1) lgdogf] A113251 10.4169 [-(625*x^3+75*x^2-1)/(5*x+1)/(5*x-1)/(25*x^2+4*x+1) ogf] A113251 5.76939 [(19818*f(x)+71975)*(625*f(x)*x^4+100*f(x)*x^3+625*x^3-4*f(x)*x+75*x^2-f(x)-1) ogf] A113251 7.03291 [-(4+150*x+93750*x^5+390625*x^6+1875*x^2+2500*x^3+7500*x^4)/(5*x+1)/(5*x-1)/(25*x^2+4*x+1)/(625*x^3+75*x^2-1) lgdogf] A113252 4.93203 [-(3779*f(x)+17784)*(1296*f(x)*x^4+144*f(x)*x^3+1296*x^3-4*f(x)*x+108*x^2-f(x)-1) ogf] A113252 6.09854 [-4*(1+54*x+419904*x^6+69984*x^5+3888*x^4+1296*x^3+972*x^2)/(-1+6*x)/(1+6*x)/(36*x^2+4*x+1)/(1296*x^3+108*x^2-1) lgdogf] A113252 8.94341 [-(1296*x^3+108*x^2-1)/(6*x-1)/(6*x+1)/(36*x^2+4*x+1) ogf] A113253 4.40549 [(243994*f(x)+1459367)*(2401*f(x)*x^4+196*f(x)*x^3+2401*x^3-4*f(x)*x+147*x^2-f(x)-1) ogf] A113253 5.35520 [-(4+294*x+5764801*x^6+705894*x^5+7203*x^2+9604*x^3+28812*x^4)/(7*x+1)/(7*x-1)/(49*x^2+4*x+1)/(2401*x^3+147*x^2-1) lgdogf] A113253 7.98861 [-(2401*x^3+147*x^2-1)/(7*x+1)/(7*x-1)/(49*x^2+4*x+1) ogf] A113254 4.76187 [-(149*f(x)+1112)*(4096*f(x)*x^4+256*f(x)*x^3+4096*x^3-4*f(x)*x+192*x^2-f(x)-1) ogf] A113254 5.62356 [-4*(1+96*x+4194304*x^6+393216*x^5+12288*x^4+4096*x^3+3072*x^2)/(8*x+1)/(8*x-1)/(64*x^2+4*x+1)/(4096*x^3+192*x^2-1) lgdogf] A113254 8.50787 [-(4096*x^3+192*x^2-1)/(8*x+1)/(8*x-1)/(64*x^2+4*x+1) ogf] A113255 4.84093 [(4012046*f(x)+36710901)*(6561*f(x)*x^4+324*f(x)*x^3+6561*x^3-4*f(x)*x+243*x^2-f(x)-1) ogf] A113255 5.76102 [-(4+486*x+43046721*x^6+3188646*x^5+78732*x^4+26244*x^3+19683*x^2)/(9*x+1)/(9*x-1)/(81*x^2+4*x+1)/(6561*x^3+243*x^2-1) lgdogf] A113255 8.90731 [-(6561*x^3+243*x^2-1)/(9*x+1)/(9*x-1)/(81*x^2+4*x+1) ogf] A113256 4.90016 [-(41537*f(x)+458600)*(10000*f(x)*x^4+400*f(x)*x^3+10000*x^3-4*f(x)*x+300*x^2-f(x)-1) ogf] A113256 5.64769 [-4*(1+150*x+25000000*x^6+1500000*x^5+30000*x^4+10000*x^3+7500*x^2)/(10*x+1)/(10*x-1)/(100*x^2+4*x+1)/(10000*x^3+300*x^2-1) lgdogf] A113256 8.90938 [-(10000*x^3+300*x^2-1)/(10*x+1)/(10*x-1)/(100*x^2+4*x+1) ogf] A113261 99.9999 Evaluated at exp(-Pi) 1/64*3^(3/4)*GAMMA(2/3)^3/GAMMA(3/4)^9*GAMMA(7/12)^3*(1+3^(1/2))^3 A113264 15.2576 [-1/10*(-1-x-10*x^2+(1+2*x+21*x^2)^(1/2))/x^2 revogf] A113264 4.23619 [{(-20*n-50)*a(n+1)+(19*n+46)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=-4,a(2)=46} ogf] A113264 6.83969 [-5*f(x)^2*x^3+10*f(x)^2*x^2-5*f(x)^2*x+f(x)*x-f(x)+1 ogf] A113264 9.87253 [-1/2*(-x+1+3*(20*x+1)^(1/2)*x-(20*x+1)^(1/2))/(20*x+1)^(1/2)/x/(x-1) lgdogf] A113265 14.3205 [-1/12*(-1-x-12*x^2+(1+2*x+25*x^2)^(1/2))/x^2 revogf] A113265 3.97193 [{(-24*n-60)*a(n+1)+(23*n+56)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=-5,a(2)=67} ogf] A113265 6.41301 [-6*f(x)^2*x^3+12*f(x)^2*x^2-6*f(x)^2*x+f(x)*x-f(x)+1 ogf] A113265 9.26619 [-1/2*(-x+1+3*(24*x+1)^(1/2)*x-(24*x+1)^(1/2))/(24*x+1)^(1/2)/x/(x-1) lgdogf] A113266 13.1358 [-1/14*(-1-x-14*x^2+(1+2*x+29*x^2)^(1/2))/x^2 revogf] A113266 3.65575 [{(-28*n-70)*a(n+1)+(27*n+66)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=-6,a(2)=92} ogf] A113266 5.90253 [-7*f(x)^2*x^3+14*f(x)^2*x^2-7*f(x)^2*x+f(x)*x-f(x)+1 ogf] A113266 8.49963 [-1/2*(-x+1+3*(28*x+1)^(1/2)*x-(28*x+1)^(1/2))/(28*x+1)^(1/2)/x/(x-1) lgdogf] A113267 13.6509 [-1/16*(-1-x-16*x^2+(1+2*x+33*x^2)^(1/2))/x^2 revogf] A113267 3.77762 [{(32*n+80)*a(n+1)+(-31*n-76)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=-7,a(2)=121} ogf] A113267 6.13863 [-8*f(x)^2*x^3+16*f(x)^2*x^2-8*f(x)^2*x+f(x)*x-f(x)+1 ogf] A113267 8.83295 [-1/2*(-x+1+3*(32*x+1)^(1/2)*x-(32*x+1)^(1/2))/(32*x+1)^(1/2)/x/(x-1) lgdogf] A113268 14.0373 [-1/18*(-1-x-18*x^2+(1+2*x+37*x^2)^(1/2))/x^2 revogf] A113268 3.88658 [{(36*n+90)*a(n+1)+(-35*n-86)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=-8,a(2)=154} ogf] A113268 6.3157 [-9*f(x)^2*x^3+18*f(x)^2*x^2-9*f(x)^2*x+f(x)*x-f(x)+1 ogf] A113268 9.08294 [-1/2*(-x+1+3*(36*x+1)^(1/2)*x-(36*x+1)^(1/2))/(36*x+1)^(1/2)/x/(x-1) lgdogf] A113269 14.4880 [-1/20*(-1-x-20*x^2+(1+2*x+41*x^2)^(1/2))/x^2 revogf] A113269 3.98815 [{(40*n+100)*a(n+1)+(-39*n-96)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=-9,a(2)=191} ogf] A113269 6.38919 [-10*f(x)^2*x^3+20*f(x)^2*x^2-10*f(x)^2*x+f(x)*x-f(x)+1 ogf] A113269 9.37459 [-1/2*(-x+1+3*(40*x+1)^(1/2)*x-(40*x+1)^(1/2))/(40*x+1)^(1/2)/x/(x-1) lgdogf] A113277 13.7032 [-(-3*x+2)/(x^2-1) ogf_with_Euler_transform] A113277 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/3*Pi)*Pi^(3/4)*2^(1/4)/GAMMA(3/4)^3 A113281 11.4279 [-(-1-3*x+x^5+x^4+2*x^3+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+2*x-1) lgdogf] A113281 6.64332 [-f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+x^2+1 ogf] A113282 6.83461 [-(x^5+x^4+2*x^3+4*x^2-3*x-1)/(x-1)/(x+1)/(x^2+1)/(x^2+2*x-1) ogf] A113297 10.9590 [-(x^12+x^10+x^8+x^4+x^2+1)/(-x^14+1) ogf_with_Euler_transform] A113298 99.9999 Evaluated at exp(-Pi) 16/125*exp(-1/12*Pi)*2^(1/10)*5^(1/4)/GAMMA(4/5)^6*GAMMA(9/10)^3*GAMMA(7/10)^3*(5+5^(1/2))^3*(1/4*5^(1/2)-1/4)^3*(1/4*5^(1/2)+1/4)^3 A113300 18.7741 [-x/(x^3+x^2+3*x-1) ogf] A113300 25.3247 [-(3+2*x+3*x^2)/(x^2-1+3*x+x^3) lgdogf] A113300 6.93458 [{a(n+3)-3*a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A113300 9.99661 [f(x)*x^3+f(x)*x^2+3*f(x)*x-f(x)+x ogf] A113301 13.7380 [x*(x+1)/(x-1)/(x^3+x^2+3*x-1) ogf] A113301 13.8048 [-(-5+4*x+3*x^4+4*x^3+2*x^2)/(-1+x)/(x+1)/(x^3+x^2+3*x-1) lgdogf] A113301 6.99168 [-(44*f(x)-9)*(f(x)*x^4+2*f(x)*x^2-4*f(x)*x-x^2+f(x)-x) ogf] A113306 16.1683 [-(x^2-1)/(-x^4+x^2-1) ogf_with_Euler_transform] A113311 11.8011 [{-a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=4} ogf] A113311 13.9619 [-f(x)*(f(x)*x+x^2-f(x)+2*x+1) ogf] A113311 22.0287 [-(x+1)^2/(x-1) ogf] A113311 47.1074 [[3-2*x] ogf_with_Euler_transform] A113311 54.0376 [(-3+x)/(x-1)/(x+1) lgdogf] A113312 12.3851 [f(x)*x^3-2*f(x)*x^2-x^2+f(x)-2*x-1 ogf] A113312 15.4270 [(x+1)^2/(x-1)/(x^2-x-1) ogf] A113312 22.7471 [-(-2-4*x+3*x^2+x^3)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A113312 9.35466 [{a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A113335 5.88850 [{(-n-2)*a(n+2)+(7+n)*a(n+1),a(0)=243,a(1)=1458} ogf] A113335 78.6017 [-6/(x-1) lgdogf] A113335 9.16923 [243/(x-1)^6 ogf] A113337 6.93338 [f(x)^3-f(x)^2*x-f(x)*x^2-2*f(x)^2+2*f(x)*x+f(x)-x ogf] A113338 7.20323 [-(41*x^4+18*x^3+278*x^2+18*x+41)/(x+1)^2/(x-1)^3 ogf] A113338 8.12542 [-(59+779*x+77*x^4+1016*x^3+41*x^5+404*x^2)/(x-1)/(x+1)/(41*x^4+18*x^3+278*x^2+18*x+41) lgdogf] A113405 18.6168 [-x^3/(x+1)/(2*x-1)/(x^2-x+1) ogf] A113405 18.9927 [-(2+8*x^3-3*x^2)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A113405 9.42333 [-2*f(x)*x^4+f(x)*x^3-x^3-2*f(x)*x+f(x) ogf] A113407 6.90704 [-(2*x^6+x^5-x^3+3*x^2+2*x+1)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A113407 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/8*Pi)*2^(7/8)*GAMMA(5/8)^2*(2+2^(1/2))^(3/2)/Pi^(1/2)/GAMMA(7/8)^2 A113409 6.36617 [-2*f(x)^2*x^4-f(x)^2*x^3+f(x)^2*x^2-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A113411 5.95434 [-(2*x^6+3*x^4+x^3+x^2-x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A113411 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)/Pi^(1/2)*2^(1/2)/GAMMA(7/8)^2*GAMMA(5/8)^2*(2+2^(1/2))*(2-2^(1/2))^(1/2) A113416 11.1933 [-(4*x^5-2*x^4+x^3+5*x-2)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] A113416 99.9999 Evaluated at exp(-Pi) 1/16*2^(3/4)*GAMMA(5/8)^4*(3+2*2^(1/2))*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A113417 7.99525 [-(-4*x^7-2*x^6-5*x^5-2*x^4-2*x^3-2*x^2-5*x-2)/(x^8-1) ogf_with_Euler_transform] A113417 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/2*Pi)/Pi*2^(1/2)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))*(2-2^(1/2))^(1/2) A113419 7.99525 [-(-4*x^7+2*x^6-7*x^5+2*x^4-2*x^3+2*x^2-7*x+2)/(x^8-1) ogf_with_Euler_transform] A113419 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/2*Pi)/Pi*2^(3/4)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))*(2-2^(1/2))^(1/2) A113421 8.35514 [-(-4*x^11-2*x^10-2*x^9-3*x^7-2*x^6-2*x^5-2*x^4-3*x^3-2*x-2)/(x^12-1) ogf_with_Euler_transform] A113422 11.5643 [-(7+4*x^5+16*x+13*x^4+22*x^3+28*x^2)/(x-1)/(x+1)/(1+x^2+x)/(2*x^2+x+2) lgdogf] A113422 9.22667 [-x*(x+1)*(2*x^2+x+2)/(x^2+x+1)/(x-1)^3 ogf] A113423 9.18890 [-(-3*x^6-x^5-3*x^4-2*x^3-2*x^2-1)/(x^7+x^5-x^2-1) ogf_with_Euler_transform] A113424 12.6261 [hypergeom([1/6,5/6],[1],432*x) ogf] A113424 5.03071 [{(-432*n^2-1296*n-924)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=60} ogf] A113428 10.6032 [-(x^4+x^2+x)/(-x^5+1) ogf_with_Euler_transform] A113429 10.6032 [-(-x^4-x^3-1)/(x^5-1) ogf_with_Euler_transform] A113430 4.76078 [-(x^9+x^8+x^6+x^5+x^4+x^3+x^2+1)/(-x^10+1) ogf_with_Euler_transform] A113431 6.34733 [-(x^9+x^8+x^7+x^6+x^4+x^2+x+1)/(-x^10+1) ogf_with_Euler_transform] A113435 13.1376 [-(x-1)*(x^2+x+1)/(x^4-2*x^3-x+1) ogf] A113435 14.1171 [-(1+x^6-2*x^3+3*x^2)/(x-1)/(x^2+x+1)/(x^4-2*x^3-x+1) lgdogf] A113435 6.74633 [-(5*f(x)-2)*(f(x)*x^4-2*f(x)*x^3+x^3-f(x)*x+f(x)-1) ogf] A113436 4.73635 [(10*f(x)-3)*(f(x)*x^4-11*f(x)*x^3+15*f(x)*x^2+4*x^3-7*f(x)*x-8*x^2+f(x)+5*x-1) ogf] A113436 8.39353 [-(x-1)*(2*x-1)^2/(x^4-11*x^3+15*x^2-7*x+1) ogf] A113436 8.55544 [-(-2+10*x+2*x^5-20*x^2+18*x^3-7*x^4)/(x-1)/(2*x-1)/(x^4-11*x^3+15*x^2-7*x+1) lgdogf] A113437 4.37816 [-(3*f(x)+4)*(f(x)*x^4-11*f(x)*x^3+15*f(x)*x^2+2*x^3-7*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A113437 7.92501 [-(2*x-1)*(x-1)^2/(x^4-11*x^3+15*x^2-7*x+1) ogf] A113437 7.96576 [-(-3+17*x-35*x^2+29*x^3-8*x^4+2*x^5)/(x-1)/(-1+2*x)/(x^4-11*x^3+15*x^2-7*x+1) lgdogf] A113438 10.7944 [-(4-16*x+x^4-4*x^3+18*x^2)/(x-1)/(x^4-11*x^3+15*x^2-7*x+1) lgdogf] A113438 5.28586 [-(3*f(x)+1)*(f(x)*x^4-11*f(x)*x^3+15*f(x)*x^2+x^3-7*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A113438 9.56809 [-(x-1)^3/(x^4-11*x^3+15*x^2-7*x+1) ogf] A113439 13.6501 [-(1+4*x^3-2*x^4+x^8)/(x-1)/(x+1)/(x^2+1)/(x^5-2*x^4-x+1) lgdogf] A113439 13.6762 [-(x^2+1)*(x-1)*(x+1)/(x^5-2*x^4-x+1) ogf] A113439 7.02291 [(2*f(x)^2-1)*(f(x)*x^5-2*f(x)*x^4+x^4-f(x)*x+f(x)-1) ogf] A113440 6.07901 [-(x-1)*(2*x-1)^3/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) ogf] A113440 6.48001 [-(2-12*x+2*x^6+32*x^2-44*x^3+29*x^4-8*x^5)/(x-1)/(-1+2*x)/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) lgdogf] A113441 6.20699 [-(2*x-1)^2*(x-1)^2/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) ogf] A113441 6.69374 [-(3-21*x+60*x^2-82*x^3+49*x^4-9*x^5+2*x^6)/(x-1)/(2*x-1)/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) lgdogf] A113442 6.43429 [-(2*x-1)*(x-1)^3/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) ogf] A113442 6.57771 [-(4-30*x+88*x^2-120*x^3+69*x^4-10*x^5+2*x^6)/(x-1)/(-1+2*x)/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) lgdogf] A113443 6.56493 [-(x-1)^4/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) ogf] A113443 8.46153 [-(-5+29*x-5*x^4+42*x^3+x^5-58*x^2)/(x-1)/(x^5-20*x^4+38*x^3-28*x^2+9*x-1) lgdogf] A113444 13.1367 [-(1+x^10-2*x^5+5*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^6-2*x^5-x+1) lgdogf] A113444 14.3302 [-(x-1)*(x^4+x^3+x^2+x+1)/(x^6-2*x^5-x+1) ogf] A113446 7.51949 [-(2*x^8-x^7+2*x^6-x^4+x^3+2*x^2-2*x+1)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A113447 9.07022 [-(-2*x^7+x^6-2*x^4-x^3+2*x^2-1)/(x^8+x^4+1) ogf_with_Euler_transform] A113447 99.9999 Evaluated at exp(-Pi) 1/36*exp(Pi)*Pi^2*3^(1/2)/GAMMA(2/3)^3/GAMMA(3/4)^5*GAMMA(11/12)^3*2^(1/2)*(3^(1/2)-1)^3 A113448 4.42909 [-(2*x^14-x^13+x^12+x^11+x^8-x^7+x^6+x^5+x^2-x+1)/(-x^15-x^12-x^9-x^6-x^3-1) ogf_with_Euler_transform] A113449 4.4202 [-(107723*f(x)+11114)*(f(x)*x^4-4*f(x)*x^3-12*f(x)*x^2+8*f(x)*x-f(x)-8*x+2) ogf] A113449 9.42819 [-4*(-1+6*x-9*x^2-9*x^3+3*x^4)/(-1+4*x)/(x^2+1-6*x)/(x^2+2*x-1) lgdogf] A113449 9.62461 [2*(4*x-1)/(x^2-6*x+1)/(x^2+2*x-1) ogf] A113450 4.27109 [-(215446*f(x)+11749)*(f(x)*x^4-4*f(x)*x^3-12*f(x)*x^2+8*f(x)*x-2*x^2-f(x)+4*x) ogf] A113450 8.99517 [2*x*(x-2)/(x^2-6*x+1)/(x^2+2*x-1) ogf] A113450 9.58275 [-(-15+48*x+12*x^2-16*x^3+3*x^4)/(x-2)/(x^2+1-6*x)/(x^2+2*x-1) lgdogf] A113497 16.4165 [(4*x^2+3*x+1)/(x+1)^2/(x-1)^2 ogf] A113497 8.47198 [-(3+12*x+8*x^3+9*x^2)/(-1+x)/(x+1)/(4*x^2+3*x+1) lgdogf] A113497 9.84987 [(64*f(x)+53)*(f(x)*x^4-2*f(x)*x^2-4*x^2+f(x)-3*x-1) ogf] A113500 4.96982 [(x^4-140*x^3-965*x^2+894*x-32)/(x-1)/(x+1)/(x^2-123*x+1) ogf] A113531 5.51153 [(3*x^5+117*x^4+374*x^3+210*x^2+15*x+1)/(x-1)^6 ogf] A113531 7.65106 [-3*(7+165*x+83*x^4+530*x^3+x^5+654*x^2)/(x-1)/(3*x^5+117*x^4+374*x^3+210*x^2+15*x+1) lgdogf] A113532 4.40387 [-(4*x^6+285*x^5+1857*x^4+2278*x^3+594*x^2+21*x+1)/(x-1)^7 ogf] A113532 5.53972 [-2*(14+657*x+4902*x^2+8270*x^3+3498*x^4+297*x^5+2*x^6)/(x-1)/(4*x^6+285*x^5+1857*x^4+2278*x^3+594*x^2+21*x+1) lgdogf] A113541 13.3180 [(x^2+17*x+1)/(x+1)/(x-1)^2 ogf] A113541 17.6035 [-(18+22*x+x^3+35*x^2)/(x-1)/(x+1)/(x^2+17*x+1) lgdogf] A113541 7.11827 [(52*f(x)+1005)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-17*x-1) ogf] A113541 7.24315 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=18,a(2)=20} ogf] A113551 15.3681 [1/(1+3*x)^2*((1+3*x)*(x+1))^(1/2)*x revegf] A113553 6.34373 [-(x^7-x^6+x^5-x^4-x^3-2*x^2-2*x-1)/(x^2+1)/(x-1)^2 ogf] A113574 4.99956 [(2*x^8+2*x^7+x^6+4*x^5+2*x^4+4*x^3+2*x^2+2*x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A113596 4.86501 [-x*(4*x^5+80*x^4+120*x^3+65*x^2+10*x+1)/(x-1)^9 ogf] A113596 8.36925 [-(19+210*x+16*x^5+420*x^4+1040*x^3+815*x^2)/(x-1)/(4*x^5+80*x^4+120*x^3+65*x^2+10*x+1) lgdogf] A113618 3.98188 [(4*x^7+679*x^6+7956*x^5+18907*x^4+11212*x^3+1533*x^2+28*x+1)/(x-1)^8 ogf] A113630 3.23681 [-(5*x^8+1548*x^7+31360*x^6+129620*x^5+148266*x^4+48316*x^3+3728*x^2+36*x+1)/(x-1)^9 ogf] A113655 13.0160 [(2*x^3-x^2-x+3)/(x^2+x+1)/(x-1)^2 ogf] A113655 16.9422 [-2*(1+x^5-x^3+8*x^2)/(x-1)/(x^2+x+1)/(2*x^3-x^2-x+3) lgdogf] A113655 5.47623 [{(-n-4)*a(n+1)-a(n+2)-a(n+3)+(n+3)*a(n+4),a(0)=3,a(1)=2,a(2)=1,a(3)=6} ogf] A113655 7.12778 [-(84*f(x)+257)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x+x^2+f(x)+x-3) ogf] A113660 5.73327 [-(2*x^8-6*x^7+9*x^6-2*x^5-3*x^4+3*x^3+4*x^2-9*x+6)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A113660 99.9999 Evaluated at exp(-Pi) 2/3*Pi*3^(1/2)/GAMMA(2/3)*GAMMA(3/4)^3/GAMMA(11/12)^2/GAMMA(7/12)^3*2^(1/2)*(3^(1/2)-1) A113677 3.60420 [{(-16*n^2-80*n-84)*a(n+1)+(n+3)*a(n+2),a(0)=3,a(1)=30} ogf] A113677 7.74235 [3*hypergeom([1/2,5/2],[2],16*x) egf] A113679 10.7894 [-f(x)*x+2*x^2+f(x)+x-1 ogf] A113679 12.7075 [(x+1)*(2*x-1)/(x-1) ogf] A113679 28.7079 [2*x*(x-2)/(x-1)/(2*x-1)/(x+1) lgdogf] A113679 6.88961 [{a(n+3)-a(n+2),a(0)=1,a(1)=0,a(2)=-2} ogf] A113681 8.78862 [-(-x^4+x^3-x^2-x+1)/(x^5-1) ogf_with_Euler_transform] A113682 4.88086 [3*f(x)^2*x^4+5*f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x+3*f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A113683 11.5329 [2*(8*x^6+24*x^5-2*x^4-6*x^3-2*x^2-21*x-5)/(x-1)/(x+1) ogf] A113683 9.44945 [(21+14*x+72*x^6-126*x^4+8*x^3-52*x^5+39*x^2+32*x^7)/(x-1)/(x+1)/(8*x^6+24*x^5-2*x^4-6*x^3-2*x^2-21*x-5) lgdogf] A113684 11.3637 [-(4-2*x+4*x^4+2*x^3+3*x^5-9*x^2)/(x-1)/(x^2+x-1)/(x^3+x^2-1) lgdogf] A113684 8.54702 [-x*(x^3+x^2-1)/(x-1)^2/(x^2+x-1)^2 ogf] A113687 8.04029 [-(-2*x^4+x^3-x^2+x-1)/(x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A113706 16.6166 [-(1+x)/(-x^2-x-1) ogf_with_Euler_transform] A113726 15.6386 [-2*x*(1+2*x)*(4*x+1)/(2*x-1)/(x+1)/(2*x^2+x+1) lgdogf] A113726 16.2213 [-1/(x+1)/(2*x-1)/(2*x^2+x+1) ogf] A113726 6.95197 [-(11*f(x)-10)*(4*f(x)*x^4+4*f(x)*x^3+f(x)*x^2-f(x)+1) ogf] A113727 15.3432 [-1/(x^2+2*x-1)/(x+1)^2 ogf] A113727 24.2943 [-4*x*(x+2)/(x+1)/(x^2+2*x-1) lgdogf] A113727 3.52267 [{(n+4)*a(n+4)+(-n-3)*a(n+3)+(-14-3*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=0,a(2)=4,a(3)=4} ogf] A113727 6.90443 [(37*f(x)-5)*(f(x)*x^4+4*f(x)*x^3+4*f(x)*x^2-f(x)+1) ogf] A113754 6.28542 [-(x+1)*(x^2+18*x+1)*(x^2+4*x+1)/(x-1)^7 ogf] A113754 8.43221 [-2*(15+165*x+37*x^4+238*x^3+x^5+384*x^2)/(x-1)/(x+1)/(x^2+18*x+1)/(x^2+4*x+1) lgdogf] A113763 28.8762 [-x^12+x^11+2 ogf_with_Euler_transform] A113763 6.15138 [(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A113770 14.7629 [(x+1)*(7*x+1)/(x-1)^2 ogf] A113770 24.7325 [-2*(5+11*x)/(x-1)/(7*x+1)/(x+1) lgdogf] A113770 7.52340 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=10,a(2)=26} ogf] A113770 8.32376 [(8*f(x)+17)*(f(x)*x^2-2*f(x)*x-7*x^2+f(x)-8*x-1) ogf] A113772 10.2585 [-(x^3-2*x^2+6*x-2)/(x^2+x-1)^3 ogf] A113772 11.0732 [-x*(-4+3*x^3-8*x^2+31*x)/(x^2+x-1)/(x^3-2*x^2+6*x-2) lgdogf] A113774 6.82558 [2/3*exp(x)+1/3*3^(1/2)*exp(-1/2*x)*sin(1/2*3^(1/2)*x)+1/3*exp(-1/2*x)*cos(1/2*3^(1/2)*x) lgdegf] A113775 12.5298 [(-n-5)*a(n+1)+(n+2)*a(n+4),a(0)=1,a(1)=2,a(2)=0,a(3)=4 lgdegf] A113778 5.20227 [-(3+x+x^6-x^5+3*x^7-3*x^4+29*x^3-x^2)/(-1+x)/(x+1)/(1+x^2)/(3*x^4-x^3-x^2-x+4) lgdogf] A113778 5.46145 [(3*x^4-x^3-x^2-x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A113779 10.0833 [-(35601*f(x)-453739)*(f(x)*x^3+8*x^2-f(x)+9*x+17) ogf] A113779 11.6547 [{a(n+3)-a(n),a(0)=17,a(1)=9,a(2)=8} ogf] A113779 14.6607 [-(9+16*x+8*x^4+18*x^3+51*x^2)/(x-1)/(x^2+x+1)/(8*x^2+9*x+17) lgdogf] A113779 17.9483 [-(8*x^2+9*x+17)/(x-1)/(x^2+x+1) ogf] A113780 8.05575 [-(-2*x^6+x^5-4*x^4-4*x^2-3)/(x^7+x^6+2*x^5+2*x^4+2*x^3+2*x^2+x+1) ogf_with_Euler_transform] A113790 10.5659 [(x^5-x^4+2*x^3+2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A113790 8.80994 [-(1+5*x-x^5+19*x^4+10*x^6+6*x^7-x^8+x^9+x^3+9*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5-x^4+2*x^3+2*x^2-x+2) lgdogf] A113801 13.3793 [(x^2+12*x+1)/(x+1)/(x-1)^2 ogf] A113801 17.6845 [-(13+17*x+x^3+25*x^2)/(x-1)/(x+1)/(x^2+12*x+1) lgdogf] A113801 7.2132 [(11*f(x)+160)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-12*x-1) ogf] A113801 7.27646 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=15} ogf] A113802 13.4440 [2*(x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A113802 18.5794 [-(6+10*x+x^3+11*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A113802 7.31162 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=12,a(2)=16} ogf] A113802 7.37633 [(f(x)+24)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-10*x-2) ogf] A113803 13.0173 [(3*x^2+8*x+3)/(x+1)/(x-1)^2 ogf] A113803 15.8812 [-(11+23*x+3*x^3+19*x^2)/(x-1)/(x+1)/(3*x^2+8*x+3) lgdogf] A113803 6.96542 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=11,a(2)=17} ogf] A113803 7.15368 [(5*f(x)-2)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-8*x-3) ogf] A113804 12.6958 [2*(2*x^2+3*x+2)/(x+1)/(x-1)^2 ogf] A113804 16.1412 [-(5+13*x+8*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2+3*x+2) lgdogf] A113804 6.79336 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=4,a(1)=10,a(2)=18} ogf] A113804 6.91468 [(5*f(x)-26)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-6*x-4) ogf] A113805 12.9523 [(5*x^2+4*x+5)/(x+1)/(x-1)^2 ogf] A113805 16.1293 [-(9+29*x+5*x^3+13*x^2)/(x-1)/(x+1)/(5*x^2+4*x+5) lgdogf] A113805 6.8111 [-(f(x)+39)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-4*x-5) ogf] A113805 6.99193 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=9,a(2)=19} ogf] A113806 12.9523 [2*(3*x^2+x+3)/(x+1)/(x-1)^2 ogf] A113806 17.2046 [-(4+16*x+3*x^3+5*x^2)/(x-1)/(x+1)/(3*x^2+x+3) lgdogf] A113806 6.75289 [(891*f(x)+27950)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-2*x-6) ogf] A113806 6.99193 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=8,a(2)=20} ogf] A113828 6.38588 [-(-9-32*x-1216*x^4-192*x^3+4096*x^7+1024*x^6-80*x^2)/(x-1)/(8*x^2-1)/(32*x^3+16*x^2+8*x+1)/(8*x^2+1) lgdogf] A113828 8.92630 [(32*x^3+16*x^2+8*x+1)/(x-1)/(8*x^2+1)/(8*x^2-1) ogf] A113829 6.71649 [(256*x^5+128*x^4+32*x^3+16*x^2+8*x+1)/(x-1)/(4*x-1)/(4*x+1)/(16*x^2+4*x+1)/(16*x^2-4*x+1) ogf] A113835 12.0488 [(4*x+1)/(x-1)/(8*x^2-1) ogf] A113835 13.3097 [-(-5-16*x-8*x^2+64*x^3)/(x-1)/(4*x+1)/(8*x^2-1) lgdogf] A113835 5.65122 [{a(n+3)-a(n+2)-8*a(n+1)+8*a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A113835 6.19987 [(3*f(x)+4)*(8*f(x)*x^3-8*f(x)*x^2-f(x)*x+f(x)-4*x-1) ogf] A113836 11.8029 [(2*x+1)/(x-1)/(8*x^2-1) ogf] A113836 13.3157 [-(4*x+3)*(8*x^2-4*x-1)/(x-1)/(2*x+1)/(8*x^2-1) lgdogf] A113836 5.53588 [{a(n+3)-a(n+2)-8*a(n+1)+8*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A113836 5.73903 [-(34*f(x)+31)*(8*f(x)*x^3-8*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A113841 10.1899 [(4*x^2+2*x+1)/(4*x-1)/(x-1)/(16*x^2+4*x+1) ogf] A113841 5.34972 [(17003*f(x)+4674)*(64*f(x)*x^4-64*f(x)*x^3-f(x)*x-4*x^2+f(x)-2*x-1) ogf] A113841 8.17213 [-(-3-8*x+128*x^4+512*x^5-188*x^2)/(x-1)/(-1+4*x)/(4*x^2+2*x+1)/(16*x^2+4*x+1) lgdogf] A113854 5.04292 [(1757*f(x)+2006)*(64*f(x)*x^4-64*f(x)*x^3-f(x)*x-32*x^2+f(x)-2*x-1) ogf] A113854 7.22692 [-(-3-64*x-160*x^2-1664*x^4+4096*x^5)/(-1+x)/(-1+4*x)/(32*x^2+2*x+1)/(16*x^2+4*x+1) lgdogf] A113854 9.45547 [(32*x^2+2*x+1)/(4*x-1)/(x-1)/(16*x^2+4*x+1) ogf] A113859 10.4568 [-(6*x^2-14*x+7)/(x-1)/(2*x^2-4*x+1) ogf] A113859 5.68704 [(19*f(x)+65)*(2*f(x)*x^3-6*f(x)*x^2+5*f(x)*x+6*x^2-f(x)-14*x+7) ogf] A113859 5.68704 [{-a(n+3)+5*a(n+2)-6*a(n+1)+2*a(n),a(0)=7,a(1)=21,a(2)=69} ogf] A113859 9.63045 [-(21-72*x+12*x^4-56*x^3+96*x^2)/(x-1)/(2*x^2-4*x+1)/(6*x^2-14*x+7) lgdogf] A113861 11.8973 [4*f(x)*x^3-3*f(x)*x-2*x^2+f(x)-x ogf] A113861 16.2678 [x*(2*x+1)/(x+1)/(2*x-1)^2 ogf] A113861 21.2628 [-(5+10*x+8*x^2)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A113861 8.57118 [{-a(n+3)+3*a(n+2)-4*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A113867 5.04187 [(101640*f(x)+180233)*(64*f(x)*x^4-64*f(x)*x^3-f(x)*x-32*x^2+f(x)-16*x-1) ogf] A113867 6.71404 [-(-17-64*x+1024*x^4-1792*x^3+4096*x^5-160*x^2)/(x-1)/(-1+4*x)/(16*x^2+4*x+1)/(32*x^2+16*x+1) lgdogf] A113867 9.69589 [(32*x^2+16*x+1)/(4*x-1)/(x-1)/(16*x^2+4*x+1) ogf] A113870 5.22672 [-(528*f(x)-35)*(16*f(x)*x^3-16*f(x)*x^2-f(x)*x+12*x^2+f(x)-2*x-1) ogf] A113870 5.54765 [{a(n+3)-a(n+2)-16*a(n+1)+16*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A113870 9.38969 [-(3+8*x+192*x^4-64*x^3-4*x^2)/(x-1)/(4*x-1)/(4*x+1)/(12*x^2-2*x-1) lgdogf] A113870 9.88175 [-(12*x^2-2*x-1)/(x-1)/(4*x-1)/(4*x+1) ogf] A113876 10.3413 [-(8*x^2-4*x-1)/(x-1)/(4*x-1)/(4*x+1) ogf] A113876 5.42918 [-(136*f(x)+35)*(16*f(x)*x^3-16*f(x)*x^2-f(x)*x+8*x^2+f(x)-4*x-1) ogf] A113876 5.66522 [{-a(n+3)+a(n+2)+16*a(n+1)-16*a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A113876 9.25780 [-(5+16*x+128*x^4-128*x^3+24*x^2)/(x-1)/(-1+4*x)/(4*x+1)/(8*x^2-4*x-1) lgdogf] A113920 30.5112 [3*x^2*(2*x-3)/(x-1)/(x^3-x+1) lgdogf] A113920 8.19249 [-(x^3-x+1)^3/(x-1)^3 ogf] A113922 21.7813 [2*(-23-10*x+x^2)/(x-1)/(x^2+14*x+1) lgdogf] A113922 3.78577 [{(n+4)*a(n+4)+(-7+13*n)*a(n+3)+(-46-13*n)*a(n+2)+(1-n)*a(n+1),a(0)=1,a(1)=46,a(2)=769,a(3)=5632} ogf] A113922 7.05529 [(x^2+14*x+1)^3/(x-1)^4 ogf] A113923 2.34048 [-f(x)*x+f(x)+9*x-12 ogf] A113923 6.02057 [1/(-1+x)/(3*x-4) lgdogf] A113946 14.0249 [-(5+36*x+16*x^2)/(4*x-1)/(2*x+1)/(1+4*x)/(x+1) lgdogf] A113946 4.83718 [{a(n+4)+a(n+3)-16*a(n+2)-16*a(n+1),a(0)=1,a(1)=5,a(2)=23,a(3)=81} ogf] A113946 5.17998 [(351+1540*f(x))*(16*f(x)*x^3+16*f(x)*x^2+8*x^3-f(x)*x+12*x^2-f(x)+6*x+1) ogf] A113946 9.13689 [-(2*x+1)^3/(4*x-1)/(4*x+1)/(x+1) ogf] A113954 14.2885 [(2*x^2-1)/(2*x-1)/(x+1)^2 ogf] A113954 17.3633 [-2*x*(-1+2*x^2-2*x)/(2*x-1)/(x+1)/(2*x^2-1) lgdogf] A113954 8.14290 [{a(n+3)-3*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A113954 8.50887 [(7*f(x)-8)*(2*f(x)*x^3+3*f(x)*x^2-2*x^2-f(x)+1) ogf] A113956 4.44057 [-4*f(x)^2*x^4-15*f(x)^2*x^3-8*f(x)^2*x^2+7*f(x)^2*x-4*f(x)*x^2-f(x)^2-3*f(x)*x+f(x)-x ogf] A113968 10.4466 [-x^2*(2*x+1)/(4*x-1)/(4*x+1)/(x+1) ogf] A113968 12.0670 [-(1+32*x+64*x^3+80*x^2)/(-1+4*x)/(1+2*x)/(4*x+1)/(x+1) lgdogf] A113968 4.98588 [{a(n+4)+a(n+3)-16*a(n+2)-16*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=1} ogf] A113968 6.03794 [-f(x)*(16*f(x)*x^3+16*f(x)*x^2+2*x^3-f(x)*x+x^2-f(x)) ogf] A113973 9.17951 [-(2*x^5-5*x^3+x^2+5*x-2)/(-x^6+x^5-x^3+x-1) ogf_with_Euler_transform] A113973 99.9999 Evaluated at exp(-Pi) 1/24*3^(1/4)/Pi*GAMMA(2/3)^3*GAMMA(3/4)*(1+3^(1/2))^3/GAMMA(11/12)^3 A113975 2.90255 [-(7*f(x)+11)*(f(x)*x+x^2-f(x)+3*x+2) ogf] A113975 5.16011 [-(x+2)*(x+1)/(x-1) ogf] A113975 7.04328 [(-5-2*x+x^2)/(-1+x)/(2+x)/(x+1) lgdogf] A113976 4.76325 [{a(n+4)-4*a(n+3)+3*a(n+2),a(0)=14,a(1)=133,a(2)=616,a(3)=2128} ogf] A113976 4.88333 [-(13319*f(x)-134806)*(3*f(x)*x^2-63*x^3-4*f(x)*x-126*x^2+f(x)-77*x-14) ogf] A113976 8.80479 [7*(3*x+2)*(3*x+1)*(x+1)/(3*x-1)/(x-1) ogf] A113977 8.58713 [-(-3*x^8-x^7-3*x^6-x^5+4*x^4-x^3-3*x^2-x-3)/(x^10-1) ogf_with_Euler_transform] A113979 12.4525 [-x*(3*x-2)/(2*x-1)/(2*x^2-1) ogf] A113979 14.5688 [-(1+8*x+24*x^3-30*x^2)/(2*x-1)/(3*x-2)/(2*x^2-1) lgdogf] A113979 6.39452 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A113979 6.63356 [(f(x)+4)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-2*x) ogf] A113980 11.6359 [(x-1)^2/(2*x-1)/(2*x^2-1) ogf] A113980 16.6500 [-2*x*(3+2*x^2-6*x)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A113980 5.96463 [-(460*f(x)+269)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)+2*x-1) ogf] A113980 6.39452 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A114014 11.1484 [(-7-38*x+16*x^2+32*x^3)/(-1+4*x)/(2*x+1)/(4*x+1)/(x+1) lgdogf] A114014 4.06991 [{-a(n+5)-a(n+4)+16*a(n+3)+16*a(n+2),a(0)=1,a(1)=7,a(2)=33,a(3)=127,a(4)=529} ogf] A114014 4.32787 [-(7964*f(x)-1323)*(16*f(x)*x^3+16*x^4+16*f(x)*x^2+32*x^3-f(x)*x+24*x^2-f(x)+8*x+1) ogf] A114014 7.49459 [-(2*x+1)^4/(4*x-1)/(4*x+1)/(x+1) ogf] A114022 6.41173 [-x*(26*x^14-2*x^13-2*x^12-2*x^11-2*x^10+48*x^9-66*x^8+5*x^3-4*x^2-x-1)/(x-1)^2 ogf] A114040 11.8223 [-(-9+28*x+7*x^4-4*x^3-38*x^2)/(x-1)/(x^2-6*x+1)/(7*x^2-2*x-1) lgdogf] A114040 12.0280 [(7*x^2-2*x-1)/(x-1)/(x^2-6*x+1) ogf] A114040 6.38005 [(153*f(x)+143)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-7*x^2-f(x)+2*x+1) ogf] A114040 6.49296 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=49} ogf] A114044 7.36764 [(x^2+x+1)*(x^23-x^22+x^20-x^19+x^17-x^16+x^14-x^13+x^11-x^10-x^3+x^2-1)/(2*x^25+x^20+2*x^15+2*x^11+x^10+2*x^6+x^2-1) ogf] A114046 11.6937 [-(1151*x-1)/(x^2-2302*x+1) ogf] A114046 12.7487 [-(1151-2*x+1151*x^2)/(1151*x-1)/(x^2-2302*x+1) lgdogf] A114046 5.57362 [-(2649600*f(x)-1324799)*(f(x)*x^2-2302*f(x)*x+f(x)+1151*x-1) ogf] A114046 6.77702 [{a(n+2)-2302*a(n+1)+a(n),a(0)=1,a(1)=1151} ogf] A114047 11.0827 [-(649*x-1)/(x^2-1298*x+1) ogf] A114047 5.32821 [-(842400*f(x)-421199)*(f(x)*x^2-1298*f(x)*x+f(x)+649*x-1) ogf] A114047 6.36937 [{a(n+2)-1298*a(n+1)+a(n),a(0)=1,a(1)=649} ogf] A114047 9.59160 [-1/2*(-1-1298*x+(1+1684800*x^2)^(1/2))/(x+649) revogf] A114048 11.2442 [-2*(85-x+85*x^2)/(170*x-1)/(x^2-340*x+1) lgdogf] A114048 4.55156 [-(28899*f(x)-14449)*(f(x)*x^2-340*f(x)*x+f(x)+170*x-1) ogf] A114048 5.34544 [{a(n+2)-340*a(n+1)+a(n),a(0)=1,a(1)=170} ogf] A114048 9.38180 [-(170*x-1)/(x^2-340*x+1) ogf] A114049 11.4436 [-(55-2*x+55*x^2)/(55*x-1)/(x^2-110*x+1) lgdogf] A114049 4.65879 [-(6048*f(x)-3023)*(f(x)*x^2-110*f(x)*x+f(x)+55*x-1) ogf] A114049 5.37131 [{a(n+2)-110*a(n+1)+a(n),a(0)=1,a(1)=55} ogf] A114049 9.51169 [-(55*x-1)/(x^2-110*x+1) ogf] A114050 11.0046 [-(197-2*x+197*x^2)/(197*x-1)/(x^2-394*x+1) lgdogf] A114050 4.67458 [-(77616*f(x)-38807)*(f(x)*x^2-394*f(x)*x+f(x)+197*x-1) ogf] A114050 5.48992 [{a(n+2)-394*a(n+1)+a(n),a(0)=1,a(1)=197} ogf] A114050 9.63537 [-(197*x-1)/(x^2-394*x+1) ogf] A114051 13.2017 [-1/2*(-1-48*x+(1+2300*x^2)^(1/2))/(x+24) revogf] A114051 13.2730 [-(24*x-1)/(x^2-48*x+1) ogf] A114051 13.8966 [-2*(12-x+12*x^2)/(24*x-1)/(x^2-48*x+1) lgdogf] A114051 6.56666 [-(575*f(x)-287)*(f(x)*x^2-48*f(x)*x+f(x)+24*x-1) ogf] A114051 7.42658 [{a(n+2)-48*a(n+1)+a(n),a(0)=1,a(1)=24} ogf] A114052 11.6389 [-(26*x-1)/(x^2-52*x+1) ogf] A114052 13.4048 [-1/2*(-1-52*x+(1+2700*x^2)^(1/2))/(x+26) revogf] A114052 14.1104 [-2*(13-x+13*x^2)/(26*x-1)/(x^2-52*x+1) lgdogf] A114052 5.75817 [-(675*f(x)-337)*(f(x)*x^2-52*f(x)*x+f(x)+26*x-1) ogf] A114052 6.51221 [{a(n+2)-52*a(n+1)+a(n),a(0)=1,a(1)=26} ogf] A114091 5.44457 [-(x^8-2*x^5-x^4-x^3+2*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A114091 5.69416 [-(1+4*x-5*x^6-6*x^5+4*x^4+4*x^3+x^10+6*x^2)/(-1+x)/(x^2+x+1)/(x^8-2*x^5-x^4-x^3+2*x^2+x+1) lgdogf] A114099 19.7757 [x^8/(-x^9+1) ogf_with_Euler_transform] A114099 6.31546 [(x+1)*(x^2-x+1)*(x^6-x^3+1)*(x^36-x^27+1)/(3*x^45+x^36-2*x^27-2*x^18+1) ogf] A114111 6.23771 [-(9608*x^22-9608*x^21+24*x^16-24*x^15+8*x^9-4*x^8-4*x^7+2*x^6-2*x^5-x^3-1)/(x-1)^2 ogf] A114112 11.6636 [(x^4-2*x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A114112 14.6832 [(-2-6*x+x^5-x^4-3*x^3+3*x^2)/(x-1)/(x+1)/(x^4-2*x^3+x^2+x+1) lgdogf] A114112 6.75263 [-(4*f(x)+183)*(f(x)*x^3-x^4-f(x)*x^2+2*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A114113 10.7249 [-(x^4-2*x^3+x^2+x+1)/(x+1)/(x-1)^3 ogf] A114113 16.1988 [-(3+8*x+2*x^3-x^2)/(x-1)/(x+1)/(x^4-2*x^3+x^2+x+1) lgdogf] A114113 6.02789 [-(3896*f(x)-1851)*(f(x)*x^4-2*f(x)*x^3+x^4-2*x^3+2*f(x)*x+x^2-f(x)+x+1) ogf] A114119 12.9918 [-(x^3-x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A114119 21.4497 [(x+3)*(2*x+1)/(x-1)/(x+1)/(x^3-x^2-2*x-1) lgdogf] A114119 6.79117 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=5,a(3)=6} ogf] A114119 7.22929 [-(3*f(x)+67)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A114121 4.67185 [{(-16*n-8)*a(n)+(8*n+10)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2,a(2)=7} ogf] A114121 5.90127 [16*f(x)^2*x^2-8*f(x)^2*x-8*f(x)*x^2+f(x)^2+6*f(x)*x+x^2-f(x) ogf] A114122 4.29483 [(116*f(x)-103)*(4*f(x)*x^4+4*f(x)*x^3-2*f(x)*x+x^2-f(x)+2*x+1) ogf] A114122 8.09680 [-(x+1)^2/(2*x^2-1)/(2*x^2+2*x+1) ogf] A114122 9.54918 [-2*x*(2*x+1)*(1+2*x^2+4*x)/(x+1)/(2*x^2-1)/(1+2*x^2+2*x) lgdogf] A114138 4.36109 [(x^19-2*x^18-x^9+2*x^8-x^4+2*x^3-x+1)/(4*x^19-4*x^18+2*x^14-4*x^13+2*x^11-2*x^10-2*x^9+2*x^6-2*x^5-3*x^4+3*x^3-2*x+1) ogf] A114140 4.36109 [(x^19-2*x^18-x^9+2*x^8-x^4+2*x^3-x+1)/(4*x^19-4*x^18+2*x^14-4*x^13+2*x^11-2*x^10-2*x^9+2*x^6-2*x^5-3*x^4+3*x^3-2*x+1) ogf] A114142 10.6162 [(2*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)+x-2) ogf] A114142 11.0046 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=3} ogf] A114142 20.0528 [-(x-2)/(x-1)^2 ogf] A114142 30.5266 [x/(1+x)^(1/2)/(1+(1+x)^(1/2)) revogf] A114142 49.1817 [-(x-3)/(x-1)/(x-2) lgdogf] A114143 15.0214 [-(-2-x+(x+4)^(1/2))/(x+3) revogf] A114143 15.6473 [-(-5+3*x)/(-1+x)/(3*x-4) lgdogf] A114143 4.53464 [(2*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)+3*x-4) ogf] A114143 4.75584 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=5} ogf] A114143 8.66620 [-(3*x-4)/(x-1)^2 ogf] A114182 4.1527 [(1694704*f(x)-84053)*(f(x)*x^4-9*f(x)*x^3+16*f(x)*x^2-x^3-9*f(x)*x+7*x^2+f(x)-16*x) ogf] A114182 8.02856 [x*(x^2-7*x+16)/(x^2-7*x+1)/(x-1)^2 ogf] A114185 10.5632 [x*(x-2)^2/(x^2-3*x+1)/(x-1)^2 ogf] A114185 3.87493 [{(-n-6)*a(n+1)+(4*n+23)*a(n+2)+(-4*n-21)*a(n+3)+(n+5)*a(n+4),a(0)=0,a(1)=4,a(2)=16,a(3)=49} ogf] A114185 5.43036 [-(743*f(x)-3176)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-x^3-5*f(x)*x+4*x^2+f(x)-4*x) ogf] A114185 5.90117 [-(-8+19*x+2*x^3-11*x^2)/(x-2)/(-1+x)/(x^2-3*x+1) lgdogf] A114190 10.2450 [1/2*(4*x+29*x^2-24*x^3+((1+8*x)*(x^2+10*x-2)^2)^(1/2))/(1+8*x)/(x^3-2*x^2-1) lgdogf] A114190 8.27691 [-f(x)^2*x^3+2*f(x)^2*x^2+f(x)^2-f(x)*x-3*f(x)+2 ogf] A114191 13.579 [f(x)^2*x-f(x)^2+3*f(x)-2 ogf] A114191 18.3873 [1/2*(-1-8*x+3*(1+8*x)^(1/2))/(1+8*x)/(x-1) lgdogf] A114191 26.6299 [1/4*(3+x+(1+6*x+x^2)^(1/2))*x revogf] A114191 4.94597 [{(-8*n-12)*a(n+1)+(7*n+9)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=-1,a(2)=3} ogf] A114194 7.55819 [-f(x)^2*x^3+4*f(x)^2*x^2-3*f(x)^2*x-f(x)*x-2*f(x)+2 ogf] A114196 11.7528 [-(3*x-1)/(x^3+8*x^2-6*x+1) ogf] A114196 12.7122 [-(3-16*x+21*x^2+6*x^3)/(3*x-1)/(x^3+8*x^2-6*x+1) lgdogf] A114196 5.51237 [{a(n+3)-6*a(n+2)+8*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A114196 5.66271 [-(251*f(x)-21)*(f(x)*x^3+8*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A114199 12.0588 [-2*(-1+3*x+x^4-x^3-3*x^2)/(x-1)/(x^4+2*x^3-5*x^2+4*x-1) lgdogf] A114199 5.41471 [-f(x)*(f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A114199 9.80926 [-(x-1)^2/(x^4+2*x^3-5*x^2+4*x-1) ogf] A114203 10.2529 [-(x-1)^2/(2*x^2-2*x+1)/(x^2+2*x-1) ogf] A114203 11.3745 [-2*(-1+3*x+2*x^4-3*x^3-3*x^2)/(x-1)/(2*x^2-2*x+1)/(x^2+2*x-1) lgdogf] A114203 5.4841 [(2*f(x)-1)*(2*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A114208 6.69161 [-(2*x^6+2*x^5+2*x^4+2*x^3+x^2+x+1)/(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A114208 7.16756 [-2*x*(3+21*x^4+18*x^3+15*x^2+4*x^7+2*x^8+17*x^5+10*x^6+9*x)/(x-1)/(x+1)/(x^2+x+1)/(2*x^6+2*x^5+2*x^4+2*x^3+x^2+x+1) lgdogf] A114209 14.4062 [-x/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A114209 22.9045 [-x*(4+7*x+7*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A114209 35.0255 [[x^2+2*x] ogf_with_Euler_transform] A114210 6.48412 [-x*(x^6+x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A114210 6.98533 [-(1+8*x+38*x^5+43*x^4+40*x^3+4*x^8+2*x^9+25*x^6+14*x^7+23*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^5+2*x^4+2*x^3+2*x^2+2*x+1) lgdogf] A114211 15.5613 [-2*(1+x)*(x^2-4*x-2)/(x-1)/(2*x^3-6*x^2-1) lgdogf] A114211 4.70436 [(95875*f(x)+539233)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-6*x^2+f(x)-1) ogf] A114211 9.15096 [-(2*x^3-6*x^2-1)/(x-1)^4 ogf] A114215 7.34942 [-2*(1+4*x-5*x^6+6*x^4+2*x^3+3*x^5+2*x^2-4*x^7+x^9)/(x+1)/(x^2+1)/(x^2+x-1)/(x^2-x-1)/(x^3-x^2-x-1) lgdogf] A114215 9.49553 [-x*(x+1)*(x^3-x^2-x-1)/(x^2+1)/(x^2+x-1)/(x^2-x-1) ogf] A114220 10.0595 [-(2*x^3-x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A114220 18.3202 [-x*(2-x^2+4*x^3+x)/(x-1)/(x+1)/(2*x^3-x^2-x+1) lgdogf] A114239 10.4131 [-2*(9+55*x+2*x^4+27*x^3+75*x^2)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A114239 3.75563 [{(-n^2-9*n-20)*a(n+1)+(2*n^2+16*n+60)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=18,a(2)=136} ogf] A114239 5.43815 [(x^4+10*x^3+20*x^2+10*x+1)/(x-1)^8 ogf] A114240 13.6728 [-(15+68*x+8*x^3+56*x^2)/(x-1)/(2*x^3+10*x^2+8*x+1) lgdogf] A114240 3.57562 [{(-102*n^2-922*n-2060)*a(n+1)+(155*n^2+985*n+2730)*a(n+2)+(-53*n^2-357*n-594)*a(n+3),a(0)=1,a(1)=15,a(2)=94} ogf] A114240 6.57779 [-(2*x^3+10*x^2+8*x+1)/(x-1)^7 ogf] A114241 19.0616 [-2*(x+2)*(8*x+3)/(x-1)/(4*x^2+6*x+1) lgdogf] A114241 7.95544 [(4*x^2+6*x+1)/(x-1)^6 ogf] A114242 14.2573 [-(14+54*x+5*x^3+39*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A114242 3.77659 [{(-n^2-11*n-30)*a(n+1)+(2*n^2+18*n+56)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=14,a(2)=90} ogf] A114242 5.99616 [(x+1)*(x^2+5*x+1)/(x-1)^8 ogf] A114243 19.1731 [-3*(x+2)*(5*x+2)/(x-1)/(3*x^2+5*x+1) lgdogf] A114243 4.01919 [{(n+4)*a(n+4)+4*n*a(n+3)+(-40-2*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=1,a(1)=12,a(2)=66,a(3)=245} ogf] A114243 8.03837 [-(3*x^2+5*x+1)/(x-1)^7 ogf] A114244 14.9780 [-(13+48*x+4*x^3+33*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A114244 3.98724 [{(-n^2-9*n-20)*a(n+1)+(2*n^2+16*n+50)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=13,a(2)=76} ogf] A114244 6.83528 [-(x+1)*(x^2+5*x+1)/(x-1)^7 ogf] A114254 14.6208 [-(25+77*x+3*x^3+23*x^2)/(x-1)/(3*x^3+7*x^2+21*x+1) lgdogf] A114254 3.84212 [{(47*n^2+217*n+246)*a(n+1)+(74*n^2+909*n+1947)*a(n+2)+(-121*n^2-622*n-777)*a(n+3),a(0)=1,a(1)=25,a(2)=101} ogf] A114254 4.93624 [(2392576*f(x)+23678621)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-7*x^2+f(x)-21*x-1) ogf] A114254 9.55605 [(3*x^3+7*x^2+21*x+1)/(x-1)^4 ogf] A114277 3.44143 [{(-4*n^2-34*n-72)*a(n+1)+(5*n^2+44*n+93)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=5,a(2)=19} ogf] A114277 8.47480 [20-53*x+36*x^2+(-4+26*x-46*x^2+24*x^3)*f(x)+(6*x^2+4*x^4-9*x^3-x)*f(x)^2 lgdogf] A114285 14.2274 [-(3*x-1)/(x+1)/(x-1)^2 ogf] A114285 31.0735 [-2*(1+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A114285 6.73259 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=-1} ogf] A114285 6.79325 [-(108*f(x)-199)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+3*x-1) ogf] A114300 6.69800 [-(3*x^6-6*x^5-6*x^4+5*x^3-x^2-x+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A114307 12.5433 [12*(25*x^2+5*x-1)/(10*x-1) ogf] A114307 15.0095 [5*(1-10*x+50*x^2)/(10*x-1)/(25*x^2+5*x-1) lgdogf] A114307 7.04681 [{-a(n+3)+10*a(n+2),a(0)=12,a(1)=60,a(2)=300} ogf] A114307 7.37842 [-(f(x)-12)*(10*f(x)*x-300*x^2-f(x)-60*x+12) ogf] A114336 4.86577 [-(x^7+2*x^6+2*x^5-4*x^4-11*x^3-12*x^2-7*x-3)/(x^2+x+1)/(x^6-6*x^3+1) ogf] A114358 11.0220 [(60*x^3+543*x^2+320*x+1)/(x-1)^2 ogf] A114358 12.0868 [2*(-161-703*x+30*x^3-90*x^2)/(x-1)/(60*x^3+543*x^2+320*x+1) lgdogf] A114358 5.63918 [-(623237538*f(x)-220481840939)*(f(x)*x^2-60*x^3-2*f(x)*x-543*x^2+f(x)-320*x-1) ogf] A114358 5.96275 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=322,a(2)=1186,a(3)=2110} ogf] A114359 5.02073 [(268801023855507*f(x)+2997964984709372407)*(-7*x^4+f(x)*x^2-441*x^3-2*f(x)*x-2142*x^2+f(x)-841*x-1) ogf] A114359 9.59009 [(-843-5125*x+413*x^3+14*x^4-1323*x^2)/(x-1)/(7*x^4+441*x^3+2142*x^2+841*x+1) lgdogf] A114359 9.77721 [(7*x^4+441*x^3+2142*x^2+841*x+1)/(x-1)^2 ogf] A114360 4.70192 [(75448619453570220*f(x)+1400067135551055539197)*(-112*x^4+f(x)*x^2-2576*x^3-2*f(x)*x-7976*x^2+f(x)-2205*x-1) ogf] A114360 8.62309 [(-2207-18157*x+224*x^4+2128*x^3-7728*x^2)/(x-1)/(112*x^4+2576*x^3+7976*x^2+2205*x+1) lgdogf] A114360 9.22754 [(112*x^4+2576*x^3+7976*x^2+2205*x+1)/(x-1)^2 ogf] A114361 6.93578 [(-5778+27*x^5-63004*x+2061*x^4+8955*x^3-39501*x^2)/(x-1)/(9*x^5+1053*x^4+13167*x^3+28614*x^2+5776*x+1) lgdogf] A114361 7.92367 [(9*x^5+1053*x^4+13167*x^3+28614*x^2+5776*x+1)/(x-1)^2 ogf] A114364 12.2519 [2*(x+2)/(x-1)^4 ogf] A114364 36.6356 [-3*(x+3)/(x+2)/(x-1) lgdogf] A114364 4.88475 [{(-2*n-6)*a(n+3)+(11+n)*a(n+2)+(4+n)*a(n+1),a(0)=4,a(1)=18,a(2)=48} ogf] A114364 5.79354 [(16983*f(x)+78220)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-2*x-4) ogf] A114444 14.8161 [16*x*(x-3)/(x-1)^3 ogf] A114444 21.1222 [-2*(-4+x)/(-1+x)/(x-3) lgdogf] A114444 7.66796 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=48,a(2)=128} ogf] A114444 7.9468 [(f(x)+18)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-16*x^2-f(x)+48*x) ogf] A114464 6.44641 [f(x)*x^3+f(x)^2*x-3*f(x)*x^2+f(x)*x+x^2-f(x)-x+1 ogf] A114465 6.9386 [f(x)^2*x^3-f(x)^2*x^2+f(x)^2*x+f(x)*x^2-f(x)+1 ogf] A114465 7.51145 [-x*(x-1)*(x^6-3*x^4-4*x^2-1)*(x^6+x^4-2*x^2-1)/(x^4-x^2-1)/(5*x^8+5*x^6-5*x^4-5*x^2-1) revogf] A114479 13.3144 [-(4*x-3)/(8*x^2-8*x+1) ogf] A114479 13.6550 [-1/8*(-3-8*x+(9+32*x+32*x^2)^(1/2))/(1+2*x) revogf] A114479 15.0555 [-4*(5-12*x+8*x^2)/(4*x-3)/(1-8*x+8*x^2) lgdogf] A114479 6.73198 [-(7*f(x)+4)*(8*f(x)*x^2-8*f(x)*x+f(x)+4*x-3) ogf] A114479 7.21863 [{a(n+2)-8*a(n+1)+8*a(n),a(0)=3,a(1)=20} ogf] A114479 8.55923 [-(-32*x^2+48*x-20)/(-32*x^3+56*x^2-28*x+3) lgdogf] A114480 11.2123 [-1/10*(-4-15*x+(16+80*x+125*x^2)^(1/2))/(2+5*x) revogf] A114480 11.2148 [-2*(5*x-2)/(25*x^2-15*x+1) ogf] A114480 12.8531 [-25*(1-4*x+5*x^2)/(5*x-2)/(25*x^2-15*x+1) lgdogf] A114480 5.66643 [-(144*f(x)+49)*(25*f(x)*x^2-15*f(x)*x+f(x)+10*x-4) ogf] A114480 6.33306 [{a(n+2)-15*a(n+1)+25*a(n),a(0)=4,a(1)=50} ogf] A114480 7.27446 [-(-125*x^2+100*x-25)/(-125*x^3+125*x^2-35*x+2) lgdogf] A114481 4.47192 [(1669*f(x)+1357)*(108*f(x)*x^3-108*f(x)*x^2+27*f(x)*x+36*x^2-f(x)-30*x+5) ogf] A114481 4.54523 [{-a(n+3)+27*a(n+2)-108*a(n+1)+108*a(n),a(0)=5,a(1)=105,a(2)=2331} ogf] A114481 6.70898 [-3*(35-336*x+1296*x^4-2160*x^3+1296*x^2)/(-1+3*x)/(36*x^2-24*x+1)/(36*x^2-30*x+5) lgdogf] A114481 8.15468 [-(36*x^2-30*x+5)/(3*x-1)/(36*x^2-24*x+1) ogf] A114487 7.78684 [-f(x)^2*x^4-f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2+f(x)-1 ogf] A114495 6.64918 [-I/x*(x-4)/(-1+4*x)^(1/2)/(x+2)-(3*x+4)/(x+2)/x lgdogf] A114496 6.51246 [4*f(x)^3*x^2-71*f(x)^3*x+8*f(x)^3-f(x)*x-6*f(x)-2 ogf] A114507 11.5354 [-(-x^2+x)/(-x^4+x^3-1) revogf] A114507 31.6401 [-x*(x-1)/(1-x^3+x^4) revogf] A114509 12.0063 [-(-x^2+x)/(-x^5+x^4-1) revogf] A114509 32.9584 [-x*(x-1)/(1-x^4+x^5) revogf] A114515 4.22502 [-4*f(x)^2*x^4-15*f(x)^2*x^3-12*f(x)^2*x^2-4*f(x)*x^3+4*f(x)^2*x-3*f(x)*x^2-3*f(x)*x-x^2+f(x) ogf] A114540 8.40345 [-x^3*(x^17-x^16-x^9-x^7-x^5-x^2-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A114542 4.36556 [-(34335827653*f(x)-22024240)*(9389*f(x)*x^3+4691*f(x)*x^2+x^2-f(x)+x) ogf] A114542 5.11520 [{-a(n+3)+4691*a(n+1)+9389*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A114542 8.58314 [-x*(x+1)/(9389*x^3+4691*x^2-1) ogf] A114543 5.07403 [-(50464516*f(x)-197119)*(1536*f(x)*x^3+772*f(x)*x^2+x^2-f(x)+x) ogf] A114543 5.69533 [{-a(n+3)+772*a(n+1)+1536*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A114543 5.75404 [-(-3072*x^3-5380*x^2-1544*x-1)/(-1536*x^4-2308*x^3-772*x^2+x+1) lgdogf] A114543 9.31598 [-(1+1544*x+5380*x^2+3072*x^3)/(2*x+1)/(x+1)/(768*x^2+2*x-1) lgdogf] A114543 9.62314 [-x*(x+1)/(2*x+1)/(768*x^2+2*x-1) ogf] A114553 10.6781 [-x*(x+1)/(3*x+1)/(16*x^2+3*x-1) ogf] A114553 10.9061 [-(1+50*x+169*x^2+96*x^3)/(3*x+1)/(x+1)/(16*x^2+3*x-1) lgdogf] A114553 6.18208 [{-a(n+3)+25*a(n+1)+48*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A114553 6.45383 [(f(x)+1)*(48*f(x)*x^3+25*f(x)*x^2+x^2-f(x)+x) ogf] A114553 6.75055 [-(-96*x^3-169*x^2-50*x-1)/(-48*x^4-73*x^3-25*x^2+x+1) lgdogf] A114563 13.7241 [(1+4*x+8160*x^4+828*x^3+27*x^2)/(2*x^2+1+x+207*x^4+9*x^3+1632*x^5) lgdogf] A114568 11.6210 [-x*(x+1)/(2*x+1)/(4690*x^2+2*x-1) ogf] A114568 5.91067 [-(34401933242*f(x)-22005477)*(9380*f(x)*x^3+4694*f(x)*x^2+x^2-f(x)+x) ogf] A114568 6.78849 [-(-18760*x^3-32834*x^2-9388*x-1)/(-9380*x^4-14074*x^3-4694*x^2+x+1) lgdogf] A114568 6.92563 [{-a(n+3)+4694*a(n+1)+9380*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A114569 12.7673 [-1/2*(-8-5*x+((16+3*x)*(4+3*x))^(1/2))/(4*x+5) revogf] A114569 13.3258 [-(5*x-8)/(4*x-1)/(x-1) ogf] A114569 14.6824 [-(10*x-7)*(2*x-5)/(x-1)/(-1+4*x)/(5*x-8) lgdogf] A114569 6.73778 [(111*f(x)+337)*(4*f(x)*x^2-5*f(x)*x+f(x)+5*x-8) ogf] A114569 7.22484 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=8,a(1)=35} ogf] A114569 8.56660 [-(-20*x^2+64*x-35)/(-20*x^3+57*x^2-45*x+8) lgdogf] A114584 8.96679 [-f(x)^2*x^2+f(x)*x^3-f(x)*x+f(x)-1 ogf] A114587 7.84704 [-32+88*x+196*x^2+(8-66*x+108*x^2+112*x^3)*f(x)+(-15*x^2+16*x^4+24*x^3+2*x)*f(x)^2 lgdogf] A114590 8.56975 [8-16*x-100*x^2+(-4+36*x-60*x^2-80*x^3)*f(x)+(15*x^2-2*x-24*x^3-16*x^4)*f(x)^2 lgdogf] A114619 12.3857 [-2*(2+5*x+x^3-4*x^2)/(x-1)/(x+1)/(x^2-6*x+1) lgdogf] A114619 4.99192 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A114619 5.17853 [(2*f(x)+1)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+2*x^2+f(x)-2*x) ogf] A114619 7.59045 [-(-2*x^3+8*x^2-10*x-4)/(-x^4+6*x^3-6*x+1) lgdogf] A114619 9.72111 [-2*x*(x-1)/(x+1)/(x^2-6*x+1) ogf] A114620 12.5164 [2*x/(x+1)/(x^2-6*x+1) ogf] A114620 16.2971 [-(-5-10*x+3*x^2)/(1+x)/(x^2+1-6*x) lgdogf] A114620 5.02889 [{-a(n+3)+5*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=10} ogf] A114620 7.31476 [f(x)*x^3-5*f(x)*x^2-5*f(x)*x+f(x)-2*x ogf] A114620 8.66517 [-(-3*x^2+10*x+5)/(-x^3+5*x^2+5*x-1) lgdogf] A114633 3.25988 [{(n^3+15*n^2+74*n+120)*a(n+1)+(-n^3-15*n^2-74*n-120)*a(n+2)+(-6-n)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=3,a(2)=18,a(3)=70} ogf] A114633 5.19617 [(-6-30*x+x^8-3*x^6-6*x^5+21*x^4-12*x^3-13*x^2)/(-1+x)/(x+1)/(x^6-2*x^4-4*x^3+7*x^2+4*x+2) lgdegf] A114637 11.2823 [f(x)*(f(x)*x^2-2*f(x)*x+2*x^2+f(x)-3*x) ogf] A114637 18.6504 [-x*(2*x-3)/(x-1)^2 ogf] A114637 19.0389 [-(-2*x+4)/(-2*x^2+5*x-3) lgdogf] A114637 27.3029 [-1/2*(-3-2*x+(9+4*x)^(1/2))/(2+x) revogf] A114637 40.9544 [-2*(x-2)/(x-1)/(2*x-3) lgdogf] A114637 9.04820 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=3,a(2)=4} ogf] A114641 8.32849 [8-12*f(x)+6*f(x)^2-f(x)^3 lgdegf] A114646 13.1049 [-(93*x+47)/(24*x^3+21*x^2-44*x-1) lgdogf] A114646 14.5345 [(24*x^2+45*x+1)/(x-1)^2 ogf] A114646 24.5054 [-(47+93*x)/(x-1)/(24*x^2+45*x+1) lgdogf] A114646 7.61332 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=47,a(2)=117} ogf] A114646 7.99399 [(140*f(x)+2069)*(f(x)*x^2-2*f(x)*x-24*x^2+f(x)-45*x-1) ogf] A114647 11.2476 [-(3*x^2+4*x-3)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A114647 5.66483 [-(675*f(x)+182)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+3*x^2+f(x)+4*x-3) ogf] A114647 6.52476 [-2*(1+3*x+3*x^5+9*x^4+2*x^3-10*x^2)/(-1+x)/(x+1)/(x^2+2*x-1)/(3*x^2+4*x-3) lgdogf] A114650 7.67608 [-(34*x^31-34*x^30+13*x^12-13*x^11+5*x^5-5*x^4+2*x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A114688 11.0909 [-(x^2-3*x-1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A114688 5.75391 [(748*f(x)-585)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-3*x-1) ogf] A114688 7.35744 [-(5+2*x+2*x^5-7*x^4-16*x^3+2*x^2)/(-1+x)/(x+1)/(x^2+2*x-1)/(x^2-3*x-1) lgdogf] A114689 11.1894 [-(x^2-4*x-1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A114689 5.80505 [(667*f(x)-646)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-4*x-1) ogf] A114689 7.66851 [-2*(3+x+x^5-5*x^4-10*x^3+2*x^2)/(-1+x)/(x+1)/(x^2+2*x-1)/(x^2-4*x-1) lgdogf] A114693 12.3105 [-(x-2+2*(1-6*x+x^2)^(1/2))/(1-6*x+x^2)^(1/2)/x lgdogf] A114693 6.08904 [-4*f(x)^2*x^4-f(x)*x^3+f(x)*x^2-5*f(x)*x+f(x)-2 ogf] A114695 5.21526 [-(x^8-4*x^7-x^6-23*x^5+47*x^4+8*x^3+4*x^2+2*x+2)/(x-1)/(x^2+x+1)/(x^6-47*x^3+1) ogf] A114696 11.2388 [(x^2+4*x+1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A114696 5.53909 [-(17710*f(x)-6429)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-4*x-1) ogf] A114696 7.31579 [-(-2*x^5-14*x^4-20*x^3+6*x+6)/(-x^6-6*x^5-7*x^4+8*x^3+9*x^2-2*x-1) lgdogf] A114696 8.02244 [-2*(-3-3*x+x^5+7*x^4+10*x^3)/(-1+x)/(x+1)/(x^2+4*x+1)/(x^2+2*x-1) lgdogf] A114697 10.8937 [(x^2+x+1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A114697 5.36903 [-(11024*f(x)+2229)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-x-1) ogf] A114697 7.43183 [-(-3-6*x+2*x^5+5*x^4+8*x^3+6*x^2)/(-1+x)/(x+1)/(1+x^2+x)/(x^2+2*x-1) lgdogf] A114698 13.8960 [-(22*x+18)/(3*x^3+13*x^2-15*x-1) lgdogf] A114698 15.4400 [(3*x^2+16*x+1)/(x-1)^2 ogf] A114698 25.5587 [-2*(9+11*x)/(x-1)/(3*x^2+16*x+1) lgdogf] A114698 8.01693 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=18,a(2)=38} ogf] A114698 8.68501 [(10*f(x)+71)*(f(x)*x^2-2*f(x)*x-3*x^2+f(x)-16*x-1) ogf] A114703 7.25895 [x*(x^4-2*x^3-2*x^2+10*x+1)/(x^2+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A114710 12.2844 [-(-3*x^2+x)/(-2*x^2+3*x-1) revogf] A114710 24.2021 [-x*(-1+3*x)/(-1+2*x)/(x-1) revogf] A114710 3.20999 [{(2*n+4)*a(n+1)+(-9*n-36)*a(n+2)+(-16*n-53)*a(n+3)+(3*n+15)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=6} ogf] A114710 7.67383 [-1/2*(5*x-3+4*x*(x^2-6*x+1)^(1/2)+3*(x^2-6*x+1)^(1/2))/(x^2-6*x+1)^(1/2)/x/(2*x+3) lgdogf] A114710 8.29596 [-2*f(x)^2*x^2-3*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A114723 3.95984 [(1419*f(x)-811)*(f(x)*x^4+3*f(x)*x^3+3*f(x)*x^2-2*x^3+f(x)*x-f(x)+x) ogf] A114723 7.65160 [-(-1-2*x+4*x^5+6*x^4-4*x^3-11*x^2)/(2*x^2-1)/(x^4+3*x^3+3*x^2+x-1) lgdogf] A114723 7.91969 [x*(2*x^2-1)/(x^4+3*x^3+3*x^2+x-1) ogf] A114724 7.08618 [-(3*x^11+5*x^10+8*x^9+13*x^8+4*x^7+5*x^6+9*x^5+14*x^4+5*x^3+6*x^2+11*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A114725 5.77426 [x*(2*x+1)*(14*x^3+2*x-1)/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x-1) ogf] A114743 10.3423 [{a(n+3)-2*a(n),a(0)=4,a(1)=6,a(2)=10} ogf] A114743 14.4638 [-(3+10*x+10*x^4+12*x^3+12*x^2)/(5*x^2+3*x+2)/(2*x^3-1) lgdogf] A114743 15.9271 [-2*(5*x^2+3*x+2)/(2*x^3-1) ogf] A114743 7.88472 [-(-10*x^4-12*x^3-12*x^2-10*x-3)/(-10*x^5-6*x^4-4*x^3+5*x^2+3*x+2) lgdogf] A114743 9.59467 [-(180*f(x)-31)*(2*f(x)*x^3+10*x^2-f(x)+6*x+4) ogf] A114745 10.9146 [(-3-4*x-34*x^4-12*x^3+24*x^7-12*x^2)/(2*x^3-1)/(6*x^5+2*x^3+2*x^2+3*x+1) lgdogf] A114745 12.3283 [-(6*x^5+2*x^3+2*x^2+3*x+1)/(2*x^3-1) ogf] A114746 5.60008 [-(x+1)*(20*x^14+8*x^13-8*x^12-4*x^11-20*x^10+12*x^9-8*x^8+6*x^7-10*x^6+10*x^5-6*x^4+3*x^3-2*x^2+4*x+1)/(2*x^3-1) ogf] A114749 5.96163 [-(-1-2*x+45*x^6+24*x^5+18*x^7-23*x^4-34*x^3+6*x^2)/(9*x^3+3*x^2-1)/(x^3+3*x^2+2*x-1)/(x^2+x+1) lgdogf] A114749 7.03911 [x*(9*x^3+3*x^2-1)/(x^2+x+1)/(x^3+3*x^2+2*x-1) ogf] A114752 11.1341 [-(6*x^3+6*x^2+10*x+2)/(3*x^4+2*x^3-2*x^2-2*x-1) lgdogf] A114752 15.8222 [(3*x^2+2*x+1)/(x+1)^2/(x-1)^2 ogf] A114752 18.4360 [-2*(1+5*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+2*x+1) lgdogf] A114752 9.69747 [(6*f(x)+5)*(f(x)*x^4-2*f(x)*x^2-3*x^2+f(x)-2*x-1) ogf] A114753 10.0857 [-(-x^4-2*x^3-12*x^2-6*x-3)/(-x^5-x^4-2*x^3+3*x+1) lgdogf] A114753 13.8097 [(x^3+x^2+3*x+1)/(x+1)^2/(x-1)^2 ogf] A114753 16.6169 [-(3+6*x+x^4+2*x^3+12*x^2)/(x-1)/(x+1)/(x^3+x^2+3*x+1) lgdogf] A114753 8.31139 [-(87*f(x)-253)*(f(x)*x^4-2*f(x)*x^2-x^3-x^2+f(x)-3*x-1) ogf] A114775 8.42162 [-x^2*(x^2+1)*(x^7-x^4+1)/(x^6-x^4+1)/(x^6+x^4-1) ogf] A114779 11.4588 [(f(x)*x-f(x)+1)^3 egf] A114790 10.1996 [(f(x)*x-f(x)+1)^3 egf] A114796 5.68332 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 egf] A114798 9.04136 [(2*x^5-3*x^4+8*x^3+2*x+3)/(x-1)^4/(x+1)^4 ogf] A114798 9.74421 [-2*(1+12*x-6*x^5+3*x^6-6*x^3+25*x^4+19*x^2)/(x-1)/(x+1)/(2*x^5-3*x^4+8*x^3+2*x+3) lgdogf] A114801 9.35807 [(2+240*x^14+88*x^10+780*x^11-1477*x^12+369*x^13)/(x-1)/(20*x^14+59*x^13-71*x^12-8*x^11-1) lgdogf] A114803 5.34898 [-(3*x^5-x^4-4*x^2-3*x-1)/(x-1)^4/(x+1)^4 ogf] A114803 5.77441 [-(-3-16*x+9*x^6-4*x^5+15*x^4-28*x^3-21*x^2)/(-1+x)/(x+1)/(3*x^5-x^4-4*x^2-3*x-1) lgdogf] A114849 4.10843 [(58458664*f(x)+2647383)*(f(x)*x^4-3*f(x)*x^3-28*f(x)*x^2+11*f(x)*x-2*x^2-f(x)+3*x) ogf] A114849 8.58478 [x*(2*x-3)/(x^2-7*x+1)/(x^2+4*x-1) ogf] A114849 8.84677 [-(-31+168*x-29*x^2-24*x^3+6*x^4)/(2*x-3)/(x^2-7*x+1)/(x^2+4*x-1) lgdogf] A114851 6.99941 [f(x)^2*x^3-f(x)^2*x^2+f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x) ogf] A114855 9.21034 [-(-3*x^2+x-2)/(x^3-x^2+x-1) ogf_with_Euler_transform] A114855 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/3*Pi)*Pi^(3/4)/GAMMA(3/4)^3 A114878 3.79361 [-(75075631*f(x)-1302698)*(f(x)*x^4+4*f(x)*x^3-77*f(x)*x^2+18*f(x)*x+2*x^2-f(x)+4*x) ogf] A114878 8.15343 [-2*x*(x+2)/(x^2-7*x+1)/(x^2+11*x-1) ogf] A114878 8.67111 [-(37-308*x-53*x^2+16*x^3+3*x^4)/(x+2)/(x^2-7*x+1)/(x^2+11*x-1) lgdogf] A114891 6.40812 [(3*x^12+2*x^10+x^9+4*x^8+2*x^7+4*x^6+2*x^5+4*x^4+3*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A114932 5.70847 [-x^2*(56*x^3-53*x^2+8*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A114935 5.42478 [-x*(56*x^4-81*x^3+47*x^2-11*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1) ogf] A114938 4.16795 [{(n^2+7*n+12)*a(n+1)+(2*n^2+15*n+28)*a(n+2)-a(n+3),a(0)=0,a(1)=2,a(2)=30} ogf] A114948 11.7361 [-(-10*x^2+18*x-14)/(-10*x^3+29*x^2-30*x+11) lgdogf] A114948 13.0197 [-(10*x^2-19*x+11)/(x-1)^3 ogf] A114948 20.9644 [-2*(7-9*x+5*x^2)/(x-1)/(10*x^2-19*x+11) lgdogf] A114948 7.06153 [(76*f(x)-1721)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-19*x+11) ogf] A114948 7.24574 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=14,a(2)=19} ogf] A114949 12.7487 [-(-7*x^2+8*x-7)/(-7*x^3+18*x^2-17*x+6) lgdogf] A114949 13.5712 [-(7*x^2-11*x+6)/(x-1)^3 ogf] A114949 23.5910 [-(7-8*x+7*x^2)/(x-1)/(7*x^2-11*x+6) lgdogf] A114949 7.1306 [-(4*f(x)+471)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-11*x+6) ogf] A114949 7.44612 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=6,a(1)=7,a(2)=10} ogf] A114952 6.81231 [-x^2*(x^9-x^8+2*x^7-x^6+x^5-2*x^4+x^2+1)/(x^6-x^4+x^2+1)/(x^6+x^4+x^2-1) ogf] A114955 16.8455 [-x^7-x^5+x^2+x+1 ogf_with_Euler_transform] A114955 7.10832 [(-1-2*x-9*x^8-2*x^6-2*x^5+6*x^7-2*x^4-2*x^3+8*x^9-2*x^2)/(-1+x)/(x+1)/(1+x^2)/(x^2-x+1)/(1+x^4) lgdogf] A114955 7.78334 [-(x+1)*(x^2+1)*(x^2-x+1)*(x^4+1)/(x-1) ogf] A114956 6.68907 [-(x^15+x^13+x^12+x^11+x^10+x^9+x^8+2*x^7+x^6+2*x^5+x^4+x^3+x^2+1)/(x-1) ogf] A114958 10.9851 [-(4*x^2-2*x+3)/(2*x-1)/(x-1)^2 ogf] A114958 14.5916 [-2*(-5+6*x+4*x^3)/(x-1)/(2*x-1)/(4*x^2-2*x+3) lgdogf] A114958 5.63102 [(38065*f(x)-16064)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-2*x+3) ogf] A114958 5.87801 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=3,a(1)=10,a(2)=29} ogf] A114958 8.70251 [-(8*x^3+12*x-10)/(8*x^4-16*x^3+16*x^2-11*x+3) lgdogf] A114960 7.15025 [-(-1-5*x+32*x^6-68*x^5+36*x^2-72*x^3+80*x^4)/(x-1)/(2*x-1)/(2*x^2-1)/(4*x^3-5*x^2+3*x-1) lgdogf] A114960 7.47473 [-(4*x^3-5*x^2+3*x-1)/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A114962 11.9616 [-(-15*x^2+24*x-15)/(-15*x^3+42*x^2-41*x+14) lgdogf] A114962 13.2699 [-(15*x^2-27*x+14)/(x-1)^3 ogf] A114962 20.8387 [-2*(9-13*x+7*x^2)/(x-1)/(14*x^2-27*x+15) lgdogf] A114962 6.96126 [-(44*f(x)+1085)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)-27*x+14) ogf] A114962 7.38500 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=15,a(2)=18} ogf] A114963 11.6810 [-(23*x^2-40*x+23)/(23*x^3-66*x^2+65*x-22) lgdogf] A114963 12.9586 [-(23*x^2-43*x+22)/(x-1)^3 ogf] A114963 19.3738 [-2*(13-21*x+11*x^2)/(x-1)/(22*x^2-43*x+23) lgdogf] A114963 6.74267 [-(260*f(x)+8599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+23*x^2-f(x)-43*x+22) ogf] A114963 7.21172 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=22,a(1)=23,a(2)=26} ogf] A114964 11.6810 [-(31*x^2-56*x+31)/(31*x^3-90*x^2+89*x-30) lgdogf] A114964 12.9586 [-(31*x^2-59*x+30)/(x-1)^3 ogf] A114964 18.9958 [-2*(17-29*x+15*x^2)/(x-1)/(30*x^2-59*x+31) lgdogf] A114964 6.91124 [(388*f(x)+16503)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31*x^2-f(x)-59*x+30) ogf] A114964 7.21172 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=31,a(2)=34} ogf] A114965 11.1423 [-(34*x^2-66*x+38)/(34*x^3-101*x^2+102*x-35) lgdogf] A114965 12.7092 [-(34*x^2-67*x+35)/(x-1)^3 ogf] A114965 18.9958 [-2*(19-33*x+17*x^2)/(x-1)/(34*x^2-67*x+35) lgdogf] A114965 6.66713 [-(44*f(x)+5855)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+34*x^2-f(x)-67*x+35) ogf] A114965 7.07296 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=35,a(1)=38,a(2)=43} ogf] A114982 15.5753 [x*(x^2-3)/(3*x-1) ogf] A114982 21.6832 [(9-2*x+3*x^2)/(3*x-1)/(x^2-3) lgdogf] A114982 6.65196 [{-a(n+4)+3*a(n+3),a(0)=0,a(1)=3,a(2)=9,a(3)=26} ogf] A114982 9.53115 [-f(x)*(-x^3+3*f(x)*x-f(x)+3*x) ogf] A114982 9.97794 [-(3*x^2-2*x+9)/(-3*x^3+x^2+9*x-3) lgdogf] A114984 12.3414 [(43*x^2-x+200)/(x+1)/(x-1)^2 ogf] A114984 14.6190 [-(199+685*x+43*x^3+41*x^2)/(x-1)/(x+1)/(43*x^2-x+200) lgdogf] A114984 5.68239 [-(9249574444*f(x)+3053646790485)*(f(x)*x^3-f(x)*x^2-f(x)*x-43*x^2+f(x)+x-200) ogf] A114984 6.69366 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=200,a(1)=199,a(2)=442} ogf] A114984 8.67969 [-(-43*x^3-41*x^2-685*x-199)/(-43*x^4+x^3-157*x^2-x+200) lgdogf] A115006 13.1263 [-(-6*x^2-16*x-8)/(-2*x^3-3*x^2+2*x+3) lgdogf] A115006 14.9685 [-x*(2*x+3)/(x+1)/(x-1)^3 ogf] A115006 23.3725 [-2*(x+2)*(3*x+2)/(x-1)/(2*x+3)/(x+1) lgdogf] A115006 4.33100 [{(-9-3*n)*a(n+4)+(4-2*n)*a(n+3)+(19+3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=3,a(2)=8,a(3)=16} ogf] A115006 7.61791 [(975*f(x)-6113)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+3*x) ogf] A115007 9.29713 [-(16+62*x+9*x^6+48*x^5+107*x^4+144*x^3+118*x^2)/(x-1)/(x+1)/(x^2+x+1)/(3*x^3+9*x^2+10*x+6) lgdogf] A115007 9.42686 [-x*(3*x^3+9*x^2+10*x+6)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A115008 10.5965 [-(x^3+2*x^2-x+1)/(x^2+1)/(x^2+x-1) ogf] A115008 12.4180 [-x*(4+x^5-x^3+4*x^4+4*x)/(x^2+1)/(x^2+x-1)/(x^3+2*x^2-x+1) lgdogf] A115008 5.84924 [(2060*f(x)-3093)*(f(x)*x^4+f(x)*x^3+x^3+f(x)*x+2*x^2-f(x)-x+1) ogf] A115012 7.34034 [-(x^8+2*x^7+3*x^6+4*x^5+4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A115014 9.69629 [-(x^2+1)*(x^8-x^6+6*x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A115015 5.69822 [-(x^12+2*x^11+3*x^10+4*x^9+5*x^8+6*x^7+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A115032 10.4776 [-(x^2-14*x+5)/(x-1)/(x^2-18*x+1) ogf] A115032 5.36453 [(8811420*f(x)+283321)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)-14*x+5) ogf] A115032 5.68276 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=5,a(1)=81,a(2)=1445} ogf] A115032 6.15198 [-(-x^4+28*x^3-262*x^2+188*x-81)/(-x^5+33*x^4-290*x^3+362*x^2-109*x+5) lgdogf] A115032 8.18361 [-(81-188*x-28*x^3+x^4+262*x^2)/(x-1)/(x^2-18*x+1)/(x^2-14*x+5) lgdogf] A115036 4.23836 [-2*(x^25+x^22-x^21+x^19-x^18+x^16-x^15+x^13-x^12+x^10+x^8+2*x^7-2*x^6-x^5-x^4-2*x^3-2*x^2-2*x-3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A115046 13.1230 [2*x*(-6-6*x^4+3*x^5+9*x-4*x^2+36*x^3)/(x-1)/(x+1)/(1+x^2)/(x^4-6*x^3+1) lgdogf] A115046 7.27613 [(x^4-6*x^3+1)*(x^2+1)^2/(x-1)^4/(x+1)^4 ogf] A115046 8.58583 [-(-6*x^6+12*x^5-72*x^4+8*x^3-18*x^2+12*x)/(x^8-6*x^7+6*x^3-1) lgdogf] A115052 11.8186 [1/(3*x^2-3*x+1)^2 ogf] A115052 12.3010 [-(6-12*x)/(-3*x^2+3*x-1) lgdogf] A115052 3.93952 [{(n+3)*a(n+3)+(-12-3*n)*a(n+2)+(15+3*n)*a(n+1),a(0)=1,a(1)=6,a(2)=21} ogf] A115052 4.86085 [-(f(x)-20)*(9*f(x)*x^4-18*f(x)*x^3+15*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A115053 13.2610 [x*(x+3)^2/(3*x+1)^2 ogf] A115053 19.8916 [-16/(3*x^2+10*x+3) lgdogf] A115053 46.1884 [-16/(x+3)/(3*x+1) lgdogf] A115053 6.51620 [{a(n+4)+6*a(n+3)+9*a(n+2),a(0)=0,a(1)=9,a(2)=-48,a(3)=208} ogf] A115053 7.33863 [-(17*f(x)+27)*(9*f(x)*x^2-x^3+6*f(x)*x-6*x^2+f(x)-9*x) ogf] A115054 26.1243 [2*(x+2)^2*(x-1)^2/(x^3+6*x+2)/(x^2+x+1) lgdogf] A115054 9.22321 [-(2*x^4+4*x^3-6*x^2-8*x+8)/(-x^5-x^4-7*x^3-8*x^2-8*x-2) lgdogf] A115054 9.22321 [(x^3+6*x+2)^2/(x^2+x+1)^2 ogf] A115055 13.9603 [-3*x^2*(2*x+1)*(x+1)^2/(x^2+x-1)/(x^4+2*x^3+2*x^2+x+1) lgdogf] A115055 14.2937 [-x/(x^2+x-1)/(x^4+2*x^3+2*x^2+x+1) ogf] A115055 8.05923 [-(-6*x^5-15*x^4-12*x^3-3*x^2)/(-x^6-3*x^5-3*x^4-x^3+1) lgdogf] A115056 14.4142 [-(4*x+11)/(x^2+x-2) lgdogf] A115056 33.4666 [-(11+4*x)/(x+2)/(x-1) lgdogf] A115056 4.61631 [{2*n*a(n+3)+(-10-n)*a(n+2)+(-n-2)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=48} ogf] A115056 8.71969 [-24*x^3*(x+2)/(x-1)^5 ogf] A115059 11.9591 [-(1+3*x^6+x^4+2*x^3+6*x^5+7*x^2)/(x^2+1)/(x^2+x-1)/(x^3+x^2+1) lgdogf] A115059 8.05208 [-x^2*(x^3+x^2+1)/(x^2+x-1)/(x^2+1)^2 ogf] A115067 14.4748 [x*(x-4)/(x-1)^3 ogf] A115067 16.8381 [-(-2*x+11)/(-x^2+5*x-4) lgdogf] A115067 36.9723 [-(-11+2*x)/(x-1)/(x-4) lgdogf] A115067 7.30147 [(1107*f(x)-3367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+4*x) ogf] A115067 7.36666 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=11} ogf] A115098 10.6722 [3*f(x)*x^2-4*f(x)*x+f(x)+5*x-2 ogf] A115098 14.9411 [-(5*x-2)/(3*x-1)/(x-1) ogf] A115098 17.3465 [-3*(1-4*x+5*x^2)/(x-1)/(3*x-1)/(5*x-2) lgdogf] A115098 19.9748 [-(-1-2*x+(1-x+x^2)^(1/2))/(5+3*x) revogf] A115098 8.19940 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=2,a(1)=3} ogf] A115098 9.74422 [-(15*x^2-12*x+3)/(15*x^3-26*x^2+13*x-2) lgdogf] A115099 11.9959 [-(-6*x^2+6*x-2)/(-6*x^3+11*x^2-6*x+1) lgdogf] A115099 17.2336 [-2*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(2*x-1) lgdogf] A115099 17.3274 [-4*(2*x-1)/(3*x-1)/(x-1) ogf] A115099 8.56853 [-(13*f(x)+12)*(3*f(x)*x^2-4*f(x)*x+f(x)+8*x-4) ogf] A115099 9.50896 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=4,a(1)=8} ogf] A115102 11.7510 [-(-6*x^2-4*x-4)/(-6*x^3-5*x^2+2*x+1) lgdogf] A115102 16.7126 [-2*(3*x+1)/(x+1)/(2*x-1) ogf] A115102 19.4264 [-2*(2+2*x+3*x^2)/(2*x-1)/(1+3*x)/(x+1) lgdogf] A115102 19.9514 [1/4*(-2-x+(4+28*x+9*x^2)^(1/2))/(x+3) revogf] A115102 8.26445 [-(17*f(x)+94)*(2*f(x)*x^2+f(x)*x-f(x)+6*x+2) ogf] A115102 9.17154 [{a(n+2)-a(n+1)-2*a(n),a(0)=2,a(1)=8} ogf] A115106 5.59679 [4*(-1+2*x+224*x^7+17*x^2-128*x^3+326*x^4-224*x^5-176*x^6)/(-1+2*x)/(4*x^2+2*x-1)/(56*x^5-88*x^4+20*x^3+4*x^2-1) lgdogf] A115106 8.34367 [-(56*x^5-88*x^4+20*x^3+4*x^2-1)/(2*x-1)/(4*x^2+2*x-1) ogf] A115108 6.03923 [-(9520*x^9-11504*x^8+2840*x^7-1040*x^6+248*x^5+36*x^4-1)/(2*x-1)/(4*x^2+2*x-1) ogf] A115109 5.60430 [-(3100*x^8-3596*x^7+854*x^6-268*x^5-6*x^4+22*x^3-4*x^2+2*x-1)/(2*x-1)/(4*x^2+2*x-1) ogf] A115110 20.0502 [-(-2*x-3)/(x^2-1) ogf_with_Euler_transform] A115110 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*Pi^(1/2)*2^(3/8)/GAMMA(3/4)^2 A115112 4.04848 [4*f(x)^2*x^4-9*f(x)^2*x^3+6*f(x)^2*x^2-8*f(x)*x^3-f(x)^2*x+2*f(x)*x^2+8*f(x)*x+4*x^2-2*f(x)+8*x ogf] A115113 12.9029 [2*(8*x^2-1)/(x+1)/(4*x-1) ogf] A115113 16.2162 [(3-8*x+24*x^2)/(-1+4*x)/(x+1)/(8*x^2-1) lgdogf] A115113 6.26353 [{a(n+3)-3*a(n+2)-4*a(n+1),a(0)=2,a(1)=6,a(2)=10} ogf] A115113 8.23282 [(61*f(x)-284)*(4*f(x)*x^2+3*f(x)*x-16*x^2-f(x)+2) ogf] A115113 8.48874 [-(24*x^2-8*x+3)/(-32*x^4-24*x^3+12*x^2+3*x-1) lgdogf] A115125 12.2473 [-1/2*(-8*x+1+3*(-8*x+1)^(1/2))/(x+1)/(8*x-1) lgdogf] A115125 18.3707 [2*x+2-3*f(x)+f(x)^2 ogf] A115125 5.74019 [{(-8*n+4)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=2} ogf] A115129 13.2518 [-(-56+100*x+15*x^3-65*x^2)/(x-1)/(5*x^3-20*x^2+28*x-14) lgdogf] A115129 4.03841 [{(n^2+15*n+44)*a(n+1)+(-2*n^2-26*n-68)*a(n+2)+(n^2+11*n+24)*a(n+3),a(0)=14,a(1)=56,a(2)=146} ogf] A115129 7.50574 [-(5*x^3-20*x^2+28*x-14)/(x-1)^6 ogf] A115129 8.34908 [-(-15*x^3+65*x^2-100*x+56)/(-5*x^4+25*x^3-48*x^2+42*x-14) lgdogf] A115130 3.76811 [{(n^2+17*n+52)*a(n+1)+(-2*n^2-29*n-79)*a(n+2)+(n^2+12*n+27)*a(n+3),a(0)=42,a(1)=174,a(2)=471} ogf] A115130 5.80917 [-(14*x^4-70*x^3+135*x^2-120*x+42)/(x-1)^7 ogf] A115130 9.23465 [-(174-450*x+42*x^4-224*x^3+465*x^2)/(x-1)/(14*x^4-70*x^3+135*x^2-120*x+42) lgdogf] A115132 3.69142 [{(n^2+19*n+60)*a(n+1)+(-2*n^2-32*n-90)*a(n+2)+(n^2+13*n+30)*a(n+3),a(0)=132,a(1)=561,a(2)=1562} ogf] A115132 4.89572 [-(42*x^5-252*x^4+616*x^3-770*x^2+495*x-132)/(x-1)^8 ogf] A115132 6.97760 [-(-561+1925*x-798*x^4+2072*x^3+126*x^5-2772*x^2)/(x-1)/(42*x^5-252*x^4+616*x^3-770*x^2+495*x-132) lgdogf] A115133 3.36153 [{(n^2+21*n+68)*a(n+1)+(-2*n^2-35*n-101)*a(n+2)+(n^2+14*n+33)*a(n+3),a(0)=429,a(1)=1859,a(2)=5291} ogf] A115133 3.80437 [-(132*x^6-924*x^5+2730*x^4-4368*x^3+4004*x^2-2002*x+429)/(x-1)^9 ogf] A115133 5.10080 [-(1859-8008*x+14924*x^2-15288*x^3+9030*x^4-2904*x^5+396*x^6)/(x-1)/(132*x^6-924*x^5+2730*x^4-4368*x^3+4004*x^2-2002*x+429) lgdogf] A115135 6.03243 [x*(92*x^5+433*x^4+92*x^3-444*x^2-1299*x-108)/(x-1)/(x^6-6*x^3+1) ogf] A115137 5.46307 [-f(x)^2*x^2-f(x)^2*x+4*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+4*x-1 ogf] A115138 6.53228 [-f(x)^2*x^2-f(x)^2*x+8*f(x)*x^2-6*f(x)*x-16*x^2+f(x)+8*x-1 ogf] A115140 11.6627 [-2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115140 18.9125 [-x+f(x)-f(x)^2 ogf] A115140 22.1829 [x*hypergeom([1/3,2/3],[3/2],27/4*x) revogf] A115140 7.28919 [{(-4*n+2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=-1} ogf] A115141 11.6627 [-4/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115141 11.8604 [f(x)^2+2*f(x)*x+x^2-f(x) ogf] A115141 6.03243 [{(-4*n-2)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=-2,a(2)=-1} ogf] A115142 11.3850 [-6/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115142 11.578 [-x^3-f(x)^2-3*f(x)*x+f(x) ogf] A115142 22.3453 [-6/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115142 4.91440 [{(4*n^2-2*n)*a(n+1)+(-n^2-n+2)*a(n+2),a(0)=1,a(1)=-3,a(2)=0,a(3)=-1} ogf] A115143 12.0662 [-8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115143 23.5711 [-8/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115143 4.79450 [{(-4*n^2+6*n-2)*a(n+1)+(n^2-4)*a(n+2),a(0)=1,a(1)=-4,a(2)=2,a(3)=0,a(4)=-1} ogf] A115143 9.40219 [x^4-2*f(x)*x^2+f(x)^2+4*f(x)*x-f(x) ogf] A115144 11.4819 [-10/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115144 22.2242 [-10/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115144 4.19400 [{(-4*n^2+10*n-6)*a(n+1)+(n^2-n-6)*a(n+2),a(0)=1,a(1)=-5,a(2)=5,a(3)=0,a(4)=0,a(5)=-1} ogf] A115145 12.0436 [-12/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115145 23.3225 [-12/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115145 4.08144 [{(4*n^2-14*n+12)*a(n+1)+(-n^2+2*n+8)*a(n+2),a(0)=1,a(1)=-6,a(2)=9,a(3)=-2,a(4)=0,a(5)=0,a(6)=-1} ogf] A115146 11.5418 [-14/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115146 22.4479 [-14/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115146 3.64792 [{(4*n^2-18*n+20)*a(n+1)+(-n^2+3*n+10)*a(n+2),a(0)=1,a(1)=-7,a(2)=14,a(3)=-7,a(4)=0,a(5)=0,a(6)=0,a(7)=-1} ogf] A115147 11.1515 [-16/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115147 21.6705 [-16/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115148 10.5939 [-18/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115148 20.6987 [-18/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115149 11.2590 [-20/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A115149 21.3670 [100+(10-40*x)*f(x)+(-x+4*x^2)*f(x)^2 lgdogf] A115150 4.8411 [f(x)^2*x^4+f(x)^2*x^3-2*f(x)*x^3-8*f(x)*x^2+8*f(x)*x+x^2-f(x)+7*x+1 ogf] A115164 11.8883 [(24*x^2+2*x-3)/(x+1)/(4*x-1) ogf] A115164 13.9834 [(7-24*x+64*x^2)/(-1+4*x)/(x+1)/(24*x^2+2*x-3) lgdogf] A115164 6.29378 [{a(n+3)-3*a(n+2)-4*a(n+1),a(0)=3,a(1)=7,a(2)=9} ogf] A115164 6.48451 [-(3*f(x)-58)*(4*f(x)*x^2+3*f(x)*x-24*x^2-f(x)-2*x+3) ogf] A115164 8.23033 [-(64*x^2-24*x+7)/(-96*x^4-80*x^3+30*x^2+11*x-3) lgdogf] A115178 11.497 [-f(x)^2*x^3-f(x)^2*x^2+f(x)-1 ogf] A115178 13.3567 [1/2*(-x^2-1+(1+x)^(1/2)*(x^3+3*x^2-x+1)^(1/2))/x^2 revogf] A115180 4.72449 [(x^2+x+1)*(x^2-x+1)*(x^13+x^12+x^8+x^7+x^4+x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A115188 5.45959 [-f(x)^2*x^3-2*f(x)^2*x^2+4*f(x)*x^2-9*f(x)*x+f(x)-4*x-1 ogf] A115188 9.27961 [1/2*(-1-9*x-2*x^2+((4*x^2+32*x+1)*(1+x)^2)^(1/2))/(x-2)^2 revogf] A115189 4.4033 [f(x)^2*x^4+2*f(x)^2*x^3-4*f(x)*x^3-18*f(x)*x^2+12*f(x)*x+4*x^2-f(x)+28*x+1 ogf] A115194 6.08607 [-4*f(x)^2*x^4-4*f(x)^2*x^3+4*f(x)*x^2-7*f(x)*x+f(x)-1 ogf] A115197 13.9287 [-(-1+8*x+3*(-8*x+1)^(1/2))/(1+x)/(8*x-1) lgdogf] A115197 15.0580 [1/2*(5-2*x+3*(1-4*x)^(1/2))*x/(2+x)^2 revogf] A115197 3.77036 [{(8*n+20)*a(n+1)+(7*n+8)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A115197 6.25633 [-f(x)^2*x^2-2*f(x)^2*x-f(x)^2-4*f(x)*x+5*f(x)-4 ogf] A115197 8.37243 [-(8*x-1+3*(-8*x+1)^(1/2))/(8*x^2+7*x-1) lgdogf] A115202 9.90917 [36+50*x+(-4+27*x+40*x^2)*f(x)+(7*x^2+8*x^3-x)*f(x)^2 lgdogf] A115203 10.2489 [55+72*x+(-5+34*x+48*x^2)*f(x)+(7*x^2+8*x^3-x)*f(x)^2 lgdogf] A115204 10.5320 [78+98*x+(-6+41*x+56*x^2)*f(x)+(7*x^2+8*x^3-x)*f(x)^2 lgdogf] A115205 10.6950 [x*(1+9*x^9)/(1+x+10*x^9+9*x^10) revogf] A115205 4.27610 [(3*x^2-3*x+1)*(3*x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1)/(x-1)^10 ogf] A115217 10.5661 [-1/(2*x-1)/(x-1)/(x^2+x+1)/(2*x^2-1) ogf] A115217 9.89797 [-(2+4*x-10*x^4-8*x^3+24*x^5-9*x^2)/(x-1)/(2*x-1)/(x^2+x+1)/(2*x^2-1) lgdogf] A115219 12.0471 [2*x^2*(x-1)/(2*x^3-2*x^2+3*x-1) ogf] A115219 14.8573 [-2*(-1+2*x+2*x^3-4*x^2)/(x-1)/(2*x^3-2*x^2+3*x-1) lgdogf] A115219 5.65288 [{a(n+4)-3*a(n+3)+2*a(n+2)-2*a(n+1),a(0)=0,a(1)=0,a(2)=2,a(3)=4} ogf] A115219 6.62048 [(f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+2*x^2-f(x)) ogf] A115219 9.18592 [-(-4*x^3+8*x^2-4*x+2)/(-2*x^4+4*x^3-5*x^2+4*x-1) lgdogf] A115220 10.2036 [x^4*(2*x^2+2*x-1)/(2*x^6+2*x^5-x^4+4*x-1) ogf] A115220 9.82096 [-2*(-1+2*x+16*x^6-8*x^4+2*x^3+8*x^7-4*x^2)/(2*x^2+2*x-1)/(2*x^6+2*x^5-x^4+4*x-1) lgdogf] A115235 4.15399 [-(2*x^17+2*x^16+x^15+x^14+x^13+2*x^12+2*x^10+x^9+2*x^8+x^7+2*x^6+2*x^4+x^3+x^2+x+2)/(-x^18+1) ogf_with_Euler_transform] A115238 5.95350 [-(x^4+2*x^3+2*x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^5 ogf] A115238 7.99225 [-(3+12*x+16*x^6+27*x^4+32*x^3+26*x^5+18*x^2+6*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+2*x^2+x+1) lgdogf] A115243 11.2626 [2*x*(2*x+1)/(x-1)/(4*x-1)/(x+1) ogf] A115243 12.6486 [-2*(-3-x+8*x^3+5*x^2)/(x-1)/(-1+4*x)/(1+2*x)/(x+1) lgdogf] A115243 5.73184 [{-a(n+3)+4*a(n+2)+a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=12} ogf] A115243 7.12518 [(3*f(x)+1)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x-4*x^2+f(x)-2*x) ogf] A115243 7.82885 [-(16*x^3+10*x^2-2*x-6)/(8*x^4+2*x^3-9*x^2-2*x+1) lgdogf] A115256 8.40253 [-(2+4*x-16*x^4-14*x^3+72*x^5-21*x^2)/(x-1)/(1+2*x)/(2*x-1)/(-1+4*x)/(x^2+x+1) lgdogf] A115257 3.01673 [{(16*n^2+80*n+100)*a(n+1)+(-17*n^2-86*n-109)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=5,a(2)=41} ogf] A115264 11.7344 [-(1+6*x+13*x^4+18*x^3+12*x^5+10*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A115264 23.8138 [x^3+x^2+2*x+1 ogf_with_Euler_transform] A115264 7.59653 [-1/(x^2+x+1)/(x^2+1)/(x+1)^3/(x-1)^5 ogf] A115266 10.8741 [-(-10*x^3-12*x^2-6*x-2)/(-x^4-x^3+x+1) lgdogf] A115266 13.8738 [-1/(x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A115266 14.3506 [a(n+4)+a(n+3)-a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=8,a(3)=4 lgdogf] A115266 32.0074 [2*x^2+x+2 ogf_with_Euler_transform] A115269 13.9165 [-(-12*x^3-2*x^2-4*x-2)/(-x^4+1) lgdogf] A115269 15.3185 [-2*(1+2*x+x^2+6*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A115269 29.1216 [[2*x^3+x+2] ogf_with_Euler_transform] A115269 9.32866 [-1/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A115270 13.0460 [x^7+x^3+x^2+x+1 ogf_with_Euler_transform] A115270 5.18429 [-(1+4*x+19*x^8+8*x^6+14*x^5+22*x^7+12*x^4+14*x^3+18*x^9+8*x^2)/(-1+x)/(x+1)/(1+x^2)/(x^2+x+1)/(x^4+1) lgdogf] A115270 5.72838 [-1/(x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A115271 11.9806 [-2*(1+x+x^2+7*x^3+x^4+x^5+x^6+3*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A115271 26.8401 [-x^7+3*x^3+2 ogf_with_Euler_transform] A115271 7.98371 [(x^4+1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A115271 8.41295 [-(-6*x^7-2*x^6-2*x^5-2*x^4-14*x^3-2*x^2-2*x-2)/(-x^8+1) lgdogf] A115273 12.2327 [-(-10*x^3-6*x^2-2)/(-2*x^4-x^3+2*x+1) lgdogf] A115273 14.8080 [x^4*(2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A115273 21.8838 [-2*(1+5*x^3+3*x^2)/(x-1)/(2*x+1)/(x^2+x+1) lgdogf] A115274 10.6824 [-(2+6*x+9*x^5+6*x^6+12*x^4+22*x^3+15*x^2)/(x-1)/(x^2+x+1)/(3*x^4+3*x^3+3*x^2+2*x+1) lgdogf] A115274 12.3793 [(3*x^4+3*x^3+3*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A115283 9.06565 [-(2*x+1)*(2*x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A115283 9.09654 [-3*(1+4*x+11*x^2+14*x^3+12*x^4+8*x^5+4*x^6)/(x-1)/(2*x+1)/(x+1)/(1+x+x^2)/(2*x^2+1) lgdogf] A115285 14.1773 [-(x^2+2*x+3)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A115285 24.4003 [-2*x^3+x^2+x+3 ogf_with_Euler_transform] A115285 8.01484 [-(x+1)*(x^2+1)^2/(x^2+x+1)/(x-1)^3 ogf] A115285 8.34535 [-(3*x^4+8*x^3+14*x^2+8*x+3)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A115286 11.6970 [-2*(5+17*x+3*x^4+36*x^3+44*x^2)/(x-1)/(2*x^4+16*x^3+8*x^2+3*x+1) lgdogf] A115286 6.32427 [-4*x*(2*x^4+16*x^3+8*x^2+3*x+1)/(x-1)^7 ogf] A115286 7.51398 [-(6*x^4+72*x^3+88*x^2+34*x+10)/(2*x^5+14*x^4-8*x^3-5*x^2-2*x-1) lgdogf] A115291 10.3260 [{a(n+4)-a(n+3),a(0)=1,a(1)=4,a(2)=7,a(3)=8} ogf] A115291 11.3942 [(321*f(x)-236)*(x^3+f(x)*x+3*x^2-f(x)+3*x+1) ogf] A115291 18.7036 [-(x+1)^3/(x-1) ogf] A115291 22.5294 [-(2*x-4)/(-x^2+1) lgdogf] A115291 47.1074 [[4-3*x] ogf_with_Euler_transform] A115291 51.1936 [2*(x-2)/(x-1)/(x+1) lgdogf] A115293 17.5551 [-(2*x-8)/(-x^2+1) lgdogf] A115293 36.5375 [[8-5*x] ogf_with_Euler_transform] A115293 39.8720 [2*(x-4)/(x-1)/(x+1) lgdogf] A115293 5.72165 [{(n+3)*a(n+3)-8*a(n+2)+(1-n)*a(n+1),a(0)=1,a(1)=8,a(2)=31} ogf] A115293 8.87843 [-(x+1)^5/(x-1)^3 ogf] A115294 13.3678 [(3*x^2+2*x+1)*(x^3-x^2-2*x-4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A115294 24.2242 [-3*x^3+x^2+x+4 ogf_with_Euler_transform] A115294 6.43211 [-(x+1)^2*(x^2+1)^3/(x^2+x+1)/(x-1)^3 ogf] A115295 12.6824 [(15*x^3+33*x^2+15*x+1)/(x-1)^2 ogf] A115295 15.0256 [(-17-81*x+15*x^3-45*x^2)/(x-1)/(15*x^3+33*x^2+15*x+1) lgdogf] A115295 6.70803 [-(1744352*f(x)-11136321)*(f(x)*x^2-15*x^3-2*f(x)*x-33*x^2+f(x)-15*x-1) ogf] A115295 6.87858 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=17,a(2)=66,a(3)=130} ogf] A115295 9.22355 [-(-15*x^3+45*x^2+81*x+17)/(15*x^4+18*x^3-18*x^2-14*x-1) lgdogf] A115302 7.72521 [(-4-2*x^6-11*x^5+9*x^3+4*x^8-2*x^7+5*x^4-17*x^2)/(x-1)/(x^2+x+1)/(2*x^6-5*x^4+4*x^3-2*x^2+3*x+1) lgdogf] A115302 8.91992 [(2*x^6-5*x^4+4*x^3-2*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A115309 4.72685 [(8*x^17-2*x^16-2*x^15-2*x^14-2*x^13-2*x^12-2*x^11-2*x^10-2*x^9+9*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A115315 3.71221 [x^2*(x^8-2*x^6+x^5+2*x^4-x^3-x^2+1)/(x-1)/(x+1)/(x^2+x-1)/(x^4-x^3+x^2-x+1)/(x^8-x^6+x^4-x^2+1) ogf] A115326 15.8970 [-(-1-6*x+8*x^2)/(2*x+1)/(-1+2*x)^2 lgdegf] A115326 8.62595 [-(8*x^2-6*x-1)/(8*x^3-4*x^2-2*x+1) lgdegf] A115327 124.165 [1+3*x lgdegf] A115327 5.36753 [{(3*n+6)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=4} ogf] A115328 14.5596 [-(-1-12*x+27*x^2)/(3*x+1)/(-1+3*x)^2 lgdegf] A115328 7.99219 [-(27*x^2-12*x-1)/(27*x^3-9*x^2-3*x+1) lgdegf] A115329 5.10808 [{(4*n+8)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=5} ogf] A115329 59.0389 [1+4*x-f(x) lgdegf] A115330 15.5827 [-(-1-20*x+64*x^2)/(4*x+1)/(-1+4*x)^2 lgdegf] A115330 8.41629 [-(64*x^2-20*x-1)/(64*x^3-16*x^2-4*x+1) lgdegf] A115331 125.496 [1+5*x lgdegf] A115331 5.37685 [{(5*n+10)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=6} ogf] A115332 14.0940 [-(-1-30*x+125*x^2)/(5*x+1)/(5*x-1)^2 lgdegf] A115332 7.40677 [-(-125*x^2+30*x+1)/(-125*x^3+25*x^2+5*x-1) lgdegf] A115335 13.0509 [(4*x^4+2*x^3+10*x^2-2*x-3)/(x+1)/(2*x-1) ogf] A115335 6.67356 [-(11014*f(x)-50071)*(-4*x^4+2*f(x)*x^2-2*x^3+f(x)*x-10*x^2-f(x)+2*x+3) ogf] A115335 7.25050 [{a(n+5)-a(n+4)-2*a(n+3),a(0)=3,a(1)=5,a(2)=1,a(3)=9,a(4)=7} ogf] A115335 7.80823 [-(-16*x^5-16*x^4+12*x^3-8*x^2+8*x-5)/(8*x^6+8*x^5+18*x^4+4*x^3-18*x^2-x+3) lgdogf] A115339 12.6529 [-(1+4*x+7*x^2+2*x^6+2*x^5+4*x^3+x^4)/(2*x^3+x^2+x+1)/(x^4+x^2-1) lgdogf] A115339 12.6990 [-(2*x^3+x^2+x+1)/(x^4+x^2-1) ogf] A115339 7.8613 [-(2*f(x)+3)*(f(x)*x^4+f(x)*x^2+2*x^3+x^2-f(x)+x+1) ogf] A115341 10.5410 [-(-6*x^2+4*x-2)/(8*x^4+2*x^3-7*x^2+1) lgdogf] A115341 13.5242 [2*(4*x^2-x-1)/(x+1)/(2*x-1) ogf] A115341 17.2267 [2*(1-2*x+3*x^2)/(2*x-1)/(x+1)/(4*x^2-x-1) lgdogf] A115341 7.09688 [{a(n+3)-a(n+2)-2*a(n+1),a(0)=2,a(1)=4,a(2)=0} ogf] A115341 7.38953 [-(f(x)-2)*(2*f(x)*x^2+f(x)*x-8*x^2-f(x)+2*x+2) ogf] A115342 12.0594 [(60*x^2-60*x-1)/(x-1)/(2*x-1)^2 ogf] A115342 13.3288 [-(65-6*x+120*x^3-180*x^2)/(x-1)/(2*x-1)/(-1+60*x^2-60*x) lgdogf] A115342 6.2274 [(16380*f(x)-968423)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-60*x^2-f(x)+60*x+1) ogf] A115342 6.60645 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=65,a(2)=257} ogf] A115342 8.25807 [-(-120*x^3+180*x^2+6*x-65)/(-120*x^4+300*x^3-238*x^2+57*x+1) lgdogf] A115344 9.96351 [-f(x)^3*x+f(x)^2+f(x)*x+f(x)+x ogf] A115357 4.49598 [-(29*f(x)-36)*(f(x)*x^4+f(x)*x^3-f(x)*x+2*x^2-f(x)+2*x+1) ogf] A115357 8.62344 [-(2*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x+1) ogf] A115357 8.86324 [-(1+4*x+4*x^5+8*x^4+8*x^3+5*x^2)/(-1+x)/(x+1)/(1+x^2+x)/(2*x^2+2*x+1) lgdogf] A115360 14.9649 [-1/(x-1)/(x^2+x+1)/(x+1) ogf] A115360 19.2257 [-(-1+4*x^3+3*x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A115360 22.0854 [x^2+x-1 ogf_with_Euler_transform] A115360 4.50163 [{a(n+4)+a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=0} ogf] A115360 5.37573 [-(f(x)+1)*(f(x)*x^4+f(x)*x^3-f(x)*x-f(x)+1) ogf] A115375 10.3158 [-(1+8*x+9*x^6-6*x^4+6*x^3+10*x^2+8*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^2+1) lgdogf] A115375 15.2705 [-x^11+x^5+x^3+x^2+3*x+1 ogf_with_Euler_transform] A115375 5.48708 [(x^4-x^2+1)/(x^2+x+1)/(x+1)^4/(x-1)^6 ogf] A115376 10.4444 [-(-12*x^3-13*x^2-10*x-1)/(-x^4-x^3+x+1) lgdogf] A115376 17.0709 [-(1+10*x+12*x^3+13*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A115376 31.1427 [x^2+4*x+1 ogf_with_Euler_transform] A115376 6.75282 [1/(x^2+x+1)/(x+1)^4/(x-1)^6 ogf] A115390 10.2049 [-(-6*x^2+8*x-4)/(-2*x^3+4*x^2-4*x+1) lgdogf] A115390 15.9295 [-x^2/(2*x^3-4*x^2+4*x-1) ogf] A115390 17.4715 [-2*(2-4*x+3*x^2)/(-4*x^2-1+4*x+2*x^3) lgdogf] A115390 5.93737 [{a(n+3)-4*a(n+2)+4*a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A115390 8.06311 [2*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A115391 5.76890 [(4*x^7-3*x^6+8*x^5+7*x^4+12*x^3-5*x^2+8*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A115399 14.1804 [f(x)^2*x^3-f(x)^2*x^2-f(x)+1 ogf] A115399 21.2193 [1/2/x^2*(-1+x^2+(1-2*x^2+x^4+4*x^3)^(1/2)) revogf] A115400 12.4896 [-4*(4+33*x+71*x^3+102*x^2)/(-1+x)/(71*x^3+39*x^2+9*x+1) lgdogf] A115400 4.10890 [{(n^2+5*n+6)*a(n+1)+(-n^2+2*n+15)*a(n+2)-n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A115400 5.84997 [-6*x^3*(71*x^3+39*x^2+9*x+1)/(x-1)^7 ogf] A115400 7.66996 [-(-284*x^3-408*x^2-132*x-16)/(-71*x^4+32*x^3+30*x^2+8*x+1) lgdogf] A115412 14.7947 [(x-1)/(x^5-x^3-x^2-x-1) ogf] A115412 18.2694 [-(2+2*x+4*x^5+2*x^2-2*x^3-5*x^4)/(x-1)/(x^5-x^3-x^2-x-1) lgdogf] A115412 9.80953 [-(-4*x^5+5*x^4+2*x^3-2*x^2-2*x-2)/(-x^6+x^5+x^4-1) lgdogf] A115413 14.2488 [-(x-1)/(x^5-x^4-x^3+x^2-1) ogf] A115413 18.2392 [-(1-2*x+4*x^5+4*x^2+2*x^3-8*x^4)/(x-1)/(x^5-x^4-x^3+x^2-1) lgdogf] A115413 8.90551 [-(4*x^5-8*x^4+2*x^3+4*x^2-2*x+1)/(x^6-2*x^5+2*x^3-x^2-x+1) lgdogf] A115419 7.97437 [(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+8)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A115420 4.79521 [(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+16)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A115451 10.0439 [-(8*x^3+3*x^2+2*x+1)/(2*x^4+x^3+x^2+x-1) lgdogf] A115451 17.8558 [-1/(x+1)/(2*x-1)/(x^2+1) ogf] A115451 18.7926 [-(1+2*x+8*x^3+3*x^2)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A115451 7.1107 [-f(x)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A115489 10.9850 [-(32*x-10)/(16*x^2-10*x+1) lgdogf] A115489 13.3201 [-1/16*(-1-5*x+(9*x+1)^(1/2)*(x+1)^(1/2))/x revogf] A115489 16.3206 [2/(8*x-1)/(2*x-1) ogf] A115489 19.9801 [-2*(-5+16*x)/(8*x-1)/(2*x-1) lgdogf] A115489 6.72025 [(17*f(x)+16)*(16*f(x)*x^2-10*f(x)*x+f(x)-2) ogf] A115489 6.72025 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=2,a(1)=20} ogf] A115490 14.4175 [3/(16*x-1)/(4*x-1) ogf] A115490 17.0180 [-4*(-5+32*x)/(16*x-1)/(4*x-1) lgdogf] A115490 5.80013 [(341*f(x)+852)*(64*f(x)*x^2-20*f(x)*x+f(x)-3) ogf] A115490 5.93660 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=3,a(1)=60} ogf] A115490 8.97311 [-1/128*(-20*x-3+(4*x+3)^(1/2)*(12*x+1)^(1/2)*3^(1/2))/x revogf] A115490 9.52096 [-(128*x-20)/(64*x^2-20*x+1) lgdogf] A115491 15.0103 [6/(32*x-1)/(2*x-1) ogf] A115491 17.1510 [-2*(-17+64*x)/(32*x-1)/(2*x-1) lgdogf] A115491 6.03864 [(257*f(x)+192)*(64*f(x)*x^2-34*f(x)*x+f(x)-6) ogf] A115491 6.10886 [{-a(n+2)+34*a(n+1)-64*a(n),a(0)=6,a(1)=204} ogf] A115491 9.52832 [-1/64*(-3-17*x+(3*x+1)^(1/2)*(25*x+3)^(1/2)*3^(1/2))/x revogf] A115491 9.91249 [-(128*x-34)/(64*x^2-34*x+1) lgdogf] A115492 3.97292 [-(106222635*f(x)-472714592)*(4096*f(x)*x^4-3456*f(x)*x^3+808*f(x)*x^2-54*f(x)*x-1792*x^2+f(x)+756*x-35) ogf] A115492 7.75665 [7*(256*x^2-108*x+5)/(4*x-1)/(2*x-1)/(16*x-1)/(32*x-1) ogf] A115500 3.07709 [-(29403675*f(x)+728836576)*(1024*f(x)*x^4-960*f(x)*x^3+280*f(x)*x^2+4096*x^3-30*f(x)*x-2880*x^2+f(x)+560*x-30) ogf] A115500 5.66316 [-2*(2048*x^3-1440*x^2+280*x-15)/(16*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A115504 3.87481 [-2*(81920*x^4-63488*x^3+14880*x^2-1240*x+31)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A115519 11.0168 [x*(x+5)*(2*x+1)/(x-1)^4 ogf] A115519 12.3522 [-(4*x^2+37*x+31)/(2*x^3+9*x^2-6*x-5) lgdogf] A115519 22.3382 [-(31+37*x+4*x^2)/(x+5)/(x-1)/(2*x+1) lgdogf] A115519 4.07621 [{(-15-5*n)*a(n+4)+(19-6*n)*a(n+3)+(46+9*n)*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=5,a(2)=31,a(3)=96} ogf] A115519 5.62236 [(349344*f(x)+1868425)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-11*x^2+f(x)-5*x) ogf] A115520 4.81744 [(x^10+x^9+2*x^8+5*x^7+7*x^6+4*x^5+7*x^4+5*x^3+2*x^2+x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A115525 5.65624 [(x^5+2*x^4+x^3-2*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2+1) ogf] A115525 6.37682 [-(-1+2*x+x^10+4*x^9+4*x^8+2*x^7-6*x^6-6*x^5+x^4+6*x^3+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^5+2*x^4+x^3-2*x-1)/(x^2+x+1) lgdogf] A115535 14.8738 [-2*(162-287*x+128*x^2)/(x-1)/(256*x^2-543*x+289) lgdogf] A115535 5.3515 [(11244*f(x)+1075988551)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22784*x^2-f(x)-48327*x+25721) ogf] A115535 5.86940 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25721,a(1)=28836,a(2)=32129} ogf] A115535 9.33083 [-(-256*x^2+574*x-324)/(-256*x^3+799*x^2-832*x+289) lgdogf] A115535 9.96993 [-89*(256*x^2-543*x+289)/(x-1)^3 ogf] A115536 11.5055 [-9434*(16*x-17)/(x-1)^2 ogf] A115536 11.9396 [-(-16*x+18)/(-16*x^2+33*x-17) lgdogf] A115536 12.9087 [-(-80189-x+(6430275721+9434*x)^(1/2))/(150944+x) revogf] A115536 22.9488 [-2*(-9+8*x)/(x-1)/(16*x-17) lgdogf] A115536 6.02667 [(629*f(x)+889465822)*(f(x)*x^2-2*f(x)*x+f(x)+150944*x-160378) ogf] A115536 6.87827 [{-a(n+2)+2*a(n+1)-a(n),a(0)=160378,a(1)=169812} ogf] A115565 11.1580 [-(61+196*x+11*x^4+56*x^3+276*x^2)/(x-1)/(11*x^4+6*x^3+86*x^2+6*x+11) lgdogf] A115565 7.22177 [-(-11*x^4-56*x^3-276*x^2-196*x-61)/(-11*x^5+5*x^4-80*x^3+80*x^2-5*x+11) lgdogf] A115565 7.88499 [-(11*x^4+6*x^3+86*x^2+6*x+11)/(x-1)^5 ogf] A115567 12.4240 [-(3-10*x+9*x^4-12*x^3+17*x^2)/(x-1)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A115567 6.35769 [-x*(x^2-x+1)*(3*x^2-3*x+1)/(x-1)^7 ogf] A115567 7.36485 [-(-9*x^4+12*x^3-17*x^2+10*x-3)/(-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) lgdogf] A115598 10.0937 [-(-2*x^3+4*x^2+14*x-8)/(-x^4+6*x^3-6*x+1) lgdogf] A115598 13.9026 [-(x+1)/(x-1)/(x^2-6*x+1) ogf] A115598 6.52071 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=49} ogf] A115598 6.69856 [(45912*f(x)-3329)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A115599 12.0793 [-(x^2-5*x+2)/(x-1)/(x^2-6*x+1) ogf] A115599 6.24442 [(45912*f(x)+6247)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)-5*x+2) ogf] A115599 6.52071 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=2,a(1)=9,a(2)=50} ogf] A115599 7.15379 [-(-x^4+10*x^3-34*x^2+26*x-9)/(-x^5+12*x^4-44*x^3+50*x^2-19*x+2) lgdogf] A115605 4.45875 [-x^2*(2*x^4-x^3-2*x^2+x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A115607 99.9999 Evaluated at exp(-Pi) 1/24*exp(Pi) A115618 12.3167 [-(-6*x^2+9*x-4)/(-6*x^3+13*x^2-9*x+2) lgdogf] A115618 12.9127 [-(3*x-2)^2/(x-1)/(2*x-1)^2 ogf] A115618 21.8534 [-(4-9*x+6*x^2)/(x-1)/(2*x-1)/(3*x-2) lgdogf] A115618 6.7276 [-(24*f(x)+569)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+9*x^2-f(x)-12*x+4) ogf] A115618 7.08483 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=4,a(1)=8,a(2)=17} ogf] A115634 18.9363 [-6*x/(x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A115634 4.58764 [{-a(n+3)+a(n+1),a(0)=1,a(1)=0,a(2)=-3} ogf] A115634 7.7709 [f(x)*x^2-4*x^2-f(x)+1 ogf] A115634 8.46164 [(2*x-1)*(2*x+1)/(x-1)/(x+1) ogf] A115634 8.65395 [-6*x/(4*x^4-5*x^2+1) lgdogf] A115635 5.71287 [-(-1+8*x+13*x^8+20*x^7+24*x^3+18*x^5+15*x^6+10*x^9+4*x^10+17*x^2+28*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(4*x^5+5*x^4+4*x^3+3*x^2-2*x-1) lgdogf] A115635 5.71634 [(4*x^5+5*x^4+4*x^3+3*x^2-2*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2+1) ogf] A115639 12.2168 [-(192*x^30+48*x^14+12*x^6+3*x^2+1)/(x-1) ogf] A115659 9.63717 [x*(2*x^4-2*x^3+3*x^2-2*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A115714 5.95206 [(4*x^5+3*x^4+4*x^3+3*x^2-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2+1) ogf] A115714 6.17358 [-(x^2-x+1)*(4*x^8+10*x^7+17*x^6+27*x^5+35*x^4+30*x^3+23*x^2+9*x+1)/(x-1)/(x+1)/(x^2+1)/(4*x^5+3*x^4+4*x^3+3*x^2-1)/(x^2+x+1) lgdogf] A115730 10.2648 [-2*(1+2*x-4*x^3+3*x^5-5*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A115730 10.5435 [-x^2/(x-1)/(x+1)/(x^2+x+1)/(x^2-3*x+1) ogf] A115731 6.60368 [(4*x^8-4*x^7-5*x^6+13*x^5-15*x^4+13*x^3-8*x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A115784 3.79511 [-(339*x^10+3872*x^9-5577*x^7+2281*x^6-3168*x^4+4526*x^3-2082*x+694)/(678*x^10-3872*x^9-11154*x^7-2281*x^6-6336*x^4-4526*x^3-4164*x-694) ogf] A115788 16.8335 [-x*(2+x^11+5*x^7+3*x^9+4*x^2+7*x^5+6*x^4)/(x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A115789 10.4060 [(x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A115789 7.48214 [(4*x^3+6*x^5+3*x^2+1+2*x+5*x^4+x^12+5*x^8+2*x^11+6*x^7+3*x^10+4*x^9)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^7-x^6-x^5-x^4-x^3-x^2-x-1) lgdogf] A115790 15.7718 [7*x^6/(-x^7+1) lgdogf] A115790 17.2055 [-x^7/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A115790 25.5968 [-7*x^6/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1) lgdogf] A115806 12.2429 [(10*f(x)*x-f(x)+11*x)^3 ogf] A115812 11.3907 [(10*f(x)*x-f(x)+1111)^2 ogf] A115830 12.2429 [(10*f(x)*x-f(x)+11*x)^3 ogf] A115842 7.47963 [(8-6*x+48*x^8+8*x^7-42*x^9-105*x^14+187*x^15-186*x^16+90*x^17)/(x-1)/(6*x^17-6*x^16+7*x^15-6*x^9-x^8+6*x^2-6*x-1) lgdogf] A115842 8.97678 [-(6*x^17-6*x^16+7*x^15-6*x^9-x^8+6*x^2-6*x-1)/(x-1)^2 ogf] A115843 7.20600 [(9-7*x+9*x^8+63*x^9-56*x^10-136*x^16+246*x^17-245*x^18+119*x^19)/(x-1)/(7*x^19-7*x^18+8*x^17-7*x^10-x^9+7*x^2-7*x-1) lgdogf] A115843 8.78563 [-(7*x^19-7*x^18+8*x^17-7*x^10-x^9+7*x^2-7*x-1)/(x-1)^2 ogf] A115844 6.84310 [(10-8*x+10*x^9+80*x^10-72*x^11-171*x^18+313*x^19-312*x^20+152*x^21)/(x-1)/(8*x^21-8*x^20+9*x^19-8*x^11-x^10+8*x^2-8*x-1) lgdogf] A115844 8.54360 [-(8*x^21-8*x^20+9*x^19-8*x^11-x^10+8*x^2-8*x-1)/(x-1)^2 ogf] A115851 10.1508 [-x^2*(x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A115851 9.00381 [-(1-2*x+4*x^3+6*x^6+6*x^5-13*x^4+2*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+1)/(x^2+x-1) lgdogf] A115852 5.74731 [-(5+38*x+6*x^7-10*x^3-13*x^6-100*x^5-110*x^4+34*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2+3*x+1)/(x^2-7*x+1) lgdogf] A115852 5.99289 [-4*x^2*(x+1)/(x-1)/(x^2+x+1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A115864 11.7376 [-(-8*x+(48*x^2+1)^(1/2))*x/(4*x-1)/(4*x+1) revogf] A115864 18.2585 [-8*(-1+2*x)/(16*x^2+1-16*x) lgdogf] A115864 3.25362 [{(-n-3)*a(n+3)+(40+16*n)*a(n+2)+(-32-16*n)*a(n+1),a(0)=1,a(1)=8,a(2)=88} ogf] A115864 7.75865 [-16*f(x)^2*x^2+16*f(x)^2*x-f(x)^2+1 ogf] A115864 9.88845 [-(16*x-8)/(16*x^2-16*x+1) lgdogf] A115865 17.5267 [-12*(-1+3*x)/(36*x^2+1-24*x) lgdogf] A115865 3.19643 [{(-n-3)*a(n+3)+(60+24*n)*a(n+2)+(-72-36*n)*a(n+1),a(0)=1,a(1)=12,a(2)=198} ogf] A115865 7.72059 [-36*f(x)^2*x^2+24*f(x)^2*x-f(x)^2+1 ogf] A115865 9.65075 [-(36*x-12)/(36*x^2-24*x+1) lgdogf] A115877 10.5054 [-(10*f(x)*x-f(x)+111*x)^2 ogf] A115880 6.68449 [-3*x*(-4-4*x^7-16*x^6-16*x^2-4*x-5*x^3-24*x^4-12*x^5-4*x^8+x^11)/(x-1)/(x+1)/(x^2+1)/(x^9-2*x^6-3*x^5-6*x^4-4*x^3-6*x^2-2) lgdogf] A115880 7.65968 [x^2*(x^9-2*x^6-3*x^5-6*x^4-4*x^3-6*x^2-2)/(x^2+1)^3/(x-1)^3/(x+1)^3 ogf] A115881 6.63679 [-x^2*(x^9+x^8+2*x^7+4*x^6+x^5+6*x^4+2*x^3+4*x^2+1)/(x^2+1)^3/(x-1)^3/(x+1)^3 ogf] A115902 24.7761 [12/(-8*x+1) lgdogf] A115902 58.8607 [-12/(-1+8*x) lgdogf] A115902 6.77837 [{(-n-2)*a(n+2)+(20+8*n)*a(n+1),a(0)=1,a(1)=12} ogf] A115902 8.35474 [-512*f(x)^2*x^3+192*f(x)^2*x^2-24*f(x)^2*x+f(x)^2-1 ogf] A115903 17.2826 [18/(-12*x+1) lgdogf] A115903 39.0111 [-18/(-1+12*x) lgdogf] A115903 4.84558 [{(-n-2)*a(n+2)+(30+12*n)*a(n+1),a(0)=1,a(1)=18} ogf] A115903 5.95952 [-1728*f(x)^2*x^3+432*f(x)^2*x^2-36*f(x)^2*x+f(x)^2-1 ogf] A115944 5.71500 [(x+1)*(x^4-x^2+1)*(x^8+1)*(x^16-x^8+1)*(x^2+1)^2 ogf] A115945 7.51658 [(5+5*x+4*x^3+132*x^17-140*x^18+68*x^19+64*x^15-124*x^16-12*x^2)/(x-1)/(4*x^19-4*x^18+4*x^17-4*x^16+4*x^3-4*x^2+3*x-4) lgdogf] A115945 9.24159 [-(4*x^19-4*x^18+4*x^17-4*x^16+4*x^3-4*x^2+3*x-4)/(x-1)^2 ogf] A115953 6.49420 [(x^5+x^3-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2+1) ogf] A115953 7.51794 [-(1+2*x+2*x^8+2*x^7-2*x^3+3*x^2+x^4-2*x^5+4*x^6+x^10)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^5+x^3-1) lgdogf] A115962 11.4424 [-4*f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2-1 ogf] A115962 12.8728 [-(6*x^2+4*x)/(4*x^3+4*x^2-1) lgdogf] A115962 24.4992 [-2*x*(2+3*x)/(-1+4*x^2+4*x^3) lgdogf] A115962 4.42254 [{(-n-4)*a(n+4)+(12+4*n)*a(n+2)+(10+4*n)*a(n+1),a(0)=1,a(1)=0,a(2)=2,a(3)=2} ogf] A115967 14.8507 [(-1-4*x+2*(1+2*x+13*x^2)^(1/2))/(1+12*x^2)*x revogf] A115967 8.59780 [2*(-6*x^2+2-4*x+(-(x+1)*(3*x-1))^(1/2))*(1+3*x)/(x+1)/(3*x-1)/(12*x^2+8*x-3) lgdogf] A115967 9.00415 [-12*f(x)^2*x^2-8*f(x)^2*x+3*f(x)^2-2*f(x)-1 ogf] A115969 5.99974 [-2*(2+2*x^2-12*x+(x^2-6*x+1)^(1/2))*(x-3)/(x^2-6*x+1)/(4*x^2-24*x+3) lgdogf] A115969 7.99965 [-(-1-12*x+2*(1+6*x+33*x^2)^(1/2))*x/(2*x-1)/(2*x+1) revogf] A115969 9.98323 [-4*f(x)^2*x^2+24*f(x)^2*x-3*f(x)^2+2*f(x)+1 ogf] A115970 10.2004 [-64*f(x)^2*x+7*f(x)^2-6*f(x)-1 ogf] A115970 12.7146 [8*(4-16*x+3*(1-4*x)^(1/2))/(64*x-7)/(-1+4*x) lgdogf] A115970 15.9841 [(-3-32*x+4*(1+12*x+64*x^2)^(1/2))*x revogf] A115970 3.59258 [{(256*n+384)*a(n+1)+(-92*n-234)*a(n+2)+(7*n+21)*a(n+3),a(0)=1,a(1)=8,a(2)=72} ogf] A115970 7.93362 [8*(-16*x+4+3*(-4*x+1)^(1/2))/(256*x^2-92*x+7) lgdogf] A115971 12.5455 [-x*(x^4+x^3+1)/(x-1)/(x+1)/(x^4+1) ogf] A115971 14.3041 [-x*(2+3*x^7+3*x-x^3+4*x^4-x^5+2*x^8)/(x-1)/(x+1)/(x^4+x^3+1)/(1+x^4) lgdogf] A115977 99.9999 Evaluated at exp(-Pi) 1/2*exp(Pi) A115978 9.23025 [-(-2*x^5-2*x^4-x^3-4*x^2-x-2)/(x^6-1) ogf_with_Euler_transform] A116078 4.04371 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+16*f(x)*x^2+f(x)^2-8*f(x)*x-25*x^2+f(x)+14*x-2 ogf] A116078 8.19707 [(-50*x^2+31*x-5+(-(-1+4*x)*(-1+5*x)^2)^(1/2))/(25*x^2-14*x+2)/(-1+4*x) lgdogf] A116080 8.38229 [x*(3*x^9-10*x^6+13*x^5-7*x^4-3*x^3+7*x^2-3*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A116082 5.12642 [x*(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1)/(x-1)^8 ogf] A116082 8.45877 [-(3-13*x-29*x^3-3*x^5+2*x^6+27*x^2+21*x^4)/(x-1)/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) lgdogf] A116090 13.6847 [-1/(x^5+3*x^4+3*x^3+x^2-1) ogf] A116090 16.6192 [-x*(5*x+2)*(x+1)^2/(-1+x^2+3*x^3+3*x^4+x^5) lgdogf] A116090 8.14934 [-(-5*x^4-12*x^3-9*x^2-2*x)/(-x^5-3*x^4-3*x^3-x^2+1) lgdogf] A116091 11.9989 [-16*f(x)^2*x^2-4*f(x)^2*x-f(x)^2+1 ogf] A116091 15.3586 [-(2+16*x)/(16*x^2+4*x+1) lgdogf] A116091 19.3827 [-(2*x+(-12*x^2+1)^(1/2))*x/(4*x-1)/(4*x+1) revogf] A116091 32.5629 [-2*(8*x+1)/(16*x^2+1+4*x) lgdogf] A116091 5.01916 [{(n+3)*a(n+3)+(10+4*n)*a(n+2)+(32+16*n)*a(n+1),a(0)=1,a(1)=-2,a(2)=-2} ogf] A116092 11.0118 [-64*f(x)^2*x^2-8*f(x)^2*x-f(x)^2+1 ogf] A116092 14.0951 [-(4+64*x)/(64*x^2+8*x+1) lgdogf] A116092 28.2949 [-4*(16*x+1)/(64*x^2+1+8*x) lgdogf] A116092 4.57634 [{(n+3)*a(n+3)+(20+8*n)*a(n+2)+(128+64*n)*a(n+1),a(0)=1,a(1)=-4,a(2)=-8} ogf] A116093 11.7148 [-12*f(x)^2*x^2-4*f(x)^2*x-f(x)^2+1 ogf] A116093 14.9949 [-(12*x+2)/(12*x^2+4*x+1) lgdogf] A116093 31.4560 [-2*(1+6*x)/(12*x^2+1+4*x) lgdogf] A116093 4.93253 [{(n+3)*a(n+3)+(10+4*n)*a(n+2)+(24+12*n)*a(n+1),a(0)=1,a(1)=-2,a(2)=0} ogf] A116098 7.83801 [(10*f(x)*x^2-11*f(x)*x+f(x)+20*x-11)^2 ogf] A116129 7.83801 [(10*f(x)*x^2-11*f(x)*x+f(x)+20*x-11)^2 ogf] A116138 13.4759 [-6*x/(3*x-1)^3 ogf] A116138 22.6203 [9/(-3*x+1) lgdogf] A116138 5.55587 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=6,a(2)=54} ogf] A116138 56.7239 [-9/(-1+3*x) lgdogf] A116138 8.01734 [27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+6*x ogf] A116144 12.5586 [-8*x/(4*x-1)^3 ogf] A116144 20.7867 [12/(-4*x+1) lgdogf] A116144 49.4734 [-12/(-1+4*x) lgdogf] A116144 5.24187 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=8,a(2)=96} ogf] A116144 5.90996 [(3*f(x)+2)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-f(x)+8*x) ogf] A116149 13.8046 [-(91+264*x+2*x^3+93*x^2)/(x-1)/(x^3+30*x^2+51*x+8) lgdogf] A116149 7.90975 [-(x^3+30*x^2+51*x+8)/(x-1)^5 ogf] A116149 8.09159 [-(2*x^3+93*x^2+264*x+91)/(x^4+29*x^3+21*x^2-43*x-8) lgdogf] A116150 11.3236 [-2*(-7-5*x+72*x^3-21*x^2)/(x-1)/(3*x-1)/(2*x+1)/(12*x+1) lgdogf] A116150 11.9814 [(12*x+1)/(x-1)/(3*x-1)/(2*x+1) ogf] A116150 5.52986 [(4627625*f(x)+18061884)*(6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+f(x)-12*x-1) ogf] A116150 5.67539 [{a(n+3)-2*a(n+2)-5*a(n+1)+6*a(n),a(0)=1,a(1)=14,a(2)=33} ogf] A116150 7.26961 [-(-144*x^3+42*x^2+10*x+14)/(-72*x^4+54*x^3+29*x^2-10*x-1) lgdogf] A116156 12.1027 [-10*x/(5*x-1)^3 ogf] A116156 20.8668 [15/(-5*x+1) lgdogf] A116156 49.6792 [-15/(-1+5*x) lgdogf] A116156 5.12828 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=0,a(1)=10,a(2)=150} ogf] A116156 5.81863 [(3*f(x)+2)*(125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x-f(x)+10*x) ogf] A116157 13.2434 [-1/(x^2+x-1)/(x^3-x^2+1) ogf] A116157 13.8536 [-(1+4*x-6*x^2+5*x^4)/(x^2+x-1)/(x^3-x^2+1) lgdogf] A116157 7.44944 [-(5*x^4-6*x^2+4*x+1)/(x^5-2*x^3+2*x^2+x-1) lgdogf] A116164 11.4314 [-12*x/(6*x-1)^3 ogf] A116164 20.1034 [18/(-6*x+1) lgdogf] A116164 4.89915 [{a(n+3)-18*a(n+2)+108*a(n+1)-216*a(n),a(0)=0,a(1)=12,a(2)=216} ogf] A116164 47.8471 [-18/(-1+6*x) lgdogf] A116164 5.55237 [(3*f(x)+2)*(216*f(x)*x^3-108*f(x)*x^2+18*f(x)*x-f(x)+12*x) ogf] A116165 12.0087 [-14*x/(7*x-1)^3 ogf] A116165 21.1188 [21/(-7*x+1) lgdogf] A116165 5.14659 [{a(n+3)-21*a(n+2)+147*a(n+1)-343*a(n),a(0)=0,a(1)=14,a(2)=294} ogf] A116165 5.83279 [(3*f(x)+2)*(343*f(x)*x^3-147*f(x)*x^2+21*f(x)*x-f(x)+14*x) ogf] A116165 50.3008 [-21/(-1+7*x) lgdogf] A116166 11.2781 [-16*x/(8*x-1)^3 ogf] A116166 19.8339 [24/(-8*x+1) lgdogf] A116166 4.83348 [{a(n+3)-24*a(n+2)+192*a(n+1)-512*a(n),a(0)=0,a(1)=16,a(2)=384} ogf] A116166 47.2094 [-24/(-1+8*x) lgdogf] A116166 5.47794 [(3*f(x)+2)*(512*f(x)*x^3-192*f(x)*x^2+24*f(x)*x-f(x)+16*x) ogf] A116176 10.2773 [-18*x/(9*x-1)^3 ogf] A116176 18.0739 [27/(-9*x+1) lgdogf] A116176 4.40457 [{a(n+3)-27*a(n+2)+243*a(n+1)-729*a(n),a(0)=0,a(1)=18,a(2)=486} ogf] A116176 4.99185 [(3*f(x)+2)*(729*f(x)*x^3-243*f(x)*x^2+27*f(x)*x-f(x)+18*x) ogf] A116176 42.9704 [-27/(-1+9*x) lgdogf] A116184 5.68350 [(x^13-x^11-36*x^10-x^9+x^7+36*x^6+x^5+33*x^4+36*x^3+36*x^2+37*x+3)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A116201 11.5284 [-x*(x-1)*(x+1)/(x^4-x^3-x^2-x+1) ogf] A116201 13.1863 [-(1-4*x^3+2*x^5+4*x^2-x^4)/(x-1)/(x+1)/(x^4-x^3-x^2-x+1) lgdogf] A116201 6.13434 [-(6*f(x)-1)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A116201 7.49344 [-(2*x^5-x^4-4*x^3+4*x^2+1)/(x^6-x^5-2*x^4+2*x^2+x-1) lgdogf] A116229 7.73223 [-(10*f(x)*x^2-11*f(x)*x+f(x)-10*x-8)^2 ogf] A116260 8.29253 [-(10*f(x)*x^2-11*f(x)*x+f(x)-9)^2 ogf] A116362 10.3858 [-x*(4*x^4-4*x^3-2*x^2+1)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A116362 7.48285 [-(3-4*x+8*x^6-16*x^5+56*x^3-24*x^2-24*x^4)/(x-1)/(2*x-1)/(2*x^2-1)/(4*x^4-4*x^3-2*x^2+1) lgdogf] A116363 4.92471 [-2*f(x)^2*x^3+12*f(x)^2*x^2-2*f(x)^2*x+f(x)*x^2-6*f(x)*x+f(x)+6*x-1 ogf] A116363 8.61744 [1/2*(-1-6*x+12*x^2+((8*x^2-4*x+1)*(-1+4*x)^2)^(1/2))/(2*x+3)/(x-2) revogf] A116373 4.89037 [-x^2*(x^6-x^3+1)*(x^39+x^36+x^33-x^30-2*x^27-x^24+x^3+1)/(x-1)/(2*x^45+x^42+x^39-x^27-x^24-x^21-x^18+1)/(x^2+x+1) ogf] A116383 5.38512 [20*f(x)^2*x^4-9*f(x)^2*x^2+4*f(x)*x^3+4*f(x)*x^2+f(x)^2-f(x)*x+x^2-f(x) ogf] A116387 4.40167 [-12*f(x)^2*x^4-14*f(x)^2*x^3+3*f(x)^2*x^2+4*f(x)^2*x-3*f(x)*x^2-f(x)^2-2*f(x)*x-x^2+f(x) ogf] A116390 13.3267 [(-1-x+2*(1+2*x+13*x^2)^(1/2))/(1+2*x+17*x^2)*x revogf] A116390 6.80662 [17*f(x)^2*x^2+2*f(x)^2*x-3*f(x)^2+2*f(x)*x+2*f(x)+1 ogf] A116390 6.88794 [(1+17*x-68*x^3-4*x^2+2*(-(2*x-1)*(2*x+1)*(1+4*x)^2)^(1/2))/(2*x-1)/(2*x+1)/(17*x^2+2*x-3) lgdogf] A116391 4.99948 [-5*f(x)^2*x^4-10*f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x^2+f(x)^2-2*f(x)*x-1 ogf] A116394 6.75813 [3*f(x)^2*x^4+8*f(x)^2*x^3+7*f(x)^2*x^2-f(x)^2+2*f(x)*x+1 ogf] A116396 6.7954 [-f(x)^2*x^3-4*f(x)^2*x^2-3*f(x)^2*x+f(x)^2-f(x)*x-1 ogf] A116396 8.45988 [1/2*(3-4*x-12*x^3-29*x^2+(-(-1+4*x)*(x-1)^4)^(1/2))/(-1+4*x)/(x^3+4*x^2+3*x-1) lgdogf] A116404 13.0914 [(x-1)/(x^2+1)/(x^2+2*x-1) ogf] A116404 15.8195 [-(-1-6*x^2+3*x^4)/(x-1)/(x^2+1)/(x^2+2*x-1) lgdogf] A116404 6.48453 [(476*f(x)-143)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x-f(x)-x+1) ogf] A116404 8.26006 [-(3*x^4-6*x^2-1)/(x^5+x^4-2*x^3+2*x^2-3*x+1) lgdogf] A116406 4.89904 [8*f(x)^2*x^3-4*f(x)^2*x^2-4*f(x)*x^3-2*f(x)^2*x+4*f(x)*x^2+x^3+f(x)^2+f(x)*x-f(x) ogf] A116410 3.40047 [{(-9*n-9)*a(n)+(-3*n-3)*a(n+1)+(5*n+11)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=8} ogf] A116410 4.31334 [9*f(x)^2*x^3+3*f(x)^2*x^2-6*f(x)*x^3-5*f(x)^2*x-f(x)*x^2+x^3+f(x)^2+4*f(x)*x-f(x) ogf] A116411 8.8159 [-31*f(x)^3*x^3+12*f(x)^3*x^2-12*f(x)^3*x+4*f(x)^3+3*f(x)*x-3*f(x)-1 ogf] A116413 14.5032 [-(x+1)/(x^3+x^2+2*x-1) ogf] A116413 17.9778 [-(3+2*x+2*x^3+4*x^2)/(x+1)/(x^3+x^2+2*x-1) lgdogf] A116413 6.86313 [{-a(n+3)+2*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A116413 7.11732 [-(9*f(x)+26)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A116413 9.60839 [-(2*x^3+4*x^2+2*x+3)/(x^4+2*x^3+3*x^2+x-1) lgdogf] A116415 13.0645 [-(6*x-5)/(3*x^2-5*x+1) lgdogf] A116415 16.6096 [-1/6*(-1-5*x+(1+10*x+13*x^2)^(1/2))/x revogf] A116415 19.0030 [1/(3*x^2-5*x+1) ogf] A116415 26.7198 [-(-5+6*x)/(3*x^2+1-5*x) lgdogf] A116415 7.64754 [{-a(n+2)+5*a(n+1)-3*a(n),a(0)=1,a(1)=5} ogf] A116415 7.64755 [(19*f(x)+6)*(3*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A116418 12.3543 [-(6*x^5+2*x^4+5*x^3+4*x^2+5*x+2)/(-x^6+1) ogf_with_Euler_transform] A116421 4.93931 [{(-32*n^2-32*n-8)*a(n)+(n^2+2*n+1)*a(n+1),a(0)=0,a(1)=1} ogf] A116423 10.9594 [-(2*x^3-6*x+3)/(x^4+2*x^3-7*x^2+5*x-1) lgdogf] A116423 13.8435 [-x*(x-1)/(x^3+3*x^2-4*x+1) ogf] A116423 16.3057 [-(3-6*x+2*x^3)/(x-1)/(x^3+3*x^2-4*x+1) lgdogf] A116423 7.10881 [{a(n+3)-4*a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A116423 9.28327 [f(x)*x^3+3*f(x)*x^2-4*f(x)*x+x^2+f(x)-x ogf] A116453 14.9653 [-2*f(x)*x+f(x)+x-5 ogf] A116453 18.2010 [(x-5)/(2*x-1) ogf] A116453 18.2010 [-9/(-2*x^2+11*x-5) lgdogf] A116453 21.2849 [5/2+x-1/2*(25+16*x+4*x^2)^(1/2) revogf] A116453 43.9889 [9/(2*x-1)/(x-5) lgdogf] A116453 9.35331 [{a(n+2)-2*a(n+1),a(0)=5,a(1)=9} ogf] A116454 10.2559 [x*(x+1)*(x-2)/(2*x-1)/(x-1)^2 ogf] A116454 13.9666 [-(9-13*x+2*x^3-2*x^2)/(x-1)/(x-2)/(2*x-1)/(x+1) lgdogf] A116454 5.05027 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=0,a(1)=2,a(2)=9,a(3)=25} ogf] A116454 5.33308 [-(1312*f(x)-3069)*(2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x)+2*x) ogf] A116454 9.13199 [-(2*x^3-2*x^2-13*x+9)/(2*x^4-5*x^3+5*x-2) lgdogf] A116458 16.6401 [-(-x^10-x^8-1)/(-x^14+1) ogf_with_Euler_transform] A116468 9.46368 [(2*x^5-4*x^4+5*x^3-2*x^2+x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A116470 11.0809 [(-2-6*x+x^6-2*x^5+x^8-8*x^3-8*x^2-9*x^4)/(x^3+x+1)/(x^4+x^2-1)/(x^2+x+1) lgdogf] A116470 9.52352 [-x*(x^2+x+1)*(x^3+x+1)/(x^4+x^2-1) ogf] A116471 13.3180 [-(x+2)*(x^4-3*x^3+3*x^2+x+2)/(x-1)/(x+1)/(x^4-x^3-2*x^2+3*x+1) lgdogf] A116471 8.63594 [-2*x*(x^4-x^3-2*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A116476 4.65864 [(2*x^8+7*x^7+15*x^6+33*x^5-605*x^4-1379*x^3-183*x^2-33*x-13)/(x-1)/(x^8-394*x^4+1) ogf] A116483 10.4129 [-(-5*x^2-10*x+3)/(-5*x^3-3*x^2+x-1) lgdogf] A116483 15.0409 [(x+1)/(5*x^2-2*x+1) ogf] A116483 16.4523 [-1/2*(-1-2*x+(1+8*x-16*x^2)^(1/2))/(-1+5*x) revogf] A116483 19.6514 [-(-3+10*x+5*x^2)/(x+1)/(5*x^2-2*x+1) lgdogf] A116483 7.77975 [(44*f(x)-61)*(5*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A116483 8.25413 [{-a(n+2)+2*a(n+1)-5*a(n),a(0)=1,a(1)=3} ogf] A116484 10.3656 [5*f(x)*x^2-2*f(x)*x+f(x)-3*x+1 ogf] A116484 14.5118 [(3*x-1)/(5*x^2-2*x+1) ogf] A116484 16.5201 [1/2/(-3+5*x)*(-1+2*x+(1+8*x-16*x^2)^(1/2)) revogf] A116484 17.3461 [-(-1-10*x+15*x^2)/(-1+3*x)/(5*x^2-2*x+1) lgdogf] A116484 7.96378 [{-a(n+2)+2*a(n+1)-5*a(n),a(0)=-1,a(1)=1} ogf] A116484 9.60338 [-(15*x^2-10*x-1)/(15*x^3-11*x^2+5*x-1) lgdogf] A116494 14.6970 [-(x^3-x^2+x-1)/(-x^5-1) ogf_with_Euler_transform] A116498 10.7160 [-(x^6-x^5+x^4+x^3+x^2-x+1)/(-x^8+1) ogf_with_Euler_transform] A116498 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(5/16)/(2-2^(1/2))^(1/4) A116509 5.27463 [-(98022*f(x)-868477)*(f(x)*x^4-6*f(x)*x^2+25*x^3+25*x^2+f(x)-109*x-41) ogf] A116509 6.21016 [-(109+442*x+25*x^6+50*x^5-164*x^3+579*x^2-177*x^4)/(x^2-2*x-1)/(x^2+2*x-1)/(25*x^3+25*x^2-109*x-41) lgdogf] A116509 8.96689 [-(25*x^3+25*x^2-109*x-41)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A116510 7.69647 [-(x^36+x^33+2*x^32-x^5+1)/(x-1)/(x+1)/(x^4+1)/(x^32+1) ogf] A116521 13.0568 [x^3/(x^4-6*x^3+8*x^2-5*x+1) ogf] A116521 13.5415 [-(-5+16*x+4*x^3-18*x^2)/(8*x^2+1-5*x+x^4-6*x^3) lgdogf] A116521 6.46246 [-f(x)*x^4+6*f(x)*x^3-8*f(x)*x^2+x^3+5*f(x)*x-f(x) ogf] A116521 7.80222 [-(-4*x^3+18*x^2-16*x+5)/(-x^4+6*x^3-8*x^2+5*x-1) lgdogf] A116530 12.1126 [{a(n+1)-3*a(n),a(0)=20} ogf] A116530 15.2849 [-3*f(x)*x+f(x)-20 ogf] A116530 22.9274 [3/(-3*x+1) lgdogf] A116530 24.2021 [-1/3*ln(20)+1/3*ln(20+3*x) revegf] A116530 24.6910 [-20/(3*x-1) ogf] A116530 57.2049 [-3/(-1+3*x) lgdogf] A116547 7.12824 [x*(4*x^14-17*x^10+21*x^9-13*x^7+8*x^5-4*x^4-4*x^3+9*x^2-4*x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A116551 10.8831 [(-1-11*x-2*x^6+3*x^5+2*x^7+6*x^3-15*x^4)/(x-1)/(x^2+x+1)/(2*x^5-5*x^3+5*x^2-2*x+3) lgdogf] A116551 11.1764 [x*(2*x^5-5*x^3+5*x^2-2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A116556 11.5343 [-(-4*x-2)/(-2*x^2-2*x+1) lgdogf] A116556 14.9634 [-4*x/(2*x^2+2*x-1) ogf] A116556 16.9997 [1/2*(-2-x+(4+4*x+3*x^2)^(1/2))/x revogf] A116556 22.6663 [-2*(2*x+1)/(2*x^2-1+2*x) lgdogf] A116556 6.83515 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=0,a(1)=4} ogf] A116556 9.38384 [-2*f(x)*x^2-2*f(x)*x+f(x)-4*x ogf] A116558 8.84180 [-x*(x^6+x^5+x^4-2*x^3-5*x^2-x-1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A116559 7.62680 [x*(x^9+x^8-2*x^7+3*x^6-5*x^5-5*x^4-2*x^3-2*x^2-x-1)/(x^12+6*x^6-1) ogf] A116560 8.04865 [-x*(x^9+x^8-x^6+x^5+x^4+x+1)/(x^12+2*x^6-1) ogf] A116561 5.99831 [-x*(x^9+x^8+x^7+2*x^6-7*x^5-7*x^4-18*x^3-4*x^2-4*x-1)/(x^12-20*x^6+1) ogf] A116562 2.87748 [-(125*f(x)-79)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+f(x)-x) ogf] A116567 4.90870 [-x*(1296*x^9+1296*x^8+1296*x^7-36*x^6+228*x^5+228*x^4+40*x^3+2*x^2+2*x+1)/(46656*x^12+1476*x^6-1) ogf] A116576 10.3463 [-(7-x+2*x^5-5*x^3+4*x^6-9*x^2-2*x^4)/(x-1)/(x^3+x^2+x-1)/(2*x^3-x-2) lgdogf] A116576 10.3972 [(2*x^3-x-2)/(x^3+x^2+x-1)/(x-1)^2 ogf] A116597 8.32164 [-(3*x^7-2*x^6+3*x^5-2*x^4+5*x^3-2*x^2+3*x-2)/(-x^8+1) ogf_with_Euler_transform] A116597 99.9999 Evaluated at exp(-Pi) 1/16/Pi^(3/4)*2^(5/8)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2 A116604 6.40605 [-(-2*x^11-3*x^10-x^9-2*x^8-2*x^7-3*x^6-3*x^4-2*x^3-2*x^2-x-3)/(x^12-1) ogf_with_Euler_transform] A116634 14.4813 [-(x^5-x^2-x-1)/(-x^3+1) ogf_with_Euler_transform] A116637 5.39405 [1/2*(-1)^(1/3)*(16+(12*x*3^(1/2)+4*(-4+27*x^2)^(1/2))^(4/3)*(-1)^(1/3))/x/(12*x*3^(1/2)+4*(-4+27*x^2)^(1/2))^(2/3)/(-12+81*x^2)^(1/2) lgdogf] A116637 8.03594 [-f(x)^3*x-3*f(x)^2*x+4*f(x)^2-3*f(x)*x-4*f(x)-x ogf] A116646 19.3447 [-(-x^3+2*x)/(x-1) ogf_with_Euler_transform] A116665 11.8533 [-(x^7-2*x^5-x^4+2*x^2+x)/(x^2-1) ogf_with_Euler_transform] A116668 13.5809 [-(3*x^2+x+1)/(x-1)^3 ogf] A116668 13.8073 [-(-3*x^2-8*x-4)/(-3*x^3+2*x^2+1) lgdogf] A116668 25.4047 [-(x+2)*(3*x+2)/(x-1)/(3*x^2+x+1) lgdogf] A116668 7.2038 [(475*f(x)-651)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+x+1) ogf] A116668 7.33130 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=12} ogf] A116689 10.4258 [-(30*x^2+84*x+21)/(10*x^3+6*x^2-15*x-1) lgdogf] A116689 17.7200 [-3*(7+28*x+10*x^2)/(x-1)/(10*x^2+16*x+1) lgdogf] A116689 3.56127 [{(n+3)*a(n+4)+(9+15*n)*a(n+3)+(-90-6*n)*a(n+2)+(-30-10*n)*a(n+1),a(0)=0,a(1)=1,a(2)=21,a(3)=105} ogf] A116689 8.46326 [-x*(10*x^2+16*x+1)/(x-1)^5 ogf] A116690 4.49218 [-x*(2*x^2-2*x+1)*(2*x^4-4*x^3+6*x^2-4*x+1)/(x-1)^9 ogf] A116690 7.71881 [-(3-16*x+12*x^6-24*x^5-56*x^3+40*x^2+50*x^4)/(x-1)/(2*x^2-2*x+1)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A116697 5.04919 [(5*f(x)-7)*(f(x)*x^4-f(x)*x^3+x^3-f(x)*x-x^2-f(x)+2*x+1) ogf] A116697 8.70803 [-(x^3-x^2+2*x+1)/(x^2+1)/(x^2-x-1) ogf] A116697 9.51579 [-(1-2*x+x^6-2*x^5+2*x^3-x^2+7*x^4)/(x^2+1)/(x^2-x-1)/(x^3-x^2+2*x+1) lgdogf] A116698 4.29094 [(13794*f(x)-16295)*(2*f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3+f(x)*x+3*x^2-f(x)-x+1) ogf] A116698 8.08034 [-(x^3+3*x^2-x+1)/(2*x^2+1)/(x^2+x-1) ogf] A116698 8.86261 [-x*(4+2*x^5+12*x^4+2*x^2+7*x+x^3)/(2*x^2+1)/(x^2+x-1)/(x^3+3*x^2-x+1) lgdogf] A116699 10.1384 [-(-4*x^3+9*x^2-2*x+2)/(-2*x^4+7*x^3-8*x^2+4*x-1) lgdogf] A116699 16.9388 [-(-2+2*x+4*x^3-9*x^2)/(x-1)/(2*x^3-5*x^2+3*x-1) lgdogf] A116699 4.26881 [{(61*n^2+499*n+948)*a(n+1)+(-128*n^2-800*n-972)*a(n+2)+(67*n^2+277*n+228)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A116699 9.32269 [(2*x^3-5*x^2+3*x-1)/(x-1)^5 ogf] A116701 15.8314 [-(2-2*x+9*x^2+x^4)/(x-1)/(x^4-2*x^3+5*x^2-3*x+1) lgdogf] A116701 8.15437 [-(x^4-2*x^3+5*x^2-3*x+1)/(x-1)^5 ogf] A116701 8.80301 [-(-x^4-9*x^2+2*x-2)/(-x^5+3*x^4-7*x^3+8*x^2-4*x+1) lgdogf] A116702 10.2625 [-(x^3-4*x^2+3*x-1)/(2*x-1)/(x-1)^3 ogf] A116702 10.6571 [-(2-6*x-12*x^3+11*x^2+2*x^4)/(x-1)/(2*x-1)/(x^3-4*x^2+3*x-1) lgdogf] A116702 5.44973 [-(251*f(x)+155)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A116702 7.82387 [-(-2*x^4+12*x^3-11*x^2+6*x-2)/(-2*x^5+11*x^4-19*x^3+15*x^2-6*x+1) lgdogf] A116703 10.9166 [-(2-6*x-12*x^3+11*x^2+6*x^4)/(2*x^2-2*x+1)/(3*x^3-5*x^2+4*x-1) lgdogf] A116703 11.3163 [-(2*x^2-2*x+1)/(3*x^3-5*x^2+4*x-1) ogf] A116703 6.00257 [-(4*f(x)+5)*(3*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A116703 6.16336 [{a(n+3)-4*a(n+2)+5*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A116703 6.83461 [-(-6*x^4+12*x^3-11*x^2+6*x-2)/(-6*x^5+16*x^4-21*x^3+15*x^2-6*x+1) lgdogf] A116704 5.40027 [-2*(1-8*x+73*x^6-106*x^5+6*x^8-32*x^7-74*x^3+32*x^2+107*x^4)/(x-1)/(3*x^3-5*x^2+4*x-1)/(4*x^5-13*x^4+22*x^3-17*x^2+7*x-1) lgdogf] A116704 6.42399 [(x^5-5*x^4+13*x^3-12*x^2+6*x-1)/(4*x^5-13*x^4+22*x^3-17*x^2+7*x-1) ogf] A116705 4.11724 [-(4*x^8-19*x^7+32*x^6-39*x^5+62*x^4-44*x^3+24*x^2-7*x+1)/(x-1)^9 ogf] A116705 5.85122 [-(2-8*x-37*x^6+36*x^5+4*x^8-6*x^7-16*x^3+36*x^2+115*x^4)/(x-1)/(4*x^8-19*x^7+32*x^6-39*x^5+62*x^4-44*x^3+24*x^2-7*x+1) lgdogf] A116706 5.74164 [(4*x^6-28*x^5+64*x^4-64*x^3+34*x^2-9*x+1)/(x-1)/(2*x-1)^5 ogf] A116706 6.32071 [2*(1-8*x+14*x^6-60*x^5-72*x^3+34*x^2+90*x^4)/(x-1)/(2*x-1)/(4*x^6-28*x^5+64*x^4-64*x^3+34*x^2-9*x+1) lgdogf] A116707 5.08081 [-(3*f(x)+1)*(4*f(x)*x^4-16*f(x)*x^3+16*f(x)*x^2+4*x^3-7*f(x)*x-8*x^2+f(x)+5*x-1) ogf] A116707 8.16791 [-2*(-1+6*x+4*x^5+24*x^3-18*x^2-14*x^4)/(x-1)/(2*x-1)/(4*x^4-16*x^3+16*x^2-7*x+1) lgdogf] A116707 9.19691 [-(x-1)*(2*x-1)^2/(4*x^4-16*x^3+16*x^2-7*x+1) ogf] A116708 3.72810 [-(4*x^9-29*x^8+108*x^7-234*x^6+313*x^5-268*x^4+151*x^3-54*x^2+11*x-1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^6 ogf] A116709 5.19174 [-2*(1-10*x+46*x^6-100*x^5+2*x^8-14*x^7-110*x^3+45*x^2+144*x^4)/(2*x^4-7*x^3+12*x^2-6*x+1)/(2*x^5-10*x^4+25*x^3-22*x^2+8*x-1) lgdogf] A116709 7.98476 [-(2*x^4-7*x^3+12*x^2-6*x+1)/(2*x^5-10*x^4+25*x^3-22*x^2+8*x-1) ogf] A116710 5.62232 [-(2*x^6-14*x^5+37*x^4-49*x^3+31*x^2-9*x+1)/(x-1)/(2*x^2-4*x+1)/(x^2-3*x+1)^2 ogf] A116711 10.7199 [(2*x^5-2*x^3-2*x^2+x-1)/(x-1)^3 ogf] A116711 6.61688 [2*(1+x+2*x^5+4*x^2-5*x^4)/(x-1)/(2*x^5-2*x^3-2*x^2+x-1) lgdogf] A116711 8.50965 [-(4*x^5-10*x^4+8*x^2+2*x+2)/(-2*x^6+2*x^5+2*x^4-3*x^2+2*x-1) lgdogf] A116712 10.5939 [(x^3-x+1)/(2*x-1)/(x^2+x-1) ogf] A116712 12.4044 [(2-2*x-2*x^3-2*x^2+x^4)/(2*x-1)/(x^2+x-1)/(x^3-x+1) lgdogf] A116712 4.85886 [{a(n+4)-3*a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A116712 5.82187 [(2*f(x)-1)*(2*f(x)*x^3+f(x)*x^2-x^3-3*f(x)*x+f(x)+x-1) ogf] A116713 8.01956 [(2-6*x+4*x^6-20*x^5-20*x^3+8*x^2+35*x^4)/(x-1)/(2*x-1)/(2*x^5-3*x^4-2*x^3+4*x^2-3*x+1) lgdogf] A116713 8.53152 [(2*x^5-3*x^4-2*x^3+4*x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A116714 10.9737 [(x^4+2*x^3+x^2+1)/(x-1)/(x^3+x^2+x-1) ogf] A116714 6.48443 [(291*f(x)+1864)*(f(x)*x^4-x^4-2*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A116714 9.57948 [-2*(-1-x+x^6+x^5+4*x^3-2*x^2+3*x^4)/(x-1)/(x^3+x^2+x-1)/(x^4+2*x^3+x^2+1) lgdogf] A116715 6.66498 [-(2+6*x+13*x^6+14*x^5+x^8+6*x^7+14*x^3+14*x^2+12*x^4)/(x+1)/(x^3+2*x^2+1)/(x^5+3*x^4+2*x^3+x^2+x-1) lgdogf] A116715 8.27305 [-(x+1)*(x^3+2*x^2+1)/(x^5+3*x^4+2*x^3+x^2+x-1) ogf] A116716 7.31997 [-(2+2*x-x^6+2*x^5+x^8-2*x^7-4*x^3+4*x^2+2*x^4)/(x+1)/(x^2+1)/(x^3-x^2-2*x+1)/(x^3-2*x^2+x-1) lgdogf] A116716 9.66984 [-(x+1)*(x^3-2*x^2+x-1)/(x^2+1)/(x^3-x^2-2*x+1) ogf] A116717 11.8948 [-(2-2*x+x^6-2*x^3+2*x^2-4*x^4)/(x-1)/(x^2+x-1)/(x^4-x^3-2*x^2+2*x-1) lgdogf] A116717 8.85258 [-(x^4-x^3-2*x^2+2*x-1)/(x^2+x-1)/(x-1)^3 ogf] A116718 7.85144 [(2*x^6+3*x^5-x^4-2*x^3-x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A116718 9.05168 [(-2-2*x^6-15*x^5+2*x^7+16*x^3-2*x^2-x^4)/(x-1)/(x+1)/(x^2+x-1)/(2*x^4+x^3-3*x^2+2*x-1) lgdogf] A116720 10.3071 [-(2*x^4-8*x^3-8*x^2-2*x-2)/(-2*x^5+3*x^2-2*x+1) lgdogf] A116720 10.7086 [-(2*x^4+2*x^3+2*x^2-x+1)/(x-1)^3 ogf] A116720 14.9830 [2*(-1-x-4*x^3-4*x^2+x^4)/(x-1)/(2*x^4+2*x^3+2*x^2-x+1) lgdogf] A116720 5.64771 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=12,a(4)=25} ogf] A116720 6.01873 [-(4212*f(x)-1697)*(f(x)*x^3+2*x^4-3*f(x)*x^2+2*x^3+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A116721 10.6406 [-(x^4-3*x^2+2*x-1)/(x-1)^4 ogf] A116721 18.0595 [-2*(-1+2*x^3-3*x^2)/(x-1)/(x^4-3*x^2+2*x-1) lgdogf] A116721 5.65055 [-(94*f(x)+2301)*(f(x)*x^4-4*f(x)*x^3+x^4+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A116721 9.75392 [-(-4*x^3+6*x^2+2)/(-x^5+x^4+3*x^3-5*x^2+3*x-1) lgdogf] A116722 13.2628 [-(2-2*x-6*x^3+6*x^2+5*x^4)/(x-1)/(x^5-3*x^3+5*x^2-3*x+1) lgdogf] A116722 7.88406 [-(5*x^4-6*x^3+6*x^2-2*x+2)/(x^6-x^5-3*x^4+8*x^3-8*x^2+4*x-1) lgdogf] A116722 8.63097 [-(x^5-3*x^3+5*x^2-3*x+1)/(x-1)^5 ogf] A116725 8.35191 [-(x^4-6*x^3+7*x^2-4*x+1)/(2*x-1)/(x-1)^4 ogf] A116725 8.36128 [-2*(-1+4*x+x^5+10*x^3-7*x^2-9*x^4)/(x-1)/(2*x-1)/(x^4-6*x^3+7*x^2-4*x+1) lgdogf] A116726 6.68903 [-(2-2*x-6*x^6+2*x^5+3*x^8+2*x^7-6*x^3-2*x^2+9*x^4)/(x-1)/(x^2+x-1)/(x^3-x+1)/(x^3+x^2+x-1) lgdogf] A116726 7.24255 [-(x^3-x+1)/(x-1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A116727 12.8235 [(3*x^4+4*x^3+2*x^2+1)/(x-1)^2 ogf] A116727 6.31651 [2*(-1-2*x-4*x^3-6*x^2+3*x^4)/(x-1)/(3*x^4+4*x^3+2*x^2+1) lgdogf] A116727 6.51191 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=12,a(4)=22} ogf] A116727 7.18556 [-(11955*f(x)-2974)*(-3*x^4+f(x)*x^2-4*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A116727 8.59304 [-(6*x^4-8*x^3-12*x^2-4*x-2)/(-3*x^5-x^4+2*x^3+2*x^2-x+1) lgdogf] A116728 10.0925 [-(-4*x^3+12*x^2+4*x+2)/(4*x^4-2*x^3-2*x^2+x-1) lgdogf] A116728 14.3420 [(4*x^3+2*x^2+1)/(x-1)^2 ogf] A116728 18.2151 [2*(-1-2*x+2*x^3-6*x^2)/(x-1)/(4*x^3+2*x^2+1) lgdogf] A116728 7.10865 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A116728 8.09402 [(497*f(x)-418)*(f(x)*x^2-4*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A116729 4.44156 [(x^5+x^4-2*x^3-2*x^2+x-1)/(x-1)^3 ogf] A116729 5.96604 [2*(1+x+x^5-2*x^3+4*x^2-2*x^4)/(x-1)/(x^5+x^4-2*x^3-2*x^2+x-1) lgdogf] A116730 10.5514 [-(2*x^3+x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A116730 12.8156 [-2*(-1+x^5+2*x^3-x^2+2*x^4)/(x-1)/(x^2+x-1)/(2*x^3+x^2-x+1) lgdogf] A116730 4.46405 [{(-3*n-8)*a(n+1)-3*a(n+2)+(6*n+13)*a(n+3)+(-3*n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A116730 5.60315 [-(159*f(x)+122)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x+x^2-f(x)-x+1) ogf] A116730 7.52275 [-(2*x^5+4*x^4+4*x^3-2*x^2-2)/(2*x^6+x^5-5*x^4+x^3+3*x^2-3*x+1) lgdogf] A116731 11.5171 [(3*x^2-2*x+1)/(x-1)^4 ogf] A116731 13.2447 [-(-6*x^2-2)/(-3*x^3+5*x^2-3*x+1) lgdogf] A116731 24.3607 [-2*(1+3*x^2)/(x-1)/(3*x^2-2*x+1) lgdogf] A116731 3.99337 [{(n+4)*a(n+4)+(-11-3*n)*a(n+3)+(5*n+10)*a(n+2)+(-3*n-9)*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A116731 5.88652 [-(32*f(x)+23)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A116732 16.1106 [x^3/(x^4-x^3-x^2-x+1) ogf] A116732 19.6433 [-(-1-2*x+4*x^3-3*x^2)/(-x^2+1-x+x^4-x^3) lgdogf] A116732 7.97394 [f(x)*x^4-f(x)*x^3-f(x)*x^2-x^3-f(x)*x+f(x) ogf] A116732 9.86775 [-(4*x^3-3*x^2-2*x-1)/(x^4-x^3-x^2-x+1) lgdogf] A116733 10.5578 [-(x^4+2*x^3+2*x^2-x+1)/(x-1)^3 ogf] A116733 15.3359 [(-2-2*x-4*x^3-8*x^2+x^4)/(x-1)/(x^4+2*x^3+2*x^2-x+1) lgdogf] A116733 5.56816 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=12,a(4)=24} ogf] A116733 6.11242 [(10825*f(x)-858)*(f(x)*x^3+x^4-3*f(x)*x^2+2*x^3+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A116733 9.23809 [-(x^4-4*x^3-8*x^2-2*x-2)/(-x^5-x^4+3*x^2-2*x+1) lgdogf] A116734 10.8123 [-2*(-1+x^6+2*x^5+4*x^3-x^2-x^4)/(x-1)/(x^3+x^2-x+1)/(x^3+x^2+x-1) lgdogf] A116734 9.30890 [-(x^3+x^2-x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A116735 12.0139 [-(2*x^3+2*x^2-x+1)/(x-1)^3 ogf] A116735 12.9525 [-(8*x^2+2*x+2)/(2*x^4-3*x^2+2*x-1) lgdogf] A116735 21.4050 [-2*(1+x+4*x^2)/(x-1)/(2*x^3+2*x^2-x+1) lgdogf] A116735 6.23277 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A116735 6.73949 [(-131+176*f(x))*(f(x)*x^3-3*f(x)*x^2+2*x^3+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A116736 5.71577 [-(x^2-4*x+2)*(x^6-6*x^5+18*x^4-28*x^3+18*x^2-6*x+1)/(x^4-5*x^3+9*x^2-5*x+1)/(x^5-7*x^4+18*x^3-17*x^2+7*x-1) lgdogf] A116736 6.57329 [-(x^4-5*x^3+9*x^2-5*x+1)/(x^5-7*x^4+18*x^3-17*x^2+7*x-1) ogf] A116737 5.71577 [-(x-1)*(4*x^8+12*x^7+20*x^6+14*x^5+2*x^4+5*x^3+7*x^2+2*x+2)/(x^3+x^2+x-1)/(x^7+x^6-x^5-x^4+2*x^3+x^2+3*x-1) lgdogf] A116737 6.18280 [(x^3+x^2+x-1)/(x^7+x^6-x^5-x^4+2*x^3+x^2+3*x-1) ogf] A116738 11.9645 [(2*x-1)/(x^3-2*x^2+4*x-1) ogf] A116738 13.2180 [-(-2+4*x+4*x^3-7*x^2)/(2*x-1)/(x^3-2*x^2+4*x-1) lgdogf] A116738 5.66178 [{a(n+3)-4*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A116738 6.15649 [(4*f(x)-7)*(f(x)*x^3-2*f(x)*x^2+4*f(x)*x-f(x)-2*x+1) ogf] A116738 7.82863 [-(-4*x^3+7*x^2-4*x+2)/(-2*x^4+5*x^3-10*x^2+6*x-1) lgdogf] A116739 3.74144 [(2*x^9-8*x^8+53*x^7-133*x^6+190*x^5-182*x^4+115*x^3-45*x^2+10*x-1)/(2*x-1)^3/(x-1)^6 ogf] A116740 3.43911 [-(6*x^8-36*x^7+91*x^6-149*x^5+160*x^4-108*x^3+44*x^2-10*x+1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^5 ogf] A116741 4.60961 [-(2*x^6-13*x^5+31*x^4-41*x^3+26*x^2-8*x+1)/(2*x-1)/(x-1)^2/(x^2-3*x+1)^2 ogf] A116742 6.58338 [-(2*x^4-9*x^3+13*x^2-6*x+1)/(2*x-1)/(x^2-3*x+1)^2 ogf] A116742 6.95061 [-(2-14*x+4*x^6-24*x^5-81*x^3+47*x^2+63*x^4)/(2*x-1)/(x^2-3*x+1)/(2*x^4-9*x^3+13*x^2-6*x+1) lgdogf] A116743 5.07693 [-(-2+14*x-65*x^6+115*x^5+x^9-7*x^8+25*x^7+99*x^3-47*x^2-135*x^4)/(x-1)/(x^2-x+1)/(x^3-2*x^2+3*x-1)/(x^4-5*x^3+10*x^2-6*x+1) lgdogf] A116743 5.69052 [-(x^3-2*x^2+3*x-1)*(x-1)^2/(x^2-x+1)/(x^4-5*x^3+10*x^2-6*x+1) ogf] A116744 4.87490 [-(x^2-x+1)*(2*x^4-7*x^3+10*x^2-5*x+1)/(2*x^4-7*x^3+8*x^2-5*x+1)/(x-1)^3 ogf] A116745 3.74872 [-(15*x^8-89*x^7+211*x^6-293*x^5+262*x^4-151*x^3+54*x^2-11*x+1)/(2*x-1)^4/(x-1)^5 ogf] A116746 5.16528 [-(2-20*x-123*x^6-56*x^5+24*x^8+60*x^7-204*x^3+87*x^2+238*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(x^2+2*x-1)/(4*x^4+5*x^3-12*x^2+6*x-1) lgdogf] A116746 6.75377 [-(4*x^4+5*x^3-12*x^2+6*x-1)/(x-1)/(3*x-1)/(2*x-1)/(x^2+2*x-1) ogf] A116747 4.91916 [-(2*x^6-12*x^5+24*x^4-31*x^3+21*x^2-7*x+1)/(2*x-1)/(x^2-3*x+1)/(x-1)^4 ogf] A116748 3.76921 [(x^9-8*x^8+24*x^7-44*x^6+61*x^5-72*x^4+58*x^3-29*x^2+8*x-1)/(2*x-1)/(x^3-2*x^2+3*x-1)/(x-1)^5 ogf] A116749 3.64788 [(5*x^9-30*x^8+80*x^7-153*x^6+230*x^5-231*x^4+143*x^3-53*x^2+11*x-1)/(x^2-3*x+1)/(2*x-1)^3/(x-1)^4 ogf] A116750 4.04467 [(x^8-5*x^7+5*x^6+8*x^5-16*x^4+14*x^3-13*x^2+5*x-1)/(x-1)^7 ogf] A116750 5.46735 [(2-4*x+30*x^6-46*x^5+x^8-8*x^7+8*x^3+23*x^2+8*x^4)/(x-1)/(x^8-5*x^7+5*x^6+8*x^5-16*x^4+14*x^3-13*x^2+5*x-1) lgdogf] A116751 6.67494 [-(x-1)^4/(x^5-6*x^4+13*x^3-12*x^2+6*x-1) ogf] A116751 8.74991 [-(-2+6*x+x^5+11*x^3-15*x^2-5*x^4)/(x-1)/(x^5-6*x^4+13*x^3-12*x^2+6*x-1) lgdogf] A116752 3.96368 [-(5*x^7-28*x^6+64*x^5-88*x^4+73*x^3-35*x^2+9*x-1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^4 ogf] A116753 4.28125 [-(8*x^7-41*x^6+84*x^5-103*x^4+79*x^3-36*x^2+9*x-1)/(2*x-1)^3/(x-1)^5 ogf] A116753 5.26276 [-(2-16*x+161*x^6-242*x^5+16*x^8-84*x^7-178*x^3+69*x^2+267*x^4)/(x-1)/(2*x-1)/(8*x^7-41*x^6+84*x^5-103*x^4+79*x^3-36*x^2+9*x-1) lgdogf] A116754 6.83172 [(x^6+2*x^5-12*x^4+25*x^3-20*x^2+7*x-1)/(x-1)/(2*x-1)^4 ogf] A116754 7.04621 [(x^2-4*x+2)*(2*x^5-x^4+10*x^3-12*x^2+4*x-1)/(x-1)/(2*x-1)/(x^6+2*x^5-12*x^4+25*x^3-20*x^2+7*x-1) lgdogf] A116755 4.66377 [-(x^6-4*x^5+15*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116755 7.25316 [-(2-4*x+x^6-2*x^5+4*x^3+23*x^2+25*x^4)/(x-1)/(x^6-4*x^5+15*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116756 5.11971 [(9*x^6-24*x^5-23*x^4-8*x^3-3*x^2+x-1)/(x-1)^3 ogf] A116756 5.43410 [(2+4*x+27*x^6-102*x^5+92*x^3+27*x^2+97*x^4)/(x-1)/(9*x^6-24*x^5-23*x^4-8*x^3-3*x^2+x-1) lgdogf] A116757 6.68512 [-(8*x^5-22*x^4+30*x^3-21*x^2+7*x-1)/(2*x-1)^3/(x-1)^3 ogf] A116757 7.13019 [-(2-12*x+16*x^6-40*x^5-80*x^3+43*x^2+74*x^4)/(x-1)/(2*x-1)/(8*x^5-22*x^4+30*x^3-21*x^2+7*x-1) lgdogf] A116758 4.81196 [-(x^7-4*x^6+4*x^5-4*x^4+13*x^3-14*x^2+6*x-1)/(x-1)^2/(x^2-3*x+1)^2 ogf] A116759 4.56070 [-(x^6-8*x^5+15*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116759 7.08925 [-(2-4*x+x^6-10*x^5+4*x^3+23*x^2+5*x^4)/(x-1)/(x^6-8*x^5+15*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116760 7.13854 [(9*x^3-13*x^2+6*x-1)/(2*x-1)/(x^2-3*x+1)^2 ogf] A116760 7.87718 [-(-2+14*x+36*x^5+89*x^3-47*x^2-87*x^4)/(2*x-1)/(9*x^3-13*x^2+6*x-1)/(x^2-3*x+1) lgdogf] A116761 6.08924 [(2*x^6-8*x^5+20*x^4-30*x^3+21*x^2-7*x+1)/(2*x-1)^3/(x-1)^3 ogf] A116761 7.00671 [-(-2+12*x+2*x^6+20*x^5+88*x^3-43*x^2-80*x^4)/(x-1)/(2*x-1)/(2*x^6-8*x^5+20*x^4-30*x^3+21*x^2-7*x+1) lgdogf] A116762 3.88086 [(x^9-4*x^8+3*x^7+x^6+8*x^5-17*x^4+14*x^3-13*x^2+5*x-1)/(x-1)^7 ogf] A116763 5.41483 [(2*x^6-18*x^5+39*x^4-45*x^3+27*x^2-8*x+1)/(x-1)^2/(2*x-1)^4 ogf] A116763 6.73038 [(2-14*x+20*x^6-54*x^5-105*x^3+53*x^2+102*x^4)/(x-1)/(2*x-1)/(2*x^6-18*x^5+39*x^4-45*x^3+27*x^2-8*x+1) lgdogf] A116764 4.38125 [(1618*f(x)+201)*(9*f(x)*x^4-19*f(x)*x^3+17*f(x)*x^2+6*x^3-7*f(x)*x-9*x^2+f(x)+5*x-1) ogf] A116764 6.18025 [-(2-16*x+54*x^6-162*x^5-142*x^3+61*x^2+204*x^4)/(2*x-1)/(27*x^6-84*x^5+117*x^4-91*x^3+41*x^2-10*x+1) lgdogf] A116764 7.98608 [-(2*x-1)*(3*x^2-3*x+1)/(9*x^4-19*x^3+17*x^2-7*x+1) ogf] A116765 4.67665 [-(3*x^6+6*x^5-9*x^4+5*x^3-9*x^2+4*x-1)/(x-1)^6 ogf] A116765 6.76041 [-(-2+2*x+24*x^5-21*x^3-21*x^2+12*x^4)/(x-1)/(3*x^6+6*x^5-9*x^4+5*x^3-9*x^2+4*x-1) lgdogf] A116766 4.30464 [-(6*x^8-7*x^7-7*x^6+4*x^5+11*x^4+x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A116767 4.02169 [-(2*x^8-3*x^7+x^6-9*x^5+15*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116767 5.53910 [(-2+4*x+20*x^6+12*x^5+2*x^8-16*x^7-4*x^3-23*x^2)/(x-1)/(2*x^8-3*x^7+x^6-9*x^5+15*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116768 6.15638 [-(-2+14*x-18*x^6+45*x^5+6*x^7+107*x^3-51*x^2-107*x^4)/(x-1)/(2*x-1)/(x^2-3*x+1)/(3*x^4-6*x^3+10*x^2-5*x+1) lgdogf] A116768 7.94961 [-(3*x^4-6*x^3+10*x^2-5*x+1)/(2*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A116769 4.35749 [-(3*x^7-20*x^6+54*x^5-71*x^4+57*x^3-29*x^2+8*x-1)/(2*x-1)^2/(x-1)^6 ogf] A116769 5.37452 [-(2-14*x+143*x^6-178*x^5+6*x^8-47*x^7-121*x^3+57*x^2+158*x^4)/(x-1)/(2*x-1)/(3*x^7-20*x^6+54*x^5-71*x^4+57*x^3-29*x^2+8*x-1) lgdogf] A116770 5.38483 [(3*x^6-12*x^5+22*x^4-30*x^3+21*x^2-7*x+1)/(2*x-1)^3/(x-1)^3 ogf] A116770 6.66440 [-(-2+12*x+3*x^6-2*x^5+80*x^3-43*x^2-54*x^4)/(x-1)/(2*x-1)/(3*x^6-12*x^5+22*x^4-30*x^3+21*x^2-7*x+1) lgdogf] A116771 3.81098 [-(x^9-3*x^8+3*x^7-4*x^6+19*x^5-32*x^4+27*x^3-18*x^2+6*x-1)/(x-1)^8 ogf] A116771 5.07392 [(2-6*x-13*x^6-33*x^5+x^9-9*x^8+21*x^7-7*x^3+27*x^2+33*x^4)/(x-1)/(x^9-3*x^8+3*x^7-4*x^6+19*x^5-32*x^4+27*x^3-18*x^2+6*x-1) lgdogf] A116772 5.01841 [-(2-16*x+167*x^6-234*x^5+17*x^8-74*x^7-142*x^3+61*x^2+221*x^4)/(x-1)/(x^4+3*x^3-5*x^2+4*x-1)/(2*x^5-13*x^4+21*x^3-17*x^2+7*x-1) lgdogf] A116772 6.25206 [-(x-1)*(x^4+3*x^3-5*x^2+4*x-1)/(2*x^5-13*x^4+21*x^3-17*x^2+7*x-1) ogf] A116773 5.36463 [-(4*x^5-15*x^4+26*x^3-20*x^2+7*x-1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^2 ogf] A116774 4.56070 [-(x^6-5*x^5+13*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116774 7.08925 [-(2-4*x+x^6-4*x^5-4*x^3+23*x^2+14*x^4)/(x-1)/(x^6-5*x^5+13*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116775 5.69851 [(2-10*x+100*x^6-5*x^5+8*x^8-52*x^7-57*x^3+35*x^2+7*x^4)/(x-1)/(2*x-1)/(4*x^7-5*x^6-11*x^5+13*x^4-19*x^3+16*x^2-6*x+1) lgdogf] A116775 5.83520 [(4*x^7-5*x^6-11*x^5+13*x^4-19*x^3+16*x^2-6*x+1)/(2*x-1)^2/(x-1)^4 ogf] A116776 5.38879 [(x^6-14*x^5+37*x^4-45*x^3+27*x^2-8*x+1)/(x-1)^2/(2*x-1)^4 ogf] A116776 6.83269 [(2-14*x+20*x^6-72*x^5-113*x^3+53*x^2+126*x^4)/(x-1)/(2*x-1)/(x^6-14*x^5+37*x^4-45*x^3+27*x^2-8*x+1) lgdogf] A116777 5.16528 [-(2-20*x+183*x^6-370*x^5+9*x^8-54*x^7-244*x^3+91*x^2+397*x^4)/(x-1)/(-1+3*x)/(x^2-3*x+1)/(3*x^5-12*x^4+23*x^3-19*x^2+7*x-1) lgdogf] A116777 5.58933 [-(3*x^5-12*x^4+23*x^3-19*x^2+7*x-1)/(3*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A116778 5.40232 [-(2-12*x+60*x^6-94*x^5+9*x^8-36*x^7-92*x^3+43*x^2+108*x^4)/(x-1)/(-1+3*x)/(x^2-x+1)/(3*x^5-9*x^4+11*x^3-11*x^2+5*x-1) lgdogf] A116778 5.60960 [-(3*x^5-9*x^4+11*x^3-11*x^2+5*x-1)/(3*x-1)/(x^2-x+1)/(x-1)^3 ogf] A116779 6.61802 [-(-2+10*x-3*x^6+14*x^5+x^7+51*x^3-29*x^2-38*x^4)/(x-1)/(x^3-3*x^2+4*x-1)/(x^4-2*x^3+6*x^2-4*x+1) lgdogf] A116779 6.82486 [-(x^4-2*x^3+6*x^2-4*x+1)/(x^3-3*x^2+4*x-1)/(x-1)^2 ogf] A116780 5.68739 [-(2*x^5-6*x^4+10*x^3-11*x^2+5*x-1)/(2*x^6-8*x^5+19*x^4-27*x^3+19*x^2-7*x+1) ogf] A116781 7.78236 [-(2+6*x^6+8*x^5+4*x^7+2*x^3+5*x^2-11*x^4)/(2*x^5-2*x^3-x^2-3*x+1)/(x^3+x^2+x-1) lgdogf] A116781 8.15171 [-(x^3+x^2+x-1)/(2*x^5-2*x^3-x^2-3*x+1) ogf] A116782 4.36532 [-(293*f(x)+122)*(2*f(x)*x^4-9*f(x)*x^3+11*f(x)*x^2+2*x^3-6*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A116782 8.00593 [-(-2+10*x+4*x^5+31*x^3-25*x^2-16*x^4)/(x-1)/(2*x-1)/(2*x^4-9*x^3+11*x^2-6*x+1) lgdogf] A116782 8.17100 [-(2*x-1)*(x-1)^2/(2*x^4-9*x^3+11*x^2-6*x+1) ogf] A116783 4.76683 [-(3*x^6+x^5+17*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116783 7.07606 [-(2-4*x+3*x^6+20*x^5+12*x^3+23*x^2+56*x^4)/(x-1)/(3*x^6+x^5+17*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116784 4.97838 [-(3*x^6+4*x^5-27*x^4+40*x^3-26*x^2+8*x-1)/(x-1)/(x^2-3*x+1)/(2*x-1)^3 ogf] A116785 4.23143 [-(3*x^7-15*x^6+34*x^5-54*x^4+52*x^3-28*x^2+8*x-1)/(2*x-1)/(x^2-3*x+1)/(x-1)^5 ogf] A116786 5.17237 [-(6*x^6-22*x^5+35*x^4-36*x^3+22*x^2-7*x+1)/(2*x-1)/(3*x^3-5*x^2+4*x-1)/(x-1)^3 ogf] A116787 4.00223 [-(x^8-x^7+2*x^6+2*x^5-7*x^4+17*x^3-15*x^2+6*x-1)/(x^9-2*x^8+6*x^7-4*x^6-7*x^5+32*x^4-40*x^3+25*x^2-8*x+1) ogf] A116788 5.43814 [-(2-16*x+89*x^6-174*x^5+4*x^8-28*x^7-158*x^3+65*x^2+219*x^4)/(x-1)/(2*x-1)/(x^2-3*x+1)/(2*x^5-9*x^4+16*x^3-15*x^2+6*x-1) lgdogf] A116788 5.78922 [-(2*x^5-9*x^4+16*x^3-15*x^2+6*x-1)/(2*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A116789 4.69525 [-(4*x^7+4*x^6+11*x^5+8*x^4+4*x^3+4*x^2-3*x+1)/(x^2+x-1)/(x^3+x^2+x-1)/(x-1)^3 ogf] A116790 7.38449 [-(x-1)^3/(x^5+x^4-6*x^3+7*x^2-5*x+1) ogf] A116790 9.17621 [-(2-4*x+2*x^5-4*x^3+11*x^2-4*x^4)/(x-1)/(x^5+x^4-6*x^3+7*x^2-5*x+1) lgdogf] A116791 4.12679 [-(x^7-6*x^6+20*x^5-30*x^4+27*x^3-18*x^2+6*x-1)/(x-1)^8 ogf] A116791 6.11529 [-(-2+6*x-5*x^6+24*x^5+x^7+15*x^3-27*x^2-20*x^4)/(x-1)/(x^7-6*x^6+20*x^5-30*x^4+27*x^3-18*x^2+6*x-1) lgdogf] A116792 4.05327 [(x^9-4*x^8+3*x^7+5*x^6-9*x^5+2*x^4-6*x^3+10*x^2-5*x+1)/(x^2-3*x+1)/(x^3+x^2+x-1)/(x-1)^3 ogf] A116793 5.50136 [-(2-12*x+13*x^6-28*x^5+x^8-4*x^7-72*x^3+39*x^2+65*x^4)/(x^4-2*x^3+6*x^2-4*x+1)/(x^5-3*x^4+11*x^3-12*x^2+6*x-1) lgdogf] A116793 6.50553 [-(x^4-2*x^3+6*x^2-4*x+1)/(x^5-3*x^4+11*x^3-12*x^2+6*x-1) ogf] A116794 4.44712 [-(2*x^8-4*x^6+11*x^5-x^4+6*x^3-10*x^2+5*x-1)/(x^2-3*x+1)/(x^3+x^2+x-1)/(x-1)^3 ogf] A116795 3.95104 [(x^7-5*x^6+8*x^5-9*x^4+17*x^3-15*x^2+6*x-1)/(x^2+1)/(x^2-3*x+1)/(x^3-x^2-2*x+1)/(x-1)^3 ogf] A116796 8.25385 [-(-2+10*x+8*x^5+45*x^3-29*x^2-31*x^4)/(x-1)/(x^2-3*x+1)/(4*x^3-9*x^2+5*x-1) lgdogf] A116796 8.46455 [(4*x^3-9*x^2+5*x-1)/(x-1)/(x^2-3*x+1)^2 ogf] A116797 5.84110 [-(3*x^5-4*x^4+4*x^3-7*x^2+4*x-1)/(4*x^6-7*x^5+9*x^4-15*x^3+13*x^2-6*x+1) ogf] A116798 5.37014 [-(2*f(x)+1)*(3*f(x)*x^4-11*f(x)*x^3+15*f(x)*x^2+2*x^3-7*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A116798 7.00372 [-(2-16*x+6*x^6-42*x^5-94*x^3+53*x^2+92*x^4)/(2*x-1)/(x^2-3*x+1)/(3*x^4-11*x^3+15*x^2-7*x+1) lgdogf] A116798 9.72065 [-(2*x-1)*(x^2-3*x+1)/(3*x^4-11*x^3+15*x^2-7*x+1) ogf] A116800 7.44013 [(x^5-3*x^4+7*x^3-10*x^2+5*x-1)/(x^2-3*x+1)/(3*x^3-5*x^2+4*x-1) ogf] A116801 4.47146 [-(x^7-x^6+3*x^5-3*x^4+9*x^3-10*x^2+5*x-1)/(x^8-x^7+4*x^6-7*x^5+19*x^4-24*x^3+18*x^2-7*x+1) ogf] A116802 4.70615 [-(2*x^6-10*x^5+31*x^4-41*x^3+26*x^2-8*x+1)/(2*x-1)/(x-1)^2/(x^2-3*x+1)^2 ogf] A116803 4.39726 [-(3*x^7-7*x^6-3*x^5+17*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116803 6.27096 [-(2-4*x+14*x^6-48*x^5+12*x^3+23*x^2+36*x^4)/(x-1)/(3*x^7-7*x^6-3*x^5+17*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116804 4.41093 [-(5*x^8-2*x^7-x^6+9*x^5+10*x^4+x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A116804 5.24757 [(-2+13*x^6+6*x^5+15*x^8-44*x^7-42*x^3-21*x^2-55*x^4)/(x-1)/(5*x^8-2*x^7-x^6+9*x^5+10*x^4+x^3+6*x^2-3*x+1) lgdogf] A116805 5.45810 [-(2*x-1)*(x^4-3*x^3+6*x^2-4*x+1)/(2*x^2-4*x+1)/(x-1)^4 ogf] A116805 5.91160 [-(-2+14*x-16*x^6+56*x^5+4*x^7+95*x^3-47*x^2-108*x^4)/(x-1)/(2*x-1)/(2*x^2-4*x+1)/(x^4-3*x^3+6*x^2-4*x+1) lgdogf] A116806 5.30005 [-(4*x^5-13*x^4+23*x^3-19*x^2+7*x-1)/(x-1)/(x^3-3*x^2+4*x-1)/(2*x-1)^2 ogf] A116807 5.99244 [-(x^8-2*x^7-x^6+4*x^5-x^4-6*x^2+4*x-1)/(2*x-1)/(x-1)/(x^2-3*x+1) ogf] A116808 3.96860 [-(5*x^8-12*x^7+3*x^6+11*x^5-26*x^4+34*x^3-22*x^2+7*x-1)/(2*x-1)/(x^2+x-1)/(x-1)^6 ogf] A116809 6.70882 [-(x-1)^4/(x^5-5*x^4+13*x^3-12*x^2+6*x-1) ogf] A116809 8.92090 [-(-2+6*x+x^5+7*x^3-15*x^2-5*x^4)/(x-1)/(x^5-5*x^4+13*x^3-12*x^2+6*x-1) lgdogf] A116810 3.34528 [-(x^9-11*x^8+47*x^7-109*x^6+162*x^5-165*x^4+109*x^3-44*x^2+10*x-1)/(x^2-3*x+1)^2/(x-1)^6 ogf] A116812 3.78832 [(x^9-2*x^8-10*x^7+35*x^6-64*x^5+75*x^4-59*x^3+29*x^2-8*x+1)/(x-1)^2/(3*x^3-5*x^2+4*x-1)^2 ogf] A116814 3.47410 [-(4*x^8-35*x^7+114*x^6-197*x^5+208*x^4-135*x^3+52*x^2-11*x+1)/(2*x-1)^2/(x^2-3*x+1)^2/(x-1)^3 ogf] A116815 4.14899 [(2*x^10+4*x^9+9*x^8+9*x^7+4*x^6-18*x^5-15*x^4-5*x^3-x^2+x-1)/(x-1)/(x^3+x^2+x-1)/(x^5+3*x^4+2*x^3+x^2+x-1) ogf] A116816 5.60960 [-(2*x^5-9*x^4+14*x^3-14*x^2+6*x-1)/(x-1)/(2*x^3-4*x^2+4*x-1)/(x^2-3*x+1) ogf] A116817 5.76969 [-(2-12*x-3*x^6+20*x^5+x^8-4*x^7-40*x^3+31*x^2+9*x^4)/(x-1)/(x^4-2*x^3-5*x^2+5*x-1)/(x^4-2*x^3-4*x^2+4*x-1) lgdogf] A116817 6.64322 [-(x^4-2*x^3-4*x^2+4*x-1)/(x-1)/(x^4-2*x^3-5*x^2+5*x-1) ogf] A116818 4.34723 [-(2*x^7-11*x^6+16*x^5-33*x^4+27*x^3-18*x^2+6*x-1)/(x-1)^8 ogf] A116818 6.24104 [-(-2+6*x-8*x^6-18*x^5+2*x^7+3*x^3-27*x^2-52*x^4)/(x-1)/(2*x^7-11*x^6+16*x^5-33*x^4+27*x^3-18*x^2+6*x-1) lgdogf] A116819 4.4036 [(1307*f(x)+462)*(3*f(x)*x^4-14*f(x)*x^3+16*f(x)*x^2+3*x^3-7*f(x)*x-8*x^2+f(x)+5*x-1) ogf] A116819 6.68004 [-(2-16*x+9*x^6-48*x^5-110*x^3+57*x^2+109*x^4)/(3*x^3-8*x^2+5*x-1)/(3*x^4-14*x^3+16*x^2-7*x+1) lgdogf] A116819 8.02682 [-(3*x^3-8*x^2+5*x-1)/(3*x^4-14*x^3+16*x^2-7*x+1) ogf] A116820 5.22724 [-(2-20*x+150*x^6-342*x^5+x^8-20*x^7-240*x^3+91*x^2+380*x^4)/(x-1)/(x^4-13*x^3+16*x^2-7*x+1)/(x^4-10*x^3+13*x^2-6*x+1) lgdogf] A116820 7.53335 [-(x^4-10*x^3+13*x^2-6*x+1)/(x-1)/(x^4-13*x^3+16*x^2-7*x+1) ogf] A116821 5.60529 [-(x^6-10*x^4+17*x^3-14*x^2+6*x-1)/(2*x^6-14*x^5+34*x^4-38*x^3+24*x^2-8*x+1) ogf] A116822 4.32241 [-(x^7-3*x^6+12*x^5-18*x^4+22*x^3-16*x^2+6*x-1)/(x^8-4*x^7+18*x^6-35*x^5+51*x^4-47*x^3+26*x^2-8*x+1) ogf] A116823 4.29183 [-(262*f(x)+117)*(2*f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2+x^3-7*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A116823 7.10374 [-(2-16*x+2*x^6-28*x^5-94*x^3+53*x^2+85*x^4)/(x^2-3*x+1)/(2*x^2-4*x+1)/(x^3-7*x^2+5*x-1) lgdogf] A116823 7.98608 [-(x^3-7*x^2+5*x-1)/(x^2-3*x+1)/(2*x^2-4*x+1) ogf] A116824 4.71530 [-(4*x^6-2*x^5+17*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116824 6.84062 [-(2-4*x+4*x^6+20*x^5+12*x^3+23*x^2+41*x^4)/(x-1)/(4*x^6-2*x^5+17*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116825 5.70500 [(2*x^9-16*x^8+15*x^7+13*x^6-8*x^5-11*x^4-x^3-6*x^2+3*x-1)/(x-1)^5 ogf] A116826 5.19177 [-(2-16*x+145*x^6-250*x^5+16*x^8-56*x^7-166*x^3+65*x^2+263*x^4)/(x-1)/(4*x^3-7*x^2+5*x-1)/(4*x^5-11*x^4+18*x^3-15*x^2+6*x-1) lgdogf] A116826 5.61741 [-(4*x^5-11*x^4+18*x^3-15*x^2+6*x-1)/(4*x^3-7*x^2+5*x-1)/(x-1)^3 ogf] A116827 3.45721 [-(4*x^8-33*x^7+91*x^6-151*x^5+161*x^4-108*x^3+44*x^2-10*x+1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^5 ogf] A116828 3.57445 [-(x^8+2*x^7-18*x^6+47*x^5-65*x^4+55*x^3-28*x^2+8*x-1)/(x^9+2*x^8-27*x^7+86*x^6-144*x^5+150*x^4-100*x^3+42*x^2-10*x+1) ogf] A116829 3.94626 [(x^9-5*x^8+6*x^7+x^6+2*x^5-17*x^4+14*x^3-13*x^2+5*x-1)/(x-1)^7 ogf] A116830 5.53923 [(2*x^6+3*x^5+4*x^4+2*x^3-9*x^2+5*x-1)/(2*x-1)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A116831 3.98332 [-(x^8-9*x^7+31*x^6-62*x^5+74*x^4-58*x^3+29*x^2-8*x+1)/(2*x-1)/(x^3-2*x^2+3*x-1)/(x-1)^5 ogf] A116832 5.07298 [(-2+4*x-27*x^6-22*x^5+2*x^9-13*x^8+32*x^7-23*x^2-7*x^4)/(x-1)/(x^9-4*x^8+3*x^7+6*x^6-7*x^5+14*x^4-14*x^3+13*x^2-5*x+1) lgdogf] A116832 5.08233 [-(x^9-4*x^8+3*x^7+6*x^6-7*x^5+14*x^4-14*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A116833 5.40413 [-(2*x^7-8*x^6+19*x^5-29*x^4+27*x^3-18*x^2+6*x-1)/(x-1)^8 ogf] A116833 5.96877 [-(-2+6*x-2*x^6+9*x^5+2*x^7+19*x^3-27*x^2-21*x^4)/(x-1)/(2*x^7-8*x^6+19*x^5-29*x^4+27*x^3-18*x^2+6*x-1) lgdogf] A116834 5.08675 [-(x^6+16*x^5+13*x^4+x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A116834 7.28829 [(-2+x^6-6*x^5-54*x^3-21*x^2-93*x^4)/(x-1)/(x^6+16*x^5+13*x^4+x^3+6*x^2-3*x+1) lgdogf] A116836 3.95343 [-(2*x^8-7*x^7+7*x^6-8*x^5+8*x^4-12*x^3+11*x^2-5*x+1)/(2*x^9-7*x^8+7*x^7-10*x^6+16*x^5-27*x^4+29*x^3-19*x^2+7*x-1) ogf] A116837 10.6731 [-(2-4*x-8*x^3+11*x^2+2*x^4)/(x-1)/(x^2-x+1)/(2*x^2-4*x+1) lgdogf] A116837 4.43745 [(154*f(x)+17)*(2*f(x)*x^4-6*f(x)*x^3+7*f(x)*x^2+x^3-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A116837 8.06810 [-(x-1)^3/(x^2-x+1)/(2*x^2-4*x+1) ogf] A116838 3.31009 [(x^9-8*x^8+34*x^7-97*x^6+183*x^5-205*x^4+135*x^3-52*x^2+11*x-1)/(2*x-1)^2/(x^2-3*x+1)^2/(x-1)^3 ogf] A116839 3.60845 [(2*x^10-x^9-11*x^8+6*x^7+7*x^6-20*x^5+8*x^4+18*x^3-19*x^2+7*x-1)/(2*x-1)/(x^2+2*x-1)/(x^2+x-1)^2/(x-1)^3 ogf] A116840 3.81777 [(x^8-6*x^7+17*x^6-40*x^5+58*x^4-52*x^3+28*x^2-8*x+1)/(2*x-1)/(x^2-3*x+1)/(x-1)^5 ogf] A116842 5.24352 [-(18*x^6+31*x^5+22*x^4+8*x^3+3*x^2-x+1)/(x-1)^3 ogf] A116842 5.50307 [(-2-4*x+54*x^6-46*x^5-88*x^3-27*x^2-133*x^4)/(x-1)/(18*x^6+31*x^5+22*x^4+8*x^3+3*x^2-x+1) lgdogf] A116843 3.96368 [-(8*x^7-26*x^6+60*x^5-87*x^4+73*x^3-35*x^2+9*x-1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^4 ogf] A116844 4.53493 [-(x^6-3*x^5+13*x^4-14*x^3+12*x^2-5*x+1)/(x-1)^7 ogf] A116844 7.59749 [-(2-6*x+x^6-4*x^3+18*x^2+24*x^4)/(x-1)/(x^6-3*x^5+13*x^4-14*x^3+12*x^2-5*x+1) lgdogf] A116845 7.79748 [-(2-12*x+x^6-5*x^5-36*x^3+30*x^2+19*x^4)/(x-1)/(x^2-3*x+1)/(x^4-4*x^3+8*x^2-5*x+1) lgdogf] A116845 7.97518 [-(x^4-4*x^3+8*x^2-5*x+1)/(x-1)/(x^2-3*x+1)^2 ogf] A116846 5.21305 [(2-6*x+25*x^6-30*x^5+x^8-8*x^7-4*x^3+18*x^2+9*x^4)/(x-1)/(x^8-4*x^7+3*x^6+6*x^5-13*x^4+14*x^3-12*x^2+5*x-1) lgdogf] A116846 5.26984 [(x^9-4*x^8+4*x^7-x^6+8*x^5-21*x^4+23*x^3-16*x^2+6*x-1)/(x-1)^7 ogf] A116847 3.98524 [{(n+4)*a(n+1)+(-4*n-13)*a(n+2)+(4*n+7)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A116847 6.90487 [-(-2+12*x-7*x^6+19*x^5+x^7+50*x^3-34*x^2-35*x^4)/(x-1)/(x^2-3*x+1)/(x^5-5*x^4+9*x^3-10*x^2+5*x-1) lgdogf] A116847 6.98299 [-(x^5-5*x^4+9*x^3-10*x^2+5*x-1)/(x^2-3*x+1)/(x-1)^4 ogf] A116848 5.15988 [-(2-14*x+83*x^6-120*x^5+12*x^8-40*x^7-104*x^3+50*x^2+135*x^4)/(3*x^4-5*x^3+7*x^2-4*x+1)/(4*x^5-10*x^4+17*x^3-14*x^2+6*x-1) lgdogf] A116848 7.78689 [-(3*x^4-5*x^3+7*x^2-4*x+1)/(4*x^5-10*x^4+17*x^3-14*x^2+6*x-1) ogf] A116849 11.8650 [-(2-6*x-4*x^3+10*x^2+x^4)/(x-1)/(x^4-6*x^3+8*x^2-5*x+1) lgdogf] A116849 4.68844 [-(10*f(x)+1)*(f(x)*x^4-6*f(x)*x^3+8*f(x)*x^2+x^3-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A116849 6.72485 [-(-x^4+4*x^3-10*x^2+6*x-2)/(-x^5+7*x^4-14*x^3+13*x^2-6*x+1) lgdogf] A116849 8.64623 [-(x-1)^3/(x^4-6*x^3+8*x^2-5*x+1) ogf] A116850 6.86798 [-(7*x^5-20*x^4+28*x^3-20*x^2+7*x-1)/(2*x-1)^3/(x-1)^3 ogf] A116850 7.35013 [-(2-14*x+14*x^6-38*x^5-80*x^3+46*x^2+73*x^4)/(x-1)/(2*x-1)/(7*x^5-20*x^4+28*x^3-20*x^2+7*x-1) lgdogf] A116851 6.87121 [-(2*x^5-8*x^4+11*x^3-11*x^2+5*x-1)/(2*x-1)/(x-1)^5 ogf] A116851 7.55822 [-2*(1-5*x+2*x^6-8*x^5-17*x^3+14*x^2+8*x^4)/(x-1)/(2*x-1)/(2*x^5-8*x^4+11*x^3-11*x^2+5*x-1) lgdogf] A116862 7.41846 [3*f(x)^2*x^3+6*f(x)^2*x^2+7*f(x)*x-f(x)+1 ogf] A116862 8.60682 [1/6*(3*(4*x^2+8*x+1)^(1/2)*x+(4*x^2+8*x+1)^(1/2)-1-7*x-6*x^2)/x^2 revogf] A116867 13.3763 [-(-1+12*x+5*(1-12*x)^(1/2))/(x+2)/(-1+12*x) lgdogf] A116867 15.1363 [1/2*(13-4*x+5*(1-8*x)^(1/2))*x/(x+3)^2 revogf] A116867 3.81275 [{(12*n+30)*a(n+1)+(23*n+32)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A116867 6.38221 [-f(x)^2*x^2-4*f(x)^2*x-4*f(x)^2-6*f(x)*x+13*f(x)-9 ogf] A116867 8.15504 [-(12*x-1+5*(-12*x+1)^(1/2))/(12*x^2+23*x-2) lgdogf] A116873 4.95812 [3*f(x)^2*x^2+4*f(x)^2*x+f(x)^2-12*f(x)*x-2*f(x)+8*x+1 ogf] A116874 5.26168 [8*f(x)^2*x^2+14*f(x)^2*x+3*f(x)^2-39*f(x)*x-6*f(x)+25*x+3 ogf] A116875 5.12157 [1/2*(-7+290*x-1800*x^3-355*x^2+3*(-(-1+40*x)*(-1+60*x+145*x^2)^2)^(1/2))/(1+5*x)/(9*x+1)/(-1+40*x)/(x+2) lgdogf] A116875 5.55079 [5*f(x)^2*x^2+11*f(x)^2*x+2*f(x)^2-29*f(x)*x-4*f(x)+18*x+2 ogf] A116876 5.00871 [1/2*(-85+4200*x-28224*x^3-5172*x^2+7*(-(-1+48*x)*(-5+360*x+972*x^2)^2)^(1/2))/(49*x+5)/(2*x+5)/(1+6*x)/(-1+48*x) lgdogf] A116876 5.72309 [12*f(x)^2*x^2+32*f(x)^2*x+5*f(x)^2-81*f(x)*x-10*f(x)+49*x+5 ogf] A116877 5.61141 [(-15+861*x-6272*x^3-1064*x^2+6*(-(-1+56*x)*(-1+84*x+252*x^2)^2)^(1/2))/(-1+56*x)/(32*x+3)/(7*x+1)/(x+3) lgdogf] A116877 6.01335 [7*f(x)^2*x^2+22*f(x)^2*x+3*f(x)^2-54*f(x)*x-6*f(x)+32*x+3 ogf] A116878 5.24321 [16*f(x)^2*x^2+58*f(x)^2*x+7*f(x)^2-139*f(x)*x-14*f(x)+81*x+7 ogf] A116879 6.82066 [20-128*x-400*x^2+(-2+36*x-320*x^3-120*x^2)*f(x)+(15*x^2-64*x^4-48*x^3-x)*f(x)^2 lgdogf] A116881 4.40142 [-8*f(x)^2*x^3-15*f(x)^2*x^2-6*f(x)^2*x-16*f(x)*x^2+f(x)^2+10*f(x)*x-f(x)-8*x ogf] A116914 6.2886 [4*f(x)^2*x^4+15*f(x)^2*x^3+12*f(x)^2*x^2-4*f(x)^2*x-4*f(x)*x^2+5*f(x)*x-f(x)+1 ogf] A116915 8.78862 [-(x^4+x^3-x^2-x+1)/(-x^5+1) ogf_with_Euler_transform] A116917 8.47810 [(-1-2*x+4*x^5+34*x^7-10*x^3+20*x^9-22*x^8-39*x^6-4*x^2-14*x^4)/(x-1)/(x^2+1)/(5*x^7+x^6+4*x^5+3*x^4+x^3+2*x^2+1) lgdogf] A116917 9.97651 [-(5*x^7+x^6+4*x^5+3*x^4+x^3+2*x^2+1)/(x^2+1)/(x-1) ogf] A116921 12.0558 [-(1+x+x^5-2*x^3+2*x^6+4*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^5-2*x^4+x^3+1) lgdogf] A116921 12.3989 [x*(2*x^5-2*x^4+x^3+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A116922 10.2358 [-(2*x^6-2*x^5+x^4-x^3-x^2-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A116922 8.93720 [(1+3*x-7*x^5-x^7+3*x^3+2*x^9-2*x^8+x^6+5*x^2+11*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^6-2*x^5+x^4-x^3-x^2-1) lgdogf] A116930 13.5434 [-(x^5-4*x^3+3*x+1)/(x^2-1) ogf_with_Euler_transform] A116940 11.9684 [-(2*x^3+2*x^2-10*x-6)/(x^4-4*x^2+3) lgdogf] A116940 14.4881 [x*(x^2-3)/(x+1)/(x-1)^3 ogf] A116940 20.8695 [-2*(-3-5*x+x^3+x^2)/(x-1)/(x+1)/(x^2-3) lgdogf] A116940 7.50746 [(86*f(x)-551)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x-f(x)+3*x) ogf] A116951 7.46167 [-x*(3*x^4-6*x^3+39*x^2+6*x+1)/(3*x^6+90*x^3-1) ogf] A116952 11.7185 [-(12*x^2+6*x-8)/(12*x^3-13*x^2+1) lgdogf] A116952 16.4060 [(4*x+1)/(3*x-1)/(x-1) ogf] A116952 16.8624 [-1/2*(-1-4*x+(1+24*x+4*x^2)^(1/2))/(-4+3*x) revogf] A116952 18.1271 [-2*(-4+3*x+6*x^2)/(x-1)/(-1+3*x)/(4*x+1) lgdogf] A116952 8.48583 [(13*f(x)+19)*(3*f(x)*x^2-4*f(x)*x+f(x)-4*x-1) ogf] A116952 9.00327 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=8} ogf] A116955 13.5570 [-2*(-5+11*x+3*x^3-25*x^2)/(x-1)/(9*x^4-30*x^3+20*x^2-6*x-1) lgdogf] A116955 5.36061 [(184*f(x)+2981)*(f(x)*x^4-4*f(x)*x^3+9*x^4+6*f(x)*x^2-30*x^3-4*f(x)*x+20*x^2+f(x)-6*x-1) ogf] A116955 8.66821 [-(-6*x^3+50*x^2-22*x+10)/(-9*x^5+39*x^4-50*x^3+26*x^2-5*x-1) lgdogf] A116955 9.36566 [-(9*x^4-30*x^3+20*x^2-6*x-1)/(x-1)^4 ogf] A116966 11.3692 [-(3+x-x^5+8*x^3+4*x^6+8*x^2+9*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3-x^2+2*x+1) lgdogf] A116966 12.1082 [(2*x^3-x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A116969 10.3533 [-(x^3-2*x^2-5*x+4)/(x+1)/(2*x-1)/(x-1)^2 ogf] A116969 10.7290 [-(-7+5*x+2*x^5-29*x^3+27*x^2-6*x^4)/(x-1)/(2*x-1)/(x+1)/(x^3-2*x^2-5*x+4) lgdogf] A116969 4.19581 [{(-2*n-4)*a(n+1)+a(n+2)*n+(2*n+3)*a(n+3)+(-n-1)*a(n+4),a(0)=4,a(1)=7,a(2)=15,a(3)=27} ogf] A116969 5.42315 [-(1086*f(x)-1883)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-2*x^2-f(x)-5*x+4) ogf] A116970 14.3061 [(6*x+1)/(3*x-1)/(x-1) ogf] A116970 15.3878 [-1/6*(-1-4*x+(1+32*x+4*x^2)^(1/2))/(-2+x) revogf] A116970 15.7725 [-2*(-5+3*x+9*x^2)/(x-1)/(-1+3*x)/(1+6*x) lgdogf] A116970 7.39971 [(17*f(x)+33)*(3*f(x)*x^2-4*f(x)*x+f(x)-6*x-1) ogf] A116970 7.75634 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=10} ogf] A116970 9.46729 [-(18*x^2+6*x-10)/(18*x^3-21*x^2+2*x+1) lgdogf] A116971 10.0708 [2*(2*x^2+2*x-5)/(4*x-1)/(x-1)^2 ogf] A116971 11.3338 [-2*(14-33*x+4*x^3+12*x^2)/(x-1)/(-1+4*x)/(2*x^2+2*x-5) lgdogf] A116971 5.07635 [(461689*f(x)-7971004)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-4*x^2-f(x)-4*x+10) ogf] A116971 5.38267 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=10,a(1)=56,a(2)=242} ogf] A116971 7.34576 [-(8*x^3+24*x^2-66*x+28)/(8*x^4-2*x^3-28*x^2+27*x-5) lgdogf] A116972 11.0365 [-(21-19*x+39*x^3-57*x^2)/(-1+3*x)/(x-1)/(13*x^2-16*x-1) lgdogf] A116972 5.07968 [(45740*f(x)-806047)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-13*x^2-f(x)+16*x+1) ogf] A116972 5.43614 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=21,a(2)=85} ogf] A116972 6.96315 [-(-39*x^3+57*x^2+19*x-21)/(-39*x^4+100*x^3-74*x^2+12*x+1) lgdogf] A116972 9.83683 [(13*x^2-16*x-1)/(3*x-1)/(x-1)^2 ogf] A116973 10.3954 [-(3*x^2-7*x-1)/(x-1)/(3*x-1)/(x+1) ogf] A116973 5.51407 [(173*f(x)+618)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+3*x^2+f(x)-7*x-1) ogf] A116973 5.56245 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=10,a(2)=28} ogf] A116973 9.86101 [-(10-4*x-42*x^3+7*x^2+9*x^4)/(x-1)/(-1+3*x)/(x+1)/(3*x^2-7*x-1) lgdogf] A116975 11.2451 [-(1+2*x^7+2*x^3+x^6+3*x^2+5*x^4)/(x+1)/(x^2-x+1)/(x^5+x^4+x-1) lgdogf] A116975 12.4904 [-(x^2-x+1)*(x+1)/(x^5+x^4+x-1) ogf] A116996 10.1061 [-2*(2+2*x+6*x^3+3*x^6+5*x^2+6*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^3-x^2+2*x+1) lgdogf] A116996 8.30755 [-x*(2*x^3-x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A117058 4.47146 [-(500*x^8-200*x^7-200*x^6-100*x^5-106*x^4+2*x^3+2*x^2+x+2)/(x-1)/(10*x^2-1)/(10*x^2+1)/(10*x^4-1) ogf] A117066 10.0100 [-(3*x^2+6*x+1)/(x-1)^5 ogf] A117066 11.9817 [-(9*x^2+30*x+11)/(3*x^3+3*x^2-5*x-1) lgdogf] A117066 21.5652 [-(11+30*x+9*x^2)/(x-1)/(3*x^2+6*x+1) lgdogf] A117066 3.91481 [{(n+4)*a(n+4)+(4+5*n)*a(n+3)+(-36-3*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=1,a(1)=11,a(2)=48,a(3)=140} ogf] A117079 8.17617 [-(x^7+x^4+1)/(x+1)/(2*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A117080 10.8720 [-(x^3-x^2-1)/(x-1)/(x^3+2*x-1) ogf] A117080 12.1842 [-(3-2*x+x^6-2*x^5+2*x^3-3*x^2-x^4)/(x-1)/(x^3-x^2-1)/(x^3+2*x-1) lgdogf] A117080 5.70974 [-(61*f(x)+56)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+x^3-3*f(x)*x-x^2+f(x)-1) ogf] A117081 11.0975 [-(-3599*x^2+5362*x-1979)/(-3599*x^3+9879*x^2-9033*x+2753) lgdogf] A117081 13.4755 [-(3599*x^2-6280*x+2753)/(x-1)^3 ogf] A117081 18.8805 [-(1979-5362*x+3599*x^2)/(x-1)/(3599*x^2-6280*x+2753) lgdogf] A117081 7.14611 [(265208*f(x)-41308789)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3599*x^2-f(x)-6280*x+2753) ogf] A117081 7.79576 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2753,a(1)=1979,a(2)=1277} ogf] A117088 10.8536 [-(30*x^2+10*x-12)/(30*x^3-31*x^2+1) lgdogf] A117088 14.3312 [-1/2*(-1-6*x+(1+36*x+16*x^2)^(1/2))/(-6+5*x) revogf] A117088 15.6774 [(6*x+1)/(5*x-1)/(x-1) ogf] A117088 15.7643 [-2*(-6+5*x+15*x^2)/(x-1)/(5*x-1)/(1+6*x) lgdogf] A117088 8.10904 [(31*f(x)+41)*(5*f(x)*x^2-6*f(x)*x+f(x)-6*x-1) ogf] A117088 8.49982 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=12} ogf] A117106 4.90968 [{(-n^2-n)*a(n)+(-11*n^2-77*n-126)*a(n+1)+(n^2+13*n+42)*a(n+2),a(0)=1,a(1)=2} ogf] A117110 12.7122 [-x*(5*x+1)/(2*x+1)/(4*x-1) ogf] A117110 14.6039 [1/2/(5+8*x)*(-2*x-1+(36*x^2+24*x+1)^(1/2)) revogf] A117110 14.9601 [-(7+16*x+40*x^2)/(1+5*x)/(-1+4*x)/(2*x+1) lgdogf] A117110 6.16731 [{a(n+3)-2*a(n+2)-8*a(n+1),a(0)=0,a(1)=1,a(2)=7} ogf] A117110 7.32822 [-f(x)*(8*f(x)*x^2+2*f(x)*x+5*x^2-f(x)+x) ogf] A117110 9.16026 [-(-40*x^2-16*x-7)/(-40*x^3-18*x^2+3*x+1) lgdogf] A117142 10.6016 [-(-3*x^3+3*x^2+4*x+2)/(-x^4+x^3+2*x^2-x-1) lgdogf] A117142 11.0146 [(x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A117142 19.3446 [-(-2-4*x+3*x^3-3*x^2)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A117143 6.63766 [(x^5-x^4-x^3+x+1)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A117143 9.46223 [-(2+6*x-5*x^5+10*x^3+4*x^8-8*x^6+11*x^2+4*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^5-x^4-x^3+x+1) lgdogf] A117152 10.8005 [-(-7-8*x+4*x^5+20*x^3-2*x^2-2*x^4)/(x-1)/(x^2+x-1)/(x^3+3*x+1) lgdogf] A117152 6.69798 [x^2*(x^3+3*x+1)/(x-1)/(x^2+x-1)^3 ogf] A117186 4.11652 [-8*f(x)^2*x^4+4*f(x)^2*x^3+2*f(x)^2*x^2-4*f(x)*x^3-f(x)^2*x-4*f(x)*x^2+f(x)*x-x^2+f(x)-2*x-1 ogf] A117188 10.4764 [-(x-1)*(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A117188 22.1480 [[x^5-2*x] ogf_with_Euler_transform] A117188 5.90688 [-(3*f(x)-19)*(f(x)*x^4+f(x)*x^2+x^2+f(x)-1) ogf] A117188 9.91512 [-(-2*x^5+4*x^3+4*x)/(-x^6+1) lgdogf] A117189 12.4756 [-(x-1)^2/(2*x^3-4*x^2+4*x-1) ogf] A117189 15.9051 [-2*(-1+2*x+x^3-3*x^2)/(x-1)/(2*x^3-4*x^2+4*x-1) lgdogf] A117189 6.79472 [(8*f(x)-11)*(2*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A117189 6.79473 [{a(n+3)-4*a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A117189 9.51262 [-(-2*x^3+6*x^2-4*x+2)/(-2*x^4+6*x^3-8*x^2+5*x-1) lgdogf] A117199 8.17376 [-(1+6*x+28*x^5+22*x^7+22*x^3+25*x^6+12*x^8+6*x^9+11*x^2+23*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(3*x^4+3*x^3+4*x^2+2*x+1) lgdogf] A117199 8.95762 [-(3*x^4+3*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2+1) ogf] A117202 14.2581 [-2*(x-1)*(2*x^2-x+2)/(x^2-3*x+1)/(1+2*x^2-2*x) lgdogf] A117202 3.82621 [{(n^2+5*n+6)*a(n+1)+(-3*n^2-12*n-9)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A117202 4.82434 [(575*f(x)+152)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-2*x^3-6*f(x)*x+2*x^2+f(x)-x) ogf] A117202 8.32200 [-(4*x^3-6*x^2+6*x-4)/(2*x^4-8*x^3+9*x^2-5*x+1) lgdogf] A117202 8.99676 [x*(2*x^2-2*x+1)/(x^2-3*x+1)^2 ogf] A117216 12.9919 [-8*(x+1)*(5*x^2+38*x+5)/(x-1)/(x^4+36*x^3+118*x^2+36*x+1) lgdogf] A117216 4.83744 [(1290*f(x)+60197)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-36*x^3-4*f(x)*x-118*x^2+f(x)-36*x-1) ogf] A117216 7.70042 [-(-40*x^3-344*x^2-344*x-40)/(-x^5-35*x^4-82*x^3+82*x^2+35*x+1) lgdogf] A117216 8.47911 [(x^4+36*x^3+118*x^2+36*x+1)/(x-1)^4 ogf] A117218 7.17253 [-x*(55*x^14-65*x^13+17*x^8-51*x^7+44*x^6-5*x^5+11*x^4+x+1)/(x-1)^3 ogf] A117225 4.45263 [-(257597*x^4-939254*x^3+1294076*x^2-797574*x+185371)/(x-1)^5 ogf] A117230 9.38577 [-(9*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A117248 10.7451 [-(-2*x^3+6*x^2+6*x+2)/(-x^6+2*x^4+2*x^3-2*x-1) lgdogf] A117248 11.7755 [-x^3*(x^2+x+1)*(x^2-x-1)/(x+1)^2/(x-1)^2 ogf] A117248 16.1384 [-2*(-1-3*x+x^3-3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x-1) lgdogf] A117275 15.5796 [-(x^4+x^2+x)/(x^4-1) ogf_with_Euler_transform] A117276 13.8090 [-(x^4-x^2-x-2)/(-x^4+1) ogf_with_Euler_transform] A117302 10.3209 [-(-2+16*x^7-7*x^6)/(x-1)/(2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A117302 14.9321 [1/(2*x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A117302 8.87270 [-(16*x^7-7*x^6-2)/(2*x^8-x^7-2*x+1) lgdogf] A117304 12.7395 [-6*(145*x^5-160*x^4-2)/(x-1)^2 ogf] A117304 14.3483 [(4+435*x^5+640*x^3-1045*x^4)/(x-1)/(145*x^5-160*x^4-2) lgdogf] A117304 8.14280 [-(-435*x^5+1045*x^4-640*x^3-4)/(145*x^6-305*x^5+160*x^4-2*x+2) lgdogf] A117339 11.1381 [-(2*x^3+1)*(3*x^4+x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A117353 11.4369 [-(-2+2*x-24*x^3+11*x^2+12*x^4)/(x-1)/(2*x-1)/(2*x^3-x^2-x+1) lgdogf] A117353 11.4767 [(x-1)/(2*x-1)/(2*x^3-x^2-x+1) ogf] A117353 5.55618 [-(9*f(x)+38)*(4*f(x)*x^4-4*f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A117353 7.07150 [-(12*x^4-24*x^3+11*x^2+2*x-2)/(4*x^5-8*x^4+3*x^3+4*x^2-4*x+1) lgdogf] A117363 12.5807 [-(2*x-1)/(x^3-x^2+1) ogf] A117363 16.4846 [-(-2+2*x+4*x^3-5*x^2)/(2*x-1)/(x^3-x^2+1) lgdogf] A117363 6.55801 [{-a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A117363 6.77421 [-(26*f(x)-61)*(f(x)*x^3-f(x)*x^2+f(x)+2*x-1) ogf] A117363 7.70566 [-(4*x^3-5*x^2+2*x-2)/(2*x^4-3*x^3+x^2+2*x-1) lgdogf] A117373 10.0628 [-(3*x-1)/(x^2-x+1) ogf] A117373 14.3420 [-1/2*(-x-1+(1-10*x-3*x^2)^(1/2))/(x+3) revogf] A117373 16.0293 [-(-2-2*x+3*x^2)/(-1+3*x)/(x^2-x+1) lgdogf] A117373 5.08796 [-(f(x)-2)*(f(x)*x^2-f(x)*x+f(x)+3*x-1) ogf] A117373 5.52229 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-2} ogf] A117374 10.6854 [-(3*x-1)/(x^3-x^2+1) ogf] A117374 13.6699 [-(-3+2*x+6*x^3-6*x^2)/(-1+3*x)/(x^3-x^2+1) lgdogf] A117374 5.57003 [{-a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=1} ogf] A117374 5.69112 [-(79*f(x)-486)*(f(x)*x^3-f(x)*x^2+f(x)+3*x-1) ogf] A117376 4.25225 [-9*f(x)^2*x^4+2*f(x)^2*x^3+9*f(x)^2*x^2-11*f(x)^2*x-6*f(x)*x^2+2*f(x)^2+2*f(x)*x-f(x)-1 ogf] A117378 10.1549 [-(4*x^2-2*x-3)/(4*x^3-5*x^2+5*x-1) lgdogf] A117378 10.3161 [f(x)*x^2-f(x)*x+f(x)+4*x-1 ogf] A117378 13.9743 [-1/2*(-x-1+(-3*x^2-14*x+1)^(1/2))/(4+x) revogf] A117378 14.4426 [-(4*x-1)/(x^2-x+1) ogf] A117378 16.0293 [-(-3-2*x+4*x^2)/(-1+4*x)/(x^2-x+1) lgdogf] A117378 7.92579 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=-3} ogf] A117379 11.0538 [-(4*x-1)/(x^3-x^2+1) ogf] A117379 14.0998 [-(-4+2*x+8*x^3-7*x^2)/(-1+4*x)/(x^3-x^2+1) lgdogf] A117379 5.7621 [-(174*f(x)-2093)*(f(x)*x^3-f(x)*x^2+f(x)+4*x-1) ogf] A117379 5.76211 [{-a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=-4,a(2)=1} ogf] A117381 3.80565 [-16*f(x)^2*x^4+3*f(x)^2*x^3+16*f(x)^2*x^2-19*f(x)^2*x-8*f(x)*x^2+3*f(x)^2+3*f(x)*x-2*f(x)-1 ogf] A117397 3.13799 [{(n^2+8*n+12)*a(n+1)+(-2*n^2-20*n-42)*a(n+2)+(n^2+13*n+34)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=4,a(2)=19,a(3)=109} ogf] A117410 19.8236 [-(-2*x+1)/(x^2-1) ogf_with_Euler_transform] A117410 99.9999 Evaluated at exp(-Pi) 1/4*exp(5/24*Pi)*Pi^(1/2)*2^(7/8)/GAMMA(3/4)^2 A117412 13.195 [-f(x)*x^2+2*f(x)*x-f(x)+200 ogf] A117412 22.9971 [200/(x-1)^2 ogf] A117412 28.7463 [2/(-x+1) lgdogf] A117412 30.3789 [2*x/(10+(100+2*x)^(1/2))^2 revogf] A117412 9.35927 [{-a(n+2)+2*a(n+1)-a(n),a(0)=200,a(1)=400} ogf] A117412 98.7315 [-2/(x-1) lgdogf] A117413 13.1004 [-(x-1)*(x+1)/(x^4+4*x^3-2*x^2+1) ogf] A117413 14.1549 [-2*x*(1+x^4-2*x^2-6*x+2*x^3)/(x-1)/(x+1)/(x^4+4*x^3-2*x^2+1) lgdogf] A117413 7.00987 [(63040*f(x)-8313)*(f(x)*x^4+4*f(x)*x^3-2*f(x)*x^2+x^2+f(x)-1) ogf] A117413 7.61071 [-(2*x^5+4*x^4-4*x^3-12*x^2+2*x)/(x^6+4*x^5-3*x^4-4*x^3+3*x^2-1) lgdogf] A117439 11.0567 [-(x-1)*(x+1)/(x^4-2*x^2-4*x+1) ogf] A117439 11.4387 [-2*(2+x+x^5-2*x^3+2*x^2)/(x-1)/(x+1)/(x^4-2*x^2-4*x+1) lgdogf] A117439 6.56493 [-(2*x^5-4*x^3+4*x^2+2*x+4)/(x^6-3*x^4-4*x^3+3*x^2+4*x-1) lgdogf] A117439 9.34958 [-f(x)*(f(x)*x^4-2*f(x)*x^2-4*f(x)*x+x^2+f(x)-1) ogf] A117441 10.1656 [-(x^2-x-1)/(x^4-x^2+1) ogf] A117441 15.5610 [-(1+2*x^5-4*x^3+x^2-3*x^4)/(x^2-x-1)/(x^4-x^2+1) lgdogf] A117441 5.51850 [{-a(n+4)+a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A117441 8.16116 [-f(x)*x^4+f(x)*x^2-x^2-f(x)+x+1 ogf] A117444 12.8502 [-(-2+2*x^5+10*x^3+5*x^2+10*x^4)/(x^2+3*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A117444 5.42317 [f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x-3*x^2+f(x)-x ogf] A117444 8.24618 [x*(x^2+3*x+1)/(x^4+x^3+x^2+x+1) ogf] A117447 10.0338 [-(1+6*x+6*x^5+10*x^3+x^6+9*x^2+9*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^3+3*x^2+2*x+1) lgdogf] A117447 10.5499 [-(x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x+1) ogf] A117447 6.06619 [(2*f(x)-29)*(f(x)*x^4+f(x)*x^3+x^3-f(x)*x+3*x^2-f(x)+2*x+1) ogf] A117448 10.0714 [-(2*x^4+2*x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2 ogf] A117448 8.88099 [-x*(2+7*x^4+5*x^6+7*x^2+6*x^8+6*x^7+5*x^5+5*x-x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^4+2*x^3+x^2+x+1) lgdogf] A117450 6.91049 [-(1+2*x-2*x^5+2*x^7+2*x^3+2*x^9+2*x^8+7*x^6+2*x^2+12*x^4)/(x-1)/(x^2+1)/(x^3-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A117450 8.23372 [-(x^2+1)*(x^3-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A117451 10.6611 [-x*(2-3*x^4+x^6+x^2+x^8+x^7+5*x^5+x+11*x^3)/(x-1)/(x^2+1)/(x^3-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A117451 13.3227 [(x^2+1)*(x^3-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A117452 13.0598 [-(x^2+1)*(x^3-x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A117452 7.66226 [-(-1+2*x-4*x^5+3*x^6+10*x^4)/(x-1)/(x^2+1)/(x^3-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A117465 5.20723 [{(n+5)*a(n)+(-n+3)*a(n+2),a(0)=9,a(1)=0,a(2)=15,a(3)=0,a(4)=105,a(5)=24} ogf] A117465 5.39189 [3*(10*x^12-50*x^10+105*x^8-160*x^6-8*x^5-40*x^4+10*x^2-3)/(x-1)^5/(x+1)^5 ogf] A117465 5.74795 [10*x*(1+120*x^4-20*x^6+8*x^2-12*x^10+29*x^8+4*x^5+2*x^12+4*x^3)/(x-1)/(x+1)/(10*x^12-50*x^10+105*x^8-160*x^6-8*x^5-40*x^4+10*x^2-3) lgdogf] A117472 5.22723 [-(19652*f(x)-74287)*(f(x)*x^4-6*f(x)*x^2+13*x^3+13*x^2+f(x)-53*x-25) ogf] A117472 6.23658 [-(53+274*x+26*x^5-100*x^3+13*x^6+279*x^2-81*x^4)/(x^2-2*x-1)/(x^2+2*x-1)/(13*x^3+13*x^2-53*x-25) lgdogf] A117472 8.86358 [-(13*x^3+13*x^2-53*x-25)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A117473 6.23446 [(5*x^4+7*x^3-18*x^2-21*x-7)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A117474 5.32350 [-(-8-80*x-28*x^5+2*x^7+66*x^3+3*x^8-13*x^6+85*x^2+29*x^4)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1)/(3*x^4+x^3-10*x^2-3*x-5) lgdogf] A117474 6.48154 [(3*x^4+x^3-10*x^2-3*x-5)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A117475 5.58531 [-(107916*f(x)-442423)*(f(x)*x^4-6*f(x)*x^2+17*x^3+17*x^2+f(x)-65*x-37) ogf] A117475 6.78771 [-(65+410*x+34*x^5-148*x^3+17*x^6+339*x^2-93*x^4)/(x^2+2*x-1)/(x^2-2*x-1)/(17*x^3+17*x^2-65*x-37) lgdogf] A117475 9.63264 [-(17*x^3+17*x^2-65*x-37)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A117476 5.21826 [-(-33-200*x-124*x^5+14*x^7+318*x^3+8*x^8-43*x^6+139*x^2+105*x^4)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1)/(8*x^4+7*x^3-28*x^2-21*x-12) lgdogf] A117476 6.82165 [(8*x^4+7*x^3-28*x^2-21*x-12)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A117485 11.2142 [-(12*x^3+14*x^2+8*x+2)/(x^4+x^3-x-1) lgdogf] A117485 17.7092 [-2*(2*x+1)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A117485 32.9981 [2*x^2+2*x+2 ogf_with_Euler_transform] A117485 8.29852 [1/(x^2+x+1)^2/(x+1)^2/(x-1)^6 ogf] A117486 12.8704 [-2*(2*x^2+x+1)*(5*x^3+3*x^2+3*x+1)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A117486 25.2576 [2*x^3+2*x^2+2*x+2 ogf_with_Euler_transform] A117486 4.87644 [1/(x^2+x+1)^2/(x^2+1)^2/(x+1)^4/(x-1)^8 ogf] A117486 7.76619 [-(-20*x^5-22*x^4-28*x^3-16*x^2-8*x-2)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A117487 19.5241 [2*x^4+2*x^3+2*x^2+2*x+2 ogf_with_Euler_transform] A117487 7.46217 [-2*(3*x^4+2*x^3+3*x^2+x+1)*(5*x^5+7*x^4+7*x^3+6*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A117516 5.62766 [-x*(6*x^8-16*x^6+11*x^4+10*x^3-6*x^2-10*x-3)/(x+1)^3/(x-1)^4 ogf] A117516 6.30081 [(13+43*x+63*x^5-32*x^7-24*x^3+6*x^9-6*x^8+16*x^6+36*x^2-51*x^4)/(x-1)/(x+1)/(6*x^8-16*x^6+11*x^4+10*x^3-6*x^2-10*x-3) lgdogf] A117518 6.27304 [-x*(3*x^8-2*x^7-5*x^6+4*x^5-2*x^4+x^3+x^2-3*x-1)/(x+1)^2/(x-1)^4 ogf] A117518 7.12431 [(5+10*x+26*x^5-20*x^7+2*x^3+6*x^9-8*x^8+20*x^6+10*x^2-19*x^4)/(x-1)/(x+1)/(3*x^8-2*x^7-5*x^6+4*x^5-2*x^4+x^3+x^2-3*x-1) lgdogf] A117520 4.46108 [-x*(x^14+2*x^13+3*x^12+4*x^11+5*x^10+6*x^9+7*x^8+25*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A117524 16.1168 [-(x^4-x^2-x)/(-x+1) ogf_with_Euler_transform] A117525 14.2249 [-(x^5-x^4-2*x^3+3*x)/(x-1) ogf_with_Euler_transform] A117547 10.7861 [x*(9*x^3-52*x^2-x+2)/(x^2-6*x+1) ogf] A117547 11.1484 [(11-108*x-108*x^3+340*x^2+9*x^4)/(x^2-6*x+1)/(9*x^3-52*x^2-x+2) lgdogf] A117547 5.83512 [(22731021*f(x)-6940275095)*(-9*x^4+f(x)*x^2+52*x^3-6*f(x)*x+x^2+f(x)-2*x) ogf] A117547 6.53104 [-(9*x^4-108*x^3+340*x^2-108*x+11)/(-9*x^5+106*x^4-320*x^3+44*x^2+13*x-2) lgdogf] A117560 17.5315 [-(11+3*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2+3*x+2) lgdogf] A117560 5.05730 [{(-n-5)*a(n+1)+(2*n+8)*a(n+2)+(-n-3)*a(n+3),a(0)=2,a(1)=11,a(2)=29} ogf] A117560 5.45184 [(179*f(x)+230)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-3*x-2) ogf] A117560 9.49023 [-(-x^3+3*x^2-3*x-11)/(-x^4+4*x^3-6*x^2+x+2) lgdogf] A117560 9.98323 [(x^3-3*x^2+3*x+2)/(x-1)^4 ogf] A117561 11.8370 [(15+x+x^5+11*x^3-11*x^2-5*x^4)/(x-1)/(x^5-3*x^4+x^3+4*x^2-3*x-3) lgdogf] A117561 8.30562 [-(x^5-3*x^4+x^3+4*x^2-3*x-3)/(x-1)^4 ogf] A117569 11.0189 [-(-x^2+1)/(-x^4-x^3-2*x^2-x-1) lgdogf] A117569 14.1375 [f(x)*x^2-x^2+f(x)-x-1 ogf] A117569 15.2916 [(x^2+x+1)/(x^2+1) ogf] A117569 22.6590 [x^3-x^2-x+1 ogf_with_Euler_transform] A117569 36.4560 [-(x-1)*(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A117569 9.02757 [{a(n+3)+a(n+1),a(0)=1,a(1)=1,a(2)=0} ogf] A117571 10.6917 [-(-4*x^4-2*x^3-6*x^2-5*x-1)/(-2*x^5-x^3+2*x^2+1) lgdogf] A117571 15.7562 [(2*x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A117571 18.3540 [-(2*x+1)*(2*x^3+3*x+1)/(x-1)/(x^2+x+1)/(2*x^2+1) lgdogf] A117571 5.44304 [{(-3*n-11)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+8)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=4} ogf] A117571 8.09099 [(171*f(x)+734)*(f(x)*x^4-f(x)*x^3-f(x)*x-2*x^2+f(x)-1) ogf] A117572 14.5289 [-3*x*(2+2*x^4+3*x^2+3*x+2*x^3)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+1) lgdogf] A117572 14.9801 [(2*x^2+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A117573 10.5044 [-(1+8*x+8*x^5+14*x^3+13*x^2+10*x^4)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+1) lgdogf] A117573 9.85651 [-(2*x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A117575 13.7175 [(x^2+x+1)/(2*x^2+1) ogf] A117575 20.9021 [-(-1+2*x+2*x^2)/(x^2+x+1)/(2*x^2+1) lgdogf] A117575 8.00186 [{a(n+3)+2*a(n+1),a(0)=1,a(1)=1,a(2)=-1} ogf] A117575 8.96209 [(2*f(x)-3)*(2*f(x)*x^2-x^2+f(x)-x-1) ogf] A117575 9.33550 [-(-2*x^2-2*x+1)/(-2*x^4-2*x^3-3*x^2-x-1) lgdogf] A117576 10.5928 [(x^2+x+1)/(x+1)/(2*x^2+1) ogf] A117576 14.7769 [-x*(2+4*x^2+7*x+2*x^3)/(x+1)/(x^2+x+1)/(2*x^2+1) lgdogf] A117576 5.52275 [-(22*f(x)-21)*(2*f(x)*x^3+2*f(x)*x^2+f(x)*x-x^2+f(x)-x-1) ogf] A117576 5.82127 [{-a(n+3)-a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A117585 11.5371 [-(x^2-x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A117585 12.7833 [-(x+1)*(2*x^3-3*x^2+6*x-3)/(x-1)/(x^2-x+1)/(x^2+2*x-1) lgdogf] A117585 3.55437 [{(-n-4)*a(n+1)+(-n-5)*a(n+2)+(3*n+10)*a(n+3)+(-n-3)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=24} ogf] A117585 6.01508 [-(10*f(x)-19)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-x+1) ogf] A117585 7.99734 [-(-2*x^4+x^3-3*x^2-3*x+3)/(-x^5+3*x^3-5*x^2+4*x-1) lgdogf] A117589 13.6931 [-x*(2*x+1)*(4*x^2+1)/(x-1)/(x^4+1) ogf] A117589 14.5931 [-(3+8*x+16*x^7-20*x^3+4*x^6+20*x^2-x^4)/(x-1)/(2*x+1)/(4*x^2+1)/(1+x^4) lgdogf] A117591 12.3429 [-(3*x^2-1)/(2*x-1)/(x^2+x-1) ogf] A117591 14.3684 [-(3-8*x+3*x^2+6*x^4)/(2*x-1)/(3*x^2-1)/(x^2+x-1) lgdogf] A117591 6.17144 [-(11*f(x)+129)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+3*x^2+f(x)-1) ogf] A117591 6.28165 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A117591 7.90500 [-(-6*x^4-3*x^2+8*x-3)/(-6*x^5-3*x^4+11*x^3-2*x^2-3*x+1) lgdogf] A117606 10.9429 [(4+10*x+10*x^5+36*x^3+11*x^8+3*x^6+9*x^2-43*x^4)/(x-1)/(x+1)/(x^2+1)/(11*x^5-7*x^4-3*x^3-5*x^2-4*x-2) lgdogf] A117606 13.5492 [(11*x^5-7*x^4-3*x^3-5*x^2-4*x-2)/(x^2+1)/(x-1)/(x+1) ogf] A117609 11.8494 [-(x^3+4*x^2-2*x+7)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A117614 10.0233 [-(x^2-2*x-1)/(x-1)/(4*x-1)/(x+1) ogf] A117614 10.5066 [-2*(3-8*x^3-3*x^2+2*x^4)/(x-1)/(-1+4*x)/(x+1)/(x^2-2*x-1) lgdogf] A117614 5.22582 [-(47*f(x)+97)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x+x^2+f(x)-2*x-1) ogf] A117614 5.41081 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=6,a(2)=24} ogf] A117614 6.50448 [-(-4*x^4+16*x^3+6*x^2-6)/(-4*x^5+9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A117615 11.7461 [x*(x^2+1)/(x-1)/(4*x-1)/(x+1) ogf] A117615 13.7473 [-4*(-1-x+4*x^2+x^4)/(x-1)/(-1+4*x)/(x+1)/(1+x^2) lgdogf] A117615 5.07217 [{-a(n+4)+4*a(n+3)+a(n+2)-4*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=18} ogf] A117615 5.92501 [-(77*f(x)-15)*(4*f(x)*x^3-f(x)*x^2-x^3-4*f(x)*x+f(x)-x) ogf] A117615 9.17160 [-(4*x^4+16*x^2-4*x-4)/(4*x^5-x^4-4*x+1) lgdogf] A117616 13.9128 [2*x/(x-1)/(4*x-1)/(x+1) ogf] A117616 15.8088 [-2*(2*x+1)*(3*x-2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A117616 5.64032 [{-a(n+3)+4*a(n+2)+a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A117616 8.13086 [4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-2*x ogf] A117616 9.63194 [-(12*x^2-2*x-4)/(4*x^3-x^2-4*x+1) lgdogf] A117617 12.6517 [(2*x+1)/(5*x-1)/(x-1) ogf] A117617 12.6624 [-1/2*(-1-6*x+(1+20*x+16*x^2)^(1/2))/(-2+5*x) revogf] A117617 14.2858 [-2*(-4+5*x+5*x^2)/(x-1)/(2*x+1)/(5*x-1) lgdogf] A117617 6.54397 [(19*f(x)+13)*(5*f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A117617 6.94299 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=8} ogf] A117617 8.49739 [-(10*x^2+10*x-8)/(10*x^3-7*x^2-4*x+1) lgdogf] A117619 12.2032 [-(-8*x^2+10*x-8)/(-8*x^3+21*x^2-20*x+7) lgdogf] A117619 13.1873 [-(8*x^2-13*x+7)/(x-1)^3 ogf] A117619 21.6747 [-2*(4-5*x+4*x^2)/(x-1)/(8*x^2-13*x+7) lgdogf] A117619 6.8707 [-(20*f(x)+679)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-13*x+7) ogf] A117619 7.23550 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=8,a(2)=11} ogf] A117624 3.47475 [-(138756661*x^6-770153280*x^5+1791141703*x^4-2232512922*x^3+1571907177*x^2-592496806*x+93363947)/(x-1)^7 ogf] A117625 11.0557 [-(-9*x^2-16*x-2)/(-9*x^3+10*x^2-2*x+1) lgdogf] A117625 11.9619 [-(9*x^2-x+1)/(x-1)^3 ogf] A117625 21.6554 [-(2+16*x+9*x^2)/(x-1)/(9*x^2-x+1) lgdogf] A117625 6.03035 [-(2673*f(x)-7388)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-x+1) ogf] A117625 6.45728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=12} ogf] A117641 12.1327 [-(-3*x^2+x)/(-x^2+3*x-1) revogf] A117641 27.0106 [-x*(-1+3*x)/(1-3*x+x^2) revogf] A117641 5.91661 [-1/2*(-7*x+3+3*(5*x-1)^(1/2)*(x-1)^(1/2)+2*(x-1)^(1/2)*x*(5*x-1)^(1/2))/(x+3)/(5*x-1)^(1/2)/x/(x-1)^(1/2) lgdogf] A117641 8.1935 [-f(x)^2*x^2-3*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A117642 10.5946 [3*x*(x^2+4*x+1)/(x-1)^4 ogf] A117642 12.0616 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A117642 24.1566 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A117642 3.95961 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=24,a(3)=81} ogf] A117642 5.48253 [-(220*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-12*x^2+f(x)-3*x) ogf] A117644 10.0845 [-(-36*x^2-72*x+45)/(32*x^4-108*x^3+53*x^2+27*x-4) lgdogf] A117644 15.2219 [-(4*x^2-9*x-4)/(8*x-1)/(x-1) ogf] A117644 5.46446 [9*(2*x+5)*(2*x-1)/(x-1)/(-1+8*x)/(4*x^2-9*x-4) lgdogf] A117644 7.68344 [{-a(n+3)+9*a(n+2)-8*a(n+1),a(0)=4,a(1)=45,a(2)=369} ogf] A117644 8.49223 [(37*f(x)+77)*(8*f(x)*x^2-9*f(x)*x+4*x^2+f(x)-9*x-4) ogf] A117647 14.6252 [-2*(1+4*x+2*x^3+x^4)/(x+1)/(x^4+4*x^2-1) lgdogf] A117647 7.93613 [f(x)*x^4+4*f(x)*x^2+x^3+2*x^2-f(x)+x ogf] A117647 9.75754 [-x*(x+1)^2/(x^4+4*x^2-1) ogf] A117651 4.32370 [(4*x^11-4*x^10-14*x^9+14*x^8+16*x^7-16*x^6-4*x^5+3*x^4-3*x^3+2*x^2+x-1)/(x+1)^4/(x-1)^5 ogf] A117662 15.4331 [-(-4*x+14)/(-x^2+4*x-3) lgdogf] A117662 32.7188 [-2*(-7+2*x)/(x-1)/(x-3) lgdogf] A117662 4.97513 [{-3*n*a(n+3)+(10+4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A117662 9.57240 [x^3*(x-3)/(x-1)^5 ogf] A117663 5.72392 [-(46*x^8+24*x^7+63*x^6+39*x^5+178*x^4+21*x^3+27*x^2+6*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A117665 11.6660 [-(-21*x^2-6*x-3)/(-7*x^3+9*x^2-3*x+1) lgdogf] A117665 20.7628 [-3*(1+2*x+7*x^2)/(x-1)/(7*x^2-2*x+1) lgdogf] A117665 3.84920 [{(n+3)*a(n+4)+(-3*n-9)*a(n+3)+(3+9*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=0,a(1)=2,a(2)=6,a(3)=24} ogf] A117665 9.02730 [-2*x*(7*x^2-2*x+1)/(x-1)^5 ogf] A117666 10.3026 [-(x^2-3*x+1)*(x^2+x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A117666 10.7274 [-2*(1+13*x^5-3*x^7+11*x^3+x^8-5*x^6-7*x^2-14*x^4)/(x-1)/(x^2+x+1)/(x^2-3*x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A117671 3.87182 [{(-27*n^2-108*n-105)*a(n+1)+(4*n^2+18*n+18)*a(n+2),a(0)=1,a(1)=6} ogf] A117671 4.09768 [-27*f(x)^3*x^3+4*f(x)^3*x^2-54*f(x)^2*x^2+8*f(x)^2*x-31*f(x)*x+4*f(x)-x-4 ogf] A117671 8.27489 [1/2*(-27*x^2-27*x-4+((x+1)*(9*x+1)*(4+9*x)^2)^(1/2))*(x+1) revogf] A117672 5.71675 [(x^13+3*x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A117676 4.44175 [-x*(x+1)*(x^12+2*x^11+3*x^10+24*x^9-11*x^8+26*x^7-9*x^6+26*x^5-11*x^4+24*x^3+3*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A117691 10.3646 [-(x^7+x^6+x^5-2*x^3-3*x^2-3*x-4)/(x^2+1)^2/(x-1)^2/(x+1)^2 ogf] A117691 8.15426 [-(-3-6*x-12*x^5-32*x^3+x^10+2*x^9+3*x^8-3*x^6-6*x^2-16*x^4)/(x-1)/(x+1)/(x^2+1)/(x^7+x^6+x^5-2*x^3-3*x^2-3*x-4) lgdogf] A117713 6.18613 [-(-3-10*x+54*x^5+28*x^7-6*x^3+166*x^8-3*x^6-25*x^2-15*x^4+120*x^11)/(x-1)/(x+1)/(10*x^3-1)/(6*x^5+2*x^4+x^3+5*x^2+2*x+1)/(x^2-x+1) lgdogf] A117713 7.94352 [(6*x^5+2*x^4+x^3+5*x^2+2*x+1)/(x-1)/(x+1)/(10*x^3-1)/(x^2-x+1) ogf] A117717 20.0580 [-(13+12*x+2*x^3+3*x^2)/(x-1)/(x^3+3*x+2) lgdogf] A117717 4.51839 [{(n^2+14*n+24)*a(n+1)+(-8*n^2-61*n-66)*a(n+2)+(7*n^2+23*n+18)*a(n+3),a(0)=0,a(1)=2,a(2)=13} ogf] A117717 9.79892 [-x*(x^3+3*x+2)/(x-1)^5 ogf] A117717 9.91841 [-(2*x^3+3*x^2+12*x+13)/(x^4-x^3+3*x^2-x-2) lgdogf] A117719 10.3609 [-(x^3+x^2-2*x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A117719 6.53844 [(186*f(x)-7)*(f(x)*x^4-6*f(x)*x^2+x^3+x^2+f(x)-2*x-1) ogf] A117719 9.29565 [-(2+10*x+2*x^5-4*x^3+x^6+9*x^2)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3+x^2-2*x-1) lgdogf] A117727 10.4735 [-(-3-10*x+100*x^5-25*x^2+10*x^4)/(x-1)/(5*x^2+2*x+1)/(10*x^3-1) lgdogf] A117727 10.6895 [(5*x^2+2*x+1)/(x-1)/(10*x^3-1) ogf] A117727 5.95962 [(f(x)+4)*(10*f(x)*x^4-10*f(x)*x^3-f(x)*x-5*x^2+f(x)-2*x-1) ogf] A117748 10.1423 [-3*x*(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A117748 11.4101 [-(3*x^3+5*x^2+8*x+2)/(x^4+x^3-x-1) lgdogf] A117748 19.2807 [-(2+8*x+3*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A117748 32.6913 [-x^2+2*x+2 ogf_with_Euler_transform] A117760 15.8848 [-1/(x^7+x^5+x^3+x-1) ogf] A117760 18.6243 [-(1+3*x^2+5*x^4+7*x^6)/(-1+x+x^3+x^5+x^7) lgdogf] A117760 9.26612 [-(7*x^6+5*x^4+3*x^2+1)/(x^7+x^5+x^3+x-1) lgdogf] A117761 10.6118 [-x*(x^2+x+1)*(x^2-x+1)/(x^7+x^5+x^3+x-1) ogf] A117761 9.09045 [-(1+2*x+4*x^3+3*x^10+6*x^8+9*x^6+2*x^2+3*x^4)/(x^2+x+1)/(x^2-x+1)/(-1+x+x^3+x^5+x^7) lgdogf] A117791 16.9999 [-1/(x^6-x^4+x^2+x-1) ogf] A117791 9.56244 [-(-6*x^5+4*x^3-2*x-1)/(-x^6+x^4-x^2-x+1) lgdogf] A117792 12.0756 [-x*(x^4+1)/(x^6-x^4+x^2+x-1) ogf] A117792 14.8788 [-(1+2*x+4*x^5+2*x^9-3*x^4)/(x^6-x^4+x^2+x-1)/(1+x^4) lgdogf] A117793 12.7634 [-(7+21*x+18*x^3+38*x^2+6*x^4)/(x-1)/(x+1)/(3*x^3+5*x^2+6*x+1) lgdogf] A117793 7.97830 [-(-6*x^4-18*x^3-38*x^2-21*x-7)/(-3*x^5-5*x^4-3*x^3+4*x^2+6*x+1) lgdogf] A117793 8.58535 [-5*x*(3*x^3+5*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A117794 11.6430 [-(11+29*x+27*x^3+65*x^2+12*x^4)/(x-1)/(x+1)/(6*x^3+7*x^2+10*x+1) lgdogf] A117794 7.41392 [-(-12*x^4-27*x^3-65*x^2-29*x-11)/(-6*x^5-7*x^4-4*x^3+6*x^2+10*x+1) lgdogf] A117794 8.21978 [-6*x*(6*x^3+7*x^2+10*x+1)/(x+1)^2/(x-1)^3 ogf] A117795 11.4979 [-(16+38*x+37*x^3+99*x^2+20*x^4)/(x-1)/(x+1)/(10*x^3+9*x^2+15*x+1) lgdogf] A117795 7.36269 [-(-20*x^4-37*x^3-99*x^2-38*x-16)/(-10*x^5-9*x^4-5*x^3+8*x^2+15*x+1) lgdogf] A117795 8.15438 [-7*x*(10*x^3+9*x^2+15*x+1)/(x+1)^2/(x-1)^3 ogf] A117796 10.8328 [-(29+59*x+60*x^3+188*x^2+42*x^4)/(x-1)/(x+1)/(21*x^3+13*x^2+28*x+1) lgdogf] A117796 7.75398 [-9*x*(21*x^3+13*x^2+28*x+1)/(x+1)^2/(x-1)^3 ogf] A117797 10.7506 [-(37+71*x+73*x^3+243*x^2+56*x^4)/(x-1)/(x+1)/(28*x^3+15*x^2+36*x+1) lgdogf] A117797 7.61498 [-10*x*(28*x^3+15*x^2+36*x+1)/(x+1)^2/(x-1)^3 ogf] A117798 11.0375 [-(41+79*x+83*x^3+273*x^2+64*x^4)/(x-1)/(x+1)/(32*x^3+17*x^2+40*x+1) lgdogf] A117798 7.81436 [-20*x*(32*x^3+17*x^2+40*x+1)/(x+1)^2/(x-1)^3 ogf] A117802 3.0517 [(215*f(x)+25668)*(f(x)*x^2+6*x^3-2*f(x)*x-12*x^2+f(x)+4*x-8) ogf] A117802 5.31587 [-2*(x-2)*(3*x^2+2)/(x-1)^2 ogf] A117802 7.53335 [(6+10*x+3*x^3-9*x^2)/(x-1)/(x-2)/(3*x^2+2) lgdogf] A117804 11.5955 [-(-8*x^10+10*x^9+2)/(x^11-x^10+x-1) lgdogf] A117804 15.4374 [2*(-1+4*x^10-5*x^9)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) lgdogf] A117804 16.6976 [(x^2+1)*(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A117804 27.7259 [-x^19+x^9+2 ogf_with_Euler_transform] A117821 5.77715 [-(14*x^9-28*x^8+14*x^7+8*x^6-16*x^5+12*x^4-7*x^3+3*x^2-2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A117822 6.00516 [-(12*x^9-24*x^8+12*x^7+6*x^6-12*x^5+8*x^4-4*x^3+2*x^2-2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A117823 6.37965 [(3-x-226*x^5-96*x^7+48*x^3+36*x^9-60*x^8+288*x^6-28*x^2+38*x^4)/(x-1)/(x^2+x-1)/(12*x^7-24*x^6+12*x^5+6*x^4-8*x^3+1) lgdogf] A117823 7.51030 [-x*(12*x^7-24*x^6+12*x^5+6*x^4-8*x^3+1)/(x^2+x-1)/(x-1)^2 ogf] A117824 7.27434 [-x*(8*x^6-16*x^5+12*x^4-6*x^3+x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A117824 7.30750 [2*(1+77*x^5-12*x^7+34*x^3+8*x^8-28*x^6-11*x^2-68*x^4)/(x-1)/(x^2+x-1)/(8*x^6-16*x^5+12*x^4-6*x^3+x^2-x+1) lgdogf] A117855 11.9479 [(6*f(x)-11)*(3*f(x)*x^2-f(x)+2*x+2) ogf] A117855 12.6946 [-(-3*x^2-6*x-1)/(-3*x^3-3*x^2+x+1) lgdogf] A117855 12.6946 [{-a(n+2)+3*a(n),a(0)=2,a(1)=2} ogf] A117855 19.8160 [-2*(x+1)/(3*x^2-1) ogf] A117855 24.9379 [(-1+(1+2*x+3*x^2)^(1/2))/(2+3*x) revogf] A117855 26.6004 [-(1+6*x+3*x^2)/(x+1)/(3*x^2-1) lgdogf] A117856 11.3003 [(20*f(x)-57)*(4*f(x)*x^2-f(x)+3*x+3) ogf] A117856 12.1832 [-(-4*x^2-8*x-1)/(-4*x^3-4*x^2+x+1) lgdogf] A117856 12.1832 [{-a(n+2)+4*a(n),a(0)=3,a(1)=3} ogf] A117856 19.0176 [-3*(x+1)/(2*x-1)/(2*x+1) ogf] A117856 20.1509 [1/2/(4*x+3)*(-3+(9+16*x^2+12*x)^(1/2)) revogf] A117856 21.2704 [-(1+8*x+4*x^2)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A117857 11.2476 [(15*f(x)-58)*(5*f(x)*x^2-f(x)+4*x+4) ogf] A117857 11.9397 [-(-5*x^2-10*x-1)/(-5*x^3-5*x^2+x+1) lgdogf] A117857 12.1263 [{-a(n+2)+5*a(n),a(0)=4,a(1)=4} ogf] A117857 18.9288 [-4*(x+1)/(5*x^2-1) ogf] A117857 23.8233 [(-2+(4+4*x+5*x^2)^(1/2))/(4+5*x) revogf] A117857 24.5918 [-(1+10*x+5*x^2)/(x+1)/(5*x^2-1) lgdogf] A117858 11.3211 [(42*f(x)-205)*(6*f(x)*x^2-f(x)+5*x+5) ogf] A117858 12.1920 [-(-6*x^2-12*x-1)/(-6*x^3-6*x^2+x+1) lgdogf] A117858 12.3825 [{-a(n+2)+6*a(n),a(0)=5,a(1)=5} ogf] A117858 19.3288 [-5*(x+1)/(6*x^2-1) ogf] A117858 19.9711 [1/2/(5+6*x)*(-5+(25+20*x+24*x^2)^(1/2)) revogf] A117858 25.1250 [-(1+12*x+6*x^2)/(x+1)/(6*x^2-1) lgdogf] A117859 10.5202 [(28*f(x)-165)*(7*f(x)*x^2-f(x)+6*x+6) ogf] A117859 11.3295 [-(-7*x^2-14*x-1)/(-7*x^3-7*x^2+x+1) lgdogf] A117859 11.5065 [{-a(n+2)+7*a(n),a(0)=6,a(1)=6} ogf] A117859 17.9614 [-6*(x+1)/(7*x^2-1) ogf] A117859 23.3254 [-(1+14*x+7*x^2)/(x+1)/(7*x^2-1) lgdogf] A117860 10.9963 [(72*f(x)-497)*(8*f(x)*x^2-f(x)+7*x+7) ogf] A117860 11.8421 [-(-8*x^2-16*x-1)/(-8*x^3-8*x^2+x+1) lgdogf] A117860 12.0272 [{-a(n+2)+8*a(n),a(0)=7,a(1)=7} ogf] A117860 18.7741 [-7*(x+1)/(8*x^2-1) ogf] A117860 19.3951 [1/2/(7+8*x)*(-7+(49+28*x+32*x^2)^(1/2)) revogf] A117860 24.4003 [-(1+16*x+8*x^2)/(x+1)/(8*x^2-1) lgdogf] A117861 10.6408 [(45*f(x)-356)*(9*f(x)*x^2-f(x)+8*x+8) ogf] A117861 11.4594 [-(-9*x^2-18*x-1)/(-9*x^3-9*x^2+x+1) lgdogf] A117861 11.6384 [{-a(n+2)+9*a(n),a(0)=8,a(1)=8} ogf] A117861 18.1673 [-8*(x+1)/(3*x-1)/(3*x+1) ogf] A117861 19.2546 [-(1+18*x+9*x^2)/(-1+3*x)/(1+3*x)/(x+1) lgdogf] A117862 11.9626 [-(6*x^3+6*x^2-6*x-2)/(3*x^4-4*x^2+1) lgdogf] A117862 15.3483 [2*(x+1)/(x-1)/(3*x^2-1) ogf] A117862 17.7583 [-2*(-1-3*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2-1) lgdogf] A117862 7.19875 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=2,a(1)=4,a(2)=10} ogf] A117862 9.68576 [3*f(x)*x^3-3*f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x ogf] A117863 11.2127 [-(8*x^3+8*x^2-8*x-2)/(4*x^4-5*x^2+1) lgdogf] A117863 14.3861 [3*(x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A117863 14.6784 [-2*(-1-4*x+4*x^3+4*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A117863 6.74746 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=3,a(1)=6,a(2)=18} ogf] A117863 7.26154 [(11*f(x)+39)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-3*x-3) ogf] A117864 10.5389 [-(10*x^3+10*x^2-10*x-2)/(5*x^4-6*x^2+1) lgdogf] A117864 14.1182 [4*(x+1)/(x-1)/(5*x^2-1) ogf] A117864 16.3258 [-2*(-1-5*x+5*x^3+5*x^2)/(x-1)/(x+1)/(5*x^2-1) lgdogf] A117864 6.62181 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n),a(0)=4,a(1)=8,a(2)=28} ogf] A117864 7.12632 [(24*f(x)+89)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+f(x)-4*x-4) ogf] A117865 10.7185 [-(12*x^3+12*x^2-12*x-2)/(6*x^4-7*x^2+1) lgdogf] A117865 14.3587 [5*(x+1)/(x-1)/(6*x^2-1) ogf] A117865 16.6120 [-2*(-1-6*x+6*x^3+6*x^2)/(x-1)/(x+1)/(6*x^2-1) lgdogf] A117865 6.67553 [{a(n+3)-a(n+2)-6*a(n+1)+6*a(n),a(0)=5,a(1)=10,a(2)=40} ogf] A117865 7.2477 [(22*f(x)+85)*(6*f(x)*x^3-6*f(x)*x^2-f(x)*x+f(x)-5*x-5) ogf] A117866 10.6536 [-(14*x^3+14*x^2-14*x-2)/(7*x^4-8*x^2+1) lgdogf] A117866 14.2719 [6*(x+1)/(x-1)/(7*x^2-1) ogf] A117866 16.5129 [-2*(-1-7*x+7*x^3+7*x^2)/(x-1)/(x+1)/(7*x^2-1) lgdogf] A117866 6.63517 [{a(n+3)-a(n+2)-7*a(n+1)+7*a(n),a(0)=6,a(1)=12,a(2)=54} ogf] A117866 7.06926 [(145*f(x)+579)*(7*f(x)*x^3-7*f(x)*x^2-f(x)*x+f(x)-6*x-6) ogf] A117867 10.4446 [-(16*x^3+16*x^2-16*x-2)/(8*x^4-9*x^2+1) lgdogf] A117867 13.9918 [7*(x+1)/(x-1)/(8*x^2-1) ogf] A117867 16.1862 [-2*(-1-8*x+8*x^3+8*x^2)/(x-1)/(x+1)/(8*x^2-1) lgdogf] A117867 6.50495 [{a(n+3)-a(n+2)-8*a(n+1)+8*a(n),a(0)=7,a(1)=14,a(2)=70} ogf] A117867 6.9305 [(111*f(x)+455)*(8*f(x)*x^3-8*f(x)*x^2-f(x)*x+f(x)-7*x-7) ogf] A117868 10.6199 [-(18*x^3+18*x^2-18*x-2)/(9*x^4-10*x^2+1) lgdogf] A117868 14.4271 [8*(x+1)/(x-1)/(3*x-1)/(3*x+1) ogf] A117868 14.4510 [-2*(-1-9*x+9*x^3+9*x^2)/(x-1)/(-1+3*x)/(1+3*x)/(x+1) lgdogf] A117868 6.70732 [{a(n+3)-a(n+2)-9*a(n+1)+9*a(n),a(0)=8,a(1)=16,a(2)=88} ogf] A117868 7.14611 [(161*f(x)+674)*(9*f(x)*x^3-9*f(x)*x^2-f(x)*x+f(x)-8*x-8) ogf] A117886 9.78894 [-(-2*x^5+x^4-1)/(x^6-x^5+x-1) ogf_with_Euler_transform] A117899 10.4695 [-(2+10*x+9*x^5+18*x^3+4*x^6+15*x^2+20*x^4)/(x-1)/(x^2+x+1)/(2*x^4+3*x^3+5*x^2+2*x+1) lgdogf] A117899 12.2799 [(2*x^4+3*x^3+5*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A117900 8.74509 [-(1+8*x+32*x^5+6*x^7+33*x^3+20*x^6+22*x^2+34*x^4)/(x-1)/(x+1)/(x^2+x+1)/(2*x^4+4*x^3+4*x^2+2*x+1) lgdogf] A117900 9.30456 [(2*x^4+4*x^3+4*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A117902 10.1135 [-(-4*x^4+6*x^2-2*x)/(-8*x^6-4*x^5+6*x^3+x^2-1) lgdogf] A117902 15.2657 [(2*x^3+x^2-1)/(4*x^3-1) ogf] A117902 19.1140 [-2*x*(x-1)*(2*x^2+2*x-1)/(2*x^3+x^2-1)/(4*x^3-1) lgdogf] A117902 8.51664 [{a(n+4)-4*a(n+1),a(0)=1,a(1)=0,a(2)=-1,a(3)=2} ogf] A117902 9.98865 [(16*f(x)-17)*(4*f(x)*x^3-2*x^3-x^2-f(x)+1) ogf] A117905 10.2064 [-(1+4*x+10*x^5+17*x^3+8*x^2+20*x^4)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A117905 9.63255 [(2*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A117907 5.52417 [(-1+10*x^5+4*x^7+2*x^3+x^10+2*x^9+3*x^8+5*x^6+x^2+3*x^4)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+1) lgdogf] A117909 10.4439 [-(-3*x^5-10*x^3-9*x^2-2)/(-x^6-2*x^4+2*x+1) lgdogf] A117909 14.1085 [(x^3+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A117909 17.7501 [-(2+9*x^2+10*x^3+3*x^5)/(x-1)/(x^2+x+1)/(x^3+2*x+1) lgdogf] A117910 12.0998 [(x^4+x^2+x+1)/(x^2-x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A117910 8.92481 [-(1+2*x+9*x^5+7*x^7+7*x^3+5*x^9+11*x^6+3*x^2+3*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2+x+1) lgdogf] A117917 13.4234 [-2*(-2+3*x+x^2+x^4)/(x-1)/(x^2-x+1)/(x^2+3*x-1) lgdogf] A117917 3.23506 [{(-n-4)*a(n+1)+(-2*n-9)*a(n+2)+(4*n+13)*a(n+3)+(-n-3)*a(n+4),a(0)=1,a(1)=4,a(2)=15,a(3)=52} ogf] A117917 4.87708 [(284*f(x)-33)*(f(x)*x^4+f(x)*x^3-6*f(x)*x^2+5*f(x)*x+x^2-f(x)-x+1) ogf] A117917 7.31564 [-(-2*x^4-2*x^2-6*x+4)/(-x^5-x^4+5*x^3-7*x^2+5*x-1) lgdogf] A117917 9.33009 [-(x^2-x+1)/(x^2+3*x-1)/(x-1)^2 ogf] A117930 28.1775 [x^11+x^2+2 ogf_with_Euler_transform] A117930 6.77129 [-(2+2*x+5*x^2+2*x^3+2*x^4+5*x^5+2*x^6+2*x^7+5*x^8+2*x^9+2*x^10+17*x^11)/(x-1)/(1+x^2+x)/(x+1)/(1-x+x^2)/(x^2+1)/(x^4-x^2+1) lgdogf] A117930 7.64901 [1/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A117950 13.0856 [-(-4*x^2+2*x-4)/(-4*x^3+9*x^2-8*x+3) lgdogf] A117950 13.7292 [-(4*x^2-5*x+3)/(x-1)^3 ogf] A117950 24.1692 [-2*(2-x+2*x^2)/(x-1)/(4*x^2-5*x+3) lgdogf] A117950 7.41132 [(44*f(x)-87)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-5*x+3) ogf] A117950 7.47750 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=4,a(2)=7} ogf] A117951 12.6891 [-(-6*x^2+6*x-6)/(-6*x^3+15*x^2-14*x+5) lgdogf] A117951 13.7292 [-(6*x^2-9*x+5)/(x-1)^3 ogf] A117951 25.6798 [-6*(1-x+x^2)/(x-1)/(6*x^2-9*x+5) lgdogf] A117951 7.41132 [(4*f(x)-101)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-9*x+5) ogf] A117951 7.47750 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=6,a(2)=9} ogf] A117957 26.8409 [-x^4/(x^4-1) ogf_with_Euler_transform] A118000 6.39455 [-x*(2*x^10-2*x^9-2*x^8+2*x^7-x^6+2*x^5-x^4-x^3+x^2+x+1)/(x+1)/(x-1)^3 ogf] A118001 6.60650 [(-2-6*x+3*x^5+11*x^7+4*x^3-14*x^10-28*x^9+28*x^8-9*x^6+14*x^11-9*x^4)/(x-1)/(x+1)/(2*x^10-2*x^9-2*x^8+2*x^7-x^6+2*x^5-x^4-x^3+x^2+x+1) lgdogf] A118001 7.16172 [(2*x^10-2*x^9-2*x^8+2*x^7-x^6+2*x^5-x^4-x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A118002 7.30725 [-x*(x^8-x^7+x^6+x^4+2*x^3+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A118003 9.65700 [(x^8-x^7+x^6+x^4+2*x^3+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A118004 10.9284 [-(72*x-13)/(36*x^2-13*x+1) lgdogf] A118004 10.9695 [-1/72*(-13*x-5+(5+x)^(1/2)*(1+5*x)^(1/2)*5^(1/2))/x revogf] A118004 14.5712 [5*x/(9*x-1)/(4*x-1) ogf] A118004 19.9801 [-(-13+72*x)/(9*x-1)/(-1+4*x) lgdogf] A118004 6.84671 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=0,a(1)=5} ogf] A118004 9.31601 [-36*f(x)*x^2+13*f(x)*x-f(x)+5*x ogf] A118005 11.3655 [-(-90*x-4)/(-45*x^2-4*x+1) lgdogf] A118005 15.0405 [1/90/x*(-1-4*x+(1+8*x+196*x^2)^(1/2)) revogf] A118005 16.7140 [-1/(5*x+1)/(9*x-1) ogf] A118005 20.6111 [-2*(2+45*x)/(1+5*x)/(9*x-1) lgdogf] A118005 6.45769 [-(53*f(x)-45)*(45*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A118005 6.84671 [{-a(n+2)+4*a(n+1)+45*a(n),a(0)=1,a(1)=4} ogf] A118015 10.8558 [-x^3*(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A118015 13.4164 [-(3+4*x+6*x^5+4*x^3+4*x^2+9*x^4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A118015 28.7031 [[x^4-x+3] ogf_with_Euler_transform] A118015 9.49882 [-(6*x^5+9*x^4+4*x^3+4*x^2+4*x+3)/(x^6+x^5-x-1) lgdogf] A118057 11.6708 [-(-3*x^2+30*x+21)/(-3*x^3+21*x^2-17*x-1) lgdogf] A118057 12.8002 [(3*x^2-18*x-1)/(x-1)^3 ogf] A118057 21.0424 [-3*(-7-10*x+x^2)/(x-1)/(3*x^2-18*x-1) lgdogf] A118057 6.90098 [(67*f(x)-877)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+18*x+1) ogf] A118057 6.96152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=57} ogf] A118058 10.0032 [-(-20*x^2+194*x+120)/(-20*x^3+137*x^2-116*x-1) lgdogf] A118058 11.5662 [(20*x^2-117*x-1)/(x-1)^3 ogf] A118058 16.8790 [-2*(-60-97*x+10*x^2)/(x-1)/(20*x^2-117*x-1) lgdogf] A118058 6.06753 [(9612*f(x)-779125)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-20*x^2-f(x)+117*x+1) ogf] A118058 6.38137 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=120,a(2)=337} ogf] A118059 11.0812 [(119*x^2-694*x-1)/(x-1)^3 ogf] A118059 15.3542 [-(-697-1150*x+119*x^2)/(x-1)/(119*x^2-694*x-1) lgdogf] A118059 5.80871 [(7033*f(x)-3355785)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-119*x^2-f(x)+694*x+1) ogf] A118059 6.15625 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=697,a(2)=1969} ogf] A118059 9.35430 [-(-119*x^2+1150*x+697)/(-119*x^3+813*x^2-693*x-1) lgdogf] A118060 11.1345 [(696*x^2-4057*x-1)/(x-1)^3 ogf] A118060 14.4228 [-2*(-2030-3361*x+348*x^2)/(x-1)/(696*x^2-4057*x-1) lgdogf] A118060 5.69669 [(328172*f(x)-914197353)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-696*x^2-f(x)+4057*x+1) ogf] A118060 6.17541 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4060,a(2)=11481} ogf] A118060 9.18592 [-(-696*x^2+6722*x+4060)/(-696*x^3+4753*x^2-4056*x-1) lgdogf] A118061 11.4637 [-3*(-7887-13066*x+1353*x^2)/(x-1)/(4059*x^2-23658*x-1) lgdogf] A118061 4.86208 [(26569*f(x)-431509843)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4059*x^2-f(x)+23658*x+1) ogf] A118061 5.26726 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=23661,a(2)=66921} ogf] A118061 7.34966 [-(-4059*x^2+39198*x+23661)/(-4059*x^3+27717*x^2-23657*x-1) lgdogf] A118061 9.29516 [(4059*x^2-23658*x-1)/(x-1)^3 ogf] A118070 8.71447 [(4+8*x^5-7*x^14+12*x^10-17*x^9+9*x^8+3*x^15+4*x^13)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(x^10-x^9-2*x^5-2) lgdogf] A118070 9.71446 [-x*(x^10-x^9-2*x^5-2)/(x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A118090 5.71963 [-(882*x^11+594*x^10+594*x^9+155*x^8+111*x^7+760*x^6+617*x^5+375*x^4+133*x^3+98*x^2+45*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118093 7.21388 [-45+360*x+576*x^2+(3-60*x+384*x^3+240*x^2)*f(x)+(-15*x^2+x+48*x^3+64*x^4)*f(x)^2 lgdogf] A118101 5.52306 [(-7-54*x-119*x^2+512*x^8-224*x^5+496*x^4+128*x^3-1632*x^6)/(x-1)/(4*x-1)/(2*x+1)/(4*x+1)/(x+1)/(16*x^4-5*x-1) lgdogf] A118101 9.40904 [-(2*x+1)*(16*x^4-5*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A118108 14.2641 [(7*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A118108 6.73581 [-(-336*x^4-64*x^3+119*x^2+34*x+7)/(-112*x^5-16*x^4+119*x^3+17*x^2-7*x-1) lgdogf] A118108 7.49965 [-(1161*f(x)-3433)*(16*f(x)*x^4-17*f(x)*x^2+f(x)-7*x-1) ogf] A118108 8.63396 [-(-7-34*x-119*x^2+336*x^4+64*x^3)/(x-1)/(4*x+1)/(7*x+1)/(4*x-1)/(x+1) lgdogf] A118109 12.9231 [(111*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A118109 6.6301 [(21045233429*f(x)-25926674959)*(10000*f(x)*x^4-10001*f(x)*x^2+f(x)-111*x-1) ogf] A118120 7.12373 [x*(5*x^5+7*x^4+5*x^3-23*x^2-21*x-7)/(x-1)/(x^6-6*x^3+1) ogf] A118148 8.37175 [-(468*x^7+963*x^6+319*x^5+862*x^4+118*x^3+76*x^2+52*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118168 5.36743 [(x^30-x^29+x^25-x^24+x^20-x^19+x^15-x^14+x^11-x^9+x^8+x^7+x^4+x^3+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A118171 10.7927 [-(4*x^3-12*x^2-7*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A118171 6.27098 [-(7+58*x+64*x^6-384*x^5+107*x^2-268*x^4-64*x^3)/(x-1)/(4*x+1)/(4*x-1)/(x+1)/(4*x^3-12*x^2-7*x-1) lgdogf] A118171 6.67185 [(6605*f(x)-1222)*(16*f(x)*x^4-17*f(x)*x^2+4*x^3-12*x^2+f(x)-7*x-1) ogf] A118173 8.28521 [-(8*x^5-8*x^4-12*x^3-4*x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A118216 12.1813 [-(630*x^4+135*x^3+76*x^2+70*x+1)/(x-1)/(x^2+x+1) ogf] A118216 7.45581 [(1690277541*f(x)+49951861885)*(f(x)*x^3+630*x^4+135*x^3+76*x^2-f(x)+70*x+1) ogf] A118216 7.58661 [{a(n+5)-a(n+2),a(0)=1,a(1)=70,a(2)=76,a(3)=136,a(4)=700} ogf] A118216 9.22426 [2*(-35-76*x+315*x^6-204*x^2-38*x^4-1330*x^3)/(x-1)/(x^2+x+1)/(630*x^4+135*x^3+76*x^2+70*x+1) lgdogf] A118239 10.9344 [-(6*x^2+16*x+2)/(-x^4+10*x^3-10*x^2+2*x-1) lgdogf] A118239 11.8852 [(x^3-9*x^2+x-1)/(x-1)^3 ogf] A118239 21.7481 [2*(1+8*x+3*x^2)/(x-1)/(x^3-9*x^2+x-1) lgdogf] A118239 6.12001 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=12,a(3)=30} ogf] A118239 6.40689 [-(536*f(x)-1901)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+9*x^2-f(x)-x+1) ogf] A118256 8.53135 [(x^8+x^7-x^6+x^5+x^3+1)/(x-1)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118263 6.75282 [-(6*x^8+8*x^7+12*x^6-5*x^5-6*x^4-7*x^3+x^2+x+1)/(3*x^3-1)/(2*x^3-1)/(4*x^3-1) ogf] A118264 12.2506 [(x-1)^3/(3*x-1) ogf] A118264 16.2320 [6*x/(3*x^2-4*x+1) lgdogf] A118264 37.6114 [6*x/(3*x-1)/(x-1) lgdogf] A118264 6.83453 [{-a(n+4)+3*a(n+3),a(0)=1,a(1)=0,a(2)=3,a(3)=8} ogf] A118264 7.46299 [-(f(x)-1)*(-x^3+3*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A118265 10.9759 [-(x-1)^4/(4*x-1) ogf] A118265 16.3299 [12*x/(4*x^2-5*x+1) lgdogf] A118265 36.6595 [12*x/(4*x-1)/(x-1) lgdogf] A118265 6.14245 [{a(n+5)-4*a(n+4),a(0)=1,a(1)=0,a(2)=6,a(3)=20,a(4)=81} ogf] A118265 6.97423 [(1951*f(x)-999)*(x^4-4*x^3+4*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A118266 14.2490 [20*x/(5*x^2-6*x+1) lgdogf] A118266 3.84347 [{(-n-3)*a(n+3)+(6*n+12)*a(n+2)+(15-5*n)*a(n+1),a(0)=1,a(1)=0,a(2)=10} ogf] A118266 31.9407 [20*x/(5*x-1)/(x-1) lgdogf] A118266 8.22827 [(x-1)^5/(5*x-1) ogf] A118271 12.3963 [-(-4*x^5+x^4-4*x^3-2*x^2-4*x+1)/(x^6-1) ogf_with_Euler_transform] A118272 14.6748 [-(-4*x^5-2*x^4-4*x^2-2)/(x^6-1) ogf_with_Euler_transform] A118277 10.1451 [-x*(x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A118277 11.1048 [-(-3*x^3-21*x^2-12*x-6)/(-x^4-5*x^3+5*x+1) lgdogf] A118277 18.4081 [-3*(2+4*x+7*x^2+x^3)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A118286 13.3445 [2*(2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A118286 19.3398 [-2*(1+x+2*x^2+2*x^4)/(x-1)/(2*x^2+1)/(1+x^2) lgdogf] A118286 4.35876 [{(3*n+11)*a(n+1)+(-3*n-8)*a(n+2)+(3*n+11)*a(n+3)+(-3*n-8)*a(n+4),a(0)=2,a(1)=4,a(2)=8,a(3)=12} ogf] A118286 6.67226 [-(3*f(x)-82)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*f(x)*x-4*x^2+f(x)-2) ogf] A118286 9.85675 [-(-4*x^4-4*x^2-2*x-2)/(-2*x^5+2*x^4-3*x^3+3*x^2-x+1) lgdogf] A118293 6.46559 [(36*x^13+90*x^12+27*x^11+72*x^10+9*x^9-8*x^8-7*x^7-6*x^6-5*x^5-40*x^4-93*x^3-29*x^2-82*x-18)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118294 7.68247 [(27*x^11+90*x^10+9*x^9-9*x^8-8*x^7-7*x^6-6*x^5-5*x^4-4*x^3-30*x^2-92*x-19)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118295 9.06260 [(18*x^9-10*x^8-9*x^7-8*x^6-7*x^5-6*x^4-5*x^3-4*x^2-3*x-20)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118312 11.6632 [-(4*x^5-8*x^4+12*x^2+5*x+1)/(x-1)^3 ogf] A118312 12.9601 [2*(2*x+1)*(2*x^4-8*x^3+12*x^2-9*x-4)/(x-1)/(4*x^5-8*x^4+12*x^2+5*x+1) lgdogf] A118321 13.1525 [-x*(4*x^5+9*x^3+x^2+6*x+7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118321 8.68462 [-(6+2*x+42*x^5+4*x^10+27*x^8+4*x^7+30*x^6+27*x^2+20*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(4*x^5+9*x^3+x^2+6*x+7) lgdogf] A118337 7.21965 [x*(8*x^5+7*x^4+8*x^3-36*x^2-21*x-12)/(x-1)/(x^6-6*x^3+1) ogf] A118341 10.0259 [-1/2*((5*x^2-2*x+1)^(1/2)*x+(5*x^2-2*x+1)^(1/2)-1-3*x^2)/x revogf] A118341 6.24928 [-f(x)^3*x^2+3*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2-f(x)+1 ogf] A118341 6.74638 [-1/2*(5*x^2-2*x+1)^(1/2)/x*(x+1)+1/2*(3*x^2+1)/x revogf] A118342 5.38854 [f(x)^3*x^3+4*f(x)^2*x^3+6*f(x)^2*x^2-f(x)*x^3+3*f(x)*x-f(x)+1 ogf] A118346 12.5586 [-1/2*(1-2*x+((6*x-1)*(-1+2*x))^(1/2))/(-1+2*x)*x revogf] A118346 7.98692 [-1/2*(-2*x+1+(12*x^2-8*x+1)^(1/2))/(2*x-1)*x revogf] A118346 7.98693 [-x*f(x)^3-2*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A118347 6.6659 [-f(x)^3*x^2+8*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x^2-f(x)+1 ogf] A118347 7.11528 [-1/8*(2*x+1)/x*(12*x^2-4*x+1)^(1/2)+1/8*(8*x^2+1)/x revogf] A118347 9.70441 [-1/8*(2*(-4*x+12*x^2+1)^(1/2)*x+(-4*x+12*x^2+1)^(1/2)-1-8*x^2)/x revogf] A118348 5.71516 [f(x)^3*x^3+20*f(x)^2*x^3+9*f(x)^2*x^2-8*f(x)*x^3+3*f(x)*x-f(x)+1 ogf] A118351 12.5039 [-1/2*(1-3*x+((7*x-1)*(3*x-1))^(1/2))/(3*x-1)*x revogf] A118351 7.52773 [-1/2*(-3*x+1+(21*x^2-10*x+1)^(1/2))/(3*x-1)*x revogf] A118351 7.6255 [-x*f(x)^3-3*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A118352 6.14749 [-f(x)^3*x^2+15*f(x)^2*x^2+2*f(x)^2*x-9*f(x)*x^2-f(x)+1 ogf] A118352 6.41477 [-1/18*(1+3*x)/x*(21*x^2-6*x+1)^(1/2)+1/18*(15*x^2+1)/x revogf] A118352 9.03400 [-1/18*(3*(21*x^2-6*x+1)^(1/2)*x+(21*x^2-6*x+1)^(1/2)-1-15*x^2)/x revogf] A118353 5.19088 [f(x)^3*x^3+54*f(x)^2*x^3+12*f(x)^2*x^2-27*f(x)*x^3+3*f(x)*x-f(x)+1 ogf] A118375 10.2680 [-(x+1)*(2*x^5-9*x^4+14*x^3-18*x^2+8*x-5)/(x-1)/(x^2+1)/(x^2-x+1)/(x^2-2*x-1) lgdogf] A118375 7.87715 [-(x^2-x+1)*(x^2-2*x-1)/(x^2+1)/(x-1)^4 ogf] A118376 12.3352 [2*f(x)^2*x^2-2*f(x)^2*x+f(x)-1 ogf] A118376 15.1619 [-(-2*x^2+x)/(2*x^2-1) revogf] A118376 19.7698 [x*(-1+2*x)/(-1+2*x^2) revogf] A118376 3.62076 [{(8*n+16)*a(n+1)+(-16*n-44)*a(n+2)+(9*n+33)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=24} ogf] A118376 6.29039 [-1/2*(-1+2*x)*(-1+(1-8*x+8*x^2)^(1/2))/(x-1)/(1-8*x+8*x^2)^(1/2)/x lgdogf] A118395 23.8002 [1+6*x+6*x^2+9*x^4+(-1-3*x^2)*f(x) lgdegf] A118395 5.70201 [{(3*n^2+15*n+18)*a(n+1)-a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=7} ogf] A118396 5.03730 [(63-72*n+9*n^2)*a(n+1)+(-8*n-60+4*n^2)*a(n+3),a(0)=1,a(1)=0,a(2)=3,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=9 lgdegf] A118402 11.2933 [-(x^2+1)*(2*x^2+2*x+1)/(x-1)/(x+1)^2 ogf] A118402 15.0486 [(-1-7*x+2*x^5-7*x^2+2*x^4-9*x^3)/(x-1)/(x+1)/(x^2+1)/(2*x^2+2*x+1) lgdogf] A118402 6.03880 [{-a(n+5)-a(n+4)+a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=1,a(4)=5} ogf] A118402 6.79365 [(38*f(x)-1)*(f(x)*x^3+2*x^4+f(x)*x^2+2*x^3-f(x)*x+3*x^2-f(x)+2*x+1) ogf] A118403 10.5700 [-(x^2+1)*(2*x^2-2*x+1)/(x-1)^3 ogf] A118403 14.7808 [(-1-2*x+3*x^2+2*x^4-8*x^3)/(x-1)/(x^2+1)/(2*x^2-2*x+1) lgdogf] A118403 5.65201 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=5,a(4)=9} ogf] A118403 6.83939 [f(x)*(f(x)*x^3+2*x^4-3*f(x)*x^2-2*x^3+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A118403 8.47801 [-(-2*x^4+8*x^3-3*x^2+2*x+1)/(2*x^5-4*x^4+5*x^3-5*x^2+3*x-1) lgdogf] A118405 11.0990 [-(-2*x^3-6*x^2)/(-2*x^4-3*x^3-3*x^2-3*x-1) lgdogf] A118405 13.1004 [(x+1)^2/(2*x+1)/(x^2+1) ogf] A118405 25.0846 [-2*x^2*(3+x)/(2*x+1)/(x+1)/(x^2+1) lgdogf] A118405 7.26477 [{-a(n+3)-2*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A118405 8.97893 [2*f(x)*x^3+f(x)*x^2+2*f(x)*x-x^2+f(x)-2*x-1 ogf] A118406 11.7053 [-(5*x^4+2*x^2-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A118406 8.11547 [-2*(1-2*x-2*x^5+5*x^8+2*x^2+10*x^4-8*x^3+6*x^6)/(x-1)/(-1+2*x)/(x+1)/(x^2+1)/(5*x^4+2*x^2-1) lgdogf] A118408 13.0041 [-(x+1)^2/(x-1)/(x^2+1)/(2*x^2+2*x+1) ogf] A118408 15.1879 [-(1-x+6*x^5+3*x^2+10*x^4+x^3)/(x-1)/(x+1)/(x^2+1)/(2*x^2+2*x+1) lgdogf] A118408 8.54558 [-(-6*x^5-10*x^4-x^3-3*x^2+x-1)/(-2*x^6-2*x^5-x^4+2*x^2+2*x+1) lgdogf] A118409 7.22616 [-(2*x^6-2*x^5+3*x^4-2*x^3-2*x^2-1)/(x-1)/(2*x^2-1)/(2*x^2+1)/(x^4+1) ogf] A118414 10.6508 [-(-24*x^3+18*x^2+11*x-9)/(-12*x^4+24*x^3-13*x^2+1) lgdogf] A118414 12.3009 [-(6*x^2-3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A118414 16.5289 [-(9-11*x-18*x^2+24*x^3)/(x-1)/(-1+2*x)/(6*x^2-3*x-1) lgdogf] A118414 3.83055 [{(96*n^2+192*n)*a(n)+(52*n^2+1166*n+2310)*a(n+1)+(-246*n^2-1671*n-2079)*a(n+2)+(98*n^2+459*n+495)*a(n+3),a(0)=1,a(1)=9,a(2)=35} ogf] A118414 6.2832 [-(82*f(x)-3519)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+6*x^2+f(x)-3*x-1) ogf] A118415 13.2635 [-(-12*x-10)/(-12*x^2+4*x+1) lgdogf] A118415 15.0319 [(6*x+1)/(2*x-1)^2 ogf] A118415 17.9218 [-1/4*(-1-4*x+(1+32*x)^(1/2))/(-3+2*x) revogf] A118415 24.5595 [-2*(5+6*x)/(6*x+1)/(-1+2*x) lgdogf] A118415 8.14984 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=10} ogf] A118415 8.97758 [(8*f(x)+17)*(4*f(x)*x^2-4*f(x)*x+f(x)-6*x-1) ogf] A118417 16.0944 [-1/4*(-1-2*x+(1+8*x)^(1/2))/(x-1) revogf] A118417 17.1572 [2*(2*x+1)/(2*x-1)^2 ogf] A118417 17.5471 [-(4*x+6)/(4*x^2-1) lgdogf] A118417 19.6709 [-2*(3+2*x)/(-1+2*x)/(2*x+1) lgdogf] A118417 8.97758 [(8*f(x)+65)*(4*f(x)*x^2-4*f(x)*x+f(x)-4*x-2) ogf] A118417 9.30207 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=2,a(1)=12} ogf] A118418 2.55476 [-(2*f(x)*x-f(x)-x+1)^3 ogf] A118425 11.4462 [x^3/(x-1)^2/(x^2+x-1)^2 ogf] A118425 13.4273 [-(6*x^2-4)/(x^3-2*x+1) lgdogf] A118425 23.9549 [-2*(-2+3*x^2)/(x-1)/(x^2+x-1) lgdogf] A118425 4.39131 [{(n+4)*a(n+1)+(-2*n-4)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A118430 10.2213 [x^3/(x^3-x^2+2*x-1)^2 ogf] A118430 11.0199 [-(-6*x^2+4*x-4)/(-x^3+x^2-2*x+1) lgdogf] A118430 21.2650 [-2*(2-2*x+3*x^2)/(-x^2-1+2*x+x^3) lgdogf] A118430 3.65426 [{(-n-4)*a(n+1)+(n+3)*a(n+2)+(-2*n-4)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A118434 10.4556 [-4*x*(-1+4*x^4-3*x+4*x^2+4*x^5)/(2*x^2+2*x+1)/(2*x^2-2*x+1)/(4*x^3+2*x^2+1) lgdogf] A118434 13.1438 [(4*x^3+2*x^2+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A118434 8.81797 [(f(x)-3)*(4*f(x)*x^4-4*x^3-2*x^2+f(x)-1) ogf] A118436 8.24997 [-(5*x^5+29*x^4-6*x^3+2*x^2+x+1)/(x-1)/(x+1)/(5*x^2-2*x+1)/(5*x^2+2*x+1) ogf] A118437 5.19823 [(256*x^7-384*x^6+32*x^5-8*x^3-1)/(2*x-1)/(4*x^2+1)/(8*x^2-4*x+1)/(8*x^2+4*x+1) ogf] A118439 8.72247 [(5*x^5-21*x^4-6*x^3-10*x^2+x-1)/(x-1)/(x+1)/(5*x^2-2*x+1)/(5*x^2+2*x+1) ogf] A118440 5.62311 [(256*x^7-128*x^6+96*x^5-128*x^4+16*x^3-8*x^2+2*x-1)/(2*x-1)/(4*x^2+1)/(8*x^2-4*x+1)/(8*x^2+4*x+1) ogf] A118442 10.1722 [-(-32*x^3-48*x^2+24*x+4)/(-16*x^4-16*x^3-4*x+1) lgdogf] A118442 12.6332 [-x*(4*x^2+4*x-1)/(4*x^2+1)^2 ogf] A118442 16.5662 [-4*(-1+2*x)*(4*x^2+8*x+1)/(4*x^2+1)/(-1+4*x+4*x^2) lgdogf] A118442 6.75222 [{(4*n+12)*a(n+1)+(n+1)*a(n+3),a(0)=0,a(1)=1,a(2)=-4} ogf] A118442 7.99241 [(8*f(x)+7)*(16*f(x)*x^4+8*f(x)*x^2+4*x^3+4*x^2+f(x)-x) ogf] A118443 6.16387 [-(x+1)*(175*x^5-45*x^4+78*x^3-18*x^2+3*x-1)/(5*x^2-2*x+1)^2/(5*x^2+2*x+1)^2 ogf] A118444 12.1073 [-(15*x^3-7*x^2+x-1)/(5*x^2-2*x+1)/(5*x^2+2*x+1) ogf] A118444 7.58121 [(152*f(x)-241)*(25*f(x)*x^4+6*f(x)*x^2+15*x^3-7*x^2+f(x)+x-1) ogf] A118444 7.58121 [{-a(n+4)-6*a(n+2)-25*a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-9} ogf] A118444 9.07605 [-(-1+2*x-350*x^5-39*x^2-15*x^4-100*x^3+375*x^6)/(5*x^2-2*x+1)/(5*x^2+2*x+1)/(15*x^3-7*x^2+x-1) lgdogf] A118445 12.7754 [hypergeom([5/2,5/2],[4],16*x) ogf] A118445 5.02970 [{(-16*n^2-112*n-196)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=1,a(1)=25} ogf] A118465 10.1210 [3*x*(x+3)*(3*x+1)/(x-1)^4 ogf] A118465 11.3478 [-(6*x^2+36*x+22)/(3*x^3+7*x^2-7*x-3) lgdogf] A118465 19.4265 [-2*(11+18*x+3*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A118465 3.76360 [{(9+3*n)*a(n+4)+(-8+7*n)*a(n+3)+(-43-7*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=9,a(2)=66,a(3)=219} ogf] A118465 5.34968 [(928*f(x)+11631)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-30*x^2+f(x)-9*x) ogf] A118471 6.52818 [-(40823*x^10-36792*x^9-3591*x^8-387*x^7-53*x^6+3*x^3-3*x^2-1)/(x-1)^2 ogf] A118485 6.56058 [-(11321*x^4-218*x^3+326*x^2-168*x+43)/(x-1)^5 ogf] A118485 8.42270 [-(47-20*x+324*x^2+11321*x^4+44848*x^3)/(x-1)/(11321*x^4-218*x^3+326*x^2-168*x+43) lgdogf] A118517 10.4639 [-(52*f(x)-11)*(f(x)*x^3+9*x^3+7*x^2-f(x)+4*x+1) ogf] A118517 13.6750 [-(4+14*x+30*x^2+7*x^4+8*x^3)/(x-1)/(x^2+x+1)/(9*x^3+7*x^2+4*x+1) lgdogf] A118517 16.3384 [-(9*x^3+7*x^2+4*x+1)/(x-1)/(x^2+x+1) ogf] A118517 9.60090 [{a(n+4)-a(n+1),a(0)=1,a(1)=4,a(2)=7,a(3)=10} ogf] A118518 8.50933 [-(72*x^8+72*x^7+45*x^6+44*x^5+14*x^4+11*x^3+8*x^2+5*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118519 8.50933 [-3*(27*x^8+24*x^7+18*x^6+15*x^5+8*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118520 9.10526 [-(72*x^7+72*x^6+47*x^5+44*x^4+14*x^3+11*x^2+8*x+5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118521 9.10526 [-3*(27*x^7+24*x^6+19*x^5+15*x^4+8*x^3+4*x^2+3*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118528 7.33276 [-(99*x^9+98*x^8+78*x^7+76*x^6+56*x^5+54*x^4+34*x^3+32*x^2+12*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118554 5.18302 [x*(9*x^9+12*x^8+7*x^7+12*x^6+9*x^5-43*x^4-48*x^3-21*x^2-24*x-11)/(x-1)/(x^10-6*x^5+1) ogf] A118557 10.0657 [(11+21967*x-32964*x^2+10988*x^3)/(x-1)/(10988*x^3-10979*x^2-9*x-1) lgdogf] A118557 4.88002 [(241483264013*f(x)+14611727083500436745)*(f(x)*x^2+10988*x^3-2*f(x)*x-10979*x^2+f(x)-9*x-1) ogf] A118557 5.51482 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=11,a(2)=11000,a(3)=11001} ogf] A118557 9.83077 [-(10988*x^3-10979*x^2-9*x-1)/(x-1)^2 ogf] A118558 6.09551 [(1984*x^4-2120*x^3+510*x^2-61*x+2)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A118587 12.5663 [-(43-121*x+353*x^2+133*x^3)/(x-1)/(133*x^3-23*x^2-25*x+17) lgdogf] A118587 4.64417 [(425677059*f(x)+13155071725)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-133*x^3-4*f(x)*x+23*x^2+f(x)+25*x-17) ogf] A118587 7.98998 [-(-133*x^3-353*x^2+121*x-43)/(-133*x^4+156*x^3+2*x^2-42*x+17) lgdogf] A118587 9.06180 [(133*x^3-23*x^2-25*x+17)/(x-1)^4 ogf] A118589 19.7054 [3*x^2+2*x+1 lgdegf] A118589 3.60327 [{(-3*n^2-15*n-18)*a(n+1)+(-2*n-6)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=13} ogf] A118589 38.6380 [1+2*x+3*x^2-f(x) lgdegf] A118611 4.12260 [x*(63*x^13+33*x^12+51*x^11+49*x^10+51*x^9+33*x^8+63*x^7-301*x^6-143*x^5-193*x^4-147*x^3-113*x^2-55*x-77)/(x-1)/(x^14-6*x^7+1) ogf] A118613 6.95599 [-(99*x^9+370*x^8+343*x^7+613*x^6+685*x^5+856*x^4+928*x^3+109*x^2+28*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118617 7.79639 [-(99*x^9+96*x^8+56*x^7+52*x^6+120*x^5+98*x^4+76*x^3+54*x^2+32*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118619 11.9115 [-(34+158*x+300*x^2+79*x^4+68*x^3)/(x-1)/(x^2+x+1)/(99*x^3+79*x^2+34*x+1) lgdogf] A118619 14.5700 [-(99*x^3+79*x^2+34*x+1)/(x-1)/(x^2+x+1) ogf] A118619 8.74200 [{a(n+4)-a(n+1),a(0)=1,a(1)=34,a(2)=79,a(3)=100} ogf] A118619 9.20212 [(59233*f(x)+413063)*(f(x)*x^3+99*x^3+76*x^2-f(x)+34*x+1) ogf] A118627 5.73912 [-(2*x^13+4*x^12-3*x^11-17*x^10+9*x^9+18*x^8-6*x^7-4*x^6-2*x^5-x^4-x^3-x-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A118628 3.46786 [(9899010*x^12+9900990*x^11-10001000*x^10-31007101*x^9+98010*x^8+99990*x^7-200000*x^6-110090*x^5+990*x^4-2000*x^3-1100*x^2-10*x-3)/(x-1) ogf] A118635 6.85402 [-(765*x^10-522*x^9-9*x^8+9*x^7+567*x^6+63*x^5+36*x^4+72*x^3+43*x^2+40*x+1)/(x-1)/(x^2+x+1) ogf] A118639 3.02664 [(x^2-4*x-1)/(10*x^2-1) ogf] A118640 2.57527 [(5*x+1)/(x-1)/(10*x^2-1) ogf] A118645 5.34637 [(9*f(x)-7)*(2*f(x)*x^4-f(x)*x^3+2*f(x)*x^2-x^3-3*f(x)*x-x^2+f(x)) ogf] A118645 7.18419 [-(6*x^4+6*x^3-x^2+4*x-4)/(2*x^5+x^4+x^3-x^2-2*x+1) lgdogf] A118645 8.75322 [-(10-14*x-4*x^5+7*x^2+9*x^4-24*x^3+4*x^6)/(-1+2*x)/(2*x^3-x^2+2*x-4)/(x^3+x-1) lgdogf] A118645 9.99539 [x^2*(x+1)/(2*x-1)/(x^3+x-1) ogf] A118646 6.11187 [x^2*(x^3+x^2-2*x-1)/(2*x-1)/(x^6-x^4-x^2-x+1) ogf] A118646 6.46398 [-(-5+4*x+24*x^5-32*x^7+8*x^9+7*x^8+8*x^2+3*x^4-2*x^3-9*x^6)/(-1+2*x)/(x^3+x^2-2*x-1)/(x^6-x^4-x^2-x+1) lgdogf] A118647 8.39228 [-(x+1)*(x^9+x^8-4*x^6-3*x^5-x^4+5*x^3-x^2+2*x+4)/(x^6-x^4-x^2-x+1)/(x^5+x^4-x^2-2*x-2) lgdogf] A118647 8.65832 [-(x^5+x^4-x^2-2*x-2)/(x^6-x^4-x^2-x+1) ogf] A118648 6.69985 [-(25-42*x+34*x^5-8*x^7+16*x^8+19*x^2-58*x^4-4*x^6)/(-1+2*x)/(x^4+x-1)/(8*x^4-2*x^3-x^2+8*x-11) lgdogf] A118648 7.47808 [-(8*x^4-2*x^3-x^2+8*x-11)/(2*x-1)/(x^4+x-1) ogf] A118649 12.1105 [-(x-1)*(x+1)/(2*x^3-2*x^2-2*x+1) ogf] A118649 13.5365 [-2*(1+x-2*x^2+x^4)/(x-1)/(x+1)/(2*x^3-2*x^2-2*x+1) lgdogf] A118649 6.16336 [{a(n+3)-2*a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A118649 6.21888 [-(2*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A118649 7.84427 [-(-2*x^4+4*x^2-2*x-2)/(-2*x^5+2*x^4+4*x^3-3*x^2-2*x+1) lgdogf] A118650 11.5438 [-(-3+8*x-6*x^2+2*x^3)/(x-1)/(4*x^3-12*x^2+8*x-1) lgdogf] A118650 6.02427 [4*f(x)^2*x^3-12*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+x^2-2*x+1 ogf] A118650 6.90587 [-(2*x^3-6*x^2+8*x-3)/(4*x^4-16*x^3+20*x^2-9*x+1) lgdogf] A118658 12.7061 [f(x)*x^2+f(x)*x-f(x)-2*x+2 ogf] A118658 15.3940 [-(-x^2+2*x)/(-x^3+2*x-1) lgdogf] A118658 17.7886 [2*(x-1)/(x^2+x-1) ogf] A118658 21.3357 [1/2/(-2+x)*(-2-x+(4-4*x+5*x^2)^(1/2)) revogf] A118658 31.5768 [-x*(-2+x)/(x-1)/(x^2+x-1) lgdogf] A118658 9.88256 [{-a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=0} ogf] A118667 7.37687 [-(3+11*x+27*x^5+25*x^7+x^9+13*x^8+25*x^2+29*x^4+37*x^3+29*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+6*x^4+6*x^3+4*x^2+2*x+1) lgdogf] A118667 9.75281 [x*(x^5+6*x^4+6*x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A118672 6.42891 [(2*x^8+2*x^6+x^4+2*x^2+2)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A118673 7.05526 [x*(11*x^5+49*x^4+11*x^3-53*x^2-147*x-13)/(x-1)/(x^6-6*x^3+1) ogf] A118674 6.48643 [x*(7*x^5+17*x^4+7*x^3-33*x^2-51*x-9)/(x-1)/(x^6-6*x^3+1) ogf] A118675 6.90026 [x*(12*x^5+23*x^4+12*x^3-56*x^2-69*x-16)/(x-1)/(x^6-6*x^3+1) ogf] A118676 7.08620 [x*(16*x^5+47*x^4+16*x^3-76*x^2-141*x-20)/(x-1)/(x^6-6*x^3+1) ogf] A118714 5.88204 [{(-n^3-12*n^2-47*n-54)*a(n+1)+6*a(n+2),a(0)=1,a(1)=3} ogf] A118719 5.47109 [x*(x^6+7*x^5+53*x^4+40*x^3+53*x^2+7*x+1)/(x+1)^3/(x-1)^4 ogf] A118719 6.83992 [-(8+120*x+172*x^5+x^7+215*x^2+248*x^4+517*x^3+15*x^6)/(x-1)/(x+1)/(x^6+7*x^5+53*x^4+40*x^3+53*x^2+7*x+1) lgdogf] A118729 10.6477 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+5*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A118729 11.1044 [-x^8/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A118759 111.552 [-2/(x-1) lgdogf] A118759 16.2629 [-x*(89*x^97+178*x^96+1)/(267*x^97-178*x^96-x^2+2*x-1) ogf] A118759 38.8007 [4*x/(1+(1+4*x)^(1/2))^2 revogf] A118759 48.7886 [2/(-x+1) lgdogf] A118760 11.1764 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A118760 111.552 [-2/(x-1) lgdogf] A118760 15.3438 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A118760 27.4329 [x/(x-1)^2 ogf] A118760 32.3317 [2/(-x+1) lgdogf] A118760 38.8007 [4*x/(1+(1+4*x)^(1/2))^2 revogf] A118819 11.5044 [-(90*x^5+72*x^4+36*x^3+13*x^2+7*x+1)/(x-1)/(x^2+x+1) ogf] A118819 8.69206 [(-7-26*x+180*x^7-111*x^2-463*x^4-302*x^3+72*x^6)/(x-1)/(x^2+x+1)/(90*x^5+72*x^4+36*x^3+13*x^2+7*x+1) lgdogf] A118820 5.61019 [-(90*x^14+90*x^13+72*x^12+72*x^11+54*x^10+54*x^9+35*x^8+33*x^7+13*x^6+11*x^5+9*x^4+7*x^3+5*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118822 10.3330 [{a(n+4)+a(n),a(0)=2,a(1)=-1,a(2)=0,a(3)=-1} ogf] A118822 16.9617 [-f(x)*x^4-x^3-f(x)-x+2 ogf] A118822 18.3463 [-(x-1)*(x^2+x+2)/(x^4+1) ogf] A118822 23.5025 [-(-1-3*x^2+3*x^4-8*x^3+x^6)/(x-1)/(x^2+x+2)/(x^4+1) lgdogf] A118825 11.5083 [-f(x)*x^4-x^3-f(x)-x-2 ogf] A118825 12.4477 [-(x+1)*(x^2-x+2)/(x^4+1) ogf] A118825 15.8038 [-(-1-3*x^2+3*x^4+8*x^3+x^6)/(x+1)/(x^2-x+2)/(x^4+1) lgdogf] A118825 7.01079 [{-a(n+4)-a(n),a(0)=-2,a(1)=-1,a(2)=0,a(3)=-1} ogf] A118828 10.3330 [{a(n+4)+a(n),a(0)=1,a(1)=-1,a(2)=0,a(3)=-1} ogf] A118828 11.9863 [(2*f(x)-5)*(f(x)*x^4+x^3+f(x)+x-1) ogf] A118828 18.3463 [-(x^3+x-1)/(x^4+1) ogf] A118828 26.6361 [-(-1-3*x^2+3*x^4-4*x^3+x^6)/(x^3+x-1)/(x^4+1) lgdogf] A118831 10.2050 [{-a(n+4)-a(n),a(0)=-1,a(1)=-1,a(2)=0,a(3)=-1} ogf] A118831 11.8378 [(2*f(x)+5)*(f(x)*x^4+x^3+f(x)+x+1) ogf] A118831 18.1191 [-(x^3+x+1)/(x^4+1) ogf] A118831 26.3755 [-(-1-3*x^2+3*x^4+4*x^3+x^6)/(x^3+x+1)/(x^4+1) lgdogf] A118837 6.32173 [-(90*x^12+90*x^11+54*x^10+54*x^9+15*x^8+101*x^7+79*x^6+57*x^5+35*x^4+13*x^3+9*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118852 6.34767 [-(90*x^11+90*x^10+18*x^9+101*x^8+39*x^7+103*x^6+59*x^5+105*x^4+79*x^3+17*x^2+9*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118856 7.79639 [-(99*x^9+78*x^8+56*x^7+34*x^6+102*x^5+98*x^4+58*x^3+54*x^2+14*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118857 7.73913 [-(90*x^6+18*x^5+61*x^4+15*x^3+31*x^2+12*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A118862 9.17526 [-(90*x^7+108*x^6+49*x^5+43*x^4+82*x^3+76*x^2+16*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A118864 7.41362 [-(99*x^9+38*x^8+102*x^7+58*x^6+104*x^5+78*x^4+106*x^3+98*x^2+18*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A118870 11.5014 [(x^2+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A118870 12.8681 [-2*(-1+x^5-2*x^2-x^4+2*x^3)/(x^2+1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A118870 6.17842 [-f(x)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x-x^2+f(x)-1) ogf] A118871 16.7297 [-4*(-1+x-3*x^2+2*x^3)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A118871 8.77289 [x^4/(x^4-2*x^3+x^2-2*x+1)^2 ogf] A118871 8.88120 [-(8*x^3-12*x^2+4*x-4)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A118885 11.8509 [x^4/(x-1)^2/(x^3+x^2+x-1)^2 ogf] A118885 13.9020 [-(8*x^3-4)/(x^4-2*x+1) lgdogf] A118885 21.9062 [-4*(-1+2*x^3)/(x-1)/(x^3+x^2+x-1) lgdogf] A118891 6.12637 [-(x^8+x^7-x^5+2*x^4-x+1)/(x^9-x^7-x^6+4*x^5-2*x^4-2*x^2+3*x-1) ogf] A118892 10.6309 [-(-8*x^3+6*x^2-4)/(-x^4+x^3-2*x+1) lgdogf] A118892 20.6544 [-2*(2-3*x^2+4*x^3)/(-x^3-1+2*x+x^4) lgdogf] A118892 8.50475 [x^4/(x^4-x^3+2*x-1)^2 ogf] A118898 10.1303 [x^4/(x^4+x^3+x^2+x-1)^2 ogf] A118898 18.4878 [-2*(1+2*x+3*x^2+4*x^3)/(x^2-1+x+x^4+x^3) lgdogf] A118898 9.24391 [-(-8*x^3-6*x^2-4*x-2)/(-x^4-x^3-x^2-x+1) lgdogf] A118906 7.13366 [-(6*x^12-6*x^11-10*x^10+8*x^9+6*x^7+4*x^6-7*x^5+x^3-3*x^2-2*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A118932 10.3413 [1+3*x^2+3*x^4+x^6+(-6*x^2-3-3*x^4)*f(x)+(3*x^2+3)*f(x)^2-f(x)^3 lgdegf] A118934 38.9311 [(x+1)*(x^2-x+1) lgdegf] A118934 4.10071 [{(n+5)*a(n+5)-a(n+4)-a(n+1),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=7/24} egf] A118969 3.25482 [{(-3125*n^4-21875*n^3-56875*n^2-65125*n-27720)*a(n+1)+(256*n^4+2176*n^3+6896*n^2+9656*n+5040)*a(n+2),a(0)=1,a(1)=2} ogf] A118970 3.05525 [{(3125*n^4+25000*n^3+74375*n^2+97500*n+47520)*a(n+1)+(-256*n^4-2432*n^3-8624*n^2-13528*n-7920)*a(n+2),a(0)=1,a(1)=3} ogf] A118971 20.4008 [x*(x-1)^4 revogf] A118971 62.1604 [x*(x-1)^4 revogf] A118973 5.9681 [f(x)^2*x^3+2*f(x)^2*x^2-f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+1 ogf] A118974 3.9394 [f(x)^2*x^4+2*f(x)*x^4-3*f(x)^2*x^2-3*f(x)*x^3+x^4+2*f(x)^2*x-f(x)*x^2-2*x^3+3*f(x)*x+2*x^2-f(x) ogf] A118979 14.3649 [-12/(x-1)/(3*x-1)/(2*x-1) ogf] A118979 15.1287 [-2*(3-11*x+9*x^2)/(x-1)/(3*x-1)/(-1+2*x) lgdogf] A118979 5.27942 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=12,a(1)=72,a(2)=300} ogf] A118979 5.61539 [(22631*f(x)-125712)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-f(x)+12) ogf] A118979 9.21928 [-(18*x^2-22*x+6)/(6*x^3-11*x^2+6*x-1) lgdogf] A119016 10.8642 [f(x)*x^4+2*f(x)*x^2+2*x^3-x^2-f(x)+1 ogf] A119016 13.3576 [-(2*x^3-x^2+1)/(x^4+2*x^2-1) ogf] A119016 14.3500 [-2*x*(x+1)*(x^4-2*x^3+2*x+1)/(2*x^3-x^2+1)/(x^4+2*x^2-1) lgdogf] A119032 10.8229 [-2*(-85+171*x-23*x^2+x^3)/(x-1)/(x-9)/(x^2-18*x+1) lgdogf] A119032 4.77950 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=170} ogf] A119032 5.2347 [-f(x)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-x^2-f(x)+9*x) ogf] A119032 6.10714 [-(-2*x^3+46*x^2-342*x+170)/(-x^4+28*x^3-190*x^2+172*x-9) lgdogf] A119032 9.31598 [x*(x-9)/(x-1)/(x^2-18*x+1) ogf] A119255 11.3757 [-1+f(x)-f(x)^2*x-f(x)^3*x^3 ogf] A119255 13.9827 [-(-x^2+x)/(-x^3-1) revogf] A119255 27.4223 [-x*(x-1)/(x+1)/(x^2-x+1) revogf] A119259 3.24089 [{(16*n^2+56*n+48)*a(n+1)+(6*n^2-4*n-42)*a(n+2)+(-9*n^2-53*n-78)*a(n+3)+(n^2+7*n+12)*a(n+4),a(0)=1,a(1)=3,a(2)=17,a(3)=111} ogf] A119259 8.47617 [-8*f(x)^2*x^2-7*f(x)^2*x+f(x)^2+8*f(x)*x-f(x)-4*x ogf] A119282 13.5904 [{a(n+3)-2*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=0} ogf] A119282 15.2478 [(7*f(x)-22)*(f(x)*x^3-2*f(x)*x^2+f(x)+x) ogf] A119282 22.3271 [-(3*x^2-4*x)/(x^3-2*x^2+1) lgdogf] A119282 30.4956 [-x/(x-1)/(x^2-x-1) ogf] A119282 49.6576 [-x*(-4+3*x)/(x-1)/(x^2-x-1) lgdogf] A119283 15.3353 [-(-3*x^3-9*x^2-8*x)/(-x^4-3*x^3+3*x+1) lgdogf] A119283 16.0431 [-x*(x+1)/(x^2+3*x+1)/(x-1)^2 ogf] A119283 27.5035 [-x*(8+9*x+3*x^2)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A119283 7.44857 [{a(n+4)+a(n+3)-4*a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=0,a(3)=-4} ogf] A119283 8.14691 [(456*f(x)-47)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+f(x)*x+x^2+f(x)+x) ogf] A119284 13.0577 [-x*(x^2-2*x-1)/(x-1)/(x^2+x-1)/(x^2-4*x-1) ogf] A119284 13.9533 [-x*(-16-16*x^4-7*x+16*x^3+28*x^2+3*x^5)/(x-1)/(x^2+x-1)/(x^2-4*x-1)/(x^2-2*x-1) lgdogf] A119284 8.13592 [-(3*x^6-16*x^5+16*x^4+28*x^3-7*x^2-16*x)/(x^7-6*x^6+4*x^5+19*x^4-17*x^3-6*x^2+4*x+1) lgdogf] A119285 10.8734 [-x*(x^2+5*x+1)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1) ogf] A119285 11.1706 [-x*(-32+30*x^4-125*x+65*x^3-130*x^2+3*x^5)/(x+1)/(x^2+5*x+1)/(x^2+7*x+1)/(x^2-3*x+1) lgdogf] A119285 6.58755 [-(3*x^6+30*x^5+65*x^4-130*x^3-125*x^2-32*x)/(x^7+10*x^6+11*x^5-85*x^4-85*x^3+11*x^2+10*x+1) lgdogf] A119286 9.22672 [-x*(x^4-7*x^3-16*x^2+7*x+1)/(x-1)/(x^2+4*x-1)/(x^2-11*x-1)/(x^2-x-1) ogf] A119287 6.63859 [-x*(x+1)*(x^4+11*x^3-64*x^2+11*x+1)/(x^2+18*x+1)/(x^2+3*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A119303 14.0056 [(3*x-1)/(x^3-2*x^2+x-1) ogf] A119303 15.6139 [-(2+4*x-9*x^2+6*x^3)/(3*x-1)/(x^3-2*x^2+x-1) lgdogf] A119303 6.62767 [{a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=-4} ogf] A119303 6.93738 [(115*f(x)+191)*(f(x)*x^3-2*f(x)*x^2+f(x)*x-f(x)-3*x+1) ogf] A119303 9.27874 [-(-6*x^3+9*x^2-4*x-2)/(-3*x^4+7*x^3-5*x^2+4*x-1) lgdogf] A119306 12.2534 [-(4*x-1)/(x^4-3*x^3+3*x^2-x+1) ogf] A119306 13.0822 [-(-3-6*x+21*x^2+12*x^4-28*x^3)/(-1+4*x)/(x^4-3*x^3+3*x^2-x+1) lgdogf] A119306 5.79426 [-(229*f(x)-850)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-f(x)*x+f(x)+4*x-1) ogf] A119306 7.40059 [-(12*x^4-28*x^3+21*x^2-6*x-3)/(4*x^5-13*x^4+15*x^3-7*x^2+5*x-1) lgdogf] A119309 11.0301 [-24*f(x)^2*x+f(x)^2-1 ogf] A119309 16.9128 [12/(-24*x+1) lgdogf] A119309 18.3812 [(-12*x+(144*x^2+1)^(1/2))*x revogf] A119309 38.1764 [-12/(-1+24*x) lgdogf] A119309 4.74191 [{(-n-2)*a(n+2)+(36+24*n)*a(n+1),a(0)=1,a(1)=12} ogf] A119327 13.5039 [-(1+8*x-12*x^2+8*x^4)/(x-1)/(8*x^4-16*x^3+12*x^2-4*x+1) lgdogf] A119327 7.80998 [-(8*x^4-16*x^3+12*x^2-4*x+1)/(x-1)^5 ogf] A119327 8.23443 [-(-8*x^4+12*x^2-8*x-1)/(-8*x^5+24*x^4-28*x^3+16*x^2-5*x+1) lgdogf] A119330 13.1300 [-2*(-1+4*x-6*x^2+x^4)/(x-1)/(x^4+4*x^3-6*x^2+4*x-1) lgdogf] A119330 5.177 [(116*f(x)-13)*(f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A119330 7.50949 [-(-2*x^4+12*x^2-8*x+2)/(-x^5-3*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A119330 9.90383 [-(x-1)^2/(x^4+4*x^3-6*x^2+4*x-1) ogf] A119332 14.9395 [-(x+1)/(2*x^4-1) ogf] A119332 22.4813 [-(1+6*x^4+8*x^3)/(x+1)/(2*x^4-1) lgdogf] A119332 9.00765 [-(6*x^4+8*x^3+1)/(2*x^5+2*x^4-x-1) lgdogf] A119332 9.14209 [(2*f(x)-1)*(2*f(x)*x^4-f(x)+x+1) ogf] A119336 7.60372 [-(x-1)^4/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A119336 9.29677 [-2*(-1+6*x+3*x^5-15*x^2-15*x^4+20*x^3)/(x-1)/(-1+2*x)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A119349 3.59677 [(4227858432*x^8-33554432*x^7-1048576*x^6-524288*x^5-2048*x^4-1024*x^3-32*x^2-16*x-1)/(16*x-1)/(16*x+1)/(256*x^2+1)/(65536*x^4+1) ogf] A119370 16.1316 [-1/2*(-1-x^2+(1-2*x^2+x^4+4*x^3)^(1/2))/x revogf] A119370 8.43034 [1/2/x+1/2*x-1/2*(x^4+4*x^3-2*x^2+1)^(1/2)/x revogf] A119370 8.75878 [-f(x)^2*x^2-f(x)^2*x+f(x)*x^2+f(x)-1 ogf] A119371 11.0318 [-1/2*(-1+4*x-2*x^2+(1-4*x+4*x^2-4*x^3+4*x^4)^(1/2))/(x-1) revogf] A119371 6.45037 [-2*f(x)^2*x^2-3*f(x)^2*x+f(x)*x^2+4*f(x)*x+f(x)-x-1 ogf] A119371 6.65196 [-1/2*(-2*x^2+(4*x^4-4*x^3+4*x^2-4*x+1)^(1/2)+4*x-1)/(x-1) revogf] A119372 5.61167 [-2*f(x)^2*x^3-3*f(x)^2*x^2+f(x)*x^3+f(x)*x^2-f(x)*x+f(x)-1 ogf] A119407 8.17212 [-1/(x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A119407 8.61605 [-(-3+x+x^2+6*x^4+x^3)/(x-1)/(x^4+x^3+x^2+x-1) lgdogf] A119412 12.8487 [2*x*(5*x-6)/(x-1)^3 ogf] A119412 14.8641 [-(-10*x+13)/(-5*x^2+11*x-6) lgdogf] A119412 29.8634 [-(-13+10*x)/(x-1)/(5*x-6) lgdogf] A119412 6.37034 [-(135*f(x)-18662)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-10*x^2-f(x)+12*x) ogf] A119412 6.70859 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=26} ogf] A119413 17.2046 [-(-3*x-5)/(-3*x^2+2*x+1) lgdogf] A119413 17.9526 [4*(3*x+1)/(x-1)^2 ogf] A119413 26.1271 [-(-2-x+2*(1+4*x)^(1/2))/(-12+x) revogf] A119413 36.8154 [-(5+3*x)/(3*x+1)/(x-1) lgdogf] A119413 9.49219 [(2*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-12*x-4) ogf] A119413 9.94964 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=20} ogf] A119428 9.50133 [-(2*x^7-x^6+x^5-x^4+x^3+x^2+x+1)/(-x^8-x^6-x^4-x^2-1) ogf_with_Euler_transform] A119490 6.75896 [8-12*f(x)+6*f(x)^2-f(x)^3 lgdegf] A119515 12.1687 [-(-8+8*x+3*x^2+2*x^3)/(x+1)/(x^3+2*x^2+3*x-1) lgdogf] A119515 5.56900 [x*(x^3+2*x^2+3*x-1)/(x+1)^5 ogf] A119516 11.0159 [x*(7*x^3+7*x^2+9*x+1)/(5*x^4+10*x^2+1) ogf] A119516 6.94694 [(1084*f(x)-197)*(5*f(x)*x^4-7*x^4+10*f(x)*x^2-7*x^3-9*x^2+f(x)-x) ogf] A119516 9.97719 [-(-9+6*x+70*x^5+69*x^2+65*x^4+20*x^3+35*x^6)/(5*x^4+10*x^2+1)/(7*x^3+7*x^2+9*x+1) lgdogf] A119518 4.19380 [(2*x^13+8*x^12-6*x^11-6*x^10-24*x^9+18*x^8+10*x^7+22*x^6-15*x^5+11*x^4-7*x^3+3*x^2+x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A119522 7.69927 [-(27*f(x)-59)*(27*x^2+f(x)+8*x-1) ogf] A119536 10.3148 [6*x*(x^2+x+1)/(x-1)^4 ogf] A119536 24.7356 [-(5+5*x+2*x^2)/(x-1)/(x^2+x+1) lgdogf] A119536 29.8984 [[-x^2+5] ogf_with_Euler_transform] A119536 4.56352 [{(-3-n)*a(n+4)+5*a(n+3)+5*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=6,a(2)=30,a(3)=90} ogf] A119536 5.41712 [-(25*f(x)+82)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-6*x^2+f(x)-6*x) ogf] A119537 17.0561 [3*x*(-2+686*x^4-3*x-90*x^3)/(1-3*x^2-3*x^3-54*x^5+343*x^6) lgdogf] A119574 3.44904 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2+64*f(x)*x^3+f(x)^2*x-48*f(x)*x^2-324*x^3+12*f(x)*x+236*x^2-f(x)-55*x+4 ogf] A119575 3.38836 [64*f(x)^2*x^4-48*f(x)^2*x^3+12*f(x)^2*x^2-256*f(x)*x^3-f(x)^2*x+192*f(x)*x^2+2500*x^3-48*f(x)*x-1844*x^2+4*f(x)+449*x-36 ogf] A119576 15.2283 [-2*(7+4*x+12*x^2)/(-1+4*x)/(4*x^2+1) lgdogf] A119577 14.8954 [-2*(7+4*x+12*x^2)/(-1+4*x)/(4*x^2+1) lgdogf] A119578 22.7073 [-3*(-3+2*x)/(-1+4*x)/(x-1) lgdogf] A119578 3.97127 [{(-2-n)*a(n+3)+(14+5*n)*a(n+2)+(-6-4*n)*a(n+1),a(0)=0,a(1)=2,a(2)=18} ogf] A119579 23.3017 [-3*(-3+2*x)/(-1+4*x)/(x-1) lgdogf] A119579 4.07362 [{(-2-n)*a(n+3)+(14+5*n)*a(n+2)+(-6-4*n)*a(n+1),a(0)=0,a(1)=4,a(2)=36} ogf] A119580 13.7055 [-6*(-3-6*x+2*x^2)/(-1+4*x)/(2*x^2-4*x-1) lgdogf] A119581 20.5714 [-4*(-2+3*x)/(-1+4*x)/(-1+2*x) lgdogf] A119581 3.98582 [{(-2-n)*a(n+3)+(14+6*n)*a(n+2)+(-12-8*n)*a(n+1),a(0)=0,a(1)=3,a(2)=24} ogf] A119582 13.4059 [-6*(-3-6*x+2*x^2)/(-1+4*x)/(2*x^2-4*x-1) lgdogf] A119583 7.52816 [x^3*(2*x^10+5*x^8+3*x^7+x^6-2*x^5-2*x^4-2*x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A119587 5.78519 [2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+3*x^3+4*f(x)*x-3*x^2-f(x)+x ogf] A119587 8.53857 [-(1-2*x+12*x^5-3*x^2-21*x^4+14*x^3)/(x-1)/(-1+2*x)/(3*x^2-3*x+1)/(x^2+x-1) lgdogf] A119587 8.79666 [-x*(3*x^2-3*x+1)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A119610 13.4552 [-(-2+12*x^5-5*x^4)/(x-1)/(-1+2*x)/(x^4+x^3+x^2+x+1) lgdogf] A119610 17.0751 [1/(2*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A119617 11.1084 [-(7+43*x+x^5+58*x^2+13*x^4+58*x^3)/(x-1)/(x+1)/(x^4+6*x^3+16*x^2+6*x+1) lgdogf] A119617 8.55334 [-(x^4+6*x^3+16*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A119620 16.0959 [-(x^3-x^2+1)/(x^2-1) ogf_with_Euler_transform] A119633 3.77762 [-(36587595968*f(x)-23308361469)*(729*f(x)*x^4+540*f(x)*x^3-210*f(x)*x^2+729*x^3-20*f(x)*x+513*x^2+f(x)-105*x-1) ogf] A119633 7.30339 [-(729*x^3+513*x^2-105*x-1)/(9*x+1)/(3*x-1)/(27*x-1)/(x+1) ogf] A119635 15.8108 [-2*(5+10*x+8*x^2)/(-1+2*x)/(4*x^2+2*x+1) lgdogf] A119635 3.72916 [{(-n-4)*a(n+4)+10*a(n+3)+20*a(n+2)+(24+8*n)*a(n+1),a(0)=4,a(1)=40,a(2)=240,a(3)=1088} ogf] A119635 4.77885 [(11*f(x)+54)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x-16*x^2+f(x)-8*x-4) ogf] A119635 8.83759 [4*(4*x^2+2*x+1)/(2*x-1)^4 ogf] A119651 8.44925 [(-10-10*x-3*x^5+5*x^7-12*x^2-7*x^4-12*x^3+x^6)/(x-1)/(x^7+2*x^6+3*x^5+4*x^4+4*x^3+4*x^2+2*x+4) lgdogf] A119651 8.70922 [(x^7+2*x^6+3*x^5+4*x^4+4*x^3+4*x^2+2*x+4)/(x-1)^2 ogf] A119652 10.6721 [(2*x^5+4*x^4+5*x^3+5*x^2+5*x+4)/(x-1)^2 ogf] A119652 10.8922 [(-13-15*x+6*x^5-15*x^2-2*x^4-11*x^3)/(x-1)/(2*x^5+4*x^4+5*x^3+5*x^2+5*x+4) lgdogf] A119692 3.13004 [{(16*n^2+64*n+60)*a(n+1)+(4*n^2+18*n+20)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=2,a(2)=6} ogf] A119693 3.38625 [{(16*n^2+64*n+60)*a(n+1)+(4*n^2+18*n+20)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A119694 4.18994 [{(16*n^2+64*n+60)*a(n+1)+(4*n^2+22*n+30)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A119701 3.43572 [{(16*n^2+64*n+60)*a(n+1)+(4*n^2+14*n+10)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=2,a(2)=12} ogf] A119749 10.3020 [(x^2+1)/(x^4-x^3-2*x^2-x+1) ogf] A119749 11.1168 [-(-1-6*x+2*x^5-2*x^2-x^4+4*x^3)/(x^2+1)/(x^4-x^3-2*x^2-x+1) lgdogf] A119749 5.11166 [-(65*f(x)+32)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-f(x)*x-x^2+f(x)-1) ogf] A119771 18.4527 [-4*(4+17*x+9*x^2)/(x-1)/(9*x+1)/(x+1) lgdogf] A119771 3.48316 [{(n+3)*a(n+4)+(2+9*n)*a(n+3)+(-69-n)*a(n+2)+(-36-9*n)*a(n+1),a(0)=0,a(1)=1,a(2)=16,a(3)=90} ogf] A119771 7.45320 [x*(x+1)*(9*x+1)/(x-1)^6 ogf] A119797 7.26686 [-x*(x^17-4*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A119826 13.9951 [-(x^2+x+1)/(2*x^3+2*x^2+2*x-1) ogf] A119826 15.0017 [-(3+6*x+6*x^2+2*x^4+4*x^3)/(x^2+x+1)/(2*x^3+2*x^2+2*x-1) lgdogf] A119826 7.62233 [(10*f(x)-1)*(2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+x^2-f(x)+x+1) ogf] A119826 7.62233 [{-a(n+3)+2*a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A119827 10.7490 [x^3/(2*x^3+2*x^2+2*x-1)^2 ogf] A119827 18.4197 [-4*(1+2*x+3*x^2)/(2*x^3+2*x^2+2*x-1) lgdogf] A119827 3.45306 [{(2*n+8)*a(n+1)+(2*n+6)*a(n+2)+(2*n+4)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A119837 11.9439 [1/9+4/9*x-2/9*x^2-1/9*((4*x^2-8*x+1)*(x-1)^2)^(1/2) revegf] A119837 27.6882 [-12*x/(6*x-1)/(-1+4*x) lgdegf] A119837 3.32452 [{(48*n^2+168*n+144)*a(n+1)+(-4*n^2-38*n-60)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=0,a(2)=-12} ogf] A119837 5.8688 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-36*x^2+12*x-1 egf] A119852 10.6439 [x^3/(x^3-3*x+1)^2 ogf] A119852 24.8456 [-6*(x-1)*(x+1)/(1-3*x+x^3) lgdogf] A119852 4.08352 [{(n+4)*a(n+1)+(-3*n-6)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A119886 4.64445 [-(792192233355432192*f(x)+68881669389222008531)*(64*f(x)*x^4+576*x^4-20*f(x)*x^2-5050*x^3-2396*x^2+f(x)-59*x-1) ogf] A119886 8.84656 [-(576*x^4-5050*x^3-2396*x^2-59*x-1)/(4*x+1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A119902 7.24456 [-(110001*x^4+480010*x^3+9985*x^2-509990*x-100016)/(x+1)/(x^2+1)/(x-1)^2 ogf] A119910 16.8371 [(2*x+1)/(x^2-x+1) ogf] A119910 23.7447 [-1/2*(-1-x+(1+10*x-3*x^2)^(1/2))/(-2+x) revogf] A119910 28.0619 [-(-3+2*x+2*x^2)/(2*x+1)/(x^2-x+1) lgdogf] A119910 8.81011 [(5*f(x)-86)*(f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A119910 9.23988 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A119915 10.3554 [-x*(x-1)*(x+1)/(x^2+2*x-1)^2 ogf] A119915 17.9218 [-2*(-2-x+x^3)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A119915 6.535 [f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x+f(x)-x ogf] A119916 10.8425 [-x*(x-1)/(x+1)/(3*x-1)^2 ogf] A119916 16.4424 [-2*(-2-3*x+3*x^2)/(x-1)/(3*x-1)/(x+1) lgdogf] A119916 5.56779 [{-a(n+3)+5*a(n+2)-3*a(n+1)-9*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A119916 7.27087 [-9*f(x)*x^3-3*f(x)*x^2+5*f(x)*x-x^2-f(x)+x ogf] A119967 4.94686 [f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3-f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 ogf] A119975 5.483 [-14*f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x-7*f(x)*x^2-2*f(x)*x+f(x)-2*x-1 ogf] A119975 9.75568 [1/2/(2+7*x+14*x^2)*(-1-2*x-4*x^2+((8*x^2+4*x+1)*(1+4*x)^2)^(1/2)) revogf] A119976 3.43162 [{(-4*n^2-24*n-32)*a(n+1)+(-4*n^2-26*n-42)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A119976 5.27942 [-8*f(x)^2*x^3-8*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x^2-4*f(x)*x+f(x)-x-1 ogf] A119976 9.45546 [1/2/(8*x^2+4*x+1)*(-8*x^2-4*x-1+((8*x^2+4*x+1)*(1+4*x)^2)^(1/2)) revogf] A119996 10.8060 [(x^2-2*x-1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A119996 5.58616 [(12101*f(x)-2346)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-x^2-f(x)+2*x+1) ogf] A119996 9.36210 [-(-5+2*x+2*x^5+6*x^2-9*x^4+8*x^3)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2-2*x-1) lgdogf] A119997 10.1682 [-(x^3+2*x-1)/(x-1)/(x^2-3*x+1)/(x^2-x-1) ogf] A119997 7.66351 [-(1+2*x+8*x^5+2*x^7-26*x^2-34*x^4+54*x^3-5*x^6)/(x-1)/(x^2-3*x+1)/(x^2-x-1)/(x^3+2*x-1) lgdogf] A120009 16.6941 [-1/2*(-1-5*x+(-(4*x-1)*(x-1)^2)^(1/2))/(2+x)^2 revogf] A120009 3.90008 [{(16*n^2+72*n+80)*a(n+1)+(-8*n^2-54*n-80)*a(n+2)+(n^2+9*n+18)*a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A120009 8.66683 [f(x)^2*x^3+4*f(x)*x^2-5*f(x)*x+f(x)+4*x-1 ogf] A120010 11.9007 [1/2/(x^2-x-1)*(x^2-x-1+(-(3*x^2-3*x+1)*(x^2-x-1))^(1/2)) revogf] A120010 5.81 [-f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x+f(x)*x^2-f(x)*x+f(x)+x-1 ogf] A120012 12.6574 [-1/2*(-3-29*x-36*x^2+3*(-(4*x-1)*(x+1)^2)^(1/2))/(9*x+4)^2 revogf] A120012 5.62672 [81*f(x)^2*x^3-36*f(x)^2*x^2+4*f(x)^2*x+72*f(x)*x^2-29*f(x)*x+3*f(x)+16*x-3 ogf] A120017 5.6124 [-2*f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A120017 9.06727 [1/2/(-1-2*x+2*x^2)*(-1-2*x+2*x^2+(-(-1-2*x+2*x^2)*(2*x^2-2*x+1))^(1/2)) revogf] A120018 5.33302 [3*f(x)^2*x^3-3*f(x)^2*x^2+f(x)^2*x-3*f(x)*x^2+3*f(x)*x-f(x)-x+1 ogf] A120018 9.12568 [1/2/(-1-3*x+3*x^2)*(-1-3*x+3*x^2+(-(x^2-x+1)*(-1-3*x+3*x^2))^(1/2)) revogf] A120030 14.1642 [-(-6*x^3-4*x^2-10*x-4)/(x^4-1) ogf_with_Euler_transform] A120030 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(3/2)/GAMMA(3/4)^6 A120054 11.3715 [-256/(x-1)^5 ogf] A120054 6.36389 [{(-n-2)*a(n+2)+(6+n)*a(n+1),a(0)=256,a(1)=1280} ogf] A120054 85.0243 [-5/(x-1) lgdogf] A120071 10.7540 [x*(19*x-21)/(x-1)^3 ogf] A120071 21.4973 [-2*(-22+19*x)/(x-1)/(19*x-21) lgdogf] A120071 5.61493 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=44} ogf] A120071 6.92234 [-(6012*f(x)-4514003)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-19*x^2-f(x)+21*x) ogf] A120096 11.3350 [-(27*x^2-18*x-1)/(x-1)/(3*x+1)/(9*x-1) ogf] A120096 5.99004 [(88492*f(x)+27261)*(27*f(x)*x^3-21*f(x)*x^2-7*f(x)*x+27*x^2+f(x)-18*x-1) ogf] A120096 6.29721 [{-a(n+3)+7*a(n+2)+21*a(n+1)-27*a(n),a(0)=1,a(1)=25,a(2)=169} ogf] A120118 5.42877 [-(x^2+x+1)*(x^7+x^5+x^4-x^3-x^2-2)/(x^10+x^8-2*x^5-x^3-x+1) ogf] A120212 5.11156 [-(x+1)*(2*x^7-4*x^6+4*x^5-5*x^4+5*x^3-4*x^2+4*x-3)/(x-1)^2 ogf] A120215 7.35524 [-(5501*x^6+8955*x^5-2002*x^4-2002*x^3-2002*x^2-7503*x-1057)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A120217 5.48830 [-(550001*x^6+890055*x^5-200002*x^4-200002*x^3-200002*x^2-750003*x-100057)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A120262 3.78946 [-(6*x^5+x^4-4*x^3+3*x-1)/(x^3-3*x+1)/(4*x^3-2*x+1) ogf] A120275 11.1388 [(4*x^7-4*x^6+4*x^4-4*x^3+2*x-5)/(x-1) ogf] A120278 3.25633 [{(-4*n-18)*a(n+1)+(9*n+41)*a(n+2)+(-6*n-28)*a(n+3)+(n+5)*a(n+4),a(0)=2,a(1)=10,a(2)=38,a(3)=136} ogf] A120297 6.83843 [-(5-10*x+12*x^5+2*x^7-10*x^2-10*x^4+22*x^3-9*x^6)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^3-2*x^2-1) lgdogf] A120297 7.84358 [-(x^3-2*x^2-1)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A120304 4.52778 [{(4*n^2+14*n+12)*a(n+1)+(-5*n^2-19*n-16)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=-1,a(1)=-1,a(2)=0} ogf] A120304 6.41133 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+5*f(x)*x^2-6*f(x)*x-x^2+f(x)-4*x+1 ogf] A120305 4.26284 [-4*f(x)^2*x^4+f(x)^2*x^3+12*f(x)^2*x^2-11*f(x)^2*x-8*f(x)*x^2+2*f(x)^2+10*f(x)*x-2*f(x)-x ogf] A120323 7.62226 [-(1+18*x^5+6*x^9+3*x^8+3*x^2+12*x^3+5*x^6)/(x-1)/(x+1)/(1+x+x^2)/(x^2-x+1)/(3*x^4+x^3+x+3) lgdogf] A120323 9.59846 [-x*(3*x^4+x^3+x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A120324 7.22163 [-2*x*(4+2*x^2+3*x^4+8*x^6+x^8)/(x-1)/(x+1)/(1+x+x^2)/(x^2-x+1)/(x^4+4*x^2+1) lgdogf] A120324 8.06309 [-x*(x^4+4*x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A120325 10.6359 [-x^2*(x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A120325 11.2548 [-2*x*(1+3*x^4+2*x^6)/(x-1)/(x+1)/(1+x^2)/(1+x+x^2)/(x^2-x+1) lgdogf] A120325 15.7512 [[x^5-x^3+x] ogf_with_Euler_transform] A120328 13.3177 [-(5*x^2-x+2)/(x-1)^3 ogf] A120328 24.9057 [-(5+8*x+5*x^2)/(x-1)/(5*x^2-x+2) lgdogf] A120328 7.06418 [(244*f(x)-335)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-x+2) ogf] A120328 7.18922 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=14} ogf] A120346 21.9939 [-x*(1+x^2)*(x^2+x-1)/(x+1) revogf] A120348 48.6760 [x*(x-1)^4 revegf] A120353 12.7047 [{a(n+1)-9*a(n),a(0)=121} ogf] A120353 15.9548 [-9*f(x)*x+f(x)-121 ogf] A120353 25.4094 [-121/(9*x-1) ogf] A120353 5.76305 [9*(4322241+3837708963*x^2-14819112*x+686*x^11+6174*x^12)/(3971080971*x^2+4322241-53719281*x+686*x^11-34539380667*x^3) lgdogf] A120354 13.7701 [{a(n+1)-3*a(n),a(0)=11} ogf] A120354 17.3765 [-3*f(x)*x+f(x)-11 ogf] A120354 27.5685 [-1/3*ln(11)+1/3*ln(11+3*x) revegf] A120354 28.0698 [-11/(3*x-1) ogf] A120354 65.1620 [-3/(-1+3*x) lgdogf] A120367 5.07602 [(x^29+2*x^27+2*x^24-8*x^21-6*x^13-4*x^11-4*x^8-x^5-x^3-1)/(2*x^24-4*x^8-1)/(x-1)^2 ogf] A120370 13.9664 [(x^17+x^5-x+2)/(x-1)^2 ogf] A120370 15.4426 [(-3+x+3*x^5-17*x^16-5*x^4+15*x^17)/(x-1)/(x^17+x^5-x+2) lgdogf] A120391 6.68274 [-(1+8*x-22*x^5-4*x^7+8*x^9+3*x^8+8*x^2-23*x^4-8*x^3-x^6)/(x^3-2*x^2-x+1)/(x^3+2*x^2-x-1)/(4*x^4+x^3-x^2+x+1) lgdogf] A120391 8.61649 [-x*(4*x^4+x^3-x^2+x+1)/(x^3-2*x^2-x+1)/(x^3+2*x^2-x-1) ogf] A120400 17.1132 [-(1+2*x+6*x^5)/(x+1)/(x^5-x^4+x^3-x^2+2*x-1) lgdogf] A120400 18.7203 [-1/(x+1)/(x^5-x^4+x^3-x^2+2*x-1) ogf] A120413 12.8843 [2*x*(x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A120413 18.3485 [-2*(-2-3*x-2*x^2+x^3)/(x-1)/(x+1)/(x^2-2*x-1) lgdogf] A120413 6.86458 [-(25*f(x)-153)*(f(x)*x^4-2*f(x)*x^3-2*x^3+2*f(x)*x+4*x^2-f(x)+2*x) ogf] A120415 19.9399 [-1/(x^6+x^3+x-1) ogf] A120415 23.3232 [-(1+3*x^2+6*x^5)/(-1+x+x^3+x^6) lgdogf] A120446 18.7408 [-(1+4*x^3+6*x^5)/(x+1)/(x^2-x+1)/(x^3+x-1) lgdogf] A120446 19.5670 [-1/(x+1)/(x^2-x+1)/(x^3+x-1) ogf] A120452 12.6836 [-(x^6-x^5-x^3+x+1)/(x-1) ogf_with_Euler_transform] A120461 12.4037 [-x*(x-4)/(2*x-1)/(x^2-x-1) ogf] A120461 14.8216 [-(3+24*x-27*x^2+4*x^3)/(x-4)/(-1+2*x)/(x^2-x-1) lgdogf] A120461 5.99161 [-(9227*f(x)+10455)*(2*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-4*x) ogf] A120461 6.36947 [{-a(n+3)+a(n+2)+3*a(n+1)-2*a(n),a(0)=0,a(1)=4,a(2)=3} ogf] A120462 11.7608 [-2*x*(4*x^2-2*x-3)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A120462 6.76799 [-(387*f(x)+1315)*(4*f(x)*x^4-5*f(x)*x^2+8*x^3-4*x^2+f(x)-6*x) ogf] A120462 8.72853 [-2*(1+11*x+16*x^5+5*x^2-12*x^4-24*x^3)/(x-1)/(2*x+1)/(-1+2*x)/(x+1)/(4*x^2-2*x-3) lgdogf] A120463 10.3410 [-(-1-8*x-10*x^2+17*x^4+12*x^3+6*x^6)/(x-1)/(x+1)/(3*x^2-1)/(2*x^3+x+1) lgdogf] A120463 12.0430 [x*(2*x^3+x+1)/(x-1)/(x+1)/(3*x^2-1) ogf] A120463 6.99639 [-(948*f(x)+893)*(3*f(x)*x^4-2*x^4-4*f(x)*x^2-x^2+f(x)-x) ogf] A120464 10.4119 [x*(x+2)/(2*x^3-x^2-5*x+1) ogf] A120464 12.9824 [-(4*x+11)*(x-1)*(x+1)/(x+2)/(2*x^3-x^2-5*x+1) lgdogf] A120464 5.29893 [-(11*f(x)+4)*(2*f(x)*x^3-f(x)*x^2-5*f(x)*x-x^2+f(x)-2*x) ogf] A120464 5.29893 [{a(n+3)-5*a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=11} ogf] A120465 12.1699 [-(36*x+1)/(204*x^2-1) ogf] A120465 12.4796 [1/24*(-1+(1+144*x+816*x^2)^(1/2))/(3+17*x) revogf] A120465 12.7840 [-12*(3+34*x+612*x^2)/(36*x+1)/(204*x^2-1) lgdogf] A120465 6.69347 [-(2125*f(x)+9539)*(204*f(x)*x^2-f(x)+36*x+1) ogf] A120465 7.99219 [{a(n+2)-204*a(n),a(0)=1,a(1)=36} ogf] A120468 5.61891 [-(30116*f(x)+443205)*(9*f(x)*x^4-10*f(x)*x^2+18*x^3-24*x^2+f(x)-16*x) ogf] A120468 7.51072 [-2*(6+71*x+81*x^5+60*x^2-162*x^4-144*x^3)/(x-1)/(3*x-1)/(3*x+1)/(x+1)/(9*x^2-12*x-8) lgdogf] A120468 9.85472 [-2*x*(9*x^2-12*x-8)/(x-1)/(3*x-1)/(3*x+1)/(x+1) ogf] A120470 13.0361 [-(20*x+7)/(2*x+1)/(4*x-1) ogf] A120470 13.0511 [-2*(17+56*x+80*x^2)/(-1+4*x)/(2*x+1)/(20*x+7) lgdogf] A120470 13.3477 [1/8*(-7-2*x+(49+108*x+36*x^2)^(1/2))/(5+2*x) revogf] A120470 6.81434 [(45*f(x)-26)*(8*f(x)*x^2+2*f(x)*x-f(x)+20*x+7) ogf] A120470 7.22484 [{a(n+2)-2*a(n+1)-8*a(n),a(0)=7,a(1)=34} ogf] A120471 11.0996 [-3*f(x)*x^2-2*f(x)*x+f(x)-6*x ogf] A120471 17.6994 [-6*x/(x+1)/(3*x-1) ogf] A120471 20.1595 [1/3*(-3-x+(9+6*x+4*x^2)^(1/2))/x revogf] A120471 26.8793 [-2*(3*x+1)/(x+1)/(3*x-1) lgdogf] A120471 8.08491 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=6} ogf] A120477 19.3894 [-(-6+5*x)/(-x+1) ogf_with_Euler_transform] A120478 12.9903 [-(21-14*x+21*x^2+2*x^4)/(x-1)/(2*x^4-4*x^3+11*x^2-9*x+6) lgdogf] A120478 7.72697 [-(2*x^4-4*x^3+11*x^2-9*x+6)/(x-1)^5 ogf] A120495 6.43273 [(f(x)*x^2+f(x)*x-f(x)+x)^2 ogf] A120507 12.9877 [2+x^3*(x-1)+x^19*(x-1) ogf_with_Euler_transform] A120529 10.8399 [1+x^3*(x-1)+x^19*(x-1) ogf_with_Euler_transform] A120537 6.14215 [-(-11+22*x+48*x^5+2*x^7+16*x^2-52*x^4-14*x^3-15*x^6)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^3-4*x^2+6*x+1) lgdogf] A120537 7.23301 [(x^3-4*x^2+6*x+1)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A120571 15.2244 [-(15+20*x+24*x^2+x^4)/(x-1)/(x^4-2*x^3+10*x^2+3) lgdogf] A120571 8.00814 [-4*(x^4-2*x^3+10*x^2+3)/(x-1)^5 ogf] A120573 11.9907 [-2*(5+20*x+26*x^2+x^4+8*x^3)/(x-1)/(x^4+4*x^3+10*x^2+4*x+1) lgdogf] A120573 6.73882 [6*(x^4+4*x^3+10*x^2+4*x+1)/(x-1)^6 ogf] A120580 12.8501 [4*f(x)*x^2-2*f(x)*x+f(x)+2*x-1 ogf] A120580 17.9902 [-(2*x-1)/(4*x^2-2*x+1) ogf] A120580 19.5366 [-1/4*(-1-2*x+(-(2*x+1)*(6*x-1))^(1/2))/(2*x+1) revogf] A120580 27.2328 [-8*x*(x-1)/(-1+2*x)/(4*x^2-2*x+1) lgdogf] A120580 9.99454 [{-a(n+2)+2*a(n+1)-4*a(n),a(0)=1,a(1)=0} ogf] A120582 10.2123 [16*f(x)*x^4-4*f(x)*x^2+8*x^3+4*x^2+f(x)-2*x-1 ogf] A120582 12.3786 [-(2*x-1)*(2*x+1)^2/(16*x^4-4*x^2+1) ogf] A120582 12.7098 [-2*(1-2*x+32*x^5-4*x^2+16*x^4-24*x^3)/(2*x+1)/(-1+2*x)/(16*x^4-4*x^2+1) lgdogf] A120588 15.9636 [-1/2*(1-4*x+3*(1-4*x)^(1/2))/(x+2)/(-1+4*x) lgdogf] A120588 17.0674 [x+2-3*f(x)+f(x)^2 ogf] A120588 7.28919 [{(-4*n+2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=1} ogf] A120589 10.2319 [-f(x)^2-2*f(x)*x-x^2+5*f(x)-4*x-4 ogf] A120589 17.2398 [-(1-4*x+3*(1-4*x)^(1/2))/(x+2)/(-1+4*x) lgdogf] A120589 3.93986 [{(-4*n^2-2*n)*a(n+1)+(-7*n^2-26*n-24)*a(n+2)+(2*n^2+10*n+12)*a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A120590 14.3211 [-x-3+4*f(x)-f(x)^3 ogf] A120590 3.15679 [{(27*n^2+54*n+24)*a(n+1)+(162*n^2+567*n+486)*a(n+2)+(-13*n^2-65*n-78)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A120591 4.66777 [f(x)^3+3*f(x)^2*x+3*f(x)*x^2+x^3+9*f(x)^2+18*f(x)*x+9*x^2-37*f(x)+27*x+27 ogf] A120592 14.6133 [-4*x-4+5*f(x)-f(x)^3 ogf] A120592 3.17008 [{(-108*n^2-216*n-96)*a(n+1)+(-216*n^2-756*n-648)*a(n+2)+(17*n^2+85*n+102)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A120612 15.5448 [(x-1)/(3*x+1)/(5*x-1) ogf] A120612 18.0089 [-(-1-30*x+15*x^2)/(x-1)/(3*x+1)/(5*x-1) lgdogf] A120612 7.94513 [(304*f(x)-303)*(15*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A120612 8.61519 [{-a(n+2)+2*a(n+1)+15*a(n),a(0)=1,a(1)=1} ogf] A120617 12.3423 [{-a(n+2)-4*a(n),a(0)=1,a(1)=-2} ogf] A120617 17.5534 [4*f(x)*x^2+f(x)+2*x-1 ogf] A120617 19.2660 [-(2*x-1)/(4*x^2+1) ogf] A120617 21.9934 [-1/4*(-1+(1-16*x^2-8*x)^(1/2))/(2*x+1) revogf] A120617 23.2152 [-2*(-1-4*x+4*x^2)/(-1+2*x)/(4*x^2+1) lgdogf] A120634 12.3548 [-2*(-3-2*x+2*x^5-x^2+3*x^4-16*x^3+x^6)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+x-7) lgdogf] A120634 12.3613 [-x*(x^3+x^2+x-7)/(x+1)/(x^2+1)/(x-1)^2 ogf] A120655 4.34538 [{a(n+4)-4*a(n+3)-4*a(n+2)+16*a(n+1),a(0)=1,a(1)=11,a(2)=100,a(3)=368} ogf] A120655 4.50874 [-(8429*f(x)+90151)*(16*f(x)*x^3-4*f(x)*x^2+60*x^3-4*f(x)*x-52*x^2+f(x)-7*x-1) ogf] A120655 7.16217 [(-11-112*x+408*x^2+592*x^4-256*x^3)/(x-1)/(2*x+1)/(-1+2*x)/(-1+4*x)/(60*x^2+8*x+1) lgdogf] A120655 8.32864 [-(x-1)*(60*x^2+8*x+1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A120656 10.0705 [-2*x*(3*x+1)*(x-2)/(x-1)/(3*x-1)/(2*x+1) ogf] A120656 10.0750 [-(9+14*x-5*x^2+18*x^4-60*x^3)/(x-1)/(x-2)/(3*x-1)/(2*x+1)/(3*x+1) lgdogf] A120656 4.99738 [{a(n+4)-2*a(n+3)-5*a(n+2)+6*a(n+1),a(0)=0,a(1)=4,a(2)=18,a(3)=50} ogf] A120656 5.44796 [(1375*f(x)+5177)*(6*f(x)*x^3-5*f(x)*x^2+6*x^3-2*f(x)*x-10*x^2+f(x)-4*x) ogf] A120657 5.64817 [2*x*(128*x^4+294*x^3-257*x^2-59*x-6)/(x-1)/(4*x-1)/(2*x-1)/(3*x+1)/(x+1) ogf] A120658 6.15022 [2*x*(70*x^3+13*x^2-30*x-6)/(2*x+1)/(x-1)/(10*x^3-3*x^2-4*x+1) ogf] A120659 2.82841 [-1/2*(4783*x^2+(-9568*x^5-3*x^4-6*x^3-x^2+2*x+1)^(1/2)-4785*x+1)/(2392*x^3-4783*x^2+2393*x-1) ogf_with_Euler_transform] A120662 3.80708 [-(3515786386*f(x)+52134780965)*(30*f(x)*x^3-f(x)*x^2+189*x^3-6*f(x)*x-101*x^2+f(x)-12*x) ogf] A120662 4.00160 [{a(n+4)-6*a(n+3)-a(n+2)+30*a(n+1),a(0)=0,a(1)=12,a(2)=173,a(3)=861} ogf] A120662 6.65718 [-(173-354*x+155*x^2+5670*x^4-6060*x^3)/(3*x-1)/(5*x-1)/(2*x+1)/(189*x^2-101*x-12) lgdogf] A120662 7.72139 [-x*(189*x^2-101*x-12)/(3*x-1)/(2*x+1)/(5*x-1) ogf] A120663 4.77045 [x*(129444*x^4-124633*x^3+38216*x^2+2476*x+67)/(x-1)/(6*x-1)/(4*x-1)/(2*x-1)/(3*x+1)/(x+1) ogf] A120664 4.71964 [{a(n+4)-8*a(n+3)+19*a(n+2)-12*a(n+1),a(0)=0,a(1)=2,a(2)=4,a(3)=18} ogf] A120664 5.01931 [-(937*f(x)-48)*(12*f(x)*x^3-19*f(x)*x^2+24*x^3+8*f(x)*x-12*x^2-f(x)+2*x) ogf] A120664 9.02750 [-2*(1-7*x+27*x^2+72*x^4-72*x^3)/(x-1)/(3*x-1)/(-1+4*x)/(12*x^2-6*x+1) lgdogf] A120664 9.16568 [-2*x*(12*x^2-6*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A120665 12.1825 [-6*x*(3-10*x+4*x^2)/(6*x-1)/(-1+2*x)/(x^2-4*x+1) lgdogf] A120665 13.3568 [-x*(6*x-1)/(2*x-1)/(x^2-4*x+1) ogf] A120665 6.62033 [-(733*f(x)-450)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-x) ogf] A120665 6.92126 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=0,a(1)=-1,a(2)=0} ogf] A120689 11.0785 [-1/32*(-3-10*x+(6*x+1)^(1/2)*(3+2*x)^(1/2)*3^(1/2))/x revogf] A120689 15.2859 [3*x/(8*x-1)/(2*x-1) ogf] A120689 19.5721 [-2*(-5+16*x)/(-1+8*x)/(-1+2*x) lgdogf] A120689 7.18253 [{a(n+2)-10*a(n+1)+16*a(n),a(0)=0,a(1)=3} ogf] A120689 9.77296 [-16*f(x)*x^2+10*f(x)*x-f(x)+3*x ogf] A120691 5.53543 [-(x^6-x^4-3*x^3+2*x^2+x+2)/(x-1)/(x^2+x+1)^2 ogf] A120691 8.62280 [(1-x-x^5+x^7+x^8+2*x^2-10*x^4-x^3+2*x^6)/(x-1)/(x^2+x+1)/(x^6-x^4-3*x^3+2*x^2+x+2) lgdogf] A120694 13.0543 [-(25*x-1)/(49*x-1)/(x-1) ogf] A120694 6.45985 [-(1152*f(x)-527)*(49*f(x)*x^2-50*f(x)*x+f(x)+25*x-1) ogf] A120694 7.37182 [{a(n+2)-50*a(n+1)+49*a(n),a(0)=1,a(1)=25} ogf] A120701 7.85061 [-(x^8-2*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-4*x-2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A120711 5.63128 [-2*(8+75*x-364*x^5+168*x^7+193*x^2-385*x^4+52*x^3+106*x^6)/(x-1)/(2*x+1)/(x+1)/(6*x^2+2*x-1)/(14*x^3+2*x^2-16*x-7) lgdogf] A120711 7.08152 [-2*x*(14*x^3+2*x^2-16*x-7)/(x-1)/(2*x+1)/(x+1)/(6*x^2+2*x-1) ogf] A120714 6.08648 [-(-21-190*x+368*x^5-472*x^2+322*x^4-280*x^3+72*x^6)/(4*x^2+14*x+7)/(6*x^3+10*x^2+2*x-1)/(x^2-x-1) lgdogf] A120714 7.05485 [2*x*(4*x^2+14*x+7)/(x^2-x-1)/(6*x^3+10*x^2+2*x-1) ogf] A120717 3.10802 [-(2068887034736*f(x)+17039280657349)*(60*f(x)*x^4+40*f(x)*x^3+378*x^4-11*f(x)*x^2+287*x^3-6*f(x)*x-134*x^2+f(x)-67*x) ogf] A120717 6.14774 [-x*(378*x^3+287*x^2-134*x-67)/(2*x+1)/(3*x-1)/(10*x^2+5*x-1) ogf] A120718 17.3839 [3*x/(x+1)/(x^2-3*x+1) ogf] A120718 23.3961 [-(-2-4*x+3*x^2)/(x+1)/(x^2-3*x+1) lgdogf] A120718 7.04753 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=6} ogf] A120718 7.59491 [-(5*f(x)+4)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-3*x) ogf] A120719 6.00666 [-2*x*(60*x^3-315*x^2-727*x+305)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A120723 4.00188 [-(30012*f(x)-226535)*(4*f(x)*x^4+4*f(x)*x^3-7*f(x)*x^2-48*x^3-2*f(x)*x-34*x^2+f(x)-9*x-1) ogf] A120723 5.84062 [-(-11-82*x+272*x^5-127*x^2+580*x^4+280*x^3+192*x^6)/(x-1)/(2*x+1)/(3*x+1)/(16*x^2+6*x+1)/(2*x^2+3*x-1) lgdogf] A120723 7.69981 [(3*x+1)*(16*x^2+6*x+1)/(2*x+1)/(x-1)/(2*x^2+3*x-1) ogf] A120727 14.0213 [-(101*x+110)/(x^2+x-1) ogf] A120727 14.6399 [1/2/(101+x)*(-110-x+(12100+624*x+5*x^2)^(1/2)) revogf] A120727 16.0342 [-(211+220*x+101*x^2)/(101*x+110)/(x^2+x-1) lgdogf] A120727 7.30896 [(431*f(x)-2889)*(f(x)*x^2+f(x)*x-f(x)+101*x+110) ogf] A120727 7.98886 [{a(n+2)-a(n+1)-a(n),a(0)=110,a(1)=211} ogf] A120740 12.8685 [x*(4*x^3+x+4)/(x+1)/(x-1)^2 ogf] A120740 17.9189 [-(5+13*x+14*x^2+4*x^3)/(x-1)/(x+1)/(4*x^3+x+4) lgdogf] A120740 6.91282 [(2061*f(x)+4264)*(f(x)*x^3-4*x^4-f(x)*x^2-f(x)*x-x^2+f(x)-4*x) ogf] A120741 10.5784 [-7*f(x)*x^2+8*f(x)*x-f(x)+3*x ogf] A120741 16.8683 [3*x/(7*x-1)/(x-1) ogf] A120741 24.5997 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A120741 7.70527 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=3} ogf] A120743 13.3549 [-(10*x-1)/(10*x^2-2*x+1) ogf] A120743 15.4046 [-1/20*(-1-2*x+(1-36*x-36*x^2)^(1/2))/(x+1) revogf] A120743 15.4046 [-4*(5*x+1)*(5*x-2)/(10*x-1)/(10*x^2-2*x+1) lgdogf] A120743 6.67746 [-(9*f(x)+1015)*(10*f(x)*x^2-2*f(x)*x+f(x)+10*x-1) ogf] A120743 7.56243 [{-a(n+2)+2*a(n+1)-10*a(n),a(0)=1,a(1)=-8} ogf] A120747 9.03304 [x*(x^2-x-1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A120748 4.02167 [-x*(x^2-2*x-1)/(x^4-x^3-3*x^2-x+1) ogf] A120748 5.7425 [(374*f(x)+123)*(f(x)*x^4-f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x-2*x^2+f(x)-x) ogf] A120756 4.03687 [-(-112702003129+50148346800*f(x))*(567*f(x)*x^3+225*f(x)*x^2-189*x^3+9*f(x)*x+366*x^2-f(x)+82*x+1) ogf] A120756 4.28917 [{-a(n+4)+9*a(n+3)+225*a(n+2)+567*a(n+1),a(0)=1,a(1)=91,a(2)=1410,a(3)=33543} ogf] A120756 7.91846 [(189*x^3-366*x^2-82*x-1)/(9*x+1)/(3*x+1)/(21*x-1) ogf] A120757 11.0395 [-x*(x+2)/(x^3+4*x^2+3*x-1) ogf] A120757 13.4722 [-(7+16*x+10*x^2+2*x^3)/(x+2)/(x^3+4*x^2+3*x-1) lgdogf] A120757 5.66895 [{a(n+3)-3*a(n+2)-4*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A120757 5.88088 [(8*f(x)-9)*(f(x)*x^3+4*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x) ogf] A120758 11.0228 [(3*x+1)/(x^3-7*x^2-3*x+1) ogf] A120758 11.6703 [-2*(-3-7*x-9*x^2+3*x^3)/(3*x+1)/(x^3-7*x^2-3*x+1) lgdogf] A120758 5.16997 [{-a(n+3)+3*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=25} ogf] A120758 5.31097 [(39994*f(x)+4665)*(f(x)*x^3-7*f(x)*x^2-3*f(x)*x+f(x)-3*x-1) ogf] A120763 3.70025 [(6399360*x^6-6120600*x^5-181640*x^4-60700*x^3-12138*x^2-24285*x+2)/(12143*x-1)/(x-1) ogf] A120765 3.83130 [{(-2*n-4)*a(n+1)+(-4*n-9)*a(n+2)+(-2*n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=0,a(3)=5} ogf] A120771 11.7962 [-(x^8-x^5-x^4+x^3-1)/(x^9-x^6-2*x^3+1) ogf] A120771 8.28825 [-x^2*(6*x^3-12*x^5+11*x^8+2*x^7-12*x^6-2*x^11+5*x^2+4*x+6*x^9-2*x^4-5*x^10+3+x^14)/(x^8-x^5-x^4+x^3-1)/(x^9-x^6-2*x^3+1) lgdogf] A120775 11.8320 [-(3*x+1)/(x+1)/(x^2+4*x-1) ogf] A120775 12.8033 [-2*(3+5*x+9*x^2+3*x^3)/(3*x+1)/(x+1)/(x^2+4*x-1) lgdogf] A120775 5.54954 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=23} ogf] A120775 5.7009 [(19640*f(x)-5511)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) ogf] A120844 14.5876 [-(-x+3)/(-x^2+2*x-1) ogf_with_Euler_transform] A120845 4.34413 [(13580*f(x)-238697)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-25*x^3-7*f(x)*x+13*x^2+f(x)+4*x-2) ogf] A120845 7.51280 [-2*(5-42*x+75*x^5+126*x^2-3*x^4-141*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(25*x^3-13*x^2-4*x+2) lgdogf] A120845 8.04469 [(25*x^3-13*x^2-4*x+2)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A120846 4.47146 [(148*f(x)+10493)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-x^3-7*f(x)*x-7*x^2+f(x)+8*x-2) ogf] A120846 8.04215 [-2*(3-24*x+3*x^5+72*x^2+45*x^4-95*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(x^3+7*x^2-8*x+2) lgdogf] A120846 8.20711 [(x^3+7*x^2-8*x+2)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A120848 4.38846 [(148*f(x)-1165)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2+11*x^3-7*f(x)*x-17*x^2+f(x)+10*x-2) ogf] A120848 7.34967 [-2*(-2+15*x+33*x^5-45*x^2-69*x^4+72*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(11*x^3-17*x^2+10*x-2) lgdogf] A120848 7.86712 [-(11*x^3-17*x^2+10*x-2)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A120849 4.52004 [(388*f(x)-1003)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-31*x^3-7*f(x)*x+27*x^2+f(x)-6*x) ogf] A120849 8.33566 [x*(31*x^2-27*x+6)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A120849 8.54151 [-(15-127*x+421*x^2+372*x^4-641*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(31*x^2-27*x+6) lgdogf] A120892 11.7216 [-(3*x-1)/(x+1)/(x^2-4*x+1) ogf] A120892 16.0944 [-6*x*(x-1)^2/(3*x-1)/(x+1)/(x^2-4*x+1) lgdogf] A120892 5.59679 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A120892 5.75225 [(1414*f(x)-685)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)+3*x-1) ogf] A120893 10.6065 [-(x^2+2*x-1)/(x+1)/(x^2-4*x+1) ogf] A120893 11.7430 [-(1+4*x-6*x^2+x^4+4*x^3)/(x+1)/(x^2-4*x+1)/(x^2+2*x-1) lgdogf] A120893 5.52986 [-(23*f(x)-11)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+x^2+f(x)+2*x-1) ogf] A120893 5.77674 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A120908 10.396 [-9*f(x)*x^2+6*f(x)*x-f(x)+4*x ogf] A120908 16.5774 [4*x/(3*x-1)^2 ogf] A120908 28.7538 [x/(1+(3*x+1)^(1/2))^2 revogf] A120908 54.8936 [-6/(-1+3*x) lgdogf] A120908 7.57240 [{a(n+2)-6*a(n+1)+9*a(n),a(0)=0,a(1)=4} ogf] A120925 11.4267 [-(x^2-x+1)/(2*x^3-2*x^2+3*x-1) ogf] A120925 13.1454 [-(x^2-2*x+2)*(2*x^2+1)/(x^2-x+1)/(2*x^3-2*x^2+3*x-1) lgdogf] A120925 6.06113 [-(6*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-x+1) ogf] A120925 6.22349 [{a(n+3)-3*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A120926 14.5515 [(x-1)^2/(3*x-1)^2 ogf] A120926 50.5362 [4/(3*x-1)/(x-1) lgdogf] A120926 7.48764 [{a(n+3)-6*a(n+2)+9*a(n+1),a(0)=1,a(1)=4,a(2)=16} ogf] A120926 8.20453 [(7*f(x)+11)*(9*f(x)*x^2-6*f(x)*x-x^2+f(x)+2*x-1) ogf] A120928 3.32362 [{(2*n^2+6*n)*a(n)+(-4*n^2-26*n-26)*a(n+1)+(3*n^2+31*n+62)*a(n+2)+(-3*n-9)*a(n+3),a(0)=2,a(1)=8,a(2)=44} ogf] A120928 4.25508 [(8527113*f(x)+15686768)*(3*f(x)*x^4-12*f(x)*x^3-x^4+18*f(x)*x^2+4*x^3-12*f(x)*x-6*x^2+3*f(x)-6) egf] A120928 7.95295 [1/3*(x^4-4*x^3+6*x^2+6)/(x-1)^4 egf] A120940 10.6524 [x*(2*x+1)/(x+1)/(x^2+x-1)^2 ogf] A120940 17.0416 [-(3+9*x+15*x^2+8*x^3)/(2*x+1)/(x+1)/(x^2+x-1) lgdogf] A120948 3.94856 [-(6139*f(x)-74044)*(15*f(x)*x^4-38*f(x)*x^3+32*f(x)*x^2-112*x^3-10*f(x)*x+46*x^2+f(x)+4*x-2) ogf] A120948 6.97281 [-2*(4-51*x+420*x^5+237*x^2+75*x^4-429*x^3)/(x-1)/(3*x-1)/(5*x-1)/(56*x^3-23*x^2-2*x+1) lgdogf] A120948 7.28602 [2*(56*x^3-23*x^2-2*x+1)/(5*x-1)/(3*x-1)/(x-1)^2 ogf] A120949 4.05316 [(5528*f(x)-182423)*(15*f(x)*x^4-38*f(x)*x^3+32*f(x)*x^2-22*x^3-10*f(x)*x-2*x^2+f(x)+10*x-2) ogf] A120949 7.31295 [-(5-57*x+165*x^5+240*x^2+195*x^4-420*x^3)/(x-1)/(3*x-1)/(5*x-1)/(11*x^3+x^2-5*x+1) lgdogf] A120949 7.37381 [2*(11*x^3+x^2-5*x+1)/(5*x-1)/(3*x-1)/(x-1)^2 ogf] A120950 3.92862 [-(5528*f(x)+10687)*(15*f(x)*x^4-38*f(x)*x^3+32*f(x)*x^2+38*x^3-10*f(x)*x-34*x^2+f(x)+14*x-2) ogf] A120950 7.01848 [-(-3+27*x+285*x^5-84*x^2-225*x^4+128*x^3)/(x-1)/(3*x-1)/(5*x-1)/(19*x^3-17*x^2+7*x-1) lgdogf] A120950 7.24923 [-2*(19*x^3-17*x^2+7*x-1)/(5*x-1)/(3*x-1)/(x-1)^2 ogf] A120969 4.03268 [-(6139*f(x)-2249)*(15*f(x)*x^4-38*f(x)*x^3+32*f(x)*x^2-122*x^3-10*f(x)*x+68*x^2+f(x)-10*x) ogf] A120969 7.51772 [2*x*(61*x^2-34*x+5)/(5*x-1)/(3*x-1)/(x-1)^2 ogf] A120969 8.10354 [-2*(8-91*x+433*x^2+915*x^4-1009*x^3)/(x-1)/(3*x-1)/(5*x-1)/(61*x^2-34*x+5) lgdogf] A120978 4.06607 [-(5528*f(x)+8417)*(15*f(x)*x^4-38*f(x)*x^3+32*f(x)*x^2-32*x^3-10*f(x)*x+20*x^2+f(x)-4*x) ogf] A120978 7.66891 [4*x*(8*x^2-5*x+1)/(5*x-1)/(3*x-1)/(x-1)^2 ogf] A120978 8.64595 [-(5-43*x+151*x^2+240*x^4-289*x^3)/(x-1)/(3*x-1)/(5*x-1)/(8*x^2-5*x+1) lgdogf] A120984 11.2282 [-1+f(x)-3*f(x)^2*x^2-f(x)^3*x^3 ogf] A120984 43.5051 [x/(1+3*x^2+x^3) revogf] A120985 10.7731 [-f(x)^3*x^3-3*f(x)*x+f(x)-1 ogf] A120985 47.9152 [x/(1+3*x+x^3) revogf] A120989 3.81046 [{(-4*n^2-26*n-42)*a(n+1)+(-19*n^2-182*n-423)*a(n+2)+(5*n^2+55*n+120)*a(n+3),a(0)=2,a(1)=9,a(2)=34} ogf] A120990 10.2324 [-(-23+169*x-397*x^2+315*x^3)/(x-1)/(7*x-3)/(3*x-1)/(5*x-1) lgdogf] A120990 4.19344 [(5528*f(x)+201527)*(15*f(x)*x^4-38*f(x)*x^3+32*f(x)*x^2+28*x^3-10*f(x)*x-12*x^2+f(x)) ogf] A120990 7.99549 [-4*x^2*(7*x-3)/(5*x-1)/(3*x-1)/(x-1)^2 ogf] A121005 5.07533 [-(244140625*x^4+390625*x^3+15625*x^2+125*x+1)/(125*x-1)/(244140625*x^4+1953125*x^3+15625*x^2+125*x+1) ogf] A121013 4.42149 [(2853116706110*x^6-214358881*x^4-1)/(121*x-1)/(214358881*x^4+1) ogf] A121013 6.72835 [-(f(x)-1)*(121*f(x)*x-f(x)+1)^2 ogf] A121023 4.92126 [-3*(8*x^20+x^19-8*x^18-x^17+5*x^15+4*x^14-5*x^12-4*x^11+2*x^9+7*x^8-2*x^6-7*x^5+8*x^2-8*x-1)/(x-1)^2 ogf] A121025 16.1147 [-x^11+x^10+x^5-x^4-x+3 ogf_with_Euler_transform] A121025 5.69461 [5*(x+1)*(x^2+1)*(x^4+x^3+x^2+x+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A121054 22.7198 [-(4+x)/(-x-1) ogf_with_Euler_transform] A121055 20.3006 [-(4+x)/(-x-1) ogf_with_Euler_transform] A121101 6.24988 [-(5*f(x)+4)*(25*f(x)*x^4-30*f(x)*x^3-10*x^4+21*x^3+6*f(x)*x-3*x^2-f(x)-5*x+1) ogf] A121102 10.0463 [25*f(x)*x^4-30*f(x)*x^3+4*x^3+6*f(x)*x-f(x) ogf] A121112 9.85981 [x*f(x)^3+30*f(x)^2*x+125*f(x)*x-25*f(x)+125*x ogf] A121113 6.29568 [-f(x)^3*x^2+156*f(x)^2*x^2+12*f(x)^2*x-468*f(x)*x^2+360*f(x)*x+216*x^2-36*f(x) ogf] A121114 5.63485 [-f(x)^3*x^3-129*f(x)^2*x^3-18*f(x)^2*x^2-38*f(x)*x^3+57*f(x)*x^2-x^3-15*f(x)*x+f(x) ogf] A121115 7.0008 [-x^4*f(x)^3+26*f(x)^2*x^3+2*f(x)^2*x^2-13*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A121123 6.32984 [(-1+2*f(x))*(36*f(x)*x^3-6*f(x)*x^2-9*x^3-6*f(x)*x+12*x^2+f(x)+3*x-1) ogf] A121133 6.86217 [(-1+2*x+20*x^5-8*x^7+16*x^8+7*x^2+20*x^4-26*x^3-28*x^6)/(-1+2*x)/(2*x^2-1)/(2*x^6+2*x^5-5*x^3+3*x-1) lgdogf] A121133 9.33448 [(2*x^6+2*x^5-5*x^3+3*x-1)/(2*x^2-1)/(2*x-1)^2 ogf] A121134 4.46272 [(8*x^9+4*x^8-18*x^7-10*x^6+20*x^5+8*x^4-13*x^3-x^2+4*x-1)/(2*x^2-1)^2/(2*x-1)^3 ogf] A121135 4.37081 [(16*x^10-40*x^8+8*x^7+30*x^6-18*x^4-2*x^3+12*x^2-6*x+1)/(2*x^2-1)^2/(2*x-1)^4 ogf] A121138 6.81788 [(16*x^6+24*x^5+30*x^4-30*x^3-7*x^2+7*x-1)/(2*x-1)/(2*x+1)/(4*x-1)^2 ogf] A121173 11.0420 [2*(2*x+1)/(2*x^2-1)/(x-1)/(x+1)^2 ogf] A121173 12.6540 [-(-1-5*x-10*x^2+16*x^4+6*x^3)/(x-1)/(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A121177 13.2028 [-5*f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A121199 3.67401 [-(541752*f(x)-210617)*(35*f(x)*x^4-82*f(x)*x^3+60*f(x)*x^2-408*x^3-14*f(x)*x+118*x^2+f(x)+4*x-2) ogf] A121199 6.15252 [-2*(6-113*x+3570*x^5+789*x^2+1505*x^4-2301*x^3)/(x-1)/(-1+4*x)/(7*x-1)/(5*x-1)/(51*x^2-2*x-1) lgdogf] A121199 6.87255 [2*(4*x-1)*(51*x^2-2*x-1)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A121200 3.65105 [-(31033512*f(x)+8975023)*(35*f(x)*x^4-82*f(x)*x^3+60*f(x)*x^2-58*x^3-14*f(x)*x-2*x^2+f(x)+14*x-2) ogf] A121200 6.65331 [-(7-111*x+1015*x^5+628*x^2+1085*x^4-1472*x^3)/(x-1)/(7*x-1)/(5*x-1)/(29*x^3+x^2-7*x+1) lgdogf] A121200 7.03816 [2*(29*x^3+x^2-7*x+1)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A121201 3.69726 [(31033512*f(x)-11008087)*(35*f(x)*x^4-82*f(x)*x^3+60*f(x)*x^2+82*x^3-14*f(x)*x-50*x^2+f(x)+18*x-2) ogf] A121201 6.57683 [-(-5+65*x+1435*x^5-248*x^2-315*x^4+220*x^3)/(x-1)/(7*x-1)/(5*x-1)/(41*x^3-25*x^2+9*x-1) lgdogf] A121201 6.95437 [-2*(41*x^3-25*x^2+9*x-1)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A121202 3.8235 [(541752*f(x)+556387)*(35*f(x)*x^4-82*f(x)*x^3+60*f(x)*x^2-422*x^3-14*f(x)*x+148*x^2+f(x)-14*x) ogf] A121202 7.08746 [2*x*(211*x^2-74*x+7)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A121202 7.24284 [-2*(12-197*x+1407*x^2+7385*x^4-5151*x^3)/(x-1)/(7*x-1)/(5*x-1)/(211*x^2-74*x+7) lgdogf] A121203 3.77893 [(31033512*f(x)+22838047)*(35*f(x)*x^4-82*f(x)*x^3+60*f(x)*x^2-72*x^3-14*f(x)*x+28*x^2+f(x)-4*x) ogf] A121203 7.31868 [4*x*(18*x^2-7*x+1)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A121203 8.01674 [-(7-77*x+337*x^2+1260*x^4-951*x^3)/(x-1)/(7*x-1)/(5*x-1)/(18*x^2-7*x+1) lgdogf] A121204 3.78408 [-(31033512*f(x)+2854937)*(35*f(x)*x^4-82*f(x)*x^3+60*f(x)*x^2+68*x^3-14*f(x)*x-20*x^2+f(x)) ogf] A121204 7.66907 [-4*x^2*(17*x-5)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A121204 9.33096 [-(-53+547*x-1703*x^2+1785*x^3)/(x-1)/(7*x-1)/(5*x-1)/(17*x-5) lgdogf] A121205 10.7720 [-6*(43*x^2-98*x+57)/(x-1)^3 ogf] A121205 17.2455 [-(73-110*x+43*x^2)/(x-1)/(43*x^2-98*x+57) lgdogf] A121205 5.86766 [(170*f(x)+78831)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+258*x^2-f(x)-588*x+342) ogf] A121205 6.11628 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=342,a(1)=438,a(2)=546} ogf] A121213 14.8250 [2*x/(7*x-1)/(5*x-1) ogf] A121213 16.2625 [-1/35*(-1-6*x+(1+12*x+x^2)^(1/2))/x revogf] A121213 20.3282 [-2*(-6+35*x)/(7*x-1)/(5*x-1) lgdogf] A121213 6.96598 [{a(n+2)-12*a(n+1)+35*a(n),a(0)=0,a(1)=2} ogf] A121213 9.4783 [-35*f(x)*x^2+12*f(x)*x-f(x)+2*x ogf] A121230 5.88729 [-(5+34*x-114*x^5-12*x^7+4*x^9-8*x^8+33*x^2+97*x^4-80*x^3+52*x^6)/(x^3-x-1)/(x^3-x^2+2*x-1)/(2*x^4-2*x^3-4*x^2+8*x-13) lgdogf] A121230 6.59719 [-x*(2*x^4-2*x^3-4*x^2+8*x-13)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A121257 10.5912 [-4*(x-1)/(x^2-3*x+1)^2 ogf] A121257 20.1180 [-(5-7*x+3*x^2)/(x-1)/(x^2-3*x+1) lgdogf] A121257 3.25075 [{(-n-4)*a(n+4)+(17+4*n)*a(n+3)+(-15-4*n)*a(n+2)+(n+4)*a(n+1),a(0)=4,a(1)=20,a(2)=76,a(3)=260} ogf] A121257 5.25321 [(244*f(x)-49)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+f(x)+4*x-4) ogf] A121260 5.62219 [-x^2*(x^30+x^26+x^24-x^22-x^16-x^14-2*x^12-x^10-2*x^8-2*x^6-x^4-x^2-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A121262 15.469 [-f(x)*x^4+f(x)-1 ogf] A121262 18.5779 [a(n+4)-a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=4 lgdogf] A121262 19.7773 [-1/(x^2+1)/(x-1)/(x+1) ogf] A121262 29.0079 [[x^3] ogf_with_Euler_transform] A121273 10.1954 [-2*x^4+2*x^3+f(x)*x-2*x^2-f(x)+2*x+1 ogf] A121273 11.5325 [(2*x^4-2*x^3+2*x^2-2*x-1)/(x-1) ogf] A121273 11.8276 [(3-4*x+8*x^2+6*x^4-12*x^3)/(x-1)/(2*x^4-2*x^3+2*x^2-2*x-1) lgdogf] A121302 7.77513 [-(-1+x-19*x^5+14*x^2+37*x^4-38*x^3+4*x^6)/(x-1)/(-1+2*x)/(x^2-3*x+1)/(x^3-x^2-2*x+1) lgdogf] A121302 7.84047 [-(2*x-1)*(x-1)^2/(x^2-3*x+1)/(x^3-x^2-2*x+1) ogf] A121311 14.4189 [-(5*x^2+x+1)/(x^3-2*x^2+x-1) ogf] A121311 17.6573 [-(2+6*x-4*x^2+5*x^4+2*x^3)/(5*x^2+x+1)/(x^3-2*x^2+x-1) lgdogf] A121311 7.32959 [-(547*f(x)-1786)*(f(x)*x^3-2*f(x)*x^2+f(x)*x+5*x^2-f(x)+x+1) ogf] A121311 7.85313 [{a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A121318 10.4285 [2*x*(x+1)*(x^2-2*x+2)/(x-1)^4 ogf] A121318 18.7535 [-(8-2*x+x^2+x^3)/(x-1)/(x+1)/(x^2-2*x+2) lgdogf] A121318 4.88001 [{(-19*n^2-58*n)*a(n)+(40*n^2+61*n-96)*a(n+1)+(-21*n^2+3*n+24)*a(n+2),a(0)=0,a(1)=4} ogf] A121318 5.47685 [-(16*f(x)-21)*(f(x)*x^4-4*f(x)*x^3-2*x^4+6*f(x)*x^2+2*x^3-4*f(x)*x+f(x)-4*x) ogf] A121320 3.59708 [{(-4*n-2)*a(n)+(-3*n-1)*a(n+1)+(5*n+3)*a(n+2)+(-n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A121323 5.81223 [{-a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A121324 3.22758 [(-1769473739927+911632264272*f(x))*(100*f(x)*x^4-220*f(x)*x^3-100*x^4+141*f(x)*x^2+320*x^3-22*f(x)*x-51*x^2+f(x)+3*x-1) ogf] A121324 5.98932 [(100*x^4-320*x^3+51*x^2-3*x+1)/(10*x-1)^2/(x-1)^2 ogf] A121324 7.02967 [(19+29*x-870*x^2+1000*x^4+2900*x^3)/(x-1)/(10*x-1)/(100*x^4-320*x^3+51*x^2-3*x+1) lgdogf] A121351 4.97242 [{-a(n+1)+(3*n+10)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A121353 6.19630 [{a(n+1)+(-3*n-7)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A121354 6.32432 [{-a(n+1)+(3*n+8)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A121361 99.9999 Evaluated at exp(-Pi) 1/12*exp(7/12*Pi)*Pi*2^(1/4)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^3*GAMMA(11/12)*(3^(1/2)-1) A121363 4.81747 [-(2*x^17+2*x^16+x^15+x^13+2*x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+x+2)/(-x^18+1) ogf_with_Euler_transform] A121364 10.9128 [-2*(1+x-5*x^5+2*x^7-2*x^4-x^3-x^6)/(x^2+x-1)/(x^2-x-1)/(x^4+x^2-1) lgdogf] A121364 9.50429 [-x^2*(x^2-x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A121365 4.02359 [(186*f(x)+415)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2+8*x^3-8*f(x)*x-15*x^2+f(x)+7*x-1) ogf] A121365 7.24248 [-(8*x^3-15*x^2+7*x-1)/(3*x-1)^2/(x-1)^2 ogf] A121365 8.58368 [-(-1+2*x)*(12*x^3-23*x^2+8*x-1)/(x-1)/(3*x-1)/(8*x^3-15*x^2+7*x-1) lgdogf] A121373 10.1851 [-(-x^3+x^2-2*x+1)/(x^4-1) ogf_with_Euler_transform] A121373 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*Pi^(1/4)*2^(3/4)/GAMMA(3/4) A121381 8.73740 [x*(3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+4)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A121401 10.5537 [-(3-14*x+26*x^2+3*x^4-14*x^3)/(x-1)/(x-2)/(3*x-1)/(x^2-4*x+1) lgdogf] A121401 10.7648 [-(3*x-1)*(x-2)/(x-1)/(x^2-4*x+1) ogf] A121401 5.51807 [-(474*f(x)+361)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+3*x^2-f(x)-7*x+2) ogf] A121401 5.86296 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=8} ogf] A121442 13.1834 [-(x-1)*(x+1)/(x^3-9*x^2-x+1) ogf] A121442 13.2864 [-(1+16*x-2*x^2+x^4)/(x-1)/(x+1)/(x^3-9*x^2-x+1) lgdogf] A121442 6.59167 [-(197*f(x)-21)*(f(x)*x^3-9*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A121442 6.70939 [{-a(n+3)+a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=9} ogf] A121443 14.2343 [-(-4*x^3+x^2-2*x-1)/(x^4+x^2+1) ogf_with_Euler_transform] A121444 7.56760 [-(2*x^4+x^3+x^2+x+1)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A121446 23.0639 [x-1-(x-1)^(2/3)*(-1)^(1/3) revogf] A121446 4.01528 [{(-27*n^3-27*n^2-6*n)*a(n)+(-23*n^3-125*n^2-218*n-120)*a(n+1)+(4*n^3+26*n^2+54*n+36)*a(n+2),a(0)=3,a(1)=3} ogf] A121446 5.97474 [-f(x)^3*x^2+3*f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x^2-6*f(x)*x+x^2-f(x)+3*x+3 ogf] A121449 10.2171 [-(-1+2*x+2*x^2+2*x^4-6*x^3)/(x-1)/(-1+2*x)/(x^3+3*x^2-4*x+1) lgdogf] A121449 12.8800 [(2*x-1)*(x-1)/(x^3+3*x^2-4*x+1) ogf] A121449 7.01497 [{-a(n+3)+4*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A121449 7.07817 [(2*f(x)-1)*(f(x)*x^3+3*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A121450 6.07343 [-(-2*x^9-x^8+x^7-x^6-x^5+x^3-x^2-x-1)/(x^10-x^8+x^6-x^4+x^2-1) ogf_with_Euler_transform] A121451 15.1654 [-x*(5*x^3+2)/(2*x^2-1) ogf] A121451 17.3094 [x*(-8-15*x+10*x^3)/(-1+2*x^2)/(5*x^3+2) lgdogf] A121451 6.43814 [{a(n+3)-2*a(n+1),a(0)=0,a(1)=2,a(2)=0,a(3)=4,a(4)=5} ogf] A121451 8.63852 [-(125*f(x)+328)*(5*x^4+2*f(x)*x^2-f(x)+2*x) ogf] A121452 8.61833 [(-n^2-7*n-12)*a(n+1)+(n^2+7*n+10)*a(n+3),a(0)=1,a(1)=0,a(2)=3/2 lgdegf] A121453 10.5365 [3*(4*x^3+x^2+2*x+3)/(x^2+1)/(x-1)^2 ogf] A121453 12.7932 [-2*(4-x+2*x^5+11*x^2+3*x^4+x^3)/(x-1)/(1+x^2)/(4*x^3+x^2+2*x+3) lgdogf] A121453 4.04852 [{(5*n+17)*a(n+1)+(-5*n-12)*a(n+2)+(5*n+17)*a(n+3)+(-5*n-12)*a(n+4),a(0)=9,a(1)=24,a(2)=33,a(3)=48} ogf] A121453 5.74721 [(290*f(x)+2283)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-12*x^3-2*f(x)*x-3*x^2+f(x)-6*x-9) ogf] A121455 10.2230 [-(-4*x^5-4*x^4+2*x^3-2*x-4)/(x^6-x^4+x^2-1) ogf_with_Euler_transform] A121455 99.9999 Evaluated at exp(-Pi) 1/128*exp(Pi)*2^(1/2)*GAMMA(5/8)^4*(2+2^(1/2))/Pi/GAMMA(7/8)^4 A121456 8.75952 [-(4*x^11+2*x^10+4*x^8+2*x^7+2*x^6+2*x^4+2*x^3+4*x^2+2)/(-x^12+1) ogf_with_Euler_transform] A121456 99.9999 Evaluated at exp(-Pi) -1/12*exp(Pi)*Pi^2*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^6 A121458 10.0133 [-(-1-38*x-42*x^2+14*x^4-14*x^3)/(x-1)/(2*x+1)/(7*x^3+21*x^2-1) lgdogf] A121458 10.9202 [(2*x+1)*(x-1)/(7*x^3+21*x^2-1) ogf] A121458 6.27099 [-(623*f(x)-68)*(7*f(x)*x^3+21*f(x)*x^2-2*x^2-f(x)+x+1) ogf] A121458 6.59759 [{a(n+3)-21*a(n+1)-7*a(n),a(0)=1,a(1)=1,a(2)=19} ogf] A121470 11.6620 [-(x^3+2*x^2+5*x+1)/(x+1)/(x-1)^3 ogf] A121470 14.0943 [-(7+18*x+22*x^2+x^4+6*x^3)/(x-1)/(x+1)/(x^3+2*x^2+5*x+1) lgdogf] A121470 6.28657 [-(228*f(x)-1567)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+2*x^2-f(x)+5*x+1) ogf] A121471 12.2959 [-(2*x^3+5*x^2+x+1)/(x+1)/(x-1)^3 ogf] A121471 14.1161 [-(3+16*x+19*x^2+2*x^4+14*x^3)/(x-1)/(x+1)/(2*x^3+5*x^2+x+1) lgdogf] A121471 6.73347 [(6804*f(x)-33611)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+5*x^2-f(x)+x+1) ogf] A121482 7.19665 [-x*(x-1)*(x+1)*(4*x^6+6*x^5-8*x^4-3*x^3+6*x^2+x-2)/(2*x^2-1)/(x^2+x-1)/(x^6-4*x^4-2*x^3+4*x^2+x-1) lgdogf] A121482 7.69732 [-(2*x^2-1)*(x^2+x-1)/(x^6-4*x^4-2*x^3+4*x^2+x-1) ogf] A121483 5.61410 [-(x-1)*(3*x^4-6*x^3+3*x-1)/(x+1)/(x^2+x-1)/(x^2-3*x+1)^2 ogf] A121483 5.90255 [-(2-6*x-54*x^5+27*x^7+6*x^9-21*x^8+x^2+33*x^4+x^3+9*x^6)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(3*x^4-6*x^3+3*x-1) lgdogf] A121485 7.35724 [-(1+2*x+14*x^5-12*x^7+4*x^9-3*x^2-8*x^3+4*x^6)/(x-1)/(x+1)/(2*x^2-1)/(x^6-4*x^4-2*x^3+4*x^2+x-1) lgdogf] A121485 8.89236 [-(x-1)*(x+1)*(2*x^2-1)/(x^6-4*x^4-2*x^3+4*x^2+x-1) ogf] A121486 5.37600 [-x*(x-1)*(x^4-3*x^3+3*x^2+x-1)/(x+1)/(x^2+x-1)/(x^2-3*x+1)^2 ogf] A121486 5.66653 [-(4-10*x-39*x^5+24*x^7+2*x^9-10*x^8-x^2+44*x^4-x^3-11*x^6)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-3*x^3+3*x^2+x-1) lgdogf] A121496 13.1402 [(x^4-x^3+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A121496 13.4758 [-(2+2*x+x^7-x^2+4*x^4+9*x^3-x^6)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x+1) lgdogf] A121498 2.56918 [{(3364*n+8410)*a(n+1)+(837*n+3354)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=840,a(2)=706442} ogf] A121498 4.11068 [707281*f(x)^2*x^3-1682*f(x)^2*x^2+f(x)^2*x-841*f(x)*x+f(x)-1 ogf] A121498 6.80694 [-1/1414562*(-1-841*x-1682*x^2+(1+1682*x+710645*x^2)^(1/2))/x^2 revogf] A121499 10.0377 [-841*f(x)*x+f(x)-1 ogf] A121499 18.7662 [-1/(841*x-1) ogf] A121499 24.8253 [1/841*ln(1+841*x) revegf] A121499 28.1354 [-841/(-1+841*x) lgdogf] A121499 7.99300 [{a(n+1)-841*a(n),a(0)=1} ogf] A121509 12.0063 [-(3*x^3+5*x^2+x+1)/(x+1)/(x-1)^3 ogf] A121509 14.5170 [-(x^2+4*x+1)*(3*x^2+4*x+3)/(x-1)/(x+1)/(3*x^3+5*x^2+x+1) lgdogf] A121509 6.96166 [(f(x)-8)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x+5*x^2-f(x)+x+1) ogf] A121511 5.69021 [-(-5-21*x-15*x^5+21*x^7-49*x^2-15*x^4+55*x^3-3*x^6)/(x-1)/(x+1)/(21*x^4-12*x^3-8*x^2-4*x-1)/(x^2+1) lgdogf] A121511 7.32885 [-(21*x^4-12*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A121512 11.9010 [-(7*x^3-6*x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A121512 4.97679 [{(n+7)*a(n+1)+a(n+2)+a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=4,a(2)=10,a(3)=4} ogf] A121512 6.62236 [(551*f(x)+8789)*(f(x)*x^4-f(x)*x^3+7*x^3-f(x)*x-6*x^2+f(x)-3*x-1) ogf] A121512 8.04758 [-(-4-16*x+7*x^5+8*x^2-5*x^4-8*x^3)/(x-1)/(x^2+x+1)/(7*x^3-6*x^2-3*x-1) lgdogf] A121515 10.2530 [-3*(23166*x^4-7758*x^3+x-1)/(9*x-1)/(3*x-1) ogf] A121515 5.0553 [(7110520536610062*f(x)+3161984934488788303)*(69498*x^4+27*f(x)*x^2-23274*x^3-12*f(x)*x+f(x)+3*x-3) ogf] A121517 10.1775 [-(x^2+3*x-1)/(x+1)/(x^2-5*x+1) ogf] A121517 11.0597 [-(1+6*x-11*x^2+x^4+6*x^3)/(x+1)/(x^2-5*x+1)/(x^2+3*x-1) lgdogf] A121517 5.30622 [-(59*f(x)-26)*(f(x)*x^3-4*f(x)*x^2-4*f(x)*x+x^2+f(x)+3*x-1) ogf] A121517 5.54310 [{-a(n+3)+4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A121523 5.79218 [-(-3+7*x+29*x^5-15*x^7+15*x^8+3*x^2-17*x^4-8*x^3-10*x^6)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(5*x^4-5*x^3-x^2+3*x-1) lgdogf] A121523 5.80535 [(5*x^4-5*x^3-x^2+3*x-1)/(x+1)/(x^2+x-1)/(x^2-3*x+1)^2 ogf] A121525 5.48732 [x*(2*x^4-3*x^3+2*x^2+x-1)/(x+1)/(x^2+x-1)/(x^2-3*x+1)^2 ogf] A121525 6.09684 [-(-5+7*x+14*x^5-10*x^7+6*x^8+11*x^2-34*x^4+8*x^6)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(2*x^4-3*x^3+2*x^2+x-1) lgdogf] A121530 5.78218 [x*(3*x^4-4*x^3+x^2+2*x-1)/(x+1)/(x^2+x-1)/(x^2-3*x+1)^2 ogf] A121530 6.12529 [-(-4+8*x+23*x^5-13*x^7+9*x^8+7*x^2-28*x^4-7*x^3+2*x^6)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(3*x^4-4*x^3+x^2+2*x-1) lgdogf] A121532 5.84263 [x^2*(x^4-2*x^3+3*x^2-1)/(x+1)/(x^2+x-1)/(x^2-3*x+1)^2 ogf] A121532 6.23625 [-(-6+6*x+5*x^5-7*x^7+3*x^8+15*x^2-40*x^4+7*x^3+14*x^6)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-2*x^3+3*x^2-1) lgdogf] A121544 14.1444 [-6*(x-1)/(16*x-1)/(4*x-1) ogf] A121544 15.5529 [-(19-128*x+64*x^2)/(x-1)/(-1+4*x)/(16*x-1) lgdogf] A121544 7.38651 [(42*f(x)+109)*(64*f(x)*x^2-20*f(x)*x+f(x)+6*x-6) ogf] A121544 7.73006 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=6,a(1)=114} ogf] A121545 25.1699 [-x*(-1+2*x)^2/(x-1)^3 revogf] A121545 5.1223 [-x*f(x)^3-4*f(x)^3+3*f(x)^2*x+4*f(x)^2-3*f(x)*x-f(x)+x ogf] A121555 3.30211 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(2*n^2+9*n+8)*a(n+2)+(-n-1)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A121590 14.5108 [-(-12*x-12)/(-x^3+1) ogf_with_Euler_transform] A121591 14.8806 [-(6*x^3+6*x^2+6*x+6)/(x^5-1) ogf_with_Euler_transform] A121596 16.5797 [-(-6*x-6)/(-x^3+1) ogf_with_Euler_transform] A121607 15.0704 [-3*(5+15*x+18*x^2)/(3*x-1)/(9*x^2+3*x+1) lgdogf] A121607 3.53444 [{(-n-4)*a(n+4)+15*a(n+3)+45*a(n+2)+(81+27*n)*a(n+1),a(0)=6,a(1)=90,a(2)=810,a(3)=5508} ogf] A121607 4.45647 [(11*f(x)+81)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x-54*x^2+f(x)-18*x-6) ogf] A121607 8.09201 [6*(9*x^2+3*x+1)/(3*x-1)^4 ogf] A121613 13.3969 [-(4*x^3+4*x^2+4)/(-x^4+1) ogf_with_Euler_transform] A121613 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi/GAMMA(3/4)^4 A121621 13.9951 [-(2*x-1)/(13*x^2-4*x+1) ogf] A121621 16.0178 [-2*(1-13*x+13*x^2)/(-1+2*x)/(13*x^2-4*x+1) lgdogf] A121621 7.39971 [(9*f(x)-11)*(13*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A121621 7.75634 [{a(n+2)-4*a(n+1)+13*a(n),a(0)=1,a(1)=2} ogf] A121622 13.8552 [-(3*x-1)/(13*x^2-6*x+1) ogf] A121622 16.9198 [-(3-26*x+39*x^2)/(3*x-1)/(13*x^2-6*x+1) lgdogf] A121622 7.32572 [(8*f(x)-17)*(13*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A121622 7.67877 [{-a(n+2)+6*a(n+1)-13*a(n),a(0)=1,a(1)=3} ogf] A121627 13.9769 [-4*x*(3-6*x+2*x^2)/(2*x^2-4*x+1)/(2*x^2-2*x+1) lgdegf] A121627 16.4855 [-1/4*(-1-2*x+(1-4*x-4*x^2)^(1/2))/(x+1) revegf] A121627 4.68412 [(5*f(x)+23)*(4*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+4*x-1) egf] A121627 8.82514 [(2*x^2-4*x+1)/(2*x^2-2*x+1)^2 egf] A121628 10.1772 [3*x*(x^2+10*x+7)/(x-1)^4 ogf] A121628 21.1289 [-2*(19+16*x+x^2)/(x-1)/(x^2+10*x+7) lgdogf] A121628 3.76005 [{(21+7*n)*a(n+4)+(-32+3*n)*a(n+3)+(-41-9*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=21,a(2)=114,a(3)=333} ogf] A121628 5.45207 [(424*f(x)+7817)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-30*x^2+f(x)-21*x) ogf] A121629 11.2011 [-(2*(1-2*x)^(1/2)+1)/(1-2*x)^(1/2)/(-1+2*x) lgdegf] A121630 7.42221 [(-9*n-21)*a(n+1)+(6*n+16)*a(n+2)+(-n-3)*a(n+3),a(0)=4,a(1)=13,a(2)=41 lgdegf] A121631 7.63078 [(-16*n-36)*a(n+1)+(8*n+21)*a(n+2)+(-n-3)*a(n+3),a(0)=5,a(1)=21,a(2)=173/2 lgdegf] A121635 11.2298 [-(x^2-x+1)/(x-1)^3 egf] A121635 21.8379 [-(x^2+2)/(x-1)/(x^2-x+1) lgdegf] A121638 4.49652 [{a(n+1)+(n+4)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=7} ogf] A121646 11.2059 [-(x-1)^2/(x+1)/(x^2-3*x+1) ogf] A121646 20.2038 [-x*(6-3*x+x^2)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A121646 5.79289 [-(637*f(x)-92)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x+1) ogf] A121646 6.15822 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=0,a(2)=-3} ogf] A121666 13.5328 [-(-6*x^4-12*x^2-6)/(x^6-1) ogf_with_Euler_transform] A121667 12.9866 [-(-4*x^4-8*x^3-8*x-4)/(x^6-1) ogf_with_Euler_transform] A121670 11.1311 [-2*x*(x^2-5*x+1)/(x-1)^4 ogf] A121670 4.16012 [{(-3-n)*a(n+4)+(11+6*n)*a(n+3)+(-19-6*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=-2,a(2)=2,a(3)=18} ogf] A121670 5.88359 [-(21*f(x)+94)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-10*x^2+f(x)+2*x) ogf] A121671 10.8729 [-2*(-158-173*x+42*x^2+2*x^4-13*x^3)/(x-1)/(4*x^4-21*x^3+49*x^2-111*x-41) lgdogf] A121671 8.17970 [(4*x^4-61*x^3-71*x^2+9*x-1)/(x-1)^5 ogf] A121672 6.43873 [-2*x*(2*x^4+7*x^3-78*x^2+7*x+2)/(x-1)^6 ogf] A121672 8.58498 [2*(19-121*x-291*x^2+4*x^4+29*x^3)/(x-1)/(5*x^6-30*x^5+71*x^4-114*x^3+231*x^2-44*x+1) lgdogf] A121686 5.03599 [-4*f(x)^2*x^4+f(x)^2*x^3-16*f(x)*x^3+28*f(x)*x^2-14*f(x)*x-16*x^2+2*f(x)+16*x-4 ogf] A121693 4.42652 [{-a(n+5)+6*a(n+4)-11*a(n+3)+6*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=12,a(4)=57} ogf] A121693 5.73076 [f(x)*(6*f(x)*x^3-4*x^4-11*f(x)*x^2+6*x^3+6*f(x)*x+x^2-f(x)) ogf] A121693 9.16923 [x^2*(4*x^2-6*x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A121693 9.48253 [-6*(-2+5*x+4*x^2+4*x^4-12*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(4*x^2-6*x-1) lgdogf] A121696 3.36331 [{(-n^2-8*n-15)*a(n+1)+(-n^2-8*n-16)*a(n+2)+a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=9} ogf] A121720 13.2006 [-x*(x^2-x-1)/(2*x^4-4*x^2+1) ogf] A121720 13.6966 [-(1+6*x+4*x^5+4*x^2-6*x^4-8*x^3)/(x^2-x-1)/(2*x^4-4*x^2+1) lgdogf] A121720 7.89446 [-(12*f(x)+7)*(2*f(x)*x^4-4*f(x)*x^2+x^3-x^2+f(x)-x) ogf] A121724 3.58953 [{(-80*n-160)*a(n+1)+(16*n+32)*a(n+2)+(5*n+25)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=5,a(3)=9} ogf] A121724 33.9001 [x*(x+1)/(1+2*x+5*x^2) revogf] A121724 9.41668 [5*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A121725 3.40946 [{(-360*n-720)*a(n+1)+(36*n+72)*a(n+2)+(10*n+50)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=10,a(3)=19} ogf] A121725 31.3471 [x*(x+1)/(1+2*x+10*x^2) revogf] A121725 9.00449 [10*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A121735 13.2473 [2*(-1+3*x+6*x^2+x^3)/(x^2+x+1)/(3*x^4+6*x^3+8*x^2+2*x+2) lgdegf] A121735 4.77141 [-(f(x)-7)*(2*f(x)*x^4+4*f(x)*x^3-3*x^4+6*f(x)*x^2-6*x^3+4*f(x)*x-8*x^2+2*f(x)-2*x-2) egf] A121735 8.36399 [1/2*(3*x^4+6*x^3+8*x^2+2*x+2)/(x^2+x+1)^2 egf] A121740 12.2925 [8*x/(x^2-66*x+1) ogf] A121740 19.9651 [-2*(-33+x)/(x^2+1-66*x) lgdogf] A121740 5.69651 [{a(n+2)-66*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A121740 7.78522 [-f(x)*x^2+66*f(x)*x-f(x)+8*x ogf] A121740 9.00385 [-(-4-33*x+2*(17*x+2)^(1/2)*(8*x+1)^(1/2)*2^(1/2))/x revogf] A121746 3.29140 [{(n^2+9*n+20)*a(n+1)+(n^2+9*n+22)*a(n+2)-4*a(n+4)-2*a(n+3),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A121780 4.64873 [-x*(x^9-19*x^8+120*x^7-177*x^6+386*x^5-605*x^4+489*x^3-214*x^2+54*x-8)/(x^2-3*x+1)^5 ogf] A121781 5.49457 [-2*x*(2*x^4-10*x^3+13*x^2-7*x+4)/(2*x-1)^5 ogf] A121781 8.59884 [-(33-30*x-32*x^3+4*x^4+48*x^2)/(2*x-1)/(2*x^4-10*x^3+13*x^2-7*x+4) lgdogf] A121782 19.5827 [-3*(11+8*x+x^2)/(x-1)/(x+4)/(x+1) lgdogf] A121782 6.43561 [2*x*(x+4)*(x+1)^2/(x-1)^6 ogf] A121795 6.85826 [-(x^8-2*x^7+2*x^6-3*x^5+3*x^4+2*x^2-x+1)*(x+1)^2/(x^12+6*x^6-1) ogf] A121798 3.71470 [x*(281*x^6-1829*x^5-649*x^4+2259*x^3+494*x^2-296*x-28)/(x+1)/(3*x-1)/(x^2-2*x-1)/(2*x^4-16*x^3+5*x^2+4*x-1) ogf] A121800 4.59054 [x*(30532*x^4+32660*x^3-14868*x^2-4058*x-159)/(14*x^2-8*x+1)/(2*x^2-1)/(2*x^2+4*x+1) ogf] A121801 11.3331 [-2*x*(x-3)/(x+1)/(x^2-3*x+1) ogf] A121801 13.8282 [-(5+12*x-11*x^2+2*x^3)/(x-3)/(x+1)/(x^2-3*x+1) lgdogf] A121801 5.52123 [-(1667*f(x)+1426)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-6*x) ogf] A121801 5.76772 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=10} ogf] A121803 4.02284 [x*(1130*x^5-2122*x^4+331*x^3+829*x^2-236*x-28)/(x-1)/(2*x+1)/(2*x-1)/(13*x^4-19*x^3-2*x^2+6*x-1) ogf] A121804 5.22892 [x*(8094*x^4+45409*x^3-8931*x^2-3733*x-159)/(6*x-1)/(3*x-1)/(2*x-1)/(3*x+1)/(x+1) ogf] A121813 6.43855 [-(f(x)*x-f(x)+x)^3 ogf] A121816 11.5287 [(x^6-8*x^2+x+9)/(x+1)/(x-1)^2 ogf] A121816 11.8016 [(-10-12*x+6*x^2+8*x^3-6*x^5-x^6+3*x^7)/(x-1)/(x+1)/(x^6-8*x^2+x+9) lgdogf] A121822 4.5697 [-(16*f(x)-1)*(225*f(x)*x^3-259*f(x)*x^2+35*f(x)*x+149*x^2-f(x)-30*x+1) ogf] A121822 4.80205 [{-a(n+3)+35*a(n+2)-259*a(n+1)+225*a(n),a(0)=1,a(1)=5,a(2)=65} ogf] A121822 7.21181 [-5*(1-44*x+6705*x^4-2700*x^3+646*x^2)/(x-1)/(25*x-1)/(9*x-1)/(149*x^2-30*x+1) lgdogf] A121822 8.21220 [-(149*x^2-30*x+1)/(x-1)/(25*x-1)/(9*x-1) ogf] A121826 5.43893 [1/11*x*(-11+2*x+412*x^2+1904*x^3+90*x^8)/(-11-9*x+414*x^2+2316*x^3+1904*x^4+90*x^8) revegf] A121826 9.98341 [(121*f(x)*x^2-22*f(x)*x+f(x)-11)^2 egf] A121827 8.36954 [-(x^7-6*x^6-6*x^5-6*x^4-6*x^3-6*x^2-6*x-6)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A121832 18.5425 [-(x+1)*(6*x^4-x^3+x^2-x+1)/(x^5-1+x+x^6) lgdogf] A121832 20.4551 [-1/(x^6+x^5+x-1) ogf] A121833 17.5267 [-1/(x+1)/(x^5-x^4+x^3+x-1) ogf] A121833 19.4303 [-x*(2+6*x^4+3*x)/(x+1)/(x^5-x^4+x^3+x-1) lgdogf] A121873 15.4473 [-x*(-1+x^2+x)/(x+1)^2 revogf] A121873 7.35343 [f(x)^3*x^2+f(x)^2*x^2+f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A121887 5.64356 [(2177213*x^5-10324925*x^4+19628654*x^3-18696356*x^2+8921273*x-1705829)/(x-1)^6 ogf] A121888 5.35805 [-(1387493*x^6-7764198*x^5+18179331*x^4-22787908*x^3+16122821*x^2-6102720*x+965201)/(x-1)^7 ogf] A121892 2.97534 [-(f(x)-1)*(2*f(x)*x-2*x^2-f(x)+1) egf] A121892 5.44271 [(2*x^2-1)/(2*x-1) egf] A121892 6.45124 [2*(1-2*x+2*x^2)/(2*x-1)/(2*x^2-1) lgdegf] A121897 15.8172 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A121907 14.3587 [-(x^2+x+1)/(2*x^2+2*x-1) ogf] A121907 21.9865 [-3*(2*x+1)/(x^2+x+1)/(2*x^2+2*x-1) lgdogf] A121907 7.46088 [{a(n+3)-2*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A121907 8.09584 [(-5+11*f(x))*(2*f(x)*x^2+2*f(x)*x+x^2-f(x)+x+1) ogf] A121925 6.20799 [-(91+181*x+184*x^7+91*x^8+x^9+367*x^5+272*x^6+457*x^4+362*x^3+274*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+45*x^4+46*x^3+45*x^2+46*x+45) lgdogf] A121925 8.64236 [x*(x^5+45*x^4+46*x^3+45*x^2+46*x+45)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A121929 6.61844 [-(92+182*x+183*x^7+90*x^8+366*x^5+271*x^6+458*x^4+363*x^3+275*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(45*x^4+46*x^3+45*x^2+46*x+46) lgdogf] A121929 9.44630 [x*(45*x^4+46*x^3+45*x^2+46*x+46)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A121948 12.7984 [(6+7*x^6-5*x^4+2*x^3+4*x^5-3*x^2-14*x^7+7*x^8)/(x-1)/(x^8-x^7+x^5+x^3+2*x-8) lgdogf] A121948 14.3666 [(x^8-x^7+x^5+x^3+2*x-8)/(x-1) ogf] A121953 5.26953 [{-a(n+1)+(-n-3)*a(n+2)+a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=2} ogf] A121955 4.48829 [(89057*f(x)+120285)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+8*x^3-f(x)*x-8*x^2+f(x)-9*x) ogf] A121955 7.84602 [-(17+110*x-112*x^4-112*x^3+64*x^5+118*x^2)/(8*x^2-8*x-9)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A121955 8.73066 [-x*(8*x^2-8*x-9)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A121956 4.52898 [{a(n+1)+(n+2)*a(n+2)-a(n+4)+a(n+3),a(0)=0,a(1)=1,a(2)=1,a(3)=2} ogf] A121957 5.05840 [-(75+306*x+92*x^7-615*x^2-2002*x^3+1701*x^4+3464*x^5-1164*x^6)/(23*x^3-148*x^2-11*x+43)/(2*x^5-12*x^4-7*x^3+7*x^2+2*x-1) lgdogf] A121957 6.48992 [-x*(23*x^3-148*x^2-11*x+43)/(2*x^5-12*x^4-7*x^3+7*x^2+2*x-1) ogf] A121958 3.61546 [{a(n+1)+(n^2+5*n+5)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A121960 6.45439 [-(116*x^4+71*x^3-49*x^2-30*x-1)/(2*x+1)/(4*x^2+2*x-1)/(2*x^2-1) ogf] A121961 10.4919 [-1/(4*x^2+2*x-1)/(2*x+1)/(2*x^2-1)^2 ogf] A121961 12.9899 [-8*x*(-3+14*x^3+12*x^2-3*x)/(2*x+1)/(4*x^2+2*x-1)/(2*x^2-1) lgdogf] A121963 6.11170 [-(2+14*x+28*x^7-9*x^8+69*x^2+108*x^3+182*x^4+6*x^5-16*x^6+2*x^9)/(x^4-3*x^3+7*x^2+2*x+1)/(x^6+26*x^3-1) lgdogf] A121963 8.19735 [-x*(x^4-3*x^3+7*x^2+2*x+1)/(x^6+26*x^3-1) ogf] A121965 6.11163 [{-a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A121966 3.70916 [{(n^2+4*n+4)*a(n+1)+(n^2+6*n+10)*a(n+2)-2*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=-3} ogf] A121968 10.2829 [-(2*x^3-4*x^2+2*x-1)/(x-1)^4 ogf] A121968 18.0595 [-2*(-1-x+x^3-x^2)/(x-1)/(2*x^3-4*x^2+2*x-1) lgdogf] A121968 4.18934 [{(29*n^2+187*n+258)*a(n+1)+(-64*n^2-356*n-408)*a(n+2)+(35*n^2+151*n+138)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A121968 5.65561 [(41*f(x)+507)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-4*x^2+f(x)+2*x-1) ogf] A121986 7.35226 [-(x^2-x+1)*(x^5-4*x^4-7*x^3+7*x^2-2*x+1)/(x-1)/(x^3+x^2+x-1)/(x^4-3*x^3+2*x-1) lgdogf] A121986 7.62613 [(x^4-3*x^3+2*x-1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A121988 39.8212 [-x*(x-1)*(x^2-x+1) revogf] A121988 4.40337 [{(64*n^2-4)*a(n)+(-28*n^2-42*n-14)*a(n+1)+(3*n^2+9*n+6)*a(n+2),a(0)=0,a(1)=1,a(2)=2} ogf] A121990 10.5755 [-(13-4*x+2*x^4+18*x^3-41*x^2)/(x-1)/(x^2-3*x+1)/(2*x^2+9*x+1) lgdogf] A121990 10.7891 [-(2*x^2+9*x+1)/(x^2-3*x+1)/(x-1) ogf] A121990 5.39455 [(717911*f(x)-1825895)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+9*x+1) ogf] A121990 5.77312 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=50} ogf] A121991 4.59669 [(18078384*f(x)-18977065)*(f(x)*x^4-4*f(x)*x^2+2*x^3+4*f(x)*x+9*x^2-f(x)+x) ogf] A121991 9.12268 [-x*(2*x^2+9*x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A121991 9.40645 [-(-13-9*x+31*x^3+4*x^4+35*x^2)/(x-1)/(2*x^2+9*x+1)/(x^2+2*x-1) lgdogf] A121996 8.43343 [-x*(x^11+2*x^10-2*x^8+x^5-2*x^4-2*x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A122006 13.3511 [-x*(x-1)/(3*x-1)/(3*x^2-1) ogf] A122006 13.3894 [-2*(1+3*x+9*x^3-15*x^2)/(x-1)/(-1+3*x)/(3*x^2-1) lgdogf] A122006 6.85594 [-(2*f(x)+1)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+x^2+f(x)-x) ogf] A122006 6.85595 [{-a(n+3)+3*a(n+2)+3*a(n+1)-9*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A122007 13.1834 [-(1+6*x+36*x^3-33*x^2)/(-1+3*x)/(2*x-1)/(3*x^2-1) lgdogf] A122007 13.4101 [-2*x*(2*x-1)/(3*x-1)/(3*x^2-1) ogf] A122007 6.88628 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A122007 7.1437 [(f(x)+2)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+4*x^2+f(x)-2*x) ogf] A122008 10.7115 [-2*x*(-5+9*x^3-27*x^2+21*x)/(x-1)/(-1+3*x)/(2*x-1)/(3*x^2-1) lgdogf] A122008 12.4756 [(2*x-1)*(x-1)/(3*x-1)/(3*x^2-1) ogf] A122008 6.67552 [(102*f(x)+23)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A122008 6.85595 [{-a(n+3)+3*a(n+2)+3*a(n+1)-9*a(n),a(0)=1,a(1)=0,a(2)=5} ogf] A122009 5.01849 [(459*f(x)-46)*(2*f(x)*x^3-15*f(x)*x^2+12*f(x)*x+6*x^2-f(x)-11*x+1) ogf] A122009 5.15055 [{-a(n+3)+12*a(n+2)-15*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A122009 8.58478 [-(1-18*x+99*x^2-44*x^3+12*x^4)/(6*x^2-11*x+1)/(2*x^3-15*x^2+12*x-1) lgdogf] A122009 9.17442 [-(6*x^2-11*x+1)/(2*x^3-15*x^2+12*x-1) ogf] A122010 4.82054 [-(7*f(x)+1)*(2*f(x)*x^3-15*f(x)*x^2+12*f(x)*x-5*x^2-f(x)+x) ogf] A122010 4.82054 [{a(n+3)-12*a(n+2)+15*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A122010 9.23256 [x*(5*x-1)/(2*x^3-15*x^2+12*x-1) ogf] A122010 9.92385 [-(-7+30*x+20*x^3-81*x^2)/(5*x-1)/(2*x^3-15*x^2+12*x-1) lgdogf] A122011 11.1889 [-(13-30*x-9*x^2+4*x^3)/(x+1)/(2*x^3-15*x^2+12*x-1) lgdogf] A122011 4.98489 [{a(n+3)-12*a(n+2)+15*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=13} ogf] A122011 5.16615 [(13*f(x)+1)*(2*f(x)*x^3-15*f(x)*x^2+12*f(x)*x+x^2-f(x)+x) ogf] A122011 9.63181 [-x*(x+1)/(2*x^3-15*x^2+12*x-1) ogf] A122012 10.6204 [-(3+14*x-9*x^4-12*x^3+4*x^5+9*x^2)/(2*x^2-3*x-3)/(x^2+x-1)/(x^2-x-1) lgdogf] A122012 12.0167 [-x*(2*x^2-3*x-3)/(x^2+x-1)/(x^2-x-1) ogf] A122012 6.98111 [-(183*f(x)+391)*(f(x)*x^4-3*f(x)*x^2+2*x^3-3*x^2+f(x)-3*x) ogf] A122013 5.72729 [-(5*x^7-20*x^6-2*x^5+54*x^4+7*x^3-20*x^2-8*x-1)/(x^4-x^3-3*x^2+x+1)/(x^4+x^3-3*x^2-x+1) ogf] A122014 5.64022 [-(8*x^7-33*x^6-30*x^5+88*x^4+35*x^3-33*x^2-11*x-1)/(x^4-x^3-3*x^2+x+1)/(x^4+x^3-3*x^2-x+1) ogf] A122015 4.65342 [-(21*x^7+65*x^6+77*x^5+39*x^4-17*x^3-38*x^2-11*x-1)/(x+1)/(x^3+x^2-1)/(x^4+2*x^3+x^2+x-1) ogf] A122021 4.84485 [{(-n-3)*a(n+1)-a(n+4)+a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=1} ogf] A122023 7.07820 [-x*(80*x^5+28*x^4-x^3+x^2+3*x+1)/(3*x^2-1)/(8*x^4-7*x^2+1) ogf] A122033 8.23960 [{2*a(n)*n+a(n+2)-2*a(n+1),a(0)=1,a(1)=2} ogf] A122038 4.32415 [{a(n+3)-39*a(n+2)+351*a(n+1)-729*a(n),a(0)=36,a(1)=864,a(2)=21060} ogf] A122038 4.46828 [(18388*f(x)+146637)*(729*f(x)*x^3-351*f(x)*x^2+39*f(x)*x-f(x)-540*x+36) ogf] A122038 7.96003 [-6*(-4+117*x-1242*x^2+3645*x^3)/(15*x-1)/(3*x-1)/(9*x-1)/(-1+27*x) lgdogf] A122038 8.79007 [36*(15*x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A122039 12.0491 [(2*x^2-1)/(2*x-1)/(x-1)^2 ogf] A122039 14.6318 [-2*(2-5*x+2*x^3+2*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A122039 6.02454 [-(47*f(x)+394)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+1) ogf] A122039 6.13212 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A122041 10.4882 [1/2*ln(x+12)-arctanh((44*x+529)^(1/2))-1/2*ln(12)+arctanh(23) revegf] A122041 13.8960 [-(24*x-23)/(2*x-1)/(x-1) ogf] A122041 15.2329 [-(45-92*x+48*x^2)/(x-1)/(24*x-23)/(-1+2*x) lgdogf] A122041 6.87486 [-(43*f(x)+1036)*(2*f(x)*x^2-3*f(x)*x+f(x)+24*x-23) ogf] A122041 7.77513 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=23,a(1)=45} ogf] A122044 7.88513 [{a(n)*n+a(n+3)-a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A122046 12.1309 [x^3/(x+1)/(x^2+1)/(x-1)^4 ogf] A122046 20.9896 [-a(n+4)+a(n),a(0)=3,a(1)=3,a(2)=3,a(3)=7 lgdogf] A122046 35.2562 [[x^3+3] ogf_with_Euler_transform] A122047 12.9419 [-(3+3*x+3*x^2+3*x^3+8*x^4)/(x-1)/(x^4+x^3+x^2+x+1) lgdogf] A122047 26.0275 [[x^4+3] ogf_with_Euler_transform] A122047 8.96801 [x^2/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A122048 5.98952 [{a(n+1)+(-n-2)*a(n+2)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=1} ogf] A122056 14.4211 [[x^7+3] ogf_with_Euler_transform] A122056 4.85337 [x^2/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A122057 4.39932 [{(-n^2-8*n-16)*a(n+1)+(2*n+9)*a(n+2)-a(n+3),a(0)=0,a(1)=-2,a(2)=-14} ogf] A122058 4.08896 [-(31269217*f(x)-11300682)*(12*f(x)*x^4-f(x)*x^3-11*f(x)*x^2-6*x^3-f(x)*x-6*x^2+f(x)-4*x-1) ogf] A122058 6.91488 [-(-5-34*x+72*x^6+204*x^4+52*x^3+144*x^5-59*x^2)/(x-1)/(6*x^3+6*x^2+4*x+1)/(12*x^3+11*x^2-1) lgdogf] A122058 8.12615 [(6*x^3+6*x^2+4*x+1)/(x-1)/(12*x^3+11*x^2-1) ogf] A122061 5.76137 [-(4*x^10+10*x^9+15*x^8+56*x^7+58*x^6+48*x^5+32*x^4+40*x^3+18*x^2+6*x+1)/(x^2+1)^3/(x-1)^3/(x+1)^3 ogf] A122065 5.81907 [(45*x^12+61*x^11+54*x^10+141*x^9+74024*x^8-89*x^7-58*x^6-37*x^5-61*x^4-65*x^3-74*x^2-183*x-74169)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A122068 5.25187 [-(49*f(x)+16)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A122068 5.43614 [{-a(n+3)+7*a(n+2)-14*a(n+1)+7*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A122068 9.19708 [-(3-22*x+56*x^2-56*x^3+21*x^4)/(x-1)/(-1+3*x)/(7*x^3-14*x^2+7*x-1) lgdogf] A122068 9.99548 [-(3*x-1)*(x-1)/(7*x^3-14*x^2+7*x-1) ogf] A122069 16.1421 [1/18/x*(-3*x-1+(45*x^2+6*x+1)^(1/2)) revogf] A122069 17.9842 [-1/(9*x^2+3*x-1) ogf] A122069 24.2131 [-3*(1+6*x)/(9*x^2-1+3*x) lgdogf] A122069 7.23756 [{-a(n+2)+3*a(n+1)+9*a(n),a(0)=1,a(1)=3} ogf] A122069 7.32692 [(5*f(x)-4)*(9*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A122074 12.8886 [-1/2*(-1-7*x+(1+10*x+41*x^2)^(1/2))/(2*x+1) revogf] A122074 15.5239 [-(x-1)/(2*x^2-7*x+1) ogf] A122074 16.3003 [-2*(3-2*x+x^2)/(x-1)/(2*x^2-7*x+1) lgdogf] A122074 7.59321 [-(191*f(x)-29)*(2*f(x)*x^2-7*f(x)*x+f(x)+x-1) ogf] A122074 8.51921 [{a(n+2)-7*a(n+1)+2*a(n),a(0)=1,a(1)=6} ogf] A122088 15.3395 [-(6*x^2-10*x-1)/(x+1)/(x-1)^2 ogf] A122088 19.4644 [-(-11-x+6*x^3-14*x^2)/(x-1)/(x+1)/(6*x^2-10*x-1) lgdogf] A122088 8.12865 [(815*f(x)+9433)*(f(x)*x^3-f(x)*x^2-f(x)*x+6*x^2+f(x)-10*x-1) ogf] A122088 8.41638 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=6} ogf] A122089 5.76705 [-(2*x^15-4*x^13-4*x^11-x^10-4*x^9-2*x^8-4*x^7-2*x^6-4*x^5-2*x^4-2*x^3-2*x^2-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A122099 15.3016 [-(x+1)*(3*x+1)/(x^3-3*x-1) ogf] A122099 16.0209 [-(1+6*x+12*x^2+8*x^3+3*x^4)/(3*x+1)/(x+1)/(x^3-3*x-1) lgdogf] A122099 8.72024 [(f(x)-1)*(f(x)*x^3-3*f(x)*x+3*x^2-f(x)+4*x+1) ogf] A122099 8.72025 [{a(n+3)+3*a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A122100 14.2543 [(3*x-1)*(x-1)/(x^3-3*x+1) ogf] A122100 15.9389 [-(1-6*x+12*x^2-8*x^3+3*x^4)/(x-1)/(3*x-1)/(x^3-3*x+1) lgdogf] A122100 8.12341 [(f(x)-1)*(f(x)*x^3-3*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A122100 8.12342 [{a(n+3)-3*a(n+2)+a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A122109 10.0552 [-2*(1+6*x-8*x^3+6*x^4+3*x^2)/(x-1)/(3*x+1)/(4*x^3-9*x^2+1) lgdogf] A122109 10.2887 [-(3*x+1)*(x-1)/(4*x^3-9*x^2+1) ogf] A122109 6.23891 [{-a(n+3)+9*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A122109 9.44332 [f(x)*(4*f(x)*x^3-9*f(x)*x^2+3*x^2+f(x)-2*x-1) ogf] A122112 14.6617 [(x-1)/(4*x^2-x-1) ogf] A122112 18.2394 [1/2/(4*x-1)*(x-1+(1-6*x+17*x^2)^(1/2)) revogf] A122112 20.3852 [-2*(1-4*x+2*x^2)/(x-1)/(4*x^2-x-1) lgdogf] A122112 7.33085 [-(13*f(x)-9)*(4*f(x)*x^2-f(x)*x-f(x)-x+1) ogf] A122112 8.04605 [{a(n+2)+a(n+1)-4*a(n),a(0)=1,a(1)=-2} ogf] A122115 10.0167 [-(-1+14*x^7+10*x+8*x^5+8*x^8+7*x^6+7*x^2+22*x^3-34*x^4)/(8*x^4+7*x^3+5*x^2+2*x-3)/(x^5+x^3+x-1) lgdogf] A122115 12.4559 [-(8*x^4+7*x^3+5*x^2+2*x-3)/(x^5+x^3+x-1) ogf] A122117 14.2659 [(x-1)/(4*x-1)/(x+1) ogf] A122117 15.3477 [1/2/(4*x-1)*(-3*x-1+(25*x^2+2*x+1)^(1/2)) revogf] A122117 16.5593 [-2*(-1-4*x+2*x^2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A122117 7.37893 [(29*f(x)-25)*(4*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A122117 7.82885 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A122120 12.8546 [(x-1)/(9*x^2+4*x-1) ogf] A122120 13.4829 [1/2/(-1+9*x)*(-1-4*x+(1+4*x+52*x^2)^(1/2)) revogf] A122120 15.3049 [-3*(-1-6*x+3*x^2)/(x-1)/(9*x^2+4*x-1) lgdogf] A122120 6.64896 [(58*f(x)-49)*(9*f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A122120 7.05438 [{-a(n+2)+4*a(n+1)+9*a(n),a(0)=1,a(1)=3} ogf] A122124 7.88256 [-(5-x+27*x^4+x^9+7*x^8+2*x^7+14*x^6-4*x^3-7*x^5+16*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^5+3*x^4+x^3+3*x^2-x+3) lgdogf] A122124 7.88817 [(x^5+3*x^4+x^3+3*x^2-x+3)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A122133 5.61690 [(x^9+2*x^8+5*x^7+2*x^6+4*x^5+2*x^4+x^3-x^2+x+1)/(x^2+1)^2/(x-1)^4/(x+1)^4 ogf] A122161 12.4310 [(x^2-3*x+1)/(x^3-2*x^2-x+1) ogf] A122161 16.4195 [-(2-6*x+10*x^2-6*x^3+x^4)/(1-3*x+x^2)/(x^3-2*x^2-x+1) lgdogf] A122161 6.77047 [(13*f(x)-6)*(f(x)*x^3-2*f(x)*x^2-f(x)*x-x^2+f(x)+3*x-1) ogf] A122161 6.77047 [{-a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A122164 8.14110 [(1+4*x+6*x^5+20*x^4+12*x^3+18*x^6+6*x^7+9*x^8+3*x^2+3*x^10)/(3*x^5-1)/(x^6-x^5-3*x^4-x^3-2*x^2-x-1) lgdogf] A122164 9.62212 [x*(x^6-x^5-3*x^4-x^3-2*x^2-x-1)/(3*x^5-1) ogf] A122167 10.2043 [(x^3-6*x^2+5*x-1)/(2*x-1)/(x^3-3*x^2+1) ogf] A122167 10.3234 [-(3-18*x-24*x^5+51*x^2+2*x^6-82*x^3+69*x^4)/(2*x-1)/(x^3-3*x^2+1)/(x^3-6*x^2+5*x-1) lgdogf] A122167 5.57257 [(301*f(x)-621)*(2*f(x)*x^4-7*f(x)*x^3+3*f(x)*x^2-x^3+2*f(x)*x+6*x^2-f(x)-5*x+1) ogf] A122169 5.46501 [(4*x^7-28*x^6-14*x^5-7*x^4-8*x^3-4*x^2-2*x-1)/(x+1)/(x^2+1)/(8*x^4-1) ogf] A122173 6.53386 [-(x^5+x^4-15*x^3+19*x^2-8*x+1)/(x^6-12*x^5+34*x^4-30*x^3+6*x^2+3*x-1) ogf] A122174 7.64460 [-(-4+28*x+6*x^7-48*x^6+150*x^5-96*x^2+196*x^3-233*x^4)/(3*x^3-9*x^2+6*x-1)/(x^5-7*x^4+13*x^3-5*x^2-2*x+1) lgdogf] A122174 8.89849 [-(3*x^3-9*x^2+6*x-1)/(x^5-7*x^4+13*x^3-5*x^2-2*x+1) ogf] A122186 3.56213 [(15165369*f(x)-988219)*(f(x)*x^4+4*f(x)*x^3-21*f(x)*x^2+x^3-23*f(x)*x+4*x^2+f(x)-7*x-1) ogf] A122186 6.80863 [-(x^3+4*x^2-7*x-1)/(x+1)/(x^3+3*x^2-24*x+1) ogf] A122187 4.80897 [{a(n+3)-11*a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=14,a(2)=157} ogf] A122187 4.80898 [(1193*f(x)-20)*(f(x)*x^3-4*f(x)*x^2-11*f(x)*x+x^2+f(x)-3*x-1) ogf] A122187 8.99744 [-(x^2-3*x-1)/(x^3-4*x^2-11*x+1) ogf] A122187 9.58386 [-(14+6*x+20*x^2-6*x^3+x^4)/(x^2-3*x-1)/(x^3-4*x^2-11*x+1) lgdogf] A122189 11.3139 [-(1+2*x+7*x^6+5*x^4+4*x^3+6*x^5+3*x^2)/(x^2-1+x+x^4+x^3+x^6+x^5+x^7) lgdogf] A122189 9.89636 [-x^6/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A122190 5.83019 [-(2*x^8+x^7+x^6+2*x^3+2*x^2+x+1)/(-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A122192 6.28355 [6*(253*x^4+1288*x^3+506*x^2+1)/(x^6+759*x^4+2576*x^3+759*x^2+1) ogf] A122194 8.64531 [-(3*x^4-x^3+2*x^2-2*x-3)/(x-1)/(x^4+x^2-1) ogf] A122194 8.76333 [-(5+2*x+x^4+3*x^8-2*x^7+4*x^6-6*x^3-6*x^5-2*x^2)/(x-1)/(x^4+x^2-1)/(3*x^4-x^3+2*x^2-2*x-3) lgdogf] A122195 6.67009 [-(3*x^9+5*x^8-x^6+2*x^5+4*x^4-x^3-2*x^2-3*x-8)/(x-1)/(x^8+x^4-1) ogf] A122219 10.2195 [-(5*x^8+4*x^7+5*x^6+4*x^5+3*x^4+4*x^3+5*x^2+4*x+5)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A122229 4.40855 [{a(n+4)-4*a(n+3)-a(n+2)+4*a(n+1),a(0)=0,a(1)=2,a(2)=12,a(3)=56} ogf] A122229 4.92721 [(993*f(x)+143)*(4*f(x)*x^3-f(x)*x^2-6*x^3-4*f(x)*x-4*x^2+f(x)-2*x) ogf] A122229 9.02057 [2*x*(3*x^2+2*x+1)/(x-1)/(4*x-1)/(x+1) ogf] A122230 3.06369 [{a(n+4)-100*a(n+3)-a(n+2)+100*a(n+1),a(0)=0,a(1)=10,a(2)=1100,a(3)=111000} ogf] A122230 3.17389 [(232859209*f(x)+10881199)*(100*f(x)*x^3-f(x)*x^2-990*x^3-100*f(x)*x-100*x^2+f(x)-10*x) ogf] A122230 5.96177 [10*x*(99*x^2+10*x+1)/(x-1)/(100*x-1)/(x+1) ogf] A122265 7.35432 [-x^9/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A122265 7.68709 [-(1+8*x^7+9*x^8+10*x^9+5*x^4+4*x^3+7*x^6+6*x^5+2*x+3*x^2)/(x^2-1+x+x^8+x^4+x^9+x^3+x^10+x^6+x^5+x^7) lgdogf] A122274 11.3656 [-(-4*x^4-3*x^3-3*x^2-3*x-3)/(x^5-1) ogf_with_Euler_transform] A122275 8.32832 [-(-4*x^4-x^3-x^2-x-1)/(x^5-1) ogf_with_Euler_transform] A122299 11.6919 [-x*(x-1)/(x^3-3*x^2-2*x+1) ogf] A122299 14.9192 [-(1+6*x+2*x^3-6*x^2)/(x-1)/(x^3-3*x^2-2*x+1) lgdogf] A122299 6.00396 [{a(n+3)-2*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A122299 7.24741 [(f(x)+1)*(f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A122365 13.5283 [-x*(x-1)/(x^3-4*x^2-2*x+1) ogf] A122365 14.7564 [-(1+8*x+2*x^3-7*x^2)/(x-1)/(x^3-4*x^2-2*x+1) lgdogf] A122365 6.94695 [{a(n+3)-2*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A122365 7.20664 [(f(x)+1)*(f(x)*x^3-4*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A122367 16.7464 [-1/2*(-1-3*x+(1+2*x+5*x^2)^(1/2))/(1+x) revogf] A122367 17.0816 [-(x-1)/(x^2-3*x+1) ogf] A122367 21.7704 [-(2-2*x+x^2)/(x-1)/(x^2-3*x+1) lgdogf] A122367 8.54078 [-(21*f(x)-5)*(f(x)*x^2-3*f(x)*x+f(x)+x-1) ogf] A122367 9.37404 [{a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A122368 10.3677 [-(2*x-1)*(x-1)/(3*x^3-9*x^2+6*x-1) ogf] A122368 5.49941 [-(9*f(x)-4)*(3*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A122368 5.59674 [{-a(n+3)+6*a(n+2)-9*a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A122368 9.83682 [-(3-14*x+6*x^4-18*x^3+24*x^2)/(x-1)/(2*x-1)/(3*x^3-9*x^2+6*x-1) lgdogf] A122369 5.01913 [(217*f(x)+76)*(11*f(x)*x^4-37*f(x)*x^3+32*f(x)*x^2+6*x^3-10*f(x)*x-11*x^2+f(x)+6*x-1) ogf] A122369 5.84543 [-(4-42*x+175*x^2-368*x^3+413*x^4-242*x^5+66*x^6)/(x-1)/(-1+3*x)/(2*x-1)/(11*x^4-37*x^3+32*x^2-10*x+1) lgdogf] A122369 7.35065 [-(x-1)*(3*x-1)*(2*x-1)/(11*x^4-37*x^3+32*x^2-10*x+1) ogf] A122370 5.18491 [-(x-1)*(3*x-1)*(2*x-1)*(4*x-1)/(53*x^5-189*x^4+192*x^3-81*x^2+15*x-1) ogf] A122371 4.42446 [-(x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)/(309*x^6-1157*x^5+1314*x^4-669*x^3+170*x^2-21*x+1) ogf] A122372 3.89254 [-(x-1)*(6*x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)/(2119*x^7-8249*x^6+10190*x^5-5925*x^4+1845*x^3-316*x^2+28*x-1) ogf] A122391 10.7812 [-(x+1)*(x-1)^2/(2*x-1) ogf] A122391 17.9934 [(1-x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A122391 5.95210 [{a(n+4)-2*a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A122391 6.56783 [-(f(x)-1)*(x^3+2*f(x)*x-x^2-f(x)-x+1) ogf] A122392 11.4786 [(2+2*x+5*x^2+12*x^3+15*x^4)/(x-1)/(-1+3*x)/(x+1)/(x^2+x+1) lgdogf] A122392 9.83975 [(x+1)*(x^2+x+1)*(x-1)^3/(3*x-1) ogf] A122393 7.80780 [(3+4*x+36*x^6+41*x^4+18*x^3+30*x^5+12*x^2)/(x-1)/(-1+4*x)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A122393 8.27108 [-(x^2+x+1)*(x^2+1)*(x+1)^2*(x-1)^4/(4*x-1) ogf] A122407 12.9918 [-(6*x^3-3*x^2+2*x+3)/(-x^4+x^3-x+1) ogf_with_Euler_transform] A122434 19.9161 [x^2-3*x+2 ogf_with_Euler_transform] A122434 29.2706 [(2+x^2)/(x+1)/(x^2+x+1) lgdogf] A122434 4.42146 [{-a(n+4)-a(n+3)-a(n+2),a(0)=1,a(1)=2,a(2)=0,a(3)=-1} ogf] A122434 6.32436 [-f(x)*x^2+x^3-f(x)*x+3*x^2-f(x)+3*x+1 ogf] A122434 8.19057 [(x+1)^3/(x^2+x+1) ogf] A122439 18.0981 [-2*(-1-x+8*x^3)/(2*x-1)/(2*x^3+x^2-1) lgdogf] A122439 18.4693 [1/(2*x-1)/(2*x^3+x^2-1) ogf] A122439 6.6346 [-(5*f(x)-8)*(4*f(x)*x^4-f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A122441 3.37201 [{(8*n^2+4*n)*a(n)+(-7*n^2+46*n+48)*a(n+1)+(-49*n^2-164*n-132)*a(n+2)+(-6*n^2-30*n-36)*a(n+3),a(0)=1,a(1)=-1,a(2)=1} ogf] A122441 8.11110 [-(1+8*x+((1+8*x)*(2+x)^2)^(1/2))/(-1+x)/(x-3)/(1+8*x) lgdogf] A122441 9.32779 [-f(x)^2*x+3*f(x)^2+4*f(x)*x-7*f(x)-4*x+4 ogf] A122446 14.0200 [-1/4*(-1-2*x^2+(1-4*x^2+4*x^4+8*x^3)^(1/2))/x revogf] A122446 8.36072 [-2*f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2+f(x)-1 ogf] A122447 10.3226 [-1/4*(-1+6*x-3*x^2+(1-4*x+2*x^2-4*x^3+9*x^4)^(1/2))/(-1+x) revogf] A122447 6.14513 [-3*f(x)^2*x^2-4*f(x)^2*x+2*f(x)*x^2+6*f(x)*x+f(x)-2*x-1 ogf] A122448 5.34363 [3*f(x)^2*x^3+4*f(x)^2*x^2-2*f(x)*x^3-2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A122452 3.93075 [-6*f(x)^2*x^4+f(x)^2*x^3+2*f(x)*x^4+12*f(x)^2*x^2-9*f(x)*x^2-x^3+f(x)*x+2*x^2-2*f(x)+x+2 ogf] A122461 19.9214 [2*x^4/(x+1)/(x^2+1)/(x-1)^2 ogf] A122461 21.3443 [-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5 lgdogf] A122461 35.7488 [[x^3+1] ogf_with_Euler_transform] A122471 11.4938 [-(-6+22*x-35*x^2+7*x^3)/(x-1)/(7*x-1)/(x^2-3*x+1) lgdogf] A122471 4.75356 [-(3291*f(x)+832)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+x^2-f(x)-3*x+1) ogf] A122471 5.04544 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=1,a(1)=6,a(2)=40} ogf] A122471 9.27710 [-(x^2-3*x+1)/(7*x-1)/(x-1)^2 ogf] A122491 10.4107 [x^3*(x-2)/(x-1)/(x^2+x-1)^2 ogf] A122491 19.4637 [-(5+x+4*x^3-11*x^2)/(x-2)/(x-1)/(x^2+x-1) lgdogf] A122491 3.69412 [{(n^2+5*n+6)*a(n+1)+(-n-3)*a(n+2)+(-2*n^2-7*n-5)*a(n+3)+(n^2+3*n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A122501 3.98444 [-(52495124610*f(x)-461464224949)*(38*f(x)*x^4+54*f(x)*x^3+22*f(x)*x^2+47*x^3+25*x^2-f(x)+5*x+1) ogf] A122501 5.93371 [-(5+94*x+413*x^2+692*x^3+886*x^4+1900*x^5+1786*x^6)/(47*x^3+25*x^2+5*x+1)/(38*x^4+54*x^3+22*x^2-1) lgdogf] A122501 7.61129 [-(47*x^3+25*x^2+5*x+1)/(38*x^4+54*x^3+22*x^2-1) ogf] A122502 11.9778 [-x/(38*x^4+54*x^3+22*x^2-1) ogf] A122502 4.56296 [{a(n+4)-22*a(n+2)-54*a(n+1)-38*a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=22} ogf] A122502 5.08791 [(3234546*f(x)+638609)*(38*f(x)*x^4+54*f(x)*x^3+22*f(x)*x^2-f(x)+x) ogf] A122503 4.79112 [-f(x)*(38*f(x)*x^4+54*f(x)*x^3+22*f(x)*x^2-75*x^3-21*x^2-f(x)+x+1) ogf] A122503 5.92178 [-(-1-2*x+2850*x^6+1596*x^5-260*x^3-630*x^4+41*x^2)/(38*x^4+54*x^3+22*x^2-1)/(75*x^3+21*x^2-x-1) lgdogf] A122503 7.37094 [(75*x^3+21*x^2-x-1)/(38*x^4+54*x^3+22*x^2-1) ogf] A122504 7.81473 [(3*x^2+x-1)*(x^2+x-1)/(x^3-x^2-2*x+1)/(x^3-2*x^2-x+1) ogf] A122504 7.84082 [-(-1+4*x+42*x^5+3*x^8-8*x^6-36*x^7+6*x^9+2*x^2-20*x^3+x^4)/(x^2+x-1)/(x^3-x^2-2*x+1)/(x^3-2*x^2-x+1)/(3*x^2+x-1) lgdogf] A122508 21.3656 [-2*x*(1+9*x)/(2*x-1)/(3*x^2+2*x+1) lgdogf] A122508 22.3336 [-1/(2*x-1)/(3*x^2+2*x+1) ogf] A122508 7.92483 [{a(n+3)-a(n+1)-6*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A122508 8.47137 [(1153*f(x)-1152)*(6*f(x)*x^3+f(x)*x^2-f(x)+1) ogf] A122509 15.7883 [-x/(3*x-1)/(7*x^2+3*x+1) ogf] A122509 19.8922 [-x*(4+63*x)/(3*x-1)/(7*x^2+3*x+1) lgdogf] A122509 7.13019 [{-a(n+3)+2*a(n+1)+21*a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A122509 8.96093 [f(x)*(21*f(x)*x^3+2*f(x)*x^2-f(x)+x) ogf] A122512 18.0529 [1/(x^4-2*x^3-x^2+1) ogf] A122512 21.7481 [-2*x*(-1+2*x^2-3*x)/(1-x^2-2*x^3+x^4) lgdogf] A122512 8.04338 [(91*f(x)+11)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+f(x)-1) ogf] A122513 7.74367 [x*(5*x^3+9*x^2-45*x-1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A122514 17.2179 [x/(x^4-x^3-2*x^2+1) ogf] A122514 21.9224 [-x*(-4+4*x^2-3*x)/(1-2*x^2-x^3+x^4) lgdogf] A122514 6.35088 [{a(n+4)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=2} ogf] A122514 7.5224 [-(f(x)-3)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+f(x)-x) ogf] A122517 16.3436 [1/(x^5-2*x^4-x^3+1) ogf] A122517 22.3854 [-x^2*(5*x^2-8*x-3)/(1-x^3-2*x^4+x^5) lgdogf] A122518 20.0372 [1/(x^5-x^4-2*x^3+1) ogf] A122518 24.5588 [-x^2*(5*x^2-4*x-6)/(1-2*x^3-x^4+x^5) lgdogf] A122519 10.6305 [-(-1-2*x+x^8-4*x^6-6*x^5-9*x^4-2*x^3-3*x^2)/(x+1)/(x^2+1)/(x^3-x^2-1)/(x^3+x^2-1) lgdogf] A122519 12.0109 [(x+1)*(x^3-x^2-1)/(x^2+1)/(x^3+x^2-1) ogf] A122519 9.03915 [f(x)*x^5+f(x)*x^4+f(x)*x^3-x^4+x^2-f(x)+x+1 ogf] A122520 3.91202 [(f(x)+1)*(f(x)*x^5-f(x)*x^3+4*x^4-f(x)*x^2+4*x^3-f(x)*x+3*x^2-f(x)+2*x+1) ogf] A122520 6.48052 [-(1+4*x+4*x^8+13*x^6+16*x^5+8*x^7+18*x^4+20*x^3+10*x^2)/(x^5-x^3-x^2-x-1)/(4*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A122520 6.67345 [-(4*x^4+4*x^3+3*x^2+2*x+1)/(x^5-x^3-x^2-x-1) ogf] A122521 11.2461 [-(x+1)*(x^2+x+1)*(x^2-x+1)/(x^8+x^6-1) ogf] A122521 7.63952 [-(2*x+3*x^12+5*x^6+5*x^4+4*x^3+6*x^5+3*x^2+12*x^7+10*x^8+8*x^9+6*x^10+4*x^11+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^8+x^6-1) lgdogf] A122522 17.9404 [-(x+1)/(x^8+x^2-1) ogf] A122522 20.5374 [-(1+2*x+x^2+8*x^7+7*x^8)/(x+1)/(x^8+x^2-1) lgdogf] A122551 4.97444 [{(8*n^2+36*n+40)*a(n+1)-a(n+2),a(0)=2,a(1)=24} ogf] A122552 13.1156 [(x-1)*(x+1)/(2*x-1)/(x^2+x+1) ogf] A122552 15.6060 [-(-1+2*x^4-7*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+x+1) lgdogf] A122552 6.67489 [{-a(n+3)+a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A122552 6.73503 [-(f(x)-1)*(2*f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+1) ogf] A122553 13.7680 [{a(n+2)-a(n+1),a(0)=1,a(1)=3} ogf] A122553 22.0287 [-f(x)*x+f(x)-2*x-1 ogf] A122553 26.7917 [-(2*x+1)/(x-1) ogf] A122553 29.4751 [-1/4-1/4*x+1/4*(1+10*x+x^2)^(1/2) revogf] A122553 60.7924 [-3/(1+2*x)/(x-1) lgdogf] A122554 6.71801 [-(x^5-x^4-x^3-x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A122554 8.34167 [(3-3*x-x^6-5*x^5+x^7+13*x^4-6*x^2)/(x-1)/(x^2+x-1)/(x^5-x^4-x^3-x^2+1) lgdogf] A122558 14.1445 [(x-1)/(3*x^2+4*x-1) ogf] A122558 14.8563 [1/2/(-1+3*x)*(-1-4*x+(1+4*x+28*x^2)^(1/2)) revogf] A122558 17.8275 [-3*(-1-2*x+x^2)/(x-1)/(3*x^2+4*x-1) lgdogf] A122558 7.31615 [(28*f(x)-19)*(3*f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A122558 7.76224 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=1,a(1)=3} ogf] A122562 15.3082 [-2*(118-221*x+115*x^2)/(x-1)/(115*x^2-224*x+115) lgdogf] A122562 5.27706 [(637*f(x)+547672)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-115*x^2+f(x)+224*x-115) ogf] A122562 9.99125 [(115*x^2-224*x+115)/(x-1)^4 ogf] A122571 11.4385 [-(13*x-1)/(x^2-14*x+1) ogf] A122571 11.9556 [-1/2*(-1-14*x+(1-24*x+192*x^2)^(1/2))/(13+x) revogf] A122571 14.2175 [-(1-2*x+13*x^2)/(13*x-1)/(x^2-14*x+1) lgdogf] A122571 5.65904 [-(168*f(x)-167)*(f(x)*x^2-14*f(x)*x+f(x)+13*x-1) ogf] A122571 6.47722 [{a(n+2)-14*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A122572 14.7237 [(15*x+1)/(x^2+14*x+1) ogf] A122572 15.0424 [-1/2*(-1+14*x+((8*x+1)*(24*x+1))^(1/2))/(-15+x) revogf] A122572 18.6051 [-(3*x+1)*(5*x-1)/(15*x+1)/(x^2+14*x+1) lgdogf] A122572 7.60455 [-(f(x)-1)*(f(x)*x^2+14*f(x)*x+f(x)-15*x-1) ogf] A122572 8.33752 [{a(n+2)+14*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A122573 10.3523 [-(1+2*x+3*x^6+9*x^4-4*x^3+6*x^5-5*x^2)/(x+1)/(3*x^2-1)/(x^4-4*x^2+1) lgdogf] A122573 11.0489 [-(x+1)*(3*x^2-1)/(x^4-4*x^2+1) ogf] A122573 6.77529 [{a(n+4)-4*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A122573 7.72237 [f(x)*(f(x)*x^4-4*f(x)*x^2+3*x^3+3*x^2+f(x)-x-1) ogf] A122574 15.2226 [-(12*x+1)/(x^2-11*x-1) ogf] A122574 17.0635 [1/2/(12+x)*(-1+11*x+(1+26*x+125*x^2)^(1/2)) revogf] A122574 19.8305 [-(1+2*x+12*x^2)/(12*x+1)/(x^2-11*x-1) lgdogf] A122574 8.22371 [(f(x)-1)*(f(x)*x^2-11*f(x)*x-f(x)+12*x+1) ogf] A122574 8.62002 [{-a(n+2)-11*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A122575 22.1351 [-(-43+22*x+5*x^2)/(x-1)/(x^2+14*x+1) lgdogf] A122575 3.82214 [{(-3-n)*a(n+4)+(-69-13*n)*a(n+3)+(35+13*n)*a(n+2)+(5+n)*a(n+1),a(0)=0,a(1)=-1,a(2)=43,a(3)=-1215} ogf] A122575 8.62104 [x*(x-1)/(x^2+14*x+1)^3 ogf] A122576 12.8339 [-3*(-1+7*x+x^5-8*x^2+12*x^3-3*x^4)/(x-1)/(x+1)/(x^4-2*x^3+6*x^2-2*x+1) lgdogf] A122576 7.57839 [(x^4-2*x^3+6*x^2-2*x+1)/(x-1)^3/(x+1)^4 ogf] A122580 12.4501 [-(-x^2-2*x-2)/(x^3-1) ogf_with_Euler_transform] A122581 10.2097 [-(1+4*x^5+10*x^8+3*x^6+4*x^7+4*x^2+2*x^3-x^4)/(5*x^4+x^3+2*x^2+1)/(2*x^5-4*x^4+x^3-2*x^2+x-1) lgdogf] A122581 5.85706 [f(x)^2*(2*f(x)*x^5-4*f(x)*x^4+f(x)*x^3+5*x^4-2*f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)+1) ogf] A122581 9.93726 [-(5*x^4+x^3+2*x^2+1)/(2*x^5-4*x^4+x^3-2*x^2+x-1) ogf] A122582 10.2190 [-(3*x^4+x^3+2*x^2+1)/(x^5-2*x^4+x^3-2*x^2+x-1) ogf] A122582 11.8245 [-(1+2*x^7+4*x^5+3*x^8+x^6+4*x^2+2*x^3)/(x^5-2*x^4+x^3-2*x^2+x-1)/(3*x^4+x^3+2*x^2+1) lgdogf] A122582 5.72005 [(4*f(x)-3)*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3+3*x^4-2*f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)+1) ogf] A122583 5.06465 [f(x)*(3*f(x)-2)*(3*f(x)*x^5-6*f(x)*x^4+f(x)*x^3+7*x^4-2*f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)+1) ogf] A122583 9.61715 [-(7*x^4+x^3+2*x^2+1)/(3*x^5-6*x^4+x^3-2*x^2+x-1) ogf] A122583 9.71794 [-(1+4*x^5+21*x^8+5*x^6+6*x^7+4*x^2+2*x^3-2*x^4)/(3*x^5-6*x^4+x^3-2*x^2+x-1)/(7*x^4+x^3+2*x^2+1) lgdogf] A122584 5.28542 [(f(x)-2)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+2*f(x)*x-2*x^2-f(x)-x+1) ogf] A122584 9.88143 [(x+1)*(2*x-1)/(x^4-2*x^3+x^2+2*x-1) ogf] A122584 9.96766 [-(-1+2*x+3*x^2-8*x^3-x^4+4*x^5)/(2*x-1)/(x+1)/(x^4-2*x^3+x^2+2*x-1) lgdogf] A122586 6.56485 [-(x^44-x^35+x^32-x^29+x^28+x^27-x^26+x^17-x^8+x^5-x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1)/(x^18-x^9+1) ogf] A122588 13.3928 [-1/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A122589 7.19986 [-(-11+90*x-252*x^2+280*x^3-105*x^4+6*x^5)/(45*x^2+1-11*x+70*x^4-84*x^3+x^6-21*x^5) lgdogf] A122589 8.61076 [1/(x^6-21*x^5+70*x^4-84*x^3+45*x^2-11*x+1) ogf] A122595 13.5328 [-1/(x^4-x^3-x^2+3*x-1) ogf] A122595 15.8483 [-(3-2*x+4*x^3-3*x^2)/(-x^2-1+3*x+x^4-x^3) lgdogf] A122595 5.48024 [-(2*f(x)+1)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A122597 7.08210 [-(15*x^10-15*x^9+3*x^8-3*x^7+6*x^6+x^5+8*x^4+5*x^3+3*x^2+2*x+1)/(3*x^5-1) ogf] A122600 18.9129 [1/(x^3-4*x^2+3*x+1) ogf] A122600 24.3864 [-(3-8*x+3*x^2)/(-4*x^2+1+3*x+x^3) lgdogf] A122600 6.86219 [{-a(n+3)-3*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=13} ogf] A122600 7.75427 [(23*f(x)+3)*(f(x)*x^3-4*f(x)*x^2+3*f(x)*x+f(x)-1) ogf] A122602 4.04186 [(5*x^4-5*x^2+1)*(x^5-3*x^4-3*x^3+4*x^2+x-1)/(x-1)/(x^3-2*x^2-x+1)/(x^6+8*x^5+8*x^4-6*x^3-6*x^2+x+1) ogf] A122603 3.00277 [(110*x^7+2675*x^6-11417*x^5+12896*x^4-4477*x^3+650*x^2-42*x+1)/(x^8-876*x^7+11826*x^6-25954*x^5+17903*x^4-5146*x^3+691*x^2-43*x+1) ogf] A122604 5.10708 [(x^3+3*x^2-1)*(5*x^4-5*x^2+1)/(x^9-5*x^8-10*x^7+20*x^6+15*x^5-21*x^4-7*x^3+8*x^2+x-1) ogf] A122605 6.20209 [-(2*x-1)*(2*x^2-1)*(x^3+2*x^2-x-1)/(x-1)/(x^2+x-1)/(x^4-4*x^3-4*x^2+x+1) ogf] A122605 7.73073 [-x^6*(12*x^5-20*x^3+6*x+30*x^2-7+4*x^6-30*x^4)/(x-1)/(2*x-1)/(x^2+x-1)/(x^3+2*x^2-x-1)/(x^4-4*x^3-4*x^2+x+1)/(2*x^2-1) lgdogf] A122607 6.77476 [-(-1-48*x^5-36*x^8+49*x^6-10*x^2+8*x^10-2*x^3-15*x^4-90*x^7+10*x^9)/(8*x^5+5*x^4-x^3-5*x^2-1)/(x^6+3*x^5+6*x^4+4*x^3-5*x^2+x-1) lgdogf] A122607 7.85563 [(8*x^5+5*x^4-x^3-5*x^2-1)/(x^6+3*x^5+6*x^4+4*x^3-5*x^2+x-1) ogf] A122608 5.09355 [f(x)*(f(x)*x^5-3*f(x)*x^4-3*f(x)*x^3+2*x^4+4*f(x)*x^2-x^3+f(x)*x-4*x^2-f(x)+1) ogf] A122608 8.64187 [-(x+1)*(2*x-1)*(x^2-x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A122608 8.79022 [-(1+8*x^5-8*x^2-3*x^6-2*x^7+2*x^8-2*x^3+15*x^4)/(2*x-1)/(x+1)/(x^2-x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) lgdogf] A122611 8.00869 [-(-7+30*x-18*x^2-44*x^3+30*x^4+6*x^5)/(15*x^2+1-7*x-11*x^4-6*x^3+x^6+6*x^5) lgdogf] A122611 9.15469 [1/(x^6+6*x^5-11*x^4-6*x^3+15*x^2-7*x+1) ogf] A122618 6.16759 [-(10*x^19+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A122620 6.23832 [-(9*x^19+2*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A122638 5.46166 [-(x^20-x^19+11*x^18-2*x^10+2*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A122649 3.73340 [{(4*n^2+18*n+20)*a(n+1)+(-4*n-11)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A122649 4.20007 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x-8*f(x)*x^2-f(x)^2+8*f(x)*x-2*f(x)+2*x egf] A122650 10.8743 [{-a(n+2)+a(n+1)+a(n),a(0)=28657,a(1)=46368} ogf] A122650 18.4658 [-(17711*x+28657)/(x^2+x-1) ogf] A122650 8.97877 [-(51841*f(x)-410611825)*(f(x)*x^2+f(x)*x-f(x)+17711*x+28657) ogf] A122652 11.8736 [-f(x)*x^2+10*f(x)*x-f(x)+4*x ogf] A122652 17.1533 [-(-5*x-2+2*(1+2*x)^(1/2)*(1+3*x)^(1/2))/x revogf] A122652 18.7478 [4*x/(x^2-10*x+1) ogf] A122652 31.9675 [-2*(-5+x)/(x^2+1-10*x) lgdogf] A122652 8.68802 [{a(n+2)-10*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A122653 11.8736 [-f(x)*x^2+10*f(x)*x-f(x)+6*x ogf] A122653 14.9635 [-(-5*x-3+(1+2*x)^(1/2)*(3+4*x)^(1/2)*3^(1/2))/x revogf] A122653 18.7478 [6*x/(x^2-10*x+1) ogf] A122653 31.9675 [-2*(-5+x)/(x^2+1-10*x) lgdogf] A122653 8.68802 [{a(n+2)-10*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A122656 12.1145 [-(3+29*x+5*x^4+40*x^3+3*x^5+16*x^2)/(x-1)/(x+1)/(x^4+x^3+7*x^2+x+2) lgdogf] A122656 7.00281 [x^2*(x^4+x^3+7*x^2+x+2)/(x+1)^3/(x-1)^4 ogf] A122657 4.79014 [2*x^2*(4*x^6+19*x^5+62*x^4+70*x^3+62*x^2+19*x+4)/(x+1)^4/(x-1)^6 ogf] A122657 7.01631 [-(27+202*x+103*x^6+434*x^5+709*x^4+884*x^3+16*x^7+505*x^2)/(x-1)/(x+1)/(4*x^6+19*x^5+62*x^4+70*x^3+62*x^2+19*x+4) lgdogf] A122658 3.98251 [2*x^2*(x^8+7*x^7+95*x^6+113*x^5+379*x^4+149*x^3+189*x^2+19*x+8)/(x+1)^5/(x-1)^6 ogf] A122678 12.8068 [-(x+1)^2/(x^2-3*x+1)/(x-1) ogf] A122678 6.79315 [(173*f(x)-128)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)+2*x+1) ogf] A122678 6.91340 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=21} ogf] A122679 12.8611 [-5*x*(x+1)/(x^2-3*x+1)/(x-1) ogf] A122679 6.54539 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=25} ogf] A122679 6.85126 [(f(x)+1)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+5*x^2-f(x)+5*x) ogf] A122685 14.4999 [-(x^4-2*x^2+x+1)/(x-1)/(x+1) egf] A122685 16.5481 [(-1+2*x+2*x^5-x^2-4*x^3)/(x-1)/(x+1)/(x^4-2*x^2+x+1) lgdegf] A122685 7.72422 [{-a(n+5)+a(n+3),a(0)=1,a(1)=1,a(2)=-1,a(3)=1,a(4)=0} egf] A122685 9.4999 [-(f(x)-5)*(x^4+f(x)*x^2-2*x^2-f(x)+x+1) egf] A122690 12.8546 [(x-1)/(4*x^2+5*x-1) ogf] A122690 13.4829 [1/2/(-1+4*x)*(-1-5*x+(1+6*x+41*x^2)^(1/2)) revogf] A122690 16.1794 [-4*(-1-2*x+x^2)/(x-1)/(4*x^2+5*x-1) lgdogf] A122690 6.8054 [(5*f(x)-3)*(4*f(x)*x^2+5*f(x)*x-f(x)-x+1) ogf] A122690 7.05438 [{-a(n+2)+5*a(n+1)+4*a(n),a(0)=1,a(1)=4} ogf] A122693 3.11724 [{(n^3+8*n^2+21*n+18)*a(n+1)+(-3*n^3-36*n^2-142*n-185)*a(n+2)+(-14-4*n)*a(n+3)+(9+3*n)*a(n+4),a(0)=0,a(1)=2,a(2)=4,a(3)=32} ogf] A122694 5.66209 [x*(341*x^5+79*x^4+341*x^3-1463*x^2-237*x-583)/(x-1)/(x^6-6*x^3+1) ogf] A122695 10.8716 [-x^2*(x^2-x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A122695 5.28479 [{a(n+5)-6*a(n+4)+11*a(n+3)-6*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=5,a(4)=20} ogf] A122695 6.03975 [-(76*f(x)-75)*(6*f(x)*x^3+x^4-11*f(x)*x^2-x^3+6*f(x)*x+x^2-f(x)) ogf] A122695 7.91990 [-(5-20*x+6*x^4-12*x^3+23*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(x^2-x+1) lgdogf] A122709 15.8025 [(2*x+1)^2/(x-1)^2 ogf] A122709 51.3439 [-6/(2*x+1)/(x-1) lgdogf] A122709 8.13138 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=15} ogf] A122709 8.54625 [-(7*f(x)-23)*(f(x)*x^2-2*f(x)*x-4*x^2+f(x)-4*x-1) ogf] A122733 3.82587 [(128*x^6+96*x^5+72*x^4+4*x^3+76*x^2-48*x-9)/(2*x-1) ogf] A122737 13.9654 [-f(x)^2*x-6*f(x)*x+2*f(x)-4*x ogf] A122737 54.2715 [2*x/(4+6*x+x^2) revogf] A122737 6.80959 [{-5*a(n)*n+(6*n+9)*a(n+1)+(-n-3)*a(n+2),a(0)=0,a(1)=2} ogf] A122746 20.8846 [1/(2*x^2-1)/(2*x-1) ogf] A122746 21.6784 [-2*(-1-2*x+6*x^2)/(2*x-1)/(2*x^2-1) lgdogf] A122746 6.89937 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A122746 7.80534 [(f(x)+2)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A122747 7.22146 [{(16*n^2+48*n+36)*a(n+1)-a(n+2),a(0)=1,a(1)=4} ogf] A122751 6.34890 [-(x^4-x^3+3*x^2-x+1)/(x+1)^2/(x^2+1)/(x-1)^5 ogf] A122751 9.26867 [-(2+5*x^7-x^4+22*x^3-3*x^6+23*x^5+8*x+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+3*x^2-x+1) lgdogf] A122752 3.76559 [{a(n)*n+(n+1)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A122756 14.3581 [-(2*x^2+2*x+1)/(2*x-1)/(2*x+1) ogf] A122756 14.9931 [-2*(1+6*x+4*x^2)/(1+2*x)/(2*x-1)/(2*x^2+2*x+1) lgdogf] A122756 8.37554 [{-a(n+3)+4*a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A122756 9.13694 [(39*f(x)-31)*(4*f(x)*x^2+2*x^2-f(x)+2*x+1) ogf] A122762 5.97857 [(4*x^9+4*x^8+3*x^7+2*x^6+2*x^5+x^4-x-1)/(x^10+x^8+x^7+x^5+x^4+x^2-1) ogf] A122767 10.9126 [2*x/(300*x^3-120*x^2-6*x+1) ogf] A122767 11.6899 [-6*(-1-40*x+150*x^2)/(-120*x^2+1-6*x+300*x^3) lgdogf] A122767 4.60964 [{-a(n+3)+6*a(n+2)+120*a(n+1)-300*a(n),a(0)=0,a(1)=2,a(2)=12} ogf] A122767 4.90568 [-(115*f(x)+8)*(300*f(x)*x^3-120*f(x)*x^2-6*f(x)*x+f(x)-2*x) ogf] A122769 11.3328 [-(3*x-1)/(x^2-14*x+1) ogf] A122769 11.8599 [-1/2*(-1-14*x+(1+16*x+192*x^2)^(1/2))/(3+x) revogf] A122769 14.1660 [-(11-2*x+3*x^2)/(3*x-1)/(x^2-14*x+1) lgdogf] A122769 5.6055 [-(152*f(x)-31)*(f(x)*x^2-14*f(x)*x+f(x)+3*x-1) ogf] A122769 6.20608 [{a(n+2)-14*a(n+1)+a(n),a(0)=1,a(1)=11} ogf] A122770 10.0608 [-2*(-22+45*x+x^3-12*x^2)/(x-1)/(x-3)/(x^2-14*x+1) lgdogf] A122770 10.9793 [2*x*(x-3)/(x-1)/(x^2-14*x+1) ogf] A122770 5.68225 [-(22*f(x)+9)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-2*x^2-f(x)+6*x) ogf] A122770 5.68225 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=0,a(1)=6,a(2)=88} ogf] A122788 14.3401 [x*(x-1)/(2*x^3-2*x^2+2*x-1) ogf] A122788 16.4853 [-(-1+4*x+4*x^3-8*x^2)/(x-1)/(2*x^3-2*x^2+2*x-1) lgdogf] A122788 7.36383 [-(f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x-x^2-f(x)+x) ogf] A122788 7.36383 [{-a(n+3)+2*a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A122789 16.5204 [x*(x-1)*(x+1)/(x^4+x-1) ogf] A122789 17.1406 [-(-1-4*x^3+2*x^5+2*x-x^2)/(x-1)/(x+1)/(x^4+x-1) lgdogf] A122789 9.52351 [-f(x)*(f(x)*x^4-x^3+f(x)*x-f(x)+x) ogf] A122792 13.6949 [-(-x^2-1)/(-x^4-x^3+x+1) ogf_with_Euler_transform] A122803 16.1358 [{-a(n+1)-2*a(n),a(0)=1} ogf] A122803 20.4649 [2*f(x)*x+f(x)-1 ogf] A122803 33.5625 [1/(2*x+1) ogf] A122803 63.2344 [-1/2*ln(1-2*x) revegf] A122803 88.5282 [-2/(2*x+1) lgdogf] A122822 15.2298 [x^2*(2*x-1)/(3*x^4-x^3-2*x+1) ogf] A122822 20.3595 [-x^2*(3-16*x+18*x^2)/(2*x-1)/(3*x^4-x^3-2*x+1) lgdogf] A122822 7.67782 [{a(n+4)-2*a(n+3)-a(n+1)+3*a(n),a(0)=0,a(1)=0,a(2)=-1,a(3)=0} ogf] A122822 9.01958 [f(x)*(3*f(x)*x^4-f(x)*x^3-2*x^3-2*f(x)*x+x^2+f(x)) ogf] A122831 8.72913 [-(3*x^7-3*x^6-x^5-3*x^4+3*x^3+x^2+3*x-3)/(x^9+1) ogf_with_Euler_transform] A122840 21.6151 [10*x^9*(3*x^35-1)*(3*x^35+1)/(-1+x^10+9*x^70) lgdogf] A122841 6.68672 [-x^5*(2*x^30+x^24+x^18+x^12+x^6+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1) ogf] A122854 13.4316 [-(6*x^2-2*x+8)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A122854 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A122856 4.70394 [-(-2*x^10-2*x^8-2*x^7-2*x^6-2*x^4-2)/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A122856 99.9999 Evaluated at exp(-Pi) -1/3*exp(2/3*Pi)*Pi^(3/2)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^4 A122859 10.8613 [-(-2*x^5-6*x^4-3*x^3-4*x^2-3*x-6)/(x^6-1) ogf_with_Euler_transform] A122861 11.3754 [-(-2*x^3-x^2+2*x-3)/(x^4-x^3+x-1) ogf_with_Euler_transform] A122865 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/3*Pi)*Pi^(1/2)/GAMMA(3/4)^8*GAMMA(11/12)^3*GAMMA(7/12)^3 A122868 11.248 [-3*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A122868 23.0127 [-3*(x+1)/(3*x^2-1+6*x) lgdogf] A122868 3.40961 [{(n+3)*a(n+3)+(-15-6*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=1,a(1)=3,a(2)=15} ogf] A122871 10.3099 [-3*f(x)^2*x^2-2*f(x)*x+f(x)-1 ogf] A122871 39.7162 [x/(1+2*x+3*x^2) revogf] A122871 4.00188 [{(8*n+16)*a(n+1)+(4*n+14)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A122874 13.0587 [-(14*x^2+20*x+7)/(x-1)/(x+1)^2 ogf] A122874 17.2966 [-(13+29*x+14*x^3+26*x^2)/(x-1)/(x+1)/(14*x^2+20*x+7) lgdogf] A122874 6.85581 [(7985*f(x)+36657)*(f(x)*x^3+f(x)*x^2-f(x)*x+14*x^2-f(x)+20*x+7) ogf] A122874 7.28050 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=7,a(1)=13,a(2)=8} ogf] A122876 10.4997 [-f(x)*x^2+f(x)*x+2*x^2-f(x)+1 ogf] A122876 14.3568 [(2*x^2+1)/(x^2-x+1) ogf] A122876 24.4689 [-(-1-2*x+2*x^2)/(x^2-x+1)/(2*x^2+1) lgdogf] A122876 6.89687 [{-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2} ogf] A122877 3.25504 [{(7*n^2+35*n+42)*a(n+1)+(2*n^2+13*n+21)*a(n+2)+(-n^2-8*n-12)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A122877 7.52464 [-4*f(x)^2*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A122878 8.46822 [-(23*x^14-10*x^11+22*x^7+x^4+12)/(x-1)/(x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A122879 8.54026 [-x^4*(2*x^10-x^7+x^3+1)/(x-1)/(x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A122883 11.9244 [-(3+22*x-17*x^2+4*x^3)/(x-1)/(2*x+1)/(x^2-6*x+1) lgdogf] A122883 13.1807 [-(x-1)/(2*x+1)/(x^2-6*x+1) ogf] A122883 6.24347 [{-a(n+3)+4*a(n+2)+11*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=23} ogf] A122883 6.24348 [-(19711*f(x)-431)*(2*f(x)*x^3-11*f(x)*x^2-4*f(x)*x+f(x)+x-1) ogf] A122884 11.1069 [(3*x+1)/(2*x+1)/(x^2-6*x+1) ogf] A122884 11.2999 [-(-7-22*x-27*x^2+12*x^3)/(2*x+1)/(3*x+1)/(x^2+1-6*x) lgdogf] A122884 5.26114 [{-a(n+3)+4*a(n+2)+11*a(n+1)-2*a(n),a(0)=1,a(1)=7,a(2)=39} ogf] A122884 5.50249 [(7319*f(x)+697)*(2*f(x)*x^3-11*f(x)*x^2-4*f(x)*x+f(x)-3*x-1) ogf] A122885 4.55549 [(140167*f(x)+12950)*(2*f(x)*x^3-11*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-9*x-1) ogf] A122885 4.79317 [{a(n+3)-4*a(n+2)-11*a(n+1)+2*a(n),a(0)=1,a(1)=13,a(2)=61} ogf] A122885 8.29587 [-(13+18*x-36*x^3+4*x^4+101*x^2)/(1+2*x)/(x^2+1-6*x)/(2*x^2-9*x-1) lgdogf] A122885 8.89055 [-(2*x^2-9*x-1)/(2*x+1)/(x^2-6*x+1) ogf] A122886 6.25425 [-x^2*(x-1)*(2*x^5-x^4+3*x^2+2*x+1)/(2*x^3+1)/(x^6-6*x^3+1) ogf] A122898 29.1404 [x*(1+x)/(1+7*x+7*x^2) revogf] A122898 4.02663 [{(-21*n-42)*a(n+1)+(10*n+32)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=6,a(2)=37} ogf] A122898 5.94125 [-1/2*(7*x-1+14*(7*x-1)^(1/2)*(3*x-1)^(1/2)*x-(7*x-1)^(1/2)*(3*x-1)^(1/2))/(7*x-1)^(3/2)/(3*x-1)^(1/2)/x lgdogf] A122898 8.10555 [7*f(x)^2*x^2-f(x)^2*x+7*f(x)*x-f(x)+1 ogf] A122904 7.88407 [(7+9*x-5*x^6+3*x^4+3*x^3+3*x^5+11*x^2-9*x^7-4*x^8+2*x^9+4*x^10)/(x-1)/(x^8+x^7-x^6-x^5+4*x^3-x^2-2*x-5)/(x^2+x+1) lgdogf] A122904 8.98961 [-(x^8+x^7-x^6-x^5+4*x^3-x^2-2*x-5)/(x^2+x+1)/(x-1)^2 ogf] A122909 4.11795 [-(102925*f(x)-19443)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-x^3-3*f(x)*x-x^2+f(x)-x-1) ogf] A122909 7.96249 [-(-4-14*x+3*x^2+16*x^3+12*x^4+2*x^5+x^6)/(x+1)/(x^2+1)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A122909 8.02197 [(x+1)*(x^2+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A122910 4.69099 [-(25333272*f(x)+814813)*(64*f(x)*x^3-24*f(x)*x^2-6*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A122910 5.26206 [{a(n+3)-6*a(n+2)-24*a(n+1)+64*a(n),a(0)=1,a(1)=4,a(2)=45} ogf] A122910 8.23826 [-2*(2+21*x+96*x^4+128*x^3-111*x^2)/(3*x-1)/(2*x-1)/(8*x-1)/(4*x+1)/(x+1) lgdogf] A122910 9.60535 [-(x+1)*(3*x-1)/(4*x+1)/(8*x-1)/(2*x-1) ogf] A122911 2.87941 [-(860098539691881792*f(x)-11673910175602231)*(1024*f(x)*x^4+320*f(x)*x^3-120*f(x)*x^2+25*x^3-10*f(x)*x+31*x^2+f(x)+5*x-1) ogf] A122911 6.08977 [-(x+1)*(25*x^2+6*x-1)/(16*x-1)/(2*x+1)/(8*x+1)/(4*x-1) ogf] A122918 24.1521 [[2*x^2-2*x] ogf_with_Euler_transform] A122918 25.8133 [-2*x*(x+2)/(x+1)/(x^2+x+1) lgdogf] A122918 4.5258 [-(5*f(x)+11)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2+f(x)-2*x-1) ogf] A122918 8.78925 [(x+1)^2/(x^2+x+1)^2 ogf] A122920 4.78905 [{(4*n^2+30*n+56)*a(n+1)+(7*n^2+51*n+94)*a(n+2)+(-2*n^2-18*n-36)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A122920 8.05633 [-f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)*x^3-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A122931 9.85172 [(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A122931 9.94687 [-2*(-1-x-4*x^4-3*x^3+2*x^5+8*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A122946 11.4747 [4*f(x)*x^3+f(x)*x+2*x^2-f(x) ogf] A122946 19.5379 [-2*x^2/(2*x-1)/(2*x^2+x+1) ogf] A122946 23.0920 [-(1+12*x^2)/(2*x-1)/(2*x^2+x+1) lgdogf] A122946 7.85765 [{a(n+3)-a(n+2)-4*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A122948 4.98698 [(6*f(x)^2+2*f(x)+3)*(f(x)*x^5+2*f(x)*x^4-5*f(x)*x^3-2*f(x)*x^2-2*x^3+4*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A122948 8.47751 [-(1-10*x-8*x^5+4*x^7-17*x^6+39*x^2-74*x^3+64*x^4)/(2*x-1)/(x^2-3*x+1)/(x^5+2*x^4-5*x^3-2*x^2+4*x-1) lgdogf] A122948 9.91529 [(2*x-1)*(x^2-3*x+1)/(x^5+2*x^4-5*x^3-2*x^2+4*x-1) ogf] A122951 20.0918 [x*(1+x^2-3*x)/(x^2+1)/(-1+x)^2 revogf] A122958 12.5551 [-(x^2+2*x-1)/(2*x-1)/(x-1) ogf] A122958 6.58834 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=0} ogf] A122958 6.72143 [-(11*f(x)-14)*(2*f(x)*x^2-3*f(x)*x+x^2+f(x)+2*x-1) ogf] A122959 13.3923 [-(x^2-2*x-1)/(x+1)/(2*x+1) ogf] A122959 7.02764 [{-a(n+3)-3*a(n+2)-2*a(n+1),a(0)=1,a(1)=-1,a(2)=0} ogf] A122959 7.47148 [(11*f(x)-14)*(2*f(x)*x^2+3*f(x)*x+x^2+f(x)-2*x-1) ogf] A122973 13.8889 [-(14*x^2-7*x-1)/(4*x-1)/(x-1) ogf] A122973 16.0244 [-6*(2-6*x+7*x^2)/(x-1)/(-1+4*x)/(14*x^2-7*x-1) lgdogf] A122973 7.21153 [{a(n+3)-5*a(n+2)+4*a(n+1),a(0)=1,a(1)=12,a(2)=42} ogf] A122973 7.49998 [-(33*f(x)+95)*(4*f(x)*x^2-5*f(x)*x+14*x^2+f(x)-7*x-1) ogf] A122983 10.5899 [-(x^2+2*x-1)/(x-1)/(3*x-1)/(x+1) ogf] A122983 11.5055 [-(1-8*x^2+12*x^3+3*x^4)/(x-1)/(3*x-1)/(x+1)/(x^2+2*x-1) lgdogf] A122983 5.61725 [-(2*f(x)+1)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)+2*x-1) ogf] A122983 5.76772 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A122994 17.2848 [-(2*x+1)/(9*x^2+x-1) ogf] A122994 19.1159 [1/2/(2+9*x)*(-1-x+(1+10*x+37*x^2)^(1/2)) revogf] A122994 21.2399 [-3*(1+6*x+6*x^2)/(1+2*x)/(9*x^2+x-1) lgdogf] A122994 8.94043 [(25*f(x)-16)*(9*f(x)*x^2+f(x)*x-f(x)+2*x+1) ogf] A122994 9.48559 [{-a(n+2)+a(n+1)+9*a(n),a(0)=1,a(1)=3} ogf] A122995 13.4829 [1/2/(4+25*x)*(-1-x+(1+18*x+101*x^2)^(1/2)) revogf] A122995 14.5200 [-5*(1+10*x+20*x^2)/(4*x+1)/(25*x^2+x-1) lgdogf] A122995 16.8575 [-(4*x+1)/(25*x^2+x-1) ogf] A122995 8.81188 [(61*f(x)-36)*(25*f(x)*x^2+f(x)*x-f(x)+4*x+1) ogf] A122995 9.34270 [{-a(n+2)+a(n+1)+25*a(n),a(0)=1,a(1)=5} ogf] A122996 12.9598 [-(6*x+1)/(49*x^2+x-1) ogf] A122996 13.9087 [1/2/(6+49*x)*(-1-x+(1+26*x+197*x^2)^(1/2)) revogf] A122996 14.9787 [-7*(1+14*x+42*x^2)/(6*x+1)/(49*x^2+x-1) lgdogf] A122996 6.69832 [(113*f(x)-64)*(49*f(x)*x^2+f(x)*x-f(x)+6*x+1) ogf] A122996 7.18253 [{-a(n+2)+a(n+1)+49*a(n),a(0)=1,a(1)=7} ogf] A122997 10.7475 [-(-1+4*x-4*x^7-8*x^5+x^8-6*x^2+8*x^3-x^4)/(x^4-2*x^3+x^2-2*x+1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A122997 5.6501 [(f(x)-3)*(f(x)*x^5+f(x)*x^4+f(x)*x^3+x^4+f(x)*x^2-2*x^3+f(x)*x+x^2-f(x)-2*x+1) ogf] A122997 9.90285 [-(x^4-2*x^3+x^2-2*x+1)/(x^5+x^4+x^3+x^2+x-1) ogf] A122999 15.7445 [1/50/x*(-1-x+(1+2*x+101*x^2)^(1/2)) revogf] A122999 16.5658 [-1/(25*x^2+x-1) ogf] A122999 25.0481 [-(1+50*x)/(25*x^2-1+x) lgdogf] A122999 6.54926 [(701*f(x)-700)*(25*f(x)*x^2+f(x)*x-f(x)+1) ogf] A122999 6.78598 [{-a(n+2)+a(n+1)+25*a(n),a(0)=1,a(1)=1} ogf] A123003 7.42616 [-(-75+799*x+2304*x^5-6216*x^4+6508*x^3-3284*x^2)/(x-1)/(3*x-1)/(2*x-1)/(-1+4*x)/(24*x^2-29*x+8) lgdogf] A123003 7.47945 [(24*x^2-29*x+8)/(4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A123004 15.9433 [-x/(25*x^2+2*x-1) ogf] A123004 16.1235 [1/50/x*(-1-2*x+(1+4*x+104*x^2)^(1/2)) revogf] A123004 22.9450 [-2*(1+25*x)/(25*x^2-1+2*x) lgdogf] A123004 7.38834 [{-a(n+2)+2*a(n+1)+25*a(n),a(0)=0,a(1)=1} ogf] A123004 7.38835 [(2*f(x)+1)*(25*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A123005 10.3006 [-49*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A123005 16.2642 [-x/(49*x^2+2*x-1) ogf] A123005 16.4569 [1/98/x*(-1-2*x+(1+4*x+200*x^2)^(1/2)) revogf] A123005 23.4194 [-2*(1+49*x)/(49*x^2-1+2*x) lgdogf] A123005 7.53705 [{-a(n+2)+2*a(n+1)+49*a(n),a(0)=0,a(1)=1} ogf] A123006 14.4957 [-x/(121*x^2+2*x-1) ogf] A123006 14.6447 [1/242/x*(-1-2*x+(1+4*x+488*x^2)^(1/2)) revogf] A123006 19.8750 [-2*(1+121*x)/(121*x^2-1+2*x) lgdogf] A123006 6.81123 [{-a(n+2)+2*a(n+1)+121*a(n),a(0)=0,a(1)=1} ogf] A123006 9.26774 [-121*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A123007 13.4478 [-(x+1)/(9*x^2+2*x-1) ogf] A123007 14.4538 [1/2/(1+9*x)*(-1-2*x+(1+8*x+40*x^2)^(1/2)) revogf] A123007 16.4613 [-3*(1+6*x+3*x^2)/(x+1)/(9*x^2+2*x-1) lgdogf] A123007 6.95575 [(34*f(x)-25)*(9*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A123007 7.37988 [{-a(n+2)+2*a(n+1)+9*a(n),a(0)=1,a(1)=3} ogf] A123008 13.1708 [-(3*x+1)/(25*x^2+2*x-1) ogf] A123008 13.4928 [1/2/(3+25*x)*(-1-2*x+(1+16*x+104*x^2)^(1/2)) revogf] A123008 14.4800 [-5*(1+10*x+15*x^2)/(3*x+1)/(25*x^2+2*x-1) lgdogf] A123008 6.88477 [(74*f(x)-49)*(25*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A123008 7.29951 [{-a(n+2)+2*a(n+1)+25*a(n),a(0)=1,a(1)=5} ogf] A123009 13.3505 [-(5*x+1)/(49*x^2+2*x-1) ogf] A123009 13.6850 [1/2/(5+49*x)*(-1-2*x+(1+24*x+200*x^2)^(1/2)) revogf] A123009 14.6864 [-7*(1+14*x+35*x^2)/(5*x+1)/(49*x^2-1+2*x) lgdogf] A123009 6.90028 [(130*f(x)-81)*(49*f(x)*x^2+2*f(x)*x-f(x)+5*x+1) ogf] A123009 7.39910 [{-a(n+2)+2*a(n+1)+49*a(n),a(0)=1,a(1)=7} ogf] A123010 11.5954 [(x^2+4*x-1)/(x+1)/(5*x-1) ogf] A123010 15.5167 [-8*(-1+2*x)*x/(5*x-1)/(x+1)/(x^2+4*x-1) lgdogf] A123010 6.08471 [{-a(n+3)+4*a(n+2)+5*a(n+1),a(0)=1,a(1)=0,a(2)=4} ogf] A123010 8.65573 [5*f(x)*x^2+4*f(x)*x-x^2-f(x)-4*x+1 ogf] A123011 13.4184 [-(3*x+1)/(5*x^2+2*x-1) ogf] A123011 14.0742 [1/2/(5*x+3)*(-1-2*x+(1+16*x+24*x^2)^(1/2)) revogf] A123011 15.5557 [-5*(1+2*x+3*x^2)/(3*x+1)/(5*x^2+2*x-1) lgdogf] A123011 6.6355 [-(14*f(x)+11)*(5*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A123011 7.36378 [{a(n+2)-2*a(n+1)-5*a(n),a(0)=1,a(1)=5} ogf] A123012 21.0987 [1/42/x*(-1-2*x+(1+4*x+88*x^2)^(1/2)) revogf] A123012 22.7137 [-1/(21*x^2+2*x-1) ogf] A123012 29.2136 [-2*(1+21*x)/(21*x^2-1+2*x) lgdogf] A123012 8.77576 [-(23*f(x)-21)*(21*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A123012 9.30441 [{-a(n+2)+2*a(n+1)+21*a(n),a(0)=1,a(1)=2} ogf] A123013 7.03615 [(253*x^4+1288*x^3+506*x^2+1)/(x^6+759*x^4+2576*x^3+759*x^2+1) ogf] A123014 18.6710 [-(1+x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdegf] A123015 12.5584 [-(-2-2*x+3*x^6+4*x^5+4*x^4-2*x^3-2*x^2)/(x-1)/(x^2+x+1)/(x^4+x^3-1) lgdogf] A123015 14.0515 [(x^2+x+1)/(x-1)/(x^4+x^3-1) ogf] A123016 14.0540 [(2*x^2-3*x-1)/(4*x+1)/(2*x-1) ogf] A123016 7.30255 [{-a(n+3)-2*a(n+2)+8*a(n+1),a(0)=1,a(1)=1,a(2)=4} ogf] A123016 7.84062 [(-17+18*f(x))*(8*f(x)*x^2-2*f(x)*x-2*x^2-f(x)+3*x+1) ogf] A123020 10.5221 [-(5*x^2-5*x+1)/(2*x-1)/(x^2-4*x+1) ogf] A123020 5.73077 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A123020 5.78239 [(5*f(x)-3)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A123020 9.82521 [-(1-8*x+21*x^2-20*x^3+10*x^4)/(-1+2*x)/(1-4*x+x^2)/(5*x^2-5*x+1) lgdogf] A123024 5.23023 [{(-n-2)*a(n+1)+a(n+4)-a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=2} ogf] A123026 3.30134 [{(n^3+6*n^2+10*n+4)*a(n+1)+(n^3+10*n^2+31*n+28)*a(n+2)+(-2-n)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=-1,a(3)=2} ogf] A123050 4.80321 [-(x^16+x^15+2*x^14-x^13-x^11-2*x^10-x^9+x^7+x^5+x^3+2*x^2+x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A123056 3.65307 [(1156897*f(x)-12892)*(f(x)*x^4-40*f(x)*x^3+206*f(x)*x^2-4*x^3-40*f(x)*x+52*x^2+f(x)-4*x) ogf] A123056 6.93147 [4*x*(x^2-13*x+1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A123057 4.25933 [(1156897*f(x)-25784)*(f(x)*x^4-40*f(x)*x^3+206*f(x)*x^2-8*x^3-40*f(x)*x+104*x^2+f(x)-8*x) ogf] A123057 8.03340 [8*x*(x^2-13*x+1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A123068 15.8796 [-x*(x^31-x^30-1)/(x-1)^2 ogf] A123068 19.6584 [(2+30*x^29-59*x^30+29*x^31)/(x-1)/(x^31-x^30-1) lgdogf] A123072 4.26723 [{(32*n^3+32*n^2+8*n)*a(n)+(-16*n^3-80*n^2-134*n-72)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=2} ogf] A123102 13.0129 [(x-1)/(3*x^3+x^2+x-1) ogf] A123102 16.5679 [-2*x*(-1+3*x^2-4*x)/(x-1)/(3*x^3+x^2+x-1) lgdogf] A123102 6.21335 [{a(n+3)-a(n+2)-a(n+1)-3*a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A123102 8.51459 [-3*f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-1 ogf] A123108 14.9091 [(x^3-x+1)/(x+1)/(x-1)^2 ogf] A123108 26.3665 [-x*(x^2+2+x)/(x-1)/(x+1)/(x^3-x+1) lgdogf] A123108 6.94239 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A123108 8.49957 [-f(x)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x+f(x)+x-1) ogf] A123109 12.4177 [(3*x^2-x+1)/(3*x-1)/(x-1) ogf] A123109 16.5411 [-3*(-1+3*x^2)/(x-1)/(3*x-1)/(3*x^2-x+1) lgdogf] A123109 6.38967 [{-a(n+3)+4*a(n+2)-3*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A123109 9.26951 [-3*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-x+1 ogf] A123111 4.13746 [-(x^7-9*x^6-127*x^5-1227*x^4-2317*x^3-1223*x^2-133*x-5)/(x-1)^8 ogf] A123115 3.51557 [-(4627588*f(x)+341839)*(f(x)*x^4-40*f(x)*x^3+206*f(x)*x^2-2*x^3-40*f(x)*x-16*x^2+f(x)-2*x) ogf] A123115 6.89592 [2*x*(x^2+8*x+1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A123116 4.14797 [-(2313794*f(x)+341839)*(f(x)*x^4-40*f(x)*x^3+206*f(x)*x^2-4*x^3-40*f(x)*x-32*x^2+f(x)-4*x) ogf] A123116 8.13640 [4*x*(x^2+8*x+1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A123121 15.8413 [(x+1)*(x^2-x+1)*(x^6-x^3+1)/(2*x-1)/(x-1) ogf] A123121 9.61517 [(3-4*x+14*x^10-24*x^9+9*x^8)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) lgdogf] A123122 7.74505 [(7+11*x^10-x-5*x^4+10*x^12-21*x^11+6*x^8-8*x^7-4*x^6+x^3+9*x^5-3*x^2)/(x-1)/(x^12-x^11+x^8-x^6+x^5+x^3-x^2+3*x-5) lgdogf] A123122 8.29847 [-x*(x^12-x^11+x^8-x^6+x^5+x^3-x^2+3*x-5)/(x-1)^2 ogf] A123126 4.55035 [-(10*x^9+9*x^8+16*x^7+21*x^6+18*x^5-30*x^4+4*x^3-3*x^2-1)/(x^10+x^9+2*x^8+3*x^7+3*x^6-6*x^5+x^4-x^3-x+1) ogf] A123127 5.24175 [-(10*x^9-9*x^8-7*x^6+6*x^5-30*x^4+12*x^3+9*x^2+4*x+1)/(x^10-x^9-x^7+x^6-6*x^5+3*x^4+3*x^3+2*x^2+x+1) ogf] A123130 12.7810 [-(48*x-7+2*(1-6*x)^(1/2))/(8*x-1)/(6*x-1) lgdegf] A123130 16.9039 [1/8-3/8*exp(-4*x)+1/4*exp(-2*x) revegf] A123130 5.69266 [-48*f(x)^2*x^2+14*f(x)^2*x-f(x)^2-24*f(x)*x+4*f(x)-3 egf] A123138 12.2560 [-ln(777156)+ln(513642+x+(69439628196+x^2+1027284*x)^(1/2)) revegf] A123138 13.1639 [-(85607+87838*x+85607*x^2)/(x-1)/(85607*x+43919)/(x+1) lgdogf] A123138 14.2050 [-6*(85607*x+43919)/(x-1)/(x+1) ogf] A123138 7.96104 [(43919*f(x)+10412403981)*(f(x)*x^2-f(x)+513642*x+263514) ogf] A123138 9.78995 [{a(n+2)-a(n),a(0)=263514,a(1)=513642} ogf] A123151 3.96324 [{(n^2+9*n+22)*a(n+1)+(-2*n^3-18*n^2-52*n-48)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=7/6} egf] A123164 7.29415 [-f(x)^2*x^2+6*f(x)^2*x+f(x)*x^2-f(x)^2-6*f(x)*x+f(x)+2*x ogf] A123166 10.4080 [-(2-10*x+17*x^2)/(-1+x)/(4*x-1)/(x^2+3*x-1) lgdogf] A123166 13.1372 [4*f(x)*x^2-5*f(x)*x+x^2+f(x)+3*x-1 ogf] A123166 4.50709 [{a(n+3)-5*a(n+2)+4*a(n+1),a(0)=1,a(1)=2,a(2)=5} ogf] A123166 8.67402 [-(x^2+3*x-1)/(4*x-1)/(x-1) ogf] A123167 13.3338 [(x^3+6*x^2+3*x+2)/(x+1)^2/(x-1)^2 ogf] A123167 14.9156 [-(3+20*x+x^4+12*x^3+12*x^2)/(x-1)/(x+1)/(x^3+6*x^2+3*x+2) lgdogf] A123167 7.95136 [-(192*f(x)+541)*(f(x)*x^4-2*f(x)*x^2-x^3-6*x^2+f(x)-3*x-2) ogf] A123168 11.2398 [x*(2*x^3+3*x^2+6*x+1)/(x+1)^2/(x-1)^2 ogf] A123168 12.9384 [-2*(3+5*x+12*x^2+3*x^3+x^4)/(x-1)/(x+1)/(2*x^3+3*x^2+6*x+1) lgdogf] A123168 6.86323 [-(128*f(x)+239)*(f(x)*x^4-2*x^4-2*f(x)*x^2-3*x^3-6*x^2+f(x)-x) ogf] A123169 12.2973 [2*x*(x^3+6*x^2+3*x+2)/(x+1)^2/(x-1)^2 ogf] A123169 14.8883 [-(3+20*x+x^4+12*x^3+12*x^2)/(x-1)/(x+1)/(x^3+6*x^2+3*x+2) lgdogf] A123169 4.26145 [{(-2*n^2-3*n)*a(n)+(-4*n^2-18*n-20)*a(n+1)+(2*n^2-n)*a(n+2)+(4*n^2+10*n+4)*a(n+3),a(0)=0,a(1)=4,a(2)=6} ogf] A123169 7.61782 [-(32*f(x)-259)*(f(x)*x^4-2*x^4-2*f(x)*x^2-12*x^3-6*x^2+f(x)-4*x) ogf] A123183 10.4339 [3*f(x)*x^2-4*f(x)*x+x^2+f(x)-3*x+1 ogf] A123183 13.9775 [-(x^2-3*x+1)/(3*x-1)/(x-1) ogf] A123183 21.1536 [(1-4*x+5*x^2)/(x-1)/(3*x-1)/(x^2-3*x+1) lgdogf] A123183 7.26280 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=-1,a(1)=-1,a(2)=-2} ogf] A123184 6.21331 [-(3*x^4+9*x^3-29*x^2+12*x-1)/(x-1)/(x^4-3*x^3-27*x^2+12*x-1) ogf] A123188 5.19623 [(9*f(x)+2)*(4*f(x)*x^4-6*f(x)*x^3-8*f(x)*x^2+4*x^3+5*f(x)*x+6*x^2+f(x)-5*x-1) ogf] A123188 9.24523 [-(4*x^3+6*x^2-5*x-1)/(4*x^4-6*x^3-8*x^2+5*x+1) ogf] A123189 11.9038 [-(2*x-1)/(4*x^3-3*x^2-3*x+1) ogf] A123189 12.1181 [-(1+6*x-18*x^2+16*x^3)/(-1+2*x)/(4*x^3-3*x^2-3*x+1) lgdogf] A123189 5.63303 [-(2355*f(x)-512)*(4*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A123189 5.63304 [{-a(n+3)+3*a(n+2)+3*a(n+1)-4*a(n),a(0)=1,a(1)=1,a(2)=6} ogf] A123190 4.69286 [-(731*f(x)+274)*(108*f(x)*x^4-30*f(x)*x^3-34*f(x)*x^2+12*x^3+4*f(x)*x+28*x^2+f(x)-4*x-1) ogf] A123190 8.53760 [-(12*x^3+28*x^2-4*x-1)/(108*x^4-30*x^3-34*x^2+4*x+1) ogf] A123194 8.52519 [-(3*x^4+6*x^3-5*x^2-5*x+4)/(x-1)/(x^2+x-1)^2 ogf] A123194 9.49539 [-(-7+11*x+3*x^6+9*x^5-6*x^4-9*x^3+2*x^2)/(x-1)/(x^2+x-1)/(3*x^4+6*x^3-5*x^2-5*x+4) lgdogf] A123197 17.2009 [-6*(4+41*x+34*x^2+x^3)/(x-1)/(3*x^3+65*x^2+29*x-1) lgdogf] A123197 4.33231 [{(-706*n^2-4783*n-7995)*a(n+1)+(312*n^2-1484*n-6688)*a(n+2)+(394*n^2+1867*n+2055)*a(n+3),a(0)=-1,a(1)=24,a(2)=195} ogf] A123197 9.78421 [-(3*x^3+65*x^2+29*x-1)/(x-1)^5 ogf] A123198 13.5297 [-2*(2+69*x+25*x^3+144*x^2)/(x-1)/(25*x^3+71*x^2-x+1) lgdogf] A123198 3.62327 [{(1730*n^2+10385*n+15585)*a(n+1)+(-1744*n^2-3480*n+460)*a(n+2)+(14*n^2-41*n-249)*a(n+3),a(0)=1,a(1)=4,a(2)=81} ogf] A123198 8.06076 [-(25*x^3+71*x^2-x+1)/(x-1)^5 ogf] A123203 10.9284 [-(4*x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A123203 15.5483 [-2*(-1+4*x^3)/(x-1)/(-1+2*x)/(4*x^2-2*x+1) lgdogf] A123203 5.89942 [(73*f(x)-40)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A123203 5.95210 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A123208 11.6342 [-(x^3-3*x^2-3*x-1)/(x-1)/(x+1)/(2*x^2-1) ogf] A123208 7.79609 [-f(x)*(2*f(x)*x^4-3*f(x)*x^2+x^3-3*x^2+f(x)-3*x-1) ogf] A123208 9.15389 [-(3+12*x+2*x^6-15*x^4-8*x^3-12*x^5+6*x^2)/(x-1)/(x+1)/(2*x^2-1)/(x^3-3*x^2-3*x-1) lgdogf] A123219 5.19524 [-(x^4+52*x^3-122*x^2-28*x+1)/(x-1)/(x^2-34*x+1)/(x^2+6*x+1) ogf] A123220 6.99888 [-(136*x^4-144*x^3+60*x^2-12*x+1)/(3*x-1)/(176*x^4-168*x^3+64*x^2-12*x+1) ogf] A123222 5.22745 [-(31*f(x)-69)*(9*f(x)*x^4-8*f(x)*x^3+3*x^3+4*f(x)*x-3*x^2-f(x)-x+1) ogf] A123222 8.31892 [-(3-6*x+27*x^6-3*x^4+28*x^3-54*x^5-3*x^2)/(x-1)/(3*x^2-1)/(9*x^4-8*x^3+4*x-1) lgdogf] A123222 9.47004 [-(x-1)*(3*x^2-1)/(9*x^4-8*x^3+4*x-1) ogf] A123224 3.34306 [{(-7*n-30)*a(n+1)+(98*n+413)*a(n+2)+(-98*n-329)*a(n+3)+(7*n+23)*a(n+4),a(0)=1,a(1)=4,a(2)=35,a(3)=428} ogf] A123224 4.64439 [(1186971660*f(x)+22750397)*(f(x)*x^4-15*f(x)*x^3+28*f(x)*x^2-15*f(x)*x-3*x^2+f(x)+11*x-1) ogf] A123224 9.47964 [(3*x^2-11*x+1)/(x^2-13*x+1)/(x-1)^2 ogf] A123228 5.92053 [-(7+160*x^7+160*x+2784*x^5+7*x^8+948*x^6+948*x^2+2784*x^3+5578*x^4)/(x+1)/(7*x^4+80*x^3+142*x^2+32*x+3)/(x^4+12*x^3+62*x^2+12*x+1) lgdogf] A123228 7.29246 [2*(7*x^4+80*x^3+142*x^2+32*x+3)/(x+1)/(x^4+12*x^3+62*x^2+12*x+1) ogf] A123231 14.2068 [-(x^3+2*x+1)/(x^4+x^2-1) ogf] A123231 14.7063 [-(2+2*x+5*x^4+4*x^3+x^6+5*x^2)/(x^3+2*x+1)/(x^4+x^2-1) lgdogf] A123231 8.26315 [-(10*f(x)-1)*(f(x)*x^4+f(x)*x^2+x^3-f(x)+2*x+1) ogf] A123236 5.88888 [-(150*x^3-23*x^2-9*x+1)/(2400*x^5-240*x^4-370*x^3+44*x^2+10*x-1) ogf] A123251 7.94085 [-(4+2*x+48*x^4+x^10-2*x^9+12*x^8-4*x^7+22*x^6+4*x^3+9*x^2)/(x-1)/(x+1)/(x^7-x^6+4*x^5-x^4+3*x^3+x^2+4*x+1)/(x^2+1) lgdogf] A123251 9.51375 [(x^7-x^6+4*x^5-x^4+3*x^3+x^2+4*x+1)/(x^2+1)^2/(x-1)^2/(x+1)^2 ogf] A123259 7.13081 [(7*x^4+80*x^3+142*x^2+32*x+3)/(x+1)/(x^4+12*x^3+62*x^2+12*x+1) ogf] A123268 5.72422 [4*x*(2*x^2-73*x+2)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A123270 13.6693 [(4*x-1)/(4*x^2+5*x-1) ogf] A123270 15.0688 [1/8*(-1-5*x+(1-6*x+41*x^2)^(1/2))/(-1+x) revogf] A123270 15.8619 [-(-1-8*x+16*x^2)/(4*x-1)/(4*x^2+5*x-1) lgdogf] A123270 7.07032 [(85*f(x)-84)*(4*f(x)*x^2+5*f(x)*x-f(x)-4*x+1) ogf] A123270 7.50143 [{-a(n+2)+5*a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A123278 4.39293 [(67441352*f(x)+1419191)*(f(x)*x^4-108*f(x)*x^3+982*f(x)*x^2-6*x^3-108*f(x)*x+148*x^2+f(x)-6*x) ogf] A123278 8.35200 [2*x*(3*x^2-74*x+3)/(x^2-98*x+1)/(x^2-10*x+1) ogf] A123282 5.74061 [8*x*(2*x^2-73*x+2)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A123283 5.00629 [4*x*(3*x^2-74*x+3)/(x^2-98*x+1)/(x^2-10*x+1) ogf] A123290 10.1145 [-2*(4*x^2-3*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A123290 5.45303 [(107*f(x)-28)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+8*x^2-f(x)-6*x+2) ogf] A123290 5.50086 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=2,a(1)=8,a(2)=36} ogf] A123290 9.03759 [-2*(2-10*x+16*x^4-24*x^3+19*x^2)/(x-1)/(2*x-1)/(4*x-1)/(4*x^2-3*x+1) lgdogf] A123293 15.1856 [-4/(-1+x) lgdogf] A123293 2.57527 [128*x^2/(x-1)^4 ogf] A123296 10.5603 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+25*x ogf] A123296 10.9738 [-25*x/(x-1)^3 ogf] A123296 4.46723 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=25,a(2)=75} ogf] A123296 54.9438 [-3/(-1+x) lgdogf] A123304 5.09255 [-(707*f(x)+26007)*(2*f(x)*x^4-f(x)*x^3-9*f(x)*x^2+x^3-5*f(x)*x+18*x^2+f(x)+15*x-4) ogf] A123304 6.15976 [-(5+36*x+2*x^6+72*x^5-52*x^3+81*x^4-36*x^2)/(1+x)/(2*x^3-3*x^2-6*x+1)/(x^3+18*x^2+15*x-4) lgdogf] A123304 9.60492 [-(x^3+18*x^2+15*x-4)/(x+1)/(2*x^3-3*x^2-6*x+1) ogf] A123330 12.0040 [-(-2*x^3+2*x^2-x-2)/(x^4+x^2+1) ogf_with_Euler_transform] A123332 10.0084 [(-16*x+5+2*(1-2*x)^(1/2))/(8*x-3)/(2*x-1) lgdegf] A123332 5.43256 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x+16*f(x)*x^2-f(x)^2-16*f(x)*x+4*f(x)+8*x-3 egf] A123335 16.7121 [-(x+1)/(x^2-2*x-1) ogf] A123335 25.4780 [-(-1+2*x+x^2)/(x+1)/(x^2-2*x-1) lgdogf] A123335 8.35604 [-(10*f(x)-9)*(f(x)*x^2-2*f(x)*x-f(x)+x+1) ogf] A123335 9.17127 [{a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-1} ogf] A123336 3.36444 [(11210*f(x)-1831)*(f(x)*x^4-18*f(x)*x^3+58*f(x)*x^2-3*x^3-18*f(x)*x+22*x^2+f(x)-3*x) ogf] A123336 5.73469 [-2*(-16+171*x+3*x^5-60*x^4+402*x^3-692*x^2)/(x^2-14*x+1)/(3*x^2-22*x+3)/(x^2-4*x+1) lgdogf] A123336 6.29194 [x*(3*x^2-22*x+3)/(x^2-14*x+1)/(x^2-4*x+1) ogf] A123344 15.8508 [-2*f(x)*x-f(x)+3*x+1 ogf] A123344 19.2781 [(3*x+1)/(2*x+1) ogf] A123344 22.2131 [-1/6+1/3*x+1/6*(1+8*x+4*x^2)^(1/2) revogf] A123344 44.4262 [1/(2*x+1)/(3*x+1) lgdogf] A123344 9.90678 [{a(n+2)+2*a(n+1),a(0)=1,a(1)=1} ogf] A123347 2.93076 [-(x+1)/(2*x^2+4*x-1) ogf] A123347 8.83319 [(24*f(x)+1)*(2*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A123348 14.8033 [-2*f(x)*x^2-4*f(x)*x+f(x)-3*x ogf] A123348 3.43484 [-3*x/(2*x^2+4*x-1) ogf] A123348 5.44977 [-4*(x+1)/(2*x^2-1+4*x) lgdogf] A123350 13.7081 [-(3+10*x+2*x^4+15*x^2)/(x-1)/(2*x^4-4*x^3+9*x^2-2*x+1) lgdogf] A123350 7.94402 [-(2*x^4-4*x^3+9*x^2-2*x+1)/(x-1)^5 ogf] A123357 8.60519 [-(82*f(x)-1)*(8*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A123358 9.8443 [-(21*f(x)-5)*(25*f(x)*x^2-15*f(x)*x+f(x)+5*x-1) ogf] A123362 13.2606 [(5*x-1)/(5*x^2+6*x-1) ogf] A123362 14.2573 [1/10*(-1-6*x+(1-8*x+56*x^2)^(1/2))/(-1+x) revogf] A123362 14.9884 [-(-1-10*x+25*x^2)/(5*x-1)/(5*x^2+6*x-1) lgdogf] A123362 6.70479 [(126*f(x)-125)*(5*f(x)*x^2+6*f(x)*x-f(x)-5*x+1) ogf] A123362 7.27715 [{-a(n+2)+6*a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A123363 12.6880 [-2*(1+4*x+12*x^3+9*x^4+22*x^2)/(x-1)/(x+1)/(9*x^3-x^2+5*x-1) lgdogf] A123363 9.08733 [(9*x^3-x^2+5*x-1)/(x+1)/(x-1)^4 ogf] A123377 5.02899 [2*x*(5*x^2-242*x+5)/(x^2-18*x+1)/(x^2-322*x+1) ogf] A123378 4.87755 [12*x*(5*x^2-541*x+5)/(x^2-38*x+1)/(x^2-1442*x+1) ogf] A123379 5.08815 [4*x*(5*x^2-242*x+5)/(x^2-18*x+1)/(x^2-322*x+1) ogf] A123380 4.82215 [24*x*(5*x^2-541*x+5)/(x^2-38*x+1)/(x^2-1442*x+1) ogf] A123381 5.17446 [8*x*(5*x^2-242*x+5)/(x^2-18*x+1)/(x^2-322*x+1) ogf] A123385 4.65874 [{(n^2+8*n+16)*a(n+1)-a(n+2),a(0)=2,a(1)=18} ogf] A123392 13.3923 [-x^3/(x^4+2*x^3+2*x^2+x-1) ogf] A123392 16.0522 [-(2*x+1)*(2*x^2+2*x+1)/(2*x^2-1+x+x^4+2*x^3) lgdogf] A123392 7.16961 [-f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2-x^3-f(x)*x+f(x) ogf] A123393 4.71215 [8*x*(4*x^2-337*x+4)/(x^2-30*x+1)/(x^2-898*x+1) ogf] A123394 4.71215 [16*x*(4*x^2-337*x+4)/(x^2-30*x+1)/(x^2-898*x+1) ogf] A123395 4.91135 [3*x*(9*x^2-382*x+9)/(x^2-16*x+1)/(x^2-254*x+1) ogf] A123397 4.65956 [4*x*(9*x^2-866*x+9)/(x^2-34*x+1)/(x^2-1154*x+1) ogf] A123464 6.44725 [-2/(2*x-1) lgdogf] A123478 12.9363 [-48/(x-1)/(x^2-254*x+1) ogf] A123478 15.8056 [-3*(85-170*x+x^2)/(x-1)/(x^2-254*x+1) lgdogf] A123478 4.68557 [{a(n+3)-255*a(n+2)+255*a(n+1)-a(n),a(0)=48,a(1)=12240,a(2)=3108960} ogf] A123478 5.17451 [(594588709*f(x)-5232)*(f(x)*x^3-255*f(x)*x^2+255*f(x)*x-f(x)+48) ogf] A123479 13.6152 [-20/(x-1)/(x^2-98*x+1) ogf] A123479 16.8146 [-3*(33-66*x+x^2)/(x-1)/(x^2-98*x+1) lgdogf] A123479 4.87046 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=20,a(1)=1980,a(2)=194040} ogf] A123479 5.3488 [(92208103*f(x)-5900)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+20) ogf] A123480 16.3656 [-4/(x-1)/(x^2-14*x+1) ogf] A123480 20.2647 [-3*(5-10*x+x^2)/(x-1)/(x^2-14*x+1) lgdogf] A123480 6.01471 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=4,a(1)=60,a(2)=840} ogf] A123480 6.57683 [(37843*f(x)-172)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+4) ogf] A123482 13.7727 [-60/(x-1)/(x^2-398*x+1) ogf] A123482 16.4022 [-3*(133-266*x+x^2)/(x-1)/(x^2-398*x+1) lgdogf] A123482 4.98853 [{a(n+3)-399*a(n+2)+399*a(n+1)-a(n),a(0)=60,a(1)=23940,a(2)=9528120} ogf] A123482 5.369 [(25091352403*f(x)-71700)*(f(x)*x^3-399*f(x)*x^2+399*f(x)*x-f(x)+60) ogf] A123510 3.89445 [{(n^3+11*n^2+38*n+40)*a(n+1)+(-2*n^2-16*n-30)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=6,a(2)=42} ogf] A123510 6.97480 [-(-84+160*x+12*x^4-16*x^3-73*x^2)/(3*x^3-2*x^2-12*x+12)/(-1+x)^2 lgdegf] A123511 5.78186 [-(420-960*x+80*x^5-350*x^4+316*x^3+495*x^2)/(-2+x)/(16*x^3-21*x^2-18*x+24)/(x-1)^2 lgdegf] A123512 2.91104 [{(n^3+15*n^2+68*n+84)*a(n+1)+(-2*n^2-20*n-42)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=10,a(2)=105} ogf] A123518 7.00538 [(2*x^3-3*x^2+2*x+1)/(x^3-x^2-3*x+1)^2 ogf] A123518 8.87206 [-2*(-4-2*x-7*x^4+11*x^3+3*x^5-3*x^2)/(x^3-x^2-3*x+1)/(2*x^3-3*x^2+2*x+1) lgdogf] A123520 10.0210 [-4*(x-1)/(x^2-4*x+1)^2 ogf] A123520 19.0292 [-(7-8*x+3*x^2)/(x-1)/(x^2-4*x+1) lgdogf] A123520 4.67143 [-(32072*f(x)-2767)*(f(x)*x^4-8*f(x)*x^3+18*f(x)*x^2-8*f(x)*x+f(x)+4*x-4) ogf] A123522 12.0753 [-(101-319*x+380*x^2)/(x-1)/(19*x-10)/(10*x-1) lgdogf] A123522 4.31298 [-(1968219*f(x)+2997541)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-19*x^2-f(x)+10*x) ogf] A123522 4.71847 [{-a(n+3)+12*a(n+2)-21*a(n+1)+10*a(n),a(0)=0,a(1)=10,a(2)=101} ogf] A123522 8.90421 [x*(19*x-10)/(10*x-1)/(x-1)^2 ogf] A123525 7.21829 [-(-14+10*x+2*x^4-12*x^3+13*x^2)/(x^3-4*x^2+2*x+2)/(-1+x)^2 lgdegf] A123526 5.50863 [(6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A123530 8.46918 [-(2*x^4+x^2-x+2)/(-x^5+x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A123532 11.7132 [-(-4*x^5-7*x^4-2*x^3-2*x^2-2*x-7)/(x^6-1) ogf_with_Euler_transform] A123552 21.3070 [1/(x-1)/(x^4+x^3-1) ogf] A123552 24.5037 [-(-1-3*x^2+5*x^4)/(x-1)/(x^4+x^3-1) lgdogf] A123555 5.60276 [{(-27*n^3-135*n^2-222*n-120)*a(n+1)+(n^3+9*n^2+23*n+15)*a(n+2),a(0)=0,a(1)=2} ogf] A123569 4.09291 [-(x^11+x^10+x^9+2*x^8-x^7-x^6-x^5-3*x^4+x+1)/(x^4+x^3-1)/(x^4+x^2-1)/(x^4+x-1) ogf] A123578 25.2676 [-(2+x)/(-x-1) ogf_with_Euler_transform] A123589 3.61878 [(1649642084*f(x)+34965875)*(20*f(x)*x^4-19*f(x)*x^3+3*x^4-15*f(x)*x^2+4*x^3-f(x)*x+x^2+f(x)-3*x-1) ogf] A123589 6.18208 [-(4+28*x+91*x^2+30*x^3-130*x^4+130*x^5+137*x^6)/(3*x+1)/(x^3+x^2-1)/(20*x^4-19*x^3-15*x^2-x+1) lgdogf] A123589 6.74409 [-(3*x+1)*(x^3+x^2-1)/(20*x^4-19*x^3-15*x^2-x+1) ogf] A123596 11.7222 [-x^2*(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A123596 20.1792 [-(1+8*x+5*x^2+4*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A123596 34.0882 [-x^2+3*x+1 ogf_with_Euler_transform] A123613 5.46518 [(x^6+4*x^5+8*x^4+6*x^3+10*x^2+1)/(x^2+x+1)^2/(x-1)^6 ogf] A123613 6.97396 [-4*(1+6*x+17*x^6+39*x^4+24*x^3+24*x^5+17*x^2+6*x^7+x^8)/(x-1)/(x^2+x+1)/(x^6+4*x^5+8*x^4+6*x^3+10*x^2+1) lgdogf] A123620 14.2004 [-(x^2+x+1)/(3*x^2+3*x-1) ogf] A123620 21.7526 [-4*(2*x+1)/(x^2+x+1)/(3*x^2+3*x-1) lgdogf] A123620 7.30700 [{a(n+3)-3*a(n+2)-3*a(n+1),a(0)=1,a(1)=4,a(2)=16} ogf] A123620 8.0066 [(-7+19*f(x))*(3*f(x)*x^2+3*f(x)*x+x^2-f(x)+x+1) ogf] A123633 14.7842 [-(-3*x^2+3)/(x^4+x^2+1) ogf_with_Euler_transform] A123642 3.23304 [{(8*n^2+32*n+32)*a(n+1)+(-6*n^2-38*n-52)*a(n+2)+(n^2+13*n+24)*a(n+3)+(-3-n)*a(n+4),a(0)=0,a(1)=-1,a(2)=-2,a(3)=-2} ogf] A123649 10.0966 [-(-x^6-x^5+2*x^4-2*x^2+x+1)/(x^8+x^4+1) ogf_with_Euler_transform] A123650 6.27003 [-(x^5-6*x^4-20*x^3-70*x^2-21*x-4)/(x-1)^6 ogf] A123650 9.30855 [-(-45-245*x-84*x^3-7*x^4+x^5-340*x^2)/(x-1)/(x^5-6*x^4-20*x^3-70*x^2-21*x-4) lgdogf] A123654 5.64203 [x*(200*x^5+409*x^4+200*x^3-936*x^2-1227*x-264)/(x-1)/(x^6-6*x^3+1) ogf] A123655 10.2976 [-(2*x^8+x^7+x+2)/(x^10-x^8+x^2-1) ogf_with_Euler_transform] A123655 4.76576 [-(21*x^16+24*x^12+87*x^8+2*x^4+49)/(52*x^20+42*x^17-125*x^16+48*x^13-98*x^12+174*x^9-42*x^8+4*x^5-100*x^4+98*x-49) ogf] A123656 5.20010 [-(x^6-4*x^5+81*x^4+272*x^3+307*x^2+60*x+3)/(x-1)^7 ogf] A123656 7.25085 [-(81+974*x+x^6+223*x^4+1412*x^3-2*x^5+2351*x^2)/(x-1)/(x^6-4*x^5+81*x^4+272*x^3+307*x^2+60*x+3) lgdogf] A123684 15.7562 [(2*x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A123684 20.0226 [-(1+8*x+4*x^3+3*x^2)/(x-1)/(x+1)/(2*x^2+x+1) lgdogf] A123684 8.71942 [-(1120*f(x)+1013)*(f(x)*x^4-2*f(x)*x^2-2*x^2+f(x)-x-1) ogf] A123691 5.75371 [{(27*n^2+108*n+105)*a(n+1)+(-n^2-8*n-15)*a(n+2),a(0)=1,a(1)=3} ogf] A123720 11.4279 [-(3*x^2-4*x+2)/(2*x-1)/(x-1)^2 ogf] A123720 14.2368 [-2*(3*x-2)*(x^2-x+1)/(x-1)/(2*x-1)/(3*x^2-4*x+2) lgdogf] A123720 5.95811 [-(37*f(x)-35)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-4*x+2) ogf] A123720 6.22411 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=4,a(2)=9} ogf] A123738 25.3428 [-x^13+2*x^6+x ogf_with_Euler_transform] A123738 8.19863 [-(x^6-x^5+x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A123738 8.62604 [-2*x*(-x^10-2*x^8-3*x^6+1+3*x^4+3*x^7+4*x^5+x^11-x+2*x^9+2*x^2-2*x^3)/(x-1)/(x^6+x^4+x^5+1+x+x^2+x^3)/(x^6-x^5+x^4-x^3+x^2-x+1) lgdogf] A123752 10.5693 [{-a(n+2)+7*a(n),a(0)=1,a(1)=2} ogf] A123752 16.4985 [-(2*x+1)/(7*x^2-1) ogf] A123752 17.9218 [1/2/(2+7*x)*(-1+(1+8*x+28*x^2)^(1/2)) revogf] A123752 19.5032 [-2*(1+7*x+7*x^2)/(1+2*x)/(7*x^2-1) lgdogf] A123752 9.52729 [-(7*f(x)-5)*(7*f(x)*x^2-f(x)+2*x+1) ogf] A123758 4.81899 [-(-2*x^7-3*x^6-3*x^5-4*x^4-3*x^3-2*x^2-x-1)/(x^8+x^7+x^6+x^5-x^3-x^2-x-1) ogf_with_Euler_transform] A123759 3.24633 [-(-2*x^19-x^18-x^17-x^16-x^15-2*x^14-x^13-x^12-x^11-x^10-x^9-x^8-x^7-x^6-x^5-2*x^4-x^3-x^2-x-1)/(x^20-1) ogf_with_Euler_transform] A123759 99.9999 Evaluated at exp(-Pi) 1/51200*exp(2/3*Pi)*Pi^(1/2)*2^(11/40)*5^(3/4)/GAMMA(3/4)^2*GAMMA(4/5)^6/GAMMA(9/10)^3/GAMMA(7/10)^3*(5-5^(1/2))^3*(5^(1/2)-1)^3*(5^(1/2)+1)^3 A123760 12.8980 [-(15*x^3+13*x^2+11*x+9)/(2*x^4-1) ogf] A123760 8.1461 [-(268*f(x)-1197)*(2*f(x)*x^4+15*x^3+13*x^2-f(x)+11*x+9) ogf] A123760 9.72410 [-(11+30*x^6+52*x^5+26*x+66*x^4+72*x^3+45*x^2)/(15*x^3+13*x^2+11*x+9)/(2*x^4-1) lgdogf] A123761 7.70156 [(60*x^6-60*x^5-15*x^4-12*x^3-3*x^2-2*x-1)/(120*x^6-1) ogf] A123858 9.78894 [-(-2*x^5-x^4+1)/(x^6+x^5-x-1) ogf_with_Euler_transform] A123865 14.9870 [-2*(-40-15*x+x^3-6*x^2)/(x-1)/(x^3-5*x^2-5*x-15) lgdogf] A123865 4.34498 [{(n^2+6*n+8)*a(n+1)+(24+8*n)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=15,a(2)=80} ogf] A123865 7.93432 [x*(x^3-5*x^2-5*x-15)/(x-1)^5 ogf] A123866 5.30856 [x*(x^5-7*x^4-42*x^3-322*x^2-287*x-63)/(x-1)^7 ogf] A123866 8.25945 [-2*(-364-1183*x-98*x^3-8*x^4+x^5-868*x^2)/(x-1)/(x^5-7*x^4-42*x^3-322*x^2-287*x-63) lgdogf] A123871 13.7316 [-(x^2+x+1)/(4*x^2+4*x-1) ogf] A123871 21.0312 [-5*(2*x+1)/(x^2+x+1)/(4*x^2+4*x-1) lgdogf] A123871 7.06576 [{a(n+3)-4*a(n+2)-4*a(n+1),a(0)=1,a(1)=5,a(2)=25} ogf] A123871 7.74228 [(-9+29*f(x))*(4*f(x)*x^2+4*f(x)*x+x^2-f(x)+x+1) ogf] A123877 12.3814 [(2*x+1)/(3*x^2+3*x+1) ogf] A123877 17.0441 [-(1+6*x+6*x^2)/(1+2*x)/(3*x^2+3*x+1) lgdogf] A123877 6.26028 [-(f(x)-1)*(3*f(x)*x^2+3*f(x)*x+f(x)-2*x-1) ogf] A123877 6.79470 [{-a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=-1} ogf] A123879 4.23664 [(3*f(x)+1)*(f(x)*x^4-3*f(x)*x^3+5*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A123879 7.53794 [-(x-1)*(x^2-x+1)/(x^4-3*x^3+5*x^2-3*x+1) ogf] A123879 8.02404 [-(1-6*x+x^6-4*x^5-10*x^3+7*x^4+10*x^2)/(x-1)/(x^2-x+1)/(x^4-3*x^3+5*x^2-3*x+1) lgdogf] A123884 4.03999 [-(-2*x^10-2*x^8-x^6+x^5-3*x^4-x^3-2*x^2-2)/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A123887 15.0508 [-(x^2+x+1)/(5*x^2+5*x-1) ogf] A123887 23.0876 [-6*(1+2*x)/(x^2+x+1)/(5*x^2+5*x-1) lgdogf] A123887 7.74457 [{a(n+3)-5*a(n+2)-5*a(n+1),a(0)=1,a(1)=6,a(2)=36} ogf] A123887 8.39675 [(-11+41*f(x))*(5*f(x)*x^2+5*f(x)*x+x^2-f(x)+x+1) ogf] A123888 17.5471 [-(3-9*x^2+5*x^4)/(x-1)/(x^4+x^3-2*x^2-2*x+1) lgdogf] A123888 21.2345 [-1/(x-1)/(x^4+x^3-2*x^2-2*x+1) ogf] A123888 7.62793 [-(f(x)-1)*(f(x)*x^5-3*f(x)*x^3+3*f(x)*x-f(x)+1) ogf] A123889 11.0274 [-(-4+18*x^2-20*x^4+7*x^6)/(x-1)/(x^6+x^5-3*x^4-3*x^3+3*x^2+3*x-1) lgdogf] A123889 14.8942 [1/(x-1)/(x^6+x^5-3*x^4-3*x^3+3*x^2+3*x-1) ogf] A123890 12.8855 [-1/(x-1)/(x^8+x^7-4*x^6-4*x^5+6*x^4+6*x^3-4*x^2-4*x+1) ogf] A123890 8.38546 [-(5-30*x^2+50*x^4-35*x^6+9*x^8)/(x-1)/(x^8+x^7-4*x^6-4*x^5+6*x^4+6*x^3-4*x^2-4*x+1) lgdogf] A123891 10.3264 [-f(x)*x^3+x^3+3*f(x)*x-3*x^2-f(x)+1 ogf] A123891 13.5874 [(x^3-3*x^2+1)/(x^3-3*x+1) ogf] A123891 19.5131 [3*(x^2-x+1)^2/(x^3-3*x^2+1)/(x^3-3*x+1) lgdogf] A123891 6.73460 [{a(n+4)-3*a(n+3)+a(n+1),a(0)=1,a(1)=3,a(2)=6,a(3)=18} ogf] A123892 5.1786 [-(f(x)-1)*(2*f(x)*x^5-2*f(x)*x^4+6*f(x)*x^3+2*x^4-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+1) ogf] A123892 9.90967 [-(x^2+1)*(2*x^2+1)/(2*x^5-2*x^4+6*x^3-3*x^2+3*x-1) ogf] A123893 6.75533 [-(2*x^2+1)*(3*x^2+1)*(x^2+1)/(6*x^7-6*x^6+22*x^5-11*x^4+18*x^3-6*x^2+4*x-1) ogf] A123894 4.97820 [-(4*x^2+1)*(2*x^2+1)*(3*x^2+1)*(x^2+1)/(24*x^9-24*x^8+100*x^7-50*x^6+105*x^5-35*x^4+40*x^3-10*x^2+5*x-1) ogf] A123904 7.37577 [(9+1440*x^6-1416*x^5+172*x^4+90*x^3+27*x^2)/(2*x-1)/(180*x^6-56*x^5-27*x^4-9*x^3+x^2-x-2) lgdogf] A123904 7.52553 [-(180*x^6-56*x^5-27*x^4-9*x^3+x^2-x-2)/(2*x-1)^2 ogf] A123908 9.85468 [-(x+1)*(3*x^5+5*x^4+8*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^5+2*x^4+2*x^3+x^2-1) lgdogf] A123908 9.91604 [-(x^2+x+1)/(x^5+2*x^4+2*x^3+x^2-1) ogf] A123919 10.9449 [-(1+3*x+2*x^4+5*x^7+x^6+2*x^3+8*x^5+2*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A123919 15.9746 [x*(x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A123919 24.5366 [[x^5-x^3+x+1] ogf_with_Euler_transform] A123920 10.0204 [-2*(1+2*x^2+2*x^8-2*x^7+3*x^6+4*x^5+x^4+x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^3-x^2+x+1) lgdogf] A123920 13.3227 [(x^3-x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A123932 13.7680 [{a(n+2)-a(n+1),a(0)=1,a(1)=4} ogf] A123932 22.0287 [-f(x)*x+f(x)-3*x-1 ogf] A123932 26.7917 [-(3*x+1)/(x-1) ogf] A123932 29.4751 [-1/6-1/6*x+1/6*(1+14*x+x^2)^(1/2) revogf] A123932 60.7924 [-4/(1+3*x)/(x-1) lgdogf] A123941 12.6131 [f(x)*x^3-3*f(x)*x+f(x)-x ogf] A123941 22.5507 [x/(x^3-3*x+1) ogf] A123941 28.2335 [-3*(x-1)*(x+1)/(1-3*x+x^3) lgdogf] A123941 8.00186 [{a(n+3)-3*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A123942 11.1152 [-(3+6*x-3*x^2-2*x^3+4*x^4+2*x^5)/(x^2+x-1)/(x^4+x^3-4*x^2-4*x+1) lgdogf] A123942 5.34095 [(14*f(x)-29)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+x^3-4*f(x)*x+x^2+f(x)-x) ogf] A123942 9.87711 [-x*(x^2+x-1)/(x^4+x^3-4*x^2-4*x+1) ogf] A123943 10.4620 [-x*(x^3-3*x+1)/(x^5-6*x^3+8*x-1) ogf] A123943 8.99724 [-(5+5*x^4+20*x^3-12*x^5-15*x^2+2*x^7)/(x^3-3*x+1)/(x^5-6*x^3+8*x-1) lgdogf] A123946 4.21449 [(2*x^18-x^17-x^16+x^15+x^14-x^13+2*x^12-x^11-x^9+x^7+x^4-x^3+x^2+1)/(x-1)/(2*x^3-1)/(x^6+x^3+1) ogf] A123947 10.1450 [-(3+2*x^5+6*x-2*x^4-6*x^3+3*x^2)/(x^2-x-1)/(x^4+x^3-4*x^2-2*x+1) lgdogf] A123947 4.95615 [(5*f(x)-1)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-x) ogf] A123947 9.02970 [-x*(x^2-x-1)/(x^4+x^3-4*x^2-2*x+1) ogf] A123950 12.5473 [-x*(2*x-1)/(2*x^3-3*x^2-3*x+1) ogf] A123950 13.2319 [-(1+6*x+8*x^3-12*x^2)/(2*x-1)/(2*x^3-3*x^2-3*x+1) lgdogf] A123950 6.44322 [{a(n+3)-3*a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A123950 6.68408 [(f(x)+1)*(2*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-x) ogf] A123952 10.4828 [-(29*x^2-11*x+1)/(5*x-1)/(22*x^2-10*x+1) ogf] A123952 5.57421 [-(472*f(x)-1669)*(110*f(x)*x^3-72*f(x)*x^2+15*f(x)*x+29*x^2-f(x)-11*x+1) ogf] A123952 6.00299 [{-a(n+3)+15*a(n+2)-72*a(n+1)+110*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A123954 4.78965 [780*f(x)*x^5-1091*f(x)*x^4+592*f(x)*x^3+x^4-156*f(x)*x^2+20*f(x)*x-f(x) ogf] A123954 8.00375 [-4*(5-78*x+444*x^2-1091*x^3+975*x^4)/(-1+4*x)/(3*x-1)/(5*x-1)/(13*x^2-8*x+1) lgdogf] A123954 9.07888 [-x^4/(4*x-1)/(3*x-1)/(5*x-1)/(13*x^2-8*x+1) ogf] A123955 4.90692 [144*f(x)*x^5-300*f(x)*x^4+234*f(x)*x^3+x^4-86*f(x)*x^2+15*f(x)*x-f(x) ogf] A123955 8.51894 [-(24*x^2-24*x+5)*(30*x^2-20*x+3)/(3*x-1)/(-1+2*x)/(-1+4*x)/(6*x^2-6*x+1) lgdogf] A123955 9.43637 [-x^4/(3*x-1)/(2*x-1)/(4*x-1)/(6*x^2-6*x+1) ogf] A123957 10.1942 [4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-x^3+f(x) ogf] A123957 16.8517 [x^3/(2*x+1)/(2*x^3+x^2-2*x+1) ogf] A123957 19.6430 [-2*x*(-3+6*x+8*x^2)/(1+2*x)/(2*x^3+x^2-2*x+1) lgdogf] A123958 21.2284 [x^2/(2*x^3+2*x^2+1) ogf] A123958 33.9226 [-2*x*(2+3*x)/(1+2*x^2+2*x^3) lgdogf] A123958 9.46048 [{-a(n+3)-2*a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A123958 9.77937 [-(2*f(x)-1)*(2*f(x)*x^3+2*f(x)*x^2-x^2+f(x)) ogf] A123959 15.3055 [-8*x*(-1-3*x+4*x^2+5*x^3)/(1-4*x^2-8*x^3+8*x^4+8*x^5) lgdogf] A123959 15.5034 [1/(8*x^5+8*x^4-8*x^3-4*x^2+1) ogf] A123960 11.3508 [-(-11+90*x+196*x^3-240*x^2)/(45*x^2+1-11*x+49*x^4-80*x^3) lgdogf] A123960 11.4073 [2*x^3/(49*x^4-80*x^3+45*x^2-11*x+1) ogf] A123960 6.31275 [-49*f(x)*x^4+80*f(x)*x^3-45*f(x)*x^2+2*x^3+11*f(x)*x-f(x) ogf] A123968 13.4035 [(3*x-1)*(x-2)/(x-1)^3 ogf] A123968 23.0250 [-(-1-8*x+3*x^2)/(x-1)/(x-2)/(3*x-1) lgdogf] A123968 7.04839 [(284*f(x)-1617)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+7*x-2) ogf] A123968 7.30011 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-2,a(1)=1,a(2)=6} ogf] A123972 10.5603 [-(x^3-11*x^2+5*x-1)/(x-1)^4 ogf] A123972 18.4641 [-(1-7*x+x^3-19*x^2)/(x-1)/(x^3-11*x^2+5*x-1) lgdogf] A123972 5.6418 [(21654*f(x)+69365)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-11*x^2+f(x)+5*x-1) ogf] A123975 10.2333 [-(-x^14-x^6+x^5-1)/(-x^16+x^15-x+1) ogf_with_Euler_transform] A123977 7.11827 [(5-3*x-44*x^6+24*x^5-74*x^19+36*x^20+20*x^7+36*x^11-69*x^12+33*x^13+38*x^18)/(x-1)/(2*x^20-2*x^19+3*x^13-3*x^12+4*x^7-4*x^6+3*x-4) lgdogf] A123977 9.71743 [-(2*x^20-2*x^19+3*x^13-3*x^12+4*x^7-4*x^6+3*x-4)/(x-1)^2 ogf] A123991 9.65035 [-2*(1+5*x+10*x^6-4*x^5-8*x^4+7*x^3+9*x^7+10*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^2+1) lgdogf] A123999 7.33730 [(x+1)^4*(x^2-x+1)^4*(x^6-x^3+x+1)^4 ogf] A124007 20.4608 [-4/(-1+x) lgdogf] A124007 3.51044 [54*x^2/(x-1)^4 ogf] A124008 6.75896 [-3*(7+8*x)/(8*x+1)/(-1+x) lgdogf] A124011 13.5257 [-(5*x^2-7*x+5)/(x-1)^3 ogf] A124011 23.8088 [-(8-4*x+5*x^2)/(x-1)/(5*x^2-7*x+5) lgdogf] A124011 7.17449 [-(5*f(x)-1)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-7*x+5) ogf] A124011 7.30147 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=8,a(2)=14} ogf] A124023 18.4889 [1/(2*x+1)/(2*x^2-4*x+1) ogf] A124023 19.0990 [-2*(-1-6*x+6*x^2)/(2*x+1)/(2*x^2-4*x+1) lgdogf] A124023 6.70835 [{a(n+3)-2*a(n+2)-6*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A124023 7.43179 [(433*f(x)+62)*(4*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A124024 15.0524 [-2*(1-9*x+10*x^3-15*x^2)/(x^2-3*x+1)/(5*x^2+5*x+1) lgdogf] A124024 15.7239 [1/(x^2-3*x+1)/(5*x^2+5*x+1) ogf] A124024 5.83304 [(14571*f(x)+220)*(5*f(x)*x^4-10*f(x)*x^3-9*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A124026 11.4891 [-x*(3*x-2)/(2*x+1)/(2*x^2-4*x+1) ogf] A124026 12.1718 [-(1+24*x+24*x^3-42*x^2)/(1+2*x)/(3*x-2)/(2*x^2-4*x+1) lgdogf] A124026 5.84712 [(4550*f(x)-459)*(4*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-2*x) ogf] A124026 5.89980 [{a(n+3)-2*a(n+2)-6*a(n+1)+4*a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A124062 9.56244 [-(1+2*x-4*x^4+3*x^8+2*x^7+x^6-2*x^3-6*x^5)/(x-1)/(x^2+x+1)/(x^3+x^2-1)/(x^3+x-1) lgdogf] A124062 9.62778 [-(x-1)*(x^2+x+1)/(x^3+x^2-1)/(x^3+x-1) ogf] A124072 7.32984 [x*(x^3+x^2+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A124072 7.43069 [-x*(4+3*x^5+4*x^4+2*x^3+8*x^2+3*x)/(-1+x)/(x+1)/(1+x^2)/(1+x^3+x^2) lgdogf] A124080 10.5042 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+10*x ogf] A124080 100.980 [-3/(x-1) lgdogf] A124080 17.8115 [-10*x/(x-1)^3 ogf] A124080 7.25070 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=30} ogf] A124087 4.19083 [(429*x^7-3432*x^6+11880*x^5-23100*x^4+27300*x^3-19656*x^2+8008*x-1430)/(x-1)^9 ogf] A124087 5.93163 [{(n^2+21*n+54)*a(n+1)+(-n^2-13*n-22)*a(n+2),a(0)=1430,a(1)=4862} ogf] A124088 3.44772 [(1430*x^8-12870*x^7+51051*x^6-116688*x^5+168300*x^4-157080*x^3+92820*x^2-31824*x+4862)/(x-1)^10 ogf] A124088 5.71111 [{(n^2+23*n+60)*a(n+1)+(-n^2-14*n-24)*a(n+2),a(0)=4862,a(1)=16796} ogf] A124089 4.81079 [{(n+8)*a(n+1)+(-2*n-11)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=6,a(2)=27} ogf] A124089 5.67523 [x*(x-2)*(x^2-x+1)*(x^2-3*x+3)/(x-1)^7 ogf] A124089 9.94238 [-(-27+50*x+2*x^5-13*x^4+36*x^3-55*x^2)/(x-1)/(x-2)/(x^2-x+1)/(x^2-3*x+3) lgdogf] A124090 4.70515 [{(n+9)*a(n+1)+(-2*n-12)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=7,a(2)=35} ogf] A124090 4.86628 [x*(x^6-7*x^5+21*x^4-35*x^3+35*x^2-21*x+7)/(x-1)^8 ogf] A124090 7.69318 [-(35-77*x+2*x^6-15*x^5+105*x^2-91*x^3+49*x^4)/(x-1)/(x^6-7*x^5+21*x^4-35*x^3+35*x^2-21*x+7) lgdogf] A124093 11.7222 [-x^2*(x^3+x+1)/(x-1)^3/(x+1)^3 ogf] A124093 20.1792 [-(1+6*x+8*x^2+3*x^4)/(x-1)/(x+1)/(x^3+x+1) lgdogf] A124099 11.5525 [-1/(12*x-1)/(13*x-1)/(5*x-1) ogf] A124099 3.85082 [(252428845001*f(x)-115646497200)*(780*f(x)*x^3-281*f(x)*x^2+30*f(x)*x-f(x)+1) ogf] A124099 4.04336 [{a(n+3)-30*a(n+2)+281*a(n+1)-780*a(n),a(0)=1,a(1)=30,a(2)=619} ogf] A124099 9.87735 [-2*(15-281*x+1170*x^2)/(12*x-1)/(13*x-1)/(5*x-1) lgdogf] A124100 10.5245 [-2*(20-511*x+3060*x^2)/(17*x-1)/(15*x-1)/(-1+8*x) lgdogf] A124100 12.2510 [-1/(17*x-1)/(15*x-1)/(8*x-1) ogf] A124100 4.08366 [(4078081045951*f(x)-2580870340800)*(2040*f(x)*x^3-511*f(x)*x^2+40*f(x)*x-f(x)+1) ogf] A124100 4.31797 [{a(n+3)-40*a(n+2)+511*a(n+1)-2040*a(n),a(0)=1,a(1)=40,a(2)=1089} ogf] A124101 11.8413 [-2*(28-943*x+6300*x^2)/(25*x-1)/(24*x-1)/(7*x-1) lgdogf] A124101 13.4761 [-1/(25*x-1)/(24*x-1)/(7*x-1) ogf] A124101 4.74976 [{a(n+3)-56*a(n+2)+943*a(n+1)-4200*a(n),a(0)=1,a(1)=56,a(2)=2193} ogf] A124101 5.71505 [(152030065527343*f(x)-38761201080000)*(4200*f(x)*x^3-943*f(x)*x^2+56*f(x)*x-f(x)+1) ogf] A124124 7.84912 [-(2+8*x+x^8-x^6-4*x^5+2*x^7+5*x^4-14*x^3-7*x^2)/(-1+x)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+x^3-2*x^2+x+1) lgdogf] A124124 8.41882 [-(x^4+x^3-2*x^2+x+1)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A124125 5.04260 [-(68*x^4-597*x^3+346*x^2-51*x+2)/(5*x-1)/(16*x^2-12*x+1)/(x^2-18*x+1) ogf] A124133 10.7267 [x*(2*x-5)/(4*x-1)/(x-1)^2 ogf] A124133 14.6833 [-2*(14-31*x+8*x^2)/(2*x-5)/(x-1)/(-1+4*x) lgdogf] A124133 5.27087 [(77769*f(x)-111878)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-2*x^2-f(x)+5*x) ogf] A124133 5.45912 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=0,a(1)=5,a(2)=28} ogf] A124152 10.2036 [-(35+115*x+8*x^4+49*x^3+153*x^2)/(x-1)/(4*x^4+11*x^3+30*x^2+11*x+4) lgdogf] A124152 6.93148 [2*x*(4*x^4+11*x^3+30*x^2+11*x+4)/(x-1)^6 ogf] A124156 9.62628 [(x^16-x^14-x^10+x^8-x^6+x^4+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A124157 5.37098 [-3/(-1+x) lgdogf] A124158 11.0547 [(3+3*x-11*x^6+3*x^5+3*x^4+3*x^3+5*x^7+3*x^2)/(x-1)/(x^7-x^6-x^5-x^4-x^3-x^2-x-1) lgdogf] A124158 9.24392 [-x*(x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)^2 ogf] A124161 15.5897 [-3*(-5+3*x+2*x^3-2*x^2)/(x-1)/(2*x^3-3*x^2+3*x-3) lgdogf] A124161 4.31355 [{(79*n^2+499*n+682)*a(n+1)+(-166*n^2-584*n+210)*a(n+2)+(87*n^2+45*n-42)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A124161 7.71462 [-x^2*(2*x^3-3*x^2+3*x-3)/(x-1)^6 ogf] A124166 11.1520 [-1/20*(-11*x-100+(81*x^2+2200*x+10000)^(1/2))/x revogf] A124166 12.9913 [100*x/(10*x-1)/(x-1) ogf] A124166 20.1594 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A124166 6.26639 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=100} ogf] A124166 8.45467 [-10*f(x)*x^2+11*f(x)*x-f(x)+100*x ogf] A124167 12.3498 [-1/20*(-90-11*x+3*(900+220*x+9*x^2)^(1/2))/x revogf] A124167 13.8015 [90*x/(10*x-1)/(x-1) ogf] A124167 20.8996 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A124167 6.57215 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=0,a(1)=90} ogf] A124167 8.90421 [-10*f(x)*x^2+11*f(x)*x-f(x)+90*x ogf] A124174 6.26202 [-(10+70*x+3*x^6+34*x^5-616*x^3-56*x^4+203*x^2)/(x-1)/(x^2+6*x+1)/(x^2+1-6*x)/(x^2+9*x+1) lgdogf] A124174 9.07467 [-x*(x^2+9*x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A124191 10.4394 [1/28*(-4*x-3+(24*x^2+8*x+3)^(1/2)*3^(1/2))/x revogf] A124191 11.9671 [-14*f(x)*x^2-4*f(x)*x+f(x)-3*x ogf] A124191 12.3202 [-3*x/(14*x^2+4*x-1) ogf] A124191 18.3733 [-4*(1+7*x)/(14*x^2-1+4*x) lgdogf] A124191 5.70934 [{-a(n+2)+4*a(n+1)+14*a(n),a(0)=0,a(1)=3} ogf] A124217 11.0400 [-(x^2+x-1)/(x^4-x^2-2*x+1) ogf] A124217 12.6891 [-(1+x^2-4*x^3+3*x^4+2*x^5)/(x^2+x-1)/(x^4-x^2-2*x+1) lgdogf] A124217 7.56671 [f(x)*x^4-f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1 ogf] A124242 9.28538 [-(-x^6+x^5+x^4-x^2-x+1)/(x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A124243 9.23317 [-(x^7-x^6+x^5-x^4+x^3-x^2+x-1)/(-x^9-1) ogf_with_Euler_transform] A124280 14.7120 [-1/(x^4-x^3+x^2+x-1) ogf] A124280 17.0392 [-(1+2*x+4*x^3-3*x^2)/(x^2-1+x+x^4-x^3) lgdogf] A124280 5.47141 [-(f(x)-1)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A124281 15.3593 [-1/(2*x^4-2*x^3+2*x^2+x-1) ogf] A124281 15.3878 [-(1+4*x-6*x^2+8*x^3)/(2*x^2-1+x+2*x^4-2*x^3) lgdogf] A124281 5.71212 [-(3*f(x)+2)*(2*f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A124292 11.5093 [-(1-8*x+15*x^4-30*x^3+24*x^2)/(5*x^2-5*x+1)/(3*x^3-9*x^2+6*x-1) lgdogf] A124292 12.1028 [-(5*x^2-5*x+1)/(3*x^3-9*x^2+6*x-1) ogf] A124292 6.41972 [-(3*f(x)-7)*(3*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A124292 6.59168 [{-a(n+3)+6*a(n+2)-9*a(n+1)+3*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A124293 5.2039 [(5*f(x)+12)*(11*f(x)*x^4-37*f(x)*x^3+32*f(x)*x^2+19*x^3-10*f(x)*x-24*x^2+f(x)+9*x-1) ogf] A124293 7.29040 [-(1-16*x+102*x^2-330*x^3+577*x^4-528*x^5+209*x^6)/(19*x^3-24*x^2+9*x-1)/(11*x^4-37*x^3+32*x^2-10*x+1) lgdogf] A124293 9.02847 [-(19*x^3-24*x^2+9*x-1)/(11*x^4-37*x^3+32*x^2-10*x+1) ogf] A124294 5.67374 [-(91*x^4-135*x^3+68*x^2-14*x+1)/(53*x^5-189*x^4+192*x^3-81*x^2+15*x-1) ogf] A124295 4.66734 [-(531*x^5-881*x^4+535*x^3-151*x^2+20*x-1)/(309*x^6-1157*x^5+1314*x^4-669*x^3+170*x^2-21*x+1) ogf] A124296 6.17972 [-(x^5+9*x^4-15*x^3+x^2+3*x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A124297 6.07463 [-(11*x^5-21*x^4-15*x^3+31*x^2-7*x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A124302 11.2575 [3*f(x)*x^2-4*f(x)*x-x^2+f(x)+3*x-1 ogf] A124302 15.0808 [(x^2-3*x+1)/(3*x-1)/(x-1) ogf] A124302 19.6419 [(1-4*x+5*x^2)/(x-1)/(-1+3*x)/(x^2-3*x+1) lgdogf] A124302 7.83610 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=1,a(1)=1,a(2)=2} ogf] A124303 10.4996 [(3*x^3-9*x^2+6*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A124303 5.52611 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A124303 7.49971 [8*f(x)*x^3-14*f(x)*x^2-3*x^3+7*f(x)*x+9*x^2-f(x)-6*x+1 ogf] A124303 9.31541 [(1-10*x+30*x^4-54*x^3+36*x^2)/(x-1)/(2*x-1)/(4*x-1)/(3*x^3-9*x^2+6*x-1) lgdogf] A124311 19.2783 [-2*a(n)+(-1-n)*a(n+1),a(0)=-1,a(1)=4 lgdegf] A124312 13.5903 [-2*x*(-1-x^3-x^2+2*x^4-x)/(x-1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A124312 9.40092 [x^2*(x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A124313 11.1425 [-2*x^3*(2*x^3-x-2+3*x^2+x^4)/(x^3+x^2+x-1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A124313 8.43181 [(x^3+x^2+x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A124314 11.3816 [1/(x^5-x^4-x^3-x^2-x-1) ogf] A124314 15.0196 [-(-1-2*x-3*x^2-4*x^3+5*x^4)/(-x^2-1-x-x^4-x^3+x^5) lgdogf] A124340 6.43530 [-(4*x^6+2*x^5+3*x^4+x^3+3*x^2+x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A124340 99.9999 Evaluated at exp(-Pi) 1/128*exp(Pi)/Pi*2^(1/2)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))*(2-2^(1/2))^(1/2) A124342 13.8820 [-(x+1)/(2*x^3-2*x-1) ogf] A124342 16.1632 [-(2*x+1)*(2*x^2+2*x-1)/(x+1)/(2*x^3-2*x-1) lgdogf] A124342 6.64563 [{a(n+3)+2*a(n+2)-2*a(n),a(0)=1,a(1)=-1,a(2)=2} ogf] A124342 9.9157 [-2*f(x)*x^3+2*f(x)*x+f(x)-x-1 ogf] A124349 14.1274 [-2*(4*x^2-3*x-3)/(x+1)/(x-1)^2 ogf] A124349 17.9829 [-2*(-3-2*x+2*x^3-x^2)/(x-1)/(x+1)/(4*x^2-3*x-3) lgdogf] A124349 7.18143 [-(182*f(x)+4175)*(f(x)*x^3-f(x)*x^2-f(x)*x+8*x^2+f(x)-6*x-6) ogf] A124349 7.55939 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=12,a(2)=10} ogf] A124350 11.7373 [-2*(3+9*x+7*x^4+10*x^3+x^5+18*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+4*x+1) lgdogf] A124350 7.34328 [4*x*(x^2+1)*(x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A124351 13.0000 [4*(8*x^3-16*x^2+6*x+3)/(x-1)^2 ogf] A124351 16.5765 [2*(2*x-3)*(2*x^2-3*x+2)/(x-1)/(8*x^3-16*x^2+6*x+3) lgdogf] A124351 7.16099 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=12,a(1)=48,a(2)=20,a(3)=24} ogf] A124351 7.6818 [(703*f(x)+4160)*(f(x)*x^2-32*x^3-2*f(x)*x+64*x^2+f(x)-24*x-12) ogf] A124352 5.02719 [-4*(14*x^8+15*x^7-41*x^6-73*x^5+61*x^4+84*x^3-60*x^2-96*x+60)/(x^3+2*x^2+x-1)^2/(x-1)^3 ogf] A124353 11.1811 [-2*(3*x^4-4*x^3-8*x^2+3)/(x^3+2*x^2+x-1)/(x-1)^2 ogf] A124353 8.76455 [-(-29+9*x^7+33*x-12*x^5+15*x^6+56*x^2-38*x^3-70*x^4)/(x-1)/(x^3+2*x^2+x-1)/(9*x^4+3*x^3-15*x^2-19*x+16) lgdogf] A124354 11.4189 [-f(x)*x^2+2*f(x)*x+36*x^2-f(x)-80*x+48 ogf] A124354 15.0892 [4*(9*x^2-20*x+12)/(x-1)^2 ogf] A124354 27.6275 [2*(-2+x)/(x-1)/(9*x^2-20*x+12) lgdogf] A124354 8.04759 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=48,a(1)=16,a(2)=20} ogf] A124355 12.787 [f(x)*x+x^2-f(x) egf] A124355 19.8419 [-x^2/(x-1) egf] A124355 5.87157 [{(-n-2)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A124355 71.1657 [-1/(x-1) lgdegf] A124356 14.1811 [-2*(2*x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A124356 18.8536 [-2*(-2-x+x^3-2*x^2)/(x-1)/(x+1)/(2*x^2-3*x-1) lgdogf] A124356 7.20873 [-(118*f(x)+1099)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-6*x-2) ogf] A124356 7.72363 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=8,a(2)=6} ogf] A124363 13.6366 [-(73-63*x+71*x^3-57*x^2)/(x-1)/(71*x^3-135*x^2+69*x+1) lgdogf] A124363 5.07453 [(299*f(x)+107449)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-71*x^3-4*f(x)*x+135*x^2+f(x)-69*x-1) ogf] A124363 9.27198 [(71*x^3-135*x^2+69*x+1)/(x-1)^4 ogf] A124370 14.0940 [-1/(x^4+3*x^3+2*x^2-1) ogf] A124370 16.8604 [-x*(4+4*x^2+9*x)/(-1+2*x^2+3*x^3+x^4) lgdogf] A124370 5.9833 [-(109*f(x)-24)*(f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2-f(x)+1) ogf] A124388 18.0293 [9*(x+2)/(x-1)^2 ogf] A124388 27.1233 [-(-9-x+3*(9+3*x)^(1/2))/(-9+x) revogf] A124388 45.2056 [-(5+x)/(x+2)/(x-1) lgdogf] A124388 9.21499 [(26*f(x)+1407)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-18) ogf] A124388 9.87319 [{-a(n+2)+2*a(n+1)-a(n),a(0)=18,a(1)=45} ogf] A124395 16.0671 [-(2*x-1)/(2*x^3-2*x+1) ogf] A124395 22.1333 [-2*x^2*(4*x-3)/(2*x-1)/(2*x^3-2*x+1) lgdogf] A124395 7.85891 [{-a(n+3)+2*a(n+2)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A124395 8.50612 [(f(x)-1)*(2*f(x)*x^3-2*f(x)*x+f(x)+2*x-1) ogf] A124400 17.4212 [1/(x+1)/(x^3-x^2-2*x+1) ogf] A124400 18.9334 [-(-1-6*x+4*x^3)/(x+1)/(x^3-x^2-2*x+1) lgdogf] A124400 7.14269 [(25*f(x)+2)*(f(x)*x^4-3*f(x)*x^2-f(x)*x+f(x)-1) ogf] A124427 21.9807 [(exp(x)*x+exp(x)+x+2)/(x+1) lgdegf] A124429 4.38212 [(5*f(x)-4)*(f(x)^2*x^4-f(x)^2*x^3+2*f(x)^2*x^2+f(x)*x^3-f(x)^2*x-f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A124431 5.72561 [-f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x-f(x)*x^2+4*f(x)*x-f(x)+1 ogf] A124436 5.75989 [8-12*f(x)+6*f(x)^2-f(x)^3 lgdegf] A124437 15.6729 [-100*x/(x-1)^3 ogf] A124437 6.40546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=100,a(2)=300} ogf] A124437 9.3244 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+100*x ogf] A124437 90.7244 [-3/(x-1) lgdogf] A124449 14.9814 [-(-4*x^5-3*x^4-2*x^2-3)/(x^6-1) ogf_with_Euler_transform] A124479 17.0979 [-(11+8*x+6*x^3-15*x^2)/(x-1)/(3*x^3-8*x^2+6*x+1) lgdogf] A124479 4.28784 [{(-119*n^2-865*n-1254)*a(n+1)+(232*n^2+1166*n+780)*a(n+2)+(-113*n^2-325*n-198)*a(n+3),a(0)=0,a(1)=1,a(2)=11} ogf] A124479 9.14110 [-x*(3*x^3-8*x^2+6*x+1)/(x-1)^5 ogf] A124502 13.2437 [-(-1-2*x+7*x^6+6*x^5-5*x^4)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1) lgdogf] A124502 15.5211 [1/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1) ogf] A124504 40.2553 [-1/2*x^2+exp(x) lgdegf] A124593 4.08066 [-(x^15+x^14-x^13-4*x^12-3*x^11+3*x^10+5*x^9+4*x^8-2*x^7-3*x^6-3*x^5-x^4+2*x^3+x^2-1)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A124610 13.1884 [(4*x-1)/(2*x^2+5*x-1) ogf] A124610 14.5279 [1/4*(-1-5*x+(1-6*x+33*x^2)^(1/2))/(-2+x) revogf] A124610 15.7058 [-(-1-4*x+8*x^2)/(4*x-1)/(2*x^2+5*x-1) lgdogf] A124610 6.82161 [(51*f(x)-50)*(2*f(x)*x^2+5*f(x)*x-f(x)-4*x+1) ogf] A124610 7.23756 [{-a(n+2)+5*a(n+1)+2*a(n),a(0)=1,a(1)=1} ogf] A124615 17.3602 [-2*(2+8*x+9*x^3+11*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A124615 37.5851 [(x+2)^2 egf]_with_Euler_transform] A124625 15.4807 [(2*x^3-x^2+1)/(x+1)^2/(x-1)^2 ogf] A124625 20.2382 [-2*x*(1+x^3-x^2+3*x)/(x-1)/(x+1)/(2*x^3-x^2+1) lgdogf] A124625 9.25806 [-(8*f(x)+21)*(f(x)*x^4-2*f(x)*x^2-2*x^3+x^2+f(x)-1) ogf] A124630 3.87472 [-(x^10+3*x^6+x^5+3*x^4+1)/(x^2+1)/(x^2+x+1)^3/(x+1)^4/(x-1)^7 ogf] A124647 14.2659 [(3*x+1)/(3*x-1)^2 ogf] A124647 17.0069 [-1/6*(-1-6*x+(1+24*x)^(1/2))/(-1+3*x) revogf] A124647 26.2189 [-9*(x+1)/(3*x-1)/(1+3*x) lgdogf] A124647 7.37893 [(16*f(x)+65)*(9*f(x)*x^2-6*f(x)*x+f(x)-3*x-1) ogf] A124647 7.82885 [{-a(n+2)+6*a(n+1)-9*a(n),a(0)=1,a(1)=9} ogf] A124657 12.6786 [-(6^(1/2)-(36+6*x)^(1/4))/(36+6*x)^(1/4) revegf] A124657 5.69755 [{(-n-6)*a(n+1)+a(n+2),a(0)=24,a(1)=120} ogf] A124657 63.3931 [-5/(x-1) lgdegf] A124657 8.64128 [-24/(x-1)^5 egf] A124671 10.1355 [-(3*x^2-3*x+1)/(2*x-1)/(x-1)^4 ogf] A124671 14.8437 [-(-3+13*x+18*x^3-24*x^2)/(-1+x)/(2*x-1)/(3*x^2-3*x+1) lgdogf] A124696 10.4645 [-(2*x^3+x^2-1)/(x^2+2*x-1)/(x-1) ogf] A124696 11.6969 [(-3+4*x+x^4-12*x^3+6*x^2)/(x-1)/(x^2+2*x-1)/(2*x^3+x^2-1) lgdogf] A124696 5.11425 [{a(n+4)-3*a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15} ogf] A124696 5.91473 [(f(x)+7)*(f(x)*x^3+f(x)*x^2+2*x^3-3*f(x)*x+x^2+f(x)-1) ogf] A124697 5.40464 [-(5*f(x)+13)*(f(x)*x^4-2*f(x)*x^3+3*x^4-3*f(x)*x^2-4*x^3+4*f(x)*x-3*x^2-f(x)+1) ogf] A124697 7.37640 [-2*(2-6*x-3*x^2+24*x^3-21*x^4+6*x^5+x^6)/(x^2-3*x+1)/(x^2+x-1)/(3*x^4-4*x^3-3*x^2+1) lgdogf] A124697 9.74170 [-(3*x^4-4*x^3-3*x^2+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A124698 4.43929 [-(f(x)+18)*(4*f(x)*x^4-2*f(x)*x^3+12*x^4-6*f(x)*x^2-4*x^3+5*f(x)*x-6*x^2-f(x)+1) ogf] A124698 6.59168 [-(5-24*x+12*x^2+104*x^3-192*x^4+96*x^5+8*x^6)/(x-1)/(-1+2*x)/(2*x^2+2*x-1)/(12*x^4-4*x^3-6*x^2+1) lgdogf] A124698 7.95824 [-(12*x^4-4*x^3-6*x^2+1)/(x-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A124699 6.15781 [-(5*x^6+8*x^5-27*x^4+10*x^2-1)/(x^3+3*x^2-4*x+1)/(x^3-x^2-2*x+1) ogf] A124700 4.62362 [-(2*x-1)*(3*x^6-6*x^5-21*x^4+12*x^3+11*x^2-2*x-1)/(x-1)/(x^2+2*x-1)/(x^4-4*x^3-2*x^2+4*x-1) ogf] A124701 4.57072 [-(36*x^7-15*x^6-96*x^5+60*x^4+28*x^3-21*x^2+1)/(2*x-1)/(x^3-3*x+1)/(3*x^3-3*x+1) ogf] A124702 3.66769 [-(8*x^9+21*x^8-108*x^7-30*x^6+196*x^5-63*x^4-56*x^3+28*x^2-1)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^4+6*x^3+x^2-4*x+1) ogf] A124720 12.7227 [(3*x-2)/(2*x^2-1)/(2*x-1)^2 ogf] A124720 15.8822 [-(5+2*x+36*x^3-38*x^2)/(2*x-1)/(3*x-2)/(2*x^2-1) lgdogf] A124720 3.86110 [{(4*n+32)*a(n+1)+(-2*n-14)*a(n+2)+(-2*n-16)*a(n+3)+(n+7)*a(n+4),a(0)=2,a(1)=5,a(2)=16,a(3)=38} ogf] A124720 6.15937 [(551*f(x)-4851)*(8*f(x)*x^4-8*f(x)*x^3-2*f(x)*x^2+4*f(x)*x-f(x)-3*x+2) ogf] A124721 13.2635 [-2*(2-x+8*x^4-13*x^3+3*x^2)/(x-1)/(2*x-1)/(2*x^3-1) lgdogf] A124721 7.66406 [2*(x-1)^2/(2*x^3-1)/(2*x-1)^3 ogf] A124722 10.4686 [-(-9+x+60*x^4-138*x^3+84*x^2)/(x-1)/(2*x-1)/(3*x-2)/(2*x^2-1) lgdogf] A124722 6.03352 [-(3*x-2)*(x-1)^2/(2*x^2-1)^2/(2*x-1)^4 ogf] A124723 4.32809 [2*(3*x^2-2*x+1)*(x-1)^2/(2*x^5-1)/(2*x-1)^5 ogf] A124723 6.67746 [-2*(3-5*x+5*x^4-3*x^3+36*x^8-79*x^7+65*x^6-31*x^5+7*x^2)/(x-1)/(2*x-1)/(3*x^2-2*x+1)/(2*x^5-1) lgdogf] A124724 20.8292 [1-x-(-1+x)^(5/4)*(-1)^(3/4) revogf] A124745 12.5017 [(x+1)/(x^3-x^2+1) ogf] A124745 17.6706 [-(-1-2*x+2*x^3+2*x^2)/(1+x)/(x^3-x^2+1) lgdogf] A124745 6.51683 [{-a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A124745 6.88295 [-(f(x)-3)*(f(x)*x^3-f(x)*x^2+f(x)-x-1) ogf] A124746 12.6269 [(x^2+1)/(x^5-x^4+1) ogf] A124746 14.6422 [-x*(x-1)*(3*x^4+x^3+6*x^2+2*x+2)/(x^2+1)/(x^5-x^4+1) lgdogf] A124746 7.19596 [-(2*f(x)-1)*(f(x)*x^5-f(x)*x^4-x^2+f(x)-1) ogf] A124750 10.1324 [f(x)*x^4-f(x)*x^3-x^2+f(x)-x-1 ogf] A124750 12.6211 [(x^2+x+1)/(x^4-x^3+1) ogf] A124750 15.5300 [-(x-1)*(2*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^4-x^3+1) lgdogf] A124750 6.78681 [{a(n+4)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A124751 10.7826 [(x^2+x+1)*(x^2-x+1)/(x^7-x^6+1) ogf] A124751 9.43978 [-x*(-2+5*x^7-4*x^6+7*x^5-2*x^8+3*x^9-4*x^2-6*x^4)/(x^2+x+1)/(x^2-x+1)/(x^7-x^6+1) lgdogf] A124779 10.6372 [(36*x^35-36*x^34+12*x^11-12*x^10+4*x^3-3*x^2-x-1)/(x-1) ogf] A124779 7.35362 [(2+6*x+8*x^3-15*x^2+120*x^9-240*x^10+120*x^11+1224*x^35-2448*x^34+1224*x^33)/(x-1)/(36*x^35-36*x^34+12*x^11-12*x^10+4*x^3-3*x^2-x-1) lgdogf] A124789 14.8323 [-(x^2+1)/(x^5+x^4-1) ogf] A124789 14.9601 [-x*(x+1)*(3*x^4-x^3+6*x^2-2*x+2)/(x^2+1)/(x^5+x^4-1) lgdogf] A124789 8.45284 [-(2*f(x)-1)*(f(x)*x^5+f(x)*x^4+x^2-f(x)+1) ogf] A124791 19.7829 [(-1+x-x^2+(4*x+1)^(1/2))/(3+x^2) revogf] A124791 6.53051 [-f(x)^2*x^3-2*f(x)^2*x^2-f(x)^2*x+2*f(x)*x+2*f(x)-3*x-2 ogf] A124793 5.0312 [(2578*f(x)-103)*(32*f(x)*x^3+32*f(x)*x^2-f(x)*x+8*x^2-f(x)+6*x+1) ogf] A124793 5.16244 [{a(n+3)+a(n+2)-32*a(n+1)-32*a(n),a(0)=1,a(1)=5,a(2)=35} ogf] A124793 8.67915 [-(5+80*x+296*x^2+384*x^3+256*x^4)/(4*x+1)/(2*x+1)/(x+1)/(-1+32*x^2) lgdogf] A124793 9.42351 [-(2*x+1)*(4*x+1)/(x+1)/(32*x^2-1) ogf] A124805 4.55363 [{a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=4,a(2)=14,a(3)=46} ogf] A124805 5.00153 [-(34*f(x)+113)*(2*f(x)*x^3+f(x)*x^2+4*x^3-4*f(x)*x+x^2+f(x)-1) ogf] A124805 9.38748 [-(4*x^3+x^2-1)/(x-1)/(2*x^2+3*x-1) ogf] A124805 9.79465 [2*(-2+2*x+7*x^2-16*x^3+x^4)/(x-1)/(2*x^2+3*x-1)/(4*x^3+x^2-1) lgdogf] A124806 5.91058 [(-5+12*x-32*x^6+35*x^4-116*x^3+68*x^5+30*x^2-20*x^7+x^8)/(x^2+x-1)/(4*x^5+3*x^4-10*x^3-3*x^2+1)/(x^3-4*x+1) lgdogf] A124806 6.58310 [-(4*x^5+3*x^4-10*x^3-3*x^2+1)/(x^2+x-1)/(x^3-4*x+1) ogf] A124807 5.31670 [-(5*x^6-8*x^5-15*x^4+16*x^3+6*x^2-1)/(x^3-x^2-4*x+1)/(x^3-x^2-2*x+1) ogf] A124810 10.1899 [3*(2*x-1)/(3*x^2-1)/(3*x-1)^2 ogf] A124810 13.6794 [-2*(2+27*x^3-21*x^2)/(3*x-1)/(2*x-1)/(3*x^2-1) lgdogf] A124810 4.93821 [-(25*f(x)-101)*(27*f(x)*x^4-18*f(x)*x^3-6*f(x)*x^2+6*f(x)*x-f(x)-6*x+3) ogf] A124811 8.15450 [(8*x^2-9*x+3)/(3*x^3-1)/(3*x-1)^3 ogf] A124811 8.22007 [-(-18+38*x-51*x^2+216*x^3-429*x^4+288*x^5)/(3*x-1)/(8*x^2-9*x+3)/(3*x^3-1) lgdogf] A124812 5.80747 [-3*(2*x-1)*(3*x^2-3*x+1)/(3*x^2-1)^2/(3*x-1)^4 ogf] A124812 8.19147 [-(7-15*x-504*x^4+351*x^3+270*x^5-81*x^2)/(3*x-1)/(2*x-1)/(3*x^2-3*x+1)/(3*x^2-1) lgdogf] A124813 4.10157 [3*(16*x^4-27*x^3+18*x^2-6*x+1)/(3*x^5-1)/(3*x-1)^5 ogf] A124817 9.05325 [-24-125*x+(24-15*x-225*x^2)*f(x)+(-135*x^3+20*x)*f(x)^2+(4*x^2-27*x^4)*f(x)^3 lgdogf] A124818 4.48669 [-f(x)^3*x^3-3*f(x)^3*x^2-2*f(x)^3*x+f(x)^3+2*f(x)^2*x+f(x)^2-2*f(x)*x-2*f(x)-x ogf] A124820 12.2332 [(x-1)/(x^3-3*x^2+4*x-1) ogf] A124820 14.1184 [-(-3+6*x+2*x^3-6*x^2)/(x-1)/(x^3-3*x^2+4*x-1) lgdogf] A124820 5.78895 [{a(n+3)-4*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A124820 6.29477 [(7*f(x)+2)*(f(x)*x^3-3*f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A124828 4.72597 [-(20*x^6-16*x^5-42*x^4+20*x^3+10*x^2-1)/(x-1)/(2*x^2+2*x-1)/(2*x^3-2*x^2-4*x+1) ogf] A124843 4.76325 [-(60*x^6-16*x^5-87*x^4+20*x^3+15*x^2-1)/(6*x^3+x^2-5*x+1)/(2*x^3-x^2-3*x+1) ogf] A124851 3.72106 [-(28*x^8+24*x^7-150*x^6-16*x^5+150*x^4-14*x^3-21*x^2+1)/(x+1)/(2*x^2-4*x+1)/(2*x^5+4*x^4-8*x^3-5*x^2+6*x-1) ogf] A124852 3.35007 [-(9*x^9+7*x^8-112*x^7-8*x^6+313*x^5-201*x^4-27*x^3+27*x^2+x-1)/(x-1)/(x+1)/(x^3+x^2-4*x+1)/(x^4-11*x^2+7*x-1) ogf] A124861 12.8470 [-1/(x^2+x+1)/(2*x^2+2*x-1) ogf] A124861 18.1271 [-(2*x+1)^3/(x^2+x+1)/(2*x^2+2*x-1) lgdogf] A124861 5.38038 [(5*f(x)-4)*(2*f(x)*x^4+4*f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)+1) ogf] A124862 5.21907 [-84+960*x-3072*x^2+(20-528*x-8192*x^3+3840*x^2)*f(x)+(-1-528*x^2+40*x+2560*x^3-4096*x^4)*f(x)^2 lgdogf] A124863 12.1010 [-(12*x^2-12*x+12)/(-x^4+1) ogf_with_Euler_transform] A124863 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi) A124867 12.7023 [-(x^6-x^5+x^3+8*x-10)/(x-1)^2 ogf] A124867 13.8449 [(12-8*x-3*x^2+4*x^6+x^3+5*x^4-9*x^5)/(x-1)/(x^6-x^5+x^3+8*x-10) lgdogf] A124869 5.60025 [-(625*x^10-125*x^7-39*x^6+65*x^5+7*x^4-13*x^3+2*x^2+x-1)/(25*x^4-8*x^2+1)/(25*x^4+8*x^2+1) ogf] A124870 7.64700 [(31250*x^6-500*x^3-25*x^2-10*x-1)/(50*x^2-1)/(50*x^2+1) ogf] A124925 8.01358 [-(-3-2*x-3*x^8+13*x^6+6*x^5-2*x^9-17*x^4-8*x^3+x^10-3*x^2)/(x-1)/(x^2+x+1)/(x^8-x^7-x^6-2*x^5+4*x^4+2*x^3-x^2-3*x-1) lgdogf] A124925 8.38010 [(x^8-x^7-x^6-2*x^5+4*x^4+2*x^3-x^2-3*x-1)/(x-1)^3/(x^2+x+1)^3 ogf] A124972 14.2220 [-(8*x^2+8*x+8)/(-x^4+1) ogf_with_Euler_transform] A124972 99.9999 Evaluated at exp(-Pi) 16*exp(-Pi) A124999 11.0987 [-(2*x-1)*(3*x^2+2*x+1)/(x-1)/(3*x^2+4*x-1) ogf] A124999 5.34383 [{a(n+4)-5*a(n+3)+a(n+2)+3*a(n+1),a(0)=1,a(1)=5,a(2)=23,a(3)=101} ogf] A124999 6.11371 [(63*f(x)+149)*(3*f(x)*x^3+f(x)*x^2+6*x^3-5*f(x)*x+x^2+f(x)-1) ogf] A124999 8.38997 [(-5+4*x+22*x^2-60*x^3+3*x^4)/(x-1)/(2*x-1)/(3*x^2+4*x-1)/(3*x^2+2*x+1) lgdogf] A125048 10.3110 [-8*(-253+256000*x)/(1024*x-1)/(1000*x-1) lgdogf] A125048 4.61134 [{a(n+2)-2024*a(n+1)+1024000*a(n),a(0)=0,a(1)=24} ogf] A125048 6.08162 [-1024000*f(x)*x^2+2024*f(x)*x-f(x)+24*x ogf] A125048 8.08704 [-1/256000*((3+506*x+3*x^2)^(1/2)*3^(1/2)-253*x-3)/x revogf] A125048 8.92834 [24*x/(1024*x-1)/(1000*x-1) ogf] A125061 8.53969 [-(-2*x^8+x^7-x^4+x^3-2*x^2-1)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A125079 5.68045 [-(-2*x^9+x^8-x^7-x^6-x^5-x^3+x^2-x-1)/(x^10+x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A125082 15.9872 [-(-3+20*x+66*x^2+36*x^3+x^4)/(x-1)/(x^4+16*x^3+6*x^2+2*x-1) lgdogf] A125082 9.90285 [-(x^4+16*x^3+6*x^2+2*x-1)/(x-1)^5 ogf] A125083 10.8438 [-2*(-2+15*x+x^5+134*x^2+176*x^3+36*x^4)/(x-1)/(2*x^5+31*x^4+76*x^3+10*x^2+2*x-1) lgdogf] A125083 7.60536 [(2*x^5+31*x^4+76*x^3+10*x^2+2*x-1)/(x-1)^6 ogf] A125095 6.32960 [-(2*x^5+2*x^4-x^3+x+2)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] A125095 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)/Pi^(1/2)*2^(1/4)/GAMMA(7/8)^2*GAMMA(5/8)^2*(2+2^(1/2))*(2-2^(1/2))^(1/2) A125107 3.93188 [{(-8*n^2-4*n)*a(n)+(6*n^2+6*n-6)*a(n+1)+(-n^2-2*n+3)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A125107 4.94376 [-4*f(x)^2*x^3+4*f(x)^2*x^2-4*f(x)*x^3-f(x)^2*x+10*f(x)*x^2-x^3-6*f(x)*x+f(x) ogf] A125116 12.7784 [-2*(16+65*x+26*x^2+x^3)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A125116 3.74896 [-(x^2+10*x+1)^2*(x+1)^3/(x-1)^9 ogf] A125128 20.6071 [-1/(2*x-1)/(x-1)^2 ogf] A125128 22.9255 [-2*(-2+3*x)/(2*x-1)/(x-1) lgdogf] A125128 6.74746 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A125128 7.40254 [(321*f(x)-236)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A125143 3.11993 [{(-81*n^3-486*n^2-972*n-648)*a(n+1)+(-14*n^3-105*n^2-265*n-225)*a(n+2)+(-n^3-9*n^2-27*n-27)*a(n+3),a(0)=1,a(1)=-3,a(2)=9} ogf] A125145 14.1247 [-(x+1)/(3*x^2+3*x-1) ogf] A125145 14.1568 [1/2/(1+3*x)*(-1-3*x+((1+3*x)*(1+7*x))^(1/2)) revogf] A125145 18.3205 [-(4+6*x+3*x^2)/(x+1)/(3*x^2+3*x-1) lgdogf] A125145 7.47777 [(9*f(x)-1)*(3*f(x)*x^2+3*f(x)*x-f(x)+x+1) ogf] A125145 7.75134 [{a(n+2)-3*a(n+1)-3*a(n),a(0)=1,a(1)=4} ogf] A125169 18.0389 [(x+15)/(x-1)^2 ogf] A125169 21.9976 [-1/2*(-15-2*x+(225+64*x)^(1/2))/(x-1) revogf] A125169 40.6955 [-(31+x)/(x+15)/(x-1) lgdogf] A125169 9.32349 [(32*f(x)+481)*(f(x)*x^2-2*f(x)*x+f(x)-x-15) ogf] A125169 9.87846 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15,a(1)=31} ogf] A125176 10.3113 [-(8*f(x)+1)*(2*f(x)*x+x^2-f(x)+x+1) ogf] A125176 18.1020 [-(x^2+x+1)/(2*x-1) ogf] A125176 25.0151 [(-3-2*x+2*x^2)/(2*x-1)/(x^2+x+1) lgdogf] A125176 9.69749 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=3,a(2)=7} ogf] A125187 4.5956 [-f(x)^2*x^3+2*f(x)^2*x^2-5*f(x)^2*x-f(x)*x^2+f(x)^2+9*f(x)*x-x^2-2*f(x)-4*x+1 ogf] A125189 5.66254 [f(x)^2*x^4+f(x)^2*x^3+f(x)*x^4+f(x)^2*x^2+x^4-f(x)^2*x+2*x^3+2*x^2-f(x)+2*x+1 ogf] A125190 5.61125 [f(x)^2*x^2-f(x)*x^3-6*f(x)^2*x+8*f(x)*x^2+f(x)^2-13*f(x)*x+2*f(x)-2*x ogf] A125196 5.70231 [(x^4+x^3+6*x^2+x+1)/(x+1)/(x-1)^6 ogf] A125196 9.20934 [-3*(2+8*x+13*x^3+13*x^2+3*x^4+x^5)/(x-1)/(x+1)/(x^4+x^3+6*x^2+x+1) lgdogf] A125198 6.99031 [-(x^4+2*x^3+6*x^2+2*x+1)/(x+1)/(x-1)^7 ogf] A125198 9.46800 [-4*(2+8*x+14*x^2+13*x^3+4*x^4+x^5)/(x-1)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A125200 11.2562 [(x^2+9*x+2)/(x-1)^4 ogf] A125200 22.4124 [-(17+29*x+2*x^2)/(x-1)/(x^2+9*x+2) lgdogf] A125200 3.86405 [{(2*n+8)*a(n+4)+(4+7*n)*a(n+3)+(-45-8*n)*a(n+2)+(-3-n)*a(n+1),a(0)=2,a(1)=17,a(2)=57,a(3)=134} ogf] A125200 5.31969 [(174438144*f(x)+1202721949)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-9*x-2) ogf] A125201 13.2447 [-(x^2+13*x+2)/(x-1)^3 ogf] A125201 24.4252 [-(19+28*x+x^2)/(x-1)/(x^2+13*x+2) lgdogf] A125201 6.67617 [(680704*f(x)-5946593)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+13*x+2) ogf] A125201 7.20324 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=19,a(2)=52} ogf] A125202 16.6098 [-(x^2+8*x-1)/(x-1)^3 ogf] A125202 32.2979 [-(5+18*x+x^2)/(x-1)/(x^2+8*x-1) lgdogf] A125202 8.65985 [(1016*f(x)-4171)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+8*x-1) ogf] A125202 8.96637 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=5,a(2)=19} ogf] A125267 5.59524 [f(x)^2*x^3-3*f(x)^2*x^2+f(x)*x^3+f(x)^2*x-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-2*x-1 ogf] A125299 4.21195 [-(x^15-x^14+x^9-x^8+x^7-x^6+x-2)/(x-1)^2 ogf] A125301 6.38430 [x^3*(x^8+x^7+x^6-4*x^5-4*x^4-2*x^3+9*x^2+3*x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A125301 6.50091 [-(3+18*x-25*x^6+70*x^4+17*x^3-12*x^5+6*x^2-20*x^7+6*x^8+5*x^9+4*x^10)/(x-1)/(x^2+x+1)/(x^8+x^7+x^6-4*x^5-4*x^4-2*x^3+9*x^2+3*x+1) lgdogf] A125305 11.0996 [f(x)^2*x^3+f(x)^2*x-f(x)+1 ogf] A125316 5.71624 [-(8*x^5+3*x^4-16*x^3-3*x^2+1)/(x^2+x-1)/(2*x^3-x^2-5*x+1) ogf] A125317 4.34932 [-(6*x^7+5*x^6-28*x^5-15*x^4+28*x^3+6*x^2-1)/(x^3-x^2-2*x+1)/(x^4+2*x^3-3*x^2-5*x+1) ogf] A125318 3.83020 [-(7*x^8-12*x^7-35*x^6+48*x^5+45*x^4-40*x^3-10*x^2+1)/(x+1)/(x^3-3*x+1)/(x^4-3*x^3-x^2+6*x-1) ogf] A125319 4.41007 [-(28*x^7-52*x^6-58*x^5+138*x^4-36*x^3-14*x^2-x+1)/(x-1)/(x+1)/(2*x^2-4*x+1)/(2*x^3-6*x+1) ogf] A125320 3.38407 [-(84*x^8-48*x^7-260*x^6+112*x^5+192*x^4-56*x^3-21*x^2+1)/(x+1)/(2*x^3-4*x+1)/(6*x^4-10*x^3-4*x^2+7*x-1) ogf] A125321 3.37701 [-(224*x^8-48*x^7-540*x^6+112*x^5+318*x^4-56*x^3-28*x^2+1)/(4*x^3-2*x^2-4*x+1)/(8*x^5+2*x^4-18*x^3-2*x^2+7*x-1) ogf] A125343 4.39764 [{a(n+4)-6*a(n+3)+a(n+2)+4*a(n+1),a(0)=1,a(1)=6,a(2)=34,a(3)=186} ogf] A125343 4.82668 [-(328*f(x)+637)*(4*f(x)*x^3+f(x)*x^2+8*x^3-6*f(x)*x+x^2+f(x)-1) ogf] A125343 9.08599 [2*(-3+2*x+15*x^2-48*x^3+2*x^4)/(x-1)/(4*x^2+5*x-1)/(8*x^3+x^2-1) lgdogf] A125343 9.13355 [-(8*x^3+x^2-1)/(x-1)/(4*x^2+5*x-1) ogf] A125344 6.11949 [-(12*x^5+3*x^4-22*x^3-3*x^2+1)/(x^2+x-1)/(3*x^3-2*x^2-6*x+1) ogf] A125345 4.21621 [-(12*x^7+5*x^6-48*x^5-15*x^4+40*x^3+6*x^2-1)/(x^3-x^2-2*x+1)/(2*x^4+3*x^3-5*x^2-6*x+1) ogf] A125346 3.39632 [-(8*x^9+7*x^8-54*x^7-35*x^6+108*x^5+45*x^4-60*x^3-10*x^2+1)/(x+1)/(x^3-3*x+1)/(x^5-6*x^3+x^2+7*x-1) ogf] A125370 4.21621 [{a(n+4)-7*a(n+3)+a(n+2)+5*a(n+1),a(0)=1,a(1)=7,a(2)=47,a(3)=307} ogf] A125370 4.74324 [(175*f(x)+299)*(5*f(x)*x^3+f(x)*x^2+10*x^3-7*f(x)*x+x^2+f(x)-1) ogf] A125370 8.62408 [-(10*x^3+x^2-1)/(x-1)/(5*x^2+6*x-1) ogf] A125370 8.70634 [(-7+4*x+38*x^2-140*x^3+5*x^4)/(x-1)/(5*x^2+6*x-1)/(10*x^3+x^2-1) lgdogf] A125371 5.90159 [-(16*x^5+3*x^4-28*x^3-3*x^2+1)/(x^2+x-1)/(4*x^3-3*x^2-7*x+1) ogf] A125372 4.50469 [-(18*x^7+5*x^6-68*x^5-15*x^4+52*x^3+6*x^2-1)/(x+1)/(x^3-x^2-2*x+1)/(3*x^3+x^2-8*x+1) ogf] A125373 3.87572 [-(16*x^8-9*x^7-87*x^6+52*x^5+116*x^4-71*x^3-9*x^2-x+1)/(x+1)/(x^3-3*x+1)/(2*x^4-3*x^3-6*x^2+9*x-1) ogf] A125396 4.50469 [{a(n+4)-8*a(n+3)+a(n+2)+6*a(n+1),a(0)=1,a(1)=8,a(2)=62,a(3)=470} ogf] A125396 4.9847 [(1314*f(x)+2053)*(6*f(x)*x^3+f(x)*x^2+12*x^3-8*f(x)*x+x^2+f(x)-1) ogf] A125396 9.17154 [2*(-4+2*x+3*x^4-96*x^3+23*x^2)/(x-1)/(6*x^2+7*x-1)/(12*x^3+x^2-1) lgdogf] A125396 9.21414 [-(12*x^3+x^2-1)/(x-1)/(6*x^2+7*x-1) ogf] A125397 6.23112 [-(20*x^5+3*x^4-34*x^3-3*x^2+1)/(x+1)/(5*x^2-9*x+1)/(x^2+x-1) ogf] A125398 4.22181 [-(24*x^7+5*x^6-88*x^5-15*x^4+64*x^3+6*x^2-1)/(x^3-x^2-2*x+1)/(4*x^4+5*x^3-9*x^2-8*x+1) ogf] A125421 4.20946 [{a(n+4)-9*a(n+3)+a(n+2)+7*a(n+1),a(0)=1,a(1)=9,a(2)=79,a(3)=681} ogf] A125421 4.65801 [(1127*f(x)+1649)*(7*f(x)*x^3+f(x)*x^2+14*x^3-9*f(x)*x+x^2+f(x)-1) ogf] A125421 8.56153 [(-9+4*x+54*x^2-252*x^3+7*x^4)/(-1+x)/(7*x^2+8*x-1)/(14*x^3+x^2-1) lgdogf] A125421 8.61026 [-(14*x^3+x^2-1)/(x-1)/(7*x^2+8*x-1) ogf] A125422 5.68481 [-(24*x^5+3*x^4-40*x^3-3*x^2+1)/(x^2+x-1)/(6*x^3-5*x^2-9*x+1) ogf] A125423 4.05074 [-(30*x^7+5*x^6-108*x^5-15*x^4+76*x^3+6*x^2-1)/(x^3-x^2-2*x+1)/(5*x^4+6*x^3-11*x^2-9*x+1) ogf] A125445 4.19099 [{a(n+4)-10*a(n+3)+a(n+2)+8*a(n+1),a(0)=1,a(1)=10,a(2)=98,a(3)=946} ogf] A125445 4.66801 [(3616*f(x)+5033)*(8*f(x)*x^3+f(x)*x^2+16*x^3-10*f(x)*x+x^2+f(x)-1) ogf] A125445 8.52103 [2*(-5+2*x+31*x^2-160*x^3+4*x^4)/(x-1)/(8*x^2+9*x-1)/(16*x^3+x^2-1) lgdogf] A125445 8.56964 [-(16*x^3+x^2-1)/(x-1)/(8*x^2+9*x-1) ogf] A125446 5.49456 [-(28*x^5+3*x^4-46*x^3-3*x^2+1)/(x^2+x-1)/(7*x^3-6*x^2-10*x+1) ogf] A125447 4.05074 [-(36*x^7+5*x^6-128*x^5-15*x^4+88*x^3+6*x^2-1)/(x^3-x^2-2*x+1)/(6*x^4+7*x^3-13*x^2-10*x+1) ogf] A125468 3.99245 [{a(n+4)-11*a(n+3)+a(n+2)+9*a(n+1),a(0)=1,a(1)=11,a(2)=119,a(3)=1271} ogf] A125468 4.5118 [(1377*f(x)+1843)*(9*f(x)*x^3+f(x)*x^2+18*x^3-11*f(x)*x+x^2+f(x)-1) ogf] A125468 8.23318 [(-11+4*x+70*x^2-396*x^3+9*x^4)/(x-1)/(9*x^2+10*x-1)/(18*x^3+x^2-1) lgdogf] A125468 8.28285 [-(18*x^3+x^2-1)/(x-1)/(9*x^2+10*x-1) ogf] A125469 5.52318 [-(32*x^5+3*x^4-52*x^3-3*x^2+1)/(x^2+x-1)/(8*x^3-7*x^2-11*x+1) ogf] A125470 3.65443 [-(42*x^7+5*x^6-148*x^5-15*x^4+100*x^3+6*x^2-1)/(x^3-x^2-2*x+1)/(7*x^4+8*x^3-15*x^2-11*x+1) ogf] A125501 5.23068 [-(2*x-1)*(x^4-12*x^3+19*x^2-8*x+1)/(x^6-36*x^5+105*x^4-112*x^3+54*x^2-12*x+1) ogf] A125513 5.04778 [-(x^9+x^8+x^7+x^6+x^5-x^4-3*x^3-2*x^2-2*x-2)/(x^10+x^7-2*x^5-x^4-x^2-x+1) ogf] A125520 4.03603 [-3*(30*x^3+14*x+1)/(10*x-1)/(x-1)/(10*x^2-1) ogf] A125520 5.58527 [(75147948477*f(x)-142477101703)*(100*f(x)*x^4-110*f(x)*x^3+90*x^3+11*f(x)*x-f(x)+42*x+3) ogf] A125521 12.3628 [(35*f(x)-93)*(10*f(x)*x^2-f(x)+6*x+3) ogf] A125558 4.90740 [{(16*n^2+16*n+4)*a(n)+(-n^2-3*n-2)*a(n+1),a(0)=1,a(1)=1} ogf] A125577 12.0826 [(x^3-4*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A125577 16.7700 [-x*(-8+x^3-6*x^2+x)/(x-1)/(x+1)/(x^3-4*x^2+2*x-1) lgdogf] A125577 6.46277 [-(2984*f(x)-5623)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A125586 11.2413 [-(10*x^2-6*x+1)/(4*x-1)/(3*x-1)^2 ogf] A125586 12.3760 [-2*(-2+17*x+60*x^3-52*x^2)/(-1+4*x)/(3*x-1)/(10*x^2-6*x+1) lgdogf] A125586 5.94053 [-(111*f(x)+778)*(36*f(x)*x^3-33*f(x)*x^2+10*f(x)*x+10*x^2-f(x)-6*x+1) ogf] A125586 6.29902 [{a(n+3)-10*a(n+2)+33*a(n+1)-36*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A125629 4.21718 [-1/(x^2+1)/(x^4-x+1) ogf] A125629 6.41011 [-(-1+2*x+6*x^5+4*x^3-3*x^2)/(x^2+1)/(x^4-x+1) lgdogf] A125630 15.3781 [(9*f(x)*x-f(x)+9)^3 ogf] A125630 3.53068 [-9*(4480*x^7-12176*x^6+11772*x^5-6168*x^4+1809*x^3-303*x^2+27*x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A125641 17.2149 [-(5+6*x+4*x^3+15*x^2)/(x-1)/(2*x^3+3*x^2+1) lgdogf] A125641 9.09255 [-(2*x^3+3*x^2+1)/(x-1)^5 ogf] A125651 4.35253 [{a(n+4)-7*a(n+3)+7*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=24,a(3)=147} ogf] A125651 4.51994 [-(1336*f(x)-2101)*(f(x)*x^3-7*f(x)*x^2-x^3+7*f(x)*x+10*x^2-f(x)-4*x+1) ogf] A125651 8.39417 [(x^3-10*x^2+4*x-1)/(x-1)/(x^2-6*x+1) ogf] A125651 8.99085 [3*(1+2*x-14*x^2+2*x^3+x^4)/(-1+x)/(x^3-10*x^2+4*x-1)/(x^2-6*x+1) lgdogf] A125652 4.91807 [(1189*f(x)-1526)*(f(x)*x^4-x^4-34*f(x)*x^2-3*x^3+25*x^2+f(x)-3*x-1) ogf] A125652 6.40041 [-3*(x-1)*(x+1)*(x^4+6*x^3+38*x^2+6*x+1)/(x^2+6*x+1)/(x^2-6*x+1)/(x^4+3*x^3-25*x^2+3*x+1) lgdogf] A125652 7.67219 [(x^4+3*x^3-25*x^2+3*x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A125664 8.50252 [-(10*x^16+10*x^8-13*x^4-2*x^3-2*x^2-x-12)/(x+1)/(x^2+1)/(x-1)^2 ogf] A125665 7.03287 [-(120*x^24-110*x^20-10*x^12+10*x^8-13*x^4-2*x^3-2*x^2-x-2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A125682 18.3022 [-1/12*(-3-7*x+(9+42*x+25*x^2)^(1/2))/x revogf] A125682 21.4499 [3/(6*x-1)/(x-1) ogf] A125682 27.8194 [-(-7+12*x)/(6*x-1)/(-1+x) lgdogf] A125682 8.52829 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=3,a(1)=21} ogf] A125682 8.5283 [(37*f(x)+36)*(6*f(x)*x^2-7*f(x)*x+f(x)-3) ogf] A125687 14.6714 [-1/12*(-4-7*x+(16+56*x+25*x^2)^(1/2))/x revogf] A125687 21.7309 [4/(6*x-1)/(x-1) ogf] A125687 23.8410 [-(-7+12*x)/(6*x-1)/(x-1) lgdogf] A125687 8.64001 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=4,a(1)=28} ogf] A125687 8.64002 [(37*f(x)+48)*(6*f(x)*x^2-7*f(x)*x+f(x)-4) ogf] A125691 18.3097 [-(-1-6*x+3*x^2)/(-3*x^2+1-x+x^3) lgdogf] A125691 22.4925 [1/(x^3-3*x^2-x+1) ogf] A125691 7.43054 [{a(n+3)-a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A125691 8.15903 [(331*f(x)+29)*(f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-1) ogf] A125695 10.0484 [-f(x)^2*x+f(x)*x-f(x)+2*x+1 ogf] A125695 10.5829 [-1/2*(-5*x-1+(1+2*x+9*x^2)^(1/2))/x/(1+2*x)/(1+2*x+9*x^2)^(1/2) lgdogf] A125695 18.5202 [-1/4-1/4*x+1/4*((1+x)*(9*x+1))^(1/2) revogf] A125725 10.4236 [-7*f(x)*x^2+8*f(x)*x-f(x)+2*x ogf] A125725 16.6214 [2*x/(7*x-1)/(x-1) ogf] A125725 17.3103 [-1/7*(-1-4*x+(1+8*x+9*x^2)^(1/2))/x revogf] A125725 24.2344 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A125725 7.59251 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=2} ogf] A125726 8.02129 [(4+6*x-6*x^8+16*x^6-36*x^5+20*x^4+4*x^3+8*x^7-12*x^2-11*x^10+9*x^11)/(x-1)/(x^11-x^8+4*x^6-4*x^5+4*x^3-2*x^2-2*x-1) lgdogf] A125726 9.99586 [-(x^11-x^8+4*x^6-4*x^5+4*x^3-2*x^2-2*x-1)/(x-1)^2 ogf] A125729 14.4410 [-1/14*(-5-8*x+(25+80*x+36*x^2)^(1/2))/x revogf] A125729 15.4644 [5*x/(7*x-1)/(x-1) ogf] A125729 22.5279 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A125729 7.06400 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=5} ogf] A125729 9.69805 [-7*f(x)*x^2+8*f(x)*x-f(x)+5*x ogf] A125758 14.6993 [(2*x^2+3*x+4)/(x+1)/(x-1)^2 ogf] A125758 18.7294 [-(7+19*x+2*x^3+8*x^2)/(x-1)/(x+1)/(2*x^2+3*x+4) lgdogf] A125758 7.59883 [-(9*f(x)+1180)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-3*x-4) ogf] A125758 7.93504 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=7,a(2)=13} ogf] A125816 13.4962 [(x-1)/(12*x^2+2*x-1) ogf] A125816 16.0075 [-(-1-24*x+12*x^2)/(x-1)/(12*x^2+2*x-1) lgdogf] A125816 16.0075 [1/2/(12*x-1)*(-1-2*x+(52*x^2+1)^(1/2)) revogf] A125816 6.89809 [(208*f(x)-207)*(12*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A125816 7.47984 [{-a(n+2)+2*a(n+1)+12*a(n),a(0)=1,a(1)=1} ogf] A125817 12.0236 [-17*f(x)*x^2-2*f(x)*x+f(x)-3*x ogf] A125817 16.1792 [1/34*(-2*x-3+(24*x^2+4*x+3)^(1/2)*3^(1/2))/x revogf] A125817 18.9847 [-3*x/(17*x^2+2*x-1) ogf] A125817 27.3801 [-2*(1+17*x)/(17*x^2-1+2*x) lgdogf] A125817 8.79777 [{-a(n+2)+2*a(n+1)+17*a(n),a(0)=0,a(1)=3} ogf] A125818 16.0284 [(x-1)/(17*x^2+2*x-1) ogf] A125818 18.5794 [-(-1-34*x+17*x^2)/(-1+x)/(17*x^2+2*x-1) lgdogf] A125818 8.19232 [(378*f(x)-377)*(17*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A125818 8.88323 [{-a(n+2)+2*a(n+1)+17*a(n),a(0)=1,a(1)=1} ogf] A125819 18.1870 [1/194/x*(-1-2*x+(1+4*x+392*x^2)^(1/2)) revogf] A125819 18.4274 [-x/(97*x^2+2*x-1) ogf] A125819 26.5810 [-2*(1+97*x)/(97*x^2-1+2*x) lgdogf] A125819 8.53951 [(2*f(x)+1)*(97*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A125819 8.53951 [{-a(n+2)+2*a(n+1)+97*a(n),a(0)=0,a(1)=1} ogf] A125820 14.7833 [(x-1)/(97*x^2+2*x-1) ogf] A125820 17.1294 [-(-1-194*x+97*x^2)/(x-1)/(97*x^2+2*x-1) lgdogf] A125820 7.39164 [(9898*f(x)-9897)*(97*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A125820 8.19314 [{-a(n+2)+2*a(n+1)+97*a(n),a(0)=1,a(1)=1} ogf] A125823 13.1266 [-7*f(x)*x^2+8*f(x)*x-f(x)+4*x ogf] A125823 15.3835 [4*x/(7*x-1)/(x-1) ogf] A125823 15.5612 [-1/7*(-2-4*x+(4+16*x+9*x^2)^(1/2))/x revogf] A125823 22.4081 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A125823 7.02702 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=4} ogf] A125829 6.56951 [-(2*x^13+2*x^12+2*x^11+x^10+2*x^9+2*x^8+2*x^7+x^6+x^5+x^4+x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A125831 13.2028 [-5*f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A125831 19.2401 [2*x/(5*x-1)/(x-1) ogf] A125831 20.0671 [-1/5*(-1-3*x+(1+6*x+4*x^2)^(1/2))/x revogf] A125831 28.0940 [-2*(-3+5*x)/(5*x-1)/(x-1) lgdogf] A125831 8.78868 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=2} ogf] A125833 10.1638 [-5*f(x)*x^2+6*f(x)*x-f(x)+3*x ogf] A125833 15.5365 [-1/10*(-3-6*x+(9+36*x+16*x^2)^(1/2))/x revogf] A125833 16.2071 [3*x/(5*x-1)/(x-1) ogf] A125833 23.6155 [-2*(-3+5*x)/(5*x-1)/(x-1) lgdogf] A125833 7.40323 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=3} ogf] A125835 13.4986 [-8*f(x)*x^2+9*f(x)*x-f(x)+2*x ogf] A125835 15.0575 [-1/16*(-2-9*x+(4+36*x+49*x^2)^(1/2))/x revogf] A125835 15.7074 [2*x/(8*x-1)/(x-1) ogf] A125835 23.8410 [-(-9+16*x)/(8*x-1)/(x-1) lgdogf] A125835 7.17496 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=2} ogf] A125836 10.2566 [-8*f(x)*x^2+9*f(x)*x-f(x)+5*x ogf] A125836 15.2859 [-1/16*(-5-9*x+(25+90*x+49*x^2)^(1/2))/x revogf] A125836 16.3551 [5*x/(8*x-1)/(x-1) ogf] A125836 24.8396 [-(-9+16*x)/(8*x-1)/(x-1) lgdogf] A125836 7.47083 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=5} ogf] A125837 10.3074 [-8*f(x)*x^2+9*f(x)*x-f(x)+6*x ogf] A125837 14.9787 [-1/16*(-6-9*x+(36+108*x+49*x^2)^(1/2))/x revogf] A125837 16.4360 [6*x/(8*x-1)/(x-1) ogf] A125837 24.9644 [-(-9+16*x)/(8*x-1)/(x-1) lgdogf] A125837 7.50781 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=6} ogf] A125849 4.42251 [x^3*(x^6+18*x^5+35*x^4+62*x^3+31*x^2+12*x+1)/(x+1)^4/(x-1)^6 ogf] A125849 6.62143 [-2*(7+48*x+126*x^5+297*x^4+256*x^3+46*x^6+2*x^7+178*x^2)/(x-1)/(x+1)/(x^6+18*x^5+35*x^4+62*x^3+31*x^2+12*x+1) lgdogf] A125857 10.0856 [-9*f(x)*x^2+10*f(x)*x-f(x)+2*x ogf] A125857 13.8640 [-1/9*(-5*x-1+(1+2*x)^(1/2)*(1+8*x)^(1/2))/x revogf] A125857 15.9247 [2*x/(9*x-1)/(x-1) ogf] A125857 23.8460 [-2*(-5+9*x)/(9*x-1)/(x-1) lgdogf] A125857 7.37972 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=2} ogf] A125858 13.7825 [(10*f(x)*x-f(x)+10)^3 ogf] A125880 3.55838 [-2*(20160*x^7-54792*x^6+53420*x^5-28436*x^4+8441*x^3-1439*x^2+131*x-5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A125897 3.19853 [-2*(20160*x^7-54792*x^6+53344*x^5-28304*x^4+8374*x^3-1427*x^2+130*x-5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A125904 3.21348 [-2*(20160*x^7-54792*x^6+53362*x^5-28337*x^4+8392*x^3-1430*x^2+130*x-5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A125905 16.2407 [1/2*(-4*x+1+(-1+2*x)^(1/2)*(-1+6*x)^(1/2))/x revogf] A125905 23.7531 [1/(x^2+4*x+1) ogf] A125905 35.7296 [-2*(x+2)/(x^2+1+4*x) lgdogf] A125905 8.10399 [-(7*f(x)+1)*(f(x)*x^2+4*f(x)*x+f(x)-1) ogf] A125905 8.40049 [{a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=-4} ogf] A125908 4.01866 [-8*(630*x^6-1476*x^5+1457*x^4-664*x^3+162*x^2-20*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125909 4.09173 [-(5040*x^6-11988*x^5+11944*x^4-5479*x^3+1367*x^2-173*x+9)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125910 4.10999 [-3*(1680*x^6-3976*x^5+3946*x^4-1807*x^3+451*x^2-57*x+3)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125912 7.70458 [-(2*x^23+2*x^15+4*x^10+2*x^9+x^8+2*x^7+2*x^6+x^5+x^3+x^2+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A125913 6.75626 [-(x^11+4*x^8+2*x^6+2*x^4+x^2-x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A125914 9.23024 [-(x^10+4*x^8+2*x^7+2*x^6+2*x^5+2*x^4+x^3+x^2+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A125915 10.7309 [-(x^9+4*x^7+4*x^6+2*x^5+2*x^4+2*x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A125916 8.69255 [-x*(2*x^9+2*x^8+x^7+2*x^6+2*x^5+x^4+x^3+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A125918 8.21331 [-(x^13+4*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A125919 7.88301 [-(2*x^21+2*x^17+4*x^9+x^8+2*x^7+x^5+x^4+2*x^3+2*x^2+x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A125922 8.25246 [-(3*x^10-3*x^8+3*x^6+x^4-x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2+1) ogf] A125923 11.6949 [-(4*x^23-4*x^18+5*x^9+4*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A125924 8.90553 [-(2*x^11-2*x^9+4*x^7-x^5+2*x^3+1)/(x-1)/(x+1)/(x^4+1) ogf] A125925 11.7700 [-(2*x^7+x^5+2*x^3+x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A125927 7.76878 [-x*(x^18+x^14-x^9+4*x^8+2*x^7+2*x^6+x^4+2*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A125938 9.43299 [-(x^16+2*x^9+4*x^8+4*x^7+2*x^5+2*x^4+2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A125944 5.66165 [-(2*x^19+11*x^15+7*x^14+8*x^13+x^12+4*x^11+2*x^10+8*x^9+x^8+4*x^7+7*x^6+2*x^5+x^4+6*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A125945 4.12140 [-2*(2520*x^6-6054*x^5+6063*x^4-2794*x^3+712*x^2-92*x+5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125946 4.13955 [-2*(2520*x^6-6042*x^5+6043*x^4-2783*x^3+708*x^2-91*x+5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125947 4.12826 [-3*(1680*x^6-3988*x^5+3968*x^4-1819*x^3+453*x^2-57*x+3)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125948 3.72962 [-2*(2520*x^6-6012*x^5+5990*x^4-2754*x^3+701*x^2-90*x+5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A125950 5.82243 [-(2*x^9+3*x^8+3*x^7+2*x^6+x^5-x^3-2*x^2-2*x-1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A125962 11.7214 [-9*f(x)*x^2+10*f(x)*x-f(x)+5*x ogf] A125962 12.0978 [-1/18*(-5-10*x+(4*x+5)^(1/2)*(16*x+5)^(1/2))/x revogf] A125962 18.5075 [5*x/(9*x-1)/(x-1) ogf] A125962 21.4038 [-2*(-5+9*x)/(9*x-1)/(-1+x) lgdogf] A125962 8.57663 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=5} ogf] A125991 4.77926 [8*x*(57*x^19+5*x^18+5*x^17+5*x^16-32*x^15-5*x^3-x^2-x-1)/(x+1)/(x^2+1)/(5*x^16-1)/(x-1)^2 ogf] A125992 6.29174 [(1455*x^8+16*x^7+48*x^6+16*x^5+432*x^4+16*x^3+48*x^2+16*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A125997 6.29174 [(1447*x^8+16*x^7+48*x^6+16*x^5+432*x^4+16*x^3+48*x^2+16*x+9)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A126001 4.77688 [x*(35*x^15+x^14+3*x^13+x^12+3*x^11+x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A126002 27.2327 [-2*(2+3*x+3*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A126002 8.86560 [-2*x*(128*x^60+44*x^59+3*x^2+4*x+1)/(28*x^61+48*x^60-44*x^59-x^4+2*x^2-1) ogf] A126006 4.84750 [x*(49*x^12-45*x^11+34*x^8-30*x^7+19*x^4-15*x^3+4)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A126019 10.1395 [-2*(2*x-1)*(6*x^3-x^2+9*x+1)/(x-1)/(-1+4*x)/(x+1)/(6*x^2-2*x+1) lgdogf] A126019 10.6803 [(6*x^2-2*x+1)/(x-1)/(4*x-1)/(x+1) ogf] A126019 5.29676 [-(34361*f(x)+67990)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x-6*x^2+f(x)+2*x-1) ogf] A126019 5.76549 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=15} ogf] A126020 10.7296 [2*(-72*x^2+42*x-7+(-(4*x-1)*(6*x-1)^2)^(1/2))/(36*x^2-20*x+3)/(4*x-1) lgdogf] A126020 4.00647 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2-192*f(x)*x^3+16*f(x)^2*x+160*f(x)*x^2-f(x)^2-44*f(x)*x-36*x^2+4*f(x)+20*x-3 ogf] A126026 4.80860 [x*(x^2+1)*(x^16-x^15-x^14+x^13-x^11-x^7+x^6-2*x^4+x^3-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^3 ogf] A126042 25.0846 [x*(1+x)^2/(1+2*x)/(1+x+x^2) revogf] A126042 7.22986 [2*f(x)^3*x^3-f(x)^3*x^2+3*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A126068 11.2989 [f(x)^2+2*f(x)*x+4*x^2-2*f(x) ogf] A126068 4.76168 [{(-3*n+3)*a(n)+(-2*n-1)*a(n+1)+(n+2)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A126079 15.2559 [-16*x^3+20*x^2-8*x+1-f(x)^2 ogf] A126079 31.7303 [4*(3*x-1)/(-1+4*x)/(2*x-1) lgdogf] A126079 4.98361 [{(n+3)*a(n+3)+(-8-6*n)*a(n+2)+(-4+8*n)*a(n+1),a(0)=1,a(1)=-4,a(2)=2} ogf] A126087 3.38414 [{(-24*n-48)*a(n+1)+(8*n+16)*a(n+2)+(3*n+15)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A126087 31.5885 [x*(1+x)/(1+2*x+3*x^2) revogf] A126087 8.78995 [3*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A126089 12.9195 [-16*x^3+20*x^2-8*x+1-f(x)^2 egf] A126089 25.8205 [4*(3*x-1)/(-1+4*x)/(2*x-1) lgdegf] A126089 3.70208 [{(32*n^2+48*n-32)*a(n+1)+(-4*n^2-26*n-32)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=-4,a(2)=4} ogf] A126091 10.6162 [(2*x^5-5*x^4+5*x^3-2*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A126091 9.62251 [(x^2+x+2)*(3*x^5-10*x^4+8*x^3-8*x^2+x-2)/(x-1)/(x+1)/(x^2+1)/(2*x^5-5*x^4+5*x^3-2*x^2+3*x+1) lgdogf] A126099 5.88048 [(x^11+14*x^10-14*x^9-32*x^8+26*x^7+22*x^6-13*x^5-5*x^4-x^3+2*x^2-1)/(x+1)^2/(x-1)^3 ogf] A126109 10.4286 [-(5*x-2)/(10*x-1)/(x-1) ogf] A126109 10.6403 [-1/10*(-2-11*x+(4+24*x+81*x^2)^(1/2))/(1+2*x) revogf] A126109 11.9703 [-(17-40*x+50*x^2)/(x-1)/(5*x-2)/(10*x-1) lgdogf] A126109 5.27039 [-(147*f(x)-5)*(10*f(x)*x^2-11*f(x)*x+f(x)+5*x-2) ogf] A126109 5.76641 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=2,a(1)=17} ogf] A126115 11.6328 [4*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-2*x-1 egf] A126115 31.9675 [-(3+2*x)/(2*x-1)/(1+2*x) lgdegf] A126115 6.04184 [{(4*n^2+14*n+12)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=11} ogf] A126116 13.0474 [(x-1)*(x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A126116 14.8785 [-(-1+x^6-6*x^3)/(x-1)/(x^2+x+1)/(x^2+x-1)/(1+x^2) lgdogf] A126116 6.70003 [-(f(x)-2)*(f(x)*x^4+f(x)*x^3-x^3+f(x)*x-f(x)+1) ogf] A126119 14.4394 [-3/4-3/2*x-1/4*x^2+1/4*((x^2+6*x+1)*(x+3)^2)^(1/2) revegf] A126119 30.0821 [-(5+2*x)/(2*x-1)/(1+2*x) lgdegf] A126119 4.29213 [{(-6*n^2-21*n-18)*a(n+1)+(-4*n^2-23*n-40)*a(n+2)+(2*n+6)*a(n+3),a(0)=1,a(1)=5,a(2)=27} ogf] A126119 7.80803 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+4*x^2+4*x+1 egf] A126120 13.2635 [-(-1+4*x^2+(-(-1+2*x)*(2*x+1))^(1/2))/(-1+2*x)/(2*x+1)/x lgdogf] A126120 17.8453 [-1+f(x)-f(x)^2*x^2 ogf] A126120 5.82619 [{(-4*n-8)*a(n+1)+(n+5)*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A126120 82.5285 [x/(x^2+1) revogf] A126121 30.5814 [-(5+6*x)/(2*x-1)/(1+2*x) lgdegf] A126121 5.78246 [{(4*n^2+18*n+20)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=31} ogf] A126121 7.03714 [-16*f(x)^2*x^4+32*f(x)^2*x^3-24*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+2*x+1 egf] A126184 11.9645 [(x^2-3*x+1)/(3*x-1)^2 ogf] A126184 22.1873 [(-3+7*x)/(3*x-1)/(x^2-3*x+1) lgdogf] A126184 6.15650 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=3,a(2)=10} ogf] A126184 6.81848 [(2*f(x)+7)*(9*f(x)*x^2-6*f(x)*x-x^2+f(x)+3*x-1) ogf] A126185 3.59157 [5*f(x)^2*x^4-6*f(x)^2*x^3+35*f(x)*x^4+f(x)^2*x^2-87*f(x)*x^3+5*x^4+71*f(x)*x^2-6*x^3-21*f(x)*x+2*f(x) ogf] A126187 5.69098 [-1/2*(-3*x+15+4*(x-1)^(1/2)*x*(5*x-1)^(1/2)+15*(5*x-1)^(1/2)*(x-1)^(1/2))/(5*x-1)^(1/2)/(x+3)/x/(x-1)^(1/2) lgdogf] A126189 7.55255 [9*f(x)^2*x^4+6*f(x)*x^3+3*f(x)*x+x^2-f(x)+1 ogf] A126190 3.37013 [{(-5*n^2-5*n)*a(n)+(6*n^2+9*n+3)*a(n+1)+(-n^2-2*n+8)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A126190 3.56607 [f(x)*(5*f(x)^2*x^4-6*f(x)^2*x^3+80*f(x)*x^4+f(x)^2*x^2-156*f(x)*x^3-4*x^4+98*f(x)*x^2-24*f(x)*x+2*f(x)) ogf] A126220 7.51279 [4*f(x)^2*x^4+4*f(x)*x^3+2*f(x)*x+x^2-f(x)+1 ogf] A126221 3.64248 [{(8*n^2+28*n+24)*a(n+1)+(-6*n^2-24*n-20)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A126221 5.18689 [4*f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 ogf] A126223 3.56521 [{(-16*n^2+8*n)*a(n)+(20*n^2+40*n+8)*a(n+1)+(-8*n^2-34*n-32)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A126223 6.68075 [4*f(x)^2*x^2-f(x)^2*x-8*f(x)*x^2+4*x^3+6*f(x)*x-4*x^2-f(x)+x ogf] A126224 4.25375 [{(48*n^3+368*n^2+884*n+660)*a(n+1)+(3*n^3+20*n^2+43*n+30)*a(n+3),a(0)=1,a(1)=-5,a(2)=-24} egf] A126264 15.1548 [-2*(x+4)/(x-1)^3 ogf] A126264 37.5228 [-(13+2*x)/(x+4)/(x-1) lgdogf] A126264 7.04566 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=26,a(2)=54} ogf] A126264 7.30187 [(5725*f(x)-47634)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2*x+8) ogf] A126269 3.88919 [-(2*x^3-4*x-3)/(x-1)/(x+1)/(2*x^2-1) ogf] A126269 4.16526 [(814*f(x)-51)*(2*f(x)*x^4-3*f(x)*x^2+2*x^3+f(x)-4*x-3) ogf] A126274 18.1743 [-3*(5+18*x+7*x^2)/(-1+x)/(7*x^2+10*x+1) lgdogf] A126274 3.56110 [{(n+4)*a(n+4)+(12+9*n)*a(n+3)+(-60-3*n)*a(n+2)+(-28-7*n)*a(n+1),a(0)=1,a(1)=15,a(2)=72,a(3)=220} ogf] A126274 9.03630 [-(7*x^2+10*x+1)/(x-1)^5 ogf] A126275 4.28775 [{(n^2+8*n+15)*a(n+1)+(-2*n^2-16*n-60)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=5,a(1)=60,a(2)=340} ogf] A126275 7.25310 [-5*(x+1)*(x^2+4*x+1)/(x-1)^7 ogf] A126276 4.75469 [-2*(7*x^5+171*x^4+666*x^3+656*x^2+171*x+9)/(x-1)^9 ogf] A126284 12.5162 [-(3*x+1)/(2*x-1)/(x-1)^2 ogf] A126284 16.6638 [-(-7+3*x+12*x^2)/(x-1)/(-1+2*x)/(3*x+1) lgdogf] A126284 5.87042 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=7,a(2)=23} ogf] A126284 6.08585 [(1416*f(x)-2489)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+3*x+1) ogf] A126322 5.15523 [9*f(x)^2*x^4+27*f(x)*x^3+81*x^4-18*f(x)*x^2-54*x^3+6*f(x)*x+27*x^2-f(x)-6*x+1 ogf] A126324 10.5276 [f(x)^2*x^2-3*f(x)*x+9*x^2-f(x)+6*x+1 ogf] A126335 10.7049 [-(2*x^2-11*x-3)/(x-1)^4 ogf] A126335 19.3367 [-(-23-29*x+4*x^2)/(x-1)/(2*x^2-11*x-3) lgdogf] A126335 3.69135 [{(-3*n-12)*a(n+4)+(-1-8*n)*a(n+3)+(55+13*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=3,a(1)=23,a(2)=72,a(3)=162} ogf] A126335 5.09757 [(237876480*f(x)+2544465569)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-11*x-3) ogf] A126354 10.8223 [-2*x*(3+x^4-2*x^3+4*x^2+6*x)/(x-1)/(2*x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A126354 11.8782 [(2*x+1)*(x-1)^2/(x^2+2*x-1)/(x^2-2*x-1) ogf] A126354 6.96703 [-(331*f(x)+76)*(f(x)*x^4-6*f(x)*x^2-2*x^3+3*x^2+f(x)-1) ogf] A126358 14.1045 [-(x^2-x-1)/(x^2-3*x+1) ogf] A126358 17.5778 [-2*(2-2*x+x^2)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A126358 7.25768 [{a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=4,a(2)=10} ogf] A126358 7.55091 [-(11+21*f(x))*(f(x)*x^2-3*f(x)*x+x^2+f(x)-x-1) ogf] A126360 10.0896 [-2*(3-8*x+4*x^2+2*x^3+x^4)/(x^3+3*x^2-4*x+1)/(x^3+5*x^2-2*x-1) lgdogf] A126360 4.76558 [{-a(n+4)+4*a(n+3)-3*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=16,a(3)=44} ogf] A126360 5.36628 [(3+5*f(x))*(f(x)*x^3+3*f(x)*x^2+x^3-4*f(x)*x+5*x^2+f(x)-2*x-1) ogf] A126360 9.25490 [-(x^3+5*x^2-2*x-1)/(x^3+3*x^2-4*x+1) ogf] A126361 4.32955 [-(f(x)+1)*(f(x)*x^4-4*f(x)*x^3+2*x^4-2*f(x)*x^2-5*x^3+4*f(x)*x-7*x^2-f(x)+3*x+1) ogf] A126361 7.02302 [-(7-18*x-5*x^2+28*x^3+3*x^4-6*x^5+3*x^6)/(2*x^4-5*x^3-7*x^2+3*x+1)/(x^4-4*x^3-2*x^2+4*x-1) lgdogf] A126361 7.58946 [-(2*x^4-5*x^3-7*x^2+3*x+1)/(x^4-4*x^3-2*x^2+4*x-1) ogf] A126362 4.36585 [-(f(x)-1)*(2*f(x)*x^4-f(x)*x^3+4*x^4-6*f(x)*x^2+x^3+5*f(x)*x-12*x^2-f(x)+3*x+1) ogf] A126362 7.61486 [-(4*x^4+x^3-12*x^2+3*x+1)/(x^3-3*x+1)/(2*x-1) ogf] A126362 7.82739 [-2*(4-18*x+3*x^6-12*x^4+4*x^3+21*x^2)/(2*x-1)/(x^3-3*x+1)/(4*x^4+x^3-12*x^2+3*x+1) lgdogf] A126363 6.45293 [-(2*x^5+13*x^4-4*x^3-15*x^2+4*x+1)/(x-1)/(x^4+6*x^3+x^2-4*x+1) ogf] A126364 6.16153 [-2*(2*x^4-10*x^3-6*x^2+16*x-5)/(x^5-6*x^4-x^3+10*x^2-6*x+1) ogf] A126365 5.54682 [-(6*x^6+4*x^5-34*x^4-6*x^3+26*x^2-5*x-1)/(x^2+2*x-1)/(2*x^4-4*x^3-2*x^2+4*x-1) ogf] A126366 5.07693 [-(3*x^6+22*x^5-25*x^4-34*x^3+35*x^2-5*x-1)/(x^6+6*x^5-11*x^4-6*x^3+15*x^2-7*x+1) ogf] A126367 4.77955 [-(4*x^7-23*x^6-38*x^5+59*x^4+30*x^3-40*x^2+6*x+1)/(x-1)/(x^6-6*x^5-13*x^4+8*x^3+8*x^2-6*x+1) ogf] A126368 4.49730 [-(8*x^7+x^6-72*x^5+25*x^4+75*x^3-51*x^2+6*x+1)/(2*x-1)/(x^2-3*x+1)/(x^4+3*x^3-x^2-3*x+1) ogf] A126369 4.00348 [-(4*x^8+37*x^7-33*x^6-121*x^5+75*x^4+73*x^3-57*x^2+7*x+1)/(x^8+8*x^7-12*x^6-24*x^5+30*x^4+8*x^3-20*x^2+8*x-1) ogf] A126370 4.02360 [-(5*x^8-39*x^7-48*x^6+161*x^5+5*x^4-139*x^3+70*x^2-7*x-1)/(x^8-9*x^7-6*x^6+39*x^5-15*x^4-29*x^3+28*x^2-9*x+1) ogf] A126371 3.76160 [-(10*x^9+6*x^8-132*x^7-17*x^6+266*x^5-62*x^4-140*x^3+77*x^2-8*x-1)/(x-1)/(2*x^2+2*x-1)/(x^6-12*x^4+4*x^3+9*x^2-6*x+1) ogf] A126372 3.57456 [-(5*x^9+51*x^8-87*x^7-202*x^6+281*x^5+91*x^4-231*x^3+92*x^2-8*x-1)/(x^9+9*x^8-21*x^7-30*x^6+69*x^5-7*x^4-49*x^3+36*x^2-10*x+1) ogf] A126376 3.67097 [-27*f(x)^2*x^3+27*f(x)^2*x^2-360*f(x)*x^3-9*f(x)^2*x+222*f(x)*x^2-1201*x^3+f(x)^2-28*f(x)*x+279*x^2-2*f(x)+37*x+1 ogf] A126377 3.68905 [-27*f(x)^2*x^3+27*f(x)^2*x^2-378*f(x)*x^3-9*f(x)^2*x+234*f(x)*x^2-1324*x^3+f(x)^2-30*f(x)*x+314*x^2-2*f(x)+39*x+1 ogf] A126377 3.81774 [{-9*a(n)*n+(-3*n-12)*a(n+1)+(5*n+10)*a(n+2)+(-n-2)*a(n+3),a(0)=1,a(1)=23,a(2)=67} ogf] A126378 3.68905 [-27*f(x)^2*x^3+27*f(x)^2*x^2-396*f(x)*x^3-9*f(x)^2*x+246*f(x)*x^2-1453*x^3+f(x)^2-32*f(x)*x+351*x^2-2*f(x)+41*x+1 ogf] A126378 3.81774 [{9*a(n)*n+(3*n+12)*a(n+1)+(-5*n-10)*a(n+2)+(n+2)*a(n+3),a(0)=1,a(1)=24,a(2)=70} ogf] A126379 3.70713 [-27*f(x)^2*x^3+27*f(x)^2*x^2-414*f(x)*x^3-9*f(x)^2*x+258*f(x)*x^2-1588*x^3+f(x)^2-34*f(x)*x+390*x^2-2*f(x)+43*x+1 ogf] A126379 3.83645 [{9*a(n)*n+(3*n+12)*a(n+1)+(-5*n-10)*a(n+2)+(n+2)*a(n+3),a(0)=1,a(1)=25,a(2)=73} ogf] A126380 3.70713 [-27*f(x)^2*x^3+27*f(x)^2*x^2-432*f(x)*x^3-9*f(x)^2*x+270*f(x)*x^2-1729*x^3+f(x)^2-36*f(x)*x+431*x^2-2*f(x)+45*x+1 ogf] A126380 3.83645 [{9*a(n)*n+(3*n+12)*a(n+1)+(-5*n-10)*a(n+2)+(n+2)*a(n+3),a(0)=1,a(1)=26,a(2)=76} ogf] A126381 3.70713 [-27*f(x)^2*x^3+27*f(x)^2*x^2-450*f(x)*x^3-9*f(x)^2*x+282*f(x)*x^2-1876*x^3+f(x)^2-38*f(x)*x+474*x^2-2*f(x)+47*x+1 ogf] A126381 3.83645 [{9*a(n)*n+(3*n+12)*a(n+1)+(-5*n-10)*a(n+2)+(n+2)*a(n+3),a(0)=1,a(1)=27,a(2)=79} ogf] A126382 3.42801 [-27*f(x)^2*x^3+27*f(x)^2*x^2-468*f(x)*x^3-9*f(x)^2*x+294*f(x)*x^2-2029*x^3+f(x)^2-40*f(x)*x+519*x^2-2*f(x)+49*x+1 ogf] A126382 3.54759 [{9*a(n)*n+(3*n+12)*a(n+1)+(-5*n-10)*a(n+2)+(n+2)*a(n+3),a(0)=1,a(1)=28,a(2)=82} ogf] A126383 3.42801 [-27*f(x)^2*x^3+27*f(x)^2*x^2-486*f(x)*x^3-9*f(x)^2*x+306*f(x)*x^2-2188*x^3+f(x)^2-42*f(x)*x+566*x^2-2*f(x)+51*x+1 ogf] A126383 3.54759 [{-9*a(n)*n+(-3*n-12)*a(n+1)+(5*n+10)*a(n+2)+(-n-2)*a(n+3),a(0)=1,a(1)=29,a(2)=85} ogf] A126384 3.42801 [-27*f(x)^2*x^3+27*f(x)^2*x^2-504*f(x)*x^3-9*f(x)^2*x+318*f(x)*x^2-2353*x^3+f(x)^2-44*f(x)*x+615*x^2-2*f(x)+53*x+1 ogf] A126384 3.54759 [{-9*a(n)*n+(-3*n-12)*a(n+1)+(5*n+10)*a(n+2)+(-n-2)*a(n+3),a(0)=1,a(1)=30,a(2)=88} ogf] A126385 3.44587 [-27*f(x)^2*x^3+27*f(x)^2*x^2-522*f(x)*x^3-9*f(x)^2*x+330*f(x)*x^2-2524*x^3+f(x)^2-46*f(x)*x+666*x^2-2*f(x)+55*x+1 ogf] A126385 3.56607 [{-9*a(n)*n+(-3*n-12)*a(n+1)+(5*n+10)*a(n+2)+(-n-2)*a(n+3),a(0)=1,a(1)=31,a(2)=91} ogf] A126386 3.44587 [-27*f(x)^2*x^3+27*f(x)^2*x^2-540*f(x)*x^3-9*f(x)^2*x+342*f(x)*x^2-2701*x^3+f(x)^2-48*f(x)*x+719*x^2-2*f(x)+57*x+1 ogf] A126386 3.56607 [{-9*a(n)*n+(-3*n-12)*a(n+1)+(5*n+10)*a(n+2)+(-n-2)*a(n+3),a(0)=1,a(1)=32,a(2)=94} ogf] A126390 18.6054 [2*a(n)+(-n-1)*a(n+1),a(0)=3,a(1)=4 lgdegf] A126392 12.3524 [-(x^2-x-1)/(x^3-4*x+1) ogf] A126392 14.5901 [-(5-2*x+x^2-2*x^3+x^4)/(x^2-x-1)/(x^3-4*x+1) lgdogf] A126392 6.81957 [(131*f(x)+30)*(f(x)*x^3-4*f(x)*x+x^2+f(x)-x-1) ogf] A126392 6.89135 [{a(n+3)-4*a(n+2)+a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A126393 12.6726 [-2*(3+2*x^3+x^4)/(x^3-x^2-4*x+1)/(x^3+x^2-2*x-1) lgdogf] A126393 4.59872 [{-a(n+4)+4*a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=24,a(3)=100} ogf] A126393 4.96662 [-(25+47*f(x))*(f(x)*x^3-f(x)*x^2+x^3-4*f(x)*x+x^2+f(x)-2*x-1) ogf] A126393 8.99749 [-(x^3+x^2-2*x-1)/(x^3-x^2-4*x+1) ogf] A126394 3.95317 [(11*f(x)-40)*(2*f(x)*x^4-4*f(x)*x^3+2*x^4-2*f(x)*x^2-2*x^3+5*f(x)*x-4*x^2-f(x)+2*x+1) ogf] A126394 6.83666 [-(2*x^4-2*x^3-4*x^2+2*x+1)/(x-1)/(2*x^3-2*x^2-4*x+1) ogf] A126395 4.37325 [{-a(n+4)+5*a(n+3)-a(n+2)-6*a(n+1),a(0)=1,a(1)=8,a(2)=34,a(3)=150} ogf] A126395 4.7612 [(701+1081*f(x))*(6*f(x)*x^3+f(x)*x^2+6*x^3-5*f(x)*x+5*x^2+f(x)-3*x-1) ogf] A126395 8.50036 [-2*(4-6*x-7*x^2+12*x^3+12*x^4)/(6*x^3+x^2-5*x+1)/(6*x^3+5*x^2-3*x-1) lgdogf] A126395 8.55636 [-(6*x^3+5*x^2-3*x-1)/(6*x^3+x^2-5*x+1) ogf] A126396 5.87904 [-(2*x^5+6*x^4-6*x^3-10*x^2+3*x+1)/(2*x^5+4*x^4-8*x^3-5*x^2+6*x-1) ogf] A126397 4.27485 [-(30205*f(x)+39407)*(f(x)*x^4+x^4-11*f(x)*x^2+2*x^3+7*f(x)*x-15*x^2-f(x)+3*x+1) ogf] A126397 6.94575 [-2*(5-26*x+39*x^2-10*x^3+5*x^4-4*x^5+x^6)/(x^4-11*x^2+7*x-1)/(x^4+2*x^3-15*x^2+3*x+1) lgdogf] A126397 7.62978 [-(x^4+2*x^3-15*x^2+3*x+1)/(x^4-11*x^2+7*x-1) ogf] A126398 5.13470 [-(2*x^6-x^5-19*x^4+8*x^3+19*x^2-4*x-1)/(x^6-2*x^5-11*x^4+11*x^3+9*x^2-7*x+1) ogf] A126399 5.13470 [-(4*x^6-7*x^5-21*x^4+17*x^3+22*x^2-5*x-1)/(2*x^6-5*x^5-9*x^4+15*x^3+8*x^2-7*x+1) ogf] A126400 5.05121 [-(18*x^6+3*x^5-50*x^4+3*x^3+31*x^2-5*x-1)/(x-1)/(9*x^5+6*x^4-19*x^3-7*x^2+7*x-1) ogf] A126401 4.39711 [-(4*x^7+17*x^6-18*x^5-63*x^4+13*x^3+35*x^2-6*x-1)/(2*x^7+7*x^6-12*x^5-25*x^4+17*x^3+13*x^2-8*x+1) ogf] A126402 3.59981 [-(2*x^8+5*x^7-52*x^6-25*x^5+102*x^4+14*x^3-46*x^2+6*x+1)/(x^8+x^7-23*x^6-x^5+46*x^4-10*x^3-20*x^2+9*x-1) ogf] A126403 3.61896 [-(3*x^8-2*x^7-61*x^6+10*x^5+131*x^4+4*x^3-51*x^2+7*x+1)/(x^8-2*x^7-23*x^6+14*x^5+49*x^4-16*x^3-19*x^2+9*x-1) ogf] A126404 3.17908 [-(6*x^9-20*x^8-50*x^7+120*x^6+100*x^5-171*x^4-48*x^3+64*x^2-7*x-1)/(2*x^9-8*x^8-14*x^7+50*x^6+19*x^5-73*x^4+4*x^3+27*x^2-10*x+1) ogf] A126405 3.52719 [-(36*x^8+22*x^7-172*x^6-61*x^5+220*x^4+39*x^3-70*x^2+8*x+1)/(12*x^8+2*x^7-60*x^6+x^5+80*x^4-11*x^3-26*x^2+10*x-1) ogf] A126420 10.9417 [(x^3-3*x^2+9*x-1)/(x-1)^4 ogf] A126420 19.3308 [-(5+21*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2+9*x-1) lgdogf] A126420 4.62917 [{(-3*n^2-19*n-26)*a(n+1)+(10*n^2+64*n+98)*a(n+2)+(-7*n^2-33*n-36)*a(n+3),a(0)=-1,a(1)=5,a(2)=23} ogf] A126420 5.97524 [(334*f(x)+883)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-9*x+1) ogf] A126423 15.8184 [-(-13-76*x-24*x^2-8*x^3+x^4)/(x-1)/(x^4-6*x^3-2*x^2-18*x+1) lgdogf] A126423 9.83701 [(x^4-6*x^3-2*x^2-18*x+1)/(x-1)^5 ogf] A126426 11.3215 [-(29+275*x+x^5+320*x^2+100*x^3-5*x^4)/(x-1)/(x^5-5*x^4+40*x^3+50*x^2+35*x-1) lgdogf] A126426 7.57401 [(x^5-5*x^4+40*x^3+50*x^2+35*x-1)/(x-1)^6 ogf] A126431 12.3694 [10*x/(10*x-1)^2 ogf] A126431 19.9458 [2/5*x/(1+(4*x+1)^(1/2))^2 revogf] A126431 5.96641 [{a(n+2)-20*a(n+1)+100*a(n),a(0)=0,a(1)=10} ogf] A126431 8.04992 [-100*f(x)*x^2+20*f(x)*x-f(x)+10*x ogf] A126473 13.3258 [-(x+1)/(3*x^2+4*x-1) ogf] A126473 13.9833 [1/2/(1+3*x)*(-4*x-1+(28*x^2+12*x+1)^(1/2)) revogf] A126473 17.2735 [-(5+6*x+3*x^2)/(x+1)/(3*x^2+4*x-1) lgdogf] A126473 7.31295 [{a(n+2)-4*a(n+1)-3*a(n),a(0)=1,a(1)=5} ogf] A126473 8.38858 [(26*f(x)-1)*(3*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A126474 12.5240 [-2*(3-2*x^3+x^4)/(x^2-x-1)/(2*x^3-x^2-5*x+1) lgdogf] A126474 4.81399 [-(61*f(x)+11)*(2*f(x)*x^3-f(x)*x^2-5*f(x)*x+x^2+f(x)-x-1) ogf] A126474 4.98439 [{a(n+3)-5*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=6,a(2)=30} ogf] A126474 9.23338 [-(x^2-x-1)/(2*x^3-x^2-5*x+1) ogf] A126475 4.01037 [-(136*f(x)-437)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+x^3-5*f(x)*x+x^2+f(x)-2*x-1) ogf] A126475 7.55199 [-(x^3+x^2-2*x-1)/(x^4+2*x^3-3*x^2-5*x+1) ogf] A126475 7.69358 [-(7+4*x+x^6+2*x^2-2*x^3-x^4+2*x^5)/(x^3+x^2-2*x-1)/(x^4+2*x^3-3*x^2-5*x+1) lgdogf] A126476 3.97818 [-(5*f(x)-17)*(f(x)*x^4-3*f(x)*x^3+x^4-f(x)*x^2-x^3+6*f(x)*x-3*x^2-f(x)+2*x+1) ogf] A126476 7.02031 [-(x-1)*(x^3-3*x-1)/(x^4-3*x^3-x^2+6*x-1) ogf] A126476 7.49420 [-2*(4-4*x+2*x^2+4*x^3-2*x^4-2*x^5+x^6)/(x-1)/(x^3-3*x-1)/(x^4-3*x^3-x^2+6*x-1) lgdogf] A126477 3.91585 [(305*f(x)+56)*(2*f(x)*x^4-2*f(x)*x^3+2*x^4-6*f(x)*x^2+7*f(x)*x-6*x^2-f(x)+2*x+1) ogf] A126477 7.11973 [-(2*x^4-6*x^2+2*x+1)/(x-1)/(2*x^3-6*x+1) ogf] A126477 7.14981 [-(9-24*x+4*x^6+8*x^3-18*x^4+24*x^2)/(x-1)/(2*x^3-6*x+1)/(2*x^4-6*x^2+2*x+1) lgdogf] A126478 3.63767 [-(373*f(x)+657)*(6*f(x)*x^4-10*f(x)*x^3+6*x^4-4*f(x)*x^2-6*x^3+7*f(x)*x-8*x^2-f(x)+3*x+1) ogf] A126478 5.65174 [-2*(5-12*x+12*x^6-24*x^5+36*x^3-8*x^4-2*x^2)/(6*x^4-10*x^3-4*x^2+7*x-1)/(6*x^4-6*x^3-8*x^2+3*x+1) lgdogf] A126478 6.51398 [-(6*x^4-6*x^3-8*x^2+3*x+1)/(6*x^4-10*x^3-4*x^2+7*x-1) ogf] A126479 5.41536 [-(8*x^5+6*x^4-16*x^3-10*x^2+4*x+1)/(8*x^5+2*x^4-18*x^3-2*x^2+7*x-1) ogf] A126480 5.39796 [-(6*x^5+14*x^4-14*x^3-16*x^2+4*x+1)/(6*x^5+10*x^4-18*x^3-8*x^2+8*x-1) ogf] A126481 4.36782 [-(2*x^7+2*x^6-20*x^5-16*x^4+29*x^3+19*x^2-5*x-1)/(2*x^7-18*x^5-5*x^4+28*x^3+6*x^2-8*x+1) ogf] A126482 4.12983 [-(x^7+5*x^6-8*x^5-35*x^4+21*x^3+27*x^2-5*x-1)/(x^7+3*x^6-10*x^5-21*x^4+25*x^3+13*x^2-9*x+1) ogf] A126483 3.67830 [-(2*x^8-5*x^7-19*x^6+35*x^5+48*x^4-40*x^3-31*x^2+6*x+1)/(x^8-4*x^7-8*x^6+29*x^5+20*x^4-37*x^3-11*x^2+9*x-1) ogf] A126484 3.69285 [-(4*x^8+x^7-39*x^6+6*x^5+83*x^4-22*x^3-41*x^2+6*x+1)/(2*x^8-x^7-21*x^6+14*x^5+45*x^4-30*x^3-19*x^2+10*x-1) ogf] A126485 3.59853 [-(18*x^8-27*x^7-89*x^6+63*x^5+118*x^4-44*x^3-46*x^2+7*x+1)/(x-1)/(9*x^7-9*x^6-49*x^5+2*x^4+52*x^3+8*x^2-9*x+1) ogf] A126486 3.63899 [-(24*x^8+3*x^7-128*x^6-3*x^5+169*x^4-12*x^3-58*x^2+7*x+1)/(12*x^8-3*x^7-64*x^6+21*x^5+83*x^4-32*x^3-26*x^2+11*x-1) ogf] A126501 13.1929 [-(x+1)/(4*x^2+5*x-1) ogf] A126501 13.8453 [1/2/(4*x+1)*(-5*x-1+(41*x^2+14*x+1)^(1/2)) revogf] A126501 16.1529 [-2*(3+4*x+2*x^2)/(x+1)/(4*x^2+5*x-1) lgdogf] A126501 6.52398 [-(325*f(x)-1)*(4*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A126501 7.24001 [{a(n+2)-5*a(n+1)-4*a(n),a(0)=1,a(1)=6} ogf] A126502 10.0412 [-(7+2*x-6*x^3+3*x^4-x^2)/(x^2-x-1)/(3*x^3-2*x^2-6*x+1) lgdogf] A126502 4.61842 [-(2129*f(x)+302)*(3*f(x)*x^3-2*f(x)*x^2-6*f(x)*x+x^2+f(x)-x-1) ogf] A126502 4.90451 [{a(n+3)-6*a(n+2)-2*a(n+1)+3*a(n),a(0)=1,a(1)=7,a(2)=43} ogf] A126502 9.08541 [-(x^2-x-1)/(3*x^3-2*x^2-6*x+1) ogf] A126503 4.11644 [(23*f(x)-11)*(2*f(x)*x^4+3*f(x)*x^3-5*f(x)*x^2+x^3-6*f(x)*x+x^2+f(x)-2*x-1) ogf] A126503 7.00252 [-2*(4+4*x+x^6+2*x^2-4*x^3-2*x^4+2*x^5)/(x^3+x^2-2*x-1)/(2*x^4+3*x^3-5*x^2-6*x+1) lgdogf] A126503 7.43096 [-(x^3+x^2-2*x-1)/(2*x^4+3*x^3-5*x^2-6*x+1) ogf] A126504 6.90780 [-(x-1)*(x^3-3*x-1)/(x^5-6*x^3+x^2+7*x-1) ogf] A126505 5.93214 [-(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x^5-x^4-6*x^3+3*x^2+7*x-1) ogf] A126506 5.15367 [-(x^2+x-1)*(2*x^4-4*x^3-2*x^2+4*x+1)/(x-1)/(2*x^5-2*x^4-8*x^3+5*x^2+7*x-1) ogf] A126507 6.49600 [-(6*x^5+6*x^4-14*x^3-8*x^2+4*x+1)/(6*x^5+2*x^4-18*x^3+8*x-1) ogf] A126508 5.04159 [-(8*x^6-8*x^5-22*x^4+16*x^3+14*x^2-4*x-1)/(8*x^6-12*x^5-18*x^4+26*x^3+6*x^2-9*x+1) ogf] A126509 5.85148 [-(20*x^5+14*x^4-30*x^3-16*x^2+5*x+1)/(20*x^5+6*x^4-34*x^3-4*x^2+9*x-1) ogf] A126510 5.11466 [-(8*x^6+24*x^5-6*x^4-48*x^3-18*x^2+6*x+1)/(8*x^6+20*x^5-14*x^4-42*x^3-2*x^2+9*x-1) ogf] A126511 5.54473 [-(6*x^6+8*x^5-40*x^4-70*x^3-20*x^2+7*x+1)/(6*x^6+4*x^5-40*x^4-50*x^3+9*x-1) ogf] A126512 4.03854 [-(2*x^8+8*x^7-10*x^6-56*x^5-7*x^4+74*x^3+30*x^2-7*x-1)/(2*x^8+6*x^7-14*x^6-43*x^5+13*x^4+60*x^3+7*x^2-10*x+1) ogf] A126528 13.2668 [1/2/(5*x+1)*(-1-6*x+(1+16*x+56*x^2)^(1/2)) revogf] A126528 15.5926 [-(x+1)/(5*x^2+6*x-1) ogf] A126528 15.9202 [-(7+10*x+5*x^2)/(x+1)/(5*x^2+6*x-1) lgdogf] A126528 8.15891 [(52*f(x)-3)*(5*f(x)*x^2+6*f(x)*x-f(x)+x+1) ogf] A126528 8.55690 [{a(n+2)-6*a(n+1)-5*a(n),a(0)=1,a(1)=7} ogf] A126529 10.3781 [-2*(4+2*x-x^2-4*x^3+2*x^4)/(x^2-x-1)/(4*x^3-3*x^2-7*x+1) lgdogf] A126529 4.94296 [-(1163*f(x)+135)*(4*f(x)*x^3-3*f(x)*x^2-7*f(x)*x+x^2+f(x)-x-1) ogf] A126529 5.24916 [{a(n+3)-7*a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=8,a(2)=58} ogf] A126529 9.72385 [-(x^2-x-1)/(4*x^3-3*x^2-7*x+1) ogf] A126530 4.24395 [(15394*f(x)-3965)*(3*f(x)*x^4+4*f(x)*x^3-7*f(x)*x^2+x^3-7*f(x)*x+x^2+f(x)-2*x-1) ogf] A126530 7.48933 [-(9+12*x+3*x^6-7*x^4-14*x^3+6*x^5+6*x^2)/(x+1)/(3*x^3+x^2-8*x+1)/(x^3+x^2-2*x-1) lgdogf] A126530 7.93674 [-(x^3+x^2-2*x-1)/(x+1)/(3*x^3+x^2-8*x+1) ogf] A126531 6.70013 [-(x-1)*(x^3-3*x-1)/(x+1)/(2*x^4-3*x^3-6*x^2+9*x-1) ogf] A126531 6.71570 [-2*(5-4*x^6+5*x^4-10*x^3+8*x^5-2*x^7+x^8)/(x-1)/(x+1)/(x^3-3*x-1)/(2*x^4-3*x^3-6*x^2+9*x-1) lgdogf] A126532 5.21355 [-(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x+1)/(x^5+x^4-6*x^3-3*x^2+9*x-1) ogf] A126533 5.24645 [-(x^6-x^5-5*x^4+4*x^3+6*x^2-3*x-1)/(x^6-3*x^5-3*x^4+12*x^3-9*x+1) ogf] A126534 4.49655 [-(2*x^7+2*x^6-10*x^5-8*x^4+13*x^3+7*x^2-4*x-1)/(x-1)/(2*x^6+2*x^5-10*x^4-9*x^3+11*x^2+8*x-1) ogf] A126535 4.70160 [-(6*x^6-6*x^5-20*x^4+14*x^3+12*x^2-4*x-1)/(6*x^6-10*x^5-16*x^4+26*x^3+4*x^2-10*x+1) ogf] A126536 4.22737 [-(8*x^7+8*x^6-30*x^5-22*x^4+30*x^3+14*x^2-5*x-1)/(8*x^7+4*x^6-34*x^5-8*x^4+40*x^3+x^2-10*x+1) ogf] A126537 4.75283 [-(20*x^6-20*x^5-44*x^4+30*x^3+21*x^2-5*x-1)/(20*x^6-28*x^5-36*x^4+46*x^3+9*x^2-11*x+1) ogf] A126538 3.85383 [-(24*x^7+16*x^6-72*x^5-42*x^4+54*x^3+24*x^2-6*x-1)/(24*x^7+8*x^6-76*x^5-18*x^4+64*x^3+6*x^2-11*x+1) ogf] A126539 3.80103 [-(20*x^7+36*x^6-64*x^5-76*x^4+51*x^3+33*x^2-6*x-1)/(20*x^7+28*x^6-72*x^5-52*x^4+67*x^3+15*x^2-12*x+1) ogf] A126560 8.37578 [-2*(4*x^6-3*x^5+4*x^4+2*x^2-x+2)/(x-1)/(x^2+1)/(x^4+1) ogf] A126562 10.4602 [-x*(5*x^2-4*x-7)/(x-1)^4 ogf] A126562 20.9037 [-2*(-16-x+5*x^2)/(x-1)/(5*x^2-4*x-7) lgdogf] A126562 3.79900 [{(-21-7*n)*a(n+4)+(38+3*n)*a(n+3)+(11+9*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=7,a(2)=32,a(3)=81} ogf] A126562 5.41559 [(5700*f(x)+296957)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-4*x^2+f(x)-7*x) ogf] A126564 6.97416 [x^2*(x^9-x^8+x^6-x^5+x^3-x^2+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A126565 6.27102 [-x*(x^11-x^10+x^9-x^7+x^6-x^4+x^3-x+1)/(x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A126566 4.55241 [(16*f(x)-1)*(f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2+2*x^3-8*f(x)*x-9*x^2+f(x)+6*x-1) ogf] A126566 7.01644 [-2*(1-11*x+45*x^2-82*x^3+61*x^4-9*x^5+x^6)/(-1+2*x)/(1-4*x+x^2)/(x^4-16*x^3+20*x^2-8*x+1) lgdogf] A126566 8.06757 [-(2*x-1)*(x^2-4*x+1)/(x^4-16*x^3+20*x^2-8*x+1) ogf] A126567 5.20386 [-(2*x-1)*(2*x^4-16*x^3+20*x^2-8*x+1)/(3*x-1)/(x-1)/(x^4-16*x^3+20*x^2-8*x+1) ogf] A126568 6.67997 [-5*f(x)^2*x^2+11*f(x)^2*x-2*f(x)^2-5*f(x)*x+f(x)+1 ogf] A126569 4.59790 [-(2*x-1)*(2*x^2-4*x+1)*(x^4-16*x^3+20*x^2-8*x+1)/(x^8-96*x^7+440*x^6-784*x^5+714*x^4-364*x^3+105*x^2-16*x+1) ogf] A126587 12.9035 [-(x^2+8*x+3)/(x-1)^3 ogf] A126587 24.9024 [-(x+17)*(x+1)/(x-1)/(x^2+8*x+3) lgdogf] A126587 6.67044 [(3645*f(x)-23207)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+8*x+3) ogf] A126587 6.90449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=17,a(2)=43} ogf] A126590 9.40000 [(3*x^6+2*x^5+x^4+3*x^3+x^2+2*x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A126596 4.83728 [{(256*n^3+1408*n^2+2480*n+1400)*a(n+1)+(-27*n^3-162*n^2-321*n-210)*a(n+2),a(0)=1,a(1)=3} ogf] A126602 6.12568 [-2*(7975*x^7+4312*x^6+10875*x^5+5600*x^4+9570*x^3+4392*x^2+4368*x+4060)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A126617 21.2817 [-a(n)+(n+1)*a(n+1),a(0)=-1,a(1)=1 lgdegf] A126627 5.15050 [-(720*x^5-1764*x^4+1372*x^3-539*x^2+98*x-7)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126628 5.20295 [-2*(360*x^5-882*x^4+697*x^3-284*x^2+53*x-4)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126629 5.24839 [-2*(360*x^5-882*x^4+695*x^3-281*x^2+52*x-4)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126631 4.76187 [-(720*x^5-1764*x^4+1412*x^3-591*x^2+112*x-9)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126632 4.80658 [-(720*x^5-1764*x^4+1408*x^3-585*x^2+110*x-9)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126633 4.31851 [-2*(360*x^5-882*x^4+713*x^3-304*x^2+58*x-5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126634 6.43967 [-6*(20*x^4-39*x^3+31*x^2-9*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126635 6.55415 [-(120*x^4-242*x^3+197*x^2-58*x+7)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126639 6.55415 [-(120*x^4-238*x^3+191*x^2-56*x+7)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126640 6.64001 [-2*(60*x^4-123*x^3+101*x^2-30*x+4)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126641 6.69725 [-(120*x^4-250*x^3+207*x^2-62*x+9)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A126642 4.3138 [-(99925*f(x)+140772)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+24*x^3-10*f(x)*x-50*x^2+f(x)+25*x-5) ogf] A126642 4.48521 [{-a(n+4)+10*a(n+3)-35*a(n+2)+50*a(n+1)-24*a(n),a(0)=5,a(1)=25,a(2)=125,a(3)=601} ogf] A126642 5.55820 [-(25-250*x+3460*x^4-2500*x^3+576*x^6-2400*x^5+1053*x^2)/(x-1)/(4*x-1)/(-1+3*x)/(2*x-1)/(24*x^3-50*x^2+25*x-5) lgdogf] A126642 8.06269 [-(24*x^3-50*x^2+25*x-5)/(2*x-1)/(3*x-1)/(4*x-1)/(x-1) ogf] A126643 4.29171 [-(5825821*f(x)+8586732)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+24*x^3-10*f(x)*x-50*x^2+f(x)+26*x-6) ogf] A126643 5.69553 [-(17-160*x+288*x^6+1766*x^4-1348*x^3-1200*x^5+619*x^2)/(x-1)/(-1+4*x)/(3*x-1)/(2*x-1)/(12*x^3-25*x^2+13*x-3) lgdogf] A126643 8.17467 [-2*(12*x^3-25*x^2+13*x-3)/(2*x-1)/(3*x-1)/(4*x-1)/(x-1) ogf] A126644 24.0261 [ln((8+9*x)^(1/3)+1)-ln(3) revegf] A126644 5.24243 [(1379*f(x)+906)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-8*x+4) ogf] A126644 5.33360 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=4,a(1)=16,a(2)=58} ogf] A126644 8.83311 [-2*(4-19*x+31*x^2-24*x^3+9*x^4)/(-1+x)/(3*x-1)/(2*x-1)/(3*x^2-4*x+2) lgdogf] A126644 9.89297 [-2*(3*x^2-4*x+2)/(x-1)/(3*x-1)/(2*x-1) ogf] A126645 11.7712 [-(6*x^2-9*x+5)/(x-1)/(3*x-1)/(2*x-1) ogf] A126645 6.2915 [(359*f(x)+165)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-9*x+5) ogf] A126645 6.34621 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=5,a(1)=21,a(2)=77} ogf] A126645 8.67154 [-(21-98*x+153*x^2-108*x^3+36*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(6*x^2-9*x+5) lgdogf] A126646 14.9569 [1/2*ln(x+1)+arctanh((8*x+9)^(1/2))-arctanh(3) revegf] A126646 17.7122 [-(7-12*x+4*x^2)/(x-1)/(-1+2*x)/(2*x-3) lgdogf] A126646 20.8121 [1/(x-1)/(2*x-1) ogf] A126646 8.37559 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=3} ogf] A126646 8.47898 [(5*f(x)+4)*(2*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A126664 11.1045 [{a(n+4)-a(n+2),a(0)=0,a(1)=1,a(2)=6,a(3)=2} ogf] A126664 12.2667 [-(41*f(x)+272)*(f(x)*x^2+x^3+6*x^2-f(x)+x) ogf] A126664 19.9043 [-x*(x^2+6*x+1)/(x-1)/(x+1) ogf] A126664 26.0202 [-2*(3+2*x+3*x^2)/(x-1)/(x+1)/(x^2+6*x+1) lgdogf] A126665 13.4628 [-(43*x^2-98*x+53)/(x-1)^3 ogf] A126665 24.5176 [-(61-110*x+43*x^2)/(x-1)/(43*x^2-98*x+53) lgdogf] A126665 6.94855 [-(176*f(x)-56965)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+43*x^2-f(x)-98*x+53) ogf] A126665 7.49235 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=53,a(1)=61,a(2)=67} ogf] A126673 4.33717 [{(n^3+12*n^2+48*n+64)*a(n+1)+(-2*n^2-15*n-26)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=26} ogf] A126674 5.76556 [{(-2*n^2-8*n-8)*a(n+1)+(3*n+7)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A126694 10.9665 [-49*f(x)^2*x+6*f(x)^2-5*f(x)-1 ogf] A126696 11.8372 [-2*(1+x^2+x^4+x^6+x^8+10*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A126696 4.81071 [-x^10/(x+1)/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A126718 4.40557 [-(422629*f(x)+646356)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+24*x^3-10*f(x)*x-50*x^2+f(x)+27*x-7) ogf] A126718 8.28665 [-(24*x^3-50*x^2+27*x-7)/(2*x-1)/(3*x-1)/(4*x-1)/(x-1) ogf] A126719 13.2136 [-(13*x^2-38*x+23)/(x-1)^3 ogf] A126719 24.8143 [-(31-50*x+13*x^2)/(x-1)/(13*x^2-38*x+23) lgdogf] A126719 6.81994 [-(116*f(x)-18985)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)-38*x+23) ogf] A126719 7.35367 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=23,a(1)=31,a(2)=37} ogf] A126725 11.2401 [(12+20*x-x^4-4*x^3+x^5-4*x^2)/(x-2)/(x^2+2*x+2)/(x^2-2) lgdegf] A126804 24.5182 [-12*(x+1)/(1+2*x)/(-1+4*x) lgdegf] A126804 5.64178 [{(-4*n^2-22*n-30)*a(n+1)+(n+2)*a(n+2),a(0)=2,a(1)=24} ogf] A126811 18.0971 [x^7/(x^8+1) ogf_with_Euler_transform] A126852 7.45851 [-(24*x^11-17*x^10+41*x^9-6*x^8+22*x^7-13*x^6+15*x^5+4*x^4+2*x^3-3*x^2+7*x+8)/(x-1) ogf] A126866 14.2741 [(x+1)/(x^2-13*x+1) ogf] A126866 7.54724 [(45*f(x)+4)*(f(x)*x^2-13*f(x)*x+f(x)-x-1) ogf] A126866 7.81679 [{-a(n+2)+13*a(n+1)-a(n),a(0)=1,a(1)=14} ogf] A126869 15.3049 [-4*f(x)^2*x^2+f(x)^2-1 ogf] A126869 37.8419 [-4*x/(2*x-1)/(1+2*x) lgdogf] A126869 39.8336 [1/(1+4*x^2)^(1/2)*x revogf] A126869 5.98890 [{(-n-3)*a(n+3)+(8+4*n)*a(n+1),a(0)=1,a(1)=0,a(2)=2} ogf] A126898 4.49847 [(x^8+7*x^7+28*x^6+79*x^5+130*x^4+79*x^3+28*x^2+7*x+1)/(x-1)^8 ogf] A126898 6.54099 [-15*(x+1)*(x^6+6*x^5+21*x^4+40*x^3+21*x^2+6*x+1)/(x-1)/(x^8+7*x^7+28*x^6+79*x^5+130*x^4+79*x^3+28*x^2+7*x+1) lgdogf] A126899 30.7693 [[-3*x^2+9] ogf_with_Euler_transform] A126899 31.7372 [-9*(x+1)/(x-1)/(x^2+x+1) lgdogf] A126899 5.66277 [{(-n-3)*a(n+3)+9*a(n+2)+9*a(n+1)+n*a(n),a(0)=1,a(1)=9,a(2)=45} ogf] A126899 6.46499 [(x^2+x+1)^3/(x-1)^6 ogf] A126900 27.7263 [-18*(x+1)/(x-1)/(x^2+4*x+1) lgdogf] A126900 4.40662 [{(n+3)*a(n+3)+(-12+3*n)*a(n+2)+(-21-3*n)*a(n+1)-n*a(n),a(0)=1,a(1)=18,a(2)=144} ogf] A126900 6.09877 [(x^2+4*x+1)^3/(x-1)^6 ogf] A126901 14.3541 [-20*(x+1)*(x^2+4*x+1)/(x-1)/(x^4+6*x^3+16*x^2+6*x+1) lgdogf] A126901 4.63257 [(x^4+6*x^3+16*x^2+6*x+1)^2/(x-1)^8 ogf] A126902 4.96060 [(x^12+9*x^11+45*x^10+158*x^9+432*x^8+909*x^7+1302*x^6+909*x^5+432*x^4+158*x^3+45*x^2+9*x+1)/(x-1)^12 ogf] A126903 3.47326 [(x^10+12*x^9+67*x^8+232*x^7+562*x^6+1024*x^5+562*x^4+232*x^3+67*x^2+12*x+1)/(x-1)^10 ogf] A126904 26.4888 [-24*(x+1)/(x-1)/(x^2+4*x+1) lgdogf] A126904 4.21029 [{(n+3)*a(n+3)+(-18+3*n)*a(n+2)+(-27-3*n)*a(n+1)-n*a(n),a(0)=1,a(1)=24,a(2)=264} ogf] A126904 4.38784 [(x^2+4*x+1)^4/(x-1)^8 ogf] A126905 13.2928 [10*(-2-5*x^9+3*x^10)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) lgdogf] A126905 32.7917 [5*x^9+20 ogf_with_Euler_transform] A126919 5.08931 [(x^12+14*x^11+92*x^10+378*x^9+1093*x^8+2380*x^7+4096*x^6+2380*x^5+1093*x^4+378*x^3+92*x^2+14*x+1)/(x-1)^12 ogf] A126920 18.7203 [9*(-2+x^3-3*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A126920 23.8354 [-9*x^5+9*x^2+18 ogf_with_Euler_transform] A126921 9.90747 [(x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1)^2/(x-1)^12 ogf] A126922 4.51944 [(x^8+22*x^7+208*x^6+874*x^5+1480*x^4+874*x^3+208*x^2+22*x+1)/(x-1)^8 ogf] A126922 6.17970 [-30*(x+1)*(x^6+18*x^5+111*x^4+232*x^3+111*x^2+18*x+1)/(x-1)/(x^8+22*x^7+208*x^6+874*x^5+1480*x^4+874*x^3+208*x^2+22*x+1) lgdogf] A126926 26.7192 [-36*(x+1)/(x-1)/(x^2+4*x+1) lgdogf] A126926 4.24353 [{(n+3)*a(n+3)+(-30+3*n)*a(n+2)+(-39-3*n)*a(n+1)-n*a(n),a(0)=1,a(1)=36,a(2)=612} ogf] A126928 13.3152 [-40*(x+1)*(x^2+4*x+1)/(x-1)/(x^4+6*x^3+16*x^2+6*x+1) lgdogf] A126930 12.4290 [-1/2*(8*x^2-2*x-1+(-(2*x-1)*(2*x+1))^(1/2))/x/(2*x-1)/(2*x+1) lgdogf] A126930 34.4622 [-x*(x-1)/(1-2*x+2*x^2) revogf] A126930 5.31586 [{(4*n+8)*a(n+1)-2*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=-1,a(2)=2} ogf] A126930 9.25097 [2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x-f(x)+1 ogf] A126931 25.8852 [x*(1+3*x)/(1+6*x+10*x^2) revogf] A126931 8.12972 [10*f(x)^2*x^2-3*f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A126932 3.57909 [{(21*n+42)*a(n+1)+(8*n+44)*a(n+2)+(-11*n-44)*a(n+3)+(2*n+8)*a(n+4),a(0)=1,a(1)=4,a(2)=15,a(3)=55} ogf] A126932 7.81242 [21*f(x)^2*x^2-13*f(x)^2*x+2*f(x)^2+9*f(x)*x-3*f(x)+1 ogf] A126934 7.63877 [{(8*n^2+24*n+18)*a(n+1)+a(n+2),a(0)=1,a(1)=-2} ogf] A126935 11.1507 [-6*x*(x^2-4*x+2)/(x-1)^4 ogf] A126935 26.3711 [-2*(2-5*x+x^2)/(x-1)/(x^2-4*x+2) lgdogf] A126935 4.18153 [{(-6-2*n)*a(n+4)+(16+6*n)*a(n+3)+(-15-5*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=-12,a(2)=-24,a(3)=-30} ogf] A126935 6.14931 [(2*f(x)+15)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+6*x^3-4*f(x)*x-24*x^2+f(x)+12*x) ogf] A126939 6.84782 [-(-1-2*x+6*x^8+11*x^6-2*x^5-4*x^4-10*x^3+4*x^7-11*x^2+x^10)/(x^5+3*x^3+x-1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) lgdogf] A126939 8.16927 [(x^5+3*x^3+x-1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) ogf] A126940 6.54748 [-(-1-2*x+9*x^8+7*x^6-12*x^4-10*x^3+10*x^7-11*x^2+2*x^9+x^10)/(x^5+x^4+3*x^3+x-1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) lgdogf] A126940 7.52220 [(x^5+x^4+3*x^3+x-1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) ogf] A126941 7.17705 [-(-2-2*x+3*x^8+3*x^6-6*x^5-16*x^4-16*x^3+6*x^7-18*x^2)/(x-1)/(x^2+x+1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) lgdogf] A126941 9.33838 [2*x*(x-1)*(x^2+x+1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) ogf] A126942 8.29348 [-(2+4*x+9*x^6+12*x^5+22*x^4+12*x^3+4*x^7+19*x^2)/(1+x^2)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) lgdogf] A126942 9.33838 [-2*x*(x^2+1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) ogf] A126943 7.04163 [-(7+8*x+3*x^8+36*x^6+60*x^5+70*x^4+62*x^3+14*x^7+44*x^2)/(x+1)/(x^2+x+2)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) lgdogf] A126943 7.45621 [-2*x^2*(x+1)*(x^2+x+2)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) ogf] A126944 5.50133 [-(5+10*x+18*x^8+49*x^6+54*x^5+58*x^4+42*x^3+32*x^7+31*x^2+4*x^9+x^10)/(x^5+2*x^4+5*x^3+4*x^2+3*x+1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) lgdogf] A126944 6.83358 [-(x^5+2*x^4+5*x^3+4*x^2+3*x+1)/(x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1) ogf] A126945 5.50133 [-(5+10*x+23*x^8+59*x^6+72*x^5+66*x^4+50*x^3+42*x^7+31*x^2+6*x^9+x^10)/(x^5+3*x^4+5*x^3+4*x^2+3*x+1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) lgdogf] A126945 6.83358 [-(x^5+3*x^4+5*x^3+4*x^2+3*x+1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) ogf] A126946 7.39023 [-(-2-4*x+3*x^8-8*x^6-14*x^5-28*x^4-20*x^3+4*x^7-16*x^2)/(x^3-x^2-1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) lgdogf] A126946 8.49898 [2*x*(x^3-x^2-1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) ogf] A126947 8.20234 [-(2+4*x+12*x^6+14*x^5+27*x^4+16*x^3+4*x^7+19*x^2)/(1+x^2)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) lgdogf] A126947 9.33838 [-2*x*(x^2+1)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) ogf] A126948 6.84782 [-(6+10*x+3*x^8+50*x^6+68*x^5+84*x^4+56*x^3+20*x^7+41*x^2)/(x^3+3*x^2+2*x+2)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) lgdogf] A126948 7.45621 [-2*x^2*(x^3+3*x^2+2*x+2)/(x^6+4*x^5+4*x^4+7*x^3+x^2+2*x-1) ogf] A126950 10.5990 [-(-15-33*x-5*x^4+4*x^3+x^5-48*x^2)/(x-1)/(x+1)/(x^4-4*x^3+4*x^2-12*x-1) lgdogf] A126950 8.16263 [-(x^4-4*x^3+4*x^2-12*x-1)/(x+1)/(x-1)^4 ogf] A126951 10.6311 [-(1+4*x-8*x^3+25*x^4+4*x^5+3*x^6+19*x^2)/(x-1)/(x+1)/(x^5+x^4+4*x^3-2*x^2+x+1) lgdogf] A126951 8.71468 [(x^5+x^4+4*x^3-2*x^2+x+1)/(x-1)^4/(x+1)^4 ogf] A126952 6.50699 [-5*f(x)^2*x^2-14*f(x)^2*x+3*f(x)^2+10*f(x)*x-2*f(x)-1 ogf] A126958 15.1250 [-2*(-1+11*x+3*x^3-18*x^2)/(x-1)/(3*x^3-15*x^2+13*x-3) lgdogf] A126958 3.93428 [{(277*n^2+2153*n+3966)*a(n+1)+(-448*n^2-2740*n-3792)*a(n+2)+(171*n^2+1011*n+1494)*a(n+3),a(0)=36,a(1)=24,a(2)=-60} ogf] A126958 8.50313 [12*(3*x^3-15*x^2+13*x-3)/(x-1)^5 ogf] A126962 8.57954 [-2*f(x)^2*x^4-3*f(x)^2*x^2+4*f(x)*x^2-f(x)^2+2*f(x)-1 egf] A126964 13.8336 [-2*x*(7*x+5)/(x-1)^3 ogf] A126964 32.1959 [-2*(11+7*x)/(7*x+5)/(x-1) lgdogf] A126964 6.91678 [(53784*f(x)-424337)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+10*x) ogf] A126964 7.22283 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=44} ogf] A126965 13.4232 [3/16-3/8*x-1/16*x^2-1/16*((x^2+6*x+1)*(x+3)^2)^(1/2) revegf] A126965 4.13446 [{(12*n^2+42*n+36)*a(n+1)+(-2*n^2-19*n-29)*a(n+2)+(n+3)*a(n+3),a(0)=-1,a(1)=1,a(2)=9} ogf] A126965 7.44203 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+16*x^2-8*x+1 egf] A126966 11.1405 [-4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2-4*x+1 ogf] A126966 39.1930 [-4*x/(-1+4*x)/(2*x-1) lgdogf] A126966 4.94313 [{(-n-3)*a(n+3)+(6*n+12)*a(n+2)+(-12-8*n)*a(n+1),a(0)=1,a(1)=0,a(2)=-2} ogf] A126967 4.62113 [{(8*n^2+28*n+24)*a(n+1)+(6*n+12)*a(n+2)+a(n+3),a(0)=1,a(1)=0,a(2)=-4} ogf] A126967 9.93199 [-4*f(x)^2*x^2-4*f(x)^2*x-f(x)^2+4*x+1 egf] A126972 7.72639 [-(x^6-4*x^5+6*x^4-3*x^3-2*x^2+2*x-1)/(x-1)^4 ogf] A126978 15.3178 [-(9873*x-9977)/(x-1)^2 ogf] A126978 15.9765 [-1/2*(-9977-2*x+(99540529+416*x)^(1/2))/(9873+x) revogf] A126978 21.3020 [-(-10081+9873*x)/(x-1)/(9873*x-9977) lgdogf] A126978 7.81207 [(208*f(x)+99551345)*(f(x)*x^2-2*f(x)*x+f(x)+9873*x-9977) ogf] A126978 8.77761 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9977,a(1)=10081} ogf] A126979 16.6699 [-(209*x-233)/(x-1)^2 ogf] A126979 19.0795 [-1/2*(-233-2*x+(54289+96*x)^(1/2))/(209+x) revogf] A126979 25.8496 [-(-257+209*x)/(x-1)/(209*x-233) lgdogf] A126979 8.68961 [(48*f(x)+54865)*(f(x)*x^2-2*f(x)*x+f(x)+209*x-233) ogf] A126979 9.49794 [{-a(n+2)+2*a(n+1)-a(n),a(0)=233,a(1)=257} ogf] A126980 16.9821 [-(33*x-47)/(x-1)^2 ogf] A126980 20.0624 [-1/2*(-47-2*x+(2209+56*x)^(1/2))/(33+x) revogf] A126980 28.9790 [-(-61+33*x)/(x-1)/(33*x-47) lgdogf] A126980 8.771 [(28*f(x)+2405)*(f(x)*x^2-2*f(x)*x+f(x)+33*x-47) ogf] A126980 9.50192 [{-a(n+2)+2*a(n+1)-a(n),a(0)=47,a(1)=61} ogf] A126982 10.6629 [9*f(x)^2*x+4*f(x)^2-5*f(x)+1 ogf] A126982 14.1908 [3/2*(3-12*x+5*(-4*x+1)^(1/2))/(9*x+4)/(4*x-1) lgdogf] A126982 16.3740 [-1/2*(-5+9*x+3*((9*x-1)*(x-1))^(1/2))*x revogf] A126982 3.83306 [{(-36*n-54)*a(n+1)+(-7*n+3)*a(n+2)+(4*n+12)*a(n+3),a(0)=1,a(1)=-3,a(2)=6} ogf] A126983 10.189 [f(x)^2*x+2*f(x)^2-3*f(x)+1 ogf] A126983 14.9717 [1/2*(1-4*x+3*(1-4*x)^(1/2))/(x+2)/(-1+4*x) lgdogf] A126983 20.2843 [-1/2*(-3+x+(1-6*x+x^2)^(1/2))*x revogf] A126983 3.76103 [{(-4*n-6)*a(n+1)+(-7*n-9)*a(n+2)+(2*n+6)*a(n+3),a(0)=1,a(1)=-1,a(2)=0} ogf] A126984 12.2989 [-4*f(x)^2*x-3*f(x)^2+4*f(x)-1 ogf] A126984 17.7717 [2*(1-4*x+2*(1-4*x)^(1/2))/(3+4*x)/(-1+4*x) lgdogf] A126984 24.0778 [-(-2+2*x+(1-8*x+4*x^2)^(1/2))*x revogf] A126984 4.45024 [{(16*n+24)*a(n+1)+(8*n+6)*a(n+2)+(-3*n-9)*a(n+3),a(0)=1,a(1)=-2,a(2)=2} ogf] A126985 12.6895 [64*f(x)^2*x+9*f(x)^2-10*f(x)+1 ogf] A126985 16.9305 [8*(4-16*x+5*(1-4*x)^(1/2))/(64*x+9)/(-1+4*x) lgdogf] A126985 19.1010 [-(-5+32*x+4*((16*x-1)*(4*x-1))^(1/2))*x revogf] A126985 4.54908 [{(-256*n-384)*a(n+1)+(28*n+138)*a(n+2)+(9*n+27)*a(n+3),a(0)=1,a(1)=-8,a(2)=56} ogf] A126986 13.3011 [16*f(x)^2*x+5*f(x)^2-6*f(x)+1 ogf] A126986 18.0121 [4*(2-8*x+3*(1-4*x)^(1/2))/(16*x+5)/(-1+4*x) lgdogf] A126986 22.1292 [-(-3+8*x+2*(1-12*x+16*x^2)^(1/2))*x revogf] A126986 4.80555 [{(-64*n-96)*a(n+1)+(-4*n+18)*a(n+2)+(5*n+15)*a(n+3),a(0)=1,a(1)=-4,a(2)=12} ogf] A126987 13.1054 [25*f(x)^2*x+6*f(x)^2-7*f(x)+1 ogf] A126987 16.5143 [5/2*(5-20*x+7*(1-4*x)^(1/2))/(25*x+6)/(-1+4*x) lgdogf] A126987 18.9914 [-1/2*(-7+25*x+5*(1-14*x+25*x^2)^(1/2))*x revogf] A126987 4.67455 [{(-100*n-150)*a(n+1)+(n+39)*a(n+2)+(6*n+18)*a(n+3),a(0)=1,a(1)=-5,a(2)=20} ogf] A127002 8.08897 [-x^6*(3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A127002 9.02766 [-(2+10*x+17*x^2+44*x^4+33*x^3+21*x^7+37*x^6+52*x^5)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A127016 12.0882 [49*f(x)^2*x+8*f(x)^2-9*f(x)+1 ogf] A127016 15.1864 [7/2*(7-28*x+9*(1-4*x)^(1/2))/(49*x+8)/(-1+4*x) lgdogf] A127016 17.4644 [-1/2*(-9+49*x+7*(1-18*x+49*x^2)^(1/2))*x revogf] A127016 4.28442 [{(-196*n-294)*a(n+1)+(17*n+99)*a(n+2)+(8*n+24)*a(n+3),a(0)=1,a(1)=-7,a(2)=42} ogf] A127017 13.45 [36*f(x)^2*x+7*f(x)^2-8*f(x)+1 ogf] A127017 17.6960 [6*(3-12*x+4*(1-4*x)^(1/2))/(36*x+7)/(-1+4*x) lgdogf] A127017 21.6284 [-(-4+18*x+3*(1-16*x+36*x^2)^(1/2))*x revogf] A127017 4.79744 [{(-144*n-216)*a(n+1)+(8*n+66)*a(n+2)+(7*n+21)*a(n+3),a(0)=1,a(1)=-6,a(2)=30} ogf] A127053 11.8631 [81*f(x)^2*x+10*f(x)^2-11*f(x)+1 ogf] A127053 17.2275 [-1/2*(-11+81*x+9*(1-22*x+81*x^2)^(1/2))*x revogf] A127053 4.30039 [{(-324*n-486)*a(n+1)+(41*n+183)*a(n+2)+(10*n+30)*a(n+3),a(0)=1,a(1)=-9,a(2)=72} ogf] A127067 35.7677 [1/(1+2*x-x^2)^(1/2)*x revegf] A127069 4.82203 [-(889*f(x)+10992)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+48*x^2-f(x)-60*x+15) ogf] A127146 13.3382 [-(23*x^2-33*x+12)/(x-1)^3 ogf] A127146 22.1951 [-(3-20*x+23*x^2)/(x-1)/(23*x^2-33*x+12) lgdogf] A127146 6.94018 [-(540*f(x)+2851)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+23*x^2-f(x)-33*x+12) ogf] A127146 7.55435 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=3,a(2)=-4} ogf] A127147 13.6243 [-(60*x^2-101*x+43)/(x-1)^3 ogf] A127147 21.0629 [-2*(3*x-2)*(10*x-7)/(x-1)/(60*x^2-101*x+43) lgdogf] A127147 7.02839 [-(1580*f(x)-66471)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+60*x^2-f(x)-101*x+43) ogf] A127147 7.70067 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=43,a(1)=28,a(2)=15} ogf] A127148 15.4513 [-(7*x-5)*(13*x^2-10*x+1)/(x-1)/(91*x^3-204*x^2+155*x-40) lgdogf] A127148 4.17495 [{(505*n^2+1251*n+482)*a(n+1)+(-856*n^2-1968*n-440)*a(n+2)+(351*n^2+1179*n+378)*a(n+3),a(0)=-120,a(1)=-15,a(2)=48} ogf] A127148 5.29182 [-(1964*f(x)+384585)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-273*x^3-4*f(x)*x+612*x^2+f(x)-465*x+120) ogf] A127148 9.77429 [3*(91*x^3-204*x^2+155*x-40)/(x-1)^4 ogf] A127154 4.25798 [f(x)^2*x^4+2*f(x)^2*x^3+3*f(x)^2*x^2-2*f(x)*x^3+f(x)^2*x-3*f(x)*x^2-2*f(x)*x+x^2-f(x)+2*x+1 ogf] A127161 8.48397 [(3-x+3*x^5+4*x^3-7*x^4+22*x^21+23*x^25-43*x^22+45*x^23-47*x^24)/(x-1)/(x^25-x^24+x^23-x^22+x^5-x^4+x-2) lgdogf] A127161 9.18454 [-(x^25-x^24+x^23-x^22+x^5-x^4+x-2)/(x-1)^2 ogf] A127189 13.5805 [-2*f(x)^2*x-f(x)^2+4*x+1 egf] A127189 40.0097 [1/(2*x+1)/(1+4*x) lgdegf] A127189 5.63935 [{(8*n^2+8*n)*a(n)+(6*n+5)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A127190 14.4217 [4*f(x)^2*x+f(x)^2-2*x-1 egf] A127190 40.0771 [-1/(1+2*x)/(4*x+1) lgdegf] A127190 5.98869 [{(8*n^2+8*n)*a(n)+(6*n+7)*a(n+1)+a(n+2),a(0)=1,a(1)=-1} ogf] A127193 4.79096 [(7*x^8+6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A127194 4.40791 [(8*x^9+7*x^8+6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A127195 5.76653 [-2*(1+4*x+36*x^6+18*x^4+12*x^3+28*x^5+8*x^2+32*x^7+40*x^8+16*x^9+16*x^10)/(1+2*x)/(2*x^4+2*x^2+1)/(8*x^6+4*x^4+2*x^2-1) lgdogf] A127195 7.86606 [-2*(2*x+1)*(2*x^4+2*x^2+1)/(8*x^6+4*x^4+2*x^2-1) ogf] A127210 13.6385 [-9*(1+2*x+6*x^2)/(6*x+1)/(9*x^2+3*x-1) lgdogf] A127210 14.0071 [1/6*(-1-x+(1+10*x+5*x^2)^(1/2))/(2+x) revogf] A127210 16.9266 [-3*(6*x+1)/(9*x^2+3*x-1) ogf] A127210 8.37229 [-(25*f(x)+168)*(9*f(x)*x^2+3*f(x)*x-f(x)+18*x+3) ogf] A127210 9.38099 [{a(n+2)-3*a(n+1)-9*a(n),a(0)=3,a(1)=27} ogf] A127211 12.9390 [-4*(8*x+1)/(16*x^2+4*x-1) ogf] A127211 14.9038 [-4*(3+8*x+32*x^2)/(8*x+1)/(16*x^2+4*x-1) lgdogf] A127211 16.1122 [1/8*(-1-x+(1+10*x+5*x^2)^(1/2))/(2+x) revogf] A127211 6.46951 [-(25*f(x)+224)*(16*f(x)*x^2+4*f(x)*x-f(x)+32*x+4) ogf] A127211 7.23968 [{a(n+2)-4*a(n+1)-16*a(n),a(0)=4,a(1)=48} ogf] A127212 12.7175 [-5*(10*x+1)/(25*x^2+5*x-1) ogf] A127212 13.9510 [-5*(3+10*x+50*x^2)/(10*x+1)/(25*x^2+5*x-1) lgdogf] A127212 15.4196 [1/10*(-1-x+(1+10*x+5*x^2)^(1/2))/(2+x) revogf] A127212 6.49697 [-(5*f(x)+56)*(25*f(x)*x^2+5*f(x)*x-f(x)+50*x+5) ogf] A127212 7.11573 [{a(n+2)-5*a(n+1)-25*a(n),a(0)=5,a(1)=75} ogf] A127213 11.8690 [-6*(12*x+1)/(36*x^2+6*x-1) ogf] A127213 13.0067 [-18*(1+4*x+24*x^2)/(1+12*x)/(36*x^2+6*x-1) lgdogf] A127213 14.3758 [1/12*(-1-x+(1+10*x+5*x^2)^(1/2))/(2+x) revogf] A127213 5.93449 [-(25*f(x)+336)*(36*f(x)*x^2+6*f(x)*x-f(x)+72*x+6) ogf] A127213 6.56284 [{a(n+2)-6*a(n+1)-36*a(n),a(0)=6,a(1)=108} ogf] A127214 10.7784 [-2*(3+16*x+48*x^4+32*x^3+8*x^2)/(12*x^2+4*x+1)/(8*x^3+4*x^2+2*x-1) lgdogf] A127214 11.6814 [-2*(12*x^2+4*x+1)/(8*x^3+4*x^2+2*x-1) ogf] A127214 6.24351 [(143*f(x)+322)*(8*f(x)*x^3+4*f(x)*x^2+2*f(x)*x+24*x^2-f(x)+8*x+2) ogf] A127214 6.35305 [{-a(n+3)+2*a(n+2)+4*a(n+1)+8*a(n),a(0)=2,a(1)=12,a(2)=56} ogf] A127215 10.7703 [-3*(27*x^2+6*x+1)/(27*x^3+9*x^2+3*x-1) ogf] A127215 5.84155 [(143*f(x)+483)*(27*f(x)*x^3+9*f(x)*x^2+3*f(x)*x+81*x^2-f(x)+18*x+3) ogf] A127215 5.94226 [{-a(n+3)+3*a(n+2)+9*a(n+1)+27*a(n),a(0)=3,a(1)=27,a(2)=189} ogf] A127216 4.85987 [-(54611*f(x)+159212)*(16*f(x)*x^4+8*f(x)*x^3+4*f(x)*x^2+64*x^3+2*f(x)*x+24*x^2-f(x)+8*x+2) ogf] A127216 8.11873 [-2*(3+16*x+256*x^6+192*x^5+80*x^4+56*x^2)/(32*x^3+12*x^2+4*x+1)/(16*x^4+8*x^3+4*x^2+2*x-1) lgdogf] A127216 9.29451 [-2*(32*x^3+12*x^2+4*x+1)/(16*x^4+8*x^3+4*x^2+2*x-1) ogf] A127218 7.11694 [(2+2*x+10*x^6-2*x^5+5*x^12+4*x^10+8*x^3-13*x^8+x^4+2*x^2)/(1+x)/(x^4+x^2-1)/(x^8-x^7+x^4-x^3+x^2-2) lgdogf] A127218 8.88862 [(x+1)*(x^8-x^7+x^4-x^3+x^2-2)/(x^4+x^2-1) ogf] A127220 4.53749 [-(54611*f(x)+238818)*(81*f(x)*x^4+27*f(x)*x^3+9*f(x)*x^2+324*x^3+3*f(x)*x+81*x^2-f(x)+18*x+3) ogf] A127220 7.55961 [-9*(1+8*x+42*x^2+135*x^4+486*x^5+972*x^6)/(108*x^3+27*x^2+6*x+1)/(81*x^4+27*x^3+9*x^2+3*x-1) lgdogf] A127220 8.52829 [-3*(108*x^3+27*x^2+6*x+1)/(81*x^4+27*x^3+9*x^2+3*x-1) ogf] A127221 5.67018 [-2*(3+16*x+1280*x^8+512*x^6+128*x^5+1024*x^7-80*x^4+160*x^3+56*x^2)/(80*x^4+32*x^3+12*x^2+4*x+1)/(32*x^5+16*x^4+8*x^3+4*x^2+2*x-1) lgdogf] A127221 7.57575 [-2*(80*x^4+32*x^3+12*x^2+4*x+1)/(32*x^5+16*x^4+8*x^3+4*x^2+2*x-1) ogf] A127222 6.86567 [-3*(405*x^4+108*x^3+27*x^2+6*x+1)/(243*x^5+81*x^4+27*x^3+9*x^2+3*x-1) ogf] A127226 12.5420 [2*(x-1)/(6*x^2+2*x-1) ogf] A127226 15.7670 [1/2*(-1-x+(1+7*x^2)^(1/2))/(-1+3*x) revogf] A127226 6.48723 [(35*f(x)-69)*(6*f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A127226 6.88278 [{-a(n+2)+2*a(n+1)+6*a(n),a(0)=2,a(1)=2} ogf] A127227 4.18454 [{(n+8)*a(n+1)+(-2*n-11)*a(n+2)+(n+3)*a(n+3),a(0)=719,a(1)=5039,a(2)=20159} ogf] A127227 4.99647 [(x^6-6*x^5+15*x^4-20*x^3+15*x^2-6*x-719)/(x-1)^7 ogf] A127227 7.29613 [-(-5039-6*x+x^6+15*x^4-20*x^3-6*x^5+15*x^2)/(x-1)/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-6*x-719) lgdogf] A127228 3.42049 [{(n+10)*a(n+1)+(-2*n-13)*a(n+2)+(n+3)*a(n+3),a(0)=40319,a(1)=362879,a(2)=1814399} ogf] A127228 5.82879 [(x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x-40319)/(x-1)^9 ogf] A127229 4.13583 [{(n+12)*a(n+1)+(-2*n-15)*a(n+2)+(n+3)*a(n+3),a(0)=3628799,a(1)=39916799,a(2)=239500799} ogf] A127261 11.1191 [2*(x-1)/(10*x^2+2*x-1) ogf] A127261 13.1395 [-(-1-20*x+10*x^2)/(x-1)/(10*x^2+2*x-1) lgdogf] A127261 5.74696 [(77*f(x)-153)*(10*f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A127261 6.16240 [{-a(n+2)+2*a(n+1)+10*a(n),a(0)=2,a(1)=2} ogf] A127262 12.5657 [2*(x-1)/(12*x^2+2*x-1) ogf] A127262 14.8858 [-(-1-24*x+12*x^2)/(x-1)/(12*x^2+2*x-1) lgdogf] A127262 6.4225 [(104*f(x)-207)*(12*f(x)*x^2+2*f(x)*x-f(x)-2*x+2) ogf] A127262 6.96414 [{-a(n+2)+2*a(n+1)+12*a(n),a(0)=2,a(1)=2} ogf] A127264 8.74519 [-(x^26-x^25-x^6-5*x^4-4*x^3-5*x^2-4*x-4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A127275 13.0324 [-(9*x-2+(-(-1+4*x)*(2*x-1)^2)^(1/2))/(x^2+4*x-1)/(-1+4*x) lgdogf] A127275 6.13802 [-16*f(x)^2*x^2+8*f(x)^2*x+8*f(x)*x^2-f(x)^2-2*f(x)*x-x^2-4*x+1 ogf] A127276 16.8907 [-(1-12*x+8*x^2)/(x-1)/(2*x-1)/(-1+4*x) lgdogf] A127276 5.10340 [{-a(n+3)+6*a(n+2)-12*a(n+1)+8*a(n),a(0)=1,a(1)=1,a(2)=-2} ogf] A127276 5.14896 [(2*f(x)+3)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-5*x+1) ogf] A127276 9.30135 [-(4*x-1)*(x-1)/(2*x-1)^3 ogf] A127307 8.08610 [-(56*x^23-56*x^22+18*x^9-18*x^8+6*x^4-6*x^3+2*x^2-3)/(x-1)^2 ogf] A127316 12.9238 [-(73*x^2-140*x+71)/(x-1)^3 ogf] A127316 19.6325 [-(73-134*x+73*x^2)/(x-1)/(73*x^2-140*x+71) lgdogf] A127316 7.05925 [(17*f(x)+1673)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+73*x^2-f(x)-140*x+71) ogf] A127316 7.30478 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=71,a(1)=73,a(2)=79} ogf] A127328 8.44693 [-9*f(x)^2*x^2-3*f(x)^2*x+2*f(x)^2+3*f(x)*x-f(x)-1 ogf] A127357 16.6505 [1/(9*x^2-2*x+1) ogf] A127357 20.4434 [-2*(-1+9*x)/(9*x^2+1-2*x) lgdogf] A127357 5.81766 [(11*f(x)-27)*(9*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A127357 5.88860 [{a(n+2)-2*a(n+1)+9*a(n),a(0)=1,a(1)=2} ogf] A127358 10.6625 [-1/2*(-3-9*x+(1+6*x+x^2)^(1/2))/(1+6*x+10*x^2)*x revogf] A127358 5.70301 [-10*f(x)^2*x^2+9*f(x)^2*x-2*f(x)^2-6*f(x)*x+3*f(x)-1 ogf] A127358 7.31146 [1/2*(-40*x^2-2*x+9+3*(-(2*x-1)*(2*x+1))^(1/2))/(2*x+1)/(5*x-2)/(2*x-1) lgdogf] A127359 3.73205 [{(40*n+80)*a(n+1)+(-12*n-4)*a(n+2)+(-10*n-46)*a(n+3)+(3*n+12)*a(n+4),a(0)=1,a(1)=4,a(2)=14,a(3)=48} ogf] A127359 6.03755 [4*(-10*x^2-x+2+(-(2*x-1)*(2*x+1))^(1/2))/(2*x+1)/(10*x-3)/(2*x-1) lgdogf] A127359 8.18643 [-20*f(x)^2*x^2+16*f(x)^2*x-3*f(x)^2-8*f(x)*x+4*f(x)-1 ogf] A127359 8.53132 [-(-2-8*x+(1+8*x+4*x^2)^(1/2))/(1+8*x+20*x^2)*x revogf] A127360 5.37851 [1/2*(-136*x^2-18*x+25+15*(-(2*x-1)*(2*x+1))^(1/2))/(2*x+1)/(17*x-4)/(2*x-1) lgdogf] A127360 7.20336 [-1/2*(-25*x-5+3*((1+x)*(9*x+1))^(1/2))/(1+10*x+34*x^2)*x revogf] A127360 7.94446 [34*f(x)^2*x^2-25*f(x)^2*x+4*f(x)^2+10*f(x)*x-5*f(x)+1 ogf] A127361 10.0070 [1/2*(-40*x^2-18*x+1+3*(-(2*x-1)*(2*x+1))^(1/2))/(2*x+1)/(5*x+2)/(2*x-1) lgdogf] A127361 14.5000 [1/2/(1-2*x+10*x^2)*(-1+x+3*(1-2*x+9*x^2)^(1/2))*x revogf] A127361 3.38414 [{(20*n+40)*a(n+1)+(8*n+26)*a(n+2)+(-5*n-16)*a(n+3)+(-2*n-8)*a(n+4),a(0)=1,a(1)=-1,a(2)=4,a(3)=-7} ogf] A127361 7.35681 [10*f(x)^2*x^2-f(x)^2*x-2*f(x)^2-2*f(x)*x+f(x)+1 ogf] A127362 10.2465 [2*(-20*x^2-8*x+1+2*(-(2*x-1)*(2*x+1))^(1/2))/(2*x+1)/(10*x+3)/(2*x-1) lgdogf] A127362 14.7293 [(-1+2*x+2*(1-4*x+16*x^2)^(1/2))/(1-4*x+20*x^2)*x revogf] A127362 3.32199 [{(-40*n-80)*a(n+1)+(-12*n-44)*a(n+2)+(10*n+34)*a(n+3)+(3*n+12)*a(n+4),a(0)=1,a(1)=-2,a(2)=8,a(3)=-24} ogf] A127362 7.36613 [20*f(x)^2*x^2-4*f(x)^2*x-3*f(x)^2-4*f(x)*x+2*f(x)+1 ogf] A127363 10.2221 [1/2*(-136*x^2-50*x+9+15*(-(2*x-1)*(2*x+1))^(1/2))/(2*x+1)/(17*x+4)/(2*x-1) lgdogf] A127363 14.5469 [1/2/(1-6*x+34*x^2)*(-3+9*x+5*(1-6*x+25*x^2)^(1/2))*x revogf] A127363 3.54702 [{(-68*n-136)*a(n+1)+(-16*n-66)*a(n+2)+(17*n+60)*a(n+3)+(4*n+16)*a(n+4),a(0)=1,a(1)=-3,a(2)=14,a(3)=-57} ogf] A127363 7.94223 [-34*f(x)^2*x^2+9*f(x)^2*x+4*f(x)^2+6*f(x)*x-3*f(x)-1 ogf] A127365 10.0074 [-(x+1)*x^2/(x^2+1)^2 ogf] A127365 10.1336 [-f(x)*x^4-2*f(x)*x^2-x^3-x^2-f(x) ogf] A127365 19.5776 [[2*x^3-3*x+1] ogf_with_Euler_transform] A127365 22.9710 [-(-1+4*x+3*x^2)/(x+1)/(1+x^2) lgdogf] A127369 13.6005 [-4*(5+20*x+32*x^2)/(-1+4*x)/(16*x^2+4*x+1) lgdogf] A127369 3.27528 [{(-n-4)*a(n+4)+20*a(n+3)+80*a(n+2)+(192+64*n)*a(n+1),a(0)=8,a(1)=160,a(2)=1920,a(3)=17408} ogf] A127369 4.13474 [(11*f(x)+108)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x-128*x^2+f(x)-32*x-8) ogf] A127369 7.47435 [8*(16*x^2+4*x+1)/(4*x-1)^4 ogf] A127389 12.5277 [-1/2*(-1+x-x^2+(1+2*x-9*x^2+6*x^3+x^4)^(1/2))/(-1+2*x) revogf] A127389 6.93735 [f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-f(x)*x-f(x)+x+1 ogf] A127391 10.2823 [-(2*x^7-2*x^3)/(-x^12-x^8-x^4-1) ogf_with_Euler_transform] A127392 15.0308 [-(2*x-2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A127393 14.6431 [-(4*x-4)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A127394 3.24489 [{(2*n^2+10*n+12)*a(n+1)+(4*n^2+36*n+72)*a(n+2)+(30+7*n)*a(n+3)+(-2*n-8)*a(n+4),a(0)=4,a(1)=18,a(2)=88,a(3)=460} ogf] A127394 37.0925 [(9+8*x+2*x^2)/(x+2) lgdegf] A127407 24.0728 [-(-15+2*x+3*x^2)/(x-1)/(x^2-3) lgdogf] A127407 3.79705 [{(-3*n-12)*a(n+4)+(24+3*n)*a(n+3)+n*a(n+2)+(-4-n)*a(n+1),a(0)=3,a(1)=15,a(2)=44,a(3)=100} ogf] A127407 9.82171 [(x^2-3)/(x-1)^5 ogf] A127408 13.8733 [-2*(-72-49*x+2*x^3+14*x^2)/(x-1)/(x-3)/(x^2+8*x+6) lgdogf] A127408 3.66390 [{(8*n^2+78*n+190)*a(n+1)+(-45*n^2-544*n-1764)*a(n+2)+(37*n^2+292*n+543)*a(n+3),a(0)=18,a(1)=144,a(2)=625} ogf] A127408 6.60872 [(x-3)*(x^2+8*x+6)/(x-1)^7 ogf] A127409 4.46638 [(x^4+19*x^3-54*x^2-310*x-160)/(x-1)^9 ogf] A127409 8.33267 [-(-1750-2588*x-321*x^2+118*x^3+5*x^4)/(x-1)/(x^4+19*x^3-54*x^2-310*x-160) lgdogf] A127410 4.19240 [(x^5+53*x^4-82*x^3-2882*x^2-5295*x-1875)/(x-1)^11 ogf] A127410 7.48678 [-2*(-12960-29357*x+188*x^4-222*x^3+3*x^5-13092*x^2)/(x-1)/(x^5+53*x^4-82*x^3-2882*x^2-5295*x-1875) lgdogf] A127411 5.38767 [-(-453789-1380202*x-1053775*x^2-204100*x^3+2005*x^4+1054*x^5+7*x^6)/(x-1)/(x^6+131*x^5+150*x^4-20470*x^3-90215*x^2-99981*x-27216) lgdogf] A127421 11.5969 [2*(6+5*x+3645*x^8-6435*x^9+2880*x^10)/(x-1)/(720*x^10-810*x^9-10*x-1) lgdogf] A127421 12.1716 [-(720*x^10-810*x^9-10*x-1)/(x-1)^2 ogf] A127422 11.3333 [-3*(24000*x^10-24660*x^9-2670*x^8-33*x-4)/(x-1)^2 ogf] A127423 10.6691 [(21+x+9900*x^9-17820*x^10+8100*x^11)/(x-1)/(900*x^11-990*x^10+9*x^2-19*x-1) lgdogf] A127423 10.7303 [-(900*x^11-990*x^10+9*x^2-19*x-1)/(x-1)^2 ogf] A127424 9.24391 [-3*(33300*x^11-33330*x^10-3300*x^9+33*x-70)/(x-1)^2 ogf] A127509 11.1048 [-(9-28*x-4*x^2+32*x^3)/(x-1)/(2*x+1)/(-1+2*x)/(-1+4*x) lgdogf] A127509 11.3338 [-3*(2*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A127509 5.27609 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=3,a(1)=27,a(2)=147} ogf] A127509 5.56388 [(1941*f(x)-3896)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+6*x+3) ogf] A127526 10.9822 [-(x^3+x^2-15*x+15)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A127526 5.77582 [(93310985*f(x)+72666859)*(f(x)*x^4-3*f(x)*x^3+x^3+3*f(x)*x+x^2-f(x)-15*x+15) ogf] A127531 3.68126 [{(4*n^2+14*n+12)*a(n+1)+(19*n^2+126*n+195)*a(n+2)+(-5*n^2-35*n-30)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A127531 5.33046 [-4*f(x)^2*x^4+f(x)^2*x^3+4*f(x)*x^3+7*f(x)*x^2-x^3-6*f(x)*x-2*x^2+f(x) ogf] A127533 3.45987 [{(-8*n^2-28*n-24)*a(n+1)+(-26*n^2-174*n-276)*a(n+2)+(7*n^2+49*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A127534 4.08051 [-27*f(x)^3*x^4+4*f(x)^3*x^3+81*f(x)^2*x^3-12*f(x)^2*x^2-55*f(x)*x^2+35*f(x)*x+x^2-4*f(x)+4*x ogf] A127539 5.84407 [f(x)^2*x^3+f(x)^2*x-f(x)*x^2+f(x)^2-3*f(x)*x+x^2-2*f(x)+2*x+1 ogf] A127540 3.64248 [{(4*n^2+22*n+30)*a(n+1)+(3*n^2+15*n+20)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A127540 5.73771 [f(x)^2*x^4+2*f(x)^2*x^3+f(x)^2*x^2+3*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A127546 12.4756 [-2*(x^2-x-1)/(x+1)/(x^2-3*x+1) ogf] A127546 14.9508 [-(3+2*x+x^4-2*x^3+x^2)/(x+1)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A127546 6.73460 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=2,a(1)=6,a(2)=14} ogf] A127546 6.79472 [(39*f(x)+2)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x-2) ogf] A127547 10.5726 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=17} ogf] A127547 19.5006 [(9*x+4)/(x-1)^2 ogf] A127547 29.7043 [-(-2-x+(4+13*x)^(1/2))/(-9+x) revogf] A127547 37.4533 [-(17+9*x)/(9*x+4)/(x-1) lgdogf] A127547 9.97189 [(26*f(x)+185)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-4) ogf] A127595 4.23314 [-(6820*f(x)+1733)*(f(x)*x^4-10*f(x)*x^3+23*f(x)*x^2-x^3-10*f(x)*x-5*x^2+f(x)-x) ogf] A127595 8.13208 [x*(x^2+5*x+1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A127595 8.34115 [-(-15+44*x+5*x^4-96*x^3+2*x^5+95*x^2)/(x^2+5*x+1)/(x^2-7*x+1)/(x^2-3*x+1) lgdogf] A127617 5.48485 [-(8315*f(x)-3912)*(f(x)*x^4-2*f(x)*x^3-5*f(x)*x^2-3*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A127617 8.45219 [-(x+1)*(3*x-1)/(x^4-2*x^3-5*x^2-3*x+1) ogf] A127617 8.77937 [-(1+4*x+6*x^5-12*x^3+5*x^2)/(3*x-1)/(1+x)/(x^4-2*x^3-5*x^2-3*x+1) lgdogf] A127618 4.63408 [(95392*f(x)-240015)*(2*f(x)*x^3-x^4-6*f(x)*x^2+2*x^3-4*f(x)*x+5*x^2+f(x)+3*x-1) ogf] A127618 7.26696 [(1+2*x-12*x^5+2*x^6+10*x^4+32*x^3-10*x^2)/(2*x^3-6*x^2-4*x+1)/(x^4-2*x^3-5*x^2-3*x+1) lgdogf] A127618 8.18484 [(x^4-2*x^3-5*x^2-3*x+1)/(2*x^3-6*x^2-4*x+1) ogf] A127619 5.75362 [-(1-21*x^2+20*x^3+218*x^4+80*x^5-96*x^6+16*x^7)/(2*x^3-6*x^2-4*x+1)/(4*x^5-12*x^4-11*x^3+6*x^2+5*x-1) lgdogf] A127619 6.82161 [-(2*x^3-6*x^2-4*x+1)/(4*x^5-12*x^4-11*x^3+6*x^2+5*x-1) ogf] A127620 5.33410 [(4*x^5-12*x^4-11*x^3+6*x^2+5*x-1)/(2*x^4-2*x^3-6*x^2-5*x+1)/(4*x^2+x-1) ogf] A127624 3.85043 [(9*x^10+8*x^9+7*x^8+6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1)/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A127624 4.54793 [-(-20*x^14-20*x^13+51*x^12+9*x^11-20*x^10-8*x^3+4*x^2+4*x-2)/(20*x^14-20*x^13-11*x^12+11*x^11+8*x^3-4*x^2-4*x+2) ogf_with_Euler_transform] A127628 12.8609 [-36*f(x)^2*x+5*f(x)^2-4*f(x)-1 ogf] A127628 13.0042 [6*(3-12*x+2*(1-4*x)^(1/2))/(36*x-5)/(-1+4*x) lgdogf] A127628 16.8290 [(-2-18*x+3*(1+8*x+36*x^2)^(1/2))*x revogf] A127628 3.67401 [{(144*n+216)*a(n+1)+(-56*n-138)*a(n+2)+(5*n+15)*a(n+3),a(0)=1,a(1)=6,a(2)=42} ogf] A127630 20.6858 [-(1-7*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A127630 22.2476 [[2*x^3-4*x+1] ogf_with_Euler_transform] A127630 6.11398 [-(6*f(x)+13)*(f(x)*x^4+2*f(x)*x^2+x^3+x^2+f(x)-x-1) ogf] A127630 9.97048 [-(x-1)*(x+1)^2/(x^2+1)^2 ogf] A127681 5.05217 [-(2*x^12+2*x^10-4*x^8-2*x^4-x^2+1)/(x-1)/(x^12-2*x^11-2*x^10-6*x^9-9*x^8-4*x^7-4*x^6-4*x^5-5*x^4-2*x^3-2*x^2+1) ogf] A127682 11.2456 [-x*(x^4+x^3+x^2+x+1)/(x^6+x^4-1) ogf] A127682 9.92424 [-(1+2*x+8*x^3+3*x^2+3*x^4+8*x^5+6*x^6+4*x^7+3*x^8+2*x^9)/(x^4+x^3+x^2+x+1)/(x^6+x^4-1) lgdogf] A127692 3.83807 [-(-x^15+x^14-x^12+x^11-x^9+x^5-2*x^3+x^2+x-1)/(x^16-x^14+x^12+x^4-x^2+1) ogf_with_Euler_transform] A127694 11.6932 [-(-235+347*x+45*x^3-205*x^2)/(x-1)/(45*x^3-170*x^2+229*x-116) lgdogf] A127694 3.54768 [{(-199*n^2-1859*n-2922)*a(n+1)+(-64*n^2-1538*n-4230)*a(n+2)+(263*n^2+2011*n+3666)*a(n+3),a(0)=580,a(1)=1175,a(2)=2070} ogf] A127694 4.66201 [(17576*f(x)+5997055)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+225*x^3-4*f(x)*x-850*x^2+f(x)+1145*x-580) ogf] A127694 8.45667 [-5*(45*x^3-170*x^2+229*x-116)/(x-1)^4 ogf] A127736 11.8287 [-(x^2-3*x-1)/(x-1)^4 ogf] A127736 24.2768 [-(-7-7*x+2*x^2)/(x-1)/(x^2-3*x-1) lgdogf] A127736 4.10141 [{(-n-4)*a(n+4)+(1-2*n)*a(n+3)+(15+4*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=7,a(2)=21,a(3)=46} ogf] A127736 5.91435 [(72306*f(x)+283277)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-3*x-1) ogf] A127769 3.70259 [{(192*n^3-12*n)*a(n)+(20*n^3+110*n^2+180*n+90)*a(n+1)+(-2*n^3-11*n^2-19*n-10)*a(n+2),a(0)=1,a(1)=1} ogf] A127776 3.96458 [{(-64*n^2-160*n-100)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A127786 9.45924 [-(-3*x^7+2*x^6-x^5+2*x^4-6*x^3+2*x^2-x+2)/(x^8-1) ogf_with_Euler_transform] A127786 99.9999 Evaluated at exp(-Pi) 1/32*2^(7/16)/GAMMA(7/8)^3*GAMMA(5/8)^3/Pi^(3/4)*(2+2^(1/2))^(3/2)*(2^(1/2)*(2+2^(1/2))^(1/2))^(3/2) A127790 13.6942 [a(n+4)+a(n+3)-a(n+1)-a(n),a(0)=4,a(1)=8,a(2)=16,a(3)=8 lgdogf] A127790 30.8604 [4*x^2+2*x+4 ogf_with_Euler_transform] A127811 13.7989 [a(n+4)+a(n+3)-a(n+1)-a(n),a(0)=4,a(1)=8,a(2)=16,a(3)=8 lgdogf] A127811 31.1050 [4*x^2+2*x+4 ogf_with_Euler_transform] A127813 5.98194 [-2*(-4-21*x+17*x^6-130*x^4-117*x^3-59*x^5-63*x^2+43*x^7+26*x^8+8*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^6+2*x^5+2*x^4-2*x^3-6*x^2-6*x-1) lgdogf] A127825 5.26009 [-(x^8-2*x^7+2*x^6-x^5+x^4-x^3+2*x^2-2*x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^5 ogf] A127838 10.6341 [f(x)*x^4+f(x)*x^3-x^3-f(x)+1 ogf] A127838 13.4432 [(x-1)*(x^2+x+1)/(x^4+x^3-1) ogf] A127838 18.0134 [-x^3*(x^3-4)/(x-1)/(x^2+x+1)/(x^4+x^3-1) lgdogf] A127839 13.2380 [(x-1)*(x+1)*(x^2+1)/(x^5+x^4-1) ogf] A127840 14.2357 [(x-1)*(x^4+x^3+x^2+x+1)/(x^6+x^5-1) ogf] A127841 13.1558 [(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^7+x^6-1) ogf] A127841 13.7577 [-x^6*(x^6-7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^7+x^6-1) lgdogf] A127842 12.8610 [(x-1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^8+x^7-1) ogf] A127842 13.7983 [-x^7*(-8+x^7)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^8+x^7-1) lgdogf] A127843 12.2560 [(x-1)*(x+1)*(x^2+1)*(x^4+1)/(x^9+x^8-1) ogf] A127843 13.1829 [-x^8*(x^4-3)*(x^4+3)/(x-1)/(x+1)/(1+x^2)/(1+x^4)/(x^9+x^8-1) lgdogf] A127844 11.3534 [(x-1)*(x^2+x+1)*(x^6+x^3+1)/(x^10+x^9-1) ogf] A127844 14.4588 [-x^9*(-10+x^9)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^10+x^9-1) lgdogf] A127846 10.0108 [-4*f(x)^2*x-5*f(x)*x+f(x)-x ogf] A127846 10.0259 [-((9*x-1)^(1/2)*(x-1)^(1/2)+1)/(9*x-1)^(1/2)/(x-1)^(1/2)/x lgdogf] A127846 38.7669 [x/(1+x)/(4*x+1) revogf] A127846 4.80193 [{-9*a(n)*n+(10*n+15)*a(n+1)+(-n-3)*a(n+2),a(0)=0,a(1)=1} ogf] A127848 10.6816 [-5*f(x)^2*x-6*f(x)*x+f(x)-x ogf] A127848 12.4216 [-((1-12*x+16*x^2)^(1/2)-1)/x/(1-12*x+16*x^2)^(1/2) lgdogf] A127848 41.4055 [x/(1+x)/(5*x+1) revogf] A127848 5.08239 [{-16*a(n)*n+(12*n+18)*a(n+1)+(-n-3)*a(n+2),a(0)=0,a(1)=1} ogf] A127854 12.1971 [-(x^2+4*x+19)/(x-1)^3 ogf] A127854 22.4686 [-(61+10*x+x^2)/(x-1)/(x^2+4*x+19) lgdogf] A127854 6.30184 [(6760*f(x)-120487)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+19) ogf] A127854 6.51914 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=61,a(2)=127} ogf] A127858 11.0377 [-6*(2*x-1)/(12*x-1)/(x-1) ogf] A127858 11.2712 [-1/24*(-6-13*x+(36+108*x+121*x^2)^(1/2))/(1+x) revogf] A127858 12.9619 [-(11-24*x+24*x^2)/(x-1)/(2*x-1)/(12*x-1) lgdogf] A127858 5.57696 [-(119*f(x)+12)*(12*f(x)*x^2-13*f(x)*x+f(x)+12*x-6) ogf] A127858 6.23306 [{a(n+2)-13*a(n+1)+12*a(n),a(0)=6,a(1)=66} ogf] A127864 19.1629 [-1/(x+1)/(2*x^2+2*x-1) ogf] A127864 22.7080 [-(1+8*x+6*x^2)/(x+1)/(2*x^2+2*x-1) lgdogf] A127864 7.01497 [{-a(n+3)+a(n+2)+4*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A127864 7.77898 [(24*f(x)+11)*(2*f(x)*x^3+4*f(x)*x^2+f(x)*x-f(x)+1) ogf] A127865 12.1327 [-2*(2+9*x+10*x^3+18*x^2)/(2*x+1)/(x+1)/(2*x^2+2*x-1) lgdogf] A127865 8.14906 [2*(2*x+1)/(x+1)^2/(2*x^2+2*x-1)^2 ogf] A127866 11.3771 [4/(x+1)/(2*x^2+2*x-1)^2 ogf] A127866 17.9721 [-(3+14*x+10*x^2)/(x+1)/(2*x^2+2*x-1) lgdogf] A127866 3.26668 [{(n+4)*a(n+4)+(-6-n)*a(n+3)+(-22-4*n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=4,a(1)=12,a(2)=52,a(3)=172} ogf] A127867 10.7296 [-(x-1)^2/(2*x^4-x^3+7*x^2+3*x-1) ogf] A127867 12.5425 [-(-1-17*x+3*x^2-9*x^3+4*x^4)/(x-1)/(2*x^4-x^3+7*x^2+3*x-1) lgdogf] A127867 5.28815 [-(13467*f(x)+6940)*(2*f(x)*x^4-f(x)*x^3+7*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A127868 6.12610 [-2*(-5-17*x+12*x^6+9*x^5-4*x^3-39*x^4-56*x^2)/(x-1)/(3*x^2+6*x+1)/(2*x^4-x^3+7*x^2+3*x-1) lgdogf] A127868 6.51852 [3*(3*x^2+6*x+1)*(x-1)^2/(2*x^4-x^3+7*x^2+3*x-1)^2 ogf] A127869 4.17920 [4*(x-1)*(x^3-3*x^2-3)/(2*x^4-x^3+7*x^2+3*x-1)^2 ogf] A127869 5.27546 [-(15+81*x-42*x^6+48*x^5+8*x^7-88*x^4+121*x^3-93*x^2)/(x-1)/(2*x^4-x^3+7*x^2+3*x-1)/(x^3-3*x^2-3) lgdogf] A127870 4.90627 [-(4*x^5+8*x^4+10*x^3+6*x^2+4*x-1)/(x-1)/(4*x^8+8*x^7+18*x^6-56*x^5-28*x^4+44*x^3+38*x^2+4*x-1) ogf] A127873 14.4972 [-(-19+17*x+3*x^3-13*x^2)/(x-1)/(3*x^3-11*x^2+13*x-8) lgdogf] A127873 5.33826 [(489*f(x)+2210)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-11*x^2+f(x)+13*x-8) ogf] A127873 9.73049 [-(3*x^3-11*x^2+13*x-8)/(x-1)^4 ogf] A127876 10.1666 [(2*x+1)*(x^2+7*x+1)/(x-1)^4 ogf] A127876 15.2543 [-(13+57*x+36*x^2+2*x^3)/(x-1)/(2*x+1)/(x^2+7*x+1) lgdogf] A127876 4.24061 [{(-83*n^2-367*n-402)*a(n+1)+(70*n^2+32*n+18)*a(n+2)+(13*n^2+47*n+24)*a(n+3),a(0)=1,a(1)=13,a(2)=61} ogf] A127876 5.62407 [(66*f(x)+563)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-15*x^2+f(x)-9*x-1) ogf] A127877 4.76479 [-(x^8+4*x^7+22*x^6+244*x^5+248*x^4+508*x^3+154*x^2+108*x+7)/(x+1)^4/(x-1)^5 ogf] A127878 10.3852 [-(65-54*x+9*x^4-38*x^3+138*x^2)/(x-1)/(9*x^4-37*x^3+83*x^2-55*x+24) lgdogf] A127878 7.16962 [-(9*x^4-37*x^3+83*x^2-55*x+24)/(x-1)^5 ogf] A127883 5.55741 [-(60*x^5-338*x^4+772*x^3-933*x^2+542*x-163)/(x-1)^6 ogf] A127883 7.12865 [-4*(-109+211*x-94*x^4+241*x^3+15*x^5-354*x^2)/(x-1)/(60*x^5-338*x^4+772*x^3-933*x^2+542*x-163) lgdogf] A127896 14.1347 [1/(x^3+3*x^2+2*x+1) ogf] A127896 18.9989 [-(2+6*x+3*x^2)/(3*x^2+1+2*x+x^3) lgdogf] A127896 5.17430 [{a(n+3)+2*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A127896 5.51925 [-(86*f(x)-23)*(f(x)*x^3+3*f(x)*x^2+2*f(x)*x+f(x)-1) ogf] A127897 10.8292 [x*f(x)^3+3*f(x)^2*x+2*f(x)*x-f(x)+x ogf] A127897 29.8697 [x/(1+2*x+3*x^2+x^3) revogf] A127897 3.87836 [{(-23*n^2-23*n)*a(n)+(-42*n^2-128*n-86)*a(n+1)+(-15*n^2-79*n-104)*a(n+2)+(4*n^2+26*n+42)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A127902 75.0153 [x/(1+x+x^4) revogf] A127904 14.4856 [-x*(2*x^2-1)/(x-1)/(2*x-1) ogf] A127904 18.4027 [-(3-8*x+6*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A127904 6.28135 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=0,a(1)=1,a(2)=3,a(3)=5} ogf] A127904 7.63216 [-(f(x)+3)*(2*f(x)*x^2+2*x^3-3*f(x)*x+f(x)-x) ogf] A127905 4.35346 [31*f(x)^3*x^4-12*f(x)^3*x^3+12*f(x)^3*x^2-4*x*f(x)^3+f(x)*x^2-2*f(x)*x+f(x)-x ogf] A127931 5.46834 [(9*x^12+19*x^11+16*x^10+9*x^9+31*x^8+2*x^7+41*x^6+6*x^5+14*x^4+3*x^3+4*x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A127932 16.9422 [-4*(1+x+2*x^3+3*x^4+x^2)/(x-1)/(3*x+1)/(x+1)/(x^2+1) lgdogf] A127932 16.9453 [(3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A127934 13.0160 [(2*x^5+x^4+4*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A127934 6.99202 [-(5+5*x+9*x^3+16*x^4+8*x^5+8*x^6+16*x^7+35*x^8+3*x^9+3*x^10+7*x^11+8*x^12+5*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^5+x^4+4*x+1)/(x^4+1) lgdogf] A127960 10.6819 [-3*x*(3*x+1)/(3*x-1)^3 ogf] A127960 23.8780 [-6*(2+3*x)/(3*x-1)/(3*x+1) lgdogf] A127960 5.52836 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=3,a(2)=36} ogf] A127960 5.78197 [(4*f(x)+1)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+9*x^2-f(x)+3*x) ogf] A127961 12.1862 [-1/20*(-1-101*x+(1-158*x+9801*x^2)^(1/2))/(9+10*x) revogf] A127961 12.4029 [-(90*x-1)/(100*x-1)/(x-1) ogf] A127961 13.5403 [-(11-200*x+9000*x^2)/(x-1)/(90*x-1)/(100*x-1) lgdogf] A127961 6.32799 [-(911*f(x)-790)*(100*f(x)*x^2-101*f(x)*x+f(x)+90*x-1) ogf] A127961 7.12808 [{a(n+2)-101*a(n+1)+100*a(n),a(0)=1,a(1)=11} ogf] A127968 10.5876 [-(x^3+2*x^2-x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A127968 5.701 [-(26*f(x)-33)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A127968 7.85448 [-(2+x^6+4*x^5+x^4-4*x^3-2*x^2)/(-1+x)/(x+1)/(x^2+x-1)/(x^3+2*x^2-x-1) lgdogf] A127975 10.5526 [-(f(x)-5)*(3*f(x)*x^3+x^2-f(x)+x+1) ogf] A127975 10.9692 [{a(n+3)-3*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A127975 17.0134 [-(x^2+x+1)/(3*x^3-1) ogf] A127975 17.7920 [-(1+2*x+3*x^4+6*x^3+9*x^2)/(3*x^3-1)/(x^2+x+1) lgdogf] A127976 10.8727 [-(x-1)/(x+1)^2/(2*x-1)^2 ogf] A127976 18.5608 [-(-1-7*x+6*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A127976 5.22231 [-(13*f(x)+10)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A127978 10.2622 [-(-5-15*x+12*x^2+14*x^3+4*x^4)/(-1+2*x)/(x+1)/(2*x^3+4*x^2+x-3) lgdogf] A127978 4.48973 [-(5330*f(x)+4863)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+2*x^3-2*f(x)*x+4*x^2+f(x)+x-3) ogf] A127978 8.57131 [-(2*x^3+4*x^2+x-3)/(x+1)^2/(2*x-1)^2 ogf] A127979 11.8456 [-2*(x+2)*(2*x^3-x^2-x-1)/(2*x-1)/(x+1)/(2*x^3+2*x^2-2*x-1) lgdogf] A127979 4.83205 [(19230*f(x)-17407)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+2*x^3-2*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A127979 9.09931 [-(2*x^3+2*x^2-2*x-1)/(x+1)^2/(2*x-1)^2 ogf] A127980 11.2434 [-(5-2*x+12*x^4-6*x^3-7*x^2)/(x-1)/(2*x-1)/(x+1)/(3*x^2-x-1) lgdogf] A127980 5.01353 [(1116*f(x)-3205)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+x+1) ogf] A127980 9.80909 [(3*x^2-x-1)/(x-1)/(x+1)/(2*x-1)^2 ogf] A127981 10.4127 [(2*x^3-1)/(x-1)/(x+1)/(2*x-1)^2 ogf] A127981 11.0560 [-2*(2+x+2*x^5+x^4+2*x^3-7*x^2)/(x-1)/(2*x-1)/(x+1)/(2*x^3-1) lgdogf] A127981 3.38414 [{(2*n+12)*a(n+1)+(-n-5)*a(n+2)+(-2*n-12)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=4,a(2)=13,a(3)=34} ogf] A127981 5.08892 [-(138*f(x)-455)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2-2*x^3+4*f(x)*x-f(x)+1) ogf] A127982 11.3927 [-(6-2*x+18*x^4-5*x^3-13*x^2)/(x-1)/(2*x-1)/(x+1)/(3*x^2-x-1) lgdogf] A127982 9.05235 [-(3*x^2-x-1)/(x+1)/(2*x-1)^2/(x-1)^2 ogf] A127983 11.2059 [-(5+x+8*x^5+4*x^4+2*x^3-16*x^2)/(x-1)/(2*x-1)/(x+1)/(2*x^3-1) lgdogf] A127983 9.54837 [-(2*x^3-1)/(x+1)/(2*x-1)^2/(x-1)^2 ogf] A127984 11.4835 [-4*f(x)*x^3+3*f(x)*x-2*x^2-f(x)+1 ogf] A127984 14.3442 [-(-3-2*x+2*x^2+4*x^3)/(-1+2*x)/(x+1)/(2*x^2-1) lgdogf] A127984 15.7019 [-(2*x^2-1)/(2*x-1)^2/(x+1) ogf] A127984 8.18504 [{a(n+3)-3*a(n+2)+4*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A127985 10.3082 [x*(2*x^2-1)/(x-1)/(x+1)/(2*x-1)^2 ogf] A127985 12.6769 [-2*(2-x-4*x^2+4*x^4)/(x-1)/(-1+2*x)/(x+1)/(2*x^2-1) lgdogf] A127985 5.27587 [(10*f(x)-67)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2-2*x^3+4*f(x)*x-f(x)+x) ogf] A127989 16.2132 [-(-7-3*x+3*x^3-9*x^2)/(x-1)/(3*x^3-9*x^2+5*x-3) lgdogf] A127989 4.10939 [{(27*n^2+171*n+234)*a(n+1)+(-46*n^2-224*n-222)*a(n+2)+(19*n^2+77*n+60)*a(n+3),a(0)=9,a(1)=21,a(2)=57} ogf] A127989 5.39358 [(230*f(x)+4437)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+9*x^3-4*f(x)*x-27*x^2+f(x)+15*x-9) ogf] A127989 9.83133 [-3*(3*x^3-9*x^2+5*x-3)/(x-1)^4 ogf] A128012 14.8245 [-3/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A128012 18.8369 [-(2*x+1)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A128012 29.0103 [[x^2+x+1] ogf_with_Euler_transform] A128013 13.6764 [-25*(1+5*x+10*x^2)/(5*x-1)/(25*x^2+5*x+1) lgdogf] A128013 3.16184 [{(-n-4)*a(n+4)+25*a(n+3)+125*a(n+2)+(375+125*n)*a(n+1),a(0)=10,a(1)=250,a(2)=3750,a(3)=42500} ogf] A128013 4.00205 [(11*f(x)+135)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2-20*f(x)*x-250*x^2+f(x)-50*x-10) ogf] A128013 7.15366 [10*(25*x^2+5*x+1)/(5*x-1)^4 ogf] A128014 12.1876 [-4*f(x)^2*x^2+f(x)^2-x^2-2*x-1 ogf] A128014 21.9544 [-(4*x+1)/(2*x+1)/(-1+2*x)/(x+1) lgdogf] A128014 4.13508 [{(-n-3)*a(n+3)+(-1-n)*a(n+2)+(8+4*n)*a(n+1)+4*n*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A128015 5.12929 [4*f(x)^2*x^4-f(x)^2*x^2+4*f(x)*x^3+4*f(x)*x^2-f(x)*x+x^2-f(x)+2*x+1 ogf] A128016 12.1512 [-(-1-4*x+x^6+2*x^5+4*x^3+4*x^4-4*x^2)/(x+1)/(1+x^2)/(x^4-x^2+1) lgdogf] A128016 14.9194 [x^11-x^5-2*x^3+x+1 ogf_with_Euler_transform] A128016 7.95785 [-f(x)*x^4+f(x)*x^2+x^3+x^2-f(x)+x+1 ogf] A128016 9.67185 [(x+1)*(x^2+1)/(x^4-x^2+1) ogf] A128017 12.1693 [-(2+4*x+x^6-2*x^5-4*x^3-x^2-5*x^4)/(x^3-x^2-2*x-1)/(x^4-x^2+1) lgdogf] A128017 5.88656 [-(6*f(x)+1)*(f(x)*x^4-f(x)*x^2+x^3-x^2+f(x)-2*x-1) ogf] A128017 9.50906 [-(x^3-x^2-2*x-1)/(x^4-x^2+1) ogf] A128018 11.988 [4*f(x)*x^2-2*f(x)*x+f(x)+4*x-1 ogf] A128018 12.8706 [-(4*x-1)/(4*x^2-2*x+1) ogf] A128018 15.0297 [-1/8*(-1-2*x+(1-12*x-12*x^2)^(1/2))/(1+x) revogf] A128018 15.4054 [-2*(-1-4*x+8*x^2)/(-1+4*x)/(4*x^2-2*x+1) lgdogf] A128018 7.06312 [{-a(n+2)+2*a(n+1)-4*a(n),a(0)=1,a(1)=-2} ogf] A128019 11.0835 [-(2*f(x)-11)*(3*f(x)*x^2+f(x)+3*x-1) ogf] A128019 14.5392 [-(3*x-1)/(3*x^2+1) ogf] A128019 17.2350 [-1/6*(-1+(1-12*x-12*x^2)^(1/2))/(1+x) revogf] A128019 9.31417 [{-a(n+2)-3*a(n),a(0)=1,a(1)=-3} ogf] A128043 12.9222 [-6*(5+30*x+72*x^2)/(6*x-1)/(36*x^2+6*x+1) lgdogf] A128043 2.98974 [{(-n-4)*a(n+4)+30*a(n+3)+180*a(n+2)+(648+216*n)*a(n+1),a(0)=12,a(1)=360,a(2)=6480,a(3)=88128} ogf] A128043 3.75794 [(11*f(x)+162)*(1296*f(x)*x^4-864*f(x)*x^3+216*f(x)*x^2-24*f(x)*x-432*x^2+f(x)-72*x-12) ogf] A128043 6.68078 [12*(36*x^2+6*x+1)/(6*x-1)^4 ogf] A128048 12.4106 [-8*(5+40*x+128*x^2)/(8*x-1)/(64*x^2+8*x+1) lgdogf] A128048 2.89314 [{(-n-4)*a(n+4)+40*a(n+3)+320*a(n+2)+(1536+512*n)*a(n+1),a(0)=16,a(1)=640,a(2)=15360,a(3)=278528} ogf] A128048 3.62134 [(11*f(x)+216)*(4096*f(x)*x^4-2048*f(x)*x^3+384*f(x)*x^2-32*f(x)*x-1024*x^2+f(x)-128*x-16) ogf] A128048 6.33735 [16*(64*x^2+8*x+1)/(8*x-1)^4 ogf] A128051 12.2400 [-7*(5+35*x+98*x^2)/(7*x-1)/(49*x^2+7*x+1) lgdogf] A128051 2.78766 [{(-n-4)*a(n+4)+35*a(n+3)+245*a(n+2)+(1029+343*n)*a(n+1),a(0)=14,a(1)=490,a(2)=10290,a(3)=163268} ogf] A128051 3.53744 [(11*f(x)+189)*(2401*f(x)*x^4-1372*f(x)*x^3+294*f(x)*x^2-28*f(x)*x-686*x^2+f(x)-98*x-14) ogf] A128051 6.25523 [14*(49*x^2+7*x+1)/(7*x-1)^4 ogf] A128052 6.95327 [-(3*x^5+7*x^4+9*x^3-7*x^2-3*x-1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A128053 4.78502 [-(x-1)*(x^10-2*x^9-5*x^8+2*x^7+9*x^6+9*x^4+2*x^3-5*x^2-2*x+1)/(x^4+3*x^2+1)/(x^8-3*x^6+8*x^4-3*x^2+1) ogf] A128054 10.6598 [-(2+3*x^7+7*x^2-5*x^3+9*x^4-x^5+3*x^6)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^3+x^2+1) lgdogf] A128054 8.80199 [x^2*(x^3+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A128055 5.59957 [-(1+320*x^6-128*x^5+512*x^8-256*x^7+128*x^4+8*x^2)/(2*x-1)/(4*x^2-2*x+1)/(4*x^2+2*x+1)/(16*x^4-4*x^3+4*x^2-x+1) lgdogf] A128055 6.61758 [-(16*x^4-4*x^3+4*x^2-x+1)/(2*x-1)/(4*x^2-2*x+1)/(4*x^2+2*x+1) ogf] A128056 5.10865 [-(2*f(x)-1)*(16*f(x)*x^4+12*f(x)*x^2+8*x^3-6*x^2+f(x)+3*x-1) ogf] A128056 6.72999 [-(-3-12*x+128*x^6-192*x^5-64*x^3+48*x^4+12*x^2)/(2*x-1)/(4*x^2-x+1)/(16*x^4+12*x^2+1) lgdogf] A128056 8.15858 [-(2*x-1)*(4*x^2-x+1)/(16*x^4+12*x^2+1) ogf] A128057 10.762 [-4*f(x)^2*x^2-f(x)^2+x^2+2*x+1 ogf] A128057 26.2010 [-(-1+4*x)/(x+1)/(4*x^2+1) lgdogf] A128057 3.65140 [{(n+3)*a(n+3)+(n+1)*a(n+2)+(8+4*n)*a(n+1)+4*n*a(n),a(0)=1,a(1)=1,a(2)=-2} ogf] A128058 5.89316 [-5*f(x)^2*x^4+12*f(x)^2*x^3-10*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A128063 10.5583 [-(2*x-1)*(4*x^2+2*x+1)/(16*x^4-8*x^3+4*x^2-2*x+1) ogf] A128063 4.90739 [{a(n+4)-2*a(n+3)+4*a(n+2)-8*a(n+1)+16*a(n),a(0)=1,a(1)=2,a(2)=0,a(3)=-8} ogf] A128063 6.70046 [-16*f(x)*x^4+8*f(x)*x^3-4*f(x)*x^2-8*x^3+2*f(x)*x-f(x)+1 ogf] A128063 9.46612 [-2*(1-4*x+64*x^6-16*x^4-16*x^3)/(2*x-1)/(4*x^2+2*x+1)/(16*x^4-8*x^3+4*x^2-2*x+1) lgdogf] A128074 11.0901 [-9*(5+45*x+162*x^2)/(9*x-1)/(81*x^2+9*x+1) lgdogf] A128074 3.18668 [-(75*f(x)+82)*(6561*f(x)*x^4-2916*f(x)*x^3+486*f(x)*x^2-1458*x^3-36*f(x)*x-162*x^2+f(x)-18*x) ogf] A128074 5.57668 [18*x*(81*x^2+9*x+1)/(9*x-1)^4 ogf] A128091 4.33180 [{(-5*n^2-30*n-45)*a(n+1)+(4*n^2-24)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=8,a(2)=45} ogf] A128091 8.56516 [-(5*x^3+15*x^2+3*x+1)/(x-1)^5 ogf] A128098 8.93940 [40+60*x+36*x^2+(-10+8*x+36*x^3+54*x^2)*f(x)+(x^2-2*x+12*x^3+9*x^4)*f(x)^2 lgdogf] A128102 6.75627 [x^2*(3*x^2-6*x+5)/(2*x^3-3*x^2-2*x+1)^2 ogf] A128102 9.48253 [-2*(-7-27*x+12*x^4-39*x^3+57*x^2)/(3*x^2-6*x+5)/(2*x^3-3*x^2-2*x+1) lgdogf] A128111 10.8171 [-(-x^6+x^5+2*x^4-2*x^2-x+1)/(-x^8-x^4-1) ogf_with_Euler_transform] A128111 99.9999 Evaluated at exp(-Pi) 3/16*exp(1/3*Pi)*GAMMA(2/3)^4*GAMMA(7/12)^2*(1+3^(1/2))/Pi^2/GAMMA(11/12)^2 A128128 14.5160 [-(-3*x^4-2*x^2-3)/(-x^6+1) ogf_with_Euler_transform] A128130 16.4102 [f(x)*x^4+f(x)+x-1 ogf] A128130 18.0112 [-(x-1)/(x^4+1) ogf] A128130 21.5170 [-(-1+3*x^4-4*x^3)/(-1+x)/(1+x^4) lgdogf] A128130 25.4111 [x^7-x^3-1 ogf_with_Euler_transform] A128135 13.0128 [-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-x+1 ogf] A128135 17.4322 [(2*x^2-x+1)/(2*x-1)^2 ogf] A128135 32.4929 [-(2*x+3)/(2*x-1)/(2*x^2-x+1) lgdogf] A128135 8.96996 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=10} ogf] A128205 11.2758 [x*(16*x^2+2*x+1)/(4*x^2+2*x+1)/(2*x-1)^2 ogf] A128205 4.55107 [{(16*n+40)*a(n+1)+8*a(n+2)+4*a(n+3)+(-2*n-3)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=24} ogf] A128205 6.29564 [(96*f(x)+325)*(16*f(x)*x^4-8*f(x)*x^3-16*x^3-2*f(x)*x-2*x^2+f(x)-x) ogf] A128205 7.55501 [-4*(1+10*x+64*x^4+28*x^3+18*x^2)/(2*x-1)/(1+4*x^2+2*x)/(16*x^2+2*x+1) lgdogf] A128209 13.7224 [-(3*x^2-1)/(x-1)/(2*x-1)/(x+1) ogf] A128209 16.3395 [-2*(1-2*x+3*x^4)/(-1+x)/(2*x-1)/(x+1)/(3*x^2-1) lgdogf] A128209 6.98372 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A128209 7.04664 [-(f(x)+3)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+3*x^2+f(x)-1) ogf] A128213 15.8201 [-(1-x+2*x^4-2*x^3-3*x^2)/(-1+x)/(x^2-x+1)/(1+2*x^2) lgdogf] A128213 4.89108 [{a(n+4)-2*a(n+3)+3*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=-1} ogf] A128213 4.99664 [(63*f(x)-44)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+2*x^3-2*f(x)*x-2*x^2+f(x)+x-1) ogf] A128213 9.01991 [-(x-1)*(2*x^2+1)/(x^2-x+1)^2 ogf] A128214 17.7786 [-6*x^2*(x+1)/(x^2+x+1)/(2*x+3*x^2+1) lgdogf] A128214 5.93373 [-f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+3*x^2-f(x)+2*x+1 ogf] A128214 9.20157 [(3*x^2+2*x+1)/(x^2+x+1)^2 ogf] A128223 14.5784 [-(-3-11*x+2*x^4-5*x^3-7*x^2)/(x-1)/(x+1)/(x^3-2*x^2-2*x-1) lgdogf] A128223 9.63561 [x*(x^3-2*x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A128230 10.9633 [-8+2*x^2+(8-4*x-3*x^2)*f(x)+(-2+2*x+x^2)*f(x)^2 lgdegf] A128231 12.1402 [-6-3*x^2+x^3+(12+3*x^2-2*x^3)*f(x)+(-6+x^3)*f(x)^2 lgdegf] A128231 3.26168 [{(6*n+30)*a(n+5)-6*a(n+4)+(-5-n)*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/3,a(4)=5/24} egf] A128232 10.8857 [24*a(n+5)-a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=1/6,a(4)=0 lgdegf] A128251 4.74759 [{(n^3+16*n^2+86*n+156)*a(n+1)+(-n^3-8*n^2-22*n-20)*a(n+3),a(0)=15,a(1)=5,a(2)=255} ogf] A128251 5.68986 [(x^8-20*x^6-5*x^5-170*x^4-14*x^3-180*x^2-5*x-15)/(x-1)^5/(x+1)^5 ogf] A128251 5.84830 [-(-5-510*x-25*x^6-123*x^4-2120*x^3-1140*x^5-87*x^2-72*x^7+2*x^9)/(x-1)/(x+1)/(x^8-20*x^6-5*x^5-170*x^4-14*x^3-180*x^2-5*x-15) lgdogf] A128360 12.9088 [-(19*f(x)*x-f(x)+1)^3 ogf] A128378 20.7638 [-24*x/(-x+1) ogf_with_Euler_transform] A128379 15.8721 [-(-1-23*x)/(x-1) ogf_with_Euler_transform] A128386 30.9181 [x*(1+x)/(1+2*x+4*x^2) revogf] A128386 8.60342 [4*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A128387 27.9971 [x*(1+x)/(1+2*x+6*x^2) revogf] A128387 7.80068 [6*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A128415 11.5450 [-(2*x-1)*(2*x+1)/(4*x^2+3*x+1) ogf] A128415 13.2447 [(3+16*x+12*x^2)/(2*x+1)/(2*x-1)/(4*x^2+3*x+1) lgdogf] A128415 5.54614 [{a(n+3)+3*a(n+2)+4*a(n+1),a(0)=1,a(1)=-3,a(2)=1} ogf] A128415 6.21655 [(35*f(x)-51)*(4*f(x)*x^2+3*f(x)*x+4*x^2+f(x)-1) ogf] A128416 13.5908 [2*(2+7*x+8*x^2)/(2*x+1)/(2*x-1)/(3*x+1)/(x+1) lgdogf] A128416 14.0578 [-(2*x-1)*(2*x+1)/(x+1)/(3*x+1) ogf] A128416 6.75325 [{-a(n+3)-4*a(n+2)-3*a(n+1),a(0)=1,a(1)=-4,a(2)=9} ogf] A128416 7.73966 [(f(x)+7)*(3*f(x)*x^2+4*f(x)*x+4*x^2+f(x)-1) ogf] A128418 8.59732 [72*f(x)^2*x^2-17*f(x)^2*x+f(x)^2+8*f(x)*x-f(x)+4*x ogf] A128419 7.09017 [8*f(x)^2*x^3+31*f(x)^2*x^2+20*f(x)^2*x-3*f(x)^2+8*f(x)*x-f(x)+4 ogf] A128419 8.93964 [-(12*x^2+31*x+10+(-(8*x-1)*(-2+x)^2)^(1/2))/(x+3)/(x+1)/(8*x-1) lgdogf] A128422 13.5873 [-2*x^3/(x^2+x+1)/(x-1)^3 ogf] A128422 27.4927 [-(2+2*x+5*x^2)/(x-1)/(x^2+x+1) lgdogf] A128422 33.0079 [[x^2+2] ogf_with_Euler_transform] A128422 5.14798 [{(n+3)*a(n+1)+2*a(n+2)+2*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A128422 7.08398 [f(x)*x^5-2*f(x)*x^4+f(x)*x^3-f(x)*x^2+2*x^3+2*f(x)*x-f(x) ogf] A128424 7.07680 [(-3+6*x-14*x^6+14*x^5-9*x^2+14*x^3-13*x^4-4*x^8+6*x^7+2*x^9)/(x-1)/(x^3+x-1)/(x^6-x^5+2*x^4-x^3+2*x^2-x-1) lgdogf] A128424 7.57421 [-(x^6-x^5+2*x^4-x^3+2*x^2-x-1)/(x-1)/(x^3+x-1) ogf] A128427 6.21160 [(x^34-x^33+x^11-3*x^9+x^8+x^7+2*x^6+x^5+2*x^4+x^3+x^2+x+5)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A128429 7.68452 [-(-1-x^6+2*x^4+2*x^3-14*x^5-2*x^7+4*x^8+2*x^9+2*x^10)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(2*x^5+x^4+x^3-1) lgdogf] A128429 9.76531 [(2*x^5+x^4+x^3-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A128439 6.79423 [(x^5+x^4+3*x^3-3*x-1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A128439 7.38850 [-(5+9*x+x^7-x^2-16*x^3-18*x^4+8*x^5+13*x^6+x^8)/(x-1)/(x+1)/(x^2+x-1)/(x^5+x^4+3*x^3-3*x-1) lgdogf] A128445 13.0048 [-4*(10*x^2-13*x+5)/(x-1)^3 ogf] A128445 20.9442 [-2*(1-3*x+5*x^2)/(-1+x)/(10*x^2-13*x+5) lgdogf] A128445 7.11375 [(25*f(x)-579)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+40*x^2-f(x)-52*x+20) ogf] A128445 7.36556 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=8,a(2)=4} ogf] A128464 11.5737 [-(17+41*x+31*x^3+25*x^4+x^5+65*x^2)/(x-1)/(x^2+x+1)/(x^3+12*x^2+6*x+11) lgdogf] A128464 11.7984 [(x^3+12*x^2+6*x+11)/(x^2+x+1)/(x-1)^2 ogf] A128464 4.81429 [{(-10*n-39)*a(n+1)-10*a(n+2)-10*a(n+3)+(10*n+29)*a(n+4),a(0)=11,a(1)=17,a(2)=29,a(3)=41} ogf] A128464 6.34611 [-(1820*f(x)-45849)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-12*x^2+f(x)-6*x-11) ogf] A128467 17.5546 [(19*x+11)/(x-1)^2 ogf] A128467 20.2375 [-1/2*(-11-2*x+(121+120*x)^(1/2))/(-19+x) revogf] A128467 31.1346 [-(41+19*x)/(19*x+11)/(x-1) lgdogf] A128467 9.06666 [(60*f(x)+1021)*(f(x)*x^2-2*f(x)*x+f(x)-19*x-11) ogf] A128467 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=41} ogf] A128468 17.5546 [(13*x+17)/(x-1)^2 ogf] A128468 20.2375 [-1/2*(-17-2*x+(289+120*x)^(1/2))/(-13+x) revogf] A128468 31.1346 [-(47+13*x)/(13*x+17)/(x-1) lgdogf] A128468 9.06666 [(60*f(x)+1189)*(f(x)*x^2-2*f(x)*x+f(x)-13*x-17) ogf] A128468 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=17,a(1)=47} ogf] A128469 17.9362 [(x+29)/(x-1)^2 ogf] A128469 21.3026 [-1/2*(-29-2*x+(841+120*x)^(1/2))/(x-1) revogf] A128469 40.4749 [-(59+x)/(x+29)/(x-1) lgdogf] A128469 9.1674 [(60*f(x)+1741)*(f(x)*x^2-2*f(x)*x+f(x)-x-29) ogf] A128469 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=29,a(1)=59} ogf] A128470 10.0864 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=31} ogf] A128470 18.1994 [(29*x+1)/(x-1)^2 ogf] A128470 22.2034 [-1/2*(-1-2*x+(1+120*x)^(1/2))/(-29+x) revogf] A128470 32.8610 [-(31+29*x)/(29*x+1)/(x-1) lgdogf] A128470 9.40644 [(60*f(x)+901)*(f(x)*x^2-2*f(x)*x+f(x)-29*x-1) ogf] A128471 10.0864 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=37} ogf] A128471 18.1994 [(23*x+7)/(x-1)^2 ogf] A128471 21.6191 [-1/2*(-7-2*x+(49+120*x)^(1/2))/(-23+x) revogf] A128471 32.8610 [-(37+23*x)/(23*x+7)/(x-1) lgdogf] A128471 9.40644 [(60*f(x)+949)*(f(x)*x^2-2*f(x)*x+f(x)-23*x-7) ogf] A128473 17.9362 [(7*x+23)/(x-1)^2 ogf] A128473 20.7564 [-1/2*(-23-2*x+(529+120*x)^(1/2))/(-7+x) revogf] A128473 33.7291 [-(53+7*x)/(7*x+23)/(x-1) lgdogf] A128473 9.1674 [(60*f(x)+1429)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-23) ogf] A128473 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=23,a(1)=53} ogf] A128496 7.45875 [(x^3-3*x^2-x+1)/(x^2-3*x+1)/(x+1)^2/(x-1)^2 ogf] A128496 8.50243 [-(2-4*x+3*x^6-18*x^5-5*x^2+6*x^3+24*x^4)/(x-1)/(x+1)/(x^2-3*x+1)/(x^3-3*x^2-x+1) lgdogf] A128498 12.7646 [-7+56*x-63*x^2+(-26+257*x-7*x^3-290*x^2)*f(x)+(33-33*x+33*x^2-33*x^3)*f(x)^2 lgdogf] A128498 29.9859 [[4*x^3-4*x+1] ogf_with_Euler_transform] A128498 4.41162 [{(n+4)*a(n+4)+(-4-n)*a(n+3)+(10+n)*a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=1,a(2)=-3,a(3)=-3} ogf] A128498 9.81462 [-1/(x-1)/(x^2+1)^4 ogf] A128499 12.1988 [-59+590*x-649*x^2+(8+451*x-59*x^3-502*x^2)*f(x)+(51*x^2+51-51*x-51*x^3)*f(x)^2 lgdogf] A128499 29.8123 [[5*x^3-5*x+1] ogf_with_Euler_transform] A128499 4.38856 [{(n+4)*a(n+4)+(-4-n)*a(n+3)+(12+n)*a(n+2)+(-12-n)*a(n+1),a(0)=1,a(1)=1,a(2)=-4,a(3)=-4} ogf] A128499 8.12088 [-1/(x-1)/(x^2+1)^5 ogf] A128504 10.5064 [1/(x^2-x+1)^3 ogf] A128504 19.3230 [3*x^5-3*x^2-3*x+3 ogf_with_Euler_transform] A128504 35.9762 [-3*(2*x-1)/(x^2-x+1) lgdogf] A128504 4.27259 [{(-n-3)*a(n+3)+(5+n)*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=3,a(2)=3} ogf] A128508 11.0594 [-(-1-7*x-x^5+7*x^6-20*x^3-13*x^4-13*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^3-x^2-x-1) lgdogf] A128508 6.85616 [-x^5*(x^3-x^2-x-1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A128518 14.0874 [-(-2*x^14+2*x^12-2)/(-x^2+1) ogf_with_Euler_transform] A128533 12.8194 [-x*(x-4)/(x+1)/(x^2-3*x+1) ogf] A128533 15.3320 [-(7+16*x+2*x^3-14*x^2)/(-4+x)/(x+1)/(x^2-3*x+1) lgdogf] A128533 6.58292 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=7} ogf] A128533 6.76577 [(7*f(x)+16)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-4*x) ogf] A128534 14.6534 [-x*(3*x-2)/(x+1)/(x^2-3*x+1) ogf] A128534 6.99592 [-(1+8*x+6*x^3-12*x^2)/(3*x-2)/(x+1)/(x^2-3*x+1) lgdogf] A128534 7.52471 [(270*f(x)-187)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-2*x) ogf] A128534 7.52471 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A128535 13.3142 [x*(4*x-1)/(x+1)/(x^2-3*x+1) ogf] A128535 15.6676 [-(-2+4*x+8*x^3-11*x^2)/(4*x-1)/(x+1)/(x^2-3*x+1) lgdogf] A128535 6.83705 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=-1,a(2)=2} ogf] A128535 6.89919 [(95*f(x)+156)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-4*x^2+f(x)+x) ogf] A128543 12.1342 [-(2*x^2-2*x-1)/(2*x-1)^2 ogf] A128543 27.3820 [6/(2*x-1)/(2*x^2-2*x-1) lgdogf] A128543 6.24383 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=6,a(2)=18} ogf] A128543 9.05796 [-4*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+2*x+1 ogf] A128580 4.20818 [-(-2*x^23-x^22-2*x^21-x^18-x^17-x^16-x^15-2*x^13-x^12-2*x^11-x^10-2*x^9-x^7-x^6-x^5-x^4-2*x-1)/(x^24-1) ogf_with_Euler_transform] A128582 99.9999 Evaluated at exp(-Pi) 1/96*exp(5/6*Pi)/Pi^(1/2)*2^(3/4)*3^(1/2)/GAMMA(2/3)/GAMMA(7/8)^3*GAMMA(5/8)^3*GAMMA(11/12)*(2+2^(1/2))*(3^(1/2)-1) A128587 12.9448 [-(3*x^2+3*x+1)/(x+1)/(x^2-x-1) ogf] A128587 13.0896 [-(1+6*x+3*x^4+6*x^3+9*x^2)/(x+1)/(3*x^2+3*x+1)/(x^2-x-1) lgdogf] A128587 7.29867 [{-a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A128587 7.37714 [(2*f(x)+1)*(f(x)*x^3-2*f(x)*x+3*x^2-f(x)+3*x+1) ogf] A128588 14.6876 [-(x^2+x+1)/(x^2+x-1) ogf] A128588 15.9856 [-2*(2*x+1)/(x^2+x+1)/(x^2+x-1) lgdogf] A128588 7.63180 [{a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A128588 8.02519 [-(-1+3*f(x))*(f(x)*x^2+f(x)*x+x^2-f(x)+x+1) ogf] A128591 4.40003 [-(2*x^10+2*x^8+x^7+2*x^6+2*x^4+x^2+2)/(-x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A128591 99.9999 Evaluated at exp(-Pi) 1/4*exp(11/24*Pi)*Pi^(1/2)*2^(1/8)*GAMMA(11/12)^(3/2)*GAMMA(7/12)^(3/2)*(3^(1/2)-1)/GAMMA(3/4)^5/(2^(1/2)*(3^(1/2)-1))^(1/2) A128614 21.9574 [-2*(1+6*x)/(x+1)/(3*x-1) lgdegf] A128614 3.71859 [{(-3*n^2-21*n-36)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=6,a(2)=24} ogf] A128615 18.9996 [[2*x^2-1] ogf_with_Euler_transform] A128615 20.4848 [-(-1-x+5*x^2)/(-1+x)/(x^2+x+1) lgdogf] A128615 8.36982 [-x/(x-1)/(x^2+x+1)^2 ogf] A128616 5.11589 [-(-2*x^6+2*x^5-2*x^4+x^3-x^2)/(x^7-x^6+x^5+x^2-x+1) ogf_with_Euler_transform] A128617 3.39238 [-(2*x^14-x^13+x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(-x^15-1) ogf_with_Euler_transform] A128620 8.65682 [-(x^3-x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A128624 9.71818 [(3*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A128625 10.4611 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=8} ogf] A128625 16.7378 [-5*f(x)*x+f(x)-3*x-1 ogf] A128625 20.3567 [-(3*x+1)/(5*x-1) ogf] A128625 20.5690 [-5/6*x-1/6+1/6*(25*x^2+22*x+1)^(1/2) revogf] A128625 41.1381 [-8/(3*x+1)/(5*x-1) lgdogf] A128632 12.1428 [-(5*x^4+4*x^3+6*x^2+4*x+5)/(-x^6+1) ogf_with_Euler_transform] A128633 17.9191 [-(4*x-4)/(x^3+1) ogf_with_Euler_transform] A128634 4.53029 [{(-4*n^2-22*n-30)*a(n+1)+(5*n^2+29*n+40)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=2,a(2)=8} ogf] A128634 7.13623 [f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2-6*f(x)*x^2+8*f(x)*x-2*f(x)+4*x ogf] A128637 12.7624 [-(-8*x^4-4*x^3-4*x-8)/(x^6-1) ogf_with_Euler_transform] A128640 18.0369 [-(4*x-4)/(-x^3-1) ogf_with_Euler_transform] A128650 5.22671 [{(-4*n^2-14*n-12)*a(n+1)+(n^2+4*n+3)*a(n+2),a(0)=0,a(1)=4} ogf] A128650 8.00548 [-4*f(x)^2*x^2+f(x)^2*x-16*f(x)*x+4*f(x)-16*x ogf] A128650 9.58304 [1/8*((x^2+24*x+16)^(1/2)*x+4*(x^2+24*x+16)^(1/2)-16-16*x+x^2)/x^2 revogf] A128675 2.74452 [-222*(3*x+2)*(2*x^2+1)/(37*x^4-1) ogf] A128692 12.9615 [-(-16*x^2+8*x-16)/(x^4-1) ogf_with_Euler_transform] A128692 99.9999 Evaluated at exp(-Pi) 1/2 A128696 5.27837 [-x*(x^6-20*x^5-166*x^4+318*x^3+166*x^2-20*x-1)/(x-1)/(x^2+x-1)/(x^2-29*x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A128697 5.11046 [x*(x+1)*(x^6-34*x^5-458*x^4+2242*x^3-458*x^2-34*x+1)/(x^2+3*x+1)/(x^2-7*x+1)/(x^2+18*x+1)/(x^2-47*x+1)/(x-1)^2 ogf] A128698 5.73910 [-x*(x^6+34*x^5-458*x^4-2242*x^3-458*x^2+34*x+1)/(x+1)/(x^2+47*x+1)/(x^2-18*x+1)/(x^2+7*x+1)/(x^2-3*x+1) ogf] A128711 6.53982 [-(-6*x^7+2*x^6-3*x^5+2*x^4-8*x^3+2*x^2-3*x+2)/(x^8-1) ogf_with_Euler_transform] A128711 99.9999 Evaluated at exp(-Pi) 1/256*exp(1/2*Pi)*GAMMA(5/8)^6*2^(3/4)*(7*2^(1/2)+10)*(2+2^(1/2))^(1/2)/Pi^(3/2)/GAMMA(7/8)^6 A128712 14.5005 [-(6*x^3+5*x^2+8*x+5)/(-x^4+1) ogf_with_Euler_transform] A128712 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/8*Pi)*Pi^(3/2)*2^(3/8)/GAMMA(3/4)^6 A128713 14.2871 [-(-6*x^3-7*x^2-4*x-7)/(x^4-1) ogf_with_Euler_transform] A128713 99.9999 Evaluated at exp(-Pi) 1/8*exp(3/8*Pi)*Pi^(3/2)*2^(1/8)/GAMMA(3/4)^6 A128714 3.76798 [{5*a(n)*n+(-16*n-14)*a(n+1)+(13*n+32)*a(n+2)+(-2*n-8)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A128714 6.47027 [-f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A128714 8.80721 [-(3*(x-1)^(1/2)+2*(5*x-1)^(1/2)*x-3*(5*x-1)^(1/2))/(x-2)/x/(5*x-1)^(1/2) lgdogf] A128720 10.3361 [f(x)^2*x^2+f(x)*x^2+f(x)*x-f(x)+1 ogf] A128720 14.5603 [1/2/x*(-1-x-x^2+(1+2*x+7*x^2+2*x^3+x^4)^(1/2)) revogf] A128723 6.64178 [-f(x)^2*x^2-3*f(x)^2*x-2*f(x)*x^2-x^2+2*f(x)+3*x-2 ogf] A128725 19.2157 [-1/2*(-1+(1+4*x^2)^(1/2))/x*(x-1) revogf] A128725 6.81046 [-f(x)^3*x^2+2*f(x)^2*x+f(x)*x^2-f(x)*x-f(x)+1 ogf] A128726 3.88893 [5*f(x)^2*x^3-16*f(x)^2*x^2+5*f(x)*x^3+13*f(x)^2*x-11*f(x)*x^2+x^3-2*f(x)^2+7*f(x)*x-f(x) ogf] A128729 5.86618 [-f(x)^3*x^2-f(x)^2*x^2+2*f(x)^2*x+f(x)*x^2-x^2-f(x)-x+1 ogf] A128730 4.28248 [-5*f(x)^2*x^3+16*f(x)^2*x^2+5*f(x)*x^3-13*f(x)^2*x-6*f(x)*x^2-x^3+2*f(x)^2+f(x)*x ogf] A128732 6.48853 [-5*f(x)^2*x^2+11*f(x)^2*x-2*f(x)^2+5*f(x)*x+x^2-f(x) ogf] A128734 4.43072 [-5*f(x)^2*x^3+11*f(x)^2*x^2+5*f(x)*x^3-2*f(x)^2*x-16*f(x)*x^2+x^3+8*f(x)*x-f(x) ogf] A128736 6.84435 [x*f(x)^3+4*f(x)^2*x-2*f(x)^2-6*f(x)*x+3*f(x)+2*x-1 ogf] A128737 3.60078 [-5*f(x)^2*x^4+16*f(x)^2*x^3+10*f(x)*x^4-13*f(x)^2*x^2-32*f(x)*x^3-x^4+2*f(x)^2*x+31*f(x)*x^2-10*f(x)*x+f(x) ogf] A128739 5.37881 [f(x)^3*x^2+f(x)^2*x^2-f(x)^2*x-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1 ogf] A128740 4.3616 [-5*f(x)^2*x^3+11*f(x)^2*x^2+5*f(x)*x^3-2*f(x)^2*x-11*f(x)*x^2-x^3+7*f(x)*x+x^2-f(x) ogf] A128743 3.36449 [{(-5*n^3-10*n^2-5*n)*a(n)+(6*n^3+15*n^2+7*n-2)*a(n+1)+(-n^3-3*n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A128743 4.15888 [-5*f(x)^2*x^3+6*f(x)^2*x^2+5*f(x)*x^3-f(x)^2*x-11*f(x)*x^2-x^3+7*f(x)*x+2*x^2-f(x) ogf] A128746 12.4793 [1/2/(x^2-11*x-1)*(-2-11*x+((1+8*x)*(2+x)^2)^(1/2)) revogf] A128746 3.53613 [{(-5*n^2-30*n-40)*a(n+1)+(6*n^2+45*n+86)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=1,a(1)=5,a(2)=22} ogf] A128746 6.56803 [-(-3+(x-1)^(1/2)*(5*x-1)^(1/2)*x-3*(x-1)^(1/2)*(5*x-1)^(1/2))/x/(x-2)/(x-1)^(1/2)/(5*x-1)^(1/2) lgdogf] A128746 7.66874 [f(x)^2*x^3-11*f(x)*x^2+11*f(x)*x-2*f(x)-x+2 ogf] A128748 4.56886 [-5*f(x)^2*x^4+11*f(x)^2*x^3-2*f(x)^2*x^2+5*f(x)*x^3-6*f(x)*x^2+6*f(x)*x-x^2-f(x)+2*x ogf] A128750 13.0324 [1/2/(x-1)*(-x^2-1+(x^4+10*x^2+1-4*x^3-4*x)^(1/2)) revogf] A128750 8.00446 [-f(x)^2*x^2-f(x)^2*x-f(x)*x^2+f(x)+x-1 ogf] A128752 3.69541 [{(-15*n^2-25*n+40)*a(n)+(18*n^2+54*n+36)*a(n+1)+(-3*n^2-11*n-10)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A128752 7.47777 [5*f(x)^2*x-x^3-f(x)^2+5*f(x)*x+2*x^2-f(x) ogf] A128758 17.6668 [-(-4*x-4)/(-x^3+1) ogf_with_Euler_transform] A128765 7.15431 [-(x^13-2*x^12+x^11-x^8-x^7+x^6+x^5-x^2+2*x-1)/(x^15+x^10+x^5+1) ogf_with_Euler_transform] A128766 3.93205 [-(x+1)*(x^6+12*x^5+93*x^4+208*x^3+93*x^2+12*x+1)/(x-1)^9 ogf] A128766 5.74800 [-2*(11+157*x+23*x^6+1015*x^4+1505*x^3+249*x^5+819*x^2+x^7)/(x-1)/(x+1)/(x^6+12*x^5+93*x^4+208*x^3+93*x^2+12*x+1) lgdogf] A128770 3.95863 [(7*x^21+5*x^18+2*x^15+3*x^12+5*x^9+2*x^6-x^3-2)/(7*x^21-4*x^19+5*x^18-14*x^16+2*x^15+3*x^12+2*x^10+5*x^9-6*x^7+2*x^6-2*x^4-x^3+4*x-2) ogf] A128771 4.16442 [-(2*x^16+x^15+2*x^14+x^13+2*x^12+x^11+2*x^10+x^9+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(-x^18+1) ogf_with_Euler_transform] A128782 21.0942 [-16*(2*x+1)/(-1+4*x)/(4*x+1) lgdogf] A128782 5.21539 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=4,a(2)=64} ogf] A128782 7.12915 [(4*f(x)+1)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+16*x^2-f(x)+4*x) ogf] A128782 9.83230 [-4*x*(4*x+1)/(4*x-1)^3 ogf] A128784 21.8577 [-10*(2+5*x)/(5*x-1)/(5*x+1) lgdogf] A128784 5.12091 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=0,a(1)=5,a(2)=100} ogf] A128784 5.34952 [(4*f(x)+1)*(125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x+25*x^2-f(x)+5*x) ogf] A128784 9.66365 [-5*x*(5*x+1)/(5*x-1)^3 ogf] A128785 21.1563 [-24*(3*x+1)/(6*x-1)/(6*x+1) lgdogf] A128785 4.91572 [{a(n+3)-18*a(n+2)+108*a(n+1)-216*a(n),a(0)=0,a(1)=6,a(2)=144} ogf] A128785 5.13323 [(4*f(x)+1)*(216*f(x)*x^3-108*f(x)*x^2+18*f(x)*x+36*x^2-f(x)+6*x) ogf] A128785 9.20722 [-6*x*(6*x+1)/(6*x-1)^3 ogf] A128786 22.2469 [-14*(7*x+2)/(7*x-1)/(7*x+1) lgdogf] A128786 5.16525 [{a(n+3)-21*a(n+2)+147*a(n+1)-343*a(n),a(0)=0,a(1)=7,a(2)=196} ogf] A128786 5.3938 [(4*f(x)+1)*(343*f(x)*x^3-147*f(x)*x^2+21*f(x)*x+49*x^2-f(x)+7*x) ogf] A128786 9.67459 [-7*x*(7*x+1)/(7*x-1)^3 ogf] A128787 19.8197 [-32*(4*x+1)/(-1+8*x)/(8*x+1) lgdogf] A128787 4.77646 [{a(n+3)-24*a(n+2)+192*a(n+1)-512*a(n),a(0)=0,a(1)=8,a(2)=256} ogf] A128787 4.98781 [(4*f(x)+1)*(512*f(x)*x^3-192*f(x)*x^2+24*f(x)*x+64*x^2-f(x)+8*x) ogf] A128787 8.94638 [-8*x*(8*x+1)/(8*x-1)^3 ogf] A128788 18.9930 [-18*(2+9*x)/(9*x-1)/(9*x+1) lgdogf] A128788 4.41789 [{a(n+3)-27*a(n+2)+243*a(n+1)-729*a(n),a(0)=0,a(1)=9,a(2)=324} ogf] A128788 4.61337 [(4*f(x)+1)*(729*f(x)*x^3-243*f(x)*x^2+27*f(x)*x+81*x^2-f(x)+9*x) ogf] A128788 8.27478 [-9*x*(9*x+1)/(9*x-1)^3 ogf] A128789 16.5896 [-8*(2+7*x+2*x^2)/(-1+2*x)/(4*x^2+8*x+1) lgdogf] A128789 3.26693 [{(n+3)*a(n+4)+(-4+6*n)*a(n+3)+(-68-12*n)*a(n+2)+(-16-8*n)*a(n+1),a(0)=0,a(1)=2,a(2)=32,a(3)=216} ogf] A128789 4.49761 [-(660*f(x)+1087)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*x^3-8*f(x)*x-16*x^2+f(x)-2*x) ogf] A128789 8.52795 [2*x*(4*x^2+8*x+1)/(2*x-1)^4 ogf] A128790 14.3211 [-32*(1+7*x+4*x^2)/(4*x-1)/(16*x^2+16*x+1) lgdogf] A128790 3.97434 [-(660*f(x)+1087)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-64*x^3-16*f(x)*x-64*x^2+f(x)-4*x) ogf] A128790 7.35988 [4*x*(16*x^2+16*x+1)/(4*x-1)^4 ogf] A128791 13.3527 [-10*(4+35*x+25*x^2)/(5*x-1)/(25*x^2+20*x+1) lgdogf] A128791 3.81045 [-(660*f(x)+1087)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2-125*x^3-20*f(x)*x-100*x^2+f(x)-5*x) ogf] A128791 6.94046 [5*x*(25*x^2+20*x+1)/(5*x-1)^4 ogf] A128792 12.5697 [-24*(2+21*x+18*x^2)/(6*x-1)/(36*x^2+24*x+1) lgdogf] A128792 3.56604 [-(660*f(x)+1087)*(1296*f(x)*x^4-864*f(x)*x^3+216*f(x)*x^2-216*x^3-24*f(x)*x-144*x^2+f(x)-6*x) ogf] A128792 6.46082 [6*x*(36*x^2+24*x+1)/(6*x-1)^4 ogf] A128793 11.9258 [-14*(4+49*x+49*x^2)/(7*x-1)/(49*x^2+28*x+1) lgdogf] A128793 3.3633 [-(660*f(x)+1087)*(2401*f(x)*x^4-1372*f(x)*x^3+294*f(x)*x^2-343*x^3-28*f(x)*x-196*x^2+f(x)-7*x) ogf] A128793 6.06176 [7*x*(49*x^2+28*x+1)/(7*x-1)^4 ogf] A128794 12.4529 [-64*(1+14*x+16*x^2)/(8*x-1)/(64*x^2+32*x+1) lgdogf] A128794 3.50953 [-(660*f(x)+1087)*(4096*f(x)*x^4-2048*f(x)*x^3+384*f(x)*x^2-512*x^3-32*f(x)*x-256*x^2+f(x)-8*x) ogf] A128794 6.32530 [8*x*(64*x^2+32*x+1)/(8*x-1)^4 ogf] A128795 11.1548 [-18*(4+63*x+81*x^2)/(9*x-1)/(81*x^2+36*x+1) lgdogf] A128795 3.14823 [-(660*f(x)+1087)*(6561*f(x)*x^4-2916*f(x)*x^3+486*f(x)*x^2-729*x^3-36*f(x)*x-324*x^2+f(x)-9*x) ogf] A128795 5.67414 [9*x*(81*x^2+36*x+1)/(9*x-1)^4 ogf] A128796 14.1864 [-8*x^2/(2*x-1)^3 ogf] A128796 5.87906 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=8} ogf] A128796 64.5985 [-6/(2*x-1) lgdogf] A128796 7.95824 [8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+8*x^2-f(x) ogf] A128797 12.9339 [-18*x^2/(3*x-1)^3 ogf] A128797 5.49404 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=0,a(2)=18} ogf] A128797 55.8687 [-9/(-1+3*x) lgdogf] A128797 7.39081 [27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+18*x^2-f(x) ogf] A128798 12.1159 [-32*x^2/(4*x-1)^3 ogf] A128798 48.9660 [-12/(-1+4*x) lgdogf] A128798 5.20773 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=0,a(2)=32} ogf] A128798 6.98449 [64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+32*x^2-f(x) ogf] A128799 11.7433 [-50*x^2/(5*x-1)^3 ogf] A128799 5.10577 [{a(n+3)-15*a(n+2)+75*a(n+1)-125*a(n),a(0)=0,a(1)=0,a(2)=50} ogf] A128799 52.8338 [-15/(5*x-1) lgdogf] A128799 6.82748 [125*f(x)*x^3-75*f(x)*x^2+15*f(x)*x+50*x^2-f(x) ogf] A128800 11.1427 [-72*x^2/(6*x-1)^3 ogf] A128800 4.89894 [{a(n+3)-18*a(n+2)+108*a(n+1)-216*a(n),a(0)=0,a(1)=0,a(2)=72} ogf] A128800 51.1262 [-18/(6*x-1) lgdogf] A128800 6.53192 [216*f(x)*x^3-108*f(x)*x^2+18*f(x)*x+72*x^2-f(x) ogf] A128801 11.5048 [-98*x/(7*x-1)^3 ogf] A128801 4.88954 [{a(n+3)-21*a(n+2)+147*a(n+1)-343*a(n),a(0)=0,a(1)=98,a(2)=2058} ogf] A128801 5.53533 [(3*f(x)+14)*(343*f(x)*x^3-147*f(x)*x^2+21*f(x)*x-f(x)+98*x) ogf] A128801 52.5522 [-21/(7*x-1) lgdogf] A128802 10.5054 [-128*x^2/(8*x-1)^3 ogf] A128802 4.66906 [{a(n+3)-24*a(n+2)+192*a(n+1)-512*a(n),a(0)=0,a(1)=0,a(2)=128} ogf] A128802 45.0416 [-24/(-1+8*x) lgdogf] A128802 6.20773 [512*f(x)*x^3-192*f(x)*x^2+24*f(x)*x+128*x^2-f(x) ogf] A128803 4.40721 [{a(n+3)-27*a(n+2)+243*a(n+1)-729*a(n),a(0)=0,a(1)=0,a(2)=162} ogf] A128803 42.4981 [-27/(-1+9*x) lgdogf] A128803 5.8596 [729*f(x)*x^3-243*f(x)*x^2+27*f(x)*x+162*x^2-f(x) ogf] A128803 9.91623 [-162*x^2/(9*x-1)^3 ogf] A128805 5.67176 [(x^16-x^13+x^12-x^9+x^8+x^4-x+1)/(x^16-2*x^13+x^12-2*x^9+x^8+x^4-2*x+1) ogf] A128814 5.63691 [{(n^2+5*n+8)*a(n+1)-2*a(n+2),a(0)=1,a(1)=2} ogf] A128822 15.4065 [-(47+177*x+x^3+63*x^2)/(x-1)/(x^3+30*x^2+39*x+2) lgdogf] A128822 3.57220 [{(-2917*n^2-13643*n-15618)*a(n+1)+(9842*n^2+62208*n+130074)*a(n+2)+(-6925*n^2-36541*n-47298)*a(n+3),a(0)=2,a(1)=47,a(2)=206} ogf] A128822 4.89438 [(17934336*f(x)+523273843)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-30*x^2+f(x)-39*x-2) ogf] A128822 9.54094 [(x^3+30*x^2+39*x+2)/(x-1)^4 ogf] A128831 4.06613 [(2596769*f(x)+1845168)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2-15*f(x)*x-8*x^2+f(x)-12*x-1) ogf] A128831 6.23344 [-(-27+124*x+1344*x^4-2624*x^3+1024*x^5+600*x^2)/(x-1)/(8*x-1)/(-1+2*x)/(-1+4*x)/(8*x^2+12*x+1) lgdogf] A128831 7.96961 [(8*x^2+12*x+1)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A128832 5.18832 [-(4*x+1)*(16*x^2+46*x+1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A128833 4.20568 [(1024*x^4+5760*x^3+2800*x^2+180*x+1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A128834 10.2272 [(f(x)+1)*(f(x)*x^2-f(x)*x+f(x)-x) ogf] A128834 10.2272 [{a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A128834 25.0515 [x^5-x^2-x+1 ogf_with_Euler_transform] A128834 25.1032 [x/(x^2-x+1) ogf] A128834 62.8285 [-(2*x-1)/(x^2-x+1) lgdogf] A128835 8.85831 [(2*x^6+2*x^5+x^4+5*x^3+16*x^2+5*x+11)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A128862 3.12108 [-(x^2-5*x+1)/(x-1)/(x^2-14*x+1) ogf] A128862 5.68755 [(1097*f(x)-16)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)-5*x+1) ogf] A128865 4.2575 [(2596769*f(x)+7380672)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2-15*f(x)*x-32*x^2+f(x)-48*x-4) ogf] A128865 6.57800 [-(-27+124*x+1344*x^4-2624*x^3+1024*x^5+600*x^2)/(x-1)/(8*x-1)/(-1+2*x)/(-1+4*x)/(8*x^2+12*x+1) lgdogf] A128865 8.29092 [4*(8*x^2+12*x+1)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A128866 4.63493 [-5*(4*x+1)*(16*x^2+46*x+1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A128880 8.03100 [-(x^4+54*x^3+34*x^2+54*x+1)/(x+1)^2/(x-1)^3 ogf] A128880 9.69513 [-(55+127*x+x^5+160*x^3+109*x^4+412*x^2)/(x-1)/(x+1)/(x^4+54*x^3+34*x^2+54*x+1) lgdogf] A128917 10.4839 [-(x^2-12*x+1)/(x-1)/(x^2-62*x+1) ogf] A128917 5.49973 [(302637*f(x)-2912)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x+x^2-f(x)-12*x+1) ogf] A128917 5.68616 [{-a(n+3)+63*a(n+2)-63*a(n+1)+a(n),a(0)=1,a(1)=51,a(2)=3151} ogf] A128917 7.78948 [-(51-124*x-24*x^3+x^4+696*x^2)/(x-1)/(x^2-62*x+1)/(x^2-12*x+1) lgdogf] A128918 10.8337 [-(4*x^3-x^2+1)/(x+1)^2/(x-1)^3 ogf] A128918 16.8907 [-(1+3*x+8*x^4+x^3+11*x^2)/(x-1)/(x+1)/(4*x^3-x^2+1) lgdogf] A128919 2.73203 [{a(n+3)-143*a(n+2)+143*a(n+1)-a(n),a(0)=1,a(1)=148,a(2)=21022} ogf] A128919 5.12782 [-(x^2+5*x+1)/(x-1)/(x^2-142*x+1) ogf] A128922 3.11922 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=1,a(1)=451,a(2)=145351} ogf] A128922 5.72633 [-(x^2+128*x+1)/(x-1)/(x^2-322*x+1) ogf] A128929 13.6425 [-(-1-3*x-2*x^5-2*x^3-2*x^2+x^6+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2-1) lgdogf] A128929 14.3327 [-(x^4-x^2-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A128939 10.3856 [-(x+1)*(3*x^5-3*x^4+3*x^3+x^2+1)/(2*x^2-1)/(2*x^2+1) ogf] A128939 6.47362 [(-1-2*x+24*x^9-16*x^6-26*x^5-16*x^3-12*x^4-12*x^2)/(x+1)/(2*x^2-1)/(2*x^2+1)/(3*x^5-3*x^4+3*x^3+x^2+1) lgdogf] A128950 5.54959 [-(90*x^6-5*x^5+9*x^4+2*x^3+4*x^2+x-83)/(x-1)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A128951 4.64060 [-(80*x^5+76*x^4+84*x^3+78*x^2+79*x+78)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A128952 4.44884 [-(70*x^5-69*x^4+76*x^3-71*x^2+69*x-66)/(10*x-1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A128954 5.43747 [-(50*x^4-x^3+52*x^2-5*x+50)/(10*x-1)/(x^2+x+1)/(x^2-x+1) ogf] A128956 5.43747 [-(100*x^6+2*x^5+13*x^4+2*x^3+3*x^2+3*x-87)/(x-1)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A128957 4.64060 [-(90*x^5+81*x^4+89*x^3+84*x^2+83*x+86)/(10*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A128959 5.62121 [-(90*x^5-89*x^4+95*x^3-88*x^2+92*x-82)/(10*x-1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A128960 11.2068 [24*x/(2*x-1)^4 ogf] A128960 57.2049 [-8/(-1+2*x) lgdogf] A128960 6.14219 [{(n+1)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=24} ogf] A128960 6.3301 [-(7*f(x)+54)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-24*x) ogf] A128961 10.3720 [54*x/(3*x-1)^4 ogf] A128961 5.82809 [{(n+1)*a(n+2)+(-12-3*n)*a(n+1),a(0)=0,a(1)=54} ogf] A128961 5.91698 [(7*f(x)+81)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x+f(x)-54*x) ogf] A128961 54.8014 [-12/(3*x-1) lgdogf] A128962 47.3564 [-16/(-1+4*x) lgdogf] A128962 5.49629 [{(n+1)*a(n+2)+(-16-4*n)*a(n+1),a(0)=0,a(1)=96} ogf] A128962 5.58162 [(7*f(x)+108)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+f(x)-96*x) ogf] A128962 9.61850 [96*x/(4*x-1)^4 ogf] A128963 5.34446 [{(n+1)*a(n+2)+(-20-5*n)*a(n+1),a(0)=0,a(1)=150} ogf] A128963 5.47657 [(7*f(x)+135)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2-20*f(x)*x+f(x)-150*x) ogf] A128963 50.7129 [-20/(5*x-1) lgdogf] A128963 9.13731 [150*x/(5*x-1)^4 ogf] A128964 4.99821 [{(n+1)*a(n+2)+(-24-6*n)*a(n+1),a(0)=0,a(1)=216} ogf] A128964 5.73601 [(7*f(x)+162)*(1296*f(x)*x^4-864*f(x)*x^3+216*f(x)*x^2-24*f(x)*x+f(x)-216*x) ogf] A128964 8.40968 [216*x/(6*x-1)^4 ogf] A128965 4.76048 [{(n+1)*a(n+2)+(-28-7*n)*a(n+1),a(0)=0,a(1)=294} ogf] A128965 41.3578 [-28/(-1+7*x) lgdogf] A128965 5.5465 [(f(x)+27)*(2401*f(x)*x^4-1372*f(x)*x^3+294*f(x)*x^2-28*f(x)*x+f(x)-294*x) ogf] A128965 7.88455 [294*x/(7*x-1)^4 ogf] A128967 4.96974 [{(n+1)*a(n+2)+(-32-8*n)*a(n+1),a(0)=0,a(1)=384} ogf] A128967 43.2062 [-32/(-1+8*x) lgdogf] A128967 5.18044 [(7*f(x)+216)*(4096*f(x)*x^4-2048*f(x)*x^3+384*f(x)*x^2-32*f(x)*x+f(x)-384*x) ogf] A128967 8.23112 [384*x/(8*x-1)^4 ogf] A128969 38.5897 [-36/(-1+9*x) lgdogf] A128969 4.44529 [{(n+1)*a(n+2)+(-36-9*n)*a(n+1),a(0)=0,a(1)=486} ogf] A128969 5.26937 [(7*f(x)+243)*(6561*f(x)*x^4-2916*f(x)*x^3+486*f(x)*x^2-36*f(x)*x+f(x)-486*x) ogf] A128969 7.36252 [486*x/(9*x-1)^4 ogf] A128985 25.9541 [-3*(3+2*x)/(x+1)/(2*x-1) lgdogf] A128985 4.13354 [{(n+2)*a(n+3)+(-10-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=16,a(2)=144} ogf] A128985 4.6163 [(7263*f(x)+39878)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x-16*x^2+f(x)-16*x) ogf] A128985 9.03474 [16*x*(x+1)/(2*x-1)^4 ogf] A128986 24.1126 [-27*(x+1)/(3*x+2)/(3*x-1) lgdogf] A128986 3.97369 [{(4+2*n)*a(n+3)+(-30-3*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=0,a(1)=36,a(2)=486} ogf] A128986 4.40251 [(2421*f(x)+19939)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x-54*x^2+f(x)-36*x) ogf] A128986 8.49929 [18*x*(3*x+2)/(3*x-1)^4 ogf] A128987 20.9382 [-6*(4*x+3)/(2*x+1)/(-1+4*x) lgdogf] A128987 3.70430 [{(n+2)*a(n+3)+(-20-2*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=0,a(1)=64,a(2)=1152} ogf] A128987 4.0721 [(7263*f(x)+79756)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x-128*x^2+f(x)-64*x) ogf] A128987 7.75900 [64*x*(2*x+1)/(4*x-1)^4 ogf] A128988 20.5537 [-15*(3+5*x)/(5*x+2)/(5*x-1) lgdogf] A128988 3.58995 [{(4+2*n)*a(n+3)+(-50-5*n)*a(n+2)+(-75-25*n)*a(n+1),a(0)=0,a(1)=100,a(2)=2250} ogf] A128988 3.94142 [(7263*f(x)+99695)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2-20*f(x)*x-250*x^2+f(x)-100*x) ogf] A128988 7.41608 [50*x*(5*x+2)/(5*x-1)^4 ogf] A128989 3.37459 [{(n+2)*a(n+3)+(-30-3*n)*a(n+2)+(-54-18*n)*a(n+1),a(0)=0,a(1)=144,a(2)=3888} ogf] A128989 3.67924 [(2421*f(x)+39878)*(1296*f(x)*x^4-864*f(x)*x^3+216*f(x)*x^2-24*f(x)*x-432*x^2+f(x)-144*x) ogf] A128989 6.88065 [144*x*(3*x+1)/(6*x-1)^4 ogf] A128990 17.7248 [-21*(3+7*x)/(7*x+2)/(-1+7*x) lgdogf] A128990 3.19374 [{(4+2*n)*a(n+3)+(-70-7*n)*a(n+2)+(-147-49*n)*a(n+1),a(0)=0,a(1)=196,a(2)=6174} ogf] A128990 3.45624 [(7263*f(x)+139573)*(2401*f(x)*x^4-1372*f(x)*x^3+294*f(x)*x^2-28*f(x)*x-686*x^2+f(x)-196*x) ogf] A128990 6.46937 [98*x*(7*x+2)/(7*x-1)^4 ogf] A128991 18.9974 [-12*(3+8*x)/(4*x+1)/(8*x-1) lgdogf] A128991 3.32004 [{(n+2)*a(n+3)+(-40-4*n)*a(n+2)+(-96-32*n)*a(n+1),a(0)=0,a(1)=256,a(2)=9216} ogf] A128991 3.5459 [(7263*f(x)+159512)*(4096*f(x)*x^4-2048*f(x)*x^3+384*f(x)*x^2-32*f(x)*x-1024*x^2+f(x)-256*x) ogf] A128991 6.59806 [256*x*(4*x+1)/(8*x-1)^4 ogf] A128992 17.0507 [-81*(3*x+1)/(9*x+2)/(9*x-1) lgdogf] A128992 2.94650 [{(4+2*n)*a(n+3)+(-90-9*n)*a(n+2)+(-243-81*n)*a(n+1),a(0)=0,a(1)=324,a(2)=13122} ogf] A128992 3.23098 [(807*f(x)+19939)*(6561*f(x)*x^4-2916*f(x)*x^3+486*f(x)*x^2-36*f(x)*x-1458*x^2+f(x)-324*x) ogf] A128992 5.93029 [162*x*(9*x+2)/(9*x-1)^4 ogf] A128999 10.3260 [{a(n+4)-a(n+3),a(0)=1,a(1)=3,a(2)=4,a(3)=5} ogf] A128999 11.8011 [(26*f(x)-3)*(x^3+f(x)*x+x^2-f(x)+2*x+1) ogf] A128999 18.7036 [-(x^3+x^2+2*x+1)/(x-1) ogf] A128999 23.1590 [(-3-2*x+2*x^3-2*x^2)/(x-1)/(x^3+x^2+2*x+1) lgdogf] A129000 11.1551 [-(3*x^4+3*x^3+3*x^2+3*x+1)/(x-1)/(x+1) ogf] A129000 6.71374 [{-a(n+5)+a(n+3),a(0)=1,a(1)=3,a(2)=4,a(3)=6,a(4)=7} ogf] A129000 7.39882 [-(418*f(x)+69)*(3*x^4+f(x)*x^2+3*x^3+3*x^2-f(x)+3*x+1) ogf] A129000 9.69187 [(-3-8*x+6*x^5+3*x^4-12*x^3-12*x^2)/(-1+x)/(x+1)/(3*x^4+3*x^3+3*x^2+3*x+1) lgdogf] A129002 22.5869 [-12*(1+2*x)/(4*x+1)/(-1+2*x) lgdogf] A129002 4.18925 [{(n+3)*a(n+3)+(-8+2*n)*a(n+2)+(-32-8*n)*a(n+1),a(0)=4,a(1)=48,a(2)=288} ogf] A129002 4.81451 [(13149*f(x)+105796)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-16*x-4) ogf] A129002 9.92529 [4*(4*x+1)/(2*x-1)^4 ogf] A129003 22.5520 [-18*(3*x+1)/(6*x+1)/(3*x-1) lgdogf] A129003 3.95594 [{(n+3)*a(n+3)+(-12+3*n)*a(n+2)+(-72-18*n)*a(n+1),a(0)=6,a(1)=108,a(2)=972} ogf] A129003 4.63494 [(4383*f(x)+52898)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x+f(x)-36*x-6) ogf] A129003 9.26988 [6*(6*x+1)/(3*x-1)^4 ogf] A129004 19.0550 [-24*(4*x+1)/(1+8*x)/(4*x-1) lgdogf] A129004 3.30847 [{(n+3)*a(n+3)+(-16+4*n)*a(n+2)+(-128-32*n)*a(n+1),a(0)=8,a(1)=192,a(2)=2304} ogf] A129004 3.83976 [(13149*f(x)+211592)*(256*f(x)*x^4-256*f(x)*x^3+96*f(x)*x^2-16*f(x)*x+f(x)-64*x-8) ogf] A129004 7.73599 [8*(8*x+1)/(4*x-1)^4 ogf] A129005 20.7162 [-30*(5*x+1)/(10*x+1)/(5*x-1) lgdogf] A129005 3.77492 [{(n+2)*a(n+3)+(-25+5*n)*a(n+2)+(-150-50*n)*a(n+1),a(0)=0,a(1)=10,a(2)=300} ogf] A129005 4.17651 [(2565*f(x)+6151)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2-20*f(x)*x-100*x^2+f(x)-10*x) ogf] A129005 7.85184 [10*x*(10*x+1)/(5*x-1)^4 ogf] A129006 19.1242 [-36*(6*x+1)/(1+12*x)/(6*x-1) lgdogf] A129006 3.41756 [{(n+3)*a(n+3)+(-24+6*n)*a(n+2)+(-288-72*n)*a(n+1),a(0)=12,a(1)=432,a(2)=7776} ogf] A129006 3.90579 [(4383*f(x)+105796)*(1296*f(x)*x^4-864*f(x)*x^3+216*f(x)*x^2-24*f(x)*x+f(x)-144*x-12) ogf] A129006 7.59458 [12*(12*x+1)/(6*x-1)^4 ogf] A129007 17.9228 [-42*(7*x+1)/(14*x+1)/(7*x-1) lgdogf] A129007 3.18589 [{(n+3)*a(n+3)+(-28+7*n)*a(n+2)+(-392-98*n)*a(n+1),a(0)=14,a(1)=588,a(2)=12348} ogf] A129007 3.61218 [(13149*f(x)+370286)*(2401*f(x)*x^4-1372*f(x)*x^3+294*f(x)*x^2-28*f(x)*x+f(x)-196*x-14) ogf] A129007 7.02642 [14*(14*x+1)/(7*x-1)^4 ogf] A129008 18.7150 [-48*(8*x+1)/(16*x+1)/(8*x-1) lgdogf] A129008 3.30315 [{(n+3)*a(n+3)+(-32+8*n)*a(n+2)+(-512-128*n)*a(n+1),a(0)=16,a(1)=768,a(2)=18432} ogf] A129008 3.76838 [(13149*f(x)+423184)*(4096*f(x)*x^4-2048*f(x)*x^3+384*f(x)*x^2-32*f(x)*x+f(x)-256*x-16) ogf] A129008 7.33027 [16*(16*x+1)/(8*x-1)^4 ogf] A129009 16.6352 [-54*(9*x+1)/(18*x+1)/(9*x-1) lgdogf] A129009 2.94208 [{(n+3)*a(n+3)+(-36+9*n)*a(n+2)+(-648-162*n)*a(n+1),a(0)=18,a(1)=972,a(2)=26244} ogf] A129009 3.40441 [(1461*f(x)+52898)*(6561*f(x)*x^4-2916*f(x)*x^3+486*f(x)*x^2-36*f(x)*x+f(x)-324*x-18) ogf] A129009 6.52900 [18*(18*x+1)/(9*x-1)^4 ogf] A129026 21.1030 [-4*(9-7*x+3*x^2)/(x-1)/(4*x^2-9*x+9) lgdogf] A129026 3.74008 [{(27+9*n)*a(n+4)+(-72-18*n)*a(n+3)+(41+13*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=27,a(2)=108,a(3)=282} ogf] A129026 8.95880 [-3*x*(4*x^2-9*x+9)/(x-1)^5 ogf] A129027 17.0136 [-2*(25+11*x+x^3+3*x^2)/(x-1)/(x^3+x^2+5*x+9) lgdogf] A129027 3.89229 [{(-43*n^2-396*n-620)*a(n+1)+(196*n^2+1277*n+981)*a(n+2)+(-153*n^2-441*n-270)*a(n+3),a(0)=0,a(1)=108,a(2)=600} ogf] A129027 7.90622 [-12*x*(x^3+x^2+5*x+9)/(x-1)^5 ogf] A129028 17.2311 [-2*(25+11*x+x^3+3*x^2)/(x-1)/(x^3+x^2+5*x+9) lgdogf] A129028 3.96261 [{(-43*n^2-396*n-620)*a(n+1)+(196*n^2+1277*n+981)*a(n+2)+(-153*n^2-441*n-270)*a(n+3),a(0)=0,a(1)=27,a(2)=150} ogf] A129028 8.26609 [-3*x*(x^3+x^2+5*x+9)/(x-1)^5 ogf] A129029 15.7700 [-2*(24+45*x+5*x^3+6*x^2)/(x-1)/(5*x^3-x^2+23*x+5) lgdogf] A129029 3.85822 [{(-67*n^2-1790*n-3312)*a(n+1)+(1858*n^2+14884*n+20946)*a(n+2)+(-1791*n^2-6198*n-5232)*a(n+3),a(0)=0,a(1)=30,a(2)=288} ogf] A129029 8.24440 [-6*x*(5*x^3-x^2+23*x+5)/(x-1)^5 ogf] A129086 6.03509 [3*f(x)^2*x^2-f(x)^2*x+4*f(x)*x^2-4*f(x)*x+f(x)+3*x-1 ogf] A129086 9.91121 [-1/2*(-1-4*x+3*x^2+(1-4*x+6*x^2-8*x^3+9*x^4)^(1/2))/(3+4*x) revogf] A129109 12.9035 [-(4*x^2+x+7)/(x-1)^3 ogf] A129109 22.0564 [-2*(11+5*x+2*x^2)/(x-1)/(4*x^2+x+7) lgdogf] A129109 6.72745 [(1264*f(x)-4663)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+x+7) ogf] A129109 6.90449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=22,a(2)=49} ogf] A129110 10.4682 [-1/2*(-3*(1+4*x^2)^(1/2)+5*x*(1+4*x^2)^(1/2)+3-x-2*x^2)/x/(x-1)/(1+4*x^2)^(1/2) lgdogf] A129111 12.9484 [-(5*x^2+2*x+8)/(x-1)^3 ogf] A129111 21.5224 [-(26+14*x+5*x^2)/(x-1)/(5*x^2+2*x+8) lgdogf] A129111 6.86878 [(20725*f(x)-96599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+2*x+8) ogf] A129111 6.92853 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=26,a(2)=59} ogf] A129113 12.9194 [x^3/(x^4-x^3-5*x^2-x+1) ogf] A129113 14.6438 [-(-1-10*x-3*x^2+4*x^3)/(-5*x^2+1-x+x^4-x^3) lgdogf] A129113 6.39446 [-f(x)*x^4+f(x)*x^3+5*f(x)*x^2+x^3+f(x)*x-f(x) ogf] A129126 4.14093 [(x-2)*(2*x^5-14*x^4+35*x^3-32*x^2-x+11)/(x-1)^9 ogf] A129126 6.59168 [-(-185+230*x+135*x^2-360*x^3+225*x^4-60*x^5+6*x^6)/(x-1)/(x-2)/(2*x^5-14*x^4+35*x^3-32*x^2-x+11) lgdogf] A129135 3.98256 [{(n^2+15*n+56)*a(n+1)+(n^2+10*n+16)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=21} ogf] A129136 3.17941 [{(n^2+17*n+72)*a(n+1)+(n^2+11*n+18)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=28} ogf] A129147 14.2447 [-2*f(x)^2*x^2-f(x)^2*x+f(x)-1 ogf] A129147 4.18129 [{(-16*n-32)*a(n+1)+(-16*n-44)*a(n+2)+(-2*n-4)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=13} ogf] A129147 45.9587 [-x*(x-1)/(1+2*x^2) revogf] A129148 26.9440 [-x*(x-1)/(1+x+2*x^2) revogf] A129148 7.1566 [-2*f(x)^2*x^2-f(x)^2*x-f(x)*x+f(x)-1 ogf] A129149 3.23041 [{(n^2+19*n+90)*a(n+1)+(n^2+12*n+20)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=36} ogf] A129153 3.32984 [{(n^2+21*n+110)*a(n+1)+(n^2+13*n+22)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=45} ogf] A129160 7.74172 [-5*f(x)^2*x^2+f(x)^2*x+10*f(x)*x^2-12*f(x)*x-x^2+2*f(x)+3*x-2 ogf] A129164 3.85628 [{(5*n+15)*a(n+1)+(-11*n-41)*a(n+2)+(7*n+31)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=5,a(2)=22,a(3)=97} ogf] A129164 5.90127 [5*f(x)^2*x^4-11*f(x)^2*x^3+7*f(x)^2*x^2-f(x)^2*x-5*f(x)*x^2+6*f(x)*x-f(x)+1 ogf] A129166 3.01508 [f(x)^2*x^4-3*f(x)^2*x^3+f(x)*x^4+4*f(x)^2*x^2-2*f(x)*x^3-x^4-3*f(x)^2*x+3*f(x)*x^2+5*x^3-4*f(x)*x-9*x^2+2*f(x)+7*x-2 ogf] A129167 4.60700 [{(5*n+15)*a(n+1)+(-16*n-52)*a(n+2)+(13*n+49)*a(n+3)+(-2*n-10)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=9} ogf] A129167 8.19475 [f(x)^2*x^3-3*f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A129169 4.88149 [-f(x)^2*x^3+2*f(x)^2*x^2+2*f(x)*x^3-4*f(x)*x^2-x^3+5*f(x)*x+2*x^2-f(x) ogf] A129169 6.03829 [-(5*x-4+2*x*(x-1)^(1/2)*(5*x-1)^(1/2)-4*(x-1)^(1/2)*(5*x-1)^(1/2))/(5*x-1)^(1/2)/(x-1)^(1/2)/(x-2)/x lgdogf] A129171 3.68238 [{25*a(n)*n+(-35*n-20)*a(n+1)+(11*n+14)*a(n+2)+(-n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A129171 4.16691 [-25*f(x)^2*x^3+35*f(x)^2*x^2-15*f(x)*x^3-11*f(x)^2*x+18*f(x)*x^2-x^3+f(x)^2-3*f(x)*x+2*x^2 ogf] A129173 3.95653 [25*f(x)^2*x^3-10*f(x)^2*x^2-15*f(x)*x^3+f(x)^2*x-7*f(x)*x^2+x^3+7*f(x)*x+2*x^2-f(x)+x ogf] A129194 11.7407 [-2*(1+9*x+x^5+3*x^4+14*x^3+8*x^2)/(-1+x)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A129194 6.36459 [{(n^2+6*n+9)*a(n+1)+(-n^2-2*n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A129194 9.80895 [-x*(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^3/(x+1)^3 ogf] A129197 5.49388 [-(3+8*x+15*x^6+72*x^5+16*x^7+5*x^4+48*x^3+24*x^9+9*x^8+x^10+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+12*x^4+3*x^3+4*x^2+3*x+12) lgdogf] A129197 9.75081 [-(x^5+12*x^4+3*x^3+4*x^2+3*x+12)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A129203 10.3790 [-(x^5+6*x^4+3*x^3+2*x^2+3*x+6)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A129203 5.78084 [-(3+4*x+9*x^8+15*x^6+36*x^5+8*x^7+5*x^4+24*x^3+12*x^9+x^10+9*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+6*x^4+3*x^3+2*x^2+3*x+6) lgdogf] A129204 5.05052 [(x^2+x+1)*(x^6-x^4+24*x^3-x^2+1)/(x-1)^4/(x+1)^4 ogf] A129204 5.31470 [-(1+8*x+x^8+76*x^6+88*x^5+8*x^7+230*x^4+88*x^3+76*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^6-x^4+24*x^3-x^2+1) lgdogf] A129217 2.96576 [{(n^2+23*n+132)*a(n+1)+(n^2+14*n+24)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=55} ogf] A129218 3.03203 [{(n^2+25*n+156)*a(n+1)+(n^2+15*n+26)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=66} ogf] A129238 3.11487 [{(n^2+27*n+182)*a(n+1)+(n^2+16*n+28)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=78} ogf] A129254 12.6824 [(28*x^2+53*x+27)/(x+1)/(x-1)^2 ogf] A129254 14.4792 [-2*(40+95*x+14*x^3+67*x^2)/(x-1)/(x+1)/(28*x^2+53*x+27) lgdogf] A129254 6.39112 [(6781536*f(x)-13898347)*(f(x)*x^3-f(x)*x^2-f(x)*x-28*x^2+f(x)-53*x-27) ogf] A129254 6.99717 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=27,a(1)=80,a(2)=135} ogf] A129255 3.13144 [{(n^2+29*n+210)*a(n+1)+(n^2+17*n+30)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=91} ogf] A129288 6.58444 [x*(20*x^5+x^4+20*x^3-84*x^2-3*x-36)/(x-1)/(x^6-6*x^3+1) ogf] A129289 7.02431 [x*(28*x^5+17*x^4+28*x^3-124*x^2-51*x-44)/(x-1)/(x^6-6*x^3+1) ogf] A129298 6.34688 [x*(33*x^5+23*x^4+33*x^3-147*x^2-69*x-51)/(x-1)/(x^6-6*x^3+1) ogf] A129323 17.3442 [(-n-2)*a(n+2)+a(n+1),a(0)=2,a(1)=2 lgdegf] A129324 17.0866 [(-n-2)*a(n+2)+a(n+1),a(0)=2,a(1)=2 lgdegf] A129325 16.8290 [(-n-2)*a(n+2)+a(n+1),a(0)=2,a(1)=2 lgdegf] A129326 16.4856 [-(x-3)/(x-1)^2 egf] A129326 38.3940 [-(-5+x)/(x-1)/(x-3) lgdegf] A129326 4.36382 [{(-n^2-4*n-4)*a(n+1)+(-6*n^2-41*n-68)*a(n+2)+(6*n+18)*a(n+3),a(0)=3,a(1)=5,a(2)=14} ogf] A129326 8.62617 [(4*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)+x-3) egf] A129327 15.0619 [(-n-2)*a(n+2)+a(n+1),a(0)=3,a(1)=3 lgdegf] A129328 16.5757 [(-n-2)*a(n+2)+a(n+1),a(0)=3,a(1)=3 lgdegf] A129329 16.4066 [(-n-2)*a(n+2)+a(n+1),a(0)=3,a(1)=3 lgdegf] A129331 16.2269 [(-n-2)*a(n+2)+a(n+1),a(0)=4,a(1)=4 lgdegf] A129332 16.1437 [(-n-2)*a(n+2)+a(n+1),a(0)=4,a(1)=4 lgdegf] A129333 15.0619 [(-n-2)*a(n+2)+a(n+1),a(0)=4,a(1)=4 lgdegf] A129339 10.2868 [(x-1)^3/(2*x-1)/(3*x^2-3*x+1) ogf] A129339 16.5668 [(2-8*x+9*x^2)/(x-1)/(-1+2*x)/(3*x^2-3*x+1) lgdogf] A129339 5.37721 [{-a(n+4)+5*a(n+3)-9*a(n+2)+6*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A129339 5.91493 [(5*f(x)+11)*(6*f(x)*x^3-9*f(x)*x^2-x^3+5*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A129345 10.4726 [-(x^2-3)*(x^4-18*x^2-8*x-3)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3-9*x-2) lgdogf] A129345 13.6048 [-(x^3-9*x-2)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A129345 7.83306 [(2588*f(x)-4259)*(f(x)*x^4-6*f(x)*x^2+x^3+f(x)-9*x-2) ogf] A129346 11.8780 [-(x^3+2*x^2-5*x-4)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A129346 7.21562 [(2588*f(x)-2187)*(f(x)*x^4-6*f(x)*x^2+x^3+2*x^2+f(x)-5*x-4) ogf] A129346 8.10424 [-(5+44*x+4*x^5+x^6-9*x^4-16*x^3+27*x^2)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3+2*x^2-5*x-4) lgdogf] A129361 10.0624 [-(-1-4*x+6*x^5+2*x^7+7*x^4+2*x^3+3*x^8)/(x+1)/(x^2-x+1)/(x^2+x-1)/(x^4+x^2-1) lgdogf] A129361 10.8131 [(x+1)*(x^2-x+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A129362 6.72682 [-(-1-6*x+24*x^8+4*x^3-3*x^2+16*x^4+24*x^5+8*x^7)/(2*x-1)/(x+1)/(2*x^2-1)/(2*x^3+1)/(x^2+1) lgdogf] A129362 8.47970 [(2*x^3+1)/(x+1)/(2*x-1)/(x^2+1)/(2*x^2-1) ogf] A129366 5.61726 [x*(-7*x^8-6*x^6+5*x^4+2*x^10+5*x^2+1+x^12)/(x^6-x^4-2*x^3-3*x^2-x-1)/(x^7+x^6+3*x^5-3*x^4+x^3-4*x^2-1) revogf] A129370 10.7219 [-4*(1+4*x+3*x^4+5*x^3+8*x^2)/(x-1)/(x+1)/(4*x^3+5*x^2+4*x+1) lgdogf] A129370 8.50214 [-x*(4*x^3+5*x^2+4*x+1)/(x-1)^3/(x+1)^3 ogf] A129371 10.8286 [-(5+21*x+29*x^3+16*x^4+41*x^2)/(x-1)/(1+x)/(4*x^3+5*x^2+4*x+1) lgdogf] A129371 6.49946 [x*(4*x^3+5*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A129393 12.8934 [-(-5+10*x+3*x^2-56*x^3+16*x^4)/(x-1)/(4*x^2+3*x+1)/(4*x^2-7*x-1) lgdogf] A129393 12.8970 [(4*x^2-7*x-1)/(x-1)/(4*x^2+3*x+1) ogf] A129393 6.901 [(77*f(x)-152)*(4*f(x)*x^3-f(x)*x^2-2*f(x)*x-4*x^2-f(x)+7*x+1) ogf] A129393 6.96208 [{a(n+3)+2*a(n+2)+a(n+1)-4*a(n),a(0)=1,a(1)=5,a(2)=-15} ogf] A129395 10.1497 [-(7+10*x-204*x^5+32*x^6-96*x^2-38*x^3+33*x^4)/(x-1)/(4*x^2+3*x+1)/(4*x^4-17*x^3-x-2) lgdogf] A129395 8.07517 [-2*x*(4*x^4-17*x^3-x-2)/(x-1)^2/(4*x^2+3*x+1)^2 ogf] A129397 7.26885 [(x+1)*(8*x^4-6*x^3+x^2+12*x+1)/(x-1)^2/(4*x^2+3*x+1)^2 ogf] A129397 8.41199 [-(9+32*x^7-4*x-12*x^5+24*x^6-30*x^2+232*x^3+261*x^4)/(x-1)/(x+1)/(3*x+1+4*x^2)/(8*x^4-6*x^3+x^2+12*x+1) lgdogf] A129400 3.77793 [{(-12*n-24)*a(n+1)+(-4*n-14)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A129400 37.7107 [x/(1+2*x+4*x^2) revogf] A129400 9.79703 [4*f(x)^2*x^2+2*f(x)*x-f(x)+1 ogf] A129428 13.0574 [-(x^2+45*x+1)/(x-1)^3 ogf] A129428 24.0819 [-(48+92*x+x^2)/(x-1)/(x^2+45*x+1) lgdogf] A129428 6.91931 [(117*f(x)-3197)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+45*x+1) ogf] A129428 7.03963 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=48,a(2)=142} ogf] A129441 7.69942 [-(1+2*x-2*x^4+6*x^3+3*x^8+4*x^7-x^6-8*x^5+10*x^2)/(x^2+x+1)/(x^4-x^3-x^2-2*x+1)/(x^3+x^2-1) lgdogf] A129441 8.81793 [-(x^3+x^2-1)/(x^2+x+1)/(x^4-x^3-x^2-2*x+1) ogf] A129442 3.18606 [{(64*n^2+256*n+252)*a(n+1)+(-28*n^2-154*n-210)*a(n+2)+(3*n^2+21*n+36)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A129442 32.2259 [-x*(x-1)*(1-x+x^2) revogf] A129443 5.73800 [-(1+4*x+1280*x^7+1536*x^8-448*x^5+128*x^6+48*x^3-128*x^4+52*x^2)/(-1+4*x)/(4*x^2+2*x+1)/(4*x^3-x-1)/(8*x^3+4*x^2-1) lgdogf] A129443 7.31246 [-(8*x^3+4*x^2-1)/(4*x-1)/(4*x^2+2*x+1)/(4*x^3-x-1) ogf] A129444 7.24360 [x*(x^3+5*x^2-x-1)/(x-1)/(x^4-10*x^2+1) ogf] A129444 7.72953 [-2*(-1-5*x-7*x^5+x^7+7*x^6-31*x^4+11*x^3+9*x^2)/(x-1)/(x^3+5*x^2-x-1)/(x^4-10*x^2+1) lgdogf] A129445 10.5129 [-(2+16*x+4*x^4-4*x^3+x^6+4*x^5+17*x^2)/(x-1)/(x^2+3*x+1)/(x^4-10*x^2+1) lgdogf] A129445 11.5112 [-(x-1)*(x^2+3*x+1)/(x^4-10*x^2+1) ogf] A129445 6.72339 [-(23760*f(x)-1973)*(f(x)*x^4-10*f(x)*x^2+x^3+2*x^2+f(x)-2*x-1) ogf] A129447 5.17486 [-(-2*x^7+x^6+x^5-x^4+x^2-3*x+1)/(x^8-x^7+x^6+x^2-x+1) ogf_with_Euler_transform] A129449 6.92192 [-(-2*x^11-x^10-2*x^8-x^7-x^6-x^4-x^3-2*x^2-1)/(x^12-1) ogf_with_Euler_transform] A129449 99.9999 Evaluated at exp(-Pi) 1/12*exp(1/2*Pi)*Pi*3^(1/2)*GAMMA(11/12)/GAMMA(2/3)/GAMMA(3/4)^3*2^(1/2)*(3^(1/2)-1) A129451 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/6*Pi)*GAMMA(2/3)*GAMMA(7/12)*2^(1/2)*(1+3^(1/2))/GAMMA(3/4)^3 A129452 6.18208 [-(27*x^3+9*x^2-1)/(81*x^4-9*x^3-9*x^2-4*x+1)/(9*x^2+3*x+1) ogf] A129458 4.63251 [{(n^3+n^2)*a(n)+(-2*n^2-4*n-3)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} egf] A129464 3.85682 [{(2*n^3+4*n^2)*a(n)+(-n^3-6*n^2-13*n-6)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=-2} ogf] A129507 10.4271 [-4*f(x)*x^2+16*x^3+f(x)^2-4*f(x)*x-4*f(x) ogf] A129509 14.3201 [-f(x)*x^2+x^3+f(x)^2-f(x)*x-f(x) ogf] A129509 23.1971 [-1/2*(-(x-1)^(1/2)+(4*x^2+x-1)^(1/2))/(x-1)^(1/2)/x revogf] A129530 13.1855 [-3*x^2/(3*x-1)^3 ogf] A129530 5.53321 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A129530 61.3364 [-9/(3*x-1) lgdogf] A129530 7.46651 [27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x+3*x^2-f(x) ogf] A129532 12.5574 [-6*x^2/(4*x-1)^3 ogf] A129532 49.7142 [-12/(-1+4*x) lgdogf] A129532 5.33410 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=0,a(1)=0,a(2)=6} ogf] A129532 7.17563 [64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+6*x^2-f(x) ogf] A129544 6.92930 [x*(65*x^5+7*x^4+65*x^3-275*x^2-21*x-115)/(x-1)/(x^6-6*x^3+1) ogf] A129548 11.4416 [-(1+14*x+8*x^5-7*x^4+22*x^3-10*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A129548 5.54526 [-(x^2+1)*(x^2-x+1)/(x+1)^5/(x-1)^7 ogf] A129556 6.84381 [-(-21-148*x+2*x^7-493*x^2+1450*x^3-67*x^4-80*x^5+5*x^6)/(x-1)/(x^2-6*x-1)/(x^2+6*x-1)/(x^3+2*x^2-19*x-2) lgdogf] A129556 7.83873 [x*(x^3+2*x^2-19*x-2)/(x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A129557 10.1630 [-(x-1)*(x^2+5*x+1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A129557 5.98889 [(1558440*f(x)-33247)*(f(x)*x^4-38*f(x)*x^2+x^3+4*x^2+f(x)-4*x-1) ogf] A129557 7.24002 [-(4+68*x+26*x^4-4*x^3+x^6+8*x^5+149*x^2)/(x-1)/(x^2+5*x+1)/(x^2+6*x-1)/(x^2-6*x-1) lgdogf] A129576 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^3*GAMMA(11/12)*2^(1/2)*(3^(1/2)-1) A129588 29.9708 [-4/(-x-1) ogf_with_Euler_transform] A129588 99.9999 Evaluated at exp(-Pi) 2*exp(1/2*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A129589 6.32056 [(33*f(x)+1)*(f(x)*x^4-4*f(x)*x^2+x^3+4*f(x)*x+x^2-f(x)-x+1) ogf] A129613 2.29053 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A129617 11.3254 [-x*(x+1)/(14*x^3+16*x^2-1) ogf] A129617 13.0503 [-(1+32*x+58*x^2+28*x^3)/(x+1)/(14*x^3+16*x^2-1) lgdogf] A129617 6.55682 [{a(n+3)-16*a(n+1)-14*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A129617 6.55683 [-(f(x)+1)*(14*f(x)*x^3+16*f(x)*x^2+x^2-f(x)+x) ogf] A129625 6.17339 [x*(57*x^5+119*x^4+57*x^3-267*x^2-357*x-75)/(x-1)/(x^6-6*x^3+1) ogf] A129626 6.59355 [x*(60*x^5+161*x^4+60*x^3-284*x^2-483*x-76)/(x-1)/(x^6-6*x^3+1) ogf] A129637 20.1203 [x*(1+2*x)/(1+5*x+8*x^2) revogf] A129637 6.16812 [8*f(x)^2*x^2-2*f(x)^2*x+5*f(x)*x-f(x)+1 ogf] A129638 6.11619 [-(6*x^5+21*x^4-24*x^3-36*x^2+10*x+11)/(x^6+3*x^5-6*x^4-4*x^3+5*x^2+x-1) ogf] A129639 10.4535 [-2*(7*x^3+4*x^2-11*x-6)/(2*x^4-4*x^2+1) ogf] A129639 6.70599 [(16*f(x)-53)*(2*f(x)*x^4-4*f(x)*x^2+14*x^3+8*x^2+f(x)-22*x-12) ogf] A129639 8.50122 [-(11+40*x+16*x^5-38*x^4-48*x^3+14*x^6+23*x^2)/(7*x^3+4*x^2-11*x-6)/(2*x^4-4*x^2+1) lgdogf] A129640 6.51170 [x*(105*x^5+103*x^4+105*x^3-475*x^2-309*x-155)/(x-1)/(x^6-6*x^3+1) ogf] A129641 6.56984 [x*(136*x^5+137*x^4+136*x^3-616*x^2-411*x-200)/(x-1)/(x^6-6*x^3+1) ogf] A129642 5.91753 [x*(204*x^5+49*x^4+204*x^3-876*x^2-147*x-348)/(x-1)/(x^6-6*x^3+1) ogf] A129647 8.70693 [x*(4*x^6-8*x^5+5*x^4-2*x^3-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A129647 9.04772 [-2*(-1-x+x^7+7*x^5-2*x^6+5*x^3-17*x^4-4*x^2)/(x-1)/(x+1)/(x^2+1)/(4*x^6-8*x^5+5*x^4-2*x^3-1) lgdogf] A129655 4.02142 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A129682 10.5275 [-(x^3+x-1)/(x-1)/(x^5+2*x^3+x^2+x-1) ogf] A129682 7.58475 [-(x+1)*(x^9-3*x^8+8*x^7-10*x^6+13*x^5-11*x^4+5*x^3-x^2-2*x+2)/(x-1)/(x^5-x^4+2*x^3-1)/(x^5+2*x^3+x^2+x-1) lgdogf] A129683 11.8294 [-212+212*x+(25-184*x+212*x^2)*f(x)+(28*x^2+7-28*x)*f(x)^2 lgdegf] A129683 4.69901 [{(-4*n^2-16*n-16)*a(n+1)+(4*n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=28} ogf] A129696 16.2453 [-1/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A129696 16.6675 [-(-2-4*x+5*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A129703 3.32964 [3*f(x)^2*x^4-7*f(x)^2*x^3+6*f(x)*x^4+5*f(x)^2*x^2-5*f(x)*x^3+3*x^4-f(x)^2*x-5*f(x)*x^2+2*x^3+5*f(x)*x-3*x^2-f(x)-x+1 ogf] A129704 10.7557 [1/(x^5-2*x^4+x^3-2*x^2+x-1) ogf] A129704 12.8449 [-(1-4*x+5*x^4-8*x^3+3*x^2)/(-2*x^2-1+x-2*x^4+x^3+x^5) lgdogf] A129707 10.3882 [-x^2*(x+1)/(x^2+x-1)^3 ogf] A129707 23.6597 [-(4+8*x+5*x^2)/(x+1)/(x^2+x-1) lgdogf] A129715 17.2018 [-(-5-7*x+x^4+x^3)/(x^2+x-1)/(x^3+x^2-x-2) lgdogf] A129715 4.90309 [-(12*f(x)+7)*(f(x)*x^4+2*f(x)*x^3+x^4-f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-2*x) ogf] A129715 8.83767 [-x*(x^3+x^2-x-2)/(x^2+x-1)^2 ogf] A129720 12.8623 [-(1+7*x-x^4-9*x^3+4*x^5)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A129720 9.02516 [x*(x-1)*(x+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A129722 10.3351 [-x^2/(x^2-x-1)/(x^2+x-1)^2 ogf] A129722 18.1014 [-(-1-9*x+6*x^3-x^2)/(x^2+x-1)/(x^2-x-1) lgdogf] A129725 6.77308 [x*(84*x^5+353*x^4+84*x^3-404*x^2-1059*x-100)/(x-1)/(x^6-6*x^3+1) ogf] A129728 10.2650 [(2*x^3+x^2-1)/(x^2+x-1)/(x-1)^2 ogf] A129728 11.8515 [-(3-3*x+2*x^5-9*x^2+7*x^3+4*x^4)/(x-1)/(x^2+x-1)/(2*x^3+x^2-1) lgdogf] A129728 4.23358 [{a(n)*n+a(n+1)+(-2*n+1)*a(n+2)+(n-1)*a(n+3),a(0)=1,a(1)=3,a(2)=6,a(3)=9,a(4)=13} ogf] A129728 5.63416 [(4*f(x)-1)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x-x^2-f(x)+1) ogf] A129743 11.6546 [-2*(x+1)/(x-1)/(x^2-4*x+1) ogf] A129743 14.4083 [-2*(3-5*x-x^2+x^3)/(x-1)/(x+1)/(1-4*x+x^2) lgdogf] A129743 5.41835 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=2,a(1)=12,a(2)=50} ogf] A129743 5.6669 [(3417*f(x)-1297)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)+2*x+2) ogf] A129744 10.2529 [2*(x^2+1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A129744 10.3668 [-2*(-1-3*x+x^4+2*x^3+x^5+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+2*x-1) lgdogf] A129744 5.01083 [-(167*f(x)+127)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)-2) ogf] A129756 14.9410 [-(1+x+x^2+9*x^3+x^4+x^5+x^6+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A129756 16.0313 [(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A129756 31.4134 [-x^7+2*x^3+1 ogf_with_Euler_transform] A129756 8.8717 [-f(x)*(f(x)*x^5-f(x)*x^4-x^4-f(x)*x+f(x)-1) ogf] A129762 5.09216 [-(x^5-7*x^3+13*x^2+4*x+1)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+4*x-1) ogf] A129770 5.30550 [-x*(x^2+1)*(4*x^10-4*x^8+10*x^6-x^4-4*x^2+1)/(3*x-1)/(3*x^2-1)/(3*x^4-1) ogf] A129775 5.71111 [-f(x)^2*x^3+4*f(x)^2*x^2-5*f(x)^2*x-4*f(x)*x^2+f(x)^2+9*f(x)*x-2*f(x)-4*x+1 ogf] A129776 6.60425 [-(3*x^5+x^4-5*x^3+7*x^2-5*x+1)/(3*x^6-4*x^5-8*x^4+14*x^3-15*x^2+7*x-1) ogf] A129777 6.19618 [-(x-1)*(x^5+3*x^4+x^3+3*x-1)/(x^7-x^6-8*x^5+x^4+3*x^3-9*x^2+6*x-1) ogf] A129779 3.23525 [{(2*n^2+n)*a(n+1)+(-2*n^2-8*n-9)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=-1,a(2)=2} ogf] A129779 7.82254 [-f(x)^2+2*f(x)*x-x^2+6*f(x)+2*x-5 egf] A129779 9.29022 [-(1+x-2*x^2+2*((1+2*x)*(x-2)^2)^(1/2))/(1+2*x)/(x^2-2*x+5) lgdegf] A129803 4.98033 [-(1702933*f(x)+114309)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)-14*x+10) ogf] A129803 5.39536 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=10,a(1)=136,a(2)=1891} ogf] A129803 7.66794 [-(136-298*x-28*x^3+225*x^2+x^4)/(x-1)/(x^2-14*x+1)/(x^2-14*x+10) lgdogf] A129803 9.96066 [-(x^2-14*x+10)/(x-1)/(x^2-14*x+1) ogf] A129819 11.6583 [-(1+5*x+6*x^5+4*x^4+11*x^3+4*x^6+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+1) lgdogf] A129819 8.27620 [-x^2*(x^3+x^2+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A129831 3.81436 [{(-n-5)*a(n+1)+(-n-5)*a(n+2)+a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A129836 5.95290 [x*(13*x^5+71*x^4+13*x^3-63*x^2-213*x-15)/(x-1)/(x^6-6*x^3+1) ogf] A129839 6.21829 [-x^3*(36*x^3+36*x^2-11*x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1) ogf] A129847 17.4751 [-1/(x^4+2*x^3+x^2+x-1) ogf] A129847 6.39332 [-(71*f(x)-22)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A129847 8.64472 [-(2+6*x+x^6+4*x^5+6*x^3+6*x^4+8*x^2)/(x^3+2*x^2+x+1)/(x^4+2*x^3+x^2+x-1) lgdogf] A129857 5.66997 [x*(185*x^5+487*x^4+185*x^3-875*x^2-1461*x-235)/(x-1)/(x^6-6*x^3+1) ogf] A129863 14.3070 [-3*(x^2+2)/(x-1)^3 ogf] A129863 30.7764 [-(6+2*x+x^2)/(x-1)/(x^2+2) lgdogf] A129863 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=18,a(2)=39} ogf] A129863 7.34685 [(333*f(x)-913)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+6) ogf] A129867 3.26319 [{(-n-4)*a(n+1)+(2*n+9)*a(n+2)+(-n-6)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A129868 10.0336 [-(-27+140*x-232*x^2+128*x^3)/(8*x-5)/(x-1)/(-1+2*x)/(-1+4*x) lgdogf] A129868 12.5980 [x*(8*x-5)/(x-1)/(2*x-1)/(4*x-1) ogf] A129868 6.40952 [-(27*f(x)+25)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-8*x^2-f(x)+5*x) ogf] A129868 6.46625 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=0,a(1)=5,a(2)=27} ogf] A129869 3.31788 [{(-20*n^2-10*n)*a(n)+(69*n^2+229*n+180)*a(n+1)+(-24*n^2-116*n-132)*a(n+2)+(2*n^2+14*n+24)*a(n+3),a(0)=-1,a(1)=1,a(2)=5} ogf] A129869 6.6972 [-4*f(x)^2*x^2+f(x)^2*x-4*f(x)*x^2-7*f(x)*x-x^2+2*f(x)-10*x+2 ogf] A129889 12.2685 [x^2*(x^2-2*x-1)/(x-1)^3/(x+1)^3 ogf] A129889 18.8764 [-2*(-1-2*x+2*x^3-5*x^2)/(x-1)/(x+1)/(x^2-2*x-1) lgdogf] A129889 4.22452 [{(-9-3*n)*a(n+1)+(-2*n^2-13*n-14)*a(n+2)+(5+3*n)*a(n+3)+(2*n^2+5*n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A129890 13.8879 [-(6*x+13+2*(1-2*x)^(1/2))/(2*x+3)/(2*x-1) lgdegf] A129890 3.7725 [16*f(x)^2*x^4-32*f(x)^2*x^3+24*f(x)^2*x^2-8*f(x)^2*x-16*f(x)*x^2+f(x)^2+16*f(x)*x-4*f(x)+2*x+3 egf] A129890 3.97921 [{(-4*n^2-22*n-30)*a(n+1)+(4*n+13)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=33} ogf] A129890 9.33447 [2*x*(4*x+1+3*(1+4*x)^(1/2))/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2))^3 revegf] A129891 11.6530 [-(x^3-x+1)/(x^4-2*x^2+3*x-1) ogf] A129891 12.4482 [-(2-4*x-x^4-2*x^3+x^6+5*x^2)/(x^3-x+1)/(x^4-2*x^2+3*x-1) lgdogf] A129891 7.98691 [f(x)*x^4-2*f(x)*x^2+x^3+3*f(x)*x-f(x)-x+1 ogf] A129895 7.64519 [-(x^7-x^6-x^5+x^4+x^3-x^2+1)/(x+1)/(x^4+1)/(x-1)^3 ogf] A129895 9.41698 [-(2+2*x+x^2+2*x^5+3*x^6+3*x^8-2*x^10+x^12)/(x-1)/(x+1)/(x^7-x^6-x^5+x^4+x^3-x^2+1)/(x^4+1) lgdogf] A129903 21.0220 [1/(x^4-x^3+x^2+1) ogf] A129903 33.0026 [-x*(2+4*x^2-3*x)/(1+x^2-x^3+x^4) lgdogf] A129903 7.69097 [{-a(n+4)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-1,a(3)=1} ogf] A129903 9.18436 [-(3*f(x)-2)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+f(x)-1) ogf] A129905 11.0345 [-(2*x+1)*(x-1)/(x+1)/(x^2-3*x+1) ogf] A129905 12.2181 [-(3+2*x^4-2*x^3+3*x^2)/(x-1)/(1+2*x)/(x+1)/(x^2-3*x+1) lgdogf] A129905 5.70428 [-(157*f(x)-67)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-1) ogf] A129905 6.00986 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A129920 7.82500 [-1/(x^6-2*x^5+x^4-2*x^3+3*x^2-x+1) ogf] A129920 7.85655 [-(-1+6*x+6*x^5-10*x^4+4*x^3-6*x^2)/(3*x^2+1-x+x^4-2*x^3+x^6-2*x^5) lgdogf] A129923 11.9768 [(-6+(7776+1620*x)^(1/5))/(7776+1620*x)^(1/5) revegf] A129923 5.91549 [{(-n-7)*a(n+1)+a(n+2),a(0)=24,a(1)=144} ogf] A129923 65.8721 [-6/(x-1) lgdegf] A129923 7.80159 [24/(x-1)^6 egf] A129929 7.13429 [-(-2+10*x-10*x^6+19*x^5-21*x^2+25*x^3-25*x^4+2*x^7)/(x-1)/(2*x-1)/(x^2-x+1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A129929 7.58191 [-(x^2-x+1)*(x-1)^2/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A129936 10.7504 [(x^3-4*x^2+6*x-2)/(x-1)^4 ogf] A129936 18.3096 [-(-2+10*x+x^3-5*x^2)/(-1+x)/(x^3-4*x^2+6*x-2) lgdogf] A129936 4.65046 [{(-3*n^2-21*n-30)*a(n+1)+(4*n^2+22*n+30)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=-2,a(1)=-2,a(2)=0} ogf] A129936 5.95526 [(68*f(x)+25)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+4*x^2+f(x)-6*x+2) ogf] A129938 4.74871 [(44*x^8+47*x^7+44*x^6+45*x^5+18*x^4+2*x^3+13*x^2-3*x-6)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A129939 6.14105 [-(-21+36*x+107*x^6-12*x^5+30*x^2-64*x^3-146*x^4+18*x^8+70*x^7)/(18*x^4+35*x^3+30*x^2-9*x-12)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A129939 8.28876 [(18*x^4+35*x^3+30*x^2-9*x-12)/(x^5+x^4+x^3+x^2+x-1) ogf] A129952 10.8727 [(2*x^3+2*x^2-3*x+1)/(2*x-1)^2 ogf] A129952 13.5339 [(-1+2*x-6*x^2+4*x^3)/(2*x-1)/(2*x^3+2*x^2-3*x+1) lgdogf] A129952 5.81784 [{-a(n+4)+4*a(n+3)-4*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A129952 6.31651 [-(f(x)-1)*(4*f(x)*x^2-2*x^3-4*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A129953 13.6048 [-x*(2*x^2-1)/(2*x-1)^2 ogf] A129953 24.3123 [-4*(x-1)/(-1+2*x)/(2*x^2-1) lgdogf] A129953 5.84768 [{-a(n+4)+4*a(n+3)-4*a(n+2),a(0)=0,a(1)=1,a(2)=4,a(3)=10} ogf] A129953 7.40705 [(7*f(x)+34)*(4*f(x)*x^2+2*x^3-4*f(x)*x+f(x)-x) ogf] A129954 11.0400 [(x-1)*(2*x^2-1)/(2*x-1)^2 ogf] A129954 14.6630 [(-3+6*x-6*x^2+4*x^3)/(x-1)/(-1+2*x)/(2*x^2-1) lgdogf] A129954 5.85598 [{-a(n+4)+4*a(n+3)-4*a(n+2),a(0)=1,a(1)=3,a(2)=6,a(3)=14} ogf] A129954 8.52452 [4*f(x)*x^2-2*x^3-4*f(x)*x+2*x^2+f(x)+x-1 ogf] A129955 11.0400 [-(2*x^3-4*x^2+5*x-2)/(2*x-1)^2 ogf] A129955 14.3442 [(2*x-3)*(2*x^2-1)/(-1+2*x)/(2*x^3-4*x^2+5*x-2) lgdogf] A129955 5.85598 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=2,a(1)=3,a(2)=8,a(3)=18} ogf] A129955 6.35318 [-(4*f(x)+27)*(4*f(x)*x^2+2*x^3-4*f(x)*x-4*x^2+f(x)+5*x-2) ogf] A129957 10.4870 [-(1+15*x+11*x^4+40*x^3+x^5+28*x^2)/(x-1)/(x+1)/(x^4+4*x^3+8*x^2-2*x+1) lgdogf] A129957 8.05208 [(x^4+4*x^3+8*x^2-2*x+1)/(x+1)/(x-1)^4 ogf] A129958 10.3409 [-2*x*(x^2+x+4)/(x+1)/(x-1)^3 ogf] A129958 15.7385 [-(2*x+1)*(x^2+2*x+9)/(x-1)/(x+1)/(x^2+x+4) lgdogf] A129958 5.50948 [(3188*f(x)-24385)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+2*x^2-f(x)+8*x) ogf] A129959 10.2374 [-(1+13*x+14*x^4+41*x^3+2*x^5+25*x^2)/(x-1)/(x+1)/(2*x^4+4*x^3+7*x^2-2*x+1) lgdogf] A129959 8.30562 [(2*x^4+4*x^3+7*x^2-2*x+1)/(x+1)/(x-1)^4 ogf] A129961 7.39367 [-(x-1)^4/(2*x-1)/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A129961 8.80766 [-2*(-1+5*x-10*x^4+12*x^3+2*x^5-10*x^2)/(x-1)/(-1+2*x)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A129966 4.87006 [-x*(x^2+1)*(x^8+2*x^7+11*x^6+4*x^5-4*x^4+4*x^3+11*x^2+2*x+1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A129973 13.8248 [x^3/(x^2+x-1)/(x^3+x^2-1) ogf] A129973 16.5693 [-(5*x^2-2*x-1)*(x+1)^2/(x^2+x-1)/(x^3+x^2-1) lgdogf] A129973 5.8617 [(5*f(x)^2+1)*(f(x)*x^5+2*f(x)*x^4-2*f(x)*x^2-x^3-f(x)*x+f(x)) ogf] A129974 5.69789 [x*(385*x^5+167*x^4+385*x^3-1683*x^2-501*x-627)/(x-1)/(x^6-6*x^3+1) ogf] A129975 5.69789 [x*(116*x^5+721*x^4+116*x^3-564*x^2-2163*x-132)/(x-1)/(x^6-6*x^3+1) ogf] A129981 4.07961 [{(n+4)*a(n+1)+(-n-4)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A129982 11.3847 [-(x^5+x^4-x^3+x^2-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A129982 8.64099 [-x*(2+3*x-7*x^3-4*x^2-2*x^4+6*x^5+4*x^6-3*x^7+2*x^8+x^9)/(x-1)/(x+1)/(x^4+x^2-1)/(x^5+x^4-x^3+x^2-1) lgdogf] A129983 5.42509 [(1-8*x+15*x^6-64*x^5+88*x^4-64*x^3+5*x^8+29*x^2)/(2*x-1)/(x^4+2*x^3-5*x^2+4*x-1)/(x^5-x^4-6*x^3+9*x^2-5*x+1) lgdogf] A129983 5.81921 [(x^5-x^4-6*x^3+9*x^2-5*x+1)/(2*x-1)/(x^4+2*x^3-5*x^2+4*x-1) ogf] A129987 8.42843 [-(x^5+2*x^3-5*x^2+4*x-1)/(2*x-1)/(x^4+2*x^3-5*x^2+4*x-1) ogf] A129988 6.93466 [(x^5-3*x^4-x^3+5*x^2-4*x+1)/(2*x-1)/(x^4+2*x^3-5*x^2+4*x-1) ogf] A129991 6.92823 [x*(21*x^5+199*x^4+21*x^3-103*x^2-597*x-23)/(x-1)/(x^6-6*x^3+1) ogf] A129992 6.86798 [x*(15*x^5+97*x^4+15*x^3-73*x^2-291*x-17)/(x-1)/(x^6-6*x^3+1) ogf] A129993 6.13862 [x*(19*x^5+161*x^4+19*x^3-93*x^2-483*x-21)/(x-1)/(x^6-6*x^3+1) ogf] A129995 3.34830 [-(25*x^9+1595*x^8+16490*x^7+51511*x^6+55969*x^5+22480*x^4+2970*x^3+165*x^2-6*x+1)/(x-1)^11 ogf] A129996 6.86562 [-f(x)^2*x^4-2*f(x)*x^3+2*f(x)*x^2-f(x)*x-x^2+f(x)+2*x-1 ogf] A129997 5.11862 [{(-n+2)*a(n+1)+a(n+3)-4*a(n+2),a(0)=0,a(1)=1,a(2)=4} ogf] A129999 5.90442 [x*(25*x^5+287*x^4+25*x^3-123*x^2-861*x-27)/(x-1)/(x^6-6*x^3+1) ogf] A130002 7.18549 [-(2*x^6+6*x^5-3*x^4-5*x^3+3*x-1)/(x-1)^2/(2*x-1)^2/(x+1)^2 ogf] A130002 7.69232 [-(1-2*x+10*x^6-6*x^5-37*x^4+32*x^3+16*x^7-6*x^2)/(x-1)/(2*x-1)/(x+1)/(2*x^6+6*x^5-3*x^4-5*x^3+3*x-1) lgdogf] A130004 6.74325 [x*(29*x^5+391*x^4+29*x^3-143*x^2-1173*x-31)/(x-1)/(x^6-6*x^3+1) ogf] A130005 6.05591 [x*(33*x^5+511*x^4+33*x^3-163*x^2-1533*x-35)/(x-1)/(x^6-6*x^3+1) ogf] A130013 6.05591 [x*(35*x^5+577*x^4+35*x^3-173*x^2-1731*x-37)/(x-1)/(x^6-6*x^3+1) ogf] A130014 5.81788 [x*(41*x^5+799*x^4+41*x^3-203*x^2-2397*x-43)/(x-1)/(x^6-6*x^3+1) ogf] A130017 5.84653 [x*(43*x^5+881*x^4+43*x^3-213*x^2-2643*x-45)/(x-1)/(x^6-6*x^3+1) ogf] A130019 3.92352 [{(2*n-2)*a(n+1)+(-n+9)*a(n+2)+a(n+4)-6*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A130031 6.56355 [{(n^2+3*n+1)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A130032 6.95495 [{(n^2+3*n+3)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A130072 5.06545 [{-a(n+3)+10*a(n+2)-31*a(n+1)+30*a(n),a(0)=0,a(1)=12,a(2)=90} ogf] A130072 6.16287 [-(5*f(x)+8)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x-30*x^2-f(x)+12*x) ogf] A130072 9.32998 [-(-15+124*x-335*x^2+300*x^3)/(-1+3*x)/(2*x-1)/(-2+5*x)/(5*x-1) lgdogf] A130072 9.47729 [6*x*(5*x-2)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A130102 7.84771 [2*x*(-2-32*x^4+8*x^5+50*x^3-33*x^2+11*x)/(x-1)/(2*x-1)/(4*x^5-10*x^4+8*x^3-7*x^2+4*x-1) lgdogf] A130102 8.05986 [(4*x^5-10*x^4+8*x^3-7*x^2+4*x-1)/(2*x-1)/(x-1)^2 ogf] A130103 14.6004 [(-1-x+4*x^2)/(x-1)/(-1+2*x)/(2*x^3-5*x^2+3*x-1) lgdogf] A130103 4.83760 [{a(n+5)-4*a(n+4)+5*a(n+3)-2*a(n+2),a(0)=0,a(1)=1,a(2)=1,a(3)=4,a(4)=11} ogf] A130103 5.31766 [-(250*f(x)-917)*(2*f(x)*x^3-2*x^4-5*f(x)*x^2+5*x^3+4*f(x)*x-3*x^2-f(x)+x) ogf] A130103 9.54266 [x*(2*x^3-5*x^2+3*x-1)/(2*x-1)/(x-1)^2 ogf] A130104 10.2036 [-(2-4*x-12*x^3+4*x^4+7*x^2)/(x-1)/(2*x-1)/(2*x^3-5*x^2+3*x-1) lgdogf] A130104 4.36292 [(143*f(x)+333)*(2*f(x)*x^4-7*f(x)*x^3+2*x^4+9*f(x)*x^2-5*x^3-5*f(x)*x+3*x^2+f(x)-x) ogf] A130104 7.81016 [-x*(2*x^3-5*x^2+3*x-1)/(2*x-1)/(x-1)^3 ogf] A130129 15.9386 [(4*x+1)/(2*x-1)^2 ogf] A130129 20.6990 [-1/8*(-1-4*x+(1+24*x)^(1/2))/(x-1) revogf] A130129 29.3236 [-8*(x+1)/(4*x+1)/(2*x-1) lgdogf] A130129 8.15039 [(33*f(x)+223)*(4*f(x)*x^2-4*f(x)*x+f(x)-4*x-1) ogf] A130129 8.74677 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=8} ogf] A130130 10.9376 [{-a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=2} ogf] A130130 13.5496 [-f(x)*(f(x)*x+x^2-f(x)+x) ogf] A130130 22.1420 [-x*(x+1)/(x-1) ogf] A130130 27.9397 [-1/2-1/2*x+1/2*(1+6*x+x^2)^(1/2) revogf] A130130 43.1330 [[2-x] ogf_with_Euler_transform] A130130 63.8621 [-2/(x-1)/(x+1) lgdogf] A130137 11.1736 [-(x^3+x+1)/(x^4-x^3+x^2+x-1) ogf] A130137 15.1244 [-(2+2*x+x^6+2*x^4+x^2)/(x^3+x+1)/(x^4-x^3+x^2+x-1) lgdogf] A130137 5.79681 [-(5*f(x)+1)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+x^3+f(x)*x-f(x)+x+1) ogf] A130145 13.3478 [2*x^2+x+3 ogf_with_Euler_transform] A130145 3.88485 [1/(x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A130145 7.22460 [-(3+8*x+11*x^3+14*x^2)/(-1+x)/(x+1)/(x^2+x+1) lgdogf] A130151 12.5970 [{a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A130151 12.7649 [(f(x)-3)*(f(x)*x^3-x^2+f(x)-x-1) ogf] A130151 19.5381 [(x^2+x+1)/(x+1)/(x^2-x+1) ogf] A130151 23.0342 [-(-1-2*x+3*x^2+2*x^3+x^4)/(x+1)/(1+x+x^2)/(x^2-x+1) lgdogf] A130151 32.9424 [x^5-2*x^2+1 ogf_with_Euler_transform] A130165 10.1278 [(74*f(x)+1983)*(f(x)*x^4+10*x^4+5*x^3+3*x^2-f(x)+2*x+1) ogf] A130165 10.9666 [-(2+6*x+5*x^6+6*x^4+44*x^3+6*x^5+15*x^2)/(x-1)/(x+1)/(1+x^2)/(10*x^4+5*x^3+3*x^2+2*x+1) lgdogf] A130165 14.7313 [-(10*x^4+5*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A130175 10.3778 [(x+1)*(x^4-x^3+x^2-x+1)*(x^20-x^15+2*x^11+x^10-2*x^6-x^5+2*x^4+2*x+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A130183 4.37409 [{(n^3+n^2-2*n)*a(n)+(-2*n^2-4*n-1)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=-1} egf] A130195 24.2400 [[2*x^3-4*x+3] ogf_with_Euler_transform] A130195 9.16544 [-(x+1)^2/(x-1)/(x^2+1)^2 ogf] A130196 13.0433 [{-a(n+3)+a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A130196 14.7954 [f(x)*(f(x)*x^3+2*x^2-f(x)+2*x+1) ogf] A130196 17.3692 [-(2+4*x+2*x^4+4*x^3+3*x^2)/(x-1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A130196 20.2305 [-(2*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A130198 10.5450 [-x^2*(-x^4-4*x^3+2*x^5+8*x^2-6*x+3)/(-1+x)/(x^3-x+1)/(x^4+1) lgdogf] A130198 6.27065 [f(x)*(f(x)*x^5-f(x)*x^4+x^4+f(x)*x-x^2-f(x)+x) ogf] A130198 7.54868 [-x*(x^3-x+1)/(x-1)/(x^4+1) ogf] A130205 11.5170 [-(2+8*x-4*x^5+x^6+4*x^3+5*x^4+2*x^2)/(x-1)/(x^2+x+1)/(x^4-3*x^3+3*x^2+1) lgdogf] A130205 9.49802 [-(x^4-3*x^3+3*x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A130213 11.375 [-81*f(x)*x^2+30*f(x)*x-f(x)+12*x ogf] A130213 15.8313 [-1/27*(-2-5*x+2*(1+x)^(1/2)*(4*x+1)^(1/2))/x revogf] A130213 17.6312 [12*x/(27*x-1)/(3*x-1) ogf] A130213 24.0200 [-6*(-5+27*x)/(27*x-1)/(3*x-1) lgdogf] A130213 8.39583 [{a(n+2)-30*a(n+1)+81*a(n),a(0)=0,a(1)=12} ogf] A130214 10.1552 [-625*f(x)*x^2+130*f(x)*x-f(x)+60*x ogf] A130214 11.4609 [-1/125*(-6-13*x+2*(3+4*x)^(1/2)*(1+3*x)^(1/2)*3^(1/2))/x revogf] A130214 15.4746 [60*x/(125*x-1)/(5*x-1) ogf] A130214 19.4487 [-10*(-13+125*x)/(125*x-1)/(5*x-1) lgdogf] A130214 7.55735 [{a(n+2)-130*a(n+1)+625*a(n),a(0)=0,a(1)=60} ogf] A130215 10.0284 [-1/343*(-12-25*x+2*(3*x+2)^(1/2)*(3+8*x)^(1/2)*2^(1/2)*3^(1/2))/x revogf] A130215 14.9947 [168*x/(343*x-1)/(7*x-1) ogf] A130215 19.7530 [-14*(-25+343*x)/(343*x-1)/(7*x-1) lgdogf] A130215 7.49733 [{a(n+2)-350*a(n+1)+2401*a(n),a(0)=0,a(1)=168} ogf] A130215 9.99643 [-2401*f(x)*x^2+350*f(x)*x-f(x)+168*x ogf] A130216 9.12508 [-(3*x^8-2*x^7+x^4-2*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A130218 16.0528 [-(-3-2*x+2*x^3-12*x^2)/(x-1)/(x^3-5*x^2+2*x-1) lgdogf] A130218 3.82224 [{(345*n^2+2641*n+4818)*a(n+1)+(-567*n^2-2973*n-2820)*a(n+2)+(222*n^2+824*n+474)*a(n+3),a(0)=1,a(1)=3,a(2)=10} ogf] A130218 8.65495 [(x^3-5*x^2+2*x-1)/(x-1)^5 ogf] A130240 13.0274 [x*(x^24+x^8+x^3+2)/(x-1)^2 ogf] A130240 13.0389 [(-4-3*x^2+x^3-8*x^7+6*x^8+22*x^24-24*x^23)/(x-1)/(x^24+x^8+x^3+2) lgdogf] A130259 6.77327 [-x*(x^49+x^47-x^33-2*x^20-x^15-x^13-x^7-x^2-1)/(x-1)/(x^47-x^13-1) ogf] A130404 16.4148 [-2*(1+2*x+x^4-x^3+3*x^2)/(x-1)/(x+1)/(x^3-x^2+x+1) lgdogf] A130404 9.84601 [-(x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A130423 10.8845 [(7*x^2-2*x+4)/(x-1)^4 ogf] A130423 20.4549 [-2*(7+4*x+7*x^2)/(x-1)/(7*x^2-2*x+4) lgdogf] A130423 3.69966 [{(4*n+16)*a(n+4)+(-32-6*n)*a(n+3)+(10+9*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=4,a(1)=14,a(2)=39,a(3)=88} ogf] A130423 5.52228 [(4194*f(x)+11623)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)+2*x-4) ogf] A130424 12.9500 [-(-30-70*x+x^4+4*x^3-45*x^2)/(x-1)/(x^4-15*x^2-10*x-4) lgdogf] A130424 8.01447 [(x^4-15*x^2-10*x-4)/(x-1)^5 ogf] A130429 3.63723 [10*x*(2826383*x^6+673617*x^5+20746383*x^4+25753617*x^3+2826383*x^2+673617*x+946500000)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A130431 23.6811 [-2/(-1+x) lgdogf] A130431 3.18438 [-f(x)*x^2+2*f(x)*x-f(x)+10000000000*x ogf] A130446 10.5659 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A130446 10.9525 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A130446 110.124 [-2/(x-1) lgdogf] A130446 27.2152 [1/(x-1)^2 ogf] A130446 38.3041 [4*x/(1+(4*x+1)^(1/2))^2 revogf] A130472 16.5120 [x/(x-1)/(x+1)^2 ogf] A130472 35.2515 [[-1+2*x] ogf_with_Euler_transform] A130472 41.1476 [-(-1+3*x)/(x-1)/(x+1) lgdogf] A130472 6.69406 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=-1,a(2)=1} ogf] A130472 9.64988 [-f(x)*x^3-f(x)*x^2+f(x)*x+f(x)+x ogf] A130481 15.8822 [x*(2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A130481 21.2480 [-3*(x+1)*(2*x^2+1)/(x-1)/(2*x+1)/(x^2+x+1) lgdogf] A130481 5.52004 [{(-3*n-10)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+7)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=3} ogf] A130481 7.87206 [-(234*f(x)+547)*(f(x)*x^4-f(x)*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A130482 13.1015 [-(3+9*x+11*x^4+10*x^3+9*x^5+6*x^2)/(x-1)/(x+1)/(1+x^2)/(3*x^2+2*x+1) lgdogf] A130482 13.9029 [x*(3*x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A130483 12.2246 [x*(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A130483 9.35986 [-(3+9*x+16*x^6+15*x^4+10*x^3+17*x^5+18*x^2+12*x^7)/(x-1)/(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A130484 10.7414 [x*(5*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A130484 7.33015 [-3*(1+3*x+6*x^2+10*x^3+5*x^4+7*x^5+8*x^6+5*x^9+8*x^7+7*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A130485 9.83092 [x*(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A130486 8.98458 [x*(7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A130487 8.03968 [x*(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A130488 7.27349 [x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A130489 6.66294 [x*(10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A130490 6.16939 [x*(11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A130496 20.0409 [2*x^5/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A130496 20.5954 [-(1+x+x^2+x^3+6*x^4)/(x-1)/(1+x+x^2+x^3+x^4) lgdogf] A130496 35.9668 [[x^4+1] ogf_with_Euler_transform] A130497 10.1820 [-(1+x+x^2+x^3+11*x^4+x^5+x^6+x^7+x^8+x^9)/(x-1)/(x+1)/(1+x+x^2+x^3+x^4)/(x^4-x^3+x^2-x+1) lgdogf] A130497 16.2039 [(x^4-x^3+x^2-x+1)*(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A130497 31.7548 [-x^9+2*x^4+1 ogf_with_Euler_transform] A130505 10.3653 [{-a(n+2)+18*a(n),a(0)=1,a(1)=3} ogf] A130505 15.3729 [1/6*2^(1/2)*(-ln(1+2^(1/2))+arcsinh(1+6*x)) revegf] A130505 16.0416 [-(3*x+1)/(18*x^2-1) ogf] A130505 17.8658 [-3*(1+12*x+18*x^2)/(1+3*x)/(18*x^2-1) lgdogf] A130505 9.90805 [(6*f(x)-5)*(18*f(x)*x^2-f(x)+3*x+1) ogf] A130507 29.2190 [[-x^4+2*x^3] ogf_with_Euler_transform] A130507 7.25797 [-x^2*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)^2/(x^2+1)^2 ogf] A130508 11.8828 [(2*x^3-2*x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A130508 4.99948 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=2,a(1)=3,a(2)=1,a(3)=5} ogf] A130508 6.50726 [-(66*f(x)+203)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x+2*x^2+f(x)-x-2) ogf] A130508 7.85971 [-(3-x+2*x^5-2*x^4+3*x^3+13*x^2)/(-1+x)/(x^2+x+1)/(2*x^3-2*x^2+x+2) lgdogf] A130509 6.6837 [-(15*f(x)+56)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)+2*x-3) ogf] A130509 7.74241 [(x^3+x^2-2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A130509 8.10533 [-(1+3*x+x^5+3*x^4-4*x^3+14*x^2)/(-1+x)/(x^2+x+1)/(x^3+x^2-2*x+3) lgdogf] A130518 14.7971 [-x^3/(x^2+x+1)/(x-1)^3 ogf] A130518 27.9780 [-(2+2*x+5*x^2)/(x-1)/(x^2+x+1) lgdogf] A130518 33.5989 [[x^2+2] ogf_with_Euler_transform] A130518 5.23872 [{(n+3)*a(n+1)+2*a(n+2)+2*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A130518 5.89815 [-(5*f(x)-4)*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3-f(x)*x^2+x^3+2*f(x)*x-f(x)) ogf] A130519 14.9880 [-x^4/(x+1)/(x^2+1)/(x-1)^3 ogf] A130519 20.3409 [-a(n+4)+a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=6 lgdogf] A130519 34.0380 [[x^3+2] ogf_with_Euler_transform] A130520 14.8281 [-x^5/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A130520 16.9868 [-(2+2*x+2*x^2+2*x^3+7*x^4)/(x-1)/(x^4+x^3+x^2+x+1) lgdogf] A130520 33.6774 [[x^4+2] ogf_with_Euler_transform] A130532 8.61994 [-(5*x^10+2*x^9+7*x^8+x^7+3*x^6+5*x^5+4*x^4+4*x^3+5*x^2+3*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A130543 115.955 [-1/(x-1) lgdogf] A130543 20.6142 [x^4+f(x)*x-f(x) ogf] A130543 31.9876 [-x^4/(x-1) ogf] A130543 8.91961 [{-a(n+5)+a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A130544 6.99261 [x^5*(x^19-x^18+x^13-x^12+2*x^9-2*x^8+x^5+2*x^4-3*x^3+x^2-x-1)/(x-1) ogf] A130563 4.94244 [{(-2*n^2-21*n-55)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=36} ogf] A130563 9.44560 [-9*(8+84*x+35*x^3+140*x^2)/(-1+2*x)/(35*x^3+105*x^2+42*x+2) lgdegf] A130564 52.3157 [-x*(x-1)^5 revogf] A130565 54.1458 [x*(x-1)^6 revogf] A130566 12.8129 [(44*x+1)/(x-1)^4 ogf] A130566 28.8874 [-12*(4+11*x)/(44*x+1)/(x-1) lgdogf] A130566 5.02786 [{(n+3)*a(n+3)+(38+43*n)*a(n+2)+(-176-44*n)*a(n+1),a(0)=1,a(1)=48,a(2)=186} ogf] A130566 5.59438 [(7388050500*f(x)+213883488649)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-44*x-1) ogf] A130567 10.6106 [-(2*x^2-7*x+2)/(x-1)/(2*x-1)/(4*x-1) ogf] A130567 5.77067 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=2,a(1)=7,a(2)=23} ogf] A130567 5.82174 [(17*f(x)+6)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-7*x+2) ogf] A130567 9.48741 [-(7-52*x+16*x^4-112*x^3+132*x^2)/(x-1)/(2*x-1)/(4*x-1)/(2*x^2-7*x+2) lgdogf] A130578 11.7565 [x^2/(x-1)/(x^2-x+1)/(x^2+x-1) ogf] A130578 12.5085 [-(-3+6*x-3*x^2-4*x^3+5*x^4)/(x-1)/(x^2-x+1)/(x^2+x-1) lgdogf] A130578 5.7275 [f(x)*x^5-f(x)*x^4-f(x)*x^3+3*f(x)*x^2-3*f(x)*x-x^2+f(x) ogf] A130599 10.7316 [3*f(x)*x^4-4*f(x)*x^2+x^3+3*x^2+f(x)-x-1 ogf] A130608 6.80774 [x*(24*x^5+119*x^4+24*x^3-116*x^2-357*x-28)/(x-1)/(x^6-6*x^3+1) ogf] A130609 6.92823 [x*(28*x^5+167*x^4+28*x^3-136*x^2-501*x-32)/(x-1)/(x^6-6*x^3+1) ogf] A130610 5.90442 [x*(36*x^5+287*x^4+36*x^3-176*x^2-861*x-40)/(x-1)/(x^6-6*x^3+1) ogf] A130612 3.24528 [{-a(n+3)+1110*a(n+2)-111000*a(n+1)+1000000*a(n),a(0)=1,a(1)=385,a(2)=338350} ogf] A130612 5.32867 [-(22000*x^2-725*x+1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A130619 4.48418 [{a(n+1)+(n+4)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A130624 12.4037 [-x*(2*x+1)/(2*x-1)/(x^2-x+1) ogf] A130624 16.9906 [-(5-6*x+8*x^3)/(1+2*x)/(-1+2*x)/(x^2-x+1) lgdogf] A130624 6.36947 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A130624 6.96073 [-(251*f(x)-390)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+x) ogf] A130625 11.4199 [-(-4+10*x+4*x^4-4*x^3-9*x^2)/(x-1)/(1+2*x)/(-1+2*x)/(x^2-x+1) lgdogf] A130625 11.6472 [(2*x+1)*(x-1)/(2*x-1)/(x^2-x+1) ogf] A130625 6.23224 [(59*f(x)-654)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+x+1) ogf] A130625 6.34354 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=7} ogf] A130626 11.1798 [-(3-10*x+8*x^4-24*x^3+24*x^2)/(-1+2*x)/(x^2-x+1)/(4*x^2-6*x+3) lgdogf] A130626 11.5903 [-(4*x^2-6*x+3)/(2*x-1)/(x^2-x+1) ogf] A130626 6.14791 [(261*f(x)-992)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-6*x+3) ogf] A130626 6.31260 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=3,a(1)=3,a(2)=4} ogf] A130630 4.27517 [-(x^4+x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A130630 9.52572 [x^8-x^4+1 ogf_with_Euler_transform] A130641 11.8053 [-(f(x)*x-f(x)+x)^3 egf] A130645 6.77283 [x*(40*x^5+359*x^4+40*x^3-196*x^2-1077*x-44)/(x-1)/(x^6-6*x^3+1) ogf] A130646 5.73190 [x*(52*x^5+623*x^4+52*x^3-256*x^2-1869*x-56)/(x-1)/(x^6-6*x^3+1) ogf] A130647 5.78922 [x*(56*x^5+727*x^4+56*x^3-276*x^2-2181*x-60)/(x-1)/(x^6-6*x^3+1) ogf] A130651 4.31018 [-x^4*(3*x-1)/(6*x-1)/(4*x-1)^2/(2*x-1)^3 ogf] A130651 6.92456 [-(-17+184*x+720*x^3-636*x^2)/(6*x-1)/(-1+3*x)/(2*x-1)/(4*x-1) lgdogf] A130652 11.1558 [(11*x+9)/(11*x-1)/(x-1) ogf] A130652 11.3944 [-1/22*(-9-12*x+(81+260*x+100*x^2)^(1/2))/(x-1) revogf] A130652 11.6476 [-(-119+198*x+121*x^2)/(x-1)/(11*x+9)/(11*x-1) lgdogf] A130652 5.69657 [(1230*f(x)+3091)*(11*f(x)*x^2-12*f(x)*x+f(x)-11*x-9) ogf] A130652 6.22648 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=9,a(1)=119} ogf] A130656 10.2661 [-4*(1+8*x+19*x^3+6*x^4+3*x^5+11*x^2)/(x-1)/(x+1)/(4*x^4+5*x^3+11*x^2+3*x+1) lgdogf] A130656 7.13555 [(4*x^4+5*x^3+11*x^2+3*x+1)/(x+1)^3/(x-1)^4 ogf] A130657 5.34152 [x^6-x^3+1 ogf_with_Euler_transform] A130658 17.3911 [-(2*x^2+1)/(x-1)/(x^2+1) ogf] A130658 23.1590 [-(1+2*x+2*x^4+x^2)/(x-1)/(1+2*x^2)/(1+x^2) lgdogf] A130658 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A130658 8.85084 [-(8*f(x)-11)*(f(x)*x^3-f(x)*x^2+f(x)*x+2*x^2-f(x)+1) ogf] A130659 14.5465 [-2*(1+4*x+4*x^5+3*x^4+2*x^3)/(-1+x)/(x+1)/(1+x^2)/(4*x^2+2*x+1) lgdogf] A130659 15.4664 [-x*(4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A130659 9.75857 [(271*f(x)+1164)*(f(x)*x^4+4*x^3+2*x^2-f(x)+x) ogf] A130668 6.61495 [x^2*(x+1)*(3*x^3+4*x^2+3*x+1)/(2*x^2+2*x+1)/(2*x+1)^2 ogf] A130668 7.97176 [-(2+10*x+12*x^4+22*x^3+4*x^5+21*x^2)/(2*x+1)/(x+1)/(2*x^2+2*x+1)/(3*x^3+4*x^2+3*x+1) lgdogf] A130683 11.5282 [-4*f(x)*x^2+4*f(x)*x-f(x)+4 egf] A130683 20.6111 [4/(2*x-1)^2 egf] A130683 7.64231 [{(-2*n-6)*a(n+1)+a(n+2),a(0)=4,a(1)=16} ogf] A130692 11.3790 [-9*x^9/(10*x^9-1)/(x-1)^2 ogf] A130692 20.2729 [-2*(-1-45*x^8+55*x^9)/(x-1)/(10*x^9-1) lgdogf] A130694 5.36012 [-(2*x^20-2*x^19+x^16-x^15+x^14-x^13+4*x^9-4*x^8+2*x^6-x^5+x^4+6*x^3-7*x^2+66*x-68)/(x-1)^2 ogf] A130706 10.2387 [{a(n+2),a(0)=1,a(1)=2} ogf] A130706 108.075 [2/(1+2*x) lgdogf] A130706 18.9606 [1+2*x-f(x) ogf] A130706 46.3180 [2*x/(1+(1+4*x)^(1/2)) revegf] A130707 12.0821 [(x^2+x-1)/(2*x-1)/(x^2-x+1) ogf] A130707 13.3871 [-2*(x-1)*(x^3+3*x^2-3*x+1)/(2*x-1)/(x^2-x+1)/(x^2+x-1) lgdogf] A130707 6.40878 [-(f(x)-1)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+1) ogf] A130707 6.58044 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A130713 138.954 [2/(x+1) lgdogf] A130713 14.7597 [x^2+2*x+1-f(x) ogf] A130713 24.5489 [[2-2*x] ogf_with_Euler_transform] A130713 7.82712 [{-a(n+3),a(0)=1,a(1)=2,a(2)=1} ogf] A130716 11.8666 [x^2+x+1-f(x) ogf] A130716 16.5702 [[-x^2+1] ogf_with_Euler_transform] A130716 57.2163 [(1+2*x)/(x^2+1+x) lgdogf] A130716 6.29288 [{-a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A130717 14.3685 [-(1+3*x+2*x^6+3*x^5+3*x^4+2*x^3+6*x^2)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A130717 28.6463 [-x^4+2*x^3-1 ogf_with_Euler_transform] A130717 7.93328 [x*(x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+1)^2 ogf] A130722 12.6058 [x^3*(x^2+x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A130722 14.7717 [-(1+4*x+5*x^4+8*x^3+4*x^5+2*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+1+x) lgdogf] A130722 22.3801 [1+x-1/2*x^2+1/6*x^3 egf]_with_Euler_transform] A130723 6.92223 [-3*(x^8+x^7+7*x^6+10*x^5+4*x^4+10*x^3+7*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A130724 10.7076 [x*(3*x^4+6*x^3+x^2+6*x+3)/(x-1)^2/(x^2+x+1)^2 ogf] A130724 6.49199 [{(-n-4)*a(n+1)+(n+1)*a(n+4),a(0)=0,a(1)=3,a(2)=6,a(3)=1} ogf] A130727 14.9584 [-(x^2-2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A130727 16.5786 [-(x+1)*(2*x^3-7*x^2+2*x-3)/(x-1)/(x^2+x+1)/(x^2-2*x-1) lgdogf] A130727 5.56380 [{(n+5)*a(n+1)+a(n+2)+a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=3,a(2)=2,a(3)=3} ogf] A130727 7.66775 [-(151*f(x)+580)*(f(x)*x^4-f(x)*x^3-f(x)*x+x^2+f(x)-2*x-1) ogf] A130731 11.0218 [(7*f(x)+2)*(f(x)*x^4-f(x)+2*x+1) ogf] A130731 18.0112 [-(2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A130731 20.8998 [-2*(1+2*x^3+3*x^4)/(x-1)/(2*x+1)/(x+1)/(1+x^2) lgdogf] A130734 7.96204 [-x*(5*x^97+10*x^96+40*x^9+35*x^8+30*x^7+25*x^6+20*x^5+15*x^4+10*x^3+6*x^2+3*x+1)/(15*x^97-10*x^96-40*x^11+45*x^10-x^4-x^3-x^2-x-1) ogf] A130744 26.7944 [-2*(x-4)/(x-1)/(x-3) lgdegf] A130744 3.24239 [{(-n^2-4*n-4)*a(n+1)+(-3*n^2-20*n-33)*a(n+2)+(6+3*n)*a(n+3),a(0)=0,a(1)=3,a(2)=16} ogf] A130744 5.09085 [(8*f(x)+9)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+3*x) egf] A130744 9.55651 [x*(x-3)/(x-1)^3 egf] A130748 10.3531 [-(x^3-4*x^2-4*x-17)/(x-1)^4 ogf] A130748 16.8722 [-(-72-20*x+x^3-5*x^2)/(-1+x)/(x^3-4*x^2-4*x-17) lgdogf] A130748 5.20996 [(211396608*f(x)+3834798935)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-4*x^2+f(x)-4*x-17) ogf] A130750 12.0491 [-(2*x^2+1)/(2*x-1)/(x^2-x+1) ogf] A130750 16.0253 [-(3-2*x+4*x^4)/(2*x-1)/(x^2-x+1)/(2*x^2+1) lgdogf] A130750 5.97215 [-(147*f(x)-134)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+1) ogf] A130750 6.13212 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A130752 14.0221 [-(-5+12*x+4*x^3-15*x^2)/(-2+x)/(2*x-1)/(x^2-x+1) lgdogf] A130752 14.6458 [(x-2)/(2*x-1)/(x^2-x+1) ogf] A130752 6.93058 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=2,a(1)=5,a(2)=9} ogf] A130752 7.25444 [(147*f(x)-428)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-x+2) ogf] A130755 11.0338 [-(4-10*x+8*x^4-20*x^3+21*x^2)/(2*x-1)/(x^2-x+1)/(4*x^2-5*x+3) lgdogf] A130755 11.2590 [-(4*x^2-5*x+3)/(2*x-1)/(x^2-x+1) ogf] A130755 6.02454 [(57*f(x)-116)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-5*x+3) ogf] A130755 6.13212 [{-a(n+3)+3*a(n+2)-3*a(n+1)+2*a(n),a(0)=3,a(1)=4,a(2)=7} ogf] A130759 10.4895 [-(x^2+x-1)/(2*x-1)/(x-1)/(x^2-x+1) ogf] A130759 10.5939 [-(3-14*x+4*x^5+x^4-18*x^3+25*x^2)/(x-1)/(2*x-1)/(x^2-x+1)/(x^2+x-1) lgdogf] A130759 5.56752 [(17*f(x)-4)*(2*f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1) ogf] A130764 2.93229 [(f(x)+2113)*(f(x)*x^2-2*f(x)*x+f(x)+64*x-65) ogf] A130764 5.61502 [-(64*x-65)/(x-1)^2 ogf] A130764 6.60194 [-1/2*(-65-2*x+(4225+4*x)^(1/2))/(64+x) revogf] A130764 8.36246 [-2*(-33+32*x)/(-1+x)/(64*x-65) lgdogf] A130765 10.8603 [-2*(-49+48*x)/(-1+x)/(96*x-97) lgdogf] A130765 3.76491 [(f(x)+4705)*(f(x)*x^2-2*f(x)*x+f(x)+96*x-97) ogf] A130765 4.03383 [{-a(n+2)+2*a(n+1)-a(n),a(0)=97,a(1)=98} ogf] A130765 7.20940 [-(96*x-97)/(x-1)^2 ogf] A130765 8.57395 [-1/2*(-97-2*x+(9409+4*x)^(1/2))/(96+x) revogf] A130766 12.1073 [-(1+x+10*x^3+2*x^4+2*x^5+3*x^6+x^7+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+1) lgdogf] A130766 13.8615 [(x^4+x^3+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A130770 6.25621 [-(1+14*x+48*x^7+102*x^5+99*x^4+2*x^9+21*x^8+x^10+24*x^3+39*x^2+27*x^6)/(x-1)/(x^2+x+1)/(x^8+x^7+7*x^6+10*x^5+4*x^4+10*x^3+7*x^2+x+1) lgdogf] A130770 7.31914 [-(x^8+x^7+7*x^6+10*x^5+4*x^4+10*x^3+7*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A130772 10.2602 [x^5-x^2-x+1 ogf_with_Euler_transform] A130772 10.3135 [2/(x^2-x+1) ogf] A130772 24.9935 [-(2*x-1)/(x^2-x+1) lgdogf] A130772 4.15056 [{-a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=2} ogf] A130772 5.76858 [f(x)*x^2-f(x)*x+f(x)-2 ogf] A130773 17.2751 [-x*(x+1)*(x-2)/(x-1)^2 ogf] A130773 37.3804 [-(-5+x)/(-1+x)/(x-2)/(x+1) lgdogf] A130773 8.71397 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=2,a(2)=5,a(3)=7} ogf] A130773 9.94625 [(8*f(x)+341)*(f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-2*x) ogf] A130778 5.23737 [-(4*f(x)+17)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)-3*x+1) ogf] A130778 5.42443 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-3} ogf] A130778 7.68299 [-(-1-2*x+x^4-6*x^3+7*x^2)/(-1+x)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A130778 9.95961 [-(x^2-3*x+1)/(x-1)/(x^2-x+1) ogf] A130779 14.7597 [2*x^2+x+1-f(x) ogf] A130779 51.1936 [(4*x+1)/(2*x^2+1+x) lgdogf] A130779 7.82712 [{-a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A130781 11.8652 [-(2*x^2-2*x+1)/(2*x-1)/(x^2-x+1) ogf] A130781 12.2378 [-(1-2*x+4*x^4-8*x^3+6*x^2)/(2*x-1)/(x^2-x+1)/(2*x^2-2*x+1) lgdogf] A130781 6.29371 [-(5*f(x)-2)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A130781 6.46230 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A130782 12.7009 [-(1+4*x+x^8+6*x^6+4*x^5+2*x^7+5*x^4+4*x^3+3*x^2)/(-1+x)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(1+x^2) lgdogf] A130782 18.0765 [-(x^2+1)*(x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A130782 28.6083 [x^4-x^3-x^2+x+1 ogf_with_Euler_transform] A130784 10.2567 [{-a(n+3)+a(n),a(0)=1,a(1)=3,a(2)=2} ogf] A130784 13.3630 [-(3+4*x+2*x^4+6*x^3+3*x^2)/(-1+x)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A130784 15.9084 [-(x+1)*(2*x+1)/(x-1)/(x^2+x+1) ogf] A130784 9.62359 [-(39*f(x)-83)*(f(x)*x^3+2*x^2-f(x)+3*x+1) ogf] A130785 14.6458 [-(x+1)/(2*x-1)/(x^2-x+1) ogf] A130785 6.93058 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A130785 6.98856 [-(4-6*x+4*x^3+3*x^2)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A130785 6.99302 [-(285*f(x)+664)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+x+1) ogf] A130793 11.2632 [-(150*f(x)+587)*(f(x)*x^3+5*x^2-f(x)+3*x+1) ogf] A130793 12.3007 [{-a(n+3)+a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A130793 15.8005 [-(3+10*x+5*x^4+6*x^3+3*x^2)/(-1+x)/(x^2+x+1)/(5*x^2+3*x+1) lgdogf] A130793 19.0786 [-(5*x^2+3*x+1)/(x-1)/(x^2+x+1) ogf] A130794 11.9853 [(93*f(x)-325)*(f(x)*x^3+3*x^2-f(x)+5*x+1) ogf] A130794 12.3007 [{-a(n+3)+a(n),a(0)=1,a(1)=5,a(2)=3} ogf] A130794 15.8005 [-(5+6*x+3*x^4+10*x^3+3*x^2)/(-1+x)/(x^2+x+1)/(3*x^2+5*x+1) lgdogf] A130794 19.0786 [-(3*x^2+5*x+1)/(x-1)/(x^2+x+1) ogf] A130806 12.6020 [-1/2*(-1-x+(1+14*x-3*x^2)^(1/2))/(-3+x) revogf] A130806 14.8933 [-(-4+2*x+3*x^2)/(1+3*x)/(x^2-x+1) lgdogf] A130806 4.85696 [(f(x)+7)*(f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A130806 5.03466 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=4} ogf] A130806 9.17427 [(3*x+1)/(x^2-x+1) ogf] A130809 15.4767 [8/(x-1)^4 ogf] A130809 6.48169 [(f(x)+8)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-8) ogf] A130809 7.22245 [{(-n-2)*a(n+2)+(5+n)*a(n+1),a(0)=8,a(1)=32} ogf] A130809 92.9628 [-4/(x-1) lgdogf] A130810 12.2835 [-16/(x-1)^5 ogf] A130810 6.95292 [{(-n-2)*a(n+2)+(6+n)*a(n+1),a(0)=16,a(1)=80} ogf] A130810 90.3630 [-5/(x-1) lgdogf] A130811 10.0557 [32/(x-1)^6 ogf] A130811 6.48453 [{(-n-2)*a(n+2)+(7+n)*a(n+1),a(0)=32,a(1)=192} ogf] A130811 85.0300 [-6/(x-1) lgdogf] A130812 7.27921 [{(-n-2)*a(n+2)+(8+n)*a(n+1),a(0)=64,a(1)=448} ogf] A130812 81.1601 [-7/(x-1) lgdogf] A130812 9.98558 [-64/(x-1)^7 ogf] A130813 6.30696 [{(-n-2)*a(n+2)+(9+n)*a(n+1),a(0)=128,a(1)=1024} ogf] A130813 7.81203 [128/(x-1)^8 ogf] A130813 84.3033 [-8/(x-1) lgdogf] A130815 13.9704 [(4*x+1)/(x^2-x+1) ogf] A130815 20.1454 [-1/2*(-1-x+(1+18*x-3*x^2)^(1/2))/(x-4) revogf] A130815 23.1977 [-(-5+2*x+4*x^2)/(4*x+1)/(x^2-x+1) lgdogf] A130815 7.31012 [(3*f(x)+22)*(f(x)*x^2-f(x)*x+f(x)-4*x-1) ogf] A130815 7.66671 [{-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5} ogf] A130823 15.8328 [-(1+x+7*x^2+x^3+x^4+x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A130823 15.8571 [(x+1)*(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A130823 31.0689 [-x^5+2*x^2+1 ogf_with_Euler_transform] A130823 7.28915 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A130823 8.07012 [-(8*f(x)+17)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+f(x)-1) ogf] A130824 10.5211 [f(x)*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)-2*x) ogf] A130824 17.3920 [2*x*(x+1)/(x-1)^2 ogf] A130824 31.1101 [-(-1-x+(4*x+1)^(1/2))/(x-2) revogf] A130824 40.4110 [[3-x] ogf_with_Euler_transform] A130824 46.6652 [-(x+3)/(x-1)/(x+1) lgdogf] A130824 8.43768 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=2,a(2)=6} ogf] A130840 5.10372 [-(x^7-3*x^6+3*x^5-x^4+4*x^3-6*x^2+4*x-1)/(2*x-1)/(x-1)^3 ogf] A130842 7.97575 [(5-3*x+1040*x^12-15*x^3+6*x^4-2000*x^13+960*x^14+9*x^2)/(x-1)/(80*x^14-80*x^13+3*x^4-3*x^3+3*x^2-3*x-1) lgdogf] A130842 9.20365 [-2*(80*x^14-80*x^13+3*x^4-3*x^3+3*x^2-3*x-1)/(x-1)^2 ogf] A130844 4.83572 [-(146993*f(x)-468711)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+4*x^3+2*f(x)*x-x^2-f(x)+3*x) ogf] A130844 9.73768 [-x*(4*x^2-x+3)/(x+1)/(x^3-2*x^2+3*x-1) ogf] A130844 9.86827 [-(5+14*x+14*x^3-7*x^4+8*x^5-18*x^2)/(x+1)/(4*x^2-x+3)/(x^3-2*x^2+3*x-1) lgdogf] A130845 26.0770 [-x^4+2*x^3+1 ogf_with_Euler_transform] A130845 9.09029 [-(1+2*x+5*x^6+6*x^5+4*x^7+12*x^3+3*x^2+7*x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A130845 9.36737 [x^3*(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A130848 11.1322 [(f(x)+23)*(f(x)*x^2-f(x)*x+f(x)-3*x-2) ogf] A130848 11.6752 [{-a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=5} ogf] A130848 21.2749 [(3*x+2)/(x^2-x+1) ogf] A130848 30.1216 [-1/2*(-2-x+(4+16*x-3*x^2)^(1/2))/(-3+x) revogf] A130848 35.5983 [-(-5+4*x+3*x^2)/(3*x+2)/(x^2-x+1) lgdogf] A130857 33.6912 [-(5*x-17)/(x-1)/(x-3) lgdogf] A130857 4.75617 [{(-6-3*n)*a(n+3)+(21+4*n)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=3,a(2)=17} ogf] A130857 8.54977 [-x*(x-3)/(x-1)^6 ogf] A130859 15.9912 [-(1726*x+1)/(x-1)^3 ogf] A130859 28.4214 [-(1729+3452*x)/(1726*x+1)/(x-1) lgdogf] A130859 6.63339 [(88996007926661*f(x)-92219453850225021)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1726*x+1) ogf] A130859 7.58905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1729,a(2)=5184} ogf] A130861 13.6353 [x*(5*x-9)/(x-1)^3 ogf] A130861 29.4511 [-2*(-11+5*x)/(x-1)/(5*x-9) lgdogf] A130861 6.75838 [(6960*f(x)-105469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+9*x) ogf] A130861 6.93941 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=22} ogf] A130862 14.2583 [x*(11*x^2-35*x+30)/(x-1)^4 ogf] A130862 26.1437 [-(85-83*x+22*x^2)/(-1+x)/(11*x^2-35*x+30) lgdogf] A130862 5.18483 [{(90+30*n)*a(n+4)+(-215-65*n)*a(n+3)+(129+46*n)*a(n+2)+(-22-11*n)*a(n+1),a(0)=0,a(1)=30,a(2)=85,a(3)=171} ogf] A130862 7.17636 [(12947904*f(x)+151425931)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-11*x^3-4*f(x)*x+35*x^2+f(x)-30*x) ogf] A130863 10.2036 [-2*(x-2)*(7*x^2-22*x+25)/(-1+x)/(7*x^3-31*x^2+50*x-30) lgdogf] A130863 5.97019 [x*(7*x^3-31*x^2+50*x-30)/(x-1)^5 ogf] A130869 10.9972 [-(7-24*x+36*x^2-26*x^3+6*x^4)/(x-1)/(x-2)/(-1+2*x)/(x^2-x+1) lgdogf] A130869 11.0400 [-(x-2)/(2*x-1)/(x-1)/(x^2-x+1) ogf] A130869 5.1018 [-(6333*f(x)+30868)*(2*f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+x-2) ogf] A130875 9.35182 [-(9*x^9+7*x^8+x^7+3*x^6+x^5+x^4+3*x^3+x^2+7*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A130876 11.8554 [-(x^2+1727*x+1)/(x-1)^3 ogf] A130876 19.0963 [-(1730+3456*x+x^2)/(x-1)/(x^2+1727*x+1) lgdogf] A130876 6.16864 [(2161*f(x)-2239920)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1727*x+1) ogf] A130876 6.43003 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1730,a(2)=5188} ogf] A130877 14.8171 [x*(4*x+5)/(x+1)/(x-1)^2 ogf] A130877 23.7826 [-(9+19*x+8*x^2)/(4*x+5)/(x-1)/(x+1) lgdogf] A130877 7.54082 [(747*f(x)+1133)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-5*x) ogf] A130877 7.60876 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=9} ogf] A130881 10.5211 [x*(x^6+6*x^4-6*x^3+7*x+1)/(x+1)/(x-1)^2 ogf] A130881 11.3510 [(-8-10*x-18*x^3-6*x^4-x^6+3*x^7+4*x^2)/(x-1)/(x+1)/(x^6+6*x^4-6*x^3+7*x+1) lgdogf] A130883 12.1064 [-(4*x^2-x+1)/(x-1)^3 ogf] A130883 21.2725 [-2*(x+1)*(2*x+1)/(x-1)/(4*x^2-x+1) lgdogf] A130883 6.36631 [(944*f(x)-1029)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-x+1) ogf] A130883 6.59368 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A130884 15.6372 [-(x+1)*(x^2+28*x+7)/(x-1)/(x^3+13*x^2+3*x+1) lgdogf] A130884 4.62085 [(12718863*f(x)+76309123)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-13*x^2+f(x)-3*x-1) ogf] A130884 9.00474 [(x^3+13*x^2+3*x+1)/(x-1)^4 ogf] A130885 15.3693 [-(17+45*x+9*x^2+x^3)/(x-1)/(x^3+3*x^2+13*x+1) lgdogf] A130885 4.61407 [(45893466*f(x)+317198431)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-13*x-1) ogf] A130885 9.05068 [(x^3+3*x^2+13*x+1)/(x-1)^4 ogf] A130886 6.73227 [-(3*x^4+32*x^3+54*x^2+6*x+1)/(x-1)^5 ogf] A130886 9.68827 [-(11+132*x+258*x^2+76*x^3+3*x^4)/(x-1)/(3*x^4+32*x^3+54*x^2+6*x+1) lgdogf] A130893 8.49963 [-(2*x^6+7*x^5-6*x^4+3*x^3+x^2+2*x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A130896 7.41746 [-(x^9+x^8+x^7-4*x^6-4*x^5-4*x^4+3*x^3+4*x^2+3*x+3)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A130901 4.51180 [-(5*x^7+2*x^6-2*x^5-16*x^4+3*x^3-5*x^2-15*x-1)/(x-1)/(10*x-1)/(x+1)/(x^2-x+1) ogf] A130902 5.18445 [x^3*(x^6+x^5-x^4+x^3+x^2-3*x-1)/(2*x-1)/(x^10+x^7-2*x^5-x^4-x^2-x+1) ogf] A130905 3.15788 [{(n^2+5*n+6)*a(n+1)+(-n-3)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=9} ogf] A130906 19.0749 [1/2*(-2-x^2+x^3)/(-1+x) lgdegf] A130906 4.20441 [{-a(n)+a(n+1)+(2*n+8)*a(n+3)+(-2*n-8)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=7/6,a(4)=7/6} egf] A130907 12.3976 [4-2*x^2+(-4+2*x+x^2)*f(x)+(1-x)*f(x)^2 lgdegf] A130907 3.11541 [{(n^2+5*n+6)*a(n+1)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=22} ogf] A130908 4.64096 [{(-2*n-10)*a(n+5)+(12+2*n)*a(n+4)-a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=23/6,a(4)=53/12} egf] A130909 5.74976 [-x*(15*x^14+14*x^13+13*x^12+12*x^11+11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A130910 4.78442 [x*(15*x^14+14*x^13+13*x^12+12*x^11+11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A130915 25.0143 [-x*(x+2)/(x-1)/(x+1) lgdegf] A130915 3.12598 [{(-n^2-7*n-12)*a(n+1)+(-n^2-7*n-12)*a(n+2)+a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=0} ogf] A130917 6.36256 [(5*x^5+x^4+2*x^3+x^2-x+1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A130917 6.67164 [-(1+x+5*x^6-12*x^5+11*x^7+18*x^4+9*x^3+3*x^2)/(-1+x)/(x+1)/(x^2-x+1)/(5*x^5+x^4+2*x^3+x^2-x+1) lgdogf] A130974 17.3911 [-(3*x^3+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A130974 18.0125 [-(1+3*x^6-2*x^3+6*x^2)/(x-1)/(x+1)/(3*x^3+1)/(x^2-x+1) lgdogf] A130974 7.99430 [{-a(n+4)+a(n+3)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A130974 9.26443 [(4*f(x)-5)*(f(x)*x^4-f(x)*x^3+3*x^3+f(x)*x-f(x)+1) ogf] A130976 11.0942 [-25*f(x)^2*x+f(x)^2+3*f(x)-4 ogf] A130976 12.1900 [-5/2*(-5+80*x+3*(1-16*x)^(1/2))/(25*x-1)/(-1+16*x) lgdogf] A130976 16.4729 [1/8*(3-25*x+5*(1-6*x+25*x^2)^(1/2))*x revogf] A130976 3.95718 [{(-400*n-600)*a(n+1)+(41*n+99)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=45} ogf] A130977 10.5065 [-6*(-3+60*x+2*(1-20*x)^(1/2))/(36*x-1)/(-1+20*x) lgdogf] A130977 13.2714 [1/5*(-18*x+2+3*(36*x^2-8*x+1)^(1/2))*x revogf] A130977 3.24304 [{(-720*n-1080)*a(n+1)+(56*n+138)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=6,a(2)=66} ogf] A130977 9.20794 [-36*f(x)^2*x+f(x)^2+4*f(x)-5 ogf] A130978 11.8724 [1/12*(5-49*x+7*(1-10*x+49*x^2)^(1/2))*x revogf] A130978 2.96321 [{(-1176*n-1764)*a(n+1)+(73*n+183)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=7,a(2)=91} ogf] A130978 8.4663 [-49*f(x)^2*x+f(x)^2+5*f(x)-6 ogf] A130978 9.07887 [-7/2*(-7+168*x+5*(1-24*x)^(1/2))/(49*x-1)/(-1+24*x) lgdogf] A130979 10.2704 [-64*f(x)^2*x+f(x)^2+6*f(x)-7 ogf] A130979 11.5063 [-8*(-4+112*x+3*(1-28*x)^(1/2))/(64*x-1)/(-1+28*x) lgdogf] A130979 14.8371 [1/7*(3-32*x+4*(1-12*x+64*x^2)^(1/2))*x revogf] A130979 3.57231 [{(-1792*n-2688)*a(n+1)+(92*n+234)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=8,a(2)=120} ogf] A130980 12.9388 [1/16*(7-81*x+9*(1-14*x+81*x^2)^(1/2))*x revogf] A130980 3.18335 [{(-2592*n-3888)*a(n+1)+(113*n+291)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=9,a(2)=153} ogf] A130980 9.20896 [-81*f(x)^2*x+f(x)^2+7*f(x)-8 ogf] A130980 9.89434 [-9/2*(-9+288*x+7*(1-32*x)^(1/2))/(81*x-1)/(-1+32*x) lgdogf] A131015 12.2382 [-(4*x^6-x^5-x^3+2*x^2+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A131015 7.59904 [-(1+4*x+4*x^12-13*x^6-5*x^4+2*x^3+22*x^5-5*x^2-8*x^7+13*x^8-4*x^9+x^10-2*x^11)/(x-1)/(4*x^6-x^5-x^3+2*x^2+1)/(1+x^2)/(x^4-x^2+1) lgdogf] A131017 10.0846 [-(1+4*x^9+8*x^7+4*x+6*x^5-3*x^8+5*x^6-3*x^2+x^10+8*x^3+5*x^4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4-x^3+2*x^2+x+1) lgdogf] A131017 15.4607 [-(x^5+2*x^4-x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131023 10.2868 [-(x^3+2*x^2-3*x+1)/(2*x-1)/(3*x^2-3*x+1) ogf] A131023 5.37721 [{-a(n+4)+5*a(n+3)-9*a(n+2)+6*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4} ogf] A131023 5.77066 [-(2*f(x)-7)*(6*f(x)*x^3-9*f(x)*x^2+x^3+5*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A131023 9.80008 [-(2-14*x+21*x^4-46*x^3+38*x^2)/(-1+2*x)/(3*x^2-3*x+1)/(x^3+2*x^2-3*x+1) lgdogf] A131024 5.75714 [(x^6-4*x^5+6*x^4-3*x^3+3*x^2-3*x+1)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A131025 5.15895 [(x^9-2*x^8+2*x^6+2*x^4-3*x^2+1)/(x-1)/(x+1)/(x^2-x+1)/(2*x^2-1)/(3*x^4-3*x^2+1) ogf] A131026 13.6567 [-(x^2-2*x+2)/(x-1)/(x^2-x+1) ogf] A131026 18.7053 [-(2-6*x+x^4-4*x^3+8*x^2)/(x-1)/(x^2-x+1)/(x^2-2*x+2) lgdogf] A131026 7.43803 [(9*f(x)-16)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+2) ogf] A131026 7.43803 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=1} ogf] A131027 14.9537 [-(3*x^2-5*x+4)/(x-1)/(x^2-x+1) ogf] A131027 16.4861 [-(3-10*x+3*x^4-10*x^3+16*x^2)/(x-1)/(x^2-x+1)/(3*x^2-5*x+4) lgdogf] A131027 8.00155 [(21*f(x)-109)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+3*x^2-f(x)-5*x+4) ogf] A131027 8.14443 [{-a(n+3)+2*a(n+2)-2*a(n+1)+a(n),a(0)=4,a(1)=3,a(2)=1} ogf] A131028 15.9886 [-(7*x^2-10*x+7)/(x-1)/(x^2-x+1) ogf] A131028 16.2113 [-(4-14*x+7*x^4-20*x^3+27*x^2)/(x-1)/(7*x^2-10*x+7)/(x^2-x+1) lgdogf] A131028 8.47259 [-(9*f(x)-32)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+7*x^2-f(x)-10*x+7) ogf] A131028 8.85083 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=4,a(2)=1} ogf] A131029 14.6991 [-(5-16*x+14*x^4-34*x^3+39*x^2)/(x-1)/(x^2-x+1)/(14*x^2-17*x+11) lgdogf] A131029 14.7463 [-(14*x^2-17*x+11)/(x-1)/(x^2-x+1) ogf] A131029 8.06636 [(37*f(x)-561)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+14*x^2-f(x)-17*x+11) ogf] A131029 8.35190 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=5,a(2)=2} ogf] A131030 14.5648 [-(7-14*x+25*x^4-50*x^3+48*x^2)/(x-1)/(x^2-x+1)/(25*x^2-25*x+16) lgdogf] A131030 14.6103 [-(25*x^2-25*x+16)/(x-1)/(x^2-x+1) ogf] A131030 7.72778 [-(25*f(x)-351)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x+25*x^2-f(x)-25*x+16) ogf] A131030 8.27488 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=16,a(1)=7,a(2)=7} ogf] A131037 5.63149 [10*x^4*(x^4+x^3-2*x^2+x+1)/(x-1)/(x^2+1)/(x^2+2*x-1)/(x^4-x^2+1) ogf] A131039 10.3762 [-(-3+2*x-12*x^5+2*x^6+19*x^2-36*x^3+29*x^4)/(x-1)/(2*x^2-4*x+1)/(x^4-4*x^3+5*x^2-2*x+1) lgdogf] A131039 10.9265 [-(x-1)*(2*x^2-4*x+1)/(x^4-4*x^3+5*x^2-2*x+1) ogf] A131039 5.80237 [-(181*f(x)-278)*(f(x)*x^4-4*f(x)*x^3+5*f(x)*x^2+2*x^3-2*f(x)*x-6*x^2+f(x)+5*x-1) ogf] A131040 14.5299 [-(6*x-1)/(3*x^2-x+1) ogf] A131040 18.0205 [-1/6*(-1-x+(1-22*x-11*x^2)^(1/2))/(2+x) revogf] A131040 19.5222 [-(-5-6*x+18*x^2)/(6*x-1)/(3*x^2-x+1) lgdogf] A131040 7.18513 [-(11*f(x)-36)*(3*f(x)*x^2-f(x)*x+f(x)+6*x-1) ogf] A131040 7.97374 [{-a(n+2)+a(n+1)-3*a(n),a(0)=1,a(1)=-5} ogf] A131041 10.8105 [-(2*x^3+x-1)/(x^4+x^2-2*x+1) ogf] A131041 12.4435 [-(1-2*x+x^4+4*x^3-5*x^2+2*x^6)/(2*x^3+x-1)/(x^4+x^2-2*x+1) lgdogf] A131041 5.31807 [{a(n+4)-2*a(n+3)+a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=-1} ogf] A131041 5.83576 [(17*f(x)-72)*(f(x)*x^4+f(x)*x^2+2*x^3-2*f(x)*x+f(x)+x-1) ogf] A131042 10.5659 [(x^5+2*x^4-x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A131042 7.22126 [-(2+6*x+11*x^3+10*x^4+12*x^5+10*x^6+12*x^7-x^8+7*x^9+x^2+2*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4-x^3+2*x^2+x+1) lgdogf] A131051 14.1564 [(x^2+1)/(2*x-1)/(x-1) ogf] A131051 17.8929 [-(-3+2*x+3*x^2)/(x-1)/(-1+2*x)/(1+x^2) lgdogf] A131051 6.80065 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=8} ogf] A131051 7.79399 [(7*f(x)+2)*(2*f(x)*x^2-3*f(x)*x-x^2+f(x)-1) ogf] A131055 13.0160 [(x^3-x^2+x+1)/(x+1)/(x-1)^2 ogf] A131055 22.0249 [-2*(1+x+2*x^2)/(x-1)/(x+1)/(x^3-x^2+x+1) lgdogf] A131055 6.80380 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=4} ogf] A131055 9.25876 [f(x)*x^3-f(x)*x^2-x^3-f(x)*x+x^2+f(x)-x-1 ogf] A131056 10.7923 [-(-3+4*x)*(2*x^2-2*x+1)/(x-1)/(2*x-1)/(2*x^3-2*x+1) lgdogf] A131056 4.23751 [{a(n+4)-5*a(n+3)+8*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=17} ogf] A131056 4.90077 [-(f(x)+9)*(4*f(x)*x^3-8*f(x)*x^2+2*x^3+5*f(x)*x-f(x)-2*x+1) ogf] A131056 9.23916 [-(2*x^3-2*x+1)/(x-1)/(2*x-1)^2 ogf] A131064 11.0957 [-(5*x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A131064 14.1114 [-2*(-1-x+5*x^3+x^2)/(x-1)/(2*x-1)/(1-2*x+5*x^2) lgdogf] A131064 5.78494 [-(29*f(x)-21)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+5*x^2-f(x)-2*x+1) ogf] A131064 6.04321 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A131066 11.1515 [-(6*x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A131066 13.0713 [-2*(-1-2*x+6*x^3+2*x^2)/(x-1)/(2*x-1)/(6*x^2-2*x+1) lgdogf] A131066 5.91513 [(169*f(x)-154)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+6*x^2-f(x)-2*x+1) ogf] A131066 6.07357 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=9} ogf] A131068 11.2630 [-(7*x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A131068 12.9507 [-2*(-1-3*x+7*x^3+3*x^2)/(x-1)/(-1+2*x)/(7*x^2-2*x+1) lgdogf] A131068 5.87215 [-(29*f(x)-32)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+7*x^2-f(x)-2*x+1) ogf] A131068 6.08002 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A131075 5.72156 [-(2-16*x+74*x^6+112*x^4-96*x^3-100*x^5+53*x^2-40*x^7+12*x^8)/(-1+2*x)/(3*x^4-5*x^3+6*x^2-4*x+1)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A131075 7.35724 [-(3*x^4-5*x^3+6*x^2-4*x+1)/(2*x-1)/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A131076 3.95803 [-(x^8-5*x^7+10*x^6-10*x^5+2*x^4+4*x^3-6*x^2+4*x-1)/(2*x-1)/(x-1)/(2*x^4-4*x^3+6*x^2-4*x+1)/(x^4+1) ogf] A131078 20.2510 [-1/(x-1)/(x^4+1) ogf] A131078 25.7844 [x^7-x^3+1 ogf_with_Euler_transform] A131078 31.3767 [-(-4*x^3+1+5*x^4)/(x-1)/(1+x^4) lgdogf] A131079 12.4583 [-(x^4-x^3+2)/(x-1)/(x^4+1) ogf] A131079 15.6883 [-(2+x^6+7*x^4-2*x^3-3*x^2-2*x^7+x^8)/(x-1)/(x^4-x^3+2)/(1+x^4) lgdogf] A131080 11.9218 [-(3*x^4-2*x^3-x^2+4)/(x-1)/(x^4+1) ogf] A131080 12.6322 [-(4-2*x-x^6+11*x^4+2*x^5-5*x^2-4*x^7+3*x^8)/(x-1)/(3*x^4-2*x^3-x^2+4)/(1+x^4) lgdogf] A131081 10.9290 [-(7-6*x-6*x^6+22*x^4+2*x^3+2*x^5-6*x^2-6*x^7+7*x^8)/(x-1)/(7*x^4-3*x^3-3*x^2-x+8)/(1+x^4) lgdogf] A131081 12.0882 [-(7*x^4-3*x^3-3*x^2-x+8)/(x-1)/(x^4+1) ogf] A131082 11.9464 [-(15*x^4-4*x^3-6*x^2-4*x+15)/(x-1)/(x^4+1) ogf] A131082 9.54682 [-(11-12*x-14*x^6+42*x^4+8*x^3-4*x^5-6*x^2-8*x^7+15*x^8)/(x-1)/(15*x^4-4*x^3-6*x^2-4*x+15)/(1+x^4) lgdogf] A131083 11.5231 [-2*(15*x^4-2*x^3-5*x^2-5*x+13)/(x-1)/(x^4+1) ogf] A131083 9.54004 [-(8-10*x-13*x^6+35*x^4+12*x^3-10*x^5-x^2-4*x^7+15*x^8)/(x-1)/(15*x^4-2*x^3-5*x^2-5*x+13)/(1+x^4) lgdogf] A131090 11.1036 [-x*(x-1)^2/(x+1)/(2*x-1)/(x^2-x+1) ogf] A131090 14.0123 [-x*(x-2)*(4*x^2-x+1)/(x-1)/(-1+2*x)/(x+1)/(x^2-x+1) lgdogf] A131090 5.91587 [{-a(n+4)+2*a(n+3)-a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=1} ogf] A131090 6.50212 [-f(x)*(2*f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x-2*x^2-f(x)+x) ogf] A131091 6.29605 [-2*(2*x+9*x^12-14*x^6-15*x^4-2*x^3+33*x^5+6*x^2-4*x^7+10*x^9+3*x^10-9*x^11+1)/(x-1)/(1+x^2)/(9*x^6-6*x^5+4*x^3+2*x^2+1)/(x^4-x^2+1) lgdogf] A131091 8.66963 [(9*x^6-6*x^5+4*x^3+2*x^2+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A131092 4.89615 [{(n^3+12*n^2+48*n+64)*a(n+1)+(-n-2)*a(n+2),a(0)=4,a(1)=108} ogf] A131093 5.72020 [-(2+6*x+8*x^7+10*x^6-6*x^5+21*x^2+32*x^3+25*x^4+x^10+9*x^8+4*x^9)/(x-1)/(x^4+3*x^3+6*x^2+3*x+1)/(x^6-10*x^3+1) lgdogf] A131093 7.83935 [-(x-1)*(x^4+3*x^3+6*x^2+3*x+1)/(x^6-10*x^3+1) ogf] A131098 16.9089 [(2*x^2+x+1)/(x-1)^2 ogf] A131098 33.8356 [-(3+5*x)/(x-1)/(2*x^2+x+1) lgdogf] A131098 8.78598 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=7} ogf] A131098 9.63624 [(1+8*f(x))*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)-x-1) ogf] A131118 10.6110 [-x*(-2+5*x^5+4*x^4+12*x^3+2*x^2-x)/(-1+x)/(x+1)/(1+x^2)/(x^3+x^2+2*x+1) lgdogf] A131118 5.99261 [-x^2*(x^3+x^2+2*x+1)/(x-1)/(x^2+1)^2/(x+1)^3 ogf] A131119 8.23960 [-(-1+9*x+4*x^2)/(-1+x)/(2+x)/(x+1) lgdogf] A131123 99.9999 Evaluated at exp(-Pi) 2*exp(-Pi)*2^(1/2)*(2+2^(1/2))^2 A131124 8.37930 [-(4*x^4+2*x^3+2*x+4)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] A131124 99.9999 Evaluated at exp(-Pi) 4*exp(-Pi)*2^(1/2)*(2+2^(1/2)) A131125 6.42290 [-(-4*x^5+2*x^4-2*x^3+2*x^2-2*x+4)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A131125 99.9999 Evaluated at exp(-Pi) 8*exp(-Pi)*(2+2^(1/2)) A131126 99.9999 Evaluated at exp(-Pi) 1/4*(2+2^(1/2))*2^(1/2) A131128 13.1528 [(4*x^2-x+1)/(2*x-1)/(x-1) ogf] A131128 15.5310 [-2*(-1-2*x+5*x^2)/(x-1)/(-1+2*x)/(4*x^2-x+1) lgdogf] A131128 6.83431 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A131128 7.49569 [(-3+5*f(x))*(2*f(x)*x^2-3*f(x)*x-4*x^2+f(x)+x-1) ogf] A131130 12.7064 [(6*x^2-x+1)/(2*x-1)/(x-1) ogf] A131130 14.9962 [-2*(-1-4*x+8*x^2)/(x-1)/(-1+2*x)/(6*x^2-x+1) lgdogf] A131130 6.53823 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=10} ogf] A131130 6.80239 [-(23*f(x)-25)*(2*f(x)*x^2-3*f(x)*x-6*x^2+f(x)+x-1) ogf] A131132 11.6547 [-(-1-2*x+7*x^6-6*x^5+8*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A131132 15.4515 [1/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A131174 13.2279 [-x^2*(x+2)/(x-1)^3/(x+1)^3 ogf] A131174 25.8067 [-(1+12*x+5*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A131174 5.65665 [{(3*n^2+31*n+76)*a(n+1)+8*a(n+2)+(-3*n^2-19*n-16)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A131176 12.5470 [-(-1+11*x+x^5+20*x^2+40*x^3+x^4)/(x-1)/(x^5-2*x^4+16*x^3-7*x^2+5*x-1) lgdogf] A131176 7.72586 [(x^5-2*x^4+16*x^3-7*x^2+5*x-1)/(x-1)^6 ogf] A131179 15.7355 [-(3+5*x+4*x^4-x^3+13*x^2)/(x-1)/(x+1)/(2*x^3-x^2+2*x+1) lgdogf] A131179 9.85984 [-x*(2*x^3-x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A131185 10.3347 [-(-1-5*x^6+12*x^3+12*x^5-3*x^2-3*x^8+6*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(3*x^4-x^3-x+2) lgdogf] A131185 11.2864 [-x*(3*x^4-x^3-x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131186 7.60005 [-x*(x^5+3*x^4-x^3-x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^4-x^2+1) ogf] A131186 7.90795 [-(2+5*x^6-6*x^4+12*x^3-12*x^5+2*x^2+12*x^7-7*x^8-4*x^9+9*x^10+2*x^11)/(x-1)/(x^2+x+1)/(x^5+3*x^4-x^3-x^2+2*x+1)/(x^4-x^2+1) lgdogf] A131189 8.69937 [(12*x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A131191 7.20752 [(15*x^10+11*x^9+11*x^8+11*x^7+11*x^6+11*x^5+11*x^4+11*x^3+11*x^2+11*x+7)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A131193 15.1581 [-3*(-1-x-x^2-x^3-x^4+x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A131193 25.2758 [[x^5-3] ogf_with_Euler_transform] A131193 7.82231 [x*(x-1)^2/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131201 8.10288 [x*(x^2+1)*(x^8+8*x^7+4*x^6+5*x^4+4*x^2+2*x+1)/(x^4+1)/(x^8-x^4+1) ogf] A131207 4.49275 [x*(7*x^28+7*x^27-x^26-8*x^25-8*x^24-64*x^12-8*x^2-8*x-8)/(7*x^26-8*x^24-8)/(x^2+x+1)/(x-1)^2 ogf] A131209 11.6003 [-x*(x^4-2*x^3+2*x^2-x-1)/(x-1)^2 ogf] A131209 15.7381 [(3-3*x+2*x^4-6*x^3+6*x^2)/(x-1)/(x^4-2*x^3+2*x^2-x-1) lgdogf] A131211 14.5596 [-(-1+7*x+x^5+20*x^3-3*x^4)/(x-1)/(x^5-4*x^4+12*x^3-9*x^2+5*x-1) lgdogf] A131211 8.15013 [(x^5-4*x^4+12*x^3-9*x^2+5*x-1)/(x-1)^6 ogf] A131215 3.5709 [(31372288848*f(x)-160621003)*(f(x)*x^3-399*f(x)*x^2+399*f(x)*x+x^2-f(x)+207*x+1) ogf] A131215 3.91929 [{a(n+3)-399*a(n+2)+399*a(n+1)-a(n),a(0)=1,a(1)=606,a(2)=241396} ogf] A131215 7.19512 [-(x^2+207*x+1)/(x-1)/(x^2-398*x+1) ogf] A131216 11.3214 [-1/2*(-11-20*x+(121+396*x+396*x^2)^(1/2))/(11+x) revogf] A131216 11.5525 [-11*(x-1)/(x^2-20*x+1) ogf] A131216 16.9821 [-(19-2*x+x^2)/(x-1)/(x^2-20*x+1) lgdogf] A131216 5.77623 [-(378*f(x)-187)*(f(x)*x^2-20*f(x)*x+f(x)+11*x-11) ogf] A131216 6.44788 [{a(n+2)-20*a(n+1)+a(n),a(0)=11,a(1)=209} ogf] A131229 13.8524 [(3*x^2+6*x+1)/(x+1)/(x-1)^2 ogf] A131229 17.2672 [-(7+15*x+3*x^3+15*x^2)/(x-1)/(x+1)/(3*x^2+6*x+1) lgdogf] A131229 7.161 [-(210*f(x)-79)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-6*x-1) ogf] A131229 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=11} ogf] A131242 13.6269 [-x^10/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A131242 9.51734 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+6*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A131244 4.59624 [(3*f(x)-1)*(f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x+2*x^2+f(x)-x-1) ogf] A131244 8.17773 [-(x^3+2*x^2-x-1)/(x^4+3*x^3-2*x^2-2*x+1) ogf] A131244 8.55855 [-(3+x^6+4*x^5-6*x^3+5*x^4-6*x^2)/(x^3+2*x^2-x-1)/(x^4+3*x^3-2*x^2-2*x+1) lgdogf] A131246 4.60788 [-(f(x)+3)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x+f(x)-2*x-1) ogf] A131246 8.88187 [-(x+1)*(x^2-x-1)/(x^4+x^3-3*x^2-x+1) ogf] A131246 9.98966 [-(3+6*x-6*x^3-3*x^4+x^6)/(x+1)/(x^2-x-1)/(x^4+x^3-3*x^2-x+1) lgdogf] A131259 14.4601 [x^2*(2*x-1)/(x-1)^3/(x+1)^3 ogf] A131259 29.4587 [-2*(1-3*x+5*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A131259 6.30810 [{(3*n^2+11*n-4)*a(n+1)+8*a(n+2)+(-3*n^2+n+4)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A131269 10.4404 [-(2*x^3-x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A131269 4.46615 [{(-n-2)*a(n+1)-a(n+2)+(2*n+3)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A131269 5.86793 [(4*f(x)-5)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A131282 13.5794 [-(5*x^5+4*x^4+3*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131282 7.42502 [-(2+6*x+10*x^6+25*x^4+16*x^3+6*x^5+9*x^2+12*x^7+9*x^8+8*x^9+5*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(5*x^5+4*x^4+3*x^3+3*x^2+2*x+1) lgdogf] A131283 4.21150 [x^2*(x^7+x^6+2*x^5+x^3-3*x^2-2*x-1)/(2*x-1)/(x^10+x^8-2*x^5-x^3-x+1) ogf] A131289 10.2642 [-(-1-6*x^9+12*x^7-6*x+6*x^5-9*x^8+5*x^6+9*x^2+x^10+12*x^3-5*x^4)/(x-1)/(x^2+1)/(x^4-2*x^3-5*x^2-2*x-1)/(x^4-x^2+1) lgdogf] A131289 13.1146 [(x-1)*(x^4-2*x^3-5*x^2-2*x-1)/(x^2+1)/(x^4-x^2+1) ogf] A131290 11.5044 [-(x^3-2*x^2+x+1)/(x-1)/(x^2-x+1) ogf] A131290 19.3480 [(-3+8*x+2*x^3-8*x^2)/(x-1)/(x^2-x+1)/(x^3-2*x^2+x+1) lgdogf] A131290 6.05955 [{a(n+4)-2*a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=2,a(3)=0} ogf] A131290 6.61501 [(9*f(x)-65)*(f(x)*x^3-2*f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)+x+1) ogf] A131291 9.75361 [-(5*x^8+4*x^7+5*x^6+3*x^5+4*x^4+3*x^3+5*x^2+4*x+5)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A131292 11.0286 [(2*x^3-x^2-x+1)*(x+1)^2/(3*x^4-3*x^2+1) ogf] A131292 13.0755 [(1+x+6*x^7-9*x^5-6*x^6-x^2+x^3+3*x^4)/(x+1)/(2*x^3-x^2-x+1)/(3*x^4-3*x^2+1) lgdogf] A131294 12.7074 [(-1-4*x+2*x^6-2*x^4-10*x^3-9*x^2)/(x-1)/(x^2+x+1)/(2*x^4+2*x^3+2*x^2+x+1) lgdogf] A131294 13.6447 [-x*(2*x^4+2*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1) ogf] A131295 7.29833 [-x*(3*x^8+3*x^6+x^5+4*x^4+x^3+2*x^2+1)/(x-1)/(x^2+1)/(x^4+1) ogf] A131296 7.79529 [(-1-2*x+19*x^6+4*x^4-10*x^3-28*x^5-4*x^2-18*x^7+8*x^8-8*x^9+4*x^10)/(x-1)/(x^2+x+1)/(x^2-x+1)/(4*x^6+4*x^4+x^3+2*x^2+1) lgdogf] A131296 9.70602 [-x*(4*x^6+4*x^4+x^3+2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A131298 7.92871 [-(1+2*x+3*x^6+4*x^5-5*x^4-8*x^3+x^2)/(-1+x)/(x+1)/(x^2+x-1)/(x^3+x^2-1) lgdogf] A131298 8.87575 [-(x-1)*(x+1)/(x^2+x-1)/(x^3+x^2-1) ogf] A131300 10.6766 [-(3*x^3-x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A131300 4.56719 [{(-n-2)*a(n+1)-a(n+2)+(2*n+3)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=7} ogf] A131300 6.00069 [(3*f(x)-5)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A131308 11.4369 [-(2+4*x+12*x^5+14*x^4+16*x^3+3*x^2+5*x^6)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2+2*x+2) lgdogf] A131308 13.2832 [x*(x^3+2*x^2+2*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A131322 10.1963 [-(x-1)*(x+1)/(x^4+x^3-3*x^2-x+1) ogf] A131322 5.13767 [-(7*f(x)-2)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A131326 11.5981 [-(x^2-2*x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A131326 6.10892 [(43*f(x)-70)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-2*x-1) ogf] A131328 11.8090 [-(x^2-3*x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A131328 6.12646 [(101*f(x)-216)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-3*x-1) ogf] A131352 11.0400 [-(2*x^3-2*x^2+2*x-1)/(2*x-1)^2 ogf] A131352 14.3442 [2*(2*x+1)*(x-1)^2/(-1+2*x)/(2*x^3-2*x^2+2*x-1) lgdogf] A131352 5.85598 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=6,a(3)=14} ogf] A131352 6.60232 [(3*f(x)+13)*(4*f(x)*x^2+2*x^3-4*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A131355 12.7679 [-(1+x+2*x^5+6*x^4+4*x^3+4*x^2)/(x-1)/(x+1)/(2*x^4+2*x^3-2*x^2+1) lgdogf] A131355 9.36233 [-(2*x^4+2*x^3-2*x^2+1)/(x+1)^2/(x-1)^3 ogf] A131358 22.4091 [-2*x^2*(x^3+3+x+x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A131358 29.8727 [[-x^3+2*x^2] ogf_with_Euler_transform] A131358 9.75801 [-x*(x+1)*(x^2+1)/(x-1)/(x^2+x+1)^2 ogf] A131360 14.1782 [-2*x^2*(2*x^4-3*x^2+3*x+3*x^3+3)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2-x+1) lgdogf] A131360 6.90085 [x^3*(x^3+x^2-x+1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A131369 9.64035 [-(5*x^8+4*x^7+5*x^6+4*x^5+3*x^4+4*x^3+5*x^2+4*x+5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A131370 11.6597 [-2*(1-6*x-14*x^3+3*x^4+15*x^2)/(2*x-1)/(3*x^2-7*x+3)/(x^2-x+1) lgdogf] A131370 11.9665 [-(3*x^2-7*x+3)/(2*x-1)/(x^2-x+1) ogf] A131370 6.34745 [-(f(x)-3)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-7*x+3) ogf] A131370 6.57619 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=3,a(1)=2,a(2)=0} ogf] A131372 10.0205 [-(x^2-x+1)*(x^4-x^2+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A131372 14.1211 [-x^11+x^6+x^3+x^2-1 ogf_with_Euler_transform] A131379 11.8232 [-(x^3-x^2+1)/(x-1)/(x+1)/(x^2+1) ogf] A131379 5.47184 [-x*(-2+x^5-2*x^4+4*x^2+3*x)/(-1+x)/(x+1)/(x^2+1)/(x^3-x^2+1) lgdogf] A131379 7.45988 [-(2*f(x)-17)*(f(x)*x^4+x^3-x^2-f(x)+1) ogf] A131380 13.9055 [x*(x^2-x+2)/(x^2+x+1)/(x-1)^2 ogf] A131380 17.1335 [-(1+3*x+8*x^2+2*x^4-2*x^3)/(x-1)/(x^2+x+1)/(x^2-x+2) lgdogf] A131380 5.54512 [{(2*n+7)*a(n+1)+2*a(n+2)+2*a(n+3)+(-2*n-5)*a(n+4),a(0)=0,a(1)=2,a(2)=1,a(3)=2} ogf] A131380 7.59541 [(136*f(x)+259)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+x^2+f(x)-2*x) ogf] A131386 15.1314 [(3*x+1)/(x+1)^3 ogf] A131386 49.1176 [-6*x/(x+1)/(3*x+1) lgdogf] A131386 7.22490 [{a(n+3)+3*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=-3} ogf] A131386 7.495 [(172*f(x)+557)*(f(x)*x^3+3*f(x)*x^2+3*f(x)*x+f(x)-3*x-1) ogf] A131423 11.6464 [-(x^2-4*x-1)/(x-1)^4 ogf] A131423 23.0691 [-2*(-4-5*x+x^2)/(x-1)/(x^2-4*x-1) lgdogf] A131423 4.03819 [{(-n-4)*a(n+4)+(-1-3*n)*a(n+3)+(20+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=8,a(2)=25,a(3)=56} ogf] A131423 5.90882 [(2760*f(x)+11567)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-4*x-1) ogf] A131428 3.62418 [{(4*n^2+14*n+12)*a(n+1)+(-5*n^2-19*n-16)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A131428 5.16082 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+4*f(x)*x^2-6*f(x)*x-4*x^2+2*f(x)+5*x-2 ogf] A131435 2.69482 [-(x+1)*(2*x+1)/(4*x^5-13*x^4+3*x^3+15*x^2+3*x-1) ogf] A131438 3.90024 [(213*f(x)+65873)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+6*x^2+f(x)-2*x-1) ogf] A131438 7.52583 [-(6*x^2-2*x-1)/(2*x-1)^2/(x-1)^2 ogf] A131439 5.15212 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=7,a(2)=14,a(3)=18} ogf] A131439 5.53376 [-(16*f(x)+719)*(f(x)*x^2+3*x^3-2*f(x)*x-x^2+f(x)-5*x-1) ogf] A131439 9.79748 [-(x+1)*(3*x^2-4*x-1)/(x-1)^2 ogf] A131441 12.0664 [-10+30*x+(9-32*x+20*x^2)*f(x)+(-8*x^2-2+8*x)*f(x)^2 lgdegf] A131441 4.04099 [{(-4*n^2-18*n-20)*a(n+1)+(4*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A131451 9.48600 [-8+(12-12*x)*f(x)+(-6+12*x-6*x^2)*f(x)^2+(-3*x+3*x^2-x^3+1)*f(x)^3 lgdegf] A131452 13.8169 [x*(3*x^2-x+2)/(x^2+x+1)/(x-1)^2 ogf] A131452 18.0667 [-(1+7*x+10*x^2+6*x^4)/(x-1)/(x^2+x+1)/(3*x^2-x+2) lgdogf] A131452 5.47623 [{(4*n+11)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-7)*a(n+4),a(0)=0,a(1)=2,a(2)=1,a(3)=4} ogf] A131452 7.36147 [(5336*f(x)+13783)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x+x^2+f(x)-2*x) ogf] A131464 10.5210 [(x^3+6*x^2+15*x+2)/(x-1)^4 ogf] A131464 17.5214 [-(23+57*x+15*x^2+x^3)/(x-1)/(x^3+6*x^2+15*x+2) lgdogf] A131464 4.16567 [{(-67*n^2-349*n-430)*a(n+1)+(-146*n^2-1648*n-3770)*a(n+2)+(213*n^2+1157*n+1554)*a(n+3),a(0)=2,a(1)=23,a(2)=86} ogf] A131464 5.50764 [(256768*f(x)+2362471)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-6*x^2+f(x)-15*x-2) ogf] A131465 6.90302 [-(11*x^4+44*x^3+42*x^2-2*x+1)/(x-1)^5 ogf] A131465 9.89194 [-(3+76*x+258*x^2+132*x^3+11*x^4)/(x-1)/(11*x^4+44*x^3+42*x^2-2*x+1) lgdogf] A131466 6.66357 [-(15*x^4+54*x^3+52*x^2-2*x+1)/(x-1)^5 ogf] A131466 9.54367 [-3*(1+32*x+106*x^2+56*x^3+5*x^4)/(x-1)/(15*x^4+54*x^3+52*x^2-2*x+1) lgdogf] A131471 10.5176 [-(17+127*x+2*x^4+37*x^3+177*x^2)/(x-1)/(x^4+11*x^3+36*x^2+11*x+1) lgdogf] A131471 6.25086 [2*x*(x^4+11*x^3+36*x^2+11*x+1)/(x-1)^6 ogf] A131472 5.46627 [-2*x*(31*x^4+146*x^3+156*x^2+26*x+1)/(x-1)^7 ogf] A131472 8.95221 [-3*(11+156*x+31*x^4+236*x^3+406*x^2)/(x-1)/(31*x^4+146*x^3+156*x^2+26*x+1) lgdogf] A131473 5.24220 [-2*x^2*(x^4+26*x^3+156*x^2+146*x+31)/(x-1)^7 ogf] A131473 9.55316 [-3*(121+396*x+x^4+36*x^3+286*x^2)/(x-1)/(31+146*x+156*x^2+26*x^3+x^4) lgdogf] A131474 6.38381 [x*(2*x^4+3*x^3+5*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A131474 9.86330 [-2*(1+9*x+10*x^2+18*x^3+7*x^4+3*x^5)/(x-1)/(x+1)/(2*x^4+3*x^3+5*x^2+x+1) lgdogf] A131475 12.5479 [-2*(1+7*x+6*x^2+8*x^3+2*x^4)/(x-1)/(x+1)/(x^3+3*x^2+x+1) lgdogf] A131475 6.51520 [2*x^2*(x^3+3*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A131476 13.3587 [-3*(x+1)*(x^4+6*x^2+2*x+3)/(x-1)/(x^2+x+1)/(x^3+3*x+2) lgdogf] A131476 7.83705 [x^2*(x^3+3*x+2)/(x^2+x+1)/(x-1)^4 ogf] A131477 11.6350 [-3*(1+x^2)*(2*x^3+6*x^2+3*x+1)/(x-1)/(x^2+x+1)/(2*x^3+3*x^2+1) lgdogf] A131477 8.23127 [x*(2*x^3+3*x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A131478 11.2129 [-2*(2+13*x+20*x^2+22*x^3+2*x^4+x^5)/(x-1)/(x+1)/(x^4+10*x^2+1) lgdogf] A131478 4.25273 [{(-n^2-6*n-10)*a(n+1)+(-4*n-8)*a(n+2)+(n^2+2*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A131478 8.60918 [-x*(x^4+10*x^2+1)/(x+1)/(x-1)^5 ogf] A131479 16.1675 [-(5+12*x+9*x^2+4*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A131479 27.8740 [-x^2+x+5 ogf_with_Euler_transform] A131479 8.26318 [-4*x^2*(x^2+x+1)/(x+1)/(x-1)^5 ogf] A131498 8.02813 [-(2*x^8+3*x^7-3*x^6-2*x^5-5*x^4+x^3+3*x^2+2*x+3)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A131505 10.8876 [x*(x^3-x^2+2*x-1)/(x-1)^2/(x^2+1)^2 ogf] A131505 19.5132 [-x*(4+3*x^4-9*x+11*x^2-5*x^3)/(x-1)/(1+x^2)/(x^3-x^2+2*x-1) lgdogf] A131508 12.5212 [-(1+2*x+6*x^5+7*x^4+16*x^3+3*x^2+5*x^6)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+x+2) lgdogf] A131508 12.5814 [x^3*(x^3+x^2+x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A131509 6.23103 [-(5*x^5+53*x^4+38*x^3+26*x^2-3*x+1)/(x-1)^7 ogf] A131509 7.89855 [-2*(2+17*x+122*x^2+182*x^3+92*x^4+5*x^5)/(x-1)/(5*x^5+53*x^4+38*x^3+26*x^2-3*x+1) lgdogf] A131515 10.1124 [-(20*x^2-19*x+1)/(x-1)/(x^2-34*x+1) ogf] A131515 5.09539 [(35847404*f(x)-19865277)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+20*x^2-f(x)-19*x+1) ogf] A131515 5.61799 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=545} ogf] A131519 11.9817 [-6*(1+2*x)*(2*x^2+2*x-1)/(2*x-1)/(6*x^2+3*x-1)/(24*x^3-11*x+1) lgdogf] A131519 13.4829 [(2*x-1)*(6*x^2+3*x-1)/(24*x^3-11*x+1) ogf] A131519 6.34488 [{-a(n+4)+11*a(n+3)-24*a(n+1),a(0)=1,a(1)=6,a(2)=66,a(3)=714} ogf] A131519 7.86502 [(-5+9*f(x))*(24*f(x)*x^3-12*x^3-11*f(x)*x+f(x)+5*x-1) ogf] A131520 11.3153 [2*(x^2+x-1)/(2*x-1)/(x-1)^2 ogf] A131520 15.3749 [-(3-9*x+2*x^3+6*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A131520 5.95027 [-(f(x)+34)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-2*x^2-f(x)-2*x+2) ogf] A131520 6.10825 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=6,a(2)=12} ogf] A131521 10.2205 [-10*(-5+180*x+4*(1-36*x)^(1/2))/(100*x-1)/(-1+36*x) lgdogf] A131521 13.3653 [1/9*(4-50*x+5*(1-16*x+100*x^2)^(1/2))*x revogf] A131521 3.26587 [{(-3600*n-5400)*a(n+1)+(136*n+354)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=10,a(2)=190} ogf] A131521 9.33925 [-100*f(x)^2*x+f(x)^2+8*f(x)-9 ogf] A131524 14.0695 [x^2/(x-1)/(x^4+x^2-1) ogf] A131524 17.6476 [-(-1-2*x+5*x^4-4*x^3+3*x^2)/(x-1)/(x^4+x^2-1) lgdogf] A131531 19.4905 [x^2/(x+1)/(x^2-x+1) ogf] A131531 22.5543 [x^5-x^2 ogf_with_Euler_transform] A131531 40.6961 [-3*x^2/(x+1)/(x^2-x+1) lgdogf] A131531 7.63816 [{a(n+3)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A131531 9.58006 [f(x)*(f(x)*x^3-x^2+f(x)) ogf] A131532 11.5941 [-x^4/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A131532 18.3524 [-(-2*x+3*x^2-4*x^3+1+5*x^4)/(x-1)/(x+1+x^2)/(x^2-x+1) lgdogf] A131532 22.7415 [[x^5-x+1] ogf_with_Euler_transform] A131532 4.89528 [-f(x)*(f(x)*x^5-f(x)*x^4+f(x)*x^3+x^4-f(x)*x^2+f(x)*x-f(x)) ogf] A131533 10.7354 [x^4/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131533 20.0066 [-(2*x+3*x^2+4*x^3+1+5*x^4)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A131533 26.1399 [[x^5-1] ogf_with_Euler_transform] A131533 4.99892 [f(x)*(f(x)*x^5+f(x)*x^4+f(x)*x^3-x^4+f(x)*x^2+f(x)*x+f(x)) ogf] A131534 13.0433 [{a(n+3)-a(n),a(0)=1,a(1)=2,a(2)=1} ogf] A131534 13.9619 [-f(x)*(f(x)*x^3+x^2-f(x)+2*x+1) ogf] A131534 20.2305 [-(x+1)^2/(x-1)/(x^2+x+1) ogf] A131534 27.0188 [-(2+x^3+3*x^2)/(x-1)/(x+1)/(x+1+x^2) lgdogf] A131534 34.1122 [1/2*(x-2)^2 egf]_with_Euler_transform] A131554 6.67621 [(f(x)-1)*(f(x)*x^5-x^4+x^3-x^2-f(x)+x+1) ogf] A131554 7.79670 [-(-1+2*x+3*x^6-4*x^5-2*x^7-5*x^4+4*x^3+x^8-3*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x-1) lgdogf] A131554 9.34671 [(x^4-x^3+x^2-x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A131555 10.6981 [-x^2*(2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A131555 13.5094 [-(1+2*x+6*x^6+7*x^4-4*x^3-4*x^5+x^2)/(x-1)/(1+2*x^2)/(x+1+x^2)/(x^2-x+1) lgdogf] A131555 6.59001 [-f(x)*x^5+f(x)*x^4-f(x)*x^3-2*x^4+f(x)*x^2-f(x)*x-x^2+f(x) ogf] A131556 11.7112 [{a(n+3)+a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A131556 12.5359 [-f(x)*(f(x)*x^3-x^2+f(x)+2*x-1) ogf] A131556 18.1642 [(x-1)^2/(x+1)/(x^2-x+1) ogf] A131556 29.4832 [-(-2-3*x^2+x^3)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A131556 30.6209 [x^5-x^2-2 ogf_with_Euler_transform] A131557 6.71792 [-5*(2*x^4-635*x^2+486*x+11)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A131561 13.2684 [-(f(x)-1)*(f(x)*x^3-x^2-f(x)+x+1) ogf] A131561 13.7922 [{-a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A131561 21.3920 [(x^2-x-1)/(x-1)/(x^2+x+1) ogf] A131561 23.5024 [-(-1+2*x-3*x^2-2*x^3+x^4)/(x-1)/(x^2+x+1)/(x^2-x-1) lgdogf] A131562 12.0821 [-(x^2-x-1)/(2*x+1)/(x^2+x+1) ogf] A131562 14.4973 [-2*(x+1)*(x^3-3*x^2-3*x-1)/(2*x+1)/(x^2+x+1)/(x^2-x-1) lgdogf] A131562 6.40878 [-(f(x)-1)*(2*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+x^2+f(x)-x-1) ogf] A131562 6.58044 [{-a(n+3)-3*a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A131569 6.00092 [-2*(1-8*x^2+10*x^3-5*x^4-5*x^5+x^9+12*x^6-4*x^8)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-2*x^3-2*x^2+2*x-1) lgdogf] A131569 7.43473 [-(x^4-2*x^3-2*x^2+2*x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A131572 10.8225 [-f(x)*(2*f(x)*x^2+2*x^2-f(x)+x) ogf] A131572 16.1135 [-x*(2*x+1)/(2*x^2-1) ogf] A131572 20.9969 [1/4*(-1+(1+8*x+8*x^2)^(1/2))/(1+x) revogf] A131572 20.9969 [-2*(1+2*x^2+2*x)/(2*x+1)/(2*x^2-1) lgdogf] A131572 8.73624 [{a(n+3)-2*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A131575 10.9412 [2*f(x)*x^2-2*x^2-f(x)+x+1 ogf] A131575 11.8343 [(2*x+1)*(x-1)/(2*x^2-1) ogf] A131575 19.3446 [(1+2*x^2)/(-1+x)/(2*x+1)/(2*x^2-1) lgdogf] A131575 6.98652 [{a(n+3)-2*a(n+1),a(0)=1,a(1)=1,a(2)=0} ogf] A131577 11.2670 [{-a(n+2)+2*a(n+1),a(0)=0,a(1)=1} ogf] A131577 13.5585 [-f(x)*(2*f(x)*x-f(x)+x) ogf] A131577 27.5846 [-x/(2*x-1) ogf] A131577 60.7144 [1/2*ln(1+2*x) revegf] A131577 71.7534 [-2/(-1+2*x) lgdogf] A131579 9.21667 [-x*(7*x^8+4*x^7+x^6+8*x^5+5*x^4+2*x^3+9*x^2+6*x+3)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A131588 11.2964 [(2*x^3-2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A131588 6.8623 [-(58*f(x)+63)*(4*f(x)*x^4-5*f(x)*x^2-2*x^3+2*x^2+f(x)-x-1) ogf] A131588 8.09305 [-(-1-6*x+8*x^6-16*x^5+22*x^4+16*x^3-11*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^3-2*x^2+x+1) lgdogf] A131589 12.7790 [-(2*x^2+9*x+3)/(x+1)/(x^2+3*x+1) ogf] A131589 13.4545 [-(3+20*x+37*x^2+18*x^3+2*x^4)/(x+1)/(x^2+3*x+1)/(2*x^2+9*x+3) lgdogf] A131589 6.83785 [(79*f(x)-127)*(f(x)*x^3+4*f(x)*x^2+4*f(x)*x+2*x^2+f(x)+9*x+3) ogf] A131589 6.95996 [{-a(n+3)-4*a(n+2)-4*a(n+1)-a(n),a(0)=-3,a(1)=3,a(2)=-2} ogf] A131598 12.0889 [-(47*f(x)+254)*(f(x)*x^3+8*x^2-f(x)+5*x+2) ogf] A131598 13.0433 [{-a(n+3)+a(n),a(0)=2,a(1)=5,a(2)=8} ogf] A131598 16.7703 [-(5+16*x+8*x^4+10*x^3+6*x^2)/(x-1)/(x^2+x+1)/(8*x^2+5*x+2) lgdogf] A131598 20.2305 [-(8*x^2+5*x+2)/(x-1)/(x^2+x+1) ogf] A131600 13.8772 [-(18*x^2+18*x+19)/(3*x-1)/(6*x^2+2*x+1) ogf] A131600 7.83169 [(67*f(x)-1349)*(18*f(x)*x^3+f(x)*x+18*x^2-f(x)+18*x+19) ogf] A131600 8.07145 [{a(n+3)-a(n+2)-18*a(n),a(0)=19,a(1)=37,a(2)=55} ogf] A131601 13.3255 [-(48*x^2+48*x+49)/(4*x-1)/(12*x^2+3*x+1) ogf] A131601 7.44662 [(187*f(x)-9359)*(48*f(x)*x^3+f(x)*x+48*x^2-f(x)+48*x+49) ogf] A131601 7.67226 [{a(n+3)-a(n+2)-48*a(n),a(0)=49,a(1)=97,a(2)=145} ogf] A131603 20.1190 [2*(56-68*x+x^4-9*x^3+21*x^2)/(-1+x)/(x^4-14*x^3+9*x^2+118*x-115) lgdogf] A131607 3.02321 [(x^4+x^3-2*x^2+x+1)/(x-1)/(x^2+1)/(x^2+2*x-1)/(x^4-x^2+1) ogf] A131608 7.17781 [(x+1)*(x^2+x+1)*(x^2-x+1)*(9*x^6-6*x^5+4*x^3+2*x^2+1)/(x^4+1)/(x^8-x^4+1) ogf] A131640 10.5651 [-5*(182*x^3-10*x^2-10*x-197)/(x^2+x+1)/(x-1)^2 ogf] A131640 4.32998 [{(-35*n-691)*a(n+1)-35*a(n+2)-35*a(n+3)+(35*n+656)*a(n+4),a(0)=985,a(1)=1035,a(2)=1085,a(3)=1160} ogf] A131640 5.86953 [(3143*f(x)+29842144)*(f(x)*x^4-f(x)*x^3+910*x^3-f(x)*x-50*x^2+f(x)-50*x-985) ogf] A131640 8.93604 [-(-207-227*x+182*x^5+162*x^4+142*x^3-262*x^2)/(x-1)/(x^2+x+1)/(182*x^3-10*x^2-10*x-197) lgdogf] A131646 4.00142 [(8/x^3+2/x^9+2/x^11+2/x^10+998)/(x^2+x+1)*x^11 ogf_with_Euler_transform] A131649 14.9982 [(4+x^4-4*x^3+8*x^2)/(-1+x)/(x^4-2*x^3-2*x^2+2*x-2) lgdogf] A131649 5.20503 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=4,a(1)=8,a(2)=16,a(3)=32,a(4)=54} ogf] A131649 5.84076 [(27*f(x)+1522)*(f(x)*x^3-2*x^4-3*f(x)*x^2+4*x^3+3*f(x)*x+4*x^2-f(x)-4*x+4) ogf] A131649 9.93687 [2*(x^4-2*x^3-2*x^2+2*x-2)/(x-1)^3 ogf] A131662 6.09887 [(x^7+2519*x^6+9360*x^5+1441*x^4+1079*x^3+1441*x^2+9360*x+2519)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A131663 7.09608 [-(1799+3239*x+2*x^6+5037*x^4+5400*x^3+2161*x^5+2522*x^2)/(x-1)/(x+1)/(x^3+720*x^2+1079*x+720)/(1+x^2) lgdogf] A131663 9.61892 [(x^3+720*x^2+1079*x+720)/(x+1)/(x^2+1)/(x-1)^2 ogf] A131665 10.0048 [x^2*(2*x+1)*(x^2+x+1)/(3*x^4-3*x^2+1) ogf] A131665 10.4065 [-3*(-1-4*x+2*x^6+6*x^5+11*x^4+4*x^3-5*x^2)/(2*x+1)/(x+x^2+1)/(3*x^4-3*x^2+1) lgdogf] A131666 11.8317 [x^2*(x-1)/(x+1)/(2*x-1)/(x^2-x+1) ogf] A131666 12.1123 [-(2*x^2-2*x-1)*(3*x^2-2*x+1)/(x-1)/(-1+2*x)/(x+1)/(x^2-x+1) lgdogf] A131666 6.27596 [-(f(x)+1)*(2*f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)) ogf] A131667 14.9719 [-(-1-x+2*x^5+2*x^4+2*x^3+11*x^2)/(x-1)/(x^2+x+1)/(x^3+x^2+x+2) lgdogf] A131667 8.58419 [-(x^3+x^2+x+2)/(x-1)/(x^2+x+1)^2 ogf] A131668 5.94238 [(10*x^9+20*x^8+20*x^7+20*x^6+20*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x-1)/(100*x^9-1) ogf] A131669 7.47509 [-(8*x^8+6*x^7+4*x^6+2*x^5+9*x^4+7*x^3+5*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A131670 15.5721 [-x^11+x*(x^4+x^3+x^2-1) ogf_with_Euler_transform] A131670 17.0719 [-(x^4-x^2+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A131670 18.7556 [-x*(-2-3*x^5+5*x^3+4*x^2+x^7)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^2+1) lgdogf] A131670 9.23279 [(104*f(x)^2-184*f(x)+19)*(f(x)*x^5+x^4-x^2-f(x)+1) ogf] A131672 3.42878 [-(2660*x^9+3640*x^7+1210*x^5+1650*x^4+990*x^3+594*x^2+560*x+1)/(x-1) ogf] A131682 6.23103 [-(2*x^5+63*x^4+25*x^3+35*x^2-7*x+2)/(x-1)^7 ogf] A131682 9.48640 [-(7+28*x+4*x^5+199*x^4+352*x^3+250*x^2)/(x-1)/(2*x^5+63*x^4+25*x^3+35*x^2-7*x+2) lgdogf] A131683 3.27182 [-(80*x^9+7205*x^8+61625*x^7+213873*x^6+217437*x^5+93855*x^4+8635*x^3+2395*x^2-353*x+48)/(x-1)^11 ogf] A131707 12.2382 [-(9*x^6-6*x^5+4*x^3+2*x^2+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A131708 14.5227 [(x-1)*x/(2*x-1)/(x^2-x+1) ogf] A131708 18.1565 [-(-2+6*x+4*x^3-9*x^2)/(x-1)/(2*x-1)/(x^2-x+1) lgdogf] A131708 7.45759 [{-a(n+3)+3*a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A131708 9.73874 [2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x ogf] A131709 15.5420 [-(30*x^3-30*x^2+3*x+1)/(x-1)/(10*x^2-10*x+1) ogf] A131709 8.21507 [{a(n+4)-11*a(n+3)+20*a(n+2)-10*a(n+1),a(0)=1,a(1)=14,a(2)=104,a(3)=904} ogf] A131709 8.91557 [(867*f(x)-7859)*(10*f(x)*x^3-20*f(x)*x^2+30*x^3+11*f(x)*x-30*x^2-f(x)+3*x+1) ogf] A131710 12.4926 [2*(-1-x+5*x^6-3*x^5+2*x^7)/(1+x^2)/(x^2+2*x-1)/(x^4-x^2+1) lgdogf] A131710 14.9974 [-x*(x^2+1)*(x^4-x^2+1)/(x^2+2*x-1) ogf] A131710 4.42695 [{-a(n+3)+2*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=5,a(4)=12,a(5)=29,a(6)=70,a(7)=170} ogf] A131712 11.2647 [(316*f(x)+1591)*(f(x)*x^4+9*x^3+7*x^2-f(x)+3*x+1) ogf] A131712 12.0084 [-(3+14*x+9*x^6+9*x^4+4*x^3+14*x^5+27*x^2)/(x-1)/(x+1)/(1+x^2)/(9*x^3+7*x^2+3*x+1) lgdogf] A131712 17.3911 [-(9*x^3+7*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A131713 15.3937 [-(x-1)/(x^2+x+1) ogf] A131713 17.5092 [-1/2*(x-1+(1-6*x-3*x^2)^(1/2))/(1+x) revogf] A131713 21.0111 [-(-2-2*x+x^2)/(-1+x)/(x^2+x+1) lgdogf] A131713 27.6266 [[x^2-2] ogf_with_Euler_transform] A131713 8.05485 [(3*f(x)-10)*(f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A131713 8.44777 [{a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=-2} ogf] A131714 13.2636 [(2*x^2-2*x+1)/(x+1)/(x^2-x+1) ogf] A131714 8.55151 [{-a(n+3)-a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A131714 9.15372 [-f(x)*(f(x)*x^3-2*x^2+f(x)+2*x-1) ogf] A131715 13.5804 [2*x*(4*x^4-3*x^3+2*x+1)/(x^2+1)/(x^4-x^2+1) ogf] A131715 13.6815 [-(-2+8*x^9+6*x^5-9*x^8+10*x^6+9*x^2-16*x^3)/(1+x^2)/(4*x^4-3*x^3+2*x+1)/(x^4-x^2+1) lgdogf] A131716 10.3289 [-x*(9*x^4+8*x^3+5*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131717 10.5659 [(2*x^5-x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A131717 7.34162 [-(2+4*x+4*x^10-x^9+9*x^8+8*x^7+10*x^6+12*x^5+14*x^4+x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5-x^4+2*x^3+x^2+x+1) lgdogf] A131718 13.5794 [-(x^5+2*x^4+x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131718 8.17376 [-(1+4*x+5*x^6+5*x^4+8*x^3+6*x^5+3*x^2+8*x^7+3*x^8+4*x^9+x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4+x^3+2*x^2+x+1) lgdogf] A131719 19.6554 [[x^5-x^3+1] ogf_with_Euler_transform] A131719 6.18581 [-(1+3*x^6-2*x^5+6*x^4-4*x^3+2*x^2)/(-1+x)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A131719 8.90870 [-(x^2+1)*x/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A131720 15.6142 [[x^5-x^3+x-1] ogf_with_Euler_transform] A131720 6.31916 [-(1+3*x^6+2*x^5+6*x^4+4*x^3+2*x^2)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A131720 7.93756 [(x^2+1)*x/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131721 11.5418 [(x-1)*(x^2+1)*(x^4-x^2+1)/(x^2+2*x-1) ogf] A131721 9.33032 [(1+2*x+6*x^5-17*x^6+8*x^7+5*x^8-x^2)/(x-1)/(x^2+1)/(x^2+2*x-1)/(x^4-x^2+1) lgdogf] A131722 10.4347 [-10*x*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131722 23.3169 [[x^5-x^4+1] ogf_with_Euler_transform] A131722 5.17438 [-(1+2*x+3*x^8+5*x^6+6*x^5+4*x^7+4*x^3+2*x^9+3*x^2)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A131723 12.5543 [-x*(x+2)/(x-1)/(x+1)^3 ogf] A131723 23.5910 [-3*(-1+2*x+x^2)/(-1+x)/(2+x)/(x+1) lgdogf] A131723 6.27713 [-(95*f(x)+229)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+x^2-f(x)+2*x) ogf] A131724 10.7465 [-(9*x^5+11*x^4+13*x^3+7*x^2+9*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131725 3.96620 [x*(x^8+8*x^7+4*x^6+5*x^4+4*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A131727 4.64141 [(x^3+2*x^2+x+1)*(x^3-x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+2*x-1)/(x^4-x^2+1) ogf] A131728 18.5703 [-(1-3*x+4*x^4-7*x^3+9*x^2)/(x-1)/(1+x^2)/(x^2-x+1) lgdogf] A131728 20.6411 [-x^5+2*x^3+x^2-x+1 ogf_with_Euler_transform] A131728 9.53422 [x*(x^2-x+1)/(x-1)^2/(x^2+1)^2 ogf] A131729 11.5267 [-(f(x)-1)*(f(x)*x^4+x^3-x^2-f(x)+x) ogf] A131729 18.0512 [-x*(x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A131729 21.1883 [-(-1+2*x+2*x^5+4*x^3-3*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A131729 23.2910 [-x^5+x^3+x^2+x-1 ogf_with_Euler_transform] A131730 14.6558 [-x*(x^3+x^2-1)/(x-1)/(x^2+1)/(x+1)^2 ogf] A131730 18.1521 [-(1+x+2*x^5+2*x^6+3*x^2-5*x^3)/(x-1)/(x+1)/(1+x^2)/(x^3+x^2-1) lgdogf] A131731 13.8619 [(3*x^2-x+2)/(x+1)/(x^2+1) ogf] A131731 19.9133 [-(3-2*x+3*x^4-2*x^3+2*x^2)/(x+1)/(x^2+1)/(3*x^2-x+2) lgdogf] A131731 7.48296 [(34*f(x)+23)*(f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2+f(x)+x-2) ogf] A131731 7.54978 [{a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=-3,a(2)=4} ogf] A131732 10.2064 [-(x^3+x^2+x-1)/(x+1)^2/(x^2+1)^2 ogf] A131732 18.8048 [-(x-1)*(x^2+2*x+3)*(3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) lgdogf] A131734 16.3127 [-2*x*(-1+2*x^2-3*x^4-2*x^6+x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2-1) lgdogf] A131734 16.3212 [x*(x^4-x^2-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A131735 10.6981 [-x^2*(x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A131735 14.3041 [-(1+3*x^6+6*x^4-4*x^3-2*x^5+2*x^2)/(x-1)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A131735 24.9108 [[x^5-x^3+1] ogf_with_Euler_transform] A131736 12.404 [-f(x)*x^4-f(x)*x^2-x^3+x^2-f(x) ogf] A131736 15.4506 [-x^2*(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A131736 23.7323 [-(-1-2*x+3*x^4-4*x^3+x^2)/(x-1)/(1+x^2+x)/(x^2-x+1) lgdogf] A131736 30.3100 [[x^5-x-1] ogf_with_Euler_transform] A131737 14.3365 [x*(x^4+1)/(x^2+x+1)/(x-1)^2 ogf] A131737 20.4100 [-(x+1)*(x^4+4*x^2+1)/(x-1)/(x^2+x+1)/(1+x^4) lgdogf] A131737 22.0099 [-x^7+x^3+x^2+1 ogf_with_Euler_transform] A131737 6.75357 [-f(x)*(2*f(x)+1)*(f(x)*x^4-x^5-f(x)*x^3-f(x)*x+f(x)-x) ogf] A131738 11.6199 [f(x)*(f(x)*x^2+2*f(x)*x+x^2+f(x)+2*x) ogf] A131738 19.2084 [-x*(x+2)/(x+1)^2 ogf] A131738 36.2669 [-x/(1+x)^(1/2)/(1+(1+x)^(1/2)) revogf] A131738 60.4449 [-(x+3)/(x+2)/(x+1) lgdogf] A131738 9.31894 [{-a(n+3)-2*a(n+2)-a(n+1),a(0)=0,a(1)=-2,a(2)=3} ogf] A131739 17.9919 [-(3-7*x+4*x^4-7*x^3+15*x^2)/(x-1)/(1+x^2)/(x^2-x+2) lgdogf] A131739 9.96046 [x^2*(x^2-x+2)/(x-1)^2/(x^2+1)^2 ogf] A131742 11.2993 [-(2-2*x+5*x^6+5*x^4+14*x^3-5*x^5+2*x^2+3*x^7)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3-x^2+x+1) lgdogf] A131742 6.48893 [x^2*(x^4+x^3-x^2+x+1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A131743 15.1966 [-f(x)*x^4-2*x^3+f(x)-x ogf] A131743 16.5474 [-x*(2*x^2+1)/(x-1)/(x+1)/(x^2+1) ogf] A131743 18.0125 [-4*x*(x^2+x+1)*(x^2-x+1)/(x-1)/(x+1)/(2*x^2+1)/(1+x^2) lgdogf] A131743 8.65853 [{a(n+4)-a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=2} ogf] A131750 3.16261 [(3566669437*f(x)+2559294)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)-110*x+1) ogf] A131750 3.45012 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=1,a(1)=85,a(2)=16381} ogf] A131750 6.23082 [-(x^2-110*x+1)/(x-1)/(x^2-194*x+1) ogf] A131751 4.08056 [(58575*f(x)+46)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x+x^2-f(x)-32*x+1) ogf] A131751 4.11514 [{-a(n+3)+63*a(n+2)-63*a(n+1)+a(n),a(0)=1,a(1)=31,a(2)=1891} ogf] A131751 7.54017 [-(31-124*x-64*x^3+x^4+1956*x^2)/(x-1)/(x^2-32*x+1)/(x^2-62*x+1) lgdogf] A131751 7.58730 [-(x^2-32*x+1)/(x-1)/(x^2-62*x+1) ogf] A131756 12.548 [(179*f(x)-831)*(f(x)*x^3+3*x^2-f(x)-x+2) ogf] A131756 13.0433 [{-a(n+3)+a(n),a(0)=2,a(1)=-1,a(2)=3} ogf] A131756 20.2305 [-(3*x^2-x+2)/(x-1)/(x^2+x+1) ogf] A131756 20.6467 [-(-1+6*x+6*x^2-2*x^3+3*x^4)/(x-1)/(x^2+x+1)/(3*x^2-x+2) lgdogf] A131757 6.74930 [(7*x^8+4*x^7+x^6+8*x^5+5*x^4+2*x^3+9*x^2+6*x+3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A131761 7.13259 [x*(x+1)*(4*x^5-2*x^4+3*x^3-2*x^2-1)/(x^2-x+1)/(5*x^3-1) ogf] A131763 10.0585 [-1/2*(x-1+(1-14*x+x^2)^(1/2))/(1-14*x+x^2)^(1/2)/x lgdogf] A131763 12.4361 [-4*f(x)^2*x+f(x)*x+f(x)-1 ogf] A131763 3.44474 [{(n^2+n)*a(n)+(-15*n^2-39*n-24)*a(n+1)+(15*n^2+81*n+108)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=21} ogf] A131763 33.5283 [x*(4*x-1)/(x-1) revogf] A131765 10.7114 [-1/2*(-1+x+(1-18*x+x^2)^(1/2))/(1-18*x+x^2)^(1/2)/x lgdogf] A131765 36.4187 [x*(5*x-1)/(x-1) revogf] A131765 9.45495 [-5*f(x)^2*x+f(x)*x+f(x)-1 ogf] A131769 3.02112 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=8,a(1)=30,a(2)=72,a(3)=160} ogf] A131769 3.42781 [(5*f(x)+464)*(4*f(x)*x^2+8*x^3-4*f(x)*x+16*x^2+f(x)+2*x-8) ogf] A131769 5.74987 [-2*(4*x^3+8*x^2+x-4)/(2*x-1)^2 ogf] A131769 7.17727 [(15-18*x+8*x^3-12*x^2)/(2*x-1)/(4*x^3+8*x^2+x-4) lgdogf] A131780 5.68693 [-(6*f(x)-17)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+2*x^3-f(x)*x+x^2+f(x)-3*x-1) ogf] A131793 10.5659 [(2*x^5+2*x^4-3*x^3+2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A131793 6.67420 [-(3+7*x+4*x^10+8*x^9-8*x^8+11*x^7+15*x^6+12*x^5+14*x^4+10*x^3-4*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+2*x^4-3*x^3+2*x^2+2*x+1) lgdogf] A131794 9.86662 [-(-x^13+x^12+x^10-x^7+x^6-x^3-x+1)/(-x^15-1) ogf_with_Euler_transform] A131795 18.9848 [-x/(-x^3-x^2-x-1) ogf_with_Euler_transform] A131800 11.7861 [(482*f(x)+969)*(f(x)*x^4+6*x^3+5*x^2-f(x)+2*x+1) ogf] A131800 12.5832 [-2*(1+5*x+3*x^6+5*x^5+3*x^4+2*x^3+9*x^2)/(x-1)/(x+1)/(6*x^3+5*x^2+2*x+1)/(1+x^2) lgdogf] A131800 17.9893 [-(6*x^3+5*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A131804 13.0798 [-(-1+6*x+4*x^5-6*x^4+14*x^3-11*x^2)/(x-1)/(1+x^2)/(x^3-x^2+2*x-1) lgdogf] A131804 7.79990 [-x^2*(x^3-x^2+2*x-1)/(x^2+1)^2/(x-1)^3 ogf] A131805 10.4707 [-x*(x^2+2*x-1)/(x+1)^2/(x-1)^3 ogf] A131805 20.0964 [-(1-x+9*x^2+3*x^3)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A131806 11.2371 [(9*f(x)-13)*(f(x)*x^4+6*x^3+4*x^2-f(x)+2*x) ogf] A131806 16.2364 [-2*(1+3*x+3*x^5+3*x^4+2*x^3)/(x-1)/(x+1)/(1+x^2)/(3*x^2+2*x+1) lgdogf] A131806 16.9617 [-2*x*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A131815 3.46419 [{(16*n^3+32*n^2+12*n)*a(n)+(-8*n^2-16*n-6)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=-2} egf] A131820 18.6883 [-(6+2*x+x^3-x^2)/(x-1)/(x^3-2*x^2+2*x+1) lgdogf] A131820 3.87048 [{(113*n^2+835*n+1218)*a(n+1)+(-306*n^2-2034*n-2808)*a(n+2)+(193*n^2+959*n+1140)*a(n+3),a(0)=1,a(1)=6,a(2)=16} ogf] A131820 5.40769 [(160*f(x)-109)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A131820 9.90240 [(x^3-2*x^2+2*x+1)/(x-1)^4 ogf] A131831 13.1272 [(3*x^2-1)/(2*x-1)/(x-1)^2 ogf] A131831 15.6227 [-2*(2-6*x+3*x^3+3*x^2)/(-1+x)/(2*x-1)/(3*x^2-1) lgdogf] A131831 4.60807 [(f(x)-33)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+1) ogf] A131831 6.68083 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A131833 11.3153 [(6*x^2-2*x-1)/(2*x-1)/(x-1)^2 ogf] A131833 6.10825 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=13} ogf] A131833 6.90579 [-(159*f(x)+6766)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-6*x^2-f(x)+2*x+1) ogf] A131835 11.2467 [2*(5-4*x+400*x^12-840*x^11+440*x^10)/(x-1)/(80*x^12-80*x^11+8*x^2-8*x-1) lgdogf] A131835 11.3112 [-(80*x^12-80*x^11+8*x^2-8*x-1)/(x-1)^2 ogf] A131836 10.6395 [x^2*(x^20-x^19+3*x^6-2*x^5+x^3-x^2-2)/(x-1) ogf] A131836 8.81182 [(2+2*x+15*x^6+10*x^4+2*x^3-26*x^5-4*x^2+19*x^18-38*x^19+19*x^20)/(x-1)/(x^20-x^19+3*x^6-2*x^5+x^3-x^2-2) lgdogf] A131846 11.5282 [-6*f(x)^2*x+f(x)*x+f(x)-1 ogf] A131846 3.17835 [{(n^2+n)*a(n)+(-23*n^2-59*n-36)*a(n+1)+(23*n^2+125*n+168)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=5,a(2)=55} ogf] A131846 41.7742 [x*(-1+6*x)/(x-1) revogf] A131849 5.32078 [-x^15+x^7-x^5+x^2+1 ogf_with_Euler_transform] A131852 4.94411 [-x^2*(x^40+2*x^32+x^30-x^6+1)/(x-1)/(x^2+1)/(x^8+1)/(x^32+1) ogf] A131865 11.7024 [-1/32*(-1-17*x+(1+25*x)^(1/2)*(9*x+1)^(1/2))/x revogf] A131865 15.7041 [1/(16*x-1)/(x-1) ogf] A131865 20.7042 [-(-17+32*x)/(16*x-1)/(x-1) lgdogf] A131865 6.46639 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=1,a(1)=17} ogf] A131865 8.1828 [(257*f(x)+32)*(16*f(x)*x^2-17*f(x)*x+f(x)-1) ogf] A131869 12.6761 [-8*f(x)^2*x+f(x)*x+f(x)-1 ogf] A131869 3.47855 [{(n^2+n)*a(n)+(-31*n^2-79*n-48)*a(n+1)+(31*n^2+169*n+228)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=7,a(2)=105} ogf] A131869 46.0069 [x*(-1+8*x)/(x-1) revogf] A131870 11.1381 [-(9*x^7+8*x^6+7*x^5+6*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A131874 13.2433 [(3*x^2-9*x-1)/(x-1)^3 ogf] A131874 22.6437 [-3*(-4-4*x+x^2)/(x-1)/(3*x^2-9*x-1) lgdogf] A131874 6.84613 [(3283*f(x)-29203)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+9*x+1) ogf] A131874 7.08634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=30} ogf] A131877 17.7800 [(13*x+1)/(x-1)^2 ogf] A131877 22.2777 [-1/2*(-1-2*x+(1+56*x)^(1/2))/(-13+x) revogf] A131877 30.8461 [-(15+13*x)/(13*x+1)/(-1+x) lgdogf] A131877 9.18966 [(28*f(x)+197)*(f(x)*x^2-2*f(x)*x+f(x)-13*x-1) ogf] A131877 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=15} ogf] A131885 11.1167 [-2*(-1+x)*(2*x^3+2*x^2-3*x+1)/(2*x-1)/(2*x^2-2*x+1)/(2*x^3-2*x^2+2*x-1) lgdogf] A131885 11.6451 [(2*x^3-2*x^2+2*x-1)/(2*x-1)/(2*x^2-2*x+1) ogf] A131885 6.08719 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A131885 6.75217 [(f(x)-9)*(4*f(x)*x^3-6*f(x)*x^2-2*x^3+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A131887 13.9482 [-(x^3+x^2-5*x-3)/(x^4-4*x^2+1) ogf] A131887 8.80224 [(26*f(x)+47)*(f(x)*x^4-4*f(x)*x^2+x^3+x^2+f(x)-5*x-3) ogf] A131895 13.3177 [(2*x^2-6*x-1)/(x-1)^3 ogf] A131895 22.7709 [-(-9-8*x+2*x^2)/(x-1)/(2*x^2-6*x-1) lgdogf] A131895 6.82673 [(10425*f(x)-65233)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+6*x+1) ogf] A131895 7.18922 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=22} ogf] A131898 13.5852 [(4*x^2-x-1)/(2*x-1)/(x-1)^2 ogf] A131898 7.08286 [-(7*f(x)+129)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-4*x^2-f(x)+x+1) ogf] A131898 7.33358 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A131912 13.3359 [(4*x^2+6*x+1)/(x+1)/(x-1)^2 ogf] A131912 16.6137 [-(7+17*x+4*x^3+16*x^2)/(x-1)/(x+1)/(4*x^2+6*x+1) lgdogf] A131912 6.72305 [-(3421*f(x)+4283)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-6*x-1) ogf] A131912 7.19901 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=12} ogf] A131913 11.6854 [-(x^2-x-1)/(x^2+x-1)^2 ogf] A131913 19.3160 [-(-3-3*x+2*x^3-3*x^2)/(x^2+x-1)/(x^2-x-1) lgdogf] A131913 5.97253 [-(25*f(x)-14)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A131921 9.09443 [4*(x^50-x^49-x^48-x^24-x+2)/(x-1)/(x^49+x^24-1) ogf] A131924 12.6657 [-2*(2-6*x+x^4+4*x^3+2*x^2)/(x-1)/(-1+2*x)/(x^3+x^2+x-1) lgdogf] A131924 5.00335 [-(3*f(x)+43)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x+x^2+f(x)+x-1) ogf] A131924 9.22697 [-(x^3+x^2+x-1)/(2*x-1)/(x-1)^3 ogf] A131926 12.1271 [-7*f(x)^2*x+f(x)*x+f(x)-1 ogf] A131926 3.34345 [{(n^2+n)*a(n)+(-27*n^2-69*n-42)*a(n+1)+(27*n^2+147*n+198)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=6,a(2)=78} ogf] A131926 43.9826 [x*(-1+7*x)/(x-1) revogf] A131927 10.4829 [-1/2*(x-1+(1-34*x+x^2)^(1/2))/(1-34*x+x^2)^(1/2)/x lgdogf] A131927 34.9429 [x*(9*x-1)/(x-1) revogf] A131927 9.68444 [-9*f(x)^2+f(x)*x+f(x)-x ogf] A131940 5.61141 [-343-6174*x+(147+1764*x-10584*x^2)*f(x)+(-21-126*x-4536*x^3+2268*x^2)*f(x)^2+(1-108*x^2+432*x^3)*f(x)^3 lgdegf] A131941 10.9615 [(x^2+1)*x/(x+1)/(x-1)^4 ogf] A131941 19.7175 [-(3+7*x+3*x^2+3*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A131941 27.4342 [[-x^3+2*x+3] ogf_with_Euler_transform] A131943 9.35466 [-(-4*x^5-3*x^4-6*x^3-2*x^2-6*x-3)/(x^6-1) ogf_with_Euler_transform] A131945 12.7532 [-(x^5+x^4+x^3+x+1)/(x^6-1) ogf_with_Euler_transform] A131946 9.72655 [-(-4*x^5-4*x^4-2*x^3-8*x^2-2*x-4)/(x^6-1) ogf_with_Euler_transform] A131949 10.3959 [-(x^3+5*x^2-x-1)/(2*x-1)/(x-1)^3 ogf] A131949 6.96073 [-2*f(x)*x^4+7*f(x)*x^3-9*f(x)*x^2-x^3+5*f(x)*x-5*x^2-f(x)+x+1 ogf] A131951 3.57633 [-(f(x)+1)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-3*x^3-5*f(x)*x+7*x^2+f(x)-x-1) ogf] A131951 6.54888 [(3*x^3-7*x^2+x+1)/(2*x-1)/(x-1)^3 ogf] A131963 4.54403 [-(-2*x^8-x^7-x^6-2*x^5-3*x^4-x^3-x-1)/(x^9+x^8+x^7+x^6+2*x^5+2*x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A131969 14.1371 [(6*x^2-2*x+3)/(x+1)/(x^2-x+1) ogf] A131969 14.8281 [-(2-12*x+9*x^2-4*x^3+6*x^4)/(x+1)/(x^2-x+1)/(6*x^2-2*x+3) lgdogf] A131969 8.99632 [(2*f(x)-471)*(f(x)*x^3-6*x^2+f(x)+2*x-3) ogf] A131969 9.11470 [{-a(n+3)-a(n),a(0)=3,a(1)=-2,a(2)=6} ogf] A131970 4.11563 [(6061*f(x)+1381)*(100*f(x)*x^2-101*f(x)*x+f(x)-21*x-1) ogf] A131970 4.48978 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=1,a(1)=122} ogf] A131970 7.40694 [-1/2*(-1-101*x+(1+286*x+9801*x^2)^(1/2))/(-21+100*x) revogf] A131970 7.86043 [-2*(-61+100*x+1050*x^2)/(-1+x)/(21*x+1)/(100*x-1) lgdogf] A131970 7.90202 [(21*x+1)/(100*x-1)/(x-1) ogf] A131973 7.18937 [-121*(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A131974 7.06371 [(2*x^7+3*x^6+4*x^5+5*x^4-4*x^3-3*x^2-2*x-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A131981 9.63222 [x^11*(x^10-x^9-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A131986 6.56165 [-(-3*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x-3)/(x^9-1) ogf_with_Euler_transform] A131999 7.95866 [-(-4*x^7-2*x^6-3*x^5-2*x^4-6*x^3-2*x^2-3*x-2)/(x^8-1) ogf_with_Euler_transform] A131999 99.9999 Evaluated at exp(-Pi) 1/16*GAMMA(5/8)^4*(3+2*2^(1/2))*2^(1/2)*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A132000 10.0228 [-(-6*x^5-x^4-5*x^3-6*x^2-5*x-1)/(x^6-1) ogf_with_Euler_transform] A132002 99.9999 Evaluated at exp(-Pi) 1/6/Pi^(1/2)*3^(3/4)*GAMMA(2/3)*GAMMA(3/4)*(1+3^(1/2))/GAMMA(11/12) A132016 12.4328 [-(x^31+x^30-2*x^5+2)/(-x^31+x^5-1) ogf_with_Euler_transform] A132030 4.13371 [(5*x^17-x^16-x^15-x^14-x^13-x^12-11*x^11+x^10+x^9+x^8+x^7+x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A132041 9.44059 [-(2*x^8+4*x^7+2*x^6+4*x^5+4*x^3+2*x^2+4*x+2)/(-x^10+1) ogf_with_Euler_transform] A132045 12.9493 [-(2*x^3-2*x+1)/(2*x-1)/(x-1)^2 ogf] A132045 15.2117 [-2*(-1+4*x+5*x^3-7*x^2)/(x-1)/(2*x-1)/(2*x^3-2*x+1) lgdogf] A132045 5.98413 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A132045 7.05272 [(11*f(x)-8)*(2*f(x)*x^3-5*f(x)*x^2+2*x^3+4*f(x)*x-f(x)-2*x+1) ogf] A132051 2.85287 [{(-4*n^3-90*n^2-674*n-1680)*a(n+1)+(4*n^2+53*n+153)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=63,a(2)=2730} ogf] A132052 2.92412 [{(-4*n^3-102*n^2-866*n-2448)*a(n+1)+(4*n^2+59*n+186)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=84,a(2)=4662} ogf] A132054 2.66670 [{(-4*n^3-126*n^2-1322*n-4620)*a(n+1)+(4*n^2+71*n+261)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=135,a(2)=11385} ogf] A132058 7.71996 [x*(1+365*x^2+2925*x^3+42799*x^6+27*x+14043*x^4+37449*x^5)/(1+8*x)^7 revogf] A132059 8.08117 [x*(1+155*x^2+925*x^3+5713*x^6+15*x+3333*x^4+6665*x^5)/(1+6*x)^7 revogf] A132060 6.53543 [(-49*n-105)*a(n+1)+(14*n+36)*a(n+2)+(-n-3)*a(n+3),a(0)=9,a(1)=64,a(2)=452 lgdegf] A132061 6.24657 [(-49*n-105)*a(n+1)+(14*n+36)*a(n+2)+(-n-3)*a(n+3),a(0)=7,a(1)=48,a(2)=332 lgdegf] A132063 7.29649 [(-16*n-28)*a(n+1)+(8*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=2,a(1)=9,a(2)=75/2 lgdegf] A132069 8.72860 [-(4*x^9+x^8+3*x^7+x^6+3*x^5+4*x^4+3*x^3+x^2+3*x+1)/(-x^10+1) ogf_with_Euler_transform] A132072 3.52632 [-(12*f(x)+37)*(2*f(x)*x^4-7*f(x)*x^3-2*x^4+9*f(x)*x^2+4*x^3-5*f(x)*x+f(x)+x-1) ogf] A132072 6.54888 [(2*x^4-4*x^3-x+1)/(2*x-1)/(x-1)^3 ogf] A132074 10.8238 [(2*x^3+2*x^2-1)/(2*x-1)/(x-1)^2 ogf] A132074 13.5232 [-2*(2-5*x+7*x^3-x^2)/(x-1)/(-1+2*x)/(2*x^3+2*x^2-1) lgdogf] A132074 5.28981 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=4,a(2)=9,a(3)=16} ogf] A132074 5.91214 [(21*f(x)-2350)*(2*f(x)*x^3-5*f(x)*x^2-2*x^3+4*f(x)*x-2*x^2-f(x)+1) ogf] A132079 11.8398 [-2*(4*x-1)/(5*x-1)/(x-1) ogf] A132079 13.3490 [-(7-20*x+25*x^2)/(-1+x)/(5*x-2)/(5*x-1) lgdogf] A132079 13.3490 [-1/5*(-2-3*x+(4+2*x+4*x^2)^(1/2))/(2+x) revogf] A132079 5.85485 [-(29*f(x)-26)*(5*f(x)*x^2-6*f(x)*x+f(x)+8*x-2) ogf] A132079 6.49745 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=2,a(1)=4} ogf] A132086 10.5659 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A132086 10.9525 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A132086 110.124 [-2/(x-1) lgdogf] A132086 27.2152 [1/(x-1)^2 ogf] A132086 38.3041 [4*x/(1+(4*x+1)^(1/2))^2 revogf] A132107 99.9999 Evaluated at exp(-Pi) -9*Pi^(1/2)*2^(1/3)*3^(1/2)*GAMMA(11/12)^2*(-2+3^(1/2))*exp(-1/2*Pi)/GAMMA(3/4)^2/GAMMA(5/6) A132109 13.2631 [-(3-10*x+2*x^4+8*x^2)/(x-1)/(-1+2*x)/(x^3-x^2+2*x-1) lgdogf] A132109 4.95454 [-(5*f(x)+21)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A132109 9.13695 [-(x^3-x^2+2*x-1)/(2*x-1)/(x-1)^3 ogf] A132112 12.0314 [x*(7*x+4)/(x-1)^4 ogf] A132112 32.1240 [-(23+21*x)/(7*x+4)/(x-1) lgdogf] A132112 5.14502 [{(8+4*n)*a(n+3)+(-20+3*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=0,a(1)=4,a(2)=23} ogf] A132112 5.6262 [(12866777*f(x)+56872061)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-4*x) ogf] A132117 10.4806 [-(x+1)*(2*x+1)/(x-1)^5 ogf] A132117 21.9814 [-2*(2+x)*(3*x+2)/(-1+x)/(2*x+1)/(x+1) lgdogf] A132117 4.16063 [{(-n-4)*a(n+4)+(2-2*n)*a(n+3)+(18+n)*a(n+2)+(8+2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=32,a(3)=90} ogf] A132122 13.6659 [-(33+97*x+3*x^3+47*x^2)/(x-1)/(x^3+11*x^2+15*x+3) lgdogf] A132122 3.46903 [{(-227*n^2-1363*n-2046)*a(n+1)+(394*n^2+1892*n+5106)*a(n+2)+(-167*n^2-829*n-990)*a(n+3),a(0)=0,a(1)=3,a(2)=33} ogf] A132122 6.66598 [x*(x^3+11*x^2+15*x+3)/(x-1)^6 ogf] A132123 13.9309 [-2*(55+139*x+x^3+45*x^2)/(x-1)/(x^3+29*x^2+55*x+11) lgdogf] A132123 3.60437 [{(-262*n^2-1203*n-1358)*a(n+1)+(752*n^2+4184*n+9422)*a(n+2)+(-490*n^2-2069*n-2178)*a(n+3),a(0)=0,a(1)=11,a(2)=110} ogf] A132123 7.66887 [-x*(x^3+29*x^2+55*x+11)/(x-1)^5 ogf] A132124 11.7477 [x*(5*x+3)/(x-1)^4 ogf] A132124 31.3555 [-(17+15*x)/(5*x+3)/(x-1) lgdogf] A132124 5.02367 [{(6+3*n)*a(n+3)+(-15+2*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=3,a(2)=17} ogf] A132124 5.53332 [(7706624*f(x)+24831067)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-3*x) ogf] A132126 11.4744 [x*(2*x^29-2*x^28+x^11-x^10+x^5-x^4-1)/(x-1) ogf] A132126 8.66116 [(1+56*x^27-112*x^28+56*x^29+10*x^9-20*x^10+10*x^11-8*x^4+4*x^5+4*x^3)/(x-1)/(2*x^29-2*x^28+x^11-x^10+x^5-x^4-1) lgdogf] A132127 6.17223 [(138*f(x)-11)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+x^2+f(x)-2*x-1) ogf] A132136 99.9999 Evaluated at exp(-Pi) exp(Pi) A132145 13.8245 [-(x^34-x^33+x-2)/(x-1)^2 ogf] A132151 20.1859 [x^7-x^4 ogf_with_Euler_transform] A132151 9.79747 [-x^4*(15*x^2+12*x^3+5+10*x+9*x^4+6*x^5+3*x^6)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A132152 7.05272 [-x^3*(2*x+1)*(4*x^2+1)*(2*x^2+2*x+1)/(16*x^8+10*x^4-1) ogf] A132162 6.60426 [-(54*x^28-36*x^27-18*x^26+18*x^10-12*x^9-6*x^8+6*x^4-4*x^3-x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A132164 10.0212 [-(8-42*x+105*x^2-140*x^3+105*x^4-42*x^5+7*x^6)/(x-1)^7 lgdegf] A132165 12.3776 [-(6-42*x+7*x^6-42*x^5+105*x^4-140*x^3+105*x^2)/(x-1)^7 lgdegf] A132167 10.6968 [-1/6*(-(37*x+1)^(1/6)+(1+x)^(1/6))/(37*x+1)^(1/6) revogf] A132167 3.88027 [-(3*x-1)*(12*x^2-6*x+1)*(36*x^2-6*x+1)/(47952*x^6-47952*x^5+19980*x^4-4440*x^3+555*x^2-37*x+1) ogf] A132168 10.7624 [1/6*((1+35*x)^(1/6)+(x-1)^(1/6)*(-1)^(5/6))/(1+35*x)^(1/6) revogf] A132168 4.45933 [-(3*x-1)*(12*x^2-6*x+1)*(36*x^2-6*x+1)/(45360*x^6-45360*x^5+18900*x^4-4200*x^3+525*x^2-35*x+1) ogf] A132171 6.70929 [-(18*x^37+9*x^36-54*x^22-36*x^13-6*x^10-3*x^9-6*x^4-2*x-1)/(x-1)/(9*x^36-3*x^9-1) ogf] A132174 6.81371 [-(5*x^7-x^6+x^5+x^4+x^3-3*x^2+2*x+1)/(2*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A132176 3.55738 [-(x^7-2*x^2-1)/(2*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A132179 10.0260 [-(-x^3+x^2-x+1)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A132180 12.6388 [-(x^4+2*x^3-2*x^2+2*x+1)/(x^6-1) ogf_with_Euler_transform] A132208 11.5330 [-(41+38*x+11*x^2)/(-1+x)/(11*x^2+8*x+11) lgdogf] A132208 4.02363 [(139*f(x)-1292)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+8*x+11) ogf] A132208 4.09301 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=41,a(2)=101} ogf] A132208 7.53633 [-(11*x^2+8*x+11)/(x-1)^3 ogf] A132209 12.5665 [x*(x+1)*(x-3)/(x-1)^3 ogf] A132209 19.3666 [-(-11-2*x+x^2)/(x-1)/(x-3)/(x+1) lgdogf] A132209 6.14153 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=3,a(2)=11,a(3)=23} ogf] A132209 7.04158 [(3*f(x)-13)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+2*x^2-f(x)+3*x) ogf] A132212 9.70483 [-(-x^6-x^5-2*x^4-x^3-2*x^2-x-1)/(-x^8+1) ogf_with_Euler_transform] A132217 12.0195 [-(-x^6-x^3-1)/(-x^8+x^6-x^2+1) ogf_with_Euler_transform] A132222 7.95774 [(2*x^8+x^7+4*x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A132262 7.68321 [f(x)^2*x^2-7*f(x)^2*x+f(x)^2+f(x)*x+f(x)-2 ogf] A132270 11.1463 [-(1+x+x^2+x^3+x^4+x^5+8*x^6)/(-1+x)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A132270 16.2666 [x^7/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A132271 5.81674 [-(10*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A132272 10.8144 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+11*x^9)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)/(x+1) lgdogf] A132272 22.8117 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A132272 46.6077 [x^9+1 ogf_with_Euler_transform] A132292 11.0703 [-(1+x+x^2+x^3+x^4+x^5+x^6+9*x^7)/(-1+x)/(x+1)/(1+x^2)/(x^4+1) lgdogf] A132292 16.0454 [x^8/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A132301 11.3207 [-(-3*x^4-2*x^3-2*x^2-2*x-3)/(x^6-1) ogf_with_Euler_transform] A132308 10.9493 [-(2*x^2-x+1)/(3*x-1)/(x-1)^2 ogf] A132308 15.2297 [-2*(-2+3*x+3*x^3)/(x-1)/(3*x-1)/(2*x^2-x+1) lgdogf] A132308 5.75784 [(2884*f(x)-359)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-x+1) ogf] A132308 5.91071 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A132310 23.4234 [-(-5+18*x)/(-1+4*x)/(3*x-1) lgdogf] A132310 4.18925 [{(-n-3)*a(n+3)+(19+7*n)*a(n+2)+(-30-12*n)*a(n+1),a(0)=1,a(1)=5,a(2)=21} ogf] A132310 7.6803 [-36*f(x)^2*x^3+33*f(x)^2*x^2-10*f(x)^2*x+f(x)^2-1 ogf] A132314 10.1744 [2*x*(2*x^2+2*x+1)/(2*x^2-1)^2 ogf] A132314 13.2622 [-2*(1+6*x+4*x^3+6*x^2)/(2*x^2-1)/(1+2*x^2+2*x) lgdogf] A132314 5.39686 [{(2*n+6)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=2,a(2)=4} ogf] A132314 8.29085 [-(2*f(x)-1)*(4*f(x)*x^4-4*f(x)*x^2-4*x^3-4*x^2+f(x)-2*x) ogf] A132315 10.5026 [(5-2*x+656*x^14-640*x^15-224*x^13+208*x^16)/(x-1)/(16*x^16-32*x^15+16*x^14+x-2) lgdogf] A132315 9.67443 [x*(16*x^16-32*x^15+16*x^14+x-2)/(x-1)^3 ogf] A132322 16.1666 [-(x^24-x^22-1)/(x^2-1) ogf_with_Euler_transform] A132337 14.7662 [x*(x-2)/(x-1)^3 ogf] A132337 39.5099 [-(-5+2*x)/(x-1)/(x-2) lgdogf] A132337 7.44846 [-(23*f(x)-63)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+2*x) ogf] A132337 7.58266 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A132341 4.47690 [{(-128*n^3+64*n^2+8*n-4)*a(n)+(2*n^3+5*n^2+4*n+1)*a(n+1),a(0)=1,a(1)=2} ogf] A132342 5.84026 [(x-1)*(2*x^14+2*x^13+2*x^12-2*x^10-6*x^9-10*x^8-14*x^7-16*x^6-16*x^5-14*x^4-10*x^3-6*x^2-3*x-1)/(x^4+x^3+x^2+x+1) ogf] A132343 4.97242 [(2*x^9-11*x^8+15*x^7+x^6-16*x^5+13*x^4+x^3-8*x^2+5*x-1)/(x-1)/(x^4-5*x^3+6*x^2-4*x+1) ogf] A132344 13.6804 [-4*(1+3*x+2*x^3+6*x^2)/(2*x^2-1)/(1+2*x^2+4*x) lgdogf] A132344 14.7056 [x*(2*x^2+4*x+1)/(2*x^2-1)^2 ogf] A132344 7.80036 [{(2*n+6)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A132344 9.24784 [(8*f(x)+5)*(4*f(x)*x^4-4*f(x)*x^2-2*x^3-4*x^2+f(x)-x) ogf] A132353 10.3618 [-(3*x^3-x+1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A132353 5.40231 [-(47*f(x)+21)*(3*f(x)*x^4-f(x)*x^3+3*x^3+3*f(x)*x-f(x)-x+1) ogf] A132353 9.52368 [-(2+6*x^2-4*x^3-9*x^4+9*x^6)/(-1+3*x)/(x+1)/(x^2-x+1)/(3*x^3-x+1) lgdogf] A132354 10.2340 [-x*(5*x^2+4*x+5)/(x+1)^2/(x-1)^3 ogf] A132354 16.6792 [-3*(3+13*x+5*x^3+7*x^2)/(x-1)/(x+1)/(5*x^2+4*x+5) lgdogf] A132355 15.7086 [-(11+53*x+21*x^3+23*x^2)/(x-1)/(x+1)/(7*x^2+4*x+7) lgdogf] A132355 9.83927 [-x*(7*x^2+4*x+7)/(x+1)^2/(x-1)^3 ogf] A132356 10.1798 [-4*x*(2*x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A132356 17.6729 [-3*(1+5*x+2*x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+x+2) lgdogf] A132357 5.2168 [(2372*f(x)+507)*(3*f(x)*x^4-f(x)*x^3+3*f(x)*x+2*x^2-f(x)+x+1) ogf] A132357 9.92048 [-(2*x^2+x+1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A132364 6.70033 [f(x)^2*x^3-f(x)^2*x+f(x)^2+f(x)*x-2*f(x)+1 ogf] A132364 7.89267 [1/2*(-1+4*x-12*x^3+3*x^2+(-(-1+4*x)*(x^2+1-6*x)^2)^(1/2))/(-1+4*x)/(x^3-x+1) lgdogf] A132366 19.3007 [-2*(3+3*x+3*x^2+x^3)/(-1+x)/(x+1)/(1+x^2) lgdogf] A132366 3.93162 [{(n^2+10*n+21)*a(n+1)+(-2*n^2-12*n+2)*a(n+2)+(n^2+2*n-3)*a(n+3),a(0)=1,a(1)=6,a(2)=21,a(3)=56,a(4)=125} ogf] A132366 32.0108 [[-x^3+6] ogf_with_Euler_transform] A132366 9.26417 [-(x+1)*(x^2+1)/(x-1)^5 ogf] A132367 11.8194 [-(31*f(x)-91)*(f(x)*x^3-2*x^2+f(x)-x-1) ogf] A132367 12.5970 [{-a(n+3)-a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A132367 19.5381 [(2*x^2+x+1)/(x+1)/(x^2-x+1) ogf] A132367 21.3590 [-(-1-4*x+3*x^2+2*x^3+2*x^4)/(x+1)/(x^2-x+1)/(2*x^2+x+1) lgdogf] A132368 8.62178 [x*(x^7+2*x^6+x^5-2*x^4+3*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A132371 4.32001 [{(n^2+5*n+6)*a(n+1)+(-n^2-6*n-7)*a(n+2)+(n+1)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A132373 3.70529 [{(168*n+336)*a(n+1)+(-24*n-48)*a(n+2)+(-7*n-35)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=7,a(3)=13} ogf] A132373 35.3737 [x*(1+x)/(1+2*x+7*x^2) revogf] A132373 9.8166 [7*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A132374 3.24036 [{(-224*n-448)*a(n+1)+(28*n+56)*a(n+2)+(8*n+40)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=8,a(3)=15} ogf] A132374 30.8725 [x*(1+x)/(1+2*x+8*x^2) revogf] A132374 8.58487 [8*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A132375 28.8166 [x*(1+x)/(1+2*x+9*x^2) revogf] A132375 8.02198 [9*f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A132380 12.3355 [x^2*(x+1)/(x^4+1) ogf] A132380 18.2696 [x^7-x^3-x+1 ogf_with_Euler_transform] A132380 28.4528 [-(-1+3*x^4+4*x^3)/(x+1)/(1+x^4) lgdogf] A132380 7.65115 [-(f(x)-1)*(f(x)*x^4-x^3-x^2+f(x)) ogf] A132383 13.1698 [4*(-1+12*x^5-15*x^4+240*x^21-252*x^20)/(x-1)/(48*x^21+12*x^5+3*x+1) lgdogf] A132383 16.0612 [-(48*x^21+12*x^5+3*x+1)/(x-1) ogf] A132390 4.73279 [-(2484*f(x)-151)*(16*f(x)*x^3+16*x^4-4*f(x)*x^2-4*x^3-4*f(x)*x+12*x^2+f(x)+6*x-3) ogf] A132390 6.79099 [2*(-3-64*x^5-184*x^4-48*x^3+128*x^6+54*x^2)/(2*x+1)/(2*x-1)/(4*x-1)/(16*x^4-4*x^3+12*x^2+6*x-3) lgdogf] A132390 8.22320 [-(16*x^4-4*x^3+12*x^2+6*x-3)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A132395 4.59126 [-(397*f(x)+132)*(1584*f(x)*x^2-155*f(x)*x+f(x)+132*x-1) ogf] A132395 5.21734 [{a(n+2)-155*a(n+1)+1584*a(n),a(0)=1,a(1)=23} ogf] A132395 8.63204 [-(23-3168*x+209088*x^2)/(11*x-1)/(132*x-1)/(144*x-1) lgdogf] A132395 8.63204 [-1/264*(-1-155*x+(1-218*x+17689*x^2)^(1/2))/(1+12*x) revogf] A132395 8.82935 [-(132*x-1)/(144*x-1)/(11*x-1) ogf] A132397 13.7804 [2*(2*x-1)/(x+1)/(8*x-1) ogf] A132397 14.1426 [1/8*(-2-7*x+(4+12*x+81*x^2)^(1/2))/(-1+2*x) revogf] A132397 16.0035 [-(1+4*x)*(4*x-5)/(8*x-1)/(2*x-1)/(x+1) lgdogf] A132397 6.81447 [-(51*f(x)-52)*(8*f(x)*x^2+7*f(x)*x-f(x)-4*x+2) ogf] A132397 7.47128 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=2,a(1)=10} ogf] A132400 10.4471 [-(5+6*x+x^6+6*x^5+15*x^4+4*x^3+3*x^2)/(x-1)/(x+1)/(1+x^2)/(x^3+3*x^2+5*x+1) lgdogf] A132400 14.0604 [-(x^3+3*x^2+5*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A132400 9.10731 [-(8*f(x)+17)*(f(x)*x^4+x^3+3*x^2-f(x)+5*x+1) ogf] A132401 10.6282 [-(-1-6*x+30*x^6+18*x^5+6*x^4-6*x^3+31*x^8+34*x^7+6*x^10+16*x^9-8*x^2)/(x+1)/(x^2+1)/(x^2+x+1)/(2*x^2+x+1)/(x^4+1) lgdogf] A132401 7.73873 [x^2*(x^2+x+1)*(2*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1) ogf] A132402 12.0827 [-(-3+10*x+4*x^3-14*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A132402 4.4344 [(64*f(x)+319)*(8*f(x)*x^4-16*f(x)*x^3+14*f(x)*x^2+x^3-6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A132402 7.97070 [-(x-1)^3/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A132411 12.7028 [x*(x^3-2*x^2-1)/(x-1)^3 ogf] A132411 24.6633 [-(-3-4*x+x^2)/(x-1)/(x^3-2*x^2-1) lgdogf] A132411 5.73392 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=3,a(3)=8,a(4)=15} ogf] A132411 6.88069 [(284*f(x)-4461)*(f(x)*x^3-x^4-3*f(x)*x^2+2*x^3+3*f(x)*x-f(x)+x) ogf] A132418 2.98318 [-(21*x^5+10*x^4+5*x^3+3*x^2+2*x+1)/(43*x^6-1) ogf] A132419 10.9862 [-(f(x)-81)*(f(x)*x^3+2*x^2+f(x)-x-1) ogf] A132419 11.5645 [{-a(n+3)-a(n),a(0)=1,a(1)=1,a(2)=-2} ogf] A132419 17.9367 [-(2*x+1)*(x-1)/(x+1)/(x^2-x+1) ogf] A132419 19.2727 [-(1-4*x-3*x^2-2*x^3+2*x^4)/(x-1)/(1+2*x)/(x+1)/(x^2-x+1) lgdogf] A132429 15.6946 [(3*x^2+4*x+3)/(x+1)/(x^2+1) ogf] A132429 22.5023 [-(-1+10*x^2+8*x^3+3*x^4)/(x+1)/(x^2+1)/(3*x^2+4*x+3) lgdogf] A132429 8.54794 [{-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=1,a(2)=-1} ogf] A132429 8.62495 [(3*f(x)-8)*(f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2+f(x)-4*x-3) ogf] A132433 15.6285 [-(x-2)/(8*x-1)/(x-1) ogf] A132433 16.0722 [-1/2*(-2-9*x+(4+32*x+49*x^2)^(1/2))/(1+8*x) revogf] A132433 18.6785 [-(17-32*x+8*x^2)/(x-1)/(x-2)/(-1+8*x) lgdogf] A132433 7.99187 [(121*f(x)+47)*(8*f(x)*x^2-9*f(x)*x+f(x)+x-2) ogf] A132433 8.47330 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=2,a(1)=17} ogf] A132434 12.5705 [-1/16*(-104-9*x+(10816+2384*x+49*x^2)^(1/2))/(-16+x) revogf] A132434 13.5805 [8*(16*x+13)/(8*x-1)/(x-1) ogf] A132434 14.2101 [-(-133+208*x+128*x^2)/(x-1)/(16*x+13)/(-1+8*x) lgdogf] A132434 7.00467 [(989*f(x)+38656)*(8*f(x)*x^2-9*f(x)*x+f(x)-128*x-104) ogf] A132434 7.64877 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=104,a(1)=1064} ogf] A132458 12.4655 [-4*(6+46*x+x^4+21*x^3+66*x^2)/(x-1)/(x^4+16*x^3+36*x^2+16*x+1) lgdogf] A132458 4.62099 [{(-n^2-4*n-4)*a(n+1)+(2*n^2+4*n+18)*a(n+2)-a(n+3)*n^2,a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A132458 5.83704 [x^3*(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^8 ogf] A132461 3.23902 [f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)*x^4-f(x)^2*x^2-4*f(x)*x^3-3*x^4-2*f(x)^2*x-2*f(x)*x^2+2*x^3+f(x)^2-4*f(x)*x-10*x^2+2*f(x)+2*x-3 ogf] A132462 14.4921 [-(x^4-x^3+x^2+x)/(x^6-1) ogf_with_Euler_transform] A132463 15.3222 [-(-x^3-x^2+x-1)/(-x^6+1) ogf_with_Euler_transform] A132464 3.61490 [x^5*(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1)/(x-1)^12 ogf] A132464 4.18999 [{(-n^3-4*n^2-4*n)*a(n+1)+(n^3-7*n^2+15*n-9)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A132464 7.63718 [-6*(8+141*x+x^6+43*x^5+330*x^4+750*x^3+575*x^2)/(x-1)/(x^6+36*x^5+225*x^4+400*x^3+225*x^2+36*x+1) lgdogf] A132465 3.96050 [{(-2*n^3-7*n^2-4*n+4)*a(n+1)+(2*n^3-19*n^2+56*n-48)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=1} ogf] A132465 6.76414 [-7*(9+217*x+57*x^6+609*x^5+2065*x^4+2625*x^3+x^7+1281*x^2)/(x-1)/(x+1)/(x^6+48*x^5+393*x^4+832*x^3+393*x^2+48*x+1) lgdogf] A132465 7.79977 [x^6*(x+1)*(x^6+48*x^5+393*x^4+832*x^3+393*x^2+48*x+1)/(x-1)^14 ogf] A132466 3.88923 [{(-n^3-3*n^2+4)*a(n+1)+(n^3-12*n^2+45*n-50)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=1} ogf] A132469 11.2772 [-32*f(x)*x^2+33*f(x)*x-f(x)+x ogf] A132469 14.8035 [-1/64*(-1-33*x+(1+66*x+961*x^2)^(1/2))/x revogf] A132469 17.1612 [x/(32*x-1)/(x-1) ogf] A132469 22.7746 [-(-33+64*x)/(32*x-1)/(x-1) lgdogf] A132469 7.23664 [{a(n+2)-33*a(n+1)+32*a(n),a(0)=0,a(1)=1} ogf] A132477 10.0469 [-(f(x)-1)*(2*f(x)*x+4*x^2-f(x)+2*x+1) ogf] A132477 17.6380 [-(4*x^2+2*x+1)/(2*x-1) ogf] A132477 9.33774 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=4,a(2)=12} ogf] A132479 9.53077 [-(22*f(x)+3)*(2*f(x)*x+6*x^2-f(x)+3*x+1) ogf] A132583 12.2553 [-1/20*(-11-11*x+(121+242*x+81*x^2)^(1/2))/x revogf] A132583 14.9531 [11/(10*x-1)/(x-1) ogf] A132583 20.2683 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A132583 5.8512 [(11111*f(x)+38830)*(10*f(x)*x^2-11*f(x)*x+f(x)-11) ogf] A132583 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=121} ogf] A132584 11.1520 [-2*(10-19*x-8*x^2+x^3)/(x-1)/(x+1)/(x^2-18*x+1) lgdogf] A132584 4.67231 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=80} ogf] A132584 6.29408 [(5*f(x)+1)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+4*x^2-f(x)+4*x) ogf] A132584 9.02785 [-4*x*(x+1)/(x-1)/(x^2-18*x+1) ogf] A132592 11.4369 [-2*(18-35*x+x^3-16*x^2)/(x-1)/(x+1)/(x^2-34*x+1) lgdogf] A132592 4.84601 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=288} ogf] A132592 6.70884 [(9*f(x)+2)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+8*x^2-f(x)+8*x) ogf] A132592 9.44561 [-8*x*(x+1)/(x-1)/(x^2-34*x+1) ogf] A132593 11.7835 [-2*(20-39*x+x^3-18*x^2)/(x-1)/(x+1)/(x^2-38*x+1) lgdogf] A132593 4.99066 [{a(n+3)-39*a(n+2)+39*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=360} ogf] A132593 5.21751 [(40*f(x)+9)*(f(x)*x^3-39*f(x)*x^2+39*f(x)*x+9*x^2-f(x)+9*x) ogf] A132593 9.72756 [-9*x*(x+1)/(x-1)/(x^2-38*x+1) ogf] A132594 3.58241 [{a(n+3)-255*a(n+2)+255*a(n+1)-a(n),a(0)=0,a(1)=63,a(2)=16128} ogf] A132594 3.70594 [(256*f(x)+63)*(f(x)*x^3-255*f(x)*x^2+255*f(x)*x+63*x^2-f(x)+63*x) ogf] A132594 6.82363 [-63*x*(x+1)/(x-1)/(x^2-254*x+1) ogf] A132594 8.12374 [-2*(128-255*x+x^3-126*x^2)/(x-1)/(x+1)/(x^2-254*x+1) lgdogf] A132595 3.81599 [-48*f(x)^2*x^3+68*f(x)^2*x^2+32*f(x)*x^3-27*f(x)^2*x-56*f(x)*x^2-5*x^3+2*f(x)^2+26*f(x)*x+10*x^2-2*f(x)-5*x ogf] A132596 12.1618 [-2*(6-11*x-4*x^2+x^3)/(x-1)/(x+1)/(x^2-10*x+1) lgdogf] A132596 4.98489 [{a(n+3)-11*a(n+2)+11*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=24} ogf] A132596 5.21355 [(6*f(x)+1)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+2*x^2-f(x)+2*x) ogf] A132596 9.63181 [-2*x*(x+1)/(x-1)/(x^2-10*x+1) ogf] A132607 3.81019 [{a(n+3)-399*a(n+2)+399*a(n+1)-a(n),a(0)=0,a(1)=99,a(2)=39600} ogf] A132607 3.94158 [(400*f(x)+99)*(f(x)*x^3-399*f(x)*x^2+399*f(x)*x+99*x^2-f(x)+99*x) ogf] A132607 7.25751 [-99*x*(x+1)/(x-1)/(x^2-398*x+1) ogf] A132607 8.64940 [-2*(200-399*x+x^3-198*x^2)/(x-1)/(1+x)/(x^2-398*x+1) lgdogf] A132644 3.55818 [{a(n+3)-1299*a(n+2)+1299*a(n+1)-a(n),a(0)=0,a(1)=324,a(2)=421200} ogf] A132644 6.58528 [-324*x*(x+1)/(x-1)/(x^2-1298*x+1) ogf] A132658 5.89667 [x^2*(x-1)*(2*x+1)*(x+1)*(x^2+x+1)*(4*x^2-2*x+1)*(4*x^2+2*x+1)/(43*x^6-1) ogf] A132672 7.93688 [(8+120*x^7-225*x^8+105*x^9-1984*x^16+1024*x^15+960*x^17-10*x)/(x-1)/(64*x^17-64*x^16+15*x^9-15*x^8+8*x^2-6*x-1) lgdogf] A132672 9.86924 [-(64*x^17-64*x^16+15*x^9-15*x^8+8*x^2-6*x-1)/(x-1)^2 ogf] A132673 7.72802 [(9+153*x^8-289*x^9+136*x^10+1458*x^17-2835*x^18+1377*x^19-11*x)/(x-1)/(81*x^19-81*x^18+17*x^10-17*x^9+9*x^2-7*x-1) lgdogf] A132673 9.76197 [-(81*x^19-81*x^18+17*x^10-17*x^9+9*x^2-7*x-1)/(x-1)^2 ogf] A132674 7.33912 [(10-12*x+190*x^9-361*x^10+171*x^11+2000*x^19-3900*x^20+1900*x^21)/(x-1)/(100*x^21-100*x^20+19*x^11-19*x^10+10*x^2-8*x-1) lgdogf] A132674 9.35032 [-(100*x^21-100*x^20+19*x^11-19*x^10+10*x^2-8*x-1)/(x-1)^2 ogf] A132677 10.8661 [(f(x)-2)*(f(x)*x^2+f(x)*x+f(x)-3*x-1) ogf] A132677 11.2636 [{a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A132677 20.5249 [(3*x+1)/(x^2+x+1) ogf] A132677 27.8126 [-1/2*(x-1+(1+10*x-3*x^2)^(1/2))/(-3+x) revogf] A132677 32.0266 [-(-2+2*x+3*x^2)/(3*x+1)/(x^2+x+1) lgdogf] A132708 12.597 [(f(x)+68)*(f(x)*x^3-x^2+f(x)-2*x-4) ogf] A132708 12.5970 [{a(n+3)+a(n),a(0)=4,a(1)=2,a(2)=1} ogf] A132708 19.5381 [(x^2+2*x+4)/(x+1)/(x^2-x+1) ogf] A132708 21.7545 [-(-2-2*x+12*x^2+4*x^3+x^4)/(x+1)/(x^2-x+1)/(x^2+2*x+4) lgdogf] A132720 12.2188 [(f(x)-1)*(4*f(x)*x^3+4*x^3+4*x^2-f(x)+2*x+1) ogf] A132720 3.27736 [{-a(n+4)+4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A132720 5.11720 [-2*(1+4*x+8*x^4+8*x^3+12*x^2)/(4*x^3-1)/(1+2*x+4*x^2+4*x^3) lgdogf] A132720 5.51977 [-(4*x^3+4*x^2+2*x+1)/(4*x^3-1) ogf] A132723 10.7142 [(2*x^2-2*x+3)/(2*x^2-2*x+1) ogf] A132723 16.8717 [-4*(2*x-1)/(2*x^2-2*x+1)/(2*x^2-2*x+3) lgdogf] A132723 5.56718 [{-a(n+3)+2*a(n+2)-2*a(n+1),a(0)=3,a(1)=4,a(2)=4} ogf] A132723 6.04098 [(f(x)-11)*(2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)+2*x-3) ogf] A132730 4.48973 [{-a(n+4)+4*a(n+3)-5*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=8} ogf] A132730 5.15343 [(159*f(x)-124)*(2*f(x)*x^3-5*f(x)*x^2+4*x^3+4*f(x)*x-f(x)-2*x+1) ogf] A132730 9.71549 [-(4*x^3-2*x+1)/(2*x-1)/(x-1)^2 ogf] A132732 12.2375 [-2*(-1+3*x+6*x^3-6*x^2)/(x-1)/(2*x-1)/(2*x^3+x^2-2*x+1) lgdogf] A132732 5.16389 [{-a(n+4)+4*a(n+3)-5*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A132732 6.31077 [-(1+3*f(x))*(2*f(x)*x^3-5*f(x)*x^2+2*x^3+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A132732 9.95359 [-(2*x^3+x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A132734 6.53818 [-(2+5*f(x))*(2*f(x)*x^3-5*f(x)*x^2+4*x^3+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A132736 10.1963 [(2*x^3-2*x^2+2*x-1)/(2*x-1)/(x-1)^2 ogf] A132736 12.5397 [-2*(1-2*x+3*x^3-x^2)/(x-1)/(-1+2*x)/(2*x^3-2*x^2+2*x-1) lgdogf] A132736 5.28981 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=10} ogf] A132736 5.81442 [(11*f(x)+74)*(2*f(x)*x^3-5*f(x)*x^2-2*x^3+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A132738 11.2496 [(4*x^3-4*x^2+2*x-1)/(2*x-1)/(x-1)^2 ogf] A132738 14.6584 [-2*(1+6*x^3-6*x^2)/(x-1)/(2*x-1)/(4*x^3-4*x^2+2*x-1) lgdogf] A132738 5.83628 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=16} ogf] A132738 6.06426 [-(111*f(x)+1096)*(2*f(x)*x^3-5*f(x)*x^2-4*x^3+4*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A132750 4.91170 [{a(n+4)-5*a(n+3)+8*a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=9,a(3)=21} ogf] A132750 5.26819 [-(8*f(x)+85)*(4*f(x)*x^3-8*f(x)*x^2+4*x^3+5*f(x)*x-3*x^2-f(x)-x+1) ogf] A132750 9.46748 [-(4*x^3-3*x^2-x+1)/(x-1)/(2*x-1)^2 ogf] A132753 11.2590 [-(6*x^2-8*x+3)/(2*x-1)/(x-1)^2 ogf] A132753 12.4641 [-2*(3*x-2)*(2*x^2-2*x+1)/(x-1)/(2*x-1)/(4*x^3-4*x^2+1) lgdogf] A132753 6.07785 [(47*f(x)-22)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+6*x^2-f(x)-8*x+3) ogf] A132753 6.13212 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=3,a(1)=4,a(2)=7} ogf] A132754 12.2646 [x*(11*x-12)/(x-1)^3 ogf] A132754 26.3751 [-(-25+22*x)/(x-1)/(11*x-12) lgdogf] A132754 6.13232 [-(69*f(x)-38779)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+12*x) ogf] A132754 6.40365 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=25} ogf] A132755 12.3295 [x*(12*x-13)/(x-1)^3 ogf] A132755 26.5169 [-3*(-9+8*x)/(x-1)/(12*x-13) lgdogf] A132755 6.06202 [-(281*f(x)-201117)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-12*x^2-f(x)+13*x) ogf] A132755 6.43754 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=27} ogf] A132756 12.3295 [x*(13*x-14)/(x-1)^3 ogf] A132756 26.5169 [-(-29+26*x)/(x-1)/(13*x-14) lgdogf] A132756 6.06202 [-(647*f(x)-579195)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-13*x^2-f(x)+14*x) ogf] A132756 6.43754 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=14,a(2)=29} ogf] A132757 12.4593 [x*(14*x-15)/(x-1)^3 ogf] A132757 25.8433 [-(-31+28*x)/(-1+x)/(14*x-15) lgdogf] A132757 6.12583 [-(369*f(x)-406808)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-14*x^2-f(x)+15*x) ogf] A132757 6.50530 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=31} ogf] A132758 12.1297 [x*(15*x-16)/(x-1)^3 ogf] A132758 24.2839 [-3*(-11+10*x)/(x-1)/(15*x-16) lgdogf] A132758 5.91448 [-(835*f(x)-1118481)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+16*x) ogf] A132758 6.33320 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=33} ogf] A132759 12.1222 [2*x*(6*x-7)/(x-1)^3 ogf] A132759 28.1544 [-3*(-5+4*x)/(x-1)/(6*x-7) lgdogf] A132759 6.06112 [-(89*f(x)-19608)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-12*x^2-f(x)+14*x) ogf] A132759 6.32931 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=30} ogf] A132760 12.2505 [2*x*(7*x-8)/(x-1)^3 ogf] A132760 28.4571 [-(-17+14*x)/(x-1)/(7*x-8) lgdogf] A132760 6.07378 [-(227*f(x)-74898)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-14*x^2-f(x)+16*x) ogf] A132760 6.39628 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=34} ogf] A132761 12.2505 [2*x*(8*x-9)/(x-1)^3 ogf] A132761 28.4571 [-(-19+16*x)/(x-1)/(8*x-9) lgdogf] A132761 6.39628 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=18,a(2)=38} ogf] A132761 7.06414 [-(141*f(x)-66430)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-16*x^2-f(x)+18*x) ogf] A132762 12.3146 [2*x*(9*x-10)/(x-1)^3 ogf] A132762 26.4893 [-3*(-7+6*x)/(-1+x)/(9*x-10) lgdogf] A132762 6.42977 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=20,a(2)=42} ogf] A132762 7.15699 [-(49*f(x)-31746)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-18*x^2-f(x)+20*x) ogf] A132763 12.4429 [2*x*(10*x-11)/(x-1)^3 ogf] A132763 26.7696 [-(-23+20*x)/(x-1)/(10*x-11) lgdogf] A132763 6.49675 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=22,a(2)=46} ogf] A132763 7.10257 [-(205*f(x)-177156)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-20*x^2-f(x)+22*x) ogf] A132764 12.4429 [x*(21*x-23)/(x-1)^3 ogf] A132764 26.7696 [-6*(-8+7*x)/(x-1)/(21*x-23) lgdogf] A132764 6.49675 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=23,a(2)=48} ogf] A132764 6.98614 [-(7132*f(x)-7049325)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-21*x^2-f(x)+23*x) ogf] A132765 12.4429 [2*x*(11*x-12)/(x-1)^3 ogf] A132765 26.7696 [-(-25+22*x)/(x-1)/(11*x-12) lgdogf] A132765 6.49675 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=50} ogf] A132765 7.22295 [-(69*f(x)-77558)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-22*x^2-f(x)+24*x) ogf] A132766 12.5071 [x*(23*x-25)/(x-1)^3 ogf] A132766 25.0539 [-2*(-26+23*x)/(x-1)/(23*x-25) lgdogf] A132766 6.53024 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=25,a(2)=52} ogf] A132766 6.76673 [-(8348*f(x)-10614807)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-23*x^2-f(x)+25*x) ogf] A132767 12.5071 [2*x*(12*x-13)/(x-1)^3 ogf] A132767 26.9098 [-3*(-9+8*x)/(x-1)/(12*x-13) lgdogf] A132767 6.53024 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=26,a(2)=54} ogf] A132767 6.9359 [-(281*f(x)-402234)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-24*x^2-f(x)+26*x) ogf] A132768 12.5071 [x*(25*x-27)/(x-1)^3 ogf] A132768 25.0539 [-2*(-28+25*x)/(x-1)/(25*x-27) lgdogf] A132768 6.53024 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=27,a(2)=56} ogf] A132768 6.8222 [-(1380*f(x)-2213831)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-25*x^2-f(x)+27*x) ogf] A132769 12.5712 [2*x*(13*x-14)/(x-1)^3 ogf] A132769 27.0500 [-(-29+26*x)/(x-1)/(13*x-14) lgdogf] A132769 6.56373 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=28,a(2)=58} ogf] A132769 6.91057 [-(647*f(x)-1158390)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-26*x^2-f(x)+28*x) ogf] A132770 12.5712 [x*(27*x-29)/(x-1)^3 ogf] A132770 26.0839 [-6*(-10+9*x)/(x-1)/(27*x-29) lgdogf] A132770 6.56373 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=29,a(2)=60} ogf] A132770 6.74338 [-(11068*f(x)-22030491)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-27*x^2-f(x)+29*x) ogf] A132771 12.5712 [2*x*(14*x-15)/(x-1)^3 ogf] A132771 27.0500 [-(-31+28*x)/(x-1)/(14*x-15) lgdogf] A132771 6.56373 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=30,a(2)=62} ogf] A132771 6.96816 [-(369*f(x)-813616)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-28*x^2-f(x)+30*x) ogf] A132772 12.2398 [x*(29*x-31)/(x-1)^3 ogf] A132772 23.6956 [-2*(-32+29*x)/(-1+x)/(29*x-31) lgdogf] A132772 6.39071 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=31,a(2)=64} ogf] A132772 6.88566 [-(1796*f(x)-4371939)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-29*x^2-f(x)+31*x) ogf] A132773 12.3036 [2*x*(15*x-16)/(x-1)^3 ogf] A132773 24.6423 [-3*(-11+10*x)/(x-1)/(15*x-16) lgdogf] A132773 6.42400 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=32,a(2)=66} ogf] A132773 6.97456 [-(835*f(x)-2236962)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-30*x^2-f(x)+32*x) ogf] A132780 11.1436 [-(-1+2*x+5*x^4-10*x^3+4*x^5+x^2)/(-1+2*x)/(x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A132780 12.4729 [(x^2+x-1)/(x+1)/(2*x-1)/(x^2-x+1) ogf] A132780 6.61604 [-(3*f(x)-4)*(2*f(x)*x^4-f(x)*x^3+2*f(x)*x-x^2-f(x)-x+1) ogf] A132796 10.1331 [-2*x*(-5-11*x^2+9*x^3+11*x)/(x-1)/(2*x-1)/(1+x)/(3*x^2-2*x+1) lgdogf] A132796 7.71588 [-x*(3*x^2-2*x+1)/(2*x-1)/(x-1)^2/(x+1)^2 ogf] A132798 11.8254 [-f(x)*x^3+x^2-f(x)+2*x ogf] A132798 12.8765 [x*(x+2)/(x+1)/(x^2-x+1) ogf] A132798 20.2196 [-(-1+2*x^3+6*x^2)/(x+2)/(1+x)/(x^2-x+1) lgdogf] A132798 7.72589 [{a(n+3)+a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A132804 11.3525 [-8*f(x)*x^2-7*f(x)*x+f(x)-6*x ogf] A132804 14.3622 [1/16*(-7*x-6+(27*x^2+28*x+12)^(1/2)*3^(1/2))/x revogf] A132804 18.1025 [-6*x/(x+1)/(8*x-1) ogf] A132804 28.7244 [-(7+16*x)/(x+1)/(8*x-1) lgdogf] A132804 8.26906 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=0,a(1)=6} ogf] A132805 12.2594 [-8*f(x)*x^2-7*f(x)*x+f(x)-3*x ogf] A132805 15.8673 [1/16*(-3-7*x+(3+14*x+27*x^2)^(1/2)*3^(1/2))/x revogf] A132805 19.5487 [-3*x/(x+1)/(8*x-1) ogf] A132805 29.7513 [-(7+16*x)/(x+1)/(-1+8*x) lgdogf] A132805 8.92967 [{-a(n+2)+7*a(n+1)+8*a(n),a(0)=0,a(1)=3} ogf] A132820 3.10861 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2-64*f(x)*x^3+f(x)^2*x+48*f(x)*x^2-x^3-12*f(x)*x-12*x^2+f(x)+7*x-1 ogf] A132824 11.4479 [-(4*x^3-x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A132824 5.98413 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=4} ogf] A132824 6.42199 [-(5*f(x)-7)*(2*f(x)*x^3-5*f(x)*x^2+4*x^3+4*f(x)*x-x^2-f(x)-2*x+1) ogf] A132835 4.76558 [-(7*x^12+10*x^9+2*x^6+3*x^3-2)/(3*x-1)/(3*x^12+x^9-2*x^6-x^3-2) ogf] A132837 3.37772 [(89*x^12-160*x^10-128*x^8-96*x^6-171*x^4+20*x^2+15)/(4*x-1)/(40*x^10+12*x^8-32*x^6+26*x^4-50*x^2-15) ogf] A132839 6.84197 [-(27*x^10+22*x^5-6)/(5*x-1)/(7*x^10-2*x^5-6) ogf] A132863 12.3097 [-9*f(x)^2*x-f(x)^2+5*f(x)-4 ogf] A132863 4.36797 [{(144*n+216)*a(n+1)+(7*n-3)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=21} ogf] A132864 11.5674 [-16*f(x)^2*x-f(x)^2+6*f(x)-5 ogf] A132864 13.2500 [-4*(-2+40*x+3*(1-20*x)^(1/2))/(16*x+1)/(-1+20*x) lgdogf] A132864 17.1892 [1/5*(3-8*x+2*(1-12*x+16*x^2)^(1/2))*x revogf] A132864 4.15242 [{(320*n+480)*a(n+1)+(4*n-18)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=36} ogf] A132865 12.3561 [-25*f(x)^2*x-f(x)^2+7*f(x)-6 ogf] A132865 4.43553 [{(600*n+900)*a(n+1)+(-n-39)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=55} ogf] A132866 12.5496 [1/7*(4-18*x+3*(1-16*x+36*x^2)^(1/2))*x revogf] A132866 3.08846 [{(1008*n+1512)*a(n+1)+(-8*n-66)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=6,a(2)=78} ogf] A132866 8.71385 [-36*f(x)^2*x-f(x)^2+8*f(x)-7 ogf] A132866 9.93511 [-6*(-3+84*x+4*(1-28*x)^(1/2))/(36*x+1)/(-1+28*x) lgdogf] A132867 11.9744 [-49*f(x)^2*x-f(x)^2+9*f(x)-8 ogf] A132868 12.9780 [(2*x^2-1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A132868 6.48903 [(19985*f(x)-6798)*(3*f(x)*x^4-f(x)*x^3+3*f(x)*x-2*x^2-f(x)+1) ogf] A132869 10.5245 [-8*(-4+144*x+5*(1-36*x)^(1/2))/(64*x+1)/(-1+36*x) lgdogf] A132869 12.2786 [1/9*(5-32*x+4*((-1+16*x)*(4*x-1))^(1/2))*x revogf] A132869 3.27200 [{(2304*n+3456)*a(n+1)+(-28*n-138)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=8,a(2)=136} ogf] A132869 9.24196 [-64*f(x)^2*x-f(x)^2+10*f(x)-9 ogf] A132894 25.4132 [-2*(2+3*x)/(x+1)/(-1+3*x) lgdogf] A132894 4.32956 [{(-2-n)*a(n+3)+(6+2*n)*a(n+2)+(6+3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A132894 7.41498 [27*f(x)^2*x^4-18*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+x^2 ogf] A132897 3.37533 [{(3240*n+4860)*a(n+1)+(-41*n-183)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=9,a(2)=171} ogf] A132897 9.36944 [-81*f(x)^2*x-f(x)^2+11*f(x)-10 ogf] A132900 11.9974 [9*f(x)^2*x^2+3*f(x)*x-f(x)+1 ogf] A132900 3.69603 [{(-27*n-54)*a(n+1)+(-6*n-21)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=3,a(2)=18} ogf] A132900 37.1471 [x/(1+3*x+9*x^2) revogf] A132911 4.45342 [{(2*n^2+9*n+9)*a(n+1)-a(n+2),a(0)=1,a(1)=2} ogf] A132912 6.53539 [{(2*n^2+11*n+12)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A132925 10.0034 [-(x^2+x-1)/(2*x-1)/(x-1)^3 ogf] A132925 15.0332 [-(4-12*x+4*x^3+7*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A132925 5.07523 [-(95*f(x)+312)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x+x^2+f(x)+x-1) ogf] A132951 13.4920 [{a(n+3)+a(n),a(0)=1,a(1)=3,a(2)=1} ogf] A132951 13.6718 [(6*f(x)+5)*(f(x)*x^3-x^2+f(x)-3*x-1) ogf] A132951 20.9263 [(x^2+3*x+1)/(x+1)/(x^2-x+1) ogf] A132951 23.7640 [-(-3-2*x+x^4+6*x^3+3*x^2)/(x+1)/(x^2+3*x+1)/(x^2-x+1) lgdogf] A132954 12.0544 [-(-2-8*x+4*x^4+4*x^3+3*x^2)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1) lgdogf] A132954 13.2636 [(4*x^2+2*x+1)/(x+1)/(x^2-x+1) ogf] A132954 8.22676 [-(f(x)-5)*(f(x)*x^3-4*x^2+f(x)-2*x-1) ogf] A132954 8.55151 [{a(n+3)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A132965 10.3399 [-(-x^7+2*x^6-2*x^5+2*x^4+2*x^2-2*x+2)/(x^8-1) ogf_with_Euler_transform] A132965 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/4*Pi)*2^(5/16)/GAMMA(7/8)*GAMMA(5/8)/Pi^(1/4)/(2^(1/2)*(2-2^(1/2))^(1/2))^(1/2)/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2)*(2+2^(1/2))^(1/4) A132966 7.03411 [-(-x^7-x^6+x^5-x^4-3*x^3-x^2+x-1)/(x^8-1) ogf_with_Euler_transform] A132966 99.9999 Evaluated at exp(-Pi) 1/4*exp(-1/8*Pi)/Pi^(1/4)*2^(3/4)/GAMMA(7/8)*GAMMA(5/8)*(2+2^(1/2)) A132969 14.3184 [-(x^3-3*x^2+4*x-3)/(-x^4+1) ogf_with_Euler_transform] A132969 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)*Pi^(1/4)*2^(1/4)/GAMMA(3/4) A132970 21.0709 [-(-x-3)/(x^2-1) ogf_with_Euler_transform] A132970 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/24*Pi)*Pi^(1/4)*2^(7/8)/GAMMA(3/4) A132972 99.9999 Evaluated at exp(-Pi) 1/3*Pi^(1/3)*3^(2/3)/GAMMA(2/3)^(2/3)*GAMMA(3/4)^(4/3)*(2^(1/2)*(1+3^(1/2)))^(1/3)/GAMMA(11/12)^(1/3)*2^(1/2)*(3^(1/2)-1)/GAMMA(7/12) A132973 5.50383 [-(2*x^11+3*x^10+2*x^8+3*x^7+3*x^6+3*x^4+3*x^3+2*x^2+3)/(-x^12+1) ogf_with_Euler_transform] A132973 99.9999 Evaluated at exp(-Pi) 1/8*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)*2^(1/2)*(1+3^(1/2))/GAMMA(11/12) A132974 99.9999 Evaluated at exp(-Pi) 2/3*3^(1/2)/GAMMA(2/3)*GAMMA(3/4)*GAMMA(11/12)*2^(1/2)*(3^(1/2)-1) A132977 99.9999 Evaluated at exp(-Pi) 2/9*exp(1/3*Pi)*3^(1/2) A132978 99.9999 Evaluated at exp(-Pi) 2/9*exp(2/3*Pi)*Pi/GAMMA(2/3)^2*GAMMA(11/12)/GAMMA(7/12)*(3^(1/2)-1)^2 A132979 15.6228 [-(2*x^2-3*x+3)/(x^3+1) ogf_with_Euler_transform] A132980 10.4963 [-(x^6+2*x^4-2*x^2-1)/(x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A132998 13.3468 [-2*(2+33*x+x^3+24*x^2)/(x-1)/(x^3+15*x^2+9*x-1) lgdogf] A132998 3.56309 [{(-11*n^2-51*n-58)*a(n+1)+(7*n^2-18*n-37)*a(n+2)+(4*n^2+9*n+2)*a(n+3),a(0)=0,a(1)=-1,a(2)=4} ogf] A132998 6.89380 [-x*(x^3+15*x^2+9*x-1)/(x-1)^5 ogf] A132999 10.0069 [(2+4*x^6-9*x^5+26*x^25-51*x^26+25*x^27+5*x^4)/(x-1)/(x^27-x^26+x^6-x^5-1) lgdogf] A132999 10.9883 [-(x^27-x^26+x^6-x^5-1)/(x-1)^2 ogf] A133012 10.3713 [(2+2*x+x^3-3*x^2-23*x^12+11*x^13+12*x^11)/(x-1)/(x^13-x^12+x^3-x^2-1) lgdogf] A133012 9.75723 [-2*(x^13-x^12+x^3-x^2-1)/(x-1)^2 ogf] A133016 10.5870 [(2+2*x+x^3-3*x^2-23*x^12+11*x^13+12*x^11)/(x-1)/(x^13-x^12+x^3-x^2-1) lgdogf] A133016 9.96015 [-(x^13-x^12+x^3-x^2-1)/(x-1)^2 ogf] A133024 3.04958 [(2*f(x)*x-f(x)+1)^2 ogf] A133025 6.85659 [-(f(x)-2)*(2*f(x)*x-f(x)+1)^2 ogf] A133034 13.4276 [-(2*x^2-1)/(x^3+x^2-1) ogf] A133034 18.9349 [-x*(2+2*x^3-3*x)/(2*x^2-1)/(x^3+x^2-1) lgdogf] A133034 7.65227 [{a(n+3)-a(n+1)-a(n),a(0)=-1,a(1)=0,a(2)=1} ogf] A133034 7.99618 [(f(x)+1)*(f(x)*x^3+f(x)*x^2+2*x^2-f(x)-1) ogf] A133037 7.79484 [-x^2*(5*x^4-4*x^3+x^8-6*x-x^6+6*x^5+2*x^2+3)/(x^3-x-1)/(x^3-x^2+2*x-1)/(x^5+x^2+x-1) lgdogf] A133037 8.84180 [-(x^5+x^2+x-1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A133038 4.64131 [(x^9-x^8+x^7+x^6-5*x^5+x^4-2*x^3-2*x^2-x+1)/(x-1)/(x^3-2*x^2+3*x-1)/(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1) ogf] A133039 4.34719 [2*x^8*(x^7-x^6+2*x^5+x^2-2*x+2)/(x-1)/(x^3-x^2+2*x-1)/(x^3-2*x^2+3*x-1)/(x^3-x-1)/(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1) ogf] A133043 10.7836 [-(x^4-x^3+x^2+x-3)/(x-1)^2 ogf] A133043 14.8495 [(5-3*x-5*x^3+3*x^2+2*x^4)/(x-1)/(x^4-x^3+x^2+x-3) lgdogf] A133043 6.41438 [-(14*f(x)+627)*(x^4+f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+x-3) ogf] A133044 10.0569 [(x^3+x+1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A133070 14.2797 [-2*(x+5)*(x^3+30*x^2+27*x+2)/(x-1)/(x^4+22*x^3+72*x^2+26*x-1) lgdogf] A133070 7.91145 [x*(x^4+22*x^3+72*x^2+26*x-1)/(x-1)^6 ogf] A133071 13.1440 [-2*(-14-127*x-183*x^2-37*x^3+x^4)/(x-1)/(x^4-26*x^3-72*x^2-22*x-1) lgdogf] A133071 7.91145 [-x*(x^4-26*x^3-72*x^2-22*x-1)/(x-1)^6 ogf] A133072 13.8828 [-6*(x+1)*(x^3+14*x^2+39*x+6)/(x-1)/(3*x^4+26*x^3+60*x^2+30*x+1) lgdogf] A133072 7.97551 [x*(3*x^4+26*x^3+60*x^2+30*x+1)/(x-1)^6 ogf] A133073 13.4556 [-2*(22+125*x+165*x^2+47*x^3+x^4)/(x-1)/(x^4+30*x^3+60*x^2+26*x+3) lgdogf] A133073 7.97551 [x*(x^4+30*x^3+60*x^2+26*x+3)/(x-1)^6 ogf] A133078 13.8728 [-(-8*x^2-12*x-12)/(x^3-1) ogf_with_Euler_transform] A133079 99.9999 Evaluated at exp(-Pi) 1/3*exp(1/24*Pi)*Pi^(5/4)*2^(1/4)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^2*(3^(1/2)-1)/GAMMA(7/12) A133086 13.2540 [(2*x^3-2*x^2+1)/(2*x-1)^2 ogf] A133086 6.51274 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=10,a(3)=26} ogf] A133086 7.70895 [(3*f(x)-37)*(4*f(x)*x^2-2*x^3-4*f(x)*x+2*x^2+f(x)-1) ogf] A133089 10.0548 [-(-3*x^3+3*x^2-6*x+3)/(x^4-1) ogf_with_Euler_transform] A133089 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(3/4)*2^(1/4)/GAMMA(3/4)^3 A133090 14.6065 [(x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A133090 9.04209 [(258*f(x)+527)*(f(x)*x^4-2*f(x)*x^2-x^3-3*x^2+f(x)-x-1) ogf] A133092 11.4748 [-(4*x^3+3*x^2+4*x+1)/(x-1)^3/(x+1)^3 ogf] A133095 13.6744 [-(2*x^3-2*x^2+1)/(2*x-1)/(x-1)^2 ogf] A133095 6.68299 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=4,a(2)=9,a(3)=20} ogf] A133095 7.66239 [(37*f(x)+2)*(2*f(x)*x^3-5*f(x)*x^2+2*x^3+4*f(x)*x-2*x^2-f(x)+1) ogf] A133099 7.40677 [-(-2*x^11-2*x^10-2*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x^13-1) ogf_with_Euler_transform] A133100 4.35636 [-(-x^8-x^6-x^5-x^3-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A133101 4.10198 [-(x^8+x^7-x^5+x^3+2*x^2+x)/(-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A133106 11.3472 [-(20*x^2+8*x-1+(-(2*x-1)*(2*x+1))^(1/2))/x/(2*x+1)/(2*x-1) lgdogf] A133111 15.9537 [-4*(4+15*x+2*x^3+12*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A133111 4.83782 [-x^3*(x+1)*(x^2+4*x+1)/(x-1)^11 ogf] A133111 5.53391 [{(n^2+10*n+24)*a(n+1)+(-n^2+1)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A133124 13.7008 [-(x^3-x+1)/(2*x-1)/(x-1)^2 ogf] A133124 6.28381 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=16} ogf] A133124 7.20472 [-(26*f(x)-3)*(2*f(x)*x^3-5*f(x)*x^2+x^3+4*f(x)*x-f(x)-x+1) ogf] A133125 11.3394 [(9*f(x)-1)*(9*f(x)*x^2-f(x)+4*x+1) ogf] A133125 11.8710 [{a(n+2)-9*a(n),a(0)=1,a(1)=4} ogf] A133125 18.2052 [-2*(2+9*x+18*x^2)/(4*x+1)/(3*x-1)/(1+3*x) lgdogf] A133125 18.5303 [-(4*x+1)/(3*x-1)/(3*x+1) ogf] A133125 19.6424 [1/2/(4+9*x)*(-1+(1+16*x+36*x^2)^(1/2)) revogf] A133129 11.4014 [-(x^2-2*x-1)/(2*x^3-3*x^2-6*x+1) ogf] A133129 5.99556 [(1258*f(x)+167)*(2*f(x)*x^3-3*f(x)*x^2-6*f(x)*x+x^2+f(x)-2*x-1) ogf] A133129 6.15473 [{a(n+3)-6*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=8,a(2)=50} ogf] A133131 10.1050 [(x^4+x^3-x^2+x+1)/(x+1)/(x^2+1)^2 ogf] A133131 16.9846 [-x*(6+2*x^4+x^5+6*x-4*x^2-5*x^3)/(x+1)/(x^2+1)/(x^4+x^3-x^2+x+1) lgdogf] A133137 15.2221 [-(x^2-x+1)*(x^15-x^13-x^12+x^10+x^9-x^7-x^6+x^4+x^3-x-1)/(x-1)^2 ogf] A133137 9.89881 [(2-31*x^16+16*x^15+15*x^17)/(x-1)/(x^2-x+1)/(x^15-x^13-x^12+x^10+x^9-x^7-x^6+x^4+x^3-x-1) lgdogf] A133140 10.5388 [2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+2*x-2 ogf] A133140 14.1180 [-2*(x^2+x-1)/(2*x-1)/(x-1) ogf] A133140 18.8274 [-(2-6*x+5*x^2)/(-1+x)/(2*x-1)/(x^2+x-1) lgdogf] A133140 7.33581 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=2,a(1)=4,a(2)=6} ogf] A133141 3.63464 [(42079503747*f(x)-32058740)*(f(x)*x^3-483*f(x)*x^2+483*f(x)*x+x^2-f(x)-152*x+1) ogf] A133141 3.95969 [{-a(n+3)+483*a(n+2)-483*a(n+1)+a(n),a(0)=1,a(1)=331,a(2)=159391} ogf] A133141 7.26928 [-(x^2-152*x+1)/(x-1)/(x^2-482*x+1) ogf] A133142 3.94158 [(24005829834166*f(x)-1009209184439)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x+61*x^2-f(x)-242*x+1) ogf] A133142 4.50023 [{-a(n+3)+1443*a(n+2)-1443*a(n+1)+a(n),a(0)=1,a(1)=1201,a(2)=1731661} ogf] A133142 8.16470 [-(61*x^2-242*x+1)/(x-1)/(x^2-1442*x+1) ogf] A133145 12.5311 [-(2*x+1)*(4*x^2+1)/(x-1)/(x+1)/(x^2+1) ogf] A133145 8.11672 [{-a(n+4)+a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A133145 8.70928 [-2*(1+4*x+4*x^6+4*x^5+3*x^4+2*x^3+12*x^2)/(-1+x)/(2*x+1)/(x+1)/(4*x^2+1)/(x^2+1) lgdogf] A133145 9.0414 [-f(x)*(f(x)*x^4+8*x^3+4*x^2-f(x)+2*x+1) ogf] A133146 13.1081 [-(5+9*x+4*x^4+3*x^3+2*x^5+13*x^2)/(x-1)/(1+2*x)/(x+1)/(x^3-x+2) lgdogf] A133146 9.04961 [-(2*x+1)*(x^3-x+2)/(x+1)^2/(x-1)^3 ogf] A133153 10.6927 [-(x^8+x^7+x^6+x^4+x^2+x+1)/(x^10-1) ogf_with_Euler_transform] A133158 3.31903 [{(-36*n-72)*a(n+1)+(48*n+126)*a(n+2)+(-19*n-64)*a(n+3)+(2*n+8)*a(n+4),a(0)=1,a(1)=3,a(2)=12,a(3)=57} ogf] A133158 7.31615 [-18*f(x)^2*x^2+15*f(x)^2*x-2*f(x)^2-6*f(x)*x+f(x)+1 ogf] A133161 10.3677 [-(x^2-x+1)/(x-1)/(x^2-4*x+1) ogf] A133161 13.4722 [-(x-2)*(x^3+3*x-2)/(x-1)/(x^2-4*x+1)/(x^2-x+1) lgdogf] A133161 5.59674 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A133161 5.69759 [(9*f(x)-1)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+x^2-f(x)-x+1) ogf] A133186 11.0043 [(4*x^2+3*x+1)/(x+1)/(x^2+1) ogf] A133186 13.3859 [-2*(-1-3*x+2*x^4+3*x^3+x^2)/(x+1)/(4*x^2+3*x+1)/(1+x^2) lgdogf] A133186 5.94039 [(22*f(x)-37)*(f(x)*x^3+f(x)*x^2+f(x)*x-4*x^2+f(x)-3*x-1) ogf] A133186 5.99342 [{-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=1} ogf] A133188 9.56882 [x^2*(x^12-x^10-x^6+x^4+x^2+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A133189 10.5039 [(-4-2*n)*a(n+3)+(2-n)*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=3/2 lgdegf] A133190 12.0372 [(2*x+1)*(x-1)/(2*x-1)/(x^2+1) ogf] A133190 12.6365 [-(-3+6*x+4*x^4-4*x^3-9*x^2)/(x-1)/(2*x+1)/(2*x-1)/(x^2+1) lgdogf] A133190 6.44094 [(59*f(x)-284)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x-2*x^2-f(x)+x+1) ogf] A133190 6.55596 [{a(n+3)-2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A133195 10.1995 [3*x*(x^2+x+1)/(x-1)/(10*x^3-1) ogf] A133195 10.5166 [-(-2-2*x+20*x^4+20*x^3+20*x^5-29*x^2)/(x-1)/(1+x+x^2)/(10*x^3-1) lgdogf] A133195 6.49768 [(90*f(x)+143)*(10*f(x)*x^4-10*f(x)*x^3-3*x^3-f(x)*x-3*x^2+f(x)-3*x) ogf] A133201 10.1995 [x*(x^2+x+1)/(x-1)/(10*x^3-1) ogf] A133201 10.5166 [-(-2-2*x+20*x^4+20*x^3+20*x^5-29*x^2)/(x-1)/(1+x+x^2)/(10*x^3-1) lgdogf] A133201 6.23777 [-(270*f(x)+143)*(10*f(x)*x^4-10*f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x) ogf] A133203 15.7452 [-(-3-50*x+29*x^2)/(x-1)/(18*x^3-25*x^2-1) lgdogf] A133203 5.17024 [(56768*f(x)-9713629)*(f(x)*x^3-18*x^4-3*f(x)*x^2+25*x^3+3*f(x)*x-f(x)+x) ogf] A133203 9.80031 [x*(18*x^3-25*x^2-1)/(x-1)^3 ogf] A133209 10.8923 [-(10*x^2-10*x+3)/(2*x-1)/(2*x^2-2*x+1) ogf] A133209 5.86509 [-(f(x)-3)*(4*f(x)*x^3-6*f(x)*x^2+4*f(x)*x+10*x^2-f(x)-10*x+3) ogf] A133209 6.18214 [{a(n+3)-4*a(n+2)+6*a(n+1)-4*a(n),a(0)=3,a(1)=2,a(2)=0} ogf] A133209 9.84471 [-2*(1-8*x+20*x^4-40*x^3+28*x^2)/(2*x-1)/(2*x^2-2*x+1)/(10*x^2-10*x+3) lgdogf] A133212 10.3082 [-(4*x^3+2*x^2+1)/(2*x-1)/(2*x^2-2*x+1) ogf] A133212 5.00027 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=12,a(3)=32} ogf] A133212 5.58363 [-(17*f(x)-3)*(4*f(x)*x^3-6*f(x)*x^2+4*x^3+4*f(x)*x+2*x^2-f(x)+1) ogf] A133212 9.79749 [-4*(1-2*x+4*x^2-8*x^3+8*x^4)/(-1+2*x)/(2*x^2-2*x+1)/(4*x^3+2*x^2+1) lgdogf] A133216 6.55150 [-x*(x^4+9*x^3+376*x^2+9*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A133217 7.08705 [-x*(x^4+x^3-16*x^2+x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A133218 7.37308 [x*(2*x^4+3*x^3-17*x^2-3*x-1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A133221 3.43143 [{(n^3-2*n^2-3*n)*a(n)+(7*n^3+34*n^2+43*n+16)*a(n+1)+(-n^2-4*n-19)*a(n+2)+(-7*n^2-20*n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A133223 12.7023 [(x^4-x^2+x+2)/(x+1)/(x-1)^2 ogf] A133223 6.08653 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2),a(0)=2,a(1)=3,a(2)=4,a(3)=5,a(4)=7} ogf] A133223 7.01168 [-(71*f(x)-17)*(f(x)*x^3-x^4-f(x)*x^2-f(x)*x+x^2+f(x)-x-2) ogf] A133224 3.47362 [-(2192*f(x)+1169)*(64*f(x)*x^4-96*f(x)*x^3+52*f(x)*x^2-14*x^3-12*f(x)*x+10*x^2+f(x)-2*x) ogf] A133224 6.55149 [2*x*(7*x^2-5*x+1)/(4*x-1)^2/(2*x-1)^2 ogf] A133224 9.07919 [-(-7+48*x+112*x^3-120*x^2)/(2*x-1)/(4*x-1)/(1+7*x^2-5*x) lgdogf] A133238 3.44904 [{(2*n^3+47*n^2+366*n+945)*a(n+1)+(38*n^2+456*n+1540)*a(n+2)+(-2*n^3-25*n^2-102*n-135)*a(n+3),a(0)=1,a(1)=52,a(2)=1053} ogf] A133239 3.37956 [{(n^3+31*n^2+318*n+1080)*a(n+1)+(25*n^2+375*n+1586)*a(n+2)+(-n^3-14*n^2-63*n-90)*a(n+3),a(0)=1,a(1)=78,a(2)=2430} ogf] A133240 3.01365 [{(n^3+46*n^2+699*n+3510)*a(n+1)+(37*n^2+777*n+4598)*a(n+2)+(-n^3-17*n^2-90*n-144)*a(n+3),a(0)=1,a(1)=133,a(2)=7371} ogf] A133241 3.30519 [{(n^3+61*n^2+1228*n+8160)*a(n+1)+(49*n^2+1323*n+10050)*a(n+2)+(-n^3-20*n^2-121*n-210)*a(n+3),a(0)=1,a(1)=190,a(2)=15504} ogf] A133252 10.1367 [-(2*x^2+1)/(x-1)^5 ogf] A133252 24.8569 [-(5+4*x+6*x^2)/(x-1)/(2*x^2+1) lgdogf] A133252 4.00135 [{(n+4)*a(n+4)+(-8-n)*a(n+3)+2*n*a(n+2)+(-8-2*n)*a(n+1),a(0)=1,a(1)=5,a(2)=17,a(3)=45} ogf] A133256 11.1518 [-(2+x^7+6*x+6*x^5+6*x^4+11*x^3-x^6+x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A133256 11.6636 [(x^4-x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A133257 13.5150 [-(4*x^2-3*x-4)/(x-1)/(2*x^2-1) ogf] A133257 7.29569 [(41*f(x)-98)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+4*x^2+f(x)-3*x-4) ogf] A133257 7.29569 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=4,a(1)=7,a(2)=11} ogf] A133259 8.39042 [-2*(1+2*x^7-2*x^8+x^9-6*x^5+13*x^4-9*x^3+4*x^6+5*x^2)/(x-1)/(x^2+x+1)/(x^2-x+1)/(2*x^5-3*x^4+2*x^3+x^2+1) lgdogf] A133259 8.55334 [(2*x^5-3*x^4+2*x^3+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A133263 11.7955 [-(x^3-x^2+1)/(x-1)^3 ogf] A133263 23.4681 [-(3-2*x+2*x^2)/(x-1)/(x^3-x^2+1) lgdogf] A133263 5.80839 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=5,a(3)=8} ogf] A133263 6.66701 [(3*f(x)+2)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)+1) ogf] A133264 5.3875 [(315*f(x)+481)*(10*f(x)*x^4-10*f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A133264 8.35231 [-(-4-6*x-33*x^2-16*x^3+60*x^4+60*x^5+20*x^6)/(x-1)/(2*x+1)/(x^2+x+1)/(10*x^3-1) lgdogf] A133264 9.48504 [(2*x+1)*(x^2+x+1)/(x-1)/(10*x^3-1) ogf] A133265 15.2987 [-2*(x^2-x-1)/(x-1)^2/(x+1)^2 ogf] A133265 19.8720 [-(-1-2*x+2*x^3-3*x^2)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A133265 9.37659 [(f(x)+7)*(f(x)*x^4-2*f(x)*x^2+2*x^2+f(x)-2*x-2) ogf] A133266 4.02591 [(3*x^7+24*x^6-5*x^5-11*x^4+18*x^3-x^2-28*x+30)/(x-1)^2 ogf] A133271 4.82566 [(523*f(x)-3)*(f(x)*x^3-13*f(x)*x^2+13*f(x)*x+x^2-f(x)-5*x+1) ogf] A133271 4.82566 [{-a(n+3)+13*a(n+2)-13*a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=92} ogf] A133271 8.80875 [-(x^2-5*x+1)/(x-1)/(x^2-12*x+1) ogf] A133271 9.36879 [-(8-24*x+55*x^2-10*x^3+x^4)/(x-1)/(x^2-5*x+1)/(x^2-12*x+1) lgdogf] A133272 10.5413 [-(-7+26*x-81*x^2+12*x^3)/(x-1)/(6*x-1)/(x^2-12*x+1) lgdogf] A133272 4.57642 [-(1627465*f(x)+133559)*(f(x)*x^3-13*f(x)*x^2+13*f(x)*x-f(x)-6*x+1) ogf] A133272 4.77539 [{a(n+3)-13*a(n+2)+13*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=78} ogf] A133272 9.98491 [(6*x-1)/(x-1)/(x^2-12*x+1) ogf] A133273 10.4611 [-2*(-5+19*x-87*x^2+9*x^3)/(x-1)/(9*x-1)/(x^2-18*x+1) lgdogf] A133273 13.0091 [(9*x-1)/(x-1)/(x^2-18*x+1) ogf] A133273 5.86474 [-(31426480*f(x)+1734479)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-f(x)-9*x+1) ogf] A133273 6.11538 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=171} ogf] A133274 3.70882 [(13386232721*f(x)-63438466)*(f(x)*x^3-483*f(x)*x^2+483*f(x)*x+x^2-f(x)+310*x+1) ogf] A133274 4.04050 [{a(n+3)-483*a(n+2)+483*a(n+1)-a(n),a(0)=1,a(1)=793,a(2)=382537} ogf] A133274 7.41764 [-(x^2+310*x+1)/(x-1)/(x^2-482*x+1) ogf] A133275 11.7534 [-3*(x-1)/(x^2-22*x+1) ogf] A133275 12.0356 [-1/2*(-3-22*x+(9+120*x+480*x^2)^(1/2))/(x+3) revogf] A133275 16.5489 [-(21-2*x+x^2)/(x-1)/(x^2-22*x+1) lgdogf] A133275 5.81349 [-(460*f(x)-57)*(f(x)*x^2-22*f(x)*x+f(x)+3*x-3) ogf] A133275 6.43637 [{a(n+2)-22*a(n+1)+a(n),a(0)=3,a(1)=63} ogf] A133283 11.4520 [(x+1)/(x^2-22*x+1) ogf] A133283 11.9931 [-1/2*(-1-22*x+(1+48*x+480*x^2)^(1/2))/(x-1) revogf] A133283 15.6273 [-(-23+2*x+x^2)/(x+1)/(x^2-22*x+1) lgdogf] A133283 5.91901 [(504*f(x)+25)*(f(x)*x^2-22*f(x)*x+f(x)-x-1) ogf] A133283 6.27133 [{-a(n+2)+22*a(n+1)-a(n),a(0)=1,a(1)=23} ogf] A133284 4.23908 [(177759*f(x)-344)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x+x^2-f(x)-10*x+1) ogf] A133284 4.38401 [{-a(n+3)+23*a(n+2)-23*a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=277} ogf] A133284 8.01452 [-(x^2-10*x+1)/(x-1)/(x^2-22*x+1) ogf] A133284 8.22687 [-(13-44*x-20*x^3+x^4+210*x^2)/(x-1)/(x^2-22*x+1)/(x^2-10*x+1) lgdogf] A133285 4.13652 [-(133319880*f(x)+6033719)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x-f(x)-11*x+1) ogf] A133285 4.38401 [{a(n+3)-23*a(n+2)+23*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=253} ogf] A133285 9.12434 [-2*(-6+23*x+11*x^3-128*x^2)/(x-1)/(11*x-1)/(x^2-22*x+1) lgdogf] A133285 9.15945 [(11*x-1)/(x-1)/(x^2-22*x+1) ogf] A133292 10.2195 [-(2*x^8+4*x^7+7*x^6+2*x^5+7*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A133293 6.82807 [x*(x^6+3*x^5+6*x^4+x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1) ogf] A133294 13.1554 [(x-1)/(10*x^2+2*x-1) ogf] A133294 15.1951 [-(-1-20*x+10*x^2)/(-1+x)/(10*x^2+2*x-1) lgdogf] A133294 15.5949 [1/2/(10*x-1)*(-1-2*x+(1+44*x^2)^(1/2)) revogf] A133294 6.72389 [(154*f(x)-153)*(10*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A133294 7.29096 [{-a(n+2)+2*a(n+1)+10*a(n),a(0)=1,a(1)=1} ogf] A133296 5.98885 [x*(20*x^8+20*x^7+20*x^6+20*x^5+11*x^4+2*x^3+2*x^2+2*x+2)/(x-1)/(100*x^9-1) ogf] A133301 4.71712 [-(22*x^4+65395*x^3-483503*x^2+1925*x+1)/(x-1)/(x^2-1154*x+1)/(x^2+1154*x+1) ogf] A133305 12.186 [-4*f(x)^2*x-f(x)*x+f(x)-1 ogf] A133305 3.37547 [{(n^2+n)*a(n)+(-17*n^2-41*n-24)*a(n+1)+(-17*n^2-95*n-132)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=5,a(2)=45} ogf] A133305 30.1029 [-x*(4*x-1)/(1+x) revogf] A133306 13.0492 [-5*f(x)^2*x-f(x)*x+f(x)-1 ogf] A133306 3.59768 [{(n^2+n)*a(n)+(-21*n^2-51*n-30)*a(n+1)+(-21*n^2-117*n-162)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=6,a(2)=66} ogf] A133306 32.2278 [-x*(5*x-1)/(1+x) revogf] A133307 12.2269 [-6*f(x)^2*x-f(x)*x+f(x)-1 ogf] A133307 3.37097 [{(n^2+n)*a(n)+(-25*n^2-61*n-36)*a(n+1)+(-25*n^2-139*n-192)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=7,a(2)=91} ogf] A133307 32.1653 [-x*(-1+6*x)/(1+x) revogf] A133308 11.3165 [-7*f(x)^2*x-f(x)*x+f(x)-1 ogf] A133308 29.1937 [-x*(-1+7*x)/(1+x) revogf] A133308 3.10547 [{(n^2+n)*a(n)+(-29*n^2-71*n-42)*a(n+1)+(-29*n^2-161*n-222)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=8,a(2)=120} ogf] A133309 11.6105 [-8*f(x)^2*x-f(x)*x+f(x)-1 ogf] A133309 3.18613 [{(n^2+n)*a(n)+(-33*n^2-81*n-48)*a(n+1)+(-33*n^2-183*n-252)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=9,a(2)=153} ogf] A133309 30.0092 [-x*(-1+8*x)/(1+x) revogf] A133310 13.1617 [(x^3-x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A133310 16.4989 [-(2+7*x^2+x^5+3*x^3-x^4)/(x-1)/(x^2+x+1)/(x^3-x^2+x+1) lgdogf] A133310 5.53755 [{(-n-4)*a(n+1)-a(n+2)-a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=3} ogf] A133310 7.26526 [-(25*f(x)+53)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+x^2+f(x)-x-1) ogf] A133311 7.30070 [x*(x^9+2*x^8+2*x^7+2*x^6+2*x^5-7*x^4+2*x^3+2*x^2+2*x+2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A133317 4.18808 [{(-n^2-12*n-36)*a(n+1)+(2*n^2+18*n+63)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=35,a(2)=405} ogf] A133317 4.67928 [(x+1)*(x^4+24*x^3+76*x^2+24*x+1)/(x-1)^10 ogf] A133317 9.67350 [-5*(7+85*x+x^5+31*x^4+160*x^3+220*x^2)/(x-1)/(x+1)/(x^4+24*x^3+76*x^2+24*x+1) lgdogf] A133318 3.43449 [{(n^3+26*n^2+223*n+630)*a(n+1)+(21*n^2+273*n+990)*a(n+2)+(-n^3-13*n^2-54*n-72)*a(n+3),a(0)=1,a(1)=66,a(2)=1638} ogf] A133319 3.33810 [{(n^3+36*n^2+428*n+1680)*a(n+1)+(29*n^2+493*n+2355)*a(n+2)+(-n^3-15*n^2-71*n-105)*a(n+3),a(0)=1,a(1)=99,a(2)=3927} ogf] A133325 5.61725 [-(11480*f(x)-21001)*(f(x)*x^4-6*f(x)*x^2+7*x^3+13*x^2+f(x)-13*x-7) ogf] A133325 9.64157 [-(x-1)*(7*x^2+20*x+7)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A133326 12.0350 [2*(x+1)*(x^2+3*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A133326 7.45024 [(820*f(x)+201)*(f(x)*x^4-6*f(x)*x^2-2*x^3-8*x^2+f(x)-8*x-2) ogf] A133326 9.37404 [-(-4-20*x+x^6+8*x^5+18*x^4+4*x^3-27*x^2)/(x+1)/(1+3*x+x^2)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A133327 5.51587 [-(17*x^4+8160*x^3-20178*x^2+240*x+1)/(x-1)/(x^2+198*x+1)/(x^2-198*x+1) ogf] A133328 5.67275 [2*x*(6*x^3+2885*x^2-6726*x-85)/(x-1)/(x^2+198*x+1)/(x^2-198*x+1) ogf] A133331 3.09419 [(12*f(x)+1)*(3*f(x)*x^4-3*f(x)*x^2-3*x^3-3*x^2+f(x)-x) ogf] A133331 4.97098 [x*(3*x^2+3*x+1)/(3*x^4-3*x^2+1) ogf] A133331 5.17773 [-3*(-1-4*x+6*x^5+9*x^4+4*x^3-3*x^2)/(3*x^2+3*x+1)/(3*x^4-3*x^2+1) lgdogf] A133335 10.1044 [-(35*f(x)-18)*(5*f(x)*x^3+3*x^2-f(x)+2*x+1) ogf] A133335 10.7242 [-(2+6*x+15*x^4+20*x^3+15*x^2)/(3*x^2+2*x+1)/(5*x^3-1) lgdogf] A133335 11.8825 [-(3*x^2+2*x+1)/(5*x^3-1) ogf] A133335 7.66111 [{a(n+3)-5*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A133337 14.4307 [-5*f(x)*x^3-x^2+f(x)-x ogf] A133337 15.7135 [-x*(x+1)/(5*x^3-1) ogf] A133337 22.0141 [-(1+10*x^3+15*x^2)/(x+1)/(5*x^3-1) lgdogf] A133337 9.42808 [{-a(n+3)+5*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A133343 12.5657 [(x-1)/(13*x^2+2*x-1) ogf] A133343 14.8858 [-(-1-26*x+13*x^2)/(x-1)/(13*x^2+2*x-1) lgdogf] A133343 6.4225 [(238*f(x)-237)*(13*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A133343 6.96414 [{-a(n+2)+2*a(n+1)+13*a(n),a(0)=1,a(1)=1} ogf] A133345 12.7673 [(x-1)/(14*x^2+2*x-1) ogf] A133345 15.1298 [-(-1-28*x+14*x^2)/(x-1)/(14*x^2+2*x-1) lgdogf] A133345 6.52553 [(270*f(x)-269)*(14*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A133345 7.07588 [{-a(n+2)+2*a(n+1)+14*a(n),a(0)=1,a(1)=1} ogf] A133348 4.22148 [{(-n^2-20*n-99)*a(n+1)+(2*n^2+28*n+144)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=32,a(2)=462} ogf] A133348 7.75159 [-2*(16+190*x+91*x^5+5*x^6+658*x^2+868*x^3+460*x^4)/(x-1)/(x^6+16*x^5+70*x^4+112*x^3+70*x^2+16*x+1) lgdogf] A133349 3.83020 [{(-n^2-27*n-180)*a(n+1)+(2*n^2+36*n+240)*a(n+2)+(-n^2-9*n-18)*a(n+3),a(0)=1,a(1)=44,a(2)=891} ogf] A133350 5.49307 [(14*x^5+273*x^4+840*x^3+582*x^2+82*x+1)/(x-1)^8 ogf] A133350 8.09630 [-2*(45+869*x+21*x^5+581*x^4+2646*x^3+3006*x^2)/(x-1)/(14*x^5+273*x^4+840*x^3+582*x^2+82*x+1) lgdogf] A133355 12.2265 [-3*(7+42*x+3*x^4+28*x^3+63*x^2)/(x-1)/(x^4+8*x^3+15*x^2+8*x+1) lgdogf] A133355 4.14638 [-(x^4+8*x^3+15*x^2+8*x+1)/(x-1)^13 ogf] A133355 6.27014 [{(n^2+18*n+80)*a(n+1)+(-n^2-6*n-8)*a(n+2),a(0)=1,a(1)=21} ogf] A133356 13.0361 [(x-1)/(16*x^2+2*x-1) ogf] A133356 15.4552 [-(-1-32*x+16*x^2)/(x-1)/(16*x^2+2*x-1) lgdogf] A133356 6.66291 [(340*f(x)-339)*(16*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A133356 7.22484 [{-a(n+2)+2*a(n+1)+16*a(n),a(0)=1,a(1)=1} ogf] A133357 4.53562 [-(x+1)*(8*x^7-12*x^6-2*x^5-16*x^4-30*x^3-15*x^2-4*x-1)/(24*x^8-4*x^7-46*x^6-66*x^5-74*x^4-25*x^3-7*x^2-3*x+1) ogf] A133368 15.2507 [-(3*x^4+7*x^3+3*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A133368 9.63047 [-(1+6*x+9*x^6+5*x^4+12*x^3+4*x^5+21*x^2+14*x^7+3*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+7*x^3+3*x^2+x+1) lgdogf] A133379 4.14709 [(4497674768*f(x)+2581903)*(160264*f(x)*x^3+80136*f(x)*x^2-49*f(x)*x+50*x^2-f(x)+x) ogf] A133379 4.55838 [{a(n+3)+49*a(n+2)-80136*a(n+1)-160264*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A133379 7.23171 [-(1+160272*x+16026400*x^3+4487592*x^2)/(50*x+1)/(160264*x^3+80136*x^2-49*x-1) lgdogf] A133379 8.11124 [-x*(50*x+1)/(160264*x^3+80136*x^2-49*x-1) ogf] A133381 3.30003 [-(339736673907143*f(x)-3984125091726)*(3149685*f(x)*x^3+88636*f(x)*x^2+2835*x^3-1037*f(x)*x-1032*x^2-f(x)-x) ogf] A133381 3.65678 [{a(n+4)+1037*a(n+3)-88636*a(n+2)-3149685*a(n+1),a(0)=0,a(1)=-1,a(2)=5,a(3)=-90986} ogf] A133381 6.44290 [-x*(2835*x^2-1032*x-1)/(3149685*x^3+88636*x^2-1037*x-1) ogf] A133383 4.20712 [(108999*f(x)+117811)*(100*f(x)*x^2-101*f(x)*x+f(x)-89*x-10) ogf] A133383 4.72133 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=10,a(1)=1099} ogf] A133383 7.41036 [-1/2*(-10-101*x+(100+2376*x+9801*x^2)^(1/2))/(-89+100*x) revogf] A133383 8.29960 [-(-1099+2000*x+8900*x^2)/(x-1)/(89*x+10)/(100*x-1) lgdogf] A133383 8.33176 [(89*x+10)/(100*x-1)/(x-1) ogf] A133384 10.9859 [-6*(5*x-2)/(10*x-1)/(x-1) ogf] A133384 11.4560 [-1/20*(-12-11*x+3*(16+16*x+9*x^2)^(1/2))/(x+3) revogf] A133384 13.1744 [-(17-40*x+50*x^2)/(x-1)/(5*x-2)/(10*x-1) lgdogf] A133384 5.66643 [-(49*f(x)-10)*(10*f(x)*x^2-11*f(x)*x+f(x)+30*x-12) ogf] A133384 6.18747 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=12,a(1)=102} ogf] A133386 4.56969 [-2*x^4*(85*x^4-180*x^3+141*x^2-48*x+6)/(x-1)^3/(3*x-1)^3/(2*x-1)^3 ogf] A133386 6.89685 [-2*(5*x-2)*(255*x^5-733*x^4+842*x^3-480*x^2+135*x-15)/(x-1)/(-1+3*x)/(2*x-1)/(85*x^4-180*x^3+141*x^2-48*x+6) lgdogf] A133390 8.07319 [-(8*x^9-3*x^7-x^6+3*x^5-5*x^3+3*x^2+3*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A133394 15.4322 [-x*(5*x^3+2)/(x^5+x^2-1) ogf] A133394 17.6088 [-x*(4+10*x^6+5*x^3+15*x)/(5*x^3+2)/(x^5+x^2-1) lgdogf] A133398 8.08622 [-(x^2-x+1)*(x^27-x^25-x^24+x^22+x^21-x^19-x^18+x^16+x^15-x^13-x^12+x^10+x^9-x^7-x^6+2*x^4+x^3-x^2-x-1)/(x-1)^2 ogf] A133405 19.0963 [-x^3/(3*x-1)/(x+1)/(x^2-x+1) ogf] A133405 19.4879 [-3*(1+4*x^3-x^2)/(3*x-1)/(x+1)/(x^2-x+1) lgdogf] A133405 9.66604 [-3*f(x)*x^4+f(x)*x^3-x^3-3*f(x)*x+f(x) ogf] A133407 14.5749 [-(x+1)/(5*x^2+x-1) ogf] A133407 16.4792 [1/2/(5*x+1)*(-1-x+(1+6*x+21*x^2)^(1/2)) revogf] A133407 19.4754 [-(2+10*x+5*x^2)/(x+1)/(5*x^2+x-1) lgdogf] A133407 7.53875 [(69*f(x)-53)*(5*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A133407 7.99844 [{-a(n+2)+a(n+1)+5*a(n),a(0)=1,a(1)=2} ogf] A133408 11.0795 [2*(1+52*x^6-69*x^5+108*x^7)/(2*x-1)/(18*x^7+23*x^6-1) lgdogf] A133408 15.1277 [x*(18*x^7+23*x^6-1)/(2*x-1) ogf] A133409 10.1096 [-(-4+6*x-16*x^3+15*x^4+3*x^2)/(x-1)/(3*x-1)/(x+1)/(x^2-x+1) lgdogf] A133409 10.4643 [x^4/(x-1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A133409 5.09799 [-3*f(x)*x^5+4*f(x)*x^4-f(x)*x^3+x^4-3*f(x)*x^2+4*f(x)*x-f(x) ogf] A133415 6.62214 [-2*(70-1444*x+5475*x^5+3000*x^6+3913*x^2+41046*x^3-110820*x^4)/(16*x-1)/(x^2-7*x+1)/(5*x^2+26*x+3)/(25*x^2-15*x+1) lgdogf] A133415 7.60915 [-4*x^2*(5*x^2+26*x+3)/(16*x-1)/(25*x^2-15*x+1)/(x^2-7*x+1) ogf] A133416 6.06762 [-(91-796*x-436250*x^5+102000*x^6-21971*x^2+230056*x^3-291025*x^4)/(16*x-1)/(x^2-7*x+1)/(85*x^2+53*x+1)/(25*x^2-15*x+1) lgdogf] A133416 7.36705 [-x^2*(85*x^2+53*x+1)/(16*x-1)/(25*x^2-15*x+1)/(x^2-7*x+1) ogf] A133417 13.1290 [-2*(4*x^2+x-1)/(x+1)/(x^2-6*x+1) ogf] A133417 14.5955 [-2*(2+x+6*x^2+x^3+2*x^4)/(x+1)/(1-6*x+x^2)/(4*x^2+x-1) lgdogf] A133417 6.73 [-(214*f(x)-395)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+8*x^2+f(x)+2*x-2) ogf] A133417 7.08734 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=2,a(1)=8,a(2)=42} ogf] A133419 7.27343 [(4*x^10+x^9+x^8+2*x^7+24*x^6+3*x^5+26*x^4+2*x^3+x^2+x+6)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A133443 10.6145 [2*(1-20*x^2+8*x+2*(-(2*x-1)*(2*x+1))^(1/2))/(10*x-3)/(2*x-1)/(2*x+1) lgdogf] A133443 15.0373 [(-1-2*x+2*(1+4*x+16*x^2)^(1/2))/(1+4*x+20*x^2)*x revogf] A133443 3.60280 [{(40*n+80)*a(n+1)+(-12*n-44)*a(n+2)+(-10*n-34)*a(n+3)+(3*n+12)*a(n+4),a(0)=1,a(1)=2,a(2)=8,a(3)=24} ogf] A133443 7.98882 [20*f(x)^2*x^2+4*f(x)^2*x-3*f(x)^2+4*f(x)*x+2*f(x)+1 ogf] A133444 13.8040 [1/2/(1+6*x+34*x^2)*(-3-9*x+5*(1+6*x+25*x^2)^(1/2))*x revogf] A133444 3.54702 [{(68*n+136)*a(n+1)+(-16*n-66)*a(n+2)+(-17*n-60)*a(n+3)+(4*n+16)*a(n+4),a(0)=1,a(1)=3,a(2)=14,a(3)=57} ogf] A133444 7.94223 [34*f(x)^2*x^2+9*f(x)^2*x-4*f(x)^2+6*f(x)*x+3*f(x)+1 ogf] A133444 9.70014 [1/2*(-136*x^2+50*x+9+15*(-(2*x-1)*(2*x+1))^(1/2))/(17*x-4)/(2*x-1)/(2*x+1) lgdogf] A133448 11.1556 [-(3*x^3-2*x^2-x+2)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A133448 6.06094 [(29057*f(x)+12141)*(3*f(x)*x^4-f(x)*x^3+3*x^3+3*f(x)*x-2*x^2-f(x)-x+2) ogf] A133453 5.06258 [-(47068*f(x)-7839)*(3*f(x)*x^4-f(x)*x^3+3*x^3+3*f(x)*x+x^2-f(x)-2*x+2) ogf] A133453 9.53820 [-(3*x^3+x^2-2*x+2)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A133455 7.1107 [-(20*f(x)-89)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-10*x+4) ogf] A133456 4.87542 [(7*x^8-3*x^6-x^5+3*x^4-5*x^2+3*x+3)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A133462 10.2711 [-(-1+15*x-90*x^2+130*x^3)/(x-1)/(10*x-1)/(13*x^2-11*x+1) lgdogf] A133462 4.89303 [(137*f(x)-221)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+13*x^2-f(x)-11*x+1) ogf] A133462 5.10577 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A133462 8.89641 [-(13*x^2-11*x+1)/(10*x-1)/(x-1)^2 ogf] A133463 10.4292 [-(3+8*x+15*x^6+27*x^4+24*x^3+24*x^5+15*x^2)/(3*x^4-1)/(5*x^3+4*x^2+3*x+2) lgdogf] A133463 13.6238 [-(5*x^3+4*x^2+3*x+2)/(3*x^4-1) ogf] A133463 8.82453 [{-a(n+4)+3*a(n),a(0)=2,a(1)=3,a(2)=4,a(3)=5} ogf] A133463 9.24475 [(12*f(x)-1)*(3*f(x)*x^4+5*x^3+4*x^2-f(x)+3*x+2) ogf] A133464 14.0607 [-2*(1+3*x+6*x^4+8*x^3+6*x^2)/(3*x^2+2*x+1)/(4*x^3-1) lgdogf] A133464 14.0699 [4*f(x)*x^3+3*x^2-f(x)+2*x+1 ogf] A133464 15.2185 [-(3*x^2+2*x+1)/(4*x^3-1) ogf] A133464 9.81192 [{-a(n+3)+4*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A133467 14.1184 [-(x+1)/(2*x+1)/(3*x-1) ogf] A133467 15.9563 [1/2/(1+6*x)*(-1-x+(1+6*x+25*x^2)^(1/2)) revogf] A133467 15.9563 [-2*(1+6*x+3*x^2)/(-1+3*x)/(2*x+1)/(x+1) lgdogf] A133467 7.38754 [(11*f(x)-9)*(6*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A133467 7.74793 [{-a(n+2)+a(n+1)+6*a(n),a(0)=1,a(1)=2} ogf] A133469 14.4080 [-(x+1)/(7*x^2+x-1) ogf] A133469 16.2905 [1/2/(1+7*x)*(-1-x+(1+6*x+29*x^2)^(1/2)) revogf] A133469 19.2524 [-(2+14*x+7*x^2)/(x+1)/(7*x^2+x-1) lgdogf] A133469 7.36774 [(109*f(x)-93)*(7*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A133469 7.90685 [{-a(n+2)+a(n+1)+7*a(n),a(0)=1,a(1)=2} ogf] A133471 5.57263 [{-a(n+1)+(-n^2-6*n-9)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A133472 11.5615 [-3*(17*x-2)/(10*x-1)/(x-1) ogf] A133472 11.8128 [-1/2*(-6-11*x+3*(4-8*x+9*x^2)^(1/2))/(51+10*x) revogf] A133472 13.2534 [-5*(1-8*x+34*x^2)/(x-1)/(17*x-2)/(10*x-1) lgdogf] A133472 5.84159 [-(26*f(x)-131)*(10*f(x)*x^2-11*f(x)*x+f(x)+51*x-6) ogf] A133472 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=6,a(1)=15} ogf] A133473 11.9004 [-(17*x-2)/(10*x-1)/(x-1) ogf] A133473 12.1618 [-1/2*(-2-11*x+(4-24*x+81*x^2)^(1/2))/(17+10*x) revogf] A133473 13.6450 [-5*(1-8*x+34*x^2)/(x-1)/(17*x-2)/(10*x-1) lgdogf] A133473 6.01285 [-(78*f(x)-131)*(10*f(x)*x^2-11*f(x)*x+f(x)+17*x-2) ogf] A133473 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=2,a(1)=5} ogf] A133474 14.3430 [-x^3/(3*x-1)/(3*x^2-3*x+1) ogf] A133474 17.2748 [-3*(2-8*x+9*x^2)/(3*x-1)/(3*x^2-3*x+1) lgdogf] A133474 5.07520 [{-a(n+4)+6*a(n+3)-12*a(n+2)+9*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A133474 6.59776 [-f(x)*(9*f(x)*x^3-12*f(x)*x^2+x^3+6*f(x)*x-f(x)) ogf] A133476 10.4639 [-(-2+10*x+4*x^5-15*x^4+20*x^3-20*x^2)/(x-1)/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A133476 8.74221 [x*(x-1)^3/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A133479 14.1631 [-(x+1)/(8*x^2+x-1) ogf] A133479 16.0119 [1/2/(1+8*x)*(-1-x+(1+6*x+33*x^2)^(1/2)) revogf] A133479 18.3666 [-2*(1+8*x+4*x^2)/(x+1)/(8*x^2+x-1) lgdogf] A133479 7.32572 [(33*f(x)-29)*(8*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A133479 7.77241 [{-a(n+2)+a(n+1)+8*a(n),a(0)=1,a(1)=2} ogf] A133480 10.0148 [1/3*x*(3+3*x+x^2) revegf] A133480 12.0305 [9*f(x)^3*x^2+6*f(x)^3*x+f(x)^3-1 egf] A133480 17.0251 [-2/(1+3*x) lgdegf] A133494 10.6163 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=1} ogf] A133494 16.9861 [-3*f(x)*x+f(x)+2*x-1 ogf] A133494 20.6588 [(2*x-1)/(3*x-1) ogf] A133494 22.7548 [1/4+3/4*x-1/4*(1-2*x+9*x^2)^(1/2) revogf] A133494 41.7171 [1/(-1+3*x)/(2*x-1) lgdogf] A133496 11.7608 [-841*x*(x+1)/(x-1)^3 ogf] A133496 33.8493 [[4-x] ogf_with_Euler_transform] A133496 6.18455 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=841,a(2)=3364} ogf] A133496 6.34874 [(4*f(x)+841)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+841*x^2-f(x)+841*x) ogf] A133499 10.9538 [-4*(13+78*x+108*x^2+38*x^3+3*x^4)/(x-1)/(3*x^4+28*x^3+58*x^2+28*x+3) lgdogf] A133499 5.25491 [42*x^2*(3*x^4+28*x^3+58*x^2+28*x+3)/(x-1)^8 ogf] A133510 4.72653 [-(38*f(x)+3)*(6*f(x)*x^4-5*f(x)*x^3-5*f(x)*x^2+3*x^3+5*f(x)*x+2*x^2-f(x)-5*x+2) ogf] A133510 7.15365 [-(5-16*x+18*x^6+24*x^5-6*x^2+68*x^3-85*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(x+1)/(3*x^3+2*x^2-5*x+2) lgdogf] A133510 8.71648 [-(3*x^3+2*x^2-5*x+2)/(x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A133511 13.3190 [-x^2*(3*x-1)/(x+1)/(2*x-1)/(x^2-x+1) ogf] A133511 14.4437 [-(1+18*x^4-14*x^3+3*x^2)/(3*x-1)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A133511 9.12873 [-2*f(x)*x^4+f(x)*x^3-3*x^3-2*f(x)*x+x^2+f(x) ogf] A133513 10.8396 [-3*(-1+x)*(2*x^2+x+1)/(-1+3*x)/(x+1)/(x^2-x+1) lgdogf] A133513 11.8254 [-f(x)*x^3-3*x^2-f(x)+x ogf] A133513 12.8765 [-x*(3*x-1)/(x+1)/(x^2-x+1) ogf] A133513 7.72589 [{-a(n+3)-a(n),a(0)=0,a(1)=1,a(2)=-3} ogf] A133523 4.13125 [-(x^14+x^13+x^12-x^10-2*x^9-4*x^8-3*x^7-3*x^6+x^5+2*x^4+2*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^12-x^7-2*x^6-x^4-x+1) ogf] A133546 11.5450 [-(4-12*x+9*x^2-x^3+2*x^4)/(x-1)/(-1+2*x)/(x^3-x^2+2*x-1) lgdogf] A133546 4.61531 [(52*f(x)+2415)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+x^3-6*f(x)*x-x^2+f(x)+2*x-1) ogf] A133546 8.35432 [-(x^3-x^2+2*x-1)/(2*x-1)^2/(x-1)^2 ogf] A133552 3.65789 [-(x^14+x^13-x^11-x^10-2*x^8-3*x^7-2*x^6+2*x^5+2*x^4+x^3+x^2+x+1)/(x^15-x^12-2*x^9-2*x^8+2*x^6+x^5+x^3+x^2+x-1) ogf] A133558 14.5923 [-(x+1)/(9*x^2+x-1) ogf] A133558 16.5071 [1/2/(9*x+1)*(-1-x+(1+6*x+37*x^2)^(1/2)) revogf] A133558 19.5084 [-(2+18*x+9*x^2)/(x+1)/(9*x^2+x-1) lgdogf] A133558 7.3781 [(157*f(x)-141)*(9*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A133558 8.00795 [{-a(n+2)+a(n+1)+9*a(n),a(0)=1,a(1)=2} ogf] A133563 14.4148 [-(-x^8-x^6-x^2-1)/(x^10-1) ogf_with_Euler_transform] A133570 11.9091 [-(x^5-5*x^4+3*x^3-8*x^2+4*x-3)/(x^2+1)^2 ogf] A133570 19.3018 [(x^3+3*x-2)*(x^3-x-2)/(x^2+1)/(x^5-5*x^4+3*x^3-8*x^2+4*x-3) lgdogf] A133572 14.7824 [-(2*x^2+4*x+1)/(2*x-1)/(2*x+1) ogf] A133572 8.62310 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=4,a(2)=6} ogf] A133572 8.94245 [-(75*f(x)+53)*(4*f(x)*x^2+2*x^2-f(x)+4*x+1) ogf] A133573 7.29833 [-(2*x^9-x^8+2*x^7-x^6+2*x^5+2*x^3-x^2+2*x-1)/(-x^10+1) ogf_with_Euler_transform] A133574 99.9999 Evaluated at exp(-Pi) 1/20*Pi^(1/2)/GAMMA(3/4)^2*(5+5^(1/2))*5^(1/2) A133577 13.3340 [-(x+1)/(10*x^2+x-1) ogf] A133577 15.0163 [1/2/(10*x+1)*(-1-x+(1+6*x+41*x^2)^(1/2)) revogf] A133577 16.6848 [-2*(1+10*x+5*x^2)/(x+1)/(10*x^2+x-1) lgdogf] A133577 6.97005 [(23*f(x)-21)*(10*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A133577 7.38993 [{-a(n+2)+a(n+1)+10*a(n),a(0)=1,a(1)=2} ogf] A133585 6.09827 [-(20*f(x)-1)*(f(x)*x^4+x^4-3*f(x)*x^2+x^3-x^2+f(x)-2*x-1) ogf] A133585 9.52333 [-(x+1)*(x^3-x-1)/(x^2+x-1)/(x^2-x-1) ogf] A133586 16.5234 [(2*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A133586 8.89722 [-(10*f(x)-13)*(f(x)*x^4-3*f(x)*x^2+f(x)-2*x-1) ogf] A133592 13.4667 [(2*x^2-1)/(6*x^2+2*x-1) ogf] A133592 6.46931 [{-a(n+3)+2*a(n+2)+6*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A133592 7.33188 [(11*f(x)-8)*(6*f(x)*x^2+2*f(x)*x-2*x^2-f(x)+1) ogf] A133594 12.3023 [(3*x^2-1)/(12*x^2+3*x-1) ogf] A133594 15.0688 [3*(1+6*x+3*x^2)/(12*x^2+3*x-1)/(3*x^2-1) lgdogf] A133594 5.91459 [{-a(n+3)+3*a(n+2)+12*a(n+1),a(0)=1,a(1)=3,a(2)=18} ogf] A133594 6.83464 [(4*f(x)-3)*(12*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+1) ogf] A133600 14.0163 [-(x+1)*(3*x+1)/(2*x-1)/(2*x+1) ogf] A133600 14.6318 [-2*(2+7*x+8*x^2)/(2*x+1)/(2*x-1)/(3*x+1)/(x+1) lgdogf] A133600 8.17617 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=4,a(2)=7} ogf] A133600 9.1573 [(7*f(x)+1)*(4*f(x)*x^2+3*x^2-f(x)+4*x+1) ogf] A133622 14.5657 [-(x^3+x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A133622 17.5266 [-(-2-2*x+2*x^3+x^4-3*x^2)/(x-1)/(x+1)/(x^3+x^2-2*x-1) lgdogf] A133622 5.00938 [{(n+2)*a(n+1)+(-2*n-12)*a(n+2)-a(n+3)*n+(2*n+8)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=3} ogf] A133622 9.28208 [(2*f(x)+21)*(f(x)*x^4-2*f(x)*x^2+x^3+x^2+f(x)-2*x-1) ogf] A133623 4.88398 [-x^2*(6*x^11+12*x^10+6*x^9-12*x^8-22*x^7-7*x^6+11*x^5+12*x^4-x^3-9*x^2-7*x-2)/(x^2+x+1)^2/(x-1)^2/(x+1)^2 ogf] A133628 12.9585 [(3*x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A133628 14.3205 [-4*(-1-2*x+6*x^3)/(x-1)/(2*x+1)/(2*x-1)/(3*x+1) lgdogf] A133628 6.13212 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A133628 6.41867 [-(3*f(x)+7)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A133629 14.5135 [(4*x+1)/(x-1)/(5*x^2-1) ogf] A133629 14.6665 [-5*(-1-2*x+8*x^3-x^2)/(x-1)/(4*x+1)/(5*x^2-1) lgdogf] A133629 6.80720 [{-a(n+3)+a(n+2)+5*a(n+1)-5*a(n),a(0)=1,a(1)=5,a(2)=10} ogf] A133629 7.057 [-(27*f(x)+53)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+f(x)-4*x-1) ogf] A133631 11.4885 [-4*f(x)*x^2+f(x)*x-f(x)+x+1 ogf] A133631 16.0840 [(x+1)/(4*x^2-x+1) ogf] A133631 19.2308 [-1/2*(-1-x+(1+6*x-15*x^2)^(1/2))/(4*x-1) revogf] A133631 21.9781 [-2*(-1+4*x+2*x^2)/(x+1)/(4*x^2-x+1) lgdogf] A133631 8.82656 [{a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A133632 10.3559 [(5*f(x)+3)*(5*f(x)*x^2-f(x)+4*x+1) ogf] A133632 10.8413 [{a(n+2)-5*a(n),a(0)=1,a(1)=4} ogf] A133632 16.9230 [-(4*x+1)/(5*x^2-1) ogf] A133632 17.9011 [1/2/(5*x+4)*(-1+(1+20*x^2+16*x)^(1/2)) revogf] A133632 19.4354 [-2*(2+5*x+10*x^2)/(4*x+1)/(5*x^2-1) lgdogf] A133637 8.01466 [-(-2*x^7+x^6-2*x^4-x^3+2*x^2-1)/(-x^8-x^4-1) ogf_with_Euler_transform] A133637 99.9999 Evaluated at exp(-Pi) 3/4*exp(-Pi)/Pi^2*3^(1/2)*GAMMA(2/3)^3*GAMMA(3/4)^5*2^(1/2)*(1+3^(1/2))^3/GAMMA(11/12)^3 A133641 5.8617 [-(5*f(x)-18)*(f(x)*x^4-f(x)*x^3+2*x^4-2*f(x)*x^2+x^3+3*f(x)*x-5*x^2-f(x)+2*x+1) ogf] A133642 7.62681 [(21*f(x)-16)*(20*f(x)*x^2+4*f(x)*x-4*x^2-f(x)+1) ogf] A133646 12.3424 [(5*x^2-1)/(30*x^2+5*x-1) ogf] A133646 14.7595 [5*(1+10*x+5*x^2)/(5*x^2-1)/(30*x^2+5*x-1) lgdogf] A133646 5.93385 [{-a(n+3)+5*a(n+2)+30*a(n+1),a(0)=1,a(1)=5,a(2)=50} ogf] A133646 6.70784 [(13*f(x)-10)*(30*f(x)*x^2+5*f(x)*x-5*x^2-f(x)+1) ogf] A133647 12.2186 [-(3*x^2+3*x+1)/(3*x-1)/(3*x+1) ogf] A133647 7.04367 [{-a(n+3)+9*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A133647 7.67578 [(100*f(x)-73)*(9*f(x)*x^2+3*x^2-f(x)+3*x+1) ogf] A133648 10.8175 [-(4*x^2-7*x+5)/(3*x-1)/(x-1)^2 ogf] A133648 12.2075 [-2*(-9+22*x+6*x^3-15*x^2)/(x-1)/(3*x-1)/(4*x^2-7*x+5) lgdogf] A133648 5.54512 [(63508*f(x)+38543)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-7*x+5) ogf] A133648 5.78833 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=5,a(1)=18,a(2)=59} ogf] A133649 13.5852 [-(2*x+1)*(x^2+x+1)/(x+1)/(2*x-1) ogf] A133649 7.20604 [{a(n+4)-a(n+3)-2*a(n+2),a(0)=1,a(1)=4,a(2)=9,a(3)=19} ogf] A133649 7.96822 [(654*f(x)-59)*(2*f(x)*x^2+2*x^3+f(x)*x+3*x^2-f(x)+3*x+1) ogf] A133653 18.0360 [2*(3+x)/(-1+x)/(x^2-4*x-1) lgdogf] A133653 4.69505 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=10} ogf] A133653 6.81113 [-f(x)*x^2+2*f(x)*x-x^2-f(x)+4*x+1 ogf] A133653 9.12434 [-(x^2-4*x-1)/(x-1)^2 ogf] A133654 13.1871 [(x^2+1)/(x-1)/(x^2+2*x-1) ogf] A133654 6.71129 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A133654 6.77175 [-(f(x)-1)*(f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)-1) ogf] A133655 14.9822 [(2*x^2+5*x+1)/(x-1)^2 ogf] A133655 27.7920 [-(7+9*x)/(x-1)/(2*x^2+5*x+1) lgdogf] A133655 7.70930 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=7,a(2)=15} ogf] A133655 8.35851 [(16*f(x)+33)*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)-5*x-1) ogf] A133656 22.8775 [-x*(1+x)*(x-1)^2/(-1-x+x^2) revogf] A133657 6.41943 [-(4*x^6+6*x^4+2*x^3+2*x^2-2*x+4)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A133657 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*GAMMA(5/8)^4*(2+2^(1/2))/Pi/GAMMA(7/8)^4 A133665 8.60174 [(5*f(x)-14)*(9*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A133666 3.64420 [(437500000*x^17+62500000*x^16+42*x^2+35*x+7)/(187500000*x^17+62500000*x^16+224*x^3+98*x^2+7*x+7) ogf] A133666 7.37893 [(7*f(x)-23)*(16*f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A133667 6.99926 [(9*f(x)-34)*(25*f(x)*x^2-f(x)*x+f(x)-4*x-1) ogf] A133668 14.1785 [(5*x+1)/(36*x^2-x+1) ogf] A133668 7.41148 [(11*f(x)-47)*(36*f(x)*x^2-f(x)*x+f(x)-5*x-1) ogf] A133668 7.85794 [{a(n+2)-a(n+1)+36*a(n),a(0)=1,a(1)=6} ogf] A133669 10.3412 [-7*(-1+14*x+42*x^2)/(6*x+1)/(49*x^2-x+1) lgdogf] A133669 4.81305 [{a(n+2)-a(n+1)+49*a(n),a(0)=1,a(1)=7} ogf] A133669 7.23074 [(13*f(x)-62)*(49*f(x)*x^2-f(x)*x+f(x)-6*x-1) ogf] A133669 8.68441 [(6*x+1)/(49*x^2-x+1) ogf] A133669 9.40111 [-1/2*(-1-x+(1+26*x-195*x^2)^(1/2))/(-6+49*x) revogf] A133671 13.0249 [(7*x+1)/(64*x^2-x+1) ogf] A133671 13.9574 [-1/2*(-1-x+(1+30*x-255*x^2)^(1/2))/(-7+64*x) revogf] A133671 15.3531 [-8*(-1+16*x+56*x^2)/(7*x+1)/(64*x^2-x+1) lgdogf] A133671 6.80848 [(15*f(x)-79)*(64*f(x)*x^2-f(x)*x+f(x)-7*x-1) ogf] A133671 7.21863 [{a(n+2)-a(n+1)+64*a(n),a(0)=1,a(1)=8} ogf] A133672 13.6762 [(8*x+1)/(81*x^2-x+1) ogf] A133672 14.7063 [-1/2*(-1-x+(1+34*x-323*x^2)^(1/2))/(-8+81*x) revogf] A133672 16.1769 [-9*(-1+18*x+72*x^2)/(8*x+1)/(81*x^2-x+1) lgdogf] A133672 7.14891 [(17*f(x)-98)*(81*f(x)*x^2-f(x)*x+f(x)-8*x-1) ogf] A133672 7.57955 [{a(n+2)-a(n+1)+81*a(n),a(0)=1,a(1)=9} ogf] A133673 10.0354 [-(x^3+3*x^2-4*x-7)/(x^2+x-1)^2 ogf] A133673 13.7953 [-(-18-26*x+x^4+5*x^3-9*x^2)/(x^2+x-1)/(x^3+3*x^2-4*x-7) lgdogf] A133673 5.40369 [(2410*f(x)-2389)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+3*x^2+f(x)-4*x-7) ogf] A133678 14.3092 [(6*x^2-1)/(42*x^2+6*x-1) ogf] A133678 6.87944 [{-a(n+3)+6*a(n+2)+42*a(n+1),a(0)=1,a(1)=6,a(2)=72} ogf] A133678 7.77677 [(31*f(x)-24)*(42*f(x)*x^2+6*f(x)*x-6*x^2-f(x)+1) ogf] A133679 6.93579 [(9*f(x)-7)*(56*f(x)*x^2+7*f(x)*x-7*x^2-f(x)+1) ogf] A133680 10.1429 [(8*x^2-1)/(72*x^2+8*x-1) ogf] A133680 12.0930 [8*(1+16*x+8*x^2)/(8*x^2-1)/(72*x^2+8*x-1) lgdogf] A133680 4.82995 [{-a(n+3)+8*a(n+2)+72*a(n+1),a(0)=1,a(1)=8,a(2)=128} ogf] A133680 5.51245 [(41*f(x)-32)*(72*f(x)*x^2+8*f(x)*x-8*x^2-f(x)+1) ogf] A133681 10.5234 [9*(1+18*x+9*x^2)/(15*x-1)/(3*x-1)/(3*x+1)/(1+6*x) lgdogf] A133681 10.5395 [(3*x-1)*(3*x+1)/(6*x+1)/(15*x-1) ogf] A133681 5.01883 [{-a(n+3)+9*a(n+2)+90*a(n+1),a(0)=1,a(1)=9,a(2)=162} ogf] A133681 5.72802 [(23*f(x)-18)*(90*f(x)*x^2+9*f(x)*x-9*x^2-f(x)+1) ogf] A133682 5.88253 [-(3728*f(x)-19219)*(-4*x^4-x^3+f(x)*x-14*x^2-f(x)+21*x+1) ogf] A133683 10.3324 [-(1+2*x+6*x^6+8*x^5+11*x^4+2*x^3+3*x^2)/(x^2+x+1)/(2*x^5+x^3-1) lgdogf] A133683 11.6871 [-(x^2+x+1)/(2*x^5+x^3-1) ogf] A133683 7.83725 [f(x)^2*(2*f(x)*x^5+f(x)*x^3+x^2-f(x)+x+1) ogf] A133684 3.59484 [x*(x^2-x-1)/(2*x^2-1)/(x^2+1) ogf] A133684 8.72995 [(21*f(x)+5)*(2*f(x)*x^4+f(x)*x^2-x^3+x^2-f(x)+x) ogf] A133690 8.12873 [-(4*x^7+4*x^6-2*x^5+4*x^4+8*x^3+4*x^2-2*x+4)/(-x^8+1) ogf_with_Euler_transform] A133690 99.9999 Evaluated at exp(-Pi) -1/16/Pi*2^(1/2)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))/(2^(1/2)-2) A133692 6.15454 [-(-2*x^7-2*x^6+x^5-2*x^4-4*x^3-2*x^2+x-2)/(x^8-1) ogf_with_Euler_transform] A133692 99.9999 Evaluated at exp(-Pi) 1/8*2^(1/4)*GAMMA(5/8)^2*(2+2^(1/2))^(3/2)/Pi^(1/2)/GAMMA(7/8)^2 A133694 13.6533 [(2*x^2-4*x-1)/(x-1)^3 ogf] A133694 23.3509 [-(-7-4*x+2*x^2)/(x-1)/(2*x^2-4*x-1) lgdogf] A133694 7.3057 [(67*f(x)-427)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+4*x+1) ogf] A133694 7.37035 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=16} ogf] A133706 4.25338 [{(n^4-7*n^3+19*n^2-33*n+180)*a(n+1)+(-120*n-240)*a(n+2),a(0)=1,a(1)=2} egf] A133714 27.4817 [x^2+4*x+6 ogf_with_Euler_transform] A133718 5.73032 [-(x^4-4*x^3+11*x^2+6*x+1)/(x-1)^7 ogf] A133719 4.53887 [-(6*x^5-24*x^4+45*x^3+64*x^2+13*x+1)/(x-1)^9 ogf] A133720 3.47445 [(2*x^7-51*x^6+178*x^5-187*x^4-621*x^3-242*x^2-23*x-1)/(x-1)^11 ogf] A133722 4.50824 [-x^2*(x^12-4*x^9+x^8+6*x^6-2*x^5+2*x^4-4*x^3+x^2+x+1)/(x-1)^5/(x^2+x+1)^5 ogf] A133730 4.51634 [-(x-1)*(x^2-x-1)/(2*x^2-1)/(x^2+1) ogf] A133730 8.12574 [-(22*f(x)-5)*(2*f(x)*x^4+f(x)*x^2+x^3-2*x^2-f(x)+1) ogf] A133739 6.96561 [-(4*x^8-9*x^7+14*x^6-2*x^5-5*x^4+5*x^3+6*x^2-14*x+9)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A133752 10.4597 [-256*f(x)*x+f(x)-1 ogf] A133752 19.5552 [-1/(256*x-1) ogf] A133752 25.8723 [1/256*ln(1+256*x) revegf] A133752 29.3219 [-256/(-1+256*x) lgdogf] A133752 8.32906 [{a(n+1)-256*a(n),a(0)=1} ogf] A133754 23.2415 [-(9+17*x+4*x^2)/(-1+x)/(1+3*x+x^2) lgdogf] A133754 4.08823 [{(-152*n^2-895*n-1317)*a(n+1)+(-371*n^2-3914*n-8199)*a(n+2)+(523*n^2+1434*n+911)*a(n+3),a(0)=0,a(1)=0,a(2)=24} ogf] A133754 8.05257 [24*x^2*(x^2+3*x+1)/(x-1)^6 ogf] A133766 13.9420 [-(-105-333*x+x^3-75*x^2)/(x-1)/(x^3-39*x^2-85*x-5) lgdogf] A133766 3.74124 [{(4*n^2+21*n+26)*a(n+1)+(-16*n^2-108*n-215)*a(n+2)+(12*n^2+63*n+81)*a(n+3),a(0)=15,a(1)=315,a(2)=1287} ogf] A133766 5.35914 [(44096*f(x)+8118315)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-117*x^2+f(x)-255*x-15) ogf] A133766 8.66873 [-3*(x^3-39*x^2-85*x-5)/(x-1)^4 ogf] A133767 15.3037 [-(231+275*x+x^3+5*x^2)/(x-1)/(x^3+x^2+91*x+35) lgdogf] A133767 3.71867 [{(-4*n^2-23*n-30)*a(n+1)+(-16*n^2-164*n-363)*a(n+2)+(20*n^2+115*n+165)*a(n+3),a(0)=105,a(1)=693,a(2)=2145} ogf] A133767 4.72173 [(68800*f(x)+16321701)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-3*x^2+f(x)-273*x-105) ogf] A133767 8.86054 [3*(x^3+x^2+91*x+35)/(x-1)^4 ogf] A133789 5.01844 [-2*(-2+24*x+264*x^5-491*x^4+348*x^3-125*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(4*x-1)/(11*x^2-6*x+1) lgdogf] A133789 5.38294 [(6*f(x)+1)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-11*x^3-10*f(x)*x+6*x^2+f(x)-x) ogf] A133789 9.52368 [x*(11*x^2-6*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A133799 12.4079 [3*(2-4*x+x^4-4*x^3+6*x^2)/(x-1)/(3*x^4-8*x^3+6*x^2-2) lgdegf] A133799 3.28330 [{(6*n^2+24*n)*a(n+1)-6*n*a(n+2)+(-n^2-10*n-24)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=30} ogf] A133799 5.11294 [-(101*f(x)-523)*(2*f(x)*x^3-3*x^4-6*f(x)*x^2+8*x^3+6*f(x)*x-6*x^2-2*f(x)+2) egf] A133799 9.17526 [1/2*(3*x^4-8*x^3+6*x^2-2)/(x-1)^3 egf] A133806 8.90398 [-x*(x^4-x^3-x^2+x+1)/(2*x^2-1)/(x^4-x^2+1) ogf] A133818 5.95455 [3*(5*x^4-3028*x^3-18850*x^2-10580*x-315)/(x-1)^5 ogf] A133818 7.31614 [-(-12155-80020*x+5*x^4-6036*x^3-65634*x^2)/(x-1)/(5*x^4-3028*x^3-18850*x^2-10580*x-315) lgdogf] A133849 4.39272 [-(f(x)-20169691981106018776756331)*(5*f(x)*x-161742330750*x^2-f(x)-100848459905530060457033300*x+20169691981106018776756331) ogf] A133849 5.69680 [{-a(n+3)+5*a(n+2),a(0)=20169691981106018776756331,a(1)=33426748355,a(2)=5391411025} ogf] A133849 6.81487 [215656441*(750*x^2+467634815069261300*x-93526963013852291)/(5*x-1) ogf] A133851 15.5668 [-4*f(x)*x^3+f(x)-1 ogf] A133851 25.5295 [-1/(4*x^3-1) ogf] A133851 42.5491 [-12*x^2/(-1+4*x^3) lgdogf] A133851 8.62482 [{a(n+3)-4*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A133853 11.4257 [-64*f(x)*x^2+65*f(x)*x-f(x)+x ogf] A133853 17.1901 [x/(64*x-1)/(x-1) ogf] A133853 7.24882 [{a(n+2)-65*a(n+1)+64*a(n),a(0)=0,a(1)=1} ogf] A133872 20.2510 [-1/(x-1)/(x^2+1) ogf] A133872 25.7844 [[x^3-x+1] ogf_with_Euler_transform] A133872 33.5406 [-(-2*x+1+3*x^2)/(x-1)/(1+x^2) lgdogf] A133872 6.75034 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A133872 7.27464 [-(f(x)-1)*(f(x)*x^3-f(x)*x^2+f(x)*x-f(x)+1) ogf] A133873 11.4755 [-(2*x^3+1)/(x-1)/(x^6+x^3+1) ogf] A133873 15.6883 [-(1+9*x^6-6*x^5+3*x^2-6*x^8+8*x^9)/(x-1)/(1+2*x^3)/(x^6+x^3+1) lgdogf] A133874 8.60777 [-(1+14*x^12-x^4+4*x^3+16*x^7-10*x^8-8*x^11-16*x^15+21*x^16-12*x^19+15*x^20)/(x-1)/(x^4+1)/(1+x^8)/(3*x^8+2*x^4+1) lgdogf] A133874 8.88483 [-(3*x^8+2*x^4+1)/(x-1)/(x^4+1)/(x^8+1) ogf] A133875 6.96290 [-(4*x^15+3*x^10+2*x^5+1)/(x-1)/(x^20+x^15+x^10+x^5+1) ogf] A133876 5.90695 [-(5*x^24+4*x^18+3*x^12+2*x^6+1)/(x-1)/(x^2+1)/(x^4-x^2+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x^12-x^6+1) ogf] A133877 5.06086 [-(6*x^35+5*x^28+4*x^21+3*x^14+2*x^7+1)/(x-1)/(x^42+x^35+x^28+x^21+x^14+x^7+1) ogf] A133882 8.61674 [-(x^4+2*x^3+2*x+1)/(x-1)/(x^2+1)/(x^4+1) ogf] A133882 9.92528 [-(3-2*x-6*x^6-2*x^4+4*x^5+7*x^2+16*x^7-5*x^8+6*x^9+3*x^10)/(x-1)/(1+x^2)/(x^4+1)/(x^4+2*x^3+2*x+1) lgdogf] A133884 8.22054 [-(x^8+2*x^6+2*x^2+1)/(x-1)/(x^4+1)/(x^8+1) ogf] A133893 12.5709 [(x+2)*(x^2-x+3)/(x^2+x+1)/(x-1)^2 ogf] A133893 13.5071 [-(7+9*x+x^5+3*x^4+5*x^3+29*x^2)/(x-1)/(x+2)/(x^2+x+1)/(x^2-x+3) lgdogf] A133893 5.19398 [{(-3*n-13)*a(n+1)-3*a(n+2)-3*a(n+3)+(3*n+10)*a(n+4),a(0)=6,a(1)=7,a(2)=8,a(3)=15} ogf] A133893 6.82988 [-(69*f(x)+1007)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x-6) ogf] A133894 10.9840 [(x^2-2*x+3)*(x^2+3*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A133894 9.33901 [-(13+15*x+x^7+3*x^6+5*x^5+7*x^4+67*x^3+17*x^2)/(x-1)/(x+1)/(x^2-2*x+3)/(x^2+3*x+4)/(x^2+1) lgdogf] A133895 7.63688 [-(21+23*x+9*x^5+129*x^4+27*x^3+7*x^6+5*x^7+3*x^8+25*x^2+x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x+20) lgdogf] A133895 9.68892 [(x^5+x^4+x^3+x^2+x+20)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A133897 8.21110 [(x^7+x^6+x^5+x^4+x^3+x^2+x+42)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A133898 7.47136 [(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+56)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A133899 7.03938 [(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+72)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A133915 5.72032 [16*f(x)^2*x^3+24*f(x)^2*x^2-15*f(x)^2*x-8*f(x)*x^2+2*f(x)^2+10*f(x)*x-2*f(x)+x ogf] A133925 10.2184 [-(1+4*x+8*x^6+13*x^4+12*x^3+12*x^5+11*x^2+4*x^7)/(2*x^3+2*x^2+2*x+1)/(x^5+x^4+x^3-x-1) lgdogf] A133925 10.9530 [-x*(2*x^3+2*x^2+2*x+1)/(x^5+x^4+x^3-x-1) ogf] A133926 12.4542 [-(1+2*x-4*x^6-4*x^5-2*x^3+2*x^9+4*x^2)/(-1+x)/(x^4-x-1)/(x^5+x^4+x^3-x-1) lgdogf] A133926 22.4810 [1/(x-1)/(x^5+x^4+x^3-x-1) ogf] A133931 10.1403 [(x^3+4*x^2-2)/(x^2+x-1)/(x-1)^2 ogf] A133931 11.8983 [-(6-10*x+9*x^4+7*x^3+x^5-7*x^2)/(x-1)/(x^2+x-1)/(x^3+4*x^2-2) lgdogf] A133931 4.06725 [{(-3*n-4)*a(n+1)-3*a(n+2)+(6*n+5)*a(n+3)+(-3*n-1)*a(n+4),a(0)=2,a(1)=6,a(2)=10,a(3)=15} ogf] A133931 5.28742 [-(3*f(x)+1775)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x-4*x^2-f(x)+2) ogf] A133942 14.183 [f(x)*x+f(x)-1 egf] A133942 23.2601 [1/(x+1) egf] A133942 6.60799 [{(-n-2)*a(n+1)-a(n+2),a(0)=1,a(1)=-1} ogf] A133942 66.6412 [-1+exp(x) revegf] A133942 74.9713 [-1/(x+1) lgdegf] A133953 11.3715 [2*(2*x-1)*(x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A133953 11.7275 [-(3-9*x+3*x^2+7*x^3+4*x^4)/(x-1)/(2*x-1)/(x+1)/(x^2+2*x-1) lgdogf] A133953 3.48575 [{(-2*n-5)*a(n+1)+(-2*n-7)*a(n+2)+(6*n+11)*a(n+3)+(-2*n-3)*a(n+4),a(0)=2,a(1)=6,a(2)=12,a(3)=24} ogf] A133953 6.03185 [-(4*f(x)+1)*(f(x)*x^4-4*f(x)*x^2+4*f(x)*x-4*x^2-f(x)-2*x+2) ogf] A133985 3.36360 [-(-x^9+2*x^7-x^6-x^5+x^4-2*x^3+2*x-1)/(x^10-x^9+x^7-x^6+x^4-x^3+x-1) ogf_with_Euler_transform] A133985 99.9999 Evaluated at exp(-Pi) 1/12*exp(1/24*Pi)*2^(3/4)*GAMMA(2/3)*3^(3/4)/Pi^(1/4)*(1+3^(1/2))/GAMMA(11/12) A133988 3.60898 [-(x^11-2*x^10+3*x^9-x^8+x^7-2*x^6+2*x^5-2*x^4+x^3-x^2+3*x-2)/(-x^12+1) ogf_with_Euler_transform] A133988 99.9999 Evaluated at exp(-Pi) exp(1/8*Pi)*Pi^(1/4)*2^(1/12)/GAMMA(3/4)/(2^(1/2)*(1+3^(1/2)))^(1/3) A133993 5.74524 [(16*f(x)+9)*(2*f(x)*x^4+f(x)*x^3-3*f(x)*x^2+4*x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A134005 13.2322 [-(2*x^20-2*x^18-2)/(x^2-1) ogf_with_Euler_transform] A134006 3.81809 [(216*f(x)+2129)*(105*f(x)*x^4-176*f(x)*x^3+86*f(x)*x^2+176*x^3-16*f(x)*x-172*x^2+f(x)+48*x-4) ogf] A134006 5.20168 [-2*(2-43*x+370*x^2-1618*x^3+3782*x^4-4515*x^5+2310*x^6)/(x-1)/(7*x-1)/(-1+3*x)/(5*x-1)/(-1+4*x)/(11*x^2-8*x+1) lgdogf] A134006 6.63826 [-4*(4*x-1)*(11*x^2-8*x+1)/(x-1)/(3*x-1)/(7*x-1)/(5*x-1) ogf] A134007 5.13323 [-(1689*x^4-1900*x^3+690*x^2-100*x+5)/(x-1)/(3*x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A134008 3.85383 [-2*(6*x-1)*(1627*x^4-1752*x^3+578*x^2-72*x+3)/(x-1)/(9*x-1)/(7*x-1)/(3*x-1)/(5*x-1)/(11*x-1) ogf] A134011 26.8091 [x^8-2*x^4+2 ogf_with_Euler_transform] A134011 6.89071 [-(2+4*x+9*x^8+8*x^3+7*x^9+5*x^10+6*x^2+x^12+3*x^11)/(-1+x)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1) lgdogf] A134011 8.03620 [-(x^4+x^3+x^2+x+1)^2/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A134012 7.52892 [-(x^2+3*x+1)^2/(x-1)/(x^4+x^3+x^2+x+1) ogf] A134012 7.88327 [-(6+4*x+x^6+9*x^5+5*x^4)/(-1+x)/(1+3*x+x^2)/(x^4+x^3+x^2+x+1) lgdogf] A134013 4.30588 [-(2*x^10+3*x^8+x^7+x^2-x+2)/(-x^11-x^10-x^9-x^8-x^3-x^2-x-1) ogf_with_Euler_transform] A134014 3.15074 [-(2*x^13+2*x^12-x^11+2*x^8+x^7+3*x^5+2*x^4-2*x^3+x+2)/(-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf_with_Euler_transform] A134016 10.3082 [(x^3-2*x^2-6*x-2)/(x^4+4*x^2-1) ogf] A134016 6.03636 [(120044*f(x)+388857)*(f(x)*x^4+4*f(x)*x^2-x^3+2*x^2-f(x)+6*x+2) ogf] A134016 9.94593 [-(x+3)*(x^5-7*x^4-x^3-5*x^2-6*x-2)/(x^3-2*x^2-6*x-2)/(x^4+4*x^2-1) lgdogf] A134017 4.56471 [-(x^8+2*x^7+4*x^6+3*x^5+5*x^4+3*x^3+4*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A134018 5.07420 [-(-3+40*x+720*x^5-1254*x^4+796*x^3-245*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(4*x-1)/(15*x^2-7*x+1) lgdogf] A134018 5.19473 [(2418*f(x)+199)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-15*x^3-10*f(x)*x+7*x^2+f(x)-x) ogf] A134018 9.52368 [x*(15*x^2-7*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A134019 10.6874 [-(9*x^3-19*x^2+8*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A134019 5.80377 [-(2402*f(x)+807)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+9*x^3-10*f(x)*x-19*x^2+f(x)+8*x-1) ogf] A134021 11.5795 [(-1-2*x-5*x^4+4*x^5+x^2-14*x^13+13*x^14-41*x^40+40*x^41)/(x-1)/(x^41+x^14+x^5+x^2+1) lgdogf] A134021 14.7954 [-(x^41+x^14+x^5+x^2+1)/(x-1) ogf] A134025 6.45557 [(3-x-20*x^3+8*x^4-1720*x^22+880*x^21+91*x^9-195*x^8+104*x^7+840*x^23+12*x^2)/(x-1)/(40*x^23-40*x^22+13*x^9-13*x^8+4*x^4-4*x^3+x^2-x-1) lgdogf] A134025 7.83504 [-x*(40*x^23-40*x^22+13*x^9-13*x^8+4*x^4-4*x^3+x^2-x-1)/(x-1)^2 ogf] A134029 7.47509 [-(3*x^8+2*x^7+4*x^6+x^5+5*x^4+x^3+4*x^2+2*x+3)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A134035 5.69397 [(3*x^6+4*x^5-7*x^3-8*x^2+2*x+2)/(x+1)/(3*x^4-5*x^2+1)/(x-1)^2 ogf] A134045 10.6874 [(3*x^3+12*x^2-7*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A134045 5.84247 [(10338*f(x)-12821)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-3*x^3-10*f(x)*x-12*x^2+f(x)+7*x-1) ogf] A134057 11.7878 [-(7-28*x+24*x^2)/(-1+x)/(2*x-1)/(4*x-1) lgdogf] A134057 13.5413 [-3*x^2/(x-1)/(2*x-1)/(4*x-1) ogf] A134057 5.61169 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A134057 7.59632 [8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+3*x^2-f(x) ogf] A134062 14.5823 [-(4*x^2-5*x-1)/(2*x-1)/(x-1) ogf] A134062 7.50350 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=8,a(2)=18} ogf] A134062 8.22191 [(3*f(x)+13)*(2*f(x)*x^2-3*f(x)*x+4*x^2+f(x)-5*x-1) ogf] A134063 11.7078 [-(1-8*x+42*x^4-60*x^3+31*x^2)/(x-1)/(3*x-1)/(2*x-1)/(7*x^2-5*x+1) lgdogf] A134063 12.4916 [-(7*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A134063 6.85380 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A134063 6.91498 [(f(x)-2)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A134064 5.47822 [(270*f(x)-1223)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+17*x^3-10*f(x)*x-21*x^2+f(x)+8*x-1) ogf] A134064 9.76840 [-(17*x^3-21*x^2+8*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A134067 14.3861 [-(2*x^2-3*x-1)/(2*x-1)/(x-1) ogf] A134067 19.1949 [2*(-3+4*x)/(-1+x)/(2*x-1)/(2*x^2-3*x-1) lgdogf] A134067 7.40255 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=6,a(2)=14} ogf] A134067 8.1113 [(5*f(x)+13)*(2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-3*x-1) ogf] A134068 8.68253 [-(22*f(x)+21)*(4*f(x)*x^3+2*f(x)*x^2+3*x^2-f(x)+3*x) ogf] A134077 8.18055 [-(-4*x^4-x^3-3*x^2+x-5)/(x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A134079 7.40926 [-(-4*x^7-2*x^6+4*x^5+4*x^4-2*x^3-4*x^2-4*x+2)/(x^8+x^4+1) ogf_with_Euler_transform] A134079 99.9999 Evaluated at exp(-Pi) 1/72*exp(2/3*Pi)*GAMMA(2/3)^2/GAMMA(3/4)^2*(1+3^(1/2))^2/GAMMA(11/12)^2 A134119 15.0281 [x^4*(x^4+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A134119 7.22727 [-(1+x+x^2+5*x^3+2*x^4+2*x^5+2*x^6+2*x^7+2*x^8+12*x^9+x^10+x^11+x^12+7*x^13)/(x-1)/(x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A134132 8.18068 [-(x^16-x^14+x^12+x^10+x^6+x^4-x^2+1)/(x^18-1) ogf_with_Euler_transform] A134136 15.4835 [-x*(x+1)/(2*x-1)/(2*x^2+2*x+1) ogf] A134136 8.73006 [-(22*f(x)+7)*(4*f(x)*x^3+2*f(x)*x^2+x^2-f(x)+x) ogf] A134136 8.82394 [{a(n+3)-2*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A134137 18.5215 [-(-3+12*x+4*x^3-12*x^2)/(x-1)^4 lgdegf] A134138 23.1540 [-(2-6*x+3*x^2)/(x-1)^3 lgdegf] A134139 16.3934 [-(4-20*x+5*x^4-20*x^3+30*x^2)/(x-1)^5 lgdegf] A134140 14.1333 [-(-5+30*x+6*x^5-30*x^4+60*x^3-60*x^2)/(x-1)^6 lgdegf] A134142 10.4451 [{a(n+2)+2*a(n+1)+2*a(n),a(0)=2,a(1)=-3} ogf] A134142 19.0333 [(x+2)/(2*x^2+2*x+1) ogf] A134142 27.2064 [-(3+8*x+2*x^2)/(x+2)/(2*x^2+2*x+1) lgdogf] A134142 28.9068 [-(-1+x+(1-x-x^2)^(1/2))/(-1+2*x) revogf] A134142 9.95929 [(2*f(x)-13)*(2*f(x)*x^2+2*f(x)*x+f(x)-x-2) ogf] A134153 12.1971 [-(7*x^2+22*x+1)/(x-1)^3 ogf] A134153 20.0396 [-(25+58*x+7*x^2)/(x-1)/(7*x^2+22*x+1) lgdogf] A134153 6.24975 [(30200*f(x)-390839)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+22*x+1) ogf] A134153 6.63351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=79} ogf] A134154 12.4584 [-(25*x^2+4*x+1)/(x-1)^3 ogf] A134154 20.4748 [-(25*x^2+58*x+7)/(x-1)/(25*x^2+4*x+1) lgdogf] A134154 6.49095 [(7225*f(x)-67498)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+4*x+1) ogf] A134154 6.83560 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=43} ogf] A134155 5.96998 [-(589*x^4+9446*x^3+12858*x^2+1802*x+1)/(x-1)^5 ogf] A134155 7.19627 [-(1807+32924*x+589*x^4+21248*x^3+66912*x^2)/(x-1)/(589*x^4+9446*x^3+12858*x^2+1802*x+1) lgdogf] A134157 9.46163 [-(x^8+x^6+x^5+x^4+x^3+x^2+1)/(x^10-1) ogf_with_Euler_transform] A134158 7.11532 [-(373*x^4+8498*x^3+13638*x^2+2186*x+1)/(x-1)^5 ogf] A134158 7.19627 [-(2191+36020*x+373*x^4+18488*x^3+66408*x^2)/(x-1)/(373*x^4+8498*x^3+13638*x^2+2186*x+1) lgdogf] A134159 5.94413 [-(163*x^4+6596*x^3+14556*x^2+3368*x+13)/(x-1)^5 ogf] A134159 7.15061 [-(3433+42584*x+163*x^4+13844*x^3+63456*x^2)/(x-1)/(163*x^4+6596*x^3+14556*x^2+3368*x+13) lgdogf] A134160 6.00298 [-(13*x^4+3368*x^3+14556*x^2+6596*x+163)/(x-1)^5 ogf] A134160 7.39081 [-(7411+55496*x+13*x^4+6788*x^3+53772*x^2)/(x-1)/(163+6596*x+14556*x^2+3368*x^3+13*x^4) lgdogf] A134161 6.11849 [-(x^4+2186*x^3+13638*x^2+8498*x+373)/(x-1)^5 ogf] A134161 7.92551 [-(10363+61268*x+47472*x^2+4376*x^3+x^4)/(x-1)/(x^4+2186*x^3+13638*x^2+8498*x+373) lgdogf] A134163 10.1019 [-(187+1940*x+x^4+368*x^3+2364*x^2)/(x-1)/(x^4+182*x^3+606*x^2+182*x+1) lgdogf] A134163 7.13467 [-(x^4+182*x^3+606*x^2+182*x+1)/(x-1)^5 ogf] A134165 3.16795 [(1602*f(x)-1489)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+x^3-10*f(x)*x-13*x^2+f(x)+7*x-1) ogf] A134165 5.71776 [-(x^3-13*x^2+7*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A134168 10.7281 [-(5*x^3-14*x^2+7*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A134168 5.94393 [-(34*f(x)-13)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+5*x^3-10*f(x)*x-14*x^2+f(x)+7*x-1) ogf] A134169 10.1493 [-(7*x^2-5*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A134169 5.51978 [(50*f(x)-17)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A134169 5.56862 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A134169 9.06679 [-(2-14*x+45*x^2-80*x^3+56*x^4)/(x-1)/(-1+2*x)/(-1+4*x)/(7*x^2-5*x+1) lgdogf] A134171 100.983 [-4/(x-1) lgdogf] A134171 15.0288 [27*x^3/(x-1)^4 ogf] A134171 6.44090 [{(-1+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=27} ogf] A134171 61.9987 [[4] ogf_with_Euler_transform] A134171 8.11553 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+27*x^3+4*f(x)*x-f(x) ogf] A134172 10.8979 [x^2*(x+1)*(x^2-x+1)/(x-1)^2/(x^2+1)^2 ogf] A134172 15.8204 [-(2-4*x-x^4-x^3+3*x^5+9*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1) lgdogf] A134172 22.5274 [-x^5+2*x^3+x^2-2*x+2 ogf_with_Euler_transform] A134175 12.2609 [-384*x^4/(x-1)^5 ogf] A134175 5.77505 [{(-2+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=384} ogf] A134175 6.58643 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+384*x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A134175 60.7855 [[5] ogf_with_Euler_transform] A134175 99.6197 [-5/(x-1) lgdogf] A134176 20.1635 [-(16+74*x+45*x^2)/(x-1)/(15*x^2+11*x+1) lgdogf] A134176 8.81590 [-9*x^2*(15*x^2+11*x+1)/(x-1)^5 ogf] A134184 4.52863 [-2*f(x)^2*x^4-4*f(x)^2*x^3-f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A134186 11.4509 [-(5*x^4+5*x^3-7*x-4)/(x^2-x-1)/(x^3+x^2-1) ogf] A134186 9.61815 [-(x+1)*(5*x^7+5*x^6+5*x^5-13*x^4-12*x^3+10*x^2+13*x+3)/(x^2-x-1)/(x^3+x^2-1)/(5*x^4+5*x^3-7*x-4) lgdogf] A134201 10.0059 [-(f(x)-1)*(f(x)*x+4*x^2-f(x)+x+1) ogf] A134201 17.5659 [-(4*x^2+x+1)/(x-1) ogf] A134201 5.48389 [2*(-1-4*x+2*x^2)/(-1+x)/(1+4*x^2+x) lgdogf] A134201 9.41031 [{-a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A134202 15.7309 [-(x^3+8*x^2+4*x+1)/(x-1) ogf] A134202 8.50755 [{a(n+4)-a(n+3),a(0)=1,a(1)=5,a(2)=13,a(3)=14} ogf] A134202 9.26379 [(2941*f(x)-68479)*(x^3+f(x)*x+8*x^2-f(x)+4*x+1) ogf] A134227 13.7770 [-(-4-2*x+3*x^2)/(-1+x)/(x^3-x-1) lgdogf] A134227 7.46041 [(x^3-x-1)/(x-1)^3 ogf] A134227 8.75834 [(67*f(x)-1432)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x-f(x)+x+1) ogf] A134230 12.4466 [-1/20*(-3-110*x+3*(1-20*x+900*x^2)^(1/2))/(21+100*x) revogf] A134230 12.6549 [-3*(70*x-1)/(100*x-1)/(10*x-1) ogf] A134230 13.2087 [-40*(1-50*x+1750*x^2)/(100*x-1)/(70*x-1)/(10*x-1) lgdogf] A134230 6.64703 [-(83*f(x)-185)*(1000*f(x)*x^2-110*f(x)*x+f(x)+210*x-3) ogf] A134230 7.39389 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=3,a(1)=120} ogf] A134238 12.8667 [-(2*x^2+2*x+1)/(x-1)^3 ogf] A134238 22.6340 [-(5+8*x+2*x^2)/(x-1)/(2*x^2+2*x+1) lgdogf] A134238 6.7083 [(4825*f(x)-7849)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+2*x+1) ogf] A134238 6.94576 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=14} ogf] A134241 17.8273 [-5*(4*x+5)*(3*x+1)/(x-1)/(5*x+1)/(3*x+2) lgdogf] A134241 3.44434 [{(-3097*n^2-15875*n-19362)*a(n+1)+(218*n^2-16882*n-55286)*a(n+2)+(2879*n^2+2877*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=384} ogf] A134241 6.88868 [192*x^3*(3*x+2)*(5*x+1)/(x-1)^6 ogf] A134250 11.7245 [-(7*x^2-9*x-4)/(x-1)/(x^2-3*x-1) ogf] A134250 12.1568 [-(1+18*x+7*x^4-18*x^3+10*x^2)/(x-1)/(7*x^2-9*x-4)/(x^2-3*x-1) lgdogf] A134250 6.06099 [-(89*f(x)+127)*(f(x)*x^3-4*f(x)*x^2+2*f(x)*x+7*x^2+f(x)-9*x-4) ogf] A134250 6.38569 [{-a(n+3)-2*a(n+2)+4*a(n+1)-a(n),a(0)=4,a(1)=1,a(2)=7} ogf] A134267 3.43102 [(4*f(x)+19)*(f(x)*x^4+2*x^4+2*x^3+3*x^2-f(x)+2*x+3) ogf] A134267 4.85620 [-(2*x^4+2*x^3+3*x^2+2*x+3)/(x-1)/(x+1)/(x^2+1) ogf] A134268 8.36631 [-x*(99*x^7+36*x^6+117*x^5+108*x^4+54*x^3+19*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A134270 14.8373 [-(x-1)/(2*x-1)/(2*x^3+x^2-1) ogf] A134270 7.63474 [(3*f(x)+5)*(4*f(x)*x^4-f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A134271 7.69513 [(6*f(x)+5)*(2*f(x)*x^3+f(x)*x^2-x^3+2*x^2-f(x)+x) ogf] A134287 4.26342 [(5*x^4+40*x^3+60*x^2+20*x+1)/(x-1)^10 ogf] A134287 5.23395 [{(n^2+13*n+42)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=30} ogf] A134287 9.70616 [-30*(1+10*x+x^4+10*x^3+20*x^2)/(x-1)/(5*x^4+40*x^3+60*x^2+20*x+1) lgdogf] A134288 6.11887 [{(n^2+17*n+72)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=28} ogf] A134288 9.36188 [-4*(7+70*x+2*x^5+35*x^4+140*x^3+175*x^2)/(x-1)/(x+1)/(x^4+14*x^3+36*x^2+14*x+1) lgdogf] A134289 6.22840 [{(n^2+19*n+90)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=36} ogf] A134289 7.84602 [-9*(4+56*x+210*x^2+280*x^3+140*x^4+24*x^5+x^6)/(x-1)/(x^6+21*x^5+105*x^4+175*x^3+105*x^2+21*x+1) lgdogf] A134290 6.12544 [{(n^2+21*n+110)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=45} ogf] A134291 4.78351 [{(n^2+23*n+132)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=55} ogf] A134297 13.4169 [-f(x)*x^2+2*f(x)*x-f(x)+107*x ogf] A134297 23.1376 [107/(x-1)^2 ogf] A134297 24.0812 [428*x/(107+(11449+428*x)^(1/2))^2 revogf] A134297 61.9152 [[2] ogf_with_Euler_transform] A134297 9.41648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=107,a(1)=214} ogf] A134297 99.3350 [-2/(x-1) lgdogf] A134298 3.33280 [14025517307*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A134298 7.89215 [-2*(16+131*x+x^4+41*x^3+171*x^2)/(x-1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A134300 4.97726 [(7*x^4+x^3-2*x^2+2*x+6)/(x+1)/(x^4+1) ogf] A134300 5.29509 [-(4+4*x+7*x^8-5*x^6+4*x^5+2*x^7+15*x^4-6*x^3-x^2)/(x+1)/(7*x^4+x^3-2*x^2+2*x+6)/(x^4+1) lgdogf] A134301 8.41400 [-(3+2*x+3*x^6+12*x^5+5*x^4)/(-1+x)/(1+3*x+x^2)/(x^4+x^3+x^2+x+1) lgdogf] A134301 8.42755 [-2*x*(x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A134311 11.4248 [2*(1-2*x+2*x^4)/(-1+x)/(2*x-1)/(2*x^4-8*x^3+8*x^2-4*x+1) lgdogf] A134311 4.38426 [(f(x)+198)*(4*f(x)*x^4-12*f(x)*x^3-2*x^4+13*f(x)*x^2+8*x^3-6*f(x)*x-8*x^2+f(x)+4*x-1) ogf] A134311 7.50869 [(2*x^4-8*x^3+8*x^2-4*x+1)/(2*x-1)^2/(x-1)^2 ogf] A134314 10.5366 [-8*(x^2+x+1)/(x^2+1)/(x+1)^2 ogf] A134314 16.9574 [-(1+x+2*x^4+3*x^3+5*x^2)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A134314 21.9229 [x^3-x^2+x-1 ogf_with_Euler_transform] A134314 5.08411 [{-a(n+4)-2*a(n+3)-2*a(n+2)-2*a(n+1)-a(n),a(0)=-8,a(1)=8,a(2)=-8,a(3)=16} ogf] A134314 5.59253 [(f(x)-10)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+8*x^2+f(x)+8*x+8) ogf] A134316 3.43147 [{(n+5)*a(n+1)-a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=2,a(1)=4,a(2)=8,a(3)=28} ogf] A134325 3.89030 [-(x^8+7*x^7-40*x^6-60*x^5+18*x^4+51*x^3+10*x^2-9*x-3)/(x^9+7*x^8-43*x^7-48*x^6+38*x^5+47*x^4-7*x^3-13*x^2+1) ogf] A134326 4.10411 [-(11*x^7+10*x^6-51*x^5-51*x^4+10*x^3+25*x^2+x-3)/(5*x^8+8*x^7-42*x^6-37*x^5+19*x^4+23*x^3-5*x^2-4*x+1) ogf] A134327 13.1797 [-(-1+17*x+x^5+50*x^2+70*x^3+7*x^4)/(x-1)/(x^5+x^4+22*x^3-4*x^2+5*x-1) lgdogf] A134327 8.11215 [(x^5+x^4+22*x^3-4*x^2+5*x-1)/(x-1)^6 ogf] A134340 13.4540 [-(6*x^2+7*x+5)/(-x^3-2*x^2-2*x-1) ogf_with_Euler_transform] A134341 13.0717 [-f(x)*x^2+2*f(x)*x-f(x)+144 ogf] A134341 22.7821 [144/(x-1)^2 ogf] A134341 39.1165 [x/(6+(36+x)^(1/2))^2 revogf] A134341 60.9528 [[2] ogf_with_Euler_transform] A134341 9.27179 [{-a(n+2)+2*a(n+1)-a(n),a(0)=144,a(1)=288} ogf] A134341 97.7912 [-2/(x-1) lgdogf] A134343 11.0973 [-(2*x^3+2*x^2+2)/(-x^4+1) ogf_with_Euler_transform] A134343 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(1/2)*2^(1/2)/GAMMA(3/4)^2 A134350 3.10727 [(8*x^2-x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A134351 13.0232 [-(6*x^2-3*x-1)/(2*x-1)/(x-1) ogf] A134351 15.3749 [-2*(3-8*x+6*x^2)/(x-1)/(2*x-1)/(6*x^2-3*x-1) lgdogf] A134351 6.70128 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=6,a(2)=10} ogf] A134351 7.04318 [-(f(x)+17)*(2*f(x)*x^2-3*f(x)*x+6*x^2+f(x)-3*x-1) ogf] A134353 20.0471 [1/(2*x+1)/(2*x-1)^2 ogf] A134353 28.0002 [-2*(1+6*x)/(2*x-1)/(2*x+1) lgdogf] A134353 6.62270 [{a(n+3)-2*a(n+2)-4*a(n+1)+8*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A134353 7.49234 [(3*f(x)+5)*(8*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A134389 3.35216 [8*f(x)^2*x^3-12*f(x)^2*x^2-4*f(x)*x^3+6*f(x)^2*x+12*f(x)*x^2+x^3-f(x)^2-9*f(x)*x-2*x^2+2*f(x)+3*x-1 ogf] A134393 11.0932 [-(3*x^2-2*x+1)/(x-1)^5 ogf] A134393 15.8841 [-(3-2*x+9*x^2)/(-1+x)/(3*x^2-2*x+1) lgdogf] A134393 4.38180 [{(-n-4)*a(n+4)+(12+3*n)*a(n+3)+(-12-5*n)*a(n+2)+(12+3*n)*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=20} ogf] A134396 12.6372 [-(-3+12*x+10*x^3-21*x^2)/(x-1)/(-1+2*x)/(5*x^2-4*x+1) lgdogf] A134396 4.43885 [{(6*n+12)*a(n+1)+(-5*n-1)*a(n+2)+(n-1)*a(n+3),a(0)=1,a(1)=3,a(2)=9,a(3)=27,a(4)=80} ogf] A134396 5.9521 [f(x)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+5*x^3-8*f(x)*x-9*x^2+f(x)+5*x-1) ogf] A134396 9.82096 [-(x-1)*(5*x^2-4*x+1)/(2*x-1)^4 ogf] A134401 12.5797 [(4*x^2-2*x+1)/(2*x-1)^2 ogf] A134401 19.7956 [-2*(2*x+1)/(-1+2*x)/(4*x^2-2*x+1) lgdogf] A134401 6.53652 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A134401 9.39049 [-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-2*x+1 ogf] A134405 5.03395 [-(-1+3*x+2*x^6+3*x^5+2*x^7-9*x^4+4*x^3+4*x^2)/(-1+x)/(x+1)/(x^2+1)/(2*x^4+2*x^3+x^2-2*x-1) lgdogf] A134405 9.00465 [-(2*x^4+2*x^3+x^2-2*x-1)/(x-1)/(x^2+1)/(x+1)^2 ogf] A134410 10.4814 [-(x-2)*(2*x^2-3*x+3)/(x^2+x-1)^2 ogf] A134410 11.1481 [-(-3-29*x+33*x^2-16*x^3+2*x^4)/(x-2)/(2*x^2-3*x+3)/(x^2+x-1) lgdogf] A134410 5.84829 [(5*f(x)+33)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x-7*x^2+f(x)+9*x-6) ogf] A134414 12.1420 [-(5*x^2+3*x+2)/(x^3+x^2+x+1) ogf_with_Euler_transform] A134414 99.9999 Evaluated at exp(-Pi) 32*exp(-Pi)/Pi^(5/4)*GAMMA(3/4)^5 A134415 13.9418 [-(-5*x^3-8*x^2-3*x-8)/(-x^4+1) ogf_with_Euler_transform] A134415 99.9999 Evaluated at exp(-Pi) 4*exp(-1/4*Pi)/Pi^(5/4)*2^(1/4)*GAMMA(3/4)^5 A134416 99.9999 Evaluated at exp(-Pi) 2/Pi^(5/4)*GAMMA(3/4)^5 A134418 2.24013 [(18*f(x)+7)*(4*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A134418 4.28113 [-(3*x+1)/(4*x^2+2*x-1) ogf] A134425 23.0166 [x*(1+2*x)/(1+3*x)/(4*x+1) revogf] A134425 7.01725 [-1/2*(-5*x+1+12*(x^2-6*x+1)^(1/2)*x-(x^2-6*x+1)^(1/2))/(x^2-6*x+1)^(1/2)/(6*x-1)/x lgdogf] A134425 7.53324 [12*f(x)^2*x^2-2*f(x)^2*x+7*f(x)*x-f(x)+1 ogf] A134429 11.8496 [-(x-1)*(3*x^2+4*x+3)/(x^2+1)/(x+1)^2 ogf] A134429 15.6720 [-(-5-9*x+3*x^5-22*x^2-6*x^3-x^4)/(x-1)/(x+1)/(x^2+1)/(3*x^2+4*x+3) lgdogf] A134429 4.65519 [{(2*n+7)*a(n+1)+(2*n+5)*a(n+2)+(2*n+7)*a(n+3)+(2*n+5)*a(n+4),a(0)=3,a(1)=-5,a(2)=3,a(3)=-5} ogf] A134429 6.56416 [(12*f(x)+41)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+3*x^3+2*f(x)*x+x^2+f(x)-x-3) ogf] A134430 10.6543 [-(x^2-3*x+1)/(x-1)/(x^2+1) ogf] A134430 5.70403 [-(-2+x^4-6*x^3+5*x^2)/(-1+x)/(1+x^2)/(x^2-3*x+1) lgdogf] A134430 5.80281 [{-a(n+3)+a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=-2} ogf] A134430 5.85508 [(f(x)+7)*(f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)-3*x+1) ogf] A134432 13.6868 [(9-x+x^3-3*x^2)/(-1+x)/(x-2)/(x+1) lgdegf] A134432 4.15659 [{(-n^2-7*n-12)*a(n+1)+(n^2+8*n+16)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A134437 21.8842 [-(2*x+7)/(2+x)/(-1+x) lgdegf] A134437 4.7297 [f(x)*(2*f(x)*x^3-6*f(x)*x^2+6*f(x)*x+x^2-2*f(x)+2*x) egf] A134437 8.21474 [-1/2*x*(x+2)/(x-1)^3 egf] A134438 10.4832 [-(x-1)*(x^2+x+1)/(x^6-x^4-6*x^3-2*x^2-x+1) ogf] A134438 8.84312 [-(1+4*x+2*x^4+6*x^3+3*x^8-x^6-6*x^5+15*x^2)/(x-1)/(x^2+x+1)/(x^6-x^4-6*x^3-2*x^2-x+1) lgdogf] A134449 5.58678 [x*(x^5-6*x^4+2*x^3-16*x^2-3*x-2)/(x+1)^4/(x-1)^5 ogf] A134449 8.63533 [-(-5-53*x-29*x^5+11*x^4-134*x^3+4*x^6-34*x^2)/(x-1)/(x+1)/(x^5-6*x^4+2*x^3-16*x^2-3*x-2) lgdogf] A134450 5.43330 [25*(1729*x^4+44938*x^3+114048*x^2+44918*x+1727)/(x-1)^6 ogf] A134451 11.8872 [{a(n+3)-a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A134451 14.726 [-f(x)*(f(x)*x^2+2*x^2-f(x)+x) ogf] A134451 21.9253 [-x*(2*x+1)/(x-1)/(x+1) ogf] A134451 28.6082 [1/2/(2+x)*(-1+(1+8*x+4*x^2)^(1/2)) revogf] A134451 30.3962 [-2*(1+x+x^2)/(x-1)/(1+2*x)/(x+1) lgdogf] A134455 8.27744 [-(2*f(x)*x-f(x)-x+1)^3 ogf] A134456 10.1041 [-(83*x^6+70*x^5+84*x^4+87*x^3+84*x^2+77*x+83)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A134461 14.6439 [-(8*x^3-4*x^2+12*x-4)/(-x^4+1) ogf_with_Euler_transform] A134461 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi^2/GAMMA(3/4)^8 A134465 10.6171 [-(2*x^2-2*x-1)/(x-1)^4 ogf] A134465 18.8851 [-2*(x+1)*(-3+2*x)/(-1+x)/(2*x^2-2*x-1) lgdogf] A134465 5.50814 [(43*f(x)+1689)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A134479 13.3682 [(x^3-3*x^2-1)/(x-1)^3 ogf] A134479 6.53334 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=18} ogf] A134479 9.34337 [f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)+1 ogf] A134481 17.6283 [-5*(1+3*x)/(-1+x)/(x^4-4*x^3+6*x^2+x+1) lgdogf] A134481 4.68037 [{(-3*n^2-9*n)*a(n)+(2*n^2-6*n-8)*a(n+1)+(n^2+3*n+2)*a(n+2),a(0)=1,a(1)=5} ogf] A134481 4.77588 [(14*f(x)+31)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+4*x^3-4*f(x)*x-6*x^2+f(x)-x-1) ogf] A134481 8.25947 [(x^4-4*x^3+6*x^2+x+1)/(x-1)^4 ogf] A134489 12.0642 [-(2*x+1)/(x^2+11*x-1) ogf] A134489 12.3498 [1/2/(2+x)*(-1-11*x+((5*x+1)*(1+25*x))^(1/2)) revogf] A134489 15.0942 [-(13+2*x+2*x^2)/(2*x+1)/(x^2+11*x-1) lgdogf] A134489 6.23541 [(145*f(x)+24)*(f(x)*x^2+11*f(x)*x-f(x)+2*x+1) ogf] A134489 6.60656 [{a(n+2)-11*a(n+1)-a(n),a(0)=1,a(1)=13} ogf] A134490 12.1270 [(x-2)/(x^2+11*x-1) ogf] A134490 13.0067 [1/2/(x-1)*(-2-11*x+(4+40*x+125*x^2)^(1/2)) revogf] A134490 17.6219 [-(x+3)*(x-7)/(x-2)/(x^2+11*x-1) lgdogf] A134490 5.9983 [-(235*f(x)-29)*(f(x)*x^2+11*f(x)*x-f(x)-x+2) ogf] A134490 6.64096 [{-a(n+2)+11*a(n+1)+a(n),a(0)=2,a(1)=21} ogf] A134491 10.9633 [-(x+3)/(x^2+11*x-1) ogf] A134491 11.2041 [1/2/(1+x)*(-3-11*x+((25*x+9)*(5*x+1))^(1/2)) revogf] A134491 15.4056 [-(34+6*x+x^2)/(x+3)/(x^2+11*x-1) lgdogf] A134491 5.79669 [(95*f(x)+4)*(f(x)*x^2+11*f(x)*x-f(x)+x+3) ogf] A134491 6.00370 [{a(n+2)-11*a(n+1)-a(n),a(0)=3,a(1)=34} ogf] A134492 10.9281 [-(-4-9*x+2*(1+2*x)^(1/2)*(2+5*x)^(1/2)*2^(1/2))/x revogf] A134492 11.6796 [-f(x)*x^2+18*f(x)*x-f(x)+8*x ogf] A134492 18.4415 [8*x/(x^2-18*x+1) ogf] A134492 25.4989 [-2*(x-9)/(1-18*x+x^2) lgdogf] A134492 8.54606 [{a(n+2)-18*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A134493 12.7165 [-1/2*(-18*x-1+(320*x^2+16*x+1)^(1/2))/(5+x) revogf] A134493 15.1892 [-(13-2*x+5*x^2)/(5*x-1)/(x^2-18*x+1) lgdogf] A134493 15.6183 [-(5*x-1)/(x^2-18*x+1) ogf] A134493 7.72519 [-(232*f(x)-63)*(f(x)*x^2-18*f(x)*x+f(x)+5*x-1) ogf] A134493 8.55289 [{a(n+2)-18*a(n+1)+a(n),a(0)=1,a(1)=13} ogf] A134494 10.5479 [-1/2*(-18*x-1+((1+8*x)*(40*x+1))^(1/2))/(-3+x) revogf] A134494 13.8630 [-(x+3)*(3*x-7)/(3*x+1)/(x^2-18*x+1) lgdogf] A134494 14.0748 [(3*x+1)/(x^2-18*x+1) ogf] A134494 7.27464 [(376*f(x)+65)*(f(x)*x^2-18*f(x)*x+f(x)-3*x-1) ogf] A134494 7.70765 [{-a(n+2)+18*a(n+1)-a(n),a(0)=1,a(1)=21} ogf] A134495 11.0301 [-2*(x-1)/(x^2-18*x+1) ogf] A134495 13.4133 [-(-1-9*x+(1+16*x+80*x^2)^(1/2))/(2+x) revogf] A134495 15.5092 [-(17-2*x+x^2)/(x-1)/(x^2-18*x+1) lgdogf] A134495 5.45574 [-(152*f(x)-15)*(f(x)*x^2-18*f(x)*x+f(x)+2*x-2) ogf] A134495 6.04029 [{a(n+2)-18*a(n+1)+a(n),a(0)=2,a(1)=34} ogf] A134496 13.4801 [-(9*x^2+90*x-100)/(x-1)^2 ogf] A134496 20.5389 [-2*(-55+54*x)/(x-1)/(9*x^2+90*x-100) lgdogf] A134496 6.98967 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=100,a(1)=110,a(2)=111} ogf] A134496 7.32897 [-(f(x)+5950)*(f(x)*x^2-2*f(x)*x+9*x^2+f(x)+90*x-100) ogf] A134497 11.2752 [-1/2*(-5-18*x+(25+176*x+320*x^2)^(1/2))/(1+x) revogf] A134497 14.6403 [-(x-5)/(x^2-18*x+1) ogf] A134497 15.3753 [-(89-10*x+x^2)/(x-5)/(x^2-18*x+1) lgdogf] A134497 7.16443 [-(1592*f(x)-39)*(f(x)*x^2-18*f(x)*x+f(x)+x-5) ogf] A134497 8.01733 [{a(n+2)-18*a(n+1)+a(n),a(0)=5,a(1)=89} ogf] A134498 11.2059 [1/2*(-13-29*x+(13+58*x+65*x^2)^(1/2)*13^(1/2))/x revogf] A134498 14.0051 [-13*x/(x^2+29*x-1) ogf] A134498 24.4492 [-(29+2*x)/(x^2-1+29*x) lgdogf] A134498 6.58072 [{-a(n+2)+29*a(n+1)+a(n),a(0)=0,a(1)=13} ogf] A134498 8.9541 [-f(x)*x^2-29*f(x)*x+f(x)-13*x ogf] A134499 12.1150 [(8*x-1)/(x^2+29*x-1) ogf] A134499 12.7023 [1/2/(-8+x)*(-1-29*x+(1+26*x+845*x^2)^(1/2)) revogf] A134499 14.3737 [-(2*x+3)*(4*x-7)/(-1+8*x)/(x^2+29*x-1) lgdogf] A134499 5.92862 [-(611*f(x)-170)*(f(x)*x^2+29*f(x)*x-f(x)-8*x+1) ogf] A134499 6.63442 [{-a(n+2)+29*a(n+1)+a(n),a(0)=1,a(1)=21} ogf] A134500 12.2958 [-(5*x+1)/(x^2+29*x-1) ogf] A134500 12.3226 [1/2/(5+x)*(-1-29*x+((1+13*x)*(65*x+1))^(1/2)) revogf] A134500 15.4033 [-(34+2*x+5*x^2)/(5*x+1)/(x^2+29*x-1) lgdogf] A134500 6.35515 [(247*f(x)+42)*(f(x)*x^2+29*f(x)*x-f(x)+5*x+1) ogf] A134500 6.73343 [{a(n+2)-29*a(n+1)-a(n),a(0)=1,a(1)=34} ogf] A134501 12.4767 [(3*x-2)/(x^2+29*x-1) ogf] A134501 12.7917 [1/2/(-3+x)*(-2-29*x+(4+104*x+845*x^2)^(1/2)) revogf] A134501 15.6343 [-(3*x+11)*(x-5)/(3*x-2)/(x^2+29*x-1) lgdogf] A134501 6.04132 [-(1599*f(x)-173)*(f(x)*x^2+29*f(x)*x-f(x)-3*x+2) ogf] A134501 6.83245 [{-a(n+2)+29*a(n+1)+a(n),a(0)=2,a(1)=55} ogf] A134502 12.6575 [-(2*x+3)/(x^2+29*x-1) ogf] A134502 12.6923 [1/2/(2+x)*(-3-29*x+((65*x+9)*(1+13*x))^(1/2)) revogf] A134502 15.8654 [-(89+6*x+2*x^2)/(2*x+3)/(x^2+29*x-1) lgdogf] A134502 6.39828 [(2587*f(x)+160)*(f(x)*x^2+29*f(x)*x-f(x)+2*x+3) ogf] A134502 6.93148 [{a(n+2)-29*a(n+1)-a(n),a(0)=3,a(1)=89} ogf] A134503 11.1854 [(x-5)/(x^2+29*x-1) ogf] A134503 11.4477 [1/2/(x-1)*(-5-29*x+(25+286*x+845*x^2)^(1/2)) revogf] A134503 15.7405 [-(x+8)*(x-18)/(x-5)/(x^2+29*x-1) lgdogf] A134503 5.47372 [-(2093*f(x)-97)*(f(x)*x^2+29*f(x)*x-f(x)-x+5) ogf] A134503 6.05329 [{-a(n+2)+29*a(n+1)+a(n),a(0)=5,a(1)=144} ogf] A134504 11.0677 [1/2/(1+x)*(-8-29*x+((13*x+4)*(65*x+16))^(1/2)) revogf] A134504 11.3032 [-(x+8)/(x^2+29*x-1) ogf] A134504 14.9739 [-(233+16*x+x^2)/(x+8)/(x^2+29*x-1) lgdogf] A134504 5.71369 [(6773*f(x)+105)*(f(x)*x^2+29*f(x)*x-f(x)+x+8) ogf] A134504 6.11701 [{a(n+2)-29*a(n+1)-a(n),a(0)=8,a(1)=233} ogf] A134507 11.9575 [-(19+38*x+60*x^2+38*x^3+25*x^4)/(x-1)/(x^2+x+1)/(5*x^2+3*x+4) lgdogf] A134507 7.63133 [-x*(5*x^2+3*x+4)/(x^2+x+1)/(x-1)^5 ogf] A134508 8.06644 [-(2*x^4-x^3-x^2+2*x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A134512 10.7652 [-(x-1)^2*(x+1)^2/(x^2-x-1)/(x^2+x-1)^2 ogf] A134519 18.4245 [-(2+4*x+x^5-x^4)/(x-1)/(x+1)/(x^4-x^3-x^2+x+1) lgdogf] A134519 9.28931 [-(x^4-x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A134522 5.87727 [(27*f(x)-17)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-3*x^2-f(x)+1) ogf] A134527 9.87736 [x*(x^2+1)*(1-x^2+x^4)*(x^8-x^2-1)/(-1-x-x^5-x^2-2*x^3-2*x^9-x^6-2*x^7-x^13+x^14) revogf] A134538 13.1049 [(x^2-7*x-4)/(x-1)^3 ogf] A134538 23.7628 [-(-19-12*x+x^2)/(x-1)/(x^2-7*x-4) lgdogf] A134538 6.83247 [(1196*f(x)-9569)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+7*x+4) ogf] A134538 7.01227 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=19,a(2)=44} ogf] A134547 11.1991 [-2*(32-19*x+2*x^2)/(-1+x)/(4*x^2-23*x+29) lgdogf] A134547 3.97283 [(548*f(x)-23371)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-23*x+29) ogf] A134547 4.07558 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=64,a(2)=109} ogf] A134547 7.50424 [-(4*x^2-23*x+29)/(x-1)^3 ogf] A134565 40.2540 [x*(-1+2*x)/(x-1)^3 revogf] A134565 7.73406 [f(x)^3*x^3-3*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A134581 4.40481 [{-a(n+4)+4*a(n+3)-7*a(n+2)+6*a(n+1)-3*a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A134581 4.53342 [-(2*f(x)+1)*(3*f(x)*x^4-6*f(x)*x^3+7*f(x)*x^2-2*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A134581 8.50792 [x*(2*x^2-2*x+1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A134581 9.27128 [-2*(2*x-1)*(3*x^4-6*x^3+6*x^2-3*x+1)/(x^2-x+1)/(3*x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A134582 13.9283 [4*x*(x-3)/(x-1)^3 ogf] A134582 37.9218 [-2*(-4+x)/(x-1)/(x-3) lgdogf] A134582 7.14905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=32} ogf] A134582 7.48003 [(2*f(x)+9)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+12*x) ogf] A134593 12.8935 [(4*x^2-13*x-1)/(x-1)^3 ogf] A134593 20.6361 [-2*(-8-9*x+2*x^2)/(x-1)/(4*x^2-13*x-1) lgdogf] A134593 6.71764 [(1244*f(x)-14729)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+13*x+1) ogf] A134593 7.01227 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=41} ogf] A134594 13.2636 [(x+1)*(4*x-5)/(x-1)^3 ogf] A134594 21.4485 [-2*(-8+3*x+2*x^2)/(4*x-5)/(x-1)/(x+1) lgdogf] A134594 6.799 [(1772*f(x)-138873)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+x+5) ogf] A134594 7.09720 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=16,a(2)=29} ogf] A134630 18.7527 [-3*(93+165*x+x^3+41*x^2)/(x-1)/(x^3+30*x^2+87*x+32) lgdogf] A134630 4.91582 [{(68*n^2+278*n+284)*a(n+1)+(-661*n^2-4680*n-10323)*a(n+2)+(593*n^2+1777*n+1184)*a(n+3),a(0)=0,a(1)=0,a(2)=128} ogf] A134630 8.75909 [4*x^2*(x^3+30*x^2+87*x+32)/(x-1)^6 ogf] A134631 17.7109 [-12*(3+27*x+8*x^3+37*x^2)/(x-1)/(32*x^3+87*x^2+30*x+1) lgdogf] A134631 4.95926 [{(-593*n^2-2967*n-3564)*a(n+1)+(661*n^2+608*n+2179)*a(n+2)+(-68*n^2-266*n-260)*a(n+3),a(0)=0,a(1)=4,a(2)=144} ogf] A134631 9.12316 [4*x*(32*x^3+87*x^2+30*x+1)/(x-1)^6 ogf] A134632 13.4703 [-2*(44+331*x+5*x^4+109*x^3+411*x^2)/(x-1)/(5*x^4+66*x^3+156*x^2+70*x+3) lgdogf] A134632 8.40917 [2*x*(5*x^4+66*x^3+156*x^2+70*x+3)/(x-1)^6 ogf] A134633 14.1168 [-6*(16+107*x+x^4+37*x^3+139*x^2)/(x-1)/(3*x^4+70*x^3+156*x^2+66*x+5) lgdogf] A134633 8.44010 [2*x*(3*x^4+70*x^3+156*x^2+66*x+5)/(x-1)^6 ogf] A134635 5.95798 [{(8*n^2+28*n+24)*a(n+1)+(-6*n^2-24*n-20)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A134635 8.48412 [-4*f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x+8*f(x)*x^2-8*f(x)*x-4*x^2+2*f(x)+5*x-2 ogf] A134638 5.00510 [{(-2*n-10)*a(n+1)+(3*n+11)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=8,a(2)=28} ogf] A134638 5.3551 [(1631*f(x)+1353)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-x^3-5*f(x)*x+3*x^2+f(x)-3*x-1) ogf] A134638 9.94519 [(x^3-3*x^2+3*x+1)/(2*x-1)/(x-1)^3 ogf] A134654 12.6825 [-x^2*(x+2)/(2*x-1)/(2*x^2+2*x+1) ogf] A134654 14.6092 [-(1+8*x+8*x^3+26*x^2)/(2*x-1)/(x+2)/(2*x^2+2*x+1) lgdogf] A134654 6.45450 [{-a(n+4)+2*a(n+2)+4*a(n+1),a(0)=0,a(1)=0,a(2)=2,a(3)=1} ogf] A134654 8.50475 [f(x)*(4*f(x)*x^3+2*f(x)*x^2+x^3+2*x^2-f(x)) ogf] A134667 12.5569 [x*(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A134667 22.9017 [[x^5-x^3] ogf_with_Euler_transform] A134667 25.0427 [-2*x^3*(2+x^2)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A134667 6.46132 [{a(n+4)+a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=0} ogf] A134667 8.21625 [f(x)*(f(x)*x^4+f(x)*x^2-x^3+f(x)-x) ogf] A134668 16.9487 [-(-1-2*x^5+x^6-2*x^2-4*x^3+2*x^4)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A134668 17.5069 [[x^5-x^3-1] ogf_with_Euler_transform] A134668 7.33471 [f(x)*x^4+f(x)*x^2+x^3-x^2+f(x)+x-1 ogf] A134668 8.91449 [-(x-1)*(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A134683 14.9850 [(x^2-2*x-1)/(2*x-1)/(2*x+1) ogf] A134683 16.7507 [2*(1+3*x+4*x^2)/(2*x+1)/(2*x-1)/(x^2-2*x-1) lgdogf] A134683 8.74127 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=2,a(2)=3} ogf] A134683 9.79022 [(3*f(x)-1)*(4*f(x)*x^2-x^2-f(x)+2*x+1) ogf] A134693 12.3592 [{a(n+2)-2*a(n),a(0)=3,a(1)=9} ogf] A134693 17.5776 [2*f(x)*x^2-f(x)+9*x+3 ogf] A134693 19.2924 [-3*(3*x+1)/(2*x^2-1) ogf] A134693 20.9767 [1/2/(9+2*x)*(-3+(9+36*x+8*x^2)^(1/2)) revogf] A134693 24.2543 [-(3+4*x+6*x^2)/(3*x+1)/(2*x^2-1) lgdogf] A134702 4.65879 [(f(x)*x-f(x)+4*x+7)^2 ogf] A134704 6.88750 [-(3+96*x^7+40*x^8+20*x+2*x^5-65*x^4-76*x^3+88*x^6+9*x^2)/(x^2+x-1)/(4*x^3+x^2-x-1)/(10*x^4+12*x^3-x^2-3*x-3) lgdogf] A134704 8.33289 [-(10*x^4+12*x^3-x^2-3*x-3)/(x^2+x-1)/(4*x^3+x^2-x-1) ogf] A134719 6.04862 [(x+1)*(x^10-2*x^9+3*x^8-4*x^7+4*x^6-2*x^5+6*x^4-x^2-1)/(x^12+x^8+7*x^4-1) ogf] A134720 9.00701 [-2*x^3*(x^4-x^3+2*x^2+x+1)/(x^9+x^6+7*x^3-1) ogf] A134746 99.9999 Evaluated at exp(-Pi) 4-2*2^(1/2) A134747 99.9999 Evaluated at exp(-Pi) -1/8*exp(Pi)*2^(1/2)*(-3+2*2^(1/2)) A134752 14.2775 [-(21*x-5)/(9*x-1)/(x-1) ogf] A134752 14.6458 [-1/6*(-5-10*x+(25+16*x+64*x^2)^(1/2))/(3*x+7) revogf] A134752 16.0746 [-(29-90*x+189*x^2)/(21*x-5)/(x-1)/(9*x-1) lgdogf] A134752 7.06362 [-(200*f(x)-159)*(9*f(x)*x^2-10*f(x)*x+f(x)+21*x-5) ogf] A134752 7.98862 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=5,a(1)=29} ogf] A134757 19.5078 [-(-3-4*x+3*x^2)/(-1+x)/(-1+3*x)/(x+1) lgdogf] A134757 3.69333 [{(n+4)*a(n+4)+(-12-3*n)*a(n+3)+(-6-n)*a(n+2)+(6+3*n)*a(n+1),a(0)=1,a(1)=3,a(2)=11,a(3)=37} ogf] A134757 7.73654 [-27*f(x)^2*x^4+18*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-x^2+2*x-1 ogf] A134760 5.28277 [-4*f(x)^2*x^3+9*f(x)^2*x^2-6*f(x)^2*x+8*f(x)*x^2+f(x)^2-10*f(x)*x-4*x^2+2*f(x)+4*x-3 ogf] A134762 5.33773 [4*f(x)^2*x^3-9*f(x)^2*x^2+6*f(x)^2*x-16*f(x)*x^2-f(x)^2+20*f(x)*x+9*x^2-4*f(x)-2*x+5 ogf] A134770 5.82574 [-4*f(x)^2*x^3+9*f(x)^2*x^2-6*f(x)^2*x+24*f(x)*x^2+f(x)^2-30*f(x)*x-16*x^2+6*f(x)-4*x-7 ogf] A134771 4.58754 [-4*f(x)^2*x^4-8*f(x)^2*x^3-3*f(x)^2*x^2-24*f(x)*x^3+2*f(x)^2*x-24*f(x)*x^2+f(x)^2+6*f(x)*x-52*x^2+6*f(x)-32*x-7 ogf] A134804 10.4030 [-x*(x^6+3*x^5+6*x^4+x^3+6*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A134808 6.57486 [-x*(9*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-101)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A134812 14.3540 [x*(x^2+x-1)/(2*x-1)/(2*x^2+2*x+1) ogf] A134812 14.7784 [-(1-2*x-10*x^2+8*x^3+4*x^4)/(2*x-1)/(2*x^2+2*x+1)/(x^2+x-1) lgdogf] A134812 7.74859 [{-a(n+4)+2*a(n+2)+4*a(n+1),a(0)=0,a(1)=1,a(2)=-1,a(3)=1} ogf] A134812 8.66922 [-(f(x)-1)*(4*f(x)*x^3+2*f(x)*x^2-x^3-x^2-f(x)+x) ogf] A134813 13.1438 [-(x^2+x-1)/(2*x^2+2*x+1) ogf] A134813 5.62834 [3*(2*x+1)/(1+2*x^2+2*x)/(x^2+x-1) lgdogf] A134813 6.82960 [{a(n+3)+2*a(n+2)+2*a(n+1),a(0)=1,a(1)=-3,a(2)=3} ogf] A134813 7.49053 [(2*f(x)-5)*(2*f(x)*x^2+2*f(x)*x+x^2+f(x)+x-1) ogf] A134815 5.16905 [-(3*x^7+2*x^6+x^5+15*x^4+3*x^3-x^2+15*x-4)/(x^4+x-1)/(x^4+5*x-1) ogf] A134816 16.4329 [-(x+1)/(x^3+x^2-1) ogf] A134816 20.7822 [-(1+2*x+2*x^3+4*x^2)/(x+1)/(x^3+x^2-1) lgdogf] A134816 8.56606 [{a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A134816 9.0473 [-(f(x)-1)*(f(x)*x^3+f(x)*x^2-f(x)+x+1) ogf] A134823 5.28976 [-(x^5+11*x^4+x^3+x^2+21*x-4)/(x^2+x-1)/(3*x^4+7*x-1) ogf] A134824 15.5946 [-f(x)*x+2*x^2+f(x)-x ogf] A134824 18.6375 [x*(2*x-1)/(x-1) ogf] A134824 36.1144 [1/4+1/4*x-1/4*(1-6*x+x^2)^(1/2) revogf] A134824 69.9717 [-1/(2*x-1)/(x-1) lgdogf] A134824 9.20646 [{a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=-1} ogf] A134833 4.36977 [{(-4*n-8)*a(n+1)+(-4*n-6)*a(n+2)+(-n+1)*a(n+3)+a(n+4),a(0)=1,a(1)=-1,a(2)=1,a(3)=0} ogf] A134845 3.53140 [-(5560*x^6-5396*x^4+110*x^3-96*x^2-101*x-32)/(x-1)/(x+1)/(10*x^2-1) ogf] A134869 11.9684 [-(x^3-2*x^2+x+1)/(x-1)^3 ogf] A134869 23.8217 [-(4-2*x+x^2)/(x-1)/(x^3-2*x^2+x+1) lgdogf] A134869 6.20917 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=7,a(3)=11} ogf] A134869 6.82496 [(19*f(x)+26)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-2*x^2-f(x)+x+1) ogf] A134874 10.9470 [-1/(133*x^4+137*x-1) ogf] A134874 11.9727 [-(137+532*x^3)/(-1+137*x+133*x^4) lgdogf] A134874 2.0252 [133*f(x)^2*x^4-5142706*f(x)^2*x^3-532*f(x)*x^4+112614*f(x)^2*x^2+266*x^4-685*f(x)^2*x-112614*f(x)*x^2+f(x)^2+1096*f(x)*x-f(x)-548*x ogf] A134884 4.15699 [-(8844*x^4+8509*x^3-137*x^2-209*x+3)/(67*x^2+67*x+1)/(134*x^3+137*x-1) ogf] A134888 10.5085 [-453060*f(x)*x+f(x)-1 ogf] A134914 5.13124 [-(x^38+x^37-x^27-x^26-x^19-x^18-x^8-x-1)/(x-1)/(x^37-x^18-1) ogf] A134920 4.04501 [f(x)^2*x^4-4*f(x)^2*x^3+6*f(x)^2*x^2+f(x)*x^3-4*f(x)^2*x-3*f(x)*x^2+f(x)^2+3*f(x)*x-x^2-f(x) ogf] A134920 9.30940 [-(x-1+(5*x^2-2*x+1)^(1/2)*x+(5*x^2-2*x+1)^(1/2))/(5*x^2-2*x+1)^(1/2)/x/(x-1) lgdogf] A134927 14.6638 [(2*x-1)/(3*x^2+3*x-1) ogf] A134927 15.4046 [1/2/(-2+3*x)*(-1-3*x+(21*x^2+1-2*x)^(1/2)) revogf] A134927 17.0262 [-(-1-6*x+6*x^2)/(-1+2*x)/(3*x^2+3*x-1) lgdogf] A134927 7.58471 [(39*f(x)-38)*(3*f(x)*x^2+3*f(x)*x-f(x)-2*x+1) ogf] A134927 8.04720 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A134931 14.9873 [(2*x+1)/(3*x-1)/(x-1) ogf] A134931 15.3813 [-1/2*(-1-4*x+(1+16*x+4*x^2)^(1/2))/(-2+3*x) revogf] A134931 18.8970 [-6*(-1+x+x^2)/(x-1)/(3*x-1)/(2*x+1) lgdogf] A134931 7.66393 [(37*f(x)+107)*(3*f(x)*x^2-4*f(x)*x+f(x)-2*x-1) ogf] A134931 8.22472 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A134934 12.0737 [-(169*x^2+222*x+1)/(x-1)^3 ogf] A134934 17.5104 [-(225+782*x+169*x^2)/(x-1)/(169*x^2+222*x+1) lgdogf] A134934 6.27833 [(17178*f(x)-2411867)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+169*x^2-f(x)+222*x+1) ogf] A134934 6.76544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=225,a(2)=841} ogf] A134939 5.0744 [-(13904*f(x)-35969)*(2025*f(x)*x^4-1440*f(x)*x^3+342*f(x)*x^2+90*x^3-32*f(x)*x+f(x)-2*x) ogf] A134939 7.75736 [-2*(16-387*x+91125*x^5+2880*x^2-4050*x^3-32400*x^4)/(15*x-1)/(3*x-1)/(9*x-1)/(5*x-1)/(45*x^2-1) lgdogf] A134939 9.94583 [-2*x*(45*x^2-1)/(15*x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A134940 4.36213 [-(341584*f(x)-1681929)*(2025*f(x)*x^4-1440*f(x)*x^3+342*f(x)*x^2-135*x^3-32*f(x)*x+120*x^2+f(x)-17*x) ogf] A134940 6.28678 [-2*(-212+5679*x+273375*x^5-55080*x^2+241650*x^3-461700*x^4)/(15*x-1)/(3*x-1)/(9*x-1)/(5*x-1)/(135*x^2-120*x+17) lgdogf] A134940 8.12260 [x*(135*x^2-120*x+17)/(15*x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A134960 14.1192 [12585*x/(37755+(1425440025+12585*x)^(1/2))^2 revogf] A134960 15.0214 [453060*x/(x-1)^2 ogf] A134960 47.9152 [[2] ogf_with_Euler_transform] A134960 7.33605 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=453060} ogf] A134960 77.6555 [-2/(x-1) lgdogf] A134960 9.85781 [-f(x)*x^2+2*f(x)*x-f(x)+453060*x ogf] A134965 13.4056 [(4*x^2+9*x+3)/(x+1)/(x-1)^2 ogf] A134965 6.7028 [-(14144*f(x)+5393)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-9*x-3) ogf] A134965 7.17317 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=12,a(2)=19} ogf] A134967 13.5980 [-(x^3+x^2+x-1)/(x-1)/(x^2+1)/(x+1)^2 ogf] A134967 16.5196 [-2*(1+x^5+x^6+2*x^2-3*x^3+2*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) lgdogf] A134977 12.4279 [-(4-4*x+2*x^6-4*x^5+11*x^4-6*x^3+5*x^2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3-2*x^2+3*x+1) lgdogf] A134977 13.6392 [-(2*x^3-2*x^2+3*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A134977 7.35241 [-(714*f(x)-6395)*(f(x)*x^4-f(x)*x^3+2*x^3+f(x)*x-2*x^2-f(x)+3*x+1) ogf] A134987 13.3911 [-x^4/(2*x-1)/(x^4+2*x^2-2*x+1) ogf] A134987 6.52384 [2*f(x)*x^5-f(x)*x^4+4*f(x)*x^3+x^4-6*f(x)*x^2+4*f(x)*x-f(x) ogf] A134990 15.6288 [-(17*x^2+23*x+8)/(x-1)/(x+1)^2 ogf] A134990 21.1971 [-(15+35*x+29*x^2+17*x^3)/(x-1)/(x+1)/(17*x^2+23*x+8) lgdogf] A134990 8.00501 [-(4148*f(x)+4341)*(f(x)*x^3+f(x)*x^2-f(x)*x+17*x^2-f(x)+23*x+8) ogf] A134990 8.63698 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=8,a(1)=15,a(2)=10} ogf] A134999 5.39203 [-(98*x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-100)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A135019 11.2180 [-x*(2*x-1)/(x^3-2*x^2+x+1) ogf] A135019 14.7139 [-(-3+4*x+4*x^3-7*x^2)/(-1+2*x)/(x^3-2*x^2+x+1) lgdogf] A135019 5.70915 [-(11*f(x)-8)*(f(x)*x^3-2*f(x)*x^2+f(x)*x+2*x^2+f(x)-x) ogf] A135019 5.76059 [{-a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=-3} ogf] A135030 15.2226 [-x/(2*x^2+6*x-1) ogf] A135030 15.3917 [1/4/x*(-1-6*x+(1+12*x+44*x^2)^(1/2)) revogf] A135030 23.0876 [-2*(3+2*x)/(2*x^2-1+6*x) lgdogf] A135030 6.95353 [{-a(n+2)+6*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A135030 9.54638 [-2*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A135032 15.5517 [-x/(4*x^2+6*x-1) ogf] A135032 15.7300 [1/8/x*(-1-6*x+(1+12*x+52*x^2)^(1/2)) revogf] A135032 23.5950 [-2*(4*x+3)/(4*x^2-1+6*x) lgdogf] A135032 7.10388 [{-a(n+2)+6*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A135032 9.75279 [-4*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A135033 11.7190 [-(2+6*x+9*x^6+5*x^4+8*x^5+12*x^2+8*x^7)/(x-1)/(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A135033 15.6765 [-2*(4*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A135035 4.22607 [(-11+14*f(x))*(8*f(x)*x^4-16*f(x)*x^3+2*x^4+14*f(x)*x^2-2*x^3-6*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A135035 7.23776 [-(x-1)*(2*x^3-2*x+1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A135035 7.80020 [-(-3+18*x+8*x^5+64*x^3-40*x^4-48*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1)/(2*x^3-2*x+1) lgdogf] A135036 11.8044 [2*x*(x+3)/(x-1)^4 ogf] A135036 36.0105 [-(13+3*x)/(x+3)/(x-1) lgdogf] A135036 5.08137 [{(6+3*n)*a(n+3)+(-15-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=6,a(2)=26} ogf] A135036 5.56005 [-(88960*f(x)+347363)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-6*x) ogf] A135037 18.6121 [-3*(22+22*x+x^2)/(x-1)/(x^2+16*x+10) lgdogf] A135037 8.00282 [-6*x*(x^2+16*x+10)/(x-1)^5 ogf] A135038 12.0410 [-(365+905*x+263*x^2+3*x^3)/(x-1)/(x^3+65*x^2+155*x+35) lgdogf] A135038 3.34959 [{(2*n^2+17*n+33)*a(n+1)+(476*n^2+4426*n+10301)*a(n+2)+(-478*n^2-2043*n-2174)*a(n+3),a(0)=0,a(1)=840,a(2)=8760} ogf] A135038 6.05385 [24*x*(x^3+65*x^2+155*x+35)/(x-1)^6 ogf] A135042 12.9628 [(2*x^3+2*x^2+1)/(x-1)^2 ogf] A135042 17.2161 [2*(-1-2*x+x^3-3*x^2)/(x-1)/(2*x^3+2*x^2+1) lgdogf] A135042 6.42506 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=10} ogf] A135042 7.53962 [(13*f(x)-6)*(f(x)*x^2-2*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A135043 10.0502 [-2*(4+5*x+x^4+11*x^3+6*x^2)/(-1+x)/(x^2+x+1)/(x^2+7*x+1) lgdogf] A135043 4.79691 [-(87*f(x)+661)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-7*x^2+f(x)-x) ogf] A135043 9.00343 [x*(x^2+7*x+1)/(x^2+x+1)/(x-1)^2 ogf] A135050 5.3866 [-(138153600*f(x)-2675321107)*(-60*x^4+10*f(x)*x^2+27*x^3-11*f(x)*x+27*x^2+f(x)+17*x-2) ogf] A135050 9.76768 [(60*x^4-27*x^3-27*x^2-17*x+2)/(10*x-1)/(x-1) ogf] A135051 11.2471 [-(7*x^4+72*x^3+98*x^2+72*x+7)/(x+1)^2/(x-1)^3 ogf] A135052 7.85304 [f(x)^2*x^3-f(x)^2*x^2-2*f(x)*x+f(x)+x-1 ogf] A135055 8.96398 [-(-1+2*x+8*x^7+2*x^5+4*x^8+9*x^6+4*x^2+2*x^3-20*x^4)/(2*x-1)/(x+1)/(2*x^2+x+2)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A135055 9.63869 [-(2*x-1)*(x+1)*(2*x^2+x+2)/(x^5+x^4+x^3+x^2+x-1) ogf] A135056 8.00406 [-2*(-1-x+2*x^7+x^2-5*x^3-5*x^4-2*x^5+x^6)/(x-1)/(1+2*x+2*x^2)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A135056 8.33119 [x*(x-1)*(2*x^2+2*x+1)/(x^5+x^4+x^3+x^2+x-1) ogf] A135064 15.9151 [-(3*x^2-8*x-1)/(x^2-3*x+1) ogf] A135064 21.2793 [-(11-8*x+x^2)/(x^2-3*x+1)/(3*x^2-8*x-1) lgdogf] A135064 8.11056 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=11,a(2)=29} ogf] A135064 8.87892 [(25*f(x)+96)*(f(x)*x^2-3*f(x)*x+3*x^2+f(x)-8*x-1) ogf] A135092 11.1208 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=7} ogf] A135092 17.7933 [-2*f(x)*x+f(x)-5*x-1 ogf] A135092 21.2626 [-1/10-1/5*x+1/10*(1+24*x+4*x^2)^(1/2) revogf] A135092 21.6406 [-(5*x+1)/(2*x-1) ogf] A135092 43.7064 [-7/(5*x+1)/(2*x-1) lgdogf] A135094 12.4037 [x*(x+1)/(2*x-1)/(2*x^2-1) ogf] A135094 14.8216 [-(-3-4*x+8*x^3+10*x^2)/(-1+2*x)/(x+1)/(2*x^2-1) lgdogf] A135094 6.36947 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A135094 6.60757 [(3*f(x)+1)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-x) ogf] A135098 12.5014 [-2*(2*x^2-2*x-1)*(x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) lgdogf] A135098 12.5253 [-(x-1)*(x+1)/(2*x-1)/(2*x^2-1) ogf] A135098 6.31807 [-(34*f(x)+71)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A135098 6.37448 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A135138 11.4424 [-2*f(x)*x^3-5*f(x)*x^2-x^2+f(x) ogf] A135138 17.5823 [-x^2/(2*x+1)/(x^2+2*x-1) ogf] A135138 22.4190 [-2*x*(5+3*x)/(2*x+1)/(x^2+2*x-1) lgdogf] A135138 7.83559 [{-a(n+3)+5*a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A135139 12.1974 [-2*(x+1)*(x^3-5*x^2-3*x-1)/(2*x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A135139 12.6501 [(x^2-2*x-1)/(2*x+1)/(x^2+2*x-1) ogf] A135139 7.67079 [{a(n+3)-5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A135139 7.75327 [(7*f(x)-3)*(2*f(x)*x^3+5*f(x)*x^2-x^2-f(x)+2*x+1) ogf] A135153 14.3849 [-(x+1)*x^2/(x^4+2*x^2-1) ogf] A135153 8.45301 [-(f(x)+1)*(f(x)*x^4+2*f(x)*x^2+x^3+x^2-f(x)) ogf] A135158 12.5130 [-6*x*(-4+95*x^3-100*x^2+35*x)/(3*x-1)/(2*x-1)/(5*x-1)/(19*x^2-10*x+1) lgdogf] A135158 13.1805 [(19*x^2-10*x+1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A135158 7.56446 [{-a(n+3)+10*a(n+2)-31*a(n+1)+30*a(n),a(0)=-1,a(1)=0,a(2)=12} ogf] A135158 9.25438 [30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x-19*x^2-f(x)+10*x-1 ogf] A135159 11.8273 [-2*(2-20*x+165*x^4-180*x^3+83*x^2)/(3*x-1)/(2*x-1)/(5*x-1)/(11*x^2-6*x+1) lgdogf] A135159 13.4835 [-(11*x^2-6*x+1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A135159 7.30357 [-(9*f(x)+11)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x+11*x^2-f(x)-6*x+1) ogf] A135159 7.55542 [{-a(n+3)+10*a(n+2)-31*a(n+1)+30*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A135160 12.8865 [-6*(1-10*x+5*x^4-40*x^3+34*x^2)/(3*x-1)/(2*x-1)/(5*x-1)/(x^2-4*x+1) lgdogf] A135160 13.6942 [-(x^2-4*x+1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A135160 7.36494 [-(2*f(x)+13)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x+x^2-f(x)-4*x+1) ogf] A135160 7.55542 [{a(n+3)-10*a(n+2)+31*a(n+1)-30*a(n),a(0)=1,a(1)=6,a(2)=30} ogf] A135161 5.04493 [(3051*f(x)+42449)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2-187*x^3-17*f(x)*x+140*x^2+f(x)-31*x+2) ogf] A135161 6.73049 [-(3-124*x-58800*x^5+39270*x^6+1672*x^2-10636*x^3+35223*x^4)/(5*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(187*x^3-140*x^2+31*x-2) lgdogf] A135161 8.84279 [(187*x^3-140*x^2+31*x-2)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135162 5.15706 [-(2825*f(x)-18099)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2+23*x^3-17*f(x)*x-2*x^2+f(x)-x) ogf] A135162 8.41811 [-(19-248*x+9660*x^5+930*x^2+148*x^3-6941*x^4)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(23*x^2-2*x-1) lgdogf] A135162 9.67743 [-x*(23*x^2-2*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135163 5.29644 [(3051*f(x)+2003)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2-47*x^3-17*f(x)*x+22*x^2+f(x)-3*x) ogf] A135163 7.82289 [-(-29+512*x+19740*x^5-3646*x^2+13388*x^3-25469*x^4)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(47*x^2-22*x+3) lgdogf] A135163 9.55941 [x*(47*x^2-22*x+3)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135164 5.04493 [(2825*f(x)-55549)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2+163*x^3-17*f(x)*x-120*x^2+f(x)+27*x-2) ogf] A135164 6.73449 [-(7-164*x-50400*x^5+34230*x^6+1680*x^2-9476*x^3+30187*x^4)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(163*x^3-120*x^2+27*x-2) lgdogf] A135164 8.84279 [-(163*x^3-120*x^2+27*x-2)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135165 5.15706 [-(113*f(x)+2351)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2-103*x^3-17*f(x)*x+58*x^2+f(x)-7*x) ogf] A135165 7.66798 [-(-61+1208*x+43260*x^5-9294*x^2+34532*x^3-61981*x^4)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(103*x^2-58*x+7) lgdogf] A135165 9.44424 [x*(103*x^2-58*x+7)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135166 4.9384 [-(76275*f(x)+37027)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2+107*x^3-17*f(x)*x-84*x^2+f(x)+23*x-2) ogf] A135166 6.76175 [-(11-236*x-35280*x^5+22470*x^6+2056*x^2-9404*x^3+24431*x^4)/(7*x-1)/(3*x-1)/(5*x-1)/(2*x-1)/(107*x^3-84*x^2+23*x-2) lgdogf] A135166 8.97890 [-(107*x^3-84*x^2+23*x-2)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135167 5.23275 [(113*f(x)+853)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2+37*x^3-17*f(x)*x-60*x^2+f(x)+21*x-2) ogf] A135167 6.82107 [-(13-284*x-25200*x^5+7770*x^6+2472*x^2-10796*x^3+24313*x^4)/(7*x-1)/(3*x-1)/(5*x-1)/(2*x-1)/(37*x^3-60*x^2+21*x-2) lgdogf] A135167 9.08210 [-(37*x^3-60*x^2+21*x-2)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135168 4.42668 [-(76275*f(x)-974123)*(210*f(x)*x^4-247*f(x)*x^3+101*f(x)*x^2+247*x^3-17*f(x)*x-202*x^2+f(x)+51*x-4) ogf] A135168 6.02357 [-(17-404*x+51870*x^6-84840*x^5+57077*x^4-20156*x^3+3940*x^2)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(247*x^3-202*x^2+51*x-4) lgdogf] A135168 8.05754 [-(247*x^3-202*x^2+51*x-4)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135169 12.7789 [-(5*x^2+4*x+1)/(x-1)/(x^2+1) ogf] A135169 18.6418 [-(5+8*x+5*x^4+8*x^3-6*x^2)/(x-1)/(x^2+1)/(5*x^2+4*x+1) lgdogf] A135169 6.60602 [-(17*f(x)+319)*(f(x)*x^3-f(x)*x^2+f(x)*x+5*x^2-f(x)+4*x+1) ogf] A135169 6.95992 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=9} ogf] A135203 10.5039 [-(2*x^49-2*x^48+x^24-x^23+2*x^8-2*x^7+2*x+1)/(x-1) ogf] A135211 10.1522 [-(-x^10-x^7-x^6-x^4-x^3-1)/(x^12-1) ogf_with_Euler_transform] A135211 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/4*Pi)/Pi^(1/2)*3^(1/2)*GAMMA(2/3)*GAMMA(3/4)*(1+3^(1/2))/GAMMA(11/12) A135218 17.4563 [-(x+1+10*x^2)/(2*x+1)/(-1+x) lgdegf] A135231 7.70734 [-(f(x)+7)*(2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A135246 12.1459 [-(6*f(x)-1)*(f(x)*x^4+2*f(x)*x^2+x^3+3*x^2-f(x)+3*x+1) ogf] A135246 19.6203 [-(x+1)^3/(x^4+2*x^2-1) ogf] A135247 19.1629 [x^2/(3*x-1)/(2*x^2-1) ogf] A135247 7.14252 [{a(n+3)-3*a(n+2)-2*a(n+1)+6*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A135247 9.69971 [-6*f(x)*x^3+2*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A135248 18.8502 [-x^3/(2*x^4-4*x^2+4*x-1) ogf] A135248 6.38727 [{a(n+4)-4*a(n+3)+4*a(n+2)-2*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A135248 9.54147 [2*f(x)*x^4-4*f(x)*x^2+x^3+4*f(x)*x-f(x) ogf] A135254 10.7490 [x^2*(2*x-1)/(3*x-1)/(3*x^2-3*x+1) ogf] A135254 11.9959 [-(-2+3*x)*(12*x^2-9*x+2)/(3*x-1)/(-1+2*x)/(3*x^2-3*x+1) lgdogf] A135254 5.08733 [{a(n+4)-6*a(n+3)+12*a(n+2)-9*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A135254 6.40809 [f(x)*(9*f(x)*x^3-12*f(x)*x^2-2*x^3+6*f(x)*x+x^2-f(x)) ogf] A135258 12.4969 [-x*(x+1)/(2*x+1)/(x-1)/(x^2+x+1) ogf] A135258 13.0719 [-(2*x^2+2*x-1)*(3*x^2+2*x+1)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A135258 6.41734 [-(f(x)-1)*(2*f(x)*x^4+f(x)*x^3-2*f(x)*x+x^2-f(x)+x) ogf] A135259 10.3147 [-(-2+6*x+12*x^5-27*x^4+16*x^3-9*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A135259 11.8532 [x*(3*x-1)*(x-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A135259 6.64187 [(5*f(x)+26)*(2*f(x)*x^4-f(x)*x^3-3*x^3+2*f(x)*x+4*x^2-f(x)-x) ogf] A135261 10.8809 [-(-3+11*x+6*x^5-22*x^4+15*x^3-15*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A135261 11.8794 [-(3*x-1)*(x-1)^2/(2*x-1)/(x+1)/(x^2-x+1) ogf] A135261 6.71868 [(29*f(x)+436)*(2*f(x)*x^4-f(x)*x^3+3*x^3+2*f(x)*x-7*x^2-f(x)+5*x-1) ogf] A135262 11.7827 [-2*(2+7*x+15*x^2+40*x^3+35*x^4)/(10*x^3-1)/(7*x^2+4*x+1) lgdogf] A135262 13.4688 [-(7*x^2+4*x+1)/(10*x^3-1) ogf] A135262 8.63381 [(20*f(x)-49)*(10*f(x)*x^3+7*x^2-f(x)+4*x+1) ogf] A135262 8.74595 [{a(n+3)-10*a(n),a(0)=1,a(1)=4,a(2)=7} ogf] A135263 10.2899 [-2*(2*x^2+x+1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A135263 5.41104 [(1186*f(x)+507)*(3*f(x)*x^4-f(x)*x^3+3*f(x)*x+4*x^2-f(x)+2*x+2) ogf] A135263 8.65924 [-(4+4*x-9*x^2+10*x^3+7*x^4+12*x^5)/(-1+3*x)/(x+1)/(x^2-x+1)/(2*x^2+x+1) lgdogf] A135264 10.5537 [-3*(2*x^2+x+1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A135264 5.50235 [(2372*f(x)+1521)*(3*f(x)*x^4-f(x)*x^3+3*f(x)*x+6*x^2-f(x)+3*x+3) ogf] A135264 8.88592 [-(4+4*x+7*x^4+10*x^3+12*x^5-9*x^2)/(-1+3*x)/(x+1)/(x^2-x+1)/(2*x^2+x+1) lgdogf] A135265 17.3911 [-(2*x^3+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A135265 20.2641 [-(1+2*x^6+3*x^2)/(x-1)/(x+1)/(2*x^3+1)/(x^2-x+1) lgdogf] A135265 7.99430 [{-a(n+4)+a(n+3)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A135265 9.17864 [(14*f(x)-9)*(f(x)*x^4-f(x)*x^3+2*x^3+f(x)*x-f(x)+1) ogf] A135266 7.28281 [-(-5+2*x+14*x^2-14*x^3+5*x^4-4*x^5+18*x^6)/(x-1)/(-1+3*x)/(x+1)/(x^2-x+1)/(2*x^2+x+1) lgdogf] A135266 7.76312 [x*(2*x^2+x+1)/(x-1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A135271 8.02070 [7/(2+x) lgdogf] A135272 11.3000 [8/(2+x) lgdogf] A135273 13.4866 [9/(2+x) lgdogf] A135276 11.4642 [x*(x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A135276 20.8232 [-(x-3)*(3*x^2+2*x+1)/(x-1)/(x+1)/(x^2-2*x-1) lgdogf] A135289 14.9869 [10/(2+x) lgdogf] A135290 18.3262 [11/(2+x) lgdogf] A135295 10.3532 [2*(-1+x+288*x^11-956*x^10+1070*x^9-405*x^8)/(x-1)/(72*x^11-160*x^10+90*x^9-x+1) lgdogf] A135295 9.42909 [-x*(72*x^11-160*x^10+90*x^9-x+1)/(x-1)^3 ogf] A135297 29.5203 [-(-1+2*x^3+9*x^2)/(3+x)/(x+1)/(x^2-x+1) lgdogf] A135300 13.0111 [-(7+17*x+x^3-x^2)/(x-1)/(x^4-3*x^3+4*x^2+3*x+1) lgdogf] A135300 4.19961 [(121+128*f(x))*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+3*x^3-4*f(x)*x-4*x^2+f(x)-3*x-1) ogf] A135300 7.36167 [(x^4-3*x^3+4*x^2+3*x+1)/(x-1)^4 ogf] A135301 11.0393 [-(5+7*x+3*x^5+17*x^4-2*x^3+34*x^2)/(x-1)/(x+1)/(x^4+4*x^3-2*x^2+4*x+1) lgdogf] A135301 7.22917 [(x^4+4*x^3-2*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A135307 7.43338 [x*f(x)^3-f(x)^2*x-f(x)^2+2*f(x)*x+f(x)-x ogf] A135310 4.87432 [-f(x)^2*x^4-5*f(x)^2*x^2+4*f(x)^2*x+2*f(x)*x^2-f(x)^2-4*f(x)*x+2*f(x)-1 ogf] A135312 31.7825 [exp(x)*(x*exp(-x)+x+1) lgdegf] A135318 10.0748 [-(1+2*x+2*x^6+5*x^4+8*x^3+4*x^2)/(x^2+1)/(2*x^2-1)/(x^3+x+1) lgdogf] A135318 10.8621 [-(x^3+x+1)/(2*x^2-1)/(x^2+1) ogf] A135318 8.43745 [-(8*f(x)-3)*(2*f(x)*x^4+f(x)*x^2+x^3-f(x)+x+1) ogf] A135332 5.35392 [(x^6-8*x^5-3*x^4-32*x^3+3*x^2-8*x-1)/(x+1)^4/(x-1)^5 ogf] A135332 7.31084 [-(-9-11*x+3*x^7-17*x^5-31*x^6-23*x^3-235*x^4-157*x^2)/(x-1)/(x+1)/(x^6-8*x^5-3*x^4-32*x^3+3*x^2-8*x-1) lgdogf] A135334 4.30616 [f(x)^2*x^3-2*f(x)^2*x^2-2*f(x)*x^3+2*f(x)^2*x+2*f(x)*x^2+x^3-2*f(x)*x-f(x)+x+1 ogf] A135335 3.55598 [-f(x)^2*x^4+2*f(x)^2*x^3-4*f(x)^2*x^2-2*f(x)*x^3+3*f(x)^2*x+4*f(x)*x^2-f(x)^2-6*f(x)*x-x^2+3*f(x)+2*x-2 ogf] A135336 5.44938 [f(x)^2*x^4-3*f(x)^2*x^2+2*f(x)^2*x+2*f(x)*x^2-f(x)*x-f(x)+1 ogf] A135337 4.28249 [f(x)^2*x^3+2*f(x)^2*x^2-2*f(x)*x^3-3*f(x)^2*x-2*f(x)*x^2+x^3+f(x)^2+7*f(x)*x-3*f(x)-3*x+2 ogf] A135339 6.91028 [-f(x)^2*x^2-2*f(x)^2*x+f(x)*x^2-x^3+4*f(x)*x-2*x^2+f(x)-3*x-1 ogf] A135343 12.5517 [-(4*x^3-x+1)/(4*x-1)/(x+1)/(x^2-x+1) ogf] A135343 6.48858 [(7709*f(x)+34492)*(4*f(x)*x^4-f(x)*x^3+4*x^3+4*f(x)*x-f(x)-x+1) ogf] A135344 11.0909 [(x^3+2*x^2+2*x-1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A135344 6.2217 [-(4*f(x)-7)*(3*f(x)*x^4-f(x)*x^3-x^3+3*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A135345 15.7841 [(3*x^2-1)/(4*x-1)/(x+1)/(x^2-x+1) ogf] A135345 7.49746 [-(199511*f(x)-73816)*(4*f(x)*x^4-f(x)*x^3+4*f(x)*x-3*x^2-f(x)+1) ogf] A135348 12.5522 [-(-x^4+x^3+2*x^2-x-2)/(-x+1) ogf_with_Euler_transform] A135350 10.5924 [-(3+4*x-7*x^2+6*x^3+4*x^4+8*x^5)/(2*x-1)/(x+1)/(x^2-x+1)/(2*x^2+x+1) lgdogf] A135350 11.2426 [-x*(2*x^2+x+1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A135350 6.08975 [(599*f(x)+1554)*(2*f(x)*x^4-f(x)*x^3+2*x^3+2*f(x)*x+x^2-f(x)+x) ogf] A135351 10.3020 [-2*x*(-3+x^3-8*x^2+9*x)/(x-1)/(2*x-1)/(x+1)/(x^2-4*x+2) lgdogf] A135351 4.41135 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=0,a(1)=2,a(2)=0,a(3)=3} ogf] A135351 8.15541 [(2*f(x)+1)*(2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+4*x^2+f(x)-2*x) ogf] A135351 8.82271 [x*(x^2-4*x+2)/(x-1)/(2*x-1)/(x+1) ogf] A135352 12.1924 [-(2*x^5+x^4+2*x^3+2*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A135353 10.4779 [-(18*x^2-9*x+2)/(2*x-1)/(x^2-x+1) ogf] A135353 5.41357 [(10937*f(x)-43474)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)-9*x+2) ogf] A135353 5.80026 [{-a(n+3)+3*a(n+2)-3*a(n+1)+2*a(n),a(0)=2,a(1)=-3,a(2)=3} ogf] A135353 9.99102 [-3*(-1+8*x-5*x^2-12*x^3+12*x^4)/(2*x-1)/(x^2-x+1)/(18*x^2-9*x+2) lgdogf] A135358 6.48060 [(7*x^10+6*x^9+7*x^8+6*x^7+7*x^6+6*x^5+7*x^4+6*x^3+7*x^2+6*x+6)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A135360 11.9027 [(x-1)*(x^2-x+1)/(2*x-1)/(2*x^2-2*x+1) ogf] A135360 6.22186 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A135360 7.39897 [f(x)*(4*f(x)*x^3-6*f(x)*x^2-x^3+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A135364 12.7133 [-(-2+4*x-7*x^2+x^3)/(x-1)/(x+1)/(x^3-2*x^2+3*x-1) lgdogf] A135364 4.82136 [{a(n+4)-3*a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=7} ogf] A135364 5.17414 [-(f(x)-3)*(f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A135364 9.22348 [-(x+1)*(x-1)^2/(x^3-2*x^2+3*x-1) ogf] A135365 13.3531 [(15*x^3-1)/(3*x-1)/(x+1)/(x^2-x+1) ogf] A135365 6.19583 [{a(n+4)-3*a(n+3)+a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=11} ogf] A135365 6.85379 [(148*f(x)+2355)*(3*f(x)*x^4-f(x)*x^3-15*x^3+3*f(x)*x-f(x)+1) ogf] A135370 12.4411 [-(-3-15*x+x^4-8*x^3+x^5-12*x^2)/(x-1)/(x+1)/(x^4-4*x^2-2*x-1) lgdogf] A135370 9.11144 [(x^4-4*x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A135385 9.96054 [[2] ogf_with_Euler_transform] A135389 4.28382 [{(-16*n^2-80*n-100)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=2,a(1)=24} ogf] A135389 9.91624 [2*hypergeom([3/2,3/2],[3],16*x) ogf] A135391 7.60881 [(x^7+21*x^6+22*x^5+22*x^4+22*x^3+22*x^2+22*x+21)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A135399 11.4922 [-2*x*(-14-27*x+21*x^3)/(3*x-1)/(2*x+1)/(x+1)/(-3+7*x^2) lgdogf] A135399 12.1103 [(7*x^2-3)/(3*x-1)/(2*x+1)/(x+1) ogf] A135399 6.82815 [{a(n+3)-7*a(n+1)-6*a(n),a(0)=3,a(1)=0,a(2)=14} ogf] A135399 7.42323 [-(23700*f(x)+46549)*(6*f(x)*x^3+7*f(x)*x^2-7*x^2-f(x)+3) ogf] A135400 11.6796 [-(17+114*x+4*x^3+105*x^2)/(x-1)/(2*x^3+33*x^2+12*x+1) lgdogf] A135400 7.10812 [-(2*x^3+33*x^2+12*x+1)/(x-1)^5 ogf] A135403 15.5095 [(111109*x+1)/(x-1)^2 ogf] A135403 17.3152 [-1/2*(-1-2*x+(1+444440*x)^(1/2))/(-111109+x) revogf] A135403 20.0492 [-(111111+111109*x)/(111109*x+1)/(-1+x) lgdogf] A135403 7.38546 [(222220*f(x)+12345432101)*(f(x)*x^2-2*f(x)*x+f(x)-111109*x-1) ogf] A135403 8.91349 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=111111} ogf] A135404 6.30377 [{(48*n^2+160*n+132)*a(n+1)+(-3*n^2-17*n-24)*a(n+2),a(0)=1,a(1)=2} ogf] A135405 11.5298 [-x*(3*x^3-8*x^2+6*x+1)/(x+1)/(x-1)^3 ogf] A135405 14.8162 [-(8-10*x^3+3*x^4+11*x^2)/(x-1)/(x+1)/(3*x^3-8*x^2+6*x+1) lgdogf] A135405 6.47443 [(64504*f(x)-4991)*(f(x)*x^4-2*f(x)*x^3+3*x^4-8*x^3+2*f(x)*x+6*x^2-f(x)+x) ogf] A135422 8.6862 [-(2*f(x)*x-f(x)-x+1)^3 ogf] A135423 12.9299 [-(7*x-3)/(9*x-1)/(x-1) ogf] A135423 13.2500 [-1/2*(-3-10*x+(9+32*x+64*x^2)^(1/2))/(7+9*x) revogf] A135423 14.9487 [-(23-54*x+63*x^2)/(x-1)/(7*x-3)/(9*x-1) lgdogf] A135423 6.46496 [-(176*f(x)+1)*(9*f(x)*x^2-10*f(x)*x+f(x)+7*x-3) ogf] A135423 7.08068 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=3,a(1)=23} ogf] A135431 12.3118 [x*(x+1)/(x^4-x^3-x^2-x+1) ogf] A135431 15.4776 [-(-2-2*x+2*x^3-4*x^2+3*x^4)/(x+1)/(x^4-x^3-x^2-x+1) lgdogf] A135431 7.7696 [-f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+x ogf] A135432 7.80319 [-2*(1+x-x^6-2*x^5+5*x^3+2*x^7-x^2)/(x-1)/(1+x)/(1+2*x+2*x^2)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A135432 8.02902 [-x*(x-1)*(2*x^2+2*x+1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A135435 16.0862 [(3*x^4-7)/(x^7+x^4-1) ogf] A135435 18.9862 [-x^3*(-16-49*x^3+9*x^7)/(x^7+x^4-1)/(-7+3*x^4) lgdogf] A135438 8.04981 [{(-2*n^3-15*n^2-37*n-30)*a(n+1)+6*a(n+2),a(0)=1,a(1)=1} ogf] A135440 10.3755 [(9*f(x)+26)*(2*f(x)*x^2+f(x)*x-f(x)+5*x-1) ogf] A135440 10.8817 [{a(n+2)-a(n+1)-2*a(n),a(0)=-1,a(1)=4} ogf] A135440 19.8288 [-(5*x-1)/(2*x-1)/(x+1) ogf] A135440 22.6037 [-1/2*(x-1+(1+18*x+9*x^2)^(1/2))/(5+2*x) revogf] A135440 23.1986 [-2*(2-2*x+5*x^2)/(2*x-1)/(5*x-1)/(x+1) lgdogf] A135446 10.5235 [-(-1+12*x-21*x^2+8*x^3+6*x^4)/(-1+3*x)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A135446 10.8086 [-(x+1)*(3*x-1)/(2*x-1)/(x^2-x+1) ogf] A135446 5.49438 [-(615*f(x)-1247)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+2*x-1) ogf] A135446 5.88684 [{-a(n+3)+3*a(n+2)-3*a(n+1)+2*a(n),a(0)=-1,a(1)=-1,a(2)=3} ogf] A135447 11.9114 [-(-2-4*x+12*x^3+6*x^5-5*x^4+5*x^6-14*x^2)/(5*x^3+3*x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A135447 5.33570 [{-a(n+4)+a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A135447 5.69676 [-f(x)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-5*x^3-f(x)*x-3*x^2+f(x)-x-1) ogf] A135447 9.83987 [(5*x^3+3*x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A135448 13.6930 [(2*x^4-4*x^3-3*x^2-5*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A135448 9.30596 [-(-5-6*x-9*x^6-5*x^4+8*x^3-20*x^5-12*x^2-8*x^7+2*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4-4*x^3-3*x^2-5*x-1) lgdogf] A135449 13.6930 [-(5*x^4+3*x^3-7*x^2+9*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A135449 9.21648 [-(9-14*x-21*x^6+5*x^4+20*x^3+36*x^5+9*x^2+6*x^7+5*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+3*x^3-7*x^2+9*x+1) lgdogf] A135450 15.0493 [-(4-3*x^2+16*x^3)/(-1+4*x)/(x+1)/(x^2-x+1) lgdogf] A135450 15.4959 [-x^3/(4*x-1)/(x+1)/(x^2-x+1) ogf] A135450 7.84357 [-4*f(x)*x^4+f(x)*x^3-x^3-4*f(x)*x+f(x) ogf] A135453 12.9031 [-12*x*(x+1)/(x-1)^3 ogf] A135453 36.0105 [[4-x] ogf_with_Euler_transform] A135453 37.5071 [-2*(x+2)/(x-1)/(x+1) lgdogf] A135453 6.73701 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=48} ogf] A135453 6.98424 [(f(x)+3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+12*x) ogf] A135454 5.74546 [(6+24*x+8*x^10-26*x^7+48*x^2+64*x^3+60*x^4+42*x^5-3*x^9+2*x^6-27*x^8)/(x-1)/(x^2+x+1)/(x^8-4*x^6-6*x^5-7*x^4-7*x^3-6*x^2-3*x-1) lgdogf] A135454 6.00579 [-(x^2+x+1)*(x^8-4*x^6-6*x^5-7*x^4-7*x^3-6*x^2-3*x-1)/(x-1)^2 ogf] A135456 5.44431 [-5040/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A135463 3.98254 [-(4473837306492991910*x^16+4921221037142291101*x^15-50)/(49659594102072210201*x^16-4921221037142291101*x^15+500*x^2-550*x+50) ogf] A135463 5.80632 [-(91*f(x)+30)*(f(x)-1)*(10*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A135466 11.7448 [-(50*x^2-39*x+8)/(2*x-1)^3 ogf] A135466 18.0844 [-(9-56*x+100*x^2)/(2*x-1)/(50*x^2-39*x+8) lgdogf] A135466 6.31651 [(312*f(x)-3511)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+50*x^2-f(x)-39*x+8) ogf] A135466 6.65190 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=8,a(1)=9,a(2)=8} ogf] A135467 9.82212 [-(4*x^7+2*x^6+6*x^5+2*x^4+2*x^2+6*x+2)/(-x^8+1) ogf_with_Euler_transform] A135467 99.9999 Evaluated at exp(-Pi) 1/64*exp(3/4*Pi)*2^(3/4)*GAMMA(5/8)^4*(2+2^(1/2))/Pi/GAMMA(7/8)^4 A135489 7.96576 [8-48*x-36*x^2+(-2+32*x-144*x^3-60*x^2)*f(x)+(23*x^2-4*x+8*x^3-144*x^4)*f(x)^2 lgdogf] A135491 11.8412 [-(x+1)*(x^2+1)/(x^3+x^2+x-1) ogf] A135491 19.7322 [-(x^2+2)*(x+1)^2/(x^2+x+1)/(x^3+x^2+x-1) lgdogf] A135491 6.18972 [{-a(n+4)+a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A135491 6.8659 [(f(x)-1)*(f(x)*x^3+f(x)*x^2+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A135492 10.8495 [-(2+4*x+x^6+3*x^4+4*x^3+2*x^5+6*x^2)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x-1) lgdogf] A135492 5.82751 [f(x)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x+2*x^2-f(x)+2*x+2) ogf] A135492 9.76299 [-2*(x+1)*(x^2+1)/(x^4+x^3+x^2+x-1) ogf] A135493 4.62843 [f(x)^2*(f(x)*x^5+f(x)*x^4+f(x)*x^3+2*x^4+f(x)*x^2+2*x^3+f(x)*x+2*x^2-f(x)+2*x+2) ogf] A135493 7.71406 [-2*(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x-1) ogf] A135493 7.99483 [-(2+4*x+4*x^5+5*x^4+8*x^3+3*x^6+2*x^7+x^8+6*x^2)/(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A135497 14.8143 [-3*(39+63*x+x^3+17*x^2)/(-1+x)/(x^3+12*x^2+33*x+14) lgdogf] A135497 4.16646 [{(2*n^2+11*n+14)*a(n+1)+(11*n^2+105*n+234)*a(n+2)+(-13*n^2-41*n-28)*a(n+3),a(0)=0,a(1)=0,a(2)=28} ogf] A135497 7.12582 [2*x^2*(x^3+12*x^2+33*x+14)/(x-1)^6 ogf] A135503 14.3160 [3*x^2/(x-1)^4 ogf] A135503 57.9888 [[4] ogf_with_Euler_transform] A135503 7.15799 [{n*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A135503 7.66411 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+4*f(x)*x+3*x^2-f(x) ogf] A135503 93.9090 [-4/(x-1) lgdogf] A135509 5.11454 [-x*(x+1)*(x^2+4*x+1)*(x^2+13*x+1)/(x-1)^7 ogf] A135509 8.43869 [-(25+250*x+59*x^4+356*x^3+2*x^5+568*x^2)/(x-1)/(x+1)/(x^2+4*x+1)/(x^2+13*x+1) lgdogf] A135511 13.5794 [-(2*x^5+3*x^4+x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A135511 7.54014 [-(2+6*x+10*x^6+10*x^4+12*x^3+6*x^5+3*x^2+12*x^7+3*x^8+6*x^9+2*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^5+3*x^4+x^3+3*x^2+2*x+1) lgdogf] A135512 3.98882 [-16*f(x)^2*x^4+8*f(x)^2*x^3-f(x)^2*x^2-56*f(x)*x^3+38*f(x)*x^2-16*x^3-10*f(x)*x-13*x^2+f(x)+10*x-2 ogf] A135513 9.44089 [-(2*x^7+2*x^6+6*x^5+3*x^4+8*x^3+3*x^2+4*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A135518 13.1036 [-1/30*(-1-16*x+(196*x^2+1+32*x)^(1/2))/x revogf] A135518 15.2993 [1/(15*x-1)/(x-1) ogf] A135518 19.4127 [-2*(-8+15*x)/(15*x-1)/(x-1) lgdogf] A135518 6.29973 [{-a(n+2)+16*a(n+1)-15*a(n),a(0)=1,a(1)=16} ogf] A135518 8.01161 [(113*f(x)+15)*(15*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A135519 12.8911 [-1/28*(-1-15*x+(1+30*x+169*x^2)^(1/2))/x revogf] A135519 15.0565 [1/(14*x-1)/(x-1) ogf] A135519 19.8325 [-(-15+28*x)/(14*x-1)/(x-1) lgdogf] A135519 6.12765 [(197*f(x)+28)*(14*f(x)*x^2-15*f(x)*x+f(x)-1) ogf] A135519 6.19973 [{-a(n+2)+15*a(n+1)-14*a(n),a(0)=1,a(1)=15} ogf] A135520 10.9387 [{-a(n+2)+4*a(n),a(0)=2,a(1)=1} ogf] A135520 11.0680 [-1/2*arcsinh(1/15*15^(1/2))+1/2*arcsinh(1/15*15^(1/2)*(1+4*x)) revegf] A135520 17.0751 [-(x+2)/(2*x-1)/(2*x+1) ogf] A135520 18.5464 [-(1+16*x+4*x^2)/(1+2*x)/(2*x-1)/(x+2) lgdogf] A135520 9.86026 [(136*f(x)-271)*(4*f(x)*x^2-f(x)+x+2) ogf] A135522 14.5528 [(x-2)/(x+1)/(3*x-1) ogf] A135522 18.3384 [-3*(-1-4*x+x^2)/(x-2)/(3*x-1)/(x+1) lgdogf] A135522 19.4499 [(-1-x+(1+x+4*x^2)^(1/2))/(-1+3*x) revogf] A135522 7.52733 [(38*f(x)-67)*(3*f(x)*x^2+2*f(x)*x-f(x)-x+2) ogf] A135522 7.98632 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=2,a(1)=3} ogf] A135526 10.1774 [(-6-48*x+27*x^4-89*x^3+21*x^5-105*x^2)/(x-1)/(7*x^5+31*x^4+35*x^3+22*x^2+4*x+1) lgdogf] A135526 10.2416 [(7*x^5+31*x^4+35*x^3+22*x^2+4*x+1)/(x-1)^2 ogf] A135528 14.1375 [f(x)*x^2-x^2-f(x)+x+1 ogf] A135528 15.2916 [(x^2-x-1)/(x-1)/(x+1) ogf] A135528 33.5406 [(1+x^2)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A135528 9.02757 [{a(n+3)-a(n+1),a(0)=1,a(1)=1,a(2)=0} ogf] A135530 10.1893 [{-a(n+2)+2*a(n),a(0)=2,a(1)=1} ogf] A135530 14.4914 [-2*f(x)*x^2+f(x)-x-2 ogf] A135530 15.9052 [-(x+2)/(2*x^2-1) ogf] A135530 21.2486 [(-1+(1+x+2*x^2)^(1/2))/(1+2*x) revogf] A135530 21.2486 [-(1+8*x+2*x^2)/(x+2)/(2*x^2-1) lgdogf] A135532 10.1436 [{a(n+2)-2*a(n+1)-a(n),a(0)=-1,a(1)=3} ogf] A135532 18.4840 [-(5*x-1)/(x^2+2*x-1) ogf] A135532 20.5345 [-1/2*(-1+2*x+(1+16*x+8*x^2)^(1/2))/(5+x) revogf] A135532 24.1582 [-(3-2*x+5*x^2)/(5*x-1)/(x^2+2*x-1) lgdogf] A135532 9.67182 [(4*f(x)+13)*(f(x)*x^2+2*f(x)*x-f(x)+5*x-1) ogf] A135536 13.6624 [-1/4*2^(1/2)*(ln(1+2^(1/2))-arcsinh(4/7*x+1)) revegf] A135536 14.9448 [-7*(2*x+1)/(8*x^2-1) ogf] A135536 18.0825 [-2*(1+8*x+8*x^2)/(2*x+1)/(8*x^2-1) lgdogf] A135536 9.09682 [(6*f(x)-35)*(8*f(x)*x^2-f(x)+14*x+7) ogf] A135536 9.65665 [{-a(n+2)+8*a(n),a(0)=7,a(1)=14} ogf] A135537 12.4418 [-(5-6*x+4*x^4-4*x^3+19*x^2)/(-1+x)/(x^2+1)/(4*x^2-2*x+7) lgdogf] A135537 12.7789 [-(4*x^2-2*x+7)/(x-1)/(x^2+1) ogf] A135537 6.71992 [(199*f(x)-3921)*(f(x)*x^3-f(x)*x^2+f(x)*x+4*x^2-f(x)-2*x+7) ogf] A135537 6.95992 [{-a(n+3)+a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=5,a(2)=2} ogf] A135541 12.4037 [-x*(3*x+2)/(2*x-1)/(x^2+1) ogf] A135541 15.1438 [-(7-4*x+12*x^3+9*x^2)/(3*x+2)/(-1+2*x)/(1+x^2) lgdogf] A135541 6.09491 [-(711*f(x)+2675)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x+3*x^2-f(x)+2*x) ogf] A135541 6.36947 [{-a(n+3)+2*a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A135556 11.2754 [-(4+28*x+x^5+37*x^3+7*x^4+31*x^2)/(x-1)/(x+1)/(x^4+3*x^3+10*x^2+3*x+1) lgdogf] A135556 8.56044 [-(x^4+3*x^3+10*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A135574 6.88480 [-(1+22*x+32*x^7+36*x^8+84*x^5+29*x^6+36*x^3+12*x^2)/(2*x+1)/(2*x-1)/(x^2+x+1)/(x^2-x+1)/(3*x^3+2*x^2+x+3) lgdogf] A135574 9.01181 [-x^2*(3*x^3+2*x^2+x+3)/(2*x-1)/(2*x+1)/(x^2+x+1)/(x^2-x+1) ogf] A135575 8.83571 [x*(3*x^3+2*x^2+x+3)/(2*x+1)/(x^2+x+1)/(x^2-x+1) ogf] A135575 8.85341 [-(5+2*x+12*x^5+12*x^7+15*x^6+6*x^2+4*x^3+34*x^4)/(1+2*x)/(x^2+x+1)/(x^2-x+1)/(3*x^3+2*x^2+x+3) lgdogf] A135576 4.45936 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=1,a(1)=7,a(2)=21,a(3)=73} ogf] A135576 5.01679 [(9*f(x)+481)*(8*f(x)*x^3-14*f(x)*x^2+16*x^3+7*f(x)*x-14*x^2-f(x)+1) ogf] A135576 7.96584 [-(7-56*x+170*x^2-224*x^3+112*x^4)/(x-1)/(2*x-1)/(-1+4*x)/(16*x^3-14*x^2+1) lgdogf] A135576 8.85315 [-(16*x^3-14*x^2+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A135577 2.59935 [{-a(n+4)+111*a(n+3)-1110*a(n+2)+1000*a(n+1),a(0)=1,a(1)=111,a(2)=10101,a(3)=1001001} ogf] A135577 2.82214 [(977801*f(x)+1511041)*(1000*f(x)*x^3-1110*f(x)*x^2+2000*x^3+111*f(x)*x-1110*x^2-f(x)+1) ogf] A135577 5.00128 [-(2000*x^3-1110*x^2+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A135583 13.6568 [-(7*x-3)/(4*x-1)/(x-1) ogf] A135583 14.6833 [-1/2*(-3-5*x+(9+2*x+9*x^2)^(1/2))/(4*x+7) revogf] A135583 15.4363 [-4*(2-6*x+7*x^2)/(x-1)/(7*x-3)/(-1+4*x) lgdogf] A135583 6.75337 [-(99*f(x)-41)*(4*f(x)*x^2-5*f(x)*x+f(x)+7*x-3) ogf] A135583 7.49459 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=3,a(1)=8} ogf] A135593 8.71924 [(18+54*x+5*x^5+21*x^4+46*x^3+x^6+68*x^2)/(18*x^2+4+14*x+4*x^4+12*x^3+x^5) lgdegf] A135600 15.7268 [-(99*x-100)/(x-1)^2 ogf] A135600 24.6466 [-(-50-x+(2500+x)^(1/2))/(99+x) revogf] A135600 25.4965 [-(-101+99*x)/(x-1)/(99*x-100) lgdogf] A135600 8.20526 [(2*f(x)+10001)*(f(x)*x^2-2*f(x)*x+f(x)+99*x-100) ogf] A135600 8.77772 [{-a(n+2)+2*a(n+1)-a(n),a(0)=100,a(1)=101} ogf] A135619 9.07354 [-x^3*(x^4-x^3+2*x^2+x+1)/(x^9+x^6+7*x^3-1) ogf] A135628 10.0663 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=28} ogf] A135628 101.713 [-2/(x-1) lgdogf] A135628 13.7573 [-f(x)*x^2+2*f(x)*x-f(x)+28*x ogf] A135628 21.7220 [28*x/(x-1)^2 ogf] A135628 33.9042 [7*x/(7+(49+7*x)^(1/2))^2 revogf] A135628 63.1672 [[2] ogf_with_Euler_transform] A135631 100.214 [-2/(x-1) lgdogf] A135631 13.5565 [-f(x)*x^2+2*f(x)*x-f(x)+31*x ogf] A135631 21.4050 [31*x/(x-1)^2 ogf] A135631 26.7238 [124*x/(31+(961+124*x)^(1/2))^2 revogf] A135631 62.2370 [[2] ogf_with_Euler_transform] A135631 9.91939 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=31} ogf] A135639 11.4237 [-f(x)*x^2+2*f(x)*x-f(x)+839*x ogf] A135639 17.8679 [839*x/(x-1)^2 ogf] A135639 19.0606 [3356*x/(839+(703921+3356*x)^(1/2))^2 revogf] A135639 53.1667 [[2] ogf_with_Euler_transform] A135639 8.39577 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=839} ogf] A135639 85.7728 [-2/(x-1) lgdogf] A135640 12.3667 [-839*f(x)*x+f(x)-1 ogf] A135640 23.1205 [-1/(839*x-1) ogf] A135640 9.84761 [{a(n+1)-839*a(n),a(0)=1} ogf] A135653 3.15354 [(10*f(x)*x-f(x)+1)^2 ogf] A135654 2.81011 [-(1000000*x^6+100000*x^5+10000*x^4+1000*x^3+100*x^2+10*x+1)/(1111111*x^7-1) ogf] A135654 6.59764 [(10*f(x)*x-f(x)+1)^2 ogf] A135655 3.42088 [(88888888888890*x^12+8888888888889*x^11+1000000*x^4+100000*x^3+10000*x^2+1000*x+100)/(8888888888889*x^11-10000000*x^5+100) ogf] A135655 7.94852 [-(f(x)-2)*(10*f(x)*x-f(x)+1)^2 ogf] A135659 18.0351 [(17*x+7)/(x-1)^2 ogf] A135659 21.9970 [-1/2*(-7-2*x+(49+96*x)^(1/2))/(-17+x) revogf] A135659 32.5556 [-(17*x+31)/(17*x+7)/(x-1) lgdogf] A135659 9.32152 [(48*f(x)+625)*(f(x)*x^2-2*f(x)*x+f(x)-17*x-7) ogf] A135659 9.99537 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=31} ogf] A135690 10.4490 [-x*(2*x-1)*(3*x^2+1)/(x-1)/(2*x^4-1) ogf] A135690 11.0554 [-(-1+6*x+28*x^5+24*x^7-30*x^6-21*x^2+20*x^3-22*x^4)/(x-1)/(2*x-1)/(3*x^2+1)/(2*x^4-1) lgdogf] A135694 12.2042 [-(2*x^3+x-1)/(x^2+x+1)/(x^2-x+1) ogf] A135694 14.6991 [-(-1-2*x+2*x^6+x^4-4*x^3-5*x^2)/(x^2+x+1)/(x^2-x+1)/(2*x^3+x-1) lgdogf] A135694 7.32251 [(11*f(x)-16)*(f(x)*x^4+f(x)*x^2+2*x^3+f(x)+x-1) ogf] A135695 10.8228 [-(x+1)*(3*x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A135695 12.2345 [-(x-1)*(3*x^5+9*x^4+9*x^3+13*x^2+5*x+1)/(x+1)/(3*x^2+1)/(x^2-x+1)/(x^2+x+1) lgdogf] A135695 6.57459 [-(24*f(x)+67)*(f(x)*x^4+f(x)*x^2+3*x^3+3*x^2+f(x)+x+1) ogf] A135703 14.3585 [-x*(9*x+5)/(x-1)^3 ogf] A135703 33.6255 [-6*(4+3*x)/(9*x+5)/(x-1) lgdogf] A135703 6.99515 [(184828*f(x)-834879)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+5*x) ogf] A135703 7.30743 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=24} ogf] A135704 12.0597 [-(21*x^2-11*x+4)/(x-1)^3 ogf] A135704 19.5978 [-(1+20*x+21*x^2)/(x-1)/(21*x^2-11*x+4) lgdogf] A135704 6.02986 [-(65660*f(x)-355623)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)-11*x+4) ogf] A135704 6.72356 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=1,a(2)=12} ogf] A135705 14.7251 [-x*(x+9)/(x-1)^3 ogf] A135705 39.4182 [-2*(x+14)/(x+9)/(x-1) lgdogf] A135705 7.29854 [(12900*f(x)-66937)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+9*x) ogf] A135705 7.49404 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=28} ogf] A135706 14.5900 [-2*x*(4*x+1)/(x-1)^3 ogf] A135706 37.2765 [-(7+8*x)/(4*x+1)/(x-1) lgdogf] A135706 7.23158 [-(175*f(x)-558)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+2*x) ogf] A135706 7.42529 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=14} ogf] A135712 11.6547 [(2*x^2+9*x+1)/(x-1)^4 ogf] A135712 21.9283 [-(13+31*x+4*x^2)/(x-1)/(2*x^2+9*x+1) lgdogf] A135712 3.98107 [{(n+4)*a(n+4)+(11+8*n)*a(n+3)+(-45-7*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=1,a(1)=13,a(2)=48,a(3)=118} ogf] A135712 5.54604 [(150412032*f(x)+939684563)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-9*x-1) ogf] A135713 12.6261 [x*(7*x+5)/(x-1)^4 ogf] A135713 33.7316 [-3*(9+7*x)/(7*x+5)/(x-1) lgdogf] A135713 5.36405 [{(10+5*n)*a(n+3)+(-25+2*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=0,a(1)=5,a(2)=27} ogf] A135713 5.86214 [(91687680*f(x)+447571829)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-5*x) ogf] A135763 99.9999 Evaluated at exp(-Pi) 1/32*GAMMA(2/3)^3/GAMMA(3/4)^9*GAMMA(7/12)^3*2^(1/2)*(1+3^(1/2))^3 A135828 99.9999 Evaluated at exp(-Pi) 3/512*exp(3/2*Pi)*Pi^4*2^(1/2)/GAMMA(3/4)^16 A135849 13.7639 [(2*x-1)*(x-1)/(3*x^2-8*x+1) ogf] A135849 16.6772 [-(x+1)*(7*x-5)/(x-1)/(-1+2*x)/(3*x^2-8*x+1) lgdogf] A135849 7.08238 [{-a(n+3)+8*a(n+2)-3*a(n+1),a(0)=1,a(1)=5,a(2)=39} ogf] A135849 7.52047 [(143+482*f(x))*(3*f(x)*x^2-8*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A135851 12.2784 [-f(x)*x^3-f(x)*x-x^2+f(x)-x+1 ogf] A135851 16.4485 [-(x^2+x-1)/(x^3+x-1) ogf] A135851 21.7942 [-x*(2+x^3+2*x^2-4*x)/(x^2+x-1)/(x^3+x-1) lgdogf] A135851 9.37385 [{a(n+3)-a(n+2)-a(n),a(0)=-1,a(1)=0,a(2)=1} ogf] A135854 3.72422 [{(-2*n^2-10*n-12)*a(n)+(3*n^2+12*n+9)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=6,a(2)=15} ogf] A135854 4.39666 [(2*f(x)+7)*(4*f(x)*x^4-12*f(x)*x^3+4*x^4+13*f(x)*x^2-12*x^3-6*f(x)*x+8*x^2+f(x)-1) ogf] A135854 7.53712 [-(4*x^4-12*x^3+8*x^2-1)/(2*x-1)^2/(x-1)^2 ogf] A135859 16.5286 [-2*(2+3*x+x^3+6*x^2)/(-1+x)/(2*x^3+3*x^2+1) lgdogf] A135859 5.37322 [(46*f(x)+53)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-3*x^2+f(x)-1) ogf] A135859 5.37322 [{(-n-2)*a(n+1)+(n-2)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=13} ogf] A135859 9.93678 [(2*x^3+3*x^2+1)/(x-1)^4 ogf] A135863 12.7849 [-16*f(x)*x^2+f(x)^2-2*f(x)+1 ogf] A135863 48.4210 [4/(1+4*x^2)^(1/2) lgdogf] A135863 6.17203 [{(-4*n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=1,a(1)=4,a(2)=8} ogf] A135864 10.3987 [729*f(x)*x^3-f(x)^3+3*f(x)^2-3*f(x)+1 ogf] A135864 5.90646 [{(-108*n^2+162*n)*a(n)+(n^2+3*n+2)*a(n+3),a(0)=1,a(1)=9,a(2)=27} ogf] A135908 11.0739 [-x^3*(3*x^3-2*x^2-x-2)/(x-1)/(3*x^3-1) ogf] A135908 11.4714 [-(3+4*x+9*x^6-12*x^5-3*x^4-12*x^3+7*x^2)/(x-1)/(3*x^3-1)/(3*x^3-2*x^2-x-2) lgdogf] A135909 8.93349 [(-3-2*x-12*x^8-11*x^6+16*x^5+x^4+14*x^3+6*x^9+6*x^7-11*x^2)/(x-1)/(x^6-x^5+2*x^3-x^2-x-2)/(3*x^3-1) lgdogf] A135909 9.55101 [-x^3*(x^6-x^5+2*x^3-x^2-x-2)/(x-1)/(3*x^3-1) ogf] A135913 11.4515 [-(7-66*x+211*x^2-276*x^3+132*x^4)/(x-1)/(3*x-1)/(2*x-1)/(22*x^2-23*x+5) lgdogf] A135913 11.6627 [-(22*x^2-23*x+5)/(x-1)/(3*x-1)/(2*x-1) ogf] A135913 6.16871 [-(17*f(x)+275)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+22*x^2-f(x)-23*x+5) ogf] A135913 6.60542 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=5,a(1)=7,a(2)=9} ogf] A135914 11.2566 [-(-7+30*x+24*x^4-12*x^3-31*x^2)/(x-1)/(3*x-1)/(2*x-1)/(4*x^2-x-1) lgdogf] A135914 12.0139 [(4*x^2-x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A135914 6.15586 [-(146*f(x)-2837)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-4*x^2-f(x)+x+1) ogf] A135914 6.53386 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=1,a(1)=7,a(2)=27} ogf] A135916 25.6375 [-(-25+2*x+3*x^2)/(x-1)/(x^2-5) lgdogf] A135916 4.06465 [{(-61*n^2-296*n-348)*a(n+1)+(192*n^2+926*n+1095)*a(n+2)+(-131*n^2-350*n-219)*a(n+3),a(0)=0,a(1)=0,a(2)=15} ogf] A135916 9.70435 [3*x^2*(x^2-5)/(x-1)^5 ogf] A135917 5.76386 [-x*(5*x^5+29*x^4-161*x^3+159*x^2+84*x+4)/(x-1)^7 ogf] A135917 8.66120 [-2*(56+411*x+5*x^5+56*x^4-264*x^3+156*x^2)/(x-1)/(5*x^5+29*x^4-161*x^3+159*x^2+84*x+4) lgdogf] A135918 4.8775 [-(1918227*f(x)+536756)*(160*f(x)*x^3-188*f(x)*x^2+29*f(x)*x-64*x^2-f(x)+5*x) ogf] A135918 5.33607 [{-a(n+3)+29*a(n+2)-188*a(n+1)+160*a(n),a(0)=0,a(1)=5,a(2)=81} ogf] A135918 8.28169 [-(-81+1880*x-14432*x^2+20480*x^3)/(x-1)/(64*x-5)/(20*x-1)/(8*x-1) lgdogf] A135918 9.90984 [x*(64*x-5)/(x-1)/(20*x-1)/(8*x-1) ogf] A135923 4.18639 [-x*(10*x^7-279*x^6+1071*x^5-879*x^4-1724*x^3+2331*x^2+1115*x+35)/(x-1)^9 ogf] A135949 10.7406 [(4*x^2+x-1)/(2*x+1)/(x^2+2*x-1) ogf] A135949 12.2079 [-(1-2*x+8*x^4+4*x^3-x^2)/(1+2*x)/(4*x^2+x-1)/(x^2+2*x-1) lgdogf] A135949 6.51294 [{-a(n+3)+5*a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A135949 7.20254 [f(x)*(2*f(x)*x^3+5*f(x)*x^2-4*x^2-f(x)-x+1) ogf] A135989 6.17331 [-(3+67*x+75*x^3+129*x^7+35*x^8+31*x^9+229*x^4+107*x^5+131*x^2+193*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(31*x^5+2*x^4+32*x^3+32*x^2+2*x+1) lgdogf] A135989 9.22355 [3*(31*x^5+2*x^4+32*x^3+32*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A135990 13.8708 [x^2*(x-1)*(x+1)/(x^5-2*x^4+x^2-1) ogf] A135990 18.3040 [-x^3*(-4*x^2+3*x^3+8-5*x)/(x-1)/(x+1)/(x^5-2*x^4+x^2-1) lgdogf] A135990 8.7534 [f(x)*(f(x)*x^5-2*f(x)*x^4-x^4+f(x)*x^2+x^2-f(x)) ogf] A135991 11.6199 [-x*(3*x^6-2-7*x^5+2*x-12*x^2+12*x^3)/(x-1)/(x+1)/(x^6-3*x^5+3*x^4-x+1) lgdogf] A135991 8.51622 [x^2*(x+1)*(x-1)^2/(x^6-3*x^5+3*x^4-x+1) ogf] A135992 11.6168 [-(x+1)*(x^5-x^4+x^3-5*x^2+5*x+1)/(x^2+x-1)/(x^2-x-1)/(x^3-x-1) lgdogf] A135992 12.8911 [-(x^3-x-1)/(x^2+x-1)/(x^2-x-1) ogf] A135992 7.42215 [-(65*f(x)+22)*(f(x)*x^4-3*f(x)*x^2+x^3+f(x)-x-1) ogf] A135994 13.9327 [-x*(x-2)/(x^2+x-1)/(x^2-x-1) ogf] A135994 14.6851 [-(-1+12*x+3*x^4-8*x^3-3*x^2)/(x-2)/(x^2+x-1)/(x^2-x-1) lgdogf] A135994 8.11462 [(50*f(x)+21)*(f(x)*x^4-3*f(x)*x^2+x^2+f(x)-2*x) ogf] A135997 11.9730 [-(-1-2*x+4*x^6+9*x^5-4*x^4+3*x^3-3*x^2)/(x-1)/(x^2+x+1)/(2*x^4+3*x^3-x^2-x-2) lgdogf] A135997 9.76603 [-x*(2*x^4+3*x^3-x^2-x-2)/(x-1)^2/(x^2+x+1)^2 ogf] A136006 5.24220 [-2*x^2*(x^4+29*x^3+147*x^2+155*x+28)/(x-1)^7 ogf] A136006 9.55316 [-3*(117+408*x+x^4+40*x^3+274*x^2)/(x-1)/(x^4+29*x^3+147*x^2+155*x+28) lgdogf] A136008 14.6482 [-4*(3+10*x+x^3+7*x^2)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A136008 4.21367 [{(n^2+2*n)*a(n)+(-2*n^2-4*n-30)*a(n+1)+(n^2+2*n)*a(n+2),a(0)=0,a(1)=0,a(2)=60} ogf] A136008 5.59462 [-60*x^2*(x+1)*(x^2+4*x+1)/(x-1)^7 ogf] A136010 11.5975 [1/2/(-131+9*x)*(-20-7*x+(400-244*x+85*x^2)^(1/2)) revogf] A136010 12.0845 [(131*x-20)/(9*x^2+7*x-1) ogf] A136010 12.6284 [-9*(-1-40*x+131*x^2)/(131*x-20)/(9*x^2+7*x-1) lgdogf] A136010 6.10584 [(1640*f(x)-32791)*(9*f(x)*x^2+7*f(x)*x-f(x)-131*x+20) ogf] A136010 6.98861 [{-a(n+2)+7*a(n+1)+9*a(n),a(0)=20,a(1)=9} ogf] A136016 12.9822 [(x^2-11*x-8)/(x-1)^3 ogf] A136016 23.2309 [-(-35-20*x+x^2)/(x-1)/(x^2-11*x-8) lgdogf] A136016 6.87946 [(428*f(x)-5749)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+11*x+8) ogf] A136016 7.06050 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=35,a(2)=80} ogf] A136017 12.0676 [(x^2-38*x-35)/(x-1)^3 ogf] A136017 20.7141 [-(-143-74*x+x^2)/(x-1)/(x^2-38*x-35) lgdogf] A136017 6.3887 [(304*f(x)-15245)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+38*x+35) ogf] A136017 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=35,a(1)=143,a(2)=323} ogf] A136028 99.9999 Evaluated at exp(-Pi) -1/64/Pi^(3/2)/GAMMA(7/8)^6*GAMMA(5/8)^6*(7*2^(1/2)+10)/(2^(1/2)-2)*2^(1/2)*(2+2^(1/2))^(1/2) A136029 11.5242 [-(-1+x+x^4-2*x^3+x^5-4*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+2*x-1) lgdogf] A136029 7.79399 [-f(x)^2*x^4-2*f(x)^2*x^3-2*f(x)^2*x+f(x)^2+x^2-1 ogf] A136038 14.2463 [-(27+104*x+8*x^3+71*x^2)/(-1+x)/(x+1)/(2*x^2+11*x+2) lgdogf] A136038 4.13006 [{(-7*n^2-37*n-48)*a(n+1)+(14*n^2+56*n+162)*a(n+2)+(-7*n^2-19*n-12)*a(n+3),a(0)=0,a(1)=0,a(2)=48} ogf] A136038 6.28186 [-24*x^2*(x+1)*(2*x^2+11*x+2)/(x-1)^7 ogf] A136042 6.98094 [-(x^13+2*x^12+3*x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+3*x^4+2*x^3+x^2+4*x+5)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A136047 11.0447 [-(3+21*x+12*x^2+32*x^3-7*x^4+3*x^5)/(x-1)/(x+1)/(x^4-2*x^3+6*x^2+2*x+1) lgdogf] A136047 7.33394 [(x^4-2*x^3+6*x^2+2*x+1)/(x+1)^3/(x-1)^4 ogf] A136105 19.4209 [-(-27+16*x+6*x^2)/(x-1)/(2*x^2+3*x-6) lgdogf] A136105 9.27870 [(2*x^2+3*x-6)/(x-1)^5 ogf] A136161 6.33178 [-x*(3*x^4+7*x^3-x^2-2*x-5)/(x-1)^2/(x^2+x+1)^2 ogf] A136161 7.28117 [-(-2-2*x+6*x^6+21*x^5-4*x^4+2*x^3-9*x^2)/(-1+x)/(x^2+x+1)/(3*x^4+7*x^3-x^2-2*x-5) lgdogf] A136169 8.03858 [-(x^4-x^3-x^2-x+1)/(2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A136169 8.62921 [-(-2+4*x+3*x^3+2*x^7-4*x^4-6*x^5-x^2-2*x^6)/(x-1)/(2*x-1)/(x^2+x+1)/(x^4-x^3-x^2-x+1) lgdogf] A136184 6.19116 [-(x^10+x^9-x^8+x^6-x^3-x-1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A136184 6.21289 [(20*x^3+2*x^12-16*x^10-16*x^9+18*x^2+2*x^13-6*x^11+8*x+13*x^4-3*x^8+2*x^7-2*x^6+2)/(x-1)/(x+1)/(x^2+x+1)/(x^10+x^9-x^8+x^6-x^3-x-1) lgdogf] A136185 6.70185 [-(x^7-2*x^5+x^3+x^2-x-1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A136185 9.78393 [-(-2-6*x-4*x^4-6*x^3+x^10+2*x^9-9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^7-2*x^5+x^3+x^2-x-1) lgdogf] A136188 16.1320 [-(5*x^2+5*x+3)/(x-1)/(x+1) ogf] A136188 9.41031 [{-a(n+3)+a(n+1),a(0)=3,a(1)=5,a(2)=8} ogf] A136188 9.75884 [-(16*f(x)-23)*(f(x)*x^2+5*x^2-f(x)+5*x+3) ogf] A136201 12.8937 [x^3/(3*x^2-1)/(x^2+2*x-1) ogf] A136201 14.4666 [-2*(-1+2*x)*(3*x^2+6*x+1)/(3*x^2-1)/(x^2+2*x-1) lgdogf] A136201 6.90266 [3*f(x)*x^4+6*f(x)*x^3-4*f(x)*x^2-x^3-2*f(x)*x+f(x) ogf] A136210 11.1836 [-(3+8*x+15*x^2-4*x^3-9*x^4+2*x^5)/(x^2-3*x-1)/(x^4-5*x^2+1) lgdogf] A136210 11.8147 [-(x^2-3*x-1)/(x^4-5*x^2+1) ogf] A136210 7.16422 [(13*f(x)+6)*(f(x)*x^4-5*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A136211 10.7986 [-(4+10*x+x^6+17*x^2-4*x^3-7*x^4)/(x^3-4*x-1)/(x^4-5*x^2+1) lgdogf] A136211 11.2243 [-(x^3-4*x-1)/(x^4-5*x^2+1) ogf] A136211 6.59573 [(872*f(x)+425)*(f(x)*x^4-5*f(x)*x^2+x^3+f(x)-4*x-1) ogf] A136249 11.2899 [-(2+2*x+68*x^4-16*x^3-39*x^2)/(2*x+1)/(2*x-1)/(x+1)/(17*x^2-2*x-4) lgdogf] A136249 11.4034 [(17*x^2-2*x-4)/(2*x+1)/(2*x-1)/(x+1) ogf] A136249 6.20184 [(12*f(x)-47)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x-17*x^2-f(x)+2*x+4) ogf] A136249 6.31260 [{-a(n+3)-a(n+2)+4*a(n+1)+4*a(n),a(0)=4,a(1)=-2,a(2)=1} ogf] A136252 14.8543 [(2*x+1)/(x-1)/(2*x^2-1) ogf] A136252 17.1649 [-(-3-4*x+8*x^3+2*x^2)/(x-1)/(2*x+1)/(2*x^2-1) lgdogf] A136252 7.02926 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A136252 7.2896 [-(f(x)-14)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A136254 16.6102 [-(3-7*x+8*x^2)/(-1+x)/(4*x^2-5*x+2) lgdogf] A136254 4.58309 [(f(x)+4)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)+10*x-4) ogf] A136254 8.51146 [2*(4*x^2-5*x+2)/(x-1)^4 ogf] A136258 16.7523 [(3*x+1)/(2*x^2-2*x+1) ogf] A136258 18.9133 [-1/2*(-1-2*x+(1+16*x-4*x^2)^(1/2))/(-3+2*x) revogf] A136258 21.9803 [-(-5+4*x+6*x^2)/(3*x+1)/(2*x^2-2*x+1) lgdogf] A136258 8.76576 [(6*f(x)+19)*(2*f(x)*x^2-2*f(x)*x+f(x)-3*x-1) ogf] A136258 9.19335 [{-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=5} ogf] A136264 33.3317 [32*x/(x-1)/(x+1)/(1-6*x+x^2) lgdogf] A136264 4.00088 [{(-n-4)*a(n+4)+(6*n+18)*a(n+3)-32*a(n+2)+(-6*n-6)*a(n+1)+n*a(n),a(0)=1,a(1)=0,a(2)=-16,a(3)=-64} ogf] A136264 5.47058 [(5*f(x)-37)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+4*x^3-4*f(x)*x+10*x^2+f(x)+4*x-1) ogf] A136264 9.35088 [(x^2-6*x+1)*(x+1)^2/(x-1)^4 ogf] A136270 11.0301 [-(3*x-1)/(3*x^2-20*x+1) ogf] A136270 11.5417 [-1/6*(-1-20*x+(1+28*x+388*x^2)^(1/2))/(1+x) revogf] A136270 13.0604 [-(17-6*x+9*x^2)/(3*x-1)/(3*x^2-20*x+1) lgdogf] A136270 5.45574 [-(334*f(x)-45)*(3*f(x)*x^2-20*f(x)*x+f(x)+3*x-1) ogf] A136270 6.04029 [{a(n+2)-20*a(n+1)+3*a(n),a(0)=1,a(1)=17} ogf] A136281 11.3662 [-1/2*(x-2)*(x^5-2*x^4+2*x^3+2*x-4)/(x^3-2*x^2+2*x-2)/(x-1)^2 lgdegf] A136289 15.5826 [3*(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A136289 18.1551 [-(1+3*x+x^3+2*x^4+5*x^2)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A136289 26.8173 [-x^3+x^2+x+1 ogf_with_Euler_transform] A136289 5.41589 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=3,a(1)=3,a(2)=6,a(3)=9} ogf] A136289 8.22414 [(f(x)+24)*(f(x)*x^4-f(x)*x^3-f(x)*x-3*x^2+f(x)-3) ogf] A136290 6.73992 [(5*f(x)-1334)*(f(x)*x^4-f(x)*x^3-x^4-2*x^3-f(x)*x-6*x^2+f(x)-2*x-1) ogf] A136293 17.3324 [2*(25*x+13)/(x-1)^2 ogf] A136293 24.2242 [-(-13-x+(169+76*x)^(1/2))/(-50+x) revogf] A136293 30.7461 [-(51+25*x)/(25*x+13)/(x-1) lgdogf] A136293 8.95193 [(38*f(x)+1613)*(f(x)*x^2-2*f(x)*x+f(x)-50*x-26) ogf] A136293 9.58382 [{-a(n+2)+2*a(n+1)-a(n),a(0)=26,a(1)=102} ogf] A136297 15.2039 [(5*x^2-1)/(3*x^3-3*x^2+3*x-1) ogf] A136297 15.9148 [-(-3+16*x-24*x^2+15*x^4)/(5*x^2-1)/(3*x^3-3*x^2+3*x-1) lgdogf] A136297 7.53583 [-(129*f(x)-289)*(3*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+1) ogf] A136297 7.73769 [{a(n+3)-3*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=1} ogf] A136298 11.1464 [(x^3-2*x^2-x+1)/(x+1)/(2*x-1)^2 ogf] A136298 14.1743 [(-2+3*x^2+4*x^3)/(-1+2*x)/(x+1)/(x^3-2*x^2-x+1) lgdogf] A136298 5.96430 [{-a(n+4)+3*a(n+3)-4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A136298 6.47552 [-(f(x)+7)*(4*f(x)*x^3-x^3-3*f(x)*x+2*x^2+f(x)+x-1) ogf] A136299 12.3712 [-(x^3+2*x^2+x-1)/(x+1)/(2*x-1)^2 ogf] A136299 17.2567 [-(-2+4*x^3+9*x^2)/(2*x-1)/(x+1)/(x^3+2*x^2+x-1) lgdogf] A136299 6.61966 [{a(n+4)-3*a(n+3)+4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A136299 7.18706 [-(f(x)-7)*(4*f(x)*x^3+x^3-3*f(x)*x+2*x^2+f(x)+x-1) ogf] A136302 12.2877 [-(x^2+2)/(x^3-2*x^2+3*x-1) ogf] A136302 15.6120 [-(6-6*x+x^4+3*x^2)/(x^2+2)/(x^3-2*x^2+3*x-1) lgdogf] A136302 6.19821 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=6,a(2)=15} ogf] A136302 7.11109 [-(38*f(x)+59)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)+2) ogf] A136303 9.82514 [-(x^2+1)/(x^3-2*x^2+3*x-1)/(x-1)^2 ogf] A136305 12.4897 [-(2*x^2-x+3)/(x^3-2*x^2+3*x-1) ogf] A136305 6.74220 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=8,a(2)=20} ogf] A136305 7.39678 [f(x)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-x+3) ogf] A136313 6.92226 [-(15*x^10+7*x^9+21*x^8+13*x^7+5*x^6+19*x^5+11*x^4+3*x^3+17*x^2+9*x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A136315 6.93077 [-(8*x^9+9*x^8+4*x^7+7*x^6+5*x^4+6*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A136316 15.8836 [(15*x-13)/(x-1)^3 ogf] A136316 37.9954 [-6*(-4+5*x)/(15*x-13)/(x-1) lgdogf] A136316 7.59650 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=13,a(1)=24,a(2)=33} ogf] A136316 7.59651 [-(452*f(x)-92951)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-15*x+13) ogf] A136320 14.0848 [(5*x^2-2*x+3)/(x+1)/(x-1)^2 ogf] A136320 18.7273 [-(1+17*x+5*x^3+x^2)/(x-1)/(x+1)/(5*x^2-2*x+3) lgdogf] A136320 7.40666 [(822*f(x)+3491)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)+2*x-3) ogf] A136320 7.67118 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=1,a(2)=9} ogf] A136324 5.83778 [(216*f(x)+85)*(4*f(x)*x^4-5*f(x)*x^2+3*x^3-x^2+f(x)-x) ogf] A136324 7.64635 [-(1+4*x+24*x^5-12*x^4-16*x^3+5*x^2)/(x-1)/(1+2*x)/(2*x-1)/(x+1)/(3*x^2-x-1) lgdogf] A136324 9.57013 [-x*(3*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A136325 11.0612 [-1/2*(-3-8*x+(1+2*x)^(1/2)*(3+10*x)^(1/2)*3^(1/2))/x revogf] A136325 15.7883 [3*x/(x^2-8*x+1) ogf] A136325 28.7590 [-2*(x-4)/(x^2+1-8*x) lgdogf] A136325 7.21194 [{a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=3} ogf] A136325 9.90115 [-f(x)*x^2+8*f(x)*x-f(x)+3*x ogf] A136326 11.4990 [(x^3-2*x^2+x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A136326 6.01084 [{-a(n+4)+a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A136326 6.45066 [-(f(x)+1)*(4*f(x)*x^3-4*f(x)*x^2-x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A136331 7.01200 [3*x*(x^3+5*x^2-x-1)/(x-1)/(x^4-10*x^2+1) ogf] A136331 7.56345 [-2*(-1-5*x-31*x^4+11*x^3+x^7+7*x^6-7*x^5+9*x^2)/(x-1)/(x^3+5*x^2-x-1)/(x^4-10*x^2+1) lgdogf] A136336 11.2946 [-(x^3+2*x^2-x-1)/(2*x-1)/(2*x+1)/(x-1) ogf] A136336 5.90398 [{-a(n+4)+a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A136336 6.33598 [-(3*f(x)+7)*(4*f(x)*x^3-4*f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A136362 4.17055 [(4*x^6-21*x^5+47*x^4-94*x^3-34*x^2+3*x-1)/(x-1)^5 ogf] A136362 5.36480 [2*(1+28*x+2*x^6-12*x^5+29*x^4+192*x^2)/(-1+x)/(4*x^6-21*x^5+47*x^4-94*x^3-34*x^2+3*x-1) lgdogf] A136376 15.0502 [-(3+7*x+x^4+x^3+6*x^2)/(x+1)/(1+x^2)/(x^2+x-1) lgdogf] A136376 4.90482 [-(100*f(x)-41)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A136376 9.17266 [(x+1)*(x^2+1)/(x^2+x-1)^2 ogf] A136391 10.4757 [-(-1-5*x+x^4-3*x^3+6*x^2)/(-1+x)/(1+x^2)/(x^2+x-1) lgdogf] A136391 10.5045 [-(x-1)*(x^2+1)/(x^2+x-1)^2 ogf] A136391 3.85165 [{(n^2+n)*a(n)+(-2*n^2-19*n-24)*a(n+1)+(-4*n^2-15*n-12)*a(n+2)+(3*n^2+13*n+12)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A136391 5.65626 [-(25*f(x)+19)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)+x-1) ogf] A136392 11.9483 [-(x+1)*(5*x+1)/(x-1)^3 ogf] A136392 20.3970 [-(9+22*x+5*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A136392 6.22945 [(2214*f(x)-9149)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+6*x+1) ogf] A136392 6.44996 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=29} ogf] A136395 17.4383 [-(4-2*x+4*x^3+x^4+3*x^2)/(x-1)/(x^4+x^2-x+1) lgdogf] A136395 8.98900 [-(x^4+x^2-x+1)/(x-1)^5 ogf] A136396 9.48039 [-(x^4-x^3+3*x^2-2*x+1)/(x-1)^5 ogf] A136399 14.7931 [-(2*x^9-2*x^8+x-2)/(x-1)^2 ogf] A136399 17.7054 [(3-x-30*x^8+16*x^7+14*x^9)/(x-1)/(2*x^9-2*x^8+x-2) lgdogf] A136401 15.9430 [x^3/(2*x-1)/(x-1)/(2*x^2+1) ogf] A136401 7.89098 [-4*f(x)*x^4+6*f(x)*x^3-4*f(x)*x^2+x^3+3*f(x)*x-f(x) ogf] A136408 5.17089 [{a(n+4)-3*a(n+3)+4*a(n+2)-6*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A136408 5.20756 [(166*f(x)+125)*(4*f(x)*x^4-6*f(x)*x^3+4*f(x)*x^2+3*x^3-3*f(x)*x-2*x^2+f(x)+x-1) ogf] A136408 8.57477 [-(2-4*x+12*x^6+12*x^4-16*x^5-10*x^3+7*x^2)/(x-1)/(2*x-1)/(2*x^2+1)/(3*x^3-2*x^2+x-1) lgdogf] A136408 9.53594 [-(3*x^3-2*x^2+x-1)/(2*x-1)/(x-1)/(2*x^2+1) ogf] A136412 13.6568 [-(3*x-2)/(4*x-1)/(x-1) ogf] A136412 14.6833 [-1/2*(-2-5*x+(4+8*x+9*x^2)^(1/2))/(3+4*x) revogf] A136412 15.4363 [-(7-16*x+12*x^2)/(x-1)/(-1+4*x)/(3*x-2) lgdogf] A136412 6.75337 [-(19*f(x)+11)*(4*f(x)*x^2-5*f(x)*x+f(x)+3*x-2) ogf] A136412 7.49459 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=2,a(1)=7} ogf] A136427 8.93553 [x*(2*x^4+2*x^2-x+1)/(2*x-1)/(x-1)/(2*x^2+1) ogf] A136427 9.14472 [-2*(-1+2*x+6*x^6-3*x^4+10*x^3-8*x^2)/(x-1)/(2*x-1)/(2*x^2+1)/(2*x^4+2*x^2-x+1) lgdogf] A136429 13.3157 [-2*(1+4*x-5*x^2+2*x^3)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A136429 8.93650 [(x-1)^2/(x+1)^2/(x^2-3*x+1)^2 ogf] A136433 6.19721 [-(18*x^8+6*x^7-6*x^6-7*x^5-9*x^4-13*x^3-26*x^2-12*x-11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(6*x^3-1) ogf] A136434 22.5328 [-(-1-13*x+2*x^2)/(-1+x)/(x^2-5*x+1) lgdogf] A136444 3.73374 [{(-n^2-7*n-12)*a(n+1)+(n^2+6*n+8)*a(n+2)+(-2*n^2-10*n-9)*a(n+3)+(n^2+4*n+3)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A136444 9.97127 [-x^3*(x-1)/(x^3-x^2+2*x-1)^2 ogf] A136445 5.61101 [-(x^8+x^7-2*x^6-3*x^5-2*x^4+3*x^3+2*x^2-3)/(x+1)/(x^2+x+1)/(x^3+x^2-1)/(x-1)^3 ogf] A136488 14.1673 [-(x-1)*(x+1)/(2*x-1)/(2*x^2-1) ogf] A136488 7.14634 [-(34*f(x)+71)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A136488 7.21014 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A136530 11.8925 [(x-1)*(x+1)/(2*x-1)^3 ogf] A136530 19.8952 [-2*(-3+x+x^2)/(-1+x)/(2*x-1)/(x+1) lgdogf] A136530 5.94626 [(10476*f(x)-22631)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-x^2-f(x)+1) ogf] A136530 6.05057 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=6,a(2)=23} ogf] A136576 20.2985 [1/2*(-1+(1-4*x)^(1/2))/(-1+2*x) revogf] A136576 7.10388 [-4*f(x)^2*x^2+4*f(x)*x^2-2*f(x)*x-x^2-f(x)+x ogf] A136580 3.54575 [{(n+4)*a(n+1)-a(n+2)+(-4-n)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A136591 10.4507 [f(x)*x^2+f(x)*x+f(x)-2*x-1 egf] A136591 14.6309 [(2*x+1)/(x^2+x+1) egf] A136591 20.2323 [-(-1+2*x+2*x^2)/(2*x+1)/(x^2+x+1) lgdegf] A136598 15.3990 [-(2*x^3+5)/(x^5-x^3-1) ogf] A136598 20.9482 [-x^2*(-9+25*x^2+4*x^5)/(5+2*x^3)/(x^5-x^3-1) lgdogf] A136599 3.45203 [-(-6*x^14-3*x^13-3*x^12-3*x^11-3*x^10-3*x^9-3*x^8-3*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x-3)/(x^15-1) ogf_with_Euler_transform] A136602 11.1764 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A136602 111.552 [-2/(x-1) lgdogf] A136602 15.3438 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A136602 27.4329 [x/(x-1)^2 ogf] A136602 38.8007 [4*x/(1+(4*x+1)^(1/2))^2 revogf] A136602 69.4136 [[2] ogf_with_Euler_transform] A136615 8.49725 [-(8*x^6+16*x^5-14*x^4-7*x^3+2*x+1)/(2*x-1)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A136619 15.6946 [-f(x)*x^3-x^3-4*x^2+f(x)-x-1 ogf] A136619 15.9130 [-(1+8*x+4*x^4+2*x^3+6*x^2)/(-1+x)/(x^2+x+1)/(x^3+4*x^2+x+1) lgdogf] A136619 16.7959 [-(x^3+4*x^2+x+1)/(x-1)/(x^2+x+1) ogf] A136619 9.97259 [{a(n+4)-a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=2} ogf] A136658 20.3482 [-2+(1-3*x+3*x^2-x^3)*f(x) lgdegf] A136658 3.74052 [{(n^3+3*n^2+2*n)*a(n)+(-3*n^2-9*n-6)*a(n+1)+(3*n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A136659 14.6862 [-6*(-3-4*x+2*x^2)/(x-1)/(3*x^2-6*x-2) lgdegf] A136659 3.26442 [{(-3*n^2-24*n-45)*a(n+1)+(-n^2-8*n-21)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=9,a(2)=75} ogf] A136659 6.16612 [-1/2*(3*x^2-6*x-2)/(x-1)^6 egf] A136660 8.11328 [-3*(12+50*x-5*x^2-20*x^3+5*x^4)/(-1+x)/(3*x^4-12*x^3+3*x^2+18*x+2) lgdegf] A136661 2.80256 [{(-n^3-18*n^2-107*n-210)*a(n+1)+(3*n^2+39*n+126)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=30,a(2)=645} ogf] A136687 4.72765 [-(x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A136724 7.89880 [-4*(x^27-x^26+x^12-x^11+x^5-x^4+x^2+x-3)/(x-1)^2 ogf] A136746 7.04157 [(-4*x-x^8+3*x^6+5*x^5+x^3-11*x^7+12*x^10+9*x^13-9*x^12-18*x^11+x^2-2-5*x^4+15*x^9)/(x-1)/(x+1)/(x^12-x^11-x^10+x^8-x^6+x^5-x^3+x+1) lgdogf] A136746 8.39079 [(x^12-x^11-x^10+x^8-x^6+x^5-x^3+x+1)/(x+1)/(x-1)^2 ogf] A136768 7.68378 [(x^8+x^7+8*x^6+8*x^5+8*x^4+8*x^3+8*x^2+8*x+7)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A136775 13.6471 [(x-1)^2/(5*x^2-5*x+1) ogf] A136775 21.3383 [(-3+5*x)/(x-1)/(5*x^2-5*x+1) lgdogf] A136775 7.02231 [{-a(n+3)+5*a(n+2)-5*a(n+1),a(0)=1,a(1)=3,a(2)=11} ogf] A136775 7.77739 [(2+7*f(x))*(5*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A136776 12.4756 [(x-1)^2/(x^3+3*x^2-4*x+1) ogf] A136776 12.9522 [-(x+1)*(x^2-4*x+2)/(x-1)/(x^3+3*x^2-4*x+1) lgdogf] A136776 6.79473 [{-a(n+3)+4*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A136776 6.85594 [(f(x)+1)*(f(x)*x^3+3*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A136777 12.8700 [4*(1-5*x+7*x^2)/(x-1)/(3*x-1)/(13*x^2-8*x+1) lgdogf] A136777 13.0645 [(3*x-1)*(x-1)/(13*x^2-8*x+1) ogf] A136777 6.78351 [{a(n+3)-8*a(n+2)+13*a(n+1),a(0)=1,a(1)=4,a(2)=22} ogf] A136777 6.98501 [-(71+345*f(x))*(13*f(x)*x^2-8*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A136778 11.9307 [(3*x-1)*(x-1)/(3*x^3+9*x^2-7*x+1) ogf] A136778 6.32847 [-(f(x)-1)*(3*f(x)*x^3+9*f(x)*x^2-7*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A136778 6.44047 [{a(n+3)-7*a(n+2)+9*a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A136778 9.17652 [-3*(-1+4*x-2*x^2-8*x^3+3*x^4)/(x-1)/(-1+3*x)/(3*x^3+9*x^2-7*x+1) lgdogf] A136779 12.8700 [3*(x-1)*(3*x-1)/(13*x^2-8*x+1)/(1-5*x+7*x^2) lgdogf] A136779 13.0645 [(7*x^2-5*x+1)/(13*x^2-8*x+1) ogf] A136779 6.78351 [{-a(n+3)+8*a(n+2)-13*a(n+1),a(0)=1,a(1)=3,a(2)=18} ogf] A136779 7.42617 [(-7+46*f(x))*(13*f(x)*x^2-8*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A136780 12.0349 [(7*x^2-5*x+1)/(7*x^3+8*x^2-7*x+1) ogf] A136780 6.22144 [-(747*f(x)+56)*(7*f(x)*x^3+8*f(x)*x^2-7*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A136780 6.49673 [{a(n+3)-7*a(n+2)+8*a(n+1)+7*a(n),a(0)=1,a(1)=2,a(2)=13} ogf] A136780 9.27312 [-(-2+2*x+30*x^2-70*x^3+49*x^4)/(7*x^2-5*x+1)/(7*x^3+8*x^2-7*x+1) lgdogf] A136781 5.33093 [{-a(n+4)+14*a(n+3)-54*a(n+2)+57*a(n+1),a(0)=1,a(1)=3,a(2)=21,a(3)=162} ogf] A136781 5.74741 [(26+109*f(x))*(57*f(x)*x^3-54*f(x)*x^2-27*x^3+14*f(x)*x+33*x^2-f(x)-11*x+1) ogf] A136781 7.39452 [3*(1-14*x+141*x^4-166*x^3+74*x^2)/(-1+3*x)/(9*x^2-8*x+1)/(57*x^3-54*x^2+14*x-1) lgdogf] A136781 9.80891 [(3*x-1)*(9*x^2-8*x+1)/(57*x^3-54*x^2+14*x-1) ogf] A136782 4.65664 [-(7753*f(x)-1998)*(27*f(x)*x^4+24*f(x)*x^3-43*f(x)*x^2-27*x^3+13*f(x)*x+33*x^2-f(x)-11*x+1) ogf] A136782 6.14816 [-(-2+20*x-282*x^3+1260*x^4-1782*x^5-35*x^2+729*x^6)/(3*x-1)/(9*x^2-8*x+1)/(27*x^4+24*x^3-43*x^2+13*x-1) lgdogf] A136782 8.53715 [(3*x-1)*(9*x^2-8*x+1)/(27*x^4+24*x^3-43*x^2+13*x-1) ogf] A136783 11.2682 [-(7*x^2-6*x+1)/(20*x^3-27*x^2+10*x-1) ogf] A136783 6.21692 [{-a(n+3)+10*a(n+2)-27*a(n+1)+20*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A136783 6.326 [(7*f(x)+8)*(20*f(x)*x^3-27*f(x)*x^2+10*f(x)*x+7*x^2-f(x)-6*x+1) ogf] A136783 8.38346 [-4*(1-10*x+38*x^2-60*x^3+35*x^4)/(7*x^2-6*x+1)/(20*x^3-27*x^2+10*x-1) lgdogf] A136784 12.0060 [-(7*x^2-6*x+1)/(x-1)/(13*x^2-8*x+1) ogf] A136784 6.52049 [(57*f(x)+215)*(13*f(x)*x^3-21*f(x)*x^2+9*f(x)*x+7*x^2-f(x)-6*x+1) ogf] A136784 6.57718 [{-a(n+3)+9*a(n+2)-21*a(n+1)+13*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A136784 8.22475 [-(3-28*x-156*x^3+91*x^4+102*x^2)/(x-1)/(13*x^2-8*x+1)/(7*x^2-6*x+1) lgdogf] A136785 10.2339 [(3*x-1)*(x-1)^2/(20*x^3-27*x^2+10*x-1) ogf] A136785 5.33942 [{a(n+4)-10*a(n+3)+27*a(n+2)-20*a(n+1),a(0)=1,a(1)=5,a(2)=30,a(3)=182} ogf] A136785 5.99058 [(2+23*f(x))*(20*f(x)*x^3-27*f(x)*x^2-3*x^3+10*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A136785 9.84395 [(-5+35*x-81*x^2+59*x^3)/(x-1)/(3*x-1)/(20*x^3-27*x^2+10*x-1) lgdogf] A136786 5.08918 [-(2189*f(x)+315)*(3*f(x)*x^4+13*f(x)*x^3-22*f(x)*x^2-3*x^3+9*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A136786 7.06485 [-(4-26*x+9*x^5-13*x^3-33*x^4+51*x^2)/(x-1)/(3*x-1)/(3*x^4+13*x^3-22*x^2+9*x-1) lgdogf] A136786 9.53415 [(3*x-1)*(x-1)^2/(3*x^4+13*x^3-22*x^2+9*x-1) ogf] A136853 11.2013 [{-a(n+3)+10*a(n+1),a(0)=0,a(1)=1,a(2)=3} ogf] A136853 14.7018 [f(x)*(10*f(x)*x^2+3*x^2-f(x)+x) ogf] A136853 20.4546 [-x*(3*x+1)/(10*x^2-1) ogf] A136853 21.6421 [1/10*10^(1/2)*(-arcsinh(3)+arcsinh(3+10*x)) revegf] A136853 26.5889 [-(3+20*x+30*x^2)/(3*x+1)/(10*x^2-1) lgdogf] A136859 11.2013 [{a(n+3)-10*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A136859 13.8369 [-f(x)*(10*f(x)*x^2+4*x^2-f(x)+x) ogf] A136859 20.4546 [-x*(4*x+1)/(10*x^2-1) ogf] A136859 24.4898 [1/4*(-1+(1+16*x+40*x^2)^(1/2))/(2+5*x) revogf] A136859 25.8503 [-4*(1+5*x+10*x^2)/(4*x+1)/(10*x^2-1) lgdogf] A136863 11.7738 [-x*(71*x^4+900*x^3+90*x^2+10*x+1)/(10*x^2-1) ogf] A136863 9.92087 [2*(-5-100*x+4500*x^4-142*x^3+710*x^5-1400*x^2)/(10*x^2-1)/(71*x^4+900*x^3+90*x^2+10*x+1) lgdogf] A136875 6.97424 [-x*(77776*x^7+900000*x^6+90000*x^5+9000*x^4+900*x^3+90*x^2+10*x+1)/(10*x^2-1) ogf] A136921 11.9678 [-26*x/(10*x-1) ogf] A136921 12.9600 [-1/10*ln(13)+1/10*ln(13+5*x) revegf] A136921 30.2399 [-10/(10*x-1) lgdogf] A136921 5.08223 [{-a(n+2)+10*a(n+1),a(0)=0,a(1)=26} ogf] A136921 6.08201 [-f(x)*(10*f(x)*x-f(x)+26*x) ogf] A136926 11.9678 [-27*x/(10*x-1) ogf] A136926 12.9600 [-3/10*ln(3)+1/10*ln(27+10*x) revegf] A136926 30.2399 [-10/(10*x-1) lgdogf] A136926 5.08223 [{-a(n+2)+10*a(n+1),a(0)=0,a(1)=27} ogf] A136926 6.08201 [-f(x)*(10*f(x)*x-f(x)+27*x) ogf] A136936 5.62633 [-2*x*(276503*x^8+27000000*x^7+2700000*x^6+270000*x^5+27000*x^4+2700*x^3+270*x^2+30*x+3)/(10*x^2-1) ogf] A136950 12.2315 [f(x)*(10*f(x)*x-f(x)+64*x)^2 ogf] A136957 11.9678 [-64*x/(10*x-1) ogf] A136957 13.9569 [-1/2*ln(2)+1/10*ln(32+5*x) revegf] A136957 30.2399 [-10/(10*x-1) lgdogf] A136957 5.08223 [{-a(n+2)+10*a(n+1),a(0)=0,a(1)=64} ogf] A136957 6.08201 [-f(x)*(10*f(x)*x-f(x)+64*x) ogf] A136958 10.2264 [{a(n+3)-10*a(n+1),a(0)=0,a(1)=88,a(2)=878} ogf] A136958 13.2791 [f(x)*(10*f(x)*x^2+878*x^2-f(x)+88*x) ogf] A136958 18.1571 [-2*x*(439*x+44)/(10*x^2-1) ogf] A136958 19.5489 [1/2*(-44+(1936+878*x+10*x^2)^(1/2))/(439+5*x) revogf] A136958 20.4582 [-(439+880*x+4390*x^2)/(439*x+44)/(10*x^2-1) lgdogf] A136962 11.9678 [-76*x/(10*x-1) ogf] A136962 12.9600 [-1/10*ln(38)+1/10*ln(38+5*x) revegf] A136962 30.2399 [-10/(10*x-1) lgdogf] A136962 5.08223 [{-a(n+2)+10*a(n+1),a(0)=0,a(1)=76} ogf] A136962 6.08201 [-f(x)*(10*f(x)*x-f(x)+76*x) ogf] A136965 4.38956 [-2*x*(90410433*x^7+364345400670*x^6+14586330*x^5+36435998700*x^4+3645058503*x^3+4048444300*x^2+404844430*x+40484443)/(10*x^3-1) ogf] A137103 4.33555 [2*(970*x^6-767*x^5-133*x^4-47*x^3-23*x^2-7*x+1)/(10*x-1)/(x-1) ogf] A137120 10.6775 [6/(10*x-1)/(x-1) ogf] A137120 13.4400 [-(-11+20*x)/(10*x-1)/(-1+x) lgdogf] A137120 4.29553 [(101*f(x)+120)*(10*f(x)*x^2-11*f(x)*x+f(x)-6) ogf] A137120 4.39660 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=6,a(1)=66} ogf] A137120 7.55997 [-1/20*(-6-11*x+(12+44*x+27*x^2)^(1/2)*3^(1/2))/x revogf] A137146 3.73866 [(3453*f(x)+30950)*(10*f(x)*x^2-11*f(x)*x+f(x)+70*x-76) ogf] A137146 4.12543 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=76,a(1)=766} ogf] A137146 7.10930 [-1/20*(-76-11*x+(5776+1392*x+81*x^2)^(1/2))/(7+x) revogf] A137146 7.32473 [-2*(35*x-38)/(10*x-1)/(x-1) ogf] A137146 7.57295 [-(383-760*x+350*x^2)/(-1+x)/(35*x-38)/(10*x-1) lgdogf] A137166 10.0064 [(x^2-x+1)/(x^4-5*x^3+6*x^2-4*x+1) ogf] A137166 5.23063 [(107*f(x)+10)*(f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+x-1) ogf] A137166 9.66913 [-(-3+10*x-8*x^4+14*x^3+2*x^5-17*x^2)/(x^2-x+1)/(x^4-5*x^3+6*x^2-4*x+1) lgdogf] A137171 6.24516 [x^3*(x^4-x^3-1)*(x^8+x^6-2*x^4+1)/(2*x^4-1)/(2*x^8-2*x^4+1) ogf] A137172 6.16627 [-x*(16*x^13+8*x^12+16*x^10+8*x^9+4*x^8+2*x^7-4*x^5-6*x^4-4*x^3-3*x^2-2*x-1)/(4*x^5-1)/(2*x^5-1) ogf] A137173 12.0821 [-x*(3*x^2-x-1)/(2*x-1)/(2*x+1)/(2*x^2-1) ogf] A137173 7.29712 [(304*f(x)+253)*(8*f(x)*x^4-6*f(x)*x^2+3*x^3-x^2+f(x)-x) ogf] A137173 9.95110 [-(1+6*x-24*x^4+48*x^5-32*x^3+6*x^2)/(2*x+1)/(2*x-1)/(2*x^2-1)/(3*x^2-x-1) lgdogf] A137181 6.24256 [(2*f(x)*x-f(x)+1)^2 ogf] A137195 5.88269 [(x^3+x^2-3*x-1)^2/(x^2+2*x-1)^2/(x^2-2*x-1)^2 ogf] A137195 7.77871 [-2*(3+10*x+15*x^2-4*x^3-3*x^4+2*x^5+x^6)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3+x^2-3*x-1) lgdogf] A137199 12.7720 [(3*x^2-1)/(x+1)/(x^2+2*x-1) ogf] A137199 15.8727 [-(-1+3*x^4-6*x^2)/(x+1)/(3*x^2-1)/(x^2+2*x-1) lgdogf] A137199 6.50005 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A137199 6.80379 [(f(x)-1)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-3*x^2-f(x)+1) ogf] A137200 13.6555 [-(1+2*x+2*x^5-3*x^4+8*x^3-x^2)/(x^2+x+1)/(x^2-x+1)/(x^4+x-1) lgdogf] A137200 14.6429 [-(x^2+x+1)*(x^2-x+1)/(x^4+x-1) ogf] A137200 8.60458 [(8*f(x)+1)*(f(x)*x^4+x^4+f(x)*x+x^2-f(x)+1) ogf] A137206 10.1872 [1/14*7^(1/2)*14^(1/2)*(arcsinh(1/7*7^(1/2))+arcsinh(1/7*7^(1/2)*(-1+2*x))) revegf] A137206 15.3494 [x*(x-2)/(2*x^2-1) ogf] A137206 25.1285 [-(1-8*x+2*x^2)/(x-2)/(2*x^2-1) lgdogf] A137206 8.32198 [{a(n+3)-2*a(n+1),a(0)=0,a(1)=2,a(2)=-1} ogf] A137206 9.20966 [-(f(x)-2)*(2*f(x)*x^2-x^2-f(x)+2*x) ogf] A137208 13.0649 [-(5*x^2-x-2)/(2*x-1)/(2*x+1)/(x-1) ogf] A137208 6.87032 [-(8*f(x)+29)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+5*x^2+f(x)-x-2) ogf] A137208 7.11569 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A137212 14.5749 [x^2/(3*x-1)/(x^2+2*x-1) ogf] A137212 18.0356 [-(-5+10*x+9*x^2)/(3*x-1)/(x^2+2*x-1) lgdogf] A137212 5.96247 [{-a(n+3)+5*a(n+2)-5*a(n+1)-3*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A137212 8.09718 [3*f(x)*x^3+5*f(x)*x^2-5*f(x)*x-x^2+f(x) ogf] A137213 11.2033 [-(x-1)*x/(3*x-1)/(x^2+2*x-1) ogf] A137213 13.1003 [-2*(2-5*x-2*x^2+3*x^3)/(x-1)/(3*x-1)/(x^2+2*x-1) lgdogf] A137213 5.75305 [{a(n+3)-5*a(n+2)+5*a(n+1)+3*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A137213 5.9681 [(4*f(x)+1)*(3*f(x)*x^3+5*f(x)*x^2-5*f(x)*x+x^2+f(x)-x) ogf] A137215 3.84809 [-(100*x^5-850*x^4+1002*x^3-478*x^2+67*x-3)/(10*x-1)^3/(x-1)^3 ogf] A137221 13.7360 [x^3/(x^2-x+1)/(2*x-1)^2 ogf] A137221 20.9259 [-(5-8*x+8*x^2)/(2*x-1)/(x^2-x+1) lgdogf] A137221 3.48737 [{(2*n+4)*a(n+1)+(-3*n-5)*a(n+2)+(3*n+5)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A137221 6.7986 [-4*f(x)*x^4+8*f(x)*x^3-9*f(x)*x^2+x^3+5*f(x)*x-f(x) ogf] A137223 5.21209 [(26488*f(x)+10581)*(64*f(x)*x^3+64*f(x)*x^2-f(x)*x+60*x^2-f(x)+21*x+3) ogf] A137223 5.47937 [{-a(n+3)-a(n+2)+64*a(n+1)+64*a(n),a(0)=3,a(1)=18,a(2)=234} ogf] A137223 8.73755 [-2*(3+84*x+640*x^4+448*x^3+330*x^2)/(8*x+1)/(8*x-1)/(x+1)/(20*x^2+7*x+1) lgdogf] A137223 9.86286 [-3*(20*x^2+7*x+1)/(8*x-1)/(8*x+1)/(x+1) ogf] A137224 6.78297 [-x*(x^5+x^4+2*x^3-2*x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A137229 14.1564 [1/(x-1)/(x^3-2*x^2+3*x-1) ogf] A137229 14.7868 [-(-4+10*x-9*x^2+4*x^3)/(x-1)/(x^3-2*x^2+3*x-1) lgdogf] A137229 6.66598 [(25*f(x)+26)*(f(x)*x^4-3*f(x)*x^3+5*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A137232 10.0476 [-3*f(x)*x^3-7*f(x)*x^2+f(x)*x-x^2+f(x) ogf] A137232 18.0857 [-x^2/(3*x+1)/(x^2+2*x-1) ogf] A137232 23.7518 [-(-1+14*x+9*x^2)/(3*x+1)/(x^2+2*x-1) lgdogf] A137232 7.39869 [{-a(n+3)-a(n+2)+7*a(n+1)+3*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A137233 12.0642 [-10*f(x)*x+f(x)+5*x-5 ogf] A137233 14.6040 [5*(x-1)/(10*x-1) ogf] A137233 15.9820 [1/2+x-1/10*(25+80*x+100*x^2)^(1/2) revogf] A137233 33.9618 [9/(10*x-1)/(x-1) lgdogf] A137233 7.49934 [{a(n+2)-10*a(n+1),a(0)=5,a(1)=45} ogf] A137234 13.4692 [-1/(x^3-2*x^2+3*x-1)/(x-1)^2 ogf] A137234 14.9021 [-(-5+13*x+5*x^3-11*x^2)/(x-1)/(x^3-2*x^2+3*x-1) lgdogf] A137235 17.2163 [-(5*x-6)/(x+1)/(x-1)^2 ogf] A137235 24.1959 [-(-1-13*x+10*x^2)/(x-1)/(5*x-6)/(x+1) lgdogf] A137235 8.14699 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=1,a(2)=7} ogf] A137235 8.44872 [(499*f(x)+5560)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+5*x-6) ogf] A137241 10.9249 [-2*(-1-x+4*x^6-2*x^4+6*x^5+3*x^3-3*x^2)/(x-1)/(x^2+x+1)/(4*x^4+4*x^3-x^2-2*x-3) lgdogf] A137241 9.19547 [-x*(4*x^4+4*x^3-x^2-2*x-3)/(x-1)^2/(x^2+x+1)^2 ogf] A137246 12.2038 [(2*x-1)*(x-1)/(3*x^2-20*x+1) ogf] A137246 14.0748 [-(-17+2*x+31*x^2)/(x-1)/(2*x-1)/(3*x^2-20*x+1) lgdogf] A137246 6.21702 [{-a(n+3)+20*a(n+2)-3*a(n+1),a(0)=1,a(1)=17,a(2)=339} ogf] A137246 6.79386 [(-49+338*f(x))*(3*f(x)*x^2-20*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A137247 14.2873 [-2*(-2+6*x-9*x^2+6*x^3)/(x-1)/(3*x^3-3*x^2+3*x-1) lgdogf] A137247 14.3581 [x^3/(x-1)/(3*x^3-3*x^2+3*x-1) ogf] A137247 7.10651 [-3*f(x)*x^4+6*f(x)*x^3-6*f(x)*x^2+x^3+4*f(x)*x-f(x) ogf] A137249 4.66241 [(9129*f(x)-8089)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)-2*x+2) ogf] A137249 8.65877 [-(x^3+x^2-2*x+2)/(x+1)/(x^3-2*x^2+3*x-1) ogf] A137255 10.0197 [-(2*x^3+4*x^2-1)/(3*x^2-1)/(x^2+2*x-1) ogf] A137255 5.85151 [f(x)*(3*f(x)*x^4+6*f(x)*x^3-4*f(x)*x^2+2*x^3-2*f(x)*x+4*x^2+f(x)-1) ogf] A137255 9.44347 [-2*(1+3*x^6+16*x^4-2*x^3+12*x^5-8*x^2)/(x^2+2*x-1)/(2*x^3+4*x^2-1)/(3*x^2-1) lgdogf] A137256 11.1515 [-(x^2-x+1)/(3*x^3-3*x^2+3*x-1) ogf] A137256 11.9042 [-(2-4*x+3*x^4-6*x^3+9*x^2)/(3*x^3-3*x^2+3*x-1)/(x^2-x+1) lgdogf] A137256 6.07357 [{a(n+3)-3*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A137256 7.64314 [-3*f(x)*x^3+3*f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1 ogf] A137261 9.16351 [(5764801*x^8-5764801*x^7+28812*x^4-28812*x^3+840*x-1200)/(x-1) ogf] A137265 12.4936 [f(x)^3*x-f(x)*x^2-f(x)+1 ogf] A137280 13.3945 [-(7*x+1)/(7*x^2+3*x-1) ogf] A137280 14.3997 [1/14*(-1-3*x+(37*x^2+1+34*x)^(1/2))/(1+x) revogf] A137280 15.1382 [-(10+14*x+49*x^2)/(7*x+1)/(7*x^2+3*x-1) lgdogf] A137280 6.9282 [(11*f(x)+14)*(7*f(x)*x^2+3*f(x)*x-f(x)+7*x+1) ogf] A137280 7.26208 [{a(n+2)-3*a(n+1)-7*a(n),a(0)=1,a(1)=10} ogf] A137282 7.87273 [-(5*x^10+5*x^9+7*x^7+5*x^6+7*x^5+3*x^4+7*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A137318 4.54878 [(100*x^4+200*x^3+83*x^2+20*x+1)/(10*x-1)/(x-1)/(100*x^2+1)/(x^2+1) ogf] A137329 13.9608 [-(-3-2*x+8*x^5+32*x^3+36*x^4)/(x+2)/(x+1)/(2*x^2+2*x+1)/(2*x^2-2*x+1) lgdogf] A137329 16.1724 [x*(x+2)*(x+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A137329 9.85216 [-(424*f(x)+421)*(4*f(x)*x^4-x^3-3*x^2+f(x)-2*x) ogf] A137340 8.54783 [-(76*f(x)+653)*(3*f(x)*x^2+2*f(x)*x-f(x)+7*x+1) ogf] A137344 3.31566 [-3*(3*x+1)/(2*x-1)/(2*x+1) ogf] A137344 9.08539 [-(52*f(x)+87)*(4*f(x)*x^2-f(x)+9*x+3) ogf] A137356 11.9220 [-(x-1)^2/(x^5+x^3-3*x^2+3*x-1) ogf] A137356 13.6926 [-(-1+3*x+3*x^5-5*x^4+x^3-3*x^2)/(x-1)/(x^5+x^3-3*x^2+3*x-1) lgdogf] A137356 5.75259 [(2*f(x)^2-6*f(x)+3)*(f(x)*x^5+f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A137357 12.2307 [(x-1)*x/(x^5+x^3-3*x^2+3*x-1) ogf] A137357 12.8525 [-(-2+6*x+4*x^5-5*x^4+2*x^3-6*x^2)/(x-1)/(x^5+x^3-3*x^2+3*x-1) lgdogf] A137358 15.4146 [-x^2/(x^5+x^3-3*x^2+3*x-1) ogf] A137358 18.8290 [-(3-6*x+5*x^4+3*x^2)/(-3*x^2-1+3*x+x^5+x^3) lgdogf] A137358 6.53579 [-(3*f(x)-1)^2*(f(x)*x^5+f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)) ogf] A137359 12.7934 [-2*(-2+6*x+4*x^5-5*x^4+2*x^3-6*x^2)/(x-1)/(x^5+x^3-3*x^2+3*x-1) lgdogf] A137359 6.63074 [x^5*(x-1)^2/(x^5+x^3-3*x^2+3*x-1)^2 ogf] A137360 12.5935 [-(-5+15*x+9*x^5-10*x^4+5*x^3-15*x^2)/(x-1)/(x^5+x^3-3*x^2+3*x-1) lgdogf] A137360 7.06775 [-x^6*(x-1)/(x^5+x^3-3*x^2+3*x-1)^2 ogf] A137361 18.3178 [-2*(3-6*x+5*x^4+3*x^2)/(-3*x^2-1+3*x+x^5+x^3) lgdogf] A137361 8.74527 [x^7/(x^5+x^3-3*x^2+3*x-1)^2 ogf] A137392 4.22842 [(25*f(x)-314)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x+11*x^2+f(x)+10*x-9) ogf] A137392 6.61495 [2*(1+5*x+21*x^6+9*x^5-26*x^3+6*x^7-30*x^4+3*x^2)/(1+x)/(x^2+x-1)/(6*x^5+12*x^4+2*x^3-4*x^2+x-1) lgdogf] A137392 7.98039 [-(11*x^2+10*x-9)/(x^2+x-1)^2 ogf] A137398 7.97626 [4*f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x+4*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A137399 10.6290 [-(2+4*x+4*x^6+16*x^5+24*x^4+16*x^3+3*x^2)/(x+1)/(1+x^2+x)/(2*x^2-1)/(1+2*x^2) lgdogf] A137399 14.6256 [-(x+1)*(x^2+x+1)/(2*x^2-1)/(2*x^2+1) ogf] A137399 9.16109 [-(720*f(x)-487)*(4*f(x)*x^4+x^3+2*x^2-f(x)+2*x+1) ogf] A137402 8.96708 [-(1-2*x+x^8-2*x^7+5*x^6-2*x^5-5*x^4+6*x^3)/(x^4-x^3+2*x^2-2*x+1)/(x^5+x^3-3*x^2+3*x-1) lgdogf] A137402 9.24375 [-(x^4-x^3+2*x^2-2*x+1)/(x^5+x^3-3*x^2+3*x-1) ogf] A137403 3.96383 [-(10*x^14+10*x^13+15*x^12+5*x^11-3*x^10+2*x^9-x^8+x^7-x^4-x^3+2*x^2+x+2)/(x-1)/(5*x^12+1) ogf] A137410 10.0832 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=11} ogf] A137410 18.5980 [(5*x+1)/(5*x-1)/(x-1) ogf] A137410 7.45959 [-1/10*(-1-6*x+(1+32*x+16*x^2)^(1/2))/(x-1) revogf] A137410 7.64153 [-(-11+10*x+25*x^2)/(-1+x)/(5*x+1)/(5*x-1) lgdogf] A137410 9.59125 [(116*f(x)+115)*(5*f(x)*x^2-6*f(x)*x+f(x)-7*x+1) ogf] A137426 10.6551 [2*f(x)*x^3-f(x)*x-2*x^2-f(x)+x ogf] A137426 14.5693 [x*(2*x-1)/(x-1)/(2*x^2+2*x+1) ogf] A137426 17.2763 [-(3+8*x^3-6*x^2)/(-1+x)/(2*x-1)/(2*x^2+2*x+1) lgdogf] A137426 7.67629 [{-a(n+3)-a(n+2)+2*a(n),a(0)=0,a(1)=1,a(2)=-3} ogf] A137429 18.1373 [-(2*x-1)/(2*x^2+2*x+1) ogf] A137429 22.0030 [-1/4*(-1+2*x+(1-12*x-4*x^2)^(1/2))/(1+x) revogf] A137429 9.06867 [-(f(x)+63)*(2*f(x)*x^2+2*f(x)*x+f(x)+2*x-1) ogf] A137429 9.95341 [{a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=-4} ogf] A137444 16.5873 [(2*x+1)/(2*x^2-2*x+1) ogf] A137444 20.1461 [-1/4*(-1-2*x+(1+12*x-4*x^2)^(1/2))/(x-1) revogf] A137444 23.0241 [-4*(-1+x+x^2)/(2*x+1)/(2*x^2-2*x+1) lgdogf] A137444 8.6794 [(f(x)+63)*(2*f(x)*x^2-2*f(x)*x+f(x)-2*x-1) ogf] A137444 9.10278 [{-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=4} ogf] A137445 14.8985 [-(4*x-3)/(2*x^2-2*x+1) ogf] A137445 18.6935 [-1/4*(-3-2*x+(9-4*x-4*x^2)^(1/2))/(2+x) revogf] A137445 19.1855 [-2*(1-6*x+4*x^2)/(4*x-3)/(2*x^2-2*x+1) lgdogf] A137445 7.79572 [(3*f(x)-13)*(2*f(x)*x^2-2*f(x)*x+f(x)+4*x-3) ogf] A137445 8.17599 [{a(n+2)-2*a(n+1)+2*a(n),a(0)=3,a(1)=2} ogf] A137447 12.8694 [-(2*x+1)*(6*x^2-2*x-1)/(2*x^2-1)/(2*x^2+1) ogf] A137447 8.78151 [(5*f(x)+84)*(4*f(x)*x^4+12*x^3+2*x^2-f(x)-4*x-1) ogf] A137447 9.75371 [-4*(-1+x+12*x^6+4*x^5-12*x^4-4*x^3+9*x^2)/(2*x+1)/(6*x^2-2*x-1)/(2*x^2-1)/(1+2*x^2) lgdogf] A137453 5.85757 [-(76*x^13-76*x^12-48*x^11+72*x^10-20*x^9+38*x^8+6*x^7+16*x^6+14*x^5+2*x^4+8*x^3-2*x^2+7*x+2)/(x-1) ogf] A137466 13.1611 [(20*x+1)/(100*x-1)/(x-1) ogf] A137466 13.2087 [-1/40*(-1-101*x+(1+282*x+9801*x^2)^(1/2))/(5*x-1) revogf] A137466 13.4838 [-(-121+200*x+2000*x^2)/(-1+x)/(100*x-1)/(20*x+1) lgdogf] A137466 6.78408 [(12021*f(x)+2620)*(100*f(x)*x^2-101*f(x)*x+f(x)-20*x-1) ogf] A137466 7.47791 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=1,a(1)=121} ogf] A137470 13.5145 [-(2*x+1)/(x-1)/(2*x^2+2*x+1) ogf] A137470 15.0706 [-(1+8*x^3+6*x^2)/(x-1)/(1+2*x)/(2*x^2+2*x+1) lgdogf] A137470 6.46969 [{-a(n+3)-a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A137470 7.15472 [(f(x)+1)*(2*f(x)*x^3-f(x)*x-f(x)+2*x+1) ogf] A137480 10.0309 [-(32*f(x)-237)*(4*f(x)*x^2-f(x)+21*x+12) ogf] A137480 11.5507 [{-a(n+2)+4*a(n),a(0)=12,a(1)=21} ogf] A137480 17.7290 [-3*(7*x+4)/(2*x-1)/(2*x+1) ogf] A137482 10.1299 [3-3*x+3*x^3+3*x^2+(-2-x+x^3+4*x^2)*f(x)+(-1+x^2)*f(x)^2 lgdegf] A137482 3.31158 [{(n^2+6*n+8)*a(n+1)-a(n+2)+(n+3)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=2} ogf] A137483 15.6859 [-2*(4*x-1)/(9*x-1)/(x-1) ogf] A137483 7.67608 [-(253*f(x)-218)*(9*f(x)*x^2-10*f(x)*x+f(x)+8*x-2) ogf] A137483 8.58989 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=2,a(1)=12} ogf] A137495 16.2662 [(x-2)/(x^3-x^2+2*x-1) ogf] A137495 21.1890 [-(x-3)*(2*x^2-x+1)/(x-2)/(x^3-x^2+2*x-1) lgdogf] A137495 7.69740 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=4} ogf] A137495 7.98248 [-(3*f(x)+34)*(f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)-x+2) ogf] A137500 9.86767 [6*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+x^2-f(x) ogf] A137501 11.5133 [f(x)*x^3+f(x)*x^2-f(x)*x+2*x^2-f(x) ogf] A137501 20.7240 [-2*x^2/(x-1)/(x+1)^2 ogf] A137501 44.2704 [[-1+2*x] ogf_with_Euler_transform] A137501 53.9686 [-(3*x-1)/(x-1)/(x+1) lgdogf] A137501 8.47798 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A137505 12.388 [-2*f(x)*x^3+f(x)*x-x^2+f(x)-2*x-1 ogf] A137505 16.5953 [-(x+1)^2/(x-1)/(2*x^2+2*x+1) ogf] A137505 21.7588 [-(1+x+6*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2+2*x+1) lgdogf] A137505 9.45754 [{-a(n+3)-a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=0} ogf] A137506 7.21557 [(22*x^9+26*x^7-83*x^5-17*x^4-24*x^3+124*x^2+59*x+141)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A137517 10.4002 [-(12*x-11)*(10*x-11)/(x-1)^3 ogf] A137517 17.0498 [-(121-244*x+120*x^2)/(-1+x)/(12*x-11)/(10*x-11) lgdogf] A137517 5.75881 [(35*f(x)+2109)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+120*x^2-f(x)-242*x+121) ogf] A137517 5.90522 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=121,a(1)=121,a(2)=120} ogf] A137529 3.08077 [(10*f(x)-1)*(8*f(x)*x^4+4*x^3+4*x^2-f(x)+3*x+1) ogf] A137529 4.54007 [-(2*x+1)*(2*x^2+x+1)/(8*x^4-1) ogf] A137531 14.8374 [-(x+1)/(x^3-2*x^2+3*x-1) ogf] A137531 15.3059 [-(x+2)*(2*x^2-3*x+2)/(x+1)/(x^3-2*x^2+3*x-1) lgdogf] A137531 6.95915 [{-a(n+3)+3*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A137531 7.48936 [(27*f(x)+37)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x-f(x)+x+1) ogf] A137566 11.3433 [-(x^3-x-1)/(x^4+x^3-x-1) ogf_with_Euler_transform] A137569 16.1112 [-(-x-1)/(x^3-1) ogf_with_Euler_transform] A137575 10.8972 [-(14*x^28+10*x^10+6*x^2+x+1)/(x-1) ogf] A137575 8.33667 [2*(-1-6*x-50*x^9+45*x^10+3*x^2-196*x^27+189*x^28)/(x-1)/(14*x^28+10*x^10+6*x^2+x+1) lgdogf] A137584 6.67369 [-(58*f(x)+99)*(f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-3*x^2-f(x)+3*x) ogf] A137584 8.58498 [-x*(17*x^5-27*x^4+40*x^3+x^2-3*x+3)/(x^3-2*x^2+3*x-1) ogf] A137591 10.3053 [2*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-x^2+2*x-1 egf] A137591 3.56174 [{(-2*n^3-6*n^2-4*n)*a(n)+(2*n^3+18*n^2+40*n+24)*a(n+1)+(-4*n^2-23*n-31)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A137591 33.0833 [-1/(-1+x)/(2*x^2-4*x+1) lgdegf] A137591 36.2341 [1-(1-2*x+2*x^2)^(1/2) revegf] A137635 16.2280 [-2*(x+1)*(1+3*x)/(8*x^2-1+4*x+4*x^3) lgdogf] A137635 8.94563 [-4*f(x)^2*x^3-8*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A137644 6.72706 [4*f(x)^3*x^3-4*f(x)^3*x^2+36*f(x)^3*x-5*f(x)^3-3*f(x)*x+4*f(x)+1 ogf] A137667 5.27707 [x*(92*x^10+2*x^9-98*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(10*x^4-1)/(10*x^4+1) ogf] A137676 6.60243 [-(x^6+x^3+1)/(x^8+x^7+x^6+x^5-x^3-x^2-x-1) ogf_with_Euler_transform] A137677 6.14319 [-(x^4+x^3+x^2)/(x^8+x^7+x^6+x^5-x^3-x^2-x-1) ogf_with_Euler_transform] A137685 12.2584 [-(x^5+2*x^4+2*x^3+2*x+2)/(x^6-1) ogf_with_Euler_transform] A137693 3.82545 [-(13430973193759665*f(x)+15622176419104)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x-x^2-f(x)-198*x+7) ogf] A137693 4.57850 [{a(n+3)-1155*a(n+2)+1155*a(n+1)-a(n),a(0)=7,a(1)=7887,a(2)=9101399} ogf] A137693 8.42709 [(x^2+198*x-7)/(x-1)/(x^2-1154*x+1) ogf] A137694 3.80141 [(1719164568825291168*f(x)-977254097712433)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x+x^2-f(x)-198*x+5) ogf] A137694 4.51980 [{-a(n+3)+1155*a(n+2)-1155*a(n+1)+a(n),a(0)=5,a(1)=5577,a(2)=6435661} ogf] A137694 8.31904 [-(x^2-198*x+5)/(x-1)/(x^2-1154*x+1) ogf] A137697 5.63377 [-1/18+8/9*x-8/9*x^2+1/18*(-(-1-8*x+8*x^2)*(-1+2*x)^2)^(1/2) revogf] A137711 2.68885 [-(2*f(x)*x-f(x)+x+1)^3 ogf] A137717 13.8316 [-(2*x-1)/(4*x^2+2*x+1) ogf] A137717 14.9495 [-1/4*(-1+2*x+(1-12*x-12*x^2)^(1/2))/(1+2*x) revogf] A137717 16.4827 [-4*(-1-2*x+2*x^2)/(2*x-1)/(4*x^2+2*x+1) lgdogf] A137717 6.91577 [-(3*f(x)-19)*(4*f(x)*x^2+2*f(x)*x+f(x)+2*x-1) ogf] A137717 7.59049 [{a(n+2)+2*a(n+1)+4*a(n),a(0)=1,a(1)=-4} ogf] A137718 7.54179 [-4*f(x)*x^4-2*f(x)*x^2-4*x^3+4*x^2-f(x)-4*x+1 ogf] A137718 8.44175 [-4*(-1+x+4*x^6-8*x^5+10*x^4-4*x^3-x^2)/(4*x^3-4*x^2+4*x-1)/(4*x^4+2*x^2+1) lgdogf] A137718 9.16618 [-(4*x^3-4*x^2+4*x-1)/(4*x^4+2*x^2+1) ogf] A137719 11.9656 [-(2*x+1)*(2*x^3+6*x^2+3*x+1)/(x-1)/(x+2)/(x+1)/(x^2+x+1) lgdogf] A137719 13.1882 [x*(x+2)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A137720 23.3464 [-(6*x-1)/(-1+4*x)/(-1+3*x) lgdogf] A137720 3.61425 [{(n+3)*a(n+3)+(-15-7*n)*a(n+2)+(18+12*n)*a(n+1),a(0)=1,a(1)=1,a(2)=1} ogf] A137720 8.25345 [9*f(x)^2*x^2-6*f(x)^2*x+f(x)^2+4*x-1 ogf] A137725 7.64353 [(2+10*x+13*x^5+x^8-6*x^6-19*x^2-x^10-11*x^3+9*x^4+x^11-3*x^9+12*x^7)/(x-1)/(x+1)/(x^3+x-1)/(x^7+2*x^5-4*x^4-5*x^3+4*x^2-2*x+2) lgdogf] A137725 9.59129 [-2*(x^7+2*x^5-4*x^4-5*x^3+4*x^2-2*x+2)/(x+1)/(x^3+x-1)/(x-1)^2 ogf] A137726 7.22057 [(2+10*x+x^11+13*x^5+12*x^7+x^8-6*x^6-19*x^2-11*x^3+9*x^4-3*x^9-x^10)/(x-1)/(x+1)/(x^3+x-1)/(x^7+2*x^5-4*x^4-5*x^3+4*x^2-2*x+2) lgdogf] A137726 9.15859 [-(x^7+2*x^5-4*x^4-5*x^3+4*x^2-2*x+2)/(x+1)/(x^3+x-1)/(x-1)^2 ogf] A137739 4.91094 [(x^10+3*x^9-6*x^8-26*x^7+221*x^5-370*x^4+162*x^3+72*x^2-57*x-1)/(x-1)^7 ogf] A137740 5.76211 [(x^8+2*x^7-7*x^6-20*x^5+57*x^4-20*x^3-39*x^2+26*x+1)/(x-1)^6 ogf] A137741 7.14925 [(x^6+x^5-8*x^4+x^3+16*x^2-11*x-1)/(x-1)^5 ogf] A137741 9.91387 [(16+12*x+x^6-6*x^5+3*x^4+30*x^3-51*x^2)/(-1+x)/(x^6+x^5-8*x^4+x^3+16*x^2-11*x-1) lgdogf] A137742 10.9887 [(x^4-5*x^2+4*x+1)/(x-1)^4 ogf] A137742 18.4626 [-2*(4+x+2*x^3-5*x^2)/(-1+x)/(x^4-5*x^2+4*x+1) lgdogf] A137742 6.00092 [(103*f(x)-643)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-4*f(x)*x+5*x^2+f(x)-4*x-1) ogf] A137775 4.14447 [{(3*n+6)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A137775 54.2227 [-3*x/(x-1) lgdegf] A137786 12.0652 [(14*x^2-8*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A137786 6.32925 [-(83*f(x)+1337)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x-14*x^2-f(x)+8*x-1) ogf] A137786 6.77342 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=-1,a(1)=-1,a(2)=3} ogf] A137787 4.84074 [(49*f(x)-1439)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2-106*x^3-14*f(x)*x+90*x^2+f(x)-24*x+2) ogf] A137787 8.40175 [2*(53*x^3-45*x^2+12*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A137788 6.88143 [2*(1080*x^4-1164*x^3+444*x^2-71*x+4)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A137789 4.23791 [(488880*x^5-572076*x^4+231460*x^3-36445*x^2+1178*x+127)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A137790 3.79167 [(23345280*x^6-29177136*x^5+12543396*x^4-1855156*x^3-112345*x^2+54310*x-3761)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A137797 6.80150 [-(2+12*x+38*x^6+28*x^5+30*x^7+10*x^4+6*x^3+9*x^8+15*x^2)/(x-1)/(x+1)/(3*x^3+6*x^2+4*x+2)/(x^4+x^3+x^2+x+1) lgdogf] A137797 8.62081 [-2*x*(3*x^3+6*x^2+4*x+2)/(x^4+x^3+x^2+x+1)/(x-1)/(x+1) ogf] A137798 10.6198 [2*x^2*(3*x^3+6*x^2+4*x+2)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A137798 7.98676 [-(4+20*x+60*x^6+40*x^4+33*x^3+56*x^5+33*x^2+42*x^7+12*x^8)/(x-1)/(x+1)/(3*x^3+6*x^2+4*x+2)/(x^4+x^3+x^2+x+1) lgdogf] A137823 8.35118 [-(9*x^5+12*x^4+3*x^3-3*x^2-2*x-1)/(x-1)/(9*x^3-1)/(x^2+x+1) ogf] A137824 14.0607 [-(3+4*x+8*x^4+24*x^3+12*x^2)/(1+2*x)/(x+1)/(4*x^3-1) lgdogf] A137824 15.2185 [-(x+1)*(2*x+1)/(4*x^3-1) ogf] A137824 9.43931 [-(3*f(x)+1)*(4*f(x)*x^3+2*x^2-f(x)+3*x+1) ogf] A137824 9.81192 [{a(n+3)-4*a(n),a(0)=1,a(1)=3,a(2)=2} ogf] A137828 12.1118 [-(-x^3-2*x^2+3*x-2)/(-x^4+1) ogf_with_Euler_transform] A137828 99.9999 Evaluated at exp(-Pi) 2*exp(-1/3*Pi)/Pi^(1/4)*2^(3/4)*GAMMA(3/4) A137829 13.3577 [-(-x^2-x-2)/(-x^3+x^2-x+1) ogf_with_Euler_transform] A137829 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/6*Pi)/Pi^(1/4)*2^(1/2)*GAMMA(3/4) A137830 10.9182 [-(-x^3+2*x^2+x+2)/(-x^4+1) ogf_with_Euler_transform] A137830 99.9999 Evaluated at exp(-Pi) 2*exp(-1/3*Pi)/Pi^(1/4)*2^(1/2)*GAMMA(3/4) A137842 14.2914 [-1/2*(-4-x+(x^2*(4*x+1))^(1/2))/(2+2*x+x^2)*x revogf] A137842 6.02242 [f(x)^3*x-f(x)^2*x^2+f(x)^2*x-2*f(x)^2-2*f(x)*x+4*f(x)-2 ogf] A137864 13.9185 [-(3-8*x+6*x^2+96*x^3+23*x^4)/(x-1)/(23*x^4+2*x^3-2*x+1) lgdogf] A137864 8.86317 [-(23*x^4+2*x^3-2*x+1)/(x-1)^5 ogf] A137878 5.37313 [-(x^4+17688*x^3+128214*x^2+17688*x+1)/(x-1)/(x^2-482*x+1)/(x^2+482*x+1) ogf] A137879 4.78791 [(456074210592*f(x)+108847615259)*(f(x)*x^4-482*f(x)*x^2-x^3-133*x^2+f(x)-133*x-1) ogf] A137879 6.31570 [-(-133-1230*x+x^6+266*x^5+881*x^4+4*x^3-64109*x^2)/(x+1)/(x^2-22*x+1)/(x^2+22*x+1)/(x^2+132*x+1) lgdogf] A137879 8.69915 [(x+1)*(x^2+132*x+1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A137880 6.81097 [-(x^4+48*x^3-306*x^2+48*x+1)/(x-1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A137881 10.7447 [-(7+30*x+x^6+14*x^5+151*x^2-4*x^3+x^4)/(x-1)/(x^2+8*x+1)/(x^4-22*x^2+1) lgdogf] A137881 11.7538 [-(x-1)*(x^2+8*x+1)/(x^4-22*x^2+1) ogf] A137881 7.24999 [(2184*f(x)-811)*(f(x)*x^4-22*f(x)*x^2+x^3+7*x^2+f(x)-7*x-1) ogf] A137882 17.2330 [-2*(x^3-x^2+x+1)/(x-1)^3 ogf] A137882 39.0835 [-2*(2+x^2)/(x-1)/(x^3-x^2+x+1) lgdogf] A137882 8.87373 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=2,a(1)=8,a(2)=16,a(3)=28} ogf] A137882 9.909 [(3*f(x)+26)*(f(x)*x^3-3*f(x)*x^2+2*x^3+3*f(x)*x-2*x^2-f(x)+2*x+2) ogf] A137883 7.36043 [-8*(3*x^5-5*x^4-5*x^3+10*x^2-9)/(x+1)^2/(x-1)^4 ogf] A137883 9.35285 [-(-18-34*x+3*x^6-4*x^5-10*x^4+10*x^3+5*x^2)/(-1+x)/(x+1)/(3*x^5-5*x^4-5*x^3+10*x^2-9) lgdogf] A137885 11.2117 [-48*(4*x^2-6*x+3)/(2*x-1)^3 ogf] A137885 6.35329 [(3*f(x)-112)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+192*x^2-f(x)-288*x+144) ogf] A137885 6.35329 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=144,a(1)=576,a(2)=1920} ogf] A137889 4.31731 [-(4805*f(x)+9272772)*(192*f(x)*x^4-316*f(x)*x^3+147*f(x)*x^2+360*x^3-24*f(x)*x-402*x^2+f(x)+108*x-6) ogf] A137889 7.81912 [-6*(60*x^3-67*x^2+18*x-1)/(x-1)/(4*x-1)/(3*x-1)/(16*x-1) ogf] A137904 8.44194 [-(32*x^29-32*x^28+18*x^11-18*x^10+8*x^3-8*x^2-1)/(x-1)^2 ogf] A137913 6.94879 [2*(2+234*x^25-459*x^26+225*x^27-x+32*x^7-60*x^8+28*x^9)/(x-1)/(18*x^27-18*x^26+8*x^9-8*x^8+2*x-3) lgdogf] A137913 8.52191 [-(18*x^27-18*x^26+8*x^9-8*x^8+2*x-3)/(x-1)^2 ogf] A137928 15.7419 [-2*(x^2+1)/(x+1)/(x-1)^3 ogf] A137928 23.1949 [-2*(1+3*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A137928 30.7924 [[-x^3+2*x+2] ogf_with_Euler_transform] A137928 8.23198 [(23*f(x)-64)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+2) ogf] A137930 14.3060 [-2*(5+10*x+3*x^4+14*x^2)/(x-1)/(x+1)/(3*x^3-3*x^2+7*x+1) lgdogf] A137930 9.12830 [x*(3*x^3-3*x^2+7*x+1)/(x+1)/(x-1)^4 ogf] A137931 10.9907 [2*x*(3*x+5)*(x+1)/(x-1)^4 ogf] A137931 21.4029 [-2*(14+15*x+3*x^2)/(3*x+5)/(x-1)/(x+1) lgdogf] A137931 4.08070 [{(15+5*n)*a(n+4)+(-22+3*n)*a(n+3)+(-35-5*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=10,a(2)=56,a(3)=170} ogf] A137931 5.5696 [(1355264*f(x)+10599305)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-16*x^2+f(x)-10*x) ogf] A137932 11.181 [f(x)*x^4-2*f(x)*x^3+4*x^3+2*f(x)*x-f(x) ogf] A137932 20.1257 [-4*x^3/(x+1)/(x-1)^3 ogf] A137932 40.9841 [-2*(2*x+1)/(x-1)/(x+1) lgdogf] A137932 42.9290 [[2+x] ogf_with_Euler_transform] A137932 6.70857 [{-n*a(n+3)+2*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=4} ogf] A137933 10.9382 [-2*(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^3/(x+1)^3 ogf] A137933 12.7699 [-2*(1+9*x+x^5+3*x^4+14*x^3+8*x^2)/(x-1)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A137933 6.69351 [{(n^2+8*n+16)*a(n+1)+(-n^2-4*n-4)*a(n+3),a(0)=2,a(1)=4,a(2)=18} ogf] A137934 10.7512 [-(1+2*x+3*x^8+5*x^6+6*x^5+4*x^3+2*x^9+4*x^7+3*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A137934 15.4472 [-2*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A137934 30.3700 [[x^5-x^4+1] ogf_with_Euler_transform] A137935 10.7486 [x*(31*x^4+5*x^3+5*x^2+5*x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A137935 7.83113 [-2*(5+10*x+31*x^8+28*x^6+33*x^5+38*x^4+72*x^3+23*x^7+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(31*x^4+5*x^3+5*x^2+5*x+5) lgdogf] A137936 11.1623 [-x*(19*x^4-5*x^3-5*x^2-5*x-5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A137936 8.27849 [-2*(-5-10*x+28*x^3-13*x^4-8*x^5-3*x^6+2*x^7+19*x^8-15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(19*x^4-5*x^3-5*x^2-5*x-5) lgdogf] A137937 7.73875 [-x^2*(18*x^27-18*x^26+8*x^9-8*x^8+2*x-3)/(x-1)^2 ogf] A137947 5.46117 [(-13+756*x^8-864*x^7-114048*x^12+114048*x^13-10368*x^11)/(-1+x)/(9504*x^13+864*x^12+108*x^8+10*x+3) lgdogf] A137947 7.81011 [-(9504*x^13+864*x^12+108*x^8+10*x+3)/(x-1) ogf] A137976 3.15112 [-(x^3+x^2+13*x+3)/(x^4+11*x^2-1) ogf] A137979 15.7348 [(x^103+x^102-1)/(x^102+x-1) ogf] A137979 23.7238 [(-1+104*x^101+104*x^102)/(-1+x+104*x^101) lgdogf] A137979 76.0965 [[1] ogf_with_Euler_transform] A138003 11.9361 [-(2*x-1)*(x^2+1)*(x^2-2*x+2)/(x^2-x+1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A138003 6.26572 [f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1 ogf] A138003 9.71639 [(x^2-x+1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A138014 34.6844 [exp(x)-exp(x^2) revegf] A138017 2.50327 [-(7*f(x)+33)*(6*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+6*x^2+f(x)-1) ogf] A138017 4.91870 [-(6*x^2-1)/(3*x-1)/(2*x^2-1) ogf] A138017 6.10919 [-(3-8*x+36*x^4)/(-1+3*x)/(6*x^2-1)/(2*x^2-1) lgdogf] A138019 10.8015 [(x+1)*(x^2+x+1)/(x^4+x^3+x^2+x+1) ogf] A138019 16.6838 [-(-1-2*x+4*x^5+x^6+6*x^3+7*x^4)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A138019 22.4292 [[x^4-x^2-x+1] ogf_with_Euler_transform] A138019 5.8987 [-(3*f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x-2*x^2+f(x)-2*x-1) ogf] A138020 5.45306 [x*(-1+11*x^2+77*x^6-44*x^4-55*x^8+11*x^10)/(1+2*x)/(x^5+3*x^4-3*x^3-4*x^2+x+1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) revogf] A138020 9.37126 [-1-2*f(x)*x+f(x)^2-2*f(x)^3*x ogf] A138034 14.7954 [-f(x)*x^2+f(x)*x+3*x^2-f(x)+1 ogf] A138034 20.2305 [(3*x^2+1)/(x^2-x+1) ogf] A138034 34.5723 [-(-1-4*x+3*x^2)/(x^2-x+1)/(3*x^2+1) lgdogf] A138034 9.71856 [{-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A138035 9.23183 [-1/41*(-3600-41*x-3742*x^2+60*(3600+7320*x^2+3885*x^4)^(1/2))/x lgdegf] A138041 12.8546 [-(6*x+1)/(6*x^2+4*x-1) ogf] A138041 13.8117 [1/12*(-4*x-1+(40*x^2+32*x+1)^(1/2))/(1+x) revogf] A138041 14.5200 [-2*(5+6*x+18*x^2)/(6*x+1)/(6*x^2+4*x-1) lgdogf] A138041 6.64896 [(13*f(x)+12)*(6*f(x)*x^2+4*f(x)*x-f(x)+6*x+1) ogf] A138041 6.96939 [{a(n+2)-4*a(n+1)-6*a(n),a(0)=1,a(1)=10} ogf] A138053 4.16396 [-x*(19440*x^4+2160*x^3-2304*x^2-150*x+55)/(6*x-1)/(15*x-1)/(3*x+1)/(6*x+1)/(12*x^2-1) ogf] A138055 7.93034 [-(5*x^6+4*x^5-3*x^4+6*x^3+3*x^2+2*x+1)/(x-1)/(x^2+1)/(x^4+1) ogf] A138100 7.58531 [-(18*x^29-18*x^28+8*x^11-8*x^10+2*x^3-2*x^2-1)/(x-1)^2 ogf] A138101 8.18868 [-(32*x^29-32*x^28+18*x^11-18*x^10+8*x^3-8*x^2+2*x-3)/(x-1)^2 ogf] A138102 11.6118 [-2*(x^2+1)*(7*x^26-7*x^24+7*x^22-7*x^20+7*x^18-7*x^16+7*x^14-7*x^12+7*x^10-2*x^8+2*x^6-2*x^4+2*x^2+1)/(x-1) ogf] A138110 4.86609 [-x^3*(x-1)*(x^14+x^12+2*x^10-x^9+x^8-2*x^5+x^4+1)/(x^20-2*x^15+4*x^10-3*x^5+1) ogf] A138112 14.5693 [x^3/(x^4-2*x^3+4*x^2-3*x+1) ogf] A138112 17.3070 [-(2*x-1)*(2*x^2-2*x+3)/(4*x^2+1-3*x+x^4-2*x^3) lgdogf] A138112 7.21106 [f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2-x^3-3*f(x)*x+f(x) ogf] A138118 3.45388 [(122222221*f(x)+295848200)*(10000*f(x)*x^2-1010*f(x)*x+f(x)-1000*x-10) ogf] A138118 6.51077 [-10*(-111+2000*x+100000*x^2)/(100*x+1)/(1000*x-1)/(10*x-1) lgdogf] A138118 7.40441 [-1/200*(-1-101*x+(1+242*x+9801*x^2)^(1/2))/(10*x-1) revogf] A138119 3.94729 [(11111*f(x)+35300)*(100000*f(x)*x^2-1100*f(x)*x+f(x)-10) ogf] A138119 8.20923 [-1/20000*(-1-110*x+(8100*x^2+220*x+1)^(1/2))/x revogf] A138119 9.93749 [-100*(-11+2000*x)/(1000*x-1)/(100*x-1) lgdogf] A138123 8.02968 [-(1+6*x+2*x^11+10*x^6+8*x^5-2*x^2+2*x^3+11*x^4+9*x^8+8*x^7)/(x+1)/(x^2-x+1)/(x^5+2*x^2+x+1)/(x^4+x^2-1) lgdogf] A138123 8.55671 [-(x^5+2*x^2+x+1)/(x+1)/(x^2-x+1)/(x^4+x^2-1) ogf] A138127 11.993 [-f(x)*x^2+2*f(x)*x-f(x)+127*x ogf] A138127 18.7583 [127*x/(x-1)^2 ogf] A138127 21.8313 [508*x/(127+(16129+508*x)^(1/2))^2 revogf] A138127 55.9007 [[2] ogf_with_Euler_transform] A138127 8.81413 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=127} ogf] A138127 90.0541 [-2/(x-1) lgdogf] A138128 17.3944 [-1/(127*x-1) ogf] A138128 22.9489 [1/127*ln(1+127*x) revegf] A138128 26.0087 [-127/(-1+127*x) lgdogf] A138128 7.40872 [{a(n+1)-127*a(n),a(0)=1} ogf] A138128 9.30395 [-127*f(x)*x+f(x)-1 ogf] A138129 11.2047 [-f(x)*x^2+2*f(x)*x-f(x)+1729*x ogf] A138129 17.3673 [1729*x/(x-1)^2 ogf] A138129 18.0030 [6916*x/(1729+(2989441+6916*x)^(1/2))^2 revogf] A138129 52.9855 [[2] ogf_with_Euler_transform] A138129 8.27015 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1729} ogf] A138129 85.5142 [-2/(x-1) lgdogf] A138130 13.2717 [-1729*f(x)*x+f(x)-1 ogf] A138130 19.3902 [1/1729*ln(1+1729*x) revegf] A138130 21.6714 [-1729/(-1+1729*x) lgdogf] A138134 12.8428 [5*x/(x-1)/(x^2+11*x-1) ogf] A138134 16.5216 [-(-12+20*x+3*x^2)/(x-1)/(x^2+11*x-1) lgdogf] A138134 5.29482 [{a(n+3)-12*a(n+2)+10*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=60} ogf] A138134 5.48736 [-(1241*f(x)+100)*(f(x)*x^3+10*f(x)*x^2-12*f(x)*x+f(x)-5*x) ogf] A138144 10.4708 [-(10*x^2-1)*(10*x^2+1)/(10*x-1)/(x-1) ogf] A138144 4.02138 [{10*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=111,a(3)=1111,a(4)=11011} ogf] A138144 5.49457 [-(243*f(x)+242)*(100*x^4+10*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A138144 7.44369 [(-11+20*x+400*x^3-3300*x^4+2000*x^5)/(x-1)/(10*x-1)/(10*x^2-1)/(10*x^2+1) lgdogf] A138145 10.2769 [-(10*x^2-1)*(100*x^4+10*x^2+1)/(10*x-1)/(x-1) ogf] A138145 3.20781 [{a(n+3)-11*a(n+2)+10*a(n+1),a(0)=1,a(1)=11,a(2)=111,a(3)=1111,a(4)=11111,a(5)=111111,a(6)=1110111} ogf] A138145 6.46892 [(-11+20*x+6000*x^5-55000*x^6+40000*x^7)/(x-1)/(10*x-1)/(10*x^2-1)/(100*x^4+10*x^2+1) lgdogf] A138146 5.41234 [-(10*x+1)*(10*x-1)*(100*x^2+10*x+1)/(100*x-1)/(x-1) ogf] A138147 10.3745 [-1/200*(-1-11*x+(1+22*x+81*x^2)^(1/2))/x revogf] A138147 12.2053 [-10*(-11+200*x)/(100*x-1)/(10*x-1) lgdogf] A138147 15.3607 [10/(100*x-1)/(10*x-1) ogf] A138147 6.30596 [(11111*f(x)+35300)*(1000*f(x)*x^2-110*f(x)*x+f(x)-10) ogf] A138147 6.58315 [{-a(n+2)+110*a(n+1)-1000*a(n),a(0)=10,a(1)=1100} ogf] A138148 3.14093 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=101,a(2)=11011} ogf] A138148 4.55103 [(72159140862171*f(x)-2156365542200)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-200*x^2-f(x)+101*x) ogf] A138148 5.69009 [x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A138156 3.39534 [{(-16*n^2-88*n-120)*a(n+1)+(8*n^2+50*n+70)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=2,a(2)=14} ogf] A138156 5.2979 [16*f(x)^2*x^4-8*f(x)^2*x^3+f(x)^2*x^2-24*f(x)*x^2+14*f(x)*x-2*f(x)+4*x ogf] A138164 6.44608 [f(x)^3*x^2-3*f(x)^3*x+f(x)^3+3*f(x)^2*x-f(x)^2-f(x)+1 ogf] A138175 8.12163 [8*f(x)^3*x-3*f(x)^3+f(x)^2+3*f(x)-1 ogf] A138179 7.80840 [-(x^4-2*x^3-4*x^2-6*x-1)/(x+1)^2/(x-1)^4 ogf] A138179 8.05207 [-2*(-24-37*x-7*x^5-10*x^4+24*x^3+4*x^6+2*x^2)/(x-1)/(x+1)/(8*x^5-15*x^4-10*x^3+32*x^2-6*x-21) lgdogf] A138187 14.5233 [-(-4-6*x+3*x^2+3*x^3+x^4)/(x^2+x+1)/(x^3+2*x^2+2*x-1) lgdogf] A138187 4.92467 [-(24*f(x)-55)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+x^3+2*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A138187 9.14579 [-(x^3+2*x^2+2*x-1)/(x^2+x+1)^2 ogf] A138188 10.7755 [-(3+3*x+2*x^5+5*x^4+5*x^3-6*x^2)/(x-1)/(x^2+x+1)/(x^3+2*x^2+2*x-1) lgdogf] A138188 6.62575 [(x^3+2*x^2+2*x-1)/(x-1)/(x^2+x+1)^2 ogf] A138189 11.6719 [-(2+4*x-3*x^2+10*x^3+8*x^4+3*x^5)/(x-1)/(x^2+x+1)/(x^3+2*x^2+2*x-1) lgdogf] A138189 9.76343 [-(x^3+2*x^2+2*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A138190 4.64283 [x*(x^12+2*x^11+5*x^10+10*x^9+31*x^8+20*x^7+22*x^6+20*x^5+31*x^4+10*x^3+5*x^2+2*x+1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A138191 11.8011 [(6*f(x)-17)*(f(x)*x^4+x^3+x^2-f(x)+2*x+1) ogf] A138191 13.5094 [-(2+2*x+x^6+2*x^5+6*x^4+4*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+2*x+1) lgdogf] A138191 17.3911 [-(x^3+x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A138199 12.3986 [-17*(42*x-1)/(196*x-1)/(9*x-1) ogf] A138199 6.25834 [-(29887*f(x)-56406)*(1764*f(x)*x^2-205*f(x)*x+f(x)+714*x-17) ogf] A138199 7.22116 [{a(n+2)-205*a(n+1)+1764*a(n),a(0)=17,a(1)=2771} ogf] A138200 4.19023 [-(29887*f(x)-3318)*(1764*f(x)*x^2-205*f(x)*x+f(x)+42*x-1) ogf] A138200 4.80230 [{a(n+2)-205*a(n+1)+1764*a(n),a(0)=1,a(1)=163} ogf] A138200 8.18559 [-1/84*(-1-205*x+(1+242*x+34969*x^2)^(1/2))/(1+42*x) revogf] A138200 8.34930 [-(163-3528*x+74088*x^2)/(196*x-1)/(42*x-1)/(9*x-1) lgdogf] A138200 8.38049 [-(42*x-1)/(196*x-1)/(9*x-1) ogf] A138219 4.20159 [-2*x*(x^4-2*x^3-2*x^2+x+1)/(2*x^2-1)/(x-1)^2/(x+1)^2 ogf] A138229 12.7439 [-(x-1)/(6*x^2-2*x+1) ogf] A138229 6.66832 [(10*f(x)-9)*(6*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A138229 6.99361 [{a(n+2)-2*a(n+1)+6*a(n),a(0)=1,a(1)=1} ogf] A138230 12.2023 [-4*f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A138230 12.2719 [-(x-1)/(4*x^2-2*x+1) ogf] A138230 17.3317 [-(1-8*x+4*x^2)/(x-1)/(4*x^2-2*x+1) lgdogf] A138230 6.73460 [{a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A138231 11.8316 [-x*(x^2-x-1)/(2*x^4-2*x^2+1) ogf] A138231 14.6932 [-(1+2*x+4*x^5-6*x^4-8*x^3+2*x^2)/(x^2-x-1)/(2*x^4-2*x^2+1) lgdogf] A138231 7.36453 [(4*f(x)-15)*(2*f(x)*x^4-2*f(x)*x^2+x^3-x^2+f(x)-x) ogf] A138232 10.3046 [-2*f(x)*x^4+2*f(x)*x^2+x^3-2*x^2-f(x)+1 ogf] A138232 12.6696 [(x-1)*(x^2-x-1)/(2*x^4-2*x^2+1) ogf] A138232 14.7196 [-x^2*(2*x^4-8*x^3+2*x^2+8*x-3)/(x-1)/(x^2-x-1)/(2*x^4-2*x^2+1) lgdogf] A138233 12.5139 [-5*(6*x-1)/(9*x-1)/(4*x-1) ogf] A138233 12.8019 [-1/12*(-5-13*x+(25+10*x+25*x^2)^(1/2))/(5+6*x) revogf] A138233 14.3631 [-(7-72*x+216*x^2)/(6*x-1)/(4*x-1)/(9*x-1) lgdogf] A138233 6.3228 [-(19*f(x)+150)*(36*f(x)*x^2-13*f(x)*x+f(x)+30*x-5) ogf] A138233 7.06666 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=5,a(1)=35} ogf] A138238 3.71779 [{a(n+4)+2*a(n+3)-9*a(n+2)-2*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=9} ogf] A138238 4.09836 [(823*f(x)-8)*(8*f(x)*x^4-2*f(x)*x^3-9*f(x)*x^2+2*f(x)*x-2*x^2+f(x)-x) ogf] A138238 8.00755 [x*(2*x+1)/(x-1)/(2*x-1)/(4*x+1)/(x+1) ogf] A138238 8.94386 [-6*x*(-3+8*x^3+4*x^2-4*x)/(x-1)/(1+2*x)/(2*x-1)/(4*x+1)/(x+1) lgdogf] A138240 23.0072 [x*(-1+2*x)/(-1-4*x+8*x^2) revogf] A138240 4.71102 [{-48*a(n)*n+(16*n+12)*a(n+1)+(-n-2)*a(n+2),a(0)=0,a(1)=1} ogf] A138240 8.0023 [8*f(x)^2*x-2*f(x)^2-4*f(x)*x+f(x)-x ogf] A138251 5.13258 [(x^2+1)*(x^13+x^12+x^10+x^9+x^8+x^6+x^5+x^4+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A138268 3.82242 [-(247*f(x)+15)*(f(x)*x^4+3*f(x)*x^3+8*f(x)*x^2-x^3+3*f(x)*x-3*x^2+f(x)-7*x-1) ogf] A138268 6.78680 [-(-4+10*x+x^6+6*x^5+22*x^4+40*x^3+53*x^2)/(x^3+3*x^2+7*x+1)/(x^4+3*x^3+8*x^2+3*x+1) lgdogf] A138268 7.14842 [(x^3+3*x^2+7*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A138269 4.05419 [-(4121*f(x)+186)*(f(x)*x^4-5*f(x)*x^3+4*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1) ogf] A138269 8.10838 [(x-1)^2/(x^4-5*x^3+4*x^2-5*x+1) ogf] A138269 9.59849 [-(3-3*x-9*x^3+15*x^2+2*x^4)/(x-1)/(x^4-5*x^3+4*x^2-5*x+1) lgdogf] A138278 11.0306 [-(4*x^5+6*x^4+3*x^3+4*x^2+2*x+1)/(5*x^3-1) ogf] A138278 8.13368 [(2*f(x)-1)*(4*x^5+5*f(x)*x^3+6*x^4+3*x^3+4*x^2-f(x)+2*x+1) ogf] A138278 9.08956 [2*(-1-4*x+15*x^6+20*x^7-20*x^4-22*x^3-12*x^2)/(5*x^3-1)/(4*x^5+6*x^4+3*x^3+4*x^2+2*x+1) lgdogf] A138279 11.2327 [-x*(5*x^4+5*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A138279 9.06778 [-(1+4*x+5*x^6+4*x^5+3*x^4+24*x^3+15*x^2)/(x-1)/(x+1)/(1+x^2)/(5*x^4+5*x^3+2*x^2+x+1) lgdogf] A138287 6.16248 [-2*x*(x^6+3*x^5-x^4+4*x^3-x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A138288 12.4178 [-(x-1)/(x^2-10*x+1) ogf] A138288 13.3201 [-1/2*(-10*x-1+(1+16*x+96*x^2)^(1/2))/(1+x) revogf] A138288 18.0466 [-(9-2*x+x^2)/(x-1)/(x^2-10*x+1) lgdogf] A138288 6.27716 [-(88*f(x)-7)*(f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A138288 6.88218 [{a(n+2)-10*a(n+1)+a(n),a(0)=1,a(1)=9} ogf] A138289 4.93973 [-(26749*f(x)+65562)*(f(x)*x^4+4*x^3+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A138289 9.15066 [-(4*x^3+3*x^2+2*x+1)/(x^4+x-1) ogf] A138298 10.0143 [x*(x^2-10*x-2)/(x^4+11*x^2-1) ogf] A138298 5.89626 [(16340*f(x)+14937)*(f(x)*x^4+11*f(x)*x^2-x^3+10*x^2-f(x)+2*x) ogf] A138298 9.70693 [-2*(-5-21*x-55*x^2-4*x^3-15*x^4+x^5)/(x^2-10*x-2)/(x^4+11*x^2-1) lgdogf] A138322 12.3654 [-(10*x+1)/(10*x^2+5*x-1) ogf] A138322 13.8827 [1/20*(-5*x-1+(65*x^2+50*x+1)^(1/2))/(1+x) revogf] A138322 13.8827 [-5*(3+4*x+20*x^2)/(10*x+1)/(10*x^2+5*x-1) lgdogf] A138322 6.05388 [-(379*f(x)+1646)*(10*f(x)*x^2+5*f(x)*x-f(x)+10*x+1) ogf] A138322 6.91871 [{a(n+2)-5*a(n+1)-10*a(n),a(0)=1,a(1)=15} ogf] A138326 4.12653 [(2*x^18+7*x^17-13*x^16+2*x^15-x^14+5*x^13-12*x^12+16*x^11-16*x^10+15*x^9-8*x^8+2*x^7-2*x^6+2*x^5-x^4+x^3-x^2+x-1)/(x-1)^3 ogf] A138331 32.3554 [-2*(-4+3*x)/(x-1)/(x+1) lgdogf] A138331 33.3220 [[-8+7*x] ogf_with_Euler_transform] A138331 5.08729 [{(-n-3)*a(n+3)-8*a(n+2)+(7+n)*a(n+1),a(0)=-16,a(1)=128,a(2)=-560} ogf] A138331 7.77069 [16*(x-1)/(x+1)^7 ogf] A138332 29.7581 [[-10+9*x] ogf_with_Euler_transform] A138332 30.0895 [-2*(-5+4*x)/(x-1)/(x+1) lgdogf] A138332 4.70276 [{(-n-3)*a(n+3)-10*a(n+2)+(9+n)*a(n+1),a(0)=-64,a(1)=640,a(2)=-3456} ogf] A138332 5.97377 [64*(x-1)/(x+1)^9 ogf] A138333 28.6257 [[-12+11*x] ogf_with_Euler_transform] A138333 30.1280 [-2*(-6+5*x)/(x-1)/(x+1) lgdogf] A138333 4.60592 [{(-n-3)*a(n+3)-12*a(n+2)+(11+n)*a(n+1),a(0)=-256,a(1)=3072,a(2)=-19712} ogf] A138333 4.80474 [256*(x-1)/(x+1)^11 ogf] A138334 25.4758 [[-14+13*x] ogf_with_Euler_transform] A138334 26.7011 [-2*(-7+6*x)/(x-1)/(x+1) lgdogf] A138334 4.02804 [{(-n-3)*a(n+3)-14*a(n+2)+(13+n)*a(n+1),a(0)=-1024,a(1)=14336,a(2)=-106496} ogf] A138340 13.1554 [-(8*x-1)/(16*x^2-4*x+1) ogf] A138340 14.3235 [-1/16*(-1-4*x+(1-24*x-48*x^2)^(1/2))/(1+2*x) revogf] A138340 15.3715 [-4*(-1-8*x+32*x^2)/(8*x-1)/(16*x^2-4*x+1) lgdogf] A138340 6.72389 [-(3*f(x)-2)*(16*f(x)*x^2-4*f(x)*x+f(x)+8*x-1) ogf] A138340 7.29096 [{-a(n+2)+4*a(n+1)-16*a(n),a(0)=1,a(1)=-4} ogf] A138341 13.8925 [-(-2-8*x+x^4+x^3+9*x^2)/(x^2-x+1)/(x^3+4*x-1) lgdogf] A138341 5.32832 [(504*f(x)+2495)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-2*f(x)*x+f(x)+4*x-1) ogf] A138341 7.80668 [-(x^3+4*x-1)/(x^2-x+1)^2 ogf] A138349 4.83242 [{(16*n^2+96*n+128)*a(n+1)+(-n^2-16*n-63)*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A138357 5.04828 [x*(x^9-2*x^8+2*x^7+3*x^6+4*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^4 ogf] A138364 5.72357 [{(-4*n-12)*a(n+1)+(n+4)*a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A138364 8.54818 [-4*f(x)^2*x^3+f(x)^2*x-4*f(x)*x^2+f(x)-x ogf] A138365 14.9508 [-(x-10)/(x+1)/(x^2-11*x+1) ogf] A138365 6.91937 [(1694920599*f(x)+9705970)*(f(x)*x^3-10*f(x)*x^2-10*f(x)*x+f(x)+x-10) ogf] A138365 7.03566 [{-a(n+3)+10*a(n+2)+10*a(n+1)-a(n),a(0)=10,a(1)=99,a(2)=1090} ogf] A138376 7.58980 [-x*(8*x^11+x^10+5*x^9-4*x^7-4*x^5-4*x^3-3*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A138377 10.327 [-(4*f(x)-1)*(4*f(x)*x^4-2*x^3-3*x^2+f(x)-x) ogf] A138377 13.3791 [-(-3-4*x+16*x^5+16*x^3+36*x^4)/(1+2*x)/(x+1)/(2*x^2+2*x+1)/(2*x^2-2*x+1) lgdogf] A138377 16.1724 [x*(x+1)*(2*x+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A138378 14.0976 [-a(n)+(n+1)*a(n+1),a(0)=3,a(1)=1 lgdegf] A138380 12.7868 [-(x-1)*(2*x+1)*(x+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A138380 8.34190 [-2*(1-x+4*x^6+4*x^5-12*x^4-8*x^3-3*x^2)/(-1+x)/(2*x+1)/(x+1)/(1+2*x+2*x^2)/(2*x^2-2*x+1) lgdogf] A138380 8.37754 [-(f(x)-1)*(4*f(x)*x^4+2*x^3+x^2+f(x)-2*x-1) ogf] A138382 12.9179 [-(2*x^3+x^2+3*x-1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A138382 8.36728 [-(4*f(x)+39)*(4*f(x)*x^4+2*x^3+x^2+f(x)+3*x-1) ogf] A138382 9.19381 [-(-3-2*x+8*x^6+8*x^5+36*x^4-16*x^3-6*x^2)/(2*x^2+2*x+1)/(2*x^2-2*x+1)/(2*x^3+x^2+3*x-1) lgdogf] A138384 7.70479 [-(5*x^9-3*x^8+2*x^7-x^6+x^5+x^3+x^2+2*x+3)/(x^2+x-1)/(x^4+2*x^3+4*x^2+3*x+1)/(x^4-3*x^3+4*x^2-2*x+1) ogf] A138395 21.3783 [1/(3*x^2-6*x+1) ogf] A138395 8.39865 [(109*f(x)+35)*(3*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A138395 8.60348 [{-a(n+2)+6*a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A138413 4.07168 [{(224*n^3+480*n^2+298*n+48)*a(n)+(-910*n^3-1971*n^2-1241*n-198)*a(n+1)+(56*n^3+204*n^2+196*n+24)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A138415 7.36753 [f(x)^2*x^3-4*f(x)^2*x^2+5*f(x)^2*x-f(x)*x^2-2*f(x)^2+f(x)-x ogf] A138461 4.37483 [-3*f(x)^2*x^3-8*f(x)^2*x^2-7*f(x)^2*x+3*f(x)*x^2-2*f(x)^2+4*f(x)*x+f(x)-x ogf] A138463 7.27363 [x*(x-1)*(-1+2*x)^2/(1+x)/(x-2) revogf] A138473 10.1359 [-f(x)*x^2+47*f(x)*x-f(x)+21*x ogf] A138473 15.8535 [21*x/(x^2-47*x+1) ogf] A138473 22.8418 [-(-47+2*x)/(x^2+1-47*x) lgdogf] A138473 7.44925 [{a(n+2)-47*a(n+1)+a(n),a(0)=0,a(1)=21} ogf] A138473 8.47358 [-1/2*(-47*x-21+(15*x+7)^(1/2)*(3+7*x)^(1/2)*3^(1/2)*7^(1/2))/x revogf] A138477 3.63377 [(f(x)-1)*(4*f(x)*x^5-2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x-x^2+f(x)) ogf] A138477 8.44679 [-2*(-1+x+10*x^4-4*x^3-3*x^2)/(-1+x)/(2*x-1)/(x+1)/(2*x^2+1) lgdogf] A138477 8.86132 [x^2/(x-1)/(2*x-1)/(x+1)/(2*x^2+1) ogf] A138483 99.9999 Evaluated at exp(-Pi) 1/200*exp(Pi)*Pi^(4/3)*2^(4/5)*(5^(1/2)+1)^(1/3)*GAMMA(9/10)^(1/3)*(5^(1/2)-1)^(4/3)*5^(5/12)/GAMMA(3/4)^4/GAMMA(3/5)^(2/3)/GAMMA(7/10)^(1/3) A138495 8.97028 [-f(x)*(4*f(x)*x^4+2*f(x)*x^3+f(x)*x-f(x)+x) ogf] A138501 14.2700 [-(6*x^3+4*x^2-2*x+4)/(-x^4+1) ogf_with_Euler_transform] A138501 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A138502 14.3742 [-(-6*x^3-8*x^2-2*x-8)/(x^4-1) ogf_with_Euler_transform] A138502 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A138504 14.5749 [-(6*x^3-4*x^2+14*x-4)/(-x^4+1) ogf_with_Euler_transform] A138504 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A138506 99.9999 Evaluated at exp(-Pi) -1/8*Pi*2^(4/5)*5^(1/4)*GAMMA(4/5)^2*(-5+5^(1/2))/GAMMA(3/4)^4/GAMMA(9/10)/GAMMA(7/10) A138512 99.9999 Evaluated at exp(-Pi) 1/320000*exp(Pi)*Pi*5^(1/4)/GAMMA(3/4)^4*2^(1/2)*(5-5^(1/2))^(5/2)*(5^(1/2)+1)^5 A138513 12.6486 [-(5*x-1)/(5*x^2-8*x+1) ogf] A138513 13.5904 [-1/10*(-1-8*x+(1-4*x+44*x^2)^(1/2))/(1+x) revogf] A138513 14.6633 [-(3-10*x+25*x^2)/(5*x-1)/(5*x^2-8*x+1) lgdogf] A138513 6.12031 [-(316*f(x)-235)*(5*f(x)*x^2-8*f(x)*x+f(x)+5*x-1) ogf] A138513 6.94133 [{a(n+2)-8*a(n+1)+5*a(n),a(0)=1,a(1)=3} ogf] A138514 13.0369 [-(2*x^3-x^2+3*x-1)/(-x^4+1) ogf_with_Euler_transform] A138514 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(1/2)*2^(1/4)/GAMMA(3/4)^2 A138515 14.1853 [-(-4*x^3+2*x^2-6*x+2)/(x^4-1) ogf_with_Euler_transform] A138515 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A138516 15.6524 [-(-2*x^3+2*x^2-2*x+2)/(-x^5-1) ogf_with_Euler_transform] A138518 8.34564 [-(-4*x^8-2*x^7-4*x^6-2*x^5-2*x^3-4*x^2-2*x-4)/(x^10-1) ogf_with_Euler_transform] A138519 12.7493 [-(2*x^3-2*x^2+2*x-2)/(-x^5-1) ogf_with_Euler_transform] A138523 3.28191 [{(4*n^2+26*n+42)*a(n+1)+(-4*n^2-26*n-43)*a(n+2)+a(n+3),a(0)=1,a(1)=7,a(2)=127} ogf] A138524 2.87536 [{(-4*n^2-30*n-56)*a(n+1)+(4*n^2+30*n+57)*a(n+2)-a(n+3),a(0)=2,a(1)=26,a(2)=746} ogf] A138525 3.03066 [{(4*n^2+22*n+30)*a(n+1)+(-4*n^2-22*n-31)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=27} ogf] A138527 8.73092 [-(-2*x^8-x^7-2*x^6-x^5-x^3-2*x^2-x-2)/(x^10-1) ogf_with_Euler_transform] A138531 9.52185 [-(x^8+2*x^7+3*x^6+4*x^5+5*x^4+6*x^3+7*x^2+8*x+9)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A138532 10.3449 [-(-x^3+x^2-x+1)/(-x^5-1) ogf_with_Euler_transform] A138557 99.9999 Evaluated at exp(-Pi) 1/400*exp(Pi)*Pi*5^(1/4)/GAMMA(3/4)^4*2^(1/2)*(5-5^(1/2))^(1/2)*(5^(1/2)+1) A138558 99.9999 Evaluated at exp(-Pi) 1/450359962737049600000*exp(Pi)*5^(1/4)*Pi/GAMMA(3/4)^4*GAMMA(4/5)^34*2^(3/5)/GAMMA(7/10)^17/GAMMA(9/10)^17*(5-5^(1/2))^14*(5+5^(1/2))^3*(5^(1/2)-1)^17*(5^(1/2)+1)^17 A138559 16.5398 [-(-x^3+x^2-3*x+1)/(x^4-1) ogf_with_Euler_transform] A138559 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)*Pi^(1/4)*2^(1/8)/GAMMA(3/4) A138569 7.83327 [x*(2+6*x^7-12*x^5+24*x^4+5*x^3-12*x^2-16*x^6+4*x^9)/(x-1)/(2*x^2-1)/(2*x^4-2*x^2+1)/(2*x^5+x^4-2*x^3-2*x^2+x+1) lgdogf] A138569 9.57540 [x*(x-1)*(2*x^5+x^4-2*x^3-2*x^2+x+1)/(2*x^2-1)/(2*x^4-2*x^2+1) ogf] A138573 10.3554 [-x*(x-1)*(x+1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A138573 10.3611 [-2*(1+x+x^5-x^4-2*x^3+4*x^2)/(x-1)/(x+1)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A138573 5.17773 [-(14*f(x)-5)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x+f(x)-x) ogf] A138574 5.859 [-f(x)*(f(x)*x^4-2*f(x)*x^3+x^4-2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-x) ogf] A138574 9.90967 [-x*(x^3-x^2-x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A138587 7.37751 [-(2+10*x+4*x^8+24*x^6+40*x^5+49*x^4+40*x^3+16*x^7+25*x^2)/(x+1)/(x^2+1)/(2*x^2-1)/(2*x^5+4*x^4+5*x^3+4*x^2+3*x+1) lgdogf] A138587 8.04837 [-x*(2*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A138590 11.2760 [(-38*x-17+(17+76*x+85*x^2)^(1/2)*17^(1/2))/x revogf] A138590 15.1373 [-34*x/(x^2+76*x-1) ogf] A138590 22.5520 [-2*(x+38)/(x^2-1+76*x) lgdogf] A138590 7.11271 [{-a(n+2)+76*a(n+1)+a(n),a(0)=0,a(1)=34} ogf] A138590 9.67795 [-f(x)*x^2-76*f(x)*x+f(x)-34*x ogf] A138614 10.1018 [(2*x-1)*(x^2-x-1)/(2*x^4-2*x^2+1) ogf] A138614 10.3413 [-(1+2*x-12*x^5+4*x^6-4*x^2+8*x^3-2*x^4)/(2*x-1)/(x^2-x-1)/(2*x^4-2*x^2+1) lgdogf] A138614 6.25348 [(164*f(x)-385)*(2*f(x)*x^4-2*f(x)*x^2-2*x^3+3*x^2+f(x)+x-1) ogf] A138619 4.12874 [(8*x^6-20*x^5-4*x^4+12*x^3-9*x^2+6*x-1)/(8*x^8-20*x^7+8*x^6+12*x^5-14*x^4+26*x^3-19*x^2+8*x-1) ogf] A138635 8.55172 [-x^2*(x^6-x^5+x^4-2*x^3+x^2+1)/(2*x^3-1)/(x^6-x^3+1) ogf] A138653 10.4713 [-(x^3+x^2-x+1)/(x^4+x^3-3*x^2+3*x-1) ogf] A138653 7.01123 [f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)-x+1 ogf] A138741 5.68460 [-(2*x^8-3*x^7+4*x^6-x^4+x^3+2*x^2-4*x+3)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A138745 4.97213 [-(-2*x^11-x^10+x^9-2*x^8-2*x^7-x^6-x^4-2*x^3-2*x^2+x-1)/(x^12-1) ogf_with_Euler_transform] A138747 10.4999 [-f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-x^3+4*f(x)*x-f(x)-3*x+1 ogf] A138747 16.2825 [-(x^3+3*x-1)/(x^4-2*x^3+3*x^2-4*x+1) ogf] A138747 16.5563 [-(1-6*x-8*x^3+x^6+6*x^4+12*x^2)/(x^3+3*x-1)/(x^4-2*x^3+3*x^2-4*x+1) lgdogf] A138749 15.2676 [-(5*x+1)/(5*x^2-2*x+1) ogf] A138749 17.6696 [1/10*(-1+2*x+(1-24*x-16*x^2)^(1/2))/(x+1) revogf] A138749 18.5758 [-(-7+10*x+25*x^2)/(5*x+1)/(5*x^2-2*x+1) lgdogf] A138749 7.6338 [-(4*f(x)-45)*(5*f(x)*x^2-2*f(x)*x+f(x)+5*x+1) ogf] A138749 8.37856 [{-a(n+2)+2*a(n+1)-5*a(n),a(0)=-1,a(1)=-7} ogf] A138750 8.84551 [x*(4*x^6+6*x^5+2*x^4+6*x^3+6*x^2+x+2)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A138766 10.2594 [-(x^3+2*x-1)/(x^4+4*x^2-4*x+1) ogf] A138766 11.0539 [-(2-8*x+4*x^3+x^6+2*x^4+5*x^2)/(x^3+2*x-1)/(x^4+4*x^2-4*x+1) lgdogf] A138766 5.58768 [(54*f(x)-7)*(f(x)*x^4+4*f(x)*x^2+x^3-4*f(x)*x+f(x)+2*x-1) ogf] A138772 13.0691 [1/2*x*(x-2)/(x-1)^3 egf] A138772 35.0318 [-(-5+2*x)/(x-1)/(x-2) lgdegf] A138772 4.48760 [{(n^2+4*n+4)*a(n+1)+(n^2+6*n+10)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A138772 7.52466 [f(x)*(2*f(x)*x^3-6*f(x)*x^2+6*f(x)*x-x^2-2*f(x)+2*x) egf] A138782 14.5321 [-2*(x+5)*(2*x+1)/(x-1)/(2*x^2+6*x+1) lgdegf] A138782 3.10883 [{(8*n^2+48*n+72)*a(n+1)+(3*n^2+19*n+56)*a(n+2)+(-3*n-9)*a(n+3),a(0)=1,a(1)=10,a(2)=72} ogf] A138782 3.76563 [(6455295*f(x)+28336709)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-6*x-1) egf] A138782 7.74954 [(2*x^2+6*x+1)/(x-1)^4 egf] A138783 5.17129 [x*(14*x^3+74*x^2+39*x+8)/(x-1)^6 egf] A138783 9.52989 [-(87+343*x+42*x^3+338*x^2)/(x-1)/(14*x^3+74*x^2+39*x+8) lgdegf] A138784 6.04625 [-2*(436+2501*x+3371*x^3+316*x^4+4716*x^2)/(x-1)/(158*x^4+1222*x^3+961*x^2+440*x+54) lgdegf] A138793 6.28234 [441-1260*x+900*x^2+(-42+522*x+600*x^3-1080*x^2)*f(x)+(1+141*x^2-22*x-220*x^3+100*x^4)*f(x)^2 lgdogf] A138794 6.67738 [(100*f(x)*x^2-20*f(x)*x+f(x)+100*x-20)^2 ogf] A138803 11.8684 [-(x-1)*x/(x^4+4*x^2-4*x+1) ogf] A138803 14.3541 [-(3-8*x-4*x^3+3*x^4+4*x^2)/(x-1)/(x^4+4*x^2-4*x+1) lgdogf] A138803 6.09455 [-(3*f(x)+1)*(f(x)*x^4+4*f(x)*x^2-4*f(x)*x+x^2+f(x)-x) ogf] A138814 2.42969 [(2*f(x)*x-f(x)+1)^2 ogf] A138815 8.96917 [(2*f(x)*x-f(x)+1)^2 ogf] A138823 2.12465 [(10*f(x)*x-f(x)+1)^2 ogf] A138824 5.02383 [(10*f(x)*x-f(x)+1)^2 ogf] A138825 12.0642 [(10*f(x)*x-f(x)+1)^2 ogf] A138825 3.24533 [(10*x+1)*(111111111111*x^10-1000000*x^4-10000*x^2-100)/(111111111111*x^10+100000000*x^6-100) ogf] A138829 9.35443 [-(x^14-x^13+x^4-x^3-x-1)/(x-1)^2 ogf] A138829 9.38647 [(3+x-5*x^3+12*x^14-25*x^13+2*x^4+13*x^12+3*x^2)/(x-1)/(x^14-x^13+x^4-x^3-x-1) lgdogf] A138830 10.5336 [(4+2*x+x^3+12*x^14-25*x^13+13*x^12-3*x^2)/(x-1)/(x^14-x^13+x^3-x^2-2) lgdogf] A138830 9.90748 [-(x^14-x^13+x^3-x^2-2)/(x-1)^2 ogf] A138836 9.10246 [-(x^2-x+1)*(x^27-x^25-x^24+x^22+x^21-x^19-x^18+x^16+x^15-x^13-x^12+x^10+x^9-x^7-x^6+2*x^4+x^3-x^2-x-1)/(x-1)^2 ogf] A138849 10.0692 [-2*x*(7+15*x^2+2*x^3+36*x)/(x-1)/(4*x^4+7*x^3+17*x^2-5*x+1) lgdogf] A138849 8.38786 [-(4*x^4+7*x^3+17*x^2-5*x+1)/(x-1)^5 ogf] A138888 11.6692 [-(x^15-x^14+x^4-x^2-1)/(x-1)^2 ogf] A138888 12.0873 [(2+2*x-4*x^3-27*x^14+2*x^4+13*x^15+14*x^13)/(x-1)/(x^15-x^14+x^4-x^2-1) lgdogf] A138893 6.00483 [x*(7*x^4+14*x^3-10*x^2+14*x+11)/(x-1)^2/(x^2+1)^2 ogf] A138893 7.14417 [-2*(18-25*x+52*x^3+7*x^6+21*x^5-34*x^4+33*x^2)/(x-1)/(7*x^4+14*x^3-10*x^2+14*x+11)/(x^2+1) lgdogf] A138894 12.5459 [(x+1)/(9*x-1)/(x-1) ogf] A138894 12.5629 [-1/2*(-1-10*x+(1+24*x+64*x^2)^(1/2))/(-1+9*x) revogf] A138894 15.2793 [-(-11+18*x+9*x^2)/(x-1)/(9*x-1)/(x+1) lgdogf] A138894 6.55807 [(92*f(x)+29)*(9*f(x)*x^2-10*f(x)*x+f(x)-x-1) ogf] A138894 6.87036 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=1,a(1)=11} ogf] A138896 3.47510 [{(4*n^3+30*n^2+72*n+56)*a(n+1)+(-n-3)*a(n+2),a(0)=3,a(1)=15} ogf] A138897 6.03709 [{(-4*n^3-34*n^2-94*n-84)*a(n+1)+(n+4)*a(n+2),a(0)=3,a(1)=20} ogf] A138898 11.3040 [{(4*n^2+26*n+36)*a(n+1)-a(n+2),a(0)=60,a(1)=840} ogf] A138902 32.2206 [-x^19+x^9+1 ogf_with_Euler_transform] A138908 34.9027 [(-1-30*x^9+27*x^10)/(x-1)/(1+3*x^10) lgdogf] A138911 19.4156 [(exp(-x)+x^2+1+2*x)*exp(x)/(x+1) lgdegf] A138912 16.8682 [-(x*exp(-x)-x^2-1-2*x)*exp(x)/(x+1) lgdegf] A138949 5.08499 [-(2*x^11+2*x^10+3*x^9+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+3*x+2)/(-x^12+1) ogf_with_Euler_transform] A138951 5.37331 [-(2*x^11-2*x^10+5*x^9+2*x^7-2*x^6+4*x^5-2*x^4+2*x^3+5*x-2)/(-x^12+1) ogf_with_Euler_transform] A138953 6.22534 [-x^10*(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A138957 5.51437 [144-720*x+900*x^2+(-24+324*x+600*x^3-900*x^2)*f(x)+(100*x^4+141*x^2+1-22*x-220*x^3)*f(x)^2 lgdogf] A138976 7.43697 [-3*x*(x^3+x^2-5*x-1)/(x-1)/(x^4-10*x^2+1) ogf] A138976 9.21804 [-2*(-3-9*x+51*x^3+x^7+x^6-11*x^5-5*x^4-9*x^2)/(x-1)/(x^3+x^2-5*x-1)/(x^4-10*x^2+1) lgdogf] A138977 15.9360 [-(2*x-3)/(4*x^2-7*x+1) ogf] A138977 16.3897 [-1/4*(-3-7*x+(9+34*x+33*x^2)^(1/2))/(2*x+1) revogf] A138977 18.5462 [-(19-24*x+8*x^2)/(2*x-3)/(4*x^2-7*x+1) lgdogf] A138977 7.7948 [-(109*f(x)+34)*(4*f(x)*x^2-7*f(x)*x+f(x)+2*x-3) ogf] A138977 8.64001 [{a(n+2)-7*a(n+1)+4*a(n),a(0)=3,a(1)=19} ogf] A138978 11.0983 [-(8*x^2-23*x+9)/(10*x^3-31*x^2+16*x-1) ogf] A138978 5.34361 [-(308303939*f(x)+104970188)*(10*f(x)*x^3-31*f(x)*x^2+16*f(x)*x+8*x^2-f(x)-23*x+9) ogf] A138978 6.01157 [{-a(n+3)+16*a(n+2)-31*a(n+1)+10*a(n),a(0)=9,a(1)=121,a(2)=1665} ogf] A138978 6.64662 [-(121-542*x-460*x^3+80*x^4+855*x^2)/(8*x^2-23*x+9)/(10*x^3-31*x^2+16*x-1) lgdogf] A138984 9.08951 [(x^6-4*x^3-x^2-x-1)/(x^2+x+1)^2/(x-1)^3 ogf] A138984 9.87169 [-(-2-4*x-11*x^3+x^8+x^7+x^6-10*x^5-9*x^4-21*x^2)/(x-1)/(x^2+x+1)/(x^6-4*x^3-x^2-x-1) lgdogf] A138985 7.36413 [-(-2-4*x-32*x^3+x^8-17*x^7-11*x^6-13*x^5+x^11-15*x^4+x^10-6*x^2+x^9)/(x-1)/(x+1)/(1+x^2)/(x^8-5*x^4-x^3-x^2-x-1) lgdogf] A138985 8.32628 [(x^8-5*x^4-x^3-x^2-x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A138986 7.61332 [(x^10-6*x^5-x^4-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A138987 7.10172 [(x^12-7*x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A138988 6.62600 [(x^14-8*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A138995 13.1177 [-(-1-12*x-5*x^3+2*x^7-14*x^4-6*x^2)/(x-1)/(x^2+x+1)/(2*x^5-6*x^2-x-1) lgdogf] A138995 14.1915 [-(2*x^5-6*x^2-x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A138996 10.0983 [-(-1-2*x-8*x^3-21*x^6-6*x^5-7*x^4+2*x^10-21*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^7-7*x^3-x^2-x-1) lgdogf] A138996 12.6894 [-(2*x^7-7*x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A138997 11.3930 [-(2*x^9-8*x^4-x^3-x^2-x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A138997 8.25764 [-(-1-2*x-32*x^3-30*x^8-7*x^7-8*x^6-9*x^5-10*x^4-3*x^2+2*x^13)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^9-8*x^4-x^3-x^2-x-1) lgdogf] A138999 9.53673 [-(2*x^13-10*x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A139011 14.5118 [-(2*x-1)/(5*x^2-4*x+1) ogf] A139011 17.6165 [-2*(1-5*x+5*x^2)/(-1+2*x)/(5*x^2-4*x+1) lgdogf] A139011 7.33741 [-(f(x)-3)*(5*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A139011 7.96378 [{-a(n+2)+4*a(n+1)-5*a(n),a(0)=1,a(1)=2} ogf] A139030 14.7435 [-(25*x-4)/(25*x^2-8*x+1) ogf] A139030 15.9562 [-1/25*(-2-4*x+(-(3*x+4)*(3*x-1))^(1/2))/(x+1) revogf] A139030 17.0959 [-(25*x-1)*(25*x-7)/(25*x-4)/(25*x^2-8*x+1) lgdogf] A139030 7.61477 [(144*f(x)-625)*(25*f(x)*x^2-8*f(x)*x+f(x)+25*x-4) ogf] A139030 8.34871 [{a(n+2)-8*a(n+1)+25*a(n),a(0)=4,a(1)=7} ogf] A139031 22.7137 [3/(25*x^2-8*x+1) ogf] A139031 30.4359 [-2*(25*x-4)/(25*x^2-8*x+1) lgdogf] A139031 9.19364 [{-a(n+2)+8*a(n+1)-25*a(n),a(0)=3,a(1)=24} ogf] A139031 9.30442 [(7*f(x)+75)*(25*f(x)*x^2-8*f(x)*x+f(x)-3) ogf] A139032 5.52464 [-(-x^13+x^12+x^8-x^7+x^6-x^5-x+1)/(-x^15-x^12-x^9-x^6-x^3-1) ogf_with_Euler_transform] A139093 13.1724 [-(-2*x^3+2*x^2-5*x+2)/(x^4-1) ogf_with_Euler_transform] A139093 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(1/2)*2^(7/8)/GAMMA(3/4)^2 A139098 12.6392 [-8*x*(x+1)/(x-1)^3 ogf] A139098 34.0782 [[4-x] ogf_with_Euler_transform] A139098 35.4646 [-2*(x+2)/(x-1)/(x+1) lgdogf] A139098 6.43244 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=32} ogf] A139098 6.73302 [(f(x)+2)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+8*x) ogf] A139114 6.05036 [-(3060*x^12-1170*x^11-6840*x^10+4950*x^9+9*x^2-21*x+11)/(x^2+x-1)/(x-1)^2 ogf] A139135 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi^(1/2)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)*GAMMA(11/12)*2^(1/2)*(3^(1/2)-1) A139136 6.46564 [-(x^10+2*x^8+x^7+x^6-2*x^5+x^4+x^3+2*x^2+1)/(-x^12+1) ogf_with_Euler_transform] A139136 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(1/6)*3^(7/12)/GAMMA(2/3)^(1/3)/GAMMA(3/4)^(7/3)*GAMMA(11/12)^(4/3)*GAMMA(7/12)*2^(1/3)/(1+3^(1/2))^(1/3) A139137 9.02355 [-(-2*x^7+3*x^6-x^4+x^3-3*x+2)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A139137 99.9999 Evaluated at exp(-Pi) 1/GAMMA(2/3)*GAMMA(3/4)*Pi^(1/2)*2^(1/2)*(3^(1/2)-1)/GAMMA(7/12) A139139 10.0321 [-(x^3-x)/(-x^6+x^5-x^3+x-1) ogf_with_Euler_transform] A139149 3.20578 [{(-n^2-8*n-16)*a(n+1)+(n^2+9*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=2,a(1)=4,a(2)=13} ogf] A139179 14.2334 [x^2*(x^15-x^14+1)/(x-1)^2 ogf] A139179 18.5026 [(-2+14*x^13-27*x^14+13*x^15)/(x-1)/(x^15-x^14+1) lgdogf] A139209 11.7152 [-(1-8*x-16*x^3+6*x^4+19*x^2)/(x-1)/(3*x-1)/(-1+2*x)/(x^2-3*x+1) lgdogf] A139209 12.0993 [(3*x-1)*(x-1)/(2*x-1)/(x^2-3*x+1) ogf] A139209 6.41791 [-(3*f(x)-1)*(2*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-3*x^2-f(x)+4*x-1) ogf] A139209 6.58982 [{a(n+3)-5*a(n+2)+7*a(n+1)-2*a(n),a(0)=-1,a(1)=-1,a(2)=-1} ogf] A139222 10.0864 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=33} ogf] A139222 18.1994 [3*(9*x+1)/(x-1)^2 ogf] A139222 22.2034 [-1/2*(-3-2*x+(9+120*x)^(1/2))/(-27+x) revogf] A139222 35.7184 [-(11+9*x)/(9*x+1)/(x-1) lgdogf] A139222 9.40644 [(20*f(x)+303)*(f(x)*x^2-2*f(x)*x+f(x)-27*x-3) ogf] A139245 10.1410 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=24} ogf] A139245 18.2978 [4*(4*x+1)/(x-1)^2 ogf] A139245 26.6394 [-(-2-x+2*(1+5*x)^(1/2))/(-16+x) revogf] A139245 34.4092 [-2*(3+2*x)/(4*x+1)/(x-1) lgdogf] A139245 9.35224 [(85*f(x)+4844)*(f(x)*x^2-2*f(x)*x+f(x)-16*x-4) ogf] A139249 10.0864 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=36} ogf] A139249 13.0808 [-f(x)*x^2+2*f(x)*x-f(x)+24*x+6 ogf] A139249 18.1994 [6*(4*x+1)/(x-1)^2 ogf] A139249 27.3841 [-(-3-x+(9+30*x)^(1/2))/(-24+x) revogf] A139249 34.2302 [-2*(3+2*x)/(4*x+1)/(x-1) lgdogf] A139262 4.58066 [{(-16*n^2-56*n-48)*a(n+1)+(8*n^2+30*n+24)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A139262 6.00575 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+16*f(x)*x^2+f(x)^2-8*f(x)*x-x^2+f(x) ogf] A139264 17.3782 [7*(9*x+1)/(x-1)^2 ogf] A139264 20.6361 [-1/2*(-7-2*x+(49+280*x)^(1/2))/(-63+x) revogf] A139264 34.0944 [-(11+9*x)/(9*x+1)/(x-1) lgdogf] A139264 8.98201 [(20*f(x)+707)*(f(x)*x^2-2*f(x)*x+f(x)-63*x-7) ogf] A139264 9.63131 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=77} ogf] A139267 12.3085 [-2*x*(5*x+1)/(x-1)^3 ogf] A139267 29.2784 [-2*(4+5*x)/(1+5*x)/(x-1) lgdogf] A139267 6.04996 [-(2430*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+2*x) ogf] A139267 6.37406 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=16} ogf] A139268 12.1011 [-2*x*(6*x+1)/(x-1)^3 ogf] A139268 28.7802 [-3*(3+4*x)/(6*x+1)/(x-1) lgdogf] A139268 5.89803 [-(4361*f(x)-19608)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+2*x) ogf] A139268 6.26665 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=18} ogf] A139271 12.4213 [-2*x*(7*x+1)/(x-1)^3 ogf] A139271 6.05406 [-(7264*f(x)-37449)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+2*x) ogf] A139271 6.43244 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=20} ogf] A139272 12.4213 [-x*(13*x+3)/(x-1)^3 ogf] A139272 26.2701 [-2*(11+13*x)/(13*x+3)/(x-1) lgdogf] A139272 6.15755 [(36096*f(x)-184357)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+3*x) ogf] A139272 6.43244 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=22} ogf] A139273 12.4213 [-x*(11*x+5)/(x-1)^3 ogf] A139273 26.2701 [-2*(13+11*x)/(11*x+5)/(x-1) lgdogf] A139273 6.05406 [(297728*f(x)-1523781)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+5*x) ogf] A139273 6.43244 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=26} ogf] A139274 14.0745 [-x*(9*x+7)/(x-1)^3 ogf] A139274 29.5538 [-6*(5+3*x)/(9*x+7)/(x-1) lgdogf] A139274 6.79871 [(348928*f(x)-1851063)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+7*x) ogf] A139274 7.16293 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=30} ogf] A139275 12.6392 [-x*(7*x+9)/(x-1)^3 ogf] A139275 28.3717 [-2*(17+7*x)/(7*x+9)/(x-1) lgdogf] A139275 6.10536 [(406272*f(x)-2320825)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+9*x) ogf] A139275 6.43244 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=34} ogf] A139276 12.5493 [-x*(5*x+11)/(x-1)^3 ogf] A139276 27.5661 [-2*(19+5*x)/(5*x+11)/(x-1) lgdogf] A139276 6.11647 [(469760*f(x)-3001131)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+11*x) ogf] A139276 6.44124 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=11,a(2)=38} ogf] A139277 12.5493 [-x*(3*x+13)/(x-1)^3 ogf] A139277 31.1617 [-6*(7+x)/(3*x+13)/(x-1) lgdogf] A139277 6.22103 [(77056*f(x)-569067)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+13*x) ogf] A139277 6.44124 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=42} ogf] A139278 12.6133 [-x*(x+15)/(x-1)^3 ogf] A139278 32.7469 [-2*(23+x)/(x+15)/(x-1) lgdogf] A139278 6.14768 [(615168*f(x)-5386591)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+15*x) ogf] A139278 6.47410 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=15,a(2)=46} ogf] A139279 17.4931 [8*(4*x+1)/(x-1)^2 ogf] A139279 24.6650 [-(-4-x+2*(4+10*x)^(1/2))/(-32+x) revogf] A139279 32.8867 [-2*(3+2*x)/(1+4*x)/(x-1) lgdogf] A139279 8.9409 [(85*f(x)+9688)*(f(x)*x^2-2*f(x)*x+f(x)-32*x-8) ogf] A139279 9.69495 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=48} ogf] A139280 17.6265 [9*(9*x+1)/(x-1)^2 ogf] A139280 20.9366 [-1/2*(-9-2*x+3*(9+40*x)^(1/2))/(-81+x) revogf] A139280 34.5910 [-(11+9*x)/(9*x+1)/(x-1) lgdogf] A139280 9.11033 [(20*f(x)+909)*(f(x)*x^2-2*f(x)*x+f(x)-81*x-9) ogf] A139280 9.76890 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=99} ogf] A139379 3.36276 [{(-8*n-20)*a(n+1)+(-2*n-2)*a(n+2)+(5*n+14)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A139379 4.56871 [-4*f(x)^2*x^4-4*f(x)^2*x^3+3*f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x^2-f(x)^2-f(x)*x+f(x)-x ogf] A139381 7.18598 [-(3*x^8+2*x^7+3*x^6+2*x^5+4*x^4+2*x^3+3*x^2+2*x+3)/(-x^10+1) ogf_with_Euler_transform] A139398 10.5117 [-(-1+5*x+10*x^3+2*x^5-10*x^4-10*x^2)/(x-1)/(-1+2*x)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A139398 5.11279 [f(x)^2*(2*f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+x^4-10*f(x)*x^2-4*x^3+5*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A139398 8.44956 [-(x-1)^4/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A139438 6.11668 [-(x^14+x^13+x^12+2*x^11+x^10+x^9+2*x^8+5*x^7+3*x^6+x^5+x^4+3*x^3+2*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A139477 4.03821 [(x^23-x^22+2*x^11+3*x^10+2*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A139482 16.3950 [-(2+2*x+5*x^2)/(x-1)/(x^3+2*x^2-x+1) lgdogf] A139482 4.54869 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=11} ogf] A139482 4.91851 [-(-2+5*f(x))*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A139482 8.76777 [-(x^3+2*x^2-x+1)/(x-1)^3 ogf] A139488 10.1451 [(2*x^3+2*x^2-x+1)/(x-1)^4 ogf] A139488 17.8191 [-(3+x+2*x^3+10*x^2)/(x-1)/(2*x^3+2*x^2-x+1) lgdogf] A139488 4.26870 [{(-19*n^2-98*n-120)*a(n+1)+(26*n^2+73*n-30)*a(n+2)+(-7*n^2-11*n+30)*a(n+3),a(0)=1,a(1)=3,a(2)=8} ogf] A139488 5.3874 [(40192*f(x)+32255)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-2*x^2+f(x)+x-1) ogf] A139514 5.36707 [-(2*f(x)*x+f(x)-6*x-2)*(f(x)*x-f(x)+2)^2 ogf] A139544 15.2281 [(2*x^4+x^2+1)/(x-1)^2 ogf] A139544 21.2906 [2*(-1-x-4*x^3+2*x^4)/(x-1)/(2*x^4+x^2+1) lgdogf] A139544 6.83465 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=6,a(4)=10} ogf] A139544 8.59407 [-(6*f(x)-1)*(-2*x^4+f(x)*x^2-2*f(x)*x-x^2+f(x)-1) ogf] A139545 6.02454 [(x^3+3*x^2-3*x+1)*(x-1)^2/(2*x-1)^2/(x^2-x+1)^2 ogf] A139545 7.91838 [-(-1+6*x+55*x^3+2*x^6+9*x^5-48*x^4-27*x^2)/(x-1)/(-1+2*x)/(x^3+3*x^2-3*x+1)/(x^2-x+1) lgdogf] A139566 7.11330 [(36*x^10+6*x^9-27*x^8-145*x^7-89*x^6-58*x^5-37*x^4-16*x^3-40*x^2-26*x-15)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A139570 12.4054 [4*x*(x-2)/(x-1)^3 ogf] A139570 33.1344 [-(-5+2*x)/(x-1)/(x-2) lgdogf] A139570 6.31345 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=20} ogf] A139570 7.44225 [-(23*f(x)-252)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+8*x) ogf] A139576 12.2563 [x*(7*x-11)/(x-1)^3 ogf] A139576 25.9105 [-2*(-13+7*x)/(x-1)/(7*x-11) lgdogf] A139576 6.12816 [(9392*f(x)-252495)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+11*x) ogf] A139576 6.29086 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=26} ogf] A139577 12.3860 [x*(9*x-13)/(x-1)^3 ogf] A139577 27.1964 [-6*(-5+3*x)/(x-1)/(9*x-13) lgdogf] A139577 6.24686 [(1744*f(x)-76551)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+13*x) ogf] A139577 6.35742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=30} ogf] A139578 12.1761 [x*(11*x-15)/(x-1)^3 ogf] A139578 24.3830 [-2*(-17+11*x)/(x-1)/(11*x-15) lgdogf] A139578 6.03688 [(15408*f(x)-1035139)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+15*x) ogf] A139578 6.35742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=34} ogf] A139579 12.2398 [x*(13*x-17)/(x-1)^3 ogf] A139579 24.5126 [-2*(-19+13*x)/(x-1)/(13*x-17) lgdogf] A139579 6.06849 [(18992*f(x)-1856421)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-13*x^2-f(x)+17*x) ogf] A139579 6.39071 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=17,a(2)=38} ogf] A139580 11.9099 [x*(15*x-19)/(x-1)^3 ogf] A139580 25.6100 [-6*(-7+5*x)/(x-1)/(15*x-19) lgdogf] A139580 5.80729 [-(3280*f(x)-448017)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+19*x) ogf] A139580 6.21842 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=19,a(2)=42} ogf] A139581 11.9099 [x*(17*x-21)/(x-1)^3 ogf] A139581 23.8438 [-2*(-23+17*x)/(x-1)/(17*x-21) lgdogf] A139581 5.71286 [-(27312*f(x)-5044825)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-17*x^2-f(x)+21*x) ogf] A139581 6.21842 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=46} ogf] A139582 47.1305 [1/(-x+1) ogf_with_Euler_transform] A139591 12.9560 [-x*(7*x+1)/(x+1)/(x-1)^3 ogf] A139591 20.1964 [-3*(3+6*x+7*x^2)/(x-1)/(7*x+1)/(x+1) lgdogf] A139591 6.82664 [-(956800*f(x)-5200081)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+7*x^2-f(x)+x) ogf] A139592 12.6140 [-2*x*(3*x+1)/(x+1)/(x-1)^3 ogf] A139592 20.2184 [-(5+10*x+9*x^2)/(x-1)/(3*x+1)/(x+1) lgdogf] A139592 6.14527 [-(1168*f(x)-6675)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+6*x^2-f(x)+2*x) ogf] A139593 12.6804 [-x*(5*x+3)/(x+1)/(x-1)^3 ogf] A139593 19.2278 [-(11+22*x+15*x^2)/(x-1)/(5*x+3)/(x+1) lgdogf] A139593 6.23086 [(98688*f(x)-713819)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+5*x^2-f(x)+3*x) ogf] A139594 17.0698 [-(2*x+3)*(x^2+6*x+3)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A139594 4.35374 [{(n^2-n-6)*a(n+1)+(-2*n^2-8*n-60)*a(n+2)+(n^2+9*n+14)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A139594 8.37257 [-x*(x+1)*(x^2+3*x+1)/(x-1)^5 ogf] A139595 12.6804 [-x*(3*x+5)/(x+1)/(x-1)^3 ogf] A139595 19.7619 [-(13+26*x+9*x^2)/(3*x+5)/(x-1)/(x+1) lgdogf] A139595 6.23086 [(41088*f(x)-344191)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+5*x) ogf] A139596 12.6804 [-2*x*(x+3)/(x+1)/(x-1)^3 ogf] A139596 21.5584 [-(7+14*x+3*x^2)/(x-1)/(x+3)/(x+1) lgdogf] A139596 6.34018 [(5040*f(x)-36067)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+6*x) ogf] A139597 12.6804 [-x*(x+7)/(x+1)/(x-1)^3 ogf] A139597 21.5584 [-3*(5+10*x+x^2)/(x-1)/(x+7)/(x+1) lgdogf] A139597 6.02317 [(1620352*f(x)-12042055)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+x^2-f(x)+7*x) ogf] A139598 16.0618 [-8*x/(x+1)/(x-1)^3 ogf] A139598 32.3376 [-2*(1+2*x)/(x-1)/(x+1) lgdogf] A139598 34.2090 [[2+x] ogf_with_Euler_transform] A139598 5.39388 [{(n+2)*a(n+3)-2*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=8,a(2)=16} ogf] A139598 7.30081 [(3*f(x)-4)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+8*x) ogf] A139606 18.2633 [3*(3*x+2)/(x-1)^2 ogf] A139606 27.7920 [-(-3-x+(9+15*x)^(1/2))/(-9+x) revogf] A139606 36.6349 [-(7+3*x)/(3*x+2)/(x-1) lgdogf] A139606 9.44656 [(10*f(x)+87)*(f(x)*x^2-2*f(x)*x+f(x)-9*x-6) ogf] A139606 9.90181 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=21} ogf] A139607 15.9056 [7*(2*x+1)/(x-1)^2 ogf] A139607 8.12952 [(33*f(x)+1561)*(f(x)*x^2-2*f(x)*x+f(x)-14*x-7) ogf] A139607 8.52586 [2*(252+126*x+2350*x^42+2115*x^43+4230*x^44)/(-252*x^2+126+126*x+1645*x^43+1175*x^42) lgdogf] A139607 8.81514 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=28} ogf] A139608 18.0293 [4*(5*x+2)/(x-1)^2 ogf] A139608 26.2484 [-(-4-x+2*(4+7*x)^(1/2))/(-20+x) revogf] A139608 36.9864 [-(9+5*x)/(5*x+2)/(x-1) lgdogf] A139608 9.42442 [(7*f(x)+106)*(f(x)*x^2-2*f(x)*x+f(x)-20*x-8) ogf] A139608 9.99214 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=36} ogf] A139609 17.7570 [9*(3*x+1)/(x-1)^2 ogf] A139609 21.0879 [-1/2*(-9-2*x+3*(9+16*x)^(1/2))/(-27+x) revogf] A139609 36.4245 [-(5+3*x)/(3*x+1)/(x-1) lgdogf] A139609 9.07582 [(56*f(x)+5121)*(f(x)*x^2-2*f(x)*x+f(x)-27*x-9) ogf] A139609 9.84124 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=45} ogf] A139610 15.5250 [5*(7*x+2)/(x-1)^2 ogf] A139610 23.0525 [-(-5-x+(25+45*x)^(1/2))/(-35+x) revogf] A139610 31.0708 [-(11+7*x)/(7*x+2)/(x-1) lgdogf] A139610 8.10748 [(18*f(x)+425)*(f(x)*x^2-2*f(x)*x+f(x)-35*x-10) ogf] A139610 8.68658 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=55} ogf] A139611 15.3483 [11*(4*x+1)/(x-1)^2 ogf] A139611 17.6605 [-1/2*(-11-2*x+(121+220*x)^(1/2))/(-44+x) revogf] A139611 29.4342 [-2*(3+2*x)/(4*x+1)/(x-1) lgdogf] A139611 8.10528 [(5*f(x)+143)*(f(x)*x^2-2*f(x)*x+f(x)-44*x-11) ogf] A139611 8.58774 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=66} ogf] A139612 15.5869 [6*(9*x+2)/(x-1)^2 ogf] A139612 23.1494 [-(-6-x+(36+66*x)^(1/2))/(-54+x) revogf] A139612 31.2014 [-(13+9*x)/(9*x+2)/(x-1) lgdogf] A139612 8.13981 [(11*f(x)+375)*(f(x)*x^2-2*f(x)*x+f(x)-54*x-12) ogf] A139612 8.72123 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=78} ogf] A139613 15.2493 [13*(5*x+1)/(x-1)^2 ogf] A139613 17.5466 [-1/2*(-13-2*x+(169+312*x)^(1/2))/(-65+x) revogf] A139613 31.9029 [-(7+5*x)/(1+5*x)/(x-1) lgdogf] A139613 7.96355 [(12*f(x)+481)*(f(x)*x^2-2*f(x)*x+f(x)-65*x-13) ogf] A139613 8.53237 [{-a(n+2)+2*a(n+1)-a(n),a(0)=13,a(1)=91} ogf] A139614 15.4864 [7*(11*x+2)/(x-1)^2 ogf] A139614 23.0002 [-(-7-x+(49+91*x)^(1/2))/(-77+x) revogf] A139614 28.5202 [-(15+11*x)/(11*x+2)/(x-1) lgdogf] A139614 7.99846 [(26*f(x)+1211)*(f(x)*x^2-2*f(x)*x+f(x)-77*x-14) ogf] A139614 8.56306 [{-a(n+2)+2*a(n+1)-a(n),a(0)=14,a(1)=105} ogf] A139615 15.5654 [15*(6*x+1)/(x-1)^2 ogf] A139615 17.9180 [-1/2*(-15-2*x+(225+420*x)^(1/2))/(-90+x) revogf] A139615 29.8633 [-2*(4+3*x)/(6*x+1)/(x-1) lgdogf] A139615 8.21993 [(7*f(x)+375)*(f(x)*x^2-2*f(x)*x+f(x)-90*x-15) ogf] A139615 8.60674 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15,a(1)=120} ogf] A139616 15.3185 [8*(13*x+2)/(x-1)^2 ogf] A139616 21.1892 [-(-8-x+2*(16+30*x)^(1/2))/(-104+x) revogf] A139616 28.8173 [-(17+13*x)/(13*x+2)/(x-1) lgdogf] A139616 8.08008 [(15*f(x)+916)*(f(x)*x^2-2*f(x)*x+f(x)-104*x-16) ogf] A139616 8.65044 [{-a(n+2)+2*a(n+1)-a(n),a(0)=16,a(1)=136} ogf] A139617 14.9092 [17*(7*x+1)/(x-1)^2 ogf] A139617 17.0948 [-1/2*(-17-2*x+(289+544*x)^(1/2))/(-119+x) revogf] A139617 31.8585 [-(9+7*x)/(7*x+1)/(x-1) lgdogf] A139617 7.77872 [(16*f(x)+1105)*(f(x)*x^2-2*f(x)*x+f(x)-119*x-17) ogf] A139617 8.41933 [{-a(n+2)+2*a(n+1)-a(n),a(0)=17,a(1)=153} ogf] A139618 14.9861 [9*(15*x+2)/(x-1)^2 ogf] A139618 21.3508 [-(-9-x+3*(9+17*x)^(1/2))/(-135+x) revogf] A139618 28.1830 [-(19+15*x)/(15*x+2)/(x-1) lgdogf] A139618 7.81882 [(34*f(x)+2637)*(f(x)*x^2-2*f(x)*x+f(x)-135*x-18) ogf] A139618 8.46273 [{-a(n+2)+2*a(n+1)-a(n),a(0)=18,a(1)=171} ogf] A139619 15.0629 [19*(8*x+1)/(x-1)^2 ogf] A139619 17.2748 [-1/2*(-19-2*x+(361+684*x)^(1/2))/(-152+x) revogf] A139619 29.5110 [-2*(5+4*x)/(8*x+1)/(x-1) lgdogf] A139619 8.03356 [(9*f(x)+779)*(f(x)*x^2-2*f(x)*x+f(x)-152*x-19) ogf] A139619 8.50612 [{-a(n+2)+2*a(n+1)-a(n),a(0)=19,a(1)=190} ogf] A139620 15.0629 [10*(17*x+2)/(x-1)^2 ogf] A139620 20.2361 [-(-10-x+(100+190*x)^(1/2))/(-170+x) revogf] A139620 28.3306 [-(21+17*x)/(17*x+2)/(x-1) lgdogf] A139620 7.85892 [(19*f(x)+1825)*(f(x)*x^2-2*f(x)*x+f(x)-170*x-20) ogf] A139620 8.50612 [{-a(n+2)+2*a(n+1)-a(n),a(0)=20,a(1)=210} ogf] A139626 10.6464 [-1/(6*x-1)^5 ogf] A139626 56.6692 [-30/(-1+6*x) lgdogf] A139626 6.52843 [{(-n-2)*a(n+2)+(36+6*n)*a(n+1),a(0)=1,a(1)=30} ogf] A139631 10.0635 [-(-x^17-x^14-x^13-x^5-x^4-x)/(-x^20+1) ogf_with_Euler_transform] A139631 99.9999 Evaluated at exp(-Pi) 1/20*exp(-1/8*Pi)*2^(7/8)*(5+5^(1/2))*5^(1/2) A139634 14.8161 [(8*x+1)/(2*x-1)/(x-1) ogf] A139634 16.3314 [-(-11+4*x+16*x^2)/(x-1)/(8*x+1)/(-1+2*x) lgdogf] A139634 16.7502 [-1/4*(-1-3*x+(1+38*x+x^2)^(1/2))/(-4+x) revogf] A139634 7.6635 [(29*f(x)+92)*(2*f(x)*x^2-3*f(x)*x+f(x)-8*x-1) ogf] A139634 8.03283 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=11} ogf] A139635 16.8647 [(9*x+1)/(2*x-1)/(x-1) ogf] A139635 18.1750 [-1/2*(-1-3*x+(1+42*x+x^2)^(1/2))/(-9+2*x) revogf] A139635 18.6294 [-2*(-6+2*x+9*x^2)/(x-1)/(-1+2*x)/(9*x+1) lgdogf] A139635 8.92837 [(2*f(x)+7)*(2*f(x)*x^2-3*f(x)*x+f(x)-9*x-1) ogf] A139635 9.14352 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=12} ogf] A139641 4.99821 [{(-n-2)*a(n+2)+(42+7*n)*a(n+1),a(0)=1,a(1)=35} ogf] A139641 43.2065 [-35/(-1+7*x) lgdogf] A139641 7.90761 [-1/(7*x-1)^5 ogf] A139672 11.6393 [-(2+8*x+21*x^3+13*x^5+15*x^4+13*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A139672 23.5930 [x^3+x^2+2*x+2 ogf_with_Euler_transform] A139672 7.18649 [1/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^6 ogf] A139678 19.5595 [-1/2*(x-2)*(x^2+x+2)/(x-1)^2 lgdegf] A139697 16.5727 [(10*x+1)/(2*x-1)/(x-1) ogf] A139697 18.2588 [-(-13+4*x+20*x^2)/(x-1)/(10*x+1)/(-1+2*x) lgdogf] A139697 19.1951 [-1/4*(-1-3*x+(1+46*x+x^2)^(1/2))/(-5+x) revogf] A139697 8.56568 [(35*f(x)+134)*(2*f(x)*x^2-3*f(x)*x+f(x)-10*x-1) ogf] A139697 9.18489 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=13} ogf] A139698 10.8743 [1/2*ln(2*x-23)+1/2*ln((50*x+1)^(1/2)+24)-1/2*ln((50*x+1)^(1/2)-24)-ln(5) revegf] A139698 17.3193 [(23*x+1)/(2*x-1)/(x-1) ogf] A139698 18.2081 [-2*(-13+2*x+23*x^2)/(x-1)/(-1+2*x)/(23*x+1) lgdogf] A139698 8.95152 [(37*f(x)+301)*(2*f(x)*x^2-3*f(x)*x+f(x)-23*x-1) ogf] A139698 9.59863 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=26} ogf] A139700 16.3405 [(28*x+1)/(2*x-1)/(x-1) ogf] A139700 18.0015 [-(-31+4*x+56*x^2)/(x-1)/(-1+2*x)/(28*x+1) lgdogf] A139700 18.0015 [-1/4*(-1-3*x+(1+118*x+x^2)^(1/2))/(-14+x) revogf] A139700 8.44567 [(89*f(x)+872)*(2*f(x)*x^2-3*f(x)*x+f(x)-28*x-1) ogf] A139700 9.05620 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=31} ogf] A139701 16.5437 [(98*x+1)/(2*x-1)/(x-1) ogf] A139701 17.3847 [-(-101+4*x+196*x^2)/(x-1)/(-1+2*x)/(98*x+1) lgdogf] A139701 18.2327 [-1/4*(-1-3*x+(1+398*x+x^2)^(1/2))/(-49+x) revogf] A139701 8.36273 [(299*f(x)+9902)*(2*f(x)*x^2-3*f(x)*x+f(x)-98*x-1) ogf] A139701 9.05964 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=101} ogf] A139704 6.89274 [-(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-10)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A139714 4.23446 [-(49*f(x)^2-40*f(x)-21)*(2*f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+x^4-10*f(x)*x^2-2*x^3+5*f(x)*x+x^2-f(x)) ogf] A139714 8.66361 [-x^2*(x-1)^2/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A139714 9.82399 [-(-3+15*x+30*x^3+6*x^5-20*x^4-30*x^2)/(x-1)/(-1+2*x)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A139740 11.3445 [-22*f(x)*x^2+13*f(x)*x-f(x)+9*x ogf] A139740 17.0757 [-1/44*(-9-13*x+3*(9+26*x+9*x^2)^(1/2))/x revogf] A139740 17.7439 [9*x/(11*x-1)/(2*x-1) ogf] A139740 23.5526 [-(-13+44*x)/(11*x-1)/(-1+2*x) lgdogf] A139740 8.33752 [{a(n+2)-13*a(n+1)+22*a(n),a(0)=0,a(1)=9} ogf] A139741 11.3445 [-33*f(x)*x^2+14*f(x)*x-f(x)+8*x ogf] A139741 14.8484 [-1/33*(-4-7*x+2*(2+7*x+2*x^2)^(1/2)*2^(1/2))/x revogf] A139741 17.7439 [8*x/(11*x-1)/(3*x-1) ogf] A139741 23.5526 [-2*(-7+33*x)/(11*x-1)/(3*x-1) lgdogf] A139741 8.33752 [{a(n+2)-14*a(n+1)+33*a(n),a(0)=0,a(1)=8} ogf] A139742 11.3445 [-44*f(x)*x^2+15*f(x)*x-f(x)+7*x ogf] A139742 14.8484 [-1/88*(-7-15*x+(7+30*x+7*x^2)^(1/2)*7^(1/2))/x revogf] A139742 17.7439 [7*x/(11*x-1)/(4*x-1) ogf] A139742 23.5526 [-(-15+88*x)/(11*x-1)/(-1+4*x) lgdogf] A139742 8.33752 [{a(n+2)-15*a(n+1)+44*a(n),a(0)=0,a(1)=7} ogf] A139743 11.2954 [-55*f(x)*x^2+16*f(x)*x-f(x)+6*x ogf] A139743 15.1118 [-1/55*(-8*x-3+(3+16*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A139743 17.6671 [6*x/(11*x-1)/(5*x-1) ogf] A139743 23.4493 [-2*(-8+55*x)/(11*x-1)/(5*x-1) lgdogf] A139743 8.30142 [{a(n+2)-16*a(n+1)+55*a(n),a(0)=0,a(1)=6} ogf] A139744 11.2954 [-66*f(x)*x^2+17*f(x)*x-f(x)+5*x ogf] A139744 14.4687 [-1/132*(-5-17*x+(5+34*x+5*x^2)^(1/2)*5^(1/2))/x revogf] A139744 17.6671 [5*x/(11*x-1)/(6*x-1) ogf] A139744 23.4493 [-(-17+132*x)/(11*x-1)/(6*x-1) lgdogf] A139744 8.30142 [{a(n+2)-17*a(n+1)+66*a(n),a(0)=0,a(1)=5} ogf] A139745 11.2463 [-77*f(x)*x^2+18*f(x)*x-f(x)+4*x ogf] A139745 17.5903 [4*x/(11*x-1)/(7*x-1) ogf] A139745 18.8065 [-1/77*(-2-9*x+2*(1+9*x+x^2)^(1/2))/x revogf] A139745 23.3460 [-2*(-9+77*x)/(11*x-1)/(7*x-1) lgdogf] A139745 8.26533 [{a(n+2)-18*a(n+1)+77*a(n),a(0)=0,a(1)=4} ogf] A139746 11.2463 [-88*f(x)*x^2+19*f(x)*x-f(x)+3*x ogf] A139746 14.4050 [-1/176*(-3-19*x+(3+38*x+3*x^2)^(1/2)*3^(1/2))/x revogf] A139746 17.5903 [3*x/(11*x-1)/(8*x-1) ogf] A139746 23.3460 [-(-19+176*x)/(11*x-1)/(8*x-1) lgdogf] A139746 8.26533 [{a(n+2)-19*a(n+1)+88*a(n),a(0)=0,a(1)=3} ogf] A139747 11.1972 [-99*f(x)*x^2+20*f(x)*x-f(x)+2*x ogf] A139747 17.5135 [2*x/(11*x-1)/(9*x-1) ogf] A139747 18.7233 [-1/99*(-1-10*x+(1+20*x+x^2)^(1/2))/x revogf] A139747 22.4680 [-2*(-10+99*x)/(11*x-1)/(9*x-1) lgdogf] A139747 8.22923 [{a(n+2)-20*a(n+1)+99*a(n),a(0)=0,a(1)=2} ogf] A139748 5.90692 [-2*f(x)*x^5+5*f(x)*x^4-10*f(x)*x^3+x^4+10*f(x)*x^2-x^3-5*f(x)*x+f(x) ogf] A139748 9.49594 [x^3*(x-1)/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A139748 9.82399 [-(-4+20*x+40*x^3+8*x^5-25*x^4-40*x^2)/(x-1)/(-1+2*x)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A139756 17.6495 [x^2/(2*x-1)^2 ogf] A139756 58.7480 [-4/(-1+2*x) lgdogf] A139756 6.53030 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A139756 8.48091 [f(x)*(4*f(x)*x^2-4*f(x)*x-x^2+f(x)) ogf] A139757 10.3922 [(9*x^2+14*x+1)/(x-1)^4 ogf] A139757 19.2735 [-6*(x+3)*(3*x+1)/(x-1)/(9*x^2+14*x+1) lgdogf] A139757 5.15925 [(918000*f(x)+9659003)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-14*x-1) ogf] A139760 14.5343 [-(8*x-1)/(16*x-1)/(x-1) ogf] A139760 14.9185 [-1/16*(-1-17*x+(1+2*x+225*x^2)^(1/2))/(2*x+1) revogf] A139760 16.7833 [-(9-32*x+128*x^2)/(x-1)/(8*x-1)/(16*x-1) lgdogf] A139760 7.26713 [-(121*f(x)-40)*(16*f(x)*x^2-17*f(x)*x+f(x)+8*x-1) ogf] A139760 8.13226 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=1,a(1)=9} ogf] A139761 12.2397 [-5*(1-4*x-4*x^3+2*x^4+6*x^2)/(-1+2*x)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A139761 12.6546 [-x^4/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A139761 6.27414 [2*f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A139763 3.33104 [(675*f(x)-1073)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2-2*x^3+f(x)*x-f(x)+x+1) ogf] A139763 5.85577 [-2*(-1-x-7*x^3+2*x^6-4*x^4+x^2)/(x-1)/(-1+2*x)/(x+1)/(x^2+1)/(2*x^2+2*x+1) lgdogf] A139763 6.46899 [(x-1)*(2*x^2+2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A139782 11.1302 [-(x-1)^2/(3*x-1)/(x^2-x+1) ogf] A139782 14.7947 [-(-2+4*x+3*x^3-9*x^2)/(x-1)/(3*x-1)/(x^2-x+1) lgdogf] A139782 6.00834 [(41*f(x)-56)*(3*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A139782 6.06199 [{a(n+3)-4*a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A139784 6.83828 [-2*(-1-6*x^3-46*x^8+16*x^7-16*x^11+19*x^4+40*x^12)/(x-1)/(-1+2*x)/(x+1)/(2*x^2+1)/(2*x^2-1)/(x^2+1)/(2*x^4-1) lgdogf] A139784 9.55605 [x^4*(2*x^4-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2+1)/(2*x^2-1)/(x^2+1) ogf] A139788 10.9888 [-(5*x^4+9*x^3+3*x^2+7*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A139788 6.69945 [-(7+6*x+20*x^3+5*x^8+18*x^7+9*x^6+28*x^5+5*x^4+27*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+9*x^3+3*x^2+7*x+1) lgdogf] A139790 13.2090 [-(3*x^2+x-1)/(x+1)/(2*x-1)^2 ogf] A139790 16.1013 [-(-2+2*x+6*x^3+7*x^2)/(-1+2*x)/(x+1)/(3*x^2+x-1) lgdogf] A139790 7.44765 [(8*f(x)-21)*(4*f(x)*x^3-3*f(x)*x+3*x^2+f(x)+x-1) ogf] A139790 7.44765 [{-a(n+3)+3*a(n+2)-4*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A139792 14.7849 [-(6*x-1)/(16*x-1)/(x-1) ogf] A139792 15.1802 [-1/4*(-1-17*x+(1+10*x+225*x^2)^(1/2))/(8*x+3) revogf] A139792 17.0778 [-(11-32*x+96*x^2)/(x-1)/(6*x-1)/(16*x-1) lgdogf] A139792 7.39242 [-(155*f(x)-34)*(16*f(x)*x^2-17*f(x)*x+f(x)+6*x-1) ogf] A139792 8.17515 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=1,a(1)=11} ogf] A139797 7.17621 [-x^4/(2*x-1)/(x^2-x+1)/(x+1)^2 ogf] A139797 8.5615 [2*f(x)*x^5+f(x)*x^4-f(x)*x^3+x^4+2*f(x)*x^2+f(x)*x-f(x) ogf] A139797 9.51628 [-(1+3*x+10*x^3-6*x^2)/(-1+2*x)/(x+1)/(x^2-x+1) lgdogf] A139798 18.2814 [-2*(19-22*x+6*x^2)/(x-1)/(x-2)/(3*x-4) lgdogf] A139798 7.96402 [(3*x-4)*(x-2)/(x-1)^6 ogf] A139800 11.9065 [-2*x^3*(-4+x^3+2*x^2+3*x)/(-1+2*x)/(x+1)/(x^2+1)/(x^3+x^2+x-1) lgdogf] A139800 6.45033 [2*f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x-x^2-f(x)-x+1 ogf] A139800 9.63362 [(x^3+x^2+x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A139806 10.5791 [-(4*x^3+3*x^2+2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A139806 5.81849 [(107*f(x)+87)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+4*x^3+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A139806 9.52957 [-(3+8*x+4*x^3+8*x^6+12*x^5+11*x^4+14*x^2)/(-1+2*x)/(x+1)/(x^2+1)/(4*x^3+3*x^2+2*x+1) lgdogf] A139814 5.10837 [-(153*f(x)+157)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+3*x^3+f(x)*x+2*x^2-f(x)+x) ogf] A139814 9.85822 [-(3+8*x+12*x^3+12*x^5+15*x^4+2*x^2)/(-1+2*x)/(x+1)/(x^2+1)/(3*x^2+2*x+1) lgdogf] A139814 9.86686 [-x*(3*x^2+2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A139817 6.66422 [-x*(x^10-x^9+2*x^7-x^6+2*x^4-x^3+1)/(2*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A139818 11.2378 [-x*(2*x-1)/(x-1)/(2*x+1)/(4*x-1) ogf] A139818 11.4709 [-(1+12*x+32*x^3-36*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(-1+4*x) lgdogf] A139818 5.77078 [{a(n+3)-3*a(n+2)-6*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A139818 5.98651 [(f(x)+1)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-x) ogf] A139819 7.26040 [-(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-10)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A139820 13.8815 [-(8*x^2-4*x+8)/(-x^4+1) ogf_with_Euler_transform] A139820 99.9999 Evaluated at exp(-Pi) 1/2*2^(1/2) A140044 7.19593 [-(25*x^3-50*x^2+10*x+1)/(10*x-1)/(125*x^4-25*x^2+1) ogf] A140045 5.84021 [-(216*x^4-468*x^3-78*x^2+28*x+1)/(6*x-1)/(15*x-1)/(3*x+1)/(6*x+1)/(12*x^2-1) ogf] A140058 10.0095 [-(19*x^5-x^4-x^3-x^2-x-25)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A140058 7.30185 [-(-26-28*x-32*x^3+17*x^8+15*x^7+13*x^6+11*x^5-59*x^4+19*x^9-30*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(19*x^5-x^4-x^3-x^2-x-25) lgdogf] A140062 12.5956 [(99*x+1)/(2*x-1)/(x-1) ogf] A140062 13.1750 [-1/2*(-1-3*x+(1+402*x+x^2)^(1/2))/(-99+2*x) revogf] A140062 13.1750 [-2*(-51+2*x+99*x^2)/(x-1)/(99*x+1)/(-1+2*x) lgdogf] A140062 6.36701 [(151*f(x)+5051)*(2*f(x)*x^2-3*f(x)*x+f(x)-99*x-1) ogf] A140062 6.89760 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=102} ogf] A140063 10.3901 [-(5*x^2+x+1)/(x-1)^3 ogf] A140063 19.3482 [-(x+2)*(5*x+2)/(x-1)/(5*x^2+x+1) lgdogf] A140063 5.23798 [-(2989*f(x)-5869)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+x+1) ogf] A140063 5.60881 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A140064 11.6491 [-(8*x^2+1)/(x-1)^3 ogf] A140064 20.9433 [-(3+16*x+8*x^2)/(x-1)/(8*x^2+1) lgdogf] A140064 5.7739 [(25029*f(x)-66389)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+1) ogf] A140064 5.87609 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=14} ogf] A140065 14.3199 [-(6*x^2+1)/(x-1)^3 ogf] A140065 25.0260 [-3*(1+4*x+2*x^2)/(x-1)/(6*x^2+1) lgdogf] A140065 6.97634 [-(3283*f(x)-6523)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+1) ogf] A140065 7.22329 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A140066 11.1961 [-(4*x^2+1)/(x-1)^3 ogf] A140066 19.4819 [-(2*x+3)*(2*x+1)/(x-1)/(1+4*x^2) lgdogf] A140066 5.64758 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A140066 7.29704 [(2925*f(x)-3877)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+1) ogf] A140081 15.2593 [-x*(2*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A140081 15.6076 [-(1+4*x+4*x^3+4*x^5+3*x^4)/(x-1)/(x+1)/(x^2+1)/(2*x^2+x+1) lgdogf] A140081 9.74387 [-(3*f(x)+4)*(f(x)*x^4+2*x^3+x^2-f(x)+x) ogf] A140085 10.1633 [-x*(3*x^6+2*x^5+2*x^4+x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A140090 12.4148 [x*(2*x-5)/(x-1)^3 ogf] A140090 27.8516 [-(-13+4*x)/(x-1)/(-5+2*x) lgdogf] A140090 6.31825 [(729*f(x)-3724)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+5*x) ogf] A140090 6.31825 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=13} ogf] A140091 12.4812 [3*x*(x-2)/(x-1)^3 ogf] A140091 33.3369 [-(-5+2*x)/(x-1)/(x-2) lgdogf] A140091 6.24059 [-(23*f(x)-189)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+6*x) ogf] A140091 6.35204 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=15} ogf] A140096 5.23274 [-x*(x^4-2*x^3+x^2+2*x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A140096 5.35821 [-(1-4*x+4*x^9+8*x^3-11*x^8+4*x^7+26*x^6-12*x^5-9*x^4+2*x^2)/(-1+2*x)/(x+1)/(x^2+x-1)/(x^4-2*x^3+x^2+2*x-1)/(x^2-x+1) lgdogf] A140106 11.0674 [-f(x)*x^3+f(x)*x^2+x^3+f(x)*x-f(x) ogf] A140106 19.9214 [x^3/(x+1)/(x-1)^2 ogf] A140106 42.5581 [[1+x] ogf_with_Euler_transform] A140106 44.6065 [-(1+3*x)/(x-1)/(x+1) lgdogf] A140106 6.94931 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A140107 45.2825 [-28/(-1+7*x) lgdogf] A140107 5.23539 [{(-n-2)*a(n+2)+(35+7*n)*a(n+1),a(0)=1,a(1)=28} ogf] A140107 5.36927 [-(f(x)+1)*(2401*f(x)*x^4-1372*f(x)*x^3+294*f(x)*x^2-28*f(x)*x+f(x)-1) ogf] A140107 9.56812 [1/(7*x-1)^4 ogf] A140113 12.5865 [-(-5-11*x+3*x^5-15*x^4-36*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2-4*x-1) lgdogf] A140113 7.87715 [-(x^2+1)*(x^2-4*x-1)/(x+1)^3/(x-1)^4 ogf] A140127 12.0224 [(f(x)*x-f(x)+1)^3 ogf] A140132 8.11280 [-x*(9*x^10+9*x^9+9*x^8+5*x^7+4*x^6+3*x^5+8*x^4+7*x^3+6*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A140134 4.02344 [-(4*x^15+2*x^14+x^13+32*x^12+16*x^11+8*x^10+504*x^9+252*x^8+126*x^7+63*x^6+32*x^5+16*x^4+8*x^3+4*x^2+2*x+1)/(1000*x^10-1) ogf] A140139 17.3499 [-(x^3-2*x^2-1)/(x-1)^2 ogf] A140139 26.2673 [(2+4*x+x^3-3*x^2)/(x-1)/(x^3-2*x^2-1) lgdogf] A140139 8.67493 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=7} ogf] A140139 9.98931 [(8*f(x)+333)*(f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A140142 3.95011 [(x^8+16*x^7-4*x^6+176*x^5+6*x^4+176*x^3-4*x^2+16*x+1)/(x+1)^5/(x-1)^6 ogf] A140144 16.9148 [-2*(-1-4*x-x^3+x^4-x^2)/(x-1)/(x+1)/(x^3-x^2-x-1) lgdogf] A140144 9.94114 [(x^3-x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A140145 5.35392 [-(x^6+8*x^5-x^4+32*x^3-x^2+8*x+1)/(x+1)^4/(x-1)^5 ogf] A140145 8.10550 [-3*(3+5*x+7*x^3+x^7+11*x^6+3*x^5+77*x^4+53*x^2)/(x-1)/(x+1)/(x^6+8*x^5-x^4+32*x^3-x^2+8*x+1) lgdogf] A140146 4.12865 [-(x^2+1)*(x^6-16*x^5-3*x^4-160*x^3+3*x^2-16*x-1)/(x+1)^5/(x-1)^6 ogf] A140146 5.38936 [-(-17-23*x-158*x^3-63*x^8-18*x^7-1170*x^6-188*x^5-2288*x^4-686*x^2+3*x^9)/(x-1)/(x+1)/(x^2+1)/(x^6-16*x^5-3*x^4-160*x^3+3*x^2-16*x-1) lgdogf] A140148 10.1678 [-2*(1+10*x+16*x^3+x^6+2*x^5-x^4+3*x^2)/(x-1)/(x+1)/(x^5+x^4-2*x^3+6*x^2+x+1) lgdogf] A140148 6.73486 [(x^5+x^4-2*x^3+6*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A140149 5.16209 [(x^6-8*x^5+5*x^4-32*x^3-5*x^2-8*x-1)/(x+1)^4/(x-1)^5 ogf] A140149 7.04483 [-(-9-27*x-47*x^3+3*x^7-31*x^6+23*x^5-227*x^4-165*x^2)/(x-1)/(x+1)/(x^6-8*x^5+5*x^4-32*x^3-5*x^2-8*x-1) lgdogf] A140150 3.92888 [(x^8+16*x^7+4*x^6+176*x^5-10*x^4+176*x^3+4*x^2+16*x+1)/(x+1)^5/(x-1)^6 ogf] A140152 4.87833 [(x^7-x^6-3*x^5-23*x^4+3*x^3-23*x^2-x-1)/(x+1)^4/(x-1)^5 ogf] A140152 6.74938 [-2*(-1-28*x-125*x^3+x^8-x^7-3*x^6-62*x^5-10*x^4-11*x^2)/(x-1)/(x+1)/(x^7-x^6-3*x^5-23*x^4+3*x^3-23*x^2-x-1) lgdogf] A140153 5.15124 [-(x^6+2*x^5+23*x^4-4*x^3+23*x^2+2*x+1)/(x+1)^4/(x-1)^5 ogf] A140153 7.44520 [-3*(1+19*x+83*x^3+x^7+3*x^6+41*x^5+3*x^4+9*x^2)/(x-1)/(x+1)/(x^6+2*x^5+23*x^4-4*x^3+23*x^2+2*x+1) lgdogf] A140154 5.45650 [-(x^2+1)*(x^4-4*x^3+22*x^2+4*x+1)/(x+1)^4/(x-1)^5 ogf] A140154 7.52275 [-(5+59*x+253*x^3+3*x^7-15*x^6+117*x^5+3*x^4+55*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-4*x^3+22*x^2+4*x+1) lgdogf] A140155 3.93042 [-(x^2+1)*(x^6-16*x^5+21*x^4-160*x^3-21*x^2-16*x-1)/(x+1)^5/(x-1)^6 ogf] A140157 3.78941 [(x^9+x^8-4*x^7+76*x^6+6*x^5+230*x^4-4*x^3+76*x^2+x+1)/(x+1)^5/(x-1)^6 ogf] A140158 3.95507 [(x^8-2*x^7+76*x^6+6*x^5+230*x^4-6*x^3+76*x^2+2*x+1)/(x+1)^5/(x-1)^6 ogf] A140158 5.29695 [-(3+165*x+1598*x^3-7*x^8+386*x^7+98*x^6+2072*x^5+212*x^4+78*x^2+3*x^9)/(x-1)/(x+1)/(x^8-2*x^7+76*x^6+6*x^5+230*x^4-6*x^3+76*x^2+2*x+1) lgdogf] A140159 3.97417 [(x^8+4*x^7+76*x^6-4*x^5+230*x^4-4*x^3+76*x^2+4*x+1)/(x+1)^5/(x-1)^6 ogf] A140160 3.78421 [(x^8-8*x^7+76*x^6-24*x^5+230*x^4+24*x^3+76*x^2+8*x+1)/(x+1)^5/(x-1)^6 ogf] A140164 12.9378 [(2*x^4+2*x^3+x^2+1)/(x-1)^2 ogf] A140164 15.8612 [2*(-1-x-3*x^3+2*x^4-3*x^2)/(x-1)/(2*x^4+2*x^3+x^2+1) lgdogf] A140164 6.62169 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=14} ogf] A140164 8.66964 [f(x)*(-2*x^4+f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A140165 12.1440 [-(3*x+1)/(3*x^2-x-1) ogf] A140165 15.4902 [1/6*(x-1+(13*x^2+10*x+1)^(1/2))/(1+x) revogf] A140165 16.8570 [-(2+6*x+9*x^2)/(3*x+1)/(3*x^2-x-1) lgdogf] A140165 6.66440 [{a(n+2)+a(n+1)-3*a(n),a(0)=1,a(1)=2} ogf] A140165 7.09716 [f(x)*(3*f(x)*x^2-f(x)*x-f(x)+3*x+1) ogf] A140167 15.7155 [-1/6*(-1-x+(1+2*x+13*x^2)^(1/2))/x revogf] A140167 20.6133 [1/(3*x^2-x-1) ogf] A140167 25.4442 [-(-1+6*x)/(3*x^2-x-1) lgdogf] A140167 8.19566 [(19*f(x)+18)*(3*f(x)*x^2-f(x)*x-f(x)-1) ogf] A140167 8.29561 [{a(n+2)+a(n+1)-3*a(n),a(0)=-1,a(1)=1} ogf] A140184 11.1913 [-(16*x^2+12*x+1)/(2*x+1)/(8*x^2+4*x-1) ogf] A140184 5.86641 [-(386*f(x)-1691)*(16*f(x)*x^3+16*f(x)*x^2+2*f(x)*x+16*x^2-f(x)+12*x+1) ogf] A140184 6.27098 [{a(n+3)-2*a(n+2)-16*a(n+1)-16*a(n),a(0)=1,a(1)=14,a(2)=60} ogf] A140184 9.79304 [-2*(7+32*x+192*x^3+128*x^4+104*x^2)/(2*x+1)/(8*x^2+4*x-1)/(16*x^2+12*x+1) lgdogf] A140201 13.9991 [-2*(1+3*x+4*x^3+3*x^5+3*x^4+2*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^2+x+1) lgdogf] A140201 14.4138 [x*(2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A140201 7.61703 [-(85*f(x)-1878)*(f(x)*x^5-f(x)*x^4-2*x^3-f(x)*x-x^2+f(x)-x) ogf] A140205 9.52331 [x*(3*x^6+2*x^5+2*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A140220 47.6911 [-40/(-1+5*x) lgdogf] A140220 5.25995 [1/(5*x-1)^8 ogf] A140220 5.50807 [{(-n-2)*a(n+2)+(45+5*n)*a(n+1),a(0)=1,a(1)=40} ogf] A140226 17.9176 [-4*(x+1)*(x^2-x+1)/(x-1)/(x^4+1) lgdogf] A140226 20.1061 [-x^7+x^3+4 ogf_with_Euler_transform] A140226 5.7058 [f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A140226 9.04149 [(x^4+1)/(x-1)^4 ogf] A140227 10.1114 [-(x+1)*(x^4-x^3+x^2-x+1)/(x-1)^5 ogf] A140227 18.5926 [-5*(x^4+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) lgdogf] A140227 25.9649 [-x^9+x^4+5 ogf_with_Euler_transform] A140227 3.71744 [{(n^2+5*n)*a(n)+(-2*n^2-4*n+18)*a(n+1)+(n^2-n-6)*a(n+2),a(0)=1,a(1)=5,a(2)=15,a(3)=35,a(4)=70,a(5)=127} ogf] A140228 10.9624 [-6*(x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) lgdogf] A140228 19.2735 [-x^11+x^5+6 ogf_with_Euler_transform] A140228 6.94974 [(x^2+1)*(x^4-x^2+1)/(x-1)^6 ogf] A140229 10.7151 [(x^4-x^3-x^2-x-1)/(x-1)^3 ogf] A140229 17.2234 [(4+4*x-4*x^3+x^4+4*x^2)/(x-1)/(x^4-x^3-x^2-x-1) lgdogf] A140229 5.61269 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=4,a(2)=10,a(3)=20,a(4)=33} ogf] A140229 6.2035 [(513*f(x)-16021)*(f(x)*x^3-x^4-3*f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)+x+1) ogf] A140230 12.6382 [-(2*x^2+2*x-3)*(2*x^2-4*x+1)/(x-1)/(2*x^2-1)/(2*x^2-2*x+1) lgdogf] A140230 4.94539 [(4*f(x)-83)*(4*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-2*x^3-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A140230 8.86317 [(x-1)*(2*x^2-1)/(2*x^2-2*x+1)^2 ogf] A140236 3.76512 [x*(4*x^5+80*x^4+120*x^3+65*x^2+10*x+1)/(x-1)^10 ogf] A140236 7.74161 [-20*(x+1)*(x^4+24*x^3+34*x^2+10*x+1)/(x-1)/(4*x^5+80*x^4+120*x^3+65*x^2+10*x+1) lgdogf] A140252 11.0852 [x*(2*x^2+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A140252 11.0991 [-(-1-12*x+8*x^4+14*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(1+2*x^2) lgdogf] A140252 4.82331 [{-a(n+4)+a(n+3)+4*a(n+2)-4*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=7} ogf] A140252 5.69238 [-(f(x)-1)*(4*f(x)*x^3-4*f(x)*x^2-2*x^3-f(x)*x+f(x)-x) ogf] A140253 10.0363 [(x^2+3*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A140253 10.5616 [-(-1+12*x^3+2*x^4-7*x^2)/(x-1)/(-1+2*x)/(x+1)/(x^2+3*x-1) lgdogf] A140253 5.46621 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=-1,a(1)=1,a(2)=2} ogf] A140253 5.51546 [(f(x)+2)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)-3*x+1) ogf] A140282 13.4608 [x*(x+2)^2/(x^2+x+1)/(x-1)^2 ogf] A140282 20.5374 [-(4+3*x+2*x^3+9*x^2)/(x+2)/(x-1)/(x^2+x+1) lgdogf] A140282 5.33507 [{(3*n+10)*a(n+1)+3*a(n+2)+3*a(n+3)+(-3*n-7)*a(n+4),a(0)=0,a(1)=4,a(2)=8,a(3)=9} ogf] A140282 7.41485 [(51*f(x)+395)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-4*x^2+f(x)-4*x) ogf] A140287 6.17851 [-x^2*(x-1)*(7*x^8+3*x^7+x^6+5*x^4+x^3+1)/(3*x^4+1)/(5*x^8+4*x^4+1) ogf] A140289 11.6081 [15*f(x)*x^3+17*f(x)*x^2+7*f(x)*x-x^2+f(x) ogf] A140289 20.4995 [x^2/(3*x+1)/(5*x^2+4*x+1) ogf] A140289 8.60246 [{-a(n+3)-7*a(n+2)-17*a(n+1)-15*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A140290 10.5676 [-(7*x^2+5*x+1)/(3*x+1)/(5*x^2+4*x+1) ogf] A140290 5.69025 [-(f(x)-4)*(15*f(x)*x^3+17*f(x)*x^2+7*f(x)*x+7*x^2+f(x)+5*x+1) ogf] A140290 5.84000 [{-a(n+3)-7*a(n+2)-17*a(n+1)-15*a(n),a(0)=-1,a(1)=2,a(2)=-4} ogf] A140295 12.2555 [-(5*x^2-3*x+1)/(2*x-1)/(x^2+x+1) ogf] A140295 12.2835 [-2*(-1+6*x-6*x^3+5*x^4-x^2)/(-1+2*x)/(x^2+x+1)/(5*x^2-3*x+1) lgdogf] A140295 6.50077 [-(f(x)-3)*(2*f(x)*x^3+f(x)*x^2+f(x)*x+5*x^2-f(x)-3*x+1) ogf] A140295 6.67489 [{a(n+3)-a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A140298 3.65024 [-(3*x^4+6*x^3+6*x^2+3*x+1)/(3*x^3-1)/(x^2+x+1) ogf] A140300 10.3545 [-1024*f(x)*x+f(x)-1 ogf] A140300 18.9834 [-1/(1024*x-1) ogf] A140300 23.4742 [1/1024*ln(1+1024*x) revegf] A140300 26.2358 [-1024/(-1+1024*x) lgdogf] A140300 8.28365 [{a(n+1)-1024*a(n),a(0)=1} ogf] A140302 4.45037 [-x^2*(x-1)*(x^8+x^6-x^4+x^3+1)/(2*x^8-2*x^4+1) ogf] A140302 5.12598 [(4*x^13+4*x^9-2*x^14-3*x^8+8*x^7+5*x^6-6*x^5-8*x^11+x^4+2*x^16+4*x^10-4*x^12-3*x^2+1)/(x-1)/(x^8+x^6-x^4+x^3+1)/(2*x^8-2*x^4+1) lgdogf] A140313 3.94768 [(x-1)*(x^3+3*x^2+2*x+1)/(3*x^3-1)/(x^2+x+1) ogf] A140318 11.1832 [x^17-x^8-x^5-x^3+x^2+x-1 ogf_with_Euler_transform] A140318 9.42514 [-x*(x-1)*(x^2+1)/(x^6-x^3+1) ogf] A140320 7.11623 [-(84*f(x)-53)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+7*x^2-f(x)-4*x+1) ogf] A140322 12.5517 [(2*x^2-2*x+1)/(x-1)/(4*x-1)/(x+1) ogf] A140322 6.32771 [-(6505*f(x)+1746)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A140322 6.77570 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=11} ogf] A140323 16.3090 [-(6*x+1)/(x+1)/(4*x-1) ogf] A140323 8.43567 [(35*f(x)+46)*(4*f(x)*x^2+3*f(x)*x-f(x)+6*x+1) ogf] A140323 8.95006 [{a(n+2)-3*a(n+1)-4*a(n),a(0)=1,a(1)=9} ogf] A140325 5.83542 [-1/(2*x-1)^9 ogf] A140325 5.89047 [{(-n-2)*a(n+2)+(20+2*n)*a(n+1),a(0)=1,a(1)=18} ogf] A140325 51.0022 [-18/(-1+2*x) lgdogf] A140335 7.07244 [[2] ogf_with_Euler_transform] A140342 10.6732 [-(-1+2*x)*(3*x^4-6*x^3+15*x^2-12*x+5)/(11*x^2+1-5*x+9*x^4-13*x^3+x^6-3*x^5) lgdogf] A140342 10.9565 [x^5/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) ogf] A140343 13.9434 [x^4/(x^2-x+1)/(3*x^2-3*x+1) ogf] A140343 16.6732 [-2*(-1+2*x)*(3*x^2-3*x+2)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A140343 6.53983 [f(x)*(3*f(x)*x^4-6*f(x)*x^3-x^4+7*f(x)*x^2-4*f(x)*x+f(x)) ogf] A140345 11.9433 [f(x)*(f(x)*x^5-2*x^4+x^3+x^2-f(x)+x+1) ogf] A140345 15.2507 [(2*x^4-x^3-x^2-x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A140346 32.5819 [-45+(1-5*x)*f(x) lgdogf] A140346 5.02493 [{(-n-2)*a(n+2)+(50+5*n)*a(n+1),a(0)=1,a(1)=45} ogf] A140354 5.11117 [1/(2*x-1)^10 ogf] A140354 53.0629 [-20/(-1+2*x) lgdogf] A140354 6.12375 [{(-n-2)*a(n+2)+(22+2*n)*a(n+1),a(0)=1,a(1)=20} ogf] A140359 11.5903 [-(-1-8*x-4*x^3+6*x^4+13*x^2)/(x-1)/(-1+2*x)/(x+1)/(3*x^2-x+1) lgdogf] A140359 11.8176 [(3*x^2-x+1)/(x-1)/(2*x-1)/(x+1) ogf] A140359 6.37941 [(41*f(x)+79)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-3*x^2+f(x)+x-1) ogf] A140359 6.43638 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=6} ogf] A140360 10.2925 [2*f(x)*x^2-f(x)*x+3*x^2-f(x)+x+1 ogf] A140360 13.7881 [-(3*x^2+x+1)/(2*x+1)/(x-1) ogf] A140360 21.4647 [-5*x*(x+2)/(x-1)/(2*x+1)/(3*x^2+x+1) lgdogf] A140360 7.23536 [{-a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=5} ogf] A140402 7.78362 [-x^4*(x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A140403 7.09729 [-8*x^4*(x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A140404 43.4426 [-42/(-1+7*x) lgdogf] A140404 5.02493 [{(-n-2)*a(n+2)+(49+7*n)*a(n+1),a(0)=1,a(1)=42} ogf] A140404 6.26639 [1/(7*x-1)^6 ogf] A140405 46.4868 [-35/(-1+5*x) lgdogf] A140405 5.37173 [{(-n-2)*a(n+2)+(40+5*n)*a(n+1),a(0)=1,a(1)=35} ogf] A140405 6.18916 [-1/(5*x-1)^7 ogf] A140406 4.83895 [{(-n-2)*a(n+2)+(64+8*n)*a(n+1),a(0)=1,a(1)=56} ogf] A140406 41.8199 [-56/(-1+8*x) lgdogf] A140406 5.18110 [-1/(8*x-1)^7 ogf] A140407 12.8867 [-(3*x^2+3*x+1)/(x+1)/(2*x^2-1) ogf] A140407 13.0686 [-(2+10*x+12*x^3+6*x^4+15*x^2)/(x+1)/(3*x^2+3*x+1)/(2*x^2-1) lgdogf] A140407 6.71872 [-(50*f(x)+19)*(2*f(x)*x^3+2*f(x)*x^2-f(x)*x+3*x^2-f(x)+3*x+1) ogf] A140407 7.01867 [{-a(n+3)-a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A140413 12.7119 [-(x-1)^2/(x+1)/(x^2+4*x-1) ogf] A140413 17.3272 [-(-1-13*x+x^3-3*x^2)/(x-1)/(x+1)/(x^2+4*x-1) lgdogf] A140413 6.80199 [(143*f(x)+61)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A140413 6.92346 [{-a(n+3)+3*a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=9} ogf] A140420 4.69263 [(34*f(x)-5)*(6*f(x)*x^4-5*f(x)*x^3-5*f(x)*x^2+3*x^3+5*f(x)*x-2*x^2-f(x)+x) ogf] A140420 7.83594 [-(3-4*x+44*x^3+36*x^5-51*x^4-20*x^2)/(x-1)/(3*x-1)/(-1+2*x)/(x+1)/(3*x^2-2*x+1) lgdogf] A140420 8.61388 [-x*(3*x^2-2*x+1)/(x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A140426 10.2672 [-(1+x^2)*(4*x^8+8*x^7+2*x^6+8*x^5+8*x^4+4*x^3+2*x^2+4*x+1)/(2*x^6-1)/(2*x^5+2*x^4+x^3+2*x^2+x+1) lgdogf] A140426 13.7349 [-(2*x^5+2*x^4+x^3+2*x^2+x+1)/(2*x^6-1) ogf] A140427 8.93195 [x^4*(x^4+x^3+x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A140428 6.80883 [-(1+12*x^3+3*x^8-8*x^7+8*x^6-4*x^5+x^4-10*x^2+12*x^9)/(-1+2*x)/(x+1)/(x^2-x+1)/(x^2+x-1)/(3*x^4-x^2+2*x-1) lgdogf] A140428 7.55054 [-x*(3*x^4-x^2+2*x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A140429 11.0606 [-f(x)*(3*f(x)*x-f(x)+x) ogf] A140429 22.5026 [-x/(3*x-1) ogf] A140429 49.4376 [1/3*ln(1+3*x) revegf] A140429 58.4263 [-3/(-1+3*x) lgdogf] A140429 9.19121 [{-a(n+2)+3*a(n+1),a(0)=0,a(1)=1} ogf] A140430 11.7566 [-(2*x^2-x+3)/(x-1)/(x+1)/(x^2-x+1) ogf] A140430 5.40829 [-(2+4*x+14*x^3+4*x^5-5*x^4-11*x^2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^2-x+3) lgdogf] A140430 6.02647 [-(102*f(x)-899)*(f(x)*x^4-f(x)*x^3+f(x)*x+2*x^2-f(x)-x+3) ogf] A140431 10.0903 [-2*x*(x^2+x-1)/(x-1)/(3*x-1)/(2*x+1) ogf] A140431 10.5899 [-(1+8*x+12*x^3+6*x^4-21*x^2)/(x-1)/(-1+3*x)/(2*x+1)/(x^2+x-1) lgdogf] A140431 4.96873 [{-a(n+4)+2*a(n+3)+5*a(n+2)-6*a(n+1),a(0)=0,a(1)=2,a(2)=2,a(3)=12} ogf] A140431 5.51153 [-(5*f(x)+2)*(6*f(x)*x^3-5*f(x)*x^2+2*x^3-2*f(x)*x+2*x^2+f(x)-2*x) ogf] A140455 13.6152 [1/2/x*(-1-13*x+(1+26*x+173*x^2)^(1/2)) revogf] A140455 13.8433 [-x/(x^2+13*x-1) ogf] A140455 23.5171 [-(13+2*x)/(x^2-1+13*x) lgdogf] A140455 6.41521 [{-a(n+2)+13*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A140455 8.76746 [-f(x)*x^2-13*f(x)*x+f(x)-x ogf] A140462 12.2447 [-(x^2+1)*(5*x^3+14*x^2+8*x+3)/(x-1)/(x^2+x+1)/(x^3+2*x^2+x+1) lgdogf] A140462 6.41691 [x^3*(x^3+2*x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A140477 27.8788 [[127-127*x] ogf_with_Euler_transform] A140477 46.6313 [-127+(1+x)*f(x) lgdogf] A140477 6.58362 [{(-n-2)*a(n+2)+(126-n)*a(n+1),a(0)=1,a(1)=127} ogf] A140494 13.6560 [(3*x^4+8*x^3+1)/(x-1)^2 ogf] A140494 16.2253 [2*(-1-2*x^3+3*x^4-12*x^2)/(x-1)/(3*x^4+8*x^3+1) lgdogf] A140495 6.93027 [-x*(9*x^11+3*x^10+6*x^9+3*x^5+3*x^4+3*x^3+3*x^2+2*x+1)/(3*x^9-3*x^6+3*x^3-1) ogf] A140498 14.0454 [-(x^2+1)/(3*x^3-3*x^2+3*x-1) ogf] A140498 16.3901 [-(3-4*x+3*x^4+6*x^2)/(x^2+1)/(3*x^3-3*x^2+3*x-1) lgdogf] A140498 7.08482 [-(15*f(x)+13)*(3*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1) ogf] A140498 7.14809 [{a(n+3)-3*a(n+2)+3*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A140500 10.7132 [(x-1)*(x^4-x^3-2*x-1)/(x^6-x^3+1) ogf] A140500 11.0269 [-(-1+4*x+6*x^3+3*x^8-6*x^7+3*x^6+6*x^5-3*x^4+x^10-6*x^2-4*x^9)/(x-1)/(x^4-x^3-2*x-1)/(x^6-x^3+1) lgdogf] A140504 10.4655 [-2*f(x)*x^2+3*f(x)*x-f(x)-9*x+5 ogf] A140504 14.6517 [-(9*x-5)/(2*x-1)/(x-1) ogf] A140504 16.1398 [-1/2*(-5-3*x+(25-6*x+x^2)^(1/2))/(9+2*x) revogf] A140504 16.1398 [-2*(3-10*x+9*x^2)/(9*x-5)/(x-1)/(-1+2*x) lgdogf] A140504 8.04056 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=5,a(1)=6} ogf] A140505 12.3026 [-(1-6*x-8*x^3+20*x^4-23*x^2)/(2*x+1)/(-1+2*x)/(x+1)/(5*x^2-x-2) lgdogf] A140505 12.8226 [(5*x^2-x-2)/(2*x+1)/(2*x-1)/(x+1) ogf] A140505 6.62862 [-(17*f(x)-138)*(4*f(x)*x^3+4*f(x)*x^2-f(x)*x-5*x^2-f(x)+x+2) ogf] A140505 6.98372 [{-a(n+3)-a(n+2)+4*a(n+1)+4*a(n),a(0)=2,a(1)=-1,a(2)=4} ogf] A140520 32.5819 [-50+(1-5*x)*f(x) lgdogf] A140520 5.02493 [{(-n-2)*a(n+2)+(55+5*n)*a(n+1),a(0)=1,a(1)=50} ogf] A140526 11.7586 [-(4+9*x+8*x^3+x^5+8*x^2)/(x-1)/(x^4+4*x^2+1) lgdegf] A140529 14.4929 [-(2*x-5)/(4*x-1)/(x-1) ogf] A140529 14.8753 [-1/4*(-5-5*x+(25+42*x+9*x^2)^(1/2))/(2*x+1) revogf] A140529 15.9910 [-(23-40*x+8*x^2)/(-5+2*x)/(x-1)/(-1+4*x) lgdogf] A140529 7.41117 [(75*f(x)+154)*(4*f(x)*x^2-5*f(x)*x+f(x)+2*x-5) ogf] A140529 7.85761 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=5,a(1)=23} ogf] A140576 8.49468 [x*(x+1)*(x^2+1)*(x^4+1)/(x-1)/(3*x^4+1)/(3*x^4-1) ogf] A140590 2.90895 [-(5*x^2+x-3)/(x-1)/(2*x+1)/(2*x-1) ogf] A140590 7.1107 [(9996*f(x)+31427)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+5*x^2+f(x)+x-3) ogf] A140657 17.5534 [(5*x-4)/(x+1)/(2*x-1) ogf] A140657 20.1509 [-(7-4*x+16*x^2)/(8*x-1)/(-1+2*x)/(x+1) lgdogf] A140657 20.6956 [-1/4*(x-1+(9*x^2+30*x+1)^(1/2))/(4+x) revogf] A140657 8.4936 [-(204*f(x)-815)*(2*f(x)*x^2+f(x)*x-f(x)-5*x+4) ogf] A140657 9.63299 [{a(n+2)-a(n+1)-2*a(n),a(0)=4,a(1)=-1} ogf] A140659 12.1399 [x^2*(2*x^2+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A140659 9.16854 [-2*(-1-2*x-2*x^3+6*x^6-2*x^5+5*x^4+2*x^2)/(x-1)/(-1+2*x)/(x+1)/(2*x^2+1)/(x^2+1) lgdogf] A140660 14.0052 [-(7*x-4)/(4*x-1)/(x-1) ogf] A140660 14.3649 [-1/2*(-4-5*x+(16+12*x+9*x^2)^(1/2))/(7+4*x) revogf] A140660 15.4423 [-(13-32*x+28*x^2)/(x-1)/(7*x-4)/(-1+4*x) lgdogf] A140660 6.92565 [-(33*f(x)+37)*(4*f(x)*x^2-5*f(x)*x+f(x)+7*x-4) ogf] A140660 7.59317 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=4,a(1)=13} ogf] A140672 12.5476 [x*(5*x-8)/(x-1)^3 ogf] A140672 28.1544 [-(-19+10*x)/(x-1)/(5*x-8) lgdogf] A140672 6.38582 [(405*f(x)-7469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+8*x) ogf] A140672 6.38582 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=8,a(2)=19} ogf] A140673 12.5476 [3*x*(2*x-3)/(x-1)^3 ogf] A140673 30.6026 [-(-7+4*x)/(x-1)/(2*x-3) lgdogf] A140673 6.38582 [-(f(x)-26)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+9*x) ogf] A140673 6.38582 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=21} ogf] A140674 12.4617 [x*(7*x-10)/(x-1)^3 ogf] A140674 27.3626 [-(-23+14*x)/(x-1)/(7*x-10) lgdogf] A140674 6.02317 [-(4023*f(x)-142753)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+10*x) ogf] A140674 6.39628 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=23} ogf] A140675 12.5270 [x*(8*x-11)/(x-1)^3 ogf] A140675 27.5082 [-(-25+16*x)/(x-1)/(8*x-11) lgdogf] A140675 6.26349 [(2349*f(x)-110677)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+11*x) ogf] A140675 6.42977 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=25} ogf] A140676 12.6033 [x*(x-7)/(x-1)^3 ogf] A140676 32.1412 [-2*(-10+x)/(x-1)/(x-7) lgdogf] A140676 6.41419 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=20} ogf] A140676 7.27113 [(15228*f(x)-70993)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+7*x) ogf] A140677 12.5806 [x*(5*x-11)/(x-1)^3 ogf] A140677 26.6070 [-2*(-14+5*x)/(x-1)/(5*x-11) lgdogf] A140677 6.34498 [(3780*f(x)-49283)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+11*x) ogf] A140677 6.45728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=28} ogf] A140678 12.5806 [x*(7*x-13)/(x-1)^3 ogf] A140678 26.6070 [-2*(-16+7*x)/(x-1)/(7*x-13) lgdogf] A140678 6.23652 [(33372*f(x)-682879)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+13*x) ogf] A140678 6.45728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=32} ogf] A140679 12.0366 [x*(11*x-17)/(x-1)^3 ogf] A140679 24.1015 [-2*(-20+11*x)/(x-1)/(11*x-17) lgdogf] A140679 5.96771 [(49788*f(x)-2190083)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+17*x) ogf] A140679 6.28458 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=17,a(2)=40} ogf] A140680 12.0999 [x*(13*x-19)/(x-1)^3 ogf] A140680 24.2304 [-2*(-22+13*x)/(x-1)/(13*x-19) lgdogf] A140680 5.99912 [(59292*f(x)-3615325)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-13*x^2-f(x)+19*x) ogf] A140680 6.31765 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=19,a(2)=44} ogf] A140681 12.0999 [3*x*(5*x-7)/(x-1)^3 ogf] A140681 29.2784 [-2*(5*x-8)/(x-1)/(5*x-7) lgdogf] A140681 5.99912 [-(860*f(x)-70551)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+21*x) ogf] A140681 6.31765 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=48} ogf] A140683 15.5674 [-(x-4)/(2*x+1)/(x-1) ogf] A140683 18.0913 [-1/2*(-4-x+(16+12*x+9*x^2)^(1/2))/(2*x+1) revogf] A140683 21.1926 [-(5-16*x+2*x^2)/(x-1)/(2*x+1)/(x-4) lgdogf] A140683 7.69817 [-(21*f(x)+59)*(2*f(x)*x^2-f(x)*x-f(x)+x-4) ogf] A140683 8.54310 [{a(n+2)+a(n+1)-2*a(n),a(0)=-4,a(1)=5} ogf] A140684 11.6062 [-x*(7*x^4-3*x^3-x^2+5*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A140684 8.76286 [-2*(3-x+17*x^3-8*x^8+x^7+14*x^6-7*x^5-13*x^4-4*x^2+7*x^9)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(7*x^4-3*x^3-x^2+5*x+1) lgdogf] A140689 12.0999 [x*(17*x-23)/(x-1)^3 ogf] A140689 24.2304 [-2*(-26+17*x)/(x-1)/(17*x-23) lgdogf] A140689 5.99912 [(11556*f(x)-1243607)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-17*x^2-f(x)+23*x) ogf] A140689 6.31765 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=23,a(2)=52} ogf] A140701 4.33560 [{(3*n^2+15*n+20)*a(n+1)-2*a(n+2),a(0)=1,a(1)=4} ogf] A140712 16.4705 [-2*(9-8*x+x^2)/(x-1)/(x^2-6*x+6) lgdegf] A140712 3.74747 [(5280*f(x)+92017)*(6*f(x)*x^4-24*f(x)*x^3+36*f(x)*x^2-x^3-24*f(x)*x+6*x^2+6*f(x)-6*x) egf] A140712 7.05116 [1/6*x*(x^2-6*x+6)/(x-1)^4 egf] A140716 11.9265 [-(x^2-18*x-7)/(x+1)/(x-1)^2 ogf] A140716 15.4017 [-(-25-37*x+x^3-35*x^2)/(x-1)/(x+1)/(x^2-18*x-7) lgdogf] A140716 6.37453 [(57*f(x)+2120)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-18*x-7) ogf] A140716 6.48637 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=25,a(2)=31} ogf] A140718 7.27733 [-(1711*x^16-1682*x^12-1622*x^8+1566*x^4+31)/(x+1)^2/(x^2+1)^2/(x^4+1)^2/(x-1)^3 ogf] A140721 10.7312 [{-a(n+2)+4*a(n),a(0)=1,a(1)=-7} ogf] A140721 16.7512 [(7*x-1)/(2*x-1)/(2*x+1) ogf] A140721 18.1143 [-(7-8*x+28*x^2)/(2*x+1)/(-1+2*x)/(7*x-1) lgdogf] A140721 18.5788 [1/2/(-7+4*x)*(-1+(1-28*x+16*x^2)^(1/2)) revogf] A140721 9.40818 [-(53*f(x)+41)*(4*f(x)*x^2-f(x)-7*x+1) ogf] A140724 10.6591 [-(3*x^4-3*x^3+x^2+3*x+1)/(x-1)/(x^4-x^3+x^2-x+1) ogf] A140724 9.53606 [-(5-2*x+28*x^3+3*x^8-6*x^7+3*x^6+20*x^5-35*x^4-11*x^2)/(x-1)/(x^4-x^3+x^2-x+1)/(3*x^4-3*x^3+x^2+3*x+1) lgdogf] A140725 13.5197 [-x*(3*x+1)/(2*x+1)/(3*x-1) ogf] A140725 15.9165 [-2*(2+6*x+9*x^2)/(-1+3*x)/(2*x+1)/(3*x+1) lgdogf] A140725 16.3144 [1/6*(-1-x+(1+14*x+25*x^2)^(1/2))/(2*x+1) revogf] A140725 6.55905 [{a(n+3)-a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A140725 7.79368 [-f(x)*(6*f(x)*x^2+f(x)*x+3*x^2-f(x)+x) ogf] A140730 13.2023 [-(4*x^3+3*x^2+2*x+1)/(5*x^4-1) ogf] A140730 8.55150 [{-a(n+4)+5*a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=4} ogf] A140730 8.64979 [-(5*f(x)+1)*(5*f(x)*x^4+4*x^3+3*x^2-f(x)+2*x+1) ogf] A140730 9.96995 [-2*(1+3*x+10*x^3+10*x^6+15*x^5+15*x^4+6*x^2)/(5*x^4-1)/(4*x^3+3*x^2+2*x+1) lgdogf] A140758 8.15772 [x*(x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A140766 10.5849 [-1/2*(-1-6*x+((2*x+1)*(6*x+1))^(1/2))/(6*x+1) revogf] A140766 13.6092 [-(5-12*x+6*x^2)/(x-1)/(6*x^2-6*x+1) lgdogf] A140766 16.0315 [-(x-1)/(6*x^2-6*x+1) ogf] A140766 8.38858 [(18*f(x)+7)*(6*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A140766 8.79777 [{-a(n+2)+6*a(n+1)-6*a(n),a(0)=1,a(1)=5} ogf] A140780 15.5535 [-(7*x-1)/(x^2-10*x+1) ogf] A140780 20.0938 [-(3-2*x+7*x^2)/(7*x-1)/(x^2-10*x+1) lgdogf] A140780 7.61131 [-(832*f(x)-751)*(f(x)*x^2-10*f(x)*x+f(x)+7*x-1) ogf] A140780 8.62002 [{a(n+2)-10*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A140781 2.93578 [{a(n+2)-10*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A140781 5.29717 [-(8*x-1)/(x^2-10*x+1) ogf] A140781 6.66887 [-2*(1-x+4*x^2)/(8*x-1)/(x^2-10*x+1) lgdogf] A140781 7.94959 [-(9*f(x)-7)*(f(x)*x^2-10*f(x)*x+f(x)+8*x-1) ogf] A140787 13.6742 [1/(x+1)/(2*x+1)/(2*x-1)^2 ogf] A140787 16.8316 [-(1+14*x+16*x^2)/(2*x+1)/(-1+2*x)/(x+1) lgdogf] A140787 5.4921 [-(14*f(x)+5)*(8*f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2-f(x)*x+f(x)-1) ogf] A140788 12.9017 [-2*(7*x-4)/(4*x-1)/(x-1) ogf] A140788 13.5143 [-1/4*(-8-5*x+(64+24*x+9*x^2)^(1/2))/(7+2*x) revogf] A140788 14.5279 [-(13-32*x+28*x^2)/(x-1)/(7*x-4)/(-1+4*x) lgdogf] A140788 6.45087 [-(33*f(x)+74)*(4*f(x)*x^2-5*f(x)*x+f(x)+14*x-8) ogf] A140788 7.15036 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=8,a(1)=26} ogf] A140796 12.4791 [-(x+1)*(3*x+1)/(2*x+1)/(3*x-1) ogf] A140796 13.7949 [-(5+18*x+21*x^2)/(-1+3*x)/(2*x+1)/(3*x+1)/(x+1) lgdogf] A140796 6.42130 [{a(n+3)-a(n+2)-6*a(n+1),a(0)=1,a(1)=5,a(2)=14} ogf] A140796 7.0361 [(2+23*f(x))*(6*f(x)*x^2+f(x)*x+3*x^2-f(x)+4*x+1) ogf] A140801 12.9698 [-f(x)*x^2+2*f(x)*x-f(x)+360*x+360 ogf] A140801 17.7342 [360*(x+1)/(x-1)^2 ogf] A140801 41.1047 [[3-x] ogf_with_Euler_transform] A140801 9.98822 [{-a(n+2)+2*a(n+1)-a(n),a(0)=360,a(1)=1080} ogf] A140802 11.5747 [1/(8*x-1)^4 ogf] A140802 5.16409 [-(f(x)+1)*(4096*f(x)*x^4-2048*f(x)*x^3+384*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A140802 54.9629 [-32/(-1+8*x) lgdogf] A140802 6.33332 [{(-n-2)*a(n+2)+(40+8*n)*a(n+1),a(0)=1,a(1)=32} ogf] A140806 8.04546 [(x+1)*(x^2+1)*(15*x^4+1)/(x^4-2*x^3+2*x^2+2*x+1)/(x^4+2*x^3+2*x^2-2*x+1) ogf] A140811 13.2297 [-(5*x^2+8*x-1)/(x-1)^3 ogf] A140811 23.3998 [-(x+5)*(1+5*x)/(x-1)/(5*x^2+8*x-1) lgdogf] A140811 7.07906 [(71*f(x)-325)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+8*x-1) ogf] A140811 7.14170 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=5,a(2)=23} ogf] A140823 14.3234 [-(x^15-x^14+x-2)/(x-1)^2 ogf] A140823 17.3582 [(3-x-27*x^14+14*x^13+13*x^15)/(x-1)/(x^15-x^14+x-2) lgdogf] A140824 11.9925 [-(3-6*x-4*x^3+2*x^5-3*x^4+12*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-3*x+1) lgdogf] A140824 12.1510 [-x*(x-1)*(x+1)/(x^2+1)/(x^2-3*x+1) ogf] A140824 6.21903 [(39*f(x)+25)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2+x^3-3*f(x)*x+f(x)-x) ogf] A140827 10.9878 [-(1+4*x+8*x^3+3*x^8-5*x^6-6*x^5+3*x^4+x^10+9*x^2)/(x^6-4*x^3+1)/(x^5+x^3-2*x^2-x-1) lgdogf] A140827 12.7004 [-(x^5+x^3-2*x^2-x-1)/(x^6-4*x^3+1) ogf] A140829 6.87245 [(x^3+x+1)*(x^9-x-1)/(x+1)/(x^4+x^2-1) ogf] A140833 15.0690 [2*(x+1)*x/(x^2+x-1)/(x^2-x-1) ogf] A140833 9.39596 [-f(x)*(f(x)*x^4-3*f(x)*x^2-2*x^2+f(x)-2*x) ogf] A140870 6.96834 [-(443*x^4+6268*x^3+6298*x^2+428*x+3)/(x-1)^5 ogf] A140870 8.55349 [-(443+14308*x+14308*x^3+443*x^4+37698*x^2)/(x-1)/(443*x^4+6268*x^3+6298*x^2+428*x+3) lgdogf] A140898 11.9784 [-136*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A140898 18.7355 [-x/(136*x^2+2*x-1) ogf] A140898 18.9882 [1/272/x*(-2*x-1+(1+4*x+548*x^2)^(1/2)) revogf] A140898 25.7697 [-2*(1+136*x)/(136*x^2-1+2*x) lgdogf] A140898 8.80343 [{-a(n+2)+2*a(n+1)+136*a(n),a(0)=0,a(1)=1} ogf] A140901 5.05162 [{(n^3+24*n^2+191*n+504)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=56} ogf] A140903 5.15174 [{(n^3+27*n^2+242*n+720)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=84} ogf] A140904 4.09434 [{(-n^4-38*n^3-539*n^2-3382*n-7920)*a(n+1)+(n^4+14*n^3+71*n^2+154*n+120)*a(n+2),a(0)=1,a(1)=210} ogf] A140907 4.75185 [{(n^3+30*n^2+299*n+990)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=120} ogf] A140908 4.04652 [{(-n^4-42*n^3-659*n^2-4578*n-11880)*a(n+1)+(n^4+14*n^3+71*n^2+154*n+120)*a(n+2),a(0)=1,a(1)=330} ogf] A140912 4.55783 [{(n^3+33*n^2+362*n+1320)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=165} ogf] A140913 3.88316 [{(-n^4-46*n^3-791*n^2-6026*n-17160)*a(n+1)+(n^4+14*n^3+71*n^2+154*n+120)*a(n+2),a(0)=1,a(1)=495} ogf] A140918 4.43454 [{(n^3+36*n^2+431*n+1716)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=220} ogf] A140919 3.71854 [{(-n^4-50*n^3-935*n^2-7750*n-24024)*a(n+1)+(n^4+14*n^3+71*n^2+154*n+120)*a(n+2),a(0)=1,a(1)=715} ogf] A140925 5.95773 [{(n^2+25*n+156)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=66} ogf] A140926 4.67210 [{(n^3+39*n^2+506*n+2184)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=286} ogf] A140927 3.88485 [{(-n^4-54*n^3-1091*n^2-9774*n-32760)*a(n+1)+(n^4+14*n^3+71*n^2+154*n+120)*a(n+2),a(0)=1,a(1)=1001} ogf] A140934 5.67165 [{(n^2+27*n+182)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=78} ogf] A140935 4.38565 [{(n^3+42*n^2+587*n+2730)*a(n+1)+(-n^3-9*n^2-26*n-24)*a(n+2),a(0)=1,a(1)=364} ogf] A140949 7.22182 [-(x^26-2*x^25+x^24+x^9-2*x^8+x^7+x^4-2*x^2+3)/(x+1)/(x-1)^3 ogf] A140952 6.19069 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A140955 5.76770 [-2/(x-1) lgdogf] A140960 12.8205 [4*f(x)*x^3-3*f(x)*x-2*x^2+f(x) ogf] A140960 21.8296 [2*x^2/(x+1)/(2*x-1)^2 ogf] A140960 32.0280 [-3*(1+2*x)/(x+1)/(-1+2*x) lgdogf] A140960 8.77928 [{a(n+3)-3*a(n+2)+4*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A140961 12.7030 [(2*x-1)/(6*x-1)/(8*x-1)/(5*x-1) ogf] A140961 6.13978 [{a(n+3)-19*a(n+2)+118*a(n+1)-240*a(n),a(0)=1,a(1)=17,a(2)=205} ogf] A140961 6.3515 [(60179*f(x)-58640)*(240*f(x)*x^3-118*f(x)*x^2+19*f(x)*x-f(x)-2*x+1) ogf] A140962 12.8413 [-(x+1)*x/(2*x+1)/(x-1)^2 ogf] A140962 21.6767 [-(1+7*x+4*x^2)/(x-1)/(1+2*x)/(x+1) lgdogf] A140962 7.31814 [{-a(n+3)+3*a(n+1)-2*a(n),a(0)=0,a(1)=-1,a(2)=-1} ogf] A140962 7.31815 [-(f(x)-1)*(2*f(x)*x^3-3*f(x)*x^2+x^2+f(x)+x) ogf] A140966 13.4307 [-(3*x+2)/(2*x+1)/(x-1) ogf] A140966 16.8085 [1/2/(3+2*x)*(-2+x+(4+8*x+9*x^2)^(1/2)) revogf] A140966 17.7423 [-(1+8*x+6*x^2)/(x-1)/(3*x+2)/(1+2*x) lgdogf] A140966 6.94692 [(22*f(x)-43)*(2*f(x)*x^2-f(x)*x-f(x)+3*x+2) ogf] A140966 7.37051 [{-a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=1} ogf] A140976 4.52939 [-2*(x^6+2*x^4+3*x^2+4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A140983 13.0388 [(x^2+2*x+2*ln(x+1)*x+2*ln(x+1))/(x+1)/(x+2)^2 revegf] A140986 3.72599 [-2*x^2*(931*x^6+4848*x^5+8619*x^4+4864*x^3+849*x^2+48*x+1)/(x-1)^9 ogf] A140986 5.68112 [-3*(x+1)*(931*x^5+7395*x^4+15050*x^3+6170*x^2+675*x+19)/(x-1)/(931*x^6+4848*x^5+8619*x^4+4864*x^3+849*x^2+48*x+1) lgdogf] A140991 7.59347 [x*(7*x^4+8*x^3-8*x^2+1)/(2*x-1)/(x+1)^2/(x-1)^3 ogf] A140991 7.64853 [-(-3+13*x+4*x^3+28*x^6+55*x^5-29*x^4-20*x^2)/(x-1)/(-1+2*x)/(x+1)/(7*x^4+8*x^3-8*x^2+1) lgdogf] A140992 13.4140 [-(-2-x^3+2*x^5-x^4+3*x^2)/(x-1)/(x^2+x-1)/(x^3-x+1) lgdogf] A140992 4.48189 [-(3*f(x)-2)*(f(x)*x^5+f(x)*x^4-3*f(x)*x^3+x^4-f(x)*x^2+3*f(x)*x-x^2-f(x)+x) ogf] A140992 8.57646 [-x*(x^3-x+1)/(x-1)/(x^2+x-1)^2 ogf] A141000 8.69970 [(4+14*x-3*x^3+4*x^8+5*x^7-9*x^6-10*x^5-2*x^4+13*x^2)/(x-1)/(x+1)/(x^7+2*x^6+2*x^4-x^3-4*x^2-3*x-1) lgdogf] A141000 8.91801 [-x*(x^7+2*x^6+2*x^4-x^3-4*x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A141001 5.76771 [-(x^13-x^12-2*x^9+2*x^8-x^7+x^6+x^5-x^3+2*x^2-2*x+1)/(x^2+1)/(x-1)^3 ogf] A141003 21.1960 [exp(4*x)+exp(x)+exp(2*x) lgdegf] A141006 21.3671 [exp(9*x)+exp(x)+exp(3*x) lgdegf] A141009 33.9985 [exp(13*x)+exp(x) lgdegf] A141012 11.6234 [-(7-26*x+91*x^2)/(x-1)/(13*x-1)/(7*x-1) lgdogf] A141012 4.44051 [{-a(n+3)+14*a(n+2)-13*a(n+1),a(0)=0,a(1)=2,a(2)=14} ogf] A141012 5.49778 [f(x)*(13*f(x)*x^2-14*f(x)*x+14*x^2+f(x)-2*x) ogf] A141012 8.88102 [-2*x*(7*x-1)/(13*x-1)/(x-1) ogf] A141013 2.71923 [-(268304400*f(x)-2628211163)*(196*f(x)*x^4-336*f(x)*x^3+336*x^4+163*f(x)*x^2-326*x^3-24*f(x)*x+72*x^2+f(x)-4*x) ogf] A141013 5.08759 [-2*x*(168*x^3-163*x^2+36*x-2)/(x-1)/(14*x-1)/(2*x-1)/(7*x-1) ogf] A141014 2.88411 [-(793800*f(x)+716099)*(225*f(x)*x^4-360*f(x)*x^3+360*x^4+158*f(x)*x^2-316*x^3-24*f(x)*x+72*x^2+f(x)-4*x) ogf] A141014 5.17899 [-4*x*(90*x^3-79*x^2+18*x-1)/(x-1)/(15*x-1)/(3*x-1)/(5*x-1) ogf] A141015 11.4466 [-(x+1)*x/(x^3+2*x^2+x-1) ogf] A141015 15.2894 [-(2+4*x+2*x^3+5*x^2)/(x+1)/(x^3+2*x^2+x-1) lgdogf] A141015 5.87800 [{a(n+3)-a(n+2)-2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A141015 7.67597 [f(x)*x^3+2*f(x)*x^2+f(x)*x+x^2-f(x)+x ogf] A141016 2.91357 [f(x)*x^3+2*f(x)*x-f(x)+x ogf] A141016 33.1408 [-(2+3*x^2)/(-1+2*x+x^3) lgdogf] A141016 4.64597 [-x/(x^3+2*x-1) ogf] A141023 10.271 [-2*f(x)*x^3+f(x)*x^2+2*f(x)*x+3*x^2-f(x) ogf] A141023 18.4878 [3*x^2/(x-1)/(2*x-1)/(x+1) ogf] A141023 22.9123 [-2*(-1-x+3*x^2)/(x-1)/(-1+2*x)/(x+1) lgdogf] A141023 7.56320 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A141025 11.0354 [-(6*x^3-x^2-2*x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A141025 11.2906 [-(-1+3*x+5*x^3+12*x^5+8*x^4-11*x^2)/(x-1)/(-1+2*x)/(x+1)/(6*x^3-x^2-2*x+1) lgdogf] A141025 4.33535 [{(-4*n-6)*a(n+1)+(2*n-1)*a(n+2)+(4*n+4)*a(n+3)+(-2*n-1)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A141025 6.02644 [-(2*f(x)-5)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+6*x^3+3*f(x)*x-x^2-f(x)-2*x+1) ogf] A141032 10.9572 [-16*f(x)*x^2+17*f(x)*x-f(x)+4*x ogf] A141032 11.0865 [-1/32*(-17*x-4+(9*x+4)^(1/2)*(25*x+4)^(1/2))/x revogf] A141032 13.2943 [4*x/(16*x-1)/(x-1) ogf] A141032 19.6145 [-(-17+32*x)/(16*x-1)/(x-1) lgdogf] A141032 6.24671 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=0,a(1)=4} ogf] A141035 7.71166 [2*x^2*(x+1)*(x^4+x^3+2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A141036 11.2728 [(2*x^2+x-2)/(x^3+x^2+x-1) ogf] A141036 13.7456 [-(-1+2*x^3+2*x^4-7*x^2)/(2*x^2+x-2)/(x^3+x^2+x-1) lgdogf] A141036 5.87727 [-(25*f(x)-47)*(f(x)*x^3+f(x)*x^2+f(x)*x-2*x^2-f(x)-x+2) ogf] A141036 6.13964 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=1,a(2)=1} ogf] A141038 14.9528 [(x+1)*(x-2)/(x^3+x^2-1) ogf] A141038 17.0764 [-(-1-2*x-2*x^3+x^4-7*x^2)/(x-2)/(x+1)/(x^3+x^2-1) lgdogf] A141038 8.60918 [-(23*f(x)-38)*(f(x)*x^3+f(x)*x^2-x^2-f(x)+x+2) ogf] A141038 9.06712 [{-a(n+3)+a(n+1)+a(n),a(0)=2,a(1)=1,a(2)=1} ogf] A141041 13.4635 [(3*x-1)/(3*x^2+6*x-1) ogf] A141041 15.2226 [-3*(3*x+1)*(x-1)/(-1+3*x)/(3*x^2+6*x-1) lgdogf] A141041 6.96391 [(52*f(x)-43)*(3*f(x)*x^2+6*f(x)*x-f(x)-3*x+1) ogf] A141041 7.38852 [{-a(n+2)+6*a(n+1)+3*a(n),a(0)=1,a(1)=3} ogf] A141044 11.8011 [{-a(n+3)+a(n+2),a(0)=2,a(1)=2,a(2)=1} ogf] A141044 13.2172 [-(f(x)-2)*(f(x)*x-x^2-f(x)+2) ogf] A141044 24.1779 [(x^2-2)/(x-1) ogf] A141044 38.9071 [(2-2*x+x^2)/(x-1)/(x^2-2) lgdogf] A141046 17.0959 [-2*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A141046 4.52319 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+32*n+72)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=4,a(2)=64} ogf] A141046 8.75457 [-4*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A141052 17.5583 [-12*(x+4)/(x-1)/(x^4-4*x^3+6*x^2+12) lgdegf] A141052 3.18852 [{(-n^2-3*n)*a(n)+(4*n^2+25*n+27)*a(n+1)+(-5*n^2-49*n-98)*a(n+2)+(5*n+15)*a(n+3),a(0)=1,a(1)=4,a(2)=21} ogf] A141052 3.95143 [(209425500*f(x)+192083969)*(12*f(x)*x^4-48*f(x)*x^3-x^4+72*f(x)*x^2+4*x^3-48*f(x)*x-6*x^2+12*f(x)-12) egf] A141052 7.40324 [1/12*(x^4-4*x^3+6*x^2+12)/(x-1)^4 egf] A141054 32.7512 [-72+(1-8*x)*f(x) lgdogf] A141054 5.04821 [{(-n-2)*a(n+2)+(80+8*n)*a(n+1),a(0)=1,a(1)=72} ogf] A141060 12.0562 [-(8*x-3)/(16*x-1)/(x-1) ogf] A141060 6.02811 [-(635*f(x)-56)*(16*f(x)*x^2-17*f(x)*x+f(x)+8*x-3) ogf] A141060 6.66638 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=3,a(1)=43} ogf] A141094 13.7183 [-(3*x^4+2*x^2+3)/(-x^6+1) ogf_with_Euler_transform] A141104 5.93628 [2*(2*x^12+x^11+x^10+2*x^9+x^8+x^7+2*x^6+x^5+x^4+2*x^3+x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A141109 2.02771 [(f(x)*x^2-2*f(x)*x+f(x)+2*x-4)^2 ogf] A141124 10.0413 [(x-1)*(x^2-6*x-1)/(x^2+1)^2 ogf] A141124 13.6158 [-(-5+18*x-14*x^3+x^4+12*x^2)/(x-1)/(x^2+1)/(x^2-6*x-1) lgdogf] A141124 6.2758 [(84*f(x)+121)*(f(x)*x^4+2*f(x)*x^2-x^3+7*x^2+f(x)-5*x-1) ogf] A141125 14.3726 [(4*x+1)/(4*x^2+1) ogf] A141125 16.3934 [-1/8*(-1+(1+16*x-16*x^2)^(1/2))/(-1+x) revogf] A141125 17.7986 [-4*(-1+2*x+4*x^2)/(4*x+1)/(4*x^2+1) lgdogf] A141125 8.66583 [(3*f(x)-19)*(4*f(x)*x^2+f(x)-4*x-1) ogf] A141125 9.20747 [{a(n+2)+4*a(n),a(0)=1,a(1)=4} ogf] A141134 4.72541 [-(x^5+2*x^4+3*x^3+5*x^2+6*x-1)/(x+1)^2/(x^2+1)^2 ogf] A141134 6.18490 [-(-8-8*x+29*x^3+x^7+3*x^6+6*x^5+14*x^4+3*x^2)/(x+1)/(x^2+1)/(x^5+2*x^4+3*x^3+5*x^2+6*x-1) lgdogf] A141146 3.43572 [{(-8*n^2-32*n-32)*a(n+1)+(-7*n^2-43*n-64)*a(n+2)+(n^2+7*n+10)*a(n+3),a(0)=0,a(1)=2,a(2)=14} ogf] A141213 3.67641 [-(x^30+12*x^29+4*x^2-4*x-3)/(5*x^30-4*x^29+2*x^3-3*x^2+1) ogf] A141221 3.42105 [-(1283258*f(x)+7786235)*(f(x)*x^4-10*f(x)*x^3+6*x^4+16*f(x)*x^2-58*x^3-8*f(x)*x+84*x^2+f(x)-30*x) ogf] A141221 5.73919 [-(78-422*x-852*x^3+3*x^6-58*x^5+368*x^4+881*x^2)/(x-1)/(3*x^3-29*x^2+42*x-15)/(x^3-9*x^2+7*x-1) lgdogf] A141221 6.44430 [-2*x*(3*x^3-29*x^2+42*x-15)/(x-1)/(x^3-9*x^2+7*x-1) ogf] A141222 3.21468 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2-64*f(x)*x^3+f(x)^2*x+48*f(x)*x^2-4*x^3-12*f(x)*x-8*x^2+f(x)+6*x-1 ogf] A141223 12.2326 [1/2/(9*x-2)*(-72*x+17+3*(1-4*x)^(1/2))/(-1+4*x) lgdogf] A141223 13.0667 [-1/2*(-3-17*x+(1+6*x+x^2)^(1/2))*x/(1+6*x)^2 revogf] A141223 3.78902 [{(36*n+90)*a(n+1)+(-17*n-47)*a(n+2)+(2*n+6)*a(n+3),a(0)=1,a(1)=5,a(2)=24} ogf] A141223 6.24785 [-36*f(x)^2*x^2+17*f(x)^2*x-2*f(x)^2-12*f(x)*x+3*f(x)-1 ogf] A141259 6.53586 [(x+1)*(x^5+x^3+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A141259 7.01950 [-(3-x+2*x^3-2*x^8+13*x^7+x^6+5*x^5+3*x^11+7*x^4+3*x^10+2*x^12+6*x^2+6*x^9)/(x-1)/(x+1)/(x^2+1)/(x^5+x^3+1)/(x^4+1) lgdogf] A141260 8.92531 [-(x^11+x^10+x^8+x^6+x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A141291 10.9838 [-(x+1)*x/(4*x-1)/(x-1)^2 ogf] A141291 16.6633 [-(-7+11*x+8*x^2)/(x-1)/(-1+4*x)/(x+1) lgdogf] A141291 5.64032 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A141291 5.85118 [(7*f(x)+1)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+x^2-f(x)+x) ogf] A141310 10.8089 [(4*f(x)+27)*(f(x)*x^4-2*f(x)*x^2+2*x^3-x^2+f(x)-2*x-1) ogf] A141317 14.1184 [8*x^2/(x-1)/(3*x-1)/(x+1) ogf] A141317 17.4670 [-(-3-2*x+9*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A141317 5.77573 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=0,a(1)=0,a(2)=8} ogf] A141317 7.84357 [-3*f(x)*x^3+f(x)*x^2+3*f(x)*x+8*x^2-f(x) ogf] A141318 18.5070 [4/(1+(1-8*x)^(1/2)) ogf_with_Euler_transform] A141325 9.22674 [-(x^4-x^2+1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A141325 9.64095 [-(1+8*x^3+x^8-2*x^6-4*x^5+3*x^4-2*x^2)/(x+1)/(x^2-x+1)/(x^2+x-1)/(x^4-x^2+1) lgdogf] A141326 4.14793 [-6*(x^3+18*x^2+15*x+2)/(x-1)^5 ogf] A141326 7.45876 [-(25+96*x+2*x^3+57*x^2)/(x-1)/(x^3+18*x^2+15*x+2) lgdogf] A141340 5.89160 [4*x^12+x^7+2 ogf_with_Euler_transform] A141342 5.04776 [f(x)^2*x^2+4*f(x)^2*x-4*f(x)*x^2-f(x)^2-4*f(x)*x+2*f(x)-1 ogf] A141342 6.53737 [(-2-17*x-4*x^3-16*x^2+((1+8*x+4*x^2)*(1+12*x+2*x^2)^2)^(1/2))/(1+8*x+4*x^2)/(x^2+4*x-1) lgdogf] A141344 6.87267 [-f(x)^2*x^2+8*f(x)^2*x-3*f(x)^2-12*f(x)*x+6*f(x)+4*x-3 ogf] A141344 7.84047 [-(6+21*x+8*x^3-10*x^2+3*((1+4*x)*(-1-6*x+4*x^2)^2)^(1/2))/(1+4*x)/(4*x-3)/(x^2-8*x+3) lgdogf] A141351 5.19637 [-f(x)^2*x^3+2*f(x)^2*x^2-2*f(x)*x^3-f(x)^2*x+3*f(x)*x^2-x^3-2*f(x)*x+f(x)+x-1 ogf] A141352 6.18928 [-(x^6-7*x^3-5*x^2-2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A141352 7.88102 [-(-1-11*x-24*x^3+x^8+x^7+x^6-22*x^5-32*x^4-21*x^2)/(x-1)/(x^2+x+1)/(x^6-7*x^3-5*x^2-2*x+1) lgdogf] A141353 4.42007 [-4*f(x)^2*x^3+4*f(x)^2*x^2-8*f(x)*x^3-f(x)^2*x+8*f(x)*x^2-4*x^3-4*f(x)*x+f(x)+2*x-1 ogf] A141354 16.6120 [-(-3-8*x+x^4-14*x^2)/(x-1)/(x+1)/(x^3-x^2-5*x+1) lgdogf] A141354 5.19404 [-(50*f(x)+287)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)-5*x+1) ogf] A141354 9.48477 [-(x^3-x^2-5*x+1)/(x+1)/(x-1)^3 ogf] A141355 10.7143 [-(4*x^3-2*x^2+x+1)/(8*x^2-1)/(x^2+1) ogf] A141355 6.69645 [(126*f(x)-85)*(8*f(x)*x^4+7*f(x)*x^2+4*x^3-2*x^2-f(x)+x+1) ogf] A141355 8.64685 [-(1+10*x+32*x^3+32*x^6-32*x^5-4*x^4+19*x^2)/(x^2+1)/(8*x^2-1)/(4*x^3-2*x^2+x+1) lgdogf] A141364 4.51813 [f(x)^2*x^3-2*f(x)^2*x^2-2*f(x)*x^3+f(x)^2*x+f(x)*x^2+x^3+2*f(x)*x+2*x^2-f(x)-3*x+1 ogf] A141365 6.35914 [-(x^6-2*x^4-7*x^3-5*x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A141365 8.21740 [-(1-9*x-20*x^3+x^8+x^7-5*x^6-24*x^5-34*x^4-19*x^2)/(x-1)/(x^2+x+1)/(x^6-2*x^4-7*x^3-5*x^2+1) lgdogf] A141384 3.6226 [(11229*f(x)-97193)*(f(x)*x^4-10*f(x)*x^3-4*x^4+16*f(x)*x^2+50*x^3-8*f(x)*x-96*x^2+f(x)+56*x-8) ogf] A141384 5.71624 [(4-32*x-168*x^3+5*x^6-32*x^5+116*x^4+109*x^2)/(x-1)/(2*x^4-25*x^3+48*x^2-28*x+4)/(x^3-9*x^2+7*x-1) lgdogf] A141384 6.35967 [2*(2*x^4-25*x^3+48*x^2-28*x+4)/(x-1)/(x^3-9*x^2+7*x-1) ogf] A141385 4.61589 [-(25807*f(x)-12975)*(f(x)*x^3-9*f(x)*x^2+7*f(x)*x+9*x^2-f(x)-14*x+3) ogf] A141385 5.06522 [{-a(n+3)+7*a(n+2)-9*a(n+1)+a(n),a(0)=3,a(1)=7,a(2)=31} ogf] A141385 9.03535 [-(7-36*x-28*x^3+9*x^4+72*x^2)/(9*x^2-14*x+3)/(x^3-9*x^2+7*x-1) lgdogf] A141385 9.23177 [-(9*x^2-14*x+3)/(x^3-9*x^2+7*x-1) ogf] A141397 11.3971 [-(x^2+x+1)/(x+1)/(3*x-1)/(x-1)^2 ogf] A141397 3.93200 [{(3*n+12)*a(n+1)+(-n-1)*a(n+2)+(-3*n-10)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=5,a(2)=19,a(3)=62} ogf] A141397 5.82519 [(1426*f(x)-2607)*(3*f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+x^2-f(x)+x+1) ogf] A141407 4.73830 [1/(6*x-1)^8 ogf] A141407 44.8592 [-48/(-1+6*x) lgdogf] A141407 5.18531 [{(-n-2)*a(n+2)+(54+6*n)*a(n+1),a(0)=1,a(1)=48} ogf] A141413 13.6008 [-3*f(x)*x-2*x^2-f(x)-x ogf] A141413 16.2546 [-x*(2*x+1)/(3*x+1) ogf] A141413 20.6792 [-1/4-3/4*x+1/4*(1-2*x+9*x^2)^(1/2) revogf] A141413 39.0608 [-1/(2*x+1)/(3*x+1) lgdogf] A141413 8.02940 [{a(n+3)+3*a(n+2),a(0)=0,a(1)=-1,a(2)=1} ogf] A141416 11.6929 [-(-1+4*x-8*x^3+2*x^6+12*x^5-7*x^4+2*x^2)/(1+x^2)/(2*x^2-1)/(x^3+3*x^2-x-1) lgdogf] A141416 12.0749 [-(x^3+3*x^2-x-1)/(x^2+1)/(2*x^2-1) ogf] A141416 7.771 [(4*f(x)+3)*(2*f(x)*x^4+f(x)*x^2+x^3+3*x^2-f(x)-x-1) ogf] A141425 13.5794 [-(8*x^5+7*x^4+5*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A141430 4.15400 [-(6*x^8-5*x^7+x^6+2*x^5+3*x^4+x^3+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A141446 5.68986 [(9*x^12+9*x^11+6*x^10+2*x^9-3*x^8-3*x^7-2*x^6-3*x^5-5*x^3-3*x^2-3*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1) ogf] A141448 11.8742 [-x/(x^5+x^4+x^3+x^2+2*x-1) ogf] A141448 13.3345 [-(2+2*x+4*x^3+5*x^4+3*x^2)/(x^2-1+2*x+x^4+x^3+x^5) lgdogf] A141448 4.86926 [-(6*f(x)+5)*(f(x)*x^5+f(x)*x^4+f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A141449 11.6565 [-(3*x^4+x^3+8*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A141449 7.01546 [{a(n+5)-a(n+2),a(0)=1,a(1)=2,a(2)=8,a(3)=2,a(4)=5} ogf] A141449 8.14699 [(34*f(x)+89)*(f(x)*x^3+3*x^4+x^3+8*x^2-f(x)+2*x+1) ogf] A141449 9.99928 [(-2-16*x-16*x^3+3*x^6-8*x^4-6*x^2)/(x-1)/(1+x^2+x)/(3*x^4+x^3+8*x^2+2*x+1) lgdogf] A141478 14.7402 [64/(x-1)^4 ogf] A141478 56.2132 [[4] ogf_with_Euler_transform] A141478 6.88793 [{(-n-2)*a(n+2)+(5+n)*a(n+1),a(0)=64,a(1)=256} ogf] A141478 6.97909 [(f(x)+64)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-64) ogf] A141478 90.3630 [-4/(x-1) lgdogf] A141480 14.4660 [125/(x-1)^4 ogf] A141480 56.2516 [[4] ogf_with_Euler_transform] A141480 6.67968 [-(f(x)+125)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-125) ogf] A141480 6.83115 [{(-n-2)*a(n+2)+(5+n)*a(n+1),a(0)=125,a(1)=500} ogf] A141480 90.4722 [-4/(x-1) lgdogf] A141495 15.4959 [(2*x^2-1)/(3*x-1) ogf] A141495 19.4468 [(3-4*x+6*x^2)/(-1+3*x)/(2*x^2-1) lgdogf] A141495 7.56345 [{-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=7} ogf] A141495 8.94829 [(f(x)-1)*(3*f(x)*x-2*x^2-f(x)+1) ogf] A141496 14.0569 [(14*x^2-1)/(5*x-1) ogf] A141496 17.0007 [(5-28*x+70*x^2)/(5*x-1)/(14*x^2-1) lgdogf] A141496 6.94575 [{-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=11} ogf] A141496 7.66739 [-(3*f(x)-28)*(5*f(x)*x-14*x^2-f(x)+1) ogf] A141499 13.3754 [-x*(7*x^2-4*x-1)/(4*x-1)/(2*x-1) ogf] A141499 16.0132 [-10*(1-3*x+x^2)/(-1+2*x)/(-1+4*x)/(7*x^2-4*x-1) lgdogf] A141499 6.62952 [{-a(n+4)+6*a(n+3)-8*a(n+2),a(0)=0,a(1)=1,a(2)=10,a(3)=45} ogf] A141499 7.62395 [(37*f(x)+132)*(8*f(x)*x^2+7*x^3-6*f(x)*x-4*x^2+f(x)-x) ogf] A141516 4.09581 [-(6*f(x)+1)*(6*f(x)*x^4+3*f(x)*x^3-27*x^4-f(x)*x^2-9*x^3+f(x)*x-f(x)+x+1) ogf] A141516 7.45647 [(27*x^4+9*x^3-x-1)/(x+1)/(2*x-1)/(3*x^2+1) ogf] A141518 15.2507 [-(9*x^4+7*x^3+5*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A141518 9.17620 [-(3+10*x+36*x^3+9*x^8+14*x^7+15*x^6+12*x^5+5*x^4+21*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(9*x^4+7*x^3+5*x^2+3*x+1) lgdogf] A141519 5.59909 [-(5*x^8-4*x^7+5*x^6-2*x^5+x^4-4*x^3+3*x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A141523 11.3884 [(3*x^2+2*x-3)/(x^3+x^2+x-1) ogf] A141523 13.0882 [-(-1+4*x^3+3*x^4-10*x^2)/(3*x^2+2*x-3)/(x^3+x^2+x-1) lgdogf] A141523 5.93755 [-(31*f(x)-89)*(f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2-f(x)-2*x+3) ogf] A141523 6.20262 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=1,a(2)=1} ogf] A141527 14.9848 [(x+2)/(41*x^2+x+1) ogf] A141527 19.7483 [-(1+164*x+41*x^2)/(x+2)/(41*x^2+x+1) lgdogf] A141527 7.0337 [-(13040*f(x)-26079)*(41*f(x)*x^2+f(x)*x+f(x)-x-2) ogf] A141527 8.30484 [{-a(n+2)-a(n+1)-41*a(n),a(0)=2,a(1)=-1} ogf] A141528 20.0118 [-x/(41*x^2+x+1) ogf] A141528 31.9250 [-(1+82*x)/(41*x^2+x+1) lgdogf] A141528 7.91165 [-(f(x)+1)*(41*f(x)*x^2+f(x)*x+f(x)+x) ogf] A141528 8.29757 [{-a(n+2)-a(n+1)-41*a(n),a(0)=0,a(1)=-1} ogf] A141529 7.72243 [-(2*x^10+3*x^9+5*x^8+7*x^7+11*x^6+13*x^5+17*x^4+19*x^3+23*x^2+29*x+31)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A141530 10.5937 [(9*x^3+19*x^2-5*x+1)/(x-1)^4 ogf] A141530 16.3048 [-(-1+23*x+9*x^3+65*x^2)/(x-1)/(9*x^3+19*x^2-5*x+1) lgdogf] A141530 4.44252 [{(44*n^2+193*n+210)*a(n+1)+(-28*n^2+46*n+225)*a(n+2)+(-16*n^2-59*n-33)*a(n+3),a(0)=1,a(1)=-1,a(2)=9} ogf] A141530 5.81908 [(116*f(x)+727)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-19*x^2+f(x)+5*x-1) ogf] A141531 13.7062 [2*f(x)*x-3*x^2+f(x)-3*x-1 ogf] A141531 16.1429 [(3*x^2+3*x+1)/(2*x+1) ogf] A141531 21.9642 [(1+6*x+6*x^2)/(2*x+1)/(3*x^2+3*x+1) lgdogf] A141531 8.64798 [{-a(n+3)-2*a(n+2),a(0)=1,a(1)=1,a(2)=1} ogf] A141532 5.59967 [(1+14*x+296*x^3+153*x^8+612*x^7+1074*x^6+1080*x^5+691*x^4+84*x^2)/(2*x+1)/(x^2+x+1)/(3*x^2+3*x+1)/(27*x^5+42*x^4+39*x^3+22*x^2+7*x+1) lgdogf] A141532 6.53977 [(27*x^5+42*x^4+39*x^3+22*x^2+7*x+1)/(2*x+1)/(x^2+x+1)/(3*x^2+3*x+1) ogf] A141533 10.0366 [-(-1-2*x-30*x^3+126*x^6-15*x^4+74*x^2)/(-1+2*x)/(x+1)/(3*x^2+1)/(21*x^3-2*x+1) lgdogf] A141533 11.2340 [-(21*x^3-2*x+1)/(x+1)/(2*x-1)/(3*x^2+1) ogf] A141533 5.6574 [(25536*f(x)+146483)*(6*f(x)*x^4+3*f(x)*x^3-f(x)*x^2+21*x^3+f(x)*x-f(x)-2*x+1) ogf] A141534 14.7555 [-(-4+2*x-2*x^3+5*x^4-6*x^2)/(x-1)/(x^5-x^3-x^2+x-1) lgdogf] A141534 8.07671 [(x^5-x^3-x^2+x-1)/(x-1)^5 ogf] A141571 14.5657 [-f(x)*x^3+x^4+f(x)-2*x-1 ogf] A141571 15.7547 [(x^4-2*x-1)/(x-1)/(x^2+x+1) ogf] A141571 22.0790 [(2+3*x^2+x^6)/(x-1)/(x^2+x+1)/(x^4-2*x-1) lgdogf] A141571 7.21477 [{-a(n+5)+a(n+2),a(0)=1,a(1)=2,a(2)=0,a(3)=1,a(4)=1} ogf] A141576 11.6136 [(x^2-x+1)/(x^3-2*x^2+x-1) ogf] A141576 16.8751 [-x*(-2-2*x^2+x^3+4*x)/(x^2-x+1)/(x^3-2*x^2+x-1) lgdogf] A141576 6.16024 [-(5*f(x)+4)*(f(x)*x^3-2*f(x)*x^2+f(x)*x-x^2-f(x)+x-1) ogf] A141576 6.38223 [{a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=0,a(2)=1} ogf] A141577 11.1645 [(x^3-2*x^2+x-1)/(x^4-3*x^3+3*x^2-x+1) ogf] A141577 13.2420 [-x*(x-1)*(x^4-3*x^3+3*x^2-5*x+2)/(x^3-2*x^2+x-1)/(x^4-3*x^3+3*x^2-x+1) lgdogf] A141577 6.01164 [-(19*f(x)+27)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-x^3-f(x)*x+2*x^2+f(x)-x+1) ogf] A141582 7.40676 [-x^2*(3*x^3-x^2+2*x+2)/(x+1)^2/(x-1)^5 ogf] A141583 5.79218 [-(1-3*x-32*x^3+x^8+4*x^7+24*x^6-2*x^5+18*x^4+20*x^2+x^9)/(x+1)/(x^3+x^2+3*x-1)/(x^3-x^2+3*x-1)/(x^3-x^2-x-1) lgdogf] A141583 6.32265 [-(x^3-x^2+3*x-1)*(x+1)^2/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A141631 13.3809 [-(3*x^2+x+2)/(x-1)^3 ogf] A141631 25.0260 [-(7+8*x+3*x^2)/(x-1)/(3*x^2+x+2) lgdogf] A141631 6.85909 [(10044*f(x)-15743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+x+2) ogf] A141631 7.22329 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=7,a(2)=18} ogf] A141682 37.3339 [(1+x^2)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A141683 10.0906 [(x^3+x^2-1)/(x^3+2*x^2+x-1) ogf] A141683 13.1052 [(1+2*x^3+2*x+x^4+x^2)/(x^3+x^2-1)/(x^3+2*x^2+x-1) lgdogf] A141683 4.96888 [{a(n+4)-a(n+3)-2*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A141683 7.0526 [-f(x)*x^3-2*f(x)*x^2+x^3-f(x)*x+x^2+f(x)-1 ogf] A141685 12.0491 [(x-1)*(x^2+x+1)/(x^3+2*x^2+x-1) ogf] A141685 13.1973 [(1+2*x^3+4*x+2*x^4)/(x-1)/(x^2+x+1)/(x^3+2*x^2+x-1) lgdogf] A141685 5.20302 [{-a(n+4)+a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A141685 8.07997 [f(x)*x^3+2*f(x)*x^2-x^3+f(x)*x-f(x)+1 ogf] A141694 17.4841 [2*(5*x+6)/(x-1)^2 ogf] A141694 26.0008 [-(-6-x+(36+22*x)^(1/2))/(-10+x) revogf] A141694 35.0446 [-(17+5*x)/(5*x+6)/(x-1) lgdogf] A141694 9.13057 [(11*f(x)+157)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-12) ogf] A141694 9.78276 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=34} ogf] A141721 7.59057 [-(3*x^9+3*x^7+2*x^6+7*x^5+8*x^4+5*x^3+8*x^2+7*x+2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A141722 14.3243 [-1/8*(-1-5*x+(1+90*x+9*x^2)^(1/2))/(-5+x) revogf] A141722 14.6824 [-(-25+8*x+80*x^2)/(x-1)/(4*x-1)/(20*x+1) lgdogf] A141722 15.6139 [(20*x+1)/(4*x-1)/(x-1) ogf] A141722 7.98045 [(117*f(x)+508)*(4*f(x)*x^2-5*f(x)*x+f(x)-20*x-1) ogf] A141722 8.65348 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=25} ogf] A141725 14.2839 [(8*x+1)/(4*x-1)/(x-1) ogf] A141725 15.3715 [-1/8*(-1-5*x+(1+42*x+9*x^2)^(1/2))/(-2+x) revogf] A141725 16.1598 [-(-13+8*x+32*x^2)/(x-1)/(8*x+1)/(4*x-1) lgdogf] A141725 7.30428 [(57*f(x)+112)*(4*f(x)*x^2-5*f(x)*x+f(x)-8*x-1) ogf] A141725 7.74428 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=13} ogf] A141726 10.5629 [-(x^7+2*x^6+3*x^5+4*x^4+5*x^3+6*x^2+7*x+8)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A141752 10.9963 [-2*(1-4*x-9*x^3+3*x^4+8*x^2)/(x-1)/(x^2-3*x+1)/(3*x^2-3*x+1) lgdogf] A141752 3.41677 [{(n+2)*a(n+1)+(-4*n-7)*a(n+2)+(4*n+5)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A141752 5.13821 [(43*f(x)+15)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A141752 9.75513 [(3*x^2-3*x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A141759 12.2377 [(x^2-18*x-15)/(x-1)^3 ogf] A141759 21.6063 [-(-63-34*x+x^2)/(x-1)/(x^2-18*x-15) lgdogf] A141759 6.47879 [(948*f(x)-21755)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+18*x+15) ogf] A141759 6.64634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=63,a(2)=143} ogf] A141771 5.83762 [4*f(x)^2*x^2-4*f(x)*x^3+x^4-f(x)^2*x+5*f(x)*x^2-5*f(x)*x-4*x^2+f(x)+5*x-1 ogf] A141775 14.7204 [(x-1)*(x+1)/(2*x-1)/(x^2-x+1) ogf] A141775 16.1734 [-(-3+8*x+2*x^4-9*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A141775 7.49163 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A141775 7.69782 [(39*f(x)-83)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+1) ogf] A141782 5.63734 [-(16*x^7-23*x^6-9*x^5+18*x^4-17*x^3+24*x^2+8*x-18)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A141783 7.25825 [-(7+49*x+315*x^3+13*x^7+7*x^6+231*x^5+105*x^4+105*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+14*x^2+1) lgdogf] A141827 3.10001 [{(n^2+4*n+4)*a(n+1)+(-n^2-7*n-14)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=31} ogf] A141828 3.16378 [{(n^3+6*n^2+12*n+8)*a(n+1)+(-n^3-10*n^2-34*n-41)*a(n+2)+a(n+3),a(0)=1,a(1)=5,a(2)=79} ogf] A141834 7.01947 [(42+49*x^3+2*x^6-3*x^5-15*x^4-51*x^2)/(x-1)/(2*x^5-3*x^4-8*x^3+21*x^2-12*x-6) lgdegf] A141845 6.02906 [-(-7+x+13*x^3+10*x^8+19*x^7+27*x^6+35*x^5+53*x^4+9*x^2)/(x-1)/(5*x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A141845 6.68063 [-(x^4+x^3+x^2+x+1)/(5*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A142069 10.5629 [-(8*x^8+4*x^7+5*x^5+x^4+6*x^3+2*x^2+7*x+3)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A142150 11.9396 [-f(x)*x^4+2*f(x)*x^2+x^2-f(x) ogf] A142150 20.3295 [x^2/(x-1)^2/(x+1)^2 ogf] A142150 44.1337 [[2*x] ogf_with_Euler_transform] A142150 58.4853 [-4*x/(x-1)/(x+1) lgdogf] A142150 6.59818 [{(n+1)*a(n+3)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A142155 10.6619 [1/(x^10+x^9-x^7-x^6-x^5-x^4-x^2+x+1) ogf] A142155 9.96159 [-(x+1)*(10*x^8-x^7+x^6-8*x^5+2*x^4-7*x^3+3*x^2-3*x+1)/(-x^2+1+x+x^10-x^5-x^4-x^7-x^6+x^9) lgdogf] A142238 10.4607 [-(5+22*x+x^6-2*x^5-5*x^4-4*x^3+47*x^2)/(x^3-x^2-5*x-1)/(x^4-10*x^2+1) lgdogf] A142238 11.1359 [-(x^3-x^2-5*x-1)/(x^4-10*x^2+1) ogf] A142238 6.86889 [(2643*f(x)+485)*(f(x)*x^4-10*f(x)*x^2+x^3-x^2+f(x)-5*x-1) ogf] A142239 12.4402 [-2*(2+9*x+x^5-6*x^4-2*x^3+20*x^2)/(x^2-4*x-1)/(x^4-10*x^2+1) lgdogf] A142239 13.0990 [-(x^2-4*x-1)/(x^4-10*x^2+1) ogf] A142239 7.67417 [(1762*f(x)+259)*(f(x)*x^4-10*f(x)*x^2+x^2+f(x)-4*x-1) ogf] A142241 17.2295 [2*(5*x+7)/(x-1)^2 ogf] A142241 25.6174 [-(-7-x+(49+24*x)^(1/2))/(-10+x) revogf] A142241 34.5278 [-(19+5*x)/(5*x+7)/(x-1) lgdogf] A142241 8.99765 [(12*f(x)+193)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-14) ogf] A142241 9.64033 [{-a(n+2)+2*a(n+1)-a(n),a(0)=14,a(1)=38} ogf] A142245 16.4420 [2*x*(5*x+6)/(x-1)/(x^2+x-1) ogf] A142245 18.8135 [-(-17+10*x^3+18*x^2)/(5*x+6)/(x-1)/(x^2+x-1) lgdogf] A142245 8.73483 [(9318*f(x)+595)*(f(x)*x^3-2*f(x)*x-10*x^2+f(x)-12*x) ogf] A142245 8.82678 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=12,a(2)=34} ogf] A142463 14.6316 [(x^2-6*x+1)/(x-1)^3 ogf] A142463 27.5228 [-(-3-10*x+x^2)/(x-1)/(x^2-6*x+1) lgdogf] A142463 7.89845 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=3,a(2)=11} ogf] A142463 7.96897 [(3*f(x)-10)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+6*x-1) ogf] A142464 10.9955 [{-a(n+3)+a(n+2),a(0)=3,a(1)=6,a(2)=1} ogf] A142464 11.6914 [-(f(x)-3)*(f(x)*x-5*x^2-f(x)+3*x+3) ogf] A142464 20.5249 [(5*x^2-3*x-3)/(x-1) ogf] A142464 26.6247 [(6-10*x+5*x^2)/(x-1)/(5*x^2-3*x-3) lgdogf] A142474 13.2306 [(x^2+x-1)/(x^3+2*x^2+x-1) ogf] A142474 7.27085 [{a(n+3)-a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A142474 9.06814 [f(x)*x^3+2*f(x)*x^2+f(x)*x-x^2-f(x)-x+1 ogf] A142585 10.7324 [-(x^3+2*x^2+3*x+1)/(2*x+1)/(x^2-x-1) ogf] A142585 13.1063 [-x*(2+5*x^3+18*x^2+12*x)/(2*x+1)/(x^2-x-1)/(x^3+2*x^2+3*x+1) lgdogf] A142585 5.69643 [{-a(n+4)-3*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=0} ogf] A142585 6.02062 [-(f(x)-1)*(2*f(x)*x^3-f(x)*x^2+x^3-3*f(x)*x+2*x^2-f(x)+3*x+1) ogf] A142586 11.3540 [-(2-10*x+11*x^4-22*x^3+20*x^2)/(2*x-1)/(x^2-3*x+1)/(x^3+2*x^2-3*x+1) lgdogf] A142586 11.3866 [-(x^3+2*x^2-3*x+1)/(2*x-1)/(x^2-3*x+1) ogf] A142586 5.90735 [{-a(n+4)+5*a(n+3)-7*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A142586 6.28541 [-(19+20*f(x))*(2*f(x)*x^3-7*f(x)*x^2+x^3+5*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A142588 12.0828 [-f(x)*x^2-14*f(x)*x+f(x)-5*x ogf] A142588 15.9107 [1/2*(-5-14*x+(5+28*x+40*x^2)^(1/2)*5^(1/2))/x revogf] A142588 19.0781 [-5*x/(x^2+14*x-1) ogf] A142588 34.0943 [-2*(7+x)/(x^2-1+14*x) lgdogf] A142588 8.84106 [{-a(n+2)+14*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A142590 5.81997 [3*x*(x^10-x^9-15*x^8-2*x^7-58*x^6-18*x^5-74*x^4-4*x^3-39*x^2-5*x-7)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A142600 5.71600 [3*(x^11-7*x^9-5*x^8-42*x^7-4*x^6-74*x^5-18*x^4-55*x^3-2*x^2-15*x-1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A142702 12.4208 [-(8*x^2-3*x+5)/(x-1)/(x^2+1) ogf] A142702 13.2133 [-2*(1+3*x+4*x^4-3*x^3+5*x^2)/(x-1)/(x^2+1)/(8*x^2-3*x+5) lgdogf] A142702 6.58843 [(118*f(x)-533)*(f(x)*x^3-f(x)*x^2+f(x)*x+8*x^2-f(x)-3*x+5) ogf] A142702 6.76491 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=5,a(1)=2,a(2)=5} ogf] A142704 3.93558 [{(-2*n-8)*a(n+1)+(-2*n-8)*a(n+2)+a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=6} ogf] A142705 10.6218 [x*(x^4-6*x^2-2*x-3)/(x-1)^3/(x+1)^3 ogf] A142705 13.4328 [-2*(-1-15*x+x^5-10*x^3-5*x^2)/(x-1)/(x+1)/(-3+x^4-6*x^2-2*x) lgdogf] A142705 7.11200 [{(n+5)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=3,a(2)=2} ogf] A142708 18.3072 [-(f(x)-1)^3 ogf] A142710 6.80240 [-2*(2*x^6-7*x^4-6*x^3+6*x^2+x-1)/(2*x-1)/(2*x+1)/(x^2-3*x+1)/(x^2-x-1) ogf] A142716 6.98731 [(x-1)*(9*x^11+3*x^10+6*x^9+3*x^5+3*x^4+3*x^3+3*x^2+2*x+1)/(3*x^9-3*x^6+3*x^3-1) ogf] A142717 12.0195 [(3*x^3-5*x^2+x-3)/(x+1)/(x-1)^3 ogf] A142717 14.0293 [-(-5-20*x+3*x^4-4*x^3+2*x^2)/(x-1)/(x+1)/(3*x^3-5*x^2+x-3) lgdogf] A142717 6.6883 [(760*f(x)-8339)*(f(x)*x^4-2*f(x)*x^3-3*x^3+2*f(x)*x+5*x^2-f(x)-x+3) ogf] A142879 7.40421 [-(2+10*x-6*x^8-20*x^7-5*x^6-6*x^5+25*x^4+16*x^3+2*x^9+21*x^2)/(x^6-5*x^3+1)/(x^4-2*x^3-5*x^2-2*x-1) lgdogf] A142879 9.66039 [-x*(x^4-2*x^3-5*x^2-2*x-1)/(x^6-5*x^3+1) ogf] A142880 7.70326 [-(2+6*x-3*x^8-12*x^7-3*x^6-6*x^5+21*x^4+24*x^3+2*x^9+24*x^2)/(x+1)/(x^3-2*x^2-x-1)/(x^6-7*x^3+1) lgdogf] A142880 9.74258 [-x*(x+1)*(x^3-2*x^2-x-1)/(x^6-7*x^3+1) ogf] A142881 7.50977 [-(2+6*x+6*x^8-12*x^7-3*x^6-6*x^5+21*x^4+24*x^3+2*x^9+15*x^2)/(x^4+2*x^3-3*x^2-2*x-1)/(x^6-7*x^3+1) lgdogf] A142881 9.69642 [-x*(x^4+2*x^3-3*x^2-2*x-1)/(x^6-7*x^3+1) ogf] A142883 6.02494 [x*(x^10-x^9-15*x^8-2*x^7-58*x^6-18*x^5-74*x^4-4*x^3-39*x^2-5*x-7)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A142887 6.72025 [(5510*x^5-395*x^3-146*x^2-3*x-1)/(13340*x^4-52*x^2-1) ogf] A142888 13.3472 [-(1-25*x+x^5-x^4-14*x^3-2*x^2)/(x-1)/(x+1)/(x^4-6*x^2-2*x-3) lgdogf] A142888 8.56092 [-(x^4-6*x^2-2*x-3)/(x-1)^2/(x+1)^3 ogf] A142954 11.3650 [-2*(3*x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A142954 15.0498 [-(-5-x+3*x^3-5*x^2)/(x-1)/(x+1)/(3*x^2-4*x-1) lgdogf] A142954 6.0813 [(19*f(x)+235)*(f(x)*x^3-f(x)*x^2-f(x)*x+6*x^2+f(x)-8*x-2) ogf] A142954 6.13512 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=10,a(2)=6} ogf] A142962 11.3047 [(x^2+10*x+4)/(x-1)^4 ogf] A142962 22.1907 [-2*(13+16*x+x^2)/(x-1)/(x^2+10*x+4) lgdogf] A142962 3.91747 [{(4*n+16)*a(n+4)+(-8+6*n)*a(n+3)+(-50-9*n)*a(n+2)+(-3-n)*a(n+1),a(0)=4,a(1)=26,a(2)=81,a(3)=184} ogf] A142962 5.53377 [(4509750*f(x)+40001231)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-10*x-4) ogf] A142964 14.6477 [-(x+1)/(2*x-1)/(x-1)^2 ogf] A142964 21.7847 [-(-5+5*x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A142964 6.87014 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A142964 7.53713 [(f(x)-1)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+x+1) ogf] A142965 7.85202 [-(6*x^3+11*x^2-8*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A142965 9.41670 [-6*(-3+5*x+18*x^5+37*x^4-81*x^3+32*x^2)/(x-1)/(3*x-1)/(2*x-1)/(6*x^3+11*x^2-8*x-1) lgdogf] A142966 3.83887 [-(180*x^6+444*x^5-839*x^4+242*x^3+108*x^2-38*x-1)/(4*x-1)/(3*x-1)^2/(2*x-1)^3/(x-1)^4 ogf] A142967 24.1656 [-1/3*ln(x^2+x+1)+2/3*ln(1+2*x) revegf] A142970 5.63763 [{(4*n^2+20*n+25)*a(n+1)-a(n+3)+6*a(n+2),a(0)=0,a(1)=1,a(2)=6} ogf] A142974 10.9003 [-2*(-1+6*x+3*x^4+8*x^3-13*x^2)/(x-1)/(2*x-1)/(3*x^3+x^2-3*x+1) lgdogf] A142974 5.18557 [-f(x)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-3*x^3-5*f(x)*x-x^2+f(x)+3*x-1) ogf] A142974 8.95691 [(3*x^3+x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A142975 7.38633 [(x^4-2*x^3+x^2+2*x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A142975 7.40066 [-(-1+10*x^6-23*x^4+8*x^2+4*x^5-4*x^7+x^8)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^4-2*x^3+x^2+2*x-1) lgdogf] A142976 6.13145 [-(40*x^3+36*x^2-21*x-1)/(7*x-1)/(4*x-1)^2/(x-1)^3 ogf] A142979 4.26596 [{(n^2+6*n+9)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=13} ogf] A142980 4.07383 [{(n^2+6*n+9)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=29} ogf] A142981 4.23314 [{(-n^2-6*n-9)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=53} ogf] A142982 3.92634 [{(n^2+6*n+9)*a(n+1)-a(n+3)+9*a(n+2),a(0)=1,a(1)=9,a(2)=85} ogf] A142983 5.35170 [{(n^2+7*n+12)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=10} ogf] A142984 4.43966 [{(n^2+7*n+12)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=22} ogf] A142985 4.17748 [{(n^2+7*n+12)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=42} ogf] A142986 4.35813 [{(n^2+7*n+12)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=70} ogf] A142987 3.95784 [{(n^2+7*n+12)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=106} ogf] A142988 4.34765 [{(-n^2-8*n-15)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=17} ogf] A142989 4.13233 [{(n^2+8*n+15)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=33} ogf] A142990 4.31298 [{(n^2+8*n+15)*a(n+1)-a(n+3)+7*a(n+2),a(0)=1,a(1)=7,a(2)=57} ogf] A142991 3.96207 [{(n^2+8*n+15)*a(n+1)-a(n+3)+9*a(n+2),a(0)=1,a(1)=9,a(2)=89} ogf] A142993 5.12393 [-(x^4+28*x^3+70*x^2+28*x+1)/(x-1)^5 ogf] A142993 7.76619 [-(33+252*x+x^4+60*x^3+294*x^2)/(x-1)/(x^4+28*x^3+70*x^2+28*x+1) lgdogf] A142994 3.97786 [{(-2*n^2-9*n-10)*a(n+1)+(4*n^2+20*n+75)*a(n+2)+(-2*n^2-11*n-15)*a(n+3),a(0)=1,a(1)=51,a(2)=501} ogf] A142994 5.35681 [-(51+645*x+95*x^4+810*x^3+1470*x^2+x^5)/(x-1)/(x+1)/(x^4+44*x^3+166*x^2+44*x+1) lgdogf] A142994 6.13534 [(x+1)*(x^4+44*x^3+166*x^2+44*x+1)/(x-1)^6 ogf] A142999 4.09752 [{(n^3+6*n^2+12*n+8)*a(n+1)+(2*n+5)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=1,a(2)=3/2} egf] A143008 23.9986 [-(13+16*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A143008 3.89143 [{(n+4)*a(n+4)+(-4+3*n)*a(n+3)+(-22-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=13,a(2)=73,a(3)=253} ogf] A143008 8.14768 [-(x^2+4*x+1)^2/(x-1)^5 ogf] A143009 12.8755 [-(25+81*x+x^3+33*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A143009 4.38721 [-(x+1)^2*(x^2+8*x+1)^2/(x-1)^7 ogf] A143010 10.1899 [-(41+256*x+x^4+56*x^3+276*x^2)/(x-1)/(x^4+16*x^3+36*x^2+16*x+1) lgdogf] A143010 3.63710 [-(x^4+16*x^3+36*x^2+16*x+1)^2/(x-1)^9 ogf] A143011 3.21915 [-(x+1)^2*(x^4+24*x^3+76*x^2+24*x+1)^2/(x-1)^11 ogf] A143011 3.55639 [{(n^3+6*n^2+12*n+8)*a(n+1)+(-2*n^3-15*n^2-159*n-335)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=61,a(2)=1441} ogf] A143011 9.41192 [-(61+625*x+85*x^4+700*x^3+1300*x^2+x^5)/(x-1)/(x+1)/(x^4+24*x^3+76*x^2+24*x+1) lgdogf] A143013 10.8429 [-f(x)^2*x^2-f(x)*x+f(x)-x-1 ogf] A143013 12.8802 [-1/2-1/2*x-1/2*x^2+1/2*(1+6*x+3*x^2+2*x^3+x^4)^(1/2) revogf] A143013 3.48521 [{(-4*n-6)*a(n+1)+(-3*n-9)*a(n+2)+(-2*n-9)*a(n+3)+(n+6)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=7} ogf] A143017 22.9488 [x*(2*x+1)/(x+1)/(x^2+3*x+1) revogf] A143017 6.66106 [x^3*f(x)^3+4*f(x)^2*x^2-2*f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A143020 6.33834 [-x^4*f(x)^3+7*f(x)^2*x^2+f(x)^2*x+9*f(x)*x-2*f(x)+2 ogf] A143020 7.97512 [-1/2*((1+4*x)^(1/2)*x^2+5*(1+4*x)^(1/2)*x+2*(1+4*x)^(1/2)-2-9*x-7*x^2)/x^3 revogf] A143021 4.60662 [-108*x^3*f(x)^3+f(x)^3*x+648*f(x)^2*x^2-6*f(x)^2-624*f(x)*x+60*f(x)+1024*x-96 ogf] A143023 7.97565 [-4*x^4*f(x)^3+5*f(x)^2*x^2+6*f(x)*x-f(x)+1 ogf] A143023 9.71196 [-1/8*((x^2+6*x+1)^(1/2)+3*(x^2+6*x+1)^(1/2)*x-1-6*x-5*x^2)/x^3 revogf] A143025 13.6756 [-(8*x^3+2*x^2+8*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A143025 6.17385 [-4*(2+x+2*x^6+6*x^4+x^3+6*x^2+x^5)/(x-1)/(x+1)/(x^2+1)/(8*x^3+2*x^2+8*x+1) lgdogf] A143025 8.66123 [-(f(x)+2593)*(f(x)*x^4+8*x^3+2*x^2-f(x)+8*x+1) ogf] A143036 14.6568 [(513*x+511)/(x-1)^2 ogf] A143036 15.3035 [-1/2*(-511-2*x+(261121+4096*x)^(1/2))/(-513+x) revogf] A143036 22.7084 [-(1535+513*x)/(513*x+511)/(x-1) lgdogf] A143036 7.32837 [(2048*f(x)+1309697)*(f(x)*x^2-2*f(x)*x+f(x)-513*x-511) ogf] A143036 8.25495 [{-a(n+2)+2*a(n+1)-a(n),a(0)=511,a(1)=1535} ogf] A143045 26.7207 [-1/2+x^2+1/2*(1-4*x^2+4*x)^(1/2) revogf] A143055 4.94261 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=2} ogf] A143055 5.2399 [(2*f(x)+3)*(2*f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-x) ogf] A143055 8.41881 [-(1+8*x^4-4*x^3-5*x^2+4*x^5)/(x^2+x-1)/(2*x^4+2*x^3-x^2-2*x+1) lgdogf] A143055 9.54668 [-x*(x^2+x-1)/(2*x^4+2*x^3-x^2-2*x+1) ogf] A143056 14.5240 [-x*(x^2+x-1)/(x^4+2*x^3-2*x+1) ogf] A143056 8.20923 [(f(x)+2)*(f(x)*x^4+2*f(x)*x^3+x^3-2*f(x)*x+x^2+f(x)-x) ogf] A143056 9.53886 [-(1-2*x+5*x^4-4*x^2+2*x^5)/(x^2+x-1)/(x^4+2*x^3-2*x+1) lgdogf] A143059 5.89200 [-(2*x^4-9*x^3+x^2+6*x+1)/(x-1)^5 ogf] A143059 9.10007 [-(11+26*x+2*x^4-10*x^3-24*x^2)/(x-1)/(2*x^4-9*x^3+x^2+6*x+1) lgdogf] A143060 5.35319 [(9*x^5-9*x^4-25*x^3+15*x^2+10*x+1)/(x-1)^6 ogf] A143060 7.00014 [(1920+9600*x+160*x^4+2420*x^3+9300*x^2+x^5)/(3900*x^2+120+1800*x+155*x^4+1800*x^3+x^5) lgdegf] A143066 8.00466 [-(-x^7+x^6+x^5-x^2-x+1)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A143066 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/8*Pi)*2^(1/8)*GAMMA(2/3)/GAMMA(3/4)/Pi^(1/2)*GAMMA(7/12)*(1+3^(1/2)) A143067 99.9999 Evaluated at exp(-Pi) 1/3*exp(5/24*Pi)*Pi^(1/2)*2^(1/8)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)*GAMMA(11/12)*(3^(1/2)-1) A143068 6.12746 [-(-2*x^10+3*x^9-2*x^8+x^7-2*x^6+x^5-2*x^4+x^3-2*x^2+3*x-2)/(-x^12+1) ogf_with_Euler_transform] A143075 8.27921 [1/(x+1)/(x^2-x+1)/(x^2+x-1)/(x-1)^3 ogf] A143075 9.37534 [-2*(-2+x+x^4-5*x^3+4*x^2+4*x^5)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A143079 11.6845 [-(9*x-1)/(12*x-1)/(6*x-1) ogf] A143079 12.5025 [-9*(1-16*x+72*x^2)/(6*x-1)/(12*x-1)/(9*x-1) lgdogf] A143079 5.90506 [-(28*f(x)+53)*(72*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A143079 6.53774 [{a(n+2)-18*a(n+1)+72*a(n),a(0)=1,a(1)=9} ogf] A143079 6.80517 [1/12*ln(8*x+1)+1/12*ln(2*(1+6*x)^(1/2)-1)-1/12*ln(1+2*(1+6*x)^(1/2))+1/12*ln(3) revegf] A143090 13.9332 [(16+30*x+15*x^4+16*x^3+27*x^2+6*x^5)/(x+2)/(x^5+x^4+2*x^3+5*x^2+5*x+6) lgdogf] A143095 10.8971 [-(3*f(x)+2)*(2*f(x)*x^2-f(x)+4*x+1) ogf] A143095 12.0890 [{a(n+2)-2*a(n),a(0)=1,a(1)=4} ogf] A143095 18.8707 [-(4*x+1)/(2*x^2-1) ogf] A143095 21.6785 [1/4*(-1+(1+16*x+8*x^2)^(1/2))/(x+2) revogf] A143095 23.7108 [-4*(1+x+2*x^2)/(4*x+1)/(2*x^2-1) lgdogf] A143096 12.9300 [(4-14*x+4*x^4-12*x^3+19*x^2)/(x-1)/(2*x-1)/(2*x^3-5*x^2+x+1) lgdogf] A143096 12.9493 [(2*x^3-5*x^2+x+1)/(2*x-1)/(x-1) ogf] A143096 6.92899 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=1,a(1)=4,a(2)=5,a(3)=9} ogf] A143096 7.74416 [(18*f(x)-7)*(2*f(x)*x^2-2*x^3-3*f(x)*x+5*x^2+f(x)-x-1) ogf] A143097 10.6482 [(x^4-2*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A143097 12.1681 [(-2-6*x-3*x^4-7*x^3-x^2+x^5)/(x-1)/(x^2+x+1)/(x^4-2*x^3+2*x^2+x+1) lgdogf] A143097 6.35593 [(21*f(x)+74)*(f(x)*x^4-f(x)*x^3-x^4+2*x^3-f(x)*x-2*x^2+f(x)-x-1) ogf] A143098 10.3061 [f(x)*x^3+x^3-x^2-f(x)+2*x+1 ogf] A143098 11.0293 [-(x^3-x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A143098 12.7536 [(-2+2*x+x^4-4*x^3-6*x^2)/(x-1)/(x^2+x+1)/(x^3-x^2+2*x+1) lgdogf] A143098 6.54865 [{-a(n+4)+a(n+1),a(0)=1,a(1)=2,a(2)=-1,a(3)=2} ogf] A143099 8.26723 [-(5*x^4-7*x^3+5*x^2-3*x+1)/(x-1)/(x^2-x+1)/(2*x-1)^2 ogf] A143100 10.2585 [(3*x^3-2*x^2-x+1)/(2*x-1)/(x-1)/(x^2-x+1) ogf] A143100 5.56271 [-(99*f(x)-7)*(2*f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A143101 8.87978 [-(x^4-2*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A143126 12.3808 [-(6*x-1)/(2*x-1)^2 ogf] A143126 17.3765 [-1/4*(-1-4*x+(1-16*x)^(1/2))/(3+2*x) revogf] A143126 24.0598 [-2*(1+6*x)/(6*x-1)/(2*x-1) lgdogf] A143126 6.79433 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=-2} ogf] A143126 7.75613 [-(8*f(x)-7)*(4*f(x)*x^2-4*f(x)*x+f(x)+6*x-1) ogf] A143131 14.8198 [-(5+13*x+13*x^3+49*x^2)/(x-1)/(13*x^3+5*x^2+x+1) lgdogf] A143131 3.86061 [{(-59*n^2-334*n-432)*a(n+1)+(78*n^2+246*n-135)*a(n+2)+(-19*n^2-32*n+75)*a(n+3),a(0)=1,a(1)=5,a(2)=19} ogf] A143131 5.00548 [(6160*f(x)+24617)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-13*x^3-4*f(x)*x-5*x^2+f(x)-x-1) ogf] A143131 9.30506 [(13*x^3+5*x^2+x+1)/(x-1)^4 ogf] A143132 11.5158 [-2*(3+8*x+23*x^4+108*x^3+33*x^2)/(x-1)/(46*x^4+16*x^3+6*x^2+x+1) lgdogf] A143132 7.74345 [-(46*x^4+16*x^3+6*x^2+x+1)/(x-1)^5 ogf] A143134 27.2883 [-1/2+1/2*cos(2*x)+x revegf] A143136 16.3124 [-1/4*exp(-2*x)-1/4*exp(2*x)+1/2+x revegf] A143138 22.5588 [-1+x-exp(2*x)+2*exp(x) revegf] A143139 56.3622 [-x^2+ln(x+1) revegf] A143155 38.8163 [1-x^2-exp(-x) revegf] A143159 6.72320 [-(-4*x^5-4*x^4-5*x^3-2*x^2-x)/(x^6+x^5+x^4-x^2-x-1) ogf_with_Euler_transform] A143160 6.60410 [-(4*x^5+5*x^4+7*x^3+5*x^2+3*x+1)/(-x^6-x^5-x^4+x^2+x+1) ogf_with_Euler_transform] A143161 12.4424 [-(2*x^2+x+2)/(-x^4+1) ogf_with_Euler_transform] A143161 99.9999 Evaluated at exp(-Pi) exp(-1/6*Pi)*2^(5/8) A143165 3.29248 [{(-8*n^3-56*n^2-130*n-100)*a(n+1)+(4*n^2+16*n+13)*a(n+2)+(2*n+10)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=49} ogf] A143166 10.8672 [x*(x+3)*(3*x+1)/(x-1)^4 ogf] A143166 20.8713 [-2*(11+18*x+3*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A143166 4.06149 [{(9+3*n)*a(n+4)+(-8+7*n)*a(n+3)+(-43-7*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=3,a(2)=22,a(3)=73} ogf] A143166 5.78544 [(928*f(x)+3877)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-10*x^2+f(x)-3*x) ogf] A143167 4.12622 [{(-16*n^2-84*n-110)*a(n+1)+(8*n+25)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=111} ogf] A143208 12.2448 [(3*x^3-11*x^2+7*x-2)/(x-1)^3 ogf] A143208 20.6181 [(-1+8*x+2*x^2)/(x-1)/(3*x^3-11*x^2+7*x-2) lgdogf] A143208 6.49348 [{-a(n+4)+3*a(n+3)-3*a(n+2)+a(n+1),a(0)=2,a(1)=-1,a(2)=2,a(3)=8} ogf] A143208 6.8571 [-(4*f(x)-31)*(f(x)*x^3-3*f(x)*x^2-3*x^3+3*f(x)*x+11*x^2-f(x)-7*x+2) ogf] A143212 8.13259 [-(2+4*x+3*x^6+3*x^4+6*x^3-19*x^2-6*x^5)/(x+1)/(x^2-3*x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A143212 8.30381 [-(x^2-x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A143217 4.34453 [{(n^3+8*n^2+21*n+18)*a(n+1)+(-n^2-7*n-12)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A143240 20.8370 [-x/(-x^2-x-1) ogf_with_Euler_transform] A143241 12.0754 [-(x^5+x^4+x^2+x+1)/(-x^6+1) ogf_with_Euler_transform] A143242 8.19936 [-(-x^5+x^4-x^3-x^2+x-1)/(x^6+x^3+1) ogf_with_Euler_transform] A143248 5.00822 [{(-n^2-5*n-6)*a(n)+a(n+1),a(0)=0,a(1)=12} ogf] A143251 8.29728 [-(2*x^5+x^4-x^3-x^2+x+1)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] A143259 10.9538 [-(-x^3-x^2+1)/(x^4+1) ogf_with_Euler_transform] A143277 19.3000 [-(-2*x^2+1)/(x^3-1) ogf_with_Euler_transform] A143281 10.0647 [-f(x)*x^5-f(x)*x^4+x^3+2*f(x)*x-f(x) ogf] A143281 18.1165 [x^3/(x^2+x-1)/(x^3+x-1) ogf] A143281 21.9339 [-(-2+5*x^4+4*x^3)/(x^2+x-1)/(x^3+x-1) lgdogf] A143282 12.3772 [x^4/(x^3+x-1)/(x^4+x-1) ogf] A143282 16.0640 [-(-2+2*x+7*x^6+5*x^4-3*x^2)/(x^3+x-1)/(x^4+x-1) lgdogf] A143283 13.1178 [x^5/(x^2-x+1)/(x^3+x^2-1)/(x^4+x-1) ogf] A143283 13.6274 [-(-2+2*x-4*x^3+6*x^5+9*x^8)/(x^2-x+1)/(x^3+x^2-1)/(x^4+x-1) lgdogf] A143284 12.6126 [x^6/(x^2-x+1)/(x^3+x^2-1)/(x^6+x-1) ogf] A143284 12.9463 [-(-2+2*x+7*x^6-5*x^4+11*x^10)/(x^2-x+1)/(x^3+x^2-1)/(x^6+x-1) lgdogf] A143285 13.0004 [x^7/(x^6+x-1)/(x^7+x-1) ogf] A143285 16.6902 [-(-2+2*x+13*x^12-6*x^5+8*x^7)/(x^6+x-1)/(x^7+x-1) lgdogf] A143286 12.9995 [x^8/(x^7+x-1)/(x^8+x-1) ogf] A143286 16.7724 [-(-2+2*x-7*x^6+15*x^14+9*x^8)/(x^7+x-1)/(x^8+x-1) lgdogf] A143287 12.7853 [x^9/(x^8+x-1)/(x^9+x-1) ogf] A143287 16.5102 [-(-2+2*x+10*x^9+17*x^16-8*x^7)/(x^8+x-1)/(x^9+x-1) lgdogf] A143288 12.6977 [x^10/(x^9+x-1)/(x^10+x-1) ogf] A143288 16.0944 [-(-2+2*x+11*x^10+19*x^18-9*x^8)/(x^9+x-1)/(x^10+x-1) lgdogf] A143289 10.5714 [-(-2+2*x-10*x^9+12*x^11+21*x^20)/(x^2-x+1)/(x^9+x^8-x^6-x^5+x^3+x^2-1)/(x^10+x-1) lgdogf] A143289 12.7345 [x^11/(x^2-x+1)/(x^9+x^8-x^6-x^5+x^3+x^2-1)/(x^10+x-1) ogf] A143290 12.5350 [x^12/(x^2-x+1)/(x^12+x-1)/(x^9+x^8-x^6-x^5+x^3+x^2-1) ogf] A143323 4.51466 [-(-2*x^19+x^18-3*x^17+x^16-x^15-3*x^13+x^12-x^11+x^10-2*x^9+x^8-x^7+x^6-3*x^5-x^3+x^2-3*x+1)/(x^20-1) ogf_with_Euler_transform] A143330 11.5414 [-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A143335 4.09341 [(2*x^9-x^8-x^7-x^6-2*x^5-x^4-2*x^3+1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A143339 11.6034 [1/2*(-2+x+(-x^2*(-1+4*x^2-4*x))^(1/2))*x/(-1+x)/(1+x+x^2) revogf] A143339 7.41127 [-x^3*f(x)^3-f(x)^3*x+f(x)^2*x+f(x)^2-2*f(x)+1 ogf] A143351 12.0755 [-1/(x^10+x^9+x^8+x^7+x^4+x^2-1) ogf] A143351 5.12536 [-x*(2+7*x^5+4*x^2+10*x^8+8*x^6+9*x^7)/(-1+x^2+x^4+x^7+x^8+x^9+x^10) lgdogf] A143363 15.8279 [1/2/(-2+x)*(-1+2*x+(1+4*x)^(1/2))*(-1+x) revogf] A143363 5.52519 [-f(x)^3*x^2+2*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2-3*f(x)*x-f(x)+2*x+1 ogf] A143366 5.86804 [3*(9*x^4+280*x^3+734*x^2+280*x+9)/(x-1)^6 ogf] A143366 8.55544 [-2*(167+1434*x+9*x^4+438*x^3+1888*x^2)/(x-1)/(9*x^4+280*x^3+734*x^2+280*x+9) lgdogf] A143367 5.77047 [-4*(58624*x^4-116832*x^3+81760*x^2-22926*x+2353)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A143369 5.77015 [-4*(58624*x^4-138336*x^3+129424*x^2-42762*x+9151)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A143371 11.2483 [-(x^2-4*x-1)/(x-1)^4 ogf] A143371 23.0691 [-2*(-4-5*x+x^2)/(x-1)/(x^2-4*x-1) lgdogf] A143371 3.90018 [{(-n-4)*a(n+4)+(-1-3*n)*a(n+3)+(20+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=8,a(2)=25,a(3)=56} ogf] A143371 5.70689 [(2760*f(x)+11567)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-4*x-1) ogf] A143372 4.02998 [-1/(5*x^13+3*x^12+7*x^11+3*x^10-2*x^9-3*x^8-2*x^7-2*x^6+3*x^5+x^4+x^3+2*x^2-x-1) ogf] A143373 11.3532 [-1/(x^7+2*x^5+2*x^3+x-1) ogf] A143373 11.7950 [-(1+6*x^2+10*x^4+7*x^6)/(-1+x+2*x^3+2*x^5+x^7) lgdogf] A143374 11.1079 [-2*(-1-7*x+28*x^6-20*x^4+28*x^3+12*x^2-18*x^5)/(-7*x^2+1-2*x+14*x^4+8*x^3-6*x^6-8*x^5+8*x^7) lgdogf] A143375 12.4672 [-1/(x^12+x^10+x^8+2*x^5+x^2-1) ogf] A143375 12.5440 [-2*x*(1+5*x^3+4*x^6+5*x^8+6*x^10)/(-1+x^2+2*x^5+x^8+x^10+x^12) lgdogf] A143377 11.9776 [-(2*x^3+2*x^2+x+2)/(-x^4+1) ogf_with_Euler_transform] A143377 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/6*Pi)*Pi^(1/2)*2^(7/8)/GAMMA(3/4)^2 A143378 14.1776 [-(2*x^3-x^2+4*x-1)/(-x^4+1) ogf_with_Euler_transform] A143378 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*Pi^(1/2)*2^(5/8)/GAMMA(3/4)^2 A143379 12.9434 [-(-2*x^2+x-1)/(x^3-x^2+x-1) ogf_with_Euler_transform] A143379 99.9999 Evaluated at exp(-Pi) 1/4*exp(7/24*Pi)*Pi^(1/2)*2^(3/8)/GAMMA(3/4)^2 A143380 8.84093 [-(-2*x^3+2*x^2-3*x+2)/(x^4-1) ogf_with_Euler_transform] A143380 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/6*Pi)*Pi^(1/2)*2^(1/8)/GAMMA(3/4)^2 A143388 3.75021 [27*x^4*f(x)^3-4*x^3*f(x)^3-108*f(x)^2*x^3+16*f(x)^2*x^2+76*f(x)*x^2-18*f(x)*x-64*x^2+f(x)+16*x-1 ogf] A143389 6.62884 [-1/(5*x^13+10*x^12+12*x^11+10*x^10+7*x^9+3*x^8-5*x^6-8*x^5-9*x^4-8*x^3-6*x^2-3*x-1) ogf] A143399 5.34735 [6720*f(x)*x^5-5944*f(x)*x^4+2070*f(x)*x^3+x^4-355*f(x)*x^2+30*f(x)*x-f(x) ogf] A143399 8.41229 [-2*(15-355*x+16800*x^4-11888*x^3+3105*x^2)/(6*x-1)/(4*x-1)/(8*x-1)/(7*x-1)/(5*x-1) lgdogf] A143399 9.99722 [-x^4/(6*x-1)/(4*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A143400 6.71891 [-(-45+1670*x-639300*x^4+178096*x^3-24525*x^2+907200*x^5)/(6*x-1)/(9*x-1)/(8*x-1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A143400 8.26294 [x^5/(6*x-1)/(9*x-1)/(8*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A143401 6.15999 [1/5*(-45045+14175*x-x^4+360*x^3-945*x^2+(25410*x^6+3711015*x^4+156080925*x^2+x^8+2029052025)^(1/2))/x/(8*x^2+315) lgdegf] A143401 6.63277 [-x^6/(9*x-1)/(6*x-1)/(7*x-1)/(12*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A143402 5.44856 [x^7/(9*x-1)/(13*x-1)/(7*x-1)/(12*x-1)/(14*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A143403 4.84274 [-x^8/(9*x-1)/(13*x-1)/(15*x-1)/(12*x-1)/(14*x-1)/(10*x-1)/(11*x-1)/(8*x-1)/(16*x-1) ogf] A143404 3.88017 [x^9/(15*x-1)/(10*x-1)/(11*x-1)/(13*x-1)/(17*x-1)/(9*x-1)/(12*x-1)/(16*x-1)/(18*x-1)/(14*x-1) ogf] A143405 35.6388 [2*exp(2*x)-exp(x) lgdegf] A143412 16.3145 [-15-8*x+(8-64*x)*f(x)+(-1+16*x-64*x^2)*f(x)^2 lgdegf] A143412 3.38961 [{(-2-n)*a(n+1)+(-8*n^2-35*n-36)*a(n+2)+(8*n^2+61*n+114)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=3,a(2)=37,a(3)=743} ogf] A143415 3.63102 [{(-n^2-2*n)*a(n)+(-4*n^3-18*n^2-28*n-15)*a(n+1)+(n^2+4*n+3)*a(n+2),a(0)=0,a(1)=1} ogf] A143431 10.8792 [{-a(n+4)-a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-1} ogf] A143431 12.7649 [f(x)*(f(x)*x^4+x^3-x^2+f(x)+x-1) ogf] A143431 16.7959 [-(x-1)*(x^2+1)/(x^4+1) ogf] A143431 19.9109 [-(-1+2*x+x^6+3*x^4-4*x^3-3*x^2-2*x^5)/(x-1)/(x^2+1)/(x^4+1) lgdogf] A143431 28.9494 [x^7-2*x^3+x-1 ogf_with_Euler_transform] A143432 13.1454 [-(x^4+1)/(x-1)/(x^2+1) ogf] A143432 16.7703 [(-1+2*x+x^6+3*x^4-4*x^3-3*x^2-2*x^5)/(x-1)/(x^2+1)/(x^4+1) lgdogf] A143432 22.6590 [-x^7+2*x^3-x+1 ogf_with_Euler_transform] A143432 5.27668 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=0,a(3)=0,a(4)=2} ogf] A143432 8.81515 [-f(x)*x^3-x^4+f(x)*x^2-f(x)*x+f(x)-1 ogf] A143433 3.85453 [-(x^15+x^14-x^12-x^11-x^10+x^9+x^8+2*x^7+x^6+x^5-x^4-x^3-x^2+1)/(-x^16+1) ogf_with_Euler_transform] A143434 3.93483 [-(x^15-x^14+x^13+x^12-x^11+x^10-x^8+2*x^7-x^6+x^4-x^3+x^2+x-1)/(-x^16+1) ogf_with_Euler_transform] A143438 6.93277 [1/(x^6-x^4-x^3-x^2+1) ogf] A143438 8.30546 [-x*(-2-4*x^2-3*x+6*x^4)/(1-x^2-x^3-x^4+x^6) lgdogf] A143447 11.7547 [-(2*x^4+2*x^3+2*x^2+2*x+1)/(2*x^5+x-1) ogf] A143447 8.84582 [-(3+4*x+12*x^6+4*x^4+4*x^3+4*x^2+16*x^5+8*x^7+4*x^8)/(2*x^4+2*x^3+2*x^2+2*x+1)/(2*x^5+x-1) lgdogf] A143448 10.8120 [-(2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(2*x^5-2*x^4+2*x^3-2*x^2+2*x-1) ogf] A143449 6.07322 [-(3+4*x+4*x^6+4*x^4+4*x^3+16*x^9+12*x^10+8*x^11+4*x^12+4*x^2+4*x^5+24*x^7+20*x^8)/(2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(2*x^7+x-1) lgdogf] A143449 9.53905 [-(2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(2*x^7+x-1) ogf] A143450 9.02509 [-(2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(2*x^7-2*x^6+2*x^5-2*x^4+2*x^3-2*x^2+2*x-1) ogf] A143451 8.31733 [-(2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(2*x^9+x-1) ogf] A143452 7.64212 [-(2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(2*x^9-2*x^8+2*x^7-2*x^6+2*x^5-2*x^4+2*x^3-2*x^2+2*x-1) ogf] A143454 10.1533 [-(4+6*x+9*x^6+27*x^4+6*x^3+6*x^2+18*x^5)/(3*x^3+3*x^2+3*x+1)/(3*x^4+x-1) lgdogf] A143454 12.9046 [-(3*x^3+3*x^2+3*x+1)/(3*x^4+x-1) ogf] A143454 7.79386 [(4*f(x)+5)*(3*f(x)*x^4+3*x^3+f(x)*x+3*x^2-f(x)+3*x+1) ogf] A143455 10.8601 [-(3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^5+x-1) ogf] A143455 8.07465 [-(4+6*x+27*x^6+6*x^4+6*x^3+6*x^2+36*x^5+18*x^7+9*x^8)/(3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^5+x-1) lgdogf] A143456 6.77956 [-(4+6*x+45*x^6+6*x^4+6*x^3+18*x^9+9*x^10+6*x^2+6*x^5+36*x^7+27*x^8)/(3*x^6+x-1)/(3*x^5+3*x^4+3*x^3+3*x^2+3*x+1) lgdogf] A143456 9.96477 [-(3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^6+x-1) ogf] A143457 5.59849 [-(4+6*x+6*x^6+6*x^4+6*x^3+36*x^9+27*x^10+18*x^11+9*x^12+6*x^2+6*x^5+54*x^7+45*x^8)/(3*x^7+x-1)/(3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1) lgdogf] A143457 8.86888 [-(3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^7+x-1) ogf] A143458 8.78909 [-(3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^8+x-1) ogf] A143459 7.75571 [-(3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^9+x-1) ogf] A143460 7.12884 [-(3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(3*x^10+x-1) ogf] A143462 22.8701 [1/(8*x^2+4*x+1) ogf] A143462 29.6188 [-4*(4*x+1)/(8*x^2+1+4*x) lgdogf] A143462 8.08822 [{a(n+2)+4*a(n+1)+8*a(n),a(0)=1,a(1)=-4} ogf] A143462 8.18807 [(f(x)-4)*(8*f(x)*x^2+4*f(x)*x+f(x)-1) ogf] A143464 5.43693 [(-32*n-32*n^2)*a(n)+(-136*n-96-40*n^2)*a(n+1)+(-102-82*n-16*n^2)*a(n+2)+(-30-21*n-3*n^2)*a(n+3),a(0)=0,a(1)=1,a(2)=-3 revogf] A143464 7.21594 [-f(x)^2*x^2-8*f(x)^2*x+2*f(x)^2-5*f(x)*x+f(x)-x ogf] A143472 14.7596 [1/(x^10-x^7-x^5-x^3+1) ogf] A143472 16.1836 [-x^2*(-3-5*x^2-7*x^4+10*x^7)/(1-x^3-x^5-x^7+x^10) lgdogf] A143478 6.71330 [-1/(x^11+8*x^10-24*x^9-42*x^8+54*x^7+66*x^6-40*x^5-42*x^4+11*x^3+11*x^2-x-1) ogf] A143488 10.6591 [-(2*x^12+x^10+x^8-x^5+x^3+1)/(x-1)/(x^4+1)/(x^8-x^4+1) ogf] A143489 10.7749 [-(x^12+x^9-x^7+x^4+x^2+2)/(x-1)/(x^4+1)/(x^8-x^4+1) ogf] A143490 10.2195 [-(3*x^12+x^11-x^8-x^6-x^4+x+3)/(x-1)/(x^4+1)/(x^8-x^4+1) ogf] A143510 2.65379 [(f(x)-16842752)*(2*f(x)*x-f(x)+16842752) ogf] A143511 2.12784 [(f(x)-33817088)*(f(x)*x^2-2*f(x)*x+f(x)-33817088) ogf] A143555 6.30305 [f(x)^3*x-x^4-f(x)^2*x+2*f(x)*x^2-f(x)^2-2*x^2+2*f(x)-1 ogf] A143604 7.98280 [1/(x^10+x^8-x^7-x^5-x^3+x^2+1) ogf] A143604 9.64527 [-x*(2-7*x^5-5*x^3+10*x^8-3*x+8*x^6)/(1+x^2-x^3-x^5-x^7+x^8+x^10) lgdogf] A143605 12.1374 [1/(x^10+x^9-x^5+x+1) ogf] A143605 14.8129 [-(1-5*x^4+10*x^9+9*x^8)/(-x^5+1+x+x^10+x^9) lgdogf] A143606 8.05314 [1/(x^12+x^11-x^9-x^7-x^6-x^5-x^3+x+1) ogf] A143606 8.67714 [-(1-7*x^6-5*x^4+11*x^10+12*x^11-3*x^2-6*x^5-9*x^8)/(-x^3+1+x+x^12-x^6-x^5-x^9-x^7+x^11) lgdogf] A143607 11.2182 [-(x+1)*(x^3+2*x+1)/(x^4+2*x^2-1) ogf] A143607 12.5434 [-(x^2+1)*(x^4+6*x^2+8*x+3)/(x+1)/(x^3+2*x+1)/(x^4+2*x^2-1) lgdogf] A143607 7.12114 [-(12*f(x)+11)*(f(x)*x^4+x^4+2*f(x)*x^2+x^3+2*x^2-f(x)+3*x+1) ogf] A143608 10.6454 [-2*(-2-7*x+6*x^4+2*x^3-12*x^2+x^5)/(x^2+4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A143608 12.3849 [x*(x^2+4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A143608 7.19502 [-(328*f(x)+145)*(f(x)*x^4-6*f(x)*x^2-x^3-4*x^2+f(x)-x) ogf] A143609 11.5118 [-(x^3+2*x^2-3*x-2)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A143609 6.80239 [-(1912*f(x)-741)*(f(x)*x^4-6*f(x)*x^2+x^3+2*x^2+f(x)-3*x-2) ogf] A143611 11.3586 [1/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1)/(x-1)^2 ogf] A143611 8.44309 [-(1+3*x-x^6-x^4-x^3+x^9+12*x^10+3*x^2-x^5-9*x^7-9*x^8)/(x-1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) lgdogf] A143616 14.8146 [-(x^5-x^4+5*x-6)/(x-1)^2 ogf] A143616 18.8646 [(7-5*x-7*x^4+4*x^3+3*x^5)/(x-1)/(x^5-x^4+5*x-6) lgdogf] A143617 5.57313 [-2*x*(6*x^10+34*x^9-30*x^8+30*x^7-10*x^6-20*x^5-4*x^4-x^3-4*x^2-x-4)/(x-1)/(10*x^7-1) ogf] A143618 10.1712 [(8+14*x+2*x^6-18*x^4+8*x^3+27*x^2+10*x^7)/(x-1)/(x^2+x+1)/(5*x^5+2*x^4-4*x^3-7*x^2-8*x-5) lgdogf] A143618 12.6523 [(5*x^5+2*x^4-4*x^3-7*x^2-8*x-5)/(x-1)/(x^2+x+1) ogf] A143619 18.6742 [-x*(-2-7*x^5-12*x^10+14*x^12)/(1-x^2-x^7-x^12+x^14) lgdogf] A143619 18.7557 [1/(x^14-x^12-x^7-x^2+1) ogf] A143621 10.2477 [f(x)*(f(x)*x^4-x^3-x^2+f(x)-x-1) ogf] A143621 13.4838 [(x+1)*(x^2+1)/(x^4+1) ogf] A143621 15.8128 [-(-1-2*x+x^6+3*x^4+4*x^3-3*x^2+2*x^5)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A143621 26.4321 [x^7-2*x^3+1 ogf_with_Euler_transform] A143621 8.73384 [{-a(n+4)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A143622 25.9155 [x^15-2*x^7+1 ogf_with_Euler_transform] A143622 7.83223 [-(-2*x+2*x^13-7*x^6-5*x^4-4*x^3+6*x^9+5*x^10+4*x^11+3*x^12-3*x^2+x^14-6*x^5+8*x^7+7*x^8-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) lgdogf] A143622 8.75855 [(x+1)*(x^2+1)*(x^4+1)/(x^8+1) ogf] A143642 10.8645 [-(x+1)*(x^3-2*x^2-x-1)/(x^6-4*x^3+1) ogf] A143642 7.70874 [-(2+6*x-6*x^6+12*x^4+12*x^3+2*x^9+15*x^2-6*x^5-12*x^7-3*x^8)/(x+1)/(x^3-2*x^2-x-1)/(x^6-4*x^3+1) lgdogf] A143643 10.6854 [(142*f(x)-39)*(f(x)*x^4-4*f(x)*x^2-x^2+f(x)-3*x-1) ogf] A143643 7.21055 [-(-3-10*x+9*x^4+4*x^3-12*x^2+2*x^5)/(x^2+3*x+1)/(x^4-4*x^2+1) lgdogf] A143643 7.94519 [(x^2+3*x+1)/(x^4-4*x^2+1) ogf] A143644 13.6403 [-x^2*(14*x^11+7*x^4-4*x-10*x^7-11*x^8-3)/(1-x^3-x^4+x^7-x^10-x^11+x^14) lgdogf] A143644 14.3034 [1/(x^14-x^11-x^10+x^7-x^4-x^3+1) ogf] A143645 18.9933 [(36+110*x+4*x^3+51*x^2)/(55*x^2+24+36*x+x^4+17*x^3) lgdogf] A143645 5.38378 [-(189772226*f(x)-25531237173)*(-x^4-17*x^3-55*x^2+f(x)-36*x-24) ogf] A143645 5.67015 [{-a(n+5),a(0)=24,a(1)=36,a(2)=55,a(3)=17,a(4)=1} ogf] A143646 6.50956 [-f(x)^2*x^2-14*f(x)^2*x+3*f(x)^2-7*f(x)*x+f(x)-x ogf] A143647 13.1497 [-(5*x-1)/(22*x^2-10*x+1) ogf] A143647 14.7771 [-(5-44*x+110*x^2)/(5*x-1)/(22*x^2-10*x+1) lgdogf] A143647 6.7178 [-(6*f(x)+19)*(22*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A143647 7.35760 [{a(n+2)-10*a(n+1)+22*a(n),a(0)=1,a(1)=5} ogf] A143648 13.1708 [-(4*x-1)/(10*x^2-8*x+1) ogf] A143648 14.4800 [-4*(1-5*x+10*x^2)/(-1+4*x)/(10*x^2-8*x+1) lgdogf] A143648 6.58543 [-(81*f(x)-17)*(10*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A143648 7.29951 [{a(n+2)-8*a(n+1)+10*a(n),a(0)=1,a(1)=4} ogf] A143662 11.7044 [x^6/(2*x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A143662 12.1142 [-(-3+2*x+14*x^6+5*x^4+4*x^3+3*x^2+6*x^5)/(-1+2*x)/(x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A143689 13.0098 [-(3*x^2-x+1)/(x-1)^3 ogf] A143689 24.3160 [-(2+4*x+3*x^2)/(x-1)/(3*x^2-x+1) lgdogf] A143689 7.02298 [(81*f(x)-61)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-x+1) ogf] A143689 7.08568 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A143690 11.1736 [(5*x^2+3*x+1)/(x-1)^4 ogf] A143690 21.0061 [-(5*x+7)*(2*x+1)/(x-1)/(5*x^2+3*x+1) lgdogf] A143690 3.85488 [{(-n-4)*a(n+4)+(1-2*n)*a(n+3)+(15-2*n)*a(n+2)+(15+5*n)*a(n+1),a(0)=1,a(1)=7,a(2)=27,a(3)=70} ogf] A143690 5.46791 [(2599614*f(x)+9101315)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-3*x-1) ogf] A143698 12.2075 [-12*x*(3*x+1)/(x-1)^3 ogf] A143698 32.2423 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A143698 6.10375 [-(268*f(x)-4095)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+36*x^2-f(x)+12*x) ogf] A143698 6.37383 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=72} ogf] A143699 3.53649 [-(769500*f(x)-40183)*(f(x)*x^4-19*f(x)*x^3+41*f(x)*x^2+x^3-19*f(x)*x+f(x)-x) ogf] A143699 6.53527 [-(19-84*x-19*x^4-4*x^3+76*x^2+2*x^5)/(x-1)/(x+1)/(x^4-19*x^3+41*x^2-19*x+1) lgdogf] A143699 7.33301 [-x*(x-1)*(x+1)/(x^4-19*x^3+41*x^2-19*x+1) ogf] A143721 12.7455 [(22+28*x+35*x^4+32*x^3+30*x^2+6*x^5)/(14*x^2+38+22*x+8*x^4+10*x^3+x^6+7*x^5) lgdogf] A143722 14.5268 [(76+128*x+5*x^4+164*x^3+189*x^2)/(64*x^2+48+76*x+41*x^4+63*x^3+x^5) lgdogf] A143723 9.44945 [(46+52*x+21*x^6+45*x^4+60*x^3+48*x^2+24*x^5+8*x^7)/(26*x^2+52+46*x+x^8+15*x^4+16*x^3+4*x^6+9*x^5+3*x^7) lgdogf] A143733 9.29441 [(34+40*x+49*x^6+50*x^4+56*x^3+66*x^2+48*x^5+8*x^7)/(20*x^2+62+34*x+x^8+14*x^4+22*x^3+8*x^6+10*x^5+7*x^7) lgdogf] A143737 19.3732 [(58+64*x+4*x^3+93*x^2)/(32*x^2+68+58*x+x^4+31*x^3) lgdogf] A143737 5.67015 [{-a(n+5),a(0)=68,a(1)=58,a(2)=32,a(3)=31,a(4)=1} ogf] A143737 5.73112 [(60106950*f(x)+8012990687)*(-x^4-31*x^3-32*x^2+f(x)-58*x-68) ogf] A143741 9.20589 [(123+90*x+21*x^6+45*x^4+60*x^3+99*x^2+24*x^5+8*x^7)/(45*x^2+72+123*x+x^8+15*x^4+33*x^3+4*x^6+9*x^5+3*x^7) lgdogf] A143749 30.6039 [-x*(-1+x)/(1+9*x) revogf] A143749 8.81808 [-1/2*(-9*x-1+(1-22*x+81*x^2)^(1/2))/(1-22*x+81*x^2)^(1/2)/x lgdogf] A143749 9.61706 [-f(x)^2-9*f(x)*x+f(x)-x ogf] A143754 20.2224 [(49+16*x+4*x^3+21*x^2)/(8*x^2+75+49*x+x^4+7*x^3) lgdogf] A143754 6.22895 [-(162*f(x)+79217)*(-x^4-7*x^3-8*x^2+f(x)-49*x-75) ogf] A143755 11.5624 [(106+112*x+205*x^4+252*x^3+192*x^2+6*x^5)/(56*x^2+80+106*x+63*x^4+64*x^3+x^6+41*x^5) lgdogf] A143756 18.6280 [(40+100*x+4*x^3+129*x^2)/(50*x^2+81+40*x+x^4+43*x^3) lgdogf] A143756 5.67015 [{-a(n+5),a(0)=81,a(1)=40,a(2)=50,a(3)=43,a(4)=1} ogf] A143756 5.73112 [(305208*f(x)+230297421959)*(-x^4-43*x^3-50*x^2+f(x)-40*x-81) ogf] A143757 14.7469 [(44+80*x+5*x^4+172*x^3+150*x^2)/(40*x^2+82+44*x+43*x^4+50*x^3+x^5) lgdogf] A143757 5.11569 [-(97760215*f(x)-2842349322)*(-x^5-43*x^4-50*x^3-40*x^2+f(x)-44*x-82) ogf] A143758 13.5854 [(140+392*x+5*x^4+148*x^3+609*x^2)/(196*x^2+84+140*x+37*x^4+203*x^3+x^5) lgdogf] A143758 4.81933 [-(3047929033*f(x)-125451156356)*(-x^5-37*x^4-203*x^3-196*x^2+f(x)-140*x-84) ogf] A143759 9.44945 [(46+52*x+21*x^6+45*x^4+60*x^3+48*x^2+24*x^5+8*x^7)/(26*x^2+86+46*x+x^8+15*x^4+16*x^3+4*x^6+9*x^5+3*x^7) lgdogf] A143767 13.0043 [(33+30*x+15*x^4+16*x^3+27*x^2+6*x^5)/(15*x^2+87+33*x+4*x^4+9*x^3+x^6+3*x^5) lgdogf] A143769 11.8872 [3*(3*x+1)*(2*x-1)/(x+1)/(3*x^2+1) ogf] A143769 6.24584 [(544*f(x)-18051)*(3*f(x)*x^3+3*f(x)*x^2+f(x)*x-18*x^2+f(x)+3*x+3) ogf] A143769 6.58044 [{-a(n+3)-a(n+2)-3*a(n+1)-3*a(n),a(0)=-3,a(1)=0,a(2)=27} ogf] A143785 15.5101 [-4*(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+2*x+3) lgdogf] A143785 9.48273 [(x^2+2*x+3)/(x+1)^2/(x-1)^4 ogf] A143787 14.5941 [(x+1)*(x-1)^2/(x^3-3*x^2-2*x+1) ogf] A143787 7.57135 [{a(n+4)-2*a(n+3)-3*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=11} ogf] A143787 8.39162 [(3+17*f(x))*(f(x)*x^3-3*f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+x-1) ogf] A143795 13.6598 [(9*x^2+x+1)/(x+1)/(x-1)^2 ogf] A143795 17.7640 [-(2+22*x+9*x^3+11*x^2)/(x-1)/(x+1)/(9*x^2+x+1) lgdogf] A143795 7.06142 [(1408*f(x)+16469)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-x-1) ogf] A143795 7.37387 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=12} ogf] A143838 12.0620 [-(12*x^2+19*x+1)/(x-1)^3 ogf] A143838 18.6288 [-2*(11+31*x+6*x^2)/(x-1)/(12*x^2+19*x+1) lgdogf] A143838 6.03103 [(7187456*f(x)-84948261)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+19*x+1) ogf] A143838 6.66587 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=22,a(2)=75} ogf] A143839 12.0620 [-(10*x^2+21*x+1)/(x-1)^3 ogf] A143839 18.6288 [-2*(12+31*x+5*x^2)/(x-1)/(10*x^2+21*x+1) lgdogf] A143839 6.03103 [(1102848*f(x)-13888753)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+21*x+1) ogf] A143839 6.66587 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=24,a(2)=79} ogf] A143840 7.43480 [-(-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(-x^9-1) ogf_with_Euler_transform] A143845 13.6931 [-x*(x+2)*(x^2+4)/(x^4+1)/(x-1) ogf] A143845 14.0015 [-(12+4*x+5*x^6+28*x^4-34*x^3+x^2+12*x^5+2*x^7)/(x-1)/(x+2)/(x^2+4)/(x^4+1) lgdogf] A143846 11.7880 [(92+152*x+205*x^4+252*x^3+192*x^2+6*x^5)/(76*x^2+88+92*x+63*x^4+64*x^3+x^6+41*x^5) lgdogf] A143847 7.98549 [(156+472*x+259*x^6+980*x^4+704*x^3+552*x^2+1218*x^5+8*x^7)/(236*x^2+96+156*x+x^8+176*x^4+184*x^3+203*x^6+196*x^5+37*x^7) lgdogf] A143854 12.0620 [-(14*x^2+17*x+1)/(x-1)^3 ogf] A143854 18.6288 [-2*(10+31*x+7*x^2)/(x-1)/(14*x^2+17*x+1) lgdogf] A143854 6.03103 [(6679552*f(x)-74787043)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+17*x+1) ogf] A143854 6.66587 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=20,a(2)=71} ogf] A143855 12.1376 [-(24*x^2+7*x+1)/(x-1)^3 ogf] A143855 18.9173 [-2*(5+31*x+12*x^2)/(x-1)/(24*x^2+7*x+1) lgdogf] A143855 6.11814 [(644096*f(x)-6391599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+7*x+1) ogf] A143855 6.60116 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=51} ogf] A143856 12.1376 [-(22*x^2+9*x+1)/(x-1)^3 ogf] A143856 18.9173 [-2*(6+31*x+11*x^2)/(x-1)/(22*x^2+9*x+1) lgdogf] A143856 6.02025 [(4893696*f(x)-48801211)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)+9*x+1) ogf] A143856 6.60116 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=55} ogf] A143859 12.0620 [-(16*x^2+15*x+1)/(x-1)^3 ogf] A143859 19.1065 [-2*(9+31*x+8*x^2)/(x-1)/(16*x^2+15*x+1) lgdogf] A143859 6.03103 [(6196224*f(x)-66379249)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+15*x+1) ogf] A143859 6.66587 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=18,a(2)=67} ogf] A143860 12.0035 [-(18*x^2+13*x+1)/(x-1)^3 ogf] A143860 19.0119 [-2*(9*x^2+31*x+8)/(x-1)/(18*x^2+13*x+1) lgdogf] A143860 6.00175 [(5737472*f(x)-59415279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+13*x+1) ogf] A143860 6.63351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=63} ogf] A143861 12.0035 [-(20*x^2+11*x+1)/(x-1)^3 ogf] A143861 18.5366 [-2*(7+31*x+10*x^2)/(x-1)/(20*x^2+11*x+1) lgdogf] A143861 6.00175 [(5303296*f(x)-53630461)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+11*x+1) ogf] A143861 6.63351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=14,a(2)=59} ogf] A143894 15.0036 [-(-8*x^2+10*x-8)/(-x^4+1) ogf_with_Euler_transform] A143894 99.9999 Evaluated at exp(-Pi) 4*exp(-1/2*Pi)*2^(3/4) A143895 13.9314 [-(-10*x^2+8*x-10)/(-x^4+1) ogf_with_Euler_transform] A143895 99.9999 Evaluated at exp(-Pi) 2*exp(-1/4*Pi)*2^(3/4) A143918 5.12277 [{(-n^2-3*n)*a(n)+(n^2+4*n+5)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A143919 17.9003 [(117+130*x+4*x^3+57*x^2)/(65*x^2+100+117*x+x^4+19*x^3) lgdogf] A143919 5.58851 [{-a(n+5),a(0)=100,a(1)=117,a(2)=65,a(3)=19,a(4)=1} ogf] A143919 5.70741 [(48834555*f(x)+410236787)*(-x^4-19*x^3-65*x^2+f(x)-117*x-100) ogf] A143927 47.9971 [x/(x^2+x+1)^2 revogf] A143938 16.0386 [-(-109-13*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2-x-27) lgdogf] A143938 3.64335 [{(121*n^2+662*n+840)*a(n+1)+(534*n^2+5670*n+12147)*a(n+2)+(-655*n^2-4004*n-6117)*a(n+3),a(0)=27,a(1)=109,a(2)=279} ogf] A143938 5.0408 [(7184*f(x)+175797)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)-x-27) ogf] A143938 9.43535 [-(x^3-5*x^2-x-27)/(x-1)^4 ogf] A143941 11.7547 [-(x+1)*(x-3)/(x-1)^4 ogf] A143941 22.4686 [-2*(-7-2*x+x^2)/(x-1)/(x-3)/(x+1) lgdogf] A143941 4.01522 [{(-3*n-12)*a(n+4)+(17+n)*a(n+3)+(10+3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=3,a(1)=14,a(2)=37,a(3)=76} ogf] A143941 6.00796 [(1000*f(x)+6101)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-2*x-3) ogf] A143943 10.4390 [2*(x+2)^2/(x-1)^4 ogf] A143943 35.2977 [-2*(5+x)/(x+2)/(x-1) lgdogf] A143943 4.67719 [{(-2*n-6)*a(n+3)+(12+n)*a(n+2)+(n+3)*a(n+1),a(0)=8,a(1)=40,a(2)=114} ogf] A143943 5.37528 [(171*f(x)+1718)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-8*x-8) ogf] A143945 20.4072 [-(9+17*x+4*x^2)/(x-1)/(x^2+3*x+1) lgdogf] A143945 3.50302 [{(n+3)*a(n+4)+(-5+2*n)*a(n+3)+(-19-2*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=8,a(2)=72,a(3)=320} ogf] A143945 7.49570 [8*x*(x^2+3*x+1)/(x-1)^6 ogf] A143954 3.34079 [{(4*n+10)*a(n+1)+(-9*n-23)*a(n+2)+(6*n+16)*a(n+3)+(-n-3)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=5} ogf] A143955 3.40053 [{(-4*n^2-14*n-12)*a(n+1)+(5*n^2+19*n+12)*a(n+2)+(-n^2-5*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A143955 4.57571 [f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+5*f(x)*x^3-10*f(x)*x^2+x^3+6*f(x)*x-f(x) ogf] A143960 5.37123 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=2,a(1)=10,a(2)=38} ogf] A143960 6.52321 [(7*f(x)-78)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-4*x^2-f(x)-4*x+2) ogf] A143960 8.77028 [-(-5+32*x+16*x^4+32*x^3-66*x^2)/(x-1)/(-1+2*x)/(-1+4*x)/(2*x^2+2*x-1) lgdogf] A143960 9.96277 [2*(2*x^2+2*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A143975 13.6598 [-(-3-6*x-x^4-4*x^3-6*x^2+2*x^5)/(x-1)/(x^2+x+1)/(x^3-x^2-x-1) lgdogf] A143975 9.99234 [(x^3-x^2-x-1)/(x^2+x+1)/(x-1)^3 ogf] A143978 10.8274 [-(x+1)^2/(x^2+x+1)/(x-1)^3 ogf] A143978 20.4477 [-(x+2)*(3*x^2+x+2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A143978 33.1846 [x^2-2*x+4 ogf_with_Euler_transform] A143988 13.5364 [(5*x^2+8*x+5)/(x+1)/(x-1)^2 ogf] A143988 16.5258 [-(13+33*x+5*x^3+21*x^2)/(x-1)/(x+1)/(5*x^2+8*x+5) lgdogf] A143988 7.24315 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=5,a(1)=13,a(2)=23} ogf] A143988 7.3725 [(9*f(x)-38)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-8*x-5) ogf] A144044 4.56592 [-(54918*f(x)-4475)*(1000*f(x)*x^3-140*f(x)*x^2-14*f(x)*x+f(x)+10*x-1) ogf] A144044 4.60397 [{-a(n+3)+14*a(n+2)+140*a(n+1)-1000*a(n),a(0)=1,a(1)=4,a(2)=196} ogf] A144044 8.45536 [-4*(1+70*x+5000*x^3-1100*x^2)/(10*x+1)/(10*x-1)/(100*x^2-24*x+1) lgdogf] A144044 9.20793 [-(10*x-1)/(10*x+1)/(100*x^2-24*x+1) ogf] A144065 12.0281 [x*(x^3-3*x-1)/(x+1)^2/(x-1)^3 ogf] A144065 19.2389 [-(x+2)*(2*x^3-3*x^2-3*x-2)/(x-1)/(x+1)/(x^3-3*x-1) lgdogf] A144065 4.99629 [{(n+5)*a(n+1)+(-n-5)*a(n+2)+(-n-3)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=6} ogf] A144067 30.2575 [3/(-3*x+1) ogf_with_Euler_transform] A144068 29.7244 [4/(-4*x+1) ogf_with_Euler_transform] A144069 27.4007 [5/(-5*x+1) ogf_with_Euler_transform] A144070 29.4710 [6/(-6*x+1) ogf_with_Euler_transform] A144071 28.1599 [7/(-7*x+1) ogf_with_Euler_transform] A144072 27.3244 [8/(-8*x+1) ogf_with_Euler_transform] A144073 27.9133 [9/(-9*x+1) ogf_with_Euler_transform] A144075 14.2651 [-(x^4-x^3-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A144075 15.4178 [-(-1-x-x^6-2*x^3-4*x^2+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3-1) lgdogf] A144085 15.6775 [-7+7*x^2-7*x+(5+9*x^2-16*x)*f(x)+(2-4*x+2*x^2)*f(x)^2 lgdegf] A144085 4.28146 [{(-n^2-5*n-6)*a(n+1)+(-n^2-4*n-3)*a(n+2)+(2*n+7)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=18} ogf] A144086 3.14321 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(-n^3-7*n^2-12*n)*a(n+2)+(2*n^2+13*n+20)*a(n+3)+(-3-n)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=12} ogf] A144086 38.7193 [-(-1-x+x^2)/(x-1)^2 lgdegf] A144087 3.38475 [{(n^3+9*n^2+26*n+24)*a(n+1)+(n^3+6*n^2+5*n-12)*a(n+2)+(-2*n^2-11*n-12)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A144087 42.2466 [-(-1-x+x^2)/(x-1)^2 lgdegf] A144109 4.52292 [(40493*f(x)+8556)*(f(x)*x^4-5*f(x)*x^3+2*f(x)*x^2-5*f(x)*x-x^2+f(x)-4*x-1) ogf] A144109 8.91474 [(x^2+4*x+1)/(x^2+1)/(x^2-5*x+1) ogf] A144109 9.13262 [-(-9+2*x+7*x^4-36*x^3-2*x^2+2*x^5)/(x^2+1)/(x^2+4*x+1)/(x^2-5*x+1) lgdogf] A144110 10.3574 [f(x)*(f(x)*x^4-f(x)*x^3+x^3+f(x)*x-f(x)+2) ogf] A144110 17.9893 [-(x^3+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A144110 20.1332 [-(2+x^6+6*x^3-3*x^2)/(x-1)/(x+1)/(x^3+2)/(x^2-x+1) lgdogf] A144110 8.26927 [{a(n+4)-a(n+3)+a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=1} ogf] A144124 6.19677 [-(x^4+316*x^3+1046*x^2+316*x+1)/(x-1)^5 ogf] A144124 8.71886 [-(321+3356*x+x^4+636*x^3+4086*x^2)/(x-1)/(x^4+316*x^3+1046*x^2+316*x+1) lgdogf] A144126 3.91442 [-(x^6+8982*x^5+150543*x^4+346228*x^3+150543*x^2+8982*x+1)/(x-1)^7 ogf] A144128 10.9499 [-1/2*(-1-36*x+(34*x+1)^(1/2)*(38*x+1)^(1/2))/x revogf] A144128 15.1332 [1/(x^2-36*x+1) ogf] A144128 21.8999 [-2*(-18+x)/(x^2+1-36*x) lgdogf] A144128 6.12535 [(647*f(x)+1)*(f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A144128 6.12536 [{-a(n+2)+36*a(n+1)-a(n),a(0)=1,a(1)=36} ogf] A144129 20.7370 [-2*(13+34*x+x^2)/(x-1)/(x^2+22*x+1) lgdogf] A144129 3.66482 [{(n+3)*a(n+4)+(16+21*n)*a(n+3)+(-89-21*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=1,a(2)=26,a(3)=99} ogf] A144129 5.04539 [-(11280*f(x)+98971)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-22*x^2+f(x)-x) ogf] A144129 9.95443 [x*(x^2+22*x+1)/(x-1)^4 ogf] A144130 10.4735 [-(1+188*x+x^4+188*x^3+582*x^2)/(x-1)/(x^4+92*x^3+102*x^2-4*x+1) lgdogf] A144130 6.87182 [-(x^4+92*x^3+102*x^2-4*x+1)/(x-1)^5 ogf] A144133 11.4068 [1/(x^2-6*x+1)^2 ogf] A144133 29.0586 [-4*(x-3)/(x^2+1-6*x) lgdogf] A144133 3.85166 [{(-n-3)*a(n+3)+(24+6*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=12,a(2)=106} ogf] A144133 4.70758 [(80239*f(x)+175)*(f(x)*x^4-12*f(x)*x^3+38*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A144135 22.9369 [-4*(-8+x)/(x^2+1-16*x) lgdogf] A144135 3.32711 [{(-n-3)*a(n+3)+(64+16*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=32,a(2)=766} ogf] A144135 3.96693 [(10956713*f(x)+425)*(f(x)*x^4-32*f(x)*x^3+258*f(x)*x^2-32*f(x)*x+f(x)-1) ogf] A144135 9.73023 [1/(x^2-16*x+1)^2 ogf] A144138 10.9128 [4*x*(x^2+10*x+1)/(x-1)^4 ogf] A144138 23.4304 [-2*(7+16*x+x^2)/(x-1)/(x^2+10*x+1) lgdogf] A144138 4.05802 [{(n+3)*a(n+4)+(4+9*n)*a(n+3)+(-41-9*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=56,a(3)=204} ogf] A144138 5.64716 [-(138*f(x)+2207)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-40*x^2+f(x)-4*x) ogf] A144139 10.5699 [-(5+388*x+5*x^4+388*x^3+1134*x^2)/(x-1)/(5*x^4+184*x^3+194*x^2+1) lgdogf] A144139 7.37523 [-(5*x^4+184*x^3+194*x^2+1)/(x-1)^5 ogf] A144141 5.84267 [{(2*n+4)*a(n+1)+a(n+3)-4*a(n+2),a(0)=1,a(1)=4,a(2)=14} ogf] A144141 53.5884 [-4+2*x+f(x) lgdegf] A144142 5.92880 [{(2*n+4)*a(n+1)+a(n+3)-6*a(n+2),a(0)=1,a(1)=6,a(2)=34} ogf] A144142 53.1097 [-6+2*x+f(x) lgdegf] A144143 49.0210 [-8+2*x+f(x) lgdegf] A144143 6.08654 [{(2*n+4)*a(n+1)+a(n+3)-8*a(n+2),a(0)=1,a(1)=8,a(2)=62} ogf] A144180 15.7037 [(-n-2)*a(n+2)+a(n+1),a(0)=5,a(1)=5 lgdegf] A144181 13.7468 [-(4*x^3+2*x^2+1)/(2*x^3+x-1) ogf] A144181 6.87342 [{a(n+4)-a(n+3)-2*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=9} ogf] A144181 7.75811 [-(f(x)-1)*(2*f(x)*x^3+4*x^3+f(x)*x+2*x^2-f(x)+1) ogf] A144223 14.1307 [(-n-2)*a(n+2)+a(n+1),a(0)=6,a(1)=6 lgdegf] A144248 15.8618 [-(-23-x)/(x-1) ogf_with_Euler_transform] A144249 15.9476 [-(-22-2*x)/(x-1) ogf_with_Euler_transform] A144263 14.6927 [(-n-2)*a(n+2)+a(n+1),a(0)=7,a(1)=7 lgdegf] A144297 15.8067 [-(-2*x+2+(1-2*x)^(1/2))/(-1+2*x) lgdegf] A144298 11.5440 [-(3*x^2+8*x+9)*(x^3-3*x^2-3*x-1)/(x-1)/(x+1)/(x^4-x^3-5*x^2-6*x-1) lgdogf] A144298 6.46324 [4*x^2*(x^4-x^3-5*x^2-6*x-1)/(x+1)^2/(x-1)^5 ogf] A144301 3.56328 [{(4+2*n)*a(n+1)+(4*n^2+15*n+16)*a(n+2)+(2*n^2+11*n+16)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=7} ogf] A144301 30.1372 [-1+(1-2*x)*f(x)^2 lgdegf] A144312 12.9660 [-5*x*(2*x+3)/(x-1)^3 ogf] A144312 32.7763 [-(11+4*x)/(2*x+3)/(x-1) lgdogf] A144312 6.48302 [-(405*f(x)-3724)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+15*x) ogf] A144312 6.76987 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=55} ogf] A144314 12.8798 [-3*x*(5*x+7)/(x-1)^3 ogf] A144314 29.9537 [-2*(13+5*x)/(5*x+7)/(x-1) lgdogf] A144314 6.43991 [(43920*f(x)-573667)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+21*x) ogf] A144314 6.72486 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=78} ogf] A144335 13.6746 [-(3+4*x+x^4-2*x^3+9*x^2)/(x-1)/(x^4-3*x^3+6*x^2-2*x+1) lgdogf] A144335 7.92612 [-(x^4-3*x^3+6*x^2-2*x+1)/(x-1)^5 ogf] A144345 12.1173 [-1/6*((4*x+1)^(1/2)*x+(4*x+1)^(1/2)-1-3*x-2*x^3)/x^3 revegf] A144345 4.39495 [{(-9*n^2-45*n-56)*a(n+1)+(6*n+18)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=52} ogf] A144346 4.63623 [{(-9*n^2-63*n-110)*a(n+1)+(6*n+24)*a(n+2)-a(n+3),a(0)=1,a(1)=12,a(2)=160} ogf] A144347 4.32438 [{(-25*n^2-135*n-182)*a(n+1)+(10*n+32)*a(n+2)-a(n+3),a(0)=1,a(1)=12,a(2)=192} ogf] A144349 4.52941 [{(-36*n^2-198*n-272)*a(n+1)+(12*n+39)*a(n+2)-a(n+3),a(0)=1,a(1)=15,a(2)=295} ogf] A144390 13.4440 [(x^2-6*x-1)/(x-1)^3 ogf] A144390 25.1463 [-(-9-10*x+x^2)/(x-1)/(x^2-6*x-1) lgdogf] A144390 6.94984 [(2160*f(x)-10609)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+6*x+1) ogf] A144390 7.25736 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=23} ogf] A144391 13.5071 [(x^2-4*x-3)/(x-1)^3 ogf] A144391 25.2666 [-(-13-6*x+x^2)/(x-1)/(x^2-4*x-3) lgdogf] A144391 7.04215 [(1377*f(x)-8047)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+4*x+3) ogf] A144391 7.22747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=13,a(2)=29} ogf] A144396 10.4254 [(4*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)+x-3) ogf] A144396 10.9340 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=5} ogf] A144396 19.9241 [-(x-3)/(x-1)^2 ogf] A144396 26.6614 [-1/2*(-3-2*x+(9+8*x)^(1/2))/(1+x) revogf] A144396 48.8792 [-(x-5)/(x-1)/(x-3) lgdogf] A144408 6.06609 [-x*(6*x^7-5*x^6+8*x^5+6*x^4-8*x^3+4*x^2+4*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A144410 18.4816 [-8*(x^2+7*x+1)/(x-1)^3 ogf] A144410 35.3142 [-(10+16*x+x^2)/(x-1)/(x^2+7*x+1) lgdogf] A144410 9.96400 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=80,a(2)=224} ogf] A144410 9.96401 [(11*f(x)-400)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+56*x+8) ogf] A144412 22.7379 [(-1-4*x+16*x^3)/(x-1)/(4*x^3+4*x^2+2*x+1) lgdogf] A144412 5.86392 [{a(n+5),a(0)=2,a(1)=2,a(2)=4,a(3)=0,a(4)=-8} ogf] A144412 7.22367 [-(f(x)-5)*(8*x^4-4*x^2+f(x)-2*x-2) ogf] A144413 12.2097 [-(-1-4*x+4*x^3-x^2)/(2*x+1)/(x^3-2*x^2-3*x-1) lgdogf] A144413 4.57866 [{-a(n+3)-3*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=-1} ogf] A144413 8.23008 [-(f(x)-1)*(f(x)*x^3-2*f(x)*x^2-3*f(x)*x+2*x^2-f(x)+x) ogf] A144413 8.91633 [-x*(2*x+1)/(x^3-2*x^2-3*x-1) ogf] A144414 11.8320 [-(2*x+1)/(4*x-1)/(x-1)^2 ogf] A144414 15.3639 [-2*(-4+5*x+8*x^2)/(x-1)/(2*x+1)/(-1+4*x) lgdogf] A144414 5.54954 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=8,a(2)=39} ogf] A144414 5.5991 [(119817*f(x)-93376)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+2*x+1) ogf] A144429 10.1537 [(-2-4*x-2*x^6-13*x^4-8*x^3-6*x^2-3*x^5+2*x^7)/(x-1)/(x+1)/(x^2+x+1)/(2*x^4-x^3+x^2+1) lgdogf] A144429 11.4263 [(x+1)*(2*x^4-x^3+x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A144430 10.2523 [(-3-5*x-2*x^6-12*x^4-7*x^3-7*x^2-2*x^5+2*x^7)/(x-1)/(x^2+x+1)/(2*x^5+x^4-x^3+x^2+x+2) lgdogf] A144430 10.4495 [(2*x^5+x^4-x^3+x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A144433 15.6723 [-(x^3-3*x-8)/(x-1)^2/(x+1)^2 ogf] A144433 19.4805 [-(-3-32*x+x^4-6*x^2)/(x-1)/(x+1)/(-8+x^3-3*x) lgdogf] A144433 7.63521 [{(-n-5)*a(n+1)+(n+3)*a(n+3),a(0)=8,a(1)=3,a(2)=16} ogf] A144433 9.20947 [(144*f(x)+575)*(f(x)*x^4-2*f(x)*x^2+x^3+f(x)-3*x-8) ogf] A144437 10.2567 [{a(n+3)-a(n),a(0)=3,a(1)=3,a(2)=1} ogf] A144437 11.7608 [-(3+2*x+x^4+6*x^3+9*x^2)/(x-1)/(x^2+x+1)/(x^2+3*x+3) lgdogf] A144437 15.9084 [-(x^2+3*x+3)/(x-1)/(x^2+x+1) ogf] A144437 9.99373 [(15*f(x)-101)*(f(x)*x^3+x^2-f(x)+3*x+3) ogf] A144449 12.9403 [8*(x^2-8*x-2)/(x-1)^3 ogf] A144449 24.2572 [-(-14-14*x+x^2)/(x-1)/(x^2-8*x-2) lgdogf] A144449 6.85078 [(255*f(x)-33284)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+64*x+16) ogf] A144449 6.96788 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=112,a(2)=280} ogf] A144459 13.9771 [-(8*x^2+21*x+1)/(x-1)^3 ogf] A144459 21.8319 [-2*(12+29*x+4*x^2)/(x-1)/(8*x^2+21*x+1) lgdogf] A144459 6.93264 [(6288300*f(x)-78143633)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+21*x+1) ogf] A144459 7.60158 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=24,a(2)=77} ogf] A144465 3.51291 [(600814816032928*x^18-343322752018816*x^17+225*x^2-135*x+45)/(1974105824108192*x^18-343322752018816*x^17+450*x^2-315*x+45) ogf] A144465 5.86233 [(-1+9*f(x))*(10*f(x)*x^2-7*f(x)*x-5*x^2+f(x)+3*x-1) ogf] A144468 8.27848 [-x*(3*x^8+6*x^7+9*x^6+2*x^5+5*x^4+8*x^3+x^2+4*x+7)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A144471 11.0976 [(9*x^3+7*x^2+6*x+1)/(x^2+x+1)/(2*x+1) ogf] A144471 12.2378 [(3+8*x+13*x^4+30*x^3+24*x^2)/(2*x+1)/(x^2+x+1)/(9*x^3+7*x^2+6*x+1) lgdogf] A144471 5.75741 [{-a(n+4)-3*a(n+3)-3*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=-5,a(3)=13} ogf] A144471 6.17528 [(831*f(x)-1475)*(2*f(x)*x^3+3*f(x)*x^2-9*x^3+3*f(x)*x-7*x^2+f(x)-6*x-1) ogf] A144472 14.4478 [-(9*x^2+3*x-1)/(x+1)/(2*x-1) ogf] A144472 17.1647 [(-2-14*x+3*x^2)/(-1+2*x)/(x+1)/(9*x^2+3*x-1) lgdogf] A144472 7.50722 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=-1,a(1)=2,a(2)=9} ogf] A144472 7.89418 [-(4*f(x)+5)*(2*f(x)*x^2+f(x)*x+9*x^2-f(x)+3*x-1) ogf] A144476 4.25610 [-(2*x^7-3*x^6+3*x^5+3*x^4-3*x^3+x^2-x-1)/(x^8-x^4+1) ogf] A144478 4.50369 [-(8*x^8+3*x^7+4*x^6+2*x^5+6*x^4+7*x^3+5*x^2+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A144479 14.3795 [-1/2*(-1-8*x+(1-4*x+60*x^2)^(1/2))/(5+x) revogf] A144479 16.1421 [-(5*x-1)/(x^2-8*x+1) ogf] A144479 16.9171 [-(3-2*x+5*x^2)/(5*x-1)/(x^2-8*x+1) lgdogf] A144479 7.98236 [-(22*f(x)-13)*(f(x)*x^2-8*f(x)*x+f(x)+5*x-1) ogf] A144479 8.85846 [{a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=3} ogf] A144483 4.64599 [-(3*x^8+3*x^7+5*x^6+6*x^4+5*x^3+6*x^2+5)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A144485 10.0502 [2*hypergeom([4/3,5/3],[3/2],27/4*x) ogf] A144485 4.86806 [{(27*n^2+135*n+168)*a(n+1)+(-4*n^2-18*n-20)*a(n+2),a(0)=2,a(1)=20} ogf] A144485 4.94534 [-19683*x^4*f(x)^3+8748*x^3*f(x)^3-1296*f(x)^3*x^2+64*f(x)^3*x-216*f(x)*x-4*f(x)+8 ogf] A144495 3.12535 [{(n^2+5*n+6)*a(n+1)+(n^2+8*n+15)*a(n+2)+(-2*n^2-21*n-52)*a(n+3)+(2*n+8)*a(n+4),a(0)=2,a(1)=7,a(2)=30,a(3)=155} ogf] A144495 30.1805 [(7-5*x+x^2)/(x-1)/(x-2) lgdegf] A144496 18.8416 [(-37+30*x+x^3-9*x^2)/(x-1)/(7-5*x+x^2) lgdegf] A144497 12.7768 [(266-229*x+x^4-14*x^3+81*x^2)/(x-1)/(-37+30*x+x^3-9*x^2) lgdegf] A144497 4.15587 [{(n+2)*a(n+1)-a(n+2)+(-n-10)*a(n+3)+a(n+4),a(0)=37,a(1)=266,a(2)=2165,a(3)=19714} ogf] A144498 10.7757 [(-4*x^2-8*x+2+(-(2*x+3)^2*(-1+2*x)^3)^(1/2))/(4*x^2+2*x-1)/(-1+2*x) lgdegf] A144498 3.35139 [{(-3-n)*a(n+1)+(-2*n^2-12*n-21)*a(n+2)+(-2*n^2-16*n-35)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=5,a(2)=30,a(3)=229} ogf] A144503 3.41615 [{(n+2)*a(n+1)+(2*n^2+7*n+7)*a(n+2)+(-2*n^2-9*n-8)*a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=20} ogf] A144506 4.18065 [{(2*n^2-n)*a(n)+(4*n^3-12*n^2+17*n-9)*a(n+1)+(-2*n^2+7*n-6)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A144507 3.72243 [{(n^2-n)*a(n)+(2*n^3-9*n^2+17*n-12)*a(n+1)+(-n^2+5*n-6)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A144513 3.22297 [{(-4-n)*a(n+1)+(-2*n^2-14*n-29)*a(n+2)+(-2*n^2-18*n-45)*a(n+3)+(n+4)*a(n+4),a(0)=2,a(1)=18,a(2)=162,a(3)=1670} ogf] A144514 3.08392 [{(-5-n)*a(n+1)+(-2*n^2-16*n-38)*a(n+2)+(-2*n^2-20*n-56)*a(n+3)+(n+4)*a(n+4),a(0)=6,a(1)=84,a(2)=1050,a(3)=13980} ogf] A144516 18.5025 [-7*(5+20*x+2*x^2)/(x-1)/(2*x^2+17*x+2) lgdogf] A144516 3.49635 [{(993*n^2+7145*n+7122)*a(n+1)+(8658*n^2+96086*n+147490)*a(n+2)+(-9651*n^2-18079*n-8428)*a(n+3),a(0)=0,a(1)=0,a(2)=10} ogf] A144516 5.54499 [-5*x^2*(2*x^2+17*x+2)/(x-1)^9 ogf] A144532 10.1879 [{a(n+4)-a(n+2),a(0)=0,a(1)=1,a(2)=16,a(3)=2} ogf] A144532 10.5165 [-(15811*f(x)+256032)*(f(x)*x^2+x^3+16*x^2-f(x)+x) ogf] A144532 18.1117 [-x*(x^2+16*x+1)/(x-1)/(x+1) ogf] A144532 24.7343 [-4*(4+x+4*x^2)/(x-1)/(x+1)/(x^2+16*x+1) lgdogf] A144533 10.1872 [-2*(8+33*x-24*x^4-2*x^3+272*x^2+x^5)/(x^2+6*x+1)/(x^2-6*x+1)/(x^2-16*x-1) lgdogf] A144533 11.9555 [-x*(x^2-16*x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A144533 6.78557 [-(35872*f(x)+16129)*(f(x)*x^4-34*f(x)*x^2+x^3-16*x^2+f(x)-x) ogf] A144534 11.3366 [(x^3-17*x^2+x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A144534 6.90504 [(20178*f(x)-9271)*(f(x)*x^4-34*f(x)*x^2-x^3+17*x^2+f(x)-x-1) ogf] A144534 9.10783 [-(-1-34*x+x^6+37*x^4+4*x^3-37*x^2-34*x^5)/(x^2-6*x+1)/(x^2+6*x+1)/(x^3-17*x^2+x+1) lgdogf] A144535 10.7821 [-2*(3+13*x-9*x^4-2*x^3+42*x^2+x^5)/(x^2+4*x+1)/(x^2-4*x+1)/(x^2-6*x-1) lgdogf] A144535 12.3328 [-x*(x^2-6*x-1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A144535 7.14611 [-(2172*f(x)+829)*(f(x)*x^4-14*f(x)*x^2+x^3-6*x^2+f(x)-x) ogf] A144536 11.6853 [(x^3-7*x^2+x+1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A144536 7.20772 [(1448*f(x)-561)*(f(x)*x^4-14*f(x)*x^2-x^3+7*x^2+f(x)-x-1) ogf] A144536 9.35856 [-(-1-14*x+x^6+17*x^4+4*x^3-17*x^2-14*x^5)/(x^2-4*x+1)/(x^2+4*x+1)/(x^3-7*x^2+x+1) lgdogf] A144537 5.75181 [(x^5-178*x^4+4449*x^3-5995*x^2+574*x-3)/(x-1)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A144555 14.0248 [-14*(x+1)*x/(x-1)^3 ogf] A144555 39.1565 [[4-x] ogf_with_Euler_transform] A144555 40.8090 [-2*(x+2)/(x-1)/(x+1) lgdogf] A144555 7.32269 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=56} ogf] A144555 7.59141 [(2*f(x)+7)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+14*x) ogf] A144558 9.85455 [-(-x^7-x^6+2*x^5-x^4-2*x^3-x^2+2*x-1)/(-x^8+1) ogf_with_Euler_transform] A144558 99.9999 Evaluated at exp(-Pi) 2*exp(-1/8*Pi)*2^(11/16)/GAMMA(5/8)*Pi^(1/4)*GAMMA(7/8)*(2-2^(1/2))^(1/2)/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2) A144560 12.0225 [-10*x*(3*x+1)/(x-1)^3 ogf] A144560 31.7462 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A144560 6.01127 [-(536*f(x)-6825)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+30*x^2-f(x)+10*x) ogf] A144560 6.27726 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=60} ogf] A144564 3.03924 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=101,a(2)=10101,a(3)=1011101} ogf] A144564 3.83592 [(9801*f(x)+12521)*(100*f(x)*x^2-1000*x^3-101*f(x)*x+f(x)-1) ogf] A144564 7.05538 [(100*x^2-10*x+1)*(10*x+1)/(100*x-1)/(x-1) ogf] A144575 21.0609 [-1-9*x^2-6*x+(1-2*x-3*x^2)*f(x)^2 lgdegf] A144576 21.5148 [1+16*x^2+8*x+(4*x^2-1+2*x)*f(x)^2 lgdegf] A144595 10.1415 [-x^2*(x^8+x^6+x^3+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A144596 12.4422 [-x^4*(x^4+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A144596 17.3692 [-x^3*(4+9*x^5+5*x^9)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(1+x^4) lgdogf] A144596 18.4368 [x^8-x^7+x^3 ogf_with_Euler_transform] A144597 10.2387 [-x^2*(3+6*x^3+10*x^7+7*x^10+4*x^13)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^6+x^3+1) lgdogf] A144597 11.1534 [-x^3*(x^6+x^3+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A144597 19.5627 [x^9-x^8+x^2 ogf_with_Euler_transform] A144598 7.31337 [-x*(2+5*x^3+7*x^5+9*x^7+12*x^10+10*x^12+7*x^15+5*x^17+3*x^19)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^9+x^7+x^5+x^2+1) lgdogf] A144598 9.36997 [-x^2*(x^9+x^7+x^5+x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A144599 23.3718 [x^12-x^11+x ogf_with_Euler_transform] A144599 8.64307 [-x^2*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A144600 11.3155 [-x^6*(x^2+1)*(x^4-x^2+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A144600 9.63047 [-x^5*(6+13*x^7+7*x^13)/(x-1)/(x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1) lgdogf] A144601 10.2545 [-x^4*(x^9+x^5+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A144601 8.76286 [-x^4*(5+9*x^4+14*x^9+9*x^14+5*x^18)/(x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^9+x^5+1) lgdogf] A144602 7.59904 [-x^3*(4+8*x^4+11*x^7+15*x^11+11*x^15+7*x^19+4*x^22)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x^11+x^8+x^4+1) lgdogf] A144602 9.30793 [-x^3*(x^11+x^8+x^4+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A144603 17.1109 [x^2+x^14*(x-1) ogf_with_Euler_transform] A144603 8.57308 [-x^3*(x^4+x^3+x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A144604 7.93911 [-x^2*(x^2+1)*(x^12+x^7-x^5+x^4+x^3-x^2+1)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A144605 7.32751 [-x^2*(x^15+x^13+x^10+x^8+x^5+x^3+1)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A144606 6.93531 [-x^2*(x^16+x^14+x^12+x^9+x^7+x^5+x^2+1)/(x-1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A144607 6.49877 [-x^2*(x^17+x^15+x^13+x^11+x^9+x^6+x^4+x^2+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A144608 23.6714 [x^20-x^19+x ogf_with_Euler_transform] A144615 20.0168 [-(-4*x-2)/(x^2+x+1) ogf_with_Euler_transform] A144616 12.2026 [(f(x)*x-f(x)+1)^2 ogf] A144619 18.0389 [(11*x+8)/(x-1)^2 ogf] A144619 9.32349 [(38*f(x)+425)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-8) ogf] A144619 9.46406 [(27+11*x-420*x^13-1260*x^15+420*x^16+1260*x^14)/(x-1)/(30*x^16-60*x^15+30*x^14-11*x-8) lgdogf] A144619 9.99748 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=27} ogf] A144635 27.7785 [-(-7+30*x)/(5*x-1)/(-1+4*x) lgdogf] A144635 4.95281 [{(-n-3)*a(n+3)+(25+9*n)*a(n+2)+(-50-20*n)*a(n+1),a(0)=1,a(1)=7,a(2)=41} ogf] A144635 8.97333 [100*f(x)^2*x^3-65*f(x)^2*x^2+14*f(x)^2*x-f(x)^2+1 ogf] A144636 10.9842 [6*x-6*f(x)-3*f(x)^2-f(x)^3 egf] A144636 33.8479 [1/6*x*(6+3*x+x^2) revegf] A144637 4.19899 [{(-54*n^3+9*n^2+33*n-10)*a(n)+(-72*n^2-24*n+21)*a(n+1)+(-30*n+5)*a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A144637 9.57371 [-2*f(x)^3-3*f(x)^2-18*f(x)*x+9*x^2-18*f(x) egf] A144638 4.60144 [{(-9*n^2-18*n-5)*a(n+1)+(-12*n-18)*a(n+2)-5*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A144638 6.38398 [-2*f(x)^3+6*f(x)^2*x-6*f(x)*x^2+2*x^3+9*f(x)^2-18*f(x)*x-12*f(x) egf] A144639 5.89257 [3*x^4-32*f(x)^3-96*f(x)^2*x-84*f(x)*x^2-84*f(x)^2-144*f(x)*x-72*f(x) egf] A144640 11.6251 [-(2*x+1)*(x-3)/(x-1)^4 ogf] A144640 21.2778 [-(-17-11*x+4*x^2)/(x-1)/(2*x+1)/(x-3) lgdogf] A144640 3.95138 [{(-3*n-12)*a(n+4)+(11-2*n)*a(n+3)+(25+7*n)*a(n+2)+(-2*n-6)*a(n+1),a(0)=3,a(1)=17,a(2)=48,a(3)=102} ogf] A144640 5.64881 [(5232384*f(x)+46527791)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-5*x-3) ogf] A144647 3.37210 [{-a(n+1)+(-2*n-2)*a(n+2)+(2*n+10)*a(n+3)-a(n+4),a(0)=1,a(1)=4,a(2)=25,a(3)=199} ogf] A144656 3.24758 [{(n+2)*a(n+1)+(-n^3-4*n^2-6*n-3)*a(n+2)+(-n^3-5*n^2-9*n-6)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=1,a(2)=0,a(3)=1} ogf] A144659 4.00516 [{(n^2+7*n+12)*a(n+1)+(2*n^3+15*n^2+41*n+40)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A144677 10.8343 [1/(x^2+x+1)^2/(x-1)^4 ogf] A144677 14.8555 [36+144*x^2+36*x+(-16+18*x^3+8*x^2+2*x)*f(x)+(x^3-1)*f(x)^2 lgdogf] A144677 34.9386 [[2*x^2+2] ogf_with_Euler_transform] A144677 5.35107 [{(-n-4)*a(n+4)+2*a(n+3)+2*a(n+2)+(9+n)*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=6} ogf] A144678 10.5070 [1/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A144678 19.6639 [-a(n+4)+a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=10 lgdogf] A144678 34.3052 [[2*x^3+2] ogf_with_Euler_transform] A144679 10.6345 [1/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A144679 19.0664 [-2*(1+x+x^2+x^3+6*x^4)/(x-1)/(x^4+x^3+x^2+x+1) lgdogf] A144679 35.5788 [[2*x^4+2] ogf_with_Euler_transform] A144689 6.75786 [-(2*x^19+x^18+x^15-2*x^14-x^13+5*x^9-3*x^8+2*x^7-3*x^3-x^2+5*x+1)/(x-1)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1) ogf] A144700 8.24485 [-f(x)^2*x^4+f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A144701 5.28968 [-(x-1)*(x+1)*(x^2-5*x+1)/(x^2+x+1)^4 ogf] A144701 9.78612 [-(-9+7*x+50*x^2-9*x^3-25*x^4+4*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-5*x+1) lgdogf] A144704 10.7719 [-(12*x-1)/(4*x-1)^2 ogf] A144704 15.3115 [-1/8*(-1-8*x+(1-32*x)^(1/2))/(3+4*x) revogf] A144704 5.5635 [-(8*f(x)-7)*(16*f(x)*x^2-8*f(x)*x+f(x)+12*x-1) ogf] A144704 6.09973 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=1,a(1)=-4} ogf] A144706 12.9051 [-6*(3+2*(-4*x+1)^(1/2))/(16*x+5)/(4*x-1) lgdogf] A144706 5.50592 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=6} ogf] A144706 6.69074 [-4*f(x)^2*x+f(x)^2-16*f(x)*x+4*f(x)-16*x-5 ogf] A144707 5.53216 [(47*f(x)-116)*(f(x)*x^4+f(x)*x^3-2*x^4-2*f(x)*x^2-4*x^3-f(x)*x+x^2+f(x)-1) ogf] A144707 8.01025 [-(-1-2*x+2*x^6-10*x^2+4*x^3+13*x^4+6*x^5)/(x-1)/(x+1)/(x^2+x-1)/(2*x^4+4*x^3-x^2+1) lgdogf] A144707 9.83496 [(2*x^4+4*x^3-x^2+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A144708 11.8391 [-(30*x-1)/(6*x-1)^2 ogf] A144708 15.6282 [-1/12*(-12*x-1+(-96*x+1)^(1/2))/(5+6*x) revogf] A144708 21.0172 [-18*(1+10*x)/(30*x-1)/(6*x-1) lgdogf] A144708 6.0455 [-(40*f(x)+41)*(36*f(x)*x^2-12*f(x)*x+f(x)+30*x-1) ogf] A144708 6.68561 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=1,a(1)=-18} ogf] A144720 13.7716 [-(5*x-2)/(x^2-4*x+1) ogf] A144720 17.3431 [-(3-4*x+5*x^2)/(-2+5*x)/(x^2-4*x+1) lgdogf] A144720 18.3942 [-(-1-2*x+(1-x+3*x^2)^(1/2))/(5+x) revogf] A144720 6.96315 [-(8*f(x)-7)*(f(x)*x^2-4*f(x)*x+f(x)+5*x-2) ogf] A144720 7.55756 [{a(n+2)-4*a(n+1)+a(n),a(0)=2,a(1)=3} ogf] A144721 16.6525 [-(3*x-2)/(x^2-4*x+1) ogf] A144721 18.2271 [-(5-4*x+3*x^2)/(3*x-2)/(x^2-4*x+1) lgdogf] A144721 18.7794 [-(-1-2*x+(1+x+3*x^2)^(1/2))/(3+x) revogf] A144721 8.32625 [-(16*f(x)-7)*(f(x)*x^2-4*f(x)*x+f(x)+3*x-2) ogf] A144721 9.13857 [{a(n+2)-4*a(n+1)+a(n),a(0)=2,a(1)=5} ogf] A144739 12.4767 [-1/7*(1-4*x)^(3/4)+4/7*(1-4*x)^(3/4)*x+1/7 revegf] A144739 34.9346 [-3+(1-7*x)*f(x) lgdegf] A144739 6.01247 [{(-7*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A144750 7.81901 [-(8*x^7+4*x^6-3*x^5-8*x^4-7*x^3+6*x^2+8*x+1)/(x-1)/(x+1)/(x^6-x^3+1) ogf] A144751 5.22552 [-(4*x^11-12*x^10-8*x^9-24*x^8-56*x^7-72*x^6-43*x^5-39*x^4-19*x^3-15*x^2-7*x-3)/(x-1)/(x+1)/(2*x^3-1)/(2*x^3+1)/(x^2+x+1)/(x^2-x+1) ogf] A144756 11.6654 [9+(-6+48*x)*f(x)+(64*x^2+1-16*x)*f(x)^2 lgdegf] A144756 5.26397 [{(-8*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A144758 11.2191 [-1/9*(1-6*x)^(1/2)+2/3*(1-6*x)^(1/2)*x+1/9 revegf] A144758 14.7327 [-9*f(x)^3*x+f(x)^3-1 egf] A144758 47.1201 [-3/(9*x-1) lgdegf] A144758 5.41610 [{(-9*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A144772 10.7032 [-1/9*(1-8*x)^(1/8)+8/9*(1-8*x)^(1/8)*x+1/9 revegf] A144772 29.9691 [-1+(1-9*x)*f(x) lgdegf] A144772 5.17267 [{(-9*n-10)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A144773 10.0499 [-1/10*(1-9*x)^(1/9)+9/10*(1-9*x)^(1/9)*x+1/10 revegf] A144773 28.2653 [-1+(1-10*x)*f(x) lgdegf] A144773 5.14530 [{(-10*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A144796 3.91163 [-(107765045848*f(x)-95288396093)*(f(x)*x^4-1154*f(x)*x^2+23*x^3+1253*x^2+f(x)-215*x-5) ogf] A144796 7.13608 [-(23*x^3+1253*x^2-215*x-5)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A144797 11.8257 [2*(x+1)*(x^2+x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A144797 7.25161 [(2380*f(x)-751)*(f(x)*x^4-6*f(x)*x^2-2*x^3-4*x^2+f(x)-4*x-2) ogf] A144827 11.4415 [16+(-8+56*x)*f(x)+(49*x^2+1-14*x)*f(x)^2 lgdegf] A144827 5.26397 [{(-7*n-11)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A144828 16.6357 [-8*f(x)^2*x+f(x)^2-1 egf] A144828 49.4025 [-4/(-1+8*x) lgdegf] A144828 49.4025 [-x*(-1+2*x) revegf] A144828 6.23054 [{(-8*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A144829 10.0944 [16+(-8+72*x)*f(x)+(81*x^2+1-18*x)*f(x)^2 lgdegf] A144829 7.57645 [{(-9*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A144843 4.32844 [{a(n+3)-52*a(n+2)+624*a(n+1)-1728*a(n),a(0)=1,a(1)=64,a(2)=2704} ogf] A144843 5.8317 [(703408*f(x)-212211)*(1728*f(x)*x^3-624*f(x)*x^2+52*f(x)*x-f(x)+12*x+1) ogf] A144843 7.95750 [-32*(2-39*x-72*x^2+1296*x^3)/(-1+36*x)/(12*x+1)/(12*x-1)/(-1+4*x) lgdogf] A144843 8.80117 [-(12*x+1)/(36*x-1)/(12*x-1)/(4*x-1) ogf] A144844 11.1197 [-x*(2*x+1)/(2*x-1)/(4*x^2-12*x+1) ogf] A144844 12.2090 [-8*(2-7*x+4*x^3-4*x^2)/(2*x+1)/(2*x-1)/(4*x^2-12*x+1) lgdogf] A144844 5.75496 [{a(n+3)-14*a(n+2)+28*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A144844 5.96423 [(16*f(x)+1)*(8*f(x)*x^3-28*f(x)*x^2+14*f(x)*x+2*x^2-f(x)+x) ogf] A144855 7.69485 [1778*x^6 lgdogf] A144863 3.32607 [(101000101*f(x)+1030100)*(10000*f(x)*x^2-10001*f(x)*x+f(x)-100*x-1) ogf] A144863 6.55097 [-(1000*x+111)*(1000*x-91)/(-1+x)/(100*x+1)/(10000*x-1) lgdogf] A144864 16.5721 [-1/8*(-1-17*x+((5*x+1)*(45*x+1))^(1/2))/(4*x-1) revogf] A144864 16.8271 [(4*x+1)/(16*x-1)/(x-1) ogf] A144864 19.4722 [-(8*x+7)*(8*x-3)/(x-1)/(4*x+1)/(-1+16*x) lgdogf] A144864 8.69092 [(325*f(x)+116)*(16*f(x)*x^2-17*f(x)*x+f(x)-4*x-1) ogf] A144864 9.30439 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=1,a(1)=21} ogf] A144874 18.7277 [-(x^2+x-2)/(x+1) ogf_with_Euler_transform] A144897 12.1333 [-(4-12*x+15*x^2-16*x^3+15*x^4)/(-6*x^2-1+4*x-4*x^4+5*x^3+3*x^5) lgdogf] A144897 12.7060 [-x/(3*x^5-4*x^4+5*x^3-6*x^2+4*x-1) ogf] A144898 10.5920 [-x/(x^3+x-1)/(x-1)^4 ogf] A144898 21.1776 [-(-5+5*x+7*x^3-3*x^2)/(x-1)/(x^3+x-1) lgdogf] A144899 21.5011 [-(-6+6*x+8*x^3-3*x^2)/(x-1)/(x^3+x-1) lgdogf] A144899 9.37549 [x/(x^3+x-1)/(x-1)^5 ogf] A144900 21.7165 [-(-7+7*x+9*x^3-3*x^2)/(x-1)/(x^3+x-1) lgdogf] A144900 8.57026 [-x/(x^3+x-1)/(x-1)^6 ogf] A144901 20.0589 [-(-8+8*x+10*x^3-3*x^2)/(x-1)/(x^3+x-1) lgdogf] A144901 7.35932 [x/(x^3+x-1)/(x-1)^7 ogf] A144902 19.9736 [-(-9+9*x+11*x^3-3*x^2)/(x-1)/(x^3+x-1) lgdogf] A144902 6.46550 [-x/(x^3+x-1)/(x-1)^8 ogf] A144904 4.65172 [4*f(x)^2*x^4-9*f(x)^2*x^3+22*f(x)^2*x^2-8*f(x)*x^3-9*f(x)^2*x+6*f(x)*x^2+x^3+f(x)^2-f(x)*x ogf] A144905 3.49199 [{(n^3+n^2)*a(n)+(3*n^3+11*n^2+14*n+6)*a(n+1)+(2*n^3+15*n^2+36*n+30)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A144916 10.4417 [(3*x^4-5*x^3-7*x^2+5*x-4)/(x-1)^3 ogf] A144916 13.3678 [(7+4*x+3*x^4-12*x^3+22*x^2)/(x-1)/(3*x^4-5*x^3-7*x^2+5*x-4) lgdogf] A144916 5.86872 [-(491*f(x)-34922)*(f(x)*x^3-3*x^4-3*f(x)*x^2+5*x^3+3*f(x)*x+7*x^2-f(x)-5*x+4) ogf] A144917 13.9187 [(x+1)*(2*x^2+1)/(x-1)^2 ogf] A144917 19.8302 [(-3-5*x+2*x^3-6*x^2)/(x-1)/(x+1)/(2*x^2+1) lgdogf] A144917 7.38296 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=7,a(3)=13} ogf] A144917 7.86149 [-(204*f(x)-19)*(f(x)*x^2-2*x^3-2*f(x)*x-2*x^2+f(x)-x-1) ogf] A144927 4.22998 [-(62658537840*f(x)+3911456279)*(f(x)*x^3-111*f(x)*x^2+111*f(x)*x-14*x^2-f(x)+385*x+7) ogf] A144927 4.80990 [{-a(n+3)+111*a(n+2)-111*a(n+1)+a(n),a(0)=7,a(1)=1162,a(2)=128191} ogf] A144927 8.77100 [7*(2*x^2-55*x-1)/(x-1)/(x^2-110*x+1) ogf] A144928 12.5490 [-49*(x-1)/(x^2-110*x+1) ogf] A144928 5.86935 [-(-53441+98*x+48051*x^2)/(48051*x+49)/(x^2-110*x+1) lgdogf] A144928 6.149 [-(11988*f(x)-5243)*(f(x)*x^2-110*f(x)*x+f(x)+49*x-49) ogf] A144928 6.98751 [{a(n+2)-110*a(n+1)+a(n),a(0)=49,a(1)=5341} ogf] A144929 11.5525 [(2*x^2-55*x-1)/(x-1)/(x^2-110*x+1) ogf] A144929 5.44616 [-(438609764880*f(x)+3911456279)*(f(x)*x^3-111*f(x)*x^2+111*f(x)*x-2*x^2-f(x)+55*x+1) ogf] A144929 6.24969 [{-a(n+3)+111*a(n+2)-111*a(n+1)+a(n),a(0)=1,a(1)=166,a(2)=18313} ogf] A144930 14.0012 [-(x-1)/(x^2-110*x+1) ogf] A144930 6.78408 [-(11988*f(x)-107)*(f(x)*x^2-110*f(x)*x+f(x)+x-1) ogf] A144930 7.17092 [-(109-2*x+x^2)/(-1+x)/(x^2-110*x+1) lgdogf] A144930 7.65181 [{a(n+2)-110*a(n+1)+a(n),a(0)=1,a(1)=109} ogf] A144941 5.57184 [-(4*x^4+205*x^3-437*x^2+35*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A144942 6.54472 [x*(3*x^3+145*x^2-507*x-25)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A144945 12.4547 [2*x*(2*x+3)/(x-1)^4 ogf] A144945 31.9367 [-2*(7+3*x)/(2*x+3)/(-1+x) lgdogf] A144945 5.36131 [{(6+3*n)*a(n+3)+(-15-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=6,a(2)=28} ogf] A144945 6.04148 [(72625*f(x)+318613)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-6*x) ogf] A144965 18.2647 [-2*(17+26*x+5*x^2)/(x-1)/(5*x^2+14*x+5) lgdogf] A144965 3.54365 [{(15+5*n)*a(n+4)+(-16+9*n)*a(n+3)+(-61-9*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=20,a(2)=136,a(3)=444} ogf] A144965 5.05527 [(2580*f(x)+61487)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-20*x^3-4*f(x)*x-56*x^2+f(x)-20*x) ogf] A144965 9.51189 [4*x*(5*x^2+14*x+5)/(x-1)^4 ogf] A144969 6.97320 [-(127+4272*x+29172*x^2+58832*x^3+36972*x^4+5760*x^5)/(x-1)/(720*x^5+3708*x^4+4400*x^3+1452*x^2+114*x+1) lgdogf] A145011 10.0005 [-2*(x^7+3*x^6+2*x^5+x^4+2*x^3+x^2+2*x+3)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A145018 10.3615 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=5,a(2)=7} ogf] A145018 19.0244 [-(4*x^2-7*x+4)/(x-1)^3 ogf] A145018 33.6375 [-(5-6*x+4*x^2)/(x-1)/(4*x^2-7*x+4) lgdogf] A145018 7.51496 [(f(x)-15)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-7*x+4) ogf] A145020 3.11103 [{a(n+3)-154*a(n+2)+6468*a(n+1)-74088*a(n),a(0)=1,a(1)=196,a(2)=23716} ogf] A145020 3.2122 [(242186*f(x)-134307)*(74088*f(x)*x^3-6468*f(x)*x^2+154*f(x)*x-f(x)+42*x+1) ogf] A145020 5.66413 [-196*(1-66*x+31752*x^3-252*x^2)/(42*x+1)/(42*x-1)/(1764*x^2-112*x+1) lgdogf] A145020 6.27144 [-(42*x+1)/(42*x-1)/(1764*x^2-112*x+1) ogf] A145021 8.93864 [-(2*x^7+3*x^6+4*x^5+7*x^4+15*x^3+16*x^2+10*x+4)/(x-1)/(x+1) ogf] A145027 11.2920 [(x+1)*(x-2)/(x^3+x^2+x-1) ogf] A145027 13.2319 [-(-3-2*x+x^4-2*x^3-8*x^2)/(x-2)/(x+1)/(x^3+x^2+x-1) lgdogf] A145027 5.98967 [(252*f(x)-449)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+x+2) ogf] A145027 6.15011 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=4} ogf] A145028 10.0403 [-(-2-2*x+2*x^6-10*x^3-5*x^4+2*x^2)/(x-1)/(2*x^2+2*x+1)/(x^4+x^3+x^2+x-1) lgdogf] A145028 10.6813 [(x-1)*(2*x^2+2*x+1)/(x^4+x^3+x^2+x-1) ogf] A145028 5.45933 [(3230*f(x)-5803)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-2*x^3+f(x)*x-f(x)+x+1) ogf] A145029 7.72798 [-(-2-2*x+5*x^8+4*x^7-3*x^6-25*x^4-14*x^5+10*x^3+2*x^2)/(5*x^4+2*x^3-x-1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A145029 8.71219 [(5*x^4+2*x^3-x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A145030 7.04362 [-(-2-2*x+2*x^2+10*x^3-25*x^4-20*x^5-8*x^6+4*x^7+11*x^8+10*x^9)/(x^6+x^5+x^4+x^3+x^2+x-1)/(5*x^4+2*x^3-x-1) lgdogf] A145030 7.80711 [x*(5*x^4+2*x^3-x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A145051 16.0081 [-(x^3-3*x-1)/(x-1)^2/(x+1)^2 ogf] A145051 20.3465 [-(-3-4*x+x^4-6*x^2)/(x-1)/(x+1)/(-1+x^3-3*x) lgdogf] A145051 7.86606 [{(-n-5)*a(n+1)+(n+3)*a(n+3),a(0)=1,a(1)=3,a(2)=2} ogf] A145051 9.21679 [-(18*f(x)-55)*(f(x)*x^4-2*f(x)*x^2+x^3+f(x)-3*x-1) ogf] A145052 2.72783 [(5*f(x)+61)*(3*f(x)*x^4-3*f(x)*x^3+5*x^3-f(x)*x-4*x^2+f(x)-4*x-3) ogf] A145052 4.74404 [-(5*x^3-4*x^2-4*x-3)/(x-1)/(3*x^3-1) ogf] A145063 13.4523 [-(-1-6*x+x^6+x^4-x^2)/(1+x^2)/(x^2+x+1)/(x^3-x^2+2*x-1) lgdogf] A145063 8.80610 [-(x^2+x+1)*(x^3-x^2+2*x-1)/(x^2+1)^3 ogf] A145064 11.8792 [-(-1-11*x^4-8*x-15*x^2+x^7-3*x^5-5*x^3)/(x-1)/(x^2+x+1)/(x^5-x^3-4*x^2-x-2) lgdogf] A145064 12.4405 [-(x^5-x^3-4*x^2-x-2)/(x-1)^2/(x^2+x+1)^2 ogf] A145064 7.09499 [{(-n-6)*a(n+1)+(n+3)*a(n+4),a(0)=2,a(1)=1,a(2)=4,a(3)=5} ogf] A145066 11.0505 [(x^2-x+2)/(x-1)^4 ogf] A145066 26.6976 [-(7-x+2*x^2)/(x-1)/(x^2-x+2) lgdogf] A145066 3.83158 [{(2*n+8)*a(n+4)+(-16-3*n)*a(n+3)+(5+2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=2,a(1)=7,a(2)=17,a(3)=34} ogf] A145066 5.73297 [(672*f(x)+317)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+x-2) ogf] A145067 10.4592 [-x*(2*x^2-5*x+1)/(x-1)^4 ogf] A145067 21.0000 [-(-1-11*x+4*x^2)/(x-1)/(2*x^2-5*x+1) lgdogf] A145067 3.87576 [{(-3-n)*a(n+4)+(11+6*n)*a(n+3)+(-18-7*n)*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=-1,a(2)=1,a(3)=8} ogf] A145067 5.37693 [-(992*f(x)+4731)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-5*x^2+f(x)+x) ogf] A145068 10.6138 [x*(2*x^2-3*x+3)/(x-1)^4 ogf] A145068 22.4566 [-(9-5*x+4*x^2)/(x-1)/(2*x^2-3*x+3) lgdogf] A145068 3.91317 [{(9+3*n)*a(n+4)+(-21-6*n)*a(n+3)+(5*n+10)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=3,a(2)=9,a(3)=20} ogf] A145068 5.45639 [-(1312*f(x)+209)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+3*x^2+f(x)-3*x) ogf] A145069 10.6653 [x*(x^2-2*x+3)/(x-1)^4 ogf] A145069 23.9777 [-2*(5-2*x+x^2)/(x-1)/(x^2-2*x+3) lgdogf] A145069 3.93216 [{(9+3*n)*a(n+4)+(-20-5*n)*a(n+3)+(7+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=10,a(3)=23} ogf] A145069 5.76717 [(64*f(x)-19)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-3*x) ogf] A145070 12.6891 [-(-9+32*x-34*x^2+8*x^3)/(x-1)/(-1+2*x)/(2*x^2-6*x+3) lgdogf] A145070 4.95174 [-(831*f(x)+80)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+6*x-3) ogf] A145070 9.75997 [(2*x^2-6*x+3)/(2*x-1)/(x-1)^3 ogf] A145071 12.7064 [(4*x-3)/(2*x-1)/(x-1)^2 ogf] A145071 16.4958 [-2*(4-11*x+8*x^2)/(x-1)/(4*x-3)/(-1+2*x) lgdogf] A145071 5.95963 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=3,a(1)=8,a(2)=17} ogf] A145071 6.01283 [-(191*f(x)+2164)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)-4*x+3) ogf] A145091 20.2224 [2*x*(7+52*x^6+133*x^12)/(5+7*x^2+13*x^8+19*x^14) lgdogf] A145093 3.56340 [{(25920*n^3+8640*n^2-900*n)*a(n)+(-804*n^3-3714*n^2-5154*n-2244)*a(n+1)+(-2*n^3-9*n^2-13*n-6)*a(n+2),a(0)=1,a(1)=-720} ogf] A145112 11.7481 [-(x^5-x+1)/(x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A145112 12.2523 [-(-2+2*x+x^6+2*x^5+x^8+x^7+x^9)/(x-1)/(x^4+x^3+x^2+x-1)/(x^5-x+1) lgdogf] A145113 10.1559 [-(-2+2*x+x^7+x^8+x^9+x^11+3*x^6+x^10)/(x-1)/(x^5+x^4+x^3+x^2+x-1)/(x^6-x+1) lgdogf] A145113 11.2435 [-(x^6-x+1)/(x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A145114 11.3457 [-(x^7-x+1)/(x^6+x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A145114 9.04408 [-(-2+2*x+x^13+x^12+x^11+x^10+x^9+x^8+4*x^7)/(x-1)/(x^7-x+1)/(x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A145115 11.3968 [-(x^2-x+1)*(x^6+x^5-x^3-x^2+1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A145116 11.2844 [-(x^9-x+1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A145117 10.9709 [-(x^10-x+1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A145120 11.9190 [-(301-2*x+x^2)/(x-1)/(x^2-302*x+1) lgdogf] A145120 4.14836 [-(45450*f(x)-5681)*(f(x)*x^2-302*f(x)*x+f(x)+38*x-38) ogf] A145120 4.66109 [{a(n+2)-302*a(n+1)+a(n),a(0)=38,a(1)=11438} ogf] A145120 8.44261 [-(-19-151*x+(361+5700*x+22800*x^2)^(1/2))/(38+x) revogf] A145120 8.46606 [-38*(x-1)/(x^2-302*x+1) ogf] A145121 12.4727 [-361*(x-1)/(x^2-302*x+1) ogf] A145121 12.6242 [-(301-2*x+x^2)/(x-1)/(x^2-302*x+1) lgdogf] A145121 6.11642 [-(90900*f(x)-107939)*(f(x)*x^2-302*f(x)*x+f(x)+361*x-361) ogf] A145121 6.99020 [{a(n+2)-302*a(n+1)+a(n),a(0)=361,a(1)=108661} ogf] A145121 7.27498 [-1/2*(-361-302*x+(130321+216600*x+91200*x^2)^(1/2))/(361+x) revogf] A145122 3.30419 [{-a(n+3)+303*a(n+2)-303*a(n+1)+a(n),a(0)=38,a(1)=14383,a(2)=4346478} ogf] A145122 5.99474 [19*(3*x^2-151*x-2)/(x-1)/(x^2-302*x+1) ogf] A145123 13.1554 [-(301-2*x+x^2)/(x-1)/(x^2-302*x+1) lgdogf] A145123 4.71364 [-(90900*f(x)-299)*(f(x)*x^2-302*f(x)*x+f(x)+x-1) ogf] A145123 5.31655 [{a(n+2)-302*a(n+1)+a(n),a(0)=1,a(1)=301} ogf] A145123 9.51668 [-1/2*(-1-302*x+(1+600*x+91200*x^2)^(1/2))/(1+x) revogf] A145123 9.72815 [-(x-1)/(x^2-302*x+1) ogf] A145124 3.88256 [-(113412028707120*f(x)+747275565863)*(f(x)*x^3-303*f(x)*x^2+303*f(x)*x-3*x^2-f(x)+151*x+2) ogf] A145124 4.60857 [{-a(n+3)+303*a(n+2)-303*a(n+1)+a(n),a(0)=2,a(1)=757,a(2)=228762} ogf] A145124 8.46051 [(3*x^2-151*x-2)/(x-1)/(x^2-302*x+1) ogf] A145126 15.9972 [-(2+x^4+6*x^2-4*x^3)/(x-1)/(x^4-4*x^3+6*x^2-3*x+1) lgdogf] A145126 8.57697 [-(x^4-4*x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A145127 13.2740 [-(3-3*x-8*x^3+2*x^4+12*x^2)/(x-1)/(x^4-4*x^3+6*x^2-3*x+1) lgdogf] A145127 7.41509 [(x^4-4*x^3+6*x^2-3*x+1)/(x-1)^6 ogf] A145128 13.8211 [-(4-6*x+3*x^4-12*x^3+18*x^2)/(x-1)/(x^4-4*x^3+6*x^2-3*x+1) lgdogf] A145128 7.22184 [-(x^4-4*x^3+6*x^2-3*x+1)/(x-1)^7 ogf] A145129 13.6697 [-(5-9*x+4*x^4-16*x^3+24*x^2)/(x-1)/(x^4-4*x^3+6*x^2-3*x+1) lgdogf] A145129 6.61528 [(x^4-4*x^3+6*x^2-3*x+1)/(x-1)^8 ogf] A145130 4.55978 [-(x^8-8*x^7+28*x^6-56*x^5+71*x^4-60*x^3+34*x^2-11*x+2)/(x-1)^9 ogf] A145130 6.71698 [-(7-20*x+58*x^2-76*x^3+75*x^4-56*x^5+28*x^6-8*x^7+x^8)/(x-1)/(x^8-8*x^7+28*x^6-56*x^5+71*x^4-60*x^3+34*x^2-11*x+2) lgdogf] A145131 12.3056 [-x/(x^4+x-1)/(x-1)^2 ogf] A145131 21.3148 [-(-3+3*x+6*x^4-4*x^3)/(x-1)/(x^4+x-1) lgdogf] A145132 12.3152 [x/(x^4+x-1)/(x-1)^3 ogf] A145132 21.3357 [-(-4+4*x+7*x^4-4*x^3)/(x-1)/(x^4+x-1) lgdogf] A145133 20.1040 [-(-5+5*x+8*x^4-4*x^3)/(x-1)/(x^4+x-1) lgdogf] A145133 8.67451 [-x/(x^4+x-1)/(x-1)^4 ogf] A145134 21.6655 [-(-6+6*x-4*x^3+9*x^4)/(x-1)/(x^4+x-1) lgdogf] A145134 8.37585 [x/(x^4+x-1)/(x-1)^5 ogf] A145135 15.3846 [-(x+1)*(10*x^3-14*x^2+14*x-7)/(x-1)/(x^4+x-1) lgdogf] A145135 6.50740 [-x/(x^4+x-1)/(x-1)^6 ogf] A145136 20.6014 [-(-8+8*x+11*x^4-4*x^3)/(x-1)/(x^4+x-1) lgdogf] A145136 6.95992 [x/(x^4+x-1)/(x-1)^7 ogf] A145137 18.5255 [-(-9+9*x-4*x^3+12*x^4)/(x-1)/(x^4+x-1) lgdogf] A145137 5.62417 [-x/(x^4+x-1)/(x-1)^8 ogf] A145139 14.5372 [-(1-x+6*x^5+4*x^3-12*x^4)/(x-1)/(2*x-1)/(x^4+x-1) lgdogf] A145139 9.90279 [x*(x-1)^2/(2*x-1)/(x^4+x-1) ogf] A145204 14.4524 [-x^20+x^19+x^6-x^5-x^2+x+2 ogf_with_Euler_transform] A145210 4.65963 [-(1061290405908*f(x)-31935797)*(f(x)*x^2-1030190*f(x)*x+f(x)+31*x-31) ogf] A145216 20.6180 [-4*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A145216 5.47239 [(x^2+4*x+1)^2/(x-1)^8 ogf] A145217 13.1855 [-4*(8+33*x+x^3+18*x^2)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A145217 3.67693 [(x+1)^2*(x^2+10*x+1)^2/(x-1)^10 ogf] A145218 11.1232 [-4*(16+131*x+x^4+41*x^3+171*x^2)/(-1+x)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A145219 14.2906 [-x^2*(x^3-6*x^2+11*x-8)/(-1+x)/(x^4-3*x^3+x^2+2*x-2) lgdegf] A145220 3.13136 [{(-n^3-7*n^2-12*n)*a(n)+(8*n^2+40*n+32)*a(n+1)+(n^3+8*n^2+8*n-8)*a(n+2)+(-n^2-3*n)*a(n+3),a(0)=1,a(1)=0,a(2)=0,a(3)=20} ogf] A145221 4.76708 [{(-n^2-5*n-6)*a(n+1)+(-n^2-3*n)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A145221 94.9442 [-x/(x-1) lgdegf] A145222 4.63507 [{(-n^2-7*n-12)*a(n+1)+(-n^2-4*n)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A145222 6.07784 [-x*(5+x^2-4*x)/(-1+x)/(x^2-3*x+3) lgdegf] A145223 10.3314 [-x*(-10*x^3+30-48*x+x^4+33*x^2)/(x-1)/(x-2)/(x^3-6*x^2+9*x-6) lgdegf] A145223 4.43497 [{(-n^2-9*n-20)*a(n+1)+(-n^2-5*n)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A145265 8.54030 [-2*(2-x+7*x^2+6*x^7+3*x^8-4*x^6+11*x^5-2*x^4+5*x^3)/(x-1)/(x^2+x+1)/(x^2-x+1)/(3*x^4+4*x^3-x^2+2*x+1) lgdogf] A145265 8.70375 [(3*x^4+4*x^3-x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A145266 7.58920 [-(3+9*x-3*x^2+x^11+3*x^10+4*x^9-14*x^7-4*x^8+4*x^6+28*x^5+2*x^4-21*x^3)/(x-1)/(x+1)/(x^6+x^5-x^3-x^2+x+2)/(x^4-x^2+1) lgdogf] A145266 7.73444 [(x^6+x^5-x^3-x^2+x+2)/(x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A145282 7.47154 [-(4*x^15-8*x^14+4*x^13+2*x^9-4*x^8+2*x^7+2*x^4-4*x^3+2*x^2+x-3)/(x-1)^2 ogf] A145284 6.17118 [-(x^15-2*x^14+2*x^13-x^12-x^10+x^9+x^8-3*x^6+2*x^5+2*x^4-3*x^3+2*x-4)/(x-1)^2 ogf] A145285 10.1511 [(8+3*x^7-15*x^8+7*x^9-15*x^5+15*x^6+5*x^4)/(x-1)/(x^9-x^8-x^7+2*x^6-x^5-x^2+2*x-5) lgdogf] A145285 9.12508 [-(x^9-x^8-x^7+2*x^6-x^5-x^2+2*x-5)/(x-1)^2 ogf] A145286 6.94372 [-(x^19-2*x^18+x^17+x^8-2*x^7+2*x^6-2*x^4+x^3-x^2+2*x-6)/(x-1)^2 ogf] A145287 10.0391 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=11} ogf] A145287 18.5166 [-(x-6)/(x-1)^2 ogf] A145287 30.2647 [-(-3-x+(9+5*x)^(1/2))/(1+x) revogf] A145287 40.8573 [-(-11+x)/(x-1)/(x-6) lgdogf] A145287 6.26126 [(5*f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-1) ogf] A145289 10.4356 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=7} ogf] A145289 19.0159 [-(x-4)/(x-1)^2 ogf] A145289 31.0867 [-(-2-x+(4+3*x)^(1/2))/(1+x) revogf] A145289 4.47556 [(3*f(x)+5)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-1) ogf] A145289 44.1758 [-(-7+x)/(x-1)/(x-4) lgdogf] A145301 14.5100 [-(6*x-1)/(30*x^2-12*x+1) ogf] A145301 15.9475 [-6*(1-10*x+30*x^2)/(6*x-1)/(30*x^2-12*x+1) lgdogf] A145301 7.33304 [-(19*f(x)+17)*(30*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A145301 8.11871 [{a(n+2)-12*a(n+1)+30*a(n),a(0)=1,a(1)=6} ogf] A145302 12.1536 [-(7*x-1)/(42*x^2-14*x+1) ogf] A145302 13.3201 [-7*(1-12*x+42*x^2)/(7*x-1)/(42*x^2-14*x+1) lgdogf] A145302 6.14216 [-(22*f(x)+27)*(42*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A145302 6.80025 [{a(n+2)-14*a(n+1)+42*a(n),a(0)=1,a(1)=7} ogf] A145303 11.3155 [-(8*x-1)/(56*x^2-16*x+1) ogf] A145303 12.3873 [-8*(1-14*x+56*x^2)/(8*x-1)/(56*x^2-16*x+1) lgdogf] A145303 5.71859 [-(25*f(x)+39)*(56*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A145303 6.33129 [{a(n+2)-16*a(n+1)+56*a(n),a(0)=1,a(1)=8} ogf] A145304 4.65295 [-(104105529450*f(x)-684904799)*(f(x)*x^2-456302*f(x)*x+f(x)+3002*x-3002) ogf] A145305 4.70834 [(208211971504*f(x)+88979475)*(f(x)*x^2-456302*f(x)*x+f(x)-195*x-195) ogf] A145308 4.49167 [-(208211058900*f(x)-8669681)*(f(x)*x^2-456302*f(x)*x+f(x)+19*x-19) ogf] A145318 5.02005 [-(295281450*f(x)-5272883)*(f(x)*x^2-24302*f(x)*x+f(x)+434*x-434) ogf] A145319 5.08762 [(590611504*f(x)+1093725)*(f(x)*x^2-24302*f(x)*x+f(x)-45*x-45) ogf] A145320 3.43626 [-(348764539446997200*f(x)-193066083682913273)*(f(x)*x^2-24302*f(x)*x+f(x)+6727*x-6727) ogf] A145322 10.2922 [-(24301-2*x+x^2)/(x-1)/(x^2-24302*x+1) lgdogf] A145322 4.86584 [-(590562900*f(x)-170093)*(f(x)*x^2-24302*f(x)*x+f(x)+7*x-7) ogf] A145322 6.86149 [-1/2*(-7-24302*x+(49+340200*x+590587200*x^2)^(1/2))/(7+x) revogf] A145331 3.44795 [-(645623375914297320*f(x)-23057977670642579)*(f(x)*x^2-33710*f(x)*x+f(x)+602*x-602) ogf] A145332 4.02134 [(1136397808*f(x)+1786789)*(f(x)*x^2-33710*f(x)*x+f(x)-53*x-53) ogf] A145333 3.50587 [-(1291246751828594640*f(x)-991493039837630897)*(f(x)*x^2-33710*f(x)*x+f(x)+12943*x-12943) ogf] A145335 4.94948 [-(1136330388*f(x)-235949)*(f(x)*x^2-33710*f(x)*x+f(x)+7*x-7) ogf] A145365 3.59961 [-(4*x^5-4*x^4-2*x^3+2*x+1)/(x-1)/(2*x^2-1)/(2*x^3-1) ogf] A145389 7.78218 [-x*(9*x^8+9*x^7+x^6+3*x^5+6*x^4+x^3+6*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A145404 5.65616 [-(x^5+12*x^4-46*x^3-4*x^2+41*x+8)/(x^6+12*x^5-47*x^4-8*x^3+47*x^2+12*x-1) ogf] A145405 4.28155 [-4*(2124*x^5-403*x^4-3941*x^3+2010*x^2-181*x-5)/(8496*x^6-3148*x^5-17644*x^4+10329*x^3-585*x^2-113*x+1) ogf] A145407 3.14724 [24*(2268414568*x^4+20934334*x^3+212212*x^2+30*x-5)/(6*x-1)/(140544*x^3+20544*x^2-344*x+1) ogf] A145409 3.10435 [(268073437419*f(x)-11324690269)*(f(x)*x^4+21*f(x)*x^3-62*f(x)*x^2+x^3-21*f(x)*x+21*x^2+f(x)-61*x-15) ogf] A145409 6.13389 [-(x^3+21*x^2-61*x-15)/(x^4+21*x^3-62*x^2-21*x+1) ogf] A145410 6.01003 [-10*(1048*x^3+3046*x^2-592*x-7)/(10480*x^4+31008*x^3-7160*x^2-264*x+1) ogf] A145411 2.9787 [-(15373292458481*f(x)-279005951890270)*(288*f(x)*x^3-516*f(x)*x^2-145*f(x)*x+12600*x^2+f(x)-3300*x-60) ogf] A145411 3.60216 [{a(n+3)-145*a(n+2)-516*a(n+1)+288*a(n),a(0)=60,a(1)=12000,a(2)=1758360} ogf] A145411 6.19571 [-60*(210*x^2-55*x-1)/(288*x^3-516*x^2-145*x+1) ogf] A145442 3.3177 [-(49*f(x)-495)*(1000*f(x)*x-99000*x^2-f(x)-9900*x+10) ogf] A145442 5.54327 [10*(1-1980*x+990000*x^2)/(1000*x-1)/(9900*x^2+990*x-1) lgdogf] A145448 11.1846 [-12*f(x)*x+f(x)-1 egf] A145448 21.3524 [-1/(12*x-1) egf] A145448 5.16212 [{(-12*n-24)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A145453 12.0172 [(-3-3*n)*a(3+n)+(4-n)*a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=1/2 lgdegf] A145454 10.1165 [-4*n*a(3+n)+(6-n)*a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1/6 lgdegf] A145455 9.57979 [(3+n)*a(n+1)+(4-n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1/24 lgdegf] A145456 8.51782 [(3+n)*a(n+1)+(n+6-n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1/120 lgdegf] A145457 8.37910 [(3+n)*a(n+1)+(2*n+8-n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=1/720 lgdegf] A145458 6.98272 [(3+n)*a(n+1)+(3*n+10-n^2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=1/5040 lgdegf] A145459 6.66902 [(-2-n)*a(n)+(-7-6*n+n^2)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=1/40320 lgdegf] A145461 6.12797 [-2/(-1+x) lgdogf] A145466 13.8366 [-(-x^3-x^2-x-1)/(x^5-1) ogf_with_Euler_transform] A145467 17.7819 [-(-2*x^3-2)/(-x^5+1) ogf_with_Euler_transform] A145468 18.2483 [-(2*x^2+2*x)/(x^5-1) ogf_with_Euler_transform] A145525 10.0527 [-182*(x-1)/(x^2-1454*x+1) ogf] A145525 11.4490 [-(1453-2*x+x^2)/(x-1)/(x^2-1454*x+1) lgdogf] A145525 4.88543 [-(1056330*f(x)-132041)*(f(x)*x^2-1454*f(x)*x+f(x)+182*x-182) ogf] A145525 5.68198 [{a(n+2)-1454*a(n+1)+a(n),a(0)=182,a(1)=264446} ogf] A145525 7.77667 [-(-91-727*x+(8281+132132*x+528528*x^2)^(1/2))/(182+x) revogf] A145526 10.4550 [-(-1455+2*x+x^2)/(x+1)/(x^2-1454*x+1) lgdogf] A145526 4.93966 [(2115568*f(x)+16027)*(f(x)*x^2-1454*f(x)*x+f(x)-11*x-11) ogf] A145526 5.48852 [{-a(n+2)+1454*a(n+1)-a(n),a(0)=11,a(1)=16005} ogf] A145526 6.78658 [-1/2*(-11-1454*x+(121+32032*x+2114112*x^2)^(1/2))/(-11+x) revogf] A145526 9.87934 [11*(x+1)/(x^2-1454*x+1) ogf] A145527 10.5241 [-8281*(x-1)/(x^2-1454*x+1) ogf] A145527 4.62033 [-(4463334389712*f(x)-50770380644711)*(f(x)*x^2-1454*f(x)*x+f(x)+8281*x-8281) ogf] A145527 5.98213 [{a(n+2)-1454*a(n+1)+a(n),a(0)=8281,a(1)=12032293} ogf] A145527 9.62026 [-(1453-2*x+x^2)/(-1+x)/(x^2-1454*x+1) lgdogf] A145529 11.9069 [-(x-1)/(x^2-1454*x+1) ogf] A145529 5.6587 [-(2112660*f(x)-1451)*(f(x)*x^2-1454*f(x)*x+f(x)+x-1) ogf] A145529 6.49465 [{a(n+2)-1454*a(n+1)+a(n),a(0)=1,a(1)=1453} ogf] A145529 7.08837 [-1/2*(-1-1454*x+(1+2904*x+2114112*x^2)^(1/2))/(1+x) revogf] A145529 9.77045 [-(1453-2*x+x^2)/(-1+x)/(x^2-1454*x+1) lgdogf] A145530 3.85645 [-(128761130978752272*f(x)+442415565609691)*(f(x)*x^3-1455*f(x)*x^2+1455*f(x)*x-6*x^2-f(x)+727*x+5) ogf] A145530 4.63979 [{-a(n+3)+1455*a(n+2)-1455*a(n+1)+a(n),a(0)=5,a(1)=8002,a(2)=11635629} ogf] A145530 8.60714 [(6*x^2-727*x-5)/(x-1)/(x^2-1454*x+1) ogf] A145542 13.5283 [-(x^2-3*x-1)/(x^4-8*x^2+1) ogf] A145542 7.63476 [-(866*f(x)+111)*(f(x)*x^4-8*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A145543 7.00762 [-(4330*f(x)+1047)*(f(x)*x^4-8*f(x)*x^2+x^3-x^2+f(x)-4*x-1) ogf] A145544 12.5536 [-12*f(x)*x^2+7*f(x)*x-f(x)+4*x ogf] A145544 19.8215 [4*x/(4*x-1)/(3*x-1) ogf] A145544 20.6545 [-1/24*(-4-7*x+(16+56*x+x^2)^(1/2))/x revogf] A145544 27.5393 [-(-7+24*x)/(-1+4*x)/(3*x-1) lgdogf] A145544 9.18559 [{a(n+2)-7*a(n+1)+12*a(n),a(0)=0,a(1)=4} ogf] A145561 10.6462 [-(5*(-1+4*x)^(5/4)+(-1)^(1/4)-4*(-1)^(1/4)*x)/(-1+4*x)^(9/4) lgdegf] A145562 4.29672 [{(-16*n^2-108*n-182)*a(n+1)+(8*n+31)*a(n+2)-a(n+3),a(0)=1,a(1)=15,a(2)=255} ogf] A145563 12.5689 [-6*f(x)*x^2+5*f(x)*x-f(x)+4*x ogf] A145563 20.0423 [4*x/(3*x-1)/(2*x-1) ogf] A145563 20.3243 [-1/12*(-4-5*x+(16+40*x+x^2)^(1/2))/x revogf] A145563 28.1414 [-(-5+12*x)/(3*x-1)/(2*x-1) lgdogf] A145563 9.15511 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=0,a(1)=4} ogf] A145568 31.4270 [x^10-x^9+1 ogf_with_Euler_transform] A145568 8.51130 [-x*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A145569 10.4784 [x*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A145569 32.0579 [x^6-x^5+2 ogf_with_Euler_transform] A145569 7.02004 [-(2+4*x+9*x^8+13*x^6+6*x^5+10*x^4+8*x^3+11*x^7+5*x^10+7*x^9+3*x^11+6*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A145593 10.1487 [-(11*x^2+x-1)/(x-1)/(2*x+1)/(x+1) ogf] A145593 10.7522 [-(3+20*x+22*x^4+4*x^3+17*x^2)/(x-1)/(2*x+1)/(x+1)/(11*x^2+x-1) lgdogf] A145593 5.11562 [-(1433*f(x)+20895)*(2*f(x)*x^3+f(x)*x^2-2*f(x)*x+11*x^2-f(x)+x-1) ogf] A145593 5.61805 [{-a(n+3)-2*a(n+2)+a(n+1)+2*a(n),a(0)=-1,a(1)=3,a(2)=4} ogf] A145600 3.35716 [{(16*n^3+128*n^2+340*n+300)*a(n+1)+(-n^3-10*n^2-32*n-32)*a(n+2),a(0)=1,a(1)=8} ogf] A145607 10.4062 [x*(x-4)/(x-1)/(x^2-8*x+1) ogf] A145607 12.1702 [-(-35+72*x+2*x^3-21*x^2)/(x-1)/(x-4)/(x^2-8*x+1) lgdogf] A145607 5.29603 [{-a(n+3)+9*a(n+2)-9*a(n+1)+a(n),a(0)=0,a(1)=4,a(2)=35} ogf] A145607 5.75879 [-f(x)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x-x^2-f(x)+4*x) ogf] A145608 10.4245 [f(x)*x^3-9*f(x)*x^2+9*f(x)*x-f(x)+3*x ogf] A145608 17.8374 [-3*x/(x-1)/(x^2-8*x+1) ogf] A145608 24.7900 [-3*(3-6*x+x^2)/(x-1)/(x^2-8*x+1) lgdogf] A145608 7.16683 [{a(n+3)-9*a(n+2)+9*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=27} ogf] A145641 5.17356 [(13335*f(x)+5296)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2-15*f(x)*x-40*x^2+f(x)+24*x-5) ogf] A145641 9.73445 [(40*x^2-24*x+5)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A145644 10.5853 [-(f(x)+499)*(f(x)*x^3+100*x^2-f(x)+10*x+1) ogf] A145644 11.2552 [{a(n+3)-a(n),a(0)=1,a(1)=10,a(2)=100} ogf] A145644 13.4189 [-(10+200*x+100*x^4+20*x^3+3*x^2)/(x-1)/(x^2+x+1)/(100*x^2+10*x+1) lgdogf] A145644 17.0993 [-(100*x^2+10*x+1)/(x-1)/(x^2+x+1) ogf] A145654 14.8141 [-2*x/(2*x-1)/(x-1)^2 ogf] A145654 26.2573 [-2*(3*x-2)/(-1+2*x)/(x-1) lgdogf] A145654 6.00572 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A145654 6.73368 [(2*f(x)+1)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+2*x) ogf] A145655 14.6259 [-4/(4*x-1)/(x-1)^2 ogf] A145655 23.4919 [-6*(2*x-1)/(-1+4*x)/(x-1) lgdogf] A145655 5.21445 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=4,a(1)=24,a(2)=108} ogf] A145655 5.71107 [(2579*f(x)-4160)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+4) ogf] A145678 10.8698 [21*(x^2-23*x-20)/(x-1)^3 ogf] A145678 20.1013 [-(-83-44*x+x^2)/(x-1)/(x^2-23*x-20) lgdogf] A145678 5.73926 [(4972*f(x)-3106005)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-21*x^2-f(x)+483*x+420) ogf] A145678 5.97840 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=420,a(1)=1743,a(2)=3948} ogf] A145683 18.5095 [-(f(x)-1)^3 ogf] A145685 8.41505 [(f(x)-1)^2*(-56896*x^5+f(x)-1) ogf] A145686 8.46369 [(f(x)-1)^2*(-28690*x^5+f(x)-1) ogf] A145687 15.2045 [-(f(x)-1)^3 ogf] A145693 12.2259 [-14*(x-1)/(x^2-110*x+1) ogf] A145693 6.11292 [-(5994*f(x)-749)*(f(x)*x^2-110*f(x)*x+f(x)+14*x-14) ogf] A145693 6.80758 [{a(n+2)-110*a(n+1)+a(n),a(0)=14,a(1)=1526} ogf] A145693 7.82881 [-(109-2*x+x^2)/(-1+x)/(x^2-110*x+1) lgdogf] A145694 12.3336 [5*(x+1)/(x^2-302*x+1) ogf] A145694 6.16679 [(91504*f(x)+1525)*(f(x)*x^2-302*f(x)*x+f(x)-5*x-5) ogf] A145694 6.66298 [{-a(n+2)+302*a(n+1)-a(n),a(0)=5,a(1)=1515} ogf] A145694 8.81563 [-(-303+2*x+x^2)/(x+1)/(x^2-302*x+1) lgdogf] A145695 10.3288 [-(589-2*x+x^2)/(-1+x)/(x^2-590*x+1) lgdogf] A145695 4.51369 [-(173754*f(x)-21719)*(f(x)*x^2-590*f(x)*x+f(x)+74*x-74) ogf] A145695 5.17300 [{a(n+2)-590*a(n+1)+a(n),a(0)=74,a(1)=43586} ogf] A145695 7.23013 [-(-37-295*x+(1369+21756*x+87024*x^2)^(1/2))/(74+x) revogf] A145695 9.39586 [-74*(x-1)/(x^2-590*x+1) ogf] A145696 11.3143 [7*(x+1)/(x^2-590*x+1) ogf] A145696 5.59758 [(348688*f(x)+4151)*(f(x)*x^2-590*f(x)*x+f(x)-7*x-7) ogf] A145696 6.11231 [{-a(n+2)+590*a(n+1)-a(n),a(0)=7,a(1)=4137} ogf] A145696 6.63688 [-1/2*(-7-590*x+(49+8288*x+348096*x^2)^(1/2))/(-7+x) revogf] A145696 9.67088 [-(-591+2*x+x^2)/(x+1)/(x^2-590*x+1) lgdogf] A145697 11.2993 [-1369*(x-1)/(x^2-590*x+1) ogf] A145697 11.5130 [-(589-2*x+x^2)/(x-1)/(x^2-590*x+1) lgdogf] A145697 5.59685 [-(347508*f(x)-803603)*(f(x)*x^2-590*f(x)*x+f(x)+1369*x-1369) ogf] A145697 6.50938 [{a(n+2)-590*a(n+1)+a(n),a(0)=1369,a(1)=806341} ogf] A145699 13.0430 [-(x-1)/(x^2-590*x+1) ogf] A145699 17.2218 [-(589-2*x+x^2)/(-1+x)/(x^2-590*x+1) lgdogf] A145699 6.25534 [-(347508*f(x)-587)*(f(x)*x^2-590*f(x)*x+f(x)+x-1) ogf] A145699 7.12817 [{a(n+2)-590*a(n+1)+a(n),a(0)=1,a(1)=589} ogf] A145700 4.32176 [-(128902635353424*f(x)+653941958869)*(f(x)*x^3-591*f(x)*x^2+591*f(x)*x-4*x^2-f(x)+295*x+3) ogf] A145700 5.04782 [{-a(n+3)+591*a(n+2)-591*a(n+1)+a(n),a(0)=3,a(1)=2068,a(2)=1220411} ogf] A145700 9.41758 [(4*x^2-295*x-3)/(x-1)/(x^2-590*x+1) ogf] A145708 99.9999 Evaluated at exp(-Pi) 1/32*exp(-1/2*Pi)*2^(3/5)*5^(1/4)*GAMMA(3/5)^2*GAMMA(7/10)*(5+5^(1/2))*(5^(1/2)+1)^2/Pi/GAMMA(9/10) A145715 11.9607 [-(2029-2*x+x^2)/(x-1)/(x^2-2030*x+1) lgdogf] A145715 4.11022 [-(2059434*f(x)-257429)*(f(x)*x^2-2030*f(x)*x+f(x)+254*x-254) ogf] A145715 7.55411 [-(-127-1015*x+(16129+257556*x+1030224*x^2)^(1/2))/(254+x) revogf] A145716 10.2630 [13*(x+1)/(x^2-2030*x+1) ogf] A145716 10.8284 [-(-2031+2*x+x^2)/(x+1)/(x^2-2030*x+1) lgdogf] A145716 5.1315 [(4122928*f(x)+26429)*(f(x)*x^2-2030*f(x)*x+f(x)-13*x-13) ogf] A145716 5.70168 [{-a(n+2)+2030*a(n+1)-a(n),a(0)=13,a(1)=26403} ogf] A145716 7.02896 [-1/2*(-13-2030*x+(169+52832*x+4120896*x^2)^(1/2))/(-13+x) revogf] A145717 10.3758 [-(2029-2*x+x^2)/(x-1)/(x^2-2030*x+1) lgdogf] A145717 10.6193 [-16129*(x-1)/(x^2-2030*x+1) ogf] A145717 4.6825 [-(16965077722320*f(x)-269320478116031)*(f(x)*x^2-2030*f(x)*x+f(x)+16129*x-16129) ogf] A145717 6.19457 [{a(n+2)-2030*a(n+1)+a(n),a(0)=16129,a(1)=32725741} ogf] A145718 4.13860 [{-a(n+3)+2031*a(n+2)-2031*a(n+1)+a(n),a(0)=762,a(1)=1676527,a(2)=3403477826} ogf] A145718 7.35146 [127*(7*x^2-1015*x-6)/(x-1)/(x^2-2030*x+1) ogf] A145720 4.09763 [-(1064450880339600*f(x)+3144346983769)*(f(x)*x^3-2031*f(x)*x^2+2031*f(x)*x-7*x^2-f(x)+1015*x+6) ogf] A145720 4.79646 [{-a(n+3)+2031*a(n+2)-2031*a(n+1)+a(n),a(0)=6,a(1)=13201,a(2)=26799038} ogf] A145720 8.83919 [(7*x^2-1015*x-6)/(x-1)/(x^2-2030*x+1) ogf] A145721 10.4256 [-(2029-2*x+x^2)/(x-1)/(x^2-2030*x+1) lgdogf] A145721 12.4245 [-(x-1)/(x^2-2030*x+1) ogf] A145721 5.90473 [-(4118868*f(x)-2027)*(f(x)*x^2-2030*f(x)*x+f(x)+x-1) ogf] A145721 6.77702 [{a(n+2)-2030*a(n+1)+a(n),a(0)=1,a(1)=2029} ogf] A145721 7.35926 [-1/2*(-1-2030*x+(1+4056*x+4120896*x^2)^(1/2))/(1+x) revogf] A145722 99.9999 Evaluated at exp(-Pi) 1/100*exp(1/4*Pi)*2^(19/20)*5^(3/4)*GAMMA(9/10)*GAMMA(7/10)*(5+5^(1/2))/GAMMA(4/5)^2 A145729 13.0665 [-8*x/(8*x-1)/(x-1)^2 ogf] A145729 22.4125 [-2*(-5+12*x)/(-1+8*x)/(x-1) lgdogf] A145729 5.38706 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=0,a(1)=8,a(2)=80} ogf] A145729 6.08045 [(5*f(x)+4)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x-f(x)+8*x) ogf] A145730 12.8115 [-4*x/(8*x-1)/(x-1)^2 ogf] A145730 22.8136 [-2*(-5+12*x)/(8*x-1)/(x-1) lgdogf] A145730 5.28195 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=0,a(1)=4,a(2)=40} ogf] A145730 5.9618 [(5*f(x)+2)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x-f(x)+4*x) ogf] A145740 99.9999 Evaluated at exp(-Pi) 128/625*exp(-Pi)*2^(1/5)*5^(1/2)/GAMMA(4/5)^12*GAMMA(9/10)^6*GAMMA(7/10)^6*(5+5^(1/2))^6*(1/4*5^(1/2)-1/4)^6*(1/4*5^(1/2)+1/4)^6 A145751 10.5590 [{a(n+3)-2*a(n+1),a(0)=1,a(1)=3,a(2)=4} ogf] A145751 11.826 [(8*f(x)+1)*(2*f(x)*x^2+2*x^2-f(x)+3*x+1) ogf] A145751 15.5665 [1/2*2^(1/2)*(-arcsinh(2*2^(1/2))+arcsinh(2^(1/2)*(x+2))) revegf] A145751 18.1011 [-(x+1)*(2*x+1)/(2*x^2-1) ogf] A145751 25.6390 [-4*(x+1)*(2*x+1)/(4*x+3)/(2*x^2-1) lgdogf] A145766 14.2659 [-2*x/(4*x-1)/(x-1)^2 ogf] A145766 25.2973 [-6*(-1+2*x)/(4*x-1)/(x-1) lgdogf] A145766 5.73184 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=12} ogf] A145766 8.33723 [4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+2*x ogf] A145801 3.65394 [[2+x] ogf_with_Euler_transform] A145820 6.57980 [-(9*x^6+7*x^5+9*x^4-39*x^3+7*x^2+x+8)/(x-1)/(x^6-6*x^3+1) ogf] A145839 10.3171 [(x-1)^3/(2*x^3-6*x^2+6*x-1) ogf] A145839 16.6905 [3/(-1+x)/(2*x^3-6*x^2+6*x-1) lgdogf] A145839 5.31256 [{a(n+4)-6*a(n+3)+6*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=15,a(3)=73} ogf] A145839 5.98222 [(f(x)-1)*(2*f(x)*x^3-6*f(x)*x^2-x^3+6*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A145840 15.2354 [-4/(x-1)/(2*x^4-8*x^3+12*x^2-8*x+1) lgdogf] A145840 4.93318 [-(-1+3*f(x))*(2*f(x)*x^4-8*f(x)*x^3-x^4+12*f(x)*x^2+4*x^3-8*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A145840 8.60437 [(x-1)^4/(2*x^4-8*x^3+12*x^2-8*x+1) ogf] A145841 13.5853 [5/(x-1)/(2*x^5-10*x^4+20*x^3-20*x^2+10*x-1) lgdogf] A145841 6.87540 [(x-1)^5/(2*x^5-10*x^4+20*x^3-20*x^2+10*x-1) ogf] A145885 3.44904 [{(12*n^2+54*n+60)*a(n+1)+(n^2+18*n+57)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=10} ogf] A145886 9.28676 [-x*(16-23*x+19*x^2-7*x^3+x^4)/(x-1)/(x^4-5*x^3+10*x^2-8*x+4) lgdegf] A145887 11.0842 [-(-4-8*x+11*x^2-6*x^3+x^4)/(x-1)/(x-3)/(x^2-2*x+2) lgdegf] A145887 3.39516 [{(n^2+8*n+15)*a(n+1)+(n^2+5*n+2)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A145889 15.0575 [-(1+7*x+x^2+3*x^3)/(x-1)/(x+1)/(1+x^2) lgdegf] A145889 7.96126 [-x*(x^2+1)/(x+1)^2/(x-1)^3 egf] A145910 11.8257 [(x^2-8*x-2)/(x-1)^3 ogf] A145910 20.7770 [-(-14-14*x+x^2)/(-1+x)/(x^2-8*x-2) lgdogf] A145910 6.32781 [(51*f(x)-347)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+8*x+2) ogf] A145910 6.32781 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=14,a(2)=35} ogf] A145919 10.0143 [-(2-6*x+5*x^6+12*x^5+20*x^3+15*x^2-21*x^4)/(x-1)/(x^2+x+1)/(x^4+2*x^3-3*x^2+2*x+1) lgdogf] A145919 8.45775 [-x^4*(x^4+2*x^3-3*x^2+2*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A145920 5.18602 [-x*(x^6+4*x^5+26*x^4+19*x^3+26*x^2+4*x+1)/(x+1)^4/(x-1)^5 ogf] A145920 7.20589 [-(5+3*x^7+65*x+140*x^5+305*x^3+160*x^4+115*x^2+17*x^6)/(x-1)/(x+1)/(x^6+4*x^5+26*x^4+19*x^3+26*x^2+4*x+1) lgdogf] A145923 3.28668 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=33,a(2)=65} ogf] A145923 6.14233 [(7*x^2-6*x-9)/(x-1)^3 ogf] A145923 7.302 [(159*f(x)-6941)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+6*x+9) ogf] A145923 9.77430 [-(-33+2*x+7*x^2)/(-1+x)/(7*x^2-6*x-9) lgdogf] A145924 11.8243 [-(3*x^4+5*x^3+5*x^2+3*x+9)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A145924 7.01690 [-(3+10*x+15*x^6+12*x^5+10*x^7+45*x^4+12*x^3+3*x^8+15*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+5*x^3+5*x^2+3*x+9) lgdogf] A145934 21.2571 [1/(6*x^2-x+1) ogf] A145934 30.9419 [-(12*x-1)/(6*x^2+1-x) lgdogf] A145934 7.4272 [(19*f(x)-18)*(6*f(x)*x^2-f(x)*x+f(x)-1) ogf] A145934 7.51777 [{a(n+2)-a(n+1)+6*a(n),a(0)=1,a(1)=1} ogf] A145976 22.4062 [1/(7*x^2-x+1) ogf] A145976 31.0500 [-(-1+14*x)/(7*x^2+1-x) lgdogf] A145976 7.82867 [(29*f(x)-28)*(7*f(x)*x^2-f(x)*x+f(x)-1) ogf] A145976 7.92413 [{a(n+2)-a(n+1)+7*a(n),a(0)=1,a(1)=1} ogf] A145978 24.3595 [1/(8*x^2-x+1) ogf] A145978 30.4089 [-(16*x-1)/(8*x^2+1-x) lgdogf] A145978 8.51117 [(41*f(x)-40)*(8*f(x)*x^2-f(x)*x+f(x)-1) ogf] A145978 8.61495 [{a(n+2)-a(n+1)+8*a(n),a(0)=1,a(1)=1} ogf] A145979 6.03915 [-2*(-3-4*x-3*x^8-18*x^6-12*x^5-2*x^7-26*x^4-6*x^3+x^10-15*x^2)/(-1+x)/(x+1)/(1+x^2)/(2*x^7-2*x^5-x^4-10*x^3-4*x^2-6*x-1) lgdogf] A145979 8.23418 [-(2*x^7-2*x^5-x^4-10*x^3-4*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A145980 14.2687 [(7*x^2-52*x-29)/(x-1)^3 ogf] A145980 22.0970 [-(-139-90*x+7*x^2)/(x-1)/(7*x^2-52*x-29) lgdogf] A145980 6.96842 [(27720881*f(x)-1616528439)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+52*x+29) ogf] A145980 7.68314 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=139,a(2)=323} ogf] A145995 13.3061 [-(8*x^2+x+1)/(x-1)^3 ogf] A145995 23.4223 [-2*(x+2)*(4*x+1)/(x-1)/(8*x^2+x+1) lgdogf] A145995 6.87858 [(6100*f(x)-17839)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+x+1) ogf] A145995 7.18294 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A146005 15.5754 [-2*(-3-3*x+x^3-6*x^2)/(x^2+x-1)/(-1+x^2-4*x) lgdogf] A146005 4.02199 [{(n^2+5*n+6)*a(n+1)+(n^2+4*n+3)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A146005 5.23162 [(5*f(x)+8)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x-4*x^2+f(x)-x) ogf] A146005 9.53158 [-x*(x^2-4*x-1)/(x^2+x-1)^2 ogf] A146017 7.25449 [-(f(x)*x-f(x)+1)^3 ogf] A146020 13.7327 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146040 9.40444 [-(f(x)*x-f(x)+1)^3 ogf] A146043 14.2820 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146078 21.5709 [1/(9*x^2-x+1) ogf] A146078 29.6191 [-(-1+18*x)/(9*x^2+1-x) lgdogf] A146078 7.5368 [(55*f(x)-54)*(9*f(x)*x^2-f(x)*x+f(x)-1) ogf] A146078 7.62872 [{a(n+2)-a(n+1)+9*a(n),a(0)=1,a(1)=1} ogf] A146079 10.2195 [-(2*x^8+4*x^7+8*x^6+5*x^5+4*x^4+5*x^3+8*x^2+4*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A146080 21.5035 [1/(10*x^2-x+1) ogf] A146080 29.1812 [-(-1+20*x)/(10*x^2+1-x) lgdogf] A146080 7.6798 [(71*f(x)-70)*(10*f(x)*x^2-f(x)*x+f(x)-1) ogf] A146080 7.77234 [{a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=1} ogf] A146081 16.5558 [-2*(18*x-55)/(x-1)^2 ogf] A146081 23.6225 [-(-55-x+(3025+74*x)^(1/2))/(36+x) revogf] A146081 27.8408 [-2*(-46+9*x)/(x-1)/(18*x-55) lgdogf] A146081 8.63782 [(37*f(x)+4394)*(f(x)*x^2-2*f(x)*x+f(x)+36*x-110) ogf] A146081 9.24047 [{-a(n+2)+2*a(n+1)-a(n),a(0)=110,a(1)=184} ogf] A146082 7.70263 [-(7*x^7+5*x^6+3*x^5+x^4+8*x^3+6*x^2+4*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A146083 20.4935 [1/(11*x^2-x+1) ogf] A146083 27.8503 [-(-1+22*x)/(11*x^2+1-x) lgdogf] A146083 7.31911 [(89*f(x)-88)*(11*f(x)*x^2-f(x)*x+f(x)-1) ogf] A146083 7.40730 [{a(n+2)-a(n+1)+11*a(n),a(0)=1,a(1)=1} ogf] A146084 20.4935 [1/(12*x^2-x+1) ogf] A146084 27.8503 [-(-1+24*x)/(12*x^2+1-x) lgdogf] A146084 7.1489 [(109*f(x)-108)*(12*f(x)*x^2-f(x)*x+f(x)-1) ogf] A146084 7.40730 [{a(n+2)-a(n+1)+12*a(n),a(0)=1,a(1)=1} ogf] A146086 10.1001 [-(11-108*x+225*x^4-480*x^3+368*x^2)/(x-1)/(3*x-1)/(5*x-1)/(15*x^2-16*x+3) lgdogf] A146086 11.5388 [-(15*x^2-16*x+3)/(x-1)/(3*x-1)/(5*x-1) ogf] A146086 6.00017 [-(6182*f(x)+8505)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x+15*x^2-f(x)-16*x+3) ogf] A146086 6.46569 [{-a(n+3)+9*a(n+2)-23*a(n+1)+15*a(n),a(0)=3,a(1)=11,a(2)=45} ogf] A146090 5.29954 [-(12*x^7+15*x^6-206*x^5+425*x^4-238*x^3+83*x^2+88*x+1)/(x-1)^5 ogf] A146090 5.72681 [(-93-518*x-90*x^5+24*x^7-69*x^6+605*x^4-1224*x^3+465*x^2)/(x-1)/(12*x^7+15*x^6-206*x^5+425*x^4-238*x^3+83*x^2+88*x+1) lgdogf] A146092 4.77159 [-(16*x^7+137*x^6-848*x^5+1717*x^4-1202*x^3+729*x^2+230*x+1)/(x-1)^5 ogf] A146093 8.42367 [-(x^12+x^10+x^7+2*x^6+x^5+2*x^3+2*x^2+x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A146094 8.40298 [-(2*x^11+3*x^10+3*x^9+x^7+3*x^6+3*x^4+x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A146123 3.53901 [(204*x^7-1564*x^6+4405*x^5-5865*x^4+3022*x^3-1430*x^2-535*x-1)/(x-1)^5 ogf] A146124 4.36637 [x*(13*x^5-89*x^4+223*x^3-47*x^2-356*x-32)/(x-1)^5 ogf] A146124 6.23541 [6*(86+253*x+4*x^4-15*x^3-88*x^2)/(-1+x)/(13*x^5-89*x^4+223*x^3-47*x^2-356*x-32) lgdogf] A146125 4.28395 [-x*(14*x^7+66*x^6-260*x^5+34*x^4+777*x^3-625*x^2+1581*x+93)/(x-1)^5 ogf] A146126 3.40645 [-x*(18*x^7+430*x^6-1212*x^5+1132*x^4+3869*x^3-3029*x^2+8541*x+235)/(x-1)^5 ogf] A146129 9.27473 [-(f(x)*x-f(x)+1)^3 ogf] A146132 14.2820 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146141 15.9668 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146160 10.9194 [(40*f(x)+9769)*(f(x)*x^4+16*x^3+x^2-f(x)+4*x+1) ogf] A146160 12.4050 [-2*(2+x+x^5+2*x^3+6*x^4+24*x^2+8*x^6)/(x-1)/(x+1)/(16*x^3+x^2+4*x+1)/(x^2+1) lgdogf] A146160 16.5674 [-(16*x^3+x^2+4*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A146162 7.29388 [-(-x^6-x^4-2*x^3-x^2-1)/(-x^8-x^7-x^6-x^5+x^3+x^2+x+1) ogf_with_Euler_transform] A146176 9.40173 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146185 11.6684 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146193 9.40173 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146197 3.56095 [-2*x*(10*x^8+30*x^7-215*x^6+6*x^5+1051*x^4-1460*x^3+577*x^2+472*x+9)/(x-1)^7 ogf] A146205 6.02321 [(1+14*x+15*x^2)/(x+1)/(1+x^2) lgdogf] A146226 7.00216 [-(f(x)*x-f(x)+1)^3 ogf] A146229 9.66657 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146237 11.4002 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146261 8.49195 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146298 16.3411 [-2*x*(x+7)/(-1+x)/(x^2+4*x-1) lgdogf] A146298 3.38528 [-(344*f(x)+423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-4*x^2+f(x)+x) ogf] A146298 6.53870 [x*(x^2+4*x-1)/(x-1)^4 ogf] A146301 11.3105 [-(5*x^2+102*x+21)/(x-1)^3 ogf] A146301 17.3058 [-(165+214*x+5*x^2)/(x-1)/(5*x^2+102*x+21) lgdogf] A146301 5.88513 [(11232*f(x)-818615)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+102*x+21) ogf] A146301 6.18693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=165,a(2)=437} ogf] A146302 11.4900 [(3*x^2-86*x-45)/(x-1)^3 ogf] A146302 17.3058 [-(-221-166*x+3*x^2)/(x-1)/(3*x^2-86*x-45) lgdogf] A146302 5.88513 [(13792*f(x)-1182261)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+86*x+45) ogf] A146302 6.18693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=45,a(1)=221,a(2)=525} ogf] A146308 6.25567 [-(5*x^11-2*x^10-3*x^9-10*x^8+x^7-66*x^6-11*x^5-22*x^4-15*x^3-14*x^2-7*x-6)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A146311 12.4178 [(5*x+1)/(x^2+10*x+1) ogf] A146311 14.8648 [-(5+2*x+5*x^2)/(5*x+1)/(x^2+10*x+1) lgdogf] A146311 6.49115 [(48*f(x)-23)*(f(x)*x^2+10*f(x)*x+f(x)-5*x-1) ogf] A146311 6.88218 [{-a(n+2)-10*a(n+1)-a(n),a(0)=1,a(1)=-5} ogf] A146312 10.2821 [-2*(x^2+22*x+1)/(x-1)/(x^2-98*x+1) ogf] A146312 5.22267 [(11408373*f(x)-334996)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+2*x^2-f(x)+44*x+2) ogf] A146312 5.48380 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=2,a(1)=242,a(2)=23762} ogf] A146313 10.2821 [-3*(x^2-18*x+1)/(x-1)/(x^2-98*x+1) ogf] A146313 5.3069 [(1267597*f(x)-24151)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+3*x^2-f(x)-54*x+3) ogf] A146313 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=3,a(1)=243,a(2)=23763} ogf] A146321 4.43186 [{-a(n+4)-3*a(n+3)-3*a(n+2)-2*a(n+1),a(0)=1,a(1)=4,a(2)=-2,a(3)=1} ogf] A146321 4.87505 [(f(x)-1)*(2*f(x)*x^3+3*f(x)*x^2-9*x^3+3*f(x)*x-13*x^2+f(x)-7*x-1) ogf] A146321 8.35723 [(9*x^3+13*x^2+7*x+1)/(x^2+x+1)/(2*x+1) ogf] A146321 9.52336 [(4+20*x+x^4+26*x^3+39*x^2)/(2*x+1)/(x^2+x+1)/(9*x^3+13*x^2+7*x+1) lgdogf] A146325 11.8335 [-(9*f(x)+4)*(f(x)*x^3+x^2-f(x)+4*x+1) ogf] A146325 12.3007 [{a(n+3)-a(n),a(0)=1,a(1)=4,a(2)=1} ogf] A146325 17.6236 [-(4+2*x+x^4+8*x^3+3*x^2)/(x-1)/(x^2+x+1)/(x^2+4*x+1) lgdogf] A146325 19.0786 [-(x^2+4*x+1)/(x-1)/(x^2+x+1) ogf] A146391 6.37133 [-(f(x)*x-f(x)+1)^3 ogf] A146394 9.13689 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146399 7.10285 [-(f(x)*x-f(x)+1)^3 ogf] A146402 5.15551 [(f(x)*x-f(x)+1)^2 ogf] A146407 7.10285 [-(f(x)*x-f(x)+1)^3 ogf] A146410 5.15551 [(f(x)*x-f(x)+1)^2 ogf] A146415 7.71813 [-(f(x)*x-f(x)+1)^3 ogf] A146423 7.00216 [-(f(x)*x-f(x)+1)^3 ogf] A146426 9.66657 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146439 7.03886 [-(f(x)*x-f(x)+1)^3 ogf] A146442 9.13689 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146443 6.39971 [-(f(x)*x-f(x)+1)^3 ogf] A146455 8.237 [-(f(x)*x-f(x)+1)^3 ogf] A146458 10.7296 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146463 7.97756 [-(f(x)*x-f(x)+1)^3 ogf] A146466 5.15551 [(f(x)*x-f(x)+1)^2 ogf] A146501 13.8749 [-(2*x^3-x^2+4*x+4)/(x-1)/(x+1)/(x^2-x+1) ogf] A146501 6.09033 [-(8-2*x+2*x^6-2*x^5+13*x^4+4*x^3-5*x^2)/(-1+x)/(x+1)/(x^2-x+1)/(2*x^3-x^2+4*x+4) lgdogf] A146501 9.86979 [-f(x)*x^4+f(x)*x^3-2*x^3-f(x)*x+x^2+f(x)-4*x-4 ogf] A146507 11.5522 [(29*x^2+12*x+1)/(x+1)/(x-1)^2 ogf] A146507 6.11585 [-(2*f(x)+547)*(f(x)*x^3-f(x)*x^2-f(x)*x-29*x^2+f(x)-12*x-1) ogf] A146507 6.38409 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=43} ogf] A146509 13.5086 [(13*x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A146509 16.4301 [-(5+33*x+13*x^3+21*x^2)/(x-1)/(x+1)/(13*x^2+4*x+1) lgdogf] A146509 6.97944 [-(58*f(x)+1869)*(f(x)*x^3-f(x)*x^2-f(x)*x-13*x^2+f(x)-4*x-1) ogf] A146509 7.41179 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A146510 13.3793 [(11*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A146510 16.2698 [-(4+28*x+11*x^3+17*x^2)/(x-1)/(x+1)/(11*x^2+3*x+1) lgdogf] A146510 7.15102 [(25*f(x)+5223)*(f(x)*x^3-f(x)*x^2-f(x)*x-11*x^2+f(x)-3*x-1) ogf] A146510 7.34086 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A146511 13.0963 [(49*x^2+12*x+5)/(x+1)/(x-1)^2 ogf] A146511 6.70785 [-(426*f(x)+39175)*(f(x)*x^3-f(x)*x^2-f(x)*x-49*x^2+f(x)-12*x-5) ogf] A146511 7.23742 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=17,a(2)=71} ogf] A146511 7.50390 [-(17+125*x+49*x^3+73*x^2)/(-1+x)/(x+1)/(49*x^2+12*x+5) lgdogf] A146512 13.6598 [(9*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A146512 14.5886 [-(3+23*x+9*x^3+13*x^2)/(x-1)/(x+1)/(9*x^2+2*x+1) lgdogf] A146512 6.94373 [-(147*f(x)+2302)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-2*x-1) ogf] A146512 7.37387 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A146523 10.9752 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=5} ogf] A146523 17.5602 [-2*f(x)*x+f(x)-3*x-1 ogf] A146523 21.3571 [-(3*x+1)/(2*x-1) ogf] A146523 22.1779 [-1/6-1/3*x+1/6*(1+16*x+4*x^2)^(1/2) revogf] A146523 43.1236 [-5/(3*x+1)/(2*x-1) lgdogf] A146528 12.4401 [-2*(x^2+3*x-2)/(2*x-1)/(x-1) ogf] A146528 15.7461 [-(3-10*x+9*x^2)/(x-1)/(2*x-1)/(x^2+3*x-2) lgdogf] A146528 6.46398 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=4,a(1)=6,a(2)=8} ogf] A146528 7.0141 [(f(x)-22)*(2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+6*x-4) ogf] A146529 12.2733 [(-4+12*x-7*x^2-6*x^3+2*x^4)/(x-1)/(-1+2*x)/(x^3+5*x-3) lgdogf] A146529 12.5277 [-2*(x^3+5*x-3)/(2*x-1)/(x-1) ogf] A146529 5.83186 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=6,a(1)=8,a(2)=12,a(3)=18} ogf] A146529 7.19676 [(f(x)-6)*(2*f(x)*x^2+2*x^3-3*f(x)*x+f(x)+10*x-6) ogf] A146533 13.5125 [-7/2*(7+5*(1-4*x)^(1/2))/(25*x+6)/(-1+4*x) lgdogf] A146533 6.04235 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=7} ogf] A146533 7.34261 [-4*f(x)^2*x+f(x)^2-20*f(x)*x+5*f(x)-25*x-6 ogf] A146534 13.0596 [-8*(4+3*(-4*x+1)^(1/2))/(36*x+7)/(4*x-1) lgdogf] A146534 5.57031 [{(-4*n-2)*a(n)+(n+1)*a(n+1),a(0)=1,a(1)=8} ogf] A146534 6.76899 [-4*f(x)^2*x+f(x)^2-24*f(x)*x+6*f(x)-36*x-7 ogf] A146535 10.6517 [-(1+25*x^4+10*x+21*x^2+x^7+2*x^6+15*x^5+9*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^4+5*x^2+1) lgdogf] A146535 10.9916 [(x+1)*(x^4+5*x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A146535 6.95560 [{(-2*n-9)*a(n+1)+(2*n+3)*a(n+4),a(0)=1,a(1)=1,a(2)=5,a(3)=7} ogf] A146541 10.5898 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=8} ogf] A146541 16.9436 [-2*f(x)*x+f(x)-6*x-1 ogf] A146541 20.6071 [-(6*x+1)/(2*x-1) ogf] A146559 10.6949 [2*f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A146559 14.9729 [-(x-1)/(2*x^2-2*x+1) ogf] A146559 22.5041 [-(1-4*x+2*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A146559 8.21682 [{-a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=1} ogf] A146561 3.3145 [(f(x)-1034482758620689655172413793)*(f(x)*x^2-2*f(x)*x+f(x)+689655172413793103448275862*x-1034482758620689655172413793) ogf] A146572 7.10285 [-(f(x)*x-f(x)+1)^3 ogf] A146575 9.13689 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146580 7.97756 [-(f(x)*x-f(x)+1)^3 ogf] A146583 9.66657 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146588 7.10285 [-(f(x)*x-f(x)+1)^3 ogf] A146591 4.6684 [(f(x)*x-f(x)+1)^2 ogf] A146596 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A146599 8.10002 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146604 52.8537 [1 ogf_with_Euler_transform] A146612 6.119 [-(f(x)*x-f(x)+1)^3 ogf] A146615 22.6677 [1 ogf_with_Euler_transform] A146615 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146628 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146631 22.6677 [1 ogf_with_Euler_transform] A146631 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146636 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146639 22.6677 [1 ogf_with_Euler_transform] A146639 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146644 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146646 5.86667 [-(f(x)*x-f(x)+1)^3 ogf] A146647 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146652 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146655 7.34122 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146656 6.69795 [(f(x)*x-f(x)+1)^3 ogf] A146660 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A146663 9.13689 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146668 6.119 [-(f(x)*x-f(x)+1)^3 ogf] A146671 22.6677 [1 ogf_with_Euler_transform] A146671 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146673 4.14497 [-(f(x)*x-f(x)+1)^3 ogf] A146684 5.34345 [-(f(x)*x-f(x)+1)^3 ogf] A146686 5.21918 [-(f(x)*x-f(x)+1)^3 ogf] A146688 6.08904 [-(f(x)*x-f(x)+1)^3 ogf] A146692 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146695 7.34122 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146696 6.33758 [-(f(x)*x-f(x)+1)^3 ogf] A146700 6.119 [-(f(x)*x-f(x)+1)^3 ogf] A146703 22.6677 [1 ogf_with_Euler_transform] A146703 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146708 6.119 [-(f(x)*x-f(x)+1)^3 ogf] A146711 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146716 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146718 6.45684 [(f(x)*x-f(x)+1)^3 ogf] A146719 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146724 6.87599 [-(f(x)*x-f(x)+1)^3 ogf] A146727 9.66657 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146732 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A146735 4.59872 [(f(x)*x-f(x)+1)^2 ogf] A146740 6.87599 [-(f(x)*x-f(x)+1)^3 ogf] A146761 10.5836 [-(2-2*x+3*x^6-2*x^5+11*x^4-8*x^3+5*x^2)/(x-1)/(x^2+2)/(x^2+x+1)/(x^2-x+1) lgdogf] A146761 8.52583 [-3*x^2*(x^2+2)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A146763 14.4065 [2*x*(3*x+2)/(x+1)/(x-1)^2 ogf] A146763 23.1170 [-(5+9*x+6*x^2)/(-1+x)/(3*x+2)/(x+1) lgdogf] A146763 7.14062 [-(115*f(x)-374)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-4*x) ogf] A146763 7.33188 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=4,a(2)=10} ogf] A146777 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146780 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146785 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A146788 7.34122 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146793 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146796 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146801 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146804 4.19008 [(f(x)*x-f(x)+1)^2 ogf] A146806 4.08971 [-(f(x)*x-f(x)+1)^3 ogf] A146809 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146812 7.34122 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146817 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A146820 8.23066 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A146824 9.46237 [-(f(x)*x-f(x)+1)^3 ogf] A146825 5.23585 [-(f(x)*x-f(x)+1)^3 ogf] A146827 5.55126 [-(f(x)*x-f(x)+1)^3 ogf] A146828 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A146829 6.29201 [(f(x)*x-f(x)+1)^3 ogf] A146833 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146836 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146841 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146843 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A146844 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A146849 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146851 5.92976 [-(f(x)*x-f(x)+1)^3 ogf] A146852 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146857 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146860 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A146865 6.74983 [-(f(x)*x-f(x)+1)^3 ogf] A146868 4.19008 [(f(x)*x-f(x)+1)^2 ogf] A146873 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A146875 5.74051 [-(f(x)*x-f(x)+1)^3 ogf] A146876 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A146877 6.15118 [-(f(x)*x-f(x)+1)^3 ogf] A146882 14.3243 [-1/8*(-5-5*x+(5+x)^(1/2)*(5+9*x)^(1/2))/x revogf] A146882 18.1716 [5/(4*x-1)/(x-1) ogf] A146882 24.4707 [-(-5+8*x)/(-1+4*x)/(x-1) lgdogf] A146882 6.97282 [(341*f(x)+1420)*(4*f(x)*x^2-5*f(x)*x+f(x)-5) ogf] A146882 7.22484 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=5,a(1)=25} ogf] A146883 16.4912 [-1/5*(-3-3*x+(9+18*x+4*x^2)^(1/2))/x revogf] A146883 18.3594 [6/(5*x-1)/(x-1) ogf] A146883 23.7473 [-2*(-3+5*x)/(5*x-1)/(x-1) lgdogf] A146883 7.04488 [(781*f(x)+3090)*(5*f(x)*x^2-6*f(x)*x+f(x)-6) ogf] A146883 7.29951 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=6,a(1)=36} ogf] A146884 14.9787 [-1/12*(-7-7*x+(49+98*x+25*x^2)^(1/2))/x revogf] A146884 18.0652 [7/(6*x-1)/(x-1) ogf] A146884 24.3403 [-(-7+12*x)/(6*x-1)/(x-1) lgdogf] A146884 6.85231 [(1555*f(x)+5922)*(6*f(x)*x^2-7*f(x)*x+f(x)-7) ogf] A146884 7.18253 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=7,a(1)=49} ogf] A146885 15.1201 [-1/7*(-4-4*x+(16+32*x+9*x^2)^(1/2))/x revogf] A146885 17.3097 [8/(7*x-1)/(x-1) ogf] A146885 22.3777 [-2*(-4+7*x)/(7*x-1)/(x-1) lgdogf] A146885 6.49115 [(2801*f(x)+10360)*(7*f(x)*x^2-8*f(x)*x+f(x)-8) ogf] A146885 6.88218 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=8,a(1)=64} ogf] A146919 5.09492 [-(f(x)*x-f(x)+1)^3 ogf] A146923 5.15705 [-(f(x)*x-f(x)+1)^3 ogf] A146946 15.294 [-(f(x)-1)^3 ogf] A146947 15.2045 [-(f(x)-1)^3 ogf] A146951 15.0545 [-(4*x^2+11*x+5)/(-1+x)/(2*x+3)/(x+1) lgdogf] A146951 4.93906 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=6,a(2)=10} ogf] A146951 8.16461 [-f(x)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-6*x) ogf] A146951 9.70482 [2*x*(2*x+3)/(x+1)/(x-1)^2 ogf] A146953 18.4084 [-(f(x)-1)^3 egf] A146962 12.3654 [-(5*x-1)/(19*x^2-10*x+1) ogf] A146962 14.2297 [-(5-38*x+95*x^2)/(5*x-1)/(19*x^2-10*x+1) lgdogf] A146962 6.24916 [-(12*f(x)+13)*(19*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A146962 6.91871 [{a(n+2)-10*a(n+1)+19*a(n),a(0)=1,a(1)=5} ogf] A146963 12.5164 [-(3*x-1)/(2*x^2-6*x+1) ogf] A146963 15.3072 [-(3-4*x+6*x^2)/(3*x-1)/(2*x^2-6*x+1) lgdogf] A146963 6.25818 [-(14*f(x)-5)*(2*f(x)*x^2-6*f(x)*x+f(x)+3*x-1) ogf] A146963 6.86873 [{a(n+2)-6*a(n+1)+2*a(n),a(0)=1,a(1)=3} ogf] A146964 13.6665 [-(4*x-1)/(9*x^2-8*x+1) ogf] A146964 15.4568 [-2*(2-9*x+18*x^2)/(4*x-1)/(9*x^2-8*x+1) lgdogf] A146964 6.91004 [-(7*f(x)+1)*(9*f(x)*x^2-8*f(x)*x+f(x)+4*x-1) ogf] A146964 7.49991 [{a(n+2)-8*a(n+1)+9*a(n),a(0)=1,a(1)=4} ogf] A146965 12.4291 [-(5*x-1)/(18*x^2-10*x+1) ogf] A146965 14.3046 [-(5-36*x+90*x^2)/(5*x-1)/(18*x^2-10*x+1) lgdogf] A146965 6.28137 [-(14*f(x)+11)*(18*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A146965 6.95437 [{a(n+2)-10*a(n+1)+18*a(n),a(0)=1,a(1)=5} ogf] A146966 13.1302 [-(6*x-1)/(29*x^2-12*x+1) ogf] A146966 14.4080 [-2*(3-29*x+87*x^2)/(6*x-1)/(29*x^2-12*x+1) lgdogf] A146966 6.70784 [-(7*f(x)+11)*(29*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A146966 7.34667 [{a(n+2)-12*a(n+1)+29*a(n),a(0)=1,a(1)=6} ogf] A146976 17.7486 [-(f(x)-1)^3 egf] A146983 11.9642 [(x^2-x+1)/(x+1)/(x^2-4*x+1) ogf] A146983 13.5242 [-(-2-8*x+x^4-2*x^3+9*x^2)/(x+1)/(x^2-4*x+1)/(x^2-x+1) lgdogf] A146983 6.23772 [-(75*f(x)+56)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1) ogf] A146983 6.45853 [{a(n+3)-3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A146989 14.1309 [-(x^4+13*x^3+x^2+2*x+15)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A146989 9.38292 [-(2+2*x+8*x^5+4*x^3+75*x^4+39*x^2+3*x^6+26*x^7+x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+13*x^3+x^2+2*x+15) lgdogf] A146994 6.81638 [-(3+5*x+16*x^5+16*x^4+10*x^3+23*x^6+5*x^7+10*x^2+10*x^8+6*x^9+4*x^10)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+2*x+1) lgdogf] A146994 7.71517 [-(x^5+x^4+x^3+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A147007 3.97652 [-(f(x)*x-f(x)+1)^3 ogf] A147008 3.23092 [-(f(x)*x-f(x)+1)^3 ogf] A147009 4.78425 [-(f(x)*x-f(x)+1)^3 ogf] A147013 15.3402 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147016 4.22742 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A147021 16.5620 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147024 11.9404 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147028 9.65162 [-(f(x)*x-f(x)+1)^3 ogf] A147029 5.36201 [-(f(x)*x-f(x)+1)^3 ogf] A147031 5.80359 [-(f(x)*x-f(x)+1)^3 ogf] A147032 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147037 2.02976 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A147041 3.46282 [(f(x)*x-f(x)+1)^3 ogf] A147049 2.36806 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A147053 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147056 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A147069 15.0687 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147072 3.54179 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A147077 12.9770 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147080 10.1622 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147092 10.7665 [-(f(x)*x-f(x)+1)^3 ogf] A147096 33.3050 [1 ogf_with_Euler_transform] A147108 9.06591 [(f(x)*x-f(x)+1)^3 ogf] A147109 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A147111 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A147112 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147113 5.77838 [-(f(x)*x-f(x)+1)^3 ogf] A147116 9.13357 [(f(x)*x-f(x)+1)^3 ogf] A147117 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A147119 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A147120 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147121 5.77838 [-(f(x)*x-f(x)+1)^3 ogf] A147124 8.20157 [-(f(x)*x-f(x)+1)^3 ogf] A147125 4.78425 [-(f(x)*x-f(x)+1)^3 ogf] A147127 4.78425 [-(f(x)*x-f(x)+1)^3 ogf] A147128 3.45046 [(f(x)*x-f(x)+1)^2 ogf] A147129 6.22436 [(f(x)*x-f(x)+1)^3 ogf] A147133 5.34345 [-(f(x)*x-f(x)+1)^3 ogf] A147135 4.78425 [-(f(x)*x-f(x)+1)^3 ogf] A147136 3.58577 [(f(x)*x-f(x)+1)^2 ogf] A147140 12.9241 [(f(x)*x-f(x)+1)^3 ogf] A147145 2.45263 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A147148 11.0591 [(f(x)*x-f(x)+1)^3 ogf] A147149 5.74051 [-(f(x)*x-f(x)+1)^3 ogf] A147151 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147152 4.45937 [(f(x)*x-f(x)+1)^2 ogf] A147153 6.76561 [(f(x)*x-f(x)+1)^3 ogf] A147156 2.50795 [(f(x)*x-f(x)+1)^2 ogf] A147156 8.41046 [[1] ogf_with_Euler_transform] A147158 6.11670 [[1] ogf_with_Euler_transform] A147159 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147160 5.90265 [-(f(x)*x-f(x)+1)^3 ogf] A147164 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147166 5.86667 [-(f(x)*x-f(x)+1)^3 ogf] A147167 4.0527 [(f(x)*x-f(x)+1)^2 ogf] A147171 8.2637 [-(f(x)*x-f(x)+1)^3 ogf] A147172 5.23585 [-(f(x)*x-f(x)+1)^3 ogf] A147174 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A147175 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147176 5.77838 [-(f(x)*x-f(x)+1)^3 ogf] A147180 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147182 5.86667 [-(f(x)*x-f(x)+1)^3 ogf] A147187 15.3402 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147199 7.32898 [-(f(x)*x-f(x)+1)^3 ogf] A147203 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147205 5.74051 [-(f(x)*x-f(x)+1)^3 ogf] A147206 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147207 6.15118 [-(f(x)*x-f(x)+1)^3 ogf] A147208 4.03444 [-(f(x)*x-f(x)+1)^3 ogf] A147211 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A147214 8.23066 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147215 6.39971 [-(f(x)*x-f(x)+1)^3 ogf] A147220 6.49899 [[1] ogf_with_Euler_transform] A147221 2.22296 [(f(x)*x-f(x)+1)^2 ogf] A147233 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147236 7.34122 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147241 6.24517 [-(f(x)*x-f(x)+1)^3 ogf] A147244 8.23066 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147249 15.0687 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147253 7.26412 [-(f(x)*x-f(x)+1)^3 ogf] A147258 6.49899 [[1] ogf_with_Euler_transform] A147262 10.6469 [(f(x)*x-f(x)+1)^3 ogf] A147263 5.48818 [-(f(x)*x-f(x)+1)^3 ogf] A147265 5.99284 [-(f(x)*x-f(x)+1)^3 ogf] A147266 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147267 6.42733 [(f(x)*x-f(x)+1)^3 ogf] A147270 7.65576 [(f(x)*x-f(x)+1)^3 ogf] A147273 5.01327 [-(f(x)*x-f(x)+1)^3 ogf] A147276 9.40419 [(f(x)*x-f(x)+1)^3 ogf] A147277 5.74051 [-(f(x)*x-f(x)+1)^3 ogf] A147280 3.91532 [(f(x)*x-f(x)+1)^2 ogf] A147281 6.49498 [(f(x)*x-f(x)+1)^3 ogf] A147284 2.56495 [(f(x)*x-f(x)+1)^2 ogf] A147284 8.60162 [[1] ogf_with_Euler_transform] A147286 6.30785 [[1] ogf_with_Euler_transform] A147287 5.25782 [-(f(x)*x-f(x)+1)^3 ogf] A147296 13.6181 [-x*(7*x+11)/(x-1)^3 ogf] A147296 29.9449 [-2*(20+7*x)/(7*x+11)/(x-1) lgdogf] A147296 6.63741 [(689148*f(x)-4605809)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+11*x) ogf] A147296 6.98984 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=11,a(2)=40} ogf] A147307 2.15539 [-(f(x)*x-f(x)+1)^3 ogf] A147316 15.3492 [-(10946*x-6765)/(x^2+x-1) ogf] A147316 7.8251 [(9349*f(x)+45765224)*(f(x)*x^2+f(x)*x-f(x)+10946*x-6765) ogf] A147316 9.07001 [{-a(n+2)+a(n+1)+a(n),a(0)=-6765,a(1)=4181} ogf] A147320 2.40716 [(f(x)*x-f(x)+1)^2 ogf] A147328 2.76332 [-(f(x)*x-f(x)+1)^3 ogf] A147331 3.03965 [-(f(x)*x-f(x)+1)^3 ogf] A147334 2.81858 [-(f(x)*x-f(x)+1)^3 ogf] A147336 2.52751 [(f(x)*x-f(x)+1)^2 ogf] A147337 3.49038 [(f(x)*x-f(x)+1)^3 ogf] A147340 11.6684 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147341 2.76332 [-(f(x)*x-f(x)+1)^3 ogf] A147342 2.22662 [(f(x)*x-f(x)+1)^2 ogf] A147343 3.2581 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A147344 6.6804 [-(f(x)*x-f(x)+1)^3 ogf] A147345 3.03965 [-(f(x)*x-f(x)+1)^3 ogf] A147358 2.88576 [-(f(x)*x-f(x)+1)^3 ogf] A147359 3.59231 [-(f(x)*x-f(x)+1)^3 ogf] A147377 10.5229 [(f(x)*x-f(x)+1)^3 ogf] A147378 12.0708 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147380 11.9367 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147381 22.2463 [1 ogf_with_Euler_transform] A147381 3.0267 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A147382 6.14301 [-(f(x)*x-f(x)+1)^3 ogf] A147386 2.32119 [-(f(x)*x-f(x)+1)^3 ogf] A147388 2.22662 [(f(x)*x-f(x)+1)^2 ogf] A147391 3.55055 [(f(x)*x-f(x)+1)^3 ogf] A147393 2.52177 [(f(x)*x-f(x)+1)^2 ogf] A147395 2.11125 [(f(x)*x-f(x)+1)^2 ogf] A147395 7.10294 [[1] ogf_with_Euler_transform] A147398 10.8313 [-(f(x)*x-f(x)+1)^3 ogf] A147403 7.32898 [-(f(x)*x-f(x)+1)^3 ogf] A147438 2.89581 [(f(x)*x-f(x)+1)^2 ogf] A147440 2.64936 [(f(x)*x-f(x)+1)^2 ogf] A147441 2.21807 [(f(x)*x-f(x)+1)^2 ogf] A147442 2.82917 [-(f(x)*x-f(x)+1)^3 ogf] A147445 11.3704 [(f(x)*x-f(x)+1)^3 ogf] A147446 13.2779 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147448 2.34698 [(f(x)*x-f(x)+1)^2 ogf] A147454 12.9770 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147457 9.09553 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147464 2.71098 [(f(x)*x-f(x)+1)^2 ogf] A147474 3.61073 [(f(x)*x-f(x)+1)^3 ogf] A147478 2.64936 [(f(x)*x-f(x)+1)^2 ogf] A147491 14.0826 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147493 2.2868 [(f(x)*x-f(x)+1)^2 ogf] A147494 3.54987 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A147498 3.73451 [-(f(x)*x-f(x)+1)^3 ogf] A147501 2.71098 [(f(x)*x-f(x)+1)^2 ogf] A147504 3.59231 [-(f(x)*x-f(x)+1)^3 ogf] A147507 13.1095 [1-3*f(x)+3*f(x)^2-f(x)^3 lgdegf] A147518 13.5319 [(x-1)/(6*x^2+4*x-1) ogf] A147518 14.2041 [1/2/(-1+6*x)*(-4*x-1+(40*x^2+4*x+1)^(1/2)) revogf] A147518 16.1235 [-3*(-1-4*x+2*x^2)/(x-1)/(6*x^2+4*x-1) lgdogf] A147518 6.99926 [(14*f(x)-11)*(6*f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A147518 7.42604 [{-a(n+2)+4*a(n+1)+6*a(n),a(0)=1,a(1)=3} ogf] A147534 13.8169 [(x^3+x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A147534 15.1896 [-(1+3*x+3*x^4+2*x^3+x^5+8*x^2)/(x-1)/(x^2+x+1)/(x^3+x^2+1) lgdogf] A147534 5.44304 [{(3*n+10)*a(n+1)+3*a(n+2)+3*a(n+3)+(-3*n-7)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A147534 7.30163 [-(171*f(x)-235)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-x^2+f(x)-1) ogf] A147535 4.18312 [-(121*f(x)-340)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+32*x^2-f(x)-27*x+5) ogf] A147535 4.43555 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=5,a(1)=18,a(2)=64} ogf] A147535 6.69794 [-2*(9-98*x+384*x^4-648*x^3+387*x^2)/(3*x-1)/(2*x-1)/(4*x-1)/(32*x^2-27*x+5) lgdogf] A147535 7.91575 [-(32*x^2-27*x+5)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A147536 10.6882 [-(19*x-5)/(4*x-1)/(3*x-1) ogf] A147536 11.1402 [-4*(4-30*x+57*x^2)/(19*x-5)/(-1+3*x)/(4*x-1) lgdogf] A147536 11.6707 [-1/2*(-7*x-5+(x^2-6*x+25)^(1/2))/(19+12*x) revogf] A147536 5.23277 [-(115*f(x)-4671)*(12*f(x)*x^2-7*f(x)*x+f(x)+19*x-5) ogf] A147536 5.98031 [{a(n+2)-7*a(n+1)+12*a(n),a(0)=5,a(1)=16} ogf] A147537 12.4042 [2*(4*x+1)/(8*x-1)/(2*x-1) ogf] A147537 12.6938 [-2*(-7+16*x+32*x^2)/(4*x+1)/(-1+8*x)/(-1+2*x) lgdogf] A147537 13.2842 [-1/8*(-1-5*x+(1+18*x+9*x^2)^(1/2))/(-1+2*x) revogf] A147537 6.85881 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=2,a(1)=28} ogf] A147537 8.10732 [(27*f(x)+44)*(16*f(x)*x^2-10*f(x)*x+f(x)-8*x-2) ogf] A147538 15.4384 [-1/32*(-1-6*x+(1+12*x+4*x^2)^(1/2))/x revogf] A147538 16.6571 [2/(8*x-1)/(4*x-1) ogf] A147538 19.6973 [-4*(16*x-3)/(-1+8*x)/(-1+4*x) lgdogf] A147538 6.85881 [{-a(n+2)+12*a(n+1)-32*a(n),a(0)=2,a(1)=24} ogf] A147538 7.83222 [(5*f(x)+8)*(32*f(x)*x^2-12*f(x)*x+f(x)-2) ogf] A147539 3.29133 [(294594315*f(x)+158879536)*(256*f(x)*x^4-432*f(x)*x^3+202*f(x)*x^2-27*f(x)*x-136*x^2+f(x)+36*x-5) ogf] A147539 6.45768 [(136*x^2-36*x+5)/(x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A147540 3.05443 [(413459300583*f(x)+182491445000)*(1024*f(x)*x^4-1440*f(x)*x^3+460*f(x)*x^2-768*x^3-45*f(x)*x+128*x^2+f(x)-6*x-5) ogf] A147540 5.83736 [(768*x^3-128*x^2+6*x+5)/(x-1)/(8*x-1)/(32*x-1)/(4*x-1) ogf] A147543 4.83098 [(646*f(x)+2179)*(30*f(x)*x^3-31*f(x)*x^2+10*f(x)*x+41*x^2-f(x)-35*x+6) ogf] A147543 4.95380 [{a(n+3)-10*a(n+2)+31*a(n+1)-30*a(n),a(0)=6,a(1)=25,a(2)=105} ogf] A147543 7.63160 [-5*(5-58*x+243*x^2-420*x^3+246*x^4)/(3*x-1)/(2*x-1)/(5*x-1)/(41*x^2-35*x+6) lgdogf] A147543 8.85679 [-(41*x^2-35*x+6)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A147546 4.72498 [(5746*f(x)+15661)*(36*f(x)*x^3-36*f(x)*x^2+11*f(x)*x+42*x^2-f(x)-41*x+7) ogf] A147546 4.92519 [{a(n+3)-11*a(n+2)+36*a(n+1)-36*a(n),a(0)=7,a(1)=36,a(2)=186} ogf] A147546 7.48933 [-6*(6-70*x+295*x^2-492*x^3+252*x^4)/(6*x-1)/(-1+3*x)/(2*x-1)/(42*x^2-41*x+7) lgdogf] A147546 8.80564 [-(42*x^2-41*x+7)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A147560 5.51151 [{(-n^2-8*n-16)*a(n+1)+(n^2+2*n+1)*a(n+4),a(0)=0,a(1)=4,a(2)=16,a(3)=12} ogf] A147560 6.99723 [-4*x*(x+1)*(x^6+3*x^5+13*x^3+3*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A147560 7.34380 [-2*(2+3*x+18*x^4+42*x^3+51*x^5+36*x^6+x^9+6*x^8+6*x^7+24*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^6+3*x^5+13*x^3+3*x+1) lgdogf] A147567 7.92348 [-(x^7+4*x^6-x^5+x^4-4*x^3-3*x^2-x-2)/(x^8-x^4+1) ogf] A147574 3.38063 [-510510*(x^16+2*x^15+19*x^6+15*x^5+12*x^4+9*x^3+6*x^2+3*x+1)/(3*x^16-2*x^15-19*x^8+23*x^7-x^6-x^2-x-1) ogf] A147575 11.9062 [9699690*x/(4849845+(23520996524025+9699690*x)^(1/2))^2 revogf] A147575 16.8026 [9699690/(x-1)^2 ogf] A147575 49.6491 [[2] ogf_with_Euler_transform] A147575 6.89789 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9699690,a(1)=19399380} ogf] A147575 80.3670 [-2/(x-1) lgdogf] A147581 26.5782 [[3-x] ogf_with_Euler_transform] A147585 30.6912 [-5+(1-7*x)*f(x) lgdegf] A147585 5.29159 [-1/7*(1-2*x)^(1/2)+6/7*(1-2*x)^(1/2)*x-12/7*(1-2*x)^(1/2)*x^2+8/7*(1-2*x)^(1/2)*x^3+1/7 revegf] A147585 5.29439 [{(-7*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A147587 18.2633 [7*(x+1)/(x-1)^2 ogf] A147587 22.3880 [-1/2*(-7-2*x+(49+56*x)^(1/2))/(-7+x) revogf] A147587 38.9480 [[3-x] ogf_with_Euler_transform] A147587 44.7760 [-(x+3)/(x-1)/(x+1) lgdogf] A147587 9.33921 [(16*f(x)+455)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-7) ogf] A147587 9.90181 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=21} ogf] A147589 4.51089 [(11011*f(x)+1310)*(10000*f(x)*x^2-1010*f(x)*x+f(x)-100*x-1) ogf] A147589 4.95218 [{-a(n+2)+1010*a(n+1)-10000*a(n),a(0)=1,a(1)=1110} ogf] A147589 7.68982 [-10*(-111+2000*x+100000*x^2)/(100*x+1)/(1000*x-1)/(10*x-1) lgdogf] A147589 7.82473 [-1/200*(-1-1010*x+(1+2420*x+980100*x^2)^(1/2))/(-1+100*x) revogf] A147589 8.43706 [(100*x+1)/(1000*x-1)/(10*x-1) ogf] A147590 13.4489 [(4*x+1)/(8*x-1)/(2*x-1) ogf] A147590 14.0935 [-1/8*(-10*x-1+(1+36*x+36*x^2)^(1/2))/(4*x-1) revogf] A147590 14.0935 [-2*(-7+16*x+32*x^2)/(4*x+1)/(-1+8*x)/(2*x-1) lgdogf] A147590 7.10224 [(27*f(x)+22)*(16*f(x)*x^2-10*f(x)*x+f(x)-4*x-1) ogf] A147590 7.43646 [{-a(n+2)+10*a(n+1)-16*a(n),a(0)=1,a(1)=14} ogf] A147592 12.2175 [1/(x^3+x^2-1)/(x^3-x-1) ogf] A147592 14.8512 [-(1-2*x+6*x^5-4*x^3+5*x^4-9*x^2)/(x^3+x^2-1)/(x^3-x-1) lgdogf] A147593 12.5574 [1/(x^4-x^3-1)/(x^4+x-1) ogf] A147593 13.8738 [-(-1+8*x^7-7*x^6+5*x^4-12*x^3+3*x^2)/(x^4-x^3-1)/(x^4+x-1) lgdogf] A147595 11.1124 [(-3+4*x+16*x^5+16*x^3-36*x^4)/(x-1)/(2*x-1)/(2*x^2-1)/(2*x^2+1) lgdogf] A147595 14.5702 [-(2*x^2-1)*(2*x^2+1)/(2*x-1)/(x-1) ogf] A147595 5.57767 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15,a(4)=27} ogf] A147595 8.02182 [(f(x)+6)*(4*x^4+2*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A147596 10.1002 [(-3+4*x+64*x^7-120*x^6+48*x^5)/(x-1)/(2*x-1)/(2*x^2-1)/(4*x^4+2*x^2+1) lgdogf] A147596 14.7117 [-(2*x^2-1)*(4*x^4+2*x^2+1)/(2*x-1)/(x-1) ogf] A147596 4.65080 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15,a(4)=31,a(5)=63,a(6)=119} ogf] A147597 11.8372 [-(2*x-1)*(2*x+1)*(4*x^2+2*x+1)/(4*x-1)/(x-1) ogf] A147597 5.60233 [{-a(n+5)+5*a(n+4)-4*a(n+3),a(0)=1,a(1)=7,a(2)=31,a(3)=119,a(4)=455} ogf] A147597 6.7954 [(2079*f(x)+1328)*(16*x^4+4*f(x)*x^2+8*x^3-5*f(x)*x+f(x)-2*x-1) ogf] A147597 7.16683 [(-7+8*x+32*x^2-16*x^3-208*x^4+128*x^5)/(x-1)/(2*x+1)/(-1+2*x)/(-1+4*x)/(4*x^2+2*x+1) lgdogf] A147598 7.71236 [-(-1-4*x+6*x^5-25*x^4+4*x^3+21*x^6-16*x^7-9*x^8+9*x^2+10*x^9)/(x^5-x^4-x^3+x^2-1)/(x^5-x^3+x^2+x-1) lgdogf] A147598 8.28264 [1/(x^5-x^4-x^3+x^2-1)/(x^5-x^3+x^2+x-1) ogf] A147599 15.8659 [-(x^6-x^5+x^2)/(x^8-1) ogf_with_Euler_transform] A147600 14.8892 [-a(n+4)+3*a(n+2)-a(n),a(0)=0,a(1)=6,a(2)=0,a(3)=14 lgdogf] A147600 18.8329 [1/(x^2+x-1)/(x^2-x-1) ogf] A147600 8.39538 [(55*f(x)+26)*(f(x)*x^4-3*f(x)*x^2+f(x)-1) ogf] A147601 11.9335 [(7*x^2+4*x+7)/(x-1)^2/(x+1)^2 ogf] A147601 13.2896 [-2*(2+21*x+7*x^3+6*x^2)/(-1+x)/(x+1)/(7+7*x^2+4*x) lgdogf] A147601 5.81374 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=7,a(1)=4,a(2)=21} ogf] A147601 7.08548 [(98*f(x)+573)*(f(x)*x^4-2*f(x)*x^2-7*x^2+f(x)-4*x-7) ogf] A147604 10.7168 [(x^3-x^2-1)/(x^5-x^3+x^2+x-1) ogf] A147604 11.1201 [-(-1-4*x+2*x^7-3*x^6-5*x^4-2*x^3+7*x^2)/(x^3-x^2-1)/(x^5-x^3+x^2+x-1) lgdogf] A147605 6.47410 [1/(x^7+x^6+x^5+x^4+x^3+x^2-1)/(x^7-x^5-x^4-x^3-x^2-x-1) ogf] A147606 7.39109 [-(-1-4*x+24*x^7+9*x^8-20*x^9+12*x^11-30*x^5+12*x^3+3*x^2-11*x^10)/(x^6-x^5-x^4+x^2-1)/(x^6-x^4+x^2+x-1) lgdogf] A147606 7.76136 [1/(x^6-x^5-x^4+x^2-1)/(x^6-x^4+x^2+x-1) ogf] A147607 7.74914 [-8*x*(-1+2*x^2+3*x^4-11*x^6+5*x^8+6*x^10-7*x^12+2*x^14)/(x^8-2*x^6+x^4+2*x^2-1)/(x^8-2*x^6-x^4+2*x^2-1) lgdogf] A147607 8.32085 [1/(x^8-2*x^6+x^4+2*x^2-1)/(x^8-2*x^6-x^4+2*x^2-1) ogf] A147611 14.0290 [-(7+8*x+16*x^4-x^3+24*x^2)/(x-1)/(1+x+x^2)/(2*x^2-x+2) lgdogf] A147611 5.96510 [x^4*(2*x^2-x+2)/(x^2+x+1)^2/(x-1)^6 ogf] A147617 6.18803 [-(-1-35*x^6+18*x^8-4*x+14*x^13-13*x^12-24*x^11+11*x^10+10*x^9+10*x^4+4*x^3+3*x^2)/(x^7-x^6-x^5+x^2-1)/(x^7-x^5+x^2+x-1) lgdogf] A147617 6.58798 [1/(x^7-x^6-x^5+x^2-1)/(x^7-x^5+x^2+x-1) ogf] A147618 9.11358 [-(5+6*x+11*x^6-6*x^5+39*x^4+2*x^3+24*x^2)/(x-1)/(1+x+x^2)/(x^4-x^3+3*x^2-x+1) lgdogf] A147620 6.31964 [-(-1+12*x^5-40*x^7+20*x^9+12*x^11-4*x+3*x^2+13*x^12-28*x^13-15*x^14+16*x^15+4*x^3)/(x^8-x^7-x^6+x^2-1)/(x^8-x^6+x^2+x-1) lgdogf] A147620 6.49589 [1/(x^8-x^7-x^6+x^2-1)/(x^8-x^6+x^2+x-1) ogf] A147621 5.92877 [-(26+32*x+368*x^6-121*x^5+173*x^2+38*x^3+458*x^4+56*x^8-58*x^7)/(x-1)/(x^2+x+1)/(2*x^2-x+2)/(2*x^4-2*x^3+9*x^2-2*x+2) lgdogf] A147622 6.04261 [-(-1+14*x^6-45*x^8+22*x^10+14*x^13-4*x+18*x^17-17*x^16-32*x^15+15*x^14+4*x^3+3*x^2)/(x^9-x^8-x^7+x^2-1)/(x^9-x^7+x^2+x-1) lgdogf] A147622 6.26644 [1/(x^9-x^8-x^7+x^2-1)/(x^9-x^7+x^2+x-1) ogf] A147623 12.6021 [-(3+6*x+2*x^5+5*x^4+8*x^3+12*x^2)/(x-1)/(x+1)/(x^2+1)/(1+x+x^2) lgdogf] A147623 27.6323 [-x^3+x^2+3 ogf_with_Euler_transform] A147623 9.05176 [-2*(x^2+1)*(x+1)*x/(x^2+x+1)/(x-1)^3 ogf] A147625 31.4134 [-5+(1-8*x)*f(x) lgdegf] A147625 5.41610 [{(-8*n-13)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A147625 6.20001 [-1/8*(3*(1-3*x)^(1/3)*x-(1-3*x)^(1/3)+1)*(3*(1-3*x)^(1/3)*x-(1-3*x)^(1/3)-1) revegf] A147626 21.9106 [-x*(x-1)*(2*x^2-2*x+1) revegf] A147626 32.1355 [-6+(1-8*x)*f(x) lgdegf] A147626 5.53781 [{(-8*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A147628 2.83321 [-(f(x)-1)^3 ogf] A147629 32.3161 [-5+(1-9*x)*f(x) lgdegf] A147629 5.56824 [{(-9*n-14)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A147629 7.45755 [-1/9*(1-4*x)^(1/4)+8/9*(1-4*x)^(1/4)*x-16/9*(1-4*x)^(1/4)*x^2+1/9 revegf] A147630 10.4611 [81*f(x)^3*x^2-18*f(x)^3*x+f(x)^3-1 egf] A147630 32.3161 [x*(1-3*x+3*x^2) revegf] A147630 44.0674 [-6/(-1+9*x) lgdegf] A147630 7.64011 [{(-9*n-15)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A147631 32.6771 [-7+(1-9*x)*f(x) lgdegf] A147631 5.62909 [{(-9*n-16)*a(n+1)+a(n+2),a(0)=1,a(1)=7} ogf] A147632 4.11273 [-(f(x)-1)^3 ogf] A147633 3.19879 [-(f(x)-1)^3 ogf] A147635 4.66109 [-(f(x)-1)^3 ogf] A147651 10.1144 [9*x*(x-3)/(x-1)^3 ogf] A147651 26.1803 [-2*(-4+x)/(-1+x)/(x-3) lgdogf] A147651 5.19144 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=27,a(2)=72} ogf] A147651 5.38195 [(8*f(x)+81)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+27*x) ogf] A147652 12.6605 [1/(x^10-x^6-x^5-x^4+1) ogf] A147652 13.4686 [-x^3*(-6*x^2-5*x-4+10*x^6)/(1-x^4-x^5-x^6+x^10) lgdogf] A147656 10.2581 [x*(x^2+x+4)/(x-1)^4 ogf] A147656 23.7992 [-(17+5*x+2*x^2)/(x-1)/(x^2+x+4) lgdogf] A147656 4.09204 [{(12+4*n)*a(n+4)+(-23-3*n)*a(n+3)-5*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=17,a(3)=45} ogf] A147656 5.31094 [(18048*f(x)+24923)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-4*x) ogf] A147657 5.99076 [-(2*f(x)-1)*(f(x)*x^4-x^4+2*f(x)*x^2-2*x^3-3*x^2+f(x)-2*x-1) ogf] A147658 5.94758 [-(4*f(x)-7)*(f(x)*x^4-x^4+2*f(x)*x^2-3*x^3-4*x^2+f(x)-3*x-1) ogf] A147659 14.5504 [1/(x^12-x^10-x^2-x+1) ogf] A147659 16.1671 [-(-1-2*x+12*x^11-10*x^9)/(-x^2+1-x+x^12-x^10) lgdogf] A147660 14.6959 [-1/(x^11-x^9+x^2+x-1) ogf] A147660 17.5669 [-(1+2*x+11*x^10-9*x^8)/(x^2-1+x+x^11-x^9) lgdogf] A147663 10.9684 [-(1+2*x+11*x^10-9*x^8+7*x^6-3*x^2)/(x^3+x^2-1)/(x^8-x^7+x^5-x^4+x^3-x+1) lgdogf] A147663 12.9873 [-1/(x^3+x^2-1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A147666 11.7270 [x*(x^4+5*x^3+5*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A147666 13.8392 [-(5+2*x^6+15*x^5+29*x^3+21*x^2)/(x-1)/(x^4+5*x^3+5*x+1)/(x^2+x+1) lgdogf] A147672 7.09948 [x*(6*x^4+x^3-2*x^2+x-1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A147672 7.96862 [-(2+4*x+20*x^5-17*x^3+24*x^4-13*x^2)/(x-1)/(2*x-1)/(1+x)/(6*x^4+x^3-2*x^2+x-1) lgdogf] A147675 10.5779 [(36*f(x)-355)*(2*f(x)*x^2-f(x)+5*x+10) ogf] A147675 11.5543 [{-a(n+2)+2*a(n),a(0)=10,a(1)=5} ogf] A147675 17.8817 [-5*(x+2)/(2*x^2-1) ogf] A147675 22.3144 [(-5+(25+5*x+2*x^2)^(1/2))/(5+2*x) revogf] A147675 24.5459 [-(1+8*x+2*x^2)/(x+2)/(2*x^2-1) lgdogf] A147677 14.6459 [(x^2-5*x+7)/(x+1)/(x-1)^2 ogf] A147677 20.3828 [-(2+18*x-9*x^2+x^3)/(x-1)/(x+1)/(x^2-5*x+7) lgdogf] A147677 7.44497 [-(179*f(x)+1207)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)+5*x-7) ogf] A147677 7.90617 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=2,a(2)=10} ogf] A147678 7.69513 [-2*(-1-2*x+4*x^8+4*x^7+2*x^6-4*x^5-2*x^4+4*x^3+x^2)/(x-1)/(2*x+1)/(x+1)/(2*x^2-1)/(2*x^4-2*x^2+1) lgdogf] A147678 8.55373 [-(2*x+1)*(2*x^4-2*x^2+1)/(2*x^2-1)/(x-1)^2/(x+1)^2 ogf] A147685 12.9566 [-(1+10*x+3*x^4+12*x^3+2*x^5+8*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A147685 25.3798 [-x^3-x^2+4*x+1 ogf_with_Euler_transform] A147685 9.89762 [-x*(x^2+1)*(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A147688 13.1940 [-(6*x-1)/(28*x^2-12*x+1) ogf] A147688 14.4794 [-2*(3-28*x+84*x^2)/(6*x-1)/(28*x^2-12*x+1) lgdogf] A147688 7.12778 [(2*f(x)+1)*(28*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A147688 7.38233 [{a(n+2)-12*a(n+1)+28*a(n),a(0)=1,a(1)=6} ogf] A147689 12.1536 [-(7*x-1)/(41*x^2-14*x+1) ogf] A147689 13.6450 [-(7-82*x+287*x^2)/(7*x-1)/(41*x^2-14*x+1) lgdogf] A147689 13.9861 [-1/2*(-14*x-1+(32*x^2+1)^(1/2))/(41*x+7) revogf] A147689 6.14216 [-(16*f(x)+33)*(41*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A147689 6.80025 [{a(n+2)-14*a(n+1)+41*a(n),a(0)=1,a(1)=7} ogf] A147691 6.24730 [-x*(x^2+x+1)*(x^4-4*x^3-8*x^2-6*x-1)/(x+1)^2/(x-1)^4 ogf] A147691 8.67725 [(9+91*x^4+50*x+119*x^2+x^6+22*x^5+140*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^4-4*x^3-8*x^2-6*x-1) lgdogf] A147702 99.9999 Evaluated at exp(-Pi) 1/50*2^(19/20)*5^(3/4)*GAMMA(9/10)*GAMMA(7/10)*(5+5^(1/2))/GAMMA(4/5)^2 A147704 13.1048 [-(2*x-1)/(x^3-3*x+1) ogf] A147704 16.0190 [-(1+4*x^3-3*x^2)/(2*x-1)/(x^3-3*x+1) lgdogf] A147704 6.27357 [{a(n+3)-3*a(n+2)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A147704 8.98069 [-(3*f(x)-1)*(f(x)*x^3-3*f(x)*x+f(x)+2*x-1) ogf] A147722 12.9529 [-1/2*(-5*x-1+(17*x^2-2*x+1)^(1/2))/(2*x+3) revogf] A147722 17.8834 [-(3*x-1)/(2*x^2-5*x+1) ogf] A147722 9.04213 [-(7*f(x)-5)*(2*f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A147722 9.81404 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=1,a(1)=2} ogf] A147725 11.4451 [(3*x^2-7*x+1)/(11*x^2-9*x+1) ogf] A147725 13.4635 [2*(1-8*x+25*x^2)/(3*x^2-7*x+1)/(11*x^2-9*x+1) lgdogf] A147725 5.94267 [{a(n+3)-9*a(n+2)+11*a(n+1),a(0)=1,a(1)=2,a(2)=10} ogf] A147725 6.18038 [-(-17+28*f(x))*(11*f(x)*x^2-9*f(x)*x-3*x^2+f(x)+7*x-1) ogf] A147741 3.6863 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A147748 12.0860 [(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A147748 15.3093 [2*(1-4*x+5*x^2)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A147748 6.27997 [{a(n+3)-5*a(n+2)+5*a(n+1),a(0)=1,a(1)=2,a(2)=6} ogf] A147748 6.60367 [-(f(x)+1)*(5*f(x)*x^2-5*f(x)*x-x^2+f(x)+3*x-1) ogf] A147757 4.26885 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=11,a(2)=101,a(3)=1001,a(4)=10101} ogf] A147757 5.33607 [(91*f(x)+10)*(-100*x^4+10*f(x)*x^2-11*f(x)*x+10*x^2+f(x)-1) ogf] A147757 7.05701 [(11-40*x+110*x^2+400*x^3-3300*x^4+2000*x^5)/(x-1)/(10*x-1)/(100*x^4-10*x^2+1) lgdogf] A147757 8.95082 [(100*x^4-10*x^2+1)/(10*x-1)/(x-1) ogf] A147758 10.8846 [(3-8*x+16*x^3-36*x^4+16*x^5+6*x^2)/(x-1)/(2*x-1)/(4*x^4-2*x^2+1) lgdogf] A147758 12.4645 [(4*x^4-2*x^2+1)/(2*x-1)/(x-1) ogf] A147758 5.59431 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=1,a(1)=3,a(2)=5,a(3)=9,a(4)=21} ogf] A147758 7.03441 [-(3*f(x)+2)*(-4*x^4+2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-1) ogf] A147759 10.0900 [1/(10*x-1)/(x-1)/(10*x^2+1) ogf] A147759 10.2526 [-(-11+40*x-330*x^2+400*x^3)/(x-1)/(10*x-1)/(10*x^2+1) lgdogf] A147759 4.08052 [-(918191*f(x)+38400)*(100*f(x)*x^4-110*f(x)*x^3+20*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A147766 26.6792 [-2*x/(x-1) ogf_with_Euler_transform] A147783 9.51851 [-(x^9+x^7+x^5+x^4+x^3+x)/(x^10-1) ogf_with_Euler_transform] A147784 9.01161 [-(x^11+x^8+x^7+x^5+x^3+x^2)/(x^12-1) ogf_with_Euler_transform] A147816 11.1122 [1/(1000*x-1)/(100*x-1) ogf] A147816 11.7371 [-100*(-11+2000*x)/(1000*x-1)/(100*x-1) lgdogf] A147816 4.74583 [(11111*f(x)+3530)*(100000*f(x)*x^2-1100*f(x)*x+f(x)-1) ogf] A147816 4.89894 [{-a(n+2)+1100*a(n+1)-100000*a(n),a(0)=1,a(1)=1100} ogf] A147816 8.74528 [-1/200000*(-1-1100*x+(1+2200*x+810000*x^2)^(1/2))/x revogf] A147818 16.2507 [-(5*x^2+4*x+5)/(x-1)/(x^2+1) ogf] A147818 19.4536 [-(9+8*x^3+5*x^4+6*x^2)/(x-1)/(x^2+1)/(5*x^2+4*x+5) lgdogf] A147818 8.61994 [(53*f(x)-1561)*(f(x)*x^3-f(x)*x^2+f(x)*x+5*x^2-f(x)+4*x+5) ogf] A147818 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=5,a(1)=9,a(2)=9} ogf] A147832 14.5051 [2*x*(6*x+1)/(x+1)/(x-1)^2 ogf] A147832 23.6921 [-(7+9*x+12*x^2)/(x-1)/(6*x+1)/(x+1) lgdogf] A147832 7.37981 [(553*f(x)+10004)*(f(x)*x^3-f(x)*x^2-f(x)*x-12*x^2+f(x)-2*x) ogf] A147832 7.51159 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=14} ogf] A147833 10.0896 [(4*x^2+x-1)/(12*x^3+4*x^2+x-1) ogf] A147833 11.6800 [-12*x^2*(-3+2*x+4*x^2)/(4*x^2+x-1)/(12*x^3+4*x^2+x-1) lgdogf] A147833 5.63563 [{a(n+3)-a(n+2)-4*a(n+1)-12*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A147833 6.95061 [-12*f(x)*x^3-4*f(x)*x^2-f(x)*x+4*x^2+f(x)+x-1 ogf] A147834 19.1653 [-(1+8*x+36*x^2)/(4*x^2-1+x+12*x^3) lgdogf] A147834 20.5193 [-1/(12*x^3+4*x^2+x-1) ogf] A147834 6.90031 [{a(n+3)-a(n+2)-4*a(n+1)-12*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A147834 7.356 [-(59*f(x)-54)*(12*f(x)*x^3+4*f(x)*x^2+f(x)*x-f(x)+1) ogf] A147837 13.4635 [-(2*x-1)/(5*x^2-7*x+1) ogf] A147837 14.1353 [-1/2*(-1-7*x+(1+6*x+29*x^2)^(1/2))/(2+5*x) revogf] A147837 15.6232 [-5*(1-2*x+2*x^2)/(2*x-1)/(5*x^2-7*x+1) lgdogf] A147837 6.73178 [-(31*f(x)-6)*(5*f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A147837 7.38852 [{a(n+2)-7*a(n+1)+5*a(n),a(0)=1,a(1)=5} ogf] A147838 12.9815 [-(2*x-1)/(6*x^2-8*x+1) ogf] A147838 13.6234 [-1/4*(-1-8*x+(1+8*x+40*x^2)^(1/2))/(1+3*x) revogf] A147838 15.0575 [-6*(1-2*x+2*x^2)/(2*x-1)/(6*x^2-8*x+1) lgdogf] A147838 6.49075 [-(43*f(x)-7)*(6*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A147838 7.12399 [{a(n+2)-8*a(n+1)+6*a(n),a(0)=1,a(1)=6} ogf] A147839 13.6472 [-(2*x-1)/(7*x^2-9*x+1) ogf] A147839 14.0033 [-1/2*(-1-9*x+(1+10*x+53*x^2)^(1/2))/(2+7*x) revogf] A147839 15.8458 [-7*(1-2*x+2*x^2)/(2*x-1)/(7*x^2-9*x+1) lgdogf] A147839 6.82361 [-(57*f(x)-8)*(7*f(x)*x^2-9*f(x)*x+f(x)+2*x-1) ogf] A147839 7.48933 [{a(n+2)-9*a(n+1)+7*a(n),a(0)=1,a(1)=7} ogf] A147840 12.4178 [-(2*x-1)/(8*x^2-10*x+1) ogf] A147840 12.7146 [-1/4*(-10*x-1+(1+12*x+68*x^2)^(1/2))/(4*x+1) revogf] A147840 14.3447 [-8*(1-2*x+2*x^2)/(2*x-1)/(8*x^2-10*x+1) lgdogf] A147840 6.27716 [-(73*f(x)-9)*(8*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A147840 6.88218 [{a(n+2)-10*a(n+1)+8*a(n),a(0)=1,a(1)=8} ogf] A147841 11.3730 [-(2*x-1)/(9*x^2-11*x+1) ogf] A147841 11.6272 [-1/2*(-1-11*x+(1+14*x+85*x^2)^(1/2))/(2+9*x) revogf] A147841 13.1178 [-9*(1-2*x+2*x^2)/(2*x-1)/(9*x^2-11*x+1) lgdogf] A147841 6.30310 [{a(n+2)-11*a(n+1)+9*a(n),a(0)=1,a(1)=9} ogf] A147841 9.9177 [-(91*f(x)-10)*(9*f(x)*x^2-11*f(x)*x+f(x)+2*x-1) ogf] A147851 16.6294 [-2*x^2*(-5*x^2-4*x+8*x^5-3)/(1-x^3-x^4-x^5+x^8) lgdogf] A147851 6.46952 [1/(x^8-x^5-x^4-x^3+1)^2 ogf] A147852 6.98075 [-2*(1-x+8*x^7-x^2-6*x^3+4*x^4+3*x^5+2*x^9+4*x^6+6*x^8)/(x+1)/(x^3+x^2+x-1)/(2*x^6+4*x^4-x^2-2*x+1) lgdogf] A147852 7.92343 [-x*(x+1)*(x^3+x^2+x-1)/(2*x^6+4*x^4-x^2-2*x+1) ogf] A147874 14.1727 [-x*(7*x+3)/(x-1)^3 ogf] A147874 33.1815 [-2*(7*x+8)/(7*x+3)/(x-1) lgdogf] A147874 6.96417 [(44700*f(x)-142753)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+3*x) ogf] A147874 7.21288 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=16} ogf] A147875 14.4661 [-x*(x+4)/(x-1)^3 ogf] A147875 38.7120 [-(13+2*x)/(x+4)/(x-1) lgdogf] A147875 7.36219 [(725*f(x)-1647)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x) ogf] A147875 7.36220 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=13} ogf] A147957 12.3654 [-(6*x-1)/(34*x^2-12*x+1) ogf] A147957 13.2369 [-2*(3-34*x+102*x^2)/(6*x-1)/(34*x^2-12*x+1) lgdogf] A147957 6.18268 [-(55*f(x)+269)*(34*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A147957 6.91871 [{a(n+2)-12*a(n+1)+34*a(n),a(0)=1,a(1)=6} ogf] A147958 13.0027 [-(7*x-1)/(47*x^2-14*x+1) ogf] A147958 14.6133 [-(7-94*x+329*x^2)/(7*x-1)/(47*x^2-14*x+1) lgdogf] A147958 5.20997 [x*(20*x^4+10*x^2+1)*(1+6*x^2+4*x^4)/(1+7*x+32*x^10+18*x^2+112*x^3+280*x^6+112*x^4+588*x^5+240*x^8+560*x^9+1120*x^7) revogf] A147958 6.64271 [-(4*f(x)+45)*(47*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A147958 7.27535 [{a(n+2)-14*a(n+1)+47*a(n),a(0)=1,a(1)=7} ogf] A147959 12.1536 [-(8*x-1)/(62*x^2-16*x+1) ogf] A147959 13.0103 [-4*(2-31*x+124*x^2)/(8*x-1)/(62*x^2-16*x+1) lgdogf] A147959 14.3447 [-1/4*(-1-16*x+(1+8*x^2)^(1/2))/(4+31*x) revogf] A147959 6.07682 [-(97*f(x)+927)*(62*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A147959 6.80025 [{a(n+2)-16*a(n+1)+62*a(n),a(0)=1,a(1)=8} ogf] A147960 12.2789 [-(9*x-1)/(79*x^2-18*x+1) ogf] A147960 13.4603 [-(9-158*x+711*x^2)/(9*x-1)/(79*x^2-18*x+1) lgdogf] A147960 14.4957 [-1/2*(-18*x-1+(1+8*x^2)^(1/2))/(79*x+9) revogf] A147960 6.27294 [-(4*f(x)+77)*(79*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A147960 6.87036 [{a(n+2)-18*a(n+1)+79*a(n),a(0)=1,a(1)=9} ogf] A147961 12.5566 [-(6*x-1)/(33*x^2-12*x+1) ogf] A147961 13.7661 [-6*(1-11*x+33*x^2)/(6*x-1)/(33*x^2-12*x+1) lgdogf] A147961 6.27829 [-(37*f(x)+107)*(33*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A147961 7.02570 [{a(n+2)-12*a(n+1)+33*a(n),a(0)=1,a(1)=6} ogf] A147962 14.6396 [-(7*x-1)/(46*x^2-14*x+1) ogf] A147962 14.7595 [-(7-92*x+322*x^2)/(7*x-1)/(46*x^2-14*x+1) lgdogf] A147962 7.47894 [-(6*f(x)+43)*(46*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A147962 8.19121 [{a(n+2)-14*a(n+1)+46*a(n),a(0)=1,a(1)=7} ogf] A147973 24.1981 [-(-1+7*x^2)/(x-1)/(7*x^2-7*x+2) lgdogf] A147973 5.24269 [-(14*f(x)+45)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-14*x^2-f(x)+14*x-4) ogf] A147973 5.57036 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-4,a(1)=2,a(2)=4} ogf] A147973 9.90286 [2*(7*x^2-7*x+2)/(x-1)^3 ogf] A147974 14.6924 [-2*(-2+x+9*x^3+4*x^2)/(x-1)/(18*x^3-23*x^2+16*x-5) lgdogf] A147974 4.36895 [-(2*f(x)-45)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+36*x^3-4*f(x)*x-46*x^2+f(x)+32*x-10) ogf] A147974 7.87490 [-2*(18*x^3-23*x^2+16*x-5)/(x-1)^4 ogf] A147975 4.47119 [(5*f(x)-73)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-38*x^3-10*f(x)*x+48*x^2+f(x)-18*x+2) ogf] A147975 6.11396 [-(1-22*x+456*x^6-1152*x^5+168*x^2-616*x^3+1183*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(-1+4*x)/(19*x^3-24*x^2+9*x-1) lgdogf] A147975 7.71812 [2*(19*x^3-24*x^2+9*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A147976 5.58105 [(226*x^4-350*x^3+185*x^2-40*x+3)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A147977 4.40774 [(1524*x^5-2700*x^4+1755*x^3-530*x^2+75*x-4)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A147978 3.46778 [(11628*x^6-22736*x^5+17059*x^4-6370*x^3+1260*x^2-126*x+5)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A147979 3.04158 [2*(49752*x^7-105056*x^6+87794*x^5-38129*x^4+9380*x^3-1316*x^2+98*x-3)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A147997 7.60216 [-(x+1)*(x^3+x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A147997 7.88144 [-(1+5*x^6+4*x^5-6*x^3+x^8+2*x^7-2*x^4+x^2)/(x-1)/(1+x)/(x^2+x+1)/(x^2+x-1)/(x^3+x-1) lgdogf] A148092 18.6356 [1+x+1/2*x^2+1/6*x^3+1/24*x^4+1/120*x^5 lgdegf] A151019 11.2396 [10*f(x)^2*x^2-2*f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A151019 35.9796 [x*(1+2*x)/(1+4*x+10*x^2) revogf] A151019 4.27655 [{(120*n+240)*a(n+1)+(-24*n-48)*a(n+2)+(-5*n-25)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=10,a(3)=32} ogf] A151090 11.2144 [-5*f(x)^2*x^2+f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A151090 4.25374 [{(20*n+40)*a(n+1)+(16*n+62)*a(n+2)+(-9*n-39)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=3,a(2)=11,a(3)=43} ogf] A151090 40.4917 [x*(1+x)/(1+4*x+5*x^2) revogf] A151162 10.6481 [-12*f(x)^2*x^2+3*f(x)^2*x-6*f(x)*x+f(x)-1 ogf] A151162 34.0570 [x*(1+3*x)/(1+6*x+12*x^2) revogf] A151162 4.09139 [{(48*n+96)*a(n+1)+(-12*n-24)*a(n+2)+(-4*n-20)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=3,a(2)=12,a(3)=45} ogf] A151241 10.8603 [-15*f(x)^2*x^2+3*f(x)^2*x-6*f(x)*x+f(x)-1 ogf] A151241 34.7531 [x*(1+3*x)/(1+6*x+15*x^2) revogf] A151241 4.13222 [{(120*n+240)*a(n+1)+(-24*n-48)*a(n+2)+(-5*n-25)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=3,a(2)=15,a(3)=63} ogf] A151251 10.9856 [10*f(x)^2*x^2-2*f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A151251 35.1603 [x*(1+2*x)/(1+6*x+10*x^2) revogf] A151251 4.22108 [{(20*n+40)*a(n+1)+(16*n+62)*a(n+2)+(-9*n-39)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=4,a(2)=18,a(3)=84} ogf] A151253 11.1109 [-15*f(x)^2*x^2+3*f(x)^2*x-7*f(x)*x+f(x)-1 ogf] A151253 35.5676 [x*(1+3*x)/(1+7*x+15*x^2) revogf] A151253 4.26924 [{(55*n+110)*a(n+1)+(-n+13)*a(n+2)+(-7*n-32)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=4,a(2)=19,a(3)=91} ogf] A151254 11.1109 [-20*f(x)^2*x^2+4*f(x)^2*x-8*f(x)*x+f(x)-1 ogf] A151254 35.5676 [x*(1+4*x)/(1+8*x+20*x^2) revogf] A151254 4.24831 [{(-80*n-160)*a(n+1)+(16*n+32)*a(n+2)+(5*n+25)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=4,a(2)=20,a(3)=96} ogf] A151281 11.8183 [-6*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A151281 38.9683 [x*(1+2*x)/(1+4*x+6*x^2) revogf] A151281 4.52740 [{(24*n+48)*a(n+1)+(-8*n-16)*a(n+2)+(-3*n-15)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=16} ogf] A151282 12.103 [4*f(x)^2*x^2-f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A151282 4.63646 [{(28*n+56)*a(n+1)+(n+14)*a(n+2)+(-6*n-27)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=18} ogf] A151282 43.7297 [x*(1+x)/(1+3*x+4*x^2) revogf] A151292 11.3382 [-5*f(x)^2*x^2+f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A151292 4.32196 [{(55*n+110)*a(n+1)+(-n+13)*a(n+2)+(-7*n-32)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=23} ogf] A151292 40.9385 [x*(x+1)/(1+3*x+5*x^2) revogf] A151318 11.6199 [10*f(x)^2*x^2-2*f(x)^2*x+5*f(x)*x-f(x)+1 ogf] A151318 37.2155 [x*(1+2*x)/(1+5*x+10*x^2) revogf] A151318 5.88543 [{(-15*n-30)*a(n+1)+(-2*n-10)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=3,a(2)=13} ogf] A151323 17.5286 [x*(x+1)*(2*x^2+2*x+1)/(1+6*x+18*x^2+24*x^3+12*x^4) revogf] A151323 5.77572 [{(-12*n-24)*a(n+1)+(-4*n-14)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=3,a(2)=14} ogf] A151332 4.83695 [{(128*n^3+576*n^2+856*n+420)*a(n+1)+(-2*n^3-15*n^2-37*n-30)*a(n+2),a(0)=1,a(1)=2} ogf] A151341 3.92407 [{(48*n^3+288*n^2+564*n+360)*a(n+1)+(8*n^3+72*n^2+214*n+210)*a(n+2)+(-n^3-12*n^2-47*n-60)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A151366 3.73209 [{(36*n^2+180*n+216)*a(n+1)+(24*n^2+180*n+324)*a(n+2)+(n^2+7*n+12)*a(n+3)+(-n^2-15*n-56)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=2} ogf] A151374 19.1458 [-1+f(x)-2*f(x)^2*x ogf] A151374 23.4020 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdogf] A151374 7.47598 [{(-8*n-12)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=2} ogf] A151374 70.2060 [-x*(-1+2*x) revogf] A151379 4.04750 [{(-64*n^3-384*n^2-752*n-480)*a(n+1)+(-8*n^2-44*n-60)*a(n+2)+(n^3+11*n^2+40*n+48)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A151383 18.9986 [-1+f(x)-3*f(x)^2*x ogf] A151383 21.9022 [6/(1-12*x)^(1/2)/(1+(1-12*x)^(1/2)) lgdogf] A151383 69.6889 [-x*(-1+3*x) revogf] A151383 7.34851 [{(-12*n-18)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=3} ogf] A151392 3.66244 [{(-16*n^2-48*n-36)*a(n+1)+(n^2+5*n+6)*a(n+2),a(0)=1,a(1)=2} ogf] A151392 9.00960 [hypergeom([1/2,1/2],[2],16*x) ogf] A151403 18.7869 [-1+f(x)-4*f(x)^2*x ogf] A151403 21.6596 [8/(1-16*x)^(1/2)/(1+(1-16*x)^(1/2)) lgdogf] A151403 68.9169 [-x*(-1+4*x) revogf] A151403 7.26664 [{(-16*n-24)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=4} ogf] A151410 3.80947 [{(48*n^3+288*n^2+564*n+360)*a(n+1)+(8*n^3+76*n^2+236*n+240)*a(n+2)+(-n^3-11*n^2-40*n-48)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A151422 18.071 [-(f(x)-1)^3 ogf] A151435 17.1558 [-(f(x)-1)^3 ogf] A151483 11.2157 [-16*f(x)^2*x^3-4*f(x)*x^2+8*f(x)*x-f(x)-7*x+1 ogf] A151483 19.2842 [-1/2*(-1-8*x+(-(4*x-1)^3)^(1/2))/(16*x^2+7+4*x) revogf] A151483 6.01103 [{(-12*n-24)*a(n+1)+(-4*n-12)*a(n+2)+(n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A151542 14.5608 [3*x*(3*x-4)/(x-1)^3 ogf] A151542 33.3140 [-3*(-3+2*x)/(x-1)/(3*x-4) lgdogf] A151542 7.28039 [-(67*f(x)-4095)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+12*x) ogf] A151542 7.47367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=27} ogf] A151556 3.55794 [(x^10+69*x^9+282*x^8+2664*x^7+2957*x^6+7494*x^5+2957*x^4+2664*x^3+282*x^2+69*x+1)/(x+1)^5/(x-1)^6 ogf] A151559 17.8566 [-(f(x)-1)^3 ogf] A151560 15.9939 [-(f(x)-1)^3 ogf] A151561 8.60459 [(f(x)-1)^2*(-796544*x^5+f(x)-1) ogf] A151564 3.85957 [30*x^14*(128*x^2+17*x+128) ogf_with_Euler_transform] A151575 12.3591 [2*f(x)*x^2-f(x)*x-f(x)+x+1 ogf] A151575 17.3027 [-(x+1)/(2*x+1)/(x-1) ogf] A151575 22.2930 [1/2/(2*x+1)*(x-1+(9*x^2+2*x+1)^(1/2)) revogf] A151575 9.61262 [{-a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=0} ogf] A151617 8.99109 [-f(x)*(11*f(x)*x^2+1936*x^3+2*f(x)*x+176*x^2-f(x)+18*x+2) ogf] A151666 7.79853 [-1/(x-1)/(x^2+1)/(x^8+1)/(x^32+1) ogf] A151670 12.1585 [2*(1+12*x^5+124*x^30+60*x^29+52*x^25+25*x^24+5*x^4)/(2*x+1)/(2*x^5+1)/(2*x^25+1) lgdogf] A151670 7.71227 [(2*x+1)*(2*x^5+1)*(2*x^25+1) ogf] A151671 12.2166 [3*(1+18*x^5+279*x^30+90*x^29+78*x^25+25*x^24+5*x^4)/(3*x+1)/(3*x^5+1)/(3*x^25+1) lgdogf] A151671 7.66920 [(3*x^5+1)*(3*x+1)*(3*x^25+1) ogf] A151674 11.8129 [4*(1+24*x^5+496*x^30+120*x^29+104*x^25+25*x^24+5*x^4)/(4*x+1)/(4*x^5+1)/(4*x^25+1) lgdogf] A151674 7.70279 [(4*x+1)*(4*x^5+1)*(4*x^25+1) ogf] A151675 10.8314 [(3*x^2-5*x+8)/(x-1)^4 ogf] A151675 20.3531 [-3*(9-3*x+2*x^2)/(x-1)/(3*x^2-5*x+8) lgdogf] A151675 5.30047 [(4493664*f(x)+5354051)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+5*x-8) ogf] A151695 15.6517 [-(f(x)-1)^3 ogf] A151696 2.75447 [(f(x)-1)*(-26679948240000000*x^6+881635496473*f(x)*x^2-44717833600*f(x)*x-881635496473*x^2+174845000*f(x)+44717833600*x-174845000) ogf] A151697 14.983 [-(f(x)-1)^3 ogf] A151698 7.6521 [(f(x)-1)^2*(-27393120*x^4+f(x)-1) ogf] A151746 10.9076 [-(4*x^3-5*x^2-2*x+1)/(4*x-1)/(x-1)^2 ogf] A151746 12.5354 [-4*(-1+6*x+4*x^3-12*x^2)/(x-1)/(-1+4*x)/(4*x^3-5*x^2-2*x+1) lgdogf] A151746 5.61657 [{a(n+4)-6*a(n+3)+9*a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=32} ogf] A151746 6.22 [(11*f(x)+31)*(4*f(x)*x^3-9*f(x)*x^2+4*x^3+6*f(x)*x-5*x^2-f(x)-2*x+1) ogf] A151754 4.55124 [-(37*f(x)+65)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2+x^3-3*f(x)*x-x^2+f(x)-1) ogf] A151754 8.66607 [-(x^3-x^2-1)/(2*x-1)/(x-1)/(x^2+1) ogf] A151754 9.37907 [-(3-4*x+2*x^6-4*x^5-2*x^3+3*x^2)/(x-1)/(2*x-1)/(x^2+1)/(x^3-x^2-1) lgdogf] A151771 18.7118 [-(f(x)-1)^3 ogf] A151794 15.3696 [2*(x^2-x-1)/(x+1)/(2*x-1) ogf] A151794 21.6347 [(2+2*x+3*x^2)/(2*x-1)/(x+1)/(x^2-x-1) lgdogf] A151794 7.98617 [{a(n+3)-a(n+2)-2*a(n+1),a(0)=2,a(1)=4,a(2)=6} ogf] A151794 8.22817 [-(17*f(x)+30)*(2*f(x)*x^2+f(x)*x-2*x^2-f(x)+2*x+2) ogf] A151798 11.3972 [{-a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=4} ogf] A151798 12.1186 [-(f(x)-1)*(f(x)*x+2*x^2-f(x)+x+1) ogf] A151798 21.2749 [-(2*x^2+x+1)/(x-1) ogf] A151798 29.3397 [2*(-1-2*x+x^2)/(x-1)/(2*x^2+x+1) lgdogf] A151816 4.25747 [{(-16*n^3-88*n^2-156*n-90)*a(n+1)+(8*n^2+38*n+45)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=1,a(2)=15/2} egf] A151817 16.358 [-4*f(x)^2*x+f(x)^2-4 egf] A151817 55.7179 [-1/4*x*(-2+x) revegf] A151817 65.8484 [-2/(-1+4*x) lgdegf] A151817 8.36489 [{(-4*n-6)*a(n+1)+a(n+2),a(0)=2,a(1)=4} ogf] A151821 10.7809 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=4} ogf] A151821 17.2494 [-2*f(x)*x+f(x)-2*x-1 ogf] A151821 20.9791 [-(2*x+1)/(2*x-1) ogf] A151821 21.7783 [-1/2*x-1/4+1/4*(4*x^2+12*x+1)^(1/2) revogf] A151821 42.3466 [-4/(2*x-1)/(2*x+1) lgdogf] A151838 21.0511 [(f(x)-1)^2 egf] A151839 20.8273 [(f(x)-1)^2 ogf] A151842 11.7996 [(x^2+1)*(x+1)*x/(x-1)^2/(x^2+x+1)^2 ogf] A151842 24.5898 [[-x^3+2*x^2+1] ogf_with_Euler_transform] A151842 9.36961 [-(1+2*x+3*x^5+4*x^4+5*x^3+9*x^2)/(-1+x)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A151876 16.2349 [-(f(x)-1)^3 ogf] A151877 3.99482 [(f(x)-1)^2*(-2016252*x^5+9137*f(x)*x^2-2562*f(x)*x-9137*x^2+126*f(x)+2562*x-126) ogf] A151887 27.7758 [5/3/x*(-1+(1+12*x^2)^(1/2)) lgdogf] A151889 10.4824 [-(x+1)*(x^5-x^4+6*x^3+2*x^2+13*x+3)/(x^3+3*x+2)/(x^4+4*x^2-1) lgdogf] A151889 11.4567 [-(x^3+3*x+2)/(x^4+4*x^2-1) ogf] A151889 6.5303 [-(220*f(x)-51)*(f(x)*x^4+4*f(x)*x^2+x^3-f(x)+3*x+2) ogf] A151898 10.3987 [-(2*x^11-9*x^5-x^4-x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A151899 11.3102 [-(1+2*x+5*x^6+6*x^5+6*x^8+6*x^2+4*x^7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(2*x^3+x^2+x+1) lgdogf] A151899 12.6731 [-x^2*(2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A151910 7.32803 [-(2*x^7+21*x^6+21*x^5+23*x^4+21*x^3+23*x^2+21*x+21)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A151912 11.2605 [-4*(-1-8*x+8*x^4+4*x^3+18*x^2)/(4*x^2-2*x+1)/(8*x^3+8*x-1) lgdogf] A151912 4.49969 [(504*f(x)+2495)*(16*f(x)*x^4-16*f(x)*x^3+12*f(x)*x^2+8*x^3-4*f(x)*x+f(x)+8*x-1) ogf] A151912 8.56190 [-(8*x^3+8*x-1)/(4*x^2-2*x+1)^2 ogf] A151936 20.3631 [(f(x)-1)^2 ogf] A151937 19.8056 [(f(x)-1)^2 ogf] A151938 16.4282 [-(f(x)-1)^3 ogf] A151939 17.8566 [-(f(x)-1)^3 ogf] A151940 6.17236 [(f(x)-1)^2*(404838*x^5+125*f(x)*x-3*f(x)-125*x+3) ogf] A151946 7.40344 [(-827+766*x-1139*x^2+1432*x^3-1806*x^4+888*x^5)/(x-1)/(222*x^5-232*x^4+252*x^3-383*x^2-76*x+903) lgdogf] A151946 8.43471 [-9*(222*x^5-232*x^4+252*x^3-383*x^2-76*x+903)/(x-1) ogf] A151947 9.12839 [99*(2+12*x-9*x^2-2*x^3-2*x^4+4*x^5)/(x-1)/(99*x^5+99*x^4+99*x^3-594*x^2-85*x-113) lgdogf] A151947 9.80369 [(99*x^5+99*x^4+99*x^3-594*x^2-85*x-113)/(x-1) ogf] A151951 10.1195 [3*(786*x^4-150*x^3-2028*x^2-295*x-371)/(x-1) ogf] A151951 5.58838 [(25043985886573*f(x)+419261909734081305)*(-2358*x^4+450*x^3+f(x)*x+6084*x^2-f(x)+885*x+1113) ogf] A151951 6.08815 [{-a(n+5)+a(n+4),a(0)=1113,a(1)=1998,a(2)=8082,a(3)=8532,a(4)=6174} ogf] A151951 9.17609 [6*(111+676*x-574*x^3-263*x^2+393*x^4)/(x-1)/(786*x^4-150*x^3-2028*x^2-295*x-371) lgdogf] A151955 9.24249 [33*(2+12*x-9*x^2-2*x^3-2*x^4+4*x^5)/(x-1)/(33*x^5+33*x^4+33*x^3-198*x^2-32*x-34) lgdogf] A151955 9.80369 [3*(33*x^5+33*x^4+33*x^3-198*x^2-32*x-34)/(x-1) ogf] A151956 11.1052 [3*(116+716*x-751*x^2+262*x^3)/(x-1)/(393*x^3-1074*x^2-181*x-167) lgdogf] A151956 11.1598 [6*(393*x^3-1074*x^2-181*x-167)/(x-1) ogf] A151956 5.99492 [-(3189870043*f(x)+63859060218066)*(-2358*x^3+f(x)*x+6444*x^2-f(x)+1086*x+1002) ogf] A151956 6.71653 [{-a(n+4)+a(n+3),a(0)=1002,a(1)=2088,a(2)=8532,a(3)=6174} ogf] A151961 16.8697 [-3*(2*x-1)/(x^2-4*x+1) ogf] A151961 23.3158 [-2*(1-x+x^2)/(2*x-1)/(x^2-4*x+1) lgdogf] A151961 8.34216 [-(15*f(x)-29)*(f(x)*x^2-4*f(x)*x+f(x)+6*x-3) ogf] A151961 9.25777 [{a(n+2)-4*a(n+1)+a(n),a(0)=3,a(1)=6} ogf] A151971 10.5283 [-(7+23*x+12*x^6+30*x^5+38*x^4+25*x^3+33*x^2)/(x-1)/(x+1)/(6*x^3+8*x^2+6*x+1)/(x^2+1) lgdogf] A151971 12.2830 [x*(6*x^3+8*x^2+6*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A151972 10.4240 [-(6+14*x+10*x^6+17*x^5+29*x^4+19*x^3+25*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^3+4*x^2+5*x+1) lgdogf] A151972 12.1637 [x*(5*x^3+4*x^2+5*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A151973 10.3880 [-(9+23*x+16*x^6+29*x^5+47*x^4+28*x^3+40*x^2)/(x-1)/(x+1)/(x^2+1)/(8*x^3+7*x^2+8*x+1) lgdogf] A151973 12.1209 [x*(8*x^3+7*x^2+8*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A151974 53.8872 [[6] ogf_with_Euler_transform] A151974 6.79818 [{(n+1)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=15} ogf] A151974 77.4015 [-6/(-1+x) lgdogf] A151974 9.68508 [15*x/(x-1)^6 ogf] A151975 8.16884 [-(6+14*x+10*x^6+17*x^5+29*x^4+19*x^3+25*x^2)/(x-1)/(x+1)/(x^2+1)/(5*x^3+4*x^2+5*x+1) lgdogf] A151975 9.00606 [x^7/(2*x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A151977 15.2617 [x*(15*x+1)/(x+1)/(x-1)^2 ogf] A151977 22.9735 [-2*(8+9*x+15*x^2)/(x-1)/(15*x+1)/(x+1) lgdogf] A151977 7.56561 [(49472*f(x)+856337)*(f(x)*x^3-f(x)*x^2-f(x)*x-15*x^2+f(x)-x) ogf] A151977 7.90336 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A151978 15.0569 [x*(16*x+1)/(x+1)/(x-1)^2 ogf] A151978 22.6624 [-(17+19*x+32*x^2)/(x-1)/(16*x+1)/(x+1) lgdogf] A151978 7.46409 [(32113*f(x)+587257)*(f(x)*x^3-f(x)*x^2-f(x)*x-16*x^2+f(x)-x) ogf] A151978 7.79731 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=17} ogf] A151979 15.0569 [x*(18*x+1)/(x+1)/(x-1)^2 ogf] A151979 22.6624 [-(19+21*x+36*x^2)/(x-1)/(18*x+1)/(x+1) lgdogf] A151979 7.40084 [(51661*f(x)+1046188)*(f(x)*x^3-f(x)*x^2-f(x)*x-18*x^2+f(x)-x) ogf] A151979 7.79731 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=19} ogf] A151980 10.5283 [-(5+27*x+8*x^6+37*x^5+31*x^4+24*x^3+28*x^2)/(x-1)/(x+1)/(x^2+1)/(4*x^3+11*x^2+4*x+1) lgdogf] A151980 12.1170 [x*(4*x^3+11*x^2+4*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A151981 11.5972 [x*(15*x^3+17*x^2+15*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A151981 9.76692 [-2*(8+25*x+15*x^6+33*x^5+46*x^4+26*x^3+39*x^2)/(x-1)/(x+1)/(1+x^2)/(15*x^3+17*x^2+15*x+1) lgdogf] A151983 14.9910 [x*(31*x+1)/(x+1)/(x-1)^2 ogf] A151983 21.4350 [-2*(16+17*x+31*x^2)/(x-1)/(31*x+1)/(x+1) lgdogf] A151983 7.24563 [(918656*f(x)+30442529)*(f(x)*x^3-f(x)*x^2-f(x)*x-31*x^2+f(x)-x) ogf] A151983 7.76318 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=32} ogf] A151984 14.4340 [x*(63*x+1)/(x+1)/(x-1)^2 ogf] A151984 20.1326 [-2*(32+33*x+63*x^2)/(-1+x)/(63*x+1)/(x+1) lgdogf] A151984 6.75139 [(15732992*f(x)+1023676481)*(f(x)*x^3-f(x)*x^2-f(x)*x-63*x^2+f(x)-x) ogf] A151984 7.47475 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=64} ogf] A151988 10.5011 [x*(x^4+1)*(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A151988 20.9568 [x^9-x^7-x^5+x^3+(2*x-2)/(x-1) ogf_with_Euler_transform] A151989 10.9397 [-(126+1246*x+x^4+246*x^3+1506*x^2)/(x-1)/(x^4+121*x^3+381*x^2+121*x+1) lgdogf] A151989 7.71798 [-(x^4+121*x^3+381*x^2+121*x+1)/(x-1)^5 ogf] A151997 2.56917 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=9,a(1)=169,a(2)=12769} ogf] A151997 4.37454 [-(4000*x^2-830*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A152011 12.6334 [(3*x^2-1)/(x+1)/(3*x-1) ogf] A152011 16.8335 [2*(1+3*x^2)/(-1+3*x)/(x+1)/(3*x^2-1) lgdogf] A152011 6.06901 [{-a(n+3)+2*a(n+2)+3*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A152011 9.23938 [-3*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-1 ogf] A152015 10.4794 [x*(x^2+6*x-1)/(x-1)^4 ogf] A152015 22.2814 [-2*(1+10*x+x^2)/(-1+x)/(x^2+6*x-1) lgdogf] A152015 3.86361 [{(n+3)*a(n+4)+(-12-7*n)*a(n+3)+(25+5*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=-1,a(2)=2,a(3)=15} ogf] A152015 5.27583 [-(38448*f(x)+74263)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-6*x^2+f(x)+x) ogf] A152016 15.1020 [-(1+36*x+2*x^3+21*x^2)/(x-1)/(x^3+6*x^2+6*x-1) lgdogf] A152016 3.75265 [{(-35*n^2-129*n-118)*a(n+1)+(-26*n^2-384*n-412)*a(n+2)+(61*n^2+129*n+14)*a(n+3),a(0)=0,a(1)=-2,a(2)=2} ogf] A152016 7.54566 [-2*x*(x^3+6*x^2+6*x-1)/(x-1)^5 ogf] A152017 11.1068 [-2*(1+x^4+116*x+186*x^2+56*x^3)/(x-1)/(x^4+36*x^3+66*x^2+20*x-3) lgdogf] A152017 6.46580 [x*(x^4+36*x^3+66*x^2+20*x-3)/(x-1)^6 ogf] A152018 5.68280 [-9*(x^10+x^9+9*x^8+2*x^7+22*x^6+6*x^5+22*x^4+2*x^3+9*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A152020 5.55919 [-(x^10+x^9+9*x^8+2*x^7+22*x^6+6*x^5+22*x^4+2*x^3+9*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A152029 17.2717 [-1+f(x)-2*f(x)^2*x egf] A152029 21.1085 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdegf] A152029 6.21176 [{(8*n^2+28*n+24)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=2} ogf] A152030 5.36713 [-2*x*(x^5+36*x^4+176*x^3+134*x^2+15*x-2)/(x-1)^7 ogf] A152030 8.29083 [-(1+358*x+2*x^5+113*x^4+848*x^3+1198*x^2)/(-1+x)/(x^5+36*x^4+176*x^3+134*x^2+15*x-2) lgdogf] A152031 11.7302 [-2*(31+146*x+156*x^2+26*x^3+x^4)/(x-1)/(x^4+16*x^3+66*x^2+32*x+5) lgdogf] A152031 6.96270 [x*(x^4+16*x^3+66*x^2+32*x+5)/(x-1)^6 ogf] A152032 11.7310 [-(x^2+x+1)/(x-1)/(x+1)^3 ogf] A152032 19.4674 [-(-1+4*x+2*x^3+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A152032 28.4795 [-x^2+3*x-1 ogf_with_Euler_transform] A152032 6.1689 [-(20*f(x)-9)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+x^2-f(x)+x+1) ogf] A152035 13.4491 [-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1 ogf] A152035 18.3896 [(2*x^2-1)/(2*x^2+2*x-1) ogf] A152035 25.3494 [2*(1+2*x^2)/(2*x^2-1)/(2*x^2+2*x-1) lgdogf] A152035 8.83424 [{-a(n+3)+2*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A152041 19.2614 [-3*(11+20*x+4*x^2)/(-1+x)/(4*x^2+13*x+4) lgdogf] A152041 3.86736 [{(12+4*n)*a(n+4)+(-15+9*n)*a(n+3)+(-69-9*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=4,a(2)=33,a(3)=129} ogf] A152041 9.30008 [-x*(4*x^2+13*x+4)/(x-1)^5 ogf] A152046 3.28184 [(2*x^2-1)/(x+1)/(2*x-1) ogf] A152046 9.34131 [(f(x)-1)*(2*f(x)*x^2+f(x)*x-2*x^2-f(x)+1) ogf] A152053 10.2123 [9*(3*x^2+4*x+3)/(x-1)^2/(x+1)^2 ogf] A152053 12.2017 [-2*(2+9*x+3*x^3+6*x^2)/(-1+x)/(x+1)/(3+3*x^2+4*x) lgdogf] A152053 5.14907 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=27,a(1)=36,a(2)=81} ogf] A152053 5.94893 [-(14*f(x)+159)*(f(x)*x^4-2*f(x)*x^2-27*x^2+f(x)-36*x-27) ogf] A152055 12.1536 [-(8*x-1)/(61*x^2-16*x+1) ogf] A152055 13.0103 [-2*(4-61*x+244*x^2)/(8*x-1)/(61*x^2-16*x+1) lgdogf] A152055 13.9861 [-1/2*(-1-16*x+(1+12*x^2)^(1/2))/(61*x+8) revogf] A152055 6.20893 [-(3*f(x)+29)*(61*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A152055 6.80025 [{a(n+2)-16*a(n+1)+61*a(n),a(0)=1,a(1)=8} ogf] A152056 11.2540 [-(9*x-1)/(78*x^2-18*x+1) ogf] A152056 12.0320 [-3*(3-52*x+234*x^2)/(9*x-1)/(78*x^2-18*x+1) lgdogf] A152056 5.74933 [-(2*f(x)+25)*(78*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A152056 6.29688 [{a(n+2)-18*a(n+1)+78*a(n),a(0)=1,a(1)=9} ogf] A152059 10.2431 [-2+9*x+(1-9*x+20*x^2)*f(x)+(x^2+16*x^4-8*x^3)*f(x)^2 lgdegf] A152059 3.35788 [{(4*n^4+18*n^3+20*n^2+6*n)*a(n)+(-n^3+12*n+13)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A152064 11.3499 [(23*x^2-16*x+5)/(x-1)^4 ogf] A152064 21.3781 [-2*(2-x+23*x^2)/(x-1)/(23*x^2-16*x+5) lgdogf] A152064 3.95022 [{(5*n+20)*a(n+4)+(-67-21*n)*a(n+3)+(80+39*n)*a(n+2)+(-69-23*n)*a(n+1),a(0)=5,a(1)=4,a(2)=9,a(3)=32} ogf] A152064 5.71521 [-(1000*f(x)+5239)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-23*x^2+f(x)+16*x-5) ogf] A152067 15.8482 [1/(x^2-x+1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A152067 8.06943 [-x^4*(-7*x^2-6*x-5+12*x^7)/(x^2-x+1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) lgdogf] A152083 11.8403 [(x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A152083 8.89137 [-(3+9*x+13*x^6+14*x^5+3*x^7+12*x^4+7*x^3+9*x^2)/(-1+x)/(x^3+3*x^2+2*x+1)/(x^2+1+x+x^4+x^3) lgdogf] A152090 13.0232 [(1+4*x^3+x^6)/(x^4-2*x^3-3*x^2+1)/(x^4-x^3-3*x^2-x+1) lgdogf] A152090 4.85495 [-(6*f(x)-7)*(f(x)*x^4-f(x)*x^3-x^4-3*f(x)*x^2+2*x^3-f(x)*x+3*x^2+f(x)-1) ogf] A152090 8.69096 [(x^4-2*x^3-3*x^2+1)/(x^4-x^3-3*x^2-x+1) ogf] A152094 4.21622 [(609*f(x)-514)*(64*f(x)*x^4-8*f(x)*x^3-64*x^4-18*f(x)*x^2+16*x^3-f(x)*x+18*x^2+f(x)-1) ogf] A152094 7.35386 [(64*x^4-16*x^3-18*x^2+1)/(64*x^4-8*x^3-18*x^2-x+1) ogf] A152094 7.55756 [(1-48*x^4+32*x^3+512*x^6-6*x^2)/(64*x^4-8*x^3-18*x^2-x+1)/(64*x^4-16*x^3-18*x^2+1) lgdogf] A152096 4.0458 [(3289*f(x)-2546)*(144*f(x)*x^4-12*f(x)*x^3-144*x^4-27*f(x)*x^2+24*x^3-f(x)*x+27*x^2+f(x)-1) ogf] A152096 7.04604 [(144*x^4-24*x^3-27*x^2+1)/(144*x^4-12*x^3-27*x^2-x+1) ogf] A152096 7.06386 [(1-108*x^4+48*x^3+1728*x^6-9*x^2)/(144*x^4-24*x^3-27*x^2+1)/(144*x^4-12*x^3-27*x^2-x+1) lgdogf] A152098 4.32955 [(1425*f(x)-1378)*(16*f(x)*x^4-4*f(x)*x^3-16*x^4-9*f(x)*x^2+8*x^3-f(x)*x+9*x^2+f(x)-1) ogf] A152098 7.77234 [(x-1)*(16*x^3+8*x^2-x-1)/(16*x^4-4*x^3-9*x^2-x+1) ogf] A152098 7.90089 [(1-3*x^2+16*x^3-12*x^4+64*x^6)/(x-1)/(16*x^3+8*x^2-x-1)/(16*x^4-4*x^3-9*x^2-x+1) lgdogf] A152100 13.4050 [2*(-7-41*x-17*x^2+x^3)/(x-1)/(x^4-6*x^3+26*x^2+10*x+1) lgdogf] A152100 4.79354 [(1464*f(x)+21953)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+6*x^3-4*f(x)*x-26*x^2+f(x)-10*x-1) ogf] A152100 8.48511 [(x^4-6*x^3+26*x^2+10*x+1)/(x-1)^4 ogf] A152101 3.95197 [-(22572447*f(x)-28025000)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-96*x^2-f(x)+42*x+9) ogf] A152101 4.41304 [{-a(n+3)+21*a(n+2)-84*a(n+1)+64*a(n),a(0)=9,a(1)=231,a(2)=3999} ogf] A152101 6.73343 [-(-77+568*x-72*x^2-1792*x^3+2048*x^4)/(x-1)/(-1+4*x)/(16*x-1)/(32*x^2-14*x-3) lgdogf] A152101 8.02371 [3*(32*x^2-14*x-3)/(x-1)/(4*x-1)/(16*x-1) ogf] A152103 4.49928 [-(51*f(x)-82)*(f(x)*x^4-2*f(x)*x^3-x^4-4*f(x)*x^2+4*x^3-2*f(x)*x+4*x^2+f(x)-1) ogf] A152103 8.16536 [(x^4-4*x^3-4*x^2+1)/(x^4-2*x^3-4*x^2-2*x+1) ogf] A152103 9.67704 [2*(1+x^4+8*x^3+x^2+x^6)/(x^4-4*x^3-4*x^2+1)/(x^4-2*x^3-4*x^2-2*x+1) lgdogf] A152104 4.35593 [(25*f(x)-54)*(f(x)*x^4-2*f(x)*x^3-x^4-8*f(x)*x^2+4*x^3-2*f(x)*x+8*x^2+f(x)-1) ogf] A152104 7.69010 [(x^4-4*x^3-8*x^2+1)/(x^4-2*x^3-8*x^2-2*x+1) ogf] A152104 8.59416 [2*(1+5*x^2+8*x^3+5*x^4+x^6)/(x^4-4*x^3-8*x^2+1)/(x^4-2*x^3-8*x^2-2*x+1) lgdogf] A152105 12.1536 [-(8*x-1)/(10*x-1)/(6*x-1) ogf] A152105 13.0103 [-8*(1-15*x+60*x^2)/(6*x-1)/(8*x-1)/(10*x-1) lgdogf] A152105 13.9861 [-1/8*(-1-16*x+(1+16*x^2)^(1/2))/(15*x+2) revogf] A152105 6.07682 [-(49*f(x)+207)*(60*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A152105 6.80025 [{a(n+2)-16*a(n+1)+60*a(n),a(0)=1,a(1)=8} ogf] A152106 11.4385 [-(9*x-1)/(11*x-1)/(7*x-1) ogf] A152106 11.9556 [-(9-154*x+693*x^2)/(11*x-1)/(-1+7*x)/(9*x-1) lgdogf] A152106 5.84358 [-(8*f(x)+73)*(77*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A152106 6.40011 [{a(n+2)-18*a(n+1)+77*a(n),a(0)=1,a(1)=9} ogf] A152107 12.9390 [-(6*x-1)/(31*x^2-12*x+1) ogf] A152107 14.1941 [-2*(3-31*x+93*x^2)/(6*x-1)/(31*x^2-12*x+1) lgdogf] A152107 6.61015 [-(5*f(x)+13)*(31*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A152107 7.23968 [{a(n+2)-12*a(n+1)+31*a(n),a(0)=1,a(1)=6} ogf] A152108 13.6450 [-(7-88*x+308*x^2)/(7*x-1)/(44*x^2-14*x+1) lgdogf] A152108 13.9861 [-1/2*(-1-14*x+(1+20*x^2)^(1/2))/(44*x+7) revogf] A152108 15.2226 [-(7*x-1)/(44*x^2-14*x+1) ogf] A152108 7.69315 [-(10*f(x)+39)*(44*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A152108 8.51740 [{a(n+2)-14*a(n+1)+44*a(n),a(0)=1,a(1)=7} ogf] A152109 12.1536 [-(8*x-1)/(59*x^2-16*x+1) ogf] A152109 13.0103 [-2*(4-59*x+236*x^2)/(8*x-1)/(59*x^2-16*x+1) lgdogf] A152109 13.9861 [-1/2*(-1-16*x+(1+20*x^2)^(1/2))/(59*x+8) revogf] A152109 6.20893 [-(5*f(x)+27)*(59*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A152109 6.80025 [{a(n+2)-16*a(n+1)+59*a(n),a(0)=1,a(1)=8} ogf] A152110 15.9700 [-(-19-41*x+x^3-5*x^2)/(x-1)/(x^3-4*x^2-11*x-2) lgdogf] A152110 3.90081 [{(-89*n^2-538*n-720)*a(n+1)+(-6*n^2-543*n-1575)*a(n+2)+(95*n^2+529*n+732)*a(n+3),a(0)=4,a(1)=38,a(2)=136} ogf] A152110 5.12983 [(7072*f(x)+151037)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-8*x^2+f(x)-22*x-4) ogf] A152110 9.60200 [-2*(x^3-4*x^2-11*x-2)/(x-1)^4 ogf] A152113 12.5690 [-(x+1)*(x^2+1)/(x^4+2*x^2-1) ogf] A152113 12.9376 [-(1+6*x+x^6+2*x^5+x^4+4*x^3+5*x^2)/(x+1)/(x^2+1)/(x^4+2*x^2-1) lgdogf] A152113 8.00967 [(10*f(x)+3)*(f(x)*x^4+2*f(x)*x^2+x^3+x^2-f(x)+x+1) ogf] A152116 4.86077 [(x^4-2*x^3+x^2+2*x+1)*(x^4+2*x^3-4*x^2-2*x+1)/(x^8+x^7-7*x^6+6*x^5+8*x^4-6*x^3-7*x^2-x+1) ogf] A152118 10.5871 [(x^4-x^3-5*x^2+x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A152118 6.96269 [(29*f(x)-31)*(f(x)*x^4-x^4-6*f(x)*x^2+x^3+5*x^2+f(x)-x-1) ogf] A152118 9.43203 [(x^2+1)*(x^4-2*x^3+2*x^2+2*x+1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4-x^3-5*x^2+x+1) lgdogf] A152119 6.03686 [(82*f(x)-93)*(f(x)*x^4-x^4-7*f(x)*x^2+x^3+6*x^2+f(x)-x-1) ogf] A152119 8.75498 [(x^2+1)*(x^4-2*x^3+3*x^2+2*x+1)/(x^2+3*x+1)/(x^2-3*x+1)/(x^4-x^3-6*x^2+x+1) lgdogf] A152119 9.17936 [(x^4-x^3-6*x^2+x+1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A152120 5.44733 [-(58*f(x)-49)*(9*f(x)*x^4-9*x^4-14*f(x)*x^2+6*x^3+10*x^2+f(x)-2*x-1) ogf] A152120 7.61540 [2*(3*x^2+1)*(9*x^4-12*x^3+2*x^2+4*x+1)/(9*x^4-6*x^3-10*x^2+2*x+1)/(9*x^4-14*x^2+1) lgdogf] A152120 8.49784 [(9*x^4-6*x^3-10*x^2+2*x+1)/(9*x^4-14*x^2+1) ogf] A152132 6.60191 [-2*(x^5-2*x^4-2*x^3-3*x^2-x-1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A152132 7.21494 [-(-4-12*x-24*x^5-22*x^4-33*x^3-21*x^2-3*x^7+2*x^8-11*x^6)/(x-1)/(x+1)/(x^2+1)/(x^5-2*x^4-2*x^3-3*x^2-x-1) lgdogf] A152133 11.7693 [-(-8-14*x+x^5-x^4+x^3-11*x^2)/(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x-2) lgdogf] A152133 8.13140 [-2*(x^4-2*x^3+x^2-2*x-2)/(x+1)/(x-1)^4 ogf] A152134 7.23723 [-2*(x^4-2*x^3-3*x^2-4)/(x+1)/(x^2+1)/(x-1)^4 ogf] A152134 8.18850 [-(-12-18*x-5*x^6-18*x^5-27*x^2-39*x^3-12*x^4+3*x^7)/(x-1)/(x+1)/(1+x^2)/(x^4-2*x^3-3*x^2-4) lgdogf] A152135 11.2161 [-(-18-20*x+x^5-5*x^4+7*x^3+3*x^2)/(x-1)/(x+1)/(x^4-4*x^3+5*x^2-6) lgdogf] A152135 8.17256 [-2*(x^4-4*x^3+5*x^2-6)/(x+1)/(x-1)^4 ogf] A152142 5.70615 [(x^8-x^7-8*x^6-6*x^5+9*x^4+6*x^3-6*x^2+x+1)/(x^4+x^3-3*x^2+x+1)/(x^4-x^3-3*x^2-x+1) ogf] A152152 5.04804 [-x*(x^6-2*x^5+10*x^4-14*x^3+10*x^2-2*x+1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A152155 7.08493 [-(f(x)*x-f(x)-x)^2 ogf] A152161 11.0489 [-(21*x^2+158*x+21)/(x-1)^3 ogf] A152161 15.9991 [-(221+358*x+21*x^2)/(-1+x)/(21*x^2+158*x+21) lgdogf] A152161 6.13830 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=221,a(2)=621} ogf] A152161 6.96379 [(979*f(x)-99882)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+158*x+21) ogf] A152163 13.8017 [(2*x-1)/(x^2+x-1) ogf] A152163 18.8879 [1/2/(-2+x)*(-1-x+((5*x-1)*(x-1))^(1/2)) revogf] A152163 23.0196 [-(1-2*x+2*x^2)/(2*x-1)/(x^2+x-1) lgdogf] A152163 7.3068 [(f(x)-1)*(f(x)*x^2+f(x)*x-f(x)-2*x+1) ogf] A152163 7.57412 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-1} ogf] A152166 11.1987 [{-a(n+2)+2*a(n),a(0)=1,a(1)=-2} ogf] A152166 11.3765 [-f(x)*(2*f(x)*x^2-f(x)-2*x+1) ogf] A152166 17.4810 [(2*x-1)/(2*x^2-1) ogf] A152166 22.8275 [1/4*(-1+(1-8*x+8*x^2)^(1/2))/(x-1) revogf] A152166 22.8275 [-2*(1-2*x+2*x^2)/(2*x-1)/(2*x^2-1) lgdogf] A152167 14.6665 [(2*x-1)/(3*x^2-x-1) ogf] A152167 7.76459 [(7*f(x)+2)*(3*f(x)*x^2-f(x)*x-f(x)-2*x+1) ogf] A152167 8.04867 [{-a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=-3} ogf] A152171 8.5713 [-f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x+f(x)-1 ogf] A152172 13.6039 [1/2/(2*x+1)*(-1+x+x^2+(1+2*x+3*x^2-6*x^3+x^4)^(1/2)) revogf] A152172 7.28422 [f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2+f(x)*x+f(x)-x-1 ogf] A152173 11.8435 [1/2*(-1-x-x^2+(1-2*x+3*x^2+6*x^3+x^4)^(1/2))/(x-1)/(1+x) revogf] A152173 8.31404 [-f(x)^2*x^3-f(x)^2*x^2-f(x)*x+f(x)+x-1 ogf] A152174 12.9151 [1/4*(-1+2*x+((10*x-1)*(-1+2*x))^(1/2))/(-1+2*x) revogf] A152174 12.9241 [(2*x-1)/(4*x^2-2*x-1) ogf] A152174 15.9739 [-4*(1-2*x+2*x^2)/(2*x-1)/(4*x^2-2*x-1) lgdogf] A152174 6.7626 [(13*f(x)+3)*(4*f(x)*x^2-2*f(x)*x-f(x)-2*x+1) ogf] A152174 7.09248 [{-a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=-4} ogf] A152179 4.56471 [-(7*x^8+8*x^7+2*x^6+7*x^5+5*x^4+5*x^3+7*x^2+2*x+8)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A152185 12.5015 [(2*x-1)/(5*x^2-3*x-1) ogf] A152185 13.5862 [1/2/(-2+5*x)*(-1+3*x+(1-14*x+29*x^2)^(1/2)) revogf] A152185 15.3739 [-5*(1-2*x+2*x^2)/(2*x-1)/(5*x^2-3*x-1) lgdogf] A152185 6.54151 [(21*f(x)+4)*(5*f(x)*x^2-3*f(x)*x-f(x)-2*x+1) ogf] A152185 6.86060 [{-a(n+2)-3*a(n+1)+5*a(n),a(0)=1,a(1)=-5} ogf] A152187 13.7265 [-(2*x+1)/(5*x^2+3*x-1) ogf] A152187 14.4083 [1/2/(2+5*x)*(-1-3*x+(1+14*x+29*x^2)^(1/2)) revogf] A152187 15.9250 [-5*(1+2*x+2*x^2)/(2*x+1)/(5*x^2+3*x-1) lgdogf] A152187 6.86325 [-(21*f(x)+4)*(5*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A152187 7.53283 [{a(n+2)-3*a(n+1)-5*a(n),a(0)=1,a(1)=5} ogf] A152188 59.2674 [-2/(-1+4*x) lgdegf] A152188 72.4379 [-x*(-1+x) revegf] A152189 8.79719 [(x^6+x^5-9*x^4+7*x^2-x-1)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A152190 4.46560 [(x^10+x^9-14*x^8+x^7+45*x^6-37*x^4-x^3+10*x^2-x-1)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A152191 6.07675 [(x^8-x^7+2*x^6+x^5+8*x^4-x^3+4*x^2+x+1)/(x^4-x^3+2*x^2+x+1)/(x^4+x^3+2*x^2-x+1) ogf] A152192 7.28960 [(1+2*x+2*x^8+x^6+8*x^5-4*x^7+x^4-4*x^3+2*x^9+x^10+2*x^2)/(1+x^2)/(x^2+x-1)/(x^2-x-1)/(x^6-x^5-3*x^4-x^2+x+1) lgdogf] A152192 9.01271 [(x^6-x^5-3*x^4-x^2+x+1)/(x^2+1)/(x^2+x-1)/(x^2-x-1) ogf] A152200 7.10794 [-(3*x^15+17*x^14-6*x^12-6*x^11-3*x^10-3*x^9-2*x^8+3*x^6-3*x^5+9*x-11)/(x-1)^2 ogf] A152223 15.3291 [(2*x-1)/(6*x^2-4*x-1) ogf] A152223 8.02103 [(31*f(x)+5)*(6*f(x)*x^2-4*f(x)*x-f(x)-2*x+1) ogf] A152223 8.41229 [{-a(n+2)-4*a(n+1)+6*a(n),a(0)=1,a(1)=-6} ogf] A152224 16.8084 [-(2*x+1)/(6*x^2+4*x-1) ogf] A152224 8.40419 [-(31*f(x)+5)*(6*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A152224 9.22410 [{a(n+2)-4*a(n+1)-6*a(n),a(0)=1,a(1)=6} ogf] A152225 8.95152 [f(x)^2*x^2-2*f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1 ogf] A152239 12.2492 [(2*x-1)/(7*x^2-5*x-1) ogf] A152239 13.2369 [1/2/(-2+7*x)*(-1+5*x+(1-18*x+53*x^2)^(1/2)) revogf] A152239 14.9787 [-7*(1-2*x+2*x^2)/(2*x-1)/(7*x^2-5*x-1) lgdogf] A152239 6.40947 [(43*f(x)+6)*(7*f(x)*x^2-5*f(x)*x-f(x)-2*x+1) ogf] A152239 6.72212 [{-a(n+2)-5*a(n+1)+7*a(n),a(0)=1,a(1)=-7} ogf] A152240 13.5989 [-(2*x+1)/(7*x^2+5*x-1) ogf] A152240 14.2802 [1/2/(2+7*x)*(-5*x-1+(53*x^2+18*x+1)^(1/2)) revogf] A152240 15.7834 [-7*(1+2*x+2*x^2)/(2*x+1)/(7*x^2+5*x-1) lgdogf] A152240 6.79943 [-(43*f(x)+6)*(7*f(x)*x^2+5*f(x)*x-f(x)+2*x+1) ogf] A152240 7.46279 [{a(n+2)-5*a(n+1)-7*a(n),a(0)=1,a(1)=7} ogf] A152254 10.9063 [-4*f(x)^2*x^2+12*f(x)^2*x-f(x)^2+4 ogf] A152254 20.8996 [-2*(-3+2*x)/(4*x^2+1-12*x) lgdogf] A152254 3.58033 [{(-n-3)*a(n+3)+(30+12*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=2,a(1)=12,a(2)=104} ogf] A152256 4.29702 [(11495*f(x)-1756)*(729*f(x)*x^4-1080*f(x)*x^3+390*f(x)*x^2-27*x^3-40*f(x)*x+15*x^2+f(x)-x) ogf] A152256 5.60918 [-(-25+726*x-61965*x^4+35316*x^3+39366*x^5-8010*x^2)/(x-1)/(-1+3*x)/(27*x-1)/(9*x-1)/(27*x^2-15*x+1) lgdogf] A152256 6.79288 [x*(27*x^2-15*x+1)/(x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A152257 4.39337 [-(15541240*f(x)-248887)*(729*f(x)*x^4-1080*f(x)*x^3+390*f(x)*x^2+27*x^3-40*f(x)*x+f(x)-x) ogf] A152257 6.53539 [-2*(81*x^2-33*x+4)*(243*x^3-81*x^2-63*x+5)/(x-1)/(3*x-1)/(27*x-1)/(9*x-1)/(27*x^2-1) lgdogf] A152257 7.56842 [-(27*x^2-1)/(x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A152258 4.20294 [-x*(6561*x^4+4050*x^3+1638*x^2+50*x+1)/(x-1)/(81*x-1)/(9*x-1)/(9*x+1)/(81*x+1)/(x+1) ogf] A152261 11.5000 [-(9*x-1)/(76*x^2-18*x+1) ogf] A152261 12.5938 [-(9-152*x+684*x^2)/(9*x-1)/(76*x^2-18*x+1) lgdogf] A152261 5.81182 [-(10*f(x)+71)*(76*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A152261 6.43451 [{a(n+2)-18*a(n+1)+76*a(n),a(0)=1,a(1)=9} ogf] A152262 12.1536 [-(7*x-1)/(43*x^2-14*x+1) ogf] A152262 13.6450 [-(7-86*x+301*x^2)/(7*x-1)/(43*x^2-14*x+1) lgdogf] A152262 13.9861 [-1/2*(-1-14*x+(1+24*x^2)^(1/2))/(43*x+7) revogf] A152262 6.14216 [-(12*f(x)+37)*(43*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A152262 6.80025 [{a(n+2)-14*a(n+1)+43*a(n),a(0)=1,a(1)=7} ogf] A152263 12.3416 [-(8*x-1)/(58*x^2-16*x+1) ogf] A152263 12.9154 [-4*(2-29*x+116*x^2)/(-1+8*x)/(58*x^2-16*x+1) lgdogf] A152263 14.2069 [-1/4*(-1-16*x+(1+24*x^2)^(1/2))/(29*x+4) revogf] A152263 6.30494 [-(3*f(x)+13)*(58*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A152263 6.90542 [{a(n+2)-16*a(n+1)+58*a(n),a(0)=1,a(1)=8} ogf] A152264 11.5615 [-(9*x-1)/(75*x^2-18*x+1) ogf] A152264 5.71989 [-(166*f(x)+563)*(75*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A152264 6.46893 [{a(n+2)-18*a(n+1)+75*a(n),a(0)=1,a(1)=9} ogf] A152265 11.1310 [-(8*x-1)/(57*x^2-16*x+1) ogf] A152265 11.8976 [-2*(4-57*x+228*x^2)/(8*x-1)/(57*x^2-16*x+1) lgdogf] A152265 5.68649 [-(7*f(x)+25)*(57*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A152265 6.22806 [{a(n+2)-16*a(n+1)+57*a(n),a(0)=1,a(1)=8} ogf] A152266 11.6230 [-(9*x-1)/(74*x^2-18*x+1) ogf] A152266 12.7314 [-(9-148*x+666*x^2)/(9*x-1)/(74*x^2-18*x+1) lgdogf] A152266 5.87398 [-(14*f(x)+67)*(74*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A152266 6.50333 [{a(n+2)-18*a(n+1)+74*a(n),a(0)=1,a(1)=9} ogf] A152267 11.6230 [-(9*x-1)/(73*x^2-18*x+1) ogf] A152267 12.7314 [-(9-146*x+657*x^2)/(9*x-1)/(73*x^2-18*x+1) lgdogf] A152267 5.87398 [-(16*f(x)+65)*(73*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A152267 6.50333 [{a(n+2)-18*a(n+1)+73*a(n),a(0)=1,a(1)=9} ogf] A152268 10.2685 [-8*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A152268 15.6992 [-1/16*(-1-7*x+(1+14*x+17*x^2)^(1/2))/x revogf] A152268 18.3589 [x/(8*x^2-7*x+1) ogf] A152268 24.8571 [-(-7+16*x)/(8*x^2+1-7*x) lgdogf] A152268 7.47956 [{a(n+2)-7*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A152269 5.61634 [-(149*f(x)+54)*(32*f(x)*x^4-5*f(x)*x^2-8*x^3-3*x^2-f(x)+x) ogf] A152269 8.71886 [-(3+26*x-15*x^2-128*x^3+288*x^4+512*x^5)/(8*x^2+3*x-1)/(32*x^4-5*x^2-1) lgdogf] A152269 9.51155 [x*(8*x^2+3*x-1)/(32*x^4-5*x^2-1) ogf] A152271 10.3027 [(2*f(x)+7)*(f(x)*x^4-2*f(x)*x^2+x^2+f(x)-x-1) ogf] A152271 16.8097 [-(x^2-x-1)/(x-1)^2/(x+1)^2 ogf] A152271 21.8661 [-(-1-2*x-3*x^2+2*x^3)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A152297 14.4643 [-2*(1-5*x+5*x^2)/(2*x-1)/(5*x^2-4*x+1) lgdogf] A152297 7.79133 [hypergeom([1/3,2/3],[1,1],27*x)*exp(-x) egf] A152298 11.9485 [x*(3*x^2+x+1)/(x-1)/(3*x-1)/(3*x+1)/(x+1) ogf] A152298 6.98873 [-(121*f(x)-112)*(9*f(x)*x^4-10*f(x)*x^2-3*x^3-x^2+f(x)-x) ogf] A152298 7.88498 [-(-1-26*x-10*x^2+36*x^3+27*x^4+54*x^5)/(-1+x)/(3*x-1)/(1+3*x)/(x+1)/(3*x^2+x+1) lgdogf] A152299 5.41216 [(1195742*f(x)+50913)*(81*f(x)*x^4-82*f(x)*x^2-9*x^2+f(x)-5*x-1) ogf] A152299 6.32385 [-(-5-182*x-410*x^2+324*x^3+1215*x^4+1458*x^5)/(-1+x)/(9*x-1)/(9*x+1)/(x+1)/(9*x^2+5*x+1) lgdogf] A152299 9.63181 [(9*x^2+5*x+1)/(x-1)/(9*x-1)/(9*x+1)/(x+1) ogf] A152390 13.3263 [-2*(17+24*x-15*x^2+4*x^3)/(x-1)/(4*x^3-14*x^2+19*x+3) lgdogf] A152390 3.51357 [{(-797*n^2-7023*n-13896)*a(n+1)+(1581*n^2+10960*n+16378)*a(n+2)+(-784*n^2-3989*n-4911)*a(n+3),a(0)=6,a(1)=68,a(2)=252} ogf] A152390 8.09304 [-2*(4*x^3-14*x^2+19*x+3)/(x-1)^5 ogf] A152417 11.8537 [x*(5*x^2+3*x+1)/(x-1)/(5*x+1)/(5*x-1)/(x+1) ogf] A152417 7.18057 [(2343*f(x)-379)*(25*f(x)*x^4-26*f(x)*x^2-5*x^3-3*x^2+f(x)-x) ogf] A152417 7.36651 [-(-3-62*x+225*x^4+100*x^3+250*x^5-78*x^2)/(x-1)/(5*x-1)/(5*x+1)/(x+1)/(5*x^2+3*x+1) lgdogf] A152418 5.42479 [-(2801*f(x)-5910)*(49*f(x)*x^4-50*f(x)*x^2-21*x^3-3*x^2+f(x)-3*x) ogf] A152418 7.16576 [-(-1-114*x-50*x^2+196*x^3+147*x^4+686*x^5)/(x-1)/(7*x+1)/(7*x-1)/(x+1)/(7*x^2+x+1) lgdogf] A152418 9.32384 [3*x*(7*x^2+x+1)/(x-1)/(7*x+1)/(7*x-1)/(x+1) ogf] A152429 11.3770 [-(8*x-1)/(11*x-1)/(5*x-1) ogf] A152429 11.8899 [-2*(4-55*x+220*x^2)/(5*x-1)/(11*x-1)/(8*x-1) lgdogf] A152429 5.81216 [-(9*f(x)+23)*(55*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A152429 6.36569 [{a(n+2)-16*a(n+1)+55*a(n),a(0)=1,a(1)=8} ogf] A152435 5.07098 [(9663*f(x)-1832)*(121*f(x)*x^4-122*f(x)*x^2-11*x^3-3*x^2+f(x)-x) ogf] A152435 5.98703 [-(-3-266*x+2662*x^5+484*x^3+1089*x^4-366*x^2)/(x-1)/(11*x+1)/(11*x-1)/(1+x)/(11*x^2+3*x+1) lgdogf] A152435 8.29797 [x*(11*x^2+3*x+1)/(x-1)/(11*x+1)/(11*x-1)/(x+1) ogf] A152436 4.66105 [(216587*f(x)-10475)*(169*f(x)*x^4-170*f(x)*x^2-13*x^3-7*x^2+f(x)-x) ogf] A152436 7.83903 [x*(13*x^2+7*x+1)/(x-1)/(13*x-1)/(13*x+1)/(x+1) ogf] A152437 5.05164 [(798669*f(x)-28165)*(289*f(x)*x^4-290*f(x)*x^2-17*x^3-9*x^2+f(x)-x) ogf] A152437 6.00066 [-(-9-614*x-2610*x^2+1156*x^3+7803*x^4+9826*x^5)/(x-1)/(17*x+1)/(17*x-1)/(x+1)/(17*x^2+9*x+1) lgdogf] A152437 8.49594 [x*(17*x^2+9*x+1)/(x-1)/(17*x+1)/(17*x-1)/(x+1) ogf] A152438 4.51783 [(687805*f(x)-70532)*(361*f(x)*x^4-362*f(x)*x^2-19*x^3-5*x^2+f(x)-x) ogf] A152438 5.30084 [-(-5-762*x+13718*x^5+5415*x^4+1444*x^3-1810*x^2)/(x-1)/(19*x+1)/(19*x-1)/(x+1)/(19*x^2+5*x+1) lgdogf] A152438 7.59815 [x*(19*x^2+5*x+1)/(x-1)/(19*x+1)/(19*x-1)/(x+1) ogf] A152448 5.78239 [(441778*f(x)-87047)*(f(x)*x^4-10*f(x)*x^2-x^3+4*x^2+f(x)-x-1) ogf] A152448 8.85653 [-(-1-12*x-13*x^2+4*x^3+13*x^4-8*x^5+x^6)/(x^3-4*x^2+x+1)/(x^4-10*x^2+1) lgdogf] A152448 9.72494 [(x^3-4*x^2+x+1)/(x^4-10*x^2+1) ogf] A152450 10.0373 [-(3*x^3+6*x^2-x-1)/(x^4-10*x^2+1) ogf] A152450 5.76055 [-(365786*f(x)+30643)*(f(x)*x^4-10*f(x)*x^2+3*x^3+6*x^2+f(x)-x-1) ogf] A152450 9.14480 [-(1+8*x+12*x^5+3*x^6+27*x^4-4*x^3+x^2)/(3*x^3+6*x^2-x-1)/(x^4-10*x^2+1) lgdogf] A152456 15.3952 [-(1-10*x+3*x^2)/(x-1)/(3*x^2-8*x+3) lgdegf] A152456 4.65574 [-(13*f(x)-60)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+8*x-3) egf] A152456 8.92985 [(3*x^2-8*x+3)/(x-1)^3 egf] A152457 21.7717 [-(17+10*x+3*x^2)/(x-1)/(x^2+2*x+3) lgdogf] A152457 3.77423 [{(9+3*n)*a(n+4)+(-19-n)*a(n+3)+(-11-n)*a(n+2)+(-n-3)*a(n+1),a(0)=0,a(1)=3,a(2)=17,a(3)=56} ogf] A152457 9.04905 [-x*(x^2+2*x+3)/(x-1)^5 ogf] A152467 16.7939 [-(1+x+x^2+x^3+x^4+7*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A152467 22.7186 [x^6/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A152483 2.06844 [(f(x)*x^2-2*f(x)*x+f(x)-2)^2 ogf] A152494 2.75758 [-x*(3*x+1)/(10*x-1)/(3*x-1)^2 ogf] A152494 6.41818 [(19*f(x)+1)*(90*f(x)*x^3-69*f(x)*x^2+16*f(x)*x+3*x^2-f(x)+x) ogf] A152499 6.12339 [(30*f(x)+1)*(320*f(x)*x^3-176*f(x)*x^2+28*f(x)*x+2*x^2-f(x)+x) ogf] A152504 6.33853 [(140*f(x)+9)*(875*f(x)*x^3-375*f(x)*x^2+45*f(x)*x+5*x^2-f(x)+3*x) ogf] A152509 5.48654 [(48109700*f(x)-1684787)*(2016*f(x)*x^3-708*f(x)*x^2+68*f(x)*x+3*x^2-f(x)+2*x) ogf] A152513 5.68736 [(497*f(x)+25)*(4116*f(x)*x^3-1225*f(x)*x^2+98*f(x)*x+7*x^2-f(x)+5*x) ogf] A152517 5.43771 [(380098096*f(x)-9385081)*(7680*f(x)*x^3-1984*f(x)*x^2+136*f(x)*x+4*x^2-f(x)+3*x) ogf] A152518 5.39353 [(1290*f(x)+49)*(13365*f(x)*x^3-3051*f(x)*x^2+183*f(x)*x+9*x^2-f(x)+7*x) ogf] A152524 13.3424 [-4*(128*x^2-127)/(x+1)/(x-1)^2 ogf] A152524 14.5120 [-(-127-125*x+128*x^3+128*x^2)/(x-1)/(x+1)/(128*x^2-127) lgdogf] A152524 6.7824 [(253*f(x)-16323052)*(f(x)*x^3-f(x)*x^2-f(x)*x+512*x^2+f(x)-508) ogf] A152524 6.89736 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=508,a(1)=508,a(2)=504} ogf] A152548 28.0599 [-4*(1+x)/(2*x-1)/(2*x+1) lgdogf] A152548 5.08920 [{(-n-3)*a(n+3)+4*a(n+2)+(8+4*n)*a(n+1),a(0)=1,a(1)=4,a(2)=10} ogf] A152548 7.98886 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+2*x+1 ogf] A152577 4.16587 [-(8991*f(x)-7810)*(100*f(x)*x^2-101*f(x)*x+f(x)+110*x-11) ogf] A152577 4.72133 [{a(n+2)-101*a(n+1)+100*a(n),a(0)=11,a(1)=1001} ogf] A152577 7.54509 [-1/20*(-11-101*x+(121+1782*x+9801*x^2)^(1/2))/(11+10*x) revogf] A152577 8.17154 [-11*(10*x-1)/(100*x-1)/(x-1) ogf] A152577 9.22178 [-(91-200*x+1000*x^2)/(x-1)/(100*x-1)/(10*x-1) lgdogf] A152579 13.5070 [(49*x^2-198*x-51)/(x-1)^3 ogf] A152579 19.1822 [-(-351-298*x+49*x^2)/(-1+x)/(49*x^2-198*x-51) lgdogf] A152579 7.08027 [(6096*f(x)-1196411)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-49*x^2-f(x)+198*x+51) ogf] A152579 7.50387 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=51,a(1)=351,a(2)=851} ogf] A152592 4.77104 [x^4*(x^21-x^20+x^17-x^14+x^13-x^11+x^10-x^9+x^8-x^7-x^2+x-1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A152594 13.0297 [(4*x+1)/(2*x^2+5*x+1) ogf] A152594 15.2071 [-1/4*(5*x-1+(17*x^2+6*x+1)^(1/2))/(-2+x) revogf] A152594 16.8968 [-(1+4*x+8*x^2)/(4*x+1)/(2*x^2+5*x+1) lgdogf] A152594 6.89809 [(7*f(x)-6)*(2*f(x)*x^2+5*f(x)*x+f(x)-4*x-1) ogf] A152594 7.15045 [{-a(n+2)-5*a(n+1)-2*a(n),a(0)=1,a(1)=-1} ogf] A152596 12.9223 [-(4*x-1)/(6*x-1)/(x-1) ogf] A152596 13.5554 [-1/4*(-1-7*x+(1-2*x+25*x^2)^(1/2))/(2+3*x) revogf] A152596 14.5981 [-3*(1-4*x+8*x^2)/(x-1)/(6*x-1)/(-1+4*x) lgdogf] A152596 6.39015 [-(19*f(x)-10)*(6*f(x)*x^2-7*f(x)*x+f(x)+4*x-1) ogf] A152596 7.09150 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=1,a(1)=3} ogf] A152599 12.9390 [-(6*x-1)/(12*x^2-10*x+1) ogf] A152599 13.5489 [-1/12*(-1-10*x+(1-4*x+52*x^2)^(1/2))/(2*x+1) revogf] A152599 14.5403 [-4*(1-6*x+18*x^2)/(6*x-1)/(12*x^2-10*x+1) lgdogf] A152599 6.53907 [-(37*f(x)-21)*(12*f(x)*x^2-10*f(x)*x+f(x)+6*x-1) ogf] A152599 7.23968 [{a(n+2)-10*a(n+1)+12*a(n),a(0)=1,a(1)=4} ogf] A152600 17.7551 [(4+(1-12*x)^(1/2))/(4*x+5)*x revogf] A152600 22.5974 [2/(1-16*x+4*x^2)^(1/2) lgdogf] A152600 3.50831 [{-4*a(n+1)*n+(16*n+24)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A152600 9.24919 [-3*f(x)^2-4*f(x)*x+8*f(x)-5 ogf] A152601 29.5460 [-x*(3*x-1)/(2*x+1) revogf] A152601 9.21 [-3*f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A152618 11.0869 [(9*x^2-4*x+1)/(x-1)^4 ogf] A152618 23.5580 [-6*x*(1+3*x)/(x-1)/(9*x^2-4*x+1) lgdogf] A152618 3.82498 [{(n+4)*a(n+4)+(-5*n-15)*a(n+3)+(20+13*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=1,a(1)=0,a(2)=3,a(3)=16} ogf] A152618 5.50357 [-(1971*f(x)+4925)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)+4*x-1) ogf] A152619 10.4097 [x*(x^2-4*x+9)/(x-1)^4 ogf] A152619 3.78064 [{(27+9*n)*a(n+4)+(-58-13*n)*a(n+3)+(15+5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=9,a(2)=32,a(3)=75} ogf] A152619 5.31405 [(217188*f(x)+816623)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+4*x^2+f(x)-9*x) ogf] A152620 12.1161 [(6*x+1)/(6*x^2+8*x+1) ogf] A152620 13.7365 [-1/12*(-1+8*x+(1+8*x+40*x^2)^(1/2))/(x-1) revogf] A152620 14.4410 [-2*(1+6*x+18*x^2)/(6*x+1)/(6*x^2+8*x+1) lgdogf] A152620 6.26693 [(19*f(x)-15)*(6*f(x)*x^2+8*f(x)*x+f(x)-6*x-1) ogf] A152620 6.64906 [{-a(n+2)-8*a(n+1)-6*a(n),a(0)=1,a(1)=-2} ogf] A152621 13.5312 [-(6*x-1)/(6*x^2-8*x+1) ogf] A152621 14.5543 [-1/12*(-1-8*x+(1-8*x+40*x^2)^(1/2))/(1+x) revogf] A152621 15.3007 [-2*(1-6*x+18*x^2)/(6*x-1)/(6*x^2-8*x+1) lgdogf] A152621 6.69126 [-(19*f(x)-15)*(6*f(x)*x^2-8*f(x)*x+f(x)+6*x-1) ogf] A152621 7.42566 [{a(n+2)-8*a(n+1)+6*a(n),a(0)=1,a(1)=2} ogf] A152623 100.582 [5/(5*x+1) lgdogf] A152623 17.6997 [1+5*x-f(x) ogf] A152623 41.1472 [2*x/(1+(1+10*x)^(1/2)) revegf] A152623 9.55784 [{a(n+2),a(0)=1,a(1)=5} ogf] A152624 100.582 [5/(3+5*x) lgdogf] A152624 17.6997 [3+5*x-f(x) ogf] A152624 41.1472 [2*x/(3+(9+10*x)^(1/2)) revegf] A152624 9.55784 [{a(n+2),a(0)=3,a(1)=5} ogf] A152627 100.582 [5/(7+5*x) lgdogf] A152627 17.0676 [-5/(-5*x-7) lgdogf] A152627 17.6997 [7+5*x-f(x) ogf] A152627 39.3582 [2*x/(7+(49+10*x)^(1/2)) revegf] A152627 9.55784 [{a(n+2),a(0)=7,a(1)=5} ogf] A152628 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152629 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152630 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152631 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152632 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152633 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152634 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152635 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152636 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152637 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152638 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152639 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152640 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152641 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152642 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152643 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152644 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152645 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152646 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152647 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152661 15.1549 [-2*x/(x+1)/(x-1)^3 egf] A152661 15.4994 [-(-4*x-2)/(-x^2+1) lgdegf] A152661 23.8232 [-2*(2*x+1)/(x-1)/(x+1) lgdegf] A152661 4.08366 [{(n^3+9*n^2+26*n+24)*a(n+1)+(6+2*n)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=2,a(2)=8} ogf] A152661 8.85679 [f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+2*x egf] A152668 10.3858 [-3*(-1-4*x-2*x^2-2*x^3+x^4)/(x-1)/(x+1)/(x^3-2*x^2-x-1) lgdegf] A152668 6.01030 [-(3*x^4-6*x^3-6*x^2-12*x-3)/(x^5-2*x^4-2*x^3+x^2+x+1) lgdegf] A152668 6.26881 [-2*(x^3-2*x^2-x-1)/(x+1)^2/(x-1)^4 egf] A152681 10.7297 [f(x)^2*x-3*f(x)*x-f(x)+1 ogf] A152681 12.3468 [-1/2*(3*x-1+(1+2*x+9*x^2)^(1/2))/(1+2*x+9*x^2)^(1/2)/x lgdogf] A152681 14.3875 [-(-x^2+x)/(3*x-1) revogf] A152681 41.6703 [x*(x-1)/(-1+3*x) revogf] A152691 100.502 [-2/(x-1) lgdogf] A152691 13.5917 [-f(x)*x^2+2*f(x)*x-f(x)+64*x ogf] A152691 21.4605 [64*x/(x-1)^2 ogf] A152691 29.1250 [2/(-x+1) lgdogf] A152691 40.2007 [x/(4+(16+x)^(1/2))^2 revogf] A152691 62.3707 [[2] ogf_with_Euler_transform] A152691 9.94512 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=64} ogf] A152692 5.34363 [-2*x^2*(21*x^3-36*x^2+21*x-4)/(x-1)^2/(3*x-1)^2/(2*x-1)^2 ogf] A152692 6.56564 [-(-27+230*x-774*x^2+1296*x^3-1095*x^4+378*x^5)/(x-1)/(3*x-1)/(2*x-1)/(21*x^3-36*x^2+21*x-4) lgdogf] A152693 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152694 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152695 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152696 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152697 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152698 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152699 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152700 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152701 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152702 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152703 5.10508 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152704 4.75892 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152705 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152706 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152707 5.06107 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152708 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152709 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152710 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152711 4.8003 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152712 5.06107 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A152718 8.48144 [-(-1+2*x-x^4+x^8-4*x^5+x^6-x^2)/(x^3-x^2+2*x-1)/(x^5-x^4+2*x^3-x^2+2*x-1)/(x^2+x+1) lgdogf] A152718 9.51584 [(x^2+x+1)*(x^3-x^2+2*x-1)/(x^5-x^4+2*x^3-x^2+2*x-1) ogf] A152725 10.3500 [-3*(21+276*x+76*x^3+x^4+466*x^2)/(x-1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A152725 5.72808 [-x*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A152726 3.75940 [x*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x+1)/(x-1)^8 ogf] A152728 13.8242 [-(7+17*x+23*x^3+4*x^4+21*x^2)/(x-1)/(x^2+x+1)/(x^2+4*x+1) lgdogf] A152728 7.99783 [-(4*x^4+23*x^3+21*x^2+17*x+7)/(x^5+4*x^4+x^3-x^2-4*x-1) lgdogf] A152728 8.51382 [x^3*(x^2+4*x+1)/(x^2+x+1)/(x-1)^4 ogf] A152729 10.0908 [-(15+70*x+59*x^4+114*x^3+4*x^5+98*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2+10*x+1) lgdogf] A152729 6.70135 [-x^2*(x+1)*(x^2+10*x+1)/(x^2+x+1)/(x-1)^5 ogf] A152730 5.26375 [x^2*(x^4+26*x^3+66*x^2+26*x+1)/(x^2+x+1)/(x-1)^6 ogf] A152730 7.53422 [-(31+267*x+531*x^4+646*x^3+135*x^5+4*x^6+546*x^2)/(x-1)/(x^2+x+1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A152731 4.29048 [-x^2*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x^2+x+1)/(x-1)^7 ogf] A152731 5.85386 [-(63+952*x+4273*x^4+4308*x^3+4*x^7+291*x^6+2160*x^5+3069*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+56*x^3+246*x^2+56*x+1) lgdogf] A152732 11.9993 [-(6*x^2+2*x+1)/(2*x^3+x^2+x-1) lgdogf] A152732 17.0657 [-2*x^2/(2*x-1)/(x^2+x+1) ogf] A152732 23.7764 [-(1+2*x+6*x^2)/(2*x-1)/(x^2+x+1) lgdogf] A152732 6.98142 [{-a(n+3)+a(n+2)+a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A152732 9.48093 [-2*f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x) ogf] A152733 11.6277 [-(-9*x^2-4*x-2)/(-3*x^3-2*x^2-2*x+1) lgdogf] A152733 16.5372 [-3*x^2/(3*x-1)/(x^2+x+1) ogf] A152733 19.0759 [-(2+4*x+9*x^2)/(-1+3*x)/(x^2+x+1) lgdogf] A152733 6.76521 [{-a(n+3)+2*a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=0,a(2)=3} ogf] A152733 9.18731 [-3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-3*x^2+f(x) ogf] A152734 14.2422 [-5*x*(2*x+1)/(x-1)^3 ogf] A152734 17.2093 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A152734 32.0717 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A152734 7.18301 [-(27*f(x)-130)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+5*x) ogf] A152734 7.37540 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=25} ogf] A152740 10.2975 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+11*x ogf] A152740 17.4610 [-11*x/(x-1)^3 ogf] A152740 28.6859 [3/(-x+1) lgdogf] A152740 61.4203 [[3] ogf_with_Euler_transform] A152740 7.10801 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=33} ogf] A152740 98.9732 [-3/(x-1) lgdogf] A152741 10.5415 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+13*x ogf] A152741 17.8748 [-13*x/(x-1)^3 ogf] A152741 29.3657 [3/(-x+1) lgdogf] A152741 62.8758 [[3] ogf_with_Euler_transform] A152741 7.27645 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=39} ogf] A152741 90.0910 [-3/(-1+x) lgdogf] A152742 12.1084 [-13*(x+1)*x/(x-1)^3 ogf] A152742 16.2362 [-(2*x+4)/(x^2-1) lgdogf] A152742 33.7776 [[4-x] ogf_with_Euler_transform] A152742 35.1702 [-2*(x+2)/(x-1)/(x+1) lgdogf] A152742 6.32207 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=52} ogf] A152742 6.4945 [(4*f(x)+13)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+13*x) ogf] A152743 12.6133 [-6*x*(2*x+1)/(x-1)^3 ogf] A152743 15.2411 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A152743 32.7469 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A152743 6.53190 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=30} ogf] A152743 7.44489 [-(9*f(x)-52)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+6*x) ogf] A152744 11.8750 [-7*x*(2*x+1)/(x-1)^3 ogf] A152744 14.3489 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A152744 30.8072 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A152744 6.14954 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=35} ogf] A152744 7.17351 [-(27*f(x)-182)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+7*x) ogf] A152745 12.2751 [-5*x*(3*x+1)/(x-1)^3 ogf] A152745 14.8324 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A152745 31.8585 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A152745 6.03351 [-(1072*f(x)-6825)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+5*x) ogf] A152745 6.35673 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=30} ogf] A152746 12.0013 [-6*x*(3*x+1)/(x-1)^3 ogf] A152746 14.5016 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A152746 31.1403 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A152746 5.94937 [-(536*f(x)-4095)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+6*x) ogf] A152746 6.21496 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=36} ogf] A152749 10.2927 [-2*x*(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A152749 11.5793 [-(3*x^3+5*x^2+8*x+2)/(x^4+x^3-x-1) lgdogf] A152749 19.5680 [-(2+8*x+5*x^2+3*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A152749 33.1846 [-x^2+2*x+2 ogf_with_Euler_transform] A152750 13.7907 [-8*x*(3*x+1)/(x-1)^3 ogf] A152750 16.6638 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A152750 33.3676 [-6*(x+1)/(1+3*x)/(x-1) lgdogf] A152750 6.83642 [-(134*f(x)-1365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+8*x) ogf] A152750 7.14162 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=48} ogf] A152751 12.1479 [-3*x*(5*x+1)/(x-1)^3 ogf] A152751 14.3791 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A152751 28.8962 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A152751 5.97098 [-(1620*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+3*x) ogf] A152751 6.29086 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=24} ogf] A152756 3.52769 [{a(n+3)-101*a(n+2)+100*a(n+1),a(0)=1,a(1)=101,a(2)=10001} ogf] A152756 3.79904 [-(9801*f(x)+400)*(100*f(x)*x^2-101*f(x)*x+100*x^2+f(x)-1) ogf] A152756 6.75721 [-(101-400*x+10100*x^2)/(-1+x)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A152756 7.18365 [-(10*x-1)*(10*x+1)/(100*x-1)/(x-1) ogf] A152759 12.2751 [-3*x*(6*x+1)/(x-1)^3 ogf] A152759 14.5297 [-(-12*x-9)/(-6*x^2+5*x+1) lgdogf] A152759 29.2036 [-3*(3+4*x)/(6*x+1)/(x-1) lgdogf] A152759 5.9828 [-(4361*f(x)-29412)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+3*x) ogf] A152759 6.35673 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=27} ogf] A152760 13.5974 [-4*x*(6*x+1)/(x-1)^3 ogf] A152760 16.0949 [-(-12*x-9)/(-6*x^2+5*x+1) lgdogf] A152760 32.3931 [-3*(3+4*x)/(6*x+1)/(x-1) lgdogf] A152760 6.6273 [-(4361*f(x)-39216)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+4*x) ogf] A152760 7.04150 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=36} ogf] A152764 3.03924 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=111,a(2)=11011,a(3)=1100011} ogf] A152764 3.18629 [-(712071*f(x)+55510)*(100*f(x)*x^2+1000*x^3-101*f(x)*x+100*x^2+f(x)-10*x-1) ogf] A152764 5.56480 [-(10*x-1)*(10*x+1)^2/(100*x-1)/(x-1) ogf] A152764 5.66413 [(-111+1510*x+10000*x^3-21200*x^2)/(-1+x)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A152767 12.0013 [-3*x*(7*x+1)/(x-1)^3 ogf] A152767 13.9215 [-(-14*x-10)/(-7*x^2+6*x+1) lgdogf] A152767 28.5452 [-2*(5+7*x)/(7*x+1)/(x-1) lgdogf] A152767 5.7527 [-(14528*f(x)-112347)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+3*x) ogf] A152767 6.21496 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=30} ogf] A152773 12.3572 [-3*x*(4*x+1)/(x-1)^3 ogf] A152773 14.9316 [-(-8*x-7)/(-4*x^2+3*x+1) lgdogf] A152773 32.0717 [-(7+8*x)/(4*x+1)/(x-1) lgdogf] A152773 6.17862 [-(175*f(x)-837)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+3*x) ogf] A152773 6.39928 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=21} ogf] A152775 3.036 [-(333333666667*f(x)+74000111000000)*(1000*f(x)*x^3-f(x)*x^2-1000*f(x)*x+f(x)-111) ogf] A152775 9.31746 [-2*(-500-x+1500*x^2)/(x-1)/(1000*x-1)/(x+1) lgdogf] A152776 14.5068 [7/(x-1)/(8*x-1)/(x+1) ogf] A152776 16.1944 [-2*(-4-x+12*x^2)/(x-1)/(8*x-1)/(x+1) lgdogf] A152776 5.17197 [{a(n+3)-8*a(n+2)-a(n+1)+8*a(n),a(0)=7,a(1)=56,a(2)=455} ogf] A152776 5.40706 [-(4161*f(x)+58688)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x+f(x)-7) ogf] A152776 9.15042 [-(-24*x^2+2*x+8)/(-8*x^3+x^2+8*x-1) lgdogf] A152777 12.0417 [-7*x*(4*x+1)/(x-1)^3 ogf] A152777 14.5504 [-(-8*x-7)/(-4*x^2+3*x+1) lgdogf] A152777 29.8915 [-(7+8*x)/(1+4*x)/(-1+x) lgdogf] A152777 6.07319 [-(25*f(x)-279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)+7*x) ogf] A152777 6.23587 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=49} ogf] A152811 12.6333 [-(-2*x^2+2*x+6)/(-2*x^3+5*x^2-2*x-1) lgdogf] A152811 13.2546 [2*(2*x^2-3*x-1)/(x-1)^3 ogf] A152811 24.0343 [-2*(-3-x+x^2)/(x-1)/(2*x^2-3*x-1) lgdogf] A152811 6.97009 [(246*f(x)-3859)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+6*x+2) ogf] A152811 7.09239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=12,a(2)=26} ogf] A152813 12.3672 [-(-5*x^2+2*x+15)/(-5*x^3+11*x^2-3*x-3) lgdogf] A152813 13.3809 [(5*x^2-6*x-3)/(x-1)^3 ogf] A152813 22.2453 [-(-15-2*x+5*x^2)/(x-1)/(5*x^2-6*x-3) lgdogf] A152813 7.09766 [(81*f(x)-2105)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+6*x+3) ogf] A152813 7.15993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=15,a(2)=31} ogf] A152822 11.0163 [-(2*f(x)+5)*(f(x)*x^4+x^3-f(x)+x+1) ogf] A152822 17.3692 [-(1+3*x^4+4*x^3+x^6+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+x+1) lgdogf] A152822 17.7610 [-(x^3+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A152829 4.75631 [{-a(n+5)+2*a(n+2),a(0)=3,a(1)=6,a(2)=7,a(3)=12,a(4)=13} ogf] A152829 7.48323 [2*(-3-7*x+x^6-7*x^4-14*x^3-18*x^2)/(2*x^3-1)/(x^4+6*x^3+7*x^2+6*x+3) lgdogf] A152829 8.04914 [-(x^4+6*x^3+7*x^2+6*x+3)/(2*x^3-1) ogf] A152829 8.63278 [(59006*f(x)+160157)*(2*f(x)*x^3+x^4+6*x^3+7*x^2-f(x)+6*x+3) ogf] A152832 12.4728 [-(2*x^3-8*x^2+5*x-3)/(2*x^4-5*x^3+5*x-2) lgdogf] A152832 14.7219 [-(2*x-1)*(x-2)/(x+1)/(x-1)^2 ogf] A152832 19.0153 [-(-3+5*x-8*x^2+2*x^3)/(x-1)/(x-2)/(2*x-1)/(x+1) lgdogf] A152832 7.87752 [(91*f(x)+171)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-5*x+2) ogf] A152832 8.01820 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=-2,a(1)=3,a(2)=-1} ogf] A152833 12.3019 [-(3*x^3-11*x^2+8*x-4)/(3*x^4-7*x^3+7*x-3) lgdogf] A152833 14.7219 [-(3*x^2-7*x+3)/(x+1)/(x-1)^2 ogf] A152833 18.7091 [-(-4+8*x+3*x^3-11*x^2)/(x-1)/(x+1)/(3*x^2-7*x+3) lgdogf] A152833 7.61049 [-(95*f(x)+221)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-7*x+3) ogf] A152833 8.01820 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=-3,a(1)=4,a(2)=-2} ogf] A152835 10.0560 [-(-22*x^3+68*x^2-65*x+23)/(-22*x^4+45*x^3-45*x+22) lgdogf] A152835 12.5700 [-(22*x^2-45*x+22)/(x+1)/(x-1)^2 ogf] A152835 16.3876 [-(-23+65*x+22*x^3-68*x^2)/(x-1)/(x+1)/(22*x^2-45*x+22) lgdogf] A152835 6.43584 [-(8911*f(x)+96031)*(f(x)*x^3-f(x)*x^2-f(x)*x+22*x^2+f(x)-45*x+22) ogf] A152835 6.99549 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=-22,a(1)=23,a(2)=-21} ogf] A152855 14.7375 [-(2+5*x^4+4*x^7+8*x^5+6*x^2)/(x-1)/(2*x^3+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A152855 16.2414 [-(2*x^3+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152856 6.56157 [-x*(8+4*x^7+12*x^5+6*x^6+20*x^3+16*x^2+9*x)/(-1+x)/(4*x^4+3*x^3+4*x^2+4)/(x^4+x^3+x^2+x+1) lgdogf] A152856 8.98452 [-(4*x^4+3*x^3+4*x^2+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152857 11.5792 [-(3+12*x^5+10*x^4)/(3*x+2)/(-1+x)/(x^4+x^3+x^2+x+1) lgdogf] A152857 9.53551 [-x*(3*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152881 10.7123 [-(-10*x^2-10*x-5)/(-2*x^3-3*x^2+x+1) lgdogf] A152881 10.8771 [-x*(2*x+1)/(x^2+x-1)^3 ogf] A152881 20.4886 [-5*(1+2*x+2*x^2)/(2*x+1)/(x^2+x-1) lgdogf] A152881 3.57076 [{(-3-n)*a(n+4)+(3-n)*a(n+3)+(13+3*n)*a(n+2)+(10+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=15} ogf] A152885 12.7999 [-(-5*x-1)/(-x^2+1) lgdegf] A152885 27.8603 [-(1+5*x)/(x-1)/(x+1) lgdegf] A152885 3.39275 [{(n^3+9*n^2+26*n+24)*a(n+1)+(n+3)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A152885 4.55831 [(103*f(x)^2+200*f(x)+52)*(f(x)*x^5-f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+f(x)*x+x^2-f(x)) egf] A152885 9.88065 [-x^2/(x+1)^2/(x-1)^3 egf] A152886 12.6638 [-(-5*x-1)/(-x^2+1) lgdegf] A152886 27.7105 [-(1+5*x)/(x-1)/(x+1) lgdegf] A152886 3.29708 [{(n^3+8*n^2+21*n+18)*a(n+1)+(n+3)*a(n+2)-n*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A152886 6.10283 [-f(x)*x^5+f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-x^3-f(x)*x+f(x) egf] A152886 9.13452 [-x^3/(x+1)^2/(x-1)^3 egf] A152887 12.9361 [-(-5*x-1)/(-x^2+1) lgdegf] A152887 28.0101 [-(5*x+1)/(x-1)/(x+1) lgdegf] A152887 3.38803 [{(n^3+10*n^2+31*n+30)*a(n+1)+(n+3)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A152887 9.98577 [-x/(x+1)^2/(x-1)^3 egf] A152889 14.3041 [-x*(2*x^2+x+2)*(6*x^3-3*x^2-2*x+4)/(x-1)/(1+4*x^2)/(x^4+x^3+x^2+x+1) lgdogf] A152889 15.5132 [-(4*x^2+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152889 9.56293 [-(-12*x^6-5*x^4-8*x)/(-4*x^7-x^5+4*x^2+1) lgdogf] A152890 5.52910 [-(1+8*x+x^8+12*x^6+4*x^5+20*x^4+4*x^3)/(-1+x)/(x^4+x^3+x^2+x+1)/(x^4+4*x^2+x+4) lgdogf] A152890 7.17102 [-(x^4+4*x^2+x+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152891 13.5340 [-(-9+23*x-15*x^2+3*x^3)/(x-2)/(x-1)/(x^2-3*x+1) lgdogf] A152891 4.85702 [-(489*f(x)+250)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x+x^2+f(x)-2*x) ogf] A152891 7.78295 [-(3*x^3-15*x^2+23*x-9)/(x^4-6*x^3+12*x^2-9*x+2) lgdogf] A152891 9.93823 [-x*(x-2)/(x^2-3*x+1)/(x-1)^2 ogf] A152892 15.0156 [-x*(x^3+x+3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152892 15.4393 [-(1+15*x^4+2*x^7+4*x^5+3*x^2)/(x-1)/(x^3+x+3)/(x^4+x^3+x^2+x+1) lgdogf] A152893 5.53271 [-(3+4*x^8+12*x^5+15*x^4+16*x^3)/(-1+x)/(x^4+x^3+x^2+x+1)/(4*x^4+3*x+3) lgdogf] A152893 6.62649 [-(4*x^4+3*x+3)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152894 4.24057 [-(455*f(x)-7296)*(f(x)*x^5+4*x^3+x^2-f(x)) ogf] A152894 7.26955 [-x^2*(4*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152894 9.74453 [-(4+16*x^5+5*x^4)/(-1+x)/(4*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A152895 13.6640 [-(-11+30*x+4*x^3-20*x^2)/(x-2)/(x-1)/(x^2-3*x+1) lgdogf] A152895 7.92571 [-(4*x^3-20*x^2+30*x-11)/(x^4-6*x^3+12*x^2-9*x+2) lgdogf] A152895 8.87680 [x*(x-2)/(x^2-3*x+1)/(x-1)^3 ogf] A152896 7.60120 [-x*(x^2-3*x+3)/(x^3-3*x^2+4*x-1)/(x-1)^2 ogf] A152896 8.39519 [-(-15+55*x-74*x^2+52*x^3-19*x^4+3*x^5)/(x-1)/(x^2-3*x+3)/(x^3-3*x^2+4*x-1) lgdogf] A152897 6.85761 [x*(x^2-3*x+3)/(x^3-3*x^2+4*x-1)/(x-1)^3 ogf] A152897 8.39519 [-(-18+70*x-96*x^2+68*x^3-25*x^4+4*x^5)/(x-1)/(x^2-3*x+3)/(x^3-3*x^2+4*x-1) lgdogf] A152898 10.1173 [-(16*x^5+5*x^4+4)/(4*x^6+x^5-4*x-1) lgdogf] A152898 17.0267 [-(4*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A152898 19.8506 [-(4+5*x^4+16*x^5)/(x-1)/(1+4*x)/(x^4+x^3+x^2+x+1) lgdogf] A152917 15.7037 [(-1-n)*a(n+2)-a(n+1),a(0)=0,a(1)=1 revegf] A152919 15.0695 [-2*(-1-3*x-2*x^3+2*x^4-2*x^2)/(x-1)/(x+1)/(x^5-x^4-x-1) lgdogf] A152919 9.94114 [(x^5-x^4-x-1)/(x+1)^2/(x-1)^3 ogf] A152927 2.07233 [(1822*f(x)+15)*(f(x)*x^2+16*f(x)*x-f(x)+x+7) ogf] A152927 5.21469 [-(113+14*x+x^2)/(x+7)/(x^2+16*x-1) lgdogf] A152928 10.5758 [-(18*x^2-139*x+113)/(x-1)/(x^2-7*x+1) ogf] A152928 4.98575 [-(10039108347*f(x)+26968916545)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+18*x^2-f(x)-139*x+113) ogf] A152928 5.86559 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=113,a(1)=765,a(2)=5234} ogf] A152929 11.3314 [-(-63*x^2-226*x-176)/(-63*x^3-176*x^2-50*x+113) lgdogf] A152929 17.7053 [-(63*x+113)/(x^2+x-1) ogf] A152929 8.76137 [-(201*f(x)-7225)*(f(x)*x^2+f(x)*x-f(x)+63*x+113) ogf] A152929 9.88201 [{-a(n+2)+a(n+1)+a(n),a(0)=113,a(1)=176} ogf] A152930 6.18821 [-(x+22)*(x-8)/(x+7)/(x^2-25*x+1) lgdogf] A152930 7.28541 [(2193*f(x)+137)*(f(x)*x^2-25*f(x)*x+f(x)-x-7) ogf] A152932 4.8129 [(457405058633*f(x)+2244347620316421)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+10530*x^2+f(x)-14895*x-32733) ogf] A152933 5.12209 [1/18*(-18-67*x+(324+2376*x+4525*x^2)^(1/2))/(x-1) revogf] A152933 6.60480 [-(3*x+7)*(3*x-19)/(x-2)/(9*x^2+67*x-1) lgdogf] A152933 6.61658 [-(8947*f(x)-1845)*(9*f(x)*x^2+67*f(x)*x-f(x)-9*x+18) ogf] A152934 5.0278 [-(264384477531*f(x)+1786115286476)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+45*x^2-f(x)-350*x+289) ogf] A152939 3.66483 [(1782709950174854133733*f(x)-1841446847473253445715198)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+4977*x^3-3*f(x)*x+17480*x^2+f(x)-22190*x-29153) ogf] A152947 13.5364 [-(2*x^2-2*x+1)/(x-1)^3 ogf] A152947 13.7620 [-(-2*x^2-1)/(-2*x^3+4*x^2-3*x+1) lgdogf] A152947 26.9921 [-(1+2*x^2)/(x-1)/(2*x^2-2*x+1) lgdogf] A152947 7.37249 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A152947 7.43892 [(f(x)-1)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A152948 12.9019 [-(-3*x^2+2*x-2)/(-3*x^3+7*x^2-6*x+2) lgdogf] A152948 13.5364 [-(3*x^2-4*x+2)/(x-1)^3 ogf] A152948 23.8166 [-(2-2*x+3*x^2)/(x-1)/(3*x^2-4*x+2) lgdogf] A152948 7.18017 [-(f(x)+3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-4*x+2) ogf] A152948 7.37249 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=3} ogf] A152949 12.7034 [-(-4*x^2+4*x-3)/(-4*x^3+10*x^2-9*x+3) lgdogf] A152949 13.5364 [-(4*x^2-6*x+3)/(x-1)^3 ogf] A152949 23.8166 [-(3-4*x+4*x^2)/(x-1)/(4*x^2-6*x+3) lgdogf] A152949 7.18017 [-(3*f(x)+7)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-6*x+3) ogf] A152949 7.37249 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=3,a(2)=4} ogf] A152950 13.0888 [-(-3*x^2+4*x-4)/(-3*x^3+8*x^2-8*x+3) lgdogf] A152950 13.7326 [-(3*x^2-5*x+3)/(x-1)^3 ogf] A152950 24.1685 [-(4-4*x+3*x^2)/(x-1)/(3*x^2-5*x+3) lgdogf] A152950 7.28423 [-(f(x)-3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-5*x+3) ogf] A152950 7.47934 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=4,a(2)=6} ogf] A152965 12.6774 [-2*x*(9*x+1)/(x-1)^3 ogf] A152965 14.7057 [-(-18*x-12)/(-9*x^2+8*x+1) lgdogf] A152965 30.1728 [-6*(2+3*x)/(9*x+1)/(x-1) lgdogf] A152965 6.17888 [-(2450*f(x)-15873)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+2*x) ogf] A152965 6.56506 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=24} ogf] A152966 6.83920 [2*x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(10*x^9-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A152994 12.1044 [-9*x*(3*x+1)/(x-1)^3 ogf] A152994 14.6261 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A152994 31.4155 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A152994 6.26835 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=54} ogf] A152994 7.0483 [-(1072*f(x)-12285)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)+9*x) ogf] A152995 12.6133 [-2*x*(8*x+1)/(x-1)^3 ogf] A152995 14.6315 [-(-16*x-11)/(-8*x^2+7*x+1) lgdogf] A152995 30.0180 [-(11+16*x)/(8*x+1)/(x-1) lgdogf] A152995 6.09645 [-(11421*f(x)-66430)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+2*x) ogf] A152995 6.53190 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=22} ogf] A152996 12.2540 [-9*x*(2*x+1)/(x-1)^3 ogf] A152996 14.8069 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A152996 31.8064 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A152996 6.28965 [-(3*f(x)-26)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+9*x) ogf] A152996 6.34581 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=45} ogf] A152997 11.9382 [-2*x*(10*x+1)/(x-1)^3 ogf] A152997 13.5767 [-(-20*x-13)/(-10*x^2+9*x+1) lgdogf] A152997 27.2569 [-(13+20*x)/(10*x+1)/(x-1) lgdogf] A152997 6.18226 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=26} ogf] A152997 7.7744 [-(24805*f(x)-177156)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+2*x) ogf] A153010 11.6099 [x*(2*x^3-x^2-x+1)/(2*x-1)/(x-1) ogf] A153010 6.03713 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=7} ogf] A153010 6.73787 [-(172*f(x)+79)*(-2*x^4+2*f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)-x) ogf] A153010 7.70042 [-(4*x^4-12*x^3+11*x^2-6*x+2)/(-4*x^5+8*x^4-3*x^3-4*x^2+4*x-1) lgdogf] A153026 12.8327 [-(-19-33*x+11*x^2+2*x^4-9*x^3)/(x-1)/(x+1)/(x^3-4*x^2+5*x-8) lgdogf] A153026 7.89064 [-(2*x^4-9*x^3+11*x^2-33*x-19)/(x^5-4*x^4+4*x^3-4*x^2-5*x+8) lgdogf] A153026 8.77722 [-x*(x^3-4*x^2+5*x-8)/(x+1)/(x-1)^4 ogf] A153037 11.9968 [-(-9*x^2+38*x-41)/(-9*x^3+37*x^2-51*x+23) lgdogf] A153037 13.1394 [-(9*x^2-28*x+23)/(x-1)^3 ogf] A153037 7.0151 [(281*f(x)-5583)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-28*x+23) ogf] A153037 7.19810 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23,a(1)=41,a(2)=63} ogf] A153037 8.73529 [(41-38*x-560*x^6+1536*x^7-1408*x^8+432*x^9+9*x^2)/(x-1)/(72*x^9-152*x^8+80*x^7-9*x^2+28*x-23) lgdogf] A153056 10.0624 [-(2*x^3-7*x^2+5*x-2)/(x-1)^4 ogf] A153056 16.8836 [-(-3+x-8*x^2+2*x^3)/(x-1)/(2*x^3-7*x^2+5*x-2) lgdogf] A153056 3.93303 [{(505*n^2+2969*n+3918)*a(n+1)+(-866*n^2-3922*n-3750)*a(n+2)+(361*n^2+1385*n+906)*a(n+3),a(0)=2,a(1)=3,a(2)=7} ogf] A153056 5.41823 [(2272*f(x)+6505)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-7*x^2+f(x)+5*x-2) ogf] A153056 9.56552 [-(-2*x^3+8*x^2-x+3)/(-2*x^4+9*x^3-12*x^2+7*x-2) lgdogf] A153057 15.5054 [-(-4+4*x-11*x^2+3*x^3)/(x-1)/(3*x^3-10*x^2+8*x-3) lgdogf] A153057 3.87404 [{(1081*n^2+6395*n+8466)*a(n+1)+(-1946*n^2-9118*n-9180)*a(n+2)+(865*n^2+3371*n+2328)*a(n+3),a(0)=3,a(1)=4,a(2)=8} ogf] A153057 5.23518 [-(2336*f(x)+9389)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-10*x^2+f(x)+8*x-3) ogf] A153057 9.22389 [-(-3*x^3+11*x^2-4*x+4)/(-3*x^4+13*x^3-18*x^2+11*x-3) lgdogf] A153057 9.93342 [-(3*x^3-10*x^2+8*x-3)/(x-1)^4 ogf] A153058 15.1952 [-(-5+7*x-14*x^2+4*x^3)/(x-1)/(4*x^3-13*x^2+11*x-4) lgdogf] A153058 3.77955 [{(1873*n^2+11117*n+14742)*a(n+1)+(-3458*n^2-16474*n-16986)*a(n+2)+(1585*n^2+6221*n+4398)*a(n+3),a(0)=4,a(1)=5,a(2)=9} ogf] A153058 5.45639 [(96*f(x)+505)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-13*x^2+f(x)+11*x-4) ogf] A153058 9.22389 [-(-4*x^3+14*x^2-7*x+5)/(-4*x^4+17*x^3-24*x^2+15*x-4) lgdogf] A153058 9.80768 [-(4*x^3-13*x^2+11*x-4)/(x-1)^4 ogf] A153079 13.6794 [-3*(9*x-1)/(13*x-1)/(x-1) ogf] A153079 13.7198 [-1/2*(-3-14*x+(9-24*x+144*x^2)^(1/2))/(27+13*x) revogf] A153079 16.1208 [-(5-26*x+117*x^2)/(x-1)/(13*x-1)/(9*x-1) lgdogf] A153079 6.98521 [-(44*f(x)-57)*(13*f(x)*x^2-14*f(x)*x+f(x)+27*x-3) ogf] A153079 7.72482 [{a(n+2)-14*a(n+1)+13*a(n),a(0)=3,a(1)=15} ogf] A153079 9.11958 [-(-117*x^2+26*x-5)/(-117*x^3+139*x^2-23*x+1) lgdogf] A153080 10.0926 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=15} ogf] A153080 16.4252 [-(-11*x-15)/(-11*x^2+9*x+2) lgdogf] A153080 18.2106 [(11*x+2)/(x-1)^2 ogf] A153080 27.3910 [-(-1-x+(1+13*x)^(1/2))/(-11+x) revogf] A153080 32.8692 [-(15+11*x)/(11*x+2)/(x-1) lgdogf] A153080 9.41221 [(26*f(x)+173)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-2) ogf] A153110 11.7638 [-(2*x+1)^3/(x-1)/(x+1)/(x^2+x+1) ogf] A153110 14.3833 [-(5+4*x+4*x^3+2*x^4+3*x^2)/(x-1)/(1+2*x)/(x+1)/(x^2+x+1) lgdogf] A153110 6.64085 [(1039*f(x)+72)*(f(x)*x^4+f(x)*x^3+8*x^3-f(x)*x+12*x^2-f(x)+6*x+1) ogf] A153111 13.6117 [-(x-1)/(x^2-26*x+1) ogf] A153111 14.2978 [-1/2*(-1-26*x+(1+48*x+672*x^2)^(1/2))/(1+x) revogf] A153111 19.2127 [-(25-2*x+x^2)/(x-1)/(x^2-26*x+1) lgdogf] A153111 6.73269 [-(648*f(x)-23)*(f(x)*x^2-26*f(x)*x+f(x)+x-1) ogf] A153111 7.45404 [{a(n+2)-26*a(n+1)+a(n),a(0)=1,a(1)=25} ogf] A153111 9.34536 [-(-x^2+2*x-25)/(-x^3+27*x^2-27*x+1) lgdogf] A153122 12.1971 [-1/(x^5-2*x^4+x^3+2*x^2-2*x-1) ogf] A153122 12.3594 [-(-2+4*x+5*x^4-8*x^3+3*x^2)/(2*x^2-1-2*x-2*x^4+x^3+x^5) lgdogf] A153122 6.73382 [-(5*x^4-8*x^3+3*x^2+4*x-2)/(x^5-2*x^4+x^3+2*x^2-2*x-1) lgdogf] A153126 11.7179 [(x^3-6*x^2-4*x-1)/(x+1)/(x-1)^3 ogf] A153126 13.6747 [-(-6-24*x-21*x^2+x^4-10*x^3)/(x-1)/(x+1)/(x^3-6*x^2-4*x-1) lgdogf] A153126 6.21947 [(492200*f(x)-4452641)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+6*x^2-f(x)+4*x+1) ogf] A153126 8.16699 [-(-x^4+10*x^3+21*x^2+24*x+6)/(-x^5+6*x^4+5*x^3-5*x^2-4*x-1) lgdogf] A153127 11.7151 [-(-x^2+28*x+33)/(-x^3+16*x^2-9*x-6) lgdogf] A153127 12.6599 [(x^2-15*x-6)/(x-1)^3 ogf] A153127 22.6459 [-(-33-28*x+x^2)/(x-1)/(x^2-15*x-6) lgdogf] A153127 6.27928 [(2122800*f(x)-29408687)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+15*x+6) ogf] A153127 6.88518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=33,a(2)=80} ogf] A153130 13.0735 [-(2+4*x+5*x^6+4*x^5+x^4-8*x^3+10*x^2)/(x-1)/(x+1)/(x^2-x+1)/(5*x^3+2*x^2+x+1) lgdogf] A153130 14.8607 [-(5*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A153130 9.23772 [f(x)*(f(x)*x^4-f(x)*x^3+5*x^3+f(x)*x+2*x^2-f(x)+x+1) ogf] A153169 13.7438 [-(43-22*x+3*x^2)/(-1+x)/(3*x^2-14*x+19) lgdogf] A153169 4.66197 [(149*f(x)-2661)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-14*x+19) ogf] A153169 4.78358 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=43,a(2)=75} ogf] A153169 7.97264 [-(-3*x^2+22*x-43)/(-3*x^3+17*x^2-33*x+19) lgdogf] A153169 8.73194 [-(3*x^2-14*x+19)/(x-1)^3 ogf] A153171 6.27771 [6*(x^4+2*x^3+x^2+2*x+1)/(x-1)^2/(x^2+x+1)^3 ogf] A153173 5.76869 [-(x^4+6*x^3-29*x^2-14*x+11)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A153175 3.83156 [-(x^6+16*x^5-200*x^4-290*x^3+550*x^2+96*x-29)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A153186 6.48113 [-(x^8+x^7+x^6+7*x^5+4*x^4+7*x^3+4*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A153191 11.9218 [-(-12*x-9)/(-6*x^2-9*x+1) lgdogf] A153191 15.1363 [1/12/x*(-1-9*x+(1+18*x+105*x^2)^(1/2)) revogf] A153191 15.7883 [-x/(6*x^2+9*x-1) ogf] A153191 23.9658 [-3*(4*x+3)/(6*x^2-1+9*x) lgdogf] A153191 7.21194 [{-a(n+2)+9*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A153191 9.90115 [-6*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A153192 8.26536 [-(-3*x^3-9*x^2-29*x-7)/(-x^4-2*x^3-4*x^2+2*x+5) lgdogf] A153192 8.69473 [-(x^2+2*x+5)/(x+1)^2/(x-1)^3 ogf] A153194 7.86595 [-(4*x^4+x^3+2*x^2+x+10)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A153229 5.65789 [{(-n-2)*a(n+1)+(-n-1)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A153231 12.1256 [hypergeom([1/3,2/3],[3/2],27/2*x) ogf] A153231 17.1533 [-1+f(x)-2*f(x)^3*x ogf] A153231 30.0481 [1/2*(1+(1-8*x)^(1/2))*x revogf] A153231 5.67165 [{(-27*n^2-81*n-60)*a(n+1)+(2*n^2+9*n+10)*a(n+2),a(0)=1,a(1)=2} ogf] A153232 10.6258 [-1/2*(1+(8*x^2-8*x+1)^(1/2))/(x-1)*x revogf] A153232 12.9671 [-2*f(x)^3*x+f(x)*x+f(x)-1 ogf] A153232 20.9033 [-1/2*(1+(1+8*x^2-8*x)^(1/2))/(x-1)*x revogf] A153234 14.2472 [-(-3+4*x+10*x^4-12*x^3+3*x^2)/(-1+x)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A153234 14.9971 [x^4/(x-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A153234 7.30626 [-2*f(x)*x^5+3*f(x)*x^4-f(x)*x^3+x^4-2*f(x)*x^2+3*f(x)*x-f(x) ogf] A153234 8.72280 [-(-10*x^4+12*x^3-3*x^2-4*x+3)/(-2*x^5+3*x^4-x^3-2*x^2+3*x-1) lgdogf] A153237 11.1926 [9*x^4/(x-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A153237 11.5720 [-(-3+4*x+10*x^4-12*x^3+3*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A153237 5.83547 [-2*f(x)*x^5+3*f(x)*x^4-f(x)*x^3+9*x^4-2*f(x)*x^2+3*f(x)*x-f(x) ogf] A153237 6.96685 [-(-10*x^4+12*x^3-3*x^2-4*x+3)/(-2*x^5+3*x^4-x^3-2*x^2+3*x-1) lgdogf] A153257 17.1576 [-(-3+13*x+13*x^2+x^3)/(x-1)/(x^3+5*x^2+x-1) lgdogf] A153257 3.96505 [{(-127*n^2-535*n-562)*a(n+1)+(82*n^2-64*n-30)*a(n+2)+(45*n^2+83*n-156)*a(n+3),a(0)=-1,a(1)=-3,a(2)=-1} ogf] A153257 4.97627 [-(20682*f(x)+40349)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-5*x^2+f(x)-x+1) ogf] A153257 9.04226 [-(x^3+13*x^2+13*x-3)/(x^4+4*x^3-4*x^2-2*x+1) lgdogf] A153257 9.62942 [(x^3+5*x^2+x-1)/(x-1)^4 ogf] A153258 10.6924 [2*(x^3+4*x-2)/(x-1)^4 ogf] A153258 19.3181 [-(-4+12*x+3*x^2+x^3)/(x-1)/(x^3+4*x-2) lgdogf] A153258 3.92434 [{(-43*n^2-261*n-350)*a(n+1)+(98*n^2+470*n+344)*a(n+2)+(-55*n^2-173*n-24)*a(n+3),a(0)=-4,a(1)=-8,a(2)=-8} ogf] A153258 5.46501 [(5778*f(x)+8177)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+f(x)-8*x+4) ogf] A153258 9.10835 [-(-x^3-3*x^2-12*x+4)/(-x^4+x^3-4*x^2+6*x-2) lgdogf] A153259 12.3950 [-(-143+281*x+37*x^3-151*x^2)/(x-1)/(37*x^3-131*x^2+181*x-81) lgdogf] A153259 4.65176 [(2262*f(x)+2918515)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-37*x^3-4*f(x)*x+131*x^2+f(x)-181*x+81) ogf] A153259 7.44281 [-(-37*x^3+151*x^2-281*x+143)/(-37*x^4+168*x^3-312*x^2+262*x-81) lgdogf] A153259 8.51888 [(37*x^3-131*x^2+181*x-81)/(x-1)^4 ogf] A153260 13.3722 [-(-47+101*x+13*x^3-43*x^2)/(x-1)/(13*x^3-41*x^2+61*x-27) lgdogf] A153260 4.88593 [-(150*f(x)-12071)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-13*x^3-4*f(x)*x+41*x^2+f(x)-61*x+27) ogf] A153260 8.10743 [-(-13*x^3+43*x^2-101*x+47)/(-13*x^4+54*x^3-102*x^2+88*x-27) lgdogf] A153260 9.10835 [(13*x^3-41*x^2+61*x-27)/(x-1)^4 ogf] A153263 12.2690 [-(5+18*x+19*x^2+10*x^3+3*x^4)/(x+1)/(3*x^2+5*x+3)/(x^2+x-1) lgdogf] A153263 12.9510 [-(3*x^2+5*x+3)/(x+1)/(x^2+x-1) ogf] A153263 7.30896 [-(3*x^4+10*x^3+19*x^2+18*x+5)/(3*x^5+11*x^4+13*x^3+3*x^2-5*x-3) lgdogf] A153263 7.38205 [-(175*f(x)-29)*(f(x)*x^3+2*f(x)*x^2+3*x^2-f(x)+5*x+3) ogf] A153263 7.85324 [{a(n+3)-2*a(n+1)-a(n),a(0)=3,a(1)=5,a(2)=9} ogf] A153265 3.8683 [-(45123*f(x)-256133)*(4*f(x)*x^4-4*f(x)*x^3+5*f(x)*x^2+4*x^3-f(x)*x-10*x^2+f(x)+3*x-4) ogf] A153265 7.33568 [-(1-20*x+16*x^6-80*x^5+56*x^4-80*x^3+41*x^2)/(x^2-x+1)/(1+4*x^2)/(4*x^3-10*x^2+3*x-4) lgdogf] A153265 7.48864 [-(4*x^3-10*x^2+3*x-4)/(x^2-x+1)/(4*x^2+1) ogf] A153266 10.1122 [-(-19+286*x-222*x^2+48*x^3)/(6*x-13)/(4*x+1)/(x^2-3*x+1) lgdogf] A153266 4.34932 [-(3245089763*f(x)+388371808)*(4*f(x)*x^3-11*f(x)*x^2+f(x)*x+f(x)+6*x-13) ogf] A153266 4.68388 [{a(n+3)+a(n+2)-11*a(n+1)+4*a(n),a(0)=13,a(1)=-19,a(2)=162} ogf] A153266 9.96389 [-(6*x-13)/(4*x+1)/(x^2-3*x+1) ogf] A153267 4.47509 [-(129156285*f(x)+111091408)*(4*f(x)*x^3-11*f(x)*x^2+f(x)*x+16*x^2+f(x)-34*x+5) ogf] A153267 5.16950 [{-a(n+3)-a(n+2)+11*a(n+1)-4*a(n),a(0)=-5,a(1)=39,a(2)=-110} ogf] A153267 8.87570 [-(39-142*x+418*x^2-272*x^3+64*x^4)/(4*x+1)/(x^2-3*x+1)/(16*x^2-34*x+5) lgdogf] A153267 9.36972 [-(16*x^2-34*x+5)/(4*x+1)/(x^2-3*x+1) ogf] A153284 11.4629 [-f(x)*x^2-2*x^2+f(x)-x-1 ogf] A153284 12.3987 [-(2*x^2+x+1)/(x-1)/(x+1) ogf] A153284 15.9606 [-(1+6*x+x^2)/(-1+x)/(x+1)/(x+2*x^2+1) lgdogf] A153284 7.23257 [{-a(n+3)+a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A153285 11.8258 [(2*x^4+x^3+9*x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A153285 13.4419 [-(3+22*x+12*x^2+x^4+26*x^3)/(x-1)/(x+1)/(2*x^4+x^3+9*x^2+3*x+1) lgdogf] A153285 7.77733 [(44*f(x)+97)*(f(x)*x^4-2*x^4-2*f(x)*x^2-x^3-9*x^2+f(x)-3*x-1) ogf] A153286 8.07012 [-(2*x^6+x^5+39*x^4+16*x^3+30*x^2+7*x+1)/(x-1)^3/(x+1)^3 ogf] A153286 8.51382 [-(7+66*x+90*x^5+53*x^4+276*x^3+83*x^2+x^6)/(x-1)/(x+1)/(2*x^6+x^5+39*x^4+16*x^3+30*x^2+7*x+1) lgdogf] A153315 12.8755 [-(x^2-8*x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A153315 7.39385 [(10946*f(x)+2051)*(f(x)*x^4-18*f(x)*x^2+x^2+f(x)-8*x-1) ogf] A153316 11.3636 [-(x^3-x^2-9*x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A153316 6.39735 [-(9+38*x+x^6-2*x^5-9*x^4-4*x^3+159*x^2)/(x^2+4*x-1)/(x^2-4*x-1)/(x^3-x^2-9*x-1) lgdogf] A153316 7.00933 [(2105*f(x)+196)*(f(x)*x^4-18*f(x)*x^2+x^3-x^2+f(x)-9*x-1) ogf] A153317 4.90478 [(20242*f(x)+4003)*(f(x)*x^4-22*f(x)*x^2+x^2+f(x)-10*x-1) ogf] A153317 7.62975 [-2*(5+21*x-15*x^4-2*x^3+x^5+110*x^2)/(x^2-10*x-1)/(x^4-22*x^2+1) lgdogf] A153317 8.47944 [-(x^2-10*x-1)/(x^4-22*x^2+1) ogf] A153318 4.50709 [(121452*f(x)+9067)*(f(x)*x^4-22*f(x)*x^2+x^3-x^2+f(x)-11*x-1) ogf] A153318 6.68910 [-(11+46*x-11*x^4-4*x^3+x^6-2*x^5+239*x^2)/(x^3-x^2-11*x-1)/(x^4-22*x^2+1) lgdogf] A153318 7.46697 [-(x^3-x^2-11*x-1)/(x^4-22*x^2+1) ogf] A153336 3.2894 [256*f(x)^2*x^4-256*f(x)^2*x^3+96*f(x)^2*x^2+128*f(x)*x^3-16*f(x)^2*x-160*f(x)*x^2+f(x)^2+56*f(x)*x+16*x^2-6*f(x)-8*x+5 ogf] A153336 8.99631 [-4*(16*x^2-8*x+9+(-(4*x-1)*(1+4*x)^2)^(1/2))/(16*x^2-8*x+5)/(4*x-1) lgdogf] A153337 3.47064 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2+16*f(x)^2*x+32*f(x)*x^2-64*x^3-f(x)^2-16*f(x)*x+16*x^2+2*f(x)-1 ogf] A153338 3.95491 [{(-16*n^2-88*n-120)*a(n+1)+(8*n^2+42*n+52)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=2,a(2)=18} ogf] A153338 4.65284 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2+16*f(x)^2*x+32*f(x)*x^2-f(x)^2-16*f(x)*x+2*f(x)-4*x ogf] A153338 8.57690 [(-1/2*(20*x-1)/(-1+4*x)^(1/2)+1/2*I)/(-1+4*x)^(1/2)/x lgdogf] A153339 14.4653 [(x^2-4*x-3)/(3*x^2-1) ogf] A153339 18.7755 [4*(x+1)*(3*x+1)/(3*x^2-1)/(x^2-4*x-3) lgdogf] A153339 8.43807 [{-a(n+3)+3*a(n+1),a(0)=3,a(1)=4,a(2)=8} ogf] A153339 9.32629 [-(12*x^2+16*x+4)/(-3*x^4+12*x^3+10*x^2-4*x-3) lgdogf] A153339 9.3263 [(7*f(x)-15)*(3*f(x)*x^2-x^2-f(x)+4*x+3) ogf] A153340 5.33574 [(7*f(x)-10)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+4*x^3-f(x)*x+12*x^2+f(x)-6*x-8) ogf] A153340 8.87568 [-(7+12*x-15*x^2-24*x^3+9*x^4+12*x^5+2*x^6)/(x-1)/(2*x^3+6*x^2-3*x-4)/(x^3+3*x^2-1) lgdogf] A153340 9.50856 [-2*(2*x^3+6*x^2-3*x-4)/(x-1)/(x^3+3*x^2-1) ogf] A153349 10.0276 [-(7-6*x+17*x^2-12*x^4+30*x^5-13*x^6+12*x^7+x^8)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+6*x^3-2*x^2+6*x+1) lgdogf] A153349 10.6591 [-(x^4+6*x^3-2*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A153360 6.55294 [-(x+1)*(3*x^7-15*x^6+6*x^5+58*x^4-18*x^3-42*x^2+7*x+9)/(3*x^4-6*x^3-12*x^2+4*x+5)/(x^5-3*x^4-3*x^3+4*x^2+x-1) lgdogf] A153360 7.58340 [-2*(3*x^4-6*x^3-12*x^2+4*x+5)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A153361 6.11619 [-2*(3*x^5+12*x^4-12*x^3-20*x^2+5*x+6)/(x^6+3*x^5-6*x^4-4*x^3+5*x^2+x-1) ogf] A153362 6.34674 [(f(x)-5)*(5*f(x)*x^4-x^4-5*f(x)*x^2+24*x^3+15*x^2+f(x)-16*x-9) ogf] A153362 8.10581 [4*(2*x+1)*(x+1)*(15*x^4-5*x^3-15*x^2+3*x+4)/(5*x^4-5*x^2+1)/(x^4-24*x^3-15*x^2+16*x+9) lgdogf] A153362 9.35311 [(x^4-24*x^3-15*x^2+16*x+9)/(5*x^4-5*x^2+1) ogf] A153363 6.35385 [-(f(x)-2)*(5*f(x)*x^4-x^4-5*f(x)*x^2+12*x^3+9*x^2+f(x)-8*x-5) ogf] A153363 8.66435 [4*(2+8*x+20*x^5+15*x^6-24*x^3-15*x^4+x^2)/(5*x^4-5*x^2+1)/(x^4-12*x^3-9*x^2+8*x+5) lgdogf] A153363 9.78838 [(x^4-12*x^3-9*x^2+8*x+5)/(5*x^4-5*x^2+1) ogf] A153364 10.9748 [-2*(2*x+1)*(3*x^2-2)/(5*x^4-5*x^2+1) ogf] A153364 6.76952 [-(5*f(x)-13)*(5*f(x)*x^4-5*f(x)*x^2+12*x^3+6*x^2+f(x)-8*x-4) ogf] A153364 9.34838 [-2*(2+7*x+15*x^5+15*x^6-20*x^3-15*x^4+x^2)/(2*x+1)/(3*x^2-2)/(5*x^4-5*x^2+1) lgdogf] A153365 13.6326 [-4*(3*x-2)/(5*x^2-5*x+1) ogf] A153365 13.9672 [-1/2*(-8-5*x+(64+32*x+5*x^2)^(1/2))/(12+5*x) revogf] A153365 16.1725 [-(7-20*x+15*x^2)/(3*x-2)/(5*x^2-5*x+1) lgdogf] A153365 6.81629 [-(15*f(x)+76)*(5*f(x)*x^2-5*f(x)*x+f(x)+12*x-8) ogf] A153365 7.55540 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=8,a(1)=28} ogf] A153365 9.08838 [-(-15*x^2+20*x-7)/(-15*x^3+25*x^2-13*x+2) lgdogf] A153366 12.4124 [(x^2-9*x+5)/(5*x^2-5*x+1) ogf] A153366 15.7352 [8*(2-6*x+5*x^2)/(5*x^2-5*x+1)/(x^2-9*x+5) lgdogf] A153366 6.32554 [{a(n+3)-5*a(n+2)+5*a(n+1),a(0)=5,a(1)=16,a(2)=56} ogf] A153366 6.57857 [-(87*f(x)+205)*(5*f(x)*x^2-5*f(x)*x-x^2+f(x)+9*x-5) ogf] A153366 8.43405 [-(40*x^2-48*x+16)/(-5*x^4+50*x^3-71*x^2+34*x-5) lgdogf] A153367 14.6190 [-2*(3*x-2)/(5*x^2-5*x+1) ogf] A153367 15.0034 [-1/2*(-4-5*x+(16+16*x+5*x^2)^(1/2))/(6+5*x) revogf] A153367 16.9775 [-(7-20*x+15*x^2)/(3*x-2)/(5*x^2-5*x+1) lgdogf] A153367 7.2292 [-(15*f(x)+38)*(5*f(x)*x^2-5*f(x)*x+f(x)+6*x-4) ogf] A153367 7.92598 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=4,a(1)=14} ogf] A153367 9.53414 [-(-15*x^2+20*x-7)/(-15*x^3+25*x^2-13*x+2) lgdogf] A153368 5.37045 [-4*(1+2*x)*(3*x^9+3*x^8-24*x^7-16*x^6+60*x^5+36*x^4-42*x^3-24*x^2+9*x+5)/(2*x^2-1)/(12*x^5+9*x^4-48*x^3-28*x^2+20*x+11)/(x^4-4*x^2+1) lgdogf] A153368 7.74474 [-(12*x^5+9*x^4-48*x^3-28*x^2+20*x+11)/(2*x^2-1)/(x^4-4*x^2+1) ogf] A153369 5.73075 [-(x+1)*(6*x^9+6*x^8-51*x^7-13*x^6+117*x^5+27*x^4-75*x^3-21*x^2+15*x+5)/(2*x^2-1)/(3*x^5+3*x^4-12*x^3-8*x^2+5*x+3)/(x^4-4*x^2+1) lgdogf] A153369 8.06161 [-2*(3*x^5+3*x^4-12*x^3-8*x^2+5*x+3)/(2*x^2-1)/(x^4-4*x^2+1) ogf] A153370 5.91712 [-2*(5+18*x-6*x^2-84*x^3-48*x^4+120*x^5+104*x^6-48*x^7-45*x^8+6*x^9+6*x^10)/(2*x+1)/(2*x^2-1)/(x^4-4*x^2+1)/(3*x^4-12*x^2+5) lgdogf] A153370 8.06161 [-(2*x+1)*(3*x^4-12*x^2+5)/(2*x^2-1)/(x^4-4*x^2+1) ogf] A153371 10.1530 [-2*(3*x^2-12*x+5)/(2*x-1)/(x^2-4*x+1) ogf] A153371 5.46702 [-(5*f(x)+4)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-24*x+10) ogf] A153371 5.51414 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=10,a(1)=36,a(2)=132} ogf] A153371 9.95394 [-6*(3-14*x+20*x^2-8*x^3+x^4)/(2*x-1)/(x^2-4*x+1)/(3*x^2-12*x+5) lgdogf] A153372 5.27942 [-(31*f(x)+6)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-16*x+6) ogf] A153372 5.41835 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=6,a(1)=20,a(2)=72} ogf] A153372 9.16893 [-2*(5-24*x+36*x^2-16*x^3+3*x^4)/(-1+2*x)/(3*x^2-8*x+3)/(1-4*x+x^2) lgdogf] A153372 9.96277 [-2*(3*x^2-8*x+3)/(2*x-1)/(x^2-4*x+1) ogf] A153373 5.41835 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=5,a(1)=18,a(2)=66} ogf] A153373 5.51511 [(5*f(x)+2)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-12*x+5) ogf] A153373 9.45546 [-6*(3-14*x+20*x^2-8*x^3+x^4)/(-1+2*x)/(1-4*x+x^2)/(3*x^2-12*x+5) lgdogf] A153373 9.96277 [-(3*x^2-12*x+5)/(2*x-1)/(x^2-4*x+1) ogf] A153382 10.3088 [-2*x*(4*x^2-x-4)/(x-1)/(x+1)/(x^2+x-1) ogf] A153382 11.4121 [-(5+8*x-6*x^2-18*x^3+x^4+8*x^5)/(x-1)/(x+1)/(x^2+x-1)/(4*x^2-x-4) lgdogf] A153382 5.65819 [(f(x)+7)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+8*x^3-f(x)*x-2*x^2+f(x)-8*x) ogf] A153388 10.6431 [-(2*x-3)*(2*x^3-4*x^2+6*x-3)/(x-1)/(4*x^2-7*x+4)/(x^2-3*x+1) lgdogf] A153388 12.2001 [-2*(4*x^2-7*x+4)/(x-1)/(x^2-3*x+1) ogf] A153388 6.63517 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=8,a(1)=18,a(2)=48} ogf] A153388 6.75366 [(f(x)-8)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+8*x^2-f(x)-14*x+8) ogf] A153388 7.34378 [-(4*x^4-14*x^3+24*x^2-24*x+9)/(4*x^5-23*x^4+48*x^3-48*x^2+23*x-4) lgdogf] A153435 10.3745 [-2*(-50-x+150*x^2)/(x-1)/(100*x-1)/(x+1) lgdogf] A153435 3.39935 [-(100010001*f(x)+2200330000)*(100*f(x)*x^3-f(x)*x^2-100*f(x)*x+f(x)-11) ogf] A153435 3.39936 [{a(n+3)-100*a(n+2)-a(n+1)+100*a(n),a(0)=11,a(1)=1100,a(2)=110011} ogf] A153435 9.23739 [11/(x-1)/(100*x-1)/(x+1) ogf] A153448 12.2540 [-3*x*(9*x+1)/(x-1)^3 ogf] A153448 14.2146 [-(-18*x-12)/(-9*x^2+8*x+1) lgdogf] A153448 29.1558 [-6*(2+3*x)/(9*x+1)/(x-1) lgdogf] A153448 5.97253 [-(4900*f(x)-47619)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)+3*x) ogf] A153448 6.34581 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=36} ogf] A153449 11.8992 [-11*x*(2*x+1)/(x-1)^3 ogf] A153449 14.6261 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A153449 31.4155 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A153449 6.05219 [-(27*f(x)-286)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)+11*x) ogf] A153449 6.21288 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=55} ogf] A153465 10.4919 [-(-56*x^2+136*x-71)/(-56*x^3+138*x^2-99*x+17) lgdogf] A153465 16.2960 [-2*(14*x-17)/(4*x-1)/(x-1) ogf] A153465 16.7377 [-1/8*(-34-5*x+(1156+228*x+9*x^2)^(1/2))/(7+x) revogf] A153465 17.5162 [-(71-136*x+56*x^2)/(x-1)/(14*x-17)/(-1+4*x) lgdogf] A153465 8.32512 [(219*f(x)+2636)*(4*f(x)*x^2-5*f(x)*x+f(x)+28*x-34) ogf] A153465 9.01071 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=34,a(1)=142} ogf] A153466 10.9735 [-2*(44*x^2-159*x+116)/(x-1)/(x^2-3*x+1) ogf] A153466 5.88819 [(2173*f(x)+83064)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+88*x^2-f(x)-318*x+232) ogf] A153466 6.08612 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=232,a(1)=610,a(2)=1600} ogf] A153466 9.88017 [-(305-840*x+44*x^4-318*x^3+808*x^2)/(x-1)/(x^2-3*x+1)/(44*x^2-159*x+116) lgdogf] A153497 6.03538 [(32*x^5-24*x^4+16*x^3+2*x+1)/(4*x-1)/(x-1)/(2*x^2+1)/(8*x^2+1) ogf] A153499 5.39226 [-(64*x^6-80*x^5+16*x^4-20*x^3-6*x^2-1)/(4*x-1)/(x-1)/(2*x^2+1)/(8*x^2+1) ogf] A153500 4.06207 [-(1000000*x^6-1010000*x^5+10000*x^4-10100*x^3-910*x^2-1)/(100*x-1)/(x-1)/(10*x^2+1)/(1000*x^2+1) ogf] A153509 11.4755 [-3*(x^3+2)/(x-1)/(x^6+x^3+1) ogf] A153509 14.3041 [-(2-3*x^2+6*x^3-12*x^5+15*x^6-3*x^8+4*x^9)/(x-1)/(x^3+2)/(x^6+x^3+1) lgdogf] A153511 10.9424 [-8*f(x)*x+f(x)-4 egf] A153511 16.0229 [8/(-8*x+1) lgdegf] A153511 17.9456 [-4/(8*x-1) egf] A153511 39.8258 [-8/(-1+8*x) lgdegf] A153511 4.98489 [{(-8*n-16)*a(n+1)+a(n+2),a(0)=4,a(1)=32} ogf] A153593 10.4708 [-(158*x-18)/(79*x^2-18*x+1) lgdogf] A153593 13.9331 [-1/158*(-18*x-1+(8*x^2+36*x+1)^(1/2))/x revogf] A153593 15.8557 [1/(79*x^2-18*x+1) ogf] A153593 19.4068 [-2*(-9+79*x)/(79*x^2+1-18*x) lgdogf] A153593 6.52884 [(83*f(x)+79)*(79*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A153593 6.52884 [{-a(n+2)+18*a(n+1)-79*a(n),a(0)=1,a(1)=18} ogf] A153594 13.4151 [-(26*x-8)/(13*x^2-8*x+1) lgdogf] A153594 15.6232 [-1/26*(-1-8*x+(1+16*x+12*x^2)^(1/2))/x revogf] A153594 19.7281 [1/(13*x^2-8*x+1) ogf] A153594 21.9882 [-2*(-4+13*x)/(13*x^2+1-8*x) lgdogf] A153594 7.98519 [(19*f(x)+13)*(13*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A153594 8.08140 [{-a(n+2)+8*a(n+1)-13*a(n),a(0)=1,a(1)=8} ogf] A153596 12.5879 [-(44*x-10)/(22*x^2-10*x+1) lgdogf] A153596 14.8250 [-1/44*(-1-10*x+(1+20*x+12*x^2)^(1/2))/x revogf] A153596 18.7021 [1/(22*x^2-10*x+1) ogf] A153596 20.6491 [-2*(-5+22*x)/(22*x^2+1-10*x) lgdogf] A153596 7.70085 [(14*f(x)+11)*(22*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A153596 7.70085 [{-a(n+2)+10*a(n+1)-22*a(n),a(0)=1,a(1)=10} ogf] A153597 12.0405 [-(66*x-12)/(33*x^2-12*x+1) lgdogf] A153597 15.7468 [-1/66*(-1-12*x+(1+24*x+12*x^2)^(1/2))/x revogf] A153597 17.8888 [1/(33*x^2-12*x+1) ogf] A153597 21.9330 [-6*(-2+11*x)/(33*x^2+1-12*x) lgdogf] A153597 7.36598 [(13*f(x)+11)*(33*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A153597 7.36598 [{-a(n+2)+12*a(n+1)-33*a(n),a(0)=1,a(1)=12} ogf] A153598 12.6742 [-(92*x-14)/(46*x^2-14*x+1) lgdogf] A153598 14.7977 [-1/92*(-1-14*x+(1+28*x+12*x^2)^(1/2))/x revogf] A153598 18.8303 [1/(46*x^2-14*x+1) ogf] A153598 20.6111 [-2*(-7+46*x)/(46*x^2+1-14*x) lgdogf] A153598 7.75366 [(26*f(x)+23)*(46*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A153598 7.75366 [{-a(n+2)+14*a(n+1)-46*a(n),a(0)=1,a(1)=14} ogf] A153599 13.1699 [-(122*x-16)/(61*x^2-16*x+1) lgdogf] A153599 13.5847 [-1/122*(-1-16*x+(1+32*x+12*x^2)^(1/2))/x revogf] A153599 19.4068 [-2*(-8+61*x)/(61*x^2+1-16*x) lgdogf] A153599 19.9430 [1/(61*x^2-16*x+1) ogf] A153599 8.21182 [{-a(n+2)+16*a(n+1)-61*a(n),a(0)=1,a(1)=16} ogf] A153599 8.21183 [(67*f(x)+61)*(61*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A153600 13.3395 [-(156*x-18)/(78*x^2-18*x+1) lgdogf] A153600 13.6570 [-1/156*(-18*x-1+(12*x^2+36*x+1)^(1/2))/x revogf] A153600 19.5100 [-6*(-3+26*x)/(78*x^2+1-18*x) lgdogf] A153600 20.1998 [1/(78*x^2-18*x+1) ogf] A153600 8.03401 [(979*f(x)+1937)*(78*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A153600 8.31755 [{-a(n+2)+18*a(n+1)-78*a(n),a(0)=1,a(1)=18} ogf] A153642 11.9238 [-(2*x^2-14*x+18)/(2*x^3-11*x^2+18*x-9) lgdogf] A153642 12.8701 [-4*(2*x-3)*(x-3)/(x-1)^3 ogf] A153642 23.3998 [-2*(9-7*x+x^2)/(x-1)/(x-3)/(2*x-3) lgdogf] A153642 6.81361 [(291*f(x)-22631)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-36*x+36) ogf] A153642 6.98982 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=72,a(2)=116} ogf] A153643 12.8226 [-(5*x^2+x-2)/(x-1)/(2*x-1)/(x+1) ogf] A153643 13.0162 [-(3-6*x+10*x^4+4*x^3-3*x^2)/(x-1)/(2*x-1)/(x+1)/(5*x^2+x-2) lgdogf] A153643 6.7429 [-(2*f(x)-13)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+5*x^2+f(x)+x-2) ogf] A153643 6.98372 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=3,a(2)=3} ogf] A153643 7.90078 [-(-10*x^4-4*x^3+3*x^2+6*x-3)/(-10*x^5+3*x^4+15*x^3-5*x^2-5*x+2) lgdogf] A153644 11.8062 [-(5*x^2-34*x+41)/(5*x^3-27*x^2+43*x-21) lgdogf] A153644 12.7285 [-2*(5*x-7)*(x-3)/(x-1)^3 ogf] A153644 17.0516 [-(41-34*x+5*x^2)/(x-1)/(x-3)/(5*x-7) lgdogf] A153644 6.90361 [(25*f(x)-2904)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-44*x+42) ogf] A153644 7.02263 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=42,a(1)=82,a(2)=130} ogf] A153647 14.1660 [-2/(3*x-1)^3 egf] A153647 15.6273 [x/(1+3*x)^(1/2)/(1+(1+3*x)^(1/2)) revegf] A153647 21.7550 [9/(-3*x+1) lgdegf] A153647 5.80134 [-(f(x)-2)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)+2) egf] A153647 51.5702 [-9/(3*x-1) lgdegf] A153647 6.76822 [{(-3*n-12)*a(n+1)+a(n+2),a(0)=2,a(1)=18} ogf] A153671 12.6645 [2*(-349*x-276+380880*x^66+380880*x^67)/(349*x^2-276-73*x+380880*x^66) lgdogf] A153671 68.3028 [[2] ogf_with_Euler_transform] A153671 8.32617 [-(1600*x^67+3200*x^66+51*x+40)/(4800*x^67-3200*x^66-51*x^3+62*x^2+29*x-40) ogf] A153671 8.99899 [-(-761760*x^67-761760*x^66+698*x+552)/(380880*x^66+349*x^2-73*x-276) lgdogf] A153703 10.6417 [-(27*x^2-6*x-13)/(9*x^3-9*x^2-x+1) lgdogf] A153703 10.8054 [(3*x+1)/(x-1)/(3*x-1)^3 ogf] A153703 17.6830 [-(-13-6*x+27*x^2)/(x-1)/(3*x-1)/(3*x+1) lgdogf] A153703 3.45985 [{(n+4)*a(n+4)+(-16-n)*a(n+3)+(-24-9*n)*a(n+2)+(36+9*n)*a(n+1),a(0)=1,a(1)=13,a(2)=94,a(3)=526} ogf] A153703 5.28083 [(51912*f(x)+24917)*(27*f(x)*x^4-54*f(x)*x^3+36*f(x)*x^2-10*f(x)*x+f(x)-3*x-1) ogf] A153709 10.3186 [-(-182*x^2-52*x-18)/(-182*x^3-103*x^2-4*x+1) lgdogf] A153709 15.5523 [1/2/(7+26*x)*(-1-11*x+((5*x+1)*(45*x+1))^(1/2)) revogf] A153709 15.8073 [-(7*x+1)/(2*x+1)/(13*x-1) ogf] A153709 16.9990 [-2*(9+26*x+91*x^2)/(7*x+1)/(1+2*x)/(13*x-1) lgdogf] A153709 8.25491 [(125*f(x)+37)*(26*f(x)*x^2+11*f(x)*x-f(x)+7*x+1) ogf] A153709 8.74048 [{a(n+2)-11*a(n+1)-26*a(n),a(0)=1,a(1)=18} ogf] A153727 10.3260 [-(2*x^4+8*x^3+3*x^2+4*x+4)/(2*x^5+4*x^4+x^3-2*x^2-4*x-1) lgdogf] A153727 13.0433 [{a(n+3)-a(n),a(0)=1,a(1)=4,a(2)=2} ogf] A153727 13.2172 [(f(x)+7)*(f(x)*x^3+2*x^2-f(x)+4*x+1) ogf] A153727 17.3692 [-(4+4*x+3*x^2+8*x^3+2*x^4)/(x-1)/(x^2+x+1)/(2*x^2+4*x+1) lgdogf] A153727 20.2305 [-(2*x^2+4*x+1)/(x-1)/(x^2+x+1) ogf] A153728 99.9999 Evaluated at exp(-Pi) 3/8*exp(1/6*Pi)*Pi^2*2^(1/2)/GAMMA(3/4)^8 A153729 99.9999 Evaluated at exp(-Pi) 3/8*exp(1/3*Pi)*Pi^2/GAMMA(3/4)^8 A153732 14.2167 [-a(n)+(-1-n)*a(n+1),a(0)=3,a(1)=-1 lgdegf] A153732 15.9938 [2+exp(-x) lgdegf] A153760 79.0981 [-8/(-1+x) lgdogf] A153761 4.36848 [3628800*x^10/(x-1)/(1279935820801*x^11-11*x^10+55*x^9-165*x^8+330*x^7-462*x^6+462*x^5-330*x^4+165*x^3-55*x^2+11*x-1) ogf] A153772 11.1876 [(5*x^2-1)/(x-1)/(2*x-1)/(x+1) ogf] A153772 5.74501 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=-1,a(1)=-2,a(2)=0} ogf] A153772 5.95977 [(f(x)+1)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-5*x^2+f(x)+1) ogf] A153772 7.00765 [-(-10*x^4-4*x^2+8*x-2)/(-10*x^5+5*x^4+12*x^3-6*x^2-2*x+1) lgdogf] A153773 12.5615 [-(2-7*x^2+6*x^3+3*x^4)/(x-1)/(-1+3*x)/(x+1)/(x^2+x-1) lgdogf] A153773 12.9724 [-(x^2+x-1)/(x-1)/(3*x-1)/(x+1) ogf] A153773 6.881 [-(7*f(x)+5)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1) ogf] A153773 7.06532 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A153773 8.60126 [-(-3*x^4-6*x^3+7*x^2-2)/(-3*x^5-2*x^4+7*x^3+x^2-4*x+1) lgdogf] A153774 12.5111 [-(3-2*x-3*x^2+6*x^4)/(x-1)/(3*x-1)/(x+1)/(2*x^2-1) lgdogf] A153774 14.1190 [-(2*x^2-1)/(x-1)/(3*x-1)/(x+1) ogf] A153774 7.18557 [-(11*f(x)+5)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+2*x^2+f(x)-1) ogf] A153774 7.18558 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A153774 9.14528 [-(-6*x^4+3*x^2+2*x-3)/(-6*x^5+2*x^4+9*x^3-3*x^2-3*x+1) lgdogf] A153780 11.7759 [-10*x*(2*x+1)/(x-1)^3 ogf] A153780 14.4746 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A153780 29.7333 [-(5+4*x)/(2*x+1)/(-1+x) lgdogf] A153780 5.98947 [-(27*f(x)-260)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+10*x) ogf] A153780 6.14850 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=50} ogf] A153783 12.1277 [-3*x*(8*x+1)/(x-1)^3 ogf] A153783 14.0681 [-(-16*x-11)/(-8*x^2+7*x+1) lgdogf] A153783 27.6965 [-(11+16*x)/(8*x+1)/(-1+x) lgdogf] A153783 5.91096 [-(3807*f(x)-33215)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+3*x) ogf] A153783 6.28039 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=33} ogf] A153784 12.7414 [-4*x*(4*x+1)/(x-1)^3 ogf] A153784 15.3958 [-(-8*x-7)/(-4*x^2+3*x+1) lgdogf] A153784 33.0845 [-(7+8*x)/(4*x+1)/(x-1) lgdogf] A153784 6.31625 [-(175*f(x)-1116)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+4*x) ogf] A153784 6.59821 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=28} ogf] A153785 12.0645 [-5*x*(4*x+1)/(x-1)^3 ogf] A153785 14.5779 [-(-8*x-7)/(-4*x^2+3*x+1) lgdogf] A153785 29.9456 [-(7+8*x)/(1+4*x)/(-1+x) lgdogf] A153785 6.0847 [-(35*f(x)-279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+5*x) ogf] A153785 6.24768 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=35} ogf] A153786 12.3171 [-6*x*(4*x+1)/(x-1)^3 ogf] A153786 14.8832 [-(-8*x-7)/(-4*x^2+3*x+1) lgdogf] A153786 31.9729 [-(7+8*x)/(4*x+1)/(x-1) lgdogf] A153786 6.10594 [-(175*f(x)-1674)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+6*x) ogf] A153786 6.37852 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=42} ogf] A153792 11.9609 [-12*x*(2*x+1)/(x-1)^3 ogf] A153792 14.7019 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A153792 31.5809 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A153792 6.13645 [-(9*f(x)-104)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+12*x) ogf] A153792 6.24506 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=60} ogf] A153793 12.0225 [-13*x*(2*x+1)/(x-1)^3 ogf] A153793 14.7777 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A153793 31.7462 [-(5+4*x)/(2*x+1)/(x-1) lgdogf] A153793 6.11491 [-(27*f(x)-338)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+26*x^2-f(x)+13*x) ogf] A153793 6.27726 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=65} ogf] A153794 12.0013 [-4*x*(5*x+1)/(x-1)^3 ogf] A153794 14.2056 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A153794 28.5452 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A153794 5.89896 [-(1215*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+4*x) ogf] A153794 6.21496 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=32} ogf] A153795 12.3171 [-5*x*(5*x+1)/(x-1)^3 ogf] A153795 14.5795 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A153795 29.3085 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A153795 6.10594 [-(972*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+5*x) ogf] A153795 6.37852 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=40} ogf] A153796 13.9840 [-6*x*(5*x+1)/(x-1)^3 ogf] A153796 16.5525 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A153796 28.7976 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A153796 6.93226 [-(810*f(x)-9331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+30*x^2-f(x)+6*x) ogf] A153796 7.24173 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=48} ogf] A153797 12.1671 [-7*x*(5*x+1)/(x-1)^3 ogf] A153797 14.4019 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A153797 28.9492 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A153797 5.93018 [-(4860*f(x)-65317)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+35*x^2-f(x)+7*x) ogf] A153797 6.30082 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=56} ogf] A153808 12.3553 [-8*x*(5*x+1)/(x-1)^3 ogf] A153808 14.6246 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A153808 29.4039 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A153808 6.02189 [-(1215*f(x)-18662)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+40*x^2-f(x)+8*x) ogf] A153808 6.39826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=64} ogf] A153814 13.0249 [-f(x)*x^2+2*f(x)*x-f(x)+1001 ogf] A153814 22.4318 [1001/(x-1)^2 ogf] A153814 28.8409 [2/(-x+1) lgdogf] A153814 61.6634 [[2] ogf_with_Euler_transform] A153814 9.17665 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1001,a(1)=2002} ogf] A153819 10.4983 [-(17-48*x+8*x^4-30*x^3+52*x^2)/(x-1)/(8*x^2-15*x+8)/(x^2-3*x+1) lgdogf] A153819 12.1834 [-2*(8*x^2-15*x+8)/(x-1)/(x^2-3*x+1) ogf] A153819 6.4441 [-(47*f(x)+384)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+16*x^2-f(x)-30*x+16) ogf] A153819 6.78030 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=16,a(1)=34,a(2)=88} ogf] A153819 7.35599 [-(8*x^4-30*x^3+52*x^2-48*x+17)/(8*x^5-47*x^4+100*x^3-100*x^2+47*x-8) lgdogf] A153848 11.1821 [21/(100*x-1)/(x-1) ogf] A153848 14.3097 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A153848 4.72133 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=21,a(1)=2121} ogf] A153848 5.84479 [-1/1400*(-707*x-147+(27*x+7)^(1/2)*(121*x+21)^(1/2)*7^(1/2)*21^(1/2))/x revogf] A153848 6.44157 [(10001*f(x)+4200)*(100*f(x)*x^2-101*f(x)*x+f(x)-21) ogf] A153873 12.6140 [-(17-48*x+52*x^2-30*x^3+8*x^4)/(x-1)/(8*x^2-15*x+8)/(x^2-3*x+1) lgdogf] A153873 13.0347 [-(8*x^2-15*x+8)/(x-1)/(x^2-3*x+1) ogf] A153873 6.79118 [-(47*f(x)+192)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+8*x^2-f(x)-15*x+8) ogf] A153873 7.08905 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=8,a(1)=17,a(2)=44} ogf] A153873 7.62408 [-(8*x^4-30*x^3+52*x^2-48*x+17)/(8*x^5-47*x^4+100*x^3-100*x^2+47*x-8) lgdogf] A153875 11.9162 [-3*x*(10*x+1)/(x-1)^3 ogf] A153875 13.5518 [-(-20*x-13)/(-10*x^2+9*x+1) lgdogf] A153875 27.2092 [-(13+20*x)/(1+10*x)/(x-1) lgdogf] A153875 5.71191 [-(24805*f(x)-265734)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+30*x^2-f(x)+3*x) ogf] A153875 6.17091 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=39} ogf] A153881 10.2972 [f(x)*(f(x)*x-f(x)-2*x+1) ogf] A153881 16.4199 [(2*x-1)/(x-1) ogf] A153881 18.9855 [1/(-2*x^2+3*x-1) lgdogf] A153881 28.5061 [1/4+1/4*x-1/4*(1-6*x+x^2)^(1/2) revogf] A153881 55.2305 [-1/(2*x-1)/(x-1) lgdogf] A153881 8.43800 [{-a(n+2)+a(n+1),a(0)=1,a(1)=-1} ogf] A153882 12.2134 [-(62*x-12)/(31*x^2-12*x+1) lgdogf] A153882 15.9772 [-1/62*(-1-12*x+(1+24*x+20*x^2)^(1/2))/x revogf] A153882 18.1456 [1/(31*x^2-12*x+1) ogf] A153882 22.2540 [-2*(-6+31*x)/(31*x^2+1-12*x) lgdogf] A153882 7.47171 [(41*f(x)+31)*(31*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A153882 7.47171 [{-a(n+2)+12*a(n+1)-31*a(n),a(0)=1,a(1)=12} ogf] A153884 11.4946 [-(88*x-14)/(44*x^2-14*x+1) lgdogf] A153884 15.0242 [-1/88*(-1-14*x+(1+28*x+20*x^2)^(1/2))/x revogf] A153884 17.0777 [1/(44*x^2-14*x+1) ogf] A153884 20.9266 [-2*(-7+44*x)/(44*x^2+1-14*x) lgdogf] A153884 7.03201 [(27*f(x)+22)*(44*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A153884 7.03201 [{-a(n+2)+14*a(n+1)-44*a(n),a(0)=1,a(1)=14} ogf] A153885 13.1699 [-(118*x-16)/(59*x^2-16*x+1) lgdogf] A153885 13.5847 [-1/118*(-1-16*x+(1+32*x+20*x^2)^(1/2))/x revogf] A153885 19.4068 [-2*(-8+59*x)/(59*x^2+1-16*x) lgdogf] A153885 19.9430 [1/(59*x^2-16*x+1) ogf] A153885 8.21182 [{-a(n+2)+16*a(n+1)-59*a(n),a(0)=1,a(1)=16} ogf] A153885 8.21183 [(69*f(x)+59)*(59*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A153886 12.1666 [-(152*x-18)/(76*x^2-18*x+1) lgdogf] A153886 12.3245 [-1/152*(-18*x-1+(20*x^2+36*x+1)^(1/2))/x revogf] A153886 17.6064 [-2*(-9+76*x)/(76*x^2+1-18*x) lgdogf] A153886 18.4238 [1/(76*x^2-18*x+1) ogf] A153886 7.58626 [(43*f(x)+38)*(76*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A153886 7.58626 [{-a(n+2)+18*a(n+1)-76*a(n),a(0)=1,a(1)=18} ogf] A153893 10.9458 [-(-2*x^2+8*x-5)/(-2*x^3+7*x^2-7*x+2) lgdogf] A153893 14.6127 [1/2*ln(1+2*x)+arctanh((6*x+4)^(1/2))-arctanh(2) revegf] A153893 15.5674 [-(x-2)/(2*x-1)/(x-1) ogf] A153893 20.1999 [-(5-8*x+2*x^2)/(x-1)/(x-2)/(2*x-1) lgdogf] A153893 8.14574 [(7*f(x)+11)*(2*f(x)*x^2-3*f(x)*x+f(x)+x-2) ogf] A153893 8.54310 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=2,a(1)=5} ogf] A153894 10.1528 [-(-6*x^2+16*x-9)/(-6*x^3+17*x^2-15*x+4) lgdogf] A153894 11.2989 [1/2*ln(2*x+3)+arctanh((10*x+16)^(1/2))-1/2*ln(3)-arctanh(4) revegf] A153894 15.1164 [-(3*x-4)/(2*x-1)/(x-1) ogf] A153894 18.0172 [-(9-16*x+6*x^2)/(x-1)/(3*x-4)/(2*x-1) lgdogf] A153894 7.81884 [(11*f(x)+37)*(2*f(x)*x^2-3*f(x)*x+f(x)+3*x-4) ogf] A153894 8.29561 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=4,a(1)=9} ogf] A153972 10.2465 [-(-26*x^2+28*x-8)/(-26*x^3+53*x^2-34*x+7) lgdogf] A153972 11.047 [-2*f(x)*x^2+3*f(x)*x-f(x)-13*x+7 ogf] A153972 15.3698 [-(13*x-7)/(2*x-1)/(x-1) ogf] A153972 16.5035 [-1/2*(-7-3*x+(49-10*x+x^2)^(1/2))/(13+2*x) revogf] A153972 16.9060 [-2*(4-14*x+13*x^2)/(x-1)/(2*x-1)/(13*x-7) lgdogf] A153972 8.62209 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=7,a(1)=8} ogf] A153973 10.2522 [-(-10*x^2+12*x-4)/(-10*x^3+21*x^2-14*x+3) lgdogf] A153973 10.5101 [1/2*ln(2*x+15)-arctanh(1/6*(6*x+81)^(1/2))-1/2*ln(15)+arctanh(3/2) revegf] A153973 11.0531 [2*f(x)*x^2-3*f(x)*x+f(x)+15*x-9 ogf] A153973 15.3783 [-3*(5*x-3)/(2*x-1)/(x-1) ogf] A153973 18.2544 [-2*(2-6*x+5*x^2)/(x-1)/(5*x-3)/(2*x-1) lgdogf] A153973 8.52292 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=9,a(1)=12} ogf] A153976 11.2562 [4*(2*x^2-x+2)/(x-1)^4 ogf] A153976 12.1355 [-(-4*x^2-x-7)/(-2*x^3+3*x^2-3*x+2) lgdogf] A153976 25.4007 [-(7+x+4*x^2)/(x-1)/(2*x^2-x+2) lgdogf] A153976 3.86405 [{(2*n+8)*a(n+4)+(-16-3*n)*a(n+3)+(5+3*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=8,a(1)=28,a(2)=72,a(3)=152} ogf] A153976 6.21434 [(5*f(x)+16)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)+4*x-8) ogf] A153977 12.2170 [-(-6*x^2-9)/(-2*x^3+3*x^2-3*x+2) lgdogf] A153977 23.9524 [-3*(3+2*x^2)/(x-1)/(2*x^2-x+2) lgdogf] A153977 3.68350 [{(-2*n-8)*a(n+4)+(18+3*n)*a(n+3)+(-3*n-6)*a(n+2)+(8+2*n)*a(n+1),a(0)=2,a(1)=9,a(2)=27,a(3)=65} ogf] A153977 9.27870 [-(2*x^2-x+2)/(x-1)^5 ogf] A153978 10.0143 [-2*x*(2*x+1)/(x-1)^5 ogf] A153978 15.6473 [-(8*x+7)/(2*x^2-x-1) lgdogf] A153978 33.6472 [-(7+8*x)/(2*x+1)/(x-1) lgdogf] A153978 5.00714 [{(n+2)*a(n+3)+(-6+n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=14} ogf] A153981 10.9120 [-(17-48*x+52*x^2-30*x^3+8*x^4)/(x-1)/(8*x^2-15*x+8)/(x^2-3*x+1) lgdogf] A153981 10.9452 [-4*(8*x^2-15*x+8)/(x-1)/(x^2-3*x+1) ogf] A153981 5.78918 [-(47*f(x)+768)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+32*x^2-f(x)-60*x+32) ogf] A153981 6.03872 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=32,a(1)=68,a(2)=176} ogf] A153981 6.60842 [-(8*x^4-30*x^3+52*x^2-48*x+17)/(8*x^5-47*x^4+100*x^3-100*x^2+47*x-8) lgdogf] A153990 10.6782 [-(8*x^5+7*x^4+4*x^3+5*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A154021 10.3695 [-(2*x-16)/(x^2-16*x+1) lgdogf] A154021 13.0764 [-(-8*x-2+(9*x+2)^(1/2)*(2+7*x)^(1/2))/x revogf] A154021 13.6441 [4*x/(x^2-16*x+1) ogf] A154021 23.1808 [-2*(-8+x)/(x^2+1-16*x) lgdogf] A154021 6.32289 [{a(n+2)-16*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A154021 8.6413 [-f(x)*x^2+16*f(x)*x-f(x)+4*x ogf] A154022 10.2031 [-(2*x-25)/(x^2-25*x+1) lgdogf] A154022 10.9095 [-1/2*(-25*x-5+(27*x+5)^(1/2)*(23*x+5)^(1/2))/x revogf] A154022 13.4252 [5*x/(x^2-25*x+1) ogf] A154022 21.8191 [-(-25+2*x)/(x^2+1-25*x) lgdogf] A154022 6.22143 [{a(n+2)-25*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A154022 8.50261 [-f(x)*x^2+25*f(x)*x-f(x)+5*x ogf] A154023 11.2013 [-(2*x-36)/(x^2-36*x+1) lgdogf] A154023 13.1368 [-(-3-18*x+(19*x+3)^(1/2)*(17*x+3)^(1/2))/x revogf] A154023 14.7385 [6*x/(x^2-36*x+1) ogf] A154023 23.9889 [-2*(-18+x)/(x^2+1-36*x) lgdogf] A154023 6.83004 [{a(n+2)-36*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A154023 9.33438 [-f(x)*x^2+36*f(x)*x-f(x)+6*x ogf] A154024 11.5285 [7*x/(x^2-49*x+1) ogf] A154024 18.7029 [-(-49+2*x)/(x^2+1-49*x) lgdogf] A154024 5.34249 [{a(n+2)-49*a(n+1)+a(n),a(0)=0,a(1)=7} ogf] A154024 7.30139 [-f(x)*x^2+49*f(x)*x-f(x)+7*x ogf] A154024 8.76168 [-(2*x-49)/(x^2-49*x+1) lgdogf] A154024 9.35145 [-1/2*(-49*x-7+(51*x+7)^(1/2)*(47*x+7)^(1/2))/x revogf] A154025 10.8864 [-(2*x-64)/(x^2-64*x+1) lgdogf] A154025 12.7665 [-(-32*x-4+(33*x+4)^(1/2)*(31*x+4)^(1/2))/x revogf] A154025 14.3242 [8*x/(x^2-64*x+1) ogf] A154025 23.3128 [-2*(-32+x)/(x^2+1-64*x) lgdogf] A154025 6.63802 [{a(n+2)-64*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A154025 9.07197 [-f(x)*x^2+64*f(x)*x-f(x)+8*x ogf] A154026 11.0904 [-f(x)*x^2+81*f(x)*x-f(x)+9*x ogf] A154026 13.3084 [-(2*x-81)/(x^2-81*x+1) lgdogf] A154026 14.2849 [-1/2*(-9-81*x+(83*x+9)^(1/2)*(79*x+9)^(1/2))/x revogf] A154026 17.5111 [9*x/(x^2-81*x+1) ogf] A154026 28.5697 [-(-81+2*x)/(x^2+1-81*x) lgdogf] A154026 8.11490 [{a(n+2)-81*a(n+1)+a(n),a(0)=0,a(1)=9} ogf] A154027 11.6244 [-(-5-50*x+(51*x+5)^(1/2)*(49*x+5)^(1/2))/x revogf] A154027 12.4036 [10*x/(x^2-100*x+1) ogf] A154027 20.3428 [-2*(-50+x)/(x^2+1-100*x) lgdogf] A154027 5.90646 [{a(n+2)-100*a(n+1)+a(n),a(0)=0,a(1)=10} ogf] A154027 8.0023 [-f(x)*x^2+100*f(x)*x-f(x)+10*x ogf] A154027 9.54121 [-(2*x-100)/(x^2-100*x+1) lgdogf] A154031 7.09597 [(118+40*x+30*x^6+28*x^5+100*x^4-158*x^3-143*x^2)/(x-1)/(6*x^6+16*x^5+60*x^4+41*x^3-20*x^2-63*x-55) lgdogf] A154031 8.57322 [(6*x^6+16*x^5+60*x^4+41*x^3-20*x^2-63*x-55)/(x-1) ogf] A154032 6.00901 [-(2*x^6+2*x^5+2*x^4+11*x^3+12*x^2+3*x+1)/(x-1)/(x+1)/(x^2+x+1) ogf] A154033 9.53191 [(6*x^5+4*x^4-12*x^3-21*x^2-23*x-10)/(x-1)/(x+1) ogf] A154034 6.19567 [(164+168*x-126*x^3-207*x^2-149*x^4+258*x^6+36*x^7-116*x^5)/(x-1)/(6*x^7+60*x^6+61*x^5+52*x^4+41*x^3-84*x^2-108*x-56) lgdogf] A154034 7.90258 [(6*x^7+60*x^6+61*x^5+52*x^4+41*x^3-84*x^2-108*x-56)/(x-1) ogf] A154035 5.14350 [(42-24*x+5*x^6+6*x^5+18*x^4-16*x^3-30*x^2)/(-1+x)/(x^6+3*x^5+11*x^4+14*x^3+12*x^2-14*x-28) lgdogf] A154035 5.84167 [(x^6+3*x^5+11*x^4+14*x^3+12*x^2-14*x-28)/(x-1) ogf] A154037 5.07555 [x*(6*x^9-4*x^6+8*x^4-15*x^3-8*x-14)/(x-1)/(x^2+x+1) ogf] A154037 5.66770 [(8-66*x^8+8*x^6+24*x^5-16*x^3+87*x^2+36*x^11)/(-1+x)/(x^2+x+1)/(6*x^9-4*x^6+8*x^4-15*x^3-8*x-14) lgdogf] A154038 7.04606 [(3*x^8+6*x^7+12*x^6+6*x^5+3*x^4-13*x^3-24*x^2-25*x-14)/(x-1)/(x^2+x+1) ogf] A154039 6.30068 [(12*x^10+276*x^9+669*x^8+986*x^7+492*x^6-244*x^5-1395*x^4-1263*x^3-1046*x^2-503*x-126)/(x-1)/(x^2+x+1) ogf] A154040 4.38157 [(2*x^9-2*x^8+6*x^7-4*x^6+7*x^5+3*x^4-3*x^3-2*x^2-7*x-4)/(x-1) ogf] A154041 5.10486 [(7*x^8+x^7+11*x^6-4*x^5+47*x^4-18*x^3+44*x^2-69*x-27)/(x-1) ogf] A154042 6.80491 [(8*x^9+373*x^8+1017*x^7+2759*x^6+1216*x^5+2595*x^4-1098*x^3-3812*x^2-2563*x-715)/(x-1) ogf] A154044 6.50422 [(40+26*x^6-82*x^5+42*x^7+14*x^4-38*x^3+8*x^9-9*x^8+9*x^2)/(x-1)/(x^9+7*x^7+15*x^6+2*x^5+8*x^4-3*x^3-20*x-20) lgdogf] A154044 8.16702 [(x^9+7*x^7+15*x^6+2*x^5+8*x^4-3*x^3-20*x-20)/(x-1) ogf] A154047 5.25301 [(7*x^11+9*x^10+84*x^9+45*x^8+108*x^7+64*x^6+25*x^5-38*x^4-203*x^3-108*x^2-191*x-42)/(x-1)/(x+1)/(x^2+1) ogf] A154048 5.31502 [(4*x^9+x^7+2*x^6+x^4-5*x^3-3*x^2-6*x-2)/(x-1)/(x+1)/(x^2+1) ogf] A154051 5.93739 [(4*x^10+6*x^9+12*x^8+40*x^7+34*x^6+63*x^5+142*x^4-6*x^3-x^2-177*x-144)/(x-1) ogf] A154053 4.67877 [(18*x^11+3012*x^10+9496*x^9+30456*x^8+102776*x^7+45838*x^6+132219*x^5+30668*x^4-121704*x^3-155537*x^2-68125*x-11628)/(x-1) ogf] A154055 4.54872 [(3*x^12+20*x^11+42*x^10+70*x^9+81*x^8+70*x^7+35*x^6-23*x^5-82*x^4-142*x^3-145*x^2-97*x-30)/(x-1)/(x+1)/(x^2+x+1) ogf] A154057 4.85166 [(4*x^13+2*x^12-6*x^11+7*x^10+29*x^9-2*x^8+23*x^7-30*x^6+6*x^5+28*x^4-38*x^3-11*x^2-15*x-10)/(x-1) ogf] A154068 4.29574 [(x^12-x^11+2*x^8-x^7+5*x^6-4*x^5+9*x^4-6*x^3+8*x^2-11*x-4)/(x-1) ogf] A154079 4.34253 [(x^12+x^11+x^10+11*x^9+2*x^8+9*x^7+3*x^6+2*x^5-x^4-23*x^3-8*x^2-23*x-6)/(x-1)/(x+1)/(x^2+1) ogf] A154105 12.2941 [-(x^2+34*x+37)/(x^3+15*x^2-9*x-7) lgdogf] A154105 13.2855 [-(x^2+16*x+7)/(x-1)^3 ogf] A154105 24.5048 [-(37+34*x+x^2)/(x-1)/(x^2+16*x+7) lgdogf] A154105 7.0402 [(664*f(x)-9211)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+16*x+7) ogf] A154105 7.22546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=37,a(2)=91} ogf] A154106 11.0666 [-(x^2+26*x+45)/(x^3+11*x^2-x-11) lgdogf] A154106 11.9450 [-(x+11)*(x+1)/(x-1)^3 ogf] A154106 22.3568 [-(45+26*x+x^2)/(x+11)/(x-1)/(x+1) lgdogf] A154106 6.0688 [(142776*f(x)-2083865)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+12*x+11) ogf] A154106 6.48734 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=45,a(2)=103} ogf] A154117 13.0880 [(3*x^2-x+1)/(2*x-1)/(x-1) ogf] A154117 16.5837 [-(-2-2*x+7*x^2)/(x-1)/(2*x-1)/(3*x^2-x+1) lgdogf] A154117 6.80065 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A154117 7.45877 [(-1+2*f(x))*(2*f(x)*x^2-3*f(x)*x-3*x^2+f(x)+x-1) ogf] A154117 9.50227 [-(7*x^2-2*x-2)/(6*x^4-11*x^3+8*x^2-4*x+1) lgdogf] A154118 10.4895 [-(13*x^2-6*x-2)/(10*x^4-17*x^3+10*x^2-4*x+1) lgdogf] A154118 15.0416 [(5*x^2-x+1)/(2*x-1)/(x-1) ogf] A154118 7.81573 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=9} ogf] A154118 7.89311 [-(219*f(x)-251)*(2*f(x)*x^2-3*f(x)*x-5*x^2+f(x)+x-1) ogf] A154127 11.2973 [-(4*x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A154127 6.23609 [(2494*f(x)+3209)*(f(x)*x^4-f(x)*x^3+4*x^3+f(x)*x+3*x^2-f(x)+x+1) ogf] A154127 8.15418 [-2*(1+3*x+2*x^6+3*x^5-3*x^3+3*x^2)/(-1+x)/(x+1)/(x^2-x+1)/(4*x^3+3*x^2+x+1) lgdogf] A154128 20.6313 [25/(-5*x+1) lgdogf] A154128 48.8954 [-25/(-1+5*x) lgdogf] A154128 5.53988 [{(-n-2)*a(n+2)+(30+5*n)*a(n+1),a(0)=24,a(1)=600} ogf] A154128 8.54724 [-24/(5*x-1)^5 ogf] A154138 6.48284 [-(-3-18*x+2*x^8+4*x^7+x^6+15*x^2+x^4+32*x^3-26*x^5)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1)/(2*x^4+2*x^3-3*x^2-2*x-1) lgdogf] A154138 7.60358 [(2*x^4+2*x^3-3*x^2-2*x-1)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154139 6.97031 [-(-9-60*x+17*x^6-24*x^5+2*x^7-63*x^4+58*x^3+87*x^2)/(-1+x)/(x^2+2*x-1)/(x^2-2*x-1)/(x^3+6*x^2-3*x-6) lgdogf] A154139 7.94531 [x*(x^3+6*x^2-3*x-6)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154140 8.33843 [(3*x^4+2*x^3-3*x^2-2*x-2)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154141 8.37500 [(2*x^4+6*x^3-3*x^2-6*x-1)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154142 8.55907 [x*(x^3+10*x^2-3*x-10)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154143 8.41157 [(4*x^4+2*x^3-3*x^2-2*x-3)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154144 8.48471 [(3*x^4+6*x^3-3*x^2-6*x-2)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154145 5.92191 [(2*x^8+3*x^7+2*x^6+5*x^5-3*x^4-5*x^3-2*x^2-3*x-1)/(x-1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A154146 5.13393 [x*(x^3+14*x^2-3*x-14)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154147 8.00186 [(4*x^4+6*x^3-3*x^2-6*x-3)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154148 3.83325 [(6*x^4+2*x^3-3*x^2-2*x-5)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154149 7.90429 [(3*x^4+10*x^3-3*x^2-10*x-2)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154150 3.78408 [(2*x^4+14*x^3-3*x^2-14*x-1)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154151 8.21474 [x*(x^3+18*x^2-3*x-18)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154152 8.07428 [(5*x^4+6*x^3-3*x^2-6*x-4)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154153 3.86546 [(7*x^4+2*x^3-3*x^2-2*x-6)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154154 3.44035 [(4*x^4+10*x^3-3*x^2-10*x-3)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A154222 5.30265 [-(f(x)+1)*(4*f(x)*x^4-12*f(x)*x^3-x^4+13*f(x)*x^2+2*x^3-6*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A154222 7.27910 [-(-2*x^4-10*x^3+18*x^2-10*x+2)/(-2*x^6+7*x^5-17*x^4+25*x^3-19*x^2+7*x-1) lgdogf] A154222 9.20346 [(x^4-2*x^3+5*x^2-4*x+1)/(2*x-1)^2/(x-1)^2 ogf] A154222 9.94197 [-2*(-1+5*x-9*x^2+5*x^3+x^4)/(x-1)/(2*x-1)/(x^4-2*x^3+5*x^2-4*x+1) lgdogf] A154223 8.70197 [(x^2+x-1)*(x^4-2*x^3+2*x^2+x-1)/(x+1)/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A154235 11.3239 [-(20*x-8)/(10*x^2-8*x+1) lgdogf] A154235 14.5845 [-1/20*(-1-8*x+(1+16*x+24*x^2)^(1/2))/x revogf] A154235 16.6527 [1/(10*x^2-8*x+1) ogf] A154235 21.3158 [-4*(-2+5*x)/(10*x^2+1-8*x) lgdogf] A154235 6.82160 [{-a(n+2)+8*a(n+1)-10*a(n),a(0)=1,a(1)=8} ogf] A154235 6.82161 [(11*f(x)+5)*(10*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A154236 11.6949 [-(38*x-10)/(19*x^2-10*x+1) lgdogf] A154236 15.2859 [-1/38*(-1-10*x+(1+20*x+24*x^2)^(1/2))/x revogf] A154236 17.3752 [1/(19*x^2-10*x+1) ogf] A154236 21.2911 [-2*(-5+19*x)/(19*x^2+1-10*x) lgdogf] A154236 7.15451 [(31*f(x)+19)*(19*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A154236 7.15451 [{-a(n+2)+10*a(n+1)-19*a(n),a(0)=1,a(1)=10} ogf] A154237 12.3286 [-(60*x-12)/(30*x^2-12*x+1) lgdogf] A154237 16.1309 [-1/60*(-1-12*x+(1+24*x+24*x^2)^(1/2))/x revogf] A154237 18.3167 [1/(30*x^2-12*x+1) ogf] A154237 22.4680 [-12*(-1+5*x)/(30*x^2+1-12*x) lgdogf] A154237 7.36881 [(241*f(x)+335)*(30*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A154237 7.54219 [{-a(n+2)+12*a(n+1)-30*a(n),a(0)=1,a(1)=12} ogf] A154239 11.6079 [-(86*x-14)/(43*x^2-14*x+1) lgdogf] A154239 15.1752 [-1/86*(-1-14*x+(1+28*x+24*x^2)^(1/2))/x revogf] A154239 17.2460 [1/(43*x^2-14*x+1) ogf] A154239 21.1369 [-2*(-7+43*x)/(43*x^2+1-14*x) lgdogf] A154239 7.10129 [(55*f(x)+43)*(43*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A154239 7.10129 [{-a(n+2)+14*a(n+1)-43*a(n),a(0)=1,a(1)=14} ogf] A154240 10.4708 [-(116*x-16)/(58*x^2-16*x+1) lgdogf] A154240 13.5847 [-1/116*(-1-16*x+(1+32*x+24*x^2)^(1/2))/x revogf] A154240 15.8557 [1/(58*x^2-16*x+1) ogf] A154240 19.4068 [-4*(-4+29*x)/(58*x^2+1-16*x) lgdogf] A154240 6.52884 [(35*f(x)+29)*(58*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A154240 6.52884 [{-a(n+2)+16*a(n+1)-58*a(n),a(0)=1,a(1)=16} ogf] A154241 12.3953 [-1/150*(-18*x-1+(24*x^2+36*x+1)^(1/2))/x revogf] A154241 14.4899 [1/(75*x^2-18*x+1) ogf] A154241 17.7076 [-6*(-3+25*x)/(75*x^2+1-18*x) lgdogf] A154241 5.96641 [(29*f(x)+25)*(75*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A154241 5.96641 [{-a(n+2)+18*a(n+1)-75*a(n),a(0)=1,a(1)=18} ogf] A154241 9.56877 [-(150*x-18)/(75*x^2-18*x+1) lgdogf] A154244 12.3684 [-(4*x-6)/(2*x^2-6*x+1) lgdogf] A154244 15.7163 [-1/4*(-1-6*x+(1+12*x+28*x^2)^(1/2))/x revogf] A154244 17.9903 [1/(2*x^2-6*x+1) ogf] A154244 23.2601 [-2*(-3+2*x)/(2*x^2+1-6*x) lgdogf] A154244 7.06764 [(271*f(x)+53)*(2*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A154244 7.24001 [{-a(n+2)+6*a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A154245 11.6772 [-(18*x-8)/(9*x^2-8*x+1) lgdogf] A154245 12.4489 [-1/18*(-8*x-1+(2*x+1)^(1/2)*(1+14*x)^(1/2))/x revogf] A154245 17.3389 [1/(9*x^2-8*x+1) ogf] A154245 22.4081 [-2*(-4+9*x)/(9*x^2+1-8*x) lgdogf] A154245 6.97785 [{-a(n+2)+8*a(n+1)-9*a(n),a(0)=1,a(1)=8} ogf] A154245 6.97786 [(23*f(x)+9)*(9*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A154246 11.7525 [-(36*x-10)/(18*x^2-10*x+1) lgdogf] A154246 15.3627 [-1/36*(-1-10*x+(1+20*x+28*x^2)^(1/2))/x revogf] A154246 17.4608 [1/(18*x^2-10*x+1) ogf] A154246 21.3981 [-2*(-5+18*x)/(18*x^2+1-10*x) lgdogf] A154246 6.86662 [(1231*f(x)+1269)*(18*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A154246 7.18975 [{-a(n+2)+10*a(n+1)-18*a(n),a(0)=1,a(1)=10} ogf] A154247 11.1549 [-(58*x-12)/(29*x^2-12*x+1) lgdogf] A154247 14.5712 [-1/58*(-1-12*x+(1+24*x+28*x^2)^(1/2))/x revogf] A154247 16.5730 [1/(29*x^2-12*x+1) ogf] A154247 20.2956 [-2*(-6+29*x)/(29*x^2+1-12*x) lgdogf] A154247 6.82417 [(43*f(x)+29)*(29*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A154247 6.82418 [{-a(n+2)+12*a(n+1)-29*a(n),a(0)=1,a(1)=12} ogf] A154248 10.6166 [-(84*x-14)/(42*x^2-14*x+1) lgdogf] A154248 13.8590 [-1/84*(-1-14*x+(1+28*x+28*x^2)^(1/2))/x revogf] A154248 15.7732 [1/(42*x^2-14*x+1) ogf] A154248 20.0185 [-14*(6*x-1)/(42*x^2+1-14*x) lgdogf] A154248 6.41931 [(79*f(x)+117)*(42*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A154248 6.49484 [{-a(n+2)+14*a(n+1)-42*a(n),a(0)=1,a(1)=14} ogf] A154249 10.4708 [-(114*x-16)/(57*x^2-16*x+1) lgdogf] A154249 13.5847 [-1/114*(-1-16*x+(1+32*x+28*x^2)^(1/2))/x revogf] A154249 15.8557 [1/(57*x^2-16*x+1) ogf] A154249 19.4068 [-2*(-8+57*x)/(57*x^2+1-16*x) lgdogf] A154249 6.52884 [(71*f(x)+57)*(57*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A154249 6.52884 [{-a(n+2)+16*a(n+1)-57*a(n),a(0)=1,a(1)=16} ogf] A154250 12.4661 [-1/148*(-18*x-1+(28*x^2+36*x+1)^(1/2))/x revogf] A154250 14.5708 [1/(74*x^2-18*x+1) ogf] A154250 5.99974 [{-a(n+2)+18*a(n+1)-74*a(n),a(0)=1,a(1)=18} ogf] A154250 5.99975 [(44*f(x)+37)*(74*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A154250 9.62223 [-(148*x-18)/(74*x^2-18*x+1) lgdogf] A154251 12.7064 [(7*x^2-x+1)/(2*x-1)/(x-1) ogf] A154251 14.9962 [-(-2-10*x+19*x^2)/(x-1)/(-1+2*x)/(7*x^2-x+1) lgdogf] A154251 6.53823 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=11} ogf] A154251 7.24126 [(-3+4*f(x))*(2*f(x)*x^2-3*f(x)*x-7*x^2+f(x)+x-1) ogf] A154251 8.74595 [-(19*x^2-10*x-2)/(14*x^4-23*x^3+12*x^2-4*x+1) lgdogf] A154252 10.0371 [-(22*x^2-12*x-2)/(16*x^4-26*x^3+13*x^2-4*x+1) lgdogf] A154252 14.5823 [(8*x^2-x+1)/(2*x-1)/(x-1) ogf] A154252 7.50350 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=12} ogf] A154252 7.80666 [-(51*f(x)-53)*(2*f(x)*x^2-3*f(x)*x-8*x^2+f(x)+x-1) ogf] A154254 11.6155 [-(-19*x^2-32*x-3)/(-19*x^3+22*x^2-5*x+2) lgdogf] A154254 12.7395 [-(19*x^2-3*x+2)/(x-1)^3 ogf] A154254 20.9407 [-(3+32*x+19*x^2)/(x-1)/(19*x^2-3*x+2) lgdogf] A154254 6.42156 [(315900*f(x)-1792567)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19*x^2-f(x)-3*x+2) ogf] A154254 6.98984 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=22} ogf] A154260 10.7877 [-(-21*x^3-15*x^2-51*x-9)/(-7*x^4-2*x^3+2*x+7) lgdogf] A154260 16.2748 [-3*(3+17*x+5*x^2+7*x^3)/(x-1)/(x+1)/(7*x^2+2*x+7) lgdogf] A154260 9.98865 [-x*(7*x^2+2*x+7)/(x+1)^2/(x-1)^3 ogf] A154262 11.3926 [-(-22*x^2-30*x-2)/(-22*x^3+29*x^2-10*x+3) lgdogf] A154262 12.6789 [-(22*x^2-7*x+3)/(x-1)^3 ogf] A154262 19.7704 [-2*(1+15*x+11*x^2)/(x-1)/(22*x^2-7*x+3) lgdogf] A154262 6.18969 [-(257580*f(x)-1551221)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)-7*x+3) ogf] A154262 6.95656 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=2,a(2)=19} ogf] A154266 16.9255 [-(5*x+13)/(5*x^2-x-4) lgdogf] A154266 17.6457 [3*(5*x+4)/(x-1)^2 ogf] A154266 26.2484 [-(-6-x+3*(4+3*x)^(1/2))/(-15+x) revogf] A154266 35.3783 [-(13+5*x)/(5*x+4)/(x-1) lgdogf] A154266 9.42442 [(6*f(x)+97)*(f(x)*x^2-2*f(x)*x+f(x)-15*x-12) ogf] A154266 9.87319 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=39} ogf] A154267 16.9255 [-(4*x+14)/(4*x^2+x-5) lgdogf] A154267 17.6457 [3*(4*x+5)/(x-1)^2 ogf] A154267 20.3425 [-1/2*(-15-2*x+3*(25+12*x)^(1/2))/(-12+x) revogf] A154267 33.9042 [-2*(7+2*x)/(4*x+5)/(x-1) lgdogf] A154267 9.42442 [(3*f(x)+53)*(f(x)*x^2-2*f(x)*x+f(x)-12*x-15) ogf] A154267 9.87319 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15,a(1)=42} ogf] A154272 12.6497 [2*x/(x^2+1) lgdogf] A154272 14.5879 [((3*x+(8+9*x^2)^(1/2))^(2/3)-2)/(3*x+(8+9*x^2)^(1/2))^(1/3) revegf] A154272 14.6899 [x^2+1-f(x) ogf] A154272 18.1732 [[-x^3+x] ogf_with_Euler_transform] A154272 7.46538 [{a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A154272 78.2439 [2*x/(1+x^2) lgdogf] A154277 11.0814 [-(170*x^2-25*x+17)/(x-1)^3 ogf] A154277 16.0444 [-2*(13+145*x+85*x^2)/(x-1)/(170*x^2-25*x+17) lgdogf] A154277 5.80877 [(11748*f(x)-600901)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+170*x^2-f(x)-25*x+17) ogf] A154277 6.20938 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=26,a(2)=197} ogf] A154277 9.60384 [-(-170*x^2-290*x-26)/(-170*x^3+195*x^2-42*x+17) lgdogf] A154281 10.1257 [hypergeom([-1/24,5/24],[2/3],-256/27*x^3)*x*hypergeom([7/24,13/24],[4/3],-256/27*x^3) revogf] A154281 12.6497 [3*x^2/(x^3+1) lgdogf] A154281 14.6899 [x^3+1-f(x) ogf] A154281 18.1732 [-x^5+x^2 ogf_with_Euler_transform] A154281 40.9849 [3*x^2/(x+1)/(x^2-x+1) lgdogf] A154281 6.32483 [{a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A154286 12.6334 [-5/(x-1)^5 ogf] A154286 26.6204 [5/(-x+1) lgdogf] A154286 56.8856 [[5] ogf_with_Euler_transform] A154286 7.09878 [{(-n-2)*a(n+2)+(6+n)*a(n+1),a(0)=5,a(1)=25} ogf] A154286 79.9827 [-5/(x-1) lgdogf] A154292 10.2259 [-(11*x^2+2*x+11)/(x+1)^2/(x-1)^3 ogf] A154292 10.3570 [-(-33*x^3-19*x^2-79*x-13)/(-11*x^4-2*x^3+2*x+11) lgdogf] A154292 15.2409 [-(13+79*x+19*x^2+33*x^3)/(x-1)/(x+1)/(11*x^2+2*x+11) lgdogf] A154293 10.6735 [-(6-2*x+12*x^5-14*x^4+26*x^3+5*x^2+3*x^6)/(x-1)/(x^2+4*x+1)/(x^2-x+1)/(x^2+1) lgdogf] A154293 7.37798 [-x*(x^2+4*x+1)*(x^2-x+1)/(x^2+1)^2/(x-1)^3 ogf] A154295 11.4994 [-(197*x^2-61*x+26)/(x-1)^3 ogf] A154295 17.0469 [-(17+272*x+197*x^2)/(x-1)/(197*x^2-61*x+26) lgdogf] A154295 5.97968 [-(564*f(x)-30559)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+197*x^2-f(x)-61*x+26) ogf] A154295 6.44362 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=26,a(1)=17,a(2)=170} ogf] A154295 9.96613 [-(-197*x^2-272*x-17)/(-197*x^3+258*x^2-87*x+26) lgdogf] A154306 5.14175 [-(27*x^3+67*x^2+25*x+1)/(x-1)^7 egf] A154306 6.10230 [-(108*x^3+416*x^2+284*x+32)/(27*x^4+40*x^3-42*x^2-24*x-1) lgdegf] A154306 9.89048 [-4*(8+71*x+104*x^2+27*x^3)/(x-1)/(27*x^3+67*x^2+25*x+1) lgdegf] A154307 7.00444 [-10*(8+163*x+618*x^2+595*x^3+128*x^4)/(x-1)/(256*x^4+821*x^3+531*x^2+71*x+1) lgdegf] A154322 11.6184 [-2*(1-3*x-4*x^3+x^4+8*x^2)/(x-1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A154322 7.87434 [(x^4-4*x^3+7*x^2-4*x+1)/(x-1)^6 ogf] A154322 8.27203 [-(-2*x^4+8*x^3-16*x^2+6*x-2)/(-x^5+5*x^4-11*x^3+11*x^2-5*x+1) lgdogf] A154323 10.1895 [-(-x^4+2*x^3-21*x^2-8*x-2)/(-x^5+4*x^4-13*x^3+13*x^2-4*x+1) lgdogf] A154323 10.5079 [-(x^4-3*x^3+10*x^2-3*x+1)/(x-1)^5 ogf] A154323 13.2185 [-(2+8*x-2*x^3+x^4+21*x^2)/(x-1)/(x^4-3*x^3+10*x^2-3*x+1) lgdogf] A154324 6.62990 [(x^6-2*x^5-x^4+5*x^3-x^2-2*x+1)/(x+1)^3/(x-1)^6 ogf] A154324 8.28083 [-(1+x+3*x^7-4*x^2+4*x^3+17*x^4-5*x^5-5*x^6)/(x-1)/(x+1)/(x^6-2*x^5-x^4+5*x^3-x^2-2*x+1) lgdogf] A154327 12.2123 [(x^4+2*x^3-x^2+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A154327 6.68375 [-(97*f(x)-136)*(f(x)*x^4+f(x)*x^3-x^4-2*f(x)*x^2-2*x^3-f(x)*x+x^2+f(x)-1) ogf] A154327 9.37901 [-(-1-2*x-4*x^2+4*x^3+6*x^4+2*x^5+x^6)/(x-1)/(x+1)/(x^2+x-1)/(x^4+2*x^3-x^2+1) lgdogf] A154340 11.8677 [-(34*x-10)/(17*x^2-10*x+1) lgdogf] A154340 15.5163 [-1/34*(-1-10*x+(1+20*x+32*x^2)^(1/2))/x revogf] A154340 17.6320 [1/(17*x^2-10*x+1) ogf] A154340 21.6121 [-2*(-5+17*x)/(17*x^2+1-10*x) lgdogf] A154340 7.26024 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=10} ogf] A154340 7.26025 [(33*f(x)+17)*(17*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A154346 11.1549 [-(56*x-12)/(28*x^2-12*x+1) lgdogf] A154346 14.5712 [-1/56*(-1-12*x+(1+24*x+32*x^2)^(1/2))/x revogf] A154346 16.5730 [1/(28*x^2-12*x+1) ogf] A154346 20.2956 [-4*(-3+14*x)/(28*x^2+1-12*x) lgdogf] A154346 6.82418 [{-a(n+2)+12*a(n+1)-28*a(n),a(0)=1,a(1)=12} ogf] A154346 6.90541 [(11*f(x)+7)*(28*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A154347 10.6721 [-(82*x-14)/(41*x^2-14*x+1) lgdogf] A154347 13.9331 [-1/82*(-1-14*x+(1+28*x+32*x^2)^(1/2))/x revogf] A154347 15.8557 [1/(41*x^2-14*x+1) ogf] A154347 19.4068 [-2*(-7+41*x)/(41*x^2+1-14*x) lgdogf] A154347 6.52884 [(57*f(x)+41)*(41*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A154347 6.52884 [{-a(n+2)+14*a(n+1)-41*a(n),a(0)=1,a(1)=14} ogf] A154348 10.4708 [-(112*x-16)/(56*x^2-16*x+1) lgdogf] A154348 13.5847 [-1/112*(-1-16*x+(1+32*x+32*x^2)^(1/2))/x revogf] A154348 15.8557 [1/(56*x^2-16*x+1) ogf] A154348 19.4068 [-16*(-1+7*x)/(56*x^2+1-16*x) lgdogf] A154348 6.37875 [(401*f(x)+623)*(56*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A154348 6.52884 [{-a(n+2)+16*a(n+1)-56*a(n),a(0)=1,a(1)=16} ogf] A154350 12.4661 [-1/146*(-18*x-1+(32*x^2+36*x+1)^(1/2))/x revogf] A154350 14.5708 [1/(73*x^2-18*x+1) ogf] A154350 5.99974 [{-a(n+2)+18*a(n+1)-73*a(n),a(0)=1,a(1)=18} ogf] A154350 5.99975 [(89*f(x)+73)*(73*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A154350 9.62223 [-(146*x-18)/(73*x^2-18*x+1) lgdogf] A154352 7.14628 [-x*(x-1)*(2*x+1)*(2*x-1)*(x+1)*(x^2+x+1)*(4*x^2-2*x+1)*(4*x^2+2*x+1)/(43*x^6-1) ogf] A154355 10.4146 [-(74*x^2-37*x+13)/(x-1)^3 ogf] A154355 15.9073 [-2*(1+37*x+37*x^2)/(x-1)/(74*x^2-37*x+13) lgdogf] A154355 5.01154 [-(10907500*f(x)-209464099)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+74*x^2-f(x)-37*x+13) ogf] A154355 5.84680 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=2,a(2)=41} ogf] A154355 9.38782 [-(-74*x^2-74*x-2)/(-74*x^3+111*x^2-50*x+13) lgdogf] A154357 12.4828 [-(-41*x^2-96*x-13)/(-41*x^3+34*x^2+5*x+2) lgdogf] A154357 13.8922 [-(41*x^2+7*x+2)/(x-1)^3 ogf] A154357 22.2703 [-(13+96*x+41*x^2)/(x-1)/(41*x^2+7*x+2) lgdogf] A154357 6.89052 [(3522500*f(x)-54439743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+41*x^2-f(x)+7*x+2) ogf] A154357 7.55539 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=13,a(2)=74} ogf] A154358 12.2147 [-3*(33+1234*x+1233*x^2)/(x-1)/(3699*x^2-1848*x+649) lgdogf] A154358 4.74939 [-(12125*f(x)-11640269)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3699*x^2-f(x)-1848*x+649) ogf] A154358 5.39339 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=649,a(1)=99,a(2)=2049} ogf] A154358 7.76122 [-(-3699*x^2-3702*x-99)/(-3699*x^3+5547*x^2-2497*x+649) lgdogf] A154358 9.22348 [-(3699*x^2-1848*x+649)/(x-1)^3 ogf] A154359 10.0005 [-(2049*x^2+352*x+99)/(x-1)^3 ogf] A154359 13.6757 [-(649+4802*x+2049*x^2)/(x-1)/(2049*x^2+352*x+99) lgdogf] A154359 5.15412 [(246625*f(x)-190632579)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2049*x^2-f(x)+352*x+99) ogf] A154359 5.67827 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=99,a(1)=649,a(2)=3699} ogf] A154359 8.27205 [-(-2049*x^2-4802*x-649)/(-2049*x^3+1697*x^2+253*x+99) lgdogf] A154360 15.4788 [-(-43*x-7)/(-43*x^2+61*x-18) lgdogf] A154360 16.4265 [10*(43*x-18)/(x-1)^2 ogf] A154360 22.6747 [-(-35-x+5*(49+10*x)^(1/2))/(-180+x) revogf] A154360 30.5236 [-2*(16+9*x)/(18*x+7)/(x-1) lgdogf] A154360 8.84502 [(5*f(x)+949)*(f(x)*x^2-2*f(x)*x+f(x)-430*x+180) ogf] A154360 9.46938 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-180,a(1)=70} ogf] A154361 13.0813 [-(-32*x-18)/(-32*x^2+39*x-7) lgdogf] A154361 14.1714 [10*(32*x-7)/(x-1)^2 ogf] A154361 19.1233 [-(-90-x+5*(324+10*x)^(1/2))/(-70+x) revogf] A154361 27.8882 [-(43+7*x)/(7*x+18)/(x-1) lgdogf] A154361 7.1603 [(2135*f(x)-60502)*(f(x)*x^2-2*f(x)*x+f(x)-320*x+70) ogf] A154361 8.00269 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-70,a(1)=180} ogf] A154374 10.4067 [-(x^2+1348*x+1151)/(x-1)^3 ogf] A154374 5.32248 [(894625*f(x)-1490848247)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1348*x+1151) ogf] A154374 5.71513 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1151,a(1)=4801,a(2)=10951} ogf] A154374 8.93905 [-(x^2+2698*x+4801)/(x^3+1347*x^2-197*x-1151) lgdogf] A154375 10.4067 [-(x^2+1148*x+1351)/(x-1)^3 ogf] A154375 16.2772 [-(5201+2298*x+x^2)/(x-1)/(x^2+1148*x+1351) lgdogf] A154375 5.32248 [(949625*f(x)-1647949503)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1148*x+1351) ogf] A154375 5.71513 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1351,a(1)=5201,a(2)=11551} ogf] A154375 8.93905 [-(x^2+2298*x+5201)/(x^3+1147*x^2+203*x-1351) lgdogf] A154376 13.4260 [-(27*x+23)/(x-1)^3 ogf] A154376 14.2006 [-(54*x+96)/(27*x^2-4*x-23) lgdogf] A154376 26.8104 [-6*(16+9*x)/(27*x+23)/(x-1) lgdogf] A154376 6.15358 [(29822500*f(x)-994640981)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+27*x+23) ogf] A154376 6.36578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23,a(1)=96,a(2)=219} ogf] A154377 13.5583 [-(23*x+27)/(x-1)^3 ogf] A154377 14.0699 [-(46*x+104)/(23*x^2+4*x-27) lgdogf] A154377 26.1127 [-2*(52+23*x)/(23*x+27)/(x-1) lgdogf] A154377 6.16285 [(94967500*f(x)-3298365507)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+23*x+27) ogf] A154377 6.37356 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27,a(1)=104,a(2)=231} ogf] A154378 15.4637 [-(x+49)/(x^2+23*x-24) lgdogf] A154378 16.4302 [10*(x+24)/(x-1)^2 ogf] A154378 21.4916 [-(-120-x+5*(576+10*x)^(1/2))/(-10+x) revogf] A154378 38.6849 [-(49+x)/(x+24)/(x-1) lgdogf] A154378 8.66646 [(5*f(x)+1201)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-240) ogf] A154378 9.17033 [{-a(n+2)+2*a(n+1)-a(n),a(0)=240,a(1)=490} ogf] A154379 15.0727 [-(-x+51)/(-x^2+27*x-26) lgdogf] A154379 16.0148 [-10*(x-26)/(x-1)^2 ogf] A154379 21.5387 [-(-130-x+5*(676+10*x)^(1/2))/(10+x) revogf] A154379 35.8978 [-(-51+x)/(x-1)/(x-26) lgdogf] A154379 8.44736 [(5*f(x)+1301)*(f(x)*x^2-2*f(x)*x+f(x)+10*x-260) ogf] A154379 8.93848 [{-a(n+2)+2*a(n+1)-a(n),a(0)=260,a(1)=510} ogf] A154383 10.5665 [{-a(n+4)+4*a(n+2),a(0)=1,a(1)=0,a(2)=4,a(3)=2} ogf] A154383 13.9419 [(13*f(x)+3)*(4*f(x)*x^2+2*x^3-f(x)+1) ogf] A154383 13.9419 [-(-8*x^4+6*x^2+8*x)/(8*x^5-2*x^3+4*x^2-1) lgdogf] A154383 22.3071 [-(2*x^3+1)/(2*x-1)/(2*x+1) ogf] A154407 13.0850 [-2*(9*x-2)/(6*x-1)/(2*x-1) ogf] A154407 14.7028 [-(7-48*x+108*x^2)/(6*x-1)/(2*x-1)/(9*x-2) lgdogf] A154407 14.7028 [-1/6*(-2-4*x+(4-2*x+4*x^2)^(1/2))/(3+2*x) revogf] A154407 6.68471 [-(4*f(x)+33)*(12*f(x)*x^2-8*f(x)*x+f(x)+18*x-4) ogf] A154407 7.32135 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=4,a(1)=14} ogf] A154407 8.66187 [-(-108*x^2+48*x-7)/(-108*x^3+96*x^2-25*x+2) lgdogf] A154410 13.7003 [-10*(3*x-1)/(6*x-1)/(2*x-1) ogf] A154410 15.0102 [-1/6*(-5-4*x+(25+10*x+4*x^2)^(1/2))/(5+2*x) revogf] A154410 16.1360 [-(5-24*x+36*x^2)/(6*x-1)/(3*x-1)/(2*x-1) lgdogf] A154410 6.85018 [-(242*f(x)+705)*(12*f(x)*x^2-8*f(x)*x+f(x)+30*x-10) ogf] A154410 7.73666 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=10,a(1)=50} ogf] A154410 9.53067 [-(-36*x^2+24*x-5)/(-36*x^3+36*x^2-11*x+1) lgdogf] A154426 9.18963 [-x*(3*x^7-5*x^6+3*x^5-3*x^4+x^3+x^2-x-1)/(x-1)^2 ogf] A154426 9.76422 [(3-x-3*x^2+13*x^3-21*x^4+39*x^5-41*x^6+15*x^7)/(x-1)/(3*x^7-5*x^6+3*x^5-3*x^4+x^3+x^2-x-1) lgdogf] A154470 12.3481 [2*(-1-42*x^27-126*x^29+42*x^30+126*x^28)/(x-1)/(3*x^30-6*x^29+3*x^28+1) lgdogf] A154514 11.2503 [-(x^2+718*x+577)/(x-1)^3 ogf] A154514 17.9352 [-(2449+1438*x+x^2)/(x-1)/(x^2+718*x+577) lgdogf] A154514 5.80373 [(27501*f(x)-23575832)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+718*x+577) ogf] A154514 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=577,a(1)=2449,a(2)=5617} ogf] A154514 9.62199 [-(x^2+1438*x+2449)/(x^3+717*x^2-141*x-577) lgdogf] A154515 11.2503 [-(x^2+574*x+721)/(x-1)^3 ogf] A154515 17.9352 [-(2737+1150*x+x^2)/(x-1)/(x^2+574*x+721) lgdogf] A154515 5.89734 [(2598*f(x)-2356135)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+574*x+721) ogf] A154515 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=721,a(1)=2737,a(2)=6049} ogf] A154515 9.62199 [-(x^2+1150*x+2737)/(x^3+573*x^2+147*x-721) lgdogf] A154516 13.3893 [-2*(5*x+4)/(x-1)^3 ogf] A154516 14.4604 [-(10*x+17)/(5*x^2-x-4) lgdogf] A154516 29.5110 [-(17+10*x)/(5*x+4)/(x-1) lgdogf] A154516 6.34228 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=34,a(2)=78} ogf] A154516 6.39841 [(46413*f(x)-553354)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+10*x+8) ogf] A154517 13.4576 [-2*(4*x+5)/(x-1)^3 ogf] A154517 14.8308 [-(8*x+19)/(4*x^2+x-5) lgdogf] A154517 30.9545 [-(19+8*x)/(4*x+5)/(x-1) lgdogf] A154517 6.31921 [(100845*f(x)-1271938)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+8*x+10) ogf] A154517 6.31921 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=38,a(2)=84} ogf] A154518 14.3939 [-(x+35)/(x^2+16*x-17) lgdogf] A154518 15.2935 [12*(x+17)/(x-1)^2 ogf] A154518 20.5523 [-(-102-x+6*(289+6*x)^(1/2))/(-12+x) revogf] A154518 35.9666 [-(35+x)/(x+17)/(x-1) lgdogf] A154518 8.15652 [(3*f(x)+613)*(f(x)*x^2-2*f(x)*x+f(x)-12*x-204) ogf] A154518 8.53590 [{-a(n+2)+2*a(n+1)-a(n),a(0)=204,a(1)=420} ogf] A154519 14.3939 [-(-x+37)/(-x^2+20*x-19) lgdogf] A154519 15.2935 [-12*(x-19)/(x-1)^2 ogf] A154519 21.1568 [-(-114-x+6*(361+6*x)^(1/2))/(12+x) revogf] A154519 34.2539 [-(-37+x)/(x-1)/(x-19) lgdogf] A154519 8.15652 [(3*f(x)+685)*(f(x)*x^2-2*f(x)*x+f(x)+12*x-228) ogf] A154519 8.53590 [{-a(n+2)+2*a(n+1)-a(n),a(0)=228,a(1)=444} ogf] A154529 12.4334 [-(6*x^4+2*x^3-4*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A154529 6.47311 [-(5-8*x+8*x^6-8*x^5-2*x^4+16*x^3+7*x^2)/(-1+x)/(x+1)/(x^2-x+1)/(6*x^4+2*x^3-4*x^2+4*x+1) lgdogf] A154529 7.30816 [-(3*f(x)+2)*(f(x)*x^4-f(x)*x^3+6*x^4+2*x^3+f(x)*x-4*x^2-f(x)+4*x+1) ogf] A154533 11.6243 [-(-13*x^2+16*x-9)/(-13*x^3+34*x^2-31*x+10) lgdogf] A154533 12.7141 [-(13*x^2-21*x+10)/(x-1)^3 ogf] A154533 20.4629 [-(9-16*x+13*x^2)/(x-1)/(13*x^2-21*x+10) lgdogf] A154533 6.89577 [(132*f(x)-419)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)-21*x+10) ogf] A154533 7.13772 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=9,a(2)=10} ogf] A154549 10.2834 [-f(x)*x^2+2*f(x)*x-f(x)+111111 ogf] A154549 13.4397 [444444*x/(111111+(12345654321+444444*x)^(1/2))^2 revogf] A154549 17.3194 [111111/(x-1)^2 ogf] A154549 23.5049 [2/(-x+1) lgdogf] A154549 50.0165 [[2] ogf_with_Euler_transform] A154549 7.15365 [{-a(n+2)+2*a(n+1)-a(n),a(0)=111111,a(1)=222222} ogf] A154549 80.6380 [-2/(x-1) lgdogf] A154560 17.7721 [-(9+7*x-5*x^2+x^3)/(x-1)/(x^3-4*x^2+5*x+1) lgdogf] A154560 4.00675 [{(-19*n^2-173*n-270)*a(n+1)+(-52*n^2-476*n-960)*a(n+2)+(71*n^2+379*n+498)*a(n+3),a(0)=1,a(1)=9,a(2)=26} ogf] A154560 5.39917 [(162*f(x)+535)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+4*x^2+f(x)-5*x-1) ogf] A154560 9.51602 [-(-x^3+5*x^2-7*x-9)/(-x^4+5*x^3-9*x^2+4*x+1) lgdogf] A154560 9.88678 [(x^3-4*x^2+5*x+1)/(x-1)^4 ogf] A154570 12.4687 [(9*x^2-2*x-1)/(x+1)/(2*x-1) ogf] A154570 17.4825 [(3-14*x+13*x^2)/(2*x-1)/(x+1)/(9*x^2-2*x-1) lgdogf] A154570 6.47882 [{a(n+3)-a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=-4} ogf] A154570 6.67515 [-(11*f(x)-20)*(2*f(x)*x^2+f(x)*x-9*x^2-f(x)+2*x+1) ogf] A154570 8.69526 [-(-13*x^2+14*x-3)/(18*x^4+5*x^3-13*x^2+x+1) lgdogf] A154571 5.85363 [-(4+6*x+14*x^6+30*x^5+8*x^10+11*x^3+13*x^8+12*x^7+28*x^4+11*x^2+7*x^9)/(x-1)/(1+x)/(x^2+x+1)/(x^2-x+1)/(4*x^5+x^4+2*x^3+x^2+x+3) lgdogf] A154571 9.21730 [x*(4*x^5+x^4+2*x^3+x^2+x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A154575 11.8237 [-(2*x^2-14*x+18)/(2*x^3-11*x^2+18*x-9) lgdogf] A154575 12.7621 [-2*(2*x-3)*(x-3)/(x-1)^3 ogf] A154575 23.1971 [-2*(9-7*x+x^2)/(x-1)/(x-3)/(2*x-3) lgdogf] A154575 6.75643 [(582*f(x)-22631)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-18*x+18) ogf] A154575 6.99143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=18,a(1)=36,a(2)=58} ogf] A154576 11.6524 [-(5*x^2-34*x+41)/(5*x^3-27*x^2+43*x-21) lgdogf] A154576 12.7621 [-(5*x-7)*(x-3)/(x-1)^3 ogf] A154576 21.9083 [-(41-34*x+5*x^2)/(x-1)/(x-3)/(5*x-7) lgdogf] A154576 6.87192 [(25*f(x)-1452)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-22*x+21) ogf] A154576 6.99143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=41,a(2)=65} ogf] A154589 13.6490 [-1/(9*x-4)/(2*x-1) lgdogf] A154589 4.62459 [2*f(x)*x-f(x)-9*x+4 ogf] A154589 5.62451 [(-4+9*x)/(2*x-1) ogf] A154589 6.12079 [1/(-18*x^2+17*x-4) lgdogf] A154589 7.22593 [2/9+1/9*x-1/9*((x-1)*(-4+x))^(1/2) revogf] A154590 12.1084 [-(3*x^2-20*x+23)/(3*x^3-16*x^2+25*x-12) lgdogf] A154590 13.2616 [-2*(3*x-4)*(x-3)/(x-1)^3 ogf] A154590 7.02086 [(830*f(x)-69489)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-26*x+24) ogf] A154590 7.26507 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=46,a(2)=72} ogf] A154591 12.1084 [-(7*x^2-46*x+51)/(7*x^3-37*x^2+57*x-27) lgdogf] A154591 13.2616 [-(7*x-9)*(x-3)/(x-1)^3 ogf] A154591 7.02086 [(486*f(x)-56767)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-30*x+27) ogf] A154591 7.26507 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27,a(1)=51,a(2)=79} ogf] A154595 13.2636 [(3*x^2+3*x+1)/(x+1)/(x^2-x+1) ogf] A154595 8.33223 [(61*f(x)+128)*(f(x)*x^3-3*x^2+f(x)-3*x-1) ogf] A154595 8.37587 [-3*(-1-2*x+x^4+2*x^3+x^2)/(x+1)/(x^2-x+1)/(3*x^2+3*x+1) lgdogf] A154595 8.55151 [{-a(n+3)-a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A154597 10.7095 [-(-2*x-15)/(-x^2-15*x+1) lgdogf] A154597 13.7933 [1/2/x*(-1-15*x+(1+30*x+229*x^2)^(1/2)) revogf] A154597 15.7493 [-1/(x^2+15*x-1) ogf] A154597 23.8247 [-(15+2*x)/(x^2-1+15*x) lgdogf] A154597 6.37473 [{-a(n+2)+15*a(n+1)+a(n),a(0)=1,a(1)=15} ogf] A154597 9.15284 [-f(x)*x^2-15*f(x)*x+f(x)-x ogf] A154599 11.8188 [-(4*x^2-26*x+28)/(4*x^3-21*x^2+32*x-15) lgdogf] A154599 12.9444 [-2*(4*x-5)*(x-3)/(x-1)^3 ogf] A154599 21.0575 [-2*(14-13*x+2*x^2)/(4*x-5)/(x-1)/(x-3) lgdogf] A154599 6.73967 [(1126*f(x)-178275)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-34*x+30) ogf] A154599 7.09130 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=56,a(2)=86} ogf] A154600 11.8188 [-(9*x^2-58*x+61)/(9*x^3-47*x^2+71*x-33) lgdogf] A154600 12.9444 [-(9*x-11)*(x-3)/(x-1)^3 ogf] A154600 21.6266 [-(61-58*x+9*x^2)/(x-1)/(x-3)/(9*x-11) lgdogf] A154600 6.85295 [(323*f(x)-67599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-38*x+33) ogf] A154600 7.09130 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=33,a(1)=61,a(2)=93} ogf] A154609 10.0926 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=18} ogf] A154609 17.0956 [-(-8*x-18)/(-8*x^2+3*x+5) lgdogf] A154609 18.6152 [(8*x+5)/(x-1)^2 ogf] A154609 22.8258 [-1/2*(-5-2*x+(25+52*x)^(1/2))/(-8+x) revogf] A154609 34.2387 [-2*(9+4*x)/(8*x+5)/(x-1) lgdogf] A154609 9.62858 [(13*f(x)+97)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-5) ogf] A154612 16.1925 [-(-10*x-24)/(-10*x^2+3*x+7) lgdogf] A154612 17.9526 [(10*x+7)/(x-1)^2 ogf] A154612 21.8902 [-1/2*(-7-2*x+(49+68*x)^(1/2))/(-10+x) revogf] A154612 31.1515 [-2*(12+5*x)/(10*x+7)/(x-1) lgdogf] A154612 9.27888 [(17*f(x)+169)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-7) ogf] A154612 9.94964 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=24} ogf] A154615 11.1423 [-2*(8+9*x+64*x^2+14*x^3+24*x^4+x^5)/(x-1)/(x+1)/(x^4+16*x^3+6*x^2+16*x+1) lgdogf] A154615 6.25050 [{(-n^2-6*n-9)*a(n+1)+(n^2+2*n+1)*a(n+3),a(0)=0,a(1)=1,a(2)=16} ogf] A154615 9.48352 [-x*(x^4+16*x^3+6*x^2+16*x+1)/(x-1)^3/(x+1)^3 ogf] A154617 12.1458 [-11*x*(3*x+1)/(x-1)^3 ogf] A154617 14.9293 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A154617 32.0769 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A154617 5.9717 [-(1072*f(x)-15015)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+33*x^2-f(x)+11*x) ogf] A154617 6.34164 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=66} ogf] A154623 4.77381 [{45*a(n)*n+(-14*n-12)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A154623 6.21590 [-1/2*(-9*x+1+3*(45*x^2-14*x+1)^(1/2))/(81*x^2-27*x+2)/(5*x-1) lgdogf] A154623 7.65034 [5*f(x)^2*x-f(x)^2-15*f(x)*x+3*f(x)+9*x-2 ogf] A154623 9.27854 [-1/2*(-9*x+1+3*((9*x-1)*(5*x-1))^(1/2))/(9*x-1)/(9*x-2)/(5*x-1) lgdogf] A154626 10.5156 [-(-16*x^2+8*x-2)/(-16*x^3+28*x^2-10*x+1) lgdogf] A154626 14.4506 [-1/8*(-1-6*x+(1-4*x+20*x^2)^(1/2))/(1+x) revogf] A154626 14.8211 [-2*(1-4*x+8*x^2)/(-1+4*x)/(4*x^2-6*x+1) lgdogf] A154626 15.8902 [-(4*x-1)/(4*x^2-6*x+1) ogf] A154626 8.03441 [-(3*f(x)-2)*(4*f(x)*x^2-6*f(x)*x+f(x)+4*x-1) ogf] A154626 8.72026 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A154627 12.7818 [-(5*x-1)/(4*x^2-8*x+1) ogf] A154627 13.4095 [-1/2*(-1-8*x+(1-4*x+48*x^2)^(1/2))/(4*x+5) revogf] A154627 15.2215 [-(3-8*x+20*x^2)/(5*x-1)/(4*x^2-8*x+1) lgdogf] A154627 6.18474 [-(364*f(x)-283)*(4*f(x)*x^2-8*f(x)*x+f(x)+5*x-1) ogf] A154627 7.01439 [{a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=3} ogf] A154627 8.45853 [-(-20*x^2+8*x-3)/(-20*x^3+44*x^2-13*x+1) lgdogf] A154629 8.03620 [-(x^8+9*x^7+3*x^6+x^5+3*x^4+3*x^3+x^2+3*x+9)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A154633 6.19015 [-3*(3*x^4+20*x^3+1010*x^2+980*x+35)/(x-1)^5 ogf] A154633 8.41201 [-(1155+5940*x+3*x^4+52*x^3+3090*x^2)/(x-1)/(3*x^4+20*x^3+1010*x^2+980*x+35) lgdogf] A154635 13.0640 [(5*x-1)*(x-1)/(6*x^2-8*x+1) ogf] A154635 15.1118 [-2*(x+1)*(2*x-1)/(-1+x)/(5*x-1)/(6*x^2-8*x+1) lgdogf] A154635 6.72226 [{-a(n+3)+8*a(n+2)-6*a(n+1),a(0)=1,a(1)=2,a(2)=15} ogf] A154635 7.44509 [(-5+7*f(x))*(6*f(x)*x^2-8*f(x)*x-5*x^2+f(x)+6*x-1) ogf] A154635 9.11043 [-(-4*x^2-2*x+2)/(-30*x^4+76*x^3-59*x^2+14*x-1) lgdogf] A154636 13.4723 [(5*x-1)*(x-1)/(3*x^2-8*x+1) ogf] A154636 15.2536 [-2*(-1-2*x+11*x^2)/(x-1)/(5*x-1)/(3*x^2-8*x+1) lgdogf] A154636 6.93233 [{-a(n+3)+8*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=18} ogf] A154636 7.21243 [-(13*f(x)-14)*(3*f(x)*x^2-8*f(x)*x-5*x^2+f(x)+6*x-1) ogf] A154636 9.27312 [-(-22*x^2+4*x+2)/(-15*x^4+58*x^3-56*x^2+14*x-1) lgdogf] A154637 14.1762 [(29*x^2-18*x+1)/(3*x^2-20*x+1) ogf] A154637 15.3311 [-2*(-1-26*x+263*x^2)/(29*x^2-18*x+1)/(3*x^2-20*x+1) lgdogf] A154637 7.48933 [-(2353*f(x)-2354)*(3*f(x)*x^2-20*f(x)*x-29*x^2+f(x)+18*x-1) ogf] A154637 7.63335 [{-a(n+3)+20*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=66} ogf] A154637 9.80084 [-(-526*x^2+52*x+2)/(-87*x^4+634*x^3-392*x^2+38*x-1) lgdogf] A154638 11.2250 [(x^2+x+1)*(x+1)/(6*x^3-3*x^2-3*x+1) ogf] A154638 11.7129 [-5*(-1-2*x+3*x^4+6*x^3+3*x^2)/(x+1)/(x^2+x+1)/(6*x^3-3*x^2-3*x+1) lgdogf] A154638 5.78001 [{-a(n+4)+3*a(n+3)+3*a(n+2)-6*a(n+1),a(0)=1,a(1)=5,a(2)=20,a(3)=70} ogf] A154638 6.50859 [(-3+8*f(x))*(6*f(x)*x^3-3*f(x)*x^2-x^3-3*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A154638 7.17150 [-(15*x^4+30*x^3+15*x^2-10*x-5)/(6*x^6+9*x^5+3*x^4-5*x^3-7*x^2-x+1) lgdogf] A154656 9.17945 [-8+(12-12*x)*f(x)+(-6+12*x-6*x^2)*f(x)^2+(-3*x+3*x^2-x^3+1)*f(x)^3 lgdegf] A154657 8.80057 [8+(-12+12*x)*f(x)+(6-12*x+6*x^2)*f(x)^2+(3*x-3*x^2+x^3-1)*f(x)^3 lgdegf] A154658 7.14147 [8+24*x+(-12-24*x+24*x^2)*f(x)+(6+6*x+6*x^3-18*x^2)*f(x)^2+(-1+3*x^2-2*x^3)*f(x)^3 lgdegf] A154659 16.879 [(f(x)*x-f(x)+1)^2 egf] A154687 11.2973 [-(2*x+1)*(x^2+x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A154687 6.23609 [(2899*f(x)+7050)*(f(x)*x^4-f(x)*x^3+2*x^3+f(x)*x+3*x^2-f(x)+3*x+1) ogf] A154687 8.37759 [-2*(x^6+3*x^5+2+3*x-3*x^3+3*x^4)/(-1+x)/(2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A154691 14.1312 [(x^2+x+1)/(x-1)/(x^2+x-1) ogf] A154691 14.4043 [-(-3-2*x+2*x^3+x^4+5*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1) lgdogf] A154691 7.80162 [-(-x^4-2*x^3-5*x^2+2*x+3)/(-x^5-x^4+x^3+x^2+x-1) lgdogf] A154691 7.88374 [(41*f(x)-36)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A154691 7.96762 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A154699 5.84680 [-(1+2*x^8-2*x^9+2*x^10+8*x-11*x^6-2*x^2-20*x^3+6*x^4+14*x^5)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1)/(2*x^5-x^4-2*x^3+x+1) lgdogf] A154699 8.40579 [-(2*x^5-x^4-2*x^3+x+1)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A154708 15.0332 [-(-2*x^2-10*x-4)/(-x^3-3*x^2+x+3) lgdogf] A154708 18.4369 [(x+3)/(x+1)/(x-1)^2 ogf] A154708 30.0050 [-2*(2+5*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A154708 8.72459 [-(128*f(x)+1163)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-x-3) ogf] A154708 8.72460 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=7} ogf] A154760 9.87684 [(4*x^10+4*x^8-2*x^5-6*x^4-2*x^3-x^2-x-1)/(x-1)/(x+1) ogf] A154760 9.93554 [(1+4*x+32*x^11-16*x^9-32*x^7-6*x^6-12*x^5+7*x^2+24*x^3+8*x^4)/(x-1)/(x+1)/(4*x^10+4*x^8-2*x^5-6*x^4-2*x^3-x^2-x-1) lgdogf] A154805 8.78888 [-2*(-5000-x+15000*x^2)/(-1+x)/(10000*x-1)/(x+1) lgdogf] A154806 12.0356 [15/(x-1)/(16*x-1)/(x+1) ogf] A154806 14.0128 [-2*(-8-x+24*x^2)/(x-1)/(16*x-1)/(x+1) lgdogf] A154806 4.41304 [{a(n+3)-16*a(n+2)-a(n+1)+16*a(n),a(0)=15,a(1)=240,a(2)=3855} ogf] A154806 4.60491 [-(21931*f(x)+659200)*(16*f(x)*x^3-f(x)*x^2-16*f(x)*x+f(x)-15) ogf] A154806 7.78772 [-(-48*x^2+2*x+16)/(-16*x^3+x^2+16*x-1) lgdogf] A154808 12.8017 [31/(x-1)/(32*x-1)/(x+1) ogf] A154808 14.5380 [-2*(-16-x+48*x^2)/(x-1)/(32*x-1)/(x+1) lgdogf] A154808 4.65516 [{a(n+3)-32*a(n+2)-a(n+1)+32*a(n),a(0)=31,a(1)=992,a(2)=31775} ogf] A154808 4.81431 [-(149943*f(x)+9300992)*(32*f(x)*x^3-f(x)*x^2-32*f(x)*x+f(x)-31) ogf] A154808 8.28344 [-(-96*x^2+2*x+32)/(-32*x^3+x^2+32*x-1) lgdogf] A154811 6.75989 [-(x^6+x^5+3*x^4-x^3+3*x^2+x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A154815 10.6782 [-(x^5+2*x^4+5*x^3+4*x^2+7*x+8)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A154825 10.2731 [-2*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A154825 11.6325 [-1/2*(-1+3*x+(1-2*x+9*x^2)^(1/2))/x/(1-2*x+9*x^2)^(1/2) lgdogf] A154825 13.7753 [-(-2*x^2+x)/(3*x-1) revogf] A154825 33.6730 [x*(-1+2*x)/(-1+3*x) revogf] A154870 10.2658 [(13*f(x)-75)*(f(x)*x^3-x^2+f(x)-5*x-7) ogf] A154870 10.4009 [{-a(n+3)-a(n),a(0)=7,a(1)=5,a(2)=1} ogf] A154870 16.1320 [(x^2+5*x+7)/(x+1)/(x^2-x+1) ogf] A154870 17.4576 [-(-5-2*x+x^4+10*x^3+21*x^2)/(x+1)/(x^2-x+1)/(x^2+5*x+7) lgdogf] A154879 11.5681 [-(-10*x^2+12*x-2)/(-10*x^3+x^2+8*x-3) lgdogf] A154879 17.2237 [(5*x-3)/(x+1)/(2*x-1) ogf] A154879 19.1989 [1/2/(-5+2*x)*(-x-3+(9*x^2-14*x+9)^(1/2)) revogf] A154879 19.6912 [-2*(5*x-1)*(x-1)/(-3+5*x)/(2*x-1)/(x+1) lgdogf] A154879 8.61184 [-(9*f(x)-25)*(2*f(x)*x^2+f(x)*x-f(x)-5*x+3) ogf] A154879 9.45202 [{a(n+2)-a(n+1)-2*a(n),a(0)=3,a(1)=-2} ogf] A154890 13.4858 [-(11*x^2-3)/(x-1)/(2*x-1)/(x+1) ogf] A154890 14.2214 [-2*(3-8*x+11*x^4+2*x^2)/(x-1)/(2*x-1)/(x+1)/(11*x^2-3) lgdogf] A154890 6.92192 [-(f(x)-11)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+11*x^2+f(x)-3) ogf] A154890 6.98372 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=3,a(1)=6,a(2)=4} ogf] A154890 8.32103 [-(-22*x^4-4*x^2+16*x-6)/(-22*x^5+11*x^4+28*x^3-14*x^2-6*x+3) lgdogf] A154917 15.4806 [-(-4*x-1)/(-2*x^2-x+1) lgdogf] A154917 20.0829 [-x^2/(x+1)/(2*x-1) ogf] A154917 33.4526 [-(1+4*x)/(x+1)/(2*x-1) lgdogf] A154917 7.43068 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A154920 10.3287 [(9*x^2+18*x+1)/(3*x-1)^2/(3*x+1)^2 ogf] A154920 10.8394 [-18*(1+3*x+27*x^2+9*x^3)/(-1+3*x)/(3*x+1)/(1+18*x+9*x^2) lgdogf] A154920 5.20773 [{(-9*n-36)*a(n+1)+(n+2)*a(n+3),a(0)=1,a(1)=18,a(2)=27} ogf] A154920 6.2598 [(14*f(x)-131)*(81*f(x)*x^4-18*f(x)*x^2-9*x^2+f(x)-18*x-1) ogf] A154920 7.55756 [-(-162*x^3-486*x^2-54*x-18)/(-81*x^4-162*x^3+18*x+1) lgdogf] A154949 14.5372 [1/(x-1)/(x+1)/(x^3+x^2+x-1) ogf] A154949 14.8557 [-(-1-4*x+4*x^3+5*x^4)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A154949 8.90406 [-(5*x^4+4*x^3-4*x-1)/(x^5+x^4-2*x^2-x+1) lgdogf] A154955 10.2387 [{a(n+2),a(0)=1,a(1)=-1} ogf] A154955 139.619 [1/(x-1) lgdogf] A154955 18.9606 [x-1+f(x) ogf] A154955 21.3307 [1/(x-1) lgdogf] A154955 39.2987 [[-1] ogf_with_Euler_transform] A154955 46.5396 [2*x/(1+(1-2*x)^(1/2)) revegf] A154958 13.0110 [-(6*x^3-5*x^2+2*x+1)/(x^4-x^3+x-1) lgdogf] A154958 14.4122 [1/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A154958 21.8838 [-(1+2*x+6*x^3-5*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A154958 28.3098 [x^5-x^2+x+1 ogf_with_Euler_transform] A154964 11.6502 [-(4*x+1)/(-24*x^4-24*x^3+4*x^2+5*x-1) lgdogf] A154964 14.5078 [(4*x^2+2*x-1)/(6*x^2+3*x-1) ogf] A154964 16.3941 [(1+4*x)/(6*x^2+3*x-1)/(4*x^2+2*x-1) lgdogf] A154964 7.53835 [{-a(n+3)+3*a(n+2)+6*a(n+1),a(0)=1,a(1)=1,a(2)=5} ogf] A154964 8.0938 [(-28+31*f(x))*(6*f(x)*x^2+3*f(x)*x-4*x^2-f(x)-2*x+1) ogf] A154968 10.3739 [(9*x^2+3*x-1)/(2*x+1)/(6*x-1) ogf] A154968 14.8112 [(1+6*x)/(6*x-1)/(1+2*x)/(9*x^2+3*x-1) lgdogf] A154968 5.43876 [{-a(n+3)+4*a(n+2)+12*a(n+1),a(0)=1,a(1)=1,a(2)=7} ogf] A154968 5.83533 [(-57+61*f(x))*(12*f(x)*x^2+4*f(x)*x-9*x^2-f(x)-3*x+1) ogf] A154968 8.36107 [-(6*x+1)/(-108*x^4-72*x^3+9*x^2+7*x-1) lgdogf] A154992 12.0018 [(x+1)*x^2/(3*x-1)/(x-1) ogf] A154992 17.4863 [-(-5+6*x+3*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A154992 5.67944 [{a(n+4)-4*a(n+3)+3*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=5} ogf] A154992 7.14715 [-f(x)*(3*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)) ogf] A154992 9.93902 [-(3*x^2+6*x-5)/(3*x^3-x^2-3*x+1) lgdogf] A154996 11.2371 [(16*x^2+4*x-1)/(20*x^2+5*x-1) ogf] A154996 16.3746 [(1+8*x)/(16*x^2+4*x-1)/(20*x^2+5*x-1) lgdogf] A154996 6.00037 [{-a(n+3)+5*a(n+2)+20*a(n+1),a(0)=1,a(1)=1,a(2)=9} ogf] A154996 6.30651 [(-96+101*f(x))*(20*f(x)*x^2+5*f(x)*x-16*x^2-f(x)-4*x+1) ogf] A154996 8.95707 [-(8*x+1)/(-320*x^4-160*x^3+16*x^2+9*x-1) lgdogf] A154997 10.7302 [(25*x^2+5*x-1)/(30*x^2+6*x-1) ogf] A154997 15.2152 [(1+10*x)/(25*x^2+5*x-1)/(30*x^2+6*x-1) lgdogf] A154997 5.67461 [{-a(n+3)+6*a(n+2)+30*a(n+1),a(0)=1,a(1)=1,a(2)=11} ogf] A154997 5.9612 [(-145+151*f(x))*(30*f(x)*x^2+6*f(x)*x-25*x^2-f(x)-5*x+1) ogf] A154997 8.31210 [-(10*x+1)/(-750*x^4-300*x^3+25*x^2+11*x-1) lgdogf] A154999 10.3858 [(36*x^2+6*x-1)/(42*x^2+7*x-1) ogf] A154999 14.7222 [(1+12*x)/(42*x^2+7*x-1)/(36*x^2+6*x-1) lgdogf] A154999 5.49251 [{-a(n+3)+7*a(n+2)+42*a(n+1),a(0)=1,a(1)=1,a(2)=13} ogf] A154999 5.76991 [(-204+211*f(x))*(42*f(x)*x^2+7*f(x)*x-36*x^2-f(x)-6*x+1) ogf] A154999 7.93362 [-(12*x+1)/(-1512*x^4-504*x^3+36*x^2+13*x-1) lgdogf] A155000 13.5391 [(1+14*x)/(56*x^2+8*x-1)/(49*x^2+7*x-1) lgdogf] A155000 5.05814 [{-a(n+3)+8*a(n+2)+56*a(n+1),a(0)=1,a(1)=1,a(2)=15} ogf] A155000 5.31361 [(-273+281*f(x))*(56*f(x)*x^2+8*f(x)*x-49*x^2-f(x)-7*x+1) ogf] A155000 7.30621 [-(14*x+1)/(-2744*x^4-784*x^3+49*x^2+15*x-1) lgdogf] A155000 9.56449 [(49*x^2+7*x-1)/(56*x^2+8*x-1) ogf] A155001 14.0715 [(1+16*x)/(72*x^2+9*x-1)/(64*x^2+8*x-1) lgdogf] A155001 5.25269 [{-a(n+3)+9*a(n+2)+72*a(n+1),a(0)=1,a(1)=1,a(2)=17} ogf] A155001 5.51798 [(-352+361*f(x))*(72*f(x)*x^2+9*f(x)*x-64*x^2-f(x)-8*x+1) ogf] A155001 7.48329 [-(16*x+1)/(-4608*x^4-1152*x^3+64*x^2+17*x-1) lgdogf] A155001 9.93236 [(64*x^2+8*x-1)/(72*x^2+9*x-1) ogf] A155017 12.4225 [(1+18*x)/(90*x^2+10*x-1)/(81*x^2+9*x-1) lgdogf] A155017 4.72202 [{-a(n+3)+10*a(n+2)+90*a(n+1),a(0)=1,a(1)=1,a(2)=19} ogf] A155017 4.95812 [(-441+451*f(x))*(90*f(x)*x^2+10*f(x)*x-81*x^2-f(x)-9*x+1) ogf] A155017 6.79195 [-(18*x+1)/(-7290*x^4-1620*x^3+81*x^2+19*x-1) lgdogf] A155017 8.85379 [(81*x^2+9*x-1)/(90*x^2+10*x-1) ogf] A155020 13.8630 [-(2*x+1)/(-2*x^4-4*x^3+x^2+3*x-1) lgdogf] A155020 16.7402 [(x^2+x-1)/(2*x^2+2*x-1) ogf] A155020 28.1731 [(1+2*x)/(2*x^2+2*x-1)/(x^2+x-1) lgdogf] A155020 8.69832 [{-a(n+3)+2*a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A155020 9.4386 [(-9+11*f(x))*(2*f(x)*x^2+2*f(x)*x-x^2-f(x)-x+1) ogf] A155041 10.0594 [-(3*x^5+x^4+3*x^3-5*x^2+3*x+1)/(x^6-1) lgdogf] A155041 11.7617 [-(x^2+x+1)/(x-1)/(x^2-x+1)/(x+1)^2 ogf] A155041 14.6428 [-(1+3*x-5*x^2+3*x^3+x^4+3*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A155041 23.0972 [x^5-2*x^2+x+1 ogf_with_Euler_transform] A155046 13.5039 [-(1+6*x+2*x^5+4*x^3+3*x^4+2*x^2)/(x^2+x+1)/(x^4+2*x^2-1) lgdogf] A155046 13.5259 [-(x^2+x+1)/(x^4+2*x^2-1) ogf] A155046 8.031 [(206*f(x)+57)*(f(x)*x^4+2*f(x)*x^2+x^2-f(x)+x+1) ogf] A155049 10.5502 [-(50*x^2+20*x-18)/(50*x^3-55*x^2-8*x+1) lgdogf] A155049 14.6118 [-1/10*(-1-13*x+((1+3*x)*(43*x+1))^(1/2))/(-1+2*x) revogf] A155049 15.4886 [(5*x+1)/(10*x^2-13*x+1) ogf] A155049 16.6507 [-2*(-9+10*x+25*x^2)/(5*x+1)/(10*x^2-13*x+1) lgdogf] A155049 8.08848 [(107*f(x)+55)*(10*f(x)*x^2-13*f(x)*x+f(x)-5*x-1) ogf] A155049 8.56426 [{-a(n+2)+13*a(n+1)-10*a(n),a(0)=1,a(1)=18} ogf] A155051 6.31323 [-f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2-x^2+f(x)-2*x-1 ogf] A155069 11.441 [-f(x)^2-f(x)*x+3*f(x)-2 ogf] A155069 17.4793 [1/(x^2-6*x+1)^(1/2) lgdogf] A155069 21.2601 [1/2/(x+2)*(3+(1-4*x)^(1/2))*x revogf] A155069 32.4496 [1/(x^2+1-6*x)^(1/2) lgdogf] A155069 4.43137 [{-a(n+1)*n+(6*n+9)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A155073 10.6370 [-(-48*x^2-16*x-18)/(-48*x^3-80*x^2-6*x+1) lgdogf] A155073 15.6950 [1/4*(-12*x-1+((4*x+1)*(44*x+1))^(1/2))/(3+4*x) revogf] A155073 15.9555 [-(6*x+1)/(8*x^2+12*x-1) ogf] A155073 18.0493 [-2*(9+8*x+24*x^2)/(6*x+1)/(8*x^2+12*x-1) lgdogf] A155073 8.34039 [(58*f(x)+23)*(8*f(x)*x^2+12*f(x)*x-f(x)+6*x+1) ogf] A155073 8.73755 [{a(n+2)-12*a(n+1)-8*a(n),a(0)=1,a(1)=18} ogf] A155084 14.4233 [(-1-6*x+2*(1+12*x^2)^(1/2))*x/(-1+2*x)^2 revogf] A155084 6.40731 [4*f(x)^2*x^2+12*f(x)^2*x-3*f(x)^2-4*f(x)*x+2*f(x)+1 ogf] A155084 8.07496 [(-6*x-1+2*(12*x^2+1)^(1/2))/(4*x^2-4*x+1)*x revogf] A155086 10.3053 [-(5*x^3+11*x^2+28*x+8)/(5*x^4+3*x^3-3*x-5) lgdogf] A155086 12.5015 [(5*x^2+3*x+5)/(x+1)/(x-1)^2 ogf] A155086 15.2405 [-(8+28*x+11*x^2+5*x^3)/(-1+x)/(x+1)/(5*x^2+3*x+5) lgdogf] A155086 6.74858 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=8,a(2)=18} ogf] A155086 7.12965 [-(17*f(x)+371)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-3*x-5) ogf] A155095 10.9564 [-(-4*x^3-22*x^2-29*x-13)/(-4*x^4-9*x^3+9*x+4) lgdogf] A155095 13.4710 [(4*x^2+9*x+4)/(x+1)/(x-1)^2 ogf] A155095 16.4444 [-(13+29*x+22*x^2+4*x^3)/(x-1)/(x+1)/(4*x^2+9*x+4) lgdogf] A155095 7.02334 [-(35*f(x)+19)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-9*x-4) ogf] A155095 7.20816 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=13,a(2)=21} ogf] A155096 10.5874 [-(12*x^3+22*x^2+65*x+17)/(12*x^4+5*x^3-5*x-12) lgdogf] A155096 13.1083 [(12*x^2+5*x+12)/(x+1)/(x-1)^2 ogf] A155096 15.5758 [-(17+65*x+22*x^2+12*x^3)/(x-1)/(x+1)/(12*x^2+5*x+12) lgdogf] A155096 6.71399 [-(301*f(x)+11609)*(f(x)*x^3-f(x)*x^2-f(x)*x-12*x^2+f(x)-5*x-12) ogf] A155096 7.18104 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=12,a(1)=17,a(2)=41} ogf] A155097 10.7765 [-(-6*x^3-56*x^2-55*x-31)/(-6*x^4-25*x^3+25*x+6) lgdogf] A155097 13.3837 [(6*x^2+25*x+6)/(x+1)/(x-1)^2 ogf] A155097 16.2782 [-(31+55*x+6*x^3+56*x^2)/(x-1)/(x+1)/(6*x^2+25*x+6) lgdogf] A155097 7.15337 [(19*f(x)+4303)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-25*x-6) ogf] A155097 7.27887 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=31,a(2)=43} ogf] A155098 10.6735 [-(-9*x^3-55*x^2-68*x-32)/(-9*x^4-23*x^3+23*x+9) lgdogf] A155098 13.2558 [(9*x^2+23*x+9)/(x+1)/(x-1)^2 ogf] A155098 16.1211 [-(32+68*x+55*x^2+9*x^3)/(x-1)/(x+1)/(9*x^2+23*x+9) lgdogf] A155098 7.02443 [-(91*f(x)+5)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-23*x-9) ogf] A155098 7.20928 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=9,a(1)=32,a(2)=50} ogf] A155107 10.1483 [-(-23*x^3-37*x^2-122*x-30)/(-23*x^4-7*x^3+7*x+23) lgdogf] A155107 12.7256 [(23*x^2+7*x+23)/(x+1)/(x-1)^2 ogf] A155107 14.8330 [-(30+122*x+37*x^2+23*x^3)/(x-1)/(x+1)/(23*x^2+7*x+23) lgdogf] A155107 6.51801 [-(340*f(x)+21723)*(f(x)*x^3-f(x)*x^2-f(x)*x-23*x^2+f(x)-7*x-23) ogf] A155107 6.97143 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=23,a(1)=30,a(2)=76} ogf] A155110 11.7148 [-(-x^2+2*x-2)/(-x^3+4*x^2-4*x+1) lgdogf] A155110 16.6610 [-8*(x-1)/(x^2-3*x+1) ogf] A155110 17.9614 [-1/2*(-8-3*x+(64+16*x+5*x^2)^(1/2))/(8+x) revogf] A155110 24.5472 [-(2-2*x+x^2)/(x-1)/(x^2-3*x+1) lgdogf] A155110 8.23897 [-(21*f(x)-40)*(f(x)*x^2-3*f(x)*x+f(x)+8*x-8) ogf] A155110 9.03307 [{a(n+2)-3*a(n+1)+a(n),a(0)=8,a(1)=16} ogf] A155116 10.5117 [-(-4*x-2)/(3*x^4+6*x^3-x^2-4*x+1) lgdogf] A155116 12.6933 [(x^2+x-1)/(3*x^2+3*x-1) ogf] A155116 19.9961 [2*(2*x+1)/(3*x^2+3*x-1)/(x^2+x-1) lgdogf] A155116 6.59555 [{-a(n+3)+3*a(n+2)+3*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A155116 7.08153 [(-13+19*f(x))*(3*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+1) ogf] A155117 11.1394 [(x^2+x-1)/(4*x^2+4*x-1) ogf] A155117 17.5159 [3*(2*x+1)/(4*x^2+4*x-1)/(x^2+x-1) lgdogf] A155117 5.73193 [{-a(n+3)+4*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=15} ogf] A155117 6.21462 [(-17+29*f(x))*(4*f(x)*x^2+4*f(x)*x-x^2-f(x)-x+1) ogf] A155117 9.22483 [-(6*x+3)/(-4*x^4-8*x^3+x^2+5*x-1) lgdogf] A155119 3.67245 [-(4000000000000*x^18-11000000000000*x^17+6000000000000*x^16-x^2-x+1)/(35000000000000*x^17-6000000000000*x^16+5*x^2+5*x-1) ogf] A155119 6.83283 [(-21+41*f(x))*(5*f(x)*x^2+5*f(x)*x-x^2-f(x)-x+1) ogf] A155120 11.8282 [-2*(1+8*x+x^3+2*x^2)/(-1+x)/(2*x^3-x^2+6*x-1) lgdogf] A155120 3.71623 [(18819*f(x)+27505)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+2*x^2+f(x)-12*x+2) ogf] A155120 6.95603 [2*(2*x^3-x^2+6*x-1)/(x-1)^4 ogf] A155121 6.72637 [(3*x^4-32*x^3-2*x^2-20*x+3)/(x-1)^5 ogf] A155121 9.87933 [-(-5-84*x-102*x^2-52*x^3+3*x^4)/(x-1)/(3*x^4-32*x^3-2*x^2-20*x+3) lgdogf] A155122 11.3913 [-(105*x^2+210*x+45)/(35*x^3-33*x-2) lgdogf] A155122 17.6862 [-15*(3+14*x+7*x^2)/(x-1)/(35*x^2+35*x+2) lgdogf] A155122 3.73778 [{(6+2*n)*a(n+4)+(21+33*n)*a(n+3)-210*a(n+2)+(-105-35*n)*a(n+1),a(0)=0,a(1)=16,a(2)=360,a(3)=1920} ogf] A155122 8.15515 [-8*x*(35*x^2+35*x+2)/(x-1)^5 ogf] A155127 10.7394 [(x^2+x-1)/(6*x^2+6*x-1) ogf] A155127 16.8850 [5*(2*x+1)/(6*x^2+6*x-1)/(x^2+x-1) lgdogf] A155127 5.52611 [{-a(n+3)+6*a(n+2)+6*a(n+1),a(0)=1,a(1)=5,a(2)=35} ogf] A155127 6.0552 [(-5+11*f(x))*(6*f(x)*x^2+6*f(x)*x-x^2-f(x)-x+1) ogf] A155127 8.62408 [-(10*x+5)/(-6*x^4-12*x^3+x^2+7*x-1) lgdogf] A155130 11.4177 [(x^2+x-1)/(7*x^2+7*x-1) ogf] A155130 17.9744 [6*(1+2*x)/(x^2+x-1)/(7*x^2+7*x-1) lgdogf] A155130 5.87512 [{-a(n+3)+7*a(n+2)+7*a(n+1),a(0)=1,a(1)=6,a(2)=48} ogf] A155130 6.36987 [(-29+71*f(x))*(7*f(x)*x^2+7*f(x)*x-x^2-f(x)-x+1) ogf] A155130 9.16874 [-(12*x+6)/(-7*x^4-14*x^3+x^2+8*x-1) lgdogf] A155132 10.7222 [(x^2+x-1)/(8*x^2+8*x-1) ogf] A155132 16.8636 [7*(2*x+1)/(8*x^2+8*x-1)/(x^2+x-1) lgdogf] A155132 5.51725 [{-a(n+3)+8*a(n+2)+8*a(n+1),a(0)=1,a(1)=7,a(2)=63} ogf] A155132 5.98186 [(-33+89*f(x))*(8*f(x)*x^2+8*f(x)*x-x^2-f(x)-x+1) ogf] A155132 8.61026 [-(14*x+7)/(-8*x^4-16*x^3+x^2+9*x-1) lgdogf] A155135 8.69141 [(-27+18*x^9-27*x^8+60*x-27*x^2-48*x^5+101*x^6-44*x^7)/(x-1)/(3*x^9-11*x^7+8*x^6+27*x^2-57*x+28) lgdogf] A155135 9.14482 [(3*x^9-11*x^7+8*x^6+27*x^2-57*x+28)/(x-1)^3 ogf] A155136 11.3504 [-(27*x^2-60*x+27)/(27*x^3-84*x^2+85*x-28) lgdogf] A155136 12.5918 [(9*x-7)*(3*x-4)/(x-1)^3 ogf] A155136 20.8641 [-3*(9-20*x+9*x^2)/(x-1)/(9*x-7)/(3*x-4) lgdogf] A155136 6.88784 [(20*f(x)-637)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-27*x^2-f(x)+57*x-28) ogf] A155136 7.00762 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-28,a(1)=-27,a(2)=-24} ogf] A155137 6.25118 [3*x*(5*x^9+x^8-19*x^7+x^6+16*x^5+9*x^2-20*x+9)/(x-1)^4 ogf] A155137 6.81389 [(-16+25*x^9-41*x^8+42*x-18*x^2-80*x^4+10*x^5+135*x^6-65*x^7)/(x-1)/(5*x^9+x^8-19*x^7+x^6+16*x^5+9*x^2-20*x+9) lgdogf] A155138 6.86347 [3*x*(10*x^8-8*x^7-30*x^6+32*x^5+9*x^2-20*x+9)/(x-1)^4 ogf] A155138 7.57568 [2*(-8+20*x^8+21*x-9*x^2-80*x^4+106*x^5-2*x^6-52*x^7)/(x-1)/(10*x^8-8*x^7-30*x^6+32*x^5+9*x^2-20*x+9) lgdogf] A155144 10.7778 [(x^2+x-1)/(9*x^2+9*x-1) ogf] A155144 16.9528 [8*(2*x+1)/(9*x^2+9*x-1)/(x^2+x-1) lgdogf] A155144 5.54583 [{-a(n+3)+9*a(n+2)+9*a(n+1),a(0)=1,a(1)=8,a(2)=80} ogf] A155144 5.95022 [(-37+109*f(x))*(9*f(x)*x^2+9*f(x)*x-x^2-f(x)-x+1) ogf] A155144 8.52569 [-(16*x+8)/(-9*x^4-18*x^3+x^2+10*x-1) lgdogf] A155148 3.63861 [-10*f(x)*x+20*x^2+f(x)+17*x-2 ogf] A155148 4.24506 [(20*x^2+17*x-2)/(10*x-1) ogf] A155149 3.22314 [(40*x^9+100*x^8+166*x^7+130*x^6+90*x^5+74*x^4+39*x^3+31*x^2-5*x-4)/(10*x^2-1) ogf] A155155 13.6589 [-2*(7*x-9)/(3*x-1)/(x-1) ogf] A155155 16.1347 [-(29-54*x+21*x^2)/(x-1)/(3*x-1)/(7*x-9) lgdogf] A155155 16.5593 [-(-9-2*x+(81+22*x+x^2)^(1/2))/(14+3*x) revogf] A155155 7.13297 [(31*f(x)+283)*(3*f(x)*x^2-4*f(x)*x+f(x)+14*x-18) ogf] A155155 7.64245 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=18,a(1)=58} ogf] A155155 9.17094 [-(-21*x^2+54*x-29)/(-21*x^3+55*x^2-43*x+9) lgdogf] A155157 15.3603 [9*(2*x+1)/(x^2+x-1)/(10*x^2+10*x-1) lgdogf] A155157 5.23019 [{-a(n+3)+10*a(n+2)+10*a(n+1),a(0)=1,a(1)=9,a(2)=99} ogf] A155157 5.60378 [(-41+131*f(x))*(10*f(x)*x^2+10*f(x)*x-x^2-f(x)-x+1) ogf] A155157 8.07603 [-(18*x+9)/(-10*x^4-20*x^3+x^2+11*x-1) lgdogf] A155157 9.98491 [(x^2+x-1)/(10*x^2+10*x-1) ogf] A155158 12.7789 [-(x+1)*(3*x+1)/(x^2+1)/(x-1) ogf] A155158 6.60602 [-(87*f(x)+967)*(f(x)*x^3-f(x)*x^2+f(x)*x+3*x^2-f(x)+4*x+1) ogf] A155158 6.95992 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=7} ogf] A155158 9.60323 [-(5+4*x+3*x^4+8*x^3-4*x^2)/(-1+x)/(1+3*x)/(x+1)/(x^2+1) lgdogf] A155158 9.74389 [-(3*x^4+8*x^3-4*x^2+4*x+5)/(3*x^5+x^4-3*x-1) lgdogf] A155179 11.3588 [(x^2+x-1)/(x^2+4*x-1) ogf] A155179 19.0152 [3*(1+x^2)/(x^2+x-1)/(x^2+4*x-1) lgdogf] A155179 5.84480 [{a(n+3)-4*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A155179 8.47908 [-f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1 ogf] A155179 8.85315 [-(3*x^2+3)/(-x^4-5*x^3-2*x^2+5*x-1) lgdogf] A155181 11.6643 [(x^2+x-1)/(x^2+5*x-1) ogf] A155181 19.5433 [4*(1+x^2)/(x^2+x-1)/(x^2+5*x-1) lgdogf] A155181 6.00202 [{a(n+3)-5*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=20} ogf] A155181 8.70716 [-f(x)*x^2-5*f(x)*x+x^2+f(x)+x-1 ogf] A155181 9.09129 [-(-4*x^2-4)/(x^4+6*x^3+3*x^2-6*x+1) lgdogf] A155195 11.4313 [(x^2+x-1)/(x^2+6*x-1) ogf] A155195 19.1510 [5*(1+x^2)/(x^2+x-1)/(x^2+6*x-1) lgdogf] A155195 5.88213 [{a(n+3)-6*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=30} ogf] A155195 8.53324 [-f(x)*x^2-6*f(x)*x+x^2+f(x)+x-1 ogf] A155195 8.90969 [-(-5*x^2-5)/(x^4+7*x^3+4*x^2-7*x+1) lgdogf] A155196 11.0220 [(x^2+x-1)/(x^2+7*x-1) ogf] A155196 18.4576 [6*(1+x^2)/(x^2+x-1)/(x^2+7*x-1) lgdogf] A155196 5.67152 [{a(n+3)-7*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=42} ogf] A155196 8.22772 [-f(x)*x^2-7*f(x)*x+x^2+f(x)+x-1 ogf] A155196 8.59069 [-(6*x^2+6)/(-x^4-8*x^3-5*x^2+8*x-1) lgdogf] A155197 11.5873 [(x^2+x-1)/(x^2+8*x-1) ogf] A155197 19.4239 [7*(1+x^2)/(x^2+x-1)/(x^2+8*x-1) lgdogf] A155197 5.96238 [{a(n+3)-8*a(n+2)-a(n+1),a(0)=1,a(1)=7,a(2)=56} ogf] A155197 8.64965 [-f(x)*x^2-8*f(x)*x+x^2+f(x)+x-1 ogf] A155197 9.03125 [-(-7*x^2-7)/(x^4+9*x^3+6*x^2-9*x+1) lgdogf] A155198 10.7778 [(x^2+x-1)/(x^2+9*x-1) ogf] A155198 18.0466 [8*(1+x^2)/(x^2+x-1)/(x^2+9*x-1) lgdogf] A155198 5.54583 [{a(n+3)-9*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=72} ogf] A155198 8.04537 [-f(x)*x^2-9*f(x)*x+x^2+f(x)+x-1 ogf] A155198 8.16030 [-(-8*x^2-8)/(x^4+10*x^3+7*x^2-10*x+1) lgdogf] A155199 10.2753 [-f(x)*x^2-10*f(x)*x+x^2+f(x)+x-1 ogf] A155199 5.00257 [{a(n+3)-10*a(n+2)-a(n+1),a(0)=1,a(1)=9,a(2)=90} ogf] A155199 7.43239 [-(9*x^2+9)/(-x^4-11*x^3-8*x^2+11*x-1) lgdogf] A155199 9.63457 [(x^2+x-1)/(x^2+10*x-1) ogf] A155212 12.9033 [-(2*x^2+2*x-7)/(2*x^3-3*x^2-x+2) lgdogf] A155212 13.5379 [(2*x^2-x-2)/(x-1)^3 ogf] A155212 22.5001 [-(13-12*x+2*x^2)/(x-1)/(2*x^2-8*x+7) lgdogf] A155212 6.93958 [-(47*f(x)-1399)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+x+2) ogf] A155212 7.30804 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=7,a(2)=13} ogf] A155449 10.9564 [-(6*x^3+16*x^2+35*x+11)/(6*x^4+5*x^3-5*x-6) lgdogf] A155449 13.4710 [(6*x^2+5*x+6)/(x+1)/(x-1)^2 ogf] A155449 16.4444 [-(11+35*x+16*x^2+6*x^3)/(x-1)/(x+1)/(6*x^2+5*x+6) lgdogf] A155449 6.9053 [-(19*f(x)+1043)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-5*x-6) ogf] A155449 7.20816 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=11,a(2)=23} ogf] A155450 10.8272 [-(-5*x^3-31*x^2-38*x-18)/(-5*x^4-13*x^3+13*x+5) lgdogf] A155450 13.4467 [(5*x^2+13*x+5)/(x+1)/(x-1)^2 ogf] A155450 16.3548 [-(18+38*x+5*x^3+31*x^2)/(x-1)/(x+1)/(5*x^2+13*x+5) lgdogf] A155450 7.31313 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=18,a(2)=28} ogf] A155450 7.37786 [(14*f(x)-3)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-13*x-5) ogf] A155455 11.9345 [-(-32*x-5)/(-16*x^2-5*x+1) lgdogf] A155455 14.6898 [(1+16*x^2)/(16*x^2+5*x-1)/(16*x^2+4*x-1) lgdogf] A155455 15.7033 [-x/(16*x^2+5*x-1) ogf] A155455 7.27715 [{-a(n+2)+5*a(n+1)+16*a(n),a(0)=0,a(1)=1} ogf] A155455 9.94544 [-16*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A155456 4.05155 [{n^2*a(n)+(n^2+4*n+2)*a(n+1)+(n+2)*a(n+2),a(0)=-1,a(1)=-1} ogf] A155458 11.7906 [(25*x^2+5*x-1)/(25*x^2+6*x-1) ogf] A155458 15.9076 [(1+25*x^2)/(25*x^2+6*x-1)/(25*x^2+5*x-1) lgdogf] A155458 6.29595 [{a(n+3)-6*a(n+2)-25*a(n+1),a(0)=1,a(1)=1,a(2)=6} ogf] A155458 8.64644 [-(25*x^2+1)/(-625*x^4-275*x^3+20*x^2+11*x-1) lgdogf] A155458 8.88333 [-25*f(x)*x^2-6*f(x)*x+25*x^2+f(x)+5*x-1 ogf] A155459 10.0646 [(36*x^2+6*x-1)/(36*x^2+7*x-1) ogf] A155459 5.37432 [{a(n+3)-7*a(n+2)-36*a(n+1),a(0)=1,a(1)=1,a(2)=7} ogf] A155459 7.28362 [-(36*x^2+1)/(-1296*x^4-468*x^3+30*x^2+13*x-1) lgdogf] A155459 7.58294 [-36*f(x)*x^2-7*f(x)*x+36*x^2+f(x)+6*x-1 ogf] A155460 10.5465 [(49*x^2+7*x-1)/(49*x^2+8*x-1) ogf] A155460 14.2069 [(1+49*x^2)/(49*x^2+7*x-1)/(49*x^2+8*x-1) lgdogf] A155460 5.63160 [{a(n+3)-8*a(n+2)-49*a(n+1),a(0)=1,a(1)=1,a(2)=8} ogf] A155460 7.63230 [-(49*x^2+1)/(-2401*x^4-735*x^3+42*x^2+15*x-1) lgdogf] A155460 7.94595 [-49*f(x)*x^2-8*f(x)*x+49*x^2+f(x)+7*x-1 ogf] A155461 10.9795 [-(21*x^2+56*x-83)/(21*x^3-14*x^2-37*x+30) lgdogf] A155461 12.3737 [(21*x^2+7*x-30)/(x-1)^3 ogf] A155461 19.1102 [-(-83+56*x+21*x^2)/(x-1)/(21*x^2+7*x-30) lgdogf] A155461 6.33775 [(4996*f(x)-56915325)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-21*x^2-f(x)-7*x+30) ogf] A155461 6.72020 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=83,a(2)=138} ogf] A155464 10.0027 [17*x*(x-3)/(x-1)/(x^2-6*x+1) ogf] A155464 12.3654 [-2*(-10+21*x-8*x^2+x^3)/(x-1)/(x-3)/(x^2+1-6*x) lgdogf] A155464 5.08758 [-(20*f(x)+153)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-17*x^2-f(x)+51*x) ogf] A155464 5.17683 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=51,a(2)=340} ogf] A155464 6.86231 [-(2*x^3-16*x^2+42*x-20)/(x^4-10*x^3+28*x^2-22*x+3) lgdogf] A155465 4.66777 [-(5948248*f(x)-5798827)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-12*x^2-f(x)+39*x+7) ogf] A155465 5.23602 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=7,a(1)=88,a(2)=555} ogf] A155465 8.80834 [-2*(-44+61*x+84*x^2-39*x^3+6*x^4)/(x-1)/(x^2-6*x+1)/(12*x^2-39*x-7) lgdogf] A155465 9.55781 [(12*x^2-39*x-7)/(x-1)/(x^2-6*x+1) ogf] A155466 4.38242 [-(3287864*f(x)-1659521)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-5*x^2-f(x)+11*x+28) ogf] A155466 4.79095 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=28,a(1)=207,a(2)=1248} ogf] A155466 8.14051 [-(-207+402*x-42*x^2-22*x^3+5*x^4)/(-1+x)/(x^2-6*x+1)/(5*x^2-11*x-28) lgdogf] A155466 8.97352 [(5*x^2-11*x-28)/(x-1)/(x^2-6*x+1) ogf] A155477 11.5632 [-1849*f(x)*x+f(x)-43 ogf] A155477 17.9429 [-43/(1849*x-1) ogf] A155477 30.0443 [1/1849*ln(1+43*x) revegf] A155477 30.0443 [-1849/(-1+1849*x) lgdogf] A155477 9.29186 [{a(n+1)-1849*a(n),a(0)=43} ogf] A155485 11.5204 [-(3*x-1)^2/(x-1)/(4*x-1)/(5*x-1) ogf] A155485 12.9392 [-4*(-1+7*x+15*x^3-15*x^2)/(x-1)/(-1+4*x)/(3*x-1)/(5*x-1) lgdogf] A155485 6.24838 [-(3*f(x)+7)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x+9*x^2-f(x)-6*x+1) ogf] A155485 6.35610 [{-a(n+3)+10*a(n+2)-29*a(n+1)+20*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A155485 8.37850 [-(60*x^3-60*x^2+28*x-4)/(60*x^4-107*x^3+59*x^2-13*x+1) lgdogf] A155519 5.46280 [{(n^2+3*n)*a(n)-a(n+2)+2*a(n+1),a(0)=1,a(1)=2} ogf] A155521 3.69033 [{(-n^2-6*n-9)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A155542 10.2648 [-(-25*x^2-50*x-9)/(-25*x^3-33*x^2-7*x+1) lgdogf] A155542 15.1740 [-2*(x+1)/(25*x^2+8*x-1) ogf] A155542 17.5903 [(-1-4*x+(1+10*x+41*x^2)^(1/2))/(2+25*x) revogf] A155542 18.5411 [-(5*x+9)*(5*x+1)/(x+1)/(25*x^2+8*x-1) lgdogf] A155542 7.58702 [-(61*f(x)-41)*(25*f(x)*x^2+8*f(x)*x-f(x)+2*x+2) ogf] A155542 8.30958 [{-a(n+2)+8*a(n+1)+25*a(n),a(0)=2,a(1)=18} ogf] A155543 14.619 [-4*f(x)*x+f(x)+4*x-2 ogf] A155543 17.7799 [2*(2*x-1)/(4*x-1) ogf] A155543 18.2738 [-2/(-8*x^2+6*x-1) lgdogf] A155543 22.2463 [1/4+1/2*x-1/4*(4*x^2+1)^(1/2) revogf] A155543 37.9497 [2/(4*x-1)/(2*x-1) lgdogf] A155543 9.13689 [{a(n+2)-4*a(n+1),a(0)=2,a(1)=4} ogf] A155557 10.1469 [-(53093-106170*x+53089*x^2)/(x-1)/(53089*x^2-106174*x+53089) lgdogf] A155557 4.54321 [(53069*f(x)+5635822110)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+53089*x^2-f(x)-106174*x+53089) ogf] A155557 5.01952 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=53089,a(1)=53093,a(2)=53101} ogf] A155557 8.41108 [-(53089*x^2-106174*x+53089)/(x-1)^3 ogf] A155559 11.0757 [{-a(n+2)+2*a(n+1),a(0)=0,a(1)=2} ogf] A155559 13.3284 [-f(x)*(2*f(x)*x-f(x)+2*x) ogf] A155559 27.1165 [-2*x/(2*x-1) ogf] A155559 28.0849 [2/(-2*x+1) lgdogf] A155559 70.5272 [1/2*ln(x+1) revegf] A155559 77.5799 [-2/(2*x-1) lgdogf] A155579 14.2802 [-1/9*(1-3*x)^(1/2)+1/3*(1-3*x)^(1/2)*x+1/9 revogf] A155579 5.82809 [{(-9*n-12)*a(n+1)+(n+3)*a(n+2),a(0)=2,a(1)=3} ogf] A155579 8.49929 [1/3*(1-3*x)^(1/2)*x-1/9*(1-3*x)^(1/2)+1/9 revogf] A155579 9.71348 [9*x-2+f(x)-3*f(x)^2*x+3*x^2*f(x)^3 ogf] A155587 4.37248 [{(-4*n-6)*a(n+1)+(5*n+9)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A155587 6.90391 [-f(x)^2*x^2+2*f(x)^2*x-f(x)^2-3*f(x)*x+3*f(x)-x-2 ogf] A155587 9.73771 [1/2*(-4*x^2-19*x+5+3*(-(4*x-1)*(x-1)^2)^(1/2))/(x+2)/(4*x-1)/(x-1) lgdogf] A155588 5.07446 [-(207*f(x)-67)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-3*x^2-f(x)-2*x+1) ogf] A155588 5.29509 [{a(n+3)-8*a(n+2)+17*a(n+1)-10*a(n),a(0)=1,a(1)=6,a(2)=28} ogf] A155588 8.52244 [-2*(-3+20*x-44*x^2+20*x^3+15*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(5*x-1)/(x+1) lgdogf] A155588 9.66563 [(x+1)*(3*x-1)/(x-1)/(2*x-1)/(5*x-1) ogf] A155589 5.26834 [{a(n+3)-9*a(n+2)+20*a(n+1)-12*a(n),a(0)=1,a(1)=7,a(2)=39} ogf] A155589 5.31456 [(59*f(x)+7)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x-4*x^2-f(x)-2*x+1) ogf] A155589 8.73061 [-(-7+48*x+48*x^4+48*x^3-112*x^2)/(x-1)/(6*x-1)/(2*x-1)/(4*x^2+2*x-1) lgdogf] A155589 9.61681 [(4*x^2+2*x-1)/(x-1)/(6*x-1)/(2*x-1) ogf] A155590 4.92519 [(725*f(x)+171)*(14*f(x)*x^3-23*f(x)*x^2+10*f(x)*x-5*x^2-f(x)-2*x+1) ogf] A155590 5.01010 [{a(n+3)-10*a(n+2)+23*a(n+1)-14*a(n),a(0)=1,a(1)=8,a(2)=52} ogf] A155590 8.49535 [-2*(x+2)*(35*x^3-42*x^2+15*x-2)/(x-1)/(2*x-1)/(7*x-1)/(5*x^2+2*x-1) lgdogf] A155590 9.08081 [(5*x^2+2*x-1)/(x-1)/(2*x-1)/(7*x-1) ogf] A155592 5.11771 [(3573*f(x)+1003)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x-6*x^2-f(x)-2*x+1) ogf] A155592 5.29418 [{a(n+3)-11*a(n+2)+26*a(n+1)-16*a(n),a(0)=1,a(1)=9,a(2)=67} ogf] A155592 8.85503 [-(-9+64*x-166*x^2+64*x^3+96*x^4)/(x-1)/(8*x-1)/(2*x-1)/(6*x^2+2*x-1) lgdogf] A155592 9.59570 [(6*x^2+2*x-1)/(x-1)/(8*x-1)/(2*x-1) ogf] A155593 4.74517 [(15239*f(x)+4597)*(18*f(x)*x^3-29*f(x)*x^2+12*f(x)*x-7*x^2-f(x)-2*x+1) ogf] A155593 4.90740 [{a(n+3)-12*a(n+2)+29*a(n+1)-18*a(n),a(0)=1,a(1)=10,a(2)=84} ogf] A155593 8.15055 [-2*(-5+36*x-98*x^2+36*x^3+63*x^4)/(x-1)/(2*x-1)/(9*x-1)/(7*x^2+2*x-1) lgdogf] A155593 8.97134 [(7*x^2+2*x-1)/(x-1)/(2*x-1)/(9*x-1) ogf] A155594 4.66346 [(1832*f(x)+573)*(20*f(x)*x^3-32*f(x)*x^2+13*f(x)*x-8*x^2-f(x)-2*x+1) ogf] A155594 4.70297 [{a(n+3)-13*a(n+2)+32*a(n+1)-20*a(n),a(0)=1,a(1)=11,a(2)=103} ogf] A155594 7.24519 [-(-11+80*x-228*x^2+80*x^3+160*x^4)/(-1+x)/(-1+4*x)/(2*x+1)/(2*x-1)/(10*x-1) lgdogf] A155594 8.67111 [(2*x+1)*(4*x-1)/(x-1)/(2*x-1)/(10*x-1) ogf] A155595 4.70297 [{a(n+3)-14*a(n+2)+35*a(n+1)-22*a(n),a(0)=1,a(1)=12,a(2)=124} ogf] A155595 4.70298 [(567*f(x)+181)*(22*f(x)*x^3-35*f(x)*x^2+14*f(x)*x-9*x^2-f(x)-2*x+1) ogf] A155595 7.54708 [-2*(-6+44*x-131*x^2+44*x^3+99*x^4)/(-1+x)/(2*x-1)/(11*x-1)/(9*x^2+2*x-1) lgdogf] A155595 8.67111 [(9*x^2+2*x-1)/(x-1)/(2*x-1)/(11*x-1) ogf] A155596 5.1171 [-(46*f(x)-21)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x+7*x^2-f(x)-4*x+1) ogf] A155596 5.29509 [{a(n+3)-8*a(n+2)+17*a(n+1)-10*a(n),a(0)=1,a(1)=4,a(2)=22} ogf] A155596 8.64595 [-2*(2-10*x+21*x^2-40*x^3+35*x^4)/(x-1)/(-1+2*x)/(5*x-1)/(7*x^2-4*x+1) lgdogf] A155596 9.66563 [-(7*x^2-4*x+1)/(x-1)/(2*x-1)/(5*x-1) ogf] A155597 5.26834 [{a(n+3)-9*a(n+2)+20*a(n+1)-12*a(n),a(0)=1,a(1)=5,a(2)=33} ogf] A155597 6.27099 [(1475*f(x)-452)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A155597 9.57551 [-(4*x^2+1)*(24*x^2-24*x+5)/(x-1)/(6*x-1)/(2*x-1)/(8*x^2-4*x+1) lgdogf] A155597 9.61681 [-(8*x^2-4*x+1)/(x-1)/(6*x-1)/(2*x-1) ogf] A155598 4.92519 [(522*f(x)-137)*(14*f(x)*x^3-23*f(x)*x^2+10*f(x)*x+9*x^2-f(x)-4*x+1) ogf] A155598 5.01010 [{a(n+3)-10*a(n+2)+23*a(n+1)-14*a(n),a(0)=1,a(1)=6,a(2)=46} ogf] A155598 8.37042 [-2*(3-14*x+22*x^2-56*x^3+63*x^4)/(x-1)/(2*x-1)/(7*x-1)/(9*x^2-4*x+1) lgdogf] A155598 9.08081 [-(9*x^2-4*x+1)/(x-1)/(2*x-1)/(7*x-1) ogf] A155599 5.03381 [(19453*f(x)-4821)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x+10*x^2-f(x)-4*x+1) ogf] A155599 5.29418 [{a(n+3)-11*a(n+2)+26*a(n+1)-16*a(n),a(0)=1,a(1)=7,a(2)=61} ogf] A155599 8.72669 [-(7-32*x+42*x^2-128*x^3+160*x^4)/(x-1)/(8*x-1)/(2*x-1)/(10*x^2-4*x+1) lgdogf] A155599 9.44808 [-(10*x^2-4*x+1)/(x-1)/(8*x-1)/(2*x-1) ogf] A155600 4.76018 [(2488*f(x)-607)*(18*f(x)*x^3-29*f(x)*x^2+12*f(x)*x+11*x^2-f(x)-4*x+1) ogf] A155600 4.92432 [{a(n+3)-12*a(n+2)+29*a(n+1)-18*a(n),a(0)=1,a(1)=8,a(2)=78} ogf] A155600 8.10788 [-2*(4-18*x+19*x^2-72*x^3+99*x^4)/(x-1)/(2*x-1)/(9*x-1)/(11*x^2-4*x+1) lgdogf] A155600 8.78802 [-(11*x^2-4*x+1)/(x-1)/(2*x-1)/(9*x-1) ogf] A155601 4.92432 [{a(n+3)-13*a(n+2)+32*a(n+1)-20*a(n),a(0)=1,a(1)=9,a(2)=97} ogf] A155601 5.86445 [(37098*f(x)-9073)*(20*f(x)*x^3-32*f(x)*x^2+13*f(x)*x+12*x^2-f(x)-4*x+1) ogf] A155601 7.99205 [-(9-40*x+32*x^2-160*x^3+240*x^4)/(x-1)/(2*x-1)/(10*x-1)/(12*x^2-4*x+1) lgdogf] A155601 8.78802 [-(12*x^2-4*x+1)/(x-1)/(2*x-1)/(10*x-1) ogf] A155602 10.4422 [(5*x^2+2*x-1)/(x-1)/(3*x-1)/(4*x-1) ogf] A155602 5.72049 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=1,a(1)=6,a(2)=24} ogf] A155602 5.77068 [(f(x)+23)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x-5*x^2-f(x)-2*x+1) ogf] A155602 9.62902 [-6*(-1+8*x+10*x^4+8*x^3-19*x^2)/(x-1)/(4*x-1)/(3*x-1)/(5*x^2+2*x-1) lgdogf] A155603 5.24944 [(17*f(x)-317)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x-7*x^2-f(x)-2*x+1) ogf] A155603 5.29509 [{a(n+3)-9*a(n+2)+23*a(n+1)-15*a(n),a(0)=1,a(1)=7,a(2)=33} ogf] A155603 8.64595 [-(-7+60*x-154*x^2+60*x^3+105*x^4)/(x-1)/(3*x-1)/(5*x-1)/(7*x^2+2*x-1) lgdogf] A155603 9.66563 [(7*x^2+2*x-1)/(x-1)/(3*x-1)/(5*x-1) ogf] A155604 5.13441 [-(f(x)-1)*(18*f(x)*x^3-27*f(x)*x^2+10*f(x)*x-9*x^2-f(x)-2*x+1) ogf] A155604 5.22292 [{a(n+3)-10*a(n+2)+27*a(n+1)-18*a(n),a(0)=1,a(1)=8,a(2)=44} ogf] A155604 8.48116 [-2*(-4+36*x+81*x^4+36*x^3-99*x^2)/(x-1)/(6*x-1)/(-1+3*x)/(9*x^2+2*x-1) lgdogf] A155604 9.46655 [(9*x^2+2*x-1)/(x-1)/(6*x-1)/(3*x-1) ogf] A155605 5.0101 [(41*f(x)+1)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-11*x^2-f(x)-2*x+1) ogf] A155605 5.01010 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=1,a(1)=9,a(2)=57} ogf] A155605 8.01674 [-3*(-3+28*x-82*x^2+28*x^3+77*x^4)/(x-1)/(-1+3*x)/(7*x-1)/(11*x^2+2*x-1) lgdogf] A155605 8.94111 [(11*x^2+2*x-1)/(x-1)/(3*x-1)/(7*x-1) ogf] A155606 4.93697 [-(4475*f(x)+1237)*(24*f(x)*x^3-35*f(x)*x^2+12*f(x)*x-13*x^2-f(x)-2*x+1) ogf] A155606 5.27453 [{a(n+3)-12*a(n+2)+35*a(n+1)-24*a(n),a(0)=1,a(1)=10,a(2)=72} ogf] A155606 8.17753 [-2*(-5+48*x-149*x^2+48*x^3+156*x^4)/(x-1)/(-1+3*x)/(-1+8*x)/(13*x^2+2*x-1) lgdogf] A155606 9.49415 [(13*x^2+2*x-1)/(x-1)/(3*x-1)/(8*x-1) ogf] A155607 4.82492 [(403*f(x)+149)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x-15*x^2-f(x)-2*x+1) ogf] A155607 4.90740 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=1,a(1)=11,a(2)=89} ogf] A155607 7.49851 [-(-11+108*x-354*x^2+108*x^3+405*x^4)/(x-1)/(-1+3*x)/(9*x-1)/(3*x+1)/(5*x-1) lgdogf] A155607 8.83332 [(3*x+1)*(5*x-1)/(x-1)/(3*x-1)/(9*x-1) ogf] A155608 4.66346 [(637*f(x)+263)*(30*f(x)*x^3-43*f(x)*x^2+14*f(x)*x-17*x^2-f(x)-2*x+1) ogf] A155608 4.70297 [{a(n+3)-14*a(n+2)+43*a(n+1)-30*a(n),a(0)=1,a(1)=12,a(2)=108} ogf] A155608 7.54708 [-6*(-2+20*x-69*x^2+20*x^3+85*x^4)/(-1+x)/(3*x-1)/(10*x-1)/(17*x^2+2*x-1) lgdogf] A155608 8.53771 [(17*x^2+2*x-1)/(x-1)/(3*x-1)/(10*x-1) ogf] A155609 10.1300 [-(11*x^2-6*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A155609 5.49426 [-(9*f(x)-1)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+11*x^2-f(x)-6*x+1) ogf] A155609 5.68704 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A155609 9.34721 [-2*(1-8*x+31*x^2-72*x^3+66*x^4)/(x-1)/(3*x-1)/(4*x-1)/(11*x^2-6*x+1) lgdogf] A155610 5.0487 [-(17*f(x)-37)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x+13*x^2-f(x)-6*x+1) ogf] A155610 5.26821 [{a(n+3)-9*a(n+2)+23*a(n+1)-15*a(n),a(0)=1,a(1)=3,a(2)=17} ogf] A155610 8.60115 [-(3-20*x+66*x^2-180*x^3+195*x^4)/(x-1)/(3*x-1)/(5*x-1)/(13*x^2-6*x+1) lgdogf] A155610 9.46631 [-(13*x^2-6*x+1)/(x-1)/(3*x-1)/(5*x-1) ogf] A155611 5.00711 [-(75*f(x)-47)*(18*f(x)*x^3-27*f(x)*x^2+10*f(x)*x+15*x^2-f(x)-6*x+1) ogf] A155611 5.22292 [{a(n+3)-10*a(n+2)+27*a(n+1)-18*a(n),a(0)=1,a(1)=4,a(2)=28} ogf] A155611 8.99517 [-2*(9*x^2+1)*(15*x^2-12*x+2)/(x-1)/(6*x-1)/(-1+3*x)/(15*x^2-6*x+1) lgdogf] A155611 9.32091 [-(15*x^2-6*x+1)/(x-1)/(6*x-1)/(3*x-1) ogf] A155612 4.8838 [(369*f(x)-173)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+17*x^2-f(x)-6*x+1) ogf] A155612 5.01010 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=1,a(1)=5,a(2)=41} ogf] A155612 8.13127 [-(5-28*x+62*x^2-252*x^3+357*x^4)/(x-1)/(-1+3*x)/(7*x-1)/(17*x^2-6*x+1) lgdogf] A155612 8.94111 [-(17*x^2-6*x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A155613 5.07541 [(8771*f(x)-3667)*(24*f(x)*x^3-35*f(x)*x^2+12*f(x)*x+19*x^2-f(x)-6*x+1) ogf] A155613 5.29418 [{a(n+3)-12*a(n+2)+35*a(n+1)-24*a(n),a(0)=1,a(1)=6,a(2)=56} ogf] A155613 8.48087 [-2*(3-16*x+27*x^2-144*x^3+228*x^4)/(x-1)/(3*x-1)/(8*x-1)/(19*x^2-6*x+1) lgdogf] A155613 9.44808 [-(19*x^2-6*x+1)/(x-1)/(3*x-1)/(8*x-1) ogf] A155614 4.76018 [(1612*f(x)-643)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+21*x^2-f(x)-6*x+1) ogf] A155614 4.92432 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=1,a(1)=7,a(2)=73} ogf] A155614 7.99205 [-(7-36*x+42*x^2-324*x^3+567*x^4)/(x-1)/(-1+3*x)/(9*x-1)/(21*x^2-6*x+1) lgdogf] A155614 8.78802 [-(21*x^2-6*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A155615 4.76018 [(1053*f(x)-413)*(30*f(x)*x^3-43*f(x)*x^2+14*f(x)*x+23*x^2-f(x)-6*x+1) ogf] A155615 4.92432 [{a(n+3)-14*a(n+2)+43*a(n+1)-30*a(n),a(0)=1,a(1)=8,a(2)=92} ogf] A155615 7.66361 [-2*(4-20*x+13*x^2-180*x^3+345*x^4)/(x-1)/(-1+3*x)/(10*x-1)/(23*x^2-6*x+1) lgdogf] A155615 8.78802 [-(23*x^2-6*x+1)/(x-1)/(3*x-1)/(10*x-1) ogf] A155616 5.10022 [-(f(x)+39)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x-11*x^2-f(x)-2*x+1) ogf] A155616 5.27609 [{a(n+3)-10*a(n+2)+29*a(n+1)-20*a(n),a(0)=1,a(1)=8,a(2)=40} ogf] A155616 8.44594 [-4*(-2+20*x-57*x^2+20*x^3+55*x^4)/(x-1)/(5*x-1)/(-1+4*x)/(11*x^2+2*x-1) lgdogf] A155616 9.41578 [(11*x^2+2*x-1)/(x-1)/(4*x-1)/(5*x-1) ogf] A155617 5.22292 [{a(n+3)-11*a(n+2)+34*a(n+1)-24*a(n),a(0)=1,a(1)=9,a(2)=51} ogf] A155617 5.22293 [(f(x)-49)*(24*f(x)*x^3-34*f(x)*x^2+11*f(x)*x-14*x^2-f(x)-2*x+1) ogf] A155617 8.36171 [-3*(-3+32*x+112*x^4+32*x^3-98*x^2)/(x-1)/(6*x-1)/(4*x-1)/(14*x^2+2*x-1) lgdogf] A155617 9.32091 [(14*x^2+2*x-1)/(x-1)/(6*x-1)/(4*x-1) ogf] A155618 4.95057 [(51*f(x)-107)*(28*f(x)*x^3-39*f(x)*x^2+12*f(x)*x-17*x^2-f(x)-2*x+1) ogf] A155618 4.99288 [{a(n+3)-12*a(n+2)+39*a(n+1)-28*a(n),a(0)=1,a(1)=10,a(2)=64} ogf] A155618 7.83814 [-2*(-5+56*x-183*x^2+56*x^3+238*x^4)/(x-1)/(7*x-1)/(-1+4*x)/(17*x^2+2*x-1) lgdogf] A155618 8.98718 [(17*x^2+2*x-1)/(x-1)/(7*x-1)/(4*x-1) ogf] A155619 5.05837 [-(131*f(x)-27)*(32*f(x)*x^3-44*f(x)*x^2+13*f(x)*x-20*x^2-f(x)-2*x+1) ogf] A155619 5.27453 [{a(n+3)-13*a(n+2)+44*a(n+1)-32*a(n),a(0)=1,a(1)=11,a(2)=79} ogf] A155619 8.06850 [-(-11+128*x-444*x^2+128*x^3+640*x^4)/(x-1)/(-1+4*x)/(-1+8*x)/(20*x^2+2*x-1) lgdogf] A155619 9.49415 [(20*x^2+2*x-1)/(x-1)/(8*x-1)/(4*x-1) ogf] A155620 4.70628 [-(175*f(x)+41)*(36*f(x)*x^3-49*f(x)*x^2+14*f(x)*x-23*x^2-f(x)-2*x+1) ogf] A155620 4.90740 [{a(n+3)-14*a(n+2)+49*a(n+1)-36*a(n),a(0)=1,a(1)=12,a(2)=96} ogf] A155620 8.03411 [-12*(x+1)*(69*x^3-57*x^2+13*x-1)/(x-1)/(-1+4*x)/(9*x-1)/(23*x^2+2*x-1) lgdogf] A155620 8.83332 [(23*x^2+2*x-1)/(x-1)/(4*x-1)/(9*x-1) ogf] A155621 4.62459 [(2529*f(x)+991)*(40*f(x)*x^3-54*f(x)*x^2+15*f(x)*x-26*x^2-f(x)-2*x+1) ogf] A155621 4.70297 [{a(n+3)-15*a(n+2)+54*a(n+1)-40*a(n),a(0)=1,a(1)=13,a(2)=115} ogf] A155621 7.05701 [-(-13+160*x-618*x^2+160*x^3+1040*x^4)/(-1+x)/(-1+4*x)/(10*x-1)/(26*x^2+2*x-1) lgdogf] A155621 8.53771 [(26*x^2+2*x-1)/(x-1)/(4*x-1)/(10*x-1) ogf] A155622 4.58638 [(8050*f(x)-1989)*(22*f(x)*x^3-35*f(x)*x^2+14*f(x)*x+13*x^2-f(x)-4*x+1) ogf] A155622 4.70297 [{a(n+3)-14*a(n+2)+35*a(n+1)-22*a(n),a(0)=1,a(1)=10,a(2)=118} ogf] A155622 7.54708 [-2*(5-22*x+12*x^2-88*x^3+143*x^4)/(-1+x)/(2*x-1)/(11*x-1)/(13*x^2-4*x+1) lgdogf] A155622 8.53771 [-(13*x^2-4*x+1)/(x-1)/(2*x-1)/(11*x-1) ogf] A155623 4.54878 [(10916*f(x)+4759)*(33*f(x)*x^3-47*f(x)*x^2+15*f(x)*x-19*x^2-f(x)-2*x+1) ogf] A155623 4.70297 [{a(n+3)-15*a(n+2)+47*a(n+1)-33*a(n),a(0)=1,a(1)=13,a(2)=129} ogf] A155623 7.24519 [-(-13+132*x-478*x^2+132*x^3+627*x^4)/(-1+x)/(3*x-1)/(11*x-1)/(19*x^2+2*x-1) lgdogf] A155623 8.53771 [(19*x^2+2*x-1)/(x-1)/(3*x-1)/(11*x-1) ogf] A155624 4.4883 [(68225*f(x)-26689)*(33*f(x)*x^3-47*f(x)*x^2+15*f(x)*x+25*x^2-f(x)-6*x+1) ogf] A155624 4.71847 [{a(n+3)-15*a(n+2)+47*a(n+1)-33*a(n),a(0)=1,a(1)=9,a(2)=113} ogf] A155624 7.83332 [-(9-44*x+6*x^2-396*x^3+825*x^4)/(x-1)/(3*x-1)/(11*x-1)/(25*x^2-6*x+1) lgdogf] A155624 8.49325 [-(25*x^2-6*x+1)/(x-1)/(3*x-1)/(11*x-1) ogf] A155625 4.5118 [(31703*f(x)+14673)*(44*f(x)*x^3-59*f(x)*x^2+16*f(x)*x-29*x^2-f(x)-2*x+1) ogf] A155625 4.70297 [{a(n+3)-16*a(n+2)+59*a(n+1)-44*a(n),a(0)=1,a(1)=14,a(2)=136} ogf] A155625 7.24519 [-2*(-7+88*x-357*x^2+88*x^3+638*x^4)/(-1+x)/(-1+4*x)/(11*x-1)/(29*x^2+2*x-1) lgdogf] A155625 8.53771 [(29*x^2+2*x-1)/(x-1)/(4*x-1)/(11*x-1) ogf] A155626 5.09113 [-(8*f(x)-3)*(20*f(x)*x^3-29*f(x)*x^2+10*f(x)*x+19*x^2-f(x)-8*x+1) ogf] A155626 5.22279 [{-a(n+3)+10*a(n+2)-29*a(n+1)+20*a(n),a(0)=1,a(1)=2,a(2)=10} ogf] A155626 8.24277 [-2*(1-10*x+51*x^2-160*x^3+190*x^4)/(x-1)/(-1+4*x)/(5*x-1)/(19*x^2-8*x+1) lgdogf] A155626 9.32068 [-(19*x^2-8*x+1)/(x-1)/(4*x-1)/(5*x-1) ogf] A155627 4.98195 [-(25*f(x)-67)*(24*f(x)*x^3-34*f(x)*x^2+11*f(x)*x+22*x^2-f(x)-8*x+1) ogf] A155627 5.19668 [{a(n+3)-11*a(n+2)+34*a(n+1)-24*a(n),a(0)=1,a(1)=3,a(2)=21} ogf] A155627 8.31883 [-3*(1-8*x+34*x^2-128*x^3+176*x^4)/(x-1)/(6*x-1)/(-1+4*x)/(22*x^2-8*x+1) lgdogf] A155627 9.27408 [-(22*x^2-8*x+1)/(x-1)/(6*x-1)/(4*x-1) ogf] A155628 4.80307 [-(51*f(x)-37)*(28*f(x)*x^3-39*f(x)*x^2+12*f(x)*x+25*x^2-f(x)-8*x+1) ogf] A155628 5.01010 [{a(n+3)-12*a(n+2)+39*a(n+1)-28*a(n),a(0)=1,a(1)=4,a(2)=34} ogf] A155628 8.01674 [-4*(1-7*x+24*x^2-112*x^3+175*x^4)/(x-1)/(-1+4*x)/(7*x-1)/(25*x^2-8*x+1) lgdogf] A155628 8.94111 [-(25*x^2-8*x+1)/(x-1)/(7*x-1)/(4*x-1) ogf] A155629 5.07541 [(6419*f(x)-3663)*(32*f(x)*x^3-44*f(x)*x^2+13*f(x)*x+28*x^2-f(x)-8*x+1) ogf] A155629 5.29418 [{a(n+3)-13*a(n+2)+44*a(n+1)-32*a(n),a(0)=1,a(1)=5,a(2)=49} ogf] A155629 8.72669 [-(5-32*x+84*x^2-512*x^3+896*x^4)/(x-1)/(8*x-1)/(4*x-1)/(28*x^2-8*x+1) lgdogf] A155629 9.44808 [-(28*x^2-8*x+1)/(x-1)/(8*x-1)/(4*x-1) ogf] A155630 4.88223 [(56*f(x)-29)*(36*f(x)*x^3-49*f(x)*x^2+14*f(x)*x+31*x^2-f(x)-8*x+1) ogf] A155630 4.92432 [{a(n+3)-14*a(n+2)+49*a(n+1)-36*a(n),a(0)=1,a(1)=6,a(2)=66} ogf] A155630 7.99205 [-6*(1-6*x+11*x^2-96*x^3+186*x^4)/(x-1)/(-1+4*x)/(9*x-1)/(31*x^2-8*x+1) lgdogf] A155630 8.78802 [-(31*x^2-8*x+1)/(x-1)/(4*x-1)/(9*x-1) ogf] A155631 4.64407 [(22761*f(x)-11291)*(40*f(x)*x^3-54*f(x)*x^2+15*f(x)*x+34*x^2-f(x)-8*x+1) ogf] A155631 4.92432 [{a(n+3)-15*a(n+2)+54*a(n+1)-40*a(n),a(0)=1,a(1)=7,a(2)=85} ogf] A155631 7.77005 [-(7-40*x+42*x^2-640*x^3+1360*x^4)/(x-1)/(-1+4*x)/(10*x-1)/(34*x^2-8*x+1) lgdogf] A155631 8.78802 [-(34*x^2-8*x+1)/(x-1)/(4*x-1)/(10*x-1) ogf] A155632 4.52509 [(16175*f(x)-7881)*(44*f(x)*x^3-59*f(x)*x^2+16*f(x)*x+37*x^2-f(x)-8*x+1) ogf] A155632 4.71847 [{a(n+3)-16*a(n+2)+59*a(n+1)-44*a(n),a(0)=1,a(1)=8,a(2)=106} ogf] A155632 7.50693 [-4*(2-11*x+3*x^2-176*x^3+407*x^4)/(x-1)/(-1+4*x)/(11*x-1)/(37*x^2-8*x+1) lgdogf] A155632 8.49325 [-(37*x^2-8*x+1)/(x-1)/(4*x-1)/(11*x-1) ogf] A155633 4.71123 [{a(n+3)-12*a(n+2)+41*a(n+1)-30*a(n),a(0)=1,a(1)=10,a(2)=60} ogf] A155633 4.75185 [(f(x)+59)*(30*f(x)*x^3-41*f(x)*x^2+12*f(x)*x-19*x^2-f(x)-2*x+1) ogf] A155633 7.59481 [-10*(-1+12*x+12*x^3+57*x^4-40*x^2)/(x-1)/(6*x-1)/(5*x-1)/(19*x^2+2*x-1) lgdogf] A155633 8.48022 [(19*x^2+2*x-1)/(x-1)/(6*x-1)/(5*x-1) ogf] A155634 4.90897 [(17*f(x)-1977)*(35*f(x)*x^3-47*f(x)*x^2+13*f(x)*x-23*x^2-f(x)-2*x+1) ogf] A155634 4.99288 [{a(n+3)-13*a(n+2)+47*a(n+1)-35*a(n),a(0)=1,a(1)=11,a(2)=73} ogf] A155634 7.83814 [-(-11+140*x-498*x^2+140*x^3+805*x^4)/(x-1)/(7*x-1)/(5*x-1)/(23*x^2+2*x-1) lgdogf] A155634 8.98718 [(23*x^2+2*x-1)/(x-1)/(7*x-1)/(5*x-1) ogf] A155635 5.01724 [-(153*f(x)-553)*(40*f(x)*x^3-53*f(x)*x^2+14*f(x)*x-27*x^2-f(x)-2*x+1) ogf] A155635 5.27453 [{a(n+3)-14*a(n+2)+53*a(n+1)-40*a(n),a(0)=1,a(1)=12,a(2)=88} ogf] A155635 8.28955 [-4*(-3+40*x-151*x^2+40*x^3+270*x^4)/(x-1)/(-1+8*x)/(5*x-1)/(27*x^2+2*x-1) lgdogf] A155635 9.49415 [(27*x^2+2*x-1)/(x-1)/(8*x-1)/(5*x-1) ogf] A155636 4.69195 [-(701*f(x)-386)*(45*f(x)*x^3-59*f(x)*x^2+15*f(x)*x-31*x^2-f(x)-2*x+1) ogf] A155636 4.89076 [{a(n+3)-15*a(n+2)+59*a(n+1)-45*a(n),a(0)=1,a(1)=13,a(2)=105} ogf] A155636 7.63963 [-(-13+180*x-718*x^2+180*x^3+1395*x^4)/(x-1)/(9*x-1)/(5*x-1)/(31*x^2+2*x-1) lgdogf] A155636 8.87862 [(31*x^2+2*x-1)/(x-1)/(9*x-1)/(5*x-1) ogf] A155637 4.70297 [{a(n+3)-16*a(n+2)+65*a(n+1)-50*a(n),a(0)=1,a(1)=14,a(2)=124} ogf] A155637 4.78406 [(67*f(x)+9)*(50*f(x)*x^3-65*f(x)*x^2+16*f(x)*x-35*x^2-f(x)-2*x+1) ogf] A155637 7.05701 [-2*(-7+100*x-420*x^2+100*x^3+875*x^4)/(-1+x)/(5*x+1)/(7*x-1)/(5*x-1)/(10*x-1) lgdogf] A155637 8.53771 [(5*x+1)*(7*x-1)/(x-1)/(5*x-1)/(10*x-1) ogf] A155638 4.66346 [(801*f(x)+299)*(55*f(x)*x^3-71*f(x)*x^2+17*f(x)*x-39*x^2-f(x)-2*x+1) ogf] A155638 4.70297 [{a(n+3)-17*a(n+2)+71*a(n+1)-55*a(n),a(0)=1,a(1)=15,a(2)=145} ogf] A155638 7.34310 [-5*(-3+44*x-194*x^2+44*x^3+429*x^4)/(-1+x)/(5*x-1)/(11*x-1)/(39*x^2+2*x-1) lgdogf] A155638 8.53771 [(39*x^2+2*x-1)/(x-1)/(5*x-1)/(11*x-1) ogf] A155639 4.86624 [-(25*f(x)-13)*(30*f(x)*x^3-41*f(x)*x^2+12*f(x)*x+29*x^2-f(x)-10*x+1) ogf] A155639 5.11794 [{-a(n+3)+12*a(n+2)-41*a(n+1)+30*a(n),a(0)=1,a(1)=2,a(2)=12} ogf] A155639 8.07644 [-2*(1-12*x+76*x^2-300*x^3+435*x^4)/(x-1)/(6*x-1)/(5*x-1)/(29*x^2-10*x+1) lgdogf] A155639 8.99517 [-(29*x^2-10*x+1)/(x-1)/(6*x-1)/(5*x-1) ogf] A155640 5.01010 [{a(n+3)-13*a(n+2)+47*a(n+1)-35*a(n),a(0)=1,a(1)=3,a(2)=25} ogf] A155640 5.95026 [(153*f(x)-517)*(35*f(x)*x^3-47*f(x)*x^2+13*f(x)*x+33*x^2-f(x)-10*x+1) ogf] A155640 7.90540 [-(3-28*x+146*x^2-700*x^3+1155*x^4)/(x-1)/(7*x-1)/(5*x-1)/(33*x^2-10*x+1) lgdogf] A155640 8.80564 [-(33*x^2-10*x+1)/(x-1)/(7*x-1)/(5*x-1) ogf] A155641 4.95262 [-(833*f(x)-657)*(40*f(x)*x^3-53*f(x)*x^2+14*f(x)*x+37*x^2-f(x)-10*x+1) ogf] A155641 5.29418 [{a(n+3)-14*a(n+2)+53*a(n+1)-40*a(n),a(0)=1,a(1)=4,a(2)=40} ogf] A155641 8.48087 [-4*(1-8*x+33*x^2-200*x^3+370*x^4)/(x-1)/(8*x-1)/(5*x-1)/(37*x^2-10*x+1) lgdogf] A155641 9.30492 [-(37*x^2-10*x+1)/(x-1)/(8*x-1)/(5*x-1) ogf] A155642 4.76018 [(701*f(x)-449)*(45*f(x)*x^3-59*f(x)*x^2+15*f(x)*x+41*x^2-f(x)-10*x+1) ogf] A155642 4.92432 [{a(n+3)-15*a(n+2)+59*a(n+1)-45*a(n),a(0)=1,a(1)=5,a(2)=57} ogf] A155642 7.77005 [-(5-36*x+110*x^2-900*x^3+1845*x^4)/(x-1)/(9*x-1)/(5*x-1)/(41*x^2-10*x+1) lgdogf] A155642 8.65486 [-(41*x^2-10*x+1)/(x-1)/(9*x-1)/(5*x-1) ogf] A155643 4.68214 [(5427*f(x)-3191)*(50*f(x)*x^3-65*f(x)*x^2+16*f(x)*x+45*x^2-f(x)-10*x+1) ogf] A155643 4.92432 [{a(n+3)-16*a(n+2)+65*a(n+1)-50*a(n),a(0)=1,a(1)=6,a(2)=76} ogf] A155643 7.56005 [-2*(3-20*x+40*x^2-500*x^3+1125*x^4)/(x-1)/(5*x-1)/(10*x-1)/(45*x^2-10*x+1) lgdogf] A155643 8.65486 [-(45*x^2-10*x+1)/(x-1)/(5*x-1)/(10*x-1) ogf] A155644 4.5014 [(2225*f(x)-1257)*(55*f(x)*x^3-71*f(x)*x^2+17*f(x)*x+49*x^2-f(x)-10*x+1) ogf] A155644 4.73422 [{a(n+3)-17*a(n+2)+71*a(n+1)-55*a(n),a(0)=1,a(1)=7,a(2)=97} ogf] A155644 7.36450 [-(7-44*x+42*x^2-1100*x^3+2695*x^4)/(x-1)/(5*x-1)/(11*x-1)/(49*x^2-10*x+1) lgdogf] A155644 8.32076 [-(49*x^2-10*x+1)/(x-1)/(5*x-1)/(11*x-1) ogf] A155645 4.91799 [-(f(x)+83)*(42*f(x)*x^3-55*f(x)*x^2+14*f(x)*x-29*x^2-f(x)-2*x+1) ogf] A155645 5.04409 [{a(n+3)-14*a(n+2)+55*a(n+1)-42*a(n),a(0)=1,a(1)=12,a(2)=84} ogf] A155645 8.03022 [-6*(-2+28*x-107*x^2+28*x^3+203*x^4)/(x-1)/(6*x-1)/(7*x-1)/(29*x^2+2*x-1) lgdogf] A155645 9.07937 [(29*x^2+2*x-1)/(x-1)/(6*x-1)/(7*x-1) ogf] A155646 5.22984 [(7*f(x)-1927)*(48*f(x)*x^3-62*f(x)*x^2+15*f(x)*x-34*x^2-f(x)-2*x+1) ogf] A155646 5.27453 [{a(n+3)-15*a(n+2)+62*a(n+1)-48*a(n),a(0)=1,a(1)=13,a(2)=99} ogf] A155646 8.06850 [-(-13+192*x-778*x^2+192*x^3+1632*x^4)/(x-1)/(6*x-1)/(-1+8*x)/(34*x^2+2*x-1) lgdogf] A155646 9.49415 [(34*x^2+2*x-1)/(x-1)/(6*x-1)/(8*x-1) ogf] A155647 4.89076 [(29*f(x)-161)*(54*f(x)*x^3-69*f(x)*x^2+16*f(x)*x-39*x^2-f(x)-2*x+1) ogf] A155647 4.89076 [{a(n+3)-16*a(n+2)+69*a(n+1)-54*a(n),a(0)=1,a(1)=14,a(2)=116} ogf] A155647 7.53777 [-2*(-7+108*x-462*x^2+108*x^3+1053*x^4)/(x-1)/(6*x-1)/(9*x-1)/(39*x^2+2*x-1) lgdogf] A155647 8.87862 [(39*x^2+2*x-1)/(x-1)/(6*x-1)/(9*x-1) ogf] A155648 4.66346 [-(f(x)-1)*(60*f(x)*x^3-76*f(x)*x^2+17*f(x)*x-44*x^2-f(x)-2*x+1) ogf] A155648 4.70297 [{a(n+3)-17*a(n+2)+76*a(n+1)-60*a(n),a(0)=1,a(1)=15,a(2)=135} ogf] A155648 7.34310 [-15*(-1+16*x-72*x^2+16*x^3+176*x^4)/(-1+x)/(6*x-1)/(10*x-1)/(44*x^2+2*x-1) lgdogf] A155648 8.53771 [(44*x^2+2*x-1)/(x-1)/(6*x-1)/(10*x-1) ogf] A155649 4.58638 [-(535*f(x)-7)*(66*f(x)*x^3-83*f(x)*x^2+18*f(x)*x-49*x^2-f(x)-2*x+1) ogf] A155649 4.70297 [{a(n+3)-18*a(n+2)+83*a(n+1)-66*a(n),a(0)=1,a(1)=16,a(2)=156} ogf] A155649 7.05701 [-2*(-8+132*x-623*x^2+132*x^3+1617*x^4)/(-1+x)/(6*x-1)/(11*x-1)/(49*x^2+2*x-1) lgdogf] A155649 8.53771 [(49*x^2+2*x-1)/(x-1)/(6*x-1)/(11*x-1) ogf] A155650 4.7146 [-(18*f(x)-11)*(42*f(x)*x^3-55*f(x)*x^2+14*f(x)*x+41*x^2-f(x)-12*x+1) ogf] A155650 4.95845 [{-a(n+3)+14*a(n+2)-55*a(n+1)+42*a(n),a(0)=1,a(1)=2,a(2)=14} ogf] A155650 7.61077 [-2*(1-14*x+106*x^2-504*x^3+861*x^4)/(-1+x)/(6*x-1)/(7*x-1)/(41*x^2-12*x+1) lgdogf] A155650 8.71485 [-(41*x^2-12*x+1)/(x-1)/(6*x-1)/(7*x-1) ogf] A155651 4.913 [-(343*f(x)-1583)*(48*f(x)*x^3-62*f(x)*x^2+15*f(x)*x+46*x^2-f(x)-12*x+1) ogf] A155651 5.29418 [{a(n+3)-15*a(n+2)+62*a(n+1)-48*a(n),a(0)=1,a(1)=3,a(2)=29} ogf] A155651 8.24852 [-(3-32*x+198*x^2-1152*x^3+2208*x^4)/(x-1)/(6*x-1)/(8*x-1)/(46*x^2-12*x+1) lgdogf] A155651 9.30492 [-(46*x^2-12*x+1)/(x-1)/(6*x-1)/(8*x-1) ogf] A155652 4.60662 [-(232*f(x)-193)*(54*f(x)*x^3-69*f(x)*x^2+16*f(x)*x+51*x^2-f(x)-12*x+1) ogf] A155652 4.92432 [{a(n+3)-16*a(n+2)+69*a(n+1)-54*a(n),a(0)=1,a(1)=4,a(2)=46} ogf] A155652 7.66361 [-2*(2-18*x+87*x^2-648*x^3+1377*x^4)/(x-1)/(6*x-1)/(9*x-1)/(51*x^2-12*x+1) lgdogf] A155652 8.65486 [-(51*x^2-12*x+1)/(x-1)/(6*x-1)/(9*x-1) ogf] A155653 4.84086 [(81*f(x)-56)*(60*f(x)*x^3-76*f(x)*x^2+17*f(x)*x+56*x^2-f(x)-12*x+1) ogf] A155653 4.92432 [{a(n+3)-17*a(n+2)+76*a(n+1)-60*a(n),a(0)=1,a(1)=5,a(2)=65} ogf] A155653 7.77005 [-5*(1-8*x+28*x^2-288*x^3+672*x^4)/(x-1)/(6*x-1)/(10*x-1)/(56*x^2-12*x+1) lgdogf] A155653 8.65486 [-(56*x^2-12*x+1)/(x-1)/(6*x-1)/(10*x-1) ogf] A155654 4.57642 [(214*f(x)-137)*(66*f(x)*x^3-83*f(x)*x^2+18*f(x)*x+61*x^2-f(x)-12*x+1) ogf] A155654 4.73422 [{a(n+3)-18*a(n+2)+83*a(n+1)-66*a(n),a(0)=1,a(1)=6,a(2)=86} ogf] A155654 7.26498 [-2*(3-22*x+48*x^2-792*x^3+2013*x^4)/(x-1)/(6*x-1)/(11*x-1)/(61*x^2-12*x+1) lgdogf] A155654 8.32076 [-(61*x^2-12*x+1)/(x-1)/(6*x-1)/(11*x-1) ogf] A155655 5.14969 [-(f(x)+111)*(56*f(x)*x^3-71*f(x)*x^2+16*f(x)*x-41*x^2-f(x)-2*x+1) ogf] A155655 5.28061 [{a(n+3)-16*a(n+2)+71*a(n+1)-56*a(n),a(0)=1,a(1)=14,a(2)=112} ogf] A155655 8.48790 [-14*(-1+16*x-69*x^2+16*x^3+164*x^4)/(x-1)/(8*x-1)/(7*x-1)/(41*x^2+2*x-1) lgdogf] A155655 9.58634 [(41*x^2+2*x-1)/(x-1)/(8*x-1)/(7*x-1) ogf] A155656 4.91572 [{a(n+3)-17*a(n+2)+79*a(n+1)-63*a(n),a(0)=1,a(1)=15,a(2)=129} ogf] A155656 4.95773 [(f(x)-757)*(63*f(x)*x^3-79*f(x)*x^2+17*f(x)*x-47*x^2-f(x)-2*x+1) ogf] A155656 7.89274 [-3*(-5+84*x-382*x^2+84*x^3+987*x^4)/(x-1)/(7*x-1)/(9*x-1)/(47*x^2+2*x-1) lgdogf] A155656 8.92392 [(47*x^2+2*x-1)/(x-1)/(7*x-1)/(9*x-1) ogf] A155657 4.54878 [-(81*f(x)-641)*(70*f(x)*x^3-87*f(x)*x^2+18*f(x)*x-53*x^2-f(x)-2*x+1) ogf] A155657 4.70297 [{a(n+3)-18*a(n+2)+87*a(n+1)-70*a(n),a(0)=1,a(1)=16,a(2)=148} ogf] A155657 7.05701 [-2*(-8+140*x-669*x^2+140*x^3+1855*x^4)/(-1+x)/(7*x-1)/(10*x-1)/(53*x^2+2*x-1) lgdogf] A155657 8.53771 [(53*x^2+2*x-1)/(x-1)/(7*x-1)/(10*x-1) ogf] A155658 4.58638 [(1121*f(x)-1737)*(77*f(x)*x^3-95*f(x)*x^2+19*f(x)*x-59*x^2-f(x)-2*x+1) ogf] A155658 4.70297 [{a(n+3)-19*a(n+2)+95*a(n+1)-77*a(n),a(0)=1,a(1)=17,a(2)=169} ogf] A155658 7.05701 [-(-17+308*x-1542*x^2+308*x^3+4543*x^4)/(-1+x)/(7*x-1)/(11*x-1)/(59*x^2+2*x-1) lgdogf] A155658 8.53771 [(59*x^2+2*x-1)/(x-1)/(7*x-1)/(11*x-1) ogf] A155659 4.9847 [-(49*f(x)-33)*(56*f(x)*x^3-71*f(x)*x^2+16*f(x)*x+55*x^2-f(x)-14*x+1) ogf] A155659 5.24253 [{-a(n+3)+16*a(n+2)-71*a(n+1)+56*a(n),a(0)=1,a(1)=2,a(2)=16} ogf] A155659 8.05608 [-2*(1-16*x+141*x^2-784*x^3+1540*x^4)/(x-1)/(8*x-1)/(7*x-1)/(55*x^2-14*x+1) lgdogf] A155659 9.21414 [-(55*x^2-14*x+1)/(x-1)/(8*x-1)/(7*x-1) ogf] A155660 4.72084 [-(4*f(x)-31)*(63*f(x)*x^3-79*f(x)*x^2+17*f(x)*x+61*x^2-f(x)-14*x+1) ogf] A155660 4.92432 [{a(n+3)-17*a(n+2)+79*a(n+1)-63*a(n),a(0)=1,a(1)=3,a(2)=33} ogf] A155660 7.66361 [-3*(1-12*x+86*x^2-588*x^3+1281*x^4)/(x-1)/(7*x-1)/(9*x-1)/(61*x^2-14*x+1) lgdogf] A155660 8.65486 [-(61*x^2-14*x+1)/(x-1)/(7*x-1)/(9*x-1) ogf] A155661 4.60662 [-(729*f(x)-629)*(70*f(x)*x^3-87*f(x)*x^2+18*f(x)*x+67*x^2-f(x)-14*x+1) ogf] A155661 4.92432 [{a(n+3)-18*a(n+2)+87*a(n+1)-70*a(n),a(0)=1,a(1)=4,a(2)=52} ogf] A155661 7.45925 [-2*(2-20*x+111*x^2-980*x^3+2345*x^4)/(x-1)/(7*x-1)/(10*x-1)/(67*x^2-14*x+1) lgdogf] A155661 8.65486 [-(67*x^2-14*x+1)/(x-1)/(7*x-1)/(10*x-1) ogf] A155662 4.70931 [{a(n+3)-19*a(n+2)+95*a(n+1)-77*a(n),a(0)=1,a(1)=5,a(2)=73} ogf] A155662 5.5566 [(28025*f(x)-20457)*(77*f(x)*x^3-95*f(x)*x^2+19*f(x)*x+73*x^2-f(x)-14*x+1) ogf] A155662 7.22593 [-(5-44*x+174*x^2-2156*x^3+5621*x^4)/(x-1)/(7*x-1)/(11*x-1)/(73*x^2-14*x+1) lgdogf] A155662 8.27697 [-(73*x^2-14*x+1)/(x-1)/(7*x-1)/(11*x-1) ogf] A155663 4.81817 [-(f(x)+143)*(72*f(x)*x^3-89*f(x)*x^2+18*f(x)*x-55*x^2-f(x)-2*x+1) ogf] A155663 4.94067 [{a(n+3)-18*a(n+2)+89*a(n+1)-72*a(n),a(0)=1,a(1)=16,a(2)=144} ogf] A155663 7.82495 [-8*(-2+36*x-173*x^2+36*x^3+495*x^4)/(x-1)/(9*x-1)/(-1+8*x)/(55*x^2+2*x-1) lgdogf] A155663 8.96922 [(55*x^2+2*x-1)/(x-1)/(8*x-1)/(9*x-1) ogf] A155664 4.70297 [{a(n+3)-19*a(n+2)+98*a(n+1)-80*a(n),a(0)=1,a(1)=17,a(2)=163} ogf] A155664 4.70298 [(f(x)-5601)*(80*f(x)*x^3-98*f(x)*x^2+19*f(x)*x-62*x^2-f(x)-2*x+1) ogf] A155664 7.05701 [-(-17+320*x-1614*x^2+320*x^3+4960*x^4)/(-1+x)/(8*x-1)/(10*x-1)/(62*x^2+2*x-1) lgdogf] A155664 8.53771 [(62*x^2+2*x-1)/(x-1)/(8*x-1)/(10*x-1) ogf] A155665 4.5118 [(1179*f(x)-12619)*(88*f(x)*x^3-107*f(x)*x^2+20*f(x)*x-69*x^2-f(x)-2*x+1) ogf] A155665 4.66345 [{a(n+3)-20*a(n+2)+107*a(n+1)-88*a(n),a(0)=1,a(1)=18,a(2)=184} ogf] A155665 7.05701 [-2*(-9+176*x-929*x^2+176*x^3+3036*x^4)/(-1+x)/(11*x-1)/(8*x-1)/(69*x^2+2*x-1) lgdogf] A155665 8.40835 [(69*x^2+2*x-1)/(x-1)/(11*x-1)/(8*x-1) ogf] A155666 4.68214 [-(32*f(x)-23)*(72*f(x)*x^3-89*f(x)*x^2+18*f(x)*x+71*x^2-f(x)-16*x+1) ogf] A155666 4.92432 [{a(n+3)-18*a(n+2)+89*a(n+1)-72*a(n),a(0)=1,a(1)=2,a(2)=18} ogf] A155666 7.45925 [-2*(1-18*x+181*x^2-1152*x^3+2556*x^4)/(x-1)/(8*x-1)/(9*x-1)/(71*x^2-16*x+1) lgdogf] A155666 8.65486 [-(71*x^2-16*x+1)/(x-1)/(8*x-1)/(9*x-1) ogf] A155667 4.76018 [(81*f(x)-2951)*(80*f(x)*x^3-98*f(x)*x^2+19*f(x)*x+78*x^2-f(x)-16*x+1) ogf] A155667 4.92432 [{a(n+3)-19*a(n+2)+98*a(n+1)-80*a(n),a(0)=1,a(1)=3,a(2)=37} ogf] A155667 7.56005 [-(3-40*x+326*x^2-2560*x^3+6240*x^4)/(x-1)/(8*x-1)/(10*x-1)/(78*x^2-16*x+1) lgdogf] A155667 8.65486 [-(78*x^2-16*x+1)/(x-1)/(8*x-1)/(10*x-1) ogf] A155668 4.30142 [-(3275*f(x)-2901)*(88*f(x)*x^3-107*f(x)*x^2+20*f(x)*x+85*x^2-f(x)-16*x+1) ogf] A155668 4.66906 [{a(n+3)-20*a(n+2)+107*a(n+1)-88*a(n),a(0)=1,a(1)=4,a(2)=58} ogf] A155668 7.22593 [-4*(1-11*x+69*x^2-704*x^3+1870*x^4)/(x-1)/(11*x-1)/(8*x-1)/(85*x^2-16*x+1) lgdogf] A155668 8.15343 [-(85*x^2-16*x+1)/(x-1)/(11*x-1)/(8*x-1) ogf] A155669 4.66345 [{a(n+3)-20*a(n+2)+109*a(n+1)-90*a(n),a(0)=1,a(1)=18,a(2)=180} ogf] A155669 4.70298 [(f(x)+179)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x-71*x^2-f(x)-2*x+1) ogf] A155669 7.24519 [-18*(-1+20*x-106*x^2+20*x^3+355*x^4)/(-1+x)/(9*x-1)/(10*x-1)/(71*x^2+2*x-1) lgdogf] A155669 8.40835 [(71*x^2+2*x-1)/(x-1)/(9*x-1)/(10*x-1) ogf] A155670 4.47541 [-(7*f(x)+17417)*(99*f(x)*x^3-119*f(x)*x^2+21*f(x)*x-79*x^2-f(x)-2*x+1) ogf] A155670 4.66345 [{a(n+3)-21*a(n+2)+119*a(n+1)-99*a(n),a(0)=1,a(1)=19,a(2)=201} ogf] A155670 7.05701 [-(-19+396*x-2194*x^2+396*x^3+7821*x^4)/(-1+x)/(9*x-1)/(11*x-1)/(79*x^2+2*x-1) lgdogf] A155670 8.40835 [(79*x^2+2*x-1)/(x-1)/(9*x-1)/(11*x-1) ogf] A155671 4.64407 [-(81*f(x)-61)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x+89*x^2-f(x)-18*x+1) ogf] A155671 4.88223 [{a(n+3)-20*a(n+2)+109*a(n+1)-90*a(n),a(0)=1,a(1)=2,a(2)=20} ogf] A155671 7.36110 [-2*(1-20*x+226*x^2-1620*x^3+4005*x^4)/(x-1)/(9*x-1)/(10*x-1)/(89*x^2-18*x+1) lgdogf] A155671 8.52569 [-(89*x^2-18*x+1)/(x-1)/(9*x-1)/(10*x-1) ogf] A155672 4.31262 [-(175*f(x)+1849)*(99*f(x)*x^3-119*f(x)*x^2+21*f(x)*x+97*x^2-f(x)-18*x+1) ogf] A155672 4.64436 [{a(n+3)-21*a(n+2)+119*a(n+1)-99*a(n),a(0)=1,a(1)=3,a(2)=41} ogf] A155672 8.11030 [-(97*x^2-18*x+1)/(x-1)/(9*x-1)/(11*x-1) ogf] A155673 4.5118 [-(f(x)+219)*(110*f(x)*x^3-131*f(x)*x^2+22*f(x)*x-89*x^2-f(x)-2*x+1) ogf] A155673 4.62459 [{a(n+3)-22*a(n+2)+131*a(n+1)-110*a(n),a(0)=1,a(1)=20,a(2)=220} ogf] A155673 7.14986 [-10*(-2+44*x-255*x^2+44*x^3+979*x^4)/(-1+x)/(10*x-1)/(11*x-1)/(89*x^2+2*x-1) lgdogf] A155673 8.28285 [(89*x^2+2*x-1)/(x-1)/(10*x-1)/(11*x-1) ogf] A155674 4.27775 [-(50*f(x)-39)*(110*f(x)*x^3-131*f(x)*x^2+22*f(x)*x+109*x^2-f(x)-20*x+1) ogf] A155674 4.53151 [{a(n+3)-22*a(n+2)+131*a(n+1)-110*a(n),a(0)=1,a(1)=2,a(2)=22} ogf] A155674 6.62224 [-2*(1-22*x-2200*x^3+5995*x^4+276*x^2)/(x-1)/(-1+10*x)/(11*x-1)/(109*x^2-20*x+1) lgdogf] A155674 7.74954 [-(109*x^2-20*x+1)/(x-1)/(10*x-1)/(11*x-1) ogf] A155701 10.6242 [-(-44*x^2+24*x-4)/(-44*x^3+67*x^2-26*x+3) lgdogf] A155701 11.4542 [-4*f(x)*x^2+5*f(x)*x-f(x)-11*x+3 ogf] A155701 15.9363 [-(-3+11*x)/(4*x-1)/(x-1) ogf] A155701 16.7451 [-1/2*(-3-5*x+(9-14*x+9*x^2)^(1/2))/(4*x+11) revogf] A155701 17.5620 [-4*(1-6*x+11*x^2)/(x-1)/(11*x-3)/(-1+4*x) lgdogf] A155701 8.93990 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=3,a(1)=4} ogf] A155721 13.3911 [-(8*x-5)/(4*x^2-5*x+1) lgdogf] A155721 15.3715 [-1/8*(-4-5*x+(4+x)^(1/2)*(9*x+4)^(1/2))/x revogf] A155721 19.4780 [4/(4*x-1)/(x-1) ogf] A155721 27.4015 [-(-5+8*x)/(4*x-1)/(x-1) lgdogf] A155721 7.47414 [(341*f(x)+1136)*(4*f(x)*x^2-5*f(x)*x+f(x)-4) ogf] A155721 7.74428 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=4,a(1)=20} ogf] A155734 15.7724 [-3*f(x)*x+f(x)+8*x-3 ogf] A155734 18.6779 [-1/(-24*x^2+17*x-3) lgdogf] A155734 18.8224 [3/16+3/16*x-1/16*(9-14*x+9*x^2)^(1/2) revogf] A155734 19.1827 [(-3+8*x)/(3*x-1) ogf] A155734 40.9665 [1/(3*x-1)/(8*x-3) lgdogf] A155734 9.85776 [{a(n+2)-3*a(n+1),a(0)=3,a(1)=1} ogf] A155751 8.02552 [(5*x^7-8*x^6+6*x^5+4*x^4-3*x^3-2*x^2-7*x+1)/(x^8+1) ogf] A155753 15.1703 [-(-5+3*x-9*x^2+3*x^3)/(x-1)/(3*x^3-9*x^2+7*x-3) lgdogf] A155753 3.87160 [{(27*n^2+171*n+234)*a(n+1)+(-50*n^2-256*n-282)*a(n+2)+(23*n^2+97*n+84)*a(n+3),a(0)=3,a(1)=5,a(2)=11} ogf] A155753 5.16213 [(118*f(x)+627)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-9*x^2+f(x)+7*x-3) ogf] A155753 8.76940 [-(-3*x^3+9*x^2-3*x+5)/(-3*x^4+12*x^3-16*x^2+10*x-3) lgdogf] A155753 9.45273 [-(3*x^3-9*x^2+7*x-3)/(x-1)^4 ogf] A155754 6.48113 [-(2*x^8+4*x^7+8*x^6-3*x^5-6*x^4+7*x^3-5*x^2+9*x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A155757 14.2601 [-(-7+9*x-15*x^2+5*x^3)/(x-1)/(5*x^3-15*x^2+13*x-5) lgdogf] A155757 3.83084 [{(45*n^2+285*n+390)*a(n+1)+(-86*n^2-448*n-510)*a(n+2)+(41*n^2+175*n+156)*a(n+3),a(0)=5,a(1)=7,a(2)=13} ogf] A155757 5.05458 [(122*f(x)+1019)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-15*x^2+f(x)+13*x-5) ogf] A155757 8.66500 [-(-5*x^3+15*x^2-9*x+7)/(-5*x^4+20*x^3-28*x^2+18*x-5) lgdogf] A155757 9.21342 [-(5*x^3-15*x^2+13*x-5)/(x-1)^4 ogf] A155769 10.8648 [-(41*x^2-90*x+37)/(41*x^3-127*x^2+127*x-41) lgdogf] A155769 12.3927 [(41*x^2-86*x+41)/(x-1)^3 ogf] A155769 19.9245 [-(37-90*x+41*x^2)/(x-1)/(41*x^2-86*x+41) lgdogf] A155769 6.72144 [(61*f(x)-4230)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-41*x^2-f(x)+86*x-41) ogf] A155769 6.89679 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-41,a(1)=-37,a(2)=-29} ogf] A155785 6.97607 [-(3601*x^9-3581*x^8-10*x^7-10*x^6+10*x^4+261*x^3-260*x^2-20*x-1)/(x-1)^2 ogf] A155803 11.3829 [-(8*x^3-3*x^2-2)/(2*x^4-x^3-2*x+1) lgdogf] A155803 18.7916 [-(-2+8*x^3-3*x^2)/(x-1)/(2*x-1)/(x^2+x+1) lgdogf] A155803 18.8790 [x^3/(2*x-1)/(x-1)/(x^2+x+1) ogf] A155803 9.55605 [2*f(x)*x^4-f(x)*x^3-x^3-2*f(x)*x+f(x) ogf] A155822 8.40987 [-(1+x^8+8*x^6+8*x^2-6*x^3+18*x^4-6*x^5)/(x+1)/(x^2-x+1)/(2*x^5-x^4+2*x^3-x^2+x-1)/(x^2+1) lgdogf] A155822 8.57892 [-(x+1)*(x^2+1)*(x^2-x+1)/(2*x^5-x^4+2*x^3-x^2+x-1) ogf] A155857 3.35885 [{a(n+1)+(n+1)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=23} ogf] A155859 10.7385 [-(5*x^2-10*x+4)/(10*x-1)/(x-1)^2 ogf] A155859 11.8280 [-2*(-19+60*x-75*x^2+25*x^3)/(-1+x)/(10*x-1)/(4-10*x+5*x^2) lgdogf] A155859 5.32829 [-(6086821*f(x)+3750995)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+5*x^2-f(x)-10*x+4) ogf] A155859 5.91530 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=4,a(1)=38,a(2)=377} ogf] A155859 7.58701 [-(-50*x^3+150*x^2-120*x+38)/(-50*x^4+155*x^3-155*x^2+54*x-4) lgdogf] A155862 10.8813 [-1/2*(-1-13*x+3*(1+2*x+17*x^2)^(1/2))*x/(1+x)/(-1+2*x) revogf] A155862 7.07943 [1/2*(13-82*x+37*x^2-4*x^3+3*((x^2+1-6*x)*(x+1)^2)^(1/2))/(x^2+1-6*x)/(2*x^2-13*x+2) lgdogf] A155862 9.58665 [2*f(x)^2*x^2-13*f(x)^2*x+2*f(x)^2+f(x)*x-f(x)-1 ogf] A155867 10.8569 [-1/2*(-1-3*x+x^2+(1+2*x+7*x^2-2*x^3+x^4)^(1/2))/(1+x) revogf] A155867 5.93528 [f(x)^2*x^2-f(x)^2*x+f(x)*x^2-3*f(x)*x+f(x)+x-1 ogf] A155867 6.12075 [-1/2*(x^2+(x^4-2*x^3+7*x^2+2*x+1)^(1/2)-3*x-1)/(x+1) revogf] A155872 11.3255 [-(21*x-2)/(11*x-1)/(10*x-1) ogf] A155872 11.5615 [-(21-440*x+2310*x^2)/(21*x-2)/(10*x-1)/(11*x-1) lgdogf] A155872 5.84159 [-(f(x)+439)*(110*f(x)*x^2-21*f(x)*x+f(x)+21*x-2) ogf] A155872 6.45292 [{a(n+2)-21*a(n+1)+110*a(n),a(0)=2,a(1)=21} ogf] A155872 7.24519 [8*x*(3*x^2+16)*(16+x^2)/(4096+21504*x+96*x^4+1280*x^2+5376*x^3+x^6+252*x^5) revogf] A155872 7.30199 [-(-2310*x^2+440*x-21)/(-2310*x^3+661*x^2-63*x+2) lgdogf] A155883 10.3757 [(7*x^3+47*x^2+29*x+1)/(x-1)^4 ogf] A155883 3.95980 [{(-2113*n^2-8591*n-8730)*a(n+1)+(3722*n^2+15676*n+34680)*a(n+2)+(-1609*n^2-8597*n-11310)*a(n+3),a(0)=1,a(1)=33,a(2)=173} ogf] A155883 5.28825 [(54414549*f(x)+1429761065)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-47*x^2+f(x)-29*x-1) ogf] A155883 9.31453 [-(7*x^3+115*x^2+181*x+33)/(7*x^4+40*x^3-18*x^2-28*x-1) lgdogf] A155888 4.7691 [(f(x)+4)*(f(x)*x^4-8*f(x)*x^3+14*f(x)*x^2+3*x^3-7*f(x)*x-9*x^2+f(x)+6*x-1) ogf] A155888 7.33073 [-(1-10*x+3*x^6+36*x^2-58*x^3+48*x^4-18*x^5)/(3*x^3-9*x^2+6*x-1)/(x^4-8*x^3+14*x^2-7*x+1) lgdogf] A155888 8.43764 [-(3*x^3-9*x^2+6*x-1)/(x^4-8*x^3+14*x^2-7*x+1) ogf] A155923 5.53973 [-(17+50*x-78*x^5+85*x^4+136*x^3+17*x^6+56*x^7+75*x^8+13*x^10+159*x^2+34*x^9)/(x-1)/(13*x^4+30*x^3+55*x^2+30*x+13)/(x^6-6*x^3+1) lgdogf] A155923 8.24607 [-(x-1)*(13*x^4+30*x^3+55*x^2+30*x+13)/(x^6-6*x^3+1) ogf] A155944 10.7007 [-(-12*x^3+15*x^2-4*x-1)/(-6*x^4+7*x^3+4*x^2-7*x+2) lgdogf] A155944 15.3939 [-x*(3*x-2)/(x-1)/(2*x-1)/(x+1) ogf] A155944 17.3324 [-(1+4*x-15*x^2+12*x^3)/(x-1)/(2*x-1)/(3*x-2)/(x+1) lgdogf] A155944 7.90499 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A155944 8.2005 [(f(x)+4)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+3*x^2+f(x)-2*x) ogf] A155965 10.6320 [x*(5*x^2-4*x+5)/(x-1)^4 ogf] A155965 11.7596 [-(-10*x^2+2*x-16)/(-5*x^3+9*x^2-9*x+5) lgdogf] A155965 22.4999 [-2*(8-x+5*x^2)/(x-1)/(5*x^2-4*x+5) lgdogf] A155965 3.86137 [{(15+5*n)*a(n+4)+(-34-9*n)*a(n+3)+(11+9*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=5,a(2)=16,a(3)=39} ogf] A155965 5.50451 [-(420*f(x)+323)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x+4*x^2+f(x)-5*x) ogf] A155966 11.7180 [-(-5*x^2+4*x-5)/(-5*x^3+12*x^2-11*x+4) lgdogf] A155966 12.2760 [-2*(5*x^2-7*x+4)/(x-1)^3 ogf] A155966 20.7251 [-2*(4-3*x+2*x^2)/(x-1)/(4*x^2-7*x+5) lgdogf] A155966 6.78408 [(2*f(x)-25)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-14*x+8) ogf] A155966 6.78408 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=10,a(2)=16} ogf] A155977 10.8514 [-2*(10+65*x+81*x^2+23*x^3+x^4)/(x-1)/(x^4+14*x^3+30*x^2+14*x+1) lgdogf] A155977 6.25086 [2*x*(x^4+14*x^3+30*x^2+14*x+1)/(x-1)^6 ogf] A155980 8.13368 [(41*f(x)-68)*(2*f(x)*x^2+x^3+f(x)*x-4*x^2-f(x)+2*x) ogf] A155988 11.8075 [-(81*x+27)/(81*x^2-1) lgdogf] A155988 11.8075 [(9*x+1)/(9*x-1)^2 ogf] A155988 13.9331 [-1/18*(-18*x-1+(72*x+1)^(1/2))/(-1+9*x) revogf] A155988 20.1255 [-27*(1+3*x)/(9*x-1)/(9*x+1) lgdogf] A155988 6.23541 [(16*f(x)+65)*(81*f(x)*x^2-18*f(x)*x+f(x)-9*x-1) ogf] A155988 6.52884 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=1,a(1)=27} ogf] A156001 4.87863 [-x^2*(126*x^6+297*x^5+167*x^4-400*x^3-410*x^2-113*x-3)/(x+1)^3/(x-1)^6 ogf] A156002 7.32940 [-x*(3*x^2-2*x+1)/(7*x-1)/(x^2+x+1)/(x-1)^2 ogf] A156002 7.89930 [-(-6+2*x+9*x^2+45*x^3-41*x^4+63*x^5)/(x-1)/(7*x-1)/(x^2+x+1)/(3*x^2-2*x+1) lgdogf] A156016 17.0916 [-1/2-1/2*x+1/2*(1+6*x-3*x^2)^(1/2) revogf] A156016 9.42032 [-f(x)^2*x-f(x)*x+f(x)-x-1 ogf] A156016 9.89133 [-1/2*x-1/2+1/2*(-3*x^2+6*x+1)^(1/2) revogf] A156017 12.1265 [-2*f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A156017 16.2605 [-(2*x^2-x)/(2*x+1) revogf] A156017 29.4444 [-x*(-1+2*x)/(2*x+1) revogf] A156017 3.37482 [{(8*n^2+8*n)*a(n)+(-20*n^2-44*n-24)*a(n+1)+(-10*n^2-58*n-84)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=4,a(2)=24} ogf] A156017 9.81480 [-1/2*(-2*x-1+(1-12*x+4*x^2)^(1/2))/x/(1-12*x+4*x^2)^(1/2) lgdogf] A156039 6.60349 [(x^4-x^3+3*x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A156039 7.36171 [-(1+7*x+13*x^2+21*x^3+25*x^4+31*x^5+18*x^6+22*x^7+x^8+5*x^9)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^3+3*x^2-x+1) lgdogf] A156040 11.7299 [-(x^2+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A156040 13.1246 [-(1+6*x+4*x^5+5*x^4+10*x^3+10*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A156040 25.8392 [-x^3+x^2+2*x+1 ogf_with_Euler_transform] A156058 10.4224 [10/(1-20*x)^(1/2)/(1+(1-20*x)^(1/2)) lgdogf] A156058 16.0149 [-1+f(x)-5*f(x)^2*x ogf] A156058 17.9120 [10/(1-20*x)^(1/2)/(1+(1-20*x)^(1/2)) lgdogf] A156058 6.19443 [{(-20*n-30)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=5} ogf] A156058 64.4832 [-x*(5*x-1) revogf] A156065 13.1159 [1/2*(1+x+(1+2*x+5*x^2)^(1/2))*x/(1+x)^2 revogf] A156066 10.6718 [-(x-1)*(2*x+1)*(x+2)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A156066 6.48283 [(6440*f(x)-1433)*(f(x)*x^4-6*f(x)*x^2+2*x^3+3*x^2+f(x)-3*x-2) ogf] A156066 8.09755 [-(3+18*x+2*x^6+6*x^5+12*x^2-8*x^3+3*x^4)/(x-1)/(2*x+1)/(x+2)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A156067 13.5242 [(9*x^2-x-1)/(x+1)/(2*x-1) ogf] A156067 7.02730 [{a(n+3)-a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=-5} ogf] A156067 7.38953 [-(3*f(x)-4)*(2*f(x)*x^2+f(x)*x-9*x^2-f(x)+x+1) ogf] A156067 9.95535 [-(-11*x^2+14*x-2)/(18*x^4+7*x^3-12*x^2+1) lgdogf] A156084 12.9144 [4*x/(x+1)/(x^2-18*x+1) ogf] A156084 16.6196 [-(-17-34*x+3*x^2)/(x+1)/(x^2-18*x+1) lgdogf] A156084 5.32437 [{-a(n+3)+17*a(n+2)+17*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=68} ogf] A156084 7.68327 [f(x)*x^3-17*f(x)*x^2-17*f(x)*x+f(x)-4*x ogf] A156084 8.92615 [-(-3*x^2+34*x+17)/(-x^3+17*x^2+17*x-1) lgdogf] A156085 14.0331 [x/(x+1)/(x^2-18*x+1) ogf] A156085 15.8970 [-(-17-34*x+3*x^2)/(x+1)/(x^2-18*x+1) lgdogf] A156085 5.78557 [{-a(n+3)+17*a(n+2)+17*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=17} ogf] A156085 8.34879 [f(x)*x^3-17*f(x)*x^2-17*f(x)*x+f(x)-x ogf] A156085 9.69934 [-(-3*x^2+34*x+17)/(-x^3+17*x^2+17*x-1) lgdogf] A156086 12.1089 [-(50-142*x+3*x^3-91*x^2)/(x-1)/(x+1)/(x^2-47*x+1) lgdogf] A156086 2.90653 [{(2*n+7)*a(n+1)+(-96*n-334)*a(n+2)+(96*n+242)*a(n+3)+(-2*n-5)*a(n+4),a(0)=0,a(1)=9,a(2)=450,a(3)=21186} ogf] A156086 4.06521 [-(3988465544*f(x)+33537177)*(f(x)*x^4-49*f(x)*x^3+96*f(x)*x^2-49*f(x)*x-9*x^2+f(x)-9*x) ogf] A156086 7.71349 [-(-3*x^3+91*x^2+142*x-50)/(-x^4+47*x^3-47*x+1) lgdogf] A156086 8.84782 [9*(x+1)*x/(x^2-47*x+1)/(x-1)^2 ogf] A156087 11.3733 [-(50-142*x-91*x^2+3*x^3)/(x-1)/(x+1)/(x^2-47*x+1) lgdogf] A156087 3.84767 [-(3988465544*f(x)+3726353)*(f(x)*x^4-49*f(x)*x^3+96*f(x)*x^2-49*f(x)*x-x^2+f(x)-x) ogf] A156087 7.25138 [-(-3*x^3+91*x^2+142*x-50)/(-x^4+47*x^3-47*x+1) lgdogf] A156087 8.31776 [(x+1)*x/(x^2-47*x+1)/(x-1)^2 ogf] A156088 13.1253 [-x/(x^2+7*x+1)/(x+1) ogf] A156088 18.5439 [-(8+16*x+3*x^2)/(x+1)/(x^2+7*x+1) lgdogf] A156088 5.32105 [{a(n+3)+8*a(n+2)+8*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=8} ogf] A156088 7.67061 [f(x)*x^3+8*f(x)*x^2+8*f(x)*x+f(x)+x ogf] A156088 9.08672 [-(-3*x^2-16*x-8)/(-x^3-8*x^2-8*x-1) lgdogf] A156089 4.76975 [(4031*f(x)+101)*(f(x)*x^4+7*f(x)*x^3-x^3-7*f(x)*x-4*x^2-f(x)-x) ogf] A156089 8.24558 [-(-3+2*x+19*x^4+60*x^3+2*x^5+28*x^2)/(x-1)/(x+1)/(x^2+4*x+1)/(x^2+7*x+1) lgdogf] A156089 8.80569 [(x^2+4*x+1)*x/(x-1)/(x+1)/(x^2+7*x+1) ogf] A156090 12.7412 [-(-15+53*x+3*x^3+39*x^2)/(x-1)/(x+1)/(x^2+18*x+1) lgdogf] A156090 2.97538 [{(-2*n-7)*a(n+1)+(-34*n-121)*a(n+2)+(34*n+83)*a(n+3)+(2*n+5)*a(n+4),a(0)=0,a(1)=-4,a(2)=60,a(3)=-1096} ogf] A156090 4.2446 [-(5972064*f(x)-135167)*(f(x)*x^4+16*f(x)*x^3-34*f(x)*x^2+16*f(x)*x+4*x^2+f(x)+4*x) ogf] A156090 7.88283 [-(3*x^3+39*x^2+53*x-15)/(x^4+18*x^3-18*x-1) lgdogf] A156090 8.92615 [-4*(x+1)*x/(x^2+18*x+1)/(x-1)^2 ogf] A156091 12.0334 [-(-15+53*x+39*x^2+3*x^3)/(x-1)/(x+1)/(x^2+18*x+1) lgdogf] A156091 3.97426 [-(23888256*f(x)-135167)*(f(x)*x^4+16*f(x)*x^3-34*f(x)*x^2+16*f(x)*x+x^2+f(x)+x) ogf] A156091 7.43238 [-(3*x^3+39*x^2+53*x-15)/(x^4+18*x^3-18*x-1) lgdogf] A156091 8.41607 [-(x+1)*x/(x^2+18*x+1)/(x-1)^2 ogf] A156092 12.7421 [-9*x/(x+1)/(x^2+47*x+1) ogf] A156092 17.5069 [-3*(16+32*x+x^2)/(x+1)/(x^2+47*x+1) lgdogf] A156092 5.20764 [{a(n+3)+48*a(n+2)+48*a(n+1)+a(n),a(0)=0,a(1)=-9,a(2)=432} ogf] A156092 7.58075 [f(x)*x^3+48*f(x)*x^2+48*f(x)*x+f(x)+9*x ogf] A156092 8.80704 [-(-3*x^2-96*x-48)/(-x^3-48*x^2-48*x-1) lgdogf] A156093 12.0342 [-x/(x+1)/(x^2+47*x+1) ogf] A156093 16.5563 [-3*(16+32*x+x^2)/(x+1)/(x^2+47*x+1) lgdogf] A156093 4.96147 [{a(n+3)+48*a(n+2)+48*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=48} ogf] A156093 7.1596 [f(x)*x^3+48*f(x)*x^2+48*f(x)*x+f(x)+x ogf] A156093 8.31776 [-(-3*x^2-96*x-48)/(-x^3-48*x^2-48*x-1) lgdogf] A156094 6.36034 [-(11*x^4-60*x^3+53*x^2-10*x+1)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A156095 5.55491 [-(11-120*x+x^8+40*x^7+660*x^5-259*x^4-480*x^3+456*x^2-334*x^6)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1)/(x^4+20*x^3-27*x^2+1) lgdogf] A156095 6.79408 [-(x^4+20*x^3-27*x^2+1)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A156096 14.3667 [-(x+1)/(2*x^3+4*x^2-1) ogf] A156096 16.0519 [-(1+8*x+10*x^2+4*x^3)/(x+1)/(2*x^3+4*x^2-1) lgdogf] A156096 7.48902 [{a(n+3)-4*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A156096 7.82186 [-(71*f(x)-1)*(2*f(x)*x^3+4*f(x)*x^2-f(x)+x+1) ogf] A156096 8.69096 [-(4*x^3+10*x^2+8*x+1)/(2*x^4+6*x^3+4*x^2-x-1) lgdogf] A156106 3.98254 [-27*f(x)^3*x^2+9*f(x)^3*x-2*f(x)^3-9*f(x)^2*x+6*f(x)^2-6*f(x)+2 ogf] A156125 5.39913 [{(-40*n-60)*a(n+1)+(n+5)*a(n+2),a(0)=1,a(1)=5} ogf] A156125 5.61087 [-10000*f(x)^2*x^3+3000*f(x)*x^2-100*f(x)*x-2560*x^2+f(x)+95*x-1 ogf] A156126 10.6454 [-(x-5)*(x^2+7)/(-1+x)/(9*x^4-35*x^3+50*x^2-31*x-1) lgdogf] A156126 3.50003 [(7536*f(x)+126889)*(f(x)*x^4-4*f(x)*x^3+9*x^4+6*f(x)*x^2-35*x^3-4*f(x)*x+50*x^2+f(x)-31*x-1) ogf] A156126 6.20459 [-(9*x^4-35*x^3+50*x^2-31*x-1)/(x-1)^4 ogf] A156127 10.2036 [-(-2*x^2+16*x-11)/(-2*x^3+11*x^2-13*x+4) lgdogf] A156127 15.4188 [-(x-4)/(2*x-1)/(x-1) ogf] A156127 7.97522 [(17*f(x)+53)*(2*f(x)*x^2-3*f(x)*x+f(x)+x-4) ogf] A156127 8.35958 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=4,a(1)=11} ogf] A156128 11.1234 [12/(1-24*x)^(1/2)/(1+(1-24*x)^(1/2)) lgdogf] A156128 17.0921 [-1+f(x)-6*f(x)^2*x ogf] A156128 19.1389 [12/(1-24*x)^(1/2)/(1+(1-24*x)^(1/2)) lgdogf] A156128 6.61110 [{(-24*n-36)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=6} ogf] A156128 62.6363 [-x*(-1+6*x) revogf] A156156 12.6203 [-(25*x-13)/(x^2-6*x+1) ogf] A156156 12.9149 [-1/2*(-13-6*x+(169+56*x+32*x^2)^(1/2))/(25+x) revogf] A156156 14.9018 [-(53-26*x+25*x^2)/(25*x-13)/(x^2+1-6*x) lgdogf] A156156 6.24374 [-(292*f(x)-987)*(f(x)*x^2-6*f(x)*x+f(x)+25*x-13) ogf] A156156 7.06137 [{a(n+2)-6*a(n+1)+a(n),a(0)=13,a(1)=53} ogf] A156156 8.12541 [-(-25*x^2+26*x-53)/(-25*x^3+163*x^2-103*x+13) lgdogf] A156157 12.8115 [-17*(x-1)/(x^2-6*x+1) ogf] A156157 12.8295 [-1/2*(-17-6*x+(289+136*x+32*x^2)^(1/2))/(17+x) revogf] A156157 19.6720 [-(5-2*x+x^2)/(x-1)/(x^2-6*x+1) lgdogf] A156157 6.40577 [-(48*f(x)-191)*(f(x)*x^2-6*f(x)*x+f(x)+17*x-17) ogf] A156157 7.16836 [{a(n+2)-6*a(n+1)+a(n),a(0)=17,a(1)=85} ogf] A156157 9.40847 [-(-x^2+2*x-5)/(-x^3+7*x^2-7*x+1) lgdogf] A156158 11.8404 [-(13*x-25)/(x^2-6*x+1) ogf] A156158 11.8418 [-1/2*(-25-6*x+(625+248*x+32*x^2)^(1/2))/(13+x) revogf] A156158 13.6180 [-(137-50*x+13*x^2)/(13*x-25)/(x^2-6*x+1) lgdogf] A156158 5.85788 [-(772*f(x)-531)*(f(x)*x^2-6*f(x)*x+f(x)+13*x-25) ogf] A156158 6.54705 [{a(n+2)-6*a(n+1)+a(n),a(0)=25,a(1)=137} ogf] A156158 7.52026 [-(-13*x^2+50*x-137)/(-13*x^3+103*x^2-163*x+25) lgdogf] A156159 4.73469 [-(169*x^6+120*x^5+336*x^4-3562*x^3+336*x^2+120*x+169)/(x-1)/(x^6-34*x^3+1) ogf] A156160 3.62633 [(3952947718*f(x)-49057110321)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+625*x^2-f(x)-3106*x+169) ogf] A156160 4.09805 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=169,a(1)=2809,a(2)=93025} ogf] A156160 6.01834 [-(2809-10580*x+87342*x^2-6212*x^3+625*x^4)/(x-1)/(x^2-34*x+1)/(625*x^2-3106*x+169) lgdogf] A156160 7.20086 [-(625*x^2-3106*x+169)/(x-1)/(x^2-34*x+1) ogf] A156161 3.97889 [(161703*f(x)-524246)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+289*x^2-f(x)-2890*x+289) ogf] A156161 4.17142 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=289,a(1)=7225,a(2)=243049} ogf] A156161 7.38937 [-289*(x^2-10*x+1)/(x-1)/(x^2-34*x+1) ogf] A156161 8.30655 [-(25-68*x+318*x^2-20*x^3+x^4)/(x-1)/(x^2-10*x+1)/(x^2-34*x+1) lgdogf] A156162 3.76206 [(184565873078*f(x)+95931915481)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+169*x^2-f(x)-3106*x+625) ogf] A156162 4.24361 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=625,a(1)=18769,a(2)=635209} ogf] A156162 6.18922 [-(18769-43412*x+104670*x^2-6212*x^3+169*x^4)/(x-1)/(x^2-34*x+1)/(169*x^2-3106*x+625) lgdogf] A156162 7.57787 [-(169*x^2-3106*x+625)/(x-1)/(x^2-34*x+1) ogf] A156174 13.7471 [(x^2+1)/(x^4+x^3+x^2+x+1) ogf] A156174 22.4643 [-(1+2*x^5+2*x^2+4*x^3+x^4)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A156174 27.0219 [x^4-x^3+x-1 ogf_with_Euler_transform] A156174 6.29268 [{-a(n+4)-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-1} ogf] A156174 8.67534 [f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x-x^2+f(x)-1 ogf] A156189 13.9178 [-3*(1+24*x+36*x^2)/(6*x-1)/(3*x+1)/(6*x+1) lgdogf] A156189 14.2078 [-(3*x+1)/(6*x-1)/(6*x+1) ogf] A156189 14.6137 [1/6*(-1+(1+12*x+144*x^2)^(1/2))/(12*x+1) revogf] A156189 8.52466 [-(-108*x^2-72*x-3)/(-108*x^3-36*x^2+3*x+1) lgdogf] A156189 8.52466 [(20*f(x)-19)*(36*f(x)*x^2-f(x)+3*x+1) ogf] A156189 9.18040 [{-a(n+2)+36*a(n),a(0)=1,a(1)=3} ogf] A156195 13.5871 [-(5*x^2+x)/(-30*x^2-10*x-1) revogf] A156195 3.56167 [{(120*n+240)*a(n+1)+(-20*n-40)*a(n+2)+(-6*n-30)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=5,a(2)=30,a(3)=175} ogf] A156195 9.28741 [-30*f(x)^2*x^2+5*f(x)^2*x-10*f(x)*x+f(x)-1 ogf] A156198 10.0501 [1/2*ln(2*x+5)+arctanh(1/3*(22*x+64)^(1/2))-1/2*ln(5)-arctanh(8/3) revegf] A156198 14.8161 [-(5*x-8)/(2*x-1)/(x-1) ogf] A156198 16.3314 [-(19-32*x+10*x^2)/(x-1)/(5*x-8)/(-1+2*x) lgdogf] A156198 7.57642 [(25*f(x)+161)*(2*f(x)*x^2-3*f(x)*x+f(x)+5*x-8) ogf] A156198 8.03283 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=8,a(1)=19} ogf] A156198 9.52464 [-(-10*x^2+32*x-19)/(-10*x^3+31*x^2-29*x+8) lgdogf] A156199 7.99430 [-(2*x^11+7*x^10+x^9+7*x^8+2*x^7+x^6+x^5+4*x^4+2*x^3+4*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A156202 14.7868 [-(7*x-10)/(2*x-1)/(x-1) ogf] A156202 15.5052 [-1/2*(-10-3*x+(100+32*x+x^2)^(1/2))/(7+2*x) revogf] A156202 16.6681 [-(23-40*x+14*x^2)/(7*x-10)/(x-1)/(2*x-1) lgdogf] A156202 8.09756 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=10,a(1)=23} ogf] A156202 8.68143 [(29*f(x)+239)*(2*f(x)*x^2-3*f(x)*x+f(x)+7*x-10) ogf] A156202 9.58021 [-(-14*x^2+40*x-23)/(-14*x^3+41*x^2-37*x+10) lgdogf] A156203 13.7542 [-(11*x-14)/(2*x-1)/(x-1) ogf] A156203 14.3890 [-1/2*(-14-3*x+(196+40*x+x^2)^(1/2))/(11+2*x) revogf] A156203 15.4419 [-(31-56*x+22*x^2)/(x-1)/(2*x-1)/(11*x-14) lgdogf] A156203 7.18275 [(37*f(x)+443)*(2*f(x)*x^2-3*f(x)*x+f(x)+11*x-14) ogf] A156203 7.69580 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=14,a(1)=31} ogf] A156203 9.10489 [-(-22*x^2+56*x-31)/(-22*x^3+61*x^2-53*x+14) lgdogf] A156230 7.74751 [-(7*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A156232 11.9888 [-4*(x-1)*x/(2*x-1)/(2*x^2-1) ogf] A156232 14.9569 [-(1+4*x+8*x^3-14*x^2)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A156232 6.15643 [-(f(x)+4)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-4*x) ogf] A156232 6.15643 [{-a(n+3)+2*a(n+2)+2*a(n+1)-4*a(n),a(0)=0,a(1)=4,a(2)=4} ogf] A156232 9.36115 [-(-8*x^3+14*x^2-4*x-1)/(-4*x^4+6*x^3-3*x+1) lgdogf] A156266 13.8206 [-1+f(x)-7*f(x)^2*x ogf] A156266 5.34568 [{(-28*n-42)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=7} ogf] A156266 8.99432 [14/(1-28*x)^(1/2)/(1+(1-28*x)^(1/2)) lgdogf] A156269 7.58191 [-2*(1+6*x-30*x^2-36*x^3-68*x^4+72*x^5+32*x^6+16*x^7)/(4*x^3+1)/(8*x^5+8*x^4+12*x^3-6*x^2-2*x-1) lgdogf] A156269 8.21469 [-(8*x^5+8*x^4+12*x^3-6*x^2-2*x-1)/(4*x^3+1)^2 ogf] A156270 14.3734 [-1+f(x)-8*f(x)^2*x ogf] A156270 16.0549 [16/(1-32*x)^(1/2)/(1+(1-32*x)^(1/2)) lgdogf] A156270 5.55951 [{(-32*n-48)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=8} ogf] A156270 52.5432 [-x*(-1+8*x) revogf] A156270 9.35410 [16/(1-32*x)^(1/2)/(1+(1-32*x)^(1/2)) lgdogf] A156273 11.0109 [18/(1-36*x)^(1/2)/(1+(1-36*x)^(1/2)) lgdogf] A156273 16.9192 [-1+f(x)-9*f(x)^2*x ogf] A156273 18.9480 [18/(1-36*x)^(1/2)/(1+(1-36*x)^(1/2)) lgdogf] A156273 6.54424 [{(-36*n-54)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=9} ogf] A156273 62.0116 [-x*(-1+9*x) revogf] A156275 14.9756 [-1+f(x)-10*f(x)^2*x ogf] A156275 5.87825 [{(-40*n-60)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=10} ogf] A156275 9.98370 [20/(1-40*x)^(1/2)/(1+(1-40*x)^(1/2)) lgdogf] A156276 5.18567 [{-a(n+4)+100*a(n+2),a(0)=1,a(1)=5,a(2)=100,a(3)=250} ogf] A156276 6.5301 [(52*f(x)+11)*(100*f(x)*x^2-250*x^3-f(x)+5*x+1) ogf] A156276 7.49821 [5*(1+40*x+5000*x^4-50*x^2)/(10*x+1)/(5*x-1)/(-1+10*x)/(50*x^2+10*x+1) lgdogf] A156276 9.97996 [(5*x-1)*(50*x^2+10*x+1)/(10*x-1)/(10*x+1) ogf] A156279 12.5913 [4*(x-2)/(x^2+x-1) ogf] A156279 19.0646 [-(-1-4*x+x^2)/(x-2)/(x^2+x-1) lgdogf] A156279 6.90985 [{-a(n+2)+a(n+1)+a(n),a(0)=8,a(1)=4} ogf] A156279 8.85325 [-(-x^2+4*x+1)/(-x^3+x^2+3*x-2) lgdogf] A156279 8.99378 [-f(x)*x^2-f(x)*x+f(x)+4*x-8 ogf] A156283 6.98833 [(x^4+3*x^3+7*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A156297 5.92560 [-(x^37-x^34+x^27-x^13+x^6)/(-x^38-x^21-1) ogf_with_Euler_transform] A156301 6.20380 [x*(x^6+x^3+1)*(x^11+x^9+x+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A156331 6.79844 [-(6*x+x^12+2*x^11+8*x^10-10*x^9+18*x^8-6*x^7-3*x^6-4*x^5-4*x^4-6*x^2+14*x^3+2)/(x-1)/(x^2+1)/(x^6+x^5+3*x^4-x^3+3*x^2+x+1)/(x^4-x^2+1) lgdogf] A156331 9.77116 [-8*(x^6+x^5+3*x^4-x^3+3*x^2+x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A156341 10.1160 [-(-33*x^2+22*x-9)/(-33*x^3+47*x^2-15*x+1) lgdogf] A156341 14.8512 [-2*(3*x-1)/(11*x-1)/(x-1) ogf] A156341 17.5903 [-(-1-6*x+(1+6*x+25*x^2)^(1/2))/(6+11*x) revogf] A156341 17.5903 [-(9-22*x+33*x^2)/(x-1)/(3*x-1)/(11*x-1) lgdogf] A156341 7.58702 [-(43*f(x)-5)*(11*f(x)*x^2-12*f(x)*x+f(x)+6*x-2) ogf] A156341 8.21182 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=2,a(1)=18} ogf] A156346 5.24999 [-(x-1)*(x^4+3*x^3-x^2+3*x+1)/(x^2+1)/(x^4-x^2+1) ogf] A156359 11.2699 [-7*(1+56*x+196*x^2)/(14*x+1)/(7*x+1)/(14*x-1) lgdogf] A156359 12.0576 [-(7*x+1)/(14*x-1)/(14*x+1) ogf] A156359 12.3694 [1/14*(-1+(1+28*x+784*x^2)^(1/2))/(1+28*x) revogf] A156359 7.00645 [-(-1372*x^2-392*x-7)/(-1372*x^3-196*x^2+7*x+1) lgdogf] A156359 7.30251 [(20*f(x)-19)*(196*f(x)*x^2-f(x)+7*x+1) ogf] A156359 7.85571 [{-a(n+2)+196*a(n),a(0)=1,a(1)=7} ogf] A156361 10.6515 [-(6*x^2+x)/(-42*x^2-12*x-1) revogf] A156361 22.5279 [x*(1+6*x)/(1+12*x+42*x^2) revogf] A156361 7.28077 [-42*f(x)^2*x^2+6*f(x)^2*x-12*f(x)*x+f(x)-1 ogf] A156362 11.3172 [-(7*x^2+x)/(-56*x^2-14*x-1) revogf] A156362 23.9658 [x*(7*x+1)/(1+14*x+56*x^2) revogf] A156362 7.73582 [-56*f(x)^2*x^2+7*f(x)^2*x-14*f(x)*x+f(x)-1 ogf] A156376 15.8667 [-(11*x+49)/(11*x^2+8*x-19) lgdogf] A156376 17.5546 [(11*x+19)/(x-1)^2 ogf] A156376 20.2375 [-1/2*(-19-2*x+(361+120*x)^(1/2))/(-11+x) revogf] A156376 31.1346 [-(49+11*x)/(11*x+19)/(x-1) lgdogf] A156376 9.06666 [(60*f(x)+1261)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-19) ogf] A156376 9.82221 [{-a(n+2)+2*a(n+1)-a(n),a(0)=19,a(1)=49} ogf] A156425 5.23138 [-(f(x)-1680*x-1)^3 ogf] A156521 2.08536 [(f(x)-1)^2*(-3*x^3+f(x)-1) ogf] A156536 10.6782 [-(x-1)*(7*x^4+12*x^3+11*x^2+12*x+7)/(x^2+1)/(x^4-x^2+1) ogf] A156536 7.71363 [-(5-2*x-3*x^8-25*x^6-42*x^5-35*x^4-20*x^3+4*x^7+10*x^9+7*x^10+3*x^2)/(x-1)/(x^2+1)/(x^4-x^2+1)/(7*x^4+12*x^3+11*x^2+12*x+7) lgdogf] A156550 11.4424 [2*f(x)*x^2-f(x)*x-f(x)+5*x+5 ogf] A156550 12.0146 [-(2*x^2+4*x)/(2*x^3+x^2-2*x-1) lgdogf] A156550 16.0194 [-5*(x+1)/(2*x+1)/(x-1) ogf] A156550 19.0616 [1/2/(5+2*x)*(-5+x+(25+10*x+9*x^2)^(1/2)) revogf] A156550 25.4154 [-2*x*(x+2)/(x-1)/(2*x+1)/(x+1) lgdogf] A156550 8.89968 [{-a(n+2)-a(n+1)+2*a(n),a(0)=5,a(1)=0} ogf] A156561 6.38175 [-(3-6*x-6*x^5+x^4+33*x^6-60*x^7+57*x^8-32*x^9+7*x^10+3*x^2-2*x^3)/(x-1)/(x^2-3*x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A156561 7.17398 [-x^3*(x^2-x+1)/(x-1)/(x^2+1)/(x^2-3*x+1)/(x^4-x^2+1) ogf] A156566 10.5782 [-(8*x^2+x)/(-72*x^2-16*x-1) revogf] A156566 22.3777 [x*(8*x+1)/(1+16*x+72*x^2) revogf] A156566 7.23065 [-72*f(x)^2*x^2+8*f(x)^2*x-16*f(x)*x+f(x)-1 ogf] A156567 7.93370 [-(x-1)*(17*x^4+40*x^3+77*x^2+40*x+17)/(x^6-6*x^3+1) ogf] A156568 11.7778 [-1/2*(-23-6*x+(529+184*x+32*x^2)^(1/2))/(23+x) revogf] A156568 11.7778 [-23*(x-1)/(x^2-6*x+1) ogf] A156568 5.76619 [-(816*f(x)-4393)*(f(x)*x^2-6*f(x)*x+f(x)+23*x-23) ogf] A156568 6.51241 [{a(n+2)-6*a(n+1)+a(n),a(0)=23,a(1)=115} ogf] A156568 8.64930 [-(-x^2+2*x-5)/(-x^3+7*x^2-7*x+1) lgdogf] A156569 11.7778 [-1/2*(-37-6*x+(1369+376*x+32*x^2)^(1/2))/(17+x) revogf] A156569 12.0283 [-(17*x-37)/(x^2-6*x+1) ogf] A156569 13.8389 [-(205-74*x+17*x^2)/(17*x-37)/(x^2-6*x+1) lgdogf] A156569 5.88888 [-(1156*f(x)-747)*(f(x)*x^2-6*f(x)*x+f(x)+17*x-37) ogf] A156569 6.65096 [{a(n+2)-6*a(n+1)+a(n),a(0)=37,a(1)=205} ogf] A156569 7.63962 [-(-17*x^2+74*x-205)/(-17*x^3+139*x^2-239*x+37) lgdogf] A156570 12.6840 [-(37*x-17)/(x^2-6*x+1) ogf] A156570 12.9815 [-1/2*(-17-6*x+(289+56*x+32*x^2)^(1/2))/(37+x) revogf] A156570 14.9787 [-(65-34*x+37*x^2)/(37*x-17)/(x^2-6*x+1) lgdogf] A156570 6.2099 [-(356*f(x)-1827)*(f(x)*x^2-6*f(x)*x+f(x)+37*x-17) ogf] A156570 7.09702 [{a(n+2)-6*a(n+1)+a(n),a(0)=17,a(1)=65} ogf] A156570 8.16644 [-(-37*x^2+34*x-65)/(-37*x^3+239*x^2-139*x+17) lgdogf] A156572 4.93094 [-(289*x^6+240*x^5+840*x^4-6970*x^3+840*x^2+240*x+289)/(x-1)/(x^6-34*x^3+1) ogf] A156573 4.03979 [(161703*f(x)-959606)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+529*x^2-f(x)-5290*x+529) ogf] A156573 4.20138 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=529,a(1)=13225,a(2)=444889} ogf] A156573 7.50247 [-529*(x^2-10*x+1)/(x-1)/(x^2-34*x+1) ogf] A156573 8.43634 [-(25-68*x+x^4-20*x^3+318*x^2)/(x-1)/(x^2-10*x+1)/(x^2-34*x+1) lgdogf] A156574 3.77532 [(926612437446*f(x)+1730212965743)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+289*x^2-f(x)-5890*x+1369) ogf] A156574 4.28068 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1369,a(1)=42025,a(2)=1423249} ogf] A156574 6.19872 [-(42025-95252*x+200142*x^2-11780*x^3+289*x^4)/(x-1)/(x^2-34*x+1)/(289*x^2-5890*x+1369) lgdogf] A156574 7.65699 [-(289*x^2-5890*x+1369)/(x-1)/(x^2-34*x+1) ogf] A156575 3.59361 [(8838845046*f(x)-254124697927)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+1369*x^2-f(x)-5890*x+289) ogf] A156575 4.08629 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=289,a(1)=4225,a(2)=139129} ogf] A156575 5.70280 [-(4225-17492*x+159102*x^2-11780*x^3+1369*x^4)/(-1+x)/(1369*x^2-5890*x+289)/(x^2-34*x+1) lgdogf] A156575 7.13662 [-(1369*x^2-5890*x+289)/(x-1)/(x^2-34*x+1) ogf] A156577 10.5782 [-(9*x^2+x)/(-90*x^2-18*x-1) revogf] A156577 22.3777 [x*(1+9*x)/(1+18*x+90*x^2) revogf] A156577 7.23065 [-90*f(x)^2*x^2+9*f(x)^2*x-18*f(x)*x+f(x)-1 ogf] A156589 10.3917 [(10*x^2-8*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A156589 5.5015 [-(7*f(x)-411)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-10*x^2-f(x)+8*x-1) ogf] A156589 5.74279 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=-1,a(1)=1,a(2)=11} ogf] A156589 9.48741 [-(-1-8*x+80*x^4-128*x^3+66*x^2)/(x-1)/(4*x-1)/(2*x-1)/(10*x^2-8*x+1) lgdogf] A156591 12.4687 [-(3*x-1)*(3*x-2)/(x+1)/(2*x-1) ogf] A156591 16.7055 [(7-26*x+27*x^2)/(3*x-1)/(2*x-1)/(3*x-2)/(x+1) lgdogf] A156591 6.47882 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=2,a(1)=-7,a(2)=6} ogf] A156591 6.67515 [-(11+19*f(x))*(2*f(x)*x^2+f(x)*x+9*x^2-f(x)-9*x+2) ogf] A156591 8.58234 [-(-27*x^2+26*x-7)/(18*x^4-9*x^3-14*x^2+11*x-2) lgdogf] A156605 10.2268 [-(-108*x^2+56*x-8)/(-108*x^3+163*x^2-62*x+7) lgdogf] A156605 16.0072 [-(27*x-7)/(4*x-1)/(x-1) ogf] A156605 16.4386 [-1/2*(-7-5*x+(49-38*x+9*x^2)^(1/2))/(27+4*x) revogf] A156605 17.2214 [-4*(2-14*x+27*x^2)/(x-1)/(-1+4*x)/(27*x-7) lgdogf] A156605 7.91752 [-(49*f(x)-599)*(4*f(x)*x^2-5*f(x)*x+f(x)+27*x-7) ogf] A156605 8.97965 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=7,a(1)=8} ogf] A156616 12.3503 [-(2*x^2+3*x+2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A156619 10.8790 [-(-7*x^3-29*x^2-46*x-18)/(-7*x^4-11*x^3+11*x+7) lgdogf] A156619 13.5111 [(7*x^2+11*x+7)/(x+1)/(x-1)^2 ogf] A156619 16.4346 [-(18+46*x+29*x^2+7*x^3)/(x-1)/(x+1)/(7*x^2+11*x+7) lgdogf] A156619 7.28423 [(17*f(x)-114)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-11*x-7) ogf] A156619 7.34812 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=7,a(1)=18,a(2)=32} ogf] A156626 5.18023 [{(-n^2-2*n-1)*a(n)+(2*n+4)*a(n+1)-a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A156627 13.5328 [-(70*x+268)/(70*x^2+29*x-99) lgdogf] A156627 14.3288 [26*(70*x+99)/(x-1)^2 ogf] A156627 17.4825 [-(-1287-x+13*(9801+26*x)^(1/2))/(-1820+x) revogf] A156627 24.7167 [-2*(134+35*x)/(70*x+99)/(x-1) lgdogf] A156627 7.61219 [(13*f(x)+38362)*(f(x)*x^2-2*f(x)*x+f(x)-1820*x-2574) ogf] A156627 8.30422 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2574,a(1)=6968} ogf] A156634 10.1261 [(2187*x^3-9*x-1)/(18*x-1)/(18*x+1) ogf] A156634 5.36088 [{-a(n+4)+324*a(n+2),a(0)=1,a(1)=9,a(2)=324,a(3)=729} ogf] A156634 6.66842 [(47*f(x)+23)*(324*f(x)*x^2-2187*x^3-f(x)+9*x+1) ogf] A156634 7.64967 [9*(9*x+1)*(8748*x^3-972*x^2+63*x+1)/(18*x-1)/(18*x+1)/(2187*x^3-9*x-1) lgdogf] A156635 12.6825 [-(145*x+143)/(x-1)^3 ogf] A156635 12.9090 [-(290*x+574)/(145*x^2-2*x-143) lgdogf] A156635 22.1499 [-2*(287+145*x)/(145*x+143)/(x-1) lgdogf] A156635 5.51835 [(101213162496*f(x)-19789351378703)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+145*x+143) ogf] A156635 6.07482 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=143,a(1)=574,a(2)=1293} ogf] A156636 13.5328 [-(-99*x-239)/(-99*x^2+29*x+70) lgdogf] A156636 14.3288 [26*(99*x+70)/(x-1)^2 ogf] A156636 17.9196 [-(-910-x+13*(4900+26*x)^(1/2))/(-2574+x) revogf] A156636 26.5476 [-(239+99*x)/(99*x+70)/(x-1) lgdogf] A156636 7.61219 [(13*f(x)+33461)*(f(x)*x^2-2*f(x)*x+f(x)-2574*x-1820) ogf] A156636 8.30422 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1820,a(1)=6214} ogf] A156638 11.4645 [-(-4*x^3-6*x^2-21*x-5)/(-4*x^4-x^3+x+4) lgdogf] A156638 13.7199 [(4*x^2+x+4)/(x+1)/(x-1)^2 ogf] A156638 18.2386 [-(5+21*x+4*x^3+6*x^2)/(x-1)/(x+1)/(4*x^2+x+4) lgdogf] A156638 7.09247 [-(45*f(x)+469)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-x-4) ogf] A156638 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=13} ogf] A156639 4.70583 [(5500962844*f(x)-977504783077)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+29*x^2-f(x)+251*x+58) ogf] A156639 5.38380 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=58,a(1)=425,a(2)=1130} ogf] A156639 8.47051 [-(29*x^2+560*x+425)/(29*x^3+222*x^2-193*x-58) lgdogf] A156639 9.77366 [-(29*x^2+251*x+58)/(x-1)^3 ogf] A156640 10.1839 [-(58*x^2+251*x+29)/(x-1)^3 ogf] A156640 14.4021 [-2*(169+309*x+29*x^2)/(x-1)/(58*x^2+251*x+29) lgdogf] A156640 4.76227 [(117367316716*f(x)-18345666293699)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+58*x^2-f(x)+251*x+29) ogf] A156640 5.65774 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=338,a(2)=985} ogf] A156640 8.82608 [-(58*x^2+618*x+338)/(58*x^3+193*x^2-222*x-29) lgdogf] A156641 11.1821 [13/(100*x-1)/(x-1) ogf] A156641 14.3097 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A156641 4.56902 [(10001*f(x)+2600)*(100*f(x)*x^2-101*f(x)*x+f(x)-13) ogf] A156641 4.72133 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=13,a(1)=1313} ogf] A156641 7.82981 [-1/200*(-101*x-13+(81*x+13)^(1/2)*(121*x+13)^(1/2))/x revogf] A156664 12.3224 [(x-1)^2/(2*x-1)/(x^2+2*x-1) ogf] A156664 16.4013 [-2*(1-x+x^3-3*x^2)/(-1+x)/(2*x-1)/(x^2+2*x-1) lgdogf] A156664 6.71129 [{-a(n+3)+4*a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A156664 8.44567 [2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1 ogf] A156664 9.39581 [-(-2*x^3+6*x^2+2*x-2)/(-2*x^4-x^3+7*x^2-5*x+1) lgdogf] A156674 10.1712 [-(10*x^3+68*x^2+79*x+39)/(10*x^4+29*x^3-29*x-10) lgdogf] A156674 12.7141 [(2*x+5)*(5*x+2)/(x+1)/(x-1)^2 ogf] A156674 15.3472 [-(39+79*x+68*x^2+10*x^3)/(x-1)/(2*x+5)/(5*x+2)/(x+1) lgdogf] A156674 6.83782 [(209*f(x)-1359)*(f(x)*x^3-f(x)*x^2-f(x)*x-10*x^2+f(x)-29*x-10) ogf] A156674 7.07565 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=10,a(1)=39,a(2)=59} ogf] A156675 11.1821 [17/(100*x-1)/(x-1) ogf] A156675 14.3097 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A156675 4.56902 [(10001*f(x)+3400)*(100*f(x)*x^2-101*f(x)*x+f(x)-17) ogf] A156675 4.72133 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=17,a(1)=1717} ogf] A156675 7.82981 [-1/200*(-101*x-17+(81*x+17)^(1/2)*(121*x+17)^(1/2))/x revogf] A156676 10.1008 [-(-131*x^2-312*x-43)/(-131*x^3+106*x^2+19*x+6) lgdogf] A156676 11.6791 [-(131*x^2+25*x+6)/(x-1)^3 ogf] A156676 17.4528 [-(43+312*x+131*x^2)/(x-1)/(131*x^2+25*x+6) lgdogf] A156676 5.57806 [(2752234524*f(x)-137977515739)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+131*x^2-f(x)+25*x+6) ogf] A156676 6.49965 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=43,a(2)=242} ogf] A156677 11.2705 [-(242*x^2-123*x+43)/(x-1)^3 ogf] A156677 16.2090 [-2*(3+119*x+121*x^2)/(x-1)/(242*x^2-123*x+43) lgdogf] A156677 5.50999 [(1179169164*f(x)-73982396177)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+242*x^2-f(x)-123*x+43) ogf] A156677 6.46826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=43,a(1)=6,a(2)=131} ogf] A156677 9.91800 [-(-242*x^2-238*x-6)/(-242*x^3+365*x^2-166*x+43) lgdogf] A156701 10.2968 [-(25+122*x+122*x^3+25*x^4+186*x^2)/(x-1)/(25*x^4+11*x^3+51*x^2+5*x+4) lgdogf] A156701 7.39122 [-(25*x^4+11*x^3+51*x^2+5*x+4)/(x-1)^5 ogf] A156702 7.54081 [-(127+195*x+x^7+229*x^5+665*x^4+295*x^3+539*x^2+253*x^6)/(x-1)/(x+1)/(x^2+1)/(x^4+126*x^3+34*x^2+126*x+1) lgdogf] A156702 9.84161 [(x^4+126*x^3+34*x^2+126*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A156711 11.0131 [-(45*x^2+215*x+28)/(x-1)^3 ogf] A156711 16.3197 [-(299+520*x+45*x^2)/(x-1)/(45*x^2+215*x+28) lgdogf] A156711 5.38234 [(697476096*f(x)-94820791933)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+45*x^2-f(x)+215*x+28) ogf] A156711 6.11838 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=28,a(1)=299,a(2)=858} ogf] A156711 9.54468 [-(45*x^2+520*x+299)/(45*x^3+170*x^2-187*x-28) lgdogf] A156712 10.3289 [-(x^2-8*x+1)/(x-1)/(x^2-14*x+1) ogf] A156712 5.60966 [(627*f(x)+10)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)-8*x+1) ogf] A156712 5.65844 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=91} ogf] A156712 6.13888 [-(-x^4+16*x^3-108*x^2+28*x-7)/(-x^5+23*x^4-136*x^3+136*x^2-23*x+1) lgdogf] A156712 8.35557 [-(7-28*x+x^4-16*x^3+108*x^2)/(x-1)/(1-14*x+x^2)/(x^2-8*x+1) lgdogf] A156718 12.7285 [(70*x^2+29*x+70)/(x+1)/(x-1)^2 ogf] A156718 14.5345 [-(99+379*x+128*x^2+70*x^3)/(x-1)/(x+1)/(70*x^2+29*x+70) lgdogf] A156718 6.36426 [-(10291*f(x)+2307579)*(f(x)*x^3-f(x)*x^2-f(x)*x-70*x^2+f(x)-29*x-70) ogf] A156718 7.02263 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=70,a(1)=99,a(2)=239} ogf] A156718 9.93445 [-(70*x^3+128*x^2+379*x+99)/(70*x^4+29*x^3-29*x-70) lgdogf] A156719 10.5433 [-(28*x^2+215*x+45)/(x-1)^3 ogf] A156719 15.6123 [-(45+520*x+299*x^2)/(x-1)/(299*x^2-39*x+28) lgdogf] A156719 4.96605 [(70780013568*f(x)-10511059614353)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)+215*x+45) ogf] A156719 5.85740 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=45,a(1)=350,a(2)=943} ogf] A156719 9.13755 [-(28*x^2+486*x+350)/(28*x^3+187*x^2-170*x-45) lgdogf] A156721 4.26961 [(22604257*f(x)-1357667773651)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9801*x^2-f(x)+84840*x+19603) ogf] A156721 4.77789 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19603,a(1)=143649,a(2)=381939} ogf] A156721 6.54363 [-(9801*x^2+189282*x+143649)/(9801*x^3+75039*x^2-65237*x-19603) lgdogf] A156721 8.36131 [-(9801*x^2+84840*x+19603)/(x-1)^3 ogf] A156721 9.99105 [-(19603+208886*x+114243*x^2)/(x-1)/(114243*x^2-9800*x+9801) lgdogf] A156735 10.5576 [-(114243+208886*x+19603*x^2)/(x-1)/(19603*x^2+84840*x+9801) lgdogf] A156735 4.50788 [(24802947*f(x)-1310426110387)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19603*x^2-f(x)+84840*x+9801) ogf] A156735 5.08488 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9801,a(1)=114243,a(2)=332929} ogf] A156735 6.83452 [-(19603*x^2+208886*x+114243)/(19603*x^3+65237*x^2-75039*x-9801) lgdogf] A156735 8.82792 [-(19603*x^2+84840*x+9801)/(x-1)^3 ogf] A156752 13.2172 [(2*f(x)+7)*(x^4+f(x)*x-f(x)+x+1) ogf] A156752 13.7680 [-(3*x^4-4*x^3-2)/(-x^5+x^4-x^2+1) lgdogf] A156752 22.0287 [-(x^4+x+1)/(x-1) ogf] A156752 30.3962 [(-2+3*x^4-4*x^3)/(x-1)/(x^4+x+1) lgdogf] A156752 5.38746 [{(-3*n^2+9*n)*a(n)+(-n^2-9*n+16)*a(n+1)+(4*n^2-16)*a(n+2),a(0)=1,a(1)=2,a(2)=2,a(3)=2,a(4)=3} ogf] A156755 10.2195 [-(3*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A156760 10.3287 [-(-4*x^2+32*x-19)/(-4*x^3+21*x^2-21*x+4) lgdogf] A156760 15.6078 [-(x-4)/(4*x-1)/(x-1) ogf] A156760 16.0381 [-1/2*(-4-5*x+(16+36*x+9*x^2)^(1/2))/(4*x+1) revogf] A156760 18.6388 [-(19-32*x+4*x^2)/(x-1)/(-1+4*x)/(x-4) lgdogf] A156760 7.98125 [(63*f(x)+109)*(4*f(x)*x^2-5*f(x)*x+f(x)+x-4) ogf] A156760 8.46204 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=4,a(1)=19} ogf] A156771 13.4714 [-(-59*x-103)/(-59*x^2+37*x+22) lgdogf] A156771 14.8460 [9*(59*x+22)/(x-1)^2 ogf] A156771 20.3749 [-(-99-x+9*(121+9*x)^(1/2))/(-531+x) revogf] A156771 26.4119 [-(103+59*x)/(59*x+22)/(x-1) lgdogf] A156771 7.82209 [(18*f(x)+7045)*(f(x)*x^2-2*f(x)*x+f(x)-531*x-198) ogf] A156771 8.45878 [{-a(n+2)+2*a(n+1)-a(n),a(0)=198,a(1)=927} ogf] A156772 13.6041 [-(22*x+140)/(22*x^2+37*x-59) lgdogf] A156772 14.9923 [9*(22*x+59)/(x-1)^2 ogf] A156772 16.3702 [-1/2*(-531-2*x+9*(3481+36*x)^(1/2))/(-198+x) revogf] A156772 25.7246 [-2*(70+11*x)/(22*x+59)/(x-1) lgdogf] A156772 7.98501 [(9*f(x)+5021)*(f(x)*x^2-2*f(x)*x+f(x)-198*x-531) ogf] A156772 8.44393 [{-a(n+2)+2*a(n+1)-a(n),a(0)=531,a(1)=1260} ogf] A156773 12.4032 [-(485+19280*x+19601*x^2)/(x-1)/(19601*x^2-9961*x+3482) lgdogf] A156773 5.06001 [(970596*f(x)-4932434647)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19601*x^2-f(x)-9961*x+3482) ogf] A156773 5.64546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3482,a(1)=485,a(2)=10610} ogf] A156773 7.67529 [-(-19601*x^2-19280*x-485)/(-19601*x^3+29562*x^2-13443*x+3482) lgdogf] A156773 9.62114 [-(19601*x^2-9961*x+3482)/(x-1)^3 ogf] A156774 12.2383 [-2*(1741+12637*x+5305*x^2)/(x-1)/(10610*x^2+2027*x+485) lgdogf] A156774 5.01047 [(11326500*f(x)-45996859489)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10610*x^2-f(x)+2027*x+485) ogf] A156774 5.67300 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=485,a(1)=3482,a(2)=19601} ogf] A156774 7.89003 [-(-10610*x^2-25274*x-3482)/(-10610*x^3+8583*x^2+1542*x+485) lgdogf] A156774 9.80619 [-(10610*x^2+2027*x+485)/(x-1)^3 ogf] A156795 15.0856 [-(-59*x-103)/(-59*x^2+37*x+22) lgdogf] A156795 17.3324 [(59*x+22)/(x-1)^2 ogf] A156795 24.2242 [-(-11-x+(121+81*x)^(1/2))/(-59+x) revogf] A156795 29.6074 [-(103+59*x)/(59*x+22)/(x-1) lgdogf] A156795 8.85463 [(162*f(x)+7045)*(f(x)*x^2-2*f(x)*x+f(x)-59*x-22) ogf] A156795 9.58382 [{-a(n+2)+2*a(n+1)-a(n),a(0)=22,a(1)=103} ogf] A156796 14.7163 [-(22*x+140)/(22*x^2+37*x-59) lgdogf] A156796 16.9081 [(22*x+59)/(x-1)^2 ogf] A156796 19.0132 [-1/2*(-59-2*x+(3481+324*x)^(1/2))/(-22+x) revogf] A156796 27.8408 [-2*(70+11*x)/(22*x+59)/(x-1) lgdogf] A156796 8.73275 [(81*f(x)+5021)*(f(x)*x^2-2*f(x)*x+f(x)-22*x-59) ogf] A156796 9.34918 [{-a(n+2)+2*a(n+1)-a(n),a(0)=59,a(1)=140} ogf] A156797 10.0294 [-(-22*x^3-96*x^2-147*x-59)/(-22*x^4-37*x^3+37*x+22) lgdogf] A156797 12.6935 [(22*x^2+37*x+22)/(x+1)/(x-1)^2 ogf] A156797 14.7589 [-(59+147*x+96*x^2+22*x^3)/(x-1)/(x+1)/(22*x^2+37*x+22) lgdogf] A156797 6.82673 [(765*f(x)-9667)*(f(x)*x^3-f(x)*x^2-f(x)*x-22*x^2+f(x)-37*x-22) ogf] A156797 7.00329 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=22,a(1)=59,a(2)=103} ogf] A156798 12.0135 [-5*(1+2*x+x^4+6*x^2+2*x^3)/(x-1)/(5*x^4-5*x^3+15*x^2-5*x+2) lgdogf] A156798 7.08729 [-(-5*x^4-10*x^3-30*x^2-10*x-5)/(-5*x^5+10*x^4-20*x^3+20*x^2-7*x+2) lgdogf] A156798 7.30206 [-2*(5*x^4-5*x^3+15*x^2-5*x+2)/(x-1)^5 ogf] A156810 11.4741 [-2*(273*x^2-83*x+35)/(x-1)^3 ogf] A156810 17.2807 [-(22+380*x+273*x^2)/(x-1)/(273*x^2-83*x+35) lgdogf] A156810 5.5683 [(1581170625*f(x)-238261363966)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+546*x^2-f(x)-166*x+70) ogf] A156810 6.52836 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=70,a(1)=44,a(2)=468} ogf] A156810 9.96434 [-(-273*x^2-380*x-22)/(-273*x^3+356*x^2-118*x+35) lgdogf] A156812 10.0972 [-(-234*x^2-406*x-35)/(-234*x^3+265*x^2-53*x+22) lgdogf] A156812 11.6506 [-2*(234*x^2-31*x+22)/(x-1)^3 ogf] A156812 17.2807 [-(35+406*x+234*x^2)/(x-1)/(234*x^2-31*x+22) lgdogf] A156812 5.52766 [-(557533125*f(x)-79281780274)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+468*x^2-f(x)-62*x+44) ogf] A156812 6.52836 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=44,a(1)=70,a(2)=546} ogf] A156813 13.1156 [-2*(113*x+112)/(x-1)^3 ogf] A156813 13.3498 [-(226*x+449)/(113*x^2-x-112) lgdogf] A156813 24.4494 [-(449+226*x)/(113*x+112)/(x-1) lgdogf] A156813 5.79526 [(18870013125*f(x)-5768462321782)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+226*x+224) ogf] A156813 6.28225 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=224,a(1)=898,a(2)=2022} ogf] A156814 13.1156 [-2*(112*x+113)/(x-1)^3 ogf] A156814 13.3498 [-(224*x+451)/(112*x^2+x-113) lgdogf] A156814 5.84053 [(5409331875*f(x)-1657331072998)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+224*x+226) ogf] A156814 6.28225 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=226,a(1)=902,a(2)=2028} ogf] A156821 2.99573 [(f(x)*x-f(x)+2)^2 ogf] A156822 3.21652 [-(f(x)-4)*(f(x)*x-f(x)+2)^2 ogf] A156840 10.0737 [(x^4+198*x^3+52*x^2+198*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A156840 7.60442 [-(-251-647*x+x^7-3*x^6-595*x^5-407*x^4-455*x^2-1243*x^3)/(x-1)/(x+1)/(x^2+1)/(x^4-2*x^3-198*x^2-52*x-199) lgdogf] A156841 11.1782 [-(887*x^2+125*x+46)/(x-1)^3 ogf] A156841 15.7343 [-(263+2024*x+887*x^2)/(x-1)/(887*x^2+125*x+46) lgdogf] A156841 5.15918 [(4836063286588*f(x)-1581080896928623)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+887*x^2-f(x)+125*x+46) ogf] A156841 6.25224 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=46,a(1)=263,a(2)=1538} ogf] A156841 9.58135 [-(-887*x^2-2024*x-263)/(-887*x^3+762*x^2+79*x+46) lgdogf] A156842 10.7648 [-(263*x^2+749*x+46)/(x-1)^3 ogf] A156842 14.5128 [-2*(23+795*x+769*x^2)/(x-1)/(1538*x^2-743*x+263) lgdogf] A156842 4.93386 [(10009029391804*f(x)-4466980096173919)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+263*x^2-f(x)+749*x+46) ogf] A156842 6.02099 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=46,a(1)=887,a(2)=2786} ogf] A156842 9.10868 [-(263*x^2+2024*x+887)/(263*x^3+486*x^2-703*x-46) lgdogf] A156843 10.0133 [-6*(23188+178449*x+78204*x^2)/(x-1)/(469224*x^2+66123*x+24335) lgdogf] A156843 4.36807 [(179252708*f(x)-31001519780005)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+469224*x^2-f(x)+66123*x+24335) ogf] A156843 5.02674 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24335,a(1)=139128,a(2)=813603} ogf] A156843 6.46295 [-(-469224*x^2-1070694*x-139128)/(-469224*x^3+403101*x^2+41788*x+24335) lgdogf] A156843 8.55904 [-(469224*x^2+66123*x+24335)/(x-1)^3 ogf] A156844 4.07266 [(2102294668*f(x)-496329490087511)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+139128*x^2-f(x)+396219*x+24335) ogf] A156844 4.74609 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24335,a(1)=469224,a(2)=1473795} ogf] A156844 8.03671 [-(139128*x^2+396219*x+24335)/(x-1)^3 ogf] A156844 9.37125 [-(24335+841108*x+813603*x^2)/(x-1)/(813603*x^2-393049*x+139128) lgdogf] A156845 12.4926 [-(-373*x-685)/(-373*x^2+217*x+156) lgdogf] A156845 14.2073 [23*(373*x+156)/(x-1)^2 ogf] A156845 17.3375 [-(-1794-x+23*(6084+23*x)^(1/2))/(-8579+x) revogf] A156845 23.6945 [-(685+373*x)/(373*x+156)/(x-1) lgdogf] A156845 7.46981 [(46*f(x)+304177)*(f(x)*x^2-2*f(x)*x+f(x)-8579*x-3588) ogf] A156845 8.14126 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3588,a(1)=15755} ogf] A156846 12.4926 [-(156*x+902)/(156*x^2+217*x-373) lgdogf] A156846 14.2073 [23*(156*x+373)/(x-1)^2 ogf] A156846 14.5069 [-1/2*(-8579-2*x+23*(139129+92*x)^(1/2))/(-3588+x) revogf] A156846 22.9302 [-2*(451+78*x)/(156*x+373)/(x-1) lgdogf] A156846 7.46981 [(23*f(x)+209485)*(f(x)*x^2-2*f(x)*x+f(x)-3588*x-8579) ogf] A156846 8.14126 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8579,a(1)=20746} ogf] A156849 11.0666 [(156*x^2+217*x+156)/(x+1)/(x-1)^2 ogf] A156849 12.1118 [-(373+997*x+590*x^2+156*x^3)/(x-1)/(x+1)/(156*x^2+217*x+156) lgdogf] A156849 5.83831 [(24827*f(x)-7990165)*(f(x)*x^3-f(x)*x^2-f(x)*x-156*x^2+f(x)-217*x-156) ogf] A156849 6.28360 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=156,a(1)=373,a(2)=685} ogf] A156849 8.42574 [-(156*x^3+590*x^2+997*x+373)/(156*x^4+217*x^3-217*x-156) lgdogf] A156853 10.1019 [-2*(26*x^2+1285*x+714)/(x-1)^3 ogf] A156853 14.0304 [-(714+3998*x+1363*x^2)/(x-1)/(1363*x^2+636*x+26) lgdogf] A156853 4.70499 [(4766226148125*f(x)-12012555313401566)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+52*x^2-f(x)+2570*x+1428) ogf] A156853 5.63057 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1428,a(1)=6854,a(2)=16330} ogf] A156853 8.69530 [-(26*x^2+2622*x+3427)/(26*x^3+1259*x^2-571*x-714) lgdogf] A156854 10.4037 [-2*(714*x^2+1285*x+26)/(x-1)^3 ogf] A156854 14.1601 [-(26+2622*x+3427*x^2)/(x-1)/(3427*x^2-2116*x+714) lgdogf] A156854 4.81258 [(58206284656875*f(x)-89846507172469682)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1428*x^2-f(x)+2570*x+52) ogf] A156854 5.94496 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=52,a(1)=2726,a(2)=9450} ogf] A156854 8.84312 [-(714*x^2+3998*x+1363)/(714*x^3+571*x^2-1259*x-26) lgdogf] A156855 12.0176 [-(2026*x+4049)/(1013*x^2-x-1012) lgdogf] A156855 12.2213 [-2*(1013*x+1012)/(x-1)^3 ogf] A156855 20.8073 [-(2026*x+4049)/(1012+1013*x)/(x-1) lgdogf] A156855 5.15038 [(123988715938125*f(x)-341464777770805882)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2026*x+2024) ogf] A156855 5.91028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2024,a(1)=8098,a(2)=18222} ogf] A156856 12.0176 [-(2024*x+4051)/(1012*x^2+x-1013) lgdogf] A156856 12.2213 [-2*(1012*x+1013)/(x-1)^3 ogf] A156856 20.8073 [-(4051+2024*x)/(1012*x+1013)/(x-1) lgdogf] A156856 5.15038 [(248068773298125*f(x)-683352035586529186)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+2024*x+2026) ogf] A156856 5.91028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2026,a(1)=8102,a(2)=18228} ogf] A156857 10.2648 [(2*x+1)/(4*x^2+x+1)^2 ogf] A156857 10.2648 [-(24*x^2+18*x)/(8*x^3+6*x^2+3*x+1) lgdogf] A156857 21.0456 [-6*x*(3+4*x)/(2*x+1)/(4*x^2+x+1) lgdogf] A156857 4.85816 [-(963*f(x)+1688)*(16*f(x)*x^4+8*f(x)*x^3+9*f(x)*x^2+2*f(x)*x+f(x)-2*x-1) ogf] A156859 12.8843 [-(-3*x^2-14*x-7)/(-x^3-3*x^2+x+3) lgdogf] A156859 14.6926 [-x*(x+3)/(x+1)/(x-1)^3 ogf] A156859 24.2848 [-(7+14*x+3*x^2)/(-1+x)/(3+x)/(x+1) lgdogf] A156859 4.25117 [{(-9-3*n)*a(n+4)+(5-n)*a(n+3)+(17+3*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=3,a(2)=7,a(3)=14} ogf] A156859 7.28242 [(10080*f(x)-36067)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+x^2-f(x)+3*x) ogf] A156863 10.7954 [-11*(1+88*x+484*x^2)/(22*x+1)/(22*x-1)/(11*x+1) lgdogf] A156863 11.7835 [-(11*x+1)/(22*x-1)/(22*x+1) ogf] A156863 12.0806 [1/22*(-1+(1+44*x+1936*x^2)^(1/2))/(1+44*x) revogf] A156863 6.82203 [-(-5324*x^2-968*x-11)/(-5324*x^3-484*x^2+11*x+1) lgdogf] A156863 7.20103 [(20*f(x)-19)*(484*f(x)*x^2-f(x)+11*x+1) ogf] A156863 7.73842 [{-a(n+2)+484*a(n),a(0)=1,a(1)=11} ogf] A156865 10.4055 [-(-3401*x-4699)/(-3401*x^2+2752*x+649) lgdogf] A156865 11.7299 [180*(3401*x+649)/(x-1)^2 ogf] A156865 13.7485 [-(-58410-x+90*(421201+90*x)^(1/2))/(-612180+x) revogf] A156865 19.1646 [-(4699+3401*x)/(3401*x+649)/(x-1) lgdogf] A156865 6.26354 [(45*f(x)+16823701)*(f(x)*x^2-2*f(x)*x+f(x)-612180*x-116820) ogf] A156865 7.01243 [{-a(n+2)+2*a(n+1)-a(n),a(0)=116820,a(1)=845820} ogf] A156866 10.6803 [-(649*x+7451)/(649*x^2+2752*x-3401) lgdogf] A156866 11.8455 [180*(649*x+3401)/(x-1)^2 ogf] A156866 13.0365 [-(-306090-x+90*(11566801+90*x)^(1/2))/(-116820+x) revogf] A156866 19.9621 [-(7451+649*x)/(649*x+3401)/(x-1) lgdogf] A156866 6.32525 [(45*f(x)+27969301)*(f(x)*x^2-2*f(x)*x+f(x)-116820*x-612180) ogf] A156866 7.00538 [{-a(n+2)+2*a(n+1)-a(n),a(0)=612180,a(1)=1341180} ogf] A156867 11.4298 [-(x+8099)/(x^2+4048*x-4049) lgdogf] A156867 12.5288 [180*(x+4049)/(x-1)^2 ogf] A156867 13.8867 [-(-364410-x+90*(16394401+90*x)^(1/2))/(-180+x) revogf] A156867 26.6162 [-(8099+x)/(x+4049)/(x-1) lgdogf] A156867 6.51501 [(45*f(x)+32796901)*(f(x)*x^2-2*f(x)*x+f(x)-180*x-728820) ogf] A156867 7.00538 [{-a(n+2)+2*a(n+1)-a(n),a(0)=728820,a(1)=1457820} ogf] A156868 11.4298 [-(-x+8101)/(-x^2+4052*x-4051) lgdogf] A156868 12.5288 [-180*(x-4051)/(x-1)^2 ogf] A156868 16.8102 [-(-90-x+90*(1+90*x)^(1/2))/(-728820+x) revogf] A156868 20.6061 [-(4051+4049*x)/(4049*x+1)/(x-1) lgdogf] A156868 6.51501 [(45*f(x)+32813101)*(f(x)*x^2-2*f(x)*x+f(x)+180*x-729180) ogf] A156868 7.00538 [{-a(n+2)+2*a(n+1)-a(n),a(0)=729180,a(1)=1458180} ogf] A156872 6.27218 [-(-3+2*x+9*x^8+15*x^6+6*x^5-4*x^7-4*x^3+2*x^9-9*x^2)/(x^2+1)/(x^4+3*x^3-x^2+3*x+1)/(x^4-x^2+1) lgdogf] A156872 7.11785 [(x^4+3*x^3-x^2+3*x+1)/(x^2+1)/(x^4-x^2+1) ogf] A156894 5.30146 [-4*f(x)^3*x^2+71*f(x)^3*x+4*f(x)^2*x^2-8*f(x)^3-71*f(x)^2*x-f(x)*x^2+8*f(x)^2+28*f(x)*x-4*x ogf] A156906 4.08784 [{-4*a(n)*n-4*a(n+1)*n+(-n-3)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A156906 5.96298 [-f(x)^2*x^2-2*f(x)^2*x+2*f(x)*x^2-f(x)^2+3*f(x)*x+f(x)-x ogf] A156922 5.29372 [-(3*x+1)*(2*x-1)/(5*x-1)/(3*x-1)^2/(x-1)^3 ogf] A156922 6.74768 [-3*(-5+29*x+120*x^4-93*x^3-19*x^2)/(x-1)/(3*x-1)/(2*x-1)/(3*x+1)/(5*x-1) lgdogf] A156928 15.6389 [-(-7+7*x+8*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A156928 7.89286 [-(x+1)/(2*x-1)/(x-1)^4 ogf] A156928 8.75614 [-(8*x^2+7*x-7)/(2*x^3-x^2-2*x+1) lgdogf] A156934 12.6019 [-4*(-2+3*x+3*x^2)/(-1+x)/(-1+3*x)/(x+1) lgdogf] A156934 6.99778 [-(x+1)/(3*x-1)/(x-1)^4 ogf] A156934 7.63394 [-(12*x^2+12*x-8)/(3*x^3-x^2-3*x+1) lgdogf] A157002 10.8429 [-f(x)^2*x^2-f(x)^2*x+f(x)+x-1 ogf] A157002 17.2591 [1/2+1/2*x^2-1/2*(1+6*x^2+x^4-4*x)^(1/2) revogf] A157002 9.48751 [1/2*x^2+1/2-1/2*(x^4+6*x^2-4*x+1)^(1/2) revogf] A157003 10.8817 [1/2/x^2-1/2*(4*x^4-4*x^3+1)^(1/2)/x^2 revogf] A157003 11.8039 [-f(x)^2*x^3+f(x)^2*x-f(x)+1 ogf] A157003 19.5172 [-1/2*(-1+(1-4*x^3+4*x^4)^(1/2))/x^2 revogf] A157004 12.0089 [-(6*x^2-2)/(4*x^3-4*x+1) lgdogf] A157004 22.6514 [-2*(-1+3*x^2)/(1-4*x+4*x^3) lgdogf] A157004 3.78462 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(-10-4*n)*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=18} ogf] A157004 9.91209 [-4*f(x)^2*x^3+4*f(x)^2*x-f(x)^2+1 ogf] A157010 10.5037 [-(85*x^2+2267*x+1010)/(x-1)^3 ogf] A157010 14.5968 [-(5297+4704*x+85*x^2)/(x-1)/(85*x^2+2267*x+1010) lgdogf] A157010 4.73014 [(1581347567026300*f(x)-3179103121322738717)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+85*x^2-f(x)+2267*x+1010) ogf] A157010 5.85452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1010,a(1)=5297,a(2)=12946} ogf] A157010 8.81793 [-(85*x^2+4704*x+5297)/(85*x^3+2182*x^2-1257*x-1010) lgdogf] A157014 10.2241 [-(-x^2+2*x-21)/(-x^3+23*x^2-23*x+1) lgdogf] A157014 14.8917 [-(x-1)/(x^2-22*x+1) ogf] A157014 7.36579 [-(460*f(x)-19)*(f(x)*x^2-22*f(x)*x+f(x)+x-1) ogf] A157014 8.15498 [{a(n+2)-22*a(n+1)+a(n),a(0)=1,a(1)=21} ogf] A157022 8.90239 [(x+1)*(x^2+x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^4+1)/(x^8-x^4+1) ogf] A157024 13.5630 [-6*(x+1)*(2*x^2+23*x+2)/(x-1)/(x^4+8*x^3+63*x^2+8*x+1) lgdogf] A157024 5.28657 [(1125*f(x)+25012)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-8*x^3-4*f(x)*x-63*x^2+f(x)-8*x-1) ogf] A157024 7.77733 [-(-12*x^3-150*x^2-150*x-12)/(-x^5-7*x^4-55*x^3+55*x^2+7*x+1) lgdogf] A157024 8.68167 [(x^4+8*x^3+63*x^2+8*x+1)/(x-1)^4 ogf] A157027 5.11862 [{-a(n+4)+676*a(n+2),a(0)=1,a(1)=13,a(2)=676,a(3)=4394} ogf] A157027 6.4137 [(52*f(x)+11)*(676*f(x)*x^2-4394*x^3-f(x)+13*x+1) ogf] A157027 6.94996 [13*(1+104*x-338*x^2+228488*x^4)/(26*x-1)/(13*x-1)/(26*x+1)/(338*x^2+26*x+1) lgdogf] A157027 9.67885 [(13*x-1)*(338*x^2+26*x+1)/(26*x-1)/(26*x+1) ogf] A157040 12.4969 [-(123*x+119)/(x-1)^3 ogf] A157040 12.7201 [-(246*x+480)/(123*x^2-4*x-119) lgdogf] A157040 23.2740 [-6*(80+41*x)/(123*x+119)/(x-1) lgdogf] A157040 5.5219 [(16759201316*f(x)-2746819796725)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+123*x+119) ogf] A157040 5.98592 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=119,a(1)=480,a(2)=1083} ogf] A157052 13.4527 [-(9+20*x+3*x^4+26*x^2+12*x^3)/(x-1)/(x^4+2*x^3+4*x^2+2*x+1) lgdogf] A157052 4.69590 [{(n^2+7*n+12)*a(n+1)+(42+12*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=18,a(2)=92} ogf] A157052 7.14773 [-2*(x^4+2*x^3+4*x^2+2*x+1)/(x-1)^7 ogf] A157052 8.15853 [-(-3*x^4-12*x^3-26*x^2-20*x-9)/(-x^5-x^4-2*x^3+2*x^2+x+1) lgdogf] A157053 4.39890 [{(n^2+7*n+12)*a(n+1)+(56+16*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=24,a(2)=162} ogf] A157053 5.00664 [-2*(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x-1)^9 ogf] A157053 8.89929 [-3*(4+14*x+6*x^5+20*x^4+30*x^2+30*x^3+x^6)/(x-1)/(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1) lgdogf] A157054 3.85075 [-2*(x^8+4*x^7+16*x^6+24*x^5+36*x^4+24*x^3+16*x^2+4*x+1)/(x-1)^11 ogf] A157054 4.36270 [{(n^2+7*n+12)*a(n+1)+(70+20*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=30,a(2)=252} ogf] A157054 6.33815 [-3*(5+24*x+80*x^5+124*x^4+72*x^2+112*x^3+36*x^6+8*x^7+x^8)/(x-1)/(x^8+4*x^7+16*x^6+24*x^5+36*x^4+24*x^3+16*x^2+4*x+1) lgdogf] A157055 4.48224 [{(n^2+7*n+12)*a(n+1)+(84+24*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=36,a(2)=362} ogf] A157056 4.46550 [{(n^2+7*n+12)*a(n+1)+(98+28*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=42,a(2)=492} ogf] A157057 4.38352 [{(n^2+7*n+12)*a(n+1)+(112+32*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=48,a(2)=642} ogf] A157058 4.23471 [{(n^2+7*n+12)*a(n+1)+(126+36*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=54,a(2)=812} ogf] A157059 4.09783 [{(n^2+7*n+12)*a(n+1)+(140+40*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=60,a(2)=1002} ogf] A157060 3.24730 [{(n^2+7*n+12)*a(n+1)+(154+44*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=66,a(2)=1212} ogf] A157061 4.03617 [{(n^2+7*n+12)*a(n+1)+(168+48*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=72,a(2)=1442} ogf] A157062 4.17534 [{(n^2+7*n+12)*a(n+1)+(182+52*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=78,a(2)=1692} ogf] A157063 3.90301 [{(n^2+7*n+12)*a(n+1)+(196+56*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=84,a(2)=1962} ogf] A157064 3.97148 [{(n^2+7*n+12)*a(n+1)+(210+60*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=90,a(2)=2252} ogf] A157065 4.03995 [{(n^2+7*n+12)*a(n+1)+(224+64*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=96,a(2)=2562} ogf] A157066 4.13615 [{(n^2+7*n+12)*a(n+1)+(238+68*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=102,a(2)=2892} ogf] A157067 3.83112 [{(n^2+7*n+12)*a(n+1)+(252+72*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=108,a(2)=3242} ogf] A157068 3.88131 [{(n^2+7*n+12)*a(n+1)+(266+76*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=114,a(2)=3612} ogf] A157069 3.93149 [{(n^2+7*n+12)*a(n+1)+(280+80*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=120,a(2)=4002} ogf] A157070 3.99841 [{(n^2+7*n+12)*a(n+1)+(294+84*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=126,a(2)=4412} ogf] A157071 4.04860 [{(n^2+7*n+12)*a(n+1)+(308+88*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=132,a(2)=4842} ogf] A157072 4.06534 [{(n^2+7*n+12)*a(n+1)+(322+92*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=138,a(2)=5292} ogf] A157073 3.74434 [{(n^2+7*n+12)*a(n+1)+(336+96*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=144,a(2)=5762} ogf] A157074 3.78851 [{(n^2+7*n+12)*a(n+1)+(350+100*n)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=2,a(1)=150,a(2)=6252} ogf] A157078 4.05083 [(153300502125*f(x)-3833450868551649406)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+23133601*x^2-f(x)+41633998*x+842401) ogf] A157078 4.87941 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=842401,a(1)=44161201,a(2)=153090001} ogf] A157078 8.05102 [-(23133601*x^2+41633998*x+842401)/(x-1)^3 ogf] A157079 3.87622 [(41245648875*f(x)-1684045801744873442)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+842401*x^2-f(x)+41633998*x+23133601) ogf] A157079 4.53662 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23133601,a(1)=111034801,a(2)=264546001} ogf] A157079 7.65555 [-(842401*x^2+41633998*x+23133601)/(x-1)^3 ogf] A157080 3.3633 [(326554642125*f(x)-14569163436497304656)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+32821198*x+32788801) ogf] A157080 3.86156 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32788801,a(1)=131187601,a(2)=295196401} ogf] A157080 6.95081 [-(x^2+32821198*x+32788801)/(x-1)^3 ogf] A157081 3.95125 [(653349854250*f(x)-29156352687719539313)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+32788798*x+32821201) ogf] A157081 4.53662 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32821201,a(1)=131252401,a(2)=295293601} ogf] A157081 6.31386 [-(x^2+65577598*x+131252401)/(x^3+32788797*x^2+32403*x-32821201) lgdogf] A157081 8.16592 [-(x^2+32788798*x+32821201)/(x-1)^3 ogf] A157084 4.05442 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=0,a(1)=10,a(2)=108} ogf] A157084 4.43692 [-f(x)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x-2*x^2-f(x)+10*x) ogf] A157084 7.83855 [2*x*(x-5)/(x-1)/(x^2-10*x+1) ogf] A157084 9.42476 [-2*(-27+55*x+x^3-13*x^2)/(x-5)/(x-1)/(x^2-10*x+1) lgdogf] A157085 4.74317 [(1089*f(x)-16)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+2*x^2-f(x)-8*x+2) ogf] A157085 4.74317 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=2,a(1)=14,a(2)=134} ogf] A157085 8.80875 [-2*(x^2-4*x+1)/(x-1)/(x^2-10*x+1) ogf] A157085 9.36879 [-(7-20*x+36*x^2-8*x^3+x^4)/(-1+x)/(x^2-4*x+1)/(x^2-10*x+1) lgdogf] A157088 3.99158 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=0,a(1)=21,a(2)=312} ogf] A157088 4.36814 [-f(x)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-3*x^2-f(x)+21*x) ogf] A157088 7.71705 [3*x*(x-7)/(x-1)/(x^2-14*x+1) ogf] A157088 9.09410 [-2*(-52+105*x+x^3-18*x^2)/(x-1)/(x-7)/(x^2-14*x+1) lgdogf] A157089 4.51393 [(3901*f(x)-52)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+3*x^2-f(x)-18*x+3) ogf] A157089 4.55250 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=3,a(1)=27,a(2)=363} ogf] A157089 8.32255 [-3*(x^2-6*x+1)/(x-1)/(x^2-14*x+1) ogf] A157092 12.3176 [4*x*(x-9)/(x-1)/(x^2-18*x+1) ogf] A157092 6.37116 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=0,a(1)=36,a(2)=680} ogf] A157092 6.97221 [-f(x)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-4*x^2-f(x)+36*x) ogf] A157092 8.21171 [-(2*x^3-46*x^2+342*x-170)/(x^4-28*x^3+190*x^2-172*x+9) lgdogf] A157092 8.38965 [-2*(-85+171*x+x^3-23*x^2)/(-1+x)/(x-9)/(x^2-18*x+1) lgdogf] A157093 4.2282 [(55241*f(x)-624)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+4*x^2-f(x)-32*x+4) ogf] A157093 4.33662 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=4,a(1)=44,a(2)=764} ogf] A157093 7.92788 [-4*(x^2-8*x+1)/(x-1)/(x^2-18*x+1) ogf] A157093 8.27156 [-(11-36*x-16*x^3+x^4+136*x^2)/(x-1)/(x^2-8*x+1)/(x^2-18*x+1) lgdogf] A157096 11.6578 [5*x*(x-11)/(x-1)/(x^2-22*x+1) ogf] A157096 5.97838 [{-a(n+3)+23*a(n+2)-23*a(n+1)+a(n),a(0)=0,a(1)=55,a(2)=1260} ogf] A157096 6.59877 [-f(x)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x-5*x^2-f(x)+55*x) ogf] A157096 7.68648 [-(2*x^3-56*x^2+506*x-252)/(x^4-34*x^3+276*x^2-254*x+11) lgdogf] A157096 8.80116 [-2*(-126+253*x+x^3-28*x^2)/(x-11)/(x-1)/(x^2-22*x+1) lgdogf] A157097 4.4316 [(177759*f(x)-1720)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x+5*x^2-f(x)-50*x+5) ogf] A157100 10.4107 [f(x)^2*x^2-f(x)^2*x+f(x)-x-1 ogf] A157100 13.9715 [-1/2+1/2*x^2+1/2*((x-1)*(x^3+x^2-5*x-1))^(1/2) revogf] A157100 9.10933 [1/2*x^2-1/2+1/2*(x^4-6*x^2+4*x+1)^(1/2) revogf] A157105 10.5150 [-(378*x+2984)/(378*x^2+925*x-1303) lgdogf] A157105 11.6833 [82*(378*x+1303)/(x-1)^2 ogf] A157105 13.4353 [-(-53423-x+41*(1697809+82*x)^(1/2))/(-30996+x) revogf] A157105 18.1772 [-2*(1492+189*x)/(378*x+1303)/(x-1) lgdogf] A157105 6.24653 [(41*f(x)+4523570)*(f(x)*x^2-2*f(x)*x+f(x)-30996*x-106846) ogf] A157105 6.85761 [{-a(n+2)+2*a(n+1)-a(n),a(0)=106846,a(1)=244688} ogf] A157106 3.91162 [(235179593937*f(x)-1589551823289051475)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+285769*x^2-f(x)+7621656*x+3395619) ogf] A157106 4.65246 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3395619,a(1)=17808513,a(2)=43524451} ogf] A157106 7.87340 [-(285769*x^2+7621656*x+3395619)/(x-1)^3 ogf] A157106 8.48087 [-(17808513+15814850*x+285769*x^2)/(-1+x)/(285769*x^2+7621656*x+3395619) lgdogf] A157110 10.7565 [-(1010*x^2+2267*x+85)/(x-1)^3 ogf] A157110 14.0726 [-2*(1261+3277*x+505*x^2)/(x-1)/(1010*x^2+2267*x+85) lgdogf] A157110 4.87626 [(948633682125100*f(x)-1275296520417614467)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1010*x^2-f(x)+2267*x+85) ogf] A157110 6.14655 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=85,a(1)=2522,a(2)=8321} ogf] A157110 8.81253 [-(1010*x^2+6554*x+2522)/(1010*x^3+1257*x^2-2182*x-85) lgdogf] A157111 10.7891 [-(-1303*x-2059)/(-1303*x^2+925*x+378) lgdogf] A157111 12.1877 [82*(1303*x+378)/(x-1)^2 ogf] A157111 6.51619 [(41*f(x)+2968645)*(f(x)*x^2-2*f(x)*x+f(x)-106846*x-30996) ogf] A157111 7.23226 [{-a(n+2)+2*a(n+1)-a(n),a(0)=30996,a(1)=168838} ogf] A157112 4.23845 [(2239392899*f(x)-10121402580975875)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3395619*x^2-f(x)+7621656*x+285769) ogf] A157112 4.98833 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=285769,a(1)=8478963,a(2)=27975201} ogf] A157112 6.11776 [-(3395619*x^2+22034550*x+8478963)/(3395619*x^3+4226037*x^2-7335887*x-285769) lgdogf] A157112 8.31388 [-(3395619*x^2+7621656*x+285769)/(x-1)^3 ogf] A157116 11.0180 [(14*x+27)*(27*x+14)/(x+1)/(x-1)^2 ogf] A157116 11.4900 [-(1303+2815*x+2228*x^2+378*x^3)/(x-1)/(14*x+27)/(27*x+14)/(x+1) lgdogf] A157116 5.55041 [-(321089*f(x)+11079809)*(f(x)*x^3-f(x)*x^2-f(x)*x-378*x^2+f(x)-925*x-378) ogf] A157116 6.15171 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=378,a(1)=1303,a(2)=2059} ogf] A157116 8.11214 [-(-378*x^3-2228*x^2-2815*x-1303)/(-378*x^4-925*x^3+925*x+378) lgdogf] A157119 6.43470 [x*(48*x^5+7*x^4+48*x^3-204*x^2-21*x-84)/(x-1)/(x^6-6*x^3+1) ogf] A157120 7.88630 [-(x-1)*(73*x^4+176*x^3+381*x^2+176*x+73)/(x^6-6*x^3+1) ogf] A157126 7.79805 [-(-2-6*x-6*x^5+7*x^4+16*x^3+10*x^6+4*x^7-3*x^8+x^10-9*x^2)/(x+1)/(x^4-x^3+3*x-1)/(x^6+4*x^3+1) lgdogf] A157126 9.34882 [-(x+1)*(x^4-x^3+3*x-1)/(x^6+4*x^3+1) ogf] A157128 7.65860 [-(x^5-x^3+x^2+x-1)/(x+1)^2/(x^2-x+1)^2 ogf] A157128 9.65161 [-(-1-2*x-3*x^5+x^7-x^4+5*x^3-3*x^2)/(x+1)/(x^2-x+1)/(x^5-x^3+x^2+x-1) lgdogf] A157142 11.6013 [f(x)*x^2+2*f(x)*x+f(x)+x-1 ogf] A157142 16.2418 [-(x-1)/(x+1)^2 ogf] A157142 16.6109 [-(-x+3)/(-x^2+1) lgdogf] A157142 25.2239 [-1/2*(-1+2*x+(1-8*x)^(1/2))/(1+x) revogf] A157142 34.6547 [[-3+2*x] ogf_with_Euler_transform] A157142 46.2439 [-(x-3)/(x-1)/(x+1) lgdogf] A157142 8.91316 [{a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=-3} ogf] A157144 4.08191 [-(x^11+3*x^8+x^6+9*x^5-2*x^4+3*x^2+2*x-1)/(x^12+3*x^9+8*x^6+3*x^3+1) ogf] A157176 10.6653 [-(8*x^5+5*x^4+3*x^3+2*x^2+2*x+1)/(2*x^2-1)/(4*x^4+2*x^2+1) ogf] A157176 5.91879 [-(2+4*x+48*x^5+40*x^4+20*x^3+80*x^6+64*x^7+72*x^8+64*x^10+9*x^2+80*x^9)/(2*x^2-1)/(4*x^4+2*x^2+1)/(8*x^5+5*x^4+3*x^3+2*x^2+2*x+1) lgdogf] A157194 10.6922 [-(-2*x^2-82*x-43)/(-2*x^3-43*x^2-39*x+41) lgdogf] A157194 16.0383 [-(2*x+41)/(x^2+x-1) ogf] A157194 17.6531 [1/2/(x+2)*(-41-x+(1681+90*x+5*x^2)^(1/2)) revogf] A157194 20.6794 [-(43+82*x+2*x^2)/(2*x+41)/(x^2+x-1) lgdogf] A157194 7.76593 [-(125*f(x)-3276)*(f(x)*x^2+f(x)*x-f(x)+2*x+41) ogf] A157194 8.78290 [{-a(n+2)+a(n+1)+a(n),a(0)=41,a(1)=43} ogf] A157213 7.51167 [-(x-1)*(97*x^4+234*x^3+511*x^2+234*x+97)/(x^6-6*x^3+1) ogf] A157240 10.2036 [-(8*x^2-7*x+2)/(x-1)/(4*x^2-2*x+1) ogf] A157240 10.3099 [-(-1-8*x+42*x^2-56*x^3+32*x^4)/(x-1)/(4*x^2-2*x+1)/(8*x^2-7*x+2) lgdogf] A157240 5.55732 [{-a(n+3)+3*a(n+2)-6*a(n+1)+4*a(n),a(0)=2,a(1)=-1,a(2)=-7} ogf] A157240 6.99347 [4*f(x)*x^3-6*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-7*x+2 ogf] A157241 14.0196 [-x/(x-1)/(4*x^2-2*x+1) ogf] A157241 19.1318 [-3*(2*x-1)^2/(x-1)/(4*x^2-2*x+1) lgdogf] A157241 5.17841 [{a(n+3)-3*a(n+2)+6*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A157241 5.80608 [(3*f(x)+1)*(4*f(x)*x^3-6*f(x)*x^2+3*f(x)*x-f(x)+x) ogf] A157241 8.70914 [-(12*x^2-12*x+3)/(4*x^3-6*x^2+3*x-1) lgdogf] A157246 4.26007 [-(x-1)*(245*x^12+510*x^11+797*x^10+1140*x^9+1567*x^8+2060*x^7+2697*x^6+2060*x^5+1567*x^4+1140*x^3+797*x^2+510*x+245)/(x^14-6*x^7+1) ogf] A157257 8.17053 [-(x-1)*(29*x^4+70*x^3+155*x^2+70*x+29)/(x^6-6*x^3+1) ogf] A157262 10.1207 [-(21*x^2+140*x+55)/(21*x^3+28*x^2-47*x-2) lgdogf] A157262 11.4059 [-(21*x^2+49*x+2)/(x-1)^3 ogf] A157262 17.6032 [-(55+140*x+21*x^2)/(x-1)/(21*x^2+49*x+2) lgdogf] A157262 5.65805 [(5769792*f(x)-167558959)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+49*x+2) ogf] A157262 6.24846 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=55,a(2)=180} ogf] A157263 13.8189 [-(-55*x-89)/(-55*x^2+38*x+17) lgdogf] A157263 14.6480 [24*(55*x+17)/(x-1)^2 ogf] A157263 18.4149 [-(-204-x+12*(289+12*x)^(1/2))/(-1320+x) revogf] A157263 27.6223 [-(89+55*x)/(55*x+17)/(x-1) lgdogf] A157263 7.87529 [(6*f(x)+5473)*(f(x)*x^2-2*f(x)*x+f(x)-1320*x-408) ogf] A157263 8.41841 [{-a(n+2)+2*a(n+1)-a(n),a(0)=408,a(1)=2136} ogf] A157264 11.5844 [-(15841+40318*x+6049*x^2)/(x-1)/(6049*x^2+14110*x+577) lgdogf] A157264 4.69549 [(3739632*f(x)-31274927789)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6049*x^2-f(x)+14110*x+577) ogf] A157264 5.23433 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=577,a(1)=15841,a(2)=51841} ogf] A157264 7.34009 [-(6049*x^2+40318*x+15841)/(6049*x^3+8061*x^2-13533*x-577) lgdogf] A157264 9.12269 [-(6049*x^2+14110*x+577)/(x-1)^3 ogf] A157265 10.7078 [-(2*x^2+102*x+112)/(2*x^3+47*x^2-28*x-21) lgdogf] A157265 12.0676 [-(2*x^2+49*x+21)/(x-1)^3 ogf] A157265 19.6238 [-2*(56+51*x+x^2)/(x-1)/(2*x^2+49*x+21) lgdogf] A157265 5.80348 [(329593536*f(x)-14091245011)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+49*x+21) ogf] A157265 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=112,a(2)=275} ogf] A157266 13.1259 [-(17*x+127)/(17*x^2+38*x-55) lgdogf] A157266 14.1760 [24*(17*x+55)/(x-1)^2 ogf] A157266 17.8126 [-(-660-x+12*(3025+12*x)^(1/2))/(-408+x) revogf] A157266 25.7294 [-(127+17*x)/(17*x+55)/(x-1) lgdogf] A157266 7.62149 [(6*f(x)+8209)*(f(x)*x^2-2*f(x)*x+f(x)-408*x-1320) ogf] A157266 8.05452 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1320,a(1)=3048} ogf] A157267 11.8644 [-(32257+29374*x+577*x^2)/(x-1)/(577*x^2+14110*x+6049) lgdogf] A157267 4.71945 [(6103536*f(x)-75146538259)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+577*x^2-f(x)+14110*x+6049) ogf] A157267 5.21826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6049,a(1)=32257,a(2)=79201} ogf] A157267 7.46333 [-(577*x^2+29374*x+32257)/(577*x^3+13533*x^2-8061*x-6049) lgdogf] A157267 9.16923 [-(577*x^2+14110*x+6049)/(x-1)^3 ogf] A157286 13.8228 [-(37*x+35)/(x-1)^3 ogf] A157286 14.3445 [-(74*x+142)/(37*x^2-2*x-35) lgdogf] A157286 26.6324 [-2*(71+37*x)/(37*x+35)/(x-1) lgdogf] A157286 6.18094 [(392299200*f(x)-19076749667)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+37*x+35) ogf] A157286 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=35,a(1)=142,a(2)=321} ogf] A157287 13.6986 [-(x+143)/(x^2+70*x-71) lgdogf] A157287 14.5372 [24*(x+71)/(x-1)^2 ogf] A157287 7.65941 [(6*f(x)+10225)*(f(x)*x^2-2*f(x)*x+f(x)-24*x-1704) ogf] A157287 8.09460 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1704,a(1)=3432} ogf] A157288 13.8115 [-(40897+21310*x+x^2)/(x-1)/(x^2+10654*x+10081) lgdogf] A157288 4.76736 [(7264752*f(x)-101733498275)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10654*x+10081) ogf] A157288 5.22873 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10081,a(1)=40897,a(2)=92449} ogf] A157288 7.90685 [-(x^2+21310*x+40897)/(x^3+10653*x^2-573*x-10081) lgdogf] A157288 9.39655 [-(x^2+10654*x+10081)/(x-1)^3 ogf] A157297 7.60358 [-(x-1)*(185*x^4+418*x^3+735*x^2+418*x+185)/(x^6-6*x^3+1) ogf] A157319 11.2461 [-x*(x^6-x^5+x^4-x^3+2*x^2-3)/(x-1)^2 ogf] A157319 13.0160 [(6-4*x-9*x^5+4*x^6+7*x^4+3*x^2-5*x^3)/(x-1)/(x^6-x^5+x^4-x^3+2*x^2-3) lgdogf] A157324 13.8228 [-(35*x+37)/(x-1)^3 ogf] A157324 14.3445 [-(70*x+146)/(35*x^2+2*x-37) lgdogf] A157324 26.6324 [-2*(73+35*x)/(35*x+37)/(x-1) lgdogf] A157324 6.2831 [(57215808*f(x)-2821721971)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+35*x+37) ogf] A157324 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=37,a(1)=146,a(2)=327} ogf] A157325 13.6986 [-(-x+145)/(-x^2+74*x-73) lgdogf] A157325 14.5372 [-24*(x-73)/(x-1)^2 ogf] A157325 18.8708 [-(-876-x+12*(5329+12*x)^(1/2))/(24+x) revogf] A157325 31.7372 [-(-145+x)/(x-1)/(x-73) lgdogf] A157325 7.65941 [(6*f(x)+10513)*(f(x)*x^2-2*f(x)*x+f(x)+24*x-1752) ogf] A157325 8.09460 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1752,a(1)=3480} ogf] A157326 13.8115 [-(42049+20158*x+x^2)/(x-1)/(x^2+10078*x+10657) lgdogf] A157326 4.76736 [(7416816*f(x)-105334788517)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10078*x+10657) ogf] A157326 5.22873 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10657,a(1)=42049,a(2)=94177} ogf] A157326 7.90685 [-(x^2+20158*x+42049)/(x^3+10077*x^2+579*x-10657) lgdogf] A157326 9.39655 [-(x^2+10078*x+10657)/(x-1)^3 ogf] A157327 4.64118 [-(x+1)*(12*x^2+2*x+1)*(36*x^4+12*x^3-9*x^2+3*x-2)/(9*x^2+1)^2/(4*x^2+1)^2 ogf] A157328 3.35656 [{(32*n+48)*a(n+1)+(14*n+18)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=12} ogf] A157328 7.22593 [-(16*x-1+3*(-16*x+1)^(1/2))/(32*x^2+14*x-1) lgdogf] A157328 9.4594 [-2*f(x)^2*x-f(x)^2+3*f(x)-2 ogf] A157330 16.4696 [-(x+15)/(x^2+6*x-7) lgdogf] A157330 17.5437 [8*(x+7)/(x-1)^2 ogf] A157330 24.7433 [-(-28-x+4*(49+4*x)^(1/2))/(-8+x) revogf] A157330 41.6729 [-(15+x)/(x+7)/(x-1) lgdogf] A157330 9.1706 [(2*f(x)+113)*(f(x)*x^2-2*f(x)*x+f(x)-8*x-56) ogf] A157330 9.49426 [{-a(n+2)+2*a(n+1)-a(n),a(0)=56,a(1)=120} ogf] A157331 11.1301 [-(x^2+158*x+97)/(x-1)^3 ogf] A157331 18.8708 [-(449+318*x+x^2)/(x-1)/(x^2+158*x+97) lgdogf] A157331 5.74456 [(27472*f(x)-4498569)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+158*x+97) ogf] A157331 6.03665 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=97,a(1)=449,a(2)=1057} ogf] A157331 9.89340 [-(x^2+318*x+449)/(x^3+157*x^2-61*x-97) lgdogf] A157335 10.7949 [-(-3*x^2+12*x+6)/(-x^3+6*x^2+6*x-1) lgdogf] A157335 16.8850 [-3*(-2-4*x+x^2)/(x+1)/(x^2-7*x+1) lgdogf] A157335 18.9639 [1/(x+1)/(x^2-7*x+1) ogf] A157335 6.20943 [{a(n+3)-6*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=42} ogf] A157335 6.94719 [(562*f(x)+5)*(f(x)*x^3-6*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A157336 16.6163 [-(-x+17)/(-x^2+10*x-9) lgdogf] A157336 18.0612 [-8*(x-9)/(x-1)^2 ogf] A157336 9.44108 [(2*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)+8*x-72) ogf] A157336 9.77429 [{-a(n+2)+2*a(n+1)-a(n),a(0)=72,a(1)=136} ogf] A157337 11.2403 [-(x^2+94*x+161)/(x-1)^3 ogf] A157337 19.0614 [-(577+190*x+x^2)/(x-1)/(x^2+94*x+161) lgdogf] A157337 5.80143 [(33104*f(x)-6152335)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+94*x+161) ogf] A157337 6.04518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=161,a(1)=577,a(2)=1249} ogf] A157337 9.99135 [-(x^2+190*x+577)/(x^3+93*x^2+67*x-161) lgdogf] A157348 7.23768 [-(x-1)*(229*x^4+510*x^3+875*x^2+510*x+229)/(x^6-6*x^3+1) ogf] A157362 13.5245 [-(51*x+47)/(x-1)^3 ogf] A157362 13.7750 [-(102*x+192)/(51*x^2-4*x-47) lgdogf] A157362 26.0502 [-6*(32+17*x)/(51*x+47)/(x-1) lgdogf] A157362 6.04755 [(446634020*f(x)-29468127613)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+51*x+47) ogf] A157362 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=47,a(1)=192,a(2)=435} ogf] A157363 14.3341 [-(x+97)/(x^2+47*x-48) lgdogf] A157363 15.2300 [14*(x+48)/(x-1)^2 ogf] A157363 19.3704 [-(-336-x+7*(2304+14*x)^(1/2))/(-14+x) revogf] A157363 35.8352 [-(97+x)/(x+48)/(x-1) lgdogf] A157363 8.03338 [(7*f(x)+4705)*(f(x)*x^2-2*f(x)*x+f(x)-14*x-672) ogf] A157363 8.40274 [{-a(n+2)+2*a(n+1)-a(n),a(0)=672,a(1)=1358} ogf] A157364 15.0229 [-(18817+9994*x+x^2)/(x-1)/(x^2+4996*x+4607) lgdogf] A157364 4.95615 [(6836137*f(x)-44193595583)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4996*x+4607) ogf] A157364 5.35909 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4607,a(1)=18817,a(2)=42631} ogf] A157364 8.34390 [-(x^2+9994*x+18817)/(x^3+4995*x^2-389*x-4607) lgdogf] A157364 9.83833 [-(x^2+4996*x+4607)/(x-1)^3 ogf] A157365 13.5245 [-(47*x+51)/(x-1)^3 ogf] A157365 14.0349 [-(94*x+200)/(47*x^2+4*x-51) lgdogf] A157365 25.1519 [-2*(100+47*x)/(47*x+51)/(x-1) lgdogf] A157365 5.99878 [(1381314508*f(x)-93040742715)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+47*x+51) ogf] A157365 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=51,a(1)=200,a(2)=447} ogf] A157366 14.3341 [-(-x+99)/(-x^2+51*x-50) lgdogf] A157366 15.2300 [-14*(x-50)/(x-1)^2 ogf] A157366 19.9084 [-(-350-x+7*(2500+14*x)^(1/2))/(14+x) revogf] A157366 34.1288 [-(-99+x)/(x-1)/(x-50) lgdogf] A157366 8.03338 [(7*f(x)+4901)*(f(x)*x^2-2*f(x)*x+f(x)+14*x-700) ogf] A157366 8.40274 [{-a(n+2)+2*a(n+1)-a(n),a(0)=700,a(1)=1386} ogf] A157367 15.0229 [-(19601+9210*x+x^2)/(x-1)/(x^2+4604*x+4999) lgdogf] A157367 4.95615 [(7047425*f(x)-46511314503)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4604*x+4999) ogf] A157367 5.35909 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4999,a(1)=19601,a(2)=43807} ogf] A157367 8.34390 [-(x^2+9210*x+19601)/(x^3+4603*x^2+395*x-4999) lgdogf] A157367 9.83833 [-(x^2+4604*x+4999)/(x-1)^3 ogf] A157368 10.2733 [-(31*x^2+192*x+71)/(31*x^3+34*x^2-63*x-2) lgdogf] A157368 11.5779 [-(31*x^2+65*x+2)/(x-1)^3 ogf] A157368 17.8741 [-(71+192*x+31*x^2)/(x-1)/(31*x^2+65*x+2) lgdogf] A157368 5.56798 [(669888604*f(x)-25860548363)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31*x^2-f(x)+65*x+2) ogf] A157368 6.34266 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=71,a(2)=238} ogf] A157369 14.6163 [-(-39*x-59)/(-39*x^2+29*x+10) lgdogf] A157369 16.1389 [7*(39*x+10)/(x-1)^2 ogf] A157369 22.3503 [-(-35-x+7*(25+7*x)^(1/2))/(-273+x) revogf] A157369 29.2273 [-(59+39*x)/(39*x+10)/(x-1) lgdogf] A157369 8.42027 [(14*f(x)+2501)*(f(x)*x^2-2*f(x)*x+f(x)-273*x-70) ogf] A157369 9.11371 [{-a(n+2)+2*a(n+1)-a(n),a(0)=70,a(1)=413} ogf] A157370 10.0524 [-(16*x+33)*(95*x+3)/(x-1)^3 ogf] A157370 13.6754 [-2*(1740+4703*x+760*x^2)/(16*x+33)/(x-1)/(95*x+3) lgdogf] A157370 5.06342 [(13670412*f(x)-25850828075)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1520*x^2-f(x)+3183*x+99) ogf] A157370 5.69635 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=99,a(1)=3480,a(2)=11663} ogf] A157370 8.23569 [-(1520*x^2+9406*x+3480)/(1520*x^3+1663*x^2-3084*x-99) lgdogf] A157371 16.5835 [-2*(-4+15*x-6*x^2+55*x^3)/(x-1)/(55*x^3-59*x^2+37*x-9) lgdogf] A157371 4.01623 [{(187*n^2+1089*n+1584)*a(n+1)+(-400*n^2-1736*n-1408)*a(n+2)+(213*n^2+543*n-288)*a(n+3),a(0)=9,a(1)=8,a(2)=9} ogf] A157371 8.74646 [(55*x^3-59*x^2+37*x-9)/(x-1)^5 ogf] A157371 8.84473 [-(110*x^3-12*x^2+30*x-8)/(55*x^4-114*x^3+96*x^2-46*x+9) lgdogf] A157373 10.4768 [-(2*x^2+134*x+158)/(2*x^3+63*x^2-34*x-31) lgdogf] A157373 11.8071 [-(2*x^2+65*x+31)/(x-1)^3 ogf] A157373 19.1949 [-2*(79+67*x+x^2)/(x-1)/(2*x^2+65*x+31) lgdogf] A157373 5.63522 [(1161190828*f(x)-68991679093)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+65*x+31) ogf] A157373 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=31,a(1)=158,a(2)=383} ogf] A157374 14.6859 [-(10*x+88)/(10*x^2+29*x-39) lgdogf] A157374 16.2157 [7*(10*x+39)/(x-1)^2 ogf] A157374 17.7581 [-1/2*(-273-2*x+7*(1521+28*x)^(1/2))/(-70+x) revogf] A157374 28.2814 [-2*(44+5*x)/(10*x+39)/(x-1) lgdogf] A157374 8.55334 [(7*f(x)+1961)*(f(x)*x^2-2*f(x)*x+f(x)-70*x-273) ogf] A157374 9.05063 [{-a(n+2)+2*a(n+1)-a(n),a(0)=273,a(1)=616} ogf] A157375 10.2505 [-(3*x+95)*(33*x+16)/(x-1)^3 ogf] A157375 14.2409 [-3*(2581+2188*x+33*x^2)/(3*x+95)/(x-1)/(33*x+16) lgdogf] A157375 5.20172 [(7898996*f(x)-22988289895)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+99*x^2-f(x)+3183*x+1520) ogf] A157375 5.71337 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1520,a(1)=7743,a(2)=18768} ogf] A157375 8.60532 [-(99*x^2+6564*x+7743)/(99*x^3+3084*x^2-1663*x-1520) lgdogf] A157376 11.8650 [-2*(6529+12015*x+1139*x^2)/(x-1)/(2278*x^2+9737*x+1107) lgdogf] A157376 4.26769 [(37961595490516020*f(x)-229762854430944739907)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2278*x^2-f(x)+9737*x+1107) ogf] A157376 5.41268 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1107,a(1)=13058,a(2)=38131} ogf] A157376 7.65241 [-(2278*x^2+24030*x+13058)/(2278*x^3+7459*x^2-8630*x-1107) lgdogf] A157376 9.51086 [-(2278*x^2+9737*x+1107)/(x-1)^3 ogf] A157377 10.5763 [-(-3866*x-9256)/(-3866*x^2+1171*x+2695) lgdogf] A157377 11.8806 [-1/2*(-218295-2*x+81*(7263025+324*x)^(1/2))/(-313146+x) revogf] A157377 12.1147 [81*(3866*x+2695)/(x-1)^2 ogf] A157377 18.1509 [-2*(4628+1933*x)/(3866*x+2695)/(x-1) lgdogf] A157377 6.469 [(81*f(x)+25154873)*(f(x)*x^2-2*f(x)*x+f(x)-313146*x-218295) ogf] A157377 7.24248 [{-a(n+2)+2*a(n+1)-a(n),a(0)=218295,a(1)=749736} ogf] A157378 4.01867 [(13500542047572*f(x)-536113338607136177807)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14945957*x^2-f(x)+63884459*x+7263026) ogf] A157378 4.95535 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7263026,a(1)=85673537,a(2)=250177490} ogf] A157378 8.13656 [-(14945957*x^2+63884459*x+7263026)/(x-1)^3 ogf] A157411 6.86781 [-(251*x^4+646*x^3-264*x^2+106*x-19)/(x-1)^5 ogf] A157411 9.06987 [-(11-104*x+251*x^4+2296*x^3+1146*x^2)/(x-1)/(251*x^4+646*x^3-264*x^2+106*x-19) lgdogf] A157418 11.6121 [1/2/(x^2+2+2*x)*(-2-x-2*x^2+((4*x+1)*(x+2)^2)^(1/2)) revogf] A157418 5.26959 [-f(x)^2*x^3-2*f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2-f(x)*x+2*f(x)-2*x-2 ogf] A157421 5.89775 [-(2*x^11+3*x^10-2*x^9+4*x^8+2*x^7+2*x^6+3*x^5+3*x^3+2*x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A157431 11.6593 [-(333*x^2-735*x+410)/(x-1)^3 ogf] A157431 15.9630 [-3*(165-268*x+111*x^2)/(x-1)/(333*x^2-735*x+410) lgdogf] A157431 6.00902 [(128192*f(x)+103992923)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+333*x^2-f(x)-735*x+410) ogf] A157431 6.62011 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=410,a(1)=495,a(2)=588} ogf] A157431 9.76466 [-(-333*x^2+804*x-495)/(-333*x^3+1068*x^2-1145*x+410) lgdogf] A157432 14.7662 [-(-73*x+89)/(-73*x^2+154*x-81) lgdogf] A157432 16.2729 [-8*(73*x-81)/(x-1)^2 ogf] A157432 21.7314 [-(-324-x+4*(6561+4*x)^(1/2))/(584+x) revogf] A157432 28.9752 [-(-89+73*x)/(x-1)/(73*x-81) lgdogf] A157432 8.66711 [(2*f(x)+6625)*(f(x)*x^2-2*f(x)*x+f(x)+584*x-648) ogf] A157432 9.27179 [{-a(n+2)+2*a(n+1)-a(n),a(0)=648,a(1)=712} ogf] A157433 12.2496 [-(15841-25730*x+10657*x^2)/(x-1)/(10657*x^2-23522*x+13121) lgdogf] A157433 5.36547 [(18608*f(x)+483182087)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10657*x^2-f(x)-23522*x+13121) ogf] A157433 5.84145 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13121,a(1)=15841,a(2)=18817} ogf] A157433 7.87326 [-(-10657*x^2+25730*x-15841)/(-10657*x^3+34179*x^2-36643*x+13121) lgdogf] A157433 9.92247 [-(10657*x^2-23522*x+13121)/(x-1)^3 ogf] A157434 11.7151 [-(390*x^2-855*x+473)/(x-1)^3 ogf] A157434 16.7383 [-6*(94-155*x+65*x^2)/(x-1)/(390*x^2-855*x+473) lgdogf] A157434 6.03777 [(434752*f(x)+446257999)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+390*x^2-f(x)-855*x+473) ogf] A157434 6.65179 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=473,a(1)=564,a(2)=663} ogf] A157434 9.81139 [-(-390*x^2+930*x-564)/(-390*x^3+1245*x^2-1328*x+473) lgdogf] A157435 14.8359 [-(-79*x+95)/(-79*x^2+166*x-87) lgdogf] A157435 16.3497 [-8*(79*x-87)/(x-1)^2 ogf] A157435 21.8359 [-(-348-x+4*(7569+4*x)^(1/2))/(632+x) revogf] A157435 29.1145 [-(-95+79*x)/(x-1)/(79*x-87) lgdogf] A157435 8.708 [(2*f(x)+7633)*(f(x)*x^2-2*f(x)*x+f(x)+632*x-696) ogf] A157435 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=696,a(1)=760} ogf] A157436 12.2496 [-(18049-29762*x+12481*x^2)/(x-1)/(12481*x^2-27362*x+15137) lgdogf] A157436 5.24883 [(652112*f(x)+21424777991)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12481*x^2-f(x)-27362*x+15137) ogf] A157436 5.84145 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15137,a(1)=18049,a(2)=21217} ogf] A157436 7.87326 [-(-12481*x^2+29762*x-18049)/(-12481*x^3+39843*x^2-42499*x+15137) lgdogf] A157436 9.92247 [-(12481*x^2-27362*x+15137)/(x-1)^3 ogf] A157440 11.3882 [-(86*x^2+153*x+3)/(x-1)^3 ogf] A157440 16.6192 [-2*(81+239*x+43*x^2)/(x-1)/(86*x^2+153*x+3) lgdogf] A157440 5.35916 [(23659563180*f(x)-2176891475573)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+86*x^2-f(x)+153*x+3) ogf] A157440 6.28316 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=162,a(2)=563} ogf] A157440 9.98421 [-(86*x^2+478*x+162)/(86*x^3+67*x^2-150*x-3) lgdogf] A157441 12.9516 [-(-102*x-140)/(-102*x^2+83*x+19) lgdogf] A157441 14.5058 [11*(102*x+19)/(x-1)^2 ogf] A157441 15.8016 [-1/2*(-209-2*x+11*(361+44*x)^(1/2))/(-1122+x) revogf] A157441 24.5197 [-2*(70+51*x)/(102*x+19)/(x-1) lgdogf] A157441 7.71586 [(11*f(x)+7501)*(f(x)*x^2-2*f(x)*x+f(x)-1122*x-209) ogf] A157441 8.33668 [{-a(n+2)+2*a(n+1)-a(n),a(0)=209,a(1)=1540} ogf] A157442 11.2288 [-(19601+57840*x+10405*x^2)/(x-1)/(10405*x^2+18515*x+362) lgdogf] A157442 4.55209 [(195535516*f(x)-2177023847597)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10405*x^2-f(x)+18515*x+362) ogf] A157442 5.26103 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=362,a(1)=19601,a(2)=68122} ogf] A157442 7.21175 [-(10405*x^2+57840*x+19601)/(10405*x^3+8110*x^2-18153*x-362) lgdogf] A157442 9.04008 [-(10405*x^2+18515*x+362)/(x-1)^3 ogf] A157443 10.2216 [-(3*x^2+312*x+411)/(3*x^3+150*x^2-67*x-86) lgdogf] A157443 11.4993 [-(3*x^2+153*x+86)/(x-1)^3 ogf] A157443 17.6033 [-3*(137+104*x+x^2)/(x-1)/(3*x^2+153*x+86) lgdogf] A157443 5.41145 [(14944420084*f(x)-2254693695833)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+153*x+86) ogf] A157443 6.29023 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=86,a(1)=411,a(2)=978} ogf] A157444 13.3164 [-(19*x+223)/(19*x^2+83*x-102) lgdogf] A157444 14.6480 [11*(19*x+102)/(x-1)^2 ogf] A157444 18.4149 [-(-561-x+11*(2601+11*x)^(1/2))/(-209+x) revogf] A157444 25.6493 [-(223+19*x)/(19*x+102)/(x-1) lgdogf] A157444 7.70949 [(22*f(x)+25045)*(f(x)*x^2-2*f(x)*x+f(x)-209*x-1122) ogf] A157444 8.32275 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1122,a(1)=2453} ogf] A157445 11.4615 [-2*(24865+18877*x+181*x^2)/(x-1)/(362*x^2+18515*x+10405) lgdogf] A157445 4.64452 [(370524748*f(x)-6764512250227)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+362*x^2-f(x)+18515*x+10405) ogf] A157445 5.23902 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10405,a(1)=49730,a(2)=118337} ogf] A157445 7.52733 [-(362*x^2+37754*x+49730)/(362*x^3+18153*x^2-8110*x-10405) lgdogf] A157445 9.22363 [-(362*x^2+18515*x+10405)/(x-1)^3 ogf] A157446 14.0177 [-(17*x+15)/(x-1)^3 ogf] A157446 14.8265 [-(34*x+62)/(17*x^2-2*x-15) lgdogf] A157446 27.0079 [-2*(31+17*x)/(17*x+15)/(x-1) lgdogf] A157446 6.4248 [(15109120*f(x)-323828367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+17*x+15) ogf] A157446 6.64634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=62,a(2)=141} ogf] A157447 14.5145 [-(x+63)/(x^2+30*x-31) lgdogf] A157447 15.4216 [16*(x+31)/(x-1)^2 ogf] A157447 20.7370 [-(-248-x+8*(961+8*x)^(1/2))/(-16+x) revogf] A157447 36.2897 [-(63+x)/(x+31)/(x-1) lgdogf] A157447 8.13449 [(4*f(x)+1985)*(f(x)*x^2-2*f(x)*x+f(x)-16*x-496) ogf] A157447 8.50849 [{-a(n+2)+2*a(n+1)-a(n),a(0)=496,a(1)=1008} ogf] A157448 10.7620 [-(x^2+2174*x+1921)/(x-1)^3 ogf] A157448 16.8440 [-(7937+4350*x+x^2)/(x-1)/(x^2+2174*x+1921) lgdogf] A157448 5.46253 [(1888576*f(x)-5178892845)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+2174*x+1921) ogf] A157448 5.91028 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1921,a(1)=7937,a(2)=18049} ogf] A157448 9.24428 [-(x^2+4350*x+7937)/(x^3+2173*x^2-253*x-1921) lgdogf] A157456 10.4154 [-(-x^2+2*x-15)/(-x^3+17*x^2-17*x+1) lgdogf] A157456 15.1703 [-(x-1)/(x^2-16*x+1) ogf] A157456 7.50357 [-(238*f(x)-13)*(f(x)*x^2-16*f(x)*x+f(x)+x-1) ogf] A157456 8.30752 [{a(n+2)-16*a(n+1)+a(n),a(0)=1,a(1)=15} ogf] A157459 12.7203 [-72*x/(x-1)/(x^2-322*x+1) ogf] A157459 5.30011 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=72,a(2)=23256} ogf] A157459 7.75625 [f(x)*x^3-323*f(x)*x^2+323*f(x)*x-f(x)+72*x ogf] A157459 8.83351 [-(3*x^2-646*x+323)/(x^3-323*x^2+323*x-1) lgdogf] A157460 11.3884 [-88*x/(x-1)/(x^2-482*x+1) ogf] A157460 4.74516 [{a(n+3)-483*a(n+2)+483*a(n+1)-a(n),a(0)=0,a(1)=88,a(2)=42504} ogf] A157460 6.94413 [f(x)*x^3-483*f(x)*x^2+483*f(x)*x-f(x)+88*x ogf] A157460 7.90860 [-(3*x^2-966*x+483)/(x^3-483*x^2+483*x-1) lgdogf] A157461 13.6117 [(x+1)/(x^2-26*x+1) ogf] A157461 7.03528 [(700*f(x)+29)*(f(x)*x^2-26*f(x)*x+f(x)-x-1) ogf] A157461 7.45404 [{-a(n+2)+26*a(n+1)-a(n),a(0)=1,a(1)=27} ogf] A157461 9.34536 [-(x^2+2*x-27)/(x^3-25*x^2-25*x+1) lgdogf] A157462 11.3214 [-15*(1+120*x+900*x^2)/(30*x+1)/(30*x-1)/(15*x+1) lgdogf] A157462 12.6027 [-(15*x+1)/(30*x-1)/(30*x+1) ogf] A157462 12.9388 [1/30*(-1+(1+60*x+3600*x^2)^(1/2))/(1+60*x) revogf] A157462 7.01922 [-(-13500*x^2-1800*x-15)/(-13500*x^3-900*x^2+15*x+1) lgdogf] A157462 7.70164 [(20*f(x)-19)*(900*f(x)*x^2-f(x)+15*x+1) ogf] A157462 8.27639 [{-a(n+2)+900*a(n),a(0)=1,a(1)=15} ogf] A157469 7.94888 [-(x-1)*(85*x^4+182*x^3+295*x^2+182*x+85)/(x^6-6*x^3+1) ogf] A157474 14.0848 [-(15*x+17)/(x-1)^3 ogf] A157474 14.8974 [-(30*x+66)/(15*x^2+2*x-17) lgdogf] A157474 28.1448 [-6*(11+5*x)/(15*x+17)/(x-1) lgdogf] A157474 6.50979 [(5276672*f(x)-116731099)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+15*x+17) ogf] A157474 6.67815 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=66,a(2)=147} ogf] A157475 14.5145 [-(-x+65)/(-x^2+34*x-33) lgdogf] A157475 15.4216 [-16*(x-33)/(x-1)^2 ogf] A157475 20.7370 [-(-264-x+8*(1089+8*x)^(1/2))/(16+x) revogf] A157475 34.5617 [-(-65+x)/(x-1)/(x-33) lgdogf] A157475 8.13449 [(4*f(x)+2113)*(f(x)*x^2-2*f(x)*x+f(x)+16*x-528) ogf] A157475 8.50849 [{-a(n+2)+2*a(n+1)-a(n),a(0)=528,a(1)=1040} ogf] A157476 10.8128 [-(x^2+1918*x+2177)/(x-1)^3 ogf] A157476 16.9250 [-(8449+3838*x+x^2)/(x-1)/(x^2+1918*x+2177) lgdogf] A157476 5.4883 [(1978688*f(x)-5600535091)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1918*x+2177) ogf] A157476 5.93816 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2177,a(1)=8449,a(2)=18817} ogf] A157476 9.28790 [-(x^2+3838*x+8449)/(x^3+1917*x^2+259*x-2177) lgdogf] A157505 13.6307 [-(-x+163)/(-x^2+83*x-82) lgdogf] A157505 14.4653 [-18*(x-82)/(x-1)^2 ogf] A157505 19.2970 [-(-738-x+9*(6724+18*x)^(1/2))/(18+x) revogf] A157505 31.5770 [-(-163+x)/(x-1)/(x-82) lgdogf] A157505 7.62149 [(9*f(x)+13285)*(f(x)*x^2-2*f(x)*x+f(x)+18*x-1476) ogf] A157505 8.05452 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1476,a(1)=2934} ogf] A157506 13.9532 [-(53137+25594*x+x^2)/(x-1)/(x^2+12796*x+13447) lgdogf] A157506 4.78013 [(10548171*f(x)-189450070669)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+12796*x+13447) ogf] A157506 5.23902 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13447,a(1)=53137,a(2)=119071} ogf] A157506 7.98632 [-(x^2+25594*x+53137)/(x^3+12795*x^2+651*x-13447) lgdogf] A157506 9.49099 [-(x^2+12796*x+13447)/(x-1)^3 ogf] A157507 13.3568 [-(83*x+79)/(x-1)^3 ogf] A157507 13.6041 [-(166*x+320)/(83*x^2-4*x-79) lgdogf] A157507 24.8375 [-2*(160+83*x)/(83*x+79)/(x-1) lgdogf] A157507 5.78442 [(10065807468*f(x)-1102167855895)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+83*x+79) ogf] A157507 6.27882 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=79,a(1)=320,a(2)=723} ogf] A157508 13.6307 [-(x+161)/(x^2+79*x-80) lgdogf] A157508 14.4653 [18*(x+80)/(x-1)^2 ogf] A157508 18.7755 [-(-720-x+9*(6400+18*x)^(1/2))/(-18+x) revogf] A157508 33.0806 [-(161+x)/(x+80)/(x-1) lgdogf] A157508 7.62149 [(9*f(x)+12961)*(f(x)*x^2-2*f(x)*x+f(x)-18*x-1440) ogf] A157508 8.05452 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1440,a(1)=2898} ogf] A157509 13.9532 [-(51841+26890*x+x^2)/(x-1)/(x^2+13444*x+12799) lgdogf] A157509 4.78013 [(10355715*f(x)-183681565109)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+13444*x+12799) ogf] A157509 5.23902 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12799,a(1)=51841,a(2)=117127} ogf] A157509 7.98632 [-(x^2+26890*x+51841)/(x^3+13443*x^2-645*x-12799) lgdogf] A157509 9.49099 [-(x^2+13444*x+12799)/(x-1)^3 ogf] A157510 13.9479 [-(-x+101)/(-x^2+52*x-51) lgdogf] A157510 14.8019 [-20*(x-51)/(x-1)^2 ogf] A157510 19.2181 [-(-510-x+10*(2601+10*x)^(1/2))/(20+x) revogf] A157510 32.3214 [-(-101+x)/(x-1)/(x-51) lgdogf] A157510 7.8836 [(5*f(x)+5101)*(f(x)*x^2-2*f(x)*x+f(x)+20*x-1020) ogf] A157510 8.24194 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1020,a(1)=2020} ogf] A157511 15.0229 [-(20401+9598*x+x^2)/(x-1)/(x^2+4798*x+5201) lgdogf] A157511 4.95615 [(3742750*f(x)-25714382939)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4798*x+5201) ogf] A157511 5.35909 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5201,a(1)=20401,a(2)=45601} ogf] A157511 8.34390 [-(x^2+9598*x+20401)/(x^3+4797*x^2+403*x-5201) lgdogf] A157511 9.83833 [-(x^2+4798*x+5201)/(x-1)^3 ogf] A157514 13.4260 [-2*(13*x+12)/(x-1)^3 ogf] A157514 14.2006 [-(26*x+49)/(13*x^2-x-12) lgdogf] A157514 27.8416 [-(49+26*x)/(13*x+12)/(x-1) lgdogf] A157514 6.25788 [(2838125*f(x)-95556882)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+26*x+24) ogf] A157514 6.36578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=98,a(2)=222} ogf] A157515 14.0820 [-(x+99)/(x^2+48*x-49) lgdogf] A157515 14.9621 [20*(x+49)/(x-1)^2 ogf] A157515 18.5252 [-(-490-x+10*(2401+10*x)^(1/2))/(-20+x) revogf] A157515 35.1980 [-(99+x)/(x+49)/(x-1) lgdogf] A157515 7.89209 [(5*f(x)+4901)*(f(x)*x^2-2*f(x)*x+f(x)-20*x-980) ogf] A157515 8.25495 [{-a(n+2)+2*a(n+1)-a(n),a(0)=980,a(1)=1980} ogf] A157516 14.6815 [-(19601+10398*x+x^2)/(x-1)/(x^2+5198*x+4801) lgdogf] A157516 4.95615 [(1816375*f(x)-12228996468)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+5198*x+4801) ogf] A157516 5.35909 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4801,a(1)=19601,a(2)=44401} ogf] A157516 8.23960 [-(x^2+10398*x+19601)/(x^3+5197*x^2-397*x-4801) lgdogf] A157516 9.83833 [-(x^2+5198*x+4801)/(x-1)^3 ogf] A157517 10.7691 [(11*x^2+8*x-7)/(x-1)^3 ogf] A157517 20.2415 [-(-13+38*x+11*x^2)/(x-1)/(11*x^2+8*x-7) lgdogf] A157517 5.90873 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=7,a(1)=13,a(2)=7} ogf] A157517 5.90874 [(5*f(x)+13)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)-8*x+7) ogf] A157517 9.67662 [-(-11*x^2-38*x+13)/(-11*x^3+3*x^2+15*x-7) lgdogf] A157532 12.2069 [{a(n+2)-a(n+1),a(0)=2,a(1)=3} ogf] A157532 19.5311 [-f(x)*x+f(x)-x-2 ogf] A157532 23.7540 [-(x+2)/(x-1) ogf] A157532 24.4139 [-3/(x^2+x-2) lgdogf] A157532 32.4226 [-1/2*x-1+1/2*(4+8*x+x^2)^(1/2) revogf] A157532 69.4770 [-3/(x+2)/(x-1) lgdogf] A157534 4.85550 [-(16*x^6+54*x^5-45*x^4+15*x^2-6*x+1)/(x-1)^9 ogf] A157534 7.84595 [-3*(1-6*x+104*x^5+15*x^4-60*x^3+16*x^6+35*x^2)/(x-1)/(16*x^6+54*x^5-45*x^4+15*x^2-6*x+1) lgdogf] A157606 6.73130 [(2*x^9-3*x^8+x^7-4*x^5-x^4-2*x^3-3*x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A157609 13.3218 [-(x+241)/(x^2+119*x-120) lgdogf] A157609 14.6812 [22*(x+120)/(x-1)^2 ogf] A157609 17.6318 [-(-1320-x+11*(14400+22*x)^(1/2))/(-22+x) revogf] A157609 32.0578 [-(241+x)/(x+120)/(x-1) lgdogf] A157609 7.65295 [(11*f(x)+29041)*(f(x)*x^2-2*f(x)*x+f(x)-22*x-2640) ogf] A157609 8.17474 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2640,a(1)=5302} ogf] A157610 13.6974 [-(116161+59530*x+x^2)/(x-1)/(x^2+29764*x+28799) lgdogf] A157610 4.72411 [(103879105*f(x)-4120098226967)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+29764*x+28799) ogf] A157610 5.21152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=28799,a(1)=116161,a(2)=262087} ogf] A157610 7.91147 [-(x^2+59530*x+116161)/(x^3+29763*x^2-965*x-28799) lgdogf] A157610 9.51670 [-(x^2+29764*x+28799)/(x-1)^3 ogf] A157613 13.3218 [-(-x+243)/(-x^2+123*x-122) lgdogf] A157613 14.6812 [-22*(x-122)/(x-1)^2 ogf] A157613 18.0839 [-(-1342-x+11*(14884+22*x)^(1/2))/(22+x) revogf] A157613 30.6640 [-(-243+x)/(x-1)/(x-122) lgdogf] A157613 7.65295 [(11*f(x)+29525)*(f(x)*x^2-2*f(x)*x+f(x)+22*x-2684) ogf] A157613 8.17474 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2684,a(1)=5346} ogf] A157614 13.6974 [-(118097+57594*x+x^2)/(x-1)/(x^2+28796*x+29767) lgdogf] A157614 4.72411 [(105167513*f(x)-4206272136927)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+28796*x+29767) ogf] A157614 5.21152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29767,a(1)=118097,a(2)=264991} ogf] A157614 7.91147 [-(x^2+57594*x+118097)/(x^3+28795*x^2+971*x-29767) lgdogf] A157614 9.51670 [-(x^2+28796*x+29767)/(x-1)^3 ogf] A157618 10.9223 [-(314*x^2+883*x+53)/(x-1)^3 ogf] A157618 14.7294 [-2*(521+1197*x+157*x^2)/(x-1)/(314*x^2+883*x+53) lgdogf] A157618 4.97154 [(19428692187500*f(x)-10215308866872699)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+314*x^2-f(x)+883*x+53) ogf] A157618 6.05776 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=53,a(1)=1042,a(2)=3281} ogf] A157618 9.12499 [-(314*x^2+2394*x+1042)/(314*x^3+569*x^2-830*x-53) lgdogf] A157619 12.2561 [-(-443*x-807)/(-443*x^2+261*x+182) lgdogf] A157619 13.6702 [50*(443*x+182)/(x-1)^2 ogf] A157619 16.2150 [-(-4550-x+25*(33124+50*x)^(1/2))/(-22150+x) revogf] A157619 23.2415 [-(807+443*x)/(443*x+182)/(x-1) lgdogf] A157619 7.25357 [(25*f(x)+423749)*(f(x)*x^2-2*f(x)*x+f(x)-22150*x-9100) ogf] A157619 7.98709 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9100,a(1)=40350} ogf] A157620 4.22442 [(7771478125*f(x)-5107660444637421)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+392499*x^2-f(x)+1103752*x+66249) ogf] A157620 4.95049 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=66249,a(1)=1302499,a(2)=4101249} ogf] A157620 6.27389 [-(392499*x^2+2992502*x+1302499)/(392499*x^3+711253*x^2-1037503*x-66249) lgdogf] A157620 8.33767 [-(392499*x^2+1103752*x+66249)/(x-1)^3 ogf] A157620 9.41362 [-(1302499+2992502*x+392499*x^2)/(x-1)/(392499*x^2+1103752*x+66249) lgdogf] A157621 11.0273 [-(53*x^2+883*x+314)/(x-1)^3 ogf] A157621 15.5205 [-(1825+1872*x+53*x^2)/(x-1)/(53*x^2+883*x+314) lgdogf] A157621 5.01934 [(28604473437500*f(x)-20476674145787301)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+53*x^2-f(x)+883*x+314) ogf] A157621 6.06504 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=314,a(1)=1825,a(2)=4586} ogf] A157621 9.33083 [-(53*x^2+1872*x+1825)/(53*x^3+830*x^2-569*x-314) lgdogf] A157622 12.1060 [-(182*x+1068)/(182*x^2+261*x-443) lgdogf] A157622 13.7356 [50*(182*x+443)/(x-1)^2 ogf] A157622 15.9238 [-(-11075-x+25*(196249+50*x)^(1/2))/(-9100+x) revogf] A157622 22.6015 [-2*(534+91*x)/(182*x+443)/(x-1) lgdogf] A157622 7.28828 [(25*f(x)+586874)*(f(x)*x^2-2*f(x)*x+f(x)-9100*x-22150) ogf] A157622 7.93613 [{-a(n+2)+2*a(n+1)-a(n),a(0)=22150,a(1)=53400} ogf] A157623 4.22985 [(11441790625*f(x)-10238349321012579)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+66249*x^2-f(x)+1103752*x+392499) ogf] A157623 4.98400 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=392499,a(1)=2281249,a(2)=5732499} ogf] A157623 6.42936 [-(66249*x^2+2340002*x+2281249)/(66249*x^3+1037503*x^2-711253*x-392499) lgdogf] A157623 8.45968 [-(66249*x^2+1103752*x+392499)/(x-1)^3 ogf] A157623 9.70111 [-(2281249+2340002*x+66249*x^2)/(x-1)/(392499+1103752*x+66249*x^2) lgdogf] A157626 10.2106 [-(57*x^2+388*x+155)/(57*x^3+80*x^2-131*x-6) lgdogf] A157626 11.6464 [-(57*x^2+137*x+6)/(x-1)^3 ogf] A157626 17.4057 [-(155+388*x+57*x^2)/(x-1)/(57*x^2+137*x+6) lgdogf] A157626 5.52127 [(12136120000*f(x)-985507420749)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+57*x^2-f(x)+137*x+6) ogf] A157626 6.42562 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=155,a(2)=504} ogf] A157627 12.8901 [-(-151*x-249)/(-151*x^2+102*x+49) lgdogf] A157627 14.4066 [40*(151*x+49)/(x-1)^2 ogf] A157627 18.0218 [-(-980-x+20*(2401+20*x)^(1/2))/(-6040+x) revogf] A157627 24.8577 [-(249+151*x)/(151*x+49)/(x-1) lgdogf] A157627 7.6535 [(10*f(x)+42401)*(f(x)*x^2-2*f(x)*x+f(x)-6040*x-1960) ogf] A157627 8.34928 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1960,a(1)=9960} ogf] A157628 10.4876 [-(124001+310398*x+45601*x^2)/(x-1)/(45601*x^2+109598*x+4801) lgdogf] A157628 4.4581 [(242722000*f(x)-15767939054247)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+45601*x^2-f(x)+109598*x+4801) ogf] A157628 5.13573 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4801,a(1)=124001,a(2)=403201} ogf] A157628 6.82943 [-(45601*x^2+310398*x+124001)/(45601*x^3+63997*x^2-104797*x-4801) lgdogf] A157628 8.79405 [-(45601*x^2+109598*x+4801)/(x-1)^3 ogf] A157639 14.5176 [(-1+4*x^5-5*x^4-3*x^2+2*x^3-23*x^22+22*x^23)/(x-1)/(x^23+x^5+x^3+1) lgdogf] A157639 17.0913 [-(x^23+x^5+x^3+1)/(x-1) ogf] A157646 8.09159 [-(x-1)*(25*x^4+56*x^3+97*x^2+56*x+25)/(x^6-6*x^3+1) ogf] A157651 10.4519 [-(6*x^2+286*x+308)/(6*x^3+131*x^2-80*x-57) lgdogf] A157651 11.7584 [-(6*x^2+137*x+57)/(x-1)^3 ogf] A157651 17.1676 [-2*(154+143*x+3*x^2)/(x-1)/(6*x^2+137*x+57) lgdogf] A157651 5.61596 [(1770920000*f(x)-209085696441)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+137*x+57) ogf] A157651 6.43196 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=57,a(1)=308,a(2)=759} ogf] A157652 13.2441 [-(49*x+351)/(49*x^2+102*x-151) lgdogf] A157652 14.5425 [40*(49*x+151)/(x-1)^2 ogf] A157652 17.3287 [-(-3020-x+20*(22801+20*x)^(1/2))/(-1960+x) revogf] A157652 25.9931 [-(351+49*x)/(49*x+151)/(x-1) lgdogf] A157652 7.7257 [(10*f(x)+62801)*(f(x)*x^2-2*f(x)*x+f(x)-1960*x-6040) ogf] A157652 8.33335 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6040,a(1)=14040} ogf] A157653 10.7731 [-(246401+228798*x+4801*x^2)/(x-1)/(4801*x^2+109598*x+45601) lgdogf] A157653 4.50224 [(389602000*f(x)-36798652953753)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4801*x^2-f(x)+109598*x+45601) ogf] A157653 5.14541 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=45601,a(1)=246401,a(2)=607201} ogf] A157653 6.97120 [-(4801*x^2+228798*x+246401)/(4801*x^3+104797*x^2-63997*x-45601) lgdogf] A157653 8.88112 [-(4801*x^2+109598*x+45601)/(x-1)^3 ogf] A157659 13.4382 [-(101*x+99)/(x-1)^3 ogf] A157659 13.6825 [-(202*x+398)/(101*x^2-2*x-99) lgdogf] A157659 23.8131 [-2*(199+101*x)/(101*x+99)/(x-1) lgdogf] A157659 5.87921 [(23512120000*f(x)-3190001620899)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+101*x+99) ogf] A157659 6.43196 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=99,a(1)=398,a(2)=897} ogf] A157660 13.7346 [-(x+399)/(x^2+198*x-199) lgdogf] A157660 15.1361 [40*(x+199)/(x-1)^2 ogf] A157660 18.1951 [-(-3980-x+20*(39601+20*x)^(1/2))/(-40+x) revogf] A157660 33.0821 [-(399+x)/(x+199)/(x-1) lgdogf] A157660 7.89008 [(10*f(x)+79601)*(f(x)*x^2-2*f(x)*x+f(x)-40*x-7960) ogf] A157660 8.33335 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7960,a(1)=15960} ogf] A157661 13.2419 [-(318401+161598*x+x^2)/(x-1)/(x^2+80798*x+79201) lgdogf] A157661 4.63088 [(470242000*f(x)-51039429763497)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+80798*x+79201) ogf] A157661 5.14541 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=79201,a(1)=318401,a(2)=717601} ogf] A157661 7.62732 [-(x^2+161598*x+318401)/(x^3+80797*x^2-1597*x-79201) lgdogf] A157661 9.39597 [-(x^2+80798*x+79201)/(x-1)^3 ogf] A157663 13.7346 [-(-x+401)/(-x^2+202*x-201) lgdogf] A157663 15.1361 [-40*(x-201)/(x-1)^2 ogf] A157663 18.6617 [-(-4020-x+20*(40401+20*x)^(1/2))/(40+x) revogf] A157663 31.6437 [-(-401+x)/(x-1)/(x-201) lgdogf] A157663 7.89008 [(10*f(x)+80401)*(f(x)*x^2-2*f(x)*x+f(x)+40*x-8040) ogf] A157663 8.33335 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8040,a(1)=16040} ogf] A157664 13.2419 [-(321601+158398*x+x^2)/(x-1)/(x^2+79198*x+80801) lgdogf] A157664 4.63088 [(473762000*f(x)-51682634243503)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+79198*x+80801) ogf] A157664 5.14541 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=80801,a(1)=321601,a(2)=722401} ogf] A157664 7.62732 [-(x^2+158398*x+321601)/(x^3+79197*x^2+1603*x-80801) lgdogf] A157664 9.39597 [-(x^2+79198*x+80801)/(x-1)^3 ogf] A157665 10.8110 [-(354*x^2+1037*x+67)/(x-1)^3 ogf] A157665 14.4995 [-2*(619+1391*x+177*x^2)/(x-1)/(354*x^2+1037*x+67) lgdogf] A157665 4.96122 [(36403527810060*f(x)-22531802522397337)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+354*x^2-f(x)+1037*x+67) ogf] A157665 6.08689 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=67,a(1)=1238,a(2)=3867} ogf] A157665 9.16886 [-(354*x^2+2782*x+1238)/(354*x^3+683*x^2-970*x-67) lgdogf] A157666 12.6702 [-(-508*x-950)/(-508*x^2+287*x+221) lgdogf] A157666 14.1322 [27*(508*x+221)/(x-1)^2 ogf] A157666 14.4228 [-1/2*(-5967-2*x+27*(48841+108*x)^(1/2))/(-13716+x) revogf] A157666 22.5356 [-2*(475+254*x)/(508*x+221)/(x-1) lgdogf] A157666 7.49871 [(27*f(x)+290141)*(f(x)*x^2-2*f(x)*x+f(x)-13716*x-5967) ogf] A157666 8.25701 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5967,a(1)=25650} ogf] A157667 4.1698 [(2377917324*f(x)-1072944837011293)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+258065*x^2-f(x)+755975*x+48842) ogf] A157667 4.89212 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=48842,a(1)=902501,a(2)=2819042} ogf] A157667 6.27575 [-(258065*x^2+2028080*x+902501)/(258065*x^3+497910*x^2-707133*x-48842) lgdogf] A157667 8.28399 [-(258065*x^2+755975*x+48842)/(x-1)^3 ogf] A157667 9.51461 [-(902501+2028080*x+258065*x^2)/(x-1)/(258065*x^2+755975*x+48842) lgdogf] A157668 10.8628 [-(67*x^2+1037*x+354)/(x-1)^3 ogf] A157668 15.1903 [-(2099+2208*x+67*x^2)/(x-1)/(67*x^2+1037*x+354) lgdogf] A157668 4.98496 [(52414841779452*f(x)-43415566337697191)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+67*x^2-f(x)+1037*x+354) ogf] A157668 6.06504 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=354,a(1)=2099,a(2)=5302} ogf] A157668 9.33083 [-(67*x^2+2208*x+2099)/(67*x^3+970*x^2-683*x-354) lgdogf] A157669 11.9907 [-(221*x+1237)/(221*x^2+287*x-508) lgdogf] A157669 13.6048 [27*(221*x+508)/(x-1)^2 ogf] A157669 16.5201 [-(-6858-x+27*(64516+27*x)^(1/2))/(-5967+x) revogf] A157669 22.3821 [-(1237+221*x)/(221*x+508)/(x-1) lgdogf] A157669 7.21887 [(54*f(x)+789505)*(f(x)*x^2-2*f(x)*x+f(x)-5967*x-13716) ogf] A157669 7.86056 [{-a(n+2)+2*a(n+1)-a(n),a(0)=13716,a(1)=33399} ogf] A157670 4.23203 [(3423793212*f(x)-2067411557277443)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+48842*x^2-f(x)+755975*x+258065) ogf] A157670 4.88816 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=258065,a(1)=1530170,a(2)=3865157} ogf] A157670 6.36941 [-(48842*x^2+1609634*x+1530170)/(48842*x^3+707133*x^2-497910*x-258065) lgdogf] A157670 8.40763 [-(48842*x^2+755975*x+258065)/(x-1)^3 ogf] A157670 9.65950 [-2*(765085+804817*x+24421*x^2)/(x-1)/(258065+755975*x+48842*x^2) lgdogf] A157674 13.1481 [(4*x^2+x*(4*x^2+1)^(1/2)+1)/(3*x^2+1)/(4*x^2+1)^(3/2) lgdogf] A157674 8.07635 [3*f(x)^2*x^2-8*f(x)*x^2+f(x)^2+4*x^2-2*f(x)+1 ogf] A157681 10.4895 [-(-2*x^2-58*x-31)/(-2*x^3-31*x^2-27*x+29) lgdogf] A157681 15.7343 [-(2*x+29)/(x^2+x-1) ogf] A157681 17.7448 [1/2/(x+2)*(-29-x+(841+66*x+5*x^2)^(1/2)) revogf] A157681 20.2798 [-(31+58*x+2*x^2)/(2*x+29)/(x^2+x-1) lgdogf] A157681 7.69976 [-(89*f(x)-1620)*(f(x)*x^2+f(x)*x-f(x)+2*x+29) ogf] A157681 8.61640 [{-a(n+2)+a(n+1)+a(n),a(0)=29,a(1)=31} ogf] A157706 5.98427 [-(7*x^2+26*x+7)/(x-1)^7 ogf] A157706 8.37797 [-(35*x^2+170*x+75)/(7*x^3+19*x^2-19*x-7) lgdogf] A157707 10.1815 [-5*(41+138*x+4*x^3+69*x^2)/(x-1)/(5*x+1)/(x^2+13*x+16) lgdogf] A157707 5.20847 [-(5*x+1)*(x^2+13*x+16)/(x-1)^7 ogf] A157708 4.53197 [-(x^4+42*x^3+171*x^2+128*x+18)/(x-1)^7 ogf] A157708 7.41919 [-(254+1110*x+3*x^4+172*x^3+981*x^2)/(x-1)/(x^4+42*x^3+171*x^2+128*x+18) lgdogf] A157713 4.18609 [{(-16*n^2-80*n-84)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=10} ogf] A157713 9.71174 [hypergeom([1/2,5/2],[2],16*x) egf] A157716 10.2259 [-(-45*x^3-23*x^2-107*x-17)/(-15*x^4-2*x^3+2*x+15) lgdogf] A157716 15.0256 [-(17+107*x+45*x^3+23*x^2)/(x-1)/(x+1)/(15*x^2+2*x+15) lgdogf] A157716 9.73305 [-x*(15*x^2+2*x+15)/(x+1)^2/(x-1)^3 ogf] A157725 15.6951 [-(x+1)*(3*x-2)/(x-1)/(x^2+x-1) ogf] A157725 16.3397 [-(3-6*x+3*x^4+2*x^3)/(x-1)/(3*x-2)/(x+1)/(x^2+x-1) lgdogf] A157725 8.75621 [(5*f(x)+107)*(f(x)*x^3-2*f(x)*x+3*x^2+f(x)+x-2) ogf] A157725 8.84936 [{a(n+3)-2*a(n+2)+a(n),a(0)=2,a(1)=3,a(2)=3} ogf] A157725 9.45273 [-(3*x^4+2*x^3-6*x+3)/(3*x^5+x^4-8*x^3+x^2+5*x-2) lgdogf] A157726 15.1294 [-(4-8*x+4*x^4+4*x^3-x^2)/(x-1)/(4*x^2+2*x-3)/(x^2+x-1) lgdogf] A157726 15.6951 [-(4*x^2+2*x-3)/(x-1)/(x^2+x-1) ogf] A157726 8.75621 [(7*f(x)+379)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)+2*x-3) ogf] A157726 8.84936 [{a(n+3)-2*a(n+2)+a(n),a(0)=3,a(1)=4,a(2)=4} ogf] A157726 9.34652 [-(-4*x^4-4*x^3+x^2+8*x-4)/(-4*x^5-2*x^4+11*x^3-8*x+3) lgdogf] A157727 11.7161 [-f(x)*x^3+2*f(x)*x-5*x^2-f(x)-3*x+4 ogf] A157727 14.3331 [-(5-10*x+5*x^4+6*x^3-2*x^2)/(x-1)/(5*x^2+3*x-4)/(x^2+x-1) lgdogf] A157727 15.6951 [-(5*x^2+3*x-4)/(x-1)/(x^2+x-1) ogf] A157727 8.40242 [-(5*x^4+6*x^3-2*x^2-10*x+5)/(5*x^5+3*x^4-14*x^3-x^2+11*x-4) lgdogf] A157727 8.84936 [{a(n+3)-2*a(n+2)+a(n),a(0)=4,a(1)=5,a(2)=5} ogf] A157728 14.3341 [(x+1)^2/(x-1)/(x^2+x-1) ogf] A157728 18.1798 [-(-4+2*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A157728 7.9136 [(543*f(x)+16)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-2*x-1) ogf] A157728 8.08198 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A157728 9.49632 [-(x^3+3*x^2+2*x-4)/(x^4+x^3-2*x^2-x+1) lgdogf] A157729 14.3982 [-(6-12*x+6*x^4+8*x^3-3*x^2)/(x-1)/(6*x^2+4*x-5)/(x^2+x-1) lgdogf] A157729 15.7652 [-(6*x^2+4*x-5)/(x-1)/(x^2+x-1) ogf] A157729 8.43993 [-(-6*x^4-8*x^3+3*x^2+12*x-6)/(-6*x^5-4*x^4+17*x^3+2*x^2-14*x+5) lgdogf] A157729 8.61396 [(11*f(x)+2141)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)+4*x-5) ogf] A157729 8.88886 [{a(n+3)-2*a(n+2)+a(n),a(0)=5,a(1)=6,a(2)=6} ogf] A157730 11.1782 [-(135*x^2+659*x+88)/(x-1)^3 ogf] A157730 15.7343 [-(923+1588*x+135*x^2)/(x-1)/(135*x^2+659*x+88) lgdogf] A157730 5.15918 [(5613573486780*f(x)-2347401311190121)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+135*x^2-f(x)+659*x+88) ogf] A157730 6.25224 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=88,a(1)=923,a(2)=2640} ogf] A157730 9.45851 [-(135*x^2+1588*x+923)/(135*x^3+524*x^2-571*x-88) lgdogf] A157731 12.8925 [-(244*x+638)/(244*x^2-47*x-197) lgdogf] A157731 14.1322 [42*(244*x+197)/(x-1)^2 ogf] A157731 16.7706 [-(-4137-x+21*(38809+42*x)^(1/2))/(-10248+x) revogf] A157731 22.5356 [-2*(319+122*x)/(244*x+197)/(x-1) lgdogf] A157731 7.49871 [(21*f(x)+233290)*(f(x)*x^2-2*f(x)*x+f(x)-10248*x-8274) ogf] A157731 8.25701 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8274,a(1)=26796} ogf] A157732 4.1562 [(1060765671*f(x)-391232613018899)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+119071*x^2-f(x)+581236*x+77617) ogf] A157732 4.84344 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=77617,a(1)=814087,a(2)=2328481} ogf] A157732 6.21330 [-(119071*x^2+1400614*x+814087)/(119071*x^3+462165*x^2-503619*x-77617) lgdogf] A157732 8.20156 [-(119071*x^2+581236*x+77617)/(x-1)^3 ogf] A157732 9.41801 [-(814087+1400614*x+119071*x^2)/(x-1)/(119071*x^2+581236*x+77617) lgdogf] A157734 10.8173 [-(88*x^2+659*x+135)/(x-1)^3 ogf] A157734 15.2191 [-2*(532+747*x+44*x^2)/(x-1)/(88*x^2+659*x+135) lgdogf] A157734 4.9926 [(6194038593708*f(x)-2805174774259511)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+88*x^2-f(x)+659*x+135) ogf] A157734 5.94952 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=135,a(1)=1064,a(2)=2875} ogf] A157734 9.15310 [-(88*x^2+1494*x+1064)/(88*x^3+571*x^2-524*x-135) lgdogf] A157735 12.4114 [-(197*x+685)/(197*x^2+47*x-244) lgdogf] A157735 13.6048 [42*(197*x+244)/(x-1)^2 ogf] A157735 16.5201 [-(-5124-x+21*(59536+42*x)^(1/2))/(-8274+x) revogf] A157735 23.1282 [-(685+197*x)/(197*x+244)/(x-1) lgdogf] A157735 7.21887 [(21*f(x)+254017)*(f(x)*x^2-2*f(x)*x+f(x)-8274*x-10248) ogf] A157735 7.86056 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10248,a(1)=28770} ogf] A157736 4.17708 [(1170452955*f(x)-467528004303373)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+77617*x^2-f(x)+581236*x+119071) ogf] A157736 4.82975 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=119071,a(1)=938449,a(2)=2535751} ogf] A157736 6.30824 [-(77617*x^2+1317706*x+938449)/(77617*x^3+503619*x^2-462165*x-119071) lgdogf] A157736 8.24277 [-(77617*x^2+581236*x+119071)/(x-1)^3 ogf] A157736 9.61657 [-(938449+1317706*x+77617*x^2)/(x-1)/(77617*x^2+581236*x+119071) lgdogf] A157737 12.5861 [-(443*x+439)/(x-1)^3 ogf] A157737 12.5861 [-(886*x+1760)/(443*x^2-4*x-439) lgdogf] A157737 21.9858 [-2*(880+443*x)/(443*x+439)/(x-1) lgdogf] A157737 5.35379 [(8911109306988*f(x)-5339071938058015)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+443*x+439) ogf] A157737 5.97840 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=439,a(1)=1760,a(2)=3963} ogf] A157738 13.1009 [-(x+881)/(x^2+439*x-440) lgdogf] A157738 14.1490 [42*(x+440)/(x-1)^2 ogf] A157738 16.9230 [-(-9240-x+21*(193600+42*x)^(1/2))/(-42+x) revogf] A157738 31.5384 [-(881+x)/(x+440)/(x-1) lgdogf] A157738 7.36926 [(21*f(x)+388081)*(f(x)*x^2-2*f(x)*x+f(x)-42*x-18480) ogf] A157738 7.86056 [{-a(n+2)+2*a(n+1)-a(n),a(0)=18480,a(1)=37002} ogf] A157739 11.9399 [-(1552321+781450*x+x^2)/(x-1)/(x^2+390724*x+387199) lgdogf] A157739 4.31458 [(1683882795*f(x)-889843185072029)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+390724*x+387199) ogf] A157739 4.81627 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=387199,a(1)=1552321,a(2)=3495367} ogf] A157739 7.06022 [-(x^2+781450*x+1552321)/(x^3+390723*x^2-3525*x-387199) lgdogf] A157739 8.75069 [-(x^2+390724*x+387199)/(x-1)^3 ogf] A157740 13.1009 [-(-x+883)/(-x^2+443*x-442) lgdogf] A157740 14.1490 [-42*(x-442)/(x-1)^2 ogf] A157740 17.3461 [-(-9282-x+21*(195364+42*x)^(1/2))/(42+x) revogf] A157740 30.1672 [-(-883+x)/(x-1)/(x-442) lgdogf] A157740 7.36926 [(21*f(x)+389845)*(f(x)*x^2-2*f(x)*x+f(x)+42*x-18564) ogf] A157740 7.86056 [{-a(n+2)+2*a(n+1)-a(n),a(0)=18564,a(1)=37086} ogf] A157741 11.9399 [-(1559377+774394*x+x^2)/(x-1)/(x^2+387196*x+390727) lgdogf] A157741 4.31458 [(1689587571*f(x)-894911455487029)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+387196*x+390727) ogf] A157741 4.81627 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=390727,a(1)=1559377,a(2)=3505951} ogf] A157741 7.06022 [-(x^2+774394*x+1559377)/(x^3+387195*x^2+3531*x-390727) lgdogf] A157741 8.75069 [-(x^2+387196*x+390727)/(x-1)^3 ogf] A157746 11.9801 [1/(x^11+x^10+x^6+x^5+x^4+x^2+1) ogf] A157746 13.7610 [-x*(2+6*x^4+5*x^3+4*x^2+10*x^8+11*x^9)/(1+x^2+x^4+x^5+x^6+x^10+x^11) lgdogf] A157748 7.52553 [-(-2+2*x-14*x^6+6*x^5+11*x^10-10*x^9+5*x^4+4*x^3)/(x^2-1-2*x+x^11+x^5+x^4-2*x^7+x^6-x^10) lgdogf] A157748 7.66807 [-1/(x^11-x^10-2*x^7+x^6+x^5+x^4+x^2-2*x-1) ogf] A157757 12.6754 [-2*(1949+5529*x+949*x^2)/(x-1)/(1898*x^2+3631*x+89) lgdogf] A157757 4.34063 [(7032219462821516*f(x)-15254463862644404559)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1898*x^2-f(x)+3631*x+89) ogf] A157757 5.49813 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=89,a(1)=3898,a(2)=13325} ogf] A157757 7.85448 [-(1898*x^2+11058*x+3898)/(1898*x^3+1733*x^2-3542*x-89) lgdogf] A157757 9.70259 [-(1898*x^2+3631*x+89)/(x-1)^3 ogf] A157758 10.2796 [-(-2309*x-3309)/(-2309*x^2+1809*x+500) lgdogf] A157758 11.8026 [106*(2309*x+500)/(x-1)^2 ogf] A157758 13.2864 [-(-26500-x+53*(250000+106*x)^(1/2))/(-244754+x) revogf] A157758 18.9231 [-(3309+2309*x)/(2309*x+500)/(x-1) lgdogf] A157758 6.31027 [(53*f(x)+8140481)*(f(x)*x^2-2*f(x)*x+f(x)-244754*x-53000) ogf] A157758 7.00371 [{-a(n+2)+2*a(n+1)-a(n),a(0)=53000,a(1)=350754} ogf] A157759 3.95663 [(625865034349*f(x)-7627232364465067389)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10662963*x^2-f(x)+20398960*x+500001) ogf] A157759 4.80231 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=500001,a(1)=21898963,a(2)=74859849} ogf] A157759 7.86379 [-(10662963*x^2+20398960*x+500001)/(x-1)^3 ogf] A157759 8.33946 [-(21898963+62123846*x+10662963*x^2)/(x-1)/(10662963*x^2+20398960*x+500001) lgdogf] A157760 13.6065 [-(9325+7440*x+89*x^2)/(x-1)/(89*x^2+3631*x+1898) lgdogf] A157760 4.47276 [(102447575035852*f(x)-354345106288410021)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+89*x^2-f(x)+3631*x+1898) ogf] A157760 5.46262 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1898,a(1)=9325,a(2)=22370} ogf] A157760 8.22765 [-(89*x^2+7440*x+9325)/(89*x^3+3542*x^2-1733*x-1898) lgdogf] A157760 9.80059 [-(89*x^2+3631*x+1898)/(x-1)^3 ogf] A157761 10.5537 [-(500*x+5118)/(500*x^2+1809*x-2309) lgdogf] A157761 11.9218 [106*(500*x+2309)/(x-1)^2 ogf] A157761 13.1438 [-(-122377-x+53*(5331481+106*x)^(1/2))/(-53000+x) revogf] A157761 18.5559 [-2*(2559+250*x)/(500*x+2309)/(x-1) lgdogf] A157761 6.31152 [(53*f(x)+13221962)*(f(x)*x^2-2*f(x)*x+f(x)-53000*x-244754) ogf] A157761 6.99757 [{-a(n+2)+2*a(n+1)-a(n),a(0)=244754,a(1)=542508} ogf] A157762 3.74073 [(162817816999*f(x)-3163795778970725877)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+500001*x^2-f(x)+20398960*x+10662963) ogf] A157762 4.43863 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10662963,a(1)=52387849,a(2)=125674659} ogf] A157762 7.43471 [-(500001*x^2+20398960*x+10662963)/(x-1)^3 ogf] A157762 8.09721 [-(52387849+41797922*x+500001*x^2)/(x-1)/(500001*x^2+20398960*x+10662963) lgdogf] A157765 10.5758 [-(7*x^2-14*x-9)/(7*x^3+3*x^2-11*x+1) lgdogf] A157765 15.1740 [2*(x-1)/(7*x^2+10*x-1) ogf] A157765 18.0532 [(-1-5*x+(1+8*x+32*x^2)^(1/2))/(-2+7*x) revogf] A157765 18.5411 [-(-9-14*x+7*x^2)/(x-1)/(7*x^2+10*x-1) lgdogf] A157765 7.58702 [-(52*f(x)-23)*(7*f(x)*x^2+10*f(x)*x-f(x)-2*x+2) ogf] A157765 8.30958 [{-a(n+2)+10*a(n+1)+7*a(n),a(0)=2,a(1)=18} ogf] A157768 11.5157 [-2*(22304+52315*x+7056*x^2)/(x-1)/(14112*x^2+38203*x+2135) lgdogf] A157768 4.12692 [(69152217452919067500*f(x)-1570279916649843040592543)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14112*x^2-f(x)+38203*x+2135) ogf] A157768 5.49148 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2135,a(1)=44608,a(2)=141531} ogf] A157768 7.40155 [-(14112*x^2+104630*x+44608)/(14112*x^3+24091*x^2-36068*x-2135) lgdogf] A157768 9.45754 [-(14112*x^2+38203*x+2135)/(x-1)^3 ogf] A157769 11.4423 [330*(19601*x+7624)/(x-1)^2 ogf] A157769 12.0726 [-(-1257960-x+165*(58125376+330*x)^(1/2))/(-6468330+x) revogf] A157769 17.2931 [-(34849+19601*x)/(19601*x+7624)/(x-1) lgdogf] A157769 6.09542 [(165*f(x)+799326001)*(f(x)*x^2-2*f(x)*x+f(x)-6468330*x-2515920) ogf] A157769 6.86536 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2515920,a(1)=11500170} ogf] A157769 9.73446 [-(-19601*x-34849)/(-19601*x^2+11977*x+7624) lgdogf] A157770 4.05073 [(211668862708875*f(x)-261713319279615405290749)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+768398401*x^2-f(x)+2080153348*x+116250751) ogf] A157770 5.07809 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=116250751,a(1)=2428905601,a(2)=7706362951} ogf] A157770 8.14857 [-(768398401*x^2+2080153348*x+116250751)/(x-1)^3 ogf] A157786 10.5520 [-(2135*x^2+38203*x+14112)/(x-1)^3 ogf] A157786 13.3288 [-(80539+80676*x+2135*x^2)/(x-1)/(2135*x^2+38203*x+14112) lgdogf] A157786 4.57676 [(103955019148523317500*f(x)-3265755593908588015357057)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2135*x^2-f(x)+38203*x+14112) ogf] A157786 6.07794 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14112,a(1)=80539,a(2)=201416} ogf] A157787 11.4423 [330*(7624*x+19601)/(x-1)^2 ogf] A157787 11.8490 [-(-3234165-x+165*(384199201+330*x)^(1/2))/(-2515920+x) revogf] A157787 16.8380 [-2*(23413+3812*x)/(7624*x+19601)/(x-1) lgdogf] A157787 6.03898 [(165*f(x)+1125399826)*(f(x)*x^2-2*f(x)*x+f(x)-2515920*x-6468330) ogf] A157787 6.86536 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6468330,a(1)=15452580} ogf] A157788 3.48829 [(318197181336375*f(x)-544292598641660555697251)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+116250751*x^2-f(x)+2080153348*x+768398401) ogf] A157788 4.34154 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=768398401,a(1)=4385348551,a(2)=10967101201} ogf] A157788 7.01714 [-(116250751*x^2+2080153348*x+768398401)/(x-1)^3 ogf] A157791 11.7980 [-(x^2-x+1)*(x^23+x^22-x^20-x^19+x^17+x^16-x^14-x^13+x^11+x^10+x^2+x+1)/(x-1) ogf] A157792 7.24032 [(x^11-x^9-x^7+x^6-x^5+x^4-x^3+x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A157796 11.1249 [-2*(43024+37979*x+672*x^2)/(x-1)/(1344*x^2+36635*x+16471) lgdogf] A157796 3.89755 [(109037914207515067500*f(x)-3556255935864222588766207)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1344*x^2-f(x)+36635*x+16471) ogf] A157796 5.17596 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16471,a(1)=86048,a(2)=210075} ogf] A157796 8.98604 [-(1344*x^2+36635*x+16471)/(x-1)^3 ogf] A157797 11.4423 [330*(6049*x+21176)/(x-1)^2 ogf] A157797 11.8490 [-(-3494040-x+165*(448422976+330*x)^(1/2))/(-1996170+x) revogf] A157797 17.7735 [-(48401+6049*x)/(6049*x+21176)/(x-1) lgdogf] A157797 6.03898 [(165*f(x)+1189623601)*(f(x)*x^2-2*f(x)*x+f(x)-1996170*x-6988080) ogf] A157797 6.86536 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6988080,a(1)=15972330} ogf] A157798 3.50857 [(333755476588875*f(x)-592709322270707059181501)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+73180801*x^2-f(x)+1994775748*x+896845951) ogf] A157798 4.34154 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=896845951,a(1)=4685313601,a(2)=11438583751} ogf] A157798 7.09969 [-(73180801*x^2+1994775748*x+896845951)/(x-1)^3 ogf] A157802 11.4891 [-2*(15232+54359*x+12084*x^2)/(x-1)/(24168*x^2+30191*x+91) lgdogf] A157802 4.09761 [(54158920066813567500*f(x)-1046794192029196249016443)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24168*x^2-f(x)+30191*x+91) ogf] A157802 5.47467 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=91,a(1)=30464,a(2)=115287} ogf] A157802 9.54157 [-(24168*x^2+30191*x+91)/(x-1)^3 ogf] A157803 11.4810 [330*(25651*x+1574)/(x-1)^2 ogf] A157803 12.3642 [-(-259710-x+165*(2477476+330*x)^(1/2))/(-8464830+x) revogf] A157803 17.0425 [-(28799+25651*x)/(25651*x+1574)/(x-1) lgdogf] A157803 6.06544 [(165*f(x)+743678101)*(f(x)*x^2-2*f(x)*x+f(x)-8464830*x-519420) ogf] A157803 6.91329 [{-a(n+2)+2*a(n+1)-a(n),a(0)=519420,a(1)=9503670} ogf] A157804 3.44268 [(165775696543875*f(x)-174465698571055540143749)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1315947601*x^2-f(x)+1643899948*x+4954951) ogf] A157804 4.35398 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4954951,a(1)=1658764801,a(2)=6277377151} ogf] A157804 6.96636 [-(1315947601*x^2+1643899948*x+4954951)/(x-1)^3 ogf] A157810 10.8880 [-(1+6*x+2*x^6+6*x^5+8*x^3+3*x^4+6*x^2)/(x-1)/(1+x)/(x^2+1)/(2*x^3+3*x^2+x+2) lgdogf] A157810 14.8346 [-(2*x^3+3*x^2+x+2)/(x-1)/(x+1)/(x^2+1) ogf] A157810 9.29203 [-(316*f(x)-133)*(f(x)*x^4+2*x^3+3*x^2-f(x)+x+2) ogf] A157814 10.6592 [-(27227*x+27223)/(x-1)^3 ogf] A157814 15.9335 [-2*(54448+27227*x)/(27227*x+27223)/(x-1) lgdogf] A157814 4.19492 [(129649742992755067500*f(x)-4800920313108926084039743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+27227*x+27223) ogf] A157814 5.16043 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27223,a(1)=108896,a(2)=245019} ogf] A157815 12.3058 [330*(x+27224)/(x-1)^2 ogf] A157815 12.7969 [-(-4491960-x+165*(741146176+330*x)^(1/2))/(-330+x) revogf] A157815 24.6094 [-(54449+x)/(x+27224)/(x-1) lgdogf] A157815 6.27125 [(165*f(x)+1482346801)*(f(x)*x^2-2*f(x)*x+f(x)-330*x-8983920) ogf] A157815 6.86536 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8983920,a(1)=17968170} ogf] A157816 3.65246 [(396846473788875*f(x)-800153385013698389874749)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1482510148*x+1482292351) ogf] A157816 4.33076 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1482292351,a(1)=5929387201,a(2)=13341284551} ogf] A157816 7.67477 [-(x^2+1482510148*x+1482292351)/(x-1)^3 ogf] A157820 10.6592 [-(27223*x+27227)/(x-1)^3 ogf] A157820 15.9335 [-2*(54452+27223*x)/(27223*x+27227)/(x-1) lgdogf] A157820 4.24976 [(18522406580940652500*f(x)-685908859045149006868901)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+27223*x+27227) ogf] A157820 5.16043 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27227,a(1)=108904,a(2)=245031} ogf] A157821 12.3058 [-330*(x-27226)/(x-1)^2 ogf] A157821 13.0581 [-(-4492290-x+165*(741255076+330*x)^(1/2))/(330+x) revogf] A157821 23.6980 [-(-54451+x)/(x-1)/(x-27226) lgdogf] A157821 6.27125 [(165*f(x)+1482455701)*(f(x)*x^2-2*f(x)*x+f(x)+330*x-8984580) ogf] A157821 6.86536 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8984580,a(1)=17968830} ogf] A157822 3.65246 [(396868215673875*f(x)-800227001714837113708501)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+1482292348*x+1482510151) ogf] A157822 4.33076 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1482510151,a(1)=5929822801,a(2)=13341937951} ogf] A157822 7.67477 [-(x^2+1482292348*x+1482510151)/(x-1)^3 ogf] A157823 14.6219 [1/(2*x-1)/(9*x-5) lgdogf] A157823 14.8642 [2*f(x)*x-f(x)+9*x-5 ogf] A157823 18.0781 [-(9*x-5)/(2*x-1) ogf] A157823 6.71816 [5/18-1/9*x-1/18*(25+16*x+4*x^2)^(1/2) revogf] A157823 9.29011 [{-a(n+2)+2*a(n+1),a(0)=-5,a(1)=-1} ogf] A157824 12.8061 [-(4063+14372*x+3165*x^2)/(x-1)/(3165*x^2+4021*x+14) lgdogf] A157824 4.35582 [(16646487707520000*f(x)-42672028252144345649)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3165*x^2-f(x)+4021*x+14) ogf] A157824 5.55367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=4063,a(2)=15312} ogf] A157824 9.80059 [-(3165*x^2+4021*x+14)/(x-1)^3 ogf] A157825 10.7082 [240*(6751*x+449)/(x-1)^2 ogf] A157825 11.9857 [-(-53880-x+120*(201601+120*x)^(1/2))/(-1620240+x) revogf] A157825 17.7969 [-(7649+6751*x)/(6751*x+449)/(x-1) lgdogf] A157825 5.76598 [(60*f(x)+52041601)*(f(x)*x^2-2*f(x)*x+f(x)-1620240*x-107760) ogf] A157825 6.44798 [{-a(n+2)+2*a(n+1)-a(n),a(0)=107760,a(1)=1835760} ogf] A157826 3.67204 [(62911896000*f(x)-4644574465300316801)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+91152001*x^2-f(x)+115804798*x+403201) ogf] A157826 4.38989 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=403201,a(1)=117014401,a(2)=440985601} ogf] A157826 7.20809 [-(91152001*x^2+115804798*x+403201)/(x-1)^3 ogf] A157828 11.5795 [1/(24*x^12+440*x^9+264*x^6+1) ogf] A157828 13.3287 [-72*x^5*(22+55*x^3+4*x^6)/(1+264*x^6+440*x^9+24*x^12) lgdogf] A157830 10.2546 [1/(x^24+759*x^16+2576*x^12+759*x^8+1) ogf] A157830 11.2369 [-24*x^7*(253+1288*x^4+506*x^8+x^16)/(1+759*x^8+2576*x^12+759*x^16+x^24) lgdogf] A157838 12.8061 [-(4843+14216*x+2541*x^2)/(x-1)/(2541*x^2+4567*x+92) lgdogf] A157838 4.35582 [(18597081755520000*f(x)-51018964224413786351)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2541*x^2-f(x)+4567*x+92) ogf] A157838 5.55367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=92,a(1)=4843,a(2)=16794} ogf] A157838 9.80059 [-(2541*x^2+4567*x+92)/(x-1)^3 ogf] A157839 10.7082 [240*(6049*x+1151)/(x-1)^2 ogf] A157839 11.5156 [-(-138120-x+120*(1324801+120*x)^(1/2))/(-1451760+x) revogf] A157839 17.2735 [-(8351+6049*x)/(6049*x+1151)/(x-1) lgdogf] A157839 5.76598 [(60*f(x)+53164801)*(f(x)*x^2-2*f(x)*x+f(x)-1451760*x-276240) ogf] A157839 6.44798 [{-a(n+2)+2*a(n+1)-a(n),a(0)=276240,a(1)=2004240} ogf] A157840 3.59534 [(3443904024000*f(x)-272101140191641168751)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+73180801*x^2-f(x)+131529598*x+2649601) ogf] A157840 4.40026 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2649601,a(1)=139478401,a(2)=483667201} ogf] A157840 7.19067 [-(73180801*x^2+131529598*x+2649601)/(x-1)^3 ogf] A157840 7.41121 [-(139478401+409420798*x+73180801*x^2)/(x-1)/(73180801*x^2+131529598*x+2649601) lgdogf] A157842 12.6239 [-(5379+14044*x+2177*x^2)/(x-1)/(2177*x^2+4845*x+178) lgdogf] A157842 4.34918 [(19901210267520000*f(x)-57188169971156186801)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2177*x^2-f(x)+4845*x+178) ogf] A157842 5.53531 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=178,a(1)=5379,a(2)=17780} ogf] A157842 9.70684 [-(2177*x^2+4845*x+178)/(x-1)^3 ogf] A157843 10.7082 [240*(5599*x+1601)/(x-1)^2 ogf] A157843 11.5156 [-(-192120-x+120*(2563201+120*x)^(1/2))/(-1343760+x) revogf] A157843 17.2735 [-(8801+5599*x)/(5599*x+1601)/(x-1) lgdogf] A157843 5.76598 [(60*f(x)+54403201)*(f(x)*x^2-2*f(x)*x+f(x)-1343760*x-384240) ogf] A157843 6.44798 [{-a(n+2)+2*a(n+1)-a(n),a(0)=384240,a(1)=2112240} ogf] A157844 3.59534 [(3685409304000*f(x)-305003570511387358001)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+62697601*x^2-f(x)+139535998*x+5126401) ogf] A157844 4.40026 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5126401,a(1)=154915201,a(2)=512064001} ogf] A157844 7.19067 [-(62697601*x^2+139535998*x+5126401)/(x-1)^3 ogf] A157853 13.1328 [-2*(5688+5023*x+89*x^2)/(x-1)/(2177+4845*x+178*x^2) lgdogf] A157853 4.40711 [(33331419803520000*f(x)-143732709965240670799)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+178*x^2-f(x)+4845*x+2177) ogf] A157853 5.55367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2177,a(1)=11376,a(2)=27775} ogf] A157853 9.90001 [-(178*x^2+4845*x+2177)/(x-1)^3 ogf] A157854 10.7634 [240*(1601*x+5599)/(x-1)^2 ogf] A157854 11.5762 [-(-671880-x+120*(31348801+120*x)^(1/2))/(-384240+x) revogf] A157854 16.8682 [-(12799+1601*x)/(1601*x+5599)/(x-1) lgdogf] A157854 5.7957 [(60*f(x)+83188801)*(f(x)*x^2-2*f(x)*x+f(x)-384240*x-1343760) ogf] A157854 6.41227 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1343760,a(1)=3071760} ogf] A157855 3.70329 [(28444632000*f(x)-3532601134766473447)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5126401*x^2-f(x)+139535998*x+62697601) ogf] A157855 4.38908 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=62697601,a(1)=327628801,a(2)=799920001} ogf] A157855 7.22593 [-(5126401*x^2+139535998*x+62697601)/(x-1)^3 ogf] A157857 11.5780 [-(3601*x+3599)/(x-1)^3 ogf] A157857 18.6048 [-2*(7199+3601*x)/(3601*x+3599)/(x-1) lgdogf] A157857 4.71105 [(39634832027520000*f(x)-194062669436819552399)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3601*x+3599) ogf] A157857 5.55367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3599,a(1)=14398,a(2)=32397} ogf] A157858 11.4310 [240*(x+7199)/(x-1)^2 ogf] A157858 12.3642 [-(-863880-x+120*(51825601+120*x)^(1/2))/(-240+x) revogf] A157858 23.7392 [-(14399+x)/(x+7199)/(x-1) lgdogf] A157858 5.93965 [(60*f(x)+103665601)*(f(x)*x^2-2*f(x)*x+f(x)-240*x-1727760) ogf] A157858 6.44515 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1727760,a(1)=3455760} ogf] A157859 3.73942 [(7339783704000*f(x)-1035000894333496361999)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+103708798*x+103651201) ogf] A157859 4.39932 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=103651201,a(1)=414662401,a(2)=933033601} ogf] A157859 7.77022 [-(x^2+103708798*x+103651201)/(x-1)^3 ogf] A157861 11.5780 [-(3599*x+3601)/(x-1)^3 ogf] A157861 18.6048 [-2*(7201+3599*x)/(3599*x+3601)/(x-1) lgdogf] A157861 4.71105 [(39643043483520000*f(x)-194130190001004512401)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3599*x+3601) ogf] A157861 5.55367 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3601,a(1)=14402,a(2)=32403} ogf] A157862 11.4310 [-240*(x-7201)/(x-1)^2 ogf] A157862 12.6272 [-(-864120-x+120*(51854401+120*x)^(1/2))/(240+x) revogf] A157862 22.8261 [-(-14401+x)/(x-1)/(x-7201) lgdogf] A157862 5.93965 [(60*f(x)+103694401)*(f(x)*x^2-2*f(x)*x+f(x)+240*x-1728240) ogf] A157862 6.44515 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1728240,a(1)=3456240} ogf] A157863 3.73942 [(7341304344000*f(x)-1035361004005831722001)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+103651198*x+103708801) ogf] A157863 4.39932 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=103708801,a(1)=414777601,a(2)=933206401} ogf] A157863 7.77022 [-(x^2+103651198*x+103708801)/(x-1)^3 ogf] A157870 14.9440 [-2*(3*x^2+12*x+1)/(x-1)^3 ogf] A157870 25.3116 [-3*(5+10*x+x^2)/(x-1)/(3*x^2+12*x+1) lgdogf] A157870 7.91907 [(592*f(x)-8609)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+24*x+2) ogf] A157870 8.12746 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=30,a(2)=90} ogf] A157872 12.9822 [3*(x^2-5*x-2)/(x-1)^3 ogf] A157872 24.6829 [-(-11-8*x+x^2)/(x-1)/(x^2-5*x-2) lgdogf] A157872 6.82116 [(724*f(x)-11499)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+15*x+6) ogf] A157872 7.06050 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=33,a(2)=78} ogf] A157874 11.7183 [-104*x/(x-1)/(x^2-674*x+1) ogf] A157874 4.93912 [{a(n+3)-675*a(n+2)+675*a(n+1)-a(n),a(0)=0,a(1)=104,a(2)=70200} ogf] A157874 7.2004 [f(x)*x^3-675*f(x)*x^2+675*f(x)*x-f(x)+104*x ogf] A157876 11.6042 [1/(x^11+x^9+x^7+x^6+x^5+x+1) ogf] A157876 12.5076 [-(1+7*x^6+6*x^5+5*x^4+11*x^10+9*x^8)/(x^5+1+x+x^7+x^6+x^11+x^9) lgdogf] A157877 14.1045 [-(x-1)/(x^2-30*x+1) ogf] A157877 6.97641 [-(868*f(x)-27)*(f(x)*x^2-30*f(x)*x+f(x)+x-1) ogf] A157877 7.72387 [{a(n+2)-30*a(n+1)+a(n),a(0)=1,a(1)=29} ogf] A157878 14.1045 [(x+1)/(x^2-30*x+1) ogf] A157878 7.28995 [(928*f(x)+33)*(f(x)*x^2-30*f(x)*x+f(x)-x-1) ogf] A157878 7.72387 [{-a(n+2)+30*a(n+1)-a(n),a(0)=1,a(1)=31} ogf] A157879 12.0704 [-120*x/(x-1)/(x^2-898*x+1) ogf] A157879 5.04580 [{a(n+3)-899*a(n+2)+899*a(n+1)-a(n),a(0)=0,a(1)=120,a(2)=107880} ogf] A157879 7.41672 [f(x)*x^3-899*f(x)*x^2+899*f(x)*x-f(x)+120*x ogf] A157880 12.0988 [-136*x/(x-1)/(x^2-1154*x+1) ogf] A157880 5.17127 [{a(n+3)-1155*a(n+2)+1155*a(n+1)-a(n),a(0)=0,a(1)=136,a(2)=157080} ogf] A157880 7.54397 [f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x-f(x)+136*x ogf] A157881 10.2209 [-152*x/(x-1)/(x^2-1442*x+1) ogf] A157881 4.36863 [{a(n+3)-1443*a(n+2)+1443*a(n+1)-a(n),a(0)=0,a(1)=152,a(2)=219336} ogf] A157881 6.37305 [f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x-f(x)+152*x ogf] A157888 11.6607 [-9*(x+5)*(x+2)/(x-1)^3 ogf] A157888 22.5090 [-(37+16*x+x^2)/(x+5)/(x-1)/(x+2) lgdogf] A157888 6.27882 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=90,a(1)=333,a(2)=738} ogf] A157888 6.84269 [(2108*f(x)-210105)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+63*x+90) ogf] A157889 12.3548 [-(x^2+16*x+19)/(x-1)^3 ogf] A157889 22.4588 [-(73+34*x+x^2)/(x-1)/(x^2+16*x+19) lgdogf] A157889 6.70995 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=73,a(2)=163} ogf] A157889 7.0042 [(529*f(x)-12331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+16*x+19) ogf] A157909 11.6607 [9*(x^2-11*x-8)/(x-1)^3 ogf] A157909 21.1849 [-(-35-20*x+x^2)/(x-1)/(x^2-11*x-8) lgdogf] A157909 6.27882 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=72,a(1)=315,a(2)=720} ogf] A157909 6.95769 [(428*f(x)-51741)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+99*x+72) ogf] A157910 12.3548 [(x^2-20*x-17)/(x-1)^3 ogf] A157910 21.8171 [-(-71-38*x+x^2)/(x-1)/(x^2-20*x-17) lgdogf] A157910 6.70995 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=71,a(2)=161} ogf] A157910 7.0042 [(533*f(x)-13681)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+20*x+17) ogf] A157912 11.3665 [-16*(x^2+2*x+5)/(x-1)^3 ogf] A157912 23.0039 [-(17+6*x+x^2)/(x-1)/(x^2+2*x+5) lgdogf] A157912 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=80,a(1)=272,a(2)=592} ogf] A157912 7.12767 [(29*f(x)-1990)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+32*x+80) ogf] A157913 11.3665 [16*(x^2-6*x-3)/(x-1)^3 ogf] A157913 21.6097 [-(-15-10*x+x^2)/(x-1)/(x^2-6*x-3) lgdogf] A157913 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=48,a(1)=240,a(2)=560} ogf] A157913 7.06777 [(63*f(x)-15299)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-16*x^2-f(x)+96*x+48) ogf] A157914 12.8002 [(x^2-10*x-7)/(x-1)^3 ogf] A157914 22.8991 [-(-31-18*x+x^2)/(x-1)/(x^2-10*x-7) lgdogf] A157914 6.90098 [(68*f(x)-821)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+10*x+7) ogf] A157914 6.96152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=31,a(2)=71} ogf] A157915 11.0799 [-25*(x^2+23*x+26)/(x-1)^3 ogf] A157915 20.4974 [-(101+48*x+x^2)/(x-1)/(x^2+23*x+26) lgdogf] A157915 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=650,a(1)=2525,a(2)=5650} ogf] A157915 6.59873 [(5884*f(x)-4829225)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+575*x+650) ogf] A157916 11.8071 [-(x^2+48*x+51)/(x-1)^3 ogf] A157916 20.8402 [-(201+98*x+x^2)/(x-1)/(x^2+48*x+51) lgdogf] A157916 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=51,a(1)=201,a(2)=451} ogf] A157916 6.88591 [(1473*f(x)-98443)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+48*x+51) ogf] A157918 11.0273 [25*(x^2-27*x-24)/(x-1)^3 ogf] A157918 20.3984 [-(-99-52*x+x^2)/(x-1)/(x^2-27*x-24) lgdogf] A157918 6.06504 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=600,a(1)=2475,a(2)=5600} ogf] A157918 6.57028 [(5916*f(x)-5204225)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-25*x^2-f(x)+675*x+600) ogf] A157919 11.8071 [(x^2-52*x-49)/(x-1)^3 ogf] A157919 19.7137 [-(-199-102*x+x^2)/(x-1)/(x^2-52*x-49) lgdogf] A157919 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=49,a(1)=199,a(2)=449} ogf] A157919 6.94377 [(211*f(x)-14599)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+52*x+49) ogf] A157921 17.7092 [(x+71)/(x-1)^2 ogf] A157921 20.4974 [-1/2*(-71-2*x+(5041+288*x)^(1/2))/(x-1) revogf] A157921 38.0666 [-(143+x)/(x+71)/(x-1) lgdogf] A157921 8.85463 [(144*f(x)+10225)*(f(x)*x^2-2*f(x)*x+f(x)-x-71) ogf] A157921 9.58382 [{-a(n+2)+2*a(n+1)-a(n),a(0)=71,a(1)=143} ogf] A157923 13.5245 [-2*(25*x+24)/(x-1)^3 ogf] A157923 28.0541 [-(97+50*x)/(25*x+24)/(x-1) lgdogf] A157923 6.14751 [(42192773*f(x)-2797741854)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+50*x+48) ogf] A157923 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=48,a(1)=194,a(2)=438} ogf] A157924 17.4402 [(x+97)/(x-1)^2 ogf] A157924 20.1823 [-1/2*(-97-2*x+(9409+392*x)^(1/2))/(x-1) revogf] A157924 37.4815 [-(195+x)/(x+97)/(x-1) lgdogf] A157924 8.72009 [(196*f(x)+19013)*(f(x)*x^2-2*f(x)*x+f(x)-x-97) ogf] A157924 9.43821 [{-a(n+2)+2*a(n+1)-a(n),a(0)=97,a(1)=195} ogf] A157928 11.9754 [{-a(n+3)+a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A157928 121.585 [-1/(x-1) lgdogf] A157928 21.8219 [f(x)*x+x^2-f(x) ogf] A157928 33.8616 [-x^2/(x-1) ogf] A157928 75.3820 [[1] ogf_with_Euler_transform] A157932 11.2272 [2*x*(2*x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A157932 4.20301 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=4,a(2)=6,a(3)=8} ogf] A157932 6.16229 [(f(x)-2)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-4*x^3-2*f(x)*x+2*x^2+f(x)-4*x) ogf] A157947 17.4402 [-(x-99)/(x-1)^2 ogf] A157947 20.1823 [-1/2*(-99-2*x+(9801+392*x)^(1/2))/(1+x) revogf] A157947 35.7778 [-(-197+x)/(x-1)/(x-99) lgdogf] A157947 8.72009 [(196*f(x)+19405)*(f(x)*x^2-2*f(x)*x+f(x)+x-99) ogf] A157947 9.43821 [{-a(n+2)+2*a(n+1)-a(n),a(0)=99,a(1)=197} ogf] A157948 13.2265 [-(65*x+63)/(x-1)^3 ogf] A157948 24.5904 [-2*(127+65*x)/(65*x+63)/(x-1) lgdogf] A157948 5.81963 [(3936403456*f(x)-341325488703)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+65*x+63) ogf] A157948 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=63,a(1)=254,a(2)=573} ogf] A157949 16.8854 [(x+127)/(x-1)^2 ogf] A157949 18.9895 [-1/2*(-127-2*x+(16129+512*x)^(1/2))/(x-1) revogf] A157949 35.3895 [-(255+x)/(x+127)/(x-1) lgdogf] A157949 8.53348 [(256*f(x)+32513)*(f(x)*x^2-2*f(x)*x+f(x)-x-127) ogf] A157949 9.22806 [{-a(n+2)+2*a(n+1)-a(n),a(0)=127,a(1)=255} ogf] A157951 16.8854 [-(x-129)/(x-1)^2 ogf] A157951 18.9895 [-1/2*(-129-2*x+(16641+512*x)^(1/2))/(1+x) revogf] A157951 33.8508 [-(-257+x)/(x-1)/(x-129) lgdogf] A157951 8.53348 [(256*f(x)+33025)*(f(x)*x^2-2*f(x)*x+f(x)+x-129) ogf] A157951 9.22806 [{-a(n+2)+2*a(n+1)-a(n),a(0)=129,a(1)=257} ogf] A157952 16.9654 [-(x-163)/(x-1)^2 ogf] A157952 19.0812 [-1/2*(-163-2*x+(26569+648*x)^(1/2))/(1+x) revogf] A157952 34.0143 [-(-325+x)/(x-1)/(x-163) lgdogf] A157952 8.57392 [(324*f(x)+52813)*(f(x)*x^2-2*f(x)*x+f(x)+x-163) ogf] A157952 9.27179 [{-a(n+2)+2*a(n+1)-a(n),a(0)=163,a(1)=325} ogf] A157953 13.3568 [-2*(41*x+40)/(x-1)^3 ogf] A157953 26.6773 [-(161+82*x)/(41*x+40)/(x-1) lgdogf] A157953 5.97253 [(316010565*f(x)-34708105006)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+82*x+80) ogf] A157953 6.27882 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=80,a(1)=322,a(2)=726} ogf] A157954 16.9654 [(x+161)/(x-1)^2 ogf] A157954 19.0812 [-1/2*(-161-2*x+(25921+648*x)^(1/2))/(x-1) revogf] A157954 35.5604 [-(323+x)/(x+161)/(x-1) lgdogf] A157954 8.57392 [(324*f(x)+52165)*(f(x)*x^2-2*f(x)*x+f(x)-x-161) ogf] A157954 9.27179 [{-a(n+2)+2*a(n+1)-a(n),a(0)=161,a(1)=323} ogf] A157955 17.0454 [(x+199)/(x-1)^2 ogf] A157955 19.1729 [-1/2*(-199-2*x+(39601+800*x)^(1/2))/(x-1) revogf] A157955 35.7314 [-(399+x)/(x+199)/(x-1) lgdogf] A157955 8.61436 [(400*f(x)+79601)*(f(x)*x^2-2*f(x)*x+f(x)-x-199) ogf] A157955 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=199,a(1)=399} ogf] A157956 17.1255 [-(x-201)/(x-1)^2 ogf] A157956 19.2647 [-1/2*(-201-2*x+(40401+800*x)^(1/2))/(1+x) revogf] A157956 34.3414 [-(-401+x)/(x-1)/(x-201) lgdogf] A157956 8.6548 [(400*f(x)+80401)*(f(x)*x^2-2*f(x)*x+f(x)+x-201) ogf] A157956 9.35927 [{-a(n+2)+2*a(n+1)-a(n),a(0)=201,a(1)=401} ogf] A157958 16.7002 [-(x-243)/(x-1)^2 ogf] A157958 18.7795 [-1/2*(-243-2*x+(59049+968*x)^(1/2))/(1+x) revogf] A157958 33.4765 [-(-485+x)/(x-1)/(x-243) lgdogf] A157958 8.35011 [(484*f(x)+117613)*(f(x)*x^2-2*f(x)*x+f(x)+x-243) ogf] A157958 9.12687 [{-a(n+2)+2*a(n+1)-a(n),a(0)=243,a(1)=485} ogf] A157960 12.4969 [-2*(61*x+60)/(x-1)^3 ogf] A157960 24.9364 [-(241+122*x)/(61*x+60)/(x-1) lgdogf] A157960 5.60886 [(1576030445*f(x)-258843978306)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+122*x+120) ogf] A157960 5.98592 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=120,a(1)=482,a(2)=1086} ogf] A157961 16.7002 [(x+241)/(x-1)^2 ogf] A157961 18.7795 [-1/2*(-241-2*x+(58081+968*x)^(1/2))/(x-1) revogf] A157961 34.9982 [-(483+x)/(x+241)/(x-1) lgdogf] A157961 8.35011 [(484*f(x)+116645)*(f(x)*x^2-2*f(x)*x+f(x)-x-241) ogf] A157961 9.12687 [{-a(n+2)+2*a(n+1)-a(n),a(0)=241,a(1)=483} ogf] A157983 10.4521 [(-253^(1/12)+(64009+2024*x)^(1/24))/(64009+2024*x)^(1/24) revegf] A157983 6.38529 [{(-n-26)*a(n+1)+a(n+2),a(0)=759,a(1)=18975} ogf] A157983 66.1968 [-25/(x-1) lgdegf] A157984 16.3909 [(-1+(1+7*x)^(1/21))/(1+7*x)^(1/21) revegf] A157984 6.31534 [{(-n-23)*a(n+1)+a(n+2),a(0)=3,a(1)=66} ogf] A157984 61.9212 [-22/(x-1) lgdegf] A157988 4.55994 [{(-n-48)*a(n+1)+a(n+2),a(0)=5760,a(1)=270720} ogf] A157988 48.0416 [-47/(x-1) lgdegf] A157988 7.86135 [-(120^(1/23)-(14400+115*x)^(1/46))/(14400+115*x)^(1/46) revegf] A157990 16.1683 [-(x-289)/(x-1)^2 ogf] A157990 17.7418 [-1/2*(-289-2*x+(83521+1152*x)^(1/2))/(1+x) revogf] A157990 32.3980 [-(-577+x)/(x-1)/(x-289) lgdogf] A157990 8.08414 [(576*f(x)+166465)*(f(x)*x^2-2*f(x)*x+f(x)+x-289) ogf] A157990 8.83615 [{-a(n+2)+2*a(n+1)-a(n),a(0)=289,a(1)=577} ogf] A157997 16.1683 [(x+287)/(x-1)^2 ogf] A157997 17.7418 [-1/2*(-287-2*x+(82369+1152*x)^(1/2))/(x-1) revogf] A157997 33.8706 [-(575+x)/(x+287)/(x-1) lgdogf] A157997 8.08414 [(576*f(x)+165313)*(f(x)*x^2-2*f(x)*x+f(x)-x-287) ogf] A157997 8.83615 [{-a(n+2)+2*a(n+1)-a(n),a(0)=287,a(1)=575} ogf] A157998 12.8681 [-2*(85*x+84)/(x-1)^3 ogf] A157998 25.6921 [-(337+170*x)/(85*x+84)/(x-1) lgdogf] A157998 5.73034 [(6002751053*f(x)-1377784539354)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+170*x+168) ogf] A157998 6.16372 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=168,a(1)=674,a(2)=1518} ogf] A157999 16.6392 [(x+337)/(x-1)^2 ogf] A157999 17.8439 [-1/2*(-337-2*x+(113569+1352*x)^(1/2))/(x-1) revogf] A157999 34.8767 [-(675+x)/(x+337)/(x-1) lgdogf] A157999 8.3196 [(676*f(x)+227813)*(f(x)*x^2-2*f(x)*x+f(x)-x-337) ogf] A157999 9.09352 [{-a(n+2)+2*a(n+1)-a(n),a(0)=337,a(1)=675} ogf] A158000 16.6392 [-(x-339)/(x-1)^2 ogf] A158000 17.8439 [-1/2*(-339-2*x+(114921+1352*x)^(1/2))/(1+x) revogf] A158000 33.3603 [-(-677+x)/(x-1)/(x-339) lgdogf] A158000 8.3196 [(676*f(x)+229165)*(f(x)*x^2-2*f(x)*x+f(x)+x-339) ogf] A158000 9.09352 [{-a(n+2)+2*a(n+1)-a(n),a(0)=339,a(1)=677} ogf] A158001 13.0146 [-(x^5+4*x^4+4*x^3+9*x^2+10*x+9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A158001 7.15773 [-(10+18*x+36*x^7+50*x^6+54*x^5+5*x^4+16*x^3+x^10+8*x^9+12*x^8+12*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+4*x^4+4*x^3+9*x^2+10*x+9) lgdogf] A158002 16.0573 [(391*x+1)/(x-1)^2 ogf] A158002 17.2102 [-1/2*(-393-2*x+(154449+1568*x)^(1/2))/(1+x) revogf] A158002 32.1756 [-(-785+x)/(x-1)/(x-393) lgdogf] A158002 8.02866 [(784*f(x)+153665)*(f(x)*x^2-2*f(x)*x+f(x)-391*x-1) ogf] A158002 8.98444 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=393} ogf] A158003 12.9919 [-(197*x+195)/(x-1)^3 ogf] A158003 22.7009 [-2*(391+197*x)/(197*x+195)/(x-1) lgdogf] A158003 5.65294 [(347624079040*f(x)-92554877201667)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+197*x+195) ogf] A158003 6.22299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=195,a(1)=782,a(2)=1761} ogf] A158004 15.7887 [(x+391)/(x-1)^2 ogf] A158004 16.9190 [-1/2*(-391-2*x+(152881+1568*x)^(1/2))/(x-1) revogf] A158004 33.0690 [-(783+x)/(x+391)/(x-1) lgdogf] A158004 7.89434 [(784*f(x)+306545)*(f(x)*x^2-2*f(x)*x+f(x)-x-391) ogf] A158004 8.62870 [{-a(n+2)+2*a(n+1)-a(n),a(0)=391,a(1)=783} ogf] A158010 13.3012 [-(257*x+255)/(x-1)^3 ogf] A158010 23.2519 [-2*(511+257*x)/(257*x+255)/(x-1) lgdogf] A158010 5.70051 [(1012136673280*f(x)-352081652877567)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+257*x+255) ogf] A158010 6.31806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=255,a(1)=1022,a(2)=2301} ogf] A158011 15.7498 [(x+511)/(x-1)^2 ogf] A158011 16.8790 [-1/2*(-511-2*x+(261121+2048*x)^(1/2))/(x-1) revogf] A158011 31.5563 [-(1023+x)/(x+511)/(x-1) lgdogf] A158011 7.79198 [(1024*f(x)+523265)*(f(x)*x^2-2*f(x)*x+f(x)-x-511) ogf] A158011 8.50849 [{-a(n+2)+2*a(n+1)-a(n),a(0)=511,a(1)=1023} ogf] A158025 7.64519 [-(48*x^16-50*x^14-x^6+x^5+x^4-x^3-x^2-x-1)/(x+1)/(x-1)^2 ogf] A158029 5.62475 [-(379*x^25-x^24-374*x^23+33*x^15-3*x^14-39*x^13+10*x^8-12*x^6-x^2-x-1)/(x+1)/(x-1)^2 ogf] A158040 4.88867 [2*(8*x^6-50*x^4+64*x^3-25*x^2+1)/(x-1)^2/(2*x-1)^2/(2*x^2-5*x+1)^2 ogf] A158045 7.44765 [-2*(2*x^2-1)*(4*x^4-11*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-5*x+1)/(2*x^2+5*x+1) ogf] A158056 14.0848 [-2*(7*x+9)/(x-1)^3 ogf] A158056 30.3964 [-2*(17+7*x)/(7*x+9)/(x-1) lgdogf] A158056 6.67815 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=18,a(1)=68,a(2)=150} ogf] A158056 6.73621 [(72320*f(x)-1628079)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+14*x+18) ogf] A158057 10.1407 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=17} ogf] A158057 17.7987 [-1/2*(-17-2*x+(289+64*x)^(1/2))/(1+x) revogf] A158057 18.2973 [(15*x+1)/(x-1)^2 ogf] A158057 31.3596 [-(-33+x)/(x-1)/(x-17) lgdogf] A158057 9.45703 [(32*f(x)+257)*(f(x)*x^2-2*f(x)*x+f(x)-15*x-1) ogf] A158058 14.0177 [-2*(9*x+7)/(x-1)^3 ogf] A158058 31.5092 [-6*(5+3*x)/(9*x+7)/(x-1) lgdogf] A158058 6.64634 [(153728*f(x)-3248365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+18*x+14) ogf] A158058 6.64634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=60,a(2)=138} ogf] A158060 17.9443 [-(x-26)/(x-1)^2 ogf] A158060 26.1222 [-(-13-x+(169+25*x)^(1/2))/(1+x) revogf] A158060 38.5613 [-(-51+x)/(x-1)/(x-26) lgdogf] A158060 9.17152 [(50*f(x)+1301)*(f(x)*x^2-2*f(x)*x+f(x)+x-26) ogf] A158060 9.82662 [{-a(n+2)+2*a(n+1)-a(n),a(0)=26,a(1)=51} ogf] A158062 13.8228 [-2*(19*x+17)/(x-1)^3 ogf] A158062 26.6324 [-2*(35+19*x)/(19*x+17)/(x-1) lgdogf] A158062 6.33546 [(12132504*f(x)-586033865)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+38*x+34) ogf] A158062 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=34,a(1)=140,a(2)=318} ogf] A158064 13.8228 [-2*(17*x+19)/(x-1)^3 ogf] A158064 26.6324 [-2*(37+17*x)/(17*x+19)/(x-1) lgdogf] A158064 6.33546 [(12645720*f(x)-628258843)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+34*x+38) ogf] A158064 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=38,a(1)=148,a(2)=330} ogf] A158065 16.4679 [-(x-37)/(x-1)^2 ogf] A158065 19.0333 [-1/2*(-37-2*x+(1369+144*x)^(1/2))/(1+x) revogf] A158065 35.3476 [-(-73+x)/(x-1)/(x-37) lgdogf] A158065 8.41695 [(72*f(x)+2665)*(f(x)*x^2-2*f(x)*x+f(x)+x-37) ogf] A158065 9.01815 [{-a(n+2)+2*a(n+1)-a(n),a(0)=37,a(1)=73} ogf] A158066 17.0472 [-(x-50)/(x-1)^2 ogf] A158066 24.8047 [-(-25-x+(625+49*x)^(1/2))/(1+x) revogf] A158066 36.6164 [-(-99+x)/(x-1)/(x-50) lgdogf] A158066 8.71303 [(98*f(x)+4901)*(f(x)*x^2-2*f(x)*x+f(x)+x-50) ogf] A158066 9.33538 [{-a(n+2)+2*a(n+1)-a(n),a(0)=50,a(1)=99} ogf] A158067 13.2265 [-2*(33*x+31)/(x-1)^3 ogf] A158067 25.4686 [-6*(21+11*x)/(33*x+31)/(x-1) lgdogf] A158067 6.01202 [(13588480*f(x)-1173723623)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+66*x+62) ogf] A158067 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=62,a(1)=252,a(2)=570} ogf] A158068 11.6623 [-(5*x^4+x^2+x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A158068 11.7190 [-(2-12*x^4+5*x^8+12*x^5-2*x^6+x^2+18*x^3)/(x-1)/(x^2+x+1)/(x^2-x+1)/(5*x^4+x^2+x+1) lgdogf] A158070 12.4852 [-2*x*(31*x+33)/(x-1)^3 ogf] A158070 25.4686 [-2*(65+31*x)/(31*x+33)/(x-1) lgdogf] A158070 5.98884 [(7022592*f(x)-310728151)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+62*x^2-f(x)+66*x) ogf] A158070 6.46165 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=66,a(2)=260} ogf] A158071 17.5437 [-(x-65)/(x-1)^2 ogf] A158071 20.3022 [-1/2*(-65-2*x+(4225+256*x)^(1/2))/(1+x) revogf] A158071 35.9902 [-(-129+x)/(x-1)/(x-65) lgdogf] A158071 8.86827 [(128*f(x)+8321)*(f(x)*x^2-2*f(x)*x+f(x)+x-65) ogf] A158071 9.49426 [{-a(n+2)+2*a(n+1)-a(n),a(0)=65,a(1)=129} ogf] A158083 8.68660 [-(8*x^6-12*x^5-2*x^4-x^3-x^2+x-2)/(x-1)^2 ogf] A158083 9.49767 [(3+x+32*x^6+3*x^2+7*x^3+56*x^4-84*x^5)/(x-1)/(8*x^6-12*x^5-2*x^4-x^3-x^2+x-2) lgdogf] A158090 10.5726 [-x*(4+5*x^3+18*x^7+4*x^12+3*x^13+6*x^4+14*x^9)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+2*x^2+2) lgdogf] A158090 11.7493 [-3*x*(x^6+x^5+2*x^2+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A158111 5.70759 [{(-27*n^3-126*n^2-195*n-100)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A158121 5.16115 [-(x^6-6*x^5+15*x^4-13*x^3+66*x^2+51*x+6)/(x-1)^7 ogf] A158123 17.2757 [-(x-82)/(x-1)^2 ogf] A158123 24.3607 [-(-41-x+(1681+81*x)^(1/2))/(1+x) revogf] A158123 35.4338 [-(-163+x)/(x-1)/(x-82) lgdogf] A158123 8.63782 [(162*f(x)+13285)*(f(x)*x^2-2*f(x)*x+f(x)+x-82) ogf] A158123 9.34918 [{-a(n+2)+2*a(n+1)-a(n),a(0)=82,a(1)=163} ogf] A158127 13.0151 [-2*(49*x+51)/(x-1)^3 ogf] A158127 24.6423 [-2*(101+49*x)/(49*x+51)/(x-1) lgdogf] A158127 5.87779 [(106145000*f(x)-14511656493)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+98*x+102) ogf] A158127 6.17667 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=102,a(1)=404,a(2)=906} ogf] A158128 17.2301 [-(x-101)/(x-1)^2 ogf] A158128 19.3824 [-1/2*(-101-2*x+(10201+400*x)^(1/2))/(1+x) revogf] A158128 34.5513 [-(-201+x)/(x-1)/(x-101) lgdogf] A158128 8.70771 [(200*f(x)+20201)*(f(x)*x^2-2*f(x)*x+f(x)+x-101) ogf] A158128 9.41648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=101,a(1)=201} ogf] A158129 13.4382 [-2*(51*x+49)/(x-1)^3 ogf] A158129 26.3645 [-6*(33+17*x)/(51*x+49)/(x-1) lgdogf] A158129 6.1182 [(81335000*f(x)-11007656161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+102*x+98) ogf] A158129 6.43196 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=98,a(1)=396,a(2)=894} ogf] A158130 16.8054 [(x+120)/(x-1)^2 ogf] A158130 23.4790 [-(-60-x+(3600+121*x)^(1/2))/(x-1) revogf] A158130 35.2185 [-(241+x)/(x+120)/(x-1) lgdogf] A158130 8.49303 [(242*f(x)+29041)*(f(x)*x^2-2*f(x)*x+f(x)-x-120) ogf] A158130 9.18433 [{-a(n+2)+2*a(n+1)-a(n),a(0)=120,a(1)=241} ogf] A158131 16.8054 [-(x-122)/(x-1)^2 ogf] A158131 23.4790 [-(-61-x+(3721+121*x)^(1/2))/(1+x) revogf] A158131 33.6873 [-(-243+x)/(x-1)/(x-122) lgdogf] A158131 8.49303 [(242*f(x)+29525)*(f(x)*x^2-2*f(x)*x+f(x)+x-122) ogf] A158131 9.18433 [{-a(n+2)+2*a(n+1)-a(n),a(0)=122,a(1)=243} ogf] A158132 12.6825 [-2*(71*x+73)/(x-1)^3 ogf] A158132 24.4413 [-2*(145+71*x)/(71*x+73)/(x-1) lgdogf] A158132 5.69216 [(3187569024*f(x)-626548473865)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+142*x+146) ogf] A158132 6.07482 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=146,a(1)=580,a(2)=1302} ogf] A158133 16.9654 [-(x-145)/(x-1)^2 ogf] A158133 19.0812 [-1/2*(-145-2*x+(21025+576*x)^(1/2))/(1+x) revogf] A158133 34.0143 [-(-289+x)/(x-1)/(x-145) lgdogf] A158133 8.57392 [(288*f(x)+41761)*(f(x)*x^2-2*f(x)*x+f(x)+x-145) ogf] A158133 9.27179 [{-a(n+2)+2*a(n+1)-a(n),a(0)=145,a(1)=289} ogf] A158135 12.6825 [-2*(73*x+71)/(x-1)^3 ogf] A158135 24.4413 [-2*(143+73*x)/(73*x+71)/(x-1) lgdogf] A158135 5.69216 [(3154723200*f(x)-615744789767)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+146*x+142) ogf] A158135 6.07482 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=142,a(1)=572,a(2)=1290} ogf] A158136 16.9654 [(x+143)/(x-1)^2 ogf] A158136 19.0812 [-1/2*(-143-2*x+(20449+576*x)^(1/2))/(x-1) revogf] A158136 35.5604 [-(287+x)/(x+143)/(x-1) lgdogf] A158136 8.57392 [(288*f(x)+41185)*(f(x)*x^2-2*f(x)*x+f(x)-x-143) ogf] A158136 9.27179 [{-a(n+2)+2*a(n+1)-a(n),a(0)=143,a(1)=287} ogf] A158137 6.06136 [(2*x^7+x^6+2*x^4+4*x^3+2*x-2)/(x^2+x+1)/(x^6+x^3+1) ogf] A158138 7.72054 [-(4+16*x+44*x^4+x^8+x^9-2*x^7+26*x^5+8*x^6+37*x^2+45*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^6-2*x^4+2*x^3+4*x^2+4*x+1) lgdogf] A158138 8.16732 [-(x^6-2*x^4+2*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A158186 12.8609 [-(18*x^2+x+1)/(x-1)^3 ogf] A158186 22.3523 [-2*(x+2)*(9*x+1)/(x-1)/(18*x^2+x+1) lgdogf] A158186 6.48272 [(570800*f(x)-3555303)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+x+1) ogf] A158186 7.05641 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=27} ogf] A158187 12.9822 [-(11*x^2+8*x+1)/(x-1)^3 ogf] A158187 20.7856 [-(11+38*x+11*x^2)/(x-1)/(11*x^2+8*x+1) lgdogf] A158187 6.93877 [(113*f(x)-725)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+8*x+1) ogf] A158187 7.06050 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=41} ogf] A158196 11.0597 [1/8+1/2*x-2*x^2-1/8*((16*x^2+1)*(-1+4*x)^2)^(1/2) revogf] A158196 6.75735 [-16*f(x)^2*x^2+3*f(x)^2*x+4*f(x)*x-f(x)-4*x+1 ogf] A158197 10.6835 [1/8+1/2*x-25/8*x^2-1/8*((25*x^2+2*x+1)*(5*x-1)^2)^(1/2) revogf] A158197 7.31428 [-25*f(x)^2*x^2+4*f(x)^2*x+4*f(x)*x-f(x)-4*x+1 ogf] A158218 12.8681 [-(171*x+167)/(x-1)^3 ogf] A158218 23.2057 [-6*(112+57*x)/(171*x+167)/(x-1) lgdogf] A158218 5.64218 [(63888100900*f(x)-14642204271173)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+171*x+167) ogf] A158218 6.16372 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=167,a(1)=672,a(2)=1515} ogf] A158219 17.0454 [(x+168)/(x-1)^2 ogf] A158219 23.8209 [-(-84-x+(7056+169*x)^(1/2))/(x-1) revogf] A158219 35.7314 [-(337+x)/(x+168)/(x-1) lgdogf] A158219 8.61436 [(338*f(x)+56785)*(f(x)*x^2-2*f(x)*x+f(x)-x-168) ogf] A158219 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=168,a(1)=337} ogf] A158220 12.8681 [-(167*x+171)/(x-1)^3 ogf] A158220 22.4805 [-2*(340+167*x)/(167*x+171)/(x-1) lgdogf] A158220 5.59911 [(193363339468*f(x)-44582477678355)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+167*x+171) ogf] A158220 6.16372 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=171,a(1)=680,a(2)=1527} ogf] A158221 17.0454 [-(x-170)/(x-1)^2 ogf] A158221 23.8209 [-(-85-x+(7225+169*x)^(1/2))/(1+x) revogf] A158221 34.1779 [-(-339+x)/(x-1)/(x-170) lgdogf] A158221 8.61436 [(338*f(x)+57461)*(f(x)*x^2-2*f(x)*x+f(x)+x-170) ogf] A158221 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=170,a(1)=339} ogf] A158222 12.9919 [-2*(97*x+99)/(x-1)^3 ogf] A158222 25.0493 [-2*(197+97*x)/(97*x+99)/(x-1) lgdogf] A158222 5.74059 [(10925414360*f(x)-2920221725163)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+194*x+198) ogf] A158222 6.22299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=198,a(1)=788,a(2)=1770} ogf] A158223 17.0454 [-(x-197)/(x-1)^2 ogf] A158223 19.1729 [-1/2*(-197-2*x+(38809+784*x)^(1/2))/(1+x) revogf] A158223 34.1779 [-(-393+x)/(x-1)/(x-197) lgdogf] A158223 8.61436 [(392*f(x)+77225)*(f(x)*x^2-2*f(x)*x+f(x)+x-197) ogf] A158223 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=197,a(1)=393} ogf] A158224 12.9919 [-2*(99*x+97)/(x-1)^3 ogf] A158224 25.9439 [-6*(65+33*x)/(99*x+97)/(x-1) lgdogf] A158224 5.83099 [(3614196488*f(x)-961047265075)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+198*x+194) ogf] A158224 6.22299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=194,a(1)=780,a(2)=1758} ogf] A158225 17.0454 [(x+195)/(x-1)^2 ogf] A158225 19.1729 [-1/2*(-195-2*x+(38025+784*x)^(1/2))/(x-1) revogf] A158225 35.7314 [-(391+x)/(x+195)/(x-1) lgdogf] A158225 8.61436 [(392*f(x)+76441)*(f(x)*x^2-2*f(x)*x+f(x)-x-195) ogf] A158225 9.31553 [{-a(n+2)+2*a(n+1)-a(n),a(0)=195,a(1)=391} ogf] A158226 13.1156 [-(227*x+223)/(x-1)^3 ogf] A158226 22.9213 [-2*(448+227*x)/(227*x+223)/(x-1) lgdogf] A158226 5.66355 [(602839867500*f(x)-184079125376743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+227*x+223) ogf] A158226 6.28225 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=223,a(1)=896,a(2)=2019} ogf] A158227 17.1255 [(x+224)/(x-1)^2 ogf] A158227 22.5672 [-(-112-x+(12544+225*x)^(1/2))/(x-1) revogf] A158227 35.9024 [-(449+x)/(x+224)/(x-1) lgdogf] A158227 8.56273 [(450*f(x)+100801)*(f(x)*x^2-2*f(x)*x+f(x)-x-224) ogf] A158227 9.35927 [{-a(n+2)+2*a(n+1)-a(n),a(0)=224,a(1)=449} ogf] A158228 13.1156 [-(223*x+227)/(x-1)^3 ogf] A158228 22.9213 [-2*(452+223*x)/(223*x+227)/(x-1) lgdogf] A158228 5.66355 [(606849367500*f(x)-186139720219307)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+223*x+227) ogf] A158228 6.28225 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=227,a(1)=904,a(2)=2031} ogf] A158229 17.1255 [-(x-226)/(x-1)^2 ogf] A158229 22.5672 [-(-113-x+(12769+225*x)^(1/2))/(1+x) revogf] A158229 34.3414 [-(-451+x)/(x-1)/(x-226) lgdogf] A158229 8.56273 [(450*f(x)+101701)*(f(x)*x^2-2*f(x)*x+f(x)+x-226) ogf] A158229 9.35927 [{-a(n+2)+2*a(n+1)-a(n),a(0)=226,a(1)=451} ogf] A158230 13.3012 [-2*(127*x+129)/(x-1)^3 ogf] A158230 23.2519 [-2*(257+127*x)/(127*x+129)/(x-1) lgdogf] A158230 5.83206 [(31767756800*f(x)-11083646076033)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+254*x+258) ogf] A158230 6.31806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=258,a(1)=1028,a(2)=2310} ogf] A158231 16.3555 [-(x-257)/(x-1)^2 ogf] A158231 17.9489 [-1/2*(-257-2*x+(66049+1024*x)^(1/2))/(1+x) revogf] A158231 32.7763 [-(-513+x)/(x-1)/(x-257) lgdogf] A158231 8.17776 [(512*f(x)+131585)*(f(x)*x^2-2*f(x)*x+f(x)+x-257) ogf] A158231 8.93848 [{-a(n+2)+2*a(n+1)-a(n),a(0)=257,a(1)=513} ogf] A158249 13.3012 [-2*(129*x+127)/(x-1)^3 ogf] A158249 24.8021 [-6*(85+43*x)/(129*x+127)/(x-1) lgdogf] A158249 5.87727 [(10527735808*f(x)-3658577925845)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+258*x+254) ogf] A158249 6.31806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=254,a(1)=1020,a(2)=2298} ogf] A158250 16.3555 [(x+255)/(x-1)^2 ogf] A158250 17.9489 [-1/2*(-255-2*x+(65025+1024*x)^(1/2))/(x-1) revogf] A158250 34.2661 [-(511+x)/(x+255)/(x-1) lgdogf] A158250 8.17776 [(512*f(x)+130561)*(f(x)*x^2-2*f(x)*x+f(x)-x-255) ogf] A158250 8.93848 [{-a(n+2)+2*a(n+1)-a(n),a(0)=255,a(1)=511} ogf] A158252 12.8819 [-(291*x+287)/(x-1)^3 ogf] A158252 23.2349 [-6*(192+97*x)/(291*x+287)/(x-1) lgdogf] A158252 5.60509 [(182448283660*f(x)-71593290036911)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+291*x+287) ogf] A158252 6.11889 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=287,a(1)=1152,a(2)=2595} ogf] A158253 16.1683 [(x+288)/(x-1)^2 ogf] A158253 21.2901 [-(-144-x+(20736+289*x)^(1/2))/(x-1) revogf] A158253 33.8706 [-(577+x)/(x+288)/(x-1) lgdogf] A158253 8.08414 [(578*f(x)+166465)*(f(x)*x^2-2*f(x)*x+f(x)-x-288) ogf] A158253 8.83615 [{-a(n+2)+2*a(n+1)-a(n),a(0)=288,a(1)=577} ogf] A158254 12.8819 [-(287*x+291)/(x-1)^3 ogf] A158254 22.5088 [-2*(580+287*x)/(287*x+291)/(x-1) lgdogf] A158254 5.60509 [(235790139604*f(x)-92849738585085)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+287*x+291) ogf] A158254 6.11889 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=291,a(1)=1160,a(2)=2607} ogf] A158255 16.1683 [-(x-290)/(x-1)^2 ogf] A158255 21.2901 [-(-145-x+(21025+289*x)^(1/2))/(1+x) revogf] A158255 32.3980 [-(-579+x)/(x-1)/(x-290) lgdogf] A158255 8.08414 [(578*f(x)+167621)*(f(x)*x^2-2*f(x)*x+f(x)+x-290) ogf] A158255 8.83615 [{-a(n+2)+2*a(n+1)-a(n),a(0)=290,a(1)=579} ogf] A158266 8.93147 [(16*n^2+80*n+100)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=1,a(1)=9 lgdogf] A158271 12.4037 [-2*(161*x+163)/(x-1)^3 ogf] A158271 21.6609 [-2*(325+161*x)/(161*x+163)/(x-1) lgdogf] A158271 5.4807 [(11637061992*f(x)-5136446039485)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+322*x+326) ogf] A158271 5.89176 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=326,a(1)=1300,a(2)=2922} ogf] A158272 16.4822 [-(x-325)/(x-1)^2 ogf] A158272 17.6723 [-1/2*(-325-2*x+(105625+1296*x)^(1/2))/(1+x) revogf] A158272 33.0395 [-(-649+x)/(x-1)/(x-325) lgdogf] A158272 8.24111 [(648*f(x)+210601)*(f(x)*x^2-2*f(x)*x+f(x)+x-325) ogf] A158272 9.00773 [{-a(n+2)+2*a(n+1)-a(n),a(0)=325,a(1)=649} ogf] A158289 25.1750 [x^17-2*x^8+2 ogf_with_Euler_transform] A158289 6.64246 [-x*(x^2+x+1)*(x^6+x^3+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A158302 15.6887 [(2*x^2-2*x-1)/(2*x-1)/(2*x+1) ogf] A158302 16.7698 [2*(1+4*x^2+2*x)/(2*x+1)/(2*x-1)/(2*x^2-2*x-1) lgdogf] A158302 9.15174 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=2,a(2)=2} ogf] A158302 9.60933 [-(10*f(x)-3)*(4*f(x)*x^2-2*x^2-f(x)+2*x+1) ogf] A158305 12.4037 [-2*(163*x+161)/(x-1)^3 ogf] A158305 21.6609 [-2*(323+163*x)/(163*x+161)/(x-1) lgdogf] A158305 5.43854 [(81085299480*f(x)-35678243772377)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+326*x+322) ogf] A158305 5.89176 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=322,a(1)=1292,a(2)=2910} ogf] A158306 16.4822 [(x+323)/(x-1)^2 ogf] A158306 17.6723 [-1/2*(-323-2*x+(104329+1296*x)^(1/2))/(x-1) revogf] A158306 34.5413 [-(647+x)/(x+323)/(x-1) lgdogf] A158306 8.24111 [(648*f(x)+209305)*(f(x)*x^2-2*f(x)*x+f(x)-x-323) ogf] A158306 9.00773 [{-a(n+2)+2*a(n+1)-a(n),a(0)=323,a(1)=647} ogf] A158307 12.4645 [-(363*x+359)/(x-1)^3 ogf] A158307 21.7692 [-6*(240+121*x)/(363*x+359)/(x-1) lgdogf] A158307 5.38239 [(444427450892*f(x)-217918225729495)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+363*x+359) ogf] A158307 5.92064 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=359,a(1)=1440,a(2)=3243} ogf] A158308 16.2132 [(x+360)/(x-1)^2 ogf] A158308 21.3533 [-(-180-x+(32400+361*x)^(1/2))/(x-1) revogf] A158308 33.9712 [-(721+x)/(x+360)/(x-1) lgdogf] A158308 8.1066 [(722*f(x)+259921)*(f(x)*x^2-2*f(x)*x+f(x)-x-360) ogf] A158308 8.86070 [{-a(n+2)+2*a(n+1)-a(n),a(0)=360,a(1)=721} ogf] A158309 12.4645 [-(359*x+363)/(x-1)^3 ogf] A158309 21.7692 [-2*(724+359*x)/(359*x+363)/(x-1) lgdogf] A158309 5.30206 [(4016407208140*f(x)-1974918895485651)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+359*x+363) ogf] A158309 5.92064 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=363,a(1)=1448,a(2)=3255} ogf] A158310 16.2132 [-(x-362)/(x-1)^2 ogf] A158310 21.3533 [-(-181-x+(32761+361*x)^(1/2))/(1+x) revogf] A158310 32.4942 [-(-723+x)/(x-1)/(x-362) lgdogf] A158310 8.1066 [(722*f(x)+261365)*(f(x)*x^2-2*f(x)*x+f(x)+x-362) ogf] A158310 8.86070 [{-a(n+2)+2*a(n+1)-a(n),a(0)=362,a(1)=723} ogf] A158312 12.5861 [-2*(199*x+201)/(x-1)^3 ogf] A158312 21.9858 [-2*(401+199*x)/(199*x+201)/(x-1) lgdogf] A158312 5.4349 [(189152240000*f(x)-103042417521801)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+398*x+402) ogf] A158312 5.97840 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=402,a(1)=1604,a(2)=3606} ogf] A158313 15.8661 [-(x-401)/(x-1)^2 ogf] A158313 17.0036 [-1/2*(-401-2*x+(160801+1600*x)^(1/2))/(1+x) revogf] A158313 31.7894 [-(-801+x)/(x-1)/(x-401) lgdogf] A158313 7.93303 [(800*f(x)+320801)*(f(x)*x^2-2*f(x)*x+f(x)+x-401) ogf] A158313 8.67100 [{-a(n+2)+2*a(n+1)-a(n),a(0)=401,a(1)=801} ogf] A158316 12.5253 [-2*(201*x+199)/(x-1)^3 ogf] A158316 22.5832 [-6*(133+67*x)/(201*x+199)/(x-1) lgdogf] A158316 5.49186 [(62816080000*f(x)-34133071493933)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+402*x+398) ogf] A158316 5.94952 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=398,a(1)=1596,a(2)=3594} ogf] A158317 15.7887 [(x+399)/(x-1)^2 ogf] A158317 16.9190 [-1/2*(-399-2*x+(159201+1600*x)^(1/2))/(x-1) revogf] A158317 33.0690 [-(799+x)/(x+399)/(x-1) lgdogf] A158317 7.89434 [(800*f(x)+319201)*(f(x)*x^2-2*f(x)*x+f(x)-x-399) ogf] A158317 8.62870 [{-a(n+2)+2*a(n+1)-a(n),a(0)=399,a(1)=799} ogf] A158319 16.0209 [(x+440)/(x-1)^2 ogf] A158319 21.0980 [-(-220-x+(48400+441*x)^(1/2))/(x-1) revogf] A158319 33.5650 [-(881+x)/(x+440)/(x-1) lgdogf] A158319 8.01043 [(882*f(x)+388081)*(f(x)*x^2-2*f(x)*x+f(x)-x-440) ogf] A158319 8.75559 [{-a(n+2)+2*a(n+1)-a(n),a(0)=440,a(1)=881} ogf] A158321 12.5861 [-(439*x+443)/(x-1)^3 ogf] A158321 21.9858 [-2*(884+439*x)/(439*x+443)/(x-1) lgdogf] A158321 5.35379 [(8941298981580*f(x)-5369481635228771)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+439*x+443) ogf] A158321 5.97840 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=443,a(1)=1768,a(2)=3975} ogf] A158322 16.0209 [-(x-442)/(x-1)^2 ogf] A158322 21.0980 [-(-221-x+(48841+441*x)^(1/2))/(1+x) revogf] A158322 32.1057 [-(-883+x)/(x-1)/(x-442) lgdogf] A158322 8.01043 [(882*f(x)+389845)*(f(x)*x^2-2*f(x)*x+f(x)+x-442) ogf] A158322 8.75559 [{-a(n+2)+2*a(n+1)-a(n),a(0)=442,a(1)=883} ogf] A158325 12.6469 [-2*(241*x+243)/(x-1)^3 ogf] A158325 22.0941 [-2*(485+241*x)/(241*x+243)/(x-1) lgdogf] A158325 5.46116 [(405333508184*f(x)-267120051484155)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+482*x+486) ogf] A158325 6.00728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=486,a(1)=1940,a(2)=4362} ogf] A158326 15.5961 [-(x-485)/(x-1)^2 ogf] A158326 16.7110 [-1/2*(-485-2*x+(235225+1936*x)^(1/2))/(1+x) revogf] A158326 31.2423 [-(-969+x)/(x-1)/(x-485) lgdogf] A158326 7.79805 [(968*f(x)+469481)*(f(x)*x^2-2*f(x)*x+f(x)+x-485) ogf] A158326 8.52345 [{-a(n+2)+2*a(n+1)-a(n),a(0)=485,a(1)=969} ogf] A158329 12.6469 [-2*(243*x+241)/(x-1)^3 ogf] A158329 22.8068 [-6*(161+81*x)/(243*x+241)/(x-1) lgdogf] A158329 5.50285 [(134695443080*f(x)-88580430236899)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+486*x+482) ogf] A158329 6.00728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=482,a(1)=1932,a(2)=4350} ogf] A158330 15.5961 [(x+483)/(x-1)^2 ogf] A158330 16.7110 [-1/2*(-483-2*x+(233289+1936*x)^(1/2))/(x-1) revogf] A158330 32.6624 [-(967+x)/(x+483)/(x-1) lgdogf] A158330 7.79805 [(968*f(x)+467545)*(f(x)*x^2-2*f(x)*x+f(x)-x-483) ogf] A158330 8.52345 [{-a(n+2)+2*a(n+1)-a(n),a(0)=483,a(1)=967} ogf] A158364 12.7077 [-(531*x+527)/(x-1)^3 ogf] A158364 22.2024 [-6*(352+177*x)/(531*x+527)/(x-1) lgdogf] A158364 5.40551 [(6151783880740*f(x)-4422163132381853)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+531*x+527) ogf] A158364 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=527,a(1)=2112,a(2)=4755} ogf] A158365 15.8266 [(x+528)/(x-1)^2 ogf] A158365 20.8402 [-(-264-x+(69696+529*x)^(1/2))/(x-1) revogf] A158365 31.7133 [-(1057+x)/(x+528)/(x-1) lgdogf] A158365 7.82999 [(1058*f(x)+558625)*(f(x)*x^2-2*f(x)*x+f(x)-x-528) ogf] A158365 8.55000 [{-a(n+2)+2*a(n+1)-a(n),a(0)=528,a(1)=1057} ogf] A158367 12.7077 [-(527*x+531)/(x-1)^3 ogf] A158367 21.5296 [-2*(1060+527*x)/(527*x+531)/(x-1) lgdogf] A158367 5.32602 [(18507460275148*f(x)-13329451599454875)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+527*x+531) ogf] A158367 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=531,a(1)=2120,a(2)=4767} ogf] A158368 15.8266 [-(x-530)/(x-1)^2 ogf] A158368 20.8402 [-(-265-x+(70225+529*x)^(1/2))/(1+x) revogf] A158368 30.3919 [-(-1059+x)/(x-1)/(x-530) lgdogf] A158368 7.82999 [(1058*f(x)+560741)*(f(x)*x^2-2*f(x)*x+f(x)+x-530) ogf] A158368 8.55000 [{-a(n+2)+2*a(n+1)-a(n),a(0)=530,a(1)=1059} ogf] A158369 12.7077 [-2*(287*x+289)/(x-1)^3 ogf] A158369 22.2024 [-2*(577+287*x)/(287*x+289)/(x-1) lgdogf] A158369 5.5293 [(116122429440*f(x)-91057203737239)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+574*x+578) ogf] A158369 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=578,a(1)=2308,a(2)=5190} ogf] A158370 15.9034 [-(x-577)/(x-1)^2 ogf] A158370 17.0469 [-1/2*(-577-2*x+(332929+2304*x)^(1/2))/(1+x) revogf] A158370 30.5424 [-(-1153+x)/(x-1)/(x-577) lgdogf] A158370 7.868 [(1152*f(x)+664705)*(f(x)*x^2-2*f(x)*x+f(x)+x-577) ogf] A158370 8.59149 [{-a(n+2)+2*a(n+1)-a(n),a(0)=577,a(1)=1153} ogf] A158371 12.7077 [-2*(289*x+287)/(x-1)^3 ogf] A158371 22.2024 [-2*(575+289*x)/(289*x+287)/(x-1) lgdogf] A158371 5.48742 [(810754873344*f(x)-634634777588255)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+578*x+574) ogf] A158371 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=574,a(1)=2300,a(2)=5178} ogf] A158372 15.9034 [(x+575)/(x-1)^2 ogf] A158372 17.0469 [-1/2*(-575-2*x+(330625+2304*x)^(1/2))/(x-1) revogf] A158372 31.8703 [-(1151+x)/(x+575)/(x-1) lgdogf] A158372 7.868 [(1152*f(x)+662401)*(f(x)*x^2-2*f(x)*x+f(x)-x-575) ogf] A158372 8.59149 [{-a(n+2)+2*a(n+1)-a(n),a(0)=575,a(1)=1151} ogf] A158373 12.7685 [-(627*x+623)/(x-1)^3 ogf] A158373 22.3107 [-6*(416+209*x)/(627*x+623)/(x-1) lgdogf] A158373 5.3515 [(11989264062500*f(x)-10183901571774781)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+627*x+623) ogf] A158373 6.06504 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=623,a(1)=2496,a(2)=5619} ogf] A158374 15.9802 [(x+624)/(x-1)^2 ogf] A158374 21.0465 [-(-312-x+(97344+625*x)^(1/2))/(x-1) revogf] A158374 32.0273 [-(1249+x)/(x+624)/(x-1) lgdogf] A158374 7.90601 [(1250*f(x)+780001)*(f(x)*x^2-2*f(x)*x+f(x)-x-624) ogf] A158374 8.63300 [{-a(n+2)+2*a(n+1)-a(n),a(0)=624,a(1)=1249} ogf] A158375 7.00580 [1/(1063*x^7+867*x^6+676*x^5+322*x^4+124*x^3+36*x^2+7*x+1) ogf] A158382 12.8293 [-(623*x+627)/(x-1)^3 ogf] A158382 21.7396 [-2*(1252+623*x)/(623*x+627)/(x-1) lgdogf] A158382 5.45724 [(5150532812500*f(x)-4382055088126701)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+623*x+627) ogf] A158382 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=627,a(1)=2504,a(2)=5631} ogf] A158383 16.0571 [-(x-626)/(x-1)^2 ogf] A158383 21.1497 [-(-313-x+(97969+625*x)^(1/2))/(1+x) revogf] A158383 30.8433 [-(-1251+x)/(x-1)/(x-626) lgdogf] A158383 7.94402 [(1250*f(x)+782501)*(f(x)*x^2-2*f(x)*x+f(x)+x-626) ogf] A158383 8.67451 [{-a(n+2)+2*a(n+1)-a(n),a(0)=626,a(1)=1251} ogf] A158385 12.8293 [-2*(337*x+339)/(x-1)^3 ogf] A158385 22.4190 [-2*(677+337*x)/(337*x+339)/(x-1) lgdogf] A158385 5.45724 [(1541799323480*f(x)-1418709761292123)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+674*x+678) ogf] A158385 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=678,a(1)=2708,a(2)=6090} ogf] A158386 15.5540 [-(x-677)/(x-1)^2 ogf] A158386 16.6675 [-1/2*(-677-2*x+(458329+2704*x)^(1/2))/(1+x) revogf] A158386 29.8627 [-(-1353+x)/(x-1)/(x-677) lgdogf] A158386 7.69514 [(1352*f(x)+915305)*(f(x)*x^2-2*f(x)*x+f(x)+x-677) ogf] A158386 8.40274 [{-a(n+2)+2*a(n+1)-a(n),a(0)=677,a(1)=1353} ogf] A158388 13.7680 [{a(n+2)-a(n+1),a(0)=-1,a(1)=1} ogf] A158388 15.7348 [-f(x)*(f(x)*x-f(x)+2*x-1) ogf] A158388 26.7917 [-(2*x-1)/(x-1) ogf] A158388 30.5416 [-1/4*x+1/4-1/4*(x^2+6*x+1)^(1/2) revogf] A158388 61.0832 [-1/(2*x-1)/(x-1) lgdogf] A158392 12.8293 [-2*(339*x+337)/(x-1)^3 ogf] A158392 22.4190 [-6*(225+113*x)/(339*x+337)/(x-1) lgdogf] A158392 5.62516 [(18992608024*f(x)-17450160155705)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+678*x+674) ogf] A158392 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=674,a(1)=2700,a(2)=6078} ogf] A158393 15.5540 [(x+675)/(x-1)^2 ogf] A158393 16.6675 [-1/2*(-675-2*x+(455625+2704*x)^(1/2))/(x-1) revogf] A158393 31.1610 [-(1351+x)/(x+675)/(x-1) lgdogf] A158393 7.69514 [(1352*f(x)+912601)*(f(x)*x^2-2*f(x)*x+f(x)-x-675) ogf] A158393 8.40274 [{-a(n+2)+2*a(n+1)-a(n),a(0)=675,a(1)=1351} ogf] A158394 12.8901 [-(731*x+727)/(x-1)^3 ogf] A158394 21.8447 [-2*(1456+731*x)/(731*x+727)/(x-1) lgdogf] A158394 5.40247 [(66585210112620*f(x)-65977674634823359)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+731*x+727) ogf] A158394 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=727,a(1)=2912,a(2)=6555} ogf] A158395 15.6303 [(x+728)/(x-1)^2 ogf] A158395 20.0080 [-(-364-x+(132496+729*x)^(1/2))/(x-1) revogf] A158395 31.3168 [-(1457+x)/(x+728)/(x-1) lgdogf] A158395 7.65231 [(1458*f(x)+1061425)*(f(x)*x^2-2*f(x)*x+f(x)-x-728) ogf] A158395 8.44393 [{-a(n+2)+2*a(n+1)-a(n),a(0)=728,a(1)=1457} ogf] A158396 12.8901 [-(727*x+731)/(x-1)^3 ogf] A158396 21.8447 [-2*(1460+727*x)/(727*x+731)/(x-1) lgdogf] A158396 5.40247 [(66721582124748*f(x)-66204748305270275)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+727*x+731) ogf] A158396 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=731,a(1)=2920,a(2)=6567} ogf] A158397 15.6303 [-(x-730)/(x-1)^2 ogf] A158397 20.0080 [-(-365-x+(133225+729*x)^(1/2))/(1+x) revogf] A158397 30.0120 [-(-1459+x)/(x-1)/(x-730) lgdogf] A158397 7.65231 [(1458*f(x)+1064341)*(f(x)*x^2-2*f(x)*x+f(x)+x-730) ogf] A158397 8.44393 [{-a(n+2)+2*a(n+1)-a(n),a(0)=730,a(1)=1459} ogf] A158398 12.8901 [-2*(393*x+391)/(x-1)^3 ogf] A158398 22.5273 [-6*(261+131*x)/(393*x+391)/(x-1) lgdogf] A158398 5.56618 [(103097787520*f(x)-109869770984261)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+786*x+782) ogf] A158398 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=782,a(1)=3132,a(2)=7050} ogf] A158399 15.7065 [(x+783)/(x-1)^2 ogf] A158399 16.8342 [-1/2*(-783-2*x+(613089+3136*x)^(1/2))/(x-1) revogf] A158399 31.4727 [-(1567+x)/(x+783)/(x-1) lgdogf] A158399 7.68963 [(1568*f(x)+1227745)*(f(x)*x^2-2*f(x)*x+f(x)-x-783) ogf] A158399 8.48511 [{-a(n+2)+2*a(n+1)-a(n),a(0)=783,a(1)=1567} ogf] A158401 12.9509 [-(843*x+839)/(x-1)^3 ogf] A158401 22.6356 [-6*(560+281*x)/(843*x+839)/(x-1) lgdogf] A158401 5.42795 [(39317832834596*f(x)-44948721768125605)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+843*x+839) ogf] A158401 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=839,a(1)=3360,a(2)=7563} ogf] A158402 15.2048 [(x+840)/(x-1)^2 ogf] A158402 19.4557 [-(-420-x+(176400+841*x)^(1/2))/(x-1) revogf] A158402 30.4523 [-(1681+x)/(x+840)/(x-1) lgdogf] A158402 7.44401 [(1682*f(x)+1412881)*(f(x)*x^2-2*f(x)*x+f(x)-x-840) ogf] A158402 8.21408 [{-a(n+2)+2*a(n+1)-a(n),a(0)=840,a(1)=1681} ogf] A158403 12.9509 [-(839*x+843)/(x-1)^3 ogf] A158403 21.9497 [-2*(1684+839*x)/(839*x+843)/(x-1) lgdogf] A158403 5.34929 [(118162876312780*f(x)-135248363850424371)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+839*x+843) ogf] A158403 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=843,a(1)=3368,a(2)=7575} ogf] A158404 15.2048 [-(x-842)/(x-1)^2 ogf] A158404 19.4557 [-(-421-x+(177241+841*x)^(1/2))/(1+x) revogf] A158404 29.1835 [-(-1683+x)/(x-1)/(x-842) lgdogf] A158404 7.44401 [(1682*f(x)+1416245)*(f(x)*x^2-2*f(x)*x+f(x)+x-842) ogf] A158404 8.21408 [{-a(n+2)+2*a(n+1)-a(n),a(0)=842,a(1)=1683} ogf] A158406 12.9509 [-2*(449*x+451)/(x-1)^3 ogf] A158406 22.6356 [-2*(901+449*x)/(449*x+451)/(x-1) lgdogf] A158406 5.50897 [(4842748215000*f(x)-5931604371199051)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+898*x+902) ogf] A158406 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=902,a(1)=3604,a(2)=8106} ogf] A158407 15.2048 [-(x-901)/(x-1)^2 ogf] A158407 16.2885 [-1/2*(-901-2*x+(811801+3600*x)^(1/2))/(1+x) revogf] A158407 29.1835 [-(-1801+x)/(x-1)/(x-901) lgdogf] A158407 7.44401 [(1800*f(x)+1621801)*(f(x)*x^2-2*f(x)*x+f(x)+x-901) ogf] A158407 8.21408 [{-a(n+2)+2*a(n+1)-a(n),a(0)=901,a(1)=1801} ogf] A158408 12.9509 [-2*(451*x+449)/(x-1)^3 ogf] A158408 22.6356 [-2*(899+451*x)/(451*x+449)/(x-1) lgdogf] A158408 5.50897 [(4834729215000*f(x)-5915119843309049)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+902*x+898) ogf] A158408 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=898,a(1)=3596,a(2)=8094} ogf] A158409 15.2048 [(x+899)/(x-1)^2 ogf] A158409 16.2885 [-1/2*(-899-2*x+(808201+3600*x)^(1/2))/(x-1) revogf] A158409 30.4523 [-(1799+x)/(x+899)/(x-1) lgdogf] A158409 7.44401 [(1800*f(x)+1618201)*(f(x)*x^2-2*f(x)*x+f(x)-x-899) ogf] A158409 8.21408 [{-a(n+2)+2*a(n+1)-a(n),a(0)=899,a(1)=1799} ogf] A158410 12.9509 [-(963*x+959)/(x-1)^3 ogf] A158410 22.6356 [-6*(640+321*x)/(963*x+959)/(x-1) lgdogf] A158410 5.42795 [(67042042839076*f(x)-87586059914891885)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+963*x+959) ogf] A158410 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=959,a(1)=3840,a(2)=8643} ogf] A158411 10.346 [-(f(x)+2)*(x^4+x^3+f(x)*x+x^2-f(x)+x) ogf] A158411 16.5173 [-x*(x+1)*(x^2+1)/(x-1) ogf] A158411 25.7678 [2*(-1-x-x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A158411 37.5782 [[-x^3+2] ogf_with_Euler_transform] A158411 6.87215 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4,a(5)=4} ogf] A158412 15.2804 [(x+960)/(x-1)^2 ogf] A158412 19.5544 [-(-480-x+(230400+961*x)^(1/2))/(x-1) revogf] A158412 30.6069 [-(1921+x)/(x+960)/(x-1) lgdogf] A158412 7.48104 [(1922*f(x)+1845121)*(f(x)*x^2-2*f(x)*x+f(x)-x-960) ogf] A158412 8.25495 [{-a(n+2)+2*a(n+1)-a(n),a(0)=960,a(1)=1921} ogf] A158413 12.9509 [-(959*x+963)/(x-1)^3 ogf] A158413 21.9497 [-2*(1924+959*x)/(959*x+963)/(x-1) lgdogf] A158413 5.42795 [(28776932830420*f(x)-37634843528611293)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+959*x+963) ogf] A158413 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=963,a(1)=3848,a(2)=8655} ogf] A158414 15.2804 [-(x-962)/(x-1)^2 ogf] A158414 19.5544 [-(-481-x+(231361+961*x)^(1/2))/(1+x) revogf] A158414 29.3316 [-(-1923+x)/(x-1)/(x-962) lgdogf] A158414 7.48104 [(1922*f(x)+1848965)*(f(x)*x^2-2*f(x)*x+f(x)+x-962) ogf] A158414 8.25495 [{-a(n+2)+2*a(n+1)-a(n),a(0)=962,a(1)=1923} ogf] A158416 10.1931 [(2*f(x)+11)*(f(x)*x^4-2*f(x)*x^2+x^3+f(x)-x-1) ogf] A158416 16.8097 [-(x^3-x-1)/(x-1)^2/(x+1)^2 ogf] A158416 26.8640 [-(-1-4*x+x^4)/(x-1)/(x+1)/(x^3-x-1) lgdogf] A158420 12.1063 [-2*(513*x+511)/(x-1)^3 ogf] A158420 21.8917 [-6*(341+171*x)/(513*x+511)/(x-1) lgdogf] A158420 5.25198 [(2700998082560*f(x)-3760128168647509)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1026*x+1022) ogf] A158420 5.90306 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1022,a(1)=4092,a(2)=9210} ogf] A158421 15.1102 [(x+1023)/(x-1)^2 ogf] A158421 15.8016 [-1/2*(-1023-2*x+(1046529+4096*x)^(1/2))/(x-1) revogf] A158421 29.6279 [-(2047+x)/(x+1023)/(x-1) lgdogf] A158421 7.47723 [(2048*f(x)+2095105)*(f(x)*x^2-2*f(x)*x+f(x)-x-1023) ogf] A158421 8.24194 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1023,a(1)=2047} ogf] A158443 12.2377 [4*(x^2-6*x-3)/(x-1)^3 ogf] A158443 22.9158 [-(-15-10*x+x^2)/(x-1)/(x^2-6*x-3) lgdogf] A158443 6.64634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=60,a(2)=140} ogf] A158443 6.94139 [(252*f(x)-15299)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+24*x+12) ogf] A158444 12.4946 [-4*(x^2+2*x+5)/(x-1)^3 ogf] A158444 24.5132 [-(17+6*x+x^2)/(x-1)/(x^2+2*x+5) lgdogf] A158444 6.67815 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=68,a(2)=148} ogf] A158444 7.21533 [(58*f(x)-995)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+8*x+20) ogf] A158445 11.8366 [-5*(x^2+3*x+6)/(x-1)^3 ogf] A158445 23.5857 [-(21+8*x+x^2)/(x-1)/(x^2+3*x+6) lgdogf] A158445 6.37356 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=105,a(2)=230} ogf] A158445 6.90105 [(1164*f(x)-32845)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+15*x+30) ogf] A158446 11.7211 [5*(x^2-7*x-4)/(x-1)^3 ogf] A158446 21.9358 [-(-19-12*x+x^2)/(x-1)/(x^2-7*x-4) lgdogf] A158446 6.36578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=95,a(2)=220} ogf] A158446 7.07042 [(1196*f(x)-47845)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+35*x+20) ogf] A158447 12.6599 [(x^2-12*x-9)/(x-1)^3 ogf] A158447 22.6459 [-(-39-22*x+x^2)/(x-1)/(x^2-12*x-9) lgdogf] A158447 6.70864 [(297*f(x)-4393)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+12*x+9) ogf] A158447 6.88518 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=39,a(2)=89} ogf] A158450 4.05336 [(-1079023+1229874*f(x))*(32*f(x)*x^4-176*f(x)*x^3-28*x^4+154*f(x)*x^2+154*x^3-33*f(x)*x-134*x^2+f(x)+29*x-1) ogf] A158450 6.19218 [(28*x^4-154*x^3+134*x^2-29*x+1)/(32*x^4-176*x^3+154*x^2-33*x+1) ogf] A158453 5.03601 [(83387651*f(x)-1153336)*(8*f(x)*x^4-54*f(x)*x^3+73*f(x)*x^2-22*f(x)*x+2*x^2+f(x)-x-1) ogf] A158453 7.57002 [-(23-150*x+32*x^5-132*x^4+76*x^3+133*x^2)/(x-1)/(1+2*x)/(8*x^4-54*x^3+73*x^2-22*x+1) lgdogf] A158453 8.99226 [-(2*x+1)*(x-1)/(8*x^4-54*x^3+73*x^2-22*x+1) ogf] A158455 15.1802 [-(2*x-5)/(2*x-1)^2 egf] A158455 24.8642 [-2*(-9+2*x)/(2*x-1)/(2*x-5) lgdegf] A158455 3.88131 [{(-2*n^2-8*n-8)*a(n+1)+(-20*n^2-139*n-234)*a(n+2)+(10*n+30)*a(n+3),a(0)=5,a(1)=18,a(2)=104} ogf] A158455 7.94314 [(8*f(x)+41)*(4*f(x)*x^2-4*f(x)*x+f(x)+2*x-5) egf] A158459 13.0607 [-x*(x^2+2*x+3)/(x-1)/(x+1)/(x^2+1) ogf] A158459 13.7965 [-2*(1+x+x^5+3*x^4+6*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2+2*x+3) lgdogf] A158459 8.6527 [(2*f(x)-25)*(f(x)*x^4+x^3+2*x^2-f(x)+3*x) ogf] A158462 12.0676 [6*(x^2-8*x-5)/(x-1)^3 ogf] A158462 22.5971 [-(-23-14*x+x^2)/(x-1)/(x^2-8*x-5) lgdogf] A158462 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=138,a(2)=318} ogf] A158462 7.08387 [(179*f(x)-10050)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+48*x+30) ogf] A158463 12.1428 [-(11*x^2+14*x-1)/(x-1)^3 ogf] A158463 19.3296 [-(11+50*x+11*x^2)/(x-1)/(11*x^2+14*x-1) lgdogf] A158463 6.59479 [(40*f(x)-347)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+14*x-1) ogf] A158463 6.71048 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=11,a(2)=47} ogf] A158478 10.3857 [{-a(n+4)+a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=3} ogf] A158478 12.4891 [(9*f(x)+2)*(f(x)*x^2+2*x^3+2*x^2-f(x)+x) ogf] A158478 18.6158 [-x*(2*x^2+2*x+1)/(x-1)/(x+1) ogf] A158478 24.3169 [-2*(1+3*x+x^2)/(x-1)/(x+1)/(2*x^2+2*x+1) lgdogf] A158479 12.0676 [-6*(x^2+4*x+7)/(x-1)^3 ogf] A158479 28.6810 [-(x+5)^2/(x-1)/(x^2+4*x+7) lgdogf] A158479 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=42,a(1)=150,a(2)=330} ogf] A158479 7.39457 [(f(x)-42)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+24*x+42) ogf] A158480 11.9450 [-(x^2+10*x+13)/(x-1)^3 ogf] A158480 21.6993 [-(49+22*x+x^2)/(x-1)/(x^2+10*x+13) lgdogf] A158480 6.48734 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=49,a(2)=109} ogf] A158480 6.94866 [(272*f(x)-2117)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+10*x+1) ogf] A158481 11.8071 [-7*(x^2+5*x+8)/(x-1)^3 ogf] A158481 22.7939 [-(29+12*x+x^2)/(x-1)/(x^2+5*x+8) lgdogf] A158481 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=56,a(1)=203,a(2)=448} ogf] A158481 6.88591 [(1636*f(x)-95711)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+35*x+56) ogf] A158482 12.1206 [-(x^2+12*x+15)/(x-1)^3 ogf] A158482 22.0248 [-(57+26*x+x^2)/(x-1)/(x^2+12*x+15) lgdogf] A158482 6.47117 [(411*f(x)-7345)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+12*x+15) ogf] A158482 6.58274 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=57,a(2)=127} ogf] A158484 11.8071 [7*(x^2-9*x-6)/(x-1)^3 ogf] A158484 22.1032 [-(-27-16*x+x^2)/(x-1)/(x^2-9*x-6) lgdogf] A158484 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=42,a(1)=189,a(2)=434} ogf] A158484 6.829 [(1668*f(x)-125111)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+63*x+42) ogf] A158485 12.1206 [(x^2-16*x-13)/(x-1)^3 ogf] A158485 21.3955 [-(-55-30*x+x^2)/(x-1)/(x^2-16*x-13) lgdogf] A158485 6.52648 [(83*f(x)-1679)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+16*x+13) ogf] A158485 6.58274 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=55,a(2)=125} ogf] A158487 11.5469 [8*(x^2-10*x-7)/(x-1)^3 ogf] A158487 20.9741 [-(-31-18*x+x^2)/(x-1)/(x^2-10*x-7) lgdogf] A158487 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=56,a(1)=248,a(2)=568} ogf] A158487 7.18859 [(17*f(x)-1642)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+80*x+56) ogf] A158488 11.5469 [-8*(x+3)^2/(x-1)^3 ogf] A158488 37.5327 [-(11+x)/(x+3)/(x-1) lgdogf] A158488 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=72,a(1)=264,a(2)=584} ogf] A158488 7.12767 [(117*f(x)-9094)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+48*x+72) ogf] A158490 11.5775 [10*(x^2-12*x-9)/(x-1)^3 ogf] A158490 21.7119 [-(-39-22*x+x^2)/(x-1)/(x^2-12*x-9) lgdogf] A158490 6.43196 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=90,a(1)=390,a(2)=890} ogf] A158490 6.73404 [(297*f(x)-43930)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-10*x^2-f(x)+120*x+90) ogf] A158491 11.9793 [(x^2-22*x-19)/(x-1)^3 ogf] A158491 21.1440 [-(-79-42*x+x^2)/(x-1)/(x^2-22*x-19) lgdogf] A158491 6.50597 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=79,a(2)=179} ogf] A158491 6.97698 [(1184*f(x)-33611)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+22*x+19) ogf] A158492 11.4673 [-10*(11*x^2+8*x+1)/(x-1)^3 ogf] A158492 19.2378 [-(11+38*x+11*x^2)/(x-1)/(11*x^2+8*x+1) lgdogf] A158492 6.37070 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=110,a(2)=410} ogf] A158492 6.9913 [(113*f(x)-7250)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+110*x^2-f(x)+80*x+10) ogf] A158493 12.1792 [-(21*x^2+18*x+1)/(x-1)^3 ogf] A158493 19.2957 [-3*(7+26*x+7*x^2)/(x-1)/(21*x^2+18*x+1) lgdogf] A158493 6.73059 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=81} ogf] A158493 7.20365 [(152*f(x)-2015)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+18*x+1) ogf] A158494 4.79005 [{a(n+5)-6*a(n+4)+11*a(n+3)-6*a(n+2),a(0)=4,a(1)=24,a(2)=80,a(3)=248,a(4)=768} ogf] A158494 5.52135 [(353*f(x)+1904)*(6*f(x)*x^3+16*x^4-11*f(x)*x^2+8*x^3+6*f(x)*x-20*x^2-f(x)+4) ogf] A158494 6.70922 [2*(-3+16*x-27*x^2+4*x^3+40*x^4-44*x^5+12*x^6)/(x-1)/(-1+3*x)/(2*x-1)/(4*x^4+2*x^3-5*x^2+1) lgdogf] A158494 9.51708 [-4*(4*x^4+2*x^3-5*x^2+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A158495 4.86958 [4*f(x)^2*x^2-4*f(x)^2*x-8*f(x)*x^2+f(x)^2+6*f(x)*x+4*x^2-f(x)-x ogf] A158496 13.0567 [(x^2-4*x+1)/(x^2+1)^2 ogf] A158496 22.9045 [-2*(2+x-6*x^2+x^3)/(1+x^2)/(x^2-4*x+1) lgdogf] A158496 7.59419 [-(2*f(x)-61)*(f(x)*x^4+2*f(x)*x^2-x^2+f(x)+4*x-1) ogf] A158498 15.7620 [-(2-4*x+11*x^2+3*x^3)/(x-1)/(3*x^3+x^2-2*x+1) lgdogf] A158498 3.75205 [{(161*n^2+877*n+1110)*a(n+1)+(-304*n^2-1244*n-684)*a(n+2)+(143*n^2+421*n-24)*a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A158498 5.20969 [(30*f(x)+29)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-x^2+f(x)+2*x-1) ogf] A158498 9.40449 [(3*x^3+x^2-2*x+1)/(x-1)^4 ogf] A158499 4.02976 [{(-8*n-12)*a(n+1)+(6*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A158499 6.73101 [-4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2-2*f(x)*x+f(x)-x ogf] A158500 5.19775 [4*f(x)^2*x-8*f(x)*x^2+4*x^3+f(x)^2-6*f(x)*x+4*x^2-f(x)+x ogf] A158500 8.26293 [-1/2*(-1-6*x-16*x^2+(1+4*x)^(1/2)+2*(1+4*x)^(1/2)*x)/(1+2*x)/(1+4*x)/x lgdogf] A158501 6.31486 [-(x^5+9*x^4-2*x^3+22*x^2+x+1)/(x-1)^3/(x+1)^4 ogf] A158501 8.70931 [-2*x*(25-11*x+74*x^2-6*x^3+13*x^4+x^5)/(x-1)/(x+1)/(x^5+9*x^4-2*x^3+22*x^2+x+1) lgdogf] A158513 5.66130 [{(2*n+4)*a(n+1)+a(n+3)-10*a(n+2),a(0)=1,a(1)=10,a(2)=98} ogf] A158513 56.8310 [-10+2*x+f(x) lgdegf] A158515 11.3432 [-f(x)*(2*x^4+f(x)*x^2+2*x^3+2*x^2-f(x)+x) ogf] A158515 15.4342 [-x*(2*x^3+2*x^2+2*x+1)/(x-1)/(x+1) ogf] A158515 17.8392 [2*(-1-3*x+x^4-4*x^2)/(x-1)/(x+1)/(2*x^3+2*x^2+2*x+1) lgdogf] A158515 8.79892 [{a(n+5)-a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4} ogf] A158516 5.72135 [{(2*n+4)*a(n+1)+a(n+3)-12*a(n+2),a(0)=1,a(1)=12,a(2)=142} ogf] A158516 57.1685 [-12+2*x+f(x) lgdegf] A158525 10.6994 [-(67-208*x+232*x^2-112*x^3+20*x^4)/(x-1)/(2*x^2-4*x+1)/(10*x^2-28*x+19) lgdogf] A158525 12.0708 [-2*(10*x^2-28*x+19)/(x-1)/(2*x^2-4*x+1) ogf] A158525 6.38455 [(5709*f(x)+34582)*(2*f(x)*x^3-6*f(x)*x^2+5*f(x)*x+20*x^2-f(x)-56*x+38) ogf] A158525 6.60283 [{a(n+3)-5*a(n+2)+6*a(n+1)-2*a(n),a(0)=38,a(1)=134,a(2)=462} ogf] A158527 3.41618 [-(139*x^6+4746*x^5+29445*x^4+52300*x^3+29445*x^2+4746*x+139)/(x-1)^9 ogf] A158530 120.328 [14-2*x lgdegf] A158530 6.01602 [{(2*n+4)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=194} ogf] A158531 5.64753 [{(2*n+4)*a(n+1)+a(n+3)-16*a(n+2),a(0)=1,a(1)=16,a(2)=254} ogf] A158531 56.4351 [-16+2*x+f(x) lgdegf] A158532 5.21214 [{(2*n+4)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=322} ogf] A158532 52.0267 [-18+2*x+f(x) lgdegf] A158534 41.3578 [-20+2*x+f(x) lgdegf] A158534 5.40167 [{(2*n+4)*a(n+1)+a(n+3)-20*a(n+2),a(0)=1,a(1)=20,a(2)=398} ogf] A158535 42.5130 [-22+2*x+f(x) lgdegf] A158535 5.56752 [{(2*n+4)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=482} ogf] A158536 11.2130 [-11*(12*x^2+9*x+1)/(x-1)^3 ogf] A158536 19.3142 [-6*(2+7*x+2*x^2)/(x-1)/(12*x^2+9*x+1) lgdogf] A158536 6.22946 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=132,a(2)=495} ogf] A158536 6.57676 [-(332*f(x)-25927)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+132*x^2-f(x)+99*x+11) ogf] A158537 11.8630 [-(23*x^2+20*x+1)/(x-1)^3 ogf] A158537 18.7875 [-(23+86*x+23*x^2)/(x-1)/(23*x^2+20*x+1) lgdogf] A158537 6.55584 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=23,a(2)=89} ogf] A158537 7.03189 [(251*f(x)-3671)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+23*x^2-f(x)+20*x+1) ogf] A158538 43.4372 [-24+2*x+f(x) lgdegf] A158538 5.68598 [{(2*n+4)*a(n+1)+a(n+3)-24*a(n+2),a(0)=1,a(1)=24,a(2)=574} ogf] A158539 10.7928 [11*(x^2-13*x-10)/(x-1)^3 ogf] A158539 19.9491 [-(-43-24*x+x^2)/(x-1)/(x^2-13*x-10) lgdogf] A158539 5.98592 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=110,a(1)=473,a(2)=1078} ogf] A158539 6.74714 [(2612*f(x)-464035)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+143*x+110) ogf] A158540 11.6634 [(x^2-24*x-21)/(x-1)^3 ogf] A158540 20.5784 [-(-87-46*x+x^2)/(x-1)/(x^2-24*x-21) lgdogf] A158540 6.33442 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=87,a(2)=197} ogf] A158540 7.21977 [(93*f(x)-2893)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+24*x+21) ogf] A158542 44.5925 [-26+2*x+f(x) lgdegf] A158542 5.82812 [{(2*n+4)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=674} ogf] A158543 10.9531 [12*(x^2-14*x-11)/(x-1)^3 ogf] A158543 20.2514 [-(-47-26*x+x^2)/(x-1)/(x^2-14*x-11) lgdogf] A158543 6.07482 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=132,a(1)=564,a(2)=1284} ogf] A158543 6.68908 [(178*f(x)-37401)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-12*x^2-f(x)+168*x+132) ogf] A158544 11.7211 [(x^2-26*x-23)/(x-1)^3 ogf] A158544 20.6823 [-(-95-50*x+x^2)/(x-1)/(x^2-26*x-23) lgdogf] A158544 6.36578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23,a(1)=95,a(2)=215} ogf] A158544 6.95508 [(284*f(x)-9607)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+26*x+23) ogf] A158545 45.2856 [-28+2*x+f(x) lgdegf] A158545 5.22518 [{(2*n+4)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=782} ogf] A158546 11.2047 [-12*(13*x^2+10*x+1)/(x-1)^3 ogf] A158546 18.5972 [-(13+46*x+13*x^2)/(x-1)/(13*x^2+10*x+1) lgdogf] A158546 6.32062 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=156,a(2)=588} ogf] A158546 6.94173 [(68*f(x)-6351)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+156*x^2-f(x)+120*x+12) ogf] A158547 11.9211 [-(25*x^2+22*x+1)/(x-1)^3 ogf] A158547 18.8814 [-(25+94*x+25*x^2)/(x-1)/(25*x^2+22*x+1) lgdogf] A158547 6.36466 [(548*f(x)-8765)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+22*x+1) ogf] A158547 6.58798 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=97} ogf] A158548 11.3663 [-13*(14*x^2+11*x+1)/(x-1)^3 ogf] A158548 18.8707 [-2*(7+25*x+7*x^2)/(x-1)/(14*x^2+11*x+1) lgdogf] A158548 6.41179 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=182,a(2)=689} ogf] A158548 6.55207 [(1180*f(x)-129883)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+182*x^2-f(x)+143*x+13) ogf] A158549 12.0374 [-(27*x^2+24*x+1)/(x-1)^3 ogf] A158549 19.0693 [-3*(9+34*x+9*x^2)/(x-1)/(27*x^2+24*x+1) lgdogf] A158549 6.59441 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=27,a(2)=105} ogf] A158549 7.24979 [(11*f(x)-191)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)+24*x+1) ogf] A158550 11.1134 [13*(x^2-15*x-12)/(x-1)^3 ogf] A158550 20.5536 [-(-51-28*x+x^2)/(x-1)/(x^2-15*x-12) lgdogf] A158550 6.16372 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=156,a(1)=663,a(2)=1508} ogf] A158550 6.66855 [(3084*f(x)-756509)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-13*x^2-f(x)+195*x+156) ogf] A158551 11.8366 [(x^2-28*x-25)/(x-1)^3 ogf] A158551 20.3099 [-(-103-54*x+x^2)/(x-1)/(x^2-28*x-25) lgdogf] A158551 6.37356 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=103,a(2)=233} ogf] A158551 6.95905 [(769*f(x)-28105)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+28*x+25) ogf] A158552 12.4973 [-(x^2+4*x+5)/(x-1)/(x+1)^2 ogf] A158552 19.8682 [-(-1+13*x+7*x^2+x^3)/(x-1)/(x+1)/(x^2+4*x+5) lgdogf] A158552 6.40619 [-(106*f(x)+459)*(f(x)*x^3+f(x)*x^2-f(x)*x+x^2-f(x)+4*x+5) ogf] A158552 6.80657 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=5,a(1)=-1,a(2)=7} ogf] A158553 11.2202 [14*(x^2-16*x-13)/(x-1)^3 ogf] A158553 20.7551 [-(-55-30*x+x^2)/(x-1)/(x^2-16*x-13) lgdogf] A158553 6.22299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=182,a(1)=770,a(2)=1750} ogf] A158553 6.89357 [(83*f(x)-23506)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-14*x^2-f(x)+224*x+182) ogf] A158554 11.9521 [(x^2-30*x-27)/(x-1)^3 ogf] A158554 20.5120 [-(-111-58*x+x^2)/(x-1)/(x^2-30*x-27) lgdogf] A158554 6.43574 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27,a(1)=111,a(2)=251} ogf] A158554 6.96295 [(1656*f(x)-65027)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+30*x+27) ogf] A158555 11.4741 [-14*(15*x^2+12*x+1)/(x-1)^3 ogf] A158555 19.0530 [-3*(5+18*x+5*x^2)/(x-1)/(15*x^2+12*x+1) lgdogf] A158555 6.47256 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=210,a(2)=798} ogf] A158555 6.61031 [-(53*f(x)-6790)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+210*x^2-f(x)+168*x+14) ogf] A158556 12.1537 [-(29*x^2+26*x+1)/(x-1)^3 ogf] A158556 18.7757 [-(29+110*x+29*x^2)/(x-1)/(29*x^2+26*x+1) lgdogf] A158556 6.65812 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=29,a(2)=113} ogf] A158556 7.12984 [(640*f(x)-11989)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+29*x^2-f(x)+26*x+1) ogf] A158557 11.5818 [-15*(16*x^2+13*x+1)/(x-1)^3 ogf] A158557 19.2354 [-2*(8+29*x+8*x^2)/(x-1)/(16*x^2+13*x+1) lgdogf] A158557 6.53333 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=240,a(2)=915} ogf] A158557 6.66855 [(1364*f(x)-201225)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+240*x^2-f(x)+195*x+15) ogf] A158558 12.1537 [-(31*x^2+28*x+1)/(x-1)^3 ogf] A158558 18.7757 [-(31+118*x+31*x^2)/(x-1)/(31*x^2+28*x+1) lgdogf] A158558 6.65812 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=31,a(2)=121} ogf] A158558 7.31423 [(49*f(x)-985)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31*x^2-f(x)+28*x+1) ogf] A158559 11.3271 [15*(x^2-17*x-14)/(x-1)^3 ogf] A158559 20.9567 [-(-59-32*x+x^2)/(x-1)/(x^2-17*x-14) lgdogf] A158559 6.28225 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=210,a(1)=885,a(2)=2010} ogf] A158559 6.84019 [(508*f(x)-164505)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+255*x+210) ogf] A158560 11.9521 [(x^2-32*x-29)/(x-1)^3 ogf] A158560 20.5120 [-(-119-62*x+x^2)/(x-1)/(x^2-32*x-29) lgdogf] A158560 6.43574 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=119,a(2)=269} ogf] A158560 7.02146 [(887*f(x)-37243)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+32*x+29) ogf] A158561 13.5312 [(-3+8*x)*(x-1)/(4*x-1)/(2*x-1) ogf] A158561 5.18062 [(7-32*x+40*x^2)/(-1+x)/(4*x-1)/(2*x-1)/(8*x-3) lgdogf] A158561 7.09404 [{a(n+3)-6*a(n+2)+8*a(n+1),a(0)=3,a(1)=7,a(2)=26} ogf] A158561 7.30685 [-(10*f(x)+19)*(8*f(x)*x^2-6*f(x)*x-8*x^2+f(x)+11*x-3) ogf] A158562 11.4874 [16*(x^2-18*x-15)/(x-1)^3 ogf] A158562 21.2589 [-(-63-34*x+x^2)/(x-1)/(x^2-18*x-15) lgdogf] A158562 6.31806 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=240,a(1)=1008,a(2)=2288} ogf] A158562 6.72644 [(237*f(x)-87020)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-16*x^2-f(x)+288*x+240) ogf] A158563 12.0098 [(x^2-34*x-31)/(x-1)^3 ogf] A158563 20.6130 [-(-127-66*x+x^2)/(x-1)/(x^2-34*x-31) lgdogf] A158563 6.46683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=31,a(1)=127,a(2)=287} ogf] A158563 6.99389 [(1892*f(x)-84587)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+34*x+31) ogf] A158570 11.1381 [-(x^7+5*x^6+2*x^5+x^4+x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A158574 11.7434 [-16*(17*x^2+14*x+1)/(x-1)^3 ogf] A158574 19.5088 [-(17+62*x+17*x^2)/(x-1)/(17*x^2+14*x+1) lgdogf] A158574 6.56836 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=272,a(2)=1040} ogf] A158574 6.98111 [(13*f(x)-2188)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+272*x^2-f(x)+224*x+16) ogf] A158575 12.2119 [-(33*x^2+30*x+1)/(x-1)^3 ogf] A158575 18.4072 [-3*(11+42*x+11*x^2)/(x-1)/(33*x^2+30*x+1) lgdogf] A158575 6.68998 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=33,a(2)=129} ogf] A158575 6.98655 [(244*f(x)-5239)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+33*x^2-f(x)+30*x+1) ogf] A158580 4.63613 [{(2*n+4)*a(n+1)+a(n+3)-30*a(n+2),a(0)=1,a(1)=30,a(2)=898} ogf] A158580 46.2098 [-30+2*x+f(x) lgdegf] A158585 11.3805 [-17*(18*x^2+15*x+1)/(x-1)^3 ogf] A158585 18.8977 [-6*(3+11*x+3*x^2)/(x-1)/(18*x^2+15*x+1) lgdogf] A158585 6.36538 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=306,a(2)=1173} ogf] A158585 6.45602 [-(172*f(x)-32759)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+306*x^2-f(x)+255*x+17) ogf] A158586 12.2119 [-(35*x^2+32*x+1)/(x-1)^3 ogf] A158586 18.8673 [-(35+134*x+35*x^2)/(x-1)/(35*x^2+32*x+1) lgdogf] A158586 6.68998 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=35,a(2)=137} ogf] A158586 7.22194 [(389*f(x)-8885)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+35*x^2-f(x)+32*x+1) ogf] A158587 11.1253 [17*(x^2-19*x-16)/(x-1)^3 ogf] A158587 20.5795 [-(-67-36*x+x^2)/(x-1)/(x^2-19*x-16) lgdogf] A158587 6.11889 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=272,a(1)=1139,a(2)=2584} ogf] A158587 6.62234 [(4028*f(x)-1664521)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-17*x^2-f(x)+323*x+272) ogf] A158588 12.0098 [(x^2-36*x-33)/(x-1)^3 ogf] A158588 20.6130 [-(-135-70*x+x^2)/(x-1)/(x^2-36*x-33) lgdogf] A158588 6.46683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=33,a(1)=135,a(2)=305} ogf] A158588 7.11243 [(201*f(x)-9533)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+36*x+33) ogf] A158589 10.7123 [18*(x^2-20*x-17)/(x-1)^3 ogf] A158589 19.8042 [-(-71-38*x+x^2)/(x-1)/(x^2-20*x-17) lgdogf] A158589 5.89176 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=306,a(1)=1278,a(2)=2898} ogf] A158589 6.75916 [(533*f(x)-246258)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-18*x^2-f(x)+360*x+306) ogf] A158590 10.9663 [-18*(19*x^2+16*x+1)/(x-1)^3 ogf] A158590 18.1998 [-(19+70*x+19*x^2)/(x-1)/(19*x^2+16*x+1) lgdogf] A158590 6.13371 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=18,a(1)=342,a(2)=1314} ogf] A158590 6.69707 [(205*f(x)-43866)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+342*x^2-f(x)+288*x+18) ogf] A158591 12.2700 [-(37*x^2+34*x+1)/(x-1)^3 ogf] A158591 18.9589 [-(37+142*x+37*x^2)/(x-1)/(37*x^2+34*x+1) lgdogf] A158591 6.72183 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=37,a(2)=145} ogf] A158591 6.95905 [(824*f(x)-19949)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+37*x^2-f(x)+34*x+1) ogf] A158592 11.0193 [-19*(20*x^2+17*x+1)/(x-1)^3 ogf] A158592 17.3973 [-2*(10+37*x+10*x^2)/(x-1)/(20*x^2+17*x+1) lgdogf] A158592 6.16334 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=380,a(2)=1463} ogf] A158592 6.61795 [(1732*f(x)-413725)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+380*x^2-f(x)+323*x+19) ogf] A158593 12.2700 [-(39*x^2+36*x+1)/(x-1)^3 ogf] A158593 18.4965 [-3*(13+50*x+13*x^2)/(x-1)/(39*x^2+36*x+1) lgdogf] A158593 6.72183 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=39,a(2)=153} ogf] A158593 7.01802 [(145*f(x)-3709)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+39*x^2-f(x)+36*x+1) ogf] A158595 10.7648 [19*(x^2-21*x-18)/(x-1)^3 ogf] A158595 19.9032 [-(-75-40*x+x^2)/(x-1)/(x^2-21*x-18) lgdogf] A158595 5.92064 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=342,a(1)=1425,a(2)=3230} ogf] A158595 6.9005 [(36*f(x)-18487)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-19*x^2-f(x)+399*x+342) ogf] A158596 12.0676 [(x^2-40*x-37)/(x-1)^3 ogf] A158596 20.7141 [-(-151-78*x+x^2)/(x-1)/(x^2-40*x-37) lgdogf] A158596 6.49791 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=37,a(1)=151,a(2)=341} ogf] A158596 7.02484 [(1123*f(x)-59371)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+40*x+37) ogf] A158597 10.8173 [20*(x^2-22*x-19)/(x-1)^3 ogf] A158597 20.0023 [-(-79-42*x+x^2)/(x-1)/(x^2-22*x-19) lgdogf] A158597 5.94952 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=380,a(1)=1580,a(2)=3580} ogf] A158597 6.81743 [(296*f(x)-168055)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-20*x^2-f(x)+440*x+380) ogf] A158598 11.6925 [(x^2-42*x-39)/(x-1)^3 ogf] A158598 20.0607 [-(-159-82*x+x^2)/(x-1)/(x^2-42*x-39) lgdogf] A158598 6.29597 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=39,a(1)=159,a(2)=359} ogf] A158598 6.99747 [(2364*f(x)-131411)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+42*x+39) ogf] A158601 11.1253 [-20*(21*x^2+18*x+1)/(x-1)^3 ogf] A158601 18.4687 [-3*(7+26*x+7*x^2)/(x-1)/(21*x^2+18*x+1) lgdogf] A158601 6.22260 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=420,a(2)=1620} ogf] A158601 6.62234 [-(38*f(x)-10075)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+420*x^2-f(x)+360*x+20) ogf] A158602 11.9521 [-(41*x^2+38*x+1)/(x-1)^3 ogf] A158602 18.4608 [-(41+158*x+41*x^2)/(x-1)/(41*x^2+38*x+1) lgdogf] A158602 6.54766 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=41,a(2)=161} ogf] A158602 7.02146 [(916*f(x)-24685)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+41*x^2-f(x)+38*x+1) ogf] A158603 11.1253 [-21*(22*x^2+19*x+1)/(x-1)^3 ogf] A158603 17.5678 [-2*(11+41*x+11*x^2)/(x-1)/(22*x^2+19*x+1) lgdogf] A158603 6.22260 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=462,a(2)=1785} ogf] A158603 6.67575 [(1916*f(x)-560931)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+462*x^2-f(x)+399*x+21) ogf] A158604 11.9521 [-(43*x^2+40*x+1)/(x-1)^3 ogf] A158604 18.4608 [-(43+166*x+43*x^2)/(x-1)/(43*x^2+40*x+1) lgdogf] A158604 6.54766 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=43,a(2)=169} ogf] A158604 7.02146 [(481*f(x)-13621)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+43*x^2-f(x)+40*x+1) ogf] A158607 12.7537 [-(7*x^4+5*x^3+13*x^2+11*x+9)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A158607 7.60880 [-(11+26*x+10*x^7+7*x^8+15*x^2+28*x^3+45*x^4+44*x^5+39*x^6)/(x-1)/(x^4+x^3+x^2+x+1)/(7*x^4+5*x^3+13*x^2+11*x+9) lgdogf] A158608 13.8370 [-(3*x+1)/(16*x^2+x-1) ogf] A158608 15.2186 [1/2/(3+16*x)*(-1-x+(1+14*x+65*x^2)^(1/2)) revogf] A158608 15.9990 [-4*(2*x+1)*(6*x+1)/(3*x+1)/(16*x^2+x-1) lgdogf] A158608 7.23302 [(41*f(x)-25)*(16*f(x)*x^2+f(x)*x-f(x)+3*x+1) ogf] A158608 7.66872 [{-a(n+2)+a(n+1)+16*a(n),a(0)=1,a(1)=4} ogf] A158609 12.4178 [-(8*x+1)/(81*x^2+x-1) ogf] A158609 13.3201 [1/2/(8+81*x)*(-1-x+(1+34*x+325*x^2)^(1/2)) revogf] A158609 13.9861 [-9*(6*x+1)*(12*x+1)/(8*x+1)/(81*x^2+x-1) lgdogf] A158609 6.3469 [(181*f(x)-100)*(81*f(x)*x^2+f(x)*x-f(x)+8*x+1) ogf] A158609 6.88218 [{-a(n+2)+a(n+1)+81*a(n),a(0)=1,a(1)=9} ogf] A158610 11.5099 [-(15*x+1)/(256*x^2+x-1) ogf] A158610 12.0254 [1/2/(15+256*x)*(-1-x+(1+62*x+1025*x^2)^(1/2)) revogf] A158610 12.2987 [-16*(12*x+1)*(20*x+1)/(15*x+1)/(256*x^2+x-1) lgdogf] A158610 6.00518 [(545*f(x)-289)*(256*f(x)*x^2+f(x)*x-f(x)+15*x+1) ogf] A158610 6.49972 [{-a(n+2)+a(n+1)+256*a(n),a(0)=1,a(1)=16} ogf] A158617 4.73369 [{(2*n+4)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=1022} ogf] A158617 47.5961 [-32+2*x+f(x) lgdegf] A158620 4.14912 [{(-n^3-12*n^2-48*n-63)*a(n+1)+a(n+2),a(0)=7,a(1)=182} ogf] A158621 4.17192 [{(-n^3-12*n^2-48*n-65)*a(n+1)+a(n+2),a(0)=9,a(1)=252} ogf] A158622 6.60647 [-(13+14*x+x^10+2*x^9+3*x^8+27*x^6+66*x^5+39*x^4+93*x^2+120*x^3)/(x-1)/(x+x^2+1)/(x^8+x^7+x^6-2*x^5+4*x^4+10*x^3+7*x^2+13*x+7) lgdogf] A158622 7.31838 [-(x^8+x^7+x^6-2*x^5+4*x^4+10*x^3+7*x^2+13*x+7)/(x-1)^3/(x^2+x+1)^3 ogf] A158623 5.42260 [{(n^2+13*n+42)*a(n+1)+(-n^2-7*n-12)*a(n+4),a(0)=9,a(1)=18,a(2)=10,a(3)=45} ogf] A158623 7.38725 [-(18+20*x+108*x^5+45*x^6+180*x^3+60*x^4+135*x^2+x^10)/(x-1)/(x^2+x+1)/(x^8-2*x^5+9*x^4+18*x^3+10*x^2+18*x+9) lgdogf] A158623 8.13390 [-(x^8-2*x^5+9*x^4+18*x^3+10*x^2+18*x+9)/(x-1)^3/(x^2+x+1)^3 ogf] A158626 11.7498 [(x^2-44*x-41)/(x-1)^3 ogf] A158626 20.1610 [-(-167-86*x+x^2)/(x-1)/(x^2-44*x-41) lgdogf] A158626 6.32683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=41,a(1)=167,a(2)=377} ogf] A158626 7.08673 [(1241*f(x)-72361)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+44*x+41) ogf] A158627 10.9223 [22*(x^2-24*x-21)/(x-1)^3 ogf] A158627 20.2003 [-(-87-46*x+x^2)/(x-1)/(x^2-24*x-21) lgdogf] A158627 6.00728 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=462,a(1)=1914,a(2)=4334} ogf] A158627 6.72872 [(93*f(x)-63646)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-22*x^2-f(x)+528*x+462) ogf] A158628 11.7498 [(x^2-46*x-43)/(x-1)^3 ogf] A158628 20.1610 [-(-175-90*x+x^2)/(x-1)/(x^2-46*x-43) lgdogf] A158628 6.32683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=43,a(1)=175,a(2)=395} ogf] A158628 6.97136 [(104*f(x)-6347)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+46*x+43) ogf] A158629 11.1782 [-22*(23*x^2+20*x+1)/(x-1)^3 ogf] A158629 18.5584 [-(23+86*x+23*x^2)/(x-1)/(23*x^2+20*x+1) lgdogf] A158629 6.25224 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=22,a(1)=506,a(2)=1958} ogf] A158629 6.81456 [(251*f(x)-80762)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+506*x^2-f(x)+440*x+22) ogf] A158630 11.9521 [-(45*x^2+42*x+1)/(x-1)^3 ogf] A158630 18.0105 [-3*(15+58*x+15*x^2)/(x-1)/(45*x^2+42*x+1) lgdogf] A158630 6.54766 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=45,a(2)=177} ogf] A158630 7.20305 [(16*f(x)-475)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+45*x^2-f(x)+42*x+1) ogf] A158631 11.2312 [-23*(24*x^2+21*x+1)/(x-1)^3 ogf] A158631 18.6481 [-6*(4+15*x+4*x^2)/(x-1)/(24*x^2+21*x+1) lgdogf] A158631 6.28186 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23,a(1)=552,a(2)=2139} ogf] A158631 6.62667 [-(100*f(x)-35213)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+552*x^2-f(x)+483*x+23) ogf] A158632 12.0098 [-(47*x^2+44*x+1)/(x-1)^3 ogf] A158632 18.5517 [-(47+182*x+47*x^2)/(x-1)/(47*x^2+44*x+1) lgdogf] A158632 6.57930 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=47,a(2)=185} ogf] A158632 7.05267 [(527*f(x)-16367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+47*x^2-f(x)+44*x+1) ogf] A158633 10.9748 [23*(x^2-25*x-22)/(x-1)^3 ogf] A158633 20.2993 [-(-91-48*x+x^2)/(x-1)/(x^2-25*x-22) lgdogf] A158633 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=506,a(1)=2093,a(2)=4738} ogf] A158633 6.54184 [(5444*f(x)-4065319)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-23*x^2-f(x)+575*x+506) ogf] A158634 11.8071 [(x^2-48*x-45)/(x-1)^3 ogf] A158634 20.2613 [-(-183-94*x+x^2)/(x-1)/(x^2-48*x-45) lgdogf] A158634 6.35769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=45,a(1)=183,a(2)=413} ogf] A158634 6.88591 [(1359*f(x)-86635)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+48*x+45) ogf] A158636 10.9748 [24*(x^2-26*x-23)/(x-1)^3 ogf] A158636 20.2993 [-(-95-50*x+x^2)/(x-1)/(x^2-26*x-23) lgdogf] A158636 6.03617 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=552,a(1)=2280,a(2)=5160} ogf] A158636 6.7581 [(71*f(x)-57642)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-24*x^2-f(x)+624*x+552) ogf] A158637 11.2312 [-24*(25*x^2+22*x+1)/(x-1)^3 ogf] A158637 18.6481 [-(25+94*x+25*x^2)/(x-1)/(25*x^2+22*x+1) lgdogf] A158637 6.28186 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=600,a(2)=2328} ogf] A158637 6.84393 [(137*f(x)-52590)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+600*x^2-f(x)+528*x+24) ogf] A158638 12.0098 [-(49*x^2+46*x+1)/(x-1)^3 ogf] A158638 18.5517 [-(49+190*x+49*x^2)/(x-1)/(49*x^2+46*x+1) lgdogf] A158638 6.57930 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=49,a(2)=193} ogf] A158638 6.99389 [(1100*f(x)-35669)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+46*x+1) ogf] A158639 11.0799 [26*(x^2-28*x-25)/(x-1)^3 ogf] A158639 19.9280 [-(-103-54*x+x^2)/(x-1)/(x^2-28*x-25) lgdogf] A158639 6.09392 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=650,a(1)=2678,a(2)=6058} ogf] A158639 6.70602 [(769*f(x)-730730)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-26*x^2-f(x)+728*x+650) ogf] A158640 11.4331 [(x^2-54*x-51)/(x-1)^3 ogf] A158640 19.0798 [-(-207-106*x+x^2)/(x-1)/(x^2-54*x-51) lgdogf] A158640 6.15631 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=51,a(1)=207,a(2)=467} ogf] A158640 6.85949 [(3072*f(x)-220907)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+54*x+51) ogf] A158643 11.3372 [-26*(27*x^2+24*x+1)/(x-1)^3 ogf] A158643 18.8274 [-3*(9+34*x+9*x^2)/(x-1)/(27*x^2+24*x+1) lgdogf] A158643 6.34113 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=26,a(1)=702,a(2)=2730} ogf] A158643 6.79135 [-(11*f(x)-4966)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+702*x^2-f(x)+624*x+26) ogf] A158644 11.6352 [-(53*x^2+50*x+1)/(x-1)^3 ogf] A158644 17.9643 [-(53+206*x+53*x^2)/(x-1)/(53*x^2+50*x+1) lgdogf] A158644 6.37406 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=53,a(2)=209} ogf] A158644 7.02484 [(1192*f(x)-41917)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+53*x^2-f(x)+50*x+1) ogf] A158645 11.3902 [-27*(28*x^2+25*x+1)/(x-1)^3 ogf] A158645 18.4441 [-2*(2*x+7)*(7*x+2)/(x-1)/(28*x^2+25*x+1) lgdogf] A158645 6.37076 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27,a(1)=756,a(2)=2943} ogf] A158645 6.5134 [(2468*f(x)-1202661)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+756*x^2-f(x)+675*x+27) ogf] A158646 11.6352 [-(55*x^2+52*x+1)/(x-1)^3 ogf] A158646 17.9643 [-(55+214*x+55*x^2)/(x-1)/(55*x^2+52*x+1) lgdogf] A158646 6.37406 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=55,a(2)=217} ogf] A158646 7.08387 [(619*f(x)-22615)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+55*x^2-f(x)+52*x+1) ogf] A158655 11.1324 [27*(x^2-29*x-26)/(x-1)^3 ogf] A158655 20.0243 [-(-107-56*x+x^2)/(x-1)/(x^2-29*x-26) lgdogf] A158655 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=702,a(1)=2889,a(2)=6534} ogf] A158655 6.62717 [(6388*f(x)-6538131)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-27*x^2-f(x)+783*x+702) ogf] A158656 11.4331 [(x^2-56*x-53)/(x-1)^3 ogf] A158656 19.0798 [-(-215-110*x+x^2)/(x-1)/(x^2-56*x-53) lgdogf] A158656 6.15631 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=53,a(1)=215,a(2)=485} ogf] A158656 6.97477 [(319*f(x)-23807)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+56*x+53) ogf] A158657 11.1324 [28*(x^2-30*x-27)/(x-1)^3 ogf] A158657 20.0243 [-(-111-58*x+x^2)/(x-1)/(x^2-30*x-27) lgdogf] A158657 6.12281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=756,a(1)=3108,a(2)=7028} ogf] A158657 6.73493 [(414*f(x)-455189)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-28*x^2-f(x)+840*x+756) ogf] A158658 11.4331 [(x^2-58*x-55)/(x-1)^3 ogf] A158658 19.0798 [-(-223-114*x+x^2)/(x-1)/(x^2-58*x-55) lgdogf] A158658 6.15631 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=55,a(1)=223,a(2)=503} ogf] A158658 6.85949 [(3308*f(x)-255875)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+58*x+55) ogf] A158659 11.3902 [-28*(29*x^2+26*x+1)/(x-1)^3 ogf] A158659 18.4441 [-(29+110*x+29*x^2)/(x-1)/(29*x^2+26*x+1) lgdogf] A158659 6.37076 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=28,a(1)=812,a(2)=3164} ogf] A158659 6.67356 [(160*f(x)-83923)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+812*x^2-f(x)+728*x+28) ogf] A158660 11.6352 [-(57*x^2+54*x+1)/(x-1)^3 ogf] A158660 17.5262 [-3*(19+74*x+19*x^2)/(x-1)/(57*x^2+54*x+1) lgdogf] A158660 6.37406 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=57,a(2)=225} ogf] A158660 7.08387 [(428*f(x)-16223)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+57*x^2-f(x)+54*x+1) ogf] A158665 11.4431 [-29*(30*x^2+27*x+1)/(x-1)^3 ogf] A158665 19.0067 [-6*(5+19*x+5*x^2)/(x-1)/(30*x^2+27*x+1) lgdogf] A158665 6.40039 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=870,a(2)=3393} ogf] A158665 6.43882 [-(884*f(x)-497785)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+870*x^2-f(x)+783*x+29) ogf] A158666 11.6352 [-(59*x^2+56*x+1)/(x-1)^3 ogf] A158666 17.9643 [-(59+230*x+59*x^2)/(x-1)/(59*x^2+56*x+1) lgdogf] A158666 6.37406 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=59,a(2)=233} ogf] A158666 7.20496 [(95*f(x)-3731)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+59*x^2-f(x)+56*x+1) ogf] A158667 11.1849 [29*(x^2-31*x-28)/(x-1)^3 ogf] A158667 20.1205 [-(-115-60*x+x^2)/(x-1)/(x^2-31*x-28) lgdogf] A158667 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=812,a(1)=3335,a(2)=7540} ogf] A158667 6.79274 [(196*f(x)-230927)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-29*x^2-f(x)+899*x+812) ogf] A158668 11.4331 [(x^2-60*x-57)/(x-1)^3 ogf] A158668 19.0798 [-(-231-118*x+x^2)/(x-1)/(x^2-60*x-57) lgdogf] A158668 6.15631 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=57,a(1)=231,a(2)=521} ogf] A158668 6.85949 [(1713*f(x)-137161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+60*x+57) ogf] A158669 11.1849 [30*(x^2-32*x-29)/(x-1)^3 ogf] A158669 20.1205 [-(-119-62*x+x^2)/(x-1)/(x^2-32*x-29) lgdogf] A158669 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=870,a(1)=3570,a(2)=8070} ogf] A158669 6.76663 [(887*f(x)-1117290)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-30*x^2-f(x)+960*x+870) ogf] A158670 11.4900 [(x^2-62*x-59)/(x-1)^3 ogf] A158670 19.1767 [-(-239-122*x+x^2)/(x-1)/(x^2-62*x-59) lgdogf] A158670 6.18693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=59,a(1)=239,a(2)=539} ogf] A158670 6.88997 [(3544*f(x)-293411)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+62*x+59) ogf] A158672 11.4431 [-30*(31*x^2+28*x+1)/(x-1)^3 ogf] A158672 18.5315 [-(31+118*x+31*x^2)/(x-1)/(31*x^2+28*x+1) lgdogf] A158672 6.40039 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=930,a(2)=3630} ogf] A158672 6.78748 [(49*f(x)-29550)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+930*x^2-f(x)+840*x+30) ogf] A158673 11.6925 [-(61*x^2+58*x+1)/(x-1)^3 ogf] A158673 18.0546 [-(61+238*x+61*x^2)/(x-1)/(61*x^2+58*x+1) lgdogf] A158673 6.40546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=61,a(2)=241} ogf] A158673 7.05579 [(1376*f(x)-55925)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+61*x^2-f(x)+58*x+1) ogf] A158675 11.4431 [-31*(32*x^2+29*x+1)/(x-1)^3 ogf] A158675 18.0795 [-2*(16+61*x+16*x^2)/(x-1)/(32*x^2+29*x+1) lgdogf] A158675 6.40039 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=31,a(1)=992,a(2)=3875} ogf] A158675 6.59873 [(2836*f(x)-1827481)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+992*x^2-f(x)+899*x+31) ogf] A158676 11.6925 [-(63*x^2+60*x+1)/(x-1)^3 ogf] A158676 17.6142 [-3*(21+82*x+21*x^2)/(x-1)/(63*x^2+60*x+1) lgdogf] A158676 6.40546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=63,a(2)=249} ogf] A158676 7.2367 [(79*f(x)-3319)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+63*x^2-f(x)+60*x+1) ogf] A158677 13.9619 [-(3*x^5+6*x^4+5*x^3+4*x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A158677 8.24303 [-(4+3*x^10+12*x^9+15*x^8+20*x^6+18*x^5+15*x^4+15*x^2+24*x^3)/(x-1)/(x+1)/(x+1+x^2)/(x^2-x+1)/(3*x^5+6*x^4+5*x^3+4*x+3) lgdogf] A158678 4.46528 [3*x^3*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x^6+x^3+1)/(x^6-x^3+1) ogf] A158678 6.92493 [x^17-x^11-x^5+x^3 ogf_with_Euler_transform] A158679 11.0180 [31*(x^2-33*x-30)/(x-1)^3 ogf] A158679 20.1205 [-(-123-64*x+x^2)/(x-1)/(x^2-33*x-30) lgdogf] A158679 6.15169 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=930,a(1)=3813,a(2)=8618} ogf] A158679 6.68744 [(7332*f(x)-9852575)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-31*x^2-f(x)+1023*x+930) ogf] A158680 11.4900 [(x^2-64*x-61)/(x-1)^3 ogf] A158680 19.1767 [-(-247-126*x+x^2)/(x-1)/(x^2-64*x-61) lgdogf] A158680 6.18693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=61,a(1)=247,a(2)=557} ogf] A158680 6.88997 [(1831*f(x)-156571)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+64*x+61) ogf] A158681 11.2334 [-4*(-3+8*x)/(4*x-1)/(2*x-1) lgdogf] A158681 14.0210 [4/(4*x-1)^2/(2*x-1)^2 ogf] A158681 4.79426 [{(-n-3)*a(n+3)+(24+6*n)*a(n+2)+(-40-8*n)*a(n+1),a(0)=4,a(1)=48,a(2)=368} ogf] A158681 5.9449 [(257*f(x)+560)*(64*f(x)*x^4-96*f(x)*x^3+52*f(x)*x^2-12*f(x)*x+f(x)-4) ogf] A158683 11.1214 [32*(x^2-34*x-31)/(x-1)^3 ogf] A158683 20.3131 [-(-127-66*x+x^2)/(x-1)/(x^2-34*x-31) lgdogf] A158683 6.20945 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=992,a(1)=4064,a(2)=9184} ogf] A158683 6.56927 [(473*f(x)-676696)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-32*x^2-f(x)+1088*x+992) ogf] A158684 11.5469 [(x^2-66*x-63)/(x-1)^3 ogf] A158684 19.2735 [-(-255-130*x+x^2)/(x-1)/(x^2-66*x-63) lgdogf] A158684 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=63,a(1)=255,a(2)=575} ogf] A158684 7.12767 [(108*f(x)-9529)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+66*x+63) ogf] A158685 10.9145 [-32*(33*x^2+30*x+1)/(x-1)^3 ogf] A158685 17.4978 [-3*(11+42*x+11*x^2)/(x-1)/(33*x^2+30*x+1) lgdogf] A158685 6.14513 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32,a(1)=1056,a(2)=4128} ogf] A158685 6.63101 [-(61*f(x)-41912)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1056*x^2-f(x)+960*x+32) ogf] A158686 11.7498 [-(65*x^2+62*x+1)/(x-1)^3 ogf] A158686 18.1449 [-(65+254*x+65*x^2)/(x-1)/(65*x^2+62*x+1) lgdogf] A158686 6.43686 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=65,a(2)=257} ogf] A158686 7.11768 [(1468*f(x)-63685)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+65*x^2-f(x)+62*x+1) ogf] A158688 10.8050 [-33*(34*x^2+31*x+1)/(x-1)^3 ogf] A158688 17.5823 [-2*(17+65*x+17*x^2)/(x-1)/(34*x^2+31*x+1) lgdogf] A158688 6.17426 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=33,a(1)=1122,a(2)=4389} ogf] A158688 6.60679 [(3020*f(x)-2208063)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1122*x^2-f(x)+1023*x+33) ogf] A158689 11.7498 [-(67*x^2+64*x+1)/(x-1)^3 ogf] A158689 18.1449 [-(67+262*x+67*x^2)/(x-1)/(67*x^2+64*x+1) lgdogf] A158689 6.43686 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=67,a(2)=265} ogf] A158689 6.94377 [(757*f(x)-33877)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+67*x^2-f(x)+64*x+1) ogf] A158692 10.5545 [33*(x^2-35*x-32)/(x-1)^3 ogf] A158692 19.5547 [-(-131-68*x+x^2)/(x-1)/(x^2-35*x-32) lgdogf] A158692 5.93144 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1056,a(1)=4323,a(2)=9768} ogf] A158692 6.41908 [(7804*f(x)-11863929)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-33*x^2-f(x)+1155*x+1056) ogf] A158693 11.5469 [(x^2-68*x-65)/(x-1)^3 ogf] A158693 19.2735 [-(-263-134*x+x^2)/(x-1)/(x^2-68*x-65) lgdogf] A158693 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=65,a(1)=263,a(2)=593} ogf] A158693 6.98143 [(1949*f(x)-177265)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+68*x+65) ogf] A158696 4.75623 [{(2*n+4)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=1154} ogf] A158696 47.8272 [-34+2*x+f(x) lgdegf] A158699 7.11629 [x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(10*x^9-1) ogf] A158700 4.82385 [{(2*n+4)*a(n+1)+a(n+3)-36*a(n+2),a(0)=1,a(1)=36,a(2)=1294} ogf] A158700 48.5203 [-36+2*x+f(x) lgdegf] A158702 4.22720 [{(2*n+4)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=1442} ogf] A158702 42.4261 [-38+2*x+f(x) lgdegf] A158703 4.27124 [{(2*n+4)*a(n+1)+a(n+3)-40*a(n+2),a(0)=1,a(1)=40,a(2)=1598} ogf] A158703 42.8775 [-40+2*x+f(x) lgdegf] A158727 4.31527 [{(2*n+4)*a(n+1)+a(n+3)-42*a(n+2),a(0)=1,a(1)=42,a(2)=1762} ogf] A158727 43.3288 [-42+2*x+f(x) lgdegf] A158729 10.1536 [34*(x^2-36*x-33)/(x-1)^3 ogf] A158729 18.8011 [-(-135-70*x+x^2)/(x-1)/(x^2-36*x-33) lgdogf] A158729 5.65938 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1122,a(1)=4590,a(2)=10370} ogf] A158729 6.62956 [(201*f(x)-324122)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-34*x^2-f(x)+1224*x+1122) ogf] A158730 11.5469 [(x^2-70*x-67)/(x-1)^3 ogf] A158730 19.2735 [-(-271-138*x+x^2)/(x-1)/(x^2-70*x-67) lgdogf] A158730 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=67,a(1)=271,a(2)=611} ogf] A158730 6.98143 [(4016*f(x)-376187)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+70*x+67) ogf] A158731 10.4030 [-34*(35*x^2+32*x+1)/(x-1)^3 ogf] A158731 17.3416 [-(35+134*x+35*x^2)/(x-1)/(35*x^2+32*x+1) lgdogf] A158731 5.94455 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=34,a(1)=1190,a(2)=4658} ogf] A158731 6.4885 [(389*f(x)-302090)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1190*x^2-f(x)+1088*x+34) ogf] A158732 11.7498 [-(69*x^2+66*x+1)/(x-1)^3 ogf] A158732 17.7023 [-3*(23+90*x+23*x^2)/(x-1)/(69*x^2+66*x+1) lgdogf] A158732 6.43686 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=69,a(2)=273} ogf] A158732 6.94377 [(520*f(x)-23983)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+69*x^2-f(x)+66*x+1) ogf] A158733 10.4535 [-35*(36*x^2+33*x+1)/(x-1)^3 ogf] A158733 17.8744 [-6*(6+23*x+6*x^2)/(x-1)/(36*x^2+33*x+1) lgdogf] A158733 5.97341 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=35,a(1)=1260,a(2)=4935} ogf] A158733 6.31465 [-(356*f(x)-293125)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1260*x^2-f(x)+1155*x+35) ogf] A158734 11.8071 [-(71*x^2+68*x+1)/(x-1)^3 ogf] A158734 18.2351 [-(71+278*x+71*x^2)/(x-1)/(71*x^2+68*x+1) lgdogf] A158734 6.46826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=71,a(2)=281} ogf] A158734 7.00577 [(803*f(x)-38135)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+71*x^2-f(x)+68*x+1) ogf] A158735 10.2036 [35*(x^2-37*x-34)/(x-1)^3 ogf] A158735 18.8956 [-(-139-72*x+x^2)/(x-1)/(x^2-37*x-34) lgdogf] A158735 5.68725 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1190,a(1)=4865,a(2)=10990} ogf] A158735 6.50173 [(8276*f(x)-14131915)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-35*x^2-f(x)+1295*x+1190) ogf] A158736 11.6038 [(x^2-72*x-69)/(x-1)^3 ogf] A158736 19.3704 [-(-279-142*x+x^2)/(x-1)/(x^2-72*x-69) lgdogf] A158736 6.24819 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=69,a(1)=279,a(2)=629} ogf] A158736 7.04241 [(2067*f(x)-199243)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+72*x+69) ogf] A158737 10.3036 [36*(x^2-38*x-35)/(x-1)^3 ogf] A158737 19.0845 [-(-143-74*x+x^2)/(x-1)/(x^2-38*x-35) lgdogf] A158737 5.74301 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1260,a(1)=5148,a(2)=11628} ogf] A158737 6.76834 [(76*f(x)-137205)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-36*x^2-f(x)+1368*x+1260) ogf] A158738 11.6038 [(x^2-74*x-71)/(x-1)^3 ogf] A158738 19.3704 [-(-287-146*x+x^2)/(x-1)/(x^2-74*x-71) lgdogf] A158738 6.24819 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=71,a(1)=287,a(2)=647} ogf] A158738 7.04241 [(4252*f(x)-421427)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+74*x+71) ogf] A158739 10.5545 [-36*(37*x^2+34*x+1)/(x-1)^3 ogf] A158739 17.5992 [-(37+142*x+37*x^2)/(x-1)/(37*x^2+34*x+1) lgdogf] A158739 6.03113 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=1332,a(2)=5220} ogf] A158739 6.57314 [(206*f(x)-179541)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1332*x^2-f(x)+1224*x+36) ogf] A158740 11.8071 [-(73*x^2+70*x+1)/(x-1)^3 ogf] A158740 18.2351 [-(73+286*x+73*x^2)/(x-1)/(73*x^2+70*x+1) lgdogf] A158740 6.46826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=73,a(2)=289} ogf] A158740 7.00577 [(236*f(x)-11531)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+73*x^2-f(x)+70*x+1) ogf] A158741 10.5545 [-37*(38*x^2+35*x+1)/(x-1)^3 ogf] A158741 17.1700 [-2*(19+73*x+19*x^2)/(x-1)/(38*x^2+35*x+1) lgdogf] A158741 6.03113 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=37,a(1)=1406,a(2)=5513} ogf] A158741 6.57314 [(484*f(x)-445813)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1406*x^2-f(x)+1295*x+37) ogf] A158742 11.8071 [-(75*x^2+72*x+1)/(x-1)^3 ogf] A158742 17.7904 [-3*(25+98*x+25*x^2)/(x-1)/(75*x^2+72*x+1) lgdogf] A158742 6.46826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=75,a(2)=297} ogf] A158742 7.03677 [(283*f(x)-14215)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+75*x^2-f(x)+72*x+1) ogf] A158743 10.3036 [37*(x^2-39*x-36)/(x-1)^3 ogf] A158743 19.0845 [-(-147-76*x+x^2)/(x-1)/(x^2-39*x-36) lgdogf] A158743 5.74301 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1332,a(1)=5439,a(2)=12284} ogf] A158743 6.55683 [(8748*f(x)-16671941)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-37*x^2-f(x)+1443*x+1332) ogf] A158744 11.6038 [(x^2-76*x-73)/(x-1)^3 ogf] A158744 19.3704 [-(-295-150*x+x^2)/(x-1)/(x^2-76*x-73) lgdogf] A158744 6.24819 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=73,a(1)=295,a(2)=665} ogf] A158744 6.9269 [(437*f(x)-44501)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+76*x+73) ogf] A158745 9.20598 [-(4*x^8+2*x^6-5*x^5-x^4+3*x^2+2*x+1)/(2*x^3-1)/(x^6-x^3+1) ogf] A158749 14.0813 [9*x/(9*x-1)^2 ogf] A158749 21.6200 [4/9*x/(1+(4*x+1)^(1/2))^2 revogf] A158749 49.1363 [-18/(9*x-1) lgdogf] A158749 6.61651 [{a(n+2)-18*a(n+1)+81*a(n),a(0)=0,a(1)=9} ogf] A158749 9.0028 [-81*f(x)*x^2+18*f(x)*x-f(x)+9*x ogf] A158751 4.35930 [{(2*n+4)*a(n+1)+a(n+3)-44*a(n+2),a(0)=1,a(1)=44,a(2)=1934} ogf] A158751 43.7801 [-44+2*x+f(x) lgdegf] A158752 4.38132 [{(2*n+4)*a(n+1)+a(n+3)-46*a(n+2),a(0)=1,a(1)=46,a(2)=2114} ogf] A158752 44.0058 [-46+2*x+f(x) lgdegf] A158761 10.2036 [-(15*x^2+4*x+1)/(64*x^3+x^2-1) ogf] A158761 6.20634 [(33*f(x)-17)*(64*f(x)*x^3+f(x)*x^2+15*x^2-f(x)+4*x+1) ogf] A158761 6.27098 [{a(n+3)-a(n+1)-64*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A158761 9.35670 [-4*(1+8*x+49*x^2+128*x^3+240*x^4)/(15*x^2+4*x+1)/(64*x^3+x^2-1) lgdogf] A158762 5.76991 [(163*f(x)-82)*(729*f(x)*x^3+f(x)*x^2+80*x^2-f(x)+9*x+1) ogf] A158762 5.88888 [{a(n+3)-a(n+1)-729*a(n),a(0)=1,a(1)=9,a(2)=81} ogf] A158762 8.22711 [-9*(1+18*x+244*x^2+1458*x^3+6480*x^4)/(80*x^2+9*x+1)/(729*x^3+x^2-1) lgdogf] A158762 9.52035 [-(80*x^2+9*x+1)/(729*x^3+x^2-1) ogf] A158764 10.3536 [38*(x^2-40*x-37)/(x-1)^3 ogf] A158764 19.1790 [-(-151-78*x+x^2)/(x-1)/(x^2-40*x-37) lgdogf] A158764 5.77089 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1406,a(1)=5738,a(2)=12958} ogf] A158764 6.35979 [(1123*f(x)-2256098)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-38*x^2-f(x)+1520*x+1406) ogf] A158765 11.6038 [(x^2-78*x-75)/(x-1)^3 ogf] A158765 19.3704 [-(-303-154*x+x^2)/(x-1)/(x^2-78*x-75) lgdogf] A158765 6.24819 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=75,a(1)=303,a(2)=683} ogf] A158765 6.81241 [(4488*f(x)-469235)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+78*x+75) ogf] A158766 10.6050 [-38*(39*x^2+36*x+1)/(x-1)^3 ogf] A158766 17.2537 [-3*(13+50*x+13*x^2)/(x-1)/(39*x^2+36*x+1) lgdogf] A158766 6.05998 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=38,a(1)=1482,a(2)=5814} ogf] A158766 6.39665 [-(145*f(x)-140942)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1482*x^2-f(x)+1368*x+38) ogf] A158767 11.8071 [-(77*x^2+74*x+1)/(x-1)^3 ogf] A158767 18.2351 [-(77+302*x+77*x^2)/(x-1)/(77*x^2+74*x+1) lgdogf] A158767 6.46826 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=77,a(2)=305} ogf] A158767 6.97813 [(1744*f(x)-89989)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+77*x^2-f(x)+74*x+1) ogf] A158768 10.6555 [-39*(40*x^2+37*x+1)/(x-1)^3 ogf] A158768 17.3375 [-2*(20+77*x+20*x^2)/(x-1)/(40*x^2+37*x+1) lgdogf] A158768 6.08884 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=39,a(1)=1560,a(2)=6123} ogf] A158768 6.52516 [(3572*f(x)-3658785)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1560*x^2-f(x)+1443*x+39) ogf] A158769 11.8644 [-(79*x^2+76*x+1)/(x-1)^3 ogf] A158769 18.3254 [-(79+310*x+79*x^2)/(x-1)/(79*x^2+76*x+1) lgdogf] A158769 6.49965 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=79,a(2)=313} ogf] A158769 7.06777 [(895*f(x)-47407)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+79*x^2-f(x)+76*x+1) ogf] A158770 10.4037 [39*(x^2-41*x-38)/(x-1)^3 ogf] A158770 19.2735 [-(-155-80*x+x^2)/(x-1)/(x^2-41*x-38) lgdogf] A158770 5.79877 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1482,a(1)=6045,a(2)=13650} ogf] A158770 6.38732 [(1844*f(x)-3899883)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-39*x^2-f(x)+1599*x+1482) ogf] A158771 11.6607 [(x^2-80*x-77)/(x-1)^3 ogf] A158771 19.4672 [-(-311-158*x+x^2)/(x-1)/(x^2-80*x-77) lgdogf] A158771 6.27882 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=77,a(1)=311,a(2)=701} ogf] A158771 6.95769 [(329*f(x)-35293)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+80*x+77) ogf] A158772 10.0457 [{a(n+3)-2*a(n),a(0)=21,a(1)=21,a(2)=21} ogf] A158772 15.2618 [-21*(x^2+x+1)/(2*x^3-1) ogf] A158772 16.9254 [-(1+2*x+4*x^3+2*x^4+6*x^2)/(2*x^3-1)/(x^2+x+1) lgdogf] A158772 9.56161 [-(f(x)-21)*(2*f(x)*x^3+21*x^2-f(x)+21*x+21) ogf] A158773 10.4537 [40*(x^2-42*x-39)/(x-1)^3 ogf] A158773 19.3679 [-(-159-82*x+x^2)/(x-1)/(x^2-42*x-39) lgdogf] A158773 5.82665 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1560,a(1)=6360,a(2)=14360} ogf] A158773 6.46576 [(591*f(x)-1314110)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-40*x^2-f(x)+1680*x+1560) ogf] A158774 11.6607 [(x^2-82*x-79)/(x-1)^3 ogf] A158774 19.4672 [-(-319-162*x+x^2)/(x-1)/(x^2-82*x-79) lgdogf] A158774 6.27882 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=79,a(1)=319,a(2)=719} ogf] A158774 6.84269 [(4724*f(x)-519611)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+82*x+79) ogf] A158775 10.5037 [-40*(x^2+38*x+41)/(x-1)^3 ogf] A158775 20.0185 [-(161+78*x+x^2)/(x-1)/(x^2+38*x+41) lgdogf] A158775 5.85452 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1640,a(1)=6440,a(2)=14440} ogf] A158775 6.49351 [(589*f(x)-1254110)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+40*x^2-f(x)+1520*x+1640) ogf] A158776 11.8644 [-(81*x^2+78*x+1)/(x-1)^3 ogf] A158776 17.4528 [-3*(27+106*x+27*x^2)/(x-1)/(81*x^2+78*x+1) lgdogf] A158776 6.49965 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=81,a(2)=321} ogf] A158776 7.18859 [(68*f(x)-3695)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+81*x^2-f(x)+78*x+1) ogf] A158778 5.88278 [(8*f(x)-5)*(256*f(x)*x^4+48*x^3+f(x)*x+12*x^2-f(x)+3*x+1) ogf] A158778 6.95574 [-4*(1+6*x+33*x^2+232*x^3+576*x^4+1536*x^5+3072*x^6)/(48*x^3+12*x^2+3*x+1)/(256*x^4+x-1) lgdogf] A158778 9.50295 [-(48*x^3+12*x^2+3*x+1)/(256*x^4+x-1) ogf] A158779 5.54584 [-f(x)*(6561*f(x)*x^4+648*x^3+f(x)*x+72*x^2-f(x)+8*x+1) ogf] A158779 5.70861 [-9*(1+16*x+208*x^2+2772*x^3+17496*x^4+104976*x^5+472392*x^6)/(648*x^3+72*x^2+8*x+1)/(6561*x^4+x-1) lgdogf] A158779 8.52569 [-(648*x^3+72*x^2+8*x+1)/(6561*x^4+x-1) ogf] A158780 12.2618 [x*(x^2-x-1)/(2*x^2-1) ogf] A158780 19.3556 [(1+2*x+2*x^2)/(2*x^2-1)/(x^2-x-1) lgdogf] A158780 6.84079 [{a(n+4)-2*a(n+2),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A158780 8.22627 [(f(x)+1)*(2*f(x)*x^2-x^3+x^2-f(x)+x) ogf] A158783 4.46938 [{(2*n+4)*a(n+1)+a(n+3)-48*a(n+2),a(0)=1,a(1)=48,a(2)=2302} ogf] A158783 44.9085 [-48+2*x+f(x) lgdegf] A158784 10.3631 [-(14*x^2+4*x+1)/(64*x^3+2*x^2-1) ogf] A158784 6.36897 [(17*f(x)-9)*(64*f(x)*x^3+2*f(x)*x^2+14*x^2-f(x)+4*x+1) ogf] A158784 6.36897 [{a(n+3)-2*a(n+1)-64*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A158784 9.21352 [-4*(1+8*x+50*x^2+128*x^3+224*x^4)/(64*x^3+2*x^2-1)/(14*x^2+4*x+1) lgdogf] A158797 12.2434 [-(5*x+1)/(36*x^2+x-1) ogf] A158797 13.1242 [1/2/(5+36*x)*(-1-x+(1+22*x+145*x^2)^(1/2)) revogf] A158797 6.39997 [(85*f(x)-49)*(36*f(x)*x^2+f(x)*x-f(x)+5*x+1) ogf] A158797 6.78551 [{-a(n+2)+a(n+1)+36*a(n),a(0)=1,a(1)=6} ogf] A158798 15.1564 [-(7*x+1)/(64*x^2+x-1) ogf] A158798 7.83366 [(145*f(x)-81)*(64*f(x)*x^2+f(x)*x-f(x)+7*x+1) ogf] A158798 8.39994 [{-a(n+2)+a(n+1)+64*a(n),a(0)=1,a(1)=8} ogf] A158799 10.0059 [-(f(x)-1)*(f(x)*x+x^2-f(x)+x+1) ogf] A158799 17.5659 [-(x^2+x+1)/(x-1) ogf] A158799 27.5929 [(-2-2*x+x^2)/(x-1)/(x^2+x+1) lgdogf] A158799 31.5368 [[-x^2+2] ogf_with_Euler_transform] A158799 9.41031 [{-a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=3} ogf] A158803 13.1708 [(17*x^2+7*x+17)/(x+1)/(x-1)^2 ogf] A158803 15.6530 [-(24+92*x+17*x^3+31*x^2)/(x-1)/(x+1)/(17*x^2+7*x+17) lgdogf] A158803 6.74603 [-(305*f(x)+16551)*(f(x)*x^3-f(x)*x^2-f(x)*x-17*x^2+f(x)-7*x-17) ogf] A158803 7.21530 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=17,a(1)=24,a(2)=58} ogf] A158811 122.288 [2-18*x lgdegf] A158811 5.88775 [{(-18*n-36)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-14} ogf] A158842 12.2202 [-(x^3-3*x^2-1)/(x-1)^4 ogf] A158842 21.9190 [-(-4-6*x+x^3-3*x^2)/(-1+x)/(x^3-3*x^2-1) lgdogf] A158842 4.77044 [{(-3*n^2-19*n-26)*a(n+1)+(4*n^2+16*n+8)*a(n+2)+(-n^2-3*n)*a(n+3),a(0)=1,a(1)=4,a(2)=13,a(3)=31} ogf] A158842 6.46275 [(62*f(x)+121)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-6*x^2+f(x)+3*x-1) ogf] A158869 11.5169 [-(x-1)/(3*x^2-6*x+1) ogf] A158869 12.0542 [-1/2*(-1-6*x+(1+8*x+24*x^2)^(1/2))/(1+3*x) revogf] A158869 14.8905 [-(5-6*x+3*x^2)/(x-1)/(3*x^2-6*x+1) lgdogf] A158869 5.75846 [-(24*f(x)+1)*(3*f(x)*x^2-6*f(x)*x+f(x)+x-1) ogf] A158869 6.32026 [{a(n+2)-6*a(n+1)+3*a(n),a(0)=1,a(1)=5} ogf] A158874 10.5374 [24*x/(x-1)^6 ogf] A158874 58.6510 [[6] ogf_with_Euler_transform] A158874 7.39646 [{(n+1)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=24} ogf] A158874 94.8428 [-6/(x-1) lgdogf] A158876 13.0158 [(-n-3)*a(n+1)+a(n+2),a(0)=1,a(1)=2 lgdegf] A158879 10.7845 [(3*x^2+x-1)/(4*x-1)/(x-1)^2 ogf] A158879 13.1662 [-(5-19*x+12*x^3+20*x^2)/(x-1)/(4*x-1)/(3*x^2+x-1) lgdogf] A158879 5.67118 [(3897*f(x)+635)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-3*x^2-f(x)-x+1) ogf] A158879 5.82173 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A158903 122.288 [4-18*x lgdegf] A158903 5.96218 [{(-18*n-36)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-2} ogf] A158916 10.3375 [(9*x^3+7*x^2+4*x+1)/(2*x+1)/(x^2+x+1) ogf] A158916 11.3901 [(1+8*x+13*x^4+38*x^3+30*x^2)/(2*x+1)/(x^2+x+1)/(9*x^3+7*x^2+4*x+1) lgdogf] A158916 5.40370 [{-a(n+4)-3*a(n+3)-3*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A158916 6.2025 [-f(x)*(2*f(x)*x^3+3*f(x)*x^2-9*x^3+3*f(x)*x-7*x^2+f(x)-4*x-1) ogf] A158920 32.8783 [2*(1+x)/(2*x-1)/(x-1) lgdogf] A158920 4.78944 [{a(n+5)-6*a(n+4)+12*a(n+3)-8*a(n+2),a(0)=1,a(1)=2,a(2)=6,a(3)=16,a(4)=41} ogf] A158920 5.50037 [(5*f(x)-7)*(8*f(x)*x^3+x^4-12*f(x)*x^2-4*x^3+6*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A158920 9.02626 [-(x-1)^4/(2*x-1)^3 ogf] A158923 10.9276 [(x^30+x^15+x^8+x^4-x+2)/(x-1)^2 ogf] A158926 16.5502 [-9*x^3/(2*x+1)/(x^2+x+1) ogf] A158926 23.3443 [-3*(1+2*x+2*x^2)/(2*x+1)/(x^2+x+1) lgdogf] A158926 5.77331 [{a(n+4)+3*a(n+3)+3*a(n+2)+2*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=-9} ogf] A158926 7.52279 [-f(x)*(2*f(x)*x^3+3*f(x)*x^2+9*x^3+3*f(x)*x+f(x)) ogf] A158927 10.2398 [(9*x^3+14*x^2+8*x+2)/(2*x+1)/(x^2+x+1) ogf] A158927 11.2723 [-(-2-16*x+x^4-22*x^3-33*x^2)/(2*x+1)/(x^2+x+1)/(9*x^3+14*x^2+8*x+2) lgdogf] A158927 5.43019 [{-a(n+4)-3*a(n+3)-3*a(n+2)-2*a(n+1),a(0)=2,a(1)=2,a(2)=2,a(3)=-7} ogf] A158927 5.87528 [(5*f(x)-218)*(2*f(x)*x^3+3*f(x)*x^2-9*x^3+3*f(x)*x-14*x^2+f(x)-8*x-2) ogf] A158935 10.0463 [(9*x^3+19*x^2+16*x+4)/(2*x+1)/(x^2+x+1) ogf] A158935 10.6373 [-(-4-14*x+11*x^4+10*x^3-12*x^2)/(2*x+1)/(x^2+x+1)/(9*x^3+19*x^2+16*x+4) lgdogf] A158935 5.40370 [{a(n+4)+3*a(n+3)+3*a(n+2)+2*a(n+1),a(0)=4,a(1)=4,a(2)=-5,a(3)=4} ogf] A158935 5.7063 [-(1+4*f(x))*(2*f(x)*x^3+3*f(x)*x^2-9*x^3+3*f(x)*x-19*x^2+f(x)-16*x-4) ogf] A158938 7.47565 [(37*x^8+2*x^7+2*x^6+10*x^5+2*x^4+2*x^3+2*x^2+10*x-3)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A158943 17.8898 [1/(x^4-2*x^2-x+1) ogf] A158943 22.4805 [-(-1-4*x+4*x^3)/(-2*x^2+1-x+x^4) lgdogf] A158943 7.40892 [(5*f(x)+1)*(f(x)*x^4-2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A158953 18.0389 [4*(x+3)/(x-1)^2 ogf] A158953 27.1303 [-(-6-x+2*(9+4*x)^(1/2))/(-4+x) revogf] A158953 45.2172 [-(7+x)/(x+3)/(x-1) lgdogf] A158953 9.53783 [(2*f(x)+25)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-12) ogf] A158953 9.87846 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=28} ogf] A158954 114.368 [1-8*x lgdegf] A158954 5.58466 [{(-8*n-16)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-7} ogf] A158958 115.399 [3-8*x lgdegf] A158958 5.66258 [{(8*n+16)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=1} ogf] A158960 100.681 [2-50*x lgdegf] A158960 4.85677 [{(-50*n-100)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-46} ogf] A158961 4.80939 [{(-50*n-100)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-34} ogf] A158961 50.0997 [-4+50*x+f(x) lgdegf] A158965 5.52686 [{(-50*n-100)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-14} ogf] A158965 57.4166 [-6+50*x+f(x) lgdegf] A158967 100.681 [8-50*x lgdegf] A158967 4.83307 [{(-50*n-100)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=14} ogf] A158968 122.796 [1-18*x lgdegf] A158968 5.93807 [{(-18*n-36)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-17} ogf] A158969 122.288 [5-18*x lgdegf] A158969 6.01292 [{(18*n+36)*a(n+1)+a(n+3)-5*a(n+2),a(0)=1,a(1)=5,a(2)=7} ogf] A158980 5.37798 [{(-98*n-196)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-94} ogf] A158980 55.6396 [-2+98*x+f(x) lgdegf] A158981 5.33060 [{(-98*n-196)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-82} ogf] A158981 55.3988 [-4+98*x+f(x) lgdegf] A158987 5.33060 [{(98*n+196)*a(n+1)+a(n+3)-6*a(n+2),a(0)=1,a(1)=6,a(2)=-62} ogf] A158987 55.3988 [-6+98*x+f(x) lgdegf] A158991 5.35430 [{(-98*n-196)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-34} ogf] A158991 55.6396 [-8+98*x+f(x) lgdegf] A159005 4.72202 [{(98*n+196)*a(n+1)+a(n+3)-10*a(n+2),a(0)=1,a(1)=10,a(2)=2} ogf] A159005 45.3314 [-10+98*x+f(x) lgdegf] A159007 13.0883 [(32*x^2+9*x+32)/(x+1)/(x-1)^2 ogf] A159007 15.2657 [-(41+169*x+50*x^2+32*x^3)/(x-1)/(x+1)/(32*x^2+9*x+32) lgdogf] A159007 6.59653 [-(2737*f(x)+236665)*(f(x)*x^3-f(x)*x^2-f(x)*x-32*x^2+f(x)-9*x-32) ogf] A159007 7.10833 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=32,a(1)=41,a(2)=105} ogf] A159008 12.8739 [(25*x^2+39*x+25)/(x+1)/(x-1)^2 ogf] A159008 14.7006 [-(64+164*x+103*x^2+25*x^3)/(x-1)/(x+1)/(25*x^2+39*x+25) lgdogf] A159008 6.8661 [(427*f(x)-10747)*(f(x)*x^3-f(x)*x^2-f(x)*x-25*x^2+f(x)-39*x-25) ogf] A159008 7.10286 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=25,a(1)=64,a(2)=114} ogf] A159013 4.63824 [{(-98*n-196)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=46} ogf] A159013 44.6775 [-12+98*x+f(x) lgdegf] A159014 5.13452 [{(-32*n-64)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-31} ogf] A159014 52.9999 [-1+32*x+f(x) lgdegf] A159017 5.13452 [{(-32*n-64)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=-23} ogf] A159017 52.7546 [-3+32*x+f(x) lgdegf] A159019 5.22638 [{(32*n+64)*a(n+1)+a(n+3)-5*a(n+2),a(0)=1,a(1)=5,a(2)=-7} ogf] A159019 53.7360 [-5+32*x+f(x) lgdegf] A159026 7.76011 [(-98-18*x-81*x^4+16*x^3+16*x^21-17*x^20+175*x^2+19*x^18-18*x^19)/(x-1)/(x+1)/(x^20-x^19+81*x^3-89*x^2-80*x+89) lgdogf] A159026 9.55488 [-(x^20-x^19+81*x^3-89*x^2-80*x+89)/(x+1)/(x-1)^3 ogf] A159027 10.7127 [-(x^22-x^21+100*x^3-109*x^2-99*x+109)/(x+1)/(x-1)^3 ogf] A159027 8.61519 [(-119-20*x+21*x^20-20*x^21-19*x^22+18*x^23+215*x^2+18*x^3-100*x^4)/(x-1)/(x+1)/(x^22-x^21+100*x^3-109*x^2-99*x+109) lgdogf] A159028 5.18319 [{(32*n+64)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=17} ogf] A159028 53.2453 [-7+32*x+f(x) lgdegf] A159030 4.91242 [{(-162*n-324)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-158} ogf] A159030 47.7287 [-2+162*x+f(x) lgdegf] A159035 11.2605 [-(x-1)*(4*x^2-3*x+1)/(2*x^3-4*x^2+4*x-1)/(x^3-2*x^2+3*x-1) lgdogf] A159035 5.04879 [{a(n+4)-4*a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A159035 5.60034 [(f(x)+3)*(2*f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A159035 9.65855 [(x^3-2*x^2+3*x-1)/(2*x^3-4*x^2+4*x-1) ogf] A159036 12.3350 [-x*(x^2+1)/(2*x^3-4*x^2+4*x-1) ogf] A159036 15.0673 [-2*(2-3*x+x^4+x^2)/(1+x^2)/(2*x^3-4*x^2+4*x-1) lgdogf] A159036 5.32647 [{a(n+4)-4*a(n+3)+4*a(n+2)-2*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=13} ogf] A159036 7.10197 [f(x)*(2*f(x)*x^3-4*f(x)*x^2+x^3+4*f(x)*x-f(x)+x) ogf] A159038 16.5067 [8/(x-1)^2 egf] A159038 6.12046 [{(-n-3)*a(n+1)+a(n+2),a(0)=8,a(1)=16} ogf] A159038 66.6180 [-2/(x-1) lgdegf] A159038 76.1348 [x/(8+x) revegf] A159038 9.23256 [-f(x)*x^2+2*f(x)*x-f(x)+8 egf] A159058 10.8957 [-x*(x^6+2*x^5+7*x^4+4*x^3+5*x^2+6*x+3)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A159075 22.0557 [-x-f(x) ogf] A159075 9.57136 [{-a(n+2),a(0)=0,a(1)=-1} ogf] A159083 3.62159 [{(-5+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=5040} ogf] A159083 6.69800 [5040*x^7/(x-1)^8 ogf] A159083 79.1002 [-8/(x-1) lgdogf] A159197 4.95812 [{(-162*n-324)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-146} ogf] A159197 48.1646 [-4+162*x+f(x) lgdegf] A159217 4.34213 [(1207*f(x)+22773)*(4*f(x)*x^4-6*f(x)*x^3+2*x^3+3*f(x)*x-7*x^2-f(x)-x+3) ogf] A159217 6.20844 [-(8-14*x+8*x^6-56*x^5+30*x^4+48*x^3-27*x^2)/(-1+x)/(2*x-1)/(2*x^2-1)/(2*x^3-7*x^2-x+3) lgdogf] A159217 7.92912 [-(2*x^3-7*x^2-x+3)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A159219 4.45845 [(12577*f(x)+2143972)*(4*f(x)*x^4-6*f(x)*x^3+24*x^3+3*f(x)*x-68*x^2-f(x)-12*x+30) ogf] A159219 6.04106 [-(39-68*x+240*x^3-132*x^2+132*x^4-272*x^5+48*x^6)/(x-1)/(2*x-1)/(2*x^2-1)/(12*x^3-34*x^2-6*x+15) lgdogf] A159219 8.12293 [-2*(12*x^3-34*x^2-6*x+15)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A159221 4.54774 [(16511*f(x)+788772)*(4*f(x)*x^4-6*f(x)*x^3+8*x^3+3*f(x)*x-20*x^2-f(x)-4*x+9) ogf] A159221 6.23344 [-(23-40*x+32*x^6-160*x^5+72*x^4+144*x^3-78*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(8*x^3-20*x^2-4*x+9) lgdogf] A159221 8.38086 [-(8*x^3-20*x^2-4*x+9)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A159222 4.21785 [(16003*f(x)+721129)*(4*f(x)*x^4-6*f(x)*x^3+2*x^3+3*f(x)*x-15*x^2-f(x)-x+7) ogf] A159222 5.96708 [-(20-30*x+78*x^4+112*x^3+8*x^6-120*x^5-75*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(2*x^3-15*x^2-x+7) lgdogf] A159222 7.77290 [-(2*x^3-15*x^2-x+7)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A159225 5.40904 [-(12*x^4-20*x^3-13*x^2+17*x+7)/(2*x-1)/(2*x+1)/(x-1)/(2*x^2-1) ogf] A159227 5.73561 [-(8*x^4-32*x^3-19*x^2+15*x+7)/(2*x-1)/(2*x+1)/(x-1)/(2*x^2-1) ogf] A159229 2.03467 [-(8575*f(x)-433131)*(16*f(x)*x^4-24*f(x)*x^3+6*f(x)*x^2-4*x^3+3*f(x)*x-22*x^2-f(x)+2*x+3) ogf] A159229 3.86588 [(4*x^3+22*x^2-2*x-3)/(x-1)/(2*x-1)/(8*x^2-1) ogf] A159230 4.36698 [(f(x)+23)*(4*f(x)*x^4-6*f(x)*x^3+2*x^3+3*f(x)*x-5*x^2-f(x)-x+2) ogf] A159230 5.94018 [-(5-10*x+8*x^6-40*x^5+18*x^4+32*x^3-15*x^2)/(-1+x)/(2*x-1)/(2*x^2-1)/(2*x^3-5*x^2-x+2) lgdogf] A159230 7.59477 [-(2*x^3-5*x^2-x+2)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A159232 4.97539 [{(-162*n-324)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-98} ogf] A159232 47.9466 [-8+162*x+f(x) lgdegf] A159240 4.94112 [{(162*n+324)*a(n+1)+a(n+3)-10*a(n+2),a(0)=1,a(1)=10,a(2)=-62} ogf] A159240 45.1290 [-10+162*x+f(x) lgdegf] A159242 4.91846 [{(162*n+324)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=34} ogf] A159242 44.7242 [-14+162*x+f(x) lgdegf] A159245 4.89578 [{(-162*n-324)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=94} ogf] A159245 44.3195 [-16+162*x+f(x) lgdegf] A159247 100.681 [1-50*x lgdegf] A159247 4.85677 [{(-50*n-100)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-49} ogf] A159249 5.45445 [{(-50*n-100)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=-41} ogf] A159249 56.4351 [-3+50*x+f(x) lgdegf] A159252 101.645 [7-50*x lgdegf] A159252 4.92079 [{(50*n+100)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-1} ogf] A159254 13.5077 [(7*x^2+36*x+7)/(x+1)/(x-1)^2 ogf] A159254 16.4350 [-(43+71*x+79*x^2+7*x^3)/(x-1)/(x+1)/(7*x^2+36*x+7) lgdogf] A159254 7.21965 [(29*f(x)+2332)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-36*x-7) ogf] A159254 7.34632 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=43,a(2)=57} ogf] A159256 8.43911 [-(x^24-x^23+121*x^3-131*x^2-120*x+131)/(x+1)/(x-1)^3 ogf] A159277 10.0357 [-32*f(x)*x^2-4*f(x)*x+f(x)-8*x ogf] A159277 15.8458 [-8*x/(4*x+1)/(8*x-1) ogf] A159277 17.9744 [1/16*(-2-x+(4+4*x+9*x^2)^(1/2))/x revogf] A159277 21.9687 [-4*(1+16*x)/(4*x+1)/(8*x-1) lgdogf] A159277 7.34320 [{-a(n+2)+4*a(n+1)+32*a(n),a(0)=0,a(1)=8} ogf] A159279 101.163 [9-50*x lgdegf] A159279 4.88046 [{(50*n+100)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=31} ogf] A159280 5.23230 [{(-242*n-484)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-238} ogf] A159280 50.7798 [-2+242*x+f(x) lgdegf] A159281 5.25515 [{(-242*n-484)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-226} ogf] A159281 50.9978 [-4+242*x+f(x) lgdegf] A159283 10.8094 [158663322*x^5+3616*x^3+1 ogf_with_Euler_transform] A159284 13.3635 [-(x+1)*x/(2*x^3+x^2-1) ogf] A159284 17.4300 [-(1+2*x+7*x^2+4*x^3)/(x+1)/(2*x^3+x^2-1) lgdogf] A159284 7.61575 [-(f(x)+1)*(2*f(x)*x^3+f(x)*x^2+x^2-f(x)+x) ogf] A159284 7.61575 [{a(n+3)-a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A159285 15.5836 [-(3*x+1)/(2*x^3+x^2-1) ogf] A159285 17.4149 [-(3+2*x+12*x^3+9*x^2)/(1+3*x)/(2*x^3+x^2-1) lgdogf] A159285 8.12338 [{-a(n+3)+a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=1} ogf] A159285 8.29998 [-(13*f(x)-300)*(2*f(x)*x^3+f(x)*x^2-f(x)+3*x+1) ogf] A159286 10.3548 [-(x-1)^2/(2*x^3+x^2-1) ogf] A159286 15.8234 [-2*(1-x+x^3-3*x^2)/(x-1)/(2*x^3+x^2-1) lgdogf] A159286 6.08475 [-(2*f(x)-1)*(2*f(x)*x^3+f(x)*x^2+x^2-f(x)-2*x+1) ogf] A159286 6.27895 [{-a(n+3)+a(n+1)+2*a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A159287 12.5539 [-2*f(x)*x^3-f(x)*x^2-x^2+f(x) ogf] A159287 19.2901 [-x^2/(2*x^3+x^2-1) ogf] A159287 29.1523 [-2*x*(3*x+1)/(-1+x^2+2*x^3) lgdogf] A159287 8.59670 [{-a(n+3)+a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A159288 13.2023 [-(x^2+x+1)/(2*x^3+x^2-1) ogf] A159288 14.7555 [-(1+4*x+2*x^4+7*x^2+4*x^3)/(x^2+x+1)/(2*x^3+x^2-1) lgdogf] A159288 7.75806 [-(3*f(x)-2)*(2*f(x)*x^3+f(x)*x^2+x^2-f(x)+x+1) ogf] A159288 8.00566 [{a(n+3)-a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A159289 13.8066 [-(4*x-5)/(2*x^2-5*x+1) ogf] A159289 14.4984 [-1/4*(-5-5*x+(25+34*x+17*x^2)^(1/2))/(x+2) revogf] A159289 16.0246 [-(21-20*x+8*x^2)/(4*x-5)/(2*x^2-5*x+1) lgdogf] A159289 6.82747 [-(85*f(x)+16)*(2*f(x)*x^2-5*f(x)*x+f(x)+4*x-5) ogf] A159289 7.48553 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=5,a(1)=21} ogf] A159290 13.3472 [-(x-3)/(x-1)/(2*x-1)/(x+1) ogf] A159290 14.7589 [-(5+6*x-19*x^2+4*x^3)/(x-1)/(x-3)/(2*x-1)/(x+1) lgdogf] A159290 6.26019 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=3,a(1)=5,a(2)=13} ogf] A159290 6.37299 [-(182*f(x)+587)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+x-3) ogf] A159294 3.87033 [-(63*x^7-173*x^6+15*x^5+335*x^4-228*x^3-157*x^2+150*x+1)/(x+1)^2/(x-1)^5 ogf] A159307 5.18660 [{(-242*n-484)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-206} ogf] A159307 50.3440 [-6+242*x+f(x) lgdegf] A159324 3.63921 [{(-n^4-11*n^3-42*n^2-68*n-40)*a(n+1)+(2*n^3+17*n^2+43*n+32)*a(n+2)+(-n^2-5*n-4)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A159326 5.16375 [{(-242*n-484)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-178} ogf] A159326 50.1260 [-8+242*x+f(x) lgdegf] A159327 47.1527 [-10+242*x+f(x) lgdegf] A159327 5.14925 [{(-242*n-484)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-142} ogf] A159328 11.2611 [-2*(x^2-x+1)/(x^3-2*x^2+3*x-1) ogf] A159328 12.9512 [-(2-2*x+x^4+2*x^2-2*x^3)/(x^2-x+1)/(x^3-2*x^2+3*x-1) lgdogf] A159328 6.07902 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=10} ogf] A159328 6.18854 [(7*f(x)-4)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-2*x+2) ogf] A159329 4.95334 [-(6315*f(x)+18566)*(f(x)*x^3-x^4-2*f(x)*x^2+2*x^3+3*f(x)*x+x^2-f(x)-2*x+2) ogf] A159329 8.59093 [(4-6*x+x^6-4*x^5+14*x^4+13*x^2-20*x^3)/(x^3-2*x^2+3*x-1)/(x^4-2*x^3-x^2+2*x-2) lgdogf] A159329 8.87743 [(x^4-2*x^3-x^2+2*x-2)/(x^3-2*x^2+3*x-1) ogf] A159330 6.63458 [(-4+6*x+3*x^8-12*x^7+27*x^6-30*x^5+5*x^4-13*x^2+16*x^3)/(x^6-2*x^5+2*x^3+x^2-2*x+2)/(x^3-2*x^2+3*x-1) lgdogf] A159330 8.04191 [-(x^6-2*x^5+2*x^3+x^2-2*x+2)/(x^3-2*x^2+3*x-1) ogf] A159331 6.76794 [-(x^8-2*x^7+2*x^6-2*x^5+2*x^3+x^2-2*x+2)/(x^3-2*x^2+3*x-1) ogf] A159333 3.25224 [{n^2*a(n+1)-n*a(n+2)+(-n^2-6*n-8)*a(n+3)+(n+4)*a(n+4),a(0)=-1,a(1)=1,a(2)=1,a(3)=1} ogf] A159334 7.44547 [-(4-6*x+x^8+5*x^6-14*x^5+25*x^4+21*x^2-28*x^3)/(x^2+1)/(x^3-2*x^2+3*x-1)/(x^4+3*x^2-2*x+2) lgdogf] A159334 8.04191 [-(x^4+3*x^2-2*x+2)/(x^2+1)/(x^3-2*x^2+3*x-1) ogf] A159336 10.2036 [(x^4-2*x^3+x-1)/(x^3-2*x^2+3*x-1) ogf] A159336 5.10180 [{-a(n+3)+3*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=11,a(4)=26} ogf] A159336 5.50037 [-(802*f(x)+1771)*(f(x)*x^3-x^4-2*f(x)*x^2+2*x^3+3*f(x)*x-f(x)-x+1) ogf] A159336 9.58949 [(2-4*x-4*x^5+13*x^4-18*x^3+x^6+11*x^2)/(x^3-2*x^2+3*x-1)/(x^4-2*x^3+x-1) lgdogf] A159337 7.26783 [(-2+4*x-30*x^5+6*x^4+14*x^3+27*x^6-12*x^7+3*x^8-11*x^2)/(x^3-2*x^2+3*x-1)/(x^6-2*x^5+2*x^3-x+1) lgdogf] A159337 9.14348 [-(x^6-2*x^5+2*x^3-x+1)/(x^3-2*x^2+3*x-1) ogf] A159338 6.05652 [(2-4*x+24*x^5-6*x^4-14*x^3+5*x^10+2*x^6-40*x^7+41*x^8+11*x^2-20*x^9)/(x^3-2*x^2+3*x-1)/(x^8-2*x^7+2*x^5-2*x^3+x-1) lgdogf] A159338 8.28292 [(x^8-2*x^7+2*x^5-2*x^3+x-1)/(x^3-2*x^2+3*x-1) ogf] A159339 8.12287 [-(2-4*x-8*x^5+18*x^4-22*x^3+x^6+2*x^7+15*x^2)/(x^2+1)/(x^3+x^2-x+1)/(x^3-2*x^2+3*x-1) lgdogf] A159339 8.28292 [-(x^3+x^2-x+1)/(x^2+1)/(x^3-2*x^2+3*x-1) ogf] A159340 4.91543 [{-a(n+5)+3*a(n+4)-2*a(n+3)+a(n+2),a(0)=2,a(1)=3,a(2)=6,a(3)=16,a(4)=38} ogf] A159340 5.31595 [-(152*f(x)+603)*(f(x)*x^3-x^4-2*f(x)*x^2+2*x^3+3*f(x)*x+x^2-f(x)-3*x+2) ogf] A159340 9.32017 [(x-2)*(x^3-x+1)/(x^3-2*x^2+3*x-1) ogf] A159340 9.77845 [(3-6*x-4*x^5+14*x^4-22*x^3+x^6+15*x^2)/(x-2)/(x^3-x+1)/(x^3-2*x^2+3*x-1) lgdogf] A159341 6.97078 [(-3+6*x-30*x^5+5*x^4+18*x^3-12*x^7+27*x^6+3*x^8-15*x^2)/(x^6-2*x^5+2*x^3+x^2-3*x+2)/(x^3-2*x^2+3*x-1) lgdogf] A159341 8.44298 [-(x^6-2*x^5+2*x^3+x^2-3*x+2)/(x^3-2*x^2+3*x-1) ogf] A159342 5.50038 [(-3+6*x-36*x^5+5*x^4+18*x^3-64*x^7+56*x^6+5*x^10-20*x^9+47*x^8-15*x^2)/(x^3-2*x^2+3*x-1)/(x^8-2*x^7+2*x^6-2*x^5+2*x^3+x^2-3*x+2) lgdogf] A159342 7.10548 [-(x^8-2*x^7+2*x^6-2*x^5+2*x^3+x^2-3*x+2)/(x^3-2*x^2+3*x-1) ogf] A159343 7.04048 [-(3-6*x-18*x^5+28*x^4-30*x^3-2*x^7+7*x^6+x^8+21*x^2)/(x^2+1)/(x^3-2*x^2+3*x-1)/(x^4-x^3+3*x^2-3*x+2) lgdogf] A159343 7.71670 [-(x^4-x^3+3*x^2-3*x+2)/(x^2+1)/(x^3-2*x^2+3*x-1) ogf] A159347 10.3517 [(x+1)*(x-1)^3/(x^3-2*x^2+3*x-1) ogf] A159347 13.2176 [(1-2*x+x^4+8*x^2-2*x^3)/(x-1)/(x+1)/(x^3-2*x^2+3*x-1) lgdogf] A159347 4.92600 [{a(n+5)-3*a(n+4)+2*a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=1,a(3)=4,a(4)=10} ogf] A159347 5.6688 [-(27*f(x)+100)*(f(x)*x^3-x^4-2*f(x)*x^2+2*x^3+3*f(x)*x-f(x)-2*x+1) ogf] A159348 8.54310 [(1-3*x+3*x^7-9*x^6+18*x^5-12*x^4+10*x^2-6*x^3)/(x-1)/(x^3-2*x^2+3*x-1)/(x^4-x^2+1) lgdogf] A159348 9.27623 [-(x^4-x^2+1)*(x-1)^2/(x^3-2*x^2+3*x-1) ogf] A159349 6.93598 [(1-3*x+5*x^9-15*x^8+32*x^7-32*x^6+24*x^5-12*x^4+10*x^2-6*x^3)/(x-1)/(x^3-2*x^2+3*x-1)/(x^6+x^4-x^2+1) lgdogf] A159349 7.68032 [-(x^6+x^4-x^2+1)*(x-1)^2/(x^3-2*x^2+3*x-1) ogf] A159350 10.4557 [-(-1+3*x+3*x^5-9*x^4-12*x^2+12*x^3)/(x-1)/(x^2+1)/(x^3-2*x^2+3*x-1) lgdogf] A159350 9.27623 [-(x-1)^2/(x^2+1)/(x^3-2*x^2+3*x-1) ogf] A159355 3.78078 [-(x^8-9*x^7+37*x^6-88*x^5+252*x^4+591*x^3+801*x^2+90*x+5)/(x-1)^9 ogf] A159356 3.30926 [-(x^8-21*x^7-499*x^6+608*x^5+22972*x^4+36231*x^3+12673*x^2+686*x+9)/(x-1)^9 ogf] A159357 3.21417 [-(17*x^8+71*x^7-2899*x^6-11016*x^5+220332*x^4+345015*x^3+91881*x^2+3106*x+13)/(x-1)^9 ogf] A159358 4.58524 [-(60*x^9-395*x^8+1899*x^7-8731*x^6-75688*x^5+911268*x^4+1543903*x^3+388569*x^2+10674*x+21)/(x-1)^9 ogf] A159449 46.9503 [-12+242*x+f(x) lgdegf] A159449 5.14511 [{(-242*n-484)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-98} ogf] A159450 46.9503 [-14+242*x+f(x) lgdegf] A159450 5.14511 [{(242*n+484)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=-46} ogf] A159454 47.1527 [-16+242*x+f(x) lgdegf] A159454 5.19044 [{(-242*n-484)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=14} ogf] A159460 46.3432 [-18+242*x+f(x) lgdegf] A159460 5.12244 [{(242*n+484)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=82} ogf] A159466 7.82642 [-(x-1)*(113*x^4+240*x^3+385*x^2+240*x+113)/(x^6-6*x^3+1) ogf] A159469 12.0762 [-2*(x+3)/(x+1)^2/(x-1)^3 ogf] A159469 25.5504 [-4*(1+4*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A159469 4.16630 [{(-3*n-12)*a(n+4)+(1-n)*a(n+3)+(22+3*n)*a(n+2)+(5+n)*a(n+1),a(0)=6,a(1)=8,a(2)=20,a(3)=24} ogf] A159470 47.3551 [-20+242*x+f(x) lgdegf] A159470 5.19422 [{(-242*n-484)*a(n+1)-a(n+3)+20*a(n+2),a(0)=1,a(1)=20,a(2)=158} ogf] A159472 5.16476 [{(-72*n-144)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-71} ogf] A159472 53.4718 [-1+72*x+f(x) lgdegf] A159476 14.2448 [(-n-2)*a(n+1)+a(n+2),a(0)=1,a(1)=1 lgdegf] A159480 5.06999 [{(72*n+144)*a(n+1)+a(n+3)-5*a(n+2),a(0)=1,a(1)=5,a(2)=-47} ogf] A159480 52.7493 [-5+72*x+f(x) lgdegf] A159485 5.16476 [{(72*n+144)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-23} ogf] A159485 53.7127 [-7+72*x+f(x) lgdegf] A159486 49.3586 [-11+72*x+f(x) lgdegf] A159486 5.08146 [{(72*n+144)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=49} ogf] A159488 5.41509 [{(-338*n-676)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-334} ogf] A159488 52.5234 [-2+338*x+f(x) lgdegf] A159492 5.46078 [{(-338*n-676)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-322} ogf] A159492 52.9592 [-4+338*x+f(x) lgdegf] A159494 5.39224 [{(-338*n-676)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-302} ogf] A159494 52.3054 [-6+338*x+f(x) lgdegf] A159496 5.36939 [{(-338*n-676)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-274} ogf] A159496 52.0875 [-8+338*x+f(x) lgdegf] A159497 48.9741 [-10+338*x+f(x) lgdegf] A159497 5.32913 [{(-338*n-676)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-238} ogf] A159498 49.1764 [-12+338*x+f(x) lgdegf] A159498 5.37410 [{(-338*n-676)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-194} ogf] A159500 49.3788 [-14+338*x+f(x) lgdegf] A159500 5.37410 [{(338*n+676)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=-142} ogf] A159501 49.3788 [-16+338*x+f(x) lgdegf] A159501 5.41710 [{(-338*n-676)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-82} ogf] A159502 49.3788 [-18+338*x+f(x) lgdegf] A159502 5.43976 [{(338*n+676)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=-14} ogf] A159504 49.5812 [-20+338*x+f(x) lgdegf] A159504 5.46243 [{(338*n+676)*a(n+1)+a(n+3)-20*a(n+2),a(0)=1,a(1)=20,a(2)=62} ogf] A159505 48.9741 [-22+338*x+f(x) lgdegf] A159505 5.39659 [{(338*n+676)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=146} ogf] A159506 49.3788 [-24+338*x+f(x) lgdegf] A159506 5.41908 [{(-338*n-676)*a(n+1)-a(n+3)+24*a(n+2),a(0)=1,a(1)=24,a(2)=238} ogf] A159507 5.33060 [{(-98*n-196)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-97} ogf] A159507 55.1579 [-1+98*x+f(x) lgdegf] A159508 5.35430 [{(98*n+196)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=-89} ogf] A159508 55.3988 [-3+98*x+f(x) lgdegf] A159509 5.33060 [{(-98*n-196)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=-73} ogf] A159509 55.1579 [-5+98*x+f(x) lgdegf] A159510 4.76072 [{(98*n+196)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-17} ogf] A159510 49.5812 [-9+98*x+f(x) lgdegf] A159511 4.66109 [{(98*n+196)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=23} ogf] A159511 45.3314 [-11+98*x+f(x) lgdegf] A159512 4.66109 [{(98*n+196)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=71} ogf] A159512 45.1134 [-13+98*x+f(x) lgdegf] A159513 100.781 [2-450*x lgdegf] A159513 5.59787 [{(-450*n-900)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-446} ogf] A159514 101.591 [4-450*x lgdegf] A159514 5.64357 [{(-450*n-900)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-434} ogf] A159515 100.781 [8-450*x lgdegf] A159515 5.59787 [{(-450*n-900)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-386} ogf] A159516 4.84103 [{(450*n+900)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=-254} ogf] A159516 44.1634 [-14+450*x+f(x) lgdegf] A159517 4.77502 [{(-450*n-900)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-194} ogf] A159517 43.7673 [-16+450*x+f(x) lgdegf] A159518 4.83540 [{(450*n+900)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=34} ogf] A159518 43.7673 [-22+450*x+f(x) lgdegf] A159519 4.84103 [{(450*n+900)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=226} ogf] A159519 43.9654 [-26+450*x+f(x) lgdegf] A159520 4.84103 [{(450*n+900)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=334} ogf] A159520 44.1634 [-28+450*x+f(x) lgdegf] A159521 4.77533 [{(-128*n-256)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-127} ogf] A159521 46.4211 [-1+128*x+f(x) lgdegf] A159522 4.79818 [{(-128*n-256)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=-119} ogf] A159522 46.6390 [-3+128*x+f(x) lgdegf] A159523 4.72963 [{(-128*n-256)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=-103} ogf] A159523 45.9852 [-5+128*x+f(x) lgdegf] A159524 5.52225 [{(128*n+256)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-79} ogf] A159524 53.1383 [-7+128*x+f(x) lgdegf] A159525 4.76808 [{(128*n+256)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-47} ogf] A159525 46.2031 [-9+128*x+f(x) lgdegf] A159526 4.79818 [{(128*n+256)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-7} ogf] A159526 43.3076 [-11+128*x+f(x) lgdegf] A159527 4.75979 [{(128*n+256)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=41} ogf] A159527 43.3076 [-13+128*x+f(x) lgdegf] A159528 4.80513 [{(128*n+256)*a(n+1)+a(n+3)-15*a(n+2),a(0)=1,a(1)=15,a(2)=97} ogf] A159528 43.5100 [-15+128*x+f(x) lgdegf] A159529 103.210 [2-578*x lgdegf] A159529 5.68909 [{(-578*n-1156)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-574} ogf] A159530 4.96848 [{(-578*n-1156)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-562} ogf] A159530 48.6270 [-4+578*x+f(x) lgdegf] A159531 4.99066 [{(-578*n-1156)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-542} ogf] A159531 48.8402 [-6+578*x+f(x) lgdegf] A159532 4.96848 [{(-578*n-1156)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-514} ogf] A159532 48.6270 [-8+578*x+f(x) lgdegf] A159533 4.86841 [{(578*n+1156)*a(n+1)+a(n+3)-10*a(n+2),a(0)=1,a(1)=10,a(2)=-478} ogf] A159533 44.7575 [-10+578*x+f(x) lgdegf] A159534 4.86841 [{(-578*n-1156)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-434} ogf] A159534 44.7575 [-12+578*x+f(x) lgdegf] A159535 4.91207 [{(-578*n-1156)*a(n+1)-a(n+3)+14*a(n+2),a(0)=1,a(1)=14,a(2)=-382} ogf] A159535 45.3517 [-14+578*x+f(x) lgdegf] A159536 4.91207 [{(-578*n-1156)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-322} ogf] A159536 45.1536 [-16+578*x+f(x) lgdegf] A159537 4.89024 [{(578*n+1156)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=-254} ogf] A159537 45.1536 [-18+578*x+f(x) lgdegf] A159538 4.91207 [{(-578*n-1156)*a(n+1)-a(n+3)+20*a(n+2),a(0)=1,a(1)=20,a(2)=-178} ogf] A159538 45.1536 [-20+578*x+f(x) lgdegf] A159539 4.92905 [{(578*n+1156)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-94} ogf] A159539 45.1536 [-22+578*x+f(x) lgdegf] A159540 4.94630 [{(578*n+1156)*a(n+1)+a(n+3)-24*a(n+2),a(0)=1,a(1)=24,a(2)=-2} ogf] A159540 44.7575 [-24+578*x+f(x) lgdegf] A159541 4.95106 [{(578*n+1156)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=98} ogf] A159541 45.1536 [-26+578*x+f(x) lgdegf] A159542 4.93390 [{(578*n+1156)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=206} ogf] A159542 45.1536 [-28+578*x+f(x) lgdegf] A159543 4.91207 [{(578*n+1156)*a(n+1)+a(n+3)-30*a(n+2),a(0)=1,a(1)=30,a(2)=322} ogf] A159543 45.1536 [-30+578*x+f(x) lgdegf] A159544 4.95573 [{(578*n+1156)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=446} ogf] A159544 45.5497 [-32+578*x+f(x) lgdegf] A159545 4.88957 [{(162*n+324)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-161} ogf] A159545 47.5108 [-1+162*x+f(x) lgdegf] A159546 4.91242 [{(162*n+324)*a(n+1)+a(n+3)-5*a(n+2),a(0)=1,a(1)=5,a(2)=-137} ogf] A159546 47.9466 [-5+162*x+f(x) lgdegf] A159548 7.53116 [-(x-1)*(181*x^4+380*x^3+601*x^2+380*x+181)/(x^6-6*x^3+1) ogf] A159551 17.0691 [(91*x+10)/(x-1)^2 ogf] A159551 24.5972 [-(-5-x+(25+101*x)^(1/2))/(-91+x) revogf] A159551 29.1523 [-(111+91*x)/(91*x+10)/(x-1) lgdogf] A159551 8.62632 [(202*f(x)+10301)*(f(x)*x^2-2*f(x)*x+f(x)-91*x-10) ogf] A159551 9.43821 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10,a(1)=111} ogf] A159552 4.93527 [{(162*n+324)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-113} ogf] A159552 48.1646 [-7+162*x+f(x) lgdegf] A159561 4.94112 [{(162*n+324)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-41} ogf] A159561 45.1290 [-11+162*x+f(x) lgdegf] A159562 4.91242 [{(162*n+324)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=7} ogf] A159562 44.1171 [-13+162*x+f(x) lgdegf] A159563 4.90190 [{(162*n+324)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=127} ogf] A159563 44.7242 [-17+162*x+f(x) lgdegf] A159564 49.4801 [-2+722*x+f(x) lgdegf] A159564 5.05721 [{(-722*n-1444)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-718} ogf] A159565 7.63978 [-(x-1)*(221*x^4+462*x^3+727*x^2+462*x+221)/(x^6-6*x^3+1) ogf] A159574 7.30934 [-(x-1)*(313*x^4+650*x^3+1015*x^2+650*x+313)/(x^6-6*x^3+1) ogf] A159582 11.5641 [-(2*x^3-x^2-6*x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A159582 7.09118 [(1352*f(x)+529)*(f(x)*x^4-6*f(x)*x^2+2*x^3-x^2+f(x)-6*x-1) ogf] A159582 8.69531 [-2*(3+7*x+x^6-x^5-3*x^4+15*x^2-2*x^3)/(x^2+2*x-1)/(x^2-2*x-1)/(2*x^3-x^2-6*x-1) lgdogf] A159584 5.30011 [-(-5*x^11-3*x^9-2*x^8-3*x^7-3*x^5-3*x^3-2*x^2-3*x)/(x^12-1) ogf_with_Euler_transform] A159589 7.38100 [-(x-1)*(421*x^4+870*x^3+1351*x^2+870*x+421)/(x^6-6*x^3+1) ogf] A159605 5.49355 [{(8*n^2+26*n+21)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A159612 10.1763 [{a(n+2)-a(n+1)-4*a(n),a(0)=1,a(1)=4} ogf] A159612 18.5436 [-(3*x+1)/(4*x^2+x-1) ogf] A159612 20.5181 [1/2/(3+4*x)*(-1-x+(1+14*x+17*x^2)^(1/2)) revogf] A159612 22.7979 [-4*(1+2*x+3*x^2)/(3*x+1)/(4*x^2+x-1) lgdogf] A159612 9.37594 [-(f(x)+1)*(4*f(x)*x^2+f(x)*x-f(x)+3*x+1) ogf] A159616 11.5477 [-(x-1)/(8*x^3-2*x^2-5*x+1) ogf] A159616 12.2380 [-2*(2+2*x-13*x^2+8*x^3)/(x-1)/(8*x^3-2*x^2-5*x+1) lgdogf] A159616 5.41616 [{a(n+3)-5*a(n+2)-2*a(n+1)+8*a(n),a(0)=1,a(1)=4,a(2)=22} ogf] A159616 5.71987 [(533*f(x)+116)*(8*f(x)*x^3-2*f(x)*x^2-5*f(x)*x+f(x)+x-1) ogf] A159617 11.9264 [-(x-1)/(8*x^3-8*x^2-8*x+1) ogf] A159617 12.6554 [-(7+16*x+16*x^3-32*x^2)/(x-1)/(8*x^3-8*x^2-8*x+1) lgdogf] A159617 5.59380 [{-a(n+3)+8*a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=7,a(2)=64} ogf] A159617 5.69459 [-(8575*f(x)-83)*(8*f(x)*x^3-8*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A159618 49.6933 [-4+722*x+f(x) lgdegf] A159618 5.07938 [{(-722*n-1444)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-706} ogf] A159620 5.16810 [{(722*n+1444)*a(n+1)+a(n+3)-6*a(n+2),a(0)=1,a(1)=6,a(2)=-686} ogf] A159620 50.5464 [-6+722*x+f(x) lgdegf] A159621 5.14593 [{(-722*n-1444)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-658} ogf] A159621 50.3332 [-8+722*x+f(x) lgdegf] A159622 46.7379 [-10+722*x+f(x) lgdegf] A159622 5.06489 [{(-722*n-1444)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-622} ogf] A159626 7.52432 [-(x-1)*(545*x^4+1122*x^3+1735*x^2+1122*x+545)/(x^6-6*x^3+1) ogf] A159641 7.12327 [-(x-1)*(613*x^4+1260*x^3+1945*x^2+1260*x+613)/(x^6-6*x^3+1) ogf] A159644 4.99939 [{(-722*n-1444)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-578} ogf] A159644 46.1438 [-12+722*x+f(x) lgdegf] A159645 46.1438 [-14+722*x+f(x) lgdegf] A159645 5.02123 [{(-722*n-1444)*a(n+1)-a(n+3)+14*a(n+2),a(0)=1,a(1)=14,a(2)=-526} ogf] A159646 4.99939 [{(-722*n-1444)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-466} ogf] A159646 46.1438 [-16+722*x+f(x) lgdegf] A159647 46.5399 [-18+722*x+f(x) lgdegf] A159647 5.06489 [{(722*n+1444)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=-398} ogf] A159648 46.5399 [-20+722*x+f(x) lgdegf] A159648 5.04306 [{(722*n+1444)*a(n+1)+a(n+3)-20*a(n+2),a(0)=1,a(1)=20,a(2)=-322} ogf] A159649 46.5399 [-22+722*x+f(x) lgdegf] A159649 5.06489 [{(722*n+1444)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-238} ogf] A159650 46.5399 [-24+722*x+f(x) lgdegf] A159650 5.04306 [{(722*n+1444)*a(n+1)+a(n+3)-24*a(n+2),a(0)=1,a(1)=24,a(2)=-146} ogf] A159651 46.1438 [-26+722*x+f(x) lgdegf] A159651 5.06108 [{(722*n+1444)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-46} ogf] A159652 46.5399 [-28+722*x+f(x) lgdegf] A159652 5.10509 [{(722*n+1444)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=62} ogf] A159653 46.5399 [-30+722*x+f(x) lgdegf] A159653 5.06489 [{(722*n+1444)*a(n+1)+a(n+3)-30*a(n+2),a(0)=1,a(1)=30,a(2)=178} ogf] A159654 46.5399 [-32+722*x+f(x) lgdegf] A159654 5.08672 [{(722*n+1444)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=302} ogf] A159655 46.7379 [-34+722*x+f(x) lgdegf] A159655 5.08672 [{(722*n+1444)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=434} ogf] A159656 46.1438 [-36+722*x+f(x) lgdegf] A159656 5.02123 [{(722*n+1444)*a(n+1)+a(n+3)-36*a(n+2),a(0)=1,a(1)=36,a(2)=574} ogf] A159657 49.0363 [-1+200*x+f(x) lgdegf] A159657 5.04951 [{(-200*n-400)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-199} ogf] A159658 49.9081 [-3+200*x+f(x) lgdegf] A159658 5.14090 [{(-200*n-400)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=-191} ogf] A159659 49.0363 [-7+200*x+f(x) lgdegf] A159659 5.04951 [{(200*n+400)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-151} ogf] A159660 49.2543 [-9+200*x+f(x) lgdegf] A159660 5.07236 [{(200*n+400)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-119} ogf] A159661 15.2059 [(x+1)/(x^2-24*x+1) ogf] A159661 7.85921 [(598*f(x)+27)*(f(x)*x^2-24*f(x)*x+f(x)-x-1) ogf] A159661 8.32702 [{-a(n+2)+24*a(n+1)-a(n),a(0)=1,a(1)=25} ogf] A159663 45.9385 [-11+200*x+f(x) lgdegf] A159663 5.03178 [{(200*n+400)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-79} ogf] A159664 15.2059 [-(x-1)/(x^2-24*x+1) ogf] A159664 15.9979 [-1/2*(-1-24*x+(1+44*x+572*x^2)^(1/2))/(1+x) revogf] A159664 20.8457 [-(23-2*x+x^2)/(-1+x)/(x^2-24*x+1) lgdogf] A159664 7.52118 [-(550*f(x)-21)*(f(x)*x^2-24*f(x)*x+f(x)+x-1) ogf] A159664 8.32702 [{a(n+2)-24*a(n+1)+a(n),a(0)=1,a(1)=23} ogf] A159665 11.4910 [-48*x/(x-1)/(x^2-574*x+1) ogf] A159665 4.78791 [{a(n+3)-575*a(n+2)+575*a(n+1)-a(n),a(0)=0,a(1)=48,a(2)=27600} ogf] A159665 7.00669 [f(x)*x^3-575*f(x)*x^2+575*f(x)*x-f(x)+48*x ogf] A159668 13.9197 [-(x-1)/(x^2-28*x+1) ogf] A159668 14.6273 [-1/2*(-1-28*x+(1+52*x+780*x^2)^(1/2))/(1+x) revogf] A159668 19.0598 [-(27-2*x+x^2)/(-1+x)/(x^2-28*x+1) lgdogf] A159668 6.88501 [-(754*f(x)-25)*(f(x)*x^2-28*f(x)*x+f(x)+x-1) ogf] A159668 7.62268 [{a(n+2)-28*a(n+1)+a(n),a(0)=1,a(1)=27} ogf] A159669 13.9197 [(x+1)/(x^2-28*x+1) ogf] A159669 14.6273 [-1/2*(-1-28*x+(1+60*x+780*x^2)^(1/2))/(x-1) revogf] A159669 19.0598 [-(-29+2*x+x^2)/(x+1)/(x^2-28*x+1) lgdogf] A159669 7.19445 [(810*f(x)+31)*(f(x)*x^2-28*f(x)*x+f(x)-x-1) ogf] A159669 7.62268 [{-a(n+2)+28*a(n+1)-a(n),a(0)=1,a(1)=29} ogf] A159670 45.9385 [-13+200*x+f(x) lgdegf] A159670 5.03178 [{(200*n+400)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=-31} ogf] A159673 12.0040 [-56*x/(x-1)/(x^2-782*x+1) ogf] A159673 5.00165 [{a(n+3)-783*a(n+2)+783*a(n+1)-a(n),a(0)=0,a(1)=56,a(2)=43848} ogf] A159673 7.31949 [f(x)*x^3-783*f(x)*x^2+783*f(x)*x-f(x)+56*x ogf] A159674 14.5356 [-(x-1)/(x^2-32*x+1) ogf] A159674 14.9387 [-1/2*(-1-32*x+(1+60*x+1020*x^2)^(1/2))/(1+x) revogf] A159674 19.9183 [-(31-2*x+x^2)/(-1+x)/(x^2-32*x+1) lgdogf] A159674 7.18966 [-(990*f(x)-29)*(f(x)*x^2-32*f(x)*x+f(x)+x-1) ogf] A159674 7.95998 [{a(n+2)-32*a(n+1)+a(n),a(0)=1,a(1)=31} ogf] A159675 14.5972 [(x+1)/(x^2-32*x+1) ogf] A159675 15.0031 [-1/2*(-1-32*x+(1+68*x+1020*x^2)^(1/2))/(x-1) revogf] A159675 20.0042 [-(-33+2*x+x^2)/(x+1)/(x^2-32*x+1) lgdogf] A159675 7.4608 [(1054*f(x)+35)*(f(x)*x^2-32*f(x)*x+f(x)-x-1) ogf] A159675 7.99370 [{-a(n+2)+32*a(n+1)-a(n),a(0)=1,a(1)=33} ogf] A159676 45.9385 [-17+200*x+f(x) lgdegf] A159676 5.09978 [{(200*n+400)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=89} ogf] A159677 12.1295 [-64*x^2/(x-1)/(x^2-1022*x+1) ogf] A159677 5.39090 [{a(n+3)-1023*a(n+2)+1023*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=64} ogf] A159677 7.16744 [f(x)*x^3-1023*f(x)*x^2+1023*f(x)*x+64*x^2-f(x) ogf] A159678 15.2983 [(x+1)/(x^2-16*x+1) ogf] A159678 16.0917 [-1/2*(-1-16*x+(1+36*x+252*x^2)^(1/2))/(x-1) revogf] A159678 20.9680 [-(-17+2*x+x^2)/(x+1)/(x^2-16*x+1) lgdogf] A159678 7.90698 [(270*f(x)+19)*(f(x)*x^2-16*f(x)*x+f(x)-x-1) ogf] A159678 8.37763 [{-a(n+2)+16*a(n+1)-a(n),a(0)=1,a(1)=17} ogf] A159679 12.1397 [-32*x/(x-1)/(x^2-254*x+1) ogf] A159679 5.10071 [{a(n+3)-255*a(n+2)+255*a(n+1)-a(n),a(0)=0,a(1)=32,a(2)=8160} ogf] A159679 7.40223 [f(x)*x^3-255*f(x)*x^2+255*f(x)*x-f(x)+32*x ogf] A159680 11.7052 [-3*(133-266*x+x^2)/(x-1)/(x^2-398*x+1) lgdogf] A159680 13.0897 [-40*x/(x-1)/(x^2-398*x+1) ogf] A159680 5.45406 [{a(n+3)-399*a(n+2)+399*a(n+1)-a(n),a(0)=0,a(1)=40,a(2)=15960} ogf] A159680 7.98154 [f(x)*x^3-399*f(x)*x^2+399*f(x)*x-f(x)+40*x ogf] A159681 11.9473 [-(143-286*x+3*x^2)/(x-1)/(x^2-142*x+1) lgdogf] A159681 12.9986 [-24*x/(x-1)/(x^2-142*x+1) ogf] A159681 5.46161 [{a(n+3)-143*a(n+2)+143*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=3432} ogf] A159681 7.926 [f(x)*x^3-143*f(x)*x^2+143*f(x)*x-f(x)+24*x ogf] A159682 46.1408 [-19+200*x+f(x) lgdegf] A159682 5.08179 [{(200*n+400)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=161} ogf] A159683 13.4586 [-16*x/(x-1)/(x^2-62*x+1) ogf] A159683 5.52148 [{a(n+3)-63*a(n+2)+63*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=1008} ogf] A159683 8.07516 [f(x)*x^3-63*f(x)*x^2+63*f(x)*x-f(x)+16*x ogf] A159690 7.19415 [-(x-1)*(841*x^4+1722*x^3+2647*x^2+1722*x+841)/(x^6-6*x^3+1) ogf] A159693 14.9961 [-2*(1+3*x+2*x^4-2*x^3+4*x^2)/(x-1)/(x+1)/(x^3-x^2+x+1) lgdogf] A159693 8.17263 [(x^3-x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A159694 14.7136 [-(11*x-6)/(2*x-1)^2 ogf] A159694 22.1119 [-(-3-2*x+(9+x)^(1/2))/(4*x+11) revogf] A159694 23.6914 [-(-13+22*x)/(2*x-1)/(11*x-6) lgdogf] A159694 7.69121 [(4*f(x)+145)*(4*f(x)*x^2-4*f(x)*x+f(x)+11*x-6) ogf] A159694 8.15454 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=6,a(1)=13} ogf] A159695 14.7136 [-(13*x-7)/(2*x-1)^2 ogf] A159695 17.9286 [-1/2*(-7-4*x+(49+4*x)^(1/2))/(13+4*x) revogf] A159695 23.6914 [-(-15+26*x)/(2*x-1)/(13*x-7) lgdogf] A159695 7.69121 [(4*f(x)+197)*(4*f(x)*x^2-4*f(x)*x+f(x)+13*x-7) ogf] A159695 8.15454 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=7,a(1)=15} ogf] A159696 14.7868 [-(15*x-8)/(2*x-1)^2 ogf] A159696 21.5073 [-(-4-2*x+(16+x)^(1/2))/(15+4*x) revogf] A159696 23.8116 [-(-17+30*x)/(2*x-1)/(15*x-8) lgdogf] A159696 7.72947 [(4*f(x)+257)*(4*f(x)*x^2-4*f(x)*x+f(x)+15*x-8) ogf] A159696 8.19512 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=8,a(1)=17} ogf] A159697 13.8359 [-(17*x-9)/(2*x-1)^2 ogf] A159697 16.8411 [-1/2*(-9-4*x+(81+4*x)^(1/2))/(17+4*x) revogf] A159697 21.4869 [-(-19+34*x)/(-1+2*x)/(17*x-9) lgdogf] A159697 7.2324 [(4*f(x)+325)*(4*f(x)*x^2-4*f(x)*x+f(x)+17*x-9) ogf] A159697 7.66807 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=9,a(1)=19} ogf] A159701 6.68768 [-(x-1)*(925*x^4+1892*x^3+2905*x^2+1892*x+925)/(x^6-6*x^3+1) ogf] A159705 5.19029 [{(882*n+1764)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=-878} ogf] A159705 50.7597 [-2+882*x+f(x) lgdegf] A159706 5.19029 [{(-882*n-1764)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-866} ogf] A159706 50.7597 [-4+882*x+f(x) lgdegf] A159707 5.19029 [{(-882*n-1764)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-818} ogf] A159707 50.7597 [-8+882*x+f(x) lgdegf] A159709 47.5301 [-10+882*x+f(x) lgdegf] A159709 5.15221 [{(-882*n-1764)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-782} ogf] A159710 3.30294 [{(8*n^3+40*n^2+48*n)*a(n+1)+(-6*n^3-20*n^2-2*n+12)*a(n+2)+(n^3+2*n^2-n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=8} ogf] A159710 5.09959 [-2*(-5+34*x+24*x^3-66*x^2)/(2*x-1)/(4*x-1)/(2*x^2-4*x+1) lgdogf] A159710 7.57937 [-8*x^4*(2*x^2-4*x+1)/(4*x-1)^2/(2*x-1)^3 ogf] A159711 4.18454 [-16*x^6*(144*x^4-444*x^3+296*x^2-73*x+6)/(6*x-1)^2/(4*x-1)^3/(2*x-1)^4 ogf] A159715 14.4072 [-2*(3*x-2)/(3*x-1)^2 ogf] A159715 18.1603 [2*x/(4+6*x)^(1/2)/(2+(4+6*x)^(1/2)) revogf] A159715 26.4838 [-9*(x-1)/(3*x-1)/(3*x-2) lgdogf] A159715 7.53864 [(7*f(x)+53)*(9*f(x)*x^2-6*f(x)*x+f(x)+6*x-4) ogf] A159715 7.81111 [{-a(n+2)+6*a(n+1)-9*a(n),a(0)=4,a(1)=18} ogf] A159721 13.5480 [-6*(2*x-1)/(4*x-1)^2 ogf] A159721 16.8754 [3*x/(9+12*x)^(1/2)/(3+(9+12*x)^(1/2)) revogf] A159721 22.2996 [-2*(-3+4*x)/(-1+4*x)/(2*x-1) lgdogf] A159721 7.07505 [(14*f(x)+159)*(16*f(x)*x^2-8*f(x)*x+f(x)+12*x-6) ogf] A159721 7.58040 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=6,a(1)=36} ogf] A159727 12.2950 [-4*(5*x-2)/(5*x-1)^2 ogf] A159727 17.5205 [x/(4+5*x)^(1/2)/(2+(4+5*x)^(1/2)) revogf] A159727 20.6491 [-5*(-3+5*x)/(5*x-1)/(-2+5*x) lgdogf] A159727 6.55733 [(7*f(x)+106)*(25*f(x)*x^2-10*f(x)*x+f(x)+20*x-8) ogf] A159727 6.94305 [{-a(n+2)+10*a(n+1)-25*a(n),a(0)=8,a(1)=60} ogf] A159733 11.7778 [-10*(3*x-1)/(6*x-1)^2 ogf] A159733 14.4957 [5*x/(25+30*x)^(1/2)/(5+(25+30*x)^(1/2)) revogf] A159733 20.9382 [-9*(-1+2*x)/(6*x-1)/(3*x-1) lgdogf] A159733 6.27294 [(14*f(x)+265)*(36*f(x)*x^2-12*f(x)*x+f(x)+30*x-10) ogf] A159733 6.71058 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=10,a(1)=90} ogf] A159736 12.6190 [-6*(7*x-2)/(7*x-1)^2 ogf] A159736 15.5527 [6*x/(36+42*x)^(1/2)/(6+(36+42*x)^(1/2)) revogf] A159736 22.4650 [-7*(-3+7*x)/(7*x-1)/(7*x-2) lgdogf] A159736 6.79486 [(7*f(x)+159)*(49*f(x)*x^2-14*f(x)*x+f(x)+42*x-12) ogf] A159736 7.10726 [{-a(n+2)+14*a(n+1)-49*a(n),a(0)=12,a(1)=126} ogf] A159738 11.9154 [-14*(4*x-1)/(8*x-1)^2 ogf] A159738 14.6742 [7*x/(49+56*x)^(1/2)/(7+(49+56*x)^(1/2)) revogf] A159738 21.1960 [-4*(-3+8*x)/(8*x-1)/(4*x-1) lgdogf] A159738 6.48728 [(2*f(x)+53)*(64*f(x)*x^2-16*f(x)*x+f(x)+56*x-14) ogf] A159738 6.71098 [{-a(n+2)+16*a(n+1)-64*a(n),a(0)=14,a(1)=168} ogf] A159739 13.5122 [2*x/(16+18*x)^(1/2)/(4+(16+18*x)^(1/2)) revogf] A159739 13.8809 [-8*(9*x-2)/(9*x-1)^2 ogf] A159739 19.5177 [-27*(3*x-1)/(9*x-1)/(9*x-2) lgdogf] A159739 7.47435 [(7*f(x)+212)*(81*f(x)*x^2-18*f(x)*x+f(x)+72*x-16) ogf] A159739 7.81800 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=16,a(1)=216} ogf] A159740 13.7045 [x/(9+10*x)^(1/2)/(3+(9+10*x)^(1/2)) revogf] A159740 16.5399 [-5*(-3+10*x)/(10*x-1)/(5*x-1) lgdogf] A159740 5.27686 [(14*f(x)+477)*(100*f(x)*x^2-20*f(x)*x+f(x)+90*x-18) ogf] A159740 5.57668 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=18,a(1)=270} ogf] A159740 9.81496 [-18*(5*x-1)/(10*x-1)^2 ogf] A159741 17.9939 [-1/4*(-8-3*x+(64+48*x+x^2)^(1/2))/x revogf] A159741 19.4883 [8/(x-1)/(2*x-1) ogf] A159741 26.2411 [-(-3+4*x)/(2*x-1)/(-1+x) lgdogf] A159741 7.65614 [(31*f(x)+400)*(2*f(x)*x^2-3*f(x)*x+f(x)-8) ogf] A159741 7.74837 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=8,a(1)=24} ogf] A159742 14.1717 [(2*x^2+5*x+13)/(x-1)/(2*x-1) ogf] A159742 15.6597 [-4*(-11+12*x+4*x^2)/(x-1)/(2*x-1)/(2*x^2+5*x+13) lgdogf] A159742 7.21953 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=13,a(1)=44,a(2)=108} ogf] A159742 7.88938 [(21*f(x)+211)*(2*f(x)*x^2-3*f(x)*x-2*x^2+f(x)-5*x-13) ogf] A159745 46.5399 [-16+882*x+f(x) lgdegf] A159745 5.06489 [{(-882*n-1764)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-626} ogf] A159748 6.40650 [(2*x^7+7*x^6+22*x^5+63*x^4+168*x^3+379*x^2+495*x+144)/(x-1)/(2*x-1) ogf] A159750 8.28894 [-(x-1)*(37*x^4+84*x^3+149*x^2+84*x+37)/(x^6-6*x^3+1) ogf] A159753 47.1340 [-20+882*x+f(x) lgdegf] A159753 5.13039 [{(882*n+1764)*a(n+1)+a(n+3)-20*a(n+2),a(0)=1,a(1)=20,a(2)=-482} ogf] A159754 13.5077 [(9*x^2+32*x+9)/(x+1)/(x-1)^2 ogf] A159754 16.4350 [-(41+77*x+73*x^2+9*x^3)/(x-1)/(x+1)/(9*x^2+32*x+9) lgdogf] A159754 6.97899 [-(23*f(x)-1442)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-32*x-9) ogf] A159754 7.34632 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=9,a(1)=41,a(2)=59} ogf] A159758 7.87244 [-(x-1)*(65*x^4+144*x^3+245*x^2+144*x+65)/(x^6-6*x^3+1) ogf] A159761 46.7379 [-22+882*x+f(x) lgdegf] A159761 5.08672 [{(882*n+1764)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-398} ogf] A159762 47.1340 [-26+882*x+f(x) lgdegf] A159762 5.10855 [{(882*n+1764)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-206} ogf] A159763 47.5301 [-32+882*x+f(x) lgdegf] A159763 5.17405 [{(882*n+1764)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=142} ogf] A159768 5.71842 [-x^3*f(x)^3+f(x)^2*x^3-f(x)^2*x^2+f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A159768 9.50539 [-1/2*(-2*x-1-x^2-x^3+(2*x^2+2*x^3+5*x^4+1+2*x^5+x^6)^(1/2))/(1+x+x^2) revogf] A159769 13.3851 [-1/2*(-2*x-1-2*x^2+(4*x^3+1+4*x^4)^(1/2))/(1+x)^2 revogf] A159769 6.75813 [-f(x)^2*x^3+2*f(x)^2*x^2-2*f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A159770 5.2422 [-x^2*f(x)^3+2*f(x)^2*x^2-3*f(x)^2*x-f(x)*x^2+f(x)^2+3*f(x)*x-f(x)-x ogf] A159771 7.51747 [2*f(x)^2*x^2-3*f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1 ogf] A159772 7.00799 [4*f(x)^3*x-f(x)^3-6*f(x)^2*x+f(x)^2+4*f(x)*x-x ogf] A159776 47.1340 [-34+882*x+f(x) lgdegf] A159776 5.13039 [{(882*n+1764)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=274} ogf] A159777 7.45875 [-(x-1)*(145*x^4+312*x^3+509*x^2+312*x+145)/(x^6-6*x^3+1) ogf] A159784 47.3321 [-38+882*x+f(x) lgdegf] A159784 5.15221 [{(882*n+1764)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=562} ogf] A159806 49.9081 [-1+242*x+f(x) lgdegf] A159806 5.14090 [{(242*n+484)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-241} ogf] A159807 5.23230 [{(-242*n-484)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=-233} ogf] A159807 50.7798 [-3+242*x+f(x) lgdegf] A159808 5.23230 [{(-242*n-484)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=-217} ogf] A159808 50.7798 [-5+242*x+f(x) lgdegf] A159809 7.60358 [-(x-1)*(197*x^4+420*x^3+677*x^2+420*x+197)/(x^6-6*x^3+1) ogf] A159814 11.8929 [-(-7*x^3-2*x^2-x-2)/(x^4-1) ogf_with_Euler_transform] A159814 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^(7/4)*2^(1/2)/GAMMA(3/4)^7 A159815 4.93395 [-(47636*x^17-22*x^16-47614*x^15+15050*x^7-15050*x^5+6286*x^4+664*x^3-6293*x^2-700*x-7)/(x+1)/(x-1)^2 ogf] A159817 99.9999 Evaluated at exp(-Pi) 1/100*exp(1/2*Pi)*Pi/GAMMA(3/4)^4*(5+5^(1/2))*5^(1/2) A159818 3.41220 [-(2*x^19-x^18+2*x^17-x^16+x^15-2*x^14+2*x^13-x^12+x^11-x^10+4*x^9-x^8+x^7-x^6+2*x^5-2*x^4+x^3-x^2+2*x-1)/(-x^20+1) ogf_with_Euler_transform] A159818 99.9999 Evaluated at exp(-Pi) 1/1250*exp(1/4*Pi)*Pi^(1/2)*2^(9/10)/GAMMA(3/4)^2/GAMMA(4/5)^4*GAMMA(9/10)^2*GAMMA(7/10)^2*(1/4*5^(1/2)-1/4)^2*(1/4*5^(1/2)+1/4)^2*5^(1/2)*(5^(1/2)*2^(1/2)*(5+5^(1/2))^(1/2))^(7/2)*4^(1/2)/(2^(1/2)*(5+5^(1/2))^(1/2))^(1/2) A159819 5.06992 [-(-4*x^11+x^10-3*x^9+2*x^8-2*x^7+x^6-6*x^5+x^4-2*x^3+2*x^2-3*x+1)/(x^12-1) ogf_with_Euler_transform] A159819 99.9999 Evaluated at exp(-Pi) 3/32*exp(1/2*Pi)*Pi*GAMMA(11/12)^7*GAMMA(7/12)^7/GAMMA(3/4)^18 A159826 49.9081 [-7+242*x+f(x) lgdegf] A159826 5.11806 [{(-242*n-484)*a(n+1)-a(n+3)+7*a(n+2),a(0)=1,a(1)=7,a(2)=-193} ogf] A159831 5.20945 [{(242*n+484)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-161} ogf] A159831 50.7798 [-9+242*x+f(x) lgdegf] A159832 46.9503 [-13+242*x+f(x) lgdegf] A159832 5.16778 [{(242*n+484)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=-73} ogf] A159833 15.7498 [-(19-6*x+8*x^3+9*x^2)/(x-1)/(x+1)/(4*x^2-5*x+4) lgdogf] A159833 4.05984 [{(-13*n^2-89*n-126)*a(n+1)+(26*n^2+104*n-36)*a(n+2)+(-13*n^2-15*n+22)*a(n+3),a(0)=0,a(1)=4,a(2)=19} ogf] A159833 8.25353 [-x*(x+1)*(4*x^2-5*x+4)/(x-1)^5 ogf] A159840 46.9503 [-15+242*x+f(x) lgdegf] A159840 5.16778 [{(242*n+484)*a(n+1)+a(n+3)-15*a(n+2),a(0)=1,a(1)=15,a(2)=-17} ogf] A159844 7.34517 [-(x-1)*(325*x^4+684*x^3+1085*x^2+684*x+325)/(x^6-6*x^3+1) ogf] A159850 47.1527 [-17+242*x+f(x) lgdegf] A159850 5.19044 [{(242*n+484)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=47} ogf] A159851 46.9503 [-19+242*x+f(x) lgdegf] A159851 5.17173 [{(242*n+484)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=119} ogf] A159857 46.9503 [-21+242*x+f(x) lgdegf] A159857 5.17173 [{(242*n+484)*a(n+1)+a(n+3)-21*a(n+2),a(0)=1,a(1)=21,a(2)=199} ogf] A159858 48.1242 [-2+1058*x+f(x) lgdegf] A159858 5.21771 [{(-1058*n-2116)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-1054} ogf] A159859 48.5203 [-4+1058*x+f(x) lgdegf] A159859 5.26137 [{(-1058*n-2116)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-1042} ogf] A159865 48.7184 [-6+1058*x+f(x) lgdegf] A159865 5.28320 [{(-1058*n-2116)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-1022} ogf] A159868 48.3223 [-8+1058*x+f(x) lgdegf] A159868 5.28113 [{(-1058*n-2116)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-994} ogf] A159869 45.4705 [-10+1058*x+f(x) lgdegf] A159869 5.24193 [{(-1058*n-2116)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-958} ogf] A159870 45.4705 [-12+1058*x+f(x) lgdegf] A159870 5.24193 [{(-1058*n-2116)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-914} ogf] A159871 44.9160 [-14+1058*x+f(x) lgdegf] A159871 5.19861 [{(-1058*n-2116)*a(n+1)-a(n+3)+14*a(n+2),a(0)=1,a(1)=14,a(2)=-862} ogf] A159872 44.9160 [-16+1058*x+f(x) lgdegf] A159872 5.19861 [{(-1058*n-2116)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-802} ogf] A159873 45.2856 [-18+1058*x+f(x) lgdegf] A159873 5.22027 [{(1058*n+2116)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=-734} ogf] A159874 44.9160 [-20+1058*x+f(x) lgdegf] A159874 5.17695 [{(-1058*n-2116)*a(n+1)-a(n+3)+20*a(n+2),a(0)=1,a(1)=20,a(2)=-658} ogf] A159875 45.2856 [-22+1058*x+f(x) lgdegf] A159875 5.24193 [{(1058*n+2116)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-574} ogf] A159877 44.7311 [-24+1058*x+f(x) lgdegf] A159877 5.17695 [{(1058*n+2116)*a(n+1)+a(n+3)-24*a(n+2),a(0)=1,a(1)=24,a(2)=-482} ogf] A159882 44.5463 [-26+1058*x+f(x) lgdegf] A159882 5.15528 [{(1058*n+2116)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-382} ogf] A159883 45.2856 [-28+1058*x+f(x) lgdegf] A159883 5.22027 [{(-1058*n-2116)*a(n+1)-a(n+3)+28*a(n+2),a(0)=1,a(1)=28,a(2)=-274} ogf] A159884 45.4705 [-30+1058*x+f(x) lgdegf] A159884 5.24193 [{(1058*n+2116)*a(n+1)+a(n+3)-30*a(n+2),a(0)=1,a(1)=30,a(2)=-158} ogf] A159889 45.1008 [-32+1058*x+f(x) lgdegf] A159889 5.26137 [{(1058*n+2116)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=-34} ogf] A159890 7.38100 [-(x-1)*(401*x^4+840*x^3+1325*x^2+840*x+401)/(x^6-6*x^3+1) ogf] A159893 7.12327 [-(x-1)*(677*x^4+1404*x^3+2189*x^2+1404*x+677)/(x^6-6*x^3+1) ogf] A159896 7.15871 [-(x-1)*(785*x^4+1624*x^3+2525*x^2+1624*x+785)/(x^6-6*x^3+1) ogf] A159904 45.2856 [-34+1058*x+f(x) lgdegf] A159904 5.28320 [{(1058*n+2116)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=98} ogf] A159914 15.9599 [-(3-5*x+6*x^4-9*x^3+13*x^2)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A159914 19.7550 [-x^5+2*x^3+x^2-x+3 ogf_with_Euler_transform] A159914 7.26746 [x^4*(x^2-x+1)/(x^2+1)^2/(x-1)^4 ogf] A159915 16.7513 [-(2-4*x+5*x^4-8*x^3+11*x^2)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A159915 20.8551 [-x^5+2*x^3+x^2-x+2 ogf_with_Euler_transform] A159915 8.49944 [-x^3*(x^2-x+1)/(x^2+1)^2/(x-1)^3 ogf] A159920 12.3583 [-2*(x-2)/(x-1)^4 ogf] A159920 35.1905 [-(-7+3*x)/(x-1)/(x-2) lgdogf] A159920 4.92716 [{(2*n+6)*a(n+3)+(-13-3*n)*a(n+2)+(4+n)*a(n+1),a(0)=4,a(1)=14,a(2)=32} ogf] A159920 6.07948 [(61*f(x)+484)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+2*x-4) ogf] A159921 45.6553 [-36+1058*x+f(x) lgdegf] A159921 5.28525 [{(1058*n+2116)*a(n+1)+a(n+3)-36*a(n+2),a(0)=1,a(1)=36,a(2)=238} ogf] A159925 3.26372 [{a(n+1)+(-n-5)*a(n+2)+(n+7)*a(n+3)-a(n+4),a(0)=1,a(1)=3,a(2)=12,a(3)=61} ogf] A159926 3.26372 [{a(n+1)+(-n-6)*a(n+2)+(n+7)*a(n+3)-a(n+4),a(0)=1,a(1)=4,a(2)=16,a(3)=77} ogf] A159928 3.47812 [{(-n-4)*a(n+1)+(n^2+9*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=15} ogf] A159938 20.7337 [-(3+4*x^2+x)/(-1+x)/(2*x^2-x+1) lgdogf] A159938 4.90438 [(896*f(x)+1093)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+2*x-2) ogf] A159938 9.52445 [2*(2*x^2-x+1)/(x-1)^4 ogf] A159940 10.5390 [2*(x^3+3*x^2+2)/(x-1)^4 ogf] A159940 19.8604 [-(8+6*x+x^3+9*x^2)/(x-1)/(x^3+3*x^2+2) lgdogf] A159940 4.25054 [{(-5*n^2-26*n-32)*a(n+1)+(4*n^2-5*n-58)*a(n+2)+(n^2+13*n+30)*a(n+3),a(0)=4,a(1)=16,a(2)=46} ogf] A159940 5.53488 [(2656*f(x)+6161)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-6*x^2+f(x)-4) ogf] A159941 22.1029 [(8+11*x+2*x^2)/(2+x)/(2*x+1) lgdegf] A159941 4.52048 [(1328*f(x)+6161)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-12*x^2+f(x)-8) ogf] A159941 8.55227 [4*(x^3+3*x^2+2)/(x-1)^4 ogf] A159943 45.1008 [-38+1058*x+f(x) lgdegf] A159943 5.24193 [{(1058*n+2116)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=386} ogf] A159946 45.1008 [-40+1058*x+f(x) lgdegf] A159946 5.24193 [{(1058*n+2116)*a(n+1)+a(n+3)-40*a(n+2),a(0)=1,a(1)=40,a(2)=542} ogf] A159947 45.2856 [-42+1058*x+f(x) lgdegf] A159947 5.24193 [{(1058*n+2116)*a(n+1)+a(n+3)-42*a(n+2),a(0)=1,a(1)=42,a(2)=706} ogf] A159948 44.9160 [-44+1058*x+f(x) lgdegf] A159948 5.22027 [{(1058*n+2116)*a(n+1)+a(n+3)-44*a(n+2),a(0)=1,a(1)=44,a(2)=878} ogf] A159949 5.25515 [{(-288*n-576)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-287} ogf] A159949 50.9978 [-1+288*x+f(x) lgdegf] A159954 5.34654 [{(-288*n-576)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=-263} ogf] A159954 51.8695 [-5+288*x+f(x) lgdegf] A159955 7.35219 [-x*(x^5-x^4+2*x^3-x^2+x+1)/(x-1)/(x^6+x^3+1) ogf] A159955 7.73708 [-(2-2*x-4*x^10+10*x^9-12*x^8+12*x^7+3*x^6-12*x^5+2*x^11+12*x^4+4*x^2-6*x^3)/(x-1)/(x^5-x^4+2*x^3-x^2+x+1)/(x^6+x^3+1) lgdogf] A159956 5.24272 [-x*(2*x^11-x^10-x^9+3*x^8-2*x^6+2*x^5+2*x^4-2*x^3+x^2+x+1)/(x-1)/(x^4+1)/(x^8+1) ogf] A159964 13.5510 [-(4*x-1)/(2*x-1)^2 ogf] A159964 20.8010 [-1/8*(-1-4*x+(1-8*x)^(1/2))/(1+x) revogf] A159964 34.3217 [-8*x/(4*x-1)/(2*x-1) lgdogf] A159964 7.52831 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=0} ogf] A159964 9.67926 [4*f(x)*x^2-4*f(x)*x+f(x)+4*x-1 ogf] A159966 12.4012 [x*(3*x^2-4*x+3)/(x^2+1)/(x-1)^2 ogf] A159966 15.9360 [-2*(1-2*x+3*x^4-6*x^3+8*x^2)/(x-1)/(x^2+1)/(3*x^2-4*x+3) lgdogf] A159966 4.64250 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=3,a(2)=2,a(3)=1} ogf] A159966 6.70583 [(38*f(x)+53)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-3*x^3-2*f(x)*x+4*x^2+f(x)-3*x) ogf] A159967 5.25515 [{(-288*n-576)*a(n+1)-a(n+3)+7*a(n+2),a(0)=1,a(1)=7,a(2)=-239} ogf] A159967 51.2157 [-7+288*x+f(x) lgdegf] A159968 48.1646 [-11+288*x+f(x) lgdegf] A159968 5.26167 [{(288*n+576)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-167} ogf] A159969 48.7717 [-13+288*x+f(x) lgdegf] A159969 5.30665 [{(288*n+576)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=-119} ogf] A159972 5.5494 [-f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x^2-f(x)^2-f(x)*x-x^2+f(x)+2*x ogf] A159972 9.47554 [(-(4*x+1)^(1/2)+2*x*(4*x+1)^(1/2)+x^2+2*x+1)/x/(x-2)/(4*x+1)^(1/2)/(x+1) lgdogf] A159991 15.9094 [-60*f(x)*x+f(x)-1 ogf] A159991 22.4320 [-1/(60*x-1) ogf] A159991 32.1965 [1/60*ln(1+60*x) revegf] A159991 37.1498 [-60/(-1+60*x) lgdogf] A159991 9.31140 [{a(n+1)-60*a(n),a(0)=1} ogf] A159996 47.5575 [-17+288*x+f(x) lgdegf] A159996 5.30085 [{(288*n+576)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=1} ogf] A159997 48.1646 [-19+288*x+f(x) lgdegf] A159997 5.30377 [{(288*n+576)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=73} ogf] A159998 47.9622 [-23+288*x+f(x) lgdegf] A159998 5.28416 [{(288*n+576)*a(n+1)+a(n+3)-23*a(n+2),a(0)=1,a(1)=23,a(2)=241} ogf] A160003 48.5203 [-2+1250*x+f(x) lgdegf] A160003 5.26137 [{(-1250*n-2500)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-1246} ogf] A160004 48.9164 [-4+1250*x+f(x) lgdegf] A160004 5.30503 [{(-1250*n-2500)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-1234} ogf] A160005 49.5105 [-6+1250*x+f(x) lgdegf] A160005 5.37053 [{(-1250*n-2500)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-1214} ogf] A160008 49.5105 [-8+1250*x+f(x) lgdegf] A160008 5.37053 [{(-1250*n-2500)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-1186} ogf] A160010 46.3947 [-12+1250*x+f(x) lgdegf] A160010 5.30876 [{(-1250*n-2500)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-1106} ogf] A160011 45.8402 [-14+1250*x+f(x) lgdegf] A160011 5.24428 [{(1250*n+2500)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=-1054} ogf] A160012 45.6553 [-16+1250*x+f(x) lgdegf] A160012 5.26359 [{(-1250*n-2500)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-994} ogf] A160013 45.2856 [-18+1250*x+f(x) lgdegf] A160013 5.24193 [{(1250*n+2500)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=-926} ogf] A160016 7.70538 [-(1+8*x+30*x^6+36*x^5+4*x^9+3*x^8+16*x^7+12*x^4+18*x^2+32*x^3)/(x-1)/(x+1)/(x^2+1)/(2*x^6+x^5+4*x^4+6*x^3+4*x^2+x+2) lgdogf] A160016 9.74897 [x*(2*x^6+x^5+4*x^4+6*x^3+4*x^2+x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A160037 45.4705 [-22+1250*x+f(x) lgdegf] A160037 5.26359 [{(1250*n+2500)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-766} ogf] A160038 45.6553 [-24+1250*x+f(x) lgdegf] A160038 5.28525 [{(-1250*n-2500)*a(n+1)-a(n+3)+24*a(n+2),a(0)=1,a(1)=24,a(2)=-674} ogf] A160041 7.83422 [-(x-1)*(53*x^4+126*x^3+251*x^2+126*x+53)/(x^6-6*x^3+1) ogf] A160050 5.85468 [x*(x^7-2*x^6+3*x^5-5*x^4-2*x-1)/(x-1)^3/(x^2+1)^3 ogf] A160050 7.97537 [-(-5+2*x-8*x^5+20*x^4-36*x^3-15*x^6+8*x^7-5*x^8+x^2+2*x^9)/(x-1)/(x^2+1)/(x^7-2*x^6+3*x^5-5*x^4-2*x-1) lgdogf] A160055 7.91065 [-(x-1)*(65*x^4+154*x^3+303*x^2+154*x+65)/(x^6-6*x^3+1) ogf] A160059 45.4705 [-26+1250*x+f(x) lgdegf] A160059 5.26359 [{(1250*n+2500)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-574} ogf] A160060 45.8402 [-28+1250*x+f(x) lgdegf] A160060 5.28525 [{(1250*n+2500)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=-466} ogf] A160061 46.0250 [-32+1250*x+f(x) lgdegf] A160061 5.30691 [{(-1250*n-2500)*a(n+1)-a(n+3)+32*a(n+2),a(0)=1,a(1)=32,a(2)=-226} ogf] A160062 45.4705 [-34+1250*x+f(x) lgdegf] A160062 5.30503 [{(1250*n+2500)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=-94} ogf] A160063 45.2856 [-36+1250*x+f(x) lgdegf] A160063 5.30503 [{(1250*n+2500)*a(n+1)+a(n+3)-36*a(n+2),a(0)=1,a(1)=36,a(2)=46} ogf] A160064 45.8402 [-38+1250*x+f(x) lgdegf] A160064 5.30691 [{(1250*n+2500)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=194} ogf] A160065 45.8402 [-42+1250*x+f(x) lgdegf] A160065 5.32857 [{(1250*n+2500)*a(n+1)+a(n+3)-42*a(n+2),a(0)=1,a(1)=42,a(2)=514} ogf] A160066 45.6553 [-44+1250*x+f(x) lgdegf] A160066 5.28525 [{(1250*n+2500)*a(n+1)+a(n+3)-44*a(n+2),a(0)=1,a(1)=44,a(2)=686} ogf] A160067 39.1765 [-46+1250*x+f(x) lgdegf] A160067 4.52752 [{(1250*n+2500)*a(n+1)+a(n+3)-46*a(n+2),a(0)=1,a(1)=46,a(2)=866} ogf] A160068 39.1765 [-48+1250*x+f(x) lgdegf] A160068 4.49243 [{(1250*n+2500)*a(n+1)+a(n+3)-48*a(n+2),a(0)=1,a(1)=48,a(2)=1054} ogf] A160069 5.41509 [{(338*n+676)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-337} ogf] A160069 52.5234 [-1+338*x+f(x) lgdegf] A160070 5.46078 [{(338*n+676)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=-329} ogf] A160070 52.9592 [-3+338*x+f(x) lgdegf] A160071 5.41509 [{(-338*n-676)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=-313} ogf] A160071 52.5234 [-5+338*x+f(x) lgdegf] A160072 5.39224 [{(338*n+676)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-289} ogf] A160072 52.3054 [-7+338*x+f(x) lgdegf] A160073 5.41509 [{(338*n+676)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-257} ogf] A160073 52.5234 [-9+338*x+f(x) lgdegf] A160074 49.1764 [-11+338*x+f(x) lgdegf] A160074 5.35162 [{(338*n+676)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-217} ogf] A160075 49.3788 [-15+338*x+f(x) lgdegf] A160075 5.39659 [{(338*n+676)*a(n+1)+a(n+3)-15*a(n+2),a(0)=1,a(1)=15,a(2)=-113} ogf] A160076 49.3788 [-17+338*x+f(x) lgdegf] A160076 5.41710 [{(338*n+676)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=-49} ogf] A160077 49.3788 [-19+338*x+f(x) lgdegf] A160077 5.43976 [{(338*n+676)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=23} ogf] A160079 6.65652 [x*(2*x^10+x^9+4*x^8+3*x^7+5*x^6+4*x^5+4*x^4+3*x^3+2*x^2+4*x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A160080 6.98203 [x*(3*x^10+x^9+2*x^8+7*x^7+11*x^6+4*x^5+9*x^4+3*x^3+2*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A160082 49.3788 [-21+338*x+f(x) lgdegf] A160082 5.39659 [{(338*n+676)*a(n+1)+a(n+3)-21*a(n+2),a(0)=1,a(1)=21,a(2)=103} ogf] A160083 49.1764 [-23+338*x+f(x) lgdegf] A160083 5.39659 [{(338*n+676)*a(n+1)+a(n+3)-23*a(n+2),a(0)=1,a(1)=23,a(2)=191} ogf] A160084 49.1764 [-25+338*x+f(x) lgdegf] A160084 5.39659 [{(338*n+676)*a(n+1)+a(n+3)-25*a(n+2),a(0)=1,a(1)=25,a(2)=287} ogf] A160087 4.54185 [{(-1458*n-2916)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=-1454} ogf] A160087 41.7813 [-2+1458*x+f(x) lgdegf] A160088 4.62714 [{(-1458*n-2916)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-1442} ogf] A160088 42.5551 [-4+1458*x+f(x) lgdegf] A160090 7.48849 [-(x-1)*(485*x^4+1054*x^3+1743*x^2+1054*x+485)/(x^6-6*x^3+1) ogf] A160093 32.9752 [-x^18+x^9+1 ogf_with_Euler_transform] A160098 6.93861 [-(x-1)*(425*x^4+1026*x^3+2287*x^2+1026*x+425)/(x^6-6*x^3+1) ogf] A160103 4.62714 [{(-1458*n-2916)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-1394} ogf] A160103 42.5551 [-8+1458*x+f(x) lgdegf] A160104 4.59739 [{(-1458*n-2916)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-1358} ogf] A160104 40.0791 [-10+1458*x+f(x) lgdegf] A160107 39.8986 [-14+1458*x+f(x) lgdegf] A160107 4.57640 [{(-1458*n-2916)*a(n+1)-a(n+3)+14*a(n+2),a(0)=1,a(1)=14,a(2)=-1262} ogf] A160108 6.92556 [x*(7*x^10+x^9+6*x^8+3*x^7+11*x^6+8*x^5+5*x^4+3*x^3+2*x^2+9*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A160117 10.9426 [-(9+17*x+5*x^5+45*x^4+22*x^3+70*x^2)/(-1+x)/(x+1)/(x^2+1)/(4*x^3+x^2+8*x+1) lgdogf] A160117 7.85196 [-x*(x^2+1)*(4*x^3+x^2+8*x+1)/(x+1)^2/(x-1)^3 ogf] A160128 10.6839 [-(-7+39*x+16*x^3-72*x^2)/(-1+x)/(4*x-1)/(4*x^2-11*x+3) lgdogf] A160128 5.12585 [(89*f(x)+168)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-11*x+3) ogf] A160128 5.21657 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=3,a(1)=7,a(2)=19} ogf] A160128 9.50761 [-(4*x^2-11*x+3)/(4*x-1)/(x-1)^2 ogf] A160131 46.2098 [-16+1458*x+f(x) lgdegf] A160131 5.30876 [{(-1458*n-2916)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-1202} ogf] A160132 39.3570 [-20+1458*x+f(x) lgdegf] A160132 4.53441 [{(-1458*n-2916)*a(n+1)-a(n+3)+20*a(n+2),a(0)=1,a(1)=20,a(2)=-1058} ogf] A160139 39.5375 [-22+1458*x+f(x) lgdegf] A160139 4.56984 [{(1458*n+2916)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-974} ogf] A160140 39.1765 [-26+1458*x+f(x) lgdegf] A160140 4.54868 [{(1458*n+2916)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-782} ogf] A160141 46.2098 [-28+1458*x+f(x) lgdegf] A160141 5.35023 [{(1458*n+2916)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=-674} ogf] A160142 4.63330 [{(1458*n+2916)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=-434} ogf] A160142 40.0791 [-32+1458*x+f(x) lgdegf] A160146 4.63330 [{(1458*n+2916)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=-302} ogf] A160146 40.2597 [-34+1458*x+f(x) lgdegf] A160147 39.7181 [-38+1458*x+f(x) lgdegf] A160147 4.62714 [{(1458*n+2916)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=-14} ogf] A160148 4.63330 [{(1458*n+2916)*a(n+1)+a(n+3)-40*a(n+2),a(0)=1,a(1)=40,a(2)=142} ogf] A160148 40.0791 [-40+1458*x+f(x) lgdegf] A160150 39.5375 [-44+1458*x+f(x) lgdegf] A160150 4.56984 [{(1458*n+2916)*a(n+1)+a(n+3)-44*a(n+2),a(0)=1,a(1)=44,a(2)=478} ogf] A160151 39.5375 [-46+1458*x+f(x) lgdegf] A160151 4.59099 [{(1458*n+2916)*a(n+1)+a(n+3)-46*a(n+2),a(0)=1,a(1)=46,a(2)=658} ogf] A160152 39.8986 [-50+1458*x+f(x) lgdegf] A160152 4.57640 [{(1458*n+2916)*a(n+1)+a(n+3)-50*a(n+2),a(0)=1,a(1)=50,a(2)=1042} ogf] A160153 4.59739 [{(1458*n+2916)*a(n+1)+a(n+3)-52*a(n+2),a(0)=1,a(1)=52,a(2)=1246} ogf] A160153 40.0791 [-52+1458*x+f(x) lgdegf] A160154 4.14801 [{a(n+4)-12*a(n+3)+21*a(n+2)-10*a(n+1),a(0)=0,a(1)=1,a(2)=82,a(3)=973} ogf] A160154 4.30513 [-(13509*f(x)-39050)*(10*f(x)*x^3-21*f(x)*x^2+10*x^3+12*f(x)*x+70*x^2-f(x)+x) ogf] A160154 8.11824 [-x*(10*x^2+70*x+1)/(10*x-1)/(x-1)^2 ogf] A160154 9.48209 [-2*(-41-30*x+750*x^2+50*x^3)/(x-1)/(10*x-1)/(10*x^2+70*x+1) lgdogf] A160156 12.1725 [(2*x-1)/(4*x-1)/(x-1)^2 ogf] A160156 16.6429 [-2*(2-7*x+8*x^2)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A160156 5.70924 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A160156 6.08627 [(569*f(x)+96)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-2*x+1) ogf] A160168 6.85823 [(x^11+3*x^10+4*x^9+2*x^8+4*x^7+3*x^6+4*x^5+5*x^4+4*x^3+x+2)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A160169 7.17147 [(x^11+5*x^10+4*x^9+9*x^8+3*x^7+2*x^6+11*x^5+7*x^4+3*x^2+x+2)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A160174 13.7276 [-(93+625*x+415*x^2+19*x^3)/(x-1)/(19*x^3+179*x^2+89*x+1) lgdogf] A160174 5.11668 [(115296*f(x)+10999915)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-19*x^3-4*f(x)*x-179*x^2+f(x)-89*x-1) ogf] A160174 9.66484 [(19*x^3+179*x^2+89*x+1)/(x-1)^4 ogf] A160175 14.9609 [-1/(2*x^4+2*x^3+2*x^2+2*x-1) ogf] A160175 14.9949 [-2*(1+2*x+4*x^3+3*x^2)/(2*x^2-1+2*x+2*x^4+2*x^3) lgdogf] A160175 6.26568 [(9*f(x)-5)*(2*f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A160176 7.05239 [-(x-1)*(533*x^4+1150*x^3+1883*x^2+1150*x+533)/(x^6-6*x^3+1) ogf] A160184 5.46078 [{(392*n+784)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-391} ogf] A160184 52.9592 [-1+392*x+f(x) lgdegf] A160186 11.4970 [-(1+5*x+8*x^5+16*x^3+x^7+3*x^6+6*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+2*x^2-x+2) lgdogf] A160186 11.7192 [(x^4+x^3+2*x^2-x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A160191 6.74911 [(x^11+5*x^10+4*x^9+9*x^8+3*x^7+6*x^6+11*x^5+7*x^4+4*x^3+3*x^2+x+2)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A160192 5.50648 [{(-392*n-784)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=-383} ogf] A160192 53.3951 [-3+392*x+f(x) lgdegf] A160193 100.377 [5-392*x lgdegf] A160193 5.57502 [{(392*n+784)*a(n+1)+a(n+3)-5*a(n+2),a(0)=1,a(1)=5,a(2)=-367} ogf] A160194 5.48363 [{(392*n+784)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-311} ogf] A160194 53.3951 [-9+392*x+f(x) lgdegf] A160195 4.77502 [{(392*n+784)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-271} ogf] A160195 43.7673 [-11+392*x+f(x) lgdegf] A160196 5.48653 [{(392*n+784)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=-223} ogf] A160196 50.1883 [-13+392*x+f(x) lgdegf] A160197 4.75301 [{(392*n+784)*a(n+1)+a(n+3)-15*a(n+2),a(0)=1,a(1)=15,a(2)=-167} ogf] A160197 43.5693 [-15+392*x+f(x) lgdegf] A160200 7.00800 [-(x-1)*(541*x^4+1302*x^3+2767*x^2+1302*x+541)/(x^6-6*x^3+1) ogf] A160203 7.04269 [-(x-1)*(641*x^4+1450*x^3+2555*x^2+1450*x+641)/(x^6-6*x^3+1) ogf] A160206 7.07738 [-(x-1)*(697*x^4+1554*x^3+2671*x^2+1554*x+697)/(x^6-6*x^3+1) ogf] A160209 7.07738 [-(x-1)*(673*x^4+1610*x^3+3295*x^2+1610*x+673)/(x^6-6*x^3+1) ogf] A160212 7.11207 [-(x-1)*(845*x^4+1798*x^3+2891*x^2+1798*x+845)/(x^6-6*x^3+1) ogf] A160219 4.70900 [{(392*n+784)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=-103} ogf] A160219 43.1732 [-17+392*x+f(x) lgdegf] A160220 5.55309 [{(392*n+784)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=-31} ogf] A160220 50.3907 [-19+392*x+f(x) lgdegf] A160221 49.9859 [-23+392*x+f(x) lgdegf] A160221 5.48653 [{(392*n+784)*a(n+1)+a(n+3)-23*a(n+2),a(0)=1,a(1)=23,a(2)=137} ogf] A160222 4.77502 [{(392*n+784)*a(n+1)+a(n+3)-25*a(n+2),a(0)=1,a(1)=25,a(2)=233} ogf] A160222 43.5693 [-25+392*x+f(x) lgdegf] A160223 4.75301 [{(392*n+784)*a(n+1)+a(n+3)-27*a(n+2),a(0)=1,a(1)=27,a(2)=337} ogf] A160223 43.3712 [-27+392*x+f(x) lgdegf] A160224 4.62714 [{(1682*n+3364)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=-1678} ogf] A160224 42.5551 [-2+1682*x+f(x) lgdegf] A160225 4.69111 [{(-1682*n-3364)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-1666} ogf] A160225 43.1354 [-4+1682*x+f(x) lgdegf] A160226 4.69111 [{(-1682*n-3364)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-1646} ogf] A160226 43.1354 [-6+1682*x+f(x) lgdegf] A160231 4.71243 [{(-1682*n-3364)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-1618} ogf] A160231 43.3288 [-8+1682*x+f(x) lgdegf] A160236 4.63937 [{(-1682*n-3364)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-1582} ogf] A160236 40.4402 [-10+1682*x+f(x) lgdegf] A160237 4.63937 [{(-1682*n-3364)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-1538} ogf] A160237 40.4402 [-12+1682*x+f(x) lgdegf] A160246 4.61838 [{(1682*n+3364)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=-1486} ogf] A160246 40.2597 [-14+1682*x+f(x) lgdegf] A160250 5.82406 [(3165696*f(x)+364224835)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-43*x^3-4*f(x)*x-251*x^2+f(x)-89*x-1) ogf] A160250 6.91720 [(43*x^3+251*x^2+89*x+1)/(x-1)^4 ogf] A160251 4.59739 [{(-1682*n-3364)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-1426} ogf] A160251 40.0791 [-16+1682*x+f(x) lgdegf] A160252 39.8986 [-18+1682*x+f(x) lgdegf] A160252 4.59739 [{(-1682*n-3364)*a(n+1)-a(n+3)+18*a(n+2),a(0)=1,a(1)=18,a(2)=-1358} ogf] A160253 4.61838 [{(-1682*n-3364)*a(n+1)-a(n+3)+20*a(n+2),a(0)=1,a(1)=20,a(2)=-1282} ogf] A160253 40.0791 [-20+1682*x+f(x) lgdegf] A160259 4.61838 [{(1682*n+3364)*a(n+1)+a(n+3)-22*a(n+2),a(0)=1,a(1)=22,a(2)=-1198} ogf] A160259 40.0791 [-22+1682*x+f(x) lgdegf] A160260 4.66036 [{(1682*n+3364)*a(n+1)+a(n+3)-24*a(n+2),a(0)=1,a(1)=24,a(2)=-1106} ogf] A160260 40.6208 [-24+1682*x+f(x) lgdegf] A160261 4.66036 [{(1682*n+3364)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-1006} ogf] A160261 40.4402 [-26+1682*x+f(x) lgdegf] A160263 4.67562 [{(1682*n+3364)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=-898} ogf] A160263 40.2597 [-28+1682*x+f(x) lgdegf] A160269 4.67562 [{(1682*n+3364)*a(n+1)+a(n+3)-30*a(n+2),a(0)=1,a(1)=30,a(2)=-782} ogf] A160269 40.2597 [-30+1682*x+f(x) lgdegf] A160270 4.65446 [{(1682*n+3364)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=-658} ogf] A160270 40.2597 [-32+1682*x+f(x) lgdegf] A160279 4.65446 [{(1682*n+3364)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=-526} ogf] A160279 40.2597 [-34+1682*x+f(x) lgdegf] A160280 4.65446 [{(1682*n+3364)*a(n+1)+a(n+3)-36*a(n+2),a(0)=1,a(1)=36,a(2)=-386} ogf] A160280 40.4402 [-36+1682*x+f(x) lgdegf] A160281 4.65446 [{(1682*n+3364)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=-238} ogf] A160281 40.4402 [-38+1682*x+f(x) lgdegf] A160282 4.71243 [{(1682*n+3364)*a(n+1)+a(n+3)-40*a(n+2),a(0)=1,a(1)=40,a(2)=-82} ogf] A160282 40.4402 [-40+1682*x+f(x) lgdegf] A160283 4.66979 [{(1682*n+3364)*a(n+1)+a(n+3)-42*a(n+2),a(0)=1,a(1)=42,a(2)=82} ogf] A160283 40.0791 [-42+1682*x+f(x) lgdegf] A160284 4.71793 [{(1682*n+3364)*a(n+1)+a(n+3)-44*a(n+2),a(0)=1,a(1)=44,a(2)=254} ogf] A160284 40.8013 [-44+1682*x+f(x) lgdegf] A160285 4.69677 [{(1682*n+3364)*a(n+1)+a(n+3)-46*a(n+2),a(0)=1,a(1)=46,a(2)=434} ogf] A160285 40.6208 [-46+1682*x+f(x) lgdegf] A160286 4.71793 [{(1682*n+3364)*a(n+1)+a(n+3)-48*a(n+2),a(0)=1,a(1)=48,a(2)=622} ogf] A160286 40.6208 [-48+1682*x+f(x) lgdegf] A160287 4.73909 [{(1682*n+3364)*a(n+1)+a(n+3)-50*a(n+2),a(0)=1,a(1)=50,a(2)=818} ogf] A160287 40.8013 [-50+1682*x+f(x) lgdegf] A160288 4.72334 [{(1682*n+3364)*a(n+1)+a(n+3)-52*a(n+2),a(0)=1,a(1)=52,a(2)=1022} ogf] A160288 41.1624 [-52+1682*x+f(x) lgdegf] A160289 4.72334 [{(1682*n+3364)*a(n+1)+a(n+3)-54*a(n+2),a(0)=1,a(1)=54,a(2)=1234} ogf] A160289 41.1624 [-54+1682*x+f(x) lgdegf] A160290 4.68136 [{(1682*n+3364)*a(n+1)+a(n+3)-56*a(n+2),a(0)=1,a(1)=56,a(2)=1454} ogf] A160290 40.8013 [-56+1682*x+f(x) lgdegf] A160291 5.55218 [{(450*n+900)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-449} ogf] A160291 53.8310 [-1+450*x+f(x) lgdegf] A160292 100.781 [7-450*x lgdegf] A160292 5.59787 [{(450*n+900)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-401} ogf] A160293 5.55399 [{(450*n+900)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-329} ogf] A160293 50.7954 [-11+450*x+f(x) lgdegf] A160294 4.79702 [{(450*n+900)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=-281} ogf] A160294 43.9654 [-13+450*x+f(x) lgdegf] A160295 4.75301 [{(450*n+900)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=-161} ogf] A160295 43.3712 [-17+450*x+f(x) lgdegf] A160296 4.87976 [{(450*n+900)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=-89} ogf] A160296 44.3614 [-19+450*x+f(x) lgdegf] A160297 4.83540 [{(450*n+900)*a(n+1)+a(n+3)-23*a(n+2),a(0)=1,a(1)=23,a(2)=79} ogf] A160297 43.7673 [-23+450*x+f(x) lgdegf] A160298 4.84103 [{(450*n+900)*a(n+1)+a(n+3)-29*a(n+2),a(0)=1,a(1)=29,a(2)=391} ogf] A160298 44.1634 [-29+450*x+f(x) lgdegf] A160299 4.77640 [{(1922*n+3844)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=-1918} ogf] A160299 43.9091 [-2+1922*x+f(x) lgdegf] A160300 4.79772 [{(-1922*n-3844)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=-1906} ogf] A160300 44.1025 [-4+1922*x+f(x) lgdegf] A160301 4.79772 [{(-1922*n-3844)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=-1886} ogf] A160301 44.1025 [-6+1922*x+f(x) lgdegf] A160302 4.77640 [{(-1922*n-3844)*a(n+1)-a(n+3)+8*a(n+2),a(0)=1,a(1)=8,a(2)=-1858} ogf] A160302 43.9091 [-8+1922*x+f(x) lgdegf] A160303 4.70235 [{(-1922*n-3844)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=-1822} ogf] A160303 40.9818 [-10+1922*x+f(x) lgdegf] A160304 4.70235 [{(-1922*n-3844)*a(n+1)-a(n+3)+12*a(n+2),a(0)=1,a(1)=12,a(2)=-1778} ogf] A160304 40.9818 [-12+1922*x+f(x) lgdegf] A160305 4.68136 [{(1922*n+3844)*a(n+1)+a(n+3)-14*a(n+2),a(0)=1,a(1)=14,a(2)=-1726} ogf] A160305 40.8013 [-14+1922*x+f(x) lgdegf] A160306 4.68136 [{(-1922*n-3844)*a(n+1)-a(n+3)+16*a(n+2),a(0)=1,a(1)=16,a(2)=-1666} ogf] A160306 40.8013 [-16+1922*x+f(x) lgdegf] A160307 4.63937 [{(1922*n+3844)*a(n+1)+a(n+3)-18*a(n+2),a(0)=1,a(1)=18,a(2)=-1598} ogf] A160307 40.4402 [-18+1922*x+f(x) lgdegf] A160308 4.68136 [{(-1922*n-3844)*a(n+1)-a(n+3)+20*a(n+2),a(0)=1,a(1)=20,a(2)=-1522} ogf] A160308 40.8013 [-20+1922*x+f(x) lgdegf] A160309 4.72334 [{(-1922*n-3844)*a(n+1)-a(n+3)+22*a(n+2),a(0)=1,a(1)=22,a(2)=-1438} ogf] A160309 40.9818 [-22+1922*x+f(x) lgdegf] A160310 4.70235 [{(-1922*n-3844)*a(n+1)-a(n+3)+24*a(n+2),a(0)=1,a(1)=24,a(2)=-1346} ogf] A160310 40.9818 [-24+1922*x+f(x) lgdegf] A160311 4.70235 [{(1922*n+3844)*a(n+1)+a(n+3)-26*a(n+2),a(0)=1,a(1)=26,a(2)=-1246} ogf] A160311 40.9818 [-26+1922*x+f(x) lgdegf] A160312 4.74433 [{(1922*n+3844)*a(n+1)+a(n+3)-28*a(n+2),a(0)=1,a(1)=28,a(2)=-1138} ogf] A160312 41.1624 [-28+1922*x+f(x) lgdegf] A160313 4.76533 [{(1922*n+3844)*a(n+1)+a(n+3)-30*a(n+2),a(0)=1,a(1)=30,a(2)=-1022} ogf] A160313 41.3429 [-30+1922*x+f(x) lgdegf] A160314 4.76024 [{(1922*n+3844)*a(n+1)+a(n+3)-32*a(n+2),a(0)=1,a(1)=32,a(2)=-898} ogf] A160314 40.9818 [-32+1922*x+f(x) lgdegf] A160315 4.78140 [{(1922*n+3844)*a(n+1)+a(n+3)-34*a(n+2),a(0)=1,a(1)=34,a(2)=-766} ogf] A160315 41.3429 [-34+1922*x+f(x) lgdegf] A160316 4.80255 [{(1922*n+3844)*a(n+1)+a(n+3)-36*a(n+2),a(0)=1,a(1)=36,a(2)=-626} ogf] A160316 41.5234 [-36+1922*x+f(x) lgdegf] A160317 4.76024 [{(1922*n+3844)*a(n+1)+a(n+3)-38*a(n+2),a(0)=1,a(1)=38,a(2)=-478} ogf] A160317 41.3429 [-38+1922*x+f(x) lgdegf] A160328 4.73909 [{(1922*n+3844)*a(n+1)+a(n+3)-40*a(n+2),a(0)=1,a(1)=40,a(2)=-322} ogf] A160328 41.1624 [-40+1922*x+f(x) lgdegf] A160329 4.76024 [{(1922*n+3844)*a(n+1)+a(n+3)-42*a(n+2),a(0)=1,a(1)=42,a(2)=-158} ogf] A160329 41.1624 [-42+1922*x+f(x) lgdegf] A160330 4.77640 [{(1922*n+3844)*a(n+1)+a(n+3)-44*a(n+2),a(0)=1,a(1)=44,a(2)=14} ogf] A160330 40.8013 [-44+1922*x+f(x) lgdegf] A160333 8.30255 [-(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^9+x^7+x^5+x^3-x^2+x-1) ogf] A160334 4.76024 [{(1922*n+3844)*a(n+1)+a(n+3)-46*a(n+2),a(0)=1,a(1)=46,a(2)=194} ogf] A160334 41.1624 [-46+1922*x+f(x) lgdegf] A160335 4.76024 [{(1922*n+3844)*a(n+1)+a(n+3)-48*a(n+2),a(0)=1,a(1)=48,a(2)=382} ogf] A160335 41.1624 [-48+1922*x+f(x) lgdegf] A160336 4.73909 [{(1922*n+3844)*a(n+1)+a(n+3)-50*a(n+2),a(0)=1,a(1)=50,a(2)=578} ogf] A160336 40.9818 [-50+1922*x+f(x) lgdegf] A160338 15.7348 [(x^103+x^102-1)/(x^102+x-1) ogf] A160338 23.7238 [(-1+104*x^101+104*x^102)/(-1+x+104*x^101) lgdogf] A160338 76.0965 [[1] ogf_with_Euler_transform] A160343 2.06978 [-(f(x)*x+10*f(x)-21*x-10)*(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A160344 4.80255 [{(1922*n+3844)*a(n+1)+a(n+3)-52*a(n+2),a(0)=1,a(1)=52,a(2)=782} ogf] A160344 41.3429 [-52+1922*x+f(x) lgdegf] A160345 4.78140 [{(1922*n+3844)*a(n+1)+a(n+3)-54*a(n+2),a(0)=1,a(1)=54,a(2)=994} ogf] A160345 41.1624 [-54+1922*x+f(x) lgdegf] A160346 4.78632 [{(1922*n+3844)*a(n+1)+a(n+3)-56*a(n+2),a(0)=1,a(1)=56,a(2)=1214} ogf] A160346 41.7040 [-56+1922*x+f(x) lgdegf] A160347 4.76533 [{(1922*n+3844)*a(n+1)+a(n+3)-58*a(n+2),a(0)=1,a(1)=58,a(2)=1442} ogf] A160347 41.5234 [-58+1922*x+f(x) lgdegf] A160349 4.76533 [{(1922*n+3844)*a(n+1)+a(n+3)-60*a(n+2),a(0)=1,a(1)=60,a(2)=1678} ogf] A160349 41.5234 [-60+1922*x+f(x) lgdegf] A160361 101.591 [1-512*x lgdegf] A160361 5.59842 [{(512*n+1024)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-511} ogf] A160362 102.805 [3-512*x lgdegf] A160362 5.66642 [{(512*n+1024)*a(n+1)+a(n+3)-3*a(n+2),a(0)=1,a(1)=3,a(2)=-503} ogf] A160363 102.805 [5-512*x lgdegf] A160363 5.66642 [{(-512*n-1024)*a(n+1)-a(n+3)+5*a(n+2),a(0)=1,a(1)=5,a(2)=-487} ogf] A160367 2.04192 [(f(x)-1)^2*(-2*x^3+f(x)-1) ogf] A160368 3.02747 [(f(x)-1)^2*(-48*x^3+f(x)-1) ogf] A160372 6.82616 [-4*(3*x^4-14*x^3+28*x^2+70*x+105)/(x-1)^5 ogf] A160372 9.99660 [-(595+336*x+3*x^4-16*x^3+42*x^2)/(x-1)/(3*x^4-14*x^3+28*x^2+70*x+105) lgdogf] A160374 4.92412 [{(512*n+1024)*a(n+1)+a(n+3)-7*a(n+2),a(0)=1,a(1)=7,a(2)=-463} ogf] A160374 48.2004 [-7+512*x+f(x) lgdegf] A160376 4.90194 [{(512*n+1024)*a(n+1)+a(n+3)-9*a(n+2),a(0)=1,a(1)=9,a(2)=-431} ogf] A160376 47.9871 [-9+512*x+f(x) lgdegf] A160378 10.6924 [x^2*(x+5)/(x-1)^4 ogf] A160378 36.5199 [-3*(x+7)/(x+5)/(x-1) lgdogf] A160378 4.95152 [{(5+5*n)*a(n+3)+(-21-4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=5} ogf] A160378 5.1956 [-(65664*f(x)+117181)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-5*x^2+f(x)) ogf] A160379 5.65014 [x*(18*x^3+x^2+26*x+1)*(x^4+4*x^2+1)/(x+1)^3/(x-1)^4 ogf] A160379 7.60893 [-(27+43*x+323*x^6+119*x^5+19*x^7+983*x^4+167*x^3+527*x^2)/(-1+x)/(x+1)/(18*x^3+x^2+26*x+1)/(x^4+4*x^2+1) lgdogf] A160391 4.82474 [{(512*n+1024)*a(n+1)+a(n+3)-11*a(n+2),a(0)=1,a(1)=11,a(2)=-391} ogf] A160391 44.3614 [-11+512*x+f(x) lgdegf] A160396 4.82474 [{(512*n+1024)*a(n+1)+a(n+3)-13*a(n+2),a(0)=1,a(1)=13,a(2)=-343} ogf] A160396 44.5595 [-13+512*x+f(x) lgdegf] A160397 4.89024 [{(512*n+1024)*a(n+1)+a(n+3)-15*a(n+2),a(0)=1,a(1)=15,a(2)=-287} ogf] A160397 44.9556 [-15+512*x+f(x) lgdegf] A160398 4.84657 [{(512*n+1024)*a(n+1)+a(n+3)-17*a(n+2),a(0)=1,a(1)=17,a(2)=-223} ogf] A160398 44.7575 [-17+512*x+f(x) lgdegf] A160411 7.87856 [(x^2+1)*(4*x^3+x^2+8*x+1)/(x-1)^2/(x+1)^2 ogf] A160413 5.06281 [-(36190*f(x)+23731)*(f(x)*x^4-x^4-2*f(x)*x^2-3*x^2+f(x)-x-2) ogf] A160413 8.80151 [(x^4+3*x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A160431 4.86841 [{(512*n+1024)*a(n+1)+a(n+3)-19*a(n+2),a(0)=1,a(1)=19,a(2)=-151} ogf] A160431 44.7575 [-19+512*x+f(x) lgdegf] A160435 4.81902 [{(512*n+1024)*a(n+1)+a(n+3)-21*a(n+2),a(0)=1,a(1)=21,a(2)=-71} ogf] A160435 44.1634 [-21+512*x+f(x) lgdegf] A160436 5.64394 [{(512*n+1024)*a(n+1)+a(n+3)-23*a(n+2),a(0)=1,a(1)=23,a(2)=17} ogf] A160436 51.4025 [-23+512*x+f(x) lgdegf] A160437 4.89024 [{(512*n+1024)*a(n+1)+a(n+3)-25*a(n+2),a(0)=1,a(1)=25,a(2)=113} ogf] A160437 44.9556 [-25+512*x+f(x) lgdegf] A160441 4.89024 [{(512*n+1024)*a(n+1)+a(n+3)-27*a(n+2),a(0)=1,a(1)=27,a(2)=217} ogf] A160441 44.7575 [-27+512*x+f(x) lgdegf] A160442 4.86841 [{(512*n+1024)*a(n+1)+a(n+3)-29*a(n+2),a(0)=1,a(1)=29,a(2)=329} ogf] A160442 44.7575 [-29+512*x+f(x) lgdegf] A160443 4.89024 [{(512*n+1024)*a(n+1)+a(n+3)-31*a(n+2),a(0)=1,a(1)=31,a(2)=449} ogf] A160443 44.9556 [-31+512*x+f(x) lgdegf] A160444 12.3120 [x*(x^2-x-1)/(2*x^4+2*x^2-1) ogf] A160444 13.2150 [-(2*x+1)*(2*x^4-4*x^3-2*x^2-1)/(x^2-x-1)/(2*x^4+2*x^2-1) lgdogf] A160444 7.66357 [(20*f(x)+7)*(2*f(x)*x^4+2*f(x)*x^2-x^3+x^2-f(x)+x) ogf] A160445 46.7379 [-40+882*x+f(x) lgdegf] A160445 5.10855 [{(882*n+1764)*a(n+1)+a(n+3)-40*a(n+2),a(0)=1,a(1)=40,a(2)=718} ogf] A160450 4.87258 [(25877880*f(x)+452871863)*(2304*f(x)*x^4-1728*f(x)*x^3+428*f(x)*x^2+584*x^3-39*f(x)*x-276*x^2+f(x)+34*x-1) ogf] A160450 8.88843 [-(584*x^3-276*x^2+34*x-1)/(4*x-1)/(3*x-1)/(24*x-1)/(8*x-1) ogf] A160451 3.76520 [-8*(15*x^8-13*x^7-61*x^6+52*x^5+95*x^4-65*x^3+41*x^2+134*x+126)/(x+1)^4/(x-1)^5 ogf] A160454 3.79831 [-(249792*x^5-159200*x^4+36984*x^3-3746*x^2+148*x-1)/(12*x-1)/(6*x-1)/(4*x-1)/(8*x-1)/(5*x-1)/(120*x-1) ogf] A160457 15.1096 [-(5*x^2-5*x+2)/(x-1)^3 ogf] A160457 30.1886 [-(1+5*x^2)/(x-1)/(5*x^2-5*x+2) lgdogf] A160457 8.01467 [-(4*f(x)-3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-5*x+2) ogf] A160457 8.22934 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=1,a(2)=2} ogf] A160458 10.2164 [-(8*x^4+10*x^3+10*x^2+10*x+10)/(x^5-1) ogf_with_Euler_transform] A160461 12.6252 [-(x^4+2*x^3+2*x^2+2*x+2)/(x^5-1) ogf_with_Euler_transform] A160462 12.3070 [-(x^4+3*x^3+3*x^2+3*x+3)/(x^5-1) ogf_with_Euler_transform] A160463 11.8902 [-(x^4+4*x^3+4*x^2+4*x+4)/(x^5-1) ogf_with_Euler_transform] A160470 2.82709 [{(-6*n^2-57*n-135)*a(n+1)+(-40*n^2-497*n-1569)*a(n+2)+(20*n+60)*a(n+3),a(0)=4,a(1)=147,a(2)=4095} ogf] A160470 6.21849 [-21*(56+608*x+1080*x^2+320*x^3+5*x^4)/(-1+2*x)/(15*x^4+740*x^3+1860*x^2+696*x+32) lgdegf] A160483 14.0320 [-2*(18+5*x+4*x^2+x^3)/(x+1)/(2*x^3+7*x^2+8*x+11) lgdogf] A160483 4.32891 [(1888*f(x)-18007)*(f(x)*x^4+4*f(x)*x^3+6*f(x)*x^2+2*x^3+4*f(x)*x+7*x^2+f(x)+8*x+11) ogf] A160483 8.04733 [-(2*x^3+7*x^2+8*x+11)/(x+1)^4 ogf] A160484 4.35010 [-(24*x^6+162*x^5+467*x^4+744*x^3+786*x^2+30*x+299)/(x+1)^7 ogf] A160505 8.09358 [-(180*x^5+36*x^4+18*x^3+6*x^2+3*x+1)/(360*x^6-1) ogf] A160517 20.4072 [-2*(1+3*x)/(-1+x)/(x+1) lgdogf] A160517 22.7694 [[2+2*x] ogf_with_Euler_transform] A160517 3.52533 [{(n+3)*a(n+3)-2*a(n+2)+(-7-n)*a(n+1),a(0)=10,a(1)=20,a(2)=50} ogf] A160517 7.31773 [10/(x+1)^2/(x-1)^4 ogf] A160529 10.0634 [-(5+7*x+22*x^5+38*x^6+29*x^3+36*x^4+63*x^2)/(x-1)/(x+1)/(19*x^3+x^2+4*x+1)/(x^2+1) lgdogf] A160529 12.0185 [(19*x^3+x^2+4*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A160534 10.7345 [-(-6*x^6-7*x^5-7*x^4-7*x^3-7*x^2-7*x-7)/(x^7-1) ogf_with_Euler_transform] A160536 10.9679 [-(5-8*x+4*x^5+x^4-10*x^2+14*x^3)/(x-1)/(x^2+x-1)/(2*x^3-x^2+3*x-2) lgdogf] A160536 8.25610 [-x*(2*x^3-x^2+3*x-2)/(x^2+x-1)/(x-1)^3 ogf] A160538 10.2581 [-3*(x+9)*(x+1)/(-1+x)/(x^2+7*x+4) lgdogf] A160538 7.76274 [-8*x*(x^2+7*x+4)/(x-1)^5 ogf] A160542 26.2009 [-x^10+x^9+2 ogf_with_Euler_transform] A160542 6.16375 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160543 24.0289 [2-x^15*(x-1) ogf_with_Euler_transform] A160543 4.50503 [(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A160544 26.3283 [2-x^17*(x-1) ogf_with_Euler_transform] A160545 6.04784 [(x^12+x^11+2*x^10+x^9+3*x^8+2*x^7+x^6+2*x^5+3*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A160551 4.93372 [(4974617600*f(x)+1290416831093)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-60*x^3-4*f(x)*x-501*x^2+f(x)-238*x-1) ogf] A160551 4.97520 [(60*x^3+501*x^2+238*x+1)/(x-1)^4 ogf] A160551 6.48832 [-2*(121+858*x+30*x^3+591*x^2)/(-1+x)/(60*x^3+501*x^2+238*x+1) lgdogf] A160565 10.0109 [2*f(x)^2*x^3+f(x)*x^2-f(x)+1 ogf] A160565 14.5086 [1/2*(-1+(1+4*x^2+8*x^3)^(1/2))/x/(2*x+1) revogf] A160568 11.9245 [-3*f(x)^2*x^3-f(x)*x^2+f(x)-1 ogf] A160568 16.9060 [1/2*(-1+(1+4*x^2+12*x^3)^(1/2))/x/(1+3*x) revogf] A160572 11.9361 [-x*(2+2*x^5-4*x^4+3*x+8*x^2-2*x^3)/(2*x^4+2*x^2-1)/(x^3-x^2+1) lgdogf] A160572 12.3120 [-(x^3-x^2+1)/(2*x^4+2*x^2-1) ogf] A160572 7.15267 [-(268*f(x)-253)*(2*f(x)*x^4+2*f(x)*x^2+x^3-x^2-f(x)+1) ogf] A160574 7.27352 [-(x-1)*(233*x^4+546*x^3+1039*x^2+546*x+233)/(x^6-6*x^3+1) ogf] A160577 7.38100 [-(x-1)*(305*x^4+714*x^3+1355*x^2+714*x+305)/(x^6-6*x^3+1) ogf] A160580 7.41683 [-(x-1)*(325*x^4+782*x^3+1659*x^2+782*x+325)/(x^6-6*x^3+1) ogf] A160583 8.44814 [-(x-1)*(445*x^4+966*x^3+1595*x^2+966*x+445)/(x^6-6*x^3+1) ogf] A160590 8.51130 [-(5*x^8+2*x^7+x^6-4*x^5+3*x^4-4*x^3+3*x^2+2*x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A160642 6.67420 [(2+9*x^5+5*x^4+x^3+126*x^21-42*x^20+10*x^7-126*x^22+42*x^23-22*x^6-3*x^2)/(x-1)/(2*x^23-4*x^22+2*x^21+2*x^7-2*x^6-x^5+x^3-x^2+2*x-2) lgdogf] A160642 8.01876 [-(2*x^23-4*x^22+2*x^21+2*x^7-2*x^6-x^5+x^3-x^2+2*x-2)/(x-1)^2 ogf] A160674 10.1155 [(x+1)*(x^2+58*x+1)/(x-1)^4 ogf] A160674 16.3498 [-(63+295*x+x^3+121*x^2)/(x-1)/(x+1)/(x^2+58*x+1) lgdogf] A160674 4.16211 [{(28*n^2+137*n+162)*a(n+1)+(-56*n^2-280*n-525)*a(n+2)+(28*n^2+143*n+177)*a(n+3),a(0)=1,a(1)=63,a(2)=305} ogf] A160674 5.36325 [(29970*f(x)+1456081)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-59*x^2+f(x)-59*x-1) ogf] A160682 14.9142 [-(x-1)/(x^2-15*x+1) ogf] A160682 15.6809 [-1/2*(-15*x-1+(221*x^2+26*x+1)^(1/2))/(1+x) revogf] A160682 21.0711 [-(14-2*x+x^2)/(x-1)/(x^2-15*x+1) lgdogf] A160682 7.53906 [-(52*f(x)-3)*(f(x)*x^2-15*f(x)*x+f(x)+x-1) ogf] A160682 8.16732 [{a(n+2)-15*a(n+1)+a(n),a(0)=1,a(1)=14} ogf] A160695 13.9599 [-5*x/(x-1)/(x^2-23*x+1) ogf] A160695 19.0424 [-3*(8-16*x+x^2)/(x-1)/(x^2-23*x+1) lgdogf] A160695 5.70534 [{a(n+3)-24*a(n+2)+24*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=120} ogf] A160695 8.30525 [f(x)*x^3-24*f(x)*x^2+24*f(x)*x-f(x)+5*x ogf] A160699 10.4205 [x*(17*x^2+86*x+17)/(x-1)^4 ogf] A160699 18.1676 [-2*(77+146*x+17*x^2)/(x-1)/(17*x^2+86*x+17) lgdogf] A160699 3.78927 [{(-51-17*n)*a(n+4)+(16-69*n)*a(n+3)+(361+69*n)*a(n+2)+(34+17*n)*a(n+1),a(0)=0,a(1)=17,a(2)=154,a(3)=531} ogf] A160699 5.42437 [(53520*f(x)+1870447)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-17*x^3-4*f(x)*x-86*x^2+f(x)-17*x) ogf] A160702 7.42773 [2*f(x)^2*x-f(x)*x-2*x^2-f(x)+1 ogf] A160705 6.00696 [-x^4*(x-1)*(x^2+x+1)*(x^4+x^3-x^2+x+1)/(x+1)^4/(x^2-x+1)^4 ogf] A160705 6.75560 [-(1+5*x^9-2*x-12*x^2-11*x^3+15*x^4-6*x^5-7*x^6-7*x^7+6*x^8)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3-x^2+x+1) lgdogf] A160706 15.8562 [-2*x*(-1+2*x^2-2*x)/(-1+x)/(x+1)/(x^2-x+1) lgdogf] A160706 17.5068 [2*x^5-2*x^2-x ogf_with_Euler_transform] A160706 3.37582 [-(7*f(x)-2)*(f(x)*x^5-f(x)*x^4+f(x)*x^3+x^4+f(x)*x^2-x^3-f(x)*x+f(x)) ogf] A160706 6.62010 [-x^3*(x-1)/(x+1)/(x^2-x+1)^2 ogf] A160737 6.13313 [x*(4*x^4+719*x^3+2334*x^2+719*x+4)/(x-1)^6 ogf] A160737 9.03146 [-(743+8263*x+8*x^4+11493*x^2+2173*x^3)/(x-1)/(4*x^4+719*x^3+2334*x^2+719*x+4) lgdogf] A160739 4.66028 [-(16*x^6+10047*x^5+73047*x^4+73222*x^3+9942*x^2+51*x-5)/(x-1)^7 ogf] A160739 5.41125 [-2*(8+10095*x+8*x^6+10095*x^5+134688*x^4+292538*x^3+134688*x^2)/(x-1)/(16*x^6+10047*x^5+73047*x^4+73222*x^3+9942*x^2+51*x-5) lgdogf] A160741 4.36573 [-(10159*x^6+796098*x^5+4515933*x^4+4516108*x^3+795993*x^2+10194*x-5)/(x-1)^7 ogf] A160743 4.44670 [x*(8*x^6+17529*x^5+248592*x^4+548822*x^3+248592*x^2+17529*x+8)/(x-1)^8 ogf] A160747 12.1977 [-(15+80*x+x^4+90*x^2+24*x^3)/(x-1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A160747 4.98794 [{(-n^2-n)*a(n)+(2*n^2+6*n+34)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=15} ogf] A160747 7.73640 [-(x^4+10*x^3+20*x^2+10*x+1)/(x-1)^5 ogf] A160749 12.8414 [-(x^2+5*x+5)/(x-1)^3 ogf] A160749 24.7803 [-(x+10)*(x+2)/(x-1)/(x^2+5*x+5) lgdogf] A160749 6.52773 [(48037*f(x)-287609)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+5*x+5) ogf] A160749 6.87129 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=20,a(2)=46} ogf] A160750 10.5409 [-(16+92*x+62*x^3+10*x^4+105*x^2)/(x-1)/(10*x^4+11*x^3+24*x^2+11*x+1) lgdogf] A160750 7.38153 [-(10*x^4+11*x^3+24*x^2+11*x+1)/(x-1)^5 ogf] A160755 12.9469 [(-2-15*x^8+8*x^7+7*x^9)/(-1+x)/(x^9-x^8+1) lgdogf] A160755 9.81437 [(x^9-x^8+1)/(x-1)^2 ogf] A160765 11.9798 [-(18+116*x+x^4+135*x^2+30*x^3)/(x-1)/(x^2+3*x+1)/(x^2+10*x+1) lgdogf] A160765 7.59956 [-(x^2+3*x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A160767 11.4330 [-(17+104*x+x^4+28*x^3+120*x^2)/(x-1)/(x^4+12*x^3+28*x^2+12*x+1) lgdogf] A160767 7.49252 [-(x^4+12*x^3+28*x^2+12*x+1)/(x-1)^5 ogf] A160768 10.1019 [-(203+574*x+x^4+46*x^3+336*x^2)/(x-1)/(x^4+21*x^3+91*x^2+98*x+21) lgdogf] A160768 6.76862 [-(x^4+21*x^3+91*x^2+98*x+21)/(x-1)^5 ogf] A160769 6.73460 [-(x^4+22*x^3+97*x^2+101*x+21)/(x-1)^5 ogf] A160769 9.99986 [-(206+598*x+x^4+48*x^3+357*x^2)/(x-1)/(x^4+22*x^3+97*x^2+101*x+21) lgdogf] A160787 6.66792 [-(x^4+23*x^3+103*x^2+104*x+21)/(x-1)^5 ogf] A160787 9.85061 [-(209+622*x+x^4+50*x^3+378*x^2)/(x-1)/(x^4+23*x^3+103*x^2+104*x+21) lgdogf] A160788 4.66504 [-(x^6+48*x^5+449*x^4+1014*x^3+561*x^2+62*x+1)/(x-1)^7 ogf] A160788 6.18530 [-(69+1494*x+1587*x^4+5852*x^3+x^6+102*x^5+5847*x^2)/(x-1)/(x^6+48*x^5+449*x^4+1014*x^3+561*x^2+62*x+1) lgdogf] A160790 10.7645 [-x*(x^2-x-1)/(x+1)^3/(x-1)^4 ogf] A160790 23.9960 [-(-2-6*x-5*x^2+5*x^3)/(x-1)/(x+1)/(x^2-x-1) lgdogf] A160791 11.8421 [(x^2-x-1)/(x-1)^3/(x+1)^3 ogf] A160805 10.2987 [-(5*x^3-13*x^2+10*x-4)/(x-1)^4 ogf] A160805 14.8759 [-(-6+4*x-11*x^2+5*x^3)/(x-1)/(5*x^3-13*x^2+10*x-4) lgdogf] A160805 4.06800 [{(659*n^2+4330*n+6024)*a(n+1)+(-1392*n^2-7833*n-9522)*a(n+2)+(733*n^2+3281*n+3246)*a(n+3),a(0)=4,a(1)=6,a(2)=13} ogf] A160805 5.42401 [-(6656*f(x)+97339)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-13*x^2+f(x)+10*x-4) ogf] A160811 10.0743 [-(x^17-x^16+x^6-x^5+x^3+3*x-5)/(x-1)^2 ogf] A160811 9.04762 [(7-3*x+15*x^17-9*x^5+5*x^4+x^3-31*x^16+4*x^6-3*x^2+16*x^15)/(x-1)/(x^17-x^16+x^6-x^5+x^3+3*x-5) lgdogf] A160815 4.66504 [-(x^6+49*x^5+458*x^4+1023*x^3+562*x^2+62*x+1)/(x-1)^7 ogf] A160815 6.18530 [-(69+1496*x+1619*x^4+5924*x^3+x^6+104*x^5+5879*x^2)/(x-1)/(x^6+49*x^5+458*x^4+1023*x^3+562*x^2+62*x+1) lgdogf] A160816 4.66504 [-(x^6+50*x^5+467*x^4+1032*x^3+563*x^2+62*x+1)/(x-1)^7 ogf] A160816 6.18530 [-(69+1498*x+1651*x^4+5996*x^3+x^6+106*x^5+5911*x^2)/(x-1)/(x^6+50*x^5+467*x^4+1032*x^3+563*x^2+62*x+1) lgdogf] A160817 4.66504 [-(x^6+51*x^5+476*x^4+1041*x^3+564*x^2+62*x+1)/(x-1)^7 ogf] A160817 6.18530 [-(69+1500*x+1683*x^4+6068*x^3+x^6+108*x^5+5943*x^2)/(x-1)/(x^6+51*x^5+476*x^4+1041*x^3+564*x^2+62*x+1) lgdogf] A160823 7.08904 [f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2-f(x)*x+f(x)-1 ogf] A160824 10.7684 [(x-1)*(8*x^4+x^3+5*x^2+6*x+1)/(2*x^2-1) ogf] A160824 9.51909 [(5+2*x-28*x^5+48*x^6+28*x^3-32*x^4-2*x^2)/(x-1)/(2*x^2-1)/(8*x^4+x^3+5*x^2+6*x+1) lgdogf] A160825 10.7505 [(-6-14*x+32*x^5+2*x^4-15*x^2-32*x^3)/(2*x^2-1)/(8*x^4+x^3+5*x^2+6*x+1) lgdogf] A160825 12.3405 [-(8*x^4+x^3+5*x^2+6*x+1)/(2*x^2-1) ogf] A160825 7.49656 [-(1000928*f(x)+2051393)*(8*x^4+2*f(x)*x^2+x^3+5*x^2-f(x)+6*x+1) ogf] A160827 12.2664 [-2*(x^2+x+1)*(x^2+10*x+49)/(x-1)/(2*x^4+7*x^3+33*x^2+13*x+17) lgdogf] A160827 7.77795 [-(2*x^4+7*x^3+33*x^2+13*x+17)/(x-1)^5 ogf] A160828 10.8559 [-3*(59-28*x+3*x^4-12*x^3+58*x^2)/(x-1)/(9*x^4-36*x^3+94*x^2-68*x+49) lgdogf] A160828 7.37320 [-2*(9*x^4-36*x^3+94*x^2-68*x+49)/(x-1)^5 ogf] A160829 4.89904 [-(x^6+40*x^5+305*x^4+612*x^3+337*x^2+44*x+1)/(x-1)^7 ogf] A160829 6.64784 [-(51+938*x+x^6+86*x^5+3521*x^2+3668*x^3+1115*x^4)/(x-1)/(x^6+40*x^5+305*x^4+612*x^3+337*x^2+44*x+1) lgdogf] A160831 4.66504 [-(x^6+57*x^5+530*x^4+1095*x^3+570*x^2+62*x+1)/(x-1)^7 ogf] A160831 6.18530 [-(69+1512*x+1875*x^4+6500*x^3+x^6+120*x^5+6135*x^2)/(x-1)/(x^6+57*x^5+530*x^4+1095*x^3+570*x^2+62*x+1) lgdogf] A160832 16.5405 [-(-3*x^3-x^2-2*x-1)/(x^4-1) ogf_with_Euler_transform] A160832 99.9999 Evaluated at exp(-Pi) 1/4*exp(7/24*Pi)*Pi^(3/4)*2^(1/4)/GAMMA(3/4)^3 A160833 4.66504 [-(x^6+56*x^5+521*x^4+1086*x^3+569*x^2+62*x+1)/(x-1)^7 ogf] A160833 6.18530 [-(69+1510*x+1843*x^4+6428*x^3+x^6+118*x^5+6103*x^2)/(x-1)/(x^6+56*x^5+521*x^4+1086*x^3+569*x^2+62*x+1) lgdogf] A160834 4.66504 [-(x^6+54*x^5+503*x^4+1068*x^3+567*x^2+62*x+1)/(x-1)^7 ogf] A160834 6.18530 [-(69+1506*x+1779*x^4+6284*x^3+x^6+114*x^5+6039*x^2)/(x-1)/(x^6+54*x^5+503*x^4+1068*x^3+567*x^2+62*x+1) lgdogf] A160835 4.89904 [-(x^6+42*x^5+323*x^4+630*x^3+339*x^2+44*x+1)/(x-1)^7 ogf] A160835 6.64784 [-(51+942*x+x^6+90*x^5+3585*x^2+3812*x^3+1179*x^4)/(x-1)/(x^6+42*x^5+323*x^4+630*x^3+339*x^2+44*x+1) lgdogf] A160836 4.66504 [-(x^6+52*x^5+485*x^4+1050*x^3+565*x^2+62*x+1)/(x-1)^7 ogf] A160836 6.18530 [-(69+1502*x+1715*x^4+6140*x^3+x^6+110*x^5+5975*x^2)/(x-1)/(x^6+52*x^5+485*x^4+1050*x^3+565*x^2+62*x+1) lgdogf] A160837 5.14825 [-(x^6+37*x^5+254*x^4+475*x^3+262*x^2+38*x+1)/(x-1)^7 ogf] A160837 7.06251 [-(45+752*x+x^6+80*x^5+947*x^4+2735*x^2+2916*x^3)/(x-1)/(x^6+37*x^5+254*x^4+475*x^3+262*x^2+38*x+1) lgdogf] A160838 5.14825 [-(x^2+6*x+1)*(x^4+32*x^3+70*x^2+32*x+1)/(x-1)^7 ogf] A160838 7.44222 [-(45+754*x+x^6+82*x^5+979*x^4+2767*x^2+2988*x^3)/(x-1)/(x^2+6*x+1)/(x^4+32*x^3+70*x^2+32*x+1) lgdogf] A160839 4.39411 [-(x^6+72*x^5+927*x^4+3237*x^3+3492*x^2+1116*x+78)/(x-1)^7 ogf] A160840 4.78234 [-(x^6+63*x^5+714*x^4+1885*x^3+1230*x^2+147*x+1)/(x-1)^7 ogf] A160840 6.13693 [-(154+3342*x+x^6+132*x^5+2457*x^4+11805*x^2+10396*x^3)/(x-1)/(x^6+63*x^5+714*x^4+1885*x^3+1230*x^2+147*x+1) lgdogf] A160841 4.49467 [-(x^6+66*x^5+744*x^4+1915*x^3+1230*x^2+147*x+1)/(x-1)^7 ogf] A160841 5.76207 [-(154+3342*x+11895*x^2+10636*x^3+2562*x^4+138*x^5+x^6)/(x-1)/(x^6+66*x^5+744*x^4+1915*x^3+1230*x^2+147*x+1) lgdogf] A160842 11.4185 [-x*(2*x^3-4*x^2+3*x+1)/(x-1)^3 ogf] A160842 21.6251 [-2*(3-x+x^2)/(x-1)/(2*x^3-4*x^2+3*x+1) lgdogf] A160842 5.74861 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=6,a(3)=11,a(4)=18} ogf] A160842 6.61545 [(284*f(x)+15)*(f(x)*x^3+2*x^4-3*f(x)*x^2-4*x^3+3*f(x)*x+3*x^2-f(x)+x) ogf] A160843 10.0364 [-x*(3*x^4-3*x^3-2*x^2+9*x+1)/(x+1)/(x-1)^3 ogf] A160843 11.9603 [-(11+18*x+3*x^4+2*x^3+14*x^2)/(x-1)/(x+1)/(3*x^4-3*x^3-2*x^2+9*x+1) lgdogf] A160844 7.05861 [-2*(9+35*x+23*x^6+56*x^5+93*x^4+75*x^2+98*x^3+5*x^7+2*x^8)/(x-1)/(x+1)/(x^2+x+1)/(4*x^6-3*x^4+9*x^3+16*x^2+17*x+1) lgdogf] A160844 7.62834 [-x*(4*x^6-3*x^4+9*x^3+16*x^2+17*x+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A160845 6.28401 [-x*(5*x^8+x^6+16*x^5+20*x^4+40*x^3+25*x^2+26*x+1)/(x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A160852 6.69795 [3*f(x)^2*x^3-3*f(x)^2*x-f(x)*x^2+f(x)*x+f(x)-1 ogf] A160853 4.49467 [-(x^6+67*x^5+754*x^4+1925*x^3+1230*x^2+147*x+1)/(x-1)^7 ogf] A160853 5.76207 [-(154+3342*x+11925*x^2+10716*x^3+2597*x^4+140*x^5+x^6)/(x-1)/(x^6+67*x^5+754*x^4+1925*x^3+1230*x^2+147*x+1) lgdogf] A160854 4.78234 [-(x^6+59*x^5+632*x^4+1638*x^3+1098*x^2+147*x+1)/(x-1)^7 ogf] A160854 6.19483 [-(154+3078*x+x^6+124*x^5+2191*x^4+10404*x^2+9080*x^3)/(x-1)/(x^6+59*x^5+632*x^4+1638*x^3+1098*x^2+147*x+1) lgdogf] A160863 4.78234 [-(x^6+60*x^5+656*x^4+1717*x^3+1142*x^2+147*x+1)/(x-1)^7 ogf] A160863 6.19483 [-(154+3166*x+x^6+126*x^5+2268*x^4+10861*x^2+9492*x^3)/(x-1)/(x^6+60*x^5+656*x^4+1717*x^3+1142*x^2+147*x+1) lgdogf] A160869 10.1243 [-(6*x^2-1)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A160869 5.25245 [(25*f(x)+1587)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2-12*f(x)*x+6*x^2+f(x)-1) ogf] A160869 6.71332 [-2*(6-53*x+144*x^2-72*x^3-216*x^4+216*x^5)/(x-1)/(6*x-1)/(3*x-1)/(-1+2*x)/(6*x^2-1) lgdogf] A160873 12.7319 [-3*x/(8*x-1)/(2*x-1)/(4*x-1) ogf] A160873 5.31417 [{a(n+3)-14*a(n+2)+56*a(n+1)-64*a(n),a(0)=0,a(1)=3,a(2)=42} ogf] A160873 5.9333 [(14*f(x)+3)*(64*f(x)*x^3-56*f(x)*x^2+14*f(x)*x-f(x)+3*x) ogf] A160906 5.64214 [-216*x^2*f(x)^3+59*f(x)^3*x-4*f(x)^3-54*f(x)^2*x+8*f(x)^2-5*f(x)+1 ogf] A160912 12.5695 [(x+1)*(4*x+1)/(x-1)^2 ogf] A160912 22.4438 [-(7+13*x)/(x-1)/(4*x+1)/(x+1) lgdogf] A160912 6.46780 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=7,a(2)=17} ogf] A160912 7.01246 [(20*f(x)+29)*(f(x)*x^2-2*f(x)*x-4*x^2+f(x)-5*x-1) ogf] A160914 5.52127 [(x^9-x^8-2*x^5+4*x^4+x+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A160925 4.63507 [(81*x^18-9*x^17-9*x^16-9*x^15-9*x^14-9*x^13-9*x^12-9*x^11-8*x^10-9*x^9+9*x^8-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160928 5.16960 [(81*x^20-9*x^19-9*x^18-9*x^17-9*x^16-9*x^15-9*x^14-9*x^13-9*x^12-9*x^11+8*x^10+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160931 7.06006 [-(x^10-2*x^9+7*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160939 7.02676 [-(8*x^10-2*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160941 15.1596 [(8*x^10+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160943 6.97020 [-3*(3*x^10-x^9+2*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160949 12.8714 [(x^10+9*x^8-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A160958 16.3188 [1/126/x*(-2*x-1+(1+4*x+256*x^2)^(1/2)) revogf] A160958 18.5911 [-1/(7*x+1)/(9*x-1) ogf] A160958 22.9673 [-2*(1+63*x)/(7*x+1)/(9*x-1) lgdogf] A160958 7.18295 [(4741*f(x)-4725)*(63*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A160958 7.61565 [{-a(n+2)+2*a(n+1)+63*a(n),a(0)=1,a(1)=2} ogf] A160967 6.82754 [-(2+8*x-24*x^7+16*x^9-24*x^5-30*x^6+12*x^3+15*x^2+16*x^10)/(x-1)/(4*x^3-1)/(4*x^5+2*x^4-4*x^2-2*x-1)/(x^2+x+1) lgdogf] A160967 9.89636 [-x*(4*x^5+2*x^4-4*x^2-2*x-1)/(x-1)/(4*x^3-1)/(x^2+x+1) ogf] A160970 10.4611 [x*(x+1)*(x^2+9*x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A160970 6.38304 [(959616*f(x)-820081)*(f(x)*x^4-x^4-34*f(x)*x^2-10*x^3-10*x^2+f(x)-x) ogf] A160993 12.9232 [-x*(2+7*x^5+6*x^4+3*x)/(x^2+x+1)/(x^5-x^3+x^2+x-1) lgdogf] A160993 13.4143 [-1/(x^2+x+1)/(x^5-x^3+x^2+x-1) ogf] A161007 12.4463 [-16*f(x)*x^2-2*f(x)*x+f(x)-x ogf] A161007 19.6521 [-x/(16*x^2+2*x-1) ogf] A161007 9.10707 [{-a(n+2)+2*a(n+1)+16*a(n),a(0)=0,a(1)=1} ogf] A161112 7.25951 [-x^10*(2*x^36-x^26+x^25-x^23+x^22-x^6+1)/(x^2+x+1)/(x^33-x^3-1)/(x-1)^2 ogf] A161113 7.32285 [-x^11*(2*x^39-x^28+x^27-x^25+x^24-x^6+1)/(x^2+x+1)/(x^36-x^3-1)/(x-1)^2 ogf] A161120 3.09806 [{(-2*n^2-5*n-2)*a(n+1)+(2*n^2+12*n+14)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A161120 5.07232 [8*f(x)^2*x^3-12*f(x)^2*x^2+x^4+6*f(x)^2*x-2*x^3-f(x)^2+x^2 egf] A161122 6.70329 [{(-2*n^2-5*n-2)*a(n+1)+n*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A161122 8.88576 [-8*f(x)^2*x^3+12*f(x)^2*x^2-x^4-6*f(x)^2*x+f(x)^2 egf] A161124 29.5782 [-3*(x+2)/(x+1)/(2*x-1) lgdegf] A161124 3.92592 [{(-2*n^2-7*n-6)*a(n+1)+(-2*n^2-12*n-22)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=12} ogf] A161125 4.80457 [{(-n^3-2*n^2-n)*a(n)+(-n^2+1)*a(n+1)+(n^2-n)*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A161130 3.52719 [{(n^2+5*n+6)*a(n+1)+(n^2+4*n+2)*a(n+2)+(-1-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A161149 5.73070 [{(-16*n^3-96*n^2-188*n-120)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A161158 3.96394 [-(126240*f(x)-1927)*(f(x)*x^4-14*f(x)*x^3+34*f(x)*x^2-14*f(x)*x+x^2+f(x)-1) ogf] A161158 7.34310 [-2*(7-35*x+28*x^2-2*x^3-7*x^4+x^5)/(-1+x)/(x+1)/(x^4-14*x^3+34*x^2-14*x+1) lgdogf] A161158 8.16104 [-(x-1)*(x+1)/(x^4-14*x^3+34*x^2-14*x+1) ogf] A161159 4.63901 [(9*x^4-115*x^3+208*x^2-115*x+9)/(x^2-5*x+1)/(x^4-35*x^3+72*x^2-35*x+1) ogf] A161168 10.5761 [1/4*ln(4*x+3)+1/4*ln(2*(x+1)^(1/2)-1)-1/4*ln(2*(x+1)^(1/2)+1) revegf] A161168 14.6190 [-2*(3*x-1)/(4*x-1)/(2*x-1) ogf] A161168 16.1286 [-(3-16*x+24*x^2)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A161168 7.2292 [-(14*f(x)+53)*(8*f(x)*x^2-6*f(x)*x+f(x)+6*x-2) ogf] A161168 8.02263 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=2,a(1)=6} ogf] A161176 10.5864 [-(121*x^2-220*x+107)/(x-1)^3 ogf] A161176 15.0965 [-(101-198*x+121*x^2)/(x-1)/(121*x^2-220*x+107) lgdogf] A161176 5.67434 [(3208*f(x)-221651)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+121*x^2-f(x)-220*x+107) ogf] A161176 6.01095 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=107,a(1)=101,a(2)=103} ogf] A161184 4.81991 [-(3*x^17-3*x^16+6*x^15-6*x^14+3*x^12-3*x^11+6*x^10-3*x^9+3*x^8-6*x^7+3*x^6+3*x^5-3*x^4+2*x^3+2*x^2+x+1)/(x-1) ogf] A161204 10.9600 [-(x^3-2*x^2-3*x+2)/(2*x-1)/(x+1)/(x^2+1) ogf] A161204 11.0085 [-(-1+2*x^6-8*x^5-21*x^4+8*x^3+8*x^2)/(2*x-1)/(x+1)/(x^2+1)/(x^3-2*x^2-3*x+2) lgdogf] A161204 6.16 [(f(x)-3)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3+f(x)*x-2*x^2-f(x)-3*x+2) ogf] A161365 14.8245 [(x^2+9)/(x+1)/(x-1)^2 ogf] A161365 22.4007 [-(9+29*x+x^3+x^2)/(x-1)/(x+1)/(x^2+9) lgdogf] A161365 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=9,a(1)=9,a(2)=19} ogf] A161365 7.6818 [(35*f(x)+521)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-9) ogf] A161370 18.7376 [(7-8*x+4*x^2)/(2*x-1)/(2*x-3) lgdegf] A161374 4.97371 [x*(48*x^12+48*x^11+16*x^10-4*x^9-28*x^8-12*x^7-18*x^6-8*x^5-2*x^4+2*x^3+4*x^2+2*x+1)/(4*x^3-1)/(2*x^3-1) ogf] A161434 10.9695 [-6/(x-1)/(2*x^6-12*x^5+30*x^4-40*x^3+30*x^2-12*x+1) lgdogf] A161434 5.72370 [(x-1)^6/(2*x^6-12*x^5+30*x^4-40*x^3+30*x^2-12*x+1) ogf] A161435 16.1850 [-x^3-x^2-x+3 ogf_with_Euler_transform] A161435 19.4536 [(3+7*x+6*x^4+11*x^2+9*x^3)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A161436 13.7621 [-x^4-x^3-x^2-x+4 ogf_with_Euler_transform] A161436 9.83125 [(4+14*x+10*x^8+26*x^7+46*x^6+59*x^5+61*x^4+31*x^2+49*x^3)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A161437 12.2303 [-x^5-x^4-x^3-x^2-x+5 ogf_with_Euler_transform] A161438 11.4185 [-x^6-x^5-x^4-x^3-x^2-x+6 ogf_with_Euler_transform] A161439 11.0926 [-x^7-x^6-x^5-x^4-x^3-x^2-x+7 ogf_with_Euler_transform] A161456 15.8856 [(-8/x^9+9/x^8-1)*x^9/(x-1) ogf_with_Euler_transform] A161456 15.8856 [(-8/x^9+9/x^8-1)/(x-1)*x^9 ogf_with_Euler_transform] A161457 18.8137 [(10/x^9-9/x^10-1)*x^10/(x-1) ogf_with_Euler_transform] A161462 5.24624 [-(2*x^13+7*x^12+5*x^11+6*x^10+5*x^8-5*x^6+5*x^4+2*x^3+2*x^2+5*x+1)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A161474 6.93148 [{(-n-5)*a(n+1)+a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=4} ogf] A161478 6.71604 [x*(36*x^5+41*x^4+36*x^3-164*x^2-123*x-52)/(x-1)/(x^6-6*x^3+1) ogf] A161479 7.92367 [-(x-1)*(85*x^4+198*x^3+371*x^2+198*x+85)/(x^6-6*x^3+1) ogf] A161482 6.13329 [x*(60*x^5+31*x^4+60*x^3-264*x^2-93*x-96)/(x-1)/(x^6-6*x^3+1) ogf] A161483 7.86299 [-(x-1)*(109*x^4+260*x^3+525*x^2+260*x+109)/(x^6-6*x^3+1) ogf] A161486 6.10881 [x*(51*x^5+89*x^4+51*x^3-237*x^2-267*x-69)/(x-1)/(x^6-6*x^3+1) ogf] A161487 7.49496 [-(x-1)*(149*x^4+340*x^3+609*x^2+340*x+149)/(x^6-6*x^3+1) ogf] A161495 3.59003 [-(629655*f(x)+12746)*(f(x)*x^4-15*f(x)*x^3+32*f(x)*x^2-15*f(x)*x-3*x^2+f(x)+10*x-3) ogf] A161495 6.25379 [-(-35+186*x+6*x^5+312*x^3-75*x^4-410*x^2)/(x-3)/(3*x-1)/(x^4-15*x^3+32*x^2-15*x+1) lgdogf] A161495 7.18005 [(3*x-1)*(x-3)/(x^4-15*x^3+32*x^2-15*x+1) ogf] A161498 4.1181 [-(7372128*f(x)-147437)*(f(x)*x^4-13*f(x)*x^3+36*f(x)*x^2-13*f(x)*x+x^2+f(x)-1) ogf] A161498 7.69480 [-(13-74*x-13*x^4-4*x^3+2*x^5+52*x^2)/(x-1)/(x+1)/(x^4-13*x^3+36*x^2-13*x+1) lgdogf] A161498 8.66012 [-(x-1)*(x+1)/(x^4-13*x^3+36*x^2-13*x+1) ogf] A161499 17.3571 [-(18-19*x)/(x-1) ogf_with_Euler_transform] A161512 16.7226 [-(19-20*x)/(x-1) ogf_with_Euler_transform] A161513 14.5981 [-(20-21*x)/(x-1) ogf_with_Euler_transform] A161518 14.9103 [-(21-22*x)/(x-1) ogf_with_Euler_transform] A161521 15.2226 [-(22-23*x)/(x-1) ogf_with_Euler_transform] A161523 15.4568 [-(23-24*x)/(x-1) ogf_with_Euler_transform] A161524 15.6910 [-(24-25*x)/(x-1) ogf_with_Euler_transform] A161525 16.0813 [-(25-26*x)/(x-1) ogf_with_Euler_transform] A161526 16.3155 [-(26-27*x)/(x-1) ogf_with_Euler_transform] A161530 16.3936 [-(27-28*x)/(x-1) ogf_with_Euler_transform] A161532 13.2546 [(5*x^2-8*x-1)/(x-1)^3 ogf] A161532 22.6609 [-(x+1)*(5*x-11)/(x-1)/(5*x^2-8*x-1) lgdogf] A161532 6.97009 [(125*f(x)-2253)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+8*x+1) ogf] A161532 7.09239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=25} ogf] A161549 12.5798 [(11*x^2-14*x-1)/(x-1)^3 ogf] A161549 20.4530 [-(x+1)*(11*x-17)/(x-1)/(11*x^2-14*x-1) lgdogf] A161549 6.77375 [(38*f(x)-2943)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+14*x+1) ogf] A161549 6.95200 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=37} ogf] A161561 6.24671 [(x^2+x+1)*(x^6+x^3+1)*(90*x^10-90*x^9-9*x+10)/(x-1)/(10*x^9-1) ogf] A161571 16.7839 [-(28-29*x)/(x-1) ogf_with_Euler_transform] A161572 15.5932 [-(29-30*x)/(x-1) ogf_with_Euler_transform] A161573 15.6700 [-(30-31*x)/(x-1) ogf_with_Euler_transform] A161581 4.13755 [{(27*n^2+243*n+546)*a(n+1)+(-n^2-13*n-42)*a(n+2),a(0)=21,a(1)=231} ogf] A161582 12.6241 [-7*x/(x-1)/(x^2-47*x+1) ogf] A161582 16.7148 [-3*(16-32*x+x^2)/(x-1)/(x^2-47*x+1) lgdogf] A161582 5.15943 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=336} ogf] A161582 7.51056 [f(x)*x^3-48*f(x)*x^2+48*f(x)*x-f(x)+7*x ogf] A161583 12.1925 [-17*x/(x-1)/(x^2-287*x+1) ogf] A161583 16.2623 [-3*(96-192*x+x^2)/(x-1)/(x^2-287*x+1) lgdogf] A161583 5.12288 [{a(n+3)-288*a(n+2)+288*a(n+1)-a(n),a(0)=0,a(1)=17,a(2)=4896} ogf] A161583 7.43442 [f(x)*x^3-288*f(x)*x^2+288*f(x)*x-f(x)+17*x ogf] A161584 12.3644 [-(224-448*x+3*x^2)/(-1+x)/(x^2-223*x+1) lgdogf] A161584 4.11685 [{a(n+3)-224*a(n+2)+224*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=3360} ogf] A161584 5.97446 [f(x)*x^3-224*f(x)*x^2+224*f(x)*x-f(x)+15*x ogf] A161584 9.79810 [-15*x/(x-1)/(x^2-223*x+1) ogf] A161585 14.0989 [-9*x/(x-1)/(x^2-79*x+1) ogf] A161585 18.1759 [-(80-160*x+3*x^2)/(x-1)/(x^2-79*x+1) lgdogf] A161585 5.76217 [{a(n+3)-80*a(n+2)+80*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=720} ogf] A161585 8.38796 [f(x)*x^3-80*f(x)*x^2+80*f(x)*x-f(x)+9*x ogf] A161586 3.97619 [{a(n+4)-120*a(n+3)+120*a(n+2)-a(n+1),a(0)=0,a(1)=1320,a(2)=157080,a(3)=18691211} ogf] A161586 4.05733 [(23856810481*f(x)+262424289600)*(f(x)*x^3-120*f(x)*x^2+11*x^3+120*f(x)*x-1320*x^2-f(x)+1320*x) ogf] A161586 7.84774 [-11*x*(x^2-120*x+120)/(x-1)/(x^2-119*x+1) ogf] A161587 12.0186 [-(4*x^2+21*x+1)/(x-1)^3 ogf] A161587 19.2210 [-2*(x+12)*(2*x+1)/(x-1)/(4*x^2+21*x+1) lgdogf] A161587 5.96123 [(4025580*f(x)-50087197)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+21*x+1) ogf] A161587 6.53644 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=24,a(2)=73} ogf] A161588 13.2153 [-13*x/(x-1)/(x^2-167*x+1) ogf] A161588 17.6389 [-3*(56-112*x+x^2)/(x-1)/(x^2-167*x+1) lgdogf] A161588 5.55264 [{a(n+3)-168*a(n+2)+168*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=2184} ogf] A161588 8.0581 [f(x)*x^3-168*f(x)*x^2+168*f(x)*x-f(x)+13*x ogf] A161591 14.9142 [(x+1)/(x^2-15*x+1) ogf] A161591 15.6809 [-1/2*(-15*x-1+(221*x^2+34*x+1)^(1/2))/(x-1) revogf] A161591 20.4326 [-(-16+2*x+x^2)/(x+1)/(x^2-15*x+1) lgdogf] A161591 7.79607 [(119*f(x)+9)*(f(x)*x^2-15*f(x)*x+f(x)-x-1) ogf] A161591 8.16732 [{-a(n+2)+15*a(n+1)-a(n),a(0)=1,a(1)=16} ogf] A161595 15.4903 [-(x-1)/(x^2-17*x+1) ogf] A161595 16.2971 [-1/2*(-1-17*x+(1+30*x+285*x^2)^(1/2))/(1+x) revogf] A161595 21.8993 [-(16-2*x+x^2)/(x-1)/(x^2-17*x+1) lgdogf] A161595 7.74515 [-(135*f(x)-7)*(f(x)*x^2-17*f(x)*x+f(x)+x-1) ogf] A161595 8.48279 [{a(n+2)-17*a(n+1)+a(n),a(0)=1,a(1)=16} ogf] A161599 15.5543 [(x+1)/(x^2-17*x+1) ogf] A161599 16.3656 [-1/2*(-1-17*x+(1+38*x+285*x^2)^(1/2))/(x-1) revogf] A161599 21.3249 [-(-18+2*x+x^2)/(x+1)/(x^2-17*x+1) lgdogf] A161599 8.22412 [(76*f(x)+5)*(f(x)*x^2-17*f(x)*x+f(x)-x-1) ogf] A161599 8.51785 [{-a(n+2)+17*a(n+1)-a(n),a(0)=1,a(1)=18} ogf] A161617 11.7891 [(11*x^2-26*x-1)/(x-1)^3 ogf] A161617 18.1965 [-(-29-30*x+11*x^2)/(x-1)/(11*x^2-26*x-1) lgdogf] A161617 6.29419 [(305*f(x)-8907)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+26*x+1) ogf] A161617 6.51504 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=29,a(2)=73} ogf] A161634 38.3306 [x/(1+x+2*x^2+x^3) revogf] A161634 8.63184 [x^3*f(x)^3+2*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A161636 15.7468 [-(31-32*x)/(x-1) ogf_with_Euler_transform] A161640 14.7222 [-(32-33*x)/(x-1) ogf_with_Euler_transform] A161646 14.7977 [-(33-34*x)/(x-1) ogf_with_Euler_transform] A161647 14.7977 [-(34-35*x)/(x-1) ogf_with_Euler_transform] A161648 13.7107 [-(35-36*x)/(x-1) ogf_with_Euler_transform] A161649 13.7848 [-(36-37*x)/(x-1) ogf_with_Euler_transform] A161650 13.7848 [-(37-38*x)/(x-1) ogf_with_Euler_transform] A161651 14.1554 [-(38-39*x)/(x-1) ogf_with_Euler_transform] A161652 14.3036 [-(39-40*x)/(x-1) ogf_with_Euler_transform] A161653 14.3777 [-(40-41*x)/(x-1) ogf_with_Euler_transform] A161662 14.5260 [-(41-42*x)/(x-1) ogf_with_Euler_transform] A161663 14.7483 [-(42-43*x)/(x-1) ogf_with_Euler_transform] A161668 14.7483 [-(43-44*x)/(x-1) ogf_with_Euler_transform] A161679 14.8224 [-(44-45*x)/(x-1) ogf_with_Euler_transform] A161680 10.0956 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A161680 101.220 [-3/(x-1) lgdogf] A161680 19.9449 [-x^2/(x-1)^3 ogf] A161680 62.6084 [[3] ogf_with_Euler_transform] A161680 7.43401 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A161690 15.1188 [-(45-46*x)/(x-1) ogf_with_Euler_transform] A161691 15.1930 [-(46-47*x)/(x-1) ogf_with_Euler_transform] A161696 13.3244 [(3+4*x+9*x^6+6*x^5+14*x^4+10*x^2+8*x^3)/(x+1)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A161696 14.8118 [[-x^5-x^3-x+3] ogf_with_Euler_transform] A161697 10.6273 [2*(2*x^4+x^3+x^2+x+1)*(4*x^6+x^5+4*x^4+4*x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(1+x^4)/(1+x^2) lgdogf] A161697 14.6820 [-x^7-x^5-x^3-x+4 ogf_with_Euler_transform] A161697 6.48685 [(x^4+1)*(x^2+x+1)*(x^2-x+1)*(x^2+1)^2*(x+1)^4 ogf] A161698 9.31722 [(-5/x^11+5/x^9+1/x^10-1)/(x+1)*x^11/(x-1) ogf_with_Euler_transform] A161698 9.31722 [(5/x^9-5/x^11+1/x^10-1)*x^11/(x+1)/(x-1) ogf_with_Euler_transform] A161699 10.4827 [(1/x^12+6/x^11-6/x^13-1)/(x-1)*x^13/(x+1) ogf_with_Euler_transform] A161699 10.4827 [(6/x^11-6/x^13+1/x^12-1)*x^13/(x-1)/(x+1) ogf_with_Euler_transform] A161701 12.7881 [-2*(1-4*x+2*x^4-2*x^3+6*x^2)/(x-1)/(2*x^4-4*x^3+6*x^2-4*x+1) lgdogf] A161701 3.92986 [{(-n^2-7*n-12)*a(n+1)+(2*n^2+9*n+4)*a(n+2)+(-n^2-2*n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=6} ogf] A161701 7.51964 [(2*x^4-4*x^3+6*x^2-4*x+1)/(x-1)^6 ogf] A161702 16.1188 [-2*(3*x+1)*(x^2+x-1)/(x-1)/(6*x^3-5*x^2+2*x-1) lgdogf] A161702 4.19520 [{(7*n+14)*a(n+1)+(-12*n-12)*a(n+2)+(5*n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A161702 4.48857 [-(6*f(x)-119)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+6*x^3-4*f(x)*x-5*x^2+f(x)+2*x-1) ogf] A161702 8.33591 [-(6*x^3-5*x^2+2*x-1)/(x-1)^4 ogf] A161703 10.0315 [(9*x^3-x^2-x+1)/(x-1)^4 ogf] A161703 18.0373 [-(x+3)*(9*x^2-2*x+1)/(x-1)/(9*x^3-x^2-x+1) lgdogf] A161703 4.08689 [{(59*n^2+403*n+570)*a(n+1)+(-130*n^2-656*n-378)*a(n+2)+(71*n^2+217*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=5} ogf] A161703 5.51731 [(52*f(x)+115)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x+x^2+f(x)+x-1) ogf] A161704 6.65964 [(18*x^5-7*x^4-2*x^3+6*x^2-4*x+1)/(x-1)^6 ogf] A161704 9.84273 [-2*(1-4*x+9*x^2-17*x^3+38*x^4+9*x^5)/(x-1)/(18*x^5-7*x^4-2*x^3+6*x^2-4*x+1) lgdogf] A161705 10.1887 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=19} ogf] A161705 18.3840 [(17*x+1)/(x-1)^2 ogf] A161705 23.0474 [-1/2*(-1-2*x+(1+72*x)^(1/2))/(-17+x) revogf] A161705 33.1883 [-(19+17*x)/(17*x+1)/(x-1) lgdogf] A161705 9.50185 [(36*f(x)+325)*(f(x)*x^2-2*f(x)*x+f(x)-17*x-1) ogf] A161706 5.61282 [-(21*x^5-15*x^4+9*x^3-7*x^2+4*x-1)/(x-1)^6 ogf] A161706 9.68628 [-(-2+6*x-x^2-33*x^3+75*x^4+21*x^5)/(x-1)/(21*x^5-15*x^4+9*x^3-7*x^2+4*x-1) lgdogf] A161707 17.9945 [-(3-x+23*x^2+7*x^3)/(x-1)/(7*x^3+x^2-x+1) lgdogf] A161707 3.87903 [{(-287*n^2-1624*n-2100)*a(n+1)+(486*n^2+1926*n+621)*a(n+2)+(-199*n^2-566*n+93)*a(n+3),a(0)=1,a(1)=3,a(2)=7} ogf] A161707 5.08467 [-(9856*f(x)+18677)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-x^2+f(x)+x-1) ogf] A161707 9.77314 [(7*x^3+x^2-x+1)/(x-1)^4 ogf] A161708 14.9070 [-2*(-1-6*x+12*x^2+7*x^3)/(x-1)/(14*x^3-9*x^2+2*x-1) lgdogf] A161708 4.44323 [-(5562*f(x)-79213)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+14*x^3-4*f(x)*x-9*x^2+f(x)+2*x-1) ogf] A161708 8.48771 [-(14*x^3-9*x^2+2*x-1)/(x-1)^4 ogf] A161709 10.0447 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=23} ogf] A161709 18.1242 [(21*x+1)/(x-1)^2 ogf] A161709 22.7196 [-1/2*(-1-2*x+(1+88*x)^(1/2))/(-21+x) revogf] A161709 32.7163 [-(23+21*x)/(21*x+1)/(x-1) lgdogf] A161709 9.36756 [(44*f(x)+485)*(f(x)*x^2-2*f(x)*x+f(x)-21*x-1) ogf] A161710 4.17257 [-(24*x^7-18*x^6+12*x^5-16*x^4+20*x^3-15*x^2+6*x-1)/(x-1)^8 ogf] A161710 6.48222 [-2*(-1+6*x-15*x^2+18*x^3-2*x^4-36*x^5+66*x^6+12*x^7)/(x-1)/(24*x^7-18*x^6+12*x^5-16*x^4+20*x^3-15*x^2+6*x-1) lgdogf] A161711 14.3048 [-2*(-1-8*x+16*x^2+9*x^3)/(x-1)/(18*x^3-11*x^2+2*x-1) lgdogf] A161711 4.42708 [(5376*f(x)-81245)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+18*x^3-4*f(x)*x-11*x^2+f(x)+2*x-1) ogf] A161711 8.18171 [-(18*x^3-11*x^2+2*x-1)/(x-1)^4 ogf] A161712 15.6974 [-(3+3*x+21*x^2+5*x^3)/(x-1)/(x+1)/(5*x^2-2*x+1) lgdogf] A161712 4.27575 [{(-3*n-6)*a(n+1)+(4*n-1)*a(n+2)+(-n+1)*a(n+3),a(0)=1,a(1)=3,a(2)=9,a(3)=27,a(4)=65} ogf] A161712 5.83358 [f(x)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-3*x^2+f(x)+x-1) ogf] A161712 9.77314 [(x+1)*(5*x^2-2*x+1)/(x-1)^4 ogf] A161713 5.65046 [-(7*x^5-7*x^4+7*x^3-7*x^2+4*x-1)/(x-1)^6 ogf] A161713 9.82659 [-(-2+6*x-7*x^2-7*x^3+21*x^4+7*x^5)/(x-1)/(7*x^5-7*x^4+7*x^3-7*x^2+4*x-1) lgdogf] A161714 18.0293 [(27*x+1)/(x-1)^2 ogf] A161714 21.9919 [-1/2*(-1-2*x+(1+112*x)^(1/2))/(-27+x) revogf] A161714 32.5480 [-(29+27*x)/(27*x+1)/(x-1) lgdogf] A161714 9.31853 [(56*f(x)+785)*(f(x)*x^2-2*f(x)*x+f(x)-27*x-1) ogf] A161714 9.99214 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=29} ogf] A161715 4.65924 [(84*x^7-51*x^6+18*x^5+8*x^4-19*x^3+15*x^2-6*x+1)/(x-1)^8 ogf] A161715 6.32736 [-(2-12*x+33*x^2-63*x^3+122*x^4-252*x^5+486*x^6+84*x^7)/(x-1)/(84*x^7-51*x^6+18*x^5+8*x^4-19*x^3+15*x^2-6*x+1) lgdogf] A161718 13.0775 [-f(x)*x^2-2*f(x)*x+3*x^2-f(x)+1 ogf] A161718 17.8814 [(3*x^2+1)/(x+1)^2 ogf] A161718 37.7939 [2*(-1+3*x)/(x+1)/(3*x^2+1) lgdogf] A161718 8.59009 [{a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=-2,a(2)=6} ogf] A161726 10.0805 [-(10397*x^2-19874*x+9479)/(x-1)^3 ogf] A161726 14.3792 [-(8563-18954*x+10397*x^2)/(x-1)/(10397*x^2-19874*x+9479) lgdogf] A161726 5.14748 [(1235968*f(x)+73284047471583)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10397*x^2-f(x)-19874*x+9479) ogf] A161726 5.99831 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9479,a(1)=8563,a(2)=7649} ogf] A161727 12.6414 [-1/2*(-1-8*x+((2*x+1)*(6*x+1))^(1/2))/(2+13*x) revogf] A161727 12.9061 [-(2*x-1)/(13*x^2-8*x+1) ogf] A161727 14.1830 [-2*(3-13*x+13*x^2)/(2*x-1)/(13*x^2-8*x+1) lgdogf] A161727 6.82393 [(11*f(x)+7)*(13*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A161727 7.15278 [{-a(n+2)+8*a(n+1)-13*a(n),a(0)=1,a(1)=6} ogf] A161728 12.9723 [-(x-1)/(13*x^2-8*x+1) ogf] A161728 13.2852 [-1/2*(-1-8*x+(1+12*x+12*x^2)^(1/2))/(1+13*x) revogf] A161728 15.7986 [-(7-26*x+13*x^2)/(x-1)/(13*x^2-8*x+1) lgdogf] A161728 7.18947 [{-a(n+2)+8*a(n+1)-13*a(n),a(0)=1,a(1)=7} ogf] A161728 9.06468 [(30*f(x)+19)*(13*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A161729 13.8738 [-1/104*(-16*x-1+(48*x^2+32*x+1)^(1/2))/x revogf] A161729 16.1861 [1/(52*x^2-16*x+1) ogf] A161729 19.8197 [-8*(-2+13*x)/(52*x^2+1-16*x) lgdogf] A161729 6.66486 [{-a(n+2)+16*a(n+1)-52*a(n),a(0)=1,a(1)=16} ogf] A161729 8.96253 [(1769*f(x)+2327)*(52*f(x)*x^2-16*f(x)*x+f(x)-1) ogf] A161731 12.4428 [-(3*x-1)/(14*x^2-8*x+1) ogf] A161731 13.3379 [-1/2*(-1-8*x+(1+4*x+8*x^2)^(1/2))/(3+14*x) revogf] A161731 14.3639 [-(5-28*x+42*x^2)/(3*x-1)/(14*x^2-8*x+1) lgdogf] A161731 6.22142 [-(12*f(x)+13)*(14*f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A161731 6.89602 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=1,a(1)=5} ogf] A161734 14.6002 [-(4*x-1)/(23*x^2-10*x+1) ogf] A161734 15.6709 [-1/2*(-1-10*x+(1+4*x+8*x^2)^(1/2))/(4+23*x) revogf] A161734 16.0440 [-2*(3-23*x+46*x^2)/(4*x-1)/(23*x^2-10*x+1) lgdogf] A161734 7.45882 [-(7*f(x)+11)*(23*f(x)*x^2-10*f(x)*x+f(x)+4*x-1) ogf] A161734 8.16918 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=1,a(1)=6} ogf] A161740 10.0551 [-(425+1341*x+915*x^2+119*x^3)/(x-1)/(17*x^3+108*x^2+125*x+30) lgdogf] A161740 4.15265 [x*(17*x^3+108*x^2+125*x+30)/(x-1)^10 ogf] A161741 5.88228 [-(-14+3318*x+32445*x^2+80296*x^3+65676*x^4+17394*x^5+1085*x^6)/(x-1)/(155*x^6+2058*x^5+6154*x^4+5568*x^3+1431*x^2+38*x-4) lgdogf] A161762 8.93905 [-(-1+14*x^2-16*x^3-16*x^4+6*x^5+3*x^6)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+2*x-1) lgdogf] A161762 9.23183 [(x^2+2*x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A161770 2.35056 [(11111*f(x)+3530000)*(10*f(x)*x^2-11*f(x)*x+f(x)-1000) ogf] A161770 8.32475 [-(-11+20*x)/(10*x-1)/(x-1) lgdogf] A161794 8.50073 [-(12*x^35+2*x^32+2*x^29+4*x^22+6*x^10+2*x^8+2*x^4+2*x^2+x+1)/(x-1) ogf] A161797 21.9484 [x*(x-1)^3/(-1+2*x-3*x^2+x^3) revogf] A161809 7.63754 [-3*(-1-x+3*x^11-12*x^17+5*x^18+5*x^19-3*x^2-6*x^8-x^9-x^10+27*x^20)/(x-1)/(x^2+x+1)/(5*x^18-x^9-1) lgdogf] A161816 3.10148 [-(f(x)-1)*(-4*x^3+2*f(x)*x-f(x)+1) ogf] A161816 5.67344 [(4*x^3-1)/(2*x-1) ogf] A161816 6.30951 [2*(1+8*x^3-6*x^2)/(2*x-1)/(4*x^3-1) lgdogf] A161826 10.2624 [(x^10+x^8+x^5-3*x^4-x^3-2*x^2-x-1)/(x-1)/(x+1) ogf] A161826 8.70422 [(1+6*x+8*x^11-4*x^9-8*x^7+3*x^6-6*x^5-6*x^4+12*x^3+4*x^2)/(x-1)/(x+1)/(x^10+x^8+x^5-3*x^4-x^3-2*x^2-x-1) lgdogf] A161852 11.7489 [-(x-1)*(x^2+6*x+1)/(x^4-16*x^2+1) ogf] A161852 7.04934 [(96390*f(x)-33863)*(f(x)*x^4-16*f(x)*x^2+x^3+5*x^2+f(x)-5*x-1) ogf] A161870 29.5369 [-2/(-x^2+2*x-1) ogf_with_Euler_transform] A161872 7.55726 [x*(3*x^28-3*x^27+x^18-x^17+5*x^16-5*x^15+x^14-x^13-2*x^2+2*x-2)/(x-1) ogf] A161905 6.80431 [-(26*x^5-130*x^4+169*x^3-91*x^2+22*x-2)/(13*x^6-91*x^5+182*x^4-156*x^3+65*x^2-13*x+1) ogf] A161909 14.6239 [-x^2/(2*x+1)/(x-1)/(2*x^2+2*x+1) ogf] A161909 16.4968 [-(-3-4*x+16*x^3+6*x^2)/(x-1)/(2*x+1)/(2*x^2+2*x+1) lgdogf] A161909 6.4055 [(2*f(x)-1)*(4*f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+x^2-f(x)) ogf] A161935 13.9424 [-x*(25*x+1)/(x-1)^3 ogf] A161935 27.0518 [-2*(14+25*x)/(25*x+1)/(x-1) lgdogf] A161935 6.57446 [-(206180*f(x)-1765233)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+x) ogf] A161935 7.22016 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=28} ogf] A161936 3.17808 [{(4*n^2+20*n+24)*a(n+1)+(10*n^2+66*n+108)*a(n+2)+(6*n^2+43*n+76)*a(n+3)+(-9-3*n)*a(n+4),a(0)=0,a(1)=3,a(2)=14,a(3)=117} ogf] A161937 4.29213 [{(-2*n^2-14*n-24)*a(n+1)+(-2*n^2-13*n-20)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=15} ogf] A161938 13.7716 [-(4*x-3)/(2*x^2-4*x+1) ogf] A161938 15.5643 [-1/4*(-3-4*x+(9+8*x+8*x^2)^(1/2))/(x+2) revogf] A161938 15.9739 [-4*(2-3*x+2*x^2)/(4*x-3)/(2*x^2-4*x+1) lgdogf] A161938 6.96315 [-(5*f(x)+1)*(2*f(x)*x^2-4*f(x)*x+f(x)+4*x-3) ogf] A161938 7.55756 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=3,a(1)=8} ogf] A161939 12.7611 [-(10*x-3)/(14*x^2-8*x+1) ogf] A161939 13.9903 [-14*(1-6*x+10*x^2)/(10*x-3)/(14*x^2-8*x+1) lgdogf] A161939 14.3315 [-1/4*(-3-8*x+(9+8*x+8*x^2)^(1/2))/(5+7*x) revogf] A161939 6.44915 [-(33*f(x)+97)*(14*f(x)*x^2-8*f(x)*x+f(x)+10*x-3) ogf] A161939 7.14012 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=3,a(1)=14} ogf] A161940 12.1078 [-(13*x-3)/(23*x^2-10*x+1) ogf] A161940 12.9361 [-(17-138*x+299*x^2)/(13*x-3)/(23*x^2-10*x+1) lgdogf] A161940 12.9361 [-1/2*(-3-10*x+(9+8*x+8*x^2)^(1/2))/(13+23*x) revogf] A161940 6.1176 [-(32*f(x)+193)*(23*f(x)*x^2-10*f(x)*x+f(x)+13*x-3) ogf] A161940 6.83732 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=3,a(1)=17} ogf] A161941 14.5207 [-(3*x-2)/(2*x^2-4*x+1) ogf] A161941 17.7933 [-(5-8*x+6*x^2)/(3*x-2)/(2*x^2-4*x+1) lgdogf] A161941 18.3016 [-(-1-2*x+(1+x+2*x^2)^(1/2))/(3+2*x) revogf] A161941 7.26035 [-(12*f(x)+1)*(2*f(x)*x^2-4*f(x)*x+f(x)+3*x-2) ogf] A161941 7.96870 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=2,a(1)=5} ogf] A161944 12.9824 [-(5*x-2)/(7*x^2-6*x+1) ogf] A161944 15.0485 [-7*(1-4*x+5*x^2)/(5*x-2)/(7*x^2-6*x+1) lgdogf] A161944 16.3384 [-(-1-3*x+(1+x+2*x^2)^(1/2))/(5+7*x) revogf] A161944 6.41986 [-(18*f(x)+13)*(7*f(x)*x^2-6*f(x)*x+f(x)+5*x-2) ogf] A161944 7.12448 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=2,a(1)=7} ogf] A161947 12.1104 [-(9*x-2)/(23*x^2-10*x+1) ogf] A161947 13.2668 [-(11-92*x+207*x^2)/(9*x-2)/(23*x^2-10*x+1) lgdogf] A161947 15.4779 [-(-1-5*x+(1+x+2*x^2)^(1/2))/(9+23*x) revogf] A161947 6.12031 [-(18*f(x)+85)*(23*f(x)*x^2-10*f(x)*x+f(x)+9*x-2) ogf] A161947 6.69634 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=2,a(1)=11} ogf] A161969 11.7984 [-(-8*x^3+8*x^2-16*x+8)/(x^4-1) ogf_with_Euler_transform] A161999 5.47209 [(165924*f(x)+107171)*(99*f(x)*x^4-20*f(x)*x^2+10*x^3-x^2+f(x)-x) ogf] A161999 7.31202 [-(1+20*x+1980*x^5-297*x^4-396*x^3+20*x^2)/(3*x-1)/(3*x+1)/(11*x^2-1)/(10*x^2-x-1) lgdogf] A161999 9.40517 [-x*(10*x^2-x-1)/(3*x-1)/(3*x+1)/(11*x^2-1) ogf] A162008 4.69240 [-8*(135*x^3+96*x^2-37*x-2)/(-1+25*x)/(9*x-1)^2/(x-1)^3 ogf] A162008 5.33486 [-3*(-43+475*x+30375*x^5+26865*x^4-26194*x^3+5386*x^2)/(x-1)/(25*x-1)/(9*x-1)/(135*x^3+96*x^2-37*x-2) lgdogf] A162012 4.41879 [-x*(19*x^4+492*x^3+1218*x^2+492*x+19)/(x-1)^9 ogf] A162012 7.94512 [-(663+6372*x+95*x^4+3028*x^3+10002*x^2)/(x-1)/(19*x^4+492*x^3+1218*x^2+492*x+19) lgdogf] A162024 11.8188 [-(x^3+x^2-x+7)/(x-1)^3 ogf] A162024 26.6729 [-4*(5+x^2)/(x-1)/(x^3+x^2-x+7) lgdogf] A162024 6.04074 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=7,a(1)=20,a(2)=40,a(3)=68} ogf] A162024 6.68443 [(79*f(x)-828)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)-x+7) ogf] A162028 4.03354 [-(22*x^12-233*x^11+1092*x^10-2957*x^9+4971*x^8-4896*x^7+1459*x^6+3290*x^5-5707*x^4+4677*x^3-2279*x^2+639*x-86)/(x-1)^12 ogf] A162147 11.8263 [x*(2*x+3)/(x-1)^4 ogf] A162147 31.5653 [-2*(7+3*x)/(2*x+3)/(x-1) lgdogf] A162147 5.09079 [{(6+3*n)*a(n+3)+(-15-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=3,a(2)=14} ogf] A162147 5.69414 [(145250*f(x)+318613)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-3*x) ogf] A162148 11.8834 [x*(x+4)/(x-1)^4 ogf] A162148 36.2515 [-(17+3*x)/(x+4)/(x-1) lgdogf] A162148 5.11538 [{(8+4*n)*a(n+3)+(-20-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=4,a(2)=17} ogf] A162148 5.72165 [(178625*f(x)+456161)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-4*x) ogf] A162155 4.58226 [(3*x^10-5*x^9+2*x^8-4*x^7+6*x^6-58*x^5+8*x^4-4*x^3-x^2-9*x-2)/(x+1)^2/(x-1)^3/(x^2+1)^3 ogf] A162162 30.0326 [-x*(x-1)/(1+x^2+x^3) revogf] A162162 7.96577 [x^3*f(x)^3+f(x)^2*x^2+f(x)^2*x-f(x)+1 ogf] A162180 11.8471 [-(-3+4*x+4*x^5+x^6-9*x^4+4*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3+2*x^2-3*x+1) lgdogf] A162207 13.3047 [2*(2+3*x+4*x^5+9*x^4+5*x^3+6*x^6+7*x^2)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A162207 15.5916 [[-x^5-2*x^3-x+4] ogf_with_Euler_transform] A162207 7.50806 [(x^2+x+1)*(x^2-x+1)*(x^2+1)^2*(x+1)^4 ogf] A162208 13.0723 [-x^7-x^5-x^4-x^3-x+5 ogf_with_Euler_transform] A162208 4.97747 [(x^2+x+1)*(x^2-x+1)*(x^4+x^3+x^2+x+1)*(x^4+1)*(x^2+1)^2*(x+1)^4 ogf] A162209 14.7977 [-x^9-x^7-2*x^5-x^3-x+6 ogf_with_Euler_transform] A162209 4.40841 [(x^4+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x^2+1)^2*(x^2+x+1)^2*(x^2-x+1)^2*(x+1)^6 ogf] A162254 10.8314 [-(x+1)*(x-4)/(x-1)^4 ogf] A162254 21.5504 [-(-19-7*x+2*x^2)/(x-1)/(x-4)/(x+1) lgdogf] A162254 3.68161 [{(-4*n-16)*a(n+4)+(22+n)*a(n+3)+(15+4*n)*a(n+2)+(-3-n)*a(n+1),a(0)=4,a(1)=19,a(2)=51,a(3)=106} ogf] A162254 5.26314 [(5084640*f(x)+35210003)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-3*x-4) ogf] A162255 12.2058 [{-a(n+2)+2*a(n),a(0)=3,a(1)=2} ogf] A162255 17.3594 [-2*f(x)*x^2+f(x)-2*x-3 ogf] A162255 19.0530 [-(2*x+3)/(2*x^2-1) ogf] A162256 11.1736 [-(3*x^2-7*x-2)/(x-1)^4 ogf] A162256 20.4384 [-3*(-5-5*x+2*x^2)/(x-1)/(3*x^2-7*x-2) lgdogf] A162256 3.99469 [{(-2*n-8)*a(n+4)-5*n*a(n+3)+(35+10*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=2,a(1)=15,a(2)=45,a(3)=98} ogf] A162256 5.42941 [(5380128*f(x)+59532251)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-7*x-2) ogf] A162257 10.9612 [-(7*x-1)*(x-2)/(x-1)^4 ogf] A162257 20.4384 [-(-7-31*x+14*x^2)/(x-1)/(x-2)/(7*x-1) lgdogf] A162257 3.77974 [{(2*n+8)*a(n+4)+(-44-17*n)*a(n+3)+(75+22*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=-2,a(1)=7,a(2)=33,a(3)=82} ogf] A162257 5.32838 [(5971104*f(x)+129868331)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+7*x^2+f(x)-15*x+2) ogf] A162258 10.9612 [-(6*x^2-13*x+1)/(x-1)^4 ogf] A162258 19.9005 [-3*(-3-9*x+4*x^2)/(x-1)/(6*x^2-13*x+1) lgdogf] A162258 3.77974 [{(n+4)*a(n+4)+(-33-14*n)*a(n+3)+(65+19*n)*a(n+2)+(-18-6*n)*a(n+1),a(0)=-1,a(1)=9,a(2)=36,a(3)=86} ogf] A162258 5.32838 [(5823360*f(x)+109391423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+6*x^2+f(x)-13*x+1) ogf] A162259 10.8069 [-(10*x^2-21*x+5)/(x-1)^4 ogf] A162259 19.3903 [-(-1-43*x+20*x^2)/(x-1)/(10*x^2-21*x+5) lgdogf] A162259 3.72469 [{(-5*n-20)*a(n+4)+(77+26*n)*a(n+3)+(-105-31*n)*a(n+2)+(30+10*n)*a(n+1),a(0)=-5,a(1)=1,a(2)=24,a(3)=70} ogf] A162259 5.29163 [(6414336*f(x)+203886671)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+10*x^2+f(x)-21*x+5) ogf] A162260 11.1945 [-(2*x+1)*(x-2)/(x-1)^4 ogf] A162260 21.0436 [-(-11-5*x+4*x^2)/(x-1)/(x-2)/(2*x+1) lgdogf] A162260 3.86212 [{(-2*n-8)*a(n+4)+(8-n)*a(n+3)+(15+5*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=2,a(1)=11,a(2)=30,a(3)=62} ogf] A162260 5.59727 [(30645*f(x)+328132)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-3*x-2) ogf] A162261 11.6256 [-x*(5*x-11)/(x-1)^4 ogf] A162261 28.0082 [-3*(-13+5*x)/(x-1)/(5*x-11) lgdogf] A162261 4.91851 [{(-22-11*n)*a(n+3)+(55+16*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=11,a(2)=39} ogf] A162261 5.52005 [(5675616*f(x)+90891491)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+5*x^2+f(x)-11*x) ogf] A162262 10.9612 [-(8*x^2-17*x+3)/(x-1)^4 ogf] A162262 19.9005 [-(-5-35*x+16*x^2)/(x-1)/(8*x^2-17*x+3) lgdogf] A162262 3.76121 [{(3*n+12)*a(n+4)+(-55-20*n)*a(n+3)+(85+25*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=-3,a(1)=5,a(2)=30,a(3)=78} ogf] A162262 5.32838 [(6118848*f(x)+152394791)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+8*x^2+f(x)-17*x+3) ogf] A162263 10.8314 [(4*x^2-7*x+9)/(x-1)^4 ogf] A162263 20.3531 [-(29-13*x+8*x^2)/(x-1)/(4*x^2-7*x+9) lgdogf] A162263 5.30047 [(4345920*f(x)+1380983)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+7*x-9) ogf] A162264 10.8314 [(2*x^2-3*x+7)/(x-1)^4 ogf] A162264 20.9346 [-(25-5*x+4*x^2)/(x-1)/(2*x^2-3*x+7) lgdogf] A162264 5.26314 [(4641408*f(x)+10650911)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+3*x-7) ogf] A162265 11.1736 [-(4*x^2-9*x-1)/(x-1)^4 ogf] A162265 20.4384 [-(-13-19*x+8*x^2)/(x-1)/(4*x^2-9*x-1) lgdogf] A162265 3.79791 [{(-n-4)*a(n+4)+(-11-8*n)*a(n+3)+(45+13*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=1,a(1)=13,a(2)=42,a(3)=94} ogf] A162265 5.42941 [(5527872*f(x)+74295959)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-9*x-1) ogf] A162266 10.6295 [(9*x^2-17*x+14)/(x-1)^4 ogf] A162266 18.5010 [-3*(13-11*x+6*x^2)/(x-1)/(9*x^2-17*x+14) lgdogf] A162266 5.27758 [(3607200*f(x)-1167637)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)+17*x-14) ogf] A162267 10.8314 [(x^2-x+6)/(x-1)^4 ogf] A162267 25.2659 [-(23-x+2*x^2)/(x-1)/(x^2-x+6) lgdogf] A162267 3.69983 [{(-6*n-24)*a(n+4)+(44+7*n)*a(n+3)+(-5-2*n)*a(n+2)+(n+3)*a(n+1),a(0)=6,a(1)=23,a(2)=57,a(3)=114} ogf] A162267 5.37674 [(208224*f(x)+754093)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+x-6) ogf] A162268 15.1060 [(3*x-5)/(x^2+2*x-1) ogf] A162268 16.6610 [1/2/(-3+x)*(-5-2*x+(25+8*x+8*x^2)^(1/2)) revogf] A162268 18.5122 [-(-7-10*x+3*x^2)/(3*x-5)/(x^2+2*x-1) lgdogf] A162268 7.47 [-(24*f(x)-71)*(f(x)*x^2+2*f(x)*x-f(x)-3*x+5) ogf] A162268 8.28987 [{-a(n+2)+2*a(n+1)+a(n),a(0)=5,a(1)=7} ogf] A162269 14.0540 [-(8*x-5)/(2*x^2-4*x+1) ogf] A162269 15.4930 [-1/4*(-5-4*x+(25+8*x+8*x^2)^(1/2))/(4+x) revogf] A162269 16.3084 [-4*(3-5*x+4*x^2)/(8*x-5)/(2*x^2-4*x+1) lgdogf] A162269 7.10599 [-(7*f(x)+1)*(2*f(x)*x^2-4*f(x)*x+f(x)+8*x-5) ogf] A162269 7.61966 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=5,a(1)=12} ogf] A162270 13.2377 [-(13*x-5)/(7*x^2-6*x+1) ogf] A162270 13.8737 [-1/2*(-5-6*x+(25+8*x+8*x^2)^(1/2))/(13+7*x) revogf] A162270 14.9143 [-(17-70*x+91*x^2)/(13*x-5)/(7*x^2-6*x+1) lgdogf] A162270 6.54769 [-(32*f(x)+129)*(7*f(x)*x^2-6*f(x)*x+f(x)+13*x-5) ogf] A162270 7.33657 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=5,a(1)=17} ogf] A162271 11.6642 [-(18*x-5)/(14*x^2-8*x+1) ogf] A162271 12.1872 [-2*(11-70*x+126*x^2)/(18*x-5)/(14*x^2-8*x+1) lgdogf] A162271 12.7675 [-1/4*(-5-8*x+(25+8*x+8*x^2)^(1/2))/(9+7*x) revogf] A162271 5.9589 [-(9*f(x)+76)*(14*f(x)*x^2-8*f(x)*x+f(x)+18*x-5) ogf] A162271 6.52642 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=5,a(1)=22} ogf] A162272 12.3016 [-(2*x-1)/(22*x^2-10*x+1) ogf] A162272 12.5821 [-1/4*(-1-10*x+(1+12*x+12*x^2)^(1/2))/(1+11*x) revogf] A162272 13.4808 [-4*(2-11*x+11*x^2)/(2*x-1)/(22*x^2-10*x+1) lgdogf] A162272 6.88305 [{-a(n+2)+10*a(n+1)-22*a(n),a(0)=1,a(1)=8} ogf] A162272 9.01004 [(9*f(x)+7)*(22*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A162273 13.6006 [-(3*x-2)/(6*x^2-6*x+1) ogf] A162273 14.6259 [-1/3*(-1-3*x+(1+3*x+3*x^2)^(1/2))/(2*x+1) revogf] A162273 15.7806 [-3*(3-8*x+6*x^2)/(3*x-2)/(6*x^2-6*x+1) lgdogf] A162273 6.58093 [-(284*f(x)+161)*(6*f(x)*x^2-6*f(x)*x+f(x)+3*x-2) ogf] A162273 7.46373 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=2,a(1)=9} ogf] A162274 11.9178 [-(5*x-2)/(13*x^2-8*x+1) ogf] A162274 13.4059 [-(11-52*x+65*x^2)/(5*x-2)/(13*x^2-8*x+1) lgdogf] A162274 14.1115 [-(-1-4*x+(1+3*x+3*x^2)^(1/2))/(5+13*x) revogf] A162274 5.9589 [-(36*f(x)+49)*(13*f(x)*x^2-8*f(x)*x+f(x)+5*x-2) ogf] A162274 6.52642 [{a(n+2)-8*a(n+1)+13*a(n),a(0)=2,a(1)=11} ogf] A162275 15.3894 [-(7*x-2)/(22*x^2-10*x+1) ogf] A162275 16.9271 [-(13-88*x+154*x^2)/(7*x-2)/(22*x^2-10*x+1) lgdogf] A162275 18.7089 [-(-1-5*x+(1+3*x+3*x^2)^(1/2))/(7+22*x) revogf] A162275 7.77746 [-(42*f(x)+85)*(22*f(x)*x^2-10*f(x)*x+f(x)+7*x-2) ogf] A162275 8.50945 [{a(n+2)-10*a(n+1)+22*a(n),a(0)=2,a(1)=13} ogf] A162285 11.3942 [-(2*f(x)-1)*(f(x)*x^4-x^3+x^2+f(x)+x-1) ogf] A162285 17.3911 [(x+1)*(x-1)^2/(x^4+1) ogf] A162285 28.2485 [-(-1-3*x+x^5-x^4-4*x^3)/(x-1)/(x+1)/(1+x^4) lgdogf] A162285 29.9774 [x^7-x^3-x-1 ogf_with_Euler_transform] A162316 14.5133 [-2*(-13-9*x+7*x^2)/(x-1)/(14*x^2-23*x-1) lgdogf] A162316 4.91623 [(2524*f(x)-122763)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-14*x^2-f(x)+23*x+1) ogf] A162316 5.21811 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=26,a(2)=61} ogf] A162316 9.44229 [(14*x^2-23*x-1)/(x-1)^3 ogf] A162326 26.0163 [x*(-1+2*x)/(2*x+1)/(x-1) revogf] A162326 5.17686 [{9*a(n)*n+(-10*n-6)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A162326 6.64245 [-1/2*(x-1+2*(9*x-1)^(1/2)*(x-1)^(1/2)*x-(9*x-1)^(1/2)*(x-1)^(1/2))/(9*x-1)^(1/2)/(x-1)^(3/2)/x lgdogf] A162326 8.26954 [2*f(x)^2*x-2*f(x)^2-5*f(x)*x+5*f(x)+2*x-3 ogf] A162330 11.6266 [-(x^4-x^3-x^2+x-2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A162330 12.5433 [-(x^2-2*x-1)*(x^5+x^4+4*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3-x^2+x-2) lgdogf] A162330 8.52615 [f(x)*x^5-f(x)*x^4+x^4-x^3-f(x)*x-x^2+f(x)+x-2 ogf] A162356 12.7076 [-(7*x-2)/(14*x^2-8*x+1) ogf] A162356 14.6761 [-(9-56*x+98*x^2)/(7*x-2)/(14*x^2-8*x+1) lgdogf] A162356 14.6761 [-1/7*(-1-4*x+(1+x+2*x^2)^(1/2))/(2*x+1) revogf] A162356 6.35379 [-(16*f(x)+49)*(14*f(x)*x^2-8*f(x)*x+f(x)+7*x-2) ogf] A162356 7.04275 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=2,a(1)=9} ogf] A162395 15.5005 [-(x-1)/(x+1)^3 ogf] A162395 38.9182 [[-4+3*x] ogf_with_Euler_transform] A162395 43.0322 [-2*(-2+x)/(x-1)/(x+1) lgdogf] A162395 7.33504 [{a(n+3)+3*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=-4,a(2)=9} ogf] A162395 7.40112 [-(236*f(x)-321)*(f(x)*x^3+3*f(x)*x^2+3*f(x)*x+f(x)+x-1) ogf] A162396 12.0111 [{-a(n+2)+2*a(n),a(0)=5,a(1)=2} ogf] A162396 17.0824 [-2*f(x)*x^2+f(x)-2*x-5 ogf] A162396 18.7490 [-(2*x+5)/(2*x^2-1) ogf] A162396 21.5387 [1/4*(-5+(25+8*x+8*x^2)^(1/2))/(1+x) revogf] A162396 21.5387 [-2*(1+10*x+2*x^2)/(2*x+5)/(2*x^2-1) lgdogf] A162397 25.2133 [2*x^2-x-2 ogf_with_Euler_transform] A162397 27.7134 [-2*(-1-3*x+x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A162397 4.86645 [-(9*f(x)-71)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+2*f(x)*x+x^2+f(x)-1) ogf] A162397 9.73288 [-(x-1)*(x+1)/(x^2+x+1)^2 ogf] A162436 11.8862 [-(4*f(x)+1)*(3*f(x)*x^2-f(x)+3*x+1) ogf] A162436 12.4690 [{a(n+2)-3*a(n),a(0)=1,a(1)=3} ogf] A162436 19.4637 [-(3*x+1)/(3*x^2-1) ogf] A162436 21.7658 [1/6*(-1+(1+12*x+12*x^2)^(1/2))/(1+x) revogf] A162436 23.0462 [-3*(1+2*x+3*x^2)/(3*x+1)/(3*x^2-1) lgdogf] A162458 10.7853 [(x^38+x^11+x^8+x^6+2*x^4+2*x^3+3*x^2+27*x-39)/(x-1) ogf] A162460 8.64285 [-2*(1+x+13*x^3+x^7-2*x^6-7*x^5+13*x^4-14*x^2)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^3-x^2-4*x+2) lgdogf] A162460 8.75861 [-x*(x^3-x^2-4*x+2)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A162466 14.6039 [-(8*x+1)/(12*x^2-1) ogf] A162466 15.8066 [1/8*(-1+(48*x^2+32*x+1)^(1/2))/(2+3*x) revogf] A162466 16.6848 [-8*(1+3*x+12*x^2)/(8*x+1)/(12*x^2-1) lgdogf] A162466 8.28871 [-(19*f(x)+10)*(12*f(x)*x^2-f(x)+8*x+1) ogf] A162466 9.43637 [{a(n+2)-12*a(n),a(0)=1,a(1)=8} ogf] A162475 4.38446 [-f(x)*x^4+4*f(x)*x^3+x^4+f(x)^2*x-6*f(x)*x^2-4*x^3+4*f(x)*x+6*x^2-f(x)-4*x+1 ogf] A162476 5.83543 [f(x)*x^3+f(x)^2*x-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1 ogf] A162477 15.9185 [-1/2*(-1-2*x+(1+4*x+4*x^3)^(1/2))/x revogf] A162477 7.39384 [-f(x)^2*x+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A162478 14.8420 [-2*(1+3*x)/(x-1)/(x^4-4*x^3+6*x^2-8*x+1) lgdogf] A162478 4.77055 [-f(x)^2*x^4+4*f(x)^2*x^3-6*f(x)^2*x^2+x^4+8*f(x)^2*x-4*x^3-f(x)^2+6*x^2-4*x+1 ogf] A162479 11.1069 [-(3-2*x-4*x^3+x^4+6*x^2)/(x-1)/(x^4-4*x^3+6*x^2-8*x+1) lgdogf] A162479 5.51305 [f(x)^2*x^4-4*f(x)^2*x^3+6*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-x^2+2*x-1 ogf] A162480 14.3527 [-2*(x-2)*(x^2-x+1)/(x^4-4*x^3+6*x^2-8*x+1) lgdogf] A162480 6.21206 [-f(x)^2*x^4+4*f(x)^2*x^3-6*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A162481 4.94838 [-f(x)^2*x^4+3*f(x)^2*x^3-3*f(x)^2*x^2+f(x)*x^3+f(x)^2*x-3*f(x)*x^2+3*f(x)*x-f(x)+1 ogf] A162482 6.66705 [-f(x)^2*x^2-f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A162483 12.2548 [-(x^2-6*x+3)/(x-1)/(x^2-3*x+1) ogf] A162483 12.8784 [-(6-22*x-12*x^3+x^4+29*x^2)/(x-1)/(x^2-3*x+1)/(x^2-6*x+3) lgdogf] A162483 6.50034 [(655*f(x)+602)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-6*x+3) ogf] A162483 6.61541 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=3,a(1)=6,a(2)=13} ogf] A162484 5.45156 [(167*f(x)-223)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+4*x^3-2*f(x)*x+6*x^2+f(x)-4*x-2) ogf] A162484 7.18453 [-2*(2-x-2*x^3+x^6+3*x^5+2*x^4-x^2)/(x-1)/(x+1)/(x^2+2*x-1)/(2*x^3+3*x^2-2*x-1) lgdogf] A162484 9.98274 [-2*(2*x^3+3*x^2-2*x-1)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A162485 3.6883 [-(167*f(x)+34)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x+4*x^2+f(x)+2*x-4) ogf] A162485 6.89760 [-2*(x^3+2*x^2+x-2)/(x-1)/(x+1)/(x^2+2*x-1) ogf] A162485 7.29915 [-(3+4*x+x^6+4*x^5+9*x^4-13*x^2)/(x-1)/(x+1)/(x^2+2*x-1)/(x^3+2*x^2+x-2) lgdogf] A162495 6.66045 [(-3/x^13+1/x^12+3/x^9-1)/(x^2+1)*x^13/(x+1)/(x-1) ogf_with_Euler_transform] A162495 6.66045 [(3/x^9-3/x^13+1/x^12-1)/(x+1)/(x-1)/(x^2+1)*x^13 ogf_with_Euler_transform] A162496 15.5049 [-x^11-x^7-x^5-x+4 ogf_with_Euler_transform] A162496 5.57865 [(x^4+1)*(x^4-x^2+1)*(x^2+1)^2*(x^2+x+1)^2*(x^2-x+1)^2*(x+1)^4 ogf] A162500 6.94982 [(x+1)*(x^2-x+1)*(x^6+x^3+1)*(x^2+x+1)^3 ogf] A162500 7.46154 [(1/x^9-3/x^11+3/x^8-1)*x^11/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A162500 7.46154 [(3/x^8-3/x^11+1/x^9-1)*x^11/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A162500 9.45647 [3*(1+2*x+5*x^10+4*x^3+4*x^9+3*x^8+8*x^7+6*x^6+4*x^5+6*x^4+2*x^2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A162505 5.42228 [(x^2+1)*(x^4-x^2+1)*(x^6+x^3+1)*(x+1)^2*(x^2-x+1)^2*(x^2+x+1)^4 ogf] A162505 8.34664 [(4/x^11-4/x^14+1/x^12-1)/(x-1)/(x^2+x+1)*x^14 ogf_with_Euler_transform] A162505 8.34664 [(-4/x^14+4/x^11+1/x^12-1)*x^14/(x^2+x+1)/(x-1) ogf_with_Euler_transform] A162520 7.03948 [-(9*x^19-x^17-x^15-x^13-x^11-x^9-x^7-x^5-x^3-x-1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2/(x+1)^2 ogf] A162533 11.9998 [-(-1+2*x-8*x^3+4*x^4)/(x-1)/(2*x^2+2*x-1)/(2*x^2-2*x+1) lgdogf] A162533 8.34496 [-4*f(x)^2*x^4+4*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-x^2+2*x-1 ogf] A162540 10.3331 [(x^3-5*x^2+15*x+5)/(x-1)^4 ogf] A162540 17.5851 [-(35+35*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2+15*x+5) lgdogf] A162540 5.63625 [(256*f(x)+3179)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+5*x^2+f(x)-15*x-5) ogf] A162540 7.67603 [{(-2*n-9)*a(n+1)+(2*n+3)*a(n+2),a(0)=5,a(1)=35} ogf] A162543 6.337 [f(x)^2*x^3+f(x)^2*x-f(x)*x^2+f(x)*x-f(x)+1 ogf] A162548 6.75755 [2*f(x)^2*x^3+2*f(x)^2*x-f(x)*x^2-f(x)*x-f(x)+1 ogf] A162551 10.8703 [1/8*((x^2+12*x+4)^(1/2)*x+2*(x^2+12*x+4)^(1/2)-4-8*x+x^2)/x^2 revogf] A162551 5.55988 [{(-4*n^2-14*n-12)*a(n+1)+(n^2+4*n+3)*a(n+2),a(0)=0,a(1)=2} ogf] A162551 8.73695 [-4*f(x)^2*x^2+f(x)^2*x-8*f(x)*x+2*f(x)-4*x ogf] A162557 13.3109 [-1/2*(-1-8*x+(1+4*x+12*x^2)^(1/2))/(3+13*x) revogf] A162557 14.3092 [-(5-26*x+39*x^2)/(-1+3*x)/(13*x^2-8*x+1) lgdogf] A162557 16.9957 [-(3*x-1)/(13*x^2-8*x+1) ogf] A162557 8.49784 [-(14*f(x)+11)*(13*f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A162557 9.41928 [{a(n+2)-8*a(n+1)+13*a(n),a(0)=1,a(1)=5} ogf] A162558 12.0467 [-(4*x-1)/(22*x^2-10*x+1) ogf] A162558 12.5957 [-1/4*(-1-10*x+(1+4*x+12*x^2)^(1/2))/(2+11*x) revogf] A162558 12.8886 [-2*(3-22*x+44*x^2)/(-1+4*x)/(22*x^2-10*x+1) lgdogf] A162558 5.95993 [-(163*f(x)+161)*(22*f(x)*x^2-10*f(x)*x+f(x)+4*x-1) ogf] A162558 6.74039 [{a(n+2)-10*a(n+1)+22*a(n),a(0)=1,a(1)=6} ogf] A162559 17.7344 [(x-4)/(2*x^2+2*x-1) ogf] A162559 21.7939 [-(-7-16*x+2*x^2)/(x-4)/(2*x^2+2*x-1) lgdogf] A162559 22.4166 [(-2-x+(4+3*x+3*x^2)^(1/2))/(-1+2*x) revogf] A162559 8.76977 [-(30*f(x)-71)*(2*f(x)*x^2+2*f(x)*x-f(x)-x+4) ogf] A162559 9.73232 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=4,a(1)=7} ogf] A162560 13.0361 [-(10*x-3)/(6*x^2-6*x+1) ogf] A162560 13.9833 [-1/4*(-3-6*x+(9-4*x+12*x^2)^(1/2))/(5+3*x) revogf] A162560 14.6824 [-4*(2-9*x+15*x^2)/(10*x-3)/(6*x^2-6*x+1) lgdogf] A162560 6.37939 [-(387*f(x)-137)*(6*f(x)*x^2-6*f(x)*x+f(x)+10*x-3) ogf] A162560 7.31295 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=3,a(1)=8} ogf] A162561 12.4822 [-(17*x-4)/(22*x^2-10*x+1) ogf] A162561 13.3446 [-(23-176*x+374*x^2)/(17*x-4)/(22*x^2-10*x+1) lgdogf] A162561 15.0555 [-(-2-5*x+(4+3*x+3*x^2)^(1/2))/(17+22*x) revogf] A162561 6.3068 [-(54*f(x)+313)*(22*f(x)*x^2-10*f(x)*x+f(x)+17*x-4) ogf] A162561 7.04878 [{a(n+2)-10*a(n+1)+22*a(n),a(0)=4,a(1)=23} ogf] A162562 14.3356 [(2*x-5)/(2*x^2+2*x-1) ogf] A162562 15.4164 [1/4*(-5-2*x+(25+12*x+12*x^2)^(1/2))/(x-1) revogf] A162562 17.0830 [-4*(-2-5*x+x^2)/(2*x-5)/(2*x^2+2*x-1) lgdogf] A162562 7.16781 [-(9*f(x)-29)*(2*f(x)*x^2+2*f(x)*x-f(x)-2*x+5) ogf] A162562 7.86712 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=5,a(1)=8} ogf] A162563 14.7603 [-(7*x-5)/(x^2-4*x+1) ogf] A162563 15.5119 [-1/2*(-5-4*x+(25+12*x+12*x^2)^(1/2))/(7+x) revogf] A162563 18.0972 [-(13-10*x+7*x^2)/(7*x-5)/(x^2-4*x+1) lgdogf] A162563 7.29905 [-(42*f(x)-41)*(f(x)*x^2-4*f(x)*x+f(x)+7*x-5) ogf] A162563 8.00255 [{a(n+2)-4*a(n+1)+a(n),a(0)=5,a(1)=13} ogf] A162580 15.1763 [8128*x^15+124*x^7+7*x^3+x+2 ogf_with_Euler_transform] A162581 16.9403 [24*x^15+12*x^7+6*x^3+3*x+2 ogf_with_Euler_transform] A162596 3.87248 [-(x^15+x^12+x^9-2*x^6-x^3+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^9 ogf] A162607 10.5623 [x*(5*x^2-3*x+1)/(x-1)^4 ogf] A162607 23.0231 [-(1+x+10*x^2)/(x-1)/(5*x^2-3*x+1) lgdogf] A162607 3.93391 [{(n+3)*a(n+4)+(-9-4*n)*a(n+3)+(7+8*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A162607 5.46841 [-(675*f(x)+667)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x+3*x^2+f(x)-x) ogf] A162626 10.5344 [(-4-50*x^3+6*x^6-29*x^5+55*x^4+18*x^2)/(x-1)/(3*x^6-11*x^5+14*x^4-6*x^3+1) lgdogf] A162626 8.59670 [2*x*(3*x^6-11*x^5+14*x^4-6*x^3+1)/(x-1)^4 ogf] A162666 11.5615 [-(10*x-1)/(98*x^2-20*x+1) ogf] A162666 12.3498 [-2*(5-98*x+490*x^2)/(10*x-1)/(98*x^2-20*x+1) lgdogf] A162666 5.96722 [-(f(x)+24)*(98*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A162666 6.52884 [{a(n+2)-20*a(n+1)+98*a(n),a(0)=1,a(1)=10} ogf] A162667 11.5615 [-(10*x-1)/(97*x^2-20*x+1) ogf] A162667 12.3498 [-2*(5-97*x+485*x^2)/(10*x-1)/(97*x^2-20*x+1) lgdogf] A162667 5.96722 [-(3*f(x)+47)*(97*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A162667 6.52884 [{a(n+2)-20*a(n+1)+97*a(n),a(0)=1,a(1)=10} ogf] A162668 11.8882 [-8*x/(x-1)^5 ogf] A162668 57.1591 [[5] ogf_with_Euler_transform] A162668 7.27142 [{(n+1)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=8} ogf] A162668 92.2756 [-5/(x-1) lgdogf] A162669 47.7880 [[7] ogf_with_Euler_transform] A162669 5.98870 [{(n+1)*a(n+2)+(-7-n)*a(n+1),a(0)=0,a(1)=144} ogf] A162669 7.57606 [-144*x/(x-1)^7 ogf] A162669 77.3799 [-7/(x-1) lgdogf] A162670 18.3905 [1/200/x*(-1-x+(1+2*x+401*x^2)^(1/2)) revogf] A162670 19.2583 [-1/(100*x^2+x-1) ogf] A162670 27.5857 [-(1+200*x)/(100*x^2-1+x) lgdogf] A162670 7.40703 [(10301*f(x)-10300)*(100*f(x)*x^2+f(x)*x-f(x)+1) ogf] A162670 8.02427 [{-a(n+2)+a(n+1)+100*a(n),a(0)=1,a(1)=1} ogf] A162671 5.08594 [(2101202*f(x)-9793)*(f(x)*x^4-102*f(x)*x^2+x^2+f(x)-x-1) ogf] A162671 7.18578 [-(1+202*x-4*x^3-3*x^4+2*x^5+102*x^2)/(x^2+10*x-1)/(x^2-10*x-1)/(x^2-x-1) lgdogf] A162671 8.96505 [-(x^2-x-1)/(x^2+10*x-1)/(x^2-10*x-1) ogf] A162672 10.7987 [-x*(90*x^10-90*x^9+10*x-11)/(x-1)^2 ogf] A162672 11.6140 [2*(6-5*x-765*x^9+405*x^8+360*x^10)/(x-1)/(90*x^10-90*x^9+10*x-11) lgdogf] A162673 22.1199 [-3*(4+10*x+x^2)/(x-1)/(x^2+7*x+1) lgdogf] A162673 3.87715 [{(n+3)*a(n+4)+6*n*a(n+3)+(-36-6*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=4,a(2)=48,a(3)=204} ogf] A162673 8.81590 [-4*x*(x^2+7*x+1)/(x-1)^5 ogf] A162674 5.47491 [-x*(x^4+90*x^3+298*x^2+90*x+1)/(x-1)^7 ogf] A162674 9.45763 [-(97+1136*x+364*x^3+3*x^4+1760*x^2)/(x-1)/(x^4+90*x^3+298*x^2+90*x+1) lgdogf] A162675 4.27179 [-6*x^2*(19*x^4+314*x^3+734*x^2+314*x+19)/(x-1)^9 ogf] A162675 8.46104 [-5*(97+796*x+392*x^3+19*x^4+1216*x^2)/(x-1)/(19*x^4+314*x^3+734*x^2+314*x+19) lgdogf] A162698 5.67875 [(x^9+4*x^8-3*x^7+7*x^6-5*x^5+8*x^4-5*x^3+7*x^2-3*x+4)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A162699 9.48046 [(x^2+1)*(x^4+2*x^3+x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A162723 4.99066 [-(26*f(x)-29)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+19*x^2-f(x)-8*x+1) ogf] A162723 5.25332 [{-a(n+3)+9*a(n+2)-26*a(n+1)+24*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A162723 7.92347 [-(1-14*x-384*x^3+456*x^4+109*x^2)/(-1+3*x)/(2*x-1)/(-1+4*x)/(19*x^2-8*x+1) lgdogf] A162723 9.35748 [-(19*x^2-8*x+1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A162725 10.4614 [-(13*x^2-7*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A162725 5.67395 [(221*f(x)-251)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+13*x^2-f(x)-7*x+1) ogf] A162725 5.87304 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A162725 9.38074 [-(2*x-1)*(78*x^3-45*x^2+10*x-1)/(x-1)/(-1+3*x)/(-1+4*x)/(13*x^2-7*x+1) lgdogf] A162729 12.8486 [10*x/(-1+25*x)/(5*x-1) ogf] A162729 14.4021 [-1/25*(-1-3*x+(1+6*x+4*x^2)^(1/2))/x revogf] A162729 17.2825 [-10*(-3+25*x)/(25*x-1)/(5*x-1) lgdogf] A162729 6.19755 [{a(n+2)-30*a(n+1)+125*a(n),a(0)=0,a(1)=10} ogf] A162729 8.36178 [-125*f(x)*x^2+30*f(x)*x-f(x)+10*x ogf] A162740 11.4964 [(x^2+x+1)*(x+1)/(x-1)/(3*x^2+x-1) ogf] A162740 5.91979 [{-a(n+4)+2*a(n+3)+2*a(n+2)-3*a(n+1),a(0)=1,a(1)=4,a(2)=12,a(3)=30} ogf] A162740 6.66598 [(-1+3*f(x))*(3*f(x)*x^3-2*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162743 4.29564 [{-a(n+4)+4*a(n+3)+4*a(n+2)-10*a(n+1),a(0)=1,a(1)=6,a(2)=30,a(3)=135} ogf] A162743 4.86839 [(-2+5*f(x))*(10*f(x)*x^3-4*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162743 8.34581 [(x^2+x+1)*(x+1)/(10*x^3-4*x^2-4*x+1) ogf] A162744 4.29815 [{-a(n+4)+5*a(n+3)+5*a(n+2)-15*a(n+1),a(0)=1,a(1)=7,a(2)=42,a(3)=231} ogf] A162744 4.83098 [(-5+12*f(x))*(15*f(x)*x^3-5*f(x)*x^2-x^3-5*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162744 8.35069 [(x^2+x+1)*(x+1)/(15*x^3-5*x^2-5*x+1) ogf] A162746 5.72205 [(26*f(x)-53)*(11*f(x)*x^4-28*f(x)*x^3+23*f(x)*x^2+8*x^3-8*f(x)*x-12*x^2+f(x)+6*x-1) ogf] A162746 8.00447 [-(2*x-1)^3/(11*x^4-28*x^3+23*x^2-8*x+1) ogf] A162746 9.34308 [-2*(1-7*x-22*x^3+11*x^4+19*x^2)/(2*x-1)/(11*x^4-28*x^3+23*x^2-8*x+1) lgdogf] A162748 3.82364 [{(-2*n-4)*a(n+1)+(n-4)*a(n+2)-2*a(n+4)+8*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A162754 4.16318 [{-a(n+4)+6*a(n+3)+6*a(n+2)-21*a(n+1),a(0)=1,a(1)=8,a(2)=56,a(3)=364} ogf] A162754 4.71828 [(-3+7*f(x))*(21*f(x)*x^3-6*f(x)*x^2-x^3-6*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162754 8.08847 [(x^2+x+1)*(x+1)/(21*x^3-6*x^2-6*x+1) ogf] A162755 4.40549 [{-a(n+4)+7*a(n+3)+7*a(n+2)-28*a(n+1),a(0)=1,a(1)=9,a(2)=72,a(3)=540} ogf] A162755 4.95162 [(-7+16*f(x))*(28*f(x)*x^3-7*f(x)*x^2-x^3-7*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162755 8.55923 [(x^2+x+1)*(x+1)/(28*x^3-7*x^2-7*x+1) ogf] A162756 4.61386 [{-a(n+4)+8*a(n+3)+8*a(n+2)-36*a(n+1),a(0)=1,a(1)=10,a(2)=90,a(3)=765} ogf] A162756 5.2675 [(-4+9*f(x))*(36*f(x)*x^3-8*f(x)*x^2-x^3-8*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162756 9.02999 [(x^2+x+1)*(x+1)/(36*x^3-8*x^2-8*x+1) ogf] A162757 12.7478 [-(5*x-1)/(33*x^2-12*x+1) ogf] A162757 13.3446 [-1/2*(-1-12*x+(1+4*x+12*x^2)^(1/2))/(5+33*x) revogf] A162757 14.3211 [-(7-66*x+165*x^2)/(5*x-1)/(33*x^2-12*x+1) lgdogf] A162757 6.44244 [-(18*f(x)+31)*(33*f(x)*x^2-12*f(x)*x+f(x)+5*x-1) ogf] A162757 7.13269 [{a(n+2)-12*a(n+1)+33*a(n),a(0)=1,a(1)=7} ogf] A162758 13.3852 [-(6*x-1)/(46*x^2-14*x+1) ogf] A162758 14.0255 [-1/4*(-1-14*x+(1+4*x+12*x^2)^(1/2))/(3+23*x) revogf] A162758 14.6933 [-4*(2-23*x+69*x^2)/(6*x-1)/(46*x^2-14*x+1) lgdogf] A162758 6.62215 [-(353*f(x)+671)*(46*f(x)*x^2-14*f(x)*x+f(x)+6*x-1) ogf] A162758 7.48932 [{a(n+2)-14*a(n+1)+46*a(n),a(0)=1,a(1)=8} ogf] A162759 12.1536 [-(7*x-1)/(61*x^2-16*x+1) ogf] A162759 12.7146 [-1/2*(-16*x-1+(1+4*x+12*x^2)^(1/2))/(7+61*x) revogf] A162759 13.3201 [-(9-122*x+427*x^2)/(7*x-1)/(61*x^2-16*x+1) lgdogf] A162759 6.14216 [-(22*f(x)+59)*(61*f(x)*x^2-16*f(x)*x+f(x)+7*x-1) ogf] A162759 6.80025 [{a(n+2)-16*a(n+1)+61*a(n),a(0)=1,a(1)=9} ogf] A162760 4.17306 [{-a(n+4)+9*a(n+3)+9*a(n+2)-45*a(n+1),a(0)=1,a(1)=11,a(2)=110,a(3)=1045} ogf] A162760 4.79384 [(-9+20*f(x))*(45*f(x)*x^3-9*f(x)*x^2-x^3-9*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162760 8.28650 [(x^2+x+1)*(x+1)/(45*x^3-9*x^2-9*x+1) ogf] A162761 6.02506 [x*(x^3-x^2-2)/(x+1)/(x-1)^3 ogf] A162761 6.49111 [-(4408*f(x)-27519)*(f(x)*x^4-2*f(x)*x^3-x^4+x^3+2*f(x)*x-f(x)+2*x) ogf] A162761 9.07694 [-(-4-10*x+x^4+x^2)/(x-1)/(x+1)/(x^3-x^2-2) lgdogf] A162766 10.1257 [(76*f(x)-295)*(3*f(x)*x^2-f(x)+3*x+4) ogf] A162766 11.0750 [{-a(n+2)+3*a(n),a(0)=4,a(1)=3} ogf] A162766 17.2878 [-(3*x+4)/(3*x^2-1) ogf] A162766 20.4321 [1/3*(-2+(4+3*x+3*x^2)^(1/2))/(1+x) revogf] A162766 20.4321 [-3*(1+8*x+3*x^2)/(3*x+4)/(3*x^2-1) lgdogf] A162767 3.93582 [{-a(n+4)+10*a(n+3)+10*a(n+2)-55*a(n+1),a(0)=1,a(1)=12,a(2)=132,a(3)=1386} ogf] A162767 4.5118 [(-5+11*f(x))*(55*f(x)*x^3-10*f(x)*x^2-x^3-10*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162767 7.70765 [(x^2+x+1)*(x+1)/(55*x^3-10*x^2-10*x+1) ogf] A162768 3.97682 [{-a(n+4)+11*a(n+3)+11*a(n+2)-66*a(n+1),a(0)=1,a(1)=13,a(2)=156,a(3)=1794} ogf] A162768 4.52203 [(-11+24*f(x))*(66*f(x)*x^3-11*f(x)*x^2-x^3-11*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162768 7.78794 [(x^2+x+1)*(x+1)/(66*x^3-11*x^2-11*x+1) ogf] A162769 12.1783 [(x+1)/(11*x^2-8*x+1) ogf] A162769 12.1826 [-1/2*(-1-8*x+(1+20*x+20*x^2)^(1/2))/(-1+11*x) revogf] A162769 14.4268 [-(-9+22*x+11*x^2)/(x+1)/(11*x^2-8*x+1) lgdogf] A162769 6.36593 [(50*f(x)+31)*(11*f(x)*x^2-8*f(x)*x+f(x)-x-1) ogf] A162769 6.74942 [{-a(n+2)+8*a(n+1)-11*a(n),a(0)=1,a(1)=9} ogf] A162770 14.3061 [-(3*x+2)/(4*x^2+2*x-1) ogf] A162770 16.6026 [-(7+16*x+12*x^2)/(3*x+2)/(4*x^2+2*x-1) lgdogf] A162770 18.5559 [(-1-x+(1+5*x+5*x^2)^(1/2))/(3+4*x) revogf] A162770 7.39971 [(30*f(x)-11)*(4*f(x)*x^2+2*f(x)*x-f(x)+3*x+2) ogf] A162770 7.85093 [{a(n+2)-2*a(n+1)-4*a(n),a(0)=2,a(1)=7} ogf] A162771 12.9900 [-(x-2)/(4*x^2-6*x+1) ogf] A162771 15.4695 [-(-1-3*x+(1+5*x+5*x^2)^(1/2))/(1+4*x) revogf] A162771 15.8992 [-(11-16*x+4*x^2)/(x-2)/(4*x^2-6*x+1) lgdogf] A162771 6.71895 [(50*f(x)+21)*(4*f(x)*x^2-6*f(x)*x+f(x)+x-2) ogf] A162771 7.04275 [{-a(n+2)+6*a(n+1)-4*a(n),a(0)=2,a(1)=11} ogf] A162772 12.4388 [-(3*x-2)/(11*x^2-8*x+1) ogf] A162772 14.0050 [-(13-44*x+33*x^2)/(3*x-2)/(11*x^2-8*x+1) lgdogf] A162772 14.7421 [-(-1-4*x+(1+5*x+5*x^2)^(1/2))/(3+11*x) revogf] A162772 6.5021 [(60*f(x)+49)*(11*f(x)*x^2-8*f(x)*x+f(x)+3*x-2) ogf] A162772 6.81171 [{-a(n+2)+8*a(n+1)-11*a(n),a(0)=2,a(1)=13} ogf] A162773 12.9390 [-(5*x-2)/(20*x^2-10*x+1) ogf] A162773 13.8640 [-5*(10*x-3)*(2*x-1)/(5*x-2)/(20*x^2-10*x+1) lgdogf] A162773 14.5403 [-1/5*(-1-5*x+(1+5*x+5*x^2)^(1/2))/(1+4*x) revogf] A162773 6.83296 [(14*f(x)+17)*(20*f(x)*x^2-10*f(x)*x+f(x)+5*x-2) ogf] A162773 7.15451 [{-a(n+2)+10*a(n+1)-20*a(n),a(0)=2,a(1)=15} ogf] A162783 3.61687 [{-a(n+4)+12*a(n+3)+12*a(n+2)-78*a(n+1),a(0)=1,a(1)=14,a(2)=182,a(3)=2275} ogf] A162783 4.14617 [(-6+13*f(x))*(78*f(x)*x^3-12*f(x)*x^2-x^3-12*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162783 7.08303 [(x^2+x+1)*(x+1)/(78*x^3-12*x^2-12*x+1) ogf] A162785 3.69724 [{-a(n+4)+13*a(n+3)+13*a(n+2)-91*a(n+1),a(0)=1,a(1)=15,a(2)=210,a(3)=2835} ogf] A162785 4.20412 [(-13+28*f(x))*(91*f(x)*x^3-13*f(x)*x^2-x^3-13*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162785 7.24043 [(x^2+x+1)*(x+1)/(91*x^3-13*x^2-13*x+1) ogf] A162791 3.75101 [{-a(n+4)+14*a(n+3)+14*a(n+2)-105*a(n+1),a(0)=1,a(1)=16,a(2)=240,a(3)=3480} ogf] A162791 4.29552 [(-7+15*f(x))*(105*f(x)*x^3-14*f(x)*x^2-x^3-14*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162791 7.29648 [(x^2+x+1)*(x+1)/(105*x^3-14*x^2-14*x+1) ogf] A162803 3.83082 [{-a(n+4)+15*a(n+3)+15*a(n+2)-120*a(n+1),a(0)=1,a(1)=17,a(2)=272,a(3)=4216} ogf] A162803 4.35182 [(-15+32*f(x))*(120*f(x)*x^3-15*f(x)*x^2-x^3-15*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162803 7.45173 [(x^2+x+1)*(x+1)/(120*x^3-15*x^2-15*x+1) ogf] A162804 3.91063 [{-a(n+4)+16*a(n+3)+16*a(n+2)-136*a(n+1),a(0)=1,a(1)=18,a(2)=306,a(3)=5049} ogf] A162804 4.4783 [(-8+17*f(x))*(136*f(x)*x^3-16*f(x)*x^2-x^3-16*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162804 7.60697 [(x^2+x+1)*(x+1)/(136*x^3-16*x^2-16*x+1) ogf] A162805 3.45597 [{-a(n+4)+17*a(n+3)+17*a(n+2)-153*a(n+1),a(0)=1,a(1)=19,a(2)=342,a(3)=5985} ogf] A162805 3.92599 [(-17+36*f(x))*(153*f(x)*x^3-17*f(x)*x^2-x^3-17*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162805 6.72258 [(x^2+x+1)*(x+1)/(153*x^3-17*x^2-17*x+1) ogf] A162806 3.51455 [{-a(n+4)+18*a(n+3)+18*a(n+2)-171*a(n+1),a(0)=1,a(1)=20,a(2)=380,a(3)=7030} ogf] A162806 4.02473 [(-9+19*f(x))*(171*f(x)*x^3-18*f(x)*x^2-x^3-18*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162806 6.83652 [(x^2+x+1)*(x+1)/(171*x^3-18*x^2-18*x+1) ogf] A162807 3.57313 [{-a(n+4)+19*a(n+3)+19*a(n+2)-190*a(n+1),a(0)=1,a(1)=21,a(2)=420,a(3)=8190} ogf] A162807 4.05907 [(-19+40*f(x))*(190*f(x)*x^3-19*f(x)*x^2-x^3-19*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162807 6.95047 [(x^2+x+1)*(x+1)/(190*x^3-19*x^2-19*x+1) ogf] A162808 3.61218 [{-a(n+4)+20*a(n+3)+20*a(n+2)-210*a(n+1),a(0)=1,a(1)=22,a(2)=462,a(3)=9471} ogf] A162808 4.10343 [(-10+21*f(x))*(210*f(x)*x^3-20*f(x)*x^2-x^3-20*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162808 7.02642 [(x^2+x+1)*(x+1)/(210*x^3-20*x^2-20*x+1) ogf] A162809 3.68386 [{-a(n+4)+21*a(n+3)+21*a(n+2)-231*a(n+1),a(0)=1,a(1)=23,a(2)=506,a(3)=10879} ogf] A162809 4.21433 [(-21+44*f(x))*(231*f(x)*x^3-21*f(x)*x^2-x^3-21*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162809 7.21633 [(x^2+x+1)*(x+1)/(231*x^3-21*x^2-21*x+1) ogf] A162810 3.68386 [{-a(n+4)+22*a(n+3)+22*a(n+2)-253*a(n+1),a(0)=1,a(1)=24,a(2)=552,a(3)=12420} ogf] A162810 4.21433 [(-11+23*f(x))*(253*f(x)*x^3-22*f(x)*x^2-x^3-22*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162810 7.21633 [(x^2+x+1)*(x+1)/(253*x^3-22*x^2-22*x+1) ogf] A162811 3.74203 [{-a(n+4)+23*a(n+3)+23*a(n+2)-276*a(n+1),a(0)=1,a(1)=25,a(2)=600,a(3)=14100} ogf] A162811 4.28088 [(-23+48*f(x))*(276*f(x)*x^3-23*f(x)*x^2-x^3-23*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162811 7.33027 [(x^2+x+1)*(x+1)/(276*x^3-23*x^2-23*x+1) ogf] A162812 3.76141 [{-a(n+4)+24*a(n+3)+24*a(n+2)-300*a(n+1),a(0)=1,a(1)=26,a(2)=650,a(3)=15925} ogf] A162812 4.30306 [(-12+25*f(x))*(300*f(x)*x^3-24*f(x)*x^2-x^3-24*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162812 7.36825 [(x^2+x+1)*(x+1)/(300*x^3-24*x^2-24*x+1) ogf] A162813 11.1852 [{-a(n+2)+3*a(n),a(0)=5,a(1)=3} ogf] A162813 17.4598 [-(3*x+5)/(3*x^2-1) ogf] A162813 17.7583 [-3*f(x)*x^2+f(x)-3*x-5 ogf] A162813 18.9661 [1/6*(-5+(25+12*x+12*x^2)^(1/2))/(1+x) revogf] A162813 20.0499 [-3*(1+10*x+3*x^2)/(3*x+5)/(3*x^2-1) lgdogf] A162814 13.6409 [-(12*x-5)/(6*x^2-6*x+1) ogf] A162814 14.3050 [-1/12*(-5-6*x+(25+12*x+12*x^2)^(1/2))/(x+2) revogf] A162814 15.0029 [-6*(3-10*x+12*x^2)/(12*x-5)/(6*x^2-6*x+1) lgdogf] A162814 6.74711 [-(575*f(x)+41)*(6*f(x)*x^2-6*f(x)*x+f(x)+12*x-5) ogf] A162814 7.56001 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=5,a(1)=18} ogf] A162815 11.9829 [-(17*x-5)/(13*x^2-8*x+1) ogf] A162815 11.9829 [-1/2*(-5-8*x+(25+12*x+12*x^2)^(1/2))/(17+13*x) revogf] A162815 12.8189 [-(23-130*x+221*x^2)/(17*x-5)/(13*x^2-8*x+1) lgdogf] A162815 5.99146 [-(54*f(x)+259)*(13*f(x)*x^2-8*f(x)*x+f(x)+17*x-5) ogf] A162815 6.70473 [{a(n+2)-8*a(n+1)+13*a(n),a(0)=5,a(1)=23} ogf] A162816 13.2311 [-(27*x-5)/(33*x^2-12*x+1) ogf] A162816 13.5459 [-1/6*(-5-12*x+(25+12*x+12*x^2)^(1/2))/(9+11*x) revogf] A162816 14.1616 [-33*(1-10*x+27*x^2)/(27*x-5)/(33*x^2-12*x+1) lgdogf] A162816 6.68521 [-(80*f(x)+689)*(33*f(x)*x^2-12*f(x)*x+f(x)+27*x-5) ogf] A162816 7.47171 [{a(n+2)-12*a(n+1)+33*a(n),a(0)=5,a(1)=33} ogf] A162827 3.81958 [{-a(n+4)+25*a(n+3)+25*a(n+2)-325*a(n+1),a(0)=1,a(1)=27,a(2)=702,a(3)=17901} ogf] A162827 4.3696 [(-25+52*f(x))*(325*f(x)*x^3-25*f(x)*x^2-x^3-25*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162827 7.48219 [(x^2+x+1)*(x+1)/(325*x^3-25*x^2-25*x+1) ogf] A162830 3.83897 [{-a(n+4)+26*a(n+3)+26*a(n+2)-351*a(n+1),a(0)=1,a(1)=28,a(2)=756,a(3)=20034} ogf] A162830 4.39178 [(-13+27*f(x))*(351*f(x)*x^3-26*f(x)*x^2-x^3-26*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162830 7.52018 [(x^2+x+1)*(x+1)/(351*x^3-26*x^2-26*x+1) ogf] A162831 3.87775 [{-a(n+4)+27*a(n+3)+27*a(n+2)-378*a(n+1),a(0)=1,a(1)=29,a(2)=812,a(3)=22330} ogf] A162831 4.43614 [(-27+56*f(x))*(378*f(x)*x^3-27*f(x)*x^2-x^3-27*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162831 7.59614 [(x^2+x+1)*(x+1)/(378*x^3-27*x^2-27*x+1) ogf] A162833 3.91652 [{-a(n+4)+28*a(n+3)+28*a(n+2)-406*a(n+1),a(0)=1,a(1)=30,a(2)=870,a(3)=24795} ogf] A162833 4.4805 [(-14+29*f(x))*(406*f(x)*x^3-28*f(x)*x^2-x^3-28*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162833 7.67210 [(x^2+x+1)*(x+1)/(406*x^3-28*x^2-28*x+1) ogf] A162835 3.95530 [{-a(n+4)+29*a(n+3)+29*a(n+2)-435*a(n+1),a(0)=1,a(1)=31,a(2)=930,a(3)=27435} ogf] A162835 4.52486 [(-29+60*f(x))*(435*f(x)*x^3-29*f(x)*x^2-x^3-29*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162835 7.74805 [(x^2+x+1)*(x+1)/(435*x^3-29*x^2-29*x+1) ogf] A162836 3.95530 [{-a(n+4)+30*a(n+3)+30*a(n+2)-465*a(n+1),a(0)=1,a(1)=32,a(2)=992,a(3)=30256} ogf] A162836 4.52486 [(-15+31*f(x))*(465*f(x)*x^3-30*f(x)*x^2-x^3-30*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162836 7.74805 [(x^2+x+1)*(x+1)/(465*x^3-30*x^2-30*x+1) ogf] A162837 4.06261 [{-a(n+4)+31*a(n+3)+31*a(n+2)-496*a(n+1),a(0)=1,a(1)=33,a(2)=1056,a(3)=33264} ogf] A162837 4.68013 [(-31+64*f(x))*(496*f(x)*x^3-31*f(x)*x^2-x^3-31*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162837 8.01392 [(x^2+x+1)*(x+1)/(496*x^3-31*x^2-31*x+1) ogf] A162838 4.06261 [{-a(n+4)+32*a(n+3)+32*a(n+2)-528*a(n+1),a(0)=1,a(1)=34,a(2)=1122,a(3)=36465} ogf] A162838 4.68013 [(-16+33*f(x))*(528*f(x)*x^3-32*f(x)*x^2-x^3-32*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162838 8.01392 [(x^2+x+1)*(x+1)/(528*x^3-32*x^2-32*x+1) ogf] A162847 4.06261 [{-a(n+4)+33*a(n+3)+33*a(n+2)-561*a(n+1),a(0)=1,a(1)=35,a(2)=1190,a(3)=39865} ogf] A162847 4.68013 [(-33+68*f(x))*(561*f(x)*x^3-33*f(x)*x^2-x^3-33*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162847 8.01392 [(x^2+x+1)*(x+1)/(561*x^3-33*x^2-33*x+1) ogf] A162849 7.01577 [x*(100*x^2-10*x-1)/(x-1)/(x+1)/(90*x^2-1)/(110*x^2-1) ogf] A162850 4.10112 [{-a(n+4)+34*a(n+3)+34*a(n+2)-595*a(n+1),a(0)=1,a(1)=36,a(2)=1260,a(3)=43470} ogf] A162850 4.72449 [(-17+35*f(x))*(595*f(x)*x^3-34*f(x)*x^2-x^3-34*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162850 8.08989 [(x^2+x+1)*(x+1)/(595*x^3-34*x^2-34*x+1) ogf] A162851 4.12038 [{-a(n+4)+35*a(n+3)+35*a(n+2)-630*a(n+1),a(0)=1,a(1)=37,a(2)=1332,a(3)=47286} ogf] A162851 4.74667 [(-35+72*f(x))*(630*f(x)*x^3-35*f(x)*x^2-x^3-35*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162851 8.12786 [(x^2+x+1)*(x+1)/(630*x^3-35*x^2-35*x+1) ogf] A162852 15.5211 [(x-3)/(3*x^2-1) ogf] A162852 17.8506 [1/2/(-1+3*x)*(-3+(9-4*x+12*x^2)^(1/2)) revogf] A162852 21.8814 [-(1-18*x+3*x^2)/(x-3)/(3*x^2-1) lgdogf] A162852 8.48486 [-(252*f(x)-755)*(3*f(x)*x^2-f(x)-x+3) ogf] A162852 9.94320 [{a(n+2)-3*a(n),a(0)=3,a(1)=-1} ogf] A162858 3.57312 [{-a(n+4)+36*a(n+3)+36*a(n+2)-666*a(n+1),a(0)=1,a(1)=38,a(2)=1406,a(3)=51319} ogf] A162858 4.11624 [(-18+37*f(x))*(666*f(x)*x^3-36*f(x)*x^2-x^3-36*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162858 7.04836 [(x^2+x+1)*(x+1)/(666*x^3-36*x^2-36*x+1) ogf] A162871 3.61074 [{-a(n+4)+37*a(n+3)+37*a(n+2)-703*a(n+1),a(0)=1,a(1)=39,a(2)=1482,a(3)=55575} ogf] A162871 4.15957 [(-37+76*f(x))*(703*f(x)*x^3-37*f(x)*x^2-x^3-37*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162871 7.12255 [(x^2+x+1)*(x+1)/(703*x^3-37*x^2-37*x+1) ogf] A162877 3.62954 [{-a(n+4)+38*a(n+3)+38*a(n+2)-741*a(n+1),a(0)=1,a(1)=40,a(2)=1560,a(3)=60060} ogf] A162877 4.18123 [(-19+39*f(x))*(741*f(x)*x^3-38*f(x)*x^2-x^3-38*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162877 7.15964 [(x^2+x+1)*(x+1)/(741*x^3-38*x^2-38*x+1) ogf] A162878 3.64835 [{-a(n+4)+39*a(n+3)+39*a(n+2)-780*a(n+1),a(0)=1,a(1)=41,a(2)=1640,a(3)=64780} ogf] A162878 4.20289 [(-39+80*f(x))*(780*f(x)*x^3-39*f(x)*x^2-x^3-39*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162878 7.19674 [(x^2+x+1)*(x+1)/(780*x^3-39*x^2-39*x+1) ogf] A162879 3.66715 [{-a(n+4)+40*a(n+3)+40*a(n+2)-820*a(n+1),a(0)=1,a(1)=42,a(2)=1722,a(3)=69741} ogf] A162879 4.22456 [(-20+41*f(x))*(820*f(x)*x^3-40*f(x)*x^2-x^3-40*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162879 7.23384 [(x^2+x+1)*(x+1)/(820*x^3-40*x^2-40*x+1) ogf] A162881 3.68596 [{-a(n+4)+41*a(n+3)+41*a(n+2)-861*a(n+1),a(0)=1,a(1)=43,a(2)=1806,a(3)=74949} ogf] A162881 4.24622 [(-41+84*f(x))*(861*f(x)*x^3-41*f(x)*x^2-x^3-41*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162881 7.27093 [(x^2+x+1)*(x+1)/(861*x^3-41*x^2-41*x+1) ogf] A162882 3.70476 [{-a(n+4)+42*a(n+3)+42*a(n+2)-903*a(n+1),a(0)=1,a(1)=44,a(2)=1892,a(3)=80410} ogf] A162882 4.26789 [(-21+43*f(x))*(903*f(x)*x^3-42*f(x)*x^2-x^3-42*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162882 7.30803 [(x^2+x+1)*(x+1)/(903*x^3-42*x^2-42*x+1) ogf] A162885 3.72357 [{-a(n+4)+43*a(n+3)+43*a(n+2)-946*a(n+1),a(0)=1,a(1)=45,a(2)=1980,a(3)=86130} ogf] A162885 4.28955 [(-43+88*f(x))*(946*f(x)*x^3-43*f(x)*x^2-x^3-43*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162885 7.34512 [(x^2+x+1)*(x+1)/(946*x^3-43*x^2-43*x+1) ogf] A162889 3.74238 [{-a(n+4)+44*a(n+3)+44*a(n+2)-990*a(n+1),a(0)=1,a(1)=46,a(2)=2070,a(3)=92115} ogf] A162889 4.31122 [(-22+45*f(x))*(990*f(x)*x^3-44*f(x)*x^2-x^3-44*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162889 7.38222 [(x^2+x+1)*(x+1)/(990*x^3-44*x^2-44*x+1) ogf] A162896 3.71657 [{-a(n+4)+45*a(n+3)+45*a(n+2)-1035*a(n+1),a(0)=1,a(1)=47,a(2)=2162,a(3)=98371} ogf] A162896 4.277 [(-45+92*f(x))*(1035*f(x)*x^3-45*f(x)*x^2-x^3-45*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162896 7.28246 [(x^2+x+1)*(x+1)/(1035*x^3-45*x^2-45*x+1) ogf] A162897 10.1873 [(x^7-x^6+x^4-x^3-x^2+2)/(x+1)/(x-1)^2 ogf] A162897 10.5881 [(-2-4*x+7*x^5-2*x^3-x^4-6*x^6+4*x^8+4*x^2-4*x^7)/(x-1)/(x+1)/(x^7-x^6+x^4-x^3-x^2+2) lgdogf] A162899 10.9703 [-2*(5+4*x+4*x^5-10*x^3-2*x^4+7*x^2)/(x-1)/(x+1)/(4*x^4-4*x^3-7*x^2+8*x+1) lgdogf] A162899 8.08150 [(4*x^4-4*x^3-7*x^2+8*x+1)/(x+1)^2/(x-1)^4 ogf] A162913 3.76530 [{-a(n+4)+46*a(n+3)+46*a(n+2)-1081*a(n+1),a(0)=1,a(1)=48,a(2)=2256,a(3)=104904} ogf] A162913 4.36297 [(-23+47*f(x))*(1081*f(x)*x^3-46*f(x)*x^2-x^3-46*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162913 7.42884 [(x^2+x+1)*(x+1)/(1081*x^3-46*x^2-46*x+1) ogf] A162914 3.76530 [{-a(n+4)+47*a(n+3)+47*a(n+2)-1128*a(n+1),a(0)=1,a(1)=49,a(2)=2352,a(3)=111720} ogf] A162914 4.36297 [(-47+96*f(x))*(1128*f(x)*x^3-47*f(x)*x^2-x^3-47*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162914 7.42884 [(x^2+x+1)*(x+1)/(1128*x^3-47*x^2-47*x+1) ogf] A162918 7.93896 [-(x^13-x^12+x^9-x^7+x^6+x^4-x^3+3*x^2+7*x-12)/(x-1)^2 ogf] A162919 3.76530 [{-a(n+4)+48*a(n+3)+48*a(n+2)-1176*a(n+1),a(0)=1,a(1)=50,a(2)=2450,a(3)=118825} ogf] A162919 4.36297 [(-24+49*f(x))*(1176*f(x)*x^3-48*f(x)*x^2-x^3-48*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162919 7.42884 [(x^2+x+1)*(x+1)/(1176*x^3-48*x^2-48*x+1) ogf] A162920 4.83963 [(f(x)+2)*(f(x)*x^4-f(x)*x^3-x^4-f(x)*x^2-2*x^3-f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162920 8.25584 [(x^2+1)*(x+1)^2/(x^4-x^3-x^2-x+1) ogf] A162921 4.26395 [-(f(x)-1)*(3*f(x)*x^4-2*f(x)*x^3-x^4-2*f(x)*x^2-2*x^3-2*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162921 7.47447 [(x^2+1)*(x+1)^2/(3*x^4-2*x^3-2*x^2-2*x+1) ogf] A162925 4.49311 [(f(x)-1)*(6*f(x)*x^4-3*f(x)*x^3-x^4-3*f(x)*x^2-2*x^3-3*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162925 7.66471 [(x^2+1)*(x+1)^2/(6*x^4-3*x^3-3*x^2-3*x+1) ogf] A162937 4.08018 [-(-5+8*f(x))*(10*f(x)*x^4-4*f(x)*x^3-x^4-4*f(x)*x^2-2*x^3-4*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162937 7.11658 [(x^2+1)*(x+1)^2/(10*x^4-4*x^3-4*x^2-4*x+1) ogf] A162940 10.5421 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+36*x ogf] A162940 16.6802 [-36*x/(x-1)^3 ogf] A162940 58.6169 [[3] ogf_with_Euler_transform] A162940 6.73059 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=36,a(2)=108} ogf] A162940 94.5276 [-3/(x-1) lgdogf] A162941 4.10079 [(-6+13*f(x))*(15*f(x)*x^4-5*f(x)*x^3-x^4-5*f(x)*x^2-2*x^3-5*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162941 7.00948 [(x^2+1)*(x+1)^2/(15*x^4-5*x^3-5*x^2-5*x+1) ogf] A162942 16.4860 [-49*x/(x-1)^3 ogf] A162942 57.9216 [[3] ogf_with_Euler_transform] A162942 6.65225 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=49,a(2)=147} ogf] A162942 9.72253 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+49*x ogf] A162942 93.4208 [-3/(x-1) lgdogf] A162949 3.87448 [-(7+9*f(x))*(21*f(x)*x^4-6*f(x)*x^3-x^4-6*f(x)*x^2-2*x^3-6*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162949 6.75781 [(x^2+1)*(x+1)^2/(21*x^4-6*x^3-6*x^2-6*x+1) ogf] A162959 16.7601 [2*(x+1)*x/(x^4-4*x^2+1) ogf] A162959 18.6692 [-(-1-8*x+4*x^3+3*x^4-4*x^2)/(x+1)/(x^4-4*x^2+1) lgdogf] A162959 9.44985 [-(10*f(x)+1)*(f(x)*x^4-4*f(x)*x^2-2*x^2+f(x)-2*x) ogf] A162960 4.20634 [(4+5*f(x))*(28*f(x)*x^4-7*f(x)*x^3-x^4-7*f(x)*x^2-2*x^3-7*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162960 7.14099 [(x^2+1)*(x+1)^2/(28*x^4-7*x^3-7*x^2-7*x+1) ogf] A162962 10.8945 [{a(n+2)-5*a(n),a(0)=1,a(1)=5} ogf] A162962 17.0060 [-(5*x+1)/(5*x^2-1) ogf] A162962 18.4768 [1/10*(-1+(1+20*x+20*x^2)^(1/2))/(1+x) revogf] A162962 20.1071 [-5*(1+2*x+5*x^2)/(5*x+1)/(5*x^2-1) lgdogf] A162962 9.82036 [-(2*f(x)+1)*(5*f(x)*x^2-f(x)+5*x+1) ogf] A162963 10.4176 [{a(n+2)-5*a(n),a(0)=2,a(1)=5} ogf] A162963 16.2616 [-(5*x+2)/(5*x^2-1) ogf] A162963 19.2134 [1/5*(-1+(1+5*x+5*x^2)^(1/2))/(1+x) revogf] A162963 19.2134 [-5*(1+4*x+5*x^2)/(5*x+2)/(5*x^2-1) lgdogf] A162963 9.13321 [-(18*f(x)-11)*(5*f(x)*x^2-f(x)+5*x+2) ogf] A162968 17.0532 [-6*(x+1)^2/(x-1)/(3*x^2+2*x+1) lgdegf] A162968 3.79099 [(55188*f(x)+128309)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-2*x-1) egf] A162968 7.58199 [(3*x^2+2*x+1)/(x-1)^4 egf] A162970 22.4818 [(3+5*x+x^3+2*x^2)/(x^2+2+x) lgdegf] A162970 3.90216 [{(n^2+7*n+12)*a(n+1)+(4+n)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A162983 3.80242 [-(9+11*f(x))*(36*f(x)*x^4-8*f(x)*x^3-x^4-8*f(x)*x^2-2*x^3-8*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162983 6.67635 [(x^2+1)*(x+1)^2/(36*x^4-8*x^3-8*x^2-8*x+1) ogf] A162985 7.55166 [-f(x)^2*x^3+f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-1 ogf] A162987 3.74967 [(-10+43*f(x))*(45*f(x)*x^4-9*f(x)*x^3-x^4-9*f(x)*x^2-2*x^3-9*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A162987 6.45292 [(x^2+1)*(x+1)^2/(45*x^4-9*x^3-9*x^2-9*x+1) ogf] A162993 4.28347 [{(n^2+10*n+25)*a(n+1)-a(n+2),a(0)=9,a(1)=144} ogf] A162994 3.94662 [{(n^2+12*n+36)*a(n+1)-a(n+2),a(0)=64,a(1)=1600} ogf] A163003 5.86725 [-(x+1)*(x^4-x^3+x^2+x-1)/(x^2+x-1)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) ogf] A163012 5.76071 [-(x^5-6*x^4+3*x^2-5*x+3)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) ogf] A163020 4.50868 [(x^6+x^4+5*x^2-2*x-1)/(x-1)/(x^2+2*x-1)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) ogf] A163029 5.38228 [-2*(x^5-4*x^4-3*x^3+7*x^2-7*x+3)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) ogf] A163037 14.3552 [-(-7+7*x+3*x^3+9*x^2)/(x-1)/(x+1)/(x^2+2*x-1) lgdogf] A163037 8.56062 [(x+1)^2/(x^2+2*x-1)/(x-1)^3 ogf] A163047 5.84341 [-(3-18*x+122*x^5-6*x^7-61*x^6-58*x^3-24*x^4+3*x^8+51*x^2)/(x-1)/(x^2+3*x-1)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) lgdogf] A163047 6.97146 [-(x-1)*(x^2+3*x-1)/(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1) ogf] A163055 3.58033 [-(11+13*f(x))*(55*f(x)*x^4-10*f(x)*x^3-x^4-10*f(x)*x^2-2*x^3-10*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163055 6.23540 [(x^2+1)*(x+1)^2/(55*x^4-10*x^3-10*x^2-10*x+1) ogf] A163062 13.4891 [-(2*x+3)/(4*x^2+2*x-1) ogf] A163062 14.1499 [1/4*(-3-2*x+(9+20*x+20*x^2)^(1/2))/(2*x+1) revogf] A163062 16.5082 [-8*(1+3*x+x^2)/(2*x+3)/(4*x^2+2*x-1) lgdogf] A163062 6.82032 [(195*f(x)-329)*(4*f(x)*x^2+2*f(x)*x-f(x)+2*x+3) ogf] A163062 7.40254 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=3,a(1)=8} ogf] A163063 13.0511 [(x-3)/(x^2+4*x-1) ogf] A163063 14.3733 [1/2/(x-1)*(-3-4*x+(9+20*x+20*x^2)^(1/2)) revogf] A163063 17.9667 [-(-11-6*x+x^2)/(x-3)/(x^2+4*x-1) lgdogf] A163063 6.45383 [-(50*f(x)-29)*(f(x)*x^2+4*f(x)*x-f(x)-x+3) ogf] A163063 7.07588 [{-a(n+2)+4*a(n+1)+a(n),a(0)=3,a(1)=11} ogf] A163064 12.5039 [-(7*x-3)/(11*x^2-8*x+1) ogf] A163064 12.7999 [-1/2*(-3-8*x+(9+20*x+20*x^2)^(1/2))/(7+11*x) revogf] A163064 14.0799 [-(17-66*x+77*x^2)/(7*x-3)/(11*x^2-8*x+1) lgdogf] A163064 6.25196 [-(70*f(x)+79)*(11*f(x)*x^2-8*f(x)*x+f(x)+7*x-3) ogf] A163064 6.84738 [{a(n+2)-8*a(n+1)+11*a(n),a(0)=3,a(1)=17} ogf] A163065 12.8567 [-(10*x-3)/(20*x^2-10*x+1) ogf] A163065 13.4475 [-1/20*(-3-10*x+(9+20*x+20*x^2)^(1/2))/(2*x+1) revogf] A163065 14.0730 [-20*(1-6*x+10*x^2)/(10*x-3)/(20*x^2-10*x+1) lgdogf] A163065 6.49601 [-(87*f(x)+139)*(20*f(x)*x^2-10*f(x)*x+f(x)+10*x-3) ogf] A163065 7.26024 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=3,a(1)=20} ogf] A163066 13.5764 [-(7*x-2)/(31*x^2-12*x+1) ogf] A163066 14.5606 [-(17-124*x+217*x^2)/(7*x-2)/(31*x^2-12*x+1) lgdogf] A163066 16.4765 [-(-1-6*x+(1+5*x+5*x^2)^(1/2))/(7+31*x) revogf] A163066 7.0899 [(80*f(x)+129)*(31*f(x)*x^2-12*f(x)*x+f(x)+7*x-2) ogf] A163066 7.50694 [{-a(n+2)+12*a(n+1)-31*a(n),a(0)=2,a(1)=17} ogf] A163067 12.7175 [-(9*x-2)/(44*x^2-14*x+1) ogf] A163067 13.6266 [-(19-176*x+396*x^2)/(9*x-2)/(44*x^2-14*x+1) lgdogf] A163067 15.4196 [-(-1-7*x+(1+5*x+5*x^2)^(1/2))/(9+44*x) revogf] A163067 6.64135 [(90*f(x)+181)*(44*f(x)*x^2-14*f(x)*x+f(x)+9*x-2) ogf] A163067 7.03201 [{-a(n+2)+14*a(n+1)-44*a(n),a(0)=2,a(1)=19} ogf] A163068 11.5615 [-(11*x-2)/(59*x^2-16*x+1) ogf] A163068 12.3498 [-(21-236*x+649*x^2)/(11*x-2)/(59*x^2-16*x+1) lgdogf] A163068 13.9331 [-(-1-8*x+(1+5*x+5*x^2)^(1/2))/(11+59*x) revogf] A163068 6.03208 [(100*f(x)+241)*(59*f(x)*x^2-16*f(x)*x+f(x)+11*x-2) ogf] A163068 6.52884 [{-a(n+2)+16*a(n+1)-59*a(n),a(0)=2,a(1)=21} ogf] A163069 13.7009 [-(x+4)/(4*x^2+2*x-1) ogf] A163069 17.2523 [-(9+32*x+4*x^2)/(x+4)/(4*x^2+2*x-1) lgdogf] A163069 17.7597 [(-2-x+(4+5*x+5*x^2)^(1/2))/(1+4*x) revogf] A163069 6.70155 [-(50*f(x)-119)*(4*f(x)*x^2+2*f(x)*x-f(x)+x+4) ogf] A163069 7.51880 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=4,a(1)=9} ogf] A163070 13.2571 [(3*x-4)/(x^2+4*x-1) ogf] A163070 16.2280 [-(-13-8*x+3*x^2)/(3*x-4)/(x^2+4*x-1) lgdogf] A163070 16.6916 [(-2-2*x+(4+5*x+5*x^2)^(1/2))/(-3+x) revogf] A163070 6.55573 [-(60*f(x)-71)*(f(x)*x^2+4*f(x)*x-f(x)-3*x+4) ogf] A163070 7.18760 [{-a(n+2)+4*a(n+1)+a(n),a(0)=4,a(1)=13} ogf] A163071 13.1929 [-(7*x-4)/(4*x^2-6*x+1) ogf] A163071 14.9103 [-(17-32*x+28*x^2)/(7*x-4)/(4*x^2-6*x+1) lgdogf] A163071 15.7163 [-(-2-3*x+(4+5*x+5*x^2)^(1/2))/(7+4*x) revogf] A163071 6.59647 [-(70*f(x)+9)*(4*f(x)*x^2-6*f(x)*x+f(x)+7*x-4) ogf] A163071 7.15278 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=4,a(1)=17} ogf] A163072 12.8567 [-(15*x-4)/(20*x^2-10*x+1) ogf] A163072 14.0730 [-5*(5-32*x+60*x^2)/(15*x-4)/(20*x^2-10*x+1) lgdogf] A163072 14.7595 [-1/5*(-2-5*x+(4+5*x+5*x^2)^(1/2))/(3+4*x) revogf] A163072 6.56512 [-(18*f(x)+53)*(20*f(x)*x^2-10*f(x)*x+f(x)+15*x-4) ogf] A163072 7.26024 [{a(n+2)-10*a(n+1)+20*a(n),a(0)=4,a(1)=25} ogf] A163073 13.1708 [-(3*x-1)/(11*x^2-8*x+1) ogf] A163073 13.8065 [-1/2*(-1-8*x+(1+4*x+20*x^2)^(1/2))/(3+11*x) revogf] A163073 14.8420 [-(5-22*x+33*x^2)/(-1+3*x)/(11*x^2-8*x+1) lgdogf] A163073 6.6578 [-(18*f(x)+7)*(11*f(x)*x^2-8*f(x)*x+f(x)+3*x-1) ogf] A163073 7.29951 [{a(n+2)-8*a(n+1)+11*a(n),a(0)=1,a(1)=5} ogf] A163084 4.69919 [-(6+7*f(x))*(66*f(x)*x^4-11*f(x)*x^3-x^4-11*f(x)*x^2-2*x^3-11*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163084 8.07837 [(x^2+1)*(x+1)^2/(66*x^4-11*x^3-11*x^2-11*x+1) ogf] A163090 4.75452 [-(13+15*f(x))*(78*f(x)*x^4-12*f(x)*x^3-x^4-12*f(x)*x^2-2*x^3-12*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163090 5.76192 [(x^2+1)*(x+1)^2/(78*x^4-12*x^3-12*x^2-12*x+1) ogf] A163091 4.93415 [-(7+8*f(x))*(91*f(x)*x^4-13*f(x)*x^3-x^4-13*f(x)*x^2-2*x^3-13*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163091 5.92109 [(x^2+1)*(x+1)^2/(91*x^4-13*x^3-13*x^2-13*x+1) ogf] A163092 4.41666 [-(15+17*f(x))*(105*f(x)*x^4-14*f(x)*x^3-x^4-14*f(x)*x^2-2*x^3-14*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163092 5.94974 [(x^2+1)*(x+1)^2/(105*x^4-14*x^3-14*x^2-14*x+1) ogf] A163093 4.56962 [-(8+9*f(x))*(120*f(x)*x^4-15*f(x)*x^3-x^4-15*f(x)*x^2-2*x^3-15*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163093 6.10714 [(x^2+1)*(x+1)^2/(120*x^4-15*x^3-15*x^2-15*x+1) ogf] A163102 22.9569 [-3*(3+6*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A163102 3.76451 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-21-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=2,a(2)=18,a(3)=72} ogf] A163102 8.98039 [-2*x*(x^2+4*x+1)/(x-1)^5 ogf] A163104 4.58653 [-(17+19*f(x))*(136*f(x)*x^4-16*f(x)*x^3-x^4-16*f(x)*x^2-2*x^3-16*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163104 6.20158 [(x^2+1)*(x+1)^2/(136*x^4-16*x^3-16*x^2-16*x+1) ogf] A163110 4.7111 [-(9+10*f(x))*(153*f(x)*x^4-17*f(x)*x^3-x^4-17*f(x)*x^2-2*x^3-17*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163110 5.51438 [(x^2+1)*(x+1)^2/(153*x^4-17*x^3-17*x^2-17*x+1) ogf] A163114 10.5228 [{-a(n+2)+5*a(n),a(0)=3,a(1)=5} ogf] A163114 10.6450 [1/5*5^(1/2)*(-arcsinh(1/2*5^(1/2))+arcsinh(1/2*5^(1/2)*(x+1))) revegf] A163114 16.4259 [-(5*x+3)/(5*x^2-1) ogf] A163114 19.4115 [-5*(x+1)*(5*x+1)/(5*x+3)/(5*x^2-1) lgdogf] A163114 9.62085 [(42*f(x)-101)*(5*f(x)*x^2-f(x)+5*x+3) ogf] A163124 3.21691 [-(19+21*f(x))*(171*f(x)*x^4-18*f(x)*x^3-x^4-18*f(x)*x^2-2*x^3-18*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163124 5.57599 [(x^2+1)*(x+1)^2/(171*x^4-18*x^3-18*x^2-18*x+1) ogf] A163128 5.66181 [x*(9*x^12+9*x^11+9*x^10+10*x^9+10*x^8+10*x^7+10*x^6+10*x^5+10*x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A163139 6.74025 [-(9*x^12+9*x^11+9*x^10+10*x^9+10*x^8+10*x^7+10*x^6+10*x^5+10*x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A163141 10.6280 [{-a(n+2)+5*a(n),a(0)=4,a(1)=5} ogf] A163141 16.5901 [-(5*x+4)/(5*x^2-1) ogf] A163141 19.6096 [1/5*(-2+(4+5*x+5*x^2)^(1/2))/(1+x) revogf] A163141 19.6096 [-5*(1+8*x+5*x^2)/(5*x+4)/(5*x^2-1) lgdogf] A163141 9.71705 [(84*f(x)-311)*(5*f(x)*x^2-f(x)+5*x+4) ogf] A163145 4.26145 [-(10+11*f(x))*(190*f(x)*x^4-19*f(x)*x^3-x^4-19*f(x)*x^2-2*x^3-19*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163145 5.66841 [(x^2+1)*(x+1)^2/(190*x^4-19*x^3-19*x^2-19*x+1) ogf] A163146 13.4489 [-(x-1)/(31*x^2-12*x+1) ogf] A163146 13.7804 [-1/2*(-1-12*x+(1+20*x+20*x^2)^(1/2))/(1+31*x) revogf] A163146 15.9004 [-(11-62*x+31*x^2)/(x-1)/(31*x^2-12*x+1) lgdogf] A163146 7.10224 [(70*f(x)+51)*(31*f(x)*x^2-12*f(x)*x+f(x)+x-1) ogf] A163146 7.43646 [{-a(n+2)+12*a(n+1)-31*a(n),a(0)=1,a(1)=11} ogf] A163147 12.4669 [-(2*x-1)/(44*x^2-14*x+1) ogf] A163147 12.7592 [-1/4*(-1-14*x+(1+20*x+20*x^2)^(1/2))/(1+22*x) revogf] A163147 13.6706 [-4*(3-22*x+22*x^2)/(2*x-1)/(44*x^2-14*x+1) lgdogf] A163147 6.43894 [(565*f(x)+731)*(44*f(x)*x^2-14*f(x)*x+f(x)+2*x-1) ogf] A163147 6.89346 [{-a(n+2)+14*a(n+1)-44*a(n),a(0)=1,a(1)=12} ogf] A163148 11.8075 [-(3*x-1)/(59*x^2-16*x+1) ogf] A163148 12.0753 [-1/2*(-16*x-1+(1+20*x+20*x^2)^(1/2))/(3+59*x) revogf] A163148 12.3498 [-(13-118*x+177*x^2)/(-1+3*x)/(59*x^2-16*x+1) lgdogf] A163148 6.23541 [(90*f(x)+79)*(59*f(x)*x^2-16*f(x)*x+f(x)+3*x-1) ogf] A163148 6.52884 [{-a(n+2)+16*a(n+1)-59*a(n),a(0)=1,a(1)=13} ogf] A163149 3.28801 [-(21+23*f(x))*(210*f(x)*x^4-20*f(x)*x^3-x^4-20*f(x)*x^2-2*x^3-20*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163149 5.69921 [(x^2+1)*(x+1)^2/(210*x^4-20*x^3-20*x^2-20*x+1) ogf] A163165 11.6217 [-(10*x-1)/(12*x-1)/(8*x-1) ogf] A163165 12.1396 [-2*(5-96*x+480*x^2)/(12*x-1)/(8*x-1)/(10*x-1) lgdogf] A163165 5.9983 [-(2*f(x)+23)*(96*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A163165 6.56284 [{a(n+2)-20*a(n+1)+96*a(n),a(0)=1,a(1)=10} ogf] A163166 11.7421 [-(10*x-1)/(95*x^2-20*x+1) ogf] A163166 12.5468 [-10*(1-19*x+95*x^2)/(10*x-1)/(95*x^2-20*x+1) lgdogf] A163166 5.93287 [-(61*f(x)+339)*(95*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A163166 6.63085 [{a(n+2)-20*a(n+1)+95*a(n),a(0)=1,a(1)=10} ogf] A163171 3.37687 [-(11+12*f(x))*(231*f(x)*x^4-21*f(x)*x^3-x^4-21*f(x)*x^2-2*x^3-21*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163171 5.85324 [(x^2+1)*(x+1)^2/(231*x^4-21*x^3-21*x^2-21*x+1) ogf] A163174 3.39464 [-(23+25*f(x))*(253*f(x)*x^4-22*f(x)*x^3-x^4-22*f(x)*x^2-2*x^3-22*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163174 5.88406 [(x^2+1)*(x+1)^2/(253*x^4-22*x^3-22*x^2-22*x+1) ogf] A163175 3.43019 [-(12+13*f(x))*(276*f(x)*x^4-23*f(x)*x^3-x^4-23*f(x)*x^2-2*x^3-23*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163175 5.94567 [(x^2+1)*(x+1)^2/(276*x^4-23*x^3-23*x^2-23*x+1) ogf] A163177 3.46574 [-(25+27*f(x))*(300*f(x)*x^4-24*f(x)*x^3-x^4-24*f(x)*x^2-2*x^3-24*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163177 6.00728 [(x^2+1)*(x+1)^2/(300*x^4-24*x^3-24*x^2-24*x+1) ogf] A163179 3.50128 [-(13+14*f(x))*(325*f(x)*x^4-25*f(x)*x^3-x^4-25*f(x)*x^2-2*x^3-25*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163179 6.06889 [(x^2+1)*(x+1)^2/(325*x^4-25*x^3-25*x^2-25*x+1) ogf] A163187 3.5546 [-(27+29*f(x))*(351*f(x)*x^4-26*f(x)*x^3-x^4-26*f(x)*x^2-2*x^3-26*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163187 6.16131 [(x^2+1)*(x+1)^2/(351*x^4-26*x^3-26*x^2-26*x+1) ogf] A163192 10.4475 [-(10*x-1)/(93*x^2-20*x+1) ogf] A163192 11.1397 [-2*(5-93*x+465*x^2)/(10*x-1)/(93*x^2-20*x+1) lgdogf] A163192 5.39224 [-(7*f(x)+43)*(93*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A163192 5.89974 [{a(n+2)-20*a(n+1)+93*a(n),a(0)=1,a(1)=10} ogf] A163194 7.78890 [-(-539+1958*x-124*x^5+3*x^6-3710*x^3+1435*x^4+2225*x^2)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1)/(x^2-21*x+28) lgdogf] A163194 8.53132 [4*x^2*(x^2-21*x+28)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163195 7.45937 [-(-539+1958*x-124*x^5+3*x^6-3710*x^3+1435*x^4+2225*x^2)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1)/(x^2-21*x+28) lgdogf] A163195 8.26294 [x^2*(x^2-21*x+28)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163196 8.06068 [-(1+14*x-1204*x^5+84*x^6-1550*x^3+2245*x^4-70*x^2)/(x+1)/(x^2-3*x+1)/(28*x^2-21*x+1)/(x^2-18*x+1) lgdogf] A163196 9.41515 [-4*(28*x^2-21*x+1)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163197 7.72095 [-(1+14*x-1204*x^5+84*x^6-1550*x^3+2245*x^4-70*x^2)/(x+1)/(x^2-3*x+1)/(28*x^2-21*x+1)/(x^2-18*x+1) lgdogf] A163197 9.13157 [-(28*x^2-21*x+1)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163198 8.19711 [-(28-152*x-20*x^5+3*x^6+836*x^3-314*x^4-253*x^2)/(x-1)/(x^2+6*x+1)/(x^2-18*x+1)/(x^2-3*x+1) lgdogf] A163198 8.88146 [-x*(x^2+6*x+1)/(x-1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163199 7.54924 [(x^4-22*x^3+50*x^2-22*x+1)/(x-1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163200 4.92449 [(561495*f(x)-17389)*(f(x)*x^4-21*f(x)*x^3+56*f(x)*x^2-x^3-21*f(x)*x+12*x^2+f(x)-x) ogf] A163200 9.10241 [-(-9+110*x+2*x^5+508*x^3-57*x^4-714*x^2)/(x^2-3*x+1)/(x^2-18*x+1)/(x^2-12*x+1) lgdogf] A163200 9.33734 [x*(x^2-12*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A163201 8.42755 [-(-26-68*x+16*x^5+3*x^6-340*x^3-320*x^4+335*x^2)/(x-1)/(x^2+3*x+1)/(x^2+18*x+1)/(x^2-6*x+1) lgdogf] A163201 8.77573 [x*(x^2-6*x+1)/(x-1)/(x^2+18*x+1)/(x^2+3*x+1) ogf] A163202 6.98062 [-(-7-44*x+572*x^5+2*x^7+59*x^6+1030*x^3+1275*x^4-87*x^2)/(x-1)/(x+1)/(x^2+18*x+1)/(x^2+3*x+1)/(x^2+12*x+1) lgdogf] A163202 7.56816 [x*(x+1)*(x^2+12*x+1)/(x-1)/(x^2+18*x+1)/(x^2+3*x+1) ogf] A163206 11.1397 [-2*(5-92*x+460*x^2)/(10*x-1)/(92*x^2-20*x+1) lgdogf] A163206 14.9786 [-(10*x-1)/(92*x^2-20*x+1) ogf] A163206 7.73092 [-(4*f(x)+21)*(92*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A163206 8.45853 [{a(n+2)-20*a(n+1)+92*a(n),a(0)=1,a(1)=10} ogf] A163207 3.57237 [-(14+15*f(x))*(378*f(x)*x^4-27*f(x)*x^3-x^4-27*f(x)*x^2-2*x^3-27*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163207 6.19212 [(x^2+1)*(x+1)^2/(378*x^4-27*x^3-27*x^2-27*x+1) ogf] A163208 3.60792 [-(29+31*f(x))*(406*f(x)*x^4-28*f(x)*x^3-x^4-28*f(x)*x^2-2*x^3-28*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163208 6.25373 [(x^2+1)*(x+1)^2/(406*x^4-28*x^3-28*x^2-28*x+1) ogf] A163214 3.62569 [-(15+16*f(x))*(435*f(x)*x^4-29*f(x)*x^3-x^4-29*f(x)*x^2-2*x^3-29*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163214 6.28453 [(x^2+1)*(x+1)^2/(435*x^4-29*x^3-29*x^2-29*x+1) ogf] A163215 3.62569 [-(31+33*f(x))*(465*f(x)*x^4-30*f(x)*x^3-x^4-30*f(x)*x^2-2*x^3-30*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163215 6.28453 [(x^2+1)*(x+1)^2/(465*x^4-30*x^3-30*x^2-30*x+1) ogf] A163216 3.7501 [-(16+17*f(x))*(496*f(x)*x^4-31*f(x)*x^3-x^4-31*f(x)*x^2-2*x^3-31*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163216 6.50018 [(x^2+1)*(x+1)^2/(496*x^4-31*x^3-31*x^2-31*x+1) ogf] A163217 3.7501 [-(33+35*f(x))*(528*f(x)*x^4-32*f(x)*x^3-x^4-32*f(x)*x^2-2*x^3-32*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163217 6.50018 [(x^2+1)*(x+1)^2/(528*x^4-32*x^3-32*x^2-32*x+1) ogf] A163218 3.82364 [(-34+559*f(x))*(561*f(x)*x^4-33*f(x)*x^3-x^4-33*f(x)*x^2-2*x^3-33*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163218 6.50018 [(x^2+1)*(x+1)^2/(561*x^4-33*x^3-33*x^2-33*x+1) ogf] A163219 3.78565 [-(35+37*f(x))*(595*f(x)*x^4-34*f(x)*x^3-x^4-34*f(x)*x^2-2*x^3-34*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163219 6.56180 [(x^2+1)*(x+1)^2/(595*x^4-34*x^3-34*x^2-34*x+1) ogf] A163220 3.29827 [-(18+19*f(x))*(630*f(x)*x^4-35*f(x)*x^3-x^4-35*f(x)*x^2-2*x^3-35*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163220 5.71700 [(x^2+1)*(x+1)^2/(630*x^4-35*x^3-35*x^2-35*x+1) ogf] A163221 3.29827 [-(37+39*f(x))*(666*f(x)*x^4-36*f(x)*x^3-x^4-36*f(x)*x^2-2*x^3-36*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163221 5.71700 [(x^2+1)*(x+1)^2/(666*x^4-36*x^3-36*x^2-36*x+1) ogf] A163222 3.33298 [-(19+20*f(x))*(703*f(x)*x^4-37*f(x)*x^3-x^4-37*f(x)*x^2-2*x^3-37*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163222 5.77718 [(x^2+1)*(x+1)^2/(703*x^4-37*x^3-37*x^2-37*x+1) ogf] A163223 3.35034 [-(39+41*f(x))*(741*f(x)*x^4-38*f(x)*x^3-x^4-38*f(x)*x^2-2*x^3-38*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163223 5.80727 [(x^2+1)*(x+1)^2/(741*x^4-38*x^3-38*x^2-38*x+1) ogf] A163224 3.38506 [-(20+21*f(x))*(780*f(x)*x^4-39*f(x)*x^3-x^4-39*f(x)*x^2-2*x^3-39*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163224 5.86744 [(x^2+1)*(x+1)^2/(780*x^4-39*x^3-39*x^2-39*x+1) ogf] A163225 3.38506 [-(41+43*f(x))*(820*f(x)*x^4-40*f(x)*x^3-x^4-40*f(x)*x^2-2*x^3-40*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163225 5.86744 [(x^2+1)*(x+1)^2/(820*x^4-40*x^3-40*x^2-40*x+1) ogf] A163226 3.40242 [-(21+22*f(x))*(861*f(x)*x^4-41*f(x)*x^3-x^4-41*f(x)*x^2-2*x^3-41*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163226 5.89753 [(x^2+1)*(x+1)^2/(861*x^4-41*x^3-41*x^2-41*x+1) ogf] A163227 12.0324 [-(1+2*x-6*x^5+4*x^7-5*x^6+2*x^2)/(x-1)/(x+1)/(x^2-x-1)/(x^4+x^2-1) lgdogf] A163227 14.2068 [-(x^2-x-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A163230 3.41978 [-(43+45*f(x))*(903*f(x)*x^4-42*f(x)*x^3-x^4-42*f(x)*x^2-2*x^3-42*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163230 5.92762 [(x^2+1)*(x+1)^2/(903*x^4-42*x^3-42*x^2-42*x+1) ogf] A163231 3.4545 [-(22+23*f(x))*(946*f(x)*x^4-43*f(x)*x^3-x^4-43*f(x)*x^2-2*x^3-43*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163231 5.98780 [(x^2+1)*(x+1)^2/(946*x^4-43*x^3-43*x^2-43*x+1) ogf] A163232 3.4545 [-(45+47*f(x))*(990*f(x)*x^4-44*f(x)*x^3-x^4-44*f(x)*x^2-2*x^3-44*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163232 5.98780 [(x^2+1)*(x+1)^2/(990*x^4-44*x^3-44*x^2-44*x+1) ogf] A163250 18.5061 [-(-5+4*x^3+7*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A163250 9.46555 [x^2*(x+1)/(x^2+x-1)/(x-1)^3 ogf] A163265 3.47679 [(-46+1033*f(x))*(1035*f(x)*x^4-45*f(x)*x^3-x^4-45*f(x)*x^2-2*x^3-45*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163265 5.92200 [(x^2+1)*(x+1)^2/(1035*x^4-45*x^3-45*x^2-45*x+1) ogf] A163266 3.50149 [-(47+49*f(x))*(1081*f(x)*x^4-46*f(x)*x^3-x^4-46*f(x)*x^2-2*x^3-46*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163266 6.04103 [(x^2+1)*(x+1)^2/(1081*x^4-46*x^3-46*x^2-46*x+1) ogf] A163271 12.9793 [-f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A163271 20.6968 [-2*x/(x^2+2*x-1) ogf] A163271 26.9813 [(-1-x+(1+2*x+2*x^2)^(1/2))/x revogf] A163271 37.7739 [-2*(x+1)/(x^2-1+2*x) lgdogf] A163271 9.45407 [{-a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A163274 10.5092 [-12*(3+30*x+19*x^3+x^4+52*x^2)/(x-1)/(4*x^4+53*x^3+93*x^2+29*x+1) lgdogf] A163274 5.68113 [-2*x*(4*x^4+53*x^3+93*x^2+29*x+1)/(x-1)^7 ogf] A163275 4.23740 [2*x*(8*x^5+179*x^4+584*x^3+424*x^2+64*x+1)/(x-1)^8 ogf] A163275 6.90404 [-12*(6+108*x+2*x^5+303*x^3+63*x^4+358*x^2)/(x-1)/(8*x^5+179*x^4+584*x^3+424*x^2+64*x+1) lgdogf] A163276 3.77005 [-2*x*(16*x^6+585*x^5+3231*x^4+4456*x^3+1656*x^2+135*x+1)/(x-1)^9 ogf] A163276 5.52179 [-12*(12+366*x+203*x^5+4*x^6+3305*x^3+1590*x^4+2080*x^2)/(x-1)/(16*x^6+585*x^5+3231*x^4+4456*x^3+1656*x^2+135*x+1) lgdogf] A163279 5.41460 [(x^5-17*x^4-95*x^3-187*x^2-58*x-4)/(x-1)^7 ogf] A163279 8.15921 [-2*(-43-361*x+x^5-224*x^3-23*x^4-610*x^2)/(x-1)/(x^5-17*x^4-95*x^3-187*x^2-58*x-4) lgdogf] A163287 3.5697 [(-24+563*f(x))*(1128*f(x)*x^4-47*f(x)*x^3-x^4-47*f(x)*x^2-2*x^3-47*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163287 6.04103 [(x^2+1)*(x+1)^2/(1128*x^4-47*x^3-47*x^2-47*x+1) ogf] A163290 3.50149 [-(49+51*f(x))*(1176*f(x)*x^4-48*f(x)*x^3-x^4-48*f(x)*x^2-2*x^3-48*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A163290 6.04103 [(x^2+1)*(x+1)^2/(1176*x^4-48*x^3-48*x^2-48*x+1) ogf] A163300 10.4988 [-f(x)*(f(x)*x^2-2*f(x)*x+2*x^2+f(x)-4*x) ogf] A163300 18.2121 [-2*x*(x-2)/(x-1)^2 ogf] A163300 25.1379 [2*x/(4+2*x)^(1/2)/(2+(4+2*x)^(1/2)) revogf] A163300 48.8792 [-(x-3)/(x-1)/(x-2) lgdogf] A163300 8.83559 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=4,a(2)=6} ogf] A163302 11.8232 [4*f(x)*x^2+2*f(x)*x-f(x)+4*x+1 ogf] A163302 16.5524 [-(4*x+1)/(4*x^2+2*x-1) ogf] A163302 18.2919 [1/8*(-2*x-1+(1+20*x+20*x^2)^(1/2))/(1+x) revogf] A163302 19.2546 [-2*(3+4*x+8*x^2)/(4*x+1)/(4*x^2+2*x-1) lgdogf] A163302 9.08366 [{a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=6} ogf] A163303 12.3905 [-2*(-71-14*x+69*x^3+4*x^2)/(x-1)/(138*x^3-203*x^2+126*x-67) lgdogf] A163303 4.54495 [(97849998*f(x)+54333876240523)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+138*x^3-4*f(x)*x-203*x^2+f(x)+126*x-67) ogf] A163303 8.87348 [-(138*x^3-203*x^2+126*x-67)/(x-1)^4 ogf] A163304 7.33778 [-(383*x^4-6093*x^3+6027*x^2-1151*x+858)/(x-1)^5 ogf] A163304 9.49847 [-(1013+2550*x-3618*x^3+161*x^4-66*x^2)/(x-1)/(161*x^4-2131*x^3+2109*x^2-417*x+286) lgdogf] A163305 10.6932 [4*f(x)*x^2+2*f(x)*x-f(x)+5*x ogf] A163305 14.7915 [1/8*(-5-2*x+(5+4*x+4*x^2)^(1/2)*5^(1/2))/x revogf] A163305 17.0514 [-5*x/(4*x^2+2*x-1) ogf] A163305 25.8852 [-2*(4*x+1)/(4*x^2+2*x-1) lgdogf] A163305 7.78889 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=0,a(1)=5} ogf] A163306 13.0665 [-(5*x-1)/(31*x^2-12*x+1) ogf] A163306 13.6850 [-1/2*(-1-12*x+(1+4*x+20*x^2)^(1/2))/(5+31*x) revogf] A163306 14.6864 [-(7-62*x+155*x^2)/(5*x-1)/(31*x^2-12*x+1) lgdogf] A163306 6.6035 [-(22*f(x)+27)*(31*f(x)*x^2-12*f(x)*x+f(x)+5*x-1) ogf] A163306 7.31101 [{a(n+2)-12*a(n+1)+31*a(n),a(0)=1,a(1)=7} ogf] A163307 12.1536 [-(6*x-1)/(44*x^2-14*x+1) ogf] A163307 12.7146 [-1/4*(-1-14*x+(1+4*x+20*x^2)^(1/2))/(3+22*x) revogf] A163307 13.3201 [-8*(1-11*x+33*x^2)/(6*x-1)/(44*x^2-14*x+1) lgdogf] A163307 6.01285 [-(113*f(x)+143)*(44*f(x)*x^2-14*f(x)*x+f(x)+6*x-1) ogf] A163307 6.80025 [{a(n+2)-14*a(n+1)+44*a(n),a(0)=1,a(1)=8} ogf] A163308 11.0080 [-(7*x-1)/(59*x^2-16*x+1) ogf] A163308 11.4958 [-1/2*(-16*x-1+(1+4*x+20*x^2)^(1/2))/(7+59*x) revogf] A163308 12.0432 [-(9-118*x+413*x^2)/(7*x-1)/(59*x^2-16*x+1) lgdogf] A163308 5.56319 [-(26*f(x)+55)*(59*f(x)*x^2-16*f(x)*x+f(x)+7*x-1) ogf] A163308 6.15924 [{a(n+2)-16*a(n+1)+59*a(n),a(0)=1,a(1)=9} ogf] A163309 11.8075 [-(8*x-1)/(76*x^2-18*x+1) ogf] A163309 12.3498 [-1/8*(-1-18*x+(1+4*x+20*x^2)^(1/2))/(2+19*x) revogf] A163309 12.6370 [-2*(5-76*x+304*x^2)/(8*x-1)/(76*x^2-18*x+1) lgdogf] A163309 6.03208 [-(7*f(x)+18)*(76*f(x)*x^2-18*f(x)*x+f(x)+8*x-1) ogf] A163309 6.52884 [{a(n+2)-18*a(n+1)+76*a(n),a(0)=1,a(1)=10} ogf] A163310 12.0535 [-(9*x-1)/(95*x^2-20*x+1) ogf] A163310 12.6125 [-1/2*(-1-20*x+(1+4*x+20*x^2)^(1/2))/(9+95*x) revogf] A163310 12.9058 [-(11-190*x+855*x^2)/(9*x-1)/(95*x^2-20*x+1) lgdogf] A163310 6.09154 [-(30*f(x)+91)*(95*f(x)*x^2-20*f(x)*x+f(x)+9*x-1) ogf] A163310 6.66486 [{a(n+2)-20*a(n+1)+95*a(n),a(0)=1,a(1)=11} ogf] A163314 5.88437 [f(x)*x^4-2*f(x)*x^3-x^4+f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-x-1 ogf] A163314 8.51504 [(x^4+x^3+x^2+x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A163315 6.41943 [(x+1)*(x^4+x^3+x^2+x+1)/(3*x^5-2*x^4-2*x^3-2*x^2-2*x+1) ogf] A163316 6.51343 [(x+1)*(x^4+x^3+x^2+x+1)/(6*x^5-3*x^4-3*x^3-3*x^2-3*x+1) ogf] A163317 6.03056 [(x+1)*(x^4+x^3+x^2+x+1)/(10*x^5-4*x^4-4*x^3-4*x^2-4*x+1) ogf] A163322 10.0726 [-4*x*(x^2-14*x+1)/(x-1)^4 ogf] A163322 21.0916 [-2*(-5-20*x+x^2)/(x-1)/(x^2-14*x+1) lgdogf] A163322 3.68996 [{(-3-n)*a(n+4)+(20+15*n)*a(n+3)+(-55-15*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=-4,a(2)=40,a(3)=180} ogf] A163322 5.32409 [(750*f(x)+17093)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-56*x^2+f(x)+4*x) ogf] A163323 10.6222 [-(5-68*x-68*x^3+5*x^4-354*x^2)/(x-1)/(5*x^4-44*x^3-74*x^2+20*x-3) lgdogf] A163323 6.86909 [4*(5*x^4-44*x^3-74*x^2+20*x-3)/(x-1)^5 ogf] A163345 5.93979 [(x+1)*(x^4+x^3+x^2+x+1)/(15*x^5-5*x^4-5*x^3-5*x^2-5*x+1) ogf] A163346 12.7493 [-1/2*(-1-10*x+(1+8*x+8*x^2)^(1/2))/(3+23*x) revogf] A163346 13.3712 [-(7-46*x+69*x^2)/(-1+3*x)/(23*x^2-10*x+1) lgdogf] A163346 14.7318 [-(3*x-1)/(23*x^2-10*x+1) ogf] A163346 7.7797 [(24*f(x)+25)*(23*f(x)*x^2-10*f(x)*x+f(x)+3*x-1) ogf] A163346 8.24277 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=1,a(1)=7} ogf] A163347 5.72713 [(x+1)*(x^4+x^3+x^2+x+1)/(21*x^5-6*x^4-6*x^3-6*x^2-6*x+1) ogf] A163348 13.1198 [(x+1)/(7*x^2-6*x+1) ogf] A163348 13.4424 [-1/2*(-1-6*x+(1+16*x+8*x^2)^(1/2))/(-1+7*x) revogf] A163348 16.5150 [-7*(-1+2*x+x^2)/(x+1)/(7*x^2-6*x+1) lgdogf] A163348 6.78608 [(18*f(x)+31)*(7*f(x)*x^2-6*f(x)*x+f(x)-x-1) ogf] A163348 7.19987 [{-a(n+2)+6*a(n+1)-7*a(n),a(0)=1,a(1)=7} ogf] A163349 12.1741 [-(x-1)/(23*x^2-10*x+1) ogf] A163349 12.7319 [-1/2*(-1-10*x+(1+16*x+8*x^2)^(1/2))/(1+23*x) revogf] A163349 14.7421 [-(9-46*x+23*x^2)/(x-1)/(23*x^2-10*x+1) lgdogf] A163349 6.42904 [(44*f(x)+37)*(23*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A163349 6.81171 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=1,a(1)=9} ogf] A163350 12.6414 [-(2*x-1)/(14*x^2-8*x+1) ogf] A163350 13.8860 [-1/4*(-1-8*x+(1+8*x+8*x^2)^(1/2))/(1+7*x) revogf] A163350 13.8860 [-2*(3-14*x+14*x^2)/(2*x-1)/(14*x^2-8*x+1) lgdogf] A163350 6.46115 [(163*f(x)+161)*(14*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A163350 7.00606 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=1,a(1)=6} ogf] A163383 11.3163 [(8*x^2-8*x+1)/(x-1)/(2*x-1)^2 ogf] A163383 13.6039 [-(3+6*x+16*x^3-24*x^2)/(x-1)/(2*x-1)/(1+8*x^2-8*x) lgdogf] A163383 5.95082 [-(5*f(x)-58)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-8*x^2-f(x)+8*x-1) ogf] A163383 6.10881 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=-1,a(1)=3,a(2)=15} ogf] A163391 6.02083 [(x+1)*(x^4+x^3+x^2+x+1)/(28*x^5-7*x^4-7*x^3-7*x^2-7*x+1) ogf] A163397 5.62908 [(x+1)*(x^4+x^3+x^2+x+1)/(36*x^5-8*x^4-8*x^3-8*x^2-8*x+1) ogf] A163403 12.2827 [{a(n+2)-2*a(n),a(0)=1,a(1)=2} ogf] A163403 12.4776 [-f(x)*(2*f(x)*x^2-f(x)+2*x+1) ogf] A163403 19.1730 [-(2*x+1)/(2*x^2-1) ogf] A163403 22.6778 [1/4*(-1+(1+8*x+8*x^2)^(1/2))/(1+x) revogf] A163403 22.6778 [-2*(1+2*x+2*x^2)/(2*x+1)/(2*x^2-1) lgdogf] A163404 5.44070 [(x+1)*(x^4+x^3+x^2+x+1)/(45*x^5-9*x^4-9*x^3-9*x^2-9*x+1) ogf] A163412 12.9390 [-(2*x-1)/(34*x^2-12*x+1) ogf] A163412 13.5489 [-1/4*(-1-12*x+(1+16*x+8*x^2)^(1/2))/(1+17*x) revogf] A163412 14.1941 [-2*(5-34*x+34*x^2)/(2*x-1)/(34*x^2-12*x+1) lgdogf] A163412 6.61015 [(999*f(x)+1501)*(34*f(x)*x^2-12*f(x)*x+f(x)+2*x-1) ogf] A163412 7.15451 [{-a(n+2)+12*a(n+1)-34*a(n),a(0)=1,a(1)=10} ogf] A163413 12.2163 [-(3*x-1)/(47*x^2-14*x+1) ogf] A163413 12.7815 [-1/2*(-1-14*x+(1+16*x+8*x^2)^(1/2))/(3+47*x) revogf] A163413 13.0788 [-(11-94*x+141*x^2)/(-1+3*x)/(47*x^2-14*x+1) lgdogf] A163413 6.4513 [(60*f(x)+61)*(47*f(x)*x^2-14*f(x)*x+f(x)+3*x-1) ogf] A163413 6.75489 [{-a(n+2)+14*a(n+1)-47*a(n),a(0)=1,a(1)=11} ogf] A163414 12.7801 [-(4*x-1)/(62*x^2-16*x+1) ogf] A163414 13.3838 [-1/4*(-16*x-1+(1+16*x+8*x^2)^(1/2))/(2+31*x) revogf] A163414 13.6951 [-4*(3-31*x+62*x^2)/(-1+4*x)/(62*x^2-16*x+1) lgdogf] A163414 6.74905 [(17*f(x)+19)*(62*f(x)*x^2-16*f(x)*x+f(x)+4*x-1) ogf] A163414 7.06666 [{-a(n+2)+16*a(n+1)-62*a(n),a(0)=1,a(1)=12} ogf] A163415 11.8075 [-(5*x-1)/(79*x^2-18*x+1) ogf] A163415 12.3498 [-1/2*(-1-18*x+(1+16*x+8*x^2)^(1/2))/(5+79*x) revogf] A163415 12.6370 [-(13-158*x+395*x^2)/(5*x-1)/(79*x^2-18*x+1) lgdogf] A163415 6.23541 [(76*f(x)+93)*(79*f(x)*x^2-18*f(x)*x+f(x)+5*x-1) ogf] A163415 6.52884 [{-a(n+2)+18*a(n+1)-79*a(n),a(0)=1,a(1)=13} ogf] A163416 11.1397 [-1/4*(-1-20*x+(1+16*x+8*x^2)^(1/2))/(3+49*x) revogf] A163416 11.3987 [-14*(1-14*x+42*x^2)/(6*x-1)/(98*x^2-20*x+1) lgdogf] A163416 17.0364 [-(6*x-1)/(98*x^2-20*x+1) ogf] A163416 8.89677 [(71*f(x)+125)*(98*f(x)*x^2-20*f(x)*x+f(x)+6*x-1) ogf] A163416 9.42011 [{-a(n+2)+20*a(n+1)-98*a(n),a(0)=1,a(1)=14} ogf] A163417 10.5813 [-x*(-2-12*x^4+2*x^5+20*x^2-7*x^3-4*x)/(x-1)/(2*x^2-1)/(x^4-4*x^3+3*x-1) lgdogf] A163417 8.44274 [-(x^4-4*x^3+3*x-1)/(2*x^2-1)/(x-1)^3 ogf] A163432 5.23539 [(x+1)*(x^4+x^3+x^2+x+1)/(55*x^5-10*x^4-10*x^3-10*x^2-10*x+1) ogf] A163433 12.1698 [2*x*(x^2-5*x-2)/(x-1)^3 ogf] A163433 24.7433 [-(-11-8*x+x^2)/(x-1)/(x^2-5*x-2) lgdogf] A163433 6.03914 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=4,a(2)=22,a(3)=52} ogf] A163433 6.42565 [-(146*f(x)-1035)*(f(x)*x^3-3*f(x)*x^2-2*x^3+3*f(x)*x+10*x^2-f(x)+4*x) ogf] A163434 10.4605 [-2*(35+215*x-5*x^3+x^4+114*x^2)/(x-1)/(2*x^4-9*x^3+85*x^2+65*x+1) lgdogf] A163434 6.83398 [-x*(2*x^4-9*x^3+85*x^2+65*x+1)/(x-1)^5 ogf] A163435 4.78167 [2*x^2*(x^5-7*x^4-30*x^3-574*x^2-539*x-51)/(x-1)^7 ogf] A163435 7.83495 [-2*(-448-2191*x+x^5-74*x^3-8*x^4-1480*x^2)/(x-1)/(x^5-7*x^4-30*x^3-574*x^2-539*x-51) lgdogf] A163438 4.73092 [(x+1)*(x^4+x^3+x^2+x+1)/(66*x^5-11*x^4-11*x^3-11*x^2-11*x+1) ogf] A163439 4.83784 [(x+1)*(x^4+x^3+x^2+x+1)/(78*x^5-12*x^4-12*x^3-12*x^2-12*x+1) ogf] A163440 4.97148 [(x+1)*(x^4+x^3+x^2+x+1)/(91*x^5-13*x^4-13*x^3-13*x^2-13*x+1) ogf] A163441 5.00446 [(x+1)*(x^4+x^3+x^2+x+1)/(105*x^5-14*x^4-14*x^3-14*x^2-14*x+1) ogf] A163444 12.7478 [-(4*x-1)/(34*x^2-12*x+1) ogf] A163444 13.6550 [-1/4*(-1-12*x+(1+8*x+8*x^2)^(1/2))/(2+17*x) revogf] A163444 13.6550 [-4*(2-17*x+34*x^2)/(-1+4*x)/(34*x^2-12*x+1) lgdogf] A163444 6.88674 [(7*f(x)+9)*(34*f(x)*x^2-12*f(x)*x+f(x)+4*x-1) ogf] A163444 7.13269 [{-a(n+2)+12*a(n+1)-34*a(n),a(0)=1,a(1)=8} ogf] A163445 13.3214 [-(5*x-1)/(47*x^2-14*x+1) ogf] A163445 14.2820 [-1/2*(-1-14*x+(1+8*x+8*x^2)^(1/2))/(5+47*x) revogf] A163445 14.9787 [-(9-94*x+235*x^2)/(5*x-1)/(47*x^2-14*x+1) lgdogf] A163445 7.03492 [(32*f(x)+49)*(47*f(x)*x^2-14*f(x)*x+f(x)+5*x-1) ogf] A163445 7.45367 [{-a(n+2)+14*a(n+1)-47*a(n),a(0)=1,a(1)=9} ogf] A163446 12.2163 [-(6*x-1)/(62*x^2-16*x+1) ogf] A163446 13.0788 [-1/4*(-16*x-1+(1+8*x+8*x^2)^(1/2))/(3+31*x) revogf] A163446 13.0788 [-2*(5-62*x+186*x^2)/(6*x-1)/(62*x^2-16*x+1) lgdogf] A163446 6.52461 [(9*f(x)+16)*(62*f(x)*x^2-16*f(x)*x+f(x)+6*x-1) ogf] A163446 6.75489 [{-a(n+2)+16*a(n+1)-62*a(n),a(0)=1,a(1)=10} ogf] A163447 11.8075 [-(7*x-1)/(79*x^2-18*x+1) ogf] A163447 12.6370 [-(11-158*x+553*x^2)/(7*x-1)/(79*x^2-18*x+1) lgdogf] A163447 12.6370 [-1/2*(-1-18*x+(1+8*x+8*x^2)^(1/2))/(7+79*x) revogf] A163447 6.23541 [(40*f(x)+81)*(79*f(x)*x^2-18*f(x)*x+f(x)+7*x-1) ogf] A163447 6.52884 [{-a(n+2)+18*a(n+1)-79*a(n),a(0)=1,a(1)=11} ogf] A163448 11.9305 [-(8*x-1)/(98*x^2-20*x+1) ogf] A163448 12.7714 [-1/4*(-1-20*x+(1+8*x+8*x^2)^(1/2))/(4+49*x) revogf] A163448 12.7714 [-4*(28*x-3)*(7*x-1)/(8*x-1)/(98*x^2-20*x+1) lgdogf] A163448 6.30036 [(11*f(x)+25)*(98*f(x)*x^2-20*f(x)*x+f(x)+8*x-1) ogf] A163448 6.59685 [{-a(n+2)+20*a(n+1)-98*a(n),a(0)=1,a(1)=12} ogf] A163449 10.1663 [(800*x^2-99*x+1)/(100*x-1)/(10*x-1) ogf] A163449 10.8806 [(11-400*x+11000*x^2)/(100*x-1)/(10*x-1)/(800*x^2-99*x+1) lgdogf] A163449 5.58687 [{a(n+3)-110*a(n+2)+1000*a(n+1),a(0)=1,a(1)=11,a(2)=1010} ogf] A163449 5.68939 [-(-689+810*f(x))*(1000*f(x)*x^2-110*f(x)*x-800*x^2+f(x)+99*x-1) ogf] A163450 10.5562 [(11-400*x+11000*x^2)/(100*x-1)/(10*x-1)/(800*x^2-99*x+1) lgdogf] A163450 5.05635 [-(8991*f(x)-825895)*(1000*f(x)*x^2-110*f(x)*x-80000*x^2+f(x)+9900*x-100) ogf] A163450 5.14279 [{a(n+3)-110*a(n+2)+1000*a(n+1),a(0)=100,a(1)=1100,a(2)=101000} ogf] A163450 8.98069 [100*(800*x^2-99*x+1)/(100*x-1)/(10*x-1) ogf] A163451 5.13685 [(x+1)*(x^4+x^3+x^2+x+1)/(120*x^5-15*x^4-15*x^3-15*x^2-15*x+1) ogf] A163452 5.21628 [(x+1)*(x^4+x^3+x^2+x+1)/(136*x^5-16*x^4-16*x^3-16*x^2-16*x+1) ogf] A163453 4.63826 [(x+1)*(x^4+x^3+x^2+x+1)/(153*x^5-17*x^4-17*x^3-17*x^2-17*x+1) ogf] A163454 4.69008 [(x+1)*(x^4+x^3+x^2+x+1)/(171*x^5-18*x^4-18*x^3-18*x^2-18*x+1) ogf] A163455 21.5570 [256*x*(1+x)^4/(5*x+4)^5 revogf] A163456 25.4628 [x*(1+4*x)^4/(1+5*x)^5 revogf] A163458 12.5566 [-(5*x-1)/(34*x^2-12*x+1) ogf] A163458 13.4460 [-1/2*(-1-12*x+(1+4*x+8*x^2)^(1/2))/(5+34*x) revogf] A163458 14.1019 [-(7-68*x+170*x^2)/(5*x-1)/(34*x^2-12*x+1) lgdogf] A163458 6.3458 [-(16*f(x)+33)*(34*f(x)*x^2-12*f(x)*x+f(x)+5*x-1) ogf] A163458 7.02570 [{a(n+2)-12*a(n+1)+34*a(n),a(0)=1,a(1)=7} ogf] A163459 13.1940 [-(6*x-1)/(47*x^2-14*x+1) ogf] A163459 14.1426 [-1/2*(-1-14*x+(1+4*x+8*x^2)^(1/2))/(6+47*x) revogf] A163459 14.1426 [-2*(4-47*x+141*x^2)/(6*x-1)/(47*x^2-14*x+1) lgdogf] A163459 6.7404 [-(9*f(x)+23)*(47*f(x)*x^2-14*f(x)*x+f(x)+6*x-1) ogf] A163459 7.38233 [{a(n+2)-14*a(n+1)+47*a(n),a(0)=1,a(1)=8} ogf] A163460 12.1536 [-(7*x-1)/(62*x^2-16*x+1) ogf] A163460 13.0103 [-1/2*(-16*x-1+(1+4*x+8*x^2)^(1/2))/(7+62*x) revogf] A163460 13.3201 [-(9-124*x+434*x^2)/(7*x-1)/(62*x^2-16*x+1) lgdogf] A163460 6.14216 [-(20*f(x)+61)*(62*f(x)*x^2-16*f(x)*x+f(x)+7*x-1) ogf] A163460 6.80025 [{a(n+2)-16*a(n+1)+62*a(n),a(0)=1,a(1)=9} ogf] A163461 11.8075 [-(8*x-1)/(79*x^2-18*x+1) ogf] A163461 12.6370 [-1/2*(-1-18*x+(1+4*x+8*x^2)^(1/2))/(8+79*x) revogf] A163461 12.6370 [-2*(5-79*x+316*x^2)/(8*x-1)/(79*x^2-18*x+1) lgdogf] A163461 5.96722 [-(11*f(x)+39)*(79*f(x)*x^2-18*f(x)*x+f(x)+8*x-1) ogf] A163461 6.52884 [{a(n+2)-18*a(n+1)+79*a(n),a(0)=1,a(1)=10} ogf] A163462 11.8075 [-(9*x-1)/(98*x^2-20*x+1) ogf] A163462 12.6370 [-(11-196*x+882*x^2)/(9*x-1)/(98*x^2-20*x+1) lgdogf] A163462 12.6370 [-1/2*(-1-20*x+(1+4*x+8*x^2)^(1/2))/(9+98*x) revogf] A163462 5.96722 [-(24*f(x)+97)*(98*f(x)*x^2-20*f(x)*x+f(x)+9*x-1) ogf] A163462 6.52884 [{a(n+2)-20*a(n+1)+98*a(n),a(0)=1,a(1)=11} ogf] A163470 11.9829 [-3*(3*x-1)/(13*x^2-8*x+1) ogf] A163470 12.2553 [-1/2*(-3-8*x+(9+12*x+12*x^2)^(1/2))/(9+13*x) revogf] A163470 13.4808 [-(5-26*x+39*x^2)/(-1+3*x)/(13*x^2-8*x+1) lgdogf] A163470 5.99146 [-(14*f(x)+33)*(13*f(x)*x^2-8*f(x)*x+f(x)+9*x-3) ogf] A163470 6.56207 [{a(n+2)-8*a(n+1)+13*a(n),a(0)=3,a(1)=15} ogf] A163471 12.3574 [-3*(4*x-1)/(22*x^2-10*x+1) ogf] A163471 12.9149 [-1/4*(-3-10*x+(9+12*x+12*x^2)^(1/2))/(6+11*x) revogf] A163471 13.5156 [-2*(3-22*x+44*x^2)/(-1+4*x)/(22*x^2-10*x+1) lgdogf] A163471 6.1787 [-(163*f(x)+483)*(22*f(x)*x^2-10*f(x)*x+f(x)+12*x-3) ogf] A163471 6.97829 [{a(n+2)-10*a(n+1)+22*a(n),a(0)=3,a(1)=18} ogf] A163472 13.1063 [-3*(5*x-1)/(33*x^2-12*x+1) ogf] A163472 13.7138 [-1/6*(-3-12*x+(9+12*x+12*x^2)^(1/2))/(5+11*x) revogf] A163472 15.0517 [-(7-66*x+165*x^2)/(5*x-1)/(33*x^2-12*x+1) lgdogf] A163472 6.76456 [-(6*f(x)+31)*(33*f(x)*x^2-12*f(x)*x+f(x)+15*x-3) ogf] A163472 7.40121 [{a(n+2)-12*a(n+1)+33*a(n),a(0)=3,a(1)=21} ogf] A163473 12.2685 [-3*(6*x-1)/(46*x^2-14*x+1) ogf] A163473 12.8247 [-1/4*(-3-14*x+(9+12*x+12*x^2)^(1/2))/(9+23*x) revogf] A163473 13.7407 [-4*(2-23*x+69*x^2)/(6*x-1)/(46*x^2-14*x+1) lgdogf] A163473 6.33213 [-(5*f(x)+33)*(46*f(x)*x^2-14*f(x)*x+f(x)+18*x-3) ogf] A163473 6.92809 [{a(n+2)-14*a(n+1)+46*a(n),a(0)=3,a(1)=24} ogf] A163474 11.5615 [-3*(7*x-1)/(61*x^2-16*x+1) ogf] A163474 11.8128 [-1/2*(-3-16*x+(9+12*x+12*x^2)^(1/2))/(21+61*x) revogf] A163474 12.9378 [-(9-122*x+427*x^2)/(7*x-1)/(61*x^2-16*x+1) lgdogf] A163474 5.60557 [-(1948*f(x)+13839)*(61*f(x)*x^2-16*f(x)*x+f(x)+21*x-3) ogf] A163474 6.52884 [{a(n+2)-16*a(n+1)+61*a(n),a(0)=3,a(1)=27} ogf] A163475 11.5615 [-3*(8*x-1)/(78*x^2-18*x+1) ogf] A163475 11.8128 [-1/12*(-3-18*x+(9+12*x+12*x^2)^(1/2))/(4+13*x) revogf] A163475 12.6370 [-2*(5-78*x+312*x^2)/(8*x-1)/(78*x^2-18*x+1) lgdogf] A163475 5.72115 [-(217*f(x)+1849)*(78*f(x)*x^2-18*f(x)*x+f(x)+24*x-3) ogf] A163475 6.52884 [{a(n+2)-18*a(n+1)+78*a(n),a(0)=3,a(1)=30} ogf] A163476 10.6836 [-3*(9*x-1)/(97*x^2-20*x+1) ogf] A163476 10.9017 [-1/2*(-3-20*x+(9+12*x+12*x^2)^(1/2))/(27+97*x) revogf] A163476 11.6623 [-(11-194*x+873*x^2)/(9*x-1)/(97*x^2-20*x+1) lgdogf] A163476 5.39802 [-(26*f(x)+285)*(97*f(x)*x^2-20*f(x)*x+f(x)+27*x-3) ogf] A163476 6.03307 [{a(n+2)-20*a(n+1)+97*a(n),a(0)=3,a(1)=33} ogf] A163495 5.56516 [x*(3*x^13+3*x^12-3*x^10-4*x^9-3*x^8-x^7+x^6+2*x^5+x^4-x^3-2*x^2-2*x-1)/(3*x^15-1) ogf] A163503 4.76782 [(x+1)*(x^4+x^3+x^2+x+1)/(190*x^5-19*x^4-19*x^3-19*x^2-19*x+1) ogf] A163514 4.79373 [(x+1)*(x^4+x^3+x^2+x+1)/(210*x^5-20*x^4-20*x^3-20*x^2-20*x+1) ogf] A163518 4.92329 [(x+1)*(x^4+x^3+x^2+x+1)/(231*x^5-21*x^4-21*x^3-21*x^2-21*x+1) ogf] A163519 4.94921 [(x+1)*(x^4+x^3+x^2+x+1)/(253*x^5-22*x^4-22*x^3-22*x^2-22*x+1) ogf] A163522 11.1936 [(-4-14*x+18*x^5-36*x^3+9*x^4-31*x^2)/(x-1)/(x+1)/(9*x^4+9*x^3+5*x^2+4*x+2) lgdogf] A163522 13.0022 [-(9*x^4+9*x^3+5*x^2+4*x+2)/(x-1)/(x+1) ogf] A163522 8.80358 [(1031*f(x)-660)*(9*x^4+f(x)*x^2+9*x^3+5*x^2-f(x)+4*x+2) ogf] A163525 5.00103 [(x+1)*(x^4+x^3+x^2+x+1)/(276*x^5-23*x^4-23*x^3-23*x^2-23*x+1) ogf] A163526 5.05285 [(x+1)*(x^4+x^3+x^2+x+1)/(300*x^5-24*x^4-24*x^3-24*x^2-24*x+1) ogf] A163527 5.10467 [(x+1)*(x^4+x^3+x^2+x+1)/(325*x^5-25*x^4-25*x^3-25*x^2-25*x+1) ogf] A163548 5.18241 [(x+1)*(x^4+x^3+x^2+x+1)/(351*x^5-26*x^4-26*x^3-26*x^2-26*x+1) ogf] A163549 5.20833 [(x+1)*(x^4+x^3+x^2+x+1)/(378*x^5-27*x^4-27*x^3-27*x^2-27*x+1) ogf] A163551 4.70042 [-(-24*x^16-24*x^15+61*x^14+11*x^13-24*x^12-8*x^3+4*x^2+4*x-2)/(24*x^16-24*x^15-13*x^14+13*x^13+8*x^3-4*x^2-4*x+2) ogf_with_Euler_transform] A163552 5.26015 [(x+1)*(x^4+x^3+x^2+x+1)/(406*x^5-28*x^4-28*x^3-28*x^2-28*x+1) ogf] A163564 5.28606 [(x+1)*(x^4+x^3+x^2+x+1)/(435*x^5-29*x^4-29*x^3-29*x^2-29*x+1) ogf] A163565 5.28606 [(x+1)*(x^4+x^3+x^2+x+1)/(465*x^5-30*x^4-30*x^3-30*x^2-30*x+1) ogf] A163567 5.46744 [(x+1)*(x^4+x^3+x^2+x+1)/(496*x^5-31*x^4-31*x^3-31*x^2-31*x+1) ogf] A163581 13.6469 [x^21-x^20+x^2 ogf_with_Euler_transform] A163581 22.8228 [3*x^2*(1+7*x^15)/(1-x^3+7*x^15) lgdogf] A163584 4.95628 [-x*(x^19+x^16+x^13+x^9+x^6+x^3+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A163593 5.46744 [(x+1)*(x^4+x^3+x^2+x+1)/(528*x^5-32*x^4-32*x^3-32*x^2-32*x+1) ogf] A163600 5.46744 [(x+1)*(x^4+x^3+x^2+x+1)/(561*x^5-33*x^4-33*x^3-33*x^2-33*x+1) ogf] A163601 5.51927 [(x+1)*(x^4+x^3+x^2+x+1)/(595*x^5-34*x^4-34*x^3-34*x^2-34*x+1) ogf] A163604 15.9501 [-(8*x-3)/(14*x^2-8*x+1) ogf] A163604 17.1705 [-1/4*(-3-8*x+(9+16*x+8*x^2)^(1/2))/(4+7*x) revogf] A163604 17.5893 [-4*(4-21*x+28*x^2)/(8*x-3)/(14*x^2-8*x+1) lgdogf] A163604 7.97506 [-(11*f(x)+31)*(14*f(x)*x^2-8*f(x)*x+f(x)+8*x-3) ogf] A163604 8.73458 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=3,a(1)=16} ogf] A163605 12.1701 [-(11*x-3)/(23*x^2-10*x+1) ogf] A163605 12.7152 [-1/2*(-3-10*x+(9+16*x+8*x^2)^(1/2))/(11+23*x) revogf] A163605 13.0042 [-(19-138*x+253*x^2)/(11*x-3)/(23*x^2-10*x+1) lgdogf] A163605 6.14913 [-(52*f(x)+205)*(23*f(x)*x^2-10*f(x)*x+f(x)+11*x-3) ogf] A163605 6.87255 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=3,a(1)=19} ogf] A163606 13.4632 [-(5*x-3)/(7*x^2-6*x+1) ogf] A163606 14.1305 [-1/2*(-3-6*x+(9+16*x+8*x^2)^(1/2))/(5+7*x) revogf] A163606 15.2174 [-(13-42*x+35*x^2)/(5*x-3)/(7*x^2-6*x+1) lgdogf] A163606 6.65763 [-(36*f(x)+61)*(7*f(x)*x^2-6*f(x)*x+f(x)+5*x-3) ogf] A163606 7.29933 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=3,a(1)=13} ogf] A163607 15.2541 [(x-5)/(x^2+2*x-1) ogf] A163607 16.8276 [1/2/(x-1)*(-5-2*x+(25+16*x+8*x^2)^(1/2)) revogf] A163607 21.0345 [-(-9-10*x+x^2)/(x-5)/(x^2+2*x-1) lgdogf] A163607 7.54323 [-(28*f(x)-59)*(f(x)*x^2+2*f(x)*x-f(x)-x+5) ogf] A163607 8.37113 [{-a(n+2)+2*a(n+1)+a(n),a(0)=5,a(1)=9} ogf] A163608 14.1247 [-(6*x-5)/(2*x^2-4*x+1) ogf] A163608 15.1926 [-1/4*(-5-4*x+(25+16*x+8*x^2)^(1/2))/(x+3) revogf] A163608 15.9717 [-2*(7-10*x+6*x^2)/(6*x-5)/(2*x^2-4*x+1) lgdogf] A163608 7.14169 [-(9*f(x)+4)*(2*f(x)*x^2-4*f(x)*x+f(x)+6*x-5) ogf] A163608 7.65795 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=5,a(1)=14} ogf] A163609 13.3049 [-(11*x-5)/(7*x^2-6*x+1) ogf] A163609 13.6287 [-1/2*(-5-6*x+(25+16*x+8*x^2)^(1/2))/(11+7*x) revogf] A163609 14.9915 [-(19-70*x+77*x^2)/(11*x-5)/(7*x^2-6*x+1) lgdogf] A163609 6.58093 [-(44*f(x)+141)*(7*f(x)*x^2-6*f(x)*x+f(x)+11*x-5) ogf] A163609 7.37381 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=5,a(1)=19} ogf] A163610 13.0202 [-(16*x-5)/(14*x^2-8*x+1) ogf] A163610 13.9481 [-1/4*(-5-8*x+(25+16*x+8*x^2)^(1/2))/(8+7*x) revogf] A163610 14.2802 [-4*(6-35*x+56*x^2)/(16*x-5)/(14*x^2-8*x+1) lgdogf] A163610 6.5801 [-(13*f(x)+79)*(14*f(x)*x^2-8*f(x)*x+f(x)+16*x-5) ogf] A163610 7.28511 [{a(n+2)-8*a(n+1)+14*a(n),a(0)=5,a(1)=24} ogf] A163611 12.4198 [-(21*x-5)/(23*x^2-10*x+1) ogf] A163611 12.6993 [-1/2*(-5-10*x+(25+16*x+8*x^2)^(1/2))/(21+23*x) revogf] A163611 13.2765 [-(29-230*x+483*x^2)/(21*x-5)/(23*x^2-10*x+1) lgdogf] A163611 6.27527 [-(60*f(x)+541)*(23*f(x)*x^2-10*f(x)*x+f(x)+21*x-5) ogf] A163611 7.01353 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=5,a(1)=29} ogf] A163613 13.9128 [(4*x+1)/(2*x^2-4*x+1) ogf] A163613 15.3341 [-1/4*(-1-4*x+(1+24*x+8*x^2)^(1/2))/(x-2) revogf] A163613 16.5774 [-4*(-2+x+2*x^2)/(4*x+1)/(2*x^2-4*x+1) lgdogf] A163613 7.36561 [(7*f(x)+9)*(2*f(x)*x^2-4*f(x)*x+f(x)-4*x-1) ogf] A163613 7.63507 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=8} ogf] A163614 13.2571 [(3*x+1)/(7*x^2-6*x+1) ogf] A163614 13.5862 [-1/2*(-1-6*x+(1+24*x+8*x^2)^(1/2))/(-3+7*x) revogf] A163614 14.9797 [-(-9+14*x+21*x^2)/(3*x+1)/(7*x^2-6*x+1) lgdogf] A163614 6.85714 [(40*f(x)+41)*(7*f(x)*x^2-6*f(x)*x+f(x)-3*x-1) ogf] A163614 7.27526 [{-a(n+2)+6*a(n+1)-7*a(n),a(0)=1,a(1)=9} ogf] A163615 13.1047 [(2*x+1)/(14*x^2-8*x+1) ogf] A163615 13.7357 [-1/4*(-1-8*x+(1+24*x+8*x^2)^(1/2))/(-1+7*x) revogf] A163615 14.0628 [-2*(-5+14*x+14*x^2)/(2*x+1)/(14*x^2-8*x+1) lgdogf] A163615 6.85018 [(13*f(x)+12)*(14*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A163615 7.17637 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=1,a(1)=10} ogf] A163616 12.3654 [(x+1)/(23*x^2-10*x+1) ogf] A163616 12.6486 [-1/2*(-1-10*x+(1+24*x+8*x^2)^(1/2))/(-1+23*x) revogf] A163616 14.2297 [-(-11+46*x+23*x^2)/(x+1)/(23*x^2-10*x+1) lgdogf] A163616 6.53002 [(64*f(x)+57)*(23*f(x)*x^2-10*f(x)*x+f(x)-x-1) ogf] A163616 6.83732 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=1,a(1)=11} ogf] A163633 4.85915 [(8*x^13-18*x^12+10*x^11-10*x^8+16*x^7-16*x^6+16*x^5-16*x^4+16*x^3-11*x^2+8*x-5)/(x-1)^3 ogf] A163645 4.80869 [(x+1)*(x^4+x^3+x^2+x+1)/(630*x^5-35*x^4-35*x^3-35*x^2-35*x+1) ogf] A163645 9.52832 [-(36*f(x)*x-f(x)+x+1)^3 ogf] A163650 15.7393 [-2*x*(-1+3*x^2-8*x)/(x-1)/(3*x+1)/(2*x^2-3*x-1) lgdogf] A163655 10.2690 [x*(5*x^2-9*x+10)/(x-1)^4 ogf] A163655 19.7064 [-(31-17*x+10*x^2)/(x-1)/(5*x^2-9*x+10) lgdogf] A163655 3.70687 [{(30+10*n)*a(n+4)+(-69-19*n)*a(n+3)+(31+14*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=10,a(2)=31,a(3)=69} ogf] A163655 5.20486 [(1624320*f(x)-2325907)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x+9*x^2+f(x)-10*x) ogf] A163660 4.80869 [(x+1)*(x^4+x^3+x^2+x+1)/(666*x^5-36*x^4-36*x^3-36*x^2-36*x+1) ogf] A163660 9.52832 [-(37*f(x)*x-f(x)+x+1)^3 ogf] A163661 10.1813 [x*(7*x^2-13*x+12)/(x-1)^4 ogf] A163661 19.2957 [-(35-25*x+14*x^2)/(x-1)/(7*x^2-13*x+12) lgdogf] A163661 3.72487 [{(36+12*n)*a(n+4)+(-85-25*n)*a(n+3)+(45+20*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=12,a(2)=35,a(3)=75} ogf] A163661 5.23012 [(1391040*f(x)-524179)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+13*x^2+f(x)-12*x) ogf] A163662 11.1040 [-1/200*(-101*x-10+(121*x+10)^(1/2)*(81*x+10)^(1/2))/x revogf] A163662 15.7649 [10/(100*x-1)/(x-1) ogf] A163662 20.2935 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A163662 6.44157 [(10001*f(x)+2000)*(100*f(x)*x^2-101*f(x)*x+f(x)-10) ogf] A163662 6.65630 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=10,a(1)=1010} ogf] A163663 14.7096 [-1/200*(-10-11*x+(100+220*x+81*x^2)^(1/2))/x revogf] A163663 14.8943 [100*x/(100*x-1)/(10*x-1) ogf] A163663 19.0360 [-10*(-11+200*x)/(100*x-1)/(10*x-1) lgdogf] A163663 7.44714 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=0,a(1)=100} ogf] A163663 9.92952 [-1000*f(x)*x^2+110*f(x)*x-f(x)+100*x ogf] A163664 10.9729 [-10*(101-2200*x+20000*x^2)/(-11+200*x)/(100*x-1)/(10*x-1) lgdogf] A163664 11.5639 [-10*(200*x-11)/(100*x-1)/(10*x-1) ogf] A163664 13.0304 [-1/200*(-11-11*x+(121+162*x+81*x^2)^(1/2))/(x+2) revogf] A163664 6.11551 [-(891*f(x)+4000)*(1000*f(x)*x^2-110*f(x)*x+f(x)+2000*x-110) ogf] A163664 6.83885 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=110,a(1)=10100} ogf] A163668 4.85931 [(x+1)*(x^4+x^3+x^2+x+1)/(703*x^5-37*x^4-37*x^3-37*x^2-37*x+1) ogf] A163668 9.62862 [-(38*f(x)*x-f(x)+x+1)^3 ogf] A163669 4.88462 [(x+1)*(x^4+x^3+x^2+x+1)/(741*x^5-38*x^4-38*x^3-38*x^2-38*x+1) ogf] A163669 9.67877 [-(39*f(x)*x-f(x)+x+1)^3 ogf] A163673 17.1287 [-3*(11-7*x+4*x^2)/(x-1)/(6*x^2-11*x+11) lgdogf] A163673 4.49571 [-(1507680*f(x)-1755163)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x+11*x^2+f(x)-11*x) ogf] A163673 9.05137 [x*(6*x^2-11*x+11)/(x-1)^4 ogf] A163675 10.5465 [x*(8*x^2-15*x+13)/(x-1)^4 ogf] A163675 19.9961 [-(37-29*x+16*x^2)/(x-1)/(8*x^2-15*x+13) lgdogf] A163675 3.85849 [{(39+13*n)*a(n+4)+(-93-28*n)*a(n+3)+(52+23*n)*a(n+2)+(-16-8*n)*a(n+1),a(0)=0,a(1)=13,a(2)=37,a(3)=78} ogf] A163675 5.45511 [(254880*f(x)+260449)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x+15*x^2+f(x)-13*x) ogf] A163677 4.93523 [(x+1)*(x^4+x^3+x^2+x+1)/(780*x^5-39*x^4-39*x^3-39*x^2-39*x+1) ogf] A163677 9.77907 [-(40*f(x)*x-f(x)+x+1)^3 ogf] A163683 11.2425 [-x*(3*x^2-8*x-7)/(x-1)^4 ogf] A163683 23.1302 [-6*(-6-3*x+x^2)/(x-1)/(3*x^2-8*x-7) lgdogf] A163683 4.08308 [{(-21-7*n)*a(n+4)+(34-n)*a(n+3)+(29+11*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=7,a(2)=36,a(3)=99} ogf] A163683 5.62123 [(1191240*f(x)+14532857)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-8*x^2+f(x)-7*x) ogf] A163685 9.16271 [(3-2*x-2*x^6+x^8+10*x^5+4*x^3-7*x^4+2*x^2)/(x^2-x+1)/(x^2+x-1)/(x^5-x^4-x^3-x-1) lgdogf] A163685 9.70727 [(x^5-x^4-x^3-x-1)/(x^2-x+1)/(x^2+x-1) ogf] A163686 3.88709 [(2*x^11+3*x^10-2*x^9-6*x^8-4*x^7+2*x^6+4*x^5-10*x^4+6*x^3-2*x^2-1)/(x^3+x^2-x+1)/(x^4+2*x-1)/(x-1)^2 ogf] A163695 14.5118 [(x-2)*(x+1)^2/(x^2+x-1) ogf] A163695 21.5624 [(5-x+x^3+x^2)/(x-2)/(x+1)/(x^2+x-1) lgdogf] A163695 6.68805 [{a(n+4)-a(n+3)-a(n+2),a(0)=2,a(1)=5,a(2)=7,a(3)=11} ogf] A163695 8.27017 [(5*f(x)+2)*(f(x)*x^2-x^3+f(x)*x-f(x)+3*x+2) ogf] A163696 5.00069 [(-11-3*x^10-7*x^11+4*x^12-35*x^5-18*x^3+29*x^4-6*x^2-31*x^7+21*x+73*x^6-30*x^8+30*x^9)/(x-1)/(x^4+2*x-1)/(2*x^8+x^7-5*x^6-x^4+x^2+x-3) lgdogf] A163696 5.84241 [(2*x^8+x^7-5*x^6-x^4+x^2+x-3)/(x^4+2*x-1)/(x-1)^2 ogf] A163704 12.7244 [(5-3*x+3*x^3-7*x^2)/(x-1)/(x^2+x-1)/(x^4-x^3-2*x^2+2*x+1) lgdogf] A163704 4.96317 [(210*f(x)-439)*(f(x)*x^4-f(x)*x^3+x^4-2*f(x)*x^2-x^3+3*f(x)*x-2*x^2-f(x)+2*x+1) ogf] A163704 8.70015 [-(x^4-x^3-2*x^2+2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A163705 3.99867 [-(2*x^10+2*x^9-4*x^8-4*x^7-2*x^6+3*x^5+6*x^4-8*x^3-x^2+x+1)/(x^2+x-1)/(x^4+2*x-1)/(x-1)^3 ogf] A163714 14.1988 [(x+1)*(x^2-x-3)/(x^2+x-1) ogf] A163714 15.7065 [(7+6*x+2*x^3+x^4+x^2)/(x+1)/(x^2-x-3)/(x^2+x-1) lgdogf] A163714 6.48741 [{a(n+4)-a(n+3)-a(n+2),a(0)=3,a(1)=7,a(2)=10,a(3)=16} ogf] A163714 7.92146 [(85*f(x)+57)*(f(x)*x^2-x^3+f(x)*x-f(x)+4*x+3) ogf] A163715 4.93566 [(x+1)*(2*x^7-x^6-7*x^5+10*x^4-6*x^3-3*x^2+9*x-6)/(x^4+2*x-1)/(x-1)^2 ogf] A163723 10.7544 [-(-7+x^6+2*x^3-4*x^4+14*x^2)/(x-1)/(x^2+x-1)/(x^4-x^3-2*x^2+3*x+1) lgdogf] A163723 7.78256 [(x^4-x^3-2*x^2+3*x+1)/(x^2+x-1)/(x-1)^3 ogf] A163724 3.90608 [(2*x^10+x^9-5*x^8-x^7+x^6+4*x^4-7*x^3-3*x^2+3*x+1)/(x^2+x-1)/(x^4+2*x-1)/(x-1)^4 ogf] A163733 16.1106 [(1+2*x+2*x^3+x^4-3*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1) lgdogf] A163733 16.4118 [(x-1)*(x^2+x+1)/(x^2+x-1) ogf] A163733 7.05418 [{a(n+4)-a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=2} ogf] A163733 9.03568 [(2*f(x)+1)*(f(x)*x^2-x^3+f(x)*x-f(x)+1) ogf] A163734 5.18971 [(2*x^8+3*x^7-4*x^6-6*x^5-x^4+3*x^3-2*x^2+2*x-1)/(x^4+2*x-1)/(x-1)^2 ogf] A163743 4.93523 [(x+1)*(x^4+x^3+x^2+x+1)/(820*x^5-40*x^4-40*x^3-40*x^2-40*x+1) ogf] A163743 9.77907 [-(41*f(x)*x-f(x)+x+1)^3 ogf] A163745 4.96054 [(x+1)*(x^4+x^3+x^2+x+1)/(861*x^5-41*x^4-41*x^3-41*x^2-41*x+1) ogf] A163745 9.82922 [-(42*f(x)*x-f(x)+x+1)^3 ogf] A163748 4.98585 [(x+1)*(x^4+x^3+x^2+x+1)/(903*x^5-42*x^4-42*x^3-42*x^2-42*x+1) ogf] A163748 9.87937 [-(43*f(x)*x-f(x)+x+1)^3 ogf] A163749 5.03647 [(x+1)*(x^4+x^3+x^2+x+1)/(946*x^5-43*x^4-43*x^3-43*x^2-43*x+1) ogf] A163749 9.97967 [-(44*f(x)*x-f(x)+x+1)^3 ogf] A163750 13.7292 [-x*(7*x^4-9*x^3+x-1)/(x-1)^2 ogf] A163750 17.5965 [(1-x-37*x^3+14*x^4+27*x^2)/(x-1)/(7*x^4-9*x^3+x-1) lgdogf] A163756 10.5903 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+14*x ogf] A163756 101.828 [-3/(x-1) lgdogf] A163756 17.9575 [-14*x/(x-1)^3 ogf] A163756 63.1668 [[3] ogf_with_Euler_transform] A163756 7.31013 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=42} ogf] A163758 10.5763 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+18*x ogf] A163758 101.700 [-3/(x-1) lgdogf] A163758 17.9338 [-18*x/(x-1)^3 ogf] A163758 63.0725 [[3] ogf_with_Euler_transform] A163758 7.30047 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=18,a(2)=54} ogf] A163761 10.6734 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+20*x ogf] A163761 17.4978 [-20*x/(x-1)^3 ogf] A163761 61.5278 [[3] ogf_with_Euler_transform] A163761 7.12298 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=20,a(2)=60} ogf] A163761 99.2017 [-3/(x-1) lgdogf] A163802 5.03647 [(x+1)*(x^4+x^3+x^2+x+1)/(990*x^5-44*x^4-44*x^3-44*x^2-44*x+1) ogf] A163802 9.97967 [-(45*f(x)*x-f(x)+x+1)^3 ogf] A163803 4.98983 [(x+1)*(x^4+x^3+x^2+x+1)/(1035*x^5-45*x^4-45*x^3-45*x^2-45*x+1) ogf] A163803 9.97967 [-(46*f(x)*x-f(x)+x+1)^3 ogf] A163804 12.5286 [f(x)*x^2+f(x)*x-x^2+f(x)-1 ogf] A163804 17.1310 [(x^2+1)/(x^2+x+1) ogf] A163804 25.3852 [-x^3+x^2+x-1 ogf_with_Euler_transform] A163804 39.5588 [(x-1)*(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A163804 8.22960 [{-a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=1} ogf] A163805 14.1375 [f(x)*x^2-x^2+f(x)+x-1 ogf] A163805 15.2916 [(x^2-x+1)/(x^2+1) ogf] A163805 18.2377 [[-x^5+x^3+x^2-1] ogf_with_Euler_transform] A163805 37.7131 [(x-1)*(x+1)/(1+x^2)/(x^2-x+1) lgdogf] A163805 9.02757 [{-a(n+3)-a(n+1),a(0)=1,a(1)=-1,a(2)=0} ogf] A163806 12.4337 [f(x)*x^2-f(x)*x-x^2+f(x)-1 ogf] A163806 17.0012 [(x^2+1)/(x^2-x+1) ogf] A163806 20.2767 [[x^5-x^3-x^2+1] ogf_with_Euler_transform] A163806 37.6971 [-(x-1)*(x+1)/(1+x^2)/(x^2-x+1) lgdogf] A163806 8.16725 [{a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1} ogf] A163810 11.7332 [f(x)*x^2-f(x)*x-x^2+f(x)+2*x-1 ogf] A163810 15.7181 [(x-1)^2/(x^2-x+1) ogf] A163810 25.1923 [x^5-x^2-x-1 ogf_with_Euler_transform] A163810 54.2962 [(x+1)/(x-1)/(x^2-x+1) lgdogf] A163810 8.16725 [{-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=-1} ogf] A163811 16.7690 [(x-1)*(x+1)*(x^4+3*x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1) lgdogf] A163811 18.0755 [-x^9+x^5+x^4-1 ogf_with_Euler_transform] A163811 5.44854 [{-a(n+5)-a(n+3)-a(n+1),a(0)=1,a(1)=-1,a(2)=0,a(3)=0,a(4)=0} ogf] A163811 5.93071 [-(f(x)-1)*(f(x)*x^4-x^4+f(x)*x^2+x^3-x^2+f(x)+x-1) ogf] A163811 9.18041 [(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^2-x+1) ogf] A163812 12.3043 [(x^2+x+1)*(x^2-x+1)/(x^4-x^3+x^2-x+1) ogf] A163812 18.1068 [-(x-1)*(x+1)*(x^4+3*x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^3+x^2-x+1) lgdogf] A163812 24.2261 [x^9-x^5-x^4+1 ogf_with_Euler_transform] A163812 6.55631 [-(f(x)-1)*(f(x)*x^4-f(x)*x^3-x^4+f(x)*x^2-f(x)*x-x^2+f(x)-1) ogf] A163815 12.5474 [2*x*(x+5)/(x-1)^4 ogf] A163815 40.8493 [-3*(7+x)/(x+5)/(x-1) lgdogf] A163815 5.41259 [{(10+5*n)*a(n+3)+(-25-4*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=10,a(2)=42} ogf] A163815 6.00092 [(1103760*f(x)+6991973)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-10*x) ogf] A163817 16.4343 [-(x-1)*(x+1)*(x^4+3*x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A163817 18.0755 [[x^5-x^4-x+1] ogf_with_Euler_transform] A163817 5.44854 [{-a(n+5)-a(n+3)-a(n+1),a(0)=1,a(1)=1,a(2)=0,a(3)=0,a(4)=0} ogf] A163817 6.14835 [(f(x)-1)*(f(x)*x^4-x^4+f(x)*x^2-x^3-x^2+f(x)-x-1) ogf] A163817 9.18041 [(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1) ogf] A163818 12.3043 [(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1) ogf] A163818 18.5420 [(x-1)*(x+1)*(x^4+3*x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A163818 24.2261 [[-x^5+x^4+x-1] ogf_with_Euler_transform] A163818 6.55631 [-(f(x)-1)*(f(x)*x^4+f(x)*x^3-x^4+f(x)*x^2+f(x)*x-x^2+f(x)-1) ogf] A163827 15.7827 [-(-49-81*x+x^3-15*x^2)/(x-1)/(x^3-9*x^2-21*x-7) lgdogf] A163827 4.13182 [{(-7*n^2-39*n-50)*a(n+1)+(2*n^2-24*n-70)*a(n+2)+(5*n^2+27*n+36)*a(n+3),a(0)=7,a(1)=49,a(2)=163} ogf] A163827 5.25085 [(967*f(x)+19031)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-9*x^2+f(x)-21*x-7) ogf] A163827 9.69388 [-(x^3-9*x^2-21*x-7)/(x-1)^4 ogf] A163829 10.1803 [-(47*f(x)*x-f(x)+x+1)^3 ogf] A163829 5.09013 [(x+1)*(x^4+x^3+x^2+x+1)/(1081*x^5-46*x^4-46*x^3-46*x^2-46*x+1) ogf] A163832 10.4386 [-2*x*(x+1)*(x-4)/(x-1)^4 ogf] A163832 22.0891 [-(-19-7*x+2*x^2)/(x-1)/(x-4)/(x+1) lgdogf] A163832 3.79114 [{(-12-4*n)*a(n+4)+(21+n)*a(n+3)+(11+4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=8,a(2)=38,a(3)=102} ogf] A163832 5.21932 [(1162080*f(x)+11743469)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-6*x^2+f(x)-8*x) ogf] A163833 19.0048 [-(-59-17*x+4*x^2)/(x-1)/(2*x^2-7*x-13) lgdogf] A163833 5.09039 [(84640*f(x)+1115453)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-7*x^2+f(x)-13*x) ogf] A163833 9.90564 [-x*(2*x^2-7*x-13)/(x-1)^4 ogf] A163834 16.2905 [-(7*x-2)/(4*x-1)/(x-1) ogf] A163834 17.5620 [-1/2*(-2-5*x+(4-8*x+9*x^2)^(1/2))/(7+4*x) revogf] A163834 18.4626 [-(3-16*x+28*x^2)/(x-1)/(-1+4*x)/(7*x-2) lgdogf] A163834 8.52409 [(f(x)-11)*(4*f(x)*x^2-5*f(x)*x+f(x)+7*x-2) ogf] A163834 8.93990 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=2,a(1)=3} ogf] A163835 10.1803 [-(48*f(x)*x-f(x)+x+1)^3 ogf] A163835 5.09013 [(x+1)*(x^4+x^3+x^2+x+1)/(1128*x^5-47*x^4-47*x^3-47*x^2-47*x+1) ogf] A163837 10.1803 [-(49*f(x)*x-f(x)+x+1)^3 ogf] A163837 5.09013 [(x+1)*(x^4+x^3+x^2+x+1)/(1176*x^5-48*x^4-48*x^3-48*x^2-48*x+1) ogf] A163839 13.3084 [-1/256*(-1-12*x+(1+24*x+16*x^2)^(1/2))/x revogf] A163839 13.5164 [4*x/(32*x-1)/(16*x-1) ogf] A163839 17.1722 [-16*(-3+64*x)/(32*x-1)/(16*x-1) lgdogf] A163839 6.43637 [{a(n+2)-48*a(n+1)+512*a(n),a(0)=0,a(1)=4} ogf] A163839 8.72024 [-512*f(x)*x^2+48*f(x)*x-f(x)+4*x ogf] A163864 10.701 [-(19*f(x)+16)*(2*f(x)*x^2-f(x)+6*x+1) ogf] A163864 12.2058 [{a(n+2)-2*a(n),a(0)=1,a(1)=6} ogf] A163864 19.0530 [-(6*x+1)/(2*x^2-1) ogf] A163864 21.8921 [1/4*(-1+(1+24*x+8*x^2)^(1/2))/(x+3) revogf] A163864 22.5360 [-2*(3+2*x+6*x^2)/(6*x+1)/(2*x^2-1) lgdogf] A163865 14.3089 [-2*(2*x-1)*(3*x^2+2*x+1)/(-1+3*x)/(x+1)/(4*x^2+x-1) lgdogf] A163868 15.9363 [-(15*x-4)/(4*x-1)/(x-1) ogf] A163868 16.3645 [-1/2*(-4-5*x+(16-20*x+9*x^2)^(1/2))/(15+4*x) revogf] A163868 18.0010 [-(5-32*x+60*x^2)/(x-1)/(-1+4*x)/(15*x-4) lgdogf] A163868 8.42611 [(7*f(x)-53)*(4*f(x)*x^2-5*f(x)*x+f(x)+15*x-4) ogf] A163868 8.93990 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=4,a(1)=5} ogf] A163869 22.2726 [-(-7+5*x)/(5*x-1)/(x-1) lgdogf] A163869 3.42649 [{(n+3)*a(n+3)+(-19-6*n)*a(n+2)+(10+5*n)*a(n+1),a(0)=1,a(1)=7,a(2)=43} ogf] A163869 8.71287 [125*f(x)^2*x^3-75*f(x)^2*x^2+15*f(x)^2*x-f(x)^2-x+1 ogf] A163872 31.8120 [-(5+3*x)/(x+1)/(-1+3*x) lgdogf] A163872 4.93285 [{(-n-3)*a(n+3)+(9+2*n)*a(n+2)+(6+3*n)*a(n+1),a(0)=1,a(1)=5,a(2)=19} ogf] A163872 8.5616 [-27*f(x)^2*x^3+27*f(x)^2*x^2-9*f(x)^2*x+f(x)^2-x-1 ogf] A163876 6.36544 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x^6-x^5-x^4-x^3-x^2-x+1) ogf] A163877 5.59725 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(3*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x+1) ogf] A163878 5.62270 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(6*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x+1) ogf] A163888 10.0797 [-1/34*34^(1/2)*17^(1/2)*(arcsinh(2/17*34^(1/2))-arcsinh(1/17*34^(1/2)*(x+2))) revegf] A163888 11.1407 [(165*f(x)-761)*(2*f(x)*x^2-f(x)+4*x+5) ogf] A163888 12.3592 [{-a(n+2)+2*a(n),a(0)=5,a(1)=4} ogf] A163888 19.2924 [-(4*x+5)/(2*x^2-1) ogf] A163888 22.8275 [-4*(1+5*x+2*x^2)/(4*x+5)/(2*x^2-1) lgdogf] A163922 5.21286 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(10*x^6-4*x^5-4*x^4-4*x^3-4*x^2-4*x+1) ogf] A163923 5.13440 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(15*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x+1) ogf] A163924 4.95057 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(21*x^6-6*x^5-6*x^4-6*x^3-6*x^2-6*x+1) ogf] A163927 11.2535 [-(108*x-7)*(36*x-7)/(-1+4*x)/(36*x-1)/(9*x-1) lgdogf] A163927 12.0288 [-1/(4*x-1)/(36*x-1)/(9*x-1) ogf] A163927 4.23966 [{a(n+3)-49*a(n+2)+504*a(n+1)-1296*a(n),a(0)=1,a(1)=49,a(2)=1897} ogf] A163927 4.78924 [(403*f(x)-60)*(1296*f(x)*x^3-504*f(x)*x^2+49*f(x)*x-f(x)+1) ogf] A163933 16.4944 [-15*(7+12*x+2*x^2)/(x-1)/(6*x^2+28*x+11) lgdogf] A163933 6.79903 [-(6*x^2+28*x+11)/(x-1)^7 ogf] A163935 16.7082 [-4*(17+22*x+3*x^2)/(x-1)/(7+12*x+2*x^2) lgdogf] A163935 6.09772 [5*(2*x^2+12*x+7)/(x-1)^8 ogf] A163941 11.4566 [1/(2*x-1)/(x-1)/(3*x-1)^2 ogf] A163941 14.9539 [-(9-31*x+24*x^2)/(x-1)/(-1+3*x)/(2*x-1) lgdogf] A163941 4.54766 [(1241629*f(x)+322560)*(18*f(x)*x^4-39*f(x)*x^3+29*f(x)*x^2-9*f(x)*x+f(x)-1) ogf] A163942 10.1309 [-2*(-7+47*x+60*x^3-97*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(-1+4*x) lgdogf] A163942 9.99617 [-1/(x-1)/(3*x-1)/(2*x-1)/(4*x-1)^2 ogf] A163943 15.9683 [-(17+2*x+2*x^3-6*x^2)/(x-1)/(x^3-3*x^2+2*x+3) lgdogf] A163943 3.75982 [{(-217*n^2-1599*n-2330)*a(n+1)+(335*n^2+1395*n+142)*a(n+2)+(-118*n^2-192*n+88)*a(n+3),a(0)=0,a(1)=3,a(2)=17} ogf] A163943 8.01545 [-x*(x^3-3*x^2+2*x+3)/(x-1)^5 ogf] A163944 5.67825 [x*(x^5-3*x^4-x^3+13*x^2-21*x-4)/(x-1)^7 ogf] A163944 9.60589 [-(-49-100*x+2*x^5-16*x^3-4*x^4+62*x^2)/(x-1)/(x^5-3*x^4-x^3+13*x^2-21*x-4) lgdogf] A163953 5.20445 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(28*x^6-7*x^5-7*x^4-7*x^3-7*x^2-7*x+1) ogf] A163954 4.86581 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(36*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x+1) ogf] A163955 11.099 [(10*f(x)*x-f(x)+x+1)^3 ogf] A163955 4.70297 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(45*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1) ogf] A163957 11.099 [(11*f(x)*x-f(x)+x+1)^3 ogf] A163957 4.51180 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(55*x^6-10*x^5-10*x^4-10*x^3-10*x^2-10*x+1) ogf] A163958 10.0296 [(12*f(x)*x-f(x)+x+1)^3 ogf] A163958 4.07706 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(66*x^6-11*x^5-11*x^4-11*x^3-11*x^2-11*x+1) ogf] A163959 10.2562 [(13*f(x)*x-f(x)+x+1)^3 ogf] A163959 4.16920 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(78*x^6-12*x^5-12*x^4-12*x^3-12*x^2-12*x+1) ogf] A163962 10.5396 [(14*f(x)*x-f(x)+x+1)^3 ogf] A163962 4.28437 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(91*x^6-13*x^5-13*x^4-13*x^3-13*x^2-13*x+1) ogf] A163964 10.7095 [(15*f(x)*x-f(x)+x+1)^3 ogf] A163964 4.31836 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(105*x^6-14*x^5-14*x^4-14*x^3-14*x^2-14*x+1) ogf] A163965 10.9929 [(16*f(x)*x-f(x)+x+1)^3 ogf] A163965 4.43260 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(120*x^6-15*x^5-15*x^4-15*x^3-15*x^2-15*x+1) ogf] A163967 11.1629 [(17*f(x)*x-f(x)+x+1)^3 ogf] A163967 4.50115 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(136*x^6-16*x^5-16*x^4-16*x^3-16*x^2-16*x+1) ogf] A163968 4.00237 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(153*x^6-17*x^5-17*x^4-17*x^3-17*x^2-17*x+1) ogf] A163968 9.92587 [(18*f(x)*x-f(x)+x+1)^3 ogf] A163969 10.0368 [(19*f(x)*x-f(x)+x+1)^3 ogf] A163969 4.04709 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(171*x^6-18*x^5-18*x^4-18*x^3-18*x^2-18*x+1) ogf] A163977 10.2031 [(20*f(x)*x-f(x)+x+1)^3 ogf] A163977 4.11417 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(190*x^6-19*x^5-19*x^4-19*x^3-19*x^2-19*x+1) ogf] A163978 11.1407 [(51*f(x)-89)*(2*f(x)*x^2-f(x)+4*x+3) ogf] A163978 12.0111 [{-a(n+2)+2*a(n),a(0)=3,a(1)=4} ogf] A163978 13.4617 [1/2*2^(1/2)*(-arcsinh(2*2^(1/2))+arcsinh(2^(1/2)*(x+2))) revegf] A163978 18.7490 [-(4*x+3)/(2*x^2-1) ogf] A163978 22.1722 [-4*(x+1)*(2*x+1)/(4*x+3)/(2*x^2-1) lgdogf] A163979 11.7424 [-(3+4*x+5*x^6+8*x^5+22*x^3+8*x^4+4*x^2)/(x-1)/(x^2+x+1)/(5*x^4-x^3+x+1) lgdogf] A163979 9.99432 [-(5*x^4-x^3+x+1)/(x^2+x+1)/(x-1)^3 ogf] A163980 14.6294 [-(x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A163980 20.3636 [-(-5-5*x+x^3-7*x^2)/(x-1)/(x+1)/(x^2-4*x-1) lgdogf] A163980 7.69307 [-(4*f(x)+21)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-4*x-1) ogf] A163980 7.96781 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=5} ogf] A163985 12.6087 [-x*(x^3-2*x^2-1)/(x-1)^2 ogf] A163985 19.0950 [(2+4*x+x^3-3*x^2)/(x-1)/(x^3-2*x^2-1) lgdogf] A163985 6.84475 [-(68*f(x)-1621)*(x^4+f(x)*x^2-2*x^3-2*f(x)*x+f(x)-x) ogf] A163988 10.2586 [(21*f(x)*x-f(x)+x+1)^3 ogf] A163988 4.13652 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(210*x^6-20*x^5-20*x^4-20*x^3-20*x^2-20*x+1) ogf] A163989 7.50950 [-(18*x^3+x^2+26*x+1)*(x^4+4*x^2+1)/(x-1)^3/(x+1)^3 ogf] A163989 8.10819 [2*(-13-8*x-112*x^6+9*x^8-8*x^5-20*x^3-428*x^4-248*x^2)/(x-1)/(x+1)/(18*x^3+x^2+26*x+1)/(x^4+4*x^2+1) lgdogf] A163991 13.7004 [(22*f(x)*x-f(x)+x+1)^3 ogf] A163991 4.24832 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(231*x^6-21*x^5-21*x^4-21*x^3-21*x^2-21*x+1) ogf] A163992 10.5913 [(23*f(x)*x-f(x)+x+1)^3 ogf] A163992 4.27069 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(253*x^6-22*x^5-22*x^4-22*x^3-22*x^2-22*x+1) ogf] A163993 10.7022 [(24*f(x)*x-f(x)+x+1)^3 ogf] A163993 4.31540 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(276*x^6-23*x^5-23*x^4-23*x^3-23*x^2-23*x+1) ogf] A163995 14.105 [(25*f(x)*x-f(x)+x+1)^3 ogf] A163995 4.36012 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(300*x^6-24*x^5-24*x^4-24*x^3-24*x^2-24*x+1) ogf] A164001 11.3526 [-(x^2+x+1)*(x+1)/(x^3+x^2-1) ogf] A164001 13.8996 [-(2+6*x+4*x^3+x^4+8*x^2)/(x+1)/(x^2+x+1)/(x^3+x^2-1) lgdogf] A164001 6.47296 [{-a(n+4)+a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4} ogf] A164001 7.02778 [-(7*f(x)-2)*(f(x)*x^3+f(x)*x^2+x^3+2*x^2-f(x)+2*x+1) ogf] A164004 11.2538 [x*(x^3-3*x^2+5*x-5)/(x-1)^3 ogf] A164004 23.1368 [-2*(-5+2*x)/(x-1)/(x^3-3*x^2+5*x-5) lgdogf] A164004 5.62688 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=5,a(2)=10,a(3)=18,a(4)=28} ogf] A164004 6.31942 [-(43*f(x)-857)*(f(x)*x^3-x^4-3*f(x)*x^2+3*x^3+3*f(x)*x-5*x^2-f(x)+5*x) ogf] A164005 11.3073 [x*(2*x^4-4*x^3+7*x-7)/(x-1)^3 ogf] A164005 15.9549 [2*(7-7*x-4*x^3+x^4+6*x^2)/(x-1)/(2*x^4-4*x^3+7*x-7) lgdogf] A164006 8.16922 [x*(8*x^6-21*x^5+23*x^4-18*x^3+6*x^2+11*x-11)/(x-1)^3 ogf] A164006 8.64762 [2*(11-17*x+12*x^6-45*x^5-46*x^3+64*x^4+24*x^2)/(x-1)/(8*x^6-21*x^5+23*x^4-18*x^3+6*x^2+11*x-11) lgdogf] A164007 6.55108 [2*(13-19*x+108*x^6+15*x^8-126*x^5-56*x^3+104*x^4+24*x^2-60*x^7)/(x-1)/(6*x^8-18*x^7+30*x^6-36*x^5+28*x^4-18*x^3+6*x^2+13*x-13) lgdogf] A164007 6.97643 [x*(6*x^8-18*x^7+30*x^6-36*x^5+28*x^4-18*x^3+6*x^2+13*x-13)/(x-1)^3 ogf] A164008 5.44855 [x*(9*x^11-19*x^10+3*x^9+39*x^8-75*x^7+81*x^6-72*x^5+56*x^4-36*x^3+12*x^2+17*x-17)/(x-1)^3 ogf] A164009 4.58370 [x*(24*x^14-72*x^13+82*x^12-45*x^11+11*x^10-7*x^9+45*x^8-88*x^7+88*x^6-66*x^5+38*x^4-18*x^3+6*x^2+19*x-19)/(x-1)^3 ogf] A164013 11.7645 [-3*(x^2+x+1)/(x-1)^3 ogf] A164013 16.3414 [-(-2*(1+3*x)^(1/3)+(1+3*x)^(2/3)-x+1)/(x+3) revogf] A164013 28.5202 [[-x^2+4] ogf_with_Euler_transform] A164013 29.2784 [-(x+2)^2/(x-1)/(x^2+x+1) lgdogf] A164013 6.24028 [-(f(x)-3)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+3*x+3) ogf] A164013 6.29503 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=12,a(2)=30} ogf] A164014 7.62395 [-(5+x)/(x-1)/(x+1) lgdogf] A164015 11.5816 [-5*(x^2+3*x+1)/(x-1)^3 ogf] A164015 23.4468 [-(6+8*x+x^2)/(x-1)/(x^2+3*x+1) lgdogf] A164015 6.29875 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=30,a(2)=80} ogf] A164015 6.3545 [(6*f(x)-65)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+15*x+5) ogf] A164016 11.5581 [-6*(x^2+4*x+1)/(x-1)^3 ogf] A164016 22.6469 [-(7+10*x+x^2)/(x-1)/(x^2+4*x+1) lgdogf] A164016 6.23134 [(29*f(x)-480)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+24*x+6) ogf] A164016 6.23135 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=42,a(2)=114} ogf] A164017 10.924 [(26*f(x)*x-f(x)+x+1)^3 ogf] A164017 4.40484 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(325*x^6-25*x^5-25*x^4-25*x^3-25*x^2-25*x+1) ogf] A164021 12.9815 [-(14*x-3)/(34*x^2-12*x+1) ogf] A164021 13.2854 [-2*(11-102*x+238*x^2)/(14*x-3)/(34*x^2-12*x+1) lgdogf] A164021 13.8893 [-1/4*(-3-12*x+(9+16*x+8*x^2)^(1/2))/(7+17*x) revogf] A164021 6.62885 [-(15*f(x)+76)*(34*f(x)*x^2-12*f(x)*x+f(x)+14*x-3) ogf] A164021 7.33073 [{a(n+2)-12*a(n+1)+34*a(n),a(0)=3,a(1)=22} ogf] A164025 11.0904 [(27*f(x)*x-f(x)+x+1)^3 ogf] A164025 4.47192 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(351*x^6-26*x^5-26*x^4-26*x^3-26*x^2-26*x+1) ogf] A164026 11.1458 [(28*f(x)*x-f(x)+x+1)^3 ogf] A164026 4.49428 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(378*x^6-27*x^5-27*x^4-27*x^3-27*x^2-27*x+1) ogf] A164027 11.2567 [(29*f(x)*x-f(x)+x+1)^3 ogf] A164027 4.53900 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(406*x^6-28*x^5-28*x^4-28*x^3-28*x^2-28*x+1) ogf] A164030 11.3122 [(30*f(x)*x-f(x)+x+1)^3 ogf] A164030 4.56135 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(435*x^6-29*x^5-29*x^4-29*x^3-29*x^2-29*x+1) ogf] A164031 12.1104 [-(2*x-1)/(23*x^2-10*x+1) ogf] A164031 12.6638 [-1/2*(-1-10*x+(1+12*x+8*x^2)^(1/2))/(2+23*x) revogf] A164031 13.2668 [-2*(4-23*x+23*x^2)/(2*x-1)/(23*x^2-10*x+1) lgdogf] A164031 6.39538 [(17*f(x)+15)*(23*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A164031 6.77606 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=1,a(1)=8} ogf] A164033 13.1198 [-(3*x-2)/(7*x^2-6*x+1) ogf] A164033 14.8211 [-(-1-3*x+((1+x)*(2*x+1))^(1/2))/(3+7*x) revogf] A164033 15.2112 [-(9-28*x+21*x^2)/(3*x-2)/(7*x^2-6*x+1) lgdogf] A164033 6.78608 [(26*f(x)+29)*(7*f(x)*x^2-6*f(x)*x+f(x)+3*x-2) ogf] A164033 7.19987 [{-a(n+2)+6*a(n+1)-7*a(n),a(0)=2,a(1)=9} ogf] A164034 12.9061 [-(5*x-2)/(14*x^2-8*x+1) ogf] A164034 14.5376 [-(11-56*x+70*x^2)/(5*x-2)/(14*x^2-8*x+1) lgdogf] A164034 14.5376 [-(-1-4*x+((1+x)*(2*x+1))^(1/2))/(5+14*x) revogf] A164034 6.74638 [(32*f(x)+57)*(14*f(x)*x^2-8*f(x)*x+f(x)+5*x-2) ogf] A164034 7.06763 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=2,a(1)=11} ogf] A164035 12.2379 [-(7*x-2)/(23*x^2-10*x+1) ogf] A164035 13.4095 [-(13-92*x+161*x^2)/(7*x-2)/(23*x^2-10*x+1) lgdogf] A164035 14.0799 [-(-1-5*x+((1+x)*(2*x+1))^(1/2))/(7+23*x) revogf] A164035 6.4627 [(38*f(x)+93)*(23*f(x)*x^2-10*f(x)*x+f(x)+7*x-2) ogf] A164035 6.76682 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=2,a(1)=13} ogf] A164036 12.9761 [(31*f(x)*x-f(x)+x+1)^3 ogf] A164036 4.56135 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(465*x^6-30*x^5-30*x^4-30*x^3-30*x^2-30*x+1) ogf] A164037 13.6693 [-(9*x-5)/(7*x^2-6*x+1) ogf] A164037 14.0175 [-1/2*(-5-6*x+(25+24*x+8*x^2)^(1/2))/(9+7*x) revogf] A164037 15.4552 [-7*(3-10*x+9*x^2)/(9*x-5)/(7*x^2-6*x+1) lgdogf] A164037 6.5438 [-(530*f(x)+1319)*(7*f(x)*x^2-6*f(x)*x+f(x)+9*x-5) ogf] A164037 7.41105 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=5,a(1)=21} ogf] A164038 12.4822 [-(19*x-5)/(23*x^2-10*x+1) ogf] A164038 12.7644 [-1/2*(-5-10*x+(25+24*x+8*x^2)^(1/2))/(19+23*x) revogf] A164038 13.3446 [-(31-230*x+437*x^2)/(19*x-5)/(23*x^2-10*x+1) lgdogf] A164038 6.3068 [-(80*f(x)+561)*(23*f(x)*x^2-10*f(x)*x+f(x)+19*x-5) ogf] A164038 7.04878 [{a(n+2)-10*a(n+1)+23*a(n),a(0)=5,a(1)=31} ogf] A164039 10.5899 [-(x^2-3*x+1)/(3*x-1)/(x-1)^2 ogf] A164039 12.6560 [-(-2+10*x+3*x^3-15*x^2)/(x-1)/(-1+3*x)/(x^2-3*x+1) lgdogf] A164039 5.61725 [-(2*f(x)+1)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+x^2-f(x)-3*x+1) ogf] A164039 5.76772 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A164044 10.3677 [-(x^2-3*x+1)/(4*x-1)/(x-1)^2 ogf] A164044 12.3944 [-(-3+13*x+4*x^3-20*x^2)/(x-1)/(-1+4*x)/(x^2-3*x+1) lgdogf] A164044 5.49941 [(489*f(x)+215)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A164044 5.59674 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A164045 12.0487 [-(-4+16*x+5*x^3-25*x^2)/(x-1)/(5*x-1)/(x^2-3*x+1) lgdogf] A164045 5.02294 [-(709*f(x)+251)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+x^2-f(x)-3*x+1) ogf] A164045 5.28731 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=4,a(2)=18} ogf] A164045 9.72182 [-(x^2-3*x+1)/(5*x-1)/(x-1)^2 ogf] A164046 10.0024 [-(110*x^2+9*x-11)/(10*x-1)/(10*x^2-1) ogf] A164046 5.31379 [-(891*f(x)+10601)*(100*f(x)*x^3-10*f(x)*x^2-10*f(x)*x+110*x^2+f(x)+9*x-11) ogf] A164046 5.57513 [{a(n+3)-10*a(n+2)-10*a(n+1)+100*a(n),a(0)=11,a(1)=101,a(2)=1010} ogf] A164046 9.41391 [-(101+1800*x^3+11000*x^4-2290*x^2)/(10*x-1)/(10*x^2-1)/(110*x^2+9*x-11) lgdogf] A164049 11.7003 [(32*f(x)*x-f(x)+x+1)^3 ogf] A164049 4.71787 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(496*x^6-31*x^5-31*x^4-31*x^3-31*x^2-31*x+1) ogf] A164050 11.7003 [(33*f(x)*x-f(x)+x+1)^3 ogf] A164050 4.71787 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(528*x^6-32*x^5-32*x^4-32*x^3-32*x^2-32*x+1) ogf] A164051 10.2931 [1/4*ln(2*x+3)-1/2*arctanh((16*x+25)^(1/2))-1/4*ln(3)+1/2*arctanh(5) revegf] A164051 15.2685 [-(12*x-5)/(4*x-1)/(2*x-1) ogf] A164051 15.6736 [-2*(9-40*x+48*x^2)/(12*x-5)/(2*x-1)/(-1+4*x) lgdogf] A164051 7.71813 [-(7*f(x)+46)*(8*f(x)*x^2-6*f(x)*x+f(x)+12*x-5) ogf] A164051 8.46204 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=5,a(1)=18} ogf] A164053 14.3777 [(2*x+3)/(x-1)/(2*x^2-1) ogf] A164053 15.9014 [-(-5-12*x+8*x^3+14*x^2)/(x-1)/(2*x+3)/(2*x^2-1) lgdogf] A164053 6.74354 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=3,a(1)=5,a(2)=11} ogf] A164053 6.80376 [-(267*f(x)+1706)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-2*x-3) ogf] A164055 4.56136 [(186524*f(x)-44899)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+10*x^2-f(x)-25*x+1) ogf] A164055 4.83426 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=325} ogf] A164055 8.27639 [-2*(5-25*x-25*x^3+5*x^4+264*x^2)/(x-1)/(10*x^2-25*x+1)/(x^2-34*x+1) lgdogf] A164055 8.70166 [-(10*x^2-25*x+1)/(x-1)/(x^2-34*x+1) ogf] A164068 11.7003 [(34*f(x)*x-f(x)+x+1)^3 ogf] A164068 4.71787 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(561*x^6-33*x^5-33*x^4-33*x^3-33*x^2-33*x+1) ogf] A164069 11.8112 [(35*f(x)*x-f(x)+x+1)^3 ogf] A164069 4.76260 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(595*x^6-34*x^5-34*x^4-34*x^3-34*x^2-34*x+1) ogf] A164070 10.2906 [(36*f(x)*x-f(x)+x+1)^3 ogf] A164070 4.14944 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(630*x^6-35*x^5-35*x^4-35*x^3-35*x^2-35*x+1) ogf] A164071 10.2906 [(37*f(x)*x-f(x)+x+1)^3 ogf] A164071 4.14944 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(666*x^6-36*x^5-36*x^4-36*x^3-36*x^2-36*x+1) ogf] A164072 12.7076 [-(x-1)/(14*x^2-8*x+1) ogf] A164072 13.3109 [-1/2*(-1-8*x+(1+12*x+8*x^2)^(1/2))/(1+14*x) revogf] A164072 15.4695 [-7*(1-4*x+2*x^2)/(x-1)/(14*x^2-8*x+1) lgdogf] A164072 6.64259 [(22*f(x)+27)*(14*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A164072 7.04275 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=1,a(1)=7} ogf] A164073 11.5102 [-(11*f(x)+5)*(2*f(x)*x^2-f(x)+3*x+1) ogf] A164073 12.9490 [{a(n+2)-2*a(n),a(0)=1,a(1)=3} ogf] A164073 20.2131 [-(3*x+1)/(2*x^2-1) ogf] A164073 21.9892 [1/2/(3+2*x)*(-1+(1+12*x+8*x^2)^(1/2)) revogf] A164073 25.4250 [-(3+4*x+6*x^2)/(3*x+1)/(2*x^2-1) lgdogf] A164080 11.4947 [-2*(18-35*x+x^3-16*x^2)/(x-1)/(x+1)/(x^2-34*x+1) lgdogf] A164080 4.87011 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=324} ogf] A164080 5.13819 [(4*f(x)+1)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+9*x^2-f(x)+9*x) ogf] A164080 9.49259 [-9*(x+1)*x/(x-1)/(x^2-34*x+1) ogf] A164084 10.3989 [(38*f(x)*x-f(x)+x+1)^3 ogf] A164084 4.19311 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(703*x^6-37*x^5-37*x^4-37*x^3-37*x^2-37*x+1) ogf] A164085 10.4531 [(39*f(x)*x-f(x)+x+1)^3 ogf] A164085 4.21495 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(741*x^6-38*x^5-38*x^4-38*x^3-38*x^2-38*x+1) ogf] A164090 10.0819 [-(3+2*2^(1/2))*(ln(3/2+2^(1/2))-ln(x+3/2+((x+2)*(x+1))^(1/2)))/(4+3*2^(1/2)) revegf] A164090 11.6593 [(8*f(x)-7)*(2*f(x)*x^2-f(x)+3*x+2) ogf] A164090 12.2058 [{a(n+2)-2*a(n),a(0)=2,a(1)=3} ogf] A164090 19.0530 [-(3*x+2)/(2*x^2-1) ogf] A164090 23.9444 [-(3+8*x+6*x^2)/(3*x+2)/(2*x^2-1) lgdogf] A164091 10.5614 [(40*f(x)*x-f(x)+x+1)^3 ogf] A164091 4.25863 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(780*x^6-39*x^5-39*x^4-39*x^3-39*x^2-39*x+1) ogf] A164093 12.4372 [-2*(22*x-19)/(4*x-1)/(x-1) ogf] A164093 12.4428 [-1/8*(-38-5*x+(1444+204*x+9*x^2)^(1/2))/(11+x) revogf] A164093 13.3109 [-(73-152*x+88*x^2)/(x-1)/(22*x-19)/(-1+4*x) lgdogf] A164093 6.08904 [-(213*f(x)+2564)*(4*f(x)*x^2-5*f(x)*x+f(x)+44*x-38) ogf] A164093 6.87704 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=38,a(1)=146} ogf] A164094 15.5674 [-(7*x-5)/(2*x-1)/(x-1) ogf] A164094 17.1700 [-1/2*(-5-3*x+(25+2*x+x^2)^(1/2))/(7+2*x) revogf] A164094 17.6102 [-2*(4-10*x+7*x^2)/(7*x-5)/(x-1)/(2*x-1) lgdogf] A164094 7.7837 [-(f(x)+11)*(2*f(x)*x^2-3*f(x)*x+f(x)+7*x-5) ogf] A164094 8.54310 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=5,a(1)=8} ogf] A164095 10.1195 [-1/14*14^(1/2)*7^(1/2)*(arcsinh(3/7*14^(1/2))-arcsinh(1/7*14^(1/2)*(x+3))) revegf] A164095 10.7549 [(215*f(x)-751)*(2*f(x)*x^2-f(x)+6*x+5) ogf] A164095 11.9312 [{-a(n+2)+2*a(n),a(0)=5,a(1)=6} ogf] A164095 18.6243 [-(6*x+5)/(2*x^2-1) ogf] A164095 21.3955 [-2*(3+10*x+6*x^2)/(6*x+5)/(2*x^2-1) lgdogf] A164096 14.4817 [(6*x+5)/(x-1)/(2*x^2-1) ogf] A164096 15.3670 [-(-11-20*x+24*x^3+18*x^2)/(6*x+5)/(x-1)/(2*x^2-1) lgdogf] A164096 6.73273 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=5,a(1)=11,a(2)=21} ogf] A164096 7.04157 [(1181*f(x)-6646)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-6*x-5) ogf] A164097 13.6214 [-(x^2+4*x+1)*(x^3-3*x^2-3*x-7)/(x-1)/(x+1)/(x^4-6*x^2-4*x-3) lgdogf] A164097 9.79822 [(x^4-6*x^2-4*x-3)/(x+1)^2/(x-1)^3 ogf] A164110 11.8391 [-(24*x-5)/(34*x^2-12*x+1) ogf] A164110 12.0978 [-1/4*(-5-12*x+(25+24*x+8*x^2)^(1/2))/(12+17*x) revogf] A164110 12.6477 [-4*(9-85*x+204*x^2)/(24*x-5)/(34*x^2-12*x+1) lgdogf] A164110 5.98186 [-(23*f(x)+209)*(34*f(x)*x^2-12*f(x)*x+f(x)+24*x-5) ogf] A164110 6.68561 [{a(n+2)-12*a(n+1)+34*a(n),a(0)=5,a(1)=36} ogf] A164111 10.0873 [{-a(n+2)-4*a(n),a(0)=1,a(1)=-1} ogf] A164111 15.7461 [-(x-1)/(4*x^2+1) ogf] A164111 18.0736 [-1/2*(-1+(1-4*x-16*x^2)^(1/2))/(1+4*x) revogf] A164111 22.1548 [-(-1-8*x+4*x^2)/(x-1)/(4*x^2+1) lgdogf] A164111 8.84369 [-(12*f(x)-11)*(4*f(x)*x^2+f(x)+x-1) ogf] A164112 14.0527 [(41*f(x)*x-f(x)+x+1)^3 ogf] A164112 4.25863 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(820*x^6-40*x^5-40*x^4-40*x^3-40*x^2-40*x+1) ogf] A164113 10.6156 [(42*f(x)*x-f(x)+x+1)^3 ogf] A164113 4.28047 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(861*x^6-41*x^5-41*x^4-41*x^3-41*x^2-41*x+1) ogf] A164115 11.9433 [f(x)*(f(x)*x^4+x^4+x^3+x^2-f(x)+x+1) ogf] A164115 13.1443 [-(1+2*x+x^6+2*x^5+8*x^3+3*x^4+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A164115 15.2507 [-(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A164115 29.9774 [[-x^4+x^3+1] ogf_with_Euler_transform] A164116 12.2435 [-(x-1)*(x+1)*(x^2+1)/(x^4+x^3+x^2+x+1) ogf] A164116 16.0020 [(1+2*x+x^6+2*x^5+8*x^3+3*x^4+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1) lgdogf] A164116 24.0664 [[x^4-x^3-1] ogf_with_Euler_transform] A164116 6.1692 [-(5*f(x)+6)*(f(x)*x^4+f(x)*x^3+x^4+f(x)*x^2+f(x)*x+f(x)-1) ogf] A164117 11.9433 [f(x)*(f(x)*x^4+x^4-x^3+x^2-f(x)-x+1) ogf] A164117 15.2507 [-(x^4-x^3+x^2-x+1)/(x-1)/(x+1)/(x^2+1) ogf] A164117 16.6395 [(1-2*x+x^6-2*x^5-8*x^3+3*x^4+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1) lgdogf] A164117 24.1282 [-x^9+x^4+x^3+x-1 ogf_with_Euler_transform] A164118 12.2435 [-(x-1)*(x+1)*(x^2+1)/(x^4-x^3+x^2-x+1) ogf] A164118 15.0939 [-(1-2*x+x^6-2*x^5-8*x^3+3*x^4+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1) lgdogf] A164118 19.3705 [x^9-x^4-x^3-x+1 ogf_with_Euler_transform] A164118 6.1692 [-(5*f(x)+6)*(f(x)*x^4-f(x)*x^3+x^4+f(x)*x^2-f(x)*x+f(x)-1) ogf] A164120 13.9327 [(2*x+5)/(x-1)/(2*x^2-1) ogf] A164120 15.4017 [-(-7-20*x+8*x^3+26*x^2)/(2*x+5)/(x-1)/(2*x^2-1) lgdogf] A164120 6.47746 [-(3399*f(x)+26102)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-2*x-5) ogf] A164120 6.53479 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=5,a(1)=7,a(2)=17} ogf] A164123 12.8645 [(3*x+1)/(x-1)/(3*x^2-1) ogf] A164123 16.2886 [-2*(-2-3*x+9*x^3)/(x-1)/(3*x+1)/(3*x^2-1) lgdogf] A164123 6.08767 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=4,a(2)=7} ogf] A164123 8.0394 [(38*f(x)+107)*(3*f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A164131 13.3197 [(8*x^2+15*x+8)/(x+1)/(x-1)^2 ogf] A164131 16.1988 [-(23+55*x+8*x^3+38*x^2)/(x-1)/(x+1)/(8*x^2+15*x+8) lgdogf] A164131 7.11914 [(119*f(x)-151)*(f(x)*x^3-f(x)*x^2-f(x)*x-8*x^2+f(x)-15*x-8) ogf] A164131 7.24404 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=8,a(1)=23,a(2)=39} ogf] A164135 13.3175 [(7*x^2+33*x+7)/(x+1)/(x-1)^2 ogf] A164135 16.1991 [-(40+68*x+7*x^3+73*x^2)/(x-1)/(x+1)/(7*x^2+33*x+7) lgdogf] A164135 7.11796 [(65*f(x)+6289)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-33*x-7) ogf] A164135 7.24284 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=40,a(2)=54} ogf] A164136 10.7704 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+22*x ogf] A164136 16.4689 [-22*x/(x-1)^3 ogf] A164136 57.8871 [[3] ogf_with_Euler_transform] A164136 6.70414 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=22,a(2)=66} ogf] A164136 93.3034 [-3/(x-1) lgdogf] A164142 11.4187 [-2*(-1+2*x-12*x^3+10*x^4+3*x^2)/(2*x-1)/(2*x^2-1)/(2*x^2-2*x+1) lgdogf] A164143 15.6887 [(2*x^4+2*x^3-1)/(2*x-1) ogf] A164143 18.4059 [2*(1+6*x^4-3*x^2)/(2*x-1)/(2*x^4+2*x^3-1) lgdogf] A164143 4.24722 [{(8*n^2-32)*a(n+1)+(2*n^2+18*n+16)*a(n+2)+(-3*n^2-9*n)*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A164143 9.73097 [(f(x)-1)*(-2*x^4-2*x^3+2*f(x)*x-f(x)+1) ogf] A164145 3.80176 [-4*f(x)^2*x^4+10*f(x)^2*x^3+8*f(x)*x^4-10*f(x)^2*x^2-12*f(x)*x^3-4*x^4+5*f(x)^2*x+8*f(x)*x^2+2*x^3-f(x)^2-2*f(x)*x-2*x^2+x+1 ogf] A164146 4.26017 [-4*f(x)^2*x^4+6*f(x)^2*x^3-8*f(x)*x^4+4*f(x)*x^3-4*x^4-3*f(x)^2*x+4*f(x)*x^2-2*x^3+f(x)^2-2*f(x)*x+x-1 ogf] A164156 12.4917 [-2*(-1+2*x+12*x^5+4*x^3-15*x^4)/(2*x-1)/(4*x^5-4*x^4+2*x-1) lgdogf] A164160 10.5280 [-2*(-1+2*x+14*x^6-6*x^5+4*x^3-10*x^4)/(2*x-1)/(2*x^3-1)/(2*x^3-2*x+1) lgdogf] A164161 10.1448 [2*(2*x^2+2*x+1)*(5*x^4-4*x^3+2*x^2-2*x+1)/(2*x-1)/(2*x^6+2*x^5+2*x^4-1) lgdogf] A164161 12.8819 [(2*x^6+2*x^5+2*x^4-1)/(2*x-1) ogf] A164193 12.7308 [-2*(-1+2*x+14*x^6-18*x^5+5*x^4)/(2*x-1)/(4*x^6-4*x^5+2*x-1) lgdogf] A164195 11.4471 [-2*(-1+2*x-7*x^6-12*x^5+5*x^4+16*x^7)/(2*x-1)/(4*x^7-4*x^5+2*x-1) lgdogf] A164200 10.7324 [-2*(-1+2*x+18*x^8-12*x^5+5*x^4-8*x^7)/(2*x-1)/(2*x^4-2*x+1)/(2*x^4-1) lgdogf] A164203 10.0039 [2*(1+3*x^6+14*x^8+2*x^5-5*x^4+4*x^7)/(2*x-1)/(2*x^8+2*x^7+2*x^6+2*x^5-1) lgdogf] A164203 11.2964 [(2*x^8+2*x^7+2*x^6+2*x^5-1)/(2*x-1) ogf] A164229 16.3780 [-2*(1-2*x+12*x^5-5*x^4)/(2*x-1)/(4*x^5-2*x+1) lgdogf] A164246 7.58167 [-2*(-1+2*x+14*x^6+18*x^8-18*x^5+5*x^4-8*x^7)/(2*x-1)/(2*x^4+2*x^3+2*x^2-1)/(2*x^4-2*x^3+2*x^2-2*x+1) lgdogf] A164265 13.5242 [(3*x+4)/(x-1)/(3*x^2-1) ogf] A164265 14.6416 [-(-7-24*x+18*x^3+27*x^2)/(x-1)/(3*x+4)/(3*x^2-1) lgdogf] A164265 6.34322 [-(1006*f(x)+5491)*(3*f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)-3*x-4) ogf] A164265 6.34323 [{a(n+3)-a(n+2)-3*a(n+1)+3*a(n),a(0)=4,a(1)=7,a(2)=19} ogf] A164267 12.9609 [-x/(x^2-3*x+1)/(x^2-x-1) ogf] A164267 15.3824 [-2*(x-1)*(2*x^2-4*x-1)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A164267 5.63056 [-(48*f(x)-7)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A164270 99.9999 Evaluated at exp(-Pi) 1/24*exp(1/3*Pi)/Pi*GAMMA(2/3)^2/GAMMA(11/12)*GAMMA(7/12)*(1+3^(1/2))^2 A164271 99.9999 Evaluated at exp(-Pi) 1/18*exp(2/3*Pi)*3^(1/2) A164272 6.45791 [-(2*x^7-2*x^6+5*x^5-2*x^4+4*x^3-2*x^2+3*x-2)/(-x^8-x^6+x^2+1) ogf_with_Euler_transform] A164273 5.06031 [-(2*x^9-x^7+x^6+x^5+3*x^3-x^2-x+2)/(-x^10+x^9-x^7+x^6-x^4+x^3-x+1) ogf_with_Euler_transform] A164273 99.9999 Evaluated at exp(-Pi) 1/8*2^(1/4)*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)^7*GAMMA(11/12)^2*GAMMA(7/12)^3*(1+3^(1/2)) A164277 10.6697 [(43*f(x)*x-f(x)+x+1)^3 ogf] A164277 4.30231 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(903*x^6-42*x^5-42*x^4-42*x^3-42*x^2-42*x+1) ogf] A164284 18.2633 [(7*x+8)/(x-1)^2 ogf] A164284 26.8656 [-(-4-x+(16+15*x)^(1/2))/(-7+x) revogf] A164284 35.0421 [-(23+7*x)/(7*x+8)/(x-1) lgdogf] A164284 9.33921 [(30*f(x)+289)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-8) ogf] A164284 9.90181 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=23} ogf] A164285 14.8350 [-(13*x-10)/(2*x-1)/(x-1) ogf] A164285 15.8986 [-1/2*(-10-3*x+(100+8*x+x^2)^(1/2))/(13+2*x) revogf] A164285 16.6742 [-(17-40*x+26*x^2)/(13*x-10)/(x-1)/(2*x-1) lgdogf] A164285 7.4175 [-(11*f(x)+179)*(2*f(x)*x^2-3*f(x)*x+f(x)+13*x-10) ogf] A164285 8.30055 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=10,a(1)=17} ogf] A164298 14.0540 [(6*x+1)/(2*x^2-4*x+1) ogf] A164298 15.1151 [-1/4*(-1-4*x+(1+32*x+8*x^2)^(1/2))/(-3+x) revogf] A164298 15.8902 [-2*(-5+2*x+6*x^2)/(6*x+1)/(2*x^2-4*x+1) lgdogf] A164298 7.35387 [(9*f(x)+16)*(2*f(x)*x^2-4*f(x)*x+f(x)-6*x-1) ogf] A164298 7.61966 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=10} ogf] A164299 13.5319 [(5*x+1)/(7*x^2-6*x+1) ogf] A164299 13.8737 [-1/2*(-1-6*x+(1+32*x+8*x^2)^(1/2))/(-5+7*x) revogf] A164299 14.9143 [-(-11+14*x+35*x^2)/(5*x+1)/(7*x^2-6*x+1) lgdogf] A164299 6.99926 [(52*f(x)+69)*(7*f(x)*x^2-6*f(x)*x+f(x)-5*x-1) ogf] A164299 7.33657 [{-a(n+2)+6*a(n+1)-7*a(n),a(0)=1,a(1)=11} ogf] A164300 11.8527 [(4*x+1)/(14*x^2-8*x+1) ogf] A164300 12.4009 [-1/4*(-1-8*x+(1+32*x+8*x^2)^(1/2))/(-2+7*x) revogf] A164300 13.0059 [-4*(-3+7*x+14*x^2)/(4*x+1)/(14*x^2-8*x+1) lgdogf] A164300 6.19572 [(17*f(x)+19)*(14*f(x)*x^2-8*f(x)*x+f(x)-4*x-1) ogf] A164300 6.49075 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=1,a(1)=12} ogf] A164301 12.8484 [-1/2*(-1-10*x+(1+32*x+8*x^2)^(1/2))/(-3+23*x) revogf] A164301 13.7661 [-(-13+46*x+69*x^2)/(3*x+1)/(23*x^2-10*x+1) lgdogf] A164301 15.3894 [(3*x+1)/(23*x^2-10*x+1) ogf] A164301 8.12701 [(84*f(x)+85)*(23*f(x)*x^2-10*f(x)*x+f(x)-3*x-1) ogf] A164301 8.50945 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=1,a(1)=13} ogf] A164303 15.3281 [-(5*x+3)/(x^2+2*x-1) ogf] A164303 17.3445 [1/2/(5+x)*(-3-2*x+(9+32*x+8*x^2)^(1/2)) revogf] A164303 19.3268 [-(11+6*x+5*x^2)/(5*x+3)/(x^2+2*x-1) lgdogf] A164303 7.92835 [(28*f(x)+37)*(f(x)*x^2+2*f(x)*x-f(x)+5*x+3) ogf] A164303 8.31042 [{a(n+2)-2*a(n+1)-a(n),a(0)=3,a(1)=11} ogf] A164304 14.1953 [(2*x+3)/(2*x^2-4*x+1) ogf] A164304 15.6519 [-1/4*(-3-4*x+(9+32*x+8*x^2)^(1/2))/(x-1) revogf] A164304 16.0532 [-2*(-7+6*x+2*x^2)/(2*x+3)/(2*x^2-4*x+1) lgdogf] A164304 7.3424 [(11*f(x)+16)*(2*f(x)*x^2-4*f(x)*x+f(x)-2*x-3) ogf] A164304 7.69624 [{-a(n+2)+4*a(n+1)-2*a(n),a(0)=3,a(1)=14} ogf] A164305 14.3513 [-1/2*(-3-6*x+(9+32*x+8*x^2)^(1/2))/(1+7*x) revogf] A164305 16.3846 [-(x-3)/(7*x^2-6*x+1) ogf] A164305 16.7431 [-(17-42*x+7*x^2)/(x-3)/(7*x^2-6*x+1) lgdogf] A164305 8.37851 [(60*f(x)+109)*(7*f(x)*x^2-6*f(x)*x+f(x)+x-3) ogf] A164305 8.88323 [{-a(n+2)+6*a(n+1)-7*a(n),a(0)=3,a(1)=17} ogf] A164310 13.8066 [-(9*x-4)/(6*x^2-6*x+1) ogf] A164310 14.8521 [-1/3*(-2-3*x+(4+3*x+3*x^2)^(1/2))/(3+2*x) revogf] A164310 15.2234 [-3*(5-16*x+18*x^2)/(9*x-4)/(6*x^2-6*x+1) lgdogf] A164310 6.82747 [-(14*f(x)+19)*(6*f(x)*x^2-6*f(x)*x+f(x)+9*x-4) ogf] A164310 7.48553 [{a(n+2)-6*a(n+1)+6*a(n),a(0)=4,a(1)=15} ogf] A164311 13.2311 [-(21*x-4)/(33*x^2-12*x+1) ogf] A164311 14.1616 [-3*(9-88*x+231*x^2)/(21*x-4)/(33*x^2-12*x+1) lgdogf] A164311 14.8360 [-1/3*(-2-6*x+(4+3*x+3*x^2)^(1/2))/(7+11*x) revogf] A164311 6.68521 [-(20*f(x)+163)*(33*f(x)*x^2-12*f(x)*x+f(x)+21*x-4) ogf] A164311 7.47171 [{a(n+2)-12*a(n+1)+33*a(n),a(0)=4,a(1)=27} ogf] A164315 13.4793 [(x^2+x+1)/(x-1)/(x^3+x^2-1) ogf] A164315 6.63096 [{-a(n+4)+a(n+3)+a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A164315 7.40756 [(7*f(x)-3)*(f(x)*x^4-f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A164315 9.99948 [-(9+8*x+4*x^6+4*x^5-16*x^3-5*x^4-7*x^2)/(x-1)/(4*x^3+2*x^2-3*x-6)/(x^3+x^2-1) lgdogf] A164316 15.5148 [-(2*x^2+x+1)/(x^3+x-1) ogf] A164316 15.8405 [-(7+8*x+4*x^3+4*x^4+11*x^2)/(4*x^2+2*x+5)/(x^3+x-1) lgdogf] A164316 8.74773 [{-a(n+3)+a(n+2)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A164316 8.8418 [(f(x)+1)*(f(x)*x^3+f(x)*x+2*x^2-f(x)+x+1) ogf] A164317 10.2422 [-(x^2+x+1)*(x^3+2*x^2+x+1)/(x^4+x^3-1) ogf] A164317 11.1101 [-(6+14*x+4*x^6+14*x^5+32*x^3+25*x^4+27*x^2)/(x^4+x^3-1)/(4*x^3+7*x^2+6*x+5) lgdogf] A164330 10.778 [(44*f(x)*x-f(x)+x+1)^3 ogf] A164330 4.34598 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(946*x^6-43*x^5-43*x^4-43*x^3-43*x^2-43*x+1) ogf] A164331 10.778 [(45*f(x)*x-f(x)+x+1)^3 ogf] A164331 4.34598 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(990*x^6-44*x^5-44*x^4-44*x^3-44*x^2-44*x+1) ogf] A164332 10.778 [(46*f(x)*x-f(x)+x+1)^3 ogf] A164332 4.31122 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(1035*x^6-45*x^5-45*x^4-45*x^3-45*x^2-45*x+1) ogf] A164338 5.33058 [-(55677770*x^3+12344440*x^2-55667777*x-12334444)/(x-1)/(x+1)/(10*x^2-1) ogf] A164346 12.1199 [{a(n+1)-4*a(n),a(0)=3} ogf] A164346 15.3716 [-4*f(x)*x+f(x)-3 ogf] A164346 25.2093 [-3/(4*x-1) ogf] A164346 25.7371 [-1/4*ln(3)+1/4*ln(4*x+3) revegf] A164346 56.1538 [-4/(-1+4*x) lgdogf] A164348 10.9947 [(47*f(x)*x-f(x)+x+1)^3 ogf] A164348 4.39787 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(1081*x^6-46*x^5-46*x^4-46*x^3-46*x^2-46*x+1) ogf] A164350 12.7539 [(48*f(x)*x-f(x)+x+1)^3 ogf] A164350 4.39787 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(1128*x^6-47*x^5-47*x^4-47*x^3-47*x^2-47*x+1) ogf] A164351 10.9947 [(49*f(x)*x-f(x)+x+1)^3 ogf] A164351 4.39787 [(x^2+x+1)*(x^2-x+1)*(x+1)^2/(1176*x^6-48*x^5-48*x^4-48*x^3-48*x^2-48*x+1) ogf] A164352 6.07245 [(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-2*x^5+x^4-2*x^3+x^2-2*x+1) ogf] A164353 4.92389 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(3*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x+1) ogf] A164354 4.94629 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(6*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x+1) ogf] A164355 10.7115 [-(5+2*x+5*x^6+2*x^5+12*x^3+7*x^4+7*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+1) lgdogf] A164355 22.6290 [[-x^4+2*x^3-4*x+5] ogf_with_Euler_transform] A164355 7.18764 [(x^4+x^3+x^2+x+1)*(x+1)^2/(x-1)^2/(x^2+1)^2 ogf] A164356 14.3666 [-(x+1)^3/(x-1)/(x^2+1) ogf] A164356 30.3962 [-4*(1-x+x^2)/(1+x^2)/(x-1)/(x+1) lgdogf] A164356 34.1122 [[x^3-4*x+4] ogf_with_Euler_transform] A164356 7.50980 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=6,a(3)=4} ogf] A164356 7.9943 [-(7*f(x)+38)*(f(x)*x^3-f(x)*x^2+x^3+f(x)*x+3*x^2-f(x)+3*x+1) ogf] A164357 11.4118 [(x+1)^4/(x^2+x+1)/(x^2-x+1) ogf] A164357 24.5850 [-2*(x-1)*(2*x^2+x+2)/(x+1)/(x^2+x+1)/(1-x+x^2) lgdogf] A164357 28.6671 [[x^5-5*x+4] ogf_with_Euler_transform] A164357 5.35595 [(2*f(x)+3)*(f(x)*x^4-x^4+f(x)*x^2-4*x^3-6*x^2+f(x)-4*x-1) ogf] A164358 14.3666 [-(x^2+x+1)*(x+1)/(x-1)/(x^2+1) ogf] A164358 17.3692 [-(3+2*x+2*x^3+3*x^4+2*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2+x+1) lgdogf] A164358 29.9774 [x^3-x^2-2*x+3 ogf_with_Euler_transform] A164358 7.50980 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=4,a(3)=3} ogf] A164358 7.93035 [-(34*f(x)+63)*(f(x)*x^3-f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)+2*x+1) ogf] A164359 10.3260 [{-a(n+4)+a(n+1),a(0)=1,a(1)=3,a(2)=3,a(3)=2} ogf] A164359 11.5267 [(43*f(x)-196)*(f(x)*x^3+x^3+3*x^2-f(x)+3*x+1) ogf] A164359 17.3911 [-(x+1)^3/(x-1)/(x^2+x+1) ogf] A164359 30.3962 [-3*(1+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A164359 39.5702 [x^2-3*x+3 ogf_with_Euler_transform] A164360 12.7089 [(57*f(x)-230)*(f(x)*x^3+3*x^2-f(x)+4*x+5) ogf] A164360 13.0433 [{-a(n+3)+a(n),a(0)=5,a(1)=4,a(2)=3} ogf] A164360 17.0645 [-(4+6*x+8*x^3+3*x^4+15*x^2)/(x-1)/(x^2+x+1)/(3*x^2+4*x+5) lgdogf] A164360 20.2305 [-(3*x^2+4*x+5)/(x-1)/(x^2+x+1) ogf] A164365 4.59043 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(10*x^7-4*x^6-4*x^5-4*x^4-4*x^3-4*x^2-4*x+1) ogf] A164367 2.88909 [-(8991*f(x)+93910)*(1000*f(x)*x^2-110*f(x)*x+f(x)+1100*x-101) ogf] A164369 12.3645 [(6*f(x)*x-f(x)+x+1)^3 ogf] A164369 4.52134 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(15*x^7-5*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x+1) ogf] A164370 12.2371 [(800*x^4-99*x^2+1)/(10*x-1)/(10*x^2-1) ogf] A164370 5.68434 [{a(n+5)-10*a(n+4)-10*a(n+3)+100*a(n+2),a(0)=1,a(1)=10,a(2)=11,a(3)=110,a(4)=1010} ogf] A164370 6.57518 [(2844315*f(x)-5548168)*(100*f(x)*x^3-800*x^4-10*f(x)*x^2-10*f(x)*x+99*x^2+f(x)-1) ogf] A164373 11.9218 [(7*f(x)*x-f(x)+x+1)^3 ogf] A164373 4.35946 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(21*x^7-6*x^6-6*x^5-6*x^4-6*x^3-6*x^2-6*x+1) ogf] A164375 12.5332 [(8*f(x)*x-f(x)+x+1)^3 ogf] A164375 4.58302 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(28*x^7-7*x^6-7*x^5-7*x^4-7*x^3-7*x^2-7*x+1) ogf] A164387 7.50833 [-(25+40*x+30*x^6+8*x^8+40*x^5+64*x^3+67*x^4+41*x^2+24*x^7)/(8*x^4+12*x^3+6*x^2+11*x+14)/(x^5+x^4+x^2+x-1) lgdogf] A164387 9.44362 [-(x+1)*(x^3+x^2+1)/(x^5+x^4+x^2+x-1) ogf] A164388 10.1921 [(x+1)*(x^2+1)/(x^5-x^3-x^2-x+1) ogf] A164388 7.03341 [-(25+40*x-10*x^6+8*x^8-28*x^5-2*x^3-36*x^4+35*x^2+8*x^7)/(8*x^4+4*x^3-6*x^2-11*x-14)/(x^5-x^3-x^2-x+1) lgdogf] A164389 8.72698 [-(25+40*x+8*x^6+40*x^5+84*x^3+73*x^4+88*x^2)/(8*x^3+20*x^2+11*x+14)/(x^4+2*x^3+x-1) lgdogf] A164389 9.31715 [-(x+1)*(x^2+1)^2/(x^4+2*x^3+x-1) ogf] A164390 5.73927 [-(25+38*x+41*x^6+22*x^8+8*x^9+8*x^10+54*x^5+52*x^3+51*x^4+36*x^2+20*x^7)/(8*x^5+4*x^4+10*x^3+5*x^2+11*x+14)/(x^6+x^4+x^2+x-1) lgdogf] A164390 8.43861 [-(x^5+x^4+2*x^3+x^2+x+1)/(x^6+x^4+x^2+x-1) ogf] A164391 9.60080 [(x+1)*(x^2+1)/(x-1)/(x^5+2*x^4+2*x^3+x^2-1) ogf] A164392 10.7506 [-(x^4-x^3-1)/(x-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A164392 6.83246 [-(25-12*x+14*x^6+8*x^8+14*x^3-25*x^4-18*x^2-8*x^7)/(x-1)/(x+1)/(x^3-x^2+2*x-1)/(8*x^4-4*x^3+6*x^2+3*x-14) lgdogf] A164393 20.8232 [-1/(x-1)/(x^4-x^3-x^2-x+1) ogf] A164393 6.45454 [-(25-12*x+6*x^6+8*x^8+12*x^5-32*x^3+40*x^4-24*x^2-24*x^7)/(x-1)/(x^4-x^3-x^2-x+1)/(8*x^4-12*x^3-6*x^2-3*x+14) lgdogf] A164394 11.9634 [-(x^3+x^2+1)/(x^3-x^2+2*x-1) ogf] A164394 12.2496 [-(12-6*x-4*x^3+4*x^4+15*x^2)/(x^3-x^2+2*x-1)/(4*x^2-2*x+7) lgdogf] A164394 5.89109 [{a(n+4)-2*a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A164394 6.76194 [(f(x)-1)*(f(x)*x^3-f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+1) ogf] A164395 11.6327 [(x^2+1)/(x-1)/(2*x^3+x-1) ogf] A164395 7.341 [-2*f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*f(x)*x+x^2-f(x)+1 ogf] A164395 8.73016 [-2*(6-3*x+8*x^6-8*x^5-16*x^3+6*x^4+6*x^2)/(x-1)/(2*x^3+x-1)/(8*x^3-4*x^2+2*x-7) lgdogf] A164396 10.4069 [-(x^5-x^3-1)/(x-1)/(x^5+x^2+x-1) ogf] A164396 5.63535 [-(24-14*x+3*x^6-2*x^8-8*x^9+8*x^10-36*x^5+16*x^3+13*x^4-22*x^2+16*x^7)/(x-1)/(x^5+x^2+x-1)/(8*x^5-4*x^4-2*x^3+7*x^2+4*x-14) lgdogf] A164397 21.7272 [-1/(x^2+x+1)/(x^2+x-1)/(x-1)^2 ogf] A164397 5.99195 [-2*(-12-5*x-19*x^6+8*x^8+4*x^9-15*x^5+29*x^3+9*x^4+9*x^2-5*x^7)/(x-1)/(x^2+x+1)/(x^2+x-1)/(8*x^5+4*x^4-14*x^3-7*x^2-4*x+14) lgdogf] A164398 11.4651 [-(8*x^3+5*x^2+3*x-14)/(x-1)/(x^3+x^2+x-1) ogf] A164398 6.46214 [-(378*f(x)-839)*(f(x)*x^4+8*x^3-2*f(x)*x+5*x^2+f(x)+3*x-14) ogf] A164398 8.29881 [-(25-10*x+8*x^6+10*x^5-24*x^3+9*x^4-14*x^2)/(x-1)/(x^3+x^2+x-1)/(8*x^3+5*x^2+3*x-14) lgdogf] A164399 4.86166 [-(f(x)+73)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2+16*x^3-2*f(x)*x-7*x^2+f(x)+4*x-14) ogf] A164399 7.97926 [-2*(12-7*x+16*x^6-14*x^5-32*x^3+11*x^4+13*x^2)/(x-1)/(2*x^3+x-1)/(16*x^3-7*x^2+4*x-14) lgdogf] A164399 8.86176 [-(16*x^3-7*x^2+4*x-14)/(x-1)/(2*x^3+x-1) ogf] A164400 12.3882 [(x^6+x^5-1)/(x-1)/(x^4-x^3-x^2-x+1) ogf] A164400 6.39095 [-(24-14*x+3*x^6+8*x^8+12*x^5-32*x^3+46*x^4-22*x^2-24*x^7)/(x-1)/(8*x^4-12*x^3-7*x^2-4*x+14)/(x^4-x^3-x^2-x+1) lgdogf] A164401 5.99403 [-(25-10*x+5*x^6+6*x^8+8*x^9+8*x^10+28*x^5+2*x^3+27*x^4+33*x^2+20*x^7)/(8*x^5+4*x^4+2*x^3+9*x^2-3*x+14)/(x^6+x^3-x^2+2*x-1) lgdogf] A164401 9.86574 [-(x+1)*(x^2+1)*(x^2-x+1)/(x^6+x^3-x^2+2*x-1) ogf] A164402 13.3282 [-(2*x^3+1)/(2*x^4-2*x^3+2*x-1) ogf] A164402 6.8442 [-(f(x)-1)*(2*f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-f(x)+1) ogf] A164402 8.55738 [-2*(6-4*x+8*x^6-8*x^5+16*x^3-2*x^4-5*x^2)/(2*x^4-2*x^3+2*x-1)/(8*x^3-4*x^2-2*x+7) lgdogf] A164403 7.24655 [-(25-10*x-7*x^6+8*x^8-12*x^5+22*x^3+27*x^4-20*x^2+8*x^7)/(x^5-x^3+2*x-1)/(8*x^4+4*x^3-5*x^2-3*x+14) lgdogf] A164403 9.37527 [-(8*x^4+4*x^3-5*x^2-3*x+14)/(x^5-x^3+2*x-1) ogf] A164404 10.0067 [-(16*x^3-7*x^2-4*x+14)/(2*x^4-2*x^3+2*x-1) ogf] A164404 5.82357 [(4*f(x)-77)*(2*f(x)*x^4-2*f(x)*x^3+16*x^3+2*f(x)*x-7*x^2-f(x)-4*x+14) ogf] A164404 8.00705 [-2*(12-7*x+16*x^6-14*x^5+32*x^3-5*x^4-11*x^2)/(2*x^4-2*x^3+2*x-1)/(16*x^3-7*x^2-4*x+14) lgdogf] A164405 13.4539 [-(x+1)*(x^2-x+1)/(x^6-x^3+2*x-1) ogf] A164405 5.83400 [-(24-14*x-16*x^6+6*x^8+8*x^9+8*x^10+20*x^5+16*x^3+23*x^4-22*x^2-12*x^7)/(x^6-x^3+2*x-1)/(8*x^5+4*x^4+2*x^3-7*x^2-4*x+14) lgdogf] A164406 11.1914 [(x^2+1)/(x^3+x-1)^2 ogf] A164406 7.57792 [-2*(-12-5*x+4*x^6+15*x^5+9*x^3+2*x^4-15*x^2+4*x^7)/(x^3+x-1)/(8*x^5+4*x^4+18*x^3-7*x^2+4*x-14) lgdogf] A164407 10.2020 [-(8*x^3+4*x^2+10*x+13)/(x+1)/(x^3-x^2+2*x-1) ogf] A164407 5.84144 [(23*f(x)+108)*(f(x)*x^4+f(x)*x^2+8*x^3+f(x)*x+4*x^2-f(x)+10*x+13) ogf] A164407 8.16640 [-(23+34*x+8*x^6+8*x^5+36*x^3+22*x^4+30*x^2)/(x+1)/(x^3-x^2+2*x-1)/(8*x^3+4*x^2+10*x+13) lgdogf] A164408 5.00335 [(48*f(x)+347)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+8*x^3-f(x)*x-4*x^2+f(x)-10*x-13) ogf] A164408 8.39294 [-(23+34*x+8*x^6-8*x^5-16*x^3-18*x^4+21*x^2)/(8*x^3-4*x^2-10*x-13)/(x^4-x^3-x^2-x+1) lgdogf] A164408 8.99338 [-(8*x^3-4*x^2-10*x-13)/(x^4-x^3-x^2-x+1) ogf] A164409 11.6270 [-(8*x^2-4*x+13)/(x^3-x^2+2*x-1) ogf] A164409 11.7835 [-(22-10*x-8*x^3+8*x^4+27*x^2)/(x^3-x^2+2*x-1)/(8*x^2-4*x+13) lgdogf] A164409 5.95763 [-(772*f(x)-6955)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+8*x^2-f(x)-4*x+13) ogf] A164409 6.26847 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=13,a(1)=22,a(2)=39} ogf] A164410 11.1926 [-2*(11+16*x+18*x^3+16*x^4+31*x^2)/(16*x^2+9*x+13)/(2*x^3+x-1) lgdogf] A164410 12.6657 [-(16*x^2+9*x+13)/(2*x^3+x-1) ogf] A164410 7.1083 [(11*f(x)-827)*(2*f(x)*x^3+f(x)*x+16*x^2-f(x)+9*x+13) ogf] A164410 7.18159 [{-a(n+3)+a(n+2)+2*a(n),a(0)=13,a(1)=22,a(2)=38} ogf] A164411 7.07440 [-(22+30*x+6*x^6+8*x^8+20*x^5+24*x^3+37*x^4+19*x^2+8*x^7)/(8*x^4+4*x^3+2*x^2+9*x+13)/(x^5+x^2+x-1) lgdogf] A164411 9.77323 [-(x+1)*(x^3+x^2+1)/(x^5+x^2+x-1) ogf] A164412 6.51747 [-2*(11+15*x+7*x^6+4*x^8-12*x^5-21*x^3-27*x^4+5*x^2+12*x^7)/(x-1)/(x^2+x+1)/(x^2+x-1)/(8*x^4+12*x^3-2*x^2-9*x-13) lgdogf] A164412 7.83223 [-(8*x^4+12*x^3-2*x^2-9*x-13)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A164413 17.7178 [-2*(11+14*x+4*x^2)/(x^2+x-1)/(x^2+9*x+13) lgdogf] A164413 9.32935 [-(x^2+1)*(x^2-x+1)*(x+1)^2/(x^2+x-1) ogf] A164414 11.5720 [-(22+30*x+36*x^3+30*x^4+63*x^2)/(2*x^3+x-1)/(15*x^2+9*x+13) lgdogf] A164414 12.6657 [-(15*x^2+9*x+13)/(2*x^3+x-1) ogf] A164414 7.18159 [{a(n+3)-a(n+2)-2*a(n),a(0)=13,a(1)=22,a(2)=37} ogf] A164415 8.45302 [-(22+32*x+8*x^6-6*x^5-18*x^3-16*x^4+21*x^2)/(8*x^3-3*x^2-9*x-13)/(x^4-x^3-x^2-x+1) lgdogf] A164415 8.61961 [-(x+1)*(x^5-x^2-1)/(x^4-x^3-x^2-x+1) ogf] A164416 5.98359 [-(23+80*x+105*x^6+8*x^8+184*x^5+228*x^3+237*x^4+161*x^2+40*x^7)/(x^5+2*x^4+2*x^3+x^2-1)/(8*x^4+20*x^3+27*x^2+23*x+13) lgdogf] A164416 7.67680 [-(8*x^4+20*x^3+27*x^2+23*x+13)/(x^5+2*x^4+2*x^3+x^2-1) ogf] A164417 7.55312 [-(x+1)*(x^5+x^4-x^3-x^2-1)/(x^7+x^6-x^5-x^4-x^2-x+1) ogf] A164418 5.85198 [-(8*x^6+12*x^5+14*x^4+15*x^3+16*x^2+9*x+13)/(x^2-x+1)/(x^5+2*x^4+2*x^3+x^2-1) ogf] A164419 5.32423 [-(21+24*x+39*x^6+46*x^8+24*x^9+8*x^10+52*x^5+56*x^3+80*x^4+12*x^2+40*x^7)/(x^6+x^5+x^4-x^3+x^2+x-1)/(8*x^5+12*x^4+14*x^3-x^2+8*x+13) lgdogf] A164419 7.44205 [-(x^5+2*x^4+3*x^3+x^2+x+1)/(x^6+x^5+x^4-x^3+x^2+x-1) ogf] A164420 10.7792 [(x+1)*(x^3+x^2+1)/(x-1)/(x^5+x^4+x^3+x^2-1) ogf] A164420 5.75628 [-(21+24*x-16*x^6+6*x^8+8*x^9+8*x^10-38*x^5-12*x^3-26*x^4+3*x^2+4*x^7)/(x-1)/(8*x^5+4*x^4+2*x^3+x^2-8*x-13)/(x^5+x^4+x^3+x^2-1) lgdogf] A164421 7.00221 [-(22+32*x+9*x^6+8*x^8+20*x^5+22*x^3+36*x^4+21*x^2+10*x^7)/(8*x^4+5*x^3+3*x^2+9*x+13)/(x^5+x^2+x-1) lgdogf] A164421 8.97537 [-(8*x^4+5*x^3+3*x^2+9*x+13)/(x^5+x^2+x-1) ogf] A164422 6.82652 [-(21+28*x+46*x^6+8*x^8+60*x^5+76*x^3+79*x^4+61*x^2+24*x^7)/(8*x^4+12*x^3+14*x^2+8*x+13)/(x^5+x^4+x^3+x-1) lgdogf] A164422 8.30422 [-(8*x^4+12*x^3+14*x^2+8*x+13)/(x^5+x^4+x^3+x-1) ogf] A164423 6.76324 [-(8*x^6+12*x^5+6*x^4+3*x^3+x^2+8*x+13)/(x^7+x^6+x^2+x-1) ogf] A164424 5.98217 [-(21-18*x+7*x^6-10*x^8+8*x^9+8*x^10-14*x^5+12*x^3-25*x^4+15*x^2-16*x^7)/(x-1)/(x^5+x^4+x-1)/(8*x^5+4*x^4-6*x^3-4*x^2+5*x-13) lgdogf] A164424 8.04386 [-(8*x^5+4*x^4-6*x^3-4*x^2+5*x-13)/(x-1)/(x^5+x^4+x-1) ogf] A164425 6.85982 [-(22+30*x+49*x^6+8*x^8+66*x^5+78*x^3+83*x^4+60*x^2+24*x^7)/(8*x^4+12*x^3+15*x^2+9*x+13)/(x^5+x^4+x^3+x-1) lgdogf] A164425 8.34394 [-(8*x^4+12*x^3+15*x^2+9*x+13)/(x^5+x^4+x^3+x-1) ogf] A164426 6.56450 [-(8*x^6+12*x^5+14*x^4+7*x^3-13*x^2-8*x-13)/(x^3+x-1)/(x^4+x^3-1) ogf] A164427 7.09688 [-(22+30*x-2*x^6+8*x^8-16*x^5+12*x^3-18*x^4+19*x^2-8*x^7)/(x^5-x^4-x^2-x+1)/(8*x^4-4*x^3-2*x^2-9*x-13) lgdogf] A164427 8.49734 [-(8*x^4-4*x^3-2*x^2-9*x-13)/(x^5-x^4-x^2-x+1) ogf] A164428 7.09688 [-(22+30*x-3*x^6+8*x^8-16*x^5+14*x^3-17*x^4+16*x^2-6*x^7)/(x^5-x^4-x^2-x+1)/(8*x^4-3*x^3-2*x^2-9*x-13) lgdogf] A164428 9.21847 [-(x+1)*(x^2+1)*(x^4-x^3-1)/(x^5-x^4-x^2-x+1) ogf] A164429 10.2696 [(x+1)*(x^2+1)*(x^2-x+1)/(x-1)/(x^3+x-1) ogf] A164429 9.09318 [-(21-18*x+8*x^6-8*x^5-30*x^3+11*x^4+12*x^2)/(x-1)/(x^3+x-1)/(8*x^3-4*x^2+5*x-13) lgdogf] A164430 5.83399 [-(8*x^6+12*x^5+14*x^4+8*x^3-2*x^2-8*x-13)/(x^7+x^6+x^5-x^3-x^2-x+1) ogf] A164431 5.57657 [-(21-16*x+x^6-10*x^8+8*x^9+8*x^10+12*x^5-22*x^3+30*x^4+16*x^2+4*x^7)/(x^2+x-1)/(x^4-x^3+x^2-x+1)/(8*x^5+4*x^4-6*x^3+5*x^2-5*x+13) lgdogf] A164431 7.19101 [-(8*x^5+4*x^4-6*x^3+5*x^2-5*x+13)/(x^2+x-1)/(x^4-x^3+x^2-x+1) ogf] A164432 5.62239 [-(21+26*x+46*x^6+22*x^8+8*x^9+8*x^10+72*x^5+64*x^3+65*x^4+56*x^2+36*x^7)/(8*x^5+4*x^4+10*x^3+13*x^2+8*x+13)/(x^6+x^4+x^3+x-1) lgdogf] A164432 7.46651 [-(8*x^5+4*x^4+10*x^3+13*x^2+8*x+13)/(x^6+x^4+x^3+x-1) ogf] A164433 5.54850 [-(21+26*x-55*x^6+30*x^8+24*x^9+8*x^10-78*x^5-4*x^3-43*x^4+47*x^2-8*x^7)/(x-1)/(8*x^5+12*x^4+6*x^3-13*x^2-8*x-13)/(x^5+2*x^4+2*x^3-1) lgdogf] A164433 7.77733 [-(8*x^5+12*x^4+6*x^3-13*x^2-8*x-13)/(x-1)/(x^5+2*x^4+2*x^3-1) ogf] A164434 6.34874 [-(8*x^6+12*x^5+7*x^4-4*x^3-17*x^2-10*x-13)/(x^7+x^6-x^4-2*x^3-x+1) ogf] A164435 6.46700 [-(8*x^6+12*x^5+7*x^4+12*x^3+15*x^2+9*x+13)/(x^7+x^6+x^4+x^3+x-1) ogf] A164436 5.54850 [-(21+24*x-50*x^6+34*x^8+26*x^9+8*x^10-78*x^5-6*x^3-42*x^4+45*x^2-2*x^7)/(x-1)/(x^5+2*x^4+2*x^3-1)/(8*x^5+13*x^4+7*x^3-12*x^2-8*x-13) lgdogf] A164436 7.77733 [-(8*x^5+13*x^4+7*x^3-12*x^2-8*x-13)/(x-1)/(x^5+2*x^4+2*x^3-1) ogf] A164437 7.16442 [-(8*x^5+21*x^4+36*x^3+37*x^2+22*x+13)/(x^6+2*x^5+3*x^4+2*x^3-1) ogf] A164438 6.99476 [-(21+22*x+6*x^6+8*x^8-16*x^5-24*x^3-37*x^4-2*x^2+8*x^7)/(x-1)/(x+1)/(x^3+x-1)/(8*x^4+4*x^3+2*x^2-8*x-13) lgdogf] A164438 9.51012 [-(8*x^4+4*x^3+2*x^2-8*x-13)/(x-1)/(x+1)/(x^3+x-1) ogf] A164439 5.73034 [-(21+26*x+41*x^6+29*x^8-6*x^9+8*x^10+20*x^5+48*x^3+18*x^4+11*x^2-12*x^7)/(x^6-x^5+2*x^4-x^3+x^2+x-1)/(8*x^5-3*x^4+14*x^3+8*x+13) lgdogf] A164439 7.25814 [-(8*x^5-3*x^4+14*x^3+8*x+13)/(x^6-x^5+2*x^4-x^3+x^2+x-1) ogf] A164440 6.63689 [-(22-14*x+13*x^6+8*x^8-12*x^5-16*x^3+32*x^4+22*x^2-6*x^7)/(x^5-x^4+x^3-x^2+2*x-1)/(8*x^4-3*x^3+6*x^2-4*x+13) lgdogf] A164440 7.77416 [-(8*x^4-3*x^3+6*x^2-4*x+13)/(x^5-x^4+x^3-x^2+2*x-1) ogf] A164441 6.26004 [-(x+1)*(x^2+1)*(x^5+x^4+2*x^3+x^2+x+1)/(x^6+x^5+2*x^4+x^3+x^2-1) ogf] A164442 5.96476 [-(21+24*x-16*x^6+9*x^8+10*x^9+8*x^10-36*x^5-14*x^3-22*x^4+4*x^7)/(x-1)/(x^5+x^4+x^3+x^2-1)/(8*x^5+5*x^4+3*x^3+x^2-8*x-13) lgdogf] A164442 8.55764 [-(8*x^5+5*x^4+3*x^3+x^2-8*x-13)/(x-1)/(x^5+x^4+x^3+x^2-1) ogf] A164443 6.89783 [-(8*x^5+13*x^4+8*x^3-2*x^2-9*x-13)/(x-1)/(x^5+2*x^4+2*x^3+x^2-1) ogf] A164444 5.35004 [(113*f(x)-423)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+8*x^3+f(x)*x-2*x^2-f(x)+8*x+13) ogf] A164444 9.20213 [-(21+22*x+8*x^6-4*x^5+20*x^3+18*x^4-5*x^2)/(8*x^3-2*x^2+8*x+13)/(x^4-x^3+x^2+x-1) lgdogf] A164444 9.73982 [-(8*x^3-2*x^2+8*x+13)/(x^4-x^3+x^2+x-1) ogf] A164445 5.65313 [-(22+32*x-15*x^6-10*x^8+8*x^9+8*x^10-32*x^5+24*x^3-7*x^4+24*x^2-12*x^7)/(8*x^5+4*x^4-6*x^3-3*x^2-9*x-13)/(x^6-x^4-x^2-x+1) lgdogf] A164445 7.48452 [-(8*x^5+4*x^4-6*x^3-3*x^2-9*x-13)/(x^6-x^4-x^2-x+1) ogf] A164446 6.10408 [-(8*x^6-4*x^5+6*x^4+3*x^3-6*x^2+4*x-13)/(x-1)/(x^6+x^4+x^3+x-1) ogf] A164447 7.75799 [-(8*x^5+4*x^4-14*x^3+9*x^2+5*x-13)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A164448 6.49513 [-(-21-3*x-18*x^6+8*x^9-20*x^5+22*x^3+14*x^4+24*x^2-2*x^7)/(x-1)/(x+1)/(x^3+x-1)/(8*x^5-4*x^4-2*x^3-9*x^2-5*x+13) lgdogf] A164448 7.89137 [-(8*x^5-4*x^4-2*x^3-9*x^2-5*x+13)/(x+1)/(x^3+x-1)/(x-1)^2 ogf] A164449 6.85311 [-(21-16*x-7*x^6+8*x^8+4*x^5-26*x^3-16*x^4+22*x^2+8*x^7)/(x-1)/(x^2+1)/(x^2+x-1)/(8*x^4+4*x^3-5*x^2+5*x-13) lgdogf] A164449 8.61088 [-(8*x^4+4*x^3-5*x^2+5*x-13)/(x-1)/(x^2+1)/(x^2+x-1) ogf] A164450 6.46427 [-(21-18*x+33*x^6+8*x^8-16*x^5+48*x^3-29*x^4-27*x^2-22*x^7)/(x-1)/(8*x^4-11*x^3+9*x^2+5*x-13)/(x^4-x^3+x^2+x-1) lgdogf] A164450 8.33668 [-(8*x^4-11*x^3+9*x^2+5*x-13)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A164451 7.06158 [-(8*x^6-4*x^5-2*x^4-x^3+8*x^2+5*x-13)/(x-1)/(x+1)/(x^5-x^4+x^3-x^2+2*x-1) ogf] A164452 6.19460 [-(-21+41*x+14*x^6-16*x^8+8*x^9-38*x^5+10*x^3+32*x^4-34*x^2+6*x^7)/(x-1)/(x^4+x-1)/(8*x^5-12*x^4+2*x^3+8*x^2-18*x+13) lgdogf] A164452 6.54479 [-(8*x^5-12*x^4+2*x^3+8*x^2-18*x+13)/(x^4+x-1)/(x-1)^2 ogf] A164453 6.60452 [-(21-14*x+14*x^6+8*x^8-16*x^5-14*x^3+34*x^4+20*x^2-8*x^7)/(8*x^4-4*x^3+6*x^2-5*x+13)/(x^5-x^4+x^3-x^2+2*x-1) lgdogf] A164453 7.73696 [-(8*x^4-4*x^3+6*x^2-5*x+13)/(x^5-x^4+x^3-x^2+2*x-1) ogf] A164454 5.51102 [-(-21-5*x-44*x^6-34*x^8+14*x^9+8*x^11+46*x^5+53*x^3+10*x^4-15*x^2)/(x-1)/(x^2+x+1)/(8*x^6-4*x^5+6*x^4-21*x^3+5*x^2-5*x+13)/(x^3+x-1) lgdogf] A164454 5.84086 [-(8*x^6-4*x^5+6*x^4-21*x^3+5*x^2-5*x+13)/(x^2+x+1)/(x^3+x-1)/(x-1)^2 ogf] A164455 7.07584 [-2*(-11-3*x-16*x^6-16*x^5+27*x^3-8*x^4+13*x^2+16*x^7)/(x-1)/(2*x^3+x^2-1)/(16*x^4-16*x^3-8*x^2-4*x+13) lgdogf] A164455 9.19946 [-(16*x^4-16*x^3-8*x^2-4*x+13)/(2*x^3+x^2-1)/(x-1)^2 ogf] A164456 6.44563 [-(22-14*x+x^6+8*x^8+12*x^5-28*x^3+41*x^4-19*x^2-22*x^7)/(x-1)/(x^4-x^3-x^2-x+1)/(8*x^4-11*x^3-7*x^2-4*x+13) lgdogf] A164456 8.90563 [-(8*x^4-11*x^3-7*x^2-4*x+13)/(x-1)/(x^4-x^3-x^2-x+1) ogf] A164457 6.81442 [-(21-18*x+53*x^6+8*x^8-28*x^5-68*x^3+51*x^4+18*x^2-38*x^7)/(x-1)/(x^4-2*x^3-x+1)/(8*x^4-19*x^3+4*x^2-5*x+13) lgdogf] A164457 9.01483 [-(x^7-2*x^6+x^2+1)/(x-1)/(x^4-2*x^3-x+1) ogf] A164458 8.88685 [-(-21-x-18*x^5+24*x^3-18*x^4+30*x^2+8*x^7)/(x-1)/(x^3+x^2-1)/(8*x^4-4*x^3-10*x^2-5*x+13) lgdogf] A164458 9.15860 [-(8*x^4-4*x^3-10*x^2-5*x+13)/(x^3+x^2-1)/(x-1)^2 ogf] A164459 6.45752 [-(8*x^6-4*x^5+6*x^4-12*x^3-7*x^2-5*x+13)/(x^5+x^4+2*x^3+x^2-1)/(x-1)^2 ogf] A164460 6.38408 [-(8*x^6-4*x^5-10*x^4+3*x^3+9*x^2+5*x-13)/(x-1)/(x^6-x^4+x^2+x-1) ogf] A164461 5.21955 [(11*f(x)-71)*(2*f(x)*x^4-f(x)*x^3-f(x)*x^2+16*x^3-f(x)*x+x^2+f(x)-8*x-13) ogf] A164461 9.31591 [-(16*x^3+x^2-8*x-13)/(x-1)/(2*x^3+x^2-1) ogf] A164461 9.37320 [-(21+24*x+32*x^6+4*x^5-56*x^3-33*x^4)/(x-1)/(2*x^3+x^2-1)/(16*x^3+x^2-8*x-13) lgdogf] A164462 6.75611 [-(20-14*x-10*x^6+8*x^8+8*x^5-28*x^3-15*x^4+21*x^2+8*x^7)/(x-1)/(x^2+1)/(8*x^4+4*x^3-6*x^2+6*x-13)/(x^2+x-1) lgdogf] A164462 8.56987 [-(8*x^4+4*x^3-6*x^2+6*x-13)/(x-1)/(x^2+1)/(x^2+x-1) ogf] A164463 10.4783 [-(8*x^3+4*x^2-6*x+13)/(x^2-x+1)/(x^2+x-1) ogf] A164463 5.96328 [(95*f(x)-331)*(f(x)*x^4-f(x)*x^2+8*x^3+2*f(x)*x+4*x^2-f(x)-6*x+13) ogf] A164463 8.56402 [-2*(10-9*x+4*x^6+4*x^5+10*x^3-5*x^4+11*x^2)/(x^2-x+1)/(x^2+x-1)/(8*x^3+4*x^2-6*x+13) lgdogf] A164464 5.33661 [(9*f(x)-14)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+8*x^3-2*f(x)*x-4*x^2+f(x)+6*x-13) ogf] A164464 9.09318 [-(20-18*x+8*x^6-8*x^5-32*x^3+14*x^4+13*x^2)/(x-1)/(8*x^3-4*x^2+6*x-13)/(x^3+x-1) lgdogf] A164464 9.51012 [-(8*x^3-4*x^2+6*x-13)/(x-1)/(x^3+x-1) ogf] A164465 6.07445 [-(8*x^6-4*x^5+5*x^4+3*x^3-6*x^2+5*x-13)/(x-1)/(x^6+x^4+x^3+x-1) ogf] A164466 7.53501 [-(20-20*x-5*x^6+8*x^8+14*x^5+4*x^3-31*x^4+12*x^2-8*x^7)/(x-1)/(8*x^4-4*x^3-3*x^2+6*x-13)/(x^4+x-1) lgdogf] A164466 9.02920 [(x+1)*(x^2-x+1)*(x^3+x^2+1)/(x-1)/(x^4+x-1) ogf] A164467 6.46427 [-(20-18*x+35*x^6+8*x^8-12*x^5+48*x^3-35*x^4-24*x^2-24*x^7)/(x-1)/(8*x^4-12*x^3+9*x^2+6*x-13)/(x^4-x^3+x^2+x-1) lgdogf] A164467 8.33668 [-(8*x^4-12*x^3+9*x^2+6*x-13)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A164468 5.22961 [-(41*f(x)-108)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+8*x^3-2*f(x)*x-3*x^2+f(x)+6*x-13) ogf] A164468 9.29812 [-(20-20*x+8*x^6-6*x^5-32*x^3+13*x^4+15*x^2)/(x-1)/(8*x^3-3*x^2+6*x-13)/(x^3+x-1) lgdogf] A164468 9.72171 [-(8*x^3-3*x^2+6*x-13)/(x-1)/(x^3+x-1) ogf] A164469 5.94455 [-(20-16*x+23*x^6+14*x^8-8*x^9+8*x^10-40*x^5-24*x^3+18*x^4+17*x^2-16*x^7)/(x-1)/(8*x^5-4*x^4+6*x^3-5*x^2+6*x-13)/(x^5+x^3+x-1) lgdogf] A164469 6.88445 [-(8*x^5-4*x^4+6*x^3-5*x^2+6*x-13)/(x-1)/(x^5+x^3+x-1) ogf] A164470 6.17251 [-2*(-10-2*x-19*x^6+8*x^8+4*x^9+7*x^5+32*x^3+3*x^4-6*x^2-13*x^7)/(x-1)/(x^4+2*x^3-1)/(8*x^5+4*x^4-22*x^3+5*x^2-6*x+13) lgdogf] A164470 7.15173 [-(8*x^5+4*x^4-22*x^3+5*x^2-6*x+13)/(x^4+2*x^3-1)/(x-1)^2 ogf] A164471 5.00527 [-(26*f(x)-369)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2+16*x^3-2*f(x)*x-6*x^2+f(x)+5*x-13) ogf] A164471 8.43276 [-(21-14*x+32*x^6-24*x^5-60*x^3+26*x^4+23*x^2)/(x-1)/(2*x^3+x-1)/(16*x^3-6*x^2+5*x-13) lgdogf] A164471 9.25027 [-(16*x^3-6*x^2+5*x-13)/(x-1)/(2*x^3+x-1) ogf] A164472 5.88579 [-(22+30*x-37*x^6+6*x^8+8*x^9+8*x^10-46*x^5+24*x^3+2*x^4+57*x^2-28*x^7)/(x^6-2*x^3-x+1)/(8*x^5+4*x^4+2*x^3-15*x^2-9*x-13) lgdogf] A164472 8.27909 [-(8*x^5+4*x^4+2*x^3-15*x^2-9*x-13)/(x^6-2*x^3-x+1) ogf] A164473 6.26706 [-(8*x^6-4*x^5-2*x^4+7*x^3-5*x^2+5*x-13)/(x-1)/(x^6+x^3+x-1) ogf] A164474 6.74858 [-(20-18*x+56*x^6+8*x^8-32*x^5-68*x^3+59*x^4+16*x^2-40*x^7)/(x-1)/(x^4-2*x^3-x+1)/(8*x^4-20*x^3+4*x^2-6*x+13) lgdogf] A164474 7.82177 [-(8*x^4-20*x^3+4*x^2-6*x+13)/(x-1)/(x^4-2*x^3-x+1) ogf] A164475 7.06928 [-2*(10+10*x-x^6+4*x^8-24*x^5-16*x^3-21*x^4+16*x^2+12*x^7)/(x-1)/(x^4+2*x^3-1)/(8*x^4+12*x^3-10*x^2-7*x-13) lgdogf] A164475 8.68061 [-(8*x^4+12*x^3-10*x^2-7*x-13)/(x-1)/(x^4+2*x^3-1) ogf] A164476 11.4562 [(x^5-x^3-1)/(x^3+x^2-1)/(x-1)^2 ogf] A164476 8.96484 [-(-20-18*x^5+23*x^3-22*x^4+31*x^2+8*x^7)/(x-1)/(x^3+x^2-1)/(8*x^4-4*x^3-10*x^2-6*x+13) lgdogf] A164477 5.57900 [-(21-14*x+7*x^6-3*x^8-6*x^9+8*x^10-34*x^5+14*x^3+14*x^4-19*x^2+16*x^7)/(x-1)/(x^5+x^2+x-1)/(8*x^5-3*x^4-2*x^3+7*x^2+5*x-13) lgdogf] A164477 7.44765 [-(8*x^5-3*x^4-2*x^3+7*x^2+5*x-13)/(x-1)/(x^5+x^2+x-1) ogf] A164478 5.91610 [-(20-18*x+20*x^6+14*x^8-8*x^9+8*x^10-38*x^5-24*x^3+17*x^4+19*x^2-12*x^7)/(x-1)/(x^5+x^3+x-1)/(8*x^5-4*x^4+6*x^3-4*x^2+6*x-13) lgdogf] A164478 6.85213 [-(8*x^5-4*x^4+6*x^3-4*x^2+6*x-13)/(x-1)/(x^5+x^3+x-1) ogf] A164479 5.72189 [-(21-16*x-11*x^6+17*x^8-22*x^9+8*x^10-38*x^5+6*x^3+47*x^4-26*x^2+12*x^7)/(x-1)/(8*x^5-11*x^4+x^3+8*x^2+5*x-13)/(x^5-x^4+x^2+x-1) lgdogf] A164479 7.24878 [-(8*x^5-11*x^4+x^3+8*x^2+5*x-13)/(x-1)/(x^5-x^4+x^2+x-1) ogf] A164480 10.4769 [(-21+16*x+x^6-6*x^3-14*x^4+23*x^2)/(x-1)/(x^2+x-1)/(x^4+8*x^2+5*x-13) lgdogf] A164480 10.8131 [-(x^8+x^5+x^4-x^3-1)/(x-1)/(x^2+x-1) ogf] A164481 5.67754 [-(21-16*x-9*x^6+22*x^8-24*x^9+8*x^10-38*x^5+14*x^3+41*x^4-29*x^2+8*x^7)/(x-1)/(x^5-x^4+x^2+x-1)/(8*x^5-12*x^4+2*x^3+8*x^2+5*x-13) lgdogf] A164481 7.24878 [-(8*x^5-12*x^4+2*x^3+8*x^2+5*x-13)/(x-1)/(x^5-x^4+x^2+x-1) ogf] A164482 11.1193 [-(8*x^3+4*x^2-7*x-13)/(x-1)/(x^3+x^2-1) ogf] A164482 9.31217 [-(20+18*x+8*x^6+8*x^5-36*x^3-13*x^4-13*x^2)/(x-1)/(x^3+x^2-1)/(8*x^3+4*x^2-7*x-13) lgdogf] A164483 6.66355 [-2*(-10-22*x^6+9*x^8+4*x^9+3*x^5+30*x^3+6*x^4-6*x^2-12*x^7)/(x-1)/(x^4+2*x^3-1)/(8*x^5+5*x^4-22*x^3+3*x^2-6*x+13) lgdogf] A164483 7.45176 [-(8*x^5+5*x^4-22*x^3+3*x^2-6*x+13)/(x^4+2*x^3-1)/(x-1)^2 ogf] A164484 7.04030 [-2*(-10-x-11*x^6-17*x^5+27*x^3-14*x^4+11*x^2+17*x^7)/(x-1)/(2*x^3+x^2-1)/(17*x^4-14*x^3-9*x^2-6*x+13) lgdogf] A164484 9.06614 [-(17*x^4-14*x^3-9*x^2-6*x+13)/(2*x^3+x^2-1)/(x-1)^2 ogf] A164485 11.7931 [-(21-18*x+10*x^3+9*x^4-21*x^2)/(x-1)/(9*x^2+5*x-13)/(x^2+x-1) lgdogf] A164485 13.5830 [-(9*x^2+5*x-13)/(x-1)/(x^2+x-1) ogf] A164485 7.33483 [-(f(x)+131)*(f(x)*x^3-2*f(x)*x+9*x^2+f(x)+5*x-13) ogf] A164485 7.56168 [{-a(n+3)+2*a(n+2)-a(n),a(0)=13,a(1)=21,a(2)=33} ogf] A164486 13.2933 [-2*(10+8*x-4*x^3+4*x^4-9*x^2)/(x-1)/(x+1)/(8*x^3-12*x^2-6*x+13) lgdogf] A164486 3.10328 [-f(x)*x^4+2*f(x)*x^3-2*x^3-2*f(x)*x+f(x)-1 ogf] A164486 4.62768 [-(2*x^3+1)/(x+1)/(x-1)^3 ogf] A164487 7.66855 [-(-20+40*x-16*x^6+19*x^5+44*x^3-45*x^4-32*x^2+8*x^7)/(x-1)/(x^3+x-1)/(8*x^4-12*x^3+9*x^2-19*x+13) lgdogf] A164487 8.70492 [(x^6+x^4-x^2+x-1)/(x^3+x-1)/(x-1)^2 ogf] A164488 6.26706 [-(8*x^6-4*x^5-2*x^4+6*x^3-4*x^2+5*x-13)/(x-1)/(x^6+x^3+x-1) ogf] A164489 6.27116 [-(8*x^6-4*x^5-11*x^4+2*x^3+10*x^2+6*x-13)/(x-1)/(x^6-x^4+x^2+x-1) ogf] A164490 6.40604 [-(21-20*x+38*x^6+8*x^8-20*x^5+44*x^3-27*x^4-22*x^2-24*x^7)/(x-1)/(8*x^4-12*x^3+10*x^2+5*x-13)/(x^4-x^3+x^2+x-1) lgdogf] A164490 8.24194 [-(8*x^4-12*x^3+10*x^2+5*x-13)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A164491 5.58369 [-(23+34*x+38*x^6+33*x^8+24*x^9+8*x^10+62*x^5+34*x^3+62*x^4+27*x^2+30*x^7)/(x^6+x^5+x^2+x-1)/(8*x^5+12*x^4+7*x^3+4*x^2+10*x+13) lgdogf] A164491 7.47300 [-(8*x^5+12*x^4+7*x^3+4*x^2+10*x+13)/(x^6+x^5+x^2+x-1) ogf] A164492 7.02730 [-(8*x^6+4*x^5+2*x^4+9*x^3+5*x^2-5*x+13)/(x^7+x^4-x^2+2*x-1) ogf] A164493 5.91214 [-(8*x^6+4*x^5+10*x^4-2*x^3+7*x^2-4*x+13)/(x^7+x^5-x^4+x^3-x^2+2*x-1) ogf] A164494 11.6270 [-(7*x^2-3*x+13)/(x^3-x^2+2*x-1) ogf] A164494 11.7835 [-(23-12*x-6*x^3+7*x^4+28*x^2)/(x^3-x^2+2*x-1)/(7*x^2-3*x+13) lgdogf] A164494 6.26846 [(127*f(x)-71)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+7*x^2-f(x)-3*x+13) ogf] A164494 6.26847 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=13,a(1)=23,a(2)=40} ogf] A164495 5.76225 [-2*(11-7*x+7*x^6+11*x^8+5*x^9+4*x^10+18*x^5+16*x^3+4*x^4+11*x^2+12*x^7)/(8*x^5+5*x^4+10*x^3+6*x^2-4*x+13)/(x^6+x^4-x^2+2*x-1) lgdogf] A164495 7.72913 [-(8*x^5+5*x^4+10*x^3+6*x^2-4*x+13)/(x^6+x^4-x^2+2*x-1) ogf] A164496 5.28420 [-(21-14*x+16*x^6+30*x^8-8*x^9+8*x^10+6*x^5+52*x^3-17*x^4-22*x^2-24*x^7)/(x^6-x^5+2*x^4-2*x^3+2*x-1)/(8*x^5-4*x^4+14*x^3-7*x^2-5*x+13) lgdogf] A164496 6.95908 [-(8*x^5-4*x^4+14*x^3-7*x^2-5*x+13)/(x^6-x^5+2*x^4-2*x^3+2*x-1) ogf] A164497 6.88480 [-(21-16*x+4*x^6+8*x^8-36*x^5+56*x^3+18*x^4-26*x^2+24*x^7)/(x^3-x+1)/(x^2+x-1)/(8*x^4+12*x^3-8*x^2-5*x+13) lgdogf] A164497 8.47137 [-(8*x^4+12*x^3-8*x^2-5*x+13)/(x^2+x-1)/(x^3-x+1) ogf] A164498 6.60795 [-(8*x^6+4*x^5-6*x^4+13*x^3-9*x^2-5*x+13)/(x^2+x-1)/(x^5-x^4+x^3-x+1) ogf] A164499 5.72806 [-(21-60*x+41*x^6-2*x^8-8*x^9+8*x^10-30*x^5-32*x^3+4*x^4+72*x^2-16*x^7)/(x-1)/(x^5-x^2+2*x-1)/(8*x^5-4*x^4-2*x^3-9*x^2+18*x-13) lgdogf] A164499 7.14521 [-(8*x^5-4*x^4-2*x^3-9*x^2+18*x-13)/(x-1)/(x^5-x^2+2*x-1) ogf] A164500 6.63689 [-(21-12*x+17*x^6+8*x^8-18*x^5-14*x^3+35*x^4+18*x^2-8*x^7)/(8*x^4-4*x^3+7*x^2-5*x+13)/(x^5-x^4+x^3-x^2+2*x-1) lgdogf] A164500 7.77416 [-(8*x^4-4*x^3+7*x^2-5*x+13)/(x^5-x^4+x^3-x^2+2*x-1) ogf] A164501 7.81135 [-(8*x^6+4*x^5+3*x^4+x^3-7*x^2-4*x+13)/(x^7-x^3+2*x-1) ogf] A164502 5.80233 [-2*(10-9*x-4*x^6+14*x^8+5*x^9+4*x^10-2*x^5+24*x^3+5*x^4-12*x^2-2*x^7)/(x^6+x^4-2*x^3+2*x-1)/(8*x^5+5*x^4+12*x^3-9*x^2-6*x+13) lgdogf] A164502 7.78435 [-(8*x^5+5*x^4+12*x^3-9*x^2-6*x+13)/(x^6+x^4-2*x^3+2*x-1) ogf] A164503 6.59822 [-(8*x^6+4*x^5+10*x^4+5*x^3-5*x^2+5*x-13)/(x^3+x-1)/(x^4+x-1) ogf] A164504 7.21425 [-(8*x^5+5*x^4+18*x^3-5*x^2+4*x-13)/(x^3+x-1)^2 ogf] A164504 7.67207 [-2*(-11-3*x+5*x^6+15*x^5+11*x^3+5*x^4-12*x^2+4*x^7)/(x^3+x-1)/(8*x^5+5*x^4+18*x^3-5*x^2+4*x-13) lgdogf] A164505 7.04166 [-(8*x^5+5*x^4+20*x^3-4*x^2+6*x-13)/(x^3+x-1)^2 ogf] A164505 7.72902 [-2*(-10-x+5*x^6+18*x^5+15*x^3+7*x^4-9*x^2+4*x^7)/(x^3+x-1)/(8*x^5+5*x^4+20*x^3-4*x^2+6*x-13) lgdogf] A164506 6.28758 [-2*(11-7*x+27*x^6+15*x^8-5*x^5+28*x^3-31*x^4-11*x^2-28*x^7)/(x-1)/(15*x^4-14*x^3+7*x^2+4*x-13)/(2*x^4-x^3+x^2+x-1) lgdogf] A164506 8.30422 [-(15*x^4-14*x^3+7*x^2+4*x-13)/(x-1)/(2*x^4-x^3+x^2+x-1) ogf] A164507 6.96620 [-(x^8+x^7+x^6+x^5+2*x^4-x^3-1)/(x^7+x^5-x^4+x^3-2*x+1) ogf] A164508 5.56794 [-2*(x+1)*(4*x^9-16*x^8+35*x^7-43*x^6+32*x^5-x^4-21*x^3+29*x^2-17*x+10)/(x^6-2*x^5+2*x^4-x^2+2*x-1)/(8*x^5-12*x^4+10*x^3+6*x^2-6*x+13) lgdogf] A164508 8.32521 [-(x+1)*(x^5-x^4+2*x^2-x+1)/(x^6-2*x^5+2*x^4-x^2+2*x-1) ogf] A164509 5.18558 [-(22+32*x+95*x^6+46*x^8+24*x^9+8*x^10+114*x^5+90*x^3+112*x^4+65*x^2+76*x^7)/(8*x^5+12*x^4+14*x^3+16*x^2+9*x+13)/(x^6+x^5+x^4+x^3+x-1) lgdogf] A164509 7.32122 [-(x+1)*(x^2+1)*(x^3+x^2+1)/(x^6+x^5+x^4+x^3+x-1) ogf] A164532 10.4537 [(3*f(x)+1)*(6*f(x)*x^2-f(x)+4*x+1) ogf] A164532 10.9437 [{a(n+2)-6*a(n),a(0)=1,a(1)=4} ogf] A164532 17.0829 [-(4*x+1)/(6*x^2-1) ogf] A164532 18.0771 [1/4*(-1+(1+16*x+24*x^2)^(1/2))/(2+3*x) revogf] A164532 20.2038 [-4*(1+3*x+6*x^2)/(4*x+1)/(6*x^2-1) lgdogf] A164535 12.0480 [-(4*x-3)/(14*x^2-8*x+1) ogf] A164535 12.9102 [-1/4*(-3-8*x+(9+32*x+8*x^2)^(1/2))/(2+7*x) revogf] A164535 13.2251 [-4*(5-21*x+14*x^2)/(4*x-3)/(14*x^2-8*x+1) lgdogf] A164535 6.29785 [(19*f(x)+43)*(14*f(x)*x^2-8*f(x)*x+f(x)+4*x-3) ogf] A164535 6.59774 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=3,a(1)=20} ogf] A164536 12.6840 [-(7*x-3)/(23*x^2-10*x+1) ogf] A164536 13.2765 [-1/2*(-3-10*x+(9+32*x+8*x^2)^(1/2))/(7+23*x) revogf] A164536 14.2480 [-23*(1-6*x+7*x^2)/(7*x-3)/(23*x^2-10*x+1) lgdogf] A164536 6.6239 [(78*f(x)+295)*(23*f(x)*x^2-10*f(x)*x+f(x)+7*x-3) ogf] A164536 7.01353 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=3,a(1)=23} ogf] A164537 11.8554 [-(12*x-5)/(14*x^2-8*x+1) ogf] A164537 12.3914 [-28*(-1+3*x)*(2*x-1)/(12*x-5)/(14*x^2-8*x+1) lgdogf] A164537 12.6796 [-1/4*(-5-8*x+(25+32*x+8*x^2)^(1/2))/(6+7*x) revogf] A164537 6.05659 [(325*f(x)+1511)*(14*f(x)*x^2-8*f(x)*x+f(x)+12*x-5) ogf] A164537 6.63340 [{-a(n+2)+8*a(n+1)-14*a(n),a(0)=5,a(1)=28} ogf] A164538 12.5446 [-(17*x-5)/(23*x^2-10*x+1) ogf] A164538 12.8295 [-1/2*(-5-10*x+(25+32*x+8*x^2)^(1/2))/(17+23*x) revogf] A164538 13.4127 [-(33-230*x+391*x^2)/(17*x-5)/(23*x^2-10*x+1) lgdogf] A164538 6.54502 [(100*f(x)+589)*(23*f(x)*x^2-10*f(x)*x+f(x)+17*x-5) ogf] A164538 7.08402 [{-a(n+2)+10*a(n+1)-23*a(n),a(0)=5,a(1)=33} ogf] A164539 14.5085 [-(11*x+1)/(7*x^2+2*x-1) ogf] A164539 15.2251 [1/2/(11+7*x)*(-2*x-1+(32*x^2+48*x+1)^(1/2)) revogf] A164539 16.3670 [-(13+14*x+77*x^2)/(11*x+1)/(7*x^2+2*x-1) lgdogf] A164539 7.49878 [(40*f(x)+129)*(7*f(x)*x^2+2*f(x)*x-f(x)+11*x+1) ogf] A164539 8.04084 [{a(n+2)-2*a(n+1)-7*a(n),a(0)=1,a(1)=13} ogf] A164540 13.6409 [-(10*x+1)/(4*x^2+4*x-1) ogf] A164540 14.6456 [1/4*(-1-4*x+(32*x^2+48*x+1)^(1/2))/(5+2*x) revogf] A164540 15.3779 [-2*(7+4*x+20*x^2)/(10*x+1)/(4*x^2+4*x-1) lgdogf] A164540 7.13047 [(16*f(x)+33)*(4*f(x)*x^2+4*f(x)*x-f(x)+10*x+1) ogf] A164540 7.56001 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=14} ogf] A164541 12.4489 [(9*x+1)/(x^2-6*x+1) ogf] A164541 13.0528 [-1/2*(-1-6*x+(32*x^2+48*x+1)^(1/2))/(-9+x) revogf] A164541 15.2283 [-(-15+2*x+9*x^2)/(9*x+1)/(x^2-6*x+1) lgdogf] A164541 6.36593 [(88*f(x)+137)*(f(x)*x^2-6*f(x)*x+f(x)-9*x-1) ogf] A164541 6.74942 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=15} ogf] A164542 13.3144 [(8*x+1)/(8*x^2-8*x+1) ogf] A164542 13.9801 [-1/16*(-1-8*x+(32*x^2+48*x+1)^(1/2))/(x-1) revogf] A164542 15.4517 [-16*(-1+x+4*x^2)/(8*x+1)/(8*x^2-8*x+1) lgdogf] A164542 6.73198 [(193*f(x)+831)*(8*f(x)*x^2-8*f(x)*x+f(x)-8*x-1) ogf] A164542 7.21863 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=16} ogf] A164543 13.4489 [(7*x+1)/(17*x^2-10*x+1) ogf] A164543 13.4808 [-1/2*(-1-10*x+(32*x^2+48*x+1)^(1/2))/(-7+17*x) revogf] A164543 15.1248 [-17*(7*x^2+2*x-1)/(7*x+1)/(17*x^2-10*x+1) lgdogf] A164543 7.02333 [(64*f(x)+225)*(17*f(x)*x^2-10*f(x)*x+f(x)-7*x-1) ogf] A164543 7.43646 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=17} ogf] A164544 14.4778 [-(5*x+1)/(7*x^2+2*x-1) ogf] A164544 15.2092 [1/2/(5+7*x)*(-2*x-1+(32*x^2+24*x+1)^(1/2)) revogf] A164544 16.8102 [-7*(1+2*x+5*x^2)/(5*x+1)/(7*x^2+2*x-1) lgdogf] A164544 7.15935 [-(16*f(x)+33)*(7*f(x)*x^2+2*f(x)*x-f(x)+5*x+1) ogf] A164544 7.94512 [{a(n+2)-2*a(n+1)-7*a(n),a(0)=1,a(1)=7} ogf] A164545 13.6006 [-(4*x+1)/(4*x^2+4*x-1) ogf] A164545 14.9915 [1/8*(-1-4*x+(32*x^2+24*x+1)^(1/2))/(1+x) revogf] A164545 16.6573 [-8*(1+x+2*x^2)/(4*x+1)/(4*x^2+4*x-1) lgdogf] A164545 6.65246 [-(97*f(x)+159)*(4*f(x)*x^2+4*f(x)*x-f(x)+4*x+1) ogf] A164545 7.46373 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=8} ogf] A164546 13.1146 [(2*x+1)/(8*x^2-8*x+1) ogf] A164546 13.1404 [-1/4*(-1-8*x+(32*x^2+24*x+1)^(1/2))/(-1+4*x) revogf] A164546 14.8250 [-2*(-5+8*x+8*x^2)/(2*x+1)/(8*x^2-8*x+1) lgdogf] A164546 6.86232 [(16*f(x)+9)*(8*f(x)*x^2-8*f(x)*x+f(x)-2*x-1) ogf] A164546 7.11035 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=10} ogf] A164547 13.1940 [(x+1)/(17*x^2-10*x+1) ogf] A164547 13.2203 [-1/2*(-1-10*x+(32*x^2+24*x+1)^(1/2))/(-1+17*x) revogf] A164547 15.2033 [-(-11+34*x+17*x^2)/(x+1)/(17*x^2-10*x+1) lgdogf] A164547 6.9676 [(76*f(x)+45)*(17*f(x)*x^2-10*f(x)*x+f(x)-x-1) ogf] A164547 7.29548 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=11} ogf] A164548 11.7177 [(9*f(x)*x-f(x)+x+1)^3 ogf] A164548 4.28482 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(36*x^7-8*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x+1) ogf] A164549 12.9824 [-(2*x+1)/(2*x^2+4*x-1) ogf] A164549 14.2961 [1/4*(-1-4*x+(1+16*x+24*x^2)^(1/2))/(1+x) revogf] A164549 15.0485 [-2*(3+2*x+2*x^2)/(2*x+1)/(2*x^2+4*x-1) lgdogf] A164549 6.2818 [-(187*f(x)+137)*(2*f(x)*x^2+4*f(x)*x-f(x)+2*x+1) ogf] A164549 7.12448 [{a(n+2)-4*a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A164550 12.9900 [(x+1)/(3*x^2-6*x+1) ogf] A164550 13.0084 [-1/2*(-1-6*x+(1+16*x+24*x^2)^(1/2))/(-1+3*x) revogf] A164550 16.3534 [-(-7+6*x+3*x^2)/(x+1)/(3*x^2-6*x+1) lgdogf] A164550 6.71895 [(36*f(x)+13)*(3*f(x)*x^2-6*f(x)*x+f(x)-x-1) ogf] A164550 7.12863 [{-a(n+2)+6*a(n+1)-3*a(n),a(0)=1,a(1)=7} ogf] A164551 12.7478 [-(x-1)/(19*x^2-10*x+1) ogf] A164551 13.0481 [-1/2*(-1-10*x+(1+16*x+24*x^2)^(1/2))/(1+19*x) revogf] A164551 15.4517 [-(9-38*x+19*x^2)/(x-1)/(19*x^2-10*x+1) lgdogf] A164551 6.73198 [(52*f(x)+29)*(19*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A164551 7.13269 [{-a(n+2)+10*a(n+1)-19*a(n),a(0)=1,a(1)=9} ogf] A164552 13.4489 [-(2*x-1)/(30*x^2-12*x+1) ogf] A164552 13.7804 [-1/4*(-1-12*x+(1+16*x+24*x^2)^(1/2))/(1+15*x) revogf] A164552 15.1248 [-10*(1-6*x+6*x^2)/(2*x-1)/(30*x^2-12*x+1) lgdogf] A164552 7.10224 [(51*f(x)+49)*(30*f(x)*x^2-12*f(x)*x+f(x)+2*x-1) ogf] A164552 7.43646 [{-a(n+2)+12*a(n+1)-30*a(n),a(0)=1,a(1)=10} ogf] A164553 12.4042 [-(3*x-1)/(43*x^2-14*x+1) ogf] A164553 12.6938 [-1/2*(-1-14*x+(1+16*x+24*x^2)^(1/2))/(3+43*x) revogf] A164553 13.2842 [-(11-86*x+129*x^2)/(-1+3*x)/(43*x^2-14*x+1) lgdogf] A164553 6.55055 [(68*f(x)+53)*(43*f(x)*x^2-14*f(x)*x+f(x)+3*x-1) ogf] A164553 6.85881 [{-a(n+2)+14*a(n+1)-43*a(n),a(0)=1,a(1)=11} ogf] A164559 12.4489 [(4*x+1)/(6*x-1)/(x-1) ogf] A164559 12.4595 [-1/4*(-1-7*x+(1+30*x+25*x^2)^(1/2))/(-2+3*x) revogf] A164559 13.7055 [-(-11+12*x+24*x^2)/(x-1)/(6*x-1)/(4*x+1) lgdogf] A164559 6.4391 [(65*f(x)+56)*(6*f(x)*x^2-7*f(x)*x+f(x)-4*x-1) ogf] A164559 6.74942 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=1,a(1)=11} ogf] A164560 12.7001 [(4*x+1)/(x-1)/(6*x^2-1) ogf] A164560 14.0378 [-(-5-12*x+48*x^3-6*x^2)/(x-1)/(4*x+1)/(6*x^2-1) lgdogf] A164560 5.95667 [{a(n+3)-a(n+2)-6*a(n+1)+6*a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A164560 6.2907 [(325*f(x)+548)*(6*f(x)*x^3-6*f(x)*x^2-f(x)*x+f(x)-4*x-1) ogf] A164562 7.77149 [-(x^11+x^10+x^6+2*x^5+x^4+1)/(-x^12+1) ogf_with_Euler_transform] A164562 99.9999 Evaluated at exp(-Pi) 1/12*exp(1/12*Pi)*Pi^(1/4)*2^(23/24)*3^(1/2)/GAMMA(11/12)^(1/2)/GAMMA(7/12)^(1/2)*(2^(1/2)*(3^(1/2)-1))^(1/2)*(2^(1/2)*(1+3^(1/2)))^(2/3) A164576 12.6333 [-(11+29*x+27*x^3+12*x^4+65*x^2)/(x-1)/(x+1)/(6*x^3+7*x^2+10*x+1) lgdogf] A164576 9.58060 [-(6*x^3+7*x^2+10*x+1)/(x+1)^2/(x-1)^3 ogf] A164577 5.55700 [(3*x^7+6*x^6+11*x^5+34*x^4+17*x^3+13*x^2+11*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A164577 5.82745 [-(x+1)*(9*x^8+18*x^7+46*x^6+196*x^5+4*x^4+206*x^3+59*x^2+26*x+12)/(x-1)/(x^2+x+1)/(3*x^7+6*x^6+11*x^5+34*x^4+17*x^3+13*x^2+11*x+1) lgdogf] A164578 11.8686 [-(23+107*x+69*x^3+6*x^4+83*x^2)/(x-1)/(x+1)/(3*x^3+22*x^2+13*x+10) lgdogf] A164578 9.07345 [-(3*x^3+22*x^2+13*x+10)/(x+1)^2/(x-1)^3 ogf] A164579 5.35392 [(10*x^7+39*x^6+23*x^5+132*x^4+99*x^3+25*x^2+50*x+6)/(x^2+x+1)^3/(x-1)^4 ogf] A164581 16.1727 [(3*x-1)/(x^2+5*x-1) ogf] A164581 16.2262 [1/2/(-3+x)*(-1-5*x+(1-2*x+29*x^2)^(1/2)) revogf] A164581 18.0291 [-(-2-2*x+3*x^2)/(-1+3*x)/(x^2+5*x-1) lgdogf] A164581 8.17724 [(125*f(x)-109)*(f(x)*x^2+5*f(x)*x-f(x)-3*x+1) ogf] A164581 8.87528 [{-a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A164582 15.6078 [-(7*x-2)/(x^2-5*x+1) ogf] A164582 17.2409 [-1/2*(-2-5*x+(4-8*x+21*x^2)^(1/2))/(7+x) revogf] A164582 20.2834 [-(3-4*x+7*x^2)/(7*x-2)/(x^2-5*x+1) lgdogf] A164582 7.55215 [-(320*f(x)-559)*(f(x)*x^2-5*f(x)*x+f(x)+7*x-2) ogf] A164582 8.56523 [{a(n+2)-5*a(n+1)+a(n),a(0)=2,a(1)=3} ogf] A164583 13.3066 [-4*(9+56*x+16*x^2)/(-1+4*x)/(16*x^2+24*x+1) lgdogf] A164583 4.90897 [(39*f(x)-154)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+16*x^2-f(x)+24*x+1) ogf] A164583 4.95057 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=36,a(2)=400} ogf] A164583 8.85102 [-(16*x^2+24*x+1)/(4*x-1)^3 ogf] A164584 5.42337 [-(40*f(x)-29)*(16*f(x)*x^4-24*f(x)*x^2+8*x^3+12*x^2+f(x)-6*x-1) ogf] A164584 6.02275 [-2*(3+12*x+64*x^6+192*x^5-32*x^3-48*x^4+60*x^2)/(2*x-1)/(4*x^2+4*x-1)/(4*x^2-4*x-1)/(4*x^2+8*x+1) lgdogf] A164584 8.77310 [-(2*x-1)*(4*x^2+8*x+1)/(4*x^2+4*x-1)/(4*x^2-4*x-1) ogf] A164587 10.4285 [-(11*f(x)+10)*(2*f(x)*x^2-f(x)+8*x+1) ogf] A164587 11.8950 [{a(n+2)-2*a(n),a(0)=1,a(1)=8} ogf] A164587 18.5679 [-(8*x+1)/(2*x^2-1) ogf] A164587 21.3265 [1/4*(-1+(1+32*x+8*x^2)^(1/2))/(4+x) revogf] A164587 23.3259 [-4*(2+x+4*x^2)/(8*x+1)/(2*x^2-1) lgdogf] A164588 14.5100 [-(x-1)/(17*x^2-10*x+1) ogf] A164588 14.8843 [-1/2*(-1-10*x+(1+16*x+32*x^2)^(1/2))/(1+17*x) revogf] A164588 17.6262 [-(9-34*x+17*x^2)/(x-1)/(17*x^2-10*x+1) lgdogf] A164588 7.66262 [(56*f(x)+25)*(17*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A164588 8.11871 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=9} ogf] A164589 16.8697 [-(2*x+1)/(7*x^2+2*x-1) ogf] A164589 16.9569 [1/2/(2+7*x)*(-2*x-1+((1+4*x)*(8*x+1))^(1/2)) revogf] A164589 19.6343 [-2*(2+7*x+7*x^2)/(2*x+1)/(7*x^2+2*x-1) lgdogf] A164589 8.82717 [(11*f(x)-3)*(7*f(x)*x^2+2*f(x)*x-f(x)+2*x+1) ogf] A164589 9.25777 [{a(n+2)-2*a(n+1)-7*a(n),a(0)=1,a(1)=4} ogf] A164590 11.099 [(10*f(x)*x-f(x)+x+1)^3 ogf] A164590 4.14143 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(45*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1) ogf] A164591 14.0048 [-1/2*(-1-8*x+((1+4*x)*(8*x+1))^(1/2))/(8*x+1) revogf] A164591 14.2754 [-(x-1)/(8*x^2-8*x+1) ogf] A164591 18.0062 [-(7-16*x+8*x^2)/(x-1)/(8*x^2-8*x+1) lgdogf] A164591 7.4697 [(40*f(x)+9)*(8*f(x)*x^2-8*f(x)*x+f(x)+x-1) ogf] A164591 7.83407 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=7} ogf] A164592 14.1214 [-1/2*(-1-10*x+((1+4*x)*(8*x+1))^(1/2))/(2+17*x) revogf] A164592 14.3805 [-(2*x-1)/(17*x^2-10*x+1) ogf] A164592 15.8025 [-2*(4-17*x+17*x^2)/(2*x-1)/(17*x^2-10*x+1) lgdogf] A164592 7.6805 [(23*f(x)+9)*(17*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A164592 8.04623 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=8} ogf] A164593 12.9900 [-(2*x+5)/(4*x^2+4*x-1) ogf] A164593 13.3109 [1/4*(-5-4*x+(25+48*x+32*x^2)^(1/2))/(2*x+1) revogf] A164593 14.3092 [-2*(11+20*x+4*x^2)/(2*x+5)/(4*x^2+4*x-1) lgdogf] A164593 6.42361 [-(32*f(x)-39)*(4*f(x)*x^2+4*f(x)*x-f(x)+2*x+5) ogf] A164593 7.04275 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=5,a(1)=22} ogf] A164594 15.2226 [-(8*x-5)/(8*x^2-8*x+1) ogf] A164594 15.6474 [-1/16*(-5-8*x+(25+48*x+32*x^2)^(1/2))/(1+x) revogf] A164594 17.2523 [-16*(2-5*x+4*x^2)/(8*x-5)/(8*x^2-8*x+1) lgdogf] A164594 7.21071 [-(3005*f(x)+1359)*(8*f(x)*x^2-8*f(x)*x+f(x)+8*x-5) ogf] A164594 8.25322 [{a(n+2)-8*a(n+1)+8*a(n),a(0)=5,a(1)=32} ogf] A164595 14.9689 [-(13*x-5)/(17*x^2-10*x+1) ogf] A164595 15.0283 [-1/2*(-5-10*x+(25+48*x+32*x^2)^(1/2))/(13+17*x) revogf] A164595 16.0529 [-(37-170*x+221*x^2)/(13*x-5)/(17*x^2-10*x+1) lgdogf] A164595 7.48445 [-(200*f(x)+369)*(17*f(x)*x^2-10*f(x)*x+f(x)+13*x-5) ogf] A164595 8.45302 [{a(n+2)-10*a(n+1)+17*a(n),a(0)=5,a(1)=37} ogf] A164598 13.3214 [(2*x+1)/(34*x^2-12*x+1) ogf] A164598 13.6472 [-1/4*(-1-12*x+(1+32*x+8*x^2)^(1/2))/(-1+17*x) revogf] A164598 14.2820 [-2*(-7+34*x+34*x^2)/(2*x+1)/(34*x^2-12*x+1) lgdogf] A164598 7.03492 [(25*f(x)+24)*(34*f(x)*x^2-12*f(x)*x+f(x)-2*x-1) ogf] A164598 7.36598 [{-a(n+2)+12*a(n+1)-34*a(n),a(0)=1,a(1)=14} ogf] A164599 12.5295 [(x+1)/(47*x^2-14*x+1) ogf] A164599 12.8247 [-1/2*(-1-14*x+(1+32*x+8*x^2)^(1/2))/(-1+47*x) revogf] A164599 14.4278 [-(-15+94*x+47*x^2)/(x+1)/(47*x^2-14*x+1) lgdogf] A164599 6.47129 [(116*f(x)+109)*(47*f(x)*x^2-14*f(x)*x+f(x)-x-1) ogf] A164599 6.92809 [{-a(n+2)+14*a(n+1)-47*a(n),a(0)=1,a(1)=15} ogf] A164600 11.8075 [-(x-1)/(79*x^2-18*x+1) ogf] A164600 12.3498 [-1/2*(-1-18*x+(1+32*x+8*x^2)^(1/2))/(1+79*x) revogf] A164600 13.5847 [-(17-158*x+79*x^2)/(x-1)/(79*x^2-18*x+1) lgdogf] A164600 6.09837 [(148*f(x)+141)*(79*f(x)*x^2-18*f(x)*x+f(x)+x-1) ogf] A164600 6.52884 [{-a(n+2)+18*a(n+1)-79*a(n),a(0)=1,a(1)=17} ogf] A164601 11.099 [(11*f(x)*x-f(x)+x+1)^3 ogf] A164601 3.96394 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(55*x^7-10*x^6-10*x^5-10*x^4-10*x^3-10*x^2-10*x+1) ogf] A164602 13.4962 [-(15*x+1)/(7*x^2+2*x-1) ogf] A164602 14.1462 [1/2/(15+7*x)*(-2*x-1+(32*x^2+64*x+1)^(1/2)) revogf] A164602 14.8362 [-(17+14*x+105*x^2)/(15*x+1)/(7*x^2+2*x-1) lgdogf] A164602 6.97559 [(48*f(x)+241)*(7*f(x)*x^2+2*f(x)*x-f(x)+15*x+1) ogf] A164602 7.47984 [{a(n+2)-2*a(n+1)-7*a(n),a(0)=1,a(1)=17} ogf] A164603 12.5090 [-(14*x+1)/(4*x^2+4*x-1) ogf] A164603 13.4104 [1/4*(-1-4*x+(32*x^2+64*x+1)^(1/2))/(7+2*x) revogf] A164603 14.0809 [-2*(9+4*x+28*x^2)/(14*x+1)/(4*x^2+4*x-1) lgdogf] A164603 6.5388 [(20*f(x)+61)*(4*f(x)*x^2+4*f(x)*x-f(x)+14*x+1) ogf] A164603 6.93270 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=18} ogf] A164604 12.3737 [(13*x+1)/(x^2-6*x+1) ogf] A164604 12.9583 [-1/2*(-1-6*x+(32*x^2+64*x+1)^(1/2))/(-13+x) revogf] A164604 14.6633 [-(-19+2*x+13*x^2)/(13*x+1)/(x^2-6*x+1) lgdogf] A164604 6.32432 [(112*f(x)+249)*(f(x)*x^2-6*f(x)*x+f(x)-13*x-1) ogf] A164604 6.85770 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=19} ogf] A164605 13.2203 [(12*x+1)/(8*x^2-8*x+1) ogf] A164605 13.5489 [-1/8*(-1-8*x+(32*x^2+64*x+1)^(1/2))/(-3+2*x) revogf] A164605 14.5403 [-4*(-5+4*x+24*x^2)/(12*x+1)/(8*x^2-8*x+1) lgdogf] A164605 6.99004 [(9*f(x)+16)*(8*f(x)*x^2-8*f(x)*x+f(x)-12*x-1) ogf] A164605 7.32690 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=20} ogf] A164606 13.2935 [(11*x+1)/(17*x^2-10*x+1) ogf] A164606 13.3214 [-1/2*(-1-10*x+(32*x^2+64*x+1)^(1/2))/(-11+17*x) revogf] A164606 14.2297 [-(-21+34*x+187*x^2)/(11*x+1)/(17*x^2-10*x+1) lgdogf] A164606 6.93577 [(176*f(x)+265)*(17*f(x)*x^2-10*f(x)*x+f(x)-11*x-1) ogf] A164606 7.50694 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=21} ogf] A164607 13.8066 [-(6*x+1)/(4*x^2+4*x-1) ogf] A164607 14.4984 [1/4*(-1-4*x+(1+32*x+32*x^2)^(1/2))/(3+2*x) revogf] A164607 15.6137 [-2*(5+4*x+12*x^2)/(6*x+1)/(4*x^2+4*x-1) lgdogf] A164607 7.14137 [(12*f(x)+13)*(4*f(x)*x^2+4*f(x)*x-f(x)+6*x+1) ogf] A164607 7.48553 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=1,a(1)=10} ogf] A164608 13.1146 [(4*x+1)/(8*x^2-8*x+1) ogf] A164608 13.1404 [-1/8*(-1-8*x+(1+32*x+32*x^2)^(1/2))/(-1+2*x) revogf] A164608 14.8250 [-4*(-3+4*x+8*x^2)/(4*x+1)/(8*x^2-8*x+1) lgdogf] A164608 6.631 [(103*f(x)+221)*(8*f(x)*x^2-8*f(x)*x+f(x)-4*x-1) ogf] A164608 7.11035 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=1,a(1)=12} ogf] A164609 13.3214 [(3*x+1)/(17*x^2-10*x+1) ogf] A164609 13.3505 [-1/2*(-1-10*x+(1+32*x+32*x^2)^(1/2))/(-3+17*x) revogf] A164609 14.6220 [-(-13+34*x+51*x^2)/(3*x+1)/(17*x^2-10*x+1) lgdogf] A164609 7.03492 [(96*f(x)+73)*(17*f(x)*x^2-10*f(x)*x+f(x)-3*x-1) ogf] A164609 7.36598 [{-a(n+2)+10*a(n+1)-17*a(n),a(0)=1,a(1)=13} ogf] A164610 10.0296 [(12*f(x)*x-f(x)+x+1)^3 ogf] A164610 3.58199 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(66*x^7-11*x^6-11*x^5-11*x^4-11*x^3-11*x^2-11*x+1) ogf] A164611 14.4452 [-(x^2-5*x+3)*(x+1)^2/(x^2-x+1)/(x^3-2*x^2-x-1) lgdogf] A164611 4.27622 [(f(x)-6)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)-x-1) ogf] A164611 7.60835 [-(x^3-2*x^2-x-1)/(x^2-x+1)^2 ogf] A164614 10.3710 [-(-2*x^6+2*x^5+4*x^4-4*x^2-2*x+2)/(-x^8-x^4-1) ogf_with_Euler_transform] A164614 99.9999 Evaluated at exp(-Pi) -8/3*Pi^2*exp(2/3*Pi)*(-7/4+3^(1/2))*3^(1/2)*GAMMA(11/12)^4/GAMMA(2/3)^4/GAMMA(3/4)^4 A164617 99.9999 Evaluated at exp(-Pi) 1/6/Pi*GAMMA(2/3)^2/GAMMA(11/12)*GAMMA(7/12)*(1+3^(1/2))^2 A164618 10.2562 [(13*f(x)*x-f(x)+x+1)^3 ogf] A164618 3.66294 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(78*x^7-12*x^6-12*x^5-12*x^4-12*x^3-12*x^2-12*x+1) ogf] A164626 10.5396 [(14*f(x)*x-f(x)+x+1)^3 ogf] A164626 3.76412 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(91*x^7-13*x^6-13*x^5-13*x^4-13*x^3-13*x^2-13*x+1) ogf] A164627 10.7095 [(15*f(x)*x-f(x)+x+1)^3 ogf] A164627 3.79771 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(105*x^7-14*x^6-14*x^5-14*x^4-14*x^3-14*x^2-14*x+1) ogf] A164628 10.9929 [(16*f(x)*x-f(x)+x+1)^3 ogf] A164628 3.89818 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(120*x^7-15*x^6-15*x^5-15*x^4-15*x^3-15*x^2-15*x+1) ogf] A164630 11.1629 [(17*f(x)*x-f(x)+x+1)^3 ogf] A164630 3.95845 [(x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(136*x^7-16*x^6-16*x^5-16*x^4-16*x^3-16*x^2-16*x+1) ogf] A164631 5.16972 [-(36*f(x)*x+f(x)-55*x-1)*(18*f(x)*x-f(x)+x+1)^2 ogf] A164633 5.22748 [-(38*f(x)*x+f(x)-58*x-1)*(19*f(x)*x-f(x)+x+1)^2 ogf] A164634 5.31413 [-(40*f(x)*x+f(x)-61*x-1)*(20*f(x)*x-f(x)+x+1)^2 ogf] A164635 5.34301 [-(42*f(x)*x+f(x)-64*x-1)*(21*f(x)*x-f(x)+x+1)^2 ogf] A164636 5.48742 [-(44*f(x)*x+f(x)-67*x-1)*(22*f(x)*x-f(x)+x+1)^2 ogf] A164637 5.5163 [-(46*f(x)*x+f(x)-70*x-1)*(23*f(x)*x-f(x)+x+1)^2 ogf] A164638 5.57406 [-(48*f(x)*x+f(x)-73*x-1)*(24*f(x)*x-f(x)+x+1)^2 ogf] A164639 5.63182 [-(50*f(x)*x+f(x)-76*x-1)*(25*f(x)*x-f(x)+x+1)^2 ogf] A164640 15.3369 [-(6*x+1)/(8*x^2-1) ogf] A164640 16.2048 [1/4*(-1+(32*x^2+24*x+1)^(1/2))/(3+4*x) revogf] A164640 17.5937 [-2*(3+8*x+24*x^2)/(6*x+1)/(8*x^2-1) lgdogf] A164640 9.38526 [(4*f(x)+5)*(8*f(x)*x^2-f(x)+6*x+1) ogf] A164640 9.82520 [{a(n+2)-8*a(n),a(0)=1,a(1)=6} ogf] A164644 5.68958 [-(52*f(x)*x+f(x)-79*x-1)*(26*f(x)*x-f(x)+x+1)^2 ogf] A164651 3.49727 [f(x)^2*x^4+2*f(x)^2*x^3-8*f(x)^2*x^2-3*f(x)*x^3+6*f(x)^2*x+12*f(x)*x^2+x^3-f(x)^2-11*f(x)*x-4*x^2+2*f(x)+5*x-1 ogf] A164654 11.8058 [(3*f(x)+7)*(2*f(x)*x^2-f(x)+8*x+3) ogf] A164654 12.3592 [{a(n+2)-2*a(n),a(0)=3,a(1)=8} ogf] A164654 19.2924 [-(8*x+3)/(2*x^2-1) ogf] A164654 22.1753 [1/4*(-3+(9+32*x+8*x^2)^(1/2))/(4+x) revogf] A164654 22.8275 [-4*(2+3*x+4*x^2)/(8*x+3)/(2*x^2-1) lgdogf] A164660 13.7116 [f(x)*x^4-2*x^4-x^3-x^2-f(x)+x+1 ogf] A164660 14.5554 [(2*x^4+x^3+x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A164660 16.5425 [-(-1+2*x+x^6+2*x^5+4*x^3-3*x^4+3*x^2)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+x^2-x-1) lgdogf] A164660 8.76019 [{a(n+5)-a(n+1),a(0)=1,a(1)=1,a(2)=-1,a(3)=-1,a(4)=-1} ogf] A164661 6.77823 [-2*(-1-3*x+8*x^6+x^8-3*x^9+x^10-42*x^5-24*x^3-8*x^4-x^2-24*x^7)/(x-1)/(x+1)/(x^2+1)/(2*x^8+2*x^7-7*x^6-2*x^5-9*x^4+2*x^3-x^2-2*x-1) lgdogf] A164661 8.00346 [(2*x^8+2*x^7-7*x^6-2*x^5-9*x^4+2*x^3-x^2-2*x-1)/(x^2+1)/(x-1)^3/(x+1)^3 ogf] A164664 5.77623 [-(54*f(x)*x+f(x)-82*x-1)*(27*f(x)*x-f(x)+x+1)^2 ogf] A164665 5.80511 [-(56*f(x)*x+f(x)-85*x-1)*(28*f(x)*x-f(x)+x+1)^2 ogf] A164666 5.86287 [-(58*f(x)*x+f(x)-88*x-1)*(29*f(x)*x-f(x)+x+1)^2 ogf] A164667 5.89175 [-(60*f(x)*x+f(x)-91*x-1)*(30*f(x)*x-f(x)+x+1)^2 ogf] A164668 5.89175 [-(62*f(x)*x+f(x)-94*x-1)*(31*f(x)*x-f(x)+x+1)^2 ogf] A164669 6.09392 [-(64*f(x)*x+f(x)-97*x-1)*(32*f(x)*x-f(x)+x+1)^2 ogf] A164670 6.0311 [-(66*f(x)*x+f(x)-100*x-1)*(33*f(x)*x-f(x)+x+1)^2 ogf] A164671 6.0311 [-(68*f(x)*x+f(x)-103*x-1)*(34*f(x)*x-f(x)+x+1)^2 ogf] A164672 6.08826 [-(70*f(x)*x+f(x)-106*x-1)*(35*f(x)*x-f(x)+x+1)^2 ogf] A164673 7.56661 [(f(x)-1)*(36*f(x)*x-f(x)+x+1)^2 ogf] A164674 7.56661 [(f(x)-1)*(37*f(x)*x-f(x)+x+1)^2 ogf] A164675 15.2820 [-(12*x+1)/(8*x^2-1) ogf] A164675 16.5477 [1/8*(-1+(32*x^2+48*x+1)^(1/2))/(3+2*x) revogf] A164675 17.4670 [-4*(3+4*x+24*x^2)/(12*x+1)/(8*x^2-1) lgdogf] A164675 8.67358 [-(19*f(x)+16)*(8*f(x)*x^2-f(x)+12*x+1) ogf] A164675 9.87455 [{a(n+2)-8*a(n),a(0)=1,a(1)=12} ogf] A164680 17.7737 [-3*(1+4*x+4*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A164680 31.6532 [x^2+3*x+3 ogf_with_Euler_transform] A164680 9.15860 [-1/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A164681 7.64626 [(f(x)-1)*(38*f(x)*x-f(x)+x+1)^2 ogf] A164682 11.6172 [(5*f(x)-9)*(2*f(x)*x^2-f(x)+8*x+5) ogf] A164682 12.1618 [{a(n+2)-2*a(n),a(0)=5,a(1)=8} ogf] A164682 18.9842 [-(8*x+5)/(2*x^2-1) ogf] A164682 21.2111 [1/4*(-5+(25+32*x+8*x^2)^(1/2))/(4+x) revogf] A164682 22.4588 [-4*(2+5*x+4*x^2)/(8*x+5)/(2*x^2-1) lgdogf] A164683 15.4164 [-(8*x+1)/(8*x^2-1) ogf] A164683 16.7308 [1/16*(-1+(1+32*x+32*x^2)^(1/2))/(1+x) revogf] A164683 18.2070 [-8*(1+2*x+8*x^2)/(8*x+1)/(8*x^2-1) lgdogf] A164683 8.9024 [-(3*f(x)+2)*(8*f(x)*x^2-f(x)+8*x+1) ogf] A164683 9.87611 [{a(n+2)-8*a(n),a(0)=1,a(1)=8} ogf] A164684 7.68608 [(f(x)-1)*(39*f(x)*x-f(x)+x+1)^2 ogf] A164685 7.76573 [(f(x)-1)*(40*f(x)*x-f(x)+x+1)^2 ogf] A164686 7.76573 [(f(x)-1)*(41*f(x)*x-f(x)+x+1)^2 ogf] A164687 7.80556 [(f(x)-1)*(42*f(x)*x-f(x)+x+1)^2 ogf] A164688 7.84538 [(f(x)-1)*(43*f(x)*x-f(x)+x+1)^2 ogf] A164690 7.92503 [(f(x)-1)*(44*f(x)*x-f(x)+x+1)^2 ogf] A164691 7.92503 [(f(x)-1)*(45*f(x)*x-f(x)+x+1)^2 ogf] A164692 7.92503 [(f(x)-1)*(46*f(x)*x-f(x)+x+1)^2 ogf] A164693 8.08433 [(f(x)-1)*(47*f(x)*x-f(x)+x+1)^2 ogf] A164694 8.08433 [(f(x)-1)*(48*f(x)*x-f(x)+x+1)^2 ogf] A164695 8.08433 [(f(x)-1)*(49*f(x)*x-f(x)+x+1)^2 ogf] A164696 4.76830 [(x^2+1)*(x^4+1)*(x+1)^2/(x^2-x+1)/(x^6-2*x^4-3*x^3-2*x^2+1) ogf] A164697 4.39515 [(x^2+1)*(x^4+1)*(x+1)^2/(3*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x+1) ogf] A164703 10.0249 [{a(n+2)-8*a(n),a(0)=1,a(1)=16} ogf] A164703 15.5148 [-(16*x+1)/(8*x^2-1) ogf] A164703 17.2591 [1/16*(-1+(32*x^2+64*x+1)^(1/2))/(x+2) revogf] A164703 18.7820 [-16*(1+x+8*x^2)/(16*x+1)/(8*x^2-1) lgdogf] A164703 9.44376 [(f(x)+15)*(8*f(x)*x^2-f(x)+16*x+1) ogf] A164706 13.4257 [(4*f(x)*x-f(x)+x+1)^3 ogf] A164706 4.41514 [(x^2+1)*(x^4+1)*(x+1)^2/(6*x^8-3*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x+1) ogf] A164736 23.2129 [x^8-x^5-x^3+3*x ogf_with_Euler_transform] A164736 6.24139 [x^10*(x^2+1)*(x^2-x+1)/(x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A164736 8.38201 [-x*(6+14*x^5-x^7+11*x^8-5*x^9+5*x^10-10*x^4+8*x^2+4*x^3-6*x-2*x^6)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A164737 10.3257 [{-a(n+2)+8*a(n),a(0)=5,a(1)=12} ogf] A164737 15.9802 [-(12*x+5)/(8*x^2-1) ogf] A164737 16.8753 [1/8*(-5+(25+48*x+32*x^2)^(1/2))/(3+2*x) revogf] A164737 17.7875 [-4*(3+20*x+24*x^2)/(12*x+5)/(8*x^2-1) lgdogf] A164737 9.32178 [(215*f(x)-751)*(8*f(x)*x^2-f(x)+12*x+5) ogf] A164741 12.5534 [(5*f(x)*x-f(x)+x+1)^3 ogf] A164741 4.10078 [(x^2+1)*(x^4+1)*(x+1)^2/(10*x^8-4*x^7-4*x^6-4*x^5-4*x^4-4*x^3-4*x^2-4*x+1) ogf] A164742 12.3645 [(6*f(x)*x-f(x)+x+1)^3 ogf] A164742 4.03906 [(x^2+1)*(x^4+1)*(x+1)^2/(15*x^8-5*x^7-5*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x+1) ogf] A164749 3.48388 [-2*(4*x^8-12*x^7-7*x^6+52*x^5-62*x^4+50*x^3-31*x^2+6*x+4)/(2*x-1)^3/(x-1)^6 ogf] A164754 11.9968 [(2*x^3-4*x^2-5*x-1)/(x-1)^3 ogf] A164754 19.8142 [-2*(-4-9*x+x^2)/(x-1)/(2*x^3-4*x^2-5*x-1) lgdogf] A164754 6.17748 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=25,a(3)=50} ogf] A164754 6.46704 [(47296*f(x)-418321)*(f(x)*x^3-3*f(x)*x^2-2*x^3+3*f(x)*x+4*x^2-f(x)+5*x+1) ogf] A164755 5.16272 [2*(-20-69*x-24*x^6+12*x^8-27*x^5+69*x^3+41*x^4-33*x^2-6*x^7)/(x-1)/(4*x^8+4*x^7-5*x^6-28*x^5-29*x^4+22*x^3+53*x^2+32*x+4) lgdogf] A164755 5.91790 [2*(4*x^8+4*x^7-5*x^6-28*x^5-29*x^4+22*x^3+53*x^2+32*x+4)/(x-1)^2 ogf] A164760 4.48581 [-2*(4*x^6+8*x^5+7*x^4-2*x^3-17*x^2+12*x+4)/(2*x-1)^3/(x-1)^4 ogf] A164760 5.57420 [-2*(-26+3*x+32*x^6+29*x^5-98*x^3-21*x^4+109*x^2+4*x^7)/(x-1)/(2*x-1)/(4*x^6+8*x^5+7*x^4-2*x^3-17*x^2+12*x+4) lgdogf] A164765 5.71807 [(x^6-x^5+4*x^4+10*x^3-5*x^2+8*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A164765 7.22377 [-(10+8*x+16*x^6+2*x^8+62*x^5+82*x^3-7*x^4+44*x^2-x^7)/(x-1)/(x^2+x+1)/(x^6-x^5+4*x^4+10*x^3-5*x^2+8*x+1) lgdogf] A164769 11.9218 [(7*f(x)*x-f(x)+x+1)^3 ogf] A164769 3.89445 [(x^2+1)*(x^4+1)*(x+1)^2/(21*x^8-6*x^7-6*x^6-6*x^5-6*x^4-6*x^3-6*x^2-6*x+1) ogf] A164777 12.5332 [(8*f(x)*x-f(x)+x+1)^3 ogf] A164777 4.09417 [(x^2+1)*(x^4+1)*(x+1)^2/(28*x^8-7*x^7-7*x^6-7*x^5-7*x^4-7*x^3-7*x^2-7*x+1) ogf] A164779 11.7177 [(9*f(x)*x-f(x)+x+1)^3 ogf] A164779 3.82777 [(x^2+1)*(x^4+1)*(x+1)^2/(36*x^8-8*x^7-8*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x+1) ogf] A164780 4.54878 [(x^2+1)*(x^4+1)*(x+1)^2/(45*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1) ogf] A164780 5.78074 [-(20*f(x)*x+f(x)-31*x-1)*(10*f(x)*x-f(x)+x+1)^2 ogf] A164781 4.30195 [(x^2+1)*(x^4+1)*(x+1)^2/(55*x^8-10*x^7-10*x^6-10*x^5-10*x^4-10*x^3-10*x^2-10*x+1) ogf] A164781 5.78074 [-(22*f(x)*x+f(x)-34*x-1)*(11*f(x)*x-f(x)+x+1)^2 ogf] A164783 12.2898 [(35*x+1)/(7*x-1)/(x-1) ogf] A164783 12.5808 [-1/14*(-1-8*x+(1+156*x+36*x^2)^(1/2))/(-5+x) revogf] A164783 13.1799 [-(-43+14*x+245*x^2)/(x-1)/(35*x+1)/(7*x-1) lgdogf] A164783 6.21244 [(330*f(x)+1519)*(7*f(x)*x^2-8*f(x)*x+f(x)-35*x-1) ogf] A164783 6.81123 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=1,a(1)=43} ogf] A164784 12.8295 [(24*x+1)/(6*x-1)/(x-1) ogf] A164784 13.1404 [-1/12*(-1-7*x+(1+110*x+25*x^2)^(1/2))/(-4+x) revogf] A164784 13.7661 [-(-31+12*x+144*x^2)/(x-1)/(6*x-1)/(24*x+1) lgdogf] A164784 6.55733 [(205*f(x)+756)*(6*f(x)*x^2-7*f(x)*x+f(x)-24*x-1) ogf] A164784 7.11035 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=1,a(1)=31} ogf] A164785 12.9061 [(15*x+1)/(5*x-1)/(x-1) ogf] A164785 13.5233 [-1/10*(-1-6*x+(1+72*x+16*x^2)^(1/2))/(-3+x) revogf] A164785 14.5376 [-(5*x+3)*(15*x-7)/(x-1)/(15*x+1)/(5*x-1) lgdogf] A164785 6.59647 [(116*f(x)+325)*(5*f(x)*x^2-6*f(x)*x+f(x)-15*x-1) ogf] A164785 7.15278 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=21} ogf] A164786 12.9939 [(48*x+1)/(8*x-1)/(x-1) ogf] A164786 13.3169 [-1/16*(-1-9*x+(1+210*x+49*x^2)^(1/2))/(-6+x) revogf] A164786 13.9510 [-(-57+16*x+384*x^2)/(x-1)/(8*x-1)/(48*x+1) lgdogf] A164786 6.56836 [(497*f(x)+2752)*(8*f(x)*x^2-9*f(x)*x+f(x)-48*x-1) ogf] A164786 7.20146 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=1,a(1)=57} ogf] A164787 22.7884 [x^16+x^3+x+3 ogf_with_Euler_transform] A164815 3.88743 [(x^2+1)*(x^4+1)*(x+1)^2/(66*x^8-11*x^7-11*x^6-11*x^5-11*x^4-11*x^3-11*x^2-11*x+1) ogf] A164815 7.37469 [(f(x)-1)*(12*f(x)*x-f(x)+x+1)^2 ogf] A164826 5.8176 [(3668*f(x)-3253)*(f(x)*x^4-12*f(x)*x^2-x^3+12*x^2+f(x)-x-2) ogf] A164826 8.51019 [-(-1-24*x+x^6-24*x^5+8*x^3+15*x^4-15*x^2)/(x^3-12*x^2+x+2)/(x^4-12*x^2+1) lgdogf] A164826 9.46446 [(x^3-12*x^2+x+2)/(x^4-12*x^2+1) ogf] A164827 13.5413 [(x-2)/(10*x^2+x-1) ogf] A164827 16.9496 [-(-1-40*x+10*x^2)/(x-2)/(10*x^2+x-1) lgdogf] A164827 6.84504 [(902*f(x)-1803)*(10*f(x)*x^2+f(x)*x-f(x)-x+2) ogf] A164827 7.50480 [{-a(n+2)+a(n+1)+10*a(n),a(0)=2,a(1)=1} ogf] A164828 9.31482 [-(10*x^4-109*x^3-x-1)/(x^2+1)/(x^4-12*x^2+1) ogf] A164835 3.97528 [(x^2+1)*(x^4+1)*(x+1)^2/(78*x^8-12*x^7-12*x^6-12*x^5-12*x^4-12*x^3-12*x^2-12*x+1) ogf] A164835 7.54135 [(f(x)-1)*(13*f(x)*x-f(x)+x+1)^2 ogf] A164845 11.4839 [(x^2-x+3)/(x-1)^4 ogf] A164845 26.8081 [-(11-x+2*x^2)/(x-1)/(x^2-x+3) lgdogf] A164845 3.94222 [{(3*n+12)*a(n+4)+(-23-4*n)*a(n+3)+(5+2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=3,a(1)=11,a(2)=27,a(3)=54} ogf] A164845 5.86953 [(5778*f(x)+6283)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+x-3) ogf] A164849 4.27454 [-(x-1)*(x+1)/(10*x+1)/(10*x-1)/(x^2+x-1) ogf] A164849 5.85325 [(7870301*f(x)-19602)*(100*f(x)*x^4+100*f(x)*x^3-101*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A164852 4.8332 [(32578*f(x)-19777)*(10*f(x)*x^4+10*f(x)*x^3-11*f(x)*x^2+11*x^3-f(x)*x+10*x^2+f(x)-11*x-1) ogf] A164854 2.83310 [-(x-1)*(x+1)/(10*x^2-1)/(x^2+x-1) ogf] A164854 5.60044 [(6731*f(x)-162)*(10*f(x)*x^4+10*f(x)*x^3-11*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A164856 3.25662 [-(101*x^3+100*x^2-101*x-1)/(10*x+1)/(10*x-1)/(x^2+x-1) ogf] A164860 4.08509 [(x^2+1)*(x^4+1)*(x+1)^2/(91*x^8-13*x^7-13*x^6-13*x^5-13*x^4-13*x^3-13*x^2-13*x+1) ogf] A164860 7.74967 [(f(x)-1)*(14*f(x)*x-f(x)+x+1)^2 ogf] A164867 4.11905 [(x^2+1)*(x^4+1)*(x+1)^2/(105*x^8-14*x^7-14*x^6-14*x^5-14*x^4-14*x^3-14*x^2-14*x+1) ogf] A164867 7.87467 [(f(x)-1)*(15*f(x)*x-f(x)+x+1)^2 ogf] A164868 4.22802 [(x^2+1)*(x^4+1)*(x+1)^2/(120*x^8-15*x^7-15*x^6-15*x^5-15*x^4-15*x^3-15*x^2-15*x+1) ogf] A164868 8.08299 [(f(x)-1)*(16*f(x)*x-f(x)+x+1)^2 ogf] A164870 12.5455 [-(2*x-1)^2/(6*x^3-10*x^2+6*x-1) ogf] A164870 12.6231 [-2*(x-1)*(6*x^2-3*x+1)/(2*x-1)/(6*x^3-10*x^2+6*x-1) lgdogf] A164870 6.88335 [{a(n+3)-6*a(n+2)+10*a(n+1)-6*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A164870 6.9448 [(f(x)-1)*(6*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A164871 5.45288 [(x-1)*(18*x^5-80*x^4+97*x^3-51*x^2+12*x-1)/(2*x-1)/(36*x^5-90*x^4+99*x^3-51*x^2+12*x-1) ogf] A164892 4.29340 [(x^2+1)*(x^4+1)*(x+1)^2/(136*x^8-16*x^7-16*x^6-16*x^5-16*x^4-16*x^3-16*x^2-16*x+1) ogf] A164892 8.20799 [(f(x)-1)*(17*f(x)*x-f(x)+x+1)^2 ogf] A164897 14.4189 [-(3*x^2+2*x+3)/(x-1)^3 ogf] A164897 23.9996 [-(11+10*x+3*x^2)/(x-1)/(3*x^2+2*x+3) lgdogf] A164897 7.71536 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=11,a(2)=27} ogf] A164897 7.78364 [(37*f(x)-90)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+2*x+3) ogf] A164900 9.08059 [-(x^5+3*x^4+2*x^2+3*x+3)/(x-1)^3/(x+1)^3 ogf] A164900 9.60058 [-(3+22*x+x^6+6*x^5+20*x^3+5*x^4+15*x^2)/(x-1)/(x+1)/(x^5+3*x^4+2*x^2+3*x+3) lgdogf] A164906 10.1531 [-(5*f(x)+2)*(4*f(x)*x^2-f(x)+4*x+1) ogf] A164906 11.2637 [{a(n+2)-4*a(n),a(0)=1,a(1)=4} ogf] A164906 16.0684 [-1/2*ln(3)+1/2*ln(2+2*x+(1+4*x^2+8*x)^(1/2)) revegf] A164906 17.5823 [-(4*x+1)/(2*x-1)/(2*x+1) ogf] A164906 17.6753 [-4*(1+2*x+4*x^2)/(4*x+1)/(2*x+1)/(2*x-1) lgdogf] A164907 14.6252 [-(3*x+1)/(x+1)/(3*x-1) ogf] A164907 16.1276 [1/6*(-2*x-1+(1+16*x+16*x^2)^(1/2))/(1+x) revogf] A164907 17.4352 [-(5+6*x+9*x^2)/(-1+3*x)/(3*x+1)/(x+1) lgdogf] A164907 7.65274 [(16*f(x)+9)*(3*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A164907 8.02605 [{a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=5} ogf] A164908 16.1659 [-4*f(x)*x+f(x)-2*x-1 ogf] A164908 16.4401 [-(2*x+1)/(4*x-1) ogf] A164908 18.6170 [-1/4-x+1/4*(1+16*x+16*x^2)^(1/2) revogf] A164908 31.3549 [-6/(2*x+1)/(-1+4*x) lgdogf] A164908 8.44840 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=6} ogf] A164909 3.87730 [-(171*x^8+19*x^7+19*x^6+19*x^5+19*x^4+19*x^3+19*x^2+19*x+1)/(323*x^6+323*x^4+323*x^2-1) ogf] A164909 9.19062 [-(18*f(x)*x-f(x)+x+1)^2 ogf] A164911 3.92062 [-(190*x^8+20*x^7+20*x^6+20*x^5+20*x^4+20*x^3+20*x^2+20*x+1)/(360*x^6+360*x^4+360*x^2-1) ogf] A164911 9.29331 [-(19*f(x)*x-f(x)+x+1)^2 ogf] A164913 14.9090 [1/(10*x-1)/(x^2-x-1) ogf] A164913 17.4751 [-(-9-22*x+30*x^2)/(10*x-1)/(x^2-x-1) lgdogf] A164913 5.57466 [{a(n+3)-9*a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=9,a(2)=92} ogf] A164913 5.62357 [-(853211*f(x)+54300)*(10*f(x)*x^3-11*f(x)*x^2-9*f(x)*x+f(x)-1) ogf] A164916 5.45312 [-(128*x^7+192*x^6+128*x^5-112*x^4+24*x^3+20*x^2+8*x-1)/(2*x-1)^2/(2*x+1)^2/(4*x^2+1)^2 ogf] A164938 33.8322 [[8-2*x] ogf_with_Euler_transform] A164938 35.3148 [-4*(x+2)/(x-1)/(x+1) lgdogf] A164938 5.34914 [{(n+2)*a(n+3)-8*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=3,a(2)=24} ogf] A164938 7.79114 [3*x*(x+1)^2/(x-1)^6 ogf] A164954 3.98560 [-(210*x^8+21*x^7+21*x^6+21*x^5+21*x^4+21*x^3+21*x^2+21*x+1)/(399*x^6+399*x^4+399*x^2-1) ogf] A164954 9.44734 [-(20*f(x)*x-f(x)+x+1)^2 ogf] A164956 4.00726 [-(231*x^8+22*x^7+22*x^6+22*x^5+22*x^4+22*x^3+22*x^2+22*x+1)/(440*x^6+440*x^4+440*x^2-1) ogf] A164956 9.49868 [-(21*f(x)*x-f(x)+x+1)^2 ogf] A164957 4.11556 [-(253*x^8+23*x^7+23*x^6+23*x^5+23*x^4+23*x^3+23*x^2+23*x+1)/(483*x^6+483*x^4+483*x^2-1) ogf] A164957 9.7554 [-(22*f(x)*x-f(x)+x+1)^2 ogf] A164959 4.13723 [-(276*x^8+24*x^7+24*x^6+24*x^5+24*x^4+24*x^3+24*x^2+24*x+1)/(528*x^6+528*x^4+528*x^2-1) ogf] A164959 9.80675 [-(23*f(x)*x-f(x)+x+1)^2 ogf] A164963 4.18055 [-(300*x^8+25*x^7+25*x^6+25*x^5+25*x^4+25*x^3+25*x^2+25*x+1)/(575*x^6+575*x^4+575*x^2-1) ogf] A164963 9.90944 [-(24*f(x)*x-f(x)+x+1)^2 ogf] A164964 10.0121 [-(25*f(x)*x-f(x)+x+1)^2 ogf] A164964 4.22387 [-(325*x^8+26*x^7+26*x^6+26*x^5+26*x^4+26*x^3+26*x^2+26*x+1)/(624*x^6+624*x^4+624*x^2-1) ogf] A164965 17.1245 [-1/(x-1)/(x^2-x+1) ogf] A164965 19.1483 [x^5-x^2-x+2 ogf_with_Euler_transform] A164965 24.6649 [-(2-4*x+3*x^2)/(x-1)/(x^2-x+1) lgdogf] A164965 5.65721 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A164965 6.40007 [(f(x)-2)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A164969 10.1148 [-(26*f(x)*x-f(x)+x+1)^2 ogf] A164969 4.26719 [-(351*x^8+27*x^7+27*x^6+27*x^5+27*x^4+27*x^3+27*x^2+27*x+1)/(675*x^6+675*x^4+675*x^2-1) ogf] A164970 10.2688 [-(27*f(x)*x-f(x)+x+1)^2 ogf] A164970 4.33217 [-(378*x^8+28*x^7+28*x^6+28*x^5+28*x^4+28*x^3+28*x^2+28*x+1)/(728*x^6+728*x^4+728*x^2-1) ogf] A164973 6.06641 [(f(x)-1)^2*(4245696*x^5+295*f(x)*x-9*f(x)-295*x+9) ogf] A164974 10.3202 [-(28*f(x)*x-f(x)+x+1)^2 ogf] A164974 4.35384 [-(406*x^8+29*x^7+29*x^6+29*x^5+29*x^4+29*x^3+29*x^2+29*x+1)/(783*x^6+783*x^4+783*x^2-1) ogf] A164983 10.4229 [-(29*f(x)*x-f(x)+x+1)^2 ogf] A164983 4.39716 [-(435*x^8+30*x^7+30*x^6+30*x^5+30*x^4+30*x^3+30*x^2+30*x+1)/(840*x^6+840*x^4+840*x^2-1) ogf] A164985 5.17815 [-3*(2+18*x+26244*x^6+19683*x^5+1458*x^3+4131*x^4+405*x^2+19683*x^7)/(729*x^5+486*x^4+243*x^3+27*x^2+6*x+1)/(81*x^3-1) lgdogf] A164985 6.64740 [(729*x^5+486*x^4+243*x^3+27*x^2+6*x+1)/(81*x^3-1)^2 ogf] A164991 3.78384 [{-8*a(n)*n+4*a(n+1)*n+(2*n+6)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A164991 5.00341 [4*f(x)^2*x^2-4*f(x)^2*x-4*f(x)*x^2+f(x)^2+8*f(x)*x+2*x^2-3*f(x)-3*x+2 ogf] A164992 10.4742 [-(30*f(x)*x-f(x)+x+1)^2 ogf] A164992 4.41881 [-(465*x^8+31*x^7+31*x^6+31*x^5+31*x^4+31*x^3+31*x^2+31*x+1)/(899*x^6+899*x^4+899*x^2-1) ogf] A165020 14.7954 [-f(x)*(x^4+f(x)*x-f(x)+2) ogf] A165020 24.1779 [-(x^4+2)/(x-1) ogf] A165020 32.4226 [(-2-4*x^3+3*x^4)/(x-1)/(x^4+2) lgdogf] A165020 9.17864 [{-a(n+2)+a(n+1),a(0)=2,a(1)=2,a(2)=2,a(3)=2,a(4)=3} ogf] A165023 3.17056 [-6*(819200*x^6-1047040*x^5+147232*x^4+108160*x^3-28906*x^2+1690*x-21)/(x-1)/(4*x-1)/(64*x-1)/(16*x-1) ogf] A165024 14.0498 [-(x^2+2)/(x-1) ogf] A165024 21.5086 [(-2-2*x+x^2)/(x-1)/(x^2+2) lgdogf] A165024 6.85765 [{-a(n+3)+a(n+2),a(0)=2,a(1)=2,a(2)=3} ogf] A165024 7.68057 [-(f(x)-2)*(f(x)*x+x^2-f(x)+2) ogf] A165025 6.89569 [x*(2-8*x^5+22*x^7-13*x^9-7*x^10+3*x^11-13*x^4+3*x^12+6*x^2+8*x+16*x^6-x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^10-3*x^8+2*x^6-x^3+x^2-1) lgdogf] A165025 7.95069 [(x^10-3*x^8+2*x^6-x^3+x^2-1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A165026 5.79189 [-(x^11-2*x^10-2*x^9+6*x^8+2*x^7-5*x^6-2*x^5+x^4+2*x^3-x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A165027 8.09062 [(x^7-x^6-2*x^5+x^4+x^2-1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A165027 9.59823 [x*(2+4*x^5+x^7+x^8+7*x^4-x^2+x^3+5*x-2*x^6)/(x-1)/(x+1)/(x^2+x+1)/(x^7-x^6-2*x^5+x^4+x^2-1) lgdogf] A165059 8.85083 [(5*x^24-5*x^23+5*x^21-5*x^18+5*x^16-5*x^13+x^11-x^8+4*x^6-6)/(x-1) ogf] A165063 14.3041 [2*(1+x+10*x^5+11*x^3-20*x^4-2*x^2)/(x-1)/(5*x^5-5*x^4+x^3-x^2+4*x-6) lgdogf] A165063 14.3666 [(5*x^5-5*x^4+x^3-x^2+4*x-6)/(x-1) ogf] A165066 5.65560 [-(x^14-x^8+x^5-x^4+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A165130 10.6009 [-(-189+868*x+448*x^3-1136*x^2)/(x-1)/(28*x-31)/(2*x-1)/(-1+4*x) lgdogf] A165130 11.2878 [x*(28*x-31)/(x-1)/(2*x-1)/(4*x-1) ogf] A165130 5.41813 [(28327779*f(x)-253144430)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-28*x^2-f(x)+31*x) ogf] A165130 5.88927 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=0,a(1)=31,a(2)=189} ogf] A165131 10.4742 [-(31*f(x)*x-f(x)+x+1)^2 ogf] A165131 4.41881 [-(496*x^8+32*x^7+32*x^6+32*x^5+32*x^4+32*x^3+32*x^2+32*x+1)/(960*x^6+960*x^4+960*x^2-1) ogf] A165133 10.4041 [-3*(28*x^2-39*x+10)/(x-1)/(2*x-1)/(4*x-1) ogf] A165133 5.49339 [(20927*f(x)+367266)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+84*x^2-f(x)-117*x+30) ogf] A165133 5.86899 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=30,a(1)=93,a(2)=315} ogf] A165133 8.98840 [-(31-224*x-624*x^3+224*x^4+590*x^2)/(x-1)/(-1+4*x)/(2*x-1)/(28*x^2-39*x+10) lgdogf] A165134 4.00485 [(f(x)-1)^2 ogf] A165140 10.8336 [-(32*f(x)*x-f(x)+x+1)^2 ogf] A165140 4.46577 [-(528*x^8+33*x^7+33*x^6+33*x^5+33*x^4+33*x^3+33*x^2+33*x+1)/(1023*x^6+1023*x^4+1023*x^2-1) ogf] A165145 15.1846 [-(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x-1)^3 ogf] A165145 16.3393 [3*(-1-3*x^8+2*x^9)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) lgdogf] A165145 28.7123 [-x^17+x^8+3 ogf_with_Euler_transform] A165147 12.5566 [-(x-1)/(7*x-1)/(3*x-1) ogf] A165147 12.8484 [-1/2*(-1-10*x+(1+16*x+16*x^2)^(1/2))/(1+21*x) revogf] A165147 14.4544 [-3*(3-14*x+7*x^2)/(x-1)/(-1+3*x)/(7*x-1) lgdogf] A165147 6.631 [(16*f(x)+11)*(21*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A165147 7.02570 [{-a(n+2)+10*a(n+1)-21*a(n),a(0)=1,a(1)=9} ogf] A165148 13.2577 [-(2*x-1)/(8*x-1)/(4*x-1) ogf] A165148 13.5806 [-1/4*(-1-12*x+(1+16*x+16*x^2)^(1/2))/(1+16*x) revogf] A165148 14.2123 [-2*(5-32*x+32*x^2)/(8*x-1)/(2*x-1)/(-1+4*x) lgdogf] A165148 6.84739 [(284*f(x)+341)*(32*f(x)*x^2-12*f(x)*x+f(x)+2*x-1) ogf] A165148 7.33073 [{-a(n+2)+12*a(n+1)-32*a(n),a(0)=1,a(1)=10} ogf] A165149 12.3416 [-(3*x-1)/(9*x-1)/(5*x-1) ogf] A165149 12.6284 [-1/6*(-1-14*x+(1+16*x+16*x^2)^(1/2))/(1+15*x) revogf] A165149 13.2157 [-(11-90*x+135*x^2)/(-1+3*x)/(9*x-1)/(5*x-1) lgdogf] A165149 6.82418 [{-a(n+2)+14*a(n+1)-45*a(n),a(0)=1,a(1)=11} ogf] A165149 9.03001 [(64*f(x)+57)*(45*f(x)*x^2-14*f(x)*x+f(x)+3*x-1) ogf] A165150 11.8075 [-(4*x-1)/(10*x-1)/(6*x-1) ogf] A165150 12.0753 [-1/8*(-1-16*x+(1+16*x+16*x^2)^(1/2))/(1+15*x) revogf] A165150 12.0753 [-12*(1-10*x+20*x^2)/(6*x-1)/(-1+4*x)/(10*x-1) lgdogf] A165150 6.52884 [{-a(n+2)+16*a(n+1)-60*a(n),a(0)=1,a(1)=12} ogf] A165150 8.72307 [(61*f(x)+83)*(60*f(x)*x^2-16*f(x)*x+f(x)+4*x-1) ogf] A165151 11.8075 [-(5*x-1)/(11*x-1)/(7*x-1) ogf] A165151 12.0753 [-1/2*(-1-18*x+(1+16*x+16*x^2)^(1/2))/(5+77*x) revogf] A165151 12.3498 [-(13-154*x+385*x^2)/(7*x-1)/(5*x-1)/(11*x-1) lgdogf] A165151 6.52884 [{-a(n+2)+18*a(n+1)-77*a(n),a(0)=1,a(1)=13} ogf] A165151 8.75728 [(80*f(x)+89)*(77*f(x)*x^2-18*f(x)*x+f(x)+5*x-1) ogf] A165152 10.7785 [-1/12*(-1-20*x+(1+16*x+16*x^2)^(1/2))/(1+16*x) revogf] A165152 10.7903 [-(6*x-1)/(12*x-1)/(8*x-1) ogf] A165152 11.2684 [-2*(7-96*x+288*x^2)/(6*x-1)/(8*x-1)/(12*x-1) lgdogf] A165152 5.96641 [{-a(n+2)+20*a(n+1)-96*a(n),a(0)=1,a(1)=14} ogf] A165152 8.1457 [(22*f(x)+27)*(96*f(x)*x^2-20*f(x)*x+f(x)+6*x-1) ogf] A165154 10.2854 [-900*f(x)*x^2-91*f(x)*x+f(x)-x ogf] A165154 15.9424 [-x/(9*x+1)/(100*x-1) ogf] A165154 6.59422 [1/1800/x*(-91*x-1+(11881*x^2+182*x+1)^(1/2)) revogf] A165154 7.59162 [{-a(n+2)+91*a(n+1)+900*a(n),a(0)=0,a(1)=1} ogf] A165154 9.67153 [-(91+1800*x)/(9*x+1)/(100*x-1) lgdogf] A165155 10.5705 [-1100*f(x)*x^2+111*f(x)*x-f(x)+x ogf] A165155 11.6715 [-(-111+2200*x)/(100*x-1)/(11*x-1) lgdogf] A165155 17.8029 [x/(100*x-1)/(11*x-1) ogf] A165155 7.86642 [{a(n+2)-111*a(n+1)+1100*a(n),a(0)=0,a(1)=1} ogf] A165155 8.55913 [-1/2200*(-111*x-1+(7921*x^2+222*x+1)^(1/2))/x revogf] A165157 15.9203 [-(-3-5*x+4*x^3+2*x^4-4*x^2)/(x-1)/(x+1)/(x^3+x^2-2*x-1) lgdogf] A165157 9.97694 [x*(x^3+x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A165166 10.8336 [-(33*f(x)*x-f(x)+x+1)^2 ogf] A165166 4.46577 [-(561*x^8+34*x^7+34*x^6+34*x^5+34*x^4+34*x^3+34*x^2+34*x+1)/(1088*x^6+1088*x^4+1088*x^2-1) ogf] A165167 10.8336 [-(34*f(x)*x-f(x)+x+1)^2 ogf] A165167 4.46577 [-(595*x^8+35*x^7+35*x^6+35*x^5+35*x^4+35*x^3+35*x^2+35*x+1)/(1155*x^6+1155*x^4+1155*x^2-1) ogf] A165168 10.9363 [-(35*f(x)*x-f(x)+x+1)^2 ogf] A165168 4.50811 [-(630*x^8+36*x^7+36*x^6+36*x^5+36*x^4+36*x^3+36*x^2+36*x+1)/(1224*x^6+1224*x^4+1224*x^2-1) ogf] A165169 9.52832 [-(36*f(x)*x-f(x)+x+1)^2 ogf] A165170 9.52832 [-(37*f(x)*x-f(x)+x+1)^2 ogf] A165171 9.62862 [-(38*f(x)*x-f(x)+x+1)^2 ogf] A165172 9.67877 [-(39*f(x)*x-f(x)+x+1)^2 ogf] A165173 9.77907 [-(40*f(x)*x-f(x)+x+1)^2 ogf] A165174 9.77907 [-(41*f(x)*x-f(x)+x+1)^2 ogf] A165175 9.82922 [-(42*f(x)*x-f(x)+x+1)^2 ogf] A165176 9.87937 [-(43*f(x)*x-f(x)+x+1)^2 ogf] A165177 9.97967 [-(44*f(x)*x-f(x)+x+1)^2 ogf] A165178 9.97967 [-(45*f(x)*x-f(x)+x+1)^2 ogf] A165179 9.97967 [-(46*f(x)*x-f(x)+x+1)^2 ogf] A165180 10.1803 [-(47*f(x)*x-f(x)+x+1)^2 ogf] A165181 10.1803 [-(48*f(x)*x-f(x)+x+1)^2 ogf] A165182 10.1803 [-(49*f(x)*x-f(x)+x+1)^2 ogf] A165183 4.76830 [(x^2+x+1)*(x^6+x^3+1)/(x^8-2*x^7+x^6-2*x^5+x^4-2*x^3+x^2-2*x+1) ogf] A165184 3.96896 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(3*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x+1) ogf] A165185 3.98701 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(6*x^9-3*x^8-3*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x+1) ogf] A165187 13.6048 [-12*(2+14*x+3*x^3+16*x^2)/(x-1)/(9*x^3+33*x^2+17*x+1) lgdogf] A165187 4.03659 [{(-6*n^2-54*n-120)*a(n+1)+(7*n^2+30*n+56)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=24,a(2)=180} ogf] A165187 6.86597 [-(9*x^3+33*x^2+17*x+1)/(x-1)^7 ogf] A165188 11.3041 [1/(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A165188 20.3280 [-3*x*(2+3*x^2+3*x)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A165188 32.8601 [[x^2+3*x] ogf_with_Euler_transform] A165189 12.9248 [-2*(1+3*x+x^2+3*x^3+x^4+6*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A165189 28.0132 [[x^5+2*x+2] ogf_with_Euler_transform] A165189 7.56318 [-1/(x^2+x+1)/(x^2-x+1)/(x+1)^3/(x-1)^5 ogf] A165190 14.3041 [-x^3*(9*x^3+9*x^2+4+9*x+9*x^4)/(x-1)/(x+1)/(1+x^2)/(x^4+x^3+x^2+x+1) lgdogf] A165190 23.4968 [1/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A165190 33.1513 [[x^4+x^3] ogf_with_Euler_transform] A165192 13.3217 [(x^2+x+1)/(x^3-x+1) ogf] A165192 17.9947 [-(-2-2*x+2*x^3+x^4+4*x^2)/(x^2+x+1)/(x^3-x+1) lgdogf] A165192 7.43211 [(41*f(x)-46)*(f(x)*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A165192 7.51116 [{-a(n+3)+a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A165201 5.5405 [-f(x)^2*x^2-4*f(x)^2*x+2*f(x)*x^2+f(x)^2+3*f(x)*x-x^2-f(x) ogf] A165202 10.7152 [(x+1)/(x^2-x+1)^2 ogf] A165202 19.7273 [2*x^5-2*x^2-3*x+3 ogf_with_Euler_transform] A165202 26.2245 [-3*(-1+x+x^2)/(x+1)/(x^2-x+1) lgdogf] A165202 5.2712 [(36*f(x)+121)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A165203 4.89137 [-f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2*x-5*f(x)*x^2-4*f(x)*x-x^2+f(x)-2*x-1 ogf] A165204 4.91675 [(7896*f(x)+3181)*(f(x)*x^4-3*f(x)*x^3+8*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+8*x-1) ogf] A165204 9.13109 [-(x^3-2*x^2+8*x-1)/(x^4-3*x^3+8*x^2-3*x+1) ogf] A165205 5.85118 [4*f(x)^2*x^2-f(x)^2*x+4*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+1 ogf] A165206 10.5617 [-(-3-23*x-5*x^3+x^4+24*x^2)/(x^2-3*x+1)/(x^3-4*x^2+9*x-1) lgdogf] A165206 3.7114 [-(1775*f(x)+113)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-4*x^2+f(x)+9*x-1) ogf] A165206 6.99455 [-(x^3-4*x^2+9*x-1)/(x^2-3*x+1)^2 ogf] A165207 17.3911 [-2*(2*x^2+1)/(x-1)/(x^2+1) ogf] A165207 23.1590 [-(1+2*x+2*x^4+x^2)/(x-1)/(2*x^2+1)/(1+x^2) lgdogf] A165207 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=4} ogf] A165207 8.93057 [-(2*f(x)-1)*(f(x)*x^3-f(x)*x^2+f(x)*x+4*x^2-f(x)+2) ogf] A165211 11.4559 [-x*(x^2-x+1)/(x-1)/(x^4+1) ogf] A165211 15.1653 [x*(x^6-x^4-x^2+x+1) ogf_with_Euler_transform] A165211 17.3692 [-x*(2+3*x^5-6*x^4-4*x^2+8*x^3-x)/(x-1)/(x^2-x+1)/(x^4+1) lgdogf] A165213 3.70552 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(10*x^9-4*x^8-4*x^7-4*x^6-4*x^5-4*x^4-4*x^3-4*x^2-4*x+1) ogf] A165214 3.64975 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(15*x^9-5*x^8-5*x^7-5*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x+1) ogf] A165215 4.11385 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(21*x^9-6*x^8-6*x^7-6*x^6-6*x^5-6*x^4-6*x^3-6*x^2-6*x+1) ogf] A165215 6.14913 [-(14*f(x)*x+f(x)-22*x-1)*(7*f(x)*x-f(x)+x+1)^2 ogf] A165216 4.32482 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(28*x^9-7*x^8-7*x^7-7*x^6-7*x^5-7*x^4-7*x^3-7*x^2-7*x+1) ogf] A165216 6.46447 [-(16*f(x)*x+f(x)-25*x-1)*(8*f(x)*x-f(x)+x+1)^2 ogf] A165219 4.04342 [(x+1)*(x^2+x+1)*(x^6+x^3+1)/(36*x^9-8*x^8-8*x^7-8*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x+1) ogf] A165219 8.56964 [(f(x)-1)*(9*f(x)*x-f(x)+x+1)^2 ogf] A165220 15.8654 [-2*(307+418*x+43*x^2)/(x-1)/(43*x^2+250*x+91) lgdogf] A165220 4.86133 [(288096*f(x)+33175843)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-43*x^3-4*f(x)*x-250*x^2+f(x)-91*x) ogf] A165220 9.40701 [x*(43*x^2+250*x+91)/(x-1)^4 ogf] A165222 4.61384 [-(28327779*f(x)+724012102)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+108*x^2-f(x)-139*x+34) ogf] A165222 5.36309 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=34,a(1)=99,a(2)=325} ogf] A165222 7.78629 [-(99-736*x-2224*x^3+864*x^4+2006*x^2)/(x-1)/(2*x-1)/(-1+4*x)/(108*x^2-139*x+34) lgdogf] A165222 9.36539 [-(108*x^2-139*x+34)/(x-1)/(2*x-1)/(4*x-1) ogf] A165224 11.0917 [-(9*x-1)/(49*x^2-18*x+1) ogf] A165224 12.4385 [-(9-98*x+441*x^2)/(9*x-1)/(49*x^2-18*x+1) lgdogf] A165224 5.6055 [-(64*f(x)+17)*(49*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A165224 6.20608 [{a(n+2)-18*a(n+1)+49*a(n),a(0)=1,a(1)=9} ogf] A165225 12.4178 [-(5*x-1)/(5*x^2-10*x+1) ogf] A165225 14.3447 [-5*(1-2*x+5*x^2)/(5*x-1)/(5*x^2-10*x+1) lgdogf] A165225 14.7222 [-1/10*(-1-10*x+(1+80*x^2)^(1/2))/(1+x) revogf] A165225 6.20893 [-(76*f(x)-51)*(5*f(x)*x^2-10*f(x)*x+f(x)+5*x-1) ogf] A165225 6.88218 [{a(n+2)-10*a(n+1)+5*a(n),a(0)=1,a(1)=5} ogf] A165229 3.90961 [-(6*x-1)/(6*x^2-12*x+1) ogf] A165229 8.1842 [-(115*f(x)-79)*(6*f(x)*x^2-12*f(x)*x+f(x)+6*x-1) ogf] A165230 15.7602 [-(7*x-1)/(7*x^2-14*x+1) ogf] A165230 7.71242 [-(162*f(x)-113)*(7*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A165230 8.73454 [{a(n+2)-14*a(n+1)+7*a(n),a(0)=1,a(1)=7} ogf] A165231 11.4560 [-(8*x-1)/(8*x^2-16*x+1) ogf] A165231 13.2216 [-8*(1-2*x+8*x^2)/(8*x-1)/(8*x^2-16*x+1) lgdogf] A165231 5.60615 [-(217*f(x)-153)*(8*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A165231 6.34912 [{a(n+2)-16*a(n+1)+8*a(n),a(0)=1,a(1)=8} ogf] A165232 10.2767 [-1/18*(-1-18*x+(1+288*x^2)^(1/2))/(1+x) revogf] A165232 10.2767 [-9*(1-2*x+9*x^2)/(9*x-1)/(9*x^2-18*x+1) lgdogf] A165232 4.37897 [-(280*f(x)-199)*(9*f(x)*x^2-18*f(x)*x+f(x)+9*x-1) ogf] A165232 4.95933 [{a(n+2)-18*a(n+1)+9*a(n),a(0)=1,a(1)=9} ogf] A165232 8.94835 [-(9*x-1)/(9*x^2-18*x+1) ogf] A165233 12.9223 [f(x)*x^2+f(x)-x-1 egf] A165233 14.1830 [(x+1)/(x^2+1) egf] A165233 22.2137 [-(-1+2*x+x^2)/(x+1)/(1+x^2) lgdegf] A165246 11.5615 [-(60*x-7)/(10*x-1)/(x-1) ogf] A165246 12.3498 [-1/20*(-7-11*x+(49-86*x+81*x^2)^(1/2))/(6+x) revogf] A165246 12.6370 [-(17-140*x+600*x^2)/(x-1)/(60*x-7)/(10*x-1) lgdogf] A165246 5.90374 [-(47*f(x)-40)*(10*f(x)*x^2-11*f(x)*x+f(x)+60*x-7) ogf] A165246 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=7,a(1)=17} ogf] A165247 10.2114 [-(80*x-9)/(10*x-1)/(x-1) ogf] A165247 10.6403 [-1/20*(-9-11*x+(81-122*x+81*x^2)^(1/2))/(8+x) revogf] A165247 11.1352 [-(19-180*x+800*x^2)/(x-1)/(80*x-9)/(10*x-1) lgdogf] A165247 5.15943 [-(29*f(x)+100)*(10*f(x)*x^2-11*f(x)*x+f(x)+80*x-9) ogf] A165247 5.76641 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=9,a(1)=19} ogf] A165248 5.43821 [-5*x*(x^10+3*x^9+33*x^8+4*x^7+102*x^6+30*x^5+118*x^4+6*x^3+57*x^2+7*x+9)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A165259 4.40446 [-(3325*f(x)+396)*(1296*f(x)*x^2-97*f(x)*x+f(x)+36*x-1) ogf] A165259 5.01198 [{a(n+2)-97*a(n+1)+1296*a(n),a(0)=1,a(1)=61} ogf] A165259 8.68942 [-(61-2592*x+46656*x^2)/(81*x-1)/(36*x-1)/(16*x-1) lgdogf] A165259 8.72084 [-(36*x-1)/(81*x-1)/(16*x-1) ogf] A165259 8.87045 [-1/72*(-1-97*x+(1+50*x+4225*x^2)^(1/2))/(1+36*x) revogf] A165264 10.2769 [-(10*f(x)*x-f(x)+x+1)^2 ogf] A165266 10.2769 [-(11*f(x)*x-f(x)+x+1)^2 ogf] A165269 9.28664 [-(12*f(x)*x-f(x)+x+1)^2 ogf] A165270 9.49651 [-(13*f(x)*x-f(x)+x+1)^2 ogf] A165281 5.99265 [(1901*x^4-2774*x^3+2616*x^2-1274*x+251)/(x-1)^6 ogf] A165282 9.75885 [-(14*f(x)*x-f(x)+x+1)^2 ogf] A165283 10.7509 [(16*x+1)/(16*x-1)^2 ogf] A165283 12.5781 [-1/32*(-1-32*x+(1+128*x)^(1/2))/(-1+16*x) revogf] A165283 17.1901 [-16*(3+16*x)/(16*x-1)/(16*x+1) lgdogf] A165283 5.78892 [(16*f(x)+65)*(256*f(x)*x^2-32*f(x)*x+f(x)-16*x-1) ogf] A165283 6.12549 [{-a(n+2)+32*a(n+1)-256*a(n),a(0)=1,a(1)=48} ogf] A165300 4.17184 [(100*x^7-200*x^6+200*x^5-190*x^4+110*x^3+11*x^2+x+1)/(x-1)/(10*x^2+1)/(10*x^2-1)/(x^2+1) ogf] A165308 9.91625 [-(15*f(x)*x-f(x)+x+1)^2 ogf] A165310 13.3945 [-(4*x-1)/(9*x^2-7*x+1) ogf] A165310 14.0569 [-1/2*(-1-7*x+(1-2*x+13*x^2)^(1/2))/(4+9*x) revogf] A165310 15.1382 [-3*(1-6*x+12*x^2)/(4*x-1)/(9*x^2-7*x+1) lgdogf] A165310 6.77251 [-(7*f(x)+2)*(9*f(x)*x^2-7*f(x)*x+f(x)+4*x-1) ogf] A165310 7.35065 [{a(n+2)-7*a(n+1)+9*a(n),a(0)=1,a(1)=3} ogf] A165311 13.1708 [-(5*x-1)/(16*x^2-9*x+1) ogf] A165311 13.8065 [-1/2*(-1-9*x+(1-2*x+17*x^2)^(1/2))/(5+16*x) revogf] A165311 14.8420 [-4*(1-8*x+20*x^2)/(5*x-1)/(16*x^2-9*x+1) lgdogf] A165311 6.73178 [-(9*f(x)+7)*(16*f(x)*x^2-9*f(x)*x+f(x)+5*x-1) ogf] A165311 7.29951 [{a(n+2)-9*a(n+1)+16*a(n),a(0)=1,a(1)=4} ogf] A165312 12.4291 [-(6*x-1)/(25*x^2-11*x+1) ogf] A165312 13.0042 [-1/2*(-1-11*x+(1-2*x+21*x^2)^(1/2))/(6+25*x) revogf] A165312 13.6234 [-5*(1-10*x+30*x^2)/(6*x-1)/(25*x^2-11*x+1) lgdogf] A165312 6.28137 [-(11*f(x)+14)*(25*f(x)*x^2-11*f(x)*x+f(x)+6*x-1) ogf] A165312 6.95437 [{a(n+2)-11*a(n+1)+25*a(n),a(0)=1,a(1)=5} ogf] A165314 13.2577 [-(7*x-1)/(9*x-1)/(4*x-1) ogf] A165314 5.93329 [2*(3+492480*x^5+344*x-355680*x^4+91580*x^3-9754*x^2)/(4*x-1)/(9*x-1)/(13680*x^4-4940*x^3+380*x^2-7*x+1) lgdogf] A165314 6.70013 [-(13*f(x)+23)*(36*f(x)*x^2-13*f(x)*x+f(x)+7*x-1) ogf] A165314 7.41800 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=1,a(1)=6} ogf] A165321 10.1786 [-(16*f(x)*x-f(x)+x+1)^2 ogf] A165322 12.1536 [-(8*x-1)/(49*x^2-15*x+1) ogf] A165322 12.7146 [-1/2*(-1-15*x+(1-2*x+29*x^2)^(1/2))/(8+49*x) revogf] A165322 13.3201 [-7*(1-14*x+56*x^2)/(8*x-1)/(49*x^2-15*x+1) lgdogf] A165322 6.14216 [-(15*f(x)+34)*(49*f(x)*x^2-15*f(x)*x+f(x)+8*x-1) ogf] A165322 6.80025 [{a(n+2)-15*a(n+1)+49*a(n),a(0)=1,a(1)=7} ogf] A165323 11.4385 [-(9*x-1)/(64*x^2-17*x+1) ogf] A165323 11.9556 [-1/2*(-1-17*x+(1-2*x+33*x^2)^(1/2))/(9+64*x) revogf] A165323 12.5249 [-8*(1-16*x+72*x^2)/(9*x-1)/(64*x^2-17*x+1) lgdogf] A165323 5.78074 [-(17*f(x)+47)*(64*f(x)*x^2-17*f(x)*x+f(x)+9*x-1) ogf] A165323 6.40011 [{a(n+2)-17*a(n+1)+64*a(n),a(0)=1,a(1)=8} ogf] A165324 11.5615 [-(10*x-1)/(81*x^2-19*x+1) ogf] A165324 12.0753 [-1/2*(-1-19*x+(1-2*x+37*x^2)^(1/2))/(10+81*x) revogf] A165324 12.6370 [-9*(1-18*x+90*x^2)/(10*x-1)/(81*x^2-19*x+1) lgdogf] A165324 5.90374 [-(19*f(x)+62)*(81*f(x)*x^2-19*f(x)*x+f(x)+10*x-1) ogf] A165324 6.60656 [{a(n+2)-19*a(n+1)+81*a(n),a(0)=1,a(1)=9} ogf] A165326 10.5232 [{a(n+2)+a(n+1),a(0)=1,a(1)=1} ogf] A165326 12.8419 [f(x)*(f(x)*x+f(x)-2*x-1) ogf] A165326 20.4776 [(2*x+1)/(x+1) ogf] A165326 28.8003 [-1/4+1/4*x+1/4*(1+6*x+x^2)^(1/2) revogf] A165326 61.4407 [1/(x+1)/(2*x+1) lgdogf] A165329 10.336 [-(17*f(x)*x-f(x)+x+1)^2 ogf] A165334 7.24896 [-(3*x^29-3*x^28+3*x^27-3*x^26+6*x^24-6*x^23+3*x^16-3*x^15-x-2)/(x-1)^2 ogf] A165341 9.19062 [-(18*f(x)*x-f(x)+x+1)^2 ogf] A165348 9.29331 [-(19*f(x)*x-f(x)+x+1)^2 ogf] A165351 14.4234 [3*x*(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A165351 20.6490 [-(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(1+x^2+x) lgdogf] A165351 35.0649 [-x^2+2*x+1 ogf_with_Euler_transform] A165351 7.65066 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=3,a(2)=3} ogf] A165351 8.71116 [-(f(x)-3)*(f(x)*x^4-2*f(x)*x^2-3*x^3-3*x^2+f(x)-3*x) ogf] A165355 13.6647 [(x^3+5*x^2+2*x+1)/(x-1)^2/(x+1)^2 ogf] A165355 15.5616 [-(2+14*x+x^4+10*x^3+9*x^2)/(x-1)/(x+1)/(x^3+5*x^2+2*x+1) lgdogf] A165355 8.301 [-(34*f(x)+75)*(f(x)*x^4-2*f(x)*x^2-x^3-5*x^2+f(x)-2*x-1) ogf] A165358 9.44734 [-(20*f(x)*x-f(x)+x+1)^2 ogf] A165364 9.49868 [-(21*f(x)*x-f(x)+x+1)^2 ogf] A165365 9.7554 [-(22*f(x)*x-f(x)+x+1)^2 ogf] A165366 9.80675 [-(23*f(x)*x-f(x)+x+1)^2 ogf] A165367 13.7936 [(x^3+2*x^2+5*x+1)/(x-1)^2/(x+1)^2 ogf] A165367 15.9968 [-(5+8*x+x^4+4*x^3+18*x^2)/(x-1)/(x+1)/(x^3+2*x^2+5*x+1) lgdogf] A165367 8.87709 [(2*f(x)-9)*(f(x)*x^4-2*f(x)*x^2-x^3-2*x^2+f(x)-5*x-1) ogf] A165368 9.90944 [-(24*f(x)*x-f(x)+x+1)^2 ogf] A165369 10.0121 [-(25*f(x)*x-f(x)+x+1)^2 ogf] A165372 14.8969 [(33*x^2+22*x+9)/(x-1)^2 ogf] A165372 24.3641 [-8*(5+11*x)/(x-1)/(33*x^2+22*x+9) lgdogf] A165372 7.80313 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=9,a(1)=40,a(2)=104} ogf] A165372 8.62452 [(2*f(x)+7)*(f(x)*x^2-2*f(x)*x-33*x^2+f(x)-22*x-9) ogf] A165373 6.22802 [-(68*x^5-171*x^4+204*x^3+254*x^2+120*x+37)/(x-1)^5 ogf] A165373 8.12114 [-(305+988*x+169*x^4-276*x^3+1374*x^2)/(x-1)/(68*x^5-171*x^4+204*x^3+254*x^2+120*x+37) lgdogf] A165374 4.02598 [-(128*x^8+1344*x^7+3104*x^6-3008*x^5+2932*x^4+4620*x^3+1609*x^2+782*x+105)/(x-1)^2/(2*x-1)^3 ogf] A165378 12.1474 [(94-60*x+3*x^4-12*x^3+29*x^2)/(x-1)/(3*x^4-18*x^3+25*x^2+5*x-33) lgdogf] A165378 5.35396 [-(2497068*f(x)-795718969)*(f(x)*x^3-3*x^4-3*f(x)*x^2+18*x^3+3*f(x)*x-25*x^2-f(x)-5*x+33) ogf] A165378 9.90482 [(3*x^4-18*x^3+25*x^2+5*x-33)/(x-1)^3 ogf] A165381 7.13014 [-(x^6+13*x^5+58*x^4+249*x^3+268*x^2+174*x+37)/(x-1)^3 ogf] A165381 7.20493 [(-285+20*x^5-884*x+3*x^6-7*x^4-232*x^3-1015*x^2)/(x-1)/(x^6+13*x^5+58*x^4+249*x^3+268*x^2+174*x+37) lgdogf] A165382 4.42620 [-(2*x^10-58*x^9+218*x^8+2666*x^7+9321*x^6+18104*x^5+21137*x^4+14754*x^3+6097*x^2+1382*x+105)/(x-1)^3/(x+1)^3 ogf] A165386 3.37463 [-(4*x^10-16*x^9+9*x^8+60*x^7-98*x^6+8*x^5+108*x^4-88*x^3+14*x^2+4*x+3)/(2*x-1)^3/(x-1)^6 ogf] A165392 8.72766 [(x^6-5*x^5+4*x^4+8*x^3-9*x^2-6*x-1)/(x-1)^3 ogf] A165392 9.48044 [(9-16*x^5+30*x+3*x^6+29*x^4-16*x^3-15*x^2)/(x-1)/(x^6-5*x^5+4*x^4+8*x^3-9*x^2-6*x-1) lgdogf] A165393 4.90263 [(x^10-2*x^9+5*x^8-12*x^7+3*x^6-12*x^5+19*x^4-6*x^3+41*x^2+22*x+3)/(x-1)^2 ogf] A165394 14.3074 [-(9+20*x+x^4+4*x^3+6*x^2)/(x-1)/(x+1)/(x^3-x^2+3*x+1) lgdogf] A165394 8.88203 [-(x+1)*(x^3-x^2+3*x+1)/(x-1)^5 ogf] A165395 3.79862 [(8*x^9-88*x^8+216*x^7-321*x^6+270*x^5-169*x^4+76*x^3-11*x^2-10*x-3)/(2*x-1)^3/(x-1)^4 ogf] A165402 11.5615 [(10*x+1)/(10*x-1)/(x-1) ogf] A165402 12.6370 [-(-21+20*x+100*x^2)/(x-1)/(10*x+1)/(10*x-1) lgdogf] A165402 12.6370 [-1/20*(-1-11*x+(1+62*x+81*x^2)^(1/2))/(x-1) revogf] A165402 6.03208 [(211*f(x)+230)*(10*f(x)*x^2-11*f(x)*x+f(x)-10*x-1) ogf] A165402 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=21} ogf] A165405 14.1355 [-(4*x+1)/(3*x+1)/(2*x-1) ogf] A165405 16.4792 [1/4*(-1+x+(1+14*x+25*x^2)^(1/2))/(2+3*x) revogf] A165405 16.4792 [-3*(1+4*x+8*x^2)/(2*x-1)/(3*x+1)/(4*x+1) lgdogf] A165405 7.14715 [-(7*f(x)+2)*(6*f(x)*x^2-f(x)*x-f(x)+4*x+1) ogf] A165405 7.75728 [{a(n+2)+a(n+1)-6*a(n),a(0)=1,a(1)=3} ogf] A165407 13.0383 [1/2*(-1-2*x-x^2+(5*x^3+3*x^2+3*x+1)^(1/2)*(1+x)^(1/2))/x^2 revogf] A165407 8.52167 [-f(x)^2*x^3-f(x)^2*x^2+f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A165409 10.0578 [1/4*(-1-4*x-4*x^2+(2*x+1)^(1/2)*(1+4*x)^(1/2)*(4*x^2+2*x+1)^(1/2))/x^2 revogf] A165409 7.55424 [-2*f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A165431 10.7245 [8*f(x)^2*x^3-4*f(x)^2*x+f(x)^2-1 ogf] A165431 18.9275 [-2*(-1+6*x^2)/(2*x-1)/(4*x^2+2*x-1) lgdogf] A165431 4.09483 [{(-n-4)*a(n+4)+(14+4*n)*a(n+3)+(-20-8*n)*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=16} ogf] A165433 3.97912 [{(2*n+5)*a(n+1)+(-2*n-5)*a(n+2)+2*a(n+4)-3*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=3} ogf] A165443 3.83764 [-(34277425*f(x)-3795984)*(1679616*f(x)*x^2-6817*f(x)*x+f(x)+1296*x-1) ogf] A165443 6.69190 [-(5521-3359232*x+2176782336*x^2)/(256*x-1)/(1296*x-1)/(6561*x-1) lgdogf] A165443 7.13803 [-1/2592*(-1-6817*x+(1+8450*x+39753025*x^2)^(1/2))/(1+1296*x) revogf] A165445 10.1148 [-(26*f(x)*x-f(x)+x+1)^2 ogf] A165453 17.3087 [-(-2*x^2-x-2)/(x^2+1) ogf_with_Euler_transform] A165456 10.2688 [-(27*f(x)*x-f(x)+x+1)^2 ogf] A165457 4.48218 [{(4*n^2+22*n+28)*a(n+1)-a(n+2),a(0)=1,a(1)=10} ogf] A165458 12.9195 [-(5*x+1)/(4*x+1)/(3*x-1) ogf] A165458 14.8051 [1/2/(5+12*x)*(-1+x+(1+18*x+49*x^2)^(1/2)) revogf] A165458 14.8051 [-4*(1+6*x+15*x^2)/(5*x+1)/(3*x-1)/(4*x+1) lgdogf] A165458 7.16018 [{a(n+2)+a(n+1)-12*a(n),a(0)=1,a(1)=4} ogf] A165458 8.66177 [-f(x)*(12*f(x)*x^2-f(x)*x-f(x)+5*x+1) ogf] A165470 12.1626 [-(6*x+1)/(5*x+1)/(4*x-1) ogf] A165470 13.7212 [1/4*(-1+x+(1+22*x+81*x^2)^(1/2))/(3+10*x) revogf] A165470 13.7212 [-5*(1+8*x+24*x^2)/(5*x+1)/(4*x-1)/(6*x+1) lgdogf] A165470 6.74070 [{a(n+2)+a(n+1)-20*a(n),a(0)=1,a(1)=5} ogf] A165470 8.17099 [-(29*f(x)-4)*(20*f(x)*x^2-f(x)*x-f(x)+6*x+1) ogf] A165478 10.5254 [x*(x+131070)/(x+1)/(x-1)^2 ogf] A165478 13.6742 [-(131071+393211*x+2*x^2)/(x+131070)/(x-1)/(x+1) lgdogf] A165478 4.05327 [-(590255278906943209501*f(x)+77365054538475919182135241)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-131070*x) ogf] A165478 5.39319 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=131070,a(2)=131071} ogf] A165479 3.82728 [-(10925566125076740941*f(x)+9710043046177910004593001)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-87380*x-43690) ogf] A165479 5.04230 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=43690,a(1)=131070,a(2)=174761} ogf] A165479 9.20768 [(x^2+87380*x+43690)/(x+1)/(x-1)^2 ogf] A165479 9.57380 [-(131070+218452*x+x^3+174761*x^2)/(x-1)/(x+1)/(x^2+87380*x+43690) lgdogf] A165491 13.3049 [-(7*x+1)/(6*x+1)/(5*x-1) ogf] A165491 14.5720 [1/2/(7+30*x)*(-1+x+(1+26*x+121*x^2)^(1/2)) revogf] A165491 14.5720 [-6*(1+10*x+35*x^2)/(5*x-1)/(7*x+1)/(6*x+1) lgdogf] A165491 6.72556 [-(23*f(x)-5)*(30*f(x)*x^2-f(x)*x-f(x)+7*x+1) ogf] A165491 7.37381 [{a(n+2)+a(n+1)-30*a(n),a(0)=1,a(1)=6} ogf] A165505 13.1047 [-(8*x+1)/(7*x+1)/(6*x-1) ogf] A165505 14.2078 [1/4*(-1+x+(1+30*x+169*x^2)^(1/2))/(4+21*x) revogf] A165505 14.2078 [-7*(1+12*x+48*x^2)/(6*x-1)/(7*x+1)/(8*x+1) lgdogf] A165505 6.55234 [-(67*f(x)-18)*(42*f(x)*x^2-f(x)*x-f(x)+8*x+1) ogf] A165505 7.26283 [{a(n+2)+a(n+1)-42*a(n),a(0)=1,a(1)=7} ogf] A165506 12.6993 [-(9*x+1)/(8*x+1)/(7*x-1) ogf] A165506 13.0042 [1/2/(9+56*x)*(-1+x+((1+9*x)*(25*x+1))^(1/2)) revogf] A165506 13.6234 [-8*(1+14*x+63*x^2)/(8*x+1)/(9*x+1)/(7*x-1) lgdogf] A165506 6.41943 [-(23*f(x)-7)*(56*f(x)*x^2-f(x)*x-f(x)+9*x+1) ogf] A165506 7.03816 [{a(n+2)+a(n+1)-56*a(n),a(0)=1,a(1)=8} ogf] A165510 13.0665 [-(10*x+1)/(9*x+1)/(8*x-1) ogf] A165510 14.0033 [-9*(1+16*x+80*x^2)/(10*x+1)/(9*x+1)/(8*x-1) lgdogf] A165510 14.3367 [1/4*(-1+x+(1+38*x+289*x^2)^(1/2))/(5+36*x) revogf] A165510 6.53325 [-(121*f(x)-40)*(72*f(x)*x^2-f(x)*x-f(x)+10*x+1) ogf] A165510 7.39910 [{a(n+2)+a(n+1)-72*a(n),a(0)=1,a(1)=9} ogf] A165511 12.2163 [-(11*x+1)/(10*x+1)/(9*x-1) ogf] A165511 12.4975 [-10*(1+18*x+99*x^2)/(9*x-1)/(11*x+1)/(10*x+1) lgdogf] A165511 13.0788 [1/2/(11+90*x)*(-1+x+(1+42*x+361*x^2)^(1/2)) revogf] A165511 6.17382 [-(77*f(x)-27)*(90*f(x)*x^2-f(x)*x-f(x)+11*x+1) ogf] A165511 6.83531 [{a(n+2)+a(n+1)-90*a(n),a(0)=1,a(1)=10} ogf] A165512 10.3202 [-(28*f(x)*x-f(x)+x+1)^2 ogf] A165515 10.4229 [-(29*f(x)*x-f(x)+x+1)^2 ogf] A165516 9.65516 [-(x^4-95*x^2+60*x+4)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A165517 6.93297 [x*(x^3+x^2-9*x-5)/(x-1)/(x^4-10*x^2+1) ogf] A165517 7.39576 [-2*(-7-49*x+x^7+x^6-19*x^5-9*x^4+99*x^3+31*x^2)/(x-1)/(x^3+x^2-9*x-5)/(x^4-10*x^2+1) lgdogf] A165518 12.3292 [-4*(x^2-10*x+1)/(x-1)/(x^2-34*x+1) ogf] A165518 12.7461 [-(25-68*x+x^4-20*x^3+318*x^2)/(x-1)/(x^2-10*x+1)/(x^2-34*x+1) lgdogf] A165518 6.4678 [(161703*f(x)-7256)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+4*x^2-f(x)-40*x+4) ogf] A165518 6.63085 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=4,a(1)=100,a(2)=3364} ogf] A165521 5.01867 [-(x^3-2*x^2+3*x-1)*(x-1)^3/(x^7-4*x^6+12*x^5-23*x^4+28*x^3-19*x^2+7*x-1) ogf] A165526 3.71585 [(4*x^10-127*x^9+692*x^8-1657*x^7+2305*x^6-2045*x^5+1196*x^4-461*x^3+113*x^2-16*x+1)/(x^2-3*x+1)/(x-1)^2/(2*x-1)^6 ogf] A165527 4.10149 [-(3*x^8-23*x^7+87*x^6-165*x^5+186*x^4-127*x^3+51*x^2-11*x+1)/(3*x-1)/(x^2-3*x+1)^2/(x-1)^4 ogf] A165528 5.05275 [(6*x^7-58*x^6+168*x^5-218*x^4+152*x^3-59*x^2+12*x-1)/(x-1)/(2*x^2-4*x+1)/(2*x-1)^4 ogf] A165529 4.19961 [-(2*x-1)*(14*x^8-82*x^7+260*x^6-447*x^5+438*x^4-249*x^3+81*x^2-14*x+1)/(3*x-1)^2/(x-1)^2/(x^2-3*x+1)^3 ogf] A165530 3.44985 [{-2*a(n+1)*n+(9*n-1)*a(n+2)+(-6*n+4)*a(n+3)+(n-1)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=22,a(5)=86} ogf] A165530 5.42844 [-f(x)*(4*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2+9*x^3-8*f(x)*x-15*x^2+f(x)+7*x-1) ogf] A165530 8.23055 [-2*(-1+8*x+4*x^5-20*x^4+42*x^3-27*x^2)/(2*x-1)/(x^2-4*x+1)/(4*x^3-11*x^2+6*x-1) lgdogf] A165530 9.22835 [-(x-1)*(3*x-1)^2/(x^2-4*x+1)/(2*x-1)^2 ogf] A165546 5.31456 [-x^4*f(x)^3-5*f(x)^2*x^3+11*f(x)^2*x^2-3*f(x)*x^2-10*f(x)*x+f(x)+9*x-1 ogf] A165547 10.4742 [-(30*f(x)*x-f(x)+x+1)^2 ogf] A165548 10.4742 [-(31*f(x)*x-f(x)+x+1)^2 ogf] A165553 12.6609 [-(5*x+1)/(3*x+1)/(x-1) ogf] A165553 14.1784 [1/2/(5+3*x)*(-1+2*x+(1+16*x+16*x^2)^(1/2)) revogf] A165553 15.6709 [-3*(1+2*x+5*x^2)/(x-1)/(5*x+1)/(3*x+1) lgdogf] A165553 6.33046 [-(4*f(x)-11)*(3*f(x)*x^2-2*f(x)*x-f(x)+5*x+1) ogf] A165553 6.94807 [{-a(n+2)-2*a(n+1)+3*a(n),a(0)=1,a(1)=3} ogf] A165563 13.3455 [-(-7-40*x+x^4-8*x^3-66*x^2)/(x-1)/(x^4-6*x^3-16*x^2-2*x-1) lgdogf] A165563 8.21223 [(x^4-6*x^3-16*x^2-2*x-1)/(x-1)^5 ogf] A165568 14.2536 [-(1+56*x+x^4+8*x^3+54*x^2)/(x-1)/(x^4+2*x^3+16*x^2+6*x-1) lgdogf] A165568 8.57594 [-(x^4+2*x^3+16*x^2+6*x-1)/(x-1)^5 ogf] A165618 4.34420 [x*(x-2)*(x^2-2*x+2)*(x^4-4*x^3+6*x^2-4*x+2)/(x-1)^9 ogf] A165618 4.74433 [{(n+10)*a(n+1)+(-2*n-13)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=8,a(2)=44} ogf] A165618 6.83496 [-(-44+112*x-140*x^4+196*x^3-182*x^2-17*x^6+64*x^5+2*x^7)/(x-1)/(x-2)/(x^2-2*x+2)/(x^4-4*x^3+6*x^2-4*x+2) lgdogf] A165622 15.5222 [-(7*x+1)/(4*x+1)/(x-1) ogf] A165622 7.84827 [-(2*f(x)-7)*(4*f(x)*x^2-3*f(x)*x-f(x)+7*x+1) ogf] A165622 8.51826 [{-a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=4} ogf] A165625 12.1104 [-(9*x+1)/(5*x+1)/(x-1) ogf] A165625 13.4104 [1/2/(9+5*x)*(-1+4*x+(1+28*x+36*x^2)^(1/2)) revogf] A165625 14.8220 [-5*(1+2*x+9*x^2)/(x-1)/(5*x+1)/(9*x+1) lgdogf] A165625 5.98868 [-(14*f(x)+11)*(5*f(x)*x^2-4*f(x)*x-f(x)+9*x+1) ogf] A165625 6.64596 [{-a(n+2)-4*a(n+1)+5*a(n),a(0)=1,a(1)=5} ogf] A165628 6.87213 [(f(x)-1)^2*(-x^4+f(x)-1) ogf] A165638 11.5922 [-(11*x+1)/(6*x+1)/(x-1) ogf] A165638 12.7493 [1/2/(11+6*x)*(-1+5*x+(1+34*x+49*x^2)^(1/2)) revogf] A165638 13.7055 [-6*(1+2*x+11*x^2)/(x-1)/(11*x+1)/(6*x+1) lgdogf] A165638 5.85978 [-(11*f(x)+7)*(6*f(x)*x^2-5*f(x)*x-f(x)+11*x+1) ogf] A165638 6.50293 [{-a(n+2)-5*a(n+1)+6*a(n),a(0)=1,a(1)=6} ogf] A165639 12.5039 [-(13*x+1)/(7*x+1)/(x-1) ogf] A165639 13.7246 [1/2/(13+7*x)*(-1+6*x+(1+40*x+64*x^2)^(1/2)) revogf] A165639 14.7540 [-7*(1+2*x+13*x^2)/(x-1)/(7*x+1)/(13*x+1) lgdogf] A165639 6.25196 [-(32*f(x)+17)*(7*f(x)*x^2-6*f(x)*x-f(x)+13*x+1) ogf] A165639 7.01439 [{-a(n+2)-6*a(n+1)+7*a(n),a(0)=1,a(1)=7} ogf] A165640 12.3909 [-(x^7-x^4-x^2-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A165640 7.64660 [-x*(-x^9+x^10-x^8-3*x^7-2*x^6-2+x^12+x^11-15*x^3-9*x^2-5*x-15*x^4-10*x^5)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^7-x^4-x^2-1) lgdogf] A165645 10.8336 [-(32*f(x)*x-f(x)+x+1)^2 ogf] A165649 10.8336 [-(33*f(x)*x-f(x)+x+1)^2 ogf] A165650 10.8336 [-(34*f(x)*x-f(x)+x+1)^2 ogf] A165651 10.9363 [-(35*f(x)*x-f(x)+x+1)^2 ogf] A165654 9.52832 [-(36*f(x)*x-f(x)+x+1)^2 ogf] A165662 12.6687 [-2*(4*x^4+3*x^3+4*x^2+2*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A165662 7.82006 [-(2+4*x^8+6*x^7+12*x^6+8*x+8*x^5+10*x^4+16*x^3+9*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(4*x^4+3*x^3+4*x^2+2*x+2) lgdogf] A165664 12.3431 [-(8*x^6+7*x^5+8*x^4+2*x^3+2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A165664 8.03866 [-x^2*(14*x^4+48*x^3+24*x^8+8*x^7+35*x^2+32*x+6+8*x^10+14*x^9)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(8*x^6+7*x^5+8*x^4+2*x^3+2) lgdogf] A165665 13.9355 [(2*x+1)/(4*x-1)/(2*x-1) ogf] A165665 14.2920 [-1/4*(-1-6*x+(1+20*x+4*x^2)^(1/2))/(-1+4*x) revogf] A165665 14.9892 [-8*(-1+2*x+2*x^2)/(2*x+1)/(2*x-1)/(4*x-1) lgdogf] A165665 7.20803 [(17*f(x)+47)*(8*f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A165665 7.64754 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=8} ogf] A165669 12.2382 [-(4*x^6+8*x^5+5*x^4+5*x^3+8*x^2+4*x+2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A165676 13.6117 [-(3*x-11)*(x^2-2*x+7)/(x-1)/(3*x^3-13*x^2+23*x-25) lgdogf] A165676 3.58089 [{(-37*n^2-284*n-420)*a(n+1)+(-22*n^2-374*n-891)*a(n+2)+(59*n^2+370*n+579)*a(n+3),a(0)=50,a(1)=154,a(2)=342} ogf] A165676 4.69387 [(7960*f(x)+271559)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+6*x^3-4*f(x)*x-26*x^2+f(x)+46*x-50) ogf] A165676 8.68366 [-2*(3*x^3-13*x^2+23*x-25)/(x-1)^4 ogf] A165677 6.21584 [-2*(12*x^4-63*x^3+137*x^2-163*x+137)/(x-1)^5 ogf] A165677 8.79331 [-6*(87-63*x+2*x^4-13*x^3+37*x^2)/(x-1)/(12*x^4-63*x^3+137*x^2-163*x+137) lgdogf] A165678 5.00435 [-12*(10*x^5-62*x^4+163*x^3-237*x^2+213*x-147)/(x-1)^6 ogf] A165678 6.89760 [-(-669+591*x+10*x^5-74*x^4+241*x^3-459*x^2)/(x-1)/(10*x^5-62*x^4+163*x^3-237*x^2+213*x-147) lgdogf] A165679 3.25287 [{(-n^2-18*n-81)*a(n+1)+(2*n^2+24*n+48)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=13068,a(1)=69264,a(2)=241128} ogf] A165679 4.03441 [-12*(60*x^6-430*x^5+1334*x^4-2341*x^3+2559*x^2-1851*x+1089)/(x-1)^7 ogf] A165679 5.11710 [-4*(1443+15*x^6-1497*x-125*x^5+463*x^4-1007*x^3+1443*x^2)/(x-1)/(60*x^6-430*x^5+1334*x^4-2341*x^3+2559*x^2-1851*x+1089) lgdogf] A165684 6.02918 [-x^4*(x^6-x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A165686 5.62601 [-x^9*(x^7+x^6-x^2-x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A165687 9.52832 [-(37*f(x)*x-f(x)+x+1)^2 ogf] A165688 9.62862 [-(38*f(x)*x-f(x)+x+1)^2 ogf] A165690 9.67877 [-(39*f(x)*x-f(x)+x+1)^2 ogf] A165692 9.77907 [-(40*f(x)*x-f(x)+x+1)^2 ogf] A165693 9.77907 [-(41*f(x)*x-f(x)+x+1)^2 ogf] A165694 9.82922 [-(42*f(x)*x-f(x)+x+1)^2 ogf] A165695 9.87937 [-(43*f(x)*x-f(x)+x+1)^2 ogf] A165699 9.97967 [-(44*f(x)*x-f(x)+x+1)^2 ogf] A165702 9.97967 [-(45*f(x)*x-f(x)+x+1)^2 ogf] A165703 9.97967 [-(46*f(x)*x-f(x)+x+1)^2 ogf] A165708 10.1803 [-(47*f(x)*x-f(x)+x+1)^2 ogf] A165709 10.1803 [-(48*f(x)*x-f(x)+x+1)^2 ogf] A165716 6.71375 [-2*x*(-5+26*x^3-22*x^2+8*x-4*x^5+7*x^4+2*x^7-4*x^6)/(2*x^4-2*x^3+x^2+2*x-1)/(2*x^5+11*x^4-4*x^3+6*x^2+2*x-1) lgdogf] A165716 7.81885 [(2*x^4-2*x^3+x^2+2*x-1)/(2*x^5+11*x^4-4*x^3+6*x^2+2*x-1) ogf] A165717 10.8216 [(x^3-3*x-6)/(x+1)^2/(x-1)^3 ogf] A165717 16.0316 [-(x-3)*(2*x^3+7*x^2+12*x+3)/(x-1)/(x+1)/(x^3-3*x-6) lgdogf] A165717 4.20838 [{(-n-6)*a(n+1)+(n+6)*a(n+2)+(n+4)*a(n+3)+(-n-4)*a(n+4),a(0)=6,a(1)=9,a(2)=21,a(3)=26} ogf] A165718 14.5313 [-(-5-15*x+2*x^4+4*x^3-4*x^2)/(x-1)/(x+1)/(x^3+x^2-2*x-3) lgdogf] A165718 9.76127 [(x^3+x^2-2*x-3)/(x+1)^2/(x-1)^3 ogf] A165719 10.4645 [(x^3-3*x-14)/(x+1)^2/(x-1)^3 ogf] A165719 15.4006 [-(-17-73*x+2*x^4+x^3-9*x^2)/(x-1)/(x+1)/(x^3-3*x-14) lgdogf] A165719 4.08116 [{(-n-6)*a(n+1)+(n+6)*a(n+2)+(n+4)*a(n+3)+(-n-4)*a(n+4),a(0)=14,a(1)=17,a(2)=45,a(3)=50} ogf] A165720 13.8970 [-(-8-28*x+2*x^4+7*x^3-3*x^2)/(x-1)/(x+1)/(x^3+2*x^2-2*x-6) lgdogf] A165720 9.66767 [(x^3+2*x^2-2*x-6)/(x+1)^2/(x-1)^3 ogf] A165721 10.4659 [-(-14+12*x+6*x^4-12*x^3-25*x^2+x^6-6*x^5+2*x^7)/(x-1)/(x^2+1)/(x^5-x^3-2*x-4) lgdogf] A165721 8.13390 [(x^5-x^3-2*x-4)/(x^2+1)^2/(x-1)^3 ogf] A165726 10.1803 [-(49*f(x)*x-f(x)+x+1)^2 ogf] A165734 13.7054 [-6*(5*x+1)/(x-1)/(x+1) ogf] A165734 15.5423 [-ln(36)+ln(30+x+(36+x^2+60*x)^(1/2)) revegf] A165734 16.4566 [-(5+2*x+5*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A165734 7.57402 [-(13*f(x)+1797)*(f(x)*x^2-f(x)+30*x+6) ogf] A165734 8.85577 [{a(n+2)-a(n),a(0)=6,a(1)=30} ogf] A165745 3.88239 [(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+1) ogf] A165746 12.5710 [-(7*x-1)/(3*x-1)/(x-1) ogf] A165746 14.9066 [-1/2*(-1-4*x+(1-20*x+4*x^2)^(1/2))/(7+3*x) revogf] A165746 16.0532 [-3*(-1-2*x+7*x^2)/(x-1)/(3*x-1)/(7*x-1) lgdogf] A165746 6.21641 [-(22*f(x)-13)*(3*f(x)*x^2-4*f(x)*x+f(x)+7*x-1) ogf] A165746 6.89870 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=-3} ogf] A165747 13.9401 [-(3*x-1)/(x-1)^2 ogf] A165747 24.7842 [-1/2*(-1-2*x+(1-8*x)^(1/2))/(3+x) revogf] A165747 37.1764 [-(1+3*x)/(3*x-1)/(x-1) lgdogf] A165747 7.65007 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-1} ogf] A165747 9.95724 [f(x)*x^2-2*f(x)*x+f(x)+3*x-1 ogf] A165748 11.8418 [-(15*x+1)/(8*x+1)/(x-1) ogf] A165748 13.0103 [1/2/(15+8*x)*(-1+7*x+(1+46*x+81*x^2)^(1/2)) revogf] A165748 13.9861 [-8*(1+2*x+15*x^2)/(x-1)/(8*x+1)/(15*x+1) lgdogf] A165748 5.98595 [-(11*f(x)+5)*(8*f(x)*x^2-7*f(x)*x-f(x)+15*x+1) ogf] A165748 6.64294 [{-a(n+2)-7*a(n+1)+8*a(n),a(0)=1,a(1)=8} ogf] A165749 10.9960 [-(17*x+1)/(9*x+1)/(x-1) ogf] A165749 11.2473 [1/2/(17+9*x)*(-1+8*x+((2*x+1)*(50*x+1))^(1/2)) revogf] A165749 12.9344 [-9*(1+2*x+17*x^2)/(x-1)/(9*x+1)/(17*x+1) lgdogf] A165749 5.49799 [-(58*f(x)+23)*(9*f(x)*x^2-8*f(x)*x-f(x)+17*x+1) ogf] A165749 6.16848 [{-a(n+2)-8*a(n+1)+9*a(n),a(0)=1,a(1)=9} ogf] A165750 10.8235 [-(19*x+1)/(10*x+1)/(x-1) ogf] A165750 5.46995 [-(37*f(x)+13)*(10*f(x)*x^2-9*f(x)*x-f(x)+19*x+1) ogf] A165750 6.05601 [{-a(n+2)-9*a(n+1)+10*a(n),a(0)=1,a(1)=10} ogf] A165751 12.6624 [-(5*x-1)/(2*x-1)/(x-1) ogf] A165751 16.1612 [-1/2*(-1-3*x+(1-14*x+x^2)^(1/2))/(5+2*x) revogf] A165751 16.5756 [-2*(-1-2*x+5*x^2)/(x-1)/(2*x-1)/(5*x-1) lgdogf] A165751 6.40233 [-(7*f(x)-5)*(2*f(x)*x^2-3*f(x)*x+f(x)+5*x-1) ogf] A165751 6.94885 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=-2} ogf] A165752 12.4328 [-(9*x-1)/(4*x-1)/(x-1) ogf] A165752 14.5720 [-1/2*(-1-5*x+(1-26*x+9*x^2)^(1/2))/(9+4*x) revogf] A165752 15.6930 [-4*(-1-2*x+9*x^2)/(x-1)/(4*x-1)/(9*x-1) lgdogf] A165752 6.28628 [-(2*f(x)-1)*(4*f(x)*x^2-5*f(x)*x+f(x)+9*x-1) ogf] A165752 6.82290 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=-4} ogf] A165754 14.6529 [(2*x^2-3*x+3)/(x+1)/(x-1)^2 ogf] A165754 20.9760 [-2*x*(5+x^2-2*x)/(x-1)/(x+1)/(2*x^2-3*x+3) lgdogf] A165754 7.38697 [-(2508*f(x)+8101)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)+3*x-3) ogf] A165754 8.05247 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=0,a(2)=5} ogf] A165755 11.0060 [-(11*x-1)/(5*x-1)/(x-1) ogf] A165755 12.5276 [-1/2*(-1-6*x+(1-32*x+16*x^2)^(1/2))/(11+5*x) revogf] A165755 13.4443 [-5*(-1-2*x+11*x^2)/(x-1)/(5*x-1)/(11*x-1) lgdogf] A165755 5.50303 [-(44*f(x)-19)*(5*f(x)*x^2-6*f(x)*x+f(x)+11*x-1) ogf] A165755 6.17412 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=1,a(1)=-5} ogf] A165756 3.57857 [(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(3*x^10-2*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x+1) ogf] A165757 3.59484 [(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(6*x^10-3*x^9-3*x^8-3*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-3*x+1) ogf] A165758 11.9829 [-(13*x-1)/(6*x-1)/(x-1) ogf] A165758 13.5489 [-1/2*(-1-7*x+(1-38*x+25*x^2)^(1/2))/(13+6*x) revogf] A165758 14.5403 [-6*(-1-2*x+13*x^2)/(x-1)/(6*x-1)/(13*x-1) lgdogf] A165758 5.99146 [-(29*f(x)-11)*(6*f(x)*x^2-7*f(x)*x+f(x)+13*x-1) ogf] A165758 6.72212 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=1,a(1)=-6} ogf] A165759 14.2298 [-(15*x-1)/(7*x-1)/(x-1) ogf] A165759 7.11492 [-(74*f(x)-25)*(7*f(x)*x^2-8*f(x)*x+f(x)+15*x-1) ogf] A165759 7.98259 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=1,a(1)=-7} ogf] A165760 11.9698 [-(17*x-1)/(8*x-1)/(x-1) ogf] A165760 13.1518 [-1/2*(-1-9*x+((49*x-1)*(x-1))^(1/2))/(17+8*x) revogf] A165760 14.4349 [-8*(-1-2*x+17*x^2)/(x-1)/(8*x-1)/(17*x-1) lgdogf] A165760 6.05066 [-(23*f(x)-7)*(8*f(x)*x^2-9*f(x)*x+f(x)+17*x-1) ogf] A165760 6.71476 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=1,a(1)=-8} ogf] A165777 4.04165 [(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(10*x^10-4*x^9-4*x^8-4*x^7-4*x^6-4*x^5-4*x^4-4*x^3-4*x^2-4*x+1) ogf] A165782 9.04269 [(f(x)-1)*(6*f(x)*x-f(x)+x+1)^2 ogf] A165786 11.022 [-(7*f(x)*x-f(x)+x+1)^2 ogf] A165786 4.08508 [-(28*x^10+8*x^9+8*x^8+8*x^7+8*x^6+8*x^5+8*x^4+8*x^3+8*x^2+8*x+1)/(48*x^8+48*x^6+48*x^4+48*x^2-1) ogf] A165787 11.5873 [-(8*f(x)*x-f(x)+x+1)^2 ogf] A165787 4.29458 [-(36*x^10+9*x^9+9*x^8+9*x^7+9*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+1)/(63*x^8+63*x^6+63*x^4+63*x^2-1) ogf] A165788 10.8333 [-(9*f(x)*x-f(x)+x+1)^2 ogf] A165791 4.29956 [(2*x^8-5*x^7+2*x^6-x^5-19*x^4-15*x^3+14*x^2+3*x-1)/(9*x^9-15*x^8-11*x^7+24*x^6-17*x^5-65*x^4-25*x^3+21*x^2+4*x-1) ogf] A165796 10.2769 [-(10*f(x)*x-f(x)+x+1)^2 ogf] A165798 13.2265 [-65*(x+1)/(x-1)^3 ogf] A165798 34.3684 [[4-x] ogf_with_Euler_transform] A165798 35.6560 [-2*(x+2)/(x-1)/(x+1) lgdogf] A165798 6.21756 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=65,a(1)=260,a(2)=585} ogf] A165798 6.55364 [(236*f(x)-20865)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+65*x+65) ogf] A165799 6.14889 [-2*x*(1-6*x^3-x^2+4*x+72*x^10+208*x^8+180*x^7+66*x^6-4*x^5-60*x^4)/(4*x^9+16*x^7+22*x^6+3*x^5-x^4-9*x^3-x^2-x+1)/(6*x^3+x-1) lgdogf] A165799 7.50350 [-(6*x^3+x-1)/(4*x^9+16*x^7+22*x^6+3*x^5-x^4-9*x^3-x^2-x+1) ogf] A165800 10.4234 [{a(n+1)-50*a(n),a(0)=1} ogf] A165800 13.1534 [-50*f(x)*x+f(x)-1 ogf] A165800 25.1110 [-1/(50*x-1) ogf] A165800 36.1073 [1/50*ln(1+50*x) revegf] A165800 41.6623 [-50/(-1+50*x) lgdogf] A165804 9.84055 [x*(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(8*x^7-1) ogf] A165806 12.6143 [-(x^2+10*x+19)/(x-1)^3 ogf] A165806 22.9368 [-(67+22*x+x^2)/(x-1)/(x^2+10*x+19) lgdogf] A165806 6.46101 [(59300*f(x)-1206143)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10*x+19) ogf] A165806 6.85090 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=67,a(2)=145} ogf] A165807 10.2769 [-(11*f(x)*x-f(x)+x+1)^2 ogf] A165808 11.3623 [-(-4579-10995*x+x^3-2091*x^2)/(x-1)/(x^3-1047*x^2-2967*x-403) lgdogf] A165808 3.798 [(11244063084110741504*f(x)+23995250787973410165925)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-1047*x^2+f(x)-2967*x-403) ogf] A165808 8.31089 [-(x^3-1047*x^2-2967*x-403)/(x-1)^4 ogf] A165809 12.4574 [-2*(1354+2131*x+235*x^2)/(x-1)/(235*x^2+1264*x+361) lgdogf] A165809 3.76954 [(10860921940243000*f(x)+32774325628347784131)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-705*x^2+f(x)-3792*x-1083) ogf] A165809 8.42029 [3*(235*x^2+1264*x+361)/(x-1)^4 ogf] A165817 33.2959 [4*x*(1+x)^2/(2+3*x)^3 revogf] A165817 6.24347 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+6*n+2)*a(n+1),a(0)=1,a(1)=2} ogf] A165817 7.3377 [-27*f(x)^3*x+4*f(x)^3+27*f(x)^2*x-4*f(x)^2-9*f(x)*x+x ogf] A165873 9.28664 [-(12*f(x)*x-f(x)+x+1)^2 ogf] A165874 9.49651 [-(13*f(x)*x-f(x)+x+1)^2 ogf] A165875 9.75885 [-(14*f(x)*x-f(x)+x+1)^2 ogf] A165876 9.91625 [-(15*f(x)*x-f(x)+x+1)^2 ogf] A165879 10.1786 [-(16*f(x)*x-f(x)+x+1)^2 ogf] A165880 10.336 [-(17*f(x)*x-f(x)+x+1)^2 ogf] A165881 3.84724 [(19*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-36*x^5+2*x^4-36*x^3+2*x^2-36*x+2) ogf] A165881 9.19062 [-(18*f(x)*x-f(x)+x+1)^2 ogf] A165882 3.89022 [(20*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-38*x^5+2*x^4-38*x^3+2*x^2-38*x+2) ogf] A165882 9.29331 [-(19*f(x)*x-f(x)+x+1)^2 ogf] A165894 3.95471 [(21*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-40*x^5+2*x^4-40*x^3+2*x^2-40*x+2) ogf] A165894 9.44734 [-(20*f(x)*x-f(x)+x+1)^2 ogf] A165895 3.97619 [(22*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-42*x^5+2*x^4-42*x^3+2*x^2-42*x+2) ogf] A165895 9.49868 [-(21*f(x)*x-f(x)+x+1)^2 ogf] A165897 13.5009 [-3*(2+6*x+9*x^4+12*x^3+12*x^2)/(3*x^3-1)/(9*x^2+6*x+4) lgdogf] A165897 15.1776 [-(9*x^2+6*x+4)/(3*x^3-1) ogf] A165897 9.41396 [-(4*f(x)-7)*(3*f(x)*x^3+9*x^2-f(x)+6*x+4) ogf] A165897 9.78557 [{a(n+3)-3*a(n),a(0)=4,a(1)=6,a(2)=9} ogf] A165900 12.7601 [-(x^2+2*x-1)/(x-1)^3 ogf] A165900 6.65268 [-(32*f(x)-77)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x-1) ogf] A165900 6.94968 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-1,a(1)=-1,a(2)=1} ogf] A165910 5.93439 [(2*x^3-x^2+x-1)/(x^2+x-1)/(x+1)^2/(x^2-3*x+1)^2 ogf] A165910 7.00667 [-2*(-2-2*x+2*x^4-12*x^3+5*x^7-5*x^6-4*x^5+17*x^2)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(2*x^3-x^2+x-1) lgdogf] A165935 3.99431 [(x^4-236*x^3+1446*x^2-236*x+1)/(x+1)^6 ogf] A165939 4.08366 [(23*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-44*x^5+2*x^4-44*x^3+2*x^2-44*x+2) ogf] A165939 9.7554 [-(22*f(x)*x-f(x)+x+1)^2 ogf] A165942 11.6687 [-(2520413*x^2+16777500*x+3418)/(x-1)/(x^2+x+1) ogf] A165942 5.09038 [(465658476259006257318828372*f(x)-353999672877267116289809209175693)*(f(x)*x^3+2520413*x^2-f(x)+16777500*x+3418) ogf] A165942 8.24422 [{a(n+3)-a(n),a(0)=3418,a(1)=16777500,a(2)=2520413} ogf] A165943 5.03984 [-7*x*(3*x^10+5*x^9+51*x^8+6*x^7+146*x^6+42*x^5+162*x^4+8*x^3+75*x^2+9*x+11)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A165965 4.10516 [(24*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-46*x^5+2*x^4-46*x^3+2*x^2-46*x+2) ogf] A165965 9.80675 [-(23*f(x)*x-f(x)+x+1)^2 ogf] A165967 4.14814 [(25*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-48*x^5+2*x^4-48*x^3+2*x^2-48*x+2) ogf] A165967 9.90944 [-(24*f(x)*x-f(x)+x+1)^2 ogf] A165968 6.01999 [{-2*a(n)*n+(-2*n-2)*a(n+1)+a(n+2),a(0)=0,a(1)=1} ogf] A165973 10.0121 [-(25*f(x)*x-f(x)+x+1)^2 ogf] A165973 4.19112 [(26*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-50*x^5+2*x^4-50*x^3+2*x^2-50*x+2) ogf] A165976 17.0933 [1/4*(3-9*x+(1-6*x+17*x^2)^(1/2))*x revogf] A165979 10.1148 [-(26*f(x)*x-f(x)+x+1)^2 ogf] A165979 4.23411 [(27*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-52*x^5+2*x^4-52*x^3+2*x^2-52*x+2) ogf] A165980 10.2688 [-(27*f(x)*x-f(x)+x+1)^2 ogf] A165980 4.29859 [(28*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-54*x^5+2*x^4-54*x^3+2*x^2-54*x+2) ogf] A165983 9.17864 [-(4*x^11+x^10+x^9+x^8+2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^8+1) ogf] A165988 14.0660 [3*x*(x^2+4*x+1)/(x-1)^2/(x+1)^2 ogf] A165988 19.5412 [-2*(2+3*x+x^3+6*x^2)/(x-1)/(x+1)/(1+x^2+4*x) lgdogf] A165988 7.51805 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=3,a(2)=12} ogf] A165988 8.46695 [-(8*f(x)+39)*(f(x)*x^4-2*f(x)*x^2-3*x^3-12*x^2+f(x)-3*x) ogf] A165989 11.9749 [(534*x^2+125*x+534)/(x+1)/(x-1)^2 ogf] A165989 12.9125 [-(659+2795*x+534*x^3+784*x^2)/(x-1)/(x+1)/(534*x^2+125*x+534) lgdogf] A165989 5.94311 [-(822499*f(x)+1123819307)*(f(x)*x^3-f(x)*x^2-f(x)*x-534*x^2+f(x)-125*x-534) ogf] A165989 6.74218 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=534,a(1)=659,a(2)=1727} ogf] A165998 15.5826 [(x^2+6*x+1)/(x-1)^2/(x+1)^2 ogf] A165998 19.8056 [-2*(3+3*x+x^3+9*x^2)/(x-1)/(x+1)/(1+x^2+6*x) lgdogf] A165998 7.65695 [{(-n-4)*a(n+1)+(n+2)*a(n+3),a(0)=1,a(1)=6,a(2)=3} ogf] A165998 8.88207 [-(14*f(x)-131)*(f(x)*x^4-2*f(x)*x^2-x^2+f(x)-6*x-1) ogf] A166004 10.3202 [-(28*f(x)*x-f(x)+x+1)^2 ogf] A166004 4.32009 [(29*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-56*x^5+2*x^4-56*x^3+2*x^2-56*x+2) ogf] A166012 10.2770 [-(2*x^3+x^2-x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A166012 10.3017 [-2*(1+x+x^6+x^4-x^3-3*x^2+x^5)/(x-1)/(x+1)/(x^2+x-1)/(2*x^3+x^2-x-1) lgdogf] A166012 5.77613 [(f(x)-3)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+2*x^3-f(x)*x+x^2+f(x)-x-1) ogf] A166022 7.41626 [-(-2+8*x+11*x^4+4*x^3-14*x^2+4*x^5-21*x^6+12*x^7)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(3*x^3-2*x^2-x+1) lgdogf] A166022 8.20176 [x*(3*x^3-2*x^2-x+1)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A166023 11.0490 [{a(n+2)-6*a(n),a(0)=1,a(1)=5} ogf] A166023 17.2471 [-(5*x+1)/(6*x^2-1) ogf] A166023 18.2543 [1/2/(5+6*x)*(-1+(1+20*x+24*x^2)^(1/2)) revogf] A166023 20.4019 [-(5+12*x+30*x^2)/(5*x+1)/(6*x^2-1) lgdogf] A166023 9.68674 [-(31*f(x)+13)*(6*f(x)*x^2-f(x)+5*x+1) ogf] A166024 11.0987 [-2*(399545+20087863*x+399545*x^2)/(x-1)/(799090*x+20087863)/(x+1) lgdogf] A166024 13.1095 [-21*(799090*x+20087863)/(x-1)/(x+1) ogf] A166024 6.7975 [-(20087863*f(x)-8467262317347099)*(f(x)*x^2-f(x)+16780890*x+421845123) ogf] A166024 9.29278 [{-a(n+2)+a(n),a(0)=421845123,a(1)=16780890} ogf] A166024 9.88243 [1/2/(16780890+x)*(-421845123+(177953307798885129+67123560*x+4*x^2)^(1/2)) revogf] A166025 16.5401 [-(11*x+6)/(x^2+x-1) ogf] A166025 19.1442 [1/2/(11+x)*(-6-x+(36+56*x+5*x^2)^(1/2)) revogf] A166025 20.7395 [-(17+12*x+11*x^2)/(11*x+6)/(x^2+x-1) lgdogf] A166025 8.54881 [(29*f(x)+115)*(f(x)*x^2+f(x)*x-f(x)+11*x+6) ogf] A166025 9.16681 [{a(n+2)-a(n+1)-a(n),a(0)=6,a(1)=17} ogf] A166026 10.4229 [-(29*f(x)*x-f(x)+x+1)^2 ogf] A166026 4.36307 [(30*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-58*x^5+2*x^4-58*x^3+2*x^2-58*x+2) ogf] A166027 10.9963 [{-a(n+2)+6*a(n),a(0)=4,a(1)=1} ogf] A166027 17.1650 [-(x+4)/(6*x^2-1) ogf] A166027 22.2676 [-(1+48*x+6*x^2)/(x+4)/(6*x^2-1) lgdogf] A166027 23.0099 [(-2+(4+x+6*x^2)^(1/2))/(1+6*x) revogf] A166027 9.64061 [(2328*f(x)-9311)*(6*f(x)*x^2-f(x)+x+4) ogf] A166033 13.3539 [-(10*x^2-20*x-1)/(x+1)/(x-1)^2 ogf] A166033 15.5698 [-(-21-3*x+10*x^3-30*x^2)/(x-1)/(x+1)/(-1+10*x^2-20*x) lgdogf] A166033 6.83983 [-(901*f(x)+18395)*(f(x)*x^3-f(x)*x^2-f(x)*x+10*x^2+f(x)-20*x-1) ogf] A166033 7.37981 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=12} ogf] A166035 12.8146 [(2*x-1)/(4*x+1)/(3*x-1) ogf] A166035 14.9127 [1/4*(-1+x+(1-10*x+49*x^2)^(1/2))/(-1+6*x) revogf] A166035 15.2855 [-3*(1-8*x+8*x^2)/(4*x+1)/(3*x-1)/(2*x-1) lgdogf] A166035 6.40731 [-(37*f(x)-28)*(12*f(x)*x^2-f(x)*x-f(x)-2*x+1) ogf] A166035 7.10207 [{a(n+2)+a(n+1)-12*a(n),a(0)=1,a(1)=-3} ogf] A166036 10.8107 [(3*x-1)/(5*x+1)/(4*x-1) ogf] A166036 12.2682 [1/2/(-3+20*x)*(-1+x+(1-14*x+81*x^2)^(1/2)) revogf] A166036 12.2682 [-4*(1-10*x+15*x^2)/(5*x+1)/(4*x-1)/(3*x-1) lgdogf] A166036 5.52546 [-(7*f(x)-5)*(20*f(x)*x^2-f(x)*x-f(x)-3*x+1) ogf] A166036 5.99146 [{a(n+2)+a(n+1)-20*a(n),a(0)=1,a(1)=-4} ogf] A166048 4.96895 [x*(11*x^14-23*x^13+14*x^12+x^11-4*x^10-8*x^9+12*x^8-5*x^7+2*x^6-3*x^5+2*x^4-x^3+x-1)/(x-1)^3 ogf] A166049 4.52561 [(44*x^15-92*x^14+56*x^13+4*x^12-16*x^11-32*x^10+48*x^9-20*x^8+8*x^7-12*x^6+8*x^5-4*x^4+3*x^2-2*x-1)/(x-1)^3 ogf] A166060 14.0915 [(x+1)/(3*x-1)/(2*x-1) ogf] A166060 7.37347 [(5*f(x)+13)*(6*f(x)*x^2-5*f(x)*x+f(x)-x-1) ogf] A166060 7.73316 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=1,a(1)=6} ogf] A166067 16.0383 [-(68*x+1)/(x^2+x-1) ogf] A166067 18.5584 [1/2/(68+x)*(-1-x+(1+274*x+5*x^2)^(1/2)) revogf] A166067 20.6794 [-(69+2*x+68*x^2)/(68*x+1)/(x^2+x-1) lgdogf] A166067 8.19737 [(71*f(x)+4690)*(f(x)*x^2+f(x)*x-f(x)+68*x+1) ogf] A166067 8.88872 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=69} ogf] A166072 4.04546 [-(792488396*x^7+16780909*x^6+34381154*x^5+873583*x^4+1657004*x^3+437755524*x^2+808491852*x+809265896)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A166075 10.4742 [-(30*f(x)*x-f(x)+x+1)^2 ogf] A166075 4.38456 [(31*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-60*x^5+2*x^4-60*x^3+2*x^2-60*x+2) ogf] A166076 12.9061 [1/2/(4-5*x+2*x^2)*(7-5*x+(1-10*x+x^2)^(1/2))*x revogf] A166076 6.38367 [-1/2*(-5+46*x+28*x^3+75*x^2+(-(-1+10*x+7*x^2)*(5+3*x)^2)^(1/2))/(2*x+3)/(x+1)/(-1+10*x+7*x^2) lgdogf] A166076 6.62435 [-2*f(x)^2*x^2-5*f(x)^2*x-3*f(x)^2+5*f(x)*x+7*f(x)-4 ogf] A166078 12.8450 [1/2/(3*x+2*x^2+2)*(3+3*x+(1+6*x+x^2)^(1/2))*x revogf] A166078 6.11415 [2*f(x)^2*x^2-3*f(x)^2*x+f(x)^2+3*f(x)*x-3*f(x)+2 ogf] A166078 8.62723 [-1/2*(28*x^2-17*x-3+3*(-(7*x+1)*(x-1))^(1/2))/(7*x+1)/(2*x-1)/(x-1) lgdogf] A166106 12.1105 [(x^2-x-1)*(x^4+4*x^3+4*x^2+1)/(x^2+x-1)/(x^5+3*x^4+2*x^3-x^2-x+1) lgdogf] A166106 8.22694 [x*(x^5+3*x^4+2*x^3-x^2-x+1)/(x^2+x-1)^2 ogf] A166112 7.30814 [(9*x^8+29*x^7+45*x^6+x^5+3*x^4+6*x^3+5*x^2+22*x+16)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A166114 10.4741 [-4*f(x)*x^2+3*f(x)*x+f(x)-5*x-1 ogf] A166117 12.0878 [-x*(x+1)/(x^3-2*x^2+x-1) ogf] A166117 19.0333 [-(2-4*x+2*x^3+x^2)/(x+1)/(x^3-2*x^2+x-1) lgdogf] A166117 6.20725 [{a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A166117 8.10595 [f(x)*x^3-2*f(x)*x^2+f(x)*x+x^2-f(x)+x ogf] A166118 14.6327 [(2*x+15)/(2*x-1)/(x-1) ogf] A166118 15.7089 [-1/4*(-15-3*x+(225+98*x+x^2)^(1/2))/(-1+x) revogf] A166118 16.4944 [-(-47+60*x+4*x^2)/(2*x+15)/(x-1)/(2*x-1) lgdogf] A166118 7.56298 [(81*f(x)+994)*(2*f(x)*x^2-3*f(x)*x+f(x)-2*x-15) ogf] A166118 8.01314 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=15,a(1)=47} ogf] A166122 12.5702 [-(6*x+1)/(5*x+1)/(x-1) ogf] A166122 13.9097 [1/2/(6+5*x)*(-1+4*x+(1+16*x+36*x^2)^(1/2)) revogf] A166122 14.9797 [-2*(1+5*x+15*x^2)/(x-1)/(5*x+1)/(6*x+1) lgdogf] A166122 6.50185 [(29*f(x)-62)*(5*f(x)*x^2-4*f(x)*x-f(x)+6*x+1) ogf] A166122 6.89829 [{-a(n+2)-4*a(n+1)+5*a(n),a(0)=1,a(1)=2} ogf] A166128 10.4742 [-(31*f(x)*x-f(x)+x+1)^2 ogf] A166128 4.38456 [(32*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-62*x^5+2*x^4-62*x^3+2*x^2-62*x+2) ogf] A166129 10.8336 [-(32*f(x)*x-f(x)+x+1)^2 ogf] A166129 4.53501 [(33*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-64*x^5+2*x^4-64*x^3+2*x^2-64*x+2) ogf] A166130 10.8336 [-(33*f(x)*x-f(x)+x+1)^2 ogf] A166130 4.53501 [(34*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-66*x^5+2*x^4-66*x^3+2*x^2-66*x+2) ogf] A166132 4.70297 [{a(n+3)-14*a(n+2)+49*a(n+1)-36*a(n),a(0)=1,a(1)=37,a(2)=469} ogf] A166132 4.82566 [(30952*f(x)-38641)*(36*f(x)*x^3-49*f(x)*x^2+14*f(x)*x-f(x)+23*x+1) ogf] A166132 9.20999 [-(37-98*x+1656*x^3-1019*x^2)/(x-1)/(4*x-1)/(9*x-1)/(23*x+1) lgdogf] A166132 9.73598 [-(23*x+1)/(x-1)/(4*x-1)/(9*x-1) ogf] A166135 33.0954 [x*(1+x)/(x^2+x+1)^2 revogf] A166136 13.1920 [-(7*x^2-15*x+9)/(x-1)^3 ogf] A166136 21.6784 [-(12-16*x+7*x^2)/(x-1)/(7*x^2-15*x+9) lgdogf] A166136 6.99066 [-(3*f(x)+13)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-15*x+9) ogf] A166136 7.17462 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=12,a(2)=16} ogf] A166137 13.4440 [(4*x^2-8*x-1)/(x-1)^3 ogf] A166137 22.3523 [-(-11-8*x+4*x^2)/(x-1)/(4*x^2-8*x-1) lgdogf] A166137 7.06967 [(113*f(x)-1337)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+8*x+1) ogf] A166137 7.19370 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=26} ogf] A166138 15.4051 [(4*x^3+5*x^2+8*x+1)/(x-1)^2/(x+1)^2 ogf] A166138 16.1405 [-2*(4+7*x+2*x^4+5*x^3+18*x^2)/(x-1)/(x+1)/(4*x^3+5*x^2+8*x+1) lgdogf] A166138 9.62815 [(17*f(x)-125)*(f(x)*x^4-2*f(x)*x^2-4*x^3-5*x^2+f(x)-8*x-1) ogf] A166143 12.5865 [(5*x^2-10*x-1)/(x-1)^3 ogf] A166143 20.1352 [-(-13-10*x+5*x^2)/(x-1)/(5*x^2-10*x-1) lgdogf] A166143 6.66979 [(136*f(x)-1981)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+10*x+1) ogf] A166143 6.84531 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=31} ogf] A166144 12.4938 [(10*x^2-20*x-1)/(x-1)^3 ogf] A166144 19.2994 [-(-23-20*x+10*x^2)/(x-1)/(10*x^2-20*x-1) lgdogf] A166144 6.67044 [(251*f(x)-7091)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-10*x^2-f(x)+20*x+1) ogf] A166144 6.90449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=23,a(2)=56} ogf] A166145 10.8336 [-(34*f(x)*x-f(x)+x+1)^2 ogf] A166145 4.53501 [(35*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-68*x^5+2*x^4-68*x^3+2*x^2-68*x+2) ogf] A166146 13.0297 [(6*x^2-12*x-1)/(x-1)^3 ogf] A166146 7.02472 [(53*f(x)-917)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+12*x+1) ogf] A166146 7.08634 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=36} ogf] A166147 13.1532 [(7*x^2-14*x-1)/(x-1)^3 ogf] A166147 21.0575 [-(-17-14*x+7*x^2)/(x-1)/(7*x^2-14*x-1) lgdogf] A166147 7.09131 [(26*f(x)-521)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+14*x+1) ogf] A166147 7.15351 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=41} ogf] A166148 12.8321 [(8*x^2-16*x-1)/(x-1)^3 ogf] A166148 20.5359 [-(-19-16*x+8*x^2)/(x-1)/(8*x^2-16*x-1) lgdogf] A166148 6.97888 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=19,a(2)=46} ogf] A166148 7.23959 [(205*f(x)-4669)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+16*x+1) ogf] A166149 11.7224 [(4*x-1)/(6*x+1)/(5*x-1) ogf] A166149 12.9583 [1/4*(-1+x+(1-18*x+121*x^2)^(1/2))/(-2+15*x) revogf] A166149 13.2668 [-5*(1-12*x+24*x^2)/(5*x-1)/(4*x-1)/(6*x+1) lgdogf] A166149 5.86122 [-(79*f(x)-54)*(30*f(x)*x^2-f(x)*x-f(x)-4*x+1) ogf] A166149 6.49676 [{a(n+2)+a(n+1)-30*a(n),a(0)=1,a(1)=-5} ogf] A166150 12.9549 [(9*x^2-18*x-1)/(x-1)^3 ogf] A166150 6.92419 [(76*f(x)-1939)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-9*x^2-f(x)+18*x+1) ogf] A166150 7.04566 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=21,a(2)=51} ogf] A166151 13.4440 [(3*x^2-6*x-2)/(x-1)^3 ogf] A166151 22.9909 [-3*(-4-2*x+x^2)/(x-1)/(3*x^2-6*x-2) lgdogf] A166151 7.1937 [(37*f(x)-371)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+6*x+2) ogf] A166151 7.19370 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=12,a(2)=27} ogf] A166152 11.2657 [(5*x-1)/(7*x+1)/(6*x-1) ogf] A166152 12.3940 [1/2/(-5+42*x)*(-1+x+(1-22*x+169*x^2)^(1/2)) revogf] A166152 12.6891 [-6*(1-14*x+35*x^2)/(6*x-1)/(7*x+1)/(5*x-1) lgdogf] A166152 5.63284 [-(53*f(x)-35)*(42*f(x)*x^2-f(x)*x-f(x)-5*x+1) ogf] A166152 6.24363 [{a(n+2)+a(n+1)-42*a(n),a(0)=1,a(1)=-6} ogf] A166153 11.9058 [(6*x-1)/(8*x+1)/(7*x-1) ogf] A166153 13.0788 [1/4*(-1+x+(1-26*x+225*x^2)^(1/2))/(-3+28*x) revogf] A166153 13.0788 [-7*(12*x-1)*(4*x-1)/(6*x-1)/(8*x+1)/(7*x-1) lgdogf] A166153 5.88888 [-(137*f(x)-88)*(56*f(x)*x^2-f(x)*x-f(x)-6*x+1) ogf] A166153 6.59839 [{a(n+2)+a(n+1)-56*a(n),a(0)=1,a(1)=-7} ogf] A166154 13.0915 [(5*x^2-10*x-2)/(x-1)^3 ogf] A166154 20.9568 [-(-16-10*x+5*x^2)/(x-1)/(5*x^2-10*x-2) lgdogf] A166154 6.93737 [(157*f(x)-2429)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+10*x+2) ogf] A166154 7.11993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=16,a(2)=37} ogf] A166157 10.9960 [(7*x-1)/(9*x+1)/(8*x-1) ogf] A166157 12.0992 [1/2/(-7+72*x)*(-1+x+(1-30*x+289*x^2)^(1/2)) revogf] A166157 12.3873 [-8*(1-18*x+63*x^2)/(9*x+1)/(8*x-1)/(7*x-1) lgdogf] A166157 5.49799 [-(43*f(x)-27)*(72*f(x)*x^2-f(x)*x-f(x)-7*x+1) ogf] A166157 6.09416 [{a(n+2)+a(n+1)-72*a(n),a(0)=1,a(1)=-8} ogf] A166165 10.9363 [-(35*f(x)*x-f(x)+x+1)^2 ogf] A166165 4.57800 [(36*x^9+x^8+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^8-70*x^5+2*x^4-70*x^3+2*x^2-70*x+2) ogf] A166167 9.52832 [-(36*f(x)*x-f(x)+x+1)^2 ogf] A166170 9.52832 [-(37*f(x)*x-f(x)+x+1)^2 ogf] A166171 9.62862 [-(38*f(x)*x-f(x)+x+1)^2 ogf] A166172 9.67877 [-(39*f(x)*x-f(x)+x+1)^2 ogf] A166189 14.9657 [-(7+16*x+6*x^3+13*x^2)/(x-1)/(x+1)/(1+x+x^2) lgdogf] A166189 26.6478 [-x^2+x+7 ogf_with_Euler_transform] A166189 6.93148 [-(x^2+x+1)/(x+1)/(x-1)^7 ogf] A166190 5.22408 [-(21+246*x+3220*x^4+2488*x^3+1035*x^6+2490*x^5+1086*x^2+216*x^7)/(x-1)/(x+1)/(27*x^6+91*x^5+160*x^4+135*x^3+64*x^2+13*x+1) lgdogf] A166212 4.90543 [-(3*x^6+x^5+x^4+3*x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+x+1)^3/(x-1)^5 ogf] A166213 5.73778 [(3*x^4+4*x^3+3*x^2+2*x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^6 ogf] A166213 7.58103 [-2*(2+10*x+54*x^4+47*x^3+33*x^6+49*x^5+12*x^7+27*x^2)/(x-1)/(x+1)/(1+x+x^2)/(3*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A166225 9.77907 [-(40*f(x)*x-f(x)+x+1)^2 ogf] A166228 15.6775 [1/2*(-1-2*x^2+(1+8*x^2)^(1/2))/x/(1+x) revogf] A166228 6.40301 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)^2*x+f(x)*x^2-f(x)+1 ogf] A166228 7.17763 [-1/2*(-x^2-2*x-1+(x^2-6*x+1)^(1/2)+3*(x^2-6*x+1)^(1/2)*x)/x/(x^2-6*x+1)^(1/2)/(x+1) lgdogf] A166229 10.7905 [1/2*((1-8*x+8*x^2)^(1/2)-1)/(1-8*x+8*x^2)^(1/2)/(x-1)/x lgdogf] A166229 23.7392 [1/2+x-1/2*(1+8*x^2)^(1/2) revogf] A166229 4.92556 [{8*a(n)*n+(-8*n-12)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=2} ogf] A166229 9.61658 [-f(x)^2*x-2*f(x)*x+f(x)+x-1 ogf] A166230 9.77907 [-(41*f(x)*x-f(x)+x+1)^2 ogf] A166233 9.82922 [-(42*f(x)*x-f(x)+x+1)^2 ogf] A166249 10.6302 [-(3*x^3-2*x^2-x+1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A166249 5.96328 [-(f(x)-2)*(2*f(x)*x^4-f(x)*x^3+3*x^3+2*f(x)*x-2*x^2-f(x)-x+1) ogf] A166249 8.81590 [-(1-4*x-4*x^4-2*x^3+6*x^6-8*x^5+10*x^2)/(-1+2*x)/(x+1)/(x^2-x+1)/(3*x^3-2*x^2-x+1) lgdogf] A166254 9.87937 [-(43*f(x)*x-f(x)+x+1)^2 ogf] A166258 9.97967 [-(44*f(x)*x-f(x)+x+1)^2 ogf] A166286 6.86146 [-f(x)^2*x^4+f(x)^2*x^3-2*f(x)*x^3+2*f(x)*x-f(x)-x+1 ogf] A166289 6.74938 [-f(x)^2*x^3-f(x)*x^3-f(x)*x^2+f(x)*x-x^2+f(x)-2*x-1 ogf] A166297 7.10651 [-f(x)^2*x^3+f(x)*x^4-f(x)*x^2-x^3-2*f(x)*x+f(x) ogf] A166300 6.25039 [-f(x)^2*x^3-f(x)^2*x^2-f(x)^2*x+f(x)*x^2+f(x)*x+f(x)-1 ogf] A166303 9.97967 [-(45*f(x)*x-f(x)+x+1)^2 ogf] A166304 13.6688 [(x^3+8*x^2+5*x+4)/(x-1)^2/(x+1)^2 ogf] A166304 15.2999 [-(5+32*x+x^4+16*x^3+18*x^2)/(x-1)/(x+1)/(x^3+8*x^2+5*x+4) lgdogf] A166304 8.46165 [(152*f(x)+619)*(f(x)*x^4-2*f(x)*x^2-x^3-8*x^2+f(x)-5*x-4) ogf] A166308 9.97967 [-(46*f(x)*x-f(x)+x+1)^2 ogf] A166313 10.1803 [-(47*f(x)*x-f(x)+x+1)^2 ogf] A166322 11.1562 [7*(2*x+3*x^2+4*x^3+1+5*x^4)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A166322 24.0342 [[-7*x^5+7] ogf_with_Euler_transform] A166324 10.1803 [-(48*f(x)*x-f(x)+x+1)^2 ogf] A166325 10.1803 [-(49*f(x)*x-f(x)+x+1)^2 ogf] A166327 3.88239 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-2*x^9+x^8-2*x^7+x^6-2*x^5+x^4-2*x^3+x^2-2*x+1) ogf] A166334 4.74127 [{(27*n^2+81*n+60)*a(n+1)-2*a(n+2),a(0)=1,a(1)=3} ogf] A166336 6.89345 [-(x^4-4*x^3+7*x^2-4*x+1)/(x-1)/(x^2-3*x+1)^2 ogf] A166336 7.82739 [-(3-11*x+16*x^4-27*x^3+x^6-5*x^5+22*x^2)/(x-1)/(x^2-3*x+1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A166356 2.72102 [{(16*n^3+8*n^2-8*n)*a(n)+(4*n^3+18*n^2+20*n+8)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A166364 11.606 [-(5*f(x)*x-f(x)+x+1)^2 ogf] A166365 11.4313 [-(6*f(x)*x-f(x)+x+1)^2 ogf] A166366 11.022 [-(7*f(x)*x-f(x)+x+1)^2 ogf] A166367 11.5873 [-(8*f(x)*x-f(x)+x+1)^2 ogf] A166368 10.8333 [-(9*f(x)*x-f(x)+x+1)^2 ogf] A166369 10.2769 [-(10*f(x)*x-f(x)+x+1)^2 ogf] A166372 10.2769 [-(11*f(x)*x-f(x)+x+1)^2 ogf] A166377 3.85752 [(13*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-24*x^5+2*x^4-24*x^3+2*x^2-24*x+2) ogf] A166377 9.28664 [-(12*f(x)*x-f(x)+x+1)^2 ogf] A166379 3.94470 [(14*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-26*x^5+2*x^4-26*x^3+2*x^2-26*x+2) ogf] A166379 9.49651 [-(13*f(x)*x-f(x)+x+1)^2 ogf] A166382 4.05367 [(15*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-28*x^5+2*x^4-28*x^3+2*x^2-28*x+2) ogf] A166382 9.75885 [-(14*f(x)*x-f(x)+x+1)^2 ogf] A166410 4.11905 [(16*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-30*x^5+2*x^4-30*x^3+2*x^2-30*x+2) ogf] A166410 9.91625 [-(15*f(x)*x-f(x)+x+1)^2 ogf] A166411 10.1786 [-(16*f(x)*x-f(x)+x+1)^2 ogf] A166411 4.22802 [(17*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-32*x^5+2*x^4-32*x^3+2*x^2-32*x+2) ogf] A166412 10.336 [-(17*f(x)*x-f(x)+x+1)^2 ogf] A166412 4.29340 [(18*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-34*x^5+2*x^4-34*x^3+2*x^2-34*x+2) ogf] A166413 3.81765 [(19*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-36*x^5+2*x^4-36*x^3+2*x^2-36*x+2) ogf] A166413 9.19062 [-(18*f(x)*x-f(x)+x+1)^2 ogf] A166414 3.86030 [(20*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-38*x^5+2*x^4-38*x^3+2*x^2-38*x+2) ogf] A166414 9.29331 [-(19*f(x)*x-f(x)+x+1)^2 ogf] A166415 3.92428 [(21*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-40*x^5+2*x^4-40*x^3+2*x^2-40*x+2) ogf] A166415 9.44734 [-(20*f(x)*x-f(x)+x+1)^2 ogf] A166416 3.94561 [(22*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-42*x^5+2*x^4-42*x^3+2*x^2-42*x+2) ogf] A166416 9.49868 [-(21*f(x)*x-f(x)+x+1)^2 ogf] A166417 4.05225 [(23*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-44*x^5+2*x^4-44*x^3+2*x^2-44*x+2) ogf] A166417 9.7554 [-(22*f(x)*x-f(x)+x+1)^2 ogf] A166418 4.07358 [(24*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-46*x^5+2*x^4-46*x^3+2*x^2-46*x+2) ogf] A166418 9.80675 [-(23*f(x)*x-f(x)+x+1)^2 ogf] A166419 4.11623 [(25*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-48*x^5+2*x^4-48*x^3+2*x^2-48*x+2) ogf] A166419 9.90944 [-(24*f(x)*x-f(x)+x+1)^2 ogf] A166420 10.0121 [-(25*f(x)*x-f(x)+x+1)^2 ogf] A166420 4.15888 [(26*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-50*x^5+2*x^4-50*x^3+2*x^2-50*x+2) ogf] A166421 10.1148 [-(26*f(x)*x-f(x)+x+1)^2 ogf] A166421 4.20154 [(27*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-52*x^5+2*x^4-52*x^3+2*x^2-52*x+2) ogf] A166422 10.2688 [-(27*f(x)*x-f(x)+x+1)^2 ogf] A166422 4.26552 [(28*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-54*x^5+2*x^4-54*x^3+2*x^2-54*x+2) ogf] A166423 10.3202 [-(28*f(x)*x-f(x)+x+1)^2 ogf] A166423 4.28685 [(29*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-56*x^5+2*x^4-56*x^3+2*x^2-56*x+2) ogf] A166424 10.4229 [-(29*f(x)*x-f(x)+x+1)^2 ogf] A166424 4.32951 [(30*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-58*x^5+2*x^4-58*x^3+2*x^2-58*x+2) ogf] A166425 10.4742 [-(30*f(x)*x-f(x)+x+1)^2 ogf] A166425 4.35083 [(31*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-60*x^5+2*x^4-60*x^3+2*x^2-60*x+2) ogf] A166426 10.4742 [-(31*f(x)*x-f(x)+x+1)^2 ogf] A166426 4.35083 [(32*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-62*x^5+2*x^4-62*x^3+2*x^2-62*x+2) ogf] A166427 10.8336 [-(32*f(x)*x-f(x)+x+1)^2 ogf] A166427 4.50012 [(33*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-64*x^5+2*x^4-64*x^3+2*x^2-64*x+2) ogf] A166428 10.8336 [-(33*f(x)*x-f(x)+x+1)^2 ogf] A166428 4.50012 [(34*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-66*x^5+2*x^4-66*x^3+2*x^2-66*x+2) ogf] A166429 10.8336 [-(34*f(x)*x-f(x)+x+1)^2 ogf] A166429 4.50012 [(35*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-68*x^5+2*x^4-68*x^3+2*x^2-68*x+2) ogf] A166430 10.9363 [-(35*f(x)*x-f(x)+x+1)^2 ogf] A166430 4.54278 [(36*x^10+x^9+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^9-70*x^5+2*x^4-70*x^3+2*x^2-70*x+2) ogf] A166431 5.30443 [(37*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-72*x^3+2*x^2-72*x+2) ogf] A166431 9.52832 [-(36*f(x)*x-f(x)+x+1)^2 ogf] A166432 5.30443 [(38*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-74*x^3+2*x^2-74*x+2) ogf] A166432 9.52832 [-(37*f(x)*x-f(x)+x+1)^2 ogf] A166433 5.36027 [(39*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-76*x^3+2*x^2-76*x+2) ogf] A166433 9.62862 [-(38*f(x)*x-f(x)+x+1)^2 ogf] A166434 5.38819 [(40*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-78*x^3+2*x^2-78*x+2) ogf] A166434 9.67877 [-(39*f(x)*x-f(x)+x+1)^2 ogf] A166435 5.44402 [(41*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-80*x^3+2*x^2-80*x+2) ogf] A166435 9.77907 [-(40*f(x)*x-f(x)+x+1)^2 ogf] A166436 5.44402 [(42*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-82*x^3+2*x^2-82*x+2) ogf] A166436 9.77907 [-(41*f(x)*x-f(x)+x+1)^2 ogf] A166437 5.47194 [(43*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-84*x^3+2*x^2-84*x+2) ogf] A166437 9.82922 [-(42*f(x)*x-f(x)+x+1)^2 ogf] A166438 5.49986 [(44*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-86*x^3+2*x^2-86*x+2) ogf] A166438 9.87937 [-(43*f(x)*x-f(x)+x+1)^2 ogf] A166439 5.55569 [(45*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-88*x^3+2*x^2-88*x+2) ogf] A166439 9.97967 [-(44*f(x)*x-f(x)+x+1)^2 ogf] A166440 5.55569 [(46*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-90*x^3+2*x^2-90*x+2) ogf] A166440 9.97967 [-(45*f(x)*x-f(x)+x+1)^2 ogf] A166441 5.55569 [(47*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-92*x^3+2*x^2-92*x+2) ogf] A166441 9.97967 [-(46*f(x)*x-f(x)+x+1)^2 ogf] A166442 10.1803 [-(47*f(x)*x-f(x)+x+1)^2 ogf] A166442 5.66736 [(48*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-94*x^3+2*x^2-94*x+2) ogf] A166443 10.1803 [-(48*f(x)*x-f(x)+x+1)^2 ogf] A166443 5.66736 [(49*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-96*x^3+2*x^2-96*x+2) ogf] A166444 12.1412 [-f(x)*(2*f(x)*x-x^2-f(x)+x) ogf] A166444 17.6318 [x*(x-1)/(2*x-1) ogf] A166444 28.4930 [1/2+x-1/2*(1+4*x^2)^(1/2) revogf] A166444 44.5203 [1/(-1+2*x)/(x-1) lgdogf] A166444 8.70969 [{-a(n+3)+2*a(n+2),a(0)=0,a(1)=1,a(2)=1} ogf] A166445 10.4314 [-x*(-2-2*x^2+x^5+7*x)/(x-1)/(1+x^2)/(x^4+x^2-x+1) lgdogf] A166445 7.79864 [-(x^4+x^2-x+1)/(x-1)/(x^2+1)^2 ogf] A166446 11.8253 [(x+1)/(x^4-x^2+1) ogf] A166446 13.4798 [-(-1-2*x+3*x^4+4*x^3-x^2)/(x+1)/(x^4-x^2+1) lgdogf] A166446 15.2033 [x^11-x^5-x^3+1 ogf_with_Euler_transform] A166446 5.46643 [{-a(n+4)+a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A166446 9.1975 [f(x)*x^4-f(x)*x^2+f(x)-x-1 ogf] A166450 10.8546 [{a(n+2)-3*a(n),a(0)=1,a(1)=6} ogf] A166450 16.9437 [-(6*x+1)/(3*x^2-1) ogf] A166450 18.9052 [1/6*(-1+(1+24*x+12*x^2)^(1/2))/(2+x) revogf] A166450 21.2684 [-6*(1+x+3*x^2)/(6*x+1)/(3*x^2-1) lgdogf] A166450 9.51634 [-(13*f(x)+10)*(3*f(x)*x^2-f(x)+6*x+1) ogf] A166463 10.1803 [-(49*f(x)*x-f(x)+x+1)^2 ogf] A166463 5.66736 [(50*x^10+x^9+2*x^3+2*x^2+2*x+2)/(x^9-98*x^3+2*x^2-98*x+2) ogf] A166464 15.7325 [-(x+1)*(x^2-12*x-5)/(x-1)/(x^3-7*x^2-x-1) lgdogf] A166464 4.67637 [(108*f(x)+461)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-7*x^2+f(x)-x-1) ogf] A166464 8.56322 [-(x^3-7*x^2-x-1)/(x-1)^4 ogf] A166465 11.3882 [{a(n+2)-3*a(n),a(0)=1,a(1)=5} ogf] A166465 17.7768 [-(5*x+1)/(3*x^2-1) ogf] A166465 18.8059 [1/2/(5+3*x)*(-1+(1+20*x+12*x^2)^(1/2)) revogf] A166465 21.6553 [-(5+6*x+15*x^2)/(5*x+1)/(3*x^2-1) lgdogf] A166465 9.9842 [-(28*f(x)+19)*(3*f(x)*x^2-f(x)+5*x+1) ogf] A166474 22.6308 [-(4+6*x+3*x^2)/(x+1)/(x^2-2) lgdegf] A166481 10.3198 [(6*f(x)+43)*(3*f(x)*x^2-f(x)+7*x+1) ogf] A166481 10.9648 [{a(n+2)-3*a(n),a(0)=1,a(1)=7} ogf] A166481 17.1158 [-(7*x+1)/(3*x^2-1) ogf] A166481 18.0958 [1/2/(7+3*x)*(-1+(1+28*x+12*x^2)^(1/2)) revogf] A166481 20.8376 [-(7+6*x+21*x^2)/(7*x+1)/(3*x^2-1) lgdogf] A166482 4.27567 [-(7*f(x)+29)*(f(x)*x^4-7*f(x)*x^3+13*f(x)*x^2+x^3-7*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A166482 7.21540 [-(3-18*x+27*x^4-46*x^3+x^6-8*x^5+42*x^2)/(x-1)/(x^2-3*x+1)/(x^4-7*x^3+13*x^2-7*x+1) lgdogf] A166482 7.83873 [-(x-1)*(x^2-3*x+1)/(x^4-7*x^3+13*x^2-7*x+1) ogf] A166486 10.457 [(f(x)+1)*(f(x)*x^4+x^3+x^2-f(x)+x) ogf] A166486 15.5869 [-x*(x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A166486 16.5650 [-(1+2*x+3*x^4+4*x^3+2*x^5)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A166486 24.9795 [[x^3-x^2+1] ogf_with_Euler_transform] A166495 12.4124 [-(4*f(x)*x-f(x)+x+1)^2 ogf] A166495 3.84711 [-(10*x^12+5*x^11+5*x^10+5*x^9+5*x^8+5*x^7+5*x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(15*x^10+15*x^8+15*x^6+15*x^4+15*x^2-1) ogf] A166500 11.606 [-(5*f(x)*x-f(x)+x+1)^2 ogf] A166514 11.0480 [x*(x^3-x^2+x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A166514 13.7612 [-(1+7*x^4+4*x^3+3*x^6-4*x^5+5*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3-x^2+x+1) lgdogf] A166515 11.8188 [-2*(1+x+4*x^4+3*x^3+2*x^6-2*x^5+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^3-x^2+x+1) lgdogf] A166515 8.22174 [-x*(x^3-x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A166516 5.63102 [(f(x)-1)*(f(x)*x^4-3*f(x)*x^3+x^3+3*f(x)*x-x^2-f(x)-2*x+1) ogf] A166516 8.52758 [-(1-2*x-3*x^4+10*x^3+x^6-2*x^5-3*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(x^3-x^2-2*x+1) lgdogf] A166516 9.71149 [-(x^3-x^2-2*x+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A166517 15.0242 [(2*x^2-x+2)/(x+1)/(x-1)^2 ogf] A166517 23.6691 [-(1+9*x+2*x^3)/(x-1)/(x+1)/(2*x^2-x+2) lgdogf] A166517 8.11041 [(27*f(x)+65)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)+x-2) ogf] A166517 8.18282 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=1,a(2)=5} ogf] A166518 11.4313 [-(6*f(x)*x-f(x)+x+1)^2 ogf] A166519 10.2046 [-f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)-2*x+3 ogf] A166519 14.8887 [(3*x^2-2*x+3)/(x+1)/(x-1)^2 ogf] A166519 18.5707 [-(-7-3*x+3*x^3-9*x^2)/(x-1)/(x+1)/(-1+3*x^2-6*x) lgdogf] A166519 8.10904 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=1,a(2)=7} ogf] A166520 14.1405 [-(4*x^2-8*x-1)/(x+1)/(x-1)^2 ogf] A166520 17.2666 [-(-9-3*x+4*x^3-12*x^2)/(x-1)/(x+1)/(-1+4*x^2-8*x) lgdogf] A166520 7.30992 [-(43*f(x)+389)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-8*x-1) ogf] A166520 7.70152 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=6} ogf] A166521 13.8019 [-(5*x^2-10*x-1)/(x+1)/(x-1)^2 ogf] A166521 16.4576 [-(-11-3*x+5*x^3-15*x^2)/(x-1)/(x+1)/(-1+5*x^2-10*x) lgdogf] A166521 7.31383 [(314*f(x)+3435)*(f(x)*x^3-f(x)*x^2-f(x)*x+5*x^2+f(x)-10*x-1) ogf] A166521 7.57272 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=7} ogf] A166522 13.7453 [-(6*x^2-12*x-1)/(x+1)/(x-1)^2 ogf] A166522 16.3901 [-(-13-3*x+6*x^3-18*x^2)/(x-1)/(x+1)/(-1+6*x^2-12*x) lgdogf] A166522 7.22208 [(927*f(x)+11897)*(f(x)*x^3-f(x)*x^2-f(x)*x+6*x^2+f(x)-12*x-1) ogf] A166522 7.54165 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=8} ogf] A166523 14.0083 [-(7*x^2-14*x-1)/(x+1)/(x-1)^2 ogf] A166523 16.7099 [-(-15-3*x+7*x^3-21*x^2)/(x-1)/(x+1)/(-1+7*x^2-14*x) lgdogf] A166523 7.17781 [-(107*f(x)+1576)*(f(x)*x^3-f(x)*x^2-f(x)*x+7*x^2+f(x)-14*x-1) ogf] A166523 7.68598 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=15,a(2)=9} ogf] A166524 13.6290 [-(8*x^2-16*x-1)/(x+1)/(x-1)^2 ogf] A166524 16.2515 [-(-17-3*x+8*x^3-24*x^2)/(x-1)/(x+1)/(-1+8*x^2-16*x) lgdogf] A166524 7.10082 [(1699*f(x)+28245)*(f(x)*x^3-f(x)*x^2-f(x)*x+8*x^2+f(x)-16*x-1) ogf] A166524 7.41225 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=17,a(2)=10} ogf] A166525 13.4395 [-(9*x^2-18*x-1)/(x+1)/(x-1)^2 ogf] A166525 16.0225 [-(-19-3*x+9*x^3-27*x^2)/(x-1)/(x+1)/(-1+9*x^2-18*x) lgdogf] A166525 6.77437 [-(1086*f(x)+20113)*(f(x)*x^3-f(x)*x^2-f(x)*x+9*x^2+f(x)-18*x-1) ogf] A166525 7.30918 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=19,a(2)=11} ogf] A166526 13.4178 [-(11*x^2-22*x-1)/(x+1)/(x-1)^2 ogf] A166526 15.6457 [-(-23-3*x+11*x^3-33*x^2)/(x-1)/(x+1)/(-1+11*x^2-22*x) lgdogf] A166526 6.87255 [-(823*f(x)+18363)*(f(x)*x^3-f(x)*x^2-f(x)*x+11*x^2+f(x)-22*x-1) ogf] A166526 7.41512 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=23,a(2)=13} ogf] A166536 10.3554 [-(x^3-3*x^2+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A166536 5.4724 [-(496*f(x)+255)*(f(x)*x^4-3*f(x)*x^3+x^3+3*f(x)*x-3*x^2-f(x)+1) ogf] A166536 8.91589 [-(3-6*x+9*x^4-2*x^3+x^6-6*x^5+3*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(x^3-3*x^2+1) lgdogf] A166538 11.022 [-(7*f(x)*x-f(x)+x+1)^2 ogf] A166538 3.56199 [(8*x^11+x^10+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-14*x^7+2*x^6-14*x^5+2*x^4-14*x^3+2*x^2-14*x+2) ogf] A166539 14.1405 [-(3*x^2-6*x-2)/(x+1)/(x-1)^2 ogf] A166539 17.6263 [-(-8-6*x+3*x^3-9*x^2)/(x-1)/(x+1)/(-2+3*x^2-6*x) lgdogf] A166539 7.18809 [-(153*f(x)+1333)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-6*x-2) ogf] A166539 7.70152 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=8,a(2)=7} ogf] A166540 11.3322 [-12*(129+87*x+x^4+13*x^3-20*x^2)/(x-1)/(4*x^4+35*x^3-69*x^2+197*x+193) lgdogf] A166540 6.27312 [-x^3*(4*x^4+35*x^3-69*x^2+197*x+193)/(x-1)^7 ogf] A166541 11.5873 [-(8*f(x)*x-f(x)+x+1)^2 ogf] A166541 3.74466 [(9*x^11+x^10+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-16*x^7+2*x^6-16*x^5+2*x^4-16*x^3+2*x^2-16*x+2) ogf] A166542 14.0281 [-2*(2*x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A166542 17.4862 [-(-5-3*x+2*x^3-6*x^2)/(x-1)/(x+1)/(-1+2*x^2-4*x) lgdogf] A166542 7.5063 [(79*f(x)+834)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-8*x-2) ogf] A166542 7.57272 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=10,a(2)=8} ogf] A166543 10.8333 [-(9*f(x)*x-f(x)+x+1)^2 ogf] A166544 13.8110 [-(5*x^2-10*x-2)/(x+1)/(x-1)^2 ogf] A166544 16.4701 [-(-12-6*x+5*x^3-15*x^2)/(x-1)/(x+1)/(-2+5*x^2-10*x) lgdogf] A166544 7.31866 [(179*f(x)+2225)*(f(x)*x^3-f(x)*x^2-f(x)*x+5*x^2+f(x)-10*x-2) ogf] A166544 7.57773 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=12,a(2)=9} ogf] A166545 10.9923 [-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+13 ogf] A166545 20.4143 [13/(x+1)/(x-1)^2 ogf] A166545 40.6458 [[1+x] ogf_with_Euler_transform] A166545 7.45565 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=13,a(1)=13,a(2)=26} ogf] A166551 10.2769 [-(10*f(x)*x-f(x)+x+1)^2 ogf] A166551 4.20417 [(11*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-20*x^5+2*x^4-20*x^3+2*x^2-20*x+2) ogf] A166552 11.2771 [{a(n+2)-3*a(n),a(0)=1,a(1)=4} ogf] A166552 17.6033 [-(4*x+1)/(3*x^2-1) ogf] A166552 18.6188 [1/2/(4+3*x)*(-1+(1+16*x+12*x^2)^(1/2)) revogf] A166552 20.8093 [-2*(2+3*x+6*x^2)/(4*x+1)/(3*x^2-1) lgdogf] A166552 9.88679 [-(19*f(x)+10)*(3*f(x)*x^2-f(x)+4*x+1) ogf] A166557 10.2769 [-(11*f(x)*x-f(x)+x+1)^2 ogf] A166557 4.20417 [(12*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-22*x^5+2*x^4-22*x^3+2*x^2-22*x+2) ogf] A166558 3.79908 [(13*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-24*x^5+2*x^4-24*x^3+2*x^2-24*x+2) ogf] A166558 9.28664 [-(12*f(x)*x-f(x)+x+1)^2 ogf] A166568 3.88493 [(14*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-26*x^5+2*x^4-26*x^3+2*x^2-26*x+2) ogf] A166568 9.49651 [-(13*f(x)*x-f(x)+x+1)^2 ogf] A166577 16.7832 [(3*x^2+6*x+1)/(2*x+1) ogf] A166577 21.5461 [2*(2+3*x+3*x^2)/(2*x+1)/(3*x^2+6*x+1) lgdogf] A166577 8.99102 [{a(n+3)+2*a(n+2),a(0)=1,a(1)=4,a(2)=-5} ogf] A166577 9.56007 [-(f(x)-9)*(2*f(x)*x-3*x^2+f(x)-6*x-1) ogf] A166578 11.4318 [-(x^3+3*x^2-1)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A166578 6.19223 [-(15*f(x)-4)*(2*f(x)*x^4-f(x)*x^3+x^3-2*f(x)*x+3*x^2+f(x)-1) ogf] A166578 9.34419 [-(2-6*x-3*x^4-4*x^3+2*x^6+12*x^5+6*x^2)/(x-1)/(-1+2*x)/(x^2+x+1)/(x^3+3*x^2-1) lgdogf] A166583 3.99225 [(15*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-28*x^5+2*x^4-28*x^3+2*x^2-28*x+2) ogf] A166583 9.75885 [-(14*f(x)*x-f(x)+x+1)^2 ogf] A166584 4.05664 [(16*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-30*x^5+2*x^4-30*x^3+2*x^2-30*x+2) ogf] A166584 9.91625 [-(15*f(x)*x-f(x)+x+1)^2 ogf] A166585 10.1786 [-(16*f(x)*x-f(x)+x+1)^2 ogf] A166585 4.16396 [(17*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-32*x^5+2*x^4-32*x^3+2*x^2-32*x+2) ogf] A166587 19.5105 [-1/6+1/2*x+1/6*(1+6*x-3*x^2)^(1/2) revogf] A166587 9.99499 [-f(x)^2*x+3*f(x)*x+f(x)-3*x-1 ogf] A166588 15.3840 [1/2/(2+2*x+x^2)*(-1+x+2*x^2+(1+6*x-3*x^2)^(1/2)) revogf] A166588 3.84174 [{(-4*n-8)*a(n+1)+(4*n+8)*a(n+2)+(n+5)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=2,a(3)=3} ogf] A166588 6.43573 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2+f(x)*x+f(x)-2*x-1 ogf] A166592 11.8603 [x*(x^2+3*x+1)/(x^4-x^2+1) ogf] A166592 16.2967 [-(-3-4*x+9*x^4+4*x^3+2*x^5-3*x^2)/(x^2+3*x+1)/(x^4-x^2+1) lgdogf] A166592 7.38242 [(6*f(x)+19)*(f(x)*x^4-f(x)*x^2-x^3-3*x^2+f(x)-x) ogf] A166593 11.0697 [-x*(x^2+3*x+1)/(x-1)/(x^4-x^2+1) ogf] A166593 14.0605 [-(4+4*x-5*x^4-10*x^3+3*x^6+10*x^5-x^2)/(x-1)/(x^2+3*x+1)/(x^4-x^2+1) lgdogf] A166598 11.3094 [-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+5 ogf] A166598 21.2396 [5/(x+1)/(x-1)^2 ogf] A166598 41.3045 [[1+x] ogf_with_Euler_transform] A166598 7.70641 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=5,a(2)=10} ogf] A166599 10.336 [-(17*f(x)*x-f(x)+x+1)^2 ogf] A166599 4.22835 [(18*x^11+x^10+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^10-34*x^5+2*x^4-34*x^3+2*x^2-34*x+2) ogf] A166600 5.01307 [(19*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-36*x^3+2*x^2-36*x+2) ogf] A166600 9.19062 [-(18*f(x)*x-f(x)+x+1)^2 ogf] A166601 5.06908 [(20*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-38*x^3+2*x^2-38*x+2) ogf] A166601 9.29331 [-(19*f(x)*x-f(x)+x+1)^2 ogf] A166603 5.15310 [(21*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-40*x^3+2*x^2-40*x+2) ogf] A166603 9.44734 [-(20*f(x)*x-f(x)+x+1)^2 ogf] A166608 5.18110 [(22*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-42*x^3+2*x^2-42*x+2) ogf] A166608 9.49868 [-(21*f(x)*x-f(x)+x+1)^2 ogf] A166610 5.32113 [(23*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-44*x^3+2*x^2-44*x+2) ogf] A166610 9.7554 [-(22*f(x)*x-f(x)+x+1)^2 ogf] A166611 5.34914 [(24*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-46*x^3+2*x^2-46*x+2) ogf] A166611 9.80675 [-(23*f(x)*x-f(x)+x+1)^2 ogf] A166612 5.40515 [(25*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-48*x^3+2*x^2-48*x+2) ogf] A166612 9.90944 [-(24*f(x)*x-f(x)+x+1)^2 ogf] A166613 10.0121 [-(25*f(x)*x-f(x)+x+1)^2 ogf] A166613 5.46116 [(26*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-50*x^3+2*x^2-50*x+2) ogf] A166614 10.1148 [-(26*f(x)*x-f(x)+x+1)^2 ogf] A166614 5.51717 [(27*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-52*x^3+2*x^2-52*x+2) ogf] A166615 10.2688 [-(27*f(x)*x-f(x)+x+1)^2 ogf] A166615 5.60119 [(28*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-54*x^3+2*x^2-54*x+2) ogf] A166616 10.3202 [-(28*f(x)*x-f(x)+x+1)^2 ogf] A166616 5.62920 [(29*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-56*x^3+2*x^2-56*x+2) ogf] A166617 10.4229 [-(29*f(x)*x-f(x)+x+1)^2 ogf] A166617 5.68521 [(30*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-58*x^3+2*x^2-58*x+2) ogf] A166618 10.4742 [-(30*f(x)*x-f(x)+x+1)^2 ogf] A166618 5.71321 [(31*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-60*x^3+2*x^2-60*x+2) ogf] A166621 13.4395 [-5*(x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A166621 18.5715 [-(-3-3*x+x^3-3*x^2)/(x-1)/(x+1)/(-1+x^2-2*x) lgdogf] A166621 7.30918 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=15,a(2)=15} ogf] A166621 9.25831 [-f(x)*x^3+f(x)*x^2+f(x)*x-5*x^2-f(x)+10*x+5 ogf] A166622 10.4742 [-(31*f(x)*x-f(x)+x+1)^2 ogf] A166622 5.71321 [(32*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-62*x^3+2*x^2-62*x+2) ogf] A166639 13.7918 [(7*x^2-2*x+7)/(x+1)/(x-1)^2 ogf] A166639 15.8692 [-(-19-15*x+7*x^3-21*x^2)/(x-1)/(x+1)/(-5+7*x^2-14*x) lgdogf] A166639 7.01082 [-(135*f(x)+1424)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)+2*x-7) ogf] A166639 7.44512 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=5,a(2)=19} ogf] A166679 10.8336 [-(32*f(x)*x-f(x)+x+1)^2 ogf] A166679 5.90925 [(33*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-64*x^3+2*x^2-64*x+2) ogf] A166682 10.8336 [-(33*f(x)*x-f(x)+x+1)^2 ogf] A166682 5.90925 [(34*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-66*x^3+2*x^2-66*x+2) ogf] A166683 10.8336 [-(34*f(x)*x-f(x)+x+1)^2 ogf] A166683 5.90925 [(35*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-68*x^3+2*x^2-68*x+2) ogf] A166688 10.9363 [-(35*f(x)*x-f(x)+x+1)^2 ogf] A166688 5.96527 [(36*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-70*x^3+2*x^2-70*x+2) ogf] A166689 5.19727 [(37*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-72*x^3+2*x^2-72*x+2) ogf] A166689 9.52832 [-(36*f(x)*x-f(x)+x+1)^2 ogf] A166690 5.19727 [(38*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-74*x^3+2*x^2-74*x+2) ogf] A166690 9.52832 [-(37*f(x)*x-f(x)+x+1)^2 ogf] A166691 5.25198 [(39*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-76*x^3+2*x^2-76*x+2) ogf] A166691 9.62862 [-(38*f(x)*x-f(x)+x+1)^2 ogf] A166693 5.27933 [(40*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-78*x^3+2*x^2-78*x+2) ogf] A166693 9.67877 [-(39*f(x)*x-f(x)+x+1)^2 ogf] A166694 6.56796 [-f(x)^2*x+f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A166696 6.41822 [-2*f(x)^2*x+f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A166697 5.76991 [-2*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2+3*f(x)*x-f(x)-x+1 ogf] A166697 9.81480 [-1/2*(-1-3*x+2*x^2+(1+2*x+9*x^2-4*x^3+4*x^4)^(1/2))/(1+x) revogf] A166711 11.6591 [x*(x^3-x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A166711 13.6143 [-(2-2*x-4*x^4+10*x^3+3*x^5+9*x^2)/(x-1)/(x^2+x+1)/(x^3-x^2+2*x+1) lgdogf] A166714 5.33404 [(41*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-80*x^3+2*x^2-80*x+2) ogf] A166714 9.77907 [-(40*f(x)*x-f(x)+x+1)^2 ogf] A166716 5.33404 [(42*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-82*x^3+2*x^2-82*x+2) ogf] A166716 9.77907 [-(41*f(x)*x-f(x)+x+1)^2 ogf] A166717 5.36139 [(43*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-84*x^3+2*x^2-84*x+2) ogf] A166717 9.82922 [-(42*f(x)*x-f(x)+x+1)^2 ogf] A166718 12.0968 [-(x^31+x^30-2*x^15+2)/(-x^31+x^15-1) ogf_with_Euler_transform] A166723 5.38875 [(44*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-86*x^3+2*x^2-86*x+2) ogf] A166723 9.87937 [-(43*f(x)*x-f(x)+x+1)^2 ogf] A166725 10.4453 [(25*x+1)/(25*x-1)^2 ogf] A166725 12.2192 [-1/50*(-1-50*x+(1+200*x)^(1/2))/(-1+25*x) revogf] A166725 16.6996 [-25*(3+25*x)/(25*x-1)/(25*x+1) lgdogf] A166725 5.95141 [{-a(n+2)+50*a(n+1)-625*a(n),a(0)=1,a(1)=75} ogf] A166725 7.40994 [(16*f(x)+65)*(625*f(x)*x^2-50*f(x)*x+f(x)-25*x-1) ogf] A166726 6.27275 [2*x*(4*x^9+5*x^8+5*x^7+5*x^6+5*x^5+5*x^4+5*x^3+5*x^2+10*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A166727 6.61664 [2*(3*x^9+5*x^8+5*x^7+5*x^6+5*x^5+5*x^4+5*x^3+5*x^2+10*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A166728 6.61664 [2*(2*x^9+5*x^8+5*x^7+5*x^6+5*x^5+5*x^4+5*x^3+5*x^2+10*x+3)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A166729 6.61664 [2*(x^9+5*x^8+5*x^7+5*x^6+5*x^5+5*x^4+5*x^3+5*x^2+10*x+4)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A166730 6.96483 [10*(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A166731 13.2757 [-f(x)*x^2+2*f(x)*x-f(x)+100 ogf] A166731 23.1376 [100/(x-1)^2 ogf] A166731 39.7340 [x/(5+(25+x)^(1/2))^2 revogf] A166731 61.9152 [[2] ogf_with_Euler_transform] A166731 9.41648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=100,a(1)=200} ogf] A166731 99.3350 [-2/(x-1) lgdogf] A166738 5.44345 [(45*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-88*x^3+2*x^2-88*x+2) ogf] A166738 9.97967 [-(44*f(x)*x-f(x)+x+1)^2 ogf] A166739 5.44345 [(46*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-90*x^3+2*x^2-90*x+2) ogf] A166739 9.97967 [-(45*f(x)*x-f(x)+x+1)^2 ogf] A166740 5.44345 [(47*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-92*x^3+2*x^2-92*x+2) ogf] A166740 9.97967 [-(46*f(x)*x-f(x)+x+1)^2 ogf] A166741 25.3249 [2/(-(x-1)*(x+1))^(1/2) lgdegf] A166748 24.2247 [6/(-(x-1)*(x+1))^(1/2) lgdegf] A166749 6.02856 [x*(320*x^9+680*x^8+98*x^7-428*x^6-278*x^5-185*x^4-149*x^3-17*x^2+18*x+4)/(x-1)/(x+1)/(10*x^2-1) ogf] A166750 6.01805 [{(-8*n^3-36*n^2-54*n-27)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A166752 11.5580 [-(4*x^3+2*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A166752 8.07819 [f(x)*(4*f(x)*x^4-5*f(x)*x^2+4*x^3+2*x^2+f(x)-x-1) ogf] A166752 8.36728 [-(1+6*x+8*x^4-16*x^3+16*x^6+16*x^5-7*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(x+1)/(4*x^3+2*x^2-x-1) lgdogf] A166753 8.26736 [-2*(1+4*x+4*x^4-15*x^3+16*x^6+20*x^5-6*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(x+1)/(4*x^3+2*x^2-x-1) lgdogf] A166753 8.91961 [(4*x^3+2*x^2-x-1)/(2*x+1)/(2*x-1)/(x+1)/(x-1)^2 ogf] A166754 10.9405 [-2*(-1-4*x+8*x^4-x^3+6*x^2)/(x-1)/(-1+2*x)/(x+1)/(4*x^2-x+1) lgdogf] A166754 4.96323 [(1136*f(x)-1873)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x+4*x^2-f(x)-x+1) ogf] A166754 9.71067 [-(4*x^2-x+1)/(2*x-1)/(x+1)/(x-1)^2 ogf] A166756 16.2664 [-(29+40*x+2*x^3+9*x^2)/(x-1)/(x^3+2*x^2+9*x+4) lgdogf] A166756 3.85149 [{(-73*n^2-236*n-180)*a(n+1)+(-238*n^2-2549*n-4602)*a(n+2)+(311*n^2+1249*n+1254)*a(n+3),a(0)=0,a(1)=24,a(2)=174} ogf] A166756 8.07173 [-6*x*(x^3+2*x^2+9*x+4)/(x-1)^5 ogf] A166757 5.24893 [-24*x*(x^5+8*x^4+13*x^3+27*x^2+14*x+1)/(x-1)^7 ogf] A166757 9.19366 [-(x+1)*(2*x^4+27*x^3+57*x^2+117*x+21)/(x-1)/(x^5+8*x^4+13*x^3+27*x^2+14*x+1) lgdogf] A166758 3.61379 [-120*x^2*(2*x^6+12*x^5+43*x^4+60*x^3+84*x^2+48*x+7)/(x-1)^9 ogf] A166758 6.46295 [-(111+552*x+275*x^4+532*x^3+6*x^6+60*x^5+768*x^2)/(x-1)/(2*x^6+12*x^5+43*x^4+60*x^3+84*x^2+48*x+7) lgdogf] A166761 10.2490 [-(-15+29*x+24*x^4-36*x^3+6*x^2)/(x-1)/(-1+2*x)/(6*x^3-9*x^2+3*x+2) lgdogf] A166761 7.75017 [-2*(6*x^3-9*x^2+3*x+2)/(2*x-1)/(x-1)^4 ogf] A166762 3.42518 [-6*(4*x^8-12*x^7+49*x^6-138*x^5+188*x^4-98*x^3-8*x^2+18*x+1)/(2*x-1)^2/(x-1)^7 ogf] A166776 18.4069 [-(51-36*x+2*x^3+3*x^2)/(x-1)/(x^3-9*x+12) lgdogf] A166776 4.50303 [{(-2-n)*a(n+1)+(-n^2-10*n-26)*a(n+2)+(n^2+7*n+10)*a(n+3),a(0)=0,a(1)=12,a(2)=51} ogf] A166776 9.11327 [-x*(x^3-9*x+12)/(x-1)^5 ogf] A166777 5.29954 [x*(x-2)*(x^4+9*x^3-27*x^2+19*x+6)/(x-1)^7 ogf] A166777 8.74594 [-2*(-58-23*x+13*x^4-76*x^3+x^5+115*x^2)/(x-1)/(x-2)/(x^4+9*x^3-27*x^2+19*x+6) lgdogf] A166778 3.74293 [-x^2*(x^6+33*x^5-186*x^4+322*x^3-119*x^2-195*x+160)/(x-1)^9 ogf] A166778 5.87073 [-(1245-1798*x-765*x^4+1188*x^3+3*x^6+138*x^5+133*x^2)/(x-1)/(x^6+33*x^5-186*x^4+322*x^3-119*x^2-195*x+160) lgdogf] A166781 11.5174 [(x^3+x+4)/(x-1)^4 ogf] A166781 22.2814 [-(17+3*x+x^3+3*x^2)/(x-1)/(x^3+x+4) lgdogf] A166781 4.03403 [{(-103*n^2-765*n-1118)*a(n+1)+(248*n^2+1424*n+1040)*a(n+2)+(-145*n^2-533*n-294)*a(n+3),a(0)=4,a(1)=17,a(2)=44} ogf] A166781 5.75873 [(186084*f(x)+90863)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)-x-4) ogf] A166782 3.37205 [-(3*x^6+x^5-7*x^4+43*x^3-50*x^2+48*x+6)/(x-1)^7 ogf] A166796 20.8922 [-2*(13-9*x+x^3)/(x-1)/(x^3-x^2-4*x+6) lgdogf] A166796 4.19252 [{(-15*n^2-123*n-186)*a(n+1)+(11*n^2-55*n-456)*a(n+2)+(4*n^2+102*n+188)*a(n+3),a(0)=0,a(1)=6,a(2)=26} ogf] A166796 8.61541 [-x*(x^3-x^2-4*x+6)/(x-1)^5 ogf] A166797 5.33878 [x*(x^5+2*x^4-20*x^3+32*x^2-11*x-8)/(x-1)^7 ogf] A166797 8.74107 [-(-67-2*x+11*x^4-72*x^3+2*x^5+100*x^2)/(x-1)/(x^5+2*x^4-20*x^3+32*x^2-11*x-8) lgdogf] A166798 3.63101 [-x^2*(x^6+14*x^5-79*x^4+108*x^3+37*x^2-178*x+105)/(x-1)^9 ogf] A166798 5.90329 [-(767-1350*x-325*x^4+332*x^3+3*x^6+62*x^5+583*x^2)/(x-1)/(x^6+14*x^5-79*x^4+108*x^3+37*x^2-178*x+105) lgdogf] A166805 14.0725 [-(-13+12*x+x^4-2*x^3-3*x^2)/(x-1)/(x^4-3*x^3+2*x^2+2*x-3) lgdogf] A166805 8.59984 [(x^4-3*x^3+2*x^2+2*x-3)/(x-1)^5 ogf] A166808 7.76486 [(x^5-4*x^4+5*x^3-5*x+4)/(x-1)^6 ogf] A166810 7.46355 [(x^6-5*x^5+9*x^4-5*x^3-5*x^2+9*x-5)/(x-1)^7 ogf] A166812 5.73654 [(x^7-6*x^6+14*x^5-14*x^4+14*x^2-14*x+6)/(x-1)^8 ogf] A166813 4.60072 [(x^8-7*x^7+20*x^6-28*x^5+14*x^4+14*x^3-28*x^2+20*x-7)/(x-1)^9 ogf] A166814 22.7356 [-(25-18*x+3*x^2)/(x-1)/(x-2)/(x-3) lgdogf] A166814 3.90051 [{(-18-6*n)*a(n+4)+(47+11*n)*a(n+3)+(-6*n-24)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=6,a(2)=25,a(3)=66} ogf] A166814 9.44581 [-x*(x-2)*(x-3)/(x-1)^5 ogf] A166815 11.4034 [-(-67+15*x^4-72*x^3+96*x^2)/(x-1)/(5*x^4-23*x^3+33*x^2-11*x-8) lgdogf] A166815 5.97840 [x*(5*x^4-23*x^3+33*x^2-11*x-8)/(x-1)^7 ogf] A166816 3.81486 [-x^2*(18*x^5-85*x^4+112*x^3+36*x^2-178*x+105)/(x-1)^9 ogf] A166816 6.55200 [-(767-1352*x-335*x^4+332*x^3+72*x^5+588*x^2)/(x-1)/(18*x^5-85*x^4+112*x^3+36*x^2-178*x+105) lgdogf] A166819 3.06948 [(x^5-9*x^4+14*x^3-6*x^2-7*x-1)/(x-1)^7 ogf] A166826 5.57767 [x*(x^5+2*x^4-22*x^3+40*x^2-21*x-4)/(x-1)^7 ogf] A166826 9.01981 [-(-49-46*x+11*x^4-80*x^3+2*x^5+134*x^2)/(x-1)/(x^5+2*x^4-22*x^3+40*x^2-21*x-4) lgdogf] A166827 3.57213 [-x^2*(x^6+15*x^5-101*x^4+210*x^3-155*x^2-17*x+55)/(x-1)^9 ogf] A166827 5.86458 [-(478-446*x-430*x^4+856*x^3+3*x^6+66*x^5-455*x^2)/(x-1)/(x^6+15*x^5-101*x^4+210*x^3-155*x^2-17*x+55) lgdogf] A166830 18.9805 [-(8-4*x+x^3-x^2)/(x-1)/(x^3-2*x^2+2) lgdogf] A166830 5.13347 [(72*f(x)-149)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-2) ogf] A166830 9.56371 [(x^3-2*x^2+2)/(x-1)^4 ogf] A166838 10.3463 [-(-49-44*x+15*x^4-80*x^3+130*x^2)/(x-1)/(5*x^4-25*x^3+41*x^2-21*x-4) lgdogf] A166838 5.94952 [x*(5*x^4-25*x^3+41*x^2-21*x-4)/(x-1)^7 ogf] A166839 3.75300 [-x^2*(19*x^5-107*x^4+214*x^3-156*x^2-17*x+55)/(x-1)^9 ogf] A166839 6.37454 [-2*(239-224*x-220*x^4+428*x^3+38*x^5-225*x^2)/(x-1)/(19*x^5-107*x^4+214*x^3-156*x^2-17*x+55) lgdogf] A166842 3.31395 [-(x+1)*(2*x^3-5*x^2+6*x+1)/(x-1)^7 ogf] A166842 5.93931 [-2*(7+22*x+3*x^4-2*x^3-2*x^2)/(x-1)/(x+1)/(2*x^3-5*x^2+6*x+1) lgdogf] A166854 10.1803 [-(47*f(x)*x-f(x)+x+1)^2 ogf] A166854 5.55287 [(48*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-94*x^3+2*x^2-94*x+2) ogf] A166855 10.1803 [-(48*f(x)*x-f(x)+x+1)^2 ogf] A166855 5.55287 [(49*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-96*x^3+2*x^2-96*x+2) ogf] A166856 10.1803 [-(49*f(x)*x-f(x)+x+1)^2 ogf] A166856 5.55287 [(50*x^11+x^10+2*x^3+2*x^2+2*x+2)/(x^10-98*x^3+2*x^2-98*x+2) ogf] A166858 4.92389 [-(2*x^13-1)/(4*x^12-4*x^11+4*x^10-4*x^9+4*x^8-4*x^7+4*x^6-4*x^5+4*x^4-4*x^3+4*x^2-4*x+1) ogf] A166858 9.77429 [(f(x)-1)*(3*f(x)*x-f(x)+x+1)^2 ogf] A166859 9.81876 [(f(x)-1)*(4*f(x)*x-f(x)+x+1)^2 ogf] A166861 23.9178 [-1/(x^2+x-1) ogf_with_Euler_transform] A166863 14.6722 [(x^2+3*x+1)/(x-1)/(x^2+x-1) ogf] A166863 7.69924 [-(321*f(x)+175)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-3*x-1) ogf] A166863 8.18552 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A166867 4.81058 [(147669*f(x)+63086)*(2*f(x)*x^4+5*f(x)*x^3-f(x)*x^2-2*x^3-3*f(x)*x-5*x^2+f(x)-x) ogf] A166867 8.62954 [-2*(-4-3*x+20*x^4+29*x^3+4*x^5+8*x^2)/(-1+2*x)/(x+1)/(2*x^2+5*x+1)/(x^2+2*x-1) lgdogf] A166867 9.35755 [x*(2*x^2+5*x+1)/(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A166868 10.5899 [(2*x+1)/(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A166868 4.78507 [-(979269*f(x)-141112)*(2*f(x)*x^4+5*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-2*x-1) ogf] A166868 9.73540 [-(-5-2*x+12*x^4+28*x^3+13*x^2)/(2*x+1)/(-1+2*x)/(x+1)/(x^2+2*x-1) lgdogf] A166871 7.73576 [-x*(x^8-x^6-2*x^5+2*x^4+x^3-3*x^2-2*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A166873 12.6740 [(11*x^2-22*x-1)/(x-1)^3 ogf] A166873 19.5832 [-(-25-22*x+11*x^2)/(x-1)/(11*x^2-22*x-1) lgdogf] A166873 6.76664 [(274*f(x)-8491)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-11*x^2-f(x)+22*x+1) ogf] A166873 7.00407 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=61} ogf] A166876 12.3864 [-(1982*x^2+1982*x-1983)/(x-1)/(x^2+x-1) ogf] A166876 6.34674 [-(4905451*f(x)-3891986013)*(f(x)*x^3-2*f(x)*x+1982*x^2+f(x)+1982*x-1983) ogf] A166876 7.45588 [{a(n+3)-2*a(n+2)+a(n),a(0)=1983,a(1)=1984,a(2)=1986} ogf] A166876 9.42168 [-(1984-3964*x+1982*x^4+3964*x^3-1985*x^2)/(x-1)/(x^2+x-1)/(1982*x^2+1982*x-1983) lgdogf] A166877 9.18086 [(f(x)-1)*(5*f(x)*x-f(x)+x+1)^2 ogf] A166878 3.69426 [(7*x^12+x^11+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^11-12*x^7+2*x^6-12*x^5+2*x^4-12*x^3+2*x^2-12*x+2) ogf] A166878 9.04269 [(f(x)-1)*(6*f(x)*x-f(x)+x+1)^2 ogf] A166910 3.56199 [(8*x^12+x^11+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^11-14*x^7+2*x^6-14*x^5+2*x^4-14*x^3+2*x^2-14*x+2) ogf] A166910 8.71892 [(f(x)-1)*(7*f(x)*x-f(x)+x+1)^2 ogf] A166911 10.4173 [-(x^3-5*x^2-x-3)/(x-1)^4 ogf] A166911 18.3088 [-(-13-13*x+x^3-7*x^2)/(x-1)/(x^3-5*x^2-x-3) lgdogf] A166911 4.22174 [{(67*n^2+383*n+498)*a(n+1)+(-42*n^2+72*n+546)*a(n+2)+(-25*n^2-179*n-312)*a(n+3),a(0)=3,a(1)=13,a(2)=39} ogf] A166911 5.64881 [(844*f(x)+4053)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)-x-3) ogf] A166912 3.1704 [(16243056574598309+21346397829873*f(x))*(64*f(x)*x^3-84*f(x)*x^2+40256*x^3+21*f(x)*x-46436*x^2-f(x)+5849*x+106) ogf] A166912 3.44335 [{a(n+4)-21*a(n+3)+84*a(n+2)-64*a(n+1),a(0)=106,a(1)=8075,a(2)=114235,a(3)=1767675} ogf] A166912 6.11701 [-(40256*x^3-46436*x^2+5849*x+106)/(x-1)/(4*x-1)/(16*x-1) ogf] A166913 3.25969 [-(14191967795713+17394027741*f(x))*(64*f(x)*x^3-84*f(x)*x^2+44352*x^3+21*f(x)*x-51812*x^2-f(x)+6953*x+357) ogf] A166913 3.47414 [{a(n+4)-21*a(n+3)+84*a(n+2)-64*a(n+1),a(0)=357,a(1)=14450,a(2)=221650,a(3)=3508050} ogf] A166913 5.12116 [-50*(289-3272*x+8192*x^4-19456*x^3+14112*x^2)/(x-1)/(4*x-1)/(16*x-1)/(44352*x^3-51812*x^2+6953*x+357) lgdogf] A166913 6.21259 [-(44352*x^3-51812*x^2+6953*x+357)/(x-1)/(4*x-1)/(16*x-1) ogf] A166914 10.4249 [-1/32*(-21-20*x+((4*x+9)*(36*x+49))^(1/2))/(5+4*x) revogf] A166914 10.8593 [-4*(80*x-17)*(16*x-5)/(4*x-1)/(80*x-21)/(16*x-1) lgdogf] A166914 10.8640 [-(80*x-21)/(16*x-1)/(4*x-1) ogf] A166914 5.66316 [(257*f(x)+1828)*(64*f(x)*x^2-20*f(x)*x+f(x)+80*x-21) ogf] A166914 6.11882 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=21,a(1)=340} ogf] A166915 3.41214 [(93541069995885*f(x)+3939654620242544)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+2240*x^2-f(x)-2684*x+399) ogf] A166915 4.12759 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=399,a(1)=5695,a(2)=88319} ogf] A166915 5.38698 [-(5695-62552*x+143360*x^4-343552*x^3+255024*x^2)/(x-1)/(4*x-1)/(16*x-1)/(2240*x^2-2684*x+399) lgdogf] A166915 7.10862 [-(2240*x^2-2684*x+399)/(x-1)/(4*x-1)/(16*x-1) ogf] A166916 3.45825 [(6957478379925*f(x)+194955820307152)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+1600*x^2-f(x)-1972*x+357) ogf] A166916 4.12759 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=357,a(1)=5525,a(2)=87637} ogf] A166916 5.38698 [-(5525-56776*x+102400*x^4-252416*x^3+200592*x^2)/(x-1)/(4*x-1)/(16*x-1)/(1600*x^2-1972*x+357) lgdogf] A166916 7.10862 [-(1600*x^2-1972*x+357)/(x-1)/(4*x-1)/(16*x-1) ogf] A166917 5.02525 [(1025*f(x)+29156)*(64*f(x)*x^2-20*f(x)*x+f(x)+336*x-85) ogf] A166917 5.53919 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=85,a(1)=1364} ogf] A166917 8.99277 [-1/32*(-85-20*x+((36*x+289)*(4*x+25))^(1/2))/(21+4*x) revogf] A166917 9.34543 [-4*(48*x-11)*(112*x-31)/(336*x-85)/(16*x-1)/(4*x-1) lgdogf] A166917 9.74898 [-(336*x-85)/(16*x-1)/(4*x-1) ogf] A166920 13.0046 [-x*(x-2)/(x-1)/(2*x-1)/(x+1) ogf] A166920 15.2244 [-(3+4*x+4*x^3-13*x^2)/(x-1)/(x-2)/(-1+2*x)/(x+1) lgdogf] A166920 6.67801 [-(3*f(x)+4)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A166920 6.67802 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=3} ogf] A166924 3.74466 [(9*x^12+x^11+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^11-16*x^7+2*x^6-16*x^5+2*x^4-16*x^3+2*x^2-16*x+2) ogf] A166924 9.16605 [(f(x)-1)*(8*f(x)*x-f(x)+x+1)^2 ogf] A166925 10.1342 [(11*f(x)+232)*(f(x)*x^3+9*x^2-f(x)+9*x+1) ogf] A166925 10.4009 [{a(n+3)-a(n),a(0)=1,a(1)=9,a(2)=9} ogf] A166925 13.7965 [-3*(3+6*x+3*x^4+6*x^3+x^2)/(x-1)/(x^2+x+1)/(9*x^2+9*x+1) lgdogf] A166925 16.1320 [-(9*x^2+9*x+1)/(x-1)/(x^2+x+1) ogf] A166926 14.7597 [4*x^2+2*x+1-f(x) ogf] A166926 42.2903 [2*(4*x+1)/(4*x^2+1+2*x) lgdogf] A166926 7.82712 [{-a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A166927 11.6945 [-(2*x-1)/(16*x-1)/(4*x-1) ogf] A166927 11.7024 [-1/4*(-1-20*x+(1+32*x+144*x^2)^(1/2))/(1+32*x) revogf] A166927 12.2343 [-2*(9-64*x+64*x^2)/(16*x-1)/(-1+2*x)/(4*x-1) lgdogf] A166927 6.17577 [(58*f(x)+23)*(64*f(x)*x^2-20*f(x)*x+f(x)+2*x-1) ogf] A166927 6.46639 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=1,a(1)=18} ogf] A166931 14.9870 [(x+2519)/(x-1)^2 ogf] A166931 15.0058 [-1/2*(-2519-2*x+(6345361+10080*x)^(1/2))/(-1+x) revogf] A166931 29.3863 [-(5039+x)/(x+2519)/(x-1) lgdogf] A166931 7.34059 [(5040*f(x)+12695761)*(f(x)*x^2-2*f(x)*x+f(x)-x-2519) ogf] A166931 8.17474 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2519,a(1)=5039} ogf] A166933 4.34974 [(10*x^12+x^11+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^11-18*x^5+2*x^4-18*x^3+2*x^2-18*x+2) ogf] A166933 8.56964 [(f(x)-1)*(9*f(x)*x-f(x)+x+1)^2 ogf] A166941 11.9364 [-(17+32*x+x^4-8*x^3+18*x^2)/(x-1)/(x^4-6*x^3+12*x^2+2*x+3) lgdogf] A166941 7.28139 [-2*(x^4-6*x^3+12*x^2+2*x+3)/(x-1)^5 ogf] A166942 5.82640 [-(x^5-6*x^4+14*x^3-16*x^2-15*x-2)/(x-1)^6 ogf] A166942 8.75242 [-(-27-107*x-7*x^4+18*x^3+x^5-22*x^2)/(x-1)/(x^5-6*x^4+14*x^3-16*x^2-15*x-2) lgdogf] A166943 4.80268 [-(3*x^6-20*x^5+55*x^4-80*x^3+65*x^2+212*x+5)/(x-1)^7 ogf] A166943 6.48295 [-(247+1402*x+65*x^4-100*x^3+3*x^6-22*x^5+85*x^2)/(x-1)/(3*x^6-20*x^5+55*x^4-80*x^3+65*x^2+212*x+5) lgdogf] A166950 4.20417 [(11*x^12+x^11+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^11-20*x^5+2*x^4-20*x^3+2*x^2-20*x+2) ogf] A166950 8.16105 [(f(x)-1)*(10*f(x)*x-f(x)+x+1)^2 ogf] A166951 4.20417 [(12*x^12+x^11+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^11-22*x^5+2*x^4-22*x^3+2*x^2-22*x+2) ogf] A166951 8.16105 [(f(x)-1)*(11*f(x)*x-f(x)+x+1)^2 ogf] A166952 6.51620 [x*(-1-x^5-x^3+x^9+x^10-x^2+x^12)/(-1-2*x-4*x^4-x^2-3*x^3-4*x^6-2*x^7-x^5+3*x^10-3*x^9+4*x^13-x^12) revogf] A166954 5.06543 [(13*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-24*x^3+2*x^2-24*x+2) ogf] A166956 13.7961 [x*(5*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A166956 14.7043 [-(-3+2*x+20*x^3-11*x^2)/(x-1)/(-1+2*x)/(-1+5*x)/(x+1) lgdogf] A166956 7.08449 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=-1,a(2)=3} ogf] A166956 7.14889 [(90*f(x)+259)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-5*x^2+f(x)+x) ogf] A166957 3.74584 [(7724603502*f(x)+11514655155419)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-607*x^3-4*f(x)*x-3311*x^2+f(x)-1127*x-1) ogf] A166957 7.35947 [(607*x^3+3311*x^2+1127*x+1)/(x-1)^4 ogf] A166957 9.81495 [-(-7829-11137*x+x^3-1219*x^2)/(x-1)/(x^3-611*x^2-3305*x-1131) lgdogf] A166959 12.1011 [4*(3*x^2+5*x+3)/(x+1)/(x-1)^2 ogf] A166959 6.73454 [(7*f(x)-52)*(f(x)*x^3-f(x)*x^2-f(x)*x-12*x^2+f(x)-20*x-12) ogf] A166959 6.73454 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=12,a(1)=32,a(2)=56} ogf] A166963 6.63187 [-(2+4*x-3*x^4+8*x^3-7*x^6+4*x^5+2*x^7-4*x^2)/(x^2+1)/(x^3-x^2-2*x+1)/(x^3-2*x^2-1) lgdogf] A166963 7.63010 [-(x^3-2*x^2-1)/(x^2+1)/(x^3-x^2-2*x+1) ogf] A166965 11.6945 [-(x-1)/(16*x-1)/(4*x-1) ogf] A166965 11.7024 [-1/2*(-1-20*x+(1+36*x+144*x^2)^(1/2))/(1+64*x) revogf] A166965 13.1295 [-(19-128*x+64*x^2)/(x-1)/(4*x-1)/(16*x-1) lgdogf] A166965 6.04004 [(252*f(x)+109)*(64*f(x)*x^2-20*f(x)*x+f(x)+x-1) ogf] A166965 6.46639 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=1,a(1)=19} ogf] A166969 5.17991 [(14*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-26*x^3+2*x^2-26*x+2) ogf] A166971 5.32300 [(15*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-28*x^3+2*x^2-28*x+2) ogf] A166977 14.2166 [-x*(4*x+1)/(2*x-1)/(x+1) ogf] A166977 18.5464 [-(5+4*x+8*x^2)/(4*x+1)/(-1+2*x)/(x+1) lgdogf] A166977 18.5464 [1/4*(-1-x+(1+18*x+9*x^2)^(1/2))/(x+2) revogf] A166977 6.89717 [{a(n+3)-a(n+2)-2*a(n+1),a(0)=0,a(1)=1,a(2)=5} ogf] A166977 8.19545 [-f(x)*(2*f(x)*x^2+f(x)*x+4*x^2-f(x)+x) ogf] A166978 11.2357 [-(5*x-1)*(3*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A166978 6.16472 [(9*f(x)+73)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+15*x^2+f(x)-8*x+1) ogf] A166978 6.21977 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=-1,a(1)=6,a(2)=-4} ogf] A166984 11.4534 [-1/128*(-1-20*x+(1+4*x)^(1/2)*(36*x+1)^(1/2))/x revogf] A166984 15.7041 [1/(16*x-1)/(4*x-1) ogf] A166984 18.5624 [-4*(-5+32*x)/(16*x-1)/(4*x-1) lgdogf] A166984 6.46639 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=1,a(1)=20} ogf] A166984 8.37763 [(17*f(x)+8)*(64*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A166986 7.88540 [2*(x^8+2*x^7+x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A166989 12.9068 [1/(x^4-2*x^3-7*x^2-2*x+1) ogf] A166989 12.9108 [-2*(-1-7*x+2*x^3-3*x^2)/(-7*x^2+1-2*x+x^4-2*x^3) lgdogf] A166989 5.05946 [-(4583*f(x)+60)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A166990 19.0292 [(HeunG(-1/8,1/4,1,1,1,1,-x)-1)/x lgdogf] A166991 16.2280 [1/2*(HeunG(-1/8,1/4,1,1,1,1,-x)-1)/x lgdogf] A167004 6.46243 [3*(9*x^2+1)*(43046721*x^16-4782969*x^14+531441*x^12-59049*x^10+1)*(6561*x^8+1)/(1+3*x+9*x^3+2187*x^9+282429536481*x^27) lgdogf] A167011 7.50914 [-(2*x^4-6*x^3+11*x^2-6*x+1)/(x^6+3*x^5-13*x^4+32*x^3-27*x^2+9*x-1) ogf] A167022 17.2676 [3*x^2+2*x-1+f(x)^2 ogf] A167022 34.4758 [(1+3*x)/(x+1)/(-1+3*x) lgdogf] A167022 4.74252 [{(n+3)*a(n+3)+(-3-2*n)*a(n+2)-3*n*a(n+1),a(0)=1,a(1)=-1,a(2)=-2} ogf] A167026 5.40886 [(16*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-30*x^3+2*x^2-30*x+2) ogf] A167027 5.55195 [(17*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-32*x^3+2*x^2-32*x+2) ogf] A167028 21.8917 [1/2*x*(8-4*x^2+x^4)/(x-1)/(x+1)/(-2+x^2) lgdegf] A167030 10.5109 [(x^2+2*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A167030 12.5038 [-2*x^2*(x^2+4*x-3)/(x-1)/(-1+2*x)/(x+1)/(x^2+2*x-1) lgdogf] A167030 5.77623 [(f(x)+1)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)-2*x+1) ogf] A167030 5.82875 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=-1,a(1)=0,a(2)=0} ogf] A167031 4.2608 [(893032820*f(x)-24594057)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+x^2-f(x)-x+1) ogf] A167031 4.65799 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=20,a(2)=337} ogf] A167031 8.03448 [-(20-166*x+64*x^4-128*x^3+255*x^2)/(x-1)/(4*x-1)/(16*x-1)/(x^2-x+1) lgdogf] A167031 8.58817 [-(x^2-x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A167032 4.41981 [(433892052*f(x)-24249121)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+x^2-f(x)+1) ogf] A167032 4.68200 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=21,a(2)=358} ogf] A167032 9.20793 [-(x^2+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A167032 9.49374 [-(21-166*x+64*x^4+171*x^2)/(x-1)/(4*x-1)/(16*x-1)/(x^2+1) lgdogf] A167033 4.44248 [(2257660*f(x)-190819)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+x^2-f(x)+x+1) ogf] A167033 4.70601 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=22,a(2)=379} ogf] A167033 8.24207 [-(22-166*x+64*x^4+128*x^3+87*x^2)/(x-1)/(4*x-1)/(16*x-1)/(x^2+x+1) lgdogf] A167033 8.67670 [-(x^2+x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A167048 5.63780 [(18*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-34*x^3+2*x^2-34*x+2) ogf] A167049 4.35345 [-(f(x)-1)*(18*f(x)*x-f(x)+x+1)*(18*f(x)*x+f(x)-37*x-1) ogf] A167049 5.01307 [(19*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-36*x^3+2*x^2-36*x+2) ogf] A167073 4.40209 [-(f(x)-1)*(19*f(x)*x-f(x)+x+1)*(19*f(x)*x+f(x)-39*x-1) ogf] A167073 5.06908 [(20*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-38*x^3+2*x^2-38*x+2) ogf] A167074 4.47506 [-(f(x)-1)*(20*f(x)*x-f(x)+x+1)*(20*f(x)*x+f(x)-41*x-1) ogf] A167074 5.15310 [(21*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-40*x^3+2*x^2-40*x+2) ogf] A167075 4.49938 [-(f(x)-1)*(21*f(x)*x-f(x)+x+1)*(21*f(x)*x+f(x)-43*x-1) ogf] A167075 5.18110 [(22*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-42*x^3+2*x^2-42*x+2) ogf] A167076 4.62098 [-(f(x)-1)*(22*f(x)*x-f(x)+x+1)*(22*f(x)*x+f(x)-45*x-1) ogf] A167076 5.32113 [(23*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-44*x^3+2*x^2-44*x+2) ogf] A167077 4.6453 [-(f(x)-1)*(23*f(x)*x-f(x)+x+1)*(23*f(x)*x+f(x)-47*x-1) ogf] A167077 5.34914 [(24*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-46*x^3+2*x^2-46*x+2) ogf] A167078 4.69394 [-(f(x)-1)*(24*f(x)*x-f(x)+x+1)*(24*f(x)*x+f(x)-49*x-1) ogf] A167078 5.40515 [(25*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-48*x^3+2*x^2-48*x+2) ogf] A167079 4.74259 [-(f(x)-1)*(25*f(x)*x-f(x)+x+1)*(25*f(x)*x+f(x)-51*x-1) ogf] A167079 5.46116 [(26*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-50*x^3+2*x^2-50*x+2) ogf] A167080 4.79123 [-(f(x)-1)*(26*f(x)*x-f(x)+x+1)*(26*f(x)*x+f(x)-53*x-1) ogf] A167080 5.51717 [(27*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-52*x^3+2*x^2-52*x+2) ogf] A167081 4.86419 [-(f(x)-1)*(27*f(x)*x-f(x)+x+1)*(27*f(x)*x+f(x)-55*x-1) ogf] A167081 5.60119 [(28*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-54*x^3+2*x^2-54*x+2) ogf] A167082 4.88851 [-(f(x)-1)*(28*f(x)*x-f(x)+x+1)*(28*f(x)*x+f(x)-57*x-1) ogf] A167082 5.62920 [(29*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-56*x^3+2*x^2-56*x+2) ogf] A167083 4.93715 [-(f(x)-1)*(29*f(x)*x-f(x)+x+1)*(29*f(x)*x+f(x)-59*x-1) ogf] A167083 5.68521 [(30*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-58*x^3+2*x^2-58*x+2) ogf] A167084 4.96147 [-(f(x)-1)*(30*f(x)*x-f(x)+x+1)*(30*f(x)*x+f(x)-61*x-1) ogf] A167084 5.71321 [(31*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-60*x^3+2*x^2-60*x+2) ogf] A167085 4.96147 [-(f(x)-1)*(31*f(x)*x-f(x)+x+1)*(31*f(x)*x+f(x)-63*x-1) ogf] A167085 5.71321 [(32*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-62*x^3+2*x^2-62*x+2) ogf] A167086 5.13172 [-(f(x)-1)*(32*f(x)*x-f(x)+x+1)*(32*f(x)*x+f(x)-65*x-1) ogf] A167086 5.90925 [(33*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-64*x^3+2*x^2-64*x+2) ogf] A167087 5.13172 [-(f(x)-1)*(33*f(x)*x-f(x)+x+1)*(33*f(x)*x+f(x)-67*x-1) ogf] A167087 5.90925 [(34*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-66*x^3+2*x^2-66*x+2) ogf] A167088 5.13172 [-(f(x)-1)*(34*f(x)*x-f(x)+x+1)*(34*f(x)*x+f(x)-69*x-1) ogf] A167088 5.90925 [(35*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-68*x^3+2*x^2-68*x+2) ogf] A167089 5.18036 [-(f(x)-1)*(35*f(x)*x-f(x)+x+1)*(35*f(x)*x+f(x)-71*x-1) ogf] A167089 5.96527 [(36*x^12+x^11+2*x^3+2*x^2+2*x+2)/(x^11-70*x^3+2*x^2-70*x+2) ogf] A167090 5.35968 [-(36*f(x)*x-f(x)+x+1)*(36*f(x)*x+f(x)-73*x-1) ogf] A167090 7.79591 [(37*x^12+x^11+2*x+2)/(x^11-72*x+2) ogf] A167091 5.35968 [-(37*f(x)*x-f(x)+x+1)*(37*f(x)*x+f(x)-75*x-1) ogf] A167091 7.79591 [(38*x^12+x^11+2*x+2)/(x^11-74*x+2) ogf] A167092 5.4161 [-(38*f(x)*x-f(x)+x+1)*(38*f(x)*x+f(x)-77*x-1) ogf] A167092 7.87797 [(39*x^12+x^11+2*x+2)/(x^11-76*x+2) ogf] A167093 5.44431 [-(39*f(x)*x-f(x)+x+1)*(39*f(x)*x+f(x)-79*x-1) ogf] A167093 7.91900 [(40*x^12+x^11+2*x+2)/(x^11-78*x+2) ogf] A167094 5.50073 [-(40*f(x)*x-f(x)+x+1)*(40*f(x)*x+f(x)-81*x-1) ogf] A167094 8.00106 [(41*x^12+x^11+2*x+2)/(x^11-80*x+2) ogf] A167095 5.50073 [-(41*f(x)*x-f(x)+x+1)*(41*f(x)*x+f(x)-83*x-1) ogf] A167095 8.00106 [(42*x^12+x^11+2*x+2)/(x^11-82*x+2) ogf] A167096 5.52894 [-(42*f(x)*x-f(x)+x+1)*(42*f(x)*x+f(x)-85*x-1) ogf] A167096 8.04209 [(43*x^12+x^11+2*x+2)/(x^11-84*x+2) ogf] A167097 5.55714 [-(43*f(x)*x-f(x)+x+1)*(43*f(x)*x+f(x)-87*x-1) ogf] A167097 8.08312 [(44*x^12+x^11+2*x+2)/(x^11-86*x+2) ogf] A167098 5.61356 [-(44*f(x)*x-f(x)+x+1)*(44*f(x)*x+f(x)-89*x-1) ogf] A167098 8.16518 [(45*x^12+x^11+2*x+2)/(x^11-88*x+2) ogf] A167099 5.61356 [-(45*f(x)*x-f(x)+x+1)*(45*f(x)*x+f(x)-91*x-1) ogf] A167099 8.16518 [(46*x^12+x^11+2*x+2)/(x^11-90*x+2) ogf] A167100 5.61356 [-(46*f(x)*x-f(x)+x+1)*(46*f(x)*x+f(x)-93*x-1) ogf] A167100 8.16518 [(47*x^12+x^11+2*x+2)/(x^11-92*x+2) ogf] A167101 5.7264 [-(47*f(x)*x-f(x)+x+1)*(47*f(x)*x+f(x)-95*x-1) ogf] A167101 8.32930 [(48*x^12+x^11+2*x+2)/(x^11-94*x+2) ogf] A167102 5.7264 [-(48*f(x)*x-f(x)+x+1)*(48*f(x)*x+f(x)-97*x-1) ogf] A167102 8.32930 [(49*x^12+x^11+2*x+2)/(x^11-96*x+2) ogf] A167103 5.7264 [-(49*f(x)*x-f(x)+x+1)*(49*f(x)*x+f(x)-99*x-1) ogf] A167103 8.32930 [(50*x^12+x^11+2*x+2)/(x^11-98*x+2) ogf] A167105 9.77429 [(f(x)-1)*(3*f(x)*x-f(x)+x+1)^2 ogf] A167106 3.42633 [(5*x^13+x^12+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^12-8*x^9+2*x^8-8*x^7+2*x^6-8*x^5+2*x^4-8*x^3+2*x^2-8*x+2) ogf] A167106 9.81876 [(f(x)-1)*(4*f(x)*x-f(x)+x+1)^2 ogf] A167107 3.75071 [(6*x^13+x^12+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^12-10*x^7+2*x^6-10*x^5+2*x^4-10*x^3+2*x^2-10*x+2) ogf] A167107 9.18086 [(f(x)-1)*(5*f(x)*x-f(x)+x+1)^2 ogf] A167108 3.69426 [(7*x^13+x^12+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^12-12*x^7+2*x^6-12*x^5+2*x^4-12*x^3+2*x^2-12*x+2) ogf] A167108 9.04269 [(f(x)-1)*(6*f(x)*x-f(x)+x+1)^2 ogf] A167109 4.45929 [(8*x^13+x^12+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^12-14*x^5+2*x^4-14*x^3+2*x^2-14*x+2) ogf] A167109 8.71892 [(f(x)-1)*(7*f(x)*x-f(x)+x+1)^2 ogf] A167110 4.68798 [(9*x^13+x^12+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^12-16*x^5+2*x^4-16*x^3+2*x^2-16*x+2) ogf] A167110 9.16605 [(f(x)-1)*(8*f(x)*x-f(x)+x+1)^2 ogf] A167111 4.34974 [(10*x^13+x^12+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^12-18*x^5+2*x^4-18*x^3+2*x^2-18*x+2) ogf] A167111 8.56964 [(f(x)-1)*(9*f(x)*x-f(x)+x+1)^2 ogf] A167112 5.60557 [(11*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-20*x^3+2*x^2-20*x+2) ogf] A167113 5.60557 [(12*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-22*x^3+2*x^2-22*x+2) ogf] A167114 4.39894 [-(f(x)-1)*(12*f(x)*x-f(x)+x+1)*(12*f(x)*x+f(x)-25*x-1) ogf] A167114 5.06543 [(13*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-24*x^3+2*x^2-24*x+2) ogf] A167115 4.49835 [-(f(x)-1)*(13*f(x)*x-f(x)+x+1)*(13*f(x)*x+f(x)-27*x-1) ogf] A167115 5.17991 [(14*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-26*x^3+2*x^2-26*x+2) ogf] A167116 4.62261 [-(f(x)-1)*(14*f(x)*x-f(x)+x+1)*(14*f(x)*x+f(x)-29*x-1) ogf] A167116 5.32300 [(15*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-28*x^3+2*x^2-28*x+2) ogf] A167117 4.69717 [-(f(x)-1)*(15*f(x)*x-f(x)+x+1)*(15*f(x)*x+f(x)-31*x-1) ogf] A167117 5.40886 [(16*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-30*x^3+2*x^2-30*x+2) ogf] A167120 3.93836 [{a(n+4)-21*a(n+3)+84*a(n+2)-64*a(n+1),a(0)=1,a(1)=22,a(2)=376,a(3)=6113} ogf] A167120 4.05336 [(-27350179+552636889*f(x))*(64*f(x)*x^3-84*f(x)*x^2+x^3+21*f(x)*x-2*x^2-f(x)+x+1) ogf] A167120 7.55523 [(-22+172*x+44*x^4-86*x^3-153*x^2)/(x-1)/(4*x-1)/(16*x-1)/(x^3-2*x^2+x+1) lgdogf] A167120 7.71262 [-(x^3-2*x^2+x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A167121 3.93836 [{a(n+4)-21*a(n+3)+84*a(n+2)-64*a(n+1),a(0)=1,a(1)=22,a(2)=377,a(3)=6134} ogf] A167121 3.99503 [(2476175393*f(x)-137603752)*(64*f(x)*x^3-84*f(x)*x^2+x^3+21*f(x)*x-x^2-f(x)+x+1) ogf] A167121 7.71262 [-(x^3-x^2+x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A167121 7.77109 [-2*(11-85*x+10*x^4+43*x^3+66*x^2)/(x-1)/(4*x-1)/(16*x-1)/(x^3-x^2+x+1) lgdogf] A167122 3.93836 [{a(n+4)-21*a(n+3)+84*a(n+2)-64*a(n+1),a(0)=1,a(1)=22,a(2)=378,a(3)=6155} ogf] A167122 4.37252 [(43093287*f(x)-2692580)*(64*f(x)*x^3-84*f(x)*x^2+x^3+21*f(x)*x-f(x)+x+1) ogf] A167122 8.24207 [-(22-168*x+84*x^4+86*x^3+111*x^2)/(x-1)/(4*x-1)/(16*x-1)/(x^3+x+1) lgdogf] A167122 8.67670 [-(x^3+x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A167124 4.82143 [-(f(x)-1)*(16*f(x)*x-f(x)+x+1)*(16*f(x)*x+f(x)-33*x-1) ogf] A167124 5.55195 [(17*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-32*x^3+2*x^2-32*x+2) ogf] A167125 4.89599 [-(f(x)-1)*(17*f(x)*x-f(x)+x+1)*(17*f(x)*x+f(x)-35*x-1) ogf] A167125 5.63780 [(18*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-34*x^3+2*x^2-34*x+2) ogf] A167126 7.29843 [(f(x)-1)^2*(18*f(x)*x-f(x)+x+1) ogf] A167126 7.51961 [(19*x^13+x^12+2*x+2)/(x^12-36*x+2) ogf] A167127 3.53307 [-(324661177283618152859861058058000000*f(x)-5373122334665595358430968777261396121)*(1000000*f(x)*x^4+884736*x^3+68921*x^2-f(x)+216*x+1) ogf] A167127 8.35524 [-(884736*x^3+68921*x^2+216*x+1)/(1000*x^2-1)/(1000*x^2+1) ogf] A167148 7.37998 [(f(x)-1)^2*(19*f(x)*x-f(x)+x+1) ogf] A167148 7.60362 [(20*x^13+x^12+2*x+2)/(x^12-38*x+2) ogf] A167149 13.2276 [-x*(9997*x+1)/(x-1)^3 ogf] A167149 20.1952 [-2*(5000+9997*x)/(9997*x+1)/(x-1) lgdogf] A167149 5.32653 [-(29980005099400028*f(x)-99910032993900569979)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9997*x^2-f(x)+x) ogf] A167149 6.90134 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=10000} ogf] A167150 7.5023 [(f(x)-1)^2*(20*f(x)*x-f(x)+x+1) ogf] A167150 7.72965 [(21*x^13+x^12+2*x+2)/(x^12-40*x+2) ogf] A167155 10.4589 [(6-10*x+35*x^6+18*x^10-62*x^7+37*x^8-28*x^9+5*x^2)/(x-1)/(2*x^10-x^9+4*x^8-5*x^7+5*x^2-5*x-1) lgdogf] A167155 12.7089 [(2*x^10-x^9+4*x^8-5*x^7+5*x^2-5*x-1)/(x-1) ogf] A167166 7.20683 [-x*(15*x^14+5*x^12+3*x^10+9*x^8+7*x^6+13*x^4+11*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A167167 13.9058 [-(2*x^2+2*x-1)/(2*x-1)/(x+1) ogf] A167167 18.6264 [-(1+2*x^2)/(-1+2*x)/(x+1)/(2*x^2+2*x-1) lgdogf] A167167 7.22558 [{a(n+3)-a(n+2)-2*a(n+1),a(0)=-1,a(1)=1,a(2)=1} ogf] A167167 7.59803 [-(f(x)+2)*(2*f(x)*x^2+f(x)*x+2*x^2-f(x)+2*x-1) ogf] A167173 7.54307 [(f(x)-1)^2*(21*f(x)*x-f(x)+x+1) ogf] A167173 7.77165 [(22*x^13+x^12+2*x+2)/(x^12-42*x+2) ogf] A167174 7.74694 [(f(x)-1)^2*(22*f(x)*x-f(x)+x+1) ogf] A167174 7.98170 [(23*x^13+x^12+2*x+2)/(x^12-44*x+2) ogf] A167176 11.0454 [{-a(n+3)+a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A167176 16.9062 [-f(x)*x^3-8*x^2+f(x)-x ogf] A167176 18.4090 [-x*(8*x+1)/(x-1)/(x^2+x+1) ogf] A167176 23.7238 [-(8+16*x^3+3*x^2)/(x-1)/(8*x+1)/(x^2+x+1) lgdogf] A167177 17.3257 [-(2+10*x+13*x^4+21*x^3+17*x^2)/(x^2+x+1)/(x^3+x^2+1) lgdogf] A167177 6.33794 [1/(x^2+x+1)^2/(x^3+x^2+1)^3 ogf] A167179 10.5938 [-(5*x^13-5*x^12-2*x^6-x^5+2*x-4)/(x-1)^2 ogf] A167179 9.32658 [(6-2*x+5*x^4-8*x^6+9*x^5+60*x^11-115*x^12+55*x^13)/(x-1)/(5*x^13-5*x^12-2*x^6-x^5+2*x-4) lgdogf] A167183 7.78771 [(f(x)-1)^2*(23*f(x)*x-f(x)+x+1) ogf] A167183 8.02371 [(24*x^13+x^12+2*x+2)/(x^12-46*x+2) ogf] A167190 7.15173 [-(x^3-13132*x^2-60931*x-17594)/(x-1)^4 ogf] A167190 9.04293 [-(-131307-209057*x+x^3-26261*x^2)/(x-1)/(x^3-13132*x^2-60931*x-17594) lgdogf] A167191 13.8552 [-(857+1431*x+192*x^2)/(x-1)/(96*x^2+413*x+111) lgdogf] A167191 3.82478 [(622945258420960*f(x)+4833496374470475273)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2304*x^2+f(x)-9912*x-2664) ogf] A167191 8.33608 [24*(96*x^2+413*x+111)/(x-1)^4 ogf] A167193 15.1467 [(x^2-2*x-1)/(x-1)/(2*x+1)/(x+1) ogf] A167193 19.1865 [-2*x^2*(x^2-4*x-3)/(-1+x)/(2*x+1)/(x+1)/(x^2-2*x-1) lgdogf] A167193 8.32385 [(f(x)-1)*(2*f(x)*x^3+f(x)*x^2-2*f(x)*x-x^2-f(x)+2*x+1) ogf] A167193 8.39953 [{a(n+3)+2*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A167199 2.47918 [-f(x)*x^2-4*f(x)*x-2*f(x)+2 egf] A167199 4.43248 [2/(x^2+4*x+2) egf] A167199 7.43349 [-2*(2+x)/(x^2+4*x+2) lgdegf] A167205 10.0373 [-(3*x^3+5*x^2-x-1)/(x-1)/(3*x-1)/(3*x+1)/(x+1) ogf] A167205 6.02239 [-(242*f(x)-101)*(9*f(x)*x^4-10*f(x)*x^2+3*x^3+5*x^2+f(x)-x-1) ogf] A167205 7.46299 [-(1+10*x+3*x^4-36*x^3+27*x^6+90*x^5+x^2)/(x-1)/(-1+3*x)/(1+3*x)/(x+1)/(3*x^3+5*x^2-x-1) lgdogf] A167208 5.13612 [(99*x^10+11*x^9+101*x^8+111*x^7+111*x^6+111*x^5+111*x^4+111*x^3+111*x^2+111*x+12)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A167212 7.86926 [(f(x)-1)^2*(24*f(x)*x-f(x)+x+1) ogf] A167212 8.10773 [(25*x^13+x^12+2*x+2)/(x^12-48*x+2) ogf] A167225 7.95081 [(f(x)-1)^2*(25*f(x)*x-f(x)+x+1) ogf] A167225 8.19174 [(26*x^13+x^12+2*x+2)/(x^12-50*x+2) ogf] A167226 8.03235 [(f(x)-1)^2*(26*f(x)*x-f(x)+x+1) ogf] A167226 8.27576 [(27*x^13+x^12+2*x+2)/(x^12-52*x+2) ogf] A167235 8.15467 [(f(x)-1)^2*(27*f(x)*x-f(x)+x+1) ogf] A167235 8.40179 [(28*x^13+x^12+2*x+2)/(x^12-54*x+2) ogf] A167238 6.39639 [-(x^4-4*x^3+2*x^2-2*x-1)/(x+1)/(x-1)^4 ogf] A167238 8.41348 [-(-5-7*x+x^5-5*x^4-2*x^3-14*x^2)/(-1+x)/(x+1)/(x^4-4*x^3+2*x^2-2*x-1) lgdogf] A167280 7.82347 [-x^2*(5*x^9+8*x^8+4*x^7+7*x^6+8*x^5+4*x^4+7*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A167285 8.19545 [(f(x)-1)^2*(28*f(x)*x-f(x)+x+1) ogf] A167285 8.44380 [(29*x^13+x^12+2*x+2)/(x^12-56*x+2) ogf] A167291 12.8063 [-2*(3*x^2+1)/(x-1)/(4*x^2+1) ogf] A167291 16.4313 [-(1-2*x+12*x^4+9*x^2)/(x-1)/(1+4*x^2)/(3*x^2+1) lgdogf] A167291 6.57619 [-(f(x)-2)*(4*f(x)*x^3-4*f(x)*x^2+f(x)*x+6*x^2-f(x)+2) ogf] A167291 6.57619 [{a(n+3)-a(n+2)+4*a(n+1)-4*a(n),a(0)=2,a(1)=2,a(2)=0} ogf] A167370 5.66643 [-(f(x)-1)*(29*f(x)*x-f(x)+x+1)*(29*f(x)*x+f(x)-59*x-1) ogf] A167370 6.52497 [(30*x^13+x^12+2*x^3+2*x^2+2*x+2)/(x^12-58*x^3+2*x^2-58*x+2) ogf] A167373 13.9619 [f(x)*x^2+f(x)*x-3*x^2+f(x)-4*x-1 ogf] A167373 18.7036 [(x+1)*(3*x+1)/(x^2+x+1) ogf] A167373 34.9676 [-(-3-4*x+x^2)/(3*x+1)/(x+1)/(x^2+x+1) lgdogf] A167373 9.71856 [{a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=-1} ogf] A167375 15.3247 [(3*x^2+1)/(x^2-3*x+1) ogf] A167375 19.9308 [-(-3-4*x+9*x^2)/(x^2-3*x+1)/(3*x^2+1) lgdogf] A167375 7.29037 [{-a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=11} ogf] A167375 7.74131 [-(224*f(x)-305)*(f(x)*x^2-3*f(x)*x-3*x^2+f(x)-1) ogf] A167378 8.31777 [(f(x)-1)^2*(30*f(x)*x-f(x)+x+1) ogf] A167378 8.56982 [(31*x^13+x^12+2*x+2)/(x^12-60*x+2) ogf] A167380 12.5996 [(x+1)*(3*x^2+1)/(x^2-x+1) ogf] A167380 18.2933 [(2+4*x+3*x^4+5*x^2-6*x^3)/(x+1)/(x^2-x+1)/(3*x^2+1) lgdogf] A167380 6.74191 [{-a(n+4)+a(n+3)-a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=5} ogf] A167380 7.25074 [-(11*f(x)-3)*(f(x)*x^2-3*x^3-f(x)*x-3*x^2+f(x)-x-1) ogf] A167381 15.6513 [-(x^3-3*x^2-3)/(x^2+1) ogf_with_Euler_transform] A167382 8.31777 [(f(x)-1)^2*(31*f(x)*x-f(x)+x+1) ogf] A167382 8.56982 [(32*x^13+x^12+2*x+2)/(x^12-62*x+2) ogf] A167385 13.8538 [(x+1)^2/(x-1)/(x^3+x^2-1) ogf] A167385 19.2989 [-(-3-x+2*x^4+4*x^3)/(x-1)/(x+1)/(x^3+x^2-1) lgdogf] A167385 7.54535 [(49*f(x)-4)*(f(x)*x^4-f(x)*x^2-f(x)*x-x^2+f(x)-2*x-1) ogf] A167386 12.2547 [(3*x+1)/(x+1)^4 ogf] A167386 36.8670 [-(1+9*x)/(x+1)/(3*x+1) lgdogf] A167386 4.95056 [{(n+3)*a(n+3)+(9+4*n)*a(n+2)+(12+3*n)*a(n+1),a(0)=1,a(1)=-1,a(2)=-2} ogf] A167386 5.75026 [-(832*f(x)-1103)*(f(x)*x^4+4*f(x)*x^3+6*f(x)*x^2+4*f(x)*x+f(x)-3*x-1) ogf] A167387 10.1443 [(3*x+1)/(x+1)^5 ogf] A167387 11.7395 [-372-2232*x+(-404-2052*x-558*x^2)*f(x)+(-327*x^2-109-436*x)*f(x)^2 lgdogf] A167387 4.76982 [{(n+3)*a(n+3)+(10+4*n)*a(n+2)+(15+3*n)*a(n+1),a(0)=1,a(1)=-2,a(2)=0} ogf] A167391 8.60318 [(f(x)-1)^2*(32*f(x)*x-f(x)+x+1) ogf] A167391 8.86388 [(33*x^13+x^12+2*x+2)/(x^12-64*x+2) ogf] A167396 8.60318 [(f(x)-1)^2*(33*f(x)*x-f(x)+x+1) ogf] A167396 8.86388 [(34*x^13+x^12+2*x+2)/(x^12-66*x+2) ogf] A167398 10.4366 [-89*x/(x^2+199*x-1) ogf] A167398 17.0838 [-(199+2*x)/(x^2-1+199*x) lgdogf] A167398 4.96982 [{-a(n+2)+199*a(n+1)+a(n),a(0)=0,a(1)=89} ogf] A167398 6.7333 [-f(x)*x^2-199*f(x)*x+f(x)-89*x ogf] A167398 8.03941 [1/2*(-89-199*x+(89+398*x+445*x^2)^(1/2)*89^(1/2))/x revogf] A167405 8.60318 [(f(x)-1)^2*(34*f(x)*x-f(x)+x+1) ogf] A167405 8.86388 [(35*x^13+x^12+2*x+2)/(x^12-68*x+2) ogf] A167406 3.61073 [{(-8*n^3-64*n^2-168*n-144)*a(n+1)+(-4*n^2-24*n-36)*a(n+2)+a(n+3),a(0)=0,a(1)=4,a(2)=64} ogf] A167418 14.0345 [-2*(2-5*x+150*x^2)/(-5*x^2-1+4*x+100*x^3) lgdogf] A167418 15.0665 [-1/(100*x^3-5*x^2+4*x-1) ogf] A167418 5.10950 [{a(n+3)-4*a(n+2)+5*a(n+1)-100*a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A167418 5.39076 [-(323*f(x)-464)*(100*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A167420 11.2632 [(f(x)-1)*(f(x)*x^3+7*x^3+4*x^2-f(x)+2*x+1) ogf] A167420 14.0989 [-2*(1+4*x+2*x^4+12*x^2+2*x^3)/(x-1)/(x^2+x+1)/(7*x^3+4*x^2+2*x+1) lgdogf] A167420 16.4009 [-(7*x^3+4*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A167420 9.73802 [{-a(n+4)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A167421 6.94383 [-2*(1+2*x+8*x^9+2*x^8-28*x^6+44*x^5-27*x^4+12*x^3+3*x^10+5*x^2)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(11*x^6-5*x^5+8*x^4+4*x^3+2*x^2+x+1) lgdogf] A167421 9.78964 [-(11*x^6-5*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A167422 8.94829 [f(x)^2*x-f(x)*x+x^2-f(x)+2*x+1 ogf] A167423 11.0395 [-(-1-13*x+x^4+18*x^2-9*x^3)/(x^2-3*x+1)/(x^3-6*x^2+7*x-1) lgdogf] A167423 4.45273 [-(44375*f(x)+20814)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-6*x^2+f(x)+7*x-1) ogf] A167423 8.56295 [-(x^3-6*x^2+7*x-1)/(x^2-3*x+1)^2 ogf] A167425 9.10441 [-(13*x^7+7*x^6-10*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A167426 10.8807 [2*(-1-4*x-12*x^2-30*x^3-2*x^4+7*x^6)/(x-1)/(x^2+x+1)/(14*x^4+7*x^3+4*x^2+2*x+1) lgdogf] A167426 13.2925 [-(14*x^4+7*x^3+4*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A167426 8.04864 [{-a(n+5)+a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=16} ogf] A167426 9.96934 [-f(x)*(f(x)*x^3+14*x^4+7*x^3+4*x^2-f(x)+2*x+1) ogf] A167429 8.68473 [(f(x)-1)^2*(35*f(x)*x-f(x)+x+1) ogf] A167429 8.94791 [(36*x^13+x^12+2*x+2)/(x^12-70*x+2) ogf] A167433 13.0325 [(2*x-1)^2/(2*x^2-x+1) ogf] A167433 27.9205 [(3+2*x)/(2*x-1)/(2*x^2-x+1) lgdogf] A167433 6.77180 [{-a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=-3,a(2)=-1} ogf] A167433 8.12617 [f(x)*(2*f(x)*x^2-f(x)*x-4*x^2+f(x)+4*x-1) ogf] A167434 12.0998 [(2*x-1)^2/(2*x^3-x^2+1) ogf] A167434 17.2149 [-2*(-2+x+2*x^3-3*x^2)/(2*x-1)/(2*x^3-x^2+1) lgdogf] A167434 6.82857 [-(427*f(x)-608)*(2*f(x)*x^3-f(x)*x^2-4*x^2+f(x)+4*x-1) ogf] A167434 7.33709 [{-a(n+3)+a(n+1)-2*a(n),a(0)=1,a(1)=-4,a(2)=5} ogf] A167440 4.21478 [(6937215*f(x)-72712928)*(512*f(x)*x^3-336*f(x)*x^2+42*f(x)*x+512*x^2-f(x)+640*x+2) ogf] A167440 4.55745 [{a(n+3)-42*a(n+2)+336*a(n+1)-512*a(n),a(0)=2,a(1)=724,a(2)=30248} ogf] A167440 6.31878 [-2*(181-80*x+65536*x^4+163840*x^3-58368*x^2)/(32*x-1)/(2*x-1)/(8*x-1)/(256*x^2+320*x+1) lgdogf] A167440 8.00809 [-2*(256*x^2+320*x+1)/(2*x-1)/(8*x-1)/(32*x-1) ogf] A167449 4.49300 [{(n^3+6*n^2+12*n+8)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=2} ogf] A167465 6.77785 [-x*(15*x^14+13*x^12+11*x^10+9*x^8+7*x^6+5*x^4+3*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A167467 15.2671 [-(-190-354*x+x^3-57*x^2)/(x-1)/(x^3-30*x^2-98*x-23) lgdogf] A167467 4.95527 [(7603351200*f(x)+587721053033)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-30*x^2+f(x)-98*x-23) ogf] A167467 9.91054 [-(x^3-30*x^2-98*x-23)/(x-1)^4 ogf] A167468 7.14624 [-(f(x)-1)*(36*f(x)*x-f(x)+x+1) ogf] A167468 7.79591 [(37*x^13+x^12+2*x+2)/(x^12-72*x+2) ogf] A167469 15.4224 [-3*(3*x+2)/(x-1)^3 ogf] A167469 33.4270 [-3*(3+2*x)/(3*x+2)/(x-1) lgdogf] A167469 7.17004 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=27,a(2)=63} ogf] A167469 7.56838 [(475*f(x)-4632)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+9*x+6) ogf] A167471 10.0039 [16*(x+1)*(3*x+1)/(x-1)^4 ogf] A167471 3.51357 [{(n+4)*a(n+4)+(1+3*n)*a(n+3)+(-20-n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=16,a(1)=128,a(2)=464,a(3)=1152} ogf] A167471 5.14486 [(5360*f(x)+291527)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-48*x^2+f(x)-64*x-16) ogf] A167477 12.8369 [-(x-1)*(x^3-6*x^2-3)/(x^2-3*x+1)/(x^3-5*x^2+3*x-1) lgdogf] A167477 4.48546 [(25000*f(x)+19953)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-5*x^2+f(x)+3*x-1) ogf] A167477 8.39587 [-(x^3-5*x^2+3*x-1)/(x^2-3*x+1)^2 ogf] A167478 12.2480 [-(4+2*x+x^4-9*x^3+3*x^2)/(x^2-3*x+1)/(x^3-6*x^2+2*x-1) lgdogf] A167478 4.55693 [(167800*f(x)+154983)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-6*x^2+f(x)+2*x-1) ogf] A167478 8.64650 [-(x^3-6*x^2+2*x-1)/(x^2-3*x+1)^2 ogf] A167479 15.5594 [1/8/x^2*(-1+2*x-4*x^2+(1-4*x+12*x^2)^(1/2)) revogf] A167479 4.47448 [{(8*n+20)*a(n+1)+(2*n+2)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=-1,a(2)=4} ogf] A167479 7.11207 [-4*f(x)^2*x^3-4*f(x)^2*x^2-f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A167481 29.8896 [-12*x/(2*x+1)/(4*x-1) lgdogf] A167481 4.24892 [{(-n-3)*a(n+3)+(2*n+4)*a(n+2)+(20+8*n)*a(n+1),a(0)=1,a(1)=0,a(2)=6} ogf] A167481 9.80519 [16*f(x)^2*x^3+12*f(x)^2*x^2-f(x)^2+1 ogf] A167484 7.29685 [{(-n^3-7*n^2-16*n-12)*a(n+1)+2*a(n+2),a(0)=1,a(1)=1} ogf] A167487 13.4478 [-(7*x^2-14*x+8)/(x-1)^3 ogf] A167487 21.5232 [-(13-18*x+8*x^2)/(x-1)/(8*x^2-17*x+10) lgdogf] A167487 7.31369 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=10,a(2)=13} ogf] A167487 7.37842 [(f(x)-17)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-14*x+8) ogf] A167492 7.14624 [-(f(x)-1)*(37*f(x)*x-f(x)+x+1) ogf] A167492 7.79591 [(38*x^13+x^12+2*x+2)/(x^12-74*x+2) ogf] A167498 11.0049 [2*(x^3+33*x^2+27*x+3)/(x-1)^4 ogf] A167498 4.85689 [{(-7*n^2-34*n-40)*a(n+1)+(6*n^2+6*n+1)*a(n+2)+(n^2+4*n+3)*a(n+3),a(0)=6,a(1)=78,a(2)=342} ogf] A167498 5.91417 [(4196*f(x)+205987)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-66*x^2+f(x)-54*x-6) ogf] A167499 13.7684 [-(5*x^2-10*x+6)/(x-1)^3 ogf] A167499 22.6402 [-(11-14*x+6*x^2)/(x-1)/(6*x^2-13*x+8) lgdogf] A167499 7.23426 [-(11*f(x)-21)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-10*x+6) ogf] A167499 7.55435 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=8,a(2)=11} ogf] A167519 4.70194 [-(109*x^14+10987*x^13+6*x^10+2*x^9-x^8-x^7-x^6-111*x^5-10988*x^4-x^3-x^2-7*x-3)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A167528 8.19382 [-x*(49*x^8+18*x^7+7*x^6+26*x^5+25*x^4+24*x^3+43*x^2+32*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A167533 12.4528 [(12*x^2+47*x+12)/(x+1)/(x-1)^2 ogf] A167533 14.2106 [-(59+107*x+12*x^3+106*x^2)/(x-1)/(x+1)/(12*x^2+47*x+12) lgdogf] A167533 6.47952 [-(35*f(x)-24587)*(f(x)*x^3-f(x)*x^2-f(x)*x-12*x^2+f(x)-47*x-12) ogf] A167533 6.93027 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=12,a(1)=59,a(2)=83} ogf] A167534 12.9787 [(9*x^2+61*x+9)/(x+1)/(x-1)^2 ogf] A167534 15.1785 [-(70+106*x+9*x^3+131*x^2)/(x-1)/(x+1)/(9*x^2+61*x+9) lgdogf] A167534 6.81933 [(325*f(x)+30616)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-61*x-9) ogf] A167534 7.05861 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=9,a(1)=70,a(2)=88} ogf] A167537 7.22147 [-(f(x)-1)*(38*f(x)*x-f(x)+x+1) ogf] A167537 7.87797 [(39*x^13+x^12+2*x+2)/(x^12-76*x+2) ogf] A167538 7.25908 [-(f(x)-1)*(39*f(x)*x-f(x)+x+1) ogf] A167538 7.91900 [(40*x^13+x^12+2*x+2)/(x^12-78*x+2) ogf] A167541 11.2836 [-(3*x-2)/(x-1)^4 ogf] A167541 36.9281 [-(9*x-5)/(3*x-2)/(x-1) lgdogf] A167541 4.52829 [{(-2*n-6)*a(n+3)+(15+5*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=2,a(1)=5,a(2)=8} ogf] A167541 5.68843 [(f(x)+2)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+3*x-2) ogf] A167543 11.1776 [-(3*x-2)/(x-1)^5 ogf] A167543 33.8508 [-(-7+12*x)/(3*x-2)/(x-1) lgdogf] A167543 5.18701 [{(-2*n-6)*a(n+3)+(17+5*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=-2,a(1)=-7,a(2)=-15} ogf] A167544 13.8727 [-(3*x-2)/(x-1)^3 ogf] A167544 29.5674 [-3*(2*x-1)/(3*x-2)/(-1+x) lgdogf] A167544 6.56475 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-2,a(1)=-3,a(2)=-3} ogf] A167544 7.13836 [(7*f(x)+5)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3*x-2) ogf] A167545 10.7918 [-x*(x^4+8*x^2+1)/(x-1)/(x+1)/(x^4+1) ogf] A167545 16.4861 [-2*x*(9-6*x^4+16*x^6+x^8)/(x-1)/(x+1)/(x^4+8*x^2+1)/(1+x^4) lgdogf] A167547 15.5286 [-4*(6+10*x+x^3+4*x^2)/(x-1)/(4*x^3+2*x^2+12*x+3) lgdogf] A167547 4.90133 [{(2*n^2+2*n)*a(n)+(3*n^2+35*n+40)*a(n+1)+(-5*n^2-16*n-12)*a(n+2),a(0)=6,a(1)=48} ogf] A167547 5.20347 [(11313*f(x)+83290)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-4*x^2+f(x)-24*x-6) ogf] A167547 9.73982 [2*(4*x^3+2*x^2+12*x+3)/(x-1)^4 ogf] A167548 13.0651 [-(10+20*x+6*x^2+8*x^3+x^4)/(x-1)/(x^4+2*x^3+5*x+1) lgdogf] A167548 7.24701 [-24*(x^4+2*x^3+5*x+1)/(x-1)^5 ogf] A167549 5.12927 [24*(6*x^5+3*x^4+16*x^3-5*x^2+30*x+5)/(x-1)^6 ogf] A167549 7.82310 [-2*(30+70*x+14*x^2+30*x^3+18*x^4+3*x^5)/(x-1)/(6*x^5+3*x^4+16*x^3-5*x^2+30*x+5) lgdogf] A167550 12.9068 [(2*x+1)/(4*x-1)/(x-1) egf] A167550 15.3912 [-(-7+8*x+8*x^2)/(x-1)/(2*x+1)/(4*x-1) lgdegf] A167550 6.67596 [(27*f(x)+22)*(4*f(x)*x^2-5*f(x)*x+f(x)-2*x-1) egf] A167554 10.0643 [(x^2+3*x-2)/(x-1)^4 ogf] A167554 19.9472 [-(-5+11*x+2*x^2)/(-1+x)/(x^2+3*x-2) lgdogf] A167554 4.99596 [-(1120*f(x)+1247)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-3*x+2) ogf] A167555 14.0282 [-(14+28*x+39*x^2+3*x^3)/(x-1)/(x^3+9*x^2+2*x+2) lgdogf] A167555 3.46939 [{(-167*n^2-1430*n-3048)*a(n+1)+(166*n^2+426*n-925)*a(n+2)+(n^2+164*n+483)*a(n+3),a(0)=2,a(1)=14,a(2)=63} ogf] A167555 7.01106 [(x^3+9*x^2+2*x+2)/(x-1)^6 ogf] A167558 11.7534 [(4*x+1)/(4*x-1)^2 egf] A167558 19.6135 [-4*(4*x+3)/(-1+4*x)/(4*x+1) lgdegf] A167558 3.12517 [{(-8*n^2-32*n-32)*a(n+1)+(-4*n^2-26*n-48)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=12,a(2)=160} ogf] A167558 6.1438 [(16*f(x)+65)*(16*f(x)*x^2-8*f(x)*x+f(x)-4*x-1) egf] A167561 20.4955 [-2*(5-x+2*x^2)/(x-1)/(2*x^2-2*x+3) lgdogf] A167561 5.11561 [(2241*f(x)+10120)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-16*x^2+f(x)+16*x-24) ogf] A167561 9.87597 [8*(2*x^2-2*x+3)/(x-1)^4 ogf] A167562 12.9978 [-(20-8*x+12*x^2+x^4)/(x-1)/(x^4-2*x^3+6*x^2-5*x+5) lgdogf] A167562 6.44037 [-24*(x^4-2*x^3+6*x^2-5*x+5)/(x-1)^5 ogf] A167563 5.45810 [48*(3*x^2-x+3)*(3*x^2-5*x+5)/(x-1)^6 ogf] A167563 9.75883 [-2*(35-21*x+31*x^2-9*x^3+9*x^4)/(x-1)/(3*x^2-x+3)/(3*x^2-5*x+5) lgdogf] A167566 20.1799 [-2*(8+11*x+2*x^2)/(x-1)/(x^2+4*x+2) lgdogf] A167566 3.56575 [{(2*n+8)*a(n+4)+(-10+2*n)*a(n+3)+(-28-3*n)*a(n+2)+(-5-n)*a(n+1),a(0)=2,a(1)=16,a(2)=67,a(3)=202} ogf] A167566 8.18501 [(x^2+4*x+2)/(x-1)^6 ogf] A167567 15.8876 [-2*(62+43*x+3*x^2)/(-1+x)/(x^2+12*x+14) lgdogf] A167567 5.62058 [x*(x^2+12*x+14)/(x-1)^8 ogf] A167570 13.7659 [-1/8*(-3-4*x+(9+16*x)^(1/2))/(1+2*x) revegf] A167570 18.3546 [-8*(5+4*x)/(4*x+3)/(-1+4*x) lgdegf] A167570 2.87730 [{(-8*n^2-40*n-48)*a(n+1)+(12*n^2+98*n+188)*a(n+2)+(-3*n-9)*a(n+3),a(0)=6,a(1)=80,a(2)=1344} ogf] A167570 4.48146 [(2264*f(x)-14475)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-f(x)+8*x+6) egf] A167570 9.04295 [-2*(4*x+3)/(4*x-1)^3 egf] A167571 3.15657 [{(-8*n^3-76*n^2-236*n-240)*a(n+1)+(10*n^2+75*n+140)*a(n+2)+(-2*n-9)*a(n+3),a(0)=1,a(1)=6,a(2)=54} ogf] A167573 11.9793 [-(3*x^2+14*x+23)/(x-1)^3 ogf] A167573 19.4747 [-(83+34*x+3*x^2)/(x-1)/(3*x^2+14*x+23) lgdogf] A167573 6.28911 [(1168*f(x)-27699)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+14*x+23) ogf] A167573 6.50597 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23,a(1)=83,a(2)=183} ogf] A167574 11.4937 [-3*(247+127*x+5*x^3+69*x^2)/(x-1)/(15*x^3+81*x^2+73*x+167) lgdogf] A167574 4.38864 [(993600*f(x)+104539829)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-15*x^3-4*f(x)*x-81*x^2+f(x)-73*x-167) ogf] A167574 8.29561 [(15*x^3+81*x^2+73*x+167)/(x-1)^4 ogf] A167575 6.04299 [-3*(35*x^4+220*x^3+138*x^2+268*x+491)/(x-1)^5 ogf] A167575 7.94534 [-(2723+1348*x+35*x^4+580*x^3+1074*x^2)/(x-1)/(35*x^4+220*x^3+138*x^2+268*x+491) lgdogf] A167581 18.7452 [-8*x*(2*x+7)/(2*x-1)/(4*x^2+8*x-1) lgdogf] A167581 4.59839 [-(232*f(x)+485)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x-4*x^2+f(x)-8*x+1) ogf] A167581 8.94133 [(4*x^2+8*x-1)/(2*x-1)^4 ogf] A167582 5.62065 [(8*x^3+84*x^2+62*x+3)/(2*x-1)^6 ogf] A167582 9.86844 [-2*(49+394*x+348*x^2+24*x^3)/(2*x-1)/(8*x^3+84*x^2+62*x+3) lgdogf] A167585 12.0186 [-(9*x^2+2*x+13)/(x-1)^3 ogf] A167585 19.7405 [-(41+22*x+9*x^2)/(x-1)/(9*x^2+2*x+13) lgdogf] A167585 6.20961 [(13824*f(x)-93067)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+2*x+13) ogf] A167585 6.47960 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=41,a(2)=93} ogf] A167586 12.2733 [-3*(31+15*x+13*x^2+5*x^3)/(x-1)/(15*x^3-3*x^2+17*x+19) lgdogf] A167586 4.45063 [(437184*f(x)+2458081)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-60*x^3-4*f(x)*x+12*x^2+f(x)-68*x-76) ogf] A167586 8.35180 [4*(15*x^3-3*x^2+17*x+19)/(x-1)^4 ogf] A167587 5.88595 [-3*(175*x^4-100*x^3+258*x^2+44*x+263)/(x-1)^5 ogf] A167587 7.66012 [-(1359+692*x+474*x^2+500*x^3+175*x^4)/(-1+x)/(175*x^4-100*x^3+258*x^2+44*x+263) lgdogf] A167588 5.20412 [{(4*n^2+20*n+21)*a(n+1)-a(n+3)+6*a(n+2),a(0)=1,a(1)=6,a(2)=41} ogf] A167589 4.20623 [{(4*n^2+20*n+9)*a(n+1)-a(n+3)+10*a(n+2),a(0)=1,a(1)=10,a(2)=93} ogf] A167592 10.2834 [2*(4*x-1)/(2*x-1)^4 ogf] A167592 24.3754 [-4*(6*x-1)/(-1+4*x)/(2*x-1) lgdogf] A167592 4.30154 [{(-n-3)*a(n+3)+(16+6*n)*a(n+2)+(-32-8*n)*a(n+1),a(0)=-2,a(1)=-8,a(2)=-16} ogf] A167592 5.10183 [-(7*f(x)+10)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+f(x)-8*x+2) ogf] A167593 12.8700 [-8*(15+28*x+52*x^2)/(-1+2*x)/(52*x^2+12*x+9) lgdogf] A167593 6.02561 [(52*x^2+12*x+9)/(2*x-1)^6 ogf] A167598 7.3343 [-(f(x)-1)*(40*f(x)*x-f(x)+x+1) ogf] A167598 8.00106 [(41*x^13+x^12+2*x+2)/(x^12-80*x+2) ogf] A167599 7.3343 [-(f(x)-1)*(41*f(x)*x-f(x)+x+1) ogf] A167599 8.00106 [(42*x^13+x^12+2*x+2)/(x^12-82*x+2) ogf] A167601 13.9861 [-(3+80*x+576*x^2)/(40*x^2-1+3*x+192*x^3) lgdogf] A167601 14.2805 [-1/(192*x^3+40*x^2+3*x-1) ogf] A167601 4.92432 [{a(n+3)-3*a(n+2)-40*a(n+1)-192*a(n),a(0)=1,a(1)=3,a(2)=49} ogf] A167601 5.38888 [(533*f(x)-513)*(192*f(x)*x^3+40*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A167602 3.77035 [(28085*f(x)+2272)*(512*f(x)*x^4+384*f(x)*x^3+72*f(x)*x^2+14*f(x)*x+f(x)-1) ogf] A167602 8.64618 [-2*(16*x+7)*(64*x^2+8*x+1)/(72*x^2+1+14*x+512*x^4+384*x^3) lgdogf] A167602 9.61069 [1/(512*x^4+384*x^3+72*x^2+14*x+1) ogf] A167603 3.54349 [-(2089156991947651*f(x)+386443658657792)*(7809531904*f(x)*x^4+83891456*f(x)*x^3+277760*f(x)*x^2+837*f(x)*x+f(x)-1) ogf] A167603 5.72832 [1/(7809531904*x^4+83891456*x^3+277760*x^2+837*x+1) ogf] A167614 13.7333 [-(4*x^2-9*x+6)/(x-1)^3 ogf] A167614 7.41355 [(15*f(x)+64)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-9*x+6) ogf] A167614 7.41355 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=9,a(2)=13} ogf] A167616 15.4311 [x*(2*x+3)/(x-1)/(x^2+x-1) ogf] A167616 18.1798 [-(-8+4*x^3+9*x^2)/(x-1)/(3+2*x)/(x^2+x-1) lgdogf] A167616 8.13035 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=3,a(2)=8} ogf] A167616 8.89556 [-f(x)*(f(x)*x^3-2*f(x)*x-2*x^2+f(x)-3*x) ogf] A167617 7.70737 [x^2*(x^2+3*x+3)/(2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A167617 7.93999 [-(6+16*x+39*x^6+78*x^5+75*x^4+54*x^3+8*x^7+33*x^2)/(2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+3*x+3) lgdogf] A167621 3.76558 [-(711*x^14-711*x^13+68*x^4-66*x^3+4*x^2-6*x-1)/(x-1)^2 ogf] A167624 5.22992 [-x*(x^12+24*x^10-15*x^8+32*x^6-15*x^4+24*x^2+1)/(x-1)/(x+1)/(x^4+1)/(x^8+1) ogf] A167628 7.10681 [-x*(12*x^11+6*x^10+4*x^9+3*x^8+5*x^7+2*x^6+11*x^5+8*x^4+10*x^3+9*x^2+7*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A167632 14.2253 [4*x*(x^2+7*x+1)/(x-1)^2 ogf] A167632 31.2842 [-9*(1+x)/(x-1)/(x^2+7*x+1) lgdogf] A167632 7.17449 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=4,a(2)=36,a(3)=72} ogf] A167632 8.7773 [-f(x)*(f(x)*x^2-4*x^3-2*f(x)*x-28*x^2+f(x)-4*x) ogf] A167635 6.45027 [f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3-f(x)^2*x+2*f(x)*x+f(x)-x-1 ogf] A167638 6.95186 [f(x)^2*x^2+f(x)*x^3+f(x)^2*x-2*f(x)*x-x^2-f(x)+x+1 ogf] A167639 11.4034 [-2*x*(x-1)*(2*x^3-3*x^2-3*x-3)/(x^2+x+1)/(x^2-3*x+1)/(x^2-x-1) lgdogf] A167640 7.37191 [-(f(x)-1)*(42*f(x)*x-f(x)+x+1) ogf] A167640 8.04209 [(43*x^13+x^12+2*x+2)/(x^12-84*x+2) ogf] A167641 7.40953 [-(f(x)-1)*(43*f(x)*x-f(x)+x+1) ogf] A167641 8.08312 [(44*x^13+x^12+2*x+2)/(x^12-86*x+2) ogf] A167642 7.48475 [-(f(x)-1)*(44*f(x)*x-f(x)+x+1) ogf] A167642 8.16518 [(45*x^13+x^12+2*x+2)/(x^12-88*x+2) ogf] A167643 7.48475 [-(f(x)-1)*(45*f(x)*x-f(x)+x+1) ogf] A167643 8.16518 [(46*x^13+x^12+2*x+2)/(x^12-90*x+2) ogf] A167644 7.48475 [-(f(x)-1)*(46*f(x)*x-f(x)+x+1) ogf] A167644 8.16518 [(47*x^13+x^12+2*x+2)/(x^12-92*x+2) ogf] A167645 7.6352 [-(f(x)-1)*(47*f(x)*x-f(x)+x+1) ogf] A167645 8.32930 [(48*x^13+x^12+2*x+2)/(x^12-94*x+2) ogf] A167646 7.6352 [-(f(x)-1)*(48*f(x)*x-f(x)+x+1) ogf] A167646 8.32930 [(49*x^13+x^12+2*x+2)/(x^12-96*x+2) ogf] A167647 7.6352 [-(f(x)-1)*(49*f(x)*x-f(x)+x+1) ogf] A167647 8.32930 [(50*x^13+x^12+2*x+2)/(x^12-98*x+2) ogf] A167649 9.77429 [(f(x)-1)*(3*f(x)*x-f(x)+x+1)^2 ogf] A167650 3.42633 [(5*x^14+x^13+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^13-8*x^9+2*x^8-8*x^7+2*x^6-8*x^5+2*x^4-8*x^3+2*x^2-8*x+2) ogf] A167650 9.81876 [(f(x)-1)*(4*f(x)*x-f(x)+x+1)^2 ogf] A167651 3.75071 [(6*x^14+x^13+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^13-10*x^7+2*x^6-10*x^5+2*x^4-10*x^3+2*x^2-10*x+2) ogf] A167651 9.18086 [(f(x)-1)*(5*f(x)*x-f(x)+x+1)^2 ogf] A167652 4.62488 [(7*x^14+x^13+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^13-12*x^5+2*x^4-12*x^3+2*x^2-12*x+2) ogf] A167652 9.04269 [(f(x)-1)*(6*f(x)*x-f(x)+x+1)^2 ogf] A167653 4.45929 [(8*x^14+x^13+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^13-14*x^5+2*x^4-14*x^3+2*x^2-14*x+2) ogf] A167653 8.71892 [(f(x)-1)*(7*f(x)*x-f(x)+x+1)^2 ogf] A167658 4.68798 [(9*x^14+x^13+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^13-16*x^5+2*x^4-16*x^3+2*x^2-16*x+2) ogf] A167658 9.16605 [(f(x)-1)*(8*f(x)*x-f(x)+x+1)^2 ogf] A167659 5.79966 [(10*x^14+x^13+2*x^3+2*x^2+2*x+2)/(x^13-18*x^3+2*x^2-18*x+2) ogf] A167664 4.86799 [-(f(x)-1)*(10*f(x)*x-f(x)+x+1)*(10*f(x)*x+f(x)-21*x-1) ogf] A167664 5.60557 [(11*x^14+x^13+2*x^3+2*x^2+2*x+2)/(x^13-20*x^3+2*x^2-20*x+2) ogf] A167665 4.86799 [-(f(x)-1)*(11*f(x)*x-f(x)+x+1)*(11*f(x)*x+f(x)-23*x-1) ogf] A167665 5.60557 [(12*x^14+x^13+2*x^3+2*x^2+2*x+2)/(x^13-22*x^3+2*x^2-22*x+2) ogf] A167667 11.0275 [-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-x+1 ogf] A167667 14.7726 [(4*x^2-x+1)/(2*x-1)^2 ogf] A167667 22.4487 [-3*(1+2*x)/(2*x-1)/(4*x^2-x+1) lgdogf] A167667 7.60146 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A167669 7.37469 [(f(x)-1)^2*(12*f(x)*x-f(x)+x+1) ogf] A167669 7.59815 [(13*x^14+x^13+2*x+2)/(x^13-24*x+2) ogf] A167670 7.54135 [(f(x)-1)^2*(13*f(x)*x-f(x)+x+1) ogf] A167670 7.76986 [(14*x^14+x^13+2*x+2)/(x^13-26*x+2) ogf] A167671 7.74967 [(f(x)-1)^2*(14*f(x)*x-f(x)+x+1) ogf] A167671 7.98450 [(15*x^14+x^13+2*x+2)/(x^13-28*x+2) ogf] A167672 7.87467 [(f(x)-1)^2*(15*f(x)*x-f(x)+x+1) ogf] A167672 8.11329 [(16*x^14+x^13+2*x+2)/(x^13-30*x+2) ogf] A167673 8.08299 [(f(x)-1)^2*(16*f(x)*x-f(x)+x+1) ogf] A167673 8.32792 [(17*x^14+x^13+2*x+2)/(x^13-32*x+2) ogf] A167674 8.20799 [(f(x)-1)^2*(17*f(x)*x-f(x)+x+1) ogf] A167674 8.45670 [(18*x^14+x^13+2*x+2)/(x^13-34*x+2) ogf] A167676 6.89296 [-(f(x)-1)*(18*f(x)*x-f(x)+x+1) ogf] A167676 7.51961 [(19*x^14+x^13+2*x+2)/(x^13-36*x+2) ogf] A167679 9.18766 [-(10*x^21+10*x^20+22*x^11+21*x^10+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A167680 6.96998 [-(f(x)-1)*(19*f(x)*x-f(x)+x+1) ogf] A167680 7.60362 [(20*x^14+x^13+2*x+2)/(x^13-38*x+2) ogf] A167681 7.0855 [-(f(x)-1)*(20*f(x)*x-f(x)+x+1) ogf] A167681 7.72965 [(21*x^14+x^13+2*x+2)/(x^13-40*x+2) ogf] A167682 13.6471 [(5*x^2-2*x+1)/(3*x-1)^2 ogf] A167682 7.02231 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=4,a(2)=20} ogf] A167682 7.77739 [(4*f(x)+5)*(9*f(x)*x^2-6*f(x)*x-5*x^2+f(x)+2*x-1) ogf] A167693 7.12401 [-(f(x)-1)*(21*f(x)*x-f(x)+x+1) ogf] A167693 7.77165 [(22*x^14+x^13+2*x+2)/(x^13-42*x+2) ogf] A167694 7.31655 [-(f(x)-1)*(22*f(x)*x-f(x)+x+1) ogf] A167694 7.98170 [(23*x^14+x^13+2*x+2)/(x^13-44*x+2) ogf] A167695 7.35506 [-(f(x)-1)*(23*f(x)*x-f(x)+x+1) ogf] A167695 8.02371 [(24*x^14+x^13+2*x+2)/(x^13-46*x+2) ogf] A167696 7.43208 [-(f(x)-1)*(24*f(x)*x-f(x)+x+1) ogf] A167696 8.10773 [(25*x^14+x^13+2*x+2)/(x^13-48*x+2) ogf] A167697 7.50909 [-(f(x)-1)*(25*f(x)*x-f(x)+x+1) ogf] A167697 8.19174 [(26*x^14+x^13+2*x+2)/(x^13-50*x+2) ogf] A167698 7.58611 [-(f(x)-1)*(26*f(x)*x-f(x)+x+1) ogf] A167698 8.27576 [(27*x^14+x^13+2*x+2)/(x^13-52*x+2) ogf] A167699 7.70164 [-(f(x)-1)*(27*f(x)*x-f(x)+x+1) ogf] A167699 8.40179 [(28*x^14+x^13+2*x+2)/(x^13-54*x+2) ogf] A167704 13.3998 [-(x^2+1)/(x+1)/(x^3+x-1) ogf] A167704 7.56838 [(f(x)+10)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+x^2-f(x)+1) ogf] A167708 4.70643 [-(10*x^9+66*x^8+105*x^7+959*x^6+1530*x^5-959*x^4-105*x^3-66*x^2-10*x-9)/(x^10-340*x^5+1) ogf] A167709 5.50139 [x*(x^8+15*x^7+24*x^6+220*x^5+351*x^4+220*x^3+24*x^2+15*x+1)/(x^10-340*x^5+1) ogf] A167710 14.9092 [(3*x+1)/(2*x-1)/(3*x^2-1) ogf] A167710 16.1735 [-(-5-6*x+36*x^3+9*x^2)/(2*x-1)/(3*x+1)/(3*x^2-1) lgdogf] A167710 6.99282 [{a(n+3)-2*a(n+2)-3*a(n+1)+6*a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A167710 7.24943 [-(27*f(x)-68)*(6*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)-3*x-1) ogf] A167713 17.9437 [-6*(-3+16*x)/(16*x-1)/(-1+4*x) lgdogf] A167713 3.47875 [{(-n-3)*a(n+3)+(58+20*n)*a(n+2)+(-160-64*n)*a(n+1),a(0)=1,a(1)=18,a(2)=294} ogf] A167713 6.31774 [1024*f(x)^2*x^3-384*f(x)^2*x^2+36*f(x)^2*x-f(x)^2+1 ogf] A167714 7.74014 [-(f(x)-1)*(28*f(x)*x-f(x)+x+1) ogf] A167714 8.44380 [(29*x^14+x^13+2*x+2)/(x^13-56*x+2) ogf] A167715 7.81716 [-(f(x)-1)*(29*f(x)*x-f(x)+x+1) ogf] A167715 8.52782 [(30*x^14+x^13+2*x+2)/(x^13-58*x+2) ogf] A167744 6.26635 [-(x^8+8*x^7+40*x^6+32*x^5+38*x^4+32*x^3+40*x^2+8*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A167747 12.787 [-6*f(x)*x+f(x)+4*x-1 ogf] A167747 15.5517 [(4*x-1)/(6*x-1) ogf] A167747 16.5658 [1/8+3/4*x-1/8*(1-4*x+36*x^2)^(1/2) revogf] A167747 31.2909 [2/(6*x-1)/(-1+4*x) lgdogf] A167747 7.99186 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=2} ogf] A167756 7.85567 [-(f(x)-1)*(30*f(x)*x-f(x)+x+1) ogf] A167756 8.56982 [(31*x^14+x^13+2*x+2)/(x^13-60*x+2) ogf] A167757 7.85567 [-(f(x)-1)*(31*f(x)*x-f(x)+x+1) ogf] A167757 8.56982 [(32*x^14+x^13+2*x+2)/(x^13-62*x+2) ogf] A167762 18.7499 [x^2/(2*x-1)/(3*x^2-1) ogf] A167762 21.7627 [-2*(-1-3*x+9*x^2)/(2*x-1)/(3*x^2-1) lgdogf] A167762 6.98860 [{a(n+3)-2*a(n+2)-3*a(n+1)+6*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A167762 9.4907 [-6*f(x)*x^3+3*f(x)*x^2+2*f(x)*x+x^2-f(x) ogf] A167765 8.12523 [-(f(x)-1)*(32*f(x)*x-f(x)+x+1) ogf] A167765 8.86388 [(33*x^14+x^13+2*x+2)/(x^13-64*x+2) ogf] A167774 11.6962 [-9*(170*x-1)/(x^2-340*x+1) ogf] A167774 11.8654 [-2*(85-x+85*x^2)/(170*x-1)/(x^2-340*x+1) lgdogf] A167774 5.79018 [-(3211*f(x)-14449)*(f(x)*x^2-340*f(x)*x+f(x)+1530*x-9) ogf] A167774 6.72194 [{a(n+2)-340*a(n+1)+a(n),a(0)=9,a(1)=1530} ogf] A167775 10.5339 [-(-5-170*x+(25+741*x+28899*x^2)^(1/2))/(959+x) revogf] A167775 10.7679 [-(2441-20*x+959*x^2)/(959*x-10)/(x^2-340*x+1) lgdogf] A167775 11.9014 [-(959*x-10)/(x^2-340*x+1) ogf] A167775 5.66732 [-(829920*f(x)-2340719)*(f(x)*x^2-340*f(x)*x+f(x)+959*x-10) ogf] A167775 6.76214 [{a(n+2)-340*a(n+1)+a(n),a(0)=10,a(1)=2441} ogf] A167778 12.5170 [-3*(35*x-22)/(x^2-340*x+1) ogf] A167778 6.01777 [-(843752*f(x)-259607)*(f(x)*x^2-340*f(x)*x+f(x)+105*x-66) ogf] A167778 7.03200 [{a(n+2)-340*a(n+1)+a(n),a(0)=66,a(1)=22335} ogf] A167778 8.39265 [-(-33-170*x+3*(121+1235*x+3211*x^2)^(1/2))/(105+x) revogf] A167778 9.75890 [-(7445-44*x+35*x^2)/(35*x-22)/(x^2-340*x+1) lgdogf] A167779 12.6709 [-3*(22*x-35)/(x^2-340*x+1) ogf] A167779 6.09175 [-(673075*f(x)-129433)*(f(x)*x^2-340*f(x)*x+f(x)+66*x-105) ogf] A167779 7.03937 [{a(n+2)-340*a(n+1)+a(n),a(0)=105,a(1)=35634} ogf] A167779 7.62190 [-1/2*(-105-340*x+3*(1225+7904*x+12844*x^2)^(1/2))/(66+x) revogf] A167779 9.48503 [-2*(5939-35*x+11*x^2)/(22*x-35)/(x^2-340*x+1) lgdogf] A167780 4.34336 [-(55427541*f(x)-710569)*(f(x)*x^2-340*f(x)*x+f(x)+10*x-959) ogf] A167780 5.05931 [{a(n+2)-340*a(n+1)+a(n),a(0)=959,a(1)=326050} ogf] A167780 7.64077 [-1/2*(-959-340*x+(919681+652080*x+115596*x^2)^(1/2))/(10+x) revogf] A167780 9.20794 [-(10*x-959)/(x^2-340*x+1) ogf] A167780 9.39177 [-2*(163025-959*x+5*x^2)/(10*x-959)/(x^2-340*x+1) lgdogf] A167784 12.8336 [(x-1)^2/(2*x-1)/(3*x^2-1) ogf] A167784 18.3874 [-2*x*(4+3*x^2-9*x)/(x-1)/(2*x-1)/(3*x^2-1) lgdogf] A167784 6.57859 [-(129*f(x)+127)*(6*f(x)*x^3-3*f(x)*x^2-2*f(x)*x-x^2+f(x)+2*x-1) ogf] A167784 7.05272 [{a(n+3)-2*a(n+2)-3*a(n+1)+6*a(n),a(0)=1,a(1)=0,a(2)=4} ogf] A167785 8.12523 [-(f(x)-1)*(33*f(x)*x-f(x)+x+1) ogf] A167785 8.86388 [(34*x^14+x^13+2*x+2)/(x^13-66*x+2) ogf] A167789 8.12523 [-(f(x)-1)*(34*f(x)*x-f(x)+x+1) ogf] A167789 8.86388 [(35*x^14+x^13+2*x+2)/(x^13-68*x+2) ogf] A167808 7.34195 [-(1+2*x+4*x^7-3*x^8+2*x^9+6*x^5+x^6+12*x^3+4*x^4+9*x^2)/(x^2+x-1)/(x^4-x^3+x^2+x+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A167808 9.96477 [-x*(x^4-x^3+x^2+x+1)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A167815 8.20224 [-(f(x)-1)*(35*f(x)*x-f(x)+x+1) ogf] A167815 8.94791 [(36*x^14+x^13+2*x+2)/(x^13-70*x+2) ogf] A167816 8.66500 [-x*(x^6-x^5+2*x^4-x^3-2*x^2-x-1)/(x^2+x-1)/(x^2-x-1)/(x^4+3*x^2+1) ogf] A167817 11.2647 [-(4*f(x)+23)*(f(x)*x^4+3*x^3+3*x^2-f(x)+3*x+1) ogf] A167817 12.4702 [-(3+6*x+3*x^6+6*x^5+9*x^4+9*x^2+4*x^3)/(x-1)/(x+1)/(x^2+1)/(3*x^3+3*x^2+3*x+1) lgdogf] A167817 17.3911 [-(3*x^3+3*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A167818 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A167818 13.5403 [-(x+1)/(36*x-1) ogf] A167818 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A167820 13.7631 [351*x/(x^2-340*x+1) ogf] A167820 18.3883 [-2*(-170+x)/(x^2+1-340*x) lgdogf] A167820 6.63869 [{a(n+2)-340*a(n+1)+a(n),a(0)=0,a(1)=351} ogf] A167820 6.76042 [-1/2*(-351-340*x+(38*x+39)^(1/2)*(26*x+27)^(1/2)*39^(1/2)*3^(1/2))/x revogf] A167820 8.95697 [-f(x)*x^2+340*f(x)*x-f(x)+351*x ogf] A167821 16.8610 [2*x^2/(2*x-1)/(x^2+x-1) ogf] A167821 19.4929 [-(-3+2*x+6*x^2)/(-1+2*x)/(x^2+x-1) lgdogf] A167821 6.89766 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A167821 9.36719 [2*f(x)*x^3+f(x)*x^2-3*f(x)*x-2*x^2+f(x) ogf] A167822 10.5044 [-2*(5*x+8)*(22*x-35)/(220*x+1)/(x^2-340*x+1) lgdogf] A167822 11.6208 [(220*x+1)/(x^2-340*x+1) ogf] A167822 5.8703 [(95199*f(x)+61601)*(f(x)*x^2-340*f(x)*x+f(x)-220*x-1) ogf] A167822 6.62115 [{-a(n+2)+340*a(n+1)-a(n),a(0)=1,a(1)=560} ogf] A167822 8.88833 [-1/2*(-1-340*x+((78*x+1)*(1482*x+1))^(1/2))/(-220+x) revogf] A167823 10.0112 [-2*(4*x+61)*(x-14)/(8*x+5)/(x^2-340*x+1) lgdogf] A167823 12.3013 [3*(8*x+5)/(x^2-340*x+1) ogf] A167823 6.27878 [(96785*f(x)+6857)*(f(x)*x^2-340*f(x)*x+f(x)-24*x-15) ogf] A167823 6.84958 [{-a(n+2)+340*a(n+1)-a(n),a(0)=15,a(1)=5124} ogf] A167823 7.41573 [-1/2*(-15-340*x+3*((494*x+25)*(26*x+1))^(1/2))/(-24+x) revogf] A167824 10.3961 [3*(5*x+8)/(x^2-340*x+1) ogf] A167824 10.4524 [-(x+25)*(5*x-109)/(5*x+8)/(x^2-340*x+1) lgdogf] A167824 5.19802 [(308828*f(x)+13753)*(f(x)*x^2-340*f(x)*x+f(x)-15*x-24) ogf] A167824 5.78872 [{-a(n+2)+340*a(n+1)-a(n),a(0)=24,a(1)=8175} ogf] A167824 8.15286 [-(-12-170*x+3*((13*x+1)*(247*x+16))^(1/2))/(-15+x) revogf] A167825 11.3585 [-(x+571)*(x-131)/(x+220)/(x^2-340*x+1) lgdogf] A167825 4.36844 [(25431900*f(x)+171601)*(f(x)*x^2-340*f(x)*x+f(x)-x-220) ogf] A167825 4.90238 [{-a(n+2)+340*a(n+1)-a(n),a(0)=220,a(1)=74801} ogf] A167825 8.63244 [-(-110-170*x+((741*x+484)*(39*x+25))^(1/2))/(-1+x) revogf] A167825 9.00437 [(x+220)/(x^2-340*x+1) ogf] A167826 9.53451 [-2*x^5/(2*x-1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A167826 9.75011 [-(4-6*x+12*x^5+15*x^4-9*x^2)/(2*x-1)/(x^2+x-1)/(x^3+x^2+x-1) lgdogf] A167827 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A167827 13.5403 [-(x+1)/(37*x-1) ogf] A167827 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A167828 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A167828 13.6828 [-(x+1)/(38*x-1) ogf] A167828 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A167829 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A167829 13.7541 [-(x+1)/(39*x-1) ogf] A167829 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A167830 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A167830 13.8966 [-(x+1)/(40*x-1) ogf] A167830 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A167848 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A167848 13.8966 [-(x+1)/(41*x-1) ogf] A167848 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A167849 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A167849 13.9678 [-(x+1)/(42*x-1) ogf] A167849 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A167854 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A167854 14.0391 [-(x+1)/(43*x-1) ogf] A167854 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A167855 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A167855 14.1816 [-(x+1)/(44*x-1) ogf] A167855 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A167858 17.9381 [2*(7+36*x+54*x^2+24*x^3)/(36*x^2+3+14*x+12*x^4+36*x^3) lgdogf] A167858 5.67015 [{-a(n+5),a(0)=3,a(1)=14,a(2)=36,a(3)=36,a(4)=12} ogf] A167858 6.1976 [-(169*f(x)+1554)*(-12*x^4-36*x^3-36*x^2+f(x)-14*x-3) ogf] A167861 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A167861 14.1816 [-(x+1)/(45*x-1) ogf] A167861 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A167862 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A167862 14.1816 [-(x+1)/(46*x-1) ogf] A167862 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A167863 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A167863 14.4667 [-(x+1)/(47*x-1) ogf] A167863 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A167873 13.2649 [-2*(2*x^3+5*x^2+3*x+5)/(x-1)/(x+1)/(x^2+1) ogf] A167873 8.99575 [(f(x)-295)*(f(x)*x^4+4*x^3+10*x^2-f(x)+6*x+10) ogf] A167873 9.45091 [-(3+10*x+2*x^6+10*x^5+20*x^3+9*x^4+6*x^2)/(x-1)/(x+1)/(1+x^2)/(2*x^3+5*x^2+3*x+5) lgdogf] A167875 12.0358 [(x^2+1)/(x-1)^4 ogf] A167875 26.8081 [[-x^3+x+4] ogf_with_Euler_transform] A167875 29.5110 [-2*(2+x+x^2)/(x-1)/(1+x^2) lgdogf] A167875 4.11753 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+n*a(n+2)+(-n-3)*a(n+1),a(0)=1,a(1)=4,a(2)=11,a(3)=24} ogf] A167875 6.16008 [(49*f(x)+32)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-1) ogf] A167876 29.4751 [(3+8*x+6*x^2)/(x+1)/(2*x^2+2*x+1) lgdogf] A167876 46.3180 [1/2*(8*x+1)^(1/4)-1/2 revogf] A167876 7.04384 [{a(n+4),a(0)=1,a(1)=3,a(2)=4,a(3)=2} ogf] A167876 7.55425 [-(9*f(x)-4)*(-2*x^3-4*x^2+f(x)-3*x-1) ogf] A167879 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A167879 14.4667 [-(x+1)/(48*x-1) ogf] A167879 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A167880 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A167880 14.4667 [-(x+1)/(49*x-1) ogf] A167880 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A167882 3.41082 [(4*x^15+x^14+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^14-6*x^9+2*x^8-6*x^7+2*x^6-6*x^5+2*x^4-6*x^3+2*x^2-6*x+2) ogf] A167889 14.7470 [-2*(-2-9*x+54*x^2)/(-1+3*x)/(3*x+1)/(4*x-1) lgdogf] A167889 15.2514 [x^2/(3*x-1)/(3*x+1)/(4*x-1) ogf] A167889 5.77078 [{a(n+3)-4*a(n+2)-9*a(n+1)+36*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A167889 7.81166 [-36*f(x)*x^3+9*f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A167891 14.7597 [2*x^2+4*x+1-f(x) ogf] A167891 46.3180 [4*(x+1)/(2*x^2+1+4*x) lgdogf] A167891 7.82712 [{-a(n+3),a(0)=1,a(1)=4,a(2)=2} ogf] A167892 3.52439 [{(-16*n^2-112*n-196)*a(n+1)+(17*n^2+122*n+221)*a(n+2)+(-n^2-10*n-25)*a(n+3),a(0)=1,a(1)=5,a(2)=30} ogf] A167893 3.25492 [{(-64*n^3-672*n^2-2352*n-2744)*a(n+1)+(65*n^3+687*n^2+2427*n+2869)*a(n+2)+(-n^3-15*n^2-75*n-125)*a(n+3),a(0)=1,a(1)=9,a(2)=134} ogf] A167896 4.11160 [(5*x^15+x^14+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^14-8*x^7+2*x^6-8*x^5+2*x^4-8*x^3+2*x^2-8*x+2) ogf] A167897 4.69555 [(6*x^15+x^14+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^14-10*x^5+2*x^4-10*x^3+2*x^2-10*x+2) ogf] A167898 4.62488 [(7*x^15+x^14+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^14-12*x^5+2*x^4-12*x^3+2*x^2-12*x+2) ogf] A167899 5.96089 [(8*x^15+x^14+2*x^3+2*x^2+2*x+2)/(x^14-14*x^3+2*x^2-14*x+2) ogf] A167900 6.26658 [(9*x^15+x^14+2*x^3+2*x^2+2*x+2)/(x^14-16*x^3+2*x^2-16*x+2) ogf] A167908 5.12648 [-(f(x)-1)*(9*f(x)*x-f(x)+x+1)*(9*f(x)*x+f(x)-19*x-1) ogf] A167908 5.79966 [(10*x^15+x^14+2*x^3+2*x^2+2*x+2)/(x^14-18*x^3+2*x^2-18*x+2) ogf] A167910 19.0305 [x^2/(3*x-1)/(2*x+1)/(2*x-1) ogf] A167910 7.20074 [{a(n+3)-3*a(n+2)-4*a(n+1)+12*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A167910 9.74733 [-12*f(x)*x^3+4*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A167914 8.16105 [(f(x)-1)^2*(10*f(x)*x-f(x)+x+1) ogf] A167914 8.40835 [(11*x^15+x^14+2*x+2)/(x^14-20*x+2) ogf] A167916 8.16105 [(f(x)-1)^2*(11*f(x)*x-f(x)+x+1) ogf] A167916 8.40835 [(12*x^15+x^14+2*x+2)/(x^14-22*x+2) ogf] A167919 6.96498 [-(f(x)-1)*(12*f(x)*x-f(x)+x+1) ogf] A167919 7.59815 [(13*x^15+x^14+2*x+2)/(x^14-24*x+2) ogf] A167922 7.12238 [-(f(x)-1)*(13*f(x)*x-f(x)+x+1) ogf] A167922 7.76986 [(14*x^15+x^14+2*x+2)/(x^14-26*x+2) ogf] A167923 7.31913 [-(f(x)-1)*(14*f(x)*x-f(x)+x+1) ogf] A167923 7.98450 [(15*x^15+x^14+2*x+2)/(x^14-28*x+2) ogf] A167924 7.43718 [-(f(x)-1)*(15*f(x)*x-f(x)+x+1) ogf] A167924 8.11329 [(16*x^15+x^14+2*x+2)/(x^14-30*x+2) ogf] A167926 7.63394 [-(f(x)-1)*(16*f(x)*x-f(x)+x+1) ogf] A167926 8.32792 [(17*x^15+x^14+2*x+2)/(x^14-32*x+2) ogf] A167927 7.75199 [-(f(x)-1)*(17*f(x)*x-f(x)+x+1) ogf] A167927 8.45670 [(18*x^15+x^14+2*x+2)/(x^14-34*x+2) ogf] A167929 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A167929 13.0604 [-(x+1)/(18*x-1) ogf] A167929 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A167931 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A167931 13.2063 [-(x+1)/(19*x-1) ogf] A167931 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A167933 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A167933 13.4252 [-(x+1)/(20*x-1) ogf] A167933 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A167935 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A167935 13.4981 [-(x+1)/(21*x-1) ogf] A167935 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A167936 13.6105 [-x*(x-1)/(2*x-1)/(3*x^2-1) ogf] A167936 16.6352 [-(1+6*x+12*x^3-21*x^2)/(x-1)/(2*x-1)/(3*x^2-1) lgdogf] A167936 6.98918 [-(f(x)+1)*(6*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A167936 6.98918 [{-a(n+3)+2*a(n+2)+3*a(n+1)-6*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A167937 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A167937 13.8629 [-(x+1)/(22*x-1) ogf] A167937 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A167938 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A167938 13.9359 [-(x+1)/(23*x-1) ogf] A167938 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A167940 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A167940 14.0818 [-(x+1)/(24*x-1) ogf] A167940 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A167941 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A167941 14.2278 [-(x+1)/(25*x-1) ogf] A167941 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A167942 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A167942 14.3737 [-(x+1)/(26*x-1) ogf] A167942 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A167943 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A167943 14.5926 [-(x+1)/(27*x-1) ogf] A167943 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A167944 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A167944 14.6656 [-(x+1)/(28*x-1) ogf] A167944 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A167945 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A167945 14.8115 [-(x+1)/(29*x-1) ogf] A167945 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A167946 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A167946 14.8844 [-(x+1)/(30*x-1) ogf] A167946 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A167947 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A167947 14.8844 [-(x+1)/(31*x-1) ogf] A167947 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A167949 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A167949 15.3952 [-(x+1)/(32*x-1) ogf] A167949 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A167950 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A167950 15.3952 [-(x+1)/(33*x-1) ogf] A167950 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A167951 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A167951 15.3952 [-(x+1)/(34*x-1) ogf] A167951 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A167952 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A167952 15.5411 [-(x+1)/(35*x-1) ogf] A167952 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A167953 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A167953 13.5403 [-(x+1)/(36*x-1) ogf] A167953 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A167954 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A167954 13.5403 [-(x+1)/(37*x-1) ogf] A167954 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A167955 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A167955 13.6828 [-(x+1)/(38*x-1) ogf] A167955 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A167956 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A167956 13.7541 [-(x+1)/(39*x-1) ogf] A167956 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A167957 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A167957 13.8966 [-(x+1)/(40*x-1) ogf] A167957 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A167958 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A167958 13.8966 [-(x+1)/(41*x-1) ogf] A167958 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A167959 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A167959 13.9678 [-(x+1)/(42*x-1) ogf] A167959 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A167960 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A167960 14.0391 [-(x+1)/(43*x-1) ogf] A167960 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A167961 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A167961 14.1816 [-(x+1)/(44*x-1) ogf] A167961 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A167962 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A167962 14.1816 [-(x+1)/(45*x-1) ogf] A167962 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A167963 6.22171 [-x*(31*x^4+146*x^3+156*x^2+26*x+1)/(x-1)^7 ogf] A167963 9.09601 [-3*(11+156*x+406*x^2+236*x^3+31*x^4)/(x-1)/(31*x^4+146*x^3+156*x^2+26*x+1) lgdogf] A167964 7.49436 [-(-x^49-2*x^48-x^47-x^46-x^3-x^2-x-1)/(x^49+x^48+x^47+x^3+x^2+x+1) ogf_with_Euler_transform] A167975 10.5881 [(-2-4*x+812*x^32-839*x^31-869*x^30+900*x^29-2*x^2)/(x-1)/(x+1)/(29*x^31-30*x^30+x+1) lgdogf] A167975 12.4202 [(29*x^31-30*x^30+x+1)/(x+1)/(x-1)^2 ogf] A167978 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A167978 14.1816 [-(x+1)/(46*x-1) ogf] A167978 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A167980 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A167980 14.4667 [-(x+1)/(47*x-1) ogf] A167980 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A167988 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A167988 14.4667 [-(x+1)/(48*x-1) ogf] A167988 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A167989 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A167989 14.4667 [-(x+1)/(49*x-1) ogf] A167989 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A167993 19.3288 [x^2/(3*x-1)/(3*x^2-1) ogf] A167993 22.4479 [-3*(-1-2*x+9*x^2)/(3*x-1)/(3*x^2-1) lgdogf] A167993 7.20436 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A167993 9.78369 [-9*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A168028 15.1196 [-(4567-9782*x+5251*x^2)/(x-1)/(5251*x^2-10142*x+4903) lgdogf] A168029 4.84554 [x*(x^6+57*x^5+603*x^4+1198*x^3+603*x^2+57*x+1)/(x-1)^8 ogf] A168029 6.09730 [-(65+1605*x+2*x^6+177*x^5+2697*x^4+7212*x^2+8402*x^3)/(x-1)/(x^6+57*x^5+603*x^4+1198*x^3+603*x^2+57*x+1) lgdogf] A168043 13.6723 [-(-2+2*x+x^5+5*x^4-7*x^3+3*x^2)/(-1+x)/(x^2+x-1)/(x^4-x+1) lgdogf] A168043 4.12139 [-(x^4-x+1)/(x^2+x-1)/(x-1)^2 ogf] A168043 6.16446 [(25*f(x)-16)*(f(x)*x^4-f(x)*x^3+x^4-2*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A168046 31.7100 [x^9-x^8+1 ogf_with_Euler_transform] A168049 10.302 [-f(x)^2-f(x)*x-x^2+3*f(x)+x-2 ogf] A168049 8.29183 [-1/2*(-1+4*x-x^2-6*x^3+(-(-1+3*x)*(x+1)*(5*x+1)^2)^(1/2))/(-1+3*x)/(x+1)/(x^2-x+2) lgdogf] A168050 15.1989 [(-1+x+x^5-x^4-x^3+5*x^2)/(x-1)/(x+1)/(x^4-x^3-2*x^2+1) lgdogf] A168050 4.80112 [-(f(x)-12)*(f(x)*x^3-x^4-f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)-1) ogf] A168050 8.41841 [(x^4-x^3-2*x^2+1)/(x+1)/(x-1)^2 ogf] A168051 9.40705 [-f(x)^2+f(x)*x-x^2+f(x)-x ogf] A168052 13.2063 [(x^2+1)/(x^2-x+1)/(x+1)^2 ogf] A168052 16.6646 [[x^5-x^3-x^2+2*x-1] ogf_with_Euler_transform] A168052 18.1085 [-(1-3*x+2*x^4+5*x^2-x^3)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A168052 4.58998 [{(n+4)*a(n+1)-a(n+2)+a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=-1,a(2)=2,a(3)=-3} ogf] A168052 6.7816 [-(f(x)+8)*(f(x)*x^4+f(x)*x^3+f(x)*x-x^2+f(x)-1) ogf] A168053 12.5193 [-(-1+3*x+3*x^5+7*x^4+7*x^2+5*x^3)/(x-1)/(x^2+x+1)/(3*x^3+2*x^2-1) lgdogf] A168053 5.3645 [(8*f(x)+91)*(f(x)*x^4-f(x)*x^3+3*x^3-f(x)*x+2*x^2+f(x)-1) ogf] A168053 9.57355 [-(3*x^3+2*x^2-1)/(x^2+x+1)/(x-1)^2 ogf] A168054 3.51164 [{(32*n+56)*a(n+1)+16*a(n+2)+8*a(n+3)+(-4*n-3)*a(n+4),a(0)=1,a(1)=2,a(2)=-4,a(3)=-24} ogf] A168054 4.8357 [-(8*f(x)+91)*(16*f(x)*x^4-8*f(x)*x^3+24*x^3-2*f(x)*x+8*x^2+f(x)-1) ogf] A168054 8.34390 [-2*(-1+6*x+96*x^5+112*x^4+28*x^2+40*x^3)/(2*x-1)/(4*x^2+2*x+1)/(24*x^3+8*x^2-1) lgdogf] A168054 8.80530 [-(24*x^3+8*x^2-1)/(4*x^2+2*x+1)/(2*x-1)^2 ogf] A168055 10.0005 [-f(x)^2-2*f(x)*x-4*x^2+4*f(x)+2*x-3 ogf] A168055 7.94979 [-(-1+6*x-5*x^2-12*x^3+(-(x+1)*(3*x-1)*(1+7*x)^2)^(1/2))/(x+1)/(3*x-1)/(4*x^2-2*x+3) lgdogf] A168056 13.6406 [(x^3+2*x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A168056 14.4931 [-(1+5*x+x^5+5*x^4+9*x^2+3*x^3)/(x-1)/(x^2+x+1)/(x^3+2*x^2+1) lgdogf] A168056 5.37356 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A168056 7.5781 [(8*f(x)+169)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-1) ogf] A168057 10.3570 [(8*x^3+8*x^2+1)/(4*x^2+2*x+1)/(2*x-1)^2 ogf] A168057 4.02095 [{(-32*n-104)*a(n+1)-16*a(n+2)-8*a(n+3)+(4*n+9)*a(n+4),a(0)=1,a(1)=2,a(2)=12,a(3)=40} ogf] A168057 5.79289 [(8*f(x)+169)*(16*f(x)*x^4-8*f(x)*x^3-8*x^3-2*f(x)*x-8*x^2+f(x)-1) ogf] A168057 8.70250 [-2*(1+10*x+32*x^5+80*x^4+36*x^2+24*x^3)/(2*x-1)/(4*x^2+2*x+1)/(8*x^3+8*x^2+1) lgdogf] A168058 10.0551 [4*x^2+2*x-1-2*f(x)*x+f(x)^2 ogf] A168058 7.82866 [(-1-2*x+12*x^3+11*x^2+(-(x+1)*(-1+3*x)*(x-1)^2)^(1/2))/(x+1)/(-1+3*x)/(4*x^2+2*x-1) lgdogf] A168059 11.4748 [-(x^3+6*x^2+3*x+2)/(x-1)^3/(x+1)^3 ogf] A168059 14.6760 [-3*(1+8*x+x^4+8*x^3+6*x^2)/(x-1)/(x+1)/(2+x^3+6*x^2+3*x) lgdogf] A168059 6.25122 [{(n^2+9*n+20)*a(n+1)+(-n^2-5*n-6)*a(n+3),a(0)=2,a(1)=3,a(2)=12} ogf] A168067 4.54978 [-x*(127*x^6+2136*x^5+7827*x^4+7792*x^3+2157*x^2+120*x+1)/(x-1)^9 ogf] A168071 11.4171 [-(4*x^3+3*x^2-1)/(x^2+x+1)/(x-1)^2 ogf] A168071 4.52507 [{(n+2)*a(n+1)+a(n+2)+a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=1,a(2)=-2,a(3)=-5} ogf] A168071 6.18427 [-(f(x)+28)*(f(x)*x^4-f(x)*x^3+4*x^3-f(x)*x+3*x^2+f(x)-1) ogf] A168072 3.77981 [{(27*n+54)*a(n+1)+9*a(n+2)+3*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=3,a(2)=-18,a(3)=-135} ogf] A168072 5.11031 [-(f(x)+28)*(81*f(x)*x^4-27*f(x)*x^3+108*x^3-3*f(x)*x+27*x^2+f(x)-1) ogf] A168072 9.12554 [-(108*x^3+27*x^2-1)/(9*x^2+3*x+1)/(3*x-1)^2 ogf] A168073 11.7421 [-f(x)^2-3*f(x)*x-9*x^2+5*f(x)+3*x-4 ogf] A168073 3.85649 [{(27*n^2-27*n)*a(n)+(21*n^2+15*n)*a(n+1)+(-7*n^2-11*n+6)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A168073 8.72276 [-3/2*(-1+8*x-9*x^2-18*x^3+(-(-1+3*x)*(x+1)*(1+9*x)^2)^(1/2))/(-1+3*x)/(x+1)/(9*x^2-3*x+4) lgdogf] A168074 11.8421 [(2*x^3+3*x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A168074 4.69351 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=7} ogf] A168074 6.63566 [(f(x)+42)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-3*x^2+f(x)-1) ogf] A168075 10.1231 [-(54*x^3-27*x^2-1)/(9*x^2-3*x+1)/(3*x+1)^2 ogf] A168075 4.13312 [{(27*n+81)*a(n+1)-9*a(n+2)+3*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=-3,a(2)=36,a(3)=-189} ogf] A168075 5.63303 [-(f(x)+42)*(81*f(x)*x^4+27*f(x)*x^3+54*x^3+3*f(x)*x-27*x^2+f(x)-1) ogf] A168076 10.1528 [f(x)^2-3*f(x)*x+9*x^2+f(x)+3*x-2 ogf] A168076 11.5950 [-3/2*(-6*x^2-7*x-1+(-(-1+3*x)*(x+1))^(1/2))/(x+1)/(2+3*x)/(-1+3*x) lgdogf] A168077 10.0921 [-(1+18*x+2*x^5+3*x^4+28*x^3+8*x^2)/(x-1)/(x+1)/(x^4+x^3+6*x^2+x+1) lgdogf] A168077 6.00227 [{(n^2+6*n+9)*a(n+1)+(-n^2-2*n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A168077 9.25055 [-x*(x^4+x^3+6*x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A168082 6.77453 [-x^10/(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A168082 6.91304 [-(1+2*x+7*x^6+6*x^5+11*x^10+10*x^9+9*x^8+8*x^7+5*x^4+3*x^2+4*x^3)/(x^2-1+x+x^8+x^4+x^9+x^3+x^10+x^6+x^11+x^5+x^7) lgdogf] A168083 6.29852 [-(2*x+7*x^6+6*x^5+11*x^10+10*x^9+9*x^8+8*x^7+5*x^4+3*x^2+4*x^3+12*x^11+1)/(x^11+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^12-1+x+x^2) lgdogf] A168083 6.34120 [-x^11/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A168084 5.96738 [-x^12/(x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A168090 10.1885 [{a(n+3)-2*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A168090 10.7625 [(3*f(x)-7)*(2*f(x)*x^3+2*x^2-f(x)+1) ogf] A168090 16.9808 [-(2*x^2+1)/(2*x^3-1) ogf] A168090 21.7048 [-2*x*(2+2*x^3+3*x)/(2*x^2+1)/(2*x^3-1) lgdogf] A168092 3.89026 [{a(n+4)-a(n+3),a(0)=2,a(1)=3,a(2)=4,a(3)=5} ogf] A168092 4.19623 [-(26*f(x)-29)*(x^3+f(x)*x+x^2-f(x)+x+2) ogf] A168092 7.04651 [-(x^3+x^2+x+2)/(x-1) ogf] A168092 8.73327 [(-3-2*x+2*x^3-2*x^2)/(-1+x)/(x^3+x^2+x+2) lgdogf] A168093 13.4994 [-(x^4+x^3+x^2+x+3)/(x-1) ogf] A168093 7.40209 [(-4-2*x+3*x^4-2*x^3-2*x^2)/(-1+x)/(x^4+x^3+x^2+x+3) lgdogf] A168093 8.95071 [(f(x)+38)*(x^4+x^3+f(x)*x+x^2-f(x)+x+3) ogf] A168094 11.9343 [-(x^5+x^4+x^3+x^2+x+4)/(x-1) ogf] A168094 6.34902 [(-5-2*x+4*x^5-2*x^4-2*x^3-2*x^2)/(-1+x)/(x^5+x^4+x^3+x^2+x+4) lgdogf] A168095 11.2726 [-(x^6+x^5+x^4+x^3+x^2+x+5)/(x-1) ogf] A168095 5.53324 [(-6-2*x+5*x^6-2*x^5-2*x^4-2*x^3-2*x^2)/(-1+x)/(x^6+x^5+x^4+x^3+x^2+x+5) lgdogf] A168096 5.75789 [(-7-2*x-2*x^6-2*x^5+6*x^7-2*x^4-2*x^3-2*x^2)/(-1+x)/(x^7+x^6+x^5+x^4+x^3+x^2+x+6) lgdogf] A168096 7.73179 [-(x^7+x^6+x^5+x^4+x^3+x^2+x+6)/(x-1) ogf] A168097 7.10977 [-(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+7)/(x-1) ogf] A168098 7.03542 [-(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+8)/(x-1) ogf] A168099 8.61993 [-(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+9)/(x-1) ogf] A168100 7.93735 [-(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+10)/(x-1) ogf] A168101 12.1991 [(-6-2*x+x^3-3*x^2)/(-1+x)/(x^3+x^2+3) lgdogf] A168101 16.5809 [(x^3+x^2+3)/(x-1)^2 ogf] A168101 8.14753 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=3,a(1)=6,a(2)=10,a(3)=15} ogf] A168101 9.35756 [-(f(x)-3)*(f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-3) ogf] A168102 12.0220 [(x^4+x^3+x^2-2*x+6)/(x-1)^2 ogf] A168102 7.27647 [-(4*f(x)-67)*(-x^4+f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)+2*x-6) ogf] A168102 8.04197 [(-10+2*x^4-3*x^3-3*x^2)/(-1+x)/(x^4+x^3+x^2-2*x+6) lgdogf] A168103 11.8667 [(x+2)*(x^4-x^3+3*x^2-5*x+5)/(x-1)^2 ogf] A168103 7.65304 [3*(-5+x+x^5-x^4-x^3-x^2)/(2+x)/(-1+x)/(x^4-x^3+3*x^2-5*x+5) lgdogf] A168104 10.6232 [(x^6+x^5+x^4+x^3+x^2-9*x+15)/(x-1)^2 ogf] A168104 6.35478 [(-21+7*x+4*x^6-3*x^5-3*x^4-3*x^3-3*x^2)/(-1+x)/(x^6+x^5+x^4+x^3+x^2-9*x+15) lgdogf] A168105 5.76917 [(-28+12*x-3*x^6-3*x^5+5*x^7-3*x^4-3*x^3-3*x^2)/(-1+x)/(x^7+x^6+x^5+x^4+x^3+x^2-14*x+21) lgdogf] A168105 9.70232 [(x^7+x^6+x^5+x^4+x^3+x^2-14*x+21)/(x-1)^2 ogf] A168106 5.24854 [3*(-12+6*x+2*x^8-x^6-x^5-x^7-x^4-x^3-x^2)/(-1+x)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2-20*x+28) lgdogf] A168106 8.98816 [(x^8+x^7+x^6+x^5+x^4+x^3+x^2-20*x+28)/(x-1)^2 ogf] A168107 8.37695 [(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-27*x+36)/(x-1)^2 ogf] A168108 7.74918 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-35*x+45)/(x-1)^2 ogf] A168109 7.20819 [(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-44*x+55)/(x-1)^2 ogf] A168116 3.34858 [x*(x^8+247*x^7+7318*x^6+44089*x^5+78130*x^4+44089*x^3+7318*x^2+247*x+1)/(x-1)^10 ogf] A168122 5.21451 [-x*(x+1)*(x^4+26*x^3+126*x^2+26*x+1)/(x-1)^7 ogf] A168122 8.41380 [-2*(17+233*x+x^5+608*x^2+358*x^3+43*x^4)/(x-1)/(x+1)/(x^4+26*x^3+126*x^2+26*x+1) lgdogf] A168123 4.50193 [x*(62*x^5+593*x^4+1208*x^3+598*x^2+58*x+1)/(x-1)^8 ogf] A168123 6.81849 [-6*(11+267*x+31*x^5+447*x^4+1202*x^2+1402*x^3)/(x-1)/(62*x^5+593*x^4+1208*x^3+598*x^2+58*x+1) lgdogf] A168124 4.07361 [-x*(x+1)*(x^6+120*x^5+2031*x^4+5776*x^3+2031*x^2+120*x+1)/(x-1)^9 ogf] A168125 3.73983 [x*(254*x^7+7297*x^6+44124*x^5+78095*x^4+44110*x^3+7311*x^2+248*x+1)/(x-1)^10 ogf] A168150 13.4953 [x*(3*x^2+3*x+1)/(2*x+1)^2 ogf] A168150 6.80736 [{-a(n+4)-4*a(n+3)-4*a(n+2),a(0)=0,a(1)=1,a(2)=-1,a(3)=3} ogf] A168150 7.93022 [(f(x)+1)*(4*f(x)*x^2-3*x^3+4*f(x)*x-3*x^2+f(x)-x) ogf] A168175 18.6764 [1/(7*x^2-4*x+1) ogf] A168175 25.7076 [-2*(-2+7*x)/(7*x^2+1-4*x) lgdogf] A168175 7.51612 [{-a(n+2)+4*a(n+1)-7*a(n),a(0)=1,a(1)=4} ogf] A168175 7.60891 [(f(x)+7)*(7*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A168178 10.9016 [-2*(10+65*x+x^4+81*x^2+23*x^3)/(x-1)/(x^4+14*x^3+30*x^2+14*x+1) lgdogf] A168178 6.28018 [x*(x^4+14*x^3+30*x^2+14*x+1)/(x-1)^6 ogf] A168179 4.26342 [x*(x^6+60*x^5+591*x^4+1216*x^3+591*x^2+60*x+1)/(x-1)^8 ogf] A168179 6.21686 [-2*(34+801*x+x^6+93*x^5+1332*x^4+3597*x^2+4222*x^3)/(x-1)/(x^6+60*x^5+591*x^4+1216*x^3+591*x^2+60*x+1) lgdogf] A168180 3.71064 [-x*(124*x^6+2151*x^5+7797*x^4+7822*x^3+2142*x^2+123*x+1)/(x-1)^9 ogf] A168181 10.8957 [-x*(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A168181 31.8701 [x^7-x^6+1 ogf_with_Euler_transform] A168181 7.36877 [-(1+8*x^7+7*x^8+6*x^9+5*x^10+4*x^11+3*x^12+6*x^5+2*x+2*x^13+4*x^3+3*x^2+5*x^4)/(x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A168182 10.0586 [-x*(x+1)*(x^2+1)*(x^4+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A168182 32.1904 [x^8-x^7+1 ogf_with_Euler_transform] A168183 31.0147 [-x^8+x^7+2 ogf_with_Euler_transform] A168183 8.27869 [(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A168184 32.3506 [x^9-x^8+1 ogf_with_Euler_transform] A168184 9.21667 [-x*(x^2+x+1)*(x^6+x^3+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A168185 30.5631 [x^11-x^10+1 ogf_with_Euler_transform] A168185 7.91173 [-x*(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A168186 28.8762 [-x^11+x^10+2 ogf_with_Euler_transform] A168186 6.55548 [(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A168187 5.09170 [x*(x^8+250*x^7+7300*x^6+44134*x^5+78070*x^4+44134*x^3+7300*x^2+250*x+1)/(x-1)^10 ogf] A168192 5.21451 [-x*(x+1)*(x^2+4*x+1)*(x^2+28*x+1)/(x-1)^7 ogf] A168192 8.74162 [-2*(20+245*x+x^5+584*x^2+358*x^3+52*x^4)/(x-1)/(x+1)/(x^2+4*x+1)/(x^2+28*x+1) lgdogf] A168193 11.749 [f(x)*x^3-2*f(x)*x-2*x^2+f(x)-2*x ogf] A168193 16.0649 [2*x*(x+1)/(x-1)/(x^2+x-1) ogf] A168193 19.9064 [-(-3+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x-1) lgdogf] A168193 8.46431 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=2,a(2)=6} ogf] A168194 4.50193 [x*(56*x^5+605*x^4+1208*x^3+586*x^2+64*x+1)/(x-1)^8 ogf] A168194 6.96834 [-12*(6+135*x+14*x^5+225*x^4+595*x^2+705*x^3)/(x-1)/(56*x^5+605*x^4+1208*x^3+586*x^2+64*x+1) lgdogf] A168195 13.9517 [(2*x^2-5*x+5)/(x+1)/(x-1)^2 ogf] A168195 19.9608 [-2*x*(7-4*x+x^2)/(x-1)/(x+1)/(2*x^2-5*x+5) lgdogf] A168195 7.21233 [-(44*f(x)+123)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)+5*x-5) ogf] A168195 7.66717 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=0,a(2)=7} ogf] A168197 15.4508 [-x*(4*x-7)/(x+1)/(x-1)^2 ogf] A168197 24.1109 [-(-3-17*x+8*x^2)/(x-1)/(4*x-7)/(x+1) lgdogf] A168197 7.46351 [-(1941*f(x)+13481)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-7*x) ogf] A168197 7.93419 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=3} ogf] A168198 14.8349 [-(3*x^2-5*x-1)/(x+1)/(x-1)^2 ogf] A168198 18.8923 [-(-6-2*x-7*x^2+3*x^3)/(x-1)/(x+1)/(3*x^2-5*x-1) lgdogf] A168198 7.54108 [-(195*f(x)+1268)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-5*x-1) ogf] A168198 8.07973 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=4} ogf] A168199 14.8349 [-(2*x+1)*(x-2)/(x+1)/(x-1)^2 ogf] A168199 7.66889 [-(78*f(x)+719)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-3*x-2) ogf] A168199 8.07973 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=5} ogf] A168200 17.0742 [-(x-4)/(x+1)/(x-1)^2 ogf] A168200 26.1158 [-(-3-11*x+2*x^2)/(x-1)/(x-4)/(x+1) lgdogf] A168200 8.07973 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=3,a(2)=7} ogf] A168200 8.37898 [(393*f(x)+2117)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)+x-4) ogf] A168201 18.1207 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A168201 32.6893 [x^10+x^6 ogf_with_Euler_transform] A168202 14.8349 [(x^2-3*x+5)/(x+1)/(x-1)^2 ogf] A168202 20.6497 [-(2+14*x-5*x^2+x^3)/(x-1)/(x+1)/(x^2-3*x+5) lgdogf] A168202 7.73444 [(1147*f(x)+8529)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)+3*x-5) ogf] A168202 8.07973 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=2,a(2)=8} ogf] A168203 15.7296 [-x*(5*x-9)/(x+1)/(x-1)^2 ogf] A168203 23.2636 [-2*(-2-11*x+5*x^2)/(x-1)/(5*x-9)/(x+1) lgdogf] A168203 7.53434 [-(10912*f(x)+96253)*(f(x)*x^3-f(x)*x^2-f(x)*x+5*x^2+f(x)-9*x) ogf] A168203 8.07734 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=4} ogf] A168204 14.7668 [-(4*x^2-7*x-1)/(x+1)/(x-1)^2 ogf] A168204 18.8089 [-2*(-4-x-5*x^2+2*x^3)/(x-1)/(x+1)/(4*x^2-7*x-1) lgdogf] A168204 7.63369 [(5536*f(x)+46365)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-7*x-1) ogf] A168204 8.04263 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=5} ogf] A168205 14.4393 [-(3*x+1)*(x-2)/(x+1)/(x-1)^2 ogf] A168205 18.3851 [-(-7-5*x+3*x^3-7*x^2)/(x-1)/(x-2)/(3*x+1)/(x+1) lgdogf] A168205 7.46437 [(1952*f(x)+15653)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-5*x-2) ogf] A168205 7.86425 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=7,a(2)=6} ogf] A168206 14.9431 [-x*(6*x-11)/(x+1)/(x-1)^2 ogf] A168206 22.4820 [-(-5-27*x+12*x^2)/(6*x-11)/(x-1)/(x+1) lgdogf] A168206 7.1628 [-(12385*f(x)+132578)*(f(x)*x^3-f(x)*x^2-f(x)*x+6*x^2+f(x)-11*x) ogf] A168206 7.73837 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=5} ogf] A168207 14.0455 [-(9*x^2-12*x-2)/(x+1)/(x-1)^2 ogf] A168207 18.5721 [-(-14+9*x^3-15*x^2)/(x-1)/(x+1)/(9*x^2-12*x-2) lgdogf] A168207 7.31786 [(5715*f(x)+99457)*(f(x)*x^3-f(x)*x^2-f(x)*x+9*x^2+f(x)-12*x-2) ogf] A168207 7.70641 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=14,a(2)=7} ogf] A168209 14.1405 [-(3*x^2-5*x-3)/(x+1)/(x-1)^2 ogf] A168209 18.0013 [-(-8-8*x+3*x^3-7*x^2)/(x-1)/(x+1)/(3*x^2-5*x-3) lgdogf] A168209 7.43596 [-(5*f(x)+49)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-5*x-3) ogf] A168209 7.70152 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=8,a(2)=8} ogf] A168210 14.6832 [-x*(7*x-13)/(x+1)/(x-1)^2 ogf] A168210 21.5215 [-2*(-3-16*x+7*x^2)/(x-1)/(7*x-13)/(x+1) lgdogf] A168210 7.03821 [-(48876*f(x)+615487)*(f(x)*x^3-f(x)*x^2-f(x)*x+7*x^2+f(x)-13*x) ogf] A168210 7.60378 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=6} ogf] A168211 14.6229 [-x*(8*x-15)/(x+1)/(x-1)^2 ogf] A168211 21.9973 [-(-7-37*x+16*x^2)/(8*x-15)/(x-1)/(x+1) lgdogf] A168211 7.00932 [-(43673*f(x)+632531)*(f(x)*x^3-f(x)*x^2-f(x)*x+8*x^2+f(x)-15*x) ogf] A168211 7.57257 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=7} ogf] A168212 14.1043 [-(4*x^2-7*x-4)/(x+1)/(x-1)^2 ogf] A168212 16.8810 [-(-11-11*x+4*x^3-10*x^2)/(x-1)/(x+1)/(4*x^2-7*x-4) lgdogf] A168212 7.4169 [-(7*f(x)+93)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-7*x-4) ogf] A168212 7.54703 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=11,a(2)=11} ogf] A168213 13.8524 [-(5*x^2-9*x-5)/(x+1)/(x-1)^2 ogf] A168213 16.5765 [-(-14-14*x+5*x^3-13*x^2)/(x-1)/(x+1)/(5*x^2-9*x-5) lgdogf] A168213 6.8699 [-(6327*f(x)+137905)*(f(x)*x^3-f(x)*x^2-f(x)*x+5*x^2+f(x)-9*x-5) ogf] A168213 7.41225 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=14,a(2)=14} ogf] A168223 10.5742 [-(-3+x+9*x^5+3*x^4+6*x^3+3*x^2-3*x^6+8*x^7)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A168223 17.0239 [-x^5+x^3+3*x^2+2*x-3 ogf_with_Euler_transform] A168223 6.36763 [-x^4*(x^2-x+1)/(x^2+1)/(x-1)^2/(x^2+x+1)^2/(x+1)^2 ogf] A168224 11.7299 [x*(x^3+4*x^2+2*x+5)/(x^2+x+1)/(x-1)^2 ogf] A168224 12.5978 [-(7+15*x+x^5+9*x^4+11*x^3+29*x^2)/(x-1)/(x^2+x+1)/(x^3+4*x^2+2*x+5) lgdogf] A168224 5.28570 [{(12*n+23)*a(n)+12*a(n+1)+12*a(n+2)+(-12*n-11)*a(n+3),a(0)=0,a(1)=5,a(2)=7,a(3)=11} ogf] A168224 6.63785 [(2088*f(x)+6935)*(f(x)*x^4-f(x)*x^3-x^4-4*x^3-f(x)*x-2*x^2+f(x)-5*x) ogf] A168230 15.9823 [-x*(3*x-4)/(x+1)/(x-1)^2 ogf] A168230 25.6582 [-(-1-9*x+6*x^2)/(x-1)/(3*x-4)/(x+1) lgdogf] A168230 8.13384 [-(f(x)+16)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-4*x) ogf] A168230 8.20712 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=1} ogf] A168232 14.3953 [2*(x^2-x+1)/(x+1)/(x-1)^2 ogf] A168232 25.4507 [-x*(4+x^2-x)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A168232 30.1790 [-x^5+x^2+2*x ogf_with_Euler_transform] A168232 7.50523 [-(25*f(x)+78)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)+2*x-2) ogf] A168232 7.91092 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=0,a(2)=4} ogf] A168233 14.8349 [-(x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A168233 20.6497 [-(-4-4*x-5*x^2+x^3)/(x-1)/(x+1)/(x^2-3*x-1) lgdogf] A168233 7.80112 [-(3*f(x)+13)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-3*x-1) ogf] A168233 8.07973 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=4} ogf] A168235 14.0928 [-(x^2+13)/(x-1)^3 ogf] A168235 28.6517 [-(39+2*x+x^2)/(x-1)/(x^2+13) lgdogf] A168235 6.9862 [(45423*f(x)-490369)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+13) ogf] A168235 7.10770 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=39,a(2)=79} ogf] A168236 15.7269 [(x^2+2)/(x+1)/(x-1)^2 ogf] A168236 24.4289 [-(2+8*x+x^3+x^2)/(x-1)/(x+1)/(x^2+2) lgdogf] A168236 8.00388 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=5} ogf] A168236 8.22415 [(15*f(x)+92)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2) ogf] A168237 11.246 [f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x) ogf] A168237 20.0820 [3*x/(x+1)/(x-1)^2 ogf] A168237 42.8896 [[1+x] ogf_with_Euler_transform] A168237 44.5450 [-(1+3*x)/(x-1)/(x+1) lgdogf] A168237 8.14133 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=3} ogf] A168240 13.1421 [-(x^2+4*x+21)/(x-1)^3 ogf] A168240 24.2382 [-(67+10*x+x^2)/(x-1)/(x^2+4*x+21) lgdogf] A168240 6.67879 [(72839*f(x)-1436685)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+21) ogf] A168240 7.02424 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=67,a(2)=139} ogf] A168244 14.3093 [(4*x^2+x-1)/(x-1)^3 ogf] A168244 32.3964 [-(-1-12*x+x^2)/(x-1)/(x^2-7*x+2) lgdogf] A168244 7.59013 [(688*f(x)+995)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)-x+1) ogf] A168244 7.79345 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=-1} ogf] A168251 4.36428 [-x*(64*x^10+16*x^9+336*x^8-44*x^7-212*x^6+36*x^5+23*x^4-4*x^3+6*x^2-4*x-1)/(x-1)^3/(2*x+1)^3/(2*x-1)^3/(x+1)^3 ogf] A168269 15.6561 [(x^2+3)/(x+1)/(x-1)^2 ogf] A168269 23.6659 [-(3+11*x+x^2+x^3)/(x-1)/(x+1)/(3+x^2) lgdogf] A168269 7.96781 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=3,a(2)=7} ogf] A168269 8.1127 [(84*f(x)+701)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-3) ogf] A168273 11.5352 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-4*x ogf] A168273 19.7379 [4*x/(x+1)/(x-1)^2 ogf] A168273 42.1415 [[1+x] ogf_with_Euler_transform] A168273 43.7818 [-(1+3*x)/(x-1)/(x+1) lgdogf] A168273 8.00186 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=4} ogf] A168276 10.4988 [-f(x)*x^3+f(x)*x^2+f(x)*x+2*x^2-f(x)+2 ogf] A168276 15.6561 [2*(x^2+1)/(x+1)/(x-1)^2 ogf] A168276 24.3232 [-(1+5*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A168276 30.6602 [[-x^3+2*x+1] ogf_with_Euler_transform] A168276 7.96781 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=6} ogf] A168277 10.4002 [-f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)+1 ogf] A168277 15.5091 [(3*x^2+1)/(x+1)/(x-1)^2 ogf] A168277 20.6490 [-(1+9*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+1) lgdogf] A168277 7.89300 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A168278 14.1405 [-(2*x^2-5*x-2)/(x+1)/(x-1)^2 ogf] A168278 18.0013 [-(-7-7*x+2*x^3-8*x^2)/(x-1)/(x+1)/(2*x^2-5*x-2) lgdogf] A168278 7.18809 [-(855*f(x)+9119)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-5*x-2) ogf] A168278 7.70152 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=7,a(2)=7} ogf] A168280 15.3368 [(x^2+4)/(x+1)/(x-1)^2 ogf] A168280 23.1791 [-(4+14*x+x^3+x^2)/(x-1)/(x+1)/(x^2+4) lgdogf] A168280 7.80536 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=4,a(2)=9} ogf] A168280 7.94729 [(65*f(x)+433)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-4) ogf] A168282 14.1405 [-(x^2-5*x-1)/(x+1)/(x-1)^2 ogf] A168282 19.6759 [-(-6-6*x+x^3-9*x^2)/(x-1)/(x+1)/(x^2-5*x-1) lgdogf] A168282 7.43596 [-(5*f(x)+31)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-5*x-1) ogf] A168282 7.70152 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=6} ogf] A168283 15.3368 [(2*x^2+3)/(x+1)/(x-1)^2 ogf] A168283 19.9448 [-(3+13*x+2*x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+3) lgdogf] A168283 7.80536 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=3,a(2)=8} ogf] A168283 7.80537 [(480*f(x)+4889)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-3) ogf] A168284 11.1486 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-5*x ogf] A168284 19.0765 [5*x/(x+1)/(x-1)^2 ogf] A168284 40.7172 [[1+x] ogf_with_Euler_transform] A168284 42.3031 [-(1+3*x)/(x-1)/(x+1) lgdogf] A168284 7.73372 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=5} ogf] A168286 14.2196 [-2*(x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A168286 19.7895 [-(-4-4*x+x^3-5*x^2)/(x-1)/(x+1)/(x^2-3*x-1) lgdogf] A168286 7.74459 [(3*f(x)+26)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-6*x-2) ogf] A168286 7.74459 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=8,a(2)=8} ogf] A168297 12.0171 [-(-1-13*x+3*x^3-13*x^2)/(x-1)/(3*x^3-11*x^2+3*x-1) lgdogf] A168297 3.95988 [{(257*n^2+1501*n+1974)*a(n+1)+(-466*n^2-2184*n-2286)*a(n+2)+(209*n^2+827*n+600)*a(n+3),a(0)=1,a(1)=1,a(2)=9} ogf] A168297 5.13998 [-(47358*f(x)+287101)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-11*x^2+f(x)+3*x-1) ogf] A168297 9.95046 [-(3*x^3-11*x^2+3*x-1)/(x-1)^4 ogf] A168298 4.409 [-(15620*f(x)-4731)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+4*x^3-7*f(x)*x-10*x^2+f(x)+8*x-1) ogf] A168298 8.32200 [-(4*x^3-10*x^2+8*x-1)/(x-1)/(2*x-1)^3 ogf] A168298 9.80520 [-(-1-20*x+8*x^4+46*x^2-32*x^3)/(x-1)/(2*x-1)/(4*x^3-10*x^2+8*x-1) lgdogf] A168299 6.06319 [-(54*x^4-117*x^3+87*x^2-9*x+1)/(x-1)/(3*x-1)^4 ogf] A168299 7.10584 [-2*(-2-39*x+81*x^5-270*x^4-96*x^2+342*x^3)/(x-1)/(-1+3*x)/(54*x^4-117*x^3+87*x^2-9*x+1) lgdogf] A168300 15.0126 [(x^2+5)/(x+1)/(x-1)^2 ogf] A168300 22.6849 [-(5+17*x+x^3+x^2)/(x-1)/(x+1)/(x^2+5) lgdogf] A168300 7.57272 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=5,a(2)=11} ogf] A168300 7.77925 [(24*f(x)+199)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-5) ogf] A168301 14.2196 [-(x^2-6*x-1)/(x+1)/(x-1)^2 ogf] A168301 19.3398 [-(-7-7*x+x^3-11*x^2)/(x-1)/(x+1)/(x^2-6*x-1) lgdogf] A168301 7.47754 [-(6*f(x)+43)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-6*x-1) ogf] A168301 7.74459 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=7} ogf] A168302 5.02350 [(x^4+23*x^3+40*x^2-2*x-8)/(x-1)^8 ogf] A168302 9.68470 [-(-66+66*x+309*x^2+119*x^3+4*x^4)/(x-1)/(x^4+23*x^3+40*x^2-2*x-8) lgdogf] A168303 4.32475 [(x^5+53*x^4+260*x^3+236*x^2+68*x+24)/(x-1)^10 ogf] A168303 6.84107 [-(308+1084*x+2668*x^2+2032*x^3+323*x^4+5*x^5)/(x-1)/(x^5+53*x^4+260*x^3+236*x^2+68*x+24) lgdogf] A168304 4.53569 [(x^4+32*x^3+136*x^2+128*x+24)/(x-1)^10 ogf] A168304 8.31776 [-2*(184+712*x+592*x^2+114*x^3+3*x^4)/(x-1)/(x^4+32*x^3+136*x^2+128*x+24) lgdogf] A168305 5.05225 [(16*x^4+576*x^3+1112*x^2+192*x-15)/(2*x-1)^8 ogf] A168305 7.00702 [-16*(-3+307*x+942*x^2+364*x^3+8*x^4)/(2*x-1)/(16*x^4+576*x^3+1112*x^2+192*x-15) lgdogf] A168307 10.1042 [-8*(2*x+3)*(50*x^2+45*x-8)/(2*x-1)/(80*x^3+140*x^2+48*x-15) lgdogf] A168307 5.24332 [4*(80*x^3+140*x^2+48*x-15)/(2*x-1)^8 ogf] A168308 5.54713 [-4*(3099+13192*x+44552*x^2+35872*x^3+5808*x^4)/(-1+2*x)/(1936*x^4+9696*x^3+9320*x^2+1896*x+525) lgdogf] A168309 10.1023 [-(100*f(x)-319)*(f(x)*x^2-f(x)-3*x+4) ogf] A168309 11.8386 [{a(n+2)-a(n),a(0)=4,a(1)=-3} ogf] A168309 18.4798 [(3*x-4)/(x-1)/(x+1) ogf] A168309 27.2365 [-(3-8*x+3*x^2)/(x-1)/(3*x-4)/(x+1) lgdogf] A168309 31.9325 [(-2+(4-3*x+x^2)^(1/2))/(-3+x) revogf] A168321 15.7317 [-x*(7*x-8)/(x+1)/(x-1)^2 ogf] A168321 23.8874 [-(-1-17*x+14*x^2)/(x-1)/(7*x-8)/(x+1) lgdogf] A168321 8.0063 [-(f(x)+64)*(f(x)*x^3-f(x)*x^2-f(x)*x+7*x^2+f(x)-8*x) ogf] A168321 8.07843 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=1} ogf] A168326 15.0126 [2*(x^2+2)/(x+1)/(x-1)^2 ogf] A168326 23.3150 [-(2+8*x+x^3+x^2)/(x-1)/(x+1)/(x^2+2) lgdogf] A168326 7.57272 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=4,a(2)=10} ogf] A168326 7.77925 [(15*f(x)+184)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-4) ogf] A168328 11.2115 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-6*x ogf] A168328 19.1841 [6*x/(x+1)/(x-1)^2 ogf] A168328 40.9434 [[1+x] ogf_with_Euler_transform] A168328 42.5475 [-(1+3*x)/(x-1)/(x+1) lgdogf] A168328 7.77732 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=6} ogf] A168329 10.3421 [-f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)+3 ogf] A168329 15.4224 [3*(x^2+1)/(x+1)/(x-1)^2 ogf] A168329 23.9603 [-(1+5*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A168329 30.1936 [[-x^3+2*x+1] ogf_with_Euler_transform] A168329 7.84892 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=3,a(2)=9} ogf] A168330 10.2388 [-(39*f(x)-101)*(f(x)*x^2-f(x)-2*x+3) ogf] A168330 11.8386 [{a(n+2)-a(n),a(0)=3,a(1)=-2} ogf] A168330 18.4798 [(2*x-3)/(x-1)/(x+1) ogf] A168330 26.4583 [1/2/(-2+x)*(-3+(9-8*x+4*x^2)^(1/2)) revogf] A168330 27.2365 [-2*(1-3*x+x^2)/(x-1)/(2*x-3)/(x+1) lgdogf] A168331 14.1043 [-(3*x^2-7*x-3)/(x+1)/(x-1)^2 ogf] A168331 16.8810 [-(-10-10*x+3*x^3-11*x^2)/(x-1)/(x+1)/(3*x^2-7*x-3) lgdogf] A168331 7.4169 [-(7*f(x)+79)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-7*x-3) ogf] A168331 7.54703 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=10,a(2)=10} ogf] A168332 14.9510 [(x^2+6)/(x+1)/(x-1)^2 ogf] A168332 22.5918 [-(6+20*x+x^3+x^2)/(x-1)/(x+1)/(x^2+6) lgdogf] A168332 7.54165 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=6,a(2)=13} ogf] A168332 7.60898 [(133*f(x)+1321)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-6) ogf] A168333 13.9706 [-(2*x^2-7*x-2)/(x+1)/(x-1)^2 ogf] A168333 17.4145 [-(-9-9*x+2*x^3-12*x^2)/(x-1)/(x+1)/(2*x^2-7*x-2) lgdogf] A168333 7.3466 [-(7*f(x)+67)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-7*x-2) ogf] A168333 7.60898 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=9,a(2)=9} ogf] A168336 14.9510 [(2*x^2+5)/(x+1)/(x-1)^2 ogf] A168336 19.4394 [-(5+19*x+2*x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+5) lgdogf] A168336 7.54165 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=5,a(2)=12} ogf] A168336 7.60898 [(119*f(x)+1013)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-5) ogf] A168337 14.1624 [-(x^2-7*x-1)/(x+1)/(x-1)^2 ogf] A168337 19.2620 [-(-8-8*x+x^3-13*x^2)/(x-1)/(x+1)/(x^2-7*x-1) lgdogf] A168337 7.44747 [-(7*f(x)+57)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-7*x-1) ogf] A168337 7.71345 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=8} ogf] A168351 5.55367 [-x*(16*x^4+131*x^3+171*x^2+41*x+1)/(x-1)^7 ogf] A168351 9.48034 [-12*(4+49*x+104*x^2+49*x^3+4*x^4)/(x-1)/(16*x^4+131*x^3+171*x^2+41*x+1) lgdogf] A168361 11.8386 [{a(n+2)-a(n),a(0)=2,a(1)=-1} ogf] A168361 16.8371 [-f(x)*x^2+f(x)+x-2 ogf] A168361 18.4798 [(x-2)/(x-1)/(x+1) ogf] A168361 30.8680 [-(1-4*x+x^2)/(x-1)/(x-2)/(x+1) lgdogf] A168361 34.2978 [(-1+(1-x+x^2)^(1/2))/(-1+x) revogf] A168364 4.26342 [x*(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1)/(x-1)^8 ogf] A168364 6.15650 [-2*(40+855*x+x^6+111*x^5+1386*x^4+3561*x^2+4126*x^3)/(x-1)/(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1) lgdogf] A168371 3.71064 [-x*(112*x^6+2151*x^5+7857*x^4+7762*x^3+2142*x^2+135*x+1)/(x-1)^9 ogf] A168372 5.09170 [x*(x^8+262*x^7+7288*x^6+44074*x^5+78190*x^4+44074*x^3+7288*x^2+262*x+1)/(x-1)^10 ogf] A168373 14.9510 [(3*x^2+4)/(x+1)/(x-1)^2 ogf] A168373 19.4394 [-(4+18*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+4) lgdogf] A168373 7.54165 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=4,a(2)=11} ogf] A168373 7.67753 [(105*f(x)+779)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-4) ogf] A168374 11.1664 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-7*x ogf] A168374 19.1069 [7*x/(x+1)/(x-1)^2 ogf] A168374 40.7754 [[1+x] ogf_with_Euler_transform] A168374 42.3764 [-(1+3*x)/(x-1)/(x+1) lgdogf] A168374 7.74605 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=7} ogf] A168376 14.9510 [(4*x^2+3)/(x+1)/(x-1)^2 ogf] A168376 19.4394 [-(3+17*x+4*x^3+4*x^2)/(x-1)/(x+1)/(4*x^2+3) lgdogf] A168376 7.54164 [(840*f(x)+12791)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-3) ogf] A168376 7.54165 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=3,a(2)=10} ogf] A168378 14.2380 [-(3*x+1)*(x-3)/(x+1)/(x-1)^2 ogf] A168378 17.0441 [-(-11-11*x-13*x^2+3*x^3)/(x-1)/(x-3)/(3*x+1)/(x+1) lgdogf] A168378 7.61856 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=11,a(2)=11} ogf] A168378 7.7546 [(8*f(x)+97)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-8*x-3) ogf] A168379 14.8883 [(x^2+7)/(x+1)/(x-1)^2 ogf] A168379 22.4970 [-(7+23*x+x^3+x^2)/(x-1)/(x+1)/(x^2+7) lgdogf] A168379 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=7,a(2)=15} ogf] A168379 7.64534 [(88*f(x)+1019)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-7) ogf] A168380 11.5429 [2*(x^2+1)/(x+1)^2/(x-1)^4 ogf] A168380 22.9831 [-2*(1+4*x+x^2+2*x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A168380 32.0740 [[-x^3+3*x+2] ogf_with_Euler_transform] A168381 14.2380 [-2*(x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A168381 19.8187 [-(-5-5*x-7*x^2+x^3)/(x-1)/(x+1)/(x^2-4*x-1) lgdogf] A168381 7.61856 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=10,a(2)=10} ogf] A168381 7.7546 [(2*f(x)+21)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-8*x-2) ogf] A168384 14.8883 [2*(x^2+3)/(x+1)/(x-1)^2 ogf] A168384 22.4970 [-(3+11*x+x^3+x^2)/(x-1)/(x+1)/(x^2+3) lgdogf] A168384 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=6,a(2)=14} ogf] A168384 7.71484 [(42*f(x)+701)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-6) ogf] A168388 12.0600 [-(x+3)*(x^2+1)*(x^3-3*x^2-x-1)/(x-1)/(x+1)/(x^2-2*x-1)/(x^3+x^2-x+1) lgdogf] A168388 7.66498 [-(x^2-2*x-1)*(x^3+x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A168390 14.1043 [-(x^2-8*x-1)/(x+1)/(x-1)^2 ogf] A168390 19.1830 [-(-9-9*x+x^3-15*x^2)/(x-1)/(x+1)/(x^2-8*x-1) lgdogf] A168390 7.4169 [-(8*f(x)+73)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-8*x-1) ogf] A168390 7.68179 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=9} ogf] A168392 14.8883 [(3*x^2+5)/(x+1)/(x-1)^2 ogf] A168392 19.3579 [-(5+21*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+5) lgdogf] A168392 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=5,a(2)=13} ogf] A168392 7.57708 [(520*f(x)+8473)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-5) ogf] A168397 11.899 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-8*x ogf] A168397 20.3605 [8*x/(x+1)/(x-1)^2 ogf] A168397 43.4578 [[1+x] ogf_with_Euler_transform] A168397 8.25426 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=8} ogf] A168398 14.8883 [4*(x^2+1)/(x+1)/(x-1)^2 ogf] A168398 23.1219 [-(1+5*x+x^2+x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A168398 29.1378 [[-x^3+2*x+1] ogf_with_Euler_transform] A168398 7.51002 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=4,a(2)=12} ogf] A168398 9.98391 [-f(x)*x^3+f(x)*x^2+f(x)*x+4*x^2-f(x)+4 ogf] A168399 10.7083 [-(2*f(x)+25)*(f(x)*x^3+9*x^2-f(x)+3*x+1) ogf] A168399 11.2719 [{a(n+3)-a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A168399 14.9738 [-3*(1+6*x+x^2+2*x^3+3*x^4)/(x-1)/(x^2+x+1)/(9*x^2+3*x+1) lgdogf] A168399 17.4829 [-(9*x^2+3*x+1)/(x-1)/(x^2+x+1) ogf] A168400 13.3690 [-(5*x^3+7*x^2+2*x+1)/(x-1)/(x^2+1) ogf] A168400 14.5881 [-3*(1+4*x+3*x^2-2*x^3+4*x^4)/(x-1)/(5*x^3+7*x^2+2*x+1)/(1+x^2) lgdogf] A168400 6.93580 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=12} ogf] A168400 7.49968 [-(f(x)+2)*(f(x)*x^3-f(x)*x^2+5*x^3+f(x)*x+7*x^2-f(x)+2*x+1) ogf] A168401 13.8524 [-(4*x^2-9*x-4)/(x+1)/(x-1)^2 ogf] A168401 16.5765 [-(-13-13*x+4*x^3-14*x^2)/(x-1)/(x+1)/(4*x^2-9*x-4) lgdogf] A168401 7.2222 [-(9*f(x)+133)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-9*x-4) ogf] A168401 7.41225 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=13,a(2)=13} ogf] A168409 14.6826 [(x^2+8)/(x+1)/(x-1)^2 ogf] A168409 22.1821 [-(8+26*x+x^3+x^2)/(x-1)/(x+1)/(x^2+8) lgdogf] A168409 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=8,a(1)=8,a(2)=17} ogf] A168409 7.47243 [(225*f(x)+2977)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-8) ogf] A168410 13.8524 [-3*(x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A168410 19.2750 [-(-4-4*x+x^3-5*x^2)/(x-1)/(x+1)/(x^2-3*x-1) lgdogf] A168410 7.41225 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=12,a(2)=12} ogf] A168410 7.54462 [(f(x)+13)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-9*x-3) ogf] A168411 14.6826 [(2*x^2+7)/(x+1)/(x-1)^2 ogf] A168411 19.0870 [-(7+25*x+2*x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+7) lgdogf] A168411 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=7,a(2)=16} ogf] A168411 7.47243 [(207*f(x)+2423)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-7) ogf] A168413 13.8524 [-(2*x^2-9*x-2)/(x+1)/(x-1)^2 ogf] A168413 16.5765 [-(-11-11*x+2*x^3-16*x^2)/(x-1)/(x+1)/(2*x^2-9*x-2) lgdogf] A168413 6.92621 [-(3627*f(x)+61111)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-9*x-2) ogf] A168413 7.41225 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=11,a(2)=11} ogf] A168414 14.6826 [3*(x^2+2)/(x+1)/(x-1)^2 ogf] A168414 22.7983 [-(2+8*x+x^3+x^2)/(x-1)/(x+1)/(x^2+2) lgdogf] A168414 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=6,a(2)=15} ogf] A168414 7.74918 [(5*f(x)+92)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-6) ogf] A168415 10.5022 [1/2*ln(2*x+15)-arctanh(1/7*(2*x+64)^(1/2))-1/2*ln(15)+arctanh(8/7) revegf] A168415 15.3698 [-(15*x-8)/(2*x-1)/(x-1) ogf] A168415 17.7730 [-(9-32*x+30*x^2)/(x-1)/(15*x-8)/(2*x-1) lgdogf] A168415 8.03421 [(5*f(x)-121)*(2*f(x)*x^2-3*f(x)*x+f(x)+15*x-8) ogf] A168415 8.62209 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=8,a(1)=9} ogf] A168416 13.8524 [-(x^2-9*x-1)/(x+1)/(x-1)^2 ogf] A168416 18.0179 [-(-10-10*x+x^3-17*x^2)/(x-1)/(x+1)/(x^2-9*x-1) lgdogf] A168416 7.28446 [-(9*f(x)+91)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-9*x-1) ogf] A168416 7.41225 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=10} ogf] A168418 14.6826 [(4*x^2+5)/(x+1)/(x-1)^2 ogf] A168418 19.0870 [-(5+23*x+4*x^3+4*x^2)/(x-1)/(x+1)/(4*x^2+5) lgdogf] A168418 7.34133 [(2520*f(x)+46447)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-5) ogf] A168418 7.40629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=5,a(2)=14} ogf] A168419 10.9685 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-9*x ogf] A168419 18.7683 [9*x/(x+1)/(x-1)^2 ogf] A168419 40.0454 [[1+x] ogf_with_Euler_transform] A168419 41.6195 [-(3*x+1)/(x-1)/(x+1) lgdogf] A168419 7.60876 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=9} ogf] A168420 13.4395 [-2*(2*x^2-5*x-2)/(x+1)/(x-1)^2 ogf] A168420 17.3861 [-(-7-7*x+2*x^3-8*x^2)/(x-1)/(x+1)/(2*x^2-5*x-2) lgdogf] A168420 7.12178 [-(5*f(x)+78)*(f(x)*x^3-f(x)*x^2-f(x)*x+4*x^2+f(x)-10*x-4) ogf] A168420 7.30918 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=14,a(2)=14} ogf] A168427 13.4191 [-(20*x^3+7*x^2+2*x+1)/(x-1)/(x^2+1) ogf] A168427 14.1786 [-3*(1+4*x+9*x^4-12*x^3+18*x^2)/(x-1)/(x^2+1)/(20*x^3+7*x^2+2*x+1) lgdogf] A168427 7.06266 [{-a(n+4)+a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=27} ogf] A168427 7.82778 [(f(x)-1)*(f(x)*x^3-f(x)*x^2+20*x^3+f(x)*x+7*x^2-f(x)+2*x+1) ogf] A168428 10.3306 [{-a(n+3)+a(n+1),a(0)=1,a(1)=4,a(2)=6} ogf] A168428 10.9844 [-(3*f(x)+1)*(f(x)*x^2+5*x^2-f(x)+4*x+1) ogf] A168428 17.7096 [-(5*x^2+4*x+1)/(x-1)/(x+1) ogf] A168428 21.2399 [-4*(1+3*x+x^2)/(x-1)/(x+1)/(5*x^2+4*x+1) lgdogf] A168429 13.5215 [-(3*x^4+9*x^3+5*x^2+4*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A168429 8.04377 [-(4+10*x+27*x^2+12*x^3+5*x^4+16*x^5+15*x^6+18*x^7+3*x^8)/(-1+x)/(x^4+x^3+x^2+x+1)/(3*x^4+9*x^3+5*x^2+4*x+1) lgdogf] A168430 11.9046 [-2*(2-x+5*x^6-x^5+5*x^4+14*x^2-11*x^3)/(x-1)/(x+1)/(x^2-x+1)/(10*x^3-x^2+3*x+1) lgdogf] A168430 13.6923 [-(10*x^3-x^2+3*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A168430 7.66768 [-(3*f(x)-22)*(f(x)*x^4-f(x)*x^3+10*x^3+f(x)*x-x^2-f(x)+3*x+1) ogf] A168437 13.4395 [-(3*x^2-10*x-3)/(x+1)/(x-1)^2 ogf] A168437 16.0225 [-(-13-13*x+3*x^3-17*x^2)/(x-1)/(x+1)/(3*x^2-10*x-3) lgdogf] A168437 7.00208 [-(10*f(x)+139)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-10*x-3) ogf] A168437 7.30918 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=13,a(2)=13} ogf] A168456 14.8245 [2*(x^2+4)/(x+1)/(x-1)^2 ogf] A168456 22.4007 [-(4+14*x+x^3+x^2)/(x-1)/(x+1)/(x^2+4) lgdogf] A168456 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=8,a(1)=8,a(2)=18} ogf] A168456 7.6818 [(65*f(x)+866)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-8) ogf] A168457 13.4395 [-2*(x^2-5*x-1)/(x+1)/(x-1)^2 ogf] A168457 19.0034 [-(-6-6*x+x^3-9*x^2)/(x-1)/(x+1)/(x^2-5*x-1) lgdogf] A168457 6.8299 [-(595*f(x)+10978)*(f(x)*x^3-f(x)*x^2-f(x)*x+2*x^2+f(x)-10*x-2) ogf] A168457 7.30918 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=12,a(2)=12} ogf] A168458 14.8245 [(3*x^2+7)/(x+1)/(x-1)^2 ogf] A168458 19.2750 [-(7+27*x+3*x^3+3*x^2)/(x-1)/(x+1)/(3*x^2+7) lgdogf] A168458 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=7,a(2)=17} ogf] A168458 7.6818 [(60*f(x)+719)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-7) ogf] A168459 13.4395 [-(x^2-10*x-1)/(x+1)/(x-1)^2 ogf] A168459 17.3861 [-(-11-11*x+x^3-19*x^2)/(x-1)/(x+1)/(x^2-10*x-1) lgdogf] A168459 7.00208 [-(10*f(x)+111)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-10*x-1) ogf] A168459 7.30918 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=11} ogf] A168460 14.8245 [2*(2*x^2+3)/(x+1)/(x-1)^2 ogf] A168460 19.2750 [-(3+13*x+2*x^3+2*x^2)/(x-1)/(x+1)/(2*x^2+3) lgdogf] A168460 7.47785 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=6,a(2)=16} ogf] A168460 7.54462 [(240*f(x)+4889)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-6) ogf] A168461 10.6311 [f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-10*x ogf] A168461 18.0266 [10*x/(x+1)/(x-1)^2 ogf] A168461 39.3100 [[1+x] ogf_with_Euler_transform] A168461 40.8573 [-(1+3*x)/(x-1)/(x+1) lgdogf] A168461 7.33825 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=10} ogf] A168463 13.5693 [-(5*x^2-11*x-5)/(x+1)/(x-1)^2 ogf] A168463 16.1803 [-(-16-16*x+5*x^3-17*x^2)/(x-1)/(x+1)/(5*x^2-11*x-5) lgdogf] A168463 7.06974 [-(11*f(x)+201)*(f(x)*x^3-f(x)*x^2-f(x)*x+5*x^2+f(x)-11*x-5) ogf] A168463 7.37981 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=16,a(2)=16} ogf] A168465 13.9850 [(4*x^2+5*x+2)/(x+1)/(x-1)^2 ogf] A168465 7.11377 [(13+23*x+19*x^23-19*x^22-38*x^21+38*x^20+19*x^19-19*x^18-2*x^3+10*x^2)/(x-1)/(x+1)/(x^22-x^21-x^20+x^19+2*x^2-6*x-7) lgdogf] A168465 7.29131 [(1705*f(x)-2034)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-5*x-2) ogf] A168465 7.54942 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=7,a(2)=13} ogf] A168484 11.3094 [(4*x^4+2*x^3+2*x^2+x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A168484 9.28604 [-(3+7*x+12*x^5+12*x^4+31*x^3+11*x^2+8*x^6+4*x^7)/(x-1)/(x+1)/(x^2+1)/(4*x^4+2*x^3+2*x^2+x+2) lgdogf] A168486 13.9850 [(6*x^2+3*x+2)/(x+1)/(x-1)^2 ogf] A168486 16.5039 [-(-13-19*x+2*x^3-14*x^2)/(x-1)/(x+1)/(2*x^2-8*x-5) lgdogf] A168486 6.99249 [-(1023*f(x)+30083)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-3*x-2) ogf] A168486 7.54942 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=13} ogf] A168489 13.8578 [(x^2+4*x+7)/(x+1)/(x-1)^2 ogf] A168489 18.8460 [-(11+27*x+x^3+9*x^2)/(x-1)/(x+1)/(x^2+4*x+7) lgdogf] A168489 7.22499 [-(4*f(x)+395)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-4*x-7) ogf] A168489 7.41512 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=11,a(2)=19} ogf] A168490 10.4143 [1/6+1/3*x-2/3*x^2-1/6*(1-8*x+20*x^2-16*x^3+16*x^4)^(1/2) revogf] A168490 7.35486 [4*f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x+f(x)+3*x-1 ogf] A168491 110.915 [x*(x+1) revogf] A168491 18.1239 [-1+f(x)+f(x)^2*x ogf] A168491 22.8354 [-2/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2)) lgdogf] A168491 7.14501 [{(-4*n-6)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=-1} ogf] A168492 12.9352 [1/8+1/4*x-3/4*x^2-1/8*(1-12*x+40*x^2-24*x^3+36*x^4)^(1/2) revogf] A168492 3.67657 [{(-96*n-144)*a(n+1)+(76*n+180)*a(n+2)+(-16*n-58)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=7} ogf] A168492 9.25951 [6*f(x)^2*x^2-3*f(x)^2*x-2*f(x)*x+f(x)+4*x-1 ogf] A168494 11.2996 [1/2-1/2*x-3/2*x^2-1/2*(1-6*x+7*x^2+6*x^3+9*x^4)^(1/2) revogf] A168494 7.54841 [3*f(x)^2*x^2-3*f(x)^2*x+f(x)*x+f(x)+x-1 ogf] A168503 14.4249 [1/4-3/4*x^2-1/4*(1+18*x^2+9*x^4-8*x)^(1/2) revogf] A168503 9.81283 [-3*f(x)^2*x^2+3*f(x)^2*x-f(x)-2*x+1 ogf] A168505 8.89188 [-f(x)^2*x^2+f(x)^2*x-f(x)*x-f(x)+x+1 ogf] A168505 9.77366 [-1/2+1/2*x+1/2*x^2+1/2*(1+2*x-5*x^2+2*x^3+x^4)^(1/2) revogf] A168506 14.6382 [(-2-x^2+x^3+(4+4*x^2-4*x^3+x^4)^(1/2))/x^4 revogf] A168520 11.1358 [-f(x)*x^2+98*f(x)*x-f(x)+10*x ogf] A168520 13.4193 [-(-49*x-5+(48*x+5)^(1/2)*(10*x+1)^(1/2)*5^(1/2))/x revogf] A168520 17.4176 [10*x/(x^2-98*x+1) ogf] A168520 29.1725 [-2*(-49+x)/(x^2+1-98*x) lgdogf] A168520 8.18416 [{a(n+2)-98*a(n+1)+a(n),a(0)=0,a(1)=10} ogf] A168522 10.6283 [-2*f(x)*x^2+98*f(x)*x-f(x)+x ogf] A168522 11.0068 [-1/4*(-1-98*x+(1+196*x+9596*x^2)^(1/2))/x revogf] A168522 16.7140 [-2*(-49+2*x)/(2*x^2+1-98*x) lgdogf] A168522 18.7558 [x/(2*x^2-98*x+1) ogf] A168522 7.77678 [{a(n+2)-98*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A168526 5.16271 [x*(32*x^5+473*x^4+1208*x^3+718*x^2+88*x+1)/(x-1)^8 ogf] A168526 7.27906 [-12*(x+1)*(8*x^4+163*x^3+498*x^2+163*x+8)/(x-1)/(32*x^5+473*x^4+1208*x^3+718*x^2+88*x+1) lgdogf] A168527 4.07361 [-x*(x+1)*(x^6+150*x^5+2091*x^4+5596*x^3+2091*x^2+150*x+1)/(x-1)^9 ogf] A168538 16.3644 [-(-14+16*x+2*x^3-9*x^2)/(x-1)/(x-2)/(x^2-2*x+2) lgdogf] A168538 5.16529 [{(n+6)*a(n+1)+(-2*n-9)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=24,a(2)=84} ogf] A168538 8.29744 [6*x*(x-2)*(x^2-2*x+2)/(x-1)^5 ogf] A168547 10.3572 [(5*x^3+11*x^2-x+1)/(x-1)^4 ogf] A168547 16.8747 [-(3+19*x+5*x^3+37*x^2)/(x-1)/(5*x^3+11*x^2-x+1) lgdogf] A168547 4.14290 [{(-493*n^2-2180*n-2388)*a(n+1)+(434*n^2+142*n-1713)*a(n+2)+(59*n^2+382*n+615)*a(n+3),a(0)=1,a(1)=3,a(2)=17} ogf] A168547 5.53332 [(12928*f(x)+49631)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-11*x^2+f(x)+x-1) ogf] A168555 3.75588 [x*(224*x^7+7237*x^6+44334*x^5+78095*x^4+43900*x^3+7371*x^2+278*x+1)/(x-1)^10 ogf] A168559 10.3938 [x*(x^2-3*x+4)/(x-1)^4 ogf] A168559 22.6525 [-(13-7*x+2*x^2)/(x-1)/(x^2-3*x+4) lgdogf] A168559 3.79374 [{(12+4*n)*a(n+4)+(-27-7*n)*a(n+3)+(11+4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=13,a(3)=29} ogf] A168559 5.5383 [(1728*f(x)+25)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+3*x^2+f(x)-4*x) ogf] A168566 15.9802 [-(-35+12*x+2*x^3-9*x^2)/(x-1)/(x^3-4*x^2+5*x-8) lgdogf] A168566 8.37257 [x*(x^3-4*x^2+5*x-8)/(x-1)^5 ogf] A168569 10.8023 [-3*f(x)*x^2+4*f(x)*x-f(x)+9*x ogf] A168569 16.9644 [-1/6*(-9-4*x+(81+72*x+4*x^2)^(1/2))/x revogf] A168569 17.2254 [9*x/(3*x-1)/(x-1) ogf] A168569 24.1416 [-2*(-2+3*x)/(-1+3*x)/(x-1) lgdogf] A168569 7.86837 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=9} ogf] A168571 10.9732 [-5*f(x)*x^2+6*f(x)*x-f(x)+25*x ogf] A168571 13.9903 [-1/10*(-25-6*x+(625+300*x+16*x^2)^(1/2))/x revogf] A168571 17.3261 [25*x/(5*x-1)/(x-1) ogf] A168571 23.5037 [-2*(-3+5*x)/(5*x-1)/(x-1) lgdogf] A168571 8.02917 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=25} ogf] A168572 10.4851 [-7*f(x)*x^2+8*f(x)*x-f(x)+49*x ogf] A168572 12.9418 [-1/14*(-8*x-49+(36*x^2+784*x+2401)^(1/2))/x revogf] A168572 16.5553 [49*x/(7*x-1)/(x-1) ogf] A168572 21.4038 [-2*(-4+7*x)/(7*x-1)/(-1+x) lgdogf] A168572 7.67199 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=0,a(1)=49} ogf] A168574 10.4045 [(x^3+11*x^2+3*x+1)/(x-1)^4 ogf] A168574 18.1090 [-(x+1)*(x^2+24*x+7)/(x-1)/(x^3+11*x^2+3*x+1) lgdogf] A168574 4.24897 [{(-127*n^2-602*n-696)*a(n+1)+(86*n^2-114*n-621)*a(n+2)+(41*n^2+212*n+267)*a(n+3),a(0)=1,a(1)=7,a(2)=33} ogf] A168574 5.59692 [(3584*f(x)+18631)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-11*x^2+f(x)-3*x-1) ogf] A168575 4.10451 [-(1331000*x^3-448440*x^2+7557*x-8)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A168579 17.8907 [1/32/x*(-x-1+(65*x^2+2*x+1)^(1/2)) revogf] A168579 18.2596 [-1/(16*x^2+x-1) ogf] A168579 27.6493 [-(1+32*x)/(16*x^2-1+x) lgdogf] A168579 7.21893 [(305*f(x)-304)*(16*f(x)*x^2+f(x)*x-f(x)+1) ogf] A168579 7.47984 [{-a(n+2)+a(n+1)+16*a(n),a(0)=1,a(1)=1} ogf] A168582 10.1577 [-(1+3*x+x^5+7*x^4+16*x^3+4*x^2)/(-1+x)/(x+1)/(x^4+2*x^3+2*x^2-2*x+1) lgdogf] A168582 7.58686 [(x^4+2*x^3+2*x^2-2*x+1)/(x+1)/(x-1)^4 ogf] A168583 11.8544 [-(3*x^2-2*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A168583 6.44712 [(13*f(x)+19)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A168583 6.44712 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A168583 7.83873 [-2*(2-8*x+9*x^4-12*x^3+11*x^2)/(x-1)/(3*x-1)/(2*x-1)/(3*x^2-2*x+1) lgdogf] A168584 4.04376 [-(322057*f(x)+53640)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-10*f(x)*x-6*x^2+f(x)+3*x-1) ogf] A168584 6.56846 [-(-7+58*x-195*x^2+396*x^3-516*x^4+288*x^5)/(x-1)/(-1+4*x)/(3*x-1)/(-1+2*x)/(6*x^2-3*x+1) lgdogf] A168584 8.08752 [(6*x^2-3*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A168585 6.44430 [-(10*x^2-4*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A168587 15.1075 [x*(x^5-x^4-4*x^3+2*x^2-2)/(x-1) ogf] A168587 15.4393 [2*(1-2*x+2*x^5-4*x^4+7*x^2-2*x^3)/(x-1)/(x^5-x^4-4*x^3+2*x^2-2) lgdogf] A168589 13.1616 [(5*x+1)/(x+1)/(3*x+1) ogf] A168589 14.3727 [-1/2*(-1+4*x+(1+12*x+4*x^2)^(1/2))/(-5+3*x) revogf] A168589 16.2638 [-(-1+6*x+15*x^2)/(5*x+1)/(3*x+1)/(x+1) lgdogf] A168589 6.80774 [(46*f(x)-45)*(3*f(x)*x^2+4*f(x)*x+f(x)-5*x-1) ogf] A168589 7.22285 [{a(n+2)+4*a(n+1)+3*a(n),a(0)=1,a(1)=1} ogf] A168592 21.9640 [x*(-1+x)^2/(x^2-x+1)/(x+1)^2 revogf] A168596 10.5829 [1/2*ln(2*x+15)-arctanh((26*x+196)^(1/2))-1/2*ln(15)+arctanh(14) revegf] A168596 14.4722 [-(15*x-14)/(2*x-1)/(x-1) ogf] A168596 16.2616 [-(27-56*x+30*x^2)/(x-1)/(2*x-1)/(15*x-14) lgdogf] A168596 7.2361 [-(25*f(x)+379)*(2*f(x)*x^2-3*f(x)*x+f(x)+15*x-14) ogf] A168596 8.09756 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=14,a(1)=27} ogf] A168604 23.0982 [-1/4*(-1-3*x+(1+6*x+x^2)^(1/2))/x revogf] A168604 23.5220 [1/(2*x-1)/(x-1) ogf] A168604 33.1408 [-(-3+4*x)/(2*x-1)/(x-1) lgdogf] A168604 9.46616 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=3} ogf] A168604 9.58302 [(5*f(x)+4)*(2*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A168605 4.91146 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=30} ogf] A168605 5.14168 [-(-145+229*f(x))*(6*f(x)*x^3-11*f(x)*x^2-2*x^3+6*f(x)*x+7*x^2-f(x)-4*x+1) ogf] A168605 8.95978 [2*(1-4*x+10*x^4+7*x^2-12*x^3)/(x-1)/(-1+3*x)/(2*x-1)/(2*x^3-7*x^2+4*x-1) lgdogf] A168605 9.40194 [(2*x^3-7*x^2+4*x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A168606 4.12565 [-(4461*f(x)+2576)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+8*x^3-10*f(x)*x-15*x^2+f(x)+6*x-1) ogf] A168606 6.08471 [-2*(2-20*x+451*x^4-268*x^3+96*x^6-360*x^5+93*x^2)/(x-1)/(4*x-1)/(-1+3*x)/(2*x-1)/(8*x^3-15*x^2+6*x-1) lgdogf] A168606 7.64754 [-(8*x^3-15*x^2+6*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A168607 14.3356 [-(7*x-3)/(3*x-1)/(x-1) ogf] A168607 15.4164 [-1/2*(-3-4*x+(9-4*x+4*x^2)^(1/2))/(7+3*x) revogf] A168607 16.6335 [-(5-18*x+21*x^2)/(x-1)/(3*x-1)/(7*x-3) lgdogf] A168607 7.16781 [-(2*f(x)+19)*(3*f(x)*x^2-4*f(x)*x+f(x)+7*x-3) ogf] A168607 7.86712 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=3,a(1)=5} ogf] A168608 11.8011 [{-a(n+3)+a(n+2),a(0)=4,a(1)=9,a(2)=6} ogf] A168608 13.2172 [(f(x)-4)*(f(x)*x-3*x^2-f(x)+5*x+4) ogf] A168608 22.0287 [(3*x^2-5*x-4)/(x-1) ogf] A168608 29.4751 [3*(3-2*x+x^2)/(x-1)/(3*x^2-5*x-4) lgdogf] A168609 14.0240 [-(13*x-5)/(3*x-1)/(x-1) ogf] A168609 14.3653 [-1/2*(-5-4*x+(25-12*x+4*x^2)^(1/2))/(13+3*x) revogf] A168609 16.2070 [-(7-30*x+39*x^2)/(13*x-5)/(x-1)/(3*x-1) lgdogf] A168609 7.41498 [(2*f(x)-59)*(3*f(x)*x^2-4*f(x)*x+f(x)+13*x-5) ogf] A168609 7.86712 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=5,a(1)=7} ogf] A168610 10.0797 [3*f(x)*x^2-4*f(x)*x+f(x)+16*x-6 ogf] A168610 14.0240 [-2*(8*x-3)/(3*x-1)/(x-1) ogf] A168610 16.2070 [-2*(2-9*x+12*x^2)/(x-1)/(3*x-1)/(8*x-3) lgdogf] A168610 17.5575 [-(-3-2*x+(9-4*x+x^2)^(1/2))/(16+3*x) revogf] A168610 7.86712 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=6,a(1)=8} ogf] A168611 13.8115 [1/2/(-11+3*x)*(-3+4*x+((2*x+9)*(2*x+1))^(1/2)) revogf] A168611 13.9532 [(11*x-3)/(3*x-1)/(x-1) ogf] A168611 15.8832 [-(1-18*x+33*x^2)/(x-1)/(-1+3*x)/(11*x-3) lgdogf] A168611 6.90156 [-(66*f(x)+197)*(3*f(x)*x^2-4*f(x)*x+f(x)-11*x+3) ogf] A168611 7.82739 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=-3,a(1)=-1} ogf] A168613 13.9532 [2*(7*x-2)/(3*x-1)/(x-1) ogf] A168613 15.8832 [-(1-12*x+21*x^2)/(x-1)/(-1+3*x)/(-2+7*x) lgdogf] A168613 17.6480 [(-2+2*x+(4+6*x+x^2)^(1/2))/(-14+3*x) revogf] A168613 7.13161 [-(f(x)+3)*(3*f(x)*x^2-4*f(x)*x+f(x)-14*x+4) ogf] A168613 7.82739 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=-4,a(1)=-2} ogf] A168614 10.4497 [1/2*ln(2*x+11)-arctanh(1/5*(2*x+36)^(1/2))-1/2*ln(11)+arctanh(6/5) revegf] A168614 15.2945 [-(11*x-6)/(2*x-1)/(x-1) ogf] A168614 17.6842 [-(7-24*x+22*x^2)/(x-1)/(2*x-1)/(11*x-6) lgdogf] A168614 8.08672 [(3*f(x)-67)*(2*f(x)*x^2-3*f(x)*x+f(x)+11*x-6) ogf] A168614 8.57982 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=6,a(1)=7} ogf] A168615 12.8767 [(7*x^2+5*x+1)/(3*x^2+3*x+1) ogf] A168615 17.2988 [2*(x+1)*(3*x+1)/(7*x^2+5*x+1)/(3*x^2+3*x+1) lgdogf] A168615 6.69082 [{a(n+3)+3*a(n+2)+3*a(n+1),a(0)=1,a(1)=2,a(2)=-2} ogf] A168615 9.61216 [3*f(x)*x^2+3*f(x)*x-7*x^2+f(x)-5*x-1 ogf] A168616 15.5573 [(9*x-4)/(2*x-1)/(x-1) ogf] A168616 16.9906 [1/2/(-9+2*x)*(-4+3*x+(16+12*x+x^2)^(1/2)) revogf] A168616 18.3319 [-(3-16*x+18*x^2)/(x-1)/(2*x-1)/(9*x-4) lgdogf] A168616 7.77865 [-(7*f(x)+37)*(2*f(x)*x^2-3*f(x)*x+f(x)-9*x+4) ogf] A168616 8.53755 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-4,a(1)=-3} ogf] A168617 11.9937 [x*(3*x-5)/(2*x-1)/(x-1)^2 ogf] A168617 17.2676 [-(17-33*x+12*x^2)/(3*x-5)/(x-1)/(2*x-1) lgdogf] A168617 6.10394 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=5,a(2)=17} ogf] A168617 6.27193 [(17*f(x)+25)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+5*x) ogf] A168624 3.23895 [(108535911*f(x)-85503491)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+910*x^2-f(x)-20*x+1) ogf] A168624 3.57852 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=1,a(1)=91,a(2)=9901} ogf] A168624 5.16044 [-(91-400*x+910000*x^4-40000*x^3-75810*x^2)/(x-1)/(100*x-1)/(10*x-1)/(910*x^2-20*x+1) lgdogf] A168624 6.16300 [-(910*x^2-20*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A168635 4.29184 [-x*(64*x^6+1611*x^5+7197*x^4+8422*x^3+2682*x^2+183*x+1)/(x-1)^9 ogf] A168636 3.62545 [x*(x^8+310*x^7+7780*x^6+44194*x^5+76870*x^4+44194*x^3+7780*x^2+310*x+1)/(x-1)^10 ogf] A168637 12.6051 [-x*(x^2-2*x-1)/(x-1)/(x^3+x^2-1) ogf] A168637 13.9283 [-(3+2*x^5-6*x^4+3*x^2-4*x^3)/(x-1)/(x^2-2*x-1)/(x^3+x^2-1) lgdogf] A168637 6.71581 [-(47*f(x)+146)*(f(x)*x^4-f(x)*x^2+x^3-f(x)*x-2*x^2+f(x)-x) ogf] A168639 11.8531 [-x*(x^3-x^2-1)/(x-1)/(x^4+x-1) ogf] A168639 12.3182 [-(2-4*x^6+2*x^5+2*x^7-6*x^4+8*x^3-5*x^2)/(-1+x)/(x^3-x^2-1)/(x^4+x-1) lgdogf] A168639 6.31586 [-(f(x)+5)*(f(x)*x^5-f(x)*x^4+x^4+f(x)*x^2-x^3-2*f(x)*x+f(x)-x) ogf] A168642 13.1528 [-(2*x+1)^2/(x+1)/(2*x-1) ogf] A168642 22.7788 [-(2*x+5)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A168642 6.76796 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=5,a(2)=11} ogf] A168642 7.11326 [-(8+17*f(x))*(2*f(x)*x^2+f(x)*x+4*x^2-f(x)+4*x+1) ogf] A168648 13.3472 [-(2*x+1)*(3*x+1)/(x+1)/(2*x-1) ogf] A168648 15.0797 [-2*(3+8*x+2*x^2)/(2*x+1)/(2*x-1)/(3*x+1)/(x+1) lgdogf] A168648 6.86798 [{-a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=6,a(2)=14} ogf] A168648 7.44633 [(14+67*f(x))*(2*f(x)*x^2+f(x)*x+6*x^2-f(x)+5*x+1) ogf] A168650 11.6982 [-f(x)*x^2+2*f(x)*x-f(x)+1000 ogf] A168650 20.1470 [1000/(x-1)^2 ogf] A168650 24.5197 [10*x/(50+(2500+10*x)^(1/2))^2 revogf] A168650 55.3367 [[2] ogf_with_Euler_transform] A168650 8.24194 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1000,a(1)=2000} ogf] A168650 88.8837 [-2/(x-1) lgdogf] A168651 11.5011 [-f(x)*x^2+2*f(x)*x-f(x)+10000 ogf] A168651 19.5830 [10000/(x-1)^2 ogf] A168651 30.9059 [x/(50+(2500+x)^(1/2))^2 revogf] A168651 55.2041 [[2] ogf_with_Euler_transform] A168651 8.05080 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10000,a(1)=20000} ogf] A168651 88.8545 [-2/(x-1) lgdogf] A168652 10.2834 [-f(x)*x^2+2*f(x)*x-f(x)+100000 ogf] A168652 17.3194 [100000/(x-1)^2 ogf] A168652 20.1595 [10*x/(500+(250000+10*x)^(1/2))^2 revogf] A168652 50.0165 [[2] ogf_with_Euler_transform] A168652 7.15365 [{-a(n+2)+2*a(n+1)-a(n),a(0)=100000,a(1)=200000} ogf] A168652 80.6380 [-2/(x-1) lgdogf] A168668 14.7251 [-x*(3*x+7)/(x-1)^3 ogf] A168668 37.6265 [-6*(x+4)/(3*x+7)/(x-1) lgdogf] A168668 7.23562 [(72700*f(x)-294117)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+7*x) ogf] A168668 7.49404 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=24} ogf] A168670 14.3114 [(3*x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A168670 15.7211 [-(-23-37*x+4*x^2+12*x^3)/(x-1)/(x+1)/(12*x^2-4*x-19) lgdogf] A168670 7.72562 [(11*f(x)-65)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-7*x-1) ogf] A168670 7.72562 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=12} ogf] A168671 14.5776 [(3*x^2+9*x+1)/(x+1)/(x-1)^2 ogf] A168671 15.6491 [-(-36-44*x+5*x^2+23*x^3)/(x-1)/(x+1)/(23*x^2-9*x-27) lgdogf] A168671 7.60032 [(429*f(x)+15347)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-9*x-1) ogf] A168671 7.80032 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=14} ogf] A168672 14.5390 [(4*x^2+11*x+2)/(x+1)/(x-1)^2 ogf] A168672 15.2819 [-(-53-75*x+24*x^2+36*x^3)/(x-1)/(x+1)/(36*x^2-6*x-47) lgdogf] A168672 7.3286 [-(2737*f(x)-57384)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-11*x-2) ogf] A168672 7.90718 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=13,a(2)=19} ogf] A168673 12.8396 [-(x^2+x+1)/(2*x-1)/(x^2-x+1) ogf] A168673 6.93113 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A168673 6.99302 [(8*f(x)+27)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+x+1) ogf] A168674 15.8438 [-2*x*(x-2)/(x-1)/(x^2+x-1) ogf] A168674 19.6286 [-(3+2*x^3-6*x^2)/(x-2)/(-1+x)/(x^2+x-1) lgdogf] A168674 8.34782 [-(3*f(x)+8)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)-4*x) ogf] A168674 8.34783 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=4,a(2)=6} ogf] A168675 3.53138 [x*(128*x^7+5281*x^6+38454*x^5+78095*x^4+49780*x^3+9327*x^2+374*x+1)/(x-1)^10 ogf] A168677 11.1381 [-(9*x^7+x^6+x^5+x^4+5*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A168681 3.41082 [(4*x^16+x^15+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^15-6*x^9+2*x^8-6*x^7+2*x^6-6*x^5+2*x^4-6*x^3+2*x^2-6*x+2) ogf] A168682 4.11160 [(5*x^16+x^15+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^15-8*x^7+2*x^6-8*x^5+2*x^4-8*x^3+2*x^2-8*x+2) ogf] A168683 4.69555 [(6*x^16+x^15+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^15-10*x^5+2*x^4-10*x^3+2*x^2-10*x+2) ogf] A168684 6.18223 [(7*x^16+x^15+2*x^3+2*x^2+2*x+2)/(x^15-12*x^3+2*x^2-12*x+2) ogf] A168685 5.21578 [-(f(x)-1)*(7*f(x)*x-f(x)+x+1)*(7*f(x)*x+f(x)-15*x-1) ogf] A168685 5.96089 [(8*x^16+x^15+2*x^3+2*x^2+2*x+2)/(x^15-14*x^3+2*x^2-14*x+2) ogf] A168686 5.48326 [-(f(x)-1)*(8*f(x)*x-f(x)+x+1)*(8*f(x)*x+f(x)-17*x-1) ogf] A168686 6.26658 [(9*x^16+x^15+2*x^3+2*x^2+2*x+2)/(x^15-16*x^3+2*x^2-16*x+2) ogf] A168687 8.56964 [(f(x)-1)^2*(9*f(x)*x-f(x)+x+1) ogf] A168687 8.69948 [(10*x^16+x^15+2*x+2)/(x^15-18*x+2) ogf] A168688 7.70766 [-(f(x)-1)*(10*f(x)*x-f(x)+x+1) ogf] A168688 8.40835 [(11*x^16+x^15+2*x+2)/(x^15-20*x+2) ogf] A168689 7.70766 [-(f(x)-1)*(11*f(x)*x-f(x)+x+1) ogf] A168689 8.40835 [(12*x^16+x^15+2*x+2)/(x^15-22*x+2) ogf] A168690 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168690 13.1968 [-(x+1)/(12*x-1) ogf] A168690 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168691 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168691 13.4950 [-(x+1)/(13*x-1) ogf] A168691 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168692 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168692 13.8678 [-(x+1)/(14*x-1) ogf] A168692 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168693 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168693 14.0915 [-(x+1)/(15*x-1) ogf] A168693 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168694 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168694 14.4643 [-(x+1)/(16*x-1) ogf] A168694 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168695 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168695 14.6879 [-(x+1)/(17*x-1) ogf] A168695 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168696 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168696 13.0604 [-(x+1)/(18*x-1) ogf] A168696 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168697 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168697 13.2063 [-(x+1)/(19*x-1) ogf] A168697 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168698 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168698 13.4252 [-(x+1)/(20*x-1) ogf] A168698 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168699 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168699 13.4981 [-(x+1)/(21*x-1) ogf] A168699 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168700 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168700 13.8629 [-(x+1)/(22*x-1) ogf] A168700 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168701 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168701 13.9359 [-(x+1)/(23*x-1) ogf] A168701 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168702 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168702 14.0818 [-(x+1)/(24*x-1) ogf] A168702 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168703 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168703 14.2278 [-(x+1)/(25*x-1) ogf] A168703 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168704 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168704 14.3737 [-(x+1)/(26*x-1) ogf] A168704 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168705 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168705 14.5926 [-(x+1)/(27*x-1) ogf] A168705 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168706 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168706 14.6656 [-(x+1)/(28*x-1) ogf] A168706 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168707 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168707 14.8115 [-(x+1)/(29*x-1) ogf] A168707 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168708 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168708 14.8844 [-(x+1)/(30*x-1) ogf] A168708 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168709 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168709 14.8844 [-(x+1)/(31*x-1) ogf] A168709 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168710 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168710 15.3952 [-(x+1)/(32*x-1) ogf] A168710 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168711 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168711 15.3952 [-(x+1)/(33*x-1) ogf] A168711 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A168712 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A168712 15.3952 [-(x+1)/(34*x-1) ogf] A168712 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A168713 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A168713 15.5411 [-(x+1)/(35*x-1) ogf] A168713 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A168714 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A168714 13.5403 [-(x+1)/(36*x-1) ogf] A168714 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A168715 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A168715 13.5403 [-(x+1)/(37*x-1) ogf] A168715 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A168716 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A168716 13.6828 [-(x+1)/(38*x-1) ogf] A168716 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A168717 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A168717 13.7541 [-(x+1)/(39*x-1) ogf] A168717 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A168718 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A168718 13.8966 [-(x+1)/(40*x-1) ogf] A168718 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A168719 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A168719 13.8966 [-(x+1)/(41*x-1) ogf] A168719 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A168720 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A168720 13.9678 [-(x+1)/(42*x-1) ogf] A168720 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A168721 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A168721 14.0391 [-(x+1)/(43*x-1) ogf] A168721 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A168722 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A168722 14.1816 [-(x+1)/(44*x-1) ogf] A168722 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A168723 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A168723 14.1816 [-(x+1)/(45*x-1) ogf] A168723 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A168724 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A168724 14.1816 [-(x+1)/(46*x-1) ogf] A168724 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A168725 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A168725 14.4667 [-(x+1)/(47*x-1) ogf] A168725 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A168726 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A168726 14.4667 [-(x+1)/(48*x-1) ogf] A168726 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A168727 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A168727 14.4667 [-(x+1)/(49*x-1) ogf] A168727 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A168729 4.09299 [(4*x^17+x^16+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^16-6*x^7+2*x^6-6*x^5+2*x^4-6*x^3+2*x^2-6*x+2) ogf] A168730 5.13950 [(5*x^17+x^16+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^16-8*x^5+2*x^4-8*x^3+2*x^2-8*x+2) ogf] A168731 6.27670 [(6*x^17+x^16+2*x^3+2*x^2+2*x+2)/(x^16-10*x^3+2*x^2-10*x+2) ogf] A168732 6.18223 [(7*x^17+x^16+2*x^3+2*x^2+2*x+2)/(x^16-12*x^3+2*x^2-12*x+2) ogf] A168733 8.71892 [(f(x)-1)^2*(7*f(x)*x-f(x)+x+1) ogf] A168733 8.98718 [(8*x^17+x^16+2*x+2)/(x^16-14*x+2) ogf] A168734 9.16605 [(f(x)-1)^2*(8*f(x)*x-f(x)+x+1) ogf] A168734 9.44808 [(9*x^17+x^16+2*x+2)/(x^16-16*x+2) ogf] A168735 8.08684 [-(f(x)-1)*(9*f(x)*x-f(x)+x+1) ogf] A168735 8.69948 [(10*x^17+x^16+2*x+2)/(x^16-18*x+2) ogf] A168736 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A168736 14.6040 [-(x+1)/(10*x-1) ogf] A168736 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A168737 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A168737 14.6040 [-(x+1)/(11*x-1) ogf] A168737 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A168738 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168738 13.1968 [-(x+1)/(12*x-1) ogf] A168738 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168739 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168739 13.4950 [-(x+1)/(13*x-1) ogf] A168739 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168740 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168740 13.8678 [-(x+1)/(14*x-1) ogf] A168740 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168741 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168741 14.0915 [-(x+1)/(15*x-1) ogf] A168741 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168742 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168742 14.4643 [-(x+1)/(16*x-1) ogf] A168742 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168743 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168743 14.6879 [-(x+1)/(17*x-1) ogf] A168743 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168744 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168744 13.0604 [-(x+1)/(18*x-1) ogf] A168744 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168745 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168745 13.2063 [-(x+1)/(19*x-1) ogf] A168745 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168746 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168746 13.4252 [-(x+1)/(20*x-1) ogf] A168746 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168747 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168747 13.4981 [-(x+1)/(21*x-1) ogf] A168747 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168748 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168748 13.8629 [-(x+1)/(22*x-1) ogf] A168748 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168749 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168749 13.9359 [-(x+1)/(23*x-1) ogf] A168749 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168750 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168750 14.0818 [-(x+1)/(24*x-1) ogf] A168750 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168751 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168751 14.2278 [-(x+1)/(25*x-1) ogf] A168751 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168752 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168752 14.3737 [-(x+1)/(26*x-1) ogf] A168752 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168753 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168753 14.5926 [-(x+1)/(27*x-1) ogf] A168753 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168754 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168754 14.6656 [-(x+1)/(28*x-1) ogf] A168754 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168755 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168755 14.8115 [-(x+1)/(29*x-1) ogf] A168755 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168756 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168756 14.8844 [-(x+1)/(30*x-1) ogf] A168756 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168757 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168757 14.8844 [-(x+1)/(31*x-1) ogf] A168757 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168758 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168758 15.3952 [-(x+1)/(32*x-1) ogf] A168758 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168759 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168759 15.3952 [-(x+1)/(33*x-1) ogf] A168759 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A168760 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A168760 15.3952 [-(x+1)/(34*x-1) ogf] A168760 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A168761 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A168761 15.5411 [-(x+1)/(35*x-1) ogf] A168761 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A168762 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A168762 13.5403 [-(x+1)/(36*x-1) ogf] A168762 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A168763 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A168763 13.5403 [-(x+1)/(37*x-1) ogf] A168763 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A168764 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A168764 13.6828 [-(x+1)/(38*x-1) ogf] A168764 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A168765 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A168765 13.7541 [-(x+1)/(39*x-1) ogf] A168765 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A168766 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A168766 13.8966 [-(x+1)/(40*x-1) ogf] A168766 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A168767 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A168767 13.8966 [-(x+1)/(41*x-1) ogf] A168767 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A168768 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A168768 13.9678 [-(x+1)/(42*x-1) ogf] A168768 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A168769 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A168769 14.0391 [-(x+1)/(43*x-1) ogf] A168769 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A168770 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A168770 14.1816 [-(x+1)/(44*x-1) ogf] A168770 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A168771 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A168771 14.1816 [-(x+1)/(45*x-1) ogf] A168771 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A168772 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A168772 14.1816 [-(x+1)/(46*x-1) ogf] A168772 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A168773 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A168773 14.4667 [-(x+1)/(47*x-1) ogf] A168773 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A168774 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A168774 14.4667 [-(x+1)/(48*x-1) ogf] A168774 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A168775 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A168775 14.4667 [-(x+1)/(49*x-1) ogf] A168775 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A168777 4.09299 [(4*x^18+x^17+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^17-6*x^7+2*x^6-6*x^5+2*x^4-6*x^3+2*x^2-6*x+2) ogf] A168778 5.13950 [(5*x^18+x^17+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^17-8*x^5+2*x^4-8*x^3+2*x^2-8*x+2) ogf] A168779 6.27670 [(6*x^18+x^17+2*x^3+2*x^2+2*x+2)/(x^17-10*x^3+2*x^2-10*x+2) ogf] A168780 9.32091 [(7*x^18+x^17+2*x+2)/(x^17-12*x+2) ogf] A168781 8.22772 [-(f(x)-1)*(7*f(x)*x-f(x)+x+1) ogf] A168781 8.98718 [(8*x^18+x^17+2*x+2)/(x^17-14*x+2) ogf] A168782 8.64965 [-(f(x)-1)*(8*f(x)*x-f(x)+x+1) ogf] A168782 9.44808 [(9*x^18+x^17+2*x+2)/(x^17-16*x+2) ogf] A168783 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A168783 15.5180 [-(x+1)/(9*x-1) ogf] A168783 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A168784 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A168784 14.6040 [-(x+1)/(10*x-1) ogf] A168784 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A168785 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A168785 14.6040 [-(x+1)/(11*x-1) ogf] A168785 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A168786 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168786 13.1968 [-(x+1)/(12*x-1) ogf] A168786 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168787 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168787 13.4950 [-(x+1)/(13*x-1) ogf] A168787 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168788 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168788 13.8678 [-(x+1)/(14*x-1) ogf] A168788 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168789 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168789 14.0915 [-(x+1)/(15*x-1) ogf] A168789 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168790 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168790 14.4643 [-(x+1)/(16*x-1) ogf] A168790 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168791 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168791 14.6879 [-(x+1)/(17*x-1) ogf] A168791 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168792 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168792 13.0604 [-(x+1)/(18*x-1) ogf] A168792 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168793 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168793 13.2063 [-(x+1)/(19*x-1) ogf] A168793 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168794 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168794 13.4252 [-(x+1)/(20*x-1) ogf] A168794 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168795 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168795 13.4981 [-(x+1)/(21*x-1) ogf] A168795 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168796 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168796 13.8629 [-(x+1)/(22*x-1) ogf] A168796 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168797 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168797 13.9359 [-(x+1)/(23*x-1) ogf] A168797 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168798 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168798 14.0818 [-(x+1)/(24*x-1) ogf] A168798 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168799 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168799 14.2278 [-(x+1)/(25*x-1) ogf] A168799 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168800 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168800 14.3737 [-(x+1)/(26*x-1) ogf] A168800 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168801 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168801 14.5926 [-(x+1)/(27*x-1) ogf] A168801 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168802 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168802 14.6656 [-(x+1)/(28*x-1) ogf] A168802 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168803 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168803 14.8115 [-(x+1)/(29*x-1) ogf] A168803 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168804 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168804 14.8844 [-(x+1)/(30*x-1) ogf] A168804 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168805 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168805 14.8844 [-(x+1)/(31*x-1) ogf] A168805 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168806 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168806 15.3952 [-(x+1)/(32*x-1) ogf] A168806 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168807 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168807 15.3952 [-(x+1)/(33*x-1) ogf] A168807 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A168808 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A168808 15.3952 [-(x+1)/(34*x-1) ogf] A168808 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A168809 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A168809 15.5411 [-(x+1)/(35*x-1) ogf] A168809 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A168810 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A168810 13.5403 [-(x+1)/(36*x-1) ogf] A168810 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A168811 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A168811 13.5403 [-(x+1)/(37*x-1) ogf] A168811 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A168812 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A168812 13.6828 [-(x+1)/(38*x-1) ogf] A168812 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A168813 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A168813 13.7541 [-(x+1)/(39*x-1) ogf] A168813 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A168814 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A168814 13.8966 [-(x+1)/(40*x-1) ogf] A168814 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A168815 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A168815 13.8966 [-(x+1)/(41*x-1) ogf] A168815 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A168816 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A168816 13.9678 [-(x+1)/(42*x-1) ogf] A168816 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A168817 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A168817 14.0391 [-(x+1)/(43*x-1) ogf] A168817 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A168818 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A168818 14.1816 [-(x+1)/(44*x-1) ogf] A168818 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A168819 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A168819 14.1816 [-(x+1)/(45*x-1) ogf] A168819 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A168820 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A168820 14.1816 [-(x+1)/(46*x-1) ogf] A168820 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A168821 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A168821 14.4667 [-(x+1)/(47*x-1) ogf] A168821 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A168822 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A168822 14.4667 [-(x+1)/(48*x-1) ogf] A168822 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A168823 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A168823 14.4667 [-(x+1)/(49*x-1) ogf] A168823 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A168825 5.11623 [(4*x^19+x^18+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^18-6*x^5+2*x^4-6*x^3+2*x^2-6*x+2) ogf] A168826 6.85267 [(5*x^19+x^18+2*x^3+2*x^2+2*x+2)/(x^18-8*x^3+2*x^2-8*x+2) ogf] A168827 9.46334 [(6*x^19+x^18+2*x+2)/(x^18-10*x+2) ogf] A168828 9.32091 [(7*x^19+x^18+2*x+2)/(x^18-12*x+2) ogf] A168829 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A168829 15.7883 [-(x+1)/(7*x-1) ogf] A168829 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A168830 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A168830 16.5980 [-(x+1)/(8*x-1) ogf] A168830 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A168831 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A168831 15.5180 [-(x+1)/(9*x-1) ogf] A168831 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A168832 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A168832 14.6040 [-(x+1)/(10*x-1) ogf] A168832 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A168833 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A168833 14.6040 [-(x+1)/(11*x-1) ogf] A168833 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A168834 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168834 13.1968 [-(x+1)/(12*x-1) ogf] A168834 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168835 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168835 13.4950 [-(x+1)/(13*x-1) ogf] A168835 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168836 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168836 13.8678 [-(x+1)/(14*x-1) ogf] A168836 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168837 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168837 14.0915 [-(x+1)/(15*x-1) ogf] A168837 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168838 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168838 14.4643 [-(x+1)/(16*x-1) ogf] A168838 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168839 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168839 14.6879 [-(x+1)/(17*x-1) ogf] A168839 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168840 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168840 13.0604 [-(x+1)/(18*x-1) ogf] A168840 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168841 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168841 13.2063 [-(x+1)/(19*x-1) ogf] A168841 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168842 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168842 13.4252 [-(x+1)/(20*x-1) ogf] A168842 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168843 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168843 13.4981 [-(x+1)/(21*x-1) ogf] A168843 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168844 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168844 13.8629 [-(x+1)/(22*x-1) ogf] A168844 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168845 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168845 13.9359 [-(x+1)/(23*x-1) ogf] A168845 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168846 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168846 14.0818 [-(x+1)/(24*x-1) ogf] A168846 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168847 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168847 14.2278 [-(x+1)/(25*x-1) ogf] A168847 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168848 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168848 14.3737 [-(x+1)/(26*x-1) ogf] A168848 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168849 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168849 14.5926 [-(x+1)/(27*x-1) ogf] A168849 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168850 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168850 14.6656 [-(x+1)/(28*x-1) ogf] A168850 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168851 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168851 14.8115 [-(x+1)/(29*x-1) ogf] A168851 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168852 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168852 14.8844 [-(x+1)/(30*x-1) ogf] A168852 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168853 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168853 14.8844 [-(x+1)/(31*x-1) ogf] A168853 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168854 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168854 15.3952 [-(x+1)/(32*x-1) ogf] A168854 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168855 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168855 15.3952 [-(x+1)/(33*x-1) ogf] A168855 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A168856 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A168856 15.3952 [-(x+1)/(34*x-1) ogf] A168856 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A168857 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A168857 15.5411 [-(x+1)/(35*x-1) ogf] A168857 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A168858 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A168858 13.5403 [-(x+1)/(36*x-1) ogf] A168858 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A168859 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A168859 13.5403 [-(x+1)/(37*x-1) ogf] A168859 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A168860 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A168860 13.6828 [-(x+1)/(38*x-1) ogf] A168860 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A168861 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A168861 13.7541 [-(x+1)/(39*x-1) ogf] A168861 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A168862 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A168862 13.8966 [-(x+1)/(40*x-1) ogf] A168862 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A168863 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A168863 13.8966 [-(x+1)/(41*x-1) ogf] A168863 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A168864 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A168864 13.9678 [-(x+1)/(42*x-1) ogf] A168864 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A168865 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A168865 14.0391 [-(x+1)/(43*x-1) ogf] A168865 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A168866 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A168866 14.1816 [-(x+1)/(44*x-1) ogf] A168866 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A168867 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A168867 14.1816 [-(x+1)/(45*x-1) ogf] A168867 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A168868 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A168868 14.1816 [-(x+1)/(46*x-1) ogf] A168868 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A168869 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A168869 14.4667 [-(x+1)/(47*x-1) ogf] A168869 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A168870 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A168870 14.4667 [-(x+1)/(48*x-1) ogf] A168870 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A168871 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A168871 14.4667 [-(x+1)/(49*x-1) ogf] A168871 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A168873 5.11623 [(4*x^20+x^19+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^19-6*x^5+2*x^4-6*x^3+2*x^2-6*x+2) ogf] A168874 6.85267 [(5*x^20+x^19+2*x^3+2*x^2+2*x+2)/(x^19-8*x^3+2*x^2-8*x+2) ogf] A168875 9.46334 [(6*x^20+x^19+2*x+2)/(x^19-10*x+2) ogf] A168876 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A168876 16.3746 [-(x+1)/(-1+6*x) ogf] A168876 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A168877 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A168877 15.7883 [-(x+1)/(7*x-1) ogf] A168877 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A168878 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A168878 16.5980 [-(x+1)/(8*x-1) ogf] A168878 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A168879 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A168879 15.5180 [-(x+1)/(9*x-1) ogf] A168879 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A168880 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A168880 14.6040 [-(x+1)/(10*x-1) ogf] A168880 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A168881 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A168881 14.6040 [-(x+1)/(11*x-1) ogf] A168881 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A168882 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168882 13.1968 [-(x+1)/(12*x-1) ogf] A168882 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168883 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168883 13.4950 [-(x+1)/(13*x-1) ogf] A168883 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168884 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168884 13.8678 [-(x+1)/(14*x-1) ogf] A168884 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168885 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168885 14.0915 [-(x+1)/(15*x-1) ogf] A168885 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168886 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168886 14.4643 [-(x+1)/(16*x-1) ogf] A168886 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168887 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168887 14.6879 [-(x+1)/(17*x-1) ogf] A168887 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168888 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168888 13.0604 [-(x+1)/(18*x-1) ogf] A168888 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168889 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168889 13.2063 [-(x+1)/(19*x-1) ogf] A168889 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168890 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168890 13.4252 [-(x+1)/(20*x-1) ogf] A168890 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168891 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168891 13.4981 [-(x+1)/(21*x-1) ogf] A168891 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168892 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168892 13.8629 [-(x+1)/(22*x-1) ogf] A168892 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168893 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168893 13.9359 [-(x+1)/(23*x-1) ogf] A168893 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168894 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168894 14.0818 [-(x+1)/(24*x-1) ogf] A168894 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168895 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168895 14.2278 [-(x+1)/(25*x-1) ogf] A168895 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168896 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168896 14.3737 [-(x+1)/(26*x-1) ogf] A168896 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168897 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168897 14.5926 [-(x+1)/(27*x-1) ogf] A168897 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168898 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168898 14.6656 [-(x+1)/(28*x-1) ogf] A168898 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168899 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168899 14.8115 [-(x+1)/(29*x-1) ogf] A168899 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168900 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168900 14.8844 [-(x+1)/(30*x-1) ogf] A168900 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168901 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168901 14.8844 [-(x+1)/(31*x-1) ogf] A168901 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168902 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168902 15.3952 [-(x+1)/(32*x-1) ogf] A168902 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168903 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168903 15.3952 [-(x+1)/(33*x-1) ogf] A168903 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A168904 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A168904 15.3952 [-(x+1)/(34*x-1) ogf] A168904 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A168905 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A168905 15.5411 [-(x+1)/(35*x-1) ogf] A168905 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A168906 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A168906 13.5403 [-(x+1)/(36*x-1) ogf] A168906 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A168907 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A168907 13.5403 [-(x+1)/(37*x-1) ogf] A168907 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A168908 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A168908 13.6828 [-(x+1)/(38*x-1) ogf] A168908 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A168909 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A168909 13.7541 [-(x+1)/(39*x-1) ogf] A168909 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A168910 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A168910 13.8966 [-(x+1)/(40*x-1) ogf] A168910 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A168911 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A168911 13.8966 [-(x+1)/(41*x-1) ogf] A168911 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A168912 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A168912 13.9678 [-(x+1)/(42*x-1) ogf] A168912 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A168913 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A168913 14.0391 [-(x+1)/(43*x-1) ogf] A168913 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A168914 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A168914 14.1816 [-(x+1)/(44*x-1) ogf] A168914 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A168915 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A168915 14.1816 [-(x+1)/(45*x-1) ogf] A168915 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A168916 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A168916 14.1816 [-(x+1)/(46*x-1) ogf] A168916 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A168917 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A168917 14.4667 [-(x+1)/(47*x-1) ogf] A168917 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A168918 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A168918 14.4667 [-(x+1)/(48*x-1) ogf] A168918 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A168919 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A168919 14.4667 [-(x+1)/(49*x-1) ogf] A168919 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A168920 3.71845 [(3*x^21+x^20+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^20-4*x^9+2*x^8-4*x^7+2*x^6-4*x^5+2*x^4-4*x^3+2*x^2-4*x+2) ogf] A168921 6.82165 [(4*x^21+x^20+2*x^3+2*x^2+2*x+2)/(x^20-6*x^3+2*x^2-6*x+2) ogf] A168922 10.2790 [(5*x^21+x^20+2*x+2)/(x^20-8*x+2) ogf] A168923 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A168923 16.6248 [-(x+1)/(5*x-1) ogf] A168923 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A168924 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A168924 16.3746 [-(x+1)/(-1+6*x) ogf] A168924 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A168925 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A168925 15.7883 [-(x+1)/(7*x-1) ogf] A168925 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A168926 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A168926 16.5980 [-(x+1)/(8*x-1) ogf] A168926 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A168927 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A168927 15.5180 [-(x+1)/(9*x-1) ogf] A168927 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A168928 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A168928 14.6040 [-(x+1)/(10*x-1) ogf] A168928 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A168929 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A168929 14.6040 [-(x+1)/(11*x-1) ogf] A168929 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A168930 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168930 13.1968 [-(x+1)/(12*x-1) ogf] A168930 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168931 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168931 13.4950 [-(x+1)/(13*x-1) ogf] A168931 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168932 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168932 13.8678 [-(x+1)/(14*x-1) ogf] A168932 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168933 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168933 14.0915 [-(x+1)/(15*x-1) ogf] A168933 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168934 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168934 14.4643 [-(x+1)/(16*x-1) ogf] A168934 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168935 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168935 14.6879 [-(x+1)/(17*x-1) ogf] A168935 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168936 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168936 13.0604 [-(x+1)/(18*x-1) ogf] A168936 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168937 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168937 13.2063 [-(x+1)/(19*x-1) ogf] A168937 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168938 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168938 13.4252 [-(x+1)/(20*x-1) ogf] A168938 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168939 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168939 13.4981 [-(x+1)/(21*x-1) ogf] A168939 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168940 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168940 13.8629 [-(x+1)/(22*x-1) ogf] A168940 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168941 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168941 13.9359 [-(x+1)/(23*x-1) ogf] A168941 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168942 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168942 14.0818 [-(x+1)/(24*x-1) ogf] A168942 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168943 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168943 14.2278 [-(x+1)/(25*x-1) ogf] A168943 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168944 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168944 14.3737 [-(x+1)/(26*x-1) ogf] A168944 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168945 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168945 14.5926 [-(x+1)/(27*x-1) ogf] A168945 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168946 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168946 14.6656 [-(x+1)/(28*x-1) ogf] A168946 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168947 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168947 14.8115 [-(x+1)/(29*x-1) ogf] A168947 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168948 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168948 14.8844 [-(x+1)/(30*x-1) ogf] A168948 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168949 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168949 14.8844 [-(x+1)/(31*x-1) ogf] A168949 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168950 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168950 15.3952 [-(x+1)/(32*x-1) ogf] A168950 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168951 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168951 15.3952 [-(x+1)/(33*x-1) ogf] A168951 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A168952 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A168952 15.3952 [-(x+1)/(34*x-1) ogf] A168952 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A168953 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A168953 15.5411 [-(x+1)/(35*x-1) ogf] A168953 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A168954 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A168954 13.5403 [-(x+1)/(36*x-1) ogf] A168954 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A168955 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A168955 13.5403 [-(x+1)/(37*x-1) ogf] A168955 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A168956 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A168956 13.6828 [-(x+1)/(38*x-1) ogf] A168956 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A168957 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A168957 13.7541 [-(x+1)/(39*x-1) ogf] A168957 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A168958 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A168958 13.8966 [-(x+1)/(40*x-1) ogf] A168958 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A168959 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A168959 13.8966 [-(x+1)/(41*x-1) ogf] A168959 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A168960 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A168960 13.9678 [-(x+1)/(42*x-1) ogf] A168960 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A168961 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A168961 14.0391 [-(x+1)/(43*x-1) ogf] A168961 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A168962 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A168962 14.1816 [-(x+1)/(44*x-1) ogf] A168962 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A168963 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A168963 14.1816 [-(x+1)/(45*x-1) ogf] A168963 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A168964 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A168964 14.1816 [-(x+1)/(46*x-1) ogf] A168964 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A168965 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A168965 14.4667 [-(x+1)/(47*x-1) ogf] A168965 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A168966 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A168966 14.4667 [-(x+1)/(48*x-1) ogf] A168966 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A168967 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A168967 14.4667 [-(x+1)/(49*x-1) ogf] A168967 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A168968 3.71845 [(3*x^22+x^21+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^21-4*x^9+2*x^8-4*x^7+2*x^6-4*x^5+2*x^4-4*x^3+2*x^2-4*x+2) ogf] A168969 6.82165 [(4*x^22+x^21+2*x^3+2*x^2+2*x+2)/(x^21-6*x^3+2*x^2-6*x+2) ogf] A168970 10.2790 [(5*x^22+x^21+2*x+2)/(x^21-8*x+2) ogf] A168971 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A168971 16.6248 [-(x+1)/(5*x-1) ogf] A168971 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A168972 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A168972 16.3746 [-(x+1)/(-1+6*x) ogf] A168972 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A168973 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A168973 15.7883 [-(x+1)/(7*x-1) ogf] A168973 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A168974 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A168974 16.5980 [-(x+1)/(8*x-1) ogf] A168974 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A168975 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A168975 15.5180 [-(x+1)/(9*x-1) ogf] A168975 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A168976 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A168976 14.6040 [-(x+1)/(10*x-1) ogf] A168976 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A168977 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A168977 14.6040 [-(x+1)/(11*x-1) ogf] A168977 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A168978 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A168978 13.1968 [-(x+1)/(12*x-1) ogf] A168978 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A168979 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A168979 13.4950 [-(x+1)/(13*x-1) ogf] A168979 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A168980 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A168980 13.8678 [-(x+1)/(14*x-1) ogf] A168980 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A168981 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A168981 14.0915 [-(x+1)/(15*x-1) ogf] A168981 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A168982 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A168982 14.4643 [-(x+1)/(16*x-1) ogf] A168982 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A168983 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A168983 14.6879 [-(x+1)/(17*x-1) ogf] A168983 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A168984 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A168984 13.0604 [-(x+1)/(18*x-1) ogf] A168984 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A168985 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A168985 13.2063 [-(x+1)/(19*x-1) ogf] A168985 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A168986 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A168986 13.4252 [-(x+1)/(20*x-1) ogf] A168986 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A168987 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A168987 13.4981 [-(x+1)/(21*x-1) ogf] A168987 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A168988 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A168988 13.8629 [-(x+1)/(22*x-1) ogf] A168988 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A168989 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A168989 13.9359 [-(x+1)/(23*x-1) ogf] A168989 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A168990 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A168990 14.0818 [-(x+1)/(24*x-1) ogf] A168990 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A168991 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A168991 14.2278 [-(x+1)/(25*x-1) ogf] A168991 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A168992 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A168992 14.3737 [-(x+1)/(26*x-1) ogf] A168992 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A168993 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A168993 14.5926 [-(x+1)/(27*x-1) ogf] A168993 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A168994 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A168994 14.6656 [-(x+1)/(28*x-1) ogf] A168994 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A168995 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A168995 14.8115 [-(x+1)/(29*x-1) ogf] A168995 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A168996 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A168996 14.8844 [-(x+1)/(30*x-1) ogf] A168996 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A168997 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A168997 14.8844 [-(x+1)/(31*x-1) ogf] A168997 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A168998 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A168998 15.3952 [-(x+1)/(32*x-1) ogf] A168998 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A168999 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A168999 15.3952 [-(x+1)/(33*x-1) ogf] A168999 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169000 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169000 15.3952 [-(x+1)/(34*x-1) ogf] A169000 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169001 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169001 15.5411 [-(x+1)/(35*x-1) ogf] A169001 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169002 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169002 13.5403 [-(x+1)/(36*x-1) ogf] A169002 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169003 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169003 13.5403 [-(x+1)/(37*x-1) ogf] A169003 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169004 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169004 13.6828 [-(x+1)/(38*x-1) ogf] A169004 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169005 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169005 13.7541 [-(x+1)/(39*x-1) ogf] A169005 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169006 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169006 13.8966 [-(x+1)/(40*x-1) ogf] A169006 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169007 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169007 13.8966 [-(x+1)/(41*x-1) ogf] A169007 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169008 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169008 13.9678 [-(x+1)/(42*x-1) ogf] A169008 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169009 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169009 14.0391 [-(x+1)/(43*x-1) ogf] A169009 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169010 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169010 14.1816 [-(x+1)/(44*x-1) ogf] A169010 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169011 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169011 14.1816 [-(x+1)/(45*x-1) ogf] A169011 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169012 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169012 14.1816 [-(x+1)/(46*x-1) ogf] A169012 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169013 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169013 14.4667 [-(x+1)/(47*x-1) ogf] A169013 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169014 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169014 14.4667 [-(x+1)/(48*x-1) ogf] A169014 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169015 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169015 14.4667 [-(x+1)/(49*x-1) ogf] A169015 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169016 4.46214 [(3*x^23+x^22+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^22-4*x^7+2*x^6-4*x^5+2*x^4-4*x^3+2*x^2-4*x+2) ogf] A169017 10.2325 [(4*x^23+x^22+2*x+2)/(x^22-6*x+2) ogf] A169018 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169018 17.7799 [-(x+1)/(4*x-1) ogf] A169018 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169019 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169019 16.6248 [-(x+1)/(5*x-1) ogf] A169019 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169020 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169020 16.3746 [-(x+1)/(-1+6*x) ogf] A169020 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169021 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169021 15.7883 [-(x+1)/(7*x-1) ogf] A169021 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169022 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169022 16.5980 [-(x+1)/(8*x-1) ogf] A169022 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169023 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169023 15.5180 [-(x+1)/(9*x-1) ogf] A169023 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169024 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169024 14.6040 [-(x+1)/(10*x-1) ogf] A169024 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169025 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169025 14.6040 [-(x+1)/(11*x-1) ogf] A169025 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169026 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169026 13.1968 [-(x+1)/(12*x-1) ogf] A169026 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169027 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169027 13.4950 [-(x+1)/(13*x-1) ogf] A169027 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169028 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169028 13.8678 [-(x+1)/(14*x-1) ogf] A169028 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169029 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169029 14.0915 [-(x+1)/(15*x-1) ogf] A169029 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169030 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169030 14.4643 [-(x+1)/(16*x-1) ogf] A169030 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169031 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169031 14.6879 [-(x+1)/(17*x-1) ogf] A169031 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169032 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169032 13.0604 [-(x+1)/(18*x-1) ogf] A169032 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169033 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169033 13.2063 [-(x+1)/(19*x-1) ogf] A169033 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169034 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169034 13.4252 [-(x+1)/(20*x-1) ogf] A169034 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169035 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169035 13.4981 [-(x+1)/(21*x-1) ogf] A169035 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169036 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169036 13.8629 [-(x+1)/(22*x-1) ogf] A169036 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169037 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169037 13.9359 [-(x+1)/(23*x-1) ogf] A169037 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169038 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169038 14.0818 [-(x+1)/(24*x-1) ogf] A169038 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169039 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169039 14.2278 [-(x+1)/(25*x-1) ogf] A169039 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169040 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169040 14.3737 [-(x+1)/(26*x-1) ogf] A169040 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169041 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169041 14.5926 [-(x+1)/(27*x-1) ogf] A169041 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169042 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169042 14.6656 [-(x+1)/(28*x-1) ogf] A169042 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169043 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169043 14.8115 [-(x+1)/(29*x-1) ogf] A169043 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169044 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169044 14.8844 [-(x+1)/(30*x-1) ogf] A169044 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169045 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169045 14.8844 [-(x+1)/(31*x-1) ogf] A169045 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169046 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169046 15.3952 [-(x+1)/(32*x-1) ogf] A169046 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169047 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169047 15.3952 [-(x+1)/(33*x-1) ogf] A169047 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169048 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169048 15.3952 [-(x+1)/(34*x-1) ogf] A169048 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169049 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169049 15.5411 [-(x+1)/(35*x-1) ogf] A169049 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169050 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169050 13.5403 [-(x+1)/(36*x-1) ogf] A169050 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169051 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169051 13.5403 [-(x+1)/(37*x-1) ogf] A169051 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169052 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169052 13.6828 [-(x+1)/(38*x-1) ogf] A169052 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169053 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169053 13.7541 [-(x+1)/(39*x-1) ogf] A169053 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169054 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169054 13.8966 [-(x+1)/(40*x-1) ogf] A169054 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169055 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169055 13.8966 [-(x+1)/(41*x-1) ogf] A169055 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169056 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169056 13.9678 [-(x+1)/(42*x-1) ogf] A169056 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169057 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169057 14.0391 [-(x+1)/(43*x-1) ogf] A169057 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169058 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169058 14.1816 [-(x+1)/(44*x-1) ogf] A169058 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169059 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169059 14.1816 [-(x+1)/(45*x-1) ogf] A169059 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169060 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169060 14.1816 [-(x+1)/(46*x-1) ogf] A169060 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169061 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169061 14.4667 [-(x+1)/(47*x-1) ogf] A169061 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169062 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169062 14.4667 [-(x+1)/(48*x-1) ogf] A169062 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169063 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169063 14.4667 [-(x+1)/(49*x-1) ogf] A169063 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169064 4.46214 [(3*x^24+x^23+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^23-4*x^7+2*x^6-4*x^5+2*x^4-4*x^3+2*x^2-4*x+2) ogf] A169065 10.2325 [(4*x^24+x^23+2*x+2)/(x^23-6*x+2) ogf] A169066 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169066 17.7799 [-(x+1)/(4*x-1) ogf] A169066 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169067 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169067 16.6248 [-(x+1)/(5*x-1) ogf] A169067 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169068 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169068 16.3746 [-(x+1)/(-1+6*x) ogf] A169068 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169069 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169069 15.7883 [-(x+1)/(7*x-1) ogf] A169069 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169070 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169070 16.5980 [-(x+1)/(8*x-1) ogf] A169070 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169071 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169071 15.5180 [-(x+1)/(9*x-1) ogf] A169071 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169072 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169072 14.6040 [-(x+1)/(10*x-1) ogf] A169072 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169073 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169073 14.6040 [-(x+1)/(11*x-1) ogf] A169073 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169074 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169074 13.1968 [-(x+1)/(12*x-1) ogf] A169074 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169075 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169075 13.4950 [-(x+1)/(13*x-1) ogf] A169075 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169076 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169076 13.8678 [-(x+1)/(14*x-1) ogf] A169076 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169077 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169077 14.0915 [-(x+1)/(15*x-1) ogf] A169077 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169078 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169078 14.4643 [-(x+1)/(16*x-1) ogf] A169078 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169079 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169079 14.6879 [-(x+1)/(17*x-1) ogf] A169079 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169080 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169080 13.0604 [-(x+1)/(18*x-1) ogf] A169080 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169081 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169081 13.2063 [-(x+1)/(19*x-1) ogf] A169081 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169082 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169082 13.4252 [-(x+1)/(20*x-1) ogf] A169082 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169083 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169083 13.4981 [-(x+1)/(21*x-1) ogf] A169083 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169084 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169084 13.8629 [-(x+1)/(22*x-1) ogf] A169084 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169085 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169085 13.9359 [-(x+1)/(23*x-1) ogf] A169085 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169086 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169086 14.0818 [-(x+1)/(24*x-1) ogf] A169086 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169087 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169087 14.2278 [-(x+1)/(25*x-1) ogf] A169087 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169088 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169088 14.3737 [-(x+1)/(26*x-1) ogf] A169088 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169089 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169089 14.5926 [-(x+1)/(27*x-1) ogf] A169089 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169090 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169090 14.6656 [-(x+1)/(28*x-1) ogf] A169090 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169091 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169091 14.8115 [-(x+1)/(29*x-1) ogf] A169091 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169092 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169092 14.8844 [-(x+1)/(30*x-1) ogf] A169092 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169093 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169093 14.8844 [-(x+1)/(31*x-1) ogf] A169093 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169094 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169094 15.3952 [-(x+1)/(32*x-1) ogf] A169094 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169095 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169095 15.3952 [-(x+1)/(33*x-1) ogf] A169095 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169096 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169096 15.3952 [-(x+1)/(34*x-1) ogf] A169096 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169097 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169097 15.5411 [-(x+1)/(35*x-1) ogf] A169097 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169098 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169098 13.5403 [-(x+1)/(36*x-1) ogf] A169098 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169099 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169099 13.5403 [-(x+1)/(37*x-1) ogf] A169099 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169100 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169100 13.6828 [-(x+1)/(38*x-1) ogf] A169100 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169101 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169101 13.7541 [-(x+1)/(39*x-1) ogf] A169101 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169102 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169102 13.8966 [-(x+1)/(40*x-1) ogf] A169102 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169103 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169103 13.8966 [-(x+1)/(41*x-1) ogf] A169103 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169104 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169104 13.9678 [-(x+1)/(42*x-1) ogf] A169104 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169105 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169105 14.0391 [-(x+1)/(43*x-1) ogf] A169105 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169106 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169106 14.1816 [-(x+1)/(44*x-1) ogf] A169106 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169107 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169107 14.1816 [-(x+1)/(45*x-1) ogf] A169107 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169108 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169108 14.1816 [-(x+1)/(46*x-1) ogf] A169108 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169109 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169109 14.4667 [-(x+1)/(47*x-1) ogf] A169109 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169110 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169110 14.4667 [-(x+1)/(48*x-1) ogf] A169110 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169111 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169111 14.4667 [-(x+1)/(49*x-1) ogf] A169111 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169112 5.57767 [(3*x^25+x^24+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^24-4*x^5+2*x^4-4*x^3+2*x^2-4*x+2) ogf] A169113 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169113 17.6994 [-(x+1)/(3*x-1) ogf] A169113 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169114 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169114 17.7799 [-(x+1)/(4*x-1) ogf] A169114 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169115 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169115 16.6248 [-(x+1)/(5*x-1) ogf] A169115 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169116 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169116 16.3746 [-(x+1)/(-1+6*x) ogf] A169116 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169117 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169117 15.7883 [-(x+1)/(7*x-1) ogf] A169117 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169118 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169118 16.5980 [-(x+1)/(8*x-1) ogf] A169118 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169119 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169119 15.5180 [-(x+1)/(9*x-1) ogf] A169119 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169120 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169120 14.6040 [-(x+1)/(10*x-1) ogf] A169120 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169121 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169121 14.6040 [-(x+1)/(11*x-1) ogf] A169121 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169122 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169122 13.1968 [-(x+1)/(12*x-1) ogf] A169122 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169123 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169123 13.4950 [-(x+1)/(13*x-1) ogf] A169123 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169124 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169124 13.8678 [-(x+1)/(14*x-1) ogf] A169124 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169125 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169125 14.0915 [-(x+1)/(15*x-1) ogf] A169125 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169126 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169126 14.4643 [-(x+1)/(16*x-1) ogf] A169126 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169127 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169127 14.6879 [-(x+1)/(17*x-1) ogf] A169127 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169128 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169128 13.0604 [-(x+1)/(18*x-1) ogf] A169128 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169129 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169129 13.2063 [-(x+1)/(19*x-1) ogf] A169129 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169130 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169130 13.4252 [-(x+1)/(20*x-1) ogf] A169130 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169131 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169131 13.4981 [-(x+1)/(21*x-1) ogf] A169131 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169132 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169132 13.8629 [-(x+1)/(22*x-1) ogf] A169132 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169133 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169133 13.9359 [-(x+1)/(23*x-1) ogf] A169133 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169134 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169134 14.0818 [-(x+1)/(24*x-1) ogf] A169134 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169135 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169135 14.2278 [-(x+1)/(25*x-1) ogf] A169135 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169136 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169136 14.3737 [-(x+1)/(26*x-1) ogf] A169136 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169137 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169137 14.5926 [-(x+1)/(27*x-1) ogf] A169137 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169138 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169138 14.6656 [-(x+1)/(28*x-1) ogf] A169138 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169139 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169139 14.8115 [-(x+1)/(29*x-1) ogf] A169139 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169140 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169140 14.8844 [-(x+1)/(30*x-1) ogf] A169140 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169141 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169141 14.8844 [-(x+1)/(31*x-1) ogf] A169141 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169142 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169142 15.3952 [-(x+1)/(32*x-1) ogf] A169142 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169143 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169143 15.3952 [-(x+1)/(33*x-1) ogf] A169143 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169144 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169144 15.3952 [-(x+1)/(34*x-1) ogf] A169144 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169145 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169145 15.5411 [-(x+1)/(35*x-1) ogf] A169145 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169146 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169146 13.5403 [-(x+1)/(36*x-1) ogf] A169146 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169147 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169147 13.5403 [-(x+1)/(37*x-1) ogf] A169147 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169148 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169148 13.6828 [-(x+1)/(38*x-1) ogf] A169148 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169149 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169149 13.7541 [-(x+1)/(39*x-1) ogf] A169149 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169150 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169150 13.8966 [-(x+1)/(40*x-1) ogf] A169150 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169151 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169151 13.8966 [-(x+1)/(41*x-1) ogf] A169151 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169152 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169152 13.9678 [-(x+1)/(42*x-1) ogf] A169152 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169153 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169153 14.0391 [-(x+1)/(43*x-1) ogf] A169153 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169154 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169154 14.1816 [-(x+1)/(44*x-1) ogf] A169154 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169155 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169155 14.1816 [-(x+1)/(45*x-1) ogf] A169155 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169156 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169156 14.1816 [-(x+1)/(46*x-1) ogf] A169156 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169157 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169157 14.4667 [-(x+1)/(47*x-1) ogf] A169157 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169158 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169158 14.4667 [-(x+1)/(48*x-1) ogf] A169158 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169159 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169159 14.4667 [-(x+1)/(49*x-1) ogf] A169159 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169160 5.57767 [(3*x^26+x^25+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x^25-4*x^5+2*x^4-4*x^3+2*x^2-4*x+2) ogf] A169161 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169161 17.6994 [-(x+1)/(3*x-1) ogf] A169161 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169162 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169162 17.7799 [-(x+1)/(4*x-1) ogf] A169162 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169163 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169163 16.6248 [-(x+1)/(5*x-1) ogf] A169163 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169164 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169164 16.3746 [-(x+1)/(-1+6*x) ogf] A169164 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169165 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169165 15.7883 [-(x+1)/(7*x-1) ogf] A169165 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169166 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169166 16.5980 [-(x+1)/(8*x-1) ogf] A169166 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169167 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169167 15.5180 [-(x+1)/(9*x-1) ogf] A169167 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169168 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169168 14.6040 [-(x+1)/(10*x-1) ogf] A169168 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169169 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169169 14.6040 [-(x+1)/(11*x-1) ogf] A169169 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169170 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169170 13.1968 [-(x+1)/(12*x-1) ogf] A169170 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169171 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169171 13.4950 [-(x+1)/(13*x-1) ogf] A169171 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169172 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169172 13.8678 [-(x+1)/(14*x-1) ogf] A169172 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169173 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169173 14.0915 [-(x+1)/(15*x-1) ogf] A169173 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169174 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169174 14.4643 [-(x+1)/(16*x-1) ogf] A169174 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169175 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169175 14.6879 [-(x+1)/(17*x-1) ogf] A169175 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169176 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169176 13.0604 [-(x+1)/(18*x-1) ogf] A169176 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169177 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169177 13.2063 [-(x+1)/(19*x-1) ogf] A169177 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169178 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169178 13.4252 [-(x+1)/(20*x-1) ogf] A169178 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169179 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169179 13.4981 [-(x+1)/(21*x-1) ogf] A169179 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169180 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169180 13.8629 [-(x+1)/(22*x-1) ogf] A169180 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169181 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169181 13.9359 [-(x+1)/(23*x-1) ogf] A169181 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169182 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169182 14.0818 [-(x+1)/(24*x-1) ogf] A169182 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169183 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169183 14.2278 [-(x+1)/(25*x-1) ogf] A169183 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169184 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169184 14.3737 [-(x+1)/(26*x-1) ogf] A169184 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169185 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169185 14.5926 [-(x+1)/(27*x-1) ogf] A169185 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169186 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169186 14.6656 [-(x+1)/(28*x-1) ogf] A169186 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169187 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169187 14.8115 [-(x+1)/(29*x-1) ogf] A169187 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169188 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169188 14.8844 [-(x+1)/(30*x-1) ogf] A169188 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169189 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169189 14.8844 [-(x+1)/(31*x-1) ogf] A169189 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169190 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169190 15.3952 [-(x+1)/(32*x-1) ogf] A169190 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169191 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169191 15.3952 [-(x+1)/(33*x-1) ogf] A169191 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169192 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169192 15.3952 [-(x+1)/(34*x-1) ogf] A169192 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169193 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169193 15.5411 [-(x+1)/(35*x-1) ogf] A169193 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169194 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169194 13.5403 [-(x+1)/(36*x-1) ogf] A169194 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169195 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169195 13.5403 [-(x+1)/(37*x-1) ogf] A169195 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169196 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169196 13.6828 [-(x+1)/(38*x-1) ogf] A169196 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169197 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169197 13.7541 [-(x+1)/(39*x-1) ogf] A169197 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169198 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169198 13.8966 [-(x+1)/(40*x-1) ogf] A169198 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169199 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169199 13.8966 [-(x+1)/(41*x-1) ogf] A169199 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169200 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169200 13.9678 [-(x+1)/(42*x-1) ogf] A169200 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169201 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169201 14.0391 [-(x+1)/(43*x-1) ogf] A169201 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169202 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169202 14.1816 [-(x+1)/(44*x-1) ogf] A169202 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169203 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169203 14.1816 [-(x+1)/(45*x-1) ogf] A169203 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169204 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169204 14.1816 [-(x+1)/(46*x-1) ogf] A169204 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169205 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169205 14.4667 [-(x+1)/(47*x-1) ogf] A169205 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169206 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169206 14.4667 [-(x+1)/(48*x-1) ogf] A169206 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169207 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169207 14.4667 [-(x+1)/(49*x-1) ogf] A169207 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169208 7.43690 [(3*x^27+x^26+2*x^3+2*x^2+2*x+2)/(x^26-4*x^3+2*x^2-4*x+2) ogf] A169209 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169209 17.6994 [-(x+1)/(3*x-1) ogf] A169209 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169210 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169210 17.7799 [-(x+1)/(4*x-1) ogf] A169210 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169211 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169211 16.6248 [-(x+1)/(5*x-1) ogf] A169211 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169212 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169212 16.3746 [-(x+1)/(-1+6*x) ogf] A169212 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169213 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169213 15.7883 [-(x+1)/(7*x-1) ogf] A169213 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169214 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169214 16.5980 [-(x+1)/(8*x-1) ogf] A169214 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169215 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169215 15.5180 [-(x+1)/(9*x-1) ogf] A169215 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169216 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169216 14.6040 [-(x+1)/(10*x-1) ogf] A169216 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169217 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169217 14.6040 [-(x+1)/(11*x-1) ogf] A169217 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169218 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169218 13.1968 [-(x+1)/(12*x-1) ogf] A169218 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169219 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169219 13.4950 [-(x+1)/(13*x-1) ogf] A169219 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169220 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169220 13.8678 [-(x+1)/(14*x-1) ogf] A169220 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169221 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169221 14.0915 [-(x+1)/(15*x-1) ogf] A169221 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169222 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169222 14.4643 [-(x+1)/(16*x-1) ogf] A169222 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169223 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169223 14.6879 [-(x+1)/(17*x-1) ogf] A169223 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169224 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169224 13.0604 [-(x+1)/(18*x-1) ogf] A169224 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169225 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169225 13.2063 [-(x+1)/(19*x-1) ogf] A169225 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169226 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169226 13.4252 [-(x+1)/(20*x-1) ogf] A169226 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169227 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169227 13.4981 [-(x+1)/(21*x-1) ogf] A169227 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169228 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169228 13.8629 [-(x+1)/(22*x-1) ogf] A169228 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169229 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169229 13.9359 [-(x+1)/(23*x-1) ogf] A169229 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169230 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169230 14.0818 [-(x+1)/(24*x-1) ogf] A169230 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169231 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169231 14.2278 [-(x+1)/(25*x-1) ogf] A169231 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169232 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169232 14.3737 [-(x+1)/(26*x-1) ogf] A169232 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169233 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169233 14.5926 [-(x+1)/(27*x-1) ogf] A169233 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169234 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169234 14.6656 [-(x+1)/(28*x-1) ogf] A169234 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169235 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169235 14.8115 [-(x+1)/(29*x-1) ogf] A169235 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169236 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169236 14.8844 [-(x+1)/(30*x-1) ogf] A169236 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169237 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169237 14.8844 [-(x+1)/(31*x-1) ogf] A169237 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169238 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169238 15.3952 [-(x+1)/(32*x-1) ogf] A169238 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169239 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169239 15.3952 [-(x+1)/(33*x-1) ogf] A169239 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169240 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169240 15.3952 [-(x+1)/(34*x-1) ogf] A169240 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169241 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169241 15.5411 [-(x+1)/(35*x-1) ogf] A169241 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169242 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169242 13.5403 [-(x+1)/(36*x-1) ogf] A169242 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169243 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169243 13.5403 [-(x+1)/(37*x-1) ogf] A169243 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169244 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169244 13.6828 [-(x+1)/(38*x-1) ogf] A169244 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169245 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169245 13.7541 [-(x+1)/(39*x-1) ogf] A169245 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169246 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169246 13.8966 [-(x+1)/(40*x-1) ogf] A169246 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169247 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169247 13.8966 [-(x+1)/(41*x-1) ogf] A169247 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169248 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169248 13.9678 [-(x+1)/(42*x-1) ogf] A169248 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169249 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169249 14.0391 [-(x+1)/(43*x-1) ogf] A169249 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169250 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169250 14.1816 [-(x+1)/(44*x-1) ogf] A169250 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169251 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169251 14.1816 [-(x+1)/(45*x-1) ogf] A169251 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169252 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169252 14.1816 [-(x+1)/(46*x-1) ogf] A169252 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169253 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169253 14.4667 [-(x+1)/(47*x-1) ogf] A169253 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169254 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169254 14.4667 [-(x+1)/(48*x-1) ogf] A169254 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169255 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169255 14.4667 [-(x+1)/(49*x-1) ogf] A169255 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169256 7.43690 [(3*x^28+x^27+2*x^3+2*x^2+2*x+2)/(x^27-4*x^3+2*x^2-4*x+2) ogf] A169257 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169257 17.6994 [-(x+1)/(3*x-1) ogf] A169257 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169258 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169258 17.7799 [-(x+1)/(4*x-1) ogf] A169258 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169259 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169259 16.6248 [-(x+1)/(5*x-1) ogf] A169259 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169260 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169260 16.3746 [-(x+1)/(-1+6*x) ogf] A169260 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169261 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169261 15.7883 [-(x+1)/(7*x-1) ogf] A169261 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169262 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169262 16.5980 [-(x+1)/(8*x-1) ogf] A169262 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169263 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169263 15.5180 [-(x+1)/(9*x-1) ogf] A169263 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169264 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169264 14.6040 [-(x+1)/(10*x-1) ogf] A169264 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169265 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169265 14.6040 [-(x+1)/(11*x-1) ogf] A169265 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169266 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169266 13.1968 [-(x+1)/(12*x-1) ogf] A169266 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169267 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169267 13.4950 [-(x+1)/(13*x-1) ogf] A169267 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169268 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169268 13.8678 [-(x+1)/(14*x-1) ogf] A169268 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169269 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169269 14.0915 [-(x+1)/(15*x-1) ogf] A169269 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169270 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169270 14.4643 [-(x+1)/(16*x-1) ogf] A169270 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169271 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169271 14.6879 [-(x+1)/(17*x-1) ogf] A169271 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169272 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169272 13.0604 [-(x+1)/(18*x-1) ogf] A169272 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169273 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169273 13.2063 [-(x+1)/(19*x-1) ogf] A169273 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169274 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169274 13.4252 [-(x+1)/(20*x-1) ogf] A169274 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169275 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169275 13.4981 [-(x+1)/(21*x-1) ogf] A169275 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169276 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169276 13.8629 [-(x+1)/(22*x-1) ogf] A169276 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169277 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169277 13.9359 [-(x+1)/(23*x-1) ogf] A169277 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169278 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169278 14.0818 [-(x+1)/(24*x-1) ogf] A169278 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169279 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169279 14.2278 [-(x+1)/(25*x-1) ogf] A169279 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169280 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169280 14.3737 [-(x+1)/(26*x-1) ogf] A169280 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169281 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169281 14.5926 [-(x+1)/(27*x-1) ogf] A169281 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169282 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169282 14.6656 [-(x+1)/(28*x-1) ogf] A169282 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169283 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169283 14.8115 [-(x+1)/(29*x-1) ogf] A169283 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169284 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169284 14.8844 [-(x+1)/(30*x-1) ogf] A169284 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169285 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169285 14.8844 [-(x+1)/(31*x-1) ogf] A169285 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169286 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169286 15.3952 [-(x+1)/(32*x-1) ogf] A169286 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169287 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169287 15.3952 [-(x+1)/(33*x-1) ogf] A169287 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169288 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169288 15.3952 [-(x+1)/(34*x-1) ogf] A169288 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169289 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169289 15.5411 [-(x+1)/(35*x-1) ogf] A169289 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169290 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169290 13.5403 [-(x+1)/(36*x-1) ogf] A169290 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169291 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169291 13.5403 [-(x+1)/(37*x-1) ogf] A169291 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169292 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169292 13.6828 [-(x+1)/(38*x-1) ogf] A169292 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169293 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169293 13.7541 [-(x+1)/(39*x-1) ogf] A169293 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169294 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169294 13.8966 [-(x+1)/(40*x-1) ogf] A169294 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169295 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169295 13.8966 [-(x+1)/(41*x-1) ogf] A169295 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169296 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169296 13.9678 [-(x+1)/(42*x-1) ogf] A169296 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169297 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169297 14.0391 [-(x+1)/(43*x-1) ogf] A169297 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169298 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169298 14.1816 [-(x+1)/(44*x-1) ogf] A169298 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169299 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169299 14.1816 [-(x+1)/(45*x-1) ogf] A169299 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169300 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169300 14.1816 [-(x+1)/(46*x-1) ogf] A169300 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169301 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169301 14.4667 [-(x+1)/(47*x-1) ogf] A169301 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169302 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169302 14.4667 [-(x+1)/(48*x-1) ogf] A169302 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169303 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169303 14.4667 [-(x+1)/(49*x-1) ogf] A169303 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169304 11.1553 [(3*x^29+x^28+2*x+2)/(x^28-4*x+2) ogf] A169305 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169305 17.6994 [-(x+1)/(3*x-1) ogf] A169305 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169306 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169306 17.7799 [-(x+1)/(4*x-1) ogf] A169306 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169307 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169307 16.6248 [-(x+1)/(5*x-1) ogf] A169307 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169308 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169308 16.3746 [-(x+1)/(-1+6*x) ogf] A169308 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169309 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169309 15.7883 [-(x+1)/(7*x-1) ogf] A169309 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169310 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169310 16.5980 [-(x+1)/(8*x-1) ogf] A169310 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169311 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169311 15.5180 [-(x+1)/(9*x-1) ogf] A169311 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169312 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169312 14.6040 [-(x+1)/(10*x-1) ogf] A169312 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169313 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169313 14.6040 [-(x+1)/(11*x-1) ogf] A169313 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169314 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169314 13.1968 [-(x+1)/(12*x-1) ogf] A169314 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169315 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169315 13.4950 [-(x+1)/(13*x-1) ogf] A169315 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169316 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169316 13.8678 [-(x+1)/(14*x-1) ogf] A169316 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169317 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169317 14.0915 [-(x+1)/(15*x-1) ogf] A169317 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169318 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169318 14.4643 [-(x+1)/(16*x-1) ogf] A169318 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169319 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169319 14.6879 [-(x+1)/(17*x-1) ogf] A169319 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169320 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169320 13.0604 [-(x+1)/(18*x-1) ogf] A169320 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169321 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169321 13.2063 [-(x+1)/(19*x-1) ogf] A169321 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169322 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169322 13.4252 [-(x+1)/(20*x-1) ogf] A169322 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169323 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169323 13.4981 [-(x+1)/(21*x-1) ogf] A169323 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169324 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169324 13.8629 [-(x+1)/(22*x-1) ogf] A169324 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169325 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169325 13.9359 [-(x+1)/(23*x-1) ogf] A169325 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169326 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169326 14.0818 [-(x+1)/(24*x-1) ogf] A169326 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169327 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169327 14.2278 [-(x+1)/(25*x-1) ogf] A169327 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169328 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169328 14.3737 [-(x+1)/(26*x-1) ogf] A169328 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169329 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169329 14.5926 [-(x+1)/(27*x-1) ogf] A169329 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169330 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169330 14.6656 [-(x+1)/(28*x-1) ogf] A169330 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169331 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169331 14.8115 [-(x+1)/(29*x-1) ogf] A169331 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169332 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169332 14.8844 [-(x+1)/(30*x-1) ogf] A169332 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169333 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169333 14.8844 [-(x+1)/(31*x-1) ogf] A169333 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169334 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169334 15.3952 [-(x+1)/(32*x-1) ogf] A169334 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169335 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169335 15.3952 [-(x+1)/(33*x-1) ogf] A169335 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169336 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169336 15.3952 [-(x+1)/(34*x-1) ogf] A169336 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169337 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169337 15.5411 [-(x+1)/(35*x-1) ogf] A169337 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169338 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169338 13.5403 [-(x+1)/(36*x-1) ogf] A169338 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169339 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169339 13.5403 [-(x+1)/(37*x-1) ogf] A169339 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169340 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169340 13.6828 [-(x+1)/(38*x-1) ogf] A169340 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169341 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169341 13.7541 [-(x+1)/(39*x-1) ogf] A169341 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169342 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169342 13.8966 [-(x+1)/(40*x-1) ogf] A169342 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169343 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169343 13.8966 [-(x+1)/(41*x-1) ogf] A169343 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169344 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169344 13.9678 [-(x+1)/(42*x-1) ogf] A169344 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169345 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169345 14.0391 [-(x+1)/(43*x-1) ogf] A169345 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169346 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169346 14.1816 [-(x+1)/(44*x-1) ogf] A169346 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169347 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169347 14.1816 [-(x+1)/(45*x-1) ogf] A169347 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169348 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169348 14.1816 [-(x+1)/(46*x-1) ogf] A169348 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169349 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169349 14.4667 [-(x+1)/(47*x-1) ogf] A169349 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169350 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169350 14.4667 [-(x+1)/(48*x-1) ogf] A169350 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169351 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169351 14.4667 [-(x+1)/(49*x-1) ogf] A169351 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169352 11.1553 [(3*x^30+x^29+2*x+2)/(x^29-4*x+2) ogf] A169353 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169353 17.6994 [-(x+1)/(3*x-1) ogf] A169353 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169354 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169354 17.7799 [-(x+1)/(4*x-1) ogf] A169354 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169355 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169355 16.6248 [-(x+1)/(5*x-1) ogf] A169355 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169356 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169356 16.3746 [-(x+1)/(-1+6*x) ogf] A169356 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169357 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169357 15.7883 [-(x+1)/(7*x-1) ogf] A169357 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169358 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169358 16.5980 [-(x+1)/(8*x-1) ogf] A169358 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169359 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169359 15.5180 [-(x+1)/(9*x-1) ogf] A169359 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169360 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169360 14.6040 [-(x+1)/(10*x-1) ogf] A169360 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169361 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169361 14.6040 [-(x+1)/(11*x-1) ogf] A169361 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169362 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169362 13.1968 [-(x+1)/(12*x-1) ogf] A169362 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169363 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169363 13.4950 [-(x+1)/(13*x-1) ogf] A169363 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169364 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169364 13.8678 [-(x+1)/(14*x-1) ogf] A169364 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169365 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169365 14.0915 [-(x+1)/(15*x-1) ogf] A169365 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169366 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169366 14.4643 [-(x+1)/(16*x-1) ogf] A169366 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169367 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169367 14.6879 [-(x+1)/(17*x-1) ogf] A169367 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169368 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169368 13.0604 [-(x+1)/(18*x-1) ogf] A169368 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169369 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169369 13.2063 [-(x+1)/(19*x-1) ogf] A169369 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169370 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169370 13.4252 [-(x+1)/(20*x-1) ogf] A169370 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169371 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169371 13.4981 [-(x+1)/(21*x-1) ogf] A169371 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169372 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169372 13.8629 [-(x+1)/(22*x-1) ogf] A169372 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169373 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169373 13.9359 [-(x+1)/(23*x-1) ogf] A169373 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169374 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169374 14.0818 [-(x+1)/(24*x-1) ogf] A169374 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169375 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169375 14.2278 [-(x+1)/(25*x-1) ogf] A169375 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169376 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169376 14.3737 [-(x+1)/(26*x-1) ogf] A169376 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169377 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169377 14.5926 [-(x+1)/(27*x-1) ogf] A169377 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169378 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169378 14.6656 [-(x+1)/(28*x-1) ogf] A169378 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169379 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169379 14.8115 [-(x+1)/(29*x-1) ogf] A169379 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169380 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169380 14.8844 [-(x+1)/(30*x-1) ogf] A169380 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169381 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169381 14.8844 [-(x+1)/(31*x-1) ogf] A169381 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169382 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169382 15.3952 [-(x+1)/(32*x-1) ogf] A169382 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169383 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169383 15.3952 [-(x+1)/(33*x-1) ogf] A169383 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169384 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169384 15.3952 [-(x+1)/(34*x-1) ogf] A169384 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169385 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169385 15.5411 [-(x+1)/(35*x-1) ogf] A169385 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169386 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169386 13.5403 [-(x+1)/(36*x-1) ogf] A169386 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169387 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169387 13.5403 [-(x+1)/(37*x-1) ogf] A169387 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169388 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169388 13.6828 [-(x+1)/(38*x-1) ogf] A169388 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169389 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169389 13.7541 [-(x+1)/(39*x-1) ogf] A169389 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169390 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169390 13.8966 [-(x+1)/(40*x-1) ogf] A169390 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169391 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169391 13.8966 [-(x+1)/(41*x-1) ogf] A169391 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169392 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169392 13.9678 [-(x+1)/(42*x-1) ogf] A169392 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169393 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169393 14.0391 [-(x+1)/(43*x-1) ogf] A169393 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169394 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169394 14.1816 [-(x+1)/(44*x-1) ogf] A169394 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169395 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169395 14.1816 [-(x+1)/(45*x-1) ogf] A169395 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169396 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169396 14.1816 [-(x+1)/(46*x-1) ogf] A169396 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169397 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169397 14.4667 [-(x+1)/(47*x-1) ogf] A169397 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169398 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169398 14.4667 [-(x+1)/(48*x-1) ogf] A169398 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169399 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169399 14.4667 [-(x+1)/(49*x-1) ogf] A169399 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169400 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A169400 19.2957 [-(x+1)/(2*x-1) ogf] A169400 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A169401 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169401 17.6994 [-(x+1)/(3*x-1) ogf] A169401 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169402 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169402 17.7799 [-(x+1)/(4*x-1) ogf] A169402 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169403 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169403 16.6248 [-(x+1)/(5*x-1) ogf] A169403 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169404 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169404 16.3746 [-(x+1)/(-1+6*x) ogf] A169404 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169405 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169405 15.7883 [-(x+1)/(7*x-1) ogf] A169405 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169406 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169406 16.5980 [-(x+1)/(8*x-1) ogf] A169406 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169407 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169407 15.5180 [-(x+1)/(9*x-1) ogf] A169407 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169408 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169408 14.6040 [-(x+1)/(10*x-1) ogf] A169408 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169409 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169409 14.6040 [-(x+1)/(11*x-1) ogf] A169409 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169410 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169410 13.1968 [-(x+1)/(12*x-1) ogf] A169410 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169411 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169411 13.4950 [-(x+1)/(13*x-1) ogf] A169411 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169412 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169412 13.8678 [-(x+1)/(14*x-1) ogf] A169412 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169413 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169413 14.0915 [-(x+1)/(15*x-1) ogf] A169413 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169414 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169414 14.4643 [-(x+1)/(16*x-1) ogf] A169414 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169415 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169415 14.6879 [-(x+1)/(17*x-1) ogf] A169415 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169416 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169416 13.0604 [-(x+1)/(18*x-1) ogf] A169416 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169417 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169417 13.2063 [-(x+1)/(19*x-1) ogf] A169417 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169418 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169418 13.4252 [-(x+1)/(20*x-1) ogf] A169418 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169419 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169419 13.4981 [-(x+1)/(21*x-1) ogf] A169419 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169420 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169420 13.8629 [-(x+1)/(22*x-1) ogf] A169420 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169421 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169421 13.9359 [-(x+1)/(23*x-1) ogf] A169421 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169422 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169422 14.0818 [-(x+1)/(24*x-1) ogf] A169422 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169423 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169423 14.2278 [-(x+1)/(25*x-1) ogf] A169423 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169424 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169424 14.3737 [-(x+1)/(26*x-1) ogf] A169424 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169425 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169425 14.5926 [-(x+1)/(27*x-1) ogf] A169425 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169426 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169426 14.6656 [-(x+1)/(28*x-1) ogf] A169426 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169427 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169427 14.8115 [-(x+1)/(29*x-1) ogf] A169427 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169428 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169428 14.8844 [-(x+1)/(30*x-1) ogf] A169428 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169429 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169429 14.8844 [-(x+1)/(31*x-1) ogf] A169429 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169430 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169430 15.3952 [-(x+1)/(32*x-1) ogf] A169430 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169431 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169431 15.3952 [-(x+1)/(33*x-1) ogf] A169431 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169432 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169432 15.3952 [-(x+1)/(34*x-1) ogf] A169432 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169433 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169433 15.5411 [-(x+1)/(35*x-1) ogf] A169433 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169434 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169434 13.5403 [-(x+1)/(36*x-1) ogf] A169434 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169435 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169435 13.5403 [-(x+1)/(37*x-1) ogf] A169435 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169436 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169436 13.6828 [-(x+1)/(38*x-1) ogf] A169436 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169437 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169437 13.7541 [-(x+1)/(39*x-1) ogf] A169437 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169438 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169438 13.8966 [-(x+1)/(40*x-1) ogf] A169438 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169439 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169439 13.8966 [-(x+1)/(41*x-1) ogf] A169439 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169440 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169440 13.9678 [-(x+1)/(42*x-1) ogf] A169440 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169441 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169441 14.0391 [-(x+1)/(43*x-1) ogf] A169441 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169442 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169442 14.1816 [-(x+1)/(44*x-1) ogf] A169442 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169443 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169443 14.1816 [-(x+1)/(45*x-1) ogf] A169443 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169444 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169444 14.1816 [-(x+1)/(46*x-1) ogf] A169444 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169445 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169445 14.4667 [-(x+1)/(47*x-1) ogf] A169445 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169446 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169446 14.4667 [-(x+1)/(48*x-1) ogf] A169446 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169447 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169447 14.4667 [-(x+1)/(49*x-1) ogf] A169447 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169448 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A169448 19.2957 [-(x+1)/(2*x-1) ogf] A169448 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A169449 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169449 17.6994 [-(x+1)/(3*x-1) ogf] A169449 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169450 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169450 17.7799 [-(x+1)/(4*x-1) ogf] A169450 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169451 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169451 16.6248 [-(x+1)/(5*x-1) ogf] A169451 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169452 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169452 16.3746 [-(x+1)/(-1+6*x) ogf] A169452 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169453 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169453 15.7883 [-(x+1)/(7*x-1) ogf] A169453 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169454 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169454 16.5980 [-(x+1)/(8*x-1) ogf] A169454 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169455 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169455 15.5180 [-(x+1)/(9*x-1) ogf] A169455 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169456 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169456 14.6040 [-(x+1)/(10*x-1) ogf] A169456 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169457 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169457 14.6040 [-(x+1)/(11*x-1) ogf] A169457 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169458 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169458 13.1968 [-(x+1)/(12*x-1) ogf] A169458 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169459 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169459 13.4950 [-(x+1)/(13*x-1) ogf] A169459 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169460 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169460 13.8678 [-(x+1)/(14*x-1) ogf] A169460 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169461 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169461 14.0915 [-(x+1)/(15*x-1) ogf] A169461 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169462 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169462 14.4643 [-(x+1)/(16*x-1) ogf] A169462 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169463 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169463 14.6879 [-(x+1)/(17*x-1) ogf] A169463 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169464 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169464 13.0604 [-(x+1)/(18*x-1) ogf] A169464 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169465 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169465 13.2063 [-(x+1)/(19*x-1) ogf] A169465 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169466 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169466 13.4252 [-(x+1)/(20*x-1) ogf] A169466 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169467 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169467 13.4981 [-(x+1)/(21*x-1) ogf] A169467 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169468 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169468 13.8629 [-(x+1)/(22*x-1) ogf] A169468 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169469 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169469 13.9359 [-(x+1)/(23*x-1) ogf] A169469 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169470 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169470 14.0818 [-(x+1)/(24*x-1) ogf] A169470 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169471 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169471 14.2278 [-(x+1)/(25*x-1) ogf] A169471 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169472 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169472 14.3737 [-(x+1)/(26*x-1) ogf] A169472 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169473 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169473 14.5926 [-(x+1)/(27*x-1) ogf] A169473 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169474 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169474 14.6656 [-(x+1)/(28*x-1) ogf] A169474 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169475 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169475 14.8115 [-(x+1)/(29*x-1) ogf] A169475 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169476 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169476 14.8844 [-(x+1)/(30*x-1) ogf] A169476 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169477 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169477 14.8844 [-(x+1)/(31*x-1) ogf] A169477 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169478 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169478 15.3952 [-(x+1)/(32*x-1) ogf] A169478 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169479 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169479 15.3952 [-(x+1)/(33*x-1) ogf] A169479 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169480 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169480 15.3952 [-(x+1)/(34*x-1) ogf] A169480 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169481 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169481 15.5411 [-(x+1)/(35*x-1) ogf] A169481 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169482 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169482 13.5403 [-(x+1)/(36*x-1) ogf] A169482 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169483 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169483 13.5403 [-(x+1)/(37*x-1) ogf] A169483 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169484 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169484 13.6828 [-(x+1)/(38*x-1) ogf] A169484 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169485 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169485 13.7541 [-(x+1)/(39*x-1) ogf] A169485 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169486 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169486 13.8966 [-(x+1)/(40*x-1) ogf] A169486 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169487 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169487 13.8966 [-(x+1)/(41*x-1) ogf] A169487 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169488 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169488 13.9678 [-(x+1)/(42*x-1) ogf] A169488 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169489 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169489 14.0391 [-(x+1)/(43*x-1) ogf] A169489 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169490 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169490 14.1816 [-(x+1)/(44*x-1) ogf] A169490 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169491 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169491 14.1816 [-(x+1)/(45*x-1) ogf] A169491 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169492 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169492 14.1816 [-(x+1)/(46*x-1) ogf] A169492 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169493 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169493 14.4667 [-(x+1)/(47*x-1) ogf] A169493 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169494 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169494 14.4667 [-(x+1)/(48*x-1) ogf] A169494 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169495 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169495 14.4667 [-(x+1)/(49*x-1) ogf] A169495 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169496 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A169496 19.2957 [-(x+1)/(2*x-1) ogf] A169496 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A169497 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169497 17.6994 [-(x+1)/(3*x-1) ogf] A169497 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169498 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169498 17.7799 [-(x+1)/(4*x-1) ogf] A169498 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169499 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169499 16.6248 [-(x+1)/(5*x-1) ogf] A169499 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169500 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169500 16.3746 [-(x+1)/(-1+6*x) ogf] A169500 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169501 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169501 15.7883 [-(x+1)/(7*x-1) ogf] A169501 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169502 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169502 16.5980 [-(x+1)/(8*x-1) ogf] A169502 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169503 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169503 15.5180 [-(x+1)/(9*x-1) ogf] A169503 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169504 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169504 14.6040 [-(x+1)/(10*x-1) ogf] A169504 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169505 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169505 14.6040 [-(x+1)/(11*x-1) ogf] A169505 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169506 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169506 13.1968 [-(x+1)/(12*x-1) ogf] A169506 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169507 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169507 13.4950 [-(x+1)/(13*x-1) ogf] A169507 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169508 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169508 13.8678 [-(x+1)/(14*x-1) ogf] A169508 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169509 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169509 14.0915 [-(x+1)/(15*x-1) ogf] A169509 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169510 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169510 14.4643 [-(x+1)/(16*x-1) ogf] A169510 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169511 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169511 14.6879 [-(x+1)/(17*x-1) ogf] A169511 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169512 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169512 13.0604 [-(x+1)/(18*x-1) ogf] A169512 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169513 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169513 13.2063 [-(x+1)/(19*x-1) ogf] A169513 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169514 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169514 13.4252 [-(x+1)/(20*x-1) ogf] A169514 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169515 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169515 13.4981 [-(x+1)/(21*x-1) ogf] A169515 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169516 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169516 13.8629 [-(x+1)/(22*x-1) ogf] A169516 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169517 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169517 13.9359 [-(x+1)/(23*x-1) ogf] A169517 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169518 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169518 14.0818 [-(x+1)/(24*x-1) ogf] A169518 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169519 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169519 14.2278 [-(x+1)/(25*x-1) ogf] A169519 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169520 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169520 14.3737 [-(x+1)/(26*x-1) ogf] A169520 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169521 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169521 14.5926 [-(x+1)/(27*x-1) ogf] A169521 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169522 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169522 14.6656 [-(x+1)/(28*x-1) ogf] A169522 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169523 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169523 14.8115 [-(x+1)/(29*x-1) ogf] A169523 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169524 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169524 14.8844 [-(x+1)/(30*x-1) ogf] A169524 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169525 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169525 14.8844 [-(x+1)/(31*x-1) ogf] A169525 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169526 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169526 15.3952 [-(x+1)/(32*x-1) ogf] A169526 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169527 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169527 15.3952 [-(x+1)/(33*x-1) ogf] A169527 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169528 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169528 15.3952 [-(x+1)/(34*x-1) ogf] A169528 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169529 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169529 15.5411 [-(x+1)/(35*x-1) ogf] A169529 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169530 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169530 13.5403 [-(x+1)/(36*x-1) ogf] A169530 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169531 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169531 13.5403 [-(x+1)/(37*x-1) ogf] A169531 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169532 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A169532 13.6828 [-(x+1)/(38*x-1) ogf] A169532 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A169533 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A169533 13.7541 [-(x+1)/(39*x-1) ogf] A169533 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A169534 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A169534 13.8966 [-(x+1)/(40*x-1) ogf] A169534 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A169535 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A169535 13.8966 [-(x+1)/(41*x-1) ogf] A169535 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A169536 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A169536 13.9678 [-(x+1)/(42*x-1) ogf] A169536 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A169537 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A169537 14.0391 [-(x+1)/(43*x-1) ogf] A169537 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A169538 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A169538 14.1816 [-(x+1)/(44*x-1) ogf] A169538 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A169539 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A169539 14.1816 [-(x+1)/(45*x-1) ogf] A169539 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A169540 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A169540 14.1816 [-(x+1)/(46*x-1) ogf] A169540 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A169541 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A169541 14.4667 [-(x+1)/(47*x-1) ogf] A169541 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A169542 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A169542 14.4667 [-(x+1)/(48*x-1) ogf] A169542 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A169543 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A169543 14.4667 [-(x+1)/(49*x-1) ogf] A169543 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A169544 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A169544 19.2957 [-(x+1)/(2*x-1) ogf] A169544 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A169545 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A169545 17.6994 [-(x+1)/(3*x-1) ogf] A169545 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A169546 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A169546 17.7799 [-(x+1)/(4*x-1) ogf] A169546 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A169547 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A169547 16.6248 [-(x+1)/(5*x-1) ogf] A169547 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A169548 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A169548 16.3746 [-(x+1)/(-1+6*x) ogf] A169548 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A169549 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A169549 15.7883 [-(x+1)/(7*x-1) ogf] A169549 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A169550 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A169550 16.5980 [-(x+1)/(8*x-1) ogf] A169550 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A169551 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A169551 15.5180 [-(x+1)/(9*x-1) ogf] A169551 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A169552 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A169552 14.6040 [-(x+1)/(10*x-1) ogf] A169552 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A169553 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A169553 14.6040 [-(x+1)/(11*x-1) ogf] A169553 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A169554 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A169554 13.1968 [-(x+1)/(12*x-1) ogf] A169554 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A169555 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A169555 13.4950 [-(x+1)/(13*x-1) ogf] A169555 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A169556 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A169556 13.8678 [-(x+1)/(14*x-1) ogf] A169556 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A169557 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A169557 14.0915 [-(x+1)/(15*x-1) ogf] A169557 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A169558 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A169558 14.4643 [-(x+1)/(16*x-1) ogf] A169558 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A169559 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A169559 14.6879 [-(x+1)/(17*x-1) ogf] A169559 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A169560 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A169560 13.0604 [-(x+1)/(18*x-1) ogf] A169560 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A169561 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A169561 13.2063 [-(x+1)/(19*x-1) ogf] A169561 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A169562 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A169562 13.4252 [-(x+1)/(20*x-1) ogf] A169562 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A169563 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A169563 13.4981 [-(x+1)/(21*x-1) ogf] A169563 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A169564 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A169564 13.8629 [-(x+1)/(22*x-1) ogf] A169564 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A169565 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A169565 13.9359 [-(x+1)/(23*x-1) ogf] A169565 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A169566 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A169566 14.0818 [-(x+1)/(24*x-1) ogf] A169566 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A169567 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A169567 14.2278 [-(x+1)/(25*x-1) ogf] A169567 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A169568 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A169568 14.3737 [-(x+1)/(26*x-1) ogf] A169568 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A169569 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A169569 14.5926 [-(x+1)/(27*x-1) ogf] A169569 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A169570 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A169570 14.6656 [-(x+1)/(28*x-1) ogf] A169570 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A169571 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A169571 14.8115 [-(x+1)/(29*x-1) ogf] A169571 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A169572 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A169572 14.8844 [-(x+1)/(30*x-1) ogf] A169572 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A169573 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A169573 14.8844 [-(x+1)/(31*x-1) ogf] A169573 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A169574 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A169574 15.3952 [-(x+1)/(32*x-1) ogf] A169574 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A169575 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A169575 15.3952 [-(x+1)/(33*x-1) ogf] A169575 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A169576 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A169576 15.3952 [-(x+1)/(34*x-1) ogf] A169576 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A169577 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A169577 15.5411 [-(x+1)/(35*x-1) ogf] A169577 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A169578 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A169578 13.5403 [-(x+1)/(36*x-1) ogf] A169578 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A169579 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A169579 13.5403 [-(x+1)/(37*x-1) ogf] A169579 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A169585 10.2387 [{a(n+2),a(0)=1,a(1)=3} ogf] A169585 108.075 [3/(1+3*x) lgdogf] A169585 18.9606 [1+3*x-f(x) ogf] A169585 44.2126 [2*x/(1+(1+12*x)^(1/2)) revogf] A169592 6.37438 [-(x^6-x^5+x^4-4*x^3-x^2+x+1)/(x-1)/(3*x^3-1)/(x^4+x^2-1) ogf] A169597 13.9589 [(4*x^2+13*x+2)/(x+1)/(x-1)^2 ogf] A169597 15.1459 [-(-72-84*x+53*x^3+27*x^2)/(x-1)/(x+1)/(53*x^2-13*x-59) lgdogf] A169597 7.33433 [(893*f(x)+66110)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-13*x-2) ogf] A169597 7.59167 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=15,a(2)=21} ogf] A169598 13.7671 [(5*x^2+15*x+3)/(x+1)/(x-1)^2 ogf] A169598 15.0001 [-(-95-125*x+72*x^3+56*x^2)/(x-1)/(x+1)/(72*x^2-8*x-87) lgdogf] A169598 7.11302 [(3473*f(x)-155375)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-15*x-3) ogf] A169598 7.48738 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=18,a(2)=26} ogf] A169599 13.3027 [-(-149-187*x+120*x^3+100*x^2)/(x-1)/(x+1)/(120*x^2-10*x-139) lgdogf] A169599 14.5419 [(6*x^2+19*x+4)/(x+1)/(x-1)^2 ogf] A169599 7.15556 [-(14123*f(x)-1090754)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-19*x-4) ogf] A169599 7.90877 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=23,a(2)=33} ogf] A169600 13.3027 [-(-180-200*x+149*x^3+107*x^2)/(x-1)/(x+1)/(149*x^2-21*x-159) lgdogf] A169600 15.8467 [(6*x^2+21*x+4)/(x+1)/(x-1)^2 ogf] A169600 8.39743 [(93*f(x)+17828)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-21*x-4) ogf] A169600 8.61840 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=4,a(1)=25,a(2)=35} ogf] A169601 3.16954 [(160058811*f(x)-373609826)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+2810*x^2-f(x)-139*x+2) ogf] A169601 3.57852 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=2,a(1)=83,a(2)=9803} ogf] A169601 5.99643 [-(2810*x^2-139*x+2)/(x-1)/(100*x-1)/(10*x-1) ogf] A169604 11.0035 [{a(n+1)-6*a(n),a(0)=3} ogf] A169604 13.9557 [-6*f(x)*x+f(x)-3 ogf] A169604 22.8874 [-3/(-1+6*x) ogf] A169604 43.0924 [1/3*x/(2*x+1) revogf] A169604 56.0202 [-6/(6*x-1) lgdogf] A169607 13.7718 [7*x*(x+1)/(x-1)^4 ogf] A169607 42.3602 [[5-x] ogf_with_Euler_transform] A169607 44.1941 [-(5+3*x)/(x-1)/(x+1) lgdogf] A169607 6.5821 [-(2144*f(x)+12551)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-7*x) ogf] A169607 6.68034 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=7,a(2)=35} ogf] A169609 13.0433 [(5*f(x)+22)*(f(x)*x^3+3*x^2-f(x)+3*x+1) ogf] A169609 13.0433 [{-a(n+3)+a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A169609 18.0125 [-3*(1+2*x+x^4+x^2+2*x^3)/(x-1)/(x^2+x+1)/(3*x^2+3*x+1) lgdogf] A169609 20.2305 [-(3*x^2+3*x+1)/(x-1)/(x^2+x+1) ogf] A169610 13.1025 [-(-252-276*x+165*x^2+215*x^3)/(x-1)/(x+1)/(215*x^2-25*x-227) lgdogf] A169610 14.8680 [(7*x^2+25*x+5)/(x+1)/(x-1)^2 ogf] A169610 7.434 [-(3293*f(x)+892751)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-25*x-5) ogf] A169610 8.08610 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=30,a(2)=42} ogf] A169622 12.4783 [-(6-8*x+4*x^4+8*x^3-7*x^2)/(x-1)/(4*x^2+4*x-5)/(x^2+x-1) lgdogf] A169622 14.9622 [-(4*x^2+4*x-5)/(x-1)/(x^2+x-1) ogf] A169622 8.3473 [(11*f(x)-27)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)+4*x-5) ogf] A169622 8.43612 [{a(n+3)-2*a(n+2)+a(n),a(0)=5,a(1)=6,a(2)=8} ogf] A169630 7.32409 [x*(x^4-2*x^3+4*x^2-2*x+1)/(x+1)^2/(x^2-3*x+1)^2 ogf] A169630 7.72953 [-2*(-1-6*x+x^6-3*x^5+12*x^4+12*x^2-17*x^3)/(x+1)/(x^2-3*x+1)/(x^4-2*x^3+4*x^2-2*x+1) lgdogf] A169634 11.6949 [{a(n+1)-7*a(n),a(0)=3} ogf] A169634 14.8325 [-7*f(x)*x+f(x)-3 ogf] A169634 24.3253 [-3/(7*x-1) ogf] A169634 24.8396 [-1/7*ln(3)+1/7*ln(3+7*x) revegf] A169634 54.1955 [-7/(-1+7*x) lgdogf] A169642 10.4866 [-2*(10+21*x+x^5+18*x^4+26*x^3+68*x^2)/(x-1)/(x+1)/(x^4+12*x^3+12*x^2+20*x+3) lgdogf] A169642 6.03382 [{(-2*n^2-13*n-21)*a(n+1)+(2*n^2+5*n+3)*a(n+3),a(0)=0,a(1)=3,a(2)=20} ogf] A169642 9.18786 [-x*(x^4+12*x^3+12*x^2+20*x+3)/(x-1)^3/(x+1)^3 ogf] A169650 10.6040 [-(7-38*x+84*x^4-132*x^3+91*x^2)/(x-1)/(3*x-1)/(2*x-1)/(14*x^2-11*x+3) lgdogf] A169650 11.6384 [-(14*x^2-11*x+3)/(x-1)/(3*x-1)/(2*x-1) ogf] A169650 6.25932 [-(2*f(x)+45)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+14*x^2-f(x)-11*x+3) ogf] A169650 6.53386 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=3,a(1)=7,a(2)=23} ogf] A169651 11.0640 [(x^4-7*x^2+5*x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A169651 5.30465 [{a(n+5)-6*a(n+4)+11*a(n+3)-6*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=7,a(4)=25} ogf] A169651 6.05061 [-(218*f(x)+615)*(6*f(x)*x^3-x^4-11*f(x)*x^2+6*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A169651 9.39518 [(1-8*x+6*x^6-22*x^5+60*x^4-64*x^3+31*x^2)/(x-1)/(3*x-1)/(2*x-1)/(x^4-7*x^2+5*x-1) lgdogf] A169670 7.35966 [3*(1+8*x^11+22*x^12-11*x^10-2*x^4+7*x^2-11*x^14-16*x^13+8*x^15)/(x-1)/(x+1)/(2*x^14-3*x^13-2*x^12+3*x^11-6*x^3+3*x^2-3*x-3) lgdogf] A169670 7.55971 [(2*x^14-3*x^13-2*x^12+3*x^11-6*x^3+3*x^2-3*x-3)/(x-1)/(x+1) ogf] A169675 10.6041 [-x^3*(x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A169675 10.6499 [-x*(2+4*x^10+5*x^9+6*x^8+8*x^6+3*x+4*x^2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+1)/(x^4+1) lgdogf] A169676 7.48131 [-x*(4+12*x^4+6*x^10+5*x^11+14*x^9+9*x^7+10*x^3+3*x+4*x^2+6*x^13+8*x^12)/(x-1)/(x^2+x+1)/(2*x^2+1)/(x^6+x^3+1)/(x^4+x^3+1) lgdogf] A169676 9.53062 [-x^2*(2*x^2+1)*(x^4+x^3+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A169686 4.28915 [-(11969663*f(x)+1575850)*(f(x)*x^4-204*f(x)*x^3+1190*f(x)*x^2-30*x^3-204*f(x)*x+270*x^2+f(x)-30*x) ogf] A169686 8.22087 [30*x*(x^2-9*x+1)/(x^2-6*x+1)/(x^2-198*x+1) ogf] A169687 17.2848 [-3*(3*x-2)/(3*x-1)/(2*x-1) ogf] A169687 18.6496 [-1/6*(-6-5*x+(36+24*x+x^2)^(1/2))/(3+2*x) revogf] A169687 8.94043 [(11*f(x)+81)*(6*f(x)*x^2-5*f(x)*x+f(x)+9*x-6) ogf] A169687 9.37130 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=6,a(1)=21} ogf] A169711 11.3226 [(19*x^2+16*x+1)/(x-1)^4 ogf] A169711 3.92150 [{(n+4)*a(n+4)+(25+15*n)*a(n+3)+(-80+3*n)*a(n+2)+(-57-19*n)*a(n+1),a(0)=1,a(1)=20,a(2)=93,a(3)=256} ogf] A169711 5.74219 [(17208*f(x)+253145)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-19*x^2+f(x)-16*x-1) ogf] A169712 3.92444 [{(1673*n^2+4748*n-813)*a(n+1)+(-2878*n^2-9312*n-35882)*a(n+2)+(1205*n^2+6436*n+8463)*a(n+3),a(0)=1,a(1)=70,a(2)=639} ogf] A169712 8.70202 [-(211*x^3+299*x^2+65*x+1)/(x-1)^5 ogf] A169713 6.23289 [(3651*x^4+7346*x^3+3156*x^2+246*x+1)/(x-1)^6 ogf] A169720 12.3563 [(x^2-3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A169720 6.49231 [(2982*f(x)-2707)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-x^2-f(x)+3*x+1) ogf] A169720 6.66168 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=10,a(2)=55} ogf] A169721 10.5303 [-4*(4-6*x+4*x^4+36*x^3-29*x^2)/(x-1)/(2*x-1)/(-1+4*x)/(2*x^2+9*x+1) lgdogf] A169721 11.5845 [-(2*x^2+9*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A169721 6.03563 [(7059*f(x)-13357)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)+9*x+1) ogf] A169721 6.19172 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=16,a(2)=100} ogf] A169722 10.1160 [-(22-18*x+40*x^4+240*x^3-221*x^2)/(x-1)/(-1+4*x)/(2*x-1)/(5*x^2+15*x+1) lgdogf] A169722 11.6024 [-(5*x^2+15*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A169722 5.75553 [(21132366*f(x)-63299981)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+5*x^2-f(x)+15*x+1) ogf] A169722 6.30131 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=22,a(2)=145} ogf] A169723 5.14891 [-(22648*f(x)+69707)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+60*x^2-f(x)-50*x+6) ogf] A169723 5.58526 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=6,a(1)=28,a(2)=190} ogf] A169723 8.86408 [-2*(7-87*x+405*x^4-675*x^3+414*x^2)/(x-1)/(3*x-1)/(9*x-1)/(30*x^2-25*x+3) lgdogf] A169723 9.98577 [-2*(30*x^2-25*x+3)/(x-1)/(3*x-1)/(9*x-1) ogf] A169724 10.3035 [-(75*x^2-68*x+9)/(x-1)/(3*x-1)/(9*x-1) ogf] A169724 5.19108 [-(275336*f(x)+1015867)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+75*x^2-f(x)-68*x+9) ogf] A169724 5.76297 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=9,a(1)=49,a(2)=361} ogf] A169724 8.79010 [-(49-552*x+2025*x^4-3672*x^3+2406*x^2)/(x-1)/(3*x-1)/(9*x-1)/(75*x^2-68*x+9) lgdogf] A169725 10.3733 [-2*(45*x^2-43*x+6)/(x-1)/(3*x-1)/(9*x-1) ogf] A169725 5.38767 [(2225816*f(x)+9715779)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+90*x^2-f(x)-86*x+12) ogf] A169725 5.84041 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=12,a(1)=70,a(2)=532} ogf] A169725 8.98719 [-(35-378*x+1215*x^4-2322*x^3+1578*x^2)/(x-1)/(3*x-1)/(9*x-1)/(45*x^2-43*x+6) lgdogf] A169726 12.8755 [-(2*x^2+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A169726 13.1054 [-(7-24*x+16*x^4+10*x^2)/(x-1)/(2*x-1)/(-1+4*x)/(2*x^2+1) lgdogf] A169726 6.55070 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=7,a(2)=37} ogf] A169726 6.60867 [(3135*f(x)-841)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)+1) ogf] A169727 10.1160 [-(19-12*x+64*x^4+192*x^3-200*x^2)/(x-1)/(-1+4*x)/(2*x-1)/(8*x^2+12*x+1) lgdogf] A169727 11.6024 [-(8*x^2+12*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A169727 5.99141 [(48387*f(x)-122332)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+8*x^2-f(x)+12*x+1) ogf] A169727 6.30131 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=19,a(2)=127} ogf] A169767 8.32634 [31/3530184*(-229028+5176501*x^4+(52453824784-754105379752*x^4+26796162603001*x^8)^(1/2))/x lgdogf] A169784 99.9999 Evaluated at exp(-Pi) 8/125*Pi^(3/4)*2^(3/5)*5^(1/4)/GAMMA(3/4)^3/GAMMA(4/5)^6*GAMMA(9/10)^3*GAMMA(7/10)^3*(5+5^(1/2))^3*(1/4*5^(1/2)-1/4)^3*(1/4*5^(1/2)+1/4)^3 A169792 51.1830 [5/(2*x-1)/(x-1) lgdogf] A169792 6.40339 [{(n+2)*a(n+2)+(-8-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=5} ogf] A169792 7.23346 [(x-1)^5/(2*x-1)^5 ogf] A169793 5.96696 [(x-1)^6/(2*x-1)^6 ogf] A169793 50.4273 [6/(2*x-1)/(x-1) lgdogf] A169793 6.30933 [{(n+2)*a(n+2)+(-9-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=6} ogf] A169794 48.9982 [7/(2*x-1)/(x-1) lgdogf] A169794 5.02118 [(x-1)^7/(2*x-1)^7 ogf] A169794 6.08257 [{(n+2)*a(n+2)+(-10-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=7} ogf] A169795 4.45796 [(x-1)^8/(2*x-1)^8 ogf] A169795 50.5362 [8/(2*x-1)/(x-1) lgdogf] A169795 6.27014 [{(n+2)*a(n+2)+(-11-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=8} ogf] A169796 3.80947 [(x-1)^9/(2*x-1)^9 ogf] A169796 48.6543 [9/(2*x-1)/(x-1) lgdogf] A169796 6.03941 [{(n+2)*a(n+2)+(-12-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=9} ogf] A169797 3.38785 [(x-1)^10/(2*x-1)^10 ogf] A169797 47.0388 [10/(2*x-1)/(x-1) lgdogf] A169797 6.17463 [{(n+2)*a(n+2)+(-13-3*n)*a(n+1)+2*n*a(n),a(0)=1,a(1)=10} ogf] A169801 16.6506 [-4*(4+18*x+x^3+12*x^2)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A169801 6.72052 [-4*x^2*(x+1)*(x^2+8*x+1)/(x-1)^7 ogf] A169801 6.77947 [{(n^2+6*n+9)*a(n+1)-a(n+2)*n^2,a(0)=0,a(1)=0,a(2)=4} ogf] A169805 7.57561 [-2*x*(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A169823 100.023 [-2/(x-1) lgdogf] A169823 13.5279 [-f(x)*x^2+2*f(x)*x-f(x)+60*x ogf] A169823 21.3598 [60*x/(x-1)^2 ogf] A169823 28.5781 [15*x/(15+(225+15*x)^(1/2))^2 revogf] A169823 62.0778 [[2] ogf_with_Euler_transform] A169823 9.89844 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=60} ogf] A169825 100.266 [-2/(x-1) lgdogf] A169825 13.3323 [-f(x)*x^2+2*f(x)*x-f(x)+420*x ogf] A169825 20.8531 [420*x/(x-1)^2 ogf] A169825 24.3070 [105*x/(105+(11025+105*x)^(1/2))^2 revogf] A169825 62.1435 [[2] ogf_with_Euler_transform] A169825 9.79846 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=420} ogf] A169827 13.2128 [-f(x)*x^2+2*f(x)*x-f(x)+840*x ogf] A169827 20.6662 [840*x/(x-1)^2 ogf] A169827 24.0907 [210*x/(210+(44100+210*x)^(1/2))^2 revogf] A169827 61.5592 [[2] ogf_with_Euler_transform] A169827 9.71064 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=840} ogf] A169827 99.3741 [-2/(x-1) lgdogf] A169830 14.5418 [(62*x+1)/(10*x-1)/(x-1) ogf] A169830 7.50544 [(783*f(x)+4546)*(10*f(x)*x^2-11*f(x)*x+f(x)-62*x-1) ogf] A169830 8.21182 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=73} ogf] A169831 13.1812 [(2*x^2-4*x-1)/(2*x-1)/(x-1)^2 ogf] A169831 15.4939 [-2*(4-3*x+2*x^3-6*x^2)/(2*x-1)/(x-1)/(-1+2*x^2-4*x) lgdogf] A169831 6.87223 [(2009*f(x)-6954)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+4*x+1) ogf] A169831 7.11550 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=8,a(2)=25} ogf] A169832 10.6732 [-x*(4*x+1)*(x-3)/(2*x-1)/(x-1)^3 ogf] A169832 14.9907 [-2*(13-5*x+8*x^3-31*x^2)/(x-1)/(x-3)/(2*x-1)/(1+4*x) lgdogf] A169832 5.40971 [(1209800*f(x)+7954183)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+4*x^3-5*f(x)*x-11*x^2+f(x)-3*x) ogf] A169833 11.7078 [-2*(8+13*x+8*x^4-3*x^3-46*x^2)/(x-1)/(2*x-1)/(4*x^3-3*x^2-10*x-1) lgdogf] A169833 8.80090 [2*(4*x^3-3*x^2-10*x-1)/(2*x-1)/(x-1)^4 ogf] A169860 9.41614 [x*(26*x^4+25*x^3+26*x^2+25*x+25)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A169919 12.9822 [-2*x*(90*x^10-100*x^9-1)/(x-1)^2 ogf] A169919 14.3923 [2*(1+360*x^10+450*x^8-800*x^9)/(x-1)/(90*x^10-100*x^9-1) lgdogf] A169920 6.03214 [[4-x] ogf_with_Euler_transform] A169932 10.3814 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+11*x^9)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)/(x+1) lgdogf] A169932 18.3273 [10*x^10/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A169933 7.52079 [2*x*(x^9+x^8+x^7+x^6+x^5-4*x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A169936 4.18841 [-(7*x^23+2*x^22-9*x^15+2*x^14+16*x^12+2*x^11+6*x^10+x^9+66*x^8-x^7-5*x^6-x^5-17*x^4-3*x^3-7*x^2-2*x-67)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A169937 5.91717 [{(n^2+29*n+210)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=91} ogf] A169938 37.5416 [[7-2*x] ogf_with_Euler_transform] A169938 39.3590 [-(7+3*x)/(x-1)/(x+1) lgdogf] A169938 6.01820 [{(n+1)*a(n+3)-7*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=6} ogf] A169938 9.02730 [-6*x^2*(x+1)^2/(x-1)^5 ogf] A169963 14.5418 [-(14*x-5)/(10*x-1)/(2*x-1) ogf] A169963 14.5962 [-2*(23-100*x+140*x^2)/(2*x-1)/(14*x-5)/(10*x-1) lgdogf] A169963 14.9135 [-1/4*(-5-12*x+(25+64*x+64*x^2)^(1/2))/(7+10*x) revogf] A169963 7.42559 [-(88*f(x)+89)*(20*f(x)*x^2-12*f(x)*x+f(x)+14*x-5) ogf] A169963 8.21182 [{a(n+2)-12*a(n+1)+20*a(n),a(0)=5,a(1)=46} ogf] A169969 10.9058 [-(4*x^4+4*x^3+4*x^2+3*x+1)/(x^2+1)/(2*x^2-1) ogf] A169969 7.04534 [-(2*f(x)+1)*(2*f(x)*x^4+4*x^4+f(x)*x^2+4*x^3+4*x^2-f(x)+3*x+1) ogf] A169975 18.6874 [-(x^4-x+1)/(x^8-1) ogf_with_Euler_transform] A169985 11.1971 [f(x)*x^2-x^3+f(x)*x-f(x)+x+1 ogf] A169985 14.9999 [(x^3-x-1)/(x^2+x-1) ogf] A169985 18.1474 [(2+2*x+2*x^3-2*x^2+x^4)/(x^2+x-1)/(x^3-x-1) lgdogf] A169985 6.97362 [{a(n+4)-a(n+3)-a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=4} ogf] A169986 5.84205 [f(x)*x^4+f(x)*x^3+x^4-2*f(x)*x^2+x^3-f(x)*x+x^2+f(x)-x-1 ogf] A169986 8.45380 [-(x^4+x^3+x^2-x-1)/(x-1)/(x+1)/(x^2+x-1) ogf] A169986 9.77958 [-(2+2*x+3*x^4-8*x^3+6*x^5-3*x^2)/(x-1)/(x+1)/(x^2+x-1)/(x^4+x^3+x^2-x-1) lgdogf] A169998 10.2253 [{a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=1} ogf] A169998 18.6327 [(2*x+1)/(2*x^2+x+1) ogf] A169998 21.5133 [-1/4*(-1+x+(-(1+7*x)*(-1+x))^(1/2))/(-1+x) revogf] A169998 25.8160 [-(-1+4*x+4*x^2)/(1+2*x)/(2*x^2+x+1) lgdogf] A169998 9.86438 [(7*f(x)-6)*(2*f(x)*x^2+f(x)*x+f(x)-2*x-1) ogf] A170000 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170000 13.6828 [-(x+1)/(38*x-1) ogf] A170000 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170000 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170000 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170001 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170001 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170001 13.7541 [-(x+1)/(39*x-1) ogf] A170001 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170001 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170002 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170002 13.8966 [-(x+1)/(40*x-1) ogf] A170002 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170002 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170002 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170003 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170003 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170003 13.8966 [-(x+1)/(41*x-1) ogf] A170003 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170003 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170004 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170004 13.9678 [-(x+1)/(42*x-1) ogf] A170004 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170004 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170004 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170005 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170005 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170005 14.0391 [-(x+1)/(43*x-1) ogf] A170005 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170005 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170006 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170006 14.1816 [-(x+1)/(44*x-1) ogf] A170006 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170006 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170006 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170007 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170007 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170007 14.1816 [-(x+1)/(45*x-1) ogf] A170007 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170007 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170008 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170008 14.1816 [-(x+1)/(46*x-1) ogf] A170008 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170008 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170008 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170009 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170009 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170009 14.4667 [-(x+1)/(47*x-1) ogf] A170009 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170009 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170010 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170010 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170010 14.4667 [-(x+1)/(48*x-1) ogf] A170010 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170010 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170011 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170011 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170011 14.4667 [-(x+1)/(49*x-1) ogf] A170011 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170011 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170012 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170012 19.2957 [-(x+1)/(2*x-1) ogf] A170012 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170012 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170012 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170013 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170013 17.6994 [-(x+1)/(3*x-1) ogf] A170013 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170013 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170013 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170014 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170014 17.7799 [-(x+1)/(4*x-1) ogf] A170014 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170014 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170014 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170015 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170015 16.6248 [-(x+1)/(5*x-1) ogf] A170015 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170015 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170015 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170016 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170016 16.3746 [-(x+1)/(-1+6*x) ogf] A170016 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170016 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170016 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170017 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170017 15.7883 [-(x+1)/(7*x-1) ogf] A170017 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170017 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170017 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170018 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170018 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170018 16.5980 [-(x+1)/(8*x-1) ogf] A170018 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170018 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170019 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170019 15.5180 [-(x+1)/(9*x-1) ogf] A170019 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170019 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170019 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170020 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170020 14.6040 [-(x+1)/(10*x-1) ogf] A170020 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170020 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170020 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170021 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170021 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170021 14.6040 [-(x+1)/(11*x-1) ogf] A170021 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170021 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170022 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170022 13.1968 [-(x+1)/(12*x-1) ogf] A170022 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170022 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170022 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170023 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170023 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170023 13.4950 [-(x+1)/(13*x-1) ogf] A170023 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170023 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170024 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170024 13.8678 [-(x+1)/(14*x-1) ogf] A170024 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170024 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170024 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170025 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170025 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170025 14.0915 [-(x+1)/(15*x-1) ogf] A170025 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170025 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170026 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170026 14.4643 [-(x+1)/(16*x-1) ogf] A170026 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170026 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170026 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170027 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170027 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170027 14.6879 [-(x+1)/(17*x-1) ogf] A170027 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170027 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170028 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170028 13.0604 [-(x+1)/(18*x-1) ogf] A170028 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170028 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170028 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170029 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170029 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170029 13.2063 [-(x+1)/(19*x-1) ogf] A170029 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170029 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170030 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170030 13.4252 [-(x+1)/(20*x-1) ogf] A170030 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170030 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170030 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170031 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170031 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170031 13.4981 [-(x+1)/(21*x-1) ogf] A170031 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170031 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170032 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170032 13.8629 [-(x+1)/(22*x-1) ogf] A170032 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170032 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170032 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170033 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170033 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170033 13.9359 [-(x+1)/(23*x-1) ogf] A170033 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170033 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170034 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170034 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170034 14.0818 [-(x+1)/(24*x-1) ogf] A170034 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170034 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170035 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170035 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170035 14.2278 [-(x+1)/(25*x-1) ogf] A170035 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170035 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170036 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170036 14.3737 [-(x+1)/(26*x-1) ogf] A170036 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170036 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170036 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170037 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170037 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170037 14.5926 [-(x+1)/(27*x-1) ogf] A170037 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170037 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170038 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170038 14.6656 [-(x+1)/(28*x-1) ogf] A170038 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170038 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170038 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170039 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170039 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170039 14.8115 [-(x+1)/(29*x-1) ogf] A170039 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170039 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170040 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170040 14.8844 [-(x+1)/(30*x-1) ogf] A170040 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170040 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170040 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170041 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170041 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170041 14.8844 [-(x+1)/(31*x-1) ogf] A170041 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170041 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170042 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170042 15.3952 [-(x+1)/(32*x-1) ogf] A170042 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170042 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170042 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170043 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170043 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170043 15.3952 [-(x+1)/(33*x-1) ogf] A170043 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170043 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170044 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170044 15.3952 [-(x+1)/(34*x-1) ogf] A170044 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170044 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170044 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170045 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170045 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170045 15.5411 [-(x+1)/(35*x-1) ogf] A170045 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170045 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170046 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170046 13.5403 [-(x+1)/(36*x-1) ogf] A170046 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170046 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170046 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170047 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170047 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170047 13.5403 [-(x+1)/(37*x-1) ogf] A170047 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170047 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170048 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170048 13.6828 [-(x+1)/(38*x-1) ogf] A170048 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170048 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170048 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170049 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170049 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170049 13.7541 [-(x+1)/(39*x-1) ogf] A170049 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170049 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170050 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170050 13.8966 [-(x+1)/(40*x-1) ogf] A170050 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170050 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170050 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170051 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170051 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170051 13.8966 [-(x+1)/(41*x-1) ogf] A170051 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170051 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170052 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170052 13.9678 [-(x+1)/(42*x-1) ogf] A170052 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170052 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170052 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170053 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170053 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170053 14.0391 [-(x+1)/(43*x-1) ogf] A170053 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170053 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170054 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170054 14.1816 [-(x+1)/(44*x-1) ogf] A170054 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170054 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170054 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170055 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170055 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170055 14.1816 [-(x+1)/(45*x-1) ogf] A170055 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170055 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170056 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170056 14.1816 [-(x+1)/(46*x-1) ogf] A170056 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170056 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170056 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170057 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170057 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170057 14.4667 [-(x+1)/(47*x-1) ogf] A170057 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170057 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170058 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170058 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170058 14.4667 [-(x+1)/(48*x-1) ogf] A170058 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170058 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170059 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170059 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170059 14.4667 [-(x+1)/(49*x-1) ogf] A170059 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170059 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170060 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170060 19.2957 [-(x+1)/(2*x-1) ogf] A170060 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170060 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170060 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170061 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170061 17.6994 [-(x+1)/(3*x-1) ogf] A170061 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170061 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170061 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170062 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170062 17.7799 [-(x+1)/(4*x-1) ogf] A170062 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170062 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170062 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170063 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170063 16.6248 [-(x+1)/(5*x-1) ogf] A170063 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170063 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170063 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170064 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170064 16.3746 [-(x+1)/(-1+6*x) ogf] A170064 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170064 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170064 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170065 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170065 15.7883 [-(x+1)/(7*x-1) ogf] A170065 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170065 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170065 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170066 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170066 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170066 16.5980 [-(x+1)/(8*x-1) ogf] A170066 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170066 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170067 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170067 15.5180 [-(x+1)/(9*x-1) ogf] A170067 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170067 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170067 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170068 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170068 14.6040 [-(x+1)/(10*x-1) ogf] A170068 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170068 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170068 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170069 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170069 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170069 14.6040 [-(x+1)/(11*x-1) ogf] A170069 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170069 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170070 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170070 13.1968 [-(x+1)/(12*x-1) ogf] A170070 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170070 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170070 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170071 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170071 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170071 13.4950 [-(x+1)/(13*x-1) ogf] A170071 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170071 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170072 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170072 13.8678 [-(x+1)/(14*x-1) ogf] A170072 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170072 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170072 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170073 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170073 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170073 14.0915 [-(x+1)/(15*x-1) ogf] A170073 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170073 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170074 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170074 14.4643 [-(x+1)/(16*x-1) ogf] A170074 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170074 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170074 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170075 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170075 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170075 14.6879 [-(x+1)/(17*x-1) ogf] A170075 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170075 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170076 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170076 13.0604 [-(x+1)/(18*x-1) ogf] A170076 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170076 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170076 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170077 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170077 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170077 13.2063 [-(x+1)/(19*x-1) ogf] A170077 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170077 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170078 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170078 13.4252 [-(x+1)/(20*x-1) ogf] A170078 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170078 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170078 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170079 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170079 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170079 13.4981 [-(x+1)/(21*x-1) ogf] A170079 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170079 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170080 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170080 13.8629 [-(x+1)/(22*x-1) ogf] A170080 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170080 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170080 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170081 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170081 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170081 13.9359 [-(x+1)/(23*x-1) ogf] A170081 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170081 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170082 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170082 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170082 14.0818 [-(x+1)/(24*x-1) ogf] A170082 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170082 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170083 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170083 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170083 14.2278 [-(x+1)/(25*x-1) ogf] A170083 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170083 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170084 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170084 14.3737 [-(x+1)/(26*x-1) ogf] A170084 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170084 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170084 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170085 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170085 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170085 14.5926 [-(x+1)/(27*x-1) ogf] A170085 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170085 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170086 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170086 14.6656 [-(x+1)/(28*x-1) ogf] A170086 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170086 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170086 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170087 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170087 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170087 14.8115 [-(x+1)/(29*x-1) ogf] A170087 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170087 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170088 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170088 14.8844 [-(x+1)/(30*x-1) ogf] A170088 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170088 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170088 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170089 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170089 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170089 14.8844 [-(x+1)/(31*x-1) ogf] A170089 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170089 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170090 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170090 15.3952 [-(x+1)/(32*x-1) ogf] A170090 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170090 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170090 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170091 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170091 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170091 15.3952 [-(x+1)/(33*x-1) ogf] A170091 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170091 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170092 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170092 15.3952 [-(x+1)/(34*x-1) ogf] A170092 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170092 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170092 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170093 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170093 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170093 15.5411 [-(x+1)/(35*x-1) ogf] A170093 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170093 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170094 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170094 13.5403 [-(x+1)/(36*x-1) ogf] A170094 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170094 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170094 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170095 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170095 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170095 13.5403 [-(x+1)/(37*x-1) ogf] A170095 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170095 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170096 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170096 13.6828 [-(x+1)/(38*x-1) ogf] A170096 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170096 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170096 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170097 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170097 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170097 13.7541 [-(x+1)/(39*x-1) ogf] A170097 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170097 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170098 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170098 13.8966 [-(x+1)/(40*x-1) ogf] A170098 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170098 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170098 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170099 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170099 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170099 13.8966 [-(x+1)/(41*x-1) ogf] A170099 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170099 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170100 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170100 13.9678 [-(x+1)/(42*x-1) ogf] A170100 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170100 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170100 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170101 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170101 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170101 14.0391 [-(x+1)/(43*x-1) ogf] A170101 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170101 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170102 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170102 14.1816 [-(x+1)/(44*x-1) ogf] A170102 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170102 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170102 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170103 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170103 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170103 14.1816 [-(x+1)/(45*x-1) ogf] A170103 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170103 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170104 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170104 14.1816 [-(x+1)/(46*x-1) ogf] A170104 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170104 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170104 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170105 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170105 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170105 14.4667 [-(x+1)/(47*x-1) ogf] A170105 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170105 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170106 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170106 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170106 14.4667 [-(x+1)/(48*x-1) ogf] A170106 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170106 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170107 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170107 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170107 14.4667 [-(x+1)/(49*x-1) ogf] A170107 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170107 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170108 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170108 19.2957 [-(x+1)/(2*x-1) ogf] A170108 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170108 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170108 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170109 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170109 17.6994 [-(x+1)/(3*x-1) ogf] A170109 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170109 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170109 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170110 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170110 17.7799 [-(x+1)/(4*x-1) ogf] A170110 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170110 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170110 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170111 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170111 16.6248 [-(x+1)/(5*x-1) ogf] A170111 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170111 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170111 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170112 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170112 16.3746 [-(x+1)/(-1+6*x) ogf] A170112 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170112 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170112 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170113 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170113 15.7883 [-(x+1)/(7*x-1) ogf] A170113 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170113 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170113 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170114 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170114 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170114 16.5980 [-(x+1)/(8*x-1) ogf] A170114 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170114 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170115 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170115 15.5180 [-(x+1)/(9*x-1) ogf] A170115 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170115 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170115 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170116 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170116 14.6040 [-(x+1)/(10*x-1) ogf] A170116 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170116 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170116 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170117 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170117 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170117 14.6040 [-(x+1)/(11*x-1) ogf] A170117 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170117 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170118 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170118 13.1968 [-(x+1)/(12*x-1) ogf] A170118 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170118 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170118 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170119 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170119 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170119 13.4950 [-(x+1)/(13*x-1) ogf] A170119 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170119 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170120 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170120 13.8678 [-(x+1)/(14*x-1) ogf] A170120 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170120 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170120 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170121 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170121 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170121 14.0915 [-(x+1)/(15*x-1) ogf] A170121 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170121 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170122 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170122 14.4643 [-(x+1)/(16*x-1) ogf] A170122 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170122 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170122 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170123 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170123 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170123 14.6879 [-(x+1)/(17*x-1) ogf] A170123 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170123 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170124 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170124 13.0604 [-(x+1)/(18*x-1) ogf] A170124 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170124 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170124 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170125 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170125 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170125 13.2063 [-(x+1)/(19*x-1) ogf] A170125 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170125 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170126 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170126 13.4252 [-(x+1)/(20*x-1) ogf] A170126 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170126 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170126 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170127 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170127 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170127 13.4981 [-(x+1)/(21*x-1) ogf] A170127 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170127 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170128 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170128 13.8629 [-(x+1)/(22*x-1) ogf] A170128 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170128 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170128 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170129 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170129 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170129 13.9359 [-(x+1)/(23*x-1) ogf] A170129 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170129 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170130 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170130 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170130 14.0818 [-(x+1)/(24*x-1) ogf] A170130 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170130 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170131 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170131 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170131 14.2278 [-(x+1)/(25*x-1) ogf] A170131 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170131 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170132 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170132 14.3737 [-(x+1)/(26*x-1) ogf] A170132 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170132 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170132 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170133 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170133 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170133 14.5926 [-(x+1)/(27*x-1) ogf] A170133 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170133 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170134 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170134 14.6656 [-(x+1)/(28*x-1) ogf] A170134 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170134 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170134 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170135 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170135 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170135 14.8115 [-(x+1)/(29*x-1) ogf] A170135 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170135 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170136 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170136 14.8844 [-(x+1)/(30*x-1) ogf] A170136 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170136 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170136 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170137 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170137 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170137 14.8844 [-(x+1)/(31*x-1) ogf] A170137 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170137 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170138 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170138 15.3952 [-(x+1)/(32*x-1) ogf] A170138 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170138 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170138 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170139 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170139 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170139 15.3952 [-(x+1)/(33*x-1) ogf] A170139 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170139 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170140 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170140 15.3952 [-(x+1)/(34*x-1) ogf] A170140 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170140 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170140 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170141 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170141 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170141 15.5411 [-(x+1)/(35*x-1) ogf] A170141 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170141 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170142 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170142 13.5403 [-(x+1)/(36*x-1) ogf] A170142 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170142 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170142 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170143 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170143 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170143 13.5403 [-(x+1)/(37*x-1) ogf] A170143 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170143 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170144 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170144 13.6828 [-(x+1)/(38*x-1) ogf] A170144 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170144 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170144 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170145 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170145 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170145 13.7541 [-(x+1)/(39*x-1) ogf] A170145 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170145 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170146 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170146 13.8966 [-(x+1)/(40*x-1) ogf] A170146 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170146 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170146 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170147 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170147 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170147 13.8966 [-(x+1)/(41*x-1) ogf] A170147 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170147 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170148 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170148 13.9678 [-(x+1)/(42*x-1) ogf] A170148 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170148 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170148 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170149 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170149 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170149 14.0391 [-(x+1)/(43*x-1) ogf] A170149 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170149 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170150 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170150 14.1816 [-(x+1)/(44*x-1) ogf] A170150 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170150 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170150 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170151 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170151 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170151 14.1816 [-(x+1)/(45*x-1) ogf] A170151 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170151 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170152 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170152 14.1816 [-(x+1)/(46*x-1) ogf] A170152 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170152 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170152 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170153 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170153 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170153 14.4667 [-(x+1)/(47*x-1) ogf] A170153 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170153 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170154 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170154 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170154 14.4667 [-(x+1)/(48*x-1) ogf] A170154 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170154 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170155 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170155 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170155 14.4667 [-(x+1)/(49*x-1) ogf] A170155 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170155 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170156 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170156 19.2957 [-(x+1)/(2*x-1) ogf] A170156 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170156 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170156 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170157 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170157 17.6994 [-(x+1)/(3*x-1) ogf] A170157 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170157 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170157 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170158 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170158 17.7799 [-(x+1)/(4*x-1) ogf] A170158 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170158 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170158 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170159 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170159 16.6248 [-(x+1)/(5*x-1) ogf] A170159 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170159 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170159 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170160 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170160 16.3746 [-(x+1)/(-1+6*x) ogf] A170160 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170160 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170160 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170161 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170161 15.7883 [-(x+1)/(7*x-1) ogf] A170161 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170161 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170161 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170162 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170162 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170162 16.5980 [-(x+1)/(8*x-1) ogf] A170162 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170162 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170163 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170163 15.5180 [-(x+1)/(9*x-1) ogf] A170163 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170163 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170163 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170164 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170164 14.6040 [-(x+1)/(10*x-1) ogf] A170164 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170164 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170164 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170165 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170165 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170165 14.6040 [-(x+1)/(11*x-1) ogf] A170165 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170165 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170166 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170166 13.1968 [-(x+1)/(12*x-1) ogf] A170166 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170166 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170166 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170167 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170167 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170167 13.4950 [-(x+1)/(13*x-1) ogf] A170167 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170167 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170168 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170168 13.8678 [-(x+1)/(14*x-1) ogf] A170168 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170168 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170168 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170169 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170169 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170169 14.0915 [-(x+1)/(15*x-1) ogf] A170169 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170169 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170170 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170170 14.4643 [-(x+1)/(16*x-1) ogf] A170170 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170170 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170170 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170171 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170171 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170171 14.6879 [-(x+1)/(17*x-1) ogf] A170171 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170171 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170172 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170172 13.0604 [-(x+1)/(18*x-1) ogf] A170172 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170172 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170172 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170173 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170173 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170173 13.2063 [-(x+1)/(19*x-1) ogf] A170173 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170173 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170174 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170174 13.4252 [-(x+1)/(20*x-1) ogf] A170174 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170174 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170174 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170175 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170175 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170175 13.4981 [-(x+1)/(21*x-1) ogf] A170175 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170175 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170176 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170176 13.8629 [-(x+1)/(22*x-1) ogf] A170176 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170176 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170176 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170177 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170177 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170177 13.9359 [-(x+1)/(23*x-1) ogf] A170177 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170177 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170178 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170178 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170178 14.0818 [-(x+1)/(24*x-1) ogf] A170178 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170178 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170179 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170179 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170179 14.2278 [-(x+1)/(25*x-1) ogf] A170179 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170179 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170180 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170180 14.3737 [-(x+1)/(26*x-1) ogf] A170180 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170180 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170180 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170181 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170181 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170181 14.5926 [-(x+1)/(27*x-1) ogf] A170181 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170181 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170182 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170182 14.6656 [-(x+1)/(28*x-1) ogf] A170182 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170182 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170182 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170183 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170183 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170183 14.8115 [-(x+1)/(29*x-1) ogf] A170183 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170183 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170184 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170184 14.8844 [-(x+1)/(30*x-1) ogf] A170184 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170184 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170184 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170185 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170185 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170185 14.8844 [-(x+1)/(31*x-1) ogf] A170185 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170185 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170186 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170186 15.3952 [-(x+1)/(32*x-1) ogf] A170186 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170186 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170186 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170187 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170187 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170187 15.3952 [-(x+1)/(33*x-1) ogf] A170187 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170187 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170188 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170188 15.3952 [-(x+1)/(34*x-1) ogf] A170188 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170188 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170188 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170189 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170189 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170189 15.5411 [-(x+1)/(35*x-1) ogf] A170189 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170189 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170190 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170190 13.5403 [-(x+1)/(36*x-1) ogf] A170190 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170190 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170190 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170191 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170191 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170191 13.5403 [-(x+1)/(37*x-1) ogf] A170191 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170191 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170192 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170192 13.6828 [-(x+1)/(38*x-1) ogf] A170192 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170192 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170192 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170193 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170193 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170193 13.7541 [-(x+1)/(39*x-1) ogf] A170193 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170193 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170194 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170194 13.8966 [-(x+1)/(40*x-1) ogf] A170194 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170194 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170194 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170195 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170195 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170195 13.8966 [-(x+1)/(41*x-1) ogf] A170195 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170195 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170196 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170196 13.9678 [-(x+1)/(42*x-1) ogf] A170196 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170196 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170196 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170197 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170197 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170197 14.0391 [-(x+1)/(43*x-1) ogf] A170197 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170197 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170198 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170198 14.1816 [-(x+1)/(44*x-1) ogf] A170198 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170198 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170198 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170199 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170199 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170199 14.1816 [-(x+1)/(45*x-1) ogf] A170199 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170199 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170200 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170200 14.1816 [-(x+1)/(46*x-1) ogf] A170200 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170200 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170200 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170201 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170201 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170201 14.4667 [-(x+1)/(47*x-1) ogf] A170201 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170201 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170202 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170202 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170202 14.4667 [-(x+1)/(48*x-1) ogf] A170202 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170202 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170203 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170203 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170203 14.4667 [-(x+1)/(49*x-1) ogf] A170203 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170203 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170204 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170204 19.2957 [-(x+1)/(2*x-1) ogf] A170204 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170204 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170204 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170205 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170205 17.6994 [-(x+1)/(3*x-1) ogf] A170205 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170205 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170205 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170206 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170206 17.7799 [-(x+1)/(4*x-1) ogf] A170206 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170206 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170206 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170207 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170207 16.6248 [-(x+1)/(5*x-1) ogf] A170207 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170207 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170207 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170208 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170208 16.3746 [-(x+1)/(-1+6*x) ogf] A170208 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170208 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170208 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170209 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170209 15.7883 [-(x+1)/(7*x-1) ogf] A170209 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170209 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170209 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170210 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170210 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170210 16.5980 [-(x+1)/(8*x-1) ogf] A170210 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170210 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170211 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170211 15.5180 [-(x+1)/(9*x-1) ogf] A170211 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170211 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170211 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170212 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170212 14.6040 [-(x+1)/(10*x-1) ogf] A170212 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170212 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170212 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170213 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170213 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170213 14.6040 [-(x+1)/(11*x-1) ogf] A170213 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170213 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170214 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170214 13.1968 [-(x+1)/(12*x-1) ogf] A170214 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170214 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170214 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170215 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170215 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170215 13.4950 [-(x+1)/(13*x-1) ogf] A170215 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170215 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170216 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170216 13.8678 [-(x+1)/(14*x-1) ogf] A170216 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170216 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170216 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170217 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170217 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170217 14.0915 [-(x+1)/(15*x-1) ogf] A170217 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170217 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170218 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170218 14.4643 [-(x+1)/(16*x-1) ogf] A170218 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170218 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170218 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170219 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170219 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170219 14.6879 [-(x+1)/(17*x-1) ogf] A170219 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170219 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170220 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170220 13.0604 [-(x+1)/(18*x-1) ogf] A170220 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170220 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170220 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170221 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170221 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170221 13.2063 [-(x+1)/(19*x-1) ogf] A170221 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170221 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170222 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170222 13.4252 [-(x+1)/(20*x-1) ogf] A170222 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170222 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170222 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170223 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170223 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170223 13.4981 [-(x+1)/(21*x-1) ogf] A170223 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170223 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170224 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170224 13.8629 [-(x+1)/(22*x-1) ogf] A170224 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170224 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170224 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170225 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170225 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170225 13.9359 [-(x+1)/(23*x-1) ogf] A170225 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170225 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170226 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170226 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170226 14.0818 [-(x+1)/(24*x-1) ogf] A170226 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170226 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170227 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170227 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170227 14.2278 [-(x+1)/(25*x-1) ogf] A170227 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170227 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170228 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170228 14.3737 [-(x+1)/(26*x-1) ogf] A170228 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170228 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170228 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170229 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170229 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170229 14.5926 [-(x+1)/(27*x-1) ogf] A170229 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170229 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170230 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170230 14.6656 [-(x+1)/(28*x-1) ogf] A170230 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170230 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170230 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170231 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170231 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170231 14.8115 [-(x+1)/(29*x-1) ogf] A170231 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170231 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170232 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170232 14.8844 [-(x+1)/(30*x-1) ogf] A170232 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170232 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170232 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170233 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170233 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170233 14.8844 [-(x+1)/(31*x-1) ogf] A170233 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170233 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170234 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170234 15.3952 [-(x+1)/(32*x-1) ogf] A170234 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170234 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170234 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170235 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170235 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170235 15.3952 [-(x+1)/(33*x-1) ogf] A170235 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170235 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170236 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170236 15.3952 [-(x+1)/(34*x-1) ogf] A170236 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170236 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170236 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170237 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170237 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170237 15.5411 [-(x+1)/(35*x-1) ogf] A170237 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170237 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170238 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170238 13.5403 [-(x+1)/(36*x-1) ogf] A170238 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170238 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170238 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170239 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170239 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170239 13.5403 [-(x+1)/(37*x-1) ogf] A170239 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170239 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170240 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170240 13.6828 [-(x+1)/(38*x-1) ogf] A170240 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170240 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170240 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170241 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170241 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170241 13.7541 [-(x+1)/(39*x-1) ogf] A170241 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170241 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170242 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170242 13.8966 [-(x+1)/(40*x-1) ogf] A170242 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170242 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170242 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170243 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170243 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170243 13.8966 [-(x+1)/(41*x-1) ogf] A170243 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170243 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170244 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170244 13.9678 [-(x+1)/(42*x-1) ogf] A170244 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170244 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170244 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170245 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170245 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170245 14.0391 [-(x+1)/(43*x-1) ogf] A170245 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170245 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170246 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170246 14.1816 [-(x+1)/(44*x-1) ogf] A170246 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170246 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170246 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170247 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170247 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170247 14.1816 [-(x+1)/(45*x-1) ogf] A170247 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170247 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170248 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170248 14.1816 [-(x+1)/(46*x-1) ogf] A170248 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170248 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170248 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170249 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170249 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170249 14.4667 [-(x+1)/(47*x-1) ogf] A170249 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170249 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170250 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170250 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170250 14.4667 [-(x+1)/(48*x-1) ogf] A170250 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170250 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170251 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170251 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170251 14.4667 [-(x+1)/(49*x-1) ogf] A170251 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170251 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170252 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170252 19.2957 [-(x+1)/(2*x-1) ogf] A170252 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170252 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170252 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170253 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170253 17.6994 [-(x+1)/(3*x-1) ogf] A170253 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170253 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170253 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170254 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170254 17.7799 [-(x+1)/(4*x-1) ogf] A170254 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170254 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170254 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170255 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170255 16.6248 [-(x+1)/(5*x-1) ogf] A170255 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170255 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170255 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170256 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170256 16.3746 [-(x+1)/(-1+6*x) ogf] A170256 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170256 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170256 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170257 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170257 15.7883 [-(x+1)/(7*x-1) ogf] A170257 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170257 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170257 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170258 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170258 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170258 16.5980 [-(x+1)/(8*x-1) ogf] A170258 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170258 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170259 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170259 15.5180 [-(x+1)/(9*x-1) ogf] A170259 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170259 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170259 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170260 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170260 14.6040 [-(x+1)/(10*x-1) ogf] A170260 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170260 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170260 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170261 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170261 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170261 14.6040 [-(x+1)/(11*x-1) ogf] A170261 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170261 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170262 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170262 13.1968 [-(x+1)/(12*x-1) ogf] A170262 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170262 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170262 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170263 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170263 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170263 13.4950 [-(x+1)/(13*x-1) ogf] A170263 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170263 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170264 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170264 13.8678 [-(x+1)/(14*x-1) ogf] A170264 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170264 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170264 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170265 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170265 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170265 14.0915 [-(x+1)/(15*x-1) ogf] A170265 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170265 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170266 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170266 14.4643 [-(x+1)/(16*x-1) ogf] A170266 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170266 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170266 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170267 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170267 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170267 14.6879 [-(x+1)/(17*x-1) ogf] A170267 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170267 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170268 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170268 13.0604 [-(x+1)/(18*x-1) ogf] A170268 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170268 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170268 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170269 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170269 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170269 13.2063 [-(x+1)/(19*x-1) ogf] A170269 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170269 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170270 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170270 13.4252 [-(x+1)/(20*x-1) ogf] A170270 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170270 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170270 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170271 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170271 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170271 13.4981 [-(x+1)/(21*x-1) ogf] A170271 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170271 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170272 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170272 13.8629 [-(x+1)/(22*x-1) ogf] A170272 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170272 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170272 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170273 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170273 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170273 13.9359 [-(x+1)/(23*x-1) ogf] A170273 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170273 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170274 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170274 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170274 14.0818 [-(x+1)/(24*x-1) ogf] A170274 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170274 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170275 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170275 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170275 14.2278 [-(x+1)/(25*x-1) ogf] A170275 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170275 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170276 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170276 14.3737 [-(x+1)/(26*x-1) ogf] A170276 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170276 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170276 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170277 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170277 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170277 14.5926 [-(x+1)/(27*x-1) ogf] A170277 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170277 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170278 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170278 14.6656 [-(x+1)/(28*x-1) ogf] A170278 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170278 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170278 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170279 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170279 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170279 14.8115 [-(x+1)/(29*x-1) ogf] A170279 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170279 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170280 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170280 14.8844 [-(x+1)/(30*x-1) ogf] A170280 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170280 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170280 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170281 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170281 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170281 14.8844 [-(x+1)/(31*x-1) ogf] A170281 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170281 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170282 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170282 15.3952 [-(x+1)/(32*x-1) ogf] A170282 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170282 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170282 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170283 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170283 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170283 15.3952 [-(x+1)/(33*x-1) ogf] A170283 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170283 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170284 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170284 15.3952 [-(x+1)/(34*x-1) ogf] A170284 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170284 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170284 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170285 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170285 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170285 15.5411 [-(x+1)/(35*x-1) ogf] A170285 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170285 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170286 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170286 13.5403 [-(x+1)/(36*x-1) ogf] A170286 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170286 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170286 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170287 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170287 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170287 13.5403 [-(x+1)/(37*x-1) ogf] A170287 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170287 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170288 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170288 13.6828 [-(x+1)/(38*x-1) ogf] A170288 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170288 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170288 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170289 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170289 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170289 13.7541 [-(x+1)/(39*x-1) ogf] A170289 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170289 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170290 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170290 13.8966 [-(x+1)/(40*x-1) ogf] A170290 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170290 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170290 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170291 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170291 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170291 13.8966 [-(x+1)/(41*x-1) ogf] A170291 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170291 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170292 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170292 13.9678 [-(x+1)/(42*x-1) ogf] A170292 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170292 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170292 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170293 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170293 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170293 14.0391 [-(x+1)/(43*x-1) ogf] A170293 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170293 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170294 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170294 14.1816 [-(x+1)/(44*x-1) ogf] A170294 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170294 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170294 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170295 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170295 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170295 14.1816 [-(x+1)/(45*x-1) ogf] A170295 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170295 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170296 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170296 14.1816 [-(x+1)/(46*x-1) ogf] A170296 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170296 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170296 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170297 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170297 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170297 14.4667 [-(x+1)/(47*x-1) ogf] A170297 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170297 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170298 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170298 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170298 14.4667 [-(x+1)/(48*x-1) ogf] A170298 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170298 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170299 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170299 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170299 14.4667 [-(x+1)/(49*x-1) ogf] A170299 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170299 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170300 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170300 19.2957 [-(x+1)/(2*x-1) ogf] A170300 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170300 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170300 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170301 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170301 17.6994 [-(x+1)/(3*x-1) ogf] A170301 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170301 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170301 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170302 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170302 17.7799 [-(x+1)/(4*x-1) ogf] A170302 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170302 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170302 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170303 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170303 16.6248 [-(x+1)/(5*x-1) ogf] A170303 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170303 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170303 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170304 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170304 16.3746 [-(x+1)/(-1+6*x) ogf] A170304 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170304 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170304 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170305 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170305 15.7883 [-(x+1)/(7*x-1) ogf] A170305 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170305 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170305 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170306 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170306 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170306 16.5980 [-(x+1)/(8*x-1) ogf] A170306 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170306 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170307 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170307 15.5180 [-(x+1)/(9*x-1) ogf] A170307 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170307 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170307 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170308 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170308 14.6040 [-(x+1)/(10*x-1) ogf] A170308 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170308 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170308 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170309 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170309 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170309 14.6040 [-(x+1)/(11*x-1) ogf] A170309 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170309 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170310 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170310 13.1968 [-(x+1)/(12*x-1) ogf] A170310 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170310 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170310 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170311 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170311 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170311 13.4950 [-(x+1)/(13*x-1) ogf] A170311 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170311 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170312 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170312 13.8678 [-(x+1)/(14*x-1) ogf] A170312 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170312 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170312 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170313 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170313 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170313 14.0915 [-(x+1)/(15*x-1) ogf] A170313 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170313 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170314 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170314 14.4643 [-(x+1)/(16*x-1) ogf] A170314 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170314 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170314 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170315 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170315 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170315 14.6879 [-(x+1)/(17*x-1) ogf] A170315 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170315 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170316 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170316 13.0604 [-(x+1)/(18*x-1) ogf] A170316 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170316 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170316 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170317 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170317 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170317 13.2063 [-(x+1)/(19*x-1) ogf] A170317 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170317 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170318 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170318 13.4252 [-(x+1)/(20*x-1) ogf] A170318 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170318 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170318 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170319 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170319 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170319 13.4981 [-(x+1)/(21*x-1) ogf] A170319 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170319 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170320 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170320 13.8629 [-(x+1)/(22*x-1) ogf] A170320 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170320 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170320 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170321 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170321 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170321 13.9359 [-(x+1)/(23*x-1) ogf] A170321 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170321 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170322 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170322 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170322 14.0818 [-(x+1)/(24*x-1) ogf] A170322 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170322 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170323 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170323 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170323 14.2278 [-(x+1)/(25*x-1) ogf] A170323 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170323 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170324 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170324 14.3737 [-(x+1)/(26*x-1) ogf] A170324 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170324 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170324 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170325 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170325 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170325 14.5926 [-(x+1)/(27*x-1) ogf] A170325 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170325 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170326 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170326 14.6656 [-(x+1)/(28*x-1) ogf] A170326 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170326 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170326 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170327 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170327 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170327 14.8115 [-(x+1)/(29*x-1) ogf] A170327 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170327 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170328 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170328 14.8844 [-(x+1)/(30*x-1) ogf] A170328 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170328 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170328 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170329 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170329 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170329 14.8844 [-(x+1)/(31*x-1) ogf] A170329 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170329 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170330 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170330 15.3952 [-(x+1)/(32*x-1) ogf] A170330 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170330 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170330 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170331 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170331 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170331 15.3952 [-(x+1)/(33*x-1) ogf] A170331 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170331 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170332 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170332 15.3952 [-(x+1)/(34*x-1) ogf] A170332 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170332 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170332 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170333 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170333 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170333 15.5411 [-(x+1)/(35*x-1) ogf] A170333 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170333 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170334 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170334 13.5403 [-(x+1)/(36*x-1) ogf] A170334 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170334 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170334 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170335 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170335 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170335 13.5403 [-(x+1)/(37*x-1) ogf] A170335 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170335 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170336 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170336 13.6828 [-(x+1)/(38*x-1) ogf] A170336 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170336 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170336 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170337 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170337 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170337 13.7541 [-(x+1)/(39*x-1) ogf] A170337 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170337 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170338 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170338 13.8966 [-(x+1)/(40*x-1) ogf] A170338 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170338 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170338 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170339 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170339 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170339 13.8966 [-(x+1)/(41*x-1) ogf] A170339 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170339 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170340 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170340 13.9678 [-(x+1)/(42*x-1) ogf] A170340 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170340 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170340 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170341 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170341 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170341 14.0391 [-(x+1)/(43*x-1) ogf] A170341 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170341 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170342 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170342 14.1816 [-(x+1)/(44*x-1) ogf] A170342 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170342 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170342 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170343 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170343 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170343 14.1816 [-(x+1)/(45*x-1) ogf] A170343 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170343 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170344 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170344 14.1816 [-(x+1)/(46*x-1) ogf] A170344 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170344 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170344 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170345 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170345 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170345 14.4667 [-(x+1)/(47*x-1) ogf] A170345 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170345 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170346 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170346 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170346 14.4667 [-(x+1)/(48*x-1) ogf] A170346 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170346 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170347 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170347 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170347 14.4667 [-(x+1)/(49*x-1) ogf] A170347 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170347 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170348 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170348 19.2957 [-(x+1)/(2*x-1) ogf] A170348 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170348 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170348 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170349 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170349 17.6994 [-(x+1)/(3*x-1) ogf] A170349 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170349 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170349 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170350 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170350 17.7799 [-(x+1)/(4*x-1) ogf] A170350 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170350 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170350 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170351 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170351 16.6248 [-(x+1)/(5*x-1) ogf] A170351 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170351 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170351 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170352 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170352 16.3746 [-(x+1)/(-1+6*x) ogf] A170352 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170352 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170352 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170353 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170353 15.7883 [-(x+1)/(7*x-1) ogf] A170353 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170353 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170353 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170354 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170354 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170354 16.5980 [-(x+1)/(8*x-1) ogf] A170354 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170354 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170355 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170355 15.5180 [-(x+1)/(9*x-1) ogf] A170355 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170355 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170355 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170356 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170356 14.6040 [-(x+1)/(10*x-1) ogf] A170356 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170356 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170356 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170357 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170357 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170357 14.6040 [-(x+1)/(11*x-1) ogf] A170357 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170357 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170358 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170358 13.1968 [-(x+1)/(12*x-1) ogf] A170358 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170358 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170358 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170359 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170359 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170359 13.4950 [-(x+1)/(13*x-1) ogf] A170359 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170359 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170360 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170360 13.8678 [-(x+1)/(14*x-1) ogf] A170360 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170360 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170360 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170361 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170361 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170361 14.0915 [-(x+1)/(15*x-1) ogf] A170361 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170361 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170362 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170362 14.4643 [-(x+1)/(16*x-1) ogf] A170362 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170362 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170362 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170363 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170363 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170363 14.6879 [-(x+1)/(17*x-1) ogf] A170363 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170363 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170364 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170364 13.0604 [-(x+1)/(18*x-1) ogf] A170364 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170364 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170364 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170365 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170365 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170365 13.2063 [-(x+1)/(19*x-1) ogf] A170365 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170365 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170366 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170366 13.4252 [-(x+1)/(20*x-1) ogf] A170366 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170366 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170366 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170367 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170367 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170367 13.4981 [-(x+1)/(21*x-1) ogf] A170367 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170367 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170368 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170368 13.8629 [-(x+1)/(22*x-1) ogf] A170368 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170368 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170368 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170369 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170369 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170369 13.9359 [-(x+1)/(23*x-1) ogf] A170369 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170369 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170370 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170370 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170370 14.0818 [-(x+1)/(24*x-1) ogf] A170370 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170370 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170371 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170371 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170371 14.2278 [-(x+1)/(25*x-1) ogf] A170371 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170371 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170372 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170372 14.3737 [-(x+1)/(26*x-1) ogf] A170372 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170372 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170372 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170373 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170373 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170373 14.5926 [-(x+1)/(27*x-1) ogf] A170373 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170373 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170374 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170374 14.6656 [-(x+1)/(28*x-1) ogf] A170374 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170374 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170374 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170375 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170375 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170375 14.8115 [-(x+1)/(29*x-1) ogf] A170375 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170375 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170376 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170376 14.8844 [-(x+1)/(30*x-1) ogf] A170376 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170376 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170376 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170377 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170377 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170377 14.8844 [-(x+1)/(31*x-1) ogf] A170377 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170377 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170378 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170378 15.3952 [-(x+1)/(32*x-1) ogf] A170378 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170378 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170378 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170379 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170379 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170379 15.3952 [-(x+1)/(33*x-1) ogf] A170379 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170379 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170380 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170380 15.3952 [-(x+1)/(34*x-1) ogf] A170380 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170380 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170380 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170381 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170381 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170381 15.5411 [-(x+1)/(35*x-1) ogf] A170381 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170381 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170382 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170382 13.5403 [-(x+1)/(36*x-1) ogf] A170382 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170382 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170382 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170383 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170383 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170383 13.5403 [-(x+1)/(37*x-1) ogf] A170383 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170383 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170384 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170384 13.6828 [-(x+1)/(38*x-1) ogf] A170384 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170384 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170384 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170385 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170385 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170385 13.7541 [-(x+1)/(39*x-1) ogf] A170385 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170385 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170386 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170386 13.8966 [-(x+1)/(40*x-1) ogf] A170386 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170386 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170386 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170387 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170387 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170387 13.8966 [-(x+1)/(41*x-1) ogf] A170387 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170387 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170388 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170388 13.9678 [-(x+1)/(42*x-1) ogf] A170388 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170388 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170388 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170389 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170389 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170389 14.0391 [-(x+1)/(43*x-1) ogf] A170389 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170389 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170390 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170390 14.1816 [-(x+1)/(44*x-1) ogf] A170390 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170390 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170390 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170391 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170391 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170391 14.1816 [-(x+1)/(45*x-1) ogf] A170391 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170391 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170392 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170392 14.1816 [-(x+1)/(46*x-1) ogf] A170392 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170392 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170392 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170393 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170393 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170393 14.4667 [-(x+1)/(47*x-1) ogf] A170393 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170393 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170394 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170394 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170394 14.4667 [-(x+1)/(48*x-1) ogf] A170394 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170394 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170395 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170395 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170395 14.4667 [-(x+1)/(49*x-1) ogf] A170395 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170395 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170396 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170396 19.2957 [-(x+1)/(2*x-1) ogf] A170396 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170396 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170396 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170397 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170397 17.6994 [-(x+1)/(3*x-1) ogf] A170397 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170397 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170397 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170398 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170398 17.7799 [-(x+1)/(4*x-1) ogf] A170398 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170398 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170398 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170399 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170399 16.6248 [-(x+1)/(5*x-1) ogf] A170399 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170399 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170399 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170400 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170400 16.3746 [-(x+1)/(-1+6*x) ogf] A170400 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170400 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170400 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170401 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170401 15.7883 [-(x+1)/(7*x-1) ogf] A170401 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170401 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170401 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170402 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170402 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170402 16.5980 [-(x+1)/(8*x-1) ogf] A170402 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170402 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170403 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170403 15.5180 [-(x+1)/(9*x-1) ogf] A170403 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170403 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170403 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170404 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170404 14.6040 [-(x+1)/(10*x-1) ogf] A170404 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170404 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170404 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170405 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170405 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170405 14.6040 [-(x+1)/(11*x-1) ogf] A170405 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170405 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170406 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170406 13.1968 [-(x+1)/(12*x-1) ogf] A170406 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170406 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170406 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170407 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170407 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170407 13.4950 [-(x+1)/(13*x-1) ogf] A170407 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170407 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170408 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170408 13.8678 [-(x+1)/(14*x-1) ogf] A170408 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170408 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170408 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170409 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170409 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170409 14.0915 [-(x+1)/(15*x-1) ogf] A170409 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170409 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170410 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170410 14.4643 [-(x+1)/(16*x-1) ogf] A170410 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170410 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170410 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170411 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170411 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170411 14.6879 [-(x+1)/(17*x-1) ogf] A170411 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170411 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170412 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170412 13.0604 [-(x+1)/(18*x-1) ogf] A170412 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170412 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170412 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170413 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170413 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170413 13.2063 [-(x+1)/(19*x-1) ogf] A170413 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170413 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170414 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170414 13.4252 [-(x+1)/(20*x-1) ogf] A170414 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170414 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170414 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170415 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170415 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170415 13.4981 [-(x+1)/(21*x-1) ogf] A170415 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170415 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170416 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170416 13.8629 [-(x+1)/(22*x-1) ogf] A170416 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170416 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170416 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170417 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170417 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170417 13.9359 [-(x+1)/(23*x-1) ogf] A170417 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170417 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170418 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170418 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170418 14.0818 [-(x+1)/(24*x-1) ogf] A170418 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170418 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170419 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170419 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170419 14.2278 [-(x+1)/(25*x-1) ogf] A170419 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170419 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170420 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170420 14.3737 [-(x+1)/(26*x-1) ogf] A170420 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170420 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170420 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170421 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170421 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170421 14.5926 [-(x+1)/(27*x-1) ogf] A170421 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170421 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170422 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170422 14.6656 [-(x+1)/(28*x-1) ogf] A170422 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170422 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170422 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170423 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170423 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170423 14.8115 [-(x+1)/(29*x-1) ogf] A170423 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170423 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170424 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170424 14.8844 [-(x+1)/(30*x-1) ogf] A170424 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170424 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170424 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170425 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170425 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170425 14.8844 [-(x+1)/(31*x-1) ogf] A170425 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170425 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170426 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170426 15.3952 [-(x+1)/(32*x-1) ogf] A170426 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170426 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170426 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170427 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170427 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170427 15.3952 [-(x+1)/(33*x-1) ogf] A170427 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170427 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170428 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170428 15.3952 [-(x+1)/(34*x-1) ogf] A170428 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170428 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170428 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170429 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170429 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170429 15.5411 [-(x+1)/(35*x-1) ogf] A170429 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170429 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170430 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170430 13.5403 [-(x+1)/(36*x-1) ogf] A170430 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170430 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170430 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170431 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170431 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170431 13.5403 [-(x+1)/(37*x-1) ogf] A170431 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170431 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170432 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170432 13.6828 [-(x+1)/(38*x-1) ogf] A170432 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170432 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170432 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170433 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170433 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170433 13.7541 [-(x+1)/(39*x-1) ogf] A170433 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170433 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170434 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170434 13.8966 [-(x+1)/(40*x-1) ogf] A170434 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170434 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170434 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170435 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170435 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170435 13.8966 [-(x+1)/(41*x-1) ogf] A170435 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170435 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170436 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170436 13.9678 [-(x+1)/(42*x-1) ogf] A170436 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170436 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170436 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170437 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170437 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170437 14.0391 [-(x+1)/(43*x-1) ogf] A170437 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170437 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170438 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170438 14.1816 [-(x+1)/(44*x-1) ogf] A170438 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170438 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170438 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170439 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170439 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170439 14.1816 [-(x+1)/(45*x-1) ogf] A170439 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170439 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170440 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170440 14.1816 [-(x+1)/(46*x-1) ogf] A170440 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170440 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170440 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170441 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170441 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170441 14.4667 [-(x+1)/(47*x-1) ogf] A170441 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170441 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170442 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170442 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170442 14.4667 [-(x+1)/(48*x-1) ogf] A170442 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170442 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170443 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170443 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170443 14.4667 [-(x+1)/(49*x-1) ogf] A170443 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170443 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170444 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170444 19.2957 [-(x+1)/(2*x-1) ogf] A170444 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170444 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170444 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170445 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170445 17.6994 [-(x+1)/(3*x-1) ogf] A170445 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170445 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170445 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170446 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170446 17.7799 [-(x+1)/(4*x-1) ogf] A170446 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170446 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170446 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170447 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170447 16.6248 [-(x+1)/(5*x-1) ogf] A170447 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170447 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170447 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170448 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170448 16.3746 [-(x+1)/(-1+6*x) ogf] A170448 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170448 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170448 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170449 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170449 15.7883 [-(x+1)/(7*x-1) ogf] A170449 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170449 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170449 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170450 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170450 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170450 16.5980 [-(x+1)/(8*x-1) ogf] A170450 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170450 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170451 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170451 15.5180 [-(x+1)/(9*x-1) ogf] A170451 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170451 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170451 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170452 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170452 14.6040 [-(x+1)/(10*x-1) ogf] A170452 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170452 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170452 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170453 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170453 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170453 14.6040 [-(x+1)/(11*x-1) ogf] A170453 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170453 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170454 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170454 13.1968 [-(x+1)/(12*x-1) ogf] A170454 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170454 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170454 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170455 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170455 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170455 13.4950 [-(x+1)/(13*x-1) ogf] A170455 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170455 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170456 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170456 13.8678 [-(x+1)/(14*x-1) ogf] A170456 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170456 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170456 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170457 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170457 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170457 14.0915 [-(x+1)/(15*x-1) ogf] A170457 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170457 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170458 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170458 14.4643 [-(x+1)/(16*x-1) ogf] A170458 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170458 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170458 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170459 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170459 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170459 14.6879 [-(x+1)/(17*x-1) ogf] A170459 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170459 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170460 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170460 13.0604 [-(x+1)/(18*x-1) ogf] A170460 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170460 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170460 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170461 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170461 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170461 13.2063 [-(x+1)/(19*x-1) ogf] A170461 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170461 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170462 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170462 13.4252 [-(x+1)/(20*x-1) ogf] A170462 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170462 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170462 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170463 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170463 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170463 13.4981 [-(x+1)/(21*x-1) ogf] A170463 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170463 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170464 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170464 13.8629 [-(x+1)/(22*x-1) ogf] A170464 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170464 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170464 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170465 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170465 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170465 13.9359 [-(x+1)/(23*x-1) ogf] A170465 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170465 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170466 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170466 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170466 14.0818 [-(x+1)/(24*x-1) ogf] A170466 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170466 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170467 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170467 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170467 14.2278 [-(x+1)/(25*x-1) ogf] A170467 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170467 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170468 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170468 14.3737 [-(x+1)/(26*x-1) ogf] A170468 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170468 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170468 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170469 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170469 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170469 14.5926 [-(x+1)/(27*x-1) ogf] A170469 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170469 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170470 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170470 14.6656 [-(x+1)/(28*x-1) ogf] A170470 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170470 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170470 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170471 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170471 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170471 14.8115 [-(x+1)/(29*x-1) ogf] A170471 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170471 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170472 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170472 14.8844 [-(x+1)/(30*x-1) ogf] A170472 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170472 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170472 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170473 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170473 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170473 14.8844 [-(x+1)/(31*x-1) ogf] A170473 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170473 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170474 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170474 15.3952 [-(x+1)/(32*x-1) ogf] A170474 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170474 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170474 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170475 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170475 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170475 15.3952 [-(x+1)/(33*x-1) ogf] A170475 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170475 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170476 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170476 15.3952 [-(x+1)/(34*x-1) ogf] A170476 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170476 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170476 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170477 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170477 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170477 15.5411 [-(x+1)/(35*x-1) ogf] A170477 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170477 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170478 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170478 13.5403 [-(x+1)/(36*x-1) ogf] A170478 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170478 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170478 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170479 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170479 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170479 13.5403 [-(x+1)/(37*x-1) ogf] A170479 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170479 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170480 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170480 13.6828 [-(x+1)/(38*x-1) ogf] A170480 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170480 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170480 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170481 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170481 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170481 13.7541 [-(x+1)/(39*x-1) ogf] A170481 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170481 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170482 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170482 13.8966 [-(x+1)/(40*x-1) ogf] A170482 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170482 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170482 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170483 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170483 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170483 13.8966 [-(x+1)/(41*x-1) ogf] A170483 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170483 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170484 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170484 13.9678 [-(x+1)/(42*x-1) ogf] A170484 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170484 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170484 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170485 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170485 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170485 14.0391 [-(x+1)/(43*x-1) ogf] A170485 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170485 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170486 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170486 14.1816 [-(x+1)/(44*x-1) ogf] A170486 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170486 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170486 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170487 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170487 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170487 14.1816 [-(x+1)/(45*x-1) ogf] A170487 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170487 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170488 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170488 14.1816 [-(x+1)/(46*x-1) ogf] A170488 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170488 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170488 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170489 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170489 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170489 14.4667 [-(x+1)/(47*x-1) ogf] A170489 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170489 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170490 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170490 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170490 14.4667 [-(x+1)/(48*x-1) ogf] A170490 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170490 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170491 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170491 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170491 14.4667 [-(x+1)/(49*x-1) ogf] A170491 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170491 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170492 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170492 19.2957 [-(x+1)/(2*x-1) ogf] A170492 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170492 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170492 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170493 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170493 17.6994 [-(x+1)/(3*x-1) ogf] A170493 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170493 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170493 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170494 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170494 17.7799 [-(x+1)/(4*x-1) ogf] A170494 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170494 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170494 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170495 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170495 16.6248 [-(x+1)/(5*x-1) ogf] A170495 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170495 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170495 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170496 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170496 16.3746 [-(x+1)/(-1+6*x) ogf] A170496 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170496 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170496 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170497 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170497 15.7883 [-(x+1)/(7*x-1) ogf] A170497 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170497 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170497 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170498 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170498 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170498 16.5980 [-(x+1)/(8*x-1) ogf] A170498 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170498 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170499 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170499 15.5180 [-(x+1)/(9*x-1) ogf] A170499 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170499 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170499 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170500 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170500 14.6040 [-(x+1)/(10*x-1) ogf] A170500 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170500 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170500 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170501 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170501 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170501 14.6040 [-(x+1)/(11*x-1) ogf] A170501 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170501 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170502 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170502 13.1968 [-(x+1)/(12*x-1) ogf] A170502 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170502 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170502 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170503 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170503 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170503 13.4950 [-(x+1)/(13*x-1) ogf] A170503 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170503 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170504 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170504 13.8678 [-(x+1)/(14*x-1) ogf] A170504 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170504 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170504 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170505 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170505 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170505 14.0915 [-(x+1)/(15*x-1) ogf] A170505 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170505 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170506 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170506 14.4643 [-(x+1)/(16*x-1) ogf] A170506 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170506 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170506 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170507 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170507 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170507 14.6879 [-(x+1)/(17*x-1) ogf] A170507 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170507 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170508 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170508 13.0604 [-(x+1)/(18*x-1) ogf] A170508 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170508 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170508 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170509 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170509 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170509 13.2063 [-(x+1)/(19*x-1) ogf] A170509 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170509 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170510 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170510 13.4252 [-(x+1)/(20*x-1) ogf] A170510 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170510 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170510 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170511 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170511 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170511 13.4981 [-(x+1)/(21*x-1) ogf] A170511 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170511 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170512 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170512 13.8629 [-(x+1)/(22*x-1) ogf] A170512 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170512 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170512 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170513 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170513 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170513 13.9359 [-(x+1)/(23*x-1) ogf] A170513 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170513 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170514 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170514 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170514 14.0818 [-(x+1)/(24*x-1) ogf] A170514 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170514 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170515 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170515 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170515 14.2278 [-(x+1)/(25*x-1) ogf] A170515 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170515 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170516 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170516 14.3737 [-(x+1)/(26*x-1) ogf] A170516 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170516 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170516 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170517 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170517 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170517 14.5926 [-(x+1)/(27*x-1) ogf] A170517 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170517 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170518 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170518 14.6656 [-(x+1)/(28*x-1) ogf] A170518 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170518 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170518 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170519 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170519 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170519 14.8115 [-(x+1)/(29*x-1) ogf] A170519 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170519 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170520 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170520 14.8844 [-(x+1)/(30*x-1) ogf] A170520 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170520 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170520 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170521 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170521 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170521 14.8844 [-(x+1)/(31*x-1) ogf] A170521 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170521 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170522 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170522 15.3952 [-(x+1)/(32*x-1) ogf] A170522 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170522 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170522 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170523 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170523 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170523 15.3952 [-(x+1)/(33*x-1) ogf] A170523 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170523 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170524 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170524 15.3952 [-(x+1)/(34*x-1) ogf] A170524 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170524 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170524 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170525 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170525 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170525 15.5411 [-(x+1)/(35*x-1) ogf] A170525 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170525 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170526 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170526 13.5403 [-(x+1)/(36*x-1) ogf] A170526 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170526 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170526 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170527 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170527 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170527 13.5403 [-(x+1)/(37*x-1) ogf] A170527 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170527 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170528 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170528 13.6828 [-(x+1)/(38*x-1) ogf] A170528 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170528 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170528 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170529 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170529 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170529 13.7541 [-(x+1)/(39*x-1) ogf] A170529 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170529 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170530 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170530 13.8966 [-(x+1)/(40*x-1) ogf] A170530 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170530 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170530 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170531 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170531 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170531 13.8966 [-(x+1)/(41*x-1) ogf] A170531 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170531 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170532 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170532 13.9678 [-(x+1)/(42*x-1) ogf] A170532 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170532 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170532 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170533 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170533 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170533 14.0391 [-(x+1)/(43*x-1) ogf] A170533 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170533 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170534 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170534 14.1816 [-(x+1)/(44*x-1) ogf] A170534 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170534 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170534 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170535 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170535 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170535 14.1816 [-(x+1)/(45*x-1) ogf] A170535 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170535 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170536 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170536 14.1816 [-(x+1)/(46*x-1) ogf] A170536 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170536 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170536 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170537 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170537 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170537 14.4667 [-(x+1)/(47*x-1) ogf] A170537 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170537 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170538 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170538 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170538 14.4667 [-(x+1)/(48*x-1) ogf] A170538 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170538 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170539 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170539 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170539 14.4667 [-(x+1)/(49*x-1) ogf] A170539 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170539 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170540 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170540 19.2957 [-(x+1)/(2*x-1) ogf] A170540 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170540 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170540 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170541 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170541 17.6994 [-(x+1)/(3*x-1) ogf] A170541 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170541 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170541 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170542 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170542 17.7799 [-(x+1)/(4*x-1) ogf] A170542 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170542 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170542 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170543 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170543 16.6248 [-(x+1)/(5*x-1) ogf] A170543 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170543 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170543 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170544 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170544 16.3746 [-(x+1)/(-1+6*x) ogf] A170544 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170544 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170544 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170545 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170545 15.7883 [-(x+1)/(7*x-1) ogf] A170545 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170545 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170545 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170546 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170546 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170546 16.5980 [-(x+1)/(8*x-1) ogf] A170546 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170546 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170547 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170547 15.5180 [-(x+1)/(9*x-1) ogf] A170547 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170547 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170547 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170548 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170548 14.6040 [-(x+1)/(10*x-1) ogf] A170548 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170548 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170548 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170549 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170549 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170549 14.6040 [-(x+1)/(11*x-1) ogf] A170549 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170549 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170550 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170550 13.1968 [-(x+1)/(12*x-1) ogf] A170550 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170550 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170550 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170551 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170551 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170551 13.4950 [-(x+1)/(13*x-1) ogf] A170551 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170551 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170552 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170552 13.8678 [-(x+1)/(14*x-1) ogf] A170552 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170552 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170552 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170553 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170553 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170553 14.0915 [-(x+1)/(15*x-1) ogf] A170553 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170553 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170554 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170554 14.4643 [-(x+1)/(16*x-1) ogf] A170554 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170554 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170554 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170555 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170555 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170555 14.6879 [-(x+1)/(17*x-1) ogf] A170555 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170555 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170556 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170556 13.0604 [-(x+1)/(18*x-1) ogf] A170556 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170556 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170556 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170557 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170557 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170557 13.2063 [-(x+1)/(19*x-1) ogf] A170557 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170557 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170558 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170558 13.4252 [-(x+1)/(20*x-1) ogf] A170558 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170558 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170558 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170559 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170559 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170559 13.4981 [-(x+1)/(21*x-1) ogf] A170559 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170559 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170560 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170560 13.8629 [-(x+1)/(22*x-1) ogf] A170560 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170560 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170560 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170561 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170561 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170561 13.9359 [-(x+1)/(23*x-1) ogf] A170561 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170561 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170562 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170562 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170562 14.0818 [-(x+1)/(24*x-1) ogf] A170562 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170562 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170563 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170563 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170563 14.2278 [-(x+1)/(25*x-1) ogf] A170563 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170563 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170564 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170564 14.3737 [-(x+1)/(26*x-1) ogf] A170564 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170564 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170564 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170565 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170565 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170565 14.5926 [-(x+1)/(27*x-1) ogf] A170565 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170565 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170566 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170566 14.6656 [-(x+1)/(28*x-1) ogf] A170566 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170566 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170566 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170567 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170567 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170567 14.8115 [-(x+1)/(29*x-1) ogf] A170567 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170567 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170568 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170568 14.8844 [-(x+1)/(30*x-1) ogf] A170568 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170568 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170568 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170569 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170569 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170569 14.8844 [-(x+1)/(31*x-1) ogf] A170569 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170569 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170570 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170570 15.3952 [-(x+1)/(32*x-1) ogf] A170570 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170570 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170570 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170571 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170571 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170571 15.3952 [-(x+1)/(33*x-1) ogf] A170571 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170571 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170572 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170572 15.3952 [-(x+1)/(34*x-1) ogf] A170572 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170572 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170572 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170573 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170573 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170573 15.5411 [-(x+1)/(35*x-1) ogf] A170573 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170573 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170574 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170574 13.5403 [-(x+1)/(36*x-1) ogf] A170574 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170574 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170574 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170575 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170575 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170575 13.5403 [-(x+1)/(37*x-1) ogf] A170575 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170575 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170576 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170576 13.6828 [-(x+1)/(38*x-1) ogf] A170576 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170576 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170576 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170577 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170577 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170577 13.7541 [-(x+1)/(39*x-1) ogf] A170577 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170577 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170578 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170578 13.8966 [-(x+1)/(40*x-1) ogf] A170578 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170578 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170578 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170579 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170579 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170579 13.8966 [-(x+1)/(41*x-1) ogf] A170579 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170579 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170580 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170580 13.9678 [-(x+1)/(42*x-1) ogf] A170580 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170580 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170580 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170581 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170581 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170581 14.0391 [-(x+1)/(43*x-1) ogf] A170581 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170581 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170582 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170582 14.1816 [-(x+1)/(44*x-1) ogf] A170582 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170582 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170582 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170583 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170583 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170583 14.1816 [-(x+1)/(45*x-1) ogf] A170583 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170583 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170584 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170584 14.1816 [-(x+1)/(46*x-1) ogf] A170584 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170584 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170584 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170585 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170585 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170585 14.4667 [-(x+1)/(47*x-1) ogf] A170585 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170585 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170586 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170586 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170586 14.4667 [-(x+1)/(48*x-1) ogf] A170586 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170586 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170587 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170587 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170587 14.4667 [-(x+1)/(49*x-1) ogf] A170587 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170587 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170588 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170588 19.2957 [-(x+1)/(2*x-1) ogf] A170588 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170588 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170588 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170589 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170589 17.6994 [-(x+1)/(3*x-1) ogf] A170589 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170589 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170589 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170590 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170590 17.7799 [-(x+1)/(4*x-1) ogf] A170590 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170590 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170590 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170591 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170591 16.6248 [-(x+1)/(5*x-1) ogf] A170591 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170591 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170591 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170592 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170592 16.3746 [-(x+1)/(-1+6*x) ogf] A170592 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170592 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170592 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170593 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170593 15.7883 [-(x+1)/(7*x-1) ogf] A170593 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170593 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170593 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170594 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170594 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170594 16.5980 [-(x+1)/(8*x-1) ogf] A170594 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170594 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170595 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170595 15.5180 [-(x+1)/(9*x-1) ogf] A170595 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170595 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170595 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170596 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170596 14.6040 [-(x+1)/(10*x-1) ogf] A170596 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170596 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170596 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170597 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170597 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170597 14.6040 [-(x+1)/(11*x-1) ogf] A170597 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170597 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170598 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170598 13.1968 [-(x+1)/(12*x-1) ogf] A170598 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170598 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170598 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170599 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170599 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170599 13.4950 [-(x+1)/(13*x-1) ogf] A170599 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170599 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170600 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170600 13.8678 [-(x+1)/(14*x-1) ogf] A170600 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170600 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170600 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170601 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170601 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170601 14.0915 [-(x+1)/(15*x-1) ogf] A170601 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170601 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170602 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170602 14.4643 [-(x+1)/(16*x-1) ogf] A170602 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170602 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170602 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170603 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170603 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170603 14.6879 [-(x+1)/(17*x-1) ogf] A170603 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170603 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170604 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170604 13.0604 [-(x+1)/(18*x-1) ogf] A170604 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170604 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170604 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170605 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170605 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170605 13.2063 [-(x+1)/(19*x-1) ogf] A170605 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170605 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170606 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170606 13.4252 [-(x+1)/(20*x-1) ogf] A170606 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170606 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170606 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170607 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170607 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170607 13.4981 [-(x+1)/(21*x-1) ogf] A170607 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170607 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170608 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170608 13.8629 [-(x+1)/(22*x-1) ogf] A170608 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170608 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170608 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170609 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170609 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170609 13.9359 [-(x+1)/(23*x-1) ogf] A170609 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170609 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170610 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170610 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170610 14.0818 [-(x+1)/(24*x-1) ogf] A170610 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170610 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170611 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170611 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170611 14.2278 [-(x+1)/(25*x-1) ogf] A170611 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170611 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170612 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170612 14.3737 [-(x+1)/(26*x-1) ogf] A170612 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170612 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170612 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170613 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170613 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170613 14.5926 [-(x+1)/(27*x-1) ogf] A170613 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170613 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170614 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170614 14.6656 [-(x+1)/(28*x-1) ogf] A170614 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170614 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170614 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170615 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170615 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170615 14.8115 [-(x+1)/(29*x-1) ogf] A170615 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170615 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170616 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170616 14.8844 [-(x+1)/(30*x-1) ogf] A170616 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170616 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170616 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170617 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170617 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170617 14.8844 [-(x+1)/(31*x-1) ogf] A170617 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170617 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170618 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170618 15.3952 [-(x+1)/(32*x-1) ogf] A170618 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170618 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170618 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170619 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170619 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170619 15.3952 [-(x+1)/(33*x-1) ogf] A170619 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170619 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170620 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170620 15.3952 [-(x+1)/(34*x-1) ogf] A170620 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170620 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170620 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170621 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170621 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170621 15.5411 [-(x+1)/(35*x-1) ogf] A170621 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170621 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170622 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170622 13.5403 [-(x+1)/(36*x-1) ogf] A170622 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170622 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170622 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170623 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170623 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170623 13.5403 [-(x+1)/(37*x-1) ogf] A170623 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170623 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170624 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170624 13.6828 [-(x+1)/(38*x-1) ogf] A170624 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170624 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170624 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170625 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170625 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170625 13.7541 [-(x+1)/(39*x-1) ogf] A170625 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170625 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170626 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170626 13.8966 [-(x+1)/(40*x-1) ogf] A170626 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170626 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170626 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170627 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170627 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170627 13.8966 [-(x+1)/(41*x-1) ogf] A170627 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170627 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170628 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170628 13.9678 [-(x+1)/(42*x-1) ogf] A170628 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170628 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170628 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170629 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170629 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170629 14.0391 [-(x+1)/(43*x-1) ogf] A170629 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170629 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170630 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170630 14.1816 [-(x+1)/(44*x-1) ogf] A170630 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170630 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170630 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170631 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170631 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170631 14.1816 [-(x+1)/(45*x-1) ogf] A170631 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170631 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170632 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170632 14.1816 [-(x+1)/(46*x-1) ogf] A170632 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170632 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170632 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170633 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170633 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170633 14.4667 [-(x+1)/(47*x-1) ogf] A170633 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170633 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170634 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170634 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170634 14.4667 [-(x+1)/(48*x-1) ogf] A170634 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170634 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170635 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170635 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170635 14.4667 [-(x+1)/(49*x-1) ogf] A170635 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170635 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170636 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170636 19.2957 [-(x+1)/(2*x-1) ogf] A170636 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170636 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170636 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170637 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170637 17.6994 [-(x+1)/(3*x-1) ogf] A170637 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170637 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170637 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170638 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170638 17.7799 [-(x+1)/(4*x-1) ogf] A170638 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170638 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170638 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170639 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170639 16.6248 [-(x+1)/(5*x-1) ogf] A170639 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170639 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170639 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170640 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170640 16.3746 [-(x+1)/(-1+6*x) ogf] A170640 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170640 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170640 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170641 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170641 15.7883 [-(x+1)/(7*x-1) ogf] A170641 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170641 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170641 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170642 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170642 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170642 16.5980 [-(x+1)/(8*x-1) ogf] A170642 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170642 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170643 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170643 15.5180 [-(x+1)/(9*x-1) ogf] A170643 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170643 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170643 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170644 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170644 14.6040 [-(x+1)/(10*x-1) ogf] A170644 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170644 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170644 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170645 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170645 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170645 14.6040 [-(x+1)/(11*x-1) ogf] A170645 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170645 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170646 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170646 13.1968 [-(x+1)/(12*x-1) ogf] A170646 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170646 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170646 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170647 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170647 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170647 13.4950 [-(x+1)/(13*x-1) ogf] A170647 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170647 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170648 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170648 13.8678 [-(x+1)/(14*x-1) ogf] A170648 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170648 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170648 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170649 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170649 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170649 14.0915 [-(x+1)/(15*x-1) ogf] A170649 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170649 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170650 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170650 14.4643 [-(x+1)/(16*x-1) ogf] A170650 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170650 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170650 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170651 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170651 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170651 14.6879 [-(x+1)/(17*x-1) ogf] A170651 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170651 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170652 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170652 13.0604 [-(x+1)/(18*x-1) ogf] A170652 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170652 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170652 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170653 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170653 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170653 13.2063 [-(x+1)/(19*x-1) ogf] A170653 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170653 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170654 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170654 13.4252 [-(x+1)/(20*x-1) ogf] A170654 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170654 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170654 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170655 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170655 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170655 13.4981 [-(x+1)/(21*x-1) ogf] A170655 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170655 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170656 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170656 13.8629 [-(x+1)/(22*x-1) ogf] A170656 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170656 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170656 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170657 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170657 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170657 13.9359 [-(x+1)/(23*x-1) ogf] A170657 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170657 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170658 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170658 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170658 14.0818 [-(x+1)/(24*x-1) ogf] A170658 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170658 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170659 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170659 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170659 14.2278 [-(x+1)/(25*x-1) ogf] A170659 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170659 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170660 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170660 14.3737 [-(x+1)/(26*x-1) ogf] A170660 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170660 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170660 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170661 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170661 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170661 14.5926 [-(x+1)/(27*x-1) ogf] A170661 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170661 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170662 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170662 14.6656 [-(x+1)/(28*x-1) ogf] A170662 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170662 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170662 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170663 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170663 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170663 14.8115 [-(x+1)/(29*x-1) ogf] A170663 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170663 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170664 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170664 14.8844 [-(x+1)/(30*x-1) ogf] A170664 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170664 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170664 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170665 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170665 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170665 14.8844 [-(x+1)/(31*x-1) ogf] A170665 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170665 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170666 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170666 15.3952 [-(x+1)/(32*x-1) ogf] A170666 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170666 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170666 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170667 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170667 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170667 15.3952 [-(x+1)/(33*x-1) ogf] A170667 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170667 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170668 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170668 15.3952 [-(x+1)/(34*x-1) ogf] A170668 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170668 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170668 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170669 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170669 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170669 15.5411 [-(x+1)/(35*x-1) ogf] A170669 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170669 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170670 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170670 13.5403 [-(x+1)/(36*x-1) ogf] A170670 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170670 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170670 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170671 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170671 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170671 13.5403 [-(x+1)/(37*x-1) ogf] A170671 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170671 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170672 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170672 13.6828 [-(x+1)/(38*x-1) ogf] A170672 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170672 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170672 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170673 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170673 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170673 13.7541 [-(x+1)/(39*x-1) ogf] A170673 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170673 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170674 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170674 13.8966 [-(x+1)/(40*x-1) ogf] A170674 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170674 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170674 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170675 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170675 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170675 13.8966 [-(x+1)/(41*x-1) ogf] A170675 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170675 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170676 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170676 13.9678 [-(x+1)/(42*x-1) ogf] A170676 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170676 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170676 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170677 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170677 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170677 14.0391 [-(x+1)/(43*x-1) ogf] A170677 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170677 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170678 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170678 14.1816 [-(x+1)/(44*x-1) ogf] A170678 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170678 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170678 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170679 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170679 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170679 14.1816 [-(x+1)/(45*x-1) ogf] A170679 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170679 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170680 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170680 14.1816 [-(x+1)/(46*x-1) ogf] A170680 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170680 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170680 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170681 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170681 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170681 14.4667 [-(x+1)/(47*x-1) ogf] A170681 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170681 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170682 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170682 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170682 14.4667 [-(x+1)/(48*x-1) ogf] A170682 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170682 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170683 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170683 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170683 14.4667 [-(x+1)/(49*x-1) ogf] A170683 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170683 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170684 15.8654 [-2*f(x)*x+f(x)-x-1 ogf] A170684 19.2957 [-(x+1)/(2*x-1) ogf] A170684 23.3360 [-x-1/2+1/2*(4*x^2+8*x+1)^(1/2) revogf] A170684 43.7550 [-3/(2*x-1)/(x+1) lgdogf] A170684 9.91586 [{a(n+2)-2*a(n+1),a(0)=1,a(1)=3} ogf] A170685 14.5528 [-3*f(x)*x+f(x)-x-1 ogf] A170685 17.6994 [-(x+1)/(3*x-1) ogf] A170685 17.8290 [-3/2*x-1/2+1/2*((x+1)*(1+9*x))^(1/2) revogf] A170685 37.7556 [-4/(-1+3*x)/(x+1) lgdogf] A170685 9.09553 [{a(n+2)-3*a(n+1),a(0)=1,a(1)=4} ogf] A170686 14.619 [-4*f(x)*x+f(x)-x-1 ogf] A170686 17.7799 [-(x+1)/(4*x-1) ogf] A170686 18.9748 [-2*x-1/2+1/2*(16*x^2+12*x+1)^(1/2) revogf] A170686 40.3215 [-5/(x+1)/(4*x-1) lgdogf] A170686 9.13689 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A170687 13.6693 [-5*f(x)*x+f(x)-x-1 ogf] A170687 16.6248 [-(x+1)/(5*x-1) ogf] A170687 16.7431 [-1/2-5/2*x+1/2*(1+14*x+25*x^2)^(1/2) revogf] A170687 37.6720 [-6/(x+1)/(5*x-1) lgdogf] A170687 8.54329 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=6} ogf] A170688 13.4636 [-6*f(x)*x+f(x)-x-1 ogf] A170688 16.3746 [-(x+1)/(-1+6*x) ogf] A170688 17.4612 [-3*x-1/2+1/2*(36*x^2+16*x+1)^(1/2) revogf] A170688 37.1051 [-7/(x+1)/(6*x-1) lgdogf] A170688 8.41471 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=7} ogf] A170689 12.9815 [-7*f(x)*x+f(x)-x-1 ogf] A170689 15.7883 [-(x+1)/(7*x-1) ogf] A170689 15.8940 [-1/2-7/2*x+1/2*(1+18*x+49*x^2)^(1/2) revogf] A170689 35.7615 [-8/(x+1)/(7*x-1) lgdogf] A170689 8.11343 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=8} ogf] A170690 13.6472 [-8*f(x)*x+f(x)-x-1 ogf] A170690 16.2741 [-4*x-1/2+1/2*((4*x+1)*(1+16*x))^(1/2) revogf] A170690 16.5980 [-(x+1)/(8*x-1) ogf] A170690 37.6339 [-9/(x+1)/(8*x-1) lgdogf] A170690 8.52951 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=9} ogf] A170691 12.7592 [-9*f(x)*x+f(x)-x-1 ogf] A170691 15.5180 [-(x+1)/(9*x-1) ogf] A170691 15.6219 [-1/2-9/2*x+1/2*(1+22*x+81*x^2)^(1/2) revogf] A170691 33.0816 [-10/(x+1)/(9*x-1) lgdogf] A170691 7.86529 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=10} ogf] A170692 12.0642 [-10*f(x)*x+f(x)-x-1 ogf] A170692 14.6040 [-(x+1)/(10*x-1) ogf] A170692 15.5254 [-5*x-1/2+1/2*(100*x^2+24*x+1)^(1/2) revogf] A170692 30.1883 [-11/(x+1)/(10*x-1) lgdogf] A170692 7.49934 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=11} ogf] A170693 12.0642 [-11*f(x)*x+f(x)-x-1 ogf] A170693 14.2997 [-1/2-11/2*x+1/2*(1+26*x+121*x^2)^(1/2) revogf] A170693 14.6040 [-(x+1)/(11*x-1) ogf] A170693 30.1883 [-12/(x+1)/(11*x-1) lgdogf] A170693 7.49934 [{a(n+2)-11*a(n+1),a(0)=1,a(1)=12} ogf] A170694 10.9017 [-12*f(x)*x+f(x)-x-1 ogf] A170694 13.1968 [-(x+1)/(12*x-1) ogf] A170694 14.0042 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170694 27.2303 [-13/(x+1)/(12*x-1) lgdogf] A170694 6.77673 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170695 11.1481 [-13*f(x)*x+f(x)-x-1 ogf] A170695 13.1968 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170695 13.4950 [-(x+1)/(13*x-1) ogf] A170695 27.8599 [-14/(x+1)/(13*x-1) lgdogf] A170695 6.92988 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170696 11.456 [-14*f(x)*x+f(x)-x-1 ogf] A170696 13.8678 [-(x+1)/(14*x-1) ogf] A170696 14.7327 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170696 28.6469 [-15/(1+x)/(14*x-1) lgdogf] A170696 7.12131 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170697 11.6408 [-15*f(x)*x+f(x)-x-1 ogf] A170697 13.1036 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170697 14.0915 [-(x+1)/(15*x-1) ogf] A170697 29.1191 [-16/(x+1)/(15*x-1) lgdogf] A170697 7.23618 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170698 11.9488 [-16*f(x)*x+f(x)-x-1 ogf] A170698 14.4643 [-(x+1)/(16*x-1) ogf] A170698 15.3803 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170698 29.9061 [-17/(x+1)/(16*x-1) lgdogf] A170698 7.42761 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170699 12.1335 [-17*f(x)*x+f(x)-x-1 ogf] A170699 14.3897 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170699 14.6879 [-(x+1)/(17*x-1) ogf] A170699 30.3783 [-18/(x+1)/(17*x-1) lgdogf] A170699 7.54246 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170700 10.789 [-18*f(x)*x+f(x)-x-1 ogf] A170700 13.0604 [-(x+1)/(18*x-1) ogf] A170700 13.8630 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170700 26.9557 [-19/(x+1)/(18*x-1) lgdogf] A170700 6.70668 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170701 10.9095 [-19*f(x)*x+f(x)-x-1 ogf] A170701 12.9144 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170701 13.2063 [-(x+1)/(19*x-1) ogf] A170701 27.2638 [-20/(x+1)/(19*x-1) lgdogf] A170701 6.78161 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170702 11.0904 [-20*f(x)*x+f(x)-x-1 ogf] A170702 13.4252 [-(x+1)/(20*x-1) ogf] A170702 13.8630 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170702 26.2666 [-21/(1+x)/(-1+20*x) lgdogf] A170702 6.89401 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170703 11.1506 [-21*f(x)*x+f(x)-x-1 ogf] A170703 13.2063 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170703 13.4981 [-(x+1)/(21*x-1) ogf] A170703 27.8799 [-22/(1+x)/(21*x-1) lgdogf] A170703 6.93147 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170704 11.452 [-22*f(x)*x+f(x)-x-1 ogf] A170704 13.8629 [-(x+1)/(22*x-1) ogf] A170704 14.3250 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170704 28.6501 [-23/(x+1)/(22*x-1) lgdogf] A170704 7.11881 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170705 11.5123 [-23*f(x)*x+f(x)-x-1 ogf] A170705 13.6441 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170705 13.9359 [-(x+1)/(23*x-1) ogf] A170705 28.8041 [-24/(x+1)/(23*x-1) lgdogf] A170705 7.15628 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170706 11.6328 [-24*f(x)*x+f(x)-x-1 ogf] A170706 13.4364 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170706 14.0818 [-(x+1)/(24*x-1) ogf] A170706 29.1122 [-25/(x+1)/(24*x-1) lgdogf] A170706 7.23122 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170707 11.7534 [-25*f(x)*x+f(x)-x-1 ogf] A170707 13.9359 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170707 14.2278 [-(x+1)/(25*x-1) ogf] A170707 29.4203 [-26/(x+1)/(25*x-1) lgdogf] A170707 7.30615 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170708 11.8739 [-26*f(x)*x+f(x)-x-1 ogf] A170708 14.3737 [-(x+1)/(26*x-1) ogf] A170708 14.8642 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170708 29.7283 [-27/(x+1)/(26*x-1) lgdogf] A170708 7.38108 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170709 12.0547 [-27*f(x)*x+f(x)-x-1 ogf] A170709 14.3007 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170709 14.5926 [-(x+1)/(27*x-1) ogf] A170709 30.1904 [-28/(x+1)/(27*x-1) lgdogf] A170709 7.49349 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170710 12.115 [-28*f(x)*x+f(x)-x-1 ogf] A170710 14.6656 [-(x+1)/(28*x-1) ogf] A170710 15.1722 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170710 30.3445 [-29/(x+1)/(28*x-1) lgdogf] A170710 7.53096 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170711 12.2356 [-29*f(x)*x+f(x)-x-1 ogf] A170711 14.5196 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170711 14.8115 [-(x+1)/(29*x-1) ogf] A170711 30.6525 [-30/(x+1)/(29*x-1) lgdogf] A170711 7.60589 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170712 12.2958 [-30*f(x)*x+f(x)-x-1 ogf] A170712 14.8844 [-(x+1)/(30*x-1) ogf] A170712 15.4033 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170712 30.8066 [-31/(x+1)/(30*x-1) lgdogf] A170712 7.64335 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170713 12.2958 [-31*f(x)*x+f(x)-x-1 ogf] A170713 14.5926 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170713 14.8844 [-(x+1)/(31*x-1) ogf] A170713 30.8066 [-32/(x+1)/(31*x-1) lgdogf] A170713 7.64335 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170714 12.7177 [-32*f(x)*x+f(x)-x-1 ogf] A170714 15.3952 [-(x+1)/(32*x-1) ogf] A170714 15.5115 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170714 31.8848 [-33/(x+1)/(32*x-1) lgdogf] A170714 7.90562 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170715 12.7177 [-33*f(x)*x+f(x)-x-1 ogf] A170715 14.7161 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170715 15.3952 [-(x+1)/(33*x-1) ogf] A170715 31.8848 [-34/(x+1)/(33*x-1) lgdogf] A170715 7.90562 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170716 12.7177 [-34*f(x)*x+f(x)-x-1 ogf] A170716 15.3952 [-(x+1)/(34*x-1) ogf] A170716 15.5115 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170716 31.8848 [-35/(x+1)/(34*x-1) lgdogf] A170716 7.90562 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170717 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170717 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170717 15.5411 [-(x+1)/(35*x-1) ogf] A170717 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170717 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170718 11.1854 [-36*f(x)*x+f(x)-x-1 ogf] A170718 13.5403 [-(x+1)/(36*x-1) ogf] A170718 13.6134 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170718 27.9832 [-37/(x+1)/(36*x-1) lgdogf] A170718 6.95311 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170719 11.1854 [-37*f(x)*x+f(x)-x-1 ogf] A170719 12.9153 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170719 13.5403 [-(x+1)/(37*x-1) ogf] A170719 27.9832 [-38/(x+1)/(37*x-1) lgdogf] A170719 6.95311 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170720 11.3032 [-38*f(x)*x+f(x)-x-1 ogf] A170720 13.6828 [-(x+1)/(38*x-1) ogf] A170720 13.7598 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170720 28.2841 [-39/(x+1)/(38*x-1) lgdogf] A170720 7.02630 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170721 11.362 [-39*f(x)*x+f(x)-x-1 ogf] A170721 13.1236 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170721 13.7541 [-(x+1)/(39*x-1) ogf] A170721 28.4345 [-40/(x+1)/(39*x-1) lgdogf] A170721 7.06289 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170722 11.4798 [-40*f(x)*x+f(x)-x-1 ogf] A170722 13.8966 [-(x+1)/(40*x-1) ogf] A170722 13.9794 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170722 28.7354 [-41/(x+1)/(40*x-1) lgdogf] A170722 7.13608 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170723 11.4798 [-41*f(x)*x+f(x)-x-1 ogf] A170723 13.2625 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170723 13.8966 [-(x+1)/(41*x-1) ogf] A170723 28.7354 [-42/(x+1)/(41*x-1) lgdogf] A170723 7.13608 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170724 11.5386 [-42*f(x)*x+f(x)-x-1 ogf] A170724 13.9678 [-(x+1)/(42*x-1) ogf] A170724 14.0526 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170724 28.8859 [-43/(x+1)/(42*x-1) lgdogf] A170724 7.17268 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170725 11.5975 [-43*f(x)*x+f(x)-x-1 ogf] A170725 13.4014 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170725 14.0391 [-(x+1)/(43*x-1) ogf] A170725 29.0363 [-44/(x+1)/(43*x-1) lgdogf] A170725 7.20927 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170726 11.7153 [-44*f(x)*x+f(x)-x-1 ogf] A170726 14.1816 [-(x+1)/(44*x-1) ogf] A170726 14.2722 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170726 29.3372 [-45/(x+1)/(44*x-1) lgdogf] A170726 7.28246 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170727 11.7153 [-45*f(x)*x+f(x)-x-1 ogf] A170727 13.5403 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170727 14.1816 [-(x+1)/(45*x-1) ogf] A170727 29.3372 [-46/(x+1)/(45*x-1) lgdogf] A170727 7.28246 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170728 11.7153 [-46*f(x)*x+f(x)-x-1 ogf] A170728 14.1816 [-(x+1)/(46*x-1) ogf] A170728 14.2722 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170728 29.3372 [-47/(x+1)/(46*x-1) lgdogf] A170728 7.28246 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170729 11.9507 [-47*f(x)*x+f(x)-x-1 ogf] A170729 13.8180 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170729 14.4667 [-(x+1)/(47*x-1) ogf] A170729 29.9390 [-48/(x+1)/(47*x-1) lgdogf] A170729 7.42884 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170730 11.9507 [-48*f(x)*x+f(x)-x-1 ogf] A170730 13.8180 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170730 14.4667 [-(x+1)/(48*x-1) ogf] A170730 29.9390 [-49/(x+1)/(48*x-1) lgdogf] A170730 7.42884 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170731 11.9507 [-49*f(x)*x+f(x)-x-1 ogf] A170731 13.4725 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170731 14.4667 [-(x+1)/(49*x-1) ogf] A170731 29.9390 [-50/(x+1)/(49*x-1) lgdogf] A170731 7.42884 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170732 15.6299 [-12*f(x)*x+f(x)-x-1 ogf] A170732 18.9204 [-(x+1)/(12*x-1) ogf] A170732 20.1998 [-1/2-6*x+1/2*(1+28*x+144*x^2)^(1/2) revogf] A170732 39.2773 [-13/(x+1)/(12*x-1) lgdogf] A170732 9.71588 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=13} ogf] A170733 16.0207 [-13*f(x)*x+f(x)-x-1 ogf] A170733 19.0781 [-1/2-13/2*x+1/2*(1+30*x+169*x^2)^(1/2) revogf] A170733 19.3934 [-(x+1)/(13*x-1) ogf] A170733 40.2759 [-14/(x+1)/(13*x-1) lgdogf] A170733 9.95878 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=14} ogf] A170734 10.2017 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=15} ogf] A170734 16.4114 [-14*f(x)*x+f(x)-x-1 ogf] A170734 19.8664 [-(x+1)/(14*x-1) ogf] A170734 21.2269 [-1/2-7*x+1/2*(1+32*x+196*x^2)^(1/2) revogf] A170734 41.2745 [-15/(x+1)/(14*x-1) lgdogf] A170735 10.4446 [{a(n+2)-15*a(n+1),a(0)=1,a(1)=16} ogf] A170735 16.8022 [-15*f(x)*x+f(x)-x-1 ogf] A170735 19.0229 [-1/2-15/2*x+1/2*((1+9*x)*(1+25*x))^(1/2) revogf] A170735 20.3394 [-(x+1)/(15*x-1) ogf] A170735 42.2731 [-16/(x+1)/(15*x-1) lgdogf] A170736 15.2983 [-16*f(x)*x+f(x)-x-1 ogf] A170736 18.5190 [-(x+1)/(16*x-1) ogf] A170736 19.7698 [-1/2-8*x+1/2*(1+36*x+256*x^2)^(1/2) revogf] A170736 38.4413 [-17/(x+1)/(16*x-1) lgdogf] A170736 9.50974 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=17} ogf] A170737 15.5543 [-17*f(x)*x+f(x)-x-1 ogf] A170737 18.5190 [-1/2-17/2*x+1/2*(1+38*x+289*x^2)^(1/2) revogf] A170737 18.8289 [-(x+1)/(17*x-1) ogf] A170737 39.0956 [-18/(x+1)/(17*x-1) lgdogf] A170737 9.66891 [{a(n+2)-17*a(n+1),a(0)=1,a(1)=18} ogf] A170738 15.8744 [-18*f(x)*x+f(x)-x-1 ogf] A170738 19.2163 [-(x+1)/(18*x-1) ogf] A170738 20.5270 [-1/2-9*x+1/2*(1+40*x+324*x^2)^(1/2) revogf] A170738 39.9135 [-19/(x+1)/(18*x-1) lgdogf] A170738 9.86785 [{a(n+2)-18*a(n+1),a(0)=1,a(1)=19} ogf] A170739 16.0664 [-19*f(x)*x+f(x)-x-1 ogf] A170739 19.1389 [-1/2-19/2*x+1/2*(1+42*x+361*x^2)^(1/2) revogf] A170739 19.4488 [-(x+1)/(19*x-1) ogf] A170739 40.4043 [-20/(x+1)/(19*x-1) lgdogf] A170739 9.98722 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=20} ogf] A170740 10.1464 [{a(n+2)-20*a(n+1),a(0)=1,a(1)=21} ogf] A170740 16.3224 [-20*f(x)*x+f(x)-x-1 ogf] A170740 19.7587 [-(x+1)/(20*x-1) ogf] A170740 20.5293 [-1/2-10*x+1/2*(1+44*x+400*x^2)^(1/2) revogf] A170740 41.0586 [-21/(x+1)/(20*x-1) lgdogf] A170741 10.2260 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=22} ogf] A170741 16.4505 [-21*f(x)*x+f(x)-x-1 ogf] A170741 19.6038 [-1/2-21/2*x+1/2*(1+46*x+441*x^2)^(1/2) revogf] A170741 19.9137 [-(x+1)/(21*x-1) ogf] A170741 41.3857 [-22/(x+1)/(21*x-1) lgdogf] A170742 10.4647 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=23} ogf] A170742 16.8345 [-22*f(x)*x+f(x)-x-1 ogf] A170742 20.3786 [-(x+1)/(22*x-1) ogf] A170742 21.1836 [-1/2-11*x+1/2*(1+48*x+484*x^2)^(1/2) revogf] A170742 42.3672 [-23/(x+1)/(22*x-1) lgdogf] A170743 15.0174 [-23*f(x)*x+f(x)-x-1 ogf] A170743 17.8747 [-23/2*x-1/2+1/2*(529*x^2+50*x+1)^(1/2) revogf] A170743 18.1789 [-(x+1)/(23*x-1) ogf] A170743 37.7354 [-24/(x+1)/(23*x-1) lgdogf] A170743 9.33511 [{a(n+2)-23*a(n+1),a(0)=1,a(1)=24} ogf] A170744 15.2059 [-24*f(x)*x+f(x)-x-1 ogf] A170744 17.6387 [-12*x-1/2+1/2*((1+16*x)*(1+36*x))^(1/2) revogf] A170744 18.4071 [-(x+1)/(24*x-1) ogf] A170744 38.2171 [-25/(x+1)/(24*x-1) lgdogf] A170744 9.45230 [{a(n+2)-24*a(n+1),a(0)=1,a(1)=25} ogf] A170745 15.3315 [-25*f(x)*x+f(x)-x-1 ogf] A170745 18.2550 [-1/2-25/2*x+1/2*(1+54*x+625*x^2)^(1/2) revogf] A170745 18.5592 [-(x+1)/(25*x-1) ogf] A170745 38.5383 [-26/(x+1)/(25*x-1) lgdogf] A170745 9.53041 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=26} ogf] A170746 15.52 [-26*f(x)*x+f(x)-x-1 ogf] A170746 18.7874 [-(x+1)/(26*x-1) ogf] A170746 19.5100 [-13*x-1/2+1/2*(676*x^2+56*x+1)^(1/2) revogf] A170746 39.0200 [-27/(x+1)/(26*x-1) lgdogf] A170746 9.64758 [{a(n+2)-26*a(n+1),a(0)=1,a(1)=27} ogf] A170747 15.7085 [-27*f(x)*x+f(x)-x-1 ogf] A170747 18.7113 [-27/2*x-1/2+1/2*(729*x^2+58*x+1)^(1/2) revogf] A170747 19.0156 [-(x+1)/(27*x-1) ogf] A170747 39.5017 [-28/(x+1)/(27*x-1) lgdogf] A170747 9.76476 [{a(n+2)-27*a(n+1),a(0)=1,a(1)=28} ogf] A170748 13.9197 [-28*f(x)*x+f(x)-x-1 ogf] A170748 16.8501 [-(x+1)/(28*x-1) ogf] A170748 17.4715 [-14*x-1/2+1/2*(784*x^2+60*x+1)^(1/2) revogf] A170748 34.9429 [-29/(x+1)/(28*x-1) lgdogf] A170748 8.65277 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=29} ogf] A170749 14.0429 [-29*f(x)*x+f(x)-x-1 ogf] A170749 16.7010 [-29/2*x-1/2+1/2*(841*x^2+62*x+1)^(1/2) revogf] A170749 16.9993 [-(x+1)/(29*x-1) ogf] A170749 35.2577 [-30/(x+1)/(29*x-1) lgdogf] A170749 8.72935 [{a(n+2)-29*a(n+1),a(0)=1,a(1)=30} ogf] A170750 14.1045 [-30*f(x)*x+f(x)-x-1 ogf] A170750 17.0738 [-(x+1)/(30*x-1) ogf] A170750 17.7076 [-15*x-1/2+1/2*(900*x^2+64*x+1)^(1/2) revogf] A170750 35.4151 [-31/(x+1)/(30*x-1) lgdogf] A170750 8.76764 [{a(n+2)-30*a(n+1),a(0)=1,a(1)=31} ogf] A170751 14.1045 [-31*f(x)*x+f(x)-x-1 ogf] A170751 16.7756 [-31/2*x-1/2+1/2*(961*x^2+66*x+1)^(1/2) revogf] A170751 17.0738 [-(x+1)/(31*x-1) ogf] A170751 35.4151 [-32/(x+1)/(31*x-1) lgdogf] A170751 8.76764 [{a(n+2)-31*a(n+1),a(0)=1,a(1)=32} ogf] A170752 14.5972 [-32*f(x)*x+f(x)-x-1 ogf] A170752 17.6703 [-(x+1)/(32*x-1) ogf] A170752 17.8416 [-1/2-16*x+1/2*(1+68*x+1024*x^2)^(1/2) revogf] A170752 36.6743 [-33/(x+1)/(32*x-1) lgdogf] A170752 9.07393 [{a(n+2)-32*a(n+1),a(0)=1,a(1)=33} ogf] A170753 14.5972 [-33*f(x)*x+f(x)-x-1 ogf] A170753 16.9266 [-1/2-33/2*x+1/2*(1+70*x+1089*x^2)^(1/2) revogf] A170753 17.6703 [-(x+1)/(33*x-1) ogf] A170753 36.6743 [-34/(x+1)/(33*x-1) lgdogf] A170753 9.07393 [{a(n+2)-33*a(n+1),a(0)=1,a(1)=34} ogf] A170754 14.5972 [-34*f(x)*x+f(x)-x-1 ogf] A170754 17.6703 [-(x+1)/(34*x-1) ogf] A170754 17.8416 [-1/2-17*x+1/2*(1+72*x+1156*x^2)^(1/2) revogf] A170754 36.6743 [-35/(x+1)/(34*x-1) lgdogf] A170754 9.07393 [{a(n+2)-34*a(n+1),a(0)=1,a(1)=35} ogf] A170755 12.8383 [-35*f(x)*x+f(x)-x-1 ogf] A170755 14.1334 [-35/2*x-1/2+1/2*((1+25*x)*(1+49*x))^(1/2) revogf] A170755 15.5411 [-(x+1)/(35*x-1) ogf] A170755 32.1929 [-36/(x+1)/(35*x-1) lgdogf] A170755 7.98057 [{a(n+2)-35*a(n+1),a(0)=1,a(1)=36} ogf] A170756 12.9588 [-36*f(x)*x+f(x)-x-1 ogf] A170756 15.6870 [-(x+1)/(36*x-1) ogf] A170756 15.8113 [-1/2-18*x+1/2*(1+76*x+1296*x^2)^(1/2) revogf] A170756 32.5009 [-37/(x+1)/(36*x-1) lgdogf] A170756 8.05550 [{a(n+2)-36*a(n+1),a(0)=1,a(1)=37} ogf] A170757 12.9588 [-37*f(x)*x+f(x)-x-1 ogf] A170757 15.0004 [-1/2-37/2*x+1/2*(1+78*x+1369*x^2)^(1/2) revogf] A170757 15.6870 [-(x+1)/(37*x-1) ogf] A170757 32.5009 [-38/(x+1)/(37*x-1) lgdogf] A170757 8.05550 [{a(n+2)-37*a(n+1),a(0)=1,a(1)=38} ogf] A170758 13.0794 [-38*f(x)*x+f(x)-x-1 ogf] A170758 15.8329 [-(x+1)/(38*x-1) ogf] A170758 15.9611 [-1/2-19*x+1/2*(1+80*x+1444*x^2)^(1/2) revogf] A170758 32.8090 [-39/(x+1)/(38*x-1) lgdogf] A170758 8.13043 [{a(n+2)-38*a(n+1),a(0)=1,a(1)=39} ogf] A170759 13.1397 [-39*f(x)*x+f(x)-x-1 ogf] A170759 15.2137 [-39/2*x-1/2+1/2*(1521*x^2+82*x+1)^(1/2) revogf] A170759 15.9059 [-(x+1)/(39*x-1) ogf] A170759 32.9630 [-40/(x+1)/(39*x-1) lgdogf] A170759 8.16791 [{a(n+2)-39*a(n+1),a(0)=1,a(1)=40} ogf] A170760 13.3205 [-40*f(x)*x+f(x)-x-1 ogf] A170760 16.1248 [-(x+1)/(40*x-1) ogf] A170760 16.2609 [-20*x-1/2+1/2*(1600*x^2+84*x+1)^(1/2) revogf] A170760 33.4251 [-41/(x+1)/(40*x-1) lgdogf] A170760 8.28030 [{a(n+2)-40*a(n+1),a(0)=1,a(1)=41} ogf] A170761 13.3205 [-41*f(x)*x+f(x)-x-1 ogf] A170761 15.4270 [-1/2-41/2*x+1/2*(1+86*x+1681*x^2)^(1/2) revogf] A170761 16.1248 [-(x+1)/(41*x-1) ogf] A170761 33.4251 [-42/(x+1)/(41*x-1) lgdogf] A170761 8.28030 [{a(n+2)-41*a(n+1),a(0)=1,a(1)=42} ogf] A170762 13.3808 [-42*f(x)*x+f(x)-x-1 ogf] A170762 16.1978 [-(x+1)/(42*x-1) ogf] A170762 16.3358 [-1/2-21*x+1/2*(1+88*x+1764*x^2)^(1/2) revogf] A170762 33.5791 [-43/(x+1)/(42*x-1) lgdogf] A170762 8.31777 [{a(n+2)-42*a(n+1),a(0)=1,a(1)=43} ogf] A170763 13.441 [-43*f(x)*x+f(x)-x-1 ogf] A170763 15.5692 [-1/2-43/2*x+1/2*(1+90*x+1849*x^2)^(1/2) revogf] A170763 16.2707 [-(x+1)/(43*x-1) ogf] A170763 33.7332 [-44/(x+1)/(43*x-1) lgdogf] A170763 8.35524 [{a(n+2)-43*a(n+1),a(0)=1,a(1)=44} ogf] A170764 13.5616 [-44*f(x)*x+f(x)-x-1 ogf] A170764 16.4167 [-(x+1)/(44*x-1) ogf] A170764 16.5606 [-1/2-22*x+1/2*(1+92*x+1936*x^2)^(1/2) revogf] A170764 34.0412 [-45/(x+1)/(44*x-1) lgdogf] A170764 8.43018 [{a(n+2)-44*a(n+1),a(0)=1,a(1)=45} ogf] A170765 13.5616 [-45*f(x)*x+f(x)-x-1 ogf] A170765 15.7113 [-1/2-45/2*x+1/2*(1+94*x+2025*x^2)^(1/2) revogf] A170765 16.4167 [-(x+1)/(45*x-1) ogf] A170765 34.0412 [-46/(x+1)/(45*x-1) lgdogf] A170765 8.43018 [{a(n+2)-45*a(n+1),a(0)=1,a(1)=46} ogf] A170766 13.5616 [-46*f(x)*x+f(x)-x-1 ogf] A170766 16.4167 [-(x+1)/(46*x-1) ogf] A170766 16.5606 [-1/2-23*x+1/2*(1+96*x+2116*x^2)^(1/2) revogf] A170766 34.0412 [-47/(x+1)/(46*x-1) lgdogf] A170766 8.43018 [{a(n+2)-46*a(n+1),a(0)=1,a(1)=47} ogf] A170767 13.8629 [-47*f(x)*x+f(x)-x-1 ogf] A170767 16.0668 [-47/2*x-1/2+1/2*(2209*x^2+98*x+1)^(1/2) revogf] A170767 16.7815 [-(x+1)/(47*x-1) ogf] A170767 34.8114 [-48/(x+1)/(47*x-1) lgdogf] A170767 8.61751 [{a(n+2)-47*a(n+1),a(0)=1,a(1)=48} ogf] A170768 13.8629 [-48*f(x)*x+f(x)-x-1 ogf] A170768 16.0668 [-1/2-24*x+1/2*((1+36*x)*(64*x+1))^(1/2) revogf] A170768 16.7815 [-(x+1)/(48*x-1) ogf] A170768 34.8114 [-49/(x+1)/(48*x-1) lgdogf] A170768 8.61751 [{a(n+2)-48*a(n+1),a(0)=1,a(1)=49} ogf] A170769 13.8629 [-49*f(x)*x+f(x)-x-1 ogf] A170769 15.6651 [-1/2-49/2*x+1/2*(1+102*x+2401*x^2)^(1/2) revogf] A170769 16.7815 [-(x+1)/(49*x-1) ogf] A170769 34.8114 [-50/(x+1)/(49*x-1) lgdogf] A170769 8.61751 [{a(n+2)-49*a(n+1),a(0)=1,a(1)=50} ogf] A170831 11.2321 [-2*(x^4+2*x^3-x-1)/(2*x^2-1)/(2*x^3-1) ogf] A170831 9.69755 [-(1+4*x+4*x^8+16*x^7+2*x^6-12*x^5-16*x^4+2*x^2)/(2*x^2-1)/(2*x^3-1)/(x^4+2*x^3-x-1) lgdogf] A170832 11.3769 [-3*(x^4+3*x^3-x-1)/(3*x^2-1)/(3*x^3-1) ogf] A170832 9.16930 [-(1+6*x+9*x^8+3*x^6-30*x^5-36*x^4+2*x^3+54*x^7+3*x^2)/(3*x^2-1)/(3*x^3-1)/(x^4+3*x^3-x-1) lgdogf] A170833 10.6760 [-4*(x^4+4*x^3-x-1)/(2*x+1)/(2*x-1)/(4*x^3-1) ogf] A170833 8.11046 [-(1+8*x+16*x^8+128*x^7+4*x^6-56*x^5-64*x^4+4*x^3+4*x^2)/(2*x+1)/(2*x-1)/(x^4+4*x^3-x-1)/(4*x^3-1) lgdogf] A170834 10.5309 [-5*(x^4+5*x^3-x-1)/(5*x^2-1)/(5*x^3-1) ogf] A170834 8.34496 [-(1+10*x+25*x^8+250*x^7+5*x^6-90*x^5-100*x^4+6*x^3+5*x^2)/(5*x^2-1)/(5*x^3-1)/(x^4+5*x^3-x-1) lgdogf] A170836 12.3068 [-f(x)*(12*x^3+f(x)*x+3*x^2-f(x)+x) ogf] A170836 18.7064 [-x*(12*x^2+3*x+1)/(x-1) ogf] A170836 24.9311 [4*(-1-6*x+3*x^2)/(x-1)/(12*x^2+3*x+1) lgdogf] A170836 9.74292 [{-a(n+4)+a(n+3),a(0)=0,a(1)=1,a(2)=4,a(3)=16} ogf] A170837 13.8960 [x*(12*x^2+3*x+1)/(x-1)^2 ogf] A170837 26.4686 [-(5+27*x)/(x-1)/(12*x^2+3*x+1) lgdogf] A170837 7.06990 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=5,a(3)=21} ogf] A170837 7.6759 [-(352*f(x)+27)*(f(x)*x^2-12*x^3-2*f(x)*x-3*x^2+f(x)-x) ogf] A170881 11.6027 [-(x^3+x^2-2*x+1)/(x-1)/(2*x-1)^2 ogf] A170881 15.1293 [-(-3+8*x+6*x^3-10*x^2)/(2*x-1)/(x-1)/(x^3+x^2-2*x+1) lgdogf] A170881 6.01944 [{a(n+4)-5*a(n+3)+8*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=21} ogf] A170881 6.6164 [(-11+42*f(x))*(4*f(x)*x^3-8*f(x)*x^2+x^3+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A170930 10.3471 [-3*f(x)*x^2-3*f(x)*x+f(x)-21*x ogf] A170930 14.2191 [1/6*(-3*x-21+(21+6*x+x^2)^(1/2)*21^(1/2))/x revogf] A170930 16.3376 [-21*x/(3*x^2+3*x-1) ogf] A170930 25.4759 [-3*(1+2*x)/(3*x^2-1+3*x) lgdogf] A170930 7.57106 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=0,a(1)=21} ogf] A170931 13.3258 [2*(2*x-1)/(4*x^2+4*x-1) ogf] A170931 15.0589 [-2*(-1-4*x+4*x^2)/(2*x-1)/(4*x^2+4*x-1) lgdogf] A170931 7.05485 [(5*f(x)-9)*(4*f(x)*x^2+4*f(x)*x-f(x)-4*x+2) ogf] A170931 7.31295 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=2,a(1)=4} ogf] A170932 4.89126 [{(-n-2)*a(n+2)+(70+7*n)*a(n+1),a(0)=1,a(1)=63} ogf] A170932 42.2820 [-63/(-1+7*x) lgdogf] A170933 4.44419 [-(77*f(x)+393)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+5*x^3-2*f(x)*x+f(x)+6*x-7) ogf] A170933 8.75957 [-(5*x^3+6*x-7)/(x-1)/(x^3+x-1) ogf] A170933 8.94224 [-(8-14*x+13*x^4-20*x^3+12*x^2+5*x^6)/(x-1)/(5*x^3+6*x-7)/(x^3+x-1) lgdogf] A170934 10.4849 [-(3*x^3-x^2+4*x-4)/(x-1)/(x^3+x-1) ogf] A170934 10.7079 [-(4-6*x+10*x^4-12*x^3+5*x^2-2*x^5+3*x^6)/(x-1)/(3*x^3-x^2+4*x-4)/(x^3+x-1) lgdogf] A170934 5.6065 [-(11*f(x)-171)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+3*x^3-2*f(x)*x-x^2+f(x)+4*x-4) ogf] A170935 12.8034 [1/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A170935 13.4117 [-(-1-2*x+5*x^4-4*x^3-9*x^2+6*x^5)/(x^3-x^2-1)/(x^3+2*x^2+x-1) lgdogf] A170938 10.9845 [-(4-34*x+111*x^2-160*x^3+88*x^4)/(x-1)/(2*x-1)/(4*x-1)/(11*x^2-10*x+2) lgdogf] A170938 12.2179 [-2*(11*x^2-10*x+2)/(x-1)/(2*x-1)/(4*x-1) ogf] A170938 6.57095 [-(f(x)-13)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+22*x^2-f(x)-20*x+4) ogf] A170938 6.85916 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=4,a(1)=8,a(2)=22} ogf] A170939 11.6008 [-(2-14*x+45*x^2-80*x^3+56*x^4)/(x-1)/(2*x-1)/(4*x-1)/(7*x^2-5*x+1) lgdogf] A170939 12.1670 [-2*(7*x^2-5*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A170939 6.48904 [-(25*f(x)-17)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+14*x^2-f(x)-10*x+2) ogf] A170939 6.83058 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=2,a(1)=4,a(2)=14} ogf] A170940 12.6609 [2*x*(8*x-5)/(x-1)/(2*x-1)/(4*x-1) ogf] A170940 12.9310 [-(-27+140*x+128*x^3-232*x^2)/(8*x-5)/(x-1)/(2*x-1)/(4*x-1) lgdogf] A170940 6.54875 [-(27*f(x)+50)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-16*x^2-f(x)+10*x) ogf] A170940 6.66365 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=0,a(1)=10,a(2)=54} ogf] A170955 11.5615 [(80*x+1)/(10*x-1)/(x-1) ogf] A170955 12.0753 [-1/20*(-1-11*x+(1+342*x+81*x^2)^(1/2))/(-8+x) revogf] A170955 12.3498 [-(20*x+7)*(40*x-13)/(-1+x)/(80*x+1)/(10*x-1) lgdogf] A170955 5.96722 [(981*f(x)+7300)*(10*f(x)*x^2-11*f(x)*x+f(x)-80*x-1) ogf] A170955 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=91} ogf] A171005 12.4276 [-(x-4)/(x-1)^4 egf] A171005 35.5194 [-3*(-5+x)/(x-1)/(x-4) lgdegf] A171005 4.38199 [{(-3*n^2-18*n-24)*a(n+1)+(-4*n^2-33*n-65)*a(n+2)+(4*n+12)*a(n+3),a(0)=4,a(1)=15,a(2)=72} ogf] A171005 5.83143 [(27972*f(x)+124363)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+x-4) egf] A171064 10.1410 [-x*(x-1)*(x+1)/(x^4-x^3-7*x^2-x+1) ogf] A171064 10.3060 [-(1+12*x+2*x^5-x^4+4*x^2-4*x^3)/(x-1)/(x+1)/(x^4-x^3-7*x^2-x+1) lgdogf] A171064 5.14975 [(84*f(x)-103)*(f(x)*x^4-f(x)*x^3-7*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A171065 4.97693 [(36*f(x)-41)*(f(x)*x^4-f(x)*x^3-8*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A171065 9.72417 [-x*(x-1)*(x+1)/(x^4-x^3-8*x^2-x+1) ogf] A171065 9.87773 [-(1+14*x+2*x^5-x^4-4*x^3+4*x^2)/(x-1)/(x+1)/(x^4-x^3-8*x^2-x+1) lgdogf] A171066 10.1753 [-x*(x-1)*(x+1)/(x^4-x^3-9*x^2-x+1) ogf] A171066 10.3432 [-(1+16*x+2*x^5-x^4+4*x^2-4*x^3)/(x-1)/(x+1)/(x^4-x^3-9*x^2-x+1) lgdogf] A171066 5.12708 [(450*f(x)-493)*(f(x)*x^4-f(x)*x^3-9*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A171067 4.80355 [(825*f(x)-883)*(f(x)*x^4-f(x)*x^3-10*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A171067 9.17621 [-(1+18*x+2*x^5-x^4-4*x^3+4*x^2)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-4*x+1) lgdogf] A171067 9.46156 [-x*(x-1)*(x+1)/(x^2+3*x+1)/(x^2-4*x+1) ogf] A171068 4.9026 [(462*f(x)-487)*(f(x)*x^4-f(x)*x^3-11*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A171068 9.65664 [-x*(x-1)*(x+1)/(x^4-x^3-11*x^2-x+1) ogf] A171068 9.80753 [-(1+20*x+2*x^5-x^4-4*x^3+4*x^2)/(x-1)/(x+1)/(x^4-x^3-11*x^2-x+1) lgdogf] A171069 10.0087 [-(1+22*x+2*x^5-x^4+4*x^2-4*x^3)/(x-1)/(x+1)/(x^4-x^3-12*x^2-x+1) lgdogf] A171069 4.92586 [(1092*f(x)-1139)*(f(x)*x^4-f(x)*x^3-12*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A171069 9.85173 [-x*(x-1)*(x+1)/(x^4-x^3-12*x^2-x+1) ogf] A171074 3.22621 [4*f(x)^2*x^4-9*f(x)^2*x^3-8*f(x)*x^4+6*f(x)^2*x^2+10*f(x)*x^3+4*x^4-f(x)^2*x-10*f(x)*x^2-x^3+10*f(x)*x+8*x^2-2*f(x)-x+2 ogf] A171088 13.2596 [(x^3-3*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A171088 14.0912 [-(3-3*x+x^5-5*x^4+4*x^3+6*x^2)/(x-1)/(x^2+x+1)/(x^3-3*x^2+2*x+1) lgdogf] A171088 5.61294 [{(n+6)*a(n+1)+a(n+2)+a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=3,a(2)=0,a(3)=2} ogf] A171088 7.31927 [-(23*f(x)+60)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+3*x^2+f(x)-2*x-1) ogf] A171089 10.8372 [-(2+8*x+2*x^4+8*x^3-13*x^2)/(x+1)/(x^2-3*x+1)/(2*x^2+4*x-3) lgdogf] A171089 12.4204 [-2*(2*x^2+4*x-3)/(x+1)/(x^2-3*x+1) ogf] A171089 6.53139 [-(7*f(x)-18)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+8*x-6) ogf] A171089 6.70480 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=4,a(2)=16} ogf] A171108 18.3035 [-3*(-25-46*x+11*x^2)/(x-1)/(11*x^2-40*x-7) lgdogf] A171108 8.52526 [3*x^2*(11*x^2-40*x-7)/(x-1)^5 ogf] A171126 6.65786 [(x^2+1)*(2*x^8+x^7+5*x^6+3*x^5-4*x^4+3*x^3+5*x^2+x+2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A171129 16.4061 [-(1+36*x+2*x^3+21*x^2)/(x-1)/(x^3+6*x^2+6*x-1) lgdogf] A171129 4.07435 [{(-35*n^2-129*n-118)*a(n+1)+(-26*n^2-384*n-412)*a(n+2)+(61*n^2+129*n+14)*a(n+3),a(0)=0,a(1)=-1,a(2)=1} ogf] A171129 8.37257 [-x*(x^3+6*x^2+6*x-1)/(x-1)^5 ogf] A171141 13.2558 [(8*x^2+27*x+6)/(x+1)/(x-1)^2 ogf] A171141 16.1211 [-(33+61*x+62*x^2+8*x^3)/(x-1)/(x+1)/(8*x^2+27*x+6) lgdogf] A171141 6.52269 [-(40549*f(x)-6828340)*(f(x)*x^3-f(x)*x^2-f(x)*x-8*x^2+f(x)-27*x-6) ogf] A171141 7.20928 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=33,a(2)=47} ogf] A171148 2.86304 [(13831873*f(x)-14600919)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+3130*x^2-f(x)-464*x+7) ogf] A171148 3.13572 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=7,a(1)=313,a(2)=30103} ogf] A171148 5.33920 [-(3130*x^2-464*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A171155 20.5583 [-(-1-x+x^3-x^2)/(-1+x)/(x^3+x^2+3*x-1) lgdogf] A171155 9.3492 [-f(x)^2*x^3-f(x)^2*x^2-3*f(x)^2*x+f(x)^2+x-1 ogf] A171160 17.4048 [-(x+3)/(x+1)/(2*x-1) ogf] A171160 19.7239 [1/2/(2*x+1)*(-x-3+(9*x^2+10*x+9)^(1/2)) revogf] A171160 22.6245 [-2*(2+6*x+x^2)/(x+3)/(2*x-1)/(x+1) lgdogf] A171160 8.9002 [(99*f(x)-233)*(2*f(x)*x^2+f(x)*x-f(x)+x+3) ogf] A171160 9.55144 [{-a(n+2)+a(n+1)+2*a(n),a(0)=3,a(1)=4} ogf] A171181 6.06281 [x^2*(9*x^19+x^18+x^16+x^14+x^12+x^10+x^8+x^6+x^4+x^2+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2/(x+1)^2 ogf] A171182 12.7447 [-x*(2*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x+1) ogf] A171182 14.3041 [-(1+4*x+4*x^5+8*x^4+5*x^2+8*x^3)/(x-1)/(x+1)/(x^2+x+1)/(2*x^2+2*x+1) lgdogf] A171182 6.96139 [-(f(x)+1)*(f(x)*x^4+f(x)*x^3+2*x^3-f(x)*x+2*x^2-f(x)+x) ogf] A171199 14.9168 [-1/2*(-1+(1-8*x^2+4*x^3+4*x)^(1/2))/(x-1) revogf] A171199 9.91209 [f(x)^2*x-f(x)*x^2-f(x)+x+1 ogf] A171216 4.38236 [-(390069621*f(x)-105516032)*(1024*f(x)*x^2-1025*f(x)*x+f(x)+1024*x-373) ogf] A171216 5.35111 [{a(n+2)-1025*a(n+1)+1024*a(n),a(0)=373,a(1)=381301} ogf] A171216 9.07777 [-(1024*x-373)/(1024*x-1)/(x-1) ogf] A171218 10.5623 [2*x*(x^2+1)/(x+1)/(x-1)^4 ogf] A171218 18.9941 [-(3+7*x+3*x^2+3*x^3)/(x-1)/(x+1)/(1+x^2) lgdogf] A171218 26.4214 [[-x^3+2*x+3] ogf_with_Euler_transform] A171219 13.7453 [-(64*x^28+36*x^10+16*x^2+5)/(x-1) ogf] A171220 12.1104 [(5*x+1)/(5*x-1)^2 ogf] A171220 14.6633 [-1/10*(-1-10*x+(1+40*x)^(1/2))/(5*x-1) revogf] A171220 21.4310 [-5*(3+5*x)/(5*x-1)/(5*x+1) lgdogf] A171220 6.39538 [(16*f(x)+65)*(25*f(x)*x^2-10*f(x)*x+f(x)-5*x-1) ogf] A171220 6.69634 [{-a(n+2)+10*a(n+1)-25*a(n),a(0)=1,a(1)=15} ogf] A171226 4.65327 [-(505417*f(x)-54936393)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+9190*x^2-f(x)-1190*x+19) ogf] A171226 5.20287 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=19,a(1)=919,a(2)=90109} ogf] A171226 8.69426 [-(9190*x^2-1190*x+19)/(x-1)/(100*x-1)/(10*x-1) ogf] A171231 11.8684 [-(3*x^2-2)/(x-1)/(2*x-1)/(x+1) ogf] A171231 12.9953 [-2*(2-x+3*x^4-3*x^2)/(-1+x)/(2*x-1)/(x+1)/(3*x^2-2) lgdogf] A171231 6.04014 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=4,a(2)=7} ogf] A171231 6.14996 [(33*f(x)+109)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+3*x^2+f(x)-2) ogf] A171237 13.1182 [-(-3-4*x+2*x^4-2*x^3+10*x^2)/(x-1)/(2*x^2-x+2)/(x^2+x-1) lgdogf] A171237 14.1312 [(2*x^2-x+2)/(x-1)/(x^2+x-1) ogf] A171237 7.3427 [-(127*f(x)+1638)*(f(x)*x^3-2*f(x)*x-2*x^2+f(x)+x-2) ogf] A171237 7.96762 [{a(n+3)-2*a(n+2)+a(n),a(0)=2,a(1)=3,a(2)=8} ogf] A171248 4.76852 [(53352893*f(x)-72993024)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+3230*x^2-f(x)-565*x+8) ogf] A171248 5.22267 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=8,a(1)=323,a(2)=30203} ogf] A171248 8.89265 [-(3230*x^2-565*x+8)/(x-1)/(100*x-1)/(10*x-1) ogf] A171270 10.8425 [-(-11+66*x-131*x^2+84*x^3)/(x-1)/(3*x-1)/(-1+2*x)/(7*x-3) lgdogf] A171270 11.6833 [(7*x-3)/(x-1)/(3*x-1)/(2*x-1) ogf] A171270 5.48609 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=3,a(1)=11,a(2)=33} ogf] A171270 5.68378 [-(14*f(x)+321)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-f(x)-7*x+3) ogf] A171272 11.1651 [(3*x^3+11*x^2+x+1)/(x-1)^4 ogf] A171272 18.2112 [-(3*x+1)*(x^2+10*x+5)/(-1+x)/(3*x^3+11*x^2+x+1) lgdogf] A171272 6.04776 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=77} ogf] A171272 6.09005 [(282*f(x)+1171)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-11*x^2+f(x)-x-1) ogf] A171371 14.8917 [2*(15*x-4)/(8*x^2+6*x-1) ogf] A171371 15.2918 [1/2*(-4-3*x+(16-6*x+17*x^2)^(1/2))/(-15+4*x) revogf] A171371 16.4107 [-(-9-64*x+120*x^2)/(15*x-4)/(8*x^2+6*x-1) lgdogf] A171371 7.36578 [-(59*f(x)-391)*(8*f(x)*x^2+6*f(x)*x-f(x)-30*x+8) ogf] A171371 8.25322 [{-a(n+2)+6*a(n+1)+8*a(n),a(0)=8,a(1)=18} ogf] A171372 10.8075 [-5*(x^4+x^3+3*x^2+x+1)*(x^4+x^3-x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+5*x^3+5*x^2+5*x+1) lgdogf] A171372 15.2507 [-(5*x^4+5*x^3+5*x^2+5*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A171373 7.19808 [-2*(3-14*x+x^8-32*x^6+34*x^5-28*x^3+12*x^7+29*x^2)/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1)/(x^4+6*x^3-4*x^2+x+1) lgdogf] A171373 8.02593 [-(x^4+6*x^3-4*x^2+x+1)/(2*x-1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A171375 4.7004 [(988535999*f(x)-270967859)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1310*x^2-f(x)-424*x+5) ogf] A171375 5.22267 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=5,a(1)=131,a(2)=10301} ogf] A171375 8.89265 [-(1310*x^2-424*x+5)/(x-1)/(100*x-1)/(10*x-1) ogf] A171382 16.0840 [(4*x-3)/(x+1)/(2*x-1) ogf] A171382 18.7707 [1/4*(-x-3+(9*x^2-10*x+9)^(1/2))/(-2+x) revogf] A171382 19.2781 [-(1-12*x+8*x^2)/(4*x-3)/(2*x-1)/(x+1) lgdogf] A171382 7.86714 [-(81*f(x)-242)*(2*f(x)*x^2+f(x)*x-f(x)-4*x+3) ogf] A171382 8.82656 [{a(n+2)-a(n+1)-2*a(n),a(0)=3,a(1)=-1} ogf] A171386 138.954 [1/(x+1) lgdogf] A171386 16.5141 [-x^2-x+f(x) ogf] A171386 24.3278 [[1-x] ogf_with_Euler_transform] A171386 46.3180 [2*x/(1+(1+2*x)^(1/2)) revegf] A171386 7.87594 [{-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A171389 10.1553 [1/2*ln(2*x+19)+arctanh((42*x+400)^(1/2))-1/2*ln(19)-arctanh(20) revegf] A171389 13.8960 [-(19*x-20)/(2*x-1)/(x-1) ogf] A171389 15.2329 [-(41-80*x+38*x^2)/(19*x-20)/(x-1)/(-1+2*x) lgdogf] A171389 7.2568 [(43*f(x)+821)*(2*f(x)*x^2-3*f(x)*x+f(x)+19*x-20) ogf] A171389 7.77513 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=20,a(1)=41} ogf] A171390 10.3090 [1/2*ln(2*x+35)+arctanh((74*x+1296)^(1/2))-1/2*ln(35)-arctanh(36) revegf] A171390 14.3214 [-(35*x-36)/(2*x-1)/(x-1) ogf] A171390 15.7089 [-(73-144*x+70*x^2)/(x-1)/(2*x-1)/(35*x-36) lgdogf] A171390 7.39676 [(75*f(x)+2629)*(2*f(x)*x^2-3*f(x)*x+f(x)+35*x-36) ogf] A171390 8.01314 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=36,a(1)=73} ogf] A171397 6.54440 [x*(2*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A171408 11.2130 [4*(2*x^2-2*x+1)/(x^4-2*x^3+4*x^2-3*x+1) ogf] A171408 11.7840 [-(2*x-1)*(2*x^4-4*x^3+4*x^2-2*x+1)/(2*x^2-2*x+1)/(x^4-2*x^3+4*x^2-3*x+1) lgdogf] A171408 6.3942 [f(x)*(f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2-3*f(x)*x-8*x^2+f(x)+8*x-4) ogf] A171410 2.90515 [(15705921*f(x)-935441)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1510*x^2-f(x)-626*x+7) ogf] A171410 3.13572 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=7,a(1)=151,a(2)=10501} ogf] A171410 5.33920 [-(1510*x^2-626*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A171415 13.5058 [x/(x^2-99*x+1) ogf] A171415 19.6208 [-(-99+2*x)/(x^2+1-99*x) lgdogf] A171415 5.59995 [{a(n+2)-99*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A171415 7.65327 [-f(x)*x^2+99*f(x)*x-f(x)+x ogf] A171415 9.60169 [-1/2*(-1-99*x+(1+101*x)^(1/2)*(97*x+1)^(1/2))/x revogf] A171416 11.2286 [-f(x)^2*x^2-f(x)*x^2+f(x)-x-1 ogf] A171416 16.5159 [1/2/(1+x)*(-1-x^2+(1+6*x^2+x^4+4*x)^(1/2)) revogf] A171418 14.9543 [-(x+1)^4/(x-1) ogf] A171418 43.2942 [[5-4*x] ogf_with_Euler_transform] A171418 44.7581 [(-5+3*x)/(x-1)/(x+1) lgdogf] A171418 6.75714 [{(n+3)*a(n+3)-5*a(n+2)+(2-n)*a(n+1),a(0)=1,a(1)=5,a(2)=11} ogf] A171418 9.03182 [-(7423*f(x)+5248)*(x^4+4*x^3+f(x)*x+6*x^2-f(x)+4*x+1) ogf] A171440 12.6258 [-(x+1)^5/(x-1) ogf] A171440 39.9745 [2*(-3+2*x)/(x-1)/(x+1) lgdogf] A171440 42.5427 [[6-5*x] ogf_with_Euler_transform] A171440 6.64025 [{(n+3)*a(n+3)-6*a(n+2)+(3-n)*a(n+1),a(0)=1,a(1)=6,a(2)=16} ogf] A171441 11.2054 [-(x+1)^6/(x-1) ogf] A171441 42.5427 [[7-6*x] ogf_with_Euler_transform] A171441 43.9720 [(-7+5*x)/(x-1)/(x+1) lgdogf] A171441 6.64025 [{(n+3)*a(n+3)-7*a(n+2)+(4-n)*a(n+1),a(0)=1,a(1)=7,a(2)=22} ogf] A171442 36.8154 [2*(-4+3*x)/(x-1)/(x+1) lgdogf] A171442 39.1361 [[8-7*x] ogf_with_Euler_transform] A171442 6.11719 [{(n+3)*a(n+3)-8*a(n+2)+(5-n)*a(n+1),a(0)=1,a(1)=8,a(2)=29} ogf] A171442 9.27888 [-(x+1)^7/(x-1) ogf] A171443 39.3242 [[9-8*x] ogf_with_Euler_transform] A171443 40.6955 [(-9+7*x)/(x-1)/(x+1) lgdogf] A171443 6.14660 [{(n+3)*a(n+3)-9*a(n+2)+(6-n)*a(n+1),a(0)=1,a(1)=9,a(2)=37} ogf] A171443 8.46726 [-(x+1)^8/(x-1) ogf] A171445 27.9903 [[25-24*x] ogf_with_Euler_transform] A171445 29.0267 [(-25+23*x)/(x-1)/(x+1) lgdogf] A171445 4.68791 [{(n+3)*a(n+3)-25*a(n+2)+(22-n)*a(n+1),a(0)=1,a(1)=25,a(2)=301} ogf] A171449 10.9709 [{a(n+2)-2*a(n+1),a(0)=-1,a(1)=2} ogf] A171449 12.5382 [-f(x)*(2*f(x)*x-f(x)+4*x-1) ogf] A171449 21.3488 [-(4*x-1)/(2*x-1) ogf] A171449 22.9213 [1/8-1/4*x-1/8*(1+12*x+4*x^2)^(1/2) revogf] A171449 41.0171 [-2/(-1+4*x)/(2*x-1) lgdogf] A171450 4.44928 [-10*f(x)^2*x^3+10*f(x)^2*x^2+2*f(x)*x^3-2*f(x)^2*x+3*f(x)*x^2-5*f(x)*x-6*x^2+f(x)+6*x-1 ogf] A171452 10.6718 [-x^2*(2*x+1)/(x^2+x+1)/(x-1)^3 ogf] A171452 18.4944 [-(4+6*x+8*x^3+9*x^2)/(x-1)/(2*x+1)/(x^2+x+1) lgdogf] A171461 3.13572 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=8,a(1)=161,a(2)=10601} ogf] A171461 5.33920 [-(1610*x^2-727*x+8)/(x-1)/(100*x-1)/(10*x-1) ogf] A171461 5.48534 [(494817037*f(x)+24574568)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1610*x^2-f(x)-727*x+8) ogf] A171463 17.1067 [-(2*x^2-2*x-1)/(x-1)^2 ogf] A171463 30.6740 [-2*(-2+x)/(x-1)/(2*x^2-2*x-1) lgdogf] A171463 8.88876 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=5} ogf] A171463 9.74896 [(f(x)+7)*(f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A171470 10.2960 [-6*(12*x-5)*(4*x-3)/(20*x-11)/(-1+4*x)/(-1+2*x)/(4*x+1) lgdogf] A171470 10.3296 [-(4*x+1)*(20*x-11)/(4*x-1)/(2*x-1) ogf] A171470 5.45716 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=11,a(1)=90,a(2)=372} ogf] A171470 5.84302 [(17*f(x)+488)*(8*f(x)*x^2-6*f(x)*x+80*x^2+f(x)-24*x-11) ogf] A171471 4.23210 [{a(n+4)-7*a(n+3)+14*a(n+2)-8*a(n+1),a(0)=35,a(1)=225,a(2)=837,a(3)=3213} ogf] A171471 4.4202 [(10667*f(x)+576164)*(8*f(x)*x^3-14*f(x)*x^2+224*x^3+7*f(x)*x-248*x^2-f(x)-20*x+35) ogf] A171471 6.71894 [-9*(25-164*x+392*x^2-384*x^3+128*x^4)/(x-1)/(-1+4*x)/(-1+2*x)/(224*x^3-248*x^2-20*x+35) lgdogf] A171471 7.85166 [-(224*x^3-248*x^2-20*x+35)/(x-1)/(2*x-1)/(4*x-1) ogf] A171472 13.0361 [-(12*x-7)/(4*x-1)/(2*x-1) ogf] A171472 13.0511 [-2*(12*x-5)*(4*x-3)/(12*x-7)/(2*x-1)/(-1+4*x) lgdogf] A171472 13.6581 [-1/8*(-7-6*x+(49+36*x+4*x^2)^(1/2))/(3+2*x) revogf] A171472 6.73778 [(17*f(x)+106)*(8*f(x)*x^2-6*f(x)*x+f(x)+12*x-7) ogf] A171472 7.22484 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=7,a(1)=30} ogf] A171473 4.60274 [(372483*f(x)+4213196)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+72*x^2-f(x)-110*x+35) ogf] A171473 4.95380 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=35,a(1)=135,a(2)=527} ogf] A171473 7.15462 [-(135-836*x+1876*x^2-1760*x^3+576*x^4)/(-1+x)/(-1+4*x)/(2*x-1)/(72*x^2-110*x+35) lgdogf] A171473 8.85679 [-(72*x^2-110*x+35)/(x-1)/(2*x-1)/(4*x-1) ogf] A171475 12.5420 [-(x-1)*(x+1)/(4*x-1)/(2*x-1) ogf] A171475 13.6821 [-6*(1-3*x+x^2)/(x-1)/(-1+4*x)/(-1+2*x)/(x+1) lgdogf] A171475 5.96656 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=1,a(1)=6,a(2)=27} ogf] A171475 6.75337 [(49*f(x)+79)*(8*f(x)*x^2-6*f(x)*x+x^2+f(x)-1) ogf] A171476 16.2707 [-1/16*(-1-6*x+(1+12*x+4*x^2)^(1/2))/x revogf] A171476 18.6229 [1/(4*x-1)/(2*x-1) ogf] A171476 20.7591 [-2*(-3+8*x)/(-1+4*x)/(-1+2*x) lgdogf] A171476 7.49459 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=6} ogf] A171476 7.58712 [(5*f(x)+4)*(8*f(x)*x^2-6*f(x)*x+f(x)-1) ogf] A171477 16.1725 [-(7-28*x+24*x^2)/(2*x-1)/(4*x-1)/(x-1) lgdogf] A171477 16.5026 [-1/(x-1)/(2*x-1)/(4*x-1) ogf] A171477 5.50086 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=7,a(2)=35} ogf] A171477 6.0298 [(381*f(x)-136)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+1) ogf] A171478 11.6129 [-(x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A171478 12.0501 [-2*(4-14*x+8*x^3+5*x^2)/(x-1)/(4*x-1)/(2*x-1)/(x+1) lgdogf] A171478 5.50086 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=8,a(2)=42} ogf] A171478 5.7009 [(9203*f(x)-4628)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A171479 10.1145 [-(x^2+x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A171479 10.2426 [-(8-26*x+8*x^4+16*x^3+3*x^2)/(2*x-1)/(4*x-1)/(x-1)/(x^2+x+1) lgdogf] A171479 5.40602 [(974*f(x)-441)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+x^2-f(x)+x+1) ogf] A171479 5.50086 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=8,a(2)=43} ogf] A171480 10.2662 [-(x+1)^2/(x-1)/(2*x-1)/(4*x-1) ogf] A171480 12.4793 [-(9-35*x+24*x^2+8*x^3)/(x-1)/(4*x-1)/(2*x-1)/(x+1) lgdogf] A171480 5.30421 [(62554*f(x)-39585)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+x^2-f(x)+2*x+1) ogf] A171480 5.58337 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=9,a(2)=50} ogf] A171483 5.08725 [-x*(10*x^27+10*x^23+10*x^19+x^18+x^17+x^16-100*x^15-10*x^11-10*x^7-10*x^3-x^2-x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A171494 14.6664 [-2*f(x)*x+f(x)-4*x-6 ogf] A171494 17.8376 [-2*(2*x+3)/(2*x-1) ogf] A171494 19.0153 [-3/4-1/4*x+1/4*((9+x)*(1+x))^(1/2) revogf] A171494 34.0275 [-8/(2*x+3)/(-1+2*x) lgdogf] A171494 9.04097 [{a(n+2)-2*a(n+1),a(0)=6,a(1)=16} ogf] A171495 14.7353 [-2*(x-3)/(3*x-1)/(x-1) ogf] A171495 17.5733 [-(11-18*x+3*x^2)/(x-1)/(-1+3*x)/(x-3) lgdogf] A171495 17.5733 [-(-3-2*x+((9+x)*(1+x))^(1/2))/(2+3*x) revogf] A171495 7.62171 [(13*f(x)+43)*(3*f(x)*x^2-4*f(x)*x+f(x)+2*x-6) ogf] A171495 7.98902 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=6,a(1)=22} ogf] A171496 11.0811 [1/4*ln(x+1)+1/2*arctanh((9+8*x)^(1/2))-1/2*arctanh(3) revegf] A171496 13.3258 [-2*(4*x-3)/(4*x-1)/(2*x-1) ogf] A171496 13.6581 [-2*(7-24*x+16*x^2)/(4*x-3)/(2*x-1)/(-1+4*x) lgdogf] A171496 6.97282 [(9*f(x)+44)*(8*f(x)*x^2-6*f(x)*x+f(x)+8*x-6) ogf] A171496 7.22484 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=6,a(1)=28} ogf] A171497 14.9653 [-2*f(x)*x+f(x)-2*x-3 ogf] A171497 17.3640 [-3/4-1/2*x+1/4*((2*x+9)*(2*x+1))^(1/2) revogf] A171497 18.2010 [-(2*x+3)/(2*x-1) ogf] A171497 34.7280 [-8/(2*x+3)/(-1+2*x) lgdogf] A171497 9.35331 [{a(n+2)-2*a(n+1),a(0)=3,a(1)=8} ogf] A171498 13.9485 [-1/2*(-3-4*x+((2*x+9)*(2*x+1))^(1/2))/(1+3*x) revogf] A171498 14.2346 [-(x-3)/(3*x-1)/(x-1) ogf] A171498 16.9644 [-(11-18*x+3*x^2)/(x-1)/(-1+3*x)/(x-3) lgdogf] A171498 7.36272 [(26*f(x)+43)*(3*f(x)*x^2-4*f(x)*x+f(x)+x-3) ogf] A171498 7.71755 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=3,a(1)=11} ogf] A171499 11.2542 [1/4*ln(1+2*x)+1/2*arctanh((16*x+9)^(1/2))-1/2*arctanh(3) revegf] A171499 14.2839 [-(4*x-3)/(4*x-1)/(2*x-1) ogf] A171499 15.0056 [-2*(7-24*x+16*x^2)/(4*x-3)/(2*x-1)/(4*x-1) lgdogf] A171499 7.47414 [(9*f(x)+22)*(8*f(x)*x^2-6*f(x)*x+f(x)+4*x-3) ogf] A171499 7.74428 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=3,a(1)=14} ogf] A171501 13.0849 [-(4*x+1)*x/(2*x+1)/(x-1) ogf] A171501 18.4527 [-(3+4*x+8*x^2)/(-1+x)/(2*x+1)/(4*x+1) lgdogf] A171501 18.9653 [1/4*(x-1+(9*x^2+14*x+1)^(1/2))/(x+2) revogf] A171501 6.34814 [{a(n+3)+a(n+2)-2*a(n+1),a(0)=0,a(1)=1,a(2)=3} ogf] A171501 7.54307 [-f(x)*(2*f(x)*x^2-f(x)*x+4*x^2-f(x)+x) ogf] A171507 11.6012 [-x^2*(3*x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A171507 15.5575 [-2*(-3-2*x+9*x^3+4*x^2)/(x-1)/(2*x-1)/(3*x+1)/(x+1) lgdogf] A171507 4.08410 [{(8*n+18)*a(n+1)+(-4*n-1)*a(n+2)+(-8*n-14)*a(n+3)+(4*n+5)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A171507 6.01868 [(128*f(x)-237)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*x^3+3*f(x)*x+x^2-f(x)) ogf] A171510 14.7222 [-(-1-4*x+19*x^2)/(19*x-2)/(x^2+10*x-1) lgdogf] A171510 15.1201 [(-1-5*x+(1-9*x+26*x^2)^(1/2))/(-19+x) revogf] A171510 15.2226 [(19*x-2)/(x^2+10*x-1) ogf] A171510 7.86223 [(290*f(x)-579)*(f(x)*x^2+10*f(x)*x-f(x)-19*x+2) ogf] A171510 8.62002 [{-a(n+2)+10*a(n+1)+a(n),a(0)=2,a(1)=1} ogf] A171513 2.72319 [-(1759634151*f(x)+474298009)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1810*x^2-f(x)-929*x+10) ogf] A171513 3.13060 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=10,a(1)=181,a(2)=10801} ogf] A171513 5.30115 [-(1810*x^2-929*x+10)/(x-1)/(100*x-1)/(10*x-1) ogf] A171516 15.1386 [(2*x^2+1)/(x-1)/(x^2+x-1) ogf] A171516 15.4778 [-(-2-4*x+2*x^4+7*x^2)/(x-1)/(2*x^2+1)/(x^2+x-1) lgdogf] A171516 7.89137 [-(4*f(x)-67)*(f(x)*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A171516 7.89137 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A171520 5.43957 [-(x^25-x^24+x^13-x^12+x^5-x^4+x^2-x-1)/(x-1)^2 ogf] A171522 5.88446 [-x*(x^8+4*x^6+16*x^5+190*x^4+64*x^3+180*x^2+16*x+9)/(x-1)^5/(x+1)^5 ogf] A171522 5.92837 [{(-n^2-10*n-25)*a(n+1)+(n^2+2*n+1)*a(n+3),a(0)=0,a(1)=9,a(2)=16} ogf] A171522 6.31911 [-2*(8+225*x+40*x^6+582*x^5+264*x^4+1100*x^3+12*x^7+168*x^2+x^9)/(x-1)/(x+1)/(x^8+4*x^6+16*x^5+190*x^4+64*x^3+180*x^2+16*x+9) lgdogf] A171526 11.1772 [(1-x+4*x^4-11*x^3+9*x^2)/(-1+x)/(2*x^4-3*x^3+x-1) lgdogf] A171526 5.21603 [-(28*f(x)+571)*(2*x^4+f(x)*x^2-3*x^3-2*f(x)*x+f(x)+x-1) ogf] A171526 9.23493 [-(2*x^4-3*x^3+x-1)/(x-1)^2 ogf] A171552 3.76955 [{-8*a(n)*n-4*a(n+1)-2*a(n+2)+(n-1)*a(n+3),a(0)=1,a(1)=2,a(2)=0,a(3)=-8,a(4)=-16} ogf] A171552 5.15495 [(f(x)+2)*(16*f(x)*x^4-8*f(x)*x^3+16*x^3-2*f(x)*x+4*x^2+f(x)-1) ogf] A171552 9.00191 [-(16*x^3+4*x^2-1)/(4*x^2+2*x+1)/(2*x-1)^2 ogf] A171552 9.26625 [-2*(2*x+1)*(4*x^2+1)*(8*x^2+4*x-1)/(2*x-1)/(4*x^2+2*x+1)/(16*x^3+4*x^2-1) lgdogf] A171553 4.46462 [-(8908536791*f(x)+3384155329)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1910*x^2-f(x)-1030*x+11) ogf] A171553 5.20287 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=11,a(1)=191,a(2)=10901} ogf] A171553 8.69426 [-(1910*x^2-1030*x+11)/(x-1)/(100*x-1)/(10*x-1) ogf] A171556 3.77061 [{(4*n^2+14*n+12)*a(n+1)+(-5*n^2-19*n-16)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A171556 5.32673 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-7*f(x)*x^2+10*f(x)*x+9*x^2-3*f(x)-8*x+3 ogf] A171557 3.26384 [{(108*n+189)*a(n+1)+36*a(n+2)+12*a(n+3)+(-4*n-3)*a(n+4),a(0)=1,a(1)=3,a(2)=-9,a(3)=-81} ogf] A171557 4.50095 [-(8*f(x)+91)*(81*f(x)*x^4-27*f(x)*x^3+81*x^3-3*f(x)*x+18*x^2+f(x)-1) ogf] A171557 7.36651 [-3*(-1+9*x+567*x^4+135*x^3+729*x^5+63*x^2)/(-1+3*x)/(9*x^2+3*x+1)/(81*x^3+18*x^2-1) lgdogf] A171557 8.08865 [-(81*x^3+18*x^2-1)/(9*x^2+3*x+1)/(3*x-1)^2 ogf] A171559 10.9709 [{a(n+2)-2*a(n+1),a(0)=3,a(1)=2} ogf] A171559 17.5534 [-2*f(x)*x+f(x)+4*x-3 ogf] A171559 21.3488 [(4*x-3)/(2*x-1) ogf] A171559 23.5091 [3/8+1/4*x-1/8*(9-4*x+4*x^2)^(1/2) revogf] A171559 45.6352 [2/(2*x-1)/(4*x-3) lgdogf] A171583 2.81975 [(436705819*f(x)-568522137)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+3430*x^2-f(x)-767*x+10) ogf] A171583 3.13060 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=10,a(1)=343,a(2)=30403} ogf] A171583 5.30115 [-(3430*x^2-767*x+10)/(x-1)/(100*x-1)/(10*x-1) ogf] A171590 10.1530 [-(32*x^2-22*x-1)/(x-1)/(2*x+1)/(4*x-1) ogf] A171590 5.46702 [(227*f(x)+376)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+32*x^2+f(x)-22*x-1) ogf] A171590 5.61088 [{-a(n+3)+3*a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=25,a(2)=49} ogf] A171590 8.70969 [-(25-52*x+256*x^4+204*x^2-352*x^3)/(x-1)/(2*x+1)/(4*x-1)/(32*x^2-22*x-1) lgdogf] A171621 4.89428 [{(-n^2-10*n-21)*a(n+1)+(n^2+6*n+5)*a(n+3),a(0)=0,a(1)=5,a(2)=3} ogf] A171621 7.65811 [x*(3*x^4+x^3-6*x^2-3*x-5)/(x-1)^3/(x+1)^3 ogf] A171621 9.00731 [-3*(-1-14*x+2*x^5+x^4-4*x^3-4*x^2)/(-1+x)/(x+1)/(3*x^4+x^3-6*x^2-3*x-5) lgdogf] A171623 7.60260 [(x^7+x^2+x-4)/(x-1) ogf] A171623 8.80204 [(3-2*x-7*x^6+6*x^7+x^2)/(-1+x)/(x^7+x^2+x-4) lgdogf] A171624 12.1028 [(2+3*x^4-4*x^3)/(-1+x)/(x^4-x-1) lgdogf] A171624 17.3225 [(x^4-x-1)/(x-1) ogf] A171624 9.86723 [-(f(x)+1)*(-x^4+f(x)*x-f(x)+x+1) ogf] A171627 12.1028 [(3+3*x^4-4*x^3)/(-1+x)/(x^4+x-4) lgdogf] A171627 5.30182 [(f(x)+23)*(-x^4+f(x)*x-f(x)-x+4) ogf] A171627 8.95418 [(x^4+x-4)/(x-1) ogf] A171630 2.94507 [(706277*f(x)-860859)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+3530*x^2-f(x)-868*x+11) ogf] A171630 3.13060 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=11,a(1)=353,a(2)=30503} ogf] A171630 5.30115 [-(3530*x^2-868*x+11)/(x-1)/(100*x-1)/(10*x-1) ogf] A171638 4.71837 [-x*(9*x^8+x^7-36*x^6-5*x^5+70*x^4+19*x^3+316*x^2+9*x+25)/(x-1)^5/(x+1)^5 ogf] A171640 11.3565 [-(3*x^2-8*x+1)/(x-1)/(x^2-10*x+1) ogf] A171640 6.06324 [(1317*f(x)-121)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+3*x^2-f(x)-8*x+1) ogf] A171640 6.22141 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=25} ogf] A171647 15.2185 [(2*x+1)/(2*x^2-1)^2 ogf] A171647 21.5046 [-2*(4*x+1+6*x^2)/(2*x+1)/(2*x^2-1) lgdogf] A171647 3.76619 [{(n+4)*a(n+4)+(4+2*n)*a(n+3)+(-12-2*n)*a(n+2)+(-16-4*n)*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A171647 9.68448 [f(x)*(4*f(x)*x^4-4*f(x)*x^2+f(x)-2*x-1) ogf] A171648 14.9206 [-2*(1+12*x^4+2*x+8*x^3+2*x^2)/(2*x+1)/(4*x^4+2*x^2-1) lgdogf] A171648 16.4334 [-(2*x+1)/(4*x^4+2*x^2-1) ogf] A171648 9.94117 [-f(x)*(4*f(x)*x^4+2*f(x)*x^2-f(x)+2*x+1) ogf] A171656 4.58864 [(5376823639*f(x)-5525978277)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+3730*x^2-f(x)-1070*x+13) ogf] A171656 5.20287 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=13,a(1)=373,a(2)=30703} ogf] A171656 8.69426 [-(3730*x^2-1070*x+13)/(x-1)/(100*x-1)/(10*x-1) ogf] A171662 7.25614 [-(3+6*x+8*x^7+2*x^8+6*x^2+10*x^3+8*x^4+14*x^5+11*x^6+4*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2+x+1) lgdogf] A171662 8.27820 [-x^2*(x^4+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A171663 6.03517 [-(5+104*x^6-16*x^5-36*x^2+32*x^3+16*x^4+160*x^8-256*x^7)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1)/(20*x^4-16*x^3-6*x^2+4*x+1) lgdogf] A171663 7.51518 [-(20*x^4-16*x^3-6*x^2+4*x+1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A171680 6.58854 [-(20*x^4-33*x^3-71*x^2+21*x-1)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A171681 5.24144 [-(2*x^4-22*x^3+31*x^2+14*x-1)/(x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A171711 14.7995 [x*(1+x^4-2*x^2-x)/(x-1)^2/(1+x)^2 revogf] A171714 8.08198 [-(x^4+4*x^3+14*x^2+4*x+1)/(x+1)/(x-1)^5 ogf] A171718 2.79989 [(250957993*f(x)-232418619)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+3830*x^2-f(x)-1171*x+14) ogf] A171718 3.13060 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=14,a(1)=383,a(2)=30803} ogf] A171718 5.23139 [-(3830*x^2-1171*x+14)/(x-1)/(100*x-1)/(10*x-1) ogf] A171722 4.80551 [-x*(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9-9*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A171723 4.77981 [-x*(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9-10*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A171733 5.78227 [(x^8-2*x^7-4*x^6+2*x^5-18*x^4+2*x^3-4*x^2-2*x+1)/(x+1)^4/(x-1)^5 ogf] A171733 7.58133 [-(-1-x+x^9-3*x^8-6*x^7-10*x^6-112*x^5-14*x^2-98*x^3+4*x^4)/(x-1)/(x+1)/(x^8-2*x^7-4*x^6+2*x^5-18*x^4+2*x^3-4*x^2-2*x+1) lgdogf] A171734 11.4023 [-2*x*(3+x^4+x^6+30*x^3-5*x^2+18*x)/(-1+x)/(x+1)/(x^6-x^4+12*x^3-x^2+1) lgdogf] A171734 8.61656 [2*(x^6-x^4+12*x^3-x^2+1)/(x-1)^4/(x+1)^4 ogf] A171736 2.83989 [(46032393*f(x)-94375036)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+7270*x^2-f(x)-1049*x+16) ogf] A171736 3.13060 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=16,a(1)=727,a(2)=70207} ogf] A171736 5.23139 [-(7270*x^2-1049*x+16)/(x-1)/(100*x-1)/(10*x-1) ogf] A171753 5.04868 [-(5*f(x)+11)*(21*f(x)*x^3-25*f(x)*x^2+9*f(x)*x+8*x^2-f(x)-6*x+1) ogf] A171753 5.18037 [{-a(n+3)+9*a(n+2)-25*a(n+1)+21*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A171753 7.98906 [-(3-34*x+141*x^2-252*x^3+168*x^4)/(3*x-1)/(-1+2*x)/(-1+4*x)/(7*x^2-6*x+1) lgdogf] A171753 9.45624 [-(4*x-1)*(2*x-1)/(3*x-1)/(7*x^2-6*x+1) ogf] A171765 6.91335 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A171766 3.13060 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=17,a(1)=737,a(2)=70307} ogf] A171766 4.68627 [(39924313*f(x)-115083871)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+7370*x^2-f(x)-1150*x+17) ogf] A171766 5.23139 [-(7370*x^2-1150*x+17)/(x-1)/(100*x-1)/(10*x-1) ogf] A171769 13.5317 [-(x^2+x+2)/(x+1)/(x-1)^3 ogf] A171769 19.2807 [-(2*x+1)*(x^2+2*x+5)/(x-1)/(x+1)/(2+x^2+x) lgdogf] A171769 6.93644 [(13408*f(x)-47037)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+x^2-f(x)+x+2) ogf] A171790 4.27576 [{(-256*n^3-128*n^2+16*n+8)*a(n)+(-27*n^3-54*n^2-33*n-6)*a(n+1),a(0)=1,a(1)=1} ogf] A171797 6.95632 [-(110*x^20+110*x^19+110*x^11+202*x^10+101*x^9+110*x+101)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A171813 8.13230 [(101+1266*x+276*x^2-58*x^3-456*x^4+36*x^5)/(x-1)/(9*x^5-137*x^4-303*x^3-633*x^2-100*x-1) lgdogf] A171813 9.48569 [(9*x^5-137*x^4-303*x^3-633*x^2-100*x-1)/(x-1) ogf] A171816 6.13826 [2*(4+764*x^7-73*x+809*x^5+665*x^8+827*x^6+269*x^2+530*x^3+710*x^4)/(10*x-1)/(19*x^8+28*x^7+37*x^6+46*x^5+55*x^4+64*x^3+73*x^2+82*x-9) lgdogf] A171816 8.13449 [(19*x^8+28*x^7+37*x^6+46*x^5+55*x^4+64*x^3+73*x^2+82*x-9)/(10*x-1) ogf] A171825 4.04940 [-(8999010*x^8+910090991*x^7+989990000*x^6+98999010*x^5+11099990*x^4+1010999*x^3+11109*x^2+101*x+1)/(x-1)/(x+1) ogf] A171834 10.2505 [-(3+14*x+17*x^4+20*x^3+3*x^6+17*x^2+22*x^5)/(x-1)/(x+1)/(x^2+1)/(x^3+5*x^2+x+1) lgdogf] A171834 9.71101 [-(x^3+5*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A171835 8.87566 [-(2*x^4+x^3+x^2+x+3)/(x+1)/(x^2+1)/(x-1)^3 ogf] A171835 9.09874 [-(7+10*x+13*x^4+32*x^3+7*x^6+13*x^2+10*x^5+4*x^7)/(x-1)/(x+1)/(x^2+1)/(2*x^4+x^3+x^2+x+3) lgdogf] A171842 16.6338 [-(2*x-1)/(x-1)/(x^2+2*x-1) ogf] A171842 19.2774 [-(1-2*x+4*x^3-x^2)/(-1+x)/(2*x-1)/(x^2+2*x-1) lgdogf] A171842 7.87134 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A171842 8.23916 [-(f(x)-1)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A171856 10.3375 [-(x^3+x+1)/(x^4+x^3-x^2+2*x-1) ogf] A171856 11.6550 [-(3-2*x+2*x^3+4*x^4+5*x^2+x^6)/(x^3+x+1)/(x^4+x^3-x^2+2*x-1) lgdogf] A171856 5.52936 [(4*f(x)-1)*(f(x)*x^4+f(x)*x^3-f(x)*x^2+x^3+2*f(x)*x-f(x)+x+1) ogf] A171857 10.2892 [-(x^3+x^2+1)/(x^4+x^3-x^2+2*x-1) ogf] A171857 12.7071 [-(2+2*x^5+2*x^4+4*x^2+x^6)/(x^3+x^2+1)/(x^4+x^3-x^2+2*x-1) lgdogf] A171857 6.00892 [f(x)*(f(x)*x^4+f(x)*x^3-f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+1) ogf] A171858 8.45290 [-(2+3*x^2+4*x^3-x^4+4*x^7+5*x^6+x^8)/(x+1)/(x^3+x^2-x+1)/(x^5+2*x^4-x^3+2*x-1) lgdogf] A171858 9.22003 [-(x+1)*(x^3+x^2-x+1)/(x^5+2*x^4-x^3+2*x-1) ogf] A171861 12.9799 [-(-2-4*x+4*x^3+2*x^5+3*x^4)/(x-1)/(x+x^2+1)/(x^3+x^2-1) lgdogf] A171861 13.4793 [(x^2+x+1)/(x-1)/(x^3+x^2-1) ogf] A171861 6.63096 [{-a(n+4)+a(n+3)+a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A171861 7.40756 [(7*f(x)-3)*(f(x)*x^4-f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A171869 12.0737 [2*x^4+2*x^3-2*f(x)*x+2*x^2+f(x)-1 ogf] A171869 13.7683 [(2*x^4+2*x^3+2*x^2-1)/(2*x-1) ogf] A171869 15.7236 [2*(1-2*x+6*x^4-x^2)/(2*x-1)/(2*x^4+2*x^3+2*x^2-1) lgdogf] A171869 7.26658 [{-a(n+5)+2*a(n+4),a(0)=1,a(1)=2,a(2)=2,a(3)=2,a(4)=2} ogf] A171891 16.6968 [-(8*x^2-8*x-1)/(x-1)^2 ogf] A171891 27.9998 [-2*(-5+4*x)/(x-1)/(8*x^2-8*x-1) lgdogf] A171891 8.50893 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=10,a(2)=11} ogf] A171891 9.41413 [(f(x)+49)*(f(x)*x^2-2*f(x)*x+8*x^2+f(x)-8*x-1) ogf] A171892 15.8542 [-x*(7*x^2-7*x-1)/(x-1)^2 ogf] A171892 30.7207 [-(-9+7*x)/(x-1)/(7*x^2-7*x-1) lgdogf] A171892 7.92709 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=9,a(3)=10} ogf] A171892 8.77367 [(930*f(x)+44233)*(f(x)*x^2+7*x^3-2*f(x)*x-7*x^2+f(x)-x) ogf] A171893 15.7269 [-(7*x^3-7*x^2-1)/(x-1)^2 ogf] A171893 20.4521 [(2+14*x+7*x^3-21*x^2)/(x-1)/(7*x^3-7*x^2-1) lgdogf] A171893 7.72788 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=10,a(3)=11} ogf] A171893 8.37787 [-(257*f(x)+14329)*(f(x)*x^2+7*x^3-2*f(x)*x-7*x^2+f(x)-1) ogf] A171905 15.066 [-x^3-f(x)*x+2*x^2+f(x)-x-1 ogf] A171905 17.3401 [-(x^3-2*x^2+x+1)/(x-1) ogf] A171905 21.5533 [(-2+4*x+2*x^3-5*x^2)/(x-1)/(x^3-2*x^2+x+1) lgdogf] A171905 9.67394 [{a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=0,a(3)=1} ogf] A171949 16.2698 [x^11*(x-1)-x^3+x^2+2 ogf_with_Euler_transform] A171950 12.3761 [-(2*x^5-4*x^4+x^3+x-1)/(x-1)^2 ogf] A171950 14.2577 [(1-x+17*x^3+6*x^5-18*x^4-3*x^2)/(x-1)/(2*x^5-4*x^4+x^3+x-1) lgdogf] A171960 9.17584 [-(54*x^28-54*x^27+18*x^10-18*x^9+6*x^4-6*x^3+3*x-2)/(x-1)^2 ogf] A171965 22.3091 [[x^5-x^3+x+3] ogf_with_Euler_transform] A171965 8.92060 [x^3*(x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^4 ogf] A171965 9.71393 [-(3+5*x+3*x^6+12*x^5+7*x^7+6*x^4+6*x^2+6*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A171970 5.92761 [x*(x^14+x^12+x^11+x^10+x^9+x^8+x^7+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A171984 7.78561 [(x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+4)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A172011 12.4958 [-2*f(x)*x^2-2*f(x)*x+f(x)-12*x ogf] A172011 18.9679 [1/2*(-6-x+(12+4*x+x^2)^(1/2)*3^(1/2))/x revogf] A172011 19.7301 [-12*x/(2*x^2+2*x-1) ogf] A172011 30.8228 [-2*(1+2*x)/(2*x^2-1+2*x) lgdogf] A172011 9.14323 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=0,a(1)=12} ogf] A172012 16.6525 [(3*x-2)/(3*x^2+3*x-1) ogf] A172012 18.8803 [-3*(-1-4*x+3*x^2)/(3*x-2)/(3*x^2+3*x-1) lgdogf] A172012 8.51548 [(56*f(x)-103)*(3*f(x)*x^2+3*f(x)*x-f(x)-3*x+2) ogf] A172012 9.13857 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=2,a(1)=3} ogf] A172020 7.32122 [-(x^8-2*x^4-x^3+x-1)/(x^3-x+1)/(x^3-x^2+2*x-1)/(x^3-x-1) ogf] A172025 3.54475 [{(4*n^2+34*n+70)*a(n+1)+(7*n^2+59*n+122)*a(n+2)+(-2*n^2-18*n-36)*a(n+3),a(0)=1,a(1)=4,a(2)=16} ogf] A172033 16.5808 [-(x^5-x^4+1)/(x^4-1) ogf_with_Euler_transform] A172043 13.3061 [-(7*x^2+2*x+1)/(x-1)^3 ogf] A172043 22.7531 [-(5+18*x+7*x^2)/(x-1)/(7*x^2+2*x+1) lgdogf] A172043 6.87858 [(6100*f(x)-17853)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+2*x+1) ogf] A172043 7.18294 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A172044 12.8935 [(5*x^2-14*x-1)/(x-1)^3 ogf] A172044 20.6361 [-(-17-18*x+5*x^2)/(x-1)/(5*x^2-14*x-1) lgdogf] A172044 6.6066 [(21100*f(x)-294087)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+14*x+1) ogf] A172044 7.01227 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=43} ogf] A172045 18.9931 [-(17+58*x+15*x^2)/(x-1)/(5*x^2+12*x+1) lgdogf] A172045 3.66201 [{(-3-n)*a(n+4)+(-5-11*n)*a(n+3)+(65+7*n)*a(n+2)+(15+5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=17,a(3)=80} ogf] A172045 8.71907 [-x*(5*x^2+12*x+1)/(x-1)^5 ogf] A172046 21.9919 [x^6-x^5+x^2+3 ogf_with_Euler_transform] A172046 7.75132 [-(3+3*x+6*x^4+6*x^3+13*x^6+6*x^2+7*x^9+6*x^5+3*x^7+3*x^8)/(x-1)/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A172046 8.70022 [x^3*(x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A172047 18.8382 [-(25+98*x+27*x^2)/(x-1)/(9*x^2+20*x+1) lgdogf] A172047 3.56093 [{(n+3)*a(n+4)+(13+19*n)*a(n+3)+(-109-11*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=0,a(1)=1,a(2)=25,a(3)=124} ogf] A172047 8.64798 [-x*(9*x^2+20*x+1)/(x-1)^5 ogf] A172050 7.29397 [x*(2*x^4+8*x^3-3*x^2-8*x+4)/(x-1)^2/(x^2+x-1)^2 ogf] A172050 8.71061 [-2*(-4+11*x-2*x^4-16*x^3+2*x^6+12*x^5)/(x-1)/(x^2+x-1)/(2*x^4+8*x^3-3*x^2-8*x+4) lgdogf] A172051 20.0602 [-x^5/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A172051 25.5968 [-6*x^5/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A172051 34.1499 [[x^5] ogf_with_Euler_transform] A172060 4.85988 [{(-16*n-40)*a(n+1)+(8*n+22)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=2,a(2)=14} ogf] A172060 5.63303 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+32*f(x)*x^2+f(x)^2-16*f(x)*x+2*f(x)-4*x ogf] A172073 11.9050 [x*(11*x+1)/(x-1)^4 ogf] A172073 29.7948 [-3*(5+11*x)/(11*x+1)/(x-1) lgdogf] A172073 5.13550 [{(-2-n)*a(n+3)+(5-10*n)*a(n+2)+(33+11*n)*a(n+1),a(0)=0,a(1)=1,a(2)=15} ogf] A172073 5.41884 [-(64952064*f(x)+309160393)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-11*x^2+f(x)-x) ogf] A172075 18.2489 [-(29+118*x+33*x^2)/(x-1)/(11*x^2+24*x+1) lgdogf] A172075 3.61237 [{(-3-n)*a(n+4)+(-17-23*n)*a(n+3)+(131+13*n)*a(n+2)+(33+11*n)*a(n+1),a(0)=0,a(1)=1,a(2)=29,a(3)=146} ogf] A172075 8.71219 [-x*(11*x^2+24*x+1)/(x-1)^5 ogf] A172076 11.6013 [x*(13*x+1)/(x-1)^4 ogf] A172076 30.1877 [-(17+39*x)/(13*x+1)/(x-1) lgdogf] A172076 5.00447 [{(-2-n)*a(n+3)+(5-12*n)*a(n+2)+(39+13*n)*a(n+1),a(0)=0,a(1)=1,a(2)=17} ogf] A172076 5.24441 [-(161819168*f(x)+899445401)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-13*x^2+f(x)-x) ogf] A172077 17.8898 [-3*(11+46*x+13*x^2)/(x-1)/(13*x^2+28*x+1) lgdogf] A172077 3.62957 [{(n+3)*a(n+4)+(21+27*n)*a(n+3)+(-153-15*n)*a(n+2)+(-39-13*n)*a(n+1),a(0)=0,a(1)=1,a(2)=33,a(3)=168} ogf] A172077 8.75367 [-x*(13*x^2+28*x+1)/(x-1)^5 ogf] A172078 11.2435 [x*(15*x+1)/(x-1)^4 ogf] A172078 29.2462 [-(19+45*x)/(15*x+1)/(x-1) lgdogf] A172078 4.85012 [{(-2-n)*a(n+3)+(5-14*n)*a(n+2)+(45+15*n)*a(n+1),a(0)=0,a(1)=1,a(2)=19} ogf] A172078 5.04808 [-(357318656*f(x)+2271560481)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-15*x^2+f(x)-x) ogf] A172080 17.6574 [-(37+158*x+45*x^2)/(x-1)/(15*x^2+32*x+1) lgdogf] A172080 8.43276 [-x*(15*x^2+32*x+1)/(x-1)^5 ogf] A172082 10.9422 [x*(17*x+1)/(x-1)^4 ogf] A172082 27.3597 [-3*(7+17*x)/(17*x+1)/(x-1) lgdogf] A172082 4.72016 [{(-2-n)*a(n+3)+(5-16*n)*a(n+2)+(51+17*n)*a(n+1),a(0)=0,a(1)=1,a(2)=21} ogf] A172082 4.91281 [-(719318880*f(x)+5147732449)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-17*x^2+f(x)-x) ogf] A172085 17.8322 [-(41+178*x+51*x^2)/(x-1)/(17*x^2+36*x+1) lgdogf] A172085 3.53062 [{(n+3)*a(n+4)+(29+35*n)*a(n+3)+(-197-19*n)*a(n+2)+(-51-17*n)*a(n+1),a(0)=0,a(1)=1,a(2)=41,a(3)=212} ogf] A172085 8.51504 [-x*(17*x^2+36*x+1)/(x-1)^5 ogf] A172117 10.9969 [x*(19*x+1)/(x-1)^4 ogf] A172117 28.5985 [-(23+57*x)/(19*x+1)/(x-1) lgdogf] A172117 4.74376 [{(-2-n)*a(n+3)+(5-18*n)*a(n+2)+(57+19*n)*a(n+1),a(0)=0,a(1)=1,a(2)=23} ogf] A172117 4.8711 [-(1345952000*f(x)+10708033241)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-19*x^2+f(x)-x) ogf] A172118 17.5678 [-3*(15+66*x+19*x^2)/(x-1)/(19*x^2+40*x+1) lgdogf] A172118 3.56474 [{(-3-n)*a(n+4)+(-33-39*n)*a(n+3)+(219+21*n)*a(n+2)+(57+19*n)*a(n+1),a(0)=0,a(1)=1,a(2)=45,a(3)=234} ogf] A172118 8.59731 [-x*(19*x^2+40*x+1)/(x-1)^5 ogf] A172123 19.8098 [-(13+14*x+3*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A172123 8.24234 [-2*x*(x+2)*(x+1)/(x-1)^5 ogf] A172124 5.19823 [-2*x^2*(3*x^4+18*x^3+48*x^2+38*x+13)/(x+1)/(x-1)^7 ogf] A172124 7.65613 [-4*(29+107*x+152*x^2+102*x^3+27*x^4+3*x^5)/(x-1)/(x+1)/(3*x^4+18*x^3+48*x^2+38*x+13) lgdogf] A172131 19.4647 [x^8-2*x^5+2*x^2+x+2 ogf_with_Euler_transform] A172131 6.26635 [x^3*(x+1)*(x^2-x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A172131 6.94053 [-(2+4*x+2*x^10+7*x^11+6*x^5+6*x^4+6*x^3+6*x^6+6*x^7+15*x^8+8*x^2+4*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1) lgdogf] A172132 14.4056 [-2*(-7-6*x-6*x^2+4*x^3)/(x-1)/(4*x^3-8*x^2+x-3) lgdogf] A172132 3.73717 [{(14*n^2+96*n+136)*a(n+1)+(-27*n^2-119*n-36)*a(n+2)+(13*n^2+27*n+2)*a(n+3),a(0)=0,a(1)=6,a(2)=28} ogf] A172132 7.47435 [2*x*(4*x^3-8*x^2+x-3)/(x-1)^5 ogf] A172134 4.14953 [4*x*(3*x^8-20*x^7+43*x^6-38*x^5+23*x^4-11*x^3-27*x^2-2*x-1)/(x-1)^7 ogf] A172137 12.3743 [-2*(-9-2*x-6*x^2+2*x^4)/(x-1)/(4*x^4-8*x^3+4*x^2-3*x-3) lgdogf] A172137 6.91167 [2*x*(4*x^4-8*x^3+4*x^2-3*x-3)/(x-1)^5 ogf] A172138 3.66542 [4*x*(4*x^10-23*x^9+45*x^8-33*x^7-x^6+9*x^5+29*x^4-58*x^3+13*x^2-14*x-1)/(x-1)^7 ogf] A172141 5.89753 [-2*x*(x^2+2*x+3)*(2*x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A172141 9.10182 [-2*(7+27*x+36*x^2+34*x^3+13*x^4+3*x^5)/(x-1)/(x+1)/(x^2+2*x+3)/(2*x^2+x+1) lgdogf] A172160 12.6993 [-(x^2+2*x-1)/(2*x-1)^2 ogf] A172160 24.9537 [-2*(3*x-1)/(2*x-1)/(x^2+2*x-1) lgdogf] A172160 6.59865 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=3} ogf] A172160 6.7986 [-(25*f(x)-57)*(4*f(x)*x^2-4*f(x)*x+x^2+f(x)+2*x-1) ogf] A172162 10.5705 [-x*(x-1)/(100*x-1)/(11*x-1)/(9*x+1) ogf] A172162 5.63760 [{a(n+3)-102*a(n+2)+101*a(n+1)+9900*a(n),a(0)=0,a(1)=1,a(2)=101} ogf] A172162 6.15011 [-f(x)*(9900*f(x)*x^3+101*f(x)*x^2-102*f(x)*x+x^2+f(x)-x) ogf] A172163 11.9797 [10*x^2/(100*x-1)/(11*x-1)/(9*x+1) ogf] A172163 5.38070 [{-a(n+3)+102*a(n+2)-101*a(n+1)-9900*a(n),a(0)=0,a(1)=0,a(2)=10} ogf] A172163 7.13396 [9900*f(x)*x^3+101*f(x)*x^2-102*f(x)*x-10*x^2+f(x) ogf] A172172 16.7281 [x*(8*x+1)/(x-1)/(x^2+x-1) ogf] A172172 18.3829 [-(-10+16*x^3+3*x^2)/(-1+x)/(8*x+1)/(x^2+x-1) lgdogf] A172172 8.19678 [-(1601*f(x)-51040)*(f(x)*x^3-2*f(x)*x-8*x^2+f(x)-x) ogf] A172172 8.71999 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A172173 11.5981 [-(-1-20*x+16*x^5+8*x^4+4*x^3+11*x^2)/(-1+x)/(x+1)/(8*x^2+1)/(x^2+x-1) lgdogf] A172173 12.4797 [x*(8*x^2+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A172173 5.96457 [-(9980*f(x)-80191)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-8*x^3-f(x)*x+f(x)-x) ogf] A172174 14.1700 [-1/180*(-1-91*x+(1+182*x+7921*x^2)^(1/2))/x revogf] A172174 17.7184 [1/(90*x-1)/(x-1) ogf] A172174 22.5671 [-(-91+180*x)/(90*x-1)/(x-1) lgdogf] A172174 7.04709 [(8101*f(x)+180)*(90*f(x)*x^2-91*f(x)*x+f(x)-1) ogf] A172174 7.29580 [{-a(n+2)+91*a(n+1)-90*a(n),a(0)=1,a(1)=91} ogf] A172175 12.8387 [-(-111+220*x)/(110*x-1)/(-1+x) lgdogf] A172175 17.7853 [1/(110*x-1)/(x-1) ogf] A172175 7.23139 [(12101*f(x)+220)*(110*f(x)*x^2-111*f(x)*x+f(x)-1) ogf] A172175 7.47791 [{-a(n+2)+111*a(n+1)-110*a(n),a(0)=1,a(1)=111} ogf] A172175 8.55913 [-1/220*(-111*x-1+(11881*x^2+222*x+1)^(1/2))/x revogf] A172178 17.2757 [(98*x+1)/(x-1)^2 ogf] A172178 21.0687 [-1/2*(-1-2*x+(1+396*x)^(1/2))/(-98+x) revogf] A172178 28.8720 [-2*(50+49*x)/(98*x+1)/(x-1) lgdogf] A172178 8.82978 [(99*f(x)+4901)*(f(x)*x^2-2*f(x)*x+f(x)-98*x-1) ogf] A172178 9.46048 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=100} ogf] A172193 12.5539 [(25*x^2-34*x-1)/(x-1)^3 ogf] A172193 19.3940 [-(-37-18*x+25*x^2)/(x-1)/(25*x^2-34*x-1) lgdogf] A172193 6.37819 [(70100*f(x)-10169837)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-25*x^2-f(x)+34*x+1) ogf] A172193 6.93768 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=37,a(2)=83} ogf] A172200 31.4451 [-(-23+8*x)/(x-1)/(2*x-5) lgdogf] A172200 4.95616 [{-5*n*a(n+3)+(16+7*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=20} ogf] A172200 9.47866 [4*x^3*(2*x-5)/(x-1)^5 ogf] A172201 4.36670 [4*x^4*(x^7-7*x^6+13*x^5+23*x^4-32*x^3-60*x^2-46*x-12)/(x+1)^2/(x-1)^7 ogf] A172201 5.64032 [-2*(-53-229*x+12*x^6+69*x^5+x^8-8*x^7-6*x^4-382*x^2-244*x^3)/(x-1)/(x+1)/(x^7-7*x^6+13*x^5+23*x^4-32*x^3-60*x^2-46*x-12) lgdogf] A172202 17.4381 [-2*(17+20*x+17*x^2)/(-1+x)/(17*x^2+2*x+8) lgdogf] A172202 3.84140 [{(-130356*n^2+152048*n)*a(n)+(47223*n^2-823126*n+292491)*a(n+1)+(83133*n^2+30611*n)*a(n+2),a(0)=0,a(1)=0,a(2)=8} ogf] A172202 5.01516 [(3321*f(x)-2320)*(f(x)*x^4-4*f(x)*x^3-17*x^4+6*f(x)*x^2-2*x^3-4*f(x)*x-8*x^2+f(x)) ogf] A172202 9.25877 [x^2*(17*x^2+2*x+8)/(x-1)^4 ogf] A172203 4.48236 [-x^2*(68*x^4-4*x^3+149*x^2+34*x+9)/(x-1)^5 ogf] A172203 6.66444 [-(79+434*x+68*x^4+264*x^3+435*x^2)/(-1+x)/(68*x^4-4*x^3+149*x^2+34*x+9) lgdogf] A172204 4.00672 [x^2*(259*x^6-204*x^5+1294*x^4+622*x^3+1035*x^2+104*x+15)/(x-1)^6 ogf] A172205 3.76139 [-2*x^2*(475*x^8-1015*x^7+4398*x^6+194*x^5+10875*x^4+5233*x^3+3012*x^2+148*x+8)/(x-1)^7 ogf] A172206 3.42096 [x^2*(3387*x^10-13990*x^9+57102*x^8-55038*x^7+217860*x^6+137902*x^5+324486*x^4+120530*x^3+30546*x^2+734*x+24)/(x-1)^8 ogf] A172207 6.89119 [(2*x^6+14*x^3+8*x^2+2*x+1)/(x-1)^4 ogf] A172207 8.38810 [2*(-3-11*x+2*x^6-6*x^5-7*x^3-29*x^2)/(x-1)/(2*x^6+14*x^3+8*x^2+2*x+1) lgdogf] A172208 4.07661 [-(2*x^12-2*x^11+4*x^10-24*x^9+50*x^8-10*x^7+41*x^6-23*x^5+152*x^4+35*x^3+26*x^2+4*x+1)/(x-1)^5 ogf] A172212 7.36344 [(6*x^6-8*x^5+2*x^4+24*x^3-6*x^2+8*x+1)/(x-1)^4 ogf] A172212 8.27672 [4*(-3-3*x+3*x^6-11*x^5+10*x^4-8*x^3-15*x^2)/(-1+x)/(6*x^6-8*x^5+2*x^4+24*x^3-6*x^2+8*x+1) lgdogf] A172213 3.48345 [-(16*x^9-20*x^8-40*x^7+172*x^6-81*x^5+41*x^4+142*x^3+14*x^2+11*x+1)/(x-1)^5 ogf] A172218 5.45591 [(2*x^10-4*x^9+6*x^8-4*x^7-6*x^6+24*x^5-18*x^4+24*x^3-6*x^2+8*x+1)/(x-1)^4 ogf] A172221 6.04164 [(2*x^8-4*x^7+2*x^6-8*x^5+28*x^4-20*x^3+10*x^2+16*x+1)/(x-1)^4 ogf] A172221 6.12568 [4*(-5-17*x+2*x^8+8*x^6-5*x^5-7*x^7+10*x^4-23*x^3+10*x^2)/(-1+x)/(2*x^8-4*x^7+2*x^6-8*x^5+28*x^4-20*x^3+10*x^2+16*x+1) lgdogf] A172225 18.0653 [-6*(-2-4*x+x^2)/(-1+x)/(2*x^2-7*x-1) lgdogf] A172225 7.86714 [2*x*(2*x^2-7*x-1)/(x-1)^5 ogf] A172226 4.62401 [2*x^2*(x^5-9*x^4+22*x^3-2*x^2-61*x-11)/(x-1)^7 ogf] A172226 7.75983 [-2*(-69-185*x+x^5-11*x^4+26*x^3+28*x^2)/(-1+x)/(x^5-9*x^4+22*x^3-2*x^2-61*x-11) lgdogf] A172227 3.96918 [-x^2*(4*x^8-26*x^7+3*x^6+303*x^5-736*x^4+180*x^3+1595*x^2+351*x+6)/(x-1)^9 ogf] A172229 15.5163 [-(22+58*x+3*x^3+25*x^2)/(-1+x)/(3*x^3+8*x^2+14*x+2) lgdogf] A172229 4.74746 [{(-729*n^2-543*n)*a(n)+(-420*n^2-6698*n-5038)*a(n+1)+(1149*n^2+1607*n+458)*a(n+2),a(0)=0,a(1)=2} ogf] A172229 5.14308 [-(367173*f(x)+485594)*(f(x)*x^4-4*f(x)*x^3-3*x^4+6*f(x)*x^2-8*x^3-4*f(x)*x-14*x^2+f(x)-2*x) ogf] A172229 9.78439 [x*(3*x^3+8*x^2+14*x+2)/(x-1)^4 ogf] A172230 6.25477 [-x*(4*x^5+12*x^4+67*x^3+120*x^2+51*x+2)/(x-1)^5 ogf] A172230 8.84913 [-(61+444*x+32*x^4+182*x^3+561*x^2)/(-1+x)/(4*x^5+12*x^4+67*x^3+120*x^2+51*x+2) lgdogf] A172232 4.18639 [-2*x*(3*x^9-5*x^8+100*x^7+354*x^6+2548*x^5+7572*x^4+9248*x^3+3262*x^2+245*x+1)/(x-1)^7 ogf] A172241 10.4062 [x*(4*x+3)/(x-1)/(8*x-1)/(x+1) ogf] A172241 10.8179 [-2*(-14-3*x+32*x^3+34*x^2)/(x-1)/(8*x-1)/(4*x+3)/(x+1) lgdogf] A172241 5.29603 [{-a(n+3)+8*a(n+2)+a(n+1)-8*a(n),a(0)=0,a(1)=3,a(2)=28} ogf] A172241 5.49218 [(28*f(x)+9)*(8*f(x)*x^3-f(x)*x^2-8*f(x)*x-4*x^2+f(x)-3*x) ogf] A172242 5.74438 [{(-n-2)*a(n+2)+(24+2*n)*a(n+1),a(0)=1,a(1)=22} ogf] A172242 54.2478 [-22/(2*x-1) lgdogf] A172244 10.7865 [-(x-1)*(x^2+600*x+1)/(x^4-15550*x^2+1) ogf] A172244 5.87623 [(94152089850624*f(x)-3629733293461)*(f(x)*x^4-15550*f(x)*x^2+x^3+599*x^2+f(x)-599*x-1) ogf] A172252 14.2744 [(10*x-1)/(2*x-1)/(x-1) ogf] A172252 15.7688 [-(2*x+1)*(10*x-7)/(x-1)/(-1+2*x)/(10*x-1) lgdogf] A172252 17.0137 [1/4*(-1+3*x+(1+34*x+x^2)^(1/2))/(-5+x) revogf] A172252 7.46162 [(25*f(x)+74)*(2*f(x)*x^2-3*f(x)*x+f(x)-10*x+1) ogf] A172252 8.00761 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-1,a(1)=7} ogf] A172254 10.4920 [(2*x^4+2*x^3-3*x^2+x-1)/(x-1)/(x+1)/(x^2+1) ogf] A172254 11.1244 [-(1-6*x+2*x^6-6*x^5+3*x^4+6*x^2+4*x^3)/(x-1)/(x+1)/(x^2+1)/(2*x^4+2*x^3-3*x^2+x-1) lgdogf] A172254 7.25508 [(262*f(x)-15)*(f(x)*x^4-2*x^4-2*x^3+3*x^2-f(x)-x+1) ogf] A172264 8.39889 [x^4*(x^19+x^15+x^12+x^9+x^6+x^3+1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A172269 5.91936 [x*(2*x^12+x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+2*x^4+x^3+x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A172272 6.17226 [x*(2*x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A172274 8.72192 [-(x^37+x^35+x^9-x^8+x^6+x^3+x^2+1)/(-x^35-x^3-1) ogf_with_Euler_transform] A172277 7.81403 [x*(x^2+x+1)*(x^6+x^4+x^3+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A172285 14.2385 [-x*(x+2)/(2*x-1)/(x+1)^2 ogf] A172285 21.2589 [-(1+11*x+4*x^2)/(2*x-1)/(x+2)/(x+1) lgdogf] A172285 8.11442 [{-a(n+3)+3*a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=1} ogf] A172285 8.47911 [(f(x)+4)*(2*f(x)*x^3+3*f(x)*x^2+x^2-f(x)+2*x) ogf] A172316 19.5633 [1/(x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A172317 12.9651 [-2*(-1+4*x^7)/(x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A172317 19.6674 [1/(x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A172318 12.5913 [-(-2+9*x^8)/(x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A172318 19.8755 [1/(x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A172319 11.2659 [-2*(-1+5*x^9)/(x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A172319 19.2909 [1/(x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A172320 10.3574 [-(-2+11*x^10)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) lgdogf] A172320 19.2909 [1/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A172331 10.1258 [x*(7*x^3+6*x^2+6*x+6)/(x+1)/(x^2+1)/(x-1)^2 ogf] A172331 8.55751 [-(12+24*x+14*x^6+25*x^5+39*x^2+49*x^3+37*x^4)/(x-1)/(x+1)/(x^2+1)/(7*x^3+6*x^2+6*x+6) lgdogf] A172334 11.1906 [x*(6*x^2+5*x+5)/(x^2+x+1)/(x-1)^2 ogf] A172334 11.7310 [-(10+22*x+21*x^3+12*x^4+31*x^2)/(x-1)/(x^2+x+1)/(6*x^2+5*x+5) lgdogf] A172334 4.25374 [{(16*n+47)*a(n+1)+16*a(n+2)+16*a(n+3)+(-16*n-31)*a(n+4),a(0)=0,a(1)=5,a(2)=10,a(3)=16} ogf] A172334 6.01147 [(416*f(x)+18631)*(f(x)*x^4-f(x)*x^3-6*x^3-f(x)*x-5*x^2+f(x)-5*x) ogf] A172336 5.36713 [-5*x*(x^48+2*x^47+75*x^4+50*x^3+30*x^2+15*x+5)/(3*x^48-2*x^47-75*x^6+100*x^5-5*x^4-5*x^3-5*x^2-5*x-5) ogf] A172336 6.12951 [2*(-377500*x-1275251*x^3-125000-760050*x^2+625000*x^47+625000*x^48)/(-382550*x^2-125000-252500*x+1275251*x^4+625000*x^47-515201*x^3) lgdogf] A172362 5.49999 [{(-n-2)*a(n+2)+(36+3*n)*a(n+1),a(0)=1,a(1)=33} ogf] A172362 51.9292 [-33/(3*x-1) lgdogf] A172392 10.6366 [hypergeom([1/2,3/2],[3],16*x) ogf] A172392 4.32380 [{(-16*n^2-64*n-60)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=4} ogf] A172397 16.0862 [1/(x^8+x^3-x^2-x+1) ogf] A172397 20.0429 [-(-1-2*x+8*x^7+3*x^2)/(-x^2+1-x+x^8+x^3) lgdogf] A172399 17.3083 [1/(x^8+x^3-2*x^2-2*x+1) ogf] A172399 17.3925 [-(-2-4*x+8*x^7+3*x^2)/(-2*x^2+1-2*x+x^8+x^3) lgdogf] A172416 4.65496 [(89*f(x)+33)*(2*f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x+x^2+f(x)-1) ogf] A172416 8.60849 [-(x^3+x^2-1)/(2*x-1)/(x-1)/(x+1)^2 ogf] A172416 9.60444 [-(1+3*x+2*x^5+2*x^3+2*x^4-8*x^2)/(x-1)/(2*x-1)/(x+1)/(x^3+x^2-1) lgdogf] A172430 9.70757 [-(5*x^9+8*x^8+9*x^7+4*x^6+3*x^5+7*x^3+6*x^2+x+2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A172432 2.1534 [-(f(x)*x^2-2*f(x)*x+f(x)-x)^2 ogf] A172432 4.29176 [2*exp(1/2*x^9) ogf_with_Euler_transform] A172445 6.16008 [(688*x^15-22*x^14+41*x^11-41*x^10+38*x^6+2*x^5-2*x^4+4*x^3-x^2+2*x+1)/(x-1)^2 ogf] A172447 12.8188 [-(2*x^2-2*x+1)/(4*x-1)/(x-1)^2 ogf] A172447 15.3782 [-2*(2*x-1)*(2*x^2-x+2)/(x-1)/(4*x-1)/(2*x^2-2*x+1) lgdogf] A172447 6.85915 [(889*f(x)-34)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A172447 6.91986 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A172448 9.06954 [(-2-10*x+1197*x^5-1423*x^4-1125*x^3-57*x^2)/(x-1)/(399*x^5+286*x^4+19*x^3+5*x^2+1) lgdogf] A172448 9.72253 [(399*x^5+286*x^4+19*x^3+5*x^2+1)/(x-1)^2 ogf] A172467 26.2167 [9*x^8/(x+1)/(1-x+x^2)/(1-x^3+x^6) lgdogf] A172474 8.79403 [x^3*(x^2+1)*(x^12+x^7-x^5+x^4+x^3-x^2+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A172475 5.68418 [x^2*(x^14+x^12+x^11+x^10+x^9+x^8+x^7+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A172481 15.1735 [-(x^2+x-1)/(x+1)/(2*x-1)^2 ogf] A172481 17.9593 [-(2*x+1)*(x^2+2*x-2)/(2*x-1)/(x+1)/(x^2+x-1) lgdogf] A172481 8.55528 [(8*f(x)+31)*(4*f(x)*x^3-3*f(x)*x+x^2+f(x)+x-1) ogf] A172481 8.55529 [{a(n+3)-3*a(n+2)+4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A172482 11.7327 [(x+3)*(x+1)/(x-1)^4 ogf] A172482 24.8345 [-2*(8+7*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A172482 3.98797 [{(3*n+12)*a(n+4)+(-13+n)*a(n+3)+(-20-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=3,a(1)=16,a(2)=47,a(3)=104} ogf] A172482 5.82416 [(134656*f(x)+583081)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-4*x-3) ogf] A172485 10.9481 [(2*x^2+2*x+1)/(6*x^3+6*x^2+3*x+1) ogf] A172485 5.96279 [{-a(n+3)-3*a(n+2)-6*a(n+1)-6*a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A172485 7.50374 [-6*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+2*x^2-f(x)+2*x+1 ogf] A172492 4.90467 [{(-n^3-7*n^2-16*n-12)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A172501 5.50384 [-1/(6*x-1)^9 ogf] A172501 6.74999 [{(-n-2)*a(n+2)+(60+6*n)*a(n+1),a(0)=1,a(1)=54} ogf] A172510 10.4154 [-1/(8*x-1)^5 ogf] A172510 39.2784 [-40/(-1+8*x) lgdogf] A172510 6.58332 [{(-n-2)*a(n+2)+(48+8*n)*a(n+1),a(0)=1,a(1)=40} ogf] A172511 5.90389 [-(2*x^4-15*x^3+24*x^2-10*x+1)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A172517 12.6382 [-(25+94*x+5*x^4+78*x^2+38*x^3)/(x-1)/(x+1)/(x^3+6*x^2+9*x+8) lgdogf] A172517 6.80271 [-4*x^3*(x^3+6*x^2+9*x+8)/(x+1)^3/(x-1)^5 ogf] A172518 3.43933 [-4*x^4*(9*x^6+94*x^5+199*x^4+388*x^3+151*x^2+94*x+25)/(x+1)^5/(x-1)^7 ogf] A172518 5.27176 [-2*(72+395*x+27*x^7+1250*x^2+1541*x^3+2180*x^4+917*x^5+338*x^6)/(x-1)/(x+1)/(9*x^6+94*x^5+199*x^4+388*x^3+151*x^2+94*x+25) lgdogf] A172525 14.5786 [111111111/(x-1)^2 ogf] A172525 45.1342 [[2] ogf_with_Euler_transform] A172525 6.09919 [{-a(n+2)+2*a(n+1)-a(n),a(0)=111111111,a(1)=222222222} ogf] A172525 73.2429 [-2/(x-1) lgdogf] A172525 8.92121 [-f(x)*x^2+2*f(x)*x-f(x)+111111111 ogf] A172525 9.93125 [49382716*x/(37037037+(1371742109739369+49382716*x)^(1/2))^2 revogf] A172529 6.14533 [2*x*(16*x^7-71*x^6+121*x^5-98*x^4+40*x^3-9*x^2-4*x-1)/(x-1)^5 ogf] A172542 20.4096 [(f(x)-1)^2 ogf] A172964 6.48814 [2*x*(6*x^7-30*x^6+61*x^5-66*x^4+45*x^3-21*x^2+x-2)/(x-1)^5 ogf] A172965 4.17648 [-2*x^2*(15*x^9-141*x^8+564*x^7-1276*x^6+1812*x^5-1652*x^4+908*x^3-272*x^2+99*x+3)/(x-1)^7 ogf] A172968 13.4635 [-(5*x-1)/(x^2-7*x+1) ogf] A172968 14.8420 [-1/2*(-1-7*x+(1-6*x+45*x^2)^(1/2))/(5+x) revogf] A172968 17.4612 [-(2-2*x+5*x^2)/(5*x-1)/(x^2-7*x+1) lgdogf] A172968 6.80742 [-(3*f(x)-2)*(f(x)*x^2-7*f(x)*x+f(x)+5*x-1) ogf] A172968 7.38852 [{a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A172978 5.53533 [{(-n-2)*a(n+2)+(48+4*n)*a(n+1),a(0)=1,a(1)=44} ogf] A172978 52.2894 [-44/(4*x-1) lgdogf] A173000 4.68202 [{(-n-2)*a(n+2)+(54+9*n)*a(n+1),a(0)=1,a(1)=45} ogf] A173000 44.1094 [-45/(9*x-1) lgdogf] A173000 7.40737 [-1/(9*x-1)^5 ogf] A173009 4.57755 [(7*f(x)-1)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)+x) ogf] A173009 8.33993 [-x*(x^2-x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A173010 4.29972 [-x^2*(x^4-x^3+1)/(x+1)/(2*x-1)/(x^2+1)/(x-1)^2 ogf] A173012 25.2206 [2*(1+3*x)/(3*x^2+1+2*x) lgdogf] A173012 4.81148 [{-a(n+3),a(0)=1,a(1)=2,a(2)=3} ogf] A173012 9.07309 [3*x^2+2*x+1-f(x) ogf] A173013 4.49251 [(5*x^5+5*x^4-4*x^3-4*x^2-3*x-1)/(x-1)/(x+1) ogf] A173014 5.91632 [-(562*f(x)-861)*(f(x)*x^4+6*x^4+4*x^3+3*x^2-f(x)+1) ogf] A173014 8.40698 [-2*x*(3+2*x^5+3*x^4+14*x^2+6*x)/(-1+x)/(x+1)/(1+x^2)/(6*x^4+4*x^3+3*x^2+1) lgdogf] A173014 9.21393 [-(6*x^4+4*x^3+3*x^2+1)/(x-1)/(x+1)/(x^2+1) ogf] A173031 11.8925 [1/(x-1)/(x^2+x-1)/(2*x-1)^2 ogf] A173031 14.7051 [-(6-12*x+10*x^3-3*x^2)/(x-1)/(2*x-1)/(x^2+x-1) lgdogf] A173033 12.7064 [(2*x^2+x+1)/(2*x-1)/(x-1) ogf] A173033 16.4958 [-4*(-1+2*x^2)/(x-1)/(-1+2*x)/(1+x+2*x^2) lgdogf] A173033 6.53823 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=4,a(2)=12} ogf] A173033 9.48503 [-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+x+1 ogf] A173034 10.3735 [(5+10*x-19*x^2-12*x^3+4*x^4)/(x-1)/(2*x-1)/(2*x^3+7*x^2+2*x+1) lgdogf] A173034 10.7643 [(2*x^3+7*x^2+2*x+1)/(2*x-1)/(x-1) ogf] A173034 5.66055 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=1,a(1)=5,a(2)=20,a(3)=52} ogf] A173034 5.9693 [-(874*f(x)-1399)*(2*f(x)*x^2-2*x^3-3*f(x)*x-7*x^2+f(x)-2*x-1) ogf] A173035 14.4992 [-x*(5*x^2+6*x-15)/(x-1)^2 ogf] A173035 25.9008 [-8*(-3+2*x)/(x-1)/(5*x^2+6*x-15) lgdogf] A173035 7.24960 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=15,a(2)=24,a(3)=28} ogf] A173035 7.78662 [-(544*f(x)+53577)*(f(x)*x^2+5*x^3-2*f(x)*x+6*x^2+f(x)-15*x) ogf] A173036 13.0895 [-(13*x^2-25*x+13)/(x-1)^3 ogf] A173036 20.5463 [-(14-24*x+13*x^2)/(x-1)/(13*x^2-25*x+13) lgdogf] A173036 7.03976 [-(2*f(x)+69)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)-25*x+13) ogf] A173036 7.28462 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=14,a(2)=16} ogf] A173039 5.12216 [-(5*x^8+3*x^7+21*x^6+30*x^5+6*x^4+14*x^3-3*x^2-x-3)/(x-1)^3/(x^2+x+1)^3 ogf] A173041 11.5615 [-(32*x-5)/(10*x-1)/(x-1) ogf] A173041 11.8128 [-1/4*(-5-11*x+(25-18*x+81*x^2)^(1/2))/(16+5*x) revogf] A173041 12.3498 [-(23-100*x+320*x^2)/(-1+x)/(32*x-5)/(10*x-1) lgdogf] A173041 5.78074 [-(153*f(x)-236)*(10*f(x)*x^2-11*f(x)*x+f(x)+32*x-5) ogf] A173041 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=5,a(1)=23} ogf] A173044 10.6745 [-(-27-107*x+x^5-7*x^4-22*x^2+18*x^3)/(x-1)/(x^5-6*x^4+14*x^3-16*x^2-15*x-2) lgdogf] A173044 6.96110 [-5*(x^5-6*x^4+14*x^3-16*x^2-15*x-2)/(x-1)^6 ogf] A173078 11.1882 [-(-3-10*x+8*x^4+4*x^3+13*x^2)/(-1+x)/(2*x-1)/(x+1)/(1+x+4*x^2) lgdogf] A173078 11.5968 [(4*x^2+x+1)/(x-1)/(2*x-1)/(x+1) ogf] A173078 5.99493 [-(38*f(x)+885)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-4*x^2+f(x)-x-1) ogf] A173078 6.26019 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A173089 18.6522 [-2*(12*x+13)/(x-1)^3 ogf] A173089 37.4216 [-3*(17+8*x)/(12*x+13)/(x-1) lgdogf] A173089 8.6938 [(1949375*f(x)-66977062)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+24*x+26) ogf] A173089 8.76812 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=26,a(1)=102,a(2)=228} ogf] A173102 13.1915 [-(x+2)*(2*x+1)/(x+1)/(x-1)^3 ogf] A173102 16.4433 [-(9+22*x+4*x^3+19*x^2)/(x-1)/(2*x+1)/(x+2)/(x+1) lgdogf] A173102 6.87761 [-(2*f(x)-111)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+5*x+2) ogf] A173113 4.65586 [{(-n-2)*a(n+2)+(60+5*n)*a(n+1),a(0)=1,a(1)=55} ogf] A173113 40.2026 [-55/(-1+5*x) lgdogf] A173114 11.5525 [-(1-2*x+8*x^4+20*x^3-15*x^2)/(x-1)/(2*x-1)/(x+1)/(4*x^3+2*x^2+x-1) lgdogf] A173114 5.11984 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=-3} ogf] A173114 5.58528 [(10*f(x)-11)*(2*f(x)*x^3-f(x)*x^2+4*x^3-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A173114 9.79448 [-(4*x^3+2*x^2+x-1)/(x-1)/(2*x-1)/(x+1) ogf] A173115 3.77069 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=2400} ogf] A173115 3.93903 [(25*f(x)+6)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+24*x^2-f(x)+24*x) ogf] A173115 7.23231 [-24*x*(x+1)/(x-1)/(x^2-98*x+1) ogf] A173115 9.03076 [-2*(50-99*x+x^3-48*x^2)/(x-1)/(x+1)/(x^2-98*x+1) lgdogf] A173116 14.8043 [-2*(5+15*x+9*x^2+x^3)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A173116 3.95612 [{(n^2+2*n)*a(n+1)+(-2*n^2-8*n-36)*a(n+2)+(n^2+6*n+8)*a(n+3),a(0)=0,a(1)=8,a(2)=80} ogf] A173116 7.27415 [-8*x*(x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A173121 31.6643 [-2*(3+2*x)/(x-1)/(x+1) lgdogf] A173121 33.1952 [[6-x] ogf_with_Euler_transform] A173121 5.28981 [{(n+1)*a(n+3)-6*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=48} ogf] A173121 8.68574 [-48*x^2*(x+1)/(x-1)^5 ogf] A173123 4.70817 [{(-n-2)*a(n+2)+(66+6*n)*a(n+1),a(0)=1,a(1)=60} ogf] A173124 4.89126 [{(-n-2)*a(n+2)+(72+6*n)*a(n+1),a(0)=1,a(1)=66} ogf] A173124 46.1258 [-66/(6*x-1) lgdogf] A173125 7.81436 [-(1-14*x^6-8*x^5+2*x^8+8*x^7+19*x^4-9*x^2+4*x^3)/(x-1)/(2*x-1)/(x^2+x-1)/(x^2-x-1)/(x^3+3*x^2-1) lgdogf] A173125 8.21935 [-(x-1)*(x^3+3*x^2-1)/(2*x-1)/(x^2+x-1)/(x^2-x-1) ogf] A173126 12.9739 [-x^4/(2*x-1)/(x^2+x-1)/(x^2-x-1) ogf] A173126 13.2056 [-2*(1+3*x+5*x^4-2*x^3-9*x^2)/(2*x-1)/(x^2+x-1)/(x^2-x-1) lgdogf] A173126 6.32062 [2*f(x)*x^5-f(x)*x^4-6*f(x)*x^3+x^4+3*f(x)*x^2+2*f(x)*x-f(x) ogf] A173127 11.6102 [3*(39*x-1)/(x^2-38*x+1) ogf] A173127 11.6803 [1/2/(-117+x)*(-3+38*x+(9+240*x+1440*x^2)^(1/2)) revogf] A173127 14.4467 [-(-1-2*x+39*x^2)/(39*x-1)/(x^2-38*x+1) lgdogf] A173127 5.92862 [(1520*f(x)+4557)*(f(x)*x^2-38*f(x)*x+f(x)-117*x+3) ogf] A173127 6.71435 [{-a(n+2)+38*a(n+1)-a(n),a(0)=-3,a(1)=3} ogf] A173141 18.7607 [-2*(24*x+25)/(x-1)^3 ogf] A173141 36.3014 [-3*(33+16*x)/(24*x+25)/(x-1) lgdogf] A173141 8.67092 [(9519965*f(x)-637815082)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+48*x+50) ogf] A173141 8.81915 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=50,a(1)=198,a(2)=444} ogf] A173151 6.48549 [-(x^5-x^4+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A173151 7.57241 [-(1+3*x+2*x^8+2*x^6-2*x^5-2*x^7+4*x^4+3*x^3+x^2)/(-1+x)/(x+1)/(1+x^2)/(x^5-x^4+1) lgdogf] A173154 10.9997 [(x^4-x^3+x+1)/(x+1)/(x-1)^4 ogf] A173154 18.3865 [-(4+8*x+x^2+x^3+x^4+x^5)/(x-1)/(x+1)/(x^4-x^3+x+1) lgdogf] A173155 4.68202 [{(-n-2)*a(n+2)+(56+8*n)*a(n+1),a(0)=1,a(1)=48} ogf] A173155 40.4336 [-48/(-1+8*x) lgdogf] A173155 5.77086 [1/(8*x-1)^6 ogf] A173173 10.1978 [-x*(x^3+x^2-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A173173 10.5820 [-(1+4*x^6+2*x^5+2*x^7-5*x^4-2*x^3+x^2)/(-1+x)/(x^2+x+1)/(x^2+x-1)/(x^3+x^2-1) lgdogf] A173173 5.00621 [(f(x)^2+f(x)+1)*(f(x)*x^5+f(x)*x^4-f(x)*x^3+x^4-f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A173184 3.87864 [{(n+3)*a(n+1)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A173187 3.68968 [-(f(x)+1)*(6561*f(x)*x^4-2916*f(x)*x^3+486*f(x)*x^2-36*f(x)*x+f(x)-1) ogf] A173187 39.0473 [-36/(-1+9*x) lgdogf] A173187 4.52508 [{(-n-2)*a(n+2)+(45+9*n)*a(n+1),a(0)=1,a(1)=36} ogf] A173187 8.26997 [1/(9*x-1)^4 ogf] A173188 4.86511 [{(-n-2)*a(n+2)+(63+9*n)*a(n+1),a(0)=1,a(1)=54} ogf] A173188 45.8738 [-54/(9*x-1) lgdogf] A173188 5.92761 [1/(9*x-1)^6 ogf] A173191 4.96974 [{(-n-2)*a(n+2)+(72+9*n)*a(n+1),a(0)=1,a(1)=63} ogf] A173191 46.8820 [-63/(9*x-1) lgdogf] A173191 5.26792 [-1/(9*x-1)^7 ogf] A173192 47.8902 [-72/(9*x-1) lgdogf] A173192 5.07436 [{(-n-2)*a(n+2)+(81+9*n)*a(n+1),a(0)=1,a(1)=72} ogf] A173193 11.5615 [-(50*x-7)/(10*x-1)/(x-1) ogf] A173193 12.3498 [-(27-140*x+500*x^2)/(-1+x)/(50*x-7)/(10*x-1) lgdogf] A173193 12.3498 [-1/20*(-7-11*x+(49-46*x+81*x^2)^(1/2))/(5+x) revogf] A173193 5.78074 [-(157*f(x)-370)*(10*f(x)*x^2-11*f(x)*x+f(x)+50*x-7) ogf] A173193 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=7,a(1)=27} ogf] A173196 13.2067 [x^2/(x+1)/(x-1)^4 ogf] A173196 38.1590 [[3+x] ogf_with_Euler_transform] A173196 39.8912 [-(3+5*x)/(x-1)/(x+1) lgdogf] A173196 6.10308 [{(-1-n)*a(n+3)+3*a(n+2)+(4+n)*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A173197 16.8436 [-(5*x^3-x^2+x-1)/(x-1)/(2*x-1)/(x+1) ogf] A173197 17.9245 [-(1+4*x+3*x^4-24*x^2+24*x^3)/(x-1)/(2*x-1)/(x+1)/(5*x^3-x^2+x-1) lgdogf] A173197 8.80462 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=2} ogf] A173197 9.52632 [(39*f(x)-179)*(2*f(x)*x^3-f(x)*x^2+5*x^3-2*f(x)*x-x^2+f(x)+x-1) ogf] A173200 17.6616 [-2*(35+50*x+11*x^2)/(x-1)/(11*x^2+26*x+11) lgdogf] A173200 3.61798 [{(-33-11*n)*a(n+4)+(40-15*n)*a(n+3)+(115+15*n)*a(n+2)+(22+11*n)*a(n+1),a(0)=0,a(1)=11,a(2)=70,a(3)=225} ogf] A173200 5.18992 [(40800*f(x)+462017)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-11*x^3-4*f(x)*x-26*x^2+f(x)-11*x) ogf] A173200 9.90183 [x*(11*x^2+26*x+11)/(x-1)^4 ogf] A173202 10.0726 [x*(5*x^2+38*x+5)/(x-1)^4 ogf] A173202 18.8365 [-2*(29+62*x+5*x^2)/(x-1)/(5*x^2+38*x+5) lgdogf] A173202 3.65378 [{(-15-5*n)*a(n+4)+(-8-33*n)*a(n+3)+(157+33*n)*a(n+2)+(10+5*n)*a(n+1),a(0)=0,a(1)=5,a(2)=58,a(3)=207} ogf] A173202 5.21239 [(43680*f(x)+666191)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-38*x^2+f(x)-5*x) ogf] A173205 13.0511 [1/(x^2-98*x+1) ogf] A173205 18.8468 [-2*(-49+x)/(x^2-98*x+1) lgdogf] A173205 5.22043 [(4801*f(x)+1)*(f(x)*x^2-98*f(x)*x+f(x)-1) ogf] A173205 5.28257 [{-a(n+2)+98*a(n+1)-a(n),a(0)=1,a(1)=98} ogf] A173205 9.22291 [-1/2*(-1-98*x+(1+100*x)^(1/2)*(96*x+1)^(1/2))/x revogf] A173208 7.56661 [(f(x)*x^2-18*f(x)*x+f(x)+2*x-2)^2 ogf] A173227 3.71549 [{(-n^2-5*n-6)*a(n+1)+(n^2+7*n+13)*a(n+2)+(-2*n-8)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=18} ogf] A173234 8.43890 [-x*(x^5-2*x^4+2*x^3-3*x^2-1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A173234 9.49911 [-(-1-5*x+2*x^8+5*x^6-10*x^5-2*x^4-10*x^3-5*x^7+2*x^2)/(x-1)/(x+1)/(1+x^2)/(x^5-2*x^4+2*x^3-3*x^2-1) lgdogf] A173237 17.6994 [(10*x+1)/(x-1)^2/(x+1)^2 ogf] A173237 22.8493 [-2*(5+2*x+15*x^2)/(x-1)/(10*x+1)/(x+1) lgdogf] A173237 4.38104 [{(-n-4)*a(n+4)+(-20-10*n)*a(n+3)+(6+n)*a(n+2)+(40+10*n)*a(n+1),a(0)=1,a(1)=10,a(2)=2,a(3)=20} ogf] A173237 9.03031 [-(5841*f(x)-385199)*(f(x)*x^4-2*f(x)*x^2+f(x)-10*x-1) ogf] A173243 4.19197 [(x+1)^10/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A173243 7.15189 [-(x-1)*(9*x^8+18*x^7+21*x^6+18*x^5+17*x^4+18*x^3+21*x^2+18*x+9)/(x+1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) lgdogf] A173244 5.17628 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A173245 19.9948 [x^10-10*x+9 ogf_with_Euler_transform] A173245 5.53240 [-(-1+x)*(9*x^8+16*x^7+21*x^6+24*x^5+25*x^4+24*x^3+21*x^2+16*x+9)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A173246 26.2439 [[49-50*x] ogf_with_Euler_transform] A173246 27.3701 [(-49+51*x)/(x-1)/(x+1) lgdogf] A173246 4.38661 [{(-n-3)*a(n+3)+49*a(n+2)+(-50+n)*a(n+1),a(0)=1,a(1)=49,a(2)=1175} ogf] A173247 10.7704 [(x^3-x^2-1)/(x+1)^3 ogf] A173247 24.7803 [(3-2*x+4*x^2)/(x+1)/(x^3-x^2-1) lgdogf] A173247 5.26372 [{a(n+4)+3*a(n+3)+3*a(n+2)+a(n+1),a(0)=-1,a(1)=3,a(2)=-7,a(3)=14} ogf] A173247 5.93284 [(135*f(x)-19)*(f(x)*x^3+3*f(x)*x^2-x^3+3*f(x)*x+x^2+f(x)+1) ogf] A173248 23.3014 [(4-3*x^2+5*x^3)/(x+1)/(x^4-x^3-1) lgdogf] A173248 4.94056 [-(32*f(x)+4037)*(f(x)*x^4+4*f(x)*x^3-x^4+6*f(x)*x^2+x^3+4*f(x)*x+f(x)+1) ogf] A173248 9.54273 [(x^4-x^3-1)/(x+1)^4 ogf] A173254 7.13713 [-(1+2*x-3*x^6+6*x^7+6*x^4-2*x^3+2*x^8+x^10+x^12-2*x^9)/(x-1)/(x+1)/(x^7-x^6+x^3-x+1)/(1+x^4) lgdogf] A173254 7.22949 [-(x^7-x^6+x^3-x+1)/(x+1)/(x^4+1)/(x-1)^3 ogf] A173259 13.1926 [{a(n+3)-a(n),a(0)=4,a(1)=1,a(2)=4} ogf] A173259 18.9177 [f(x)*x^3+4*x^2-f(x)+x+4 ogf] A173259 19.6797 [-(2*x+1)*(2*x^3+6*x+1)/(x-1)/(x^2+x+1)/(4*x^2+x+4) lgdogf] A173259 20.4620 [-(4*x^2+x+4)/(x-1)/(x^2+x+1) ogf] A173262 11.5615 [-(70*x-9)/(10*x-1)/(x-1) ogf] A173262 12.3498 [-(29-180*x+700*x^2)/(-1+x)/(70*x-9)/(10*x-1) lgdogf] A173262 12.3498 [-1/20*(-9-11*x+(81-82*x+81*x^2)^(1/2))/(7+x) revogf] A173262 5.78074 [-(139*f(x)-410)*(10*f(x)*x^2-11*f(x)*x+f(x)+70*x-9) ogf] A173262 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=9,a(1)=29} ogf] A173267 17.4863 [-2*(60*x+61)/(x-1)^3 ogf] A173267 35.0598 [-3*(81+40*x)/(60*x+61)/(x-1) lgdogf] A173267 7.97374 [(117464743*f(x)-19373103446)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+120*x+122) ogf] A173267 8.37578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=122,a(1)=486,a(2)=1092} ogf] A173275 17.8823 [-2*(84*x+85)/(x-1)^3 ogf] A173275 34.6290 [-3*(113+56*x)/(84*x+85)/(x-1) lgdogf] A173275 8.08957 [(574218905*f(x)-132193545178)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+168*x+170) ogf] A173275 8.56546 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=170,a(1)=678,a(2)=1524} ogf] A173276 14.1617 [(x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A173276 21.7427 [-x^5+x^4+x^2+1 ogf_with_Euler_transform] A173276 6.42033 [-(1+x+x^6+x^5+3*x^7+7*x^4+2*x^3+4*x^2)/(-1+x)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A173277 19.0268 [3*x^15+3*x^7+3*x^3+3*x+4 ogf_with_Euler_transform] A173294 15.6126 [(x^4-26*x^2-7)/(x+1)^2/(x-1)^3 ogf] A173294 21.4179 [-(-7-87*x+x^5+x^4-26*x^2-74*x^3)/(x-1)/(x+1)/(x^4-26*x^2-7) lgdogf] A173299 7.01977 [(x^9-x^7+x^6-15*x^5+5*x^4+7*x^3+5*x^2+2*x+1)/(x^4-4*x^2+1)/(x^4+4*x^2+1) ogf] A173300 13.1352 [(2*x^5-2*x^3-2*x^2-x-1)/(2*x^2-1)/(2*x^2+1) ogf] A173300 9.18051 [(61*f(x)+46)*(4*f(x)*x^4-2*x^5+2*x^3+2*x^2-f(x)+x+1) ogf] A173300 9.42104 [(1+4*x+8*x^8+8*x^6+16*x^5+2*x^4+16*x^3+6*x^2)/(2*x^2-1)/(2*x^2+1)/(2*x^5-2*x^3-2*x^2-x-1) lgdogf] A173307 10.5603 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+26*x ogf] A173307 16.1188 [-26*x/(x-1)^3 ogf] A173307 56.6443 [[3] ogf_with_Euler_transform] A173307 6.56164 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=26,a(2)=78} ogf] A173307 91.2998 [-3/(x-1) lgdogf] A173308 10.4942 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+34*x ogf] A173308 16.6000 [-34*x/(x-1)^3 ogf] A173308 58.3352 [[3] ogf_with_Euler_transform] A173308 6.69823 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=34,a(2)=102} ogf] A173308 94.0664 [-3/(x-1) lgdogf] A173309 16.7603 [-38*x/(x-1)^3 ogf] A173309 58.8988 [[3] ogf_with_Euler_transform] A173309 6.76295 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=38,a(2)=114} ogf] A173309 9.88431 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+38*x ogf] A173309 94.9887 [-3/(x-1) lgdogf] A173314 3.33656 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=7,a(1)=7,a(2)=13} ogf] A173315 10.5791 [(14*x^3+12*x^2+5*x+1)/(2*x+1)/(2*x^2+2*x+1) ogf] A173315 13.4480 [(1+6*x+6*x^2)^2/(2*x+1)/(14*x^3+12*x^2+5*x+1)/(2*x^2+2*x+1) lgdogf] A173315 5.69027 [{a(n+4)+4*a(n+3)+6*a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=-4} ogf] A173315 6.00892 [-(f(x)-1)*(4*f(x)*x^3+6*f(x)*x^2-14*x^3+4*f(x)*x-12*x^2+f(x)-5*x-1) ogf] A173316 3.33656 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=5,a(1)=5,a(2)=11} ogf] A173317 3.33861 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=4,a(1)=4,a(2)=9} ogf] A173319 3.33656 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=6,a(1)=6,a(2)=11} ogf] A173321 3.30252 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=3,a(1)=3,a(2)=7} ogf] A173322 4.18966 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=5,a(1)=5,a(2)=9} ogf] A173323 3.30252 [{(n^2+4*n+4)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+1)*a(n+3),a(0)=2,a(1)=2,a(2)=5} ogf] A173324 4.18966 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=4,a(1)=4,a(2)=7} ogf] A173329 4.91057 [(x^21-x^20+x^18-x^16+x^14-x^13+x^11-x^9+x^7-x^2+1)/(x^8+x^7-x^5-x^4-x^3+x+1)/(x-1)^2 ogf] A173343 10.9066 [(x+1)/(x^4+x^3+2*x^2-x+1) ogf] A173343 14.2455 [-(-2+4*x+5*x^2+6*x^3+3*x^4)/(x+1)/(x^4+x^3+2*x^2-x+1) lgdogf] A173343 5.1977 [-(178*f(x)+31)*(f(x)*x^4+f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-x-1) ogf] A173344 15.2688 [-x*(-4-x-2*x^2+3*x^3)/(x-1)/(x^4+x^3+2*x^2-x+1) lgdogf] A173344 4.83869 [-(f(x)+1)*(f(x)*x^4+f(x)*x^3+2*f(x)*x^2-f(x)*x+x^2+f(x)-x) ogf] A173344 9.60294 [-x*(x-1)/(x^4+x^3+2*x^2-x+1) ogf] A173345 7.90712 [-x^4*(2*x^20+x^15+x^10+x^5+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^3 ogf] A173388 12.4004 [-(x^7-x^6+x+1)/(x^4+x^2-1) ogf] A173388 9.08388 [(-1-2*x-x^2-4*x^3-3*x^4+6*x^5-7*x^6-4*x^7+5*x^8-2*x^9+3*x^10)/(x^4+x^2-1)/(x^7-x^6+x+1) lgdogf] A173391 10.2277 [-3*(x^2-8*x+3)/(3*x-1)/(x-1)^2 ogf] A173391 12.6784 [-(-7+33*x-45*x^2+3*x^3)/(x-1)/(3*x-1)/(x^2-8*x+3) lgdogf] A173391 5.32873 [-(92*f(x)+237)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+3*x^2-f(x)-24*x+9) ogf] A173391 5.56245 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=9,a(1)=21,a(2)=45} ogf] A173393 3.44116 [-(3111859729*f(x)+29730749172)*(12*f(x)*x^3-25*f(x)*x^2+14*f(x)*x+12*x^2-f(x)-144*x+22) ogf] A173393 4.00994 [{a(n+3)-14*a(n+2)+25*a(n+1)-12*a(n),a(0)=22,a(1)=164,a(2)=1758} ogf] A173393 7.13534 [-2*(6*x^2-72*x+11)/(12*x-1)/(x-1)^2 ogf] A173393 7.90188 [-2*(-41+228*x+36*x^3-828*x^2)/(x-1)/(12*x-1)/(6*x^2-72*x+11) lgdogf] A173432 12.1303 [-(1+2*x+2*x^5-x^4+4*x^3-4*x^2)/(-1+x)/(x+1)/(1+x^2)/(x^2-x+1) lgdogf] A173432 12.2042 [-(x^2+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A173432 16.9209 [x^5-x^3-x^2+x+1 ogf_with_Euler_transform] A173432 6.15609 [-(22*f(x)-39)*(f(x)*x^4-f(x)*x^3+f(x)*x+x^2-f(x)+1) ogf] A173434 10.7506 [-2*(-1+3*x^5-4*x^3+3*x^2)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A173434 11.6295 [x^3/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A173435 10.4454 [(19*x^3+36*x^2+26*x+8)/(2*x+1)/(2*x^2+2*x+1) ogf] A173435 10.5821 [-(6+24*x+30*x^4+56*x^3+51*x^2)/(2*x+1)/(2*x^2+2*x+1)/(19*x^3+36*x^2+26*x+8) lgdogf] A173435 5.61243 [{-a(n+4)-4*a(n+3)-6*a(n+2)-4*a(n+1),a(0)=8,a(1)=-6,a(2)=12,a(3)=-25} ogf] A173435 6.11435 [(7*f(x)-20)*(4*f(x)*x^3+6*f(x)*x^2-19*x^3+4*f(x)*x-36*x^2+f(x)-26*x-8) ogf] A173474 10.5156 [-f(x)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A173474 18.2413 [-x*(x-2)/(x-1)^2 ogf] A173474 30.3791 [x/(1+x)^(1/2)/(1+(1+x)^(1/2)) revogf] A173474 48.9441 [-(x-3)/(x-1)/(x-2) lgdogf] A173474 8.84974 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=0,a(1)=2,a(2)=3} ogf] A173480 6.22852 [-(10*f(x)*x-f(x)+9)^3 ogf] A173486 7.2909 [-(10*f(x)*x-f(x)+900)^3 ogf] A173495 10.9150 [-(2*x^3-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A173495 11.3340 [-(1+2*x+2*x^6+4*x^7-3*x^4-3*x^2)/(-1+x)/(x^2+x+1)/(x^2+x-1)/(2*x^3-1) lgdogf] A173502 23.4642 [-2*(2*x+1)/(2*x^2+1+2*x) lgdogf] A173511 12.3106 [-x*(3*x^2+9*x+4)/(x+1)/(x-1)^3 ogf] A173511 16.0959 [-(17+40*x+6*x^3+33*x^2)/(x-1)/(x+1)/(3*x^2+9*x+4) lgdogf] A173511 6.20299 [-(51712*f(x)+1318121)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x+9*x^2-f(x)+4*x) ogf] A173512 13.7957 [(3*x^2+9*x+4)/(x-1)^2/(x+1) ogf] A173512 16.8471 [-(13+27*x+3*x^3+21*x^2)/(x-1)/(x+1)/(3*x^2+9*x+4) lgdogf] A173512 7.13169 [(14016*f(x)-6545)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-9*x-4) ogf] A173512 7.38192 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=13,a(2)=20} ogf] A173516 4.16649 [{(-3*n-9)*a(n+1)+(3*n+13)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=64} ogf] A173521 2.8568 [(72159140862171*f(x)-21563655422000)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-2000*x^2-f(x)+1010*x) ogf] A173521 3.30669 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=1010,a(2)=110110} ogf] A173521 5.91479 [10*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A173535 13.1560 [-(7*x-1)/(12*x-1)/(x-1) ogf] A173535 13.1860 [-1/24*(-6-13*x+(36+108*x+121*x^2)^(1/2))/(1+x) revogf] A173535 15.1639 [-(11-24*x+24*x^2)/(x-1)/(2*x-1)/(12*x-1) lgdogf] A173535 6.578 [-(109*f(x)-73)*(12*f(x)*x^2-13*f(x)*x+f(x)+7*x-1) ogf] A173535 7.36110 [{a(n+2)-13*a(n+1)+12*a(n),a(0)=1,a(1)=6} ogf] A173536 7.30859 [-x*(2+75*x^7+8*x^8+160*x^6+27*x+16*x^2+117*x^3+9*x^9+186*x^4+48*x^5)/(x-1)/(x^2+x+1)/(9*x^8+4*x^7+25*x^6+22*x^5+4*x^4+6*x^3+x^2+1) lgdogf] A173536 8.66888 [-(9*x^8+4*x^7+25*x^6+22*x^5+4*x^4+6*x^3+x^2+1)/(x-1)^3/(x^2+x+1)^3 ogf] A173559 10.1117 [-(6+26*x+22*x^4+48*x^3+57*x^2)/(2*x-1)/(2*x^2+2*x+1)/(19*x^3+15*x^2+6*x-1) lgdogf] A173559 5.71753 [{-a(n+4)+2*a(n+2)+4*a(n+1),a(0)=1,a(1)=-6,a(2)=-13,a(3)=-27} ogf] A173559 6.08471 [(3805*f(x)-7452)*(4*f(x)*x^3+2*f(x)*x^2-19*x^3-15*x^2-f(x)-6*x+1) ogf] A173559 9.89901 [(19*x^3+15*x^2+6*x-1)/(2*x-1)/(2*x^2+2*x+1) ogf] A173562 9.32153 [-x*(3*x^3+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A173562 9.85326 [-(4+10*x+14*x^5+20*x^4+20*x^3+19*x^2+9*x^6)/(x-1)/(x+1)/(x^2+1)/(3*x^3+2*x^2+2*x+1) lgdogf] A173565 6.39608 [-3/(-1+x) lgdogf] A173593 10.7337 [-(4*x^4+2*x^3-5*x-3)/(x-1)/(x^2+x+1)/(2*x^2-1) ogf] A173593 7.68709 [-(5+12*x-26*x^4-6*x^3+13*x^2-24*x^5+8*x^8+8*x^7+4*x^6)/(x-1)/(x^2+x+1)/(4*x^4+2*x^3-5*x-3)/(2*x^2-1) lgdogf] A173598 10.6782 [-(5*x^5+4*x^4+2*x^3+7*x^2+8*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A173633 7.70208 [(x^8+x^6+x^3+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A173635 11.1551 [-(2*x^4+4*x^3+4*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A173635 7.00501 [-(1+8*x+2*x^8+12*x^6+4*x^5+8*x^7+5*x^4+8*x^3+12*x^2)/(-1+x)/(x^4+x^3+x^2+x+1)/(2*x^4+4*x^3+4*x^2+x+1) lgdogf] A173644 11.3959 [-(7*x^13-x^9-3*x^8-5*x^7-21*x^6-4*x^5-8*x^4-12*x^3-x^2-3*x-5)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A173645 20.5896 [x^10-x^9+x^4+3 ogf_with_Euler_transform] A173645 8.10687 [x^4*(x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A173650 10.4629 [-2*(1+4*x-7*x^4+2*x^5+8*x^2)/(x+1)/(x^2-2*x-1)/(2*x^3-4*x^2-x+1) lgdogf] A173650 10.6332 [-x^2*(x^2-2*x-1)/(x+1)/(2*x^3-4*x^2-x+1) ogf] A173650 6.31077 [-(9*f(x)-1)*(2*f(x)*x^4-2*f(x)*x^3+x^4-5*f(x)*x^2-2*x^3-x^2+f(x)) ogf] A173652 5.78495 [-x^3*(x^4-6*x^3-x^2+4*x+1)/(x^3+x^2-1)/(x^6-2*x^5+9*x^4-2*x^3-8*x^2+1) ogf] A173653 7.66328 [x^4*(x^4+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^4 ogf] A173657 10.1335 [-(7-54*x+102*x^4-204*x^3+157*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(17*x^2-17*x+4) lgdogf] A173657 11.7668 [-(17*x^2-17*x+4)/(x-1)/(3*x-1)/(2*x-1) ogf] A173657 6.17277 [-(118*f(x)-421)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+17*x^2-f(x)-17*x+4) ogf] A173657 6.60594 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=4,a(1)=7,a(2)=15} ogf] A173659 5.28306 [x^3*(x-1)*(x^4+4*x^3-x^2-4*x-1)/(x^6+5*x^5-9*x^4-3*x^3+7*x^2+x-1)/(x^3+x^2-1) ogf] A173661 10.3829 [-(2*x^3-5*x^2+4*x+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A173661 5.77761 [(3309*f(x)+608)*(f(x)*x^4-3*f(x)*x^3+2*x^3+3*f(x)*x-5*x^2-f(x)+4*x+1) ogf] A173661 8.08154 [-(7-10*x+2*x^6-10*x^5+27*x^4+12*x^2-32*x^3)/(x-1)/(x+1)/(x^2-3*x+1)/(2*x^3-5*x^2+4*x+1) lgdogf] A173673 8.35328 [-x^3*(x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-1) ogf] A173674 7.43303 [-x*(x+1)*(x^2+1)*(x^12-x^11+x^9-x^7+x^6+x-1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x-1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A173686 10.5710 [-(2*x^8+8*x^7+5*x^6+3*x^5+2*x^2+8*x+2)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A173690 22.7320 [-x^5+x^4+x^2+3 ogf_with_Euler_transform] A173690 9.08971 [x^2*(x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A173690 9.85270 [-(3+3*x+3*x^6+3*x^5+11*x^4+6*x^3+5*x^7+6*x^2)/(x-1)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A173691 22.5205 [-x^7+x^5+x^3+3 ogf_with_Euler_transform] A173691 8.55274 [-(3+3*x+3*x^6+12*x^5+5*x^9+3*x^8+3*x^7+6*x^4+3*x^2+7*x^3)/(x-1)/(x+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A173691 9.00516 [x^2*(x^4+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^4 ogf] A173704 13.5995 [-x^2*(x^2+x+4)/(x+1)/(x-1)^5 ogf] A173704 26.0931 [-(17+30*x+4*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+4) lgdogf] A173707 11.1727 [-x^2*(x^3+3*x+2)/(x^2+x+1)/(x-1)^5 ogf] A173707 17.5089 [-(11+20*x+4*x^5+4*x^4+22*x^3+29*x^2)/(x-1)/(x^2+x+1)/(x^3+3*x+2) lgdogf] A173711 10.1351 [x^6/(x+1)/(x^4+1)/(x-1)^2 ogf] A173711 17.0095 [-(1+3*x+7*x^5+x^4-4*x^3)/(x-1)/(x+1)/(1+x^4) lgdogf] A173712 10.2606 [(5*x^3+5*x^2+4*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A173712 6.48546 [(228*f(x)-77)*(10*f(x)*x^4-11*f(x)*x^2-5*x^3-5*x^2+f(x)-4*x-1) ogf] A173712 7.49363 [-(-4-32*x+175*x^4+40*x^3-59*x^2+100*x^5+50*x^6)/(x-1)/(x+1)/(10*x^2-1)/(5*x^3+5*x^2+4*x+1) lgdogf] A173714 6.06248 [-x*(x^3-x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A173714 6.77125 [-(2+2*x+x^6-4*x^5+2*x^7-7*x^4+x^2)/(-1+x)/(x^2+x+1)/(x^2+x-1)/(x^3-x-1) lgdogf] A173721 19.9418 [x^6-2*x^5+2*x^2+x+2 ogf_with_Euler_transform] A173721 6.52184 [x^2*(x+1)*(x^2-x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A173721 7.75132 [-(2+4*x+6*x^4+6*x^3+8*x^2+6*x^5+5*x^9+2*x^8+4*x^7+13*x^6)/(x-1)/(x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A173722 13.0638 [-(2+2*x+5*x^5-3*x^4+7*x^3+3*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A173722 19.8463 [-x^5+x^3+x^2+x+2 ogf_with_Euler_transform] A173722 8.09724 [x^2*(x^2-x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A173731 10.1346 [-x^2/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A173731 10.2004 [-(11-66*x+5*x^4+99*x^2-44*x^3)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) lgdogf] A173734 11.5615 [-2*(35*x-4)/(10*x-1)/(x-1) ogf] A173734 12.0753 [-1/20*(-8-11*x+(64-104*x+81*x^2)^(1/2))/(7+x) revogf] A173734 12.9378 [-(9-80*x+350*x^2)/(-1+x)/(35*x-4)/(10*x-1) lgdogf] A173734 5.90374 [-(19*f(x)+10)*(10*f(x)*x^2-11*f(x)*x+f(x)+70*x-8) ogf] A173734 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=8,a(1)=18} ogf] A173735 11.9004 [-(29*x-3)/(10*x-1)/(x-1) ogf] A173735 12.7146 [-1/20*(-4-11*x+(16-32*x+81*x^2)^(1/2))/(x+3) revogf] A173735 13.3201 [-(7-40*x+150*x^2)/(-1+x)/(15*x-2)/(10*x-1) lgdogf] A173735 6.07682 [-(27*f(x)-17)*(10*f(x)*x^2-11*f(x)*x+f(x)+29*x-3) ogf] A173735 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=3,a(1)=4} ogf] A173736 11.5615 [-5*(8*x-1)/(10*x-1)/(x-1) ogf] A173736 12.3498 [-1/20*(-5-11*x+(25-50*x+81*x^2)^(1/2))/(4+x) revogf] A173736 13.5847 [-(3-20*x+80*x^2)/(-1+x)/(8*x-1)/(10*x-1) lgdogf] A173736 5.72115 [-(439*f(x)-1790)*(10*f(x)*x^2-11*f(x)*x+f(x)+40*x-5) ogf] A173736 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=5,a(1)=15} ogf] A173737 11.5615 [-2*(25*x-3)/(10*x-1)/(x-1) ogf] A173737 12.3498 [-1/20*(-6-11*x+(36-68*x+81*x^2)^(1/2))/(5+x) revogf] A173737 12.3498 [-2*(4-30*x+125*x^2)/(-1+x)/(25*x-3)/(10*x-1) lgdogf] A173737 5.60557 [-(2043*f(x)-10210)*(10*f(x)*x^2-11*f(x)*x+f(x)+50*x-6) ogf] A173737 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=6,a(1)=16} ogf] A173763 99.9999 Evaluated at exp(-Pi) 3/256*exp(Pi)*Pi^5/GAMMA(3/4)^20 A173764 11.5615 [-3*(20*x-3)/(10*x-1)/(x-1) ogf] A173764 12.3498 [-1/20*(-9-11*x+(81-42*x+81*x^2)^(1/2))/(6+x) revogf] A173764 12.6370 [-(13-60*x+200*x^2)/(-1+x)/(20*x-3)/(10*x-1) lgdogf] A173764 5.84159 [-(83*f(x)-240)*(10*f(x)*x^2-11*f(x)*x+f(x)+60*x-9) ogf] A173764 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=9,a(1)=39} ogf] A173766 11.5615 [-(40*x-7)/(10*x-1)/(x-1) ogf] A173766 12.3498 [-(37-140*x+400*x^2)/(-1+x)/(40*x-7)/(10*x-1) lgdogf] A173766 12.6370 [-1/20*(-7-11*x+(49-6*x+81*x^2)^(1/2))/(4+x) revogf] A173766 5.78074 [-(267*f(x)-500)*(10*f(x)*x^2-11*f(x)*x+f(x)+40*x-7) ogf] A173766 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=7,a(1)=37} ogf] A173768 11.5615 [(30*x+1)/(10*x-1)/(x-1) ogf] A173768 12.3498 [-(-41+20*x+300*x^2)/(-1+x)/(30*x+1)/(10*x-1) lgdogf] A173768 12.3498 [-1/20*(-1-11*x+(1+142*x+81*x^2)^(1/2))/(x-3) revogf] A173768 5.96722 [(431*f(x)+1250)*(10*f(x)*x^2-11*f(x)*x+f(x)-30*x-1) ogf] A173768 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=41} ogf] A173770 11.5615 [(10*x+3)/(10*x-1)/(x-1) ogf] A173770 12.3498 [-(-43+60*x+100*x^2)/(-1+x)/(10*x+3)/(10*x-1) lgdogf] A173770 12.3498 [-1/20*(-3-11*x+(9+106*x+81*x^2)^(1/2))/(x-1) revogf] A173770 6.03208 [(413*f(x)+610)*(10*f(x)*x^2-11*f(x)*x+f(x)-10*x-3) ogf] A173770 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=3,a(1)=43} ogf] A173772 11.5615 [-(30*x-7)/(10*x-1)/(x-1) ogf] A173772 12.3498 [-(47-140*x+300*x^2)/(-1+x)/(30*x-7)/(10*x-1) lgdogf] A173772 12.3498 [-1/20*(-7-11*x+(49+34*x+81*x^2)^(1/2))/(x+3) revogf] A173772 5.78074 [-(377*f(x)-430)*(10*f(x)*x^2-11*f(x)*x+f(x)+30*x-7) ogf] A173772 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=7,a(1)=47} ogf] A173773 8.32219 [-(1+12*x+2*x^6+2*x^7+30*x^2+9*x^3+34*x^4+18*x^5)/(x-1)/(x+1)/(x^2+x+1)/(2*x^4-x^3+7*x^2-x+2) lgdogf] A173773 9.65456 [(x+1)*(2*x^4-x^3+7*x^2-x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A173776 11.9004 [-(46*x-5)/(10*x-1)/(x-1) ogf] A173776 12.1618 [-1/4*(-5-11*x+(25-74*x+81*x^2)^(1/2))/(23+5*x) revogf] A173776 13.3201 [-(9-100*x+460*x^2)/(x-1)/(46*x-5)/(10*x-1) lgdogf] A173776 6.41822 [(f(x)-86)*(10*f(x)*x^2-11*f(x)*x+f(x)+46*x-5) ogf] A173776 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=5,a(1)=9} ogf] A173777 6.90168 [(x^9-2*x^8-x^6+2*x^5-x^4+2*x^3-2)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A173785 12.5247 [-(9+44*x+x^4+54*x^2+12*x^3)/(x-1)/(x^4+4*x^3+14*x^2+4*x+1) lgdogf] A173785 7.63439 [-2*(9*x^4+4*x^3+14*x^2-4*x+1)/(x-1)^5 ogf] A173802 11.5615 [(20*x+3)/(10*x-1)/(x-1) ogf] A173802 12.0753 [-1/20*(-3-11*x+(9+146*x+81*x^2)^(1/2))/(-2+x) revogf] A173802 12.3498 [-(-53+60*x+200*x^2)/(-1+x)/(20*x+3)/(10*x-1) lgdogf] A173802 5.96722 [(523*f(x)+1240)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-3) ogf] A173802 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=3,a(1)=53} ogf] A173804 11.5615 [(40*x+1)/(10*x-1)/(x-1) ogf] A173804 12.0753 [-1/20*(-1-11*x+(1+182*x+81*x^2)^(1/2))/(-4+x) revogf] A173804 12.3498 [-(-51+20*x+400*x^2)/(-1+x)/(40*x+1)/(10*x-1) lgdogf] A173804 5.96722 [(541*f(x)+2060)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-1) ogf] A173804 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=51} ogf] A173805 11.5615 [(50*x+1)/(10*x-1)/(x-1) ogf] A173805 12.0753 [-1/20*(-1-11*x+(1+222*x+81*x^2)^(1/2))/(-5+x) revogf] A173805 12.3498 [-(-61+20*x+500*x^2)/(-1+x)/(50*x+1)/(10*x-1) lgdogf] A173805 5.96722 [(651*f(x)+3070)*(10*f(x)*x^2-11*f(x)*x+f(x)-50*x-1) ogf] A173805 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=61} ogf] A173806 11.5615 [(60*x+1)/(10*x-1)/(x-1) ogf] A173806 12.0753 [-1/20*(-1-11*x+(1+262*x+81*x^2)^(1/2))/(-6+x) revogf] A173806 12.3498 [-(-71+20*x+600*x^2)/(-1+x)/(60*x+1)/(10*x-1) lgdogf] A173806 5.96722 [(761*f(x)+4280)*(10*f(x)*x^2-11*f(x)*x+f(x)-60*x-1) ogf] A173806 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=71} ogf] A173807 11.5615 [(40*x+3)/(10*x-1)/(x-1) ogf] A173807 12.0753 [-1/20*(-3-11*x+(9+226*x+81*x^2)^(1/2))/(-4+x) revogf] A173807 12.3498 [-(-73+60*x+400*x^2)/(-1+x)/(40*x+3)/(10*x-1) lgdogf] A173807 5.96722 [(743*f(x)+3100)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-3) ogf] A173807 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=3,a(1)=73} ogf] A173808 11.5615 [-(20*x-9)/(10*x-1)/(x-1) ogf] A173808 12.0753 [-(79-180*x+200*x^2)/(-1+x)/(-9+20*x)/(10*x-1) lgdogf] A173808 12.0753 [-1/20*(-9-11*x+(81+118*x+81*x^2)^(1/2))/(x+2) revogf] A173808 5.84159 [-(689*f(x)+40)*(10*f(x)*x^2-11*f(x)*x+f(x)+20*x-9) ogf] A173808 6.52884 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=9,a(1)=79} ogf] A173809 11.2608 [-(-3-9*x+2*x^4-9*x^3+3*x^2)/(x-1)/(x+1)/(x^3-4*x^2+3*x-2) lgdogf] A173809 7.72495 [-(x^3-4*x^2+3*x-2)/(x+1)/(x-1)^4 ogf] A173810 11.5615 [(70*x+1)/(10*x-1)/(x-1) ogf] A173810 12.0753 [-1/20*(-1-11*x+(1+302*x+81*x^2)^(1/2))/(-7+x) revogf] A173810 12.3498 [-(-81+20*x+700*x^2)/(-1+x)/(70*x+1)/(10*x-1) lgdogf] A173810 5.96722 [(871*f(x)+5690)*(10*f(x)*x^2-11*f(x)*x+f(x)-70*x-1) ogf] A173810 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=81} ogf] A173811 11.5615 [(50*x+3)/(10*x-1)/(x-1) ogf] A173811 12.0753 [-1/20*(-3-11*x+(9+266*x+81*x^2)^(1/2))/(-5+x) revogf] A173811 12.3498 [-(-83+60*x+500*x^2)/(-1+x)/(50*x+3)/(10*x-1) lgdogf] A173811 5.96722 [(853*f(x)+4330)*(10*f(x)*x^2-11*f(x)*x+f(x)-50*x-3) ogf] A173811 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=3,a(1)=83} ogf] A173812 11.5615 [(10*x+7)/(10*x-1)/(x-1) ogf] A173812 12.0753 [-(-87+140*x+100*x^2)/(-1+x)/(10*x+7)/(10*x-1) lgdogf] A173812 12.0753 [-1/20*(-7-11*x+(49+194*x+81*x^2)^(1/2))/(x-1) revogf] A173812 5.96722 [(817*f(x)+1850)*(10*f(x)*x^2-11*f(x)*x+f(x)-10*x-7) ogf] A173812 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=7,a(1)=87} ogf] A173813 10.9787 [-1/20*(-10-11*x+(100+540*x+81*x^2)^(1/2))/(-8+x) revogf] A173813 10.9859 [10*(8*x+1)/(10*x-1)/(x-1) ogf] A173813 12.8531 [-(-19+20*x+80*x^2)/(x-1)/(8*x+1)/(10*x-1) lgdogf] A173813 5.72671 [(189*f(x)+1720)*(10*f(x)*x^2-11*f(x)*x+f(x)-80*x-10) ogf] A173813 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=10,a(1)=190} ogf] A173833 11.5615 [(20*x+7)/(10*x-1)/(x-1) ogf] A173833 11.8128 [-1/20*(-7-11*x+(49+234*x+81*x^2)^(1/2))/(-2+x) revogf] A173833 12.0753 [-(-97+140*x+200*x^2)/(-1+x)/(20*x+7)/(10*x-1) lgdogf] A173833 5.96722 [(927*f(x)+2920)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-7) ogf] A173833 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=7,a(1)=97} ogf] A173834 10.1717 [-2*(7*x+2)*(15*x^2+5*x-2)/(x-1)/(10*x-1)/(21*x^2-4*x+1) lgdogf] A173834 4.56977 [(307557*f(x)-256997)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+21*x^2-f(x)-4*x+1) ogf] A173834 4.92432 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=8,a(2)=96} ogf] A173834 8.78802 [-(21*x^2-4*x+1)/(10*x-1)/(x-1)^2 ogf] A173835 10.4498 [-2*(6-34*x+95*x^2+95*x^3)/(-1+x)/(10*x-1)/(19*x^2-1) lgdogf] A173835 4.43961 [-(307557*f(x)+279623)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-19*x^2-f(x)+1) ogf] A173835 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=12,a(2)=104} ogf] A173835 9.09756 [(19*x^2-1)/(10*x-1)/(x-1)^2 ogf] A173847 14.8456 [-(f(x)*x-f(x)+1)^3 egf] A173855 10.0391 [4*(x+1)*(2*x^4-x^3+7*x^2-x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A173856 5.93934 [(x^7-x^2+1)*(x^7-x^5-1)/(x-1)/(x+1)/(x^4+1)/(x^8-x^4+1) ogf] A173857 12.6447 [(x^3-x^2-1)/(x-1)/(x^2+x+1) ogf] A173857 26.2886 [x*(2+x^3)/(x-1)/(x^2+x+1)/(x^3-x^2-1) lgdogf] A173857 7.12947 [{a(n+4)-a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=0} ogf] A173857 8.48317 [(f(x)-1)*(f(x)*x^3-x^3+x^2-f(x)+1) ogf] A173858 14.5176 [x^2*(x^2+1)*(3*x^4-4*x^2+3)/(x-1)/(x+1)/(x^6-x^4-x^3+x^2-1)/(x^4+1) lgdogf] A173858 7.39159 [(x^6-x^4-x^3+x^2-1)/(x^4+1)/(x-1)/(x+1) ogf] A173860 5.94672 [(x^24-x^21-x^18-x^16-x^13-x^11-x^9-x^4-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1) ogf] A173861 12.1585 [x^4*(x^2+1)*(5*x^8-8*x^6+8*x^4-8*x^2+5)/(x-1)/(x+1)/(x^10-x^8-x^5+x^2-1)/(x^8+1) lgdogf] A173861 7.22167 [(x^10-x^8-x^5+x^2-1)/(x-1)/(x+1)/(x^8+1) ogf] A173862 10.956 [-(f(x)-1)*(2*f(x)*x^3+x^2-f(x)+x+1) ogf] A173862 11.3885 [{a(n+3)-2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A173862 17.6637 [-(x^2+x+1)/(2*x^3-1) ogf] A173862 18.4705 [-(1+2*x+2*x^4+4*x^3+6*x^2)/(2*x^3-1)/(x^2+x+1) lgdogf] A173864 4.96683 [(x^10-x^8+x^6-x^5-x^4+x^2-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A173873 14.6404 [(12*x+1)/(2*x-1)/(x-1) ogf] A173873 16.4998 [-(-15+4*x+24*x^2)/(x-1)/(12*x+1)/(2*x-1) lgdogf] A173873 16.9228 [-1/4*(-1-3*x+(1+54*x+x^2)^(1/2))/(-6+x) revogf] A173873 7.56696 [(41*f(x)+184)*(2*f(x)*x^2-3*f(x)*x+f(x)-12*x-1) ogf] A173873 8.11398 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=15} ogf] A173911 4.61692 [1/(x^18-x^17+x^16-x^15-x^12+x^11-x^10+x^9-x^8+x^7-x^6-x^3+x^2-x+1) ogf] A173924 10.9142 [1/(x+1)/(x^2-x+1)/(x^10-x^7-x^5-x^3+1) ogf] A173924 9.23125 [-x^4*(-7*x^2-6*x-8*x^3-5+13*x^8)/(x+1)/(x^2-x+1)/(x^10-x^7-x^5-x^3+1) lgdogf] A173925 14.6624 [-(-1-15*x^14-8*x^7+16*x^15)/(-x^8+1-x+x^16-x^15) lgdogf] A173925 15.3090 [1/(x^16-x^15-x^8-x+1) ogf] A173936 3.83916 [{(-8*n^3-60*n^2-144*n-112)*a(n+1)+(-8*n^2-40*n-46)*a(n+2)+(-2*n-3)*a(n+3),a(0)=0,a(1)=-3,a(2)=42} ogf] A173952 13.8325 [-1/9*(-5*x-16+4*(x+2)^(1/2)*(8+x)^(1/2))/x revogf] A173952 16.9293 [32/(9*x-1)/(x-1) ogf] A173952 23.2386 [-2*(-5+9*x)/(9*x-1)/(x-1) lgdogf] A173952 6.58362 [(7381*f(x)+83808)*(9*f(x)*x^2-10*f(x)*x+f(x)-32) ogf] A173952 6.88984 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=32,a(1)=320} ogf] A173960 12.7493 [-(9*x^2-22*x+21)/(x-1)^3 ogf] A173960 20.7363 [-(41-26*x+9*x^2)/(x-1)/(9*x^2-22*x+21) lgdogf] A173960 6.80683 [(424*f(x)+1071)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-22*x+21) ogf] A173960 6.98439 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=41,a(2)=69} ogf] A173961 17.0217 [-(9+25*x+13*x^2+x^3)/(x-1)/(x+1)/(x^2+4*x+1) lgdogf] A173961 4.33688 [{(n^2+2*n)*a(n+1)+(-2*n^2-10*n-39)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=4,a(1)=36,a(2)=140} ogf] A173961 5.30062 [(324*f(x)+4631)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-20*x^2+f(x)-20*x-4) ogf] A173961 9.66190 [4*(x+1)*(x^2+4*x+1)/(x-1)^4 ogf] A173962 10.3204 [2*(7*x^2+10*x+7)/(x-1)^4 ogf] A173962 18.6884 [-2*(19+22*x+7*x^2)/(x-1)/(7*x^2+10*x+7) lgdogf] A173962 3.60713 [{(-7*n-28)*a(n+4)+(29-3*n)*a(n+3)+(50+3*n)*a(n+2)+(21+7*n)*a(n+1),a(0)=14,a(1)=76,a(2)=234,a(3)=536} ogf] A173962 5.34581 [(2492*f(x)+51829)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-14*x^2+f(x)-20*x-14) ogf] A173963 21.3719 [-3*(-9-2*x+x^2)/(x-1)/(x^2-2*x-5) lgdogf] A173963 3.65295 [{(131*n^2+545*n+566)*a(n+1)+(-744*n^2-4291*n-6507)*a(n+2)+(613*n^2+1818*n+1205)*a(n+3),a(0)=0,a(1)=0,a(2)=20} ogf] A173963 8.09460 [4*x^2*(x^2-2*x-5)/(x-1)^5 ogf] A173965 16.9353 [-(9+5*x+8*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2-x+2) lgdogf] A173965 4.22172 [{(-5*n^2-37*n-54)*a(n+1)+(10*n^2+50*n+6)*a(n+2)+(-5*n^2-13*n+6)*a(n+3),a(0)=2,a(1)=9,a(2)=25} ogf] A173965 5.27715 [(14688*f(x)+9251)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-x^2+f(x)-x-2) ogf] A173965 9.86895 [(x+1)*(2*x^2-x+2)/(x-1)^4 ogf] A173989 12.1083 [x^2*(x^4-x^3+x^2+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A173989 12.8281 [-(1+3*x-x^6+3*x^5+x^4+9*x^3-x^2+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2+1) lgdogf] A173992 12.3891 [-1/2*(-1-2*x-x^2+(1+6*x^2-4*x^3+x^4)^(1/2))/(1+2*x^2) revogf] A173992 8.27274 [-2*f(x)^2*x^3+f(x)^2*x^2+2*f(x)*x-f(x)-x+1 ogf] A173993 5.77476 [-3*f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2+4*f(x)*x-f(x)-x+1 ogf] A173993 9.88752 [-1/2*(-1-4*x-4*x^2+(1+4*x+12*x^2+12*x^3+4*x^4)^(1/2))/(1+2*x+3*x^2) revogf] A173998 3.28800 [{(-9*n-18)*a(n+1)+(23*n+67)*a(n+2)+(-15*n-54)*a(n+3)+(n+5)*a(n+4),a(0)=3,a(1)=13,a(2)=83,a(3)=673} ogf] A173998 5.76102 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*f(x)*x-f(x)-2*x+3 ogf] A174002 10.1873 [5*x/(x-1)^6 ogf] A174002 55.9442 [[6] ogf_with_Euler_transform] A174002 7.12119 [{(n+1)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=5} ogf] A174002 90.3630 [-6/(x-1) lgdogf] A174007 12.2384 [-(x^3+2*x^2-2)/(x-1)^2/(x+1)^2 ogf] A174007 18.8050 [-x*(-4+x^3+4*x^2+3*x)/(x-1)/(x+1)/(x^3+2*x^2-2) lgdogf] A174007 7.31902 [-(4*f(x)+25)*(f(x)*x^4-2*f(x)*x^2+x^3+2*x^2+f(x)-2) ogf] A174012 15.6870 [3*(2*x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A174012 19.5005 [-(1+12*x+3*x^2+4*x^3)/(x-1)/(x+1)/(2+x+2*x^2) lgdogf] A174012 7.64238 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=6,a(1)=3,a(2)=18} ogf] A174012 8.83988 [-(2*f(x)-33)*(f(x)*x^4-2*f(x)*x^2-6*x^3-3*x^2+f(x)-6*x) ogf] A174013 4.87215 [f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x+f(x)*x^2+3*f(x)*x-f(x)-x+1 ogf] A174013 9.51384 [1/2/(-1+x+x^2)*(-1-3*x-x^2+(1+2*x+11*x^2+14*x^3+5*x^4)^(1/2)) revogf] A174015 15.1923 [1/2+3/2*x+1/2*x^2-1/2*(1+2*x+7*x^2+6*x^3+x^4)^(1/2) revogf] A174015 8.98169 [-f(x)^2*x^2+f(x)^2*x-3*f(x)*x+f(x)+x-1 ogf] A174016 12.5808 [1/2+2*x+x^2-1/2*(1+4*x+16*x^2+16*x^3+4*x^4)^(1/2) revogf] A174016 7.4049 [-2*f(x)^2*x^2+f(x)^2*x-4*f(x)*x+f(x)+x-1 ogf] A174029 11.5021 [3*(3*x^3+5*x^2+6*x+1)/(x-1)^2/(x+1)^2 ogf] A174029 7.0058 [-(34*f(x)-295)*(f(x)*x^4-2*f(x)*x^2-9*x^3-15*x^2+f(x)-18*x-3) ogf] A174041 14.0281 [-(3*x^2-x-8)/(x-1)^2/(x+1) ogf] A174041 19.0759 [-(-9-19*x+3*x^3+x^2)/(x-1)/(x+1)/(3*x^2-x-8) lgdogf] A174041 7.01408 [-(2028*f(x)+36419)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-x-8) ogf] A174041 7.57272 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=8,a(1)=9,a(2)=14} ogf] A174091 11.9438 [(x^3-x+2)/(x^2+1)/(x-1)^2 ogf] A174091 6.10459 [-(28*f(x)+69)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+f(x)+x-2) ogf] A174091 67.2750 [-8/(-1+16*x) lgdegf] A174091 73.3910 [-x*(-1+4*x) revegf] A174107 5.34363 [f(x)^2*x^3-f(x)^2*x^2+f(x)^2*x-f(x)*x^2+f(x)*x-f(x)+1 ogf] A174114 12.6423 [-(2+14*x+x^5+3*x^4+11*x^2+17*x^3)/(x-1)/(x+1)/(x^4+x^3+4*x^2+x+1) lgdogf] A174114 9.00516 [-(x^4+x^3+4*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A174120 10.5789 [-(-2+14*x-35*x^2+27*x^3+4*x^4)/(x-1)/(2*x-1)/(x^3+4*x^2-4*x+1) lgdogf] A174120 7.69687 [-(x^3+4*x^2-4*x+1)/(2*x-1)/(x-1)^4 ogf] A174121 10.9666 [-(4-12*x+12*x^4+7*x^2-3*x^3)/(x-1)/(2*x-1)/(3*x^3-2*x^2+2*x-1) lgdogf] A174121 9.00251 [(3*x^3-2*x^2+2*x-1)/(2*x-1)/(x-1)^4 ogf] A174132 13.6624 [(x-3)/(x+1)/(3*x-1) ogf] A174132 14.3317 [1/2/(-1+3*x)*(-3-2*x+(9+8*x+16*x^2)^(1/2)) revogf] A174132 16.7203 [-(-5-18*x+3*x^2)/(3*x-1)/(x-3)/(x+1) lgdogf] A174132 6.7561 [-(28*f(x)-59)*(3*f(x)*x^2+2*f(x)*x-f(x)-x+3) ogf] A174132 7.49763 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=3,a(1)=5} ogf] A174138 6.79732 [(6*x^10+x^9+x^8+x^7+x^6+6*x^5+x^4+x^3+x^2+x+5)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A174139 5.21821 [x*(x^14+x^13+x^12+x^11+x^10+6*x^9+x^8+x^7+x^6+x^5+6*x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A174140 5.09879 [(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+10)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A174141 7.07977 [x*(16*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A174169 16.1975 [-1/6*(-1-x-x^2+(1+2*x-9*x^2+2*x^3+x^4)^(1/2))/x revogf] A174169 9.01868 [-f(x)^2*x^2+3*f(x)*x^2-f(x)*x+f(x)-1 ogf] A174171 13.8145 [1/4/x*(-1-x-x^2+(1+2*x+11*x^2+2*x^3+x^4)^(1/2)) revogf] A174171 8.60342 [f(x)^2*x^2+2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A174183 12.6486 [-f(x)*x+f(x)-9*x-1 egf] A174183 15.3835 [-(9*x+1)/(x-1) egf] A174183 3.98034 [{(9*n^2+9*n)*a(n)+(n^2-5*n+4)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=10} ogf] A174183 32.7768 [-10/(1+9*x)/(x-1) lgdegf] A174191 12.1034 [-(x+1)*(2*x-1)/(x-1)/(x^2+2*x-1) ogf] A174191 12.9388 [-2*(1-3*x+x^4+2*x^2+x^3)/(x-1)/(2*x-1)/(x+1)/(x^2+2*x-1) lgdogf] A174191 6.59204 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A174191 6.65142 [(2*f(x)+1)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+2*x^2+f(x)+x-1) ogf] A174192 5.26177 [(74*f(x)-399)*(f(x)*x^3+f(x)*x^2-3*f(x)*x-2*x^2+f(x)+x-1) ogf] A174192 5.35574 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A174192 9.83349 [(2*x^2-x+1)/(x-1)/(x^2+2*x-1) ogf] A174215 8.44172 [(30*x^55-30*x^54+x^25+3*x^23-4*x^22+12*x^19-12*x^18+x^7+4*x^6-5*x^5+x-2)/(x-1) ogf] A174227 13.4630 [1/20+1/2*x-1/20*(1-20*x+140*x^2)^(1/2) revogf] A174227 8.04857 [-f(x)^2*x-10*f(x)*x+f(x)+10*x-1 ogf] A174239 16.5692 [(x^3+x^2+1)/(x-1)^2/(x+1)^2 ogf] A174239 24.9385 [-x*(x+2)*(x^2+3)/(x-1)/(x+1)/(x^3+x^2+1) lgdogf] A174239 9.62594 [-(210*f(x)+527)*(f(x)*x^4-2*f(x)*x^2-x^3-x^2+f(x)-1) ogf] A174256 12.9034 [8*x^3*(2*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A174256 14.8689 [-(2+4*x+8*x^4+13*x^3+9*x^2)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A174256 9.46249 [f(x)*x^5-f(x)*x^3-16*x^4-f(x)*x^2-8*x^3+f(x) ogf] A174257 10.0726 [f(x)*x^5-f(x)*x^3-2*x^4-f(x)*x^2-x^3+f(x) ogf] A174257 13.7917 [x^3*(2*x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A174257 15.6514 [-(2+4*x+9*x^2+8*x^4+13*x^3)/(x-1)/(2*x+1)/(x+1)/(x^2+x+1) lgdogf] A174296 10.3260 [{-a(n+4)+a(n+2),a(0)=1,a(1)=2,a(2)=2,a(3)=3} ogf] A174296 11.9433 [(f(x)+1)*(f(x)*x^2+x^3+x^2-f(x)+2*x+1) ogf] A174296 17.3911 [-(x^3+x^2+2*x+1)/(x-1)/(x+1) ogf] A174296 21.1452 [(-2-4*x+x^4-5*x^2)/(x-1)/(x+1)/(x^3+x^2+2*x+1) lgdogf] A174297 5.78519 [-f(x)^2*x-f(x)*x^2-x^3+f(x)^2+3*f(x)*x+x^2-2*f(x)-2*x+1 ogf] A174312 10.5488 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=32} ogf] A174312 106.651 [-2/(x-1) lgdogf] A174312 14.4167 [-f(x)*x^2+2*f(x)*x-f(x)+32*x ogf] A174312 22.7632 [32*x/(x-1)^2 ogf] A174312 35.5503 [2*x/(4+(16+2*x)^(1/2))^2 revogf] A174312 66.2034 [[2] ogf_with_Euler_transform] A174316 10.5791 [-(4*x^5-2*x^4-x^3+2*x-1)/(2*x-1)/(x-1) ogf] A174316 9.06141 [(-1+4*x-56*x^5+36*x^4-2*x^3+24*x^6-7*x^2)/(x-1)/(2*x-1)/(4*x^5-2*x^4-x^3+2*x-1) lgdogf] A174317 10.0039 [(-2+10*x-29*x^2+4*x^5-21*x^4+40*x^3)/(x-1)/(2*x-1)/(x^4-6*x^3+3*x^2+x-1) lgdogf] A174317 10.6416 [-(x^4-6*x^3+3*x^2+x-1)/(2*x-1)/(x-1) ogf] A174317 5.78163 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=1,a(1)=2,a(2)=1,a(3)=5,a(4)=12} ogf] A174317 6.32988 [(1275*f(x)-16009)*(x^4+2*f(x)*x^2-6*x^3-3*f(x)*x+3*x^2+f(x)+x-1) ogf] A174318 3.37213 [{(n^2+5*n+6)*a(n+1)+(-n-3)*a(n+2)+(-n^2-5*n-4)*a(n+3)+(n+1)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A174325 5.12734 [-3*x*(7*x^10+5*x^9+39*x^8+4*x^7+74*x^6+18*x^5+58*x^4+2*x^3+15*x^2+x-1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A174333 12.4240 [-61*x*(x+1)/(x-1)^3 ogf] A174333 34.6407 [[4-x] ogf_with_Euler_transform] A174333 36.1092 [-2*(x+2)/(x-1)/(x+1) lgdogf] A174333 6.42997 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=61,a(2)=244} ogf] A174333 6.66378 [(4*f(x)+61)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+61*x^2-f(x)+61*x) ogf] A174334 12.5464 [-73*x*(x+1)/(x-1)^3 ogf] A174334 34.9820 [[4-x] ogf_with_Euler_transform] A174334 36.4703 [-2*(x+2)/(x-1)/(x+1) lgdogf] A174334 6.49332 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=73,a(2)=292} ogf] A174334 6.72944 [(4*f(x)+73)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+73*x^2-f(x)+73*x) ogf] A174335 15.4941 [-2*(4+7*x+x^2)/(x-1)/(x^2+4*x+1) lgdegf] A174335 3.47801 [-(165*f(x)+4348)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-16*x^3-4*f(x)*x-64*x^2+f(x)-16*x) egf] A174335 6.63567 [16*x*(x^2+4*x+1)/(x-1)^4 egf] A174337 11.8110 [-94*x*(x+1)/(x-1)^3 ogf] A174337 32.9127 [[4-x] ogf_with_Euler_transform] A174337 34.3091 [-2*(x+2)/(x-1)/(x+1) lgdogf] A174337 6.11271 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=94,a(2)=376} ogf] A174337 6.33498 [(2*f(x)+47)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+94*x^2-f(x)+94*x) ogf] A174338 12.3297 [-97*x*(x+1)/(x-1)^3 ogf] A174338 34.3684 [[4-x] ogf_with_Euler_transform] A174338 35.8352 [-2*(x+2)/(x-1)/(x+1) lgdogf] A174338 6.38118 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=97,a(2)=388} ogf] A174338 6.61322 [(4*f(x)+97)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+97*x^2-f(x)+97*x) ogf] A174339 12.1605 [-109*x*(x+1)/(x-1)^3 ogf] A174339 35.0456 [[4-x] ogf_with_Euler_transform] A174339 36.5519 [-2*(x+2)/(x-1)/(x+1) lgdogf] A174339 6.45034 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=109,a(2)=436} ogf] A174339 6.5645 [(4*f(x)+109)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+109*x^2-f(x)+109*x) ogf] A174347 30.1376 [x*(x-1)/(-1-2*x+x^2) revogf] A174347 7.53441 [-1/2*(1+2*(1-8*x+8*x^2)^(1/2)*x-(1-8*x+8*x^2)^(1/2))/(x-1)/x/(1-8*x+8*x^2)^(1/2) lgdogf] A174347 7.98854 [f(x)^2*x^2-f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A174353 10.1152 [(x^48-x^40+x^38-x^36+x^10-x^8+x^2-x-1)/(x-1) ogf] A174371 12.2700 [-(49*x^2+22*x+1)/(x-1)^3 ogf] A174371 18.9589 [-(25+142*x+49*x^2)/(x-1)/(49*x^2+22*x+1) lgdogf] A174371 6.49589 [(501*f(x)-11419)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+49*x^2-f(x)+22*x+1) ogf] A174371 6.72183 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=121} ogf] A174390 14.3293 [-(1-12*x+4*x^3+3*x^2)/(x-1)/(x+1)/(2*x^2+x-4) lgdogf] A174390 5.69714 [(3*f(x)+23)*(f(x)*x^4-2*f(x)*x^2+2*x^3+x^2+f(x)-4*x) ogf] A174390 9.15279 [-x*(2*x^2+x-4)/(x-1)^2/(x+1)^2 ogf] A174395 14.7120 [-2*x/(x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A174395 6.13965 [-(1897*f(x)-1944)*(6*f(x)*x^4-5*f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)+2*x) ogf] A174396 10.6242 [(x^4+3*x^3+x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A174396 6.92538 [-(4+6*x+7*x^6+7*x^5+x^7+17*x^4+16*x^3+14*x^2)/(-1+x)/(x+1)/(1+x^2)/(x^4+3*x^3+x^2+3*x+1) lgdogf] A174398 10.6969 [(4*x^3-x^2+2*x+1)/(x^2+1)/(x-1)^2 ogf] A174398 10.8781 [-2*(x^2-x+2)*(2*x^3+3*x^2+1)/(x-1)/(x^2+1)/(4*x^3-x^2+2*x+1) lgdogf] A174398 4.20236 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=8} ogf] A174398 6.01214 [(f(x)+3)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-4*x^3-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A174399 13.3690 [1/2/(-2+x)*(-1-x-x^2+(1-6*x+7*x^2+2*x^3+x^4)^(1/2)) revogf] A174399 7.89952 [-f(x)^2*x^2-f(x)*x^2-f(x)*x+f(x)+2*x-1 ogf] A174403 13.2697 [1/4/x*(-1-2*x-x^2+(1+4*x+14*x^2+4*x^3+x^4)^(1/2)) revogf] A174403 8.61154 [-f(x)^2*x^2-2*f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A174416 11.0560 [(2+2*x+2*x^4-4*x^3-39*x^20+20*x^19+19*x^21)/(-1+x)/(x^21-x^20+x^4-x^2-1) lgdogf] A174438 11.3072 [x*(x+2)*(x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A174443 12.0658 [8*f(x)*x^2-4*f(x)*x-f(x)+x ogf] A174443 20.4808 [1/16/x*(-1+4*x+(1-8*x+48*x^2)^(1/2)) revogf] A174443 21.5722 [-x/(8*x^2-4*x-1) ogf] A174443 30.7211 [-4*(4*x-1)/(8*x^2-1-4*x) lgdogf] A174443 8.78868 [{a(n+2)+4*a(n+1)-8*a(n),a(0)=0,a(1)=1} ogf] A174455 20.9318 [-(-x^3+2*x^2)/(x-1) ogf_with_Euler_transform] A174469 12.1673 [2*x^3*(4-8*x+4*x^2+x^5)/(x^2-x+1)/(x^3+x^2-1)/(3*x^5-2*x^4+x-1) lgdogf] A174469 12.3719 [(3*x^5-2*x^4+x-1)/(x^2-x+1)/(x^3+x^2-1) ogf] A174470 7.23652 [-3*(1+3*x+27*x^3+81*x^4+729*x^6+2187*x^7+6561*x^8)/(-1+3*x)/(9*x^2+3*x+1)/(729*x^6+27*x^3+1) lgdogf] A174474 15.9102 [-3*(-1+x+x^3-5*x^2)/(x-1)/(x+1)/(x^2-4*x+1) lgdogf] A174474 8.04868 [x^2*(x^2-4*x+1)/(x+1)^2/(x-1)^3 ogf] A174500 7.13005 [-2*(1+x-8*x^7+x^9+8*x^2-8*x^3-20*x^4+18*x^5+3*x^8)/(x-1)/(x+1)/(x^4+2*x^3-4*x^2+2*x+1)/(x^4-4*x^2+1) lgdogf] A174500 8.98593 [-(x^4+2*x^3-4*x^2+2*x+1)/(x-1)/(x+1)/(x^4-4*x^2+1) ogf] A174501 5.91705 [-2*(2+x-56*x^4-12*x^3+x^9+6*x^8-12*x^7-4*x^6+38*x^5+20*x^2)/(x-1)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+4*x^3-6*x^2+4*x+1) lgdogf] A174501 9.81473 [-(x^4+4*x^3-6*x^2+4*x+1)/(x-1)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A174502 6.30995 [-2*(3+x-12*x^6+66*x^5+x^9+9*x^8-16*x^7-108*x^4+36*x^2-16*x^3)/(x-1)/(x+1)/(x^4+6*x^3-8*x^2+6*x+1)/(x^4-8*x^2+1) lgdogf] A174502 8.82253 [-(x^4+6*x^3-8*x^2+6*x+1)/(x-1)/(x+1)/(x^4-8*x^2+1) ogf] A174503 5.62482 [-2*(4+x-20*x^7-24*x^6+102*x^5+56*x^2-20*x^3-176*x^4+12*x^8+x^9)/(x-1)/(x+1)/(x^4+8*x^3-10*x^2+8*x+1)/(x^4-10*x^2+1) lgdogf] A174503 7.86714 [-(x^4+8*x^3-10*x^2+8*x+1)/(x-1)/(x+1)/(x^4-10*x^2+1) ogf] A174504 6.65958 [-(x^2-x+1)*(x^6-2*x^5-2*x^4-2*x^3+6*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6-6*x^3+1) ogf] A174505 7.30474 [(x^9-x^7-5*x^6+2*x^5+3*x^4+6*x^3-3*x^2-x-3)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A174506 5.44200 [-(x^6-4*x^5-4*x^4-2*x^3+20*x^2+4*x+1)*(x^2-x+1)/(x-1)/(x^2+x+1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A174507 5.76436 [-(x^2-x+1)*(x^6-6*x^5-6*x^4-2*x^3+42*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^6-38*x^3+1) ogf] A174508 5.78899 [-(x^2-x+1)*(x^6-8*x^5-8*x^4-2*x^3+72*x^2+8*x+1)/(x-1)/(x^2+x+1)/(x^6-66*x^3+1) ogf] A174509 4.88023 [-(x^2-x+1)*(x^6-10*x^5-10*x^4-2*x^3+110*x^2+10*x+1)/(x-1)/(x^2+x+1)/(x^6-102*x^3+1) ogf] A174510 6.83164 [-(x^2-x+1)*(x^6-2*x^5-2*x^4-2*x^3+4*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6-4*x^3+1) ogf] A174515 12.3498 [-(25-306*x+864*x^2)/(6*x-1)/(-1+4*x)/(9*x-1) lgdogf] A174515 4.05074 [(2492605*f(x)+1560384)*(1296*f(x)*x^4-900*f(x)*x^3+228*f(x)*x^2-25*f(x)*x+f(x)-1) ogf] A174515 9.73598 [1/(9*x-1)/(4*x-1)/(6*x-1)^2 ogf] A174522 20.3139 [1/(x-1)/(x^5+x^4-1) ogf] A174522 23.3342 [-(-1-4*x^3+6*x^5)/(x-1)/(x^5+x^4-1) lgdogf] A174529 9.61949 [-(3*x^5+25*x^4-22*x^3-8*x^2-5*x-3)/(x-1)/(x^2+x+1)/(5*x^3-1) ogf] A174532 14.0159 [x^5/(x-1)/(x^5-x-1) ogf] A174532 21.0239 [-x*(-2+6*x^4-5*x^3)/(x-1)/(x^5-x-1) lgdogf] A174542 16.3584 [-2*(-1-3*x-2*x^6+3*x^5+x^7+x^4+2*x^2+3*x^3)/(x-1)/(x^3-x^2+x+1)/(x^4+4*x^2-1) lgdogf] A174542 9.13206 [(x^3-x^2+x+1)/(x-1)/(x^4+4*x^2-1) ogf] A174549 6.59232 [{(4*n^2+22*n+28)*a(n+1)-a(n+2),a(0)=3,a(1)=30} ogf] A174562 12.2687 [(x^3-3*x^2-3*x-2)/(x^4+x^2-1) ogf] A174562 12.4124 [-(-3-10*x+x^6-6*x^5-8*x^3-10*x^4)/(x^3-3*x^2-3*x-2)/(x^4+x^2-1) lgdogf] A174562 7.59493 [-(2*f(x)+9)*(f(x)*x^4+f(x)*x^2-x^3+3*x^2-f(x)+3*x+2) ogf] A174565 14.3716 [-(3*x+1)/(x-1)/(4*x^2+3*x+1) ogf] A174565 16.3364 [-(1-2*x+24*x^3+9*x^2)/(x-1)/(3*x+1)/(4*x^2+3*x+1) lgdogf] A174565 6.80084 [{-a(n+3)-2*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=-3} ogf] A174565 7.11863 [-(f(x)-1)*(4*f(x)*x^3-f(x)*x^2-2*f(x)*x-f(x)+3*x+1) ogf] A174571 7.51129 [-(-1-8*x+3*x^8-16*x^3-3*x^2-2*x^4+8*x^9-5*x^6+16*x^7)/(x-1)/(x+1)/(1+x^2)/(4*x^6+x^5+4*x^4-x^3-4*x^2-x-4) lgdogf] A174571 8.62342 [-x*(4*x^6+x^5+4*x^4-x^3-4*x^2-x-4)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A174577 11.5706 [-x*(-2+7*x^5+10*x^8-8*x^6-3*x)/(x-1)/(x+1)/(x^2+1)/(x^6-x^4+x^3+x^2-1) lgdogf] A174577 14.1698 [1/(x-1)/(x+1)/(x^2+1)/(x^6-x^4+x^3+x^2-1) ogf] A174578 13.6039 [-1/(x^14+x^13-x^10+x^4+x-1) ogf] A174578 13.8074 [-(1-10*x^9+14*x^13+13*x^12+4*x^3)/(x^4-1+x+x^13-x^10+x^14) lgdogf] A174592 4.28328 [-(349444*f(x)-12725)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-2*x^2-f(x)+16*x+2) ogf] A174592 4.64937 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=2,a(1)=46,a(2)=658} ogf] A174592 8.49962 [2*(x^2-8*x-1)/(x-1)/(x^2-14*x+1) ogf] A174592 8.59102 [-(-23+32*x+102*x^2-16*x^3+x^4)/(-1+x)/(x^2-14*x+1)/(x^2-8*x-1) lgdogf] A174595 12.0789 [-x^2*(4*x+1)*(x^2+1)/(x+1)^3/(x-1)^3 ogf] A174595 17.9660 [-4*(1+2*x+8*x^2+x^3+3*x^4)/(x-1)/(4*x+1)/(x+1)/(1+x^2) lgdogf] A174618 10.8838 [-x*(x^3-x^2+1)/(x^4-x^2+1)/(x^4+x^2-1) ogf] A174618 8.64088 [-x*(2-6*x^8+3*x-4*x^2-2*x^3+2*x^4-x^5+8*x^6+5*x^9)/(x^4+x^2-1)/(x^3-x^2+1)/(x^4-x^2+1) lgdogf] A174619 12.9003 [-(x+1)*(x^3-x^2+1)/(x^4-x^2+1)/(x^4+x^2-1) ogf] A174634 13.1884 [1/6*(-1-3*x+((1+3*x)*(1+15*x))^(1/2))/(1+3*x) revogf] A174634 15.6179 [-3*(2+6*x+9*x^2)/(3*x+1)/(9*x^2+3*x-1) lgdogf] A174634 16.2434 [-(3*x+1)/(9*x^2+3*x-1) ogf] A174634 8.12169 [-(13*f(x)+3)*(9*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) ogf] A174634 8.91405 [{a(n+2)-3*a(n+1)-9*a(n),a(0)=1,a(1)=6} ogf] A174642 19.2572 [-(5+2*x^3+3*x^2)/(-1+x)/(x+1)/(x^2-x+1) lgdogf] A174642 9.02487 [-12*x^7*(x+1)*(x^2-x+1)/(x-1)^5 ogf] A174644 4.45225 [4*x^7*(x^9+x^8+7*x^7-6*x^6+5*x^5+10*x^4+x^3+6*x^2+4*x+1)/(x-1)^6 ogf] A174647 10.4349 [-64*x^3*(-1+2*x+2*x^2)/(2*x+1)/(4*x^2-2*x+1)/(8*x^3+4*x^2-2*x+1) lgdogf] A174647 6.75730 [-4*(8*x^3+4*x^2-2*x+1)/(2*x+1)/(4*x^2-2*x+1)^2 ogf] A174650 8.99797 [1/(x-1)/(x+1)/(x^18+x^17+x^13+x^11+x^9+x^7+x^5+x-1) ogf] A174654 3.62923 [(x+1)*(x^3-4*x^2+2*x-1)*(x-1)^2/(x^3-2*x^2+4*x-1)^3 ogf] A174655 10.0019 [-(5+15*x+2*x^5+23*x^2+11*x^3+8*x^4)/(x-1)/(x+1)/(x^5-x^4+3*x^3+2*x^2+2*x+1) lgdogf] A174655 7.57421 [(x^5-x^4+3*x^3+2*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A174679 5.53481 [-x*(9*x^10+4*x^9+25*x^8+x^7+22*x^6+4*x^5+6*x^4+x^3+x^2+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A174685 5.76699 [x*(x^3+435*x^2-169*x-75)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A174686 3.99522 [60*(2*x^6+61*x^5+368*x^4+650*x^3+368*x^2+61*x+2)/(x-1)^10 ogf] A174687 3.77608 [{(-81*n^2-243*n-180)*a(n+1)+(39*n^2+204*n+264)*a(n+2)+(-4*n^2-26*n-42)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A174687 8.56525 [27*f(x)^3*x^2-4*f(x)^3*x-6*f(x)*x+f(x)+8*x-1 ogf] A174709 10.1961 [-2*(1+x+x^2+x^3+x^4+4*x^5)/(-1+x)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A174709 10.4159 [-x^6/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A174723 11.1407 [(2*x^2+x+1)/(x-1)^4 ogf] A174723 23.5580 [-(5+7*x+4*x^2)/(x-1)/(2*x^2+x+1) lgdogf] A174723 4.22368 [{(-n-4)*a(n+4)+5*a(n+3)+(5-n)*a(n+2)+(6+2*n)*a(n+1),a(0)=1,a(1)=5,a(2)=16,a(3)=38} ogf] A174723 5.53028 [(165120*f(x)+245851)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-x-1) ogf] A174724 13.3444 [-(x^9+x^2+x-4)/(x-1)^2 ogf] A174724 20.4438 [(7-3*x-9*x^8+7*x^9)/(x-1)/(x^9+x^2+x-4) lgdogf] A174737 10.655 [f(x)*x^2-f(x)*x+f(x)+3*x-2 ogf] A174737 14.9170 [-(3*x-2)/(x^2-x+1) ogf] A174737 22.2389 [-1/2*(-x-2+(4-8*x-3*x^2)^(1/2))/(x+3) revogf] A174737 24.9345 [-(-1-4*x+3*x^2)/(3*x-2)/(x^2-x+1) lgdogf] A174737 8.18613 [{-a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=-1} ogf] A174738 10.8851 [-(2+2*x+2*x^2+2*x^3+2*x^4+2*x^5+9*x^6)/(-1+x)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A174738 13.3423 [-x^7/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A174745 11.0293 [12*x/(x^2-110*x+1) ogf] A174745 18.0615 [-2*(-55+x)/(x^2+1-110*x) lgdogf] A174745 5.25204 [{a(n+2)-110*a(n+1)+a(n),a(0)=0,a(1)=12} ogf] A174745 7.11567 [-f(x)*x^2+110*f(x)*x-f(x)+12*x ogf] A174745 8.49954 [-(-55*x-6+2*(28*x+3)^(1/2)*(1+9*x)^(1/2)*3^(1/2))/x revogf] A174746 3.74439 [-(2310399*f(x)-1155199)*(f(x)*x^2-3040*f(x)*x+f(x)+1520*x-1) ogf] A174746 8.89637 [-2*(760-x+760*x^2)/(1520*x-1)/(x^2-3040*x+1) lgdogf] A174747 10.0995 [-(73*x-1)/(x^2-146*x+1) ogf] A174747 12.1671 [-(73-2*x+73*x^2)/(73*x-1)/(x^2-146*x+1) lgdogf] A174747 4.89672 [-(10656*f(x)-5327)*(f(x)*x^2-146*f(x)*x+f(x)+73*x-1) ogf] A174747 5.70325 [{a(n+2)-146*a(n+1)+a(n),a(0)=1,a(1)=73} ogf] A174748 12.9986 [-1/2*(-1-46*x+(1+2112*x^2)^(1/2))/(23+x) revogf] A174748 13.0961 [-(23*x-1)/(x^2-46*x+1) ogf] A174748 13.6828 [-(23-2*x+23*x^2)/(23*x-1)/(x^2-46*x+1) lgdogf] A174748 6.41161 [-(1056*f(x)-527)*(f(x)*x^2-46*f(x)*x+f(x)+23*x-1) ogf] A174748 7.32756 [{a(n+2)-46*a(n+1)+a(n),a(0)=1,a(1)=23} ogf] A174749 10.5562 [-(35*x-1)/(x^2-70*x+1) ogf] A174749 5.11487 [-(2448*f(x)-1223)*(f(x)*x^2-70*f(x)*x+f(x)+35*x-1) ogf] A174749 5.90646 [{a(n+2)-70*a(n+1)+a(n),a(0)=1,a(1)=35} ogf] A174750 10.7247 [-(37*x-1)/(x^2-74*x+1) ogf] A174750 12.9870 [-(37-2*x+37*x^2)/(37*x-1)/(x^2-74*x+1) lgdogf] A174750 5.19649 [-(2736*f(x)-1367)*(f(x)*x^2-74*f(x)*x+f(x)+37*x-1) ogf] A174750 6.00071 [{a(n+2)-74*a(n+1)+a(n),a(0)=1,a(1)=37} ogf] A174751 11.5236 [-(25*x-1)/(x^2-50*x+1) ogf] A174751 13.2694 [-1/2*(-1-50*x+(1+2496*x^2)^(1/2))/(25+x) revogf] A174751 13.9678 [-(25-2*x+25*x^2)/(25*x-1)/(x^2-50*x+1) lgdogf] A174751 5.64177 [-(1248*f(x)-623)*(f(x)*x^2-50*f(x)*x+f(x)+25*x-1) ogf] A174751 6.44774 [{a(n+2)-50*a(n+1)+a(n),a(0)=1,a(1)=25} ogf] A174752 3.83047 [-(8396800*f(x)-4198399)*(f(x)*x^2-4098*f(x)*x+f(x)+2049*x-1) ogf] A174752 8.70980 [-(2049-2*x+2049*x^2)/(2049*x-1)/(x^2-4098*x+1) lgdogf] A174753 3.11273 [-(12124323*f(x)-6062161)*(f(x)*x^2-6964*f(x)*x+f(x)+3482*x-1) ogf] A174753 7.11708 [-2*(1741-x+1741*x^2)/(3482*x-1)/(x^2-6964*x+1) lgdogf] A174755 11.4073 [-2*(24-x+24*x^2)/(48*x-1)/(x^2-96*x+1) lgdogf] A174755 4.5746 [-(2303*f(x)-1151)*(f(x)*x^2-96*f(x)*x+f(x)+48*x-1) ogf] A174755 5.28257 [{a(n+2)-96*a(n+1)+a(n),a(0)=1,a(1)=48} ogf] A174755 9.44119 [-(48*x-1)/(x^2-96*x+1) ogf] A174756 11.1148 [-2*(25-x+25*x^2)/(50*x-1)/(x^2-100*x+1) lgdogf] A174756 4.52792 [-(2499*f(x)-1249)*(f(x)*x^2-100*f(x)*x+f(x)+50*x-1) ogf] A174756 5.22042 [{a(n+2)-100*a(n+1)+a(n),a(0)=1,a(1)=50} ogf] A174756 9.24450 [-(50*x-1)/(x^2-100*x+1) ogf] A174757 5.89175 [-1/2*(-1-132498*x+(1+17555720000*x^2)^(1/2))/(66249+x) revogf] A174758 10.3219 [-(89-2*x+89*x^2)/(89*x-1)/(x^2-178*x+1) lgdogf] A174758 4.16661 [-(15840*f(x)-7919)*(f(x)*x^2-178*f(x)*x+f(x)+89*x-1) ogf] A174758 4.85288 [{a(n+2)-178*a(n+1)+a(n),a(0)=1,a(1)=89} ogf] A174758 8.59365 [-(89*x-1)/(x^2-178*x+1) ogf] A174759 10.5904 [-(151-2*x+151*x^2)/(151*x-1)/(x^2-302*x+1) lgdogf] A174759 4.50236 [-(45600*f(x)-22799)*(f(x)*x^2-302*f(x)*x+f(x)+151*x-1) ogf] A174759 5.28766 [{a(n+2)-302*a(n+1)+a(n),a(0)=1,a(1)=151} ogf] A174759 9.28039 [-(151*x-1)/(x^2-302*x+1) ogf] A174761 4.1502 [-(280899*f(x)-140449)*(f(x)*x^2-1060*f(x)*x+f(x)+530*x-1) ogf] A174761 4.96117 [{a(n+2)-1060*a(n+1)+a(n),a(0)=1,a(1)=530} ogf] A174761 8.63244 [-(530*x-1)/(x^2-1060*x+1) ogf] A174761 9.17457 [-1/2*(-1-1060*x+(1+1123596*x^2)^(1/2))/(x+530) revogf] A174763 11.7067 [-(63-2*x+63*x^2)/(63*x-1)/(x^2-126*x+1) lgdogf] A174763 4.76348 [-(7936*f(x)-3967)*(f(x)*x^2-126*f(x)*x+f(x)+63*x-1) ogf] A174763 5.49201 [{a(n+2)-126*a(n+1)+a(n),a(0)=1,a(1)=63} ogf] A174763 9.72544 [-(63*x-1)/(x^2-126*x+1) ogf] A174765 10.9957 [39*x/(x^2-340*x+1) ogf] A174765 17.2950 [-2*(-170+x)/(x^2+1-340*x) lgdogf] A174765 5.23606 [{a(n+2)-340*a(n+1)+a(n),a(0)=0,a(1)=39} ogf] A174765 6.45335 [-1/2*(-39-340*x+(114*x+13)^(1/2)*(26*x+3)^(1/2)*3^(1/2)*13^(1/2))/x revogf] A174765 7.09401 [-f(x)*x^2+340*f(x)*x-f(x)+39*x ogf] A174766 11.2442 [42*x/(x^2-394*x+1) ogf] A174766 17.6926 [-2*(-197+x)/(x^2+1-394*x) lgdogf] A174766 5.35439 [{a(n+2)-394*a(n+1)+a(n),a(0)=0,a(1)=42} ogf] A174766 7.25432 [-f(x)*x^2+394*f(x)*x-f(x)+42*x ogf] A174766 7.37190 [-(-21-197*x+(28*x+3)^(1/2)*(66*x+7)^(1/2)*3^(1/2)*7^(1/2))/x revogf] A174767 13.3977 [5*x/(x^2-48*x+1) ogf] A174767 21.7821 [-2*(-24+x)/(x^2+1-48*x) lgdogf] A174767 6.20870 [{a(n+2)-48*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A174767 8.48522 [-f(x)*x^2+48*f(x)*x-f(x)+5*x ogf] A174767 9.27758 [-1/2*(-48*x-5+(46*x+5)^(1/2)*(1+10*x)^(1/2)*5^(1/2))/x revogf] A174768 11.5823 [-f(x)*x^2+102*f(x)*x-f(x)+10*x ogf] A174768 17.9525 [10*x/(x^2-102*x+1) ogf] A174768 8.54882 [{a(n+2)-102*a(n+1)+a(n),a(0)=0,a(1)=10} ogf] A174769 3.34532 [-(192119200*f(x)-96059599)*(f(x)*x^2-19602*f(x)*x+f(x)+9801*x-1) ogf] A174769 7.71364 [-(9801-2*x+9801*x^2)/(9801*x-1)/(x^2-19602*x+1) lgdogf] A174770 12.5555 [-2*(-9801+x)/(x^2+1-19602*x) lgdogf] A174770 5.02222 [-(-9801*x-910+2*(377*x+35)^(1/2)*(140*x+13)^(1/2)*35^(1/2)*13^(1/2))/x revogf] A174770 5.42648 [-f(x)*x^2+19602*f(x)*x-f(x)+1820*x ogf] A174771 13.7303 [-2*(-1520+x)/(x^2+1-3040*x) lgdogf] A174771 5.37271 [-1/2*(-273-3040*x+(434*x+39)^(1/2)*(78*x+7)^(1/2)*39^(1/2)*7^(1/2))/x revogf] A174771 5.90037 [-f(x)*x^2+3040*f(x)*x-f(x)+273*x ogf] A174772 11.144 [-f(x)*x^2+46*f(x)*x-f(x)+4*x ogf] A174772 12.9808 [-(-2-23*x+2*(12*x+1)^(1/2)*(1+11*x)^(1/2))/x revogf] A174772 17.5957 [4*x/(x^2-46*x+1) ogf] A174772 24.8328 [-2*(-23+x)/(x^2+1-46*x) lgdogf] A174772 8.15412 [{a(n+2)-46*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A174773 12.3619 [6*x/(x^2-70*x+1) ogf] A174773 20.0798 [-2*(-35+x)/(x^2+1-70*x) lgdogf] A174773 5.72870 [{a(n+2)-70*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A174773 7.8292 [-f(x)*x^2+70*f(x)*x-f(x)+6*x ogf] A174773 9.23671 [-(-3-35*x+(12*x+1)^(1/2)*(34*x+3)^(1/2)*3^(1/2))/x revogf] A174775 11.4140 [12*x/(x^2-146*x+1) ogf] A174775 19.5159 [-2*(x-73)/(x^2+1-146*x) lgdogf] A174775 5.43525 [{a(n+2)-146*a(n+1)+a(n),a(0)=0,a(1)=12} ogf] A174775 7.36389 [-f(x)*x^2+146*f(x)*x-f(x)+12*x ogf] A174775 8.63204 [-(-73*x-6+2*(12*x+1)^(1/2)*(37*x+3)^(1/2)*3^(1/2))/x revogf] A174776 11.3246 [-(-2-25*x+2*(12*x+1)^(1/2)*(1+13*x)^(1/2))/x revogf] A174776 13.3264 [4*x/(x^2-50*x+1) ogf] A174776 6.17567 [{a(n+2)-50*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A174776 8.44009 [-f(x)*x^2+50*f(x)*x-f(x)+4*x ogf] A174777 12.4314 [6*x/(x^2-74*x+1) ogf] A174777 5.76088 [{a(n+2)-74*a(n+1)+a(n),a(0)=0,a(1)=6} ogf] A174777 7.87319 [-f(x)*x^2+74*f(x)*x-f(x)+6*x ogf] A174777 9.28949 [-(-37*x-3+(12*x+1)^(1/2)*(38*x+3)^(1/2)*3^(1/2))/x revogf] A174778 14.2419 [-2*(-2049+x)/(x^2+1-4098*x) lgdogf] A174778 6.11624 [-f(x)*x^2+4098*f(x)*x-f(x)+320*x ogf] A174778 6.62987 [-(-160-2049*x+8*(205*x+16)^(1/2)*(64*x+5)^(1/2)*5^(1/2))/x revogf] A174779 13.4915 [-(-1-13*x+(12*x+1)^(1/2)*(1+14*x)^(1/2))/x revogf] A174779 15.1353 [2*x/(x^2-26*x+1) ogf] A174779 24.6366 [-2*(-13+x)/(x^2+1-26*x) lgdogf] A174779 7.01393 [{a(n+2)-26*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A174779 9.5857 [-f(x)*x^2+26*f(x)*x-f(x)+2*x ogf] A174780 12.5033 [531*x/(x^2-6964*x+1) ogf] A174780 19.1832 [-2*(-3482+x)/(x^2+1-6964*x) lgdogf] A174780 6.10628 [{a(n+2)-6964*a(n+1)+a(n),a(0)=0,a(1)=531} ogf] A174780 8.09291 [-1/2*(-6964*x-531+3*(118*x+9)^(1/2)*(774*x+59)^(1/2)*59^(1/2))/x revogf] A174780 8.2053 [-f(x)*x^2+6964*f(x)*x-f(x)+531*x ogf] A174781 4.47807 [(20*x^16+12*x^12+4*x^11+2*x^10+x^9+x^8+2*x^4+4*x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^8+1)/(x-1)^2 ogf] A174784 11.3881 [x*(x^4+x^3-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A174784 11.5522 [-(x-1)*(2*x^8+5*x^7+5*x^6+6*x^4+6*x^3+2*x^2-x-1)/(x^4+x^3-x+1)/(x^2+1)/(x^4-x^2+1) lgdogf] A174785 5.77640 [-(x^5+x^4-x^3+x^2-2*x-1)/(x+1)^2/(x^2-x+1)^2 ogf] A174785 6.79576 [-(2-2*x+2*x^6-3*x^5+x^7-x^4-14*x^3-3*x^2)/(x+1)/(x^2-x+1)/(x^5+x^4-x^3+x^2-2*x-1) lgdogf] A174792 10.3501 [-x*(x-1)*(x+1)/(x^3+7*x^2-x+1) ogf] A174792 12.9774 [-(1-16*x-2*x^2+x^4)/(-1+x)/(x+1)/(x^3+7*x^2-x+1) lgdogf] A174792 4.50347 [{a(n+4)-a(n+3)+7*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=-7} ogf] A174792 7.52386 [f(x)*(f(x)*x^3+7*f(x)*x^2+x^3-f(x)*x+f(x)-x) ogf] A174794 17.6179 [-(5+9*x+15*x^2+3*x^3)/(x-1)/(x+1)/(3*x^2+1) lgdogf] A174794 6.21491 [-f(x)*(f(x)*x^4-4*f(x)*x^3-3*x^4+6*f(x)*x^2-3*x^3-4*f(x)*x-x^2+f(x)-x) ogf] A174794 9.49023 [x*(x+1)*(3*x^2+1)/(x-1)^4 ogf] A174808 12.7673 [1/2/x*(-1-x-x^2+(1+2*x+7*x^2-2*x^3+x^4)^(1/2)) revogf] A174808 6.31223 [f(x)^2*x^2+f(x)^2*x+f(x)*x^2+f(x)*x-f(x)+1 ogf] A174810 11.6703 [-1/2*(-1+x-2*x^2+(1-2*x+x^2+4*x^3+4*x^4)^(1/2))/x revogf] A174810 6.14955 [2*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2-f(x)*x-f(x)+1 ogf] A174814 12.3976 [2*x*(3*x+2)/(x-1)^4 ogf] A174814 34.5523 [-(11+9*x)/(3*x+2)/(x-1) lgdogf] A174814 5.33672 [{(4+2*n)*a(n+3)+(-10+n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=4,a(2)=22} ogf] A174814 5.79745 [-(117875*f(x)+477459)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-4*x) ogf] A174836 5.01703 [-2*(2+4*x+2*x^5-5*x^4+2*x^3-7*x^2)/(-1+x)/(2*x-1)/(x+1)/(2*x^3-3*x^2-1) lgdogf] A174836 5.04640 [(2*x^3-3*x^2-1)/(x-1)/(x+1)/(2*x-1)^2 ogf] A174836 6.07759 [(556*f(x)-1033)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2-2*x^3+4*f(x)*x+3*x^2-f(x)+1) ogf] A174850 4.84485 [-5*x*(9*x^10+7*x^9+57*x^8+6*x^7+118*x^6+30*x^5+102*x^4+4*x^3+33*x^2+3*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A174851 5.82597 [-f(x)*x^2+48670*f(x)*x-f(x)+3588*x ogf] A174853 10.7998 [7*x/(x^2-96*x+1) ogf] A174853 17.5086 [-2*(-48+x)/(x^2+1-96*x) lgdogf] A174853 5.00478 [{a(n+2)-96*a(n+1)+a(n),a(0)=0,a(1)=7} ogf] A174853 6.83987 [-f(x)*x^2+96*f(x)*x-f(x)+7*x ogf] A174853 7.45735 [-1/2*(-96*x-7+(94*x+7)^(1/2)*(1+14*x)^(1/2)*7^(1/2))/x revogf] A174855 10.5229 [7*x/(x^2-100*x+1) ogf] A174855 16.7790 [-2*(-50+x)/(x^2+1-100*x) lgdogf] A174855 4.94448 [{a(n+2)-100*a(n+1)+a(n),a(0)=0,a(1)=7} ogf] A174855 6.72774 [-f(x)*x^2+100*f(x)*x-f(x)+7*x ogf] A174855 7.19102 [-1/2*(-100*x-7+(102*x+7)^(1/2)*(1+14*x)^(1/2)*7^(1/2))/x revogf] A174871 9.24528 [(4*x^6+4*x^5+x^4+3*x^3+x^2+4*x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A174882 10.3795 [-(2*x-1)*(4*x^2+3*x+1)/(16*x^4+1) ogf] A174882 6.68902 [-(40*f(x)-21)*(16*f(x)*x^4+8*x^3+2*x^2+f(x)-x-1) ogf] A174882 8.34840 [-(1-4*x-24*x^2-64*x^3-48*x^4+64*x^5+128*x^6)/(2*x-1)/(4*x^2+3*x+1)/(16*x^4+1) lgdogf] A174887 7.02596 [(3-x+44*x^21-86*x^22+42*x^23-87*x^15+42*x^16+45*x^14+21*x^9+24*x^7-45*x^8)/(x-1)/(2*x^23-2*x^22+3*x^16-3*x^15+3*x^9-3*x^8+x-2) lgdogf] A174887 9.30286 [-(2*x^23-2*x^22+3*x^16-3*x^15+3*x^9-3*x^8+x-2)/(x-1)^2 ogf] A174902 11.8660 [-(4*x^2-3*x+1)/(x-1)^3 ogf] A174902 22.2587 [-2*x*(1+2*x)/(x-1)/(4*x^2-3*x+1) lgdogf] A174902 6.40556 [(44*f(x)-43)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A174902 6.52097 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A174908 10.6289 [-(2*x^17-2*x^16+2*x^9-2*x^8+x-2)/(x-1)^2 ogf] A174908 9.35005 [(3-x+32*x^15-62*x^16+30*x^17+14*x^9+16*x^7-30*x^8)/(x-1)/(2*x^17-2*x^16+2*x^9-2*x^8+x-2) lgdogf] A174927 13.2925 [(f(x)+2047)*(f(x)*x^2-f(x)+64*x+1) ogf] A174927 14.5195 [{a(n+2)-a(n),a(0)=1,a(1)=64} ogf] A174927 22.4706 [-(64*x+1)/(x-1)/(x+1) ogf] A174927 25.0281 [1/2/(64+x)*(-1+(1+256*x+4*x^2)^(1/2)) revogf] A174927 25.0281 [-2*(32+x+32*x^2)/(x-1)/(64*x+1)/(x+1) lgdogf] A174928 14.9113 [(64*x+1)/(x-1)^2/(x+1) ogf] A174928 20.2494 [-(65+67*x+128*x^2)/(x-1)/(64*x+1)/(x+1) lgdogf] A174928 6.82381 [(3047785*f(x)+199703471)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-64*x-1) ogf] A174928 7.06325 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=65,a(2)=66} ogf] A174929 14.2773 [-(64*x+1)/(x+1)/(x-1)^3 ogf] A174929 18.9055 [-6*(11+22*x+32*x^2)/(x-1)/(64*x+1)/(x+1) lgdogf] A174929 6.02325 [(214182103525*f(x)-13958653924199)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+64*x+1) ogf] A174944 3.23876 [-(1000000*x^5-1000000*x^4+1000*x^2-910*x-99)/(10*x-1)/(x-1) ogf] A174959 6.37030 [-x^3*(2*x-1)/(x-1)/(2*x^2-1)/(x^2+x-1) ogf] A174959 6.61548 [-x*(-4+16*x^4-10*x^3-20*x^2+19*x)/(-1+x)/(2*x-1)/(2*x^2-1)/(x^2+x-1) lgdogf] A174959 7.42714 [-2*f(x)*x^5+5*f(x)*x^3-2*x^4-2*f(x)*x^2+x^3-2*f(x)*x+f(x) ogf] A174971 115.755 [-1/(x+1) lgdogf] A174971 115.755 [-x/(x-3) revogf] A174971 14.5706 [{-a(n+1)-a(n),a(0)=3} ogf] A174971 18.4797 [f(x)*x+f(x)-3 ogf] A174971 30.3068 [3/(x+1) ogf] A174971 35.9820 [[-1+x] ogf_with_Euler_transform] A174983 6.26373 [-f(x)*x^2+132498*f(x)*x-f(x)+9100*x ogf] A174984 8.81934 [-(4*x^9+4*x^8+4*x^7+2*x^6+4*x^5+3*x^4+x^3+4*x^2+5*x+4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A174988 11.0403 [-x*(3*x+1)*(x-1)/(9*x^4-8*x^2+1) ogf] A174988 6.73459 [(124*f(x)+57)*(9*f(x)*x^4-8*f(x)*x^2+3*x^3-2*x^2+f(x)-x) ogf] A174988 9.90087 [-2*(1+5*x+27*x^5-27*x^4+8*x^2-18*x^3)/(x-1)/(3*x+1)/(9*x^4-8*x^2+1) lgdogf] A174994 11.8440 [-16*(x^4+6*x^2+1)/(x+1)^2/(x-1)^3 ogf] A174994 17.4895 [-(1+17*x+x^5+6*x^2+22*x^3+x^4)/(x-1)/(x+1)/(x^4+6*x^2+1) lgdogf] A175005 15.7342 [-x/(2*x^3-3*x^2+4*x-1) ogf] A175005 17.1711 [-2*(2-3*x+3*x^2)/(-3*x^2-1+4*x+2*x^3) lgdogf] A175005 5.81175 [{a(n+3)-4*a(n+2)+3*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A175005 6.26314 [-(4*f(x)+1)*(2*f(x)*x^3-3*f(x)*x^2+4*f(x)*x-f(x)+x) ogf] A175014 11.7988 [12*x/(x^2-178*x+1) ogf] A175014 19.3440 [-2*(-89+x)/(x^2+1-178*x) lgdogf] A175014 5.61846 [{a(n+2)-178*a(n+1)+a(n),a(0)=0,a(1)=12} ogf] A175014 7.61211 [-f(x)*x^2+178*f(x)*x-f(x)+12*x ogf] A175014 8.92800 [-(-89*x-6+2*(1+15*x)^(1/2)*(44*x+3)^(1/2)*3^(1/2))/x revogf] A175015 10.6851 [20*x/(x^2-302*x+1) ogf] A175015 16.7980 [-2*(-151+x)/(x^2+1-302*x) lgdogf] A175015 5.08815 [{a(n+2)-302*a(n+1)+a(n),a(0)=0,a(1)=20} ogf] A175015 6.89361 [-f(x)*x^2+302*f(x)*x-f(x)+20*x ogf] A175015 7.77685 [-(-10-151*x+2*(76*x+5)^(1/2)*(1+15*x)^(1/2)*5^(1/2))/x revogf] A175016 5.7261 [-f(x)*x^2+39206*f(x)*x-f(x)+2574*x ogf] A175033 4.12139 [(9248*f(x)-8783)*(f(x)*x^4-6*f(x)*x^2+x^3-x^2+f(x)-15*x-9) ogf] A175033 6.74409 [-(x+3)*(x^2-4*x-3)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A175049 10.0595 [69*x/(x^2-1060*x+1) ogf] A175049 15.5863 [-2*(-530+x)/(x^2+1-1060*x) lgdogf] A175049 4.85222 [{a(n+2)-1060*a(n+1)+a(n),a(0)=0,a(1)=69} ogf] A175049 5.95949 [-1/2*(-1060*x-69+(354*x+23)^(1/2)*(46*x+3)^(1/2)*3^(1/2)*23^(1/2))/x revogf] A175049 6.54663 [-f(x)*x^2+1060*f(x)*x-f(x)+69*x ogf] A175109 7.54032 [(x^2+6*x+1)*(x^2+4*x+1)/(x+1)/(x-1)^4 ogf] A175109 9.71968 [-(13+87*x+x^5+23*x^4+148*x^2+112*x^3)/(x-1)/(x+1)/(x^2+6*x+1)/(x^2+4*x+1) lgdogf] A175110 10.4693 [-(41+380*x+x^4+462*x^2+76*x^3)/(x-1)/(x^4+36*x^3+118*x^2+36*x+1) lgdogf] A175110 6.90546 [-(x^4+36*x^3+118*x^2+36*x+1)/(x-1)^5 ogf] A175111 4.86319 [(x^6+116*x^5+967*x^4+1672*x^3+967*x^2+116*x+1)/(x+1)/(x-1)^6 ogf] A175112 5.54800 [-(x^6+116*x^5+967*x^4+1672*x^3+967*x^2+116*x+1)/(x+1)/(x-1)^5 ogf] A175112 5.72435 [-4*(30+601*x+30*x^6+601*x^5+2366*x^4+2366*x^2+3606*x^3)/(x-1)/(x+1)/(x^6+116*x^5+967*x^4+1672*x^3+967*x^2+116*x+1) lgdogf] A175113 4.40722 [-(x^6+358*x^5+5279*x^4+11764*x^3+5279*x^2+358*x+1)/(x-1)^7 ogf] A175113 5.51510 [-(365+12706*x+x^6+722*x^5+17627*x^4+61687*x^2+68172*x^3)/(x-1)/(x^6+358*x^5+5279*x^4+11764*x^3+5279*x^2+358*x+1) lgdogf] A175114 4.83822 [(x^6+358*x^5+5279*x^4+11764*x^3+5279*x^2+358*x+1)/(x-1)^6 ogf] A175114 6.23147 [-4*(x+1)*(91*x^4+2996*x^3+11106*x^2+2996*x+91)/(x-1)/(x^6+358*x^5+5279*x^4+11764*x^3+5279*x^2+358*x+1) lgdogf] A175161 10.6154 [-8*(3*x-2)/(2*x-1)/(x-1) ogf] A175161 13.1365 [-(3-8*x+6*x^2)/(-1+x)/(2*x-1)/(3*x-2) lgdogf] A175161 5.46125 [1/2*ln(x+12)-1/2*ln((x+16)^(1/2)+2)+1/2*ln((x+16)^(1/2)-2)-1/2*ln(12)+1/2*ln(6)-1/2*ln(2) revegf] A175161 5.93960 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=16,a(1)=24} ogf] A175161 8.60844 [-(7*f(x)+212)*(2*f(x)*x^2-3*f(x)*x+f(x)+24*x-16) ogf] A175162 11.0949 [-16*(3*x-2)/(2*x-1)/(x-1) ogf] A175162 13.7455 [-(3-8*x+6*x^2)/(-1+x)/(2*x-1)/(3*x-2) lgdogf] A175162 5.60707 [-(7*f(x)+424)*(2*f(x)*x^2-3*f(x)*x+f(x)+48*x-32) ogf] A175162 6.20785 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=32,a(1)=48} ogf] A175162 8.20295 [1/2*ln(x+24)-arctanh(1/4*(2*x+64)^(1/2))-1/2*ln(24)+arctanh(2) revegf] A175163 11.5743 [-32*(3*x-2)/(2*x-1)/(x-1) ogf] A175163 14.7532 [-(3-8*x+6*x^2)/(x-1)/(2*x-1)/(3*x-2) lgdogf] A175163 5.84935 [-(7*f(x)+848)*(2*f(x)*x^2-3*f(x)*x+f(x)+96*x-64) ogf] A175163 5.90128 [1/2*ln(x+48)+1/2*ln((x+64)^(1/2)-4)-1/2*ln((x+64)^(1/2)+4)-1/2*ln(48)-1/2*ln(4)+1/2*ln(12) revegf] A175163 6.47608 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=64,a(1)=96} ogf] A175164 13.5532 [16*x/(2*x-1)/(x-1) ogf] A175164 13.6585 [-1/4*(-16-3*x+(256+96*x+x^2)^(1/2))/x revogf] A175164 21.0568 [-(-3+4*x)/(2*x-1)/(-1+x) lgdogf] A175164 6.28074 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=16} ogf] A175164 8.58367 [-2*f(x)*x^2+3*f(x)*x-f(x)+16*x ogf] A175165 13.3707 [-1/4*(-32-3*x+(1024+192*x+x^2)^(1/2))/x revogf] A175165 13.9767 [32*x/(2*x-1)/(x-1) ogf] A175165 21.7274 [-(-3+4*x)/(2*x-1)/(-1+x) lgdogf] A175165 6.47701 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=32} ogf] A175165 8.85191 [-2*f(x)*x^2+3*f(x)*x-f(x)+32*x ogf] A175166 14.0310 [-1/4*(-64-3*x+(4096+384*x+x^2)^(1/2))/x revogf] A175166 14.6544 [64*x/(2*x-1)/(x-1) ogf] A175166 23.7917 [-(-3+4*x)/(2*x-1)/(x-1) lgdogf] A175166 6.79105 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=64} ogf] A175166 9.28109 [-2*f(x)*x^2+3*f(x)*x-f(x)+64*x ogf] A175237 10.9281 [6*(20*x+1)/(10*x-1)/(x-1) ogf] A175237 11.3944 [-1/20*(-6-11*x+3*(4+68*x+9*x^2)^(1/2))/(-12+x) revogf] A175237 12.1894 [-(-31+20*x+200*x^2)/(x-1)/(1+20*x)/(10*x-1) lgdogf] A175237 5.69657 [(107*f(x)+1280)*(10*f(x)*x^2-11*f(x)*x+f(x)-120*x-6) ogf] A175237 6.22648 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=6,a(1)=186} ogf] A175287 10.7276 [x*(x^2-x+1)/(x+1)/(x-1)^4 ogf] A175287 21.4285 [-(2+4*x+3*x^3-x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A175287 26.1987 [-x^5+x^2+2*x+2 ogf_with_Euler_transform] A175307 10.2731 [(x^40-x^34-x^5-3*x^4-x^3-x^2-x-2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A175322 7.59162 [2*(x+3)*(x-2)/(x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A175360 10.6010 [-(x^3+6*x^2-4*x+11)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A175361 10.4629 [-(x^3+7*x^2-5*x+13)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A175373 12.7126 [-(2*x^16+2*x+1)^2/(x-1) ogf] A175373 19.9564 [(-5+2*x+62*x^16-64*x^15)/(x-1)/(2*x^16+2*x+1) lgdogf] A175376 19.0014 [(-7+4*x+94*x^16-96*x^15)/(x-1)/(2*x^16+2*x+1) lgdogf] A175378 7.21937 [-(-3+8*x-3*x^2-12*x^3+18*x^4+12*x^5-38*x^6+20*x^8)/(x-1)/(x+1)/(2*x^2-1)/(x^2+x-1)/(2*x^3-2*x^2+2*x-1) lgdogf] A175378 8.66325 [x^4*(2*x^2-1)/(x-1)/(x+1)/(x^2+x-1)/(2*x^3-2*x^2+2*x-1) ogf] A175395 13.0812 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A175395 13.5702 [(f(x)+2)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x) ogf] A175395 25.4739 [-2*x*(x-1)/(x+1)/(x^2-3*x+1) ogf] A175395 32.7469 [-(1+4*x+2*x^3-5*x^2)/(x-1)/(x+1)/(x^2-3*x+1) lgdogf] A175408 9.35182 [-(3*x^9+5*x^8+4*x^7+4*x^6+5*x^5+3*x^4+6*x^3+2*x^2+7*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A175410 4.43090 [-12*(x^2-44*x+11)/(x-1)/(x^2-14*x+1)/(x^2-194*x+1) ogf] A175416 5.69680 [-(x^27+18*x^26-10*x^25-8*x^24-x^23+x^9+2*x^8-2*x^7-x^5+x^3-x^2-1)/(x-1)^2 ogf] A175430 5.10580 [{(n^2+6*n+8)*a(n+1)-a(n+2),a(0)=2,a(1)=6} ogf] A175458 5.11365 [x*(42*x^22-84*x^21+42*x^20+36*x^19-72*x^18+36*x^17+18*x^10-36*x^9+18*x^8+8*x^5-16*x^4+8*x^3-1)/(x-1)^3 ogf] A175558 19.8580 [{a(n+1)-167*a(n),a(0)=1} ogf] A175558 24.9379 [-167*f(x)*x+f(x)-1 ogf] A175558 46.6230 [-1/(167*x-1) ogf] A175558 62.3980 [1/167*ln(1+167*x) revegf] A175558 70.7177 [-167/(-1+167*x) lgdogf] A175564 16.7809 [2*(1+14*x+1680*x^3+234*x^2)/(14*x^2+1+2*x+840*x^4+156*x^3) lgdogf] A175564 5.65925 [{-a(n+5),a(0)=1,a(1)=2,a(2)=14,a(3)=156,a(4)=840} ogf] A175564 5.97365 [(8360484*f(x)-5378729)*(-840*x^4-156*x^3-14*x^2+f(x)-2*x-1) ogf] A175601 10.9197 [-1/20*(-7-11*x+(49+2394*x+81*x^2)^(1/2))/(-56+x) revogf] A175601 10.9281 [7*(80*x+1)/(10*x-1)/(x-1) ogf] A175601 12.1894 [-(20*x+7)*(40*x-13)/(x-1)/(80*x+1)/(10*x-1) lgdogf] A175601 5.6366 [(981*f(x)+51100)*(10*f(x)*x^2-11*f(x)*x+f(x)-560*x-7) ogf] A175601 6.22648 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=7,a(1)=637} ogf] A175602 10.3329 [-1/20*(-56-11*x+(3136+1872*x+81*x^2)^(1/2))/(-16+x) revogf] A175602 10.7662 [8*(20*x+7)/(10*x-1)/(x-1) ogf] A175602 11.9768 [-(-97+140*x+200*x^2)/(x-1)/(20*x+7)/(10*x-1) lgdogf] A175602 5.6074 [(927*f(x)+23360)*(10*f(x)*x^2-11*f(x)*x+f(x)-160*x-56) ogf] A175602 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=56,a(1)=776} ogf] A175603 10.3329 [-1/20*(-40-11*x+(1600+2160*x+81*x^2)^(1/2))/(-32+x) revogf] A175603 10.7662 [40*(8*x+1)/(10*x-1)/(x-1) ogf] A175603 12.8531 [-(-19+20*x+80*x^2)/(x-1)/(8*x+1)/(10*x-1) lgdogf] A175603 5.66643 [(189*f(x)+6880)*(10*f(x)*x^2-11*f(x)*x+f(x)-320*x-40) ogf] A175603 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=40,a(1)=760} ogf] A175604 10.7546 [-1/20*(-24-11*x+3*(64+272*x+9*x^2)^(1/2))/(-48+x) revogf] A175604 10.7662 [24*(20*x+1)/(10*x-1)/(x-1) ogf] A175604 12.2553 [-(-31+20*x+200*x^2)/(x-1)/(20*x+1)/(10*x-1) lgdogf] A175604 5.66643 [(107*f(x)+5120)*(10*f(x)*x^2-11*f(x)*x+f(x)-480*x-24) ogf] A175604 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=24,a(1)=744} ogf] A175629 6.97532 [x*(x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A175629 9.62242 [-(-1+14*x^6+14*x^5+2*x^9+7*x^8+8*x^7+7*x^4-2*x^2)/(x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A175630 8.33900 [-x*(14*x^15-16*x^13+7*x^8-9*x^6+4*x^5+3*x^4-2*x^3-x-1)/(x-1)^2/(x+1)^2 ogf] A175631 11.4730 [x*(3*x^3-8*x^2+6*x-2)/(x-1)^3 ogf] A175631 23.7005 [-x*(-4+x)/(x-1)/(3*x^3-8*x^2+6*x-2) lgdogf] A175631 5.10690 [{(-n^2+n)*a(n)+(5*n^2+5*n)*a(n+1)+(-4*n^2+4)*a(n+2),a(0)=0,a(1)=2,a(2)=0,a(3)=2} ogf] A175631 8.2924 [-f(x)*x^3+3*x^4+3*f(x)*x^2-8*x^3-3*f(x)*x+6*x^2+f(x)-2*x ogf] A175633 10.2355 [-(127-2*x+127*x^2)/(127*x-1)/(x^2-254*x+1) lgdogf] A175633 4.35474 [-(32256*f(x)-16127)*(f(x)*x^2-254*f(x)*x+f(x)+127*x-1) ogf] A175633 5.11429 [{a(n+2)-254*a(n+1)+a(n),a(0)=1,a(1)=127} ogf] A175633 8.97610 [-(127*x-1)/(x^2-254*x+1) ogf] A175637 5.54306 [-(400*x^13-70*x^8-404*x^7-10*x^6-77*x^5-11*x^4-9*x^3-7*x^2-3*x-1)/(x-1)/(x+1)/(10*x^3+1)/(10*x^3-1)/(x^2+x+1)/(x^2-x+1) ogf] A175654 12.6664 [-(x^2+x-1)/(2*x-1)/(3*x^2+x-1) ogf] A175654 14.0539 [-2*(1+3*x^4+6*x^3-8*x^2)/(2*x-1)/(3*x^2+x-1)/(x^2+x-1) lgdogf] A175654 6.89863 [(7*f(x)+17)*(6*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1) ogf] A175654 6.89864 [{a(n+3)-3*a(n+2)-a(n+1)+6*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A175655 10.3854 [-2*(2-4*x-x^2-6*x^3+15*x^4)/(-1+2*x)/(3*x^2+x-1)/(5*x^2-x-1) lgdogf] A175655 10.4336 [-(5*x^2-x-1)/(2*x-1)/(3*x^2+x-1) ogf] A175655 5.53436 [-(f(x)+5)*(6*f(x)*x^3-f(x)*x^2-3*f(x)*x+5*x^2+f(x)-x-1) ogf] A175655 5.68259 [{-a(n+3)+3*a(n+2)+a(n+1)-6*a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A175656 13.5354 [-(3*x^2-1)/(x+1)/(2*x-1)^2 ogf] A175656 15.8446 [-3*(-1+2*x^3+x^2)/(2*x-1)/(x+1)/(3*x^2-1) lgdogf] A175656 7.05568 [{-a(n+3)+3*a(n+2)-4*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A175656 7.36926 [(4*f(x)+23)*(4*f(x)*x^3-3*f(x)*x+3*x^2+f(x)-1) ogf] A175657 11.4279 [-(3*x^2-x-1)/(x^2+x-1)/(2*x-1) ogf] A175657 12.2029 [-2*(x-1)*(3*x^3+x^2+2*x-2)/(2*x-1)/(3*x^2-x-1)/(x^2+x-1) lgdogf] A175657 6.06173 [-(f(x)+5)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+3*x^2+f(x)-x-1) ogf] A175657 6.22411 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=8} ogf] A175658 11.6919 [-(3*x^2-1)/(2*x-1)/(x^2+2*x-1) ogf] A175658 12.5598 [-2*(2-6*x+3*x^4+3*x^2)/(2*x-1)/(3*x^2-1)/(x^2+2*x-1) lgdogf] A175658 5.89770 [{a(n+3)-4*a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A175658 6.00397 [-(f(x)+8)*(2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-1) ogf] A175659 10.0788 [-(7*x^2-2*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A175659 5.21021 [-(47*f(x)+170)*(6*f(x)*x^3+f(x)*x^2-4*f(x)*x+7*x^2+f(x)-2*x-1) ogf] A175659 5.44076 [{-a(n+3)+4*a(n+2)-a(n+1)-6*a(n),a(0)=1,a(1)=6,a(2)=16} ogf] A175659 8.98404 [-2*(3-8*x+4*x^2-12*x^3+21*x^4)/(3*x-1)/(-1+2*x)/(x+1)/(7*x^2-2*x-1) lgdogf] A175660 10.8727 [(2*x^2-x+1)/(x^2+x-1)/(2*x-1) ogf] A175660 11.2005 [-(-2-2*x+11*x^2-4*x^3+4*x^4)/(2*x-1)/(2*x^2-x+1)/(x^2+x-1) lgdogf] A175660 5.92173 [(9*f(x)-74)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x-2*x^2+f(x)+x-1) ogf] A175660 5.92173 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A175661 10.9405 [-(5-10*x+4*x^2-8*x^3+8*x^4)/(-1+2*x)/(4*x^2-2*x-1)/(x^2+x-1) lgdogf] A175661 10.9842 [-(4*x^2-2*x-1)/(x^2+x-1)/(2*x-1) ogf] A175661 5.7268 [-(11*f(x)+64)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+4*x^2+f(x)-2*x-1) ogf] A175661 5.92952 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=10} ogf] A175672 10.4366 [24*x/(x^2-254*x+1) ogf] A175672 16.4004 [-2*(-127+x)/(x^2+1-254*x) lgdogf] A175672 4.96982 [{a(n+2)-254*a(n+1)+a(n),a(0)=0,a(1)=24} ogf] A175672 6.61307 [-(-12-127*x+2*(21*x+2)^(1/2)*(32*x+3)^(1/2)*2^(1/2)*3^(1/2))/x revogf] A175672 6.7333 [-f(x)*x^2+254*f(x)*x-f(x)+24*x ogf] A175676 18.4188 [x^2/(x-1)^2/(x^2+x+1)^2 ogf] A175676 32.3757 [[2*x^2] ogf_with_Euler_transform] A175676 43.1613 [-6*x^2/(x-1)/(x^2+x+1) lgdogf] A175676 5.45195 [{(n+2)*a(n+4)+(-5-n)*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=0} ogf] A175677 8.41769 [x^3*(x^10+x^8+6*x^4+3*x^2+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A175677 9.19595 [-2*x*(3+12*x^2+12*x^6+26*x^8+36*x^10+4*x^14+3*x^16)/(x-1)/(x+1)/(x^2+1)/(x^10+x^8+6*x^4+3*x^2+1)/(x^4+1) lgdogf] A175686 7.53368 [-x*(x^2-x-1)*(x^4-x^2+1)/(x-1)^4/(x+1)^4 ogf] A175713 14.3667 [-1/(2*x^4-4*x^3+4*x^2+x-1) ogf] A175713 15.3385 [-(1+8*x+8*x^3-12*x^2)/(4*x^2-1+x+2*x^4-4*x^3) lgdogf] A175713 6.01682 [(2*f(x)-1)*(2*f(x)*x^4-4*f(x)*x^3+4*f(x)*x^2+f(x)*x-f(x)+1) ogf] A175714 12.9374 [-(1+2*x+16*x^3-15*x^2)/(-1+x)/(4*x^3-x^2+1) lgdogf] A175714 17.5413 [1/(x-1)/(4*x^3-x^2+1) ogf] A175714 6.41753 [(5463*f(x)+7424)*(4*f(x)*x^4-5*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)-1) ogf] A175715 14.0002 [-1/(2*x^6-4*x^5+3*x^4+x^2+x-1) ogf] A175715 9.57902 [-(1+2*x+12*x^3-20*x^4+12*x^5)/(x^2-1+x-4*x^5+3*x^4+2*x^6) lgdogf] A175716 19.8458 [(exp(x)*x+exp(x)+x+2)/(x+1) lgdegf] A175722 12.7868 [-1/(x-1)/(x^2-x-1)^2 ogf] A175722 25.0021 [-(1-7*x+5*x^2)/(-1+x)/(x^2-x-1) lgdogf] A175722 4.02678 [{(n+4)*a(n+4)+a(n+3)+(-11-2*n)*a(n+2)+(6+n)*a(n+1),a(0)=1,a(1)=-1,a(2)=4,a(3)=-6} ogf] A175723 11.0075 [(-1-4*x-20*x^3-8*x^4+10*x^9+x^8-3*x^6-34*x^5-9*x^2)/(x-1)/(x+1)/(1+x^2)/(5*x^6+x^5+4*x^4+3*x^3+2*x^2+x+1) lgdogf] A175723 14.5058 [-(5*x^6+x^5+4*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A175724 10.3427 [x^4/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^4 ogf] A175724 13.0176 [-3*(1+x+x^2+x^3+x^4+3*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A175724 30.0448 [[x^5+3] ogf_with_Euler_transform] A175740 13.5976 [1/(x^2-x+1)/(x^4-x^2+1)/(x^14-x^11-x^10+x^7-x^4-x^3+1) ogf] A175740 7.86366 [-(-1-10*x^9-19*x^18+20*x^19)/(x^2-x+1)/(x^4-x^2+1)/(x^14-x^11-x^10+x^7-x^4-x^3+1) lgdogf] A175772 14.3888 [1/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^10-x^6-x^5-x^4+1) ogf] A175772 8.46856 [-(-1-17*x^16-9*x^8+18*x^17)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x^10-x^6-x^5-x^4+1) lgdogf] A175773 12.2721 [-(-1-11*x^10-6*x^5+12*x^11)/(x^2-x+1)/(x^10-x^8-x^7+x^5-x^3-x^2+1) lgdogf] A175773 17.5677 [1/(x^2-x+1)/(x^10-x^8-x^7+x^5-x^3-x^2+1) ogf] A175774 10.3329 [-1/20*(-35-11*x+(1225+1890*x+81*x^2)^(1/2))/(-28+x) revogf] A175774 10.7662 [35*(8*x+1)/(10*x-1)/(x-1) ogf] A175774 12.8531 [-(-19+20*x+80*x^2)/(x-1)/(8*x+1)/(10*x-1) lgdogf] A175774 5.78829 [(27*f(x)+860)*(10*f(x)*x^2-11*f(x)*x+f(x)-280*x-35) ogf] A175774 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=35,a(1)=665} ogf] A175775 10.3329 [-1/20*(-49-11*x+(2401+1638*x+81*x^2)^(1/2))/(-14+x) revogf] A175775 10.7662 [7*(20*x+7)/(10*x-1)/(x-1) ogf] A175775 11.9768 [-(-97+140*x+200*x^2)/(x-1)/(20*x+7)/(10*x-1) lgdogf] A175775 5.6074 [(927*f(x)+20440)*(10*f(x)*x^2-11*f(x)*x+f(x)-140*x-49) ogf] A175775 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=49,a(1)=679} ogf] A175776 11.4397 [(x-1)*x^5+(x-1)*x^13+x^2+x+2 ogf_with_Euler_transform] A175776 5.74881 [x^4*(x+1)*(x^2-x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^4 ogf] A175777 18.4151 [x^7-x^5+x^2+x+2 ogf_with_Euler_transform] A175777 7.36741 [x^4*(x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A175777 7.98782 [-(2+2*x+11*x^7+3*x^2+3*x^3+3*x^4+3*x^5+9*x^9+3*x^6-7*x^8)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4+1) lgdogf] A175780 16.8590 [x^11-x^9+x^4+x+2 ogf_with_Euler_transform] A175780 5.88150 [x^5*(x^4-x^3+x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^4 ogf] A175782 9.42030 [-(-20+19*x+302*x^20+39*x^21-361*x^19)/(19*x^2+20-39*x+97*x^20-39*x^19+39*x^22-98*x^21) lgdogf] A175784 6.99461 [-4*(2*x^9+x^8-x^6-2*x^5-7*x^4-6*x^3-x^2-4*x-3)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A175790 15.2478 [-(-1+5*x^4+8*x^3+3*x^2)/(x+1)/(x^4+x^3-1) lgdogf] A175790 16.0760 [-1/(x+1)/(x^4+x^3-1) ogf] A175805 15.8901 [{a(n+1)-2*a(n),a(0)=21} ogf] A175805 20.0518 [-2*f(x)*x+f(x)-21 ogf] A175805 31.8581 [-1/2*ln(21)+1/2*ln(21+2*x) revegf] A175805 32.3913 [-21/(2*x-1) ogf] A175805 75.3011 [-2/(-1+2*x) lgdogf] A175806 15.1614 [{a(n+1)-2*a(n),a(0)=27} ogf] A175806 19.1322 [-2*f(x)*x+f(x)-27 ogf] A175806 30.9059 [-27/(2*x-1) ogf] A175806 31.5927 [-3/2*ln(3)+1/2*ln(27+2*x) revegf] A175806 71.8016 [-2/(-1+2*x) lgdogf] A175812 11.0615 [-(2+6*x+3*x^7+5*x^6+6*x^5+6*x^4+11*x^3+9*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4+1) lgdogf] A175812 11.5262 [x*(x^4+1)/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A175812 20.4188 [-x^7+x^3+x^2+x+2 ogf_with_Euler_transform] A175822 14.6186 [-x^9+x^6-x^5+x^4+x^2+x+2 ogf_with_Euler_transform] A175822 6.86459 [x*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A175824 10.4020 [255*x/(256*x-1)/(x-1) ogf] A175824 15.1665 [-(-257+512*x)/(256*x-1)/(x-1) lgdogf] A175824 5.14120 [{a(n+2)-257*a(n+1)+256*a(n),a(0)=0,a(1)=255} ogf] A175824 6.19478 [-1/512*(-255-257*x+(15*x+17)^(1/2)*(17*x+15)^(1/2)*17^(1/2)*15^(1/2))/x revogf] A175824 6.88128 [-256*f(x)*x^2+257*f(x)*x-f(x)+255*x ogf] A175825 11.5181 [(128*x+127)/(256*x-1)/(x-1) ogf] A175825 5.75904 [(8356095*f(x)+12452224)*(256*f(x)*x^2-257*f(x)*x+f(x)-128*x-127) ogf] A175825 6.63541 [{-a(n+2)+257*a(n+1)-256*a(n),a(0)=127,a(1)=32767} ogf] A175825 6.83401 [-1/256*(-127-257*x+(16129+65790*x+65025*x^2)^(1/2))/(-1+2*x) revogf] A175825 7.45529 [-(-32767+65024*x+32768*x^2)/(x-1)/(256*x-1)/(128*x+127) lgdogf] A175826 10.9985 [-(2+2*x+3*x^7-x^6+5*x^5-3*x^4+8*x^3)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1) lgdogf] A175826 20.0372 [-x^9+x^4+x^3+x+2 ogf_with_Euler_transform] A175826 7.30694 [x*(x^4-x^3+x^2-x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A175827 6.37761 [x*(x^10-x^9+x^7+x^3-x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^4 ogf] A175828 10.5943 [-2*(1+14*x+x^5+10*x^4+25*x^3+21*x^2)/(x-1)/(x+1)/(2*x^4+9*x^3+11*x^2+x+1) lgdogf] A175828 8.39043 [-(2*x^4+9*x^3+11*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A175829 13.1470 [-(x^2-x+1)*(x^9-x^2-2*x-2) ogf_with_Euler_transform] A175829 6.34665 [x*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A175831 10.6266 [-(2+4*x+3*x^7+5*x^6+x^5-x^4+5*x^3+5*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^4-x^2+1) lgdogf] A175831 17.2639 [-x^11+x^5+x^3+x^2+2 ogf_with_Euler_transform] A175831 9.85384 [x*(x^4-x^2+1)/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A175833 10.4543 [-(11321*f(x)+56365)*(f(x)*x^3+11*x^2-f(x)+7*x+4) ogf] A175833 11.9478 [{a(n+3)-a(n),a(0)=4,a(1)=7,a(2)=11} ogf] A175833 14.7888 [-(7+22*x+11*x^4+14*x^3+12*x^2)/(x-1)/(x^2+x+1)/(11*x^2+7*x+4) lgdogf] A175833 18.3995 [-(11*x^2+7*x+4)/(x-1)/(x^2+x+1) ogf] A175842 4.85411 [x*(x^14-x^13+x^11-x^10+x^9+x^5-x^4+x^3-x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^4 ogf] A175846 17.0088 [-x^13+x^6+x^4+x^2+2 ogf_with_Euler_transform] A175846 6.89795 [x*(x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^4 ogf] A175848 12.4932 [-x^11-x^9+x^7+x^5+x^4+x^3+2 ogf_with_Euler_transform] A175848 5.85272 [-(2+3*x^15-x^14+3*x^4+4*x^3+7*x^11+3*x^10+3*x^9-7*x^8+16*x^7-4*x^6+3*x^5)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1)/(x^4-x^2+1) lgdogf] A175848 6.76958 [x*(x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A175852 5.13844 [-5*(1953125*x^6+78125*x^5+15625*x^4+625*x^3+125*x^2+5*x+1)/(9765625*x^7-1) ogf] A175868 11.9844 [-x^13-x^11+x^9+x^6+x^5+x^3+2 ogf_with_Euler_transform] A175868 5.62106 [x*(x^6-x^5+x^4-x^3+x^2-x+1)*(x^4-x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^4 ogf] A175870 6.54145 [-(2+4*x+6*x^2+8*x^3+4*x^4+6*x^5-2*x^6+2*x^7+3*x^11+5*x^10+7*x^9+3*x^8)/(-1+x)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6-x^3+1) lgdogf] A175870 6.64584 [x*(x^6-x^3+1)/(x^2+x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A175884 10.8336 [x*(3*x^4+2*x^3+3*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A175884 8.16082 [-(4+10*x+18*x^5+22*x^4+21*x^3+6*x^8+13*x^2+17*x^6+9*x^7)/(x-1)/(x^4+x^3+x^2+x+1)/(3*x^4+2*x^3+3*x^2+2*x+2) lgdogf] A175885 13.4016 [(x^2+9*x+1)/(x-1)^2/(x+1) ogf] A175885 17.8104 [-(10+14*x+19*x^2+x^3)/(x-1)/(x+1)/(x^2+9*x+1) lgdogf] A175885 7.17101 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=12} ogf] A175885 7.17102 [(10*f(x)+119)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-9*x-1) ogf] A175886 13.0607 [(x^2+11*x+1)/(x-1)^2/(x+1) ogf] A175886 17.2567 [-(12+16*x+23*x^2+x^3)/(x-1)/(x+1)/(x^2+11*x+1) lgdogf] A175886 7.04142 [(35*f(x)+477)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-11*x-1) ogf] A175886 7.10318 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=12,a(2)=14} ogf] A175887 13.1894 [(x^2+13*x+1)/(x-1)^2/(x+1) ogf] A175887 17.4301 [-(14+18*x+27*x^2+x^3)/(x-1)/(x+1)/(x^2+13*x+1) lgdogf] A175887 7.1108 [(27*f(x)+418)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-13*x-1) ogf] A175887 7.17317 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=14,a(2)=16} ogf] A175895 19.2492 [x*(1+x^2-3*x)/(1+x+x^2)/(x-1)^2 revogf] A175898 6.40216 [-(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x+1)^2/(x-1)^5 ogf] A175898 8.18458 [-(6+34*x+9*x^6+42*x^5+78*x^4+108*x^3+x^7+72*x^2)/(x-1)/(x+1)/(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1) lgdogf] A175899 11.9220 [-x*(8*x^2+3*x+2)/(2*x^4+x^3+x^2-1) ogf] A175899 11.9346 [-(3+20*x+32*x^5+26*x^4+22*x^3+9*x^2)/(8*x^2+3*x+2)/(2*x^4+x^3+x^2-1) lgdogf] A175899 6.52873 [(937781*f(x)+2747284)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+8*x^3+3*x^2-f(x)+2*x) ogf] A175912 13.6342 [1/2*(-1+2*x+4*x^2+(1-4*x+4*x^3)^(1/2))/x/(1+x) revogf] A175912 5.65796 [f(x)^2*x^3-4*f(x)^2*x^2+4*f(x)^2*x+f(x)*x^2-2*f(x)*x-f(x)+1 ogf] A175921 10.1627 [-(x^4-x^3+2*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A175921 7.53264 [-(2+4*x+6*x^6+8*x^5-2*x^7+5*x^4+4*x^3+x^8-3*x^2)/(x-1)/(x^4-x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1) lgdogf] A175922 12.6687 [-(2*x^4-x^3+2*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A175922 9.23399 [-(1+4*x+2*x^8-2*x^7+6*x^6+4*x^5+5*x^4+8*x^3-3*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4-x^3+2*x^2+x+1) lgdogf] A175925 10.6111 [-(3*x+1)/(x-1)^3 egf] A175925 16.6852 [-1/2*(-1-2*x+(1+8*x)^(1/2))/(x-1) revegf] A175925 25.0277 [-6*(x+1)/(3*x+1)/(x-1) lgdegf] A175925 3.28882 [{(-3*n^2-15*n-18)*a(n+1)+(-2*n^2-13*n-30)*a(n+2)+(2*n+6)*a(n+3),a(0)=1,a(1)=6,a(2)=30} ogf] A175925 5.15952 [(1040*f(x)-2579)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) egf] A175934 11.8136 [-f(x)^2*x-f(x)*x^2-f(x)*x+f(x)-1 ogf] A175962 5.24334 [-9*f(x)^2*x^3+12*f(x)^2*x^2+4*f(x)*x^3-4*f(x)^2*x-5*f(x)*x^2-x^2+f(x)+2*x-1 ogf] A175971 6.72605 [-(1+18*x+27*x^8+2*x^9+96*x^7+75*x^2+32*x^3+173*x^4+x^10+186*x^5+37*x^6)/(x-1)/(x^2+x+1)/(x^8+x^7+9*x^6+22*x^5+6*x^4+22*x^3+9*x^2+x+1) lgdogf] A175971 7.22057 [-16*(x^8+x^7+9*x^6+22*x^5+6*x^4+22*x^3+9*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A175976 10.4422 [-(17*x^2-10*x+2)/(4*x-1)/(x-1)^2 ogf] A175976 12.9029 [-2*(-1+34*x^3-6*x^2)/(x-1)/(4*x-1)/(17*x^2-10*x+2) lgdogf] A175976 5.52821 [-(51*f(x)-91)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+17*x^2-f(x)-10*x+2) ogf] A175976 5.82173 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=2,a(1)=2,a(2)=11} ogf] A176006 10.8492 [-(x^2-6*x+1+((x^2-6*x+1)*(x-1)^2)^(1/2))/(x^2-6*x+1)/(x-1) lgdogf] A176006 3.79862 [{a(n)*n+(-7*n-9)*a(n+1)+(7*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A176006 5.8896 [f(x)^2*x^2-2*f(x)^2*x-f(x)*x^2+f(x)^2+4*f(x)*x-3*f(x)+2 ogf] A176010 12.5627 [(14*x^2+69*x+14)/(x-1)^2/(x+1) ogf] A176010 14.3400 [-(83+139*x+14*x^3+152*x^2)/(x-1)/(x+1)/(14*x^2+69*x+14) lgdogf] A176010 6.64475 [(715*f(x)+123451)*(f(x)*x^3-f(x)*x^2-f(x)*x-14*x^2+f(x)-69*x-14) ogf] A176010 6.93116 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=14,a(1)=83,a(2)=111} ogf] A176027 10.9672 [x*(4*x-3)/(2*x-1)^3 ogf] A176027 23.1929 [-2*(-7+8*x)/(2*x-1)/(4*x-3) lgdogf] A176027 5.62917 [-(3*f(x)-13)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x-4*x^2-f(x)+3*x) ogf] A176027 5.62918 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=3,a(2)=14} ogf] A176037 4.45870 [{(-n^3-9*n^2-26*n-24)*a(n+1)+a(n+2),a(0)=2,a(1)=12} ogf] A176040 15.4890 [{-a(n+2)+a(n),a(0)=3,a(1)=1} ogf] A176040 20.2641 [-arcsinh(1/4*2^(1/2))+arcsinh(1/4*2^(1/2)*(1+x)) revegf] A176040 22.0287 [-f(x)*x^2+f(x)-x-3 ogf] A176040 24.1779 [-(x+3)/(x-1)/(x+1) ogf] A176040 32.4226 [-(1+6*x+x^2)/(x-1)/(x+3)/(x+1) lgdogf] A176059 14.1613 [(39*f(x)-101)*(f(x)*x^2-f(x)+2*x+3) ogf] A176059 15.4890 [{-a(n+2)+a(n),a(0)=3,a(1)=2} ogf] A176059 20.2641 [-arcsinh(2/5*5^(1/2))+arcsinh(1/5*5^(1/2)*(x+2)) revegf] A176059 24.1779 [-(2*x+3)/(x-1)/(x+1) ogf] A176059 28.6082 [-2*(1+3*x+x^2)/(x-1)/(2*x+3)/(x+1) lgdogf] A176060 21.7717 [-(13+14*x+3*x^2)/(x-1)/(x+2)/(x+1) lgdogf] A176060 3.77423 [{(6+2*n)*a(n+4)+(-11+n)*a(n+3)+(-16-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=2,a(2)=13,a(3)=46} ogf] A176060 9.04905 [-x*(x+2)*(x+1)/(x-1)^5 ogf] A176067 10.4540 [(110*x^2-101*x+1)/(100*x-1)/(x-1) ogf] A176067 6.01600 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=0,a(2)=10} ogf] A176067 8.07209 [100*f(x)*x^2-101*f(x)*x-110*x^2+f(x)+101*x-1 ogf] A176067 9.02559 [-10*x*(-2+101*x)/(x-1)/(100*x-1)/(110*x^2-101*x+1) lgdogf] A176085 11.6115 [-(6*x^2+15*x-4+(-(-1+4*x)*(-1+2*x)^2)^(1/2))/(x^2+4*x-1)/(-1+4*x) lgdogf] A176085 3.84239 [{(-4*n-6)*a(n+1)+(-15*n-22)*a(n+2)+(8*n+14)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=11} ogf] A176085 6.26749 [4*f(x)^2*x^3+15*f(x)^2*x^2-8*f(x)^2*x+8*f(x)*x^2+f(x)^2-2*f(x)*x+x^2 ogf] A176118 17.9275 [-n*a(n)+(-1-n)*a(n+1),a(0)=-1,a(1)=-1 lgdegf] A176126 12.2098 [-(1-6*x-2*x^9+10*x^4-32*x^3+x^10-27*x^6+4*x^7-x^8+4*x^5+12*x^2)/(x-1)/(x^2+1)/(x^4-x^3+3*x^2-x+1)/(x^4-x^3-2*x^2-x+1) lgdogf] A176126 8.92739 [(x^4-x^3+3*x^2-x+1)*(x^4-x^3-2*x^2-x+1)/(x-1)^3/(x^2+1)^3 ogf] A176145 19.2542 [-(-5-6*x+2*x^3-6*x^2)/(x-1)/(x^3-3*x^2-1) lgdogf] A176145 4.52253 [{(7*n^2+45*n+62)*a(n+1)+(-11*n^2-39*n+2)*a(n+2)+(4*n^2+6*n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A176145 9.64442 [x*(x^3-3*x^2-1)/(x-1)^5 ogf] A176174 11.6551 [-1/2*(-1-10*x+((1+6*x)*(1+10*x))^(1/2))/(1+10*x) revogf] A176174 12.1536 [-(x-1)/(10*x^2-10*x+1) ogf] A176174 14.7222 [-(9-20*x+10*x^2)/(x-1)/(10*x^2-10*x+1) lgdogf] A176174 6.41822 [(70*f(x)+11)*(10*f(x)*x^2-10*f(x)*x+f(x)+x-1) ogf] A176174 6.80025 [{-a(n+2)+10*a(n+1)-10*a(n),a(0)=1,a(1)=9} ogf] A176177 17.7028 [-x*(x+1)/(x-1)/(3*x-1)^2 ogf] A176177 26.7490 [-2*(-4+3*x+3*x^2)/(x-1)/(-1+3*x)/(x+1) lgdogf] A176177 8.77575 [-(4704*f(x)-943)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+x^2-f(x)+x) ogf] A176177 9.16750 [{a(n+3)-7*a(n+2)+15*a(n+1)-9*a(n),a(0)=0,a(1)=1,a(2)=8} ogf] A176222 14.4184 [x*(x-3)/(x+1)/(x-1)^3 ogf] A176222 21.1249 [-(-5-10*x+3*x^2)/(-1+x)/(x-3)/(x+1) lgdogf] A176222 4.17183 [{(9+3*n)*a(n+4)+(-7-n)*a(n+3)+(-13-3*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=3,a(2)=5,a(3)=10} ogf] A176222 7.20921 [(4152*f(x)-12515)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-x^2-f(x)+3*x) ogf] A176260 15.4890 [{-a(n+2)+a(n),a(0)=5,a(1)=1} ogf] A176260 19.4536 [-arcsinh(1/12*6^(1/2))+arcsinh(1/12*6^(1/2)*(1+x)) revegf] A176260 22.0287 [-f(x)*x^2+f(x)-x-5 ogf] A176260 24.1779 [-(x+5)/(x-1)/(x+1) ogf] A176260 31.3767 [-(1+10*x+x^2)/(x+5)/(x-1)/(x+1) lgdogf] A176271 10.8318 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A176271 14.0985 [-f(x)*x^2+2*f(x)*x-f(x)+x+1 ogf] A176271 19.7379 [(x+1)/(x-1)^2 ogf] A176271 26.4075 [-1/2*(-1-2*x+(8*x+1)^(1/2))/(x-1) revogf] A176271 42.1415 [[3-x] ogf_with_Euler_transform] A176271 48.4137 [-(x+3)/(x-1)/(x+1) lgdogf] A176280 20.1650 [-2*(-1+3*x+3*x^2)/(4*x-1)/(x^2+4*x-1) lgdogf] A176280 3.77680 [{(n+4)*a(n+4)+(-26-8*n)*a(n+3)+(36+15*n)*a(n+2)+(10+4*n)*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=26} ogf] A176280 7.29939 [-f(x)^2*x^4-8*f(x)^2*x^3-14*f(x)^2*x^2+8*f(x)^2*x-f(x)^2-4*x+1 ogf] A176281 5.26019 [{-a(n+3)+8*a(n+2)-16*a(n+1)+8*a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A176281 5.30675 [(11*f(x)+7)*(8*f(x)*x^3-16*f(x)*x^2+8*f(x)*x+4*x^2-f(x)-5*x+1) ogf] A176281 8.76564 [-(3-24*x+72*x^2-80*x^3+32*x^4)/(x-1)/(-1+4*x)/(2*x-1)/(4*x^2-6*x+1) lgdogf] A176281 9.67197 [-(4*x-1)*(x-1)/(2*x-1)/(4*x^2-6*x+1) ogf] A176287 4.88792 [-4*f(x)^2*x^4+f(x)^2*x^3+4*f(x)^2*x^2-5*f(x)^2*x-4*f(x)*x^2+f(x)^2+f(x)*x-1 ogf] A176288 10.3611 [-(3+3*x+32*x^4+12*x^2-88*x^3)/(4*x^2-3*x+1)/(8*x^3-14*x^2+3*x-1) lgdogf] A176288 4.22079 [(14210*f(x)+242883)*(16*f(x)*x^4-24*f(x)*x^3+17*f(x)*x^2+8*x^3-6*f(x)*x-14*x^2+f(x)+3*x-1) ogf] A176288 7.81627 [-(8*x^3-14*x^2+3*x-1)/(4*x^2-3*x+1)^2 ogf] A176290 3.43806 [(991368*f(x)-44843)*(f(x)*x^4-10*f(x)*x^3+27*f(x)*x^2+x^3-10*f(x)*x-4*x^2+f(x)+8*x-1) ogf] A176290 6.40338 [-(x^3-4*x^2+8*x-1)/(x^2-5*x+1)^2 ogf] A176290 9.89661 [-(2-36*x+21*x^2-3*x^3+x^4)/(x^2-5*x+1)/(x^3-4*x^2+8*x-1) lgdogf] A176303 11.4289 [(252*x^8+2*x^7-253*x+126)/(2*x-1)/(x-1) ogf] A176303 8.08333 [(125-504*x-5272*x^8+14*x^6+1980*x^7+506*x^2+3024*x^9)/(x-1)/(2*x-1)/(252*x^8+2*x^7-253*x+126) lgdogf] A176326 7.34573 [-(-9-22*x+14*x^6+24*x^5-17*x^3+14*x^7+26*x^4-18*x^2)/(x-1)/(x^2+x+1)/(14*x^5+7*x^4+8*x^3-11*x^2-9*x-7) lgdogf] A176326 7.79405 [-(14*x^5+7*x^4+8*x^3-11*x^2-9*x-7)/(x-1)^2/(x^2+x+1)^2 ogf] A176332 10.8023 [(-6*x^2+9*x-5+(-(4*x-1)*(x+1)^2)^(1/2))/(x^2-2*x+2)/(4*x-1) lgdogf] A176332 5.91103 [-4*f(x)^2*x^3+9*f(x)^2*x^2-10*f(x)^2*x+2*f(x)^2+4*f(x)*x-f(x)-1 ogf] A176333 13.6840 [-(3*x-1)/(9*x^2-4*x+1) ogf] A176333 15.4372 [-1/6*(-1-4*x+(1-4*x-20*x^2)^(1/2))/(1+3*x) revogf] A176333 16.6247 [-(1-18*x+27*x^2)/(-1+3*x)/(9*x^2-4*x+1) lgdogf] A176333 7.07793 [(16*f(x)-15)*(9*f(x)*x^2-4*f(x)*x+f(x)+3*x-1) ogf] A176333 7.50952 [{a(n+2)-4*a(n+1)+9*a(n),a(0)=1,a(1)=1} ogf] A176355 15.4890 [{-a(n+2)+a(n),a(0)=6,a(1)=1} ogf] A176355 18.7053 [-arcsinh(1/35*35^(1/2))+arcsinh(1/35*35^(1/2)*(1+x)) revegf] A176355 22.0287 [-f(x)*x^2+f(x)-x-6 ogf] A176355 24.1779 [-(x+6)/(x-1)/(x+1) ogf] A176355 31.3767 [-(1+12*x+x^2)/(x-1)/(x+6)/(x+1) lgdogf] A176367 11.3121 [8*x/(x^2-126*x+1) ogf] A176367 18.0615 [-2*(-63+x)/(x^2+1-126*x) lgdogf] A176367 5.31531 [{a(n+2)-126*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A176367 7.23232 [-f(x)*x^2+126*f(x)*x-f(x)+8*x ogf] A176367 8.33609 [-(-63*x-4+2*(31*x+2)^(1/2)*(1+16*x)^(1/2)*2^(1/2))/x revogf] A176368 10.2355 [-(129-2*x+129*x^2)/(129*x-1)/(x^2-258*x+1) lgdogf] A176368 4.35474 [-(33280*f(x)-16639)*(f(x)*x^2-258*f(x)*x+f(x)+129*x-1) ogf] A176368 5.11429 [{a(n+2)-258*a(n+1)+a(n),a(0)=1,a(1)=129} ogf] A176368 8.97610 [-(129*x-1)/(x^2-258*x+1) ogf] A176369 10.3745 [16*x/(x^2-258*x+1) ogf] A176369 16.3010 [-2*(-129+x)/(x^2+1-258*x) lgdogf] A176369 4.94024 [{a(n+2)-258*a(n+1)+a(n),a(0)=0,a(1)=16} ogf] A176369 6.69322 [-f(x)*x^2+258*f(x)*x-f(x)+16*x ogf] A176369 9.05612 [-(-8-129*x+4*(65*x+4)^(1/2)*(1+16*x)^(1/2))/x revogf] A176370 11.8382 [-(65-2*x+65*x^2)/(65*x-1)/(x^2-130*x+1) lgdogf] A176370 4.81582 [-(8448*f(x)-4223)*(f(x)*x^2-130*f(x)*x+f(x)+65*x-1) ogf] A176370 5.55236 [{a(n+2)-130*a(n+1)+a(n),a(0)=1,a(1)=65} ogf] A176370 9.83231 [-(65*x-1)/(x^2-130*x+1) ogf] A176372 11.3778 [8*x/(x^2-130*x+1) ogf] A176372 18.1684 [-2*(-65+x)/(x^2+1-130*x) lgdogf] A176372 5.34622 [{a(n+2)-130*a(n+1)+a(n),a(0)=0,a(1)=8} ogf] A176372 7.27436 [-f(x)*x^2+130*f(x)*x-f(x)+8*x ogf] A176372 8.38541 [-(-65*x-4+2*(33*x+2)^(1/2)*(1+16*x)^(1/2)*2^(1/2))/x revogf] A176373 3.68752 [-(2385540963*f(x)-1192770481)*(f(x)*x^2-97684*f(x)*x+f(x)+48842*x-1) ogf] A176373 7.98605 [-1/2*(-1-97684*x+(1+9542163852*x^2)^(1/2))/(48842+x) revogf] A176374 6.1256 [-f(x)*x^2+97684*f(x)*x-f(x)+5967*x ogf] A176375 3.28594 [-(120901248*f(x)-60450623)*(f(x)*x^2-15550*f(x)*x+f(x)+7775*x-1) ogf] A176376 3.93494 [-f(x)*x^2+15550*f(x)*x-f(x)+936*x ogf] A176377 11.4188 [-(251-2*x+251*x^2)/(251*x-1)/(x^2-502*x+1) lgdogf] A176377 4.79928 [-(126000*f(x)-62999)*(f(x)*x^2-502*f(x)*x+f(x)+251*x-1) ogf] A176377 5.69217 [{a(n+2)-502*a(n+1)+a(n),a(0)=1,a(1)=251} ogf] A176377 9.99035 [-(251*x-1)/(x^2-502*x+1) ogf] A176378 11.4927 [30*x/(x^2-502*x+1) ogf] A176378 18.0901 [-2*(-251+x)/(x^2+1-502*x) lgdogf] A176378 5.47271 [{a(n+2)-502*a(n+1)+a(n),a(0)=0,a(1)=30} ogf] A176378 7.41464 [-f(x)*x^2+502*f(x)*x-f(x)+30*x ogf] A176378 7.53756 [-(-15-251*x+(84*x+5)^(1/2)*(50*x+3)^(1/2)*5^(1/2)*3^(1/2))/x revogf] A176380 3.11273 [-(12110399*f(x)-6055199)*(f(x)*x^2-6960*f(x)*x+f(x)+3480*x-1) ogf] A176380 7.11708 [-2*(1740-x+1740*x^2)/(3480*x-1)/(x^2-6960*x+1) lgdogf] A176381 11.4744 [-2*(-3480+x)/(x^2+1-6960*x) lgdogf] A176381 4.94376 [-f(x)*x^2+6960*f(x)*x-f(x)+413*x ogf] A176386 3.10434 [-(27365200*f(x)-13682599)*(f(x)*x^2-7398*f(x)*x+f(x)+3699*x-1) ogf] A176386 7.16485 [-(3699-2*x+3699*x^2)/(3699*x-1)/(x^2-7398*x+1) lgdogf] A176387 11.5557 [-2*(-3699+x)/(x^2+1-7398*x) lgdogf] A176387 4.97809 [-f(x)*x^2+7398*f(x)*x-f(x)+430*x ogf] A176409 8.19698 [(3*x^8+3*x^7+x^6+2*x^5+3*x^4+2*x^3+x^2+3*x+3)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A176413 12.1126 [{a(n+1)-3*a(n),a(0)=19} ogf] A176413 15.2849 [-3*f(x)*x+f(x)-19 ogf] A176413 24.2021 [-1/3*ln(19)+1/3*ln(19+3*x) revegf] A176413 24.6910 [-19/(3*x-1) ogf] A176413 57.2049 [-3/(-1+3*x) lgdogf] A176414 13.6188 [2*f(x)*x+f(x)-8*x-7 ogf] A176414 16.5635 [(7+8*x)/(2*x+1) ogf] A176414 17.4736 [-7/16+1/8*x+1/16*(49+4*x+4*x^2)^(1/2) revogf] A176414 35.9179 [-6/(8*x+7)/(2*x+1) lgdogf] A176414 8.51179 [{-a(n+2)-2*a(n+1),a(0)=7,a(1)=-6} ogf] A176415 15.4890 [{-a(n+2)+a(n),a(0)=7,a(1)=1} ogf] A176415 19.4536 [-arcsinh(1/12*3^(1/2))+arcsinh(1/12*3^(1/2)*(1+x)) revegf] A176415 22.0287 [-f(x)*x^2+f(x)-x-7 ogf] A176415 24.1779 [-(x+7)/(x-1)/(x+1) ogf] A176415 31.3767 [-(1+14*x+x^2)/(x-1)/(x+7)/(x+1) lgdogf] A176447 13.9760 [x*(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A176447 25.7485 [-x^5+x^2+3*x-1 ogf_with_Euler_transform] A176447 7.41336 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=-1} ogf] A176447 8.44095 [-(f(x)+1)*(f(x)*x^4-2*f(x)*x^2-x^3+x^2+f(x)-x) ogf] A176448 15.4188 [-(3*x-5)/(2*x-1)/(x-1) ogf] A176448 16.5912 [-1/2*(-5-3*x+(25+18*x+x^2)^(1/2))/(3+2*x) revogf] A176448 17.4421 [-2*(6-10*x+3*x^2)/(3*x-5)/(x-1)/(2*x-1) lgdogf] A176448 8.16287 [(f(x)+4)*(2*f(x)*x^2-3*f(x)*x+f(x)+3*x-5) ogf] A176448 8.35958 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=5,a(1)=12} ogf] A176449 14.6665 [-(5*x-7)/(2*x-1)/(x-1) ogf] A176449 15.7688 [-1/2*(-7-3*x+(49+22*x+x^2)^(1/2))/(5+2*x) revogf] A176449 16.5775 [-2*(5*x-4)*(x-2)/(x-1)/(-1+2*x)/(5*x-7) lgdogf] A176449 7.6743 [(5*f(x)+29)*(2*f(x)*x^2-3*f(x)*x+f(x)+5*x-7) ogf] A176449 7.95170 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=7,a(1)=16} ogf] A176476 6.24468 [(172*f(x)+57)*(f(x)*x^4-5*f(x)*x^3+9*f(x)*x^2-6*f(x)*x+f(x)-x) ogf] A176476 7.40657 [-(-6+18*x+4*x^3-15*x^2)/(-1+x)/(x^3-4*x^2+5*x-1) lgdogf] A176476 7.49137 [1/(x-1)/(x^3-4*x^2+5*x-1) ogf] A176479 16.4855 [-(x-3+(x^2+1-6*x)^(1/2))/(x^2+1-6*x) lgdogf] A176479 4.86179 [{(-n^2-2*n)*a(n)+(6*n^2+15*n+9)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A176479 6.67391 [-2*f(x)^2*x^2+12*f(x)^2*x+f(x)*x^2-2*f(x)^2-6*f(x)*x+f(x)+1 ogf] A176513 10.4195 [(x^2+x+1)*(x-1)*(x+1)/(x^5+x^3+x^2-1) ogf] A176513 6.39178 [(2*f(x)-3)*(f(x)*x^5+f(x)*x^3-x^4+f(x)*x^2-x^3-f(x)+x+1) ogf] A176513 8.98175 [-(-1-2*x-x^6-6*x^5+x^8+2*x^7-6*x^4-x^2+2*x^3)/(x-1)/(x+1)/(x^2+x+1)/(x^5+x^3+x^2-1) lgdogf] A176514 12.1924 [-(x^5+2*x^4+3*x^3+x^2+x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A176514 7.26492 [-(1+2*x+x^10+4*x^7+9*x^8+9*x^2+8*x^3+5*x^4+18*x^5+5*x^6+4*x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+2*x^4+3*x^3+x^2+x+3) lgdogf] A176542 10.5571 [-(25+73*x+4*x^5-2*x^4-11*x^3+19*x^2)/(x-1)/(x+1)/(4*x^4-3*x^3-8*x^2+9*x+16) lgdogf] A176542 8.40638 [-2*(4*x^4-3*x^3-8*x^2+9*x+16)/(x+1)^2/(x-1)^3 ogf] A176563 14.0436 [-(x^2+2*x-1)/(x+1)/(x^2+1) ogf] A176563 18.4859 [-(-3-4*x+x^4+4*x^3-2*x^2)/(x+1)/(x^2+1)/(x^2+2*x-1) lgdogf] A176563 7.64876 [(3*f(x)-13)*(f(x)*x^3+f(x)*x^2+f(x)*x+x^2+f(x)+2*x-1) ogf] A176563 7.64876 [{-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=1} ogf] A176592 17.3841 [(11*x+1)/(x-1)^2/(x+1)^2 ogf] A176592 23.0424 [-(11+4*x+33*x^2)/(x-1)/(11*x+1)/(x+1) lgdogf] A176592 4.30300 [{(-n-4)*a(n+4)+(-22-11*n)*a(n+3)+(6+n)*a(n+2)+(44+11*n)*a(n+1),a(0)=1,a(1)=11,a(2)=2,a(3)=22} ogf] A176592 8.69207 [-(85920*f(x)-6869039)*(f(x)*x^4-2*f(x)*x^2+f(x)-11*x-1) ogf] A176593 17.8664 [(13*x+1)/(x-1)^2/(x+1)^2 ogf] A176593 23.6925 [-(13+4*x+39*x^2)/(x-1)/(13*x+1)/(x+1) lgdogf] A176593 4.42237 [{(-n-4)*a(n+4)+(-26-13*n)*a(n+3)+(6+n)*a(n+2)+(52+13*n)*a(n+1),a(0)=1,a(1)=13,a(2)=2,a(3)=26} ogf] A176593 8.75803 [-(168672*f(x)-18882191)*(f(x)*x^4-2*f(x)*x^2+f(x)-13*x-1) ogf] A176604 7.18858 [f(x)^2*x^2-f(x)^2*x-f(x)*x-2*x^2+f(x)+2*x-1 ogf] A176605 7.468 [f(x)^2*x^2-f(x)^2*x-f(x)*x-x^2+f(x)+x-1 ogf] A176606 6.76421 [-f(x)^2*x^2+f(x)^2*x+f(x)*x-x^2-f(x)+x+1 ogf] A176607 7.15175 [-f(x)^2*x^2+f(x)^2*x+f(x)*x-2*x^2-f(x)+2*x+1 ogf] A176609 6.80724 [f(x)^2*x^2-f(x)^2*x-f(x)*x+3*x^2+f(x)-3*x-1 ogf] A176610 4.8259 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2-3*x^3+2*f(x)*x+6*x^2-f(x)-3*x+1 ogf] A176611 4.51618 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+2*x^3-2*f(x)*x-4*x^2+f(x)+2*x-1 ogf] A176612 4.4557 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)+x-1 ogf] A176632 3.96676 [(6318526582+21109459*f(x))*(8*f(x)*x^3-14*f(x)*x^2+1424*x^3+7*f(x)*x-1868*x^2-f(x)+358*x+77) ogf] A176632 4.02224 [{a(n+4)-7*a(n+3)+14*a(n+2)-8*a(n+1),a(0)=77,a(1)=897,a(2)=3333,a(3)=12813} ogf] A176632 5.92839 [-3*(299-1964*x+4728*x^2-4736*x^3+1664*x^4)/(-1+x)/(2*x-1)/(-1+4*x)/(1424*x^3-1868*x^2+358*x+77) lgdogf] A176632 7.28076 [-(1424*x^3-1868*x^2+358*x+77)/(x-1)/(2*x-1)/(4*x-1) ogf] A176633 5.32574 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=83,a(1)=708,a(2)=2952} ogf] A176633 5.63903 [(23*f(x)+5053)*(8*f(x)*x^2-6*f(x)*x+632*x^2+f(x)-210*x-83) ogf] A176633 9.71030 [-12*(59-216*x+176*x^2)/(2*x-1)/(-1+4*x)/(632*x^2-210*x-83) lgdogf] A176633 9.91690 [-(632*x^2-210*x-83)/(4*x-1)/(2*x-1) ogf] A176634 3.96618 [{a(n+4)-7*a(n+3)+14*a(n+2)-8*a(n+1),a(0)=89,a(1)=519,a(2)=2063,a(3)=8223} ogf] A176634 3.99431 [(487206890+5959683*f(x))*(8*f(x)*x^3-14*f(x)*x^2+336*x^3+7*f(x)*x-324*x^2-f(x)-104*x+89) ogf] A176634 7.31425 [-(336*x^3-324*x^2-104*x+89)/(x-1)/(2*x-1)/(4*x-1) ogf] A176635 12.1159 [-2*(121-456*x+400*x^2)/(100*x-57)/(4*x-1)/(2*x-1) lgdogf] A176635 12.3684 [-1/8*(-57-6*x+(3249+284*x+4*x^2)^(1/2))/(25+2*x) revogf] A176635 12.6221 [-(100*x-57)/(4*x-1)/(2*x-1) ogf] A176635 6.51462 [(135*f(x)+6946)*(8*f(x)*x^2-6*f(x)*x+f(x)+100*x-57) ogf] A176635 7.12775 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=57,a(1)=242} ogf] A176636 12.0157 [(114*f(x)-1457)*(f(x)*x^2-f(x)+71*x+57) ogf] A176636 13.4722 [{a(n+2)-a(n),a(0)=57,a(1)=71} ogf] A176636 20.6782 [-(71*x+57)/(x-1)/(x+1) ogf] A176636 21.2738 [1/2/(71+x)*(-57+(3249+284*x+4*x^2)^(1/2)) revogf] A176636 21.8057 [-(71+114*x+71*x^2)/(x-1)/(71*x+57)/(x+1) lgdogf] A176640 6.59855 [x*(4*x^3-4*x^2+2*x+1)/(x+1)/(2*x+1)/(2*x-1)^2/(x-1)^2 ogf] A176640 6.91564 [-(-5-13*x-14*x^2+44*x^3+16*x^4-40*x^5+48*x^6)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^3-4*x^2+2*x+1) lgdogf] A176645 4.43902 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)+x+1 ogf] A176646 10.8785 [30*x*(2*x^3+25*x^2+20*x+1)/(x-1)^6 ogf] A176646 21.5510 [-2*(13+75*x+53*x^2+3*x^3)/(x-1)/(2*x^3+25*x^2+20*x+1) lgdogf] A176646 5.76560 [{(-943*n^2-6077*n-9744)*a(n+1)+(38*n^2-6248*n-15906)*a(n+2)+(905*n^2+3085*n+2550)*a(n+3),a(0)=0,a(1)=30,a(2)=780} ogf] A176648 4.62494 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*x^3+2*f(x)*x-4*x^2-f(x)+2*x+1 ogf] A176662 12.6836 [(12*x^3-6*x^2-x+2)/(2*x-1)^2 ogf] A176662 15.4530 [(-7+14*x+24*x^3-36*x^2)/(2*x-1)/(12*x^3-6*x^2-x+2) lgdogf] A176662 6.77917 [{-a(n+4)+4*a(n+3)-4*a(n+2),a(0)=2,a(1)=7,a(2)=14,a(3)=40} ogf] A176662 7.28132 [-(12*f(x)+25)*(4*f(x)*x^2-12*x^3-4*f(x)*x+6*x^2+f(x)+x-2) ogf] A176672 8.85993 [(x^7+5*x^6+2*x^5+11*x^4+5*x^3+7*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A176675 13.3380 [1/4+1/4*x-1/4*x^2-1/4*(1-6*x+7*x^2-2*x^3+x^4)^(1/2) revogf] A176675 7.93613 [f(x)^2*x^2-f(x)^2*x-f(x)*x+f(x)+2*x-1 ogf] A176677 7.60042 [-f(x)^2*x^2+f(x)^2*x+f(x)*x-x^2-f(x)-x+1 ogf] A176678 7.57383 [-f(x)^2*x^2+f(x)^2*x+f(x)*x-2*x^2-f(x)+1 ogf] A176691 11.5335 [(x^2+3*x-2)/(2*x-1)/(x-1)^2 ogf] A176691 14.3684 [-(5-17*x+14*x^2+2*x^3)/(x-1)/(2*x-1)/(x^2+3*x-2) lgdogf] A176691 6.22606 [(4*f(x)-119)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)-3*x+2) ogf] A176691 6.28165 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=5,a(2)=9} ogf] A176697 15.777 [-x^2-1+f(x)-f(x)^2*x ogf] A176697 4.74276 [{(-4*n-2)*a(n+1)+(-4*n-14)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A176710 10.5833 [-(2*x+1)/(12*x^2-1) ogf] A176710 11.6844 [1/4*(-1+(1+8*x+48*x^2)^(1/2))/(1+6*x) revogf] A176710 11.6844 [-2*(1+12*x+12*x^2)/(2*x+1)/(12*x^2-1) lgdogf] A176710 6.35 [(12*f(x)-11)*(12*f(x)*x^2-f(x)+2*x+1) ogf] A176710 6.83846 [{-a(n+2)+12*a(n),a(0)=1,a(1)=2} ogf] A176711 10.6280 [-(-95-340*x-186*x^2-20*x^3+x^4)/(x-1)/(x^4-12*x^3-50*x^2-60*x-7) lgdogf] A176711 6.86796 [3*(x^4-12*x^3-50*x^2-60*x-7)/(x-1)^5 ogf] A176712 6.44640 [-3*(39*x^4+124*x^3-590*x^2+460*x+95)/(x-1)^5 ogf] A176712 8.90048 [-(935+660*x+39*x^4+404*x^3-1398*x^2)/(x-1)/(39*x^4+124*x^3-590*x^2+460*x+95) lgdogf] A176730 6.96356 [{(9*n^2+33*n+30)*a(n+1)-a(n+2),a(0)=1,a(1)=6} ogf] A176731 7.16676 [{(9*n^2+39*n+42)*a(n+1)-a(n+2),a(0)=1,a(1)=12} ogf] A176732 5.84097 [{(-n-2)*a(n+1)+(-n-8)*a(n+2)+a(n+3),a(0)=1,a(1)=6,a(2)=43} ogf] A176732 64.6960 [-(6+x)/(x-1) lgdegf] A176733 5.37013 [{(-n-2)*a(n+1)+(-n-9)*a(n+2)+a(n+3),a(0)=1,a(1)=7,a(2)=57} ogf] A176733 59.4153 [-(7+x)/(x-1) lgdegf] A176734 5.46280 [{(-n-2)*a(n+1)+(-n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=8,a(2)=73} ogf] A176734 60.9132 [-(x+8)/(x-1) lgdegf] A176735 5.61699 [{(-n-2)*a(n+1)+(-n-11)*a(n+2)+a(n+3),a(0)=1,a(1)=9,a(2)=91} ogf] A176735 62.6607 [-(9+x)/(x-1) lgdegf] A176736 5.68754 [{(-n-2)*a(n+1)+(-n-12)*a(n+2)+a(n+3),a(0)=1,a(1)=10,a(2)=111} ogf] A176736 59.4537 [-(10+x)/(x-1) lgdegf] A176737 24.5815 [-1/(x+1)/(3*x^2+x-1) ogf] A176737 28.5965 [-x*(8+9*x)/(x+1)/(3*x^2+x-1) lgdogf] A176737 8.72247 [{-a(n+3)+4*a(n+1)+3*a(n),a(0)=1,a(1)=0,a(2)=4} ogf] A176737 9.32402 [(1873*f(x)+2223)*(3*f(x)*x^3+4*f(x)*x^2-f(x)+1) ogf] A176738 23.8298 [-1/(x+1)/(4*x^2+x-1) ogf] A176738 25.8694 [-2*x*(5+6*x)/(x+1)/(4*x^2+x-1) lgdogf] A176738 8.45574 [{-a(n+3)+5*a(n+1)+4*a(n),a(0)=1,a(1)=0,a(2)=5} ogf] A176738 9.03889 [-(77*f(x)+48)*(4*f(x)*x^3+5*f(x)*x^2-f(x)+1) ogf] A176739 22.9006 [-4*x*(1+3*x)/(2*x-1)/(2*x^2+2*x+1) lgdogf] A176739 23.9178 [-1/(2*x-1)/(2*x^2+2*x+1) ogf] A176739 8.48697 [{a(n+3)-2*a(n+1)-4*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A176739 9.28573 [-(3*f(x)-4)*(4*f(x)*x^3+2*f(x)*x^2-f(x)+1) ogf] A176742 15.2916 [f(x)*x^2+x^2+f(x)-1 ogf] A176742 16.6508 [-(x-1)*(x+1)/(x^2+1) ogf] A176742 29.9099 [[x^3-2*x] ogf_with_Euler_transform] A176742 47.5513 [4*x/(x-1)/(x+1)/(x^2+1) lgdogf] A176742 9.02757 [{-a(n+3)-a(n+1),a(0)=1,a(1)=0,a(2)=-2} ogf] A176743 6.33461 [-(2*x^7-x^5-x^4-10*x^3-2*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A176749 7.24882 [f(x)^2*x^2-f(x)^2*x-f(x)*x+3*x^2+f(x)-x-1 ogf] A176750 7.04605 [f(x)^2*x^2-f(x)^2*x-f(x)*x+4*x^2+f(x)-2*x-1 ogf] A176751 6.66832 [f(x)^2*x^2-f(x)^2*x-f(x)*x+5*x^2+f(x)-3*x-1 ogf] A176752 6.44355 [f(x)^2*x^2-f(x)^2*x-f(x)*x+x^2+f(x)+2*x-1 ogf] A176753 7.03727 [f(x)^2*x^2-f(x)^2*x-f(x)*x+2*x^2+f(x)+x-1 ogf] A176754 7.85776 [f(x)^2*x^2-f(x)^2*x-f(x)*x+3*x^2+f(x)-1 ogf] A176755 7.10599 [f(x)^2*x^2-f(x)^2*x-f(x)*x+4*x^2+f(x)-x-1 ogf] A176756 6.90513 [f(x)^2*x^2-f(x)^2*x-f(x)*x+5*x^2+f(x)-2*x-1 ogf] A176757 6.56412 [f(x)^2*x^2-f(x)^2*x-f(x)*x+6*x^2+f(x)-3*x-1 ogf] A176758 16.0521 [2/(2*x-1)/(2*x^2+2*x-1) ogf] A176758 17.4352 [-4*(-1+x+3*x^2)/(2*x-1)/(2*x^2+2*x-1) lgdogf] A176758 5.82421 [{-a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=2,a(1)=8,a(2)=28} ogf] A176758 6.51619 [(87*f(x)-44)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)-2) ogf] A176759 5.086 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2-x^3+2*f(x)*x+4*x^2-f(x)-3*x+1 ogf] A176776 10.9003 [-(2*x^2+4*x-3)*(5*x^2-4*x+1)/(x-1)/(2*x-1)/(5*x^3-2*x^2-2*x+1) lgdogf] A176776 4.82295 [-(20*f(x)-51)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*x^3-5*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A176776 8.95691 [(5*x^3-2*x^2-2*x+1)/(2*x-1)/(x-1)^3 ogf] A176777 10.8373 [-2*(-2+10*x+7*x^4-16*x^2+4*x^3)/(x-1)/(2*x-1)/(7*x^3-5*x^2-x+1) lgdogf] A176777 4.90572 [-(7*f(x)-33)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-7*x^3-5*f(x)*x+5*x^2+f(x)+x-1) ogf] A176777 9.04694 [(7*x^3-5*x^2-x+1)/(2*x-1)/(x-1)^3 ogf] A176778 11.4947 [-(-1+6*x^4+17*x^2-28*x^3)/(x-1)/(-1+3*x)/(2*x-1)/(x^2-3*x+1) lgdogf] A176778 4.86678 [(92*f(x)+187)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+3*x^3-5*f(x)*x-10*x^2+f(x)+6*x-1) ogf] A176778 8.79765 [-(3*x-1)*(x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A176780 33.3371 [[7-2*x] ogf_with_Euler_transform] A176780 34.6154 [-(3*x+7)/(x-1)/(x+1) lgdogf] A176780 5.15544 [{(-n-3)*a(n+3)+7*a(n+2)+(4+n)*a(n+1),a(0)=6,a(1)=42,a(2)=156} ogf] A176780 8.82869 [-6*(x+1)^2/(x-1)^5 ogf] A176785 23.9901 [-1/2*ln(1-2*x+2*x^2) revegf] A176805 10.5755 [(x+1)*(5*x-2)/(3*x-1)/(x-1)^2 ogf] A176805 12.1552 [-(7-31*x+33*x^2+15*x^3)/(x-1)/(3*x-1)/(-2+5*x)/(x+1) lgdogf] A176805 5.42103 [-(372*f(x)-487)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-5*x^2-f(x)-3*x+2) ogf] A176805 5.70888 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=2,a(1)=7,a(2)=16} ogf] A176806 7.05636 [-31*f(x)^3*x^3-18*f(x)^3*x^2+f(x)^3*x+4*f(x)^3-f(x)*x-3*f(x)-1 ogf] A176812 13.9834 [-3*(x+1)/(5*x^2+2*x-1) ogf] A176812 14.6796 [1/2/(3+5*x)*(-3-2*x+(9+24*x+24*x^2)^(1/2)) revogf] A176812 17.6155 [-(3+10*x+5*x^2)/(x+1)/(5*x^2+2*x-1) lgdogf] A176812 7.07028 [(166*f(x)-255)*(5*f(x)*x^2+2*f(x)*x-f(x)+3*x+3) ogf] A176812 7.67383 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=3,a(1)=9} ogf] A176818 13.2577 [-(6*x-1)/(9*x-1)/(2*x-1) ogf] A176818 13.8893 [-1/12*(-1-11*x+(1-2*x+49*x^2)^(1/2))/(1+3*x) revogf] A176818 14.9056 [-(5-36*x+108*x^2)/(6*x-1)/(2*x-1)/(9*x-1) lgdogf] A176818 6.77296 [-(19*f(x)+6)*(18*f(x)*x^2-11*f(x)*x+f(x)+6*x-1) ogf] A176818 7.41800 [{a(n+2)-11*a(n+1)+18*a(n),a(0)=1,a(1)=5} ogf] A176826 6.37118 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-2*f(x)*x-2*x^2+f(x)+2*x-1 ogf] A176828 4.98319 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+x^3+2*f(x)*x-f(x)-x+1 ogf] A176829 4.69109 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*x^3+2*f(x)*x-2*x^2-f(x)+1 ogf] A176830 4.36929 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+3*x^3+2*f(x)*x-4*x^2-f(x)+x+1 ogf] A176832 4.55522 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-4*x^3-2*f(x)*x+6*x^2+f(x)-2*x-1 ogf] A176848 15.1725 [(x^2+x+1)*(x-1)^2/(x^4-2*x^3-x+1) ogf] A176848 9.43153 [f(x)*(f(x)*x^4-2*f(x)*x^3-x^4+x^3-f(x)*x+f(x)+x-1) ogf] A176854 4.71964 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-2*f(x)*x-x^2+f(x)+3*x-1 ogf] A176855 4.60997 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+x^3+2*f(x)*x-x^2-f(x)-2*x+1 ogf] A176856 4.92389 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*x^3+2*f(x)*x-3*x^2-f(x)-x+1 ogf] A176857 4.90258 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-3*x^3-2*f(x)*x+5*x^2+f(x)-1 ogf] A176858 4.62073 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-4*x^3-2*f(x)*x+7*x^2+f(x)-x-1 ogf] A176859 4.36929 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-5*x^3-2*f(x)*x+9*x^2+f(x)-2*x-1 ogf] A176868 5.16192 [-(84*x^18-x^16-x^14-113*x^12+4*x^11-x^9-4*x^8-x^7+x^6-5*x^5+4*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A176880 14.4285 [-(-3+2*x-6*x^2+8*x^3)/(x^2+1-3*x+2*x^4-2*x^3) lgdogf] A176880 17.1358 [1/(2*x^4-2*x^3+x^2-3*x+1) ogf] A176880 6.26919 [-(35*f(x)+16)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A176889 10.5000 [-(x^4+2*x^3-2*x^2+2*x+1)/(x+1)^3/(x-1)^3 ogf] A176889 12.6324 [-2*(1+x+x^5+3*x^4+8*x^2-2*x^3)/(x-1)/(x+1)/(x^4+2*x^3-2*x^2+2*x+1) lgdogf] A176895 11.1381 [-(f(x)+137)*(f(x)*x^4+4*x^3+2*x^2-f(x)+4*x+1) ogf] A176895 13.5094 [-4*(1+x+x^6+x^5+3*x^4+3*x^2+x^3)/(x-1)/(x+1)/(x^2+1)/(4*x^3+2*x^2+4*x+1) lgdogf] A176895 17.3911 [-(4*x^3+2*x^2+4*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A176898 4.75961 [{(216*n^2+1080*n+1326)*a(n+1)+(-2*n^2-13*n-21)*a(n+2),a(0)=5,a(1)=231} ogf] A176900 13.1328 [-4*(1+6*x-24*x^2+8*x^3)/(4*x^2-2*x+1)/(1-8*x+4*x^2) lgdogf] A176900 3.53697 [{(4*n^2+28*n+48)*a(n+1)+(-2*n^2-12*n-16)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=-4,a(2)=-24} ogf] A176900 4.62131 [-(f(x)+11)*(16*f(x)*x^4-16*f(x)*x^3+12*f(x)*x^2-4*f(x)*x-4*x^2+f(x)+8*x-1) ogf] A176900 8.79331 [(4*x^2-8*x+1)/(4*x^2-2*x+1)^2 ogf] A176916 11.1048 [-(11-71*x+125*x^2+95*x^3)/(x-1)/(5*x-1)/(19*x^2+3*x-2) lgdogf] A176916 5.05807 [(42640*f(x)+76339)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-19*x^2-f(x)-3*x+2) ogf] A176916 5.32197 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=2,a(1)=11,a(2)=36} ogf] A176916 9.71470 [(19*x^2+3*x-2)/(5*x-1)/(x-1)^2 ogf] A176952 4.63953 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-x^3-2*f(x)*x+f(x)+3*x-1 ogf] A176953 4.55965 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-2*x^3-2*f(x)*x+2*x^2+f(x)+2*x-1 ogf] A176954 5.1361 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+3*x^3+2*f(x)*x-4*x^2-f(x)-x+1 ogf] A176956 4.75476 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+4*x^3+2*f(x)*x-6*x^2-f(x)+1 ogf] A176957 4.52643 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-5*x^3-2*f(x)*x+8*x^2+f(x)-x-1 ogf] A176958 4.33669 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-6*x^3-2*f(x)*x+10*x^2+f(x)-2*x-1 ogf] A176959 4.81042 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2-x^3+2*f(x)*x+2*x^2-f(x)-3*x+1 ogf] A176961 10.3709 [(2*x^2+x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A176961 5.64842 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A176961 5.6993 [(2*f(x)+3)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x-2*x^2+f(x)-x-1) ogf] A176961 9.82569 [-2*(-1-6*x+4*x^3+4*x^4+5*x^2)/(x-1)/(1+2*x)/(2*x-1)/(2*x^2+x+1) lgdogf] A176962 4.76781 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)-x+1 ogf] A176963 10.4926 [(8*x^2+2*x+1)/(x-1)/(4*x-1)/(4*x+1) ogf] A176963 5.55492 [(2867*f(x)+2515)*(16*f(x)*x^3-16*f(x)*x^2-f(x)*x-8*x^2+f(x)-2*x-1) ogf] A176963 5.74812 [{a(n+3)-a(n+2)-16*a(n+1)+16*a(n),a(0)=1,a(1)=3,a(2)=27} ogf] A176963 9.53415 [-(-3-48*x+128*x^4+24*x^2+64*x^3)/(x-1)/(4*x+1)/(4*x-1)/(8*x^2+2*x+1) lgdogf] A176964 4.97649 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-2*x^3-2*f(x)*x+4*x^2+f(x)-1 ogf] A176965 11.9799 [(2*x^2-x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A176965 12.2082 [-2*x*(-6+4*x^3-4*x^2+9*x)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-x+1) lgdogf] A176965 6.14093 [-(334*f(x)+395)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x-2*x^2+f(x)+x-1) ogf] A176965 6.58352 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=0,a(2)=6} ogf] A176966 4.69145 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-3*x^3-2*f(x)*x+6*x^2+f(x)-x-1 ogf] A176967 4.46226 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-4*x^3-2*f(x)*x+8*x^2+f(x)-2*x-1 ogf] A176968 5.96982 [-(9*f(x)+8)*(12*f(x)*x^4-9*f(x)*x^2+6*x^3+x^2+f(x)-2*x-1) ogf] A176968 8.60580 [-2*(1+8*x-24*x^3-9*x^4+12*x^5+36*x^6)/(6*x^3+x^2-2*x-1)/(12*x^4-9*x^2+1) lgdogf] A176968 9.58789 [-(6*x^3+x^2-2*x-1)/(12*x^4-9*x^2+1) ogf] A176971 11.6491 [-(x+1)/(x^3-x-1) ogf] A176971 21.6558 [-x^2*(2*x+3)/(x+1)/(x^3-x-1) lgdogf] A176971 5.69795 [{-a(n+3)-a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A176971 8.32081 [f(x)*x^3-f(x)*x-f(x)+x+1 ogf] A176972 10.2176 [-(15-127*x+329*x^2+287*x^3)/(x-1)/(7*x-1)/(41*x^2+3*x-2) lgdogf] A176972 4.71103 [(682164*f(x)+1964381)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x-41*x^2-f(x)-3*x+2) ogf] A176972 5.07971 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=2,a(1)=15,a(2)=64} ogf] A176972 9.27249 [(41*x^2+3*x-2)/(7*x-1)/(x-1)^2 ogf] A176974 8.48252 [-(x^7+x^6-x^5-x^4-5*x^3-7*x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A176981 11.3726 [(2*x^2+2*x-1)/(x^2+2*x-1) ogf] A176981 19.5303 [2*x*(x-1)/(2*x^2+2*x-1)/(x^2+2*x-1) lgdogf] A176981 5.96779 [{-a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=0,a(2)=-1} ogf] A176981 6.21388 [-(f(x)+1)*(f(x)*x^2+2*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A176995 5.32491 [-(x^13+x^12+x^11+x^10-x^9-x^8-x^7-x^6-x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A177002 13.6756 [-(2*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A177002 8.85808 [{-a(n+4)+a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=2} ogf] A177002 9.27989 [(4*f(x)-11)*(f(x)*x^4+2*x^3+4*x^2-f(x)+2*x+1) ogf] A177010 11.8575 [f(x)*x^2-f(x)^2-2*f(x)*x-4*x^2+f(x) ogf] A177010 23.0154 [(x-1+(x^2-6*x+1)^(1/2))/(x^2-6*x+1)^(1/2)/x lgdogf] A177010 4.45377 [{(n^2-2*n)*a(n)+(-7*n^2+2*n+3)*a(n+1)+(7*n^2+16*n+6)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=1,a(1)=-2,a(2)=-3} ogf] A177013 2.50726 [(f(x)*x-f(x)+3)^2 ogf] A177019 2.80213 [(2965607733*f(x)-753877039)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1330*x^2-f(x)-446*x+7) ogf] A177019 3.13572 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=7,a(1)=331,a(2)=30301} ogf] A177019 5.33920 [-(1330*x^2-446*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A177022 10.3260 [{-a(n+4)+a(n+3),a(0)=1,a(1)=3,a(2)=6,a(3)=1} ogf] A177022 10.7749 [-(190*f(x)-3259)*(-5*x^3+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A177022 18.7036 [(5*x^3-3*x^2-2*x-1)/(x-1) ogf] A177022 20.6953 [(3+6*x-18*x^2+10*x^3)/(x-1)/(5*x^3-3*x^2-2*x-1) lgdogf] A177044 14.1200 [(38*x^2+27*x+38)/(x-1)^2/(x+1) ogf] A177044 16.4450 [-(65+217*x+38*x^3+92*x^2)/(x-1)/(x+1)/(38*x^2+27*x+38) lgdogf] A177044 7.17204 [-(1375*f(x)+297577)*(f(x)*x^3-f(x)*x^2-f(x)*x-38*x^2+f(x)-27*x-38) ogf] A177044 7.79032 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=38,a(1)=65,a(2)=141} ogf] A177046 14.1078 [(16*x^2+95*x+16)/(x-1)^2/(x+1) ogf] A177046 15.8453 [-(111+175*x+16*x^3+206*x^2)/(x-1)/(x+1)/(16*x^2+95*x+16) lgdogf] A177046 7.40084 [(2449*f(x)+408303)*(f(x)*x^3-f(x)*x^2-f(x)*x-16*x^2+f(x)-95*x-16) ogf] A177046 7.71711 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=16,a(1)=111,a(2)=143} ogf] A177049 4.68869 [-(x^2+4*x+1)*(x^6-2*x^5+12*x^4-13*x^3+12*x^2-2*x+1)/(x-1)^3/(x^2+1)^3 ogf] A177056 12.2382 [(5*x^6+2*x^5-4*x^4-6*x^3-8*x^2-5*x-1)/(x-1)/(x^2+x+1) ogf] A177056 9.00627 [(5+16*x-4*x^6-30*x^5+15*x^8+4*x^7-2*x^4+21*x^2+26*x^3)/(x-1)/(x^2+x+1)/(5*x^6+2*x^5-4*x^4-6*x^3-8*x^2-5*x-1) lgdogf] A177057 11.8011 [{-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=6} ogf] A177057 12.8739 [-(11*f(x)-10)*(f(x)*x+5*x^2-f(x)+1) ogf] A177057 24.1779 [-(5*x^2+1)/(x-1) ogf] A177057 31.3767 [(-1-10*x+5*x^2)/(x-1)/(5*x^2+1) lgdogf] A177058 16.5873 [-(1-7*x+29*x^2+x^3)/(x-1)/(x^3+13*x^2-11*x+3) lgdogf] A177058 3.92522 [{(95*n^2+427*n+474)*a(n+1)+(278*n^2+1888*n+2346)*a(n+2)+(-373*n^2-911*n+624)*a(n+3),a(0)=3,a(1)=1,a(2)=-1} ogf] A177058 5.15353 [-(114*f(x)+295)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-13*x^2+f(x)+11*x-3) ogf] A177058 9.58947 [(x^3+13*x^2-11*x+3)/(x-1)^4 ogf] A177059 12.2906 [-2*(3*x^2+19*x+3)/(x-1)^3 ogf] A177059 20.7602 [-(x+14)*(3*x+2)/(x-1)/(3*x^2+19*x+3) lgdogf] A177059 6.56914 [(61*f(x)-1518)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+38*x+6) ogf] A177059 6.62626 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=56,a(2)=156} ogf] A177060 11.5662 [-2*(5*x^2+39*x+5)/(x-1)^3 ogf] A177060 19.6161 [-(54+88*x+5*x^2)/(x-1)/(5*x^2+39*x+5) lgdogf] A177060 6.32683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=108,a(2)=304} ogf] A177060 6.97136 [(30*f(x)-1507)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+78*x+10) ogf] A177065 11.2545 [-(15*x^2+98*x+15)/(x-1)^3 ogf] A177065 16.8084 [-(143+226*x+15*x^2)/(x-1)/(15*x^2+98*x+15) lgdogf] A177065 6.15631 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=143,a(2)=399} ogf] A177065 6.91665 [(625*f(x)-40002)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+98*x+15) ogf] A177071 11.5662 [-2*(x+6)*(6*x+1)/(x-1)^3 ogf] A177071 20.1610 [-(55+86*x+6*x^2)/(x-1)/(x+6)/(6*x+1) lgdogf] A177071 6.32683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=110,a(2)=306} ogf] A177071 6.85517 [(239*f(x)-11610)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+74*x+12) ogf] A177072 11.2467 [-2*(7*x^2+67*x+7)/(x-1)^3 ogf] A177072 18.8606 [-(88+148*x+7*x^2)/(x-1)/(7*x^2+67*x+7) lgdogf] A177072 6.24819 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=176,a(2)=500} ogf] A177072 6.81241 [(199*f(x)-16946)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+134*x+14) ogf] A177073 11.2467 [-2*(10*x^2+61*x+10)/(x-1)^3 ogf] A177073 17.4806 [-(91+142*x+10*x^2)/(x-1)/(10*x^2+61*x+10) lgdogf] A177073 6.24819 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=182,a(2)=506} ogf] A177073 6.81241 [(395*f(x)-31666)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+122*x+20) ogf] A177074 10.7662 [15*(8*x+1)/(10*x-1)/(x-1) ogf] A177074 10.9787 [-1/20*(-15-11*x+3*(25+90*x+9*x^2)^(1/2))/(-12+x) revogf] A177074 12.8531 [-(-19+20*x+80*x^2)/(x-1)/(8*x+1)/(10*x-1) lgdogf] A177074 5.78829 [(63*f(x)+860)*(10*f(x)*x^2-11*f(x)*x+f(x)-120*x-15) ogf] A177074 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=15,a(1)=285} ogf] A177075 6.33049 [(x^5+25*x^4+62*x^3+38*x^2-7*x+1)/(x-1)^6 ogf] A177075 9.44347 [-(-1+41*x+x^5+55*x^4+338*x^2+286*x^3)/(x-1)/(x^5+25*x^4+62*x^3+38*x^2-7*x+1) lgdogf] A177079 10.3329 [-1/20*(-35-11*x+(1225+1170*x+81*x^2)^(1/2))/(-10+x) revogf] A177079 10.7662 [5*(20*x+7)/(10*x-1)/(x-1) ogf] A177079 11.9768 [-(-97+140*x+200*x^2)/(x-1)/(20*x+7)/(10*x-1) lgdogf] A177079 5.6074 [(927*f(x)+14600)*(10*f(x)*x^2-11*f(x)*x+f(x)-100*x-35) ogf] A177079 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=35,a(1)=485} ogf] A177080 10.7546 [-1/20*(-15-11*x+3*(25+170*x+9*x^2)^(1/2))/(-30+x) revogf] A177080 10.7662 [15*(20*x+1)/(10*x-1)/(x-1) ogf] A177080 12.2553 [-(-31+20*x+200*x^2)/(x-1)/(20*x+1)/(10*x-1) lgdogf] A177080 5.66643 [(107*f(x)+3200)*(10*f(x)*x^2-11*f(x)*x+f(x)-300*x-15) ogf] A177080 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=15,a(1)=465} ogf] A177090 10.5041 [12*x/(100*x-1)/(x-1) ogf] A177090 14.9475 [-(-101+200*x)/(100*x-1)/(x-1) lgdogf] A177090 5.12990 [{a(n+2)-101*a(n+1)+100*a(n),a(0)=0,a(1)=12} ogf] A177090 7.22461 [-1/200*(-101*x-12+(4+27*x)^(1/2)*(121*x+12)^(1/2)*3^(1/2))/x revogf] A177090 9.64743 [-100*f(x)*x^2+101*f(x)*x-f(x)+12*x ogf] A177095 11.8075 [(63*x+1)/(9*x-1)/(x-1) ogf] A177095 12.0753 [-1/18*(-1-10*x+(1+272*x+64*x^2)^(1/2))/(-7+x) revogf] A177095 12.6370 [-(-73+18*x+567*x^2)/(-1+x)/(63*x+1)/(9*x-1) lgdogf] A177095 6.03208 [(712*f(x)+4617)*(9*f(x)*x^2-10*f(x)*x+f(x)-63*x-1) ogf] A177095 6.60656 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=1,a(1)=73} ogf] A177096 10.5395 [-1/20*(-40-11*x+(1600+1080*x+81*x^2)^(1/2))/(-5+x) revogf] A177096 10.9859 [10*(5*x+4)/(10*x-1)/(x-1) ogf] A177096 12.8531 [-(-49+80*x+50*x^2)/(x-1)/(5*x+4)/(10*x-1) lgdogf] A177096 5.72671 [(459*f(x)+5650)*(10*f(x)*x^2-11*f(x)*x+f(x)-50*x-40) ogf] A177096 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=40,a(1)=490} ogf] A177097 10.5395 [-1/20*(-30-11*x+3*(100+180*x+9*x^2)^(1/2))/(-24+x) revogf] A177097 10.7662 [30*(8*x+1)/(10*x-1)/(x-1) ogf] A177097 12.8531 [-(-19+20*x+80*x^2)/(x-1)/(8*x+1)/(10*x-1) lgdogf] A177097 5.72671 [(63*f(x)+1720)*(10*f(x)*x^2-11*f(x)*x+f(x)-240*x-30) ogf] A177097 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=30,a(1)=570} ogf] A177098 10.7546 [-1/20*(-18-11*x+3*(36+204*x+9*x^2)^(1/2))/(-36+x) revogf] A177098 10.7662 [18*(20*x+1)/(10*x-1)/(x-1) ogf] A177098 12.2553 [-(-31+20*x+200*x^2)/(x-1)/(20*x+1)/(10*x-1) lgdogf] A177098 5.66643 [(107*f(x)+3840)*(10*f(x)*x^2-11*f(x)*x+f(x)-360*x-18) ogf] A177098 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=18,a(1)=558} ogf] A177099 18.5487 [-(79*x+83)/(x-1)^3 ogf] A177099 34.6537 [-2*(164+79*x)/(79*x+83)/(x-1) lgdogf] A177099 8.03296 [(10252874700*f(x)-1136781408731)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+79*x+83) ogf] A177099 8.71949 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=83,a(1)=328,a(2)=735} ogf] A177100 21.6747 [-x^9+x^8+x^4+3 ogf_with_Euler_transform] A177100 8.39609 [x^3*(x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^4 ogf] A177107 10.9281 [9*(20*x+1)/(10*x-1)/(x-1) ogf] A177107 11.1520 [-1/20*(-9-11*x+3*(9+102*x+9*x^2)^(1/2))/(-18+x) revogf] A177107 12.1894 [-(-31+20*x+200*x^2)/(x-1)/(1+20*x)/(10*x-1) lgdogf] A177107 5.69657 [(107*f(x)+1920)*(10*f(x)*x^2-11*f(x)*x+f(x)-180*x-9) ogf] A177107 6.22648 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=9,a(1)=279} ogf] A177108 10.9787 [-1/20*(-28-11*x+(784+936*x+81*x^2)^(1/2))/(-8+x) revogf] A177108 10.9859 [4*(20*x+7)/(10*x-1)/(x-1) ogf] A177108 11.9768 [-(-97+140*x+200*x^2)/(x-1)/(20*x+7)/(10*x-1) lgdogf] A177108 5.66643 [(927*f(x)+11680)*(10*f(x)*x^2-11*f(x)*x+f(x)-80*x-28) ogf] A177108 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=28,a(1)=388} ogf] A177109 10.5395 [-1/20*(-20-11*x+(400+1080*x+81*x^2)^(1/2))/(-16+x) revogf] A177109 10.7662 [20*(8*x+1)/(10*x-1)/(x-1) ogf] A177109 12.8531 [-(-19+20*x+80*x^2)/(x-1)/(8*x+1)/(10*x-1) lgdogf] A177109 5.66643 [(189*f(x)+3440)*(10*f(x)*x^2-11*f(x)*x+f(x)-160*x-20) ogf] A177109 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=20,a(1)=380} ogf] A177110 6.36766 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+3*x-1 ogf] A177111 4.50744 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*x^3+2*f(x)*x-3*x^2-f(x)-2*x+1 ogf] A177112 10.7546 [-1/20*(-12-11*x+3*(16+136*x+9*x^2)^(1/2))/(-24+x) revogf] A177112 10.7662 [12*(20*x+1)/(10*x-1)/(x-1) ogf] A177112 12.2553 [-(-31+20*x+200*x^2)/(x-1)/(20*x+1)/(10*x-1) lgdogf] A177112 5.66643 [(107*f(x)+2560)*(10*f(x)*x^2-11*f(x)*x+f(x)-240*x-12) ogf] A177112 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=12,a(1)=372} ogf] A177113 4.45845 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+3*x^3+2*f(x)*x-5*x^2-f(x)-x+1 ogf] A177114 10.9197 [-1/20*(-4-11*x+(16+1368*x+81*x^2)^(1/2))/(-32+x) revogf] A177114 10.9281 [4*(80*x+1)/(10*x-1)/(x-1) ogf] A177114 12.1894 [-(20*x+7)*(40*x-13)/(x-1)/(80*x+1)/(10*x-1) lgdogf] A177114 5.6366 [(981*f(x)+29200)*(10*f(x)*x^2-11*f(x)*x+f(x)-320*x-4) ogf] A177114 6.22648 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=4,a(1)=364} ogf] A177115 4.9406 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-4*x^3-2*f(x)*x+7*x^2+f(x)-1 ogf] A177116 13.5572 [x^10-x^9-x^5+x^4+x^2+x+2 ogf_with_Euler_transform] A177116 6.07922 [x^3*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A177117 4.47928 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+5*x^3+2*f(x)*x-9*x^2-f(x)+x+1 ogf] A177118 4.72664 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-6*x^3-2*f(x)*x+11*x^2+f(x)-2*x-1 ogf] A177122 4.28064 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+3*x^3+2*f(x)*x-6*x^2-f(x)+3*x+1 ogf] A177123 4.37221 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-4*x^3-2*f(x)*x+8*x^2+f(x)-4*x-1 ogf] A177124 4.49862 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-5*x^3-2*f(x)*x+10*x^2+f(x)-5*x-1 ogf] A177125 4.56678 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-6*x^3-2*f(x)*x+12*x^2+f(x)-6*x-1 ogf] A177126 4.65766 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-7*x^3-2*f(x)*x+14*x^2+f(x)-7*x-1 ogf] A177127 6.29429 [f(x)^2*x^2-f(x)^2*x-f(x)*x+4*x^2+f(x)-4*x-1 ogf] A177128 6.49954 [f(x)^2*x^2-f(x)^2*x-f(x)*x+5*x^2+f(x)-5*x-1 ogf] A177129 6.67058 [f(x)^2*x^2-f(x)^2*x-f(x)*x+6*x^2+f(x)-6*x-1 ogf] A177130 6.80742 [-f(x)^2*x^2+f(x)^2*x+f(x)*x-7*x^2-f(x)+7*x+1 ogf] A177131 6.94425 [-f(x)^2*x^2+f(x)^2*x+f(x)*x-8*x^2-f(x)+8*x+1 ogf] A177140 4.45038 [-(71822209*f(x)+581400)*(7*f(x)*x^4+15*f(x)*x^3-14*f(x)*x^2+2*x^3-3*f(x)*x+x^2+f(x)-4*x-1) ogf] A177142 5.52424 [-(-11-54*x+352*x^7-50*x^6+36*x^2+872*x^3+x^4-714*x^5)/(x+1)/(8*x^2-5*x-1)/(22*x^5-31*x^4-69*x^3+30*x^2+5*x-1) lgdogf] A177142 6.90028 [(x+1)*(8*x^2-5*x-1)/(22*x^5-31*x^4-69*x^3+30*x^2+5*x-1) ogf] A177143 10.4417 [-(x^3+x^2-2*x-1)/(2*x-1)/(x-1)/(x+1)^2 ogf] A177143 12.9493 [-(3+x+2*x^5+2*x^4-10*x^3)/(x-1)/(2*x-1)/(x+1)/(x^3+x^2-2*x-1) lgdogf] A177143 4.08127 [{(2*n+8)*a(n+1)+(-n-6)*a(n+2)+(-2*n-5)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=3,a(2)=5,a(3)=12} ogf] A177143 5.50692 [-(601*f(x)-1031)*(2*f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x+x^2+f(x)-2*x-1) ogf] A177145 11.4395 [-f(x)^2*x^2+f(x)^2-1 egf] A177145 38.8645 [-x/(x-1)/(x+1) lgdegf] A177145 4.81103 [{(n^2+4*n+4)*a(n+1)-a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A177145 90.6838 [sin(x) revegf] A177146 12.1669 [-(10+30*x+25*x^2+6*x^3)/(x+2)/(x+1)/(x^2+2*x+2) lgdegf] A177146 4.95041 [{(n^2+11*n+30)*a(n+1)+(2*n+12)*a(n+2)+2*a(n+3),a(0)=0,a(1)=-3,a(2)=15} ogf] A177146 6.08314 [-24*x*(x+2)*(x+1)/(x^2+2*x+2)^4 egf] A177154 11.8619 [-(3+4*x+6*x^6+12*x^5+2*x^7+20*x^4+3*x^2)/(x-1)/(x^3+2*x^2+3*x+4)/(x^4+x^3+x^2+x+1) lgdogf] A177154 14.6485 [-2*x*(x^3+2*x^2+3*x+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A177162 6.91143 [f(x)^2*x^2-f(x)^2*x-f(x)*x+6*x^2+f(x)-4*x-1 ogf] A177163 6.46533 [f(x)^2*x^2-f(x)^2*x-f(x)*x+7*x^2+f(x)-5*x-1 ogf] A177165 6.60217 [f(x)^2*x^2-f(x)^2*x-f(x)*x+8*x^2+f(x)-6*x-1 ogf] A177166 6.77321 [f(x)^2*x^2-f(x)^2*x-f(x)*x+9*x^2+f(x)-7*x-1 ogf] A177167 6.86709 [f(x)^2*x^2-f(x)^2*x-f(x)*x+10*x^2+f(x)-8*x-1 ogf] A177168 6.91143 [f(x)^2*x^2-f(x)^2*x-f(x)*x+7*x^2+f(x)-4*x-1 ogf] A177169 6.39692 [f(x)^2*x^2-f(x)^2*x-f(x)*x+8*x^2+f(x)-5*x-1 ogf] A177170 6.56796 [f(x)^2*x^2-f(x)^2*x-f(x)*x+9*x^2+f(x)-6*x-1 ogf] A177171 6.69795 [f(x)^2*x^2-f(x)^2*x-f(x)*x+10*x^2+f(x)-7*x-1 ogf] A177172 6.83326 [f(x)^2*x^2-f(x)^2*x-f(x)*x+11*x^2+f(x)-8*x-1 ogf] A177175 4.21197 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-5*x^3-2*f(x)*x+8*x^2+f(x)-3*x-1 ogf] A177176 13.1285 [-x^13+x^12+x^6-x^5+x^2+x+2 ogf_with_Euler_transform] A177176 5.89774 [x^3*(x+1)*(x^2-x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A177177 4.31686 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-6*x^3-2*f(x)*x+10*x^2+f(x)-4*x-1 ogf] A177178 4.45318 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-7*x^3-2*f(x)*x+12*x^2+f(x)-5*x-1 ogf] A177179 4.52134 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-8*x^3-2*f(x)*x+14*x^2+f(x)-6*x-1 ogf] A177180 4.63494 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-9*x^3-2*f(x)*x+16*x^2+f(x)-7*x-1 ogf] A177181 4.52123 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-7*x^3-2*f(x)*x+12*x^2+f(x)-3*x-1 ogf] A177182 4.2487 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-8*x^3-2*f(x)*x+14*x^2+f(x)-4*x-1 ogf] A177183 4.33958 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-9*x^3-2*f(x)*x+16*x^2+f(x)-5*x-1 ogf] A177184 4.4653 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-10*x^3-2*f(x)*x+18*x^2+f(x)-6*x-1 ogf] A177185 4.55551 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-11*x^3-2*f(x)*x+20*x^2+f(x)-7*x-1 ogf] A177187 13.6048 [-(-1-18*x+2*x^5+3*x^4+4*x^3-8*x^2)/(1+x^2+x)/(x^4-8*x^2+1) lgdogf] A177187 14.0822 [(x^2+x+1)/(x^4-8*x^2+1) ogf] A177187 7.94735 [-(1118*f(x)+81)*(f(x)*x^4-8*f(x)*x^2-x^2+f(x)-x-1) ogf] A177189 18.5105 [-x^9+x^7+x^4+x+2 ogf_with_Euler_transform] A177189 6.40987 [x^3*(x^4-x^3+x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A177189 6.83643 [-(2+2*x-5*x^10+11*x^7+7*x^11+4*x^3+3*x^4+3*x^5+9*x^9+3*x^6-7*x^8)/(x-1)/(x+1)/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+1) lgdogf] A177197 4.59043 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-5*x^3-2*f(x)*x+10*x^2+f(x)-3*x-1 ogf] A177198 4.27142 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-6*x^3-2*f(x)*x+12*x^2+f(x)-4*x-1 ogf] A177199 4.38502 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-7*x^3-2*f(x)*x+14*x^2+f(x)-5*x-1 ogf] A177200 4.49862 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-8*x^3-2*f(x)*x+16*x^2+f(x)-6*x-1 ogf] A177203 4.61222 [-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2-9*x^3-2*f(x)*x+18*x^2+f(x)-7*x-1 ogf] A177206 11.4164 [-(15-18*x+3*x^4+24*x^2-14*x^3)/(x-1)/(3*x^4-13*x^3+21*x^2-15*x+6) lgdogf] A177206 7.72060 [-(3*x^4-13*x^3+21*x^2-15*x+6)/(x-1)^5 ogf] A177239 11.5498 [-(2+6*x+6*x^2+6*x^3+11*x^4+9*x^5)/(-1+x)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A177239 25.3607 [[x^4+x+2] ogf_with_Euler_transform] A177239 9.59979 [x^4/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^4 ogf] A177265 3.26356 [{(n^2+9*n+20)*a(n+1)+(-5-n)*a(n+2)+(-n^2-9*n-19)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=12} ogf] A177274 10.2195 [-(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A177277 14.1615 [-x^13*(x-1)+x^4+x^2+2 ogf_with_Euler_transform] A177277 5.11986 [x^4*(x^8-x^7+x^5-x^4+x^3-x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^4 ogf] A177278 9.7549 [-(f(x)*x-f(x)+1)^3 egf] A177280 10.3852 [(f(x)*x-f(x)+1)^2 egf] A177281 10.7181 [(f(x)*x-f(x)+1)^2 egf] A177282 10.2710 [2*(-3+3*x+x^5-5*x^4+9*x^3-3*x^2)/(x-1)/(x^2+x-1)/(x^4-3*x^3+4*x^2-3*x-1) lgdogf] A177282 8.69727 [(x^5-2*x^4+3*x^3-5*x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A177332 4.47930 [x^4*(x^20-x^19+x^10+x^7+x^5+x^3+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^4 ogf] A177337 4.30511 [x^5*(x^10-x^9+x^7-x^6+x^5-x^4+x^3-x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^4 ogf] A177339 13.9001 [-x^11+x^10+x^5+x^3+2 ogf_with_Euler_transform] A177339 6.25349 [x^5*(x^4-x^2+1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A177342 17.7817 [-(9+17*x+5*x^2+x^3)/(x-1)/(x^3+x^2+5*x+1) lgdogf] A177342 3.89373 [{(-29*n^2-118*n-120)*a(n+1)+(-42*n^2-561*n-1170)*a(n+2)+(71*n^2+379*n+498)*a(n+3),a(0)=1,a(1)=9,a(2)=31} ogf] A177342 5.09386 [(82048*f(x)+167795)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-5*x-1) ogf] A177342 9.65848 [(x^3+x^2+5*x+1)/(x-1)^4 ogf] A177358 3.55658 [-(12*x^6-10*x^5-10*x^4+50*x^3+12*x^2-10*x-1)/(108*x^7-84*x^6-532*x^5+178*x^4+280*x^3-66*x^2-8*x+1) ogf] A177369 3.73197 [-(101*f(x)+46)*(4*f(x)*x^3-4*f(x)*x^2-3*f(x)*x+4*x^2+f(x)-4*x-1) ogf] A177369 3.89710 [{a(n+3)-3*a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=7,a(2)=21} ogf] A177369 7.21921 [-(4*x^2-4*x-1)/(4*x^3-4*x^2-3*x+1) ogf] A177369 7.26084 [-(7+16*x^4-32*x^3+16*x^2)/(4*x^2-4*x-1)/(4*x^3-4*x^2-3*x+1) lgdogf] A177370 4.58477 [(911*f(x)+241)*(6*f(x)*x^3-8*f(x)*x^2-4*f(x)*x+6*x^2+f(x)-7*x-1) ogf] A177370 4.62498 [{a(n+3)-4*a(n+2)-8*a(n+1)+6*a(n),a(0)=1,a(1)=11,a(2)=46} ogf] A177370 8.05102 [-(11+4*x+36*x^4-84*x^3+62*x^2)/(6*x^2-7*x-1)/(6*x^3-8*x^2-4*x+1) lgdogf] A177370 8.64341 [-(6*x^2-7*x-1)/(6*x^3-8*x^2-4*x+1) ogf] A177371 7.50781 [-(8*x^4-24*x^2+12*x+1)/(2*x^2-2*x-1)/(4*x^3+4*x^2-8*x+1) ogf] A177373 27.4609 [-2*(x+1)/(2*x-1)/(1+2*x) lgdegf] A177373 5.24253 [{(4*n^2+14*n+12)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=6} ogf] A177412 10.7217 [{a(n+2)-a(n+1)-a(n),a(0)=14831,a(1)=41069} ogf] A177412 16.6880 [1/2/(26238+x)*(-14831-x+(219958561+134614*x+5*x^2)^(1/2)) revogf] A177412 18.2066 [-(26238*x+14831)/(x^2+x-1) ogf] A177412 18.2926 [-(41069+29662*x+26238*x^2)/(26238*x+14831)/(x^2+x-1) lgdogf] A177412 9.19 [(70731*f(x)+637651300)*(f(x)*x^2+f(x)*x-f(x)+26238*x+14831) ogf] A177467 3.46766 [(567073245*f(x)+43146334)*(7*f(x)*x^4+15*f(x)*x^3-14*f(x)*x^2-3*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A177467 6.17869 [-(-5-34*x+42*x^5+87*x^4+88*x^3+26*x^2)/(3*x^2+2*x+1)/(7*x^4+15*x^3-14*x^2-3*x+1) lgdogf] A177467 7.13068 [(3*x^2+2*x+1)/(7*x^4+15*x^3-14*x^2-3*x+1) ogf] A177468 6.72374 [(8*x^3-12*x^2-x-1)/(22*x^5-31*x^4-69*x^3+30*x^2+5*x-1) ogf] A177469 5.43840 [(30*x^5-8*x^4-72*x^3+38*x^2-x+1)/(108*x^7-84*x^6-532*x^5+178*x^4+280*x^3-66*x^2-8*x+1) ogf] A177485 8.76142 [-(x^5+x^3+x+1)/(x^3-x^2+1)/(x^3+x-1) ogf] A177499 10.148 [-(5*f(x)+14483)*(f(x)*x^4+16*x^3+4*x^2-f(x)+16*x+1) ogf] A177499 11.2932 [-4*(4+2*x+4*x^6+2*x^5+12*x^4+12*x^2+x^3)/(x-1)/(x+1)/(x^2+1)/(16*x^3+4*x^2+16*x+1) lgdogf] A177499 15.9960 [-(16*x^3+4*x^2+16*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A177534 4.60525 [(545653*x^12+791960649480*x^6+570546629452800)/(545653*x^12-112738471560*x^7+791960649480*x^6-570546629452800*x+570546629452800) egf] A177548 4.43880 [(24715079*x^12+1077925441320*x^6+194842442995200)/(24715079*x^12-498037218120*x^7+1077925441320*x^6-194842442995200*x+194842442995200) egf] A177550 4.77496 [(2529101*x^12+61185053020*x^6+2005850246400)/(2529101*x^12-25366298620*x^7+61185053020*x^6-2005850246400*x+2005850246400) egf] A177552 4.63421 [(9531649*x^12+272233130988*x^6+32871404966400)/(9531649*x^12-141791047788*x^7+272233130988*x^6-32871404966400*x+32871404966400) egf] A177682 5.39355 [-(259376*x^5-352284*x^4+88388*x^3+4020*x^2+318*x+179)/(x-1)/(2*x-1)/(4*x-1) ogf] A177683 3.08615 [-(3000245734839087875894276848*f(x)+41889345247090077008496172992827)*(116584*x^4+8*f(x)*x^2-50734*x^3-6*f(x)*x-6167*x^2+f(x)-441*x-191) ogf] A177683 6.78953 [-(116584*x^4-50734*x^3-6167*x^2-441*x-191)/(4*x-1)/(2*x-1) ogf] A177684 4.97786 [-3*(72816*x^5-86148*x^4+5914*x^3+7080*x^2+126*x+211)/(x-1)/(2*x-1)/(4*x-1) ogf] A177685 3.08971 [(53062025885170765872956*f(x)-178537953851981706877196149)*(21856*x^4+8*f(x)*x^2+60952*x^3-6*f(x)*x-35272*x^2+f(x)-1113*x-603) ogf] A177685 3.68225 [{-a(n+5)+6*a(n+4)-8*a(n+3),a(0)=603,a(1)=4731,a(2)=58834,a(3)=254204,a(4)=1032696} ogf] A177685 6.25127 [-(21856*x^4+60952*x^3-35272*x^2-1113*x-603)/(4*x-1)/(2*x-1) ogf] A177698 13.4648 [-f(x)^2*x^2-f(x)^2+x^2 egf] A177698 29.8510 [1/(-(x-1)*(1+x))^(1/2)*x revegf] A177698 59.7019 [-3*x/(1+x^2) lgdegf] A177698 7.94911 [{(n^2+2*n)*a(n)+a(n+2),a(0)=0,a(1)=1} ogf] A177702 13.0433 [{-a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A177702 13.2172 [(5*f(x)+7)*(f(x)*x^3+2*x^2-f(x)+x+1) ogf] A177702 20.2305 [-(2*x^2+x+1)/(x-1)/(x^2+x+1) ogf] A177702 20.2641 [-(x+1)*(2*x^3+3*x+1)/(x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A177704 11.2647 [{-a(n+4)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A177704 11.3942 [-(f(x)-1)*(f(x)*x^4+2*x^3+x^2-f(x)+x+1) ogf] A177704 13.1443 [-(1+2*x+2*x^6+2*x^5+3*x^4+6*x^2+4*x^3)/(x-1)/(x+1)/(x^2+1)/(2*x^3+x^2+x+1) lgdogf] A177704 17.3911 [-(2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A177706 10.3476 [-(1+2*x+3*x^6+4*x^5+2*x^8+2*x^7+5*x^4+3*x^2+8*x^3)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+x^3+x^2+x+1) lgdogf] A177706 10.7749 [(7*f(x)+16)*(f(x)*x^5+2*x^4+x^3+x^2-f(x)+x+1) ogf] A177706 15.2507 [-(2*x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A177711 7.51658 [(5+5*x+4*x^3-12*x^2+180*x^23-188*x^24+92*x^25+88*x^21-172*x^22)/(x-1)/(4*x^25-4*x^24+4*x^23-4*x^22+4*x^3-4*x^2+3*x-4) lgdogf] A177711 9.24159 [-(4*x^25-4*x^24+4*x^23-4*x^22+4*x^3-4*x^2+3*x-4)/(x-1)^2 ogf] A177727 8.15931 [-(-3-30*x+75*x^2-40*x^3-35*x^4+8*x^5)/(x-1)/(2*x-1)/(x^2+3*x+1)/(x^2-7*x+1) lgdogf] A177727 8.79052 [(2*x-1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A177728 5.09251 [-(45-620*x+57344*x^5+26784*x^3-78208*x^4-620*x^2)/(x-1)/(14*x+1)/(2*x-1)/(-1+4*x)/(8*x-1)/(16*x-1) lgdogf] A177728 8.07189 [-(14*x+1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A177730 11.0248 [(6*x+1)/(8*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A177730 5.16057 [(159714121*f(x)+53011696)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2-15*f(x)*x+f(x)-6*x-1) ogf] A177730 7.69480 [-(-21+140*x+1152*x^4-1184*x^3+60*x^2)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(6*x+1) lgdogf] A177747 38.9317 [-2*(1+5*x)/(x-1)/(x+1) lgdogf] A177747 41.2657 [[2+4*x] ogf_with_Euler_transform] A177747 6.45722 [{(n+3)*a(n+3)-2*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A177747 8.80530 [1/(x+1)^4/(x-1)^6 ogf] A177755 3.37338 [-2*x*(x^5+8*x^4+14*x^3+18*x^2+5*x+2)/(x+1)^3/(x-1)^5 ogf] A177769 13.2757 [-f(x)*x^2+2*f(x)*x-f(x)+111 ogf] A177769 23.1376 [111/(x-1)^2 ogf] A177769 24.0812 [444*x/(111+(12321+444*x)^(1/2))^2 revogf] A177769 61.9152 [[2] ogf_with_Euler_transform] A177769 9.41648 [{-a(n+2)+2*a(n+1)-a(n),a(0)=111,a(1)=222} ogf] A177769 99.3350 [-2/(x-1) lgdogf] A177787 11.4751 [(2*x^2-3*x+2)/(x-1)^4 ogf] A177787 22.8400 [-(5-5*x+4*x^2)/(x-1)/(2*x^2-3*x+2) lgdogf] A177787 3.95892 [{(2*n+8)*a(n+4)+(-20-5*n)*a(n+3)+(15+5*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=2,a(1)=5,a(2)=10,a(3)=18} ogf] A177787 6.13787 [(7*f(x)+4)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+3*x-2) ogf] A177790 5.33095 [f(x)^2*x^4-3*f(x)^2*x^3+f(x)^2*x^2-x^4+2*f(x)*x^2+3*x^3-6*f(x)*x-3*x^2+2*f(x)+2*x-2 ogf] A177795 5.13131 [-(13*f(x)+4)*(2*f(x)*x^5-3*f(x)*x^4+f(x)*x^3+4*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A177795 9.88252 [x*(x-1)^2/(2*x-1)/(x^4-x^3+2*x-1) ogf] A177824 6.97433 [-(5+2*x+3*x^12+30*x^10+48*x^7+35*x^8+8*x^11+18*x^2+8*x^3+5*x^4+6*x^9)/(x-1)/(x+1)/(x^5+2*x^4+6*x^3+x^2+5*x+6)/(x^2+1)/(x^4+1) lgdogf] A177824 9.63585 [-x^2*(x^5+2*x^4+6*x^3+x^2+5*x+6)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A177825 13.7177 [1/(x-1)/(x^4-x^3-1) ogf] A177843 3.25524 [-(185532165888562*f(x)+1320256127896136099)*(8*f(x)*x^3+28656*x^4-14*f(x)*x^2-30932*x^3+7*f(x)*x-2002*x^2-f(x)+3494*x+775) ogf] A177843 3.57283 [{a(n+5)-7*a(n+4)+14*a(n+3)-8*a(n+2),a(0)=775,a(1)=8919,a(2)=49581,a(3)=197469,a(4)=788157} ogf] A177843 6.23345 [-(28656*x^4-30932*x^3-2002*x^2+3494*x+775)/(x-1)/(2*x-1)/(4*x-1) ogf] A177844 4.45143 [{a(n+4)-6*a(n+3)+8*a(n+2),a(0)=279,a(1)=3996,a(2)=16008,a(3)=64784} ogf] A177844 4.45144 [(5378743*f(x)+15577719303)*(8*f(x)*x^2-704*x^3-6*f(x)*x+5736*x^2+f(x)-2322*x-279) ogf] A177844 6.29039 [4*(999-3984*x+4488*x^2-2112*x^3+1408*x^4)/(2*x-1)/(-1+4*x)/(704*x^3-5736*x^2+2322*x+279) lgdogf] A177844 7.96242 [(704*x^3-5736*x^2+2322*x+279)/(4*x-1)/(2*x-1) ogf] A177845 3.56241 [(35739821529689192+13337399157003*f(x))*(8*f(x)*x^3-14*f(x)*x^2+13088*x^3+7*f(x)*x-17360*x^2-f(x)+3494*x+775) ogf] A177845 3.92592 [{a(n+4)-7*a(n+3)+14*a(n+2)-8*a(n+1),a(0)=775,a(1)=8919,a(2)=34223,a(3)=133983} ogf] A177845 6.95313 [-(13088*x^3-17360*x^2+3494*x+775)/(x-1)/(2*x-1)/(4*x-1) ogf] A177846 5.19919 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=837,a(1)=7896,a(2)=32176} ogf] A177846 5.24645 [(1061*f(x)+3008619)*(8*f(x)*x^2-6*f(x)*x+8504*x^2+f(x)-2874*x-837) ogf] A177846 8.83332 [-8*(987-3800*x+3504*x^2)/(-1+2*x)/(-1+4*x)/(8504*x^2-2874*x-837) lgdogf] A177846 9.46082 [-(8504*x^2-2874*x-837)/(4*x-1)/(2*x-1) ogf] A177849 8.26078 [(x^50-x^30-x^25+x^5+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A177881 10.8194 [x^2/(3*x-1)/(x-1)/(x^2+1) ogf] A177881 12.5980 [-4*(-1+2*x+3*x^3-3*x^2)/(x-1)/(3*x-1)/(1+x^2) lgdogf] A177881 5.79217 [-3*f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A177883 10.6782 [-(8*x^5+x^4+2*x^3+7*x^2+5*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A177890 12.0168 [x*(12*x+1)/(x-1)^4 ogf] A177890 31.2817 [-4*(4+9*x)/(12*x+1)/(x-1) lgdogf] A177890 5.18372 [{(-2-n)*a(n+3)+(5-11*n)*a(n+2)+(36+12*n)*a(n+1),a(0)=0,a(1)=1,a(2)=16} ogf] A177890 5.46972 [-(26078390*f(x)+134538921)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-12*x^2+f(x)-x) ogf] A177898 17.4982 [-(3*x^2-5*x-1)/(x-1)^2/(x+1) ogf] A177898 22.3397 [-(-6-2*x-7*x^2+3*x^3)/(x-1)/(x+1)/(3*x^2-5*x-1) lgdogf] A177898 8.89495 [-(195*f(x)+1268)*(f(x)*x^3-f(x)*x^2-f(x)*x+3*x^2+f(x)-5*x-1) ogf] A177898 9.53027 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=4} ogf] A177949 10.9075 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15684,a(1)=15685} ogf] A177949 14.0574 [-1/2*(-15685-2*x+(246019225+4*x)^(1/2))/(15684+x) revogf] A177949 17.6619 [-2*(-7843+7842*x)/(x-1)/(15684*x-15685) lgdogf] A177949 18.5221 [-(15683*x-15684)/(x-1)^2 ogf] A177949 9.71954 [(2*f(x)+245987857)*(f(x)*x^2-2*f(x)*x+f(x)+15683*x-15684) ogf] A177964 14.1507 [(2*x^2+11*x+2)/(x-1)^2/(x+1) ogf] A177964 17.2234 [-(13+21*x+2*x^3+24*x^2)/(x-1)/(x+1)/(2*x^2+11*x+2) lgdogf] A177964 7.62906 [(27*f(x)+581)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-11*x-2) ogf] A177964 7.69598 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=13,a(2)=17} ogf] A178027 11.7866 [-f(x)*x^2+2*f(x)*x-f(x)+5291*x ogf] A178027 17.5678 [21164*x/(5291+(27994681+21164*x)^(1/2))^2 revogf] A178027 18.2693 [5291*x/(x-1)^2 ogf] A178027 55.7185 [[2] ogf_with_Euler_transform] A178027 8.69965 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=5291} ogf] A178027 90.0351 [-2/(x-1) lgdogf] A178069 15.4509 [-(2+6*x+x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A178069 24.8046 [-x^2+x+2 ogf_with_Euler_transform] A178069 4.50154 [(5*f(x)+530864197)*(f(x)*x^3-f(x)*x^2-f(x)*x-12345679*x^2+f(x)-12345679*x-12345679) ogf] A178069 4.73847 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=12345679,a(1)=24691358,a(2)=49382716} ogf] A178069 7.68556 [12345679*(x^2+x+1)/(x-1)^2/(x+1) ogf] A178072 7.49816 [-f(x)^2*x^3-2*f(x)^2*x+f(x)*x^2+2*f(x)*x+f(x)-1 ogf] A178073 16.3711 [-2*(5+11*x+3*x^2+x^3)/(x-1)/(x^3+x^2+5*x+1) lgdogf] A178073 3.84054 [{(-8*n^2-27*n-9)*a(n+1)+(-34*n^2-406*n-906)*a(n+2)+(42*n^2+233*n+321)*a(n+3),a(0)=1,a(1)=10,a(2)=41} ogf] A178073 8.25495 [-(x^3+x^2+5*x+1)/(x-1)^5 ogf] A178074 7.52237 [-f(x)^2*x^3-f(x)^2*x-2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A178076 6.27612 [-2*f(x)^2*x^3+2*f(x)^2*x-2*f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A178078 6.9733 [2*f(x)^2*x^3-3*f(x)^2*x-f(x)*x^2+3*f(x)*x+f(x)-1 ogf] A178080 6.9098 [2*f(x)^2*x^3+3*f(x)^2*x-f(x)*x^2-3*f(x)*x-f(x)+1 ogf] A178094 9.19482 [-(6*x^10+4*x^9+2*x^8+3*x^7+7*x^6+2*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A178113 6.16935 [-3*f(x)^2*x^4+f(x)^2*x^2-6*f(x)*x^3-3*f(x)*x^2+2*f(x)*x-4*x^2+f(x)-4*x-1 ogf] A178114 5.63154 [-f(x)^2*x^4+f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2+f(x)*x-f(x)+1 ogf] A178115 10.3646 [-(x^3-x^2+2*x-1)/(x^4+3*x^2+1) ogf] A178115 10.8040 [-(-2-4*x+x^6-2*x^5+3*x^2-4*x^3+3*x^4)/(x^3-x^2+2*x-1)/(x^4+3*x^2+1) lgdogf] A178115 6.29628 [-(30*f(x)-11)*(f(x)*x^4+3*f(x)*x^2+x^3-x^2+f(x)+2*x-1) ogf] A178134 4.57165 [-x*(5*x^5-5*x^4-10*x^3-6*x^2+1)/(x-1)/(x+1)/(5*x^2+x-1)/(5*x^4+x^2-1) ogf] A178141 5.79879 [-(1-4*x+2*x^4-2*x^3+12*x^2)/(x+1)/(x^2-x+1)/(2*x^2-x+4) lgdogf] A178141 9.48927 [-(2*x^5+x^4-4*x^3+2*x^2-x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A178142 12.7447 [-x*(5*x^2+5*x+2)/(x^2+x+1)/(x-1)/(x+1) ogf] A178142 13.3244 [-(3+10*x+10*x^5+20*x^4+11*x^2+18*x^3)/(x-1)/(x+1)/(x^2+x+1)/(5*x^2+5*x+2) lgdogf] A178142 6.7902 [-(50*f(x)+109)*(f(x)*x^4+f(x)*x^3+5*x^3-f(x)*x+5*x^2-f(x)+2*x) ogf] A178143 10.0631 [-x*(13*x^2+13*x+4)/(x^2+x+1)/(x-1)/(x+1) ogf] A178143 5.22657 [-(10478*f(x)+31717)*(f(x)*x^4+f(x)*x^3+13*x^3-f(x)*x+13*x^2-f(x)+4*x) ogf] A178143 8.24537 [-(9+26*x+26*x^5+52*x^4+42*x^3+25*x^2)/(-1+x)/(x+1)/(1+x^2+x)/(13*x^2+13*x+4) lgdogf] A178144 6.52943 [-x*(10*x^6+20*x^5+22*x^4+17*x^3+12*x^2+7*x+2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1) ogf] A178146 6.67429 [-x*(3*x^6+6*x^5+7*x^4+6*x^3+5*x^2+3*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1) ogf] A178147 5.34044 [-x*(38*x^6+76*x^5+80*x^4+55*x^3+30*x^2+17*x+4)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1) ogf] A178159 8.50300 [-(2*x^3-2*x+1)/(x^4+2*x^2-1)/(x^2+2*x-1)^2 ogf] A178205 11.3927 [-10*f(x)*x^3-f(x)*x+f(x)-1 ogf] A178205 22.7854 [-1/(10*x^3+x-1) ogf] A178205 26.8037 [-(1+30*x^2)/(-1+x+10*x^3) lgdogf] A178205 7.19539 [{-a(n+3)+a(n+2)+10*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A178208 11.5337 [-(21+112*x+4*x^3+73*x^2)/(-1+x)/(x+1)/(x^2+13*x+1) lgdogf] A178208 5.28341 [-4*x*(x+1)*(x^2+13*x+1)/(x-1)^7 ogf] A178218 10.6602 [-(x^3-3*x^2+3*x+1)/(x+1)/(x-1)^3 ogf] A178218 13.3331 [-(5+4*x+6*x^2-4*x^3+x^4)/(x-1)/(x+1)/(1+3*x-3*x^2+x^3) lgdogf] A178218 5.48921 [{(-n-5)*a(n+1)-2*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=5,a(2)=7} ogf] A178218 5.98011 [(181*f(x)-426)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-3*x^2-f(x)+3*x+1) ogf] A178219 13.3217 [-5*f(x)*x^4+4*f(x)*x^3+x^3-f(x) ogf] A178219 22.6829 [x^3/(5*x^4-4*x^3+1) ogf] A178219 29.2294 [-4*x^2*(-3+5*x)/(1-4*x^3+5*x^4) lgdogf] A178222 11.1750 [-2*x/(x+1)/(3*x-1)/(x-1)^2 ogf] A178222 17.6551 [-4*(-1+3*x^2)/(x-1)/(3*x-1)/(1+x) lgdogf] A178222 4.73819 [-(131*f(x)-135)*(3*f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2+4*f(x)*x-f(x)+2*x) ogf] A178223 10.1984 [(2+2*x+30*x^4-74*x^3+22*x^10+19*x^18+42*x^2-37*x^19+18*x^20-42*x^11+20*x^12)/(x-1)/(x^20-x^19+2*x^12-2*x^11+15*x^4-14*x^3-x^2-1) lgdogf] A178223 12.8497 [-(x^20-x^19+2*x^12-2*x^11+15*x^4-14*x^3-x^2-1)/(x-1)^2 ogf] A178242 5.26713 [x*(x^7-3*x^3-3*x^2+2*x-3)/(x-1)^3/(x^2+1)^3 ogf] A178242 7.02910 [-(-7+16*x+28*x^3-49*x^2-12*x^4+2*x^9+7*x^6-4*x^7+x^8-18*x^5)/(x-1)/(x^2+1)/(x^7-3*x^3-3*x^2+2*x-3) lgdogf] A178248 11.8626 [-(13*x-2)/(12*x-1)/(x-1) ogf] A178248 12.9731 [-(13-48*x+156*x^2)/(x-1)/(-1+12*x)/(13*x-2) lgdogf] A178248 5.99372 [-(121*f(x)-73)*(12*f(x)*x^2-13*f(x)*x+f(x)+13*x-2) ogf] A178248 6.69886 [{a(n+2)-13*a(n+1)+12*a(n),a(0)=2,a(1)=13} ogf] A178312 15.7126 [-2*(1+8*x+5*x^2+10*x^3)/(x-1)/(x+1)/(4*x^2+x+1) lgdogf] A178312 7.73105 [x*(4*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A178320 12.0514 [-1/(x^5-x^4-2*x^3+2*x^2+2*x-1) ogf] A178320 12.4715 [-(2+4*x+5*x^4-6*x^2-4*x^3)/(2*x^2-1+2*x-x^4-2*x^3+x^5) lgdogf] A178333 22.0557 [x-f(x) ogf] A178333 9.57136 [{-a(n+2),a(0)=0,a(1)=1} ogf] A178334 121.585 [-1/(x-1) lgdogf] A178334 13.8963 [{-a(n+2)+a(n+1),a(0)=0,a(1)=1} ogf] A178334 138.954 [x/(1+x) revogf] A178334 24.0644 [-f(x)*x+f(x)-x ogf] A178334 34.0221 [-x/(x-1) ogf] A178334 75.7393 [[1] ogf_with_Euler_transform] A178348 14.3360 [1/(1100*x-1)/(x-1) ogf] A178348 5.824 [(1210001*f(x)+2200)*(1100*f(x)*x^2-1101*f(x)*x+f(x)-1) ogf] A178348 6.14401 [{-a(n+2)+1101*a(n+1)-1100*a(n),a(0)=1,a(1)=1101} ogf] A178349 14.3360 [1/(1010*x-1)/(x-1) ogf] A178349 5.824 [(1020101*f(x)+2020)*(1010*f(x)*x^2-1011*f(x)*x+f(x)-1) ogf] A178349 6.14401 [{-a(n+2)+1011*a(n+1)-1010*a(n),a(0)=1,a(1)=1011} ogf] A178370 4.24080 [(x^8-2*x^7-4*x^6-8*x^5+9*x^4-46*x^3+7*x^2-4*x-7)/(x-1)^3/(x^2+1)^3 ogf] A178381 5.74643 [-(36*f(x)-41)*(5*f(x)*x^4-x^4-5*f(x)*x^2+2*x^3+3*x^2+f(x)-x-1) ogf] A178381 8.74127 [(1+4*x+10*x^6+20*x^5-x^2-16*x^3-5*x^4)/(x+1)/(x^3-3*x^2+1)/(5*x^4-5*x^2+1) lgdogf] A178381 9.05260 [(x+1)*(x^3-3*x^2+1)/(5*x^4-5*x^2+1) ogf] A178390 11.7545 [-(5+22*x+5*x^4+66*x^2+22*x^3)/(x-1)/(5*x^4+x^3+21*x^2-5*x+2) lgdogf] A178390 7.49351 [-(5*x^4+x^3+21*x^2-5*x+2)/(x-1)^5 ogf] A178392 14.5462 [-2*(-4-39*x-18*x^2+x^3)/(x-1)/(x+1)/(x^2-14*x+1) lgdogf] A178392 3.91818 [{(8*n^2+43*n+54)*a(n+1)+(-16*n^2-64*n-72)*a(n+2)+(8*n^2+21*n+10)*a(n+3),a(0)=0,a(1)=-1,a(2)=8} ogf] A178392 7.58357 [x*(x+1)*(x^2-14*x+1)/(x-1)^5 ogf] A178393 4.93507 [(9*x^9+640*x^8+15058*x^7+86866*x^6+156292*x^5+89386*x^4+14350*x^3+262*x^2+19*x-2)/(x-1)^10 ogf] A178396 13.9776 [1/(1000*x-1)/(11*x-1) ogf] A178396 5.70514 [(1000121*f(x)+22000)*(11000*f(x)*x^2-1011*f(x)*x+f(x)-1) ogf] A178396 6.07723 [{-a(n+2)+1011*a(n+1)-11000*a(n),a(0)=1,a(1)=1011} ogf] A178397 4.32054 [-(12030*f(x)-5257)*(7*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2-8*f(x)*x+2*x^2+f(x)-x) ogf] A178397 9.03988 [-x*(2*x-1)/(x-1)/(7*x-1)/(x^2+1) ogf] A178397 9.48293 [-2*(3-8*x+20*x^2-30*x^3+21*x^4)/(x-1)/(2*x-1)/(7*x-1)/(1+x^2) lgdogf] A178405 10.0252 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=12} ogf] A178405 17.9174 [-(10*x-11)/(x-1)^2 ogf] A178405 22.3071 [-1/2*(-11-2*x+(121+4*x)^(1/2))/(10+x) revogf] A178405 30.5689 [-2*(-6+5*x)/(x-1)/(10*x-11) lgdogf] A178405 9.56955 [(f(x)+61)*(f(x)*x^2-2*f(x)*x+f(x)+10*x-11) ogf] A178407 11.2154 [-1/202000*(-1-1101*x+(1+2202*x+808201*x^2)^(1/2))/x revogf] A178407 14.1385 [x/(1000*x-1)/(101*x-1) ogf] A178407 15.0522 [-(-1101+202000*x)/(1000*x-1)/(101*x-1) lgdogf] A178407 6.51325 [{a(n+2)-1101*a(n+1)+101000*a(n),a(0)=0,a(1)=1} ogf] A178407 8.65192 [-101000*f(x)*x^2+1101*f(x)*x-f(x)+x ogf] A178414 13.5767 [(x^3+7*x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A178414 15.1915 [-(3+18*x+x^4+12*x^2+14*x^3)/(x-1)/(x+1)/(x^3+7*x^2+3*x+1) lgdogf] A178414 8.09622 [-(177*f(x)+445)*(f(x)*x^4-2*f(x)*x^2-x^3-7*x^2+f(x)-3*x-1) ogf] A178414 8.32535 [{a(n+4)-2*a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=7} ogf] A178419 4.51110 [-x*(36*x^13+28*x^12+32*x^11+21*x^10+17*x^9+14*x^8+13*x^7+12*x^6+5*x^5+2*x^4-x^3-3*x^2-2*x-1)/(x-1)/(4*x^3-1) ogf] A178420 13.2744 [-x/(x+1)/(2*x-1)/(x-1)^2 ogf] A178420 21.0045 [-(-3-x+8*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A178420 3.60792 [{(-3-n)*a(n+4)+(7+2*n)*a(n+3)+(n+2)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=8} ogf] A178420 5.81442 [(171*f(x)-124)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+x) ogf] A178440 39.0780 [[2+6*x] ogf_with_Euler_transform] A178440 5.94467 [1/(x+1)^6/(x-1)^8 ogf] A178440 6.12081 [{(n+3)*a(n+3)-2*a(n+2)+(-15-n)*a(n+1),a(0)=1,a(1)=2,a(2)=9} ogf] A178441 7.89978 [1/(x^7-x^6-3*x^5+3*x^4+3*x^3-3*x^2-2*x+1) ogf] A178452 11.9173 [-x^2/(2*x-1)/(x^2+1)/(x-1)^2 ogf] A178452 14.6164 [-2*(-2+4*x-5*x^2+5*x^3)/(x-1)/(-1+2*x)/(x^2+1) lgdogf] A178455 11.7777 [-x^3/(2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A178455 15.1780 [-(-3+x-2*x^2+10*x^3)/(x-1)/(2*x-1)/(x^2+x+1) lgdogf] A178455 4.62986 [-(23*f(x)-12)*(2*f(x)*x^5-3*f(x)*x^4+f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-f(x)) ogf] A178457 10.1836 [-x^5*(x^6+x^3+x^2+1)/(2*x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A178459 15.8440 [-x^4/(2*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A178459 16.1081 [-(-3+x-4*x^4+x^3+x^2+14*x^5)/(x-1)/(2*x-1)/(x^4+x^3+x^2+x+1) lgdogf] A178460 7.02150 [-(-3+x-6*x^6+x^5+18*x^7+x^4+x^3+x^2)/(-1+x)/(2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A178460 8.74957 [-x^6/(2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A178465 6.48502 [-2*x^2*(x^5-2*x^4-x^3+x^2-2*x-3)/(x+1)^2/(x-1)^4 ogf] A178500 17.8084 [-10*x/(10*x-1) ogf] A178500 41.7992 [-10/(-1+10*x) lgdogf] A178500 45.2825 [1/10*ln(1+x) revegf] A178500 7.56248 [{-a(n+2)+10*a(n+1),a(0)=0,a(1)=10} ogf] A178500 9.05018 [-f(x)*(10*f(x)*x-f(x)+10*x) ogf] A178501 18.9426 [-x/(10*x-1) ogf] A178501 37.2962 [1/10*ln(1+10*x) revegf] A178501 46.6203 [-10/(10*x-1) lgdogf] A178501 7.89274 [{-a(n+2)+10*a(n+1),a(0)=0,a(1)=1} ogf] A178501 9.47128 [-f(x)*(10*f(x)*x-f(x)+x) ogf] A178502 6.99661 [-(3*x^32+18*x^31-21*x^30+9*x^14-7*x^13-2*x^12+3*x^6-3*x^5+3*x^2-3*x-1)/(x-1)^2 ogf] A178508 8.16669 [-(27*x^7+60*x^6+49*x^5+31*x^4+13*x^3+10*x^2+7*x+1)/(10*x^6-1) ogf] A178510 14.3828 [-1/4200*(-121*x-1+(6241*x^2+242*x+1)^(1/2))/x revogf] A178510 17.3173 [1/(100*x-1)/(21*x-1) ogf] A178510 19.6128 [-(-121+4200*x)/(100*x-1)/(21*x-1) lgdogf] A178510 7.07587 [(10441*f(x)+4200)*(2100*f(x)*x^2-121*f(x)*x+f(x)-1) ogf] A178510 7.39389 [{-a(n+2)+121*a(n+1)-2100*a(n),a(0)=1,a(1)=121} ogf] A178511 13.8480 [1/3800/x*(-81*x-1+(14161*x^2+162*x+1)^(1/2)) revogf] A178511 16.7606 [-1/(19*x+1)/(100*x-1) ogf] A178511 19.6552 [-(81+3800*x)/(19*x+1)/(100*x-1) lgdogf] A178511 6.45983 [-(10361*f(x)-3800)*(1900*f(x)*x^2+81*f(x)*x-f(x)+1) ogf] A178511 7.12808 [{-a(n+2)+81*a(n+1)+1900*a(n),a(0)=1,a(1)=81} ogf] A178512 10.3168 [-1/240*(-121*x-1+(14161*x^2+242*x+1)^(1/2))/x revogf] A178512 15.4752 [-(-121+240*x)/(120*x-1)/(-1+x) lgdogf] A178512 17.9317 [1/(120*x-1)/(x-1) ogf] A178512 7.2909 [(14401*f(x)+240)*(120*f(x)*x^2-121*f(x)*x+f(x)-1) ogf] A178512 7.53945 [{-a(n+2)+121*a(n+1)-120*a(n),a(0)=1,a(1)=121} ogf] A178513 12.5316 [1/(80*x-1)/(x-1) ogf] A178513 15.8647 [-(-81+160*x)/(80*x-1)/(x-1) lgdogf] A178513 4.98416 [(6401*f(x)+160)*(80*f(x)*x^2-81*f(x)*x+f(x)-1) ogf] A178513 5.16007 [{-a(n+2)+81*a(n+1)-80*a(n),a(0)=1,a(1)=81} ogf] A178513 9.96155 [-1/160*(-81*x-1+(6241*x^2+162*x+1)^(1/2))/x revogf] A178520 9.9367 [-f(x)*x^3-f(x)^2*x+x^2+f(x)-1 ogf] A178521 11.5296 [x^2*(x+3)/(x^2+x-1)^2 ogf] A178521 25.4314 [-(7+13*x+3*x^2)/(x+3)/(x^2+x-1) lgdogf] A178521 4.62524 [{(n^2+6*n+8)*a(n+1)+(n^2+5*n+7)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A178521 5.80687 [-(625*f(x)+742)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x-3*x^2+f(x)) ogf] A178523 11.1774 [-2*x^2/(x-1)/(x^2+x-1)^2 ogf] A178523 23.2699 [-(-3-x+5*x^2)/(x-1)/(x^2+x-1) lgdogf] A178523 3.83044 [{(-n-4)*a(n+1)+a(n+2)+(2*n+5)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=6} ogf] A178523 5.6384 [-(7*f(x)-9)*(f(x)*x^5+f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x+2*x^2-f(x)) ogf] A178525 12.7558 [-(-8-4*x+3*x^4+17*x^2-5*x^3)/(x-1)/(x^2-x+3)/(x^2+x-1) lgdogf] A178525 8.18594 [-x^2*(x^2-x+3)/(x-1)/(x^2+x-1)^2 ogf] A178529 3.71615 [{(-256*n^2-640*n-396)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=12} ogf] A178529 9.25394 [hypergeom([1/8,3/8],[1],256*x) ogf] A178543 13.3220 [-x/(3*x-1)/(x^2+1) ogf] A178543 19.6572 [-(3-2*x+9*x^2)/(3*x-1)/(1+x^2) lgdogf] A178543 5.40081 [{-a(n+3)+3*a(n+2)-a(n+1)+3*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A178543 7.78558 [3*f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+x ogf] A178572 14.1791 [-(14*x+11)/(x-1)^3 ogf] A178572 29.4229 [-(47+28*x)/(14*x+11)/(x-1) lgdogf] A178572 6.66539 [(786875*f(x)-13004193)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+14*x+11) ogf] A178572 6.72284 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=47,a(2)=108} ogf] A178574 16.6801 [-4*(5*x+4)/(x-1)^3 ogf] A178574 37.5908 [-(17+10*x)/(5*x+4)/(x-1) lgdogf] A178574 7.90866 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=68,a(2)=156} ogf] A178574 7.97744 [(46413*f(x)-1106708)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+20*x+16) ogf] A178575 5.57294 [{(-27*n^3-117*n^2-168*n-80)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A178577 7.56437 [-(3*x^3+8*x^2-5*x+2)*(5*x^3-4*x^2-x+2)/(x-1)/(5*x-1)/(x+1)/(x^2-x+1)/(x^2+2*x-1) lgdogf] A178577 7.58711 [-x*(x^2+2*x-1)/(x-1)/(5*x-1)/(x+1)/(x^2-x+1) ogf] A178578 13.9589 [f(x)^2*x^3+f(x)*x^2+3*f(x)*x-f(x)+1 ogf] A178578 22.5767 [1/2*(-1-3*x+(1+6*x+13*x^2+4*x^3)^(1/2))/x/(1+x) revogf] A178594 5.37621 [-6*f(x)*x^3-2*x^4-6*f(x)^2*x+14*f(x)*x^2-8*x^3+f(x)^2-2*f(x)*x+x^2 ogf] A178617 11.6958 [-(-7+20*x+x^4+78*x^2+28*x^3)/(x-1)/(x^4+12*x^3+14*x^2-2*x-1) lgdogf] A178617 7.27085 [-(x^4+12*x^3+14*x^2-2*x-1)/(x-1)^5 ogf] A178626 12.6125 [1/(10*x-1)/(x^2+2*x-1) ogf] A178626 13.2534 [-2*(-6+19*x+15*x^2)/(-1+10*x)/(x^2+2*x-1) lgdogf] A178626 4.70297 [{-a(n+3)+12*a(n+2)-19*a(n+1)-10*a(n),a(0)=1,a(1)=12,a(2)=125} ogf] A178626 4.99956 [(960217*f(x)-18900)*(10*f(x)*x^3+19*f(x)*x^2-12*f(x)*x+f(x)-1) ogf] A178630 3.19488 [(13579795031*f(x)-5587455600)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+180*x+18) ogf] A178630 3.29395 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=18,a(1)=2178,a(2)=221778} ogf] A178630 6.28758 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A178630 6.63938 [-18*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A178631 3.19488 [(13579795031*f(x)-8381183400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+270*x+27) ogf] A178631 3.29395 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=27,a(1)=3267,a(2)=332667} ogf] A178631 6.28758 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A178631 6.63938 [-27*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A178632 3.17104 [(13579795031*f(x)-13968639000)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+450*x+45) ogf] A178632 3.29395 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=45,a(1)=5445,a(2)=554445} ogf] A178632 6.28758 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A178632 6.63938 [-45*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A178633 4.47064 [(13579795031*f(x)-16762366800)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+540*x+54) ogf] A178633 4.64393 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=54,a(1)=6534,a(2)=665334} ogf] A178633 6.28758 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A178633 9.36042 [-54*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A178634 3.17104 [(13579795031*f(x)-19556094600)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+630*x+63) ogf] A178634 3.29395 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=63,a(1)=7623,a(2)=776223} ogf] A178634 6.28758 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A178634 6.63938 [-63*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A178635 3.17104 [(13579795031*f(x)-22349822400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+720*x+72) ogf] A178635 3.29395 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=72,a(1)=8712,a(2)=887112} ogf] A178635 6.28758 [-(121-2220*x+20000*x^3-8100*x^2)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) lgdogf] A178635 6.63938 [-72*(10*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A178664 6.21010 [-(2048000*x^10-115200*x^7-1440*x^4-11)/(2*x-1)/(1024000*x^10-1) ogf] A178671 11.4708 [5*f(x)*x^2-6*f(x)*x+f(x)-24*x+4 ogf] A178671 15.9593 [4*(6*x-1)/(5*x-1)/(x-1) ogf] A178671 19.1519 [(-2+3*x+2*(1+3*x+x^2)^(1/2))/(-24+5*x) revogf] A178671 20.2159 [-10*x*(3*x-1)/(x-1)/(-1+6*x)/(5*x-1) lgdogf] A178671 9.06333 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=-4,a(1)=0} ogf] A178672 12.0035 [-6*f(x)*x^2+7*f(x)*x-f(x)+30*x ogf] A178672 14.8112 [-1/12*(-30-7*x+(180+84*x+5*x^2)^(1/2)*5^(1/2))/x revogf] A178672 18.9529 [30*x/(6*x-1)/(x-1) ogf] A178672 28.4376 [-(-7+12*x)/(-1+6*x)/(x-1) lgdogf] A178672 8.78307 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=0,a(1)=30} ogf] A178674 16.3712 [-2*(5*x-2)/(3*x-1)/(x-1) ogf] A178674 19.4671 [-3*(1-4*x+5*x^2)/(x-1)/(3*x-1)/(5*x-2) lgdogf] A178674 20.5486 [-(-2-2*x+(4-2*x+x^2)^(1/2))/(10+3*x) revogf] A178674 8.36754 [-(f(x)+5)*(3*f(x)*x^2-4*f(x)*x+f(x)+10*x-4) ogf] A178674 9.18387 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=4,a(1)=6} ogf] A178675 16.9988 [-(17*x-5)/(4*x-1)/(x-1) ogf] A178675 17.4753 [-1/2*(-5-5*x+(25-18*x+9*x^2)^(1/2))/(17+4*x) revogf] A178675 18.7539 [-4*(2-10*x+17*x^2)/(17*x-5)/(x-1)/(4*x-1) lgdogf] A178675 8.49938 [-(45*f(x)+31)*(4*f(x)*x^2-5*f(x)*x+f(x)+17*x-5) ogf] A178675 9.53590 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=5,a(1)=8} ogf] A178676 16.0975 [-2*(13*x-3)/(5*x-1)/(x-1) ogf] A178676 18.1943 [-5*(1-6*x+13*x^2)/(x-1)/(13*x-3)/(5*x-1) lgdogf] A178676 19.1519 [-(-3-3*x+(9-8*x+4*x^2)^(1/2))/(26+5*x) revogf] A178676 8.13721 [-(6*f(x)-11)*(5*f(x)*x^2-6*f(x)*x+f(x)+26*x-6) ogf] A178676 8.92152 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=6,a(1)=10} ogf] A178681 11.9163 [-1/2*(-7-7*x+(49-50*x+25*x^2)^(1/2))/(37+6*x) revogf] A178681 11.9178 [-(37*x-7)/(6*x-1)/(x-1) ogf] A178681 13.0789 [-6*(2-14*x+37*x^2)/(x-1)/(6*x-1)/(37*x-7) lgdogf] A178681 5.83212 [-(175*f(x)-649)*(6*f(x)*x^2-7*f(x)*x+f(x)+37*x-7) ogf] A178681 6.60505 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=7,a(1)=12} ogf] A178683 5.78650 [-2*(-1-3*x+40*x^6+3*x^5+25*x^9+21*x^8+30*x^7-9*x^4-6*x^2-22*x^3)/(x-1)/(5*x^3-1)/(4*x^6+5*x^4-2*x^3+3*x^2+2*x+1)/(x^2+x+1) lgdogf] A178683 8.43181 [x*(4*x^6+5*x^4-2*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(5*x^3-1) ogf] A178690 5.03008 [-2*(18-343*x+2583*x^2-9744*x^3+19236*x^4-18800*x^5+7200*x^6)/(x-1)/(6*x-1)/(-1+4*x)/(2*x-1)/(5*x-1)/(20*x^2-18*x+3) lgdogf] A178690 7.22113 [-12*x^3*(20*x^2-18*x+3)/(x-1)/(6*x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A178703 11.0652 [x^2/(3*x-1)/(x-1)/(x^2-x+1) ogf] A178703 12.0821 [-(-5+16*x+12*x^3-21*x^2)/(x-1)/(3*x-1)/(x^2-x+1) lgdogf] A178703 5.92381 [-3*f(x)*x^4+7*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+x^2-f(x) ogf] A178704 6.30600 [-x^2*(2*x^2-x+1)/(x+1)/(3*x-1)/(x^2-x+1)/(x-1)^2 ogf] A178704 6.82284 [-(-4+6*x-13*x^3+3*x^2+33*x^4-33*x^5+24*x^6)/(x-1)/(3*x-1)/(x+1)/(x^2-x+1)/(2*x^2-x+1) lgdogf] A178706 10.1084 [-2*(-3+5*x+3*x^3+6*x^4-3*x^2)/(x-1)/(3*x-1)/(x+1)/(1+x^2) lgdogf] A178706 8.02515 [-x*(x+1)/(3*x-1)/(x^2+1)/(x-1)^2 ogf] A178710 11.3452 [-(-11+5*x+16*x^4+41*x^3+3*x^2)/(x-1)/(x+2)/(-1+4*x)/(x^2+x+1) lgdogf] A178710 9.61255 [-x*(x+2)/(4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A178711 8.80770 [-x*(2*x^2-x+3)/(5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A178711 8.99823 [-(-20+42*x-51*x^5+40*x^6+9*x^2-67*x^3+111*x^4)/(x-1)/(5*x-1)/(x+1)/(x^2-x+1)/(2*x^2-x+3) lgdogf] A178715 10.8790 [-(x^14+3*x^10+x^6+2*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(4*x^5-1) ogf] A178719 15.7987 [-x^2/(x+1)/(6*x-1)/(x-1)^2 ogf] A178719 23.0782 [-(-7+3*x+24*x^2)/(x-1)/(6*x-1)/(x+1) lgdogf] A178719 4.27210 [{(6*n+18)*a(n+1)+(-n+3)*a(n+2)+(-6*n-13)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=7} ogf] A178719 6.92009 [(5*f(x)-1)*(6*f(x)*x^4-7*f(x)*x^3-5*f(x)*x^2+7*f(x)*x+x^2-f(x)) ogf] A178730 17.9994 [-x/(x+1)/(7*x-1)/(x-1)^2 ogf] A178730 24.9233 [-4*(-2+x+7*x^2)/(x-1)/(7*x-1)/(x+1) lgdogf] A178730 4.45441 [{(n+3)*a(n+4)+(-22-7*n)*a(n+3)+(3-n)*a(n+2)+(28+7*n)*a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=58} ogf] A178730 7.1705 [(4868*f(x)-1127)*(7*f(x)*x^4-8*f(x)*x^3-6*f(x)*x^2+8*f(x)*x-f(x)+x) ogf] A178742 10.9557 [-(-4+6*x+3*x^2-13*x^3+12*x^4)/(-1+x)/(2*x-1)/(x+1)/(x^2-x+1) lgdogf] A178742 9.52672 [-x^4/(x+1)/(2*x-1)/(x^2-x+1)/(x-1)^2 ogf] A178744 12.2322 [-(-8+48*x^4+23*x^3+9*x^2)/(x-1)/(3*x+1)/(4*x-1)/(x^2+x+1) lgdogf] A178744 9.13961 [-x^2*(3*x+1)/(4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A178747 3.73376 [-(4*x^3-2*x^2-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A178747 5.24794 [-(268514*f(x)+106531)*(16*f(x)*x^4+12*f(x)*x^3-8*f(x)*x^2+4*x^3-3*f(x)*x-2*x^2+f(x)-1) ogf] A178748 2.98586 [-(2*x^3-1)/(x+1)^2/(2*x-1)^2 ogf] A178748 6.44238 [(46*f(x)+11)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+2*x^3-2*f(x)*x+f(x)-1) ogf] A178750 8.47106 [-x^2*(x^2+x+2)/(5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A178750 9.28180 [-(-15+27*x+12*x^5+20*x^6+21*x^2-43*x^3+42*x^4)/(x-1)/(5*x-1)/(x+1)/(x^2-x+1)/(x^2+x+2) lgdogf] A178759 10.8296 [-2*(12-91*x+132*x^4-301*x^3+252*x^2)/(-1+x)/(-1+3*x)/(2*x-1)/(11*x^2-12*x+3) lgdogf] A178759 7.87034 [6*x^3*(11*x^2-12*x+3)/(x-1)^2/(3*x-1)^2/(2*x-1)^2 ogf] A178765 12.1826 [-f(x)*x^2-17*f(x)*x+f(x)-x ogf] A178765 12.5496 [1/2/x*(-1-17*x+(1+34*x+293*x^2)^(1/2)) revogf] A178765 19.2357 [-x/(x^2+17*x-1) ogf] A178765 21.6766 [-(17+2*x)/(x^2-1+17*x) lgdogf] A178765 8.91412 [{-a(n+2)+17*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A178766 10.8889 [-(2+6*x-3*x^4-8*x^3+x^6+6*x^5+3*x^2)/(x^2+x-1)/(x^2-x-1)/(x^4+x^3-2*x-1) lgdogf] A178766 12.2870 [-(x^4+x^3-2*x-1)/(x^2+x-1)/(x^2-x-1) ogf] A178766 7.60625 [-(f(x)-2)*(f(x)*x^4+x^4-3*f(x)*x^2+x^3+f(x)-2*x-1) ogf] A178769 11.9004 [-(15*x-2)/(10*x-1)/(x-1) ogf] A178769 12.4321 [-1/10*(-2-11*x+(4-16*x+81*x^2)^(1/2))/(3+2*x) revogf] A178769 13.6450 [-(7-40*x+150*x^2)/(x-1)/(15*x-2)/(10*x-1) lgdogf] A178769 6.07682 [-(37*f(x)-25)*(10*f(x)*x^2-11*f(x)*x+f(x)+15*x-2) ogf] A178769 6.80025 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=2,a(1)=7} ogf] A178778 7.93738 [-(3-13*x-3*x^2+69*x^3-30*x^4-126*x^5+108*x^6)/(x-1)/(3*x-1)/(3*x^2-1)/(6*x^3-4*x^2-2*x+1) lgdogf] A178778 8.90206 [(6*x^3-4*x^2-2*x+1)/(3*x-1)/(3*x^2-1)/(x-1)^2 ogf] A178787 6.55548 [-(x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A178789 14.6190 [-3*(3*x-1)/(4*x-1)/(x-1) ogf] A178789 15.7352 [-1/2*(-3-5*x+(9-6*x+9*x^2)^(1/2))/(9+4*x) revogf] A178789 16.9775 [-2*(1-4*x+6*x^2)/(x-1)/(3*x-1)/(4*x-1) lgdogf] A178789 7.39165 [-(5*f(x)-3)*(4*f(x)*x^2-5*f(x)*x+f(x)+9*x-3) ogf] A178789 8.02263 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=3,a(1)=6} ogf] A178792 13.8327 [1/4*(-7*x+1+3*(9*x^2+2*x+1)^(1/2))*x/(2*x+1)^2 revogf] A178792 4.23845 [{(8*n+20)*a(n+1)+(7*n+17)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=31} ogf] A178792 7.12619 [8*f(x)^2*x^2+7*f(x)^2*x-f(x)^2+8*f(x)*x-f(x)+2 ogf] A178795 7.32197 [-x^14-x^11-x^9-x^8-x^6-x^5-x^3-1 ogf_with_Euler_transform] A178804 14.3184 [(x^3+x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A178804 15.7451 [-(3*x^2+1)*(x^4+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^3+x+1) lgdogf] A178815 13.7680 [{a(n+2)-a(n+1),a(0)=3,a(1)=2} ogf] A178815 22.0287 [-f(x)*x+f(x)+x-3 ogf] A178815 26.7917 [(x-3)/(x-1) ogf] A178815 31.3767 [3/2+1/2*x-1/2*(9+2*x+x^2)^(1/2) revogf] A178815 74.8214 [2/(x-1)/(x-3) lgdogf] A178826 12.9196 [-x*(3*x+5)/(7*x-1)/(x^2+x+1)/(x-1)^2 ogf] A178826 14.3612 [-(-43+27*x+84*x^4+187*x^3+33*x^2)/(3*x+5)/(x-1)/(7*x-1)/(x^2+x+1) lgdogf] A178827 17.6127 [-x/(x+1)/(8*x-1)/(x-1)^2 ogf] A178827 25.6616 [-(-9+5*x+32*x^2)/(x-1)/(8*x-1)/(x+1) lgdogf] A178827 4.71452 [{(n+3)*a(n+4)+(-25-8*n)*a(n+3)+(4-n)*a(n+2)+(32+8*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=74} ogf] A178827 7.65143 [(8991*f(x)+731)*(8*f(x)*x^4-9*f(x)*x^3-7*f(x)*x^2+9*f(x)*x-f(x)+x) ogf] A178828 11.5460 [-(-5+11*x+15*x^3-13*x^2)/(x-1)/(3*x-1)/(1+x^2) lgdogf] A178828 9.43075 [-x^2/(3*x-1)/(x^2+1)/(x-1)^2 ogf] A178829 7.29224 [-x*(x+2)/(7*x-1)/(x^2+1)/(x-1)^2 ogf] A178829 8.93808 [-(-19+45*x+53*x^3+28*x^4-35*x^2)/(x-1)/(-1+7*x)/(x+2)/(1+x^2) lgdogf] A178869 10.3514 [-10*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A178869 16.1039 [-1/20*(-9*x-1+(41*x^2+18*x+1)^(1/2))/x revogf] A178869 18.2671 [x/(10*x^2-9*x+1) ogf] A178869 24.4779 [-(-9+20*x)/(10*x^2+1-9*x) lgdogf] A178869 7.57417 [{a(n+2)-9*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A178872 17.4825 [-x/(4*x-1)/(x^2+x+1) ogf] A178872 20.7943 [-3*(1+2*x+4*x^2)/(4*x-1)/(x^2+x+1) lgdogf] A178872 6.45750 [{a(n+3)-3*a(n+2)-3*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A178872 6.95904 [-(3*f(x)+1)*(4*f(x)*x^3+3*f(x)*x^2+3*f(x)*x-f(x)+x) ogf] A178873 4.19828 [(16674*f(x)-4805)*(5*f(x)*x^4-11*f(x)*x^3+12*f(x)*x^2-7*f(x)*x+2*x^2+f(x)-x) ogf] A178873 8.39655 [-x*(2*x-1)/(5*x-1)/(x-1)/(x^2-x+1) ogf] A178873 8.92413 [-(5-24*x-64*x^3+30*x^4+57*x^2)/(x-1)/(2*x-1)/(5*x-1)/(x^2-x+1) lgdogf] A178874 11.6375 [-2*(2-2*x-7*x^2+15*x^3)/(x-1)/(-1+2*x)/(5*x-1)/(x+1) lgdogf] A178874 4.72736 [(3501*f(x)+695)*(5*f(x)*x^4-6*f(x)*x^3-4*f(x)*x^2+6*f(x)*x-2*x^2-f(x)+x) ogf] A178874 9.45471 [x*(2*x-1)/(5*x-1)/(x+1)/(x-1)^2 ogf] A178875 12.0213 [-(9-7*x+16*x^4-39*x^3+3*x^2)/(x-1)/(x-2)/(4*x-1)/(x^2+x+1) lgdogf] A178875 9.13961 [x^2*(x-2)/(4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A178885 14.7731 [x^2/(x-1)/(4*x^3-4*x^2+2*x-1) ogf] A178885 7.31192 [-4*f(x)*x^4+8*f(x)*x^3-6*f(x)*x^2+3*f(x)*x+x^2-f(x) ogf] A178902 10.5374 [-(-3*x^3+5*x^2-8*x+5)/(x^4-1) ogf_with_Euler_transform] A178902 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/24*Pi)*Pi^(3/4)*2^(3/4)/GAMMA(3/4)^3 A178906 12.4122 [-100*f(x)*x^2+111*f(x)*x-f(x)+x ogf] A178906 15.4693 [-1/200*(-111*x-1+(131*x+1)^(1/2)*(1+91*x)^(1/2))/x revogf] A178906 21.1342 [x/(100*x^2-111*x+1) ogf] A178906 24.9505 [-(-111+200*x)/(100*x^2+1-111*x) lgdogf] A178906 9.19960 [{a(n+2)-111*a(n+1)+100*a(n),a(0)=0,a(1)=1} ogf] A178914 13.3837 [(9+810*x^11-11*x-1710*x^10+900*x^9)/(x-1)/(90*x^11-90*x^10+11*x-10) lgdogf] A178914 13.6398 [-(90*x^11-90*x^10+11*x-10)/(x-1)^2 ogf] A178915 11.6636 [-(3*x^5-6*x^4+3*x^3-3*x^2+6*x-4)/(x-1)^2 ogf] A178915 13.1492 [(2+27*x^3-9*x^2+9*x^5-27*x^4)/(x-1)/(3*x^5-6*x^4+3*x^3-3*x^2+6*x-4) lgdogf] A178934 6.26353 [-(x^5-2*x^4-6*x^3+4*x^2-4*x+1)/(x-1)/(4*x-1)/(3*x-1)/(x+1)/(x^2+1) ogf] A178935 5.71421 [-(-6+30*x-7*x^6+74*x^5+168*x^9-193*x^8+200*x^7-157*x^4-45*x^2+80*x^3)/(x-1)/(4*x-1)/(-1+3*x)/(x+1)/(x^2+1)/(7*x^4-4*x^3+3*x^2+x-1) lgdogf] A178935 7.60223 [x*(7*x^4-4*x^3+3*x^2+x-1)/(x-1)/(4*x-1)/(3*x-1)/(x+1)/(x^2+1) ogf] A178936 7.70145 [(x^5-2*x^4+3*x^3-2*x^2+3*x-1)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A178945 10.7499 [-(x-1)^2/(2*x^2-1)/(2*x-1)^2 ogf] A178945 15.8262 [-2*(1+2*x-8*x^2+4*x^3)/(x-1)/(2*x-1)/(2*x^2-1) lgdogf] A178945 3.70871 [{(-4*n-28)*a(n+1)+(2*n+12)*a(n+2)+(2*n+14)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=16} ogf] A178945 5.45398 [-(136*f(x)-97)*(8*f(x)*x^4-8*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A178946 10.6419 [-(3+16*x+16*x^2+22*x^3+5*x^4+2*x^5)/(x-1)/(x+1)/(x^4+x^3+4*x^2+x+1) lgdogf] A178946 7.20653 [(x^4+x^3+4*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A178947 8.15548 [(3*x^4+4*x^3+8*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A178947 9.32987 [-2*(2+13*x+19*x^2+26*x^3+9*x^4+3*x^5)/(x-1)/(x+1)/(3*x^4+4*x^3+8*x^2+2*x+1) lgdogf] A178960 8.45692 [(27+9*x^11-19*x-19*x^10+17*x^9-15*x^8+8*x^7+2*x^4-6*x^2-2*x^3)/(x-1)/(x^11-x^10+x^9-x^8+x^4+2*x^3+19*x-23) lgdogf] A178960 9.41678 [-(x^11-x^10+x^9-x^8+x^4+2*x^3+19*x-23)/(x-1)^2 ogf] A178972 5.73545 [4*x^5*(8*x^6-7*x^5-30*x^4+23*x^3+44*x^2-26*x-36)/(x+1)^3/(x-1)^5 ogf] A178972 7.71619 [-(-98-252*x-5*x^6-86*x^5+20*x^4+190*x^3+16*x^7-25*x^2)/(x-1)/(x+1)/(8*x^6-7*x^5-30*x^4+23*x^3+44*x^2-26*x-36) lgdogf] A178973 4.29631 [-4*x^6*(36*x^11-47*x^10-178*x^9+228*x^8+354*x^7-419*x^6-356*x^5+297*x^4+182*x^3+178*x^2+538*x+147)/(x+1)^5/(x-1)^7 ogf] A178977 13.0425 [(x^2-5*x-5)/(x-1)^3 ogf] A178977 25.1731 [-(x+2)*(x-10)/(x-1)/(x^2-5*x-5) lgdogf] A178977 6.97888 [(57*f(x)-461)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+5*x+5) ogf] A178977 6.97888 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=20,a(2)=44} ogf] A178982 13.9084 [-2*(-1-x+3*x^4+3*x^3-x^2)/(x-1)/(x^2+x+1)/(x^2+x-1) lgdogf] A178982 17.3895 [-x^3/(x^2+x+1)/(x^2+x-1)/(x-1)^2 ogf] A178987 11.0882 [-x*(4*x-1)/(2*x-1)^3 ogf] A178987 22.1764 [-2*(-1+8*x)/(-1+4*x)/(-1+2*x) lgdogf] A178987 5.7421 [-(2*f(x)-1)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-x) ogf] A178987 5.74210 [{-a(n+3)+6*a(n+2)-12*a(n+1)+8*a(n),a(0)=0,a(1)=-1,a(2)=-2} ogf] A179001 9.32710 [-x^4*(x^4+x^3+1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1)/(x-1)^2 ogf] A179005 8.77108 [-x*(x^21-x^20+x^18-x^17+x^2-x-1)/(x-1)^2 ogf] A179005 9.02355 [(3-x-39*x^20+20*x^19+19*x^21+16*x^18+17*x^16-33*x^17)/(x-1)/(x^21-x^20+x^18-x^17+x^2-x-1) lgdogf] A179006 8.26317 [-x^5/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A179006 9.21855 [-(-3+3*x+8*x^6+x^5-3*x^2+5*x^3-5*x^4)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) lgdogf] A179018 5.95515 [-(x+1)*(3*x^6+4*x^5+x^4-6*x^3+x^2-2*x+2)/(-1+x)/(x^2+x+1)/(x^2+x-1)/(x^3+x^2-1) lgdogf] A179018 7.39629 [x*(x^3+x^2-1)/(x^2+x+1)/(x^2+x-1)/(x-1)^2 ogf] A179023 13.8462 [-2*(2+3*x^5-6*x^2+2*x^3)/(x-1)/(x^2+x-1)/(2*x^3-1) lgdogf] A179023 3.73829 [{(-n^2-7*n-12)*a(n+1)+(2*n^2+10*n+8)*a(n+3)+(-n^2-4*n-3)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=12} ogf] A179023 9.62738 [-x*(2*x^3-1)/(x-1)^2/(x^2+x-1)^2 ogf] A179041 6.39914 [x*(x^8+x^7+x^3+x^2-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1)/(x-1)^2 ogf] A179042 6.73791 [x*(x^6+x^5+x^3+x^2-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A179051 10.8144 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+11*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A179051 22.8117 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A179051 46.6077 [x^9+1 ogf_with_Euler_transform] A179052 15.6701 [-1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A179052 41.6286 [x^9+2 ogf_with_Euler_transform] A179052 9.56542 [-2*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+6*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A179053 5.10994 [x*(x^10+x^9+x^7+x^5+x^4+x^3+x^2-1)/(x+1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A179054 8.42266 [-(-1-2*x-6*x^6+2*x^10+2*x^9+3*x^8+4*x^7-2*x^4-12*x^2-4*x^3)/(x-1)/(x+1)/(x^2+1)/(2*x^7+x^6+x^5+x^4-4*x^3-x^2-x-1) lgdogf] A179054 9.99975 [-(2*x^7+x^6+x^5+x^4-4*x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A179058 14.4208 [-4*(4+18*x+12*x^2+x^3)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A179058 5.82690 [-6*x^2*(x+1)*(x^2+8*x+1)/(x-1)^7 ogf] A179058 5.87801 [{(n^2+6*n+9)*a(n+1)-a(n+2)*n^2,a(0)=0,a(1)=0,a(2)=6} ogf] A179059 10.6151 [-5*(5+40*x+60*x^2+20*x^3+x^4)/(x-1)/(x^4+16*x^3+36*x^2+16*x+1) lgdogf] A179059 4.43889 [-24*x^3*(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^9 ogf] A179059 4.65770 [{(n^2+6*n+9)*a(n+1)+(-n^2+2*n-1)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=24} ogf] A179060 3.82774 [{(n^2+6*n+9)*a(n+1)+(-n^2+4*n-4)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=120} ogf] A179060 7.55733 [-6*(6+75*x+200*x^2+150*x^3+30*x^4+x^5)/(-1+x)/(x+1)/(x^4+24*x^3+76*x^2+24*x+1) lgdogf] A179061 3.54065 [{(n^2+6*n+9)*a(n+1)+(-n^2+6*n-9)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=720} ogf] A179062 3.11294 [{(n^2+6*n+9)*a(n+1)+(-n^2+8*n-16)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=5040} ogf] A179063 3.30142 [{(n^2+6*n+9)*a(n+1)+(-n^2+10*n-25)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=40320} ogf] A179070 16.5032 [-(x+1)*(x^2-x+1)/(x^3+x-1) ogf] A179070 18.8956 [(-1-6*x^2+2*x^3)/(x+1)/(x^2-x+1)/(x^3+x-1) lgdogf] A179070 7.09349 [{-a(n+4)+a(n+3)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A179070 8.51219 [-(19*f(x)-15)*(f(x)*x^3+x^3+f(x)*x-f(x)+1) ogf] A179088 10.8733 [-(9+73*x+3*x^5+15*x^4+96*x^3+68*x^2)/(x-1)/(x+1)/(3*x^4+6*x^3+26*x^2+6*x+3) lgdogf] A179088 8.83846 [-(3*x^4+6*x^3+26*x^2+6*x+3)/(x+1)^2/(x-1)^3 ogf] A179095 21.0637 [-5*(2+6*x+3*x^2)/(x-1)/(5*x^2+5*x+1) lgdogf] A179095 4.20287 [{(n+3)*a(n+4)+(-2+4*n)*a(n+3)-30*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=45} ogf] A179095 9.26658 [-x*(5*x^2+5*x+1)/(x-1)^5 ogf] A179096 14.9178 [-3*(x+1)*(x^2+20*x+5)/(x-1)/(x^3+15*x^2+9*x+1) lgdogf] A179096 3.55415 [{(-611*n^2-4033*n-6600)*a(n+1)+(390*n^2-1048*n-5308)*a(n+2)+(221*n^2+921*n+958)*a(n+3),a(0)=0,a(1)=1,a(2)=15} ogf] A179096 6.89717 [x*(x^3+15*x^2+9*x+1)/(x-1)^6 ogf] A179097 12.6921 [-7*(3+22*x+4*x^3+28*x^2)/(x-1)/(7*x^3+35*x^2+14*x+1) lgdogf] A179097 6.03687 [-x*(7*x^3+35*x^2+14*x+1)/(x-1)^7 ogf] A179098 10.7900 [-4*(7+70*x+x^4+126*x^2+36*x^3)/(x-1)/(x^4+28*x^3+70*x^2+20*x+1) lgdogf] A179098 5.34702 [x*(x^4+28*x^3+70*x^2+20*x+1)/(x-1)^8 ogf] A179099 4.62142 [-x*(9*x^4+84*x^3+126*x^2+27*x+1)/(x-1)^9 ogf] A179099 9.43891 [-9*(4+52*x+5*x^4+126*x^2+60*x^3)/(x-1)/(9*x^4+84*x^3+126*x^2+27*x+1) lgdogf] A179111 10.1320 [-x^6/(x+1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A179111 5.60493 [-(-2-2*x+x^6+x^5+13*x^10+x^3+x^8+x^7+13*x^11-9*x^9+x^4+x^2)/(x-1)/(x+1)/(x^2+x-1)/(1+x+x^3+x^4+x^2)/(x^4-x^3+x^2-x+1) lgdogf] A179123 6.82158 [-(10+8*x+4*x^8-71*x^6+28*x^5-10*x^7+326*x^4-74*x^3-59*x^2)/(-1+x)/(4*x^4-5*x^3-36*x^2+5*x+5)/(x^4-8*x^2+1) lgdogf] A179123 7.83421 [-(4*x^4-5*x^3-36*x^2+5*x+5)/(x-1)/(x^4-8*x^2+1) ogf] A179131 7.23652 [-(4*x^6+5*x^5+5*x^4-47*x^3-25*x^2-5*x-1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A179132 7.02158 [-(3*x^6+6*x^5+7*x^4-18*x^3-14*x^2-3*x-1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A179133 8.18999 [-(x^5+4*x^4+10*x^3-5*x^2-4*x-2)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A179134 7.70353 [-(2*x^5+4*x^4+5*x^3-10*x^2-4*x-1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A179135 11.0967 [-(10*x-3)/(25*x^2-15*x+1) ogf] A179135 11.3328 [-1/10*(-3-15*x+(9+50*x+125*x^2)^(1/2))/(2+5*x) revogf] A179135 5.72736 [-(15*f(x)+4)*(25*f(x)*x^2-15*f(x)*x+f(x)+10*x-3) ogf] A179135 6.26639 [{a(n+2)-15*a(n+1)+25*a(n),a(0)=3,a(1)=35} ogf] A179167 4.57734 [{a(n+4)-5*a(n+3)+5*a(n+2)-a(n+1),a(0)=3,a(1)=4,a(2)=11,a(3)=37} ogf] A179167 4.94649 [(229*f(x)-102)*(f(x)*x^3-5*f(x)*x^2-x^3+5*f(x)*x+6*x^2-f(x)-11*x+3) ogf] A179167 8.76234 [(x^3-6*x^2+11*x-3)/(x-1)/(x^2-4*x+1) ogf] A179167 9.38518 [(4-18*x+31*x^2-12*x^3+x^4)/(-1+x)/(x^2-4*x+1)/(x^3-6*x^2+11*x-3) lgdogf] A179178 9.22667 [-(x^7-2*x^6+x^4+x^3+x^2+1)/(x-1)^3 ogf] A179184 17.4649 [-x^3-f(x)*x+f(x)+x-1 ogf] A179184 20.5698 [-(x^3-x+1)/(x-1) ogf] A179184 32.7296 [x^2*(-3+2*x)/(x-1)/(x^3-x+1) lgdogf] A179184 9.84722 [{-a(n+4)+a(n+3),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A179190 13.0069 [-4*x^2-4*x-3+4*f(x)-f(x)^2 ogf] A179190 8.32617 [-2*(-4*x^2+1-4*x+2*(1-4*x-4*x^2)^(1/2))*(2*x+1)/(4*x^2+4*x-1)/(4*x^2+4*x+3) lgdogf] A179191 5.03823 [4*f(x)^2*x^2+4*f(x)^2*x+4*f(x)*x^2-f(x)^2+4*f(x)*x+x^2-f(x)+x ogf] A179207 11.3670 [(2*x^4-2*x^3-x^2-1)/(x+1)/(x-1)^3 ogf] A179207 17.2393 [-2*(-1-3*x-4*x^2+x^3+x^4)/(x-1)/(x+1)/(2*x^4-2*x^3-x^2-1) lgdogf] A179207 6.63833 [(9*f(x)-101)*(f(x)*x^4-2*f(x)*x^3-2*x^4+2*x^3+2*f(x)*x+x^2-f(x)+1) ogf] A179237 15.8865 [(4*x-1)/(x^2+6*x-1) ogf] A179237 8.0325 [-(7*f(x)-5)*(f(x)*x^2+6*f(x)*x-f(x)-4*x+1) ogf] A179237 8.71820 [{-a(n+2)+6*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A179238 7.27312 [-(2+6*x+4*x^6+6*x^5+2*x^9-3*x^8+12*x^7+18*x^4+15*x^2+28*x^3)/(x^6+6*x^3-1)/(x^4-x^3+3*x^2+2*x+1) lgdogf] A179238 9.75788 [-(x^4-x^3+3*x^2+2*x+1)/(x^6+6*x^3-1) ogf] A179257 4.61591 [-(x^5-4*x^4+7*x^3-8*x^2+4*x-1)/(x-1)^6 ogf] A179257 7.29533 [-(-2+4*x+x^5-3*x^4+5*x^3-11*x^2)/(-1+x)/(x^5-4*x^4+7*x^3-8*x^2+4*x-1) lgdogf] A179259 15.0455 [-2*(-3-11*x-5*x^2+x^3)/(x-1)/(2*x^3-8*x^2-2*x-1) lgdogf] A179259 5.11547 [(843*f(x)+11402)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-16*x^2+f(x)-4*x-2) ogf] A179259 9.44395 [-2*(2*x^3-8*x^2-2*x-1)/(x-1)^4 ogf] A179272 12.8060 [(x^3-3*x^2+1)/(x+1)/(x-1)^3 ogf] A179272 16.6478 [-(2-2*x-4*x^3+x^4-3*x^2)/(x-1)/(x+1)/(x^3-3*x^2+1) lgdogf] A179272 7.11445 [(46*f(x)-51)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+3*x^2-f(x)-1) ogf] A179297 20.7862 [-(-3+7*x+4*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A179297 4.51379 [-(320*f(x)-313)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A179297 8.96217 [-(x+1)*(2*x-1)/(x-1)^4 ogf] A179298 15.1340 [-(-7+6*x+4*x^3+27*x^2)/(x-1)/(2*x-1)/(x^2+4*x+1) lgdogf] A179298 7.33645 [(2*x-1)*(x^2+4*x+1)/(x-1)^5 ogf] A179309 6.35703 [-(10*x^19-10*x^9-9*x^8-8*x^7-7*x^6-6*x^5-5*x^4-4*x^3-3*x^2-2*x-1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(10*x^10-1) ogf] A179327 31.6464 [1/(-x+1) egf]_with_Euler_transform] A179337 7.67058 [-(5*x^4+30*x^3+62*x^2+30*x+5)/(x+1)^2/(x-1)^3 ogf] A179337 8.91014 [-(35+179*x+5*x^5+65*x^4+272*x^2+236*x^3)/(x-1)/(x+1)/(5*x^4+30*x^3+62*x^2+30*x+5) lgdogf] A179338 7.69199 [-(x^4+90*x^3+38*x^2+90*x+1)/(x+1)^2/(x-1)^3 ogf] A179338 9.28052 [-(91+171*x+x^5+181*x^4+668*x^2+208*x^3)/(x-1)/(x+1)/(x^4+90*x^3+38*x^2+90*x+1) lgdogf] A179339 6.96989 [-(11*x^4+210*x^3+218*x^2+210*x+11)/(x+1)^2/(x-1)^3 ogf] A179339 7.66375 [-(221+701*x+1688*x^2+908*x^3+431*x^4+11*x^5)/(x-1)/(x+1)/(11*x^4+210*x^3+218*x^2+210*x+11) lgdogf] A179370 7.46268 [-(16*x^4+7*x^3+108*x^2+7*x+16)/(x+1)^2/(x-1)^3 ogf] A179370 8.54615 [-(23+303*x+30*x^4+395*x^3+16*x^5+157*x^2)/(x-1)/(x+1)/(16*x^4+7*x^3+108*x^2+7*x+16) lgdogf] A179403 10.0181 [-2*(-50+57*x+5*x^3-27*x^2)/(-1+x)/(x-2)/(5*x^2-13*x+14) lgdogf] A179403 5.59996 [2*x^3*(x-2)*(5*x^2-13*x+14)/(x-1)^5 ogf] A179404 4.84901 [-4*x^3*(12*x^6-67*x^5+140*x^4-112*x^3-21*x^2+66*x+12)/(x-1)^7 ogf] A179404 7.00247 [-(150+354*x+12*x^6-62*x^5+85*x^4-441*x^2+112*x^3)/(x-1)/(12*x^6-67*x^5+140*x^4-112*x^3-21*x^2+66*x+12) lgdogf] A179424 4.17345 [x^3*(160*x^9-963*x^8+2054*x^7-1308*x^6-963*x^5-375*x^4+5288*x^3-5094*x^2-467*x-12)/(x-1)^9 ogf] A179436 11.5060 [(2*x^2-4*x-7)/(x-1)^3 ogf] A179436 19.0836 [-(-25-4*x+2*x^2)/(x-1)/(2*x^2-4*x-7) lgdogf] A179436 6.15671 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=25,a(2)=52} ogf] A179436 7.302 [(193*f(x)-2359)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+4*x+7) ogf] A179441 4.51127 [(x^3+10*x^2+15*x+1)/(x-1)^6 ogf] A179441 8.59124 [-(21+95*x+3*x^3+43*x^2)/(-1+x)/(x^3+10*x^2+15*x+1) lgdogf] A179477 10.4627 [-(10*x^2-21*x+10)/(10*x-1)/(x-1)^2 ogf] A179477 5.35116 [(27654321*f(x)+24635810)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+10*x^2-f(x)-21*x+10) ogf] A179477 5.89076 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=10,a(1)=99,a(2)=988} ogf] A179477 5.99323 [-(-99+301*x+100*x^3-320*x^2)/(-1+x)/(10*x-1)/(10*x^2-21*x+10) lgdogf] A179483 4.94376 [{-a(n+5)+6*a(n+4)-11*a(n+3)+6*a(n+2),a(0)=3,a(1)=-9,a(2)=6,a(3)=36,a(4)=150} ogf] A179483 5.18919 [-(270*f(x)+421)*(6*f(x)*x^3+54*x^4-11*f(x)*x^2-117*x^3+6*f(x)*x+93*x^2-f(x)-27*x+3) ogf] A179483 8.81537 [-3*(18*x^4-39*x^3+31*x^2-9*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A179508 28.6257 [(1+x^2+3*x)/(2+x)/(x+1) lgdegf] A179526 8.65545 [-(27*x^31+9*x^28+3*x^27-27*x^13-9*x^4-3*x-1)/(x-1)/(3*x^27-1) ogf] A179533 10.2716 [2*f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A179540 5.11302 [{(-2*n-6)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A179540 5.88635 [2*(-3486483*x-486486-2999997*x^2+44697906250*x^9+134093718750*x^10)/(5999994*x^2-486486-2027025*x+44697906250*x^9) lgdegf] A179554 4.21063 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 ogf] A179555 14.3061 [-(11*x-10)/(10*x-1)/(x-1) ogf] A179555 7.22682 [-(889*f(x)+911)*(10*f(x)*x^2-11*f(x)*x+f(x)+11*x-10) ogf] A179555 7.31174 [-1/2*(-10-11*x+(100+176*x+81*x^2)^(1/2))/(11+10*x) revogf] A179555 8.12415 [-(99-200*x+110*x^2)/(-1+x)/(11*x-10)/(10*x-1) lgdogf] A179555 8.15117 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=10,a(1)=99} ogf] A179556 14.3061 [-(21*x-10)/(10*x-1)/(2*x-1) ogf] A179556 6.82713 [-(99-400*x+420*x^2)/(21*x-10)/(2*x-1)/(10*x-1) lgdogf] A179556 7.15308 [-(788*f(x)+1921)*(20*f(x)*x^2-12*f(x)*x+f(x)+21*x-10) ogf] A179556 7.47734 [-(-5-6*x+(25+39*x+16*x^2)^(1/2))/(21+20*x) revogf] A179556 8.15117 [{a(n+2)-12*a(n+1)+20*a(n),a(0)=10,a(1)=99} ogf] A179557 14.3545 [1/2/(9+10*x)*(-10-9*x+(100+216*x+121*x^2)^(1/2)) revogf] A179557 14.9149 [-(9*x+10)/(x+1)/(10*x-1) ogf] A179557 16.4052 [-(99+200*x+90*x^2)/(10*x-1)/(9*x+10)/(x+1) lgdogf] A179557 7.22682 [-(1091*f(x)-1109)*(10*f(x)*x^2+9*f(x)*x-f(x)+9*x+10) ogf] A179557 8.24707 [{-a(n+2)+9*a(n+1)+10*a(n),a(0)=10,a(1)=99} ogf] A179558 10.0343 [-(99-1000*x+2550*x^2)/(51*x-10)/(5*x-1)/(10*x-1) lgdogf] A179558 14.3061 [-(51*x-10)/(10*x-1)/(5*x-1) ogf] A179558 6.33744 [1/10*ln(50*x+51)-1/5*arctanh(5*(98*x+100)^(1/2))-1/10*ln(51)+1/5*arctanh(50) revegf] A179558 7.15308 [-(485*f(x)+4951)*(50*f(x)*x^2-15*f(x)*x+f(x)+51*x-10) ogf] A179558 8.15117 [{a(n+2)-15*a(n+1)+50*a(n),a(0)=10,a(1)=99} ogf] A179571 4.31478 [-(106495*f(x)+1421926)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+26*x^3-5*f(x)*x-83*x^2+f(x)+89*x-31) ogf] A179571 8.30993 [-(26*x^3-83*x^2+89*x-31)/(2*x-1)/(x-1)^3 ogf] A179571 9.16355 [-(66-260*x+52*x^4+373*x^2-228*x^3)/(x-1)/(2*x-1)/(26*x^3-83*x^2+89*x-31) lgdogf] A179572 5.41306 [-(180*x^5-868*x^4+1677*x^3-1620*x^2+776*x-146)/(2*x-1)^2/(x-1)^4 ogf] A179572 5.71548 [-(392-2392*x+5690*x^4-7811*x^3+5969*x^2+360*x^6-2212*x^5)/(x-1)/(-1+2*x)/(180*x^5-868*x^4+1677*x^3-1620*x^2+776*x-146) lgdogf] A179579 4.26016 [-(135167*f(x)+2687604)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+36*x^3-5*f(x)*x-110*x^2+f(x)+112*x-37) ogf] A179579 8.10969 [-(36*x^3-110*x^2+112*x-37)/(2*x-1)/(x-1)^3 ogf] A179579 8.91589 [-(73-300*x+72*x^4+454*x^2-296*x^3)/(x-1)/(2*x-1)/(36*x^3-110*x^2+112*x-37) lgdogf] A179580 5.01547 [-(328*x^5-1536*x^4+2866*x^3-2658*x^2+1218*x-219)/(2*x-1)^2/(x-1)^4 ogf] A179596 11.7871 [-(x+1)/(2*x+1)/(3*x^2+4*x-1) ogf] A179596 12.2346 [-(3+22*x+29*x^2+12*x^3)/(2*x+1)/(x+1)/(3*x^2+4*x-1) lgdogf] A179596 5.58337 [{a(n+3)-2*a(n+2)-11*a(n+1)-6*a(n),a(0)=1,a(1)=3,a(2)=17} ogf] A179596 5.8395 [(8279*f(x)+156)*(6*f(x)*x^3+11*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A179597 4.95589 [(105239*f(x)-39574)*(6*f(x)*x^3+11*f(x)*x^2+2*f(x)*x+2*x^2-f(x)+5*x+1) ogf] A179597 5.26019 [{a(n+3)-2*a(n+2)-11*a(n+1)-6*a(n),a(0)=1,a(1)=7,a(2)=27} ogf] A179597 8.89845 [-(7+26*x+69*x^2+60*x^3+12*x^4)/(2*x+1)/(2*x^2+5*x+1)/(3*x^2+4*x-1) lgdogf] A179597 9.67197 [-(2*x^2+5*x+1)/(2*x+1)/(3*x^2+4*x-1) ogf] A179598 13.3258 [-(2*x+1)/(8*x^2+3*x-1) ogf] A179598 13.9833 [1/4*(-1-3*x+(1+14*x+41*x^2)^(1/2))/(4*x+1) revogf] A179598 15.4552 [-(5+16*x+16*x^2)/(2*x+1)/(8*x^2+3*x-1) lgdogf] A179598 6.97282 [(31*f(x)-6)*(8*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A179598 7.31295 [{a(n+2)-3*a(n+1)-8*a(n),a(0)=1,a(1)=5} ogf] A179599 13.3258 [-(4*x+1)/(8*x^2+3*x-1) ogf] A179599 13.9833 [1/8*(-1-3*x+(1+22*x+41*x^2)^(1/2))/(2*x+1) revogf] A179599 15.4552 [-(7+16*x+32*x^2)/(4*x+1)/(8*x^2+3*x-1) lgdogf] A179599 6.89267 [(37*f(x)+12)*(8*f(x)*x^2+3*f(x)*x-f(x)+4*x+1) ogf] A179599 7.31295 [{a(n+2)-3*a(n+1)-8*a(n),a(0)=1,a(1)=7} ogf] A179600 11.6129 [-(x+1)/(2*x+1)/(2*x^2+4*x-1) ogf] A179600 12.2911 [-(3+20*x+8*x^3+22*x^2)/(2*x+1)/(x+1)/(2*x^2+4*x-1) lgdogf] A179600 5.50086 [{a(n+3)-2*a(n+2)-10*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=16} ogf] A179600 5.80647 [(3063*f(x)-76)*(4*f(x)*x^3+10*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A179601 11.4018 [-2*(3+10*x+26*x^2+16*x^3)/(2*x+1)/(4*x+1)/(2*x^2+4*x-1) lgdogf] A179601 11.8452 [-(4*x+1)/(2*x+1)/(2*x^2+4*x-1) ogf] A179601 5.61088 [-(7323*f(x)-2362)*(4*f(x)*x^3+10*f(x)*x^2+2*f(x)*x-f(x)+4*x+1) ogf] A179601 5.61088 [{-a(n+3)+2*a(n+2)+10*a(n+1)+4*a(n),a(0)=1,a(1)=6,a(2)=22} ogf] A179602 14.2142 [-(2*x+1)/(7*x^2+3*x-1) ogf] A179602 14.9309 [1/2/(2+7*x)*(-1-3*x+(1+14*x+37*x^2)^(1/2)) revogf] A179602 16.5026 [-(5+14*x+14*x^2)/(2*x+1)/(7*x^2+3*x-1) lgdogf] A179602 7.43768 [(29*f(x)-4)*(7*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A179602 7.80049 [{a(n+2)-3*a(n+1)-7*a(n),a(0)=1,a(1)=5} ogf] A179603 13.0511 [-(3*x+1)/(7*x^2+3*x-1) ogf] A179603 13.6889 [1/2/(3+7*x)*(-1-3*x+(1+18*x+37*x^2)^(1/2)) revogf] A179603 15.1298 [-(6+14*x+21*x^2)/(3*x+1)/(7*x^2+3*x-1) lgdogf] A179603 6.90939 [(8*f(x)+1)*(7*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) ogf] A179603 7.16217 [{a(n+2)-3*a(n+1)-7*a(n),a(0)=1,a(1)=6} ogf] A179604 11.5362 [-(x+1)/(2*x+1)/(x^2+4*x-1) ogf] A179604 12.4766 [-(3+18*x+15*x^2+4*x^3)/(2*x+1)/(x+1)/(x^2+4*x-1) lgdogf] A179604 5.41081 [{a(n+3)-2*a(n+2)-9*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A179604 5.55838 [-(373*f(x)-13)*(2*f(x)*x^3+9*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A179605 10.0858 [-(x-5)*(4*x^3+8*x^2+3*x+1)/(2*x+1)/(2*x^2-3*x-1)/(x^2+4*x-1) lgdogf] A179605 10.1261 [(2*x^2-3*x-1)/(2*x+1)/(x^2+4*x-1) ogf] A179605 5.27942 [(7437*f(x)-2710)*(2*f(x)*x^3+9*f(x)*x^2+2*f(x)*x-2*x^2-f(x)+3*x+1) ogf] A179605 5.46630 [{-a(n+3)+2*a(n+2)+9*a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=17} ogf] A179606 13.5871 [-(x+1)/(5*x^2+3*x-1) ogf] A179606 14.2590 [1/2/(5*x+1)*(-1-3*x+(1+10*x+29*x^2)^(1/2)) revogf] A179606 17.1108 [-(4+10*x+5*x^2)/(x+1)/(5*x^2+3*x-1) lgdogf] A179606 6.79357 [-(11*f(x)-3)*(5*f(x)*x^2+3*f(x)*x-f(x)+x+1) ogf] A179606 7.45635 [{-a(n+2)+3*a(n+1)+5*a(n),a(0)=1,a(1)=4} ogf] A179607 12.1725 [(4*x^2-2*x-1)/(2*x+1)/(4*x-1) ogf] A179607 14.0540 [4*(1+2*x+6*x^2)/(4*x-1)/(2*x+1)/(4*x^2-2*x-1) lgdogf] A179607 6.26353 [{a(n+3)-2*a(n+2)-8*a(n+1),a(0)=1,a(1)=4,a(2)=12} ogf] A179607 6.51662 [-(15+17*f(x))*(8*f(x)*x^2+2*f(x)*x-4*x^2-f(x)+2*x+1) ogf] A179608 12.4527 [(x+1)/(2*x+1)/(2*x-1)^2 ogf] A179608 16.5775 [-(3+2*x)*(4*x+1)/(2*x+1)/(-1+2*x)/(x+1) lgdogf] A179608 5.84063 [{a(n+3)-2*a(n+2)-4*a(n+1)+8*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A179608 6.11102 [-(3*f(x)+32)*(8*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)-x-1) ogf] A179609 13.5197 [-8*x*(2+5*x+6*x^2)/(2*x+1)/(2*x-1)/(12*x^2+2*x-1) lgdogf] A179609 5.17504 [(33*f(x)+31)*(8*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+12*x^2+f(x)+2*x-1) ogf] A179609 5.31491 [{-a(n+3)+2*a(n+2)+4*a(n+1)-8*a(n),a(0)=1,a(1)=0,a(2)=-8} ogf] A179609 9.51540 [-(12*x^2+2*x-1)/(2*x+1)/(2*x-1)^2 ogf] A179610 15.7352 [1/(4*x-1)/(x^2-x-1) ogf] A179610 18.0695 [-(-3-10*x+12*x^2)/(4*x-1)/(x^2-x-1) lgdogf] A179610 5.70924 [{a(n+3)-3*a(n+2)-5*a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=14} ogf] A179610 5.91876 [-(9701*f(x)+1584)*(4*f(x)*x^3-5*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A179611 11.4771 [-(2*x+1)/(4*x^3+8*x^2+2*x-1) ogf] A179611 11.9149 [-4*(x+1)*(4*x^2+3*x+1)/(2*x+1)/(4*x^3+8*x^2+2*x-1) lgdogf] A179611 5.38305 [{-a(n+3)+2*a(n+2)+8*a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A179611 5.63228 [-(11*f(x)-7)*(4*f(x)*x^3+8*f(x)*x^2+2*f(x)*x-f(x)+2*x+1) ogf] A179619 12.4644 [-(x+1)/(10*x-1)/(x-1)^2 ogf] A179619 17.1506 [-(-13+29*x+20*x^2)/(-1+x)/(10*x-1)/(x+1) lgdogf] A179619 5.91530 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=13,a(2)=135} ogf] A179619 6.06961 [(164321*f(x)-39345)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-f(x)+x+1) ogf] A179648 5.32757 [-2*f(x)^2*x^3+4*f(x)^2*x^2+f(x)^2*x+2*f(x)*x^2-4*f(x)*x-f(x)+1 ogf] A179734 20.5989 [-9/(x-2) lgdegf] A179736 16.4045 [-10/(x-2) lgdegf] A179741 11.9591 [-(7*x^2+18*x-1)/(x-1)^3 ogf] A179741 19.7405 [-(15+50*x+7*x^2)/(x-1)/(7*x^2+18*x-1) lgdogf] A179741 6.33731 [(918*f(x)-9157)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+18*x-1) ogf] A179741 6.50408 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=15,a(2)=55} ogf] A179742 13.6183 [[1] ogf_with_Euler_transform] A179744 10.2968 [-(x^3+x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A179744 13.6591 [-(-2+6*x-9*x^2+7*x^3)/(x-1)/(2*x-1)/(x^3+x^2-2*x+1) lgdogf] A179744 5.38240 [{-a(n+4)+4*a(n+3)-5*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A179744 5.77623 [-(f(x)+1)*(2*f(x)*x^3-5*f(x)*x^2+x^3+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A179783 7.04759 [(x^4-4*x^3+10*x^2+1)/(x+1)/(x-1)^4 ogf] A179783 9.39317 [-(3+25*x+x^5-5*x^4+22*x^3+18*x^2)/(x-1)/(x+1)/(x^4-4*x^3+10*x^2+1) lgdogf] A179805 11.0455 [(2*x+1)*(3*x^2-x+1)/(x-1)^2 ogf] A179805 14.3125 [3*(-1-x+2*x^3-6*x^2)/(x-1)/(1+2*x)/(3*x^2-x+1) lgdogf] A179805 5.85892 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=1,a(1)=3,a(2)=6,a(3)=15} ogf] A179805 6.67105 [(f(x)-1)*(f(x)*x^2-6*x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A179808 7.82914 [-2*(2*x^2-2*x-1)*(8*x^5-2*x^3-4*x^2+3*x-2)/(x-1)/(2*x-1)/(x+1)/(2*x^2+1)/(4*x^3-2*x^2-2*x-1) lgdogf] A179808 8.21091 [-x*(4*x^3-2*x^2-2*x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2+1) ogf] A179819 17.3527 [5*(x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A179819 19.2214 [-(4+6*x+2*x^4+7*x^3+11*x^2)/(-1+x)/(x^2+x+1)/(x^2+2*x+2) lgdogf] A179819 6.43071 [{(5*n+21)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-16)*a(n+4),a(0)=10,a(1)=20,a(2)=25,a(3)=35} ogf] A179819 9.11017 [-(27*f(x)+112)*(f(x)*x^4-f(x)*x^3-f(x)*x-5*x^2+f(x)-10*x-10) ogf] A179820 13.7213 [-x*(2*x^3+x^2-3*x-1)/(x-1)^2/(x+1)^2 ogf] A179820 16.3750 [-(-3-2*x+2*x^4-3*x^2+2*x^3)/(x-1)/(x+1)/(2*x^3+x^2-3*x-1) lgdogf] A179820 8.93182 [(f(x)+14)*(f(x)*x^4+2*x^4-2*f(x)*x^2+x^3-3*x^2+f(x)-x) ogf] A179824 19.7803 [-12*(1+3*x+x^2)/(x-1)/(4*x^2+7*x+1) lgdogf] A179824 8.82869 [-2*(4*x^2+7*x+1)/(x-1)^5 ogf] A179848 6.13308 [{(27*n^2+27*n+6)*a(n)+(4*n^2+10*n+6)*a(n+1),a(0)=0,a(1)=1} ogf] A179848 72.4595 [-x/(x-1)^3 revogf] A179848 9.08015 [-f(x)^3*x+3*f(x)^2*x-3*f(x)*x-f(x)+x ogf] A179850 13.8954 [-(1-x+x^6-x^5+x^7+5*x^4+4*x^2)/(x-1)/(x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1) lgdogf] A179850 15.6765 [-(x^2-x+1)*(x+1)^2/(x-1)/(x^4+x^3+x^2+x+1) ogf] A179850 19.8161 [[-x^5+x^4+x^2-x+1] ogf_with_Euler_transform] A179865 13.9981 [(2*x+1)/(-1+x)/(x^3-3*x^2+2*x-1) lgdogf] A179865 6.69962 [(x^3-3*x^2+2*x-1)/(x-1)^3 ogf] A179865 8.63594 [f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)-2*x+1 ogf] A179870 4.57868 [{(-n^3-10*n^2-32*n-32)*a(n+1)+a(n+2),a(0)=4,a(1)=36} egf] A179892 12.5362 [(-2-17*x^16-13*x^15+27*x^14-14*x^13+15*x^17)/(x-1)/(x^17-x^15+x^14+1) lgdogf] A179892 12.9688 [(x^17-x^15+x^14+1)/(x-1)^2 ogf] A179894 12.3968 [(2*x+1)*(x^3+x^2+1)/(x-1)^2/(x+1)^2 ogf] A179894 14.8034 [-(2+6*x+15*x^2+10*x^3+3*x^4)/(x-1)/(2*x+1)/(x+1)/(x^3+x^2+1) lgdogf] A179894 7.73475 [-(422*f(x)-943)*(f(x)*x^4-2*x^4-2*f(x)*x^2-3*x^3-x^2+f(x)-2*x-1) ogf] A179903 15.9630 [-(-3-x+x^3-13*x^2)/(x-1)/(x+1)/(x^3-4*x^2+2*x-1) lgdogf] A179903 5.24277 [(296*f(x)+937)*(f(x)*x^4-4*f(x)*x^3+x^4+6*f(x)*x^2-3*x^3-4*f(x)*x-2*x^2+f(x)+x-1) ogf] A179903 9.19027 [-(x+1)*(x^3-4*x^2+2*x-1)/(x-1)^4 ogf] A179904 5.13117 [(2272*f(x)+8777)*(f(x)*x^4-4*f(x)*x^3+x^4+6*f(x)*x^2-2*x^3-4*f(x)*x-x^2+f(x)+x-1) ogf] A179904 9.11538 [-(x+1)*(x^3-3*x^2+2*x-1)/(x-1)^4 ogf] A179905 13.5518 [(4+2*x+x^3+29*x^2)/(-1+x)/(2*x+1)/(x^3-5*x^2+2*x-1) lgdogf] A179905 4.76819 [(2826*f(x)+14663)*(f(x)*x^4-4*f(x)*x^3+2*x^4+6*f(x)*x^2-9*x^3-4*f(x)*x-x^2+f(x)-1) ogf] A179905 8.71225 [-(2*x+1)*(x^3-5*x^2+2*x-1)/(x-1)^4 ogf] A179930 8.65504 [-(11+54*x-2*x^7-100*x^2-110*x^3+346*x^4+26*x^5-68*x^6+3*x^8)/(x-1)/(3*x^4-x^3-33*x^2+5*x+6)/(x^4-10*x^2+1) lgdogf] A179931 13.0123 [-(4+22*x-31*x^2-44*x^3+91*x^4+6*x^5-17*x^6+x^8)/(x-1)/(x^4-9*x^2+2*x+2)/(x^4-10*x^2+1) lgdogf] A179934 6.21244 [-(9+54*x-2*x^7-60*x^2-110*x^3+142*x^4+26*x^5-28*x^6+x^8)/(x-1)/(x^4-x^3-13*x^2+5*x+4)/(x^4-10*x^2+1) lgdogf] A179934 6.60541 [-(x^4-x^3-13*x^2+5*x+4)/(x-1)/(x^4-10*x^2+1) ogf] A179935 8.92899 [-x*(952*x^5-1960*x^4+1008*x^3+x+1)/(x-1)^3 ogf] A179935 9.67071 [2*(-2-x+952*x^5+3920*x^3-3360*x^4-1512*x^2)/(x-1)/(952*x^5-1960*x^4+1008*x^3+x+1) lgdogf] A179956 6.64767 [-(11*f(x)+430)*(10*f(x)*x^2-11*f(x)*x+100*x^2+f(x)-10*x-1) ogf] A179957 11.8301 [-(f(x)-x-1)^3 ogf] A179959 9.4282 [(f(x)-x-1)^2 ogf] A179960 7.26757 [(f(x)-x-1)^2 ogf] A179961 6.78035 [(f(x)-x-1)^2 ogf] A179962 3.62133 [-2*(131*x-45)/(4*x-1)/(3*x-1) ogf] A179980 14.6467 [-1/(10*x-1)/(x+1)^2 ogf] A179980 21.5171 [-2*(4+15*x)/(x+1)/(10*x-1) lgdogf] A179980 4.96714 [{-a(n+3)+8*a(n+2)+19*a(n+1)+10*a(n),a(0)=1,a(1)=8,a(2)=83} ogf] A179980 5.01071 [-(553719*f(x)+92300)*(10*f(x)*x^3+19*f(x)*x^2+8*f(x)*x-f(x)+1) ogf] A179986 13.5571 [-x*(x+6)/(x-1)^3 ogf] A179986 36.2539 [-(19+2*x)/(x+6)/(x-1) lgdogf] A179986 6.71959 [(20727*f(x)-70993)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+6*x) ogf] A179986 6.89957 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=19} ogf] A179991 10.4576 [(x-2)*(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A179991 12.2780 [-(3+x+x^5-5*x^4-11*x^2+9*x^3)/(x-1)/(x-2)/(x^2-x+1)/(x^2+x-1) lgdogf] A179991 4.44881 [{(n+5)*a(n+1)+a(n+2)+(-2*n-9)*a(n+3)+(n+4)*a(n+4),a(0)=2,a(1)=3,a(2)=8,a(3)=15} ogf] A179991 5.55334 [-(350*f(x)-641)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)-3*x+2) ogf] A179992 7.63217 [(x^4-4*x^3+6*x^2-3*x+2)/(x^2+x-1)/(x-1)^3 ogf] A179992 8.69757 [-(-5-2*x+x^6-6*x^5+14*x^4+16*x^2-12*x^3)/(x-1)/(x^2+x-1)/(x^4-4*x^3+6*x^2-3*x+2) lgdogf] A179994 10.4049 [x*(x^2+5*x+1)/(8*x^4-11*x^2+1) ogf] A179994 5.81174 [-(102992*f(x)+32943)*(8*f(x)*x^4-11*f(x)*x^2-x^3-5*x^2+f(x)-x) ogf] A179994 9.34308 [-(-5-24*x+120*x^4+32*x^3+16*x^5-55*x^2)/(x^2+5*x+1)/(8*x^4-11*x^2+1) lgdogf] A179995 5.04839 [(x^2+x+1)*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A179995 7.41564 [-3*(x+1)*(11*x^4+96*x^3+146*x^2+96*x+11)/(-1+x)/(x^2+x+1)/(x^4+26*x^3+66*x^2+26*x+1) lgdogf] A179999 7.61938 [-(x+1)*(x^2-x+1)*(x^2-x-1)/(x-1)/(x^4+x^2-1) ogf] A179999 8.97907 [2*(-1-4*x^6+2*x^5+2*x^7+5*x^4-x^2-2*x^3)/(x-1)/(x+1)/(x^2-x+1)/(x^2-x-1)/(x^4+x^2-1) lgdogf] A180002 6.14790 [-(3*x^6-4*x^5-16*x^4-133*x^3+16*x^2+4*x+4)/(x-1)/(x^6-38*x^3+1) ogf] A180003 5.93439 [-(x^6+x^5+5*x^4-32*x^3+5*x^2+x+1)/(x-1)/(x^6-38*x^3+1) ogf] A180027 3.18630 [{a(n+3)-102*a(n+2)+201*a(n+1)-100*a(n),a(0)=1,a(1)=112,a(2)=11223} ogf] A180027 5.7328 [(6169506172841*f(x)-694452912000)*(100*f(x)*x^3-201*f(x)*x^2+102*f(x)*x-f(x)+10*x+1) ogf] A180027 6.58502 [-(10*x+1)/(100*x-1)/(x-1)^2 ogf] A180027 8.37307 [-2*(25*x+8)*(40*x-7)/(-1+x)/(10*x+1)/(100*x-1) lgdogf] A180028 12.5821 [-(3*x+1)/(3*x^2+6*x-1) ogf] A180028 13.8553 [1/6*(-1-6*x+(1+24*x+48*x^2)^(1/2))/(1+x) revogf] A180028 14.5845 [-3*(3+2*x+3*x^2)/(3*x+1)/(3*x^2+6*x-1) lgdogf] A180028 6.58364 [(20*f(x)+7)*(3*f(x)*x^2+6*f(x)*x-f(x)+3*x+1) ogf] A180028 6.90479 [{a(n+2)-6*a(n+1)-3*a(n),a(0)=1,a(1)=9} ogf] A180029 12.4489 [-(2*x+1)/(2*x^2+6*x-1) ogf] A180029 13.7055 [1/4*(-1-6*x+(1+20*x+44*x^2)^(1/2))/(1+x) revogf] A180029 16.1241 [-4*(2+x^2+x)/(1+2*x)/(2*x^2+6*x-1) lgdogf] A180029 6.51398 [(13*f(x)+3)*(2*f(x)*x^2+6*f(x)*x-f(x)+2*x+1) ogf] A180029 6.83173 [{a(n+2)-6*a(n+1)-2*a(n),a(0)=1,a(1)=8} ogf] A180030 13.5989 [-(x+1)/(8*x^2+5*x-1) ogf] A180030 14.2802 [1/2/(8*x+1)*(-5*x-1+(57*x^2+14*x+1)^(1/2)) revogf] A180030 15.7834 [-2*(2*x+3)*(2*x+1)/(x+1)/(8*x^2+5*x-1) lgdogf] A180030 6.87583 [(433*f(x)-109)*(8*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A180030 7.46279 [{-a(n+2)+5*a(n+1)+8*a(n),a(0)=1,a(1)=6} ogf] A180031 12.1826 [1/2/(3+8*x)*(-5*x-1+((1+3*x)*(1+19*x))^(1/2)) revogf] A180031 12.4489 [-(3*x+1)/(8*x^2+5*x-1) ogf] A180031 14.4268 [-8*(1+2*x+3*x^2)/(3*x+1)/(8*x^2+5*x-1) lgdogf] A180031 6.22447 [-(11*f(x)+5)*(8*f(x)*x^2+5*f(x)*x-f(x)+3*x+1) ogf] A180031 6.83173 [{a(n+2)-5*a(n+1)-8*a(n),a(0)=1,a(1)=8} ogf] A180032 13.5312 [-(x+1)/(7*x^2+5*x-1) ogf] A180032 14.2078 [1/2/(7*x+1)*(-5*x-1+(53*x^2+14*x+1)^(1/2)) revogf] A180032 17.0493 [-(6+14*x+7*x^2)/(x+1)/(7*x^2+5*x-1) lgdogf] A180032 6.84162 [-(5*f(x)-1)*(7*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A180032 7.42566 [{-a(n+2)+5*a(n+1)+7*a(n),a(0)=1,a(1)=6} ogf] A180033 13.2606 [-(x+1)/(5*x^2+5*x-1) ogf] A180033 13.2852 [1/2/(5*x+1)*(-5*x-1+((5*x+1)*(1+9*x))^(1/2)) revogf] A180033 16.7014 [-(6+10*x+5*x^2)/(x+1)/(5*x^2+5*x-1) lgdogf] A180033 6.93868 [(10*f(x)-1)*(5*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A180033 7.27715 [{a(n+2)-5*a(n+1)-5*a(n),a(0)=1,a(1)=6} ogf] A180034 12.8546 [-(2*x-1)/(2*x^2-6*x+1) ogf] A180034 14.1570 [-1/4*(-1-6*x+(1+4*x+28*x^2)^(1/2))/(1+x) revogf] A180034 16.1794 [-4*(1-x+x^2)/(-1+2*x)/(2*x^2-6*x+1) lgdogf] A180034 6.2876 [-(113*f(x)-49)*(2*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A180034 7.05438 [{a(n+2)-6*a(n+1)+2*a(n),a(0)=1,a(1)=4} ogf] A180035 12.9223 [-(x+1)/(3*x^2+5*x-1) ogf] A180035 13.5554 [1/2/(1+3*x)*(-5*x-1+(1+14*x+37*x^2)^(1/2)) revogf] A180035 16.7449 [-3*(2+2*x+x^2)/(x+1)/(3*x^2+5*x-1) lgdogf] A180035 6.32069 [-(133*f(x)+11)*(3*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A180035 7.09150 [{a(n+2)-5*a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A180036 12.5164 [(2*x-1)/(3*x^2+5*x-1) ogf] A180036 13.1204 [1/2/(-2+3*x)*(-5*x-1+(37*x^2+2*x+1)^(1/2)) revogf] A180036 14.1297 [-3*(-1-2*x+2*x^2)/(2*x-1)/(3*x^2+5*x-1) lgdogf] A180036 6.47398 [(13*f(x)-10)*(3*f(x)*x^2+5*f(x)*x-f(x)-2*x+1) ogf] A180036 6.86873 [{-a(n+2)+5*a(n+1)+3*a(n),a(0)=1,a(1)=3} ogf] A180037 12.4487 [1/2/(2*x+1)*(-5*x-1+((1+3*x)*(1+11*x))^(1/2)) revogf] A180037 12.7193 [-(x+1)/(2*x^2+5*x-1) ogf] A180037 6.22142 [-(137*f(x)+25)*(2*f(x)*x^2+5*f(x)*x-f(x)+x+1) ogf] A180037 6.98012 [{a(n+2)-5*a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A180038 13.5319 [(3*x-1)/(2*x^2+5*x-1) ogf] A180038 14.2041 [1/2/(-3+2*x)*(-5*x-1+(33*x^2-2*x+1)^(1/2)) revogf] A180038 15.6992 [-2*(3*x+1)*(x-1)/(3*x-1)/(2*x^2+5*x-1) lgdogf] A180038 6.99926 [(19*f(x)-17)*(2*f(x)*x^2+5*f(x)*x-f(x)-3*x+1) ogf] A180038 7.42604 [{-a(n+2)+5*a(n+1)+2*a(n),a(0)=1,a(1)=2} ogf] A180046 10.6081 [-(x+1)*(2*x^2+1)/(x^4+x^3-x^2+x-1) ogf] A180046 11.1297 [-(2+2*x+7*x^4+2*x^3+6*x^2+4*x^5+2*x^6)/(x+1)/(2*x^2+1)/(x^4+x^3-x^2+x-1) lgdogf] A180046 5.71205 [-(82*f(x)+45)*(f(x)*x^4+f(x)*x^3-f(x)*x^2+2*x^3+f(x)*x+2*x^2-f(x)+x+1) ogf] A180053 10.6354 [-1001*f(x)*x+f(x)+900*x-1 ogf] A180053 12.6612 [(-1+900*x)/(1001*x-1) ogf] A180053 6.90612 [{a(n+2)-1001*a(n+1),a(0)=1,a(1)=101} ogf] A180083 12.2334 [[2] ogf_with_Euler_transform] A180084 7.19370 [[2] ogf_with_Euler_transform] A180115 2.86618 [-(1000*x^4+110*x^3+90*x^2-110*x-1)/(x+1)/(x-1)^2/(10*x+1)^2/(10*x-1)^2 ogf] A180118 11.1971 [2*x*(x^2-3*x+3)/(x-1)^4 ogf] A180118 20.9510 [-(9-7*x+2*x^2)/(x-1)/(x^2-3*x+3) lgdogf] A180118 4.10746 [{(9+3*n)*a(n+4)+(-21-6*n)*a(n+3)+(11+4*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=6,a(2)=18,a(3)=38} ogf] A180118 5.83846 [-(43*f(x)-525)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+6*x^2+f(x)-6*x) ogf] A180119 18.6970 [-x/(x-1)^3 egf] A180119 6.90611 [{(n^2+5*n+6)*a(n+1)+(-1-n)*a(n+2),a(0)=0,a(1)=1} ogf] A180119 65.5138 [-3/(x-1) lgdegf] A180119 9.95557 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+x egf] A180140 11.5362 [-(x^2+x+1)/(5*x^2+3*x-1) ogf] A180140 15.7600 [-2*(2+6*x+x^2)/(x^2+x+1)/(5*x^2+3*x-1) lgdogf] A180140 5.93613 [{-a(n+3)+3*a(n+2)+5*a(n+1),a(0)=1,a(1)=4,a(2)=18} ogf] A180140 6.30331 [(-143+303*f(x))*(5*f(x)*x^2+3*f(x)*x+x^2-f(x)+x+1) ogf] A180141 11.7729 [(2*x+1)*(x-1)/(6*x^2+3*x-1) ogf] A180141 14.2191 [4*(1+2*x+3*x^2)/(x-1)/(2*x+1)/(6*x^2+3*x-1) lgdogf] A180141 6.05789 [{-a(n+3)+3*a(n+2)+6*a(n+1),a(0)=1,a(1)=4,a(2)=16} ogf] A180141 6.36697 [-(1+11*f(x))*(6*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+x+1) ogf] A180142 11.9327 [(x^2-x-1)/(3*x^2+3*x-1) ogf] A180142 15.8902 [2*(2+2*x+3*x^2)/(3*x^2+3*x-1)/(x^2-x-1) lgdogf] A180142 6.14012 [{a(n+3)-3*a(n+2)-3*a(n+1),a(0)=1,a(1)=4,a(2)=14} ogf] A180142 7.56932 [-(35+61*f(x))*(3*f(x)*x^2+3*f(x)*x-x^2-f(x)+x+1) ogf] A180143 10.8165 [(x^2+1)/(x-1)/(2*x^2+3*x-1) ogf] A180143 13.4184 [-2*(-2+5*x^2+x^4)/(x-1)/(x^2+1)/(2*x^2+3*x-1) lgdogf] A180143 5.45612 [{-a(n+3)+4*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A180143 5.76208 [(f(x)-1)*(2*f(x)*x^3+f(x)*x^2-4*f(x)*x-x^2+f(x)-1) ogf] A180144 10.7050 [-(2*x^2-1)/(x-1)/(2*x^2+3*x-1) ogf] A180144 11.7152 [-2*(2-3*x+x^2+2*x^4)/(-1+x)/(2*x^2-1)/(2*x^2+3*x-1) lgdogf] A180144 5.39988 [{-a(n+3)+4*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A180144 5.64987 [(11*f(x)-6)*(2*f(x)*x^3+f(x)*x^2-4*f(x)*x+2*x^2+f(x)-1) ogf] A180145 10.9467 [-(3*x^2-1)/(x-1)/(6*x^2+3*x-1) ogf] A180145 12.7379 [-2*(2+9*x^4-3*x^2)/(x-1)/(6*x^2+3*x-1)/(3*x^2-1) lgdogf] A180145 5.52180 [{a(n+3)-4*a(n+2)-3*a(n+1)+6*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A180145 5.77744 [(35*f(x)-3)*(6*f(x)*x^3-3*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-1) ogf] A180146 15.2951 [1/(x-1)/(6*x^2+3*x-1) ogf] A180146 16.1725 [-2*(3*x+1)*(3*x-2)/(6*x^2+3*x-1)/(x-1) lgdogf] A180146 5.54954 [{a(n+3)-4*a(n+2)-3*a(n+1)+6*a(n),a(0)=1,a(1)=4,a(2)=19} ogf] A180146 5.86074 [-(197*f(x)+100)*(6*f(x)*x^3-3*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A180147 11.0228 [(3*x+1)/(x-1)/(6*x^2+3*x-1) ogf] A180147 11.4368 [-(-7-6*x+36*x^3+9*x^2)/(x-1)/(3*x+1)/(6*x^2+3*x-1) lgdogf] A180147 5.16997 [{a(n+3)-4*a(n+2)-3*a(n+1)+6*a(n),a(0)=1,a(1)=7,a(2)=31} ogf] A180147 7.21243 [6*f(x)*x^3-3*f(x)*x^2-4*f(x)*x+f(x)-3*x-1 ogf] A180148 14.3777 [(x-2)/(x^2+3*x-1) ogf] A180148 16.2595 [1/2/(x-1)*(-2-3*x+(4+8*x+13*x^2)^(1/2)) revogf] A180148 21.1373 [-(x+1)*(x-5)/(x-2)/(x^2+3*x-1) lgdogf] A180148 7.89018 [{-a(n+2)+3*a(n+1)+a(n),a(0)=2,a(1)=5} ogf] A180148 8.36636 [-(19*f(x)-13)*(f(x)*x^2+3*f(x)*x-f(x)-x+2) ogf] A180153 10.6138 [1/(100*x-1)/(x-1)/(10*x-1)^2 ogf] A180153 2.93775 [{(n+4)*a(n+4)+(-454-111*n)*a(n+3)+(5450+1110*n)*a(n+2)+(-5000-1000*n)*a(n+1),a(0)=1,a(1)=121,a(2)=12421,a(3)=1246421} ogf] A180153 4.41648 [(343536686767*f(x)+151480000)*(10000*f(x)*x^4-12100*f(x)*x^3+2220*f(x)*x^2-121*f(x)*x+f(x)-1) ogf] A180158 4.11559 [-(x+1)/(x^8+x^7+x^6+x^5+x^4+x^3-1) ogf] A180167 15.7986 [-(x+1)/(6*x^2+6*x-1) ogf] A180167 7.64003 [1/2/(1+6*x)*(-1-6*x+((1+6*x)*(1+10*x))^(1/2)) revogf] A180167 8.26674 [(54*f(x)-5)*(6*f(x)*x^2+6*f(x)*x-f(x)+x+1) ogf] A180167 8.66999 [{a(n+2)-6*a(n+1)-6*a(n),a(0)=1,a(1)=7} ogf] A180167 9.82289 [-(7+12*x+6*x^2)/(x+1)/(6*x^2+6*x-1) lgdogf] A180168 16.9919 [-(x+1)/(5*x^2+2*x-1) ogf] A180168 5.95092 [1/2/(5*x+1)*(-2*x-1+(1+8*x+24*x^2)^(1/2)) revogf] A180168 6.97108 [-(3+10*x+5*x^2)/(x+1)/(5*x^2+2*x-1) lgdogf] A180168 8.5914 [-(2*f(x)-1)*(5*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A180168 9.32482 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=1,a(1)=3} ogf] A180169 5.87790 [(725590016*x^12-362795008*x^11+93184*x^7-46592*x^6+2560*x^5-1280*x^4+2*x^2-x-1)/(2*x-1) ogf] A180175 12.6910 [-(x-1)/(10*x-1)/(x^2+x-1) ogf] A180175 14.0005 [-(10+20*x^3-18*x-21*x^2)/(x-1)/(10*x-1)/(x^2+x-1) lgdogf] A180175 5.96585 [{-a(n+3)+11*a(n+2)-9*a(n+1)-10*a(n),a(0)=1,a(1)=10,a(2)=101} ogf] A180175 6.17704 [(72809*f(x)-16480)*(10*f(x)*x^3+9*f(x)*x^2-11*f(x)*x+f(x)+x-1) ogf] A180176 8.22988 [-(9*x^22+2*x^21-11*x^20-20*x^12+20*x^10+9*x^2-x-10)/(x-1)^2/(x+1) ogf] A180189 16.8510 [-x*(4+x^2-3*x)/(x-1)/(x^2-2*x+2) lgdegf] A180189 3.30438 [{(-n^2-7*n-12)*a(n+1)+(-n^2-5*n-4)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=0} ogf] A180191 3.59570 [{(n^2+5*n+6)*a(n+1)+(n^2+5*n+6)*a(n+2)+(-2*n-7)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=13} ogf] A180208 4.13059 [-(2*f(x)*x-f(x)+1)^3 ogf] A180209 4.39437 [-(2*f(x)*x-f(x)+1)^3 ogf] A180210 3.55055 [(2*f(x)*x-f(x)+1)^2 ogf] A180211 3.10822 [(2*f(x)*x-f(x)+1)^2 ogf] A180218 3.19118 [{(n^3+11*n^2+38*n+40)*a(n+1)+(-2*n^2-15*n-25)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=6,a(2)=36} ogf] A180221 11.6255 [-(x^8-x^7+x^4-x^2+x-2)/(x-1)^2 ogf] A180221 13.7205 [(3+x+2*x^4-4*x^3+6*x^8-13*x^7+7*x^6)/(x-1)/(x^8-x^7+x^4-x^2+x-2) lgdogf] A180222 12.0658 [-8*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A180222 19.2401 [-x/(8*x^2+4*x-1) ogf] A180222 19.5097 [1/16/x*(-4*x-1+(48*x^2+8*x+1)^(1/2)) revogf] A180222 29.2645 [-4*(1+4*x)/(8*x^2-1+4*x) lgdogf] A180222 8.78868 [{-a(n+2)+4*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A180223 12.1180 [-x*(9*x+2)/(x-1)^3 ogf] A180223 28.3160 [-3*(5+6*x)/(9*x+2)/(x-1) lgdogf] A180223 5.75604 [-(56023*f(x)-196833)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+2*x) ogf] A180223 6.16718 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=15} ogf] A180226 12.0766 [-10*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A180226 19.0683 [-x/(10*x^2+4*x-1) ogf] A180226 19.8628 [1/20/x*(-4*x-1+(56*x^2+8*x+1)^(1/2)) revogf] A180226 28.6024 [-4*(1+5*x)/(10*x^2-1+4*x) lgdogf] A180226 8.83652 [{-a(n+2)+4*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A180232 14.3734 [-x*(15*x+2)/(x-1)^3 ogf] A180232 31.6246 [-3*(7+10*x)/(15*x+2)/(x-1) lgdogf] A180232 7.12529 [(41905*f(x)-229881)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+2*x) ogf] A180232 7.44338 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=21} ogf] A180236 11.4590 [-(91*x^3-91*x^2+10*x+101)/(x^4+x^2-1) ogf] A180236 5.89803 [-(1858644458582*f(x)-116708442988521)*(f(x)*x^4+f(x)*x^2+91*x^3-91*x^2-f(x)+10*x+101) ogf] A180236 7.81658 [-(10+404*x^3-61*x^4-182*x^5+20*x+91*x^6+283*x^2)/(91*x^3-91*x^2+10*x+101)/(x^4+x^2-1) lgdogf] A180250 11.7058 [-10*f(x)*x^2-5*f(x)*x+f(x)-x ogf] A180250 18.4829 [-x/(10*x^2+5*x-1) ogf] A180250 18.7282 [1/20/x*(-5*x-1+(65*x^2+10*x+1)^(1/2)) revogf] A180250 27.7177 [-5*(1+4*x)/(10*x^2-1+5*x) lgdogf] A180250 8.56524 [{-a(n+2)+5*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A180254 12.7949 [6*f(x)^3*x-f(x)^3-3*f(x)+4 egf] A180254 20.3513 [1/12+1/2*x-1/12*(-(4*x-1)^3)^(1/2) revegf] A180260 20.3301 [-(f(x)-1)^3 ogf] A180266 3.46055 [-64*f(x)^2*x^3+48*f(x)^2*x^2+128*f(x)*x^3-100*x^4-12*f(x)^2*x-96*f(x)*x^2+76*x^3+f(x)^2+24*f(x)*x-21*x^2-2*f(x)+2*x ogf] A180274 5.21451 [-2*(25*x^11+19*x^10+17*x^9+17*x^8+19*x^7+25*x^6-215*x^5-137*x^4-91*x^3-79*x^2-53*x-35)/(x^12-10*x^6+1) ogf] A180291 11.9628 [-(x^3-3*x^2+3*x+1)/(x-1)^3 ogf] A180291 31.1457 [-6/(x-1)/(x^3-3*x^2+3*x+1) lgdogf] A180291 6.15997 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=12,a(3)=20} ogf] A180291 8.50966 [-f(x)*x^3+3*f(x)*x^2-x^3-3*f(x)*x+3*x^2+f(x)-3*x-1 ogf] A180292 10.2422 [2*(9+29*x^3-15*x^4+3*x^5+5*x-25*x^2)/(x-1)/(6*x^5-16*x^4+6*x^3+16*x^2-14*x-1) lgdogf] A180292 8.37082 [-(6*x^5-16*x^4+6*x^3+16*x^2-14*x-1)/(x-1)^4 ogf] A180293 5.95372 [-(15*x^7-25*x^6-61*x^5+167*x^4-93*x^3-45*x^2+45*x+1)/(x-1)^5 ogf] A180293 6.50692 [2*(-25-241*x^3+69*x^4+75*x^5-45*x+15*x^7-65*x^6+207*x^2)/(x-1)/(15*x^7-25*x^6-61*x^5+167*x^4-93*x^3-45*x^2+45*x+1) lgdogf] A180294 4.72029 [-(28*x^9-21*x^8-182*x^7+139*x^6+696*x^5-1298*x^4+678*x^3+90*x^2-134*x-1)/(x-1)^6 ogf] A180295 3.61412 [-(45*x^11+9*x^10-343*x^9-259*x^8+1966*x^7-98*x^6-6230*x^5+8548*x^4-4011*x^3-7*x^2+385*x+1)/(x-1)^7 ogf] A180312 15.0764 [-(3*x^4+2*x^3+1)/(-x^5-x^4-x-1) ogf_with_Euler_transform] A180312 99.9999 Evaluated at exp(-Pi) 1/64*exp(9/8*Pi)*2^(1/8)/Pi^(3/4)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^(1/2) A180313 10.0217 [(26*f(x)-53)*(17*f(x)*x^2-38*x^2-f(x)+5*x+3) ogf] A180313 15.5239 [(38*x^2-5*x-3)/(17*x^2-1) ogf] A180313 18.9923 [(5+26*x+85*x^2)/(38*x^2-5*x-3)/(17*x^2-1) lgdogf] A180313 9.20602 [{a(n+3)-17*a(n+1),a(0)=3,a(1)=5,a(2)=13} ogf] A180318 99.9999 Evaluated at exp(-Pi) 1/3*Pi*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)*2^(1/2)*(3^(1/2)-1)/GAMMA(7/12) A180319 11.7034 [4*x*(x^2-7*x-2)/(x-1)^3 ogf] A180319 24.5575 [-(x+1)*(x-13)/(x-1)/(x^2-7*x-2) lgdogf] A180319 5.76435 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=8,a(2)=52,a(3)=128} ogf] A180319 6.08207 [-(5296*f(x)-84315)*(f(x)*x^3-3*f(x)*x^2-4*x^3+3*f(x)*x+28*x^2-f(x)+8*x) ogf] A180324 19.0032 [-(25+46*x+9*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A180324 8.27015 [-x*(x+3)*(3*x+1)/(x-1)^5 ogf] A180343 10.3169 [(9*x^4+2*x^3+x^2+6*x-4)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A180343 7.78276 [-2*(1-6*x^3-2*x^4+23*x^5-x+4*x^7+2*x^6+9*x^8-2*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+1)/(9*x^4+2*x^3+x^2+6*x-4) lgdogf] A180354 14.9308 [-6*(-4+x^3-7*x-10*x^2)/(x-1)/(3*x^3-23*x^2+x-5) lgdogf] A180354 3.71003 [{(346*n^2+1901*n+2418)*a(n+1)+(-440*n^2-920*n+744)*a(n+2)+(94*n^2+27*n-322)*a(n+3),a(0)=0,a(1)=5,a(2)=24} ogf] A180354 7.74266 [x*(3*x^3-23*x^2+x-5)/(x-1)^5 ogf] A180355 12.4298 [-(7+37*x+67*x^2+7*x^3+2*x^4)/(x-1)/(x^4+x^3+16*x^2+x+1) lgdogf] A180355 6.36555 [6*x*(x^4+x^3+16*x^2+x+1)/(x-1)^6 ogf] A180356 5.13245 [x*(5*x^5-87*x^4-242*x^3-362*x^2-27*x-7)/(x-1)^7 ogf] A180356 7.44341 [-2*(-38-443*x-1268*x^2-658*x^3-118*x^4+5*x^5)/(x-1)/(5*x^5-87*x^4-242*x^3-362*x^2-27*x-7) lgdogf] A180357 3.81177 [2*x*(4*x^6+39*x^5+648*x^4+1138*x^3+648*x^2+39*x+4)/(x-1)^8 ogf] A180357 5.41316 [-(71+1569*x+8*x^6+141*x^5+8282*x^3+2787*x^4+7302*x^2)/(x-1)/(4*x^6+39*x^5+648*x^4+1138*x^3+648*x^2+39*x+4) lgdogf] A180358 3.60844 [x*(7*x^7-303*x^6-4125*x^5-15899*x^4-15339*x^3-4461*x^2-191*x-9)/(x-1)^9 ogf] A180359 5.28238 [10*x*(x^8+43*x^7+1486*x^6+8773*x^5+15682*x^4+8773*x^3+1486*x^2+43*x+1)/(x-1)^10 ogf] A180364 25.1455 [-(-2-x+(4+3*x)^(1/2))/(1+x) revogf] A180364 3.27538 [{(-2*n^3-18*n^2-51*n-46)*a(n+1)+(12*n^3+90*n^2+184*n+85)*a(n+2)+(-2*n^3-12*n^2-21*n-9)*a(n+3),a(0)=1,a(1)=19,a(2)=205} ogf] A180364 33.9464 [-(x-7)/(-1+x)/(-4+x) lgdogf] A180374 4.51499 [{a(n+4)-6*a(n+3)-18*a(n+2)+32*a(n+1),a(0)=1,a(1)=21,a(2)=156,a(3)=1236} ogf] A180374 4.93828 [(337*f(x)+668)*(32*f(x)*x^3-18*f(x)*x^2+46*x^3-6*f(x)*x-12*x^2+f(x)-15*x-1) ogf] A180374 7.84957 [-3*(7+20*x+148*x^4-136*x^3-12*x^2)/(32*x^3-18*x^2-6*x+1)/(46*x^3-12*x^2-15*x-1) lgdogf] A180374 8.54188 [-(46*x^3-12*x^2-15*x-1)/(32*x^3-18*x^2-6*x+1) ogf] A180399 12.7546 [x^2+x-f(x)+3*f(x)^2-3*f(x)^3 ogf] A180399 20.6420 [-1/2+1/2*(1+4*x-12*x^2+12*x^3)^(1/2) revogf] A180399 3.60056 [{(18*n^2-12*n)*a(n)+(27*n^2+33*n+6)*a(n+1)+(7*n^2+29*n+30)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A180400 24.5900 [-3*(1+2*x)/(9*x^2-1+9*x) lgdogf] A180400 3.93557 [{(n+3)*a(n+3)+(-21-9*n)*a(n+2)+(-15-9*n)*a(n+1),a(0)=1,a(1)=3,a(2)=21} ogf] A180400 9.55781 [-9*f(x)^3*x^2-9*f(x)^3*x+f(x)^3-1 ogf] A180413 13.0325 [144*x/(x-1)^4 ogf] A180413 5.73427 [-(7*f(x)+648)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-144*x) ogf] A180413 54.6521 [[4] ogf_with_Euler_transform] A180413 6.82652 [{(n+1)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=144} ogf] A180413 88.2869 [-4/(x-1) lgdogf] A180415 12.0526 [(x^3-x+1)/(x-1)^4 ogf] A180415 24.0068 [-(3+x^3-3*x+3*x^2)/(x-1)/(x^3-x+1) lgdogf] A180415 4.49531 [{(-19*n^2-117*n-158)*a(n+1)+(36*n^2+160*n+68)*a(n+2)+(-17*n^2-49*n+6)*a(n+3),a(0)=1,a(1)=3,a(2)=6} ogf] A180415 6.44676 [(2*f(x)-3)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)+x-1) ogf] A180463 18.948 [-(f(x)-37*x-1)^3 ogf] A180464 5.54838 [(f(x)-1)^2*(4639768895493487*x^5+888215331*f(x)*x-25745371*f(x)-888215331*x+25745371) ogf] A180473 6.46904 [1/2*((5*x^2+2*x+1)^(1/2)*x+2*(5*x^2+2*x+1)^(1/2)-2-3*x-3*x^2)/x/(1+x) revogf] A180473 6.69412 [f(x)^2*x^3+3*f(x)^2*x^2+f(x)^2*x+f(x)*x^2+3*f(x)*x-2*f(x)+2 ogf] A180483 7.20909 [-2*(3+5*x+x^8-26*x^6+11*x^5+140*x^4-29*x^3-3*x^7-22*x^2)/(x-1)/(2*x^4-3*x^3-25*x^2+3*x+3)/(x^4-10*x^2+1) lgdogf] A180483 7.94869 [-(2*x^4-3*x^3-25*x^2+3*x+3)/(x-1)/(x^4-10*x^2+1) ogf] A180486 10.4356 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=8} ogf] A180486 19.0159 [-(2*x-5)/(x-1)^2 ogf] A180486 23.9811 [-1/2*(-5-2*x+(12*x+25)^(1/2))/(x+2) revogf] A180486 36.4930 [-2*(-4+x)/(x-1)/(2*x-5) lgdogf] A180486 9.95021 [(3*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)+2*x-5) ogf] A180488 11.1867 [-(-3+12*x^2-12*x^3+5*x^4)/(-1+x)/(x^4-2*x^3+2*x^2+2*x-1) lgdogf] A180488 12.0085 [x/(x-1)/(x^4-2*x^3+2*x^2+2*x-1) ogf] A180500 4.59785 [-(f(x)*x-f(x)+1)^3 ogf] A180503 4.97065 [-(f(x)*x-f(x)+1)^3 ogf] A180509 5.73720 [-(5*x^8-6*x^7-14*x^6-78*x^5-605*x^4+78*x^3+14*x^2+6*x+6)/(x-1)/(x^8-110*x^4+1) ogf] A180510 10.2806 [x*(x^4+2*x^3+x^2+2*x+1)/(x^6+x^5-2*x^4-5*x^3-2*x^2+x+1) ogf] A180510 9.20846 [-(-1-36*x^3-6*x+2*x^9+7*x^8+8*x^7+14*x^6+14*x^5-26*x^2-11*x^4)/(x^4+2*x^3+x^2+2*x+1)/(x^6+x^5-2*x^4-5*x^3-2*x^2+x+1) lgdogf] A180516 18.1649 [x*(x^2+x+1)/(x-1)/(4*x^3-1) ogf] A180516 19.4850 [-(-2+8*x^3-2*x+8*x^5-11*x^2+8*x^4)/(x-1)/(4*x^3-1)/(x^2+x+1) lgdogf] A180516 9.8393 [-(4*f(x)+11)*(4*f(x)*x^4-4*f(x)*x^3-x^3-f(x)*x-x^2+f(x)-x) ogf] A180567 3.74216 [-2*x^2*(x^7-2*x^6-6*x^5+6*x^4+6*x^3-8*x^2+3*x-2)/(x+1)^2/(x^2-3*x+1)^2/(x^2+x-1)^2 ogf] A180569 11.0969 [-(4*x^2-9*x-4)/(x-1)^4 ogf] A180569 20.2981 [-(-25-19*x+8*x^2)/(x-1)/(4*x^2-9*x-4) lgdogf] A180569 3.73504 [{(-4*n-16)*a(n+4)+(10-5*n)*a(n+3)+(45+13*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=4,a(1)=25,a(2)=72,a(3)=154} ogf] A180569 5.39214 [(3160944*f(x)+51263545)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-9*x-4) ogf] A180571 12.8317 [-2*(-68+8*x^3+81*x-39*x^2)/(x-1)/(16*x^3-63*x^2+96*x-58) lgdogf] A180571 5.62115 [(905*f(x)+64198)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+16*x^3-4*f(x)*x-63*x^2+f(x)+96*x-58) ogf] A180571 9.04959 [-(16*x^3-63*x^2+96*x-58)/(x-1)^4 ogf] A180574 6.76295 [-(5*x^2-2*x-9)*(2*x^3-3*x^2+3)/(x+1)^2/(x-1)^4 ogf] A180574 8.69219 [-2*(-30+34*x^3-45*x+5*x^6-9*x^5+9*x^2-12*x^4)/(x-1)/(x+1)/(5*x^2-2*x-9)/(2*x^3-3*x^2+3) lgdogf] A180576 7.38431 [-(-148+170*x^3-214*x+27*x^6-46*x^5+65*x^2-70*x^4)/(x-1)/(x+1)/(27*x^5-50*x^4-35*x^3+110*x^2-10*x-69) lgdogf] A180576 7.59265 [-(6*x^4+x^3-11*x^2-19*x-4)/(x+1)^2/(x-1)^4 ogf] A180577 13.4260 [-5*(7*x+3)/(x-1)^3 ogf] A180577 30.1617 [-2*(8+7*x)/(7*x+3)/(x-1) lgdogf] A180577 6.36578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=80,a(2)=195} ogf] A180577 6.53478 [(3620*f(x)-113709)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+35*x+15) ogf] A180578 13.4589 [-9*(7*x+3)/(x-1)^3 ogf] A180578 30.2415 [-2*(8+7*x)/(7*x+3)/(x-1) lgdogf] A180578 6.32683 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27,a(1)=144,a(2)=351} ogf] A180578 6.43685 [(18100*f(x)-1023381)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+63*x+27) ogf] A180579 13.4260 [-3*(11*x+5)/(x-1)^3 ogf] A180579 26.8104 [-2*(11*x+13)/(11*x+5)/(x-1) lgdogf] A180579 6.31137 [(838400*f(x)-25375743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+33*x+15) ogf] A180579 6.36578 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=78,a(2)=189} ogf] A180582 5.97291 [(x+1)*(6*x^6-14*x^5-2*x^4-24*x^3+16*x^2-2*x+1)/(12*x^7+32*x^6+36*x^5+28*x^4-10*x^3-9*x+1) ogf] A180592 9.76871 [-x*(9*x^8+7*x^7+5*x^6+3*x^5+x^4+8*x^3+6*x^2+4*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A180593 13.7965 [-(2+4*x^3+6*x+3*x^2+3*x^4)/(x-1)/(x^2+x+1)/(3*x^2+2*x+1) lgdogf] A180593 14.8302 [-3*x*(3*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A180593 8.27368 [{a(n+4)-a(n+1),a(0)=0,a(1)=3,a(2)=6,a(3)=9} ogf] A180593 9.825 [(13*f(x)+2)*(f(x)*x^3+9*x^3+6*x^2-f(x)+3*x) ogf] A180594 9.76871 [-x*(9*x^8+5*x^7+x^6+6*x^5+2*x^4+7*x^3+3*x^2+8*x+4)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A180595 9.76871 [-x*(9*x^8+4*x^7+8*x^6+3*x^5+7*x^4+2*x^3+6*x^2+x+5)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A180596 10.3857 [{-a(n+4)+a(n+1),a(0)=0,a(1)=6,a(2)=3,a(3)=9} ogf] A180596 12.333 [(23*f(x)+5)*(f(x)*x^3+9*x^3+3*x^2-f(x)+6*x) ogf] A180596 18.0125 [-(1+2*x^3+6*x+6*x^2+3*x^4)/(x-1)/(x^2+x+1)/(3*x^2+x+2) lgdogf] A180596 18.6158 [-3*x*(3*x^2+x+2)/(x-1)/(x^2+x+1) ogf] A180597 9.76871 [-x*(9*x^8+2*x^7+4*x^6+6*x^5+8*x^4+x^3+3*x^2+5*x+7)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A180598 9.76871 [-x*(9*x^8+x^7+2*x^6+3*x^5+4*x^4+5*x^3+6*x^2+7*x+8)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A180599 11.0704 [{-a(n+2)+a(n+1),a(0)=0,a(1)=9} ogf] A180599 110.372 [x/(9+x) revogf] A180599 13.322 [-f(x)*(f(x)*x-f(x)+9*x) ogf] A180599 27.1034 [-9*x/(x-1) ogf] A180599 60.3051 [[1] ogf_with_Euler_transform] A180599 96.5753 [-1/(x-1) lgdogf] A180664 5.04839 [-(10399*f(x)-7335)*(f(x)*x^4-3*f(x)*x^3-x^3+3*f(x)*x+2*x^2-f(x)+2*x) ogf] A180664 8.94585 [-(-8+2*x+15*x^2+4*x^3-9*x^4+2*x^5)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2-2*x-2) lgdogf] A180664 9.78611 [x*(x^2-2*x-2)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A180665 10.4882 [-x/(x-1)/(x^2-3*x+1)/(x+1)^2 ogf] A180665 13.6910 [-(2+4*x-13*x^2+5*x^3)/(-1+x)/(x+1)/(x^2-3*x+1) lgdogf] A180666 8.22231 [-x/(x-1)/(x^2+1)/(x^2-3*x+1)/(x+1)^2 ogf] A180666 9.58648 [-(2+2*x-5*x^2+9*x^3-19*x^4+7*x^5)/(x-1)/(x+1)/(1+x^2)/(x^2-3*x+1) lgdogf] A180667 5.19595 [-(44*x^4-218*x^3+1425*x^2+1408*x+41)/(x-1)^5 ogf] A180667 6.66292 [-(1613+8482*x+44*x^4-260*x^3+3621*x^2)/(x-1)/(44*x^4-218*x^3+1425*x^2+1408*x+41) lgdogf] A180668 12.2282 [-(-5+2*x+2*x^2+6*x^3+3*x^4)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A180668 8.50682 [-x^2*(x+1)^2/(x^3+x^2+x-1)/(x-1)^2 ogf] A180669 12.3105 [-(-7+4*x+4*x^2+8*x^3+3*x^4)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A180669 6.52798 [x^2*(x+1)^3/(x^3+x^2+x-1)/(x-1)^3 ogf] A180670 13.0606 [-(x+3)*(3*x^3+x^2+3*x-3)/(x-1)/(x+1)/(x^3+x^2+x-1) lgdogf] A180670 5.63960 [-x^2*(x+1)^4/(x^3+x^2+x-1)/(x-1)^4 ogf] A180671 16.0161 [x*(3*x+5)/(x-1)/(x^2+x-1) ogf] A180671 16.0736 [-(-13+6*x^3+15*x^2)/(x-1)/(3*x+5)/(x^2+x-1) lgdogf] A180671 8.26095 [(5695*f(x)+5187)*(f(x)*x^3-2*f(x)*x-3*x^2+f(x)-5*x) ogf] A180671 8.34884 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=5,a(2)=13} ogf] A180672 13.9860 [x*(5*x+8)/(x-1)/(x^2+x-1) ogf] A180672 15.3370 [-(-21+10*x^3+24*x^2)/(5*x+8)/(x-1)/(x^2+x-1) lgdogf] A180672 6.7853 [-(39376*f(x)+52395)*(f(x)*x^3-2*f(x)*x-5*x^2+f(x)-8*x) ogf] A180672 7.29060 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=8,a(2)=21} ogf] A180673 14.2658 [x*(8*x+13)/(x-1)/(x^2+x-1) ogf] A180673 15.6177 [-(-34+16*x^3+39*x^2)/(x-1)/(8*x+13)/(x^2+x-1) lgdogf] A180673 7.13288 [(269009*f(x)+603296)*(f(x)*x^3-2*f(x)*x-8*x^2+f(x)-13*x) ogf] A180673 7.50829 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=13,a(2)=34} ogf] A180674 13.6591 [x*(13*x+21)/(x-1)/(x^2+x-1) ogf] A180674 14.9178 [-(-55+26*x^3+63*x^2)/(x-1)/(13*x+21)/(x^2+x-1) lgdogf] A180674 6.5104 [-(1846131*f(x)+6597305)*(f(x)*x^3-2*f(x)*x-13*x^2+f(x)-21*x) ogf] A180674 7.33278 [{-a(n+3)+2*a(n+2)-a(n),a(0)=0,a(1)=21,a(2)=55} ogf] A180675 5.14312 [{a(n+3)-11*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A180675 6.38651 [f(x)*x^3-3*f(x)*x^2+11*f(x)*x-7*x^2-f(x)-10*x+1 ogf] A180675 8.75675 [-(-1+20*x-110*x^2+20*x^3+7*x^4)/(7*x^2+10*x-1)/(x^3-3*x^2+11*x-1) lgdogf] A180675 9.22495 [(7*x^2+10*x-1)/(x^3-3*x^2+11*x-1) ogf] A180676 3.91901 [(2*f(x)-15)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+17*x^3-20*f(x)*x+13*x^2+f(x)+19*x-1) ogf] A180676 5.79491 [-(1+524*x^3-38*x+17*x^6+26*x^5+335*x^2-97*x^4)/(17*x^3+13*x^2+19*x-1)/(x^4-4*x^3+6*x^2-20*x+1) lgdogf] A180676 6.87036 [-(17*x^3+13*x^2+19*x-1)/(x^4-4*x^3+6*x^2-20*x+1) ogf] A180677 3.9813 [(98*f(x)+37)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2+8*x^3-9*f(x)*x-12*x^2+f(x)+6*x-1) ogf] A180677 7.02870 [-(2*x-1)^3/(x-1)/(16*x^3-16*x^2+8*x-1) ogf] A180677 8.44162 [-(3-12*x-64*x^3+32*x^4+48*x^2)/(x-1)/(2*x-1)/(16*x^3-16*x^2+8*x-1) lgdogf] A180678 10.1239 [-(2*x-1)^2/(8*x^3-11*x^2+6*x-1) ogf] A180678 12.0550 [-2*(x-1)*(8*x^2-4*x+1)/(2*x-1)/(8*x^3-11*x^2+6*x-1) lgdogf] A180678 5.45809 [(69*f(x)-188)*(8*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A180678 5.55471 [{a(n+3)-6*a(n+2)+11*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A180688 5.00832 [-(f(x)-2236133941)^2*(f(x)*x^2-2*f(x)*x+f(x)+2013041071*x-2236133941) ogf] A180691 9.19132 [-(12*f(x)*x+35582976*x^2-f(x)+20724*x+1)^2 ogf] A180713 13.1422 [-2*(3+14*x^3+8*x+x^6+8*x^5+7*x^2+7*x^4)/(x-1)/(x+1)/(x^2+1)/(x^3+5*x^2+2*x+4) lgdogf] A180713 14.0363 [x*(x^3+5*x^2+2*x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A180715 25.7072 [-2*ln(1+x)-2*ln(1+x)*x+3*x revegf] A180735 10.8801 [-(x-1)*(x+1)/(x^3+x^2-x+1) ogf] A180735 15.2763 [-(1-4*x+x^4-2*x^2)/(x-1)/(1+x)/(x^3+x^2-x+1) lgdogf] A180735 5.53720 [{a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=-1} ogf] A180735 5.58709 [-(3*f(x)+1)*(f(x)*x^3+f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A180752 8.30067 [-x*(x^3+x^2+x-1)/(x-1)/(x+1)/(x^3+2*x-1) ogf] A180752 8.48662 [-(1+2*x^7-5*x^2+6*x^3-3*x^4+4*x^5+3*x^6)/(x-1)/(x+1)/(x^3+x^2+x-1)/(x^3+2*x-1) lgdogf] A180762 10.5763 [-(x-1)*(2*x^2+x+1)/(2*x^4-x^2-3*x+1) ogf] A180762 5.6349 [-(157*f(x)+24)*(2*f(x)*x^4-f(x)*x^2+2*x^3-3*f(x)*x-x^2+f(x)-1) ogf] A180762 9.11387 [-(3+4*x^3+4*x+4*x^6-4*x^5-9*x^2+2*x^4)/(x-1)/(2*x^2+x+1)/(2*x^4-x^2-3*x+1) lgdogf] A180763 4.20296 [-(x-1)*(2*x^6-3*x^5-5*x^4-x^3+7*x^2+7*x+1)/(2*x^8-4*x^7-3*x^6+x^5+10*x^4+5*x^3-8*x^2-5*x+1) ogf] A180844 13.6823 [-1/108*(-1-29*x+(1+58*x+625*x^2)^(1/2))/x revogf] A180844 16.2707 [x/(27*x-1)/(2*x-1) ogf] A180844 19.3440 [-(-29+108*x)/(27*x-1)/(2*x-1) lgdogf] A180844 6.86114 [{a(n+2)-29*a(n+1)+54*a(n),a(0)=0,a(1)=1} ogf] A180844 9.33567 [-54*f(x)*x^2+29*f(x)*x-f(x)+x ogf] A180845 12.1120 [-1/96*(-1-19*x+(1+38*x+169*x^2)^(1/2))/x revogf] A180845 14.0851 [x/(16*x-1)/(3*x-1) ogf] A180845 16.7062 [-(-19+96*x)/(-1+16*x)/(3*x-1) lgdogf] A180845 5.93951 [{a(n+2)-19*a(n+1)+48*a(n),a(0)=0,a(1)=1} ogf] A180845 8.08162 [-48*f(x)*x^2+19*f(x)*x-f(x)+x ogf] A180846 12.3437 [-1/324*(-1-83*x+(1+166*x+6241*x^2)^(1/2))/x revogf] A180846 14.9695 [x/(81*x-1)/(2*x-1) ogf] A180846 18.3027 [-(-83+324*x)/(81*x-1)/(2*x-1) lgdogf] A180846 6.41550 [{a(n+2)-83*a(n+1)+162*a(n),a(0)=0,a(1)=1} ogf] A180846 8.69197 [-162*f(x)*x^2+83*f(x)*x-f(x)+x ogf] A180847 13.6823 [-1/216*(-1-31*x+(1+62*x+529*x^2)^(1/2))/x revogf] A180847 15.8188 [x/(27*x-1)/(4*x-1) ogf] A180847 19.3440 [-(-31+216*x)/(27*x-1)/(4*x-1) lgdogf] A180847 6.77946 [{a(n+2)-31*a(n+1)+108*a(n),a(0)=0,a(1)=1} ogf] A180847 9.18509 [-108*f(x)*x^2+31*f(x)*x-f(x)+x ogf] A180853 15.2507 [-(5*x^4+7*x^3+9*x^2+6*x+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A180853 9.09045 [-(6+18*x+27*x^6+24*x^5+5*x^8+14*x^7+20*x^4+21*x^2+20*x^3)/(x-1)/(x^4+x^3+x^2+x+1)/(5*x^4+7*x^3+9*x^2+6*x+4) lgdogf] A180857 8.18850 [-2*(-22+18*x^3-41*x+3*x^6-5*x^5+7*x^2-8*x^4)/(x-1)/(x+1)/(6*x^5-11*x^4-8*x^3+24*x^2-2*x-21) lgdogf] A180857 8.43990 [-(x^4-8*x^2-4*x-1)/(x+1)^2/(x-1)^4 ogf] A180861 9.11605 [(x^4-x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A180861 9.73305 [-2*(-8+8*x^3-10*x+2*x^6-3*x^5+5*x^2-6*x^4)/(x-1)/(x+1)/(4*x^5-7*x^4-6*x^3+14*x^2-8) lgdogf] A180863 12.7493 [-(6*x^2-19*x+21)/(x-1)^3 ogf] A180863 19.6995 [-2*(22-13*x+3*x^2)/(x-1)/(6*x^2-19*x+21) lgdogf] A180863 6.79584 [(80064*f(x)-687959)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+3*x+6) ogf] A180863 6.98439 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=44,a(2)=75} ogf] A180898 8.21003 [1/2/(1+5*x+15*x^2+25*x^3+25*x^4)*(1+10*x^2+10*x^3+3*x+(5*x^2+2*x+1)^(1/2))*x revogf] A180907 10.2635 [1/2*(1+8*x^2+4*x+(1+8*x^2+4*x)^(1/2))*x/(2*x+1)/(1+8*x^2+4*x) revogf] A180907 4.80292 [16*f(x)^3*x^3-8*f(x)^3*x^2+f(x)^3*x+16*f(x)^2*x^2-4*f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A180919 11.0814 [(729*x^2-730*x-1)/(x-1)^3 ogf] A180919 16.4175 [-(-733-2*x+729*x^2)/(x-1)/(729*x^2-730*x-1) lgdogf] A180919 5.41569 [(806668*f(x)-26341903807653)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-729*x^2-f(x)+730*x+1) ogf] A180919 6.15631 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=733,a(2)=1467} ogf] A180920 10.3539 [-(x^2-30*x+1)/(x-1)/(x^2-62*x+1) ogf] A180920 5.30119 [(47453559*f(x)-12124)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x+x^2-f(x)-30*x+1) ogf] A180920 5.61567 [{-a(n+3)+63*a(n+2)-63*a(n+1)+a(n),a(0)=1,a(1)=33,a(2)=2017} ogf] A180920 7.58206 [-(33-124*x-60*x^3+x^4+1830*x^2)/(x-1)/(x^2-30*x+1)/(x^2-62*x+1) lgdogf] A180921 5.45905 [(x+1)*(x^2-1826*x+1)/(x^2-62*x+1)/(x^2-3842*x+1) ogf] A180926 11.8398 [-x/(x-1)/(x^2-62*x+1) ogf] A180926 14.3140 [-3*(21-42*x+x^2)/(x-1)/(x^2-62*x+1) lgdogf] A180926 4.46590 [{a(n+3)-63*a(n+2)+63*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=63} ogf] A180926 6.44447 [f(x)*x^3-63*f(x)*x^2+63*f(x)*x-f(x)+x ogf] A180958 7.22563 [(4*f(x)-3)*(f(x)*x^4+3*f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1) ogf] A180958 7.56472 [-(x^2+x-1)/(x+1)/(x^3+2*x^2-3*x+1) ogf] A180958 9.08346 [-(1+2*x^3+2*x^5-8*x^2+6*x^4)/(x+1)/(x^2+x-1)/(x^3+2*x^2-3*x+1) lgdogf] A180964 12.3717 [-(4+14*x^3+4*x+5*x^5+22*x^2+5*x^4)/(x-1)/(x^2+x+1)/(5*x^3+3*x+1) lgdogf] A180964 13.2464 [(5*x^3+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A180964 4.89714 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=4,a(2)=4,a(3)=10} ogf] A180964 7.21454 [(3*f(x)+17)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x+f(x)-3*x-1) ogf] A180965 12.3167 [-(x^3-2*x^2-1)/(x^4-2*x^3-2*x+1) ogf] A180965 13.1120 [-(2+4*x+x^6-4*x^5+4*x^4-x^2)/(x^3-2*x^2-1)/(x^4-2*x^3-2*x+1) lgdogf] A180965 6.7276 [(692*f(x)+259)*(f(x)*x^4-2*f(x)*x^3+x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A180967 3.94626 [8*f(x)^2*x^4-4*f(x)^2*x^3-2*f(x)^2*x^2-16*f(x)*x^3+f(x)^2*x+16*f(x)*x^2+4*f(x)*x+16*x^2-4*f(x) ogf] A180970 5.41471 [(x^8+2*x^7-4*x^6-3*x^5-6*x^4+3*x^3+8*x^2+2*x+1)/(x^2+1)/(x^4+x^3-3*x^2-x+1) ogf] A180972 2.51313 [(765*f(x)+6701056)*(2*f(x)*x^2-5*f(x)*x+2*f(x)-8192*x-8192) ogf] A180972 2.79551 [{-2*a(n+2)+5*a(n+1)-2*a(n),a(0)=4096,a(1)=14336} ogf] A180972 4.87843 [8192*(x+1)/(2*x-1)/(x-2) ogf] A180972 6.81544 [-(-7+4*x+2*x^2)/(x-2)/(2*x-1)/(x+1) lgdogf] A180973 3.28327 [-3*f(x)*x^2+10*f(x)*x-3*f(x)+236196*x ogf] A180973 4.96309 [236196*x/(3*x-1)/(x-3) ogf] A180973 7.93152 [-2*(-5+3*x)/(-1+3*x)/(x-3) lgdogf] A181066 8.39656 [1/6*(HeunG(-1/8,1/4,1,1,1,1,-x)+4*HeunG(-1/8,1/4,1,1,1,1,-x)*x-1)/x lgdogf] A181099 7.94111 [x*(x^8+3*x^7+3*x^6-5*x^5+3*x^4+3*x^3-5*x^2+3*x+3)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A181106 11.8494 [(x^3-x^2-5*x+1)/(x+1)/(x-1)^3 ogf] A181106 16.4465 [-(-3-8*x+x^4-14*x^2)/(-1+x)/(x+1)/(x^3-x^2-5*x+1) lgdogf] A181106 6.48899 [-(50*f(x)-287)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)+5*x-1) ogf] A181120 12.8912 [x^3/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A181120 18.6294 [-(2+6*x+9*x^2+7*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A181120 31.2962 [x^2+x+2 ogf_with_Euler_transform] A181137 10.7210 [-(x^2+1)*(x+1)/(2*x^3+2*x^2+2*x-1) ogf] A181137 11.7524 [-(3+4*x^3+6*x+6*x^2+2*x^4)/(x^2+x+1)/(2*x^3+2*x^2+2*x-1) lgdogf] A181137 5.56202 [{-a(n+4)+2*a(n+3)+2*a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=27} ogf] A181137 6.21638 [(f(x)-1)*(2*f(x)*x^3+2*f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+x+1) ogf] A181140 5.25336 [f(x)*(2*f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+3*x^3+2*f(x)*x+3*x^2-f(x)+3*x+3) ogf] A181140 8.52118 [-(3+6*x+2*x^6+4*x^5+6*x^4+9*x^2+8*x^3)/(x+1)/(1+x^2)/(2*x^4+2*x^3+2*x^2+2*x-1) lgdogf] A181140 8.80110 [-3*(x^2+1)*(x+1)/(2*x^4+2*x^3+2*x^2+2*x-1) ogf] A181153 2.66897 [(f(x)-1)^2 ogf] A181154 3.54897 [(f(x)-1)^2 ogf] A181156 11.7225 [-(x^3-x^2-21*x-3)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A181156 7.14005 [(30912*f(x)-7661)*(f(x)*x^4-18*f(x)*x^2+x^3-x^2+f(x)-21*x-3) ogf] A181192 3.91549 [-(42588260*f(x)+2688451)*(8*f(x)*x^3+40*f(x)*x^2-24*f(x)*x+6*x^2+f(x)+10*x-1) ogf] A181192 4.38401 [{-a(n+3)+24*a(n+2)-40*a(n+1)-8*a(n),a(0)=1,a(1)=14,a(2)=290} ogf] A181192 7.06815 [-2*(7+80*x^3-46*x+260*x^2+24*x^4)/(2*x-1)/(4*x^2+22*x-1)/(6*x^2+10*x-1) lgdogf] A181192 8.01452 [-(6*x^2+10*x-1)/(2*x-1)/(4*x^2+22*x-1) ogf] A181193 3.92687 [-(224*x^4-1976*x^3+164*x^2-78*x+1)/(16*x-1)/(4*x^2+1)/(4*x^2-104*x+1) ogf] A181201 3.62716 [{(-27*n^3-216*n^2-573*n-504)*a(n+1)+(n^3+10*n^2+29*n+20)*a(n+2),a(0)=0,a(1)=30} ogf] A181202 2.73984 [{(-256*n^4-2688*n^3-10544*n^2-18312*n-11880)*a(n+1)+(n^4+16*n^3+89*n^2+194*n+120)*a(n+2),a(0)=0,a(1)=168} ogf] A181207 4.71915 [(411233*f(x)+484221)*(9*f(x)*x^4-15*f(x)*x^3+9*x^3+5*f(x)*x-6*x^2-f(x)-15*x+8) ogf] A181207 6.44515 [-(25+648*x^3-12*x+81*x^6-108*x^5-303*x^2-315*x^4)/(3*x^2-1)/(3*x^2-5*x+1)/(9*x^3-6*x^2-15*x+8) lgdogf] A181207 8.70715 [-(9*x^3-6*x^2-15*x+8)/(3*x^2-1)/(3*x^2-5*x+1) ogf] A181208 5.16071 [-4*(4*x^5-4*x^4-14*x^3+7*x^2+8*x-4)/(4*x^3-12*x^2+8*x-1)/(4*x^3+4*x^2-2*x-1) ogf] A181214 4.08689 [-4*(2*x^8-2*x^7-x^6-9*x^5-23*x^4-7*x^3+4*x^2+4*x+2)/(2*x^3-3*x^2-6*x+1)/(4*x^6+12*x^4-3*x^2-1) ogf] A181239 5.44201 [-2*(4*x^4-13*x^3-17*x^2+9*x+8)/(8*x^5-30*x^4-21*x^3+20*x^2+10*x-1) ogf] A181246 4.78471 [(31123*f(x)+13645)*(5*f(x)*x^3-10*f(x)*x^2-6*f(x)*x+5*x^2+f(x)-9*x-8) ogf] A181246 4.94971 [{a(n+3)-6*a(n+2)-10*a(n+1)+5*a(n),a(0)=8,a(1)=57,a(2)=417} ogf] A181246 9.26074 [-(5*x^2-9*x-8)/(5*x^3-10*x^2-6*x+1) ogf] A181246 9.37313 [-(57+150*x-90*x^3+25*x^4)/(5*x^2-9*x-8)/(5*x^3-10*x^2-6*x+1) lgdogf] A181247 3.35629 [(27235*f(x)-39964)*(64*f(x)*x^4-16*f(x)*x^3-54*f(x)*x^2+64*x^3-10*f(x)*x-8*x^2+f(x)-56*x-16) ogf] A181247 6.07330 [-8*(8*x^3-x^2-7*x-2)/(64*x^4-16*x^3-54*x^2-10*x+1) ogf] A181255 4.97269 [-6*(756*x^6+99*x^5+45*x^4-291*x^3-17*x^2-7*x+21)/(3*x-1)/(3*x^3-1)/(9*x^3-1) ogf] A181270 4.77884 [{a(n+4)-4*a(n+3)-4*a(n+2)+16*a(n+1),a(0)=1,a(1)=2,a(2)=11,a(3)=44} ogf] A181270 5.1202 [-(59+84*f(x))*(16*f(x)*x^3-4*f(x)*x^2-8*x^3-4*f(x)*x+x^2+f(x)+2*x-1) ogf] A181270 9.21634 [(8*x^3-x^2-2*x+1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A181270 9.58230 [-2*(-1-3*x+14*x^2+8*x^4)/(2*x+1)/(2*x-1)/(4*x-1)/(8*x^3-x^2-2*x+1) lgdogf] A181271 3.98871 [x^2*(512*x^6+960*x^5-832*x^4-444*x^3+272*x^2-3*x-6)/(2*x+1)/(8*x-1)/(4*x+1)/(4*x-1)^2/(2*x-1)^2 ogf] A181278 4.79079 [{-a(n+4)+4*a(n+3)+4*a(n+2)-16*a(n+1),a(0)=0,a(1)=3,a(2)=11,a(3)=48} ogf] A181278 5.09498 [-(5604*f(x)+7199)*(16*f(x)*x^3-4*f(x)*x^2+8*x^3-4*f(x)*x+x^2+f(x)-3*x) ogf] A181278 9.30047 [-(11+32*x^3+8*x-116*x^2+128*x^4)/(2*x+1)/(2*x-1)/(4*x-1)/(8*x^2+x-3) lgdogf] A181278 9.72676 [-x*(8*x^2+x-3)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A181279 3.98871 [-x^2*(512*x^6-320*x^5+224*x^4+124*x^3-16*x^2-47*x+9)/(2*x+1)/(8*x-1)/(4*x+1)/(4*x-1)^2/(2*x-1)^2 ogf] A181282 22.3655 [-3/2-2*x+3/2*(4*x+1)^(1/2) revogf] A181282 3.88027 [{(16*n^2+8*n)*a(n)+(6*n^2+24*n+24)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=3} ogf] A181282 9.42352 [-4*f(x)^2*x-4*f(x)*x+3*f(x)-x-3 ogf] A181286 18.9873 [-(4+5*x^3+6*x+9*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A181286 32.0332 [x^2-x+4 ogf_with_Euler_transform] A181286 9.47306 [x^2*(x+1)/(x^2+x+1)/(x-1)^4 ogf] A181287 14.3712 [-2*(-1-9*x^3-x+5*x^7+5*x^6+5*x^5-x^2+5*x^4)/(x-1)/(x+1)/(1+x^2)/(5*x^4-1) lgdogf] A181287 14.5303 [x*(x^2+1)*(x+1)/(x-1)/(5*x^4-1) ogf] A181288 10.0970 [-(-2+12*x^9+12*x^7-2*x+12*x^5+12*x^8+12*x^6-2*x^2-2*x^3-27*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(6*x^5-1) lgdogf] A181288 12.2349 [x*(x^4+x^3+x^2+x+1)/(x-1)/(6*x^5-1) ogf] A181290 12.2137 [-(-11+17*x+2*x^3-10*x^2)/(x-1)/(-2+x)/(2*x^2-4*x+1) lgdogf] A181290 22.2463 [1-cos(1/2*arctan(2*x^(1/2))) revogf] A181290 4.30226 [(934*f(x)+251)*(4*f(x)*x^4-16*f(x)*x^3+x^4+20*f(x)*x^2-4*x^3-8*f(x)*x+5*x^2+f(x)-2*x) ogf] A181290 7.61966 [-x*(x-2)*(x-1)^2/(2*x^2-4*x+1)^2 ogf] A181292 17.6155 [-(7-12*x+6*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A181292 4.70734 [-(128*f(x)+7)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-8*f(x)*x+x^2+f(x)-x) ogf] A181292 9.34442 [-x*(x-1)/(2*x^2-4*x+1)^2 ogf] A181294 18.2271 [-(5-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A181294 3.72340 [{(n+2)*a(n+3)+(-5*n-10)*a(n+2)+(4+6*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=2,a(2)=10} ogf] A181294 4.16725 [(85011*f(x)-15794)*(4*f(x)*x^4-16*f(x)*x^3+2*x^4+20*f(x)*x^2-6*x^3-8*f(x)*x+6*x^2+f(x)-2*x) ogf] A181294 7.58137 [-2*x*(x-1)^3/(2*x^2-4*x+1)^2 ogf] A181296 13.2531 [-(5+3*x+6*x^3-10*x^2)/(x-1)/(x+1)/(2*x^2-4*x+1) lgdogf] A181296 7.61966 [2*x*(x-1)^2/(x+1)/(2*x^2-4*x+1)^2 ogf] A181298 6.45240 [-2*x*(x^2-x-1)*(x-1)^2/(x+1)/(2*x^2-4*x+1)^2 ogf] A181298 9.11962 [-(-6+5*x^3-2*x+2*x^5+3*x^2-6*x^4)/(x-1)/(x+1)/(2*x^2-4*x+1)/(x^2-x-1) lgdogf] A181300 12.3500 [-2*(2+3*x-4*x^2+2*x^3)/(-1+x)/(x+1)/(2*x^2-4*x+1) lgdogf] A181300 6.43776 [-x^2*(x-1)^3/(x+1)/(2*x^2-4*x+1)^2 ogf] A181301 15.1269 [-2*(1+x+2*x^2)/(x-1)/(x+1)/(x^3-x^2-3*x+1) lgdogf] A181301 4.87490 [{-a(n+4)+3*a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=20} ogf] A181301 5.44841 [(-1+3*f(x))*(f(x)*x^3-f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)+x-1) ogf] A181301 9.39655 [(x-1)^2*(x+1)/(x^3-x^2-3*x+1) ogf] A181303 10.3957 [x*(x^2-x+1)*(x^2+x+1)*(x+1)/(x-1)/(7*x^6-1) ogf] A181303 8.45929 [-2*(-1-x-19*x^5+7*x^7+7*x^6-x^2-x^3-x^4+7*x^8+7*x^9+7*x^10+7*x^11)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(7*x^6-1) lgdogf] A181305 12.5136 [-(5+3*x-10*x^2+6*x^3)/(-1+x)/(x+1)/(2*x^2-4*x+1) lgdogf] A181305 7.35164 [x*(x-1)^2/(x+1)/(2*x^2-4*x+1)^2 ogf] A181306 10.4008 [(x-1)^2*(x+1)/(2*x^3-2*x^2-2*x+1) ogf] A181306 17.6012 [-(1+3*x)/(x-1)/(x+1)/(2*x^3-2*x^2-2*x+1) lgdogf] A181306 5.43677 [{a(n+4)-2*a(n+3)-2*a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A181306 5.83457 [-(5*f(x)+6)*(2*f(x)*x^3-2*f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+x-1) ogf] A181315 6.04229 [x*(-1+x^4-x^2+x^3-x^5-4*x^7+x^8+2*x+3*x^11+x^10-2*x^9+x^12)/(-1+x-x^7+3*x^11+2*x^6+3*x^4-2*x^10+x^13-x^9-x^12) revogf] A181318 5.95292 [-x*(x^10+x^9+9*x^8+x^7+22*x^6+6*x^5+22*x^4+x^3+9*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A181319 8.01889 [-(11009*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-11011)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A181326 12.7784 [-4*(1+2*x-4*x^2+2*x^3)/(x-1)/(x+1)/(2*x^2-4*x+1) lgdogf] A181326 6.92109 [2*x*(x-1)^2/(x+1)^2/(2*x^2-4*x+1)^2 ogf] A181328 5.91104 [-x^2*(x^2-3)*(x-1)^2/(x+1)^2/(2*x^2-4*x+1)^2 ogf] A181328 9.06727 [-2*(-6-11*x+22*x^2-7*x^3-4*x^4+2*x^5)/(x-1)/(x+1)/(x^2-3)/(2*x^2-4*x+1) lgdogf] A181329 10.3554 [(x-1)^2*(x+1)^2/(x^4-2*x^2-2*x+1) ogf] A181329 15.7089 [-2*(1+3*x^2)/(x-1)/(x+1)/(x^4-2*x^2-2*x+1) lgdogf] A181329 6.2907 [f(x)*(f(x)*x^4-x^4-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A181331 19.1239 [-(5-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A181331 3.92780 [{(n+2)*a(n+3)+(-5*n-10)*a(n+2)+(4+6*n)*a(n+1)-2*n*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A181331 4.39913 [(85011*f(x)-7897)*(4*f(x)*x^4-16*f(x)*x^3+x^4+20*f(x)*x^2-3*x^3-8*f(x)*x+3*x^2+f(x)-x) ogf] A181331 7.95024 [-x*(x-1)^3/(2*x^2-4*x+1)^2 ogf] A181337 6.19560 [-x*(x^2-x-1)*(x-1)^2/(x+1)/(2*x^2-4*x+1)^2 ogf] A181337 8.75115 [-(-6+5*x^3-2*x+2*x^5+3*x^2-6*x^4)/(x-1)/(x+1)/(2*x^2-4*x+1)/(x^2-x-1) lgdogf] A181342 6.80240 [-(6*x^4+46*x^3+66*x^2+21*x+1)/(x-1)^5 ogf] A181342 9.46421 [-2*(13+108*x+168*x^2+58*x^3+3*x^4)/(x-1)/(6*x^4+46*x^3+66*x^2+21*x+1) lgdogf] A181343 10.5815 [-(76+316*x+x^4+46*x^3+261*x^2)/(x-1)/(x^4+21*x^3+66*x^2+46*x+6) lgdogf] A181343 6.94122 [-(x^4+21*x^3+66*x^2+46*x+6)/(x-1)^5 ogf] A181353 12.3642 [-3*f(x)*x^2-9*f(x)*x+f(x)-x ogf] A181353 17.6911 [-x/(3*x^2+9*x-1) ogf] A181353 17.9288 [1/6/x*(-1-9*x+(1+18*x+93*x^2)^(1/2)) revogf] A181353 26.8933 [-3*(3+2*x)/(3*x^2-1+9*x) lgdogf] A181353 8.08114 [{-a(n+2)+9*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A181358 16.2434 [4*(x+2)/(4*x-1)/(x-1) ogf] A181358 7.57390 [-1/8*(-8-5*x+(64+96*x+9*x^2)^(1/2))/(x-1) revogf] A181358 8.17184 [-(-11+16*x+4*x^2)/(-1+x)/(2+x)/(4*x-1) lgdogf] A181358 8.30628 [(39*f(x)+172)*(4*f(x)*x^2-5*f(x)*x+f(x)-4*x-8) ogf] A181358 8.80665 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=8,a(1)=44} ogf] A181367 14.3012 [(3-8*x+2*x^2)/(-1+x)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A181367 4.54344 [{-a(n+4)+6*a(n+3)-10*a(n+2)+4*a(n+1),a(0)=2,a(1)=6,a(2)=22,a(3)=78} ogf] A181367 4.86797 [-(-18+49*f(x))*(4*f(x)*x^3-10*f(x)*x^2-2*x^3+6*f(x)*x+6*x^2-f(x)-6*x+2) ogf] A181367 8.76234 [2*(x-1)^3/(2*x-1)/(2*x^2-4*x+1) ogf] A181369 16.8613 [2*(-1-4*x+2*x^2)/(x-1)/(2*x^2-4*x+1) lgdogf] A181369 5.84642 [(x-1)^6/(2*x^2-4*x+1)^2 ogf] A181385 11.6807 [(x^5-2*x^4+x^2-1)/(x+1)/(x-1)^3 ogf] A181385 13.2770 [(2+2*x-2*x^5+x^6+6*x^3-x^4-2*x^2)/(x-1)/(x+1)/(x^5-2*x^4+x^2-1) lgdogf] A181389 11.7358 [-2*(2*x^4-7*x^3+x^2+x-1)/(x-1)^2 ogf] A181389 14.7178 [(1-3*x+4*x^4-15*x^3+21*x^2)/(x-1)/(2*x^4-7*x^3+x^2+x-1) lgdogf] A181389 9.33526 [4*x^4+f(x)*x^2-14*x^3-2*f(x)*x+2*x^2+f(x)+2*x-2 ogf] A181390 11.5705 [f(x)*x^2-2*f(x)*x-9*x^2+f(x)+2*x-1 ogf] A181390 15.5001 [(9*x^2-2*x+1)/(x-1)^2 ogf] A181390 32.3792 [-16*x/(x-1)/(9*x^2-2*x+1) lgdogf] A181390 8.13369 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=0,a(2)=8} ogf] A181394 4.98745 [-2*(2*x^6-2*x^5+2*x^4-12*x^3+2*x^2+x-1)/(x^2-x+1)^2/(x^2+3*x-1)^2 ogf] A181402 4.76059 [{a(n+4)-a(n+3),a(0)=1,a(1)=10,a(2)=73,a(3)=121} ogf] A181402 4.85774 [(6680480*f(x)-93370327)*(48*x^3+f(x)*x+63*x^2-f(x)+9*x+1) ogf] A181402 8.65562 [-(48*x^3+63*x^2+9*x+1)/(x-1) ogf] A181404 11.0631 [-f(x)*(f(x)*x+12*x^2-f(x)+3*x) ogf] A181404 17.9116 [-3*x*(4*x+1)/(x-1) ogf] A181404 8.95582 [{-a(n+3)+a(n+2),a(0)=0,a(1)=3,a(2)=15} ogf] A181405 33.3422 [2*x/(3+(9+24*x)^(1/2)) revegf] A181405 5.95874 [{-a(n+3),a(0)=0,a(1)=3,a(2)=12} ogf] A181405 8.5495 [f(x)*(-12*x^2+f(x)-3*x) ogf] A181405 81.5030 [4/(4*x+1) lgdogf] A181407 12.1263 [-(20*x^2-15*x+3)/(2*x-1)^3 ogf] A181407 19.2303 [-(3-20*x+40*x^2)/(2*x-1)/(20*x^2-15*x+3) lgdogf] A181407 6.74853 [(6*f(x)-23)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+20*x^2-f(x)-15*x+3) ogf] A181407 6.86798 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=3,a(1)=3,a(2)=2} ogf] A181427 8.07012 [2*(5*x^5-3*x^4+14*x^3+2*x^2+5*x+1)/(x-1)^4/(x+1)^4 ogf] A181427 9.65592 [-(5+12*x-12*x^5+95*x^4+77*x^2+15*x^6)/(x-1)/(x+1)/(5*x^5-3*x^4+14*x^3+2*x^2+5*x+1) lgdogf] A181430 13.2090 [-(57+145*x+92*x^2+12*x^3)/(x-1)/(2*x+1)/(2*x^2+9*x+6) lgdogf] A181430 3.51747 [{(8638*n^2+27438*n+20324)*a(n+1)+(-3761*n^2+44340*n-6403)*a(n+2)+(-4877*n^2-4203*n+674)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A181430 6.66992 [x^2*(2*x+1)*(2*x^2+9*x+6)/(x-1)^6 ogf] A181433 11.3854 [-(4+36*x+7*x^4+49*x^3+35*x^2+x^5)/(x-1)/(x+1)/(x^4+3*x^3+14*x^2+3*x+1) lgdogf] A181433 8.64236 [-(x^4+3*x^3+14*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A181440 14.7230 [-(x-2)*(x^2-x+1)/(x-1)^2 ogf] A181440 22.5896 [(1+3*x+x^3-3*x^2)/(x-2)/(x-1)/(x^2-x+1) lgdogf] A181440 7.87808 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=2,a(1)=1,a(2)=3,a(3)=4} ogf] A181440 8.47264 [-(6*f(x)+43)*(f(x)*x^2+x^3-2*f(x)*x-3*x^2+f(x)+3*x-2) ogf] A181442 7.99728 [-(x^4+x^3-8*x^2+x+1)/(x-1)/(x^4-10*x^2+1) ogf] A181442 8.67922 [-(2+4*x+x^8-15*x^6+69*x^4-22*x^3+2*x^7-9*x^2)/(x-1)/(x^4+x^3-8*x^2+x+1)/(x^4-10*x^2+1) lgdogf] A181443 10.4771 [-(x^8+x^7+3*x^6+17*x^5-98*x^4+17*x^3+3*x^2+x+1)/(x-1)/(x^8-110*x^4+1) ogf] A181474 5.19973 [-(x^4+x^3+4*x^2+x+1)/(x+1)^4/(x-1)^5 ogf] A181475 13.4983 [-(7+140*x+x^4+8*x^3+204*x^2)/(x-1)/(x^4+2*x^3+66*x^2+2*x+1) lgdogf] A181475 8.44396 [-(x^4+2*x^3+66*x^2+2*x+1)/(x-1)^5 ogf] A181477 29.8465 [-5*(1+5*x)/(x-1)/(x+1) lgdogf] A181477 30.1413 [[5+10*x] ogf_with_Euler_transform] A181477 4.92715 [{(n+3)*a(n+3)-5*a(n+2)+(-26-n)*a(n+1),a(0)=1,a(1)=5,a(2)=25} ogf] A181478 28.1381 [-6*(6*x+1)/(x-1)/(x+1) lgdogf] A181478 28.3847 [[6+15*x] ogf_with_Euler_transform] A181478 4.64758 [{(n+3)*a(n+3)-6*a(n+2)+(-37-n)*a(n+1),a(0)=1,a(1)=6,a(2)=36} ogf] A181479 30.8039 [-7*(1+7*x)/(x-1)/(x+1) lgdogf] A181479 31.0183 [[7+21*x] ogf_with_Euler_transform] A181479 5.07880 [{(n+3)*a(n+3)-7*a(n+2)+(-50-n)*a(n+1),a(0)=1,a(1)=7,a(2)=49} ogf] A181480 28.6024 [-8*(1+8*x)/(x-1)/(x+1) lgdogf] A181480 28.7895 [[8+28*x] ogf_with_Euler_transform] A181480 4.72034 [{(n+3)*a(n+3)-8*a(n+2)+(-65-n)*a(n+1),a(0)=1,a(1)=8,a(2)=64} ogf] A181482 10.9986 [-3*(1-x+3*x^5+x^6+5*x^3-4*x^4+4*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^3-3*x^2+2*x+1) lgdogf] A181482 9.11966 [-(x^4+2*x^3-3*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A181509 11.3237 [-2*(x^4+22*x^2+1)/(x-1)^3 ogf] A181509 15.5896 [(-3-44*x+x^4-4*x^3-22*x^2)/(x-1)/(x^4+22*x^2+1) lgdogf] A181509 5.01588 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=2,a(1)=6,a(2)=56,a(3)=152,a(4)=296} ogf] A181509 5.97893 [-(421*f(x)-3381)*(f(x)*x^3+2*x^4-3*f(x)*x^2+3*f(x)*x+44*x^2-f(x)+2) ogf] A181510 14.9410 [-(-9+2*x+x^2)/(-1+x)/(x^2-3) lgdogf] A181510 3.78905 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=18,a(2)=34} ogf] A181510 7.57811 [2*(x^2-3)/(x-1)^3 ogf] A181510 7.63682 [(39*f(x)-694)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+6) ogf] A181517 14.0048 [1/2/(1+x)^2*(-2*x-1+(1+8*x+8*x^2)^(1/2)) revogf] A181517 6.57341 [x^4*f(x)^3+3*f(x)^2*x^3+2*f(x)^2*x^2+3*f(x)*x^2+3*f(x)*x-f(x)+x+1 ogf] A181527 11.0758 [(2*x^2-2*x+1)/(2*x-1)^2/(x-1)^2 ogf] A181527 15.1500 [-2*(-2+5*x+4*x^3-6*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A181527 5.74002 [-(67*f(x)+11)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A181531 17.8285 [-(x^3-x^2+x)/(x-1) ogf_with_Euler_transform] A181532 16.4498 [-x/(x+1)/(x^3-x^2+2*x-1) ogf] A181532 20.2613 [-(1+2*x+4*x^3)/(x+1)/(x^3-x^2+2*x-1) lgdogf] A181532 9.61348 [-f(x)*x^4-f(x)*x^2-f(x)*x+f(x)-x ogf] A181533 5.59009 [-2*(5*x^9-8*x^7+9*x^5-4*x^3+1)/(x^5-x^3+1)/(x^5-x^3+2*x-1) ogf] A181534 5.87717 [(x^15+x^14+x^12+x^11+x^10+x^8+x^7+x^5+x^4+x^2+x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A181553 12.2078 [9600*f(x)^2*x^2-196*f(x)^2*x+f(x)^2-1 ogf] A181553 20.4699 [-(-98*x+(4*x^2+1)^(1/2))/(-1+9600*x^2)*x revogf] A181553 24.0823 [-2*(-49+4800*x)/(100*x-1)/(96*x-1) lgdogf] A181553 5.03110 [{(-n-3)*a(n+3)+(490+196*n)*a(n+2)+(-19200-9600*n)*a(n+1),a(0)=1,a(1)=98,a(2)=9606} ogf] A181560 14.4061 [-x^4*(-5+3*x^2+4*x^3)/(2*x^3+x^2-1)/(x^5-2*x^3-x^2+1) lgdogf] A181560 5.21511 [-(f(x)-1)*(f(x)*x^5-2*f(x)*x^3-f(x)*x^2+2*x^3+x^2+f(x)-1) ogf] A181560 8.99417 [-(2*x^3+x^2-1)/(x^5-2*x^3-x^2+1) ogf] A181565 11.8413 [1/2*ln(2*x+5)-arctanh((6*x+16)^(1/2))-1/2*ln(5)+arctanh(4) revegf] A181565 15.5674 [-(5*x-4)/(2*x-1)/(x-1) ogf] A181565 18.0736 [-(7-16*x+10*x^2)/(x-1)/(5*x-4)/(2*x-1) lgdogf] A181565 7.7837 [-(5*f(x)+29)*(2*f(x)*x^2-3*f(x)*x+f(x)+5*x-4) ogf] A181565 8.54310 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=4,a(1)=7} ogf] A181571 5.52576 [{(16*n^3+160*n^2+524*n+560)*a(n+1)+(-n^3-15*n^2-68*n-84)*a(n+2),a(0)=1,a(1)=6} ogf] A181586 10.7506 [x^2*(x-1)/(x+1)/(2*x-1)/(x^2+1) ogf] A181586 14.4746 [-2*x*(-1-3*x^2+3*x^3-x)/(x-1)/(2*x-1)/(x+1)/(x^2+1) lgdogf] A181586 6.9326 [2*f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x+x^2-f(x) ogf] A181593 2.04192 [(f(x)-1)^2*(-6*x^3+f(x)-1) ogf] A181600 17.4821 [-1/(x^10-x^8+x^2+x-1) ogf] A181617 12.6261 [4*x*(2*x+1)/(x-1)^4 ogf] A181617 5.47133 [{(n+2)*a(n+3)+(-5+n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=4,a(2)=24} ogf] A181617 6.03455 [-(2565*f(x)+12302)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-4*x) ogf] A181618 4.89151 [9*f(x)^2*x^4+3*f(x)^2*x^3-5*f(x)^2*x^2-36*f(x)*x^3+f(x)^2*x-6*f(x)*x^2+24*f(x)*x+36*x^2-6*f(x) ogf] A181626 13.2929 [2*(2*x^3+5*x^2-2)/(x+1)/(4*x^2+x-1) ogf] A181626 6.10451 [-2*x*(-5+5*x^3-9*x)/(x+1)/(4*x^2+x-1)/(2*x^3+5*x^2-2) lgdogf] A181626 7.16659 [{a(n+4)-5*a(n+2)-4*a(n+1),a(0)=4,a(1)=0,a(2)=10,a(3)=12} ogf] A181626 7.56107 [-(5763*f(x)+39448)*(4*f(x)*x^3+5*f(x)*x^2-4*x^3-10*x^2-f(x)+4) ogf] A181635 12.8332 [36*x*(36*x^2-6*x+1)/(36*x^2+6*x+1)/(6*x-1)^2 ogf] A181635 7.44520 [{a(n+4)-6*a(n+3)-216*a(n+1)+1296*a(n),a(0)=0,a(1)=36,a(2)=0,a(3)=1296} ogf] A181635 7.56062 [(29*f(x)+216)*(1296*f(x)*x^4-216*f(x)*x^3-1296*x^3-6*f(x)*x+216*x^2+f(x)-36*x) ogf] A181639 3.10268 [(98*f(x)-1879)*(10*f(x)*x^2-f(x)+30*x+20) ogf] A181639 3.42684 [{-a(n+2)+10*a(n),a(0)=20,a(1)=30} ogf] A181639 5.21814 [-10*(3*x+2)/(10*x^2-1) ogf] A181639 5.47605 [1/10*(-10+(100+30*x+10*x^2)^(1/2))/(x+3) revogf] A181639 6.25834 [-(3+40*x+30*x^2)/(3*x+2)/(10*x^2-1) lgdogf] A181640 13.1685 [-(4+6*x+11*x^4+6*x^3+6*x^2+7*x^5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1) lgdogf] A181640 28.5982 [[x^4-x+4] ogf_with_Euler_transform] A181640 8.96288 [x^3*(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A181641 25.4828 [-(-3+2*x)/(x+1)/(-1+4*x) lgdogf] A181641 3.66952 [{(-n-3)*a(n+3)+(3+3*n)*a(n+2)+(6+4*n)*a(n+1),a(0)=1,a(1)=-3,a(2)=1} ogf] A181641 8.21534 [f(x)^2*x^2+2*f(x)^2*x+f(x)^2+4*x-1 ogf] A181648 8.48049 [-(3*x^4+2*x^3+2*x^2+x+1)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A181648 99.9999 Evaluated at exp(-Pi) 1/16*exp(19/24*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^12*GAMMA(11/12)^(9/2)*GAMMA(7/12)^(9/2)*(3^(1/2)-1)/(2^(1/2)*(3^(1/2)-1))^(1/2) A181655 11.2130 [(x^4-x^3+2*x+1)/(x-1)/(x+1)/(3*x^2-1) ogf] A181655 6.81165 [-(32*f(x)-15)*(3*f(x)*x^4-x^4-4*f(x)*x^2+x^3+f(x)-2*x-1) ogf] A181655 9.40297 [(2+8*x+3*x^6+5*x^2-8*x^3-14*x^4-8*x^5)/(x-1)/(x+1)/(3*x^2-1)/(x^4-x^3+2*x+1) lgdogf] A181658 12.0052 [(x^3+2*x+1)/(x-1)/(x+1)/(x^4+2*x^2-1) ogf] A181658 9.11529 [-(-2-6*x+9*x^4+4*x^3+3*x^8+11*x^6-9*x^2+6*x^5)/(x-1)/(x+1)/(x^3+2*x+1)/(x^4+2*x^2-1) lgdogf] A181662 11.4005 [-(4096*x^8+768*x^6+16*x^3+40*x^2+8*x+3)/(2*x-1) ogf] A181662 7.75065 [2*(-7-40*x-2304*x^5+28672*x^8+3840*x^6-16384*x^7+16*x^2+32*x^3)/(2*x-1)/(4096*x^8+768*x^6+16*x^3+40*x^2+8*x+3) lgdogf] A181665 6.72351 [x*(1+x)*(x^2-x+1)*(x^9+9*x^6+6*x^3+1)/(x^11+x^10+8*x^9+8*x^8+x^7+14*x^6+6*x^5+7*x^3+x^2+1)/(x^3+x+1) revogf] A181668 9.67349 [-(2*x^9+8*x^6+2*x^3+5)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A181679 15.7910 [-(119*x+123)/(x-1)^3 ogf] A181679 27.6666 [-2*(244+119*x)/(119*x+123)/(x-1) lgdogf] A181679 7.03193 [(7271599060*f(x)-1201830404613)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+119*x+123) ogf] A181679 7.56376 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=123,a(1)=488,a(2)=1095} ogf] A181685 4.32746 [{(-216*n-1080)*a(n+1)-36*a(n+2)-6*a(n+3)+(n+4)*a(n+4),a(0)=0,a(1)=36,a(2)=432,a(3)=1296} ogf] A181685 5.96303 [(f(x)+15)*(1296*f(x)*x^4-216*f(x)*x^3+1296*x^3-6*f(x)*x-216*x^2+f(x)-36*x) ogf] A181685 9.96454 [-36*x*(36*x^2-6*x-1)/(36*x^2+6*x+1)/(6*x-1)^2 ogf] A181688 12.0993 [(x-1)/(x^4-2*x^3+2*x^2+2*x-1) ogf] A181688 12.7097 [-(-1-4*x+3*x^4-8*x^3+8*x^2)/(x-1)/(x^4-2*x^3+2*x^2+2*x-1) lgdogf] A181688 5.9521 [(112*f(x)-51)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A181689 23.4765 [(2*x^4+3*x^2-1)/(2*x^6+11*x^2-1) ogf] A181689 24.7319 [-8*x*(-2+x^2-7*x^4+3*x^6+x^8)/(2*x^4+3*x^2-1)/(2*x^6+11*x^2-1) lgdogf] A181716 10.8585 [-f(x)*x^3-2*f(x)*x^2-2*x^2+f(x)-x ogf] A181716 13.7268 [-x*(2*x+1)/(x^2+x-1)/(x+1) ogf] A181716 16.2865 [-(2+4*x+7*x^2+4*x^3)/(2*x+1)/(x+1)/(x^2+x-1) lgdogf] A181716 7.82277 [{-a(n+3)+2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A181718 4.60773 [-(8678637*f(x)+1510127)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-210*x^2-f(x)+12*x) ogf] A181718 5.01980 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=12,a(2)=1122} ogf] A181718 9.07993 [6*x*(35*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A181719 4.92026 [(586178637*f(x)-224319800)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+4000*x^2-f(x)-1550*x+25) ogf] A181719 5.41610 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=25,a(1)=1225,a(2)=112225} ogf] A181719 9.19312 [-25*(160*x^2-62*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A181762 16.7746 [-x*(2*x^2-x-8)/(x-1)^2/(x+1)^2 ogf] A181762 9.56303 [-(749*f(x)-17972)*(f(x)*x^4-2*f(x)*x^2+2*x^3-x^2+f(x)-8*x) ogf] A181768 10.5213 [{-5*a(n)*n+(6*n+4)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=1} ogf] A181768 16.6701 [f(x)^2*x-f(x)^2-3*f(x)*x+3*f(x)+x-2 ogf] A181768 22.2717 [-1/2*(-5*x+1+3*((5*x-1)*(x-1))^(1/2))/(5*x-1)/(x-2)/(x-1) lgdogf] A181773 28.5419 [[5-x] ogf_with_Euler_transform] A181773 4.45157 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=48,a(2)=240} ogf] A181773 4.58646 [(134*f(x)+5379)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-48*x^2+f(x)-48*x) ogf] A181773 9.03603 [48*x*(x+1)/(x-1)^4 ogf] A181829 4.69464 [-4*x*(5*x^10+3*x^9+21*x^8+2*x^7+30*x^6+6*x^5+14*x^4-3*x^2-x-3)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A181879 12.6452 [f(x)*x^3+4*f(x)*x^2+3*f(x)*x+x^2-f(x)+x ogf] A181879 18.8568 [-x*(x+1)/(x^3+4*x^2+3*x-1) ogf] A181879 24.1940 [-(x+2)*(2*x^2+3*x+2)/(x+1)/(x^3+4*x^2+3*x-1) lgdogf] A181879 9.68324 [{a(n+3)-3*a(n+2)-4*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A181880 10.1735 [{-a(n+3)+4*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=19} ogf] A181880 11.3822 [(64*f(x)-19)*(f(x)*x^3+3*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A181880 28.0393 [-1/(x^3+3*x^2+4*x-1) ogf] A181880 35.5000 [-(4+6*x+3*x^2)/(3*x^2-1+4*x+x^3) lgdogf] A181888 10.5342 [-x^2*(x+9)/(x-1)^7 ogf] A181888 44.1062 [-2*(32+3*x)/(x+9)/(x-1) lgdogf] A181888 6.85785 [{(9+9*n)*a(n+3)+(-64-8*n)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=0,a(2)=9} ogf] A181889 11.1950 [-16*x*(x^3+14*x^2+21*x+4)/(x-1)^7 ogf] A181889 25.5270 [-(49+154*x+73*x^2+4*x^3)/(x-1)/(x^3+14*x^2+21*x+4) lgdogf] A181889 6.81175 [{(2*n^2+15*n+28)*a(n+1)+(-74*n^2-759*n-2008)*a(n+2)+(72*n^2+324*n+360)*a(n+3),a(0)=0,a(1)=64,a(2)=784} ogf] A181890 10.1921 [(x^2-12*x-5)/(x-1)^3 ogf] A181890 18.1608 [-(-27-22*x+x^2)/(x-1)/(x^2-12*x-5) lgdogf] A181890 5.2224 [(27744*f(x)-316579)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+12*x+5) ogf] A181890 5.54308 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=27,a(2)=65} ogf] A181900 6.30104 [{(-n^2-6*n-9)*a(n+1)+(n^2+2*n+1)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A181900 9.71101 [-x*(x^4+8*x^3+6*x^2+8*x+1)/(x+1)^3/(x-1)^3 ogf] A181933 4.87861 [-4*f(x)^2*x^3-9*f(x)^2*x^2-10*f(x)^2*x+4*f(x)*x^2-2*f(x)^2+5*f(x)*x+f(x)-x ogf] A181961 8.13612 [-(x^4-14*x^2+6*x+1)/(x^5-2*x^4-25*x^3-3*x^2+12*x-1) ogf] A181963 11.3678 [-(15293*x^2-29326*x+14083)/(x-1)^3 ogf] A181963 6.01342 [(240400*f(x)-21762081943)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15293*x^2-f(x)-29326*x+14083) ogf] A181963 6.69235 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14083,a(1)=12923,a(2)=11813} ogf] A181965 4.81828 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=989,a(1)=99899,a(2)=9998999} ogf] A181965 5.15177 [-(32560770033*f(x)+17933677640)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1000*x^2-f(x)+101*x+8) ogf] A181965 8.25991 [-(8000*x^2-9880*x+989)/(x-1)/(100*x-1)/(10*x-1) ogf] A181968 4.05797 [{(3*n^2-29*n-70)*a(n+1)+(-978*n^2-8504*n-19130)*a(n+2)+(975*n^2+5617*n+8076)*a(n+3),a(0)=53,a(1)=431,a(2)=1457} ogf] A181968 5.38358 [(8693*f(x)+1439036)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-51*x^2+f(x)-219*x-53) ogf] A181968 9.96958 [(x^3+51*x^2+219*x+53)/(x-1)^4 ogf] A181969 11.5147 [-(1681*x^2-3022*x+1373)/(x-1)^3 ogf] A181969 6.06039 [(108400*f(x)-415326767)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1681*x^2-f(x)-3022*x+1373) ogf] A181969 6.71693 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1373,a(1)=1097,a(2)=853} ogf] A181973 11.8550 [-(1763*x^2-3178*x+1447)/(x-1)^3 ogf] A181973 6.23949 [(116080*f(x)-479426341)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1763*x^2-f(x)-3178*x+1447) ogf] A181973 6.91543 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1447,a(1)=1163,a(2)=911} ogf] A181975 10.2658 [-(2*x^4+x^3+x^2+x+1)/(x-1)/(x^4+1) ogf] A181977 8.18593 [-(-6*x^8-3*x^7-3*x^6-3*x^4-3*x^3-3*x-3)/(x^9-1) ogf_with_Euler_transform] A181982 22.3400 [[x^5-4*x+2] ogf_with_Euler_transform] A181982 6.18966 [-(2*f(x)+7)*(f(x)*x^4+x^4+f(x)*x^2+2*x^3+f(x)-2*x-1) ogf] A181982 9.99869 [-(x-1)*(x+1)^3/(x^2+x+1)/(x^2-x+1) ogf] A181983 11.9361 [f(x)*x^2+2*f(x)*x+f(x)-x ogf] A181983 19.0331 [x/(x+1)^2 ogf] A181983 33.3970 [[-2+2*x] ogf_with_Euler_transform] A181983 8.69415 [{-a(n+2)-2*a(n+1)-a(n),a(0)=0,a(1)=1} ogf] A181984 12.3849 [-(x^2-x+1)/(x^3-2*x^2+3*x-1) ogf] A181984 6.74534 [{a(n+3)-3*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A181984 6.8061 [(7*f(x)-2)*(f(x)*x^3-2*f(x)*x^2+3*f(x)*x+x^2-f(x)-x+1) ogf] A181989 12.3135 [-(x^2-4*x-1)/(x^3-5*x^2-7*x+1) ogf] A181989 6.4752 [(5087*f(x)+205)*(f(x)*x^3-5*f(x)*x^2-7*f(x)*x+x^2+f(x)-4*x-1) ogf] A181989 6.58880 [{a(n+3)-7*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=81} ogf] A181995 14.5449 [-x^2*(2*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A182014 6.67467 [-(x^4+6*x^3-24*x^2+12*x+1)/(x^5+5*x^4-44*x^3+8*x^2+17*x-1) ogf] A182026 5.28648 [{(-4*n^3-290*n^2-978*n-828)*a(n+1)+(n^3+72*n^2+251*n-1428)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=288} ogf] A182027 8.99811 [-2*f(x)^2*x+4*f(x)*x^2-4*x^3+f(x)^2+2*f(x)*x-4*x^2-2*f(x)+1 ogf] A182033 4.44115 [-(-x^12+2*x^11-x^7+x^5-2*x+1)/(x^14-x^13+x^12+x^8-x^7+x^6+x^2-x+1) ogf_with_Euler_transform] A182034 5.18255 [-(x^6-2*x^5+x^4-x^2+2*x-1)/(-x^8+x^7-x^6-x^5+x^4-x^3-x^2+x-1) ogf_with_Euler_transform] A182036 5.92661 [-(-x^7+x^6-x^5-x^4+x^3+x^2-x+1)/(-x^9-2*x^6-2*x^3-1) ogf_with_Euler_transform] A182037 15.8315 [x^2+2*x-2*f(x)+f(x)^2 egf] A182037 3.57999 [{(n^3-n)*a(n)+(n^3+6*n^2+5*n)*a(n+1)+(2*n^2+6*n+6)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A182041 5.43753 [-(11*x^6-27*x^5-130*x^4+70*x^3+220*x^2+43*x-11)/(x^3-5*x^2-7*x+1)/(x^4-3*x^3-x^2+3*x+1) ogf] A182054 6.67744 [(6*x^2-11*x-8)*(2*x^3-5*x^2-4*x+1)/(4*x^5-13*x^4+3*x^3+15*x^2+3*x-1) ogf] A182077 7.30609 [-(4*x^4-23*x^3+12*x^2+37*x+13)/(4*x^5-13*x^4+3*x^3+15*x^2+3*x-1) ogf] A182079 11.3044 [-x^3*(x^4+x^3+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A182089 4.42626 [-(394274630593*x^4+4594381810448*x^3+4796126519298*x^2+461574415688*x+63973)/(x-1)^5 ogf] A182097 13.0841 [{a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A182097 20.624 [f(x)*x^3+f(x)*x^2-f(x)+1 ogf] A182097 36.8733 [-1/(x^3+x^2-1) ogf] A182122 15.7428 [-1-4*f(x)*x+f(x)^2 ogf] A182122 6.55952 [{-4*a(n+1)*n+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=2} ogf] A182130 6.36438 [-(28*x^4+55*x^3-89*x^2-29*x+27)/(28*x^5+42*x^4-109*x^3+17*x^2+13*x-1) ogf] A182143 12.8352 [(x^2-2*x-1)/(x+1)/(x^2+2*x-1) ogf] A182143 6.92875 [(37*f(x)-27)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-x^2-f(x)+2*x+1) ogf] A182143 6.99062 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A182188 3.96859 [-(f(x)-1)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+3*x^2-f(x)-8*x+1) ogf] A182188 4.03883 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=-1,a(2)=-11} ogf] A182188 7.48177 [-(3*x^2-8*x+1)/(x-1)/(x^2-6*x+1) ogf] A182189 4.95066 [(336*f(x)+115)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-x^2-f(x)-4*x+1) ogf] A182189 5.03827 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A182189 9.33320 [(x^2+4*x-1)/(x-1)/(x^2-6*x+1) ogf] A182190 11.7166 [-4*x/(x-1)/(x^2-6*x+1) ogf] A182190 4.70757 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=28} ogf] A182190 6.84739 [f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)+4*x ogf] A182191 11.8340 [-(x^2+12*x-1)/(x-1)/(x^2-6*x+1) ogf] A182191 6.11421 [(44488*f(x)-35291)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)+12*x-1) ogf] A182191 6.49296 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=-1,a(1)=5,a(2)=43} ogf] A182193 11.6681 [-(5*x^2+8*x-1)/(x-1)/(x^2-6*x+1) ogf] A182193 5.98115 [(10072*f(x)-11109)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+5*x^2-f(x)+8*x-1) ogf] A182193 6.29873 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=-1,a(1)=1,a(2)=19} ogf] A182194 8.64951 [-(91*x^25-91*x^24+21*x^9-21*x^8+7*x^4-7*x^3+3*x^2-2)/(x-1)^2 ogf] A182202 8.79609 [x*(2*x^2+1)*(4*x^4-2*x^2+x+1)/(x+1)/(2*x-1)/(x^2+1)/(2*x^2-1) ogf] A182214 11.9645 [-(4*x^3+2*x^2+2*x+3)/(x-1)/(x+1)/(x^2+1) ogf] A182214 7.92997 [(127*f(x)+93)*(f(x)*x^4+4*x^3+2*x^2-f(x)+2*x+3) ogf] A182215 14.0604 [-(5*x^3+4*x^2+4*x+2)/(x-1)/(x+1)/(x^2+1) ogf] A182215 9.00498 [-(24*f(x)+61)*(f(x)*x^4+5*x^3+4*x^2-f(x)+4*x+2) ogf] A182228 22.3698 [-x/(3*x^2-x-1) ogf] A182228 9.11362 [{a(n+2)+a(n+1)-3*a(n),a(0)=0,a(1)=1} ogf] A182228 9.75569 [(f(x)-1)*(3*f(x)*x^2-f(x)*x-f(x)+x) ogf] A182255 11.0390 [-(17711*x^2-32932*x+15383)/(x-1)^3 ogf] A182255 5.67497 [(52418745*f(x)-3132826834426)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17711*x^2-f(x)-32932*x+15383) ogf] A182255 6.49875 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15383,a(1)=13217,a(2)=11213} ogf] A182260 9.21516 [x*(x^2+2*x+3)/(x+1)/(x-1)^4 ogf] A182268 12.3889 [(7*x-1)*(98*x^2+14*x+1)/(14*x-1)/(14*x+1) ogf] A182268 6.43735 [{-a(n+4)+196*a(n+2),a(0)=1,a(1)=7,a(2)=196,a(3)=686} ogf] A182268 8.1063 [(52*f(x)+11)*(196*f(x)*x^2-686*x^3-f(x)+7*x+1) ogf] A182323 12.9341 [(25*x^2+47*x+25)/(x-1)^2/(x+1) ogf] A182323 6.95615 [(583*f(x)-2199)*(f(x)*x^3-f(x)*x^2-f(x)*x-25*x^2+f(x)-47*x-25) ogf] A182323 7.13605 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=25,a(1)=72,a(2)=122} ogf] A182334 5.94465 [x*(x^9-x^8-38*x^6+25*x^5-15*x^4+20*x^3-10*x^2-3*x-1)/(x-1)/(x^2+x+1)/(x^6-34*x^3+1) ogf] A182341 12.2577 [(2*x^20+3*x^19-5*x^18+7)/(x-1)^2 ogf] A182349 5.08599 [{(n+3)*a(n+3)+(-8-n)*a(n+2)+(-20-2*n)*a(n+1),a(0)=1,a(1)=6,a(2)=30} ogf] A182349 8.40293 [-1/(x+1)^4/(2*x-1)^5 ogf] A182386 5.35155 [{(n+2)*a(n+1)+(-n-2)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A182401 12.2763 [f(x)^2*x^2+5*f(x)*x-f(x)+1 ogf] A182401 4.67289 [{(-21*n-42)*a(n+1)+(10*n+35)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=5,a(2)=26} ogf] A182409 10.9075 [(1591*x^2-3182*x+1583)/(x-1)^3 ogf] A182409 5.87326 [(3350*f(x)-18165791)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-1591*x^2-f(x)+3182*x-1583) ogf] A182409 6.31012 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1583,a(1)=-1567,a(2)=-1543} ogf] A182415 17.0002 [(3*x^2+1)/(x-1)/(x^2+x-1) ogf] A182415 8.5877 [-(55*f(x)-1918)*(f(x)*x^3-2*f(x)*x-3*x^2+f(x)-1) ogf] A182415 8.86179 [{-a(n+3)+2*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A182428 18.5371 [4*x*(10*x-9)/(x-1)^3 ogf] A182428 9.59378 [(15*f(x)-15184)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-40*x^2-f(x)+36*x) ogf] A182428 9.67867 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=36,a(2)=68} ogf] A182432 10.7806 [-(x^2-5*x+1)/(x-1)/(x^2-8*x+1) ogf] A182432 5.76857 [(213*f(x)+11)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x+x^2-f(x)-5*x+1) ogf] A182432 5.81961 [{-a(n+3)+9*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=28} ogf] A182435 12.7122 [x*(3*x-1)/(x-1)/(x^2-6*x+1) ogf] A182435 6.52788 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A182435 6.52789 [-(4*f(x)+1)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-3*x^2-f(x)+x) ogf] A182453 14.3286 [(2*x^3+2*x^2-3*x+1)/(3*x-1)/(x-1)^3 ogf] A182453 4.77620 [{(12*n^2+60*n+72)*a(n+1)+(-19*n^2-80*n-69)*a(n+2)+(8*n^2+38*n+39)*a(n+3)+(-n^2-6*n-8)*a(n+4),a(0)=1,a(1)=3,a(2)=8,a(3)=24} ogf] A182453 7.80663 [(6904*f(x)+3713)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2-2*x^3-6*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A182455 7.82473 [-(3*x^5-3*x^4-6*x^3+7*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A182456 4.56092 [{(n^2+12*n+36)*a(n)+(-n^2-9*n-18)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=4,a(2)=20,a(3)=12} ogf] A182456 7.74914 [-(8*x^5-8*x^4-14*x^3+14*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A182460 10.3514 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=1,a(1)=19} ogf] A182460 18.7206 [(2*x+1)/(16*x-1)/(x-1) ogf] A182460 9.7763 [(291*f(x)+70)*(16*f(x)*x^2-17*f(x)*x+f(x)-2*x-1) ogf] A182461 16.2666 [-8*(x-2)/(2*x-1)/(x-1) ogf] A182461 8.31404 [(71*f(x)+1364)*(2*f(x)*x^2-3*f(x)*x+f(x)+8*x-16) ogf] A182461 8.90790 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=16,a(1)=40} ogf] A182462 16.1376 [-10*(x-2)/(2*x-1)/(x-1) ogf] A182462 8.3348 [(71*f(x)+1705)*(2*f(x)*x^2-3*f(x)*x+f(x)+10*x-20) ogf] A182462 9.02938 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=20,a(1)=50} ogf] A182464 17.3161 [-12*(x-2)/(2*x-1)/(x-1) ogf] A182464 8.94346 [(71*f(x)+2046)*(2*f(x)*x^2-3*f(x)*x+f(x)+12*x-24) ogf] A182464 9.68876 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=24,a(1)=60} ogf] A182465 16.4994 [-14*(x-2)/(2*x-1)/(x-1) ogf] A182465 8.81219 [(f(x)+22)*(2*f(x)*x^2-3*f(x)*x+f(x)+14*x-28) ogf] A182465 9.23183 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=28,a(1)=70} ogf] A182466 17.6083 [-16*(x-2)/(2*x-1)/(x-1) ogf] A182466 9.09441 [(71*f(x)+2728)*(2*f(x)*x^2-3*f(x)*x+f(x)+16*x-32) ogf] A182466 9.85229 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=32,a(1)=80} ogf] A182467 16.6442 [-18*(x-2)/(2*x-1)/(x-1) ogf] A182467 8.59643 [(71*f(x)+3069)*(2*f(x)*x^2-3*f(x)*x+f(x)+18*x-36) ogf] A182467 9.31281 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=36,a(1)=90} ogf] A182480 11.4560 [-(8*x^3-2*x^2+3*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A182480 6.22414 [-(328*f(x)-707)*(f(x)*x^4-f(x)*x^3+8*x^3+f(x)*x-2*x^2-f(x)+3*x+2) ogf] A182486 3.52036 [{(-4*n-6)*a(n+1)+(9*n+15)*a(n+2)+(-10*n-18)*a(n+3)+(2*n+6)*a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=-1} ogf] A182486 7.33716 [-f(x)^2*x^2+2*f(x)^2*x-2*f(x)^2-f(x)*x+4*f(x)-x-2 ogf] A182492 6.14169 [f(x)^2*x+2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)+2*x-1 ogf] A182494 9.66633 [-(9*x^6-9*x^5+8*x^4-7*x^3+7*x^2-8*x+9)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A182495 6.37473 [-(6*x^11+5*x^10+4*x^9+5*x^8+7*x^7+6*x^6+7*x^5+5*x^4+5*x^3+4*x^2+5*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A182512 10.7641 [-16*f(x)*x^2+17*f(x)*x-f(x)+3*x ogf] A182512 16.8362 [3*x/(16*x-1)/(x-1) ogf] A182512 7.91096 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=0,a(1)=3} ogf] A182522 10.4403 [(14*f(x)-11)*(3*f(x)*x^2-x^2-f(x)+x+1) ogf] A182522 16.4063 [(x^2-x-1)/(3*x^2-1) ogf] A182522 9.57032 [{-a(n+3)+3*a(n+1),a(0)=1,a(1)=1,a(2)=2} ogf] A182531 4.70519 [x*(x^2-x-1)*(x^3-x^2+1)/(x+1)/(x-1)^3 ogf] A182542 4.17584 [{(-16*n^2-136*n-288)*a(n+1)+(8*n^2+74*n+156)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=1,a(1)=8,a(2)=46} ogf] A182555 5.01748 [{(8*n^2+8*n)*a(n)+(-4*n^2+4*n+8)*a(n+1)+(-2*n^2-8*n+4)*a(n+2)+(n^2+2*n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=12,a(4)=29} ogf] A182555 6.37581 [16*f(x)^2*x^4-32*f(x)^2*x^3+24*f(x)^2*x^2+16*f(x)*x^3-8*f(x)^2*x-28*f(x)*x^2+f(x)^2+16*f(x)*x+5*x^2-3*f(x)-6*x+2 ogf] A182568 20.3661 [-2*x^5/(x^2+1)/(x+1)/(x-1)^3 ogf] A182568 49.5436 [[x^3+2] ogf_with_Euler_transform] A182584 5.68914 [-27*f(x)^3*x^2-27*f(x)^2*x^2+4*f(x)^3+6*f(x)*x^2+x^3+4*f(x)^2-16*f(x)*x-8*f(x)+4*x ogf] A182614 6.79423 [-(2*x^4-2*x^3-3*x^2+2*x+2)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A182614 7.07741 [-2*(-3-4*x+2*x^7+3*x^2+7*x^3+4*x^4-5*x^5-3*x^6)/(x-1)/(x+1)/(x^2+x-1)/(2*x^4-2*x^3-3*x^2+2*x+2) lgdogf] A182626 5.44477 [-f(x)^2*x^2-6*f(x)^2*x+f(x)*x^2-f(x)^2+6*f(x)*x+f(x)-x ogf] A182661 3.72250 [{(n^2+11*n+30)*a(n+1)+(n^2+8*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=2,a(1)=0,a(2)=20} ogf] A182661 6.66792 [-x*(60+165*x^2-124*x^3+54*x^4-12*x^5+x^6-120*x)/(x-1)/(x^6-9*x^5+30*x^4-49*x^3+45*x^2-18*x+6) lgdegf] A182687 2.44193 [-(27*f(x)-17)*(-6*x^3-4*x^2+f(x)-2*x-1) ogf] A182687 8.32633 [2*(1+4*x+9*x^2)/(4*x^2+1+2*x+6*x^3) lgdogf] A182688 2.28128 [-(8384*f(x)+11191)*(-8*x^3-9*x^2+f(x)-7*x-1) ogf] A182688 8.32633 [(7+18*x+24*x^2)/(9*x^2+1+7*x+8*x^3) lgdogf] A182691 8.06489 [-(4*x^5+4*x^4+2*x^3+2*x^2-4*x-3)/(x-1)/(x+1)/(4*x^4+4*x^2-1) ogf] A182712 19.5540 [-(-x^2+2*x)/(x-1) ogf_with_Euler_transform] A182713 16.6061 [-(x^3-x^2-x)/(-x+1) ogf_with_Euler_transform] A182714 16.5297 [-(x^4-x^3-x)/(-x+1) ogf_with_Euler_transform] A182749 7.9242 [-(f(x)-1)^3 ogf] A182751 10.2319 [(14*f(x)-5)*(3*f(x)*x^2+3*x^2-f(x)+3*x+1) ogf] A182751 15.8699 [-(3*x^2+3*x+1)/(3*x^2-1) ogf] A182751 17.0147 [-3*(x+1)*(3*x+1)/(3*x^2+3*x+1)/(3*x^2-1) lgdogf] A182751 9.25743 [{-a(n+3)+3*a(n+1),a(0)=1,a(1)=3,a(2)=6} ogf] A182752 10.1862 [-2*(3+14*x+42*x^2)/(6*x+1)/(14*x^2-1) lgdogf] A182752 5.11403 [-(175*f(x)+149)*(14*f(x)*x^2-f(x)+6*x+1) ogf] A182752 5.97948 [{a(n+2)-14*a(n),a(0)=1,a(1)=6} ogf] A182752 9.25395 [-(6*x+1)/(14*x^2-1) ogf] A182752 9.91811 [1/4*(-1+(1+24*x+56*x^2)^(1/2))/(3+7*x) revogf] A182753 11.2593 [{a(n+2)-35*a(n),a(0)=1,a(1)=14} ogf] A182753 17.2817 [-(14*x+1)/(35*x^2-1) ogf] A182753 6.20179 [1/14*(-1+(1+56*x+140*x^2)^(1/2))/(2+5*x) revogf] A182753 6.52820 [-14*(1+5*x+35*x^2)/(14*x+1)/(35*x^2-1) lgdogf] A182753 9.65081 [-(165*f(x)+619)*(35*f(x)*x^2-f(x)+14*x+1) ogf] A182754 10.8865 [{a(n+2)-77*a(n),a(0)=1,a(1)=21} ogf] A182754 16.7095 [-(21*x+1)/(77*x^2-1) ogf] A182754 17.2275 [1/14*(-1+(1+84*x+308*x^2)^(1/2))/(3+11*x) revogf] A182754 18.1110 [-7*(3+22*x+231*x^2)/(21*x+1)/(77*x^2-1) lgdogf] A182754 9.21163 [-(814*f(x)+3155)*(77*f(x)*x^2-f(x)+21*x+1) ogf] A182755 10.3598 [(36*f(x)+209)*(90*f(x)*x^2-f(x)+35*x+1) ogf] A182755 11.3016 [{a(n+2)-90*a(n),a(0)=1,a(1)=35} ogf] A182755 17.3467 [-(35*x+1)/(90*x^2-1) ogf] A182758 4.60679 [-(6*x^24+3*x^23+17*x^22+15*x^20-45*x^19+10*x^16+15*x^15-25*x^14+13*x^12+x^11-16*x^10+5*x^9-7*x^7+x^5-x^3-1)/(x-1)^2 ogf] A182780 15.7241 [-2*(x^2+x-1)/(x-1)/(x^2+2*x-1) ogf] A182780 8.56402 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A182780 8.64117 [(5*f(x)+6)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+2*x^2+f(x)+2*x-2) ogf] A182788 12.6733 [-4*(8+71*x+27*x^3+104*x^2)/(x-1)/(27*x^3+67*x^2+25*x+1) lgdogf] A182788 3.62901 [{(-119*n^2-271*n-66)*a(n+1)+(160*n^2-208*n+1008)*a(n+2)+(-41*n^2+11*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A182788 5.88570 [-6*x^3*(27*x^3+67*x^2+25*x+1)/(x-1)^7 ogf] A182789 3.36167 [-6*x^3*(3267*x^7+51359*x^6+195679*x^5+241075*x^4+100425*x^3+12653*x^2+341*x+1)/(x-1)^11 ogf] A182789 5.81678 [(88+1559*x+2154*x^4+5103*x^3+4957*x^2+34*x^6+x^7+408*x^5)/(736*x^2+1+87*x+924*x^4+1407*x^3+27*x^6+246*x^5+x^7) lgdegf] A182803 99.9999 Evaluated at exp(-Pi) 1/32768*exp(21/8*Pi)/Pi^(7/4)*2^(5/8)/GAMMA(7/8)^7*GAMMA(5/8)^7*(2+2^(1/2))^(3/2) A182805 99.9999 Evaluated at exp(-Pi) -1/400000000*exp(33/8*Pi)*Pi^(9/4)*2^(3/8)*(-5+5^(1/2))^5*5^(1/2)/GAMMA(3/4)^9 A182818 17.8038 [-(2*x+3)/(x^2-1) ogf_with_Euler_transform] A182818 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)/Pi^(1/2)*2^(5/8)*GAMMA(3/4)^2 A182819 14.0213 [-(-3*x^2-4*x-4)/(-x^3+1) ogf_with_Euler_transform] A182820 16.4792 [-(4*x+7)/(x^2-1) ogf_with_Euler_transform] A182820 99.9999 Evaluated at exp(-Pi) 2*exp(-1/24*Pi)/Pi*2^(1/8)*GAMMA(3/4)^4 A182827 10.1284 [-4*f(x)^2*x^2-2*f(x)^2*x-f(x)^2+1 egf] A182827 21.4533 [-1/8*exp(-2*x)+3/8*exp(2*x)-1/4 revegf] A182827 30.2296 [-(4*x+1)/(4*x^2+1+2*x) lgdegf] A182827 4.43118 [{(4*n^2+16*n+16)*a(n+1)+(2*n+5)*a(n+2)+a(n+3),a(0)=1,a(1)=-1,a(2)=-1} ogf] A182866 10.6727 [-3*(135+584*x+72*x^3+x^4+468*x^2)/(x-1)/(x^4+53*x^3+249*x^2+209*x+28) lgdogf] A182866 6.01946 [-2*x*(x^4+53*x^3+249*x^2+209*x+28)/(x-1)^7 ogf] A182868 14.7502 [-(2*x^2+7*x-1)/(x-1)^3 ogf] A182868 26.1185 [-2*(2+9*x+x^2)/(x-1)/(2*x^2+7*x-1) lgdogf] A182868 7.49804 [(28352*f(x)-101661)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+7*x-1) ogf] A182868 7.96252 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=4,a(2)=17} ogf] A182879 9.73787 [-(3+7*x+3*x^6-11*x^5+10*x^4-x^3+4*x^2)/(x^2-3*x+1)/(x^3-2*x^2-1)/(x^2+x+1) lgdogf] A182881 15.5836 [-3*(-1-x+2*x^3-3*x^2)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A182883 19.4672 [-2*x*(-1+x^2-3*x)/(1-2*x^2-4*x^3+x^4) lgdogf] A182883 9.02516 [-f(x)^2*x^4+4*f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2+1 ogf] A182884 10.8385 [-2*(x-1)*(2*x^4+2*x^3-5*x^2-x-1)/(x^2+x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A182887 9.38354 [-(3-x-10*x^4+3*x^6+5*x^5+8*x^2-5*x^3)/(x+1)/(x^2+x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A182889 5.32916 [-(125*f(x)+2)*(f(x)^2*x^4-2*f(x)^2*x^3-2*f(x)^2*x^2-2*f(x)^2*x+f(x)^2+2*f(x)*x-1) ogf] A182890 14.7726 [x/(x^2+x+1)/(x^2-3*x+1) ogf] A182890 17.9686 [-2*(-1-x+2*x^3-3*x^2)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A182890 6.47065 [-(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A182892 7.24953 [-2*f(x)^2*x^3-f(x)^2*x^2-2*f(x)^2*x+2*f(x)*x^2+f(x)^2-1 ogf] A182894 6.42521 [-4*f(x)^2*x^3-2*f(x)^2*x^2-2*f(x)^2*x+2*f(x)*x^2+f(x)^2+2*f(x)*x-1 ogf] A182895 10.6199 [x*(x+1)/(x^2+x+1)/(x^2-3*x+1) ogf] A182895 13.8815 [-(-3-2*x+3*x^4-7*x^2)/(x+1)/(x^2+x+1)/(x^2-3*x+1) lgdogf] A182895 5.4354 [(27*f(x)+13)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)-x) ogf] A182904 13.6039 [-(-1-x+3*x^5-2*x^3-5*x^4)/(-x^2+1-2*x-2*x^5-x^4+x^6) lgdogf] A182905 6.17031 [-2*f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2-3*f(x)*x^2-f(x)*x+f(x)-1 ogf] A182909 4.82201 [-(8*x^20-4*x^19+3*x^18-6*x^16+13*x^15-6*x^14-7*x^13-x^12+8*x^11-4*x^10-x^9+x^8-2*x^7-2*x^6+3*x^5-x^4-2*x^3+2*x^2-3)/(x-1)^2 ogf] A182943 7.42055 [-(9*x^13-5*x^12+3*x^11+x^10+6*x^9-5*x^8-9*x^7+8*x^6-x^5-x^4-6*x^3+5*x^2-2*x-4)/(x-1)^2 ogf] A182959 6.18321 [-f(x)^2*x-2*f(x)*x^2-x^3-f(x)*x-3*x^2+f(x)-3*x-1 ogf] A182959 8.77004 [1/2*(4*I*x+I-(8*x-1)^(1/2)+2*x*(8*x-1)^(1/2))/(x+1)/(8*x-1)^(1/2)/x lgdogf] A182990 13.4772 [-299792458/(-1+299792458*x) lgdogf] A182990 21.4050 [x/(1+299792458*x) revogf] A183010 17.9497 [(25*x-1)/(x-1)^2 ogf] A183010 21.9970 [-1/2*(-23-2*x+(529+96*x)^(1/2))/(x-1) revogf] A183010 40.6944 [-(47+x)/(x+23)/(x-1) lgdogf] A183010 9.27734 [(48*f(x)+577)*(f(x)*x^2-2*f(x)*x+f(x)-25*x+1) ogf] A183010 9.94800 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=23} ogf] A183035 8.60411 [-2*x*(-1+5*x^2-12*x^6-x^8+17*x^10-48*x^30-x^32+53*x^34-60*x^38-x^40+65*x^42)/(x-1)/(x+1)/(x^2+1)/(1+x^8)/(1+x^32) lgdogf] A183041 9.02007 [(2*x^5-2*x^4+x^3-x^2-x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A183041 9.61471 [-2*(1+3*x^3+2*x^4-x^5+x^6+2*x^2)/(x-1)/(x+1)/(1+x^2)/(2*x^5-2*x^4+x^3-x^2-x+3) lgdogf] A183042 5.96583 [2*x*(x^13-x^9-3*x^7-x^6-4*x^2-3*x-3)/(x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A183044 4.26528 [x*(2*x^10+2*x^9-2*x^8-4*x^7-5*x^6-x^5+x^4-2*x^3-5*x^2-7*x-5)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A183046 5.43602 [x*(4*x^8+2*x^7-8*x^6-7*x^5+5*x^3-3*x^2-12*x-7)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A183047 4.43366 [-4*x*(2*x^8+2*x^7-4*x^6-5*x^5-2*x^4-x^3-5*x^2-8*x-5)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A183048 4.67237 [4*x*(2*x^8+2*x^7-4*x^6-5*x^5-2*x^4-x^3-5*x^2-8*x-5)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A183050 4.06217 [x*(2*x^12-2*x^11+2*x^10-4*x^9+2*x^8-x^7-x^6-4*x^4-4*x^2-x-3)/(x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A183066 14.4231 [-2*(-13-45*x+x^3-3*x^2)/(x-1)/(x^3-3*x^2-21*x-1) lgdogf] A183066 3.73701 [{(7*n^2+53*n+96)*a(n+1)+(-38*n^2-310*n-624)*a(n+2)+(31*n^2+161*n+204)*a(n+3),a(0)=1,a(1)=26,a(2)=123} ogf] A183066 8.02608 [(x^3-3*x^2-21*x-1)/(x-1)^5 ogf] A183111 10.3787 [-x*(4*x^3+x^2-1)/(3*x-1)/(2*x^3+x^2-1) ogf] A183111 5.46223 [-(3+24*x^6+12*x^5+5*x^4-12*x^2)/(-1+3*x)/(2*x^3+x^2-1)/(4*x^3+x^2-1) lgdogf] A183111 5.49016 [-(9*f(x)+13)*(6*f(x)*x^4+f(x)*x^3+4*x^4-f(x)*x^2+x^3-3*f(x)*x+f(x)-x) ogf] A183112 4.81110 [x*(4*x^3+x^2-1)/(3*x-1)/(x-1)/(2*x^3+x^2-1) ogf] A183113 10.2864 [-x*(2*x-1)*(x+1)^2/(3*x-1)/(2*x^3+x^2-1) ogf] A183113 10.2890 [-(3-7*x+12*x^5+24*x^4-19*x^3+7*x^2)/(-1+3*x)/(2*x-1)/(x+1)/(2*x^3+x^2-1) lgdogf] A183113 4.63523 [{-a(n+5)+3*a(n+4)+a(n+3)-a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=7,a(4)=21} ogf] A183113 5.48107 [-(3*f(x)+4)*(6*f(x)*x^4+f(x)*x^3+2*x^4-f(x)*x^2+3*x^3-3*f(x)*x+f(x)-x) ogf] A183114 4.73593 [x*(2*x-1)*(x+1)^2/(3*x-1)/(x-1)/(2*x^3+x^2-1) ogf] A183115 5.08810 [-x*(4*x^3+3*x^2-1)/(3*x-1)/(2*x^3+x^2-1) ogf] A183115 6.41011 [(116*f(x)+9)*(6*f(x)*x^4+f(x)*x^3+4*x^4-f(x)*x^2+3*x^3-3*f(x)*x+f(x)-x) ogf] A183116 4.73593 [x*(4*x^3+3*x^2-1)/(3*x-1)/(x-1)/(2*x^3+x^2-1) ogf] A183117 4.54799 [-x*(x+1)*(2*x^3+2*x^2+x-1)/(3*x-1)/(2*x^3+x^2-1) ogf] A183118 4.31022 [x*(x+1)*(2*x^3+2*x^2+x-1)/(3*x-1)/(x-1)/(2*x^3+x^2-1) ogf] A183119 5.90169 [x*(3*x^2-1)/(x+1)/(3*x-1)/(x-1)^2 ogf] A183119 6.24127 [-2*(2-3*x+9*x^4+3*x^3-3*x^2)/(-1+x)/(-1+3*x)/(x+1)/(3*x^2-1) lgdogf] A183119 6.61193 [(4*f(x)+3)*(3*f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2-3*x^3+4*f(x)*x-f(x)+x) ogf] A183120 7.44888 [(-3+7*x-20*x^6-33*x^5+12*x^7+21*x^4-18*x^3+2*x^2)/(-1+x)/(-1+3*x)/(x+1)/(4*x^5-2*x^4-x^3+3*x^2+x-1) lgdogf] A183120 7.70661 [x*(4*x^5-2*x^4-x^3+3*x^2+x-1)/(x+1)/(3*x-1)/(x-1)^2 ogf] A183121 3.65343 [-x*(4*x^5-2*x^4-x^3+3*x^2+x-1)/(3*x-1)/(x+1)/(x-1)^3 ogf] A183122 9.18732 [-x*(4*x^5+2*x^4+2*x^3+3*x^2-1)/(x-1)/(3*x-1)/(x+1) ogf] A183123 8.55067 [x*(4*x^5+2*x^4+2*x^3+3*x^2-1)/(x+1)/(3*x-1)/(x-1)^2 ogf] A183124 3.79780 [x*(4*x^7+2*x^5-x^3+3*x^2+x-1)/(x+1)/(3*x-1)/(x-1)^2 ogf] A183125 3.65343 [-x*(4*x^7+2*x^5-x^3+3*x^2+x-1)/(3*x-1)/(x+1)/(x-1)^3 ogf] A183139 4.39799 [-x*(x+1)*(x^14+x^12-x^11+2*x^10-x^9+x^8+x^6+x^3+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A183140 6.71043 [-x^3*(x^14+x^10+x^7+x^3+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A183155 10.4824 [-(4*x^2-3*x+1)/(2*x-1)/(x-1)^2 ogf] A183155 13.0379 [-(-1+x+8*x^3-4*x^2)/(x-1)/(-1+2*x)/(4*x^2-3*x+1) lgdogf] A183155 5.70916 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A183155 5.76059 [(f(x)-1)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A183156 11.6530 [-2*(1-x+2*x^4-8*x^3+3*x^2)/(x-1)/(-1+2*x)/(2*x^3-6*x^2+3*x-1) lgdogf] A183156 4.07063 [{(-2*n^2-12*n-16)*a(n+1)+(3*n^2+14*n+14)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A183156 5.40461 [(1688*f(x)+2997)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+2*x^3-5*f(x)*x-6*x^2+f(x)+3*x-1) ogf] A183156 9.41003 [-(2*x^3-6*x^2+3*x-1)/(2*x-1)/(x-1)^3 ogf] A183159 7.07898 [-(3*x^4-10*x^3+2*x-1)/(2*x-1)/(2*x+1)/(x-1)^3 ogf] A183159 7.08699 [-(1+4*x+20*x^3-37*x^4-56*x^5+12*x^6+2*x^2)/(x-1)/(2*x+1)/(-1+2*x)/(3*x^4-10*x^3+2*x-1) lgdogf] A183160 7.13618 [27*f(x)^3*x^2+104*f(x)^3*x-16*f(x)^3-54*f(x)^2*x+8*f(x)^2+7*f(x)+1 ogf] A183188 16.8832 [(x-1)/(x^3+3*x-1) ogf] A183188 21.3261 [-(-2+2*x^3-3*x^2)/(x-1)/(x^3+3*x-1) lgdogf] A183188 8.08236 [{-a(n+3)+3*a(n+2)+a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A183188 8.53643 [-(3*f(x)-1)*(f(x)*x^3+3*f(x)*x-f(x)-x+1) ogf] A183199 13.5317 [-(2*x^2-3*x+3)/(x-1)^3 ogf] A183199 25.3059 [-2*(3-x+x^2)/(x-1)/(2*x^2-3*x+3) lgdogf] A183199 7.17771 [(204*f(x)+103)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-3*x+3) ogf] A183199 7.30474 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=6,a(2)=11} ogf] A183207 12.6184 [-2*(1+8*x+8*x^3+x^4+6*x^2)/(x-1)/(x+1)/(x^3+5*x^2+x+1) lgdogf] A183207 8.19552 [-(x^3+5*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A183223 5.69866 [-(x^46-2*x^45-x^36-2*x^28+2*x^27-2*x^19+3*x^18-2*x^10+3*x^9-x+2)/(x^45+x^36-x^18-x^9-1)/(x-1)^2 ogf] A183245 11.7581 [(17*x^2-34*x+9)/(4*x-1)/(3*x-1) ogf] A183245 12.9182 [(29-182*x+289*x^2)/(4*x-1)/(3*x-1)/(17*x^2-34*x+9) lgdogf] A183245 6.21182 [{a(n+3)-7*a(n+2)+12*a(n+1),a(0)=9,a(1)=29,a(2)=112} ogf] A183245 6.39276 [-(21*f(x)+652)*(12*f(x)*x^2-7*f(x)*x-17*x^2+f(x)+34*x-9) ogf] A183246 4.37136 [-(40003676*f(x)+2087880041)*(24*f(x)*x^2-248*x^3-10*f(x)*x-164*x^2+f(x)+234*x-44) ogf] A183246 4.54622 [{a(n+4)-10*a(n+3)+24*a(n+2),a(0)=44,a(1)=206,a(2)=1168,a(3)=6984} ogf] A183246 6.87036 [(103-892*x+2360*x^2-2480*x^3+2976*x^4)/(6*x-1)/(-1+4*x)/(124*x^3+82*x^2-117*x+22) lgdogf] A183246 8.11824 [2*(124*x^3+82*x^2-117*x+22)/(6*x-1)/(4*x-1) ogf] A183247 4.95174 [(100844*x^5+29191*x^4+7150*x^3-17394*x^2+4122*x-265)/(9*x-1)/(8*x-1)/(5*x-1) ogf] A183264 3.20042 [x*(2*x+1)*(x-2)/(2*x-1)^3 ogf] A183264 5.34484 [-(-15-8*x+4*x^2)/(x-2)/(2*x+1)/(2*x-1) lgdogf] A183264 6.63512 [(6480*f(x)-7469)*(8*f(x)*x^3-12*f(x)*x^2-2*x^3+6*f(x)*x+3*x^2-f(x)+2*x) ogf] A183275 3.34295 [(6*x^12-10*x^11-4*x^10+64*x^9-118*x^8+127*x^7-50*x^6+31*x^5-23*x^4+11*x^3-14*x^2+5*x-1)/(2*x-1)^2/(x-1)^5 ogf] A183276 3.96807 [-(x^9-x^8+3*x^7-4*x^6-5*x^5-x^4+2*x^3+3*x^2+3*x+1)/(x^2+x-1)/(x^4+4*x^2-1)/(x^4-x^2-1) ogf] A183304 13.1556 [-(x+1)^2/(x^3+2*x-1) ogf] A183304 18.9900 [-(4-2*x+3*x^2+x^3)/(x+1)/(x^3+2*x-1) lgdogf] A183304 6.90342 [-(121*f(x)+184)*(f(x)*x^3+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A183304 7.41751 [{a(n+3)-2*a(n+2)-a(n),a(0)=1,a(1)=4,a(2)=9} ogf] A183314 4.94275 [(11*f(x)-15)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)-3*x-3) ogf] A183314 8.92262 [-(x^3+2*x^2-3*x-3)/(x^4+x^3-3*x^2-x+1) ogf] A183314 9.10051 [-(x+1)*(x^5+3*x^4-7*x^3-9*x^2+8*x+6)/(x^3+2*x^2-3*x-3)/(x^4+x^3-3*x^2-x+1) lgdogf] A183315 4.63148 [-(x^7-13*x^5-10*x^4+21*x^3+15*x^2-8*x-5)/(x^8-x^7-13*x^6-x^5+21*x^4+3*x^3-9*x^2-x+1) ogf] A183324 5.05878 [(628*f(x)+463)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A183324 9.26348 [-(x^3-x^2-x-1)/(x^4-2*x^3+x^2-2*x+1) ogf] A183324 9.99003 [-(x+1)*(x^5-3*x^4+x^3+3*x^2-3*x+3)/(x^3-x^2-x-1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A183325 5.83847 [-(3*x^5+2*x^4-2*x^3-x^2+x-1)*(x+1)^2/(3*x^8+5*x^7-2*x^5-2*x^3+2*x^2-3*x+1) ogf] A183330 4.73313 [(8241*f(x)+9218)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*x^3-f(x)*x-x^2+f(x)-6*x-1) ogf] A183330 8.50300 [-(7+6*x+12*x^3-13*x^4-2*x^5+2*x^6+8*x^2)/(2*x^3-x^2-6*x-1)/(x^4-x^3-2*x^2-x+1) lgdogf] A183330 8.79012 [-(2*x^3-x^2-6*x-1)/(x^4-x^3-2*x^2-x+1) ogf] A183331 4.89940 [-2*(2*x^7+4*x^6-3*x^4+x^3-2*x^2-3*x-1)/(x^9+3*x^8+x^7-3*x^6-x^5-3*x^3-x^2-2*x+1) ogf] A183336 8.84412 [-(x^2-x-1)*(x+1)^2/(x^5-2*x^3-x^2-x+1) ogf] A183336 9.58135 [-(4+2*x+8*x^3-5*x^4-5*x^5+x^6+x^7+2*x^2)/(x+1)/(-1-x+x^2)/(x^5-2*x^3-x^2-x+1) lgdogf] A183337 5.39274 [-(x^7+2*x^6+x^5-x^4-2*x^3-6*x^2-5*x-1)/(x^8+x^7-x^5-2*x^4-5*x^3-x^2-x+1) ogf] A183344 11.8652 [-(x^2+6*x+1)/(x^3+x^2+x-1) ogf] A183344 13.9175 [-(x+1)*(x^3+11*x^2-3*x+7)/(x^2+6*x+1)/(x^3+x^2+x-1) lgdogf] A183344 6.34892 [(83*f(x)+335)*(f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+6*x+1) ogf] A183344 6.46230 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=9} ogf] A183345 6.49037 [-(x^5+5*x^4+3*x^3-6*x^2-8*x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A183346 4.83632 [-(x^7+9*x^6+10*x^5-3*x^4-17*x^3-7*x^2-16*x-1)/(x^8+2*x^7+x^6-3*x^5-4*x^4-4*x^3-x^2-x+1) ogf] A183353 2.82727 [(256*x^4-272*x^3-144*x^2-28*x-1)/(4*x+1)/(4*x-1)^3 ogf] A183354 14.3142 [-4*f(x)*x+f(x)-20*x-4 ogf] A183354 17.3277 [-4*(5*x+1)/(4*x-1) ogf] A183354 18.4546 [-1/10-1/10*x+1/10*(1+7*x+x^2)^(1/2) revogf] A183354 35.8839 [-9/(5*x+1)/(4*x-1) lgdogf] A183354 9.01990 [{a(n+2)-4*a(n+1),a(0)=4,a(1)=36} ogf] A183355 13.9702 [-3*f(x)*x+f(x)-108*x-12 ogf] A183355 16.7642 [-12*(9*x+1)/(3*x-1) ogf] A183355 17.7799 [-1/18-1/72*x+1/72*(16+56*x+x^2)^(1/2) revogf] A183355 34.6240 [-12/(9*x+1)/(3*x-1) lgdogf] A183355 8.94092 [{a(n+2)-3*a(n+1),a(0)=12,a(1)=144} ogf] A183356 4.68818 [{a(n+4)-2*a(n+3)-2*a(n+2)+a(n+1),a(0)=36,a(1)=576,a(2)=1296,a(3)=3600} ogf] A183356 4.82507 [-(1091*f(x)+165924)*(f(x)*x^3-2*f(x)*x^2+108*x^3-2*f(x)*x-72*x^2+f(x)-504*x-36) ogf] A183356 8.81379 [-36*(3*x^3-2*x^2-14*x-1)/(x+1)/(x^2-3*x+1) ogf] A183356 9.97419 [-4*(4+2*x+3*x^2-4*x^3+x^4)/(x+1)/(x^2-3*x+1)/(3*x^3-2*x^2-14*x-1) lgdogf] A183357 5.67239 [36*(12*x^6+24*x^5-29*x^4-34*x^3+20*x^2-58*x-3)/(x^2+1)/(x^2+2*x-1) ogf] A183364 6.16784 [-(x+1)*(x^8-2*x^5-4*x^4-2*x^3+2*x^2-3*x+2)/(x^10-3*x^7-4*x^6+x^3+2*x-1) ogf] A183382 3.79859 [-(x^8+x^7+3*x^6-x^5-x^3-x^2-x+1)*(2*x^2-2*x-1)/(2*x^11+4*x^10-5*x^9-4*x^8-6*x^7+2*x^6-3*x^5+13*x^4-6*x^3+4*x^2-4*x+1) ogf] A183388 4.69852 [2*(2*x^8-2*x^7-4*x^6-4*x^5-3*x^4+x^3+3*x^2+x-1)/(2*x^8-x^7-x^6-3*x^5-4*x^4-x^3+2*x^2+2*x-1) ogf] A183389 3.50199 [(3*x^11+3*x^10-31*x^9+6*x^8+31*x^7-5*x^6+21*x^5+35*x^4-x^3-18*x^2-3*x+3)/(x^11+2*x^10-10*x^9+8*x^7-4*x^6+3*x^5+11*x^4+4*x^3-5*x^2-2*x+1) ogf] A183393 4.25150 [2*(4*x^10-8*x^9+x^8-19*x^7-13*x^6+14*x^5+20*x^4+2*x^3+5*x^2-x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^4+3*x^2+1) ogf] A183399 4.34030 [2*(16*x^9-40*x^8+90*x^6-76*x^5-32*x^4+47*x^3-2*x^2-9*x+2)/(2*x^3-5*x^2+5*x-1)/(4*x^6-10*x^4+5*x^2-1) ogf] A183409 6.63166 [-(x^6-x^5-3*x^4+2*x^3+3*x^2-3*x-2)/(x+1)^3/(x-1)^4 ogf] A183409 9.91939 [-(-5-11*x+5*x^3-4*x^5-x^6+x^7-9*x^2)/(x-1)/(x+1)/(x^6-x^5-3*x^4+2*x^3+3*x^2-3*x-2) lgdogf] A183425 5.14311 [(3438225*f(x)+6214814)*(4*f(x)*x^4-f(x)*x^3+2*x^3-4*f(x)*x+4*x^2+f(x)+3*x-3) ogf] A183425 7.68645 [-(9-8*x+32*x^5+32*x^4-38*x^3+19*x^2+8*x^6)/(x-1)/(4*x-1)/(x^2+x+1)/(2*x^3+4*x^2+3*x-3) lgdogf] A183425 9.76445 [-(2*x^3+4*x^2+3*x-3)/(4*x-1)/(x-1)/(x^2+x+1) ogf] A183426 5.82999 [-(32*x^6+112*x^4+14*x^3+40*x-9)/(8*x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1) ogf] A183430 4.84408 [(14230000*f(x)+1777623)*(9*f(x)*x^3-f(x)*x^2-9*f(x)*x+3*x^2+f(x)+9*x-4) ogf] A183430 5.22318 [{a(n+3)-9*a(n+2)-a(n+1)+9*a(n),a(0)=4,a(1)=27,a(2)=244} ogf] A183430 9.05982 [-(27+2*x+162*x^3+27*x^4-90*x^2)/(x-1)/(9*x-1)/(x+1)/(3*x^2+9*x-4) lgdogf] A183430 9.84698 [-(3*x^2+9*x-4)/(x-1)/(9*x-1)/(x+1) ogf] A183435 11.8475 [-(7+12*x+25*x^2+40*x^3+16*x^4)/(4*x^2+5*x+2)/(4*x^3+x^2+x-1) lgdogf] A183435 11.8763 [-(4*x^2+5*x+2)/(4*x^3+x^2+x-1) ogf] A183435 6.19192 [(15295*f(x)-188)*(4*f(x)*x^3+f(x)*x^2+f(x)*x+4*x^2-f(x)+5*x+2) ogf] A183435 6.41112 [{a(n+3)-a(n+2)-a(n+1)-4*a(n),a(0)=2,a(1)=7,a(2)=13} ogf] A183436 6.13115 [-(2*x^5+4*x^4+3*x^3-7*x^2-10*x-3)/(2*x^6+2*x^5+x^4-8*x^3-3*x^2-x+1) ogf] A183437 3.72461 [-(7*x^8-11*x^7-46*x^6-80*x^5-63*x^4+37*x^2+24*x+4)/(7*x^9-18*x^8-28*x^7-52*x^6-12*x^5+15*x^4+26*x^3+6*x^2+x-1) ogf] A183444 5.90442 [-(9-35*x^6+46*x^5+104*x^3-144*x^4+16*x^8+4*x^7+4*x^10)/(2*x^6-2*x^5+7*x^4-8*x^3+x^2-2*x+1)/(2*x^5+5*x^3-x^2-7*x-1) lgdogf] A183444 6.79637 [-(2*x^5+5*x^3-x^2-7*x-1)/(2*x^6-2*x^5+7*x^4-8*x^3+x^2-2*x+1) ogf] A183445 4.42767 [-(x+1)*(x^7-x^6-3*x^5-7*x^4+17*x^3+19*x^2-9*x-1)/(x^9-x^8-3*x^7-7*x^6+16*x^5+18*x^4-5*x^3-x^2-3*x+1) ogf] A183467 6.18855 [-(3+6*x^2-8*x^3-10*x^4-8*x^5-4*x^6+16*x^7+16*x^8+16*x^9+8*x^10)/(2*x^3-1)/(2*x^3+2*x-1)/(2*x^5+2*x^4+2*x^3-x-1) lgdogf] A183467 8.23998 [-2*(2*x^5+2*x^4+2*x^3-x-1)/(2*x^3-1)/(2*x^3+2*x-1) ogf] A183476 6.45240 [-3*(12*x^5+12*x^4+6*x^3+2*x^2-2*x-1)/(6*x^3-1)/(6*x^3+3*x-1) ogf] A183485 5.97403 [-4*(36*x^5+36*x^4+12*x^3+6*x^2-3*x-1)/(12*x^3+4*x-1)/(12*x^3-1) ogf] A183494 10.7936 [-(x+1)*(2*x^2-1)/(2*x-1)/(2*x^3-1) ogf] A183494 5.81841 [-(537*f(x)+1085)*(4*f(x)*x^4-2*f(x)*x^3+2*x^3-2*f(x)*x+2*x^2+f(x)-x-1) ogf] A183494 9.74361 [-(3-4*x-4*x^3-16*x^4+16*x^5+8*x^6+4*x^2)/(-1+2*x)/(x+1)/(2*x^2-1)/(2*x^3-1) lgdogf] A183495 4.34675 [-(128*x^8+256*x^7-96*x^6-48*x^5+28*x^4-4*x^3-12*x^2-3*x+3)/(2*x+1)/(2*x-1)/(4*x-1)/(4*x^3-1)/(4*x^3+1) ogf] A183503 5.4736 [(1304*f(x)+2073)*(9*f(x)*x^4-3*f(x)*x^3+9*x^3-3*f(x)*x+9*x^2+f(x)-3*x-3) ogf] A183503 8.83117 [-(4-6*x+54*x^5+27*x^6-12*x^3-36*x^4+9*x^2)/(3*x-1)/(x+1)/(3*x^2-1)/(3*x^3-1) lgdogf] A183503 9.91596 [-3*(x+1)*(3*x^2-1)/(3*x^3-1)/(3*x-1) ogf] A183506 3.49766 [-3*(471033469863*x^5+90171081225*x^4-1113223225*x^3-900855)/(81*x-1)/(17445684069*x^5-33365) ogf] A183510 6.35091 [-(6*x^6+9*x^5-x^4+2*x^3-x^2-2)/(x+1)/(6*x^6-5*x^5+4*x^4-2*x^3+2*x^2-3*x+1) ogf] A183547 3.60317 [-(10*x^9+9*x^8+13*x^7+17*x^6-32*x^5+10*x^4-23*x^3+5*x^2+3)/(2*x^10+7*x^9+4*x^8+8*x^7-13*x^6-9*x^4+4*x^3-3*x^2+5*x-1) ogf] A183557 3.53811 [x*(x^6+5*x^4+2*x^3+x^2+2*x+1)/(x-1)/(x^2+1)/(x^4+4*x^2-1) ogf] A183575 10.4606 [-(f(x)-8)*(f(x)*x^4-2*f(x)*x^3-2*x^3+2*f(x)*x+2*x^2-f(x)+2*x) ogf] A183575 20.2682 [2*(x^2-x-1)/(x+1)/(x-1)^3 ogf] A183575 29.0339 [-(-3-4*x+2*x^3-x^2)/(x-1)/(x+1)/(-1-x+x^2) lgdogf] A183586 12.0642 [-2*(4*x+3)/(12*x^2+8*x-1) ogf] A183586 12.0753 [1/4*(-3-4*x+((9+14*x)*(2*x+1))^(1/2))/(2+3*x) revogf] A183586 13.2534 [-4*(7+18*x+12*x^2)/(4*x+3)/(12*x^2+8*x-1) lgdogf] A183586 6.30627 [(37*f(x)-26)*(12*f(x)*x^2+8*f(x)*x-f(x)+8*x+6) ogf] A183586 6.60656 [{a(n+2)-8*a(n+1)-12*a(n),a(0)=6,a(1)=56} ogf] A183587 3.05645 [(24038915665*f(x)+346337384222)*(192*f(x)*x^4-296*f(x)*x^3-30*f(x)*x^2+512*x^3+24*f(x)*x-772*x^2-f(x)-101*x+56) ogf] A183587 5.80727 [-(512*x^3-772*x^2-101*x+56)/(192*x^4-296*x^3-30*x^2+24*x-1) ogf] A183596 4.00986 [(1490785*f(x)+824859)*(2*f(x)*x^4-16*f(x)*x^3-3*f(x)*x^2+9*x^3+8*f(x)*x-72*x^2-f(x)-12*x+27) ogf] A183596 6.22626 [-(68-102*x+152*x^3+369*x^4-96*x^5+6*x^6-219*x^2)/(3*x^3-24*x^2-4*x+9)/(2*x^4-16*x^3-3*x^2+8*x-1) lgdogf] A183596 7.52468 [-3*(3*x^3-24*x^2-4*x+9)/(2*x^4-16*x^3-3*x^2+8*x-1) ogf] A183597 3.38077 [-(3024*x^6-5400*x^5-4094*x^4+5338*x^3+2974*x^2-39*x-120)/(224*x^7-400*x^6-324*x^5+420*x^4+238*x^3-20*x^2-12*x+1) ogf] A183611 12.7592 [2/3*3^(1/2)*exp(-1/2*x)*sin(1/2*3^(1/2)*x) revegf] A183615 11.5615 [-2*(8*x-3)/(24*x^2-12*x+1) ogf] A183615 12.6370 [-1/8*(-3-6*x+(9+20*x+12*x^2)^(1/2))/(2+3*x) revogf] A183615 12.9378 [-4*(7-36*x+48*x^2)/(8*x-3)/(24*x^2-12*x+1) lgdogf] A183615 5.96722 [-(6*f(x)+13)*(24*f(x)*x^2-12*f(x)*x+f(x)+16*x-6) ogf] A183615 6.52884 [{a(n+2)-12*a(n+1)+24*a(n),a(0)=6,a(1)=56} ogf] A183616 3.24596 [-(130393*f(x)+394318)*(192*f(x)*x^4-112*f(x)*x^3-84*f(x)*x^2+512*x^3+21*f(x)*x-272*x^2-f(x)-228*x+36) ogf] A183616 5.91486 [-4*(128*x^3-68*x^2-57*x+9)/(12*x^2+5*x-1)/(16*x^2-16*x+1) ogf] A183624 10.3499 [-(54*x^2-69*x+19)/(x-1)/(3*x-1)/(2*x-1) ogf] A183624 5.33925 [-(1027*f(x)+20862)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+54*x^2-f(x)-69*x+19) ogf] A183624 5.74997 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=19,a(1)=45,a(2)=115} ogf] A183624 8.79827 [-(45-310*x-828*x^3+324*x^4+777*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(54*x^2-69*x+19) lgdogf] A183625 10.0890 [-3*(54*x^2-61*x+15)/(x-1)/(3*x-1)/(2*x-1) ogf] A183625 5.36479 [-(113*f(x)+6795)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+162*x^2-f(x)-183*x+45) ogf] A183625 5.77748 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=45,a(1)=87,a(2)=189} ogf] A183625 8.84119 [-(29-222*x-732*x^3+324*x^4+617*x^2)/(x-1)/(3*x-1)/(-1+2*x)/(54*x^2-61*x+15) lgdogf] A183626 4.68469 [-(810143*f(x)-235855386)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+486*x^2-f(x)-501*x+115) ogf] A183626 5.31455 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=115,a(1)=189,a(2)=355} ogf] A183626 7.46650 [-(189-1558*x+2916*x^4-6012*x^3+4665*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(486*x^2-501*x+115) lgdogf] A183626 9.30047 [-(486*x^2-501*x+115)/(x-1)/(3*x-1)/(2*x-1) ogf] A183627 4.85199 [-(737*f(x)-557397)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+1458*x^2-f(x)-1407*x+309) ogf] A183627 5.34126 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=309,a(1)=447,a(2)=741} ogf] A183627 7.50479 [-(149-1294*x+2916*x^4-5628*x^3+4097*x^2)/(x-1)/(-1+3*x)/(2*x-1)/(486*x^2-469*x+103) lgdogf] A183627 9.08014 [-3*(486*x^2-469*x+103)/(x-1)/(3*x-1)/(2*x-1) ogf] A183628 4.59804 [-(21805747*f(x)-38755727298)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+4374*x^2-f(x)-4029*x+859) ogf] A183628 5.35803 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=859,a(1)=1125,a(2)=1675} ogf] A183628 7.14169 [-(1125-10150*x+33537*x^2-48348*x^3+26244*x^4)/(x-1)/(3*x-1)/(2*x-1)/(4374*x^2-4029*x+859) lgdogf] A183628 9.26174 [-(4374*x^2-4029*x+859)/(x-1)/(3*x-1)/(2*x-1) ogf] A183629 4.31408 [-(824873*f(x)-3744329445)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+13122*x^2-f(x)-11703*x+2445) ogf] A183629 4.98594 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=2445,a(1)=2967,a(2)=4029} ogf] A183629 6.76981 [-(989-9182*x+31337*x^2-46812*x^3+26244*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(4374*x^2-3901*x+815) lgdogf] A183629 8.33267 [-3*(4374*x^2-3901*x+815)/(x-1)/(3*x-1)/(2*x-1) ogf] A183630 3.98511 [-(4716317038703*f(x)-57782516916361626)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+39366*x^2-f(x)-34341*x+7075) ogf] A183630 5.02189 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=7075,a(1)=8109,a(2)=10195} ogf] A183630 6.30364 [-(8109-76918*x+268905*x^2-412092*x^3+236196*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(39366*x^2-34341*x+7075) lgdogf] A183630 8.46153 [-(39366*x^2-34341*x+7075)/(x-1)/(3*x-1)/(2*x-1) ogf] A183631 4.11279 [-(22354107617*f(x)-765371098188477)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+118098*x^2-f(x)-101487*x+20709) ogf] A183631 5.06695 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=20709,a(1)=22767,a(2)=26901} ogf] A183631 6.53502 [-(7589-73134*x+260177*x^2-405948*x^3+236196*x^4)/(x-1)/(3*x-1)/(2*x-1)/(39366*x^2-33829*x+6903) lgdogf] A183631 8.33380 [-3*(39366*x^2-33829*x+6903)/(x-1)/(3*x-1)/(2*x-1) ogf] A183634 3.94108 [-(16981*f(x)+52320)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+384*x^3-10*f(x)*x-632*x^2+f(x)+304*x-44) ogf] A183634 7.16559 [-4*(96*x^3-158*x^2+76*x-11)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183635 4.00475 [(937*f(x)-299936)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+1536*x^3-10*f(x)*x-2312*x^2+f(x)+1020*x-136) ogf] A183635 5.24698 [-(85-1224*x+9216*x^6-27744*x^5+7093*x^2-21084*x^3+33820*x^4)/(x-1)/(-1+3*x)/(2*x-1)/(-1+4*x)/(384*x^3-578*x^2+255*x-34) lgdogf] A183635 6.92124 [-4*(384*x^3-578*x^2+255*x-34)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183636 3.7164 [-(57898931*f(x)-27621220512)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+6144*x^3-10*f(x)*x-8600*x^2+f(x)+3568*x-452) ogf] A183636 6.98843 [-4*(1536*x^3-2150*x^2+892*x-113)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183637 3.44466 [-(1912727*f(x)-6349175904)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+24576*x^3-10*f(x)*x-32456*x^2+f(x)+12876*x-1576) ogf] A183637 6.27932 [-4*(6144*x^3-8114*x^2+3219*x-394)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183638 3.27245 [(84478457370851*f(x)-915950459578248480)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+98304*x^3-10*f(x)*x-123992*x^2+f(x)+47584*x-5684) ogf] A183638 6.30875 [-4*(24576*x^3-30998*x^2+11896*x-1421)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183639 3.35059 [(4691558229647*f(x)-170896319833113696)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+393216*x^3-10*f(x)*x-478472*x^2+f(x)+179100*x-21016) ogf] A183639 6.33260 [-4*(98304*x^3-119618*x^2+44775*x-5254)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183640 5.84461 [-4*(393216*x^3-465350*x^2+170932*x-19793)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A183644 5.19613 [-(3000*x^4-5770*x^3+3683*x^2-950*x+85)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183645 5.07751 [-(15000*x^4-26930*x^3+16055*x^2-3874*x+325)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183646 5.12493 [-(75000*x^4-126970*x^3+71843*x^2-16550*x+1333)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183647 4.64407 [-5*(75000*x^4-120826*x^3+65635*x^2-14618*x+1145)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183648 4.60069 [-(1875000*x^4-2897770*x^3+1524203*x^2-330950*x+25405)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183649 3.80645 [-(9375000*x^4-13997330*x^3+7175735*x^2-1527874*x+115525)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183654 4.05633 [-2*(12960*x^5-27792*x^4+21234*x^3-7409*x^2+1200*x-73)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183655 4.02607 [-6*(25920*x^5-52584*x^4+37994*x^3-12543*x^2+1924*x-111)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183656 3.63689 [-2*(466560*x^5-901512*x^4+622938*x^3-197411*x^2+29172*x-1627)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183657 3.66854 [-6*(933120*x^5-1728024*x^4+1151450*x^3-353635*x^2+50860*x-2771)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183658 3.31131 [-2*(16796160*x^5-29979432*x^4+19388154*x^3-5809499*x^2+818580*x-43843)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A183664 3.23921 [-(246960*x^6-574812*x^5+499000*x^4-211729*x^3+47033*x^2-5243*x+231)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A183665 3.19378 [-(1728720*x^6-3842244*x^5+3182536*x^4-1288407*x^3+273175*x^2-29085*x+1225)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A183666 3.20116 [-(12101040*x^6-25807068*x^5+20565592*x^4-8030449*x^3+1646297*x^2-169883*x+6951)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A183682 14.0722 [-4*(5*x+3)/(4*x^2+x-1) ogf] A183682 15.8137 [1/8*(-12-x+((4+x)*(17*x+36))^(1/2))/(5+x) revogf] A183682 18.0101 [-4*(2+6*x+5*x^2)/(5*x+3)/(4*x^2+x-1) lgdogf] A183682 6.96204 [-(123*f(x)-452)*(4*f(x)*x^2+f(x)*x-f(x)+20*x+12) ogf] A183682 7.87374 [{a(n+2)-a(n+1)-4*a(n),a(0)=12,a(1)=32} ogf] A183683 5.63379 [(3161*f(x)-54384)*(16*f(x)*x^3+13*f(x)*x^2+208*x^2-f(x)+208*x+48) ogf] A183683 5.96847 [{-a(n+3)+13*a(n+1)+16*a(n),a(0)=48,a(1)=208,a(2)=832} ogf] A183683 8.55995 [-(13+104*x+313*x^2+416*x^3+208*x^4)/(13*x^2+13*x+3)/(16*x^3+13*x^2-1) lgdogf] A183683 9.41898 [-16*(13*x^2+13*x+3)/(16*x^3+13*x^2-1) ogf] A183684 3.53333 [-(1069*f(x)+102572)*(72*f(x)*x^4+20*f(x)*x^3-18*f(x)*x^2+1504*x^3-3*f(x)*x+624*x^2+f(x)-240*x-96) ogf] A183684 5.27195 [-3*(11+46*x-85*x^2-588*x^3-256*x^4+1872*x^5+2256*x^6)/(2*x+1)/(94*x^3+39*x^2-15*x-6)/(36*x^3-8*x^2-5*x+1) lgdogf] A183684 6.42423 [-16*(94*x^3+39*x^2-15*x-6)/(2*x+1)/(36*x^3-8*x^2-5*x+1) ogf] A183685 3.07785 [-16*(17344*x^7+4668*x^6-8058*x^5-2127*x^4+1123*x^3+287*x^2-49*x-12)/(8192*x^8+1392*x^7-4232*x^6-612*x^5+720*x^4+78*x^3-48*x^2-3*x+1) ogf] A183690 12.5922 [-2*(32*x+25)/(8*x^2+5*x-1) ogf] A183690 12.6099 [1/16*(-50-5*x+(2500+756*x+57*x^2)^(1/2))/(8+x) revogf] A183690 13.1831 [-(157+400*x+256*x^2)/(32*x+25)/(8*x^2+5*x-1) lgdogf] A183690 6.36379 [(1185*f(x)-9952)*(8*f(x)*x^2+5*f(x)*x-f(x)+64*x+50) ogf] A183690 6.96273 [{a(n+2)-5*a(n+1)-8*a(n),a(0)=50,a(1)=314} ogf] A183691 2.66461 [-(1778051721352341*f(x)+47500088992915312)*(208*f(x)*x^4-74*f(x)*x^3-91*f(x)*x^2+4576*x^3-8*f(x)*x-1332*x^2+f(x)-2082*x-314) ogf] A183691 5.41610 [-2*(2288*x^3-666*x^2-1041*x-157)/(208*x^4-74*x^3-91*x^2-8*x+1) ogf] A183702 10.3508 [-(103+384*x+360*x^2)/(15*x+8)/(24*x^2+11*x-1) lgdogf] A183702 4.86344 [(1517*f(x)-36648)*(24*f(x)*x^2+11*f(x)*x-f(x)+360*x+192) ogf] A183702 5.35525 [{a(n+2)-11*a(n+1)-24*a(n),a(0)=192,a(1)=2472} ogf] A183702 9.13303 [1/48*(-192-11*x+((7*x+96)*(31*x+384))^(1/2))/(15+x) revogf] A183702 9.34543 [-24*(15*x+8)/(24*x^2+11*x-1) ogf] A183703 4.90358 [-24*(9747*x^3-3561*x^2-1539*x-103)/(4104*x^4-1587*x^3-617*x^2-29*x+1) ogf] A183712 11.5767 [-(17+6*x-4*x^3+2*x^4-7*x^2)/(2*x^2-2*x-5)/(x^3-x^2-3*x+1) lgdogf] A183712 11.9642 [-(2*x^2-2*x-5)/(x^3-x^2-3*x+1) ogf] A183712 6.03152 [-(5435*f(x)+5249)*(f(x)*x^3-f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x-5) ogf] A183712 6.40188 [{a(n+3)-3*a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=17,a(2)=54} ogf] A183713 5.94879 [-2*(2*x^5-4*x^4-19*x^3-2*x^2+15*x+6)/(x-1)/(x+1)/(x^4-2*x^3-9*x^2-2*x+1) ogf] A183721 5.66209 [x*(x^2-2*x-1)^2/(x+1)/(2*x^2-5*x+1)/(x^3-2*x^2-4*x+1) ogf] A183721 5.90664 [-(12-42*x+4*x^7-45*x^2-44*x^3+36*x^4+30*x^5-23*x^6)/(x+1)/(2*x^2-5*x+1)/(x^2-2*x-1)/(x^3-2*x^2-4*x+1) lgdogf] A183766 3.02848 [{(-2304*n^3-17280*n^2-42944*n-35360)*a(n+1)+(9*n^3+72*n^2+191*n+168)*a(n+2),a(0)=40,a(1)=7392} ogf] A183767 4.06208 [{(-64*n^2-320*n-396)*a(n+1)+(2*n^2+11*n+15)*a(n+2),a(0)=12,a(1)=280} ogf] A183767 7.95750 [-1/256*(-3-24*x-32*x^3-8*x^4-44*x^2+(9+16*x+8*x^2)^(1/2))/(1+x)^4 revogf] A183769 2.82447 [{(-1152*n^3-8640*n^2-21472*n-17680)*a(n+1)+(9*n^3+72*n^2+191*n+168)*a(n+2),a(0)=160,a(1)=14784} ogf] A183774 15.0876 [-(8*x+5)/(4*x^2+x-1) ogf] A183774 16.6440 [1/8*(-5-x+((17*x+25)*(1+x))^(1/2))/(x+2) revogf] A183774 17.9935 [-(13+40*x+32*x^2)/(8*x+5)/(4*x^2+x-1) lgdogf] A183774 7.80394 [(53*f(x)-96)*(4*f(x)*x^2+f(x)*x-f(x)+8*x+5) ogf] A183774 8.18004 [{a(n+2)-a(n+1)-4*a(n),a(0)=5,a(1)=13} ogf] A183775 10.0037 [-(32*x^2-8*x-13)/(8*x^3-4*x^2-3*x+1) ogf] A183775 5.00186 [-(13835*f(x)+109616)*(8*f(x)*x^3-4*f(x)*x^2-3*f(x)*x+32*x^2+f(x)-8*x-13) ogf] A183775 5.43304 [{a(n+3)-3*a(n+2)-4*a(n+1)+8*a(n),a(0)=13,a(1)=47,a(2)=161} ogf] A183775 8.82416 [-(47+40*x-128*x^3+256*x^4-184*x^2)/(32*x^2-8*x-13)/(8*x^3-4*x^2-3*x+1) lgdogf] A183776 5.05783 [-(512*x^5+280*x^4-494*x^3-186*x^2+95*x+33)/(2*x+1)/(32*x^5-4*x^4-33*x^3+10*x^2+4*x-1) ogf] A183784 4.92349 [(176*f(x)-849)*(24*f(x)*x^3+24*f(x)*x^2+3*f(x)*x+108*x^2-f(x)+123*x+31) ogf] A183784 5.00555 [{-a(n+3)+3*a(n+2)+24*a(n+1)+24*a(n),a(0)=31,a(1)=216,a(2)=1500} ogf] A183784 7.45428 [-12*(18+142*x+405*x^2+492*x^3+216*x^4)/(108*x^2+123*x+31)/(24*x^3+24*x^2+3*x-1) lgdogf] A183784 8.83332 [-(108*x^2+123*x+31)/(24*x^3+24*x^2+3*x-1) ogf] A183785 3.66268 [-2*(9072*x^5-13611*x^4+3422*x^3+2049*x^2-480*x-108)/(1344*x^6-2092*x^5+618*x^4+279*x^3-90*x^2-12*x+1) ogf] A183794 3.10071 [-(316163119*f(x)-958283856)*(144*f(x)*x^4+206*f(x)*x^3+81*f(x)*x^2+576*x^3+6*f(x)*x+866*x^2-f(x)+388*x+53) ogf] A183794 5.88787 [-(576*x^3+866*x^2+388*x+53)/(144*x^4+206*x^3+81*x^2+6*x-1) ogf] A183804 4.85017 [-(1959*f(x)+2719)*(15*f(x)*x^3-9*f(x)*x^2-3*f(x)*x+11*x^2+f(x)-4*x-3) ogf] A183804 5.18757 [{-a(n+3)+3*a(n+2)+9*a(n+1)-15*a(n),a(0)=3,a(1)=13,a(2)=55} ogf] A183804 8.46676 [-(13+32*x-120*x^3+165*x^4-66*x^2)/(11*x^2-4*x-3)/(15*x^3-9*x^2-3*x+1) lgdogf] A183804 9.46938 [-(11*x^2-4*x-3)/(15*x^3-9*x^2-3*x+1) ogf] A183805 5.84461 [-(98*x^4+108*x^3-116*x^2+x+9)/(6*x-1)/(2*x-1)/(5*x^3+8*x^2-2*x-1) ogf] A183813 4.06646 [-(1104375*f(x)+1102744)*(330*f(x)*x^3-120*f(x)*x^2-15*f(x)*x+134*x^2+f(x)-42*x-8) ogf] A183813 4.49978 [{-a(n+3)+15*a(n+2)+120*a(n+1)-330*a(n),a(0)=8,a(1)=162,a(2)=3256} ogf] A183813 6.72353 [-(81+826*x-13860*x^3+22110*x^4-435*x^2)/(67*x^2-21*x-4)/(330*x^3-120*x^2-15*x+1) lgdogf] A183813 7.95613 [-2*(67*x^2-21*x-4)/(330*x^3-120*x^2-15*x+1) ogf] A183814 4.37698 [-8*(7624*x^4+4218*x^3-1580*x^2+63*x+8)/(45920*x^5+24480*x^4-10054*x^3+560*x^2+43*x-1) ogf] A183821 3.73238 [-(64385663*f(x)+60519471)*(2451*f(x)*x^3-645*f(x)*x^2-43*f(x)*x+687*x^2+f(x)-168*x-15) ogf] A183821 4.18027 [{-a(n+3)+43*a(n+2)+645*a(n+1)-2451*a(n),a(0)=15,a(1)=813,a(2)=43947} ogf] A183821 5.88480 [-(271+5992*x+9202*x^2-274512*x^3+561279*x^4)/(229*x^2-56*x-5)/(2451*x^3-645*x^2-43*x+1) lgdogf] A183821 7.25742 [-3*(229*x^2-56*x-5)/(2451*x^3-645*x^2-43*x+1) ogf] A183829 3.31794 [-(552*x^7+4160*x^6-7906*x^5-6*x^4+5444*x^3-2150*x^2-193*x+127)/(x-1)/(24*x^7+200*x^6-186*x^5-118*x^4+128*x^3-14*x^2-7*x+1) ogf] A183838 3.63142 [-(615815959*f(x)+8128250698)*(18*f(x)*x^4-22*f(x)*x^3+f(x)*x^2+140*x^3+5*f(x)*x-134*x^2-f(x)-26*x+31) ogf] A183838 7.09194 [-(140*x^3-134*x^2-26*x+31)/(18*x^4-22*x^3+x^2+5*x-1) ogf] A183857 13.1417 [-(-4-8*x+x^6-3*x^4-8*x^3-14*x^2)/(x-1)/(x^2+x+1)/(x^4-x^3-x^2-2*x-1) lgdogf] A183857 9.78133 [(x^4-x^3-x^2-2*x-1)/(x^2+x+1)/(x-1)^3 ogf] A183859 13.6598 [-(-3-4*x-2*x^3+x^6-10*x^2)/(x-1)/(x^2+x+1)/(-1-x+x^2)/(1+x^2) lgdogf] A183859 9.99234 [(x^2+1)*(x^2-x-1)/(x^2+x+1)/(x-1)^3 ogf] A183861 12.3075 [(x^2+1)*(x^3-x^2-1)/(x^2+x+1)/(x-1)^3 ogf] A183861 16.5751 [-(-2-6*x+2*x^5-x^4-6*x^3-6*x^2+x^6)/(x-1)/(x^2+1)/(x^2+x+1)/(x^3-x^2-1) lgdogf] A183863 12.1146 [(x^6-x^5-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A183863 12.4389 [-(-3-6*x-6*x^5-18*x^4-8*x^3+x^10-9*x^2-7*x^6-4*x^7)/(x-1)/(x^4+x^3+x^2+x+1)/(x^6-x^5-x^3-x^2-x-1) lgdogf] A183865 8.91981 [-(-4-6*x^7-8*x-14*x^5-3*x^8-9*x^6-11*x^2+x^10-14*x^3-22*x^4)/(x-1)/(x^4+x^3+x^2+x+1)/(x^6-x^5-x^4-x^3-x^2-2*x-1) lgdogf] A183865 9.31560 [(x^6-x^5-x^4-x^3-x^2-2*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A183871 14.3581 [-(-3-4*x+3*x^8-2*x^7-5*x^6+4*x^5-14*x^4-2*x^3-7*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3-x^2+x-2) lgdogf] A183871 14.7010 [(x^4-x^3-x^2+x-2)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A183873 12.9374 [(x^2+1)*(x^4-x^3-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A183873 13.2762 [-(-2-4*x+x^10+3*x^8-2*x^7-5*x^6+2*x^5-14*x^4-2*x^3-7*x^2)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3-1) lgdogf] A183877 3.97744 [(1331882*f(x)-13853217)*(3*f(x)*x^4-10*f(x)*x^3-18*x^4+12*f(x)*x^2+33*x^3-6*f(x)*x+3*x^2+f(x)-25*x-1) ogf] A183877 7.20358 [(18*x^4-33*x^3-3*x^2+25*x+1)/(3*x-1)/(x-1)^3 ogf] A183877 8.25468 [-(-31-32*x+81*x^4-288*x^3+318*x^2)/(x-1)/(3*x-1)/(18*x^4-33*x^3-3*x^2+25*x+1) lgdogf] A183878 3.52806 [(384*x^8-1536*x^7+2040*x^6-444*x^5-1318*x^4+1087*x^3-258*x^2+13*x-4)/(4*x-1)/(2*x-1)^2/(x-1)^4 ogf] A183879 3.00951 [-(960*x^8-4312*x^7+7204*x^6-4706*x^5-701*x^4+1960*x^3-538*x^2-10*x-1)/(5*x-1)/(2*x-1)^3/(x-1)^4 ogf] A183885 5.61538 [(-121-52*x+450*x^6-2100*x^5+3995*x^4-3848*x^3+1724*x^2)/(x-1)/(3*x-1)/(150*x^5-410*x^4+285*x^3+83*x^2-115*x-1) lgdogf] A183885 6.05993 [-(150*x^5-410*x^4+285*x^3+83*x^2-115*x-1)/(3*x-1)/(x-1)^3 ogf] A183886 3.60597 [2*(656*x^7-2996*x^6+5336*x^5-4469*x^4+1488*x^3+x^2-50*x-8)/(4*x-1)/(2*x-1)^2/(x-1)^4 ogf] A183897 11.1374 [-(3*x^2-3*x-1)*(x^2-x-1)/(x-1)^3 ogf] A183897 14.2661 [(-7-6*x-12*x^3+3*x^4+19*x^2)/(x-1)/(3*x^2-3*x-1)/(-1-x+x^2) lgdogf] A183897 5.83390 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=1,a(1)=7,a(2)=17,a(3)=25,a(4)=34} ogf] A183897 6.25973 [-(787*f(x)-43233)*(f(x)*x^3+3*x^4-3*f(x)*x^2-6*x^3+3*f(x)*x-x^2-f(x)+4*x+1) ogf] A183898 14.0081 [-2*(7+3*x+7*x^3-15*x^2)/(x-1)/(8*x^4-18*x^3+12*x^2-6*x+5) lgdogf] A183898 5.42401 [(11*f(x)-735)*(f(x)*x^4-4*f(x)*x^3-8*x^4+6*f(x)*x^2+18*x^3-4*f(x)*x-12*x^2+f(x)+6*x-5) ogf] A183898 9.35174 [(8*x^4-18*x^3+12*x^2-6*x+5)/(x-1)^4 ogf] A183899 6.61903 [(2*x^7+5*x^6+2*x^5-74*x^4+116*x^3-51*x^2-1)/(x-1)^5 ogf] A183899 7.73011 [(5+102*x+4*x^7-9*x^6-30*x^5+64*x^4+64*x^3-195*x^2)/(x-1)/(2*x^7+5*x^6+2*x^5-74*x^4+116*x^3-51*x^2-1) lgdogf] A183900 5.10593 [-(6*x^9-38*x^8+78*x^7-59*x^6+38*x^5-102*x^4+116*x^3-31*x^2-6*x-3)/(x-1)^6 ogf] A183901 4.52861 [(33*x^9-102*x^8-60*x^7+548*x^6-649*x^5+72*x^4+302*x^3-150*x^2+6*x-1)/(x-1)^7 ogf] A183905 12.3137 [(2*x^3-x^2-x-1)/(x-1)^3 ogf] A183905 22.5341 [-(-4-4*x+5*x^2)/(x-1)/(2*x^3-x^2-x-1) lgdogf] A183905 6.34061 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=17} ogf] A183905 6.90766 [(25*f(x)-1177)*(f(x)*x^3-3*f(x)*x^2-2*x^3+3*f(x)*x+x^2-f(x)+x+1) ogf] A183906 11.1904 [(-5-9*x+12*x^3-10*x^4+2*x^5+6*x^2)/(x-1)/(2*x^5-x^4-8*x^3+9*x^2-3*x+2) lgdogf] A183906 8.58563 [(2*x^5-x^4-8*x^3+9*x^2-3*x+2)/(x-1)^4 ogf] A183907 11.1720 [-(2+28*x-12*x^2-36*x^3+23*x^4)/(x-1)/(4*x^5+3*x^4-24*x^3+20*x^2-3*x+1) lgdogf] A183907 7.58855 [-(4*x^5+3*x^4-24*x^3+20*x^2-3*x+1)/(x-1)^5 ogf] A183908 5.72820 [-(4*x^7-5*x^6-11*x^5+10*x^4+18*x^3-19*x^2+4*x-2)/(x-1)^6 ogf] A183908 7.20183 [(8+18*x+4*x^7-28*x^6+41*x^5+35*x^4-94*x^3+22*x^2)/(x-1)/(4*x^7-5*x^6-11*x^5+10*x^4+18*x^3-19*x^2+4*x-2) lgdogf] A183909 4.84316 [-(4*x^9-9*x^8-16*x^7+40*x^6+3*x^5-20*x^4-32*x^3+36*x^2-6*x+1)/(x-1)^7 ogf] A183909 5.64748 [(-1-36*x-45*x^8+72*x^6-246*x^5+45*x^4+208*x^3+8*x^9+72*x^7-84*x^2)/(x-1)/(4*x^9-9*x^8-16*x^7+40*x^6+3*x^5-20*x^4-32*x^3+36*x^2-6*x+1) lgdogf] A183910 3.86092 [-(10*x^10-49*x^9+44*x^8+129*x^7-302*x^6+231*x^5-102*x^4+85*x^3-56*x^2+11*x-2)/(x-1)^8 ogf] A183911 3.50075 [(2*x^11+20*x^10-120*x^9+147*x^8+120*x^7-327*x^6+116*x^5+80*x^4-12*x^3-31*x^2+5*x-1)/(x-1)^9 ogf] A183918 12.8228 [-x^5-x^3-x^2-x-1+f(x) ogf] A183918 33.1238 [(1+2*x+3*x^2+5*x^4)/(x^2+1+x+x^5+x^3) lgdogf] A183919 38.2994 [(1+3*x^2+11*x^10)/(1+x+x^3+x^11) lgdogf] A183920 5.58975 [-(x^10-x^9-2*x^7+x^6+x^5-2*x^2-x-1)/(x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A183928 7.10649 [(x^5+x^3+x+1)/(x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A183928 7.27886 [-(2+4*x+6*x^10+7*x^9+16*x^8+18*x^7+27*x^6+37*x^5+34*x^4+26*x^3+15*x^2)/(x-1)/(x+1)/(x^2+1)/(x^5+x^3+x+1)/(x^2+x+1) lgdogf] A183954 6.72222 [-(x+1)*(x^9-3*x^8+4*x^7-3*x^6+2*x^5-x^4+x^3-x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^3 ogf] A183963 3.50196 [-9*(3456*x^8-96*x^7+96*x^6-108*x^5-932*x^4-37*x^3-17*x^2-3*x+9)/(12*x^3-3*x^2-6*x+1)/(144*x^6+72*x^4-3*x^2-1) ogf] A183977 3.42716 [-2*(4*x^3-5*x^2-2*x+2)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183978 10.6893 [-(12*x^3-9*x^2-6*x+4)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183978 5.93851 [-(7*f(x)+188)*(4*f(x)*x^4-6*f(x)*x^3+12*x^3+3*f(x)*x-9*x^2-f(x)-6*x+4) ogf] A183978 5.98602 [{-a(n+4)+3*a(n+3)-6*a(n+1)+4*a(n),a(0)=4,a(1)=6,a(2)=9,a(3)=15} ogf] A183978 8.25019 [-(6-18*x+64*x^3-18*x^4-72*x^5+48*x^6-9*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(12*x^3-9*x^2-6*x+4) lgdogf] A183979 10.4410 [-(20*x^3-13*x^2-10*x+6)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183979 5.96626 [(67*f(x)-2688)*(4*f(x)*x^4-6*f(x)*x^3+20*x^3+3*f(x)*x-13*x^2-f(x)-10*x+6) ogf] A183979 8.01917 [-(8-26*x+96*x^3-42*x^4-104*x^5+80*x^6-9*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(20*x^3-13*x^2-10*x+6) lgdogf] A183980 10.4895 [-(32*x^3-19*x^2-16*x+9)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183980 5.99401 [(91*f(x)-3186)*(4*f(x)*x^4-6*f(x)*x^3+32*x^3+3*f(x)*x-19*x^2-f(x)-16*x+9) ogf] A183980 7.80274 [-(11-38*x+144*x^3-78*x^4-152*x^5+128*x^6-9*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(32*x^3-19*x^2-16*x+9) lgdogf] A183981 10.3937 [-(56*x^3-31*x^2-28*x+15)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183981 5.97435 [(97*f(x)-5010)*(4*f(x)*x^4-6*f(x)*x^3+56*x^3+3*f(x)*x-31*x^2-f(x)-28*x+15) ogf] A183981 7.67790 [-(17-62*x+240*x^3-150*x^4-248*x^5+224*x^6-9*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(56*x^3-31*x^2-28*x+15) lgdogf] A183982 10.4416 [-(96*x^3-51*x^2-48*x+25)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183982 6.00188 [(49*f(x)-4150)*(4*f(x)*x^4-6*f(x)*x^3+96*x^3+3*f(x)*x-51*x^2-f(x)-48*x+25) ogf] A183982 7.63524 [-(27-102*x+400*x^3-270*x^4-408*x^5+384*x^6-9*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(96*x^3-51*x^2-48*x+25) lgdogf] A183983 10.3005 [-(176*x^3-91*x^2-88*x+45)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183983 5.77454 [(4843*f(x)-740970)*(4*f(x)*x^4-6*f(x)*x^3+176*x^3+3*f(x)*x-91*x^2-f(x)-88*x+45) ogf] A183983 7.55811 [-(47-182*x+720*x^3-510*x^4-728*x^5+704*x^6-9*x^2)/(x-1)/(-1+2*x)/(176*x^3-91*x^2-88*x+45)/(2*x^2-1) lgdogf] A183984 5.32602 [(16723*f(x)-4631922)*(4*f(x)*x^4-6*f(x)*x^3+320*x^3+3*f(x)*x-163*x^2-f(x)-160*x+81) ogf] A183984 6.89783 [-(83-326*x-1304*x^5+1280*x^6+1296*x^3-942*x^4-9*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(320*x^3-163*x^2-160*x+81) lgdogf] A183984 9.53079 [-(320*x^3-163*x^2-160*x+81)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183985 5.34929 [(61867*f(x)-32510898)*(4*f(x)*x^4-6*f(x)*x^3+608*x^3+3*f(x)*x-307*x^2-f(x)-304*x+153) ogf] A183985 6.83339 [-(155-614*x+2432*x^6-2456*x^5-1806*x^4+2448*x^3-9*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(608*x^3-307*x^2-304*x+153) lgdogf] A183985 9.58705 [-(608*x^3-307*x^2-304*x+153)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A183995 3.59574 [-(9720*x^8-12420*x^7-6300*x^6+12000*x^5-270*x^4-3549*x^3+665*x^2+315*x-81)/(x-1)/(3*x-1)/(2*x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A183996 3.56865 [-3*(7992*x^8-9252*x^7-5676*x^6+8968*x^5+234*x^4-2673*x^3+425*x^2+239*x-57)/(x-1)/(3*x-1)/(2*x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A183997 3.50982 [-(56376*x^8-60804*x^7-42012*x^6+59088*x^5+3474*x^4-17685*x^3+2497*x^2+1587*x-361)/(x-1)/(3*x-1)/(2*x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A183998 3.46696 [-3*(48600*x^8-49140*x^7-37500*x^6+47992*x^5+4146*x^4-14429*x^3+1837*x^2+1299*x-285)/(x-1)/(3*x-1)/(2*x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A184005 15.1313 [(x^3-x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A184005 21.4100 [-(-4-10*x+x^4-5*x^2)/(x-1)/(x+1)/(x^3-x^2-2*x-1) lgdogf] A184005 8.35246 [(1350*f(x)-8177)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A184006 4.73583 [(x+1)*(x^14+x^13+2*x^11+2*x^9-x^8+3*x^7-x^6+2*x^5+2*x^3+x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A184009 10.9292 [(x^2+1)*(x^6-x^5-x^4-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A184013 16.0846 [(x^5-x^4-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A184013 16.6625 [-(-3-4*x-6*x^5-6*x^4-8*x^3+2*x^9-x^8-4*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5-x^4-x-1) lgdogf] A184017 11.8477 [(x^2+1)*(x^8-x^7+x^5-x^4-x^3+x^2-1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^3 ogf] A184018 5.62487 [f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x-f(x)*x^2-f(x)*x+f(x)-1 ogf] A184031 5.31917 [-(355*f(x)+12058)*(4*f(x)*x^4-6*f(x)*x^3+40*x^3+3*f(x)*x-35*x^2-f(x)-20*x+16) ogf] A184031 5.52695 [{-a(n+4)+3*a(n+3)-6*a(n+1)+4*a(n),a(0)=16,a(1)=28,a(2)=49,a(3)=91} ogf] A184031 7.15304 [-(28-70*x+256*x^3-30*x^4-280*x^5+160*x^6-63*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(40*x^3-35*x^2-20*x+16) lgdogf] A184031 9.69110 [-(40*x^3-35*x^2-20*x+16)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184032 5.34474 [(15491*f(x)-1304878)*(4*f(x)*x^4-6*f(x)*x^3+88*x^3+3*f(x)*x-59*x^2-f(x)-44*x+28) ogf] A184032 7.04289 [-(40-118*x+448*x^3-174*x^4-472*x^5+352*x^6-63*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(88*x^3-59*x^2-44*x+28) lgdogf] A184032 9.73768 [-(88*x^3-59*x^2-44*x+28)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184033 5.26556 [(30275*f(x)-4028572)*(4*f(x)*x^4-6*f(x)*x^3+172*x^3+3*f(x)*x-101*x^2-f(x)-86*x+49) ogf] A184033 6.97246 [-(61-202*x-808*x^5+688*x^6+784*x^3-426*x^4-63*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(172*x^3-101*x^2-86*x+49) lgdogf] A184033 9.47801 [-(172*x^3-101*x^2-86*x+49)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184034 5.23834 [(38465*f(x)-10323016)*(4*f(x)*x^4-6*f(x)*x^3+340*x^3+3*f(x)*x-185*x^2-f(x)-170*x+91) ogf] A184034 6.64197 [-(103-370*x+1360*x^6-1480*x^5-930*x^4+1456*x^3-63*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(340*x^3-185*x^2-170*x+91) lgdogf] A184034 9.44280 [-(340*x^3-185*x^2-170*x+91)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184035 5.15038 [(633755*f(x)-334237132)*(4*f(x)*x^4-6*f(x)*x^3+652*x^3+3*f(x)*x-341*x^2-f(x)-326*x+169) ogf] A184035 6.61168 [-(181-682*x-2728*x^5-1866*x^4+2704*x^3-63*x^2+2608*x^6)/(x-1)/(2*x-1)/(2*x^2-1)/(652*x^3-341*x^2-326*x+169) lgdogf] A184035 9.36434 [-(652*x^3-341*x^2-326*x+169)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184036 5.04233 [(2570027*f(x)-2694440692)*(4*f(x)*x^4-6*f(x)*x^3+1276*x^3+3*f(x)*x-653*x^2-f(x)-638*x+325) ogf] A184036 6.49036 [-(337-1306*x-5224*x^5-3738*x^4+5200*x^3-63*x^2+5104*x^6)/(x-1)/(2*x-1)/(1276*x^3-653*x^2-638*x+325)/(2*x^2-1) lgdogf] A184036 9.24428 [-(1276*x^3-653*x^2-638*x+325)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184037 5.0899 [(203123*f(x)-416748508)*(4*f(x)*x^4-6*f(x)*x^3+2476*x^3+3*f(x)*x-1253*x^2-f(x)-1238*x+625) ogf] A184037 6.32081 [-(637-2506*x+9904*x^6-10024*x^5-7338*x^4+10000*x^3-63*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(2476*x^3-1253*x^2-1238*x+625) lgdogf] A184037 9.09821 [-(2476*x^3-1253*x^2-1238*x+625)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184038 4.72325 [(39164027*f(x)-158965089292)*(4*f(x)*x^4-6*f(x)*x^3+4876*x^3+3*f(x)*x-2453*x^2-f(x)-2438*x+1225) ogf] A184038 5.89997 [-(1237-4906*x-19624*x^5+19504*x^6+19600*x^3-14538*x^4-63*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(4876*x^3-2453*x^2-2438*x+1225) lgdogf] A184038 8.68847 [-(4876*x^3-2453*x^2-2438*x+1225)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184041 5.61683 [(199*f(x)-12824)*(4*f(x)*x^4-6*f(x)*x^3+48*x^3+3*f(x)*x-32*x^2-f(x)-24*x+15) ogf] A184041 7.32821 [-(21-64*x+192*x^6-256*x^5-96*x^4+240*x^3-30*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(48*x^3-32*x^2-24*x+15) lgdogf] A184041 9.92564 [-(48*x^3-32*x^2-24*x+15)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184042 5.53108 [(4357*f(x)-334252)*(4*f(x)*x^4-6*f(x)*x^3+88*x^3+3*f(x)*x-52*x^2-f(x)-44*x+25) ogf] A184042 7.18016 [-(31-104*x+352*x^6-416*x^5-216*x^4+400*x^3-30*x^2)/(x-1)/(-1+2*x)/(2*x^2-1)/(88*x^3-52*x^2-44*x+25) lgdogf] A184042 9.92564 [-(88*x^3-52*x^2-44*x+25)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184043 5.43288 [(21277*f(x)-2957012)*(4*f(x)*x^4-6*f(x)*x^3+168*x^3+3*f(x)*x-92*x^2-f(x)-84*x+45) ogf] A184043 7.21485 [-(51-184*x-736*x^5-456*x^4+720*x^3-30*x^2+672*x^6)/(x-1)/(2*x-1)/(2*x^2-1)/(168*x^3-92*x^2-84*x+45) lgdogf] A184043 9.83792 [-(168*x^3-92*x^2-84*x+45)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184044 5.33897 [(83317*f(x)-21510428)*(4*f(x)*x^4-6*f(x)*x^3+312*x^3+3*f(x)*x-164*x^2-f(x)-156*x+81) ogf] A184044 6.90100 [-(87-328*x+1248*x^6-1312*x^5-888*x^4+1296*x^3-30*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(312*x^3-164*x^2-156*x+81) lgdogf] A184044 9.62421 [-(312*x^3-164*x^2-156*x+81)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184045 5.29815 [(329221*f(x)-164391596)*(4*f(x)*x^4-6*f(x)*x^3+600*x^3+3*f(x)*x-308*x^2-f(x)-300*x+153) ogf] A184045 6.80379 [-(159-616*x-30*x^2-2464*x^5+2400*x^6+2448*x^3-1752*x^4)/(x-1)/(2*x-1)/(2*x^2-1)/(600*x^3-308*x^2-300*x+153) lgdogf] A184045 9.63301 [-(600*x^3-308*x^2-300*x+153)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184046 5.26058 [(247377*f(x)-236518028)*(4*f(x)*x^4-6*f(x)*x^3+1144*x^3+3*f(x)*x-580*x^2-f(x)-572*x+289) ogf] A184046 6.67895 [-(295-1160*x-30*x^2-4640*x^5+4576*x^6+4624*x^3-3384*x^4)/(x-1)/(2*x-1)/(2*x^2-1)/(1144*x^3-580*x^2-572*x+289) lgdogf] A184046 9.50951 [-(1144*x^3-580*x^2-572*x+289)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184047 5.13914 [(4790837*f(x)-8960145628)*(4*f(x)*x^4-6*f(x)*x^3+2232*x^3+3*f(x)*x-1124*x^2-f(x)-1116*x+561) ogf] A184047 6.58955 [-(567-2248*x+8928*x^6-8992*x^5-6648*x^4+8976*x^3-30*x^2)/(x-1)/(2*x-1)/(2*x^2-1)/(2232*x^3-1124*x^2-1116*x+561) lgdogf] A184047 9.31470 [-(2232*x^3-1124*x^2-1116*x+561)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A184052 8.12691 [-(2-6*x+12*x^5-48*x^7+16*x^8+24*x^6+3*x^2+4*x^3-10*x^4)/(x-1)/(2*x-1)/(2*x^2-1)/(4*x^5-10*x^4+5*x^3+2*x^2-3*x+1) lgdogf] A184052 8.25489 [-(4*x^5-10*x^4+5*x^3+2*x^2-3*x+1)/(2*x-1)/(2*x^2-1)/(x-1)^3 ogf] A184063 14.4653 [(-11+15*x+4*x^3-12*x^2)/(x-1)/(x^4-8*x^3+18*x^2-17*x+7) lgdogf] A184063 5.47851 [(3*f(x)+41)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+8*x^3-4*f(x)*x-18*x^2+f(x)+17*x-7) ogf] A184063 9.31976 [(x^4-8*x^3+18*x^2-17*x+7)/(x-1)^4 ogf] A184064 7.63934 [(2*x^6-x^5+5*x^4-19*x^3+38*x^2-28*x+11)/(x-1)^4 ogf] A184064 9.26208 [(-16+8*x-19*x^2-13*x^5+4*x^6-x^3+5*x^4)/(x-1)/(2*x^6-x^5+5*x^4-19*x^3+38*x^2-28*x+11) lgdogf] A184065 4.55580 [(x^12-x^11+5*x^10-31*x^9+31*x^8-62*x^7+73*x^6-4*x^5+52*x^4-2*x^3+106*x^2-44*x+20)/(x-1)^4 ogf] A184096 3.96732 [(2*x^2-2*x-1)*(2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A184103 12.7437 [(x^9-x^8+x^7-x^4-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A184103 9.25827 [-(-2-2*x-4*x^5-4*x^4-6*x^3+x^16-2*x^2+3*x^6+3*x^14+2*x^13-18*x^7+7*x^8-4*x^11+2*x^12)/(x-1)/(x+1)/(x^9-x^8+x^7-x^4-1)/(x^2+1)/(x^4+1) lgdogf] A184107 6.37275 [(x^19-x^18+x^17-x^12+x^11-x^10+x^9-x^8+x^7-x^6-1)/(x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A184109 15.7731 [(x^8-x^6-x^3+x-2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^3 ogf] A184112 11.8397 [-(-3-2*x+2*x^13+2*x^12+3*x^6-4*x^5-4*x^4-6*x^3-18*x^7+9*x^8+3*x^14-4*x^11-2*x^2)/(x-1)/(x+1)/(x^2+1)/(x^7-x^4+x-2)/(x^4+1) lgdogf] A184112 17.0051 [(x^7-x^4+x-2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A184115 8.56850 [(x^24-x^20+x^19-x^18+x^16-x^15-x^10+x^9-x^7+x^6-x^5+x-2)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^3 ogf] A184120 5.38378 [2*f(x)^2*x^3+4*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-4*f(x)*x-f(x)+1 ogf] A184130 4.30738 [-(x-2)*(x^7-7*x^6+22*x^5-39*x^4+42*x^3-28*x^2+11*x-3)/(x-1)^9 ogf] A184130 6.14655 [-(29-66*x+x^8+45*x^6-116*x^5+185*x^4-192*x^3-10*x^7+133*x^2)/(x-2)/(x-1)/(x^7-7*x^6+22*x^5-39*x^4+42*x^3-28*x^2+11*x-3) lgdogf] A184138 4.75105 [-(x^7-8*x^6+27*x^5-52*x^4+62*x^3-45*x^2+18*x-4)/(x-1)^8 ogf] A184138 6.83054 [-(-14+36*x+33*x^5-73*x^4+102*x^3-9*x^6+x^7-84*x^2)/(x-1)/(x^7-8*x^6+27*x^5-52*x^4+62*x^3-45*x^2+18*x-4) lgdogf] A184145 10.1662 [-(499+2408*x+3136*x^2)/(112*x+43)/(28*x^2+9*x-1) lgdogf] A184145 10.1662 [1/56*(-43-9*x+(1849+1222*x+193*x^2)^(1/2))/(4+x) revogf] A184145 10.1850 [-(112*x+43)/(28*x^2+9*x-1) ogf] A184145 5.1986 [(6899*f(x)-47656)*(28*f(x)*x^2+9*f(x)*x-f(x)+112*x+43) ogf] A184145 5.80309 [{a(n+2)-9*a(n+1)-28*a(n),a(0)=43,a(1)=499} ogf] A184146 5.58369 [-(12096*x^3-10003*x^2+736*x+499)/(756*x^4-637*x^3+53*x^2+33*x-1) ogf] A184185 3.98102 [{(n+2)*a(n+1)+(-2*n-6)*a(n+2)+(n+6)*a(n+3)-a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A184189 10.3105 [-(19-32*x+20*x^3+8*x^4-10*x^2)/(4*x-3)/(x+2)/(2*x^3+2*x^2-4*x+1) lgdogf] A184189 11.0286 [-(x+2)*(4*x-3)/(2*x^3+2*x^2-4*x+1) ogf] A184189 5.90128 [{-a(n+3)+4*a(n+2)-2*a(n+1)-2*a(n),a(0)=6,a(1)=19,a(2)=60} ogf] A184189 5.9535 [(17*f(x)-32)*(2*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+4*x^2+f(x)+5*x-6) ogf] A184190 6.02172 [-(8*x^4+41*x^3-34*x^2-29*x+19)/(2*x^5+10*x^4-10*x^3-7*x^2+7*x-1) ogf] A184200 5.58843 [-(16*x^4-6*x^3-87*x^2+20*x+35)/(2*x^5-x^4-11*x^3+4*x^2+5*x-1) ogf] A184209 4.18443 [-(2160*x^5+684*x^4-2220*x^3-679*x^2+400*x+106)/(144*x^6+36*x^5-160*x^4-37*x^3+35*x^2+6*x-1) ogf] A184218 11.3437 [-x^4*(5*x^2-13*x+9)/(x-1)^3 ogf] A184218 18.3097 [-(14-16*x+5*x^2)/(x-1)/(5*x^2-13*x+9) lgdogf] A184220 16.5295 [-(23-24*x+7*x^2)/(x-1)/(7*x^2-19*x+14) lgdogf] A184220 8.84676 [-x^4*(7*x^2-19*x+14)/(x-1)^3 ogf] A184223 4.9131 [-(68699*f(x)+624192)*(6*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+36*x^2+f(x)-12*x-15) ogf] A184223 5.37899 [{a(n+3)-3*a(n+2)-3*a(n+1)+6*a(n),a(0)=15,a(1)=57,a(2)=180} ogf] A184223 9.26395 [-(19+6*x+72*x^4-48*x^3-42*x^2)/(6*x-5)/(2*x+1)/(6*x^3-3*x^2-3*x+1) lgdogf] A184223 9.74942 [-3*(2*x+1)*(6*x-5)/(6*x^3-3*x^2-3*x+1) ogf] A184224 4.78771 [-(168*x^5-324*x^4-250*x^3+547*x^2-69*x-57)/(12*x^6-24*x^5-17*x^4+42*x^3-7*x^2-6*x+1) ogf] A184258 4.94747 [-(x^28-2*x^27+x^26+x^24-x^23+x^21-x^20+x^18+x^8-x^6+x^5-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^3 ogf] A184327 5.38518 [(114234*f(x)-4015)*(f(x)*x^4-6*f(x)*x^3+x^3+6*f(x)*x-5*x^2-f(x)+11*x+1) ogf] A184327 9.84717 [-(x^3-5*x^2+11*x+1)/(x-1)/(x+1)/(x^2-6*x+1) ogf] A184334 13.1921 [(x^2+x+1)/(x^2-x+1) ogf] A184334 21.1355 [x^5-2*x^2-x+2 ogf_with_Euler_transform] A184334 27.9939 [-2*(x-1)*(x+1)/(x^2+1+x)/(x^2-x+1) lgdogf] A184334 6.85474 [{-a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=2,a(2)=2} ogf] A184334 9.84765 [f(x)*x^2-f(x)*x-x^2+f(x)-x-1 ogf] A184337 4.26970 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=81,a(2)=8811} ogf] A184337 4.60678 [-f(x)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-180*x^2-f(x)+81*x) ogf] A184337 7.49646 [-(-979+19980*x+40000*x^3-49200*x^2)/(x-1)/(20*x-9)/(100*x-1)/(10*x-1) lgdogf] A184337 7.72313 [9*x*(20*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A184358 5.84350 [{(n^2+6*n+9)*a(n+1)-2*a(n+2),a(0)=1,a(1)=2} ogf] A184368 12.7801 [-3*(9*x+7)/(9*x^2+6*x-1) ogf] A184368 14.3631 [-3*(17+42*x+27*x^2)/(9*x+7)/(9*x^2+6*x-1) lgdogf] A184368 14.7222 [1/6*(-7-2*x+(49+40*x+8*x^2)^(1/2))/(3+x) revogf] A184368 6.74905 [(16*f(x)-47)*(9*f(x)*x^2+6*f(x)*x-f(x)+27*x+21) ogf] A184368 7.06666 [{a(n+2)-6*a(n+1)-9*a(n),a(0)=21,a(1)=153} ogf] A184369 2.84345 [-(35295678963811*f(x)+122526351796494)*(18*f(x)*x^4-57*f(x)*x^3+19*f(x)*x^2+162*x^3+17*f(x)*x-507*x^2-f(x)+154*x+153) ogf] A184369 5.75080 [-(162*x^3-507*x^2+154*x+153)/(18*x^4-57*x^3+19*x^2+17*x-1) ogf] A184418 11.9639 [(x^2+x+1)^2/(x-1)^2/(x+1)^2 ogf] A184418 23.7980 [-2*(1+4*x+x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A184418 34.8023 [-2*x^2+2*x+2 ogf_with_Euler_transform] A184418 7.93969 [(10*f(x)+3)*(f(x)*x^4-x^4-2*f(x)*x^2-2*x^3-3*x^2+f(x)-2*x-1) ogf] A184423 3.34401 [{(108*n^3+486*n^2+726*n+360)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=12} ogf] A184424 3.72820 [{(-108*n^2-270*n-168)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=6} ogf] A184424 9.21084 [hypergeom([1/6,1/3],[1],108*x) ogf] A184449 4.40251 [-9*(35964*x^6-1458*x^5-432*x^4-1071*x^3+18*x^2+5*x+7)/(3*x-1)/(108*x^3-1)/(54*x^3-1) ogf] A184469 3.05945 [-3*(2332800*x^9-42768*x^8-17496*x^7-269028*x^6+5112*x^5+1944*x^4+9672*x^3-140*x^2-50*x-105)/(3*x-1)/(24*x^3-1)/(18*x^3-1)/(54*x^3-1) ogf] A184485 5.70458 [-(x^15-x^14-2*x^10-4*x^9-5*x^8-4*x^7-4*x^6-5*x^5-4*x^4-4*x^3-4*x^2-5*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A184489 3.562 [-(730884893*f(x)-6511367496)*(12*f(x)*x^4+4*f(x)*x^3-11*f(x)*x^2+96*x^3-3*f(x)*x+44*x^2+f(x)-72*x-31) ogf] A184489 5.39797 [-(165+594*x+264*x^2-1488*x^3-1360*x^4+1056*x^5+1152*x^6)/(2*x+1)/(6*x^3-x^2-5*x+1)/(96*x^3+44*x^2-72*x-31) lgdogf] A184489 7.03816 [-(96*x^3+44*x^2-72*x-31)/(2*x+1)/(6*x^3-x^2-5*x+1) ogf] A184533 10.7657 [(x^2+1)*(x^2-2*x-2)/(x+1)/(x-1)^3 ogf] A184533 15.9488 [2*(3+7*x+x^3+7*x^2)/(x-1)/(x+1)/(1+x^2)/(x^2-2*x-2) lgdogf] A184533 6.32792 [-(f(x)-7)*(f(x)*x^4-2*f(x)*x^3-x^4+2*x^3+2*f(x)*x+x^2-f(x)+2*x+2) ogf] A184534 20.7011 [(x^6-2*x^5+x^4-x^2-x-1)/(x+1)/(x-1)^3 ogf] A184534 22.0466 [(3+8*x-2*x^3+8*x^4-2*x^5-4*x^6+2*x^7+5*x^2)/(x-1)/(x+1)/(x^6-2*x^5+x^4-x^2-x-1) lgdogf] A184535 9.60619 [(x^7-2*x^6+x^5-2*x^4-x^3-2*x^2-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A184535 9.62998 [(2+6*x+6*x^8+8*x^7+11*x^6+12*x^4+16*x^3+20*x^5+9*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(x^7-2*x^6+x^5-2*x^4-x^3-2*x^2-1) lgdogf] A184536 10.8826 [(23*f(x)+261)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+4*x^3-4*f(x)*x-10*x^2+f(x)-12*x-5) ogf] A184536 18.7631 [(x^4-4*x^3+10*x^2+12*x+5)/(x-1)^4 ogf] A184536 35.1265 [-8*(4+7*x+x^2)/(x-1)/(x^4-4*x^3+10*x^2+12*x+5) lgdogf] A184537 16.1841 [(x^5+x^4-12*x^3+34*x^2-17*x+5)/(x-1)^4 ogf] A184537 22.2768 [(-3-17*x+8*x^3-5*x^4+x^5-32*x^2)/(x-1)/(x^5+x^4-12*x^3+34*x^2-17*x+5) lgdogf] A184538 12.1780 [(x+1)*(x^6-3*x^5+3*x^4+6*x^2+3*x+2)/(x^2+x+1)/(x-1)^4 ogf] A184538 12.5755 [(-11-39*x-82*x^3-63*x^4-15*x^5-7*x^6-72*x^2+3*x^7-3*x^8+x^9)/(x-1)/(x+1)/(x^2+x+1)/(x^6-3*x^5+3*x^4+6*x^2+3*x+2) lgdogf] A184540 14.0830 [-(-89+151*x+14*x^3-80*x^2)/(x-1)/(14*x^3-61*x^2+91*x-45) lgdogf] A184540 5.32185 [(8458*f(x)+17889903)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+14*x^3-4*f(x)*x-61*x^2+f(x)+91*x-45) ogf] A184540 9.92098 [-(14*x^3-61*x^2+91*x-45)/(x-1)^4 ogf] A184541 10.2338 [-(193-478*x-158*x^3+22*x^4+426*x^2)/(x-1)/(22*x^4-123*x^3+265*x^2-252*x+89) lgdogf] A184541 7.59303 [-(22*x^4-123*x^3+265*x^2-252*x+89)/(x-1)^5 ogf] A184542 6.21463 [-(31*x^5-209*x^4+578*x^3-796*x^2+542*x-147)/(x-1)^6 ogf] A184542 7.89662 [-(-340+1118*x+898*x^3-263*x^4+31*x^5-1450*x^2)/(x-1)/(31*x^5-209*x^4+578*x^3-796*x^2+542*x-147) lgdogf] A184543 5.03245 [-(41*x^6-322*x^5+1078*x^4-1922*x^3+1909*x^2-1003*x+220)/(x-1)^7 ogf] A184543 6.21443 [-(537-2200*x-398*x^5+1624*x^4-3376*x^3+3779*x^2+41*x^6)/(x-1)/(41*x^6-322*x^5+1078*x^4-1922*x^3+1909*x^2-1003*x+220) lgdogf] A184544 4.28223 [-(52*x^7-465*x^6+1819*x^5-3955*x^4+5120*x^3-3943*x^2+1680*x-309)/(x-1)^8 ogf] A184545 3.79264 [-(64*x^8-641*x^7+2861*x^6-7310*x^5+11605*x^4-11699*x^3+7327*x^2-2621*x+415)/(x-1)^9 ogf] A184549 7.43468 [-(17+29*x+10*x^6+23*x^5+55*x^4+52*x^3+38*x^2)/(x-1)/(x+1)/(5*x^3+6*x^2+11*x+6)/(1+x^2) lgdogf] A184549 8.79553 [x*(5*x^3+6*x^2+11*x+6)/(x^2+1)/(x+1)/(x-1)^2 ogf] A184550 6.87244 [-(11+23*x+22*x^6+29*x^5+37*x^4+52*x^3+50*x^2)/(-1+x)/(x+1)/(x^2+1)/(11*x^3+6*x^2+5*x+6) lgdogf] A184550 8.23318 [x*(11*x^3+6*x^2+5*x+6)/(x^2+1)/(x+1)/(x-1)^2 ogf] A184551 6.74422 [-(17+27*x+12*x^6+21*x^5+35*x^4+72*x^3+40*x^2)/(-1+x)/(x+1)/(x^2+1)/(6*x^3+5*x^2+6*x+11) lgdogf] A184551 8.08150 [x*(6*x^3+5*x^2+6*x+11)/(x^2+1)/(x+1)/(x-1)^2 ogf] A184552 11.1014 [x*(6*x^3+11*x^2+6*x+5)/(x^2+1)/(x+1)/(x-1)^2 ogf] A184552 9.41257 [-(11+33*x+12*x^6+39*x^5+40*x^2+48*x^3+41*x^4)/(x-1)/(x+1)/(6*x^3+11*x^2+6*x+5)/(x^2+1) lgdogf] A184556 5.86001 [-(108*x^4-24*x^3-199*x^2+36*x+50)/(2*x+1)/(6*x^4-5*x^3-9*x^2+8*x-1) ogf] A184592 20.2402 [(x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A184606 4.82572 [(20967*f(x)-21128)*(4*f(x)*x^4+6*f(x)*x^3+8*x^3+3*f(x)*x+14*x^2-f(x)+4*x+8) ogf] A184606 4.82572 [{a(n+4)-3*a(n+3)-6*a(n+1)-4*a(n),a(0)=8,a(1)=28,a(2)=98,a(3)=350} ogf] A184606 6.79943 [-(14+14*x+63*x^2+64*x^3+66*x^4+56*x^5+16*x^6)/(2*x^2+3*x-1)/(2*x^2+1)/(4*x^3+7*x^2+2*x+4) lgdogf] A184606 8.82417 [-2*(4*x^3+7*x^2+2*x+4)/(2*x^2+3*x-1)/(2*x^2+1) ogf] A184628 15.1388 [(x^4-4*x^3+7*x^2+2)/(x-1)^4 ogf] A184628 30.2553 [-2*(4+7*x+x^2)/(x-1)/(x^4-4*x^3+7*x^2+2) lgdogf] A184628 8.57513 [(23*f(x)+48)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+4*x^3-4*f(x)*x-7*x^2+f(x)-2) ogf] A184629 6.47931 [(x^13-3*x^12+3*x^11-2*x^9+2*x^7+3*x^5+6*x^4+5*x^3+4*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A184630 7.44539 [(x^9-3*x^8+4*x^7-4*x^6+3*x^5-x^4+5*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x-1)^4 ogf] A184631 6.51206 [(x+1)*(x^10-3*x^9+3*x^8+x^6+3*x^5+3*x^3+2*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A184632 12.9316 [(x^5-3*x^4+3*x^3+3*x^2+x+1)/(x+1)/(x-1)^4 ogf] A184632 19.2495 [-2*(2+7*x+11*x^2+3*x^3+x^4)/(x-1)/(x+1)/(x^5-3*x^4+3*x^3+3*x^2+x+1) lgdogf] A184633 15.4618 [(x+1)*(x^6-3*x^5+3*x^4-x^3+3*x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A184633 17.2284 [(-4-12*x-24*x^2+x^9-28*x^3-24*x^4-5*x^6+3*x^7-3*x^8)/(x-1)/(x+1)/(x^2+x+1)/(x^6-3*x^5+3*x^4-x^3+3*x^2+1) lgdogf] A184634 11.0868 [(x^2+1)*(x^8-3*x^7+3*x^6-x^5+x^4+4*x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A184635 11.8188 [(x^3-3*x^2-x-5)/(x-1)^3 ogf] A184635 27.5926 [8*(x+2)/(x-1)/(x^3-3*x^2-x-5) lgdogf] A184635 6.04074 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=5,a(1)=16,a(2)=36,a(3)=64} ogf] A184635 6.68443 [(59*f(x)-380)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)+x+5) ogf] A184636 10.2091 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=3,a(1)=8,a(2)=18,a(3)=32} ogf] A184636 11.1221 [(118*f(x)-439)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)-x+3) ogf] A184636 19.8264 [(x-3)*(x^2+1)/(x-1)^3 ogf] A184636 50.0379 [4*(x+2)/(x-1)/(x-3)/(1+x^2) lgdogf] A184637 14.7139 [(x+1)*(x^5-2*x^4+x^3-2*x^2-2)/(x^2+x+1)/(x-1)^3 ogf] A184637 17.8235 [(6+12*x+18*x^3+15*x^4+x^6-2*x^7+x^8+21*x^2)/(x-1)/(x+1)/(x^2+x+1)/(x^5-2*x^4+x^3-2*x^2-2) lgdogf] A184665 3.41101 [-(2304*x^6-432*x^5-4756*x^4+828*x^3+1881*x^2-240*x-150)/(144*x^7-36*x^6-304*x^5+73*x^4+123*x^3-25*x^2-10*x+1) ogf] A184674 10.3626 [(34*f(x)-305)*(f(x)*x^4-2*f(x)*x^3-x^4+x^3+2*f(x)*x-f(x)+1) ogf] A184674 18.8120 [(x^4-x^3-1)/(x+1)/(x-1)^3 ogf] A184674 24.6045 [-(-2-4*x+2*x^3+x^4-3*x^2)/(x-1)/(x+1)/(x^4-x^3-1) lgdogf] A184676 12.6953 [(x^3-x^2-1)/(x+1)/(x-1)^3 ogf] A184676 19.7340 [-(-2-6*x+x^4+x^2)/(x-1)/(x+1)/(x^3-x^2-1) lgdogf] A184676 6.65482 [-(298*f(x)-1883)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)+1) ogf] A184679 10.6825 [-4*(24*x^2+3*x-7)/(2*x-1)/(6*x^2+3*x-1) ogf] A184679 6.08904 [{a(n+3)-5*a(n+2)+12*a(n),a(0)=28,a(1)=128,a(2)=544} ogf] A184679 6.15055 [(7*f(x)+188)*(12*f(x)*x^3-5*f(x)*x+96*x^2+f(x)+12*x-28) ogf] A184679 8.52466 [-4*(8-12*x+18*x^3+72*x^4-33*x^2)/(-1+2*x)/(6*x^2+3*x-1)/(24*x^2+3*x-7) lgdogf] A184680 5.83226 [-4*(64*x^4+100*x^3-150*x^2+3*x+19)/(2*x-1)/(8*x^4+16*x^3-12*x^2-5*x+1) ogf] A184681 3.18082 [-16*(3072*x^6-2688*x^5-1692*x^4+1974*x^3-348*x^2-59*x+13)/(1536*x^7-1392*x^6-848*x^5+1058*x^4-190*x^3-51*x^2+16*x-1) ogf] A184688 11.7983 [-3*(2*x-3)/(16*x^2-22*x+1) ogf] A184688 13.5857 [-32*(x-1)*(-2+x)/(2*x-3)/(16*x^2-22*x+1) lgdogf] A184688 5.96256 [(6969*f(x)+2815)*(16*f(x)*x^2-22*f(x)*x+f(x)+6*x-9) ogf] A184688 6.44788 [{-a(n+2)+22*a(n+1)-16*a(n),a(0)=9,a(1)=192} ogf] A184688 9.70406 [-1/4*(-9-22*x+3^(1/2)*((2*x+1)*(70*x+27))^(1/2))/(3+8*x) revogf] A184689 5.95254 [-3*(32*x^3-58*x^2+37*x-9)/(256*x^4-416*x^3+266*x^2-61*x+1) ogf] A184704 5.76361 [-(x^9-x^8-x^7-x^6-4*x^5-4*x^4-7*x^3-5*x^2-5*x-2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A184750 17.8255 [-(32-32*x+9*x^2)/(x-1)/(9*x^2-25*x+19) lgdogf] A184750 9.54042 [-x^4*(9*x^2-25*x+19)/(x-1)^3 ogf] A184755 4.91104 [-(43937*f(x)-3030)*(4*f(x)*x^3+9*f(x)*x^2+5*f(x)*x+2*x^2-f(x)+5*x+4) ogf] A184755 5.20997 [{a(n+3)-5*a(n+2)-9*a(n+1)-4*a(n),a(0)=4,a(1)=25,a(2)=163} ogf] A184755 9.32005 [-(x+1)*(8*x^3+32*x^2+51*x+25)/(2*x^2+5*x+4)/(4*x^3+9*x^2+5*x-1) lgdogf] A184755 9.82207 [-(2*x^2+5*x+4)/(4*x^3+9*x^2+5*x-1) ogf] A184756 3.26511 [(168802703357*f(x)-91270809689)*(32*f(x)*x^4+58*f(x)*x^3+39*f(x)*x^2+14*x^3+8*f(x)*x+32*x^2-f(x)+25*x+8) ogf] A184756 6.45153 [-(14*x^3+32*x^2+25*x+8)/(32*x^4+58*x^3+39*x^2+8*x-1) ogf] A184757 3.83325 [-(40*x^6-166*x^5+176*x^4+417*x^3+326*x^2+109*x+16)/(32*x^7-228*x^6+434*x^5+889*x^4+550*x^3+150*x^2+13*x-1) ogf] A184765 4.28482 [-(1698329*f(x)+59438544)*(24*f(x)*x^3-8*f(x)*x^2-5*f(x)*x+384*x^2+f(x)-104*x-64) ogf] A184765 4.82492 [{-a(n+3)+5*a(n+2)+8*a(n+1)-24*a(n),a(0)=64,a(1)=424,a(2)=2248} ogf] A184765 7.81095 [-(53+32*x-232*x^2-624*x^3+1152*x^4)/(48*x^2-13*x-8)/(24*x^3-8*x^2-5*x+1) lgdogf] A184765 8.56964 [-8*(48*x^2-13*x-8)/(24*x^3-8*x^2-5*x+1) ogf] A184766 2.66639 [-(44562084727204427*f(x)+7932168652692581200)*(1800*f(x)*x^4-792*f(x)*x^3-19*f(x)*x^2+115200*x^3+20*f(x)*x-48888*x^2-f(x)-208*x+424) ogf] A184766 5.36027 [-8*(14400*x^3-6111*x^2-26*x+53)/(1800*x^4-792*x^3-19*x^2+20*x-1) ogf] A184877 3.72364 [{(n^3+8*n^2+21*n+18)*a(n+1)+(n^3+12*n^2+48*n+64)*a(n+2)+(-2-n)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=9} ogf] A184878 35.4327 [-8*(288+61*x+x^2)/(x-1)/(x^2+54*x+225) lgdogf] A184878 9.41566 [x^4*(x^2+54*x+225)/(x-1)^10 ogf] A184880 11.0975 [-(x^2+x-1)/(4*x^3+3*x^2-x-1)/(4*x^3-5*x^2+3*x-1) ogf] A184880 9.92891 [-(1+40*x^3+25*x^4-142*x^5+56*x^6+64*x^7-17*x^2)/(x^2+x-1)/(4*x^3+3*x^2-x-1)/(4*x^3-5*x^2+3*x-1) lgdogf] A184881 10.0551 [-f(x)^2*x+8*f(x)*x+16*x^2+f(x)-4*x-1 ogf] A184881 10.2014 [1/2*(8*(4*x+1)^(1/2)*x-(4*x+1)^(1/2)+1+16*x^2)/x/(16*x^2-1-4*x) lgdogf] A184881 4.03307 [{(32*n^2-16*n)*a(n)+(4*n^2+6*n-4)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=-3} ogf] A184882 22.3767 [-(-7-18*x+x^2)/(x-1)/(x^2-10*x+1) lgdogf] A184882 5.19655 [-(41*f(x)+234)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-10*x+1) ogf] A184882 5.47248 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=-7,a(2)=-23} ogf] A184882 9.97403 [-(x^2-10*x+1)/(x-1)^3 ogf] A184884 12.2398 [-(-1-2*x+4*x^3-3*x^4-2*x^5+3*x^6-7*x^2)/(x-1)/(x+1)/(x^5-x^4+2*x^3+2*x^2+x-1) lgdogf] A184884 13.1068 [(x-1)*(x+1)/(x^5-x^4+2*x^3+2*x^2+x-1) ogf] A184887 3.31313 [{(-2048*n^2-5120*n-3192)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=120} ogf] A184888 2.90272 [{(2048*n^3+9216*n^2+13792*n+6864)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=240} ogf] A184889 3.39734 [{(-500*n^2-1250*n-780)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=30} ogf] A184890 3.00191 [{(500*n^3+2250*n^2+3370*n+1680)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=60} ogf] A184891 3.37792 [{(-500*n^2-1250*n-770)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=20} ogf] A184892 2.95187 [{(500*n^3+2250*n^2+3330*n+1620)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=40} ogf] A184895 3.88028 [{(-1372*n^2-3430*n-2100)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=42} ogf] A184896 3.36291 [{(1372*n^3+6174*n^2+9086*n+4368)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=84} ogf] A184897 3.24638 [{(-2048*n^2-5120*n-3128)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=56} ogf] A184898 2.85539 [{(2048*n^3+9216*n^2+13536*n+6480)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=112} ogf] A184902 26.3994 [-(-1-x+(1+3*x)^(1/2))/(-1+x) revogf] A184902 41.0658 [-(5+x)/(x+2)/(x-1) lgdogf] A184937 4.64068 [-4*f(x)^2*x^2+f(x)^2*x+4*f(x)*x^2-5*f(x)*x-x^2+f(x)-3 ogf] A184947 16.2845 [I*(I+I*ln(x-1)*x-I*ln(x-1)+Pi*x-Pi)/(x-1) lgdegf] A184959 17.0607 [(x-10)/(x^2+x-1) ogf] A184959 24.8534 [-(-9-20*x+x^2)/(x-10)/(x^2+x-1) lgdogf] A184959 8.43861 [-(29*f(x)-209)*(f(x)*x^2+f(x)*x-f(x)-x+10) ogf] A184959 9.45531 [{-a(n+2)+a(n+1)+a(n),a(0)=10,a(1)=9} ogf] A184969 7.56121 [-(x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A184985 15.1306 [-x*(x^2-x-1)/(x-1)^2 ogf] A184985 36.9435 [-(x-3)/(x-1)/(-1-x+x^2) lgdogf] A184985 7.63227 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=3,a(3)=4} ogf] A184985 9.69039 [f(x)*(f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-x) ogf] A185000 12.5385 [-(1099*x^4+11100*x^3+1101*x^2+111*x+11)/(x-1)/(x+1)/(x^2+1) ogf] A185000 6.88736 [(164783860508073268*f(x)+8951018937690004837279)*(f(x)*x^4+1099*x^4+11100*x^3+1101*x^2-f(x)+111*x+11) ogf] A185000 8.29618 [-3*(37+734*x+734*x^5+3700*x^6+11100*x^2+1480*x^3+111*x^4)/(x-1)/(x+1)/(1099*x^4+11100*x^3+1101*x^2+111*x+11)/(x^2+1) lgdogf] A185010 4.15517 [{(-48*n^2-192*n-180)*a(n+1)+(-8*n^2-44*n-60)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=2,a(2)=14} ogf] A185012 14.8478 [x^2-f(x) ogf] A185012 6.26394 [{-a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A185013 14.8478 [x^3-f(x) ogf] A185013 5.34523 [{-a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A185014 14.8478 [x^4-f(x) ogf] A185014 4.66153 [{-a(n+5),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A185015 14.8478 [x^5-f(x) ogf] A185016 14.8478 [x^6-f(x) ogf] A185017 18.1573 [x^7-f(x) ogf] A185019 14.0248 [-x*(17*x+11)/(x-1)^3 ogf] A185019 29.1493 [-2*(25+17*x)/(17*x+11)/(x-1) lgdogf] A185019 6.78249 [(3094448*f(x)-28242279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)+11*x) ogf] A185019 7.32269 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=50} ogf] A185020 4.02004 [{(32*n^2+128*n+120)*a(n+1)+(8*n^2+44*n+60)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=2,a(2)=12} ogf] A185039 10.1320 [-x*(5*x^2+8*x+5)/(x+1)^2/(x-1)^3 ogf] A185039 16.1816 [-(13+43*x+15*x^3+37*x^2)/(x-1)/(x+1)/(5*x^2+8*x+5) lgdogf] A185047 11.3478 [-1/2*(-1-12*x-9*x^2+(-(x+1)*(3*x-1)^3)^(1/2))/(3*x+2)^3 revogf] A185047 5.84999 [27*x^4*f(x)^3+54*f(x)^2*x^3-9*f(x)^2*x^2+36*f(x)*x^2-12*f(x)*x+f(x)+8*x-1 ogf] A185047 6.06005 [{(-9*n-21)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A185048 8.05192 [(x^7+x^6-x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A185049 11.0413 [(x^2+x+1)*(x^6-x^5-3*x^4-5*x^2-3*x-1)/(x-1)/(x+1)/(x^5+x^4+3*x^3+2*x^2+x+1)/(1+x^2) lgdogf] A185049 12.8062 [-(x^5+x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A185055 17.3529 [-2*x^2/(5*x-1)/(x-1)^2 ogf] A185055 7.19130 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A185055 9.73456 [5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+2*x^2-f(x) ogf] A185057 7.58392 [(4+8*x+5*x^4-2*x^5-9*x^6+2*x^7+3*x^2+6*x^11+3*x^10)/(x-1)/(x+1)/(1+x+x^3+x^4+x^2)/(3*x^6-x^2-3*x-1) lgdogf] A185057 9.00069 [x*(x+1)*(3*x^6-x^2-3*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A185058 8.36264 [x*(3*x^8-x^5-x^4-x^3-x^2-4*x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A185059 8.64571 [-(x^6-x^5+x^4+x-1)/(-x^7+1) ogf_with_Euler_transform] A185061 10.5401 [(2+8*x+11*x^3-2*x^5-x^6+x^7-7*x^2)/(x-1)/(x+1)/(x^6-x^5-3*x^4+4*x^3-x^2-x-1) lgdogf] A185061 7.49675 [(x^6-x^5-3*x^4+4*x^3-x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A185065 13.6293 [-2*(-10-27*x+x^3-24*x^2)/(x-1)/(x^3-17*x^2-5*x-3) lgdogf] A185065 3.60810 [{(121*n^2+635*n+786)*a(n+1)+(-116*n^2-44*n+552)*a(n+2)+(-5*n^2-87*n-154)*a(n+3),a(0)=0,a(1)=3,a(2)=20} ogf] A185065 7.37308 [x*(x^3-17*x^2-5*x-3)/(x-1)^5 ogf] A185080 3.87580 [{(-44*n^2-198*n-220)*a(n+1)+(347*n^2+2575*n+4734)*a(n+2)+(-84*n^2-672*n-1260)*a(n+3),a(0)=7,a(1)=27,a(2)=100} ogf] A185080 7.52133 [4*f(x)^2*x^3-f(x)^2*x^2+4*f(x)*x^2+23*f(x)*x-6*f(x)+x+42 ogf] A185087 10.0076 [-(2-x+2*(x-1)^(1/2)*(4*x^2+x-1)^(1/2))/(x-1)^(1/2)/x/(4*x^2+x-1)^(1/2) lgdogf] A185087 3.58930 [{(-4*n-14)*a(n+1)+(3*n+15)*a(n+2)+(2*n+13)*a(n+3)+(-n-8)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A185087 9.27623 [f(x)^2*x^4+2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A185089 7.8801 [2*f(x)^2*x^3-2*f(x)^2*x^2+f(x)*x^2-f(x)*x+f(x)-1 ogf] A185096 12.6347 [-12*x*(x+3)*(3*x+1)/(x-1)^5 ogf] A185096 30.2243 [-(25+46*x+9*x^2)/(x-1)/(x+3)/(3*x+1) lgdogf] A185096 5.41488 [{(9+3*n)*a(n+4)+(-11+7*n)*a(n+3)+(-53-7*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=36,a(2)=300,a(3)=1176} ogf] A185098 5.11953 [-(8*x^6-36*x^5+22*x^4+67*x^3-82*x^2-20*x+23)/(2*x+1)/(2*x-1)/(4*x-1)/(x-1)^3 ogf] A185108 4.41476 [{(n+4)*a(n+1)+(-n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A185114 17.8018 [-x^4-f(x)*x+f(x)+x-1 ogf] A185114 20.9665 [-(x^4-x+1)/(x-1) ogf] A185114 33.5310 [x^3*(-4+3*x)/(x-1)/(x^4-x+1) lgdogf] A185114 8.98566 [{-a(n+5)+a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A185115 17.7145 [-x^5-f(x)*x+f(x)+x-1 ogf] A185115 20.8638 [-(x^5-x+1)/(x-1) ogf] A185115 33.5310 [x^4*(-5+4*x)/(x-1)/(x^5-x+1) lgdogf] A185115 8.09370 [{-a(n+6)+a(n+5),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A185116 17.6273 [-x^6-f(x)*x+f(x)+x-1 ogf] A185116 20.7610 [-(x^6-x+1)/(x-1) ogf] A185116 33.5310 [x^5*(-6+5*x)/(x-1)/(x^6-x+1) lgdogf] A185116 7.35625 [{-a(n+7)+a(n+6),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=1} ogf] A185117 20.6582 [-(x^7-x+1)/(x-1) ogf] A185117 33.5310 [x^6*(-7+6*x)/(x-1)/(x^7-x+1) lgdogf] A185117 7.15092 [{a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=1} ogf] A185118 19.5598 [x^7*(-8+7*x)/(x-1)/(x^2-x+1)/(x^6+x^5-x^3-x^2+1) lgdogf] A185118 20.5554 [-(x^2-x+1)*(x^6+x^5-x^3-x^2+1)/(x-1) ogf] A185118 6.56024 [{-a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=1} ogf] A185119 20.4526 [-(x^9-x+1)/(x-1) ogf] A185119 33.5310 [x^8*(-9+8*x)/(x-1)/(x^9-x+1) lgdogf] A185119 6.05506 [{-a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=0,a(9)=1} ogf] A185123 13.8809 [(70*x+11)/(10*x-1)/(x-1) ogf] A185123 14.5302 [-(-191+220*x+700*x^2)/(70*x+11)/(x-1)/(10*x-1) lgdogf] A185123 7.08506 [(1881*f(x)+15790)*(10*f(x)*x^2-11*f(x)*x+f(x)-70*x-11) ogf] A185123 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=191} ogf] A185127 13.8809 [(10*x+11)/(10*x-1)/(x-1) ogf] A185127 14.5302 [-(-131+220*x+100*x^2)/(10*x+11)/(x-1)/(10*x-1) lgdogf] A185127 7.15964 [(1221*f(x)+3730)*(10*f(x)*x^2-11*f(x)*x+f(x)-10*x-11) ogf] A185127 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=131} ogf] A185132 3.47259 [{(12*n+24)*a(n+1)+(40*n+68)*a(n+2)+(-31*n-107)*a(n+3)+(4*n+20)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=4} ogf] A185132 30.2295 [-x*(-1+4*x)/(1-4*x+x^2) revogf] A185132 9.15498 [-f(x)^2*x^2-4*f(x)^2*x+4*f(x)*x+f(x)-1 ogf] A185138 5.73567 [-x^2*(3*x^8+x^7+5*x^6+3*x^5+12*x^4+3*x^3+3*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A185151 39.4102 [-1-x^2+exp(x) revegf] A185152 99.9999 Evaluated at exp(-Pi) 1/8*exp(Pi)/GAMMA(3/4)^4 A185170 8.91637 [-(3*x^6-x^5+2*x^4-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A185175 8.07720 [-(x^6+x^5-x^3-x^2+1)/(-x^7+1) ogf_with_Euler_transform] A185190 46.3259 [-arcsinh(x)^2+x revegf] A185212 13.0429 [-(21*x^2+2*x+1)/(x-1)^3 ogf] A185212 6.79545 [(4752*f(x)-35545)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+2*x+1) ogf] A185212 7.15627 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=33} ogf] A185220 9.61392 [-(-3*x^4-2*x^2-x-3)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A185247 5.27638 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-n^3-14*n^2-59*n-70)*a(n+2),a(0)=1,a(1)=1} ogf] A185248 4.33654 [{(64*n^3+480*n^2+1136*n+840)*a(n+1)+(-n^3-12*n^2-44*n-48)*a(n+2),a(0)=1,a(1)=8} ogf] A185265 10.8183 [-(2+x^8+2*x+10*x^3+6*x^4-4*x^5-2*x^6+2*x^7+4*x^2)/(x+1)/(x^4+x^3+1)/(x^5+x^4+x^2+x-1) lgdogf] A185265 10.9907 [-(x+1)*(x^4+x^3+1)/(x^5+x^4+x^2+x-1) ogf] A185270 5.12380 [-648*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A185273 11.0331 [-(x^4+6*x^3+5*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A185276 10.6216 [(x^2+x+1)*(x^2-x+1)*(x-1)^2*(x+1)^2/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A185284 9.21523 [a(n+2)-27*a(n),a(0)=0,a(1)=2 lgdogf] A185292 16.0831 [-4*(1+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A185292 25.5811 [4*x^2-4*x+4 ogf_with_Euler_transform] A185292 6.56455 [x^4*(x+1)^4/(x-1)^4/(x^2+x+1)^4 ogf] A185295 8.14451 [-(x^6-x^4+x^3+x^2-x)/(-x^7+1) ogf_with_Euler_transform] A185298 11.2682 [-n*a(n)+(-2*n-3+n^2)*a(n+1)+(6*n+4+2*n^2)*a(n+2),a(0)=2,a(1)=2 lgdegf] A185308 4.71033 [{(-n-3)*a(n+1)+(n+3)*a(n+2)-a(n+4)+2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A185309 4.81318 [{(n+4)*a(n+1)+(-n-4)*a(n+2)+a(n+4)-2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A185325 28.6604 [-x^4/(x-1) ogf_with_Euler_transform] A185326 29.2877 [-x^5/(x-1) ogf_with_Euler_transform] A185327 29.2207 [-x^6/(x-1) ogf_with_Euler_transform] A185328 28.9979 [-x^7/(x-1) ogf_with_Euler_transform] A185329 29.7395 [-x^8/(x-1) ogf_with_Euler_transform] A185335 3.21098 [(f(x)-1)^2*(x^5+2*f(x)*x-f(x)-2*x+1) ogf] A185336 8.64335 [-(f(x)-1)^3 ogf] A185338 6.67227 [-(-2*x^8-x^7-x-2)/(x^10-x^8+x^2-1) ogf_with_Euler_transform] A185344 11.482 [-(f(x)-1)^3 ogf] A185346 17.0952 [(17*x-8)/(2*x-1)/(x-1) ogf] A185346 8.45568 [-(11*f(x)+137)*(2*f(x)*x^2-3*f(x)*x+f(x)-17*x+8) ogf] A185346 9.58998 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-8,a(1)=-7} ogf] A185355 4.21195 [{(n+3)*a(n+4)+6*n*a(n+3)+(-37-5*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=12,a(3)=52} ogf] A185355 9.64181 [-x*(2*x^2+7*x+1)/(x-1)^5 ogf] A185357 17.3456 [-1/(x^20-x^18+x^2+x-1) ogf] A185364 7.43228 [(f(x)-1)^2 ogf] A185369 27.8356 [-1/2*x*(-2+x)/(x-1)^2 lgdegf] A185375 3.34860 [{(-72*n^2-324*n-360)*a(n+1)+(74*n^2-93*n+91)*a(n+2)+(-2*n^2-3*n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A185375 4.78371 [-x^2*(9*x^4+196*x^3+350*x^2+84*x+1)/(x-1)^7 ogf] A185375 8.16757 [-(91+1204*x+820*x^3+27*x^4+2338*x^2)/(x-1)/(9*x^4+196*x^3+350*x^2+84*x+1) lgdogf] A185392 5.55179 [(x^12+x^10+x^9-2*x^8+x^7+x^6-x^5-x^4+2*x^3-x^2+2)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A185394 6.98954 [x*(88*x^5+17*x^4+88*x^3-376*x^2-51*x-152)/(x-1)/(x^6-6*x^3+1) ogf] A185395 15.4700 [-3*(1+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A185395 24.7757 [3*x^2-3*x+3 ogf_with_Euler_transform] A185395 7.68754 [-x^3*(x+1)^3/(x-1)^3/(x^2+x+1)^3 ogf] A185401 3.13572 [{(-1372*n^2-3430*n-2128)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=70} ogf] A185402 2.73138 [{(1372*n^3+6174*n^2+9198*n+4536)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=140} ogf] A185403 3.13572 [{(-1372*n^2-3430*n-2142)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=84} ogf] A185404 2.74726 [{(1372*n^3+6174*n^2+9254*n+4620)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=168} ogf] A185405 4.89622 [-(42*x^4+29*x^3+16*x^2-2*x-1)/(216*x^5+144*x^4+72*x^3-23*x^2-11*x+1) ogf] A185437 14.0903 [(x^2+1)*(x^3-x-1)/(x-1) ogf] A185437 15.1898 [(2+2*x+4*x^5-5*x^4-x^2)/(-1+x)/(1+x^2)/(x^3-x-1) lgdogf] A185438 14.7980 [-(11*x^2+4*x+1)/(x-1)^3 ogf] A185438 24.3781 [-(7+30*x+11*x^2)/(x-1)/(11*x^2+4*x+1) lgdogf] A185438 7.70987 [(9824*f(x)-47675)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+4*x+1) ogf] A185438 8.11924 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=29} ogf] A185452 17.9592 [x*(2*x^2+x+3)/(x-1)^2/(x+1)^2 ogf] A185452 24.0525 [-(1+16*x+3*x^2+4*x^3)/(x-1)/(x+1)/(2*x^2+x+3) lgdogf] A185452 9.95915 [-(16224*f(x)-150361)*(f(x)*x^4-2*f(x)*x^2-2*x^3-x^2+f(x)-3*x) ogf] A185453 15.9506 [-(2*x^4+4*x^3+8*x^2+3*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A185453 9.78868 [-(3+16*x+2*x^8+24*x^6+12*x^5+5*x^4+8*x^3+8*x^7+12*x^2)/(x-1)/(x^4+x^3+x^2+x+1)/(2*x^4+4*x^3+8*x^2+3*x+1) lgdogf] A185454 11.3028 [-(21*x^7+52*x^6+104*x^5+208*x^4+83*x^3+33*x^2+13*x+5)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A185459 4.07774 [(153041*f(x)+177670)*(2*f(x)*x^4+3*f(x)*x^3+4*x^4+2*f(x)*x^2+10*x^3+f(x)*x+26*x^2-f(x)+18*x+16) ogf] A185459 6.61802 [-(2*x+1)*(2*x^5+21*x^4+28*x^3+44*x^2+24*x+17)/(2*x^4+5*x^3+13*x^2+9*x+8)/(2*x^4+3*x^3+2*x^2+x-1) lgdogf] A185459 7.28497 [-2*(2*x^4+5*x^3+13*x^2+9*x+8)/(2*x^4+3*x^3+2*x^2+x-1) ogf] A185460 4.24307 [-2*(2*x^9-18*x^8-7*x^7-29*x^6+18*x^5-29*x^4+38*x^3+35*x^2+46*x+17)/(3*x^8-x^6-8*x^5+4*x^4+4*x^3+5*x^2-1) ogf] A185461 3.55356 [-2*(32*x^11+112*x^10+194*x^9+316*x^8+357*x^7+393*x^6+300*x^5+297*x^4+139*x^3+101*x^2+28*x+46)/(2*x^6+4*x^5+2*x^4+3*x^3+2*x^2+2*x-1) ogf] A185479 5.96089 [-2*x*(2*x^5+4*x^4-2*x^3+12*x^2+7*x-15)/(2*x^6-3*x^4+5*x^3-x^2-3*x+1) ogf] A185489 4.20127 [-4*x*(96*x^6-60*x^5+90*x^4-32*x^3+5*x^2+9*x-6)/(2*x-1)/(32*x^7+8*x^6+16*x^5+16*x^4-4*x^3+5*x^2+x-1) ogf] A185505 19.1069 [-(x+1)*(x^2+5*x+1)/(x-1)^5 ogf] A185505 35.0197 [-(11+36*x+2*x^3+21*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A185505 9.28659 [{(-n^2-5*n-6)*a(n+1)+(2*n^2+12*n+38)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=11,a(2)=51} ogf] A185513 4.48785 [-(370820299*f(x)+5322415816)*(8*f(x)*x^3-3*f(x)*x^2-4*f(x)*x+72*x^2+f(x)-19*x-31) ogf] A185513 5.17828 [{-a(n+3)+4*a(n+2)+3*a(n+1)-8*a(n),a(0)=31,a(1)=143,a(2)=593} ogf] A185513 8.24558 [-(143+42*x+576*x^4-304*x^3-399*x^2)/(72*x^2-19*x-31)/(8*x^3-3*x^2-4*x+1) lgdogf] A185513 9.46655 [-(72*x^2-19*x-31)/(8*x^3-3*x^2-4*x+1) ogf] A185514 2.93871 [-(1159481984477557*f(x)+54664339848134352)*(224*f(x)*x^4-154*f(x)*x^3-11*f(x)*x^2+6048*x^3+12*f(x)*x-3934*x^2-f(x)-227*x+143) ogf] A185514 5.94060 [-(6048*x^3-3934*x^2-227*x+143)/(224*x^4-154*x^3-11*x^2+12*x-1) ogf] A185526 4.66003 [(2591*f(x)-197154)*(12*f(x)*x^3+2*f(x)*x^2+3*f(x)*x+504*x^2-f(x)+204*x+174) ogf] A185526 4.89302 [{a(n+3)-3*a(n+2)-2*a(n+1)-12*a(n),a(0)=174,a(1)=726,a(2)=3030} ogf] A185526 7.66907 [-(121+284*x+816*x^3+1008*x^4+860*x^2)/(84*x^2+34*x+29)/(12*x^3+2*x^2+3*x-1) lgdogf] A185526 8.63475 [-6*(84*x^2+34*x+29)/(12*x^3+2*x^2+3*x-1) ogf] A185535 5.54951 [-(30*x^4+19*x^3+8*x^2-2*x-1)/(125*x^5+75*x^4+25*x^3-19*x^2-9*x+1) ogf] A185552 5.48876 [-(2*x+1)*(24*x^7-4*x^6-22*x^5+21*x^4+16*x^3-x^2+12*x+5)/(x-1)/(6*x^3+7*x^2+3*x+1)/(8*x^5-8*x^3-7*x^2-3*x+1) lgdogf] A185552 7.05485 [-(x-1)*(6*x^3+7*x^2+3*x+1)/(8*x^5-8*x^3-7*x^2-3*x+1) ogf] A185561 10.7178 [-4*(3*x-4)/(45*x^2-57*x+1) ogf] A185561 12.5516 [-45*(x-1)*(3*x-5)/(3*x-4)/(45*x^2-57*x+1) lgdogf] A185561 5.41415 [(77836*f(x)+20249)*(45*f(x)*x^2-57*f(x)*x+f(x)+12*x-16) ogf] A185561 6.03647 [{-a(n+2)+57*a(n+1)-45*a(n),a(0)=16,a(1)=900} ogf] A185561 9.89648 [-1/6*(-16-57*x+(256+1776*x+3069*x^2)^(1/2))/(4+15*x) revogf] A185562 5.15292 [-4*(135*x^3-201*x^2+97*x-16)/(2025*x^4-2835*x^3+1371*x^2-217*x+1) ogf] A185590 7.27514 [-(66*x^11+99*x^10+74*x^9+111*x^8+83*x^7+62*x^6+93*x^5+70*x^4+105*x^3+79*x^2+59*x+44)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A185594 7.08490 [(x^9-3*x^8-2*x^7-3*x^6-3*x^5-3*x^4-3*x^3-3*x^2-4*x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A185619 11.5880 [-(1+5*x^4+2*x^5+22*x^2)/(x^2+4*x-1)/(x^4-x^3+5*x^2+x+1) lgdogf] A185647 12.3976 [(2*x+1)*(2*x^2+1)/(x-1)/(x+1)/(2*x^2-1) ogf] A185647 7.46153 [-(47*f(x)-153)*(2*f(x)*x^4-3*f(x)*x^2-4*x^3-2*x^2+f(x)-2*x-1) ogf] A185653 17.5757 [-(-6*x-9)/(x^2-1) ogf_with_Euler_transform] A185653 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/8*Pi)*Pi^(3/2)*2^(1/8)/GAMMA(3/4)^6 A185654 14.4038 [-(-3*x^2-4*x-4)/(x^3-1) ogf_with_Euler_transform] A185669 17.0805 [-(3*x^2+3*x+2)/(x-1)^3 ogf] A185669 30.1728 [-3*(x+3)*(x+1)/(x-1)/(3*x^2+3*x+2) lgdogf] A185669 8.90518 [(3776*f(x)-9847)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+3*x+2) ogf] A185669 9.22044 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=9,a(2)=24} ogf] A185691 15.6060 [-(11*x+10)/(x^2+x-1) ogf] A185691 19.4426 [-(21+20*x+11*x^2)/(11*x+10)/(x^2+x-1) lgdogf] A185691 8.24138 [(41*f(x)+31)*(f(x)*x^2+f(x)*x-f(x)+11*x+10) ogf] A185691 8.73194 [{a(n+2)-a(n+1)-a(n),a(0)=10,a(1)=21} ogf] A185706 11.0674 [x^9/(-x^50+x^40-x^30+x^20+1) ogf_with_Euler_transform] A185708 9.00414 [-(-2*x^39-x^9)/(x^40+x^30+x^10+1) ogf_with_Euler_transform] A185717 9.26635 [-(-4*x^4-x^3-x^2-3*x-3)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A185727 8.15930 [x*(x^10+x^9+4*x^8+2*x^7+7*x^6+x^5+8*x^4+2*x^3+5*x^2+x+2)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A185742 4.32185 [-(11*f(x)+632)*(8*f(x)*x^4-2*f(x)*x^3-f(x)*x^2+48*x^3+3*f(x)*x-32*x^2-f(x)+24*x) ogf] A185742 8.00485 [-(5+6*x-32*x^2+112*x^3-108*x^4+96*x^5)/(6*x^2-4*x+3)/(8*x^4-2*x^3-x^2+3*x-1) lgdogf] A185742 8.13191 [-8*x*(6*x^2-4*x+3)/(8*x^4-2*x^3-x^2+3*x-1) ogf] A185761 14.3495 [-8*(3*x+2)/(4*x^2+x-1) ogf] A185761 15.7475 [1/8*(-16-x+(256+128*x+17*x^2)^(1/2))/(6+x) revogf] A185761 18.3721 [-(6*x+5)*(2*x+1)/(3*x+2)/(4*x^2+x-1) lgdogf] A185761 7.33072 [(269*f(x)-1804)*(4*f(x)*x^2+f(x)*x-f(x)+24*x+16) ogf] A185761 8.02889 [{-a(n+2)+a(n+1)+4*a(n),a(0)=16,a(1)=40} ogf] A185762 10.5935 [-8*(x^2+10*x+5)/(x^3+6*x^2+x-1) ogf] A185762 11.4856 [-(15+62*x+20*x^3+x^4+74*x^2)/(x^2+10*x+5)/(x^3+6*x^2+x-1) lgdogf] A185762 5.70419 [{a(n+3)-a(n+2)-6*a(n+1)-a(n),a(0)=40,a(1)=120,a(2)=368} ogf] A185762 5.8034 [(7*f(x)-144)*(f(x)*x^3+6*f(x)*x^2+f(x)*x+8*x^2-f(x)+80*x+40) ogf] A185763 5.69402 [(46+260*x+2*x^8-26*x^7+89*x^6-4*x^5-296*x^4-2*x^3+399*x^2)/(x^5-5*x^4+3*x^3+10*x^2+x-1)/(x^5-7*x^4+16*x^3-33*x-13) lgdogf] A185763 6.54934 [8*(x^5-7*x^4+16*x^3-33*x-13)/(x^5-5*x^4+3*x^3+10*x^2+x-1) ogf] A185764 3.52967 [8*(18*x^8+81*x^7+43*x^6+5*x^5-69*x^4-249*x^3-43*x^2+108*x+33)/(6*x^7-x^6+x^5+22*x^4-9*x^3-17*x^2-x+1) ogf] A185771 3.32032 [-(155520*x^8+177120*x^7+25200*x^6-21720*x^5-11880*x^4-7476*x^3-2170*x^2-315*x-81)/(24*x^3+24*x^2+3*x-1)/(576*x^6-72*x^4-24*x^2-1) ogf] A185787 15.5346 [(3*x^2+3*x+1)/(x-1)^4 ogf] A185787 30.1784 [-(7+15*x+6*x^2)/(x-1)/(3*x^2+3*x+1) lgdogf] A185787 5.85732 [{(-n-4)*a(n+4)+(1-2*n)*a(n+3)+15*a(n+2)+(9+3*n)*a(n+1),a(0)=1,a(1)=7,a(2)=25,a(3)=62} ogf] A185787 7.60209 [(1572998*f(x)+4483567)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A185788 14.4692 [x*(x^2+4*x+2)/(x-1)^4 ogf] A185788 32.6409 [-2*(x+6)*(x+1)/(x-1)/(x^2+4*x+2) lgdogf] A185788 5.33460 [{(6+2*n)*a(n+4)+(-8+2*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=12,a(3)=37} ogf] A185788 7.0889 [-(2536828*f(x)+4873905)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-4*x^2+f(x)-2*x) ogf] A185790 4.97161 [-(1883*f(x)-11328)*(16*f(x)*x^4+4*f(x)*x^3+96*x^3+f(x)*x+60*x^2-f(x)+24*x+16) ogf] A185790 5.12343 [{a(n+4)-a(n+3)-4*a(n+1)-16*a(n),a(0)=16,a(1)=40,a(2)=100,a(3)=260} ogf] A185790 7.00145 [-(10+30*x+384*x^6+480*x^5+105*x^2+256*x^3+348*x^4)/(24*x^3+15*x^2+6*x+4)/(4*x^2+x-1)/(4*x^2+1) lgdogf] A185790 9.06985 [-4*(24*x^3+15*x^2+6*x+4)/(4*x^2+1)/(4*x^2+x-1) ogf] A185791 5.91071 [-4*(3+8*x-160*x^7+128*x^8-32*x^5+8*x^6+38*x^3-2*x^4+17*x^2)/(32*x^4-20*x^3-6*x^2-7*x-5)/(16*x^5-16*x^4-2*x^2-x+1) lgdogf] A185791 7.24407 [-8*(32*x^4-20*x^3-6*x^2-7*x-5)/(16*x^5-16*x^4-2*x^2-x+1) ogf] A185799 3.48426 [-64*x*(1008*x^6-1536*x^5+1730*x^4-934*x^3+375*x^2-76*x+11)/(3456*x^8-4944*x^7+5260*x^6-2466*x^5+799*x^4-54*x^3-21*x^2+10*x-1) ogf] A185818 7.02332 [-(20*x^4+11*x^3+2*x^2-2*x-1)/(64*x^5+32*x^4-15*x^2-7*x+1) ogf] A185828 4.69229 [-(8520*f(x)+1477)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x-3*x^2+f(x)-x-1) ogf] A185828 8.67226 [-(3+8*x-5*x^2+5*x^4+8*x^3-6*x^5+2*x^6)/(x^2+x+1)/(x^2-3*x+1)/(2*x^3-3*x^2-x-1) lgdogf] A185828 8.95799 [-(2*x^3-3*x^2-x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A185837 4.57747 [-9*x*(180*x^4-210*x^3+205*x^2-69*x+19)/(144*x^6-144*x^5+120*x^4-15*x^3-6*x^2+6*x-1) ogf] A185848 3.33887 [-(3024*x^7+4068*x^6-2586*x^5-5490*x^4-3255*x^3-1432*x^2-387*x-81)/(288*x^8+336*x^7-324*x^6-510*x^5-252*x^4-99*x^3-20*x^2-3*x+1) ogf] A185858 12.5155 [-2*(3*x+2)/(9*x^2+4*x-1) ogf] A185858 13.1242 [1/3*(-2-2*x+(4+14*x+13*x^2)^(1/2))/(2+3*x) revogf] A185858 14.1337 [-(11+36*x+27*x^2)/(3*x+2)/(9*x^2+4*x-1) lgdogf] A185858 6.18899 [-(40*f(x)-39)*(9*f(x)*x^2+4*f(x)*x-f(x)+6*x+4) ogf] A185858 6.78551 [{-a(n+2)+4*a(n+1)+9*a(n),a(0)=4,a(1)=22} ogf] A185859 6.00435 [-2*(12*x^4-42*x^3+52*x^2-16*x-11)/(6*x^5-24*x^4+36*x^3-17*x^2-6*x+1) ogf] A185883 3.01251 [(827565101*f(x)-1982688491)*(756*f(x)*x^4+846*f(x)*x^3+221*f(x)*x^2+882*x^3+10*f(x)*x+1053*x^2-f(x)+318*x+27) ogf] A185883 5.53384 [-3*(294*x^3+351*x^2+106*x+9)/(756*x^4+846*x^3+221*x^2+10*x-1) ogf] A185899 5.06709 [-(56*x^4+41*x^3+26*x^2-2*x-1)/(343*x^5+245*x^4+147*x^3-27*x^2-13*x+1) ogf] A185906 12.1219 [-x^4+x^2+x-1+f(x) ogf] A185906 30.6870 [(-1-2*x+4*x^3)/(x-1)/(x^3+x^2-1) lgdogf] A185906 6.13228 [{a(n+5),a(0)=1,a(1)=-1,a(2)=-1,a(3)=0,a(4)=1} ogf] A185918 14.2814 [-(x+1)*(13*x-1)/(x-1)^3 ogf] A185918 24.0066 [-(9+50*x+13*x^2)/(x-1)/(13*x-1)/(x+1) lgdogf] A185918 7.37484 [(54648*f(x)-452717)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+12*x-1) ogf] A185918 7.96221 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=9,a(2)=43} ogf] A185925 2.99048 [(13097*f(x)-2922816)*(144*f(x)*x^4+206*f(x)*x^3+81*f(x)*x^2+2688*x^3+6*f(x)*x+4096*x^2-f(x)+1856*x+256) ogf] A185925 5.24139 [-64*(42*x^3+64*x^2+29*x+4)/(144*x^4+206*x^3+81*x^2+6*x-1) ogf] A185939 16.7231 [-2*(13+13*x+x^2)/(x+5)/(x-1)/(1+2*x) lgdogf] A185939 5.26808 [(124*f(x)-1127)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+11*x+5) ogf] A185939 5.40671 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=26,a(2)=65} ogf] A185939 9.94137 [-(x+5)*(2*x+1)/(x-1)^3 ogf] A185940 10.1265 [-(37-216*x+144*x^4-420*x^3+457*x^2)/(x-1)/(3*x-1)/(2*x-1)/(24*x^2-35*x+12) lgdogf] A185940 11.7292 [-2*(24*x^2-35*x+12)/(x-1)/(3*x-1)/(2*x-1) ogf] A185940 6.24914 [(9187*f(x)+62376)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+48*x^2-f(x)-70*x+24) ogf] A185940 6.51620 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=24,a(1)=74,a(2)=228} ogf] A185950 16.9490 [-(4*x^2+5*x-1)/(x-1)^3 ogf] A185950 28.3853 [-2*(1+9*x+2*x^2)/(x-1)/(4*x^2+5*x-1) lgdogf] A185950 8.68817 [(21184*f(x)-63131)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+5*x-1) ogf] A185950 9.14947 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=2,a(2)=13} ogf] A185963 11.8528 [-(x-1)^2/(x^3-3*x^2+2*x-1) ogf] A185963 20.1470 [-x*(4+x^2-3*x)/(-1+x)/(x^3-3*x^2+2*x-1) lgdogf] A185963 6.45554 [(65*f(x)-1)*(f(x)*x^3-3*f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+1) ogf] A185963 6.51369 [{a(n+3)-2*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A185964 13.8498 [-(1-x+2*x^4-6*x^3+6*x^2)/(-1+x)/(x^4-2*x^3+x-1) lgdogf] A185964 4.94541 [-(149*f(x)+2)*(f(x)*x^4-2*f(x)*x^3+f(x)*x+x^2-f(x)-2*x+1) ogf] A185964 9.48544 [-(x-1)^2/(x^4-2*x^3+x-1) ogf] A185965 6.01147 [-4*f(x)^3*x^3+20*f(x)^3*x^2+4*f(x)^2*x^3+4*f(x)^3*x-20*f(x)^2*x^2+3*f(x)^3-4*f(x)^2*x-3*f(x)^2+8*f(x)*x+f(x)-1 ogf] A185966 10.4533 [f(x)^3*x^2-f(x)^2*x^2-f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A185966 40.1534 [x*(1-x+x^2)/(x-1)^2 revogf] A185985 4.12817 [-(729493*f(x)-437298)*(27*f(x)*x^4-12*f(x)*x^3+7*f(x)*x^2+18*x^3+4*f(x)*x-12*x^2-f(x)+10*x) ogf] A185985 7.53912 [-2*(9*x+1)*(27*x^4-36*x^3+42*x^2-19*x+7)/(9*x^2-6*x+5)/(27*x^4-12*x^3+7*x^2+4*x-1) lgdogf] A185985 8.04463 [-2*x*(9*x^2-6*x+5)/(27*x^4-12*x^3+7*x^2+4*x-1) ogf] A186011 4.39122 [-2*(5400*x^4+7272*x^3+2718*x^2+367*x+16)/(19440*x^5+25452*x^4+9060*x^3+1101*x^2+32*x-1) ogf] A186025 12.0550 [-x*(2+x^3-4*x)/(x-1)/(x^2-3*x+1)/(x^3-3*x^2+4*x-1) lgdogf] A186025 5.16662 [{-a(n+4)+4*a(n+3)-4*a(n+2)+a(n+1),a(0)=1,a(1)=0,a(2)=-1,a(3)=-4} ogf] A186025 5.88545 [-f(x)*(f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A186025 9.80909 [(x^3-3*x^2+4*x-1)/(x-1)/(x^2-3*x+1) ogf] A186029 14.3199 [-x*(2*x+5)/(x-1)^3 ogf] A186029 34.9861 [-(17+4*x)/(2*x+5)/(x-1) lgdogf] A186029 7.15992 [(8869*f(x)-25506)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+5*x) ogf] A186029 7.28779 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=17} ogf] A186030 13.1972 [-x*(8*x+5)/(x-1)^3 ogf] A186030 30.8732 [-(23+16*x)/(8*x+5)/(x-1) lgdogf] A186030 6.48483 [(71149*f(x)-300699)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+5*x) ogf] A186030 6.71643 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=23} ogf] A186044 4.38072 [-2*(2304*x^5+1056*x^4+1412*x^3-368*x^2-174*x-169)/(72*x^6+24*x^5+40*x^4-18*x^3-4*x^2-5*x+1) ogf] A186055 4.73859 [-3*(22*x^6-25*x^5+13*x^4-15*x^3+57*x^2+31*x+29)/(2*x^7-3*x^6+2*x^5-2*x^4+6*x^3+x^2+2*x-1) ogf] A186069 9.44805 [(f(x)-2)^4 lgdogf] A186070 5.82243 [(f(x)-1)^4 lgdegf] A186101 11.7013 [x*(x^2+1)*(x+1)^2/(x-1)^2/(x^2+x+1)^2 ogf] A186101 14.8021 [-2*(1+x+5*x^2+x^5+2*x^3+2*x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A186101 27.2152 [-x^3+2*x^2-x+2 ogf_with_Euler_transform] A186101 7.09446 [{(n+4)*a(n+1)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=2} ogf] A186111 13.8995 [-(-3-6*x-12*x^2+2*x^5-4*x^3-x^4)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A186111 25.7590 [2*x^3-x^2-3 ogf_with_Euler_transform] A186111 8.06352 [(x^2+x+1)*(x-1)^2/(x^2+1)^2/(x+1)^2 ogf] A186113 18.1751 [(7*x+6)/(x-1)^2 ogf] A186113 34.8695 [-(19+7*x)/(7*x+6)/(x-1) lgdogf] A186113 9.29409 [(26*f(x)+205)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-6) ogf] A186113 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=19} ogf] A186120 7.80113 [-2*x*(8*x^4-4*x^3+2*x^2+12*x-7)/(2*x-1)/(2*x^4-2*x^3+2*x^2+x-1) ogf] A186121 3.76160 [-2*(64*x^8+72*x^7+4*x^6-14*x^5-52*x^4-40*x^3+27*x^2+16*x-7)/(2*x-1)/(8*x^8+12*x^7+2*x^6-2*x^5-8*x^4-7*x^3+3*x^2+3*x-1) ogf] A186133 5.07497 [(382*f(x)-3447)*(24*f(x)*x^3+24*f(x)*x^2+3*f(x)*x+270*x^2-f(x)+315*x+81) ogf] A186133 5.20184 [{a(n+3)-3*a(n+2)-24*a(n+1)-24*a(n),a(0)=81,a(1)=558,a(2)=3888} ogf] A186133 8.16591 [-2*(3*x+1)*(120*x^3+240*x^2+153*x+31)/(30*x^2+35*x+9)/(24*x^3+24*x^2+3*x-1) lgdogf] A186133 9.17972 [-9*(30*x^2+35*x+9)/(24*x^3+24*x^2+3*x-1) ogf] A186143 2.50726 [(f(x)*x-f(x)+1)^2 ogf] A186161 5.92905 [-(12*x^4+5*x^3-2*x^2-2*x-1)/(27*x^5+9*x^4-9*x^3-11*x^2-5*x+1) ogf] A186181 10.326 [-(10*f(x)+9)*(f(x)*x^4+x^4+2*x^3+3*x^2-f(x)+2*x+1) ogf] A186181 15.2507 [-(x^2+x+1)^2/(x-1)/(x+1)/(x^2+1) ogf] A186181 19.4536 [-2*(1+2*x+x^4+2*x^3)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A186181 34.1122 [x^3-2*x^2+2 ogf_with_Euler_transform] A186185 3.43449 [-3*f(x)^3*x^2+3*f(x)^3*x+4*f(x)^2*x^2-f(x)^3-7*f(x)^2*x-3*f(x)*x^2+3*f(x)^2+6*f(x)*x+x^2-3*f(x)-2*x+1 ogf] A186187 11.0532 [-2*(1-2*x+6*x^2+x^8-2*x^7+6*x^6-6*x^5+6*x^4-6*x^3)/(x-1)/(x+1)/(1+x^2)/(x^2-x+1)/(1+x^4) lgdogf] A186187 24.1282 [x^7-2*x^5+2*x^2-2*x+2 ogf_with_Euler_transform] A186187 8.47259 [-(x^2-x+1)^2*(x+1)^3/(x-1)/(x^4+1)/(x^2+1) ogf] A186194 4.45787 [-(1021669*f(x)+79701)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-90*x^2-f(x)+2*x) ogf] A186194 4.78945 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=2,a(2)=132} ogf] A186194 8.52834 [-6*(-11+370*x-8825*x^2+15000*x^3)/(x-1)/(100*x-1)/(10*x-1)/(45*x-1) lgdogf] A186194 8.78065 [2*x*(45*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A186195 12.5137 [1/2*(x-1+(9*x^2+2*x+1)^(1/2))/(9*x^2+2*x+1)^(1/2)/x/(2*x+1) lgdogf] A186195 4.14517 [{18*a(n)*n+(13*n+6)*a(n+1)+(4*n+9)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=0} ogf] A186195 9.59635 [-2*f(x)^2*x-f(x)^2+5*f(x)*x+f(x)-2*x ogf] A186209 16.6573 [-12*x^10-12/(x-1) ogf_with_Euler_transform] A186229 6.65989 [{(-48*n^2-176*n-156)*a(n+1)+(3*n^2+13*n+12)*a(n+2),a(0)=1,a(1)=14} ogf] A186231 6.81393 [{(-32*n^2-128*n-126)*a(n+1)+(2*n^2+9*n+9)*a(n+2),a(0)=1,a(1)=15} ogf] A186235 11.9591 [-2*(9+48*x+30*x^2+23*x^3+2*x^4)/(x-1)/(x+1)/(x^3+9*x^2+8*x+10) lgdogf] A186235 7.41392 [(x^3+9*x^2+8*x+10)/(x+1)^3/(x-1)^4 ogf] A186239 30.6840 [x/(1+x+x^2+2*x^3) revogf] A186239 9.73696 [2*f(x)^3*x^3+f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A186240 10.213 [3*f(x)^3*x^3+f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A186240 14.8538 [x/(1+x+x^2+3*x^3) revogf] A186244 16.1427 [x^2/(3*x-1)/(2*x^2+2*x-1) ogf] A186244 18.4553 [-(-5+8*x+18*x^2)/(3*x-1)/(-1+2*x+2*x^2) lgdogf] A186244 6.60382 [{-a(n+3)+5*a(n+2)-4*a(n+1)-6*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A186244 6.78898 [-(4*f(x)-1)*(6*f(x)*x^3+4*f(x)*x^2-5*f(x)*x-x^2+f(x)) ogf] A186246 6.87489 [{(-4*n^2-14*n-12)*a(n+1)-a(n+2),a(0)=-1,a(1)=2} ogf] A186262 4.62934 [{(16*n^3+112*n^2+252*n+180)*a(n+1)+(-n^3-11*n^2-38*n-40)*a(n+2),a(0)=1,a(1)=2} ogf] A186264 5.50450 [{(16*n^2+80*n+100)*a(n+1)+(-n^2-9*n-20)*a(n+2),a(0)=1,a(1)=3} ogf] A186264 6.68021 [-3/4*hypergeom([5/2,5/2],[2],16*x)*(16*x-1)^3/x^2+1/4*(-6*x-3)/x^2 ogf] A186266 14.6137 [hypergeom([1/2,3/2],[4],16*x) ogf] A186266 5.89262 [{(-16*n^2-64*n-60)*a(n+1)+(n^2+7*n+10)*a(n+2),a(0)=1,a(1)=3} ogf] A186272 7.86489 [(x-1)*(x+1)*(x^4+2*x^3+x-1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A186314 17.4544 [-x^2/(3*x-1)/(x^2-3*x+1) ogf] A186314 20.7548 [-(6-20*x+9*x^2)/(3*x-1)/(x^2-3*x+1) lgdogf] A186314 6.60436 [{a(n+3)-6*a(n+2)+10*a(n+1)-3*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A186314 8.94006 [3*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+x^2-f(x) ogf] A186334 6.56408 [f(x)^2*x^4+f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2-f(x)*x+f(x)-1 ogf] A186335 18.0284 [-(2*x-1)*(5*x^2+7*x+1)/(5*x^2+x-1)/(x^2+x-1) lgdogf] A186335 8.15138 [-5*f(x)^2*x^4-6*f(x)^2*x^3+5*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A186338 13.0011 [1/4+3/4*x-1/2*x^2-1/4*(1-2*x+13*x^2-12*x^3+4*x^4)^(1/2) revogf] A186338 8.98487 [-2*f(x)^2*x^2+f(x)^2*x+3*f(x)*x-f(x)-2*x+1 ogf] A186347 17.5425 [(x^4-x^2-1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A186347 20.9421 [-2*(-1-2*x-2*x^2+x^6-2*x^3-x^5+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2-1) lgdogf] A186349 14.6489 [(x^5-x^4+x^3-x^2-1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A186349 17.1112 [-(-2-4*x-x^2+3*x^6-10*x^3+3*x^4-2*x^5+x^8)/(x-1)/(x+1)/(x^2+1)/(x^5-x^4+x^3-x^2-1) lgdogf] A186351 15.0858 [(x^3-2*x^2+2*x-2)/(x^2+1)/(x-1)^3 ogf] A186351 19.1670 [-(-4+4*x-11*x^2+8*x^3-5*x^4+2*x^5)/(x-1)/(x^2+1)/(x^3-2*x^2+2*x-2) lgdogf] A186351 5.43343 [{(n^2+13*n+38)*a(n+1)+(-n^2-11*n-26)*a(n+2)+(n^2+13*n+38)*a(n+3)+(-n^2-11*n-26)*a(n+4),a(0)=2,a(1)=4,a(2)=6,a(3)=9} ogf] A186353 20.3374 [(x^3-x^2-1)/(x^2+1)/(x-1)^3 ogf] A186353 33.2526 [-(-3-3*x^2-2*x^4+2*x^5)/(x-1)/(1+x^2)/(x^3-x^2-1) lgdogf] A186353 6.98021 [{(n^2+13*n+36)*a(n+1)+(-n^2-11*n-24)*a(n+2)+(n^2+13*n+36)*a(n+3)+(-n^2-11*n-24)*a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=9} ogf] A186355 18.9822 [(x^3-x-1)/(x^2+x+1)/(x-1)^3 ogf] A186355 24.4722 [-(-3-4*x-4*x^2-2*x^3+2*x^4+2*x^5)/(x-1)/(1+x+x^2)/(x^3-x-1) lgdogf] A186355 6.70472 [{(n^2+15*n+44)*a(n+1)+(2*n+14)*a(n+2)+(2*n+14)*a(n+3)+(-n^2-13*n-30)*a(n+4),a(0)=1,a(1)=3,a(2)=5,a(3)=7} ogf] A186357 19.6102 [(x^4-x^2-1)/(x^2+x+1)/(x-1)^3 ogf] A186357 26.1739 [-(x^2+2)*(x^4+2*x^3-3*x^2-2*x-1)/(x-1)/(1+x+x^2)/(x^4-x^2-1) lgdogf] A186359 4.20001 [{(-n-2)*a(n+1)+a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A186371 12.1510 [1/6*x*(x^2-3*x+6)/(x-1)^2 egf] A186371 25.7516 [(-9+x)/(x-1)/(x^2-3*x+6) lgdegf] A186371 3.18895 [{(n^2+2*n)*a(n+1)+(-3*n^2-16*n-14)*a(n+2)+(4*n^2+35*n+66)*a(n+3)+(-12-4*n)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=13} ogf] A186371 7.49742 [-f(x)*(6*f(x)*x^2-x^3-12*f(x)*x+3*x^2+6*f(x)-6*x) egf] A186375 3.01536 [{(-64*n^2-256*n-252)*a(n+1)+(20*n^2+100*n+126)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=6,a(2)=54} ogf] A186380 9.71107 [(x^7-x^6+x^5-2*x^4+2*x^3-2*x^2+x-1)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A186382 10.0618 [(x^8-x^7+x^5-2*x^4+2*x^3-2*x^2+x-1)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A186384 16.7163 [-(-2-4*x-4*x^2-3*x^6-4*x^3-4*x^4+2*x^7+2*x^8+2*x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5-x^2-1) lgdogf] A186384 18.1762 [(x^5-x^2-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A186386 15.4014 [(x^2-x+1)*(x^4+x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A186388 9.48233 [(x^9-2*x^6+x^5-x^4+2*x^3-x^2-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A186390 14.1896 [-(-2-2*x-9*x^2-3*x^6-4*x^3-12*x^4+4*x^5+6*x^7+x^8+2*x^9+x^10)/(x-1)/(x^2+1)/(1+x+x^2)/(x^6-x^2-1) lgdogf] A186390 14.3733 [(x^6-x^2-1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A186414 3.61393 [{(64*n^3+288*n^2+432*n+216)*a(n+1)+(-n^3-8*n^2-21*n-18)*a(n+2),a(0)=1,a(1)=2} ogf] A186415 5.80766 [{(64*n^3+288*n^2+432*n+216)*a(n+1)+(-n^3-7*n^2-16*n-12)*a(n+2),a(0)=1,a(1)=4} ogf] A186416 4.49981 [{(-256*n^4-1536*n^3-3456*n^2-3456*n-1296)*a(n+1)+(n^4+11*n^3+45*n^2+81*n+54)*a(n+2),a(0)=1,a(1)=2} ogf] A186417 4.82239 [-(x^2+x)/(x-1) ogf_with_Euler_transform] A186418 2.93401 [{(-256*n^4-1536*n^3-3456*n^2-3456*n-1296)*a(n+1)+(n^4+10*n^3+37*n^2+60*n+36)*a(n+2),a(0)=1,a(1)=4} ogf] A186419 3.68551 [{(-256*n^4-1536*n^3-3456*n^2-3456*n-1296)*a(n+1)+(n^4+9*n^3+30*n^2+44*n+24)*a(n+2),a(0)=1,a(1)=8} ogf] A186420 3.88685 [{(-256*n^4-1536*n^3-3456*n^2-3456*n-1296)*a(n+1)+(n^4+8*n^3+24*n^2+32*n+16)*a(n+2),a(0)=1,a(1)=16} ogf] A186421 14.2356 [-2*(1+x+5*x^2+3*x^6+5*x^3+7*x^4+x^5+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+2*x+1) lgdogf] A186421 14.5949 [x*(x^4+2*x^3+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A186422 15.0904 [-(x^4+2*x^3+2*x+1)/(x-1)/(x^2+1)/(x+1)^2 ogf] A186422 15.8577 [-(1-x+7*x^2+3*x^6+5*x^3+9*x^4-x^5+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+2*x+1) lgdogf] A186423 11.7470 [-(3+5*x+13*x^2+9*x^6+15*x^3+19*x^4+5*x^5+3*x^7)/(x-1)/(x+1)/(x^2+1)/(x^4+2*x^3+2*x+1) lgdogf] A186423 9.62781 [-x*(x^4+2*x^3+2*x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A186424 12.0762 [-(3+19*x+20*x^2+24*x^3+5*x^4+x^5)/(x-1)/(x+1)/(x^4+2*x^3+6*x^2+2*x+1) lgdogf] A186424 9.12804 [-(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A186438 9.38977 [2*(5*x^6+x^5+4*x^4+5*x^3+4*x^2+x+5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A186439 8.60684 [2*(x^4+x^3+x^2+x+1)*(19*x^2+12*x+19)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A186444 7.51563 [x^2*(x^24+x^21+x^18+x^12+x^9+x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A186445 16.5174 [-(x^4-x+1)/(x-1) ogf_with_Euler_transform] A186446 19.1897 [1/(2*x^2-7*x+1) ogf] A186446 27.0036 [-(-7+4*x)/(2*x^2+1-7*x) lgdogf] A186446 7.72268 [{-a(n+2)+7*a(n+1)-2*a(n),a(0)=1,a(1)=7} ogf] A186446 7.72269 [(45*f(x)+4)*(2*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A186454 7.21425 [(x^7+2*x^6-3*x^5-6*x^4+9*x^3-11*x+16)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186455 6.33496 [(4*x^7+2*x^6+4*x^5-30*x^4+28*x^3-9*x^2-12*x+21)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186456 5.75232 [(16*x^8-7*x^7+19*x^6-16*x^5-36*x^4+24*x^3+9*x^2-33*x+42)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186457 5.33409 [(64*x^9-28*x^8+45*x^7-19*x^6-16*x^5-115*x^4+107*x^3-14*x^2-34*x+61)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186458 4.82893 [(144*x^10-44*x^9+88*x^8-111*x^7+45*x^6-143*x^5-57*x^4+121*x^3+14*x^2-84*x+106)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186459 4.50124 [(324*x^11-128*x^10+260*x^9-344*x^8+61*x^7-190*x^6+52*x^5-193*x^4+251*x^3-32*x^2-105*x+151)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186460 4.08154 [(784*x^12-300*x^11+484*x^10-640*x^9-36*x^8-547*x^7+369*x^6-144*x^5-115*x^4+255*x^3+6*x^2-198*x+245)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186461 3.65182 [(1936*x^13-780*x^12+1200*x^11-1624*x^10-12*x^9-1432*x^8+641*x^7+30*x^6+244*x^5-505*x^4+519*x^3-68*x^2-261*x+359)/(x-1)/(x^4-x^3+x^2+x-1) ogf] A186464 4.97879 [(x^9-2*x^8+26*x^7-4*x^6-40*x^5-37*x^4+54*x^3+30*x^2-79*x+81)/(x-1)/(2*x^4-2*x^3+2*x^2+x-1) ogf] A186465 4.61610 [(x^10-2*x^9+4*x^8+12*x^7+60*x^6+8*x^5-280*x^4+279*x^3-98*x^2-37*x+83)/(x-1)/(2*x^4-2*x^3+2*x^2+x-1) ogf] A186466 4.16032 [(x^11-2*x^10+4*x^9+176*x^8-170*x^7+276*x^6-210*x^5-294*x^4+184*x^3+179*x^2-311*x+277)/(x-1)/(2*x^4-2*x^3+2*x^2+x-1) ogf] A186467 3.64834 [(9*x^12-18*x^11+36*x^10+1364*x^9-1350*x^8+1428*x^7-604*x^6+196*x^5-1920*x^4+1686*x^3-288*x^2-172*x+367)/(x-1)/(2*x^4-2*x^3+2*x^2+x-1) ogf] A186474 4.01898 [(2*x^11+2*x^10-2*x^9-19*x^8+191*x^7-88*x^6-211*x^5-109*x^4+181*x^3+176*x^2-307*x+256)/(x-1)/(3*x^4-3*x^3+3*x^2+x-1) ogf] A186475 3.95213 [(2*x^12+x^10+3*x^9-33*x^8+112*x^7+336*x^6-110*x^5-1116*x^4+1153*x^3-433*x^2-48*x+205)/(x-1)/(3*x^4-3*x^3+3*x^2+x-1) ogf] A186494 15.2405 [-(-3-4*x-7*x^2-2*x^6-10*x^3-8*x^4-8*x^5-4*x^7-x^8+2*x^9)/(x-1)/(x^4+x^3+x^2+x+1)/(x^5-x^4-x^3-x-1) lgdogf] A186494 16.2499 [(x^5-x^4-x^3-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A186496 16.3928 [(x^6-x^5-2*x^2-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A186496 17.5778 [-(-2-6*x-6*x^2-10*x^6-6*x^3-16*x^4+x^10)/(x-1)/(x^4+x^3+x^2+x+1)/(x^6-x^5-2*x^2-1) lgdogf] A186498 17.1956 [(x^3-x^2+x-2)/(x^2+x+1)/(x-1)^3 ogf] A186498 23.6699 [-(-3-4*x-7*x^2+4*x^3-x^4+2*x^5)/(x-1)/(1+x+x^2)/(x^3-x^2+x-2) lgdogf] A186498 6.70472 [{(n^2+15*n+46)*a(n+1)+(2*n+14)*a(n+2)+(2*n+14)*a(n+3)+(-n^2-13*n-32)*a(n+4),a(0)=2,a(1)=3,a(2)=5,a(3)=8} ogf] A186544 7.85220 [(9*x^15+8*x^14+8*x^13+8*x^12+8*x^11+8*x^10+8*x^9+8*x^8+8*x^7+8*x^6+8*x^5+8*x^4+8*x^3+8*x^2+8*x+8)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A186561 4.14447 [(712*x^9+1236*x^8+812*x^7-3114*x^6-1996*x^5+2734*x^4-660*x^3+776*x^2-1269*x+721)/(x-1)/(2*x^6-2*x^4+2*x^3+x-1) ogf] A186562 3.74132 [(800*x^10-288*x^9+1280*x^8+6916*x^7-7774*x^6-7616*x^5+10230*x^4-4810*x^3+3514*x^2-5433*x+2917)/(x-1)/(2*x^6-2*x^4+2*x^3+x-1) ogf] A186563 3.62500 [(6272*x^11-4416*x^9+1848*x^8+17962*x^7-19680*x^6-15622*x^5+20566*x^4-9636*x^3+7193*x^2-11777*x+6594)/(x-1)/(2*x^6-2*x^4+2*x^3+x-1) ogf] A186575 12.0146 [-(3+14*x+2*x^2+8*x^3+12*x^4)/(2*x-1)/(1+x+x^2)/(6*x^2+2*x+1) lgdogf] A186575 12.0449 [-(6*x^2+2*x+1)/(2*x-1)/(x^2+x+1) ogf] A186575 6.02243 [-(6321*f(x)+14194)*(2*f(x)*x^3+f(x)*x^2+f(x)*x+6*x^2-f(x)+2*x+1) ogf] A186575 6.50210 [{-a(n+3)+a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A186620 15.8311 [-(13*x+12)/(x^2+x-1) ogf] A186620 19.7286 [-(25+24*x+13*x^2)/(13*x+12)/(x^2+x-1) lgdogf] A186620 8.82845 [(49*f(x)+37)*(f(x)*x^2+f(x)*x-f(x)+13*x+12) ogf] A186620 8.85788 [{a(n+2)-a(n+1)-a(n),a(0)=12,a(1)=25} ogf] A186636 10.5694 [-x*(x^3+9*x^2+9*x+5)/(x-1)^5 ogf] A186636 20.2271 [-2*(17+27*x+15*x^2+x^3)/(x-1)/(x^3+9*x^2+9*x+5) lgdogf] A186636 5.11604 [{(-28*n^2-127*n-142)*a(n+1)+(2*n^2-202*n-442)*a(n+2)+(26*n^2+113*n+122)*a(n+3),a(0)=0,a(1)=5,a(2)=34} ogf] A186646 14.9212 [(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A186679 14.7555 [-x*(x-3)/(x^2+1)/(x^2-x-1) ogf] A186679 19.2293 [-(4+9*x^2-14*x^3+3*x^4)/(x-3)/(1+x^2)/(x^2-x-1) lgdogf] A186679 7.44305 [(7580*f(x)+7183)*(f(x)*x^4-f(x)*x^3-f(x)*x+x^2-f(x)-3*x) ogf] A186680 13.7967 [-x*(2*x^3+30*x^2+30*x+3)/(x-1) ogf] A186680 15.7154 [(-33-60*x+24*x^2+4*x^3)/(x-1)/(2*x^3+30*x^2+30*x+3) lgdogf] A186680 7.40005 [{a(n+5)-a(n+4),a(0)=0,a(1)=3,a(2)=33,a(3)=63,a(4)=65} ogf] A186680 7.98045 [(216883*f(x)+348165513)*(2*x^4+30*x^3+f(x)*x+30*x^2-f(x)+3*x) ogf] A186681 21.4056 [6*(5+10*x+x^2)/(2*x^3+30*x^2+30*x+3) lgdogf] A186681 4.86394 [{a(n+5),a(0)=0,a(1)=3,a(2)=30,a(3)=30,a(4)=2} ogf] A186681 4.9205 [-(8102*f(x)+146969235)*(-2*x^4-30*x^3-30*x^2+f(x)-3*x) ogf] A186682 16.2801 [-x*(5*x^2+17*x+2)/(x-1) ogf] A186682 21.6617 [(-19-10*x+5*x^2)/(x-1)/(5*x^2+17*x+2) lgdogf] A186682 8.39181 [{-a(n+4)+a(n+3),a(0)=0,a(1)=2,a(2)=19,a(3)=24} ogf] A186682 8.65963 [-(84145*f(x)-1546533)*(5*x^3+f(x)*x+17*x^2-f(x)+2*x) ogf] A186683 31.9228 [(17+10*x)/(5*x^2+17*x+2) lgdogf] A186683 5.31096 [{-a(n+4),a(0)=0,a(1)=2,a(2)=17,a(3)=5} ogf] A186683 5.91792 [(3025*f(x)-175491)*(-5*x^3-17*x^2+f(x)-2*x) ogf] A186684 11.7313 [-f(x)*(f(x)*x+6*x^2-f(x)+x) ogf] A186684 19.1707 [-x*(6*x+1)/(x-1) ogf] A186684 48.2877 [-7/(6*x+1)/(x-1) lgdogf] A186684 9.46988 [{-a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=7} ogf] A186685 6.32098 [{-a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A186685 85.8447 [6/(6*x+1) lgdogf] A186685 9.1303 [f(x)*(-6*x^2+f(x)-x) ogf] A186690 99.9999 Evaluated at exp(-Pi) 1/8*exp(Pi)/Pi A186704 3.31321 [[1+x] ogf_with_Euler_transform] A186707 10.4161 [-2*(7+43*x+80*x^2+62*x^3+17*x^4+x^5)/(x-1)/(x+1)/(x^4+10*x^3+20*x^2+10*x+1) lgdogf] A186707 8.28689 [-(x^4+10*x^3+20*x^2+10*x+1)/(x+1)/(x-1)^5 ogf] A186719 13.2235 [x*(-2+4*x^3-2*x^6-17*x^15+14*x^18)/(x-1)/(1+x+x^2)/(x^17-x^5-x^3+x^2+1) lgdogf] A186719 8.98566 [-(x^17-x^5-x^3+x^2+1)/(x-1)/(x^2+x+1) ogf] A186723 6.07162 [x*(8*x^12-2*x^11-x^8-6*x^7-x^6-6*x^5-5*x^4-6*x^3-9*x^2-4*x-1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A186731 12.9374 [x^2*(x+1)^2/(x-1)^2/(x^2+x+1)^2 ogf] A186731 15.4947 [-2*(1+3*x^2+2*x^3)/(x-1)/(x+1)/(1+x+x^2) lgdogf] A186731 33.5291 [2*x^2-2*x+2 ogf_with_Euler_transform] A186739 6.22683 [{a(n+1)*n-a(n)*n-a(n+3)+2*a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A186741 3.90931 [-(-x^16-x^15+x^11+x^10+x^9-x^7-x^6-x^5-x^4)/(x^17+x^16+x^9+x^8+x+1) ogf_with_Euler_transform] A186742 5.33415 [-(-x^16-x^13-x^8+x^2-1)/(x^17+x^16+x^9+x^8+x+1) ogf_with_Euler_transform] A186755 26.0487 [-(1+exp(x)*x-exp(x))/(x-1) lgdegf] A186758 25.4199 [-(exp(x)*x-exp(x)-x+2)/(x-1) lgdegf] A186763 4.02025 [{(n+2)*a(n+1)-a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=7} ogf] A186788 6.35881 [-(288*x^4+36*x^3-471*x^2-188*x-246)/(9*x^5-15*x^3-4*x^2-7*x+1) ogf] A186809 11.3881 [x*(x+1)^2/(x^2+x+1)/(x^2-x+1) ogf] A186809 21.1509 [-2*(-1+x+2*x^3+x^4)/(x+1)/(1+x+x^2)/(x^2-x+1) lgdogf] A186809 23.8956 [[x^5-3*x+2] ogf_with_Euler_transform] A186809 7.01689 [(11*f(x)-16)*(f(x)*x^4+f(x)*x^2-x^3-2*x^2+f(x)-x) ogf] A186812 12.1510 [-1/(x^6+3*x^5+4*x^4+3*x^3+2*x^2+x-1) ogf] A186813 14.5594 [-(3-6*x+12*x^2-4*x^3+x^4+2*x^5)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1) lgdogf] A186813 21.9049 [-x^5+2*x^3+x^2-3*x+3 ogf_with_Euler_transform] A186813 9.28863 [x*(x^2-x+1)*(x+1)^2/(x-1)^2/(x^2+1)^2 ogf] A186817 3.80574 [-3*(837*x^6+495*x^5+870*x^4+609*x^3+16*x^2-76*x-42)/(81*x^7+27*x^6+72*x^5+36*x^4-15*x^3-9*x^2-3*x+1) ogf] A186828 5.8396 [-2*f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)^2*x^2+f(x)*x^3-2*f(x)^2*x-3*f(x)*x^2+f(x)*x+f(x)-1 ogf] A186829 99.9999 Evaluated at exp(-Pi) -3*exp(-Pi)/Pi^2*GAMMA(2/3)^4/GAMMA(11/12)^2*GAMMA(7/12)^2*(2+3^(1/2))/(-2+3^(1/2)) A186830 10.2633 [-(-9+4*x-14*x^2-16*x^3+3*x^4)/(3*x^2-8*x-1)/(x^3+x^2+x-1) lgdogf] A186830 5.16044 [(151*f(x)+5569)*(f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2-f(x)+8*x+1) ogf] A186830 5.34474 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=7} ogf] A186830 9.81330 [(3*x^2-8*x-1)/(x^3+x^2+x-1) ogf] A186842 4.24424 [-(75077*f(x)-303342)*(8*f(x)*x^4+10*f(x)*x^3+3*f(x)*x^2+40*x^3+f(x)*x+64*x^2-f(x)+34*x+16) ogf] A186842 8.02263 [-2*(20*x^3+32*x^2+17*x+8)/(8*x^4+10*x^3+3*x^2+x-1) ogf] A186843 5.17568 [-2*(14*x^5+23*x^4+91*x^3+167*x^2+59*x+25)/(2*x^6+3*x^5+14*x^4+24*x^3+4*x^2+2*x-1) ogf] A186852 10.8868 [-(-13-30*x+x^2)/(x-1)/(3*x^3-8*x^2-7*x-2) lgdogf] A186852 3.30498 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=16,a(1)=104,a(2)=328,a(3)=664} ogf] A186852 6.29304 [8*(3*x^3-8*x^2-7*x-2)/(x-1)^3 ogf] A186852 6.53542 [(71*f(x)-6984)*(f(x)*x^3-3*f(x)*x^2-24*x^3+3*f(x)*x+64*x^2-f(x)+56*x+16) ogf] A186853 7.69977 [16*(6*x^5-3*x^4-16*x^3-25*x^2-10*x-1)/(x-1)^3 ogf] A186853 9.09989 [(13+70*x+73*x^2+12*x^3-33*x^4+12*x^5)/(x-1)/(6*x^5-3*x^4-16*x^3-25*x^2-10*x-1) lgdogf] A186854 4.24630 [8*(37*x^7+37*x^6-45*x^5-187*x^4-264*x^3-206*x^2-44*x-2)/(x-1)^3 ogf] A186858 26.9720 [x/(x+1)/(x^4+2*x^3+2*x^2+x+1) revogf] A186859 21.2194 [(2*x+1)*(3*x^4+6*x^3+5*x^2+2*x+1) lgdegf] A186862 17.8951 [-2*(10+11*x)/(11*x+3)/(x-1) lgdogf] A186862 4.14425 [(38367*f(x)-1368874)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+88*x^2-f(x)+24*x) ogf] A186862 4.32602 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=160} ogf] A186862 8.35875 [-8*x*(11*x+3)/(x-1)^3 ogf] A186863 14.4959 [2*(7*x+62)*(3*x+1)/(x-1)/(15*x^3-87*x^2-106*x-6) lgdogf] A186863 4.41434 [-(8927832794704*f(x)+8909373920052957)*(f(x)*x^3-60*x^4-3*f(x)*x^2+348*x^3+3*f(x)*x+424*x^2-f(x)+24*x) ogf] A186863 4.64668 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=24,a(2)=496,a(3)=1764,a(4)=3768} ogf] A186863 8.94044 [4*x*(15*x^3-87*x^2-106*x-6)/(x-1)^3 ogf] A186864 13.6699 [-(-839-964*x+51*x^2)/(x-1)/(49*x^3-96*x^2-386*x-151) lgdogf] A186864 8.24947 [8*x^2*(49*x^3-96*x^2-386*x-151)/(x-1)^3 ogf] A186865 4.72929 [4*x^2*(465*x^4-11*x^3-3194*x^2-3988*x-560)/(x-1)^3 ogf] A186874 3.82384 [(7047*x^9+12492*x^8+1305*x^7-22980*x^6-11457*x^5+15069*x^4-2436*x^3+2787*x^2-4435*x+2428)/(x-1)/(3*x^6-3*x^4+3*x^3+x-1) ogf] A186875 3.42702 [(7803*x^10-4104*x^9+16011*x^8+72393*x^7-80919*x^6-75462*x^5+107205*x^4-49779*x^3+23546*x^2-37271*x+19236)/(x-1)/(3*x^6-3*x^4+3*x^3+x-1) ogf] A186924 12.9919 [-(-4*x^4-2*x^3-2*x-4)/(-x^6+1) ogf_with_Euler_transform] A186930 8.17222 [-(-4*x^10-x^9-4*x^6-6*x^5-4*x^4-x-4)/(x^12-1) ogf_with_Euler_transform] A186940 5.38117 [-f(x)^2*x^4+3*f(x)^2*x^3-f(x)^2*x^2-3*f(x)^2*x-2*f(x)*x^2+3*f(x)*x+f(x)-1 ogf] A186942 3.93552 [{(8*n+24)*a(n+1)+(-14*n-38)*a(n+2)+(7*n+16)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=3,a(2)=15,a(3)=79} ogf] A186942 5.408 [-(27*f(x)+26)*(16*f(x)*x^4-36*f(x)*x^3+28*f(x)*x^2+8*x^3-9*f(x)*x-16*x^2+f(x)+6*x-1) ogf] A186942 9.30886 [-(-3+18*x-72*x^2+208*x^3-224*x^4+64*x^5)/(x-1)/(-1+2*x)/(4*x-1)/(8*x^3-16*x^2+6*x-1) lgdogf] A186942 9.81452 [-(8*x^3-16*x^2+6*x-1)/(4*x-1)/(x-1)/(2*x-1)^2 ogf] A186947 12.1161 [-(12*x^2-6*x+1)/(4*x-1)/(2*x-1)^2 ogf] A186947 13.3754 [-2*(-1+6*x-24*x^2+48*x^3)/(-1+2*x)/(4*x-1)/(12*x^2-6*x+1) lgdogf] A186947 6.57141 [-(3*f(x)-1)*(16*f(x)*x^3-20*f(x)*x^2+8*f(x)*x+12*x^2-f(x)-6*x+1) ogf] A186947 6.80200 [{-a(n+3)+8*a(n+2)-20*a(n+1)+16*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A186948 10.5221 [-(7*x^2-4*x+1)/(3*x-1)/(x-1)^2 ogf] A186948 13.1003 [-(-1-x-3*x^2+21*x^3)/(x-1)/(3*x-1)/(7*x^2-4*x+1) lgdogf] A186948 5.73077 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A186948 5.78239 [(6*f(x)-5)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+7*x^2-f(x)-4*x+1) ogf] A186949 12.3105 [-2*f(x)*x-4*x^2+f(x)+2*x-1 ogf] A186949 14.4991 [-(4*x^2-2*x+1)/(2*x-1) ogf] A186949 20.0674 [8*x*(x-1)/(-1+2*x)/(4*x^2-2*x+1) lgdogf] A186949 7.86094 [{-a(n+3)+2*a(n+2),a(0)=1,a(1)=0,a(2)=4} ogf] A186950 11.2043 [-(527*x^2-1004*x+479)/(x-1)^3 ogf] A186950 17.3987 [-(433-954*x+527*x^2)/(x-1)/(527*x^2-1004*x+479) lgdogf] A186950 5.99918 [(1019*f(x)-2436036)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+527*x^2-f(x)-1004*x+479) ogf] A186950 6.45674 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=479,a(1)=433,a(2)=389} ogf] A186966 3.87868 [-8*x*(9*x^3+30*x^2+25*x+3)/(x+1)/(x-1)^5 ogf] A186996 17.0514 [1/2/(x+1)*(1+(1-4*x^3-4*x^2)^(1/2))*x revogf] A186997 21.2109 [1/2*(1+(1-4*x-4*x^2)^(1/2))*x revogf] A187003 11.2615 [-(3*x^2+2*x+1)*(2*x^3+2*x^2+2*x+1)/(2*x^2-1+x+3*x^4+3*x^3+x^6+2*x^5) lgdogf] A187003 11.9926 [-1/(x^6+2*x^5+3*x^4+3*x^3+2*x^2+x-1) ogf] A187004 5.84937 [-(3*x^2+2*x+1)*(2*x^3+2*x^2+2*x+1)/(x^6+2*x^5+3*x^4+3*x^3+2*x^2+x-1) ogf] A187012 12.0288 [-(x^4-3*x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A187012 7.37613 [(680*f(x)+1417)*(f(x)*x^4+x^4-2*f(x)*x^2-3*x^2+f(x)-2*x-1) ogf] A187028 6.46675 [8*x*(4*x^4-9*x^3-24*x^2-28*x-3)/(x-1)^3 ogf] A187028 8.87257 [(2*x+1)*(2*x^3-9*x^2+30*x+37)/(x-1)/(4*x^4-9*x^3-24*x^2-28*x-3) lgdogf] A187029 6.28614 [4*x*(56*x^6+9*x^5-117*x^4-602*x^3-774*x^2-318*x-6)/(x-1)^3 ogf] A187035 11.8758 [-1/(x-1)/(x^2-x+1)/(x+1)^2 ogf] A187035 16.8762 [-x*(2-5*x+5*x^2)/(x-1)/(x+1)/(x^2-x+1) lgdogf] A187035 18.3539 [x^5-x^2+x ogf_with_Euler_transform] A187044 4.09249 [{(n+2)*a(n+1)+(-n-2)*a(n+2)+a(n+4)-2*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A187047 15.4912 [2*(17+22*x+3*x^2)/(x-1)/(x^3-9*x^2-13*x-7) lgdogf] A187047 3.59421 [{(50*n^2-33*n-17)*a(n+1)+(5*n^2+277*n-102)*a(n+2)+(-55*n^2-34*n+21)*a(n+3),a(0)=0,a(1)=0,a(2)=28} ogf] A187047 8.22175 [4*x^2*(x^3-9*x^2-13*x-7)/(x-1)^3 ogf] A187048 7.31984 [4*x^2*(9*x^5-8*x^4-50*x^3-85*x^2-50*x-6)/(x-1)^3 ogf] A187048 9.24391 [(68+270*x+235*x^2+32*x^3-53*x^4+18*x^5)/(x-1)/(9*x^5-8*x^4-50*x^3-85*x^2-50*x-6) lgdogf] A187049 5.96627 [4*x^2*(37*x^7+41*x^6-70*x^5-308*x^4-472*x^3-388*x^2-108*x-2)/(x-1)^3 ogf] A187050 4.85550 [4*x^3*(113*x^8+290*x^7+163*x^6-531*x^5-1651*x^4-2715*x^3-2599*x^2-1300*x-146)/(x-1)^3 ogf] A187051 3.97960 [4*x^3*(313*x^10+1175*x^9+1721*x^8+531*x^7-3066*x^6-9182*x^5-14708*x^4-16724*x^3-11434*x^2-3206*x-100)/(x-1)^3 ogf] A187053 12.5551 [-(-3*x+3)/(x^3+x^2+x+1) ogf_with_Euler_transform] A187053 99.9999 Evaluated at exp(-Pi) 1/4*exp(3/8*Pi)*2^(1/8) A187062 4.46398 [-2*x^2*(2*x^9+x^8-4*x^7-6*x^6+4*x^4+x^3-5*x^2-7*x-4)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A187065 10.0006 [-x^2*(-3-2*x^4-8*x+x^2+10*x^3-4*x^5+3*x^6)/(x^3-x^2+1)/(x^6-2*x^4-x^2+1) lgdogf] A187065 11.1492 [x^2*(x^3-x^2+1)/(x^6-2*x^4-x^2+1) ogf] A187066 10.2097 [(x^3-x^2+1)/(x^6-2*x^4-x^2+1) ogf] A187066 9.67795 [-x^2*(-3-2*x^4-8*x+x^2+10*x^3-4*x^5+3*x^6)/(x^3-x^2+1)/(x^6-2*x^4-x^2+1) lgdogf] A187067 8.91942 [-(1+2*x+x^2-5*x^6+4*x^3+6*x^4-4*x^5+2*x^9)/(x^4-x-1)/(x^6-2*x^4-x^2+1) lgdogf] A187067 9.21222 [-x*(x^4-x-1)/(x^6-2*x^4-x^2+1) ogf] A187068 10.3569 [(x-1)*(x^4+x^3+x^2-x-1)/(x^6-x^4-2*x^2+1) ogf] A187068 8.77613 [-x^3*(6*x^3-4-5*x+10*x^2-8*x^4+x^5+x^7)/(x-1)/(x^4+x^3+x^2-x-1)/(x^6-x^4-2*x^2+1) lgdogf] A187069 10.4927 [-x*(2+3*x+x^5-2*x^3-4*x^4+4*x^6-3*x^7+2*x^8)/(x-1)/(x^6-x^4-2*x^2+1)/(x^3+x+1) lgdogf] A187069 10.7279 [-x*(x-1)*(x^3+x+1)/(x^6-x^4-2*x^2+1) ogf] A187070 9.51285 [-x^2*(x^2-x-1)/(x^6-x^4-2*x^2+1) ogf] A187070 9.54181 [-(1+2*x+2*x^2-5*x^6+4*x^3+3*x^4-8*x^5+4*x^7)/(x^2-x-1)/(x^6-x^4-2*x^2+1) lgdogf] A187071 4.00383 [-2*f(x)^2*x^4+14*f(x)^2*x^3-19*f(x)^2*x^2+32*f(x)^2*x+3*f(x)*x^2-5*f(x)^2-18*f(x)*x+3*f(x)+2 ogf] A187074 9.48466 [-(x^6+x^3+1)*(x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A187076 11.6134 [-(-4*x^3+4*x^2-8*x+4)/(x^4-1) ogf_with_Euler_transform] A187076 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/6*Pi)*Pi/GAMMA(3/4)^4 A187077 10.0639 [-(4-12*x+17*x^2-8*x^3+2*x^4)/(x-1)/(2*x^4-10*x^3+13*x^2-7*x+1) lgdogf] A187077 4.38969 [-(114*f(x)+7)*(2*f(x)*x^4-10*f(x)*x^3+13*f(x)*x^2+x^3-7*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A187077 8.05701 [-(x-1)^3/(2*x^4-10*x^3+13*x^2-7*x+1) ogf] A187078 15.4678 [-(37*x-38)/(10*x-1)/(x-1) ogf] A187078 16.5764 [-(381-760*x+370*x^2)/(x-1)/(37*x-38)/(10*x-1) lgdogf] A187078 7.895 [(3431*f(x)+14783)*(10*f(x)*x^2-11*f(x)*x+f(x)+37*x-38) ogf] A187078 8.71172 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=38,a(1)=381} ogf] A187093 12.6899 [-(-1-2*x-8*x^2+8*x^3-11*x^4+2*x^5)/(x-1)/(x^2+1)/(x^3-4*x^2+2*x-1) lgdogf] A187093 9.54555 [x*(x^3-4*x^2+2*x-1)/(x^2+1)/(x-1)^3 ogf] A187107 12.3925 [-(8-14*x-10*x^2+16*x^3+7*x^4)/(x-1)/(7*x^2+8*x-8)/(x^2+x-1) lgdogf] A187107 14.0699 [-(7*x^2+8*x-8)/(x-1)/(x^2+x-1) ogf] A187107 7.76776 [(48*f(x)-505)*(f(x)*x^3-2*f(x)*x+7*x^2+f(x)+8*x-8) ogf] A187107 7.93304 [{a(n+3)-2*a(n+2)+a(n),a(0)=8,a(1)=8,a(2)=9} ogf] A187130 4.53985 [-(-3*x^8-x^7+x^6-x^5-4*x^4-x^3+x^2-x-3)/(x^10-x^8+x^6-x^4+x^2-1) ogf_with_Euler_transform] A187143 8.65684 [-(x^4-3*x^3+3*x-1)/(-x^6+x^5-x^3+x-1) ogf_with_Euler_transform] A187144 8.22935 [-(-x^6-x^5+2*x^4-2*x^2+x+1)/(-x^8-x^4-1) ogf_with_Euler_transform] A187145 5.62076 [-(3*x^7-4*x^6+2*x^5+x^4-x^3-2*x^2+4*x-3)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A187146 99.9999 Evaluated at exp(-Pi) -12*exp(-Pi)/Pi*GAMMA(2/3)^2*GAMMA(3/4)^8/GAMMA(11/12)^5/GAMMA(7/12)^3/(-2+3^(1/2)) A187147 99.9999 Evaluated at exp(-Pi) 9/16*exp(-Pi)/Pi^2*GAMMA(2/3)^4*GAMMA(3/4)^4*(1+3^(1/2))^4/GAMMA(11/12)^4 A187148 99.9999 Evaluated at exp(-Pi) exp(-Pi)*(1+3^(1/2))^3 A187149 12.2924 [-(4*x^3+4*x^2+2*x+4)/(-x^4+1) ogf_with_Euler_transform] A187149 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/3*Pi)*Pi*2^(3/4)/GAMMA(3/4)^4 A187150 11.7812 [-(-4*x^2+2*x-2)/(x^3-x^2+x-1) ogf_with_Euler_transform] A187150 99.9999 Evaluated at exp(-Pi) 1/16*exp(7/12*Pi)*Pi*2^(3/4)/GAMMA(3/4)^4 A187153 9.20036 [-(-x^4+3*x^3-3*x+1)/(-x^6+x^5-x^3+x-1) ogf_with_Euler_transform] A187154 10.9656 [-(-2*x^4-x^3-x-2)/(-x^6+x^4-x^2+1) ogf_with_Euler_transform] A187154 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi)*2^(1/4)*(2-2^(1/2))^(1/2) A187156 12.9215 [-4*x^2*(x+5)/(x-1)^3 ogf] A187156 39.6807 [-2*(x+8)/(x+5)/(x-1) lgdogf] A187156 6.06921 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=20,a(3)=64} ogf] A187156 7.41792 [-f(x)*(f(x)*x^3-3*f(x)*x^2+4*x^3+3*f(x)*x+20*x^2-f(x)) ogf] A187157 11.3529 [4*x^2*(x^2-17*x-2)/(x-1)^3 ogf] A187157 23.1552 [-(-23-32*x+x^2)/(x-1)/(x^2-17*x-2) lgdogf] A187157 5.48072 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=0,a(1)=0,a(2)=8,a(3)=92,a(4)=248} ogf] A187157 5.93063 [-(11405*f(x)+1138253)*(f(x)*x^3-4*x^4-3*f(x)*x^2+68*x^3+3*f(x)*x+8*x^2-f(x)) ogf] A187158 10.7398 [4*x^3*(11*x^2-43*x-18)/(x-1)^3 ogf] A187158 19.0326 [-(-97-64*x+11*x^2)/(x-1)/(11*x^2-43*x-18) lgdogf] A187159 14.6151 [-2*(-57-169*x+13*x^2)/(x-1)/(41*x^3-97*x^2-72*x-14) lgdogf] A187159 8.91614 [4*x^3*(41*x^3-97*x^2-72*x-14)/(x-1)^3 ogf] A187160 7.98063 [4*x^3*(125*x^4-201*x^3-186*x^2-124*x-4)/(x-1)^3 ogf] A187160 9.95498 [(136+620*x+789*x^2-500*x^3+125*x^4)/(x-1)/(125*x^4-201*x^3-186*x^2-124*x-4) lgdogf] A187161 7.31089 [4*x^4*(337*x^4-413*x^3-370*x^2-522*x-118)/(x-1)^3 ogf] A187161 9.04722 [(876+1784*x+1609*x^2-1348*x^3+337*x^4)/(x-1)/(337*x^4-413*x^3-370*x^2-522*x-118) lgdogf] A187163 11.1784 [12*x*(x+2)/(x-1)^4 ogf] A187163 36.9103 [-3*(x+3)/(x+2)/(x-1) lgdogf] A187163 4.89514 [{(4+2*n)*a(n+3)+(-10-n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=24,a(2)=108} ogf] A187163 5.58922 [(2421*f(x)+39878)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-12*x^2+f(x)-24*x) ogf] A187164 16.5347 [-(57+67*x-5*x^2+x^3)/(x-1)/(x^3-4*x^2+25*x+8) lgdogf] A187164 4.38745 [{(309*n^2+547*n)*a(n)+(1552*n^2+8848*n+7296)*a(n+1)+(-1861*n^2-2885*n-1024)*a(n+2),a(0)=0,a(1)=48} ogf] A187164 4.86865 [(34605*f(x)+2336992)*(f(x)*x^4-4*f(x)*x^3-6*x^4+6*f(x)*x^2+24*x^3-4*f(x)*x-150*x^2+f(x)-48*x) ogf] A187164 8.87813 [6*x*(x^3-4*x^2+25*x+8)/(x-1)^4 ogf] A187165 13.0492 [-(92+204*x+3*x^2+x^3)/(x-1)/(2*x^4-7*x^3+12*x^2+60*x+8) lgdogf] A187165 7.58340 [12*x*(2*x^4-7*x^3+12*x^2+60*x+8)/(x-1)^4 ogf] A187166 6.58014 [6*x*(9*x^5+4*x^4-115*x^3+360*x^2+444*x+24)/(x-1)^4 ogf] A187166 8.12797 [3*(-180-684*x-125*x^2+33*x^3-15*x^4+3*x^5)/(x-1)/(9*x^5+4*x^4-115*x^3+360*x^2+444*x+24) lgdogf] A187167 5.65384 [12*x*(8*x^6+37*x^5-110*x^4-144*x^3+1244*x^2+712*x+20)/(x-1)^4 ogf] A187168 4.87497 [6*x*(25*x^7+220*x^6+133*x^5-2240*x^4+1844*x^3+12816*x^2+4096*x+32)/(x-1)^4 ogf] A187169 4.38280 [12*x*(18*x^8+233*x^7+748*x^6-1320*x^5-6080*x^4+13272*x^3+28208*x^2+5604*x+12)/(x-1)^4 ogf] A187170 3.76139 [6*x^2*(49*x^8+836*x^7+4625*x^6+4576*x^5-32904*x^4-37336*x^3+196068*x^2+224216*x+27836)/(x-1)^4 ogf] A187173 11.4059 [4*x^3*(x+1)*(x-4)/(x-1)^3 ogf] A187173 25.1885 [-(-15-4*x+x^2)/(x-1)/(x-4)/(x+1) lgdogf] A187173 4.68102 [{(7-7*n)*a(n+1)+(-75*n^2-120*n)*a(n+2)+(75*n^2-23*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=16} ogf] A187174 14.8543 [(6+20*x+4*x^2-4*x^3+x^4)/(x-1)/(x^4+x^3-7*x^2-3*x-1) lgdogf] A187174 8.92110 [8*x^3*(x^4+x^3-7*x^2-3*x-1)/(x-1)^3 ogf] A187175 10.0735 [2*(17+46*x+30*x^2-18*x^3-3*x^4+3*x^5)/(x-1)/(x-2)/(3*x^4+15*x^3+18*x^2+12*x+2) lgdogf] A187175 7.93668 [4*x^4*(x-2)*(3*x^4+15*x^3+18*x^2+12*x+2)/(x-1)^3 ogf] A187176 6.51883 [8*x^5*(2*x^6+9*x^5+3*x^4-18*x^3-27*x^2-29*x-11)/(x-1)^3 ogf] A187176 8.13449 [(62+112*x+81*x^2+6*x^6-12*x^3-42*x^4+6*x^5)/(x-1)/(2*x^6+9*x^5+3*x^4-18*x^3-27*x^2-29*x-11) lgdogf] A187177 5.40163 [4*x^5*(5*x^8+29*x^7+43*x^6-19*x^5-85*x^4-143*x^3-136*x^2-80*x-4)/(x-1)^3 ogf] A187178 4.84182 [8*x^6*(3*x^9+21*x^8+49*x^7+28*x^6-31*x^5-117*x^4-164*x^3-179*x^2-118*x-35)/(x-1)^3 ogf] A187179 11.8911 [-(7-12*x-9*x^2+14*x^3+6*x^4)/(x-1)/(6*x^2+7*x-7)/(x^2+x-1) lgdogf] A187179 13.2855 [-(6*x^2+7*x-7)/(x-1)/(x^2+x-1) ogf] A187179 7.33468 [(35*f(x)-337)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)+7*x-7) ogf] A187179 7.49073 [{a(n+3)-2*a(n+2)+a(n),a(0)=7,a(1)=7,a(2)=8} ogf] A187180 12.2347 [-(2*f(x)-3)*(f(x)*x^5-f(x)*x^4-x^5+2*x^4-x^3-f(x)*x-x^2+f(x)-1) ogf] A187180 20.3911 [(x^5-2*x^4+x^3+x^2+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A187180 20.4067 [(-1-3*x-5*x^2-x^6+x^3-5*x^4-3*x^5+x^7)/(x-1)/(x+1)/(1+x^2)/(x^5-2*x^4+x^3+x^2+1) lgdogf] A187181 12.7103 [(x^11-x^10-x^8+x^7+x^6+x^3+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A187182 7.93277 [(x^19-x^18+x^17-2*x^16+x^15-x^14+x^13+x^12+x^9-x^7+x^6+x^4+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A187183 7.51981 [(x^29-x^28+x^27-x^26-x^24+x^23-x^22+x^21+x^20+x^15+x^10+x^5+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A187190 16.9165 [-3*(9+26*x+5*x^2)/(x-1)/(5*x^2+17*x+2) lgdogf] A187190 7.68271 [-4*x*(5*x^2+17*x+2)/(x-1)^5 ogf] A187191 12.6017 [-6*(7*x+1)*(x^2+8*x+6)/(x-1)/(14*x^3+75*x^2+30*x+1) lgdogf] A187191 6.15638 [8*x*(14*x^3+75*x^2+30*x+1)/(x-1)^6 ogf] A187192 3.44715 [-48*x^2*(14*x^3+112*x^2+99*x+15)/(x-1)^7 ogf] A187192 6.96851 [-2*(102+409*x+301*x^2+28*x^3)/(x-1)/(14*x^3+112*x^2+99*x+15) lgdogf] A187196 7.12868 [-(-2*x^10-2*x^9-4*x^8-2*x^6-4*x^5-2*x^4-4*x^2-2*x-2)/(x^12-1) ogf_with_Euler_transform] A187197 6.72132 [-(2*x^7-4*x^6+4*x^5+2*x^4-2*x^3-4*x^2+4*x-2)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A187206 15.9604 [6*(x+23)/(x-1)^2 ogf] A187206 36.7643 [-(47+x)/(x+23)/(x-1) lgdogf] A187206 8.33491 [(8*f(x)+1105)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-138) ogf] A187206 8.72257 [{-a(n+2)+2*a(n+1)-a(n),a(0)=138,a(1)=282} ogf] A187243 10.3050 [-(1+x+x^2+x^3+6*x^4+x^5+x^6+x^7+x^8+16*x^9)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A187243 12.4063 [-1/(x+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A187243 32.8462 [x^9+x^4+1 ogf_with_Euler_transform] A187246 4.17447 [{(2*n+2)*a(n)+(-3*n-8)*a(n+1)+(n+6)*a(n+2)-a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A187248 20.9222 [-1/2*(exp(2*x)*x-exp(2*x)+x+1)/(x-1) lgdegf] A187249 3.85172 [{(2*n^2+2*n)*a(n)+(-3*n^2-12*n-8)*a(n+1)+(n^2+8*n+10)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A187251 19.9511 [2*a(n)+(-n-1)*a(n+1),a(0)=1,a(1)=1 lgdegf] A187256 14.3089 [-1/2*(-1-2*x-x^2+(x^2+1)^(1/2)*(x^2+4*x+1)^(1/2))/x revogf] A187256 9.65041 [-f(x)^2*x^2+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A187260 5.23906 [f(x)*x^5+f(x)^2*x^3-3*f(x)*x^4-2*f(x)^2*x^2+3*f(x)*x^3+f(x)^2*x-3*f(x)*x^2+x^3+3*f(x)*x-f(x) ogf] A187272 15.3183 [2*x*(x+1)*(2*x+1)/(2*x^2-1)^2 ogf] A187272 20.0697 [-(3+12*x+18*x^2+8*x^3)/(2*x+1)/(x+1)/(2*x^2-1) lgdogf] A187272 8.12537 [{(2*n+6)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=2,a(2)=6} ogf] A187272 9.63317 [(2*f(x)+1)*(4*f(x)*x^4-4*f(x)*x^2-4*x^3-6*x^2+f(x)-2*x) ogf] A187273 15.6085 [3*x*(x+1)*(3*x+1)/(3*x^2-1)^2 ogf] A187273 20.3594 [-2*(2+9*x+18*x^2+9*x^3)/(3*x+1)/(x+1)/(3*x^2-1) lgdogf] A187273 8.34247 [{(-3*n-9)*a(n+1)+(n+1)*a(n+3),a(0)=0,a(1)=3,a(2)=12} ogf] A187273 9.48751 [-(8*f(x)+7)*(9*f(x)*x^4-6*f(x)*x^2-9*x^3-12*x^2+f(x)-3*x) ogf] A187274 14.0407 [4*x*(x+1)*(4*x+1)/(2*x-1)^2/(2*x+1)^2 ogf] A187274 16.4465 [-(5+24*x+60*x^2+32*x^3)/(4*x+1)/(2*x+1)/(-1+2*x)/(x+1) lgdogf] A187274 7.68037 [{(4*n+12)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=4,a(2)=20} ogf] A187274 8.47738 [-(10*f(x)+13)*(16*f(x)*x^4-8*f(x)*x^2-16*x^3-20*x^2+f(x)-4*x) ogf] A187275 13.5246 [5*x*(x+1)*(5*x+1)/(5*x^2-1)^2 ogf] A187275 17.7306 [-2*(3+15*x+45*x^2+25*x^3)/(1+5*x)/(x+1)/(5*x^2-1) lgdogf] A187275 7.51368 [{(-5*n-15)*a(n+1)+(n+1)*a(n+3),a(0)=0,a(1)=5,a(2)=30} ogf] A187275 8.37239 [-(4*f(x)+7)*(25*f(x)*x^4-10*f(x)*x^2-25*x^3-30*x^2+f(x)-5*x) ogf] A187277 13.8671 [-(x^2-12*x-1)/(x-1)^4 ogf] A187277 27.2992 [-2*(-8-17*x+x^2)/(x-1)/(x^2-12*x-1) lgdogf] A187277 4.75832 [{(-n-4)*a(n+4)+(-17-11*n)*a(n+3)+(60+13*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=16,a(2)=57,a(3)=136} ogf] A187277 6.7881 [(1510920*f(x)+13276711)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-12*x-1) ogf] A187287 11.7965 [4*x*(x^2-3*x-2)/(x-1)^3 ogf] A187287 24.7511 [-(-9-4*x+x^2)/(x-1)/(x^2-3*x-2) lgdogf] A187287 5.85389 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=8,a(2)=36,a(3)=80} ogf] A187287 6.22855 [-(524*f(x)-7175)*(f(x)*x^3-3*f(x)*x^2-4*x^3+3*f(x)*x+12*x^2-f(x)+8*x) ogf] A187288 12.8225 [(27+56*x+10*x^2-12*x^3+3*x^4)/(x-1)/(3*x^4-x^3-7*x^2-21*x-2) lgdogf] A187288 9.28974 [4*x*(3*x^4-x^3-7*x^2-21*x-2)/(x-1)^3 ogf] A187289 6.91965 [4*x*(5*x^6+5*x^5+15*x^4-43*x^3-104*x^2-66*x-2)/(x-1)^3 ogf] A187289 7.60951 [(72+340*x+233*x^2+15*x^6-60*x^3-10*x^4-20*x^5)/(x-1)/(5*x^6+5*x^5+15*x^4-43*x^3-104*x^2-66*x-2) lgdogf] A187290 6.03710 [4*x^2*(7*x^7+15*x^6+64*x^5+24*x^4-78*x^3-518*x^2-604*x-180)/(x-1)^3 ogf] A187291 4.61364 [4*x^2*(9*x^9+29*x^8+144*x^7+228*x^6+384*x^5-356*x^4-1844*x^3-3834*x^2-2776*x-360)/(x-1)^3 ogf] A187292 3.83911 [4*x^2*(11*x^11+47*x^10+261*x^9+637*x^8+1604*x^7+1716*x^6+280*x^5-7392*x^4-17964*x^3-23120*x^2-10184*x-576)/(x-1)^3 ogf] A187297 12.6759 [2*x*(x^2-3*x-2)/(x-1)^3 ogf] A187297 26.2059 [-(-9-4*x+x^2)/(x-1)/(x^2-3*x-2) lgdogf] A187297 6.19498 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=4,a(2)=18,a(3)=40} ogf] A187297 6.59145 [-(1048*f(x)-7175)*(f(x)*x^3-3*f(x)*x^2-2*x^3+3*f(x)*x+6*x^2-f(x)+4*x) ogf] A187298 12.6599 [(18+26*x+13*x^2-12*x^3+3*x^4)/(x-1)/(3*x^4-5*x^3+2*x^2-15*x-1) lgdogf] A187298 9.59186 [2*x*(3*x^4-5*x^3+2*x^2-15*x-1)/(x-1)^3 ogf] A187299 8.01120 [2*x^2*(5*x^5-7*x^4+15*x^3-27*x^2-17*x-27)/(x-1)^3 ogf] A187299 9.94597 [2*(49+44*x-9*x^2+14*x^3-16*x^4+5*x^5)/(x-1)/(5*x^5-7*x^4+15*x^3-27*x^2-17*x-27) lgdogf] A187300 6.30102 [2*x^2*(7*x^7-9*x^6+38*x^5-50*x^4+33*x^3-115*x^2-73*x-45)/(x-1)^3 ogf] A187301 5.16710 [2*x^2*(9*x^9-11*x^8+69*x^7-75*x^6+151*x^5-235*x^4-5*x^3-393*x^2-226*x-72)/(x-1)^3 ogf] A187302 4.36275 [2*x^2*(11*x^11-13*x^10+108*x^9-104*x^8+369*x^7-393*x^6+368*x^5-904*x^4-400*x^3-1242*x^2-522*x-54)/(x-1)^3 ogf] A187303 3.78440 [2*x^2*(13*x^13-15*x^12+155*x^11-137*x^10+705*x^9-579*x^8+1337*x^7-1607*x^6+196*x^5-3148*x^4-2401*x^3-3455*x^2-906*x-36)/(x-1)^3 ogf] A187306 3.87200 [{(3*n+9)*a(n+1)+(5*n+18)*a(n+2)+(n+3)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=2} ogf] A187306 7.98854 [-f(x)^2*x^4-2*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2+f(x)-1 ogf] A187306 8.04957 [-(-I*x-I+2*(3*x-1)^(1/2)*x*(x+1)^(1/2)+(3*x-1)^(1/2)*(x+1)^(1/2))/(3*x-1)^(1/2)/x/(x+1)^(3/2) lgdogf] A187307 17.2843 [-(2-2*x-3*x^2-x^3+x^4)/(x^2-x+1)/(x^3-x^2-1) lgdogf] A187307 4.8417 [(54*f(x)+53)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-1) ogf] A187307 8.95381 [-(x^3-x^2-1)/(x^2-x+1)^2 ogf] A187309 3.82213 [-(2592*x^7+324*x^6-2718*x^5+477*x^4+210*x^3+252*x^2-2*x-210)/(81*x^8-90*x^6+27*x^5+6*x^4+6*x^3-x^2-7*x+1) ogf] A187318 15.0977 [x*(2*x^4+2*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A187321 14.1170 [-(1+5*x+3*x^2+7*x^3+2*x^4+6*x^5)/(x-1)/(x+1)/(2*x^2+1)/(x^2+1) lgdogf] A187321 14.4891 [x^2*(2*x^2+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A187321 9.93073 [f(x)*x^5-f(x)*x^4-2*x^4-f(x)*x-x^2+f(x) ogf] A187322 14.5648 [x^2*(2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A187322 29.1436 [-(3+7*x+5*x^2+13*x^3+6*x^4+6*x^5)/(x-1)/(x+1)/(x^2+1)/(2*x^2+x+2) lgdogf] A187323 20.5842 [x^2*(3*x^4+3*x^3+4*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A187324 11.5188 [x^2*(x^4+x^3+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A187325 4.98952 [x^2*(2*x^4+3*x^3+3*x^2+2*x+1)*(2*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A187326 15.5594 [x^2*(3*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A187326 16.3821 [-(3+9*x+6*x^2+14*x^3+7*x^4+9*x^5)/(x-1)/(x+1)/(x^2+1)/(3*x^2+x+2) lgdogf] A187327 21.6368 [-(2+4*x+12*x^2+7*x^6+6*x^3+11*x^4+9*x^5+9*x^7)/(x-1)/(3*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A187327 24.2904 [x^2*(3*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A187331 13.0173 [x*(4*x^3+2*x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A187331 21.2618 [-2*(2+4*x+9*x^2+4*x^6+7*x^3+9*x^4+5*x^5)/(x-1)/(x+1)/(x^2+1)/(4*x^3+2*x^2+3*x+1) lgdogf] A187332 8.84253 [(x^2+1)*(x^4+x^3+x+2)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A187333 12.6355 [-(2+4*x+9*x^2+6*x^6+5*x^3+10*x^4+8*x^5+6*x^7)/(x-1)/(2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1) lgdogf] A187333 14.0608 [2*x^2*(2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A187334 20.9674 [x*(5*x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A187335 11.9087 [(x^10+x^9+x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A187336 21.8434 [x^2*(5*x^4+2*x^3+2*x^2+3*x+3)/(x^2-x+1)/(x^2+x+1)/(x+1)/(x-1)^2 ogf] A187337 18.3506 [3*x^2*(2*x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A187340 16.8717 [-(2+4*x-3*x^2-7*x^3+x^4)/(x^2-x+1)/(x^3-4*x^2-1) lgdogf] A187340 5.16882 [(72*f(x)-313)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+x^3-2*f(x)*x-4*x^2+f(x)-1) ogf] A187340 9.62958 [-(x^3-4*x^2-1)/(x^2-x+1)^2 ogf] A187357 5.83038 [{(-576*n^3-2592*n^2-3824*n-1848)*a(n+1)+(9*n^3+54*n^2+107*n+70)*a(n+2),a(0)=1,a(1)=5} ogf] A187358 5.23289 [{(576*n^3+3168*n^2+5744*n+3432)*a(n+1)+(-9*n^3-63*n^2-146*n-112)*a(n+2),a(0)=1,a(1)=14} ogf] A187359 25.0618 [-x*(-1+2*x)*(6*x-1)^3*(3*x-1)^3/(4*x-1)^2 revogf] A187359 6.79425 [{(576*n^3+3744*n^2+8048*n+5720)*a(n+1)+(-9*n^3-72*n^2-191*n-168)*a(n+2),a(0)=1,a(1)=21} ogf] A187361 16.3463 [(2*x-1)/(x^2+14*x-1) ogf] A187361 20.5540 [-2*(x+2)*(x-3)/(-1+2*x)/(x^2+14*x-1) lgdogf] A187361 8.17314 [-(85*f(x)-13)*(f(x)*x^2+14*f(x)*x-f(x)-2*x+1) ogf] A187361 8.95152 [{-a(n+2)+14*a(n+1)+a(n),a(0)=1,a(1)=12} ogf] A187362 16.7370 [-(x+2)/(x^2+14*x-1) ogf] A187362 23.6850 [-(29+4*x+x^2)/(x+2)/(x^2+14*x-1) lgdogf] A187362 8.6506 [(410*f(x)+21)*(f(x)*x^2+14*f(x)*x-f(x)+x+2) ogf] A187362 9.16551 [{a(n+2)-14*a(n+1)-a(n),a(0)=2,a(1)=29} ogf] A187364 4.28657 [{(576*n^3+3168*n^2+5744*n+3432)*a(n+1)+(-9*n^3-54*n^2-107*n-70)*a(n+2),a(0)=1,a(1)=35} ogf] A187365 4.29480 [{(-576*n^3-3744*n^2-8048*n-5720)*a(n+1)+(9*n^3+63*n^2+146*n+112)*a(n+2),a(0)=1,a(1)=42} ogf] A187366 3.84368 [{(-576*n^3-4320*n^2-10736*n-8840)*a(n+1)+(9*n^3+72*n^2+191*n+168)*a(n+2),a(0)=5,a(1)=231} ogf] A187378 10.2797 [2*x*(x^3-12*x^2-14*x-2)/(x-1)^3 ogf] A187378 18.5344 [(20+52*x+9*x^2)/(x-1)/(x^3-12*x^2-14*x-2) lgdogf] A187378 5.20930 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=4,a(2)=40,a(3)=132,a(4)=278} ogf] A187378 5.354 [-(23827365*f(x)+942086384)*(f(x)*x^3-2*x^4-3*f(x)*x^2+24*x^3+3*f(x)*x+28*x^2-f(x)+4*x) ogf] A187379 16.4463 [2*(94+111*x+2*x^2)/(x-1)/(13*x^3-43*x^2-68*x-40) lgdogf] A187379 9.83701 [x^2*(13*x^3-43*x^2-68*x-40)/(x-1)^3 ogf] A187380 10.4946 [(132+304*x+179*x^2-88*x^3+22*x^4)/(x-1)/(22*x^4-41*x^3-56*x^2-96*x-12) lgdogf] A187380 8.06292 [2*x^2*(22*x^4-41*x^3-56*x^2-96*x-12)/(x-1)^3 ogf] A187381 6.98490 [x^2*(129*x^5-167*x^4-148*x^3-500*x^2-270*x-18)/(x-1)^3 ogf] A187381 7.65295 [2*(162+770*x+472*x^2+334*x^3-406*x^4+129*x^5)/(x-1)/(129*x^5-167*x^4-148*x^3-500*x^2-270*x-18) lgdogf] A187382 6.82652 [2*x^3*(171*x^5-168*x^4-48*x^3-586*x^2-464*x-202)/(x-1)^3 ogf] A187382 7.50830 [(1070+2100*x+730*x^2+672*x^3-1023*x^4+342*x^5)/(x-1)/(171*x^5-168*x^4-48*x^3-586*x^2-464*x-202) lgdogf] A187383 6.19721 [x^3*(865*x^6-687*x^5+364*x^4-2772*x^3-2160*x^2-2040*x-340)/(x-1)^3 ogf] A187384 5.42209 [2*x^3*(1048*x^7-691*x^6+1108*x^5-3300*x^4-2202*x^3-3258*x^2-1476*x-140)/(x-1)^3 ogf] A187392 11.1891 [(2*x^10+x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A187427 14.3787 [-(x^2-3*x-3)/(x^3-1) ogf_with_Euler_transform] A187428 15.0654 [-(-x^2-4*x-4)/(-x^3+1) ogf_with_Euler_transform] A187430 37.0403 [x*(x-1)^2/(x^2-x+1)^2 revogf] A187452 15.8921 [-(7+20*x+19*x^2+4*x^3)/(x-1)/(x+1)/(x^2+3*x+1) lgdogf] A187452 9.80374 [-4*x*(x^2+3*x+1)/(x+1)/(x-1)^5 ogf] A187466 11.9925 [-(5*x^4+3*x^3+4*x^2+9*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A187468 10.9140 [2*(1-8*x+64*x^2-192*x^3+128*x^4)/(-1+2*x)/(4*x-1)/(32*x^3-4*x+1) lgdogf] A187468 13.1736 [(32*x^3-4*x+1)/(4*x-1)/(2*x-1) ogf] A187468 6.18584 [{a(n+4)-6*a(n+3)+8*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=40} ogf] A187468 7.56778 [(f(x)-1)*(8*f(x)*x^2-32*x^3-6*f(x)*x+f(x)+4*x-1) ogf] A187484 5.60504 [(x^32-x^30+x^26-x^24+x^14+x^13+x^12+x^9+2*x^8+x^5+2*x^4+x+1)/(x+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A187495 5.38082 [x^3*(x^7-x^5-x^4-x^2-x-1)/(x^2+x+1)/(x^9+3*x^6-1) ogf] A187496 5.80590 [(x^7-x^5-x^4-x^2-x-1)/(x^2+x+1)/(x^9+3*x^6-1) ogf] A187497 9.28119 [-x*(x^7-x^6+x^4+x^2+1)/(x^9+3*x^6-1) ogf] A187498 5.01925 [-x^2*(x+1)*(x^6+3*x^4+2*x^2+1)/(x^2+x+1)/(x^9+3*x^6-1) ogf] A187499 8.87524 [-x^4*(x-1)*(x^6+x^5-x^3+x^2+x+1)/(3*x^9-3*x^3+1) ogf] A187500 7.05861 [-(x^11-x^9+x^8-x^7+x^6-x^5+2*x^3-1)/(3*x^9-3*x^3+1) ogf] A187501 9.55038 [-x*(x-1)*(x^6+x^5-x^3+x^2+x+1)/(3*x^9-3*x^3+1) ogf] A187502 6.79042 [x^2*(x^9-x^7-x^5-x^4-2*x^3+x^2+x+1)/(3*x^9-3*x^3+1) ogf] A187503 6.07899 [-x^5*(x^5-2*x^4+2*x^3-x^2-1)/(x^2-x+1)/(x^9-3*x^3+1) ogf] A187504 4.52490 [-(x-1)*(x^8-x^7+x^6-x^5+2*x^4-2*x^3+x^2+1)/(x^2-x+1)/(x^9-3*x^3+1) ogf] A187505 9.64025 [-x*(x-1)*(x^4+2*x^2+x+1)/(x^9-3*x^3+1) ogf] A187506 6.21024 [-x^2*(x^5-2*x^4+2*x^3-x^2-1)/(x^2-x+1)/(x^9-3*x^3+1) ogf] A187508 11.9105 [x*(x^2-13*x-6)/(x-1)^3 ogf] A187508 22.7884 [-(-31-24*x+x^2)/(x-1)/(x^2-13*x-6) lgdogf] A187508 5.91046 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=6,a(2)=31,a(3)=74} ogf] A187508 6.28873 [(76788*f(x)-555775)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+13*x^2-f(x)+6*x) ogf] A187509 10.8642 [x*(3*x^3-13*x^2-30*x-2)/(x-1)^3 ogf] A187509 17.8578 [2*(18+43*x+2*x^2)/(x-1)/(3*x^3-13*x^2-30*x-2) lgdogf] A187509 5.50549 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=2,a(2)=36,a(3)=115,a(4)=236} ogf] A187509 5.54294 [-(567381780*f(x)+25510030207)*(f(x)*x^3-3*x^4-3*f(x)*x^2+13*x^3+3*f(x)*x+30*x^2-f(x)+2*x) ogf] A187510 16.6392 [-2*(-92-67*x+6*x^2)/(x-1)/(5*x^3-3*x^2-64*x-40) lgdogf] A187510 9.99266 [x^2*(5*x^3-3*x^2-64*x-40)/(x-1)^3 ogf] A187511 10.9921 [(272+456*x+31*x^2-28*x^3+7*x^4)/(x-1)/(7*x^4+11*x^3-64*x^2-164*x-36) lgdogf] A187511 8.38536 [x^2*(7*x^4+11*x^3-64*x^2-164*x-36)/(x-1)^3 ogf] A187512 7.39513 [x^2*(x+1)*(9*x^4+20*x^3-44*x^2-250*x-20)/(x-1)^3 ogf] A187512 8.82412 [2*(165+564*x+183*x^2-58*x^3-8*x^4+9*x^5)/(x-1)/(x+1)/(9*x^4+20*x^3-44*x^2-250*x-20) lgdogf] A187513 6.60795 [x^2*(11*x^6+51*x^5+50*x^4-308*x^3-776*x^2-354*x-12)/(x-1)^3 ogf] A187514 5.96965 [x^2*(13*x^7+77*x^6+164*x^5-164*x^4-1250*x^3-1540*x^2-432*x-6)/(x-1)^3 ogf] A187515 5.47292 [x^3*(15*x^7+107*x^6+324*x^5+172*x^4-1366*x^3-3386*x^2-2674*x-398)/(x-1)^3 ogf] A187532 8.43734 [-(5*x^8+6*x^7+11*x^6+17*x^5+9*x^4+7*x^3+16*x^2+4*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A187535 4.95625 [{(16*n^2+16*n+4)*a(n)+(-n-1)*a(n+1),a(0)=1,a(1)=2} ogf] A187536 3.54891 [{(-16*n^2-80*n-100)*a(n+1)+(16*n^2+81*n+103)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=39} ogf] A187538 4.16840 [{(-16*n^2-80*n-100)*a(n+1)+(-16*n^2-79*n-97)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=35} ogf] A187541 9.35748 [x*(4*x^6+x^5+12*x^4+16*x^3+12*x^2+x+4)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A187560 12.3563 [(4*x^2+x-2)/(x-1)/(2*x-1)/(4*x-1) ogf] A187560 6.33134 [-(107*f(x)-7594)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-4*x^2-f(x)-x+2) ogf] A187560 6.66168 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=2,a(1)=13,a(2)=59} ogf] A187560 7.77034 [-(-13+64*x-90*x^2+16*x^3+32*x^4)/(x-1)/(-1+2*x)/(4*x-1)/(4*x^2+x-2) lgdogf] A187587 10.7223 [x*(7*x^3-49*x^2-69*x-5)/(x-1)^3 ogf] A187587 17.6246 [4*(21+59*x+7*x^2)/(x-1)/(7*x^3-49*x^2-69*x-5) lgdogf] A187587 5.43362 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=5,a(2)=84,a(3)=286,a(4)=604} ogf] A187587 5.47058 [(72773824090*f(x)+8301671104363)*(f(x)*x^3-7*x^4-3*f(x)*x^2+49*x^3+3*f(x)*x+69*x^2-f(x)+5*x) ogf] A187588 14.1517 [-(-289-328*x+11*x^2)/(x-1)/(15*x^3-34*x^2-130*x-53) lgdogf] A187588 8.78129 [2*x^2*(15*x^3-34*x^2-130*x-53)/(x-1)^3 ogf] A187589 8.03858 [x^2*(93*x^4-41*x^3-619*x^2-757*x-104)/(x-1)^3 ogf] A187589 9.74389 [(1069+2752*x+742*x^2-372*x^3+93*x^4)/(x-1)/(93*x^4-41*x^3-619*x^2-757*x-104) lgdogf] A187590 6.86670 [2*x^2*(129*x^5+95*x^4-576*x^3-1388*x^2-737*x-39)/(x-1)^3 ogf] A187590 7.58131 [2*(427+2125*x+1558*x^2-190*x^3-275*x^4+129*x^5)/(x-1)/(129*x^5+95*x^4-576*x^3-1388*x^2-737*x-39) lgdogf] A187591 6.23313 [x^2*(663*x^6+1095*x^5-1481*x^4-7443*x^3-8231*x^2-2207*x-34)/(x-1)^3 ogf] A187592 5.41806 [x^2*(1634*x^7+3976*x^6+286*x^5-16432*x^4-29715*x^3-18915*x^2-2753*x-13)/(x-1)^3 ogf] A187593 5.06971 [x^3*(3889*x^7+12207*x^6+10953*x^5-28587*x^4-85546*x^3-90876*x^2-36636*x-3108)/(x-1)^3 ogf] A187594 26.1031 [-x*(-1+2*x)/(1-4*x)^(3/2) revogf] A187601 6.27390 [x*(x^6+x^5+x^4-x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A187607 10.0150 [x^2*(5*x^3-19*x^2-9*x-9)/(x-1)^3 ogf] A187607 18.8707 [4*(9+14*x+x^2)/(x-1)/(5*x^3-19*x^2-9*x-9) lgdogf] A187607 4.33985 [{(36*n^2-11*n-25)*a(n+1)+(-4*n^2+174*n-20)*a(n+2)+(-32*n^2-27*n+5)*a(n+3),a(0)=0,a(1)=0,a(2)=9} ogf] A187608 11.4060 [(144+104*x+169*x^2-116*x^3+29*x^4)/(x-1)/(29*x^4-59*x^3+8*x^2-60*x-28) lgdogf] A187608 9.01271 [x^3*(29*x^4-59*x^3+8*x^2-60*x-28)/(x-1)^3 ogf] A187609 6.73387 [x^3*(97*x^6-159*x^5+80*x^4-156*x^3-134*x^2-106*x-8)/(x-1)^3 ogf] A187610 5.97253 [x^4*(277*x^7-403*x^6+312*x^5-243*x^4-546*x^3-238*x^2-423*x-96)/(x-1)^3 ogf] A187611 5.28954 [x^4*(729*x^9-983*x^8+960*x^7-1907*x^5-213*x^4-1522*x^3-1232*x^2-472*x-48)/(x-1)^3 ogf] A187612 4.31441 [x^5*(1809*x^10-2319*x^9+2608*x^8+1689*x^7-6086*x^6+1503*x^5-4759*x^4-4897*x^3-3028*x^2-2358*x-474)/(x-1)^3 ogf] A187620 4.00672 [(x^7-8*x^6-36*x^5-337*x^4-267*x^3-78*x^2+6*x-1)/(x+1)/(x-1)^7 ogf] A187638 3.81440 [{(256*n^3-256*n)*a(n)+(-32*n^3-96*n^2-80*n-8)*a(n+1)+(n^3+6*n^2+12*n+8)*a(n+2),a(0)=1,a(1)=1} ogf] A187673 16.4068 [-(10+26*x+9*x^2)/(x-1)/(3*x^2+5*x+1) lgdogf] A187673 7.65040 [-(3*x^2+5*x+1)/(x-1)^5 ogf] A187693 12.6785 [-x^2*(3*x^2-4*x-1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A187693 14.4155 [-(-11+29*x+25*x^2-87*x^3+36*x^4)/(x-1)/(3*x-1)/(-1+2*x)/(3*x^2-4*x-1) lgdogf] A187693 5.24398 [{(-6*n-18)*a(n)+(11*n+27)*a(n+1)+(-6*n-13)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=11} ogf] A187693 6.67732 [-(7222*f(x)+19547)*(6*f(x)*x^4-17*f(x)*x^3+3*x^4+17*f(x)*x^2-4*x^3-7*f(x)*x-x^2+f(x)) ogf] A187695 8.14766 [-x^4*(x+1)*(19*x^2-12*x-1)/(4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A187709 10.5020 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=1,a(1)=8} ogf] A187709 18.9493 [-(2*x-1)/(9*x-1)/(x-1) ogf] A187709 22.0288 [-2*(4-9*x+9*x^2)/(x-1)/(-1+2*x)/(9*x-1) lgdogf] A187709 9.57876 [-(31*f(x)+1)*(9*f(x)*x^2-10*f(x)*x+f(x)+2*x-1) ogf] A187710 13.0197 [-2*(5*x^2-9*x+5)/(x-1)^3 ogf] A187710 24.0474 [-(6-8*x+5*x^2)/(x-1)/(5*x^2-9*x+5) lgdogf] A187710 7.24574 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=12,a(2)=16} ogf] A187710 9.05718 [-f(x)*x^3+3*f(x)*x^2-3*f(x)*x-10*x^2+f(x)+18*x-10 ogf] A187715 10.3562 [(5*x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A187715 12.8419 [-(5+17*x+13*x^2+5*x^3)/(x-1)/(x+1)/(5*x^2+4*x+1) lgdogf] A187715 5.49327 [(110*f(x)-501)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-4*x-1) ogf] A187715 5.59050 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A187721 3.76715 [(2*x^10+2*x^9-13*x^8-16*x^7+11*x^6+47*x^5+35*x^4-16*x^3-50*x^2-43*x-16)/(x^10+3*x^9-7*x^7-10*x^6-2*x^5+8*x^4+10*x^3+5*x^2-1) ogf] A187732 14.7816 [x/(x^4-13*x^3+36*x^2-13*x+1) ogf] A187732 16.0463 [-(-13+72*x-39*x^2+4*x^3)/(36*x^2+1-13*x+x^4-13*x^3) lgdogf] A187732 6.31886 [-(111098*f(x)+435)*(f(x)*x^4-13*f(x)*x^3+36*f(x)*x^2-13*f(x)*x+f(x)-x) ogf] A187734 17.0816 [2*x/(4*x^3-6*x^2-x+1) ogf] A187734 6.92496 [{-a(n+3)+a(n+2)+6*a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A187734 7.46282 [-(f(x)+2)*(4*f(x)*x^3-6*f(x)*x^2-f(x)*x+f(x)-2*x) ogf] A187735 14.3950 [-(x-1)/(2*x-1)^2 egf] A187735 3.83300 [{(-2*n^2-8*n-8)*a(n+1)+(-2*n^2-13*n-21)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=3,a(2)=16} ogf] A187735 7.6209 [(4*f(x)+5)*(4*f(x)*x^2-4*f(x)*x+f(x)+x-1) egf] A187738 13.1697 [1/2*(3*x^2-4*x+2)/(3*x-1)^2 egf] A187738 3.79231 [{(-3*n^2-3*n)*a(n)+(n+3)*a(n+1)+(3*n^2+21*n+34)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=33} ogf] A187738 7.62455 [(7+9*f(x))*(18*f(x)*x^2-12*f(x)*x-3*x^2+2*f(x)+4*x-2) egf] A187739 13.2232 [-1/2*(3*x^2+2*x-2)/(3*x-1)^2 egf] A187739 3.61829 [{(6*n^2+6*n)*a(n)+(9*n^2+34*n+33)*a(n+1)+(3*n^2+18*n+29)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=39} ogf] A187739 9.96269 [-18*f(x)*x^2+12*f(x)*x-3*x^2-2*f(x)-2*x+2 egf] A187740 13.0583 [1/2*(15*x^2-8*x+2)/(5*x-1)^2 egf] A187740 3.58463 [{(15*n^2+15*n)*a(n)+(10*n^2+37*n+25)*a(n+1)+(-5*n^2-37*n-60)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=6,a(2)=85} ogf] A187740 7.16926 [(5075*f(x)+5293)*(50*f(x)*x^2-20*f(x)*x-15*x^2+2*f(x)+8*x-2) egf] A187753 4.94894 [(x^9-x^8+x^7-4*x^6+x^5-3*x^4-x^3-2*x^2-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^5 ogf] A187756 4.49458 [{(-2*n^2-9*n-10)*a(n+1)+(4*n^2+16*n+32)*a(n+2)+(-2*n^2-7*n-6)*a(n+3),a(0)=0,a(1)=1,a(2)=20} ogf] A187756 8.55420 [-x*(x+1)*(x^2+14*x+1)/(x-1)^5 ogf] A187830 4.71997 [{(-n-7)*a(n+1)+(n+7)*a(n+2)-a(n+4)+2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A187851 11.5549 [(38+112*x+39*x^2-12*x^3+3*x^4)/(x-1)/(3*x^4-4*x^3-27*x^2-29*x-3) lgdogf] A187851 8.52476 [8*x*(3*x^4-4*x^3-27*x^2-29*x-3)/(x-1)^3 ogf] A187852 6.28614 [4*x*(24*x^6+66*x^5-64*x^4-567*x^3-873*x^2-332*x-6)/(x-1)^3 ogf] A187853 5.05362 [8*x^2*(37*x^7+217*x^6+419*x^5-237*x^4-2616*x^3-5462*x^2-4224*x-666)/(x-1)^3 ogf] A187854 3.88217 [4*x^2*(200*x^9+1750*x^8+6286*x^7+10396*x^6-708*x^5-46297*x^4-117405*x^3-142484*x^2-61170*x-4008)/(x-1)^3 ogf] A187858 11.6634 [(81+184*x+188*x^2-92*x^3+23*x^4)/(x-1)/(23*x^4-57*x^3-17*x^2-75*x-2) lgdogf] A187858 9.46089 [x*(23*x^4-57*x^3-17*x^2-75*x-2)/(x-1)^3 ogf] A187859 6.98555 [x^2*(141*x^5-247*x^4+146*x^3-498*x^2-320*x-216)/(x-1)^3 ogf] A187859 7.72798 [2*(484+818*x+30*x^2+494*x^3-476*x^4+141*x^5)/(x-1)/(141*x^5-247*x^4+146*x^3-498*x^2-320*x-216) lgdogf] A187860 5.61684 [x^2*(655*x^7-977*x^6+1488*x^5-2508*x^4-352*x^3-3484*x^2-1862*x-486)/(x-1)^3 ogf] A187861 4.52481 [x^2*(2685*x^9-3655*x^8+8800*x^7-10073*x^6+3232*x^5-17172*x^4-11461*x^3-20704*x^2-7394*x-846)/(x-1)^3 ogf] A187890 15.3670 [-x*(5*x-4)/(x-1)/(x^2+x-1) ogf] A187890 17.2574 [-(3-12*x^2+10*x^3)/(-4+5*x)/(x-1)/(x^2+x-1) lgdogf] A187890 8.09657 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=4,a(2)=3} ogf] A187890 8.36645 [(3*f(x)+16)*(f(x)*x^3-2*f(x)*x+5*x^2+f(x)-4*x) ogf] A187891 15.8124 [-x*(6*x-5)/(x-1)/(x^2+x-1) ogf] A187891 17.7650 [-(4-15*x^2+12*x^3)/(x-1)/(-5+6*x)/(x^2+x-1) lgdogf] A187891 8.24262 [-(4*f(x)+25)*(f(x)*x^3-2*f(x)*x+6*x^2+f(x)-5*x) ogf] A187891 8.33126 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=5,a(2)=4} ogf] A187892 16.1836 [-x*(7*x-6)/(x-1)/(x^2+x-1) ogf] A187892 18.1880 [-(5-18*x^2+14*x^3)/(-6+7*x)/(x-1)/(x^2+x-1) lgdogf] A187892 8.4361 [-(5*f(x)+36)*(f(x)*x^3-2*f(x)*x+7*x^2+f(x)-6*x) ogf] A187892 8.52683 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=6,a(2)=5} ogf] A187893 14.3271 [-(4-8*x+5*x^2-4*x^3+4*x^4)/(x-1)/(4*x^2-2*x-1)/(x^2+x-1) lgdogf] A187893 15.4146 [-(4*x^2-2*x-1)/(x-1)/(x^2+x-1) ogf] A187893 8.69121 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=4,a(2)=4} ogf] A187893 8.78467 [(f(x)+7)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)-2*x-1) ogf] A187915 12.9628 [-(x^3+x^2-x-3)/(x^2+2*x-1)^2 ogf] A187915 20.9419 [-(x+1)*(x^3-x^2+x-13)/(x^2+2*x-1)/(x^3+x^2-x-3) lgdogf] A187915 6.93147 [(82285*f(x)+8207)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x+x^2+f(x)-x-3) ogf] A187917 12.9769 [x*(2*x+3)/(x^2+2*x-1)^2 ogf] A187917 23.1471 [-2*(7+8*x+3*x^2)/(2*x+3)/(x^2+2*x-1) lgdogf] A187917 4.23868 [{(9+3*n)*a(n+4)+(-22-4*n)*a(n+3)+(-23-7*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=3,a(2)=14,a(3)=50} ogf] A187917 6.20218 [-(10850*f(x)+1621)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-3*x) ogf] A187919 13.2567 [-4*(-8+70*x^2+123*x^3+90*x^4+27*x^5)/(6*x^2+8*x+3)/(9*x^2+6*x-1)/(x^2+2*x-1) lgdogf] A187919 14.5769 [(6*x^2+8*x+3)/(9*x^2+6*x-1)/(x^2+2*x-1) ogf] A187919 7.13555 [(27924809*f(x)+2795685)*(9*f(x)*x^4+24*f(x)*x^3+2*f(x)*x^2-8*f(x)*x-6*x^2+f(x)-8*x-3) ogf] A187956 3.01883 [-32*(8748*x^7+5346*x^6-81*x^5-432*x^4-255*x^3+6*x^2-12*x-8)/(9*x^2+4*x-1)/(729*x^6-36*x^3-1) ogf] A187990 5.33602 [(2658*f(x)+4229401)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+30*x^3-4*f(x)*x-115*x^2+f(x)+151*x-67) ogf] A187992 3.40762 [-(890*x^4-3963*x^3+6683*x^2-5061*x+1452)/(x-1)^5 ogf] A188021 14.1988 [x^2/(x-1)/(x^3+3*x^2-1) ogf] A188021 18.1798 [-(-1-6*x+6*x^2+4*x^3)/(x-1)/(x^3+3*x^2-1) lgdogf] A188021 6.21933 [(3*f(x)+1)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x-x^2+f(x)) ogf] A188022 14.6045 [-x*(x+1)/(x^3+3*x^2-1) ogf] A188022 19.0822 [-(1+6*x+6*x^2+2*x^3)/(x+1)/(x^3+3*x^2-1) lgdogf] A188022 8.32301 [-(f(x)+1)*(f(x)*x^3+3*f(x)*x^2+x^2-f(x)+x) ogf] A188022 8.32301 [{a(n+3)-3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A188048 14.4693 [(x-1)*(x+1)/(x^3+3*x^2-1) ogf] A188048 18.4420 [-x*(-4-3*x+x^3)/(x-1)/(x+1)/(x^3+3*x^2-1) lgdogf] A188048 7.98826 [-(105*f(x)-41)*(f(x)*x^3+3*f(x)*x^2-x^2-f(x)+1) ogf] A188048 8.24595 [{a(n+3)-3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A188050 10.7722 [20*x*(x+1)/(x-1)^4 ogf] A188050 34.0881 [[5-x] ogf_with_Euler_transform] A188050 35.5535 [-(5+3*x)/(x-1)/(x+1) lgdogf] A188050 5.30688 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=20,a(2)=100} ogf] A188050 5.46769 [(536*f(x)+8965)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-20*x^2+f(x)-20*x) ogf] A188067 14.3477 [-(1+12*x+10*x^2+12*x^3+5*x^4)/(x-1)/(x+1)/(x^3+2*x^2+x+1) lgdogf] A188067 9.27735 [x^2*(x^3+2*x^2+x+1)/(x-1)^4/(x+1)^4 ogf] A188123 8.71627 [-(3+13*x+26*x^2+19*x^6+44*x^3+44*x^4+34*x^5+9*x^7)/(x-1)/(x+1)/(1+x+x^2)/(3*x^4+x^3+2*x^2+x+1) lgdogf] A188123 8.97467 [(3*x^4+x^3+2*x^2+x+1)/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A188124 5.78457 [-2*x*(2*x^6+x^5+4*x^4+5*x^3+5*x^2+4*x+2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A188128 4.88448 [(37*f(x)+95)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-x^3-2*f(x)*x+6*x^2+f(x)+6*x-4) ogf] A188128 8.64623 [-(-2-12*x+15*x^2+x^6+8*x^3-21*x^4-12*x^5)/(x+1)/(x^3-3*x+1)/(x^3-6*x^2-6*x+4) lgdogf] A188128 8.81744 [(x^3-6*x^2-6*x+4)/(x+1)/(x^3-3*x+1) ogf] A188129 13.2417 [-(17-156*x+500*x^2-624*x^3+272*x^4)/(x-1)/(-1+2*x)/(4*x-1)/(34*x^2-39*x+8) lgdogf] A188129 15.5212 [-(34*x^2-39*x+8)/(x-1)/(2*x-1)/(4*x-1) ogf] A188129 8.07603 [-(189*f(x)+1868)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+34*x^2-f(x)-39*x+8) ogf] A188129 8.63786 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=8,a(1)=17,a(2)=41} ogf] A188134 8.59155 [x*(4*x^6+2*x^5+12*x^4+x^3+12*x^2+2*x+4)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A188135 11.9321 [-(x+1)*(7*x+1)/(x-1)^3 ogf] A188135 19.8057 [-(11+30*x+7*x^2)/(x-1)/(7*x+1)/(x+1) lgdogf] A188135 6.11647 [(13408*f(x)-73533)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+8*x+1) ogf] A188135 6.38474 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=37} ogf] A188146 13.5964 [-(3+2*x+15*x^2+2*x^6+19*x^3+4*x^4+9*x^5)/(x-1)/(1+x+x^2)/(x^4+3*x^3+x^2+3*x+1) lgdogf] A188146 14.7699 [(x^4+3*x^3+x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A188148 12.3094 [4*x*(x^2-5*x-2)/(x-1)^3 ogf] A188148 25.0355 [-(-11-8*x+x^2)/(x-1)/(x^2-5*x-2) lgdogf] A188148 6.06283 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=8,a(2)=44,a(3)=104} ogf] A188148 6.55177 [-(73*f(x)-1035)*(f(x)*x^3-3*f(x)*x^2-4*x^3+3*f(x)*x+20*x^2-f(x)+8*x) ogf] A188149 10.4764 [8*x*(x^3-2*x^2-7*x-1)/(x-1)^3 ogf] A188149 19.8632 [-(-10-18*x+x^2)/(x-1)/(x^3-2*x^2-7*x-1) lgdogf] A188149 5.30899 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=0,a(1)=8,a(2)=80,a(3)=232,a(4)=456} ogf] A188149 5.57256 [-(424035*f(x)+65671496)*(f(x)*x^3-8*x^4-3*f(x)*x^2+16*x^3+3*f(x)*x+56*x^2-f(x)+8*x) ogf] A188150 17.5266 [-6*(2*x+3)*(x-6)/(x-1)/(3*x^3+3*x^2-30*x-26) lgdogf] A188150 4.20781 [{(-13*n^2-14*n+27)*a(n+1)+(-19*n^2-134*n-108)*a(n+2)+(32*n^2+58*n+26)*a(n+3),a(0)=0,a(1)=0,a(2)=104} ogf] A188150 9.37884 [4*x^2*(3*x^3+3*x^2-30*x-26)/(x-1)^3 ogf] A188151 11.5549 [(100+128*x-9*x^2-8*x^3+2*x^4)/(x-1)/(2*x^4+7*x^3-12*x^2-52*x-16) lgdogf] A188151 8.11548 [8*x^2*(2*x^4+7*x^3-12*x^2-52*x-16)/(x-1)^3 ogf] A188152 7.29238 [4*x^2*(5*x^5+29*x^4+18*x^3-186*x^2-228*x-28)/(x-1)^3 ogf] A188152 8.85788 [2*(156+414*x+66*x^2-58*x^3+2*x^4+5*x^5)/(x-1)/(5*x^5+29*x^4+18*x^3-186*x^2-228*x-28) lgdogf] A188153 6.33394 [8*x^2*(x+2)*(3*x^5+18*x^4+15*x^3-111*x^2-99*x-7)/(x-1)^3 ogf] A188153 7.50315 [(247+1052*x+564*x^2+9*x^6-204*x^3-69*x^4+30*x^5)/(x+2)/(x-1)/(3*x^5+18*x^4+15*x^3-111*x^2-99*x-7) lgdogf] A188154 5.83233 [4*x^2*(7*x^7+71*x^6+240*x^5+72*x^4-1028*x^3-1680*x^2-630*x-10)/(x-1)^3 ogf] A188155 5.13956 [8*x^3*(4*x^7+49*x^6+222*x^5+314*x^4-440*x^3-1890*x^2-1864*x-462)/(x-1)^3 ogf] A188161 14.7158 [-(14*x-5)/(4*x-1)/(x-1) ogf] A188161 16.6053 [-(11-40*x+56*x^2)/(14*x-5)/(x-1)/(4*x-1) lgdogf] A188161 7.35789 [-(15*f(x)+46)*(4*f(x)*x^2-5*f(x)*x+f(x)+14*x-5) ogf] A188161 8.15572 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=5,a(1)=11} ogf] A188162 4.62262 [x*(8*x^5-24*x^4+32*x^3-19*x^2-x+1)/(x-1)/(4*x-1)/(x+1)/(2*x-1)^3 ogf] A188165 16.1435 [-(19*x-10)/(2*x-1)/(x-1) ogf] A188165 17.7323 [-(11-40*x+38*x^2)/(19*x-10)/(x-1)/(-1+2*x) lgdogf] A188165 8.52519 [(7*f(x)-191)*(2*f(x)*x^2-3*f(x)*x+f(x)+19*x-10) ogf] A188165 9.03265 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=10,a(1)=11} ogf] A188167 11.7928 [x*(2*x^6+x^5+6*x^4+8*x^3+6*x^2+x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A188168 15.3987 [(4*x-1)/(5*x^2+5*x-1) ogf] A188168 17.4462 [-(-1-10*x+20*x^2)/(4*x-1)/(5*x^2+5*x-1) lgdogf] A188168 7.78589 [(105*f(x)-104)*(5*f(x)*x^2+5*f(x)*x-f(x)-4*x+1) ogf] A188168 8.45052 [{-a(n+2)+5*a(n+1)+5*a(n),a(0)=1,a(1)=1} ogf] A188182 7.42951 [-(x^5-3*x^4+3*x^3-3*x^2+3*x-5)/(x^2+x+1)/(x-1)^4 ogf] A188182 8.63782 [-(-12-12*x-21*x^2-3*x^6+3*x^3-7*x^4+3*x^5+x^7)/(x-1)/(1+x+x^2)/(x^5-3*x^4+3*x^3-3*x^2+3*x-5) lgdogf] A188183 4.78987 [-(3*x^10-5*x^9-2*x^8+3*x^7+2*x^6+7*x^5+2*x^4+7*x^3+9*x^2+8*x+12)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A188187 5.99024 [-(x^71+x^28-x^27+x^24-x^23+x^20-x^19+x^16+x^11+x^7+x^3)/(-x^68-x^12-x^8-x^4-1) ogf_with_Euler_transform] A188212 6.99451 [-(8*x^5-21*x^4+16*x^3-10*x^2+21*x-18)/(x^2+x+1)/(x-1)^4 ogf] A188223 12.1789 [-(1+4*x+2*x^2+4*x^6+2*x^3+4*x^4+2*x^5+2*x^7)/(x^3+x^2+1)/(x^5+x^4+x^2+x-1) lgdogf] A188223 12.5464 [-(x^3+x^2+1)/(x^5+x^4+x^2+x-1) ogf] A188225 28.9699 [-(-31+15*x)/(x-1)/(x-2) lgdogf] A188225 4.38183 [{(2*n+6)*a(n+3)+(-37-3*n)*a(n+2)+(16+n)*a(n+1),a(0)=2,a(1)=31,a(2)=256} ogf] A188237 7.05641 [-(7*x^5-19*x^4+15*x^3-7*x^2+15*x-15)/(x^2+x+1)/(x-1)^4 ogf] A188238 4.52967 [-(22*x^10-37*x^9-13*x^8+20*x^7+7*x^6+44*x^5-31*x^4-10*x^3-17*x^2+3*x+58)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A188270 5.09088 [-(x^12-2*x^11+2*x^9-x^8-x^7+x^6-x^5+x^4-2*x^3+3*x^2-x-1)/(x+1)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^4 ogf] A188289 4.00708 [-4*f(x)^2*x^4-15*f(x)^2*x^3-16*f(x)^2*x^2-4*f(x)*x^3-3*f(x)^2*x-15*f(x)*x^2+2*f(x)^2-8*f(x)*x-x^2+3*f(x)-6*x ogf] A188312 10.7008 [-f(x)^2*x^2-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A188312 20.2694 [1/2/x*(-x^2-1+(x^4+6*x^2+1-4*x^3)^(1/2)) revogf] A188314 13.0787 [f(x)^2*x+f(x)*x^2-f(x)+x+1 ogf] A188314 23.8464 [1/2/(x+1)*(-1+(1-4*x^3+4*x)^(1/2)) revogf] A188334 7.67548 [-(3*x^6-5*x^5-2*x^4+3*x^3+3*x^2-10)/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A188335 4.56803 [-2*(7*x^10-12*x^9-4*x^8+7*x^7+2*x^6+14*x^5-9*x^4-2*x^3-3*x^2+3*x+20)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A188365 15.1979 [(1-2*x+2*x^2)/(1-3*x+x^2)^2 lgdegf] A188377 10.4173 [-(2*x^3-7*x^2+6*x-7)/(x-1)^4 ogf] A188377 16.4016 [-2*(-11+2*x-4*x^2+x^3)/(x-1)/(2*x^3-7*x^2+6*x-7) lgdogf] A188377 4.11349 [{(325*n^2+2081*n+2862)*a(n+1)+(-344*n^2-936*n+516)*a(n+2)+(19*n^2-227*n-852)*a(n+3),a(0)=7,a(1)=22,a(2)=53} ogf] A188377 5.53194 [(12042*f(x)+75037)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-7*x^2+f(x)+6*x-7) ogf] A188378 15.1450 [(3*x-2)/(x-1)/(x^2-3*x+1) ogf] A188378 16.1036 [-(-5+16*x-18*x^2+6*x^3)/(3*x-2)/(x-1)/(1-3*x+x^2) lgdogf] A188378 7.10339 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=12} ogf] A188378 7.79303 [(5*f(x)+2)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)-3*x+2) ogf] A188386 7.09709 [-(x^5-x^4-2*x^3+14*x^2+13*x+11)/(x-1)^3/(x+1)^3 ogf] A188386 7.87872 [-(13+94*x+59*x^2+x^6+52*x^3-x^4-2*x^5)/(x-1)/(x+1)/(x^5-x^4-2*x^3+14*x^2+13*x+11) lgdogf] A188430 5.24246 [-(x^21-3*x^17+2*x^15+x^13+3*x^11-x^10-8*x^9+x^8+7*x^7-x^6-5*x^5+2*x^4+x^3-x^2+x-1)/(x+1)/(x-1)^2 ogf] A188441 3.06293 [{(-27*n^2-135*n-168)*a(n+1)+(28*n^2+141*n+177)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=7,a(2)=97} ogf] A188442 11.4105 [1/2/(4*x^2+1+2*x)*(-1-x-2*x^2+((5*x^2+2*x+1)*(2*x+1)^2)^(1/2)) revogf] A188442 6.13378 [-4*f(x)^2*x^2-2*f(x)^2*x-2*f(x)*x^2+f(x)^2-f(x)*x-x^2+f(x)-x ogf] A188444 5.70438 [(x+1)*(x^2+x+1)*(x^6-x^5+x^4-4*x^3+x^2-x+1)/(x^4+1)^3 ogf] A188464 7.99729 [f(x)^2*x^4+f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+1 ogf] A188475 10.2907 [-(x^3-5*x^2+x-1)/(x-1)^4 ogf] A188475 18.9618 [-(-3-7*x-7*x^2+x^3)/(x-1)/(x^3-5*x^2+x-1) lgdogf] A188475 4.30645 [{(23*n^2+130*n+168)*a(n+1)+(-28*n^2-89*n-30)*a(n+2)+(5*n^2+13*n-6)*a(n+3),a(0)=1,a(1)=3,a(2)=11} ogf] A188475 5.6599 [(64*f(x)+167)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)+x-1) ogf] A188477 4.29554 [(x^2+x+1)*(x^8+8*x^7-14*x^4-8*x^3+1)/(x^4+1)^3 ogf] A188480 12.9818 [-(10+18*x-21*x^2+3*x^4)/(x-1)/(3*x^4-6*x^3-x^2+5*x+1) lgdogf] A188480 7.39337 [-(3*x^4-6*x^3-x^2+5*x+1)/(x-1)^5 ogf] A188482 4.9606 [-4*f(x)^2*x^4-15*f(x)^2*x^3-8*f(x)^2*x^2+7*f(x)^2*x-4*f(x)*x^2-f(x)^2-7*f(x)*x+2*f(x)-1 ogf] A188491 3.80305 [-x*(x^3+2*x^2+x+1)*(x^3+x^2-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188492 4.40021 [2*x^2*(x+1)^2/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188494 4.06272 [x*(x^6+x^5-x^4-x^3-x^2+x+1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188495 4.40956 [-x*(x+1)*(x^6+x^5-x^4-x^3-x^2-x+1)/(x-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188496 4.91444 [2*x^2*(x+1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188497 4.16075 [-x^2*(x^9+2*x^8-2*x^4-2*x^3-5*x^2+2)/(x-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188498 3.94975 [-x*(x+1)*(x^8+x^7-2*x^4-2*x^2-x+1)/(x-1)/(x^13+3*x^12+3*x^11+5*x^10+9*x^9+7*x^8-3*x^7-19*x^6-21*x^5-13*x^4-3*x^3-3*x^2-x+1) ogf] A188501 6.05385 [-(x^5+2*x^4-x^3-5*x^2-4*x-4)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A188510 15.1966 [-f(x)*x^4+x^3-f(x)+x ogf] A188510 16.5474 [x*(x^2+1)/(x^4+1) ogf] A188510 20.0838 [x*(x^6-2*x^2+1) ogf_with_Euler_transform] A188510 31.2480 [-2*x*(-1+2*x^2+x^4)/(x^2+1)/(1+x^4) lgdogf] A188510 8.65853 [{a(n+4)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=1} ogf] A188511 11.2338 [x^2*(x^8+x^7+x^6+x^4+x^3+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A188512 14.2194 [-(x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A188516 6.29899 [-(x^5-2*x^4-4*x^3+7*x^2-4)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A188526 13.3401 [-7*(9*x-4)/(9*x-1)/(2*x-1) ogf] A188526 14.2642 [-(35-144*x+162*x^2)/(9*x-4)/(-1+2*x)/(-1+9*x) lgdogf] A188526 6.28524 [-(303676*f(x)+2001447)*(18*f(x)*x^2-11*f(x)*x+f(x)+63*x-28) ogf] A188526 7.51340 [{a(n+2)-11*a(n+1)+18*a(n),a(0)=28,a(1)=245} ogf] A188527 15.9999 [-(9*x-4)/(9*x-1)/(2*x-1) ogf] A188527 16.4404 [-(35-144*x+162*x^2)/(9*x-4)/(-1+2*x)/(-1+9*x) lgdogf] A188527 7.91576 [-(241*f(x)+261)*(18*f(x)*x^2-11*f(x)*x+f(x)+9*x-4) ogf] A188527 8.84701 [{a(n+2)-11*a(n+1)+18*a(n),a(0)=4,a(1)=35} ogf] A188530 3.86169 [-(593739*f(x)-3904630)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-12*x^2-f(x)+7*x+2) ogf] A188530 4.26116 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=2,a(1)=21,a(2)=107} ogf] A188530 6.79313 [-(-21+80*x-34*x^2-112*x^3+96*x^4)/(x-1)/(4*x-1)/(-1+2*x)/(12*x^2-7*x-2) lgdogf] A188530 7.84595 [(12*x^2-7*x-2)/(x-1)/(2*x-1)/(4*x-1) ogf] A188538 7.22734 [-2*(1-4*x+6*x^2+2*x^6-5*x^3+8*x^4-9*x^5)/(x-1)/(x^2+x-1)/(2*x^4-6*x^3+2*x^2+2*x-1) lgdogf] A188538 8.69727 [-(2*x^4-6*x^3+2*x^2+2*x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A188551 10.9064 [(x+1)*(x^2+1)*(x^2-x+1)*(x^3-x-1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A188554 10.6406 [-(2*x^3-8*x^2+9*x-4)/(x-1)^4 ogf] A188554 16.4085 [-(-7+11*x-10*x^2+2*x^3)/(x-1)/(2*x^3-8*x^2+9*x-4) lgdogf] A188554 4.31226 [{(2*n+4)*a(n+1)+(-3*n+1)*a(n+2)+(n-2)*a(n+3),a(0)=4,a(1)=7,a(2)=12,a(3)=20,a(4)=32,a(5)=49} ogf] A188554 5.98051 [(4*f(x)+5)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-8*x^2+f(x)+9*x-4) ogf] A188555 11.8950 [-(9-22*x+27*x^2-12*x^3+3*x^4)/(x-1)/(3*x^4-12*x^3+21*x^2-16*x+5) lgdogf] A188555 3.80459 [{(2*n+4)*a(n+1)+(-3*n+3)*a(n+2)+(n-3)*a(n+3),a(0)=5,a(1)=9,a(2)=16,a(3)=28,a(4)=48,a(5)=80,a(6)=129} ogf] A188555 7.91976 [-(3*x^4-12*x^3+21*x^2-16*x+5)/(x-1)^5 ogf] A188556 6.61665 [-(3*x^5-18*x^4+39*x^3-44*x^2+25*x-6)/(x-1)^6 ogf] A188556 9.41226 [-(-11+37*x-59*x^2+45*x^3-21*x^4+3*x^5)/(x-1)/(3*x^5-18*x^4+39*x^3-44*x^2+25*x-6) lgdogf] A188557 5.61596 [-(4*x^6-24*x^5+66*x^4-96*x^3+80*x^2-36*x+7)/(x-1)^7 ogf] A188557 7.77058 [-(13-56*x+112*x^2+4*x^6-120*x^3+78*x^4-24*x^5)/(x-1)/(4*x^6-24*x^5+66*x^4-96*x^3+80*x^2-36*x+7) lgdogf] A188558 4.85442 [-(4*x^7-32*x^6+102*x^5-184*x^4+200*x^3-132*x^2+49*x-8)/(x-1)^8 ogf] A188559 4.06938 [-(5*x^8-40*x^7+150*x^6-320*x^5+430*x^4-372*x^3+203*x^2-64*x+9)/(x-1)^9 ogf] A188570 5.26841 [(60*f(x)+113)*(8*f(x)*x^4-16*f(x)*x^3+4*f(x)*x^2+4*x^3+4*f(x)*x-2*x^2-f(x)-3*x+1) ogf] A188570 9.52368 [-(x-1)*(4*x^2+2*x-1)/(8*x^4-16*x^3+4*x^2+4*x-1) ogf] A188571 5.40603 [(48*f(x)-1)*(8*f(x)*x^4-16*f(x)*x^3+4*f(x)*x^2+2*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A188571 9.86235 [-x*(2*x^2-2*x+1)/(8*x^4-16*x^3+4*x^2+4*x-1) ogf] A188572 10.9591 [x*(2*x-1)/(8*x^4-16*x^3+4*x^2+4*x-1) ogf] A188572 5.69526 [(10*f(x)+1)*(8*f(x)*x^4-16*f(x)*x^3+4*f(x)*x^2+4*f(x)*x-2*x^2-f(x)+x) ogf] A188573 10.1001 [2*x^2*(x-1)/(8*x^4-16*x^3+4*x^2+4*x-1) ogf] A188573 5.43851 [(7*f(x)+2)*(8*f(x)*x^4-16*f(x)*x^3+4*f(x)*x^2-2*x^3+4*f(x)*x+2*x^2-f(x)) ogf] A188578 15.2336 [x^14-x^2*(x^3+x^2+1) ogf_with_Euler_transform] A188578 8.20698 [(x^2-x+1)*(x^2+x+1)*(x+1)*(x-1)^2/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A188580 12.1135 [-(x^4+x^3+x^2+x+1)/(4*x^4+4*x^3+4*x^2+4*x-1) ogf] A188580 15.3988 [-5*(1+2*x+3*x^2+4*x^3)/(x^4+x^3+x^2+x+1)/(4*x^4+4*x^3+4*x^2+4*x-1) lgdogf] A188580 7.10104 [(f(x)-1)*(4*f(x)*x^4+4*f(x)*x^3+x^4+4*f(x)*x^2+x^3+4*f(x)*x+x^2-f(x)+x+1) ogf] A188588 11.0564 [1/2*(2*x^3-3*x^2+2)/(x-1)^2 egf] A188588 15.8471 [2*(x-2)*(x^2-x+1)/(x-1)/(2*x^3-3*x^2+2) lgdegf] A188588 3.11988 [{(3*n^2+9*n)*a(n+1)-3*n*a(n+2)+(-n^2-9*n-20)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=12} ogf] A188588 6.43078 [(f(x)+11)*(2*f(x)*x^2-2*x^3-4*f(x)*x+3*x^2+2*f(x)-2) egf] A188589 10.0531 [(3*x^3-6*x^2+3*x-1)/(2*x-1)/(x-1)^2 ogf] A188589 12.3624 [-(1+3*x-9*x^2+3*x^3)/(x-1)/(-1+2*x)/(3*x^3-6*x^2+3*x-1) lgdogf] A188589 5.21553 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=5,a(3)=14} ogf] A188589 5.46193 [-(126*f(x)-401)*(2*f(x)*x^3-5*f(x)*x^2-3*x^3+4*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A188599 12.1244 [-25*f(x)*x^2+6*f(x)*x-f(x)+x ogf] A188599 21.3961 [x/(25*x^2-6*x+1) ogf] A188599 24.8517 [-2*(-3+25*x)/(25*x^2+1-6*x) lgdogf] A188599 8.87155 [{a(n+2)-6*a(n+1)+25*a(n),a(0)=0,a(1)=1} ogf] A188622 11.8576 [-(3-10*x+4*x^2)/(x-1)/(-1+2*x)/(4*x-1) lgdogf] A188622 3.62907 [{(-n-4)*a(n+4)+(24+7*n)*a(n+3)+(-38-14*n)*a(n+2)+(12+8*n)*a(n+1),a(0)=1,a(1)=3,a(2)=10,a(3)=34} ogf] A188622 7.71654 [16*f(x)^2*x^3-20*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+x^2-2*x+1 ogf] A188623 13.6247 [(x^2-x+1)*(x^2-x-1)/(x^2+x+1)/(x-1)^3 ogf] A188623 17.8400 [-(-2-9*x^2+x^6+2*x^3+x^4-2*x^5)/(x-1)/(1+x+x^2)/(x^2-x+1)/(x^2-x-1) lgdogf] A188626 10.0485 [-(-3+13*x-21*x^2+11*x^3+2*x^4)/(x-1)/(-1+2*x)/(x^3+2*x^2-3*x+1) lgdogf] A188626 4.61801 [(4*f(x)-49)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-x^3-6*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A188626 8.18382 [(x^3+2*x^2-3*x+1)/(2*x-1)^2/(x-1)^2 ogf] A188643 10.8132 [-(x^23-x^22+x^12-x^11+x^4-x^3+2*x^2+7*x-10)/(x-1)^2 ogf] A188652 13.9227 [-x*(x^3+x^2-3*x-1)/(x-1)^2/(x+1)^3 ogf] A188652 28.1959 [-2*(-1-5*x^2+x^3+x^4)/(x-1)/(x+1)/(x^3+x^2-3*x-1) lgdogf] A188653 11.2754 [(26*f(x)+99)*(f(x)*x^4+2*f(x)*x^3-x^3-2*f(x)*x-x^2-f(x)+3*x+1) ogf] A188653 19.7729 [(x^3+x^2-3*x-1)/(x-1)/(x+1)^3 ogf] A188653 32.0597 [-(-1+4*x-8*x^2+x^4)/(x-1)/(x+1)/(x^3+x^2-3*x-1) lgdogf] A188653 5.83047 [{(-n^2-5*n-6)*a(n+1)+(-4*n^2-30*n-54)*a(n+2)+(n^2+11*n+28)*a(n+3)+(4*n^2+24*n+32)*a(n+4),a(0)=1,a(1)=1,a(2)=-3,a(3)=7} ogf] A188662 3.72365 [{(729*n^4+4374*n^3+9801*n^2+9720*n+3600)*a(n+1)+(-16*n^4-112*n^3-292*n^2-336*n-144)*a(n+2),a(0)=1,a(1)=9} ogf] A188667 22.2126 [-(-7-6*x+3*x^2)/(x-1)/(x^2-2*x-1) lgdogf] A188667 3.93744 [{(-117*n^2-789*n-1110)*a(n+1)+(176*n^2+529*n-609)*a(n+2)+(-59*n^2+28*n+87)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A188667 8.50849 [3*x^2*(x^2-2*x-1)/(x-1)^5 ogf] A188670 7.46157 [-(3*x^8+6*x^7+3*x^6+2*x^5+6*x^4+3*x^3-5*x^2-6*x-3)/(x-1)/(x^2+x+1)/(x^6+x^3-1) ogf] A188675 3.17476 [{(27*n^2+135*n+168)*a(n+1)+(-31*n^2-157*n-198)*a(n+2)+(4*n^2+22*n+30)*a(n+3),a(0)=1,a(1)=4,a(2)=19} ogf] A188675 4.53192 [27*f(x)^3*x^4-85*f(x)^3*x^3+93*f(x)^3*x^2-39*f(x)^3*x+4*f(x)^3+3*f(x)*x-3*f(x)-1 ogf] A188676 3.14220 [{(27*n^2+135*n+168)*a(n+1)+(23*n^2+113*n+138)*a(n+2)+(-4*n^2-22*n-30)*a(n+3),a(0)=1,a(1)=2,a(2)=13} ogf] A188676 4.48544 [27*f(x)^3*x^4+77*f(x)^3*x^3+69*f(x)^3*x^2+15*f(x)^3*x-4*f(x)^3+3*f(x)*x+3*f(x)+1 ogf] A188678 3.37277 [{(27*n^2+135*n+168)*a(n+1)+(23*n^2+109*n+126)*a(n+2)+(-4*n^2-26*n-42)*a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A188678 5.5218 [f(x)^3*x^4+3*f(x)^3*x^3+3*f(x)^3*x^2+f(x)^3*x-f(x)*x-f(x)+1 ogf] A188681 3.43223 [{(-729*n^4-4374*n^3-9801*n^2-9720*n-3600)*a(n+1)+(16*n^4+128*n^3+380*n^2+496*n+240)*a(n+2),a(0)=1,a(1)=3} ogf] A188686 5.59975 [-31*f(x)^3*x^3+66*f(x)^3*x^2-39*f(x)^3*x+4*f(x)^3+3*f(x)*x-3*f(x)-1 ogf] A188687 17.4462 [1/2/(1+x+x^3)*(1+2*x^2+(1-4*x)^(1/2))*x revogf] A188687 7.29415 [-f(x)^3*x^3+2*f(x)^3*x^2-f(x)^3*x-f(x)*x+f(x)-1 ogf] A188696 13.1283 [-2*(-13-26*x^2+4*x^3-13*x^4+2*x^5)/(x^2+1)/(2*x^4-26*x^3+x^2-26*x+1) lgdogf] A188696 13.5031 [(x^2+1)/(2*x^4-26*x^3+x^2-26*x+1) ogf] A188696 6.80234 [-(168*f(x)+1)*(2*f(x)*x^4-26*f(x)*x^3+f(x)*x^2-26*f(x)*x-x^2+f(x)-1) ogf] A188697 12.3990 [-2*(-13-52*x^2+8*x^3-52*x^4+8*x^5)/(2*x^2+1)/(4*x^4-52*x^3+2*x^2-26*x+1) lgdogf] A188697 13.5031 [(2*x^2+1)/(4*x^4-52*x^3+2*x^2-26*x+1) ogf] A188697 6.80234 [-(168*f(x)+1)*(4*f(x)*x^4-52*f(x)*x^3+2*f(x)*x^2-26*f(x)*x-2*x^2+f(x)-1) ogf] A188700 6.60454 [-(x^4+2*x^3-5*x^2-13*x-8)/(x+1)/(x^4-6*x^2-2*x+1) ogf] A188701 3.89445 [-(x^7-4*x^6-9*x^5+20*x^4+43*x^3-12*x^2-39*x-16)/(x+1)/(x^2-2*x-1)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) ogf] A188707 13.5319 [-(4*x-5)/(3*x^2-5*x+1) ogf] A188707 15.2967 [-3*(7-10*x+4*x^2)/(4*x-5)/(3*x^2-5*x+1) lgdogf] A188707 6.6916 [-(25*f(x)+22)*(3*f(x)*x^2-5*f(x)*x+f(x)+4*x-5) ogf] A188707 7.33657 [{a(n+2)-5*a(n+1)+3*a(n),a(0)=5,a(1)=21} ogf] A188708 4.93559 [(210061*f(x)+24538)*(4*f(x)*x^3-12*f(x)*x^2+8*f(x)*x+8*x^2-f(x)-15*x+8) ogf] A188708 5.19088 [{a(n+3)-8*a(n+2)+12*a(n+1)-4*a(n),a(0)=8,a(1)=49,a(2)=304} ogf] A188708 8.43084 [-(49-176*x+212*x^2-120*x^3+32*x^4)/(8*x^2-15*x+8)/(4*x^3-12*x^2+8*x-1) lgdogf] A188708 9.55781 [-(8*x^2-15*x+8)/(4*x^3-12*x^2+8*x-1) ogf] A188709 3.19889 [(24489245864836*f(x)-22050398116095)*(5*f(x)*x^4-29*f(x)*x^3-4*x^4+36*f(x)*x^2+33*x^3-13*f(x)*x-49*x^2+f(x)+49*x-13) ogf] A188709 6.18916 [(4*x^4-33*x^3+49*x^2-49*x+13)/(x-1)/(5*x^3-24*x^2+12*x-1) ogf] A188710 4.29752 [(189*x^5-553*x^4+400*x^3-388*x^2+153*x-21)/(36*x^5-157*x^4+217*x^3-112*x^2+21*x-1) ogf] A188714 15.1329 [-(x^2+1)*(x+1)/(3*x^3+3*x^2+3*x-1) ogf] A188714 20.6113 [-4*(1+2*x+3*x^2)/(x+1)/(x^2+1)/(3*x^3+3*x^2+3*x-1) lgdogf] A188714 7.79231 [{-a(n+4)+3*a(n+3)+3*a(n+2)+3*a(n+1),a(0)=1,a(1)=4,a(2)=16,a(3)=64} ogf] A188714 8.77452 [(f(x)-1)*(3*f(x)*x^3+3*f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)+x+1) ogf] A188716 12.7215 [-(8*x^3-11*x^2+5*x-1)/(2*x-1)^2/(x-1)^2 ogf] A188716 16.1836 [-(1-x+6*x^2-20*x^3+16*x^4)/(x-1)/(-1+2*x)/(8*x^3-11*x^2+5*x-1) lgdogf] A188716 6.83033 [-(122*f(x)-2331)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+8*x^3-6*f(x)*x-11*x^2+f(x)+5*x-1) ogf] A188748 5.13922 [-(12*x^5+36*x^4+8*x^3-12*x^2-7*x-7)/(12*x^6+30*x^5-10*x^4-11*x^3+2*x^2-6*x+1) ogf] A188765 10.9644 [-(x^6+2*x^5+3*x^4+2*x^3+x^2+x+1)/(x^7+2*x^6+2*x^5+x^4+x^2+x-1) ogf] A188778 13.8393 [-2*(19+46*x+35*x^2+10*x^3)/(x-1)/(x+1)/(5*x^2+10*x+7) lgdogf] A188778 8.41518 [-4*x^2*(5*x^2+10*x+7)/(x+1)/(x-1)^5 ogf] A188779 5.31595 [8*x^2*(14*x^4+43*x^3+63*x^2+29*x+3)/(x+1)^2/(x-1)^6 ogf] A188779 8.46251 [-(41+266*x+584*x^2+606*x^3+271*x^4+56*x^5)/(x-1)/(x+1)/(14*x^4+43*x^3+63*x^2+29*x+3) lgdogf] A188780 3.85930 [-8*x^2*(84*x^6+357*x^5+829*x^4+790*x^3+394*x^2+69*x+1)/(x+1)^3/(x-1)^7 ogf] A188785 22.1063 [-3*(x+9)*(x+1)/(x-1)/(x^2+7*x+4) lgdogf] A188785 3.51816 [{(12+4*n)*a(n+4)+(-21+3*n)*a(n+3)+(-36-6*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=64,a(2)=432,a(3)=1536} ogf] A188785 8.24947 [-16*x*(x^2+7*x+4)/(x-1)^5 ogf] A188786 11.1542 [-(-243-526*x-66*x^2-6*x^3+x^4)/(x-1)/(x^4-5*x^3-17*x^2-123*x-24) lgdogf] A188786 6.82991 [8*x*(x^4-5*x^3-17*x^2-123*x-24)/(x-1)^5 ogf] A188787 5.64738 [16*x*(4*x^5-19*x^4+35*x^3-194*x^2-378*x-36)/(x-1)^5 ogf] A188787 8.67416 [-(-558-1900*x-477*x^2-6*x^3+x^4)/(x-1)/(4*x^5-19*x^4+35*x^3-194*x^2-378*x-36) lgdogf] A188788 4.83718 [8*x*(27*x^6-23*x^5-305*x^4+877*x^3-4506*x^2-3966*x-192)/(x-1)^5 ogf] A188789 4.14850 [16*x*(32*x^7+137*x^6-697*x^5+228*x^4+1656*x^3-19368*x^2-9600*x-264)/(x-1)^5 ogf] A188790 3.71107 [8*x*(125*x^8+1231*x^7-227*x^6-15865*x^5+30306*x^4-27786*x^3-280740*x^2-87276*x-1248)/(x-1)^5 ogf] A188793 9.32121 [(8*x^5+16*x^4+2*x^3-9*x^2-6*x-1)/(x+1)/(3*x^2-1) ogf] A188802 13.3667 [(x^2+1)/(x^4+2*x^3-2*x+1) ogf] A188802 14.7063 [-2*(-1-x+4*x^2+2*x^3+x^4+x^5)/(x^2+1)/(x^4+2*x^3-2*x+1) lgdogf] A188802 6.74251 [-(15*f(x)+22)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A188805 17.6926 [-1/(x^2+3*x+1) egf] A188805 29.9153 [-(3+2*x)/(x^2+1+3*x) lgdegf] A188805 4.08290 [{(n^2+5*n+6)*a(n+1)+(3*n+9)*a(n+2)+a(n+3),a(0)=-1,a(1)=3,a(2)=-16} ogf] A188805 7.20809 [(7*f(x)-2)*(f(x)*x^2+3*f(x)*x+f(x)+1) egf] A188819 11.8188 [-(x^3-2*x^2+9*x+8)/(x+1)/(x-1)^3 ogf] A188819 14.0383 [-(25+46*x+26*x^2-2*x^3+x^4)/(x-1)/(x+1)/(x^3-2*x^2+9*x+8) lgdogf] A188819 6.32171 [-(584*f(x)-11137)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-2*x^2-f(x)+9*x+8) ogf] A188820 5.12134 [-(2060192*f(x)-1328986871)*(f(x)*x^4-2*f(x)*x^3-16*x^4+41*x^3+2*f(x)*x+94*x^2-f(x)+105*x+32) ogf] A188820 9.37884 [(16*x^4-41*x^3-94*x^2-105*x-32)/(x+1)/(x-1)^3 ogf] A188820 9.92070 [(169+526*x+626*x^2+206*x^3+9*x^4)/(x-1)/(x+1)/(16*x^4-41*x^3-94*x^2-105*x-32) lgdogf] A188821 10.0477 [(441+828*x+390*x^2-164*x^3+41*x^4)/(x-1)/(41*x^4-75*x^3-165*x^2-249*x-64) lgdogf] A188821 5.15578 [(93301*f(x)+72635254)*(f(x)*x^3-41*x^4-3*f(x)*x^2+75*x^3+3*f(x)*x+165*x^2-f(x)+249*x+64) ogf] A188821 8.89986 [(41*x^4-75*x^3-165*x^2-249*x-64)/(x-1)^3 ogf] A188822 6.80312 [4*(36*x^6-8*x^5-72*x^4-329*x^3-394*x^2-225*x-32)/(x+1)/(x-1)^3 ogf] A188823 6.42848 [(337*x^6-163*x^5-108*x^4-2388*x^3-3357*x^2-2257*x-256)/(x-1)^3 ogf] A188825 14.4492 [-3*f(x)*x+f(x)+8*x-8 ogf] A188825 17.5734 [8*(x-1)/(3*x-1) ogf] A188825 42.4892 [2/(3*x-1)/(x-1) lgdogf] A188825 8.90704 [{a(n+2)-3*a(n+1),a(0)=8,a(1)=16} ogf] A188826 5.17715 [(7*x^6-39*x^5-5*x^4+128*x^3-74*x^2-23*x+16)/(x^3-6*x^2+5*x-1)/(x^3+x^2-2*x-1) ogf] A188827 4.32787 [-(287*f(x)-4814)*(4*f(x)*x^4-8*f(x)*x^3-80*x^4+176*x^3+4*f(x)*x-24*x^2-f(x)-92*x+32) ogf] A188827 6.27098 [(9-12*x-36*x^2+16*x^6+64*x^3+12*x^4-48*x^5)/(2*x^2-1)/(2*x^2-4*x+1)/(20*x^4-44*x^3+6*x^2+23*x-8) lgdogf] A188827 7.40429 [4*(20*x^4-44*x^3+6*x^2+23*x-8)/(2*x^2-1)/(2*x^2-4*x+1) ogf] A188829 4.34789 [-(725*f(x)-67824)*(25*f(x)*x^4-25*f(x)*x^3-2720*x^4+2864*x^3+5*f(x)*x-96*x^2-f(x)-576*x+128) ogf] A188829 6.80468 [(4-12*x-33*x^2+225*x^6+130*x^3-300*x^5)/(5*x^2-1)/(5*x^2-5*x+1)/(170*x^4-179*x^3+6*x^2+36*x-8) lgdogf] A188829 7.24647 [16*(170*x^4-179*x^3+6*x^2+36*x-8)/(5*x^2-1)/(5*x^2-5*x+1) ogf] A188838 11.8233 [-(-55+88*x-36*x^2-8*x^3+6*x^4)/(x-1)/(x^5+x^4-6*x^3-6*x^2+25*x-16) lgdogf] A188838 7.57136 [(x^5+x^4-6*x^3-6*x^2+25*x-16)/(x-1)^5 ogf] A188839 5.70448 [(x^7+4*x^6-12*x^5-20*x^4+64*x^3-20*x^2-48*x+32)/(x-1)^6 ogf] A188840 4.61390 [(x^9+6*x^8-6*x^7-67*x^6+88*x^5+174*x^4-406*x^3+202*x^2+71*x-64)/(x-1)^7 ogf] A188841 3.60660 [(x^11+8*x^10+3*x^9-96*x^8-58*x^7+700*x^6-605*x^5-992*x^4+1981*x^3-1032*x^2-37*x+128)/(x-1)^8 ogf] A188861 15.8001 [(2*x^2+9*x+16)/(x-1)^2 ogf] A188861 27.0155 [-(41+13*x)/(x-1)/(2*x^2+9*x+16) lgdogf] A188861 8.12578 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=16,a(1)=41,a(2)=68} ogf] A188861 8.79594 [(54*f(x)+817)*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)-9*x-16) ogf] A188862 12.6690 [(2*x^3+12*x^2+35*x+32)/(x-1)^2 ogf] A188862 15.5998 [(-99-59*x-6*x^2+2*x^3)/(x-1)/(2*x^3+12*x^2+35*x+32) lgdogf] A188862 6.59203 [-(42905133*f(x)-216648292)*(f(x)*x^2-2*x^3-2*f(x)*x-12*x^2+f(x)-35*x-32) ogf] A188862 6.75682 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=32,a(1)=99,a(2)=178,a(3)=259} ogf] A188863 10.8262 [(2*x^4+14*x^3+52*x^2+111*x+64)/(x-1)^2 ogf] A188863 11.5602 [(-239-215*x-42*x^2+6*x^3+4*x^4)/(x-1)/(2*x^4+14*x^3+52*x^2+111*x+64) lgdogf] A188863 5.97862 [(41843259612*f(x)-47823736567)*(-2*x^4+f(x)*x^2-14*x^3-2*f(x)*x-52*x^2+f(x)-111*x-64) ogf] A188864 8.98699 [(-577-709*x-204*x^2+4*x^3+22*x^4+6*x^5)/(x-1)/(2*x^5+16*x^4+68*x^3+194*x^2+321*x+128) lgdogf] A188864 9.15816 [(2*x^5+16*x^4+68*x^3+194*x^2+321*x+128)/(x-1)^2 ogf] A188865 8.28612 [(2*x^6+18*x^5+86*x^4+280*x^3+664*x^2+881*x+256)/(x-1)^2 ogf] A188868 4.28263 [(275837*f(x)+67662)*(2*f(x)*x^4-5*f(x)*x^3-3*f(x)*x^2+2*x^3+7*f(x)*x-6*x^2-f(x)+7) ogf] A188868 6.93198 [-(49-54*x-57*x^2+4*x^6+28*x^3+36*x^4-24*x^5)/(x-1)/(2*x^3-6*x^2+7)/(2*x^3-3*x^2-6*x+1) lgdogf] A188868 8.33059 [-(2*x^3-6*x^2+7)/(x-1)/(2*x^3-3*x^2-6*x+1) ogf] A188869 3.87809 [(4*x^7-17*x^6+65*x^5-91*x^4-32*x^3+88*x^2-13)/(4*x^7-53*x^6+109*x^5-44*x^4-8*x^3-16*x^2+13*x-1) ogf] A188899 11.0466 [-(5-38*x+59*x^4-12*x^5+x^6+114*x^2-114*x^3)/(x-1)/(x^2-5*x+1)/(x^4-11*x^3+25*x^2-11*x+1) lgdogf] A188899 12.3122 [-(x-1)*(x^2-5*x+1)/(x^4-11*x^3+25*x^2-11*x+1) ogf] A188899 6.43775 [-(119645*f(x)+16167)*(f(x)*x^4-11*f(x)*x^3+25*f(x)*x^2+x^3-11*f(x)*x-6*x^2+f(x)+6*x-1) ogf] A188918 3.06293 [{(27*n^2+135*n+168)*a(n+1)+(26*n^2+129*n+159)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=5,a(2)=85} ogf] A188946 8.45797 [hypergeom([1/3,2/3],[1,1],27*x)*exp(x) egf] A188947 10.4849 [-(x^3-8*x^2+3*x-2)/(x-1)^4 ogf] A188947 18.0088 [-(-5-7*x+x^3-13*x^2)/(x-1)/(x^3-8*x^2+3*x-2) lgdogf] A188947 4.27162 [{(109*n^2+578*n+720)*a(n+1)+(-128*n^2-333*n+21)*a(n+2)+(19*n^2+25*n-96)*a(n+3),a(0)=2,a(1)=5,a(2)=16} ogf] A188947 5.5297 [(78192*f(x)+231725)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-8*x^2+f(x)+3*x-2) ogf] A188986 4.19824 [-(8*f(x)+15)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*x^3+6*f(x)*x-6*x^2-f(x)+7*x+7) ogf] A188986 6.56368 [-(49+2*x+4*x^6-24*x^5+64*x^4-24*x^3-35*x^2)/(x+1)/(2*x^3-6*x^2+7*x-1)/(2*x^3-6*x^2+7*x+7) lgdogf] A188986 7.74221 [-(2*x^3-6*x^2+7*x+7)/(x+1)/(2*x^3-6*x^2+7*x-1) ogf] A188987 4.35779 [-4*(x^3-2*x^2+x+1)*(4*x^3-10*x^2+6*x+3)/(x-1)/(16*x^6-32*x^5+4*x^4+28*x^3-8*x^2-8*x+1) ogf] A188988 3.36016 [-4*(576*x^7-1560*x^6+480*x^5+500*x^4-38*x^3-6*x^2-35*x-5)/(2*x+1)/(2*x-1)/(60*x^4-80*x^3+13*x-1) ogf] A189003 6.34119 [-(x-1)*(x+1)*(x^4+x^3-6*x^2+x+1)/(x^8-15*x^6+32*x^4-15*x^2+1) ogf] A189023 6.97753 [(6*x^49-8*x^48+4*x^33+3*x^31-6*x^16+6*x^15-3)/(x-1)/(2*x^49-4*x^33-3*x^32+3) ogf] A189050 11.2002 [(88*f(x)-81)*(f(x)*x^4+2*f(x)*x^2+x^3+x^2-f(x)+x+3) ogf] A189050 17.7480 [-(x^3+x^2+x+3)/(x^4+2*x^2-1) ogf] A189050 17.7833 [-(1+14*x+x^4+12*x^3+x^6+2*x^5+5*x^2)/(x^3+x^2+x+3)/(x^4+2*x^2-1) lgdogf] A189052 12.2656 [x^3*(x-1)/(x+1)/(2*x-1)^3 ogf] A189052 22.7784 [-2*(-2-2*x+3*x^2)/(x-1)/(2*x-1)/(x+1) lgdogf] A189052 4.94927 [{(-2*n^2-6*n)*a(n)+(-n^2-5*n-2)*a(n+1)+(n^2+n-2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A189052 6.99443 [f(x)*(8*f(x)*x^4-4*f(x)*x^3-x^4-6*f(x)*x^2+x^3+5*f(x)*x-f(x)) ogf] A189054 21.1773 [-I/((2*x-1)*(2*x+1))^(3/2) lgdegf] A189059 4.23083 [-4*(16*x^6-60*x^5+69*x^4-9*x^3-21*x^2+3)/(64*x^7-176*x^6+100*x^5+64*x^4-40*x^3-20*x^2+12*x-1) ogf] A189071 26.0842 [(x+2)^10 egf] A189071 6.10482 [{(-n+9)*a(n+1)-2*a(n+2),a(0)=1024,a(1)=5120} ogf] A189077 3.28184 [(2*f(x)*x-f(x)-x+1)^3 ogf] A189101 12.8809 [-1/(x^7+x^6+x^4+x^3+x^2+x-1) ogf] A189101 13.3019 [-(1+2*x+4*x^3+7*x^6+6*x^5+3*x^2)/(x^2-1+x+x^4+x^3+x^7+x^6) lgdogf] A189105 4.23173 [-4*(2*x^8-6*x^7+20*x^5-21*x^4-5*x^3+12*x^2-2*x-2)/(2*x^3-6*x^2+7*x-1)/(4*x^6-14*x^4+6*x^2-1) ogf] A189145 5.01083 [-(x^7-3*x^6+3*x^5-6*x^4+x^3+4*x^2-2*x+1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^4+3*x^2+1) ogf] A189154 4.35908 [-(x^9+x^7-8*x^6-x^5-4*x^4+15*x^3-4*x^2-4)/(x-1)/(x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A189162 3.91138 [-16*f(x)^2*x^4+32*f(x)^2*x^3-24*f(x)^2*x^2-8*f(x)*x^3+8*f(x)^2*x+20*f(x)*x^2-f(x)^2-14*f(x)*x-2*x^2+3*f(x)+3*x-2 ogf] A189173 10.1978 [f(x)*(f(x)*x^2-46*f(x)*x-x^2+f(x)-x) ogf] A189173 16.7244 [x*(x+1)/(x^2-46*x+1) ogf] A189173 25.0724 [-(-47+2*x+x^2)/(x+1)/(x^2-46*x+1) lgdogf] A189173 8.11865 [{a(n+3)-46*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=47} ogf] A189176 4.98163 [4*f(x)^2*x^2-f(x)^2*x+4*f(x)*x^2-5*f(x)*x+x^2+f(x)+4*x-1 ogf] A189177 2.93841 [-4*f(x)^2*x^4+f(x)^2*x^3+4*f(x)^2*x^2-4*f(x)*x^3-5*f(x)^2*x-3*f(x)*x^2+f(x)^2+9*f(x)*x-x^2-2*f(x)-4*x+1 ogf] A189179 5.31764 [-(19*f(x)+8)*(16*f(x)*x^3-4*f(x)*x^2-5*f(x)*x+16*x^2+f(x)-4*x-1) ogf] A189179 5.50422 [{a(n+3)-5*a(n+2)-4*a(n+1)+16*a(n),a(0)=1,a(1)=9,a(2)=33} ogf] A189179 9.18085 [-(16*x^2-12*x+3)*(16*x^2+4*x+3)/(16*x^2-4*x-1)/(16*x^3-4*x^2-5*x+1) lgdogf] A189179 9.96002 [-(16*x^2-4*x-1)/(16*x^3-4*x^2-5*x+1) ogf] A189197 4.01724 [-2*(x-1)*(x^2-2*x-2)*(8*x^3-12*x^2+3)/(16*x^7-56*x^6+16*x^5+82*x^4-52*x^3-14*x^2+12*x-1) ogf] A189229 12.6601 [-(906150256*x-906150257)/(x-1)^2 ogf] A189229 6.54464 [(f(x)+410554144130583025)*(f(x)*x^2-2*f(x)*x+f(x)+906150256*x-906150257) ogf] A189229 7.88027 [{-a(n+2)+2*a(n+1)-a(n),a(0)=906150257,a(1)=906150258} ogf] A189234 8.51015 [-(3*x^4+6*x^3-12*x^2-4*x+5)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A189235 7.33084 [(2*x^4-10*x^3-6*x^2+16*x-5)/(x^5+2*x^4-5*x^3-2*x^2+4*x-1) ogf] A189236 7.31339 [(4*x^4+4*x^3-15*x^2-8*x+5)/(x^5+4*x^4+2*x^3-5*x^2-2*x+1) ogf] A189237 7.05414 [-(x^4+8*x^3-9*x^2-12*x+5)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A189244 25.8757 [(3+2*x)/(x^2+3*x+1)^2 lgdegf] A189247 4.88281 [-(29259*f(x)+16172)*(16*f(x)*x^3-12*f(x)*x^2-6*f(x)*x+16*x^2+f(x)-12*x-2) ogf] A189247 5.30014 [{a(n+3)-6*a(n+2)-12*a(n+1)+16*a(n),a(0)=2,a(1)=24,a(2)=152} ogf] A189247 9.07661 [-4*(3+2*x+32*x^4-48*x^3+18*x^2)/(8*x^2-6*x-1)/(16*x^3-12*x^2-6*x+1) lgdogf] A189247 9.54025 [-2*(8*x^2-6*x-1)/(16*x^3-12*x^2-6*x+1) ogf] A189258 4.28279 [-(56*x^7-132*x^6+12*x^5+62*x^4-18*x^3-7*x-7)/(56*x^8-140*x^7+6*x^6+50*x^5-x^4+2*x^2-6*x+1) ogf] A189274 10.5052 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=9} ogf] A189274 16.8084 [-5*f(x)*x+f(x)-4*x-1 ogf] A189274 20.4426 [-(4*x+1)/(5*x-1) ogf] A189274 41.3147 [-9/(4*x+1)/(5*x-1) lgdogf] A189305 6.21723 [-(14+34*x-42*x^4+4*x^3+19*x^6+32*x^2+x^8-8*x^7)/(x^2-2*x-2)/(x^2-2*x-1)/(x^5-4*x^4+8*x^2+4*x-1) lgdogf] A189305 7.09194 [-(x^2-2*x-2)*(x^2-2*x-1)/(x^5-4*x^4+8*x^2+4*x-1) ogf] A189315 12.9947 [5*(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A189315 16.8010 [2*(1-4*x+5*x^2)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A189315 6.74727 [{a(n+3)-5*a(n+2)+5*a(n+1),a(0)=5,a(1)=10,a(2)=30} ogf] A189315 7.16036 [-(f(x)+5)*(5*f(x)*x^2-5*f(x)*x-5*x^2+f(x)+15*x-5) ogf] A189316 12.4204 [-5*(x^2+x-1)/(x+1)/(x^2-3*x+1) ogf] A189316 14.3110 [-(1+2*x+x^4+2*x^3-3*x^2)/(x+1)/(x^2-3*x+1)/(x^2+x-1) lgdogf] A189316 6.58819 [-(f(x)-2)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+5*x^2+f(x)+5*x-5) ogf] A189316 6.70480 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=5,a(2)=15} ogf] A189317 12.3097 [5*(x^2-6*x+1)/(5*x^2-10*x+1) ogf] A189317 15.8346 [4*(1-2*x+5*x^2)/(x^2-6*x+1)/(5*x^2-10*x+1) lgdogf] A189317 6.38712 [{a(n+3)-10*a(n+2)+5*a(n+1),a(0)=5,a(1)=20,a(2)=180} ogf] A189317 6.70332 [-(19*f(x)-70)*(5*f(x)*x^2-10*f(x)*x-5*x^2+f(x)+30*x-5) ogf] A189318 12.9117 [-5*(2*x-1)/(x-1)/(4*x^2+2*x-1) ogf] A189318 13.6840 [-(1+4*x+16*x^3-16*x^2)/(x-1)/(2*x-1)/(4*x^2+2*x-1) lgdogf] A189318 6.17020 [{-a(n+3)+3*a(n+2)+2*a(n+1)-4*a(n),a(0)=5,a(1)=5,a(2)=25} ogf] A189318 6.45586 [-(5*f(x)-4)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+f(x)+10*x-5) ogf] A189320 12.7109 [(x^4+x^3+2*x^2-3*x+5)/(x-1)^2 ogf] A189320 16.5541 [(-7-x+2*x^4-3*x^3-3*x^2)/(x-1)/(x^4+x^3+2*x^2-3*x+5) lgdogf] A189320 7.56082 [-(66*f(x)-587)*(-x^4+f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)+3*x-5) ogf] A189321 8.20750 [(x^7+x^6+x^5-x^4-x^3-5*x^2+9*x-7)/(x-1)^3 ogf] A189321 9.56930 [2*(6-4*x-3*x^4+2*x^3-2*x^6-2*x^5+4*x^2+2*x^7)/(x-1)/(x^7+x^6+x^5-x^4-x^3-5*x^2+9*x-7) lgdogf] A189322 8.39174 [(-12-6*x-27*x^4-33*x^3-x^6-3*x^5-9*x^2+15*x^7)/(x-1)/(3*x^7+5*x^6+9*x^5+9*x^4+3*x^3+5*x^2-4*x+8) lgdogf] A189322 8.82983 [(3*x^7+5*x^6+9*x^5+9*x^4+3*x^3+5*x^2-4*x+8)/(x-1)^2 ogf] A189323 6.69270 [(x^10+4*x^9+5*x^8+5*x^7-4*x^6-5*x^5-8*x^4-12*x^2+12*x-10)/(x-1)^3 ogf] A189324 6.98439 [(5*x^9+14*x^8+25*x^7+30*x^6+26*x^5+20*x^4+6*x^3+8*x^2-5*x+11)/(x-1)^2 ogf] A189325 4.60564 [(x^13+7*x^12+10*x^11+2*x^10-10*x^9-14*x^8-21*x^7+7*x^6+3*x^5+10*x^4-9*x^3+31*x^2-28*x+13)/(x-1)^4 ogf] A189327 15.7003 [(3*x^2+6*x+2)/(x+1)^2/(x-1)^2 ogf] A189327 18.2988 [-2*(3+7*x+3*x^3+9*x^2)/(x-1)/(x+1)/(3*x^2+6*x+2) lgdogf] A189327 8.94917 [(5456*f(x)-12071)*(f(x)*x^4-2*f(x)*x^2-3*x^2+f(x)-6*x-2) ogf] A189334 11.8720 [(x^2-6*x+1)/(5*x^2-10*x+1) ogf] A189334 14.9787 [4*(1-2*x+5*x^2)/(x^2-6*x+1)/(5*x^2-10*x+1) lgdogf] A189334 6.16429 [{a(n+3)-10*a(n+2)+5*a(n+1),a(0)=1,a(1)=4,a(2)=36} ogf] A189334 6.41087 [-(-14+19*f(x))*(5*f(x)*x^2-10*f(x)*x-x^2+f(x)+6*x-1) ogf] A189336 4.01643 [-(x^9+x^7-5*x^6-3*x^5-4*x^4+9*x^3+4*x^2+4)/(x^2-x-1)/(x^4-x^3+2*x^2-4*x+1)/(x^4+x^3+x^2-x+1) ogf] A189345 4.97607 [-x*(x+1)*(x^4+116*x^3+606*x^2+116*x+1)/(x-1)^9 ogf] A189348 7.12999 [-(x^4-3*x^3-2*x^2+x+1)/(x-1)/(x^4-2*x^3-5*x^2-2*x+1) ogf] A189356 15.1063 [-(x-3)/(x^2-14*x+1) ogf] A189356 21.3472 [-(41-6*x+x^2)/(x-3)/(x^2-14*x+1) lgdogf] A189356 7.47191 [-(568*f(x)-23)*(f(x)*x^2-14*f(x)*x+f(x)+x-3) ogf] A189356 8.27248 [{a(n+2)-14*a(n+1)+a(n),a(0)=3,a(1)=41} ogf] A189374 21.2326 [-(2+2*x+11*x^2)/(x-1)/(x^2+x+1) lgdogf] A189374 26.7617 [[3*x^2+2] ogf_with_Euler_transform] A189374 4.08033 [{(-n-4)*a(n+4)+2*a(n+3)+2*a(n+2)+(12+n)*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=7} ogf] A189374 6.53646 [-1/(x^2+x+1)^3/(x-1)^5 ogf] A189375 17.7310 [-2*(1+x+x^2+7*x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A189375 27.3975 [[3*x^3+2] ogf_with_Euler_transform] A189375 6.32115 [-1/(x^2+1)^3/(x+1)^3/(x-1)^5 ogf] A189376 16.4093 [-(3+3*x+3*x^2+11*x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A189376 27.3319 [[2*x^3+3] ogf_with_Euler_transform] A189376 6.42739 [-1/(x^2+1)^2/(x+1)^2/(x-1)^5 ogf] A189390 4.0267 [-16*f(x)^2*x^4+32*f(x)^2*x^3-24*f(x)^2*x^2+8*f(x)*x^3+8*f(x)^2*x-4*f(x)*x^2-f(x)^2-2*f(x)*x-2*x^2+f(x)-x ogf] A189391 3.48628 [{(-8*n-16)*a(n+1)+(4*n+4)*a(n+2)+(2*n+10)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=8} ogf] A189391 5.3656 [8*f(x)^2*x^3-12*f(x)^2*x^2+6*f(x)^2*x-4*f(x)*x^2-f(x)^2+4*f(x)*x-f(x)+x ogf] A189392 16.7599 [1/2*arctan(1/2+5/2*x)-1/2*arctan(1/2) revegf] A189423 31.4066 [(2*ln(x+1)+1)/(x+1) lgdegf] A189424 34.4511 [(4*ln(x+1)+1)/(x+1) lgdegf] A189425 26.7918 [-(2*ln(x+1)-1)/(x+1) lgdegf] A189426 10.3022 [x^2/(x^3-x^2-2*x+1)^2 ogf] A189426 20.7073 [-2*(-2-2*x+3*x^2)/(-x^2+1-2*x+x^3) lgdogf] A189426 3.66418 [{(-n-5)*a(n+1)+(n+4)*a(n+2)+(2*n+6)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A189427 10.0172 [-x^2/(x-1)/(x^3-x^2-2*x+1)^2 ogf] A189427 16.4649 [-(5-2*x+7*x^3-11*x^2)/(x-1)/(-x^2+1-2*x+x^3) lgdogf] A189429 6.82263 [-(3+12*x+132*x^4+88*x^3+48*x^6+112*x^5+36*x^2)/(2*x^2+2*x+1)/(8*x^5+12*x^4+10*x^3+4*x^2+x-1) lgdogf] A189429 8.10832 [-(2*x^2+2*x+1)/(8*x^5+12*x^4+10*x^3+4*x^2+x-1) ogf] A189436 6.77670 [-(x^4-4*x^3+7*x^2-5*x-1)/(x^5-4*x^4+6*x^3-2*x^2-4*x+1) ogf] A189437 5.78983 [-(x-1)*(75*x^3-63*x^2+11*x+1)/(75*x^5-138*x^4+47*x^3+17*x^2-10*x+1) ogf] A189442 5.51267 [(x-1)*(x^4-2*x-1)*(x+1)^2/(x^4+1)^2 ogf] A189442 7.13216 [-(-3+x+14*x^4+12*x^3-8*x^6-14*x^5+8*x^2+x^9+x^8-4*x^7)/(x-1)/(x+1)/(x^4-2*x-1)/(x^4+1) lgdogf] A189444 5.29058 [-(2*x^4-20*x^3-6*x^2+x+5)/(x-1)/(x^4-11*x^3+x^2-11*x+1) ogf] A189445 5.05446 [(51*x^5+537*x^4-571*x^3+168*x^2-33*x-8)/(x+1)/(3*x^4+33*x^3-44*x^2+25*x-1) ogf] A189450 4.79116 [-(292602*f(x)+78283)*(f(x)*x^4-4*f(x)*x^3+x^3+4*f(x)*x-4*x^2-f(x)+x+1) ogf] A189450 7.94512 [-(5-8*x+19*x^4-12*x^3+x^6-8*x^5+7*x^2)/(x-1)/(x+1)/(x^2-4*x+1)/(x^3-4*x^2+x+1) lgdogf] A189450 9.16568 [-(x^3-4*x^2+x+1)/(x-1)/(x+1)/(x^2-4*x+1) ogf] A189487 25.2582 [(x+1)*(2*exp(2*x)*x+exp(x)) lgdegf] A189564 6.30245 [-(f(x)*x-f(x)+1)^3 egf] A189567 6.36027 [-(f(x)*x-f(x)+1)^3 egf] A189569 5.48859 [-(f(x)*x-f(x)+1)^3 egf] A189570 5.60176 [-(f(x)*x-f(x)+1)^3 egf] A189585 3.77320 [-(x^14-x^11-x^10-2*x^9-3*x^8+x^7+x^6+x^5+3*x^4+x^2+1)/(x^15-x^12-x^11-2*x^10-4*x^9+x^8+2*x^6+4*x^5+x^4+2*x^3+x-1) ogf] A189593 6.50108 [-(x^2+1)*(x^4+x^3+1)/(x^2-x+1)/(x^5+2*x^4+2*x^3+x^2-1) ogf] A189600 5.72252 [-(x^7+x^6+x^5+x^4+x^3+x^2+1)/(x^2+1)/(x^6+x^5+x^2+x-1) ogf] A189604 13.8422 [-(3*x+1)/(2*x^2+3*x-1) ogf] A189604 16.0575 [-2*(3+2*x+3*x^2)/(3*x+1)/(2*x^2+3*x-1) lgdogf] A189604 6.77064 [-(59*f(x)+103)*(2*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) ogf] A189604 7.59632 [{a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=6} ogf] A189644 3.95227 [(97147*f(x)+144174)*(16*f(x)*x^4-8*f(x)*x^3-6*f(x)*x^2+16*x^3+9*f(x)*x-16*x^2-f(x)+6*x+3) ogf] A189644 7.36110 [-(16*x^3-16*x^2+6*x+3)/(16*x^4-8*x^3-6*x^2+9*x-1) ogf] A189709 5.70774 [-x*(x^39-x^25-x^22-x^21-x^19-x^18-x^16-x^13-x^12-x^10-x^9-x^7-x^4-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A189732 17.3603 [-(4*x+1)/(5*x^2+x-1) ogf] A189732 21.3262 [-5*(1+2*x+4*x^2)/(4*x+1)/(5*x^2+x-1) lgdogf] A189732 8.68014 [-(9*f(x)+16)*(5*f(x)*x^2+f(x)*x-f(x)+4*x+1) ogf] A189732 9.52700 [{a(n+2)-a(n+1)-5*a(n),a(0)=1,a(1)=5} ogf] A189733 7.39554 [-(x^10-x^9-x^8-2*x^7+x^6-6*x^5-x^4-2*x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A189734 16.0733 [-(x+2)/(5*x^2+2*x-1) ogf] A189734 20.8902 [-5*(1+4*x+x^2)/(x+2)/(5*x^2+2*x-1) lgdogf] A189734 8.31376 [(42*f(x)-59)*(5*f(x)*x^2+2*f(x)*x-f(x)+x+2) ogf] A189734 8.82071 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=2,a(1)=5} ogf] A189735 17.3274 [(8*x-3)/(x^2+3*x-1) ogf] A189735 21.8973 [-(-1-6*x+8*x^2)/(8*x-3)/(x^2+3*x-1) lgdogf] A189735 8.76108 [(111*f(x)-332)*(f(x)*x^2+3*f(x)*x-f(x)-8*x+3) ogf] A189735 9.50896 [{-a(n+2)+3*a(n+1)+a(n),a(0)=3,a(1)=1} ogf] A189736 16.0009 [(7*x-3)/(2*x^2+3*x-1) ogf] A189736 18.6055 [-2*(7*x+1)*(x-1)/(7*x-3)/(2*x^2+3*x-1) lgdogf] A189736 8.18227 [(57*f(x)-169)*(2*f(x)*x^2+3*f(x)*x-f(x)-7*x+3) ogf] A189736 8.78098 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=3,a(1)=2} ogf] A189737 16.7973 [3*(2*x-1)/(3*x^2+3*x-1) ogf] A189737 20.0769 [-(-1-6*x+6*x^2)/(2*x-1)/(3*x^2+3*x-1) lgdogf] A189737 8.68826 [(13*f(x)-38)*(3*f(x)*x^2+3*f(x)*x-f(x)-6*x+3) ogf] A189737 9.21804 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=3,a(1)=3} ogf] A189738 15.9513 [(5*x-3)/(x+1)/(4*x-1) ogf] A189738 18.0752 [-4*(-1-6*x+5*x^2)/(4*x-1)/(5*x-3)/(x+1) lgdogf] A189738 8.25068 [(15*f(x)-43)*(4*f(x)*x^2+3*f(x)*x-f(x)-5*x+3) ogf] A189738 8.75378 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=3,a(1)=4} ogf] A189739 16.6666 [(4*x-3)/(5*x^2+3*x-1) ogf] A189739 18.9006 [-5*(-1-6*x+4*x^2)/(4*x-3)/(5*x^2+3*x-1) lgdogf] A189739 8.42694 [(123*f(x)-344)*(5*f(x)*x^2+3*f(x)*x-f(x)-4*x+3) ogf] A189739 9.14633 [{-a(n+2)+3*a(n+1)+5*a(n),a(0)=3,a(1)=5} ogf] A189740 13.5353 [-(2*x^3+x^2-1)/(x-1)/(x^4+x^3+x^2+x-1) ogf] A189740 9.96434 [-(2-2*x-5*x^4+8*x^3+3*x^6-4*x^2+4*x^7)/(x-1)/(2*x^3+x^2-1)/(x^4+x^3+x^2+x-1) lgdogf] A189741 16.3043 [2*(7*x-2)/(2*x^2+4*x-1) ogf] A189741 19.3980 [-(-1-8*x+14*x^2)/(7*x-2)/(2*x^2+4*x-1) lgdogf] A189741 8.42694 [(66*f(x)-263)*(2*f(x)*x^2+4*f(x)*x-f(x)-14*x+4) ogf] A189741 9.14633 [{-a(n+2)+4*a(n+1)+2*a(n),a(0)=4,a(1)=2} ogf] A189742 15.6830 [(13*x-4)/(3*x^2+4*x-1) ogf] A189742 17.2855 [-3*(-1-8*x+13*x^2)/(13*x-4)/(3*x^2+4*x-1) lgdogf] A189742 7.92767 [(268*f(x)-1063)*(3*f(x)*x^2+4*f(x)*x-f(x)-13*x+4) ogf] A189742 8.79777 [{-a(n+2)+4*a(n+1)+3*a(n),a(0)=4,a(1)=3} ogf] A189743 15.9593 [4*(3*x-1)/(4*x^2+4*x-1) ogf] A189743 18.9847 [-(-1-8*x+12*x^2)/(3*x-1)/(4*x^2+4*x-1) lgdogf] A189743 8.34239 [(17*f(x)-67)*(4*f(x)*x^2+4*f(x)*x-f(x)-12*x+4) ogf] A189743 8.95280 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=4,a(1)=4} ogf] A189744 16.3048 [(11*x-4)/(x+1)/(5*x-1) ogf] A189744 17.9831 [-5*(-1-8*x+11*x^2)/(11*x-4)/(5*x-1)/(x+1) lgdogf] A189744 8.24199 [(276*f(x)-1079)*(5*f(x)*x^2+4*f(x)*x-f(x)-11*x+4) ogf] A189744 9.14659 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=4,a(1)=5} ogf] A189745 15.8212 [(24*x-5)/(x^2+5*x-1) ogf] A189745 18.8174 [-(12*x+1)*(2*x-1)/(24*x-5)/(x^2+5*x-1) lgdogf] A189745 7.99752 [(505*f(x)-2524)*(f(x)*x^2+5*f(x)*x-f(x)-24*x+5) ogf] A189745 8.87528 [{-a(n+2)+5*a(n+1)+a(n),a(0)=5,a(1)=1} ogf] A189746 16.3739 [(23*x-5)/(2*x^2+5*x-1) ogf] A189746 17.6306 [-2*(-1-10*x+23*x^2)/(23*x-5)/(2*x^2+5*x-1) lgdogf] A189746 8.27691 [(255*f(x)-1273)*(2*f(x)*x^2+5*f(x)*x-f(x)-23*x+5) ogf] A189746 9.18534 [{-a(n+2)+5*a(n+1)+2*a(n),a(0)=5,a(1)=2} ogf] A189747 15.3366 [(22*x-5)/(3*x^2+5*x-1) ogf] A189747 16.4986 [-3*(-1-10*x+22*x^2)/(22*x-5)/(3*x^2+5*x-1) lgdogf] A189747 7.7526 [(515*f(x)-2566)*(3*f(x)*x^2+5*f(x)*x-f(x)-22*x+5) ogf] A189747 8.60348 [{-a(n+2)+5*a(n+1)+3*a(n),a(0)=5,a(1)=3} ogf] A189748 15.6775 [(21*x-5)/(4*x^2+5*x-1) ogf] A189748 16.8719 [-4*(-1-10*x+21*x^2)/(21*x-5)/(4*x^2+5*x-1) lgdogf] A189748 8.10296 [(65*f(x)-323)*(4*f(x)*x^2+5*f(x)*x-f(x)-21*x+5) ogf] A189748 8.79467 [{-a(n+2)+5*a(n+1)+4*a(n),a(0)=5,a(1)=4} ogf] A189749 16.0183 [5*(4*x-1)/(5*x^2+5*x-1) ogf] A189749 18.5717 [-(-1-10*x+20*x^2)/(4*x-1)/(5*x^2+5*x-1) lgdogf] A189749 8.27911 [(21*f(x)-104)*(5*f(x)*x^2+5*f(x)*x-f(x)-20*x+5) ogf] A189749 8.98585 [{-a(n+2)+5*a(n+1)+5*a(n),a(0)=5,a(1)=5} ogf] A189761 8.36654 [(x^8+x^7-x^6-2*x^5-3*x^4-2*x^3+2*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A189769 19.4730 [-4*(3-4*x+3*x^2)/(4*x-1)/(2*x^2-2*x+1) lgdogf] A189769 3.65300 [{(n+4)*a(n+4)+(-30-6*n)*a(n+3)+(36+10*n)*a(n+2)+(-20-8*n)*a(n+1),a(0)=2,a(1)=24,a(2)=200,a(3)=1400} ogf] A189770 14.5090 [-15*(x-1)*(2*x^2-x+1)/(4*x-1)/(5*x^3-6*x^2+3*x-1) lgdogf] A189770 5.88051 [{(4*n^2+34*n+60)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=2,a(1)=30} ogf] A189772 34.8949 [2/(2+2*x+x^2) lgdegf] A189772 6.26218 [{(n^2+n)*a(n)+2*a(n+1)*n+2*a(n+2),a(0)=1,a(1)=1} ogf] A189786 19.2979 [2*(2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A189786 21.4777 [-(2+6*x+4*x^4+5*x^3+7*x^2)/(x-1)/(x^2+x+1)/(2*x^2+x+1) lgdogf] A189786 7.04892 [{(-4*n-15)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+11)*a(n+4),a(0)=2,a(1)=4,a(2)=8,a(3)=10} ogf] A189786 9.97603 [-(60*f(x)+187)*(f(x)*x^4-f(x)*x^3-f(x)*x-4*x^2+f(x)-2*x-2) ogf] A189796 5.35500 [(x^25+x^24-x^23+x^22-x^21+x^19-x^17+x^16-x^15+x^13-x^12+x^11-x^9+x^8-x^7+x^5-x^3+x^2+1)/(x^8+1)/(x^16-x^8+1)/(x-1)^2 ogf] A189800 12.3825 [-8*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A189800 19.7451 [-x/(8*x^2+6*x-1) ogf] A189800 30.0484 [-2*(3+8*x)/(8*x^2-1+6*x) lgdogf] A189800 9.01937 [{-a(n+2)+6*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A189801 12.4357 [-9*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A189801 19.8299 [-x/(9*x^2+6*x-1) ogf] A189801 30.1791 [-6*(1+3*x)/(9*x^2-1+6*x) lgdogf] A189801 9.05809 [{-a(n+2)+6*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A189807 11.9174 [(22+6*x-11*x^4+4*x^3+4*x^5-7*x^2)/(x-1)/(2*x^5-x^4+3*x^3-2*x^2-x-7) lgdogf] A189807 9.46048 [2*(2*x^5-x^4+3*x^3-2*x^2-x-7)/(x-1)^3 ogf] A189808 6.59850 [2*(2*x^10-2*x^9+4*x^7-3*x^6+7*x^5-2*x^4+2*x^3-x^2-5*x-14)/(x-1)^3 ogf] A189809 4.64487 [2*(2*x^17-2*x^16+4*x^13-4*x^12+6*x^10-2*x^9+x^8+7*x^7-6*x^6+12*x^5-3*x^4+x^3-3*x^2-10*x-23)/(x-1)^3 ogf] A189826 5.23543 [-(36*x^6-210*x^5+329*x^4-235*x^3+89*x^2-19*x+2)/(3*x-1)^2/(2*x-1)^2/(x-1)^3 ogf] A189832 5.27772 [3*f(x)^2*x^4+8*f(x)^2*x^3+9*f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x^2-2*f(x)^2-2*f(x)*x+f(x)+1 ogf] A189833 11.6712 [-(9*x^2-15*x+8)/(x-1)^3 ogf] A189833 19.1432 [-3*(3-4*x+3*x^2)/(x-1)/(9*x^2-15*x+8) lgdogf] A189833 6.13232 [-(4*f(x)+103)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-15*x+8) ogf] A189833 6.40365 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=8,a(1)=9,a(2)=12} ogf] A189834 11.1783 [-(10*x^2-17*x+9)/(x-1)^3 ogf] A189834 18.1317 [-2*(5-7*x+5*x^2)/(x-1)/(10*x^2-17*x+9) lgdogf] A189834 5.8201 [-(52*f(x)+1215)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-17*x+9) ogf] A189834 6.17747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=10,a(2)=13} ogf] A189836 11.0631 [-(12*x^2-21*x+11)/(x-1)^3 ogf] A189836 17.7644 [-6*(2-3*x+2*x^2)/(x-1)/(12*x^2-21*x+11) lgdogf] A189836 5.94991 [-(4*f(x)+91)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)-21*x+11) ogf] A189836 6.15686 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=12,a(2)=15} ogf] A189864 10.2702 [-(f(x)-1)^3 ogf] A189873 10.5911 [-(f(x)-1)^3 ogf] A189886 13.628 [f(x)*x^3+3*f(x)*x^2+6*f(x)*x-6*f(x)+6 egf] A189886 25.5939 [-6/(x^3+3*x^2+6*x-6) egf] A189886 32.3900 [-3*(2+2*x+x^2)/(3*x^2-6+6*x+x^3) lgdegf] A189886 4.99690 [{(-n^3-9*n^2-26*n-24)*a(n+1)+(-3*n^2-21*n-36)*a(n+2)+(-6*n-24)*a(n+3)+6*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=13} ogf] A189887 11.4541 [(x^6+x^5+x^4-x^3+2*x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A189887 12.9469 [(-1-x-6*x^4-2*x^3+x^6-4*x^5-2*x^2+2*x^8-3*x^7)/(x-1)/(x^2+1)/(x^6+x^5+x^4-x^3+2*x^2-x+1) lgdogf] A189889 5.75488 [(x^7-x^6-x^5-3*x^3+x^2-1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A189889 7.73513 [(1+x+13*x^4+7*x^3+9*x^6+5*x^5+9*x^2+3*x^7)/(x-1)/(x+1)/(x^2+1)/(x^7-x^6-x^5-3*x^3+x^2-1) lgdogf] A189890 11.4859 [-(x^3-6*x^2+4*x-2)/(x-1)^4 ogf] A189890 22.2846 [-(-4+x^3-9*x^2)/(x-1)/(x^3-6*x^2+4*x-2) lgdogf] A189890 4.67945 [{(85*n^2+453*n+566)*a(n+1)+(-116*n^2-368*n-116)*a(n+2)+(31*n^2+77*n-48)*a(n+3),a(0)=2,a(1)=4,a(2)=10} ogf] A189890 5.93568 [-(18576*f(x)+32623)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-6*x^2+f(x)+4*x-2) ogf] A189894 13.2738 [-(25+108*x+56*x^3+141*x^2)/(x-1)/(x+1)/(14*x^2+17*x+2) lgdogf] A189894 9.25027 [-2*(14*x^2+17*x+2)/(x+1)/(x-1)^5 ogf] A189912 5.18046 [-3*f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2-6*f(x)*x^3-f(x)*x^2+4*f(x)*x-4*x^2-f(x)-2*x+1 ogf] A189917 53.2997 [-x^24+x^23+2 ogf_with_Euler_transform] A189917 6.39402 [4*x*(x^4+x^3+x^2+x+1)*(x^20+x^15+x^10+x^5+1)/(x+1)/(x^2+1)/(x^8-x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x-1)^2 ogf] A189925 13.2418 [-(4*x^2-2*x+4)/(-x^4+1) ogf_with_Euler_transform] A189925 99.9999 Evaluated at exp(-Pi) 1/2*2^(3/4) A189940 17.3513 [(12*x+6+10*x^2+4*x^3+x^4)/(x+1)/(x^2+2*x+2) lgdegf] A189940 3.63223 [{(-2*n^2-14*n-24)*a(n+1)+(-n^2-12*n-32)*a(n+2)+n*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=28} ogf] A189976 30.7407 [[1+4*x] ogf_with_Euler_transform] A189976 31.7510 [-(1+9*x)/(x-1)/(x+1) lgdogf] A189976 4.81389 [{(n+3)*a(n+3)-a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=1,a(2)=5} ogf] A189976 7.30197 [-1/(x+1)^4/(x-1)^5 ogf] A189980 29.6204 [-(1+11*x)/(x-1)/(x+1) lgdogf] A189980 30.0910 [[1+5*x] ogf_with_Euler_transform] A189980 4.71539 [{(n+3)*a(n+3)-a(n+2)+(-12-n)*a(n+1),a(0)=1,a(1)=1,a(2)=6} ogf] A189980 5.73494 [1/(x+1)^5/(x-1)^6 ogf] A189996 11.7700 [-(x^6+x^5+x^4+x^2+2*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A190005 12.3329 [-10*f(x)*x^2-6*f(x)*x+f(x)-x ogf] A190005 19.4731 [-x/(10*x^2+6*x-1) ogf] A190005 28.0988 [-2*(3+10*x)/(10*x^2-1+6*x) lgdogf] A190005 9.02410 [{-a(n+2)+6*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A190025 4.27847 [(19*x^10+37*x^9+18*x^8+364*x^7-522*x^6-453*x^5+926*x^4-441*x^3+516*x^2-912*x+512)/(x-1)/(x^6-x^4+x^3+x-1) ogf] A190026 4.40882 [(25*x^9+26*x^8+71*x^7-154*x^6-121*x^5+183*x^4-70*x^3+101*x^2-179*x+112)/(x-1)/(x^6-x^4+x^3+x-1) ogf] A190027 4.43674 [(25*x^10+17*x^8+205*x^7-257*x^6-248*x^5+349*x^4-191*x^3+228*x^2-377*x+228)/(x-1)/(x^6-x^4+x^3+x-1) ogf] A190028 4.18157 [(81*x^11-28*x^9+9*x^8+380*x^7-452*x^6-407*x^5+611*x^4-350*x^3+379*x^2-675*x+415)/(x-1)/(x^6-x^4+x^3+x-1) ogf] A190029 3.96702 [(169*x^12-96*x^10-12*x^9+121*x^8+405*x^7-649*x^6-628*x^5+1037*x^4-527*x^3+508*x^2-997*x+616)/(x-1)/(x^6-x^4+x^3+x-1) ogf] A190030 3.83978 [(225*x^13-60*x^11-96*x^10+56*x^9+69*x^8+601*x^7-981*x^6-760*x^5+1525*x^4-775*x^3+720*x^2-1465*x+880)/(x-1)/(x^6-x^4+x^3+x-1) ogf] A190035 14.4980 [(x^3+x^2-3*x+5)/(x-1)^2 ogf] A190035 22.8421 [(-7+x+x^3-3*x^2)/(x-1)/(x^3+x^2-3*x+5) lgdogf] A190035 7.62394 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=5,a(1)=7,a(2)=10,a(3)=14} ogf] A190035 8.26522 [-(20*f(x)-63)*(f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)+3*x-5) ogf] A190036 10.8724 [(x^5-2*x^3-3*x^2+9*x-7)/(x-1)^3 ogf] A190036 14.4127 [(12-12*x-5*x^4+2*x^5+9*x^2)/(x-1)/(x^5-2*x^3-3*x^2+9*x-7) lgdogf] A190037 12.6011 [(2*x^5+3*x^4+3*x^3-4*x+8)/(x-1)^2 ogf] A190037 13.1288 [(-12+4*x-4*x^4-9*x^3+6*x^5-9*x^2)/(x-1)/(2*x^5+3*x^4+3*x^3-4*x+8) lgdogf] A190038 7.88031 [(x^7+x^6-2*x^5-3*x^4-x^3-6*x^2+12*x-10)/(x-1)^3 ogf] A190038 8.56298 [(18-12*x+7*x^4+12*x^3-4*x^6-10*x^5+9*x^2+4*x^7)/(x-1)/(x^7+x^6-2*x^5-3*x^4-x^3-6*x^2+12*x-10) lgdogf] A190039 9.85513 [(-17+7*x-19*x^4-8*x^3+12*x^6-3*x^5-12*x^2)/(x-1)/(3*x^6+5*x^5+3*x^4+4*x^3-x^2-5*x+11) lgdogf] A190039 9.92607 [(3*x^6+5*x^5+3*x^4+4*x^3-x^2-5*x+11)/(x-1)^2 ogf] A190040 6.57207 [(3*x^9+x^8-6*x^7-2*x^5+2*x^4-3*x^3+22*x^2-28*x+13)/(x-1)^4 ogf] A190042 5.26373 [(3*x^9+9*x^8+26*x^7+46*x^6+66*x^5+66*x^4+54*x^3+30*x^2+12*x+2)/(x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^2 ogf] A190048 11.0534 [-2*(3*x+4)/(x-1)^5 ogf] A190048 32.1024 [-(23+12*x)/(3*x+4)/(x-1) lgdogf] A190048 5.03071 [{(-4*n-12)*a(n+3)+(25+n)*a(n+2)+(15+3*n)*a(n+1),a(0)=8,a(1)=46,a(2)=150} ogf] A190049 16.5709 [-2*(30+31*x+2*x^2)/(x-1)/(x^2+12*x+8) lgdogf] A190049 6.96060 [2*(x^2+12*x+8)/(x-1)^6 ogf] A190050 14.0676 [(2-4*x+3*x^2)/(x-1)/(2*x-1)/(3*x^2-3*x+1) lgdogf] A190050 4.40265 [{a(n+4)-6*a(n+3)+12*a(n+2)-8*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=17} ogf] A190050 4.7577 [-(f(x)+3)*(8*f(x)*x^3-12*f(x)*x^2-3*x^3+6*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A190050 8.42793 [(x-1)*(3*x^2-3*x+1)/(2*x-1)^3 ogf] A190051 4.13118 [{(-2*n^2-14*n)*a(n)+(3*n^2+21*n+24)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=3} ogf] A190051 5.74610 [(x-1)*(10*x^4-20*x^3+16*x^2-6*x+1)/(2*x-1)^5 ogf] A190051 8.59776 [(3-12*x+10*x^4-24*x^3+24*x^2)/(x-1)/(2*x-1)/(10*x^4-20*x^3+16*x^2-6*x+1) lgdogf] A190062 13.2996 [-(x^2-x+1)*(6*x^2-4*x-1)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A190062 8.99811 [-x*(2*x^2-2*x+1)/(x-1)/(x^2+x-1)^2 ogf] A190089 13.0243 [-(x-2)*(x^3+4*x^2+2*x+2)/(x^2+x-1)/(x^3+2*x^2+5*x-1) lgdogf] A190089 13.5615 [(x^2+x-1)/(x^3+2*x^2+5*x-1) ogf] A190089 7.32081 [(53*f(x)-20)*(f(x)*x^3+2*f(x)*x^2+5*f(x)*x-x^2-f(x)-x+1) ogf] A190089 7.32081 [{-a(n+3)+5*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=21} ogf] A190090 10.6267 [(x^4+x-1)/(x^3-3*x^2+4*x-1)/(x^3+3*x^2+2*x+1) ogf] A190090 7.40678 [-(-1-4*x-15*x^4+28*x^3-x^6-10*x^5-16*x^2+2*x^9)/(x^3-3*x^2+4*x-1)/(x^4+x-1)/(x^3+3*x^2+2*x+1) lgdogf] A190091 12.5979 [(x^3+2*x^2-2*x-2)/(x+1)/(x-1)^3 ogf] A190091 16.0959 [-(-6-8*x+x^4+6*x^3+x^2)/(x-1)/(x+1)/(x^3+2*x^2-2*x-2) lgdogf] A190091 6.95405 [-(2*f(x)-113)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x-2*x^2-f(x)+2*x+2) ogf] A190092 9.03484 [(2*x^10-2*x^8+5*x^4+2*x^3-2*x^2-4*x-3)/(x+1)/(x-1)^3 ogf] A190093 6.82674 [(4*x^10+2*x^9-4*x^8-2*x^7+5*x^5+10*x^4-2*x^3-6*x^2-7*x-4)/(x+1)/(x-1)^3 ogf] A190099 3.89917 [-8*x*(x^4+2*x^3+2*x^2+2*x+2)*(2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A190139 13.1167 [(x-1)/(x^4+x^3+x^2+2*x-1) ogf] A190139 14.8374 [-(-1-2*x+3*x^4-2*x^3-2*x^2)/(x-1)/(x^4+x^3+x^2+2*x-1) lgdogf] A190139 6.40095 [-(3*f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)-x+1) ogf] A190140 18.2327 [-1/(3*x^3+x^2+2*x-1) ogf] A190140 22.9397 [-(2+2*x+9*x^2)/(x^2-1+2*x+3*x^3) lgdogf] A190140 6.67447 [{-a(n+3)+2*a(n+2)+a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A190140 7.32882 [(166*f(x)-81)*(3*f(x)*x^3+f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A190153 12.7786 [(3*x-1)/(x^3+2*x^2+5*x-1) ogf] A190153 15.1074 [-(2*x+1)*(3*x^2-2)/(3*x-1)/(x^3+2*x^2+5*x-1) lgdogf] A190153 5.99350 [{a(n+3)-5*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=12} ogf] A190153 6.3296 [(205*f(x)-191)*(f(x)*x^3+2*f(x)*x^2+5*f(x)*x-f(x)-3*x+1) ogf] A190154 8.36394 [-(x^4-x^3-2*x^2-x+1)/(x^3-3*x^2+4*x-1)/(x^3+3*x^2+2*x+1) ogf] A190156 7.86884 [2*f(x)^2*x^4+f(x)^2*x^3+3*f(x)*x^2+f(x)*x-f(x)+1 ogf] A190159 4.5106 [(f(x)-1)*(2*f(x)^2*x^5-f(x)^2*x^4-f(x)^2*x^3+f(x)*x^4+f(x)^2*x^2+f(x)*x^3-4*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A190162 4.90624 [f(x)^2*x^4-2*f(x)^2*x^3-f(x)*x^4+f(x)^2*x^2+3*f(x)*x^3-2*f(x)*x^2-x^3+2*f(x)*x-f(x)-x+1 ogf] A190165 6.28451 [f(x)^2*x^4-f(x)*x^4+f(x)^2*x^2+f(x)*x^3-2*f(x)*x^2+f(x)*x+x^2-f(x)-x+1 ogf] A190166 13.0528 [-2*(-1+2*x-5*x^4+2*x^3+2*x^5-3*x^2)/(x^2+x+1)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A190168 5.34367 [f(x)^2*x^4-f(x)^2*x^3-f(x)*x^4+f(x)^2*x^2+f(x)*x^3-2*f(x)*x^2+f(x)*x+x^2-f(x)+1 ogf] A190173 8.59644 [-(5-6*x+28*x^4+4*x^3-11*x^6-6*x^5-16*x^2+4*x^7)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A190173 8.90427 [-x*(x^2-x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A190176 10.1963 [-(49-6*x+9*x^4-22*x^3+90*x^2)/(x-1)/(9*x^4-29*x^3+59*x^2-31*x+16) lgdogf] A190176 6.69798 [-2*(9*x^4-29*x^3+59*x^2-31*x+16)/(x-1)^5 ogf] A190214 10.4955 [(x-1)/(x^6+3*x^5+4*x^4+3*x^3+2*x^2+2*x-1) ogf] A190217 3.95501 [-(81*x^11-81*x^10-1111111111111111000*x^9+9*x+1)/(99*x^10+1111111111111111001*x^9-9*x-1)/(x-1)^2 ogf] A190254 12.5104 [1/2/x^2*(-1-3*x-3*x^2+(1+6*x+15*x^2+22*x^3+13*x^4)^(1/2)) revogf] A190254 7.64653 [-f(x)^2*x^3-3*f(x)^2*x^2+f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A190255 7.79795 [-f(x)^2*x^4-2*f(x)^2*x^3-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A190277 4.22806 [(45*f(x)-32)*(2*f(x)*x^4+3*f(x)*x^3-f(x)*x^2-3*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A190277 7.61753 [-(1-2*x+18*x^4+4*x^3+8*x^5-5*x^2)/(2*x^2+2*x-1)/(2*x^4+3*x^3-x^2-3*x+1) lgdogf] A190277 8.02720 [-(2*x^2+2*x-1)/(2*x^4+3*x^3-x^2-3*x+1) ogf] A190322 11.1142 [-(-9-25*x-x^4-17*x^3+15*x^5+25*x^2)/(x-1)/(x^2+x+1)/(15*x^3-8*x^2-8*x-1) lgdogf] A190322 11.6712 [-(15*x^3-8*x^2-8*x-1)/(x^2+x+1)/(x-1)^2 ogf] A190322 4.89211 [{(-2*n-31)*a(n+1)-2*a(n+2)-2*a(n+3)+(2*n+29)*a(n+4),a(0)=1,a(1)=9,a(2)=17,a(3)=3} ogf] A190322 6.18926 [-(4840*f(x)+314257)*(f(x)*x^4-f(x)*x^3+15*x^3-f(x)*x-8*x^2+f(x)-8*x-1) ogf] A190326 10.2157 [(11*x^4+11*x^3+10*x^2+11*x+10)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A190331 11.8927 [-2*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A190331 18.9639 [-x/(2*x^2+8*x-1) ogf] A190331 31.4724 [-4*(x+2)/(2*x^2-1+8*x) lgdogf] A190331 8.66254 [{-a(n+2)+8*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A190360 11.2059 [-(x^4-x-1)/(x^5-x^2-2*x+1) ogf] A190360 11.5533 [-(3+2*x+x^4-4*x^3-2*x^5+x^2+x^8)/(x^4-x-1)/(x^5-x^2-2*x+1) lgdogf] A190395 5.07520 [-4*x*(3*x^5-7*x^4+4*x^3+17*x^2+12*x+1)/(x-1)^7 ogf] A190395 8.43869 [-(19+106*x-6*x^4-12*x^3+6*x^5+97*x^2)/(x-1)/(3*x^5-7*x^4+4*x^3+17*x^2+12*x+1) lgdogf] A190396 3.27841 [-x*(2*x^9-22*x^8+50*x^7+78*x^6-89*x^5-245*x^4+1224*x^3+612*x^2+69*x+1)/(x-1)^9 ogf] A190398 4.39851 [-4*x*(3*x^8-17*x^7+37*x^6-35*x^5+11*x^4+19*x^2+11*x+1)/(x-1)^7 ogf] A190413 10.1216 [(8*x^19+75*x^6+104*x^4+1056*x^2-1244*x-1)/(x-1) ogf] A190414 5.00857 [(152*x^20-160*x^19+450*x^7-525*x^6+416*x^5-520*x^4+2112*x^3-4412*x^2+2488*x+1)/(x-1)^2 ogf] A190441 11.746 [-39*f(x)*x^2-4*f(x)*x+f(x)-x ogf] A190441 18.5462 [-x/(39*x^2+4*x-1) ogf] A190441 26.7494 [-2*(2+39*x)/(39*x^2-1+4*x) lgdogf] A190441 8.59460 [{-a(n+2)+4*a(n+1)+39*a(n),a(0)=0,a(1)=1} ogf] A190444 4.56616 [{(-n-5)*a(n+5)+a(n+4)+2*a(n+3)+4*a(n+1),a(0)=1,a(1)=1,a(2)=3/2,a(3)=7/6,a(4)=49/24} egf] A190452 4.24887 [{(6*n+30)*a(n+5)-6*a(n+4)-6*a(n+3)-a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=2/3,a(4)=11/24} egf] A190481 4.02085 [-(9*x^9+32*x^8+45*x^7+81*x^6+34*x^5+58*x^4+29*x^3-23*x^2-18*x-4)/(x+1)/(19*x^2-1)/(x^3+x^2+2*x+1)/(x^3-x^2+2*x-1) ogf] A190482 7.72243 [-(x^7-x^5+x^3+x^2+4*x-7)/(x-1)^2 ogf] A190482 8.04137 [(10-6*x+5*x^4+x^3-7*x^6-3*x^5-3*x^2+5*x^7)/(x-1)/(x^7-x^5+x^3+x^2+4*x-7) lgdogf] A190510 11.9974 [-4*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A190510 19.1310 [-x/(4*x^2+8*x-1) ogf] A190510 31.7534 [-8*(x+1)/(4*x^2-1+8*x) lgdogf] A190510 8.73886 [{-a(n+2)+8*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A190512 14.7171 [-(x^2+1)/(x^3+2*x-1) ogf] A190512 19.6501 [-(2+2*x+x^4+x^2)/(x^2+1)/(x^3+2*x-1) lgdogf] A190512 7.67168 [{a(n+3)-2*a(n+2)-a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A190512 8.64487 [(7*f(x)-4)*(f(x)*x^3+2*f(x)*x+x^2-f(x)+1) ogf] A190525 10.0092 [-(3+3*x^4-2*x^3+x^6-2*x^5+3*x^2)/(x+1)/(x^3-x^2+x+1)/(x^3-2*x^2+3*x-1) lgdogf] A190525 5.1385 [(19*f(x)-10)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+x^3+2*f(x)*x-x^2-f(x)+x+1) ogf] A190525 9.27600 [-(x^3-x^2+x+1)/(x+1)/(x^3-2*x^2+3*x-1) ogf] A190528 8.88563 [-(3+2*x-3*x^4+4*x^3+x^6+2*x^5-2*x^2+x^8-2*x^7)/(x^4-x^3+x+1)/(x^5-x^4+x^2+2*x-1) lgdogf] A190528 9.40852 [-(x^4-x^3+x+1)/(x^5-x^4+x^2+2*x-1) ogf] A190531 5.07295 [-(68*x^5-153*x^4+145*x^3-73*x^2+19*x-2)/(x-1)^2/(3*x-1)^2/(2*x-1)^2 ogf] A190540 15.2152 [5*x/(7*x-1)/(2*x-1) ogf] A190540 21.8919 [-(-9+28*x)/(7*x-1)/(2*x-1) lgdogf] A190540 7.05093 [{a(n+2)-9*a(n+1)+14*a(n),a(0)=0,a(1)=5} ogf] A190540 9.63627 [-14*f(x)*x^2+9*f(x)*x-f(x)+5*x ogf] A190541 14.8250 [4*x/(7*x-1)/(3*x-1) ogf] A190541 20.3282 [-2*(-5+21*x)/(7*x-1)/(3*x-1) lgdogf] A190541 6.96598 [{a(n+2)-10*a(n+1)+21*a(n),a(0)=0,a(1)=4} ogf] A190541 9.4783 [-21*f(x)*x^2+10*f(x)*x-f(x)+4*x ogf] A190542 14.8250 [3*x/(7*x-1)/(4*x-1) ogf] A190542 21.0811 [-(-11+56*x)/(7*x-1)/(4*x-1) lgdogf] A190542 6.96598 [{a(n+2)-11*a(n+1)+28*a(n),a(0)=0,a(1)=3} ogf] A190542 9.4783 [-28*f(x)*x^2+11*f(x)*x-f(x)+3*x ogf] A190543 10.0185 [-24*f(x)*x^2+11*f(x)*x-f(x)+5*x ogf] A190543 15.6700 [5*x/(8*x-1)/(3*x-1) ogf] A190543 22.3015 [-(-11+48*x)/(8*x-1)/(3*x-1) lgdogf] A190543 7.36300 [{a(n+2)-11*a(n+1)+24*a(n),a(0)=0,a(1)=5} ogf] A190560 12.1022 [-6*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A190560 19.2981 [-x/(6*x^2+8*x-1) ogf] A190560 29.3649 [-4*(2+3*x)/(6*x^2-1+8*x) lgdogf] A190560 8.81519 [{-a(n+2)+8*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190567 12.5649 [-(311*x^4+x^3+76*x^2+x+311)/(x-1)/(x+1)/(x^2+1) ogf] A190567 8.22004 [(58981*f(x)-17320250)*(f(x)*x^4+311*x^4+x^3+76*x^2-f(x)+x+311) ogf] A190567 9.58203 [-(1+152*x+3*x^4+2488*x^3+x^6+152*x^5+3*x^2)/(x-1)/(x+1)/(x^2+1)/(311*x^4+x^3+76*x^2+x+311) lgdogf] A190569 11.8176 [-(2*x^2+x+1)/(2*x-1)/(x^2+1) ogf] A190569 13.5964 [-(3+2*x+4*x^4+4*x^3+x^2)/(2*x-1)/(x^2+1)/(2*x^2+x+1) lgdogf] A190569 6.43638 [{-a(n+3)+2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A190569 6.61501 [(4*f(x)-3)*(2*f(x)*x^3-f(x)*x^2+2*f(x)*x+2*x^2-f(x)-x+1) ogf] A190570 5.0149 [(6*f(x)+5)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2+2*x^3+2*f(x)*x-2*x^2-f(x)+x+1) ogf] A190570 8.41797 [-(3-2*x+8*x^4-4*x^3+4*x^6-8*x^5+5*x^2)/(2*x^3-2*x^2+x+1)/(2*x^4-2*x^3+x^2+2*x-1) lgdogf] A190570 8.92262 [-(2*x^3-2*x^2+x+1)/(2*x^4-2*x^3+x^2+2*x-1) ogf] A190571 7.65270 [-(3+2*x-6*x^4+8*x^3+4*x^6+4*x^5-5*x^2+4*x^8-8*x^7)/(2*x^4-2*x^3+x+1)/(2*x^5-2*x^4+x^2+2*x-1) lgdogf] A190571 9.32017 [-(2*x^4-2*x^3+x+1)/(2*x^5-2*x^4+x^2+2*x-1) ogf] A190576 12.1763 [(5*x^2-6*x-1)/(x-1)^3 ogf] A190576 20.7840 [-(-9-2*x+5*x^2)/(x-1)/(5*x^2-6*x-1) lgdogf] A190576 6.40307 [(132*f(x)-4847)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+6*x+1) ogf] A190576 6.57306 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=19} ogf] A190577 12.1751 [-2*(-64+69*x+5*x^3-30*x^2)/(x-1)/(5*x^3-25*x^2+47*x-35) lgdogf] A190577 5.55580 [{(-n-10)*a(n+1)+(n+2)*a(n+3),a(0)=105,a(1)=384,a(2)=945} ogf] A190577 7.34800 [3*(5*x^3-25*x^2+47*x-35)/(x-1)^5 ogf] A190578 4.31953 [2*x*(x^6+57*x^5+603*x^4+1198*x^3+603*x^2+57*x+1)/(x-1)^8 ogf] A190582 5.03253 [(6*x^22-6*x^21+6*x^16-6*x^15+6*x^10-6*x^9+6*x^4-6*x^3-15*x+16)/(x-1)^2 ogf] A190587 5.01563 [2*f(x)^2*x^4+2*f(x)*x^4+2*f(x)^2*x^2+2*f(x)*x^3-f(x)^2*x-2*f(x)*x^2+2*x^3+6*f(x)*x-2*f(x)-x+2 ogf] A190590 57.3212 [x/(1+x+2*x^4) revogf] A190621 10.6353 [-2*(1+3*x+12*x^4+10*x^3+12*x^5+x^9+3*x^8+6*x^7)/(x-1)/(x+1)/(x^2+1)/(x^6+2*x^5+3*x^4+3*x^2+2*x+1) lgdogf] A190621 11.1910 [x*(x^6+2*x^5+3*x^4+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A190623 5.25598 [(x^6+4*x^5+15*x^4+20*x^3+15*x^2+4*x+1)*(x^8+2*x^7+4*x^6-2*x^5+14*x^4-2*x^3+4*x^2+2*x+1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A190636 5.29128 [(x^6+90*x^5+891*x^4+1816*x^3+891*x^2+90*x+1)/(x-1)^8 ogf] A190651 5.39436 [-(1899*x^12-x^11-2*x^10-3*x^9-2*x^8-3*x^7-x^6-2*x^5-3*x^4-x^3-5*x^2-2*x-1902)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A190652 5.39436 [-(1895*x^12-x^11-2*x^10-2*x^9-x^8-5*x^7-x^6-3*x^5-x^4-x^3-x^2-4*x-1901)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A190667 11.5975 [-(2*x+1)/(x^4+2*x^3+2*x^2+x-1) ogf] A190667 11.9628 [-(3+4*x+6*x^4+12*x^3+10*x^2)/(2*x+1)/(x^4+2*x^3+2*x^2+x-1) lgdogf] A190667 5.65959 [(342*f(x)+925)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+2*x+1) ogf] A190669 5.30283 [-(x^28-x^27+x^26-x^24+x^22-x^20+x^18-x^16+x^14-x^13+x^11-x^9+x^7-x^5+x^3-x+1)/(x-1)/(x^4+1)/(x^24-x^20+x^16-x^12+x^8-x^4+1) ogf] A190705 17.8769 [-2*(10+13*x+x^2)/(x-1)/(x^2+8*x+3) lgdogf] A190705 4.14844 [-(88524*f(x)+2040421)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-48*x^2+f(x)-18*x) ogf] A190705 8.24157 [6*x*(x^2+8*x+3)/(x-1)^4 ogf] A190716 10.2324 [-(3*x^4-2*x^3+4*x^2+2*x+1)/(x-1)^3/(x+1)^3 ogf] A190716 11.1322 [-2*(1+7*x-3*x^4+14*x^3+3*x^5+2*x^2)/(x-1)/(x+1)/(3*x^4-2*x^3+4*x^2+2*x+1) lgdogf] A190717 23.8621 [-(1+x+10*x^2)/(x-1)/(x^2+x+1) lgdogf] A190717 28.1666 [[3*x^2+1] ogf_with_Euler_transform] A190717 4.28927 [{(-n-4)*a(n+4)+a(n+3)+a(n+2)+(11+n)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=4} ogf] A190717 9.56391 [1/(x^2+x+1)^3/(x-1)^4 ogf] A190718 18.2611 [-(1+x+x^2+13*x^3)/(x-1)/(x+1)/(x^2+1) lgdogf] A190718 27.5228 [[3*x^3+1] ogf_with_Euler_transform] A190718 9.21956 [1/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A190719 8.68165 [x*(x^6+3*x^5+x^4+2*x^3+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A190724 5.44458 [6*f(x)^2*x^3-37*f(x)^2*x^2+12*f(x)^2*x+f(x)*x^2-f(x)^2-6*f(x)*x+f(x)-2*x ogf] A190725 4.63881 [-f(x)^2*x^4+3*f(x)^2*x^3+16*f(x)^2*x^2+3*f(x)^2*x-f(x)*x^2-f(x)^2+6*f(x)*x-f(x)+2 ogf] A190729 40.8221 [1+1/2*x^2+1/6*x^3 lgdegf] A190730 11.0180 [-(4*x^2+2*x-3)/(2*x-1)^2/(x-1)^2 ogf] A190730 15.0720 [-2*(8-19*x+8*x^3+6*x^2)/(x-1)/(2*x-1)/(4*x^2+2*x-3) lgdogf] A190730 5.50898 [-(807*f(x)-316828)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+4*x^2+f(x)+2*x-3) ogf] A190733 3.78237 [{(-4*n^2-16*n)*a(n)+(-8*n^2-38*n-30)*a(n+1)+(-3*n^2-15*n-18)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=5} ogf] A190733 8.92468 [-f(x)^2*x^2-f(x)^2*x+2*f(x)*x-4*x^2+f(x)-4*x-1 ogf] A190734 3.10243 [32*f(x)^3*x^2-256*f(x)^2*x^3+59*f(x)^3*x-600*f(x)^2*x^2-4*f(x)^3-204*f(x)^2*x+96*f(x)*x^2+16*f(x)^2+330*f(x)*x-72*x^2-21*f(x)-180*x+9 ogf] A190736 5.3575 [-f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-f(x)^2-5*f(x)*x+4*f(x)-3 ogf] A190737 5.28289 [-f(x)^2*x^4-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A190785 8.47789 [x*(x^6+2*x^5+2*x^4+2*x^3+2*x^2+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A190787 11.9798 [{-a(n+3)+4*a(n+1),a(0)=2,a(1)=8,a(2)=18} ogf] A190787 12.5713 [(1305*f(x)-562)*(4*f(x)*x^2+10*x^2-f(x)+8*x+2) ogf] A190787 13.3984 [-(-16*x^2-18*x-4)/(-20*x^4-16*x^3+x^2+4*x+1) lgdogf] A190787 20.3656 [-2*(5*x^2+4*x+1)/(2*x+1)/(2*x-1) ogf] A190787 21.8225 [-2*(2+9*x+8*x^2)/(2*x+1)/(2*x-1)/(5*x^2+4*x+1) lgdogf] A190788 2.98312 [4*f(x)^2*x^4-8*f(x)^2*x^3-8*f(x)*x^4+4*f(x)^2*x^2+16*f(x)*x^3+4*x^4+2*f(x)^2*x-6*f(x)*x^2-8*x^3-f(x)^2-4*f(x)*x+3*x^2+2*f(x)+2*x-1 ogf] A190798 11.3630 [-(4*x^5+8*x^4+10*x^3+16*x^2+6*x+4)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A190798 18.6916 [-2*(2+3*x+4*x^4+5*x^3+2*x^5+8*x^2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A190798 36.3527 [-x^3+2*x^2-x+4 ogf_with_Euler_transform] A190798 9.63584 [x^2*(x^2+1)*(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A190816 11.1856 [-(-10*x^2-18*x-2)/(-10*x^3+11*x^2-2*x+1) lgdogf] A190816 12.2681 [-(10*x^2-x+1)/(x-1)^3 ogf] A190816 21.2996 [-2*(1+9*x+5*x^2)/(x-1)/(10*x^2-x+1) lgdogf] A190816 6.28613 [(32300*f(x)-100071)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-x+1) ogf] A190816 6.73117 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=13} ogf] A190863 13.7053 [1/(x^2+1)^(1/2)*(2*x^2+1) lgdegf] A190863 26.3143 [1/(1+x^2)^(1/2)*(2*x^2+1) lgdegf] A190864 10.4888 [4*f(x)^2*x^4+f(x)^2*x^2-f(x)^2+2*f(x)-1 ogf] A190865 5.65025 [{(n^2+5*n+6)*a(n+1)-2*a(n+4)+2*a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A190869 12.2096 [-2*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190869 14.6515 [-(4*x-10)/(2*x^2-10*x+1) lgdogf] A190869 21.5464 [x/(2*x^2-10*x+1) ogf] A190869 27.8194 [-2*(-5+2*x)/(2*x^2+1-10*x) lgdogf] A190869 8.93385 [{a(n+2)-10*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A190870 11.7561 [-22*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A190870 13.7908 [-(44*x-11)/(22*x^2-11*x+1) lgdogf] A190870 20.4892 [x/(22*x^2-11*x+1) ogf] A190870 25.2803 [-11*(-1+4*x)/(22*x^2+1-11*x) lgdogf] A190870 8.64001 [{a(n+2)-11*a(n+1)+22*a(n),a(0)=0,a(1)=1} ogf] A190871 11.2298 [-11*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A190871 13.1734 [-(22*x-11)/(11*x^2-11*x+1) lgdogf] A190871 19.5719 [x/(11*x^2-11*x+1) ogf] A190871 25.0327 [-11*(2*x-1)/(11*x^2+1-11*x) lgdogf] A190871 8.25322 [{a(n+2)-11*a(n+1)+11*a(n),a(0)=0,a(1)=1} ogf] A190872 11.8736 [-9*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A190872 13.9690 [-(18*x-11)/(9*x^2-11*x+1) lgdogf] A190872 20.9535 [x/(9*x^2-11*x+1) ogf] A190872 27.0494 [-(-11+18*x)/(9*x^2+1-11*x) lgdogf] A190872 8.68802 [{a(n+2)-11*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A190873 11.679 [-12*f(x)*x^2+12*f(x)*x-f(x)+x ogf] A190873 13.7003 [-(24*x-12)/(12*x^2-12*x+1) lgdogf] A190873 20.3548 [x/(12*x^2-12*x+1) ogf] A190873 26.0476 [-12*(2*x-1)/(12*x^2+1-12*x) lgdogf] A190873 8.58335 [{a(n+2)-12*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A190875 4.32135 [{(n+5)*a(n+5)-a(n+4)-4*a(n+1),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=25/24} egf] A190876 15.0282 [-(-63*x^9+81*x^8+2)/(9*x^10-9*x^9+x-1) lgdogf] A190876 21.7755 [(9*x^9+1)/(x-1)^2 ogf] A190876 30.8841 [(-2+63*x^9-81*x^8)/(x-1)/(9*x^9+1) lgdogf] A190876 5.70588 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=6,a(6)=7,a(7)=8,a(8)=9,a(9)=19} ogf] A190878 32.4749 [(1+3*x^4)/(x^4+x-1)^2 lgdegf] A190878 9.13357 [-(3*x^4+1)/(-x^8-2*x^5+2*x^4-x^2+2*x-1) lgdegf] A190905 9.09718 [I/(2*x-1)^(3/2)/x/(2*x+1)^(3/2)*(4*x^2-x-1)-1/x ogf_with_Euler_transform] A190910 6.84436 [-(2-8*x+5*x^4-34*x^3+13*x^6-8*x^5+19*x^2+x^8-6*x^7)/(x-1)/(1+x^2)/(x^2-4*x+1)/(x^4-3*x^3-3*x+1) lgdogf] A190912 12.4596 [-(3*x^4+2*x^3+x^2-1)/(x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A190912 8.11777 [-2*(1-x+9*x^4-2*x^3-3*x^5-2*x^2+3*x^9+3*x^8+2*x^7)/(x-1)/(3*x^4+2*x^3+x^2-1)/(x^5+x^4+x^3+x^2+x-1) lgdogf] A190913 14.6369 [-x*(4-28*x^3+9*x^5+27*x+12*x^6)/(x^2+x-1)/(6*x^3+3*x^2-5)/(x^3-x^2-x-1) lgdogf] A190913 15.2267 [-(6*x^3+3*x^2-5)/(x^2+x-1)/(x^3-x^2-x-1) ogf] A190913 8.33841 [-(12*x^7+9*x^6-28*x^4+27*x^2+4*x)/(6*x^8+3*x^7-18*x^6-20*x^5-3*x^4+21*x^3+8*x^2-5) lgdogf] A190914 13.8203 [-x*(4*x^6-28*x^3+9*x+27*x^5+12)/(x^2-x-1)/(2*x^3+9*x^2-5)/(x^3+x^2+x-1) lgdogf] A190914 14.3813 [-(2*x^3+9*x^2-5)/(x^2-x-1)/(x^3+x^2+x-1) ogf] A190914 7.87547 [-(-4*x^7-27*x^6+28*x^4-9*x^2-12*x)/(-2*x^8-9*x^7+2*x^6+20*x^5+27*x^4-7*x^3-24*x^2+5) lgdogf] A190917 3.51550 [{(8*n^2+32*n+32)*a(n+1)+(7*n^2+59*n+120)*a(n+2)+(-n^2-9*n-20)*a(n+3),a(0)=1,a(1)=5,a(2)=29} ogf] A190943 10.4851 [-27*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A190943 12.5821 [-(-54*x-8)/(-27*x^2-8*x+1) lgdogf] A190943 16.5553 [-x/(27*x^2+8*x-1) ogf] A190943 23.8506 [-2*(4+27*x)/(27*x^2-1+8*x) lgdogf] A190943 7.67199 [{-a(n+2)+8*a(n+1)+27*a(n),a(0)=0,a(1)=1} ogf] A190947 9.29562 [(f(x)-1)^2 ogf] A190949 11.0710 [-(x-1)*(x^2+6*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A190949 6.82883 [(2584*f(x)-759)*(f(x)*x^4-18*f(x)*x^2+x^3+5*x^2+f(x)-5*x-1) ogf] A190949 8.86185 [-(5+26*x+3*x^4-4*x^3+x^6+10*x^5+87*x^2)/(x-1)/(x^2+6*x+1)/(x^2+4*x-1)/(x^2-4*x-1) lgdogf] A190953 12.1581 [-10*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A190953 14.5897 [-(-20*x-8)/(-10*x^2-8*x+1) lgdogf] A190953 19.1970 [-x/(10*x^2+8*x-1) ogf] A190953 28.8085 [-4*(2+5*x)/(10*x^2-1+8*x) lgdogf] A190953 8.89616 [{-a(n+2)+8*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A190954 11.8736 [-4*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A190954 14.2484 [-(-8*x-10)/(-4*x^2-10*x+1) lgdogf] A190954 18.7478 [-x/(4*x^2+10*x-1) ogf] A190954 28.1314 [-2*(5+4*x)/(4*x^2-1+10*x) lgdogf] A190954 8.68802 [{-a(n+2)+10*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A190955 11.8736 [-5*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A190955 13.9690 [-(-10*x-10)/(-5*x^2-10*x+1) lgdogf] A190955 18.7478 [-x/(5*x^2+10*x-1) ogf] A190955 29.3035 [-10*(x+1)/(5*x^2-1+10*x) lgdogf] A190955 8.68802 [{-a(n+2)+10*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A190956 11.8736 [-6*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A190956 13.9690 [-(-12*x-10)/(-6*x^2-10*x+1) lgdogf] A190956 18.7478 [-x/(6*x^2+10*x-1) ogf] A190956 28.1314 [-2*(5+6*x)/(6*x^2-1+10*x) lgdogf] A190956 8.68802 [{-a(n+2)+10*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190957 11.8736 [-8*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A190957 13.9690 [-(-16*x-10)/(-8*x^2-10*x+1) lgdogf] A190957 18.7478 [-x/(8*x^2+10*x-1) ogf] A190957 28.1314 [-2*(5+8*x)/(8*x^2-1+10*x) lgdogf] A190957 8.68802 [{-a(n+2)+10*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A190958 11.8293 [-10*f(x)*x^2+2*f(x)*x-f(x)+x ogf] A190958 14.1952 [-(-20*x+2)/(-10*x^2+2*x-1) lgdogf] A190958 20.8753 [x/(10*x^2-2*x+1) ogf] A190958 27.7683 [-2*(-1+10*x)/(10*x^2+1-2*x) lgdogf] A190958 8.65560 [{a(n+2)-2*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A190959 12.2182 [-5*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A190959 14.7117 [-(-10*x+3)/(-5*x^2+3*x-1) lgdogf] A190959 21.8447 [x/(5*x^2-3*x+1) ogf] A190959 31.9137 [-(-3+10*x)/(5*x^2+1-3*x) lgdogf] A190959 8.89968 [{a(n+2)-3*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A190960 12.4555 [-6*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A190960 14.9974 [-(-12*x+3)/(-6*x^2+3*x-1) lgdogf] A190960 22.2689 [x/(6*x^2-3*x+1) ogf] A190960 30.6312 [-3*(-1+4*x)/(6*x^2+1-3*x) lgdogf] A190960 9.07252 [{a(n+2)-3*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190961 12.2789 [-7*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A190961 14.7848 [-(-14*x+3)/(-7*x^2+3*x-1) lgdogf] A190961 21.9532 [x/(7*x^2-3*x+1) ogf] A190961 31.4611 [-(-3+14*x)/(7*x^2+1-3*x) lgdogf] A190961 8.94390 [{a(n+2)-3*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A190962 12.0424 [-8*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A190962 14.5000 [-(-16*x+3)/(-8*x^2+3*x-1) lgdogf] A190962 21.5303 [x/(8*x^2-3*x+1) ogf] A190962 31.0072 [-(-3+16*x)/(8*x^2+1-3*x) lgdogf] A190962 8.77160 [{a(n+2)-3*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A190963 11.3958 [9*f(x)*x^2-3*f(x)*x+f(x)-x ogf] A190963 13.7215 [-(-18*x+3)/(-9*x^2+3*x-1) lgdogf] A190963 20.3744 [x/(9*x^2-3*x+1) ogf] A190963 29.2508 [-3*(-1+6*x)/(9*x^2+1-3*x) lgdogf] A190963 8.30067 [{a(n+2)-3*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A190964 12.0515 [-10*f(x)*x^2+3*f(x)*x-f(x)+x ogf] A190964 14.4617 [-(-20*x+3)/(-10*x^2+3*x-1) lgdogf] A190964 21.2673 [x/(10*x^2-3*x+1) ogf] A190964 30.2564 [-(-3+20*x)/(10*x^2+1-3*x) lgdogf] A190964 8.81813 [{a(n+2)-3*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A190965 11.8754 [-6*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A190965 14.2989 [-(-4+12*x)/(6*x^2-4*x+1) lgdogf] A190965 21.2317 [x/(6*x^2-4*x+1) ogf] A190965 30.7525 [-4*(3*x-1)/(6*x^2+1-4*x) lgdogf] A190965 8.64996 [{a(n+2)-4*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190966 12.3944 [-8*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A190966 14.9239 [-(4-16*x)/(-8*x^2+4*x-1) lgdogf] A190966 22.1597 [x/(8*x^2-4*x+1) ogf] A190966 31.4689 [-4*(-1+4*x)/(8*x^2+1-4*x) lgdogf] A190966 9.02804 [{a(n+2)-4*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A190967 11.8039 [-9*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A190967 14.2129 [-(-18*x+4)/(-9*x^2+4*x-1) lgdogf] A190967 21.1039 [x/(9*x^2-4*x+1) ogf] A190967 29.0568 [-2*(-2+9*x)/(9*x^2+1-4*x) lgdogf] A190967 8.59790 [{a(n+2)-4*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A190968 12.107 [-10*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A190968 14.5284 [-(-20*x+4)/(-10*x^2+4*x-1) lgdogf] A190968 21.3653 [x/(10*x^2-4*x+1) ogf] A190968 29.4772 [-4*(-1+5*x)/(10*x^2+1-4*x) lgdogf] A190968 8.85878 [{a(n+2)-4*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A190969 12.3277 [-8*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A190969 14.8436 [-(-16*x+5)/(-8*x^2+5*x-1) lgdogf] A190969 22.0405 [x/(8*x^2-5*x+1) ogf] A190969 31.5684 [-(-5+16*x)/(8*x^2+1-5*x) lgdogf] A190969 8.97947 [{a(n+2)-5*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A190970 12.0298 [-9*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A190970 14.4849 [-(18*x-5)/(9*x^2-5*x+1) lgdogf] A190970 21.5078 [x/(9*x^2-5*x+1) ogf] A190970 30.6840 [-(-5+18*x)/(9*x^2+1-5*x) lgdogf] A190970 8.76246 [{a(n+2)-5*a(n+1)+9*a(n),a(0)=0,a(1)=1} ogf] A190971 12.2181 [-10*f(x)*x^2+5*f(x)*x-f(x)+x ogf] A190971 14.6617 [-(-5+20*x)/(10*x^2-5*x+1) lgdogf] A190971 21.5613 [x/(10*x^2-5*x+1) ogf] A190971 29.6053 [-5*(-1+4*x)/(10*x^2+1-5*x) lgdogf] A190971 8.94005 [{a(n+2)-5*a(n+1)+10*a(n),a(0)=0,a(1)=1} ogf] A190972 12.0637 [-3*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A190972 14.8282 [-(6*x-7)/(3*x^2-7*x+1) lgdogf] A190972 21.5684 [x/(3*x^2-7*x+1) ogf] A190972 30.5369 [-(-7+6*x)/(3*x^2+1-7*x) lgdogf] A190972 8.78711 [{a(n+2)-7*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A190973 11.9042 [-4*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A190973 14.6323 [-(8*x-7)/(4*x^2-7*x+1) lgdogf] A190973 21.2833 [x/(4*x^2-7*x+1) ogf] A190973 30.1280 [-(-7+8*x)/(4*x^2+1-7*x) lgdogf] A190973 8.67099 [{a(n+2)-7*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A190974 11.7448 [-5*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A190974 14.1417 [-(10*x-7)/(5*x^2-7*x+1) lgdogf] A190974 20.9983 [x/(5*x^2-7*x+1) ogf] A190974 28.4807 [-(-7+10*x)/(5*x^2+1-7*x) lgdogf] A190974 8.55485 [{a(n+2)-7*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A190975 11.6831 [-2*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A190975 14.3605 [-(4*x-8)/(2*x^2-8*x+1) lgdogf] A190975 20.8879 [x/(2*x^2-8*x+1) ogf] A190975 29.5665 [-4*(-2+x)/(2*x^2+1-8*x) lgdogf] A190975 8.50990 [{a(n+2)-8*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A190976 11.5783 [-3*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A190976 14.2317 [-(6*x-8)/(3*x^2-8*x+1) lgdogf] A190976 20.7006 [x/(3*x^2-8*x+1) ogf] A190976 26.9539 [-2*(-4+3*x)/(3*x^2+1-8*x) lgdogf] A190976 8.43358 [{a(n+2)-8*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A190977 12.6483 [-5*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A190977 15.2295 [-(10*x-8)/(5*x^2-8*x+1) lgdogf] A190977 22.6135 [x/(5*x^2-8*x+1) ogf] A190977 29.4736 [-2*(-4+5*x)/(5*x^2+1-8*x) lgdogf] A190977 9.21293 [{a(n+2)-8*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A190978 12.5951 [-6*f(x)*x^2+8*f(x)*x-f(x)+x ogf] A190978 15.1655 [-(12*x-8)/(6*x^2-8*x+1) lgdogf] A190978 22.5185 [x/(6*x^2-8*x+1) ogf] A190978 29.3482 [-4*(-2+3*x)/(6*x^2+1-8*x) lgdogf] A190978 9.17421 [{a(n+2)-8*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190979 12.207 [-2*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A190979 15.0044 [-(4*x-9)/(2*x^2-9*x+1) lgdogf] A190979 21.8246 [x/(2*x^2-9*x+1) ogf] A190979 30.9104 [-(-9+4*x)/(2*x^2-9*x+1) lgdogf] A190979 8.89151 [{a(n+2)-9*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A190980 12.1546 [-3*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A190980 14.9400 [-(6*x-9)/(3*x^2-9*x+1) lgdogf] A190980 21.7309 [x/(3*x^2-9*x+1) ogf] A190980 28.3139 [-3*(-3+2*x)/(3*x^2+1-9*x) lgdogf] A190980 8.85335 [{a(n+2)-9*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A190981 12.0498 [-4*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A190981 14.8112 [-(8*x-9)/(4*x^2-9*x+1) lgdogf] A190981 21.5436 [x/(4*x^2-9*x+1) ogf] A190981 30.5072 [-(-9+8*x)/(4*x^2+1-9*x) lgdogf] A190981 8.77702 [{a(n+2)-9*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A190982 11.9974 [-5*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A190982 14.4459 [-(10*x-9)/(5*x^2-9*x+1) lgdogf] A190982 21.4499 [x/(5*x^2-9*x+1) ogf] A190982 29.1073 [-(-9+10*x)/(5*x^2+1-9*x) lgdogf] A190982 8.73886 [{a(n+2)-9*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A190983 11.945 [-6*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A190983 14.3828 [-(12*x-9)/(6*x^2-9*x+1) lgdogf] A190983 21.3563 [x/(6*x^2-9*x+1) ogf] A190983 27.8194 [-3*(-3+4*x)/(6*x^2+1-9*x) lgdogf] A190983 8.70070 [{a(n+2)-9*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190984 11.8927 [-7*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A190984 14.3197 [-(14*x-9)/(7*x^2-9*x+1) lgdogf] A190984 21.2626 [x/(7*x^2-9*x+1) ogf] A190984 28.8497 [-(-9+14*x)/(7*x^2+1-9*x) lgdogf] A190984 8.66254 [{a(n+2)-9*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A190985 12.2096 [-3*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190985 14.6515 [-(6*x-10)/(3*x^2-10*x+1) lgdogf] A190985 21.5464 [x/(3*x^2-10*x+1) ogf] A190985 27.8194 [-2*(-5+3*x)/(3*x^2+1-10*x) lgdogf] A190985 8.93385 [{a(n+2)-10*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A190986 12.2096 [-4*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190986 14.6515 [-(8*x-10)/(4*x^2-10*x+1) lgdogf] A190986 21.5464 [x/(4*x^2-10*x+1) ogf] A190986 27.8194 [-2*(-5+4*x)/(4*x^2+1-10*x) lgdogf] A190986 8.93385 [{a(n+2)-10*a(n+1)+4*a(n),a(0)=0,a(1)=1} ogf] A190987 12.2096 [-5*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190987 14.3642 [-(10*x-10)/(5*x^2-10*x+1) lgdogf] A190987 21.5464 [x/(5*x^2-10*x+1) ogf] A190987 30.1376 [-10*(x-1)/(5*x^2+1-10*x) lgdogf] A190987 8.93385 [{a(n+2)-10*a(n+1)+5*a(n),a(0)=0,a(1)=1} ogf] A190988 12.2096 [-6*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190988 14.3642 [-(12*x-10)/(6*x^2-10*x+1) lgdogf] A190988 21.5464 [x/(6*x^2-10*x+1) ogf] A190988 27.8194 [-2*(-5+6*x)/(6*x^2+1-10*x) lgdogf] A190988 8.93385 [{a(n+2)-10*a(n+1)+6*a(n),a(0)=0,a(1)=1} ogf] A190989 12.2096 [-7*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190989 14.3642 [-(14*x-10)/(7*x^2-10*x+1) lgdogf] A190989 21.5464 [x/(7*x^2-10*x+1) ogf] A190989 27.8194 [-2*(-5+7*x)/(7*x^2+1-10*x) lgdogf] A190989 8.93385 [{a(n+2)-10*a(n+1)+7*a(n),a(0)=0,a(1)=1} ogf] A190990 12.2096 [-8*f(x)*x^2+10*f(x)*x-f(x)+x ogf] A190990 14.3642 [-(16*x-10)/(8*x^2-10*x+1) lgdogf] A190990 21.5464 [x/(8*x^2-10*x+1) ogf] A190990 27.8194 [-2*(-5+8*x)/(8*x^2+1-10*x) lgdogf] A190990 8.93385 [{a(n+2)-10*a(n+1)+8*a(n),a(0)=0,a(1)=1} ogf] A190991 15.7285 [-(-12*x-14)/(-12*x^2+11*x+1) lgdogf] A190991 17.7800 [(12*x+1)/(x-1)^2 ogf] A190991 32.0799 [-2*(7+6*x)/(12*x+1)/(x-1) lgdogf] A190991 9.29409 [(13*f(x)+85)*(f(x)*x^2-2*f(x)*x+f(x)-12*x-1) ogf] A190991 9.85398 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=14} ogf] A190994 10.3236 [-(25*x^2-54*x-2)/(25*x^3-2*x^2-52*x+27) lgdogf] A190994 15.1559 [(25*x-27)/(x^2+x-1) ogf] A190994 18.8708 [-(-2-54*x+25*x^2)/(25*x-27)/(x^2+x-1) lgdogf] A190994 7.42005 [(22815*f(x)-615989)*(f(x)*x^2+f(x)*x-f(x)-25*x+27) ogf] A190994 8.58223 [{-a(n+2)+a(n+1)+a(n),a(0)=27,a(1)=2} ogf] A190995 12.3647 [-(2*x^2-18*x-7)/(2*x^3-7*x^2-11*x+9) lgdogf] A190995 18.1348 [(2*x-9)/(x^2+x-1) ogf] A190995 23.5772 [-(-7-18*x+2*x^2)/(2*x-9)/(x^2+x-1) lgdogf] A190995 8.8703 [-(25*f(x)-176)*(f(x)*x^2+f(x)*x-f(x)-2*x+9) ogf] A190995 9.95205 [{-a(n+2)+a(n+1)+a(n),a(0)=9,a(1)=7} ogf] A190996 11.6063 [-(-3*x^2+20*x+7)/(-3*x^3+7*x^2+13*x-10) lgdogf] A190996 16.9049 [(3*x-10)/(x^2+x-1) ogf] A190996 23.1300 [-(3*x+1)*(x-7)/(3*x-10)/(x^2+x-1) lgdogf] A190996 8.36154 [-(27*f(x)-221)*(f(x)*x^2+f(x)*x-f(x)-3*x+10) ogf] A190996 9.36896 [{-a(n+2)+a(n+1)+a(n),a(0)=10,a(1)=7} ogf] A191007 16.6692 [-(-6*x-3)/(-2*x^2-x+1) lgdogf] A191007 24.2461 [3/(x+1)/(2*x-1)^2 ogf] A191007 8.42232 [{-a(n+3)+3*a(n+2)-4*a(n),a(0)=3,a(1)=9,a(2)=27} ogf] A191007 9.41316 [-(f(x)-3)*(4*f(x)*x^3-3*f(x)*x+f(x)-3) ogf] A191008 16.2732 [-(-9*x-5)/(-3*x^2-2*x+1) lgdogf] A191008 19.0516 [1/(x+1)/(3*x-1)^2 ogf] A191008 6.91251 [{-a(n+3)+5*a(n+2)-3*a(n+1)-9*a(n),a(0)=1,a(1)=5,a(2)=22} ogf] A191008 7.7338 [(45*f(x)-13)*(9*f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A191010 14.7877 [-(-12*x-7)/(-4*x^2-3*x+1) lgdogf] A191010 17.2523 [1/(x+1)/(4*x-1)^2 ogf] A191010 6.35610 [{-a(n+3)+7*a(n+2)-8*a(n+1)-16*a(n),a(0)=1,a(1)=7,a(2)=41} ogf] A191010 7.03492 [(327*f(x)-52)*(16*f(x)*x^3+8*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A191012 6.15893 [x*(5*x^4+32*x^3+66*x^2+16*x+1)/(x-1)^6 ogf] A191012 9.75997 [-2*(11+106*x+5*x^4+58*x^3+180*x^2)/(x-1)/(5*x^4+32*x^3+66*x^2+16*x+1) lgdogf] A191014 11.8736 [-2*f(x)*x^2-10*f(x)*x+f(x)-x ogf] A191014 14.2484 [-(-4*x-10)/(-2*x^2-10*x+1) lgdogf] A191014 18.7478 [-x/(2*x^2+10*x-1) ogf] A191014 28.1314 [-2*(5+2*x)/(2*x^2-1+10*x) lgdogf] A191014 8.68802 [{-a(n+2)+10*a(n+1)+2*a(n),a(0)=0,a(1)=1} ogf] A191111 10.8125 [-(9900*x^11-9900*x^10+1089*x^2-1088*x-11)/(x-1)^2 ogf] A191111 9.81652 [10*(111-109*x+9900*x^9+8910*x^11-18810*x^10)/(x-1)/(9900*x^11-9900*x^10+1089*x^2-1088*x-11) lgdogf] A191153 5.15938 [-(-x^55+x^53+x^13+x^12+x^11-x^10-x^9-x^8+x^7+2*x^6+x^5-x^3+1)/(-x^53-x^7-x^6-x^5-1) ogf_with_Euler_transform] A191230 5.31581 [-(x^38-3*x^37-x^36-x^35-2*x^33-2*x^32-2*x^6-2*x^5-x^2-2*x-1)/(2*x^32+x+1)/(x^4+1)/(x-1)^2 ogf] A191231 5.87005 [(5*x^36-2*x^35+x^34+2*x^32+2*x^31+2*x^4+2*x^3+4)/(x^32+x^31+2)/(x^4+1)/(x-1)^2 ogf] A191237 15.9837 [5*x^4+3*x^2+1 lgdegf] A191237 43.3259 [1+3*x^2+5*x^4 lgdegf] A191241 29.3353 [-2*x^5-x^2+x revogf] A191241 33.0402 [-x*(x+1)*(2*x^3-2*x^2+2*x-1) revogf] A191242 16.6848 [-2*x^4-x^3-x^2+x revogf] A191242 32.7339 [-x*(2*x-1)*(x^2+x+1) revogf] A191272 11.4856 [-x*(5*x+4)/(4*x-1)/(x^2+x+1) ogf] A191272 12.9029 [-(17+24*x+40*x^3+63*x^2)/(4*x-1)/(5*x+4)/(x^2+x+1) lgdogf] A191272 5.5015 [-(20139*f(x)+25789)*(4*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+4*x) ogf] A191272 5.84534 [{-a(n+3)+3*a(n+2)+3*a(n+1)+4*a(n),a(0)=0,a(1)=4,a(2)=17} ogf] A191272 7.52503 [-(40*x^3+63*x^2+24*x+17)/(20*x^4+31*x^3+27*x^2+7*x-4) lgdogf] A191275 25.4258 [x^6-x^5-x+3 ogf_with_Euler_transform] A191275 8.68165 [x*(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A191276 17.6315 [x*(x^2+x+1)*(x^4+2*x^3-2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A191296 12.4158 [-4*(-9+56*x+80*x^3-118*x^2)/(x-1)/(2*x-1)/(4*x-1)/(24*x^3-42*x^2+41*x-11) lgdogf] A191296 12.4262 [(24*x^3-42*x^2+41*x-11)/(x-1)/(2*x-1)/(4*x-1) ogf] A191296 6.61539 [{a(n+4)-7*a(n+3)+14*a(n+2)-8*a(n+1),a(0)=11,a(1)=36,a(2)=140,a(3)=540} ogf] A191296 7.12821 [(243*f(x)-9193)*(8*f(x)*x^3-14*f(x)*x^2-24*x^3+7*f(x)*x+42*x^2-f(x)-41*x+11) ogf] A191296 7.85931 [-(320*x^3-472*x^2+224*x-36)/(192*x^6-672*x^5+1084*x^4-980*x^3+483*x^2-118*x+11) lgdogf] A191303 4.93103 [-(1729*x^4-8636*x^3+30010*x^2+56580*x+52029)/(x-1)^5 ogf] A191309 5.43461 [16*f(x)^2*x^4-16*f(x)^2*x^3-8*f(x)*x^3+x^4+4*f(x)^2*x+4*f(x)*x^2-f(x)^2+2*f(x)*x-f(x) ogf] A191309 7.46024 [2*I/x/(2*x-1)^(1/2)/(2*x+1)^(1/2)-2*(8*x^2+x-1)/(2*x-1)/(2*x+1)/x lgdogf] A191317 5.91333 [-f(x)^2*x^4+f(x)^2*x^3-2*f(x)^2*x^2-2*f(x)*x^3+f(x)^2*x+f(x)*x^2-2*f(x)*x-x^2+f(x)-1 ogf] A191319 11.1332 [-(16*x^3+2*x^2-10*x-2)/(4*x^4-5*x^2+1) lgdogf] A191319 15.7607 [-2*(-1-5*x+8*x^3+x^2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) lgdogf] A191321 15.3784 [1/2*(x+1)*(-x^2-2*x+(5*x^2+4*x+1)^(1/2)*(1+x^2)^(1/2)-1)/x^3 revogf] A191321 7.16044 [f(x)^3*x^4+f(x)^3*x^3-f(x)^3*x^2+3*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A191321 7.81681 [1/2*(5*x^2+4*x+1)^(1/2)*(x^2+1)^(1/2)/x^3*(x+1)-1/2*(x^3+3*x^2+3*x+1)/x^3 revogf] A191341 10.3399 [-(4*x-3)*(48*x^3-68*x^2+64*x-17)/(x-1)/(4*x-1)/(2*x-1)/(24*x^2-26*x+11) lgdogf] A191341 11.9199 [-(16*x^2-10*x+3)/(x-1)/(2*x-1)/(4*x-1) ogf] A191341 6.35728 [(3255*f(x)-2992)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+16*x^2-f(x)-10*x+3) ogf] A191341 6.63370 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=3,a(1)=11,a(2)=51} ogf] A191341 6.75111 [-(128*x^4-160*x^3+100*x^2-52*x+11)/(128*x^5-304*x^4+276*x^3-128*x^2+31*x-3) lgdogf] A191353 23.1963 [2*ln(x+1)*x+ln(x+1)+x lgdegf] A191353 6.45439 [(-1/2/(2*x+1)+ln(x+1)+1/2)*(2*x+1) lgdegf] A191354 10.2876 [-4*f(x)^2*x^3-3*f(x)^2*x^2-2*f(x)^2*x+f(x)^2-1 ogf] A191354 13.0202 [-(6*x^2+3*x+1)/(4*x^3+3*x^2+2*x-1) lgdogf] A191354 24.1085 [-(1+3*x+6*x^2)/(3*x^2-1+2*x+4*x^3) lgdogf] A191354 4.22992 [{(n+4)*a(n+4)+(-7-2*n)*a(n+3)+(-9-3*n)*a(n+2)+(-10-4*n)*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=9} ogf] A191365 13.3198 [I*(Pi*x-Pi+I*ln(x-1)*x-I*ln(x-1)+I)*exp(x)/(x-1) lgdegf] A191370 3.95027 [{a(n+4)-2*a(n+3)+a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=2} ogf] A191370 4.41292 [-(f(x)+3)*(2*f(x)*x^4-f(x)*x^3-5*x^3+2*f(x)*x-f(x)+1) ogf] A191370 7.94174 [-2*(-1-14*x^3+5*x^6+9*x^2)/(2*x-1)/(x+1)/(x^2-x+1)/(5*x^3-1) lgdogf] A191370 8.59356 [(5*x^3-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A191385 6.83333 [f(x)^2*x^4-f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x-f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A191386 4.66645 [{-8*a(n)*n+4*a(n+1)*n+(2*n+2)*a(n+2)+(-n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=5} ogf] A191386 7.72085 [-I/x/(2*x+1)^(1/2)/(2*x-1)^(1/2)-(4*x^2+2*x+1)/(2*x+1)/(2*x-1)/x lgdogf] A191388 6.48586 [-f(x)^2*x^4-2*f(x)^2*x^2-2*f(x)*x^3+3*f(x)^2*x-f(x)^2-4*f(x)*x-x^2+3*f(x)-2 ogf] A191389 5.8929 [4*f(x)^2*x^4-4*f(x)^2*x^3+f(x)^2*x^2-6*f(x)*x^3+x^4+3*f(x)*x^2+2*f(x)*x-f(x) ogf] A191389 8.83934 [3*I/x/(2*x+1)^(1/2)/(2*x-1)^(1/2)-(8*x-3)/(2*x-1)/x lgdogf] A191391 3.95716 [{8*a(n)*n^2+(-4*n^2+8)*a(n+1)+(-2*n^2-6*n+4)*a(n+2)+(n^2+3*n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=1,a(3)=3,a(4)=5} ogf] A191391 6.47256 [-4*f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2-x^3-3*f(x)*x+2*x^2+f(x)-x ogf] A191413 11.9468 [-(-12*x^2+2*x-8)/(-12*x^3+25*x^2-20*x+7) lgdogf] A191413 12.8950 [-(12*x^2-13*x+7)/(x-1)^3 ogf] A191413 22.1384 [-2*(4-x+6*x^2)/(x-1)/(12*x^2-13*x+7) lgdogf] A191413 6.55146 [-(1836*f(x)-12187)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)-13*x+7) ogf] A191413 7.18922 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=8,a(2)=15} ogf] A191422 6.89834 [(-x-2)/(x^2+x+1)+ln(x^2+x+1)+2 lgdegf] A191422 9.18347 [(x+ln(x^2+x+1)*x^2+ln(x^2+x+1)*x+ln(x^2+x+1)+2*x^2)/(x^2+x+1) lgdegf] A191465 10.4605 [-18*f(x)*x^2+11*f(x)*x-f(x)+7*x ogf] A191465 12.2710 [-(36*x-11)/(18*x^2-11*x+1) lgdogf] A191465 16.3613 [7*x/(9*x-1)/(2*x-1) ogf] A191465 23.3001 [-(-11+36*x)/(9*x-1)/(2*x-1) lgdogf] A191465 7.68783 [{a(n+2)-11*a(n+1)+18*a(n),a(0)=0,a(1)=7} ogf] A191466 10.4605 [-45*f(x)*x^2+14*f(x)*x-f(x)+4*x ogf] A191466 12.2710 [-(90*x-14)/(45*x^2-14*x+1) lgdogf] A191466 16.3613 [4*x/(9*x-1)/(5*x-1) ogf] A191466 22.4680 [-2*(-7+45*x)/(9*x-1)/(5*x-1) lgdogf] A191466 7.68783 [{a(n+2)-14*a(n+1)+45*a(n),a(0)=0,a(1)=4} ogf] A191467 10.4605 [-63*f(x)*x^2+16*f(x)*x-f(x)+2*x ogf] A191467 12.0394 [-(126*x-16)/(63*x^2-16*x+1) lgdogf] A191467 16.3613 [2*x/(9*x-1)/(7*x-1) ogf] A191467 22.4680 [-2*(-8+63*x)/(9*x-1)/(7*x-1) lgdogf] A191467 7.68783 [{a(n+2)-16*a(n+1)+63*a(n),a(0)=0,a(1)=2} ogf] A191468 11.1799 [-40*f(x)*x^2+13*f(x)*x-f(x)+3*x ogf] A191468 13.1148 [-(80*x-13)/(40*x^2-13*x+1) lgdogf] A191468 17.4865 [3*x/(8*x-1)/(5*x-1) ogf] A191468 24.9200 [-(-13+80*x)/(8*x-1)/(5*x-1) lgdogf] A191468 8.21653 [{a(n+2)-13*a(n+1)+40*a(n),a(0)=0,a(1)=3} ogf] A191484 4.84390 [(16*x^4+41*x^3+51*x^2+11*x+1)/(x+1)/(x-1)^6 ogf] A191484 6.43769 [-4*(4+41*x+61*x^4+131*x^3+12*x^5+111*x^2)/(x-1)/(x+1)/(16*x^4+41*x^3+51*x^2+11*x+1) lgdogf] A191489 4.61366 [-(x^2+10*x+1)*(x^4+16*x^3+26*x^2+16*x+1)/(x+1)/(x-1)^7 ogf] A191494 4.52855 [(64*x^6+645*x^5+1821*x^4+1786*x^3+666*x^2+57*x+1)/(x+1)/(x-1)^8 ogf] A191495 4.39135 [-(x^8+120*x^7+2284*x^6+9928*x^5+15654*x^4+9928*x^3+2284*x^2+120*x+1)/(x+1)/(x-1)^9 ogf] A191496 4.23090 [(256*x^8+7537*x^7+51463*x^6+122149*x^5+122275*x^4+51379*x^3+7573*x^2+247*x+1)/(x+1)/(x-1)^10 ogf] A191497 14.6683 [-x^4/(2*x-1)/(x^4+1) ogf] A191497 17.6882 [-2*(1+5*x^4-2*x^3)/(2*x-1)/(1+x^4) lgdogf] A191497 8.71594 [-(10*x^4-4*x^3+2)/(2*x^5-x^4+2*x-1) lgdogf] A191501 12.5179 [-4*x^3-4*x^2-4*x-3+4*f(x)-f(x)^2 ogf] A191501 3.94212 [{(-4*n+6)*a(n)-4*a(n+1)*n+(-4*n-6)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A191519 6.17439 [-f(x)^2*x^4-f(x)^2*x^3-f(x)^2*x^2+f(x)^2*x-f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A191520 4.04099 [16*f(x)^2*x^4+8*f(x)*x^5+x^6-16*f(x)^2*x^3-4*f(x)*x^4-10*f(x)*x^3+4*f(x)^2*x+5*f(x)*x^2-f(x)^2+2*f(x)*x-f(x) ogf] A191526 5.96341 [-2*f(x)^2*x^4+f(x)^2*x^3-4*f(x)^2*x^2+2*f(x)^2*x+2*f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A191527 4.15696 [{(-4*n^3-8*n^2-4*n)*a(n)+(-2*n^2+2)*a(n+1)+(n^3+2*n^2-3*n)*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A191529 6.47321 [-2*f(x)^2*x^2+2*f(x)*x^3-x^4+f(x)^2*x+3*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+3*x-1 ogf] A191531 4.19272 [-2*f(x)^2*x^5+9*f(x)^2*x^4-16*f(x)^2*x^3+14*f(x)^2*x^2-4*f(x)*x^3-6*f(x)^2*x+10*f(x)*x^2-2*x^3+f(x)^2-8*f(x)*x+3*x^2+2*f(x)-2*x ogf] A191559 10.7524 [-390625*f(x)*x+f(x)-25 ogf] A191560 11.2058 [-390625*f(x)*x+f(x)-15625 ogf] A191560 26.2620 [-390625/(-1+390625*x) lgdogf] A191566 12.0480 [(4*x-1)/(2*x+1)/(7*x-1) ogf] A191566 13.2251 [-(-1-28*x+56*x^2)/(2*x+1)/(7*x-1)/(4*x-1) lgdogf] A191566 6.15789 [(375*f(x)-374)*(14*f(x)*x^2+5*f(x)*x-f(x)-4*x+1) ogf] A191566 6.67723 [{-a(n+2)+5*a(n+1)+14*a(n),a(0)=1,a(1)=1} ogf] A191566 8.27179 [-(56*x^2-28*x-1)/(56*x^3+6*x^2-9*x+1) lgdogf] A191567 6.48582 [x*(2*x^10-6*x^8-x^7-36*x^6-12*x^5-52*x^4-3*x^3-30*x^2-4*x-6)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A191584 10.1852 [-(-9*x^4+6*x^3+13*x^2-8*x)/(-3*x^5+7*x^3-3*x^2-2*x+1) lgdogf] A191584 14.1926 [-(x-1)/(3*x^2-1)/(x^2+x-1) ogf] A191584 17.0967 [-x*(8+9*x^3-6*x^2-13*x)/(x-1)/(3*x^2-1)/(-1+x+x^2) lgdogf] A191584 7.15492 [(4*f(x)+1)*(3*f(x)*x^4+3*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A191585 5.47953 [36*f(x)^2*x^3+15*f(x)^2*x^2-14*f(x)^2*x-12*f(x)*x^2+2*f(x)^2+11*f(x)*x-2*f(x)+x ogf] A191586 5.29146 [5*f(x)^3*x^4-24*f(x)^3*x^3+4*f(x)^3*x^2-12*f(x)^3*x+4*f(x)^3-6*f(x)*x^2-3*f(x)*x-4*f(x)-x ogf] A191593 12.1200 [-2*(17+84*x+x^3+42*x^2)/(x-1)/(2*x^3+39*x^2+30*x+1) lgdogf] A191593 4.10295 [(15035904*f(x)+401757737)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-39*x^2+f(x)-30*x-1) ogf] A191593 7.34714 [-(2*x^3+84*x^2+168*x+34)/(2*x^4+37*x^3-9*x^2-29*x-1) lgdogf] A191593 7.99815 [(2*x^3+39*x^2+30*x+1)/(x-1)^4 ogf] A191596 15.8727 [-(3*x+11)/(x^2-1) lgdogf] A191596 32.1568 [[11-4*x] ogf_with_Euler_transform] A191596 33.3588 [-(11+3*x)/(x-1)/(x+1) lgdogf] A191596 5.21365 [{(-n-3)*a(n+3)+11*a(n+2)+(4+n)*a(n+1),a(0)=1,a(1)=11,a(2)=62} ogf] A191596 6.32097 [-(x+1)^4/(x-1)^7 ogf] A191597 12.8038 [-x*(3*x+1)/(4*x-1)/(x^2+x+1) ogf] A191597 14.6947 [-3*(2+2*x+8*x^3+7*x^2)/(3*x+1)/(-1+4*x)/(x^2+x+1) lgdogf] A191597 6.51619 [(1379*f(x)+795)*(4*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+x) ogf] A191597 6.57490 [{-a(n+3)+3*a(n+2)+3*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A191597 9.01005 [-(24*x^3+21*x^2+6*x+6)/(12*x^4+13*x^3+12*x^2-1) lgdogf] A191625 4.61252 [-2*f(x)^2*x^4+2*f(x)^2*x^3+2*f(x)*x^4+2*f(x)^2*x^2-4*f(x)*x^3-f(x)^2*x+2*x^3+6*f(x)*x-2*x^2-2*f(x)-x+2 ogf] A191649 17.8576 [-(-3-x+2*x^3+3*x^2)/(-x^2+1-6*x+x^4+2*x^3) lgdogf] A191649 7.70437 [-f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A191649 9.53415 [-(2*x^3+3*x^2-x-3)/(x^4+2*x^3-x^2-6*x+1) lgdogf] A191651 7.58213 [-(x^8+x^7-x^5-2*x^4-2)/(x^3+x-1)/(x^6-x^4-1) ogf] A191662 12.5811 [(x^2+x+1)/(x+1)^2/(x-1)^2 egf] A191662 16.7799 [-(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(x^2+x+1) lgdegf] A191662 7.31757 [-(14*f(x)+9)*(f(x)*x^4-2*f(x)*x^2-x^2+f(x)-x-1) egf] A191662 9.96001 [-(2*x^3+3*x^2+6*x+1)/(x^4+x^3-x-1) lgdegf] A191680 4.13703 [x*(x^8+247*x^7+7573*x^6+51379*x^5+122275*x^4+122149*x^3+51463*x^2+7537*x+256)/(x+1)/(x-1)^10 ogf] A191681 10.4351 [-9*f(x)*x^2+10*f(x)*x-f(x)+4*x ogf] A191681 12.2766 [-(18*x-10)/(9*x^2-10*x+1) lgdogf] A191681 16.4765 [4*x/(9*x-1)/(x-1) ogf] A191681 44.4405 [-2*(-5+9*x)/(9*x-1)/(x-1) lgdogf] A191681 7.63546 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=4} ogf] A191682 4.48634 [-2*(x^15+x^7+x^3+x+1)/(x-1) ogf] A191697 14.7398 [-2*x*(3*x+2)/(2*x^3+2*x^2-1) ogf] A191697 8.22323 [-(19*f(x)-35)*(2*f(x)*x^3+2*f(x)*x^2+6*x^2-f(x)+4*x) ogf] A191697 8.40008 [{-a(n+3)+2*a(n+1)+2*a(n),a(0)=0,a(1)=4,a(2)=6} ogf] A191697 9.41213 [-(12*x^3+18*x^2+8*x+3)/(6*x^4+10*x^3+4*x^2-3*x-2) lgdogf] A191698 4.37349 [x*(3*x^4+58*x^3+139*x^2+128*x+38)/(x+1)^2/(x-1)^4 ogf] A191721 5.88722 [(61*f(x)+35)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+5*f(x)*x-f(x)-4*x+1) ogf] A191721 8.21340 [-(x^3-x^2-3*x+1)/(x-1)/(x^3-x^2-4*x+1) ogf] A191721 8.26293 [-(2-8*x-4*x^4+6*x^3+x^6-2*x^5+11*x^2)/(x-1)/(x^3-x^2-4*x+1)/(x^3-x^2-3*x+1) lgdogf] A191745 15.1954 [-2*(68+71*x+5*x^2)/(x-1)/(5*x^2+44*x+23) lgdogf] A191745 4.17647 [(1383168*f(x)+32730103)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-44*x^2+f(x)-23*x) ogf] A191745 8.24157 [x*(5*x^2+44*x+23)/(x-1)^4 ogf] A191745 8.58497 [-(10*x^2+142*x+136)/(5*x^3+39*x^2-21*x-23) lgdogf] A191754 55.0257 [1 ogf_with_Euler_transform] A191759 12.1610 [-(x^4+9*x^3+5*x^2+9*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A191760 7.47509 [-(x^8+9*x^7+7*x^6+4*x^5+9*x^4+4*x^3+7*x^2+9*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A191761 7.32973 [-(3+6*x+10*x^4+9*x^6+12*x^5+6*x^2+4*x^7)/(x-1)/(x+1)/(2+x+2*x^2)/(x^4+x^3+x^2+x+1) lgdogf] A191761 9.08439 [-2*x*(x+1)*(2*x^2+x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A191762 5.50994 [-(9*x^8+4*x^7+7*x^6+9*x^5+x^4+x^3+9*x^2+7*x+4)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A191797 12.8971 [-x^3/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A191797 13.0614 [-(3+2*x+5*x^4-4*x^3-15*x^2)/(x+1)/(x^2-3*x+1)/(-1+x+x^2) lgdogf] A191797 6.72412 [-f(x)*x^5+f(x)*x^4+5*f(x)*x^3-f(x)*x^2-x^3-3*f(x)*x+f(x) ogf] A191797 8.11055 [-(5*x^4-4*x^3-15*x^2+2*x+3)/(x^5-x^4-5*x^3+x^2+3*x-1) lgdogf] A191821 6.18023 [-2*(4*x^5-22*x^4+31*x^3-19*x^2+6*x-1)/(2*x-1)^3/(x-1)^3 ogf] A191821 7.63181 [-(3-10*x+100*x^4-64*x^3+8*x^6-64*x^5+24*x^2)/(x-1)/(2*x-1)/(4*x^5-22*x^4+31*x^3-19*x^2+6*x-1) lgdogf] A191830 11.4154 [-x^2*(3*x-2)/(x^2+x-1)^2 ogf] A191830 12.3073 [-(-9*x^2+5*x+1)/(-3*x^3-x^2+5*x-2) lgdogf] A191830 22.9511 [-(-1-5*x+9*x^2)/(3*x-2)/(-1+x+x^2) lgdogf] A191830 4.45008 [{(-n^2-17*n-30)*a(n+1)+(-n^2-16*n-7)*a(n+2)+(n^2+15*n+14)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A191830 5.83456 [-(26*f(x)+85)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+3*x^3-2*f(x)*x-2*x^2+f(x)) ogf] A191869 7.12604 [-x^2*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^11+x^9+x^7+x^5+x^3+x-1) ogf] A191899 4.67878 [-16*x*(8*x^6+141*x^5+624*x^4+974*x^3+624*x^2+141*x+8)/(x+1)/(x-1)^9 ogf] A191900 4.39744 [x*(x^6+57*x^5+666*x^4+1786*x^3+1821*x^2+645*x+64)/(x+1)/(x-1)^8 ogf] A191901 6.67568 [-4*x*(8*x^4+43*x^3+78*x^2+43*x+8)/(x+1)/(x-1)^7 ogf] A191901 7.07169 [-(32*x^5+263*x^4+758*x^3+898*x^2+478*x+91)/(8*x^6+43*x^5+70*x^4-70*x^2-43*x-8) lgdogf] A191901 9.92961 [-(91+478*x+898*x^2+758*x^3+263*x^4+32*x^5)/(x-1)/(x+1)/(8*x^4+43*x^3+78*x^2+43*x+8) lgdogf] A191902 6.16357 [x*(x^4+11*x^3+51*x^2+41*x+16)/(x+1)/(x-1)^6 ogf] A191902 8.77575 [-(121+419*x+534*x^2+314*x^3+49*x^4+3*x^5)/(x-1)/(x+1)/(x^4+11*x^3+51*x^2+41*x+16) lgdogf] A191903 16.6192 [-(5+12*x+9*x^2+4*x^3)/(x-1)/(x+1)/(x^2+x+1) lgdogf] A191903 28.7751 [-x^2+x+5 ogf_with_Euler_transform] A191903 8.95421 [-8*(x^2+x+1)*x/(x+1)/(x-1)^5 ogf] A191903 9.93549 [-(-4*x^3-9*x^2-12*x-5)/(-x^4-x^3+x+1) lgdogf] A191967 8.17676 [-(-4*x^4-20*x^3-24*x^2-20*x-4)/(-2*x^5-6*x^4-x^3+5*x^2+3*x+1) lgdogf] A191967 9.09549 [-x*(2*x^3+6*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A191968 14.8068 [(x+29)/(x^2-47*x+1) ogf] A191968 18.5089 [-(-1364+58*x+x^2)/(x+29)/(x^2-47*x+1) lgdogf] A191968 7.4034 [(32025*f(x)+1523)*(f(x)*x^2-47*f(x)*x+f(x)-x-29) ogf] A191968 7.99908 [{-a(n+2)+47*a(n+1)-a(n),a(0)=29,a(1)=1364} ogf] A191968 9.53315 [-(x^2+58*x-1364)/(x^3-18*x^2-1362*x+29) lgdogf] A191993 4.12693 [{(12*n^2+54*n+60)*a(n+1)+(-7*n^2-33*n-32)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=2,a(1)=6,a(2)=19} ogf] A191993 4.39554 [-36*f(x)^2*x^4+33*f(x)^2*x^3-10*f(x)^2*x^2-60*f(x)*x^3+f(x)^2*x+47*f(x)*x^2-12*f(x)*x-25*x^2+f(x)+14*x-2 ogf] A192019 5.49649 [(x^4-3*x^2+4*x+1)/(x+1)^2/(x^2-3*x+1)^2/(x^2+x-1)^2 ogf] A192021 13.7334 [-(24*x-10)/(8*x^2-6*x+1) lgdogf] A192021 17.1668 [-1/(2*x-1)/(4*x-1)^2 ogf] A192021 24.0761 [-2*(-5+12*x)/(4*x-1)/(2*x-1) lgdogf] A192021 5.86899 [{a(n+3)-10*a(n+2)+32*a(n+1)-32*a(n),a(0)=1,a(1)=10,a(2)=68} ogf] A192021 6.78808 [(10*f(x)+1)*(32*f(x)*x^3-32*f(x)*x^2+10*f(x)*x-f(x)+x) ogf] A192023 12.1558 [-(3*x^2-6*x-1)/(x-1)^4 ogf] A192023 12.7083 [-(-6*x^2+12*x+10)/(-3*x^3+9*x^2-5*x-1) lgdogf] A192023 22.2622 [-2*(-5-6*x+3*x^2)/(x-1)/(3*x^2-6*x-1) lgdogf] A192023 4.19374 [{(-n-4)*a(n+4)+(-5-5*n)*a(n+3)+(30+9*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=1,a(1)=10,a(2)=31,a(3)=68} ogf] A192023 6.25931 [(360*f(x)+4061)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-6*x-1) ogf] A192025 11.3828 [-(8*x^2-13*x-4)/(x-1)^4 ogf] A192025 11.7176 [-(-16*x^2+23*x+29)/(-8*x^3+21*x^2-9*x-4) lgdogf] A192025 20.0524 [-(-29-23*x+16*x^2)/(x-1)/(8*x^2-13*x-4) lgdogf] A192025 3.90587 [{(-4*n-16)*a(n+4)+(2-9*n)*a(n+3)+(65+21*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=4,a(1)=29,a(2)=84,a(3)=178} ogf] A192025 5.73236 [(10512*f(x)+416539)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+8*x^2+f(x)-13*x-4) ogf] A192031 4.49625 [(3*x^13+3*x^12-3*x^11-6*x^10-2*x^9-16*x^8+11*x^7+10*x^6-3*x^5+22*x^4-9*x^3-3*x^2-9)/(x+1)^2/(x-1)^3/(x^2+1)^3 ogf] A192033 12.3694 [x*(3*x^2+x+1)/(x-1)/(2*x-1)/(x+1) ogf] A192033 6.09098 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=10} ogf] A192033 6.53667 [-(1329*f(x)-94)*(2*f(x)*x^3-f(x)*x^2-3*x^3-2*f(x)*x-x^2+f(x)-x) ogf] A192033 9.03382 [-(-6*x^4-4*x^3-11*x^2+8*x+3)/(-6*x^5+x^4+5*x^3+x-1) lgdogf] A192068 12.6421 [-(-7-24*x^3+6*x^4+27*x^2)/(x-1)/(2*x-3)/(x+1)/(x^2-3*x+1) lgdogf] A192068 12.8194 [x*(2*x-3)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A192068 6.52414 [(6920*f(x)-859)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-2*x^2-f(x)+3*x) ogf] A192068 7.69162 [-(-6*x^4+24*x^3-27*x^2+7)/(-2*x^5+9*x^4-9*x^3-6*x^2+11*x-3) lgdogf] A192069 5.01855 [x*(x^4-3*x^3+4*x^2-2*x+1)/(x-1)/(x^2+x-1)^5 ogf] A192069 8.52349 [-(-4-4*x-40*x^3+50*x^4-28*x^5+7*x^6+20*x^2)/(x-1)/(x^2+x-1)/(x^4-3*x^3+4*x^2-2*x+1) lgdogf] A192080 10.7522 [-6*(1-5*x-10*x^3+5*x^4+10*x^2)/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) lgdogf] A192080 12.1471 [-1/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A192096 27.7103 [2/(-x^2+1) ogf_with_Euler_transform] A192096 99.9999 Evaluated at exp(-Pi) exp(1/12*Pi)*2^(3/4) A192107 11.3337 [-(500*x-55)/(250*x^2-55*x+1) lgdogf] A192107 16.5411 [25/(50*x-1)/(5*x-1) ogf] A192107 6.58085 [(11111*f(x)+88250)*(250*f(x)*x^2-55*f(x)*x+f(x)-25) ogf] A192107 6.87662 [{-a(n+2)+55*a(n+1)-250*a(n),a(0)=25,a(1)=1375} ogf] A192132 7.97422 [2*f(x)^3*x-3*f(x)^2*x+3*f(x)*x-f(x)-x+1 ogf] A192136 12.8233 [-(-5*x^2-8*x-2)/(-5*x^3+6*x^2-2*x+1) lgdogf] A192136 13.4540 [-(5*x^2-x+1)/(x-1)^3 ogf] A192136 25.1628 [-(2+8*x+5*x^2)/(x-1)/(5*x^2-x+1) lgdogf] A192136 7.13647 [(275*f(x)-392)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-x+1) ogf] A192136 7.32762 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A192142 6.54326 [x*(x^4+5*x^2-2*x+3)/(x-1)/(x^2+x-1)^3 ogf] A192142 8.67742 [-(-10-12*x-26*x^3+29*x^4-2*x^5+3*x^6+25*x^2)/(x-1)/(x^2+x-1)/(x^4+5*x^2-2*x+3) lgdogf] A192143 6.28150 [(6*x^4-12*x^3+15*x^2-3*x+1)/(x-1)/(x^2+x-1)^3 ogf] A192143 7.59601 [-(-1-26*x-96*x^3+123*x^4-60*x^5+18*x^6+49*x^2)/(x-1)/(x^2+x-1)/(6*x^4-12*x^3+15*x^2-3*x+1) lgdogf] A192144 6.73823 [-x*(3*x^3-11*x^2+3*x-6)/(x-1)/(x^2+x-1)^3 ogf] A192144 9.38731 [-(21+28*x+46*x^3-61*x^4+12*x^5-57*x^2)/(x-1)/(x^2+x-1)/(3*x^3-11*x^2+3*x-6) lgdogf] A192145 6.27676 [(4*x^4-9*x^3+12*x^2-3*x+1)/(x-1)/(x^2+x-1)^3 ogf] A192145 7.69135 [-(-1-20*x-76*x^3+94*x^4-44*x^5+12*x^6+40*x^2)/(x-1)/(x^2+x-1)/(4*x^4-9*x^3+12*x^2-3*x+1) lgdogf] A192146 6.60805 [-x*(2*x^3-8*x^2+3*x-5)/(x-1)/(x^2+x-1)^3 ogf] A192146 9.36495 [-(17+20*x+38*x^3-44*x^4+8*x^5-47*x^2)/(x-1)/(x^2+x-1)/(2*x^3-8*x^2+3*x-5) lgdogf] A192218 6.37610 [-(x^35-2*x^34+x^30-3*x^29+x^28-x+2)/(x^34+x^29-1)/(x-1)^2 ogf] A192232 11.5935 [-(x^2+x-1)/(x^4+x^3-3*x^2-x+1) ogf] A192232 13.6084 [-x*(4-2*x^2+4*x^3+2*x^4-5*x)/(x^2+x-1)/(x^4+x^3-3*x^2-x+1) lgdogf] A192232 5.9698 [-(16*f(x)+1)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)+x-1) ogf] A192232 7.40698 [-(2*x^5+4*x^4-2*x^3-5*x^2+4*x)/(x^6+2*x^5-3*x^4-5*x^3+3*x^2+2*x-1) lgdogf] A192234 10.3500 [-2*(x+1)*(x^4-5*x^3+7*x^2-x+2)/(x^2-2*x-1)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A192234 5.35562 [(2*f(x)-11)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x+2*x^2+f(x)-x) ogf] A192234 9.49449 [-x*(x^2-2*x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A192235 10.3510 [-2*(x^2-x-4)*(x^3-3*x^2-x-1)/(x-3)/(x+1)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A192235 4.6691 [-(12946*f(x)+4905)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)-3*x) ogf] A192235 9.21029 [-x*(x+1)*(x-3)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A192236 14.1923 [2/(x^4-2*x^3-2*x^2-2*x+1) ogf] A192236 14.5157 [-2*(-1-2*x+2*x^3-3*x^2)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A192236 5.60824 [-(103*f(x)+10)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+f(x)-2) ogf] A192236 8.69278 [-(4*x^3-6*x^2-4*x-2)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A192237 14.7569 [1/(x^4-2*x^3-2*x^2-2*x+1) ogf] A192237 15.1012 [-2*(-1-2*x+2*x^3-3*x^2)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A192237 7.96398 [-(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2-x^3-2*f(x)*x+f(x)) ogf] A192237 9.03859 [-(4*x^3-6*x^2-4*x-2)/(x^4-2*x^3-2*x^2-2*x+1) lgdogf] A192240 10.577 [11*f(x)*x^2-7*f(x)*x+f(x)+4*x-1 ogf] A192240 14.7158 [-(4*x-1)/(11*x^2-7*x+1) ogf] A192240 17.0311 [-(3-22*x+44*x^2)/(4*x-1)/(11*x^2-7*x+1) lgdogf] A192240 8.15572 [{a(n+2)-7*a(n+1)+11*a(n),a(0)=1,a(1)=3} ogf] A192240 9.81051 [-(-44*x^2+22*x-3)/(-44*x^3+39*x^2-11*x+1) lgdogf] A192243 11.7580 [-(2*x^2-2*x+1)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A192243 6.3472 [(85*f(x)-24)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A192243 9.64063 [-(1+4*x+16*x^3-12*x^4+4*x^5-15*x^2)/(x-1)/(x+1)/(x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A192244 6.43197 [-(3*x^3-6*x^2+3*x-1)/(x-1)/(x^2+x-1)^3 ogf] A192244 8.83367 [-(1+8*x+36*x^3-36*x^4+12*x^5-22*x^2)/(x-1)/(x^2+x-1)/(3*x^3-6*x^2+3*x-1) lgdogf] A192245 10.8272 [-(-9-4*x-22*x^3+10*x^4+27*x^2)/(x-1)/(2*x^2-3*x+3)/(x^2+x-1) lgdogf] A192245 6.80240 [x*(2*x^2-3*x+3)/(x-1)/(x^2+x-1)^3 ogf] A192246 5.56320 [-(5*x^4-12*x^3+12*x^2-4*x+1)/(x-1)/(x^2+x-1)^4 ogf] A192246 7.73680 [-(-1-15*x-100*x^3+135*x^4-87*x^5+25*x^6+45*x^2)/(x-1)/(x^2+x-1)/(5*x^4-12*x^3+12*x^2-4*x+1) lgdogf] A192247 5.58479 [x*(x-2)*(3*x^2-2*x+2)/(x-1)/(x^2+x-1)^4 ogf] A192247 9.14631 [-(14+10*x+75*x^3-65*x^4+18*x^5-55*x^2)/(x-1)/(x-2)/(3*x^2-2*x+2)/(x^2+x-1) lgdogf] A192248 4.53179 [-(8*x^5-25*x^4+30*x^3-20*x^2+5*x-1)/(x-1)/(x^2+x-1)^5 ogf] A192249 4.72442 [5*x*(x^4-3*x^3+4*x^2-2*x+1)/(x-1)/(x^2+x-1)^5 ogf] A192249 8.18999 [-(-4-4*x-40*x^3+50*x^4-28*x^5+7*x^6+20*x^2)/(x-1)/(x^2+x-1)/(x^4-3*x^3+4*x^2-2*x+1) lgdogf] A192252 3.47724 [{(n^2+7*n+12)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=9} ogf] A192253 3.50815 [{(n^2+7*n+12)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=15} ogf] A192254 6.14712 [(2*x^4-6*x^3+9*x^2-3*x+1)/(x-1)/(x^2+x-1)^3 ogf] A192254 7.63293 [-(-1-14*x-56*x^3+65*x^4-28*x^5+6*x^6+31*x^2)/(x-1)/(x^2+x-1)/(2*x^4-6*x^3+9*x^2-3*x+1) lgdogf] A192255 6.57566 [-x*(x^3-5*x^2+3*x-4)/(x-1)/(x^2+x-1)^3 ogf] A192255 9.58085 [-(13+12*x+30*x^3-27*x^4+4*x^5-37*x^2)/(x-1)/(x^2+x-1)/(x^3-5*x^2+3*x-4) lgdogf] A192256 4.92497 [-(2*x^6-16*x^5+43*x^4-36*x^3+29*x^2-4*x+1)/(x-1)/(x^2+x-1)^4 ogf] A192257 4.90444 [x*(x^5-12*x^4+19*x^3-36*x^2+5*x-8)/(x-1)/(x^2+x-1)^4 ogf] A192299 5.69774 [-(x^5-3*x^4+3*x^3-7*x^2+3*x-1)/(x-1)/(x^2+x-1)^3 ogf] A192299 6.80240 [-(1+2*x^7+10*x+50*x^3-58*x^4+24*x^5-11*x^6-22*x^2)/(x-1)/(x^2+x-1)/(x^5-3*x^4+3*x^3-7*x^2+3*x-1) lgdogf] A192304 6.92245 [(x^3-4*x^2+2*x-1)/(x-1)/(x^2+x-1)^2 ogf] A192304 8.33048 [-(1+7*x+15*x^3-13*x^4+2*x^5-14*x^2)/(x-1)/(x^2+x-1)/(x^3-4*x^2+2*x-1) lgdogf] A192305 10.5342 [-(-6*x^4+10*x^3-9*x^2+3*x+1)/(-2*x^5+2*x^4+3*x^3-6*x^2+4*x-1) lgdogf] A192305 13.2704 [-2*(2*x^2-2*x+1)/(x-1)/(x^2+x-1)^2 ogf] A192305 18.6493 [-(x^2-x+1)*(6*x^2-4*x-1)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A192305 4.54142 [{(n^2+9*n+20)*a(n+1)+(-5-n)*a(n+2)+(-2*n^2-15*n-27)*a(n+3)+(n^2+7*n+12)*a(n+4),a(0)=2,a(1)=2,a(2)=8,a(3)=16} ogf] A192306 10.0106 [2*x*(x-2)/(x-1)/(x^2+x-1)^2 ogf] A192306 17.5678 [-(5+x+4*x^3-11*x^2)/(x-2)/(x-1)/(x^2+x-1) lgdogf] A192306 9.02186 [-(-4*x^3+11*x^2-x-5)/(-x^4+2*x^3+2*x^2-5*x+2) lgdogf] A192307 11.0854 [-(x^2-x+1)*(6*x^2-4*x-1)/(x-1)/(2*x^2-2*x+1)/(x^2+x-1) lgdogf] A192307 7.95086 [-3*(2*x^2-2*x+1)/(x-1)/(x^2+x-1)^2 ogf] A192308 15.0980 [-(5+x+4*x^3-11*x^2)/(x-2)/(x-1)/(x^2+x-1) lgdogf] A192308 7.76817 [-(-4*x^3+11*x^2-x-5)/(-x^4+2*x^3+2*x^2-5*x+2) lgdogf] A192308 8.61948 [3*x*(x-2)/(x-1)/(x^2+x-1)^2 ogf] A192309 7.20254 [(x^3-6*x^2+4*x-2)/(x-1)/(x^2+x-1)^2 ogf] A192309 8.55159 [-(2+10*x+25*x^3-19*x^4+2*x^5-23*x^2)/(x-1)/(x^2+x-1)/(x^3-6*x^2+4*x-2) lgdogf] A192310 10.8600 [-(-13-5*x-9*x^3+3*x^4+28*x^2)/(x-1)/(x^2-2*x+5)/(x^2+x-1) lgdogf] A192310 7.76817 [-x*(x^2-2*x+5)/(x-1)/(x^2+x-1)^2 ogf] A192311 7.12252 [(2*x^3-6*x^2+2*x-1)/(x-1)/(x^2+x-1)^2 ogf] A192311 8.21957 [-(1+11*x+20*x^3-20*x^4+4*x^5-19*x^2)/(x-1)/(x^2+x-1)/(2*x^3-6*x^2+2*x-1) lgdogf] A192312 10.8003 [-(-11-7*x-6*x^3+6*x^4+23*x^2)/(x-1)/(2*x^2-x+4)/(x^2+x-1) lgdogf] A192312 6.95357 [-(-6*x^4+6*x^3-23*x^2+7*x+11)/(-2*x^5+x^4-4*x^2+9*x-4) lgdogf] A192312 7.72619 [-x*(2*x^2-x+4)/(x-1)/(x^2+x-1)^2 ogf] A192313 2.42208 [-(4*f(x)-1)*(f(x)*x^4+6*f(x)*x^3+f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A192313 4.43523 [(x+1)*(x^2-3*x+1)/(x^4+6*x^3+x^2-4*x+1) ogf] A192323 99.9999 Evaluated at exp(-Pi) 1/1600*5^(3/4)*GAMMA(2/3)/GAMMA(3/4)^3*GAMMA(7/12)*(5-5^(1/2))^(3/2)*(1+3^(1/2))*(5^(1/2)+1)^3 A192328 7.16704 [-3*(9*x^4+40*x^3+102*x^2+40*x+9)/(x+1)^2/(x-1)^3 ogf] A192328 8.65289 [-(49+289*x+382*x^3+89*x^4+9*x^5+382*x^2)/(x-1)/(x+1)/(9*x^4+40*x^3+102*x^2+40*x+9) lgdogf] A192333 9.24340 [x*(7*x^4+2*x^3+2*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A192337 3.10369 [-f(x)*x^4-6*f(x)*x^3-f(x)*x^2-x^3+4*f(x)*x-x^2-f(x)+x ogf] A192337 4.71930 [-x*(x^2+x-1)/(x^4+6*x^3+x^2-4*x+1) ogf] A192338 2.15731 [(9*f(x)-5)*(4*f(x)*x^4+10*f(x)*x^3-f(x)*x^2-2*x^3-4*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A192338 3.81677 [(2*x^3-3*x^2-2*x+1)/(4*x^2+2*x-1)/(x^2+2*x-1) ogf] A192339 2.13636 [-(4*f(x)-1)*(4*f(x)*x^4+10*f(x)*x^3-f(x)*x^2+2*x^3-4*f(x)*x+x^2+f(x)-x) ogf] A192339 3.98403 [-x*(2*x-1)*(x+1)/(4*x^2+2*x-1)/(x^2+2*x-1) ogf] A192344 10.0070 [-(5*x^2+2*x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192344 4.96802 [-(15561*f(x)-2362)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2-2*f(x)*x+5*x^2+f(x)+2*x-1) ogf] A192344 9.33402 [-2*x*(5-6*x^2+42*x^3+45*x^4-14*x)/(5*x^2+2*x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192345 10.8603 [x*(3*x^2+1)/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192345 5.27045 [-(9842*f(x)-5659)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2-3*x^3-2*f(x)*x+f(x)-x) ogf] A192345 9.30273 [-2*(-1-13*x+18*x^3+9*x^4+27*x^5+12*x^2)/(3*x^2+1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192346 10.1741 [-(x+1)*(3*x-1)/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192346 10.1783 [-2*x*(3+2*x^2+6*x^3+3*x^4-6*x)/(3*x-1)/(x+1)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192346 5.08705 [-(1125*f(x)-308)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A192347 10.2755 [x*(x^2+1)/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192347 10.2834 [-2*(x-1)*(x^4+2*x^3+4*x^2+8*x+1)/(1+x^2)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192347 5.05992 [-(102*f(x)+29)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-x^3-2*f(x)*x+f(x)-x) ogf] A192348 10.2254 [-4*x*(2+10*x^3+8*x^4-5*x)/(4*x^2+2*x-1)/(4*x^4+4*x^3-8*x^2-2*x+1) lgdogf] A192348 5.03303 [-(33*f(x)-7)*(4*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+2*x-1) ogf] A192348 9.77430 [-(4*x^2+2*x-1)/(4*x^4+4*x^3-8*x^2-2*x+1) ogf] A192349 10.6765 [x*(2*x^2+1)/(4*x^4+4*x^3-8*x^2-2*x+1) ogf] A192349 5.21785 [-(438*f(x)+137)*(4*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2-2*x^3-2*f(x)*x+f(x)-x) ogf] A192349 9.50279 [-2*(-1-10*x+8*x^3+4*x^4+8*x^5+8*x^2)/(2*x^2+1)/(4*x^4+4*x^3-8*x^2-2*x+1) lgdogf] A192350 4.73635 [-(1131*f(x)-106)*(16*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2-2*f(x)*x+6*x^2+f(x)+2*x-1) ogf] A192350 8.83017 [-4*x*(3-8*x^2+36*x^3+48*x^4-9*x)/(6*x^2+2*x-1)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192350 9.33928 [-(6*x^2+2*x-1)/(16*x^4+8*x^3-12*x^2-2*x+1) ogf] A192351 10.1851 [x*(4*x^2+1)/(16*x^4+8*x^3-12*x^2-2*x+1) ogf] A192351 5.09255 [-(142*f(x)+47)*(16*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2-4*x^3-2*f(x)*x+f(x)-x) ogf] A192351 8.62495 [-2*(-1-16*x+32*x^3+16*x^4+64*x^5+16*x^2)/(4*x^2+1)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192352 5.00462 [(24*f(x)-109)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2+x^3+2*f(x)*x-x^2-f(x)-2*x+1) ogf] A192352 9.09931 [-(x^3-x^2-2*x+1)/(x^2-3*x+1)/(x^2-x-1) ogf] A192352 9.58949 [-x*(4+16*x^2-5*x^3-2*x^4+x^5-13*x)/(x^2-3*x+1)/(x^2-x-1)/(x^3-x^2-2*x+1) lgdogf] A192353 4.90966 [(22055*f(x)-4794)*(5*f(x)*x^4+10*f(x)*x^3-9*f(x)*x^2-x^3-2*f(x)*x+4*x^2+f(x)+2*x-1) ogf] A192353 8.35731 [-x*(-10-16*x^2-61*x^3-40*x^4+5*x^5+37*x)/(x^2+3*x+1)/(5*x^2-5*x+1)/(x^3-4*x^2-2*x+1) lgdogf] A192353 9.12694 [(x^3-4*x^2-2*x+1)/(x^2+3*x+1)/(5*x^2-5*x+1) ogf] A192354 4.73906 [{-a(n+4)+2*a(n+3)+9*a(n+2)-10*a(n+1)-5*a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=14} ogf] A192354 4.80627 [-(120*f(x)-49)*(5*f(x)*x^4+10*f(x)*x^3-9*f(x)*x^2-3*x^3-2*f(x)*x+x^2+f(x)-x) ogf] A192354 9.15791 [x*(3*x^2-x+1)/(x^2+3*x+1)/(5*x^2-5*x+1) ogf] A192354 9.67986 [-(-1-24*x+15*x^4+30*x^5+45*x^2)/(x^2+3*x+1)/(3*x^2-x+1)/(5*x^2-5*x+1) lgdogf] A192355 10.0037 [(2*x^3-5*x^2-2*x+1)/(x-1)/(3*x+1)/(4*x-1) ogf] A192355 10.3013 [2*x*(6+20*x^2+19*x^3-21*x)/(x-1)/(3*x+1)/(4*x-1)/(2*x^3-5*x^2-2*x+1) lgdogf] A192355 5.34035 [{-a(n+4)+2*a(n+3)+11*a(n+2)-12*a(n+1),a(0)=1,a(1)=0,a(2)=6,a(3)=2} ogf] A192355 5.59264 [(-3763+5950*f(x))*(12*f(x)*x^3-11*f(x)*x^2-2*x^3-2*f(x)*x+5*x^2+f(x)+2*x-1) ogf] A192356 4.87637 [{a(n+4)-2*a(n+3)-11*a(n+2)+12*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=15} ogf] A192356 6.61984 [(f(x)-1)*(12*f(x)*x^3-11*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)-x) ogf] A192356 9.75273 [x*(2*x^2-x+1)/(x-1)/(3*x+1)/(4*x-1) ogf] A192356 9.90425 [-(-1-26*x-24*x^3+24*x^4+51*x^2)/(x-1)/(3*x+1)/(4*x-1)/(2*x^2-x+1) lgdogf] A192357 4.27248 [(5124920*f(x)-349889)*(55*f(x)*x^4+20*f(x)*x^3-19*f(x)*x^2-x^3-2*f(x)*x+9*x^2+f(x)+2*x-1) ogf] A192357 6.98473 [-x*(-20+144*x^2-491*x^3-990*x^4+55*x^5+77*x)/(11*x^2-7*x+1)/(1+5*x^2+5*x)/(x^3-9*x^2-2*x+1) lgdogf] A192357 8.06430 [(x^3-9*x^2-2*x+1)/(5*x^2+5*x+1)/(11*x^2-7*x+1) ogf] A192358 4.51502 [{-a(n+4)+2*a(n+3)+19*a(n+2)-20*a(n+1)-55*a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=29} ogf] A192358 4.54638 [-(225*f(x)-167)*(55*f(x)*x^4+20*f(x)*x^3-19*f(x)*x^2-8*x^3-2*f(x)*x+x^2+f(x)-x) ogf] A192358 8.06430 [-(-1-54*x+180*x^3-5*x^4+880*x^5+95*x^2)/(1+5*x^2+5*x)/(11*x^2-7*x+1)/(8*x^2-x+1) lgdogf] A192358 8.61418 [x*(8*x^2-x+1)/(5*x^2+5*x+1)/(11*x^2-7*x+1) ogf] A192370 12.3226 [-(320*x-44)/(160*x^2-44*x+1) lgdogf] A192370 17.9844 [20/(40*x-1)/(4*x-1) ogf] A192370 7.15507 [(11111*f(x)+70600)*(160*f(x)*x^2-44*f(x)*x+f(x)-20) ogf] A192370 7.56161 [{-a(n+2)+44*a(n+1)-160*a(n),a(0)=20,a(1)=880} ogf] A192373 10.2397 [-(x+1)*(3*x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192373 5.19407 [-(1313*f(x)+43)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2-2*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A192373 9.55416 [-2*x*(7-6*x^2+36*x^3+27*x^4-16*x)/(3*x-1)/(x+1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192374 12.3986 [2*x/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192374 13.1974 [-2*(x+1)*(18*x^2-9*x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192374 5.35621 [-(193*f(x)+81)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2-2*f(x)*x+f(x)-2*x) ogf] A192374 7.97056 [-(-36*x^3-18*x^2+20*x+2)/(-9*x^4-6*x^3+10*x^2+2*x-1) lgdogf] A192375 12.9399 [-2*(x+1)*(18*x^2-9*x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192375 13.1330 [x/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192375 5.25321 [-(181*f(x)-24)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A192375 7.81729 [-(-36*x^3-18*x^2+20*x+2)/(-9*x^4-6*x^3+10*x^2+2*x-1) lgdogf] A192376 10.1521 [-(2*x^3-8*x^2+14*x)/(x^4-4*x^3+4*x-1) lgdogf] A192376 10.1521 [(x-1)^2/(x^2-4*x+1)/(x+1)^2 ogf] A192376 17.2679 [-2*x*(7+x^2-4*x)/(x-1)/(x+1)/(x^2-4*x+1) lgdogf] A192376 3.55580 [{(n+4)*a(n+1)+(-3*n-13)*a(n+2)+(-3*n-8)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=0,a(2)=7,a(3)=16} ogf] A192376 5.15067 [-(431*f(x)+21)*(f(x)*x^4-2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x-x^2+f(x)+2*x-1) ogf] A192377 10.7768 [-(-4*x^2+10*x+2)/(-x^3+3*x^2+3*x-1) lgdogf] A192377 13.2168 [2*x/(x^2-4*x+1)/(x+1)^2 ogf] A192377 19.7348 [-2*(-1-5*x+2*x^2)/(x+1)/(x^2-4*x+1) lgdogf] A192377 3.55580 [{(-3-n)*a(n+4)+(8+3*n)*a(n+3)+(13+3*n)*a(n+2)+(-n-4)*a(n+1),a(0)=0,a(1)=2,a(2)=4,a(3)=20} ogf] A192377 5.88648 [(23*f(x)-17)*(f(x)*x^4-2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+f(x)-2*x) ogf] A192378 10.4760 [-(-4*x^2+10*x+2)/(-x^3+3*x^2+3*x-1) lgdogf] A192378 13.8968 [x/(x^2-4*x+1)/(x+1)^2 ogf] A192378 19.1762 [-2*(-1-5*x+2*x^2)/(x+1)/(x^2-4*x+1) lgdogf] A192378 3.45656 [{(-3-n)*a(n+4)+(8+3*n)*a(n+3)+(13+3*n)*a(n+2)+(-n-4)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=10} ogf] A192378 5.62762 [-(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A192379 10.2325 [-2*x*(5+2*x^2+4*x^3+x^4-8*x)/(x^2+2*x-1)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192379 4.85147 [-(2057*f(x)-13)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+x^2+f(x)+2*x-1) ogf] A192379 9.63264 [-(x^2+2*x-1)/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192380 13.9918 [2*x/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192380 15.5676 [-2*(-1-6*x+2*x^3+3*x^2)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192380 6.02897 [-(57*f(x)+17)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+f(x)-2*x) ogf] A192380 9.15511 [-(4*x^3+6*x^2-12*x-2)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192381 14.6631 [x/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192381 15.0767 [-2*(-1-6*x+2*x^3+3*x^2)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192381 5.79429 [-(114*f(x)+17)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A192381 8.87028 [-(4*x^3+6*x^2-12*x-2)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192382 11.3479 [-8*f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A192382 13.6638 [-(-16*x-2)/(-8*x^2-2*x+1) lgdogf] A192382 18.0953 [-2*x/(2*x+1)/(4*x-1) ogf] A192382 25.3796 [-2*(1+8*x)/(2*x+1)/(4*x-1) lgdogf] A192382 8.26577 [{-a(n+2)+2*a(n+1)+8*a(n),a(0)=0,a(1)=2} ogf] A192383 10.1048 [-(2*x^2+2*x-1)/(4*x^4+4*x^3-8*x^2-2*x+1) ogf] A192383 10.7415 [-4*x*(3+8*x^3+4*x^4-6*x)/(2*x^2+2*x-1)/(4*x^4+4*x^3-8*x^2-2*x+1) lgdogf] A192383 5.16469 [-(365*f(x)+3)*(4*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A192384 12.3289 [2*x/(4*x^4+4*x^3-8*x^2-2*x+1) ogf] A192384 13.1383 [-2*(-1-8*x+8*x^3+6*x^2)/(4*x^4+4*x^3-8*x^2-2*x+1) lgdogf] A192384 5.31245 [-(29*f(x)+11)*(4*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+f(x)-2*x) ogf] A192384 7.87269 [-(-16*x^3-12*x^2+16*x+2)/(-4*x^4-4*x^3+8*x^2+2*x-1) lgdogf] A192385 12.7441 [-2*(-1-8*x+8*x^3+6*x^2)/(4*x^4+4*x^3-8*x^2-2*x+1) lgdogf] A192385 12.9412 [x/(4*x^4+4*x^3-8*x^2-2*x+1) ogf] A192385 5.15544 [-(58*f(x)+11)*(4*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A192385 7.63999 [-(-16*x^3-12*x^2+16*x+2)/(-4*x^4-4*x^3+8*x^2+2*x-1) lgdogf] A192386 4.99399 [-(16*f(x)+1)*(16*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+2*x-1) ogf] A192386 9.04766 [-8*x*(2-4*x^2+16*x^3+16*x^4-5*x)/(4*x^2+2*x-1)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192386 9.56597 [-(4*x^2+2*x-1)/(16*x^4+8*x^3-12*x^2-2*x+1) ogf] A192387 12.6414 [2*x/(16*x^4+8*x^3-12*x^2-2*x+1) ogf] A192387 12.6967 [-2*(2*x-1)*(16*x^2+14*x+1)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192387 5.65266 [-(9*f(x)+4)*(16*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2-2*f(x)*x+f(x)-2*x) ogf] A192387 8.17974 [-(64*x^3+24*x^2-24*x-2)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192388 12.2794 [-2*(2*x-1)*(16*x^2+14*x+1)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192388 13.1911 [x/(16*x^4+8*x^3-12*x^2-2*x+1) ogf] A192388 5.46947 [-(9*f(x)+2)*(16*f(x)*x^4+8*f(x)*x^3-12*f(x)*x^2-2*f(x)*x+f(x)-x) ogf] A192388 7.91466 [-(64*x^3+24*x^2-24*x-2)/(16*x^4+8*x^3-12*x^2-2*x+1) lgdogf] A192389 14.8019 [-3*(2*x^2-1)*(1+x^2)/(x-1)/(2*x^2-x+1)/(-1+x^2+x) lgdogf] A192389 8.76139 [-(-6*x^4-3*x^2+3)/(-2*x^5+x^4+3*x^3-4*x^2+3*x-1) lgdogf] A192389 9.08589 [x*(2*x^2-x+1)/(x^2+x-1)/(x-1)^3 ogf] A192395 12.8570 [-x^3/(2*x^2-x+1)/(x^2+x-1) ogf] A192395 16.1371 [-(2-4*x+8*x^3+3*x^2)/(2*x^2-x+1)/(x^2+x-1) lgdogf] A192395 5.63159 [(f(x)+1)*(2*f(x)*x^4+f(x)*x^3-2*f(x)*x^2+x^3+2*f(x)*x-f(x)) ogf] A192395 8.51778 [-(-8*x^3-3*x^2+4*x-2)/(-2*x^4-x^3+2*x^2-2*x+1) lgdogf] A192398 14.0842 [-2*(17+51*x+x^3-9*x^2)/(x-1)/(x^3-7*x^2+29*x+1) lgdogf] A192398 4.17158 [{(100*n^2+859*n+1677)*a(n+1)+(-14*n^2+330*n+1226)*a(n+2)+(-86*n^2-445*n-561)*a(n+3),a(0)=1,a(1)=34,a(2)=153} ogf] A192398 9.24385 [-(x^3-7*x^2+29*x+1)/(x-1)^5 ogf] A192398 9.45883 [-(-2*x^3+18*x^2-102*x-34)/(-x^4+8*x^3-36*x^2+28*x+1) lgdogf] A192415 11.1744 [f(x)^3*x^4+f(x)^2*x^3+f(x)*x-f(x)+1 ogf] A192415 12.8231 [1/2*(-(1+x)^(1/2)+(2*x+1)^(1/2)*(2*x^2-x+1)^(1/2))/x^2/(1+x)^(1/2) revogf] A192415 9.35252 [-1/2/x^2+1/2/(x+1)^(1/2)*(2*x^2-x+1)^(1/2)/x^2*(2*x+1)^(1/2) revogf] A192417 11.1159 [-(-2-2*x+2*x^3+5*x^4+3*x^5-3*x^2)/(-2*x^2+1-4*x+x^4-2*x^3+x^6+2*x^5) lgdogf] A192417 6.86529 [-(3*x^5+5*x^4+2*x^3-3*x^2-2*x-2)/(x^6+2*x^5+x^4-2*x^3-2*x^2-4*x+1) lgdogf] A192418 16.8059 [-6*(2+5*x+x^2)/(x-1)/(3*x^2+8*x+1) lgdogf] A192418 4.11976 [(269622*f(x)+6181397)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-12*x^2+f(x)-32*x-4) ogf] A192418 8.23952 [4*(3*x^2+8*x+1)/(x-1)^4 ogf] A192418 8.86373 [-(6*x^2+30*x+12)/(3*x^3+5*x^2-7*x-1) lgdogf] A192421 11.0390 [-(3*x^2+2*x-2)/(x^4+x^3-3*x^2-x+1) ogf] A192421 12.1148 [-x*(6-4*x^2+9*x^3+6*x^4-9*x)/(3*x^2+2*x-2)/(x^4+x^3-3*x^2-x+1) lgdogf] A192421 5.51952 [-(1131*f(x)-212)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-f(x)*x+3*x^2+f(x)+2*x-2) ogf] A192422 11.3502 [x*(x^2+1)/(x^4+x^3-3*x^2-x+1) ogf] A192422 12.3267 [-(-1-8*x+4*x^3+x^4+2*x^5+4*x^2)/(x^2+1)/(x^4+x^3-3*x^2-x+1) lgdogf] A192422 5.54709 [-(174*f(x)-205)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x+f(x)-x) ogf] A192422 7.09388 [-(-2*x^5-x^4-4*x^3-4*x^2+8*x+1)/(-x^6-x^5+2*x^4+2*x^2+x-1) lgdogf] A192423 10.5225 [-x*(4-2*x^2+5*x^3+4*x^4-5*x)/(2*x-1)/(1+x)/(x^2+2*x-1)/(x^2-x-1) lgdogf] A192423 5.06401 [-(25*f(x)-13)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2-f(x)*x+4*x^2+f(x)+2*x-2) ogf] A192423 9.90784 [-2*(2*x-1)*(x+1)/(x^2+2*x-1)/(x^2-x-1) ogf] A192424 10.0973 [-x*(4-2*x^2+5*x^3+4*x^4-5*x)/(2*x-1)/(1+x)/(x^2+2*x-1)/(x^2-x-1) lgdogf] A192424 4.86245 [-(50*f(x)-13)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2-f(x)*x+2*x^2+f(x)+x-1) ogf] A192424 9.51351 [-(2*x-1)*(x+1)/(x^2+2*x-1)/(x^2-x-1) ogf] A192425 10.4652 [x*(x^2+1)/(x^2+2*x-1)/(x^2-x-1) ogf] A192425 10.6355 [-(x-1)*(2*x^4+3*x^3+7*x^2+11*x+1)/(x^2+2*x-1)/(x^2-x-1)/(x^2+1) lgdogf] A192425 5.19267 [-(25*f(x)-28)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2-x^3-f(x)*x+f(x)-x) ogf] A192426 5.02677 [(22161*f(x)+5026)*(4*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2-f(x)*x+5*x^2+f(x)+2*x-2) ogf] A192426 9.48504 [-x*(10-24*x^2+34*x^3+40*x^4-17*x)/(5*x^2+2*x-2)/(4*x^4+2*x^3-5*x^2-x+1) lgdogf] A192426 9.90784 [-(5*x^2+2*x-2)/(4*x^4+2*x^3-5*x^2-x+1) ogf] A192427 10.7792 [x*(2*x^2+1)/(4*x^4+2*x^3-5*x^2-x+1) ogf] A192427 5.18998 [-(2047*f(x)-2543)*(4*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2-2*x^3-f(x)*x+f(x)-x) ogf] A192427 9.86348 [-(-1-14*x+16*x^3+4*x^4+16*x^5+8*x^2)/(2*x^2+1)/(4*x^4+2*x^3-5*x^2-x+1) lgdogf] A192428 4.48891 [-(2663*f(x)-714)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2+3*x^3-2*f(x)*x+7*x^2+f(x)+x-1) ogf] A192428 7.26961 [-(1+6*x-12*x^3+99*x^4+126*x^5+27*x^6-23*x^2)/(3*x^3+7*x^2+x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192428 8.45987 [-(3*x^3+7*x^2+x-1)/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192429 4.61742 [-(11830*f(x)-2019)*(9*f(x)*x^4+6*f(x)*x^3-10*f(x)*x^2-3*x^3-2*f(x)*x-2*x^2+f(x)-x) ogf] A192429 8.24838 [-2*(-2-13*x+30*x^3+36*x^4+27*x^5+2*x^2)/(3*x^2+2*x+1)/(9*x^4+6*x^3-10*x^2-2*x+1) lgdogf] A192429 9.04766 [x*(3*x^2+2*x+1)/(9*x^4+6*x^3-10*x^2-2*x+1) ogf] A192430 4.62513 [-(68*f(x)-23)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2+x^3-2*f(x)*x+5*x^2+f(x)+x-1) ogf] A192430 8.58953 [-(x^3+5*x^2+x-1)/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192430 8.64483 [-(1+x)*(x^5+9*x^4+10*x^3-6*x^2+x+1)/(x^3+5*x^2+x-1)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192431 11.9270 [-2*(x-1)*(x^3+4*x^2+7*x+2)/(1+x)/(x^4+2*x^3-6*x^2-2*x+1) lgdogf] A192431 4.98297 [(154*f(x)-13)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-x) ogf] A192431 6.98644 [-(-2*x^4-6*x^3-6*x^2+10*x+4)/(-x^5-3*x^4+4*x^3+8*x^2+x-1) lgdogf] A192431 9.28336 [x*(x+1)^2/(x^4+2*x^3-6*x^2-2*x+1) ogf] A192443 2.28887 [-(f(x)*x+2*f(x)-3*x-2)*(f(x)*x-f(x)+1)^2 ogf] A192447 10.2926 [-2*x*(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A192447 16.4346 [-(2-2*x-4*x^3+3*x^4+7*x^2)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A192447 20.2388 [[-x^5+x^3+x^2+2] ogf_with_Euler_transform] A192447 8.68434 [-(-3*x^4+4*x^3-7*x^2+2*x-2)/(-x^5+2*x^4-3*x^3+3*x^2-2*x+1) lgdogf] A192457 3.70593 [144*f(x)^2*x^4-288*f(x)^2*x^3+216*f(x)^2*x^2-72*f(x)^2*x-48*f(x)*x^2+32*x^3+9*f(x)^2+48*f(x)*x-48*x^2-12*f(x)+24*x egf] A192457 4.44712 [{(-4*n^2-18*n-18)*a(n+1)+(4*n+11)*a(n+2)-a(n+3),a(0)=0,a(1)=2,a(2)=14} ogf] A192457 8.05062 [-1/2*I*(3*I-30*I*x+44*I*x^2-24*I*x^3+3*(-1+2*x)^(3/2))/(-1+2*x)/(4*x^2-6*x+3)/x lgdegf] A192458 3.6332 [144*f(x)^2*x^4-288*f(x)^2*x^3+216*f(x)^2*x^2-72*f(x)^2*x-24*f(x)*x^2+8*x^3+9*f(x)^2+24*f(x)*x-12*x^2-6*f(x)+6*x egf] A192458 4.31442 [{(-4*n^2-18*n-18)*a(n+1)+(4*n+11)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A192458 7.75245 [-1/2*I*(3*I-30*I*x+44*I*x^2-24*I*x^3+3*(-1+2*x)^(3/2))/(-1+2*x)/(4*x^2-6*x+3)/x lgdegf] A192459 3.68055 [144*f(x)^2*x^4-288*f(x)^2*x^3+216*f(x)^2*x^2-72*f(x)^2*x-48*f(x)*x^2+8*x^3+9*f(x)^2+48*f(x)*x-12*x^2-12*f(x)+6*x+3 egf] A192459 4.43683 [{(4*n^2+18*n+18)*a(n+1)+(-4*n-11)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=17} ogf] A192461 3.37751 [{(n^3+7*n^2+13*n+4)*a(n+1)+(-3*n^2-19*n-29)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=3,a(2)=21} ogf] A192463 3.69759 [{(-n^3-6*n^2-10*n-3)*a(n+1)+(-n^2-7*n-11)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A192464 7.71220 [-(3*x^4-7*x^3-x^2+6*x-2)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A192465 4.47522 [-(145*f(x)-2972)*(8*f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2+24*x^3+6*f(x)*x-8*x^2-f(x)-9*x+3) ogf] A192465 7.41545 [-(9-58*x-84*x^3-128*x^5+192*x^6+129*x^2)/(x-1)/(4*x-1)/(3*x-1)/(-1+2*x)/(1+x)/(8*x^2-3) lgdogf] A192465 8.43405 [-(3*x-1)*(8*x^2-3)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A192466 4.94629 [(661*f(x)+424)*(8*f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-6*x+2) ogf] A192466 8.37850 [-(3-12*x+68*x^3-78*x^4+16*x^5-3*x^2)/(x-1)/(4*x-1)/(-1+2*x)/(1+x)/(x^2-3*x+1) lgdogf] A192466 9.53414 [-2*(x^2-3*x+1)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A192467 10.2164 [-(x^2-3*x+1)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A192467 5.30025 [(661*f(x)+212)*(8*f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2+6*f(x)*x+x^2-f(x)-3*x+1) ogf] A192467 8.98778 [-(3-12*x+68*x^3-78*x^4+16*x^5-3*x^2)/(x-1)/(4*x-1)/(-1+2*x)/(1+x)/(x^2-3*x+1) lgdogf] A192468 6.55675 [-(81*x^4-87*x^3-x^2+20*x-4)/(x-1)/(9*x^2-7*x+1)/(3*x^2+x-1) ogf] A192469 4.70475 [(347*f(x)+198)*(27*f(x)*x^4-12*f(x)*x^3-13*f(x)*x^2+8*f(x)*x+6*x^2-f(x)-8*x+2) ogf] A192469 7.84351 [-2*(2-10*x+102*x^3-180*x^4+81*x^5-4*x^2)/(x-1)/(3*x-1)/(9*x^2-7*x+1)/(3*x^2+x-1) lgdogf] A192469 8.88674 [-2*(3*x-1)*(x-1)/(9*x^2-7*x+1)/(3*x^2+x-1) ogf] A192470 4.62512 [(347*f(x)+99)*(27*f(x)*x^4-12*f(x)*x^3-13*f(x)*x^2+8*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A192470 7.65032 [-2*(2-10*x+102*x^3-180*x^4+81*x^5-4*x^2)/(x-1)/(3*x-1)/(9*x^2-7*x+1)/(3*x^2+x-1) lgdogf] A192470 8.67208 [-(3*x-1)*(x-1)/(9*x^2-7*x+1)/(3*x^2+x-1) ogf] A192471 7.41683 [-(2*x-1)*(x^3-3*x^2-x+2)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A192472 7.56015 [-(3*x^4-8*x^3-x^2+8*x-3)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A192473 4.70175 [-(29*f(x)+20)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x-x^2-f(x)-7*x+4) ogf] A192473 8.56062 [-(9-26*x+36*x^3-16*x^4-2*x^5+x^6+4*x^2)/(x^2-3*x+1)/(x^2+x-1)/(x^3-x^2-7*x+4) lgdogf] A192473 8.73183 [-(x^3-x^2-7*x+4)/(x^2-3*x+1)/(x^2+x-1) ogf] A192474 7.63016 [-(2*x^4-2*x^3-9*x^2+11*x-3)/(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A192475 4.96235 [(29*f(x)+22)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x-3*x^2-f(x)-3*x+2) ogf] A192475 8.95799 [-(x^3-3*x^2-3*x+2)/(x^2-3*x+1)/(x^2+x-1) ogf] A192475 9.26625 [-(5-18*x+12*x^3-6*x^5+x^6+12*x^2)/(x^2-3*x+1)/(x^2+x-1)/(x^3-3*x^2-3*x+2) lgdogf] A192479 16.6144 [-1/2*(-1+(1-4*x^2+4*x)^(1/2))*(x-1) revogf] A192479 8.73060 [(1/2-1/2*(-4*x^2+4*x+1)^(1/2))*(x-1) revogf] A192481 14.6768 [-1/2+2*x-3*x^2+1/2*((8*x^2+1)*(-1+2*x)^2)^(1/2) revogf] A192481 8.46205 [-3*x^2+2*x-1/2+1/2*(32*x^4-32*x^3+12*x^2-4*x+1)^(1/2) revogf] A192482 11.3172 [-x^2-x-1/2+1/2*(8*x^2+8*x+1)^(1/2) revogf] A192482 20.9340 [-1/2-x-x^2+1/2*(1+8*x+8*x^2)^(1/2) revogf] A192491 17.4784 [-2*(x+5)*(2*x+1)/(x-1)/(2*x^2+6*x+1) lgdogf] A192491 4.37297 [(2151765*f(x)+226693672)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-48*x^2+f(x)-144*x-24) ogf] A192491 8.80585 [24*(2*x^2+6*x+1)/(x-1)^4 ogf] A192491 9.73980 [-(4*x^2+22*x+10)/(2*x^3+4*x^2-5*x-1) lgdogf] A192543 9.64092 [-x*(x^10-x^9-x^6-x^3-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A192544 15.8362 [-f(x)*x^2+2*f(x)*x-f(x)-4*x+8 ogf] A192544 22.7147 [-(x-3)/(x-1)/(x-2) lgdogf] A192544 5.09743 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=12} ogf] A192544 8.81431 [-(-x+3)/(-x^2+3*x-2) lgdogf] A192544 9.40193 [-4*(x-2)/(x-1)^2 ogf] A192616 7.23536 [-(x^4+x^3-3*x^2-x+1)/(x^6+x^5-4*x^4-x^3+4*x^2+x-1) ogf] A192617 7.86606 [x*(x^2+x-1)/(x^6+x^5-4*x^4-x^3+4*x^2+x-1) ogf] A192617 8.35118 [-2*x*(-3+2*x^6+7*x^2-9*x^3-5*x^4+4*x^5+3*x)/(x^2+x-1)/(x^6+x^5-4*x^4-x^3+4*x^2+x-1) lgdogf] A192651 10.1963 [-x^2/(x^6+x^5-4*x^4-x^3+4*x^2+x-1) ogf] A192651 11.0574 [-(1+8*x-16*x^3+5*x^4+6*x^5-3*x^2)/(4*x^2-1+x-4*x^4-x^3+x^6+x^5) lgdogf] A192727 9.14058 [-x^4/(x-1)/(x+1)/(2*x^2-1)/(x^2+x-1) ogf] A192727 9.41343 [-(1+8*x-20*x^3+10*x^4+12*x^5-9*x^2)/(x-1)/(1+x)/(2*x^2-1)/(x^2+x-1) lgdogf] A192735 6.40345 [(x^2+1)*(2*x^4+4*x^3+2*x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A192736 6.50881 [(2*x^5+2*x^4+6*x^3+5*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A192736 8.14759 [-2*(2+8*x+22*x^3+28*x^4+19*x^5+6*x^6+3*x^7+20*x^2)/(x-1)/(x^2+x+1)/(2*x^5+2*x^4+6*x^3+5*x^2+2*x+1) lgdogf] A192742 13.7814 [-(4*x^3+3*x^2-6*x-3)/(x^4+x^3-3*x^2-3*x+1) ogf] A192742 13.7838 [-(15+12*x-3*x^4+6*x^5+4*x^6+6*x^2)/(4*x^3+3*x^2-6*x-3)/(x^4+x^3-3*x^2-3*x+1) lgdogf] A192742 6.93578 [-(1111925*f(x)+6659978)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+4*x^3-3*f(x)*x+3*x^2+f(x)-6*x-3) ogf] A192742 8.42198 [-(-4*x^6-6*x^5+3*x^4-6*x^2-12*x-15)/(-4*x^7-7*x^6+15*x^5+30*x^4-10*x^3-30*x^2-3*x+3) lgdogf] A192745 3.74858 [{(n+3)*a(n+1)+(n+2)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A192746 14.2665 [-(x^2-3*x-1)/(x-1)/(x^2+x-1) ogf] A192746 14.8358 [-(x^2+x+1)*(x^2-7*x+5)/(x-1)/(x^2+x-1)/(x^2-3*x-1) lgdogf] A192746 7.71554 [-(2*f(x)-41)*(f(x)*x^3-2*f(x)*x+x^2+f(x)-3*x-1) ogf] A192746 7.87628 [-(-x^4+6*x^3+x^2+2*x-5)/(-x^5+3*x^4+3*x^3-7*x^2+x+1) lgdogf] A192746 8.04386 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=5,a(2)=9} ogf] A192747 10.0816 [x*(x^2-3*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192747 14.5058 [-2*(3-4*x^3+x^4-3*x^2)/(x-1)/(x^2+x-1)/(x^2-3*x-1) lgdogf] A192747 4.04372 [{(3*n+11)*a(n+1)+3*a(n+2)+(-6*n-19)*a(n+3)+(3*n+8)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=15} ogf] A192747 5.1828 [-(543*f(x)-2129)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)+x) ogf] A192747 7.99953 [-(-2*x^4+8*x^3+6*x^2-6)/(-x^5+3*x^4+3*x^3-7*x^2+x+1) lgdogf] A192748 14.0123 [-2*(-2-x+2*x^3+x^4+3*x^2)/(x-1)/(x^2+x+1)/(x^2+x-1) lgdogf] A192748 4.02939 [{(n+3)*a(n+1)+a(n+2)+(-2*n-5)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=11} ogf] A192748 5.45332 [(3*f(x)+7)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x+x^2-f(x)+x) ogf] A192748 7.55511 [-(-2*x^4-4*x^3-6*x^2+2*x+4)/(-x^5-x^4+x^3+x^2+x-1) lgdogf] A192748 9.93549 [-(x^2+x+1)*x/(x^2+x-1)/(x-1)^2 ogf] A192749 11.4865 [-x*(3*x+1)/(x^2+x-1)/(x-1)^2 ogf] A192749 16.3546 [-(-6-2*x+9*x^3+7*x^2)/(x-1)/(3*x+1)/(x^2+x-1) lgdogf] A192749 4.10233 [{(4*n+13)*a(n+1)+4*a(n+2)+(-8*n-22)*a(n+3)+(4*n+9)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=16} ogf] A192749 5.53054 [-(632*f(x)-17209)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+x) ogf] A192749 9.33280 [-(-9*x^3-7*x^2+2*x+6)/(-3*x^4-x^3+6*x^2-x-1) lgdogf] A192750 13.8189 [-(x^2-4*x-1)/(x-1)/(x^2+x-1) ogf] A192750 14.3636 [-(6-2*x-8*x^3+x^4-x^2)/(x-1)/(x^2+x-1)/(x^2-4*x-1) lgdogf] A192750 7.47349 [-(7*f(x)-66)*(f(x)*x^3-2*f(x)*x+x^2+f(x)-4*x-1) ogf] A192750 7.62919 [-(-x^4+8*x^3+x^2+2*x-6)/(-x^5+4*x^4+3*x^3-9*x^2+2*x+1) lgdogf] A192750 7.70949 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=6,a(2)=11} ogf] A192751 10.2277 [x*(x^2-4*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192751 13.8860 [-(7+x-11*x^3+2*x^4-7*x^2)/(x-1)/(x^2+x-1)/(x^2-4*x-1) lgdogf] A192751 4.12499 [{(-2*n-7)*a(n+1)-2*a(n+2)+(4*n+12)*a(n+3)+(-2*n-5)*a(n+4),a(0)=0,a(1)=1,a(2)=7,a(3)=18} ogf] A192751 5.2952 [-(168*f(x)-797)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+4*x^2-f(x)+x) ogf] A192751 7.69715 [-(-2*x^4+11*x^3+7*x^2-x-7)/(-x^5+4*x^4+3*x^3-9*x^2+2*x+1) lgdogf] A192752 13.1225 [-(7-4*x-10*x^3+2*x^4+x^2)/(x-1)/(2*x^2-5*x-1)/(x^2+x-1) lgdogf] A192752 13.8860 [-(2*x^2-5*x-1)/(x-1)/(x^2+x-1) ogf] A192752 7.50977 [-(-2*x^4+10*x^3-x^2+4*x-7)/(-2*x^5+5*x^4+5*x^3-12*x^2+3*x+1) lgdogf] A192752 7.50977 [(705*f(x)+7523)*(f(x)*x^3-2*f(x)*x+2*x^2+f(x)-5*x-1) ogf] A192752 7.74692 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=7,a(2)=12} ogf] A192753 10.2764 [x*(2*x^2-5*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192753 13.9531 [-(8-13*x^3+4*x^4-7*x^2)/(x-1)/(2*x^2-5*x-1)/(x^2+x-1) lgdogf] A192753 4.09934 [{(4*n+15)*a(n+1)+4*a(n+2)+(-8*n-26)*a(n+3)+(4*n+11)*a(n+4),a(0)=0,a(1)=1,a(2)=8,a(3)=20} ogf] A192753 5.10325 [-(114888*f(x)-636379)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+5*x^2-f(x)+x) ogf] A192753 7.98063 [-(-4*x^4+13*x^3+7*x^2-8)/(-2*x^5+5*x^4+5*x^3-12*x^2+3*x+1) lgdogf] A192754 10.2319 [-(-8*x^3-3*x^2+6)/(-4*x^4-x^3+8*x^2-2*x-1) lgdogf] A192754 17.2805 [(4*x+1)/(x-1)/(x^2+x-1) ogf] A192754 18.6168 [-(-6+8*x^3+3*x^2)/(x-1)/(1+4*x)/(x^2+x-1) lgdogf] A192754 8.18552 [{a(n+3)-2*a(n+2)+a(n),a(0)=1,a(1)=6,a(2)=12} ogf] A192754 8.9382 [(97*f(x)+47)*(f(x)*x^3-2*f(x)*x+f(x)-4*x-1) ogf] A192755 10.9046 [-x*(4*x+1)/(x^2+x-1)/(x-1)^2 ogf] A192755 15.1787 [-(-7-3*x+12*x^3+8*x^2)/(x-1)/(1+4*x)/(x^2+x-1) lgdogf] A192755 3.85216 [{(-5*n-16)*a(n+1)-5*a(n+2)+(10*n+27)*a(n+3)+(-5*n-11)*a(n+4),a(0)=0,a(1)=1,a(2)=7,a(3)=19} ogf] A192755 5.21175 [-(8810*f(x)-98711)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+x) ogf] A192755 8.75059 [-(12*x^3+8*x^2-3*x-7)/(4*x^4+x^3-8*x^2+2*x+1) lgdogf] A192756 12.6949 [-2*(-3-2*x+5*x^3+x^4+4*x^2)/(x-1)/(x^2+3*x+1)/(x^2+x-1) lgdogf] A192756 3.93777 [{(n+3)*a(n+1)+a(n+2)+(-2*n-5)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=17} ogf] A192756 5.25036 [(47*f(x)-11)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x+3*x^2-f(x)+x) ogf] A192756 7.30720 [-(2*x^4+10*x^3+8*x^2-4*x-6)/(x^5+3*x^4-x^3-5*x^2+x+1) lgdogf] A192756 9.70956 [-x*(x^2+3*x+1)/(x^2+x-1)/(x-1)^2 ogf] A192758 11.7799 [-(-2-2*x-3*x^3+7*x^4+7*x^5+x^2)/(x-1)/(1+x)/(x^2+1)/(x^2+x-1) lgdogf] A192758 12.7966 [-x/(x+1)/(x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A192759 10.3618 [-(-2-2*x+x^3-4*x^4+8*x^5+8*x^6+x^2)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1) lgdogf] A192759 12.7332 [-x/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A192760 10.1124 [x*(x^2-x-1)/(x^2+x-1)/(x-1)^2 ogf] A192760 15.8142 [-2*(x-2)*(x^3+x^2-1)/(x-1)/(x^2+x-1)/(x^2-x-1) lgdogf] A192760 4.12405 [{(-n-5)*a(n+1)-a(n+2)+(2*n+9)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=9} ogf] A192760 5.31083 [-(27*f(x)-85)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+x^2-f(x)+x) ogf] A192760 7.68964 [-(2*x^4-2*x^3-4*x^2-2*x+4)/(x^5-x^4-3*x^3+3*x^2+x-1) lgdogf] A192761 10.2597 [x*(2*x^2-2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192761 13.1822 [-(5-3*x-4*x^3+4*x^4-4*x^2)/(x-1)/(2*x^2-2*x-1)/(x^2+x-1) lgdogf] A192761 4.13788 [{(-n-6)*a(n+1)-a(n+2)+(2*n+11)*a(n+3)+(-n-5)*a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=11} ogf] A192761 5.23745 [-(1086*f(x)-6409)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+2*x^2-f(x)+x) ogf] A192761 8.14083 [-(-4*x^4+4*x^3+4*x^2+3*x-5)/(-2*x^5+2*x^4+5*x^3-6*x^2+1) lgdogf] A192762 12.1985 [-2*(3-2*x-3*x^3+3*x^4-2*x^2)/(x-1)/(3*x^2-3*x-1)/(x^2+x-1) lgdogf] A192762 3.96785 [{(-n-7)*a(n+1)-a(n+2)+(2*n+13)*a(n+3)+(-n-6)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=13} ogf] A192762 5.05761 [-(275*f(x)-2668)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-3*x^3+3*f(x)*x+3*x^2-f(x)+x) ogf] A192762 7.48105 [-(-6*x^4+6*x^3+4*x^2+4*x-6)/(-3*x^5+3*x^4+7*x^3-9*x^2+x+1) lgdogf] A192762 9.83810 [x*(3*x^2-3*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192772 6.86798 [-(x^2+2*x-1)*(x^2-x-1)/(x^6+x^5-5*x^4-x^3+5*x^2+x-1) ogf] A192773 7.60493 [x*(x^2+x-1)/(x^6+x^5-5*x^4-x^3+5*x^2+x-1) ogf] A192773 7.97662 [-x*(-8+18*x^2-21*x^3-12*x^4+8*x^5+7*x+4*x^6)/(x^2+x-1)/(x^6+x^5-5*x^4-x^3+5*x^2+x-1) lgdogf] A192774 10.3099 [-(1+10*x-20*x^3+5*x^4+6*x^5-3*x^2)/(x^6+x^5-5*x^4-x^3+5*x^2+x-1) lgdogf] A192774 9.66138 [-x^2/(x^6+x^5-5*x^4-x^3+5*x^2+x-1) ogf] A192777 6.80240 [-(x^4+x^3-5*x^2-x+1)/(x^2-x-1)/(x^4+2*x^3-3*x^2-2*x+1) ogf] A192778 7.52913 [-2*x*(-5+11*x^2-12*x^3-7*x^4+4*x^5+4*x+2*x^6)/(x^2+x-1)/(x^2-x-1)/(x^4+2*x^3-3*x^2-2*x+1) lgdogf] A192778 7.60480 [x*(x^2+x-1)/(x^2-x-1)/(x^4+2*x^3-3*x^2-2*x+1) ogf] A192779 10.4008 [-x^2/(x^2-x-1)/(x^4+2*x^3-3*x^2-2*x+1) ogf] A192779 10.4537 [-(1+12*x-24*x^3+5*x^4+6*x^5-3*x^2)/(x^2-x-1)/(x^4+2*x^3-3*x^2-2*x+1) lgdogf] A192780 7.21631 [-(x-1)*(x+1)*(x^2+x-1)/(x^6+x^5-3*x^4-x^3+3*x^2+x-1) ogf] A192781 8.45549 [x*(x^2+x-1)/(x^6+x^5-3*x^4-x^3+3*x^2+x-1) ogf] A192781 9.31715 [-x*(x-1)*(4*x^5+12*x^4+4*x^3-11*x^2-x+4)/(x^2+x-1)/(x^6+x^5-3*x^4-x^3+3*x^2+x-1) lgdogf] A192782 10.8206 [-x^2/(x^6+x^5-3*x^4-x^3+3*x^2+x-1) ogf] A192782 11.7383 [-(1+6*x-12*x^3+5*x^4+6*x^5-3*x^2)/(x^6+x^5-3*x^4-x^3+3*x^2+x-1) lgdogf] A192790 15.3490 [-4*(5+17*x+5*x^2)/(x-1)/(10*x^2+16*x+1) lgdogf] A192790 4.37297 [(10773*f(x)+512492)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-40*x^2+f(x)-64*x-4) ogf] A192790 8.62276 [4*(10*x^2+16*x+1)/(x-1)^4 ogf] A192790 8.87270 [-(20*x^2+68*x+20)/(10*x^3+6*x^2-15*x-1) lgdogf] A192791 15.3054 [-2*(7-5*x+4*x^2)/(x-1)/(4*x^2-6*x+5) lgdogf] A192791 6.30852 [(1323*f(x)+5912)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-32*x^2+f(x)+48*x-40) ogf] A192791 7.84165 [8*(4*x^2-6*x+5)/(x-1)^4 ogf] A192791 8.30293 [-(-8*x^2+10*x-14)/(-4*x^3+10*x^2-11*x+5) lgdogf] A192793 10.4266 [-(-6*x^2-10)/(-3*x^3+5*x^2-5*x+3) lgdogf] A192793 19.4506 [-2*(5+3*x^2)/(x-1)/(3*x^2-2*x+3) lgdogf] A192793 4.64251 [(13*f(x)+459)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-108*x^2+f(x)+72*x-108) ogf] A192793 8.59492 [36*(3*x^2-2*x+3)/(x-1)^4 ogf] A192796 11.5641 [-(15*x+33)/(5*x^2+2*x-7) lgdogf] A192796 22.7200 [-3*(11+5*x)/(5*x+7)/(x-1) lgdogf] A192796 3.73035 [{(14+7*n)*a(n+3)+(-35-2*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=28,a(2)=132} ogf] A192796 4.07186 [(27279936*f(x)+569189983)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-20*x^2+f(x)-28*x) ogf] A192796 8.62991 [4*x*(5*x+7)/(x-1)^4 ogf] A192797 11.9793 [-(3+6*x+2*x^3+5*x^4+2*x^5+6*x^2)/(x-1)/(1+x)/(x^4+x^3-x^2+x+1) lgdogf] A192797 7.50067 [4*(x^4+x^3-x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A192798 7.17141 [-2*x*(1-3*x^6+2*x^7-5*x^2+4*x^3+4*x^4-7*x^5+x^8+x)/(x-1)/(1+x)/(x^2+x-1)/(x^6+x^5-3*x^4+3*x^2+x-1) lgdogf] A192798 7.66976 [-(x-1)*(x+1)*(x^2+x-1)/(x^6+x^5-3*x^4+3*x^2+x-1) ogf] A192799 8.71969 [x*(x^2+x-1)/(x^6+x^5-3*x^4+3*x^2+x-1) ogf] A192799 9.20134 [-2*x*(x-1)*(2*x^5+6*x^4+2*x^3-5*x^2+x+2)/(x^2+x-1)/(x^6+x^5-3*x^4+3*x^2+x-1) lgdogf] A192800 12.3911 [-x^2/(x^6+x^5-3*x^4+3*x^2+x-1) ogf] A192800 13.1944 [-(1+6*x-12*x^3+5*x^4+6*x^5)/(x^6+x^5-3*x^4+3*x^2+x-1) lgdogf] A192800 7.28139 [-(-6*x^5-5*x^4+12*x^3-6*x-1)/(-x^6-x^5+3*x^4-3*x^2-x+1) lgdogf] A192801 10.2755 [-(x-1)*(55*x^3-55*x^2+18*x-2)/(5*x^2-5*x+1)/(11*x^3-15*x^2+7*x-1) lgdogf] A192801 10.8086 [-(5*x^2-5*x+1)/(11*x^3-15*x^2+7*x-1) ogf] A192801 5.82002 [-(2*f(x)+3)*(11*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A192801 5.97318 [{a(n+3)-7*a(n+2)+15*a(n+1)-11*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A192802 10.8023 [x*(3*x-1)/(11*x^3-15*x^2+7*x-1) ogf] A192802 11.2086 [-2*(-2+15*x+33*x^3-39*x^2)/(3*x-1)/(11*x^3-15*x^2+7*x-1) lgdogf] A192802 5.64016 [{a(n+3)-7*a(n+2)+15*a(n+1)-11*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A192802 7.32572 [-(-66*x^3+78*x^2-30*x+4)/(-33*x^4+56*x^3-36*x^2+10*x-1) lgdogf] A192802 7.32572 [-11*f(x)*x^3+15*f(x)*x^2-7*f(x)*x+3*x^2+f(x)-x ogf] A192803 10.1576 [-(-33*x^2+30*x-7)/(-11*x^3+15*x^2-7*x+1) lgdogf] A192803 16.0632 [-x^2/(11*x^3-15*x^2+7*x-1) ogf] A192803 18.0053 [-(7-30*x+33*x^2)/(11*x^3-15*x^2+7*x-1) lgdogf] A192803 6.16712 [{a(n+3)-7*a(n+2)+15*a(n+1)-11*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A192803 8.32189 [11*f(x)*x^3-15*f(x)*x^2+7*f(x)*x+x^2-f(x) ogf] A192804 10.2458 [f(x)*x^4-2*f(x)*x+x^2+f(x)+x-1 ogf] A192804 11.5019 [-(1-2*x-4*x^3+3*x^4+2*x^5+2*x^2)/(x-1)/(x^2+x-1)/(x^3+x^2+x-1) lgdogf] A192804 13.7256 [-(x^2+x-1)/(x^3+x^2+x-1)/(x-1) ogf] A192805 10.3375 [-(2*x-1)*(x+1)/(x-1)/(x^3+2*x^2+x-1) ogf] A192805 11.1000 [-(1-2*x-2*x^3+5*x^4+4*x^5)/(x-1)/(-1+2*x)/(1+x)/(x^3+2*x^2+x-1) lgdogf] A192805 5.36306 [-(f(x)-1)*(f(x)*x^4+f(x)*x^3-f(x)*x^2-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A192806 11.1310 [-(1-6*x-12*x^3+2*x^4+19*x^2)/(2*x^2-6*x+1)/(x^3-5*x^2+7*x-1) lgdogf] A192806 11.1541 [-(2*x^2-6*x+1)/(x^3-5*x^2+7*x-1) ogf] A192806 5.86554 [-(f(x)+15)*(f(x)*x^3-5*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-6*x+1) ogf] A192806 6.07501 [{a(n+3)-7*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=4} ogf] A192806 6.67060 [-(2*x^4-12*x^3+19*x^2-6*x+1)/(2*x^5-16*x^4+45*x^3-49*x^2+13*x-1) lgdogf] A192807 10.9542 [x*(x-1)/(x^3-5*x^2+7*x-1) ogf] A192807 13.6693 [-2*(-3+5*x+x^3-4*x^2)/(x-1)/(x^3-5*x^2+7*x-1) lgdogf] A192807 5.62514 [{a(n+3)-7*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=6} ogf] A192807 7.34577 [f(x)*x^3-5*f(x)*x^2+7*f(x)*x-x^2-f(x)+x ogf] A192807 7.61451 [-(2*x^3-8*x^2+10*x-6)/(x^4-6*x^3+12*x^2-8*x+1) lgdogf] A192808 10.0085 [-2*(-1+2*x)*(8*x^3-16*x^2+6*x-1)/(x-1)/(4*x-1)/(8*x^3-12*x^2+7*x-1) lgdogf] A192808 11.0207 [-(4*x-1)*(x-1)/(8*x^3-12*x^2+7*x-1) ogf] A192808 5.89036 [-(f(x)-5)*(8*f(x)*x^3-12*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-5*x+1) ogf] A192808 6.04673 [{a(n+3)-7*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A192808 6.50744 [-(32*x^4-80*x^3+56*x^2-16*x+2)/(32*x^5-88*x^4+96*x^3-51*x^2+12*x-1) lgdogf] A192809 14.3703 [-2*x^2/(8*x^3-12*x^2+7*x-1) ogf] A192809 17.6940 [-(7-24*x+24*x^2)/(8*x^3-12*x^2+7*x-1) lgdogf] A192809 5.95526 [{a(n+3)-7*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A192809 8.0614 [8*f(x)*x^3-12*f(x)*x^2+7*f(x)*x+2*x^2-f(x) ogf] A192809 9.86618 [-(-24*x^2+24*x-7)/(-8*x^3+12*x^2-7*x+1) lgdogf] A192810 11.6711 [x*(2*x-1)/(8*x^3-12*x^2+7*x-1) ogf] A192810 12.3591 [-(-5+24*x+32*x^3-48*x^2)/(-1+2*x)/(8*x^3-12*x^2+7*x-1) lgdogf] A192810 6.04397 [{-a(n+3)+7*a(n+2)-12*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A192810 6.26783 [(5*f(x)+1)*(8*f(x)*x^3-12*f(x)*x^2+7*f(x)*x-2*x^2-f(x)+x) ogf] A192810 7.87122 [-(-32*x^3+48*x^2-24*x+5)/(-16*x^4+32*x^3-26*x^2+9*x-1) lgdogf] A192811 15.2092 [-x^2/(8*x^3-12*x^2+7*x-1) ogf] A192811 17.0928 [-(7-24*x+24*x^2)/(8*x^3-12*x^2+7*x-1) lgdogf] A192811 5.75485 [{a(n+3)-7*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A192811 7.79011 [8*f(x)*x^3-12*f(x)*x^2+7*f(x)*x+x^2-f(x) ogf] A192811 9.53415 [-(-24*x^2+24*x-7)/(-8*x^3+12*x^2-7*x+1) lgdogf] A192812 6.94146 [-(x^6-x^4+2*x^3+4*x^2-8*x+3)/(x-1)/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A192813 7.44292 [-(1+2*x-4*x^7+6*x^8+9*x^4-8*x^5+7*x^6+2*x^9-8*x^2)/(x^3+x^2-1)/(x^3-x^2+2*x-1)/(x^4+2*x^3-x^2+x-1) lgdogf] A192813 9.13875 [-x*(x^4+2*x^3-x^2+x-1)/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A192814 10.4198 [-(-1+8*x+56*x^3+7*x^4-38*x^2)/(x^2+4*x-1)/(7*x^3-3*x^2+5*x-1) lgdogf] A192814 10.6282 [(x^2+4*x-1)/(7*x^3-3*x^2+5*x-1) ogf] A192814 5.54122 [-(11*f(x)-15)*(7*f(x)*x^3-3*f(x)*x^2+5*f(x)*x-x^2-f(x)-4*x+1) ogf] A192814 5.78859 [{-a(n+3)+5*a(n+2)-3*a(n+1)+7*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A192814 6.41903 [-(-7*x^4-56*x^3+38*x^2-8*x+1)/(-7*x^5-25*x^4+14*x^3-22*x^2+9*x-1) lgdogf] A192815 11.3741 [2*x*(3*x-1)/(7*x^3-3*x^2+5*x-1) ogf] A192815 12.0526 [-2*(-1+3*x+21*x^3-15*x^2)/(3*x-1)/(7*x^3-3*x^2+5*x-1) lgdogf] A192815 5.84074 [{a(n+3)-5*a(n+2)+3*a(n+1)-7*a(n),a(0)=0,a(1)=2,a(2)=4} ogf] A192815 5.84075 [-(f(x)+1)*(7*f(x)*x^3-3*f(x)*x^2+5*f(x)*x-6*x^2-f(x)+2*x) ogf] A192815 7.62732 [-(-42*x^3+30*x^2-6*x+2)/(-21*x^4+16*x^3-18*x^2+8*x-1) lgdogf] A192816 12.0284 [x*(3*x-1)/(7*x^3-3*x^2+5*x-1) ogf] A192816 12.7541 [-2*(-1+3*x+21*x^3-15*x^2)/(3*x-1)/(7*x^3-3*x^2+5*x-1) lgdogf] A192816 6.17676 [-(2*f(x)+1)*(7*f(x)*x^3-3*f(x)*x^2+5*f(x)*x-3*x^2-f(x)+x) ogf] A192816 6.17677 [{a(n+3)-5*a(n+2)+3*a(n+1)-7*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A192816 8.06613 [-(-42*x^3+30*x^2-6*x+2)/(-21*x^4+16*x^3-18*x^2+8*x-1) lgdogf] A192827 11.0366 [-(-10*x-8)/(-5*x^2+4*x+1) lgdogf] A192827 21.9661 [-2*(4+5*x)/(5*x+1)/(x-1) lgdogf] A192827 4.66199 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=11,a(1)=88,a(2)=231} ogf] A192827 4.74378 [(14796*f(x)-595331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+55*x+11) ogf] A192827 9.83256 [-11*(5*x+1)/(x-1)^3 ogf] A192828 6.24948 [4*(x^5-8*x^4+15*x^3+22*x^2+38*x+12)/(x-1)^6 ogf] A192828 9.28166 [-(110+234*x+13*x^3-11*x^4+x^5+133*x^2)/(x-1)/(x^5-8*x^4+15*x^3+22*x^2+38*x+12) lgdogf] A192829 6.07353 [6*(x^7-8*x^6+50*x^5+44*x^4+1613*x^3+2416*x^2+864*x+60)/(x-1)^8 ogf] A192830 3.63945 [-4*x*(480*x^6+576*x^5-744*x^4+224*x^3-4*x^2-8*x+1)/(4*x-1)^4/(2*x-1)^5 ogf] A192831 5.79570 [-4*(80*x^4-36*x^3-6*x^2+6*x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A192832 11.3204 [-(12*x^2+36*x+12)/(3*x^3+3*x^2-5*x-1) lgdogf] A192832 21.3790 [-12*(1+3*x+x^2)/(x-1)/(3*x^2+6*x+1) lgdogf] A192832 3.73630 [{(n+3)*a(n+4)+(-2+5*n)*a(n+3)+(-39-3*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=0,a(1)=48,a(2)=576,a(3)=2880} ogf] A192832 7.81926 [48*x*(3*x^2+6*x+1)/(x-1)^6 ogf] A192833 13.8331 [-2*(3+9*x+4*x^3+x^4+x^5+6*x^2)/(x-1)/(1+x)/(x^4+x^2+2*x+2) lgdogf] A192833 8.33647 [-(-2*x^5-2*x^4-8*x^3-12*x^2-18*x-6)/(-x^6-2*x^3-x^2+2*x+2) lgdogf] A192833 8.42241 [12*(x^4+x^2+2*x+2)/(x+1)^2/(x-1)^4 ogf] A192834 6.52238 [4*x*(12*x^4-2*x^3+25*x^2-4*x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1) ogf] A192836 7.32269 [-(7*x^5-14*x^4-14*x^3+24*x^2-x-14)/(x+1)^2/(x-1)^4 ogf] A192838 5.16597 [12*(x+2)*(x^3-x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A192838 8.09073 [-(7+16*x+2*x^3+5*x^4+2*x^5+16*x^2)/(x-1)/(x+2)/(1+x)/(x^3-x^2+x+1) lgdogf] A192839 11.8281 [-(36*x^2+68*x+16)/(9*x^3+x^2-9*x-1) lgdogf] A192839 21.1426 [-4*(4+17*x+9*x^2)/(x-1)/(9*x+1)/(1+x) lgdogf] A192839 3.90384 [{(n+3)*a(n+4)+(2+9*n)*a(n+3)+(-69-n)*a(n+2)+(-36-9*n)*a(n+1),a(0)=0,a(1)=48,a(2)=768,a(3)=4320} ogf] A192839 8.16990 [48*x*(x+1)*(9*x+1)/(x-1)^6 ogf] A192845 14.0409 [-2*(-7-10*x+5*x^2)/(x-1)/(5*x^2-10*x-1) lgdogf] A192845 4.12645 [(123*f(x)+9053)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+20*x^2+f(x)-40*x-4) ogf] A192845 7.90420 [-4*(5*x^2-10*x-1)/(x-1)^4 ogf] A192845 8.25291 [-(-10*x^2+20*x+14)/(-5*x^3+15*x^2-9*x-1) lgdogf] A192846 5.69254 [2*(x^4+2*x^3+14*x+7)/(x+1)^2/(x-1)^4 ogf] A192846 7.98767 [-2*(14+35*x+4*x^3+4*x^4+x^5+38*x^2)/(x-1)/(1+x)/(x^4+2*x^3+14*x+7) lgdogf] A192847 4.34196 [{(16*n^2-8*n-168)*a(n+1)+(27*n^2+414*n+99)*a(n+2)+(-43*n^2+7*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=72} ogf] A192847 6.32781 [36*x^3*(8*x^3+11*x^2+14*x+2)/(x-1)^8 ogf] A192847 9.49172 [-(-40*x^3-90*x^2-120*x-30)/(-8*x^4-3*x^3-3*x^2+12*x+2) lgdogf] A192848 13.4452 [-12*(x^2-4*x-1)/(x-1)^4 ogf] A192848 14.8932 [-(-2*x^2+10*x+8)/(-x^3+5*x^2-3*x-1) lgdogf] A192848 17.6244 [-2*(-4-5*x+x^2)/(x-1)/(x^2-4*x-1) lgdogf] A192848 4.76875 [{(-n-4)*a(n+4)+(-1-3*n)*a(n+3)+(20+5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=12,a(1)=96,a(2)=300,a(3)=672} ogf] A192848 7.0149 [(230*f(x)+11567)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+12*x^2+f(x)-48*x-12) ogf] A192849 13.8769 [-(-20*x-10)/(-4*x^2+3*x+1) lgdogf] A192849 27.4817 [-10*(2*x+1)/(4*x+1)/(x-1) lgdogf] A192849 4.59500 [{(-1-n)*a(n+3)+(10-3*n)*a(n+2)+(16+4*n)*a(n+1),a(0)=0,a(1)=0,a(2)=24} ogf] A192849 7.70939 [24*x^2*(4*x+1)/(x-1)^6 ogf] A192850 6.22957 [2*(x^4+2*x^3+46*x+23)/(x+1)^2/(x-1)^4 ogf] A192850 8.37977 [-2*(46+115*x+4*x^3+4*x^4+x^5+118*x^2)/(x-1)/(1+x)/(x^4+2*x^3+46*x+23) lgdogf] A192857 10.6515 [-(x+1)*(x^2+13*x-4)/(x^4-x^3-7*x^2-3*x+1) ogf] A192857 5.3949 [-(1313197*f(x)+3198530)*(f(x)*x^4-f(x)*x^3-7*f(x)*x^2+x^3-3*f(x)*x+14*x^2+f(x)+9*x-4) ogf] A192858 12.5473 [2*(x+1)*(x-1)^2/(x^2-3*x+1)^2 ogf] A192858 13.5929 [-(x^3+2*x^2-4*x+5)/(x^4-3*x^3+3*x-1) lgdogf] A192858 22.9750 [-(5-4*x+x^3+2*x^2)/(x-1)/(1+x)/(x^2-3*x+1) lgdogf] A192858 6.89216 [(525*f(x)+547)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-2*x^3-6*f(x)*x+2*x^2+f(x)+2*x-2) ogf] A192872 4.31764 [(599*f(x)+138)*(f(x)*x^4-3*f(x)*x^3-2*x^3+3*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A192872 6.51620 [-2*x*(-3-17*x^2+9*x^3-3*x^4+x^5+12*x)/(x-1)/(-1+2*x)/(1+x)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A192872 7.69667 [(2*x-1)*(x^2-x+1)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A192873 12.2567 [-x*(x^2-x+1)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A192873 12.2872 [-2*(1+x+5*x^3-3*x^4+x^5-6*x^2)/(x-1)/(1+x)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A192873 6.58417 [-(31*f(x)+18)*(f(x)*x^4-3*f(x)*x^3+x^3+3*f(x)*x-x^2-f(x)+x) ogf] A192873 7.51591 [-(2*x^5-6*x^4+10*x^3-12*x^2+2*x+2)/(x^6-4*x^5+4*x^4-4*x^2+4*x-1) lgdogf] A192874 6.65633 [(x^2-x+1)*(4*x^2+x-1)/(x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A192875 6.68768 [-(3+10*x+16*x^7-42*x^3-5*x^4+28*x^5-24*x^6-x^2)/(x-1)/(2*x+1)/(x^2-x+1)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A192875 7.24836 [-x*(2*x+1)*(x^2-x+1)/(x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A192876 7.27390 [-(-1-4*x+14*x^3-58*x^4-32*x^5+48*x^6+13*x^2)/(x^2-x-1)/(4*x^2+2*x-1)/(4*x^2+x-1)/(x-1) lgdogf] A192876 8.29335 [(4*x^2+x-1)/(x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A192877 8.58553 [-(4+12*x-44*x^3-16*x^4+32*x^5-3*x^2)/(x-1)/(2*x+1)/(4*x^2+2*x-1)/(x^2-x-1) lgdogf] A192877 8.83704 [-(2*x+1)*x/(x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A192878 12.9478 [-(2*x^2+6*x-3)/(x+1)/(x^2-3*x+1) ogf] A192878 6.69336 [(7011*f(x)-16937)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+6*x-3) ogf] A192878 7.11548 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=0,a(2)=4} ogf] A192878 8.22727 [-(2*x^4+12*x^3-17*x^2+8*x)/(2*x^5+2*x^4-19*x^3-4*x^2+12*x-3) lgdogf] A192878 8.73696 [-x*(8+12*x^2+2*x^3-17*x)/(1+x)/(x^2-3*x+1)/(2*x^2+6*x-3) lgdogf] A192879 11.2303 [-(-4-4*x+4*x^3-x^2)/(2*x+1)/(1+x)/(x^2-3*x+1) lgdogf] A192879 13.3065 [(2*x+1)*x/(x+1)/(x^2-3*x+1) ogf] A192879 6.83305 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A192879 8.92314 [-f(x)*x^3+2*f(x)*x^2+2*f(x)*x+2*x^2-f(x)+x ogf] A192879 9.97984 [-(4*x^3-x^2-4*x-4)/(2*x^4-3*x^3-6*x^2+1) lgdogf] A192880 4.42595 [-(708*f(x)+29)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+x^3-2*f(x)*x+4*x^2+f(x)+2*x-1) ogf] A192880 8.27712 [-(x+1)*(x^2+3*x-1)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A192880 8.48218 [-x*(6-8*x^2+5*x^3+8*x^4+x^5-3*x)/(1+x)/(x^2+3*x-1)/(x^4-2*x^3-7*x^2-2*x+1) lgdogf] A192882 10.5537 [-(-3-16*x+x^4+2*x^5-11*x^2)/(x^2+x+1)/(x^4-2*x^3-7*x^2-2*x+1) lgdogf] A192882 4.70095 [-(16*f(x)+37)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-x) ogf] A192882 8.95114 [(x^2+x+1)*x/(x^4-2*x^3-7*x^2-2*x+1) ogf] A192883 12.0714 [-x*(-10-8*x^2+x^3+16*x)/(1+x)/(x^2-3*x+1)/(x^2-4*x+2) lgdogf] A192883 12.3224 [(x^2-4*x+2)/(x+1)/(x^2-3*x+1) ogf] A192883 6.37004 [(10212*f(x)-4799)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)+4*x-2) ogf] A192883 6.77176 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=0,a(2)=5} ogf] A192883 7.99644 [-(-x^4+8*x^3-16*x^2+10*x)/(-x^5+6*x^4-8*x^3-5*x^2+8*x-2) lgdogf] A192886 10.2409 [(-4+8*x-8*x^3+21*x^4-17*x^5+8*x^6)/(x-1)/(-1+2*x)/(x^5-x^4+2*x^3+3*x^2-1) lgdogf] A192886 6.67489 [x^4*(x^5-x^4+2*x^3+3*x^2-1)*(x-1)^2/(2*x-1)^3 ogf] A192904 5.27334 [-(21*f(x)-19)*(f(x)*x^4+f(x)*x^3+x^3+3*f(x)*x+x^2-f(x)-3*x+1) ogf] A192904 9.55316 [-(x-1)*(x^2+2*x-1)/(x^4+x^3+3*x-1) ogf] A192904 9.83758 [-x*(1+x)*(x^2+3*x-2)*(x^2-2*x-1)/(x-1)/(x^2+2*x-1)/(x^4+x^3+3*x-1) lgdogf] A192905 11.0048 [-(-3+2*x-4*x^3+x^4+2*x^5-6*x^2)/(x-1)/(1+x)/(x^4+x^3+3*x-1) lgdogf] A192905 11.5644 [x*(x-1)*(x+1)/(x^4+x^3+3*x-1) ogf] A192905 5.93844 [-(9*f(x)-5)*(f(x)*x^4+f(x)*x^3-x^3+3*f(x)*x-f(x)+x) ogf] A192906 4.52802 [(53*f(x)-18)*(f(x)*x^4+f(x)*x^3+3*f(x)*x-x^2-f(x)-2*x+1) ogf] A192906 8.38797 [(x^2+2*x-1)/(x^4+x^3+3*x-1) ogf] A192906 9.07189 [-(-1+2*x+7*x^4+2*x^5-6*x^2)/(x^2+2*x-1)/(x^4+x^3+3*x-1) lgdogf] A192907 12.0621 [-(4+6*x^3+3*x^4+3*x^2)/(1+x)/(x^4+x^3+3*x-1) lgdogf] A192907 4.91154 [(238*f(x)-47)*(f(x)*x^4+f(x)*x^3+3*f(x)*x+x^2-f(x)+x) ogf] A192907 9.47839 [-x*(x+1)/(x^4+x^3+3*x-1) ogf] A192908 4.82159 [{a(n+4)-4*a(n+3)+4*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A192908 5.34833 [(1+2*f(x))*(f(x)*x^3-4*f(x)*x^2-2*x^3+4*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A192908 9.22391 [(2*x-1)*(x^2-x+1)/(x-1)/(x^2-3*x+1) ogf] A192908 9.58648 [-(-1+2*x-10*x^3+5*x^4+3*x^2)/(x-1)/(-1+2*x)/(x^2-3*x+1)/(x^2-x+1) lgdogf] A192909 7.13495 [-(1+x)*(x^7+x^6-6*x^5+12*x^4-6*x^3+4*x^2-3*x+1)/(x-1)/(x^2-x+1)/(x^4+x^3+3*x-1)/(x^2+2*x-1) lgdogf] A192909 7.79369 [-(x^2-x+1)*(x^2+2*x-1)/(x-1)/(x^4+x^3+3*x-1) ogf] A192910 10.7495 [x*(x+1)*(x^2-x+1)/(x-1)/(x^4+x^3+3*x-1) ogf] A192910 9.98305 [-2*(-2+3*x+x^7+4*x^3+x^4-3*x^2)/(x-1)/(1+x)/(x^2-x+1)/(x^4+x^3+3*x-1) lgdogf] A192911 6.66440 [-x^2*(6*x^6+12*x^5-2*x+23*x^2+6*x^3-3*x^4-9)/(1+x)/(2*x^2+2*x-1)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) lgdogf] A192911 6.95104 [(x+1)*(2*x^2+2*x-1)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) ogf] A192912 6.80181 [-x*(2*x^3-x^2-x+1)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) ogf] A192912 7.33833 [-2*x*(x-1)*(3*x^6-x^5+3*x^3-9*x^2-12*x-3)/(2*x^3-x^2-x+1)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) lgdogf] A192913 7.16602 [x^2*(x+1)*(x-2)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) ogf] A192913 7.17147 [-(-3-14*x+4*x^7-26*x^3+9*x^4-4*x^5-8*x^6-35*x^2)/(x-2)/(1+x)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) lgdogf] A192914 11.2827 [-x*(-10-4*x^2+3*x^3+13*x)/(1+x)/(x^2-3*x+1)/(3*x^2-2*x+1) lgdogf] A192914 12.3781 [(3*x^2-2*x+1)/(x+1)/(x^2-3*x+1) ogf] A192914 6.18906 [-(4481*f(x)+11144)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A192914 6.80240 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=5} ogf] A192914 8.03262 [-(3*x^4-4*x^3+13*x^2-10*x)/(3*x^5-8*x^4-x^3+5*x^2-4*x+1) lgdogf] A192916 11.4581 [-x*(-12-4*x^2+4*x^3+15*x)/(1+x)/(x^2-3*x+1)/(4*x^2-2*x+1) lgdogf] A192916 12.5454 [(4*x^2-2*x+1)/(x+1)/(x^2-3*x+1) ogf] A192916 6.2727 [-(9049*f(x)+37607)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-4*x^2+f(x)+2*x-1) ogf] A192916 6.89432 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=6} ogf] A192916 8.05547 [-(4*x^4-4*x^3+15*x^2-12*x)/(4*x^5-10*x^4-3*x^3+6*x^2-4*x+1) lgdogf] A192917 13.7241 [-x*(4*x-5)/(x+1)/(x^2-3*x+1) ogf] A192917 13.8842 [-(6+20*x+8*x^3-23*x^2)/(4*x-5)/(1+x)/(x^2-3*x+1) lgdogf] A192917 6.62945 [-(14767*f(x)-3404)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-5*x) ogf] A192917 7.04753 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=6} ogf] A192917 9.31281 [-(-8*x^3+23*x^2-20*x-6)/(-4*x^4+13*x^3-2*x^2-14*x+5) lgdogf] A192919 11.3754 [-x*(-16-12*x^2+2*x^3+25*x)/(1+x)/(x^2-3*x+1)/(2*x^2-6*x+3) lgdogf] A192919 12.7127 [(2*x^2-6*x+3)/(x+1)/(x^2-3*x+1) ogf] A192919 6.30466 [-(99027*f(x)-34937)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)+6*x-3) ogf] A192919 6.98625 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=3,a(1)=0,a(2)=8} ogf] A192919 7.91300 [-(-2*x^4+12*x^3-25*x^2+16*x)/(-2*x^5+10*x^4-11*x^3-8*x^2+12*x-3) lgdogf] A192920 12.0427 [-x*(2*x-5)/(x+1)/(x^2-3*x+1) ogf] A192920 14.0924 [-(8+20*x+4*x^3-19*x^2)/(2*x-5)/(1+x)/(x^2-3*x+1) lgdogf] A192920 5.81724 [-(13367*f(x)+7788)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-5*x) ogf] A192920 6.18408 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=8} ogf] A192920 8.27028 [-(-4*x^3+19*x^2-20*x-8)/(-2*x^4+9*x^3-6*x^2-12*x+5) lgdogf] A192921 11.3295 [-(2-4*x+4*x^4+5*x^2)/(2*x+1)/(-1+2*x)/(1+x)/(x^2-3*x+1) lgdogf] A192921 13.9167 [-(2*x-1)*(2*x+1)/(x+1)/(x^2-3*x+1) ogf] A192921 7.0826 [(449*f(x)-1082)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-1) ogf] A192921 7.08261 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A192921 9.01423 [-(-4*x^4-5*x^2+4*x-2)/(-4*x^5+8*x^4+9*x^3-6*x^2-2*x+1) lgdogf] A192922 3.84298 [(f(x)-1)*(f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2-3*x^3-2*f(x)*x+x^2+f(x)+2*x-1) ogf] A192922 6.70768 [-x*(-2+4*x^2-3*x^3-2*x^4+3*x^5+2*x)/(3*x^3-x^2-2*x+1)/(x^4+3*x^3-2*x^2-2*x+1) lgdogf] A192922 6.83751 [(3*x^3-x^2-2*x+1)/(x^4+3*x^3-2*x^2-2*x+1) ogf] A192923 5.27329 [f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x+f(x)-x ogf] A192923 8.35614 [-x*(2*x^2-1)/(x^4+3*x^3-2*x^2-2*x+1) ogf] A192923 8.59923 [-(2-4*x^3+6*x^4+4*x^5-5*x^2)/(2*x^2-1)/(x^4+3*x^3-2*x^2-2*x+1) lgdogf] A192928 5.77377 [-(x+1)*(x^7-x^6+x^5+x-1)/(x^4+x-1)/(x^8+x^2-1) ogf] A192932 6.26602 [-(x^5+4*x^3+5*x^2+9*x-9)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A192937 2.83049 [(387060504030201*f(x)+295851215080100)*(100*f(x)*x^3-201*f(x)*x^2+102*f(x)*x+100*x^2-f(x)-201*x+100) ogf] A192937 3.33910 [{a(n+3)-102*a(n+2)+201*a(n+1)-100*a(n),a(0)=100,a(1)=9999,a(2)=999898} ogf] A192937 5.85486 [-(100*x^2-201*x+100)/(100*x-1)/(x-1)^2 ogf] A192940 4.27353 [{(-4*n^2-18*n-19)*a(n+1)+(4*n+11)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A192942 4.40921 [{(-n^2-6*n-4)*a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=0,a(1)=2,a(2)=10} ogf] A192945 11.2964 [-x-2+2*f(x)+f(x)^2-f(x)^3 ogf] A192945 3.67633 [{(27*n^2-3)*a(n)+(68*n^2+102*n+34)*a(n+1)+(-8*n^2-24*n-16)*a(n+2),a(0)=1,a(1)=1,a(2)=2} ogf] A192950 4.35550 [{(-n^2-6*n-4)*a(n+1)+(2*n+7)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A192951 11.0489 [-x*(2*x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A192951 14.7399 [-(2*x+1)*(2*x^3+3*x-3)/(x-1)/(2*x^2+1)/(x^2+x-1) lgdogf] A192951 3.98989 [{(3*n+8)*a(n+1)+3*a(n+2)+(-6*n-13)*a(n+3)+(3*n+5)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=9} ogf] A192951 5.65496 [(46*f(x)-99)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x-f(x)+x) ogf] A192951 8.16115 [-(-4*x^4-2*x^3-6*x^2+3*x+3)/(-2*x^5+3*x^3-2*x^2+2*x-1) lgdogf] A192952 10.2597 [-x*(3*x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A192952 14.4746 [-2*(-1-2*x+3*x^4+3*x^2)/(x-1)/(3*x^2-x+1)/(x^2+x-1) lgdogf] A192952 4.16087 [{(3*n+7)*a(n+1)+3*a(n+2)+(-6*n-11)*a(n+3)+(3*n+4)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=7} ogf] A192952 5.54782 [(24*f(x)-43)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*x^3+3*f(x)*x-x^2-f(x)+x) ogf] A192952 8.51086 [-(-6*x^4-6*x^2+4*x+2)/(-3*x^5+x^4+5*x^3-5*x^2+3*x-1) lgdogf] A192953 10.0633 [-x*(2*x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A192953 13.6579 [-(-2-2*x-x^3+4*x^4+5*x^2)/(x-1)/(2*x^2-x+1)/(x^2+x-1) lgdogf] A192953 4.10403 [{(2*n+5)*a(n+1)+2*a(n+2)+(-4*n-8)*a(n+3)+(2*n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A192953 5.28505 [-(72*f(x)-71)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x-x^2-f(x)+x) ogf] A192953 7.65231 [-(-4*x^4+x^3-5*x^2+2*x+2)/(-2*x^5+x^4+3*x^3-4*x^2+3*x-1) lgdogf] A192954 11.0549 [-(1+5*x+5*x^3-7*x^4+x^5-9*x^2)/(x-1)/(x^2+x-1)/(x^3-4*x^2+2*x-1) lgdogf] A192954 3.96558 [{(-2*n-7)*a(n+1)-2*a(n+2)+(4*n+12)*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=5,a(3)=11} ogf] A192954 5.11869 [(400*f(x)-793)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A192954 9.37319 [(x^3-4*x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192955 11.6409 [-2*(1+x+x^3-5*x^4+x^5-2*x^2)/(x-1)/(x^2+x-1)/(x^3-4*x^2+2*x-1) lgdogf] A192955 8.22924 [-x*(x^3-4*x^2+2*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192956 11.1849 [-x*(8+9*x^2-10*x^3+2*x^4-13*x)/(x-1)/(x^2+x-1)/(2*x^3-6*x^2+3*x-1) lgdogf] A192956 4.16087 [{(2*n+7)*a(n+1)+2*a(n+2)+(-4*n-12)*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=0,a(2)=4,a(3)=9} ogf] A192956 5.02655 [-(13696*f(x)-35429)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A192956 9.72670 [(2*x^3-6*x^2+3*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192957 10.4084 [-(1+4*x+4*x^3-14*x^4+4*x^5-5*x^2)/(x-1)/(x^2+x-1)/(2*x^3-6*x^2+3*x-1) lgdogf] A192957 8.18929 [-x*(2*x^3-6*x^2+3*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192958 10.1124 [-(-1+11*x+13*x^3-13*x^4+3*x^5-17*x^2)/(x-1)/(x^2+x-1)/(3*x^3-8*x^2+4*x-1) lgdogf] A192958 4.13788 [{(-2*n-7)*a(n+1)-2*a(n+2)+(4*n+12)*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=-1,a(2)=3,a(3)=7} ogf] A192958 5.31174 [(148*f(x)-473)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-3*x^3+3*f(x)*x+8*x^2-f(x)-4*x+1) ogf] A192958 9.72670 [(3*x^3-8*x^2+4*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192959 11.9104 [-6*x*(1+x^2-3*x^3+x^4-x)/(x-1)/(x^2+x-1)/(3*x^3-8*x^2+4*x-1) lgdogf] A192959 8.10939 [-x*(3*x^3-8*x^2+4*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192960 11.2130 [-(x+1)*(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A192960 12.5373 [-(-3+x+3*x^3+x^4+x^5+x^2)/(x-1)/(1+x)/(x^2-x+1)/(x^2+x-1) lgdogf] A192960 4.00465 [{(-2*n-7)*a(n+1)-2*a(n+2)+(4*n+12)*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=15} ogf] A192960 5.60651 [-(4*f(x)-17)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x-f(x)+1) ogf] A192960 7.59216 [-(-x^5-x^4-3*x^3-x^2-x+3)/(-x^6+2*x^4-2*x^3+2*x-1) lgdogf] A192961 10.2764 [x*(x+1)*(x^2-x+1)/(x^2+x-1)/(x-1)^3 ogf] A192961 12.9739 [-2*(-2+x+x^3+x^4+x^5+x^2)/(x-1)/(1+x)/(x^2-x+1)/(x^2+x-1) lgdogf] A192961 7.81436 [-(-2*x^5-2*x^4-2*x^3-2*x^2-2*x+4)/(-x^6+2*x^4-2*x^3+2*x-1) lgdogf] A192962 11.5262 [-(2+4*x+3*x^3-5*x^4+x^5-9*x^2)/(x-1)/(x^2+x-1)/(x^3-3*x^2+x-1) lgdogf] A192962 4.02678 [{(n+4)*a(n+1)+a(n+2)+(-2*n-7)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=15} ogf] A192962 4.95814 [-(1773*f(x)-4495)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)-x+1) ogf] A192962 9.46555 [(x^3-3*x^2+x-1)/(x^2+x-1)/(x-1)^2 ogf] A192963 10.9097 [-(2*x+1)*(x^4-4*x^3+2*x^2-4*x+3)/(x-1)/(x^2+x-1)/(x^3-3*x^2+x-1) lgdogf] A192963 3.93777 [{(-n-4)*a(n+1)-2*a(n+2)+(2*n+6)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=10} ogf] A192963 7.96402 [-x*(x^3-3*x^2+x-1)/(x^2+x-1)/(x-1)^3 ogf] A192964 13.0543 [-x*(1+x^2)*(x^2-9*x+6)/(x-1)/(x^2+x-1)/(x^3-5*x^2+3*x-1) lgdogf] A192964 4.14407 [{(n+3)*a(n+1)+a(n+2)+(-2*n-5)*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=0,a(2)=3,a(3)=7} ogf] A192964 5.11578 [-(223*f(x)-393)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+5*x^2-f(x)-3*x+1) ogf] A192964 9.63362 [(x^3-5*x^2+3*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192965 10.6130 [-(1+2*x+4*x^3-13*x^4+2*x^5-2*x^2)/(x-1)/(x^2+x-1)/(x^3-5*x^2+3*x-1) lgdogf] A192965 4.03204 [{(-n-3)*a(n+1)-2*a(n+2)+(2*n+4)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=4} ogf] A192965 8.10939 [-x*(x^3-5*x^2+3*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192966 11.2935 [-(2*x+1)*(x^4-4*x^3+4*x^2-4*x+2)/(x-1)/(x^2+x-1)/(x^3-3*x^2+2*x-1) lgdogf] A192966 4.22415 [{(-n-4)*a(n+1)-2*a(n+2)+(2*n+6)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A192966 7.56123 [-(-2*x^5+7*x^4-4*x^3+4*x^2-2)/(-x^6+3*x^5-6*x^3+7*x^2-4*x+1) lgdogf] A192966 8.49576 [-x*(x^3-3*x^2+2*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192967 10.2514 [(x^3-4*x^2+3*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192967 12.9741 [-x*(4+8*x^2-7*x^3+x^4-8*x)/(x-1)/(x^2+x-1)/(x^3-4*x^2+3*x-1) lgdogf] A192967 4.40982 [{(-n-3)*a(n+1)-a(n+2)+(2*n+5)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=4} ogf] A192967 5.59827 [-(f(x)-1)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A192968 11.4331 [-(1+6*x^3-10*x^4+2*x^5-2*x^2)/(x-1)/(x^2+x-1)/(x^3-4*x^2+3*x-1) lgdogf] A192968 4.08401 [{(-n-3)*a(n+1)-2*a(n+2)+(2*n+4)*a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A192968 8.21391 [-x*(x^3-4*x^2+3*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192969 11.9065 [-(2+2*x+4*x^3-3*x^4+x^5-8*x^2)/(x-1)/(x^2+x-1)/(x^3-2*x^2+x-1) lgdogf] A192969 4.15767 [{(-n-5)*a(n+1)-a(n+2)+(2*n+9)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=12} ogf] A192969 5.33716 [(211*f(x)-515)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+2*x^2-f(x)-x+1) ogf] A192969 9.77323 [(x^3-2*x^2+x-1)/(x^2+x-1)/(x-1)^2 ogf] A192970 11.9104 [-(3+2*x^3-4*x^4+2*x^5-6*x^2)/(x-1)/(x^2+x-1)/(x^3-2*x^2+x-1) lgdogf] A192970 8.14934 [-x*(x^3-2*x^2+x-1)/(x^2+x-1)/(x-1)^3 ogf] A192971 11.4462 [-(2+8*x+x^3-9*x^4+x^5-11*x^2)/(x-1)/(x^2+x-1)/(x^3-5*x^2+x-1) lgdogf] A192971 3.91387 [{(2*n+7)*a(n+1)+2*a(n+2)+(-4*n-12)*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=9,a(3)=21} ogf] A192971 4.98129 [(2536*f(x)-9815)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x+5*x^2-f(x)-x+1) ogf] A192971 9.25097 [(x^3-5*x^2+x-1)/(x^2+x-1)/(x-1)^2 ogf] A192972 11.0673 [-(3+6*x-4*x^3-13*x^4+2*x^5-6*x^2)/(x-1)/(x^2+x-1)/(x^3-5*x^2+x-1) lgdogf] A192972 8.20176 [-x*(x^3-5*x^2+x-1)/(x^2+x-1)/(x-1)^3 ogf] A192973 11.0131 [-(3*x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A192973 13.2405 [-(-3-5*x+3*x^3+6*x^4+7*x^2)/(x-1)/(3*x^2+1)/(x^2+x-1) lgdogf] A192973 3.91175 [{(-2*n-7)*a(n+1)-2*a(n+2)+(4*n+12)*a(n+3)+(-2*n-5)*a(n+4),a(0)=1,a(1)=3,a(2)=10,a(3)=23} ogf] A192973 5.46451 [(1768*f(x)-7703)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+1) ogf] A192973 8.13467 [-(-6*x^4-3*x^3-7*x^2+5*x+3)/(-3*x^5+5*x^3-3*x^2+2*x-1) lgdogf] A192974 13.5732 [-(-4-4*x+6*x^3+9*x^4+5*x^2)/(x-1)/(3*x^2+1)/(x^2+x-1) lgdogf] A192974 8.29497 [-(-9*x^4-6*x^3-5*x^2+4*x+4)/(-3*x^5+5*x^3-3*x^2+2*x-1) lgdogf] A192974 9.99941 [x*(3*x^2+1)/(x^2+x-1)/(x-1)^3 ogf] A192975 3.91387 [{(2*n+7)*a(n+1)+2*a(n+2)+(-4*n-12)*a(n+3)+(2*n+5)*a(n+4),a(0)=1,a(1)=1,a(2)=8,a(3)=19} ogf] A192975 4.9467 [(9848*f(x)-43349)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+7*x^2-f(x)-2*x+1) ogf] A192975 9.25097 [(2*x^3-7*x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A192975 9.83407 [-(1+11*x+5*x^3-12*x^4+2*x^5-15*x^2)/(x-1)/(x^2+x-1)/(2*x^3-7*x^2+2*x-1) lgdogf] A192976 10.3747 [-(2+8*x-2*x^3-17*x^4+4*x^5-7*x^2)/(x-1)/(x^2+x-1)/(2*x^3-7*x^2+2*x-1) lgdogf] A192976 8.16213 [-x*(2*x^3-7*x^2+2*x-1)/(x^2+x-1)/(x-1)^3 ogf] A192978 14.9308 [-(-4+2*x^3+3*x^4+5*x^2)/(x-1)/(x^2+1)/(x^2+x-1) lgdogf] A192978 8.48006 [-(-3*x^4-2*x^3-5*x^2+4)/(-x^5+x^3-x^2+2*x-1) lgdogf] A192978 9.75788 [x*(x^2+1)/(x^2+x-1)/(x-1)^3 ogf] A192979 10.8544 [-(3*x^2-2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A192979 14.1273 [-(x^2+1)*(6*x^2-3*x-1)/(x-1)/(3*x^2-2*x+1)/(x^2+x-1) lgdogf] A192979 4.16087 [{(n+3)*a(n+1)+a(n+2)+(-2*n-5)*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=9} ogf] A192979 5.63124 [(351*f(x)-428)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A192979 7.80162 [-(-6*x^4+3*x^3-5*x^2+3*x+1)/(-3*x^5+2*x^4+5*x^3-7*x^2+4*x-1) lgdogf] A192980 14.0123 [-(-2-2*x^3+9*x^4+x^2)/(x-1)/(3*x^2-2*x+1)/(x^2+x-1) lgdogf] A192980 7.88360 [-(-9*x^4+2*x^3-x^2+2)/(-3*x^5+2*x^4+5*x^3-7*x^2+4*x-1) lgdogf] A192980 8.95421 [x*(3*x^2-2*x+1)/(x^2+x-1)/(x-1)^3 ogf] A192981 10.6467 [-(4*x^2-3*x+1)/(x^2+x-1)/(x-1)^2 ogf] A192981 13.6579 [-x*(-4-5*x^2+8*x^3+5*x)/(x-1)/(4*x^2-3*x+1)/(x^2+x-1) lgdogf] A192981 4.10403 [{(2*n+5)*a(n+1)+2*a(n+2)+(-4*n-8)*a(n+3)+(2*n+3)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=5} ogf] A192981 5.28505 [-(1016*f(x)-1339)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A192981 7.89916 [-(8*x^4-5*x^3+5*x^2-4*x)/(4*x^5-3*x^4-7*x^3+10*x^2-5*x+1) lgdogf] A192982 12.7277 [-(2*x+1)*(6*x^3-5*x^2+2*x-1)/(x-1)/(4*x^2-3*x+1)/(x^2+x-1) lgdogf] A192982 7.96762 [-(-12*x^4+4*x^3+x^2+1)/(-4*x^5+3*x^4+7*x^3-10*x^2+5*x-1) lgdogf] A192982 9.24637 [x*(4*x^2-3*x+1)/(x^2+x-1)/(x-1)^3 ogf] A192989 21.5051 [3*(x+1)^2 lgdegf] A192989 3.40193 [{(-3*n^2-15*n-18)*a(n+1)+(-6*n-18)*a(n+2)+a(n+4)-3*a(n+3),a(0)=1,a(1)=3,a(2)=15,a(3)=87} ogf] A192989 65.5732 [3*(1+x)^2 lgdegf] A193004 7.66256 [(x^4-3*x^3+10*x^2-3*x+1)/(x^2+x-1)/(x-1)^3 ogf] A193004 8.82869 [-(-1-12*x-2*x^3+28*x^4-4*x^5+x^6+8*x^2)/(x-1)/(x^2+x-1)/(x^4-3*x^3+10*x^2-3*x+1) lgdogf] A193005 6.92705 [-x*(x^4-3*x^3+10*x^2-3*x+1)/(x^2+x-1)/(x-1)^4 ogf] A193005 8.93553 [-2*(-1-4*x+4*x^3+17*x^4-3*x^5+x^6-2*x^2)/(x-1)/(x^2+x-1)/(x^4-3*x^3+10*x^2-3*x+1) lgdogf] A193006 7.62537 [(2*x^4-6*x^3+13*x^2-4*x+1)/(x^2+x-1)/(x-1)^3 ogf] A193006 8.61335 [-x*(-16-10*x^2+35*x^3-8*x^4+2*x^5+15*x)/(x-1)/(x^2+x-1)/(2*x^4-6*x^3+13*x^2-4*x+1) lgdogf] A193007 6.89407 [-x*(2*x^4-6*x^3+13*x^2-4*x+1)/(x^2+x-1)/(x-1)^4 ogf] A193007 8.67809 [-(-1-11*x+5*x^3+40*x^4-12*x^5+4*x^6-x^2)/(x-1)/(x^2+x-1)/(2*x^4-6*x^3+13*x^2-4*x+1) lgdogf] A193008 12.6748 [-(-2-8*x+6*x^3+21*x^4+x^2)/(x-1)/(7*x^2-2*x+1)/(x^2+x-1) lgdogf] A193008 7.31089 [-(-21*x^4-6*x^3-x^2+8*x+2)/(-7*x^5+2*x^4+13*x^3-11*x^2+4*x-1) lgdogf] A193008 9.39971 [(7*x^2-2*x+1)/(x^2+x-1)/(x-1)^3 ogf] A193041 11.5720 [-(-3-5*x+11*x^3+28*x^4-7*x^2)/(x-1)/(7*x^2-2*x+1)/(x^2+x-1) lgdogf] A193041 7.78818 [-x*(7*x^2-2*x+1)/(x^2+x-1)/(x-1)^4 ogf] A193044 3.97246 [{(n+4)*a(n+1)+2*a(n+2)+(-2*n-6)*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=5} ogf] A193044 7.64591 [(x^4-4*x^3+7*x^2-4*x+1)/(x^2+x-1)/(x-1)^3 ogf] A193044 9.33872 [-x*(-4-14*x^2+17*x^3-6*x^4+x^5+9*x)/(x-1)/(x^2+x-1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A193045 4.07177 [{(n+4)*a(n+1)+3*a(n+2)+(-2*n-5)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=3} ogf] A193045 6.94140 [-x*(x^4-4*x^3+7*x^2-4*x+1)/(x^2+x-1)/(x-1)^4 ogf] A193045 9.44975 [-(-1+x-7*x^3+19*x^4-9*x^5+2*x^6-x^2)/(x-1)/(x^2+x-1)/(x^4-4*x^3+7*x^2-4*x+1) lgdogf] A193046 6.24584 [(x^5-6*x^4-x^3-21*x^2+4*x-1)/(x^2+x-1)/(x-1)^4 ogf] A193046 7.24126 [-(1+27*x-20*x^3-110*x^4-16*x^5-9*x^6+30*x^2+x^7)/(x-1)/(x^2+x-1)/(x^5-6*x^4-x^3-21*x^2+4*x-1) lgdogf] A193047 5.54066 [-x*(x^5-6*x^4-x^3-21*x^2+4*x-1)/(x^2+x-1)/(x-1)^5 ogf] A193047 7.20041 [-2*(1+11*x-18*x^3-63*x^4-12*x^5-7*x^6+27*x^2+x^7)/(x-1)/(x^2+x-1)/(x^5-6*x^4-x^3-21*x^2+4*x-1) lgdogf] A193048 4.03857 [{(-n-5)*a(n+1)-4*a(n+2)+(2*n+6)*a(n+3)+(-n-1)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A193048 5.56080 [(x^2-x+1)*(x^4-5*x^3+9*x^2-5*x+1)/(x^2+x-1)/(x-1)^5 ogf] A193049 4.02737 [{(n+5)*a(n+1)+5*a(n+2)+(-2*n-5)*a(n+3)+a(n+4)*n,a(0)=0,a(1)=1,a(2)=1,a(3)=2,a(4)=4} ogf] A193049 5.15391 [-x*(x^2-x+1)*(x^4-5*x^3+9*x^2-5*x+1)/(x^2+x-1)/(x-1)^6 ogf] A193052 4.47872 [(157*f(x)+3013)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x-23*x^2-f(x)+10*x-1) ogf] A193052 4.75373 [{-a(n+3)+12*a(n+2)-47*a(n+1)+60*a(n),a(0)=-1,a(1)=-2,a(2)=0} ogf] A193052 7.18507 [-2*(1-24*x-600*x^3+690*x^4+187*x^2)/(4*x-1)/(3*x-1)/(5*x-1)/(23*x^2-10*x+1) lgdogf] A193052 8.21098 [(23*x^2-10*x+1)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A193053 13.9280 [-(-5-15*x-8*x^3+2*x^4-16*x^2)/(x-1)/(1+x)/(x^3-3*x^2-4*x-1) lgdogf] A193053 8.54571 [-(-2*x^4+8*x^3+16*x^2+15*x+5)/(-x^5+3*x^4+5*x^3-2*x^2-4*x-1) lgdogf] A193053 9.85271 [(x^3-3*x^2-4*x-1)/(x+1)^2/(x-1)^3 ogf] A193068 11.3301 [2*(x^2-3*x+6)/(x-1)^4 ogf] A193068 12.2017 [-(-2*x^2+7*x-21)/(-x^3+4*x^2-9*x+6) lgdogf] A193068 23.5865 [-(21-7*x+2*x^2)/(x-1)/(x^2-3*x+6) lgdogf] A193068 3.88779 [{(6*n+24)*a(n+4)+(-48-9*n)*a(n+3)+(15+4*n)*a(n+2)+(-3-n)*a(n+1),a(0)=12,a(1)=42,a(2)=98,a(3)=188} ogf] A193068 5.62489 [(284800*f(x)+1738337)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+6*x-12) ogf] A193090 8.03620 [-(9*x^8+2*x^7+7*x^6+6*x^5+8*x^4+4*x^3+3*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A193127 6.07468 [2*(x^4+2*x^3-16*x^2+2*x+1)/(x-1)^2/(x^2-7*x+1)^2 ogf] A193127 7.48933 [-2*(9-24*x+127*x^3-48*x^4+3*x^5+x^6-18*x^2)/(x-1)/(x^2-7*x+1)/(x^4+2*x^3-16*x^2+2*x+1) lgdogf] A193132 17.2290 [12/(16*x-1)^2 ogf] A193132 21.2491 [32/(-16*x+1) lgdogf] A193132 48.1646 [-32/(-1+16*x) lgdogf] A193132 7.24400 [{-a(n+2)+32*a(n+1)-256*a(n),a(0)=12,a(1)=384} ogf] A193132 7.32728 [(5*f(x)+132)*(256*f(x)*x^2-32*f(x)*x+f(x)-12) ogf] A193146 11.6819 [1/(x-1)/(x+1)/(x^4+x-1) ogf] A193146 12.3365 [-(-1-2*x-4*x^3+6*x^5+3*x^2)/(x-1)/(1+x)/(x^4+x-1) lgdogf] A193147 11.9292 [-(5*x^4+6*x^2+1)/(x^5+2*x^3+x-1) lgdogf] A193147 18.1053 [-(5*x^2+1)*(1+x^2)/(x^2+x+1)/(x^3-x^2+2*x-1) lgdogf] A193147 19.7850 [-1/(x^2+x+1)/(x^3-x^2+2*x-1) ogf] A193215 6.48375 [f(x)^2*x^4-3*f(x)^2*x^2+2*f(x)*x^3+2*f(x)^2*x+f(x)*x^2-2*f(x)*x+x^2-f(x)+2*x+1 ogf] A193218 10.2221 [(x+1)*(x^2+16*x+1)/(x-1)^4 ogf] A193218 10.4876 [-(x^3+37*x^2+85*x+21)/(x^4+16*x^3-16*x-1) lgdogf] A193218 17.2390 [-(21+85*x+x^3+37*x^2)/(x-1)/(1+x)/(x^2+16*x+1) lgdogf] A193218 4.38883 [{(-7*n^2-32*n-36)*a(n+1)+(14*n^2+70*n+147)*a(n+2)+(-7*n^2-38*n-51)*a(n+3),a(0)=1,a(1)=21,a(2)=95} ogf] A193218 5.41976 [(85104*f(x)+1148807)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-17*x^2+f(x)-17*x-1) ogf] A193228 10.3300 [(x+1)*(x^2+34*x+1)/(x-1)^4 ogf] A193228 10.4624 [-(x^3+73*x^2+175*x+39)/(x^4+34*x^3-34*x-1) lgdogf] A193228 17.0558 [-(39+175*x+x^3+73*x^2)/(x-1)/(1+x)/(x^2+34*x+1) lgdogf] A193228 4.31782 [{(-16*n^2-77*n-90)*a(n+1)+(32*n^2+160*n+309)*a(n+2)+(-16*n^2-83*n-105)*a(n+3),a(0)=1,a(1)=39,a(2)=185} ogf] A193228 5.55148 [(5373*f(x)+153263)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-35*x^2+f(x)-35*x-1) ogf] A193248 10.0360 [-(x^3+181*x^2+445*x+93)/(x^4+88*x^3-88*x-1) lgdogf] A193248 10.0360 [(x+1)*(x^2+88*x+1)/(x-1)^4 ogf] A193248 16.2213 [-(93+445*x+x^3+181*x^2)/(x-1)/(1+x)/(x^2+88*x+1) lgdogf] A193248 4.12939 [{(43*n^2+212*n+252)*a(n+1)+(-86*n^2-430*n-795)*a(n+2)+(43*n^2+218*n+267)*a(n+3),a(0)=1,a(1)=93,a(2)=455} ogf] A193248 5.32109 [(28080*f(x)+2068591)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-89*x^2+f(x)-89*x-1) ogf] A193249 15.5160 [-(153+745*x+x^3+301*x^2)/(x-1)/(1+x)/(x^2+148*x+1) lgdogf] A193249 4.05079 [{(73*n^2+362*n+432)*a(n+1)+(-146*n^2-730*n-1335)*a(n+2)+(73*n^2+368*n+447)*a(n+3),a(0)=1,a(1)=153,a(2)=755} ogf] A193249 5.09616 [(6015600*f(x)+744975737)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-149*x^2+f(x)-149*x-1) ogf] A193249 9.63299 [-(x^3+301*x^2+745*x+153)/(x^4+148*x^3-148*x-1) lgdogf] A193249 9.75191 [(x+1)*(x^2+148*x+1)/(x-1)^4 ogf] A193250 10.0248 [(x+1)*(x^2+46*x+1)/(x-1)^4 ogf] A193250 10.1533 [-(x^3+97*x^2+235*x+51)/(x^4+46*x^3-46*x-1) lgdogf] A193250 16.5452 [-(51+235*x+x^3+97*x^2)/(x-1)/(1+x)/(x^2+46*x+1) lgdogf] A193250 4.12478 [{(22*n^2+107*n+126)*a(n+1)+(-44*n^2-220*n-417)*a(n+2)+(22*n^2+113*n+141)*a(n+3),a(0)=1,a(1)=51,a(2)=245} ogf] A193250 5.35107 [(10944*f(x)+421927)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-47*x^2+f(x)-47*x-1) ogf] A193251 15.3044 [-(123+595*x+x^3+241*x^2)/(x-1)/(1+x)/(x^2+118*x+1) lgdogf] A193251 3.99654 [{(58*n^2+287*n+342)*a(n+1)+(-116*n^2-580*n-1065)*a(n+2)+(58*n^2+293*n+357)*a(n+3),a(0)=1,a(1)=123,a(2)=605} ogf] A193251 5.09363 [(480960*f(x)+47496559)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-119*x^2+f(x)-119*x-1) ogf] A193251 9.50398 [-(x^3+241*x^2+595*x+123)/(x^4+118*x^3-118*x-1) lgdogf] A193251 9.62131 [(x+1)*(x^2+118*x+1)/(x-1)^4 ogf] A193252 10.2969 [-(x^3+145*x^2+355*x+75)/(x^4+70*x^3-70*x-1) lgdogf] A193252 10.2969 [(x+1)*(x^2+70*x+1)/(x-1)^4 ogf] A193252 16.6484 [-(75+355*x+x^3+145*x^2)/(x-1)/(1+x)/(x^2+70*x+1) lgdogf] A193252 4.23677 [{(-34*n^2-167*n-198)*a(n+1)+(68*n^2+340*n+633)*a(n+2)+(-34*n^2-173*n-213)*a(n+3),a(0)=1,a(1)=75,a(2)=365} ogf] A193252 5.53373 [(6912*f(x)+405163)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-71*x^2+f(x)-71*x-1) ogf] A193253 15.6570 [-(183+895*x+x^3+361*x^2)/(x-1)/(1+x)/(x^2+178*x+1) lgdogf] A193253 4.08696 [{(88*n^2+437*n+522)*a(n+1)+(-176*n^2-880*n-1605)*a(n+2)+(88*n^2+443*n+537)*a(n+3),a(0)=1,a(1)=183,a(2)=905} ogf] A193253 5.20887 [(135405*f(x)+20165618)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-179*x^2+f(x)-179*x-1) ogf] A193253 9.71899 [-(x^3+361*x^2+895*x+183)/(x^4+178*x^3-178*x-1) lgdogf] A193253 9.83898 [(x+1)*(x^2+178*x+1)/(x-1)^4 ogf] A193261 4.85265 [-(-2*x^10-x^9-x^8+x^7-x^6-x^4+x^3-x^2-x-2)/(x^12-x^9+x^3-1) ogf_with_Euler_transform] A193281 10.4440 [(-2*x^2+ln(x-1)*x-ln(x-1)+ln(1+x)*x-ln(1+x)-I*Pi*x+I*Pi)/(x-1)/x^2 lgdegf] A193281 7.23367 [(-2*x+ln(x+1)-2/(x-1)+ln(x-1)-2-I*Pi)/x^2 lgdegf] A193282 12.9228 [-(-1-4*x+16*x^3-8*x^2)/(2*x+1)/(-1+2*x)/(4*x^2-x-1) lgdegf] A193282 8.18346 [-(-16*x^3+8*x^2+4*x+1)/(-16*x^4+4*x^3+8*x^2-x-1) lgdegf] A193287 7.15451 [-1/2*I*(-8*I*x^3+2*I*ln(2*x^2-1)*x^2-I*ln(2*x^2-1)-4*I*x^2+2*x^2*Pi-Pi)/(2*x^2-1)/x^2 lgdegf] A193288 8.15294 [1/3*(-18*x^3+3*ln(3*x^2-1)*x^2-ln(3*x^2-1)-6*x^2-3*I*x^2*Pi+I*Pi)/(3*x^2-1)/x^2 lgdegf] A193289 8.20763 [1/3*(-36*x^3+6*ln(6*x^2-1)*x^2-ln(6*x^2-1)-12*x^2-6*I*Pi*x^2+I*Pi)/(6*x^2-1)/x^2 lgdegf] A193356 12.1378 [(x^2+1)/(x-1)^2/(x+1)^2 ogf] A193356 13.4022 [-(2*x^3+6*x)/(x^4-1) lgdogf] A193356 24.5557 [-2*x*(3+x^2)/(x-1)/(1+x)/(x^2+1) lgdogf] A193356 25.6522 [[-x^3+3*x] ogf_with_Euler_transform] A193356 5.59397 [{(-n-4)*a(n+1)+(n+2)*a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A193356 7.06929 [(16*f(x)+65)*(f(x)*x^4-2*f(x)*x^2-x^2+f(x)-1) ogf] A193361 5.18933 [{a(n+2)*n-a(n+1)*n-a(n+4)+2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A193362 3.98165 [x*(x^10-16*x^9+35*x^8-8*x^7-38*x^6+28*x^5+18*x^4-37*x^3+10*x^2+36*x-31)/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A193382 6.60872 [-2*f(x)^2*x^2+2*f(x)*x^3+2*f(x)^2*x-x^3-f(x)^2-f(x)*x+f(x) ogf] A193383 6.57624 [2*f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2+2*f(x)*x-f(x)-1 ogf] A193390 13.6386 [-(215+70*x-14*x^3+x^4+48*x^2)/(x-1)/(x^4-9*x^3+25*x^2+5*x+42) lgdogf] A193390 7.98276 [-(-x^4+14*x^3-48*x^2-70*x-215)/(-x^5+10*x^4-34*x^3+20*x^2-37*x+42) lgdogf] A193390 8.72343 [-(x^4-9*x^3+25*x^2+5*x+42)/(x-1)^5 ogf] A193391 10.2599 [-(9*x^3+3*x^2-x-27)/(x-1)^4 ogf] A193391 16.0351 [-(-109+3*x+9*x^3+33*x^2)/(x-1)/(9*x^3+3*x^2-x-27) lgdogf] A193391 3.77486 [{(-6441*n^2-46137*n-66510)*a(n+1)+(12454*n^2+59204*n+5154)*a(n+2)+(-6013*n^2-14351*n+11064)*a(n+3),a(0)=27,a(1)=109,a(2)=271} ogf] A193391 5.37093 [(32840*f(x)+20969703)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+9*x^3-4*f(x)*x+3*x^2+f(x)-x-27) ogf] A193391 9.41494 [-(-9*x^3-33*x^2-3*x+109)/(-9*x^4+6*x^3+4*x^2+26*x-27) lgdogf] A193392 11.3874 [-(215-18*x+50*x^3+37*x^4-204*x^2)/(x-1)/(37*x^4-49*x^3-19*x^2+5*x+42) lgdogf] A193392 7.33903 [-(-37*x^4-50*x^3+204*x^2+18*x-215)/(-37*x^5+86*x^4-30*x^3-24*x^2-37*x+42) lgdogf] A193392 8.08034 [-(37*x^4-49*x^3-19*x^2+5*x+42)/(x-1)^5 ogf] A193393 10.2945 [-(7*x^3+15*x^2-3*x+109)/(7*x^4-10*x^3+4*x^2+26*x-27) lgdogf] A193393 11.3504 [(7*x^3-3*x^2+x+27)/(x-1)^4 ogf] A193393 18.1370 [-(109-3*x+7*x^3+15*x^2)/(x-1)/(7*x^3-3*x^2+x+27) lgdogf] A193393 4.33986 [{(-842*n^2-5967*n-8566)*a(n+1)+(1796*n^2+9696*n+6649)*a(n+2)+(-954*n^2-3393*n-1593)*a(n+3),a(0)=27,a(1)=109,a(2)=271} ogf] A193393 6.10573 [(6144*f(x)-10403)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+3*x^2+f(x)-x-27) ogf] A193394 11.7834 [-(-215+18*x-18*x^3+27*x^4-132*x^2)/(x-1)/(27*x^4-63*x^3+19*x^2-5*x-42) lgdogf] A193394 7.69783 [-(27*x^4-18*x^3-132*x^2+18*x-215)/(27*x^5-90*x^4+82*x^3-24*x^2-37*x+42) lgdogf] A193394 8.47538 [(27*x^4-63*x^3+19*x^2-5*x-42)/(x-1)^5 ogf] A193395 8.77034 [-(19*x^4-72*x^3+42*x^2+56*x-109)/(x+1)/(x-1)^4 ogf] A193395 9.92569 [-(-271-293*x-14*x^3-87*x^4+19*x^5+134*x^2)/(x-1)/(1+x)/(19*x^4-72*x^3+42*x^2+56*x-109) lgdogf] A193396 7.57035 [(2*x^5+63*x^4-114*x^3-88*x^2+224*x-215)/(x+1)/(x-1)^5 ogf] A193397 7.42187 [-(35*x^5-53*x^4-14*x^3+98*x^2-53*x-109)/(x+1)^2/(x-1)^4 ogf] A193398 5.53107 [-(94*x^7-99*x^6-126*x^5+221*x^4-78*x^3-145*x^2+206*x+215)/(x+1)^3/(x-1)^5 ogf] A193399 5.31812 [(7*x^5-21*x^4+2*x^3+26*x^2+55*x+27)/(x+1)^2/(x-1)^4 ogf] A193399 6.38274 [-(109+324*x+24*x^3-x^4-28*x^5+7*x^6+333*x^2)/(x-1)/(1+x)/(7*x^5-21*x^4+2*x^3+26*x^2+55*x+27) lgdogf] A193400 5.72806 [(27*x^7-78*x^6-25*x^5+146*x^4-63*x^3-122*x^2-131*x-42)/(x+1)^3/(x-1)^5 ogf] A193410 10.0797 [18*f(x)*x^2-6*f(x)*x+f(x)+3*x-1 ogf] A193410 14.0240 [-(3*x-1)/(18*x^2-6*x+1) ogf] A193410 16.6084 [-3*(1-12*x+18*x^2)/(3*x-1)/(18*x^2-6*x+1) lgdogf] A193410 7.77234 [{-a(n+2)+6*a(n+1)-18*a(n),a(0)=1,a(1)=3} ogf] A193410 9.48682 [-(-54*x^2+36*x-3)/(-54*x^3+36*x^2-9*x+1) lgdogf] A193418 8.55250 [-(3-5*x+6*x^3-17*x^4+15*x^5+12*x^6+2*x^2)/(x-1)/(3*x-1)/(1+x)/(x^2+1)/(x^2+x-1) lgdogf] A193418 8.94586 [(x^2+x-1)/(x+1)/(3*x-1)/(x^2+1)/(x-1)^2 ogf] A193422 13.5770 [-2*(-2+3*x^3-7*x^2)/(x-1)/(1+x)/(x^5-x^4-2*x^3+4*x^2-3*x-1) lgdogf] A193422 7.74401 [x*(x^5-x^4-2*x^3+4*x^2-3*x-1)/(x+1)^2/(x-1)^3 ogf] A193426 8.19936 [-(2*x^8-x^7+x^6+x^4-x^3-x+1)/(-x^9-1) ogf_with_Euler_transform] A193427 19.1930 [-8/(-x^2+2*x-1) ogf_with_Euler_transform] A193437 24.1881 [1/(-x^3+1) lgdegf] A193437 36.9291 [-1/(x-1)/(x^2+x+1) lgdegf] A193437 5.55136 [{(n^3+3*n^2+2*n)*a(n)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=1} ogf] A193438 26.6729 [1/(-x^4+1) lgdegf] A193438 33.3695 [-1/(x-1)/(1+x)/(x^2+1) lgdegf] A193438 5.41190 [{(n+4)*a(n+4)-a(n+3)-n*a(n),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6} egf] A193446 2.97158 [{(n^3+15*n^2+75*n+125)*a(n+1)+(-3*n^2-33*n-91)*a(n+2)+(3*n+18)*a(n+3)-a(n+4),a(0)=2,a(1)=18,a(2)=142,a(3)=1160} ogf] A193448 12.2098 [-(x^2+18*x+11)/(x^3+7*x^2-7*x-1) lgdogf] A193448 12.9975 [-4*(x^2+8*x+1)/(x-1)^3 ogf] A193448 24.7185 [-(11+18*x+x^2)/(x-1)/(x^2+8*x+1) lgdogf] A193448 7.00735 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=44,a(2)=124} ogf] A193448 7.06882 [(7*f(x)-144)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+32*x+4) ogf] A193449 12.0776 [-(-24*x^2-12*x-6)/(-8*x^3-6*x^2+3*x+1) lgdogf] A193449 12.2634 [x*(4*x+1)/(2*x-1)^2/(x+1)^2 ogf] A193449 20.1724 [-6*(1+4*x^2+2*x)/(4*x+1)/(-1+2*x)/(1+x) lgdogf] A193449 4.19537 [{(-3-n)*a(n+4)-3*n*a(n+3)+(18+6*n)*a(n+2)+(24+8*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=15} ogf] A193449 5.90459 [-(1863*f(x)+1342)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x-4*x^2+f(x)-x) ogf] A193475 13.5486 [2*(8*x+1)/(16*x-1)/(4*x-1) ogf] A193475 14.1949 [-4*(-7+32*x+128*x^2)/(16*x-1)/(8*x+1)/(4*x-1) lgdogf] A193475 7.22593 [(27*f(x)+44)*(64*f(x)*x^2-20*f(x)*x+f(x)-16*x-2) ogf] A193475 7.65098 [{-a(n+2)+20*a(n+1)-64*a(n),a(0)=2,a(1)=56} ogf] A193475 8.90867 [-(512*x^2+128*x-28)/(512*x^3-96*x^2-12*x+1) lgdogf] A193476 8.74923 [-(64*f(x)*x^2-20*f(x)*x+f(x)-16*x-2)^2 ogf] A193519 10.6235 [3*f(x)*x^3+5*f(x)*x^2-5*f(x)*x-2*x^2+f(x) ogf] A193519 13.2385 [-(-9*x^2-10*x+5)/(-3*x^3-5*x^2+5*x-1) lgdogf] A193519 19.1223 [2*x^2/(3*x-1)/(x^2+2*x-1) ogf] A193519 23.7139 [-(-5+10*x+9*x^2)/(3*x-1)/(x^2+2*x-1) lgdogf] A193519 7.82276 [{-a(n+3)+5*a(n+2)-5*a(n+1)-3*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A193530 8.31756 [-(x^5+3*x^3-2*x^2-2*x+1)/(x-1)/(x^2+2*x-1)/(x^4+2*x^2-1) ogf] A193575 12.2643 [-3*(63+120*x+4*x^3+x^4+22*x^2)/(x-1)/(x^4+2*x^3+12*x^2+56*x+19) lgdogf] A193575 6.52458 [-x*(x^4+2*x^3+12*x^2+56*x+19)/(x-1)^7 ogf] A193575 7.38632 [-(3*x^4+12*x^3+66*x^2+360*x+189)/(x^5+x^4+10*x^3+44*x^2-37*x-19) lgdogf] A193576 10.6313 [-(-35-206*x-112*x^3+5*x^4+2*x^5-284*x^2)/(x-1)/(x^5-28*x^3-40*x^2-21*x-2) lgdogf] A193576 6.80878 [(x^5-28*x^3-40*x^2-21*x-2)/(x-1)^7 ogf] A193577 11.9253 [{a(n+1)-7*a(n),a(0)=5} ogf] A193577 15.1248 [-7*f(x)*x+f(x)-5 ogf] A193577 22.1470 [7/(-7*x+1) lgdogf] A193577 24.8046 [-5/(7*x-1) ogf] A193577 55.2848 [-7/(-1+7*x) lgdogf] A193578 10.2283 [-(-91*x^2+26*x-7)/(-91*x^3+111*x^2-21*x+1) lgdogf] A193578 15.2336 [-(7*x-1)/(13*x-1)/(x-1) ogf] A193578 17.5999 [-(7-26*x+91*x^2)/(x-1)/(13*x-1)/(-1+7*x) lgdogf] A193578 7.69871 [-(72*f(x)-23)*(13*f(x)*x^2-14*f(x)*x+f(x)+7*x-1) ogf] A193578 8.52356 [{a(n+2)-14*a(n+1)+13*a(n),a(0)=1,a(1)=7} ogf] A193579 11.6158 [-(-40*x^2+24*x-5)/(-40*x^3+62*x^2-25*x+3) lgdogf] A193579 17.4238 [-3*(10*x-3)/(4*x-1)/(x-1) ogf] A193579 20.2169 [-(5-24*x+40*x^2)/(x-1)/(4*x-1)/(10*x-3) lgdogf] A193579 8.8076 [-(f(x)+66)*(4*f(x)*x^2-5*f(x)*x+f(x)+30*x-9) ogf] A193579 9.65654 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=9,a(1)=15} ogf] A193581 8.06194 [-9*x^10/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A193608 16.2901 [-2*(-26+5*x+x^3-4*x^2)/(x-1)/(x-3)/(2*x^2-x+5) lgdogf] A193608 3.91741 [{(109*n^2+755*n+1074)*a(n+1)+(-146*n^2-679*n-618)*a(n+2)+(37*n^2+140*n+87)*a(n+3),a(0)=15,a(1)=52,a(2)=125} ogf] A193608 5.26823 [(4272*f(x)+57827)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-7*x^2+f(x)+8*x-15) ogf] A193608 8.98699 [-(-2*x^3+8*x^2-10*x+52)/(-2*x^4+9*x^3-15*x^2+23*x-15) lgdogf] A193608 9.79351 [-(x-3)*(2*x^2-x+5)/(x-1)^4 ogf] A193641 12.9631 [-(x^2+x+1)/(x^3+2*x-1) ogf] A193641 15.3054 [-(3+2*x+2*x^3+x^4+x^2)/(x^2+x+1)/(x^3+2*x-1) lgdogf] A193641 7.01063 [-(11*f(x)+5)*(f(x)*x^3+2*f(x)*x+x^2-f(x)+x+1) ogf] A193641 7.15669 [-(-x^4-2*x^3-x^2-2*x-3)/(-x^5-x^4-3*x^3-x^2-x+1) lgdogf] A193641 7.30896 [{-a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A193642 10.4152 [-(x^2+3*x+1)/(x^3+2*x^2+2*x-1) ogf] A193642 11.5240 [-(5+6*x+6*x^3+x^4+7*x^2)/(x^2+3*x+1)/(x^3+2*x^2+2*x-1) lgdogf] A193642 5.43016 [-(11*f(x)+13)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x+x^2-f(x)+3*x+1) ogf] A193642 5.62239 [{-a(n+3)+2*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A193642 6.61802 [-(x^4+6*x^3+7*x^2+6*x+5)/(x^5+5*x^4+9*x^3+7*x^2-x-1) lgdogf] A193643 10.7120 [-(x^2+5*x+1)/(x+1)/(x^2+3*x-1) ogf] A193643 11.2378 [-(7+10*x+10*x^3+x^4+21*x^2)/(1+x)/(x^2+5*x+1)/(x^2+3*x-1) lgdogf] A193643 5.68202 [(175*f(x)-103)*(f(x)*x^3+4*f(x)*x^2+2*f(x)*x+x^2-f(x)+5*x+1) ogf] A193643 5.78259 [{-a(n+3)+2*a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=19} ogf] A193643 6.46963 [-(-x^4-10*x^3-21*x^2-10*x-7)/(-x^5-9*x^4-23*x^3-13*x^2+3*x+1) lgdogf] A193644 10.5761 [-(x^2+7*x+1)/(x^3+6*x^2+2*x-1) ogf] A193644 11.0953 [-(9+14*x+14*x^3+x^4+43*x^2)/(x^2+7*x+1)/(x^3+6*x^2+2*x-1) lgdogf] A193644 5.56159 [(1193*f(x)-313)*(f(x)*x^3+6*f(x)*x^2+2*f(x)*x+x^2-f(x)+7*x+1) ogf] A193644 5.70924 [{-a(n+3)+2*a(n+2)+6*a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=25} ogf] A193645 10.2803 [-(x^2+9*x+1)/(x^3+8*x^2+2*x-1) ogf] A193645 10.5958 [-(11+18*x+18*x^3+x^4+73*x^2)/(x^2+9*x+1)/(x^3+8*x^2+2*x-1) lgdogf] A193645 5.40602 [(4051*f(x)-691)*(f(x)*x^3+8*f(x)*x^2+2*f(x)*x+x^2-f(x)+9*x+1) ogf] A193645 5.50086 [{a(n+3)-2*a(n+2)-8*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=31} ogf] A193646 4.94567 [(10141*f(x)-1285)*(f(x)*x^3+10*f(x)*x^2+2*f(x)*x+x^2-f(x)+11*x+1) ogf] A193646 5.16070 [{a(n+3)-2*a(n+2)-10*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=37} ogf] A193646 9.42032 [-(x^2+11*x+1)/(x^3+10*x^2+2*x-1) ogf] A193646 9.52648 [-(13+22*x+22*x^3+x^4+111*x^2)/(x^2+11*x+1)/(x^3+10*x^2+2*x-1) lgdogf] A193647 5.1775 [(21239*f(x)-2143)*(f(x)*x^3+12*f(x)*x^2+2*f(x)*x+x^2-f(x)+13*x+1) ogf] A193647 5.40260 [{a(n+3)-2*a(n+2)-12*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=43} ogf] A193647 9.86189 [-(x^2+13*x+1)/(x^3+12*x^2+2*x-1) ogf] A193647 9.98254 [-(15+26*x+26*x^3+x^4+157*x^2)/(x^2+13*x+1)/(x^3+12*x^2+2*x-1) lgdogf] A193649 4.25451 [-(3*f(x)+2)*(4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A193649 4.36848 [{a(n+3)-2*a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A193649 7.93990 [-(1+2*x+8*x^3+8*x^4-11*x^2)/(x-1)/(-1+2*x)/(1+x)/(4*x^2+x-1) lgdogf] A193649 8.02082 [-(2*x-1)*(x+1)/(x-1)/(4*x^2+x-1) ogf] A193652 13.1723 [-x*(2*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A193652 8.11625 [(44*f(x)+35)*(4*f(x)*x^4-5*f(x)*x^2+2*x^3-2*x^2+f(x)-x) ogf] A193653 12.3189 [-(x^2+2*x-1)/(x-1)/(2*x^2+3*x-1) ogf] A193653 12.7288 [-2*(1+x)*(x^3+3*x^2-3*x+1)/(x-1)/(2*x^2+3*x-1)/(x^2+2*x-1) lgdogf] A193653 6.70939 [{a(n+3)-4*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A193653 6.76983 [(2*f(x)-3)*(2*f(x)*x^3+f(x)*x^2-4*f(x)*x+x^2+f(x)+2*x-1) ogf] A193653 8.53923 [-(2*x^4+8*x^3-4*x+2)/(2*x^5+5*x^4-4*x^3-8*x^2+6*x-1) lgdogf] A193654 3.16878 [-(8*x^5-4*x^3-4*x^2+2*x+1)/(x+1)/(2*x+1)/(x-1)^2/(2*x-1)^3 ogf] A193655 3.58337 [-(4*x^5+8*x^4-9*x^3-3*x^2+2*x+1)/(x+1)/(2*x+1)/(x-1)^2/(2*x-1)^3 ogf] A193656 12.5752 [-(2*x-1)/(5*x-1)/(4*x-1) ogf] A193656 13.8117 [-(7-40*x+40*x^2)/(4*x-1)/(-1+2*x)/(5*x-1) lgdogf] A193656 6.5734 [(23*f(x)+26)*(20*f(x)*x^2-9*f(x)*x+f(x)+2*x-1) ogf] A193656 6.96939 [{-a(n+2)+9*a(n+1)-20*a(n),a(0)=1,a(1)=7} ogf] A193656 8.38346 [-(-40*x^2+40*x-7)/(-40*x^3+38*x^2-11*x+1) lgdogf] A193661 5.09958 [-(2*f(x)-11)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+13*x^2-f(x)-8*x+1) ogf] A193661 5.27542 [{-a(n+3)+11*a(n+2)-31*a(n+1)+21*a(n),a(0)=1,a(1)=3,a(2)=15} ogf] A193661 8.56815 [-3*(1-12*x-112*x^3+91*x^4+56*x^2)/(x-1)/(3*x-1)/(7*x-1)/(13*x^2-8*x+1) lgdogf] A193661 9.41460 [-(13*x^2-8*x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A193662 2.52022 [-(-67+272*f(x))*(4*f(x)*x^3-3*f(x)*x^2-2*x^3-2*f(x)*x+3*x^2+f(x)+3*x-2) ogf] A193662 4.60213 [(x-2)*(2*x-1)*(x+1)/(x-1)/(4*x^2+x-1) ogf] A193663 3.29116 [{-a(n+4)+2*a(n+3)+6*a(n+2)-7*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=9} ogf] A193663 3.3627 [-(27*f(x)-5)*(f(x)*x^4+7*f(x)*x^3-6*f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)-x) ogf] A193663 6.35689 [x*(x^2-x+1)/(x^4+7*x^3-6*x^2-2*x+1) ogf] A193663 6.49494 [-(-1-14*x-10*x^3+4*x^4+2*x^5+29*x^2)/(x^2-x+1)/(x^4+7*x^3-6*x^2-2*x+1) lgdogf] A193665 3.55643 [{(-n^2-7*n-12)*a(n+1)+(n^3+11*n^2+38*n+40)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=6,a(2)=33} ogf] A193668 3.47240 [{n^2*a(n)+(-2*n^2-8*n-3)*a(n+1)+(n^2+9*n+15)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A193669 10.3824 [-(1-4*x^3+3*x^4-8*x^7+4*x^11)/(x-1)/(1+x)/(1+x^2)/(x^2-x+1)/(x^6+x^5-x^3-x^2+1) lgdogf] A193669 14.4187 [-(x-1)*(x+1)*(x^2+1)/(x^2-x+1)/(x^6+x^5-x^3-x^2+1) ogf] A193680 11.2864 [-x*(x^4+2*x^3+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A193680 8.94962 [-2*(1+2*x^3+3*x^5+5*x^6+x^9+3*x^2+3*x^8)/(x-1)/(1+x)/(x^2+x+1)/(x^2-x+1)/(x^4+2*x^3+2*x+1) lgdogf] A193682 10.7286 [-x*(x^6+2*x^5+3*x^4+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A193683 23.7967 [3-exp(x) lgdegf] A193683 85.7027 [3-exp(x) lgdegf] A193684 25.2912 [4-exp(x) lgdegf] A193684 91.7381 [4-exp(x) lgdegf] A193690 10.2542 [(x^2+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1) ogf] A193690 16.4169 [-2*(x-1)*(x^4+x^3+3*x^2+x+1)/(1+x)/(1+x^2)/(x^2+x+1)/(x^2-x+1) lgdogf] A193690 20.1848 [[x^5-x^3-2*x+2] ogf_with_Euler_transform] A193690 8.60406 [f(x)*x^4-x^4+f(x)*x^2-2*x^3-2*x^2+f(x)-2*x-1 ogf] A193695 8.39845 [-(x^4+2*x^3+2*x^2+x+1)/(x^5+x^4+x^2+2*x-1) ogf] A193695 8.97947 [-(3+6*x+6*x^5+8*x^6+3*x^2+4*x^7+x^8)/(x^4+2*x^3+2*x^2+x+1)/(x^5+x^4+x^2+2*x-1) lgdogf] A193703 5.95239 [-(4*x^4-x^3+3*x^2-x+1)*(x+1)^2/(4*x^7+3*x^6-x^4+2*x^3+x^2+2*x-1) ogf] A193744 15.8059 [-(x^2-3)/(x-1)/(x^3+x^2-1) ogf] A193744 17.3634 [-(3+4*x-12*x^3+2*x^5+x^2)/(x-1)/(x^3+x^2-1)/(x^2-3) lgdogf] A193744 7.76668 [-(253*f(x)+3402)*(f(x)*x^4-f(x)*x^2-f(x)*x+x^2+f(x)-3) ogf] A193744 9.28799 [-(2*x^5-12*x^3+x^2+4*x+3)/(x^6-4*x^4-x^3+4*x^2+3*x-3) lgdogf] A193764 4.63082 [(x^18-2*x^17+x^16-x^13+2*x^12-3*x^11+2*x^10+x^9-2*x^8+2*x^6-x^5-2*x^4-2*x^2-2*x-2)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A193765 4.84621 [(x^18-2*x^17+x^16-x^13+2*x^12-3*x^11+2*x^10+x^9-2*x^8+x^6-2*x^4-2*x^2-x-3)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A193766 10.6242 [(x^4+2*x^3+2*x^2+2*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A193766 9.00696 [-(4+8*x+20*x^3+13*x^4+9*x^5+5*x^6+12*x^2+x^7)/(x-1)/(1+x)/(x^2+1)/(x^4+2*x^3+2*x^2+2*x+2) lgdogf] A193767 7.52492 [-(x^10-2*x^9+x^8+x^7-x^6-x^5+2*x^4-x^3-x-2)/(x-1)^2 ogf] A193768 7.49199 [(x^10-2*x^9+x^8+x^7-x^6-x^5+2*x^4-x^3-x+2)/(x-1)^2 ogf] A193771 12.2398 [-(6*x^5-3*x^2-1)/(x^6-x^3-x+1) lgdogf] A193771 22.4948 [1/(x-1)/(x^2+1)/(x^3+x^2-1) ogf] A193779 7.71309 [-(-x^13-x^12-x^10-x^7-x^6-x^3-x-1)/(x^15-1) ogf_with_Euler_transform] A193828 10.5130 [-(6-2*x+26*x^3-14*x^4+12*x^5+3*x^6+5*x^2)/(x-1)/(x^2+4*x+1)/(x^2-x+1)/(x^2+1) lgdogf] A193828 7.26703 [-2*x*(x^2+4*x+1)*(x^2-x+1)/(x^2+1)^2/(x-1)^3 ogf] A193832 8.53282 [-(-x^5-2*x^4-x^3-x^2-2*x-2)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A193863 12.5863 [-(2*x^4-x^3-x+2)/(-x^6-x^4-x^2-1) ogf_with_Euler_transform] A193866 12.6784 [-(11+59*x+37*x^3+2*x^4+35*x^2)/(x-1)/(1+x)/(x^3+12*x^2+5*x+6) lgdogf] A193866 7.77100 [-(-2*x^4-37*x^3-35*x^2-59*x-11)/(-x^5-12*x^4-4*x^3+6*x^2+5*x+6) lgdogf] A193866 8.72079 [-x*(x^3+12*x^2+5*x+6)/(x+1)^2/(x-1)^3 ogf] A193867 11.7838 [-(7+15*x+16*x^3+13*x^4+x^5+44*x^2)/(x-1)/(1+x)/(x^2+1)/(x^2+6*x+1) lgdogf] A193867 8.52829 [-(x^2+1)*(x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A193868 12.0243 [-(2+14*x+17*x^3+3*x^4+x^5+11*x^2)/(x-1)/(1+x)/(x^4+x^3+4*x^2+x+1) lgdogf] A193868 8.56969 [-2*(x^4+x^3+4*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A193872 13.4066 [-4*x*(7*x+3)/(x-1)^3 ogf] A193872 15.8198 [-(-14*x-16)/(-7*x^2+4*x+3) lgdogf] A193872 32.4937 [-2*(8+7*x)/(7*x+3)/(x-1) lgdogf] A193872 6.48353 [-(11175*f(x)-142753)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)+12*x) ogf] A193872 6.99991 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=64} ogf] A193879 5.57131 [x*(3*x^12+x^11+3*x^10+x^9+12*x^8+x^7+3*x^6+x^5+3*x^4+2*x^3+2*x^2+2*x+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A193884 14.3937 [-(x-1)*(x+1)/(x^4-x+1) ogf] A193884 17.5974 [-(1-2*x-4*x^3+2*x^5+x^2)/(x-1)/(1+x)/(x^4-x+1) lgdogf] A193884 7.58377 [-(f(x)+4)*(f(x)*x^4-f(x)*x+x^2+f(x)-1) ogf] A193885 11.4477 [-(1-2*x-2*x^3+5*x^4-4*x^5+x^6)/(x-1)/(x^2-x+1)/(x^4-x^3+3*x^2-3*x+1) lgdogf] A193885 5.1855 [-(f(x)-3)*(f(x)*x^4-f(x)*x^3+3*f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A193885 9.49553 [-(x-1)*(x^2-x+1)/(x^4-x^3+3*x^2-3*x+1) ogf] A193910 13.3958 [(3*x^2+4*x+2)/(x+1)/(x-1)^2 ogf] A193910 16.6884 [-(6+16*x+3*x^3+11*x^2)/(x-1)/(1+x)/(3*x^2+4*x+2) lgdogf] A193910 6.98416 [(1467*f(x)-2531)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-4*x-2) ogf] A193910 7.23138 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=6,a(2)=11} ogf] A193910 9.96520 [-(3*x^3+11*x^2+16*x+6)/(3*x^4+4*x^3-x^2-4*x-2) lgdogf] A193911 12.6229 [-(2*x^2-2*x-3)*(4*x^3+x^2-2*x-1)/(x-1)/(1+x)/(2*x^2-1)/(x^2-x-1) lgdogf] A193911 9.67788 [-(x^2-x-1)/(x+1)/(2*x^2-1)/(x-1)^3 ogf] A193912 11.8900 [-(4+10*x-23*x^3-6*x^4+10*x^5-3*x^2)/(x-1)/(1+x)/(2*x^2-1)/(x^2-x-1) lgdogf] A193912 9.54333 [(x^2-x-1)/(x+1)/(2*x^2-1)/(x-1)^4 ogf] A193913 4.20209 [f(x)^2*x^4-13*f(x)^2*x^3+44*f(x)^2*x^2+4*f(x)*x^3-13*f(x)^2*x-26*f(x)*x^2+f(x)^2+16*f(x)*x+3*x^2-2*f(x)-3*x+1 ogf] A193930 19.0614 [4*x^3+3*x^2+2*x+1 lgdegf] A193930 35.2806 [1+2*x+3*x^2+4*x^3 lgdegf] A193931 16.0172 [5*x^4+4*x^3+3*x^2+2*x+1 lgdegf] A193931 26.7388 [1+2*x+3*x^2+4*x^3+5*x^4 lgdegf] A193932 13.7313 [6*x^5+5*x^4+4*x^3+3*x^2+2*x+1 lgdegf] A193932 21.5216 [1+2*x+3*x^2+4*x^3+5*x^4+6*x^5 lgdegf] A193933 12.0550 [7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1 lgdegf] A193933 18.0062 [1+2*x+3*x^2+4*x^3+5*x^4+6*x^5+7*x^6 lgdegf] A193936 5.14909 [(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A193937 4.1227 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 egf] A193941 14.6339 [-(1-2*x^3+6*x^5+3*x^2+3*x^8)/(1+x)/(x^2-x+1)/(x^6+x-1) lgdogf] A193941 16.4464 [-(x+1)*(x^2-x+1)/(x^6+x-1) ogf] A193941 8.05876 [-(-3*x^8-6*x^5+2*x^3-3*x^2-1)/(-x^9-x^6-x^4+x^3-x+1) lgdogf] A193942 16.7700 [-(x^4+1)/(x^8+x-1) ogf] A193942 17.1441 [-(1+4*x^3-3*x^4+4*x^11+8*x^7)/(x^8+x-1)/(1+x^4) lgdogf] A193942 8.05618 [-(4*x^11+8*x^7-3*x^4+4*x^3+1)/(x^12+x^8+x^5-x^4+x-1) lgdogf] A193981 13.1596 [-(23+116*x+102*x^3+179*x^2)/(x-1)/(1+x)/(17*x^2+11*x+2) lgdogf] A193981 3.86848 [{(n^3+6*n^2+10*n+8)*a(n+1)+(6*n^2+9*n+8)*a(n+2)+(-n^3-n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A193981 6.79695 [-x^3*(17*x^2+11*x+2)/(x+1)/(x-1)^7 ogf] A193981 7.99202 [-(102*x^3+179*x^2+116*x+23)/(17*x^4+11*x^3-15*x^2-11*x-2) lgdogf] A193982 4.17513 [-x^5*(151*x^4+279*x^3+267*x^2+125*x+18)/(x+1)^3/(x-1)^9 ogf] A193982 7.29841 [-(233+1500*x+4948*x^3+3417*x^4+1208*x^5+3814*x^2)/(x-1)/(1+x)/(151*x^4+279*x^3+267*x^2+125*x+18) lgdogf] A193989 11.6582 [(-2-24*x^23+47*x^24+25*x^27-23*x^25-27*x^26)/(x-1)/(x^27-x^25+x^24+1) lgdogf] A193989 12.0760 [(x^27-x^25+x^24+1)/(x-1)^2 ogf] A194006 12.1781 [-4*exp(2*x)+3*exp(3*x)+2*exp(x) lgdegf] A194006 21.6063 [-4*exp(2*x)+3*exp(3*x)+2*exp(x) lgdegf] A194019 18.6048 [-(x^2+x+1)/(x-1) lgdegf] A194019 4.72504 [{(n^2+5*n+6)*a(n+1)+(n+3)*a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=13} ogf] A194019 55.0200 [-(1+x+x^2)/(x-1) lgdegf] A194021 4.08401 [-x^2*(x^7+6*x^6+7*x^5+11*x^4+13*x^3+4*x^2+5*x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^7 ogf] A194069 7.41027 [-(x^4-x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A194069 9.62629 [-(1+x)*(x^5-x^4+7*x^3+3*x^2+5*x+3)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x^2+x+1) lgdogf] A194073 11.1678 [-(x^3-x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A194073 16.4133 [-(4+6*x+x^4+7*x^2)/(x-1)/(1+x)/(x^3-x^2+2*x+1) lgdogf] A194073 6.36843 [(34*f(x)-49)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-x^2-f(x)+2*x+1) ogf] A194073 8.75659 [-(-x^4-7*x^2-6*x-4)/(-x^5+x^4-x^3-2*x^2+2*x+1) lgdogf] A194082 4.69857 [-x*(x^14+x^12+x^11+x^10+x^9+x^8+x^7+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^3 ogf] A194130 4.39998 [{(-n-5)*a(n+1)+(n+2)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=4} egf] A194130 7.44884 [-2*(1+x+7*x^3+2*x^4+3*x^5+x^6+6*x^2)/(x-1)/(x^2+x+1)/(x^4+2*x^3+x^2+2*x+1) lgdegf] A194130 7.71503 [(x^4+2*x^3+x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 egf] A194142 4.43145 [-(2*x^14+x^13+x^12+2*x^11+x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^3 ogf] A194197 5.76318 [(3331*x^5+161052*x^4+578757*x^3+317007*x^2+19852*x+1)/(x-1)^6 ogf] A194220 12.5145 [x^2*(x^4+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A194221 9.35543 [-x^2*(x^4+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A194222 13.7453 [-(2+2*x+2*x^3+7*x^4+5*x^5+2*x^2)/(x-1)/(1+x)/(x^4+x^3+x^2+x+1) lgdogf] A194222 14.1117 [(x+1)*x^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194222 29.5894 [[x^4-x+2] ogf_with_Euler_transform] A194222 9.78198 [-(5*x^5+7*x^4+2*x^3+2*x^2+2*x+2)/(x^6+x^5-x-1) lgdogf] A194223 9.83089 [x^2*(x^8+x^7+x^5+x^2+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A194224 7.70105 [-x^2*(x^8+x^7+x^5+x^2+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^3 ogf] A194225 12.3508 [x^3*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194225 25.7428 [[x^6-x^2+2] ogf_with_Euler_transform] A194225 9.11722 [-(2+4*x+3*x^3+3*x^4+3*x^5+10*x^6+3*x^2+8*x^7+6*x^8)/(x-1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A194226 24.2741 [[x^6-x^2+3] ogf_with_Euler_transform] A194226 8.51621 [-(3+6*x+6*x^3+6*x^4+6*x^5+13*x^6+6*x^2+10*x^7+7*x^8)/(x-1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) lgdogf] A194226 9.46549 [-x^3*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A194227 12.4756 [x^2*(x^3+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194228 9.60819 [-x^2*(x^3+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A194229 10.1326 [-x*(x^2+x+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A194229 24.7620 [x^6-x^5+x+2 ogf_with_Euler_transform] A194235 8.04499 [x^3*(x^11+x^10+x^9+x^7+x^3+x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A194236 6.48844 [-x^3*(x^11+x^10+x^9+x^7+x^3+x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^3 ogf] A194237 8.52375 [x*(x^13+x^11+x^10+x^8+x^5+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A194238 6.89697 [-x*(x^13+x^11+x^10+x^8+x^5+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^3 ogf] A194268 11.6155 [-(2*x^2+30*x+16)/(2*x^3+11*x^2-12*x-1) lgdogf] A194268 12.7395 [-(2*x^2+13*x+1)/(x-1)^3 ogf] A194268 21.5224 [-2*(8+15*x+x^2)/(x-1)/(2*x^2+13*x+1) lgdogf] A194268 6.42156 [(606976*f(x)-4824991)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+13*x+1) ogf] A194268 6.92853 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=47} ogf] A194272 12.6413 [-(5*x^3-3*x^2+2)/(x^4-x^3+x-1) lgdogf] A194272 16.2191 [1/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A194272 22.1712 [-(2+5*x^3-3*x^2)/(x-1)/(1+x)/(x^2-x+1) lgdogf] A194272 29.5448 [x^5-x^2+2 ogf_with_Euler_transform] A194273 11.9577 [-(-6*x^3+3*x^2-3)/(-x^4+x^3-x+1) lgdogf] A194273 13.3299 [-x/(x+1)/(x^2-x+1)/(x-1)^3 ogf] A194273 20.5396 [-3*(-x^2+1+2*x^3)/(x-1)/(1+x)/(x^2-x+1) lgdogf] A194273 27.9131 [x^5-x^2+3 ogf_with_Euler_transform] A194274 11.1494 [-x*(x+1)/(x^2+1)/(x-1)^3 ogf] A194274 14.5341 [-(-4*x^3-4*x^2-4)/(-x^4+1) lgdogf] A194274 23.5882 [-4*(1+x^2+x^3)/(x-1)/(1+x)/(x^2+1) lgdogf] A194274 27.9312 [[x^3-2*x+4] ogf_with_Euler_transform] A194275 10.0966 [-x*(x^2+3*x+1)/(x^2+x+1)/(x-1)^3 ogf] A194275 14.1408 [-(5+10*x+14*x^3+3*x^4+13*x^2)/(x-1)/(x^2+x+1)/(x^2+3*x+1) lgdogf] A194275 8.26082 [-(3*x^4+14*x^3+13*x^2+10*x+5)/(x^5+3*x^4+x^3-x^2-3*x-1) lgdogf] A194349 5.65549 [-2*f(x)^2*x^4+3*f(x)^2*x^2-4*f(x)*x^3-f(x)^2+4*f(x)*x-2*x^2+1 egf] A194350 10.6960 [-(5*x^3+2*x^2+x+1)/(10*x^4-1) ogf] A194350 7.21357 [(80*f(x)-59)*(10*f(x)*x^4+5*x^3+2*x^2-f(x)+x+1) ogf] A194350 8.42367 [-(1+4*x+40*x^3+30*x^4+40*x^5+50*x^6+15*x^2)/(5*x^3+2*x^2+x+1)/(10*x^4-1) lgdogf] A194353 27.2961 [1/(1-4*x)^(1/2) ogf_with_Euler_transform] A194372 6.51959 [2*(x+1)*(x^9+x^8+x^7+x^6+x^4+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194374 3.58549 [4*(14*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194379 5.82083 [2*(x^11+x^10+x^9+3*x^8+x^7+x^6+x^5+x^4+6*x^3+x^2+6*x+1)/(x+1)/(x^4-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A194385 3.60807 [6*(32*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194386 5.81830 [-(x^31-x^30+x^26-x^25+x^21-x^20+x^16-x^15+x^11-x^10+x^6-x^5-1)/(x-1)^2 ogf] A194388 7.46243 [2*(2*x^8+x^7+x^6+2*x^5+x^4+x^3+5*x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A194390 6.75401 [2*(8*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194391 7.54284 [(x+1)*(x^14-x^13+x^12-x^11+x^10-x^9+x^8+1)/(x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^2 ogf] A194408 9.50833 [(13-11*x+12*x^3-21*x^4+9*x^5-17*x^9+9*x^8+8*x^10)/(x-1)/(x^10-x^9+3*x^5-3*x^4+5*x^2+x-7) lgdogf] A194408 9.92502 [-(x^10-x^9+3*x^5-3*x^4+5*x^2+x-7)/(x-1)^2 ogf] A194431 11.6708 [-(-x^2+30*x+19)/(-x^3+17*x^2-15*x-1) lgdogf] A194431 12.8002 [(x^2-16*x-1)/(x-1)^3 ogf] A194431 22.8991 [-(-19-30*x+x^2)/(x-1)/(x^2-16*x-1) lgdogf] A194431 6.55879 [(22880*f(x)-243761)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+16*x+1) ogf] A194431 6.96152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=19,a(2)=53} ogf] A194454 11.0869 [-(11*x^2+46*x+15)/(11*x^3+x^2-11*x-1) lgdogf] A194454 12.1428 [-(x+1)*(11*x+1)/(x-1)^3 ogf] A194454 19.7406 [-(15+46*x+11*x^2)/(x-1)/(11*x+1)/(1+x) lgdogf] A194454 6.37497 [(9288*f(x)-76225)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+12*x+1) ogf] A194454 6.71048 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=53} ogf] A194455 11.5903 [(3*x^2+2*x-2)/(2*x-1)/(x-1)^2 ogf] A194455 13.3298 [-2*(3-10*x+3*x^3+7*x^2)/(x-1)/(-1+2*x)/(3*x^2+2*x-2) lgdogf] A194455 6.14791 [(69*f(x)-2309)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-3*x^2-f(x)-2*x+2) ogf] A194455 6.25673 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=6,a(2)=11} ogf] A194455 8.62209 [-(6*x^3+14*x^2-20*x+6)/(6*x^4-5*x^3-7*x^2+8*x-2) lgdogf] A194460 3.44904 [{(-16*n^2-72*n-80)*a(n+1)+(8*n^2+38*n+36)*a(n+2)+(-n^2-5*n-4)*a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A194460 3.67354 [64*f(x)^2*x^4-48*f(x)^2*x^3+12*f(x)^2*x^2+64*f(x)*x^3-f(x)^2*x-64*f(x)*x^2+20*f(x)*x+16*x^2-2*f(x)-11*x+2 ogf] A194475 13.4058 [-(-17-74*x+12*x^3-26*x^2)/(x-1)/(3*x^3-7*x^2-10*x-1) lgdogf] A194475 3.62770 [{(-40*n^2+54*n+856)*a(n+1)+(473*n^2+3987*n+10042)*a(n+2)+(-433*n^2-1683*n-1634)*a(n+3),a(0)=0,a(1)=1,a(2)=17} ogf] A194475 6.43093 [x*(3*x^3-7*x^2-10*x-1)/(x-1)^7 ogf] A194475 8.32238 [-(-12*x^3+26*x^2+74*x+17)/(-3*x^4+10*x^3+3*x^2-9*x-1) lgdogf] A194476 10.7143 [-(-38-206*x+58*x^3+5*x^4-134*x^2)/(x-1)/(x^4+9*x^3-23*x^2-20*x-2) lgdogf] A194476 4.88260 [3*x^2*(x^4+9*x^3-23*x^2-20*x-2)/(x-1)^9 ogf] A194476 6.76052 [-(5*x^4+58*x^3-134*x^2-206*x-38)/(x^5+8*x^4-32*x^3+3*x^2+18*x+2) lgdogf] A194477 3.76883 [-3*x^3*(9*x^5-51*x^4-54*x^3+238*x^2+160*x+13)/(x-1)^11 ogf] A194477 7.71084 [-3*(101+692*x-212*x^3-104*x^4+18*x^5+660*x^2)/(x-1)/(9*x^5-51*x^4-54*x^3+238*x^2+160*x+13) lgdogf] A194481 11.3402 [-(69+208*x-14*x^3+5*x^4+47*x^2)/(x-1)/(x^4-3*x^3+8*x^2+24*x+5) lgdogf] A194481 4.92888 [-3*x^2*(x^4-3*x^3+8*x^2+24*x+5)/(x-1)^9 ogf] A194481 6.82461 [-(5*x^4-14*x^3+47*x^2+208*x+69)/(x^5-4*x^4+11*x^3+16*x^2-19*x-5) lgdogf] A194482 3.48852 [-3*x^2*(x^6+11*x^5-31*x^4+85*x^3+191*x^2+56*x+2)/(x-1)^11 ogf] A194482 6.80279 [-(78+942*x+556*x^3-162*x^4+72*x^5+5*x^6+1974*x^2)/(x-1)/(x^6+11*x^5-31*x^4+85*x^3+191*x^2+56*x+2) lgdogf] A194486 12.6723 [-(-13+4*x+4*x^3+2*x^4-12*x^2)/(x-1)/(2*x^4-2*x^3-2*x^2+2*x-3) lgdogf] A194486 7.91921 [x*(2*x^4-2*x^3-2*x^2+2*x-3)/(x-1)^5 ogf] A194486 8.71113 [-(-2*x^4-4*x^3+12*x^2-4*x+13)/(-2*x^5+4*x^4-4*x^2+5*x-3) lgdogf] A194487 4.27155 [-x*(4*x^9-12*x^8+22*x^7-40*x^6+50*x^5-50*x^4+36*x^3-x^2+5*x+1)/(x-1)^7 ogf] A194493 4.80187 [-2*x^4*(18*x^5+40*x^4+51*x^3+42*x^2+23*x+6)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A194508 11.4460 [-(x^4-2*x^3+x^2-2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194508 9.13476 [-(-1+x+2*x^3+4*x^4-10*x^5+3*x^6-6*x^2-5*x^7+2*x^8)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-2*x^3+x^2-2*x+1) lgdogf] A194509 10.3873 [-2*x*(1+2*x^2+3*x^3-2*x^4+2*x^5-x-x^6+x^7)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) lgdogf] A194509 11.4460 [(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194509 30.3066 [-x^9+2*x^4+x ogf_with_Euler_transform] A194510 9.82126 [-(2*x^6-3*x^5+2*x^4-3*x^3+2*x^2+2*x-3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194511 9.55646 [(x^3-x^2+1)*(x^3+x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194512 8.50919 [-(3*x^8-4*x^7+3*x^6-4*x^5+3*x^4+3*x^3-4*x^2+3*x-4)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A194513 8.27606 [(x^8-x^7+x^6-x^5+x^4+x^3-x^2+x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A194514 10.0403 [-(x^6-3*x^5+x^4+x^3+x^2-3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194515 9.70126 [(x^6-2*x^5+x^4+x^3+x^2-2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194516 9.55864 [(2*x^7-3*x^6+2*x^5-3*x^4+2*x^3+2*x^2-3*x+2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A194517 9.17654 [-(x^3+x-1)*(x^4-2*x^3+x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A194518 7.61782 [-(2*x^9+2*x^8-5*x^7+2*x^6+2*x^5-5*x^4+2*x^3+2*x^2-5*x+2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A194519 7.77848 [(x^9+x^8-2*x^7+x^6+x^5-2*x^4+x^3+x^2-2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A194520 6.76629 [-(3*x^10-x^9-3*x^8+5*x^7-3*x^6-3*x^5+5*x^4-3*x^3-3*x^2+5*x-3)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194521 6.81087 [(2*x^10-x^9-x^8-2*x^7+3*x^6-x^5+2*x^4-x^3-x^2+2*x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194522 8.42330 [-(x^8+x^7-4*x^6+x^5+x^4+x^3-4*x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A194523 8.54778 [(x^2-x+1)*(x^6+2*x^5-2*x^4-3*x^3+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A194524 7.00870 [(2*x^10-5*x^9+2*x^8+2*x^7+2*x^6-5*x^5+2*x^4+2*x^3-5*x^2+2*x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194525 6.48020 [-(x^10-3*x^9+x^8+x^7+x^6-3*x^5+x^4+x^3-3*x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194526 6.43007 [(2*x^11-3*x^10-x^9+5*x^8-x^7-x^6-x^5-x^4-x^3+5*x^2-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194527 6.85734 [-(x^11-2*x^10-x^9+4*x^8-x^7-x^6-x^5-x^4-x^3+4*x^2-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194585 4.44105 [(22304702690034765*f(x)+697382482405987775662)*(f(x)*x^3-f(x)*x^2-f(x)*x-2200*x^2+f(x)-25646*x-2184) ogf] A194585 5.66867 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2184,a(1)=27830,a(2)=32214} ogf] A194585 9.62875 [-(13915+18299*x+1100*x^3+26746*x^2)/(x-1)/(1+x)/(1100*x^2+12823*x+1092) lgdogf] A194585 9.82037 [2*(1100*x^2+12823*x+1092)/(x+1)/(x-1)^2 ogf] A194589 5.23164 [3*f(x)^2*x^4+8*f(x)^2*x^3+6*f(x)^2*x^2+3*f(x)*x^3+5*f(x)*x^2-f(x)^2+f(x)*x+x^2-f(x) ogf] A194589 7.08651 [I/x/(3*x-1)^(1/2)/(x+1)^(1/2)-(9*x^2+2*x-1)/(3*x-1)/(x+1)/x lgdogf] A194590 3.74626 [{(8*n+24)*a(n+1)+(4*n+12)*a(n+2)+(-2*n-8)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=-2} ogf] A194590 4.86269 [-16*f(x)^2*x^4-16*f(x)^2*x^3-8*f(x)*x^3+4*f(x)^2*x-4*f(x)*x^2+f(x)^2+2*f(x)*x-x^2+f(x) ogf] A194597 8.14913 [-(9*x^8+3*x^7+x^6+3*x^5+9*x^4+x^3+6*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A194599 9.36384 [-(3*x^8+x^6+6*x^5+5*x^4+8*x^3+5*x^2+6*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A194605 4.36924 [8*x^3*(x^6+30*x^5-75*x^4-335*x^3-750*x^2-1131*x-260)/(x-1)^9 ogf] A194628 9.63574 [(x^13+x^8+x^7-x^6-x^2-x+1)/(3*x^7-x^6-2*x+1) ogf] A194629 8.57757 [(x^15+x^9+x^8-x^7-x^2-x+1)/(3*x^8-x^7-2*x+1) ogf] A194630 8.60045 [(x^17+x^10+x^9-x^8-x^2-x+1)/(3*x^9-x^8-2*x+1) ogf] A194633 6.69707 [(x^2+x-1)*(x^13-x^12-x^2-x+1)/(x-1)/(3*x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3-x^2-2*x+1) ogf] A194641 8.03620 [-(9*x^8+4*x^7+4*x^6+9*x^5+x^4+7*x^3+9*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A194642 5.51019 [-(4*x^13+3*x^12+7*x^11+6*x^10+5*x^8-5*x^6+5*x^4+4*x^3+8*x^2+7*x+1)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A194644 10.9861 [-(16-102*x-120*x^3+27*x^4+200*x^2)/(3*x-1)/(x^2-3*x+1)/(9*x^2-20*x+6) lgdogf] A194644 11.8650 [-2*(9*x^2-20*x+6)/(3*x-1)/(x^2-3*x+1) ogf] A194644 6.21956 [-(215*f(x)-6513)*(3*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+18*x^2-f(x)-40*x+12) ogf] A194644 6.64851 [{-a(n+3)+6*a(n+2)-10*a(n+1)+3*a(n),a(0)=12,a(1)=32,a(2)=90} ogf] A194644 6.88596 [-(-27*x^4+120*x^3-200*x^2+102*x-16)/(-27*x^5+150*x^4-272*x^3+189*x^2-56*x+6) lgdogf] A194645 6.82693 [-4*(84*x^4-234*x^3+210*x^2-71*x+8)/(x-1)/(3*x-1)/(4*x-1)/(2*x^2-4*x+1) ogf] A194650 11.7687 [-2*(-34-11*x-11*x^3+2*x^4+24*x^2)/(x-1)/(4*x^4-19*x^3+35*x^2-23*x-9) lgdogf] A194650 7.61835 [x^2*(4*x^4-19*x^3+35*x^2-23*x-9)/(x-1)^5 ogf] A194650 7.76486 [-(-4*x^4+22*x^3-48*x^2+22*x+68)/(-4*x^5+23*x^4-54*x^3+58*x^2-14*x-9) lgdogf] A194651 5.12778 [-x^3*(15*x^6-89*x^5+196*x^4-140*x^3-119*x^2+169*x+88)/(x-1)^7 ogf] A194652 3.73464 [x^3*(54*x^9-384*x^8+1052*x^7-1263*x^6+657*x^5-1434*x^4+4154*x^3-3567*x^2-917*x-32)/(x-1)^9 ogf] A194698 16.2561 [x^12/(x+1)/(x^2+1)/(x^8-x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x-1)^2 ogf] A194713 13.1924 [-13*x*(3*x+1)/(x-1)^3 ogf] A194713 16.2157 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A194713 34.8767 [-6*(1+x)/(3*x+1)/(x-1) lgdogf] A194713 6.48628 [-(1072*f(x)-17745)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+39*x^2-f(x)+13*x) ogf] A194713 6.88809 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=78} ogf] A194715 10.9951 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+15*x ogf] A194715 18.6438 [-15*x/(x-1)^3 ogf] A194715 30.6291 [3/(-x+1) lgdogf] A194715 65.5917 [[3] ogf_with_Euler_transform] A194715 7.58951 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=45} ogf] A194716 14.8525 [-(35+187*x+5*x^3+109*x^2)/(x-1)/(5*x^3+47*x^2+31*x+1) lgdogf] A194716 4.56007 [{(-9791*n^2-3871*n)*a(n)+(15354*n^2-1464*n+62510)*a(n+1)+(-5563*n^2-7349*n-1786)*a(n+2),a(0)=0,a(1)=1} ogf] A194716 5.01895 [-(895482*f(x)+10550791)*(f(x)*x^4-4*f(x)*x^3-5*x^4+6*f(x)*x^2-47*x^3-4*f(x)*x-31*x^2+f(x)-x) ogf] A194716 9.06833 [-(5*x^3+109*x^2+187*x+35)/(5*x^4+42*x^3-16*x^2-30*x-1) lgdogf] A194716 9.61461 [x*(5*x^3+47*x^2+31*x+1)/(x-1)^4 ogf] A194717 10.6283 [-2*(63+803*x+339*x^3+7*x^4+1308*x^2)/(x-1)/(14*x^4+311*x^3+561*x^2+121*x+1) lgdogf] A194717 6.96135 [-(-14*x^4-678*x^3-2616*x^2-1606*x-126)/(-14*x^5-297*x^4-250*x^3+440*x^2+120*x+1) lgdogf] A194717 7.61808 [-x*(14*x^4+311*x^3+561*x^2+121*x+1)/(x-1)^5 ogf] A194718 6.11771 [x*(42*x^5+2055*x^4+8102*x^3+5184*x^2+456*x+1)/(x-1)^6 ogf] A194718 8.05282 [-6*(77+2108*x+5421*x^3+720*x^4+7*x^5+7507*x^2)/(x-1)/(42*x^5+2055*x^4+8102*x^3+5184*x^2+456*x+1) lgdogf] A194719 4.89022 [-x*(132*x^6+13665*x^5+104077*x^4+146714*x^3+42582*x^2+1709*x+1)/(x-1)^7 ogf] A194720 3.90626 [x*(429*x^7+91803*x^6+1251089*x^5+3329195*x^4+2198375*x^3+329881*x^2+6427*x+1)/(x-1)^8 ogf] A194721 3.44101 [-x*(1430*x^8+624055*x^7+14462017*x^6+66140687*x^5+82769773*x^4+29532493*x^3+2481083*x^2+24301*x+1)/(x-1)^9 ogf] A194723 13.0645 [-1/2*(6*I*x-I+(-1+8*x)^(1/2))/(9*x-1)/(-1+8*x)^(1/2)/x lgdogf] A194723 3.30888 [{(432*n^2+216*n)*a(n)+(-174*n^2-384*n-216)*a(n+1)+(23*n^2+85*n+78)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A194723 9.70308 [-9*f(x)^2*x+f(x)^2+12*f(x)*x-f(x)-4*x ogf] A194724 3.40015 [{(-1536*n^2-768*n)*a(n)+(416*n^2+976*n+576)*a(n+1)+(-36*n^2-138*n-132)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=7} ogf] A194724 9.97376 [-16*f(x)^2*x+f(x)^2+24*f(x)*x-f(x)-9*x ogf] A194725 3.34487 [{(4000*n^2+2000*n)*a(n)+(-810*n^2-1980*n-1200)*a(n+1)+(51*n^2+201*n+198)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=9} ogf] A194725 9.81458 [-25*f(x)^2*x+f(x)^2+40*f(x)*x-f(x)-16*x ogf] A194726 3.16882 [{(-8640*n^2-4320*n)*a(n)+(1392*n^2+3504*n+2160)*a(n+1)+(-68*n^2-274*n-276)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=11} ogf] A194726 9.38137 [-36*f(x)^2*x+f(x)^2+60*f(x)*x-f(x)-25*x ogf] A194727 2.97050 [{(-16464*n^2-8232*n)*a(n)+(2198*n^2+5656*n+3528)*a(n+1)+(-87*n^2-357*n-366)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=13} ogf] A194727 8.83332 [-49*f(x)^2*x+f(x)^2+84*f(x)*x-f(x)-36*x ogf] A194728 3.06067 [{(28672*n^2+14336*n)*a(n)+(-3264*n^2-8544*n-5376)*a(n+1)+(108*n^2+450*n+468)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=15} ogf] A194728 9.06275 [-64*f(x)^2*x+f(x)^2+112*f(x)*x-f(x)-49*x ogf] A194729 3.15017 [{(-46656*n^2-23328*n)*a(n)+(4626*n^2+12276*n+7776)*a(n+1)+(-131*n^2-553*n-582)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=1,a(2)=17} ogf] A194729 9.36867 [-81*f(x)^2*x+f(x)^2+144*f(x)*x-f(x)-64*x ogf] A194730 8.33761 [-100*f(x)^2*x+f(x)^2+180*f(x)*x-f(x)-81*x ogf] A194731 8.03620 [-(9*x^8+5*x^7+7*x^6+6*x^5+2*x^4+4*x^3+3*x^2+8*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A194732 7.81986 [-(5*x^8+6*x^7+3*x^6+6*x^5+5*x^4+x^2+8*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A194754 5.83205 [-(x^13+x^12+x^11+x^10+x^9+x^8+x^7-7*x^6-6*x^5-5*x^4-4*x^3-3*x^2-2*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A194755 8.32179 [x^7*(x^6+2*x^5+3*x^4+4*x^3+5*x^2+6*x+7)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A194756 6.18534 [(x^12+2*x^11+3*x^10+4*x^9+5*x^8+6*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A194757 9.69781 [x*(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A194767 4.55933 [-2*(x^6+3*x^5+2*x^4+7*x^3+6*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A194770 11.3008 [-(2*x+1)/(x^2+x+1) lgdegf] A194770 16.4376 [1/(x^2+x+1) egf] A194770 3.84709 [{(-n^2-5*n-6)*a(n+1)+(-n-3)*a(n+2)-a(n+3),a(0)=1,a(1)=-1,a(2)=0} ogf] A194770 32.0517 [-(2*x+1)/(x^2+1+x) lgdegf] A194770 6.38165 [-(f(x)-2)*(f(x)*x^2+f(x)*x+f(x)-1) egf] A194772 6.98687 [-(-17+3*x-17*x^3-50*x^4+4*x^5+24*x^6+57*x^2)/(x-1)/(-1+2*x)/(1+x)/(12*x^4+4*x^3-17*x^2-4*x+7) lgdogf] A194772 7.62193 [-(12*x^4+4*x^3-17*x^2-4*x+7)/(x-1)/(2*x-1)^2/(x+1)^2 ogf] A194773 3.83732 [-(153*x^8+318*x^7-310*x^6-706*x^5+303*x^4+486*x^3-174*x^2-110*x+43)/(x-1)/(3*x^2+x-1)^2/(x^2+x-1)^2 ogf] A194825 8.03620 [-(9*x^8+6*x^7+x^6+3*x^5+3*x^4+x^3+6*x^2+9*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A194826 5.51019 [-(6*x^13+9*x^12+9*x^11+6*x^10-5*x^8-5*x^6+5*x^4+6*x^3+4*x^2+9*x+1)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A194880 11.2721 [-(-1-8*x-5*x^3-11*x^4-3*x^5-15*x^2+x^7)/(x-1)/(x^2+x+1)/(x^6+x^5-3*x^3-4*x^2-x-1) lgdogf] A194880 5.21950 [{(-n-4)*a(n)+(n+1)*a(n+3),a(0)=0,a(1)=-1,a(2)=-1,a(3)=-4,a(4)=-5} ogf] A194880 8.04418 [x*(x^6+x^5-3*x^3-4*x^2-x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A194886 7.48710 [-(7*x^8+2*x^7+5*x^6+6*x^5+5*x^4+2*x^3+7*x^2+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A194888 7.16684 [(192*x^5-80*x^4-96*x^3-6*x^2+3*x-1)/(4*x-1)/(2*x-1)/(8*x^2-1) ogf] A194932 12.4002 [(2*x^3+16*x^2+89*x+64)/(x-1)^2 ogf] A194932 14.6900 [(-217-121*x+2*x^3-6*x^2)/(x-1)/(2*x^3+16*x^2+89*x+64) lgdogf] A194932 6.34891 [-(854391069*f(x)-7282983128)*(f(x)*x^2-2*x^3-2*f(x)*x-16*x^2+f(x)-89*x-64) ogf] A194932 6.55879 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=64,a(1)=217,a(2)=386,a(3)=557} ogf] A194932 9.01833 [-(-2*x^3+6*x^2+121*x+217)/(2*x^4+14*x^3+73*x^2-25*x-64) lgdogf] A194933 7.67680 [(-5873-7329*x+176*x^3+54*x^4+6*x^5-912*x^2)/(x-1)/(2*x^5+32*x^4+304*x^3+1752*x^2+3825*x+1024) lgdogf] A194933 8.17758 [(2*x^5+32*x^4+304*x^3+1752*x^2+3825*x+1024)/(x-1)^2 ogf] A194934 5.64668 [(2*x^7+64*x^6+1008*x^5+9052*x^4+60956*x^3+226904*x^2+278555*x+32768)/(x-1)^2 ogf] A194935 3.75605 [(2*x^9+128*x^8+3556*x^7+53564*x^6+523996*x^5+3770536*x^4+18911836*x^3+51826628*x^2+39142705*x+2097152)/(x-1)^2 ogf] A194952 4.48699 [-6*(48*x^5-34*x^4-65*x^3+32*x^2+19*x-8)/(x-1)/(3*x-1)/(2*x+1)/(x+1)/(2*x-1)^2 ogf] A194960 12.5379 [-(2*x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A194960 16.6255 [-2*(-1-2*x-x^3+x^5)/(x-1)/(x^2+x+1)/(2*x^3-x^2-x-1) lgdogf] A194960 5.27511 [{(n+8)*a(n+1)+a(n+2)+a(n+3)+(-n-7)*a(n+4),a(0)=1,a(1)=2,a(2)=3,a(3)=2} ogf] A194960 7.20931 [(4*f(x)+27)*(f(x)*x^4-f(x)*x^3+2*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A194960 9.01165 [-(2*x^5-2*x^3-4*x-2)/(2*x^6-x^5-x^4-3*x^3+x^2+x+1) lgdogf] A194990 7.89595 [-(x^17-x^16-x^14-x^11-x^8-x^5-x^2-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A194999 10.3600 [-(x^3-3*x^2-12*x-10)/(-x^4-x^3-6*x^2+7*x+1) lgdogf] A194999 13.7019 [2*(x^3+2*x^2+8*x+1)/(x-1)^2 ogf] A194999 18.9480 [(-10-12*x+x^3-3*x^2)/(x-1)/(x^3+2*x^2+8*x+1) lgdogf] A194999 7.26083 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=2,a(1)=20,a(2)=42,a(3)=66} ogf] A194999 7.58498 [-(1116*f(x)+1579)*(f(x)*x^2-2*x^3-2*f(x)*x-4*x^2+f(x)-16*x-2) ogf] A195000 10.1227 [2*(x^5+2*x^4+21*x^3+45*x^2+38*x+1)/(x-1)^2 ogf] A195000 10.7389 [(-40-128*x+3*x^5-x^4+13*x^3-63*x^2)/(x-1)/(x^5+2*x^4+21*x^3+45*x^2+38*x+1) lgdogf] A195001 7.30620 [2*(x^7+2*x^6+39*x^5+84*x^4+493*x^3+570*x^2+286*x+1)/(x-1)^2 ogf] A195002 5.62506 [2*(x^9+2*x^8+73*x^7+152*x^6+1545*x^5+3985*x^4+11769*x^3+10914*x^2+2302*x+1)/(x-1)^2 ogf] A195003 4.16677 [2*(x^11+2*x^10+139*x^9+284*x^8+5063*x^7+11198*x^6+83846*x^5+168940*x^4+423351*x^3+251057*x^2+34814*x+1)/(x-1)^2 ogf] A195013 13.2519 [-(9*x^2+8*x+3)/(3*x^3+2*x^2-3*x-2) lgdogf] A195013 17.3086 [(3*x+2)/(x-1)^2/(x+1)^2 ogf] A195013 24.4483 [-(3+8*x+9*x^2)/(x-1)/(3*x+2)/(x+1) lgdogf] A195013 4.28344 [{(-2*n-8)*a(n+4)+(-6-3*n)*a(n+3)+(12+2*n)*a(n+2)+(12+3*n)*a(n+1),a(0)=2,a(1)=3,a(2)=4,a(3)=6} ogf] A195013 9.74852 [(35*f(x)-74)*(f(x)*x^4-2*f(x)*x^2+f(x)-3*x-2) ogf] A195014 11.1501 [-x*(3*x+2)/(x+1)^2/(x-1)^3 ogf] A195014 12.3327 [-(-12*x^2-13*x-5)/(-3*x^3-2*x^2+3*x+2) lgdogf] A195014 22.2806 [-(5+13*x+12*x^2)/(x-1)/(3*x+2)/(x+1) lgdogf] A195014 4.13175 [{(6+2*n)*a(n+4)+(1+3*n)*a(n+3)+(-15-2*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=0,a(1)=2,a(2)=5,a(3)=9} ogf] A195015 11.4200 [-(-12*x^2-12*x-6)/(-4*x^3-x^2+4*x+1) lgdogf] A195015 13.2231 [-2*x*(4*x+1)/(x+1)/(x-1)^3 ogf] A195015 20.6194 [-6*(1+2*x+2*x^2)/(x-1)/(4*x+1)/(x+1) lgdogf] A195015 6.61157 [(9475*f(x)-65918)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+8*x^2-f(x)+2*x) ogf] A195016 11.4777 [-(-9*x^2-34*x-17)/(-3*x^3-7*x^2+3*x+7) lgdogf] A195016 13.2899 [-x*(3*x+7)/(x+1)/(x-1)^3 ogf] A195016 20.7251 [-(17+34*x+9*x^2)/(x-1)/(3*x+7)/(x+1) lgdogf] A195016 6.41971 [(492200*f(x)-4457541)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+7*x) ogf] A195018 13.2107 [-x*(13*x+7)/(x-1)^3 ogf] A195018 15.0240 [-(-26*x-34)/(-13*x^2+6*x+7) lgdogf] A195018 27.9633 [-2*(17+13*x)/(13*x+7)/(x-1) lgdogf] A195018 6.43884 [(762800*f(x)-4914027)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+7*x) ogf] A195018 6.84127 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=34} ogf] A195019 12.4766 [-(12*x^2+12*x+4)/(4*x^3+3*x^2-4*x-3) lgdogf] A195019 16.8053 [(4*x+3)/(x-1)^2/(x+1)^2 ogf] A195019 22.4117 [-4*(1+3*x+3*x^2)/(x-1)/(4*x+3)/(x+1) lgdogf] A195019 9.35749 [(63*f(x)-227)*(f(x)*x^4-2*f(x)*x^2+f(x)-4*x-3) ogf] A195020 10.7158 [-x*(4*x+3)/(x+1)^2/(x-1)^3 ogf] A195020 11.8524 [-(-16*x^2-19*x-7)/(-4*x^3-3*x^2+4*x+3) lgdogf] A195020 21.4050 [-(7+19*x+16*x^2)/(x-1)/(4*x+3)/(x+1) lgdogf] A195020 3.95079 [{(9+3*n)*a(n+4)+(1+4*n)*a(n+3)+(-22-3*n)*a(n+2)+(-16-4*n)*a(n+1),a(0)=0,a(1)=3,a(2)=7,a(3)=13} ogf] A195021 13.5974 [-x*(25*x+3)/(x-1)^3 ogf] A195021 15.1663 [-(-50*x-34)/(-25*x^2+22*x+3) lgdogf] A195021 28.7939 [-2*(17+25*x)/(25*x+3)/(x-1) lgdogf] A195021 6.51775 [(2128560*f(x)-19275583)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)+3*x) ogf] A195021 7.04150 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=34} ogf] A195023 13.0919 [-2*x*(9*x+5)/(x-1)^3 ogf] A195023 15.4485 [-(-18*x-24)/(-9*x^2+4*x+5) lgdogf] A195023 31.7201 [-6*(4+3*x)/(9*x+5)/(x-1) lgdogf] A195023 6.54596 [(92414*f(x)-834879)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+10*x) ogf] A195023 6.83560 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=48} ogf] A195024 13.0919 [-x*(15*x+13)/(x-1)^3 ogf] A195024 14.8543 [-(30*x+54)/(15*x^2-2*x-13) lgdogf] A195024 29.2801 [-6*(9+5*x)/(15*x+13)/(x-1) lgdogf] A195024 6.33134 [(3382960*f(x)-31804233)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+13*x) ogf] A195024 6.83560 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=13,a(2)=54} ogf] A195025 13.0919 [-x*(11*x+17)/(x-1)^3 ogf] A195025 14.8543 [-(22*x+62)/(11*x^2+6*x-17) lgdogf] A195025 27.1886 [-2*(31+11*x)/(11*x+17)/(x-1) lgdogf] A195025 6.33134 [(4016432*f(x)-41613885)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+17*x) ogf] A195025 6.83560 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=17,a(2)=62} ogf] A195026 14.2666 [-7*x*(x+3)/(x-1)^3 ogf] A195026 16.8870 [-(2*x+10)/(x^2+2*x-3) lgdogf] A195026 38.0641 [-2*(5+x)/(x+3)/(x-1) lgdogf] A195026 6.95348 [-(1968*f(x)-23569)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+21*x) ogf] A195026 7.32269 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=70} ogf] A195027 13.3176 [-4*x*(x+6)/(x-1)^3 ogf] A195027 15.7637 [-(2*x+19)/(x^2+5*x-6) lgdogf] A195027 36.2515 [-(19+2*x)/(x+6)/(x-1) lgdogf] A195027 6.60191 [(20727*f(x)-283972)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+24*x) ogf] A195027 6.83560 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=76} ogf] A195028 13.3817 [-x*(x+27)/(x-1)^3 ogf] A195028 15.2184 [-(2*x+82)/(x^2+26*x-27) lgdogf] A195028 34.7725 [-2*(41+x)/(x+27)/(x-1) lgdogf] A195028 6.41435 [(5929392*f(x)-94469815)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+27*x) ogf] A195028 6.86846 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=27,a(2)=82} ogf] A195029 11.4684 [-(4*x^2+50*x+30)/(4*x^3+17*x^2-18*x-3) lgdogf] A195029 12.5782 [-(4*x^2+21*x+3)/(x-1)^3 ogf] A195029 19.6153 [-2*(15+25*x+2*x^2)/(x-1)/(4*x^2+21*x+3) lgdogf] A195029 6.2388 [(1159536*f(x)-15616283)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+21*x+3) ogf] A195029 6.84079 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=30,a(2)=85} ogf] A195030 10.9946 [x*(2*x^4-30*x^3+x-1)/(x-1)^3 ogf] A195030 16.3724 [2*(1-x+x^4-4*x^3+45*x^2)/(x-1)/(2*x^4-30*x^3+x-1) lgdogf] A195030 8.21819 [-(2*x^4-8*x^3+90*x^2-2*x+2)/(-2*x^5+32*x^4-30*x^3-x^2+2*x-1) lgdogf] A195031 12.1813 [-(-36*x^2-20*x-12)/(-12*x^3-5*x^2+12*x+5) lgdogf] A195031 16.8102 [(12*x+5)/(x-1)^2/(x+1)^2 ogf] A195031 22.2775 [-4*(3+5*x+9*x^2)/(12*x+5)/(x-1)/(x+1) lgdogf] A195031 4.10005 [{(-5*n-20)*a(n+4)+(-24-12*n)*a(n+3)+(30+5*n)*a(n+2)+(48+12*n)*a(n+1),a(0)=5,a(1)=12,a(2)=10,a(3)=24} ogf] A195031 8.66507 [(182665*f(x)-2905843)*(f(x)*x^4-2*f(x)*x^2+f(x)-12*x-5) ogf] A195032 10.7700 [-x*(12*x+5)/(x+1)^2/(x-1)^3 ogf] A195032 11.5504 [-(-48*x^2-37*x-17)/(-12*x^3-5*x^2+12*x+5) lgdogf] A195032 20.6692 [-(17+37*x+48*x^2)/(12*x+5)/(x-1)/(x+1) lgdogf] A195032 3.94545 [{(15+5*n)*a(n+4)+(7+12*n)*a(n+3)+(-42-5*n)*a(n+2)+(-48-12*n)*a(n+1),a(0)=0,a(1)=5,a(2)=17,a(3)=27} ogf] A195033 11.8546 [-(60*x^2+84*x+20)/(20*x^3+21*x^2-20*x-21) lgdogf] A195033 16.5034 [(20*x+21)/(x-1)^2/(x+1)^2 ogf] A195033 20.6430 [-4*(5+21*x+15*x^2)/(x-1)/(20*x+21)/(x+1) lgdogf] A195033 4.02715 [{(21*n+84)*a(n+4)+(40+20*n)*a(n+3)+(-126-21*n)*a(n+2)+(-80-20*n)*a(n+1),a(0)=21,a(1)=20,a(2)=42,a(3)=40} ogf] A195033 8.17161 [-(173061*f(x)+10421321)*(f(x)*x^4-2*f(x)*x^2+f(x)-20*x-21) ogf] A195034 10.3955 [-(-80*x^2-125*x-41)/(-20*x^3-21*x^2+20*x+21) lgdogf] A195034 18.4299 [-(41+125*x+80*x^2)/(x-1)/(20*x+21)/(x+1) lgdogf] A195034 9.97972 [-x*(20*x+21)/(x+1)^2/(x-1)^3 ogf] A195035 11.7323 [-(24*x^2+60*x+8)/(8*x^3+15*x^2-8*x-15) lgdogf] A195035 15.9559 [(8*x+15)/(x-1)^2/(x+1)^2 ogf] A195035 20.5747 [-4*(2+15*x+6*x^2)/(8*x+15)/(x-1)/(x+1) lgdogf] A195035 8.05855 [(2253195*f(x)+30940837)*(f(x)*x^4-2*f(x)*x^2+f(x)-8*x-15) ogf] A195036 11.0822 [-x*(8*x+15)/(x+1)^2/(x-1)^3 ogf] A195036 11.8852 [-(-32*x^2-83*x-23)/(-8*x^3-15*x^2+8*x+15) lgdogf] A195036 21.2771 [-(23+83*x+32*x^2)/(8*x+15)/(x-1)/(x+1) lgdogf] A195036 4.03981 [{(-45-15*n)*a(n+4)+(7-8*n)*a(n+3)+(98+15*n)*a(n+2)+(32+8*n)*a(n+1),a(0)=0,a(1)=15,a(2)=23,a(3)=53} ogf] A195037 10.8832 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+17*x ogf] A195037 18.4540 [-17*x/(x-1)^3 ogf] A195037 30.3173 [3/(-x+1) lgdogf] A195037 64.9134 [[3] ogf_with_Euler_transform] A195037 7.51226 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=17,a(2)=51} ogf] A195038 16.8405 [-41*x/(x-1)^3 ogf] A195038 27.6666 [3/(-x+1) lgdogf] A195038 59.1806 [[3] ogf_with_Euler_transform] A195038 6.79531 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=41,a(2)=123} ogf] A195038 9.9316 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+41*x ogf] A195039 16.6303 [-23*x/(x-1)^3 ogf] A195039 27.3212 [3/(-x+1) lgdogf] A195039 58.4545 [[3] ogf_with_Euler_transform] A195039 6.76987 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=23,a(2)=69} ogf] A195039 9.80764 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+23*x ogf] A195041 10.1925 [-(-2*x^3-17*x^2-16*x-7)/(-x^4-5*x^3+5*x+1) lgdogf] A195041 11.6037 [-x*(x^2+5*x+1)/(x+1)/(x-1)^3 ogf] A195041 16.1469 [-(7+16*x+2*x^3+17*x^2)/(x-1)/(x+1)/(x^2+5*x+1) lgdogf] A195041 6.13205 [-(167*f(x)-717)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+5*x^2-f(x)+x) ogf] A195042 11.9549 [-(-2*x^3-23*x^2-20*x-9)/(-x^4-7*x^3+7*x+1) lgdogf] A195042 13.6102 [-x*(x^2+7*x+1)/(x+1)/(x-1)^3 ogf] A195042 18.9754 [-(9+20*x+2*x^3+23*x^2)/(x-1)/(x+1)/(x^2+7*x+1) lgdogf] A195042 7.13436 [-(631*f(x)-3475)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+7*x^2-f(x)+x) ogf] A195043 10.3629 [-(-2*x^3-29*x^2-24*x-11)/(-x^4-9*x^3+9*x+1) lgdogf] A195043 11.9571 [-x*(x^2+9*x+1)/(x+1)/(x-1)^3 ogf] A195043 16.2921 [-(11+24*x+2*x^3+29*x^2)/(x-1)/(x+1)/(x^2+9*x+1) lgdogf] A195043 6.16837 [-(1543*f(x)-10493)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+9*x^2-f(x)+x) ogf] A195045 11.7955 [-(-2*x^3-35*x^2-28*x-13)/(-x^4-11*x^3+11*x+1) lgdogf] A195045 13.7614 [-x*(x^2+11*x+1)/(x+1)/(x-1)^3 ogf] A195045 18.6762 [-(13+2*x^3+28*x+35*x^2)/(x-1)/(x+1)/(x^2+11*x+1) lgdogf] A195045 7.15159 [-(3047*f(x)-24723)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+11*x^2-f(x)+x) ogf] A195046 10.2926 [-(-2*x^3-41*x^2-32*x-15)/(-x^4-13*x^3+13*x+1) lgdogf] A195046 12.0080 [-x*(x^2+13*x+1)/(x+1)/(x-1)^3 ogf] A195046 14.2008 [-(31-2*x^3+x^4+58*x+2*x^2)/(x-1)/(x+1)/(x^3-2*x^2+x+15) lgdogf] A195046 6.24038 [-(5287*f(x)-49885)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+13*x^2-f(x)+x) ogf] A195047 10.7004 [-(-2*x^3-47*x^2-36*x-17)/(-x^4-15*x^3+15*x+1) lgdogf] A195047 12.4838 [-x*(x^2+15*x+1)/(x+1)/(x-1)^3 ogf] A195047 16.9246 [-(17+2*x^3+36*x+47*x^2)/(x-1)/(x+1)/(x^2+15*x+1) lgdogf] A195047 6.48765 [-(8407*f(x)-90467)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+15*x^2-f(x)+x) ogf] A195048 10.1346 [-(-2*x^3-53*x^2-40*x-19)/(-x^4-17*x^3+17*x+1) lgdogf] A195048 11.8237 [-x*(x^2+17*x+1)/(x+1)/(x-1)^3 ogf] A195048 16.0197 [-(19+2*x^3+40*x+53*x^2)/(x-1)/(x+1)/(x^2+17*x+1) lgdogf] A195048 6.14461 [-(1793*f(x)-21675)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+17*x^2-f(x)+x) ogf] A195049 10.2335 [-(-2*x^3-59*x^2-44*x-21)/(-x^4-19*x^3+19*x+1) lgdogf] A195049 11.9391 [-x*(x^2+19*x+1)/(x+1)/(x-1)^3 ogf] A195049 16.1783 [-(21+2*x^3+44*x+59*x^2)/(x-1)/(x+1)/(x^2+19*x+1) lgdogf] A195049 6.10837 [-(17863*f(x)-239683)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+19*x^2-f(x)+x) ogf] A195058 11.6393 [-x*(x^2+21*x+1)/(x+1)/(x-1)^3 ogf] A195058 15.7675 [-(23+48*x+2*x^3+65*x^2)/(x-1)/(x+1)/(x^2+21*x+1) lgdogf] A195058 5.95497 [-(24487*f(x)-361133)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+21*x^2-f(x)+x) ogf] A195058 9.97651 [-(-2*x^3-65*x^2-48*x-23)/(-x^4-21*x^3+21*x+1) lgdogf] A195060 4.43581 [-x*(x^11-2*x^10+2*x^9-2*x^8+x^7+x^5-x^4+x^3+x^2+1)/(x+1)/(x^4+1)/(x^2+1)^2/(x-1)^3 ogf] A195061 13.1194 [(-1-34*x^33+33*x^34+37*x^36-74*x^37+37*x^38)/(x-1)/(x^38-x^37+x^34+1) lgdogf] A195061 15.3936 [-(x^38-x^37+x^34+1)/(x-1) ogf] A195062 13.6394 [-x*(2+4*x^2+6*x^4+7*x^5+5*x^7+3*x^9+x^11)/(x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1) lgdogf] A195062 15.9359 [-(x^2+1)*(x^4+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A195062 23.6705 [-x*(x^6-x^5-1) ogf_with_Euler_transform] A195084 11.5018 [-(2*x^2+4*x+1)/(x-1)/(x+1)^2 ogf] A195084 17.5852 [-(3+3*x+2*x^3+6*x^2)/(x-1)/(x+1)/(1+2*x^2+4*x) lgdogf] A195084 5.99669 [-(23*f(x)-73)*(f(x)*x^3+f(x)*x^2-f(x)*x+2*x^2-f(x)+4*x+1) ogf] A195084 6.32083 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=0} ogf] A195084 8.77015 [-(-2*x^3-6*x^2-3*x-3)/(-2*x^4-4*x^3+x^2+4*x+1) lgdogf] A195116 4.12767 [-(2496350*f(x)-6753751)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+294*x^3-12*f(x)*x-341*x^2+f(x)+119*x-12) ogf] A195116 7.69248 [-(294*x^3-341*x^2+119*x-12)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A195123 5.69221 [x*(x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A195125 8.07049 [-x*(x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A195140 11.3372 [-(-2*x^3-15*x^2-6*x-5)/(-x^4-5*x^3+5*x+1) lgdogf] A195140 13.5675 [x*(x^2+5*x+1)/(x-1)^2/(x+1)^2 ogf] A195140 18.1142 [-(5+6*x+15*x^2+2*x^3)/(x-1)/(x+1)/(1+5*x+x^2) lgdogf] A195140 7.19667 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A195140 8.1139 [-(5*f(x)+11)*(f(x)*x^4-2*f(x)*x^2-x^3-5*x^2+f(x)-x) ogf] A195142 10.6777 [-(-2*x^3-26*x^2-22*x-10)/(-x^4-8*x^3+8*x+1) lgdogf] A195142 12.3205 [-x*(x^2+8*x+1)/(x+1)/(x-1)^3 ogf] A195142 17.1583 [-2*(5+11*x+13*x^2+x^3)/(x-1)/(x+1)/(x^2+8*x+1) lgdogf] A195142 6.40665 [-(1022*f(x)-6285)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+8*x^2-f(x)+x) ogf] A195143 10.5004 [-(-2*x^3-32*x^2-26*x-12)/(-x^4-10*x^3+10*x+1) lgdogf] A195143 12.2505 [-x*(x^2+10*x+1)/(x+1)/(x-1)^3 ogf] A195143 16.9570 [-2*(6+13*x+16*x^2+x^3)/(x-1)/(x+1)/(x^2+10*x+1) lgdogf] A195143 6.57342 [-(79*f(x)-589)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+10*x^2-f(x)+x) ogf] A195145 10.6004 [-(-2*x^3-38*x^2-30*x-14)/(-x^4-12*x^3+12*x+1) lgdogf] A195145 12.3672 [-x*(x^2+12*x+1)/(x+1)/(x-1)^3 ogf] A195145 17.1209 [-2*(7+15*x+19*x^2+x^3)/(x-1)/(x+1)/(x^2+12*x+1) lgdogf] A195145 6.42702 [-(4066*f(x)-35675)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+12*x^2-f(x)+x) ogf] A195146 10.6504 [-(-2*x^3-44*x^2-34*x-16)/(-x^4-14*x^3+14*x+1) lgdogf] A195146 12.4255 [-x*(x^2+14*x+1)/(x+1)/(x-1)^3 ogf] A195146 17.2028 [-2*(8+17*x+22*x^2+x^3)/(x-1)/(x+1)/(x^2+14*x+1) lgdogf] A195146 6.45733 [-(3364*f(x)-33969)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+14*x^2-f(x)+x) ogf] A195147 10.4417 [-(-2*x^3-50*x^2-38*x-18)/(-x^4-16*x^3+16*x+1) lgdogf] A195147 12.1820 [-x*(x^2+16*x+1)/(x+1)/(x-1)^3 ogf] A195147 16.8623 [-2*(9+19*x+25*x^2+x^3)/(x-1)/(x+1)/(x^2+16*x+1) lgdogf] A195147 6.23267 [-(10342*f(x)-118153)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+16*x^2-f(x)+x) ogf] A195148 10.4915 [-(-2*x^3-56*x^2-42*x-20)/(-x^4-18*x^3+18*x+1) lgdogf] A195148 12.2400 [-x*(x^2+18*x+1)/(x+1)/(x-1)^3 ogf] A195148 16.5908 [-2*(10+21*x+28*x^2+x^3)/(x-1)/(x+1)/(x^2+18*x+1) lgdogf] A195148 6.36097 [-(3763*f(x)-47990)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+18*x^2-f(x)+x) ogf] A195149 10.6406 [-(-2*x^3-62*x^2-46*x-22)/(-x^4-20*x^3+20*x+1) lgdogf] A195149 12.4141 [-x*(x^2+20*x+1)/(x+1)/(x-1)^3 ogf] A195149 16.8301 [-2*(11+23*x+31*x^2+x^3)/(x-1)/(x+1)/(x^2+20*x+1) lgdogf] A195149 6.35139 [-(21002*f(x)-295767)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+20*x^2-f(x)+x) ogf] A195156 10.9572 [-16*f(x)*x^2+17*f(x)*x-f(x)+5*x ogf] A195156 12.8536 [-(32*x-17)/(16*x^2-17*x+1) lgdogf] A195156 17.1382 [5*x/(16*x-1)/(x-1) ogf] A195156 25.3675 [-(-17+32*x)/(16*x-1)/(x-1) lgdogf] A195156 8.05287 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=0,a(1)=5} ogf] A195158 10.0748 [-(-2*x^3-68*x^2-50*x-24)/(-x^4-22*x^3+22*x+1) lgdogf] A195158 11.7539 [-x*(x^2+22*x+1)/(x+1)/(x-1)^3 ogf] A195158 15.9251 [-2*(12+x^3+25*x+34*x^2)/(x-1)/(x+1)/(x^2+22*x+1) lgdogf] A195158 6.01363 [-(14168*f(x)-218375)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+22*x^2-f(x)+x) ogf] A195159 11.1376 [-(-2*x^3-21*x^2-6*x-7)/(-x^4-7*x^3+7*x+1) lgdogf] A195159 13.3286 [x*(x^2+7*x+1)/(x-1)^2/(x+1)^2 ogf] A195159 17.7925 [-(7+2*x^3+6*x+21*x^2)/(x-1)/(x+1)/(x^2+1+7*x) lgdogf] A195159 7.06996 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A195159 7.97103 [-(7*f(x)+23)*(f(x)*x^4-2*f(x)*x^2-x^3-7*x^2+f(x)-x) ogf] A195160 10.7288 [-(-3*x^3-29*x^2-14*x-8)/(-x^4-7*x^3+7*x+1) lgdogf] A195160 17.0056 [-(8+3*x^3+14*x+29*x^2)/(x-1)/(x+1)/(x^2+1+7*x) lgdogf] A195160 9.80162 [-x*(x^2+7*x+1)/(x+1)^2/(x-1)^3 ogf] A195161 10.7687 [-(-2*x^3-24*x^2-6*x-8)/(-x^4-8*x^3+8*x+1) lgdogf] A195161 12.8871 [x*(x^2+8*x+1)/(x-1)^2/(x+1)^2 ogf] A195161 17.1962 [-2*(4+x^3+3*x+12*x^2)/(x-1)/(x+1)/(x^2+1+8*x) lgdogf] A195161 6.83577 [{(-n-3)*a(n+1)+(n+1)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A195161 7.63218 [-(16*f(x)+61)*(f(x)*x^4-2*f(x)*x^2-x^3-8*x^2+f(x)-x) ogf] A195162 10.2389 [-x*(x^2+8*x+1)/(x+1)^2/(x-1)^3 ogf] A195162 11.2074 [-(-3*x^3-33*x^2-15*x-9)/(-x^4-8*x^3+8*x+1) lgdogf] A195162 18.1692 [-3*(3+x^3+5*x+11*x^2)/(x-1)/(x+1)/(x^2+1+8*x) lgdogf] A195163 14.3213 [-x*(997*x+1)/(x-1)^3 ogf] A195163 14.5682 [-(-1994*x-1000)/(-997*x^2+996*x+1) lgdogf] A195163 27.8041 [-2*(500+997*x)/(997*x+1)/(x-1) lgdogf] A195163 6.07881 [-(2980050940028*f(x)-991032939056979)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+997*x^2-f(x)+x) ogf] A195163 7.41189 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1000} ogf] A195198 5.48480 [-(x^8-x^7+x^6-x^4+x^3+x^2-x+1)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A195221 5.66025 [-(x^5-7*x^4-70*x^3-536*x^2-501*x-91)/(x-1)^6 ogf] A195221 7.79617 [-(-1047-3577*x-238*x^3+x^5-9*x^4-2354*x^2)/(x-1)/(x^5-7*x^4-70*x^3-536*x^2-501*x-91) lgdogf] A195233 14.7864 [-(27*x+155)/(27*x^2+37*x-64) lgdogf] A195233 16.9886 [(27*x+64)/(x-1)^2 ogf] A195233 29.0121 [-(155+27*x)/(27*x+64)/(x-1) lgdogf] A195233 8.58563 [(182*f(x)+12377)*(f(x)*x^2-2*f(x)*x+f(x)-27*x-64) ogf] A195233 9.39369 [{-a(n+2)+2*a(n+1)-a(n),a(0)=64,a(1)=155} ogf] A195234 10.9553 [-(1403*x+3151)/(150*x^3+953*x^2-79*x-1024) lgdogf] A195234 12.5717 [(150*x^2+1103*x+1024)/(x-1)^2 ogf] A195234 17.9176 [-23*(137+61*x)/(x-1)/(150*x^2+1103*x+1024) lgdogf] A195234 6.90877 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1024,a(1)=3151,a(2)=5428} ogf] A195234 7.10068 [(198*f(x)+228935)*(f(x)*x^2-2*f(x)*x-150*x^2+f(x)-1103*x-1024) ogf] A195235 4.49123 [-(21701688624111277259*f(x)-243360699490867868905536)*(f(x)*x^2-998*x^3-2*f(x)*x-15016*x^2+f(x)-62249*x-32768) ogf] A195235 5.43674 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=32768,a(1)=127785,a(2)=237818,a(3)=348849} ogf] A195235 9.59133 [(-127785-92281*x+998*x^3-2994*x^2)/(x-1)/(998*x^3+15016*x^2+62249*x+32768) lgdogf] A195235 9.64116 [(998*x^3+15016*x^2+62249*x+32768)/(x-1)^2 ogf] A195236 6.89789 [(9546*x^4+237516*x^3+2182632*x^2+6127761*x+2097152)/(x-1)^2 ogf] A195237 5.10632 [(141128*x^5+5176676*x^4+78250080*x^3+543337378*x^2+1126547401*x+268435456)/(x-1)^2 ogf] A195241 11.2985 [(3*x^4-19*x^3+x-1)/(x-1)^3 ogf] A195241 14.9184 [(2-2*x-12*x^3+3*x^4+57*x^2)/(x-1)/(3*x^4-19*x^3+x-1) lgdogf] A195241 6.17887 [(2971*f(x)+218701)*(f(x)*x^3-3*x^4-3*f(x)*x^2+19*x^3+3*f(x)*x-f(x)-x+1) ogf] A195241 7.90896 [-(3*x^4-12*x^3+57*x^2-2*x+2)/(-3*x^5+22*x^4-19*x^3-x^2+2*x-1) lgdogf] A195249 11.8357 [(94*x^3+288*x^2+601*x+64)/(x-1)^2 ogf] A195249 12.9741 [(-729-1177*x+94*x^3-282*x^2)/(x-1)/(94*x^3+288*x^2+601*x+64) lgdogf] A195249 5.83084 [-(1160866722669*f(x)-38665644864440)*(f(x)*x^2-94*x^3-2*f(x)*x-288*x^2+f(x)-601*x-64) ogf] A195249 6.44711 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=64,a(1)=729,a(2)=1682,a(3)=2729} ogf] A195249 8.26036 [-(94*x^3-282*x^2-1177*x-729)/(-94*x^4-194*x^3-313*x^2+537*x+64) lgdogf] A195250 7.37844 [(1176*x^5+7962*x^4+35868*x^3+73440*x^2+57001*x+1024)/(x-1)^2 ogf] A195251 4.39661 [(27088*x^7+311868*x^6+2147942*x^5+9100104*x^4+27413120*x^3+38714848*x^2+14283371*x+32768)/(x-1)^2 ogf] A195254 6.98091 [{2*a(n)*n+(-n-3)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A195255 6.64865 [{3*a(n)*n+(-n-4)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A195256 6.20392 [{4*a(n)*n+(-n-5)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A195257 6.40498 [{5*a(n)*n+(-n-6)*a(n+1)+a(n+2),a(0)=1,a(1)=5} ogf] A195279 5.38239 [-(x^5-7*x^4-150*x^3-1134*x^2-1099*x-171)/(x-1)^6 ogf] A195279 7.31564 [-(-2125-7763*x-478*x^3+x^5-9*x^4-4986*x^2)/(x-1)/(x^5-7*x^4-150*x^3-1134*x^2-1099*x-171) lgdogf] A195291 33.4978 [-x^3+x^2+2 ogf_with_Euler_transform] A195291 5.83481 [-(8*x^71-20*x^70-21*x^69-20*x^68-25*x^67-8*x^3-8*x^2-8*x-8)/(28*x^71-27*x^70+6*x^69-30*x^68+25*x^67+8*x^4-8*x^3-8*x+8) ogf] A195309 8.13647 [(x^4+9*x^3+7*x^2+9*x+1)/(x-1)^4/(x+1)^4 ogf] A195309 9.85128 [-(9+22*x+46*x^3+4*x^5+45*x^4+90*x^2)/(x-1)/(x+1)/(x^4+9*x^3+7*x^2+9*x+1) lgdogf] A195312 10.1353 [-(-2*x^3-27*x^2-6*x-9)/(-x^4-9*x^3+9*x+1) lgdogf] A195312 12.1291 [x*(x^2+9*x+1)/(x-1)^2/(x+1)^2 ogf] A195312 16.1722 [-(9+6*x+2*x^3+27*x^2)/(x-1)/(x+1)/(1+x^2+9*x) lgdogf] A195312 6.43372 [{(n+3)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A195312 7.25371 [-(3*f(x)+13)*(f(x)*x^4-2*f(x)*x^2-x^3-9*x^2+f(x)-x) ogf] A195313 10.5813 [-(-3*x^3-37*x^2-16*x-10)/(-x^4-9*x^3+9*x+1) lgdogf] A195313 16.6379 [-(10+16*x+3*x^3+37*x^2)/(x-1)/(x+1)/(1+x^2+9*x) lgdogf] A195313 9.79748 [-x*(x^2+9*x+1)/(x+1)^2/(x-1)^3 ogf] A195314 11.8726 [-(x^2+54*x+29)/(x^3+25*x^2-25*x-1) lgdogf] A195314 13.0216 [-(x^2+26*x+1)/(x-1)^3 ogf] A195314 24.0117 [-(29+54*x+x^2)/(x-1)/(x^2+26*x+1) lgdogf] A195314 6.90031 [(139*f(x)-2214)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+26*x+1) ogf] A195314 7.08190 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=29,a(2)=85} ogf] A195315 11.5776 [-(x^2+62*x+33)/(x^3+29*x^2-29*x-1) lgdogf] A195315 12.6980 [-(x^2+30*x+1)/(x-1)^3 ogf] A195315 23.4067 [-(33+62*x+x^2)/(x-1)/(x^2+30*x+1) lgdogf] A195315 6.72887 [(159*f(x)-2914)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+30*x+1) ogf] A195315 6.90594 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=33,a(2)=97} ogf] A195316 11.7414 [-(x^2+70*x+37)/(x^3+33*x^2-33*x-1) lgdogf] A195316 12.8777 [-(x^2+34*x+1)/(x-1)^3 ogf] A195316 23.7443 [-(37+70*x+x^2)/(x-1)/(x^2+34*x+1) lgdogf] A195316 6.82409 [(179*f(x)-3710)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+34*x+1) ogf] A195316 6.94277 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=37,a(2)=109} ogf] A195317 11.8507 [-(x^2+78*x+41)/(x^3+37*x^2-37*x-1) lgdogf] A195317 12.9975 [-(x^2+38*x+1)/(x-1)^3 ogf] A195317 23.9694 [-(41+78*x+x^2)/(x-1)/(x^2+38*x+1) lgdogf] A195317 6.88757 [(199*f(x)-4602)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+38*x+1) ogf] A195317 7.00735 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=41,a(2)=121} ogf] A195318 11.9053 [-(x^2+86*x+45)/(x^3+41*x^2-41*x-1) lgdogf] A195318 13.0574 [-(x^2+42*x+1)/(x-1)^3 ogf] A195318 24.0819 [-(45+86*x+x^2)/(x-1)/(x^2+42*x+1) lgdogf] A195318 6.91931 [(219*f(x)-5590)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+42*x+1) ogf] A195318 7.03963 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=45,a(2)=133} ogf] A195319 13.6762 [-3*x*(x+3)/(x-1)^3 ogf] A195319 15.9090 [-(2*x+10)/(x^2+2*x-3) lgdogf] A195319 38.4095 [-2*(5+x)/(x+3)/(x-1) lgdogf] A195319 6.96021 [(656*f(x)-3367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+9*x) ogf] A195319 6.96021 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=30} ogf] A195320 14.2018 [-7*x*(3*x+1)/(x-1)^3 ogf] A195320 17.1605 [-(-6*x-6)/(-3*x^2+2*x+1) lgdogf] A195320 36.9281 [-6*(x+1)/(3*x+1)/(x-1) lgdogf] A195320 6.98053 [-(1072*f(x)-9555)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)+7*x) ogf] A195320 7.35449 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=42} ogf] A195321 13.3437 [-18*x*(x+1)/(x-1)^3 ogf] A195321 17.8927 [-(2*x+4)/(x^2-1) lgdogf] A195321 37.2401 [[4-x] ogf_with_Euler_transform] A195321 38.8068 [-2*(x+2)/(x-1)/(x+1) lgdogf] A195321 6.96705 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=18,a(2)=72} ogf] A195321 7.22273 [(2*f(x)+9)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)+18*x) ogf] A195322 13.4066 [-20*x*(x+1)/(x-1)^3 ogf] A195322 17.9770 [-(2*x+4)/(x^2-1) lgdogf] A195322 37.4158 [[4-x] ogf_with_Euler_transform] A195322 38.9925 [-2*(x+2)/(x-1)/(x+1) lgdogf] A195322 6.99991 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=20,a(2)=80} ogf] A195322 7.2568 [(f(x)+5)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+20*x) ogf] A195323 14.4711 [-22*x*(x+1)/(x-1)^3 ogf] A195323 19.4044 [-(2*x+4)/(x^2-1) lgdogf] A195323 39.3638 [-2*(x+2)/(x-1)/(x+1) lgdogf] A195323 40.4024 [[4-x] ogf_with_Euler_transform] A195323 7.55568 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=22,a(2)=88} ogf] A195323 9.81371 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)+22*x ogf] A195339 10.2720 [-(4*x^3+6*x^2-4)/(x^4+2*x^3-4*x+1) lgdogf] A195339 15.9447 [-2*(-2+2*x^3+3*x^2)/(x-1)/(x^3+3*x^2+3*x-1) lgdogf] A195339 18.8783 [1/(x-1)/(x^3+3*x^2+3*x-1) ogf] A195339 6.78152 [-(2*f(x)-1)*(f(x)*x^4+2*f(x)*x^3-4*f(x)*x+f(x)-1) ogf] A195350 11.4300 [-(x^2+3*x-1)/(x-1)/(x^3+3*x^2+3*x-1) ogf] A195350 5.8591 [-(474*f(x)-361)*(f(x)*x^4+2*f(x)*x^3-4*f(x)*x+x^2+f(x)+3*x-1) ogf] A195350 9.91596 [-(1-2*x+8*x^3+2*x^5+11*x^4-2*x^2)/(x-1)/(x^2+3*x-1)/(x^3+3*x^2+3*x-1) lgdogf] A195460 10.2883 [(16*x^2-12*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A195460 5.18468 [-(24003*f(x)-175456)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-16*x^2-f(x)+12*x+1) ogf] A195460 5.67632 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=1,a(1)=19,a(2)=103} ogf] A195460 8.97099 [-(-19+60*x-192*x^3+128*x^4+32*x^2)/(x-1)/(2*x-1)/(4*x-1)/(16*x^2-12*x-1) lgdogf] A195463 15.0112 [-(32*x-11)/(4*x-1)/(x-1) ogf] A195463 16.4956 [-(23-88*x+128*x^2)/(x-1)/(32*x-11)/(4*x-1) lgdogf] A195463 7.50562 [-(27*f(x)+232)*(4*f(x)*x^2-5*f(x)*x+f(x)+32*x-11) ogf] A195463 8.39913 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=11,a(1)=23} ogf] A195463 9.53415 [-(-128*x^2+88*x-23)/(-128*x^3+204*x^2-87*x+11) lgdogf] A195464 5.05815 [(3802925*f(x)+22873968)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+256*x^2-f(x)-134*x+13) ogf] A195464 5.51798 [{-a(n+3)+21*a(n+2)-84*a(n+1)+64*a(n),a(0)=13,a(1)=139,a(2)=2083} ogf] A195464 7.81088 [-(139-1672*x-17152*x^3+16384*x^4+8376*x^2)/(x-1)/(4*x-1)/(16*x-1)/(256*x^2-134*x+13) lgdogf] A195464 9.67645 [-(256*x^2-134*x+13)/(x-1)/(4*x-1)/(16*x-1) ogf] A195499 12.2925 [-(x-3)/(x+1)/(x^2-4*x+1) ogf] A195499 14.5179 [-2*(4+9*x+x^3-6*x^2)/(x-3)/(x+1)/(x^2-4*x+1) lgdogf] A195499 5.76549 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=8,a(2)=33} ogf] A195499 5.92274 [(73466*f(x)+1611)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)+x-3) ogf] A195499 7.84940 [-(2*x^3-12*x^2+18*x+8)/(x^4-6*x^3+6*x^2+10*x-3) lgdogf] A195503 10.2083 [-(-x^2+8*x-15)/(-x^3+8*x^2-17*x+4) lgdogf] A195503 14.9722 [-(x-4)/(x^2-4*x+1) ogf] A195503 22.0345 [-(x-3)*(x-5)/(x-4)/(x^2-4*x+1) lgdogf] A195503 7.74422 [(52*f(x)+17)*(f(x)*x^2-4*f(x)*x+f(x)+x-4) ogf] A195503 8.11743 [{-a(n+2)+4*a(n+1)-a(n),a(0)=4,a(1)=15} ogf] A195523 4.52658 [-(x^6-6*x^5+213*x^4+2346*x^3+5175*x^2+2360*x+199)/(x-1)^7 ogf] A195531 11.0450 [-(x^2-2*x-5)/(x+1)/(x^2-4*x+1) ogf] A195531 11.8042 [-(17+28*x-4*x^3+x^4-6*x^2)/(x+1)/(x^2-4*x+1)/(x^2-2*x-5) lgdogf] A195531 5.75852 [(4591*f(x)+1173)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+x^2+f(x)-2*x-5) ogf] A195531 5.91006 [{-a(n+3)+3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=17,a(2)=65} ogf] A195531 6.73747 [-(-x^4+4*x^3+6*x^2-28*x-17)/(-x^5+5*x^4+2*x^3-22*x^2-13*x+5) lgdogf] A195538 8.10555 [-(x^4-30*x^2+12*x+5)/(x-1)/(x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A195539 10.9603 [-(x^3-35*x-12)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A195539 6.14595 [(4704360*f(x)-948631)*(f(x)*x^4-34*f(x)*x^2+x^3+f(x)-35*x-12) ogf] A195539 8.49261 [-(35+816*x-48*x^3+x^6-71*x^4+1187*x^2)/(x^2+6*x+1)/(x^2-6*x+1)/(x^3-35*x-12) lgdogf] A195540 6.92227 [-(x^5+x^4-34*x^3-22*x^2+37*x+13)/(x-1)/(x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A195547 7.88001 [(x^6+4*x^5+12*x^4-2*x^3+12*x^2+4*x+1)/(x+1)/(x^2-3*x+1)/(x^2-x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A195548 7.28829 [-x*(x^7-x^6-20*x^4+12*x^3-8*x^2-5*x-3)/(x+1)/(x^2-3*x+1)/(x^2-x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A195549 8.35058 [-(x^5+x^4+x^3-13*x^2-5*x-1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A195552 6.72255 [-(x^5+x^4+5*x^3-1189*x^2-109*x-5)/(x^2-11*x+1)/(x^4+11*x^3+120*x^2+11*x+1) ogf] A195555 6.55882 [-(x^5+x^4+13*x^3-18901*x^2-701*x-13)/(x^2-27*x+1)/(x^4+27*x^3+728*x^2+27*x+1) ogf] A195556 6.43776 [(x^6+12*x^5+24*x^4-2*x^3+24*x^2+12*x+1)/(x+1)/(x^2-x+1)/(x^6-38*x^3+1) ogf] A195557 6.39325 [-x*(x^7-x^6-42*x^4+30*x^3-12*x^2-7*x-5)/(x+1)/(x^2-x+1)/(x^6-38*x^3+1) ogf] A195558 7.93224 [-(x^5+x^4+x^3-25*x^2-13*x-1)/(x^6-38*x^3+1) ogf] A195561 5.15116 [-(x^9+x^8+x^7+5*x^6+109*x^5-1009*x^4-289*x^3-109*x^2-5*x-1)/(x^10-1298*x^5+1) ogf] A195562 6.11877 [(x^6+24*x^5+40*x^4-2*x^3+40*x^2+24*x+1)/(x+1)/(x^2-x+1)/(x^6-66*x^3+1) ogf] A195563 6.02630 [-x*(x^7-x^6-72*x^4+56*x^3-16*x^2-9*x-7)/(x+1)/(x^2-x+1)/(x^6-66*x^3+1) ogf] A195564 7.50277 [-(x^5+x^4+x^3-41*x^2-25*x-1)/(x^6-66*x^3+1) ogf] A195567 5.27440 [-(x^9+x^8+5*x^7+5*x^6+325*x^5-3649*x^4-449*x^3-325*x^2-5*x-5)/(x^10-4098*x^5+1) ogf] A195568 5.97522 [(3*x^6+8*x^5+120*x^4-134*x^3+120*x^2+8*x+3)/(x+1)/(x^2-x+1)/(x^6-258*x^3+1) ogf] A195569 5.27881 [-(x^8-x^7-4*x^6-272*x^5+48*x^4-88*x^3-209*x^2-15*x-4)/(x+1)/(x^2-x+1)/(x^6-258*x^3+1) ogf] A195570 7.68210 [-(x^5+x^4+5*x^3-241*x^2-17*x-5)/(x^6-258*x^3+1) ogf] A195571 6.48001 [(x^6+40*x^5+60*x^4-2*x^3+60*x^2+40*x+1)/(x+1)/(x^2-x+1)/(x^6-102*x^3+1) ogf] A195572 5.75790 [-x*(x^7-x^6-110*x^4+90*x^3-20*x^2-11*x-9)/(x+1)/(x^2-x+1)/(x^6-102*x^3+1) ogf] A195573 7.30940 [-(x^5+x^4+x^3-61*x^2-41*x-1)/(x^6-102*x^3+1) ogf] A195590 12.5860 [-4*(x^2-2*x+2)/(2*x-1)^2/(x-1) ogf] A195590 15.7141 [-(-8+14*x+2*x^3-7*x^2)/(x-1)/(2*x-1)/(x^2-2*x+2) lgdogf] A195590 6.56191 [(2390*f(x)-4593)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-8*x+8) ogf] A195590 6.67603 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=8,a(1)=32,a(2)=100} ogf] A195590 9.36273 [-(2*x^3-7*x^2+14*x-8)/(2*x^4-7*x^3+11*x^2-8*x+2) lgdogf] A195591 11.3294 [-(45-61*x-18*x^3+4*x^4+12*x^2)/(x-1)/(2*x-1)/(2*x^3-6*x^2+3*x-8) lgdogf] A195591 4.73248 [(47559983*f(x)+392125661)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+4*x^3-6*f(x)*x-12*x^2+f(x)+6*x-16) ogf] A195591 7.09873 [-(-4*x^4+18*x^3-12*x^2+61*x-45)/(-4*x^5+18*x^4-26*x^3+31*x^2-27*x+8) lgdogf] A195591 9.11442 [-2*(2*x^3-6*x^2+3*x-8)/(2*x-1)^2/(x-1)^2 ogf] A195592 7.46105 [-4*(x^4-4*x^3+9*x^2+8*x+8)/(2*x-1)^2/(x-1)^3 ogf] A195592 9.64569 [-(-64+30*x+42*x^3+2*x^5-11*x^4+67*x^2)/(x-1)/(2*x-1)/(x^4-4*x^3+9*x^2+8*x+8) lgdogf] A195593 5.85291 [-2*(2*x^5-10*x^4+15*x^3-100*x^2-110*x-32)/(2*x-1)^2/(x-1)^4 ogf] A195594 5.07016 [-2*(2*x^6-12*x^5+35*x^4+111*x^3+711*x^2+475*x+64)/(2*x-1)^2/(x-1)^5 ogf] A195595 4.26414 [-2*(2*x^7-14*x^6+35*x^5-294*x^4-2380*x^3-4592*x^2-1750*x-128)/(2*x-1)^2/(x-1)^6 ogf] A195605 12.2395 [(x^3-4*x^2-3*x-2)/(x+1)/(x-1)^3 ogf] A195605 14.5431 [-(-7-22*x-6*x^3+x^4-14*x^2)/(x-1)/(x+1)/(x^3-4*x^2-3*x-2) lgdogf] A195605 6.81069 [(184*f(x)-1455)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+4*x^2-f(x)+3*x+2) ogf] A195605 8.61760 [-(x^4-6*x^3-14*x^2-22*x-7)/(x^5-4*x^4-4*x^3+2*x^2+3*x+2) lgdogf] A195612 6.71693 [-(x^5+x^4+5*x^3-3329*x^2-769*x-5)/(x^6-4098*x^3+1) ogf] A195614 14.0343 [8/(x+1)/(x^2-18*x+1) ogf] A195614 16.4484 [-(-17-34*x+3*x^2)/(x+1)/(x^2-18*x+1) lgdogf] A195614 5.07121 [{a(n+3)-17*a(n+2)-17*a(n+1)+a(n),a(0)=8,a(1)=136,a(2)=2448} ogf] A195614 5.58773 [(103987*f(x)+424)*(f(x)*x^3-17*f(x)*x^2-17*f(x)*x+f(x)-8) ogf] A195614 8.87462 [-(-3*x^2+34*x+17)/(-x^3+17*x^2+17*x-1) lgdogf] A195615 4.90191 [(7071113*f(x)+430922)*(f(x)*x^3-17*f(x)*x^2-17*f(x)*x+x^2+f(x)-18*x-15) ogf] A195615 5.14700 [{a(n+3)-17*a(n+2)-17*a(n+1)+a(n),a(0)=15,a(1)=273,a(2)=4895} ogf] A195615 9.47355 [-(273+508*x-36*x^3+x^4+278*x^2)/(x+1)/(x^2-18*x+1)/(x^2-18*x-15) lgdogf] A195615 9.50215 [-(x^2-18*x-15)/(x+1)/(x^2-18*x+1) ogf] A195616 12.8017 [12/(x+1)/(x^2-38*x+1) ogf] A195616 15.3456 [-(-37-74*x+3*x^2)/(x+1)/(x^2-38*x+1) lgdogf] A195616 4.65516 [{a(n+3)-37*a(n+2)-37*a(n+1)+a(n),a(0)=12,a(1)=444,a(2)=16872} ogf] A195616 5.16766 [(693589*f(x)+452)*(f(x)*x^3-37*f(x)*x^2-37*f(x)*x+f(x)-12) ogf] A195616 8.28344 [-(-3*x^2+74*x+37)/(-x^3+37*x^2+37*x-1) lgdogf] A195617 4.51342 [(307953508*f(x)+8503647)*(f(x)*x^3-37*f(x)*x^2-37*f(x)*x+x^2+f(x)-38*x-35) ogf] A195617 4.77239 [{a(n+3)-37*a(n+2)-37*a(n+1)+a(n),a(0)=35,a(1)=1333,a(2)=50615} ogf] A195617 8.52834 [-(1333+2588*x-76*x^3+x^4+1338*x^2)/(x+1)/(x^2-38*x+1)/(x^2-38*x-35) lgdogf] A195617 8.95740 [-(x^2-38*x-35)/(x+1)/(x^2-38*x+1) ogf] A195619 12.4156 [16/(x+1)/(x^2-66*x+1) ogf] A195619 14.4792 [-(-65-130*x+3*x^2)/(x+1)/(x^2-66*x+1) lgdogf] A195619 4.47775 [{a(n+3)-65*a(n+2)-65*a(n+1)+a(n),a(0)=16,a(1)=1040,a(2)=68640} ogf] A195619 4.87754 [(18961603*f(x)+3152)*(f(x)*x^3-65*f(x)*x^2-65*f(x)*x+f(x)-16) ogf] A195619 7.91717 [-(-3*x^2+130*x+65)/(-x^3+65*x^2+65*x-1) lgdogf] A195620 4.31113 [(4930016765*f(x)+76877078)*(f(x)*x^3-65*f(x)*x^2-65*f(x)*x+x^2+f(x)-66*x-63) ogf] A195620 4.59154 [{a(n+3)-65*a(n+2)-65*a(n+1)+a(n),a(0)=63,a(1)=4161,a(2)=274559} ogf] A195620 8.15004 [-(4161+8188*x-132*x^3+x^4+4166*x^2)/(x+1)/(x^2-66*x+1)/(x^2-66*x-63) lgdogf] A195620 8.68860 [-(x^2-66*x-63)/(x+1)/(x^2-66*x+1) ogf] A195622 13.0232 [20/(x+1)/(x^2-102*x+1) ogf] A195622 15.0900 [-(-101-202*x+3*x^2)/(x+1)/(x^2-102*x+1) lgdogf] A195622 4.79254 [{a(n+3)-101*a(n+2)-101*a(n+1)+a(n),a(0)=20,a(1)=2020,a(2)=206040} ogf] A195622 5.20927 [(108211903*f(x)+6100)*(f(x)*x^3-101*f(x)*x^2-101*f(x)*x+f(x)-20) ogf] A195622 8.32038 [-(-3*x^2+202*x+101)/(-x^3+101*x^2+101*x-1) lgdogf] A195623 3.96058 [(43717608788*f(x)+436805231)*(f(x)*x^3-101*f(x)*x^2-101*f(x)*x+x^2+f(x)-102*x-99) ogf] A195623 4.24126 [{a(n+3)-101*a(n+2)-101*a(n+1)+a(n),a(0)=99,a(1)=10101,a(2)=1030199} ogf] A195623 7.92118 [-(x^2-102*x-99)/(x+1)/(x^2-102*x+1) ogf] A195657 3.67551 [-4*(x^8-8*x^7+35*x^6+116*x^5+3555*x^4+13848*x^3+13073*x^2+2976*x+128)/(2*x-1)^2/(x-1)^7 ogf] A195679 16.0061 [-(-2+5*x^10-14*x^8-16*x^7+7*x^6+3*x^2+x^14)/(x-1)/(x+1)/(1+x^2)/(x^7+x^3-2*x-2)/(x^4+1) lgdogf] A195679 16.5991 [(x^7+x^3-2*x-2)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A195744 16.1376 [-(32*x-31)/(2*x-1)/(x-1) ogf] A195744 17.7348 [-(61-124*x+64*x^2)/(x-1)/(32*x-31)/(2*x-1) lgdogf] A195744 7.98386 [-(59*f(x)+1892)*(2*f(x)*x^2-3*f(x)*x+f(x)+32*x-31) ogf] A195744 9.02938 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=31,a(1)=61} ogf] A195760 26.9182 [4*x^24+4*x^4+5 ogf_with_Euler_transform] A195817 13.2609 [x*(x^2+10*x+1)/(x-1)^2/(x+1)^2 ogf] A195817 17.6052 [-2*(5+3*x+x^3+15*x^2)/(x-1)/(x+1)/(1+x^2+10*x) lgdogf] A195817 7.08771 [{(-n-3)*a(n+1)+(n+1)*a(n+3),a(0)=0,a(1)=1,a(2)=10} ogf] A195817 7.90553 [-(20*f(x)+97)*(f(x)*x^4-2*f(x)*x^2-x^3-10*x^2+f(x)-x) ogf] A195818 15.8819 [-(11+17*x+3*x^3+41*x^2)/(x-1)/(x+1)/(1+x^2+10*x) lgdogf] A195818 9.43756 [-x*(x^2+10*x+1)/(x+1)^2/(x-1)^3 ogf] A195819 12.6413 [-f(x)*x^2+2*f(x)*x-f(x)+29*x ogf] A195819 19.9600 [29*x/(x-1)^2 ogf] A195819 58.0186 [[2] ogf_with_Euler_transform] A195819 9.24976 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=29} ogf] A195824 13.1299 [-24*x*(x+1)/(x-1)^3 ogf] A195824 36.6356 [[4-x] ogf_with_Euler_transform] A195824 38.1799 [-2*(x+2)/(x-1)/(x+1) lgdogf] A195824 6.85544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=96} ogf] A195824 7.10702 [(f(x)+6)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+24*x) ogf] A195848 13.7199 [-(-x^3+x-1)/(-x^4+x^3-x+1) ogf_with_Euler_transform] A195849 15.9911 [-(-x^6-x^5-1)/(-x^7+1) ogf_with_Euler_transform] A195850 14.5407 [-(x^7+x^6+1)/(x^8-1) ogf_with_Euler_transform] A195852 14.6544 [-(-x^9-x^8-1)/(-x^10+1) ogf_with_Euler_transform] A195855 4.11439 [(110199*f(x)+46061476)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-352*x^3-7*f(x)*x+367*x^2+f(x)-94*x-1) ogf] A195855 7.64102 [(352*x^3-367*x^2+94*x+1)/(x-1)/(2*x-1)^3 ogf] A195855 8.27386 [-(-101+366*x-764*x^3+704*x^4-125*x^2)/(x-1)/(2*x-1)/(352*x^3-367*x^2+94*x+1) lgdogf] A195856 4.09298 [(6360817*f(x)+3646720026)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-432*x^3-7*f(x)*x+449*x^2+f(x)-115*x-1) ogf] A195856 7.70445 [(432*x^3-449*x^2+115*x+1)/(x-1)/(2*x-1)^3 ogf] A195856 8.33566 [-(-122+446*x-932*x^3+864*x^4-157*x^2)/(x-1)/(2*x-1)/(432*x^3-449*x^2+115*x+1) lgdogf] A195857 12.5175 [(15*x^2-6*x-1)/(2*x-1)^2/(x-1) ogf] A195857 12.8216 [-(11-24*x+30*x^3-9*x^2)/(x-1)/(2*x-1)/(15*x^2-6*x-1) lgdogf] A195857 6.57696 [(351*f(x)+40868)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-15*x^2-f(x)+6*x+1) ogf] A195857 6.80774 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=11,a(2)=32} ogf] A195858 12.5728 [(17*x^2-7*x-1)/(2*x-1)^2/(x-1) ogf] A195858 13.5406 [-(12-26*x+34*x^3-11*x^2)/(x-1)/(2*x-1)/(17*x^2-7*x-1) lgdogf] A195858 6.44227 [(7760*f(x)+1077471)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-17*x^2-f(x)+7*x+1) ogf] A195858 6.83786 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=12,a(2)=35} ogf] A195859 4.21214 [-2*x^2*(x^6+120*x^5+2157*x^4+7792*x^3+7827*x^2+2136*x+127)/(x-1)^9 ogf] A195861 12.3857 [-(-5*x+5)/(x^3+x^2+x+1) ogf_with_Euler_transform] A195861 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/8*Pi)*2^(7/8) A195878 10.9347 [(x+1)*(x^2+12*x+1)/(x^4-16*x^2+1) ogf] A195878 6.69874 [(13770*f(x)+6281)*(f(x)*x^4-16*f(x)*x^2-x^3-13*x^2+f(x)-13*x-1) ogf] A195878 9.48943 [-(-13-58*x+4*x^3+x^6+26*x^5+55*x^4-211*x^2)/(x+1)/(x^2+12*x+1)/(x^4-16*x^2+1) lgdogf] A195904 19.2660 [1/(x-1)/(2*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A195906 11.8024 [-(27*x^4+54*x^3+6*x^2+11*x+22)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A195913 6.33491 [-(3*x^5+3*x^4+14*x^3+9*x^2+x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A195913 6.50832 [-(3+21*x+41*x^3+6*x^7+12*x^6+62*x^5+77*x^4+66*x^2)/(x-1)/(1+x^2+x)/(3*x^5+3*x^4+14*x^3+9*x^2+x+2) lgdogf] A195917 7.45711 [-(5+510*x-2036*x^3+3*x^6+14*x^5-261*x^4+253*x^2)/(x-1)/(x^2-16*x+1)/(x^2+4*x+1)/(x^2+16*x+1) lgdogf] A195917 7.89645 [-24*(x^2+4*x+1)*x/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A195938 17.6343 [-4*x^3*(3+x^4)/(x-1)/(x+1)/(x^2+1)/(x^4+1) lgdogf] A195938 20.1553 [-x^7+3*x^3 ogf_with_Euler_transform] A195938 9.53543 [x*(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A195945 3.29584 [(13*f(x)*x-f(x)+1)^2 ogf] A195948 10.8439 [(5*f(x)*x-f(x)+1)^2 ogf] A195956 8.43900 [-(8*x^5+2*x^4+4*x^3-5*x^2-1)/(x-1)/(x^2+x+1)/(2*x^3+x-1) ogf] A195964 5.36692 [-(2*x^10+x^9+5*x^8+4*x^7+x^6-7*x^5-6*x^4-3*x^3-5*x^2-2*x-2)/(x^9-4*x^6-2*x^5-2*x^4-2*x^3+1) ogf] A195971 11.4164 [-x*(x+1)^2/(x^2+1)/(x^2+x-1) ogf] A195971 14.9703 [-(3-x+5*x^3+2*x^4+3*x^2)/(x+1)/(1+x^2)/(x^2+x-1) lgdogf] A195971 6.13279 [-(159*f(x)-5)*(f(x)*x^4+f(x)*x^3+x^3+f(x)*x+2*x^2-f(x)+x) ogf] A195972 6.21602 [-(2*x^4+3*x^3+x^2+3*x-3)*(x+1)^2/(x^2+1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A196012 8.00365 [-(x-1)*(6*x^4+5*x^3+x^2+x+1)/(2*x^6+x^5-3*x^4-x^2-x+1) ogf] A196013 3.58826 [(2*x^13-2*x^12-6*x^11-2*x^10+3*x^9-x^8+8*x^7+x^6+9*x^5+15*x^4-12*x^3-4*x^2-1)/(x^10-3*x^8-3*x^7-2*x^6-4*x^5-x^4+4*x^3+2*x^2+x-1) ogf] A196072 10.1451 [-x*(3*x^3-x^2+2*x+1)/(2*x^5+x^3+x^2-1) ogf] A196072 10.4554 [-2*(6*x^5-3*x^4+2*x^3+6*x^2+1)*(1+x^2)/(3*x^3-x^2+2*x+1)/(2*x^5+x^3+x^2-1) lgdogf] A196081 6.75468 [(x^5-9*x^4+x^2+10)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A196132 5.42659 [-x*(4*x^7-6*x^5+3*x^4+3*x^3+4*x^2-3*x-4)/(x-1)/(2*x^8+2*x^7-2*x^6-x^5+2*x^4+4*x^3+2*x^2-x-1) ogf] A196140 7.54692 [(x^5-x^4+2*x^3+2*x^2+x-3)/(x-1)/(x^5-2*x^3-x^2-x+1) ogf] A196141 3.88750 [-(12*x^10+4*x^9+14*x^8-4*x^6-5*x^5-11*x^4+17*x^3-9*x^2-4*x+4)/(6*x^12+2*x^11+4*x^10+x^9-7*x^8-x^6+3*x^5-3*x^4+x^3-2*x^2+3*x-1) ogf] A196204 7.99838 [-(5-4*x+4*x^3+x^8+10*x^7+11*x^6+8*x^5-6*x^4-11*x^2)/(1+x^2+x)/(x^2+4*x-3)/(x^2+x-1)/(x^3+x-1) lgdogf] A196204 9.84796 [-(x^2+x+1)*(x^2+4*x-3)/(x^2+x-1)/(x^3+x-1) ogf] A196205 5.05356 [-(2*x^8+x^7-7*x^6+8*x^5-3*x^4+9*x^3-9*x^2-4*x+4)/(x-1)/(x^3+x-1)/(x^5-x^4+x^2+x-1) ogf] A196212 3.93219 [-(3*x^6+15*x^5-4*x^4-16*x^3-7*x^2-3*x+3)*(x+1)^2/(x^4+7*x^3+x-1)/(x^6+x^5-2*x^4-4*x^3-5*x^2-x+1) ogf] A196221 67.7221 [-99/(-1+9*x) lgdogf] A196221 7.70507 [{(-n-2)*a(n+2)+(108+9*n)*a(n+1),a(0)=1,a(1)=99} ogf] A196258 12.8955 [-11*f(x)*x+f(x)-1 egf] A196258 24.6186 [-1/(11*x-1) egf] A196258 40.8291 [-11/(-1+11*x) lgdegf] A196258 5.95176 [{(-11*n-22)*a(n+1)+a(n+2),a(0)=1,a(1)=11} ogf] A196279 8.09637 [x*(x^9+x^8+x^7-2*x^6+x^5+x^4-2*x^3+x^2+x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A196280 57.3257 [-80/(-1+8*x) lgdogf] A196280 6.59877 [{(-n-2)*a(n+2)+(88+8*n)*a(n+1),a(0)=1,a(1)=80} ogf] A196288 4.05155 [-2*x*(127*x^6+2136*x^5+7827*x^4+7792*x^3+2157*x^2+120*x+1)/(x-1)^9 ogf] A196289 3.78255 [{(-16*n^3-135*n^2-387*n-378)*a(n+1)+(32*n^3+192*n^2+912*n+1312)*a(n+2)+(-16*n^3-57*n^2-75*n-34)*a(n+3),a(0)=0,a(1)=0,a(2)=510} ogf] A196289 4.16657 [30*x^2*(17*x^6+486*x^5+2943*x^4+5204*x^3+2943*x^2+486*x+17)/(x-1)^10 ogf] A196290 3.95814 [2*x*(x^8+247*x^7+7318*x^6+44089*x^5+78130*x^4+44089*x^3+7318*x^2+247*x+1)/(x-1)^10 ogf] A196291 3.54164 [-2*x^2*(x^8+502*x^7+23938*x^6+227554*x^5+655240*x^4+655114*x^3+227638*x^2+23902*x+511)/(x-1)^11 ogf] A196292 3.39339 [-2*x*(511*x^8+23902*x^7+227638*x^6+655114*x^5+655240*x^4+227554*x^3+23938*x^2+502*x+1)/(x-1)^11 ogf] A196294 4.10718 [-(2*x^6+15*x^5-3*x^4-16*x^3-7*x^2-3*x+3)*(x+1)^2/(x^4+7*x^3+x-1)/(x^5-x^4-4*x^3-5*x^2-x+1) ogf] A196305 16.5124 [-(13*x-14)/(2*x-1)/(x-1) ogf] A196305 18.1511 [-(59-116*x+56*x^2)/(x-1)/(28*x-29)/(2*x-1) lgdogf] A196305 8.62312 [(31*f(x)+407)*(2*f(x)*x^2-3*f(x)*x+f(x)+13*x-14) ogf] A196305 9.23907 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=14,a(1)=29} ogf] A196316 7.86055 [-(7+6*x+30*x^3+6*x^7-3*x^6-24*x^5+3*x^4+8*x^2)/(x^2+x+1)/(x^3-x^2-2*x+1)/(3*x^3-x^2-6*x-1) lgdogf] A196316 9.36434 [-(3*x^3-x^2-6*x-1)/(x^2+x+1)/(x^3-x^2-2*x+1) ogf] A196317 3.39953 [(2*x^10-3*x^9-21*x^8-26*x^7-3*x^6+20*x^5+5*x^4-6*x^3+4*x^2+6*x+2)/(2*x^11+9*x^10+10*x^9+x^8-7*x^7-3*x^6+2*x^5-4*x^4-2*x^3-3*x^2-2*x+1) ogf] A196324 4.63476 [-(x^8+6*x^7+8*x^6-x^4-x^3-11*x^2-8*x-2)/(x+1)/(x^8+x^7-x^6+x^4-4*x^3-x^2-2*x+1) ogf] A196368 6.03493 [(x^11-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A196382 10.9254 [-x^2*(x-2)/(x^3+x-1)/(x-1) ogf] A196382 15.2332 [-(3-4*x-10*x^3+3*x^4+7*x^2)/(x-2)/(x-1)/(x^3+x-1) lgdogf] A196382 5.58411 [-(17*f(x)+35)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)) ogf] A196410 10.0922 [(65*f(x)+971)*(4*f(x)*x^2-4*f(x)*x+f(x)+8*x-5) ogf] A196410 10.7002 [{-a(n+2)+4*a(n+1)-4*a(n),a(0)=5,a(1)=12} ogf] A196410 19.7359 [-(8*x-5)/(2*x-1)^2 ogf] A196410 32.3751 [-4*(-3+4*x)/(2*x-1)/(8*x-5) lgdogf] A196423 13.1967 [-(3+x+7*x^3+2*x^4+9*x^2)/(x+1)/(x^4+3*x^3+x^2+x-1) lgdogf] A196423 4.98842 [(10337*f(x)-582)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+2*x+1) ogf] A196423 9.75997 [-(x+1)^2/(x^4+3*x^3+x^2+x-1) ogf] A196431 4.73695 [-(x+1)*(x^7-x^6-4*x^5-4*x^4+4*x^3+4*x^2+3*x+3)/(x^9-x^8-5*x^7-5*x^6+4*x^5+6*x^4+5*x^3+3*x^2+x-1) ogf] A196450 6.32081 [-(x^6+9*x^5+5*x^4+7*x^3-2*x^2-3)/(x^7+5*x^6+3*x^5+2*x^4-3*x^3-2*x+1) ogf] A196468 10.8104 [-(53-20*x+16*x^3+40*x^4-82*x^2)/(x-1)/(4*x^2+4*x-1)/(10*x^2+2*x-11) lgdogf] A196468 13.3971 [-(10*x^2+2*x-11)/(x-1)/(4*x^2+4*x-1) ogf] A196468 7.22393 [(5700*f(x)-49511)*(4*f(x)*x^3-5*f(x)*x+10*x^2+f(x)+2*x-11) ogf] A196468 7.51878 [{-a(n+3)+5*a(n+2)-4*a(n),a(0)=11,a(1)=53,a(2)=255} ogf] A196472 5.24541 [-(33*f(x)-14)*(3*f(x)*x^3-4*f(x)*x+x^2+f(x)+x-1) ogf] A196472 5.46626 [{a(n+3)-4*a(n+2)+3*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A196472 9.05233 [-(3-2*x+6*x^3+3*x^4-5*x^2)/(x-1)/(3*x^2+3*x-1)/(x^2+x-1) lgdogf] A196472 9.79802 [-(x^2+x-1)/(x-1)/(3*x^2+3*x-1) ogf] A196479 5.50775 [-(3*x^7-3*x^6+3*x^5+4*x^4+4*x^3-2*x^2-3)/(x^8-x^7+x^6+3*x^5+3*x^4-4*x^3-2*x+1) ogf] A196488 4.67871 [-(x^7+3*x^6+8*x^5+9*x^4+5*x^3+5*x^2+2*x+1)/(x^8+4*x^7+9*x^6+15*x^5+10*x^4+6*x^3+x^2+x-1) ogf] A196506 14.7478 [-2*(20+25*x+x^3-6*x^2)/(x-1)/(x^3-5*x^2+15*x+5) lgdogf] A196506 4.59833 [{(2*n+9)*a(n+1)+(-4*n-12)*a(n+2)+(2*n+3)*a(n+3),a(0)=0,a(1)=15,a(2)=120} ogf] A196506 7.48452 [-3*x*(x^3-5*x^2+15*x+5)/(x-1)^5 ogf] A196507 18.8941 [-(-25-13*x+2*x^2)/(x-1)/(x^2-5*x-5) lgdogf] A196507 3.61269 [{(-15-5*n)*a(n+4)+25*a(n+3)+(19+6*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=10,a(2)=50,a(3)=138} ogf] A196507 4.60247 [-(1677*f(x)+19064)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-10*x^2+f(x)-10*x) ogf] A196507 8.95948 [-2*x*(x^2-5*x-5)/(x-1)^4 ogf] A196508 12.7310 [-(-5+12*x+8*x^3-14*x^2)/(x-1)/(2*x-1)/(2*x^2-2*x+1) lgdogf] A196508 4.67495 [-(29*f(x)+18)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-8*x^3-7*f(x)*x+8*x^2+f(x)-4*x) ogf] A196508 8.78891 [4*x*(2*x^2-2*x+1)/(x-1)/(2*x-1)^3 ogf] A196512 10.3612 [-28*f(x)*x+f(x)+9*x-1 ogf] A196512 12.5426 [(9*x-1)/(28*x-1) ogf] A196512 24.5150 [19/(28*x-1)/(9*x-1) lgdogf] A196512 6.44077 [{a(n+2)-28*a(n+1),a(0)=1,a(1)=19} ogf] A196513 13.0364 [-(154+294*x+8*x^3-51*x^2)/(x-1)/(4*x^3-21*x^2+84*x+14) lgdogf] A196513 4.63812 [{(3*n+13)*a(n+1)+(-6*n-17)*a(n+2)+(3*n+4)*a(n+3),a(0)=0,a(1)=28,a(2)=308} ogf] A196513 7.51863 [-2*x*(4*x^3-21*x^2+84*x+14)/(x-1)^5 ogf] A196514 12.5242 [4*x/(x-1)/(2*x-1)^3 ogf] A196514 29.5193 [-(-7+8*x)/(2*x-1)/(x-1) lgdogf] A196514 4.56179 [{(n+2)*a(n+3)+(-10-3*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=0,a(1)=4,a(2)=28} ogf] A196514 5.69281 [(73*f(x)+76)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2-7*f(x)*x+f(x)-4*x) ogf] A196537 4.77465 [(257209*f(x)+88655)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2-x^3+f(x)*x-2*x^2-f(x)+2*x+1) ogf] A196537 9.05325 [(x-1)*(x^2+3*x+1)/(x^4+3*x^3+x^2+x-1) ogf] A196537 9.11152 [-(-3+2*x-18*x^3+x^6+4*x^5-x^4-10*x^2)/(x-1)/(x^2+3*x+1)/(x^4+3*x^3+x^2+x-1) lgdogf] A196563 8.14820 [-(x^21+x^20+x^10+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A196564 9.27481 [-x*(2*x^10+x^9+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A196570 7.35307 [-2*x*(x^4-x^3-2*x^2+x+2)/(x+1)/(2*x^5-4*x^4+2*x^2+2*x-1) ogf] A196573 6.64524 [(x^5-3*x^4-4*x^3+8*x^2+x+1)/(x+1)/(x^5-x^4-4*x^3+x^2-3*x+1) ogf] A196574 3.42521 [-(x^9+x^8-10*x^7+13*x^6-55*x^5+55*x^4-31*x^3+14*x^2+5*x+1)/(x^10-4*x^9+x^8-17*x^7+32*x^6+12*x^5+20*x^4+39*x^3+9*x^2+2*x-1) ogf] A196584 5.87572 [-(3*x^5+7*x^4+x^3-7*x^2-6*x-1)/(x^7+2*x^6+x^5+3*x^4-4*x^3-6*x^2-x+1) ogf] A196593 11.1506 [-2*(-1+3*x+7*x^3+4*x^5-7*x^2)/(x-1)/(2*x-1)/(4*x^4-6*x^3+8*x^2-4*x+1) lgdogf] A196593 8.24481 [-(4*x^4-6*x^3+8*x^2-4*x+1)/(2*x-1)/(x-1)^4 ogf] A196596 7.74278 [-(4*x^3-8*x^2-x-1)/(x^5-x^4-3*x^3-2*x^2-2*x+1) ogf] A196597 4.02259 [-(x^7+4*x^6-16*x^5+15*x^4-18*x^3+14*x^2+5*x+1)/(x^8-5*x^7+6*x^6-3*x^5-9*x^4+10*x^3+9*x^2+2*x-1) ogf] A196630 11.3024 [-(3*x^3-1)/(x^4-x^3-x^2-2*x+1) ogf] A196630 11.6299 [-(2+2*x+8*x^3+3*x^6+3*x^4-6*x^2)/(x^4-x^3-x^2-2*x+1)/(3*x^3-1) lgdogf] A196630 5.5656 [(5033*f(x)-13039)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+3*x^3-2*f(x)*x+f(x)-1) ogf] A196631 4.35495 [(x^9-6*x^8-4*x^7+10*x^6-30*x^5+21*x^4-5*x^3+6*x^2+2*x+1)/(4*x^9+x^8+12*x^6-5*x^5-5*x^4-4*x^3-3*x+1) ogf] A196655 15.9051 [-(80*x-73)/(2*x-1)/(x-1) ogf] A196655 16.6834 [-(139-292*x+160*x^2)/(x-1)/(2*x-1)/(80*x-73) lgdogf] A196655 7.70659 [-(125*f(x)+10196)*(2*f(x)*x^2-3*f(x)*x+f(x)+80*x-73) ogf] A196655 8.79460 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=73,a(1)=139} ogf] A196657 15.8744 [-(128*x-127)/(2*x-1)/(x-1) ogf] A196657 16.6169 [-(253-508*x+256*x^2)/(x-1)/(2*x-1)/(128*x-127) lgdogf] A196657 7.85702 [-(251*f(x)+32132)*(2*f(x)*x^2-3*f(x)*x+f(x)+128*x-127) ogf] A196657 9.04472 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=127,a(1)=253} ogf] A196661 15.6613 [-7*f(x)*x+f(x)+2*x-1 ogf] A196661 19.0475 [(2*x-1)/(7*x-1) ogf] A196661 40.7290 [5/(7*x-1)/(2*x-1) lgdogf] A196661 9.78829 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=5} ogf] A196662 15.5535 [-10*f(x)*x+f(x)+3*x-1 ogf] A196662 18.8279 [(3*x-1)/(10*x-1) ogf] A196662 39.0713 [7/(10*x-1)/(3*x-1) lgdogf] A196662 9.80085 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=7} ogf] A196663 15.7602 [-13*f(x)*x+f(x)+4*x-1 ogf] A196663 19.0781 [(4*x-1)/(13*x-1) ogf] A196663 39.6102 [9/(13*x-1)/(4*x-1) lgdogf] A196663 9.93105 [{a(n+2)-13*a(n+1),a(0)=1,a(1)=9} ogf] A196664 15.1063 [-16*f(x)*x+f(x)+5*x-1 ogf] A196664 18.2865 [(5*x-1)/(16*x-1) ogf] A196664 35.9532 [11/(16*x-1)/(5*x-1) lgdogf] A196664 9.39038 [{a(n+2)-16*a(n+1),a(0)=1,a(1)=11} ogf] A196665 14.0749 [-19*f(x)*x+f(x)+6*x-1 ogf] A196665 17.0380 [(6*x-1)/(19*x-1) ogf] A196665 33.4674 [13/(19*x-1)/(6*x-1) lgdogf] A196665 8.74923 [{a(n+2)-19*a(n+1),a(0)=1,a(1)=13} ogf] A196666 14.5775 [-22*f(x)*x+f(x)+7*x-1 ogf] A196666 17.6465 [(7*x-1)/(22*x-1) ogf] A196666 34.6844 [15/(22*x-1)/(7*x-1) lgdogf] A196666 9.06170 [{a(n+2)-22*a(n+1),a(0)=1,a(1)=15} ogf] A196676 11.6931 [-25*f(x)*x+f(x)+8*x-1 ogf] A196676 14.1548 [(8*x-1)/(25*x-1) ogf] A196676 27.7259 [17/(25*x-1)/(8*x-1) lgdogf] A196676 7.26868 [{a(n+2)-25*a(n+1),a(0)=1,a(1)=17} ogf] A196678 3.87110 [{(256*n^3+1920*n^2+4784*n+3960)*a(n+1)+(-27*n^3-243*n^2-708*n-660)*a(n+2),a(0)=1,a(1)=5} ogf] A196690 4.80268 [(20654*f(x)-33233)*(f(x)*x^4-2*x^4-3*f(x)*x^2+3*x^3-2*f(x)*x+5*x^2+f(x)-x-2) ogf] A196690 7.94162 [(5+2*x+12*x^3+3*x^6-2*x^5-6*x^4+4*x^2)/(2*x^4-3*x^3-5*x^2+x+2)/(x^4-3*x^2-2*x+1) lgdogf] A196690 8.42029 [(2*x^4-3*x^3-5*x^2+x+2)/(x^4-3*x^2-2*x+1) ogf] A196700 10.3747 [(x^3-x^2-x-1)/(x^3+x^2+x-1) ogf] A196700 14.9308 [2*(1+2*x+2*x^3+x^4)/(x^3+x^2+x-1)/(x^3-x^2-x-1) lgdogf] A196700 5.42311 [{-a(n+4)+a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A196700 7.37991 [f(x)*x^3+f(x)*x^2-x^3+f(x)*x+x^2-f(x)+x+1 ogf] A196701 4.76707 [(2*x^7-x^6-7*x^5-6*x^4-22*x^3-19*x^2-9*x-2)/(2*x^7+2*x^6-x^5+9*x^4+16*x^3+4*x^2+x-1) ogf] A196731 10.8401 [-12*f(x)*x+f(x)+x-1 ogf] A196731 13.1222 [(x-1)/(12*x-1) ogf] A196731 28.6654 [11/(12*x-1)/(x-1) lgdogf] A196731 6.73845 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=11} ogf] A196741 4.56844 [-(2*x^7-2*x^6-10*x^5+2*x^4+4*x^3+9*x^2+x+1)/(x^8-5*x^7+4*x^6-11*x^5+2*x^4+12*x^3+5*x^2+2*x-1) ogf] A196781 5.87572 [-(4*x^5-8*x^4+5*x^3-9*x^2-x-1)/(2*x^7-2*x^6-6*x^5-3*x^4-4*x^3-2*x^2-2*x+1) ogf] A196782 3.24061 [-(3*x^9+12*x^8-17*x^7+x^6-47*x^5+13*x^4-18*x^3+15*x^2+5*x+1)/(3*x^10-13*x^9+13*x^8-14*x^7-28*x^6-6*x^5-x^4+15*x^3+10*x^2+2*x-1) ogf] A196789 4.41240 [-(11*x^5+165*x^4+462*x^3+330*x^2+55*x+1)/(x-1)^11 ogf] A196789 6.27780 [{(2*n^2+27*n+91)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=66} ogf] A196789 9.25777 [-22*(x+3)*(3*x+1)*(x+1)*(x^2+14*x+1)/(x-1)/(11*x^5+165*x^4+462*x^3+330*x^2+55*x+1) lgdogf] A196790 3.69092 [-(x^5+55*x^4+330*x^3+462*x^2+165*x+11)/(x-1)^11 ogf] A196790 5.08591 [{(2*n^2+29*n+105)*a(n+1)+(-2*n^2-9*n-10)*a(n+2),a(0)=11,a(1)=286} ogf] A196790 6.96010 [-2*(143+1287*x+1430*x^3+3*x^5+195*x^4+2574*x^2)/(x-1)/(x^5+55*x^4+330*x^3+462*x^2+165*x+11) lgdogf] A196791 12.2072 [-(11*x-1)/(12*x-1)/(x-1) ogf] A196791 13.6706 [-2*(1-12*x+66*x^2)/(x-1)/(12*x-1)/(11*x-1) lgdogf] A196791 6.23344 [-(37*f(x)-33)*(12*f(x)*x^2-13*f(x)*x+f(x)+11*x-1) ogf] A196791 6.97552 [{a(n+2)-13*a(n+1)+12*a(n),a(0)=1,a(1)=2} ogf] A196792 12.4525 [-(12*x-1)/(13*x-1)/(x-1) ogf] A196792 13.9510 [-2*(1-13*x+78*x^2)/(x-1)/(13*x-1)/(12*x-1) lgdogf] A196792 6.49697 [-(f(x)+1)*(13*f(x)*x^2-14*f(x)*x+f(x)+12*x-1) ogf] A196792 7.11573 [{a(n+2)-14*a(n+1)+13*a(n),a(0)=1,a(1)=2} ogf] A196794 33.4394 [exp(x)*(exp(-x)+2+2*x) lgdegf] A196795 32.2442 [exp(x)*(exp(-x)+3+3*x) lgdegf] A196804 6.28138 [(4*x^5-12*x^4-4*x^3+8*x^2+x+1)/(4*x^6-3*x^5-17*x^4-3*x^3-2*x^2-2*x+1) ogf] A196834 73.3954 [5+exp(x) lgdegf] A196835 97.3711 [5-exp(x) lgdegf] A196836 5.11987 [(54*f(x)+317)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+25*x^3-10*f(x)*x-35*x^2+f(x)+15*x-2) ogf] A196836 8.95977 [-(5*x-2)*(5*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A196850 4.75547 [(6*x^7-x^6-2*x^5-x^4-20*x^3-19*x^2-9*x-2)/(2*x^7+2*x^6-3*x^5+10*x^4+17*x^3+4*x^2+x-1) ogf] A196858 6.39541 [-(x^5-2*x^4+2*x^3-2*x^2-x-1)/(x^6-2*x^5+2*x^4-3*x^3+x^2-2*x+1) ogf] A196859 3.60983 [-(3*x^9+5*x^8+6*x^7+13*x^6+11*x^5-2*x^4-x^3-x^2-x-1)/(3*x^10+8*x^9+8*x^8+6*x^7+3*x^6-x^5+x^4-2*x^3+x^2-3*x+1) ogf] A196864 3.04875 [{(17496*n^2+5832*n)*a(n)+(972*n^2+3240*n+2376)*a(n+1)+(54*n^2+180*n+132)*a(n+2)+(3*n^2+19*n+30)*a(n+3),a(0)=1,a(1)=3,a(2)=-9} ogf] A196865 3.04875 [{(17496*n^2-5832*n)*a(n)+(-972*n^2-2592*n-1404)*a(n+1)+(54*n^2+144*n+78)*a(n+2)+(-3*n^2-17*n-24)*a(n+3),a(0)=1,a(1)=3,a(2)=18} ogf] A196875 10.2852 [(x^5-3*x^4+2*x-1)/(x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A196875 8.01674 [-(1-3*x+13*x^3-5*x^8-2*x^7-2*x^6+14*x^5-24*x^4+x^9+x^2)/(x-1)/(x^4+x^3+x^2+x-1)/(x^5-3*x^4+2*x-1) lgdogf] A196876 10.2231 [(4*x^8-6*x^7+2*x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A196899 3.67241 [(2*x^9-7*x^8-11*x^7+17*x^6+14*x^5+18*x^4-2*x^3-7*x^2-x-1)/(2*x^10+x^9-14*x^8-6*x^7+2*x^6-33*x^5-2*x^4+8*x^3+7*x^2+2*x-1) ogf] A196906 7.16802 [-(x^5+x^4-3*x^3-3*x^2-4*x-2)/(x^6-2*x^4-3*x^3-2*x^2-x+1) ogf] A196917 5.10121 [-(40799*f(x)+8101)*(f(x)*x^4-f(x)*x^3-x^4+3*x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A196917 9.14244 [(x^4-3*x^3+x^2+x+1)/(x^4-x^3-2*x+1) ogf] A196917 9.32746 [(3+2*x+14*x^3+2*x^6-2*x^5-8*x^4-8*x^2)/(x^4-3*x^3+x^2+x+1)/(x^4-x^3-2*x+1) lgdogf] A196918 4.73479 [(6*x^8+7*x^7-11*x^6-17*x^5-x^4-x^2+1)/(3*x^8+8*x^7+5*x^6+x^5+x^4-x^3+3*x^2-4*x+1) ogf] A196933 14.5724 [-(x^10+x^9+1)/(x^11-1) ogf_with_Euler_transform] A196952 4.12419 [(x^9-2*x^8-6*x^7-2*x^6+12*x^5+11*x^4-x^3-5*x^2-6*x-3)/(x^9-6*x^7-9*x^6+x^5+10*x^4+8*x^3+4*x^2+x-1) ogf] A196961 5.87572 [-(4*x^6-5*x^5-8*x^4-4*x^3-3*x^2+2*x+2)/(x-1)/(2*x^6-x^5-6*x^4-6*x^3-4*x^2-x+1) ogf] A196976 6.58552 [-(5+3*x+2*x^3+3*x^8-5*x^7+x^6-5*x^5-x^4+x^9+6*x^2)/(1+x)/(x^6+2*x^4-4*x^3-x^2-2*x+1)/(x^3-x-1) lgdogf] A196976 6.79646 [-(x^3-x-1)*(x+1)^2/(x^6+2*x^4-4*x^3-x^2-2*x+1) ogf] A196984 4.01628 [-(2*x^8+5*x^7+3*x^6-4*x^5-7*x^4-3*x^3-5*x^2-2*x-1)/(x^9+4*x^8+4*x^7-4*x^6-14*x^5-11*x^4-6*x^3-2*x^2-x+1) ogf] A197049 7.46520 [(-2-6*x-4*x^3+x^8-8*x^7+2*x^6+4*x^5+6*x^4-5*x^2)/(x^5+x^4-3*x^3-x^2-x+1)/(x^5+x^3-2*x^2-x-1) lgdogf] A197049 7.53262 [-2*(x^5+x^3-2*x^2-x-1)/(x^5+x^4-3*x^3-x^2-x+1) ogf] A197050 5.98087 [(x^6-2*x^5-3*x^4-3*x^3+3*x^2+3*x+3)/(x^6+2*x^5+x^4-3*x^3-3*x^2-x+1) ogf] A197056 7.93769 [-(x^5+2*x^4+4*x^3+3*x^2+2*x+1)/(x+1)/(x^5+2*x^3-2*x^2+2*x-1) ogf] A197057 4.88103 [-(x+1)*(x^2+x+1)*(2*x^5+x^4-2*x^2-x-1)/(2*x^9+3*x^8+x^7-2*x^6-3*x^5-2*x^4-x^3-x+1) ogf] A197083 3.96854 [{(575*n^2+3662*n+5811)*a(n+1)+(-952*n^2-4743*n-12815)*a(n+2)+(377*n^2+2071*n+2634)*a(n+3),a(0)=0,a(1)=10,a(2)=96} ogf] A197083 7.70590 [x*(x^3+19*x^2+36*x+10)/(x-1)^6 ogf] A197092 5.15234 [-(9298*f(x)+7955)*(f(x)*x^4-3*f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)-5*x-1) ogf] A197092 8.80568 [-(7+8*x+4*x^3+2*x^6-2*x^5-9*x^4+7*x^2)/(x^4-3*x^2-2*x+1)/(2*x^3-x^2-5*x-1) lgdogf] A197092 9.63264 [-(2*x^3-x^2-5*x-1)/(x^4-3*x^2-2*x+1) ogf] A197102 6.62948 [(8*x^5-7*x^3-6*x^2+2*x+2)/(4*x^5+4*x^4-3*x^3-5*x^2-2*x+1) ogf] A197174 4.77379 [-(x+1)*(3*x^6-6*x^4-x^3-3*x^2+2*x+1)/(x^8+x^7-2*x^6-4*x^5-x^4+2*x^3+x^2+2*x-1) ogf] A197189 17.3041 [(x-1)/(5*x^2+3*x-1) ogf] A197189 21.2682 [-(-2-10*x+5*x^2)/(x-1)/(5*x^2+3*x-1) lgdogf] A197189 8.74927 [(141*f(x)-125)*(5*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A197189 9.49617 [{-a(n+2)+3*a(n+1)+5*a(n),a(0)=1,a(1)=2} ogf] A197192 48.6368 [-70/(-1+7*x) lgdogf] A197192 5.61296 [{(-n-2)*a(n+2)+(77+7*n)*a(n+1),a(0)=1,a(1)=70} ogf] A197193 70.6493 [-77/(-1+7*x) lgdogf] A197193 8.11108 [{(-n-2)*a(n+2)+(84+7*n)*a(n+1),a(0)=1,a(1)=77} ogf] A197194 66.7406 [-90/(-1+9*x) lgdogf] A197194 7.66665 [{(-n-2)*a(n+2)+(99+9*n)*a(n+1),a(0)=1,a(1)=90} ogf] A197201 5.13029 [-(x+1)*(4*x^6-x^5-3*x^4-7*x^3+2*x+1)/(2*x^8+x^7-8*x^5-4*x^4+2*x^3+4*x^2+2*x-1) ogf] A197209 3.02402 [{(8*n^2+64*n+120)*a(n+1)+(7*n^2+63*n+138)*a(n+2)+(-n^2-10*n-21)*a(n+3),a(0)=3,a(1)=24,a(2)=180} ogf] A197211 7.82712 [-(1+x)*(x^7-3*x^6+7*x^5-5*x^4+12*x^3-2*x^2+4*x+2)/(x^5+2*x^3+x^2+x-1)/(x^4-x^3+2*x^2+x+1) lgdogf] A197211 8.35855 [-(x^4-x^3+2*x^2+x+1)/(x^5+2*x^3+x^2+x-1) ogf] A197229 6.64193 [-(2*x^5+x^4+4*x^3-2*x^2-6*x-1)/(x^6+x^5+x^4-2*x^3-3*x^2-x+1) ogf] A197244 8.56599 [-2*(x-1)*(x+1)^3/(2*x^5-x^4-2*x^3-4*x^2+1) ogf] A197244 9.19243 [-2*(1+2*x+4*x^3+x^6+2*x^5-5*x^4-x^2)/(x-1)/(1+x)/(2*x^5-x^4-2*x^3-4*x^2+1) lgdogf] A197271 5.59622 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-27*n^3-189*n^2-438*n-336)*a(n+2),a(0)=5,a(1)=2} ogf] A197272 3.27491 [{(3125*n^4+18750*n^3+41875*n^2+41250*n+15120)*a(n+1)+(-256*n^4-2176*n^3-6896*n^2-9656*n-5040)*a(n+2),a(0)=3,a(1)=1} ogf] A197274 5.87215 [-(2*x^4+x^2+3*x-3)*(x+1)^2/(2*x^7+x^6+2*x^5+2*x^4-2*x^3-2*x+1) ogf] A197311 6.48742 [(6*x^6-7*x^5-2*x^4+5*x^3-3*x^2-x+1)/(3*x^2-1)/(x^5-3*x^3+3*x^2+x-1) ogf] A197321 58.5300 [-88/(-1+8*x) lgdogf] A197321 6.73510 [{(-n-2)*a(n+2)+(96+8*n)*a(n+1),a(0)=1,a(1)=88} ogf] A197337 3.27481 [-(3*x^11-6*x^10-7*x^9-5*x^8-8*x^7+7*x^6+8*x^5+12*x^3+x^2+3*x+1)/(2*x^12-4*x^11-6*x^10-4*x^9-3*x^8+2*x^7+6*x^6+4*x^5+7*x^4+4*x^3+2*x-1) ogf] A197344 7.75613 [-(4*x^4-3*x^3-7*x^2-1)/(4*x^5-7*x^4-4*x^3-x^2-x+1) ogf] A197355 6.01229 [{(-2*n-4)*a(n+1)+a(n+3)-8*a(n+2),a(0)=1,a(1)=8,a(2)=66} ogf] A197368 5.01795 [-(9*x^7-9*x^6-37*x^5+17*x^4-32*x^3+24*x^2+x+1)/(3*x^8-5*x^7-7*x^6-3*x^4+7*x^3+2*x^2+2*x-1) ogf] A197403 4.14132 [-(2*x^6+8*x^5-3*x^4-9*x^3-7*x^2-3*x+3)*(x+1)^2/(2*x^9+5*x^8-12*x^7-30*x^6-39*x^5-10*x^4+7*x^3+4*x^2+2*x-1) ogf] A197424 7.06203 [-(x^4-5*x^3-15*x^2+16*x+4)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A197435 4.81365 [(103*f(x)-279)*(2*f(x)*x^4+3*f(x)*x^3-6*x^4+2*f(x)*x^2-3*x^3+f(x)*x-2*x^2-f(x)+3*x+3) ogf] A197435 7.64963 [2*(3+4*x+12*x^3+6*x^6+8*x^5+18*x^4+13*x^2)/(6*x^4+3*x^3+2*x^2-3*x-3)/(2*x^4+3*x^3+2*x^2+x-1) lgdogf] A197435 8.43806 [(6*x^4+3*x^3+2*x^2-3*x-3)/(2*x^4+3*x^3+2*x^2+x-1) ogf] A197444 4.92389 [(3*x^7-x^6-7*x^5-7*x^4+5*x^3+8*x^2-x-2)/(x-1)/(x^7+5*x^6+5*x^5+4*x^4-2*x^3-6*x^2-x+1) ogf] A197469 7.73127 [2*(2*x+1)*(4*x^4-2*x^3-x^2-x-1)*(x^2+x+1)/(2*x-1)/(1+2*x^2+x)/(2*x^5+4*x^4+2*x^3+4*x^2+x+1) lgdogf] A197469 9.31699 [-(2*x^5+4*x^4+2*x^3+4*x^2+x+1)/(2*x-1)/(2*x^2+x+1) ogf] A197497 5.08583 [(295448*f(x)+275503)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+3*x^3-f(x)*x-7*x^2+f(x)-1) ogf] A197497 9.14472 [-(1+16*x+2*x^3+3*x^6-14*x^5+17*x^4-10*x^2)/(3*x^3-7*x^2-1)/(x^4-2*x^3-x^2-x+1) lgdogf] A197497 9.96266 [-(3*x^3-7*x^2-1)/(x^4-2*x^3-x^2-x+1) ogf] A197524 4.06084 [-(73*x^7-181*x^6+31*x^5+39*x^4-20*x^3+24*x^2+x+1)/(16*x^9-9*x^8-99*x^7+31*x^6+21*x^5+10*x^4+19*x^3+2*x^2+2*x-1) ogf] A197531 5.83118 [-(2*x^5+x^4-2*x^3-2*x^2-6*x+3)*(x+1)^2/(x^3+x^2+x-1)/(x^5-x^3-x^2-2*x+1) ogf] A197539 5.59968 [-(6*x^7-7*x^6+3*x^5+5*x^4-9*x^3-3*x^2-4*x-1)/(2*x^8-3*x^7+x^6+3*x^5-4*x^4-2*x^3-x+1) ogf] A197602 10.2314 [(x^6-3*x^5+6*x^4-14*x^3+25*x^2-17*x+8)/(x-1)^4 ogf] A197602 12.4812 [(-15+x-10*x^3+2*x^6-9*x^5+15*x^4-8*x^2)/(x-1)/(x^6-3*x^5+6*x^4-14*x^3+25*x^2-17*x+8) lgdogf] A197603 12.5050 [(39+12*x-34*x^3+x^6-6*x^5+21*x^4+87*x^2)/(x-1)/(x^6-21*x^4+59*x^3-88*x^2+41*x-16) lgdogf] A197603 9.51722 [(x^6-21*x^4+59*x^3-88*x^2+41*x-16)/(x-1)^5 ogf] A197604 5.10695 [(x^15-5*x^14+10*x^13-10*x^12+5*x^11-5*x^9+11*x^8-13*x^7+16*x^6-62*x^5+191*x^4-265*x^3+309*x^2-95*x+32)/(x-1)^6 ogf] A197605 4.45608 [(x^9-3*x^8+15*x^7-125*x^6+455*x^5-1017*x^4+821*x^3-1007*x^2+204*x-64)/(x-1)^7 ogf] A197607 4.59831 [-(x+1)*(x^6+2*x^4-5*x^3-x^2-2*x-1)/(x^8+x^7-2*x^6-2*x^5-x^4-4*x^3-x^2-2*x+1) ogf] A197616 3.82742 [-(f(x)-1)^3 ogf] A197617 14.3213 [-8*x^2/(x^4+4*x^3+x^2-1) ogf] A197617 18.8708 [-2*x*(1+2*x^2+6*x)/(-1+x^2+4*x^3+x^4) lgdogf] A197617 6.55837 [-(f(x)+8)*(f(x)*x^4+4*f(x)*x^3+f(x)*x^2+8*x^2-f(x)) ogf] A197642 6.34526 [-(8*x^5+23*x^4-6*x^3-6*x^2-1)/(x-1)/(8*x^5+17*x^4+3*x^3+2*x^2+x-1) ogf] A197649 11.4607 [x*(x+1)/(x^2-3*x+1)^2 ogf] A197649 24.0778 [-(-7+x+3*x^2)/(1+x)/(x^2-3*x+1) lgdogf] A197649 3.83964 [{(n+3)*a(n+4)+(-11-2*n)*a(n+3)+(-1-2*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=1,a(2)=7,a(3)=31} ogf] A197649 5.77413 [(2825*f(x)+573)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x-x^2+f(x)-x) ogf] A197652 14.4065 [x*(9*x+1)/(x+1)/(x-1)^2 ogf] A197652 22.4749 [-2*(5+6*x+9*x^2)/(x-1)/(9*x+1)/(1+x) lgdogf] A197652 7.20326 [(6140*f(x)+71111)*(f(x)*x^3-f(x)*x^2-f(x)*x-9*x^2+f(x)-x) ogf] A197652 7.33188 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A197666 3.97791 [-(x-1)*(2*x^6+15*x^5-3*x^4-20*x^3-11*x^2-3*x+3)*(x+1)^2/(x^5+6*x^4-7*x^3-x^2-2*x+1)/(x^5-x^4-4*x^3-5*x^2-x+1) ogf] A197773 7.90661 [(x^6-3*x^5+5*x^4-11*x^3+22*x^2-16*x+8)/(x-1)^4 ogf] A197773 9.38764 [(-16+4*x-9*x^3+2*x^6-9*x^5+15*x^4-11*x^2)/(x-1)/(x^6-3*x^5+5*x^4-11*x^3+22*x^2-16*x+8) lgdogf] A197883 5.52080 [-x*(7*x^7-5*x^5+9*x^4-x^3-2*x^2-3*x-4)/(x-1)/(5*x^8+5*x^7-2*x^6+2*x^5+5*x^4+4*x^3+2*x^2-x-1) ogf] A197903 7.01258 [(x^6-x^5-17*x^4+53*x^3-84*x^2+40*x-16)/(x-1)^5 ogf] A197903 9.51339 [(40+8*x-38*x^3+x^6-6*x^5+22*x^4+93*x^2)/(x-1)/(x^6-x^5-17*x^4+53*x^3-84*x^2+40*x-16) lgdogf] A197904 3.94377 [(x^15-5*x^14+10*x^13-10*x^12+5*x^11-5*x^9+11*x^8-13*x^7+15*x^6-57*x^5+181*x^4-255*x^3+304*x^2-94*x+32)/(x-1)^6 ogf] A197905 4.48260 [(x^9-3*x^8+14*x^7-119*x^6+440*x^5-997*x^4+806*x^3-1001*x^2+203*x-64)/(x-1)^7 ogf] A197916 10.3570 [-2*(-3-4*x-3*x^3+5*x^6+x^5-8*x^4+4*x^2)/(x-1)/(1+x)/(1+x^2)/(5*x^3-x^2-5*x-1) lgdogf] A197916 11.0979 [-x*(5*x^3-x^2-5*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A197985 10.2614 [(x^3-5*x^2+6*x-4)/(x-1)^3 ogf] A197985 19.7946 [2*(3-x+x^2)/(x-1)/(x^3-5*x^2+6*x-4) lgdogf] A197985 5.28387 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=4,a(1)=6,a(2)=11,a(3)=18} ogf] A197985 5.75642 [(-101+204*f(x))*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+5*x^2-f(x)-6*x+4) ogf] A197986 5.40217 [(x^9-3*x^8+3*x^7-x^6+x^5-x^4-7*x^3+21*x^2-16*x+8)/(x-1)^4 ogf] A197988 6.65846 [(x^7+x^5+x^4+2*x^3+2*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A198014 6.56935 [(3*x^5+2*x^4+5*x^3+6*x^2+6*x+2)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A198015 3.94950 [-(x^11-x^10+x^9-4*x^8-5*x^7-10*x^6-9*x^5-11*x^4-4*x^3-7*x^2-2*x-1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^6 ogf] A198016 4.29039 [-(2*x^8-5*x^7-x^6-13*x^5-8*x^4-13*x^3-9*x^2-3*x-2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A198017 13.9617 [(x^2-7*x-1)/(x-1)^3 ogf] A198017 25.3388 [-(-10-12*x+x^2)/(x-1)/(x^2-7*x-1) lgdogf] A198017 7.21749 [(7693*f(x)-41917)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+7*x+1) ogf] A198017 7.47074 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=26} ogf] A198071 3.33810 [(x^11-6*x^10+16*x^9-24*x^8+36*x^7-146*x^6+476*x^5-1032*x^4+827*x^3-1008*x^2+204*x-64)/(x-1)^7 ogf] A198080 14.1508 [-4*x/(27*x-1)/(x-1)^2 ogf] A198080 25.7910 [-(-29+81*x)/(27*x-1)/(x-1) lgdogf] A198080 5.85549 [{a(n+3)-29*a(n+2)+55*a(n+1)-27*a(n),a(0)=0,a(1)=4,a(2)=116} ogf] A198080 6.59454 [(29*f(x)+4)*(27*f(x)*x^3-55*f(x)*x^2+29*f(x)*x-f(x)+4*x) ogf] A198148 12.8123 [-(-1-30*x-20*x^3+2*x^5-5*x^2)/(x-1)/(x+1)/(-3-6*x^2+x^4-x) lgdogf] A198148 6.56444 [{(n+5)*a(n+1)+(-n-1)*a(n+3),a(0)=0,a(1)=3,a(2)=1} ogf] A198148 9.80404 [x*(x^4-6*x^2-x-3)/(x-1)^3/(x+1)^3 ogf] A198179 5.05195 [-x*(7*x^7+3*x^6-6*x^5+x^4+x^3+4*x^2-3*x-4)/(x-1)/(3*x^8+4*x^7+2*x^4+4*x^3+2*x^2-x-1) ogf] A198205 3.6696 [-(101164396*f(x)+60288381)*(81*f(x)*x^3-103*f(x)*x^2+23*f(x)*x+81*x^2-f(x)-49*x+4) ogf] A198205 4.19383 [{-a(n+3)+23*a(n+2)-103*a(n+1)+81*a(n),a(0)=4,a(1)=43,a(2)=658} ogf] A198205 6.42073 [-(43-662*x+4156*x^2-7938*x^3+6561*x^4)/(x-1)/(81*x^2-22*x+1)/(81*x^2-49*x+4) lgdogf] A198205 7.44875 [-(81*x^2-49*x+4)/(x-1)/(81*x^2-22*x+1) ogf] A198247 3.34308 [-(444*x^7+287*x^6-395*x^5-185*x^4+126*x^3+25*x^2-15*x+1)/(x-1)/(x+1)/(8*x^3-x^2-4*x+1)/(64*x^3+23*x^2-16*x+1) ogf] A198271 7.53474 [-x*(x^19-x^18-4*x^4-3*x^3-4*x^2-3*x-4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A198272 7.21815 [x*(4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+4*x^2+4*x+4)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A198274 16.4393 [-(11*x-12)/(2*x-1)/(x-1) ogf] A198274 18.5100 [-(25-48*x+22*x^2)/(x-1)/(11*x-12)/(2*x-1) lgdogf] A198274 8.58497 [(27*f(x)+301)*(2*f(x)*x^2-3*f(x)*x+f(x)+11*x-12) ogf] A198274 9.19819 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=12,a(1)=25} ogf] A198275 16.6585 [-(15*x-16)/(2*x-1)/(x-1) ogf] A198275 18.7613 [-(33-64*x+30*x^2)/(x-1)/(15*x-16)/(2*x-1) lgdogf] A198275 8.69943 [(35*f(x)+529)*(2*f(x)*x^2-3*f(x)*x+f(x)+15*x-16) ogf] A198275 9.32083 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=16,a(1)=33} ogf] A198276 16.7316 [-(17*x-18)/(2*x-1)/(x-1) ogf] A198276 18.8451 [-(37-72*x+34*x^2)/(x-1)/(2*x-1)/(17*x-18) lgdogf] A198276 8.73759 [(39*f(x)+667)*(2*f(x)*x^2-3*f(x)*x+f(x)+17*x-18) ogf] A198276 9.36171 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=18,a(1)=37} ogf] A198279 10.9280 [-(3*x^2-1)/(8*x^3-x^2-4*x+1) ogf] A198279 12.7122 [-4*(1-x+6*x^4-3*x^2)/(3*x^2-1)/(8*x^3-x^2-4*x+1) lgdogf] A198279 5.51237 [{a(n+3)-4*a(n+2)-a(n+1)+8*a(n),a(0)=1,a(1)=4,a(2)=14} ogf] A198279 5.71467 [(41*f(x)+37)*(8*f(x)*x^3-f(x)*x^2-4*f(x)*x+3*x^2+f(x)-1) ogf] A198280 3.52439 [-2*(576*x^8-148*x^6-116*x^5-31*x^4+35*x^3+4*x^2+x-1)/(2048*x^9-64*x^8-512*x^7-492*x^6-68*x^5+145*x^4+20*x^3+2*x^2-8*x+1) ogf] A198287 4.39483 [-(4100*f(x)-6177)*(81*f(x)*x^3-103*f(x)*x^2+23*f(x)*x+87*x^2-f(x)-29*x+2) ogf] A198287 4.69027 [{-a(n+3)+23*a(n+2)-103*a(n+1)+81*a(n),a(0)=2,a(1)=17,a(2)=272} ogf] A198287 8.33048 [-(87*x^2-29*x+2)/(x-1)/(81*x^2-22*x+1) ogf] A198306 10.3140 [-2*(6+25*x+25*x^4-25*x^3-35*x^2)/(x-1)/(5*x^2-1)/(10*x^2-5*x-7) lgdogf] A198306 10.6953 [-(10*x^2-5*x-7)/(x-1)/(5*x^2-1) ogf] A198306 5.39113 [-(2496*f(x)+11953)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+10*x^2+f(x)-5*x-7) ogf] A198306 5.81674 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n),a(0)=7,a(1)=12,a(2)=37} ogf] A198307 10.9312 [-(7+36*x+36*x^4-36*x^3-48*x^2)/(x-1)/(6*x^2-3*x-4)/(6*x^2-1) lgdogf] A198307 12.4373 [-2*(6*x^2-3*x-4)/(x-1)/(6*x^2-1) ogf] A198307 6.32058 [-(1619*f(x)+7280)*(6*f(x)*x^3-6*f(x)*x^2-f(x)*x+12*x^2+f(x)-6*x-8) ogf] A198307 6.76414 [{a(n+3)-a(n+2)-6*a(n+1)+6*a(n),a(0)=8,a(1)=14,a(2)=50} ogf] A198308 10.2397 [-2*(8+49*x+49*x^4-49*x^3-63*x^2)/(x-1)/(7*x^2-1)/(14*x^2-7*x-9) lgdogf] A198308 12.3076 [-(14*x^2-7*x-9)/(x-1)/(7*x^2-1) ogf] A198308 6.15383 [-(14402*f(x)+61727)*(7*f(x)*x^3-7*f(x)*x^2-f(x)*x+14*x^2+f(x)-7*x-9) ogf] A198308 6.69363 [{-a(n+3)+a(n+2)+7*a(n+1)-7*a(n),a(0)=9,a(1)=16,a(2)=65} ogf] A198309 11.3490 [-(9+64*x+64*x^4-64*x^3-80*x^2)/(x-1)/(8*x^2-4*x-5)/(8*x^2-1) lgdogf] A198309 11.8755 [-2*(8*x^2-4*x-5)/(x-1)/(8*x^2-1) ogf] A198309 6.03351 [-(7167*f(x)+29578)*(8*f(x)*x^3-8*f(x)*x^2-f(x)*x+16*x^2+f(x)-8*x-10) ogf] A198309 6.50570 [{a(n+3)-a(n+2)-8*a(n+1)+8*a(n),a(0)=10,a(1)=18,a(2)=82} ogf] A198310 10.5252 [-(18*x^2-9*x-11)/(x-1)/(3*x-1)/(3*x+1) ogf] A198310 5.26261 [-(52484*f(x)+210077)*(9*f(x)*x^3-9*f(x)*x^2-f(x)*x+18*x^2+f(x)-9*x-11) ogf] A198310 5.71628 [{-a(n+3)+a(n+2)+9*a(n+1)-9*a(n),a(0)=11,a(1)=20,a(2)=101} ogf] A198310 9.15794 [-2*(10+81*x+81*x^4-81*x^3-99*x^2)/(x-1)/(3*x-1)/(3*x+1)/(18*x^2-9*x-11) lgdogf] A198392 12.0202 [-(-4-20*x-10*x^3+x^5-3*x^4-18*x^2)/(x-1)/(x+1)/(x^4-2*x^3-4*x^2-2*x-2) lgdogf] A198392 9.21655 [(x^4-2*x^3-4*x^2-2*x-2)/(x+1)^2/(x-1)^3 ogf] A198395 7.21815 [x*(4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+5)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A198396 10.5979 [-(37*x^2-8*x+1)/(6*x-1)/(x-1)^2 ogf] A198396 13.1678 [-6*x*(-8+37*x^2+21*x)/(x-1)/(6*x-1)/(37*x^2-8*x+1) lgdogf] A198396 5.47267 [(45025*f(x)+102431)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x+37*x^2-f(x)-8*x+1) ogf] A198396 5.90854 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=1,a(1)=0,a(2)=24} ogf] A198397 10.1967 [-(50*x^2-9*x+1)/(7*x-1)/(x-1)^2 ogf] A198397 12.4169 [-14*x*(-5+25*x^2+16*x)/(x-1)/(7*x-1)/(50*x^2-9*x+1) lgdogf] A198397 5.22272 [(136116*f(x)+629509)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+50*x^2-f(x)-9*x+1) ogf] A198397 5.68490 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=1,a(1)=0,a(2)=35} ogf] A198398 11.5796 [-8*x*(-12+65*x^2+45*x)/(x-1)/(8*x-1)/(65*x^2-10*x+1) lgdogf] A198398 4.85023 [(345793*f(x)+2640191)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x+65*x^2-f(x)-10*x+1) ogf] A198398 5.36078 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=1,a(1)=0,a(2)=48} ogf] A198398 9.40198 [-(65*x^2-10*x+1)/(8*x-1)/(x-1)^2 ogf] A198399 10.7585 [-18*x*(-7+41*x^2+30*x)/(x-1)/(9*x-1)/(82*x^2-11*x+1) lgdogf] A198399 4.51013 [(774208*f(x)+8755361)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x+82*x^2-f(x)-11*x+1) ogf] A198399 4.98489 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=1,a(1)=0,a(2)=63} ogf] A198399 8.74272 [-(82*x^2-11*x+1)/(9*x-1)/(x-1)^2 ogf] A198400 4.37136 [(1574721*f(x)+24639679)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x+101*x^2-f(x)-12*x+1) ogf] A198400 4.94154 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=0,a(2)=80} ogf] A198400 8.48175 [-(101*x^2-12*x+1)/(10*x-1)/(x-1)^2 ogf] A198400 9.99006 [-10*x*(-16+101*x^2+77*x)/(x-1)/(10*x-1)/(101*x^2-12*x+1) lgdogf] A198402 4.50811 [5*x*(625*x^4+3250*x^3+1650*x^2+130*x+1)/(5*x-1)^6 ogf] A198403 3.17105 [-6*x*(6*x+1)*(1296*x^4+12096*x^3+8856*x^2+336*x+1)/(6*x-1)^7 ogf] A198405 4.96147 [-(3552*x^4-3209*x^3+892*x^2-85*x+2)/(x-1)/(256*x^2-41*x+1)/(16*x^2-9*x+1) ogf] A198410 11.3016 [-(63*x^2-54*x+7)/(x-1)/(3*x-1)/(9*x-1) ogf] A198410 5.87329 [-(4777*f(x)+15252)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+63*x^2-f(x)-54*x+7) ogf] A198410 6.32125 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=7,a(1)=37,a(2)=271} ogf] A198410 9.65433 [-(37-420*x-2916*x^3+1701*x^4+1854*x^2)/(x-1)/(3*x-1)/(9*x-1)/(63*x^2-54*x+7) lgdogf] A198412 13.2328 [19*x/(729*x-1)/(64*x-1) ogf] A198412 16.8985 [-(-793+93312*x)/(729*x-1)/(64*x-1) lgdogf] A198412 6.61641 [{a(n+2)-793*a(n+1)+46656*a(n),a(0)=0,a(1)=19} ogf] A198412 8.82187 [-46656*f(x)*x^2+793*f(x)*x-f(x)+19*x ogf] A198442 13.4547 [x^2*(x-2)/(x+1)/(x-1)^3 ogf] A198442 24.6258 [-3*(-1-2*x+x^2)/(x-1)/(x-2)/(x+1) lgdogf] A198442 4.97418 [{(n^2+7*n+10)*a(n+1)+(6+2*n)*a(n+2)+(-n^2-5*n-4)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A198442 7.39405 [(3*f(x)+8)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+2*x^2-f(x)) ogf] A198447 4.42447 [-(129025*f(x)+215184)*(16*f(x)*x^3-25*f(x)*x^2+10*f(x)*x+16*x^2-f(x)-17*x+3) ogf] A198447 4.91607 [{-a(n+3)+10*a(n+2)-25*a(n+1)+16*a(n),a(0)=3,a(1)=13,a(2)=71} ogf] A198447 7.82218 [-(13-118*x+409*x^2+256*x^4-544*x^3)/(x-1)/(16*x^2-9*x+1)/(16*x^2-17*x+3) lgdogf] A198447 8.71485 [-(16*x^2-17*x+3)/(x-1)/(16*x^2-9*x+1) ogf] A198473 8.05947 [x*(x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A198474 12.5690 [-2*(3*x-1)/(16*x^2-9*x+1) ogf] A198474 13.8096 [-2*(3-16*x+24*x^2)/(3*x-1)/(16*x^2-9*x+1) lgdogf] A198474 6.15081 [-(217*f(x)+214)*(16*f(x)*x^2-9*f(x)*x+f(x)+6*x-2) ogf] A198474 6.88305 [{a(n+2)-9*a(n+1)+16*a(n),a(0)=2,a(1)=12} ogf] A198480 13.2478 [(5*x+1)/(7*x-1)/(x-1) ogf] A198480 14.6042 [-(-13+14*x+35*x^2)/(x-1)/(5*x+1)/(7*x-1) lgdogf] A198480 6.85231 [(90*f(x)+79)*(7*f(x)*x^2-8*f(x)*x+f(x)-5*x-1) ogf] A198480 7.18253 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=1,a(1)=13} ogf] A198482 3.26001 [-(-828037587955+265110980988*f(x))*(81*f(x)*x^3-135*f(x)*x^2-27*x^3+55*f(x)*x+132*x^2-f(x)-82*x+5) ogf] A198482 3.39307 [{-a(n+4)+55*a(n+3)-135*a(n+2)+81*a(n+1),a(0)=5,a(1)=193,a(2)=10072,a(3)=528283} ogf] A198482 6.47769 [(27*x^3-132*x^2+82*x-5)/(x-1)/(81*x^2-54*x+1) ogf] A198486 5.48505 [(80*x^10+62*x^9-18*x^8-18*x^7-18*x^6-18*x^5-18*x^4-18*x^3-18*x^2-8*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A198508 5.04324 [-(4096*x^4-4496*x^3+1381*x^2-145*x+4)/(x-1)/(256*x^2-41*x+1)/(16*x^2-9*x+1) ogf] A198517 12.6360 [-(x^2+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A198517 15.6707 [-x*(2+5*x^3+3*x^5)/(x-1)/(1+x^2)/(x^4+x^3+x^2+x+1) lgdogf] A198517 19.5576 [x^4-x^3+x ogf_with_Euler_transform] A198586 10.1855 [-(64*x^2-80*x-5)/(x-1)/(8*x-1)/(8*x+1) ogf] A198586 5.05387 [-(1631077*f(x)+2839378)*(64*f(x)*x^3-64*f(x)*x^2-f(x)*x+64*x^2+f(x)-80*x-5) ogf] A198586 5.65860 [{a(n+3)-a(n+2)-64*a(n+1)+64*a(n),a(0)=5,a(1)=85,a(2)=341} ogf] A198586 8.44251 [-(85+512*x+4224*x^2-10240*x^3+4096*x^4)/(x-1)/(8*x+1)/(8*x-1)/(64*x^2-80*x-5) lgdogf] A198598 6.11500 [-(29*x^4+19*x^3-9*x^2-4*x+1)/(x-1)/(x+1)/(27*x^3+5*x^2-9*x+1) ogf] A198620 4.15083 [-x*(11*x^8+37*x^7-5*x^6-54*x^5+3*x^4+26*x^3-4*x^2-4*x+1)/(x-1)/(2*x-1)/(x+1)/(5*x^2+x-1)/(x^2+x-1)/(3*x^2+x-1) ogf] A198628 7.56133 [-(94*x^4-114*x^3+55*x^2-12*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A198629 5.08526 [x*(148*x^4-168*x^3+73*x^2-14*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A198633 15.2622 [-2*f(x)*x+f(x)+2*x-3 ogf] A198633 18.5621 [(-3+2*x)/(2*x-1) ogf] A198633 39.5919 [4/(2*x-1)/(2*x-3) lgdogf] A198633 9.53886 [{a(n+2)-2*a(n+1),a(0)=3,a(1)=4} ogf] A198635 14.4395 [(3*x^2-12*x+5)/(3*x-1)/(x-1) ogf] A198635 17.4183 [8*(1-3*x+3*x^2)/(x-1)/(3*x-1)/(3*x^2-12*x+5) lgdogf] A198635 7.57024 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=5,a(1)=8,a(2)=20} ogf] A198635 7.87612 [-(-1+13*f(x))*(3*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+12*x-5) ogf] A198636 10.8779 [-(5-24*x+39*x^2+6*x^4-20*x^3)/(6*x^2-10*x+3)/(x^3-6*x^2+5*x-1) lgdogf] A198636 11.0880 [-(6*x^2-10*x+3)/(x^3-6*x^2+5*x-1) ogf] A198636 6.08371 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n),a(0)=3,a(1)=5,a(2)=13} ogf] A198636 6.61018 [f(x)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x+6*x^2-f(x)-10*x+3) ogf] A198638 12.0753 [(9-28*x+24*x^2)/(x-1)/(2*x-1)/(16*x^2-12*x+1) lgdogf] A198638 5.18646 [{a(n+3)-12*a(n+2)+16*a(n+1),a(0)=4,a(1)=36,a(2)=376} ogf] A198638 5.49457 [-(1+20*f(x))*(16*f(x)*x^2-12*f(x)*x-8*x^2+f(x)+12*x-4) ogf] A198638 9.90984 [4*(2*x-1)*(x-1)/(16*x^2-12*x+1) ogf] A198643 15.5665 [-2*(x-2)/(3*x-1)/(x-1) ogf] A198643 19.6417 [-(7-12*x+3*x^2)/(x-1)/(x-2)/(3*x-1) lgdogf] A198643 8.14524 [(8*f(x)+17)*(3*f(x)*x^2-4*f(x)*x+f(x)+2*x-4) ogf] A198643 8.43966 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=4,a(1)=14} ogf] A198644 15.9285 [-(5*x-7)/(3*x-1)/(x-1) ogf] A198644 18.0449 [-(23-42*x+15*x^2)/(x-1)/(3*x-1)/(5*x-7) lgdogf] A198644 8.14524 [(50*f(x)+179)*(3*f(x)*x^2-4*f(x)*x+f(x)+5*x-7) ogf] A198644 8.63593 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=7,a(1)=23} ogf] A198645 14.8784 [-(7*x-9)/(3*x-1)/(x-1) ogf] A198645 16.8372 [-(29-54*x+21*x^2)/(x-1)/(3*x-1)/(7*x-9) lgdogf] A198645 7.60825 [(62*f(x)+283)*(3*f(x)*x^2-4*f(x)*x+f(x)+7*x-9) ogf] A198645 8.06659 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=9,a(1)=29} ogf] A198646 14.6949 [-2*(4*x-5)/(3*x-1)/(x-1) ogf] A198646 17.0023 [-2*(8-15*x+6*x^2)/(4*x-5)/(x-1)/(3*x-1) lgdogf] A198646 7.26843 [(8165*f(x)+49422)*(3*f(x)*x^2-4*f(x)*x+f(x)+8*x-10) ogf] A198646 8.04720 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=10,a(1)=32} ogf] A198647 13.5141 [2*(2*x+1)/(7*x-1)/(x-1) ogf] A198647 15.2859 [-2*(-5+7*x+7*x^2)/(x-1)/(2*x+1)/(7*x-1) lgdogf] A198647 6.61015 [(4629*f(x)+10742)*(7*f(x)*x^2-8*f(x)*x+f(x)-4*x-2) ogf] A198647 7.32690 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=2,a(1)=20} ogf] A198662 5.32989 [-x*(3*x^3-3*x+1)*(x^3+3*x^2-1)/(x-1)/(2*x-1)/(x+1)/(4*x^2+x-1)/(x^2+x-1) ogf] A198686 13.6472 [3*(x+1)/(7*x-1)/(x-1) ogf] A198686 16.7262 [-(-9+14*x+7*x^2)/(x-1)/(7*x-1)/(x+1) lgdogf] A198686 6.74863 [(3658*f(x)+8709)*(7*f(x)*x^2-8*f(x)*x+f(x)-3*x-3) ogf] A198686 7.39910 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=3,a(1)=27} ogf] A198687 13.7804 [2*(x+2)/(7*x-1)/(x-1) ogf] A198687 16.4360 [-(-17+28*x+7*x^2)/(x-1)/(7*x-1)/(x+2) lgdogf] A198687 7.12778 [(54*f(x)+73)*(7*f(x)*x^2-8*f(x)*x+f(x)-2*x-4) ogf] A198687 7.47128 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=4,a(1)=34} ogf] A198688 13.9135 [(x+5)/(7*x-1)/(x-1) ogf] A198688 16.5980 [-(-41+70*x+7*x^2)/(x+5)/(x-1)/(7*x-1) lgdogf] A198688 7.03492 [(258*f(x)+391)*(7*f(x)*x^2-8*f(x)*x+f(x)-x-5) ogf] A198688 7.54347 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=5,a(1)=41} ogf] A198689 14.0466 [-(x-7)/(7*x-1)/(x-1) ogf] A198689 17.2254 [-(55-98*x+7*x^2)/(x-1)/(x-7)/(7*x-1) lgdogf] A198689 7.10224 [(342*f(x)+631)*(7*f(x)*x^2-8*f(x)*x+f(x)+x-7) ogf] A198689 7.61565 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=7,a(1)=55} ogf] A198690 14.1798 [-2*(x-4)/(7*x-1)/(x-1) ogf] A198690 17.3919 [-(31-56*x+7*x^2)/(x-1)/(7*x-1)/(x-4) lgdogf] A198690 7.25103 [(96*f(x)+193)*(7*f(x)*x^2-8*f(x)*x+f(x)+2*x-8) ogf] A198690 7.68783 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=8,a(1)=62} ogf] A198691 14.1798 [-3*(x-3)/(7*x-1)/(x-1) ogf] A198691 17.3919 [-(23-42*x+7*x^2)/(x-1)/(x-3)/(7*x-1) lgdogf] A198691 7.16956 [(142*f(x)+309)*(7*f(x)*x^2-8*f(x)*x+f(x)+3*x-9) ogf] A198691 7.68783 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=9,a(1)=69} ogf] A198692 12.5459 [-2*(2*x-5)/(7*x-1)/(x-1) ogf] A198692 14.1333 [-2*(19-35*x+7*x^2)/(2*x-5)/(x-1)/(7*x-1) lgdogf] A198692 6.41233 [(117*f(x)+274)*(7*f(x)*x^2-8*f(x)*x+f(x)+4*x-10) ogf] A198692 6.87036 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=10,a(1)=76} ogf] A198693 14.0052 [(x+2)/(4*x-1)/(x-1) ogf] A198693 16.6944 [-(-11+16*x+4*x^2)/(x-1)/(x+2)/(4*x-1) lgdogf] A198693 7.24407 [(39*f(x)+43)*(4*f(x)*x^2-5*f(x)*x+f(x)-x-2) ogf] A198693 7.59317 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=2,a(1)=11} ogf] A198694 13.3258 [-3*(x-2)/(4*x-1)/(x-1) ogf] A198694 16.7799 [-(9-16*x+4*x^2)/(x-1)/(x-2)/(4*x-1) lgdogf] A198694 6.58969 [(2090*f(x)+7143)*(4*f(x)*x^2-5*f(x)*x+f(x)+3*x-6) ogf] A198694 7.22484 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=6,a(1)=27} ogf] A198695 13.3721 [-(7*x-10)/(4*x-1)/(x-1) ogf] A198695 15.0688 [-(43-80*x+28*x^2)/(7*x-10)/(x-1)/(4*x-1) lgdogf] A198695 6.83464 [(135*f(x)+499)*(4*f(x)*x^2-5*f(x)*x+f(x)+7*x-10) ogf] A198695 7.32282 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=10,a(1)=43} ogf] A198698 11.8075 [(7*x+2)/(10*x-1)/(x-1) ogf] A198698 13.2534 [-(-29+40*x+70*x^2)/(x-1)/(7*x+2)/(10*x-1) lgdogf] A198698 6.09837 [(279*f(x)+283)*(10*f(x)*x^2-11*f(x)*x+f(x)-7*x-2) ogf] A198698 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=2,a(1)=29} ogf] A198699 11.8075 [3*(x+2)/(10*x-1)/(x-1) ogf] A198699 13.9331 [-(-23+40*x+10*x^2)/(x-1)/(x+2)/(10*x-1) lgdogf] A198699 6.16613 [(71*f(x)+103)*(10*f(x)*x^2-11*f(x)*x+f(x)-3*x-6) ogf] A198699 6.52884 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=6,a(1)=69} ogf] A198700 11.2148 [-(x-10)/(10*x-1)/(x-1) ogf] A198700 12.8531 [-(109-200*x+10*x^2)/(x-1)/(x-10)/(10*x-1) lgdogf] A198700 5.78829 [(999*f(x)+1891)*(10*f(x)*x^2-11*f(x)*x+f(x)+x-10) ogf] A198700 6.18747 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=10,a(1)=109} ogf] A198710 4.19656 [-(9965610*f(x)-11080573)*(27*f(x)*x^3-45*f(x)*x^2+19*f(x)*x+16*x^2-f(x)-13*x+2) ogf] A198710 4.73002 [{-a(n+3)+19*a(n+2)-45*a(n+1)+27*a(n),a(0)=2,a(1)=25,a(2)=401} ogf] A198710 7.49054 [-(25-148*x+443*x^2+432*x^4-702*x^3)/(x-1)/(27*x^2-18*x+1)/(16*x^2-13*x+2) lgdogf] A198710 8.45670 [-(16*x^2-13*x+2)/(x-1)/(27*x^2-18*x+1) ogf] A198711 3.02399 [(6755857197244536*f(x)-16768254585028367)*(263*f(x)*x^4-530*f(x)*x^3+312*f(x)*x^2+163*x^3-46*f(x)*x-196*x^2+f(x)+58*x-5) ogf] A198711 6.11593 [-(163*x^3-196*x^2+58*x-5)/(x-1)/(263*x^3-267*x^2+45*x-1) ogf] A198717 4.92732 [-(4419*x^4-3517*x^3+732*x^2-51*x+1)/(x-1)/(3*x-1)/(31*x-1)/(13*x-1)/(7*x-1) ogf] A198762 14.2875 [2*(x+1)/(5*x-1)/(x-1) ogf] A198762 17.5159 [-(-7+10*x+5*x^2)/(x-1)/(5*x-1)/(x+1) lgdogf] A198762 7.39008 [(16*f(x)+17)*(5*f(x)*x^2-6*f(x)*x+f(x)-2*x-2) ogf] A198762 7.74622 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=2,a(1)=14} ogf] A198763 14.4248 [(x+3)/(5*x-1)/(x-1) ogf] A198763 17.2096 [-(-19+30*x+5*x^2)/(x-1)/(x+3)/(5*x-1) lgdogf] A198763 7.37635 [(84*f(x)+109)*(5*f(x)*x^2-6*f(x)*x+f(x)-x-3) ogf] A198763 7.82070 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=3,a(1)=19} ogf] A198764 14.6996 [-(x-5)/(5*x-1)/(x-1) ogf] A198764 18.0311 [-(29-50*x+5*x^2)/(x-1)/(x-5)/(5*x-1) lgdogf] A198764 7.43239 [(124*f(x)+221)*(5*f(x)*x^2-6*f(x)*x+f(x)+x-5) ogf] A198764 7.96967 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=5,a(1)=29} ogf] A198765 12.1826 [-2*(x-3)/(5*x-1)/(x-1) ogf] A198765 14.8954 [-(17-30*x+5*x^2)/(x-1)/(x-3)/(5*x-1) lgdogf] A198765 6.30137 [(36*f(x)+73)*(5*f(x)*x^2-6*f(x)*x+f(x)+2*x-6) ogf] A198765 6.60505 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=6,a(1)=34} ogf] A198766 14.4248 [-(x-3)/(5*x-1)/(x-1) ogf] A198766 17.6876 [-(17-30*x+5*x^2)/(x-1)/(x-3)/(5*x-1) lgdogf] A198766 7.46114 [(72*f(x)+73)*(5*f(x)*x^2-6*f(x)*x+f(x)+x-3) ogf] A198766 7.82070 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=3,a(1)=17} ogf] A198767 13.4635 [-(3*x-7)/(5*x-1)/(x-1) ogf] A198767 15.2226 [-(39-70*x+15*x^2)/(x-1)/(3*x-7)/(5*x-1) lgdogf] A198767 6.80742 [(164*f(x)+373)*(5*f(x)*x^2-6*f(x)*x+f(x)+3*x-7) ogf] A198767 7.29951 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=7,a(1)=39} ogf] A198768 13.5989 [-4*(x-2)/(5*x-1)/(x-1) ogf] A198768 16.6603 [-(11-20*x+5*x^2)/(x-1)/(x-2)/(5*x-1) lgdogf] A198768 7.0339 [(23*f(x)+58)*(5*f(x)*x^2-6*f(x)*x+f(x)+4*x-8) ogf] A198768 7.37288 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=8,a(1)=44} ogf] A198769 14.1501 [-(x-2)/(5*x-1)/(x-1) ogf] A198769 17.3442 [-(11-20*x+5*x^2)/(x-1)/(x-2)/(5*x-1) lgdogf] A198769 7.31902 [(46*f(x)+29)*(5*f(x)*x^2-6*f(x)*x+f(x)+x-2) ogf] A198769 7.67173 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=2,a(1)=11} ogf] A198770 13.5018 [-2*(3*x-5)/(5*x-1)/(x-1) ogf] A198770 15.6129 [-(27-50*x+15*x^2)/(x-1)/(5*x-1)/(3*x-5) lgdogf] A198770 6.97846 [(56*f(x)+169)*(5*f(x)*x^2-6*f(x)*x+f(x)+6*x-10) ogf] A198770 7.39383 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=10,a(1)=54} ogf] A198771 14.6996 [-(3*x-5)/(5*x-1)/(x-1) ogf] A198771 16.6441 [-(27-50*x+15*x^2)/(x-1)/(5*x-1)/(3*x-5) lgdogf] A198771 7.43239 [(112*f(x)+169)*(5*f(x)*x^2-6*f(x)*x+f(x)+3*x-5) ogf] A198771 7.96967 [{-a(n+2)+6*a(n+1)-5*a(n),a(0)=5,a(1)=27} ogf] A198786 11.9226 [-8*f(x)*x^2+f(x)^2+4*x^2-2*f(x)+1 ogf] A198786 26.2993 [2*(2*x+(1+4*x^2)^(1/2))/(1+4*x^2) lgdogf] A198786 6.95482 [{(-4*n+8)*a(n)+(-n-1)*a(n+2),a(0)=1,a(1)=2,a(2)=4} ogf] A198794 14.4107 [(x+4)/(6*x-1)/(x-1) ogf] A198794 17.1974 [-(-29+48*x+6*x^2)/(x-1)/(6*x-1)/(x+4) lgdogf] A198794 7.81305 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=4,a(1)=29} ogf] A198794 8.05755 [(155*f(x)+221)*(6*f(x)*x^2-7*f(x)*x+f(x)-x-4) ogf] A198795 14.5460 [-(x-6)/(6*x-1)/(x-1) ogf] A198795 17.8443 [-(41-72*x+6*x^2)/(x-1)/(6*x-1)/(x-6) lgdogf] A198795 7.35475 [(215*f(x)+391)*(6*f(x)*x^2-7*f(x)*x+f(x)+x-6) ogf] A198795 7.88641 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=6,a(1)=41} ogf] A198796 12.7152 [(3*x+2)/(6*x-1)/(x-1) ogf] A198796 14.0050 [-(-17+24*x+18*x^2)/(x-1)/(6*x-1)/(3*x+2) lgdogf] A198796 6.57684 [(95*f(x)+99)*(6*f(x)*x^2-7*f(x)*x+f(x)-3*x-2) ogf] A198796 6.89378 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=2,a(1)=17} ogf] A198797 14.2754 [(2*x+3)/(6*x-1)/(x-1) ogf] A198797 15.7554 [-(-23+36*x+12*x^2)/(x-1)/(6*x-1)/(2*x+3) lgdogf] A198797 7.21791 [(125*f(x)+154)*(6*f(x)*x^2-7*f(x)*x+f(x)-2*x-3) ogf] A198797 7.73969 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=3,a(1)=23} ogf] A198807 3.38229 [[6227020800*x^12] ogf_with_Euler_transform] A198809 3.40893 [[39916800*x^10] ogf_with_Euler_transform] A198833 12.9371 [-(10+32*x+44*x^2+3*x^4+16*x^3)/(x-1)/(x^4+3*x^3+7*x^2+3*x+1) lgdogf] A198833 6.99302 [-(x^4+3*x^3+7*x^2+3*x+1)/(x-1)^7 ogf] A198834 21.5351 [-2*x^2/(x^2+x-1) ogf] A198834 43.8567 [-(2*x+1)/(x^2-1+x) lgdogf] A198834 7.96798 [{-a(n+3)+a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A198834 9.83701 [-f(x)*(f(x)*x^2+f(x)*x+2*x^2-f(x)) ogf] A198845 14.6814 [-(2*x-7)/(6*x-1)/(x-1) ogf] A198845 16.6278 [-(47-84*x+12*x^2)/(x-1)/(6*x-1)/(2*x-7) lgdogf] A198845 7.42316 [(245*f(x)+494)*(6*f(x)*x^2-7*f(x)*x+f(x)+2*x-7) ogf] A198845 7.95977 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=7,a(1)=47} ogf] A198846 14.6814 [-(3*x-8)/(6*x-1)/(x-1) ogf] A198846 16.6278 [-(53-96*x+18*x^2)/(x-1)/(6*x-1)/(3*x-8) lgdogf] A198846 7.42316 [(275*f(x)+609)*(6*f(x)*x^2-7*f(x)*x+f(x)+3*x-8) ogf] A198846 7.95977 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=8,a(1)=53} ogf] A198847 14.8167 [-(4*x-9)/(6*x-1)/(x-1) ogf] A198847 16.3643 [-(59-108*x+24*x^2)/(x-1)/(6*x-1)/(4*x-9) lgdogf] A198847 7.49158 [(305*f(x)+736)*(6*f(x)*x^2-7*f(x)*x+f(x)+4*x-9) ogf] A198847 8.03313 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=9,a(1)=59} ogf] A198848 14.5607 [-5*(x-2)/(6*x-1)/(x-1) ogf] A198848 18.2671 [-(13-24*x+6*x^2)/(x-1)/(x-2)/(6*x-1) lgdogf] A198848 7.52579 [(67*f(x)+175)*(6*f(x)*x^2-7*f(x)*x+f(x)+5*x-10) ogf] A198848 7.97374 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=10,a(1)=65} ogf] A198849 13.9371 [-(x-2)/(6*x-1)/(x-1) ogf] A198849 17.0831 [-(13-24*x+6*x^2)/(x-1)/(x-2)/(6*x-1) lgdogf] A198849 7.20887 [(67*f(x)+35)*(6*f(x)*x^2-7*f(x)*x+f(x)+x-2) ogf] A198849 7.55628 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=2,a(1)=13} ogf] A198850 12.5629 [(6*x+1)/(8*x-1)/(x-1) ogf] A198850 14.1937 [-(4*x+3)*(12*x-5)/(x-1)/(8*x-1)/(6*x+1) lgdogf] A198850 6.35205 [(119*f(x)+106)*(8*f(x)*x^2-9*f(x)*x+f(x)-6*x-1) ogf] A198850 6.81123 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=1,a(1)=15} ogf] A198851 12.7592 [(5*x+2)/(8*x-1)/(x-1) ogf] A198851 14.0597 [-(-23+32*x+40*x^2)/(x-1)/(5*x+2)/(8*x-1) lgdogf] A198851 6.4513 [(175*f(x)+179)*(8*f(x)*x^2-9*f(x)*x+f(x)-5*x-2) ogf] A198851 6.91766 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=2,a(1)=23} ogf] A198852 12.9555 [(4*x+3)/(8*x-1)/(x-1) ogf] A198852 14.2805 [-(-31+48*x+32*x^2)/(x-1)/(8*x-1)/(4*x+3) lgdogf] A198852 6.55055 [(231*f(x)+268)*(8*f(x)*x^2-9*f(x)*x+f(x)-4*x-3) ogf] A198852 7.02408 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=3,a(1)=31} ogf] A198853 13.0864 [(3*x+4)/(8*x-1)/(x-1) ogf] A198853 14.4278 [-(-39+64*x+24*x^2)/(x-1)/(3*x+4)/(8*x-1) lgdogf] A198853 6.61672 [(287*f(x)+373)*(8*f(x)*x^2-9*f(x)*x+f(x)-3*x-4) ogf] A198853 7.09504 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=4,a(1)=39} ogf] A198854 13.2173 [(2*x+5)/(8*x-1)/(x-1) ogf] A198854 14.5750 [-(-47+80*x+16*x^2)/(2*x+5)/(x-1)/(8*x-1) lgdogf] A198854 6.68288 [(343*f(x)+494)*(8*f(x)*x^2-9*f(x)*x+f(x)-2*x-5) ogf] A198854 7.16599 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=5,a(1)=47} ogf] A198855 13.2173 [(x+6)/(8*x-1)/(x-1) ogf] A198855 15.7567 [-(-55+96*x+8*x^2)/(x-1)/(8*x-1)/(x+6) lgdogf] A198855 6.68288 [(399*f(x)+631)*(8*f(x)*x^2-9*f(x)*x+f(x)-x-6) ogf] A198855 7.16599 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=6,a(1)=55} ogf] A198856 13.2827 [-(x-8)/(8*x-1)/(x-1) ogf] A198856 15.8363 [-(71-128*x+8*x^2)/(x-1)/(8*x-1)/(x-8) lgdogf] A198856 6.71597 [(511*f(x)+953)*(8*f(x)*x^2-9*f(x)*x+f(x)+x-8) ogf] A198856 7.20146 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=8,a(1)=71} ogf] A198857 13.3481 [-(2*x-9)/(8*x-1)/(x-1) ogf] A198857 14.7222 [-(79-144*x+16*x^2)/(x-1)/(8*x-1)/(2*x-9) lgdogf] A198857 6.67406 [(567*f(x)+1138)*(8*f(x)*x^2-9*f(x)*x+f(x)+2*x-9) ogf] A198857 7.23694 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=9,a(1)=79} ogf] A198858 13.1220 [-(3*x-10)/(8*x-1)/(x-1) ogf] A198858 14.4349 [-(87-160*x+24*x^2)/(3*x-10)/(x-1)/(8*x-1) lgdogf] A198858 6.63308 [(623*f(x)+1339)*(8*f(x)*x^2-9*f(x)*x+f(x)+3*x-10) ogf] A198858 7.18583 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=10,a(1)=87} ogf] A198859 12.8019 [(7*x+1)/(9*x-1)/(x-1) ogf] A198859 14.4278 [-(-17+18*x+63*x^2)/(x-1)/(7*x+1)/(9*x-1) lgdogf] A198859 6.5432 [(152*f(x)+137)*(9*f(x)*x^2-10*f(x)*x+f(x)-7*x-1) ogf] A198859 7.01057 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=1,a(1)=17} ogf] A198862 14.0106 [(3*x-1)/(x^4-x+1) ogf] A198862 20.3487 [-(-2+9*x^4-4*x^3)/(3*x-1)/(x^4-x+1) lgdogf] A198862 7.24684 [(13*f(x)-14)*(f(x)*x^4-f(x)*x+f(x)-3*x+1) ogf] A198888 40.5538 [-x*(-1+x^3+x^4)/(1+x) revogf] A198900 4.11659 [-(2319160*f(x)+1896451)*(39*f(x)*x^3-55*f(x)*x^2+17*f(x)*x+20*x^2-f(x)-13*x+1) ogf] A198900 4.68440 [{-a(n+3)+17*a(n+2)-55*a(n+1)+39*a(n),a(0)=1,a(1)=4,a(2)=33} ogf] A198900 7.18687 [-2*(2-35*x+246*x^2+390*x^4-507*x^3)/(x-1)/(3*x-1)/(13*x-1)/(20*x^2-13*x+1) lgdogf] A198900 8.23318 [-(20*x^2-13*x+1)/(x-1)/(3*x-1)/(13*x-1) ogf] A198901 4.77602 [-(139*x^4-434*x^3+314*x^2-69*x+2)/(x-1)/(2*x^2-5*x+1)/(116*x^2-45*x+1) ogf] A198908 3.98538 [-(128772*x^5-107312*x^4+25272*x^3-2295*x^2+84*x-1)/(x-1)/(43*x-1)/(13*x-1)/(7*x-1)/(3*x-1)/(21*x-1) ogf] A198943 9.41669 [(x+1)*(x^4+8*x^3+33*x^2+8*x+1)/(x^6-38*x^3+1) ogf] A198947 10.5634 [-(7+26*x+137*x^2-x^4+14*x^5+x^6-4*x^3)/(x-1)/(x^2+8*x+1)/(x^4-20*x^2+1) lgdogf] A198947 11.5587 [-(x-1)*(x^2+8*x+1)/(x^4-20*x^2+1) ogf] A198947 6.93521 [(35910*f(x)-15313)*(f(x)*x^4-20*f(x)*x^2+x^3+7*x^2+f(x)-7*x-1) ogf] A198949 10.7960 [(x+1)*(x^2+22*x+1)/(x^4-20*x^2+1) ogf] A198949 6.43974 [(395010*f(x)+273943)*(f(x)*x^4-20*f(x)*x^2-x^3-23*x^2+f(x)-23*x-1) ogf] A198949 9.36906 [-(-23-86*x-463*x^2+89*x^4+46*x^5+x^6+4*x^3)/(x+1)/(x^2+22*x+1)/(x^4-20*x^2+1) lgdogf] A198951 40.8464 [x/(x^2-x+1)/(x+1)^2 revogf] A198953 17.1892 [1/2/(x+1)*(1+(1-4*x^3-8*x^2-4*x)^(1/2))*x revogf] A198958 15.6126 [-(-12*x-6)/(x^2+x+1) ogf_with_Euler_transform] A198960 13.0580 [2*(3*x+1)/(9*x-1)/(x-1) ogf] A198960 14.7222 [-(-13+18*x+27*x^2)/(x-1)/(3*x+1)/(9*x-1) lgdogf] A198960 6.82574 [(56*f(x)+57)*(9*f(x)*x^2-10*f(x)*x+f(x)-6*x-2) ogf] A198960 7.15079 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=2,a(1)=26} ogf] A198961 13.2500 [(5*x+3)/(9*x-1)/(x-1) ogf] A198961 15.3262 [-(3*x+5)*(15*x-7)/(x-1)/(9*x-1)/(5*x+3) lgdogf] A198961 6.77221 [(296*f(x)+337)*(9*f(x)*x^2-10*f(x)*x+f(x)-5*x-3) ogf] A198961 7.25594 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=3,a(1)=35} ogf] A198962 13.3780 [4*(x+1)/(9*x-1)/(x-1) ogf] A198962 16.3138 [-(-11+18*x+9*x^2)/(x-1)/(9*x-1)/(x+1) lgdogf] A198962 6.99304 [(23*f(x)+29)*(9*f(x)*x^2-10*f(x)*x+f(x)-4*x-4) ogf] A198962 7.32605 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=4,a(1)=44} ogf] A198963 13.5060 [(3*x+5)/(9*x-1)/(x-1) ogf] A198963 15.2375 [-(-53+90*x+27*x^2)/(3*x+5)/(x-1)/(9*x-1) lgdogf] A198963 6.90307 [(440*f(x)+609)*(9*f(x)*x^2-10*f(x)*x+f(x)-3*x-5) ogf] A198963 7.39615 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=5,a(1)=53} ogf] A198964 13.1220 [(x+3)/(9*x-1)/(x-1) ogf] A198964 15.9955 [-(-31+54*x+9*x^2)/(x-1)/(x+3)/(9*x-1) lgdogf] A198964 6.70678 [(256*f(x)+193)*(9*f(x)*x^2-10*f(x)*x+f(x)-x-3) ogf] A198964 7.18583 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=3,a(1)=31} ogf] A198965 13.5700 [2*(x+3)/(9*x-1)/(x-1) ogf] A198965 16.5525 [-(-31+54*x+9*x^2)/(x-1)/(x+3)/(9*x-1) lgdogf] A198965 6.93579 [(128*f(x)+193)*(9*f(x)*x^2-10*f(x)*x+f(x)-2*x-6) ogf] A198965 7.43120 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=6,a(1)=62} ogf] A198966 13.5700 [(x+7)/(9*x-1)/(x-1) ogf] A198966 16.1169 [-(-71+126*x+9*x^2)/(x-1)/(x+7)/(9*x-1) lgdogf] A198966 6.93579 [(584*f(x)+953)*(9*f(x)*x^2-10*f(x)*x+f(x)-x-7) ogf] A198966 7.43120 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=7,a(1)=71} ogf] A198967 13.5700 [-(x-9)/(9*x-1)/(x-1) ogf] A198967 16.5525 [-(89-162*x+9*x^2)/(x-1)/(9*x-1)/(x-9) lgdogf] A198967 6.85957 [(728*f(x)+1369)*(9*f(x)*x^2-10*f(x)*x+f(x)+x-9) ogf] A198967 7.43120 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=9,a(1)=89} ogf] A198968 13.3440 [-2*(x-5)/(9*x-1)/(x-1) ogf] A198968 17.0941 [-(49-90*x+9*x^2)/(x-5)/(x-1)/(9*x-1) lgdogf] A198968 6.89193 [(200*f(x)+401)*(9*f(x)*x^2-10*f(x)*x+f(x)+2*x-10) ogf] A198968 7.37842 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=10,a(1)=98} ogf] A198969 13.4420 [-(x-5)/(9*x-1)/(x-1) ogf] A198969 16.8487 [-(49-90*x+9*x^2)/(x-5)/(x-1)/(9*x-1) lgdogf] A198969 6.87036 [(400*f(x)+401)*(9*f(x)*x^2-10*f(x)*x+f(x)+x-5) ogf] A198969 7.36110 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=5,a(1)=49} ogf] A198970 13.2813 [3*(2*x+1)/(10*x-1)/(x-1) ogf] A198970 14.9376 [-(-13+20*x+20*x^2)/(x-1)/(2*x+1)/(10*x-1) lgdogf] A198970 7.01372 [(41*f(x)+46)*(10*f(x)*x^2-11*f(x)*x+f(x)-6*x-3) ogf] A198970 7.34378 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=3,a(1)=39} ogf] A198971 13.2813 [(5*x+4)/(10*x-1)/(x-1) ogf] A198971 14.9376 [-(-49+80*x+50*x^2)/(x-1)/(5*x+4)/(10*x-1) lgdogf] A198971 6.85957 [(459*f(x)+565)*(10*f(x)*x^2-11*f(x)*x+f(x)-5*x-4) ogf] A198971 7.34378 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=4,a(1)=49} ogf] A198972 13.2813 [(x+2)/(10*x-1)/(x-1) ogf] A198972 15.7037 [-(-23+40*x+10*x^2)/(x-1)/(x+2)/(10*x-1) lgdogf] A198972 6.85957 [(213*f(x)+103)*(10*f(x)*x^2-11*f(x)*x+f(x)-x-2) ogf] A198972 7.34378 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=2,a(1)=23} ogf] A198973 13.2813 [(2*x+7)/(10*x-1)/(x-1) ogf] A198973 14.5820 [-(-79+140*x+20*x^2)/(x-1)/(2*x+7)/(10*x-1) lgdogf] A198973 6.78501 [(729*f(x)+1138)*(10*f(x)*x^2-11*f(x)*x+f(x)-2*x-7) ogf] A198973 7.34378 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=7,a(1)=79} ogf] A198974 13.4066 [(9*x+1)/(11*x-1)/(x-1) ogf] A198974 15.0813 [-(-21+22*x+99*x^2)/(x-1)/(11*x-1)/(9*x+1) lgdogf] A198974 6.92429 [(230*f(x)+211)*(11*f(x)*x^2-12*f(x)*x+f(x)-9*x-1) ogf] A198974 7.41306 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=1,a(1)=21} ogf] A198976 3.27044 [(3776016*f(x)+14734063)*(441*f(x)*x^4-672*f(x)*x^3+262*f(x)*x^2+231*x^3-32*f(x)*x-168*x^2+f(x)+28*x-1) ogf] A198976 5.95292 [-(231*x^3-168*x^2+28*x-1)/(x-1)/(3*x-1)/(7*x-1)/(21*x-1) ogf] A199015 29.3195 [-(3+x)/(-x-1) ogf_with_Euler_transform] A199018 13.2813 [(4*x+1)/(11*x-1)/(x-1) ogf] A199018 14.5820 [-2*(-8+11*x+22*x^2)/(x-1)/(4*x+1)/(11*x-1) lgdogf] A199018 7.01372 [(85*f(x)+43)*(11*f(x)*x^2-12*f(x)*x+f(x)-4*x-1) ogf] A199018 7.34378 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=1,a(1)=16} ogf] A199019 12.1150 [2*(4*x+1)/(11*x-1)/(x-1) ogf] A199019 13.2819 [-2*(-8+11*x+22*x^2)/(x-1)/(4*x+1)/(11*x-1) lgdogf] A199019 5.99372 [(29945*f(x)+71182)*(11*f(x)*x^2-12*f(x)*x+f(x)-8*x-2) ogf] A199019 6.69886 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=2,a(1)=32} ogf] A199020 12.2994 [(7*x+3)/(11*x-1)/(x-1) ogf] A199020 13.8174 [-(-43+66*x+77*x^2)/(x-1)/(7*x+3)/(11*x-1) lgdogf] A199020 6.35247 [(450*f(x)+499)*(11*f(x)*x^2-12*f(x)*x+f(x)-7*x-3) ogf] A199020 6.80087 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=3,a(1)=43} ogf] A199021 11.9920 [(3*x+2)/(11*x-1)/(x-1) ogf] A199021 13.4649 [-(-27+44*x+33*x^2)/(x-1)/(3*x+2)/(11*x-1) lgdogf] A199021 6.19365 [(280*f(x)+169)*(11*f(x)*x^2-12*f(x)*x+f(x)-3*x-2) ogf] A199021 6.63085 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=2,a(1)=27} ogf] A199022 12.4224 [2*(3*x+2)/(11*x-1)/(x-1) ogf] A199022 13.9584 [-(-27+44*x+33*x^2)/(x-1)/(3*x+2)/(11*x-1) lgdogf] A199022 6.41599 [(140*f(x)+169)*(11*f(x)*x^2-12*f(x)*x+f(x)-6*x-4) ogf] A199022 6.86888 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=4,a(1)=54} ogf] A199023 11.8075 [(x+1)/(11*x-1)/(x-1) ogf] A199023 13.9331 [-(-13+22*x+11*x^2)/(x-1)/(11*x-1)/(x+1) lgdogf] A199023 6.16613 [(134*f(x)+35)*(11*f(x)*x^2-12*f(x)*x+f(x)-x-1) ogf] A199023 6.52884 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=1,a(1)=13} ogf] A199024 12.5454 [5*(x+1)/(11*x-1)/(x-1) ogf] A199024 14.8224 [-(-13+22*x+11*x^2)/(x-1)/(11*x-1)/(x+1) lgdogf] A199024 6.47951 [(134*f(x)+175)*(11*f(x)*x^2-12*f(x)*x+f(x)-5*x-5) ogf] A199024 6.93688 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=5,a(1)=65} ogf] A199025 12.1764 [(2*x+3)/(11*x-1)/(x-1) ogf] A199025 13.0403 [-2*(-19+33*x+11*x^2)/(x-1)/(2*x+3)/(11*x-1) lgdogf] A199025 6.28894 [(195*f(x)+137)*(11*f(x)*x^2-12*f(x)*x+f(x)-2*x-3) ogf] A199025 6.73286 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=3,a(1)=38} ogf] A199026 12.6684 [2*(2*x+3)/(11*x-1)/(x-1) ogf] A199026 13.5780 [-2*(-19+33*x+11*x^2)/(x-1)/(2*x+3)/(11*x-1) lgdogf] A199026 6.54304 [(195*f(x)+274)*(11*f(x)*x^2-12*f(x)*x+f(x)-4*x-6) ogf] A199026 7.00489 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=6,a(1)=76} ogf] A199027 12.7299 [(3*x+7)/(11*x-1)/(x-1) ogf] A199027 13.9701 [-(-87+154*x+33*x^2)/(x-1)/(3*x+7)/(11*x-1) lgdogf] A199027 6.50334 [(890*f(x)+1339)*(11*f(x)*x^2-12*f(x)*x+f(x)-3*x-7) ogf] A199027 7.03891 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=7,a(1)=87} ogf] A199028 12.3609 [(x+4)/(11*x-1)/(x-1) ogf] A199028 14.6001 [-(-49+88*x+11*x^2)/(x-1)/(x+4)/(11*x-1) lgdogf] A199028 6.38423 [(500*f(x)+401)*(11*f(x)*x^2-12*f(x)*x+f(x)-x-4) ogf] A199028 6.83487 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=4,a(1)=49} ogf] A199029 12.7914 [2*(x+4)/(11*x-1)/(x-1) ogf] A199029 15.1189 [-(-49+88*x+11*x^2)/(x-1)/(x+4)/(11*x-1) lgdogf] A199029 6.60656 [(250*f(x)+401)*(11*f(x)*x^2-12*f(x)*x+f(x)-2*x-8) ogf] A199029 7.07291 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=8,a(1)=98} ogf] A199030 12.8529 [(x+9)/(11*x-1)/(x-1) ogf] A199030 14.4519 [-(-109+198*x+11*x^2)/(x-1)/(x+9)/(11*x-1) lgdogf] A199030 6.49557 [(1110*f(x)+1891)*(11*f(x)*x^2-12*f(x)*x+f(x)-x-9) ogf] A199030 7.02427 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=9,a(1)=109} ogf] A199031 12.1034 [(10*x+1)/(12*x-1)/(x-1) ogf] A199031 13.2419 [-(-23+24*x+120*x^2)/(x-1)/(10*x+1)/(12*x-1) lgdogf] A199031 6.31483 [(275*f(x)+254)*(12*f(x)*x^2-13*f(x)*x+f(x)-10*x-1) ogf] A199031 6.83487 [{-a(n+2)+13*a(n+1)-12*a(n),a(0)=1,a(1)=23} ogf] A199032 12.4839 [(9*x+2)/(12*x-1)/(x-1) ogf] A199032 14.3796 [-(6*x+5)*(18*x-7)/(x-1)/(9*x+2)/(12*x-1) lgdogf] A199032 6.44775 [(407*f(x)+411)*(12*f(x)*x^2-13*f(x)*x+f(x)-9*x-2) ogf] A199032 6.90288 [{-a(n+2)+13*a(n+1)-12*a(n),a(0)=2,a(1)=35} ogf] A199033 5.3784 [27*f(x)^3*x^4+104*f(x)^3*x^3-16*f(x)^3*x^2+54*f(x)^2*x^2-8*f(x)^2*x+12*f(x)*x-f(x)+1 ogf] A199042 46.7777 [1/(1+2*x+2*x^2) lgdegf] A199042 5.78915 [{(-2*n^2-2*n)*a(n)+(-2*n-1)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A199085 10.6123 [(1+2*x+5*x^2+7*x^4-2*x^5+x^8+6*x^3-2*x^7)/(x-1)/(x^2+x+1)/(x^6-2*x^4-x^2+x-1) lgdogf] A199085 8.95965 [(x^6-2*x^4-x^2+x-1)/(x^2+x+1)/(x-1)^3 ogf] A199106 12.5454 [(8*x+3)/(12*x-1)/(x-1) ogf] A199106 14.0994 [-(-47+72*x+96*x^2)/(x-1)/(12*x-1)/(8*x+3) lgdogf] A199106 6.47951 [(539*f(x)+592)*(12*f(x)*x^2-13*f(x)*x+f(x)-8*x-3) ogf] A199106 6.93688 [{-a(n+2)+13*a(n+1)-12*a(n),a(0)=3,a(1)=47} ogf] A199107 12.7299 [(7*x+4)/(12*x-1)/(x-1) ogf] A199107 14.3109 [-(-59+96*x+84*x^2)/(x-1)/(12*x-1)/(7*x+4) lgdogf] A199107 6.5748 [(671*f(x)+797)*(12*f(x)*x^2-13*f(x)*x+f(x)-7*x-4) ogf] A199107 7.03891 [{-a(n+2)+13*a(n+1)-12*a(n),a(0)=4,a(1)=59} ogf] A199108 15.4217 [-(7*x-5)/(3*x-1)/(x-1) ogf] A199108 17.4601 [-(13-30*x+21*x^2)/(7*x-5)/(x-1)/(3*x-1) lgdogf] A199108 7.62609 [-(22*f(x)+59)*(3*f(x)*x^2-4*f(x)*x+f(x)+7*x-5) ogf] A199108 8.36114 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=5,a(1)=13} ogf] A199109 15.2769 [-(5*x-4)/(3*x-1)/(x-1) ogf] A199109 17.2930 [-(11-24*x+15*x^2)/(x-1)/(5*x-4)/(3*x-1) lgdogf] A199109 8.14905 [-(20*f(x)+41)*(3*f(x)*x^2-4*f(x)*x+f(x)+5*x-4) ogf] A199109 8.28264 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=4,a(1)=11} ogf] A199110 15.5114 [-2*(5*x-4)/(3*x-1)/(x-1) ogf] A199110 17.9613 [-(11-24*x+15*x^2)/(x-1)/(5*x-4)/(3*x-1) lgdogf] A199110 7.75569 [-(10*f(x)+41)*(3*f(x)*x^2-4*f(x)*x+f(x)+10*x-8) ogf] A199110 8.59667 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=8,a(1)=22} ogf] A199111 15.5822 [-(11*x-9)/(3*x-1)/(x-1) ogf] A199111 17.5937 [-(25-54*x+33*x^2)/(x-1)/(3*x-1)/(11*x-9) lgdogf] A199111 7.70733 [-(46*f(x)+211)*(3*f(x)*x^2-4*f(x)*x+f(x)+11*x-9) ogf] A199111 8.63593 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=9,a(1)=25} ogf] A199112 14.3137 [-(13*x-11)/(3*x-1)/(x-1) ogf] A199112 16.0944 [-(31-66*x+39*x^2)/(13*x-11)/(x-1)/(3*x-1) lgdogf] A199112 7.15686 [-(58*f(x)+323)*(3*f(x)*x^2-4*f(x)*x+f(x)+13*x-11) ogf] A199112 8.00888 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=11,a(1)=31} ogf] A199113 15.6389 [-(7*x-6)/(3*x-1)/(x-1) ogf] A199113 17.7107 [-(17-36*x+21*x^2)/(x-1)/(3*x-1)/(7*x-6) lgdogf] A199113 7.7335 [-(32*f(x)+97)*(3*f(x)*x^2-4*f(x)*x+f(x)+7*x-6) ogf] A199113 8.47892 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=6,a(1)=17} ogf] A199114 14.4507 [-2*(7*x-6)/(3*x-1)/(x-1) ogf] A199114 17.0848 [-(17-36*x+21*x^2)/(x-1)/(3*x-1)/(7*x-6) lgdogf] A199114 7.30304 [-(16*f(x)+97)*(3*f(x)*x^2-4*f(x)*x+f(x)+14*x-12) ogf] A199114 8.08552 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=12,a(1)=34} ogf] A199115 14.2839 [-3*(3*x-2)/(4*x-1)/(x-1) ogf] A199115 16.5851 [-(7-16*x+12*x^2)/(x-1)/(4*x-1)/(3*x-2) lgdogf] A199115 7.06348 [-(19*f(x)+33)*(4*f(x)*x^2-5*f(x)*x+f(x)+9*x-6) ogf] A199115 7.74428 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=6,a(1)=21} ogf] A199116 14.1779 [-(10*x-7)/(4*x-1)/(x-1) ogf] A199116 15.9910 [-(25-56*x+40*x^2)/(x-1)/(4*x-1)/(10*x-7) lgdogf] A199116 7.01272 [-(69*f(x)+142)*(4*f(x)*x^2-5*f(x)*x+f(x)+10*x-7) ogf] A199116 7.85761 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=7,a(1)=25} ogf] A199142 6.93148 [-x*(x^4+3*x^3-2*x^2-2*x+1)/(x-1)/(3*x^2+x-1)/(x^2+x-1) ogf] A199207 13.0361 [-(11*x-8)/(4*x-1)/(x-1) ogf] A199207 14.6824 [-(29-64*x+44*x^2)/(x-1)/(11*x-8)/(4*x-1) lgdogf] A199207 6.44798 [-(81*f(x)+193)*(4*f(x)*x^2-5*f(x)*x+f(x)+11*x-8) ogf] A199207 7.22484 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=8,a(1)=29} ogf] A199208 12.8245 [-(13*x-10)/(4*x-1)/(x-1) ogf] A199208 14.3997 [-(37-80*x+52*x^2)/(13*x-10)/(x-1)/(4*x-1) lgdogf] A199208 6.34477 [-(105*f(x)+319)*(4*f(x)*x^2-5*f(x)*x+f(x)+13*x-10) ogf] A199208 7.17563 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=10,a(1)=37} ogf] A199209 13.0876 [-(14*x-11)/(4*x-1)/(x-1) ogf] A199209 14.7013 [-(41-88*x+56*x^2)/(14*x-11)/(x-1)/(4*x-1) lgdogf] A199209 6.47492 [-(117*f(x)+394)*(4*f(x)*x^2-5*f(x)*x+f(x)+14*x-11) ogf] A199209 7.32282 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=11,a(1)=41} ogf] A199210 14.0749 [-(5*x-4)/(4*x-1)/(x-1) ogf] A199210 15.9186 [-(15-32*x+20*x^2)/(x-1)/(5*x-4)/(4*x-1) lgdogf] A199210 6.96011 [-(43*f(x)+53)*(4*f(x)*x^2-5*f(x)*x+f(x)+5*x-4) ogf] A199210 7.63095 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=4,a(1)=15} ogf] A199211 13.0876 [-3*(5*x-4)/(4*x-1)/(x-1) ogf] A199211 15.4552 [-(15-32*x+20*x^2)/(x-1)/(5*x-4)/(4*x-1) lgdogf] A199211 6.5438 [-(43*f(x)+159)*(4*f(x)*x^2-5*f(x)*x+f(x)+15*x-12) ogf] A199211 7.32282 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=12,a(1)=45} ogf] A199212 14.0127 [-(7*x-3)/(5*x-1)/(x-1) ogf] A199212 15.8515 [-(11-30*x+35*x^2)/(x-1)/(7*x-3)/(5*x-1) lgdogf] A199212 6.92937 [-(36*f(x)+13)*(5*f(x)*x^2-6*f(x)*x+f(x)+7*x-3) ogf] A199212 7.59725 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=3,a(1)=11} ogf] A199213 13.8066 [-2*(2*x-1)/(5*x-1)/(x-1) ogf] A199213 16.0246 [-2*(2-5*x+5*x^2)/(x-1)/(2*x-1)/(5*x-1) lgdogf] A199213 6.75326 [-(281*f(x)-50)*(5*f(x)*x^2-6*f(x)*x+f(x)+4*x-2) ogf] A199213 7.57682 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=2,a(1)=8} ogf] A199214 14.2875 [-4*(2*x-1)/(5*x-1)/(x-1) ogf] A199214 16.5940 [-2*(2-5*x+5*x^2)/(x-1)/(2*x-1)/(5*x-1) lgdogf] A199214 6.9133 [-(281*f(x)-100)*(5*f(x)*x^2-6*f(x)*x+f(x)+8*x-4) ogf] A199214 7.74622 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=4,a(1)=16} ogf] A199215 14.4935 [-(9*x-5)/(5*x-1)/(x-1) ogf] A199215 16.4063 [-(21-50*x+45*x^2)/(x-1)/(9*x-5)/(5*x-1) lgdogf] A199215 7.16714 [-(76*f(x)+61)*(5*f(x)*x^2-6*f(x)*x+f(x)+9*x-5) ogf] A199215 7.85794 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=5,a(1)=21} ogf] A199216 14.3801 [-(11*x-7)/(5*x-1)/(x-1) ogf] A199216 16.2280 [-(31-70*x+55*x^2)/(x-1)/(5*x-1)/(11*x-7) lgdogf] A199216 7.03705 [-(116*f(x)+149)*(5*f(x)*x^2-6*f(x)*x+f(x)+11*x-7) ogf] A199216 7.96967 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=7,a(1)=31} ogf] A199247 27.3084 [-x*(x^2+x+1)*(x^2+x-1)/(x+1) revogf] A199248 25.6902 [x*(x-1)^2/(x^2-x+1)/(x^4-x^2+1) revogf] A199257 26.0840 [x*(x-1)^2/(x^2-x+1)/(x^2+1)^2 revogf] A199264 6.50964 [-(8*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x+9)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A199299 11.7151 [(6*x+1)/(6*x-1)^2 ogf] A199299 19.9568 [-18*(2*x+1)/(6*x-1)/(6*x+1) lgdogf] A199299 6.47776 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=1,a(1)=18} ogf] A199299 8.43959 [(16*f(x)+65)*(36*f(x)*x^2-12*f(x)*x+f(x)-6*x-1) ogf] A199300 11.1476 [-49*f(x)*x^2+14*f(x)*x-f(x)+7*x+1 ogf] A199300 12.4669 [(7*x+1)/(7*x-1)^2 ogf] A199300 22.0833 [-7*(3+7*x)/(7*x-1)/(7*x+1) lgdogf] A199300 6.89346 [{-a(n+2)+14*a(n+1)-49*a(n),a(0)=1,a(1)=21} ogf] A199301 14.5962 [(8*x+1)/(8*x-1)^2 ogf] A199301 23.2158 [-8*(3+8*x)/(8*x-1)/(8*x+1) lgdogf] A199301 7.70812 [(16*f(x)+65)*(64*f(x)*x^2-16*f(x)*x+f(x)-8*x-1) ogf] A199301 8.07085 [{-a(n+2)+16*a(n+1)-64*a(n),a(0)=1,a(1)=24} ogf] A199308 13.9440 [-(3*x-2)/(5*x-1)/(x-1) ogf] A199308 16.1873 [-(9-20*x+15*x^2)/(x-1)/(3*x-2)/(5*x-1) lgdogf] A199308 6.8954 [-(34*f(x)+13)*(5*f(x)*x^2-6*f(x)*x+f(x)+3*x-2) ogf] A199308 7.65221 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=2,a(1)=9} ogf] A199309 14.4248 [-2*(3*x-2)/(5*x-1)/(x-1) ogf] A199309 16.7567 [-(9-20*x+15*x^2)/(x-1)/(3*x-2)/(5*x-1) lgdogf] A199309 7.13317 [-(17*f(x)+13)*(5*f(x)*x^2-6*f(x)*x+f(x)+6*x-4) ogf] A199309 7.82070 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=4,a(1)=18} ogf] A199310 13.1708 [-4*(3*x-2)/(5*x-1)/(x-1) ogf] A199310 15.6232 [-(9-20*x+15*x^2)/(x-1)/(3*x-2)/(5*x-1) lgdogf] A199310 6.58543 [-(17*f(x)+26)*(5*f(x)*x^2-6*f(x)*x+f(x)+12*x-8) ogf] A199310 7.29951 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=8,a(1)=36} ogf] A199311 13.2370 [-(13*x-9)/(5*x-1)/(x-1) ogf] A199311 14.9181 [-(41-90*x+65*x^2)/(x-1)/(5*x-1)/(13*x-9) lgdogf] A199311 6.47771 [-(156*f(x)+277)*(5*f(x)*x^2-6*f(x)*x+f(x)+13*x-9) ogf] A199311 7.33619 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=9,a(1)=41} ogf] A199312 14.5622 [-(7*x-5)/(5*x-1)/(x-1) ogf] A199312 16.4855 [-(23-50*x+35*x^2)/(x-1)/(7*x-5)/(5*x-1) lgdogf] A199312 7.20111 [-(88*f(x)+89)*(5*f(x)*x^2-6*f(x)*x+f(x)+7*x-5) ogf] A199312 7.89518 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=5,a(1)=23} ogf] A199313 13.0850 [-2*(7*x-5)/(5*x-1)/(x-1) ogf] A199313 15.4568 [-(23-50*x+35*x^2)/(x-1)/(7*x-5)/(5*x-1) lgdogf] A199313 6.61283 [-(44*f(x)+89)*(5*f(x)*x^2-6*f(x)*x+f(x)+14*x-10) ogf] A199313 7.32135 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=10,a(1)=46} ogf] A199314 14.2875 [-(4*x-3)/(5*x-1)/(x-1) ogf] A199314 15.7643 [-2*(7-15*x+10*x^2)/(x-1)/(4*x-3)/(5*x-1) lgdogf] A199314 7.06524 [-(27*f(x)+17)*(5*f(x)*x^2-6*f(x)*x+f(x)+4*x-3) ogf] A199314 7.74622 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=3,a(1)=14} ogf] A199315 14.6996 [-2*(4*x-3)/(5*x-1)/(x-1) ogf] A199315 16.2280 [-2*(7-15*x+10*x^2)/(x-1)/(4*x-3)/(5*x-1) lgdogf] A199315 7.26904 [-(27*f(x)+34)*(5*f(x)*x^2-6*f(x)*x+f(x)+8*x-6) ogf] A199315 7.96967 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=6,a(1)=28} ogf] A199316 13.2145 [-4*(4*x-3)/(5*x-1)/(x-1) ogf] A199316 15.2226 [-2*(7-15*x+10*x^2)/(x-1)/(4*x-3)/(5*x-1) lgdogf] A199316 6.27356 [-(11343*f(x)+17548)*(5*f(x)*x^2-6*f(x)*x+f(x)+16*x-12) ogf] A199316 7.39383 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=12,a(1)=56} ogf] A199317 15.2491 [-(8*x-3)/(6*x-1)/(x-1) ogf] A199317 17.2781 [-(13-36*x+48*x^2)/(x-1)/(6*x-1)/(8*x-3) lgdogf] A199317 7.62457 [-(55*f(x)+4)*(6*f(x)*x^2-7*f(x)*x+f(x)+8*x-3) ogf] A199317 8.26760 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=3,a(1)=13} ogf] A199318 14.1401 [-(9*x-4)/(6*x-1)/(x-1) ogf] A199318 16.0032 [-(19-48*x+54*x^2)/(x-1)/(6*x-1)/(9*x-4) lgdogf] A199318 6.99236 [-(85*f(x)+21)*(6*f(x)*x^2-7*f(x)*x+f(x)+9*x-4) ogf] A199318 7.66633 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=4,a(1)=19} ogf] A199319 13.9651 [-5*(2*x-1)/(6*x-1)/(x-1) ogf] A199319 16.5846 [-(5-12*x+12*x^2)/(x-1)/(6*x-1)/(2*x-1) lgdogf] A199319 6.83398 [-(691*f(x)-330)*(6*f(x)*x^2-7*f(x)*x+f(x)+10*x-5) ogf] A199319 7.73969 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=5,a(1)=25} ogf] A199320 14.0975 [-(11*x-6)/(6*x-1)/(x-1) ogf] A199320 15.9076 [-(31-72*x+66*x^2)/(x-1)/(6*x-1)/(11*x-6) lgdogf] A199320 6.97294 [-(145*f(x)+91)*(6*f(x)*x^2-7*f(x)*x+f(x)+11*x-6) ogf] A199320 7.81305 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=6,a(1)=31} ogf] A199321 14.2298 [-(13*x-8)/(6*x-1)/(x-1) ogf] A199321 16.0598 [-(43-96*x+78*x^2)/(x-1)/(6*x-1)/(13*x-8) lgdogf] A199321 6.96354 [-(205*f(x)+209)*(6*f(x)*x^2-7*f(x)*x+f(x)+13*x-8) ogf] A199321 7.88641 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=8,a(1)=43} ogf] A199336 11.0428 [-(3+10*x+21*x^2-x^4+6*x^5+x^6-4*x^3)/(x-1)/(x^2+4*x+1)/(x^4-8*x^2+1) lgdogf] A199336 11.7596 [-(x-1)*(x^2+4*x+1)/(x^4-8*x^2+1) ogf] A199336 7.42113 [(98*f(x)-43)*(f(x)*x^4-8*f(x)*x^2+x^3+3*x^2+f(x)-3*x-1) ogf] A199338 11.3892 [(x+1)*(x^2+10*x+1)/(x^4-8*x^2+1) ogf] A199338 6.75287 [-(4410*f(x)+2663)*(f(x)*x^4-8*f(x)*x^2-x^3-11*x^2+f(x)-11*x-1) ogf] A199338 9.99660 [-(-11-38*x-91*x^2+41*x^4+22*x^5+x^6+4*x^3)/(x+1)/(x^2+10*x+1)/(x^4-8*x^2+1) lgdogf] A199344 6.35593 [-(9*x^10-10*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A199394 4.15409 [{(10*n^2+61*n+93)*a(n+1)+(-24*n^2-180*n-534)*a(n+2)+(14*n^2+103*n+183)*a(n+3),a(0)=11,a(1)=90,a(2)=357} ogf] A199394 8.81590 [-(x^3+17*x^2+35*x+11)/(x-1)^5 ogf] A199398 13.2994 [-2*(1+7*x-x^2+3*x^4+13*x^5-3*x^6+11*x^3+x^7)/(x-1)/(x+1)/(x^2+1)/(x^4-2*x^3+6*x^2+2*x+1) lgdogf] A199398 13.3805 [(x^4-2*x^3+6*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A199402 11.6523 [3*(2*x^3-x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A199402 8.01445 [-2*x*(-3-3*x+4*x^3+13*x^4-x^5+12*x^7-2*x^2-8*x^6)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+1)/(2*x^3-x^2+1) lgdogf] A199403 10.1772 [-2*x*(-3+3*x+8*x^3-11*x^4+9*x^5-2*x^2)/(x-1)/(2*x-1)/(x+1)/(x^2+1)/(3*x^2-2*x+1) lgdogf] A199403 13.5220 [(3*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A199404 11.1359 [-(x-1)*(x^2+5*x+1)/(x^2+3*x-1)/(x^2-3*x-1) ogf] A199404 6.80529 [(6480*f(x)-2809)*(f(x)*x^4-11*f(x)*x^2+x^3+4*x^2+f(x)-4*x-1) ogf] A199404 9.25370 [-(4+14*x+41*x^2-x^4+8*x^5+x^6-4*x^3)/(x-1)/(x^2+5*x+1)/(x^2+3*x-1)/(x^2-3*x-1) lgdogf] A199405 10.7326 [(x+1)*(x^2+13*x+1)/(x^2+3*x-1)/(x^2-3*x-1) ogf] A199405 6.51619 [(84240*f(x)+54403)*(f(x)*x^4-11*f(x)*x^2-x^3-14*x^2+f(x)-14*x-1) ogf] A199405 8.33467 [-(-14-50*x-157*x^2+53*x^4+28*x^5+x^6+4*x^3)/(x+1)/(x^2+13*x+1)/(x^2+3*x-1)/(x^2-3*x-1) lgdogf] A199411 14.3622 [-(14*x-9)/(6*x-1)/(x-1) ogf] A199411 15.8167 [-(49-108*x+84*x^2)/(x-1)/(6*x-1)/(14*x-9) lgdogf] A199411 7.02831 [-(235*f(x)+286)*(6*f(x)*x^2-7*f(x)*x+f(x)+14*x-9) ogf] A199411 7.95977 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=9,a(1)=49} ogf] A199412 15.2491 [-(3*x-2)/(6*x-1)/(x-1) ogf] A199412 17.2781 [-(11-24*x+18*x^2)/(x-1)/(6*x-1)/(3*x-2) lgdogf] A199412 7.54078 [-(53*f(x)+15)*(6*f(x)*x^2-7*f(x)*x+f(x)+3*x-2) ogf] A199412 8.26760 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=2,a(1)=11} ogf] A199413 14.1214 [-5*(3*x-2)/(6*x-1)/(x-1) ogf] A199413 16.7058 [-(11-24*x+18*x^2)/(x-1)/(6*x-1)/(3*x-2) lgdogf] A199413 7.13662 [-(53*f(x)+75)*(6*f(x)*x^2-7*f(x)*x+f(x)+15*x-10) ogf] A199413 7.90125 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=10,a(1)=55} ogf] A199414 14.2509 [-(16*x-11)/(6*x-1)/(x-1) ogf] A199414 15.6575 [-(61-132*x+96*x^2)/(16*x-11)/(x-1)/(6*x-1) lgdogf] A199414 7.05047 [-(295*f(x)+476)*(6*f(x)*x^2-7*f(x)*x+f(x)+16*x-11) ogf] A199414 7.97374 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=11,a(1)=61} ogf] A199415 14.2509 [-(17*x-12)/(6*x-1)/(x-1) ogf] A199415 15.2934 [-(67-144*x+102*x^2)/(x-1)/(6*x-1)/(17*x-12) lgdogf] A199415 7.05047 [-(325*f(x)+589)*(6*f(x)*x^2-7*f(x)*x+f(x)+17*x-12) ogf] A199415 7.97374 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=12,a(1)=67} ogf] A199416 13.2478 [-3*(3*x-1)/(7*x-1)/(x-1) ogf] A199416 15.3728 [-(5-14*x+21*x^2)/(x-1)/(3*x-1)/(7*x-1) lgdogf] A199416 6.41022 [-(914*f(x)-867)*(7*f(x)*x^2-8*f(x)*x+f(x)+9*x-3) ogf] A199416 7.18253 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=3,a(1)=15} ogf] A199417 13.1812 [-(5*x-2)/(7*x-1)/(x-1) ogf] A199417 14.9018 [-(11-28*x+35*x^2)/(x-1)/(5*x-2)/(7*x-1) lgdogf] A199417 6.59061 [-(60*f(x)+1)*(7*f(x)*x^2-8*f(x)*x+f(x)+5*x-2) ogf] A199417 7.14645 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=2,a(1)=11} ogf] A199418 13.2203 [-2*(5*x-2)/(7*x-1)/(x-1) ogf] A199418 15.2859 [-(11-28*x+35*x^2)/(x-1)/(5*x-2)/(7*x-1) lgdogf] A199418 6.68279 [-(30*f(x)+1)*(7*f(x)*x^2-8*f(x)*x+f(x)+10*x-4) ogf] A199418 7.32690 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=4,a(1)=22} ogf] A199419 13.3505 [-(11*x-5)/(7*x-1)/(x-1) ogf] A199419 15.0535 [-(29-70*x+77*x^2)/(11*x-5)/(x-1)/(7*x-1) lgdogf] A199419 6.6035 [-(162*f(x)+31)*(7*f(x)*x^2-8*f(x)*x+f(x)+11*x-5) ogf] A199419 7.39910 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=5,a(1)=29} ogf] A199420 13.1812 [-2*(2*x-1)/(7*x-1)/(x-1) ogf] A199420 15.2940 [-2*(3-7*x+7*x^2)/(x-1)/(2*x-1)/(7*x-1) lgdogf] A199420 6.31016 [-(1429*f(x)-266)*(7*f(x)*x^2-8*f(x)*x+f(x)+4*x-2) ogf] A199420 7.14645 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=2,a(1)=12} ogf] A199421 13.4475 [-3*(2*x-1)/(7*x-1)/(x-1) ogf] A199421 15.6093 [-2*(3-7*x+7*x^2)/(x-1)/(2*x-1)/(7*x-1) lgdogf] A199421 6.43764 [-(1429*f(x)-399)*(7*f(x)*x^2-8*f(x)*x+f(x)+6*x-3) ogf] A199421 7.29081 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=3,a(1)=18} ogf] A199422 13.4808 [-6*(2*x-1)/(7*x-1)/(x-1) ogf] A199422 16.0035 [-2*(3-7*x+7*x^2)/(x-1)/(2*x-1)/(7*x-1) lgdogf] A199422 6.52754 [-(1429*f(x)-798)*(7*f(x)*x^2-8*f(x)*x+f(x)+12*x-6) ogf] A199422 7.47128 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=6,a(1)=36} ogf] A199475 16.6254 [1/2/(x+1)*(1+x^2+(1-2*x^2+x^4-4*x)^(1/2))*x revogf] A199475 9.4472 [-f(x)^3*x^2+f(x)^3*x+f(x)*x-f(x)+1 ogf] A199483 13.6110 [-(13*x-7)/(7*x-1)/(x-1) ogf] A199483 15.3531 [-(43-98*x+91*x^2)/(x-1)/(7*x-1)/(13*x-7) lgdogf] A199483 6.66072 [-(246*f(x)+127)*(7*f(x)*x^2-8*f(x)*x+f(x)+13*x-7) ogf] A199483 7.54347 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=7,a(1)=43} ogf] A199484 13.4475 [-(5*x-3)/(7*x-1)/(x-1) ogf] A199484 15.2091 [-(19-42*x+35*x^2)/(x-1)/(5*x-3)/(7*x-1) lgdogf] A199484 6.57759 [-(110*f(x)+31)*(7*f(x)*x^2-8*f(x)*x+f(x)+5*x-3) ogf] A199484 7.29081 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=3,a(1)=19} ogf] A199485 13.7413 [-3*(5*x-3)/(7*x-1)/(x-1) ogf] A199485 15.9004 [-(19-42*x+35*x^2)/(x-1)/(5*x-3)/(7*x-1) lgdogf] A199485 6.79677 [-(110*f(x)+93)*(7*f(x)*x^2-8*f(x)*x+f(x)+15*x-9) ogf] A199485 7.61565 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=9,a(1)=57} ogf] A199486 13.7804 [-(8*x-5)/(7*x-1)/(x-1) ogf] A199486 14.8325 [-2*(16-35*x+28*x^2)/(8*x-5)/(x-1)/(7*x-1) lgdogf] A199486 6.81447 [-(93*f(x)+47)*(7*f(x)*x^2-8*f(x)*x+f(x)+8*x-5) ogf] A199486 7.47128 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=5,a(1)=32} ogf] A199487 13.6401 [-2*(8*x-5)/(7*x-1)/(x-1) ogf] A199487 15.3440 [-2*(16-35*x+28*x^2)/(8*x-5)/(x-1)/(7*x-1) lgdogf] A199487 6.89341 [-(93*f(x)+94)*(7*f(x)*x^2-8*f(x)*x+f(x)+16*x-10) ogf] A199487 7.63198 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=10,a(1)=64} ogf] A199488 13.6401 [-(17*x-11)/(7*x-1)/(x-1) ogf] A199488 14.6303 [-(71-154*x+119*x^2)/(17*x-11)/(x-1)/(7*x-1) lgdogf] A199488 6.74828 [-(414*f(x)+487)*(7*f(x)*x^2-8*f(x)*x+f(x)+17*x-11) ogf] A199488 7.63198 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=11,a(1)=71} ogf] A199489 13.2478 [-(3*x-2)/(7*x-1)/(x-1) ogf] A199489 14.9787 [-(13-28*x+21*x^2)/(x-1)/(7*x-1)/(3*x-2) lgdogf] A199489 6.55111 [-(76*f(x)+17)*(7*f(x)*x^2-8*f(x)*x+f(x)+3*x-2) ogf] A199489 7.18253 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=2,a(1)=13} ogf] A199490 13.6472 [-2*(3*x-2)/(7*x-1)/(x-1) ogf] A199490 15.4395 [-(13-28*x+21*x^2)/(x-1)/(7*x-1)/(3*x-2) lgdogf] A199490 6.74863 [-(38*f(x)+17)*(7*f(x)*x^2-8*f(x)*x+f(x)+6*x-4) ogf] A199490 7.39910 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=4,a(1)=26} ogf] A199491 13.8469 [-3*(3*x-2)/(7*x-1)/(x-1) ogf] A199491 15.6700 [-(13-28*x+21*x^2)/(x-1)/(7*x-1)/(3*x-2) lgdogf] A199491 6.84739 [-(76*f(x)+51)*(7*f(x)*x^2-8*f(x)*x+f(x)+9*x-6) ogf] A199491 7.50737 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=6,a(1)=39} ogf] A199492 12.2789 [-6*(3*x-2)/(7*x-1)/(x-1) ogf] A199492 14.4957 [-(13-28*x+21*x^2)/(x-1)/(7*x-1)/(3*x-2) lgdogf] A199492 6.20548 [-(38*f(x)+51)*(7*f(x)*x^2-8*f(x)*x+f(x)+18*x-12) ogf] A199492 6.87036 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=12,a(1)=78} ogf] A199493 12.2898 [-(10*x-3)/(8*x-1)/(x-1) ogf] A199493 13.8389 [-(17-48*x+80*x^2)/(x-1)/(8*x-1)/(10*x-3) lgdogf] A199493 6.07884 [-(105*f(x)-26)*(8*f(x)*x^2-9*f(x)*x+f(x)+10*x-3) ogf] A199493 6.81123 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=3,a(1)=17} ogf] A199494 12.4819 [-(11*x-4)/(8*x-1)/(x-1) ogf] A199494 14.0597 [-(25-64*x+88*x^2)/(x-1)/(8*x-1)/(11*x-4) lgdogf] A199494 6.17382 [-(161*f(x)-19)*(8*f(x)*x^2-9*f(x)*x+f(x)+11*x-4) ogf] A199494 6.91766 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=4,a(1)=25} ogf] A199531 10.6496 [-4*(x^2-6*x-3)/(x-1)^4 ogf] A199531 23.1809 [-2*(x+1)*(x-9)/(x-1)/(x^2-6*x-3) lgdogf] A199531 3.70649 [{(-3*n-12)*a(n+4)+(9-3*n)*a(n+3)+(30+7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=12,a(1)=72,a(2)=212,a(3)=464} ogf] A199531 5.51914 [(673*f(x)+18713)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-24*x-12) ogf] A199532 13.6715 [-(x+4)*(6*x^2-81*x-40)/(x-1)/(3*x^3-22*x^2-80*x-16) lgdogf] A199532 7.81155 [2*(3*x^3-22*x^2-80*x-16)/(x-1)^5 ogf] A199533 6.19332 [-2*(x^4-21*x^3-529*x^2-467*x-40)/(x-1)^6 ogf] A199533 9.36704 [-(-707-3393*x-2179*x^2+2*x^4-59*x^3)/(x-1)/(x^4-21*x^3-529*x^2-467*x-40) lgdogf] A199534 4.95077 [-2*(4*x^5+4*x^4+2653*x^3+6540*x^2+2473*x+100)/(x-1)^7 ogf] A199548 14.1824 [1/2/(2*x+1)*(1+x^2+((x+1)*(x^3-x^2-5*x+1))^(1/2))*x revogf] A199548 9.55413 [-f(x)^3*x^2+f(x)^3*x+2*f(x)*x-f(x)+1 ogf] A199552 12.6739 [-(12*x-5)/(8*x-1)/(x-1) ogf] A199552 14.2805 [-(33-80*x+96*x^2)/(12*x-5)/(x-1)/(8*x-1) lgdogf] A199552 6.33694 [-(217*f(x)+4)*(8*f(x)*x^2-9*f(x)*x+f(x)+12*x-5) ogf] A199552 7.02408 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=5,a(1)=33} ogf] A199553 12.8019 [-(13*x-6)/(8*x-1)/(x-1) ogf] A199553 14.0759 [-(41-96*x+104*x^2)/(x-1)/(13*x-6)/(8*x-1) lgdogf] A199553 6.33213 [-(273*f(x)+43)*(8*f(x)*x^2-9*f(x)*x+f(x)+13*x-6) ogf] A199553 7.09504 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=6,a(1)=41} ogf] A199554 12.9299 [-7*(2*x-1)/(8*x-1)/(x-1) ogf] A199554 15.3421 [-(7-16*x+16*x^2)/(x-1)/(8*x-1)/(2*x-1) lgdogf] A199554 6.19559 [-(2633*f(x)-1624)*(8*f(x)*x^2-9*f(x)*x+f(x)+14*x-7) ogf] A199554 7.16599 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=7,a(1)=49} ogf] A199555 12.9299 [-(15*x-8)/(8*x-1)/(x-1) ogf] A199555 13.8809 [-(57-128*x+120*x^2)/(x-1)/(15*x-8)/(8*x-1) lgdogf] A199555 6.32741 [-(385*f(x)+169)*(8*f(x)*x^2-9*f(x)*x+f(x)+15*x-8) ogf] A199555 7.16599 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=8,a(1)=57} ogf] A199556 12.7801 [-(17*x-10)/(8*x-1)/(x-1) ogf] A199556 13.6951 [-(73-160*x+136*x^2)/(17*x-10)/(x-1)/(8*x-1) lgdogf] A199556 6.3228 [-(497*f(x)+359)*(8*f(x)*x^2-9*f(x)*x+f(x)+17*x-10) ogf] A199556 7.15079 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=10,a(1)=73} ogf] A199557 12.8428 [-(18*x-11)/(8*x-1)/(x-1) ogf] A199557 13.7635 [-(81-176*x+144*x^2)/(18*x-11)/(x-1)/(8*x-1) lgdogf] A199557 6.35379 [-(553*f(x)+478)*(8*f(x)*x^2-9*f(x)*x+f(x)+18*x-11) ogf] A199557 7.18583 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=11,a(1)=81} ogf] A199558 12.8428 [-(19*x-12)/(8*x-1)/(x-1) ogf] A199558 13.7635 [-(89-192*x+152*x^2)/(x-1)/(8*x-1)/(19*x-12) lgdogf] A199558 6.35379 [-(609*f(x)+613)*(8*f(x)*x^2-9*f(x)*x+f(x)+19*x-12) ogf] A199558 7.18583 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=12,a(1)=89} ogf] A199559 12.5295 [-(11*x-3)/(9*x-1)/(x-1) ogf] A199559 14.4278 [-(19-54*x+99*x^2)/(x-1)/(11*x-3)/(9*x-1) lgdogf] A199559 6.26476 [-(136*f(x)-47)*(9*f(x)*x^2-10*f(x)*x+f(x)+11*x-3) ogf] A199559 7.01057 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=3,a(1)=19} ogf] A199560 12.6099 [-2*(3*x-1)/(9*x-1)/(x-1) ogf] A199560 14.9547 [-(7-18*x+27*x^2)/(x-1)/(3*x-1)/(9*x-1) lgdogf] A199560 6.37423 [-(26*f(x)-3)*(9*f(x)*x^2-10*f(x)*x+f(x)+6*x-2) ogf] A199560 6.90542 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=2,a(1)=14} ogf] A199561 12.7801 [-4*(3*x-1)/(9*x-1)/(x-1) ogf] A199561 15.4971 [-(7-18*x+27*x^2)/(x-1)/(3*x-1)/(9*x-1) lgdogf] A199561 6.52897 [-(13*f(x)-3)*(9*f(x)*x^2-10*f(x)*x+f(x)+12*x-4) ogf] A199561 7.15079 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=4,a(1)=28} ogf] A199562 12.9681 [-(13*x-5)/(9*x-1)/(x-1) ogf] A199562 14.5786 [-(37-90*x+117*x^2)/(13*x-5)/(x-1)/(9*x-1) lgdogf] A199562 6.48403 [-(280*f(x)-31)*(9*f(x)*x^2-10*f(x)*x+f(x)+13*x-5) ogf] A199562 7.25594 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=5,a(1)=37} ogf] A199563 13.0934 [-2*(7*x-3)/(9*x-1)/(x-1) ogf] A199563 15.4772 [-(23-54*x+63*x^2)/(x-1)/(7*x-3)/(9*x-1) lgdogf] A199563 6.689 [-(88*f(x)+1)*(9*f(x)*x^2-10*f(x)*x+f(x)+14*x-6) ogf] A199563 7.32605 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=6,a(1)=46} ogf] A199564 13.2187 [-(15*x-7)/(9*x-1)/(x-1) ogf] A199564 14.5119 [-(55-126*x+135*x^2)/(x-1)/(9*x-1)/(15*x-7) lgdogf] A199564 6.60933 [-(424*f(x)+57)*(9*f(x)*x^2-10*f(x)*x+f(x)+15*x-7) ogf] A199564 7.39615 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=7,a(1)=55} ogf] A199565 12.7379 [-2*(2*x-1)/(9*x-1)/(x-1) ogf] A199565 15.1096 [-2*(4-9*x+9*x^2)/(x-1)/(2*x-1)/(9*x-1) lgdogf] A199565 6.16782 [-(4465*f(x)-738)*(9*f(x)*x^2-10*f(x)*x+f(x)+4*x-2) ogf] A199565 6.97552 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=2,a(1)=16} ogf] A199566 13.1220 [-4*(2*x-1)/(9*x-1)/(x-1) ogf] A199566 15.5745 [-2*(4-9*x+9*x^2)/(x-1)/(2*x-1)/(9*x-1) lgdogf] A199566 6.2876 [-(4465*f(x)-1476)*(9*f(x)*x^2-10*f(x)*x+f(x)+8*x-4) ogf] A199566 7.18583 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=4,a(1)=32} ogf] A199567 13.2813 [-8*(2*x-1)/(9*x-1)/(x-1) ogf] A199567 16.1169 [-2*(4-9*x+9*x^2)/(x-1)/(2*x-1)/(9*x-1) lgdogf] A199567 6.43527 [-(4465*f(x)-2952)*(9*f(x)*x^2-10*f(x)*x+f(x)+16*x-8) ogf] A199567 7.43120 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=8,a(1)=64} ogf] A199572 15.2054 [-4*f(x)*x^2+f(x)-1 ogf] A199572 24.9368 [-1/(2*x-1)/(2*x+1) ogf] A199572 34.1221 [-8*x/(2*x-1)/(2*x+1) lgdogf] A199572 9.89557 [{a(n+2)-4*a(n),a(0)=1,a(1)=0} ogf] A199573 12.1959 [-4*f(x)*x^2+2*x^2+f(x)-1 ogf] A199573 13.2800 [(2*x^2-1)/(2*x-1)/(2*x+1) ogf] A199573 22.6421 [4*x/(2*x-1)/(2*x+1)/(2*x^2-1) lgdogf] A199573 7.19999 [{a(n+3)-4*a(n+1),a(0)=1,a(1)=0,a(2)=2} ogf] A199578 4.37382 [{(-n^2-6*n-9)*a(n+1)+(-2*n-6)*a(n+2)-a(n+3),a(0)=1,a(1)=-2,a(2)=4} ogf] A199579 3.78002 [-(4*f(x)+1)*(24*f(x)*x^4-96*f(x)*x^3+72*f(x)*x^2+24*x^3-16*f(x)*x-36*x^2+f(x)+12*x-1) ogf] A199579 6.66005 [-(24*x^3-36*x^2+12*x-1)/(24*x^4-96*x^3+72*x^2-16*x+1) ogf] A199594 11.2818 [x^3*(x+2)/(x^5-x^3-x^2-x+1) ogf] A199594 13.3587 [-(-3-4*x-7*x^2+10*x^4+4*x^5-2*x^3)/(x+2)/(x^5-x^3-x^2-x+1) lgdogf] A199594 5.98803 [(7*f(x)+16)*(f(x)*x^5-f(x)*x^3-x^4-f(x)*x^2-2*x^3-f(x)*x+f(x)) ogf] A199626 12.1314 [-(6+16*x+15*x^2+32*x^4+16*x^5+3*x^6+32*x^3)/(x-1)/(x+2)/(x+1)/(x^2+1)/(x^2+2*x+2) lgdogf] A199626 9.78388 [-x*(x+2)*(x^2+2*x+2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A199627 7.55554 [(x^7-2*x^6+3*x^5-x^4-x^3+2*x^2-2*x+1)*(x+1)^2/(x-1)^2/(x^2+1) ogf] A199628 4.82609 [(x^9+3*x^6+3*x^3-x^2+1)*(x^9+3*x^6+3*x^3+x^2+1)*(x+1)^2/(x-1)^2/(x^2+1) ogf] A199634 3.75601 [-(5296939999*f(x)-17279568784312233)*(-6*x^5-8*x^4-13*x^3-74*x^2+f(x)-534*x-3265920) ogf] A199638 7.45482 [(12*x^7-4*x^6+x^5+x^4+x^3+x^2+3*x+5)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A199641 6.59423 [(4*x^6+4*x^5-7*x^4-8*x^3-3*x^2+1)/(8*x^5-8*x^3-7*x^2-3*x+1) ogf] A199649 6.86118 [(4*x^5+5*x^4-3*x^3-7*x^2-2*x+2)/(8*x^4+2*x^3-4*x^2-8*x+1) ogf] A199659 16.8781 [-(-3*x-3)/(x^3-1) ogf_with_Euler_transform] A199670 16.0830 [-2/3*exp(-x)+2/3*exp(1/2*x)*cos(1/2*3^(1/2)*x) revegf] A199677 13.2813 [-(17*x-9)/(9*x-1)/(x-1) ogf] A199677 14.5820 [-(73-162*x+153*x^2)/(x-1)/(17*x-9)/(9*x-1) lgdogf] A199677 6.57075 [-(568*f(x)+217)*(9*f(x)*x^2-10*f(x)*x+f(x)+17*x-9) ogf] A199677 7.43120 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=9,a(1)=73} ogf] A199678 13.0660 [-(19*x-11)/(9*x-1)/(x-1) ogf] A199678 14.3113 [-(91-198*x+171*x^2)/(19*x-11)/(x-1)/(9*x-1) lgdogf] A199678 6.53297 [-(712*f(x)+449)*(9*f(x)*x^2-10*f(x)*x+f(x)+19*x-11) ogf] A199678 7.37842 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=11,a(1)=91} ogf] A199679 12.9939 [-(5*x-3)/(9*x-1)/(x-1) ogf] A199679 15.0242 [-(25-54*x+45*x^2)/(x-1)/(9*x-1)/(5*x-3) lgdogf] A199679 6.42711 [-(196*f(x)+37)*(9*f(x)*x^2-10*f(x)*x+f(x)+5*x-3) ogf] A199679 7.11573 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=3,a(1)=25} ogf] A199680 13.1560 [-2*(5*x-3)/(9*x-1)/(x-1) ogf] A199680 15.5527 [-(25-54*x+45*x^2)/(x-1)/(9*x-1)/(5*x-3) lgdogf] A199680 6.64873 [-(98*f(x)+37)*(9*f(x)*x^2-10*f(x)*x+f(x)+10*x-6) ogf] A199680 7.36110 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=6,a(1)=50} ogf] A199681 11.6819 [-4*(5*x-3)/(9*x-1)/(x-1) ogf] A199681 14.0813 [-(25-54*x+45*x^2)/(x-1)/(9*x-1)/(5*x-3) lgdogf] A199681 5.96524 [-(49*f(x)+37)*(9*f(x)*x^2-10*f(x)*x+f(x)+20*x-12) ogf] A199681 6.52014 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=12,a(1)=100} ogf] A199682 13.0046 [-3*(4*x-1)/(10*x-1)/(x-1) ogf] A199682 15.7037 [-(7-20*x+40*x^2)/(x-1)/(4*x-1)/(10*x-1) lgdogf] A199682 6.71205 [-(19*f(x)-8)*(10*f(x)*x^2-11*f(x)*x+f(x)+12*x-3) ogf] A199682 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=3,a(1)=21} ogf] A199683 13.0046 [-(13*x-4)/(10*x-1)/(x-1) ogf] A199683 14.5820 [-(31-80*x+130*x^2)/(x-1)/(13*x-4)/(10*x-1) lgdogf] A199683 6.57075 [-(261*f(x)-83)*(10*f(x)*x^2-11*f(x)*x+f(x)+13*x-4) ogf] A199683 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=4,a(1)=31} ogf] A199684 13.0046 [-(14*x-5)/(10*x-1)/(x-1) ogf] A199684 14.2429 [-(41-100*x+140*x^2)/(x-1)/(14*x-5)/(10*x-1) lgdogf] A199684 6.57075 [-(351*f(x)-74)*(10*f(x)*x^2-11*f(x)*x+f(x)+14*x-5) ogf] A199684 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=5,a(1)=41} ogf] A199685 13.0046 [-3*(5*x-2)/(10*x-1)/(x-1) ogf] A199685 15.3111 [-(17-40*x+50*x^2)/(x-1)/(5*x-2)/(10*x-1) lgdogf] A199685 6.71205 [-(49*f(x)-5)*(10*f(x)*x^2-11*f(x)*x+f(x)+15*x-6) ogf] A199685 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=6,a(1)=51} ogf] A199686 13.0046 [-(16*x-7)/(10*x-1)/(x-1) ogf] A199686 14.2429 [-(61-140*x+160*x^2)/(x-1)/(16*x-7)/(10*x-1) lgdogf] A199686 6.64065 [-(531*f(x)+4)*(10*f(x)*x^2-11*f(x)*x+f(x)+16*x-7) ogf] A199686 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=7,a(1)=61} ogf] A199687 13.0046 [-(17*x-8)/(10*x-1)/(x-1) ogf] A199687 14.2429 [-(71-160*x+170*x^2)/(x-1)/(17*x-8)/(10*x-1) lgdogf] A199687 6.57075 [-(621*f(x)+73)*(10*f(x)*x^2-11*f(x)*x+f(x)+17*x-8) ogf] A199687 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=8,a(1)=71} ogf] A199688 13.2813 [-3*(2*x-1)/(10*x-1)/(x-1) ogf] A199688 15.7037 [-(9-20*x+20*x^2)/(x-1)/(2*x-1)/(10*x-1) lgdogf] A199688 6.43527 [-(7111*f(x)-1650)*(10*f(x)*x^2-11*f(x)*x+f(x)+6*x-3) ogf] A199688 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=3,a(1)=27} ogf] A199689 13.0046 [-9*(2*x-1)/(10*x-1)/(x-1) ogf] A199689 15.7037 [-(9-20*x+20*x^2)/(x-1)/(2*x-1)/(10*x-1) lgdogf] A199689 6.3696 [-(7111*f(x)-4950)*(10*f(x)*x^2-11*f(x)*x+f(x)+18*x-9) ogf] A199689 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=9,a(1)=81} ogf] A199690 13.2813 [-(7*x-4)/(10*x-1)/(x-1) ogf] A199690 15.3111 [-(37-80*x+70*x^2)/(x-1)/(7*x-4)/(10*x-1) lgdogf] A199690 6.64065 [-(327*f(x)+61)*(10*f(x)*x^2-11*f(x)*x+f(x)+7*x-4) ogf] A199690 7.34378 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=4,a(1)=37} ogf] A199691 12.3873 [-3*(7*x-4)/(10*x-1)/(x-1) ogf] A199691 14.8854 [-(37-80*x+70*x^2)/(x-1)/(7*x-4)/(10*x-1) lgdogf] A199691 6.32269 [-(109*f(x)+61)*(10*f(x)*x^2-11*f(x)*x+f(x)+21*x-12) ogf] A199691 6.97676 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=12,a(1)=111} ogf] A199705 13.5071 [-2*(2*x^2+x+3)/(x+1)/(x-1)^3 ogf] A199705 17.9674 [-(7+18*x+7*x^2+4*x^3)/(x-1)/(x+1)/(2*x^2+x+3) lgdogf] A199705 6.75354 [(131004*f(x)-1262779)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+4*x^2-f(x)+2*x+6) ogf] A199706 7.20150 [4*(2*x^4+4*x^3+9*x^2+7*x+2)/(x^2+x+1)/(x-1)^4 ogf] A199706 8.54211 [-(13+45*x+72*x^2+54*x^4+18*x^5+4*x^6+82*x^3)/(x-1)/(x^2+x+1)/(2*x^4+4*x^3+9*x^2+7*x+2) lgdogf] A199707 4.34299 [-2*(8*x^9+47*x^8+222*x^7+426*x^6+618*x^5+618*x^4+482*x^3+246*x^2+86*x+7)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A199710 10.4844 [(13*x^3-14*x^2+x+1)/(169*x^4-28*x^2+1) ogf] A199710 6.27268 [-(13554*f(x)+7813)*(169*f(x)*x^4-28*f(x)*x^2-13*x^3+14*x^2+f(x)-x-1) ogf] A199710 8.01143 [-(-1-28*x-67*x^2+871*x^4-4732*x^5+2197*x^6+676*x^3)/(13*x^3-14*x^2+x+1)/(169*x^4-28*x^2+1) lgdogf] A199744 19.4050 [1/(x^4+2*x^3+2*x^2+x+1) ogf] A199744 21.7318 [-(2*x+1)*(2*x^2+2*x+1)/(2*x^2+1+x+x^4+2*x^3) lgdogf] A199744 7.46346 [(f(x)-2)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+f(x)*x+f(x)-1) ogf] A199750 13.1273 [-(13*x-3)/(11*x-1)/(x-1) ogf] A199750 14.7222 [-(23-66*x+143*x^2)/(x-1)/(13*x-3)/(11*x-1) lgdogf] A199750 6.56365 [-(210*f(x)-101)*(11*f(x)*x^2-12*f(x)*x+f(x)+13*x-3) ogf] A199750 7.41306 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=3,a(1)=23} ogf] A199751 13.2813 [-(7*x-2)/(11*x-1)/(x-1) ogf] A199751 15.3111 [-(17-44*x+77*x^2)/(x-1)/(7*x-2)/(11*x-1) lgdogf] A199751 6.64065 [-(160*f(x)-31)*(11*f(x)*x^2-12*f(x)*x+f(x)+7*x-2) ogf] A199751 7.34378 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=2,a(1)=17} ogf] A199752 11.8626 [-2*(7*x-2)/(11*x-1)/(x-1) ogf] A199752 13.9460 [-(17-44*x+77*x^2)/(x-1)/(7*x-2)/(11*x-1) lgdogf] A199752 6.05748 [-(80*f(x)-31)*(11*f(x)*x^2-12*f(x)*x+f(x)+14*x-4) ogf] A199752 6.69886 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=4,a(1)=34} ogf] A199753 12.0432 [-5*(3*x-1)/(11*x-1)/(x-1) ogf] A199753 14.5260 [-(9-22*x+33*x^2)/(x-1)/(3*x-1)/(11*x-1) lgdogf] A199753 6.14973 [-(86*f(x)-25)*(11*f(x)*x^2-12*f(x)*x+f(x)+15*x-5) ogf] A199753 6.80087 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=5,a(1)=45} ogf] A199754 11.9920 [-(8*x-3)/(11*x-1)/(x-1) ogf] A199754 13.1443 [-2*(14-33*x+44*x^2)/(x-1)/(8*x-3)/(11*x-1) lgdogf] A199754 5.99598 [-(135*f(x)-13)*(11*f(x)*x^2-12*f(x)*x+f(x)+8*x-3) ogf] A199754 6.63085 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=3,a(1)=28} ogf] A199755 12.1636 [-2*(8*x-3)/(11*x-1)/(x-1) ogf] A199755 13.6260 [-2*(14-33*x+44*x^2)/(x-1)/(8*x-3)/(11*x-1) lgdogf] A199755 6.14584 [-(135*f(x)-26)*(11*f(x)*x^2-12*f(x)*x+f(x)+16*x-6) ogf] A199755 6.86888 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=6,a(1)=56} ogf] A199756 12.2841 [-(17*x-7)/(11*x-1)/(x-1) ogf] A199756 13.4436 [-(67-154*x+187*x^2)/(x-1)/(11*x-1)/(17*x-7) lgdogf] A199756 6.20669 [-(650*f(x)-61)*(11*f(x)*x^2-12*f(x)*x+f(x)+17*x-7) ogf] A199756 6.93688 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=7,a(1)=67} ogf] A199757 12.1764 [-(9*x-4)/(11*x-1)/(x-1) ogf] A199757 14.0183 [-(39-88*x+99*x^2)/(x-1)/(9*x-4)/(11*x-1) lgdogf] A199757 6.15369 [-(380*f(x)+1)*(11*f(x)*x^2-12*f(x)*x+f(x)+9*x-4) ogf] A199757 6.73286 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=4,a(1)=39} ogf] A199758 12.4045 [-2*(9*x-4)/(11*x-1)/(x-1) ogf] A199758 14.5964 [-(39-88*x+99*x^2)/(x-1)/(9*x-4)/(11*x-1) lgdogf] A199758 6.33422 [-(190*f(x)+1)*(11*f(x)*x^2-12*f(x)*x+f(x)+18*x-8) ogf] A199758 7.00489 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=8,a(1)=78} ogf] A199759 12.4647 [-(19*x-9)/(11*x-1)/(x-1) ogf] A199759 13.6452 [-(89-198*x+209*x^2)/(x-1)/(19*x-9)/(11*x-1) lgdogf] A199759 6.29797 [-(870*f(x)+91)*(11*f(x)*x^2-12*f(x)*x+f(x)+19*x-9) ogf] A199759 7.03891 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=9,a(1)=89} ogf] A199760 13.2813 [-(2*x-1)/(11*x-1)/(x-1) ogf] A199760 14.9376 [-2*(5-11*x+11*x^2)/(x-1)/(2*x-1)/(11*x-1) lgdogf] A199760 6.78501 [-(49*f(x)+1)*(11*f(x)*x^2-12*f(x)*x+f(x)+2*x-1) ogf] A199760 7.34378 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=1,a(1)=10} ogf] A199761 13.3440 [-2*(2*x-1)/(11*x-1)/(x-1) ogf] A199761 15.0095 [-2*(5-11*x+11*x^2)/(x-1)/(2*x-1)/(11*x-1) lgdogf] A199761 6.81702 [-(49*f(x)+2)*(11*f(x)*x^2-12*f(x)*x+f(x)+4*x-2) ogf] A199761 7.37842 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=2,a(1)=20} ogf] A199762 12.1034 [-5*(2*x-1)/(11*x-1)/(x-1) ogf] A199762 13.8879 [-2*(5-11*x+11*x^2)/(x-1)/(2*x-1)/(11*x-1) lgdogf] A199762 5.86833 [-(10781*f(x)-3905)*(11*f(x)*x^2-12*f(x)*x+f(x)+10*x-5) ogf] A199762 6.83487 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=5,a(1)=50} ogf] A199763 12.3873 [-10*(2*x-1)/(11*x-1)/(x-1) ogf] A199763 14.5223 [-2*(5-11*x+11*x^2)/(x-1)/(2*x-1)/(11*x-1) lgdogf] A199763 6.06978 [-(10781*f(x)-7810)*(11*f(x)*x^2-12*f(x)*x+f(x)+20*x-10) ogf] A199763 6.97676 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=10,a(1)=100} ogf] A199764 12.3873 [-(21*x-11)/(11*x-1)/(x-1) ogf] A199764 13.2315 [-(111-242*x+231*x^2)/(x-1)/(21*x-11)/(11*x-1) lgdogf] A199764 6.19365 [-(1090*f(x)+331)*(11*f(x)*x^2-12*f(x)*x+f(x)+21*x-11) ogf] A199764 6.97676 [{a(n+2)-12*a(n+1)+11*a(n),a(0)=11,a(1)=111} ogf] A199771 14.4789 [-(5+14*x+20*x^2+3*x^4+6*x^3)/(x-1)/(x+1)/(x^3+x^2+3*x+1) lgdogf] A199771 8.88220 [(x^3+x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A199772 8.58368 [-(x-1)*(x^4+5*x^3+30*x^2+5*x+1)/(x^6-66*x^3+1) ogf] A199773 8.70560 [(x+1)*(x^4+15*x^3+88*x^2+15*x+1)/(x^6-66*x^3+1) ogf] A199774 9.52685 [x*(3*x^4+5*x^3+32*x^2+5*x+3)/(x^6-66*x^3+1) ogf] A199798 8.44956 [-(13*x^5+21*x^4+132*x^3-21*x^2-13*x-4)/(x^6-66*x^3+1) ogf] A199802 23.5260 [1/(x^4-x^3+2*x^2-2*x+1) ogf] A199802 26.7733 [-(-2+4*x-3*x^2+4*x^3)/(2*x^2+1-2*x+x^4-x^3) lgdogf] A199802 9.04844 [(f(x)+4)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A199803 22.6224 [1/(x^4-x^3-x^2+x+1) ogf] A199803 32.8127 [-(x-1)*(4*x^2+x-1)/(-x^2+1+x+x^4-x^3) lgdogf] A199803 9.16116 [-(f(x)-2)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+f(x)*x+f(x)-1) ogf] A199804 11.2783 [{-a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A199804 13.0884 [(f(x)-1)*(f(x)*x^3+f(x)*x+f(x)-1) ogf] A199804 32.1261 [1/(x^3+x+1) ogf] A199804 57.1155 [-(1+3*x^2)/(1+x+x^3) lgdogf] A199805 22.8691 [1/(x^4-x^3+5*x^2+x+1) ogf] A199805 26.5094 [-(1+10*x-3*x^2+4*x^3)/(5*x^2+1+x+x^4-x^3) lgdogf] A199805 8.72128 [(67*f(x)+7)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x+f(x)-1) ogf] A199833 10.6994 [4*(x^2+6*x+1)/(x-1)^4 ogf] A199833 22.2613 [-2*(5+10*x+x^2)/(x-1)/(x^2+6*x+1) lgdogf] A199833 3.70770 [{(n+4)*a(n+4)+(5+5*n)*a(n+3)+(-30-5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=4,a(1)=40,a(2)=140,a(3)=336} ogf] A199833 5.54782 [(434*f(x)+7561)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-24*x-4) ogf] A199834 13.2908 [-(57+304*x+198*x^2+16*x^3)/(x-1)/(8*x^3+58*x^2+47*x+2) lgdogf] A199834 8.03780 [-2*(8*x^3+58*x^2+47*x+2)/(x-1)^5 ogf] A199835 5.96838 [2*(12*x^4+281*x^3+575*x^2+183*x+5)/(x-1)^6 ogf] A199835 8.70256 [-(213+2065*x+3143*x^2+24*x^4+891*x^3)/(x-1)/(12*x^4+281*x^3+575*x^2+183*x+5) lgdogf] A199836 4.77240 [-2*(32*x^5+1167*x^4+5240*x^3+4576*x^2+748*x+11)/(x-1)^7 ogf] A199837 3.68849 [2*(56*x^6+4819*x^5+40405*x^4+73486*x^3+32914*x^2+2927*x+17)/(x-1)^8 ogf] A199838 3.19239 [-2*(128*x^7+18897*x^6+283090*x^5+937667*x^4+866735*x^3+219651*x^2+11306*x+33)/(x-1)^9 ogf] A199848 7.05641 [-(4*x^5-12*x^4+11*x^3-6*x^2+10*x-11)/(x^2+x+1)/(x-1)^4 ogf] A199849 4.70490 [-(x^11+7*x^10-16*x^9-3*x^8+10*x^7+3*x^6+16*x^5-13*x^4+x^3+14*x+26)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A199853 11.0338 [(x^3-3*x+1)/(x^3-x^2-2*x+1) ogf] A199853 19.0586 [-(x^2-x+1)^2/(x^3-3*x+1)/(x^3-x^2-2*x+1) lgdogf] A199853 5.09895 [{a(n+4)-2*a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=-1,a(2)=-1,a(3)=-3} ogf] A199853 5.85271 [-(f(x)-2)*(f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+f(x)+3*x-1) ogf] A199874 38.6084 [-x*(-1+x+x^3)/(1+x^2) revogf] A199899 10.0861 [-(x-3)*(x^2-2*x+5)/(x-1)^4 ogf] A199899 17.3787 [-(-49+23*x-7*x^2+x^3)/(x-1)/(x-3)/(x^2-2*x+5) lgdogf] A199899 5.53332 [(134*f(x)+1497)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-5*x^2+f(x)+11*x-15) ogf] A199899 5.77390 [{(-n-6)*a(n+1)-3*a(n+2)+(n+3)*a(n+3),a(0)=15,a(1)=49,a(2)=111} ogf] A199900 13.5242 [-(159-32*x-18*x^2+x^4)/(x-1)/(x^4-2*x^3-4*x^2-6*x+33) lgdogf] A199900 7.61220 [-(x^4-2*x^3-4*x^2-6*x+33)/(x-1)^5 ogf] A199901 6.18306 [-(x^5-3*x^4-10*x^3+38*x^2-83*x-75)/(x-1)^6 ogf] A199901 9.26008 [-(-533-339*x+122*x^2-x^4+x^5-42*x^3)/(x-1)/(x^5-3*x^4-10*x^3+38*x^2-83*x-75) lgdogf] A199902 5.06551 [-(x^6-8*x^5+25*x^4-104*x^3-67*x^2+586*x+171)/(x-1)^7 ogf] A199902 6.94840 [-(1783+3382*x-647*x^2+35*x^4-10*x^5+x^6-316*x^3)/(x-1)/(x^6-8*x^5+25*x^4-104*x^3-67*x^2+586*x+171) lgdogf] A199910 11.0758 [-6*(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A199910 17.2420 [-(x^2+2)*(3*x^2+2*x+1)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A199910 24.3641 [-x^3+x^2+x+2 ogf_with_Euler_transform] A199911 5.44300 [8*(x+1)*(x^2+1)*(x^4+x^3+4*x^2+x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A199912 3.83719 [-2*(7*x^10+34*x^9+87*x^8+246*x^7+380*x^6+332*x^5+380*x^4+246*x^3+87*x^2+34*x+7)/(x^2+x+1)^4/(x-1)^5 ogf] A199923 14.6977 [2*(x-1)/(3*x-1)/(5*x^2-4*x+1) lgdogf] A199923 4.29815 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A199923 7.9738 [(2+7*f(x))*(9*f(x)*x^2-6*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A199923 8.27191 [(5*x^2-4*x+1)/(3*x-1)^2 ogf] A199925 10.2225 [-(-2-4*x-6*x^2+5*x^4+4*x^5+3*x^6+2*x^7)/(x+1)/(x^2+1)/(x^5-x^3-x^2-x+1) lgdogf] A199925 8.58125 [x^3*(x^2+1)*(x+1)/(x^5-x^3-x^2-x+1) ogf] A199926 10.7745 [-(1+x^2-5*x^4+3*x^6+2*x^3+2*x^7)/(x^3+x^2-1)/(x^5-x^3-x^2-x+1) lgdogf] A199926 8.72248 [-x^3*(x^3+x^2-1)/(x^5-x^3-x^2-x+1) ogf] A199927 12.6233 [-(x^2-2*x-1)/(x^4-x^3+5*x^2+x+1) ogf] A199927 15.5997 [-(1-12*x-8*x^2-7*x^4+2*x^5)/(x^2-2*x-1)/(x^4-x^3+5*x^2+x+1) lgdogf] A199927 6.35774 [-(285*f(x)+254)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x+x^2+f(x)-2*x-1) ogf] A199928 12.2631 [(x^2+x+2)/(x^4-x^3+5*x^2+x+1) ogf] A199928 14.0415 [-(1+18*x-2*x^2+2*x^4+2*x^5+6*x^3)/(x^2+x+2)/(x^4-x^3+5*x^2+x+1) lgdogf] A199928 6.41026 [(333*f(x)+70)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x-x^2+f(x)-x-2) ogf] A199929 12.1618 [(x^2-2*x+2)/(x^4-x^3+5*x^2+x+1) ogf] A199929 13.2554 [-(4+18*x-17*x^2-7*x^4+2*x^5+12*x^3)/(x^2-2*x+2)/(x^4-x^3+5*x^2+x+1) lgdogf] A199929 6.12527 [-(141*f(x)-178)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x-x^2+f(x)+2*x-2) ogf] A199930 12.5211 [(2*x^2-x+1)/(x^4-x^3+5*x^2+x+1) ogf] A199930 14.0512 [-(2+6*x-10*x^2-5*x^4+4*x^5+6*x^3)/(2*x^2-x+1)/(x^4-x^3+5*x^2+x+1) lgdogf] A199930 6.49593 [(312*f(x)-101)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x-2*x^2+f(x)+x-1) ogf] A199931 11.8071 [(x^2+x-1)/(x^4-x^3+5*x^2+x+1) ogf] A199931 13.4397 [-(-2-12*x+7*x^2+2*x^4+2*x^5-6*x^3)/(x^2+x-1)/(x^4-x^3+5*x^2+x+1) lgdogf] A199931 5.99034 [-(264*f(x)-89)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x-x^2+f(x)-x+1) ogf] A199933 12.3167 [(2*x^2+2*x+1)/(x^4-x^3+5*x^2+x+1) ogf] A199933 14.6835 [-(-1+6*x+5*x^2+4*x^4+4*x^5)/(2*x^2+2*x+1)/(x^4-x^3+5*x^2+x+1) lgdogf] A199933 6.58801 [(3*f(x)-5)*(f(x)*x^4-f(x)*x^3+5*f(x)*x^2+f(x)*x-2*x^2+f(x)-2*x-1) ogf] A199935 10.9708 [-x^2*(x-2)/(x-1)/(x^2-x+1)/(x^2+x-1) ogf] A199935 12.6875 [-(5-12*x+9*x^2-13*x^4+4*x^5+6*x^3)/(x-1)/(x-2)/(x^2-x+1)/(x^2+x-1) lgdogf] A199944 11.1784 [-2*(9+44*x+78*x^2+13*x^4+48*x^3)/(x-1)/(x+1)/(13*x^3+19*x^2+15*x+1) lgdogf] A199944 8.67375 [2*(13*x^3+19*x^2+15*x+1)/(x+1)/(x-1)^4 ogf] A199945 3.75922 [-2*(78*x^9+303*x^8+825*x^7+1436*x^6+1731*x^5+1408*x^4+803*x^3+276*x^2+51*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^5 ogf] A199969 13.3582 [f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x) ogf] A199969 17.8949 [-x^2*(x-2)/(x-1)^2 ogf] A199969 39.2816 [-(x-3)/(x-1)/(x-2) lgdogf] A199969 8.46812 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=0,a(1)=0,a(2)=2,a(3)=3} ogf] A199972 11.8753 [(-9-2*x+11*x^2+2*x^4-8*x^3)/(x-1)/(2*x^4-5*x^3+4*x^2-3*x+4) lgdogf] A199972 8.33292 [-x^2*(2*x^4-5*x^3+4*x^2-3*x+4)/(x-1)^3 ogf] A199979 3.61434 [-(10*f(x)*x^2-11*f(x)*x+100*x^2+f(x)-100*x-1)*(333667*f(x)^2*x-37037*f(x)^2+7554880*f(x)*x-381803*f(x)+42713800*x+418840) ogf] A200028 9.98817 [-f(x)^3*x-2*f(x)^2*x^2-f(x)*x^3+f(x)-1 ogf] A200029 9.61671 [-f(x)^3*x-f(x)^2*x^2-f(x)*x^3+f(x)-1 ogf] A200030 10.8188 [f(x)^3*x-2*f(x)^2*x^2+f(x)*x^3-f(x)+1 ogf] A200031 12.6415 [-f(x)^2*x-3*f(x)*x+f(x)-x-1 ogf] A200031 13.0560 [-3/2*x-1/2+1/2*(5*x^2+10*x+1)^(1/2) revogf] A200031 22.3964 [-1/2-3/2*x+1/2*(1+10*x+5*x^2)^(1/2) revogf] A200031 3.72156 [{(25*n^2+25*n)*a(n)+(-45*n^2-105*n-60)*a(n+1)+(-5*n^2-35*n-60)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=5,a(2)=25} ogf] A200039 12.2505 [-(-15*x^2-14*x-7)/(-5*x^3-x^2+5*x+1) lgdogf] A200039 13.9402 [-2*x*(5*x+1)/(x+1)/(x-1)^3 ogf] A200039 22.1384 [-(7+14*x+15*x^2)/(x-1)/(5*x+1)/(x+1) lgdogf] A200039 4.06297 [{(-3-n)*a(n+4)+(-3-5*n)*a(n+3)+(15+n)*a(n+2)+(15+5*n)*a(n+1),a(0)=0,a(1)=2,a(2)=14,a(3)=28} ogf] A200039 6.68207 [-(68796*f(x)-567337)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+10*x^2-f(x)+2*x) ogf] A200040 3.66275 [2*(36*x^11+79*x^10+138*x^9+191*x^8+243*x^7+240*x^6+212*x^5+152*x^4+93*x^3+41*x^2+14*x+1)/(x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A200047 12.5690 [x*(x-1)^2/(x^2+x-1)/(x^3+x-1) ogf] A200047 16.1912 [-x*(2-3*x^3+3*x^4-4*x^2)/(x-1)/(x^2+x-1)/(x^3+x-1) lgdogf] A200047 9.72601 [-(3*x^5-3*x^4-4*x^3+2*x)/(x^6-x^4-2*x^2+3*x-1) lgdogf] A200048 6.10870 [(x^6+25*x^5+110*x^4+196*x^3+149*x^2+55*x+4)/(x+1)^3/(x-1)^4 ogf] A200058 7.61167 [2*(x^2+3*x+1)*(x^2+x+2)/(x^2+x+1)/(x-1)^4 ogf] A200058 9.38229 [-(13+39*x+63*x^2+39*x^4+15*x^5+2*x^6+69*x^3)/(x-1)/(x^2+x+1)/(x^2+3*x+1)/(x^2+x+2) lgdogf] A200059 4.57725 [-2*(x^9+10*x^8+51*x^7+105*x^6+159*x^5+168*x^4+135*x^3+76*x^2+28*x+3)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A200067 12.5918 [-(3+6*x+15*x^2+8*x^4+5*x^5+11*x^3)/(x-1)/(x+1)/(1+x^2)/(1+x+x^2) lgdogf] A200067 27.7796 [-x^3+2*x^2+3 ogf_with_Euler_transform] A200067 6.92126 [x^3*(x^2+1)*(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A200069 14.7368 [-(-26*x-4)/(-13*x^2-4*x+1) lgdogf] A200069 21.6718 [-1/(13*x^2+4*x-1) ogf] A200069 27.8576 [-2*(2+13*x)/(13*x^2-1+4*x) lgdogf] A200069 8.37319 [-(21*f(x)-13)*(13*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A200069 8.87759 [{-a(n+2)+4*a(n+1)+13*a(n),a(0)=1,a(1)=4} ogf] A200074 10.9487 [-f(x)^3*x^3-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A200141 11.4027 [-(4*x^6+5*x^5+3*x^4+5*x^3+8*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A200142 13.1223 [-(15*x+10)/(6*x^2-x-1) lgdegf] A200142 24.7905 [-5*(2+3*x)/(1+3*x)/(2*x-1) lgdegf] A200142 5.70534 [{(-2*n^2-13*n-21)*a(n+1)+(n+2)*a(n+2),a(0)=3,a(1)=30} ogf] A200155 6.14575 [-(x^7-2*x^6-4*x^4+2*x^3-8*x^2-x-4)/(x^2+x+1)^2/(x-1)^4 ogf] A200166 11.1784 [-(17+77*x+155*x^2+36*x^4+99*x^3)/(x-1)/(x+1)/(18*x^3+15*x^2+14*x+1) lgdogf] A200166 7.20085 [-(-36*x^4-99*x^3-155*x^2-77*x-17)/(-18*x^5-15*x^4+4*x^3+14*x^2+14*x+1) lgdogf] A200166 8.67375 [2*(18*x^3+15*x^2+14*x+1)/(x+1)/(x-1)^4 ogf] A200182 12.5496 [-2*(3+5*x+2*x^2-3*x^5+x^6+x^3)/(x-1)/(x^2+x+1)/(2*x^4-5*x^3+2*x^2+3) lgdogf] A200182 9.76939 [-(2*x^4-5*x^3+2*x^2+3)/(x^2+x+1)/(x-1)^3 ogf] A200183 5.71178 [-(x^9+2*x^8-3*x^6-x^5+2*x^4+10*x^3+13*x^2+12*x+2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A200184 5.06762 [-(2*x^11-5*x^9-4*x^8+4*x^7+5*x^6+2*x^5-x^4-4*x^3-8*x^2-9*x-6)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A200193 7.61167 [2*(x^2+3*x+1)*(2*x^2+x+1)/(x^2+x+1)/(x-1)^4 ogf] A200193 9.26925 [-(7+27*x+57*x^2+51*x^4+27*x^5+4*x^6+67*x^3)/(x-1)/(x^2+x+1)/(x^2+3*x+1)/(2*x^2+x+1) lgdogf] A200194 4.63288 [-2*x*(3*x^8+26*x^7+79*x^6+133*x^5+171*x^4+155*x^3+109*x^2+48*x+12)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A200205 5.41395 [2*(3*x^6+9*x^5+26*x^4+47*x^3+31*x^2+22*x+6)/(x^2+x+1)^2/(x-1)^4 ogf] A200220 8.98001 [-(x^4-x^3-x^2+x+1)/(x^6-x^5-x^4+4*x^3+3*x^2-1) ogf] A200249 10.3783 [-(-2*x^2-8*x-7)/(-2*x^3-7*x^2-5*x+2) lgdogf] A200249 14.7603 [-3*(x+2)/(2*x^2+3*x-1) ogf] A200249 19.1618 [-(7+8*x+2*x^2)/(x+2)/(2*x^2+3*x-1) lgdogf] A200249 7.29905 [-(29*f(x)-27)*(2*f(x)*x^2+3*f(x)*x-f(x)+3*x+6) ogf] A200249 8.00255 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=6,a(1)=21} ogf] A200250 4.28624 [-(x+2)*(x^2+2*x+2)*(x^4+4*x^3+6*x^2+4*x+2)/(x^8+7*x^7+21*x^6+35*x^5+36*x^4+24*x^3+9*x^2+x-1) ogf] A200252 10.1071 [-(-12-28*x-7*x^2-2*x^4-2*x^5+x^6+2*x^3)/(x-1)/(x+1)/(x^5-2*x^4-x^3+3*x^2-2*x-5) lgdogf] A200252 7.46423 [-(x^5-2*x^4-x^3+3*x^2-2*x-5)/(x+1)^2/(x-1)^4 ogf] A200253 4.29715 [-(x^11-2*x^10+3*x^8-2*x^7+13*x^6+12*x^5+21*x^4+13*x^3+21*x^2+8*x+8)/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A200258 12.8488 [4*(x+8)/(x^2-47*x+1) ogf] A200258 17.9716 [-(x+29)*(x-13)/(x+8)/(x^2-47*x+1) lgdogf] A200258 6.42442 [(17703*f(x)+2020)*(f(x)*x^2-47*f(x)*x+f(x)-4*x-32) ogf] A200258 6.94132 [{-a(n+2)+47*a(n+1)-a(n),a(0)=32,a(1)=1508} ogf] A200258 8.62707 [-(x^2+16*x-377)/(x^3-39*x^2-375*x+8) lgdogf] A200310 8.38174 [x*(x^5+x^4+x^3+x+1)/(x-1)/(2*x^2-1)/(x^2+x+1)/(x^2-x+1) ogf] A200312 13.8151 [(-x+(-12*x^2+1)^(1/2))*x revogf] A200312 27.6906 [(-x+(-12*x^2+1)^(1/2))*x revogf] A200312 3.71944 [{(48*n^2+192*n+180)*a(n+1)+(4*n^2+22*n+30)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=1,a(2)=8} ogf] A200316 7.78582 [(2*x^5-4*x^4+5*x^3-9*x^2+5*x-1)/(2*x^2-4*x+1)/(x-1)^3 ogf] A200316 8.47230 [-2*(-1+6*x-19*x^2-x^4-16*x^5+6*x^6+28*x^3)/(x-1)/(2*x^2-4*x+1)/(2*x^5-4*x^4+5*x^3-9*x^2+5*x-1) lgdogf] A200317 22.1679 [-1+cos(x)+x revegf] A200317 63.3814 [-1+cos(x)+x revegf] A200318 13.4829 [-1/2*exp(-x)-1/2*exp(x)+x+1 revegf] A200318 27.5134 [-1/2*exp(x)-1/2*exp(-x)+x+1 revegf] A200319 20.3657 [x+1-exp(x^2) revegf] A200319 60.1157 [x+1-exp(x^2) revegf] A200320 17.5752 [x+1-exp(1/2*x^2) revegf] A200320 47.5706 [x+1-exp(1/2*x^2) revegf] A200375 17.7709 [(-x+(-8*x^2+1)^(1/2))*x revogf] A200375 36.5273 [(-x+(-8*x^2+1)^(1/2))*x revogf] A200375 4.68683 [{(-32*n^2-128*n-120)*a(n+1)+(-4*n^2-22*n-30)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A200376 11.1713 [(-72*x^3+(-8*x^2+1)^(1/2)+9*x)/(72*x^4-17*x^2+1) lgdogf] A200376 14.0085 [9*f(x)^2*x^2-f(x)^2+2*f(x)*x+1 ogf] A200376 15.7964 [(9*x-72*x^3+(-8*x^2+1)^(1/2))/(3*x-1)/(1+3*x)/(8*x^2-1) lgdogf] A200380 24.3068 [1+2*x-1/2*x^2 lgdegf] A200380 4.49606 [{(-n^2-5*n-6)*a(n+1)+(4*n+12)*a(n+2)-2*a(n+4)+2*a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A200380 60.5928 [1+2*x-1/2*x^2 lgdegf] A200407 8.31383 [-(x-1)*(x^4+10*x^3+141*x^2+10*x+1)/(x^6-340*x^3+1) ogf] A200408 10.8058 [-(x^3-7*x^2+13*x+1)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A200408 5.90946 [(49297*f(x)-33269)*(f(x)*x^4-3*f(x)*x^3+x^3+3*f(x)*x-7*x^2-f(x)+13*x+1) ogf] A200408 8.74212 [-(16-14*x+15*x^2+60*x^4-14*x^5+x^6-80*x^3)/(x-1)/(x+1)/(x^2-3*x+1)/(x^3-7*x^2+13*x+1) lgdogf] A200409 7.76524 [(x+1)*(x^4+38*x^3+533*x^2+38*x+1)/(x^6-340*x^3+1) ogf] A200431 11.0180 [4*x*(3*x+5)/(x-1)^4 ogf] A200431 15.0654 [-(9*x+23)/(3*x^2+2*x-5) lgdogf] A200431 31.6285 [-(23+9*x)/(3*x+5)/(x-1) lgdogf] A200431 4.82487 [{(10+5*n)*a(n+3)+(-25-2*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=20,a(2)=92} ogf] A200431 5.27289 [(2501120*f(x)+35635581)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-12*x^2+f(x)-20*x) ogf] A200432 10.9784 [-(9*x^2+54*x+52)/(3*x^3+9*x^2-4*x-8) lgdogf] A200432 19.3046 [-(52+54*x+9*x^2)/(x-1)/(3*x^2+12*x+8) lgdogf] A200432 3.55182 [{(24+8*n)*a(n+4)+(-44+4*n)*a(n+3)+(-63-9*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=80,a(2)=520,a(3)=1830} ogf] A200432 8.32841 [-10*x*(3*x^2+12*x+8)/(x-1)^5 ogf] A200433 10.7357 [-2*(279+799*x+452*x^2+54*x^3)/(x-1)/(36*x^3+199*x^2+240*x+53) lgdogf] A200433 6.15419 [4*x*(36*x^3+199*x^2+240*x+53)/(x-1)^6 ogf] A200433 6.92346 [-(108*x^3+904*x^2+1598*x+558)/(36*x^4+163*x^3+41*x^2-187*x-53) lgdogf] A200434 4.78701 [-2*x*(303*x^4+2784*x^3+5520*x^2+2870*x+297)/(x-1)^7 ogf] A200435 3.91163 [2*x*(1053*x^5+15963*x^4+57919*x^3+61141*x^2+17584*x+964)/(x-1)^8 ogf] A200436 3.18063 [-2*x*(4044*x^6+92708*x^5+536812*x^4+993850*x^3+601789*x^2+104914*x+3390)/(x-1)^9 ogf] A200439 11.5891 [(3*x+1)*(2*x^2-x-2)/(x-1)/(x+1) ogf] A200439 12.3713 [(7+6*x-11*x^2+6*x^4)/(x-1)/(1+3*x)/(x+1)/(2*x^2-x-2) lgdogf] A200439 6.88100 [{-a(n+4)+a(n+2),a(0)=2,a(1)=7,a(2)=3,a(3)=1} ogf] A200439 7.68111 [(74*f(x)-277)*(f(x)*x^2-6*x^3+x^2-f(x)+7*x+2) ogf] A200441 13.4294 [-(2*x-33)/(x^2-33*x+1) lgdogf] A200441 19.7491 [1/(x^2-33*x+1) ogf] A200441 28.7016 [-(-33+2*x)/(x^2+1-33*x) lgdogf] A200441 7.89967 [(1087*f(x)+2)*(f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A200441 7.99370 [{-a(n+2)+33*a(n+1)-a(n),a(0)=1,a(1)=33} ogf] A200442 12.9761 [-(2*x-31)/(x^2-31*x+1) lgdogf] A200442 19.0825 [1/(x^2-31*x+1) ogf] A200442 27.7162 [-(-31+2*x)/(x^2+1-31*x) lgdogf] A200442 7.72387 [{-a(n+2)+31*a(n+1)-a(n),a(0)=1,a(1)=31} ogf] A200442 7.72388 [(959*f(x)+2)*(f(x)*x^2-31*f(x)*x+f(x)-1) ogf] A200455 10.1720 [-(6*x^3+9*x^2+16*x+5)/(3*x^4+x^3-x^2-x-2) lgdogf] A200455 13.5071 [-2*(3*x^2+x+2)/(x+1)/(x-1)^3 ogf] A200455 17.9674 [-(5+16*x+9*x^2+6*x^3)/(x-1)/(x+1)/(3*x^2+x+2) lgdogf] A200455 6.80935 [(106812*f(x)-909173)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+6*x^2-f(x)+2*x+4) ogf] A200456 3.76360 [2*(x+1)*(9*x^9+9*x^8+39*x^7+52*x^6+72*x^5+63*x^4+65*x^3+31*x^2+18*x+2)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A200528 3.65642 [-(4*x^9-4*x^8-11*x^7+25*x^6-x^5-38*x^4+31*x^3+13*x^2-22*x+6)/(x-1)/(x+1)/(x^2+x-1)/(x^4-x^3+2*x-1)/(2*x-1)^2 ogf] A200535 10.6806 [-(4*x^4-9*x^3+7*x^2-5*x-1)/(-x^5+2*x^4-3*x^3+3*x^2-2*x+1) lgdogf] A200535 12.0628 [(x^2-x+1)*(x^2+1)^2/(x-1)^2 ogf] A200535 20.1693 [(-1-5*x+7*x^2+4*x^4-9*x^3)/(x-1)/(x^2+1)/(x^2-x+1) lgdogf] A200535 24.9205 [-x^5-2*x^3+x^2+3*x+1 ogf_with_Euler_transform] A200537 8.42689 [(x+1)*(x^2+1)*(4*x^2+1)*(4*x^3+1)/(2*x^2-1)^2 ogf] A200541 8.62831 [-(-1-6*x-13*x^2+6*x^4-2*x^5-x^6+3*x^8-10*x^3+2*x^7)/(x^3+x^2-1)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) lgdogf] A200541 9.36285 [(x^3+x^2-1)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) ogf] A200543 10.5637 [-(x+1)*(x^2+2*x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A200543 9.61209 [-(1+18*x^2-12*x^4+6*x^6+3*x^8-12*x^3+12*x^7)/(x+1)/(x^2+2*x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) lgdogf] A200544 18.0236 [-(-x-1)/(-x^2-x+1) ogf_with_Euler_transform] A200554 5.43973 [2*(2*x^6+9*x^5+24*x^4+47*x^3+31*x^2+24*x+7)/(x^2+x+1)^2/(x-1)^4 ogf] A200555 3.80134 [-2*(4*x^9+37*x^8+205*x^7+544*x^6+912*x^5+1046*x^4+826*x^3+426*x^2+127*x+13)/(x+1)^2/(x^2+x+1)^2/(x-1)^5 ogf] A200561 14.2215 [-(-24*x^2-4*x+1)/(-8*x^3-2*x^2+x+1) lgdogf] A200561 22.5462 [-2/(2*x-1)/(4*x^2+3*x+1) ogf] A200561 25.2764 [-(-1+4*x+24*x^2)/(2*x-1)/(4*x^2+3*x+1) lgdogf] A200561 8.25354 [{-a(n+3)-a(n+2)+2*a(n+1)+8*a(n),a(0)=2,a(1)=-2,a(2)=6} ogf] A200561 9.24395 [(5*f(x)-16)*(8*f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+2) ogf] A200562 11.8755 [-(3+12*x-12*x^2+64*x^4+32*x^3)/(2*x+1)/(2*x-1)/(4*x-1)/(4*x^2+3*x+1) lgdogf] A200562 12.1429 [-(-24*x^2-4*x+1)/(-8*x^3-2*x^2+x+1) lgdogf] A200562 21.3321 [-1/(2*x-1)/(4*x^2+3*x+1) ogf] A200562 7.04721 [{-a(n+3)-a(n+2)+2*a(n+1)+8*a(n),a(0)=1,a(1)=-1,a(2)=3} ogf] A200562 7.9726 [(5*f(x)-8)*(8*f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+1) ogf] A200563 14.9039 [-2*(4*x+1)/(2*x-1)/(4*x^2+3*x+1) ogf] A200563 15.4617 [-(3+4*x+32*x^2+64*x^3)/(4*x+1)/(2*x-1)/(4*x^2+3*x+1) lgdogf] A200563 7.05272 [-(317*f(x)-1712)*(8*f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+8*x+2) ogf] A200563 7.05272 [{a(n+3)+a(n+2)-2*a(n+1)-8*a(n),a(0)=2,a(1)=6,a(2)=-2} ogf] A200563 9.40363 [-(-64*x^3-32*x^2-4*x-3)/(-32*x^4-16*x^3+2*x^2+5*x+1) lgdogf] A200572 7.82642 [-2*(x^2+x-1)*(x+1)^2/(2*x^5+3*x^4-x^3-x^2-2*x+1) ogf] A200572 7.84892 [-(3-5*x+4*x^2-6*x^4+12*x^5+10*x^6-6*x^3+2*x^7)/(x+1)/(-1+x+x^2)/(2*x^5+3*x^4-x^3-x^2-2*x+1) lgdogf] A200581 6.31918 [-297*(x^3-123*x^2-15005*x-1)/(x^2+1364*x-1)/(x^2-1364*x-1) ogf] A200582 7.33779 [297*(x^3-15005*x^2+123*x+1)/(x^2+1364*x-1)/(x^2-1364*x-1) ogf] A200613 4.64616 [64*f(x)^2*x^4-48*f(x)^2*x^3+12*f(x)^2*x^2+80*f(x)*x^3-f(x)^2*x-72*f(x)*x^2+21*f(x)*x+25*x^2-2*f(x)-14*x+2 ogf] A200661 8.26569 [-(x^2+1)*(x^4-x^3-2*x^2+x+2)/(x-1)/(x^6-x^4-x^3-x^2+1) ogf] A200672 13.6444 [(x^2+x+1)/(x-1)/(2*x^3-1) ogf] A200672 13.8445 [-(-2-2*x-5*x^2+4*x^4+4*x^5+4*x^3)/(x-1)/(2*x^3-1)/(x^2+x+1) lgdogf] A200672 7.43132 [(13*f(x)+9)*(2*f(x)*x^4-2*f(x)*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A200672 9.90843 [-(4*x^5+4*x^4+4*x^3-5*x^2-2*x-2)/(2*x^6-3*x^3+1) lgdogf] A200674 10.2365 [x*(x+1)*(2*x-1)/(x-1)/(6*x-1)/(3*x-1) ogf] A200674 5.15614 [{-a(n+4)+10*a(n+3)-27*a(n+2)+18*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=61} ogf] A200674 5.70557 [(412*f(x)-297)*(18*f(x)*x^3-27*f(x)*x^2-2*x^3+10*f(x)*x-x^2-f(x)+x) ogf] A200674 6.56678 [-(36*x^4+36*x^3-101*x^2+58*x-9)/(36*x^5-36*x^4-25*x^3+35*x^2-11*x+1) lgdogf] A200674 8.23811 [-(-9+58*x-101*x^2+36*x^4+36*x^3)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1)/(x+1) lgdogf] A200675 11.1527 [-(1+2*x+3*x^2+6*x^4+4*x^5+2*x^6+8*x^3)/(x+1)/(x^2+1)/(2*x^4-1) lgdogf] A200675 12.4083 [-(x^2+1)*(x+1)/(2*x^4-1) ogf] A200675 8.03718 [{a(n+4)-2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A200675 8.95282 [-f(x)*(2*f(x)*x^4+x^3+x^2-f(x)+x+1) ogf] A200676 11.9407 [-(3*x^2-5*x+1)/(x^3-3*x^2+5*x-1) ogf] A200676 14.4358 [-x^2*(3*x-1)*(x-3)/(3*x^2-5*x+1)/(x^3-3*x^2+5*x-1) lgdogf] A200676 6.62165 [{a(n+3)-5*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A200676 7.83205 [-(3*x^4-10*x^3+3*x^2)/(3*x^5-14*x^4+31*x^3-31*x^2+10*x-1) lgdogf] A200676 8.18404 [-f(x)*x^3+3*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+5*x-1 ogf] A200678 11.4748 [-2*(-1-x-x^2+2*x^4+2*x^5+2*x^6-3*x^3+2*x^7)/(x-1)/(x+1)/(x^2+1)/(2*x^4-1) lgdogf] A200678 12.3691 [(x^2+1)*(x+1)/(x-1)/(2*x^4-1) ogf] A200678 8.53468 [-(-4*x^7-4*x^6-4*x^5-4*x^4+6*x^3+2*x^2+2*x+2)/(-2*x^8+3*x^4-1) lgdogf] A200715 12.1552 [-(3*x^2-x+1)/(x^3-3*x^2+x-1) ogf] A200715 17.4019 [-x^2*(3+3*x^2-2*x)/(3*x^2-x+1)/(x^3-3*x^2+x-1) lgdogf] A200715 6.74059 [{a(n+3)-a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A200715 8.33106 [-f(x)*x^3+3*f(x)*x^2-f(x)*x-3*x^2+f(x)+x-1 ogf] A200715 8.33107 [-(-3*x^4+2*x^3-3*x^2)/(-3*x^5+10*x^4-7*x^3+7*x^2-2*x+1) lgdogf] A200724 13.5427 [-(2*x-35)/(x^2-35*x+1) lgdogf] A200724 19.9158 [1/(x^2-35*x+1) ogf] A200724 28.9480 [-(-35+2*x)/(x^2+1-35*x) lgdogf] A200724 7.96633 [(1223*f(x)+2)*(f(x)*x^2-35*f(x)*x+f(x)-1) ogf] A200724 8.06115 [{-a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=35} ogf] A200725 11.9146 [f(x)^3*x^3+f(x)^3*x+x^2-f(x)+1 ogf] A200739 12.5890 [-(x^2-5*x+1)/(x^3-x^2+5*x-1) ogf] A200739 16.9186 [-x^2*(3+x^2-10*x)/(x^2-5*x+1)/(x^3-x^2+5*x-1) lgdogf] A200739 6.98119 [{a(n+3)-5*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A200739 8.34708 [-(x^4-10*x^3+3*x^2)/(x^5-6*x^4+11*x^3-27*x^2+10*x-1) lgdogf] A200739 8.62843 [-f(x)*x^3+f(x)*x^2-5*f(x)*x-x^2+f(x)+5*x-1 ogf] A200740 13.8293 [-1/2*(x^2-2*x+1+((x-1)*(x^3+x^2+3*x-1))^(1/2))/(x-1)*x revogf] A200740 8.25713 [-1/2*(x^2+(x^4+2*x^2-4*x+1)^(1/2)-2*x+1)/(x-1)*x revogf] A200751 33.6912 [1/(2*x-1) ogf_with_Euler_transform] A200752 13.0675 [-(x^2-3*x+1)/(x^3-x^2+3*x-1) ogf] A200752 17.9588 [-x^2*(3+x^2-6*x)/(x^2-3*x+1)/(x^3-x^2+3*x-1) lgdogf] A200752 7.24655 [{a(n+3)-3*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0} ogf] A200752 8.9564 [-f(x)*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)+3*x-1 ogf] A200752 8.95640 [-(x^4-6*x^3+3*x^2)/(x^5-4*x^4+7*x^3-11*x^2+6*x-1) lgdogf] A200753 12.5906 [f(x)^3*x^2-f(x)^3*x+f(x)-1 ogf] A200753 16.9724 [1/2*(1+x^2+((x-1)*(x^3+x^2+3*x-1))^(1/2))*x revogf] A200753 9.28559 [(1/2*x^2+1/2+1/2*(x^4+2*x^2-4*x+1)^(1/2))*x revogf] A200755 12.1117 [-1+f(x)+f(x)^2*x^2-f(x)^3*x ogf] A200755 16.7075 [-1/2*(1+(1-4*x+4*x^3)^(1/2))*x/(x-1)/(x+1) revogf] A200755 9.40251 [-1/2*(1+(4*x^3-4*x+1)^(1/2))/(x^2-1)*x revogf] A200757 12.3852 [-(-x^3+2*x^2-x)/(-x^2+x+1) revogf] A200757 34.7890 [-x*(x-1)^2/(-1-x+x^2) revogf] A200757 7.82223 [f(x)^3*x^2+f(x)^2*x^2-2*f(x)^2*x-f(x)*x+f(x)-1 ogf] A200759 4.21586 [-(x^9-x^8+2*x^7-3*x^6-3*x^4+4*x^3+5*x^2-10*x+4)/(x-1)/(x^3+x^2+x-1)/(x^6-x^5+2*x^4-x^3-2*x^2+3*x-1) ogf] A200764 4.95824 [-(x^8-2*x^7-x^6+4*x^5+4*x^4+7*x^3+8*x^2+9*x+5)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A200781 13.9389 [-(20*x^3-30*x^2+5)/(5*x^4-10*x^3+5*x-1) lgdogf] A200781 26.0438 [-1/(5*x^4-10*x^3+5*x-1) ogf] A200781 9.79866 [(10*f(x)-1)*(5*f(x)*x^4-10*f(x)*x^3+5*f(x)*x-f(x)+1) ogf] A200782 13.6795 [1/(x^3-3*x^2+1)/(x^3+3*x^2-6*x+1) ogf] A200782 7.30609 [-(-6*x^5+60*x^3-60*x^2+6)/(-x^6+15*x^4-20*x^3+6*x-1) lgdogf] A200783 16.7875 [-1/(x-1)/(x^6-6*x^5-6*x^4+29*x^3-6*x^2-6*x+1) ogf] A200783 9.25665 [-(7*x^6-42*x^5+140*x^3-105*x^2+7)/(x^7-7*x^6+35*x^4-35*x^3+7*x-1) lgdogf] A200784 4.68284 [-2*(256*x^6-864*x^5-108*x^4+2226*x^3-1512*x^2-189*x+228)/(2*x-1)/(2*x^2-2*x-1)/(2*x^4-4*x^3-6*x^2+8*x-1) ogf] A200786 13.3871 [-(75+15*x^2+x^4-6*x^3)/(x-1)/(x^4-5*x^3+10*x^2-5*x+16) lgdogf] A200786 7.52050 [-(-x^4+6*x^3-15*x^2-75)/(-x^5+6*x^4-15*x^3+15*x^2-21*x+16) lgdogf] A200786 7.59803 [-(x^4-5*x^3+10*x^2-5*x+16)/(x-1)^5 ogf] A200787 5.92180 [-(x^5-6*x^4+15*x^3-24*x^2-24*x-32)/(x-1)^6 ogf] A200787 8.74623 [-(-216-168*x-51*x^2-7*x^4+x^5+21*x^3)/(x-1)/(x^5-6*x^4+15*x^3-24*x^2-24*x-32) lgdogf] A200788 4.91110 [-(x^6-7*x^5+21*x^4-30*x^3+126*x^2+174*x+64)/(x-1)^7 ogf] A200788 6.96679 [-(622+1296*x+540*x^2+28*x^4-8*x^5+x^6-36*x^3)/(x-1)/(x^6-7*x^5+21*x^4-30*x^3+126*x^2+174*x+64) lgdogf] A200789 3.99976 [-(x^7-8*x^6+28*x^5-60*x^4-123*x^3-960*x^2-767*x-128)/(x-1)^8 ogf] A200790 3.57187 [-(x^8-9*x^7+36*x^6-79*x^5+522*x^4+3294*x^3+6484*x^2+2853*x+256)/(x-1)^9 ogf] A200793 13.6680 [-(I*x-I+(x^2-1+2*x)^(1/2))/x^2/(x^2-1+2*x)^(1/2) lgdegf] A200793 9.54354 [-I/(x^2+2*x-1)^(1/2)*(x-1)/x^2-1/x^2 lgdegf] A200833 4.07363 [-(611*f(x)+11110)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+16*x^3-4*f(x)*x-12*x^2+f(x)+30*x-56) ogf] A200833 7.59404 [-2*(8*x^3-6*x^2+15*x-28)/(x^4-x^3+2*x^2-4*x+1) ogf] A200834 4.93262 [-(25*x^5-20*x^4+73*x^3-62*x^2+90*x-105)/(x-1)/(x^5+3*x^3+4*x-1) ogf] A200835 4.13521 [-2*(18*x^6-33*x^5+50*x^4-85*x^3+44*x^2-105*x+88)/(x^7-2*x^6+3*x^5-5*x^4+3*x^3-6*x^2+6*x-1) ogf] A200839 12.4739 [-(69-26*x+12*x^2+x^4-6*x^3)/(x-1)/(x^4-5*x^3+9*x^2-11*x+16) lgdogf] A200839 7.28329 [-(-x^4+6*x^3-12*x^2+26*x-69)/(-x^5+6*x^4-14*x^3+20*x^2-27*x+16) lgdogf] A200839 7.73380 [-(x^4-5*x^3+9*x^2-11*x+16)/(x-1)^5 ogf] A200840 6.03343 [-(x^5-6*x^4+14*x^3-10*x^2+x-32)/(x-1)^6 ogf] A200840 9.44778 [-(-191-15*x+2*x^2-7*x^4+x^5+18*x^3)/(x-1)/(x^5-6*x^4+14*x^3-10*x^2+x-32) lgdogf] A200841 5.08005 [-(x^6-7*x^5+22*x^4-36*x^3-3*x^2+81*x+64)/(x-1)^7 ogf] A200841 7.36071 [-(529+480*x-123*x^2+31*x^4-8*x^5+x^6-56*x^3)/(x-1)/(x^6-7*x^5+22*x^4-36*x^3-3*x^2+81*x+64) lgdogf] A200842 4.38183 [-(x^7-8*x^6+29*x^5-74*x^4+151*x^3-74*x^2-441*x-128)/(x-1)^8 ogf] A200843 3.69602 [-(x^8-9*x^7+35*x^6-77*x^5+177*x^4-679*x^3+1313*x^2+1753*x+256)/(x-1)^9 ogf] A200844 5.45366 [-(x^9-10*x^8+44*x^7-94*x^6-36*x^5+622*x^4+618*x^3-10390*x^2-6115*x-512)/(x-1)^10 ogf] A200850 12.6504 [-1/x^2+I/x^2/(2*x^2-1)^(1/2) lgdegf] A200850 15.9704 [(-(-1+2*x^2)^(1/2)+I)/x^2/(-1+2*x^2)^(1/2) lgdegf] A200850 3.55792 [{(2*n^2+4*n)*a(n)+(6+4*n)*a(n+1)+(-n^2-5*n-4)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=1/2} egf] A200859 13.3932 [-(-1-28*x+15*x^2+450*x^3)/(3*x-1)/(15*x-2)/(5*x-1)/(x+1) lgdogf] A200859 13.8101 [(15*x-2)/(3*x-1)/(5*x-1)/(x+1) ogf] A200859 6.27731 [-(1932521*f(x)+3525750)*(15*f(x)*x^3+7*f(x)*x^2-7*f(x)*x+f(x)-15*x+2) ogf] A200859 6.66275 [{a(n+3)-7*a(n+2)+7*a(n+1)+15*a(n),a(0)=-2,a(1)=1,a(2)=21} ogf] A200859 8.43949 [-(-450*x^3-15*x^2+28*x+1)/(-225*x^4-75*x^3+119*x^2-29*x+2) lgdogf] A200860 13.0327 [-f(x)*x^2+2*f(x)*x-f(x)+682*x ogf] A200860 20.3844 [682*x/(x-1)^2 ogf] A200860 28.3926 [2/(-x+1) lgdogf] A200860 60.7198 [[2] ogf_with_Euler_transform] A200860 9.57823 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=682} ogf] A200862 10.1888 [-(-18*x^4+23*x^2-6*x-2)/(-18*x^5+10*x^4+13*x^3-7*x^2-2*x+1) lgdogf] A200862 15.8232 [-(3*x^2+2*x-2)*(6*x^2-4*x-1)/(-1+2*x^2)/(9*x^3-5*x^2-2*x+1) lgdogf] A200862 16.6238 [-(2*x^2-1)/(9*x^3-5*x^2-2*x+1) ogf] A200862 8.09875 [-(1418*f(x)+1717)*(9*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A200862 8.46030 [{a(n+3)-2*a(n+2)-5*a(n+1)+9*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A200864 11.3366 [-(-45*x^2-14*x+7)/(-15*x^3-7*x^2+7*x-1) lgdogf] A200864 18.0846 [1/(3*x-1)/(5*x-1)/(x+1) ogf] A200864 19.1498 [-(-7+14*x+45*x^2)/(3*x-1)/(5*x-1)/(x+1) lgdogf] A200864 6.66275 [{-a(n+3)+7*a(n+2)-7*a(n+1)-15*a(n),a(0)=1,a(1)=7,a(2)=42} ogf] A200864 7.03292 [(67531*f(x)-11475)*(15*f(x)*x^3+7*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A200865 10.9103 [-(9*x^3+3*x^2+3*x+17)/(x^4+2*x-1) ogf] A200865 6.20585 [-(79*f(x)-113)*(f(x)*x^4+9*x^3+2*f(x)*x+3*x^2-f(x)+3*x+17) ogf] A200865 8.96092 [-(37+6*x+21*x^2+9*x^4+6*x^5+9*x^6+32*x^3)/(9*x^3+3*x^2+3*x+17)/(x^4+2*x-1) lgdogf] A200866 7.18883 [-2*(8*x^4+18*x^3+6*x^2+11*x+18)/(x^5+2*x^4+x^2+2*x-1) ogf] A200867 5.61456 [-(25*x^6+30*x^5+10*x^4+102*x^3+47*x^2+65)/(x^7+x^6+4*x^4+x^3-x^2+3*x-1) ogf] A200868 4.25547 [-2*(18*x^7+57*x^6+48*x^5+67*x^4+138*x^3+50*x^2+19*x+53)/(x^8+3*x^7+2*x^6+3*x^5+7*x^4+x^3+3*x-1) ogf] A200869 3.65151 [-(49*x^9+105*x^8+70*x^7+310*x^6+389*x^5+93*x^4+462*x^3+266*x^2-49*x+161)/(x^10+2*x^9+x^8+6*x^7+7*x^6+9*x^4+4*x^3-3*x^2+4*x-1) ogf] A200872 13.0707 [-(37-34*x+12*x^2+x^4-6*x^3)/(x-1)/(x^4-5*x^3+9*x^2-13*x+10) lgdogf] A200872 7.62834 [-(x^4-6*x^3+12*x^2-34*x+37)/(x^5-6*x^4+14*x^3-22*x^2+23*x-10) lgdogf] A200872 8.10020 [-(x^4-5*x^3+9*x^2-13*x+10)/(x-1)^5 ogf] A200873 6.23947 [-(x^5-6*x^4+14*x^3-14*x^2+19*x-16)/(x-1)^6 ogf] A200873 9.46389 [-(-77+67*x-14*x^2-7*x^4+x^5+18*x^3)/(x-1)/(x^5-6*x^4+14*x^3-14*x^2+19*x-16) lgdogf] A200874 5.26802 [-(x^6-7*x^5+22*x^4-28*x^3+7*x^2-19*x+26)/(x-1)^7 ogf] A200874 7.71958 [-(163-100*x-49*x^2+31*x^4-8*x^5+x^6-24*x^3)/(x-1)/(x^6-7*x^5+22*x^4-28*x^3+7*x^2-19*x+26) lgdogf] A200875 4.63419 [-(x^7-8*x^6+29*x^5-70*x^4+55*x^3+40*x^2-7*x-42)/(x-1)^8 ogf] A200876 3.90602 [-(x^8-9*x^7+35*x^6-97*x^5+237*x^4-167*x^3-177*x^2+111*x+68)/(x-1)^9 ogf] A200880 6.78771 [-(9*x^4-6*x^3+34*x^2-15*x+22)/(x^5-x^4+4*x^3-3*x^2+3*x-1) ogf] A200881 5.00425 [-(16*x^6-12*x^5+93*x^4-56*x^3+146*x^2-56*x+50)/(x^7-x^6+6*x^5-5*x^4+10*x^3-6*x^2+4*x-1) ogf] A200882 3.61792 [-(25*x^8-20*x^7+196*x^6-135*x^5+498*x^4-270*x^3+446*x^2-150*x+95)/(x^9-x^8+8*x^7-7*x^6+21*x^5-15*x^4+20*x^3-10*x^2+5*x-1) ogf] A200887 13.0984 [-(51-18*x+12*x^2+x^4-6*x^3)/(x-1)/(x^4-5*x^3+9*x^2-9*x+12) lgdogf] A200887 7.51495 [-(-x^4+6*x^3-12*x^2+18*x-51)/(-x^5+6*x^4-14*x^3+18*x^2-21*x+12) lgdogf] A200887 8.06292 [-(x^4-5*x^3+9*x^2-9*x+12)/(x-1)^5 ogf] A200888 10.0174 [-(-121+3*x+4*x^2-7*x^4+x^5+24*x^3)/(x-1)/(x^5-6*x^4+16*x^3-11*x^2+5*x-21) lgdogf] A200888 6.47943 [-(x^5-6*x^4+16*x^3-11*x^2+5*x-21)/(x-1)^6 ogf] A200889 5.46870 [-(x^6-7*x^5+21*x^4-54*x^3+x^2+33*x+37)/(x-1)^7 ogf] A200889 8.02098 [-(292+200*x-157*x^2+28*x^4-8*x^5+x^6-132*x^3)/(x-1)/(x^6-7*x^5+21*x^4-54*x^3+x^2+33*x+37) lgdogf] A200890 4.44286 [-(x^7-8*x^6+27*x^5-48*x^4+224*x^3-11*x^2-184*x-65)/(x-1)^8 ogf] A200891 3.56306 [-(x^8-9*x^7+37*x^6-47*x^5-37*x^4-953*x^3+357*x^2+665*x+114)/(x-1)^9 ogf] A200936 3.84308 [-2*(11*x^8-12*x^7-440*x^6+492*x^5+2266*x^4-2868*x^3+904*x^2+84*x+11)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A200938 6.65311 [216*(13*x^4-4*x^3-78*x^2+28*x-3)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A200943 4.31850 [(7*x^10-13*x^9-9*x^8+20*x^7+9*x^6-15*x^5-35*x^4-5*x^3+12*x^2-5*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A200975 10.3618 [-(x^5-x^4+x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A200975 13.5069 [-(3+4*x+4*x^2+8*x^4+x^8+4*x^3)/(x-1)/(x+1)/(x^2+1)/(x^5-x^4+x+1) lgdogf] A200975 9.17447 [-(-x^8-8*x^4-4*x^3-4*x^2-4*x-3)/(-x^9+x^8-2*x^4+x+1) lgdogf] A200978 17.1771 [-12*(1+3*x+x^2)/(x-1)/(3*x^2+6*x+1) lgdegf] A200978 5.37507 [{(-n^2-9*n-20)*a(n+1)+(n+2)*a(n+2),a(0)=6,a(1)=72} ogf] A200978 6.80842 [6*(3*x^2+6*x+1)/(x-1)^6 egf] A200978 9.14564 [-(12*x^2+36*x+12)/(3*x^3+3*x^2-5*x-1) lgdegf] A200979 12.3158 [-20*(x+1)*(x^2+5*x+1)/(x-1)/(4*x^3+18*x^2+12*x+1) lgdegf] A200979 5.12339 [24*(4*x^3+18*x^2+12*x+1)/(x-1)^8 egf] A200979 5.25476 [{(-n^2-11*n-30)*a(n+1)+(n+2)*a(n+2),a(0)=24,a(1)=480} ogf] A200979 6.98644 [-(20*x^3+120*x^2+120*x+20)/(4*x^4+14*x^3-6*x^2-11*x-1) lgdegf] A200993 11.5789 [-3*(33-66*x+x^2)/(x-1)/(x^2-98*x+1) lgdogf] A200993 14.1518 [-10*x/(x-1)/(x^2-98*x+1) ogf] A200993 5.85591 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=990} ogf] A200993 8.49105 [f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+10*x ogf] A200993 9.84471 [-(3*x^2-198*x+99)/(x^3-99*x^2+99*x-1) lgdogf] A200994 12.8632 [-15*x/(x-1)/(x^2-98*x+1) ogf] A200994 17.4089 [-3*(33-66*x+x^2)/(x-1)/(x^2-98*x+1) lgdogf] A200994 5.27722 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=1485} ogf] A200994 7.71794 [f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+15*x ogf] A200994 8.94833 [-(3*x^2-198*x+99)/(x^3-99*x^2+99*x-1) lgdogf] A200998 11.5591 [-21*x/(x-1)/(x^2-194*x+1) ogf] A200998 12.8941 [-3*(65-130*x+x^2)/(x-1)/(x^2-194*x+1) lgdogf] A200998 4.85676 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=0,a(1)=21,a(2)=4095} ogf] A200998 7.04821 [f(x)*x^3-195*f(x)*x^2+195*f(x)*x-f(x)+21*x ogf] A200998 8.02714 [-(3*x^2-390*x+195)/(x^3-195*x^2+195*x-1) lgdogf] A200999 11.6646 [-28*x/(x-1)/(x^2-194*x+1) ogf] A200999 15.5491 [-3*(65-130*x+x^2)/(x-1)/(x^2-194*x+1) lgdogf] A200999 4.90111 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=0,a(1)=28,a(2)=5460} ogf] A200999 7.11258 [f(x)*x^3-195*f(x)*x^2+195*f(x)*x-f(x)+28*x ogf] A200999 8.10044 [-(3*x^2-390*x+195)/(x^3-195*x^2+195*x-1) lgdogf] A201003 11.3783 [-(323-646*x+3*x^2)/(x-1)/(x^2-322*x+1) lgdogf] A201003 12.7203 [-36*x/(x-1)/(x^2-322*x+1) ogf] A201003 5.30011 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=36,a(2)=11628} ogf] A201003 7.75625 [f(x)*x^3-323*f(x)*x^2+323*f(x)*x-f(x)+36*x ogf] A201003 8.83351 [-(3*x^2-646*x+323)/(x^3-323*x^2+323*x-1) lgdogf] A201004 12.7203 [-45*x/(x-1)/(x^2-322*x+1) ogf] A201004 5.30011 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=45,a(2)=14535} ogf] A201004 7.75625 [f(x)*x^3-323*f(x)*x^2+323*f(x)*x-f(x)+45*x ogf] A201004 8.83351 [-(3*x^2-646*x+323)/(x^3-323*x^2+323*x-1) lgdogf] A201008 12.0322 [-3*(161-322*x+x^2)/(x-1)/(x^2-482*x+1) lgdogf] A201008 3.87232 [{a(n+3)-483*a(n+2)+483*a(n+1)-a(n),a(0)=0,a(1)=55,a(2)=26565} ogf] A201008 5.6668 [f(x)*x^3-483*f(x)*x^2+483*f(x)*x-f(x)+55*x ogf] A201008 9.29356 [-55*x/(x-1)/(x^2-482*x+1) ogf] A201040 4.44884 [-(x^6+x^5-9*x^4-4*x^3+22*x^2+3*x-13)/(x-1)/(x^6+x^5-7*x^4-6*x^3+12*x^2+9*x-1) ogf] A201043 10.9594 [-(295+452*x-4*x^3+x^4+126*x^2)/(x-1)/(x^4-4*x^3+46*x^2+90*x+41) lgdogf] A201043 7.18416 [-(x^4-4*x^3+46*x^2+90*x+41)/(x-1)^5 ogf] A201044 5.68787 [-(x^5-7*x^4-78*x^3-602*x^2-567*x-99)/(x-1)^6 ogf] A201044 7.83495 [-(-1161-4039*x-262*x^3-9*x^4+x^5-2642*x^2)/(x-1)/(x^5-7*x^4-78*x^3-602*x^2-567*x-99) lgdogf] A201045 4.54867 [-(x^6-6*x^5+253*x^4+2882*x^3+6341*x^2+2896*x+239)/(x-1)^7 ogf] A201046 3.81482 [-(x^7-9*x^6-541*x^5-13449*x^4-54531*x^3-54657*x^2-13365*x-577)/(x-1)^8 ogf] A201053 8.25219 [-x*(259*x^32+37*x^28-361*x^17-133*x^4-19)/(x-1)/(37*x^28-19) ogf] A201078 12.8067 [-(-x^2-x-2)/(-x^3+x^2-x+1) ogf_with_Euler_transform] A201081 5.1986 [(9*f(x)+17)*(f(x)*x^4+f(x)*x^3-f(x)*x^2+3*x^3+2*f(x)*x+2*x^2-f(x)+x+3) ogf] A201081 9.13695 [-(7-2*x+8*x^4+2*x^3+3*x^6+4*x^5+13*x^2)/(x^4+x^3-x^2+2*x-1)/(3*x^3+2*x^2+x+3) lgdogf] A201081 9.31699 [-(3*x^3+2*x^2+x+3)/(x^4+x^3-x^2+2*x-1) ogf] A201082 4.77125 [-(x+1)*(3*x^7+4*x^6-3*x^5-6*x^4-x^3-4*x^2-x+5)/(x^9+2*x^8-4*x^6-2*x^5-2*x^3+x^2+3*x-1) ogf] A201089 5.65463 [-(x^6-2*x^5+23*x^4+106*x^3+151*x^2+100*x+25)/(x+1)^2/(x-1)^5 ogf] A201106 12.2708 [-(4*x^2+42*x+14)/(x^3+7*x^2-7*x-1) lgdogf] A201106 22.8321 [-2*(7+21*x+2*x^2)/(x-1)/(x^2+8*x+1) lgdogf] A201106 4.26251 [{(n+3)*a(n+4)+7*n*a(n+3)+(-49-7*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=1,a(2)=14,a(3)=70} ogf] A201106 8.80300 [x*(x^2+8*x+1)/(x-1)^6 ogf] A201157 12.8985 [-f(x)*x^2+3*f(x)*x-f(x)+5*x ogf] A201157 15.8544 [-(2*x-3)/(x^2-3*x+1) lgdogf] A201157 20.5678 [5*x/(x^2-3*x+1) ogf] A201157 9.39519 [{a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A201163 11.4590 [-(x^4+4*x^3+5*x^2+1)/(-x^5-5*x^4-11*x^3-14*x^2-9*x-2) lgdogf] A201163 13.9890 [(x+2)*(x^3+2*x^2+3*x+1)/(x+1)^3 ogf] A201163 24.2743 [(1+4*x^3+x^4+5*x^2)/(x+2)/(x+1)/(x^3+2*x^2+3*x+1) lgdogf] A201163 7.48021 [{-a(n+5)-3*a(n+4)-3*a(n+3)-a(n+2),a(0)=2,a(1)=1,a(2)=-2,a(3)=5,a(4)=-9} ogf] A201163 8.03844 [-(29*f(x)+207)*(f(x)*x^3-x^4+3*f(x)*x^2-4*x^3+3*f(x)*x-7*x^2+f(x)-7*x-2) ogf] A201164 6.49351 [f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3-2*f(x)^2*x-2*f(x)*x^2+x^3+f(x)^2+2*x^2+f(x)+x ogf] A201200 4.10953 [-(5250*f(x)-315313)*(44*f(x)*x^4+64*f(x)*x^3-68*f(x)*x^2-16*x^3+16*f(x)*x+34*x^2-f(x)-12*x+1) ogf] A201200 7.63198 [(8*x-1)*(2*x^2-4*x+1)/(22*x^2-12*x+1)/(2*x^2+4*x-1) ogf] A201202 4.49227 [{(-n^2-7*n-12)*a(n+1)+(-2*n-7)*a(n+2)-a(n+3),a(0)=1,a(1)=-3,a(2)=9} ogf] A201203 4.21219 [{(-n^2-7*n-12)*a(n+1)+(-2*n-9)*a(n+2)-a(n+3),a(0)=1,a(1)=-5,a(2)=29} ogf] A201207 5.13631 [-(3*x^5-x^4+6*x^3-7*x^2-2*x+4)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A201217 10.1379 [-x*(630*x^19-630*x^18+54*x^3-54*x^2-1)/(x-1)^2 ogf] A201217 8.34119 [2*(1+54*x+27*x^3+5670*x^17-11025*x^18+5355*x^19-81*x^2)/(x-1)/(630*x^19-630*x^18+54*x^3-54*x^2-1) lgdogf] A201223 12.9008 [-(x+1)*(x^4+6*x^3+2*x^2+2*x-3)/(x-1)/(x^2+2*x-1)/(x^3+3*x^2-x+1) lgdogf] A201225 4.78345 [20*(x^4-346*x^3+7424*x^2-11254*x-305)/(x-1)/(x^2-18*x+1)/(x^2-322*x+1) ogf] A201227 4.22242 [-(1275460711*f(x)-1729105299675)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x-23625*x^2-f(x)+398250*x+219375) ogf] A201227 4.86218 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=219375,a(1)=4566375,a(2)=82569375} ogf] A201227 8.33517 [3375*(7*x^2-118*x-65)/(x^2-18*x+1)/(x-1) ogf] A201236 12.2355 [-(-9-34*x-6*x^3+x^4+18*x^2)/(x-1)/(2*x^5-9*x^4+15*x^3-9*x^2-4*x-1) lgdogf] A201236 7.44053 [2*x*(2*x^5-9*x^4+15*x^3-9*x^2-4*x-1)/(x-1)^5 ogf] A201236 7.50879 [-(x^4-6*x^3+18*x^2-34*x-9)/(2*x^6-11*x^5+24*x^4-24*x^3+5*x^2+3*x+1) lgdogf] A201237 5.08321 [-2*x^2*(3*x^7-15*x^6+25*x^5-7*x^4-17*x^3-15*x^2+83*x+3)/(x-1)^7 ogf] A201238 3.58523 [x^3*(8*x^9-54*x^8+189*x^7-551*x^6+1404*x^5-2552*x^4+2685*x^3-783*x^2-1798*x-228)/(x-1)^9 ogf] A201243 11.1094 [-(2*x^3-18*x-14)/(x^4-2*x^3-3*x^2+2*x+2) lgdogf] A201243 20.7996 [-2*(-7-9*x+x^3)/(x-1)/(x+1)/(x^2-2*x-2) lgdogf] A201243 4.41987 [{(-13*n^2-105*n-158)*a(n+1)+(n^2-77*n-400)*a(n+2)+(12*n^2+82*n+116)*a(n+3),a(0)=0,a(1)=4,a(2)=28} ogf] A201243 9.03401 [2*x*(x+1)*(x^2-2*x-2)/(x-1)^5 ogf] A201244 5.83520 [-2*x^2*(x^5+3*x^4-24*x^3+24*x^2+37*x+19)/(x-1)^7 ogf] A201244 9.98979 [-2*(85+135*x-42*x^3+7*x^4+x^5+24*x^2)/(x-1)/(x^5+3*x^4-24*x^3+24*x^2+37*x+19) lgdogf] A201245 3.92362 [-x^2*(2*x^8-55*x^7+230*x^6-254*x^5-225*x^4+173*x^3+1380*x^2+400*x+29)/(x-1)^9 ogf] A201271 9.08366 [-(x^8-3*x^5+x^4+3*x^3+4*x^2+5*x+3)/(x-1)^3/(x^2+x+1)^3 ogf] A201279 12.4005 [-(x^2+14*x+21)/(x^3+5*x^2-x-5) lgdogf] A201279 13.4169 [-(x+5)*(x+1)/(x-1)^3 ogf] A201279 25.1002 [-(21+14*x+x^2)/(x+5)/(x-1)/(x+1) lgdogf] A201279 7.05545 [(594*f(x)-3901)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+6*x+5) ogf] A201279 7.17923 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=21,a(2)=49} ogf] A201347 17.0048 [-2*(2-2*x+x^3+x^2)/(x-1)/(x^4-2*x^3+4*x^2-4*x+2) lgdogf] A201347 4.07663 [{-30*n*a(n)+(-19*n^2-19*n-60)*a(n+1)+(32*n^2+14*n-264)*a(n+2)+(-13*n^2+17*n+168)*a(n+3),a(0)=2,a(1)=4,a(2)=8} ogf] A201347 5.58142 [-(f(x)-2)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+2*x^3-4*f(x)*x-4*x^2+f(x)+4*x-2) ogf] A201347 9.45036 [-(-2*x^3-2*x^2+4*x-4)/(-x^5+3*x^4-6*x^3+8*x^2-6*x+2) lgdogf] A201347 9.78391 [(x^4-2*x^3+4*x^2-4*x+2)/(x-1)^4 ogf] A201348 4.67242 [-(2*x^8-20*x^7+59*x^6-85*x^5+62*x^4-15*x^3-10*x^2+8*x-2)/(x-1)^8 ogf] A201371 15.7991 [-(-5+2*x+8*x^3-15*x^2)/(x-1)/(4*x^3-9*x^2+5*x-2) lgdogf] A201371 3.88448 [{(301*n^2+2531*n+4884)*a(n+1)+(-635*n^2-4093*n-5046)*a(n+2)+(334*n^2+1430*n+1284)*a(n+3),a(0)=2,a(1)=5,a(2)=14} ogf] A201371 8.88518 [(4*x^3-9*x^2+5*x-2)/(x-1)^5 ogf] A201371 9.31339 [-(-8*x^3+15*x^2-2*x+5)/(-4*x^4+13*x^3-14*x^2+7*x-2) lgdogf] A201372 5.85017 [2*(6*x^5-15*x^4+9*x^3-11*x^2+4*x-1)/(x-1)^7 ogf] A201372 9.31699 [-(-3+2*x-24*x^3-15*x^4+12*x^5-28*x^2)/(x-1)/(6*x^5-15*x^4+9*x^3-11*x^2+4*x-1) lgdogf] A201445 4.59705 [-(x^13-x^11-3*x^9-x^8+2*x^7-9*x^6+2*x^5-17*x^4-7*x^3-15*x^2-2*x-6)/(x^2+1)^3/(x-1)^4/(x+1)^4 ogf] A201455 10.7136 [-(12*x^2-16*x-3)/(12*x^3+x^2-9*x+2) lgdogf] A201455 15.9513 [(3*x-2)/(x+1)/(4*x-1) ogf] A201455 7.97566 [(650*f(x)-1219)*(4*f(x)*x^2+3*f(x)*x-f(x)-3*x+2) ogf] A201455 8.75378 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=2,a(1)=3} ogf] A201458 10.6792 [1/(3*x^2-3*x+1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A201458 10.7952 [-(9-52*x-144*x^3+72*x^4+124*x^2)/(2*x-1)/(3*x^2-3*x+1)/(2*x^2-2*x+1) lgdogf] A201458 7.05227 [-(-72*x^4+144*x^3-124*x^2+52*x-9)/(-12*x^5+30*x^4-34*x^3+21*x^2-7*x+1) lgdogf] A201465 23.3715 [3*x+2-2*exp(x) revegf] A201465 52.5793 [2+3*x-2*exp(x) revegf] A201466 22.4004 [4*x+3-3*exp(x) revegf] A201466 50.3750 [3+4*x-3*exp(x) revegf] A201471 13.3776 [-(2*x^7-2*x^6-x^4+x^3-x^2+2*x-3)/(x-1)^2 ogf] A201471 13.9959 [(4+5*x^3-2*x^4+12*x^5-22*x^6+10*x^7-3*x^2)/(x-1)/(2*x^7-2*x^6-x^4+x^3-x^2+2*x-3) lgdogf] A201500 9.93682 [-(x^7-2*x^5+x^3+2*x^2+2*x+2)/(x^2+1)/(x-1)^3/(x+1)^3 ogf] A201533 3.58827 [(x^11-5*x^10+9*x^9-x^8-20*x^7+19*x^6+25*x^5-76*x^4+84*x^3-52*x^2+18*x-3)/(x-1)^9 ogf] A201546 3.00894 [{(-16*n^4-176*n^3-724*n^2-1320*n-900)*a(n+1)+(8*n^3+68*n^2+190*n+172)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=14,a(2)=222} egf] A201553 5.75598 [-(x^5-7*x^4-120*x^3-940*x^2-905*x-141)/(x-1)^6 ogf] A201553 7.88006 [-(-1751-6405*x-388*x^3-9*x^4-4120*x^2+x^5)/(x-1)/(x^5-7*x^4-120*x^3-940*x^2-905*x-141) lgdogf] A201554 4.60457 [-(x^6-6*x^5+407*x^4+5370*x^3+11999*x^2+5384*x+393)/(x-1)^7 ogf] A201618 10.3658 [2*(-2-12*x^3+10*x^4+6*x^2-5*x^5+x^6)/(x-1)/(x^2-2*x+2)/(x^4-2*x^3+4*x^2-4*x+2) lgdogf] A201618 7.52369 [x*(x^2-2*x+2)*(x^4-2*x^3+4*x^2-4*x+2)/(x-1)^4 ogf] A201629 13.0993 [-(-4*x^2+2*x-2)/(-x^3+x^2-x+1) lgdogf] A201629 15.8180 [2*x^2/(x-1)^2/(x^2+1) ogf] A201629 28.8091 [[x^3-x+2] ogf_with_Euler_transform] A201629 29.6388 [-2*(1-x+2*x^2)/(x-1)/(1+x^2) lgdogf] A201629 4.32141 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=4} ogf] A201629 8.46821 [-f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x+2*x^2-f(x) ogf] A201630 12.0259 [-(-10*x^2-8*x-7)/(-10*x^3-9*x^2+3*x+2) lgdogf] A201630 17.6380 [-(5*x+2)/(x+1)/(2*x-1) ogf] A201630 21.0736 [-(7+8*x+10*x^2)/(5*x+2)/(2*x-1)/(x+1) lgdogf] A201630 9.12307 [(15*f(x)+19)*(2*f(x)*x^2+f(x)*x-f(x)+5*x+2) ogf] A201630 9.67937 [{a(n+2)-a(n+1)-2*a(n),a(0)=2,a(1)=7} ogf] A201632 6.85689 [-(3*x^4-70*x^2+48*x+35)/(x^2-6*x+1)/(x^2+6*x+1)/(x-1) ogf] A201633 7.38064 [(x^4+x^3-22*x^2-17*x-11)/(x^2-6*x+1)/(x^2+6*x+1)/(x-1) ogf] A201686 4.49455 [{(-4*n^2-20*n-24)*a(n+1)+(4*n^2+18*n+18)*a(n+2)+(n^2+9*n+16)*a(n+3)+(-n^2-7*n-10)*a(n+4),a(0)=-1,a(1)=-1,a(2)=0,a(3)=1} ogf] A201686 7.53401 [-2*f(x)^2*x^4+5*f(x)^2*x^3-4*f(x)^2*x^2+6*f(x)*x^3+f(x)^2*x-7*f(x)*x^2-5*x^2+f(x)+1 ogf] A201695 11.1451 [-(x+1)*(9*x^3-43*x^2+106*x+18)/(x-1)/(9*x^4-35*x^3+56*x^2+3*x+3) lgdogf] A201695 7.27274 [-(-9*x^4+34*x^3-63*x^2-124*x-18)/(-9*x^5+44*x^4-91*x^3+53*x^2+3) lgdogf] A201695 7.49767 [-(9*x^4-35*x^3+56*x^2+3*x+3)/(x-1)^5 ogf] A201720 17.5906 [1/2*(-6+8*x+x^3-4*x^2)/(x-2)/(x-1)^2 lgdegf] A201720 8.79992 [-(-x^3+4*x^2-8*x+6)/(2*x^3-8*x^2+10*x-4) lgdegf] A201722 10.6004 [-(x^4+x^3+2*x^2-2*x+4)/(x-1)^3 ogf] A201722 16.3435 [(-10-4*x^3+x^4-5*x^2)/(x-1)/(x^4+x^3+2*x^2-2*x+4) lgdogf] A201722 5.51508 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=4,a(1)=10,a(2)=20,a(3)=35,a(4)=56} ogf] A201722 6.2787 [(172*f(x)-63)*(f(x)*x^3+x^4-3*f(x)*x^2+x^3+3*f(x)*x+2*x^2-f(x)-2*x+4) ogf] A201722 9.60273 [-(x^4-4*x^3-5*x^2-10)/(-x^5-x^3+4*x^2-6*x+4) lgdogf] A201812 15.6473 [-(-61+3*x+x^3-39*x^2)/(x-1)/(x^3-21*x^2+15*x-19) lgdogf] A201812 3.84681 [{(219*n^2+1087*n+1298)*a(n+1)+(-122*n^2+840*n+3754)*a(n+2)+(-97*n^2-979*n-2064)*a(n+3),a(0)=19,a(1)=61,a(2)=151} ogf] A201812 5.20758 [(2188*f(x)+14795)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-21*x^2+f(x)+15*x-19) ogf] A201812 8.90134 [-(-x^3+39*x^2-3*x+61)/(-x^4+22*x^3-36*x^2+34*x-19) lgdogf] A201812 9.56894 [-(x^3-21*x^2+15*x-19)/(x-1)^4 ogf] A201813 13.5826 [-(-221-157*x+x^3-103*x^2)/(x-1)/(x^3-53*x^2-17*x-51) lgdogf] A201813 4.8341 [(12044*f(x)+540039)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-53*x^2+f(x)-17*x-51) ogf] A201813 8.00312 [-(-x^3+103*x^2+157*x+221)/(-x^4+54*x^3-36*x^2+34*x-51) lgdogf] A201813 9.00351 [-(x^3-53*x^2-17*x-51)/(x-1)^4 ogf] A201814 5.47467 [-(x^5-145*x^4-150*x^3-730*x^2-155*x-141)/(x-1)^6 ogf] A201814 7.19646 [-(-1001-2235*x-1030*x^3-285*x^4-3370*x^2+x^5)/(x-1)/(x^5-145*x^4-150*x^3-730*x^2-155*x-141) lgdogf] A201815 5.18658 [-(x^5-397*x^4-1782*x^3-4882*x^2-1787*x-393)/(x-1)^6 ogf] A201815 6.62094 [-(-4145-18699*x-6934*x^3-789*x^4-24874*x^2+x^5)/(x-1)/(x^5-397*x^4-1782*x^3-4882*x^2-1787*x-393) lgdogf] A201837 10.1343 [-(-4*x^3-6*x^2-2*x)/(-x^4-2*x^3-x^2-1) lgdogf] A201837 17.7969 [1/(x^4+2*x^3+x^2+1) ogf] A201837 22.2538 [-2*x*(x+1)*(2*x+1)/(1+x^2+2*x^3+x^4) lgdogf] A201837 7.37043 [(3*f(x)-5)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+f(x)-1) ogf] A201838 11.7769 [x*(x+1)/(x^4+2*x^3+x^2+1) ogf] A201838 15.4135 [-(-1+2*x+8*x^3+3*x^4+7*x^2)/(x+1)/(1+x^2+2*x^3+x^4) lgdogf] A201838 5.84056 [{a(n+4)+a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=-1} ogf] A201838 6.71392 [(3*f(x)+1)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2-x^2+f(x)-x) ogf] A201864 10.4655 [x^3*(x+1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A201864 12.7322 [-2*(-1-x+x^3+4*x^4-2*x^2+2*x^5)/(x-1)/(x+1)/(x^2+x+1)/(x^2+x-1) lgdogf] A201864 5.79745 [f(x)*(f(x)*x^5+f(x)*x^4-f(x)*x^3-x^4-f(x)*x^2-x^3-f(x)*x+f(x)) ogf] A201864 8.05845 [-(-4*x^5-8*x^4-2*x^3+4*x^2+2*x+2)/(-x^6-2*x^5+2*x^3+2*x^2-1) lgdogf] A201865 14.0951 [-(42*x-4)/(21*x^2-4*x-1) lgdogf] A201865 23.4919 [-1/(7*x+1)/(3*x-1) ogf] A201865 25.9427 [-2*(-2+21*x)/(7*x+1)/(3*x-1) lgdogf] A201865 8.38997 [(29*f(x)-21)*(21*f(x)*x^2-4*f(x)*x-f(x)+1) ogf] A201865 8.49105 [{a(n+2)+4*a(n+1)-21*a(n),a(0)=1,a(1)=-4} ogf] A201874 8.26314 [-(5+25*x+30*x^3+52*x^4+33*x^2+x^7+x^8+8*x^5+7*x^6)/(x-1)/(x^2+x+1)/(x^2+2*x+3)/(x^4-2*x^3+3*x^2+1) lgdogf] A201874 8.78123 [-(x^2+2*x+3)*(x^4-2*x^3+3*x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A201875 4.92851 [-(x^8-2*x^7-3*x^6-16*x^5-20*x^4-28*x^3-23*x^2-16*x-3)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A201883 11.7653 [-x^2/(-4*x^4+14*x^3-18*x^2+10*x-2) lgdegf] A201883 29.9157 [1/2*x^2/(2*x-1)/(x-1)^3 lgdegf] A201967 15.0190 [-2*(x+1)*(2*x^2-2*x-1)/(-3*x^2+1-2*x+x^4) lgdogf] A201967 16.9949 [1/(x^4-3*x^2-2*x+1) ogf] A201967 6.28813 [(25*f(x)+2)*(f(x)*x^4-3*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A201967 9.82520 [-(-4*x^3+6*x+2)/(-x^4+3*x^2+2*x-1) lgdogf] A201969 13.9828 [-x^2-f(x)+f(x)^2-f(x)^3*x ogf] A201975 10.0775 [(7*x^3-24*x^2+14*x+4)/(x-1)^4 ogf] A201975 15.6235 [-(30-6*x+7*x^3-27*x^2)/(x-1)/(7*x^3-24*x^2+14*x+4) lgdogf] A201975 3.80921 [{(2215*n^2+12888*n+16916)*a(n+1)+(-4613*n^2-25631*n-34340)*a(n+2)+(2398*n^2+12194*n+15000)*a(n+3),a(0)=4,a(1)=30,a(2)=72} ogf] A201975 5.41581 [(812*f(x)+7498077)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+24*x^2+f(x)-14*x-4) ogf] A201975 9.36616 [-(7*x^3-27*x^2-6*x+30)/(7*x^4-31*x^3+38*x^2-10*x-4) lgdogf] A201976 4.87560 [-4*(48*x^6-41*x^5-69*x^4+257*x^3+238*x^2+11*x+1)/(x-1)^7 ogf] A201996 10.9269 [-5*f(x)^2*x+2*f(x)^2+4*f(x)*x-2*f(x)-x egf] A201996 14.0265 [-(3*I*x-I+(x^2+2*x-1)^(1/2))/(5*x-2)/x/(x^2+2*x-1)^(1/2) lgdegf] A201996 4.69214 [{-5*a(n)*n+(-8*n-15)*a(n+1)+(9*n+21)*a(n+2)+(-2*n-6)*a(n+3),a(0)=1,a(1)=1,a(2)=2} egf] A201996 8.48579 [-I/x*(-1+3*x)/(x^2+2*x-1)^(1/2)/(5*x-2)-1/x/(5*x-2) lgdegf] A202012 11.9666 [(x^2-x+1)/(x^3+x^2+x-1)/(x-1) ogf] A202012 6.6761 [(32*f(x)+41)*(f(x)*x^4-2*f(x)*x-x^2+f(x)+x-1) ogf] A202012 9.84710 [-(-1-2*x+4*x^3-3*x^4+2*x^2+2*x^5)/(x-1)/(x^2-x+1)/(x^3+x^2+x-1) lgdogf] A202018 11.1423 [-(-41*x^2+78*x-43)/(-41*x^3+121*x^2-121*x+41) lgdogf] A202018 12.7092 [-(41*x^2-80*x+41)/(x-1)^3 ogf] A202018 19.9456 [-(43-78*x+41*x^2)/(x-1)/(41*x^2-80*x+41) lgdogf] A202018 6.89314 [(31*f(x)+2964)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+41*x^2-f(x)-80*x+41) ogf] A202018 7.07296 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=41,a(1)=43,a(2)=47} ogf] A202020 4.7958 [-f(x)^2*x^4+4*f(x)^2*x^3-2*f(x)^2*x^2+2*f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A202048 4.76029 [-12*(12*x^6-83*x^5+245*x^4-398*x^3+380*x^2-207*x+53)/(x-1)^7 ogf] A202049 3.89055 [-14*(14*x^7-111*x^6+384*x^5-755*x^4+918*x^3-699*x^2+316*x-69)/(x-1)^8 ogf] A202050 3.41696 [-16*(16*x^8-143*x^7+567*x^6-1307*x^5+1925*x^4-1869*x^3+1183*x^2-457*x+87)/(x-1)^9 ogf] A202065 3.81659 [{(4*n^3+24*n^2+47*n+30)*a(n+1)+(4*n^2+18*n+20)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A202066 6.27285 [{(-144*n^3-792*n^2-1436*n-858)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=35} ogf] A202077 5.11386 [-2*(x^6+12*x^5+22*x^4+45*x^3+22*x^2+12*x+1)/(x+1)^4/(x-1)^5 ogf] A202079 4.41618 [4*(x+1)*(3*x^4+104*x^3+390*x^2+104*x+3)/(x-1)^8 ogf] A202079 6.90512 [-(131+1737*x+2898*x^3+443*x^4+4446*x^2+9*x^5)/(x-1)/(x+1)/(3*x^4+104*x^3+390*x^2+104*x+3) lgdogf] A202107 4.80670 [-2*(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1)/(x-1)^9 ogf] A202109 4.23728 [3*(x^6+54*x^5+405*x^4+760*x^3+405*x^2+54*x+1)/(x-1)^10 ogf] A202109 5.24475 [{(n^3+15*n^2+75*n+125)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=3,a(1)=192} ogf] A202117 6.99101 [-(2*x^7+2*x^6+6*x^5+2*x^4+3*x^3-2*x^2-x-3)/(x^3+x-1)/(x-1) ogf] A202125 4.42038 [-(x^8-2*x^7+19*x^6+70*x^5+154*x^4+178*x^3+151*x^2+70*x+19)/(x^2+x+1)^2/(x-1)^5 ogf] A202141 11.7742 [-(-34*x^2-42*x-2)/(-34*x^3+47*x^2-18*x+5) lgdogf] A202141 12.8955 [-(34*x^2-13*x+5)/(x-1)^3 ogf] A202141 19.9344 [-2*(1+21*x+17*x^2)/(x-1)/(34*x^2-13*x+5) lgdogf] A202141 6.29782 [-(1002508*f(x)-9104723)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+34*x^2-f(x)-13*x+5) ogf] A202141 7.18955 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=2,a(2)=25} ogf] A202155 12.0270 [18*(x+1)/(x^2-1298*x+1) ogf] A202155 15.9840 [-(-1299+2*x+x^2)/(x+1)/(x^2-1298*x+1) lgdogf] A202155 6.07422 [(843050*f(x)+11709)*(f(x)*x^2-1298*f(x)*x+f(x)-18*x-18) ogf] A202155 6.68164 [{-a(n+2)+1298*a(n+1)-a(n),a(0)=18,a(1)=23382} ogf] A202156 12.1139 [-5*(x-1)/(x^2-1298*x+1) ogf] A202156 15.8758 [-(1297-2*x+x^2)/(x-1)/(x^2-1298*x+1) lgdogf] A202156 5.75711 [-(1683504*f(x)-6475)*(f(x)*x^2-1298*f(x)*x+f(x)+5*x-5) ogf] A202156 6.60760 [{a(n+2)-1298*a(n+1)+a(n),a(0)=5,a(1)=6485} ogf] A202174 2.76893 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+111111109*x+1 ogf] A202195 13.4219 [-2*(-20+25*x+3*x^3-14*x^2)/(x-1)/(6*x^3-23*x^2+32*x-18) lgdogf] A202195 4.04591 [{(4*n^2+32*n+48)*a(n+1)+(-n^2+13*n+50)*a(n+2)+(-3*n^2-24*n-45)*a(n+3),a(0)=108,a(1)=240,a(2)=450} ogf] A202195 4.95091 [(3951*f(x)+235739)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+36*x^3-4*f(x)*x-138*x^2+f(x)+192*x-108) ogf] A202195 8.64987 [-(-6*x^3+28*x^2-50*x+40)/(-6*x^4+29*x^3-55*x^2+50*x-18) lgdogf] A202195 8.95880 [-6*(6*x^3-23*x^2+32*x-18)/(x-1)^4 ogf] A202196 10.6011 [-2*(40-65*x-23*x^3+4*x^4+54*x^2)/(x-1)/(8*x^4-39*x^3+75*x^2-70*x+30) lgdogf] A202196 3.97155 [{(2*n^2+18*n+28)*a(n+1)+(-n^2+2*n+16)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=240,a(1)=640,a(2)=1400} ogf] A202196 7.06478 [-8*(8*x^4-39*x^3+75*x^2-70*x+30)/(x-1)^5 ogf] A202197 3.76135 [{(8*n^2+80*n+128)*a(n+1)+(-5*n^2-n+46)*a(n+2)+(-3*n^2-24*n-45)*a(n+3),a(0)=450,a(1)=1400,a(2)=3500} ogf] A202197 5.56798 [-10*(10*x^5-59*x^4+144*x^3-185*x^2+130*x-45)/(x-1)^6 ogf] A202197 7.79398 [-2*(-70+140*x+98*x^3-34*x^4-154*x^2+5*x^5)/(x-1)/(10*x^5-59*x^4+144*x^3-185*x^2+130*x-45) lgdogf] A202198 3.60808 [{(10*n^2+110*n+180)*a(n+1)+(-7*n^2-8*n+44)*a(n+2)+(-3*n^2-24*n-45)*a(n+3),a(0)=756,a(1)=2688,a(2)=7560} ogf] A202198 4.66350 [-12*(12*x^6-83*x^5+245*x^4-399*x^3+385*x^2-217*x+63)/(x-1)^7 ogf] A202199 3.50995 [{(4*n^2+48*n+80)*a(n+1)+(-3*n^2-5*n+14)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1176,a(1)=4704,a(2)=14700} ogf] A202199 3.85889 [-14*(14*x^7-111*x^6+384*x^5-756*x^4+924*x^3-714*x^2+336*x-84)/(x-1)^8 ogf] A202200 3.35732 [-16*(16*x^8-143*x^7+567*x^6-1308*x^5+1932*x^4-1890*x^3+1218*x^2-492*x+108)/(x-1)^9 ogf] A202200 3.37463 [{(14*n^2+182*n+308)*a(n+1)+(-11*n^2-22*n+40)*a(n+2)+(-3*n^2-24*n-45)*a(n+3),a(0)=1728,a(1)=7680,a(2)=26400} ogf] A202201 3.31236 [{(16*n^2+224*n+384)*a(n+1)+(-13*n^2-29*n+38)*a(n+2)+(-3*n^2-24*n-45)*a(n+3),a(0)=2430,a(1)=11880,a(2)=44550} ogf] A202206 10.0224 [-(3*x^2-6*x-2)/(3*x^3-4*x+1) lgdogf] A202206 12.4723 [(x-1)/(3*x^2+3*x-1) ogf] A202206 15.6775 [-(-2-6*x+3*x^2)/(x-1)/(3*x^2+3*x-1) lgdogf] A202206 6.45119 [(93*f(x)-77)*(3*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A202206 6.84455 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=1,a(1)=2} ogf] A202207 12.1262 [(x-1)/(x^3-x^2+3*x-1) ogf] A202207 15.3538 [-2*(-1+x+x^3-2*x^2)/(x-1)/(x^3-x^2+3*x-1) lgdogf] A202207 5.73829 [{-a(n+3)+3*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A202207 6.12084 [(14*f(x)-11)*(f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A202207 8.03361 [-(-2*x^3+4*x^2-2*x+2)/(-x^4+2*x^3-4*x^2+4*x-1) lgdogf] A202253 11.4014 [-(9+16*x+18*x^3+6*x^4+22*x^2+x^6)/(x-1)/(x^2+x+1)/(x^4-x^3+2*x^2+3*x+3) lgdogf] A202253 8.87168 [-(x^4-x^3+2*x^2+3*x+3)/(x^2+x+1)/(x-1)^3 ogf] A202254 10.5327 [-(-31-69*x-14*x^3-5*x^4-58*x^2+x^5)/(x-1)/(x+1)/(x^4-4*x^3-2*x^2-10*x-7) lgdogf] A202254 8.22352 [-(x^4-4*x^3-2*x^2-10*x-7)/(x+1)/(x-1)^4 ogf] A202270 4.25613 [(100*x^2+10*x+1)*(1000000*x^6+1000*x^3+1)/(10*x-1)/(100000000*x^9-1) ogf] A202270 6.12286 [-(5*f(x)*x-11*f(x)+215*x+11)*(100*f(x)*x^2-20*f(x)*x+f(x)-1)^2 ogf] A202274 13.0625 [(3072*x^13+18*x^6+7*x^5-1)/(2*x-1) ogf] A202274 9.58484 [(2-39936*x^12+73728*x^13-35*x^4-52*x^5+180*x^6)/(-1+2*x)/(3072*x^13+18*x^6+7*x^5-1) lgdogf] A202299 10.8686 [-(2*x-34)/(x^2-34*x+1) lgdogf] A202299 14.3007 [4*x/(x^2-34*x+1) ogf] A202299 23.2656 [-2*(-17+x)/(x^2+1-34*x) lgdogf] A202299 6.62717 [{a(n+2)-34*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A202299 9.05712 [-f(x)*x^2+34*f(x)*x-f(x)+4*x ogf] A202310 3.64363 [-(72*x^8-290*x^7-213*x^6+1184*x^5-45*x^4-1225*x^3+314*x^2+315*x-108)/(x-1)/(2*x-1)/(x+1)/(x^2-4*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A202330 10.5276 [-(82-168*x-70*x^3+13*x^4+153*x^2)/(x-1)/(13*x^4-61*x^3+112*x^2-98*x+36) lgdogf] A202330 7.54360 [-(13*x^4-61*x^3+112*x^2-98*x+36)/(x-1)^5 ogf] A202331 5.86605 [-(15*x^5-86*x^4+203*x^3-250*x^2+165*x-49)/(x-1)^6 ogf] A202331 7.73117 [-(-129+325*x+265*x^3-97*x^4-391*x^2+15*x^5)/(x-1)/(15*x^5-86*x^4+203*x^3-250*x^2+165*x-49) lgdogf] A202332 5.26006 [-(17*x^6-115*x^5+331*x^4-523*x^3+485*x^2-257*x+64)/(x-1)^7 ogf] A202333 4.47860 [-(19*x^7-148*x^6+502*x^5-966*x^4+1148*x^3-854*x^2+378*x-81)/(x-1)^8 ogf] A202334 3.69050 [-(21*x^8-185*x^7+722*x^6-1636*x^5+2366*x^4-2254*x^3+1400*x^2-532*x+100)/(x-1)^9 ogf] A202337 10.4162 [(f(x)+3)*(-6*x^3+3*f(x)*x-f(x)-x+1) ogf] A202337 17.3603 [(6*x^3+x-1)/(3*x-1) ogf] A202337 20.2038 [2*(1+18*x^3-9*x^2)/(3*x-1)/(6*x^3+x-1) lgdogf] A202337 8.05375 [{a(n+4)-3*a(n+3),a(0)=1,a(1)=2,a(2)=6,a(3)=12} ogf] A202337 9.88878 [-(36*x^3-18*x^2+2)/(-18*x^4+6*x^3-3*x^2+4*x-1) lgdogf] A202349 13.6793 [-(3*x^2+1)/(2*x-1)/(x^2-x+1) ogf] A202349 6.75984 [-(4+24*x^3-4*x^4-29*x^2-12*x^7+3*x^8+10*x^5+8*x^6)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^3-2*x^2-1) lgdogf] A202349 6.9618 [-(f(x)-28)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+1) ogf] A202349 6.96180 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A202349 9.17320 [-(-6*x^4+3*x^2-3)/(-6*x^5+9*x^4-11*x^3+6*x^2-3*x+1) lgdogf] A202391 10.0383 [-(-39+72*x-8*x^3+x^4+6*x^2)/(x-5)/(x-1)/(x+1)/(x^2-6*x+1) lgdogf] A202391 4.78826 [-(22307*f(x)-4255)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-x^2-f(x)+4*x+5) ogf] A202391 5.07971 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=5,a(1)=39,a(2)=237} ogf] A202391 9.57651 [(x+1)*(x-5)/(x-1)/(x^2-6*x+1) ogf] A202400 3.68903 [-(81*x^7-477*x^6+433*x^5-2381*x^4-269*x^3+2401*x^2-245*x+441)/(x-1)/(x+1)/(x^2-6*x+1)/(x^4+6*x^2+1) ogf] A202410 12.4300 [-(3*x-2)/(2*x^3-5*x^2+4*x-1) lgdegf] A202410 27.8576 [-(-2+3*x)/(-1+2*x)/(x-1)^2 lgdegf] A202410 3.26798 [{(-4*n^3-12*n^2-8*n)*a(n)+(-n^3+n^2+4*n-4)*a(n+1)+(2*n^2+6*n+2)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=-2,a(2)=-1} ogf] A202414 4.092 [(2101191*f(x)-8377307)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+13*x^3+2*f(x)*x+43*x^2-f(x)+26*x+34) ogf] A202414 6.45646 [-(94+154*x+240*x^3+194*x^4+285*x^2+86*x^5+13*x^6)/(13*x^3+43*x^2+26*x+34)/(x^4+3*x^3+x^2+2*x-1) lgdogf] A202414 7.72933 [-(13*x^3+43*x^2+26*x+34)/(x^4+3*x^3+x^2+2*x-1) ogf] A202428 5.39622 [-6*(6*x^5-11*x^4-7*x^3+33*x^2+47*x+18)/(x^6-2*x^5-x^4+6*x^3+7*x^2+x-1) ogf] A202440 12.7599 [(-69+121*x+17*x^3-77*x^2)/(x-1)/(2*x^4-25*x^3+76*x^2-91*x+40) lgdogf] A202440 5.01968 [(1076*f(x)+22277)*(f(x)*x^4-4*f(x)*x^3-4*x^4+6*f(x)*x^2+50*x^3-4*f(x)*x-152*x^2+f(x)+182*x-80) ogf] A202440 7.85256 [-(-17*x^3+77*x^2-121*x+69)/(2*x^5-27*x^4+101*x^3-167*x^2+131*x-40) lgdogf] A202440 8.71548 [2*(2*x^4-25*x^3+76*x^2-91*x+40)/(x-1)^4 ogf] A202441 6.94449 [2*(7*x^5-48*x^4+87*x^3-13*x^2-94*x+69)/(x+1)/(x-1)^4 ogf] A202441 8.41959 [(-113-37*x-30*x^3-65*x^4+154*x^2+27*x^5)/(x-1)/(x+1)/(7*x^5-48*x^4+87*x^3-13*x^2-94*x+69) lgdogf] A202442 5.11682 [2*(15*x^7-84*x^6+122*x^5+74*x^4-285*x^3+114*x^2+148*x-112)/(x+1)^2/(x-1)^5 ogf] A202443 4.98489 [2*(28*x^7-137*x^6+176*x^5+133*x^4-424*x^3+141*x^2+220*x-169)/(x+1)^2/(x-1)^5 ogf] A202444 4.45009 [2*(46*x^9-207*x^8+190*x^7+425*x^6-842*x^5-35*x^4+914*x^3-393*x^2-308*x+242)/(x+1)^3/(x-1)^6 ogf] A202445 4.15263 [2*(71*x^9-300*x^8+233*x^7+651*x^6-1145*x^5-85*x^4+1259*x^3-471*x^2-418*x+333)/(x+1)^3/(x-1)^6 ogf] A202455 7.02006 [-(427*x^4-1895*x^3+3196*x^2-2451*x+729)/(x-1)^5 ogf] A202455 8.75367 [-(1194-3412*x-2082*x^3+427*x^4+3903*x^2)/(x-1)/(427*x^4-1895*x^3+3196*x^2-2451*x+729) lgdogf] A202456 5.69670 [-(517*x^5-2838*x^4+6297*x^3-7106*x^2+4124*x-1000)/(x-1)^6 ogf] A202457 4.47216 [-(613*x^6-4003*x^5+10983*x^4-16277*x^3+13841*x^2-6482*x+1331)/(x-1)^7 ogf] A202458 3.96263 [-(715*x^7-5408*x^6+17650*x^5-32318*x^4+36022*x^3-24626*x^2+9687*x-1728)/(x-1)^8 ogf] A202459 3.50618 [-(823*x^8-7071*x^7+26730*x^6-58194*x^5+80058*x^4-71610*x^3+40992*x^2-13919*x+2197)/(x-1)^9 ogf] A202462 7.02889 [(x^3-2*x^2-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x-1)^2 ogf] A202464 4.60051 [-(49*x^5-91*x^4+281*x^3-841*x^2-513*x-265)/(x^6-2*x^5+6*x^4-18*x^3-8*x^2-4*x+1) ogf] A202481 11.6608 [-(10+10*x+2*x^3-7*x^2)/(-1+2*x)/(x+1)/(x^3-2*x^2+x+1) lgdogf] A202481 3.94312 [(2304126*f(x)+3548087)*(16*f(x)*x^4-32*f(x)*x^3-x^4+24*f(x)*x^2+x^3-8*f(x)*x+x^2+f(x)-2*x-1) ogf] A202481 7.16932 [(x+1)*(x^3-2*x^2+x+1)/(2*x-1)^4 ogf] A202481 7.33605 [-(2*x^3-7*x^2+10*x+10)/(2*x^5-3*x^4-x^3+5*x^2-1) lgdogf] A202482 22.7176 [-x*(1+7*x^2-5*x)/(x-1)^3 revogf] A202482 4.93103 [-f(x)^3*x^3-7*f(x)^3*x^2+3*f(x)^2*x^2+5*f(x)^2*x-3*f(x)*x-f(x)+1 ogf] A202482 8.19421 [-(-7*x^3+5*x^2-x)/(-x^3+3*x^2-3*x+1) revogf] A202493 5.53148 [(x^5-x^4-2*x^3+5*x^2-5*x-1)/(2*x-1)^5 ogf] A202493 8.82761 [-3*(-5-10*x-4*x^3+x^4+8*x^2)/(-1+2*x)/(x^5-x^4-2*x^3+5*x^2-5*x-1) lgdogf] A202525 3.97774 [-(40*x^9+103*x^8+13*x^7-126*x^6-344*x^5-138*x^4-43*x^3+219*x^2+112*x+86)/(x^3-x^2-1)/(x^7+3*x^6+2*x^5-4*x^3-x^2-x+1) ogf] A202526 4.74609 [-(4*x^8+11*x^7+97*x^6+46*x^5-203*x^4-332*x^3+48*x^2+122*x+198)/(x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A202527 5.08632 [-(20*x^7+218*x^6+114*x^5-432*x^4-691*x^3+95*x^2+250*x+417)/(x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A202528 4.75513 [-(36*x^7+448*x^6+211*x^5-879*x^4-1372*x^3+205*x^2+452*x+890)/(x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A202529 4.88391 [-(64*x^7+976*x^6+510*x^5-1895*x^4-3063*x^3+438*x^2+1021*x+1940)/(x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A202530 4.60173 [-(116*x^7+2105*x^6+1173*x^5-4048*x^4-6705*x^3+950*x^2+2216*x+4184)/(x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A202531 4.66988 [-(211*x^7+4484*x^6+2511*x^5-8546*x^4-14248*x^3+2048*x^2+4537*x+8994)/(x-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A202545 3.16550 [-(2700*x^6-5320*x^5+3983*x^4-1484*x^3+290*x^2-28*x+1)/(-1+15*x)/(5*x-1)^3/(2*x-1)^3 ogf] A202563 4.44534 [{a(n+3)-9603*a(n+2)+9603*a(n+1)-a(n),a(0)=1,a(1)=12376,a(2)=118837251} ogf] A202563 8.02631 [-(126*x^2+2773*x+1)/(x-1)/(x^2-9602*x+1) ogf] A202564 4.69806 [-(491708144*f(x)+45510087)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-9*x^2-f(x)-8*x+1) ogf] A202564 5.25545 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=1,a(1)=91,a(2)=8901} ogf] A202564 5.63766 [-(9*x^4+16*x^3-1686*x^2+216*x-91)/(9*x^5-883*x^4+98*x^3+882*x^2-107*x+1) lgdogf] A202564 9.09420 [-(-91+216*x+16*x^3+9*x^4-1686*x^2)/(x-1)/(9*x-1)/(x+1)/(x^2-98*x+1) lgdogf] A202564 9.84354 [(x+1)*(9*x-1)/(x-1)/(x^2-98*x+1) ogf] A202565 4.66273 [(29872207248*f(x)-1542119375)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+6*x^2-f(x)-43*x+1) ogf] A202565 5.25545 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=1,a(1)=56,a(2)=5451} ogf] A202565 5.48799 [-(-6*x^4+86*x^3-3666*x^2+186*x-56)/(-6*x^5+637*x^4-4852*x^3+4362*x^2-142*x+1) lgdogf] A202565 8.96046 [-2*(28-93*x-43*x^3+3*x^4+1833*x^2)/(x-1)/(6*x^2-43*x+1)/(x^2-98*x+1) lgdogf] A202565 9.68973 [-(6*x^2-43*x+1)/(x-1)/(x^2-98*x+1) ogf] A202584 3.29154 [-(36*x^9+23*x^8-210*x^7-192*x^6+343*x^5+510*x^4-102*x^3-456*x^2-28*x+96)/(x-1)/(x^2+x-1)/(x^2-x-1)/(x^5+x^4-2*x^3-4*x^2-2*x+1) ogf] A202594 3.91163 [-(371156*f(x)+3577793)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+36*x^3-2*f(x)*x-66*x^2+f(x)-258*x-126) ogf] A202594 6.44531 [-(85+316*x+112*x^3-65*x^4+387*x^2-22*x^5+6*x^6)/(6*x^3-11*x^2-43*x-21)/(x^4-2*x^3-7*x^2-2*x+1) lgdogf] A202594 7.44624 [-6*(6*x^3-11*x^2-43*x-21)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A202595 3.67357 [-10*(10*x^7+x^6-179*x^5+62*x^4+423*x^3-64*x^2-213*x-51)/(x^8-18*x^6+8*x^5+43*x^4-12*x^3-22*x^2-2*x+1) ogf] A202604 9.58302 [-(8*x^7+4*x^6+4*x^5+4*x^4+2*x^3+x^2+1)/(2*x-1) ogf] A202606 4.60768 [-(3693602*f(x)-4964121)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+955*x^2-f(x)-109*x+1) ogf] A202606 5.29312 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=2,a(2)=67} ogf] A202606 7.40445 [-(2-310*x-218000*x^3+955000*x^4+17985*x^2)/(x-1)/(100*x-1)/(10*x-1)/(955*x^2-109*x+1) lgdogf] A202606 8.77353 [-(955*x^2-109*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A202625 7.32653 [x*(8*x^12+x^10-32*x^9+9*x^8+48*x^6+90*x^5-3*x^4-32*x^3+63*x^2+2*x+8)/(x-1)^4/(x^2+x+1)^4 ogf] A202628 6.54215 [5*(1536*x^5+4000*x^4-1432*x^3+396*x^2-x+1)/(x-1)^2/(4*x+1)^2/(16*x-1)^2 ogf] A202637 10.0638 [(x+1)*(2*x^2+3*x+2)/(x^4-16*x^2+1) ogf] A202637 5.87799 [-(27540*f(x)-7811)*(f(x)*x^4-16*f(x)*x^2-2*x^3-5*x^2+f(x)-5*x-2) ogf] A202637 8.35257 [-(-5-74*x+8*x^3+47*x^4-86*x^2+10*x^5+2*x^6)/(x+1)/(2*x^2+3*x+2)/(x^4-16*x^2+1) lgdogf] A202638 5.60341 [-(192780*f(x)+8059)*(f(x)*x^4-16*f(x)*x^2+x^3+2*x^2+f(x)-2*x-1) ogf] A202638 8.69550 [-(2+28*x-4*x^3+10*x^4+29*x^2+4*x^5+x^6)/(x-1)/(x^2+3*x+1)/(x^4-16*x^2+1) lgdogf] A202638 9.67861 [-(x-1)*(x^2+3*x+1)/(x^4-16*x^2+1) ogf] A202640 4.11517 [2*(4*x^8-31*x^7-2*x^6+59*x^5+4*x^4-48*x^3-40*x^2+20*x+33)/(x-1)/(x+1)/(2*x^6-x^5-3*x^4+x^3+2*x^2+2*x-1) ogf] A202654 14.1780 [-4*(13+81*x+17*x^3+99*x^2)/(x-1)/(17*x^3+69*x^2+31*x+3) lgdogf] A202654 4.05527 [{(-859*n^2-4670*n-6279)*a(n+1)+(638*n^2-2292*n-4524)*a(n+2)+(221*n^2+482*n+261)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A202654 6.78209 [-x^2*(17*x^3+69*x^2+31*x+3)/(x-1)^7 ogf] A202654 8.74137 [-(68*x^3+396*x^2+324*x+52)/(17*x^4+52*x^3-38*x^2-28*x-3) lgdogf] A202655 4.15122 [-x^3*(151*x^6+1022*x^5+2233*x^4+2132*x^3+1001*x^2+174*x+7)/(x+1)^2/(x-1)^9 ogf] A202689 5.66919 [{(-2*n^3-13*n^2-27*n-18)*a(n+1)+2*a(n+2),a(0)=1,a(1)=1} ogf] A202730 5.32493 [{-a(n+4)+7*a(n+3)-10*a(n+2),a(0)=1,a(1)=2,a(2)=2,a(3)=14} ogf] A202730 5.82729 [(95*f(x)-143)*(10*f(x)*x^2-20*x^3-7*f(x)*x+2*x^2+f(x)+5*x-1) ogf] A202730 8.52323 [2*(1-12*x-140*x^3+100*x^4+62*x^2)/(-1+2*x)/(5*x-1)/(20*x^3-2*x^2-5*x+1) lgdogf] A202730 9.80463 [(20*x^3-2*x^2-5*x+1)/(5*x-1)/(2*x-1) ogf] A202736 3.62248 [{(8*n+24)*a(n+1)+(-4*n-16)*a(n+2)+(-2*n-8)*a(n+3)+(n+5)*a(n+4),a(0)=2,a(1)=2,a(2)=8,a(3)=10} ogf] A202736 6.37941 [-8*f(x)^2*x^4+4*f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x-8*f(x)*x^2+2*f(x)-4 ogf] A202752 12.0821 [-2*(2+x-12*x^3+3*x^4+13*x^2)/(x-1)/(2*x^4-8*x^3+10*x^2-3*x+1) lgdogf] A202752 6.58873 [-(2*x^4-8*x^3+10*x^2-3*x+1)/(x-1)^7 ogf] A202752 7.43678 [-(-6*x^4+24*x^3-26*x^2-2*x-4)/(-2*x^5+10*x^4-18*x^3+13*x^2-4*x+1) lgdogf] A202785 5.97428 [-(x^2-2*x+7)*(x^3-4*x^2-x-2)/(x-1)^6 ogf] A202785 9.75997 [-(-87-71*x+18*x^3-7*x^4-70*x^2+x^5)/(x-1)/(x^2-2*x+7)/(x^3-4*x^2-x-2) lgdogf] A202789 10.7644 [-2*(x+1)*(9*x^3+3*x^2-2*x+3)/(6*x^3-2*x^2+4*x-1)/(3*x^2+2*x+1) lgdogf] A202789 11.1492 [-2*(3*x^2+2*x+1)/(6*x^3-2*x^2+4*x-1) ogf] A202789 5.5293 [-(14597*f(x)+22839)*(6*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+6*x^2-f(x)+4*x+2) ogf] A202789 5.96582 [{-a(n+3)+4*a(n+2)-2*a(n+1)+6*a(n),a(0)=2,a(1)=12,a(2)=50} ogf] A202789 6.80103 [-(-18*x^4-24*x^3-2*x^2-2*x-6)/(-18*x^5-6*x^4-14*x^3-3*x^2-2*x+1) lgdogf] A202790 3.46712 [(193326169376429*f(x)-58852779358704)*(16*f(x)*x^4+29*f(x)*x^3+2*f(x)*x^2+16*x^3+7*f(x)*x+40*x^2-f(x)+22*x+4) ogf] A202790 7.14566 [-2*(8*x^3+20*x^2+11*x+2)/(16*x^4+29*x^3+2*x^2+7*x-1) ogf] A202796 10.5761 [-2*(2*x^2+2*x+1)/(4*x^3+x^2+3*x-1) ogf] A202796 10.7192 [-(5+6*x+16*x^3+8*x^4+8*x^2)/(2*x^2+2*x+1)/(4*x^3+x^2+3*x-1) lgdogf] A202796 5.33178 [-(1241*f(x)+3044)*(4*f(x)*x^3+f(x)*x^2+3*f(x)*x+4*x^2-f(x)+4*x+2) ogf] A202796 5.65916 [{a(n+3)-3*a(n+2)-a(n+1)-4*a(n),a(0)=2,a(1)=10,a(2)=36} ogf] A202796 6.51661 [-(-8*x^4-16*x^3-8*x^2-6*x-5)/(-8*x^5-10*x^4-12*x^3-5*x^2-x+1) lgdogf] A202797 4.33648 [-2*(8*x^7+16*x^6-7*x^5-20*x^4-5*x^2-4*x-2)/(16*x^8+22*x^7-24*x^6-25*x^5+3*x^4-19*x^3+3*x^2-7*x+1) ogf] A202803 14.1727 [-2*x*(2*x+3)/(x-1)^3 ogf] A202803 16.4866 [-(4*x+11)/(2*x^2+x-3) lgdogf] A202803 34.6242 [-(11+4*x)/(2*x+3)/(x-1) lgdogf] A202803 6.90464 [-(2025*f(x)-7448)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+6*x) ogf] A202803 7.21288 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=22} ogf] A202804 13.9796 [-2*x*(x+5)/(x-1)^3 ogf] A202804 16.5473 [-(2*x+16)/(x^2+4*x-5) lgdogf] A202804 39.9699 [-2*(x+8)/(x+5)/(x-1) lgdogf] A202804 7.0506 [(5454*f(x)-31031)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+10*x) ogf] A202804 7.17539 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=32} ogf] A202807 5.99808 [(x^5-6*x^4+12*x^3-11*x^2+x-1)/(x-1)^7 ogf] A202807 9.91476 [-(-6-16*x+24*x^3-13*x^4-19*x^2+2*x^5)/(x-1)/(x^5-6*x^4+12*x^3-11*x^2+x-1) lgdogf] A202814 3.86123 [{(-24*n^2-120*n-144)*a(n+1)+(4*n^2+24*n+36)*a(n+2)+(6*n^2+42*n+74)*a(n+3)+(-n^2-8*n-16)*a(n+4),a(0)=1,a(1)=2,a(2)=8,a(3)=32} ogf] A202824 24.9288 [4*(x+1)^3 lgdegf] A202824 3.61661 [{(n+5)*a(n+5)-4*a(n+4)-12*a(n+3)-12*a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=14,a(3)=116/3,a(4)=281/3} egf] A202824 76.2247 [4*(x+1)^3 lgdegf] A202825 24.0813 [5*(x+1)^4 lgdegf] A202825 73.6110 [5*(x+1)^4 lgdegf] A202826 12.7404 [-3/(-x^4+4*x^3-6*x^2+4*x-1) lgdegf] A202826 72.3024 [3/(x-1)^4 lgdegf] A202827 11.0936 [-(x^2-5*x-4)/(x^3-x^2-x+1) lgdegf] A202827 25.8520 [-(-4-5*x+x^2)/(x+1)/(x-1)^2 lgdegf] A202827 3.36487 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^2-10*n-21)*a(n+2)+(-n-7)*a(n+3)+a(n+4),a(0)=1,a(1)=4,a(2)=25,a(3)=196} ogf] A202828 10.9624 [-(8*x^2-12*x-4)/(8*x^3-4*x^2-2*x+1) lgdegf] A202828 19.4660 [-4*(-1-3*x+2*x^2)/(2*x+1)/(-1+2*x)^2 lgdegf] A202828 3.32969 [{(8*n^3+56*n^2+128*n+96)*a(n+1)+(-4*n^2-32*n-60)*a(n+2)+(-2*n-10)*a(n+3)+a(n+4),a(0)=1,a(1)=4,a(2)=36,a(3)=400} ogf] A202829 10.0947 [-(27*x^2-21*x-4)/(27*x^3-9*x^2-3*x+1) lgdegf] A202829 18.9939 [-(-4-21*x+27*x^2)/(3*x+1)/(3*x-1)^2 lgdegf] A202829 3.20544 [{(n+4)*a(n+4)+(-13-3*n)*a(n+3)+(-39-9*n)*a(n+2)+(54+27*n)*a(n+1),a(0)=1,a(1)=4,a(2)=49/2,a(3)=338/3} egf] A202830 6.38303 [{(3*n+6)*a(n+1)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=7} ogf] A202831 17.3056 [-(-4-45*x+125*x^2)/(5*x+1)/(-1+5*x)^2 lgdegf] A202831 3.04504 [{(n+4)*a(n+4)+(-19-5*n)*a(n+3)+(-95-25*n)*a(n+2)+(250+125*n)*a(n+1),a(0)=1,a(1)=4,a(2)=81/2,a(3)=722/3} egf] A202831 9.30911 [-(125*x^2-45*x-4)/(125*x^3-25*x^2-5*x+1) lgdegf] A202832 6.37638 [{(-5*n-10)*a(n+1)+a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=9} ogf] A202833 22.1939 [-(-9-10*x+x^2)/(x+1)/(x-1)^2 lgdegf] A202833 3.14921 [{(-n-4)*a(n+4)+(12+n)*a(n+3)+(12+n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=9,a(2)=50,a(3)=216} egf] A202833 9.73832 [-(x^2-10*x-9)/(x^3-x^2-x+1) lgdegf] A202834 6.38366 [{(n+2)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=10} ogf] A202835 10.6277 [-(8*x^2-22*x-9)/(8*x^3-4*x^2-2*x+1) lgdegf] A202835 19.4068 [-(-9-22*x+8*x^2)/(2*x+1)/(-1+2*x)^2 lgdegf] A202835 3.27392 [{(n+4)*a(n+4)+(-15-2*n)*a(n+3)+(-30-4*n)*a(n+2)+(16+8*n)*a(n+1),a(0)=1,a(1)=9,a(2)=121/2,a(3)=675/2} egf] A202836 18.1798 [-(-9-52*x+64*x^2)/(4*x+1)/(-1+4*x)^2 lgdegf] A202836 3.09676 [{(n+4)*a(n+4)+(-21-4*n)*a(n+3)+(-84-16*n)*a(n+2)+(128+64*n)*a(n+1),a(0)=1,a(1)=9,a(2)=169/2,a(3)=1323/2} egf] A202836 9.79124 [-(64*x^2-52*x-9)/(64*x^3-16*x^2-4*x+1) lgdegf] A202837 5.79245 [{(4*n+8)*a(n+1)-a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=13} ogf] A202840 5.06402 [(5*f(x)+2)*(f(x)^2*x^4+f(x)*x^5-2*f(x)*x^4-f(x)*x^3+x^4+f(x)*x^2+f(x)*x-x^2-f(x)+1) ogf] A202850 7.63474 [-f(x)^2*x^2-f(x)*x^3+2*f(x)*x^2-f(x)*x-x^2+f(x)-1 ogf] A202865 14.7385 [-3*(x-7)*(x^2+4*x+1)/(x-1)/(x^3-3*x^2-15*x-1) lgdogf] A202865 3.56231 [{(-7*n^2-67*n-156)*a(n+1)+(26*n^2+228*n+478)*a(n+2)+(-19*n^2-101*n-132)*a(n+3),a(0)=2,a(1)=42,a(2)=228} ogf] A202865 6.97772 [-2*(x^3-3*x^2-15*x-1)/(x-1)^6 ogf] A202865 8.05761 [-(-3*x^3+9*x^2+81*x+21)/(-x^4+4*x^3+12*x^2-14*x-1) lgdogf] A202878 2.90003 [{(-n-4)*a(n+4)+(19+n)*a(n+3)+(19+n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=16,a(2)=289/2,a(3)=2888/3} egf] A202878 20.8094 [-(-16-17*x+x^2)/(1+x)/(x-1)^2 lgdegf] A202878 9.31526 [-(x^2-17*x-16)/(x^3-x^2-x+1) lgdegf] A202879 6.32939 [{(-n-2)*a(n+1)+a(n+3)-4*a(n+2),a(0)=1,a(1)=4,a(2)=17} ogf] A202882 10.0029 [-(3+8*x^4+3*x^2+x^8+5*x^6)/(x^5-x^4+4*x^3-3*x^2+3*x-1)/(x^4+3*x^2+1) lgdogf] A202882 4.47524 [-(f(x)-1)*(f(x)*x^5-f(x)*x^4+4*f(x)*x^3+x^4-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+1) ogf] A202882 8.56375 [-(x^4+3*x^2+1)/(x^5-x^4+4*x^3-3*x^2+3*x-1) ogf] A202883 6.32099 [-(36*x^4+51*x^3+49*x^2+17*x+3)/(36*x^5+25*x^4+46*x^3+2*x^2+6*x-1) ogf] A202900 4.82681 [(35*f(x)+61)*(4*f(x)*x^4-4*f(x)*x^3+4*f(x)*x^2+4*x^3-4*f(x)*x-2*x^2+f(x)-1) ogf] A202900 8.92630 [-(4*x^3-2*x^2-1)/(4*x^4-4*x^3+4*x^2-4*x+1) ogf] A202900 9.12268 [-4*(x-1)*(2*x^2-1)*(2*x^3+1)/(4*x^3-2*x^2-1)/(4*x^4-4*x^3+4*x^2-4*x+1) lgdogf] A202901 5.23033 [-(16*x^5-52*x^4+44*x^3+2*x^2-6*x-1)/(x-1)/(24*x^5-48*x^4+22*x^3-10*x^2+7*x-1) ogf] A202907 8.08162 [-(3*x+1)*(9*x^2+1)/(243*x^4-1)/(32*x^4+1) ogf] A202919 4.38875 [(x^6-10*x^5+30*x^4-36*x^3+35*x^2+1)/(x-1)^10 ogf] A202919 8.11984 [-2*(5+35*x-66*x^3+65*x^4+86*x^2-22*x^5+2*x^6)/(x-1)/(x^6-10*x^5+30*x^4-36*x^3+35*x^2+1) lgdogf] A202933 5.01439 [-(60719*x^5-320618*x^4+679679*x^3-723553*x^2+387270*x-83521)/(x-1)^6 ogf] A202934 4.01390 [-(71809*x^6-453495*x^5+1197415*x^4-1692959*x^3+1353236*x^2-580958*x+104976)/(x-1)^7 ogf] A202935 3.53116 [-(83919*x^7-616520*x^6+1947234*x^5-3428986*x^4+3638908*x^3-2330681*x^2+836423*x-130321)/(x-1)^8 ogf] A202946 4.42314 [{(27*n^2+81*n+60)*a(n+1)-a(n+2),a(0)=3,a(1)=18} ogf] A202948 3.69088 [{(-27*n^2-108*n-105)*a(n+1)+a(n+2),a(0)=-3,a(1)=-72} ogf] A202963 13.3809 [-2*(4*x^2+x+1)/(x+1)/(x-1)^3 ogf] A202963 17.4094 [-(3+14*x+8*x^3+11*x^2)/(x-1)/(1+x)/(4*x^2+x+1) lgdogf] A202963 6.91721 [(3188*f(x)-25917)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+8*x^2-f(x)+2*x+2) ogf] A202963 9.95405 [-(8*x^3+11*x^2+14*x+3)/(4*x^4+x^3-3*x^2-x-1) lgdogf] A202964 7.09878 [4*(5*x^4+5*x^3+9*x^2+4*x+1)/(x^2+x+1)/(x-1)^4 ogf] A202964 8.50044 [-(7+33*x+82*x^3+66*x^4+60*x^2+30*x^5+10*x^6)/(x-1)/(1+x+x^2)/(5*x^4+5*x^3+9*x^2+4*x+1) lgdogf] A202965 4.26219 [-2*(55*x^9+120*x^8+384*x^7+499*x^6+666*x^5+503*x^4+368*x^3+125*x^2+39*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A202973 8.18567 [-(2-4*x+2*x^3+4*x^4-x^2+6*x^7+x^8+8*x^6)/(x^4+3*x^3+x-1)/(x^5+2*x^4-2*x^3+2*x^2-3*x+1) lgdogf] A202973 8.44358 [-(x^4+3*x^3+x-1)/(x^5+2*x^4-2*x^3+2*x^2-3*x+1) ogf] A202974 3.62191 [-(2*x^9+8*x^8+4*x^7-10*x^6+x^5+4*x^4-16*x^3+4*x^2-2*x+1)/(2*x^10+6*x^9-2*x^8-9*x^7+8*x^6-3*x^5-14*x^4+16*x^3-11*x^2+6*x-1) ogf] A202982 4.37220 [-(25*x^6-29*x^5+48*x^4-52*x^3+10*x^2+1)/(25*x^7-44*x^6+84*x^5-102*x^4+60*x^3-28*x^2+9*x-1) ogf] A203016 12.0635 [-2*(1+2*x+8*x^3+4*x^4+3*x^2+x^7+3*x^5+2*x^6)/(x-1)/(1+x)/(x^2+1)/(2*x^4+x^3+x^2+x+1) lgdogf] A203016 13.3786 [3*(2*x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A203019 9.52575 [f(x)*x^2-f(x)^2-f(x)*x-x^2+f(x) ogf] A203041 4.19797 [-(73*x^7+313*x^6+89*x^5-490*x^4-872*x^3-313*x^2-219*x-209)/(x^8+4*x^7-7*x^5-10*x^4-x^3-2*x^2-2*x+1) ogf] A203050 3.77770 [-(x^10+9*x^8+28*x^6+35*x^4+15*x^2+1)/(x^11-x^10+10*x^9-9*x^8+36*x^7-28*x^6+56*x^5-35*x^4+35*x^3-15*x^2+6*x-1) ogf] A203073 12.4235 [-(18-14*x+156*x^3+390*x^4-137*x^2)/(5*x^2+x-1)/(78*x^3+2*x^2-19*x+1) lgdogf] A203073 13.3872 [-4*(5*x^2+x-1)/(78*x^3+2*x^2-19*x+1) ogf] A203073 6.59061 [-(5504665*f(x)-2716406)*(78*f(x)*x^3+2*f(x)*x^2-19*f(x)*x+20*x^2+f(x)+4*x-4) ogf] A203073 7.26084 [{a(n+3)-19*a(n+2)+2*a(n+1)+78*a(n),a(0)=4,a(1)=72,a(2)=1340} ogf] A203073 7.71873 [-(-390*x^4-156*x^3+137*x^2+14*x-18)/(-390*x^5-88*x^4+171*x^3+16*x^2-20*x+1) lgdogf] A203084 3.53314 [-(36*x^9+53*x^8+61*x^7+26*x^6+44*x^5-90*x^4-113*x^3-270*x^2-155*x-98)/(x^10+x^9+x^8+x^6-3*x^5-2*x^4-6*x^3-x^2-x+1) ogf] A203094 6.27030 [-(x^6+5*x^4+6*x^2+1)/(x^7-x^6+6*x^5-5*x^4+10*x^3-6*x^2+4*x-1) ogf] A203095 3.61809 [-2*(288*x^6+472*x^5+543*x^4+300*x^3+122*x^2+22*x+2)/(576*x^7+532*x^6+945*x^5+270*x^4+236*x^3-x^2+10*x-1) ogf] A203103 3.98737 [-(5*x^8-10*x^7-12*x^6-16*x^5-6*x^4+6*x^3+11*x^2+2)/(5*x^9-10*x^8-12*x^7-17*x^6-4*x^5+8*x^4+15*x^3+2*x^2+2*x-1) ogf] A203134 3.72736 [(52245212694095952*f(x)-482546555729977)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x+10*x^2-f(x)+385*x+1) ogf] A203134 4.40240 [{a(n+3)-1155*a(n+2)+1155*a(n+1)-a(n),a(0)=1,a(1)=1540,a(2)=1777555} ogf] A203134 7.98721 [-(10*x^2+385*x+1)/(x-1)/(x^2-1154*x+1) ogf] A203135 10.2704 [-2*(-14+37*x+7*x^3+x^4-159*x^2)/(x-1)/(x^2-34*x+1)/(2*x^2+7*x-1) lgdogf] A203135 10.6133 [(2*x^2+7*x-1)/(x-1)/(x^2-34*x+1) ogf] A203135 5.06544 [-(208185760*f(x)+14371829)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-2*x^2-f(x)-7*x+1) ogf] A203135 5.71485 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=28,a(2)=943} ogf] A203135 6.24895 [-(2*x^4+14*x^3-318*x^2+74*x-28)/(2*x^5-63*x^4-176*x^3+278*x^2-42*x+1) lgdogf] A203136 10.0252 [-2*(10-33*x-15*x^3+x^4+229*x^2)/(x-1)/(2*x^2-15*x+1)/(x^2-34*x+1) lgdogf] A203136 10.3589 [-(2*x^2-15*x+1)/(x-1)/(x^2-34*x+1) ogf] A203136 5.17947 [(234221328*f(x)-7262591)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+2*x^2-f(x)-15*x+1) ogf] A203136 5.66642 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=20,a(2)=667} ogf] A203136 6.19599 [-(-2*x^4+30*x^3-458*x^2+66*x-20)/(-2*x^5+85*x^4-596*x^3+562*x^2-50*x+1) lgdogf] A203147 3.95509 [{(-n^2-26*n-169)*a(n+1)+(2*n+27)*a(n+2)-a(n+3),a(0)=1,a(1)=23,a(2)=431} ogf] A203150 12.6699 [(x^2+3*x+1)/(2*x^2-1)^2 ogf] A203150 16.0850 [-(3+10*x+4*x^3+18*x^2)/(x^2+3*x+1)/(2*x^2-1) lgdogf] A203150 7.60193 [(32*f(x)-31)*(4*f(x)*x^4-4*f(x)*x^2-x^2+f(x)-3*x-1) ogf] A203150 8.80712 [-(4*x^3+18*x^2+10*x+3)/(2*x^4+6*x^3+x^2-3*x-1) lgdogf] A203157 4.96973 [{(n^3+9*n^2+27*n+27)*a(n+1)+(-2*n-4)*a(n+2),a(0)=1,a(1)=4} ogf] A203159 4.01880 [{(-4*n^2-24*n-36)*a(n+1)+(4*n+14)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=44} ogf] A203160 8.09159 [-(5+22*x+294*x^3+264*x^4+84*x^2+288*x^5+432*x^6)/(6*x^3-1)/(36*x^4+16*x^3+11*x^2+5*x+1) lgdogf] A203160 9.20133 [(36*x^4+16*x^3+11*x^2+5*x+1)/(6*x^3-1)^2 ogf] A203161 8.24158 [-(4+22*x+156*x^3+264*x^4+117*x^2+486*x^5+108*x^6)/(3*x+1)/(6*x^3-1)/(3*x^3+8*x^2+x+1) lgdogf] A203161 9.27623 [(3*x+1)*(3*x^3+8*x^2+x+1)/(6*x^3-1)^2 ogf] A203162 8.27467 [-(3+22*x+106*x^3+264*x^4+51*x^2+90*x^5+48*x^6)/(6*x^3-1)/(4*x^4+5*x^3+11*x^2+3*x+1) lgdogf] A203162 9.21755 [(4*x^4+5*x^3+11*x^2+3*x+1)/(6*x^3-1)^2 ogf] A203163 6.87052 [(36*x^6+28*x^5+26*x^4+50*x^3+11*x^2+3*x+1)/(24*x^4-1)^2 ogf] A203164 7.03842 [(64*x^6+80*x^5+176*x^4+50*x^3+14*x^2+5*x+1)/(24*x^4-1)^2 ogf] A203165 6.99762 [(144*x^6+432*x^5+126*x^4+50*x^3+19*x^2+7*x+1)/(24*x^4-1)^2 ogf] A203166 5.22873 [(576*x^8+324*x^7+188*x^6+154*x^5+274*x^4+50*x^3+11*x^2+3*x+1)/(120*x^5-1)^2 ogf] A203167 8.66720 [-4*(1+4*x+36*x^3+32*x^4+15*x^2+36*x^5+32*x^6)/(4*x^3-1)/(16*x^4+12*x^3+8*x^2+4*x+1) lgdogf] A203167 9.65109 [(16*x^4+12*x^3+8*x^2+4*x+1)/(4*x^3-1)^2 ogf] A203169 5.33789 [x*(x+1)*(x^2+25*x+1)/(x^2-47*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A203170 4.62098 [x*(x^4-39*x^3+130*x^2-39*x+1)/(x^2-47*x+1)/(x^2-7*x+1)/(x-1)^2 ogf] A203171 6.42736 [-x*(x^2-25*x+1)/(x+1)/(x^2+7*x+1)/(x^2+47*x+1) ogf] A203172 5.05285 [x*(x^4+39*x^3+130*x^2+39*x+1)/(x-1)/(x+1)/(x^2+7*x+1)/(x^2+47*x+1) ogf] A203175 16.1093 [-(x^2+1)/(2*x^3+x-1) ogf] A203175 19.3702 [-(1+2*x+2*x^4+5*x^2)/(1+x^2)/(2*x^3+x-1) lgdogf] A203175 8.39741 [{a(n+3)-a(n+2)-2*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A203175 8.86917 [(f(x)-1)*(2*f(x)*x^3+f(x)*x+x^2-f(x)+1) ogf] A203175 9.86696 [-(2*x^4+5*x^2+2*x+1)/(2*x^5+3*x^3-x^2+x-1) lgdogf] A203176 4.34148 [(6*x^9-18*x^8-x^7-12*x^6+15*x^5+3*x^4+7*x^3-3*x^2-2*x-2)/(30*x^9-7*x^7-31*x^6-x^5+5*x^4+10*x^3+2*x^2-1) ogf] A203184 4.66114 [-(x^2+1)*(x^6+6*x^4+9*x^2+1)/(x^9-x^8+8*x^7-7*x^6+21*x^5-15*x^4+20*x^3-10*x^2+5*x-1) ogf] A203230 12.2213 [(x^2+4*x+1)/(3*x^2-1)^2 ogf] A203230 15.1722 [-2*(2+7*x+3*x^3+18*x^2)/(1+4*x+x^2)/(3*x^2-1) lgdogf] A203230 7.49046 [(3*f(x)-5)*(9*f(x)*x^4-6*f(x)*x^2-x^2+f(x)-4*x-1) ogf] A203230 8.39294 [-(-6*x^3-36*x^2-14*x-4)/(-3*x^4-12*x^3-2*x^2+4*x+1) lgdogf] A203231 12.6469 [(9*x^2+4*x+1)/(3*x^2-1)^2 ogf] A203231 14.4288 [-2*(2+15*x+27*x^3+18*x^2)/(9*x^2+4*x+1)/(3*x^2-1) lgdogf] A203231 7.58814 [(27*f(x)+19)*(9*f(x)*x^4-6*f(x)*x^2-9*x^2+f(x)-4*x-1) ogf] A203231 8.48087 [-(54*x^3+36*x^2+30*x+4)/(27*x^4+12*x^3-6*x^2-4*x-1) lgdogf] A203232 10.7683 [(x+1)*(4*x+1)/(6*x^2-1)^2 ogf] A203232 13.2404 [-(5+32*x+48*x^3+90*x^2)/(4*x+1)/(1+x)/(6*x^2-1) lgdogf] A203232 6.54978 [(78*f(x)-47)*(36*f(x)*x^4-12*f(x)*x^2-4*x^2+f(x)-5*x-1) ogf] A203232 7.47447 [-(-48*x^3-90*x^2-32*x-5)/(-24*x^4-30*x^3-2*x^2+5*x+1) lgdogf] A203233 10.9340 [(9*x^2+5*x+1)/(6*x^2-1)^2 ogf] A203233 13.1682 [-(6*x+1)*(18*x^2+12*x+5)/(9*x^2+5*x+1)/(6*x^2-1) lgdogf] A203233 6.58268 [(144*f(x)+19)*(36*f(x)*x^4-12*f(x)*x^2-9*x^2+f(x)-5*x-1) ogf] A203233 7.50121 [-(108*x^3+90*x^2+42*x+5)/(54*x^4+30*x^3-3*x^2-5*x-1) lgdogf] A203234 8.42598 [(x^6+3*x^5+5*x^4+7*x^3+3*x^2+2*x+1)/(2*x^4-1)^2 ogf] A203235 8.23850 [(x^6+4*x^5+7*x^4+10*x^3+3*x^2+2*x+1)/(3*x^4-1)^2 ogf] A203241 15.3042 [-2/(x-1)/(2*x-1)/(4*x-1) ogf] A203241 16.1598 [-(7-28*x+24*x^2)/(x-1)/(-1+2*x)/(4*x-1) lgdogf] A203241 5.58935 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=2,a(1)=14,a(2)=70} ogf] A203241 6.18054 [(381*f(x)-272)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+2) ogf] A203241 9.59366 [-(24*x^2-28*x+7)/(8*x^3-14*x^2+7*x-1) lgdogf] A203242 6.71387 [-(4*x^2+2*x-3)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A203242 8.62008 [-(-31+166*x-8*x^3+128*x^4-228*x^2)/(x-1)/(-1+2*x)/(4*x-1)/(4*x^2+2*x-3) lgdogf] A203243 13.9861 [-3/(x-1)/(3*x-1)/(9*x-1) ogf] A203243 15.4772 [-(13-78*x+81*x^2)/(x-1)/(3*x-1)/(9*x-1) lgdogf] A203243 5.21515 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=3,a(1)=39,a(2)=390} ogf] A203243 5.69803 [(7651*f(x)-2673)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x-f(x)+3) ogf] A203243 8.79126 [-(81*x^2-78*x+13)/(27*x^3-39*x^2+13*x-1) lgdogf] A203244 13.2002 [-4/(x-1)/(4*x-1)/(16*x-1) ogf] A203244 13.8896 [-3*(7-56*x+64*x^2)/(x-1)/(4*x-1)/(16*x-1) lgdogf] A203244 4.88074 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=4,a(1)=84,a(2)=1428} ogf] A203244 5.28008 [(70993*f(x)-14080)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x-f(x)+4) ogf] A203244 8.06678 [-(192*x^2-168*x+21)/(64*x^3-84*x^2+21*x-1) lgdogf] A203245 7.11176 [-(x^3-x^2-3*x-2)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A203246 13.1087 [-(5+16*x+8*x^3+5*x^4+26*x^2)/(x-1)/(1+x)/(x^3+x^2+3*x+1) lgdogf] A203246 7.41429 [-(x^3+x^2+3*x+1)/(x+1)^3/(x-1)^5 ogf] A203246 8.32048 [-(5*x^4+8*x^3+26*x^2+16*x+5)/(x^5+x^4+2*x^3-3*x-1) lgdogf] A203280 4.24465 [-4*x*(8*x^7-8*x^6+2*x^5+12*x^4-26*x^3+19*x^2-2*x-1)/(2*x^3-3*x^2+5*x-1)/(4*x^6-10*x^4+3*x^2-1) ogf] A203286 10.4602 [-(12+8*x+4*x^3+4*x^4-5*x^2-4*x^5+x^6)/(x-1)/(1+x)/(x^5-4*x^4+5*x^3-4*x+4) lgdogf] A203286 8.36940 [-(x^5-4*x^4+5*x^3-4*x+4)/(x+1)/(x-1)^5 ogf] A203287 4.30336 [-(x^10-4*x^9+4*x^8+3*x^7-6*x^6+x^5+x^4+11*x^3+5*x^2+x+5)/(x^2+x+1)/(x+1)^2/(x-1)^7 ogf] A203292 12.7929 [-(-6-6*x-5*x^3-3*x^4+3*x^2+x^5)/(x-1)/(1+x)/(x^4-3*x^3+3*x-3) lgdogf] A203292 9.35991 [-(x^4-3*x^3+3*x-3)/(x+1)/(x-1)^4 ogf] A203293 4.49818 [-(x^9-3*x^8-x^7+4*x^6-x^5-7*x^4-11*x^3-2*x^2+2*x-4)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A203298 6.49495 [-(x^5-x^4-3*x^3+3*x^2+4*x+2)/(x+1)^3/(x-1)^5 ogf] A203298 9.19943 [-(8+30*x+8*x^3-12*x^4+25*x^2-2*x^5+3*x^6)/(x-1)/(1+x)/(x^5-x^4-3*x^3+3*x^2+4*x+2) lgdogf] A203299 6.35644 [-(x+2)*(x^4-x^3-3*x^2+3*x+2)/(x+1)^3/(x-1)^5 ogf] A203299 8.78372 [-(16+42*x-24*x^3-18*x^4+35*x^2+6*x^5+3*x^6)/(x-1)/(x+2)/(1+x)/(x^4-x^3-3*x^2+3*x+2) lgdogf] A203310 3.89474 [{(-2*n^3-21*n^2-73*n-84)*a(n+1)+(n+5)*a(n+2),a(0)=2,a(1)=15} ogf] A203357 3.99967 [-(190239*f(x)-139450)*(f(x)*x^4+6*f(x)*x^3+12*f(x)*x^2+x^3+3*f(x)*x+6*x^2-f(x)+11*x+3) ogf] A203357 6.81557 [-(20+84*x+138*x^3+57*x^4+171*x^2+12*x^5+x^6)/(x^3+6*x^2+11*x+3)/(x^4+6*x^3+12*x^2+3*x-1) lgdogf] A203357 7.74619 [-(x^3+6*x^2+11*x+3)/(x^4+6*x^3+12*x^2+3*x-1) ogf] A203358 5.60557 [-(7*x^4-20*x^3-50*x^2-36*x-5)/(7*x^5-23*x^4-54*x^3-42*x^2-5*x+1) ogf] A203365 4.61847 [(29*f(x)-17)*(f(x)*x^4+2*f(x)*x^3+5*f(x)*x^2+x^3+2*f(x)*x+2*x^2-f(x)+5*x+2) ogf] A203365 7.67383 [-(9+24*x+24*x^3+14*x^4+36*x^2+4*x^5+x^6)/(x^4+2*x^3+5*x^2+2*x-1)/(x^3+2*x^2+5*x+2) lgdogf] A203365 8.33722 [-(x^3+2*x^2+5*x+2)/(x^4+2*x^3+5*x^2+2*x-1) ogf] A203366 3.78502 [-(2*x^8-2*x^7+17*x^6-3*x^5-20*x^4-40*x^3-38*x^2-21*x-3)/(2*x^9-2*x^8+17*x^7+x^6-24*x^5-45*x^4-44*x^3-26*x^2-3*x+1) ogf] A203373 4.20614 [-(1897807*f(x)+20566480)*(6*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+96*x^2-f(x)-224*x+108) ogf] A203373 4.69685 [{-a(n+3)+9*a(n+2)-15*a(n+1)+6*a(n),a(0)=108,a(1)=748,a(2)=5208} ogf] A203373 7.36081 [-(187-762*x-672*x^3+144*x^4+1110*x^2)/(24*x^2-56*x+27)/(6*x^3-15*x^2+9*x-1) lgdogf] A203373 8.41227 [-4*(24*x^2-56*x+27)/(6*x^3-15*x^2+9*x-1) ogf] A203374 4.71340 [-4*(64*x^4-376*x^3+692*x^2-443*x+81)/(8*x^5-48*x^4+92*x^3-65*x^2+16*x-1) ogf] A203400 13.3497 [-x^2/(x-1)/(x^3-x+1) ogf] A203400 22.1245 [-(2-2*x+4*x^3-3*x^2)/(x-1)/(x^3-x+1) lgdogf] A203400 5.84739 [(f(x)-1)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+2*f(x)*x+x^2-f(x)) ogf] A203400 8.84418 [-(4*x^3-3*x^2-2*x+2)/(x^4-x^3-x^2+2*x-1) lgdogf] A203408 4.86362 [-(27*x^4+10633*x^3+807548*x^2+539*x+1)/(x-1)/(x^2-1442*x+1)/(x^2+1442*x+1) ogf] A203409 6.60165 [(3*x^4+62*x^3+382*x^2-14*x-1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A203410 6.57415 [-(3*x^4+49*x^3-604*x^2+11*x+1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A203446 6.80181 [-2*(6*x^4-11*x^3-4*x^2+15*x-8)/(x+1)/(2*x-1)/(x-1)^3 ogf] A203446 6.87709 [-(17-22*x+66*x^3-33*x^4-32*x^2-20*x^5+12*x^6)/(x-1)/(-1+2*x)/(1+x)/(6*x^4-11*x^3-4*x^2+15*x-8) lgdogf] A203462 7.36964 [-(x^12-x^11+x^9-x^7+5*x^5-2*x^4-2*x^3-x^2+33*x-34)/(x-1)^2 ogf] A203464 10.5365 [(4*x^4+5*x^3+47*x^2+5*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A203464 8.14110 [-(9+103*x+93*x^3+76*x^4+71*x^2+4*x^7+150*x^5+14*x^6)/(x-1)/(1+x)/(x^2+1)/(4*x^4+5*x^3+47*x^2+5*x+4) lgdogf] A203473 4.20215 [{(4*n^2+42*n+110)*a(n+1)+(-n-8)*a(n+2),a(0)=7,a(1)=72} ogf] A203473 7.00907 [3*I*(768*I*x^2-330*I*x+35*I+35*(-1+4*x)^(3/2))/(-1+4*x)/(144*x-35)/x lgdegf] A203536 7.31262 [-(1+4*x-12*x^3+14*x^2+4*x^7+3*x^8-4*x^5+6*x^6)/(x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) lgdogf] A203536 7.50461 [-4*x*(x^3+x^2+x-1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A203551 10.1571 [x*(x^2+2*x+2)/(x-1)^4 ogf] A203551 12.1552 [-(2*x^2+8*x+10)/(x^3+x^2-2) lgdogf] A203551 22.8249 [-2*(5+4*x+x^2)/(x-1)/(x^2+2*x+2) lgdogf] A203551 4.07398 [{(6+2*n)*a(n+4)-10*a(n+3)+(-9-n)*a(n+2)+(-n-2)*a(n+1),a(0)=0,a(1)=2,a(2)=10,a(3)=29} ogf] A203551 5.18507 [(116000*f(x)+131227)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-2*x) ogf] A203552 10.0055 [x*(2*x^2+2*x+1)/(x-1)^4 ogf] A203552 12.8140 [-(4*x^2+10*x+6)/(2*x^3-x-1) lgdogf] A203552 19.9814 [-2*(2*x+3)*(1+x)/(x-1)/(2*x^2+2*x+1) lgdogf] A203552 4.03535 [{(-3-n)*a(n+4)+(4-n)*a(n+3)+10*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=20} ogf] A203552 5.18013 [(12625*f(x)+12234)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-2*x^2+f(x)-x) ogf] A203570 7.67713 [(4*x^3+12*x^2-13*x+4)/(x+1)/(x^2-3*x+1)^2 ogf] A203570 8.73171 [-(4*x^2-2*x-1)*(2*x^3+11*x^2-9*x+7)/(1+x)/(x^2-3*x+1)/(4*x^3+12*x^2-13*x+4) lgdogf] A203571 4.89805 [-x*(x^8+2*x^7+3*x^6+4*x^5+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A203572 4.18428 [-x*(x^10+2*x^9+3*x^8+4*x^7+5*x^6+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A203573 11.1630 [-(-13+27*x+25*x^3+x^4-36*x^2)/(x^2-3*x+1)/(x^3+11*x^2-11*x+4) lgdogf] A203573 4.75325 [(6220*f(x)+6277)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-x^3-6*f(x)*x-11*x^2+f(x)+11*x-4) ogf] A203573 6.73762 [-(x^4+25*x^3-36*x^2+27*x-13)/(x^5+8*x^4-43*x^3+48*x^2-23*x+4) lgdogf] A203573 8.67469 [(x^3+11*x^2-11*x+4)/(x^2-3*x+1)^2 ogf] A203574 14.1863 [-(11-17*x+6*x^3+3*x^2)/(3*x-2)/(1+x)/(x^2-3*x+1) lgdogf] A203574 5.17891 [(710*f(x)-301)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+3*x^2+f(x)+x-2) ogf] A203574 8.46311 [-(6*x^3+3*x^2-17*x+11)/(3*x^4-8*x^3-2*x^2+7*x-2) lgdogf] A203574 9.91393 [-(x+1)*(3*x-2)/(x^2-3*x+1)^2 ogf] A203575 3.98851 [x*(7*x^10-10*x^9+2*x^8+3*x^7+3*x^6-5*x^5+x^4+5*x^3-2*x^2+3*x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A203579 11.8478 [-(2+2*x+32*x^3+12*x^4-23*x^2)/(x-1)/(4*x^2+2*x-1)/(3*x^2+4*x-2) lgdogf] A203579 12.4548 [-(3*x^2+4*x-2)/(x-1)/(4*x^2+2*x-1) ogf] A203579 6.54951 [-(10*f(x)+1)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+3*x^2+f(x)+4*x-2) ogf] A203579 6.78341 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=2,a(1)=2,a(2)=7} ogf] A203579 7.37614 [-(-12*x^4-32*x^3+23*x^2-2*x-2)/(-12*x^5-10*x^4+25*x^3+5*x^2-10*x+2) lgdogf] A203591 9.34926 [(11000*x^3+10100*x^2+10010*x+10001)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A203611 4.32738 [-f(x)^2*x^4+2*f(x)^2*x^3+f(x)*x^4+f(x)^2*x^2-2*f(x)*x^3+2*f(x)^2*x-f(x)*x^2-f(x)^2-2*f(x)*x+f(x)+x ogf] A203625 4.29311 [-(3371906864928*f(x)+97200634697)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x-5*x^2-f(x)-60*x+1) ogf] A203625 4.99691 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=1,a(1)=135,a(2)=26125} ogf] A203625 8.32037 [-(-135+400*x+120*x^3+5*x^4-12678*x^2)/(x-1)/(5*x^2+60*x-1)/(x^2-194*x+1) lgdogf] A203625 9.23671 [(5*x^2+60*x-1)/(x-1)/(x^2-194*x+1) ogf] A203626 4.39843 [(2000423411952*f(x)-42995953565)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+5*x^2-f(x)-78*x+1) ogf] A203626 4.97528 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=1,a(1)=117,a(2)=22625} ogf] A203626 8.40039 [-(117-380*x-156*x^3+5*x^4+14238*x^2)/(x-1)/(5*x^2-78*x+1)/(x^2-194*x+1) lgdogf] A203626 9.19673 [-(5*x^2-78*x+1)/(x-1)/(x^2-194*x+1) ogf] A203628 3.59304 [-(111394621061600*f(x)+1448642610333)*(f(x)*x^3-899*f(x)*x^2+899*f(x)*x-11*x^2-f(x)-310*x+1) ogf] A203628 4.32334 [{a(n+3)-899*a(n+2)+899*a(n+1)-a(n),a(0)=1,a(1)=589,a(2)=528601} ogf] A203628 7.82016 [(11*x^2+310*x-1)/(x-1)/(x^2-898*x+1) ogf] A203629 3.64226 [(3438751953278880*f(x)-39107780601691)*(f(x)*x^3-899*f(x)*x^2+899*f(x)*x+11*x^2-f(x)-348*x+1) ogf] A203629 4.32334 [{-a(n+3)+899*a(n+2)-899*a(n+1)+a(n),a(0)=1,a(1)=551,a(2)=494461} ogf] A203629 7.82016 [-(11*x^2-348*x+1)/(x-1)/(x^2-898*x+1) ogf] A203648 5.52761 [{(n+5)*a(n+1)+(-n-2)*a(n+4),a(0)=1,a(1)=2,a(2)=9,a(3)=4} ogf] A203648 8.75141 [-2*(1+9*x+7*x^3+18*x^4+6*x^2+3*x^5+x^6)/(x-1)/(1+x+x^2)/(x^4+2*x^3+9*x^2+2*x+1) lgdogf] A203648 9.69225 [(x^4+2*x^3+9*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A203650 10.1281 [-(140*x+81)/(28*x^2+17*x-1) ogf] A203650 5.11521 [(30325*f(x)-155036)*(28*f(x)*x^2+17*f(x)*x-f(x)+140*x+81) ogf] A203650 5.75460 [{a(n+2)-17*a(n+1)-28*a(n),a(0)=81,a(1)=1517} ogf] A203650 6.10126 [-(-3920*x^2-4536*x-1517)/(-3920*x^3-4648*x^2-1237*x+81) lgdogf] A203650 9.91146 [-(1517+4536*x+3920*x^2)/(140*x+81)/(28*x^2+17*x-1) lgdogf] A203651 3.71948 [-(89271933679*f(x)+1171127806216)*(96*f(x)*x^3-204*f(x)*x^2+45*f(x)*x+2400*x^2-f(x)-4748*x+729) ogf] A203651 4.32971 [{-a(n+3)+45*a(n+2)-204*a(n+1)+96*a(n),a(0)=729,a(1)=28057,a(2)=1116249} ogf] A203651 7.59182 [-(2400*x^2-4748*x+729)/(96*x^3-204*x^2+45*x-1) ogf] A203719 4.93239 [-x^3*(x^9+9*x^8+64*x^7+16*x^6+118*x^5+118*x^4+64*x^3+16*x^2+9*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+18*x^2+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A203721 4.28266 [-(9*x^8-6*x^7-55*x^6+61*x^5+89*x^4-143*x^3+79*x-32)/(x^3-x^2-2*x+1)/(x^2+x-1)^2/(x-1)^2 ogf] A203729 4.61691 [(351541*f(x)-515115776)*(238*f(x)*x^2+29*f(x)*x-f(x)+121856*x+14400) ogf] A203729 5.40277 [{a(n+2)-29*a(n+1)-238*a(n),a(0)=14400,a(1)=539456} ogf] A203729 5.52022 [-(-453152*x^2-107100*x-8429)/(-453152*x^3-108766*x^2-4621*x+225) lgdogf] A203729 8.72983 [-(8429+107100*x+453152*x^2)/(1904*x+225)/(238*x^2+29*x-1) lgdogf] A203729 8.90982 [-64*(1904*x+225)/(238*x^2+29*x-1) ogf] A203730 3.28408 [{-a(n+3)+99*a(n+2)-609*a(n+1)-588*a(n),a(0)=216000,a(1)=19071424,a(2)=1754118528} ogf] A203730 5.46028 [-64*(37632*x^2+36134*x-3375)/(588*x^3+609*x^2-99*x+1) ogf] A203776 10.8871 [-(x^8-x^7+x^5+x^3-x+1)/(x^10-1) ogf_with_Euler_transform] A203777 11.1162 [(55*f(x)-2018)*(f(x)*x^2-f(x)+284*x+220) ogf] A203777 11.5793 [-(71*x^2+110*x+71)/(71*x^3+55*x^2-71*x-55) lgdogf] A203777 12.2605 [{a(n+2)-a(n),a(0)=220,a(1)=284} ogf] A203777 18.5269 [-4*(71*x+55)/(x-1)/(x+1) ogf] A203777 20.4477 [-(71+110*x+71*x^2)/(71*x+55)/(x-1)/(1+x) lgdogf] A203789 10.4910 [{a(n+1)-7*a(n),a(0)=112} ogf] A203789 13.1747 [-7*f(x)*x+f(x)-112 ogf] A203789 20.2326 [7/(-7*x+1) lgdogf] A203789 20.9820 [-112/(7*x-1) ogf] A203789 50.4501 [-7/(-1+7*x) lgdogf] A203790 10.1823 [-16*(24*x+49)/(6*x^2+13*x-1) ogf] A203790 11.0729 [-(661+588*x+144*x^2)/(24*x+49)/(6*x^2+13*x-1) lgdogf] A203790 5.19504 [(9181*f(x)-207168)*(6*f(x)*x^2+13*f(x)*x-f(x)+384*x+784) ogf] A203790 5.72037 [{a(n+2)-13*a(n+1)-6*a(n),a(0)=784,a(1)=10576} ogf] A203790 6.61186 [-(-144*x^2-588*x-661)/(-144*x^3-606*x^2-613*x+49) lgdogf] A203791 3.53017 [-(193093711703*f(x)+40405770029568)*(72*f(x)*x^3-117*f(x)*x^2+31*f(x)*x+18432*x^2-f(x)-27936*x+5488) ogf] A203791 4.18189 [{-a(n+3)+31*a(n+2)-117*a(n+1)+72*a(n),a(0)=5488,a(1)=142192,a(2)=3784288} ogf] A203791 7.15324 [-16*(1152*x^2-1746*x+343)/(72*x^3-117*x^2+31*x-1) ogf] A203803 17.1593 [-(-1-24*x+8*x^3+23*x^2)/(x^2+4*x-1)/(x^2-x-1) lgdogf] A203803 9.34764 [1/(x^2+4*x-1)/(x^2-x-1)^3 ogf] A203803 9.57563 [-(-8*x^3-23*x^2+24*x+1)/(-x^4-3*x^3+6*x^2+3*x-1) lgdogf] A203804 12.3364 [-(1+76*x-79*x^3+16*x^4-164*x^2)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) lgdogf] A203804 7.42777 [-(-16*x^4+79*x^3+164*x^2-76*x-1)/(-x^5+5*x^4+15*x^3-15*x^2-5*x+1) lgdogf] A203805 8.79266 [-(1+235*x-1045*x^3+255*x^4-960*x^2+32*x^5)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) lgdogf] A203806 7.22450 [-(-1-716*x+11155*x^3-5940*x^4+5485*x^2-831*x^5+64*x^6)/(1+x)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) lgdogf] A203819 10.1786 [{a(n+1)-9*a(n),a(0)=144} ogf] A203819 12.7824 [-9*f(x)*x+f(x)-144 ogf] A203819 19.6301 [9/(-9*x+1) lgdogf] A203819 20.3571 [-144/(9*x-1) ogf] A203819 48.9373 [-9/(-1+9*x) lgdogf] A203820 11.084 [-21*f(x)*x+f(x)-1296 ogf] A203820 16.6261 [21/(-21*x+1) lgdogf] A203820 17.1994 [-1296/(21*x-1) ogf] A203820 37.5559 [-21/(-1+21*x) lgdogf] A203820 8.90682 [{a(n+1)-21*a(n),a(0)=1296} ogf] A203821 14.9923 [-11664/(49*x-1) ogf] A203821 33.8330 [-49/(-1+49*x) lgdogf] A203821 7.89068 [{a(n+1)-49*a(n),a(0)=11664} ogf] A203821 9.77757 [-49*f(x)*x+f(x)-11664 ogf] A203822 2.74458 [{-a(n+4)+117*a(n+3)-34398*a(n+1)+86436*a(n),a(0)=104976,a(1)=12002256,a(2)=1372257936,a(3)=157025515248} ogf] A203822 4.42331 [-11664*(7056*x^3-2744*x^2-24*x+9)/(294*x^2-117*x+1)/(294*x^2-1) ogf] A203829 11.6280 [-9*(6*x-25)/(2*x^2-9*x+1) ogf] A203829 13.0193 [-(219-100*x+12*x^2)/(6*x-25)/(2*x^2-9*x+1) lgdogf] A203829 5.63781 [-(1871*f(x)+10674)*(2*f(x)*x^2-9*f(x)*x+f(x)+54*x-225) ogf] A203829 6.41543 [{a(n+2)-9*a(n+1)+2*a(n),a(0)=225,a(1)=1971} ogf] A203829 7.44189 [-(-12*x^2+100*x-219)/(-12*x^3+104*x^2-231*x+25) lgdogf] A203830 3.65401 [-(1194071747*f(x)+87980858640)*(32*f(x)*x^3-54*f(x)*x^2+19*f(x)*x+2592*x^2-f(x)-4086*x+1125) ogf] A203830 4.20068 [{-a(n+3)+19*a(n+2)-54*a(n+1)+32*a(n),a(0)=1125,a(1)=17289,a(2)=270333} ogf] A203830 7.30803 [-9*(288*x^2-454*x+125)/(32*x^3-54*x^2+19*x-1) ogf] A203837 11.6742 [-x^2*(x-1)*(x+1)*(3*x^2-1)/(3*x^5-5*x^4-4*x^3+5*x^2+x-1) ogf] A203852 23.3740 [-ln(1-x) lgdegf] A203852 89.3827 [-ln(1-x) lgdegf] A203872 10.5006 [-5*(15*x-11)/(21*x-1)/(x-1) ogf] A203872 11.1933 [-(227-462*x+315*x^2)/(15*x-11)/(x-1)/(21*x-1) lgdogf] A203872 5.19727 [-(4532*f(x)+8385)*(21*f(x)*x^2-22*f(x)*x+f(x)+75*x-55) ogf] A203872 5.84693 [{a(n+2)-22*a(n+1)+21*a(n),a(0)=55,a(1)=1135} ogf] A203872 6.68221 [-(-315*x^2+462*x-227)/(-315*x^3+561*x^2-257*x+11) lgdogf] A203873 4.48866 [-(1143024*f(x)+10501537)*(49*f(x)*x^2-50*f(x)*x+f(x)+535*x-487) ogf] A203873 5.38640 [-(-26215*x^2+47726*x-23815)/(-26215*x^3+50613*x^2-24885*x+487) lgdogf] A203873 5.38640 [{a(n+2)-50*a(n+1)+49*a(n),a(0)=487,a(1)=23815} ogf] A203873 8.95313 [-(23815-47726*x+26215*x^2)/(x-1)/(535*x-487)/(49*x-1) lgdogf] A203873 9.50541 [-(535*x-487)/(49*x-1)/(x-1) ogf] A203880 11.3861 [-13*f(x)*x+f(x)-637 ogf] A203880 16.6996 [13/(-13*x+1) lgdogf] A203880 17.8925 [-637/(13*x-1) ogf] A203880 37.7044 [-13/(-1+13*x) lgdogf] A203880 9.10889 [{a(n+1)-13*a(n),a(0)=637} ogf] A203881 10.0284 [-(5191+46644*x+133308*x^2)/(966*x+169)/(138*x^2+25*x-1) lgdogf] A203881 10.2204 [-49*(966*x+169)/(138*x^2+25*x-1) ogf] A203881 5.20481 [(176419*f(x)-140548170)*(138*f(x)*x^2+25*f(x)*x-f(x)+47334*x+8281) ogf] A203881 6.04430 [{a(n+2)-25*a(n+1)-138*a(n),a(0)=8281,a(1)=254359} ogf] A203881 6.24578 [-(-133308*x^2-46644*x-5191)/(-133308*x^3-47472*x^2-3259*x+169) lgdogf] A203882 3.12079 [{-a(n+3)+79*a(n+2)-450*a(n+1)-144*a(n),a(0)=107653,a(1)=7501753,a(2)=543848893} ogf] A203882 5.17595 [-49*(7056*x^2+20466*x-2197)/(144*x^3+450*x^2-79*x+1) ogf] A203916 4.78539 [(24823*f(x)-389776)*(4*f(x)*x^4+6*f(x)*x^3+128*x^3+3*f(x)*x+224*x^2-f(x)+56*x+112) ogf] A203916 6.60066 [-(49+56*x+212*x^3+252*x^4+216*x^2+224*x^5+64*x^6)/(2*x^2+3*x-1)/(2*x^2+1)/(16*x^3+28*x^2+7*x+14) lgdogf] A203916 8.50036 [-8*(16*x^3+28*x^2+7*x+14)/(2*x^2+3*x-1)/(2*x^2+1) ogf] A203927 12.1616 [-11*f(x)*x+f(x)-396 ogf] A203927 17.8370 [11/(-11*x+1) lgdogf] A203927 19.1111 [-396/(11*x-1) ogf] A203927 40.3092 [-11/(-1+11*x) lgdogf] A203927 9.72927 [{a(n+1)-11*a(n),a(0)=396} ogf] A203928 4.42042 [-(13841635159*f(x)-3818667212280)*(70*f(x)*x^2+21*f(x)*x-f(x)+15120*x+4356) ogf] A203928 5.76577 [{a(n+2)-21*a(n+1)-70*a(n),a(0)=4356,a(1)=106596} ogf] A203928 6.02785 [-(-29400*x^2-16940*x-2961)/(-29400*x^3-17290*x^2-2121*x+121) lgdogf] A203928 9.82317 [-36*(420*x+121)/(70*x^2+21*x-1) ogf] A203928 9.99798 [-7*(423+2420*x+4200*x^2)/(420*x+121)/(70*x^2+21*x-1) lgdogf] A203929 2.98189 [-(31661565976391*f(x)+6008042277916560)*(50*f(x)*x^3-315*f(x)*x^2+61*f(x)*x+64800*x^2-f(x)-379440*x+47916) ogf] A203929 3.56047 [{-a(n+3)+61*a(n+2)-315*a(n+1)+50*a(n),a(0)=47916,a(1)=2543436,a(2)=140120856} ogf] A203929 6.11671 [-36*(1800*x^2-10540*x+1331)/(50*x^3-315*x^2+61*x-1) ogf] A203958 5.05162 [-(108*x^5-432*x^4+675*x^3-517*x^2+199*x-32)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A203969 4.58803 [-(x^8-x^7-8*x^5+5*x^4+3*x^3+9*x^2+3*x+2)/(x^3-x^2-x-1)/(x^6+x^4-7*x^3-x^2-3*x+1) ogf] A203976 10.8328 [-(-5-8*x+4*x^3+15*x^4-15*x^2+2*x^5)/(x^2+5*x+1)/(x^2+x-1)/(x^2-x-1) lgdogf] A203976 13.3930 [x*(x^2+5*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A203976 7.78071 [-(110*f(x)+151)*(f(x)*x^4-3*f(x)*x^2-x^3-5*x^2+f(x)-x) ogf] A203979 10.1568 [{a(n+1)-9*a(n),a(0)=96} ogf] A203979 12.8169 [-9*f(x)*x+f(x)-96 ogf] A203979 19.2254 [9/(-9*x+1) lgdogf] A203979 20.7042 [-96/(9*x-1) ogf] A203979 47.9070 [-9/(-1+9*x) lgdogf] A203980 3.32599 [-(56203*f(x)+2679168)*(324*f(x)*x^4-270*f(x)*x^3+10368*x^3+15*f(x)*x-7776*x^2-f(x)-576*x+384) ogf] A203980 3.46555 [{-a(n+4)+15*a(n+3)-270*a(n+1)+324*a(n),a(0)=384,a(1)=5184,a(2)=69984,a(3)=956448} ogf] A203980 5.83027 [-96*(108*x^3-81*x^2-6*x+4)/(18*x^2-1)/(18*x^2-15*x+1) ogf] A203981 3.39307 [-96*(6561*x^5-3321*x^4-2124*x^3+819*x^2+76*x-16)/(81*x^3+45*x^2-1)/(81*x^3-90*x^2+25*x-1) ogf] A204010 3.73150 [-(-2*x^11-2*x^10-x^9-2*x^8-x^7-2*x^6-x^5-2*x^4-x^3-2*x^2-x-2)/(x^12-1) ogf_with_Euler_transform] A204032 4.44294 [-(32*x^8-72*x^7-20*x^6+144*x^5-52*x^4-90*x^3+55*x^2+20*x-16)/(x+1)/(2*x-1)/(2*x^2-1)^2/(x-1)^3 ogf] A204061 12.0205 [-(-x^2+4*x+1)/(-x^3+5*x^2+5*x-1) lgdogf] A204061 24.4012 [-(-1-4*x+x^2)/(x+1)/(x^2-6*x+1) lgdogf] A204061 3.86589 [{(-n-4)*a(n+4)+(16+5*n)*a(n+3)+(14+5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=1,a(2)=5,a(3)=21} ogf] A204062 10.9983 [-(-4*x^2+16*x+4)/(-x^3+5*x^2+5*x-1) lgdogf] A204062 14.2978 [1/(x^2-6*x+1)/(x+1)^2 ogf] A204062 21.2833 [-4*(-1-4*x+x^2)/(x+1)/(x^2-6*x+1) lgdogf] A204062 3.55668 [{(-n-4)*a(n+4)+(19+5*n)*a(n+3)+(26+5*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=4,a(2)=26,a(3)=148} ogf] A204062 5.62908 [-(21439*f(x)+63)*(f(x)*x^4-4*f(x)*x^3-10*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A204070 4.3787 [-(72080007*f(x)+82468706)*(2*f(x)*x^3-11*f(x)*x^2+10*f(x)*x+10*x^2-f(x)-51*x+38) ogf] A204070 4.88954 [{-a(n+3)+10*a(n+2)-11*a(n+1)+2*a(n),a(0)=38,a(1)=329,a(2)=2882} ogf] A204070 7.98866 [-(329-816*x+689*x^2-204*x^3+20*x^4)/(x-1)/(2*x^2-9*x+1)/(10*x^2-51*x+38) lgdogf] A204070 8.89008 [-(10*x^2-51*x+38)/(x-1)/(2*x^2-9*x+1) ogf] A204071 2.91155 [-(4581054297*f(x)+67802655392)*(32*f(x)*x^4-86*f(x)*x^3+73*f(x)*x^2+448*x^3-20*f(x)*x-1140*x^2+f(x)+878*x-188) ogf] A204071 5.59663 [-2*(224*x^3-570*x^2+439*x-94)/(x-1)/(32*x^3-54*x^2+19*x-1) ogf] A204078 6.72746 [-4*x*(4*x^3+2*x^2+x-1)/(4*x-1)/(x-1)/(x^2+x+1)/(4*x^2+2*x+1) ogf] A204089 11.0291 [-2*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-3*x+1 ogf] A204089 11.1867 [-(-2*x^2+1)/(-4*x^4+14*x^3-16*x^2+7*x-1) lgdogf] A204089 14.7748 [(2*x-1)*(x-1)/(2*x^2-4*x+1) ogf] A204089 19.7369 [-(-1+2*x^2)/(x-1)/(2*x-1)/(2*x^2-4*x+1) lgdogf] A204089 7.67713 [{-a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=4} ogf] A204090 5.16645 [-(627*f(x)+860)*(4*f(x)*x^4-14*f(x)*x^3+16*f(x)*x^2+4*x^3-7*f(x)*x-10*x^2+f(x)+5*x-1) ogf] A204090 9.55794 [-(4*x^3-10*x^2+5*x-1)/(2*x-1)/(x-1)/(2*x^2-4*x+1) ogf] A204091 10.4273 [-2*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-3*x+1 ogf] A204091 10.5763 [-(-4*x^2+2)/(-4*x^4+16*x^3-19*x^2+8*x-1) lgdogf] A204091 13.9687 [(2*x-1)*(x-1)/(2*x^2-5*x+1) ogf] A204091 17.7431 [-2*(-1+2*x^2)/(x-1)/(2*x-1)/(2*x^2-5*x+1) lgdogf] A204091 7.18779 [{-a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=10} ogf] A204092 5.08582 [-(2484*f(x)+2177)*(4*f(x)*x^4-16*f(x)*x^3+19*f(x)*x^2+4*x^3-8*f(x)*x-12*x^2+f(x)+5*x-1) ogf] A204092 9.53594 [-(4*x^3-12*x^2+5*x-1)/(2*x-1)/(x-1)/(2*x^2-5*x+1) ogf] A204102 3.45144 [-(56203*f(x)+16075008)*(324*f(x)*x^4-270*f(x)*x^3+62208*x^3+15*f(x)*x-46656*x^2-f(x)-3456*x+2304) ogf] A204102 3.59231 [{-a(n+4)+15*a(n+3)-270*a(n+1)+324*a(n),a(0)=2304,a(1)=31104,a(2)=419904,a(3)=5738688} ogf] A204102 6.00080 [-576*(108*x^3-81*x^2-6*x+4)/(18*x^2-1)/(18*x^2-15*x+1) ogf] A204103 3.45509 [-576*(6561*x^5-3321*x^4-2124*x^3+819*x^2+76*x-16)/(81*x^3+45*x^2-1)/(81*x^3-90*x^2+25*x-1) ogf] A204146 5.29451 [-(1952*x^4+820*x^3-2295*x^2+232*x-689)/(x-1)/(4*x^2+1)/(4*x^2+5*x-1) ogf] A204185 16.0336 [-3*x^2*(3*x+2)/(x+1)/(x-1)^5 ogf] A204185 18.4267 [-(15*x^2+24*x+11)/(3*x^3+2*x^2-3*x-2) lgdogf] A204185 33.1549 [-(11+24*x+15*x^2)/(x-1)/(3*x+2)/(x+1) lgdogf] A204185 7.30527 [{(5*n^2+33*n+52)*a(n+1)+(44+20*n)*a(n+2)+(-5*n^2-13*n-8)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A204189 12.3706 [-(-37859512559734291*x+48425980631694091)/(-37859512559734291*x^2+81002259155448482*x-43142746595714191) lgdogf] A204189 13.8898 [{-a(n+2)+2*a(n+1)-a(n),a(0)=43142746595714191,a(1)=48425980631694091} ogf] A204189 20.5642 [-(37859512559734291*x-43142746595714191)/(x-1)^2 ogf] A204189 9.53876 [(10566468071959800*f(x)+1889209145700944879980122562794481)*(f(x)*x^2-2*f(x)*x+f(x)+37859512559734291*x-43142746595714191) ogf] A204192 3.76659 [(4*x^10+5*x^9-14*x^8-34*x^7+25*x^6+48*x^5-7*x^4-31*x^3-12*x^2+12*x+3)/(x-1)/(x+1)/(2*x^6-x^5-3*x^4+x^3+2*x^2+2*x-1) ogf] A204200 10.8601 [-(x^2-3*x+1)/(x^3-3*x^2+4*x-1) ogf] A204200 12.0237 [-(x-1)*(x^3-5*x^2+3*x-1)/(x^2-3*x+1)/(x^3-3*x^2+4*x-1) lgdogf] A204200 5.91486 [{a(n+3)-4*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A204200 5.96814 [(3*f(x)-7)*(f(x)*x^3-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-3*x+1) ogf] A204200 6.75984 [-(x^4-6*x^3+8*x^2-4*x+1)/(x^5-6*x^4+14*x^3-16*x^2+7*x-1) lgdogf] A204214 11.5903 [-(120+88*x-6*x^3+x^4+27*x^2)/(x-1)/(x^4-5*x^3+14*x^2+15*x+21) lgdogf] A204214 7.06739 [-(-x^4+6*x^3-27*x^2-88*x-120)/(-x^5+6*x^4-19*x^3-x^2-6*x+21) lgdogf] A204214 7.35586 [-(x^4-5*x^3+14*x^2+15*x+21)/(x-1)^5 ogf] A204215 5.98087 [-(x^5-6*x^4+6*x^3-135*x^2-167*x-51)/(x-1)^6 ogf] A204215 8.68903 [-(-473-1105*x-6*x^3-7*x^4-522*x^2+x^5)/(x-1)/(x^5-6*x^4+6*x^3-135*x^2-167*x-51) lgdogf] A204216 4.65357 [-(x^6-7*x^5+42*x^4+481*x^3+1684*x^2+1036*x+127)/(x-1)^7 ogf] A204220 6.76649 [-(-x^5-x^2+1)/(x^6+x^5-x-1) ogf_with_Euler_transform] A204221 7.34173 [-x*(x^2-x+1)*(x^4+8*x^3+12*x^2+8*x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A204238 14.1417 [-(-4*x+17)/(-4*x^2+7*x+2) lgdogf] A204238 15.0640 [-(x-2)/(4*x+1)^2 ogf] A204238 20.1203 [-(-17+4*x)/(4*x+1)/(x-2) lgdogf] A204238 7.45101 [-(72*f(x)+145)*(16*f(x)*x^2+8*f(x)*x+f(x)+x-2) ogf] A204238 8.24932 [{a(n+2)+8*a(n+1)+16*a(n),a(0)=2,a(1)=-17} ogf] A204240 11.1606 [-(-20*x+14)/(-20*x^2+x+1) lgdogf] A204240 12.1104 [-(4*x-1)/(5*x+1)^2 ogf] A204240 13.1698 [-2*(-7+10*x)/(5*x+1)/(4*x-1) lgdogf] A204240 6.12031 [-(45*f(x)+53)*(25*f(x)*x^2+10*f(x)*x+f(x)+4*x-1) ogf] A204240 6.69634 [{a(n+2)+10*a(n+1)+25*a(n),a(0)=1,a(1)=-14} ogf] A204278 4.98440 [(3072*x^8+1792*x^7-3772*x^6-2850*x^5-1604*x^4+2402*x^3+1001*x^2+200*x-274)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204279 5.43016 [(3136*x^7+2708*x^6-4966*x^5-4264*x^4+128*x^3+2467*x^2+1484*x-783)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204280 5.50139 [(128*x^7+6528*x^6-814*x^5-10258*x^4+524*x^3+323*x^2+5081*x-1758)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204281 5.32674 [(640*x^7+19868*x^6-2022*x^5-30988*x^4+560*x^3+1283*x^2+15250*x-5263)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204282 5.29441 [(128*x^7+53524*x^6-2918*x^5-82896*x^4+1352*x^3+1427*x^2+41688*x-14141)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204283 5.31321 [(256*x^7+111900*x^6-7654*x^5-174812*x^4+4056*x^3+3659*x^2+87310*x-29731)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204295 3.97971 [-4*x*(8*x^7-4*x^6-4*x^5-15*x^4+5*x^3+2*x^2+3*x-1)/(x-1)/(4*x-1)/(x+1)/(x^2+x+1)/(x^2-3*x+1)/(4*x^2+2*x+1) ogf] A204342 99.9999 Evaluated at exp(-Pi) 1/3*exp(1/2*Pi)*Pi^(5/2)*3^(3/4)/GAMMA(11/12)^5/GAMMA(7/12)^5 A204364 4.75495 [(1800*x^8+708*x^7-1796*x^6-2006*x^5-848*x^4+1306*x^3+725*x^2+170*x-212)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204365 4.97464 [(200*x^8+1732*x^7+1104*x^6-3486*x^5-2506*x^4+404*x^3+1677*x^2+992*x-555)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204366 4.90039 [(200*x^8+1092*x^7+1928*x^6-3442*x^5-4498*x^4+1162*x^3+1517*x^2+1960*x-891)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204367 4.92299 [(200*x^8+2628*x^7+5888*x^6-7618*x^5-12706*x^4+1862*x^3+4103*x^2+5542*x-2419)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204368 4.78234 [(200*x^8+7620*x^7+14336*x^6-21146*x^5-31138*x^4+4766*x^3+10491*x^2+14008*x-6121)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204369 4.74954 [(200*x^8+20676*x^7+28976*x^6-57170*x^5-69218*x^4+13586*x^3+28227*x^2+29408*x-13693)/(x-1)/(2*x^2+2*x-1)/(2*x^3-1) ogf] A204372 99.9999 Evaluated at exp(-Pi) 9/4*Pi^(5/2)/GAMMA(3/4)^10 A204373 3.50443 [(8*x^7+16*x^6+14*x^5-27*x^4-55*x^3-20*x^2+15*x+33)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204375 6.21463 [(8*x^7+16*x^6+22*x^5-26*x^4-90*x^3-45*x^2-3*x+51)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204376 6.16452 [(4*x^7+8*x^6+37*x^5-14*x^4-118*x^3-71*x^2-24*x+78)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204377 5.83966 [(4*x^7+4*x^6+56*x^5-x^4-164*x^3-101*x^2-50*x+113)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204378 5.77546 [(4*x^7+4*x^6+101*x^5+21*x^4-257*x^3-172*x^2-94*x+182)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204379 5.78544 [(4*x^7+4*x^6+163*x^5+42*x^4-400*x^3-275*x^2-158*x+286)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204380 5.78544 [(4*x^7+4*x^6+252*x^5+65*x^4-620*x^3-427*x^2-246*x+439)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204386 99.9999 Evaluated at exp(-Pi) 9/256*exp(Pi)*Pi^2/GAMMA(3/4)^8 A204391 4.28263 [-(256711*f(x)+4048048)*(4*f(x)*x^4-10*f(x)*x^3+128*x^3+5*f(x)*x-288*x^2-f(x)-72*x+144) ogf] A204391 6.20990 [-(81-72*x+252*x^4+308*x^3-288*x^5+64*x^6-312*x^2)/(2*x^2-1)/(16*x^3-36*x^2-9*x+18)/(2*x^2-5*x+1) lgdogf] A204391 7.89783 [-8*(16*x^3-36*x^2-9*x+18)/(2*x^2-1)/(2*x^2-5*x+1) ogf] A204409 4.27956 [2*(66604032*x^5+51511104*x^4-1780119*x^3-473995*x^2-77469*x-1785)/(2304*x^3-1) ogf] A204418 11.6896 [-(x^2+1)/(x-1)/(x^2+x+1) ogf] A204418 14.1705 [-x*(x^2-x-1) ogf_with_Euler_transform] A204418 16.0938 [-x*(2+x^3+3*x)/(x-1)/(x^2+1)/(x^2+x+1) lgdogf] A204418 16.9062 [f(x)*x^3+x^2-f(x)+1 ogf] A204418 7.01373 [{a(n+3)-a(n),a(0)=1,a(1)=0,a(2)=1} ogf] A204454 6.17350 [(x^10+2*x^9+2*x^8+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A204457 4.20113 [(x^12+2*x^11+2*x^10+2*x^9+2*x^8+2*x^7+4*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A204467 12.0526 [-(2*x+1)*(x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A204467 13.3808 [-2*(4+17*x+21*x^2+11*x^3+x^4)/(x-1)/(2*x+1)/(x+1)/(x^2+4*x+1) lgdogf] A204467 6.60025 [-(27*f(x)+773)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+9*x^2-f(x)+6*x+1) ogf] A204467 8.40032 [-(2*x^4+22*x^3+42*x^2+34*x+8)/(2*x^5+9*x^4+4*x^3-8*x^2-6*x-1) lgdogf] A204468 7.79269 [x*(5*x^4+9*x^3+12*x^2+5*x+1)/(x^2+x+1)/(x-1)^4 ogf] A204468 9.36566 [-2*(x+1)*(5*x^5+16*x^4+29*x^3+25*x^2+17*x+4)/(x-1)/(x^2+x+1)/(5*x^4+9*x^3+12*x^2+5*x+1) lgdogf] A204469 4.32018 [-(12*x^10+390*x^9+1821*x^8+4057*x^7+6070*x^6+6651*x^5+5374*x^4+3123*x^3+1112*x^2+139*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A204470 4.11364 [x*(32*x^9+352*x^8+979*x^7+1370*x^6+1425*x^5+1394*x^4+1072*x^3+449*x^2+54*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A204502 11.4481 [-(3*x^5-3*x^4-4*x^3-2)/(-x^6+x^4-x+1) lgdogf] A204502 15.2642 [x*(x^2+x+1)*(x^3-x+1)/(x-1)^2 ogf] A204502 17.8672 [(-2+3*x^5-4*x^3-3*x^4)/(x-1)/(x^2+x+1)/(x^3-x+1) lgdogf] A204503 12.1716 [(4+2*x+21*x^6-66*x^5+44*x^3+49*x^4)/(x-1)/(7*x^6-12*x^5-11*x^4-x-1) lgdogf] A204503 9.96369 [x*(7*x^6-12*x^5-11*x^4-x-1)/(x-1)^3 ogf] A204504 9.14623 [-x^3*(4*x+1)*(x^2+1)/(x-1)/(x+1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A204512 13.3113 [x^3*(2*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A204512 13.4865 [-2*(3*x^2-4*x-1)*(x+1)^2/(2*x+1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A204512 7.66407 [-(-6*x^4-4*x^3+12*x^2+12*x+2)/(-2*x^5-x^4+12*x^3+6*x^2-2*x-1) lgdogf] A204512 8.92638 [f(x)*(f(x)*x^4-2*x^4-6*f(x)*x^2-x^3+f(x)) ogf] A204513 12.4875 [-x^3*(x^6+36*x^5+9*x^4+34*x^3+36*x^2+9*x+1)/(x-1)/(x^2+x+1)/(x^6-254*x^3+1) ogf] A204514 10.2817 [-2*(1+3*x+3*x^6+3*x^5-3*x^2-2*x^3+15*x^4)/(2*x+1)/(3*x^2-1)/(x^2+2*x-1)/(x^2-2*x-1) lgdogf] A204514 12.5211 [-x*(2*x+1)*(3*x^2-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A204514 8.07438 [(64*f(x)+15)*(f(x)*x^4+6*x^4-6*f(x)*x^2+3*x^3-2*x^2+f(x)-x) ogf] A204515 4.57270 [{(-16*n^3-96*n^2-188*n-120)*a(n+1)+(n^2+6*n+9)*a(n+2),a(0)=1,a(1)=3} ogf] A204516 7.89703 [-x*(3*x^5+16*x^4+8*x^3-3*x^2-2*x-1)/(x^6-16*x^3+1) ogf] A204517 10.6785 [x^3*(x^3+6*x^2+3*x+1)/(x^6-16*x^3+1) ogf] A204517 9.04270 [-3*(-1-4*x+x^8+8*x^7+5*x^6+2*x^5-17*x^2-32*x^3-32*x^4)/(x^3+6*x^2+3*x+1)/(x^6-16*x^3+1) lgdogf] A204518 8.75510 [-x*(x+1)*(3*x^4+7*x^3-2*x^2-x-1)/(x^6-10*x^3+1) ogf] A204519 7.18964 [x^3*(x^3+4*x^2+2*x+1)/(x^6-10*x^3+1) ogf] A204520 4.47979 [-x*(x+1)*(3*x^6+4*x^5+14*x^4-5*x^3-2*x^2-x-1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A204521 4.34413 [x^3*(x^5+3*x^4+8*x^3+4*x^2+3*x+1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A204531 6.64563 [-(2*x^7-2*x^6+3*x^5-2*x^4+3*x^3-2*x^2+3*x-2)/(-x^8+1) ogf_with_Euler_transform] A204531 99.9999 Evaluated at exp(-Pi) 1/4/Pi^(1/2)*2^(3/16)/GAMMA(7/8)^2*GAMMA(5/8)^2*(2+2^(1/2))/(2-2^(1/2))^(1/4) A204542 11.4322 [(x^4+3*x^3+7*x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A204542 9.49347 [-(4+18*x+x^7+7*x^6+25*x^5+23*x^4+20*x^2+22*x^3)/(x-1)/(x+1)/(x^2+1)/(x^4+3*x^3+7*x^2+3*x+1) lgdogf] A204543 8.79365 [-(4*x^5+7*x^4+30*x^3+25*x^2+26*x+16)/(x^2+1)/(2*x^2-1) ogf] A204555 6.52986 [-(x^6-2*x^5-4*x^4-x^3+x^2-x-1)/(x+1)^3/(x-1)^4 ogf] A204556 6.99113 [(3*x^5+3*x^4+12*x^3+4*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A204556 9.41647 [-2*(1+8*x+33*x^4+6*x^5+3*x^6+23*x^2+22*x^3)/(x-1)/(x+1)/(3*x^5+3*x^4+12*x^3+4*x^2+x+1) lgdogf] A204557 6.88491 [-(x^5-x^4-6*x^3-14*x^2-3*x-1)/(x+1)^3/(x-1)^4 ogf] A204557 9.72408 [-2*(-2-19*x-10*x^4-x^5+x^6-25*x^2-40*x^3)/(x-1)/(x+1)/(x^5-x^4-6*x^3-14*x^2-3*x-1) lgdogf] A204558 6.17805 [-(x^6+4*x^5+31*x^4+24*x^3+31*x^2+4*x+1)/(x+1)^3/(x-1)^5 ogf] A204562 6.79132 [-(x^47+x^46-x^45-x^31-x^17-x^16-x^15-x-1)/(x-1)/(x^46-x^16-1) ogf] A204565 4.66253 [-(8259548*f(x)+21920409)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+42*x^2-f(x)-46*x+8) ogf] A204565 5.25522 [{-a(n+3)+11*a(n+2)-31*a(n+1)+21*a(n),a(0)=8,a(1)=42,a(2)=256} ogf] A204565 8.33059 [-(21-206*x+734*x^2+441*x^4-966*x^3)/(x-1)/(3*x-1)/(7*x-1)/(21*x^2-23*x+4) lgdogf] A204565 9.39570 [-2*(21*x^2-23*x+4)/(x-1)/(3*x-1)/(7*x-1) ogf] A204566 4.93785 [-2*(30*x^4-37*x^3-136*x^2+158*x-21)/(x-1)/(2*x^2-5*x+1)/(6*x^2+13*x-1) ogf] A204573 6.89130 [-x^3*(x^6+16*x^5+4*x^4+22*x^3+16*x^2+4*x+1)/(x-1)/(x^2+x+1)/(x^6-98*x^3+1) ogf] A204609 8.23056 [-(x^5+4*x^4+8*x^3+16*x^2+x-16)/(x-1)/(2*x^2+2*x-1) ogf] A204610 5.49101 [(6*x^6+77*x^5-28*x^4-229*x^3+102*x^2+101*x-47)/(x-1)/(2*x-1)/(6*x^2+3*x-1) ogf] A204611 3.47677 [-(192*x^9-64*x^8-2576*x^7-1760*x^6+4228*x^5-8*x^4-2688*x^3+840*x^2+376*x-125)/(2*x-1)/(4*x^2+2*x-1)/(8*x^4+16*x^3-12*x^2-5*x+1) ogf] A204623 11.4444 [{a(n+1)-8*a(n),a(0)=12} ogf] A204623 14.4418 [-8*f(x)*x+f(x)-12 ogf] A204623 21.6627 [8/(-8*x+1) lgdogf] A204623 23.3290 [-12/(8*x-1) ogf] A204623 54.0706 [-8/(-1+8*x) lgdogf] A204624 10.6664 [-3*(21*x-32)/(14*x^2-22*x+1) ogf] A204624 11.1266 [-(683-896*x+294*x^2)/(21*x-32)/(14*x^2-22*x+1) lgdogf] A204624 5.22654 [-(4710*f(x)+14329)*(14*f(x)*x^2-22*f(x)*x+f(x)+63*x-96) ogf] A204624 5.93925 [{a(n+2)-22*a(n+1)+14*a(n),a(0)=96,a(1)=2049} ogf] A204624 6.78771 [-(-294*x^2+896*x-683)/(-294*x^3+910*x^2-725*x+32) lgdogf] A204625 3.37403 [-(463749850973*f(x)+2909171424603)*(68*f(x)*x^3-175*f(x)*x^2+60*f(x)*x+918*x^2-f(x)-2346*x+768) ogf] A204625 3.92758 [{-a(n+3)+60*a(n+2)-175*a(n+1)+68*a(n),a(0)=768,a(1)=43734,a(2)=2490558} ogf] A204625 6.98236 [-6*(153*x^2-391*x+128)/(68*x^3-175*x^2+60*x-1) ogf] A204631 10.0731 [-(-7*x^6+5*x^4-2*x-1)/(-x^7+x^5-x^2-x+1) lgdogf] A204631 16.4458 [-1/(x^7-x^5+x^2+x-1) ogf] A204631 20.8155 [-(1-5*x^4+2*x+7*x^6)/(x^2-1+x+x^7-x^5) lgdogf] A204638 3.18324 [(504*x^9+36801*x^8+31551*x^7-90750*x^6-42717*x^5+54046*x^4+13934*x^3+11776*x^2-20851*x+4246)/(x-1)/(3*x^2+3*x-1)/(x^2+x-1)/(3*x^3-1) ogf] A204644 10.1682 [-(-x^4+4*x^2+2*x-4)/(-x^5+4*x^3-x^2-4*x+2) lgdogf] A204644 16.6012 [-4*(x^2-2)/(x^2+x-1)/(x-1) ogf] A204644 18.1619 [-(x-2)*(x^3+2*x^2-2)/(x-1)/(x^2-2)/(x^2+x-1) lgdogf] A204644 8.47353 [{a(n+3)-2*a(n+2)+a(n),a(0)=8,a(1)=16,a(2)=28} ogf] A204644 9.13999 [(3*f(x)-7)*(f(x)*x^3-2*f(x)*x+4*x^2+f(x)-8) ogf] A204645 7.72451 [-(6*x^5-23*x^4+26*x^3+8*x^2-32*x+16)/(x+1)/(x-1)^5 ogf] A204645 8.65352 [-2*(16+22*x^3+8*x^4-11*x^5-8*x+3*x^6-25*x^2)/(x-1)/(x+1)/(6*x^5-23*x^4+26*x^3+8*x^2-32*x+16) lgdogf] A204646 6.88112 [(3*x^6-20*x^5+48*x^4-42*x^3-20*x^2+56*x-28)/(x+1)/(x-1)^5 ogf] A204647 5.04522 [(4*x^8-5*x^7-43*x^6+145*x^5-167*x^4+10*x^3+160*x^2-150*x+48)/(x+1)/(x-1)^6 ogf] A204648 4.23157 [(4*x^10-8*x^9+4*x^8-89*x^7+379*x^6-600*x^5+292*x^4+335*x^3-582*x^2+343*x-80)/(x+1)/(x-1)^7 ogf] A204671 8.98695 [(x^6-5*x^5-4*x^4-3*x^3-4*x^2-x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A204674 11.2319 [-6*(2+9*x+5*x^2)/(x-1)/(5*x+1)/(3*x+1) lgdogf] A204674 6.15466 [(6455808*f(x)+61153055)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-15*x^2+f(x)-8*x-1) ogf] A204674 6.28349 [(3*x+1)*(5*x+1)/(x-1)^4 ogf] A204675 11.8089 [-(15*x^2+62*x+19)/(15*x^3+x^2-15*x-1) lgdogf] A204675 12.9335 [-(x+1)*(15*x+1)/(x-1)^3 ogf] A204675 21.0490 [-(5*x+19)*(3*x+1)/(x-1)/(15*x+1)/(x+1) lgdogf] A204675 6.57106 [(201088*f(x)-2199513)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+16*x+1) ogf] A204675 7.14747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=19,a(2)=69} ogf] A204678 7.49809 [(x+1)*(x^4+2*x^3-2*x^2-3*x+1)/(3*x^2+3*x-1)/(x^2+x-1) ogf] A204679 3.82587 [(9*x^7-21*x^6-57*x^5+140*x^4+3*x^3-79*x^2-13*x+2)/(3*x+1)/(x+1)/(x^2-3*x+1)/(9*x^2-15*x+1) ogf] A204688 9.11536 [(x^6-2*x^5-x^4-x^2-x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A204689 10.4988 [(x^4-3*x^3-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A204689 13.5544 [(1+3*x^6+3*x^4+9*x^2)/(x-1)/(x+1)/(1+x^2)/(x^4-3*x^3-x-1) lgdogf] A204689 5.64558 [{-a(n+5)+a(n+1),a(0)=1,a(1)=1,a(2)=0,a(3)=3,a(4)=0} ogf] A204689 9.81036 [f(x)*x^4-x^4+3*x^3-f(x)+x+1 ogf] A204694 6.69887 [(4*x^10+x^8-7*x^7-5*x^5-3*x^3-4*x^2-x-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A204695 4.58911 [(x^18-8*x^17-7*x^16-7*x^14-4*x^13-5*x^11-x^10-x^8-7*x^7-2*x^5-4*x^4-4*x^2-x-1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A204696 11.5994 [-(8*x^4+8*x^3-22*x^2+4*x+3)/(8*x^5-14*x^3+4*x^2+5*x-2) lgdogf] A204696 14.7035 [-8*x^5*(2*x^2+x-2)/(2*x-1)/(2*x^2-1) ogf] A204696 18.3797 [-(3+4*x+8*x^4+8*x^3-22*x^2)/(2*x-1)/(2*x^2-1)/(2*x^2+x-2) lgdogf] A204699 4.00088 [{a(n+5)-6*a(n+4)-12*a(n+3)+8*a(n+2),a(0)=2,a(1)=14,a(2)=96,a(3)=726,a(4)=5400} ogf] A204699 4.313 [(3818280*f(x)-4908301)*(8*f(x)*x^3-4*x^4-12*f(x)*x^2+2*x^3-6*f(x)*x+12*x^2+f(x)-2*x-2) ogf] A204699 7.09703 [(7+12*x+16*x^6-48*x^5+24*x^4+4*x^3+21*x^2)/(2*x+1)/(2*x-1)/(4*x^2-8*x+1)/(x^3-3*x-1) lgdogf] A204699 7.69789 [2*(2*x-1)*(x^3-3*x-1)/(2*x+1)/(4*x^2-8*x+1) ogf] A204707 10.4983 [-(24*x^2-7*x-13)/(x-1)/(4*x^2+x-1) ogf] A204707 5.42126 [-(260*f(x)+2983)*(4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+24*x^2+f(x)-7*x-13) ogf] A204707 5.75125 [{a(n+3)-2*a(n+2)-3*a(n+1)+4*a(n),a(0)=13,a(1)=33,a(2)=81} ogf] A204707 9.97480 [-(33+30*x+96*x^4-56*x^3-87*x^2)/(x-1)/(4*x^2+x-1)/(24*x^2-7*x-13) lgdogf] A204708 4.96662 [-(7165*f(x)+121428)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+36*x^2+f(x)-6*x-25) ogf] A204708 5.35196 [{-a(n+3)+3*a(n+2)+2*a(n+1)-4*a(n),a(0)=25,a(1)=81,a(2)=257} ogf] A204708 8.81573 [-(81+28*x+144*x^4-48*x^3-180*x^2)/(x-1)/(4*x^2+2*x-1)/(36*x^2-6*x-25) lgdogf] A204708 9.85440 [-(36*x^2-6*x-25)/(x-1)/(4*x^2+2*x-1) ogf] A204709 3.79129 [(5159637*f(x)-142227832)*(16*f(x)*x^4-3*f(x)*x^3-13*f(x)*x^2+224*x^3-f(x)*x+13*x^2+f(x)-160*x-49) ogf] A204709 7.09194 [-(224*x^3+13*x^2-160*x-49)/(x-1)/(16*x^3+13*x^2-1) ogf] A204710 5.28348 [-(1576*x^4-860*x^3-882*x^2+141*x+97)/(x-1)/(2*x+1)/(36*x^3-8*x^2-5*x+1) ogf] A204716 5.73187 [-(8*x^5-18*x^4-21*x^3+32*x^2+13*x-16)/(x-1)/(2*x-1)/(x^2-3*x+1)/(x+1)^2 ogf] A204734 6.78217 [-(43-28*x+80*x^6-240*x^5+154*x^4+146*x^3-167*x^2)/(x-1)/(4*x^2+x-1)/(20*x^4-50*x^3+27*x^2+17*x-15) lgdogf] A204734 6.84530 [-(20*x^4-50*x^3+27*x^2+17*x-15)/(4*x^2+x-1)/(x-1)^3 ogf] A204746 2.92781 [-(12399*f(x)+213328)*(f(x)*x^3-30*x^4-28*x^3-2*f(x)*x+70*x^2+f(x)+34*x-40) ogf] A204746 5.02476 [2*(15*x^4+14*x^3-35*x^2-17*x+20)/(x^2+x-1)/(x-1) ogf] A204748 6.06886 [(8*x^7+32*x^6+59*x^5-6*x^4-110*x^3-76*x^2-15*x+61)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A204749 5.44077 [{-a(n+5)+2*a(n+4)-a(n+2),a(0)=102,a(1)=31,a(2)=22,a(3)=27,a(4)=35} ogf] A204749 5.61078 [(388067*f(x)-27701507)*(f(x)*x^3-12*x^4-85*x^3-2*f(x)*x+40*x^2+f(x)+173*x-102) ogf] A204749 8.18557 [(31-80*x+12*x^6-32*x^4+54*x^3+29*x^2)/(x-1)/(x^2+x-1)/(12*x^4+85*x^3-40*x^2-173*x+102) lgdogf] A204749 9.44975 [(12*x^4+85*x^3-40*x^2-173*x+102)/(x^2+x-1)/(x-1) ogf] A204750 5.44077 [{-a(n+5)+2*a(n+4)-a(n+2),a(0)=188,a(1)=28,a(2)=27,a(3)=32,a(4)=40} ogf] A204750 5.61078 [(317335*f(x)-53070666)*(f(x)*x^3-4*x^4-166*x^3-2*f(x)*x+29*x^2+f(x)+348*x-188) ogf] A204750 8.48144 [(28-58*x+4*x^6+5*x^4+48*x^3-8*x^2)/(x-1)/(x^2+x-1)/(4*x^4+166*x^3-29*x^2-348*x+188) lgdogf] A204750 9.44975 [(4*x^4+166*x^3-29*x^2-348*x+188)/(x^2+x-1)/(x-1) ogf] A204751 5.44077 [{-a(n+5)+2*a(n+4)-a(n+2),a(0)=342,a(1)=38,a(2)=35,a(3)=40,a(4)=48} ogf] A204751 5.61078 [(160303*f(x)-50183776)*(f(x)*x^3-6*x^4-312*x^3-2*f(x)*x+41*x^2+f(x)+646*x-342) ogf] A204751 8.48144 [(38-82*x+6*x^6+5*x^4+68*x^3-8*x^2)/(x-1)/(x^2+x-1)/(6*x^4+312*x^3-41*x^2-646*x+342) lgdogf] A204751 9.44975 [(6*x^4+312*x^3-41*x^2-646*x+342)/(x^2+x-1)/(x-1) ogf] A204752 5.61078 [(87901*f(x)-48896286)*(f(x)*x^3-4*x^4-547*x^3-2*f(x)*x+50*x^2+f(x)+1131*x-590) ogf] A204752 8.09149 [(49-100*x+4*x^6+26*x^4+90*x^3-29*x^2)/(x-1)/(x^2+x-1)/(4*x^4+547*x^3-50*x^2-1131*x+590) lgdogf] A204752 9.32703 [(4*x^4+547*x^3-50*x^2-1131*x+590)/(x^2+x-1)/(x-1) ogf] A204753 5.53657 [(654155*f(x)-656963017)*(f(x)*x^3-4*x^4-987*x^3-2*f(x)*x+71*x^2+f(x)+2032*x-1051) ogf] A204753 7.98955 [(70-142*x+4*x^6+47*x^4+132*x^3-50*x^2)/(x-1)/(x^2+x-1)/(4*x^4+987*x^3-71*x^2-2032*x+1051) lgdogf] A204753 9.29860 [(4*x^4+987*x^3-71*x^2-2032*x+1051)/(x^2+x-1)/(x-1) ogf] A204765 6.65190 [x*(119*x^5+x^4+119*x^3-497*x^2-3*x-217)/(x-1)/(x^6-6*x^3+1) ogf] A204766 10.0733 [(13*x^2+141*x+13)/(x+1)/(x-1)^2 ogf] A204766 5.3233 [(2848*f(x)+499445)*(f(x)*x^3-f(x)*x^2-f(x)*x-13*x^2+f(x)-141*x-13) ogf] A204766 5.59629 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=13,a(1)=154,a(2)=180} ogf] A204766 7.70313 [-(-13*x^3-295*x^2-206*x-154)/(-13*x^4-141*x^3+141*x+13) lgdogf] A204769 10.1739 [(46*x^2+59*x+46)/(x+1)/(x-1)^2 ogf] A204769 5.33711 [(1625*f(x)-254001)*(f(x)*x^3-f(x)*x^2-f(x)*x-46*x^2+f(x)-59*x-46) ogf] A204769 5.56521 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=46,a(1)=105,a(2)=197} ogf] A204769 7.84493 [-(46*x^3+164*x^2+289*x+105)/(46*x^4+59*x^3-59*x-46) lgdogf] A204770 12.5041 [-(-2*x^3+x^2-1)/(x^4-x^3+x-1) ogf_with_Euler_transform] A204775 3.19986 [-(141976042*f(x)+11679645285)*(196*f(x)*x^4-308*f(x)*x^3+23814*x^3+22*f(x)*x-36288*x^2-f(x)-1728*x+2592) ogf] A204775 5.81793 [-54*(441*x^3-672*x^2-32*x+48)/(14*x^2-1)/(14*x^2-22*x+1) ogf] A204794 5.07420 [(104*x^7+65*x^6-206*x^5-233*x^4-31*x^3+204*x^2+42*x-47)/(x-1)/(2*x-1)/(6*x^2+3*x-1) ogf] A204843 3.31338 [-(x^23-x^22+x^21-x^19+x^18-x^17+x^16-x^12+2*x^11-x^10+x^6-x^5+x^4-x^3+x-1)/(-x^24+1) ogf_with_Euler_transform] A204850 99.9999 Evaluated at exp(-Pi) 1/3*exp(1/8*Pi)*Pi^(13/12)*2^(3/4)*3^(5/12)/GAMMA(2/3)^(2/3)/GAMMA(3/4)^(11/3)/(2^(1/2)*(1+3^(1/2)))^(2/3)*GAMMA(11/12)^(2/3) A204853 3.23449 [-(x^23+x^22-x^19-x^18-x^17-x^16+x^13+x^12+2*x^11+x^10+x^9-x^6-x^5-x^4-x^3+1)/(-x^24+1) ogf_with_Euler_transform] A204877 11.6593 [x*(9*x^3+3*x^2+27*x+1)/(x-1)^2/(x+1)^2 ogf] A204877 12.7614 [-(27+10*x+6*x^3+9*x^4+108*x^2)/(x-1)/(x+1)/(9*x^3+3*x^2+27*x+1) lgdogf] A204877 7.35269 [(144*f(x)+1619)*(f(x)*x^4-9*x^4-2*f(x)*x^2-3*x^3-27*x^2+f(x)-x) ogf] A204879 6.58930 [-2*(x^13-x^12+x^11-x^10+x^9-x^8+x^7-x^6+x^5+x^4-3)/(x-1)^2 ogf] A204904 11.5955 [-(2*x^3+3*x^2+6*x+1)/(x^4+x^3-x-1) lgdogf] A204904 14.6470 [2*(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A204904 19.4805 [-(1+6*x+2*x^3+3*x^2)/(x-1)/(x+1)/(1+x^2+x) lgdogf] A204904 33.2710 [-x^2+2*x+1 ogf_with_Euler_transform] A204904 7.19722 [{(n+4)*a(n+1)+(-n-2)*a(n+3),a(0)=2,a(1)=2,a(2)=6} ogf] A204904 8.60698 [-(7*f(x)+9)*(f(x)*x^4-2*f(x)*x^2-2*x^2+f(x)-2*x-2) ogf] A205064 6.47393 [-8*(x+1)*(8*x^5-8*x^4+13*x^3+4*x^2-6*x-2)/(2*x-1)^2/(2*x+1)^2 ogf] A205065 4.31536 [2*(x^9-4*x^8+11*x^7+4*x^6-9*x^5+7*x^4+3*x^3+9*x^2+20*x+8)/(2*x^9-4*x^8+3*x^6-4*x^5-2*x^3-5*x^2+1) ogf] A205084 13.8809 [(20*x+11)/(10*x-1)/(x-1) ogf] A205084 14.5302 [-(-141+220*x+200*x^2)/(20*x+11)/(x-1)/(10*x-1) lgdogf] A205084 7.15964 [(1331*f(x)+5240)*(10*f(x)*x^2-11*f(x)*x+f(x)-20*x-11) ogf] A205084 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=141} ogf] A205084 8.83332 [-(200*x^2+220*x-141)/(200*x^3-110*x^2-101*x+11) lgdogf] A205085 13.8809 [(30*x+11)/(10*x-1)/(x-1) ogf] A205085 14.5302 [-(-151+220*x+300*x^2)/(30*x+11)/(x-1)/(10*x-1) lgdogf] A205085 7.15964 [(1441*f(x)+6950)*(10*f(x)*x^2-11*f(x)*x+f(x)-30*x-11) ogf] A205085 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=151} ogf] A205085 8.94955 [-(300*x^2+220*x-151)/(300*x^3-220*x^2-91*x+11) lgdogf] A205086 13.8809 [(40*x+11)/(10*x-1)/(x-1) ogf] A205086 14.5302 [-(-161+220*x+400*x^2)/(40*x+11)/(x-1)/(10*x-1) lgdogf] A205086 7.15964 [(1551*f(x)+8860)*(10*f(x)*x^2-11*f(x)*x+f(x)-40*x-11) ogf] A205086 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=161} ogf] A205086 8.94955 [-(400*x^2+220*x-161)/(400*x^3-330*x^2-81*x+11) lgdogf] A205087 13.8809 [(50*x+11)/(10*x-1)/(x-1) ogf] A205087 14.5302 [-(-171+220*x+500*x^2)/(50*x+11)/(x-1)/(10*x-1) lgdogf] A205087 7.08506 [(1661*f(x)+10970)*(10*f(x)*x^2-11*f(x)*x+f(x)-50*x-11) ogf] A205087 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=171} ogf] A205087 8.94955 [-(500*x^2+220*x-171)/(500*x^3-440*x^2-71*x+11) lgdogf] A205088 13.8809 [(60*x+11)/(10*x-1)/(x-1) ogf] A205088 14.5302 [-(-181+220*x+600*x^2)/(60*x+11)/(x-1)/(10*x-1) lgdogf] A205088 7.08506 [(1771*f(x)+13280)*(10*f(x)*x^2-11*f(x)*x+f(x)-60*x-11) ogf] A205088 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=11,a(1)=181} ogf] A205088 8.94955 [-(-600*x^2-220*x+181)/(-600*x^3+550*x^2+61*x-11) lgdogf] A205163 10.2416 [-3*(53-390*x+1125*x^2)/(15*x-1)/(3*x-1)/(75*x-13) lgdogf] A205163 10.4679 [-(75*x-13)/(-1+15*x)/(3*x-1) ogf] A205163 5.28793 [-(188*f(x)+365)*(45*f(x)*x^2-18*f(x)*x+f(x)+75*x-13) ogf] A205163 5.89574 [{a(n+2)-18*a(n+1)+45*a(n),a(0)=13,a(1)=159} ogf] A205163 6.33246 [-(-3375*x^2+1170*x-159)/(-3375*x^3+1935*x^2-309*x+13) lgdogf] A205164 5.15748 [-(392*x^3-1466*x^2+1379*x-159)/(2*x^2-5*x+1)/(42*x^2-57*x+1) ogf] A205183 11.7477 [-(-x^4-2*x^3-x^2-x-2)/(-x^5+1) ogf_with_Euler_transform] A205184 7.42391 [-(9*x^7+x^6-x^5+3*x^4+x^3+3*x^2+8*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2+1) ogf] A205185 11.7184 [-2*(4+x+x^5+10*x^4-5*x^3-2*x^2)/(x-1)/(x+1)/(x^2+7*x+1)/(x^2-x+1) lgdogf] A205185 11.7566 [-(x^2+7*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A205185 5.92686 [-(739*f(x)+47520)*(f(x)*x^4-f(x)*x^3+f(x)*x+x^2-f(x)+7*x+1) ogf] A205186 4.98226 [-(1032*f(x)-2441)*(16*f(x)*x^4-8*f(x)*x^2+64*x^3+4*x^2+f(x)-40*x-16) ogf] A205186 8.23655 [-2*(-5-31*x+32*x^4+4*x^3-36*x^2)/(2*x+1)/(2*x-1)/(16*x^3+x^2-10*x-4) lgdogf] A205186 8.30378 [-4*(16*x^3+x^2-10*x-4)/(2*x-1)^2/(2*x+1)^2 ogf] A205187 10.2982 [(7*f(x)-76)*(3*f(x)*x^2-f(x)+24*x+16) ogf] A205187 10.9223 [{-a(n+2)+3*a(n),a(0)=16,a(1)=24} ogf] A205187 11.0904 [-(9*x^2+12*x+3)/(9*x^3+6*x^2-3*x-2) lgdogf] A205187 16.7645 [-8*(3*x+2)/(3*x^2-1) ogf] A205187 20.7944 [-3*(x+1)*(3*x+1)/(3*x+2)/(3*x^2-1) lgdogf] A205188 5.96126 [(42067*f(x)+378956)*(f(x)*x^4-4*x^4+2*f(x)*x^2+32*x^3+28*x^2-f(x)+64*x+48) ogf] A205188 8.59383 [2*(8+31*x+4*x^6+9*x^5+16*x^4+22*x^3+28*x^2)/(x^4-8*x^3-7*x^2-16*x-12)/(x^4+2*x^2-1) lgdogf] A205188 9.44512 [4*(x^4-8*x^3-7*x^2-16*x-12)/(x^4+2*x^2-1) ogf] A205189 8.21091 [8*(x^5-8*x^3+2*x^2-4*x-9)/(x^4-x^3+x^2+x-1) ogf] A205189 8.43276 [(13+14*x+x^8-2*x^7+11*x^6+x^4+12*x^3+3*x^2)/(x^4-x^3+x^2+x-1)/(x^5-8*x^3+2*x^2-4*x-9) lgdogf] A205190 6.36544 [4*(9*x^8+10*x^7+12*x^6-32*x^5-38*x^4-12*x^3-x^2-42*x-36)/(x^6+2*x^2-1) ogf] A205191 4.66629 [8*(8*x^9+8*x^8+10*x^7+x^6-33*x^5+x^4-17*x^3+13*x^2-7*x-27)/(x^3-x^2+1)/(x^3+x-1) ogf] A205192 4.43195 [4*(56*x^12+88*x^11+161*x^10+110*x^9+92*x^8-128*x^7-192*x^6-80*x^5-38*x^4+4*x^3+39*x^2-110*x-108)/(x^8+2*x^2-1) ogf] A205219 10.2268 [-(-12*x^2-16*x-5)/(-12*x^3-11*x^2+x+2) lgdogf] A205219 15.1179 [-4*(3*x+2)/(4*x^2+x-1) ogf] A205219 18.9511 [-(6*x+5)*(2*x+1)/(3*x+2)/(4*x^2+x-1) lgdogf] A205219 7.55893 [-(21*f(x)-68)*(4*f(x)*x^2+f(x)*x-f(x)+12*x+8) ogf] A205219 8.37858 [{-a(n+2)+a(n+1)+4*a(n),a(0)=8,a(1)=20} ogf] A205220 14.4881 [-4*(8*x+5)/(4*x^2+x-1) ogf] A205220 18.0516 [-(13+40*x+32*x^2)/(8*x+5)/(4*x^2+x-1) lgdogf] A205220 7.56602 [(53*f(x)-384)*(4*f(x)*x^2+f(x)*x-f(x)+32*x+20) ogf] A205220 8.10646 [{a(n+2)-a(n+1)-4*a(n),a(0)=20,a(1)=52} ogf] A205220 9.86874 [-(-32*x^2-40*x-13)/(-32*x^3-28*x^2+3*x+5) lgdogf] A205221 3.79903 [4*(16*x^8-52*x^7-284*x^6+237*x^5+302*x^4-129*x^3-107*x^2+20*x+13)/(8*x^8+48*x^7-64*x^6-40*x^5+47*x^4+11*x^3-12*x^2-x+1) ogf] A205248 10.1371 [-(-9*x^2+12*x-5)/(-9*x^3+18*x^2-11*x+2) lgdogf] A205248 14.4507 [-8*(3*x-2)/(3*x-1)/(x-1) ogf] A205248 18.0083 [-(5-12*x+9*x^2)/(x-1)/(3*x-1)/(3*x-2) lgdogf] A205248 7.14929 [-(121*f(x)+564)*(3*f(x)*x^2-4*f(x)*x+f(x)+24*x-16) ogf] A205248 8.08552 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=16,a(1)=40} ogf] A205249 4.93836 [-(39127*f(x)+275208)*(2*f(x)*x^3-7*f(x)*x^2+6*f(x)*x+24*x^2-f(x)-72*x+40) ogf] A205249 5.36044 [{-a(n+3)+6*a(n+2)-7*a(n+1)+2*a(n),a(0)=40,a(1)=168,a(2)=752} ogf] A205249 9.60927 [-(21-64*x+6*x^4-36*x^3+75*x^2)/(x-1)/(2*x^2-5*x+1)/(3*x^2-9*x+5) lgdogf] A205249 9.79955 [-8*(3*x^2-9*x+5)/(2*x^2-5*x+1)/(x-1) ogf] A205250 3.45781 [(30695437*f(x)+521730520)*(6*f(x)*x^4-21*f(x)*x^3+24*f(x)*x^2+120*x^3-10*f(x)*x-380*x^2+f(x)+368*x-112) ogf] A205250 6.40480 [-4*(3*x-2)*(10*x^2-25*x+14)/(x-1)/(6*x^3-15*x^2+9*x-1) ogf] A205251 3.92783 [-8*(36*x^5-244*x^4+580*x^3-600*x^2+270*x-41)/(x-1)/(8*x^5-48*x^4+92*x^3-65*x^2+16*x-1) ogf] A205257 4.11779 [-2*(256*x^6+352*x^5-180*x^4-565*x^3-582*x^2-187*x-120)/(16*x^7+20*x^6-14*x^5-34*x^4-32*x^3-7*x^2-6*x+1) ogf] A205295 2.51841 [(f(x)-1)^2 ogf] A205312 4.77055 [-(39127*f(x)+137604)*(2*f(x)*x^3-7*f(x)*x^2+6*f(x)*x+12*x^2-f(x)-36*x+20) ogf] A205312 5.22292 [{-a(n+3)+6*a(n+2)-7*a(n+1)+2*a(n),a(0)=20,a(1)=84,a(2)=376} ogf] A205312 9.27627 [-(21-64*x-36*x^3+6*x^4+75*x^2)/(x-1)/(2*x^2-5*x+1)/(3*x^2-9*x+5) lgdogf] A205312 9.46655 [-4*(3*x^2-9*x+5)/(2*x^2-5*x+1)/(x-1) ogf] A205313 3.82228 [(30695437*f(x)+260865260)*(6*f(x)*x^4-21*f(x)*x^3+24*f(x)*x^2+60*x^3-10*f(x)*x-190*x^2+f(x)+184*x-56) ogf] A205313 7.15567 [-2*(3*x-2)*(10*x^2-25*x+14)/(x-1)/(6*x^3-15*x^2+9*x-1) ogf] A205314 3.95782 [-4*(36*x^5-244*x^4+580*x^3-600*x^2+270*x-41)/(x-1)/(8*x^5-48*x^4+92*x^3-65*x^2+16*x-1) ogf] A205328 10.6757 [2*(2*x^2-8*x-7)/(8*x^2+4*x-1) ogf] A205328 13.0723 [36*(x+1)*(2*x+1)/(8*x^2+4*x-1)/(2*x^2-8*x-7) lgdogf] A205328 5.53927 [{-a(n+3)+4*a(n+2)+8*a(n+1),a(0)=14,a(1)=72,a(2)=396} ogf] A205328 5.99146 [(51*f(x)-202)*(8*f(x)*x^2+4*f(x)*x-4*x^2-f(x)+16*x+14) ogf] A205328 7.33954 [-(72*x^2+108*x+36)/(-16*x^4+56*x^3+90*x^2+20*x-7) lgdogf] A205329 11.9154 [-18*(9*x+4)/(18*x^2+6*x-1) ogf] A205329 13.6260 [-3*(11+48*x+54*x^2)/(9*x+4)/(18*x^2+6*x-1) lgdogf] A205329 5.83855 [-(2284*f(x)-32679)*(18*f(x)*x^2+6*f(x)*x-f(x)+162*x+72) ogf] A205329 6.78901 [{a(n+2)-6*a(n+1)-18*a(n),a(0)=72,a(1)=594} ogf] A205329 7.88993 [-(-162*x^2-144*x-33)/(-162*x^3-126*x^2-15*x+4) lgdogf] A205342 11.6251 [(3*x^2+3*x+2)/(x-1)^4 ogf] A205342 13.8298 [-(-6*x^2-15*x-11)/(-3*x^3+x+2) lgdogf] A205342 21.8688 [-(11+15*x+6*x^2)/(x-1)/(3*x^2+3*x+2) lgdogf] A205342 4.35941 [{(-2*n-8)*a(n+4)+(8-n)*a(n+3)+15*a(n+2)+(9+3*n)*a(n+1),a(0)=2,a(1)=11,a(2)=35,a(3)=82} ogf] A205342 5.64881 [(4024320*f(x)+13045901)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-3*x-2) ogf] A205343 10.9592 [-(-6*x^2-40*x-69)/(-2*x^3-7*x^2-3*x+12) lgdogf] A205343 19.5616 [-(69+40*x+6*x^2)/(x-1)/(2*x^2+9*x+12) lgdogf] A205343 3.59935 [{(-36-12*n)*a(n+4)+(75+3*n)*a(n+3)+(47+7*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=24,a(2)=138,a(3)=454} ogf] A205343 8.63844 [-2*x*(2*x^2+9*x+12)/(x-1)^5 ogf] A205344 6.29416 [(5*x^4+73*x^3+206*x^2+63*x+5)/(x-1)^6 ogf] A205344 9.38648 [-(93+10*x^4+239*x^3+727*x+1043*x^2)/(x-1)/(5*x^4+73*x^3+206*x^2+63*x+5) lgdogf] A205345 5.24652 [-2*x*(3*x^4+129*x^3+730*x^2+684*x+136)/(x-1)^7 ogf] A205345 8.52794 [-(1636+9*x^4+528*x^3+5564*x+4037*x^2)/(x-1)/(3*x^4+129*x^3+730*x^2+684*x+136) lgdogf] A205347 3.03023 [(3024*x^8-26664*x^7-19371*x^6+4022*x^5+5023*x^4+1416*x^3+11*x^2-110*x-15)/(3*x^2-1)/(3024*x^6+552*x^5-423*x^4-248*x^3-66*x^2+1) ogf] A205354 13.0876 [-2*(10*x-7)/(4*x-1)/(x-1) ogf] A205354 15.0688 [-(25-56*x+40*x^2)/(x-1)/(4*x-1)/(10*x-7) lgdogf] A205354 6.5438 [-(69*f(x)+284)*(4*f(x)*x^2-5*f(x)*x+f(x)+20*x-14) ogf] A205354 7.32282 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=14,a(1)=50} ogf] A205354 8.78739 [-(-40*x^2+56*x-25)/(-40*x^3+78*x^2-45*x+7) lgdogf] A205355 3.42335 [(92160485*f(x)+3335038221)*(84*f(x)*x^4-146*f(x)*x^3+76*f(x)*x^2+882*x^3-15*f(x)*x-1237*x^2+f(x)+475*x-50) ogf] A205355 6.31419 [-(882*x^3-1237*x^2+475*x-50)/(x-1)/(6*x-1)/(14*x^2-8*x+1) ogf] A205356 4.61885 [-2*(5652*x^4-10812*x^3+6609*x^2-1450*x+97)/(x-1)/(9*x-1)/(4*x-1)/(12*x^2-9*x+1) ogf] A205382 4.89040 [8*(x^2-x+1)*(x^12+2*x^11+4*x^10+3*x^9+4*x^8+4*x^7+7*x^6+4*x^5+4*x^4+3*x^3+4*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A205383 5.65847 [-(x^7+8*x^6+4*x^5+8*x^4+2*x^3+8*x^2+4*x+8)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A205424 4.75197 [(144*x^5-952*x^4-1335*x^3-327*x^2+87*x+15)/(9*x-1)/(4*x^2+x-1)/(12*x^2+9*x+1) ogf] A205425 2.75244 [(1255523021835003*f(x)-14918370546807488)*(192*f(x)*x^4+108*f(x)*x^3-37*f(x)*x^2+1792*x^3-16*f(x)*x+1344*x^2+f(x)-30*x-102) ogf] A205425 5.47497 [-2*(896*x^3+672*x^2-15*x-51)/(4*x^2+x-1)/(48*x^2+15*x-1) ogf] A205433 4.11356 [-(4914*x^5-3561*x^4-1216*x^3+1166*x^2-238*x+15)/(x-1)/(6*x-1)/(3*x-1)/(7*x-1)/(9*x^2+4*x-1) ogf] A205468 5.14329 [-(180*x^5+105*x^4-264*x^3-37*x^2+78*x-14)/(3*x-1)/(x-1)/(6*x^2+3*x-1)/(2*x^2+2*x-1) ogf] A205492 4.65566 [-(x^5-x^4-x^3-x^2+1)/(x^3-x^2-2*x+1)/(x^2+x-1)^2/(x-1)^3 ogf] A205513 4.41476 [-3*(22*x^6+18*x^5+12*x^4-202*x^3-75*x^2-120*x-27)/(4*x^7+3*x^6+2*x^5-39*x^4-6*x^3-18*x^2+1) ogf] A205579 12.9393 [(x+1)*(x^11-x^10-x^8+x^7-x^6+x^5-x^4+x^3-x^2-1)/(x^3+x^2-1) ogf] A205583 4.63402 [(72*x^6-330*x^5-55*x^4+98*x^3+119*x^2+74*x+14)/(144*x^6-12*x^5-50*x^4-44*x^3-21*x^2+1) ogf] A205584 3.88638 [-2*(1125*x^6+165*x^5-541*x^4+286*x^3+397*x^2+164*x+37)/(250*x^7+30*x^6-107*x^5+83*x^4+82*x^3+24*x^2+3*x-1) ogf] A205620 3.97792 [(10333801*f(x)-34377554)*(28*f(x)*x^4-40*f(x)*x^3-14*x^4-40*f(x)*x^2+440*x^3-52*x^2+f(x)-306*x-50) ogf] A205620 6.60073 [2*(7*x^4-220*x^3+26*x^2+153*x+25)/(28*x^4-40*x^3-40*x^2+1) ogf] A205621 3.1956 [(223914290495587*f(x)-9575074504813960)*(112*f(x)*x^4-48*f(x)*x^3-344*x^4-72*f(x)*x^2+4584*x^3+900*x^2+f(x)-1512*x-194) ogf] A205621 5.66642 [2*(172*x^4-2292*x^3-450*x^2+756*x+97)/(112*x^4-48*x^3-72*x^2+1) ogf] A205627 5.82754 [-6*(128*x^4+56*x^3-78*x^2-21*x+12)/(2*x-1)/(2*x^2-1)/(8*x^2+4*x-1) ogf] A205646 16.1647 [-(49*x-17)/(3*x-1)/(x-1) ogf] A205646 8.08237 [-(26*f(x)-803)*(3*f(x)*x^2-4*f(x)*x+f(x)+49*x-17) ogf] A205646 9.04455 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=17,a(1)=19} ogf] A205646 9.99661 [-(-147*x^2+102*x-19)/(-147*x^3+247*x^2-117*x+17) lgdogf] A205650 6.28638 [-(9*x^11+8*x^10+3*x^9+x^8+3*x^7+8*x^6+9*x^5+x^4+6*x^3+8*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A205651 11.0331 [-(9*x^4+4*x^3+5*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A205671 14.8642 [-x-1+exp(2*x) revegf] A205671 42.0154 [-1-x+exp(2*x) revegf] A205737 3.90504 [-3*(14*x^6-75*x^5+123*x^4-212*x^3+33*x^2+120*x-27)/(x-1)/(x^3-x^2+4*x-1)/(2*x^3-7*x^2-4*x+1) ogf] A205802 5.86640 [72*(x^7+57657600)/(3*x^11-11440*x^9-72*x^8+72*x^7+172972800*x^4-4151347200*x+4151347200) egf] A205806 17.5194 [-exp(-x)+cos(x) revegf] A205806 45.9333 [-exp(-x)+cos(x) revegf] A205817 3.92862 [-(57589*f(x)+1403709)*(2*f(x)*x^4-4*f(x)*x^3-f(x)*x^2+54*x^3+4*f(x)*x-84*x^2-f(x)-48*x+66) ogf] A205817 6.41474 [-(36-50*x+18*x^6-56*x^5+17*x^4+80*x^3-41*x^2)/(x-1)/(1+x)/(2*x^2-4*x+1)/(9*x^3-14*x^2-8*x+11) lgdogf] A205817 7.51772 [-6*(9*x^3-14*x^2-8*x+11)/(x-1)/(x+1)/(2*x^2-4*x+1) ogf] A205818 3.79713 [-6*(23*x^7+5*x^6-197*x^5-188*x^4+187*x^3+177*x^2-29*x-30)/(x^2+x-1)/(2*x^6-2*x^5-14*x^4+11*x^2+2*x-1) ogf] A205824 3.69854 [{(-27*n^3-189*n^2-438*n-336)*a(n+1)+(n^2+7*n+12)*a(n+2),a(0)=1,a(1)=10} ogf] A205825 4.33859 [{(-2*n^3-14*n^2-32*n-24)*a(n+1)+(2*n+6)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A205829 10.1207 [-3*(3*x^2-3*x+10)/(x^3-x^2+4*x-1) ogf] A205829 10.2519 [-(37-14*x+3*x^4-6*x^3+21*x^2)/(3*x^2-3*x+10)/(x^3-x^2+4*x-1) lgdogf] A205829 5.27295 [(5497*f(x)-52662)*(f(x)*x^3-f(x)*x^2+4*f(x)*x+9*x^2-f(x)-9*x+30) ogf] A205829 5.36309 [{a(n+3)-4*a(n+2)+a(n+1)-a(n),a(0)=30,a(1)=111,a(2)=423} ogf] A205830 4.13869 [{a(n+4)-7*a(n+3)+8*a(n+2)-6*a(n+1),a(0)=111,a(1)=630,a(2)=3642,a(3)=21126} ogf] A205830 4.16783 [-(3503615*f(x)+33815583)*(6*f(x)*x^3-8*f(x)*x^2+6*x^3+7*f(x)*x+120*x^2-f(x)-147*x+111) ogf] A205830 7.16117 [-2*(105-256*x+128*x^4-308*x^3+392*x^2)/(6*x^3-8*x^2+7*x-1)/(2*x^3+40*x^2-49*x+37) lgdogf] A205830 7.89109 [-3*(2*x^3+40*x^2-49*x+37)/(6*x^3-8*x^2+7*x-1) ogf] A205919 4.33196 [-(116*x^6+448*x^5+509*x^4+86*x^3+71*x^2+313*x+76)/(8*x^7+28*x^6+26*x^5-2*x^4+3*x^3+18*x^2+x-1) ogf] A205960 4.26909 [(90*x^17-90*x^16+90*x^15-90*x^14+90*x^13-90*x^12+90*x^11-90*x^10-8*x^8+10*x^7-8*x^6+10*x^5-8*x^4+10*x^3-8*x^2+10*x+1)/(x-1)/(10*x^9-1) ogf] A205961 10.8488 [-(1+8*x+160*x^4-24*x^2)/(4*x^2-1+x+32*x^5-8*x^3) lgdogf] A205961 11.6071 [-1/(32*x^5-8*x^3+4*x^2+x-1) ogf] A205979 4.11356 [-3*(14*x^6+9*x^5+30*x^4+13*x^3+192*x^2+87*x+27)/(2*x^7+x^6+3*x^5+x^4+35*x^3+10*x^2+2*x-1) ogf] A205980 3.91162 [3*(96*x^8+220*x^7-134*x^6-666*x^5-775*x^4+214*x^3+1021*x^2+519*x+141)/(4*x^7+12*x^6-5*x^4-26*x^3-7*x^2-x+1) ogf] A205981 4.13928 [-3*(832*x^8-11820*x^7-2312*x^6-14120*x^5-23943*x^4-9974*x^3+9020*x^2+2668*x+744)/(8*x^5+60*x^3-1) ogf] A205982 4.13513 [-6*(784*x^8-3136*x^7-15904*x^6-156996*x^5-166592*x^4-92104*x^3+17333*x^2+5584*x+1928)/(84*x^3-1) ogf] A205991 6.78818 [-2*(4*x^4-7*x^3+8*x^2+20*x+13)/(x^5-2*x^4+3*x^3+5*x^2+2*x-1) ogf] A206003 5.48213 [{-a(n+4)+8*a(n+2)+4*a(n+1),a(0)=24,a(1)=78,a(2)=228,a(3)=722} ogf] A206003 5.48214 [-(1488223*f(x)-5170254)*(4*f(x)*x^3+8*f(x)*x^2+2*x^3+36*x^2-f(x)+78*x+24) ogf] A206003 9.08654 [-(39+228*x+64*x^4+312*x^3+459*x^2)/(4*x^3+8*x^2-1)/(x^3+18*x^2+39*x+12) lgdogf] A206003 9.67435 [-2*(x^3+18*x^2+39*x+12)/(4*x^3+8*x^2-1) ogf] A206004 3.64492 [-2*(13*x^8-48*x^7+x^6+293*x^5-48*x^4-414*x^3-317*x^2+72*x+39)/(x^9-4*x^8+x^7+23*x^6-9*x^5-34*x^4-17*x^3+13*x^2+2*x-1) ogf] A206012 5.14737 [(x^15-x^13+x^12-2*x^10-2*x^9+2*x^8-x^7-3*x^6-4*x^5+3*x^4+x^3+x^2+x+1)/(x^15-3*x^10-6*x^5+1) ogf] A206014 12.3078 [-8*(20*x+13)/(10*x^2+5*x-1) ogf] A206014 13.7184 [-5*(17+52*x+40*x^2)/(20*x+13)/(10*x^2+5*x-1) lgdogf] A206014 6.47777 [(137*f(x)-2688)*(10*f(x)*x^2+5*f(x)*x-f(x)+160*x+104) ogf] A206014 7.07343 [{a(n+2)-5*a(n+1)-10*a(n),a(0)=104,a(1)=680} ogf] A206014 8.20517 [-(-200*x^2-260*x-85)/(-200*x^3-230*x^2-45*x+13) lgdogf] A206015 4.25211 [-8*(512*x^4-1664*x^3+568*x^2+229*x-85)/(2*x-1)/(32*x^4-92*x^3+x^2+12*x-1) ogf] A206047 4.36992 [(3144131*f(x)+8249970)*(2*f(x)*x^3-7*f(x)*x^2-4*f(x)*x+18*x^2+f(x)-63*x-48) ogf] A206047 4.66619 [{a(n+3)-4*a(n+2)-7*a(n+1)+2*a(n),a(0)=48,a(1)=255,a(2)=1338} ogf] A206047 7.92401 [-(85+212*x+12*x^4-84*x^3+75*x^2)/(6*x^2-21*x-16)/(2*x^3-7*x^2-4*x+1) lgdogf] A206047 8.60328 [-3*(6*x^2-21*x-16)/(2*x^3-7*x^2-4*x+1) ogf] A206048 4.59816 [-3*(36*x^5-54*x^4+135*x^3-215*x^2+5*x+85)/(4*x^6-6*x^5+15*x^4-24*x^3+x^2+9*x-1) ogf] A206065 3.96587 [-(26001602453*f(x)-1055439397302)*(2*f(x)*x^4+45*x^4-f(x)*x^2+54*x^3+4*f(x)*x+18*x^2-f(x)-174*x+81) ogf] A206065 6.43967 [-2*(25-21*x+18*x^6+27*x^5-255*x^4+66*x^3+44*x^2)/(2*x^4-x^2+4*x-1)/(15*x^4+18*x^3+6*x^2-58*x+27) lgdogf] A206065 7.59725 [-3*(15*x^4+18*x^3+6*x^2-58*x+27)/(2*x^4-x^2+4*x-1) ogf] A206066 6.74483 [6*(16*x^5+16*x^4+12*x^3+48*x^2-74*x+25)/(8*x^2-7*x+1) ogf] A206067 3.81616 [3*(192*x^8-960*x^7-728*x^6-96*x^5+1935*x^4-3884*x^3+3702*x^2-1396*x+179)/(47*x^4-82*x^3+56*x^2-14*x+1) ogf] A206078 3.64438 [(564537867*f(x)+3585558349)*(2*f(x)*x^4-4*f(x)*x^3+13*f(x)*x^2+32*x^3+6*f(x)*x-64*x^2-f(x)+216*x+124) ogf] A206078 6.98506 [-4*(8*x^3-16*x^2+54*x+31)/(2*x^4-4*x^3+13*x^2+6*x-1) ogf] A206087 3.97818 [(332*f(x)+5607)*(36*f(x)*x^4-12*f(x)*x^3+f(x)*x^2+1026*x^3-4*f(x)*x+27*x^2+f(x)+54*x-81) ogf] A206087 6.71894 [-2*(5-4*x+684*x^6+36*x^5+83*x^4-88*x^3)/(2*x-1)/(38*x^3+x^2+2*x-3)/(18*x^3+3*x^2+2*x-1) lgdogf] A206087 7.02031 [-27*(38*x^3+x^2+2*x-3)/(2*x-1)/(18*x^3+3*x^2+2*x-1) ogf] A206088 5.77764 [6*(80*x^5-82*x^4-304*x^3-64*x^2+85*x+45)/(x-1)/(10*x^3+6*x^2-1) ogf] A206089 7.20129 [-12*(368*x^5-208*x^4-346*x^3+380*x^2+168*x+81)/(18*x^3-1) ogf] A206090 5.91832 [12*(1152*x^6+768*x^5+5872*x^4+6030*x^3-1112*x^2-496*x-297)/(34*x^3-1) ogf] A206091 4.72535 [24*(3200*x^7+3840*x^6+3072*x^5+27896*x^4+31926*x^3-1408*x^2-749*x-567)/(66*x^3-1) ogf] A206092 3.99901 [12*(165888*x^8+92160*x^7+95744*x^6+55040*x^5+409968*x^4+535090*x^3-7208*x^2-4536*x-4401)/(130*x^3-1) ogf] A206111 3.92592 [-4*(2304*x^6+1836*x^5-3516*x^4-2877*x^3-238*x^2-35*x+64)/(4*x^2+2*x-1)/(36*x^5+4*x^4-55*x^3-7*x^2-3*x+1) ogf] A206112 3.57590 [4*(3645*x^7-1206*x^6-16011*x^5-1778*x^4+9967*x^3+2373*x^2-737*x-285)/(x-1)/(x^2+x-1)/(45*x^3+19*x^2-1) ogf] A206113 5.72350 [-4*(151065*x^5-48320*x^4-43105*x^3+22149*x^2+5656*x+1507)/(115*x^3-1) ogf] A206114 4.88326 [4*(4418640*x^6+930240*x^5+3191832*x^4+1191063*x^3-130200*x^2-27888*x-7939)/(309*x^3-1) ogf] A206121 3.92861 [-2*(x^8+32*x^7+10*x^6-31*x^5+325*x^4+485*x^3+216*x^2-35*x-25)/(4*x^3+8*x^2-1)/(x^5-2*x^4+3*x^3+5*x^2+2*x-1) ogf] A206130 3.72599 [(34160495297*f(x)-9047126848514)*(4*f(x)*x^3-288*x^4-11*f(x)*x^2+104*x^3+8*f(x)*x+1396*x^2-f(x)-1484*x+256) ogf] A206130 3.74913 [{a(n+5)-8*a(n+4)+11*a(n+3)-4*a(n+2),a(0)=256,a(1)=564,a(2)=3092,a(3)=19660,a(4)=125236} ogf] A206130 6.70678 [4*(72*x^4-26*x^3-349*x^2+371*x-64)/(x-1)/(4*x^2-7*x+1) ogf] A206131 4.91166 [4*(5*x-3)*(36*x^3-148*x^2+165*x-47)/(x-1)/(10*x^3-31*x^2+16*x-1) ogf] A206143 13.0365 [3*(6*x^2+61*x-27)/(3*x-1) ogf] A206143 15.6519 [2*(10-6*x+9*x^2)/(3*x-1)/(6*x^2+61*x-27) lgdogf] A206143 7.25895 [{-a(n+3)+3*a(n+2),a(0)=81,a(1)=60,a(2)=162} ogf] A206143 7.98486 [(f(x)-56)*(3*f(x)*x-18*x^2-f(x)-183*x+81) ogf] A206143 8.75052 [-(18*x^2-12*x+20)/(-18*x^3-177*x^2+142*x-27) lgdogf] A206144 10.3246 [6*(x-2)*(2*x-5)/(2*x^2-5*x+1) ogf] A206144 13.1673 [(41-36*x+8*x^2)/(2*x-5)/(x-2)/(2*x^2-5*x+1) lgdogf] A206144 5.35348 [{a(n+3)-5*a(n+2)+2*a(n+1),a(0)=60,a(1)=246,a(2)=1122} ogf] A206144 5.61336 [-(169*f(x)-54)*(2*f(x)*x^2-5*f(x)*x-12*x^2+f(x)+54*x-60) ogf] A206144 7.41251 [-(8*x^2-36*x+41)/(-4*x^4+28*x^3-67*x^2+59*x-10) lgdogf] A206145 4.26062 [-(1897807*f(x)+30849720)*(6*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+144*x^2-f(x)-336*x+162) ogf] A206145 4.75359 [{-a(n+3)+9*a(n+2)-15*a(n+1)+6*a(n),a(0)=162,a(1)=1122,a(2)=7812} ogf] A206145 7.51496 [-(187-762*x+144*x^4-672*x^3+1110*x^2)/(24*x^2-56*x+27)/(6*x^3-15*x^2+9*x-1) lgdogf] A206145 8.45859 [-6*(24*x^2-56*x+27)/(6*x^3-15*x^2+9*x-1) ogf] A206146 4.81423 [-6*(64*x^4-376*x^3+692*x^2-443*x+81)/(8*x^5-48*x^4+92*x^3-65*x^2+16*x-1) ogf] A206163 3.26071 [(2688*x^6-10032*x^5-3536*x^4+8345*x^3+2373*x^2-985*x-85)/(4*x^2+x-1)/(288*x^4-180*x^3-213*x^2+1) ogf] A206170 3.30084 [(533797460*f(x)-26401219587)*(108*f(x)*x^4-192*f(x)*x^3+101*f(x)*x^2+576*x^3-18*f(x)*x-626*x^2+f(x)+185*x-15) ogf] A206170 6.13012 [-(576*x^3-626*x^2+185*x-15)/(x-1)/(6*x-1)/(9*x-1)/(2*x-1) ogf] A206171 3.53663 [-2*(2997*x^5-927*x^4-1938*x^3+398*x^2+281*x-51)/(3*x-1)/(x-1)/(27*x^2+12*x-1)/(3*x^2-1) ogf] A206190 3.73942 [(314713829*f(x)-1282094424)*(2*f(x)*x^4+4*f(x)*x^3-7*f(x)*x^2+32*x^3+9*f(x)*x+64*x^2-f(x)-104*x+124) ogf] A206190 7.20852 [-4*(8*x^3+16*x^2-26*x+31)/(2*x^4+4*x^3-7*x^2+9*x-1) ogf] A206198 5.36110 [4*(5440*x^6+7224*x^5-3234*x^4-1830*x^3-1284*x^2-265*x-64)/(100*x^3-1) ogf] A206199 5.83296 [4*(64*x^5-170*x^4+567*x^3-82*x^2+72*x-64)/(2*x^5-5*x^4+17*x^3+3*x-1) ogf] A206200 4.24808 [4*(3*x^8+9*x^7-17*x^6-41*x^5-38*x^4+109*x^3-392*x^2-265*x-120)/(x^7+x^6+x^5-3*x^4+14*x^3+3*x^2-1) ogf] A206208 4.21394 [(664*f(x)+1537)*(36*f(x)*x^4-12*f(x)*x^3-18*x^4+f(x)*x^2+177*x^3-4*f(x)*x+4*x^2+f(x)+11*x-14) ogf] A206208 6.62292 [9*(5-4*x+684*x^6+36*x^5+83*x^4-88*x^3)/(2*x-1)/(18*x^3+3*x^2+2*x-1)/(18*x^4-177*x^3-4*x^2-11*x+14) lgdogf] A206208 7.19117 [(18*x^4-177*x^3-4*x^2-11*x+14)/(2*x-1)/(18*x^3+3*x^2+2*x-1) ogf] A206209 6.54489 [(80*x^5-82*x^4-304*x^3-64*x^2+85*x+45)/(x-1)/(10*x^3+6*x^2-1) ogf] A206210 7.57558 [-2*(368*x^5-208*x^4-346*x^3+380*x^2+168*x+81)/(18*x^3-1) ogf] A206211 6.09205 [2*(1152*x^6+768*x^5+5872*x^4+6030*x^3-1112*x^2-496*x-297)/(34*x^3-1) ogf] A206212 4.95162 [4*(3200*x^7+3840*x^6+3072*x^5+27896*x^4+31926*x^3-1408*x^2-749*x-567)/(66*x^3-1) ogf] A206213 3.88136 [2*(165888*x^8+92160*x^7+95744*x^6+55040*x^5+409968*x^4+535090*x^3-7208*x^2-4536*x-4401)/(130*x^3-1) ogf] A206231 3.73518 [(378*x^7-2793*x^6-1366*x^5-1585*x^4+720*x^3+5*x^2+60*x-15)/(4*x-1)/(3*x^3+x^2+x-1)/(63*x^3+7*x^2+3*x-1) ogf] A206233 4.89076 [-2*(16860*x^6-22668*x^5+165*x^4+8639*x^3-1660*x^2-413*x-155)/(x-1)/(129*x^3-1) ogf] A206234 4.35620 [8*(107163*x^7-86751*x^6+67251*x^5-54141*x^4-37425*x^3+2680*x^2+511*x+205)/(x-1)/(339*x^3-1) ogf] A206244 18.1282 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A206244 35.3393 [x^10+1 ogf_with_Euler_transform] A206244 8.01783 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+12*x^10)/(x-1)/(1+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x) lgdogf] A206245 18.1282 [1/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A206245 35.3393 [x^10+1 ogf_with_Euler_transform] A206245 8.01783 [-(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+12*x^10)/(x-1)/(1+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x) lgdogf] A206248 4.0326 [-(66050071*f(x)+2160249327)*(27*f(x)*x^3-12*f(x)*x^2-4*f(x)*x+432*x^2+f(x)-165*x-49) ogf] A206248 4.63749 [{-a(n+3)+4*a(n+2)+12*a(n+1)-27*a(n),a(0)=49,a(1)=361,a(2)=1600} ogf] A206248 8.18381 [-(432*x^2-165*x-49)/(3*x+1)/(9*x^2-7*x+1) ogf] A206249 2.97263 [-(956098318934093*f(x)+200151906170367510)*(2025*f(x)*x^4-855*f(x)*x^3+129600*x^3+19*f(x)*x-52695*x^2-f(x)+1170*x+361) ogf] A206249 5.81166 [-(129600*x^3-52695*x^2+1170*x+361)/(45*x^2-1)/(45*x^2-19*x+1) ogf] A206250 3.18618 [-16*(26873856*x^5-5866992*x^4-333072*x^3+108684*x^2-3441*x-100)/(1296*x^3+144*x^2-12*x-1)/(1296*x^3-432*x^2+40*x-1) ogf] A206260 7.01008 [(x^5-14*x^4+18*x^3+18*x^2-40*x+16)/(x^2+x-1)/(x-1)^3 ogf] A206260 7.67207 [(24-76*x+12*x^6-14*x^5-29*x^4+32*x^3+54*x^2)/(x-1)/(x^2+x-1)/(x^5-14*x^4+18*x^3+18*x^2-40*x+16) lgdogf] A206261 7.60442 [(5*x^5-27*x^4+36*x^3+8*x^2-44*x+24)/(x+1)/(x-1)^4 ogf] A206261 9.67071 [4*(-7-x+3*x^5-4*x^4-6*x^3+11*x^2)/(x-1)/(1+x)/(5*x^5-27*x^4+36*x^3+8*x^2-44*x+24) lgdogf] A206262 6.63825 [(11*x^6-58*x^5+102*x^4-43*x^3-72*x^2+92*x-34)/(x+1)/(x-1)^5 ogf] A206263 5.22801 [(20*x^7-114*x^6+240*x^5-184*x^4-89*x^3+265*x^2-186*x+50)/(x+1)/(x-1)^6 ogf] A206264 4.58239 [(36*x^8-232*x^7+591*x^6-683*x^5+144*x^4+543*x^3-668*x^2+339*x-72)/(x+1)/(x-1)^7 ogf] A206265 3.54074 [(60*x^9-436*x^8+1302*x^7-1938*x^6+1135*x^5+791*x^4-1953*x^3+1543*x^2-607*x+105)/(x+1)/(x-1)^8 ogf] A206266 3.51457 [(101*x^10-826*x^9+2862*x^8-5271*x^7+4927*x^6-512*x^5-4340*x^4+5422*x^3-3269*x^2+1058*x-154)/(x+1)/(x-1)^9 ogf] A206268 10.5149 [(x-1)*(2*x^2-1)/(x^2+x-1)^2 ogf] A206268 5.74218 [-(2*f(x)+5)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*x^3-2*f(x)*x+2*x^2+f(x)+x-1) ogf] A206268 9.20053 [-(-2*x^4+6*x^3-3*x^2+x-1)/(-2*x^5+5*x^3-2*x^2-2*x+1) lgdogf] A206270 4.31847 [-3*(88*x^6+174*x^5+431*x^4+476*x^3+249*x^2+102*x+27)/(16*x^7+29*x^6+66*x^5+58*x^4+20*x^3+6*x^2-1) ogf] A206278 10.5092 [128*x^2*(32*x^2-1)/(4*x-1)/(2*x+1)/(2*x-1)/(8*x-1)/(4*x+1) ogf] A206282 7.09986 [(x^7+x^6+x^5+3*x^4+2*x^3+x^2-x-1)/(x-1)/(x^2+x+1)/(x^6+3*x^3+1) ogf] A206300 13.1306 [4*x+f(x)-f(x)^3 ogf] A206300 13.6286 [-x*2^(1/2)/(1+(1+16*x)^(1/2))^(1/2) revogf] A206300 3.54623 [{(108*n^2+216*n+96)*a(n+1)+(-n^2-5*n-6)*a(n+3),a(0)=-1,a(1)=2,a(2)=6} ogf] A206300 7.96448 [-x*2^(1/2)/(1+(1+16*x)^(1/2))^(1/2) revogf] A206304 15.2859 [x-ln(x+1)^2 revegf] A206304 55.2848 [x-ln(1+x)^2 revegf] A206307 3.49037 [{(-4*n^2-26*n-42)*a(n+1)+(-4*n^2-34*n-71)*a(n+2)+a(n+3),a(0)=0,a(1)=6,a(2)=246} ogf] A206308 3.56357 [{(4*n^2+26*n+42)*a(n+1)+(4*n^2+34*n+71)*a(n+2)-a(n+3),a(0)=1,a(1)=19,a(2)=799} ogf] A206320 3.85383 [-4*(8*x^7+154*x^6+500*x^5+511*x^4+482*x^3-78*x^2-240*x+64)/(14*x^7+42*x^6+19*x^5+42*x^4-26*x^3-5*x^2+9*x-1) ogf] A206335 6.91852 [-(9*x^5-9*x^4-340*x^3+569*x^2+11*x-192)/(x-1)/(3*x-1)/(3*x+1) ogf] A206336 5.68681 [(2*x^9+4*x^8-x^7-9*x^6-19*x^5+3*x^4+129*x^3-217*x^2-96*x+192)/(x-1)/(3*x^2-1) ogf] A206337 6.24046 [(2*x^10+2*x^9-3*x^6-3*x^5-x^4+47*x^3-237*x^2+85*x+96)/(x-1)/(3*x^2-1) ogf] A206338 6.52032 [(2*x^11+2*x^10-3*x^5+x^4+11*x^3-257*x^2-223*x+455)/(x-1)/(3*x^2-1) ogf] A206339 4.41408 [(2*x^12+10*x^11+8*x^10-8*x^9+8*x^8-8*x^7+8*x^6-20*x^5+9*x^4+185*x^3-740*x^2+238*x+296)/(x-1)/(3*x^2-1) ogf] A206340 5.44877 [(18*x^13+18*x^12-36*x^6-12*x^5+24*x^4+97*x^3-807*x^2-690*x+1376)/(x-1)/(3*x^2-1) ogf] A206351 10.4003 [(5*x-1)/(x-1)/(x^2-7*x+1) ogf] A206351 10.7846 [-(-3+16*x+10*x^3-43*x^2)/(x-1)/(5*x-1)/(x^2-7*x+1) lgdogf] A206351 4.83522 [-(21171*f(x)+4199)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)-5*x+1) ogf] A206351 4.87800 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=16} ogf] A206351 6.40947 [-(10*x^3-43*x^2+16*x-3)/(5*x^4-41*x^3+48*x^2-13*x+1) lgdogf] A206353 4.19377 [{-a(n+5)+6*a(n+4)+13*a(n+3)-18*a(n+2),a(0)=1,a(1)=4,a(2)=17,a(3)=120,a(4)=884} ogf] A206353 4.19378 [-(169977489*f(x)-28224092)*(18*f(x)*x^3-15*x^4-13*f(x)*x^2+16*x^3-6*f(x)*x+20*x^2+f(x)+2*x-1) ogf] A206353 6.40291 [2*(2-7*x+135*x^6-195*x^5+149*x^4+162*x^3-4*x^2)/(x-1)/(18*x^2+5*x-1)/(15*x^4-16*x^3-20*x^2-2*x+1) lgdogf] A206353 7.72268 [(15*x^4-16*x^3-20*x^2-2*x+1)/(x-1)/(18*x^2+5*x-1) ogf] A206354 4.86064 [-(33*x^5+69*x^4+2*x^3-22*x^2+x+1)/(x-1)/(30*x^4+63*x^3+5*x^2-15*x+1) ogf] A206371 10.2955 [-(-66*x^2+128*x-63)/(-66*x^3+163*x^2-129*x+32) lgdogf] A206371 16.2100 [-(33*x-32)/(x-1)/(2*x-1) ogf] A206371 17.8158 [-(63-128*x+66*x^2)/(x-1)/(2*x-1)/(33*x-32) lgdogf] A206371 8.01967 [-(61*f(x)+2017)*(2*f(x)*x^2-3*f(x)*x+f(x)+33*x-32) ogf] A206371 9.06987 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=32,a(1)=63} ogf] A206372 10.0566 [-(-40*x^2+104*x-55)/(-40*x^3+102*x^2-75*x+13) lgdogf] A206372 15.6198 [-(10*x-13)/(4*x-1)/(x-1) ogf] A206372 17.1766 [-(55-104*x+40*x^2)/(x-1)/(4*x-1)/(10*x-13) lgdogf] A206372 8.06737 [(171*f(x)+802)*(4*f(x)*x^2-5*f(x)*x+f(x)+10*x-13) ogf] A206372 8.73964 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=13,a(1)=55} ogf] A206373 10.9442 [-(-24*x^2+40*x-19)/(-24*x^3+50*x^2-31*x+5) lgdogf] A206373 17.0243 [-(6*x-5)/(4*x-1)/(x-1) ogf] A206373 19.3133 [-(19-40*x+24*x^2)/(6*x-5)/(x-1)/(4*x-1) lgdogf] A206373 8.4186 [-(55*f(x)+86)*(4*f(x)*x^2-5*f(x)*x+f(x)+6*x-5) ogf] A206373 9.23004 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=5,a(1)=19} ogf] A206374 11.0499 [-(-4*x^2+16*x-9)/(-4*x^3+13*x^2-11*x+2) lgdogf] A206374 16.4520 [-(x-2)/(4*x-1)/(x-1) ogf] A206374 20.7848 [-(9-16*x+4*x^2)/(x-1)/(x-2)/(4*x-1) lgdogf] A206374 8.50967 [(29*f(x)+23)*(4*f(x)*x^2-5*f(x)*x+f(x)+x-2) ogf] A206374 9.02856 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=2,a(1)=9} ogf] A206377 4.28775 [-(10320*x^4-16640*x^3+8706*x^2-1691*x+85)/(x-1)/(2*x-1)/(21*x-1)/(24*x^2-12*x+1) ogf] A206384 5.25053 [(405*x^5-571*x^4-326*x^3+160*x^2+17*x-1)/(x-1)/(486*x^3-151*x^2-20*x+1) ogf] A206391 3.86291 [{a(n+5)-6*a(n+4)-18*a(n+3)+32*a(n+2),a(0)=1,a(1)=4,a(2)=26,a(3)=206,a(4)=1592} ogf] A206391 4.13495 [(596704*f(x)-538283)*(32*f(x)*x^3-16*x^4-18*f(x)*x^2-10*x^3-6*f(x)*x+16*x^2+f(x)+2*x-1) ogf] A206391 7.16052 [(16*x^4+10*x^3-16*x^2-2*x+1)/(32*x^3-18*x^2-6*x+1) ogf] A206397 12.1664 [-1/3*x^3+ln(x+1) revegf] A206397 31.9747 [-1/3*x^3+ln(1+x) revegf] A206399 11.3784 [-(x+1)*(x^2+39*x+1)/(x-1)^3 ogf] A206399 11.5409 [-(43*x^2+160*x+43)/(x^4+39*x^3-39*x-1) lgdogf] A206399 18.4444 [-(43+160*x+43*x^2)/(x-1)/(1+x)/(x^2+39*x+1) lgdogf] A206399 5.89682 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=43,a(2)=166,a(3)=371} ogf] A206399 6.31144 [(3740*f(x)-97979)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+40*x^2-f(x)+40*x+1) ogf] A206401 13.4282 [exp(x)-exp(3/2*x^2) revegf] A206401 33.3153 [exp(x)-exp(3/2*x^2) revegf] A206402 16.2255 [exp(x)-exp(2*x^2) revegf] A206402 41.3153 [exp(x)-exp(2*x^2) revegf] A206404 14.3314 [-exp(-x)+exp(-x^2) revegf] A206404 37.5748 [-exp(-x)+exp(-x^2) revegf] A206407 3.69427 [-(8141495*f(x)+124700676)*(4*f(x)*x^4+f(x)*x^3-17*f(x)*x^2+84*x^3+9*f(x)*x+27*x^2-f(x)-306*x+81) ogf] A206407 7.16599 [-3*(28*x^3+9*x^2-102*x+27)/(4*x^2-7*x+1)/(x^2+2*x-1) ogf] A206408 3.81210 [-3*(170*x^5-689*x^4+298*x^3+1266*x^2-946*x+141)/(10*x^3-31*x^2+16*x-1)/(x^3-x^2-3*x+1) ogf] A206417 10.4051 [-(2*x^3+9*x^2-7)/(x^4+3*x^3-2*x^2-5*x+3) lgdogf] A206417 16.1386 [x*(x+3)/(x^2+x-1)/(x-1) ogf] A206417 18.5704 [-(1+x)*(2*x^2+7*x-7)/(x-1)/(x+3)/(x^2+x-1) lgdogf] A206417 8.50313 [(375*f(x)+329)*(f(x)*x^3-2*f(x)*x-x^2+f(x)-3*x) ogf] A206417 8.50313 [{a(n+3)-2*a(n+2)+a(n),a(0)=0,a(1)=3,a(2)=7} ogf] A206419 11.6598 [-(4*x^2-22*x-7)/(4*x^3-7*x^2-15*x+11) lgdogf] A206419 16.9828 [(4*x-11)/(x^2+x-1) ogf] A206419 21.9107 [-(-7-22*x+4*x^2)/(4*x-11)/(x^2+x-1) lgdogf] A206419 8.40008 [-(29*f(x)-270)*(f(x)*x^2+f(x)*x-f(x)-4*x+11) ogf] A206419 9.41213 [{-a(n+2)+a(n+1)+a(n),a(0)=11,a(1)=7} ogf] A206420 11.7133 [-(3*x^2-22*x-8)/(3*x^3-8*x^2-14*x+11) lgdogf] A206420 17.0607 [(3*x-11)/(x^2+x-1) ogf] A206420 22.0131 [-(-8-22*x+3*x^2)/(3*x-11)/(x^2+x-1) lgdogf] A206420 8.43861 [-(15*f(x)-133)*(f(x)*x^2+f(x)*x-f(x)-3*x+11) ogf] A206420 9.45531 [{-a(n+2)+a(n+1)+a(n),a(0)=11,a(1)=8} ogf] A206422 11.7133 [-(2*x^2-22*x-9)/(2*x^3-9*x^2-13*x+11) lgdogf] A206422 17.0607 [(2*x-11)/(x^2+x-1) ogf] A206422 22.0131 [-(-9-22*x+2*x^2)/(2*x-11)/(x^2+x-1) lgdogf] A206422 8.43861 [-(31*f(x)-260)*(f(x)*x^2+f(x)*x-f(x)-2*x+11) ogf] A206422 9.45531 [{-a(n+2)+a(n+1)+a(n),a(0)=11,a(1)=9} ogf] A206423 11.6598 [-(-5*x^2+24*x+7)/(-5*x^3+7*x^2+17*x-12) lgdogf] A206423 16.9828 [(5*x-12)/(x^2+x-1) ogf] A206423 21.9107 [-(-7-24*x+5*x^2)/(5*x-12)/(x^2+x-1) lgdogf] A206423 8.85257 [-(31*f(x)-323)*(f(x)*x^2+f(x)*x-f(x)-5*x+12) ogf] A206423 9.41213 [{-a(n+2)+a(n+1)+a(n),a(0)=12,a(1)=7} ogf] A206450 13.1179 [-(x^3-4)/(x^4-4*x+1) ogf] A206450 15.3715 [-(16+x^6-8*x^3-3*x^2)/(x^4-4*x+1)/(x^3-4) lgdogf] A206450 7.14196 [(64*f(x)-1)*(f(x)*x^4+x^3-4*f(x)*x+f(x)-4) ogf] A206450 7.47413 [-(x^6-8*x^3-3*x^2+16)/(x^7-8*x^4+x^3+16*x-4) lgdogf] A206451 12.1159 [-(x^4-5)/(x^5-5*x+1) ogf] A206451 13.8453 [-(25+x^8-10*x^4-4*x^3)/(x^4-5)/(x^5-5*x+1) lgdogf] A206451 6.74638 [-(x^8-10*x^4-4*x^3+25)/(x^9-10*x^5+x^4+25*x-5) lgdogf] A206451 7.32941 [f(x)*(f(x)*x^5+x^4-5*f(x)*x+f(x)-5) ogf] A206452 12.0441 [-(x^5-6)/(x^6-6*x+1) ogf] A206453 12.8388 [-(x^6-7)/(x^7-7*x+1) ogf] A206454 12.1984 [-(x^7-8)/(x^8-8*x+1) ogf] A206466 3.37205 [-(5341166261011*f(x)+294518658957360)*(256*f(x)*x^4-176*f(x)*x^3+6912*x^3+11*f(x)*x-4496*x^2-f(x)+80*x+121) ogf] A206466 6.62220 [-(6912*x^3-4496*x^2+80*x+121)/(4*x+1)/(4*x-1)/(16*x^2-11*x+1) ogf] A206467 3.39409 [-9*(186624*x^5-91008*x^4-14400*x^3+8700*x^2-490*x-49)/(144*x^3+36*x^2-6*x-1)/(144*x^3-108*x^2+21*x-1) ogf] A206481 7.63978 [x*(x^4-3*x^3+10*x^2-3*x+1)/(x^2+1)/(x-1)^4 ogf] A206481 9.98080 [-(1+9*x+2*x^6-7*x^5+37*x^4-14*x^3+20*x^2)/(x-1)/(x^2+1)/(x^4-3*x^3+10*x^2-3*x+1) lgdogf] A206505 4.12221 [-3*(6*x^6-33*x^5+59*x^4-101*x^3+28*x^2+60*x-27)/(x-1)/(x^3-x^2+4*x-1)/(2*x^3-7*x^2-4*x+1) ogf] A206514 3.96985 [(8*x^6-18*x^5-80*x^4-182*x^3-157*x^2-84*x+15)/(2*x^3+3*x^2+3*x-1)/(12*x^3+15*x^2+15*x-1) ogf] A206525 10.5479 [(51*x^2+11*x+51)/(x+1)/(x-1)^2 ogf] A206525 5.35766 [-(1930*f(x)+246701)*(f(x)*x^3-f(x)*x^2-f(x)*x-51*x^2+f(x)-11*x-51) ogf] A206525 5.81953 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=51,a(1)=62,a(2)=164} ogf] A206525 8.33414 [-(-51*x^3-73*x^2-266*x-62)/(-51*x^4-11*x^3+11*x+51) lgdogf] A206526 12.2395 [(31*x^2+75*x+31)/(x+1)/(x-1)^2 ogf] A206526 6.36851 [-(539*f(x)+1768)*(f(x)*x^3-f(x)*x^2-f(x)*x-31*x^2+f(x)-75*x-31) ogf] A206526 6.69510 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=31,a(1)=106,a(2)=168} ogf] A206526 9.43767 [-(-31*x^3-181*x^2-230*x-106)/(-31*x^4-75*x^3+75*x+31) lgdogf] A206527 4.26004 [{a(n+4)-3*a(n+3)-90*a(n+2)+270*a(n+1),a(0)=11,a(1)=33,a(2)=99,a(3)=2727} ogf] A206527 4.58523 [-(81*f(x)-649)*(270*f(x)*x^3-90*f(x)*x^2-2430*x^3-3*f(x)*x+990*x^2+f(x)-11) ogf] A206527 8.11711 [(2430*x^3-990*x^2+11)/(3*x-1)/(90*x^2-1) ogf] A206529 3.94924 [-(23529800000*x^6-1512630000*x^5-21609000*x^4-308700*x^3-4410*x^2-11)/(7*x-1)/(11764900000*x^6-1) ogf] A206531 3.29026 [{(-4*n^2-22*n-30)*a(n+1)+(-4*n^2-30*n-55)*a(n+2)+a(n+3),a(0)=0,a(1)=2,a(2)=58} ogf] A206532 3.44590 [{(4*n^2+22*n+30)*a(n+1)+(4*n^2+30*n+55)*a(n+2)-a(n+3),a(0)=1,a(1)=11,a(2)=331} ogf] A206535 5.08239 [-3*(18*x^7+111*x^6+226*x^5+118*x^4-24*x^3-148*x^2-56*x+27)/(6*x^2+3*x-1)/(3*x-1)/(x-1) ogf] A206543 15.5088 [x^9-2*x^4-x+3 ogf_with_Euler_transform] A206543 5.52537 [-(x^4+x^3+x^2+x+1)/(x-1)/(x^4-x^3+x^2-x+1) ogf] A206544 19.9343 [x^11-2*x^5-x+3 ogf_with_Euler_transform] A206544 7.31173 [-(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A206545 24.8031 [x^15-2*x^7-x+3 ogf_with_Euler_transform] A206545 7.75901 [-(x^4+1)*(x^2+1)*(x+1)^2/(x-1)/(x^8+1) ogf] A206546 8.87312 [-(x^6+6*x^5+5*x^4+8*x^3+5*x^2+6*x+1)/(x-1)/(x^4+1)/(x^2+1) ogf] A206547 6.10999 [(x^12+4*x^11+6*x^10+2*x^9+4*x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+6*x^2+4*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A206548 6.67161 [-(x^8+3*x^7+3*x^6+8*x^4+3*x^2+3*x+1)/(x-1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A206555 15.9680 [-(-x^5+x^4+x)/(x-1) ogf_with_Euler_transform] A206556 16.4483 [-(x^6-x^5-x)/(-x+1) ogf_with_Euler_transform] A206558 15.5571 [-(x^8-x^7-x)/(-x+1) ogf_with_Euler_transform] A206559 15.5489 [-(-x^9+x^8+x)/(x-1) ogf_with_Euler_transform] A206564 11.7373 [-(x^2-28*x-13)/(x^3-13*x^2-15*x+14) lgdogf] A206564 17.6060 [(x-14)/(x^2+x-1) ogf] A206564 8.70834 [-(41*f(x)-405)*(f(x)*x^2+f(x)*x-f(x)-x+14) ogf] A206564 9.64138 [{-a(n+2)+a(n+1)+a(n),a(0)=14,a(1)=13} ogf] A206565 10.2906 [-(2*x-37)/(x^2-37*x+1) lgdogf] A206565 15.1332 [1/(x^2-37*x+1) ogf] A206565 21.8999 [-(-37+2*x)/(x^2+1-37*x) lgdogf] A206565 6.05329 [(1367*f(x)+2)*(f(x)*x^2-37*f(x)*x+f(x)-1) ogf] A206565 6.12536 [{-a(n+2)+37*a(n+1)-a(n),a(0)=1,a(1)=37} ogf] A206568 4.86714 [-(4*x^8+6*x^7+9*x^6+4*x^5+5*x^4+6*x^3+x^2+x+1)/(4*x^4-3*x^3+2*x-1)/(16*x^8+12*x^7+9*x^6+16*x^5+10*x^4+6*x^3+4*x^2+2*x+1) ogf] A206570 7.70325 [-(x^6-2*x^4+3*x^2-4)/(x^7-2*x^5+3*x^3-4*x+1) ogf] A206603 13.2867 [-(12*x^2+4*x-1+(-(-1+2*x)*(2*x+1))^(1/2))/x/(2*x+1)/(-1+2*x) lgdogf] A206603 3.54272 [{(-8*n^2-40*n-48)*a(n+1)+(4*n^2+12*n)*a(n+2)+(2*n^2+16*n+26)*a(n+3)+(-n^2-6*n-8)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A206603 5.29077 [16*f(x)^2*x^4-32*f(x)^2*x^3+24*f(x)^2*x^2-8*f(x)^2*x-4*f(x)*x^2+f(x)^2+4*f(x)*x+x^2-f(x) ogf] A206603 9.03592 [-(12*x^2+(-4*x^2+1)^(1/2)+4*x-1)/x/(2*x+1)/(2*x-1) lgdogf] A206605 11.6334 [-(3*x^2-28*x-11)/(3*x^3-11*x^2-17*x+14) lgdogf] A206605 17.4502 [(3*x-14)/(x^2+x-1) ogf] A206605 8.63127 [-(39*f(x)-425)*(f(x)*x^2+f(x)*x-f(x)-3*x+14) ogf] A206605 9.55605 [{-a(n+2)+a(n+1)+a(n),a(0)=14,a(1)=11} ogf] A206607 11.5815 [-(2*x^2-26*x-11)/(2*x^3-11*x^2-15*x+13) lgdogf] A206607 17.3723 [(2*x-13)/(x^2+x-1) ogf] A206607 21.7997 [-(-11-26*x+2*x^2)/(2*x-13)/(x^2+x-1) lgdogf] A206607 8.59274 [-(37*f(x)-360)*(f(x)*x^2+f(x)*x-f(x)-2*x+13) ogf] A206607 9.51339 [{-a(n+2)+a(n+1)+a(n),a(0)=13,a(1)=11} ogf] A206608 11.5296 [-(3*x^2-26*x-10)/(3*x^3-10*x^2-16*x+13) lgdogf] A206608 17.2944 [(3*x-13)/(x^2+x-1) ogf] A206608 21.7002 [-(-10-26*x+3*x^2)/(3*x-13)/(x^2+x-1) lgdogf] A206608 8.74221 [-(9*f(x)-92)*(f(x)*x^2+f(x)*x-f(x)-3*x+13) ogf] A206608 9.47073 [{-a(n+2)+a(n+1)+a(n),a(0)=13,a(1)=10} ogf] A206609 11.7668 [-(4*x^2-26*x-9)/(4*x^3-9*x^2-17*x+13) lgdogf] A206609 17.1386 [(4*x-13)/(x^2+x-1) ogf] A206609 22.1154 [-(-9-26*x+4*x^2)/(4*x-13)/(x^2+x-1) lgdogf] A206609 8.47714 [-(35*f(x)-374)*(f(x)*x^2+f(x)*x-f(x)-4*x+13) ogf] A206609 9.49848 [{-a(n+2)+a(n+1)+a(n),a(0)=13,a(1)=9} ogf] A206610 11.7133 [-(5*x^2-26*x-8)/(5*x^3-8*x^2-18*x+13) lgdogf] A206610 17.0607 [(5*x-13)/(x^2+x-1) ogf] A206610 22.0131 [-(-8-26*x+5*x^2)/(5*x-13)/(x^2+x-1) lgdogf] A206610 8.43861 [-(17*f(x)-189)*(f(x)*x^2+f(x)*x-f(x)-5*x+13) ogf] A206610 9.45531 [{-a(n+2)+a(n+1)+a(n),a(0)=13,a(1)=8} ogf] A206611 11.7133 [-(6*x^2-26*x-7)/(6*x^3-7*x^2-19*x+13) lgdogf] A206611 17.0607 [(6*x-13)/(x^2+x-1) ogf] A206611 22.0131 [-(-7-26*x+6*x^2)/(6*x-13)/(x^2+x-1) lgdogf] A206611 8.43861 [-(33*f(x)-380)*(f(x)*x^2+f(x)*x-f(x)-6*x+13) ogf] A206611 9.45531 [{-a(n+2)+a(n+1)+a(n),a(0)=13,a(1)=7} ogf] A206612 11.6598 [-(7*x^2-26*x-6)/(7*x^3-6*x^2-20*x+13) lgdogf] A206612 16.9828 [(7*x-13)/(x^2+x-1) ogf] A206612 21.9107 [-(-6-26*x+7*x^2)/(7*x-13)/(x^2+x-1) lgdogf] A206612 8.58469 [-(8*f(x)-95)*(f(x)*x^2+f(x)*x-f(x)-7*x+13) ogf] A206612 9.41213 [{-a(n+2)+a(n+1)+a(n),a(0)=13,a(1)=6} ogf] A206614 3.15476 [-(60923336469484*f(x)+51536160945417)*(42*f(x)*x^4-36*f(x)*x^3-42*x^4+5*f(x)*x^2+99*x^3-7*f(x)*x-48*x^2+f(x)+12*x-14) ogf] A206614 6.24093 [(42*x^4-99*x^3+48*x^2-12*x+14)/(42*x^4-36*x^3+5*x^2-7*x+1) ogf] A206622 9.30578 [-(2*x^4+7*x^3+12*x^2+7*x+2)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A206623 6.90596 [-(2*x^6+15*x^5+46*x^4+60*x^3+46*x^2+15*x+2)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A206625 7.31120 [-x*(x-1)*(x^2-x+1)*(x+1)^3/(x^8-2*x^6-2*x^4-2*x^2+1) ogf] A206628 3.99732 [{a(n+4)-8*a(n+3)-8*a(n+2)-6*a(n+1),a(0)=14,a(1)=121,a(2)=1085,a(3)=9729} ogf] A206628 4.4033 [(10321*f(x)-23438)*(6*f(x)*x^3+8*f(x)*x^2-3*x^3+8*f(x)*x+5*x^2-f(x)+9*x+14) ogf] A206628 7.36081 [(121+234*x+54*x^4+156*x^3+275*x^2)/(3*x^3-5*x^2-9*x-14)/(6*x^3+8*x^2+8*x-1) lgdogf] A206628 8.05174 [(3*x^3-5*x^2-9*x-14)/(6*x^3+8*x^2+8*x-1) ogf] A206629 5.23893 [-(216*x^4+44*x^3+596*x^2+328*x+121)/(48*x^5+8*x^4+132*x^3+68*x^2+24*x-1) ogf] A206641 11.8203 [-(5*x^2-28*x-9)/(5*x^3-9*x^2-19*x+14) lgdogf] A206641 17.2165 [(5*x-14)/(x^2+x-1) ogf] A206641 8.51567 [-(37*f(x)-437)*(f(x)*x^2+f(x)*x-f(x)-5*x+14) ogf] A206641 9.54166 [{-a(n+2)+a(n+1)+a(n),a(0)=14,a(1)=9} ogf] A206661 3.99455 [-3*(56*x^6-126*x^5-202*x^4+352*x^3-21*x^2-102*x+27)/(x-1)/(8*x^6-14*x^5-42*x^4+29*x^3+10*x^2-8*x+1) ogf] A206678 4.34323 [-(857477*f(x)-46597776)*(8*f(x)*x^4+4*f(x)*x^3+16*f(x)*x^2+132*x^3+108*x^2-f(x)+306*x+81) ogf] A206678 7.66768 [-3*(44*x^3+36*x^2+102*x+27)/(8*x^4+4*x^3+16*x^2-1) ogf] A206679 4.80053 [18*(2*x^5-14*x^4-35*x^3-35*x^2-45*x-17)/(6*x^5+12*x^4+11*x^3+13*x^2+3*x-1) ogf] A206687 11.0562 [2*(2+3*x+4*x^4+4*x^3+2*x^2)/(x-1)/(2*x+1)/(1+x)/(4*x^2+2*x-1) lgdogf] A206687 11.2698 [(x-1)*(2*x+1)*(x+1)/(4*x^2+2*x-1) ogf] A206687 5.92637 [{-a(n+4)+2*a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=11,a(3)=36} ogf] A206687 6.24962 [-(1680*f(x)+781)*(4*f(x)*x^2-2*x^3+2*f(x)*x-x^2-f(x)+2*x+1) ogf] A206687 7.47238 [-(8*x^4+8*x^3+4*x^2+6*x+4)/(-8*x^5-8*x^4+8*x^3+9*x^2-1) lgdogf] A206694 5.66874 [-(x^5-3*x^4-9*x^3+26*x^2-9)/(x^3+3*x^2-1)/(x^3-6*x^2+9*x-1) ogf] A206723 10.0725 [(1755*f(x)-4907)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-f(x)+7*x+7) ogf] A206723 15.2486 [-(-2*x^3+x^2+8*x-5)/(-x^4+3*x^3-3*x+1) lgdogf] A206723 20.7151 [-7*(x+1)/(x-1)/(x^2-3*x+1) ogf] A206723 25.8076 [-(5-8*x+2*x^3-x^2)/(x-1)/(1+x)/(x^2-3*x+1) lgdogf] A206723 9.54696 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=7,a(1)=35,a(2)=112} ogf] A206727 9.02959 [-(9-4*x+x^8-4*x^6+10*x^4+4*x^3-12*x^2)/(x^4-2*x^2+3)/(x^5-2*x^3+3*x-1) lgdogf] A206727 9.92468 [-(x^4-2*x^2+3)/(x^5-2*x^3+3*x-1) ogf] A206739 6.89145 [(x^20-x^16-x^9-x^4+1)/(x-1)/(x^19+x^18+x^17+2*x^16+x^15+x^14+x^13+x^12+x^11+x^10+2*x^9+x^8+x^7+x^6+x^5+x^4-1) ogf] A206741 3.91194 [(x^12-x^11-x^10-x^9+x^8-x^7-x^6+x^5-x^4+x^3+x^2+x-1)/(2*x^12-x^10-2*x^9+2*x^8-x^7-2*x^6+x^5-2*x^4+x^2+2*x-1) ogf] A206742 4.57341 [-(x-1)*(x^14+2*x^13+2*x^12+2*x^11+x^10+2*x^9+2*x^8+2*x^7+x^6+x^5+x^4-x^2-x-1)/(x^16-x^15-x^14-x^12+x^11-x^10-x^8+x^7-x^5+x^4+x^3+x-1) ogf] A206743 6.84631 [(x^14-x^12-x^5-x^2+1)/(x-1)/(x^13+2*x^12+x^11+x^10+x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2-1) ogf] A206745 4.98946 [-32*(126*x^4-126*x^3-45*x^2+61*x-8)/(x-1)/(14*x^2-11*x+1)/(6*x^2+3*x-1) ogf] A206754 5.72378 [(6*x^5-19*x^4+23*x^3-49*x^2-8*x-14)/(12*x^5-2*x^4+34*x^3+5*x^2+7*x-1) ogf] A206776 11.3015 [-(6*x^2-8*x-3)/(6*x^3+5*x^2-9*x+2) lgdogf] A206776 16.0733 [(3*x-2)/(2*x^2+3*x-1) ogf] A206776 7.94832 [-(17*f(x)-25)*(2*f(x)*x^2+3*f(x)*x-f(x)-3*x+2) ogf] A206776 8.82071 [{-a(n+2)+3*a(n+1)+2*a(n),a(0)=2,a(1)=3} ogf] A206780 3.29148 [-(2*x^10-5*x^9-13*x^8+34*x^7+21*x^6-76*x^5+8*x^4+61*x^3-43*x^2+7)/(x+1)/(x^2-3*x+1)/(2*x^2+3*x-1)/(x^2+x-1)/(x^2-x-1)/(x-1)^2 ogf] A206790 10.9467 [-(x^2+4)/(x^3-x^2+4*x-1) ogf] A206790 14.2191 [-(16-6*x+x^4+8*x^2)/(x^3-x^2+4*x-1)/(x^2+4) lgdogf] A206790 5.47336 [{a(n+3)-4*a(n+2)+a(n+1)-a(n),a(0)=4,a(1)=16,a(2)=61} ogf] A206790 5.72443 [(71*f(x)+73)*(f(x)*x^3-f(x)*x^2+4*f(x)*x+x^2-f(x)+4) ogf] A206790 6.93292 [-(-x^4-8*x^2+6*x-16)/(-x^5+x^4-8*x^3+5*x^2-16*x+4) lgdogf] A206791 4.46960 [-(x^5+4*x^4-9*x^3-57*x^2-16*x-16)/(x^3+7*x^2+14*x-1)/(x^3-4*x^2+x-1) ogf] A206806 17.6321 [-2*(2+7*x+5*x^3+6*x^2)/(x-1)/(1+x)/(2*x^2+x+1) lgdogf] A206806 8.88199 [-(2*x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A206806 9.95211 [-(10*x^3+12*x^2+14*x+4)/(2*x^4+x^3-x^2-x-1) lgdogf] A206808 10.5425 [-(3*x^2+42*x+45)/(x^3+9*x^2-3*x-7) lgdogf] A206808 19.4806 [-3*(15+14*x+x^2)/(x-1)/(x^2+10*x+7) lgdogf] A206808 8.69756 [-(x^2+10*x+7)/(x-1)^5 ogf] A206809 10.5621 [-(4*x^2+52*x+52)/(x^3+9*x^2-3*x-7) lgdogf] A206809 19.5247 [-4*(13+13*x+x^2)/(x-1)/(x^2+10*x+7) lgdogf] A206809 7.83258 [(x^2+10*x+7)/(x-1)^6 ogf] A206810 12.1342 [-(145+325*x+3*x^3+103*x^2)/(x-1)/(x^3+25*x^2+55*x+15) lgdogf] A206810 6.63074 [(x^3+25*x^2+55*x+15)/(x-1)^6 ogf] A206810 7.29381 [-(3*x^3+103*x^2+325*x+145)/(x^4+24*x^3+30*x^2-40*x-15) lgdogf] A206811 12.7879 [-4*(40+95*x+x^3+32*x^2)/(x-1)/(x^3+25*x^2+55*x+15) lgdogf] A206811 3.38122 [{(-8*n^2-85*n-225)*a(n+1)+(-56*n^2-784*n-2592)*a(n+2)+(64*n^2+437*n+735)*a(n+3),a(0)=15,a(1)=160,a(2)=830} ogf] A206811 6.04237 [-(x^3+25*x^2+55*x+15)/(x-1)^7 ogf] A206811 7.25084 [-(4*x^3+128*x^2+380*x+160)/(x^4+24*x^3+30*x^2-40*x-15) lgdogf] A206839 11.2117 [-(-4*x^3+6*x^2-4)/(-x^4+2*x^3-4*x+1) lgdogf] A206839 18.5950 [-1/(x^4-2*x^3+4*x-1) ogf] A206839 7.40189 [-(4*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+4*f(x)*x-f(x)+1) ogf] A206839 8.77937 [-(16-4*x+x^6-4*x^5+4*x^4+8*x^3-13*x^2)/(x^3-2*x^2+4)/(x^4-2*x^3+4*x-1) lgdogf] A206857 5.33182 [-(x^5+3*x^4-4*x^3-22*x^2-9*x-9)/(x^3-3*x^2+x-1)/(x^3+5*x^2+7*x-1) ogf] A206866 6.15236 [-(x^5+9*x^4+11*x^3-15*x^2-21*x-7)/(x^6+2*x^5-4*x^4-8*x^3-4*x+1) ogf] A206872 3.76413 [-(4*x^8+2*x^7+3*x^6-26*x^5-29*x^4-12*x^3+15*x^2+28*x+7)/(x-1)/(4*x^8+2*x^7+7*x^6-24*x^5-23*x^4-36*x^3-9*x^2-2*x+1) ogf] A206901 10.6417 [-(2-12*x+12*x^4-30*x^3+31*x^2)/(x-1)/(-1+4*x)/(3*x^3-10*x^2+7*x-1) lgdogf] A206901 11.5332 [-(4*x-1)*(x-1)/(3*x^3-10*x^2+7*x-1) ogf] A206901 6.27247 [(43*f(x)+83)*(3*f(x)*x^3-10*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-5*x+1) ogf] A206901 6.32797 [{-a(n+3)+7*a(n+2)-10*a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A206901 6.81010 [-(-12*x^4+30*x^3-31*x^2+12*x-2)/(-12*x^5+55*x^4-81*x^3+49*x^2-12*x+1) lgdogf] A206902 10.6830 [(x^3-3*x^2+4*x-1)/(3*x^3-7*x^2+6*x-1) ogf] A206902 11.4960 [2*(x-1)*(x^3-5*x^2+3*x-1)/(x^3-3*x^2+4*x-1)/(3*x^3-7*x^2+6*x-1) lgdogf] A206902 5.54229 [{a(n+4)-6*a(n+3)+7*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=36} ogf] A206902 5.99287 [-(3+5*f(x))*(3*f(x)*x^3-7*f(x)*x^2-x^3+6*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A206902 6.64076 [-(-2*x^4+12*x^3-16*x^2+8*x-2)/(3*x^6-16*x^5+39*x^4-50*x^3+34*x^2-10*x+1) lgdogf] A206905 9.29704 [(x^5+9*x^4+9*x^3+9*x^2+9*x+9)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A206909 4.52385 [(2*x^22+x^20-x^19-x^17+x^16+x^14-x^13-x^11+x^10+x^8-x^7-x^4+x^3+x+1)/(x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A206910 4.36119 [(x^23+x^22-x^20+x^19+x^17-x^16-x^14+x^13+x^11-x^10-x^8+x^7+x^4-x^3+2)/(x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A206917 10.4721 [-(24*x^2+24*x+3)/(32*x^4+24*x^3+4*x^2-3*x-1) lgdogf] A206917 15.0166 [-x*(4*x^2+3*x+1)/(8*x^2-1) ogf] A206917 8.29043 [{a(n+4)-8*a(n+2),a(0)=0,a(1)=1,a(2)=3,a(3)=12} ogf] A206917 9.70586 [(176*f(x)+45)*(8*f(x)*x^2+4*x^3+3*x^2-f(x)+x) ogf] A206918 11.7078 [x*(4*x^2+3*x+1)/(x-1)/(8*x^2-1) ogf] A206918 5.76523 [{a(n+4)-a(n+3)-8*a(n+2)+8*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=16} ogf] A206918 6.85594 [-f(x)*(8*f(x)*x^3-8*f(x)*x^2-4*x^3-f(x)*x-3*x^2+f(x)-x) ogf] A206918 7.53475 [-(-32*x^4-48*x^3-4*x^2+24*x+4)/(-32*x^5+8*x^4+20*x^3+7*x^2-2*x-1) lgdogf] A206927 7.93614 [-(2*x^6-x^5-x^4-x^2-2)/(x-1)/(2*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A206931 4.99053 [-(x^7+x^6-8*x^5-8*x^4+28*x^3-20*x^2+7*x+7)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+2*x-1) ogf] A206947 10.1196 [-2*x^3*(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A206947 11.5354 [-(7-42*x+15*x^4-60*x^3+81*x^2)/(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) lgdogf] A206947 5.8414 [f(x)*(5*f(x)*x^4-20*f(x)*x^3+2*x^4+21*f(x)*x^2-2*x^3-8*f(x)*x+f(x)) ogf] A206947 6.97566 [-(-15*x^4+60*x^3-81*x^2+42*x-7)/(-5*x^5+25*x^4-41*x^3+29*x^2-9*x+1) lgdogf] A206948 6.55282 [-x^3*(2*x^2-3*x+2)/(x^3-4*x^2+5*x-1)/(6*x^2-6*x+1) ogf] A206949 10.8159 [-3*x^3*(x-1)/(3*x-1)/(3*x^3-9*x^2+6*x-1) ogf] A206949 11.5854 [-(8-54*x+27*x^4-96*x^3+117*x^2)/(x-1)/(-1+3*x)/(3*x^3-9*x^2+6*x-1) lgdogf] A206949 6.24333 [f(x)*(9*f(x)*x^4-30*f(x)*x^3+3*x^4+27*f(x)*x^2-3*x^3-9*f(x)*x+f(x)) ogf] A206949 7.31363 [-(27*x^4-96*x^3+117*x^2-54*x+8)/(9*x^5-39*x^4+57*x^3-36*x^2+10*x-1) lgdogf] A206950 6.97424 [-x^3*(3*x^3-7*x^2+6*x-3)/(3*x^3-7*x^2+6*x-1)/(3*x^3-10*x^2+7*x-1) ogf] A206958 4.47930 [-(x^15+x^14-x^13-x^12-x^10+x^8+2*x^7+x^6-x^4-x^2-x+1)/(-x^16+1) ogf_with_Euler_transform] A206959 4.37593 [-(x^15-x^14+x^12+x^10-x^9-x^8+2*x^7-x^6-x^5+x^4+x^2-1)/(-x^16+1) ogf_with_Euler_transform] A206981 11.4004 [-4*(x^2-2*x-1)/(x^2-3*x+1)/(x+1) ogf] A206981 12.6341 [-(4+2*x+x^4-4*x^3+3*x^2)/(1+x)/(x^2-3*x+1)/(x^2-2*x-1) lgdogf] A206981 5.74729 [-(1091*f(x)+1336)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-8*x-4) ogf] A206981 6.10019 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=4,a(1)=16,a(2)=36} ogf] A206981 7.55893 [-(-x^4+4*x^3-3*x^2-2*x-4)/(-x^5+4*x^4-x^3-7*x^2+1) lgdogf] A206982 6.23693 [2*(x-1)*(8*x^5+8*x^4-2*x^3-5*x^2-15*x-3)/(2*x^5+x^4-2*x^3-x^2-2*x+1) ogf] A206989 4.43404 [(x-1)*(x^7-x^6-3*x^5-13*x^4+23*x^3+27*x^2+35*x+7)/(x^7-3*x^6+x^5-5*x^4+11*x^3+5*x^2+3*x-1) ogf] A207008 4.89599 [-(f(x)+16)*(2*f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+4*x^3+3*f(x)*x+2*x^2-f(x)+3) ogf] A207008 8.71663 [-(9-8*x+8*x^6+8*x^5+12*x^4+24*x^2)/(4*x^3+2*x^2+3)/(2*x^4+2*x^3-2*x^2+3*x-1) lgdogf] A207008 9.25544 [-(4*x^3+2*x^2+3)/(2*x^4+2*x^3-2*x^2+3*x-1) ogf] A207020 10.7506 [-9*(2*x^2-5*x-1)/(x-1)^4 ogf] A207020 11.7429 [-(-4*x^2+11*x+9)/(-2*x^3+7*x^2-4*x-1) lgdogf] A207020 20.8043 [-(-9-11*x+4*x^2)/(x-1)/(2*x^2-5*x-1) lgdogf] A207020 3.77866 [{(-n-4)*a(n+4)+(-3-4*n)*a(n+3)+(25+7*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=9,a(1)=81,a(2)=252,a(3)=558} ogf] A207020 5.4134 [(49408*f(x)+3070695)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+18*x^2+f(x)-45*x-9) ogf] A207021 14.7117 [-(13+18*x+4*x^3-15*x^2)/(x-1)/(2*x^3-7*x^2+8*x+1) lgdogf] A207021 3.74866 [{(-59*n^2-539*n-1086)*a(n+1)+(102*n^2+687*n+927)*a(n+2)+(-43*n^2-212*n-249)*a(n+3),a(0)=13,a(1)=169,a(2)=624} ogf] A207021 7.98627 [-13*(2*x^3-7*x^2+8*x+1)/(x-1)^5 ogf] A207021 8.74687 [-(-4*x^3+15*x^2-18*x-13)/(-2*x^4+9*x^3-15*x^2+7*x+1) lgdogf] A207022 14.2295 [-(18+42*x+4*x^3-9*x^2)/(x-1)/(2*x^3-5*x^2+13*x+1) lgdogf] A207022 7.72664 [-18*(2*x^3-5*x^2+13*x+1)/(x-1)^5 ogf] A207022 8.46251 [-(-4*x^3+9*x^2-42*x-18)/(-2*x^4+7*x^3-18*x^2+12*x+1) lgdogf] A207023 10.6118 [-(-25-67*x+4*x^4-13*x^3+35*x^2)/(x-1)/(2*x^4-7*x^3+14*x^2-19*x-1) lgdogf] A207023 6.27762 [-25*(2*x^4-7*x^3+14*x^2-19*x-1)/(x-1)^6 ogf] A207023 6.82616 [-(-4*x^4+13*x^3-35*x^2+67*x+25)/(-2*x^5+9*x^4-21*x^3+33*x^2-18*x-1) lgdogf] A207025 4.71601 [-(x^9-x^8+x^7-x^6+3*x^5-3*x^4+3*x^3-8*x-4)/(x-1)/(x^3+x^2-1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A207042 7.44038 [3*(96*x^5-208*x^4-316*x^3-250*x^2-90*x-27)/(16*x^3-1) ogf] A207043 3.74775 [(-18853224738+710453797*f(x))*(2*f(x)*x^4-8*f(x)*x^3-60*x^4-f(x)*x^2+264*x^3-2*f(x)*x-60*x^2+f(x)+12*x-81) ogf] A207043 6.96010 [3*(20*x^4-88*x^3+20*x^2-4*x+27)/(2*x^4-8*x^3-x^2-2*x+1) ogf] A207044 5.98983 [6*(x^6+3*x^5-10*x^4-18*x^3+42*x^2+45*x+25)/(x^5+x^4-5*x^3-2*x^2+1) ogf] A207045 4.95474 [-3*(2*x^10+24*x^9+80*x^8+48*x^7+4*x^6-48*x^5-185*x^4-164*x^3+250*x^2+184*x+147)/(x^4+4*x^3-1) ogf] A207046 4.63840 [-6*(4*x^11+24*x^10+56*x^9+68*x^8+53*x^7+28*x^6-42*x^5-220*x^4-570*x^3+212*x^2+197*x+236)/(4*x^3-1) ogf] A207047 4.12462 [-3*(32*x^12+192*x^11+368*x^10+304*x^9+274*x^8+144*x^7+40*x^6-264*x^5-1344*x^4-4692*x^3+698*x^2+748*x+1457)/(4*x^3-1) ogf] A207048 3.82654 [-6*(16*x^13+192*x^12+656*x^11+512*x^10+324*x^9+208*x^8+32*x^7-24*x^6-320*x^5-1884*x^4-8118*x^3+568*x^2+787*x+2231)/(4*x^3-1) ogf] A207058 6.62339 [x*(95*x^5+73*x^4+95*x^3-425*x^2-219*x-145)/(x-1)/(x^6-6*x^3+1) ogf] A207059 5.23038 [(85*x^9+48*x^8+23*x^7+48*x^6+85*x^5-391*x^4-176*x^3-69*x^2-112*x-119)/(x-1)/(x^10-6*x^5+1) ogf] A207060 6.62647 [x*(161*x^5+79*x^4+161*x^3-707*x^2-237*x-259)/(x-1)/(x^6-6*x^3+1) ogf] A207061 6.77256 [x*(76*x^5+281*x^4+76*x^3-364*x^2-843*x-92)/(x-1)/(x^6-6*x^3+1) ogf] A207064 11.0275 [-(-9*x^2+10*x+9)/(-3*x^3+7*x^2-3*x-1) lgdogf] A207064 19.5222 [-(-9-10*x+9*x^2)/(x-1)/(3*x^2-4*x-1) lgdogf] A207064 3.67582 [{(-n-4)*a(n+4)-3*n*a(n+3)+(24+7*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=9,a(1)=81,a(2)=288,a(3)=720} ogf] A207064 8.84920 [9*(3*x^2-4*x-1)/(x-1)^5 ogf] A207065 12.9410 [-2*(-7-15*x+3*x^3+13*x^2)/(x-1)/(2*x^3+5*x^2-8*x-1) lgdogf] A207065 6.66792 [-14*(2*x^3+5*x^2-8*x-1)/(x-1)^6 ogf] A207065 8.01738 [-(-6*x^3-26*x^2+30*x+14)/(-2*x^4-3*x^3+13*x^2-7*x-1) lgdogf] A207066 10.5153 [-(21+70*x+6*x^4-24*x^3-59*x^2)/(x-1)/(2*x^4-8*x^3-7*x^2+14*x+1) lgdogf] A207066 5.58386 [-21*(2*x^4-8*x^3-7*x^2+14*x+1)/(x-1)^7 ogf] A207067 10.0618 [-(31+149*x+44*x^4-91*x^3-117*x^2)/(x-1)/(11*x^4-27*x^3-6*x^2+23*x+1) lgdogf] A207067 5.32239 [31*(11*x^4-27*x^3-6*x^2+23*x+1)/(x-1)^8 ogf] A207069 4.69177 [-(x^9+x^8-x^7-3*x^6-3*x^5-x^4+7*x^3+4*x^2-4*x-4)/(x-1)/(x^3-x^2-1)/(x^3+x-1)/(x^3+2*x^2+x-1) ogf] A207075 6.68612 [x*(180*x^5+119*x^4+180*x^3-800*x^2-357*x-280)/(x-1)/(x^6-6*x^3+1) ogf] A207076 6.65705 [x*(135*x^5+217*x^4+135*x^3-625*x^2-651*x-185)/(x-1)/(x^6-6*x^3+1) ogf] A207083 5.60764 [-(x^5-3*x^4-14*x^3+18*x^2-7*x-7)/(x-1)/(x^2+2*x-1)/(x^3-5*x^2-3*x+1) ogf] A207089 3.34206 [-(64*x^8+32*x^7-40*x^6-119*x^5-77*x^4+36*x^3+66*x^2+35*x+7)/(64*x^9-32*x^8-8*x^7-111*x^6+6*x^5+29*x^4+48*x^3+11*x^2+2*x-1) ogf] A207094 8.44001 [-(x^8+x^5-2*x^3-3)/(x-1)/(x^8+x^7+x^6+2*x^5+2*x^4+x^3+x^2+x-1) ogf] A207101 4.22430 [-(x^11-3*x^9-2*x^8+4*x^7+18*x^6+32*x^5+42*x^4+46*x^3+44*x^2+26*x+8)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A207106 11.1705 [-2*(5*x^2-6*x-3)/(x-1)^4 ogf] A207106 11.8374 [-(-10*x^2+8*x+18)/(-5*x^3+11*x^2-3*x-3) lgdogf] A207106 21.6209 [-2*(1+x)*(5*x-9)/(x-1)/(5*x^2-6*x-3) lgdogf] A207106 3.88779 [{(-3*n-12)*a(n+4)+(9-3*n)*a(n+3)+(30+11*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=6,a(1)=36,a(2)=98,a(3)=200} ogf] A207106 5.74717 [(1106*f(x)+98821)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+10*x^2+f(x)-12*x-6) ogf] A207107 11.7353 [-(81+56*x+x^4+20*x^3-108*x^2)/(x-1)/(x^4+8*x^3-44*x^2+36*x+9) lgdogf] A207107 7.52533 [-(x^4+8*x^3-44*x^2+36*x+9)/(x-1)^5 ogf] A207108 6.16357 [-(3*x^5-7*x^4-48*x^3+142*x^2-91*x-13)/(x-1)^6 ogf] A207108 8.62685 [-(-169-171*x+3*x^5+x^4-172*x^3+424*x^2)/(x-1)/(3*x^5-7*x^4-48*x^3+142*x^2-91*x-13) lgdogf] A207109 5.17296 [-2*(3*x^6-18*x^5+17*x^4+90*x^3-193*x^2+99*x+9)/(x-1)^7 ogf] A207109 7.14692 [-(162+208*x+3*x^6-18*x^5-39*x^4+428*x^3-695*x^2)/(x-1)/(3*x^6-18*x^5+17*x^4+90*x^3-193*x^2+99*x+9) lgdogf] A207110 4.12418 [-(9*x^7-79*x^6+269*x^5-249*x^4-419*x^3+901*x^2-425*x-25)/(x-1)^8 ogf] A207141 3.34755 [(3383786484*f(x)-182215822121)*(4*f(x)*x^3+4*x^4-4*f(x)*x^2-41*x^3-f(x)*x+91*x^2+f(x)+2*x-50) ogf] A207141 6.27665 [-(4*x^4-41*x^3+91*x^2+2*x-50)/(x-1)/(2*x+1)/(2*x-1) ogf] A207142 7.32501 [(x^7-x^6-x^5-3*x^4+22*x^3-50*x^2-20*x+50)/(x-1)/(2*x^2-1) ogf] A207143 6.83496 [(x^8-x^7+x^6-x^5-x^4+3*x^3-52*x^2+18*x+30)/(x-1)/(2*x^2-1) ogf] A207144 6.39061 [(x^9-x^8+x^7-x^6+x^5-x^4+x^3-59*x^2-24*x+80)/(x-1)/(2*x^2-1) ogf] A207145 5.88135 [(4*x^10-4*x^9+4*x^8-4*x^7+4*x^6-4*x^5-2*x^4+14*x^3-109*x^2+33*x+62)/(x-1)/(2*x^2-1) ogf] A207146 5.23916 [(4*x^11-4*x^10+4*x^9-4*x^8+4*x^7-4*x^6-2*x^5+2*x^4+5*x^3-117*x^2-49*x+159)/(x-1)/(2*x^2-1) ogf] A207147 4.72442 [(16*x^12-16*x^11+16*x^10-16*x^9+16*x^8-16*x^7-8*x^6+8*x^5-2*x^4+26*x^3-213*x^2+65*x+122)/(x-1)/(2*x^2-1) ogf] A207148 4.22651 [(16*x^13-16*x^12+16*x^11-16*x^10+16*x^9-16*x^8-8*x^7+8*x^6-2*x^5+2*x^4+9*x^3-229*x^2-97*x+315)/(x-1)/(2*x^2-1) ogf] A207165 18.6884 [-(9+13*x+x^3+x^2)/(x-1)/(x^3-x^2+5*x+1) lgdogf] A207165 3.95249 [{(n^2-7*n-18)*a(n+1)+(22*n^2+200*n+366)*a(n+2)+(-23*n^2-121*n-156)*a(n+3),a(0)=9,a(1)=81,a(2)=261} ogf] A207165 5.34581 [(2*f(x)+25)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x+9*x^2+f(x)-45*x-9) ogf] A207165 9.17368 [-(-x^3-x^2-13*x-9)/(-x^4+2*x^3-6*x^2+4*x+1) lgdogf] A207165 9.52651 [9*(x^3-x^2+5*x+1)/(x-1)^4 ogf] A207166 15.2348 [-(13+18*x+8*x^3-9*x^2)/(x-1)/(4*x^3-7*x^2+8*x+1) lgdogf] A207166 3.67061 [{(-220*n^2-2144*n-4452)*a(n+1)+(597*n^2+4674*n+7181)*a(n+2)+(-377*n^2-1902*n-2313)*a(n+3),a(0)=13,a(1)=169,a(2)=624} ogf] A207166 8.09928 [-13*(4*x^3-7*x^2+8*x+1)/(x-1)^5 ogf] A207166 8.87064 [-(-8*x^3+9*x^2-18*x-13)/(-4*x^4+11*x^3-15*x^2+7*x+1) lgdogf] A207167 13.4714 [-(-19-42*x+4*x^3+27*x^2)/(x-1)/(2*x^3+7*x^2-14*x-1) lgdogf] A207167 7.53384 [19*(2*x^3+7*x^2-14*x-1)/(x-1)^5 ogf] A207167 8.24291 [-(-4*x^3-27*x^2+42*x+19)/(-2*x^4-5*x^3+21*x^2-13*x-1) lgdogf] A207168 12.5831 [-(28+104*x+x^4+2*x^3+15*x^2)/(x-1)/(x^4-x^3+6*x^2+23*x+1) lgdogf] A207168 7.16376 [-(x^4+2*x^3+15*x^2+104*x+28)/(x^5-2*x^4+7*x^3+17*x^2-22*x-1) lgdogf] A207168 7.16376 [-28*(x^4-x^3+6*x^2+23*x+1)/(x-1)^5 ogf] A207170 6.19343 [-(5*x^6+9*x^5-17*x^3-16*x^2-12*x-4)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A207171 4.05788 [-(16*x^10+120*x^9+28*x^8-134*x^7-203*x^6-36*x^5+27*x^4+117*x^3+54*x^2+30*x+6)/(8*x^9-8*x^7-12*x^6+2*x^5+2*x^4+9*x^3+x-1) ogf] A207172 3.70441 [-(324*x^10+837*x^9-54*x^8-828*x^7-819*x^6-60*x^5+153*x^4+331*x^3+104*x^2+56*x+8)/(27*x^9-18*x^7-27*x^6+3*x^5+3*x^4+13*x^3+x-1) ogf] A207173 3.55598 [-(2304*x^10+3392*x^9-800*x^8-3216*x^7-2284*x^6-20*x^5+544*x^4+721*x^3+170*x^2+90*x+10)/(8*x^3+2*x-1)/(8*x^6-6*x^4-5*x^3+2*x^2+x+1) ogf] A207177 4.21228 [-(x^7+3*x^6+4*x^5-2*x^4-25*x^3-31*x^2-21*x-7)/(x^8+2*x^7+x^6-6*x^5-23*x^4-12*x^3-2*x^2-4*x+1) ogf] A207249 5.45912 [-2*(3*x^7+3*x^5-21*x^4-11*x^3-3*x^2-12*x-3)/(x^8-8*x^5-7*x^4-4*x^2-2*x+1) ogf] A207250 3.37508 [-4*(2*x^9-4*x^8-6*x^7-10*x^6+10*x^5+38*x^4+11*x^3+8*x^2+12*x+2)/(x^10-2*x^9-4*x^8-4*x^7+8*x^6+27*x^5+13*x^4+2*x^3+7*x^2+2*x-1) ogf] A207255 3.56474 [{(-427*n^2-2675*n-4182)*a(n+1)+(1052*n^2+6976*n+13584)*a(n+2)+(-625*n^2-3509*n-4902)*a(n+3),a(0)=10,a(1)=100,a(2)=370} ogf] A207255 8.03045 [10*(x^3+3*x^2-5*x-1)/(x-1)^5 ogf] A207255 8.80447 [-(-2*x^3-12*x^2+14*x+10)/(-x^4-2*x^3+8*x^2-4*x-1) lgdogf] A207256 6.27542 [16*(x^4-6*x^3-4*x^2+10*x+1)/(x-1)^6 ogf] A207256 6.83461 [-(-2*x^4+14*x^3+34*x^2-42*x-16)/(-x^5+7*x^4-2*x^3-14*x^2+9*x+1) lgdogf] A207257 5.11271 [-26*(x^5+7*x^4-28*x^3+2*x^2+19*x+1)/(x-1)^7 ogf] A207258 4.25817 [-42*(x^6-14*x^5-15*x^4+96*x^3-35*x^2-34*x-1)/(x-1)^8 ogf] A207262 11.7689 [-(-64*x^2+32*x-13)/(-64*x^3+84*x^2-21*x+1) lgdogf] A207262 17.1630 [-5*(4*x-1)/(16*x-1)/(x-1) ogf] A207262 8.58152 [-(189*f(x)-100)*(16*f(x)*x^2-17*f(x)*x+f(x)+20*x-5) ogf] A207262 9.69207 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=5,a(1)=65} ogf] A207276 7.17624 [-2*(x+1)*(x^3+x^2+2)/(x^5+3*x^4+x^3+2*x^2+3*x-1) ogf] A207302 7.49160 [-(-3*x^4+168*x^2-316*x-169)/(-3*x^5+9*x^4+44*x^3-154*x^2+91*x+13) lgdogf] A207302 7.49160 [-(3*x^4-6*x^3-50*x^2+104*x+13)/(x-1)^5 ogf] A207303 5.88570 [-(5*x^5-53*x^4+76*x^3+206*x^2-247*x-19)/(x-1)^6 ogf] A207304 5.73310 [-2*(2*x^5-46*x^4+209*x^3-30*x^2-308*x-14)/(x-1)^6 ogf] A207306 4.49089 [-(2*x^8+26*x^7+38*x^6-x^5-56*x^4-101*x^3-56*x^2-30*x-6)/(2*x^7+2*x^6-x^5-4*x^4-6*x^3-x^2-x+1) ogf] A207318 3.50775 [{(8*n^2+32*n+32)*a(n+1)+(-15*n^2-67*n-76)*a(n+2)+(6*n^2+29*n+35)*a(n+3)+(n^2+6*n+9)*a(n+4),a(0)=0,a(1)=1,a(2)=-1,a(3)=9} ogf] A207322 3.62057 [{(-9*n^2-54*n-81)*a(n+1)+(-n^2-16*n-42)*a(n+2)+(9*n^2+62*n+107)*a(n+3)+(n^2+8*n+16)*a(n+4),a(0)=0,a(1)=-3,a(2)=12,a(3)=-81} ogf] A207347 6.86718 [6*(x+1)*(x^5-x^4+4*x^3-x^2+3*x+1)/(x^3+x-1)/(x^3+x^2+x-1) ogf] A207361 6.83065 [x*(2*x^2+5*x+1)/(x-1)^6 ogf] A207361 9.52152 [-(8*x^2+29*x+11)/(2*x^3+3*x^2-4*x-1) lgdogf] A207363 5.61596 [-(x^7-2*x^6-2*x^5+6*x^4+9*x^3+6*x^2+24*x+6)/(x+1)^3/(x-1)^5 ogf] A207388 6.17541 [-2*(x^5-6*x^4-6*x^3+66*x^2-56*x-7)/(x-1)^6 ogf] A207389 5.07074 [-(3*x^6-36*x^5+139*x^4-62*x^3-339*x^2+294*x+21)/(x-1)^7 ogf] A207390 4.35101 [-(3*x^7-45*x^6+341*x^5-961*x^4+677*x^3+705*x^2-713*x-31)/(x-1)^8 ogf] A207399 7.42558 [-(x^4+4*x^3-26*x^2+36*x+9)/(x-1)^5 ogf] A207400 6.51896 [-2*(x^5-15*x^3+36*x^2-36*x-6)/(x-1)^6 ogf] A207401 5.07074 [-4*(x^6-3*x^5-3*x^4+25*x^3-40*x^2+36*x+4)/(x-1)^7 ogf] A207402 4.32325 [-2*(3*x^7-14*x^6+14*x^5+42*x^4-135*x^3+150*x^2-120*x-10)/(x-1)^8 ogf] A207410 2.35636 [f(x)^2*(x^4+9*f(x)*x^2+4*f(x)*x-f(x)) ogf] A207436 5.90385 [-(5*x^6-6*x^5-24*x^4+7*x^3+20*x^2-4)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A207437 3.62203 [-(22*x^9-87*x^8-64*x^7+321*x^6+23*x^5-286*x^4+3*x^3+78*x^2-6)/(x-1)/(2*x-1)/(x+1)/(x^2-4*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A207449 10.5179 [-10*(x^2-6*x-1)/(x-1)^4 ogf] A207449 11.4741 [-(-2*x^2+16*x+10)/(-x^3+7*x^2-5*x-1) lgdogf] A207449 3.71221 [{(-n-4)*a(n+4)+(-5-5*n)*a(n+3)+(30+7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=10,a(1)=100,a(2)=330,a(3)=760} ogf] A207449 5.37085 [(10908*f(x)+564475)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+10*x^2+f(x)-60*x-10) ogf] A207450 10.0174 [16*(5*x^2+12*x+1)/(x-1)^4 ogf] A207450 10.7540 [-(10*x^2+46*x+16)/(5*x^3+7*x^2-11*x-1) lgdogf] A207450 3.49890 [{(n+4)*a(n+4)+(17+11*n)*a(n+3)+(-60-7*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=16,a(1)=256,a(2)=1008,a(3)=2560} ogf] A207450 4.90785 [(23379759*f(x)+3160380464)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-80*x^2+f(x)-192*x-16) ogf] A207451 3.75314 [{(-8*n^2-7*n+51)*a(n+1)+(70*n^2+550*n+1262)*a(n+2)+(-62*n^2-327*n-423)*a(n+3),a(0)=26,a(1)=676,a(2)=3354} ogf] A207451 7.66598 [26*(7*x^3-9*x^2-21*x-1)/(x-1)^5 ogf] A207451 8.28278 [-(-14*x^3+6*x^2+102*x+26)/(-7*x^4+16*x^3+12*x^2-20*x-1) lgdogf] A207452 3.40729 [{(-1114*n^2-7471*n-12387)*a(n+1)+(952*n^2+1540*n-1442)*a(n+2)+(162*n^2+827*n+1023)*a(n+3),a(0)=42,a(1)=1764,a(2)=10710} ogf] A207452 7.34698 [-42*(3*x^3+55*x^2+37*x+1)/(x-1)^5 ogf] A207452 8.01489 [-(6*x^3+174*x^2+258*x+42)/(3*x^4+52*x^3-18*x^2-36*x-1) lgdogf] A207454 4.43198 [-(23*f(x)+890)*(4*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+24*x^3-f(x)*x-12*x^2+f(x)-30*x-6) ogf] A207454 8.14375 [-6*(4*x^3-2*x^2-5*x-1)/(4*x^2+2*x-1)/(x^2-x-1) ogf] A207455 4.27005 [-(1523*f(x)+37704)*(9*f(x)*x^4-3*f(x)*x^3-10*f(x)*x^2+72*x^3-f(x)*x-24*x^2+f(x)-56*x-8) ogf] A207455 8.01291 [-8*(9*x^3-3*x^2-7*x-1)/(9*x^4-3*x^3-10*x^2-x+1) ogf] A207456 3.79577 [-(729*f(x)+21350)*(16*f(x)*x^4-4*f(x)*x^3-13*f(x)*x^2+160*x^3-f(x)*x-40*x^2+f(x)-90*x-10) ogf] A207456 6.95890 [-10*(16*x^3-4*x^2-9*x-1)/(16*x^4-4*x^3-13*x^2-x+1) ogf] A207457 3.87837 [-(5661*f(x)+210950)*(25*f(x)*x^4-5*f(x)*x^3-16*f(x)*x^2+300*x^3-f(x)*x-60*x^2+f(x)-132*x-12) ogf] A207457 7.16358 [-12*(25*x^3-5*x^2-11*x-1)/(25*x^4-5*x^3-16*x^2-x+1) ogf] A207458 3.59116 [-(473575*f(x)+22425186)*(36*f(x)*x^4-6*f(x)*x^3-19*f(x)*x^2+504*x^3-f(x)*x-84*x^2+f(x)-182*x-14) ogf] A207458 6.80207 [-14*(36*x^3-6*x^2-13*x-1)/(4*x^2-2*x-1)/(9*x^2+3*x-1) ogf] A207481 28.3162 [-x^7+x^6+2 ogf_with_Euler_transform] A207481 8.15959 [(x+1)*(x^4+1)*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A207483 3.70339 [-(82*x^9-131*x^8-401*x^7+365*x^6+425*x^5-307*x^4-131*x^3+92*x^2+6*x-6)/(x-1)/(2*x-1)/(x+1)/(x^2-3*x+1)/(3*x^2+x-1)/(x^2+x-1) ogf] A207493 14.5175 [-1/2*x^2+2*x+1-exp(x) revegf] A207495 4.62057 [-(11*x^7+19*x^6-72*x^5-119*x^4+57*x^3+66*x^2-6*x-6)/(x-1)/(x^2+2*x-1)/(x^4-5*x^2-2*x+1) ogf] A207509 4.19928 [2*(2*x^10-6*x^9+12*x^8-16*x^7-6*x^6-15*x^5-7*x^4+5*x^3+12*x+3)/(x-1)/(x^3+x-1)/(x^6-x^5-x^4-3*x^3-x^2+1) ogf] A207539 3.77799 [(10*x^11+9*x^10+8*x^9+7*x^8+6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A207539 4.97869 [-(-11*x^15-11*x^14+28*x^13+5*x^12-11*x^11-4*x^3+2*x^2+2*x-1)/(11*x^15-11*x^14-6*x^13+6*x^12+4*x^3-2*x^2-2*x+1) ogf_with_Euler_transform] A207541 11.8313 [-(-4*x^3+4*x^2-10*x+4)/(x^4-1) ogf_with_Euler_transform] A207541 99.9999 Evaluated at exp(-Pi) 1/2*Pi*2^(3/4)/GAMMA(3/4)^4 A207559 3.65046 [-(45*x^9-120*x^8-160*x^7+440*x^6+128*x^5-384*x^4-11*x^3+88*x^2-6)/(x-1)/(3*x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A207590 11.1602 [6*(4*x^3-x^2-5*x-1)/(3*x^2+x-1) ogf] A207590 5.95842 [{-a(n+4)+a(n+3)+3*a(n+2),a(0)=6,a(1)=36,a(2)=60,a(3)=144} ogf] A207590 6.51014 [(265*f(x)+3426)*(3*f(x)*x^2-24*x^3+f(x)*x+6*x^2-f(x)+30*x+6) ogf] A207590 7.10196 [-(12*x^4+8*x^3+2*x^2+8*x+6)/(-12*x^5-x^4+20*x^3+7*x^2-4*x-1) lgdogf] A207591 5.26962 [9*(x-1)*(4*x^6+2*x^5-22*x^4-8*x^3+18*x^2+10*x+1)/(2*x^6-10*x^4+2*x^3+8*x^2-1) ogf] A207592 4.05007 [13*(16*x^8+20*x^7-86*x^6-66*x^5+99*x^4+54*x^3-26*x^2-14*x-1)/(x+1)/(4*x^6+2*x^5-20*x^4+2*x^3+11*x^2-1) ogf] A207596 3.70736 [{(19*n^2+157*n+238)*a(n+1)+(140*n^2+1219*n+2583)*a(n+2)+(-159*n^2-842*n-1095)*a(n+3),a(0)=15,a(1)=225,a(2)=825} ogf] A207596 4.79067 [(514656*f(x)+86501705)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+15*x^3-4*f(x)*x-15*x^2+f(x)-165*x-15) ogf] A207596 8.78290 [-(-x^3-x^2+35*x+15)/(-x^4+2*x^3+10*x^2-10*x-1) lgdogf] A207596 8.99712 [-15*(x^3-x^2-11*x-1)/(x-1)^4 ogf] A207597 6.96345 [-25*(x^4-4*x^3+6*x^2+20*x+1)/(x-1)^5 ogf] A207597 7.10134 [-(x^4-4*x^3+6*x^2+92*x+25)/(x^5-5*x^4+10*x^3+14*x^2-19*x-1) lgdogf] A207598 7.24398 [40*(5*x^3-41*x^2-35*x-1)/(x-1)^5 ogf] A207598 7.90252 [-(-10*x^3+108*x^2+222*x+40)/(-5*x^4+46*x^3-6*x^2-34*x-1) lgdogf] A207638 5.77039 [-(93*x^5+196*x^4+169*x^3+121*x^2+81*x+49)/(4*x^5-1) ogf] A207640 3.59873 [-(625*x^2+361*x+225)/(4*x^3-1) ogf] A207641 14.3605 [-(-x^3+x^2+2*x+1)/(x^2-1) ogf_with_Euler_transform] A207656 5.04070 [{a(n+4)-3*a(n+3)+a(n+2)+a(n+1),a(0)=6,a(1)=36,a(2)=84,a(3)=198} ogf] A207656 5.57345 [(5*f(x)+18)*(f(x)*x^3+f(x)*x^2+12*x^3-3*f(x)*x+18*x^2+f(x)-18*x-6) ogf] A207656 6.72093 [-(-x^4-6*x^3+3*x^2+8*x-6)/(-2*x^6-5*x^5+6*x^4+11*x^3-11*x^2+1) lgdogf] A207656 9.52132 [-6*(2*x^3+3*x^2-3*x-1)/(x^2+2*x-1)/(x-1) ogf] A207683 5.65634 [2*(3*x^7-42*x^6-19*x^5+12*x^4+46*x^3+33*x^2+18*x+3)/(6*x^6-4*x^4-6*x^3-x^2+1) ogf] A207689 5.35171 [(17*x^7-10*x^6-48*x^5-32*x^4+48*x^3+10*x^2+72*x+9)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A207694 6.86236 [2*(60*x^6+84*x^5+11*x^4-11*x^3-12*x^2-15*x-3)/(3*x^2+1)/(3*x^2+x-1) ogf] A207700 5.90704 [-(x^5-15*x^4+30*x^3+54*x^2-135*x-15)/(x-1)^6 ogf] A207701 4.88715 [-(x^6+2*x^5+127*x^4-404*x^3+119*x^2+450*x+25)/(x-1)^7 ogf] A207702 4.10502 [-2*(12*x^6-31*x^5-259*x^4+1013*x^3-775*x^2-640*x-20)/(x-1)^8 ogf] A207710 3.13393 [-(x^11-x^10+2*x^9-2*x^8+2*x^7-2*x^6+3*x^5-2*x^4+2*x^3-2*x^2+x-1)/(-x^12-x^10+x^2+1) ogf_with_Euler_transform] A207712 3.82604 [-(9*x^9+6*x^8-120*x^7-200*x^6+100*x^5+256*x^4-15*x^3-78*x^2+6)/(x-1)/(x^2+x-1)/(x^2+2*x-1)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A207718 7.31614 [-6*(x^4-4*x^3+4*x+1)/(x+1)/(x^2-4*x+1)/(x^2-x-1) ogf] A207719 5.99146 [-9*(x-1)*(6*x^3-3*x^2-6*x-1)/(6*x^5-9*x^4-8*x^3+10*x^2+4*x-1) ogf] A207724 4.62562 [(x^9-x^8-x^7-9*x^6+3*x^5+7*x^4+9*x^3-18*x^2+18*x+6)/(x-1)/(x^3-x^2-1)/(x^3+x-1)/(x^3+2*x^2+x-1) ogf] A207725 4.66350 [-(x^9+x^8+45*x^6+5*x^5-51*x^4-69*x^3+56*x^2-54*x-9)/(x-1)/(x^3-x^2-1)/(x^3+x-1)/(x^3+2*x^2+x-1) ogf] A207730 4.39132 [-(27*x^8-9*x^7-9*x^6-51*x^5-39*x^4-17*x^3+6*x^2+24*x+6)/(3*x-1)/(x^2+1)/(x^2-x-1)/(9*x^4-3*x^2-1) ogf] A207737 4.64692 [-(16*x^6-55*x^5-235*x^4+40*x^3+188*x^2-9*x-9)/(x-1)/(x+1)/(x^2-6*x+1)/(x^2+2*x-1) ogf] A207769 5.98011 [6*(x^6+x^5-3*x^4-x^3+2*x^2-3*x-1)/(x^4+2*x^3+x^2+x-1)/(x-1)^2 ogf] A207792 5.01453 [-32*(252*x^4+240*x^3+93*x^2+61*x+8)/(336*x^5+272*x^4+83*x^3+61*x^2+x-1) ogf] A207809 5.28921 [-10*(x^5+x^4-11*x^3+4*x^2+8*x+1)/(x^2-x-1)/(x^4+2*x^3-9*x^2-3*x+1) ogf] A207817 4.30744 [{(256*n^3+1152*n^2+1712*n+840)*a(n+1)+(-n^3-7*n^2-16*n-12)*a(n+2),a(0)=1,a(1)=12} ogf] A207832 11.8929 [2*x/(x^2-18*x+1) ogf] A207832 5.51137 [{a(n+2)-18*a(n+1)+a(n),a(0)=0,a(1)=2} ogf] A207832 7.5322 [-f(x)*x^2+18*f(x)*x-f(x)+2*x ogf] A207832 9.03864 [-(2*x-18)/(x^2-18*x+1) lgdogf] A207836 4.98264 [-(36072*f(x)-22153)*(f(x)*x^4-8*f(x)*x^3+18*f(x)*x^2-x^3-8*f(x)*x+8*x^2+f(x)-3*x) ogf] A207836 8.45892 [-(2*x^3-24*x^2+42*x-16)/(x^4-12*x^3+36*x^2-20*x+3) lgdogf] A207836 9.83064 [x*(x^2-8*x+3)/(x^2-4*x+1)^2 ogf] A207840 5.14022 [2*(2*x^7-3*x^6+5*x^5+8*x^4+3*x^3-6*x^2-15*x-3)/(x^6-x^5+2*x^4+5*x^3+4*x^2+x-1) ogf] A207846 12.6341 [6*(x^2-4*x-1)/(x^2+2*x-1) ogf] A207846 6.55999 [{a(n+3)-2*a(n+2)-a(n+1),a(0)=6,a(1)=36,a(2)=72} ogf] A207846 9.47553 [-f(x)*x^2-2*f(x)*x+6*x^2+f(x)-24*x-6 ogf] A207846 9.88752 [-(-6*x^2-6)/(x^4-2*x^3-10*x^2+2*x+1) lgdogf] A207847 4.18377 [(10107*f(x)+20710)*(f(x)*x^4-f(x)*x^3-10*x^4-6*f(x)*x^2+70*x^3-f(x)*x-80*x^2+f(x)-90*x-10) ogf] A207847 7.34482 [10*(x^4-7*x^3+8*x^2+9*x+1)/(x^4-x^3-6*x^2-x+1) ogf] A207848 4.03607 [16*(x^8-8*x^7-5*x^6+88*x^5-58*x^4-68*x^3+29*x^2+16*x+1)/(x^8-15*x^6+4*x^5+32*x^4-4*x^3-15*x^2+1) ogf] A207854 3.78141 [-(9*x^9+x^8-64*x^6-10*x^5+2*x^4+132*x^3-44*x^2+45*x+9)/(x^4-2*x^2-4*x+1)/(x^6+x^4-4*x^3-x^2-1) ogf] A207896 6.34293 [-6*(2*x^5+3*x^4+5*x^3+6*x^2+5*x+1)/(x^5+x^4+2*x^3+2*x^2+x-1) ogf] A207924 5.02189 [(17*x^7-7*x^6+17*x^5-125*x^4-9*x^3-45*x^2+63*x+9)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A207929 5.36227 [-(5*f(x)-12)*(f(x)*x^4+2*f(x)*x^3-6*x^4-12*x^3+2*f(x)*x-f(x)+24*x+6) ogf] A207929 9.51615 [6*(x^4+2*x^3-4*x-1)/(x^2+1)/(x^2+2*x-1) ogf] A207935 5.94496 [-2*(x^5-6*x^4-9*x^3+61*x^2-56*x-7)/(x-1)^6 ogf] A207936 4.61760 [-2*(x^6-15*x^5+68*x^4-59*x^3-110*x^2+165*x+11)/(x-1)^7 ogf] A207937 4.31901 [-(x^7-5*x^6+191*x^5-863*x^4+1269*x^3-157*x^2-945*x-35)/(x-1)^8 ogf] A207939 3.58189 [-(26*x^9+29*x^8-171*x^7-223*x^6+189*x^5+247*x^4-63*x^3-76*x^2+6*x+6)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1)/(x^4-5*x^2-2*x+1) ogf] A207944 11.0776 [-(-x^5+2*x^4+2*x^2)/(x^4-1) ogf_with_Euler_transform] A207969 12.2620 [-(-5*x^3+20*x^2+20*x-5)/(-x^5+5*x^4+15*x^3-15*x^2-5*x+1) lgdogf] A207969 7.60015 [-(-5*x^3+20*x^2+20*x-5)/(-x^5+5*x^4+15*x^3-15*x^2-5*x+1) lgdogf] A207970 7.62247 [-(5*x^5-60*x^4-265*x^3+265*x^2+60*x-5)/(x^7-13*x^6-104*x^5+260*x^4+260*x^3-104*x^2-13*x+1) lgdogf] A207994 5.24144 [-(8*x^4-44*x^3+77*x^2-47*x+8)/(8*x^5-48*x^4+92*x^3-65*x^2+16*x-1) ogf] A207995 3.34803 [-(688*x^6-2736*x^5+4206*x^4-3198*x^3+1257*x^2-237*x+16)/(516*x^7-2152*x^6+3519*x^5-2901*x^4+1278*x^3-291*x^2+30*x-1) ogf] A208003 3.23451 [-(234*x^9-603*x^8-767*x^7+2044*x^6+299*x^5-1588*x^4+223*x^3+238*x^2-27*x-9)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(6*x^3-7*x^2-2*x+1) ogf] A208014 4.56277 [-(148*x^7+714*x^6+404*x^5-167*x^4-364*x^3-126*x^2-72*x-9)/(4*x^3-2*x^2-1)/(4*x^3+4*x^2+x-1) ogf] A208016 4.23203 [-(8505*x^7+15228*x^6+3915*x^5-3015*x^4-2601*x^3-480*x^2-240*x-16)/(9*x^3-3*x^2-1)/(9*x^3+6*x^2+x-1) ogf] A208023 3.95406 [-(9*x^9+6*x^8-8*x^7-50*x^6-3*x^5+48*x^4+93*x^3+60*x^2+30*x+6)/(x^9-x^7-5*x^6+3*x^5+4*x^4+8*x^3+x^2+x-1) ogf] A208029 3.93167 [(10222*f(x)-609435)*(10*f(x)*x^4-2*f(x)*x^3-11*f(x)*x^2+90*x^3-2*f(x)*x-18*x^2+f(x)-63*x-9) ogf] A208029 7.24001 [-9*(x-1)*(10*x^2+8*x+1)/(10*x^4-2*x^3-11*x^2-2*x+1) ogf] A208030 4.03260 [-13*(4*x^6-3*x^5-28*x^4+38*x^3+x^2-10*x-1)/(x-1)/(4*x^6+x^5-30*x^4+12*x^3+21*x^2+2*x-1) ogf] A208034 13.8527 [-(2*x-2)/(x^3-5*x^2-5*x+1) lgdogf] A208034 29.3413 [-(2*x-2)/(x^3-5*x^2-5*x+1) lgdogf] A208034 4.59024 [{(n+3)*a(n+3)+(-12-5*n)*a(n+2)+(-3-5*n)*a(n+1)+n*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A208035 5.50756 [-(16*x^6+9*x^5+17*x^4-86*x^3-100*x^2-63*x-9)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A208044 11.2015 [2*(x-1)*(2*x-1)/(8*x^2-7*x+1) ogf] A208044 5.76389 [{a(n+3)-7*a(n+2)+8*a(n+1),a(0)=2,a(1)=8,a(2)=44} ogf] A208044 5.93682 [-(-22+267*f(x))*(8*f(x)*x^2-7*f(x)*x-4*x^2+f(x)+6*x-2) ogf] A208044 7.61129 [-(10*x^2-12*x+4)/(-16*x^4+38*x^3-31*x^2+10*x-1) lgdogf] A208046 4.07647 [-(-9+85*f(x))*(64*f(x)*x^4-68*f(x)*x^3-32*x^4+40*f(x)*x^2+84*x^3-12*f(x)*x-60*x^2+f(x)+28*x-5) ogf] A208046 6.92561 [(32*x^4-84*x^3+60*x^2-28*x+5)/(64*x^4-68*x^3+40*x^2-12*x+1) ogf] A208055 10.6462 [-(-2*x^3+26*x^2+26*x-2)/(-x^5+29*x^4+174*x^3-174*x^2-29*x+1) lgdogf] A208055 6.77430 [-(-2*x^3+26*x^2+26*x-2)/(-x^5+29*x^4+174*x^3-174*x^2-29*x+1) lgdogf] A208064 11.3366 [6*(x^4-2*x^3-4*x-1)/(x+1)/(x-1)^3 ogf] A208064 6.38807 [-(f(x)-12)*(f(x)*x^4-2*f(x)*x^3-6*x^4+12*x^3+2*f(x)*x-f(x)+24*x+6) ogf] A208064 8.94330 [-(18*x^2+12*x+6)/(-x^6+2*x^5+x^4+2*x^3+x^2-4*x-1) lgdogf] A208065 5.02489 [2*(5*x^8-10*x^7-10*x^6+12*x^5+12*x^4+22*x^3-10*x^2-40*x-5)/(x+1)^3/(x-1)^5 ogf] A208066 4.82486 [16*(x^8-2*x^7-2*x^6+5*x^5+3*x^4-7*x^3-10*x^2-14*x-1)/(x+1)^3/(x-1)^5 ogf] A208067 4.43180 [2*(13*x^8-26*x^7-26*x^6+76*x^5-28*x^4-522*x^3-338*x^2-312*x-13)/(x+1)^3/(x-1)^5 ogf] A208070 3.37423 [12*(32*x^10-24*x^9-4*x^8-114*x^7+51*x^6+31*x^5+86*x^4+x^3-2*x^2-11*x-1)/(8*x^3+4*x^2+2*x-1)/(x^6-x^5-3*x^3+2*x^2+x+1) ogf] A208071 4.46483 [4*(448*x^7+32*x^6+36*x^5-522*x^4-45*x^3-63*x^2+56*x+4)/(4*x-1)/(x-1)/(x^2+x+1)/(4*x^2+2*x+1) ogf] A208079 4.99289 [-(451*f(x)+241)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+9*x^2+f(x)-36*x-9) ogf] A208079 5.20997 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=9,a(1)=81,a(2)=441} ogf] A208079 6.05198 [-(-x^4+8*x^3-22*x^2-8*x-9)/(-x^5+9*x^4-14*x^3-26*x^2-x+1) lgdogf] A208079 9.66365 [-9*(x^2-4*x-1)/(x+1)/(x^2-6*x+1) ogf] A208080 3.80917 [-15*(x-1)*(x^6+2*x^5-25*x^4+2*x^3+31*x^2+12*x+1)/(x^8-36*x^6+28*x^5+70*x^4-24*x^3-40*x^2-4*x+1) ogf] A208084 3.72104 [-2*(324*x^9+108*x^8-1134*x^7-369*x^6+1008*x^5+309*x^4-252*x^3-65*x^2+10*x+4)/(3*x^2-1)/(9*x^4-9*x^2+1)/(9*x^4-21*x^2+1) ogf] A208086 4.48829 [-(15635111*f(x)+111695223)*(f(x)*x^4-3*f(x)*x^3+14*x^3+3*f(x)*x-34*x^2-f(x)-16*x+24) ogf] A208086 8.73066 [-2*(7*x^3-17*x^2-8*x+12)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A208087 4.37816 [-(15635111*f(x)+335085669)*(f(x)*x^4-3*f(x)*x^3+42*x^3+3*f(x)*x-102*x^2-f(x)-48*x+72) ogf] A208087 8.46049 [-6*(7*x^3-17*x^2-8*x+12)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A208088 10.6819 [-(-2*x^2-6*x-5)/(-2*x^3-5*x^2-x+3) lgdogf] A208088 14.2425 [-36*(2*x+3)/(x^2+x-1) ogf] A208088 7.12126 [-(89*f(x)-2112)*(f(x)*x^2+f(x)*x-f(x)+72*x+108) ogf] A208088 7.94931 [{a(n+2)-a(n+1)-a(n),a(0)=108,a(1)=180} ogf] A208089 4.49684 [-(15635111*f(x)+1005257007)*(f(x)*x^4-3*f(x)*x^3+126*x^3+3*f(x)*x-306*x^2-f(x)-144*x+216) ogf] A208089 8.58486 [-18*(7*x^3-17*x^2-8*x+12)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A208103 5.29772 [-(15*x^6-20*x^5-70*x^4+33*x^3+54*x^2-12*x-6)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A208104 5.42148 [-(40*x^6-55*x^5-185*x^4+99*x^3+137*x^2-45*x-9)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A208109 3.98882 [-(216*x^8-36*x^7-36*x^6-300*x^5-114*x^4-53*x^3+9*x^2+63*x+9)/(6*x^3-7*x^2-2*x+1)/(36*x^6+12*x^4-7*x^2-1) ogf] A208110 3.45163 [-(1331*x^8-121*x^7-121*x^6-1595*x^5-319*x^4-153*x^3+14*x^2+168*x+14)/(11*x^3-12*x^2-2*x+1)/(121*x^6+22*x^4-12*x^2-1) ogf] A208111 3.50083 [-(6859*x^8-361*x^7-361*x^6-7619*x^5-855*x^4-417*x^3+22*x^2+440*x+22)/(19*x^3-20*x^2-2*x+1)/(361*x^6+38*x^4-20*x^2-1) ogf] A208112 3.26449 [-(32768*x^8-1024*x^7-1024*x^6-34880*x^5-2272*x^4-1119*x^3+35*x^2+1155*x+35)/(32*x^3-33*x^2-2*x+1)/(1024*x^6+64*x^4-33*x^2-1) ogf] A208114 5.23201 [-(x^7-x^6-3*x^5+11*x^4+67*x^3+45*x^2+63*x+9)/(x+1)^3/(x-1)^5 ogf] A208119 4.02649 [-(256*x^7-64*x^6+96*x^5-280*x^4+40*x^3-90*x^2+36*x+9)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1)/(2*x^2+1)/(8*x^2+1) ogf] A208121 3.61303 [-(6561*x^7+1458*x^6+3159*x^5-4158*x^4+945*x^3-672*x^2+144*x+16)/(3*x-1)/(3*x+1)/(9*x^2-7*x+1)/(81*x^4+21*x^2+1) ogf] A208124 3.84526 [{(2*n^2+3*n)*a(n)+(-4*n^2-19*n-15)*a(n+1)+(2*n^2+17*n+30)*a(n+2)+(-n-3)*a(n+3),a(0)=2,a(1)=8,a(2)=60} ogf] A208131 10.094 [-(f(x)-1)*(12*f(x)*x^3+6*x^2-f(x)+3*x+1) ogf] A208131 15.1096 [-(6*x^2+3*x+1)/(12*x^3-1) ogf] A208131 7.33474 [-(-72*x^4-72*x^3-36*x^2-12*x-3)/(-72*x^5-36*x^4-12*x^3+6*x^2+3*x+1) lgdogf] A208131 9.81140 [{a(n+3)-12*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A208138 11.5116 [-(3*x^2+18*x+9)/(x^3+3*x^2-3*x-1) lgdogf] A208138 3.85697 [{(n+4)*a(n+4)+3*n*a(n+3)+(-24-3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=9,a(1)=81,a(2)=324,a(3)=900} ogf] A208138 9.35316 [-9*(x^2+4*x+1)/(x-1)^5 ogf] A208139 10.4034 [-(12*x^2+36*x+12)/(3*x^3+3*x^2-5*x-1) lgdogf] A208139 3.38365 [{(n+4)*a(n+4)+(3+5*n)*a(n+3)+(-42-3*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=12,a(1)=144,a(2)=720,a(3)=2400} ogf] A208139 7.65968 [12*(3*x^2+6*x+1)/(x-1)^6 ogf] A208140 5.26509 [{(n^2+10*n+25)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=16,a(1)=256} ogf] A208140 5.92915 [-16*(x+1)*(x^2+8*x+1)/(x-1)^7 ogf] A208140 8.77515 [-(4*x^3+48*x^2+72*x+16)/(x^4+8*x^3-8*x-1) lgdogf] A208141 5.30471 [{(n^2+11*n+30)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=20,a(1)=400} ogf] A208141 5.52574 [20*(4*x^3+18*x^2+12*x+1)/(x-1)^8 ogf] A208141 7.53510 [-(20*x^3+120*x^2+120*x+20)/(4*x^4+14*x^3-6*x^2-11*x-1) lgdogf] A208170 5.03820 [(45*x^4-183*x^3+276*x^2-151*x+5)/(45*x^2-57*x+1)/(3*x^2-5*x+1) ogf] A208176 11.6687 [-(2*x-1)*(x^2-2*x-1)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A208176 6.06774 [-(6065*f(x)+5572)*(f(x)*x^4-3*f(x)*x^3+2*x^3+3*f(x)*x-5*x^2-f(x)+1) ogf] A208195 3.0083 [-(617317329022*f(x)-370919286393)*(24*f(x)*x^4+66*f(x)*x^3-8*x^4+31*f(x)*x^2-15*x^3-18*f(x)*x+12*x^2+f(x)+22*x-2) ogf] A208195 5.82040 [(8*x^4+15*x^3-12*x^2-22*x+2)/(2*x^2+3*x-1)/(12*x^2+15*x-1) ogf] A208215 5.18451 [{-a(n+4)+15*a(n+3)-55*a(n+2)+51*a(n+1),a(0)=1,a(1)=4,a(2)=34,a(3)=322} ogf] A208215 5.46155 [(1415+8947*f(x))*(51*f(x)*x^3-55*f(x)*x^2-19*x^3+15*f(x)*x+29*x^2-f(x)-11*x+1) ogf] A208215 9.53949 [(x-1)*(19*x^2-10*x+1)/(51*x^3-55*x^2+15*x-1) ogf] A208253 5.00606 [{-a(n+3)+22*a(n+2)-16*a(n+1),a(0)=5,a(1)=96,a(2)=2040} ogf] A208253 5.30054 [(-2077+6969*f(x))*(16*f(x)*x^2-22*f(x)*x-8*x^2+f(x)+14*x-5) ogf] A208253 6.43637 [-(48*x^2-144*x+96)/(-128*x^4+400*x^3-396*x^2+124*x-5) lgdogf] A208253 9.65455 [(2*x-1)*(4*x-5)/(16*x^2-22*x+1) ogf] A208254 5.25173 [2*(64*x^4-128*x^3+110*x^2-43*x+7)/(256*x^4-416*x^3+266*x^2-61*x+1) ogf] A208259 9.81934 [-(800*x^13-800*x^12+80*x^3-80*x^2-9*x-1)/(x-1)^2 ogf] A208264 5.05212 [(16823*f(x)+3652)*(2*f(x)*x^3-3*f(x)*x^2-6*f(x)*x+x^2+f(x)-x-4) ogf] A208264 5.18391 [{a(n+3)-6*a(n+2)-3*a(n+1)+2*a(n),a(0)=4,a(1)=25,a(2)=161} ogf] A208264 9.77295 [-(x^2-x-4)/(2*x^3-3*x^2-6*x+1) ogf] A208265 5.38023 [-(4*x^4-13*x^3-17*x^2+9*x+8)/(8*x^5-30*x^4-21*x^3+20*x^2+10*x-1) ogf] A208283 3.63230 [{(-483*n^2-3120*n-5013)*a(n+1)+(1460*n^2+10569*n+21178)*a(n+2)+(-977*n^2-5473*n-7626)*a(n+3),a(0)=10,a(1)=100,a(2)=378} ogf] A208283 8.31392 [2*(3*x^3+11*x^2-25*x-5)/(x-1)^5 ogf] A208283 8.80298 [-(-6*x^3-42*x^2+78*x+50)/(-3*x^4-8*x^3+36*x^2-20*x-5) lgdogf] A208284 6.42848 [4*(x-2)*(4*x^3-6*x^2-21*x-2)/(x-1)^6 ogf] A208284 6.79936 [-(-8*x^4+26*x^3+78*x^2-182*x-64)/(-4*x^5+18*x^4-5*x^3-49*x^2+36*x+4) lgdogf] A208285 5.21296 [-2*(3*x^5+65*x^4-230*x^3+94*x^2+247*x+13)/(x-1)^7 ogf] A208286 4.07819 [-2*(19*x^6-86*x^5-203*x^4+1156*x^3-1005*x^2-714*x-21)/(x-1)^8 ogf] A208288 6.53626 [-8*(x^4-2*x^3-3*x^2+5*x+1)/(x^2-x-1)/(x^3-x^2-4*x+1) ogf] A208289 6.33506 [-10*(x^5-6*x^3-x^2+7*x+1)/(x^6-7*x^4-2*x^3+10*x^2+3*x-1) ogf] A208290 4.02696 [-12*(x-1)*(x^5-x^4-6*x^3+3*x^2+9*x+1)/(x^7-2*x^6-6*x^5+10*x^4+10*x^3-11*x^2-4*x+1) ogf] A208291 4.16950 [-14*(x+1)*(x^6-x^5-7*x^4+6*x^3+12*x^2-9*x-1)/(x^8-9*x^6-2*x^5+23*x^4+7*x^3-16*x^2-4*x+1) ogf] A208309 13.4632 [-2*(x-2)/(3*x^2-5*x+1) ogf] A208309 6.80724 [(142*f(x)+161)*(3*f(x)*x^2-5*f(x)*x+f(x)+2*x-4) ogf] A208309 7.29933 [{-a(n+2)+5*a(n+1)-3*a(n),a(0)=4,a(1)=18} ogf] A208309 9.04245 [-(-3*x^2+12*x-9)/(-3*x^3+11*x^2-11*x+2) lgdogf] A208310 4.21078 [(56*f(x)+59)*(9*f(x)*x^4-21*f(x)*x^3+21*f(x)*x^2+6*x^3-9*f(x)*x-18*x^2+f(x)+18*x-8) ogf] A208310 7.43385 [-2*(3*x^3-9*x^2+9*x-4)/(9*x^4-21*x^3+21*x^2-9*x+1) ogf] A208311 3.32984 [-2*(27*x^7-162*x^6+405*x^5-504*x^4+381*x^3-186*x^2+55*x-8)/(3*x^2-3*x+1)/(27*x^6-126*x^5+180*x^4-132*x^3+60*x^2-14*x+1) ogf] A208316 10.8889 [(3*x^2+3*x-2)/(6*x^2+8*x-1) ogf] A208316 5.49629 [{-a(n+3)+8*a(n+2)+6*a(n+1),a(0)=2,a(1)=13,a(2)=113} ogf] A208316 5.7711 [-(-75+122*f(x))*(6*f(x)*x^2+8*f(x)*x-3*x^2-f(x)-3*x+2) ogf] A208316 7.49494 [-(-6*x^2-18*x-13)/(18*x^4+42*x^3+9*x^2-19*x+2) lgdogf] A208317 3.96635 [{a(n+4)-24*a(n+3)-32*a(n+2)+24*a(n+1),a(0)=5,a(1)=113,a(2)=2852,a(3)=71956} ogf] A208317 4.23076 [(1477849*f(x)-601885)*(24*f(x)*x^3-32*f(x)*x^2-12*x^3-24*f(x)*x+20*x^2+f(x)+7*x-5) ogf] A208317 7.71830 [(12*x^3-20*x^2-7*x+5)/(24*x^3-32*x^2-24*x+1) ogf] A208318 3.79529 [2*(432*x^5-1200*x^4+426*x^3+137*x^2-36*x-7)/(1728*x^5-4224*x^4+320*x^3+600*x^2+65*x-1) ogf] A208327 5.40759 [(3*x^11-x^10-x^9+2*x^8-x^7-x^6+x^5+x^4-2*x^3+x^2+x+1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A208347 4.80925 [{a(n+4)-10*a(n+3)+9*a(n+2),a(0)=2,a(1)=15,a(2)=100,a(3)=868} ogf] A208347 4.93256 [-(207642*f(x)+924841)*(9*f(x)*x^2-3*x^3-10*f(x)*x+32*x^2+f(x)+5*x-2) ogf] A208347 9.16048 [(3*x+1)*(x^2-11*x+2)/(9*x-1)/(x-1) ogf] A208354 10.1852 [-(x^3-2*x^2-2*x-1)/(x^4+x^3-2*x^2-x+1) lgdogf] A208354 10.5821 [(x+1)*(x-1)^2/(x^2+x-1)^2 ogf] A208354 3.67036 [{(2*n^2+7*n+6)*a(n+1)+(-15-8*n)*a(n+2)+(-4*n^2-14*n-1)*a(n+3)+(2*n^2+9*n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=4} ogf] A208354 6.12646 [-f(x)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+x-1) ogf] A208355 14.1535 [-1/2*(8*x^2+3*(-4*x^2+1)^(1/2)+2*x-3)/x/(2*x-1)/(2*x+1) lgdogf] A208355 8.61951 [-1/2*(8*x^2+3*(-4*x^2+1)^(1/2)+2*x-3)/x/(2*x-1)/(2*x+1) lgdogf] A208355 9.79005 [f(x)^2*x^3+2*f(x)*x^2-f(x)*x-f(x)+2*x+1 ogf] A208370 3.64448 [-9*(4*x^7-15*x^6-10*x^5+28*x^4+16*x^3-11*x^2-8*x-1)/(x+1)/(4*x^7-19*x^6+6*x^5+32*x^4-6*x^3-17*x^2-2*x+1) ogf] A208375 10.7177 [-(-6*x^2+8*x+10)/(-x^4-2*x^3+10*x^2-6*x-1) lgdogf] A208375 10.8645 [10*(x^3+3*x^2-7*x-1)/(x-1)^3 ogf] A208375 5.70582 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=10,a(1)=100,a(2)=240,a(3)=420} ogf] A208375 6.14813 [(127*f(x)-27205)*(f(x)*x^3-3*f(x)*x^2-10*x^3+3*f(x)*x-30*x^2-f(x)+70*x+10) ogf] A208376 10.5400 [16*(x^3+x^2-13*x-1)/(x-1)^3 ogf] A208376 11.4700 [-(-4*x^2+24*x+16)/(-x^4+14*x^2-12*x-1) lgdogf] A208376 5.57114 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=16,a(1)=256,a(2)=704,a(3)=1344} ogf] A208376 5.90877 [(1107*f(x)-233200)*(f(x)*x^3-3*f(x)*x^2-16*x^3+3*f(x)*x-16*x^2-f(x)+208*x+16) ogf] A208377 5.18277 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=26,a(1)=676,a(2)=2080,a(3)=4212} ogf] A208377 5.37331 [(89327*f(x)-37457953)*(f(x)*x^3-3*f(x)*x^2-26*x^3+3*f(x)*x+130*x^2-f(x)+598*x+26) ogf] A208377 9.61541 [-(2*x^2+56*x+26)/(-x^4+6*x^3+18*x^2-22*x-1) lgdogf] A208377 9.74361 [26*(x^3-5*x^2-23*x-1)/(x-1)^3 ogf] A208378 4.35238 [-(7800714551+167058*f(x))*(f(x)*x^4-4*f(x)*x^3-42*x^4+6*f(x)*x^2+588*x^3-4*f(x)*x+588*x^2+f(x)-1596*x-42) ogf] A208378 7.96394 [42*(x^4-14*x^3-14*x^2+38*x+1)/(x-1)^4 ogf] A208378 8.60471 [-(10*x^3+70*x^2-86*x-42)/(-x^5+15*x^4-52*x^2+37*x+1) lgdogf] A208380 4.92239 [4*(16*x^7-12*x^6+22*x^5+31*x^4+4*x^3-3*x^2-14*x-2)/(4*x^2+2*x-1)/(x^4-x^3+2*x^2+x+1) ogf] A208381 4.60024 [2*(162*x^7-81*x^6+153*x^5+210*x^4+17*x^3-2*x^2-45*x-5)/(9*x^6-3*x^5+8*x^4+13*x^3+4*x^2+x-1) ogf] A208382 4.58264 [4*(256*x^7-96*x^6+184*x^5+250*x^4+15*x^3+3*x^2-33*x-3)/(16*x^6-4*x^5+11*x^4+17*x^3+4*x^2+x-1) ogf] A208383 4.27165 [2*(1250*x^7-375*x^6+725*x^5+980*x^4+47*x^3+18*x^2-91*x-7)/(25*x^6-5*x^5+14*x^4+21*x^3+4*x^2+x-1) ogf] A208384 8.41022 [-(6*x^5-x^4+x^3+2*x^2+x-1)/(-x^6+1) ogf_with_Euler_transform] A208385 6.64612 [-(-6*x^4+4*x^3-5*x^2+x-2)/(x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A208387 12.2112 [-26*f(x)*x+f(x)+13*x-5 ogf] A208387 13.6649 [-117/(-338*x^2+143*x-5) lgdogf] A208387 14.7161 [(-5+13*x)/(26*x-1) ogf] A208387 7.65235 [{a(n+2)-26*a(n+1),a(0)=5,a(1)=117} ogf] A208388 4.21385 [{a(n+3)-76*a(n+2)+36*a(n+1),a(0)=14,a(1)=1017,a(2)=76806} ogf] A208388 4.36991 [-(-3799+8480*f(x))*(36*f(x)*x^2-76*f(x)*x-18*x^2+f(x)+47*x-14) ogf] A208388 5.18627 [-(324*x^2-972*x+1017)/(-648*x^4+3060*x^3-4094*x^2+1111*x-14) lgdogf] A208388 8.13709 [(18*x^2-47*x+14)/(36*x^2-76*x+1) ogf] A208389 3.09021 [{a(n+4)-222*a(n+3)+612*a(n+2)-432*a(n+1),a(0)=41,a(1)=8838,a(2)=1937736,a(3)=424785708} ogf] A208389 5.87894 [(540*x^3-792*x^2+264*x-41)/(432*x^3-612*x^2+222*x-1) ogf] A208393 4.83379 [{-a(n+4)+8*a(n+3)+6*a(n+2),a(0)=2,a(1)=14,a(2)=117,a(3)=1017} ogf] A208393 5.37087 [(20553*f(x)+6901)*(6*f(x)*x^2-3*x^3+8*f(x)*x-7*x^2-f(x)-2*x+2) ogf] A208393 9.50910 [(x+1)*(3*x^2+4*x-2)/(6*x^2+8*x-1) ogf] A208394 5.65499 [(24*x^5+4*x^4-78*x^3-42*x^2+12*x+5)/(2*x+1)/(24*x^3-32*x^2-24*x+1) ogf] A208402 4.03839 [-(26182485*f(x)+13313582)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+40*x^2-f(x)-27*x+2) ogf] A208402 4.58596 [{-a(n+3)+21*a(n+2)-84*a(n+1)+64*a(n),a(0)=2,a(1)=15,a(2)=187} ogf] A208402 8.19914 [-(40*x^2-27*x+2)/(x-1)/(4*x-1)/(16*x-1) ogf] A208403 4.63619 [{a(n+3)-70*a(n+2)+441*a(n+1),a(0)=5,a(1)=182,a(2)=10682} ogf] A208403 4.85487 [-(44*f(x)-51)*(441*f(x)*x^2-70*f(x)*x-147*x^2+f(x)+168*x-5) ogf] A208403 5.41702 [-(63798*x^2-4116*x+182)/(-64827*x^4+84378*x^3-14112*x^2+518*x-5) lgdogf] A208403 8.57695 [(147*x^2-168*x+5)/(63*x-1)/(7*x-1) ogf] A208404 4.45891 [(192*x^4-1276*x^3+2349*x^2-1232*x+15)/(4*x^2-13*x+1)/(144*x^2-249*x+1) ogf] A208409 5.32980 [(x+1)*(8*x^4+22*x^3-3*x^2-23*x+2)/(2*x^2+3*x-1)/(12*x^2+15*x-1) ogf] A208421 5.99488 [-9*(2*x^4-3*x^3-5*x^2+6*x+1)/(2*x^5-3*x^4-6*x^3+7*x^2+3*x-1) ogf] A208428 14.0052 [2*(x^2-3*x-1)/(4*x-1) ogf] A208428 7.32829 [{-a(n+3)+4*a(n+2),a(0)=2,a(1)=14,a(2)=54} ogf] A208428 8.18486 [(13*f(x)+23)*(4*f(x)*x-2*x^2-f(x)+6*x+2) ogf] A208428 9.69589 [-(4*x^2-2*x+7)/(-4*x^3+13*x^2+x-1) lgdogf] A208435 5.89655 [-(4*x^11-x^10+3*x^9-2*x^8-x^6+4*x^5-x^4-2*x^2+3*x-1)/(-x^12+1) ogf_with_Euler_transform] A208439 6.08904 [-2*(x-1)*(6*x^3+3*x^2+8*x+3)/(8*x^5-8*x^4+7*x^3-10*x^2-3*x+1) ogf] A208451 11.9164 [-(4*x^3+4*x^2+6*x+4)/(-x^4+1) ogf_with_Euler_transform] A208451 99.9999 Evaluated at exp(-Pi) 1/2*Pi*2^(1/4)/GAMMA(3/4)^4 A208457 5.89655 [-(4*x^11+x^10+2*x^9+2*x^8+x^6+2*x^5+x^4+2*x^2+2*x+1)/(-x^12+1) ogf_with_Euler_transform] A208473 3.25765 [{(-16*n^2-64*n-60)*a(n+1)+(-16*n^2-72*n-80)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=6,a(2)=78} ogf] A208481 14.3348 [(x-1)/(x^4+x^3+3*x-1) ogf] A208481 6.97012 [-(78*f(x)-31)*(f(x)*x^4+f(x)*x^3+3*f(x)*x-f(x)-x+1) ogf] A208481 9.04455 [-(3*x^4-2*x^3-3*x^2-2)/(x^5-x^3+3*x^2-4*x+1) lgdogf] A208485 11.0551 [-8*(28*x-19)/(14*x^2-11*x+1) ogf] A208485 5.52754 [-(1459*f(x)+40320)*(14*f(x)*x^2-11*f(x)*x+f(x)+224*x-152) ogf] A208485 6.33493 [{a(n+2)-11*a(n+1)+14*a(n),a(0)=152,a(1)=1448} ogf] A208485 7.32219 [-(-392*x^2+532*x-181)/(-392*x^3+574*x^2-237*x+19) lgdogf] A208486 4.22250 [-8*(832*x^4+2664*x^3-4084*x^2+1615*x-181)/(104*x^5+328*x^4-528*x^3+227*x^2-32*x+1) ogf] A208496 4.20622 [2*(2*x^10-6*x^9-2*x^8-12*x^7+11*x^6-3*x^5-9*x^4-33*x^3-27*x^2-18*x-3)/(x^9+x^7-2*x^6+2*x^5+2*x^4+4*x^3+x^2-1) ogf] A208502 10.5888 [9*(14*x^3-x^2-8*x-1)/(4*x^2+x-1) ogf] A208502 5.69483 [{-a(n+4)+a(n+3)+4*a(n+2),a(0)=9,a(1)=81,a(2)=126,a(3)=324} ogf] A208502 6.10526 [(2123*f(x)+50205)*(4*f(x)*x^2-126*x^3+f(x)*x+9*x^2-f(x)+72*x+9) ogf] A208503 4.08606 [{a(n+5)-a(n+4)-6*a(n+3)+3*a(n+2),a(0)=13,a(1)=169,a(2)=234,a(3)=650,a(4)=1794} ogf] A208503 4.28064 [(168479*f(x)-25618463)*(3*f(x)*x^3-247*x^4-6*f(x)*x^2+559*x^3-f(x)*x+13*x^2+f(x)-156*x-13) ogf] A208503 7.40299 [13*(19*x^4-43*x^3-x^2+12*x+1)/(3*x^3-6*x^2-x+1) ogf] A208504 5.38998 [19*(40*x^6-52*x^5-113*x^4+96*x^3+21*x^2-17*x-1)/(4*x^5-4*x^4-11*x^3+7*x^2+2*x-1) ogf] A208505 4.81910 [28*(136*x^6-160*x^5-170*x^4+170*x^3+32*x^2-26*x-1)/(8*x^5-8*x^4-10*x^3+8*x^2+2*x-1) ogf] A208528 11.4557 [-f(x)*x^2+2*f(x)*x-f(x)+4*x egf] A208528 18.2671 [4*x/(x-1)^2 egf] A208528 24.1387 [2/(-x+1) lgdegf] A208528 6.08904 [{(-n^2-4*n-4)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=4} ogf] A208529 16.5107 [-f(x)*x+f(x)-2 egf] A208529 27.0775 [-2/(x-1) egf] A208529 28.2058 [1/(-x+1) lgdegf] A208529 7.69248 [{(-n-2)*a(n+1)+a(n+2),a(0)=2,a(1)=2} ogf] A208531 5.12646 [(4*x^11-6*x^10+6*x^9-10*x^8+7*x^7-7*x^6+8*x^5-2*x^4+4*x^2-4*x+2)/(x-1)^4 ogf] A208536 16.4495 [-(4*x+8)/(x^2-1) lgdogf] A208536 34.1623 [[8-2*x] ogf_with_Euler_transform] A208536 5.48317 [{(n+1)*a(n+3)-8*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=6} ogf] A208536 7.46163 [6*x^2*(x+1)^2/(x-1)^6 ogf] A208537 4.96764 [6*x^2*(3*x^4+28*x^3+58*x^2+28*x+3)/(x-1)^8 ogf] A208545 5.22210 [3*x^2*(3*x^4+28*x^3+58*x^2+28*x+3)/(x-1)^8 ogf] A208556 5.07635 [-(1213*f(x)+8484)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+72*x^2+f(x)-54*x-9) ogf] A208556 5.42948 [{-a(n+3)+3*a(n+2)+6*a(n+1)-8*a(n),a(0)=9,a(1)=81,a(2)=225} ogf] A208556 9.91095 [-9*(8*x^2-6*x-1)/(x-1)/(2*x+1)/(4*x-1) ogf] A208557 4.03946 [(1663*f(x)-818484)*(36*f(x)*x^4-6*f(x)*x^3-17*f(x)*x^2+432*x^3-f(x)*x-72*x^2+f(x)-132*x-12) ogf] A208557 7.27104 [-12*(36*x^3-6*x^2-11*x-1)/(3*x^2-x-1)/(12*x^2+2*x-1) ogf] A208558 4.56168 [-(83467*f(x)+1830528)*(27*f(x)*x^3-12*f(x)*x^2-4*f(x)*x+432*x^2+f(x)-192*x-16) ogf] A208558 5.06002 [{-a(n+3)+4*a(n+2)+12*a(n+1)-27*a(n),a(0)=16,a(1)=256,a(2)=784} ogf] A208558 8.85503 [-16*(27*x^2-12*x-1)/(3*x+1)/(9*x^2-7*x+1) ogf] A208559 3.58453 [(45223*f(x)-123659220)*(144*f(x)*x^4-12*f(x)*x^3-31*f(x)*x^2+2880*x^3-f(x)*x-240*x^2+f(x)-380*x-20) ogf] A208559 6.48438 [-20*(144*x^3-12*x^2-19*x-1)/(144*x^4-12*x^3-31*x^2-x+1) ogf] A208561 11.1351 [2*(x-1)*(2*x-1)/(8*x^2-8*x+1) ogf] A208561 5.67461 [{a(n+3)-8*a(n+2)+8*a(n+1),a(0)=2,a(1)=10,a(2)=68} ogf] A208561 5.84316 [-(-184+717*f(x))*(8*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+6*x-2) ogf] A208561 7.66440 [-(8*x^2-12*x+5)/(-16*x^4+40*x^3-34*x^2+11*x-1) lgdogf] A208562 2.88413 [-(-4904851+14191281*f(x))*(60*f(x)*x^4-180*f(x)*x^3-30*x^4+110*f(x)*x^2+110*x^3-22*f(x)*x-113*x^2+f(x)+42*x-5) ogf] A208562 5.17360 [(30*x^4-110*x^3+113*x^2-42*x+5)/(60*x^4-180*x^3+110*x^2-22*x+1) ogf] A208589 4.91386 [-(-2*x^5+x^4-x^3+x^2-x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A208589 99.9999 Evaluated at exp(-Pi) 2*exp(-1/2*Pi)*2^(1/2)*(2+2^(1/2))^(1/2) A208598 10.1564 [-(x^3-4*x^2+x-6)/(x-1)^4 ogf] A208598 3.99002 [{(161*n^2+967*n+1290)*a(n+1)+(-30*n^2+816*n+2718)*a(n+2)+(-131*n^2-907*n-1542)*a(n+3),a(0)=6,a(1)=23,a(2)=60} ogf] A208598 5.43085 [(5128*f(x)+30205)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-4*x^2+f(x)+x-6) ogf] A208598 9.65485 [-(-x^3+5*x^2+5*x+23)/(-x^4+5*x^3-5*x^2+7*x-6) lgdogf] A208599 7.26459 [-(-x^4+4*x^3-36*x^2-120*x-77)/(-x^5+5*x^4-20*x^3-6*x^2+11*x+11) lgdogf] A208599 7.63523 [-(x^4-4*x^3+16*x^2+22*x+11)/(x-1)^5 ogf] A208600 5.98087 [-(x^5-6*x^4-8*x^3-172*x^2-141*x-26)/(x-1)^6 ogf] A208601 4.65193 [-(x^6-6*x^5+71*x^4+750*x^3+1727*x^2+764*x+57)/(x-1)^7 ogf] A208603 4.14914 [-(2*x^9-x^8+x^7-x^2+x-2)/(x^11+x^10+x^9+x^8+x^3+x^2+x+1) ogf_with_Euler_transform] A208633 10.1493 [-(4*x^2-17*x+8)/(x^3-6*x^2+5*x-1) ogf] A208633 5.07463 [-(64501*f(x)+33660)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-17*x+8) ogf] A208633 5.51977 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n),a(0)=8,a(1)=23,a(2)=71} ogf] A208634 4.92721 [-(2977*f(x)+11244)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x+28*x^2-f(x)-49*x+16) ogf] A208634 5.30621 [{-a(n+3)+6*a(n+2)-10*a(n+1)+4*a(n),a(0)=16,a(1)=47,a(2)=150} ogf] A208634 9.55118 [-(28*x^2-49*x+16)/(2*x-1)/(2*x^2-4*x+1) ogf] A208635 3.85907 [-(14695501342*f(x)+21345658621)*(f(x)*x^4-10*f(x)*x^3+15*f(x)*x^2+16*x^3-7*f(x)*x-124*x^2+f(x)+129*x-32) ogf] A208635 7.67273 [-(16*x^3-124*x^2+129*x-32)/(x-1)/(x^3-9*x^2+6*x-1) ogf] A208636 3.65804 [(221895693930*f(x)+2448791382451)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2+144*x^3-8*f(x)*x-444*x^2+f(x)+321*x-64) ogf] A208636 7.18847 [-(144*x^3-444*x^2+321*x-64)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A208638 10.3022 [-(-12*x^2+27*x-13)/(-6*x^3+17*x^2-15*x+4) lgdogf] A208638 13.4123 [(3*x-4)/(2*x-1)/(x-1)^2 ogf] A208638 6.23554 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=4,a(1)=13,a(2)=32} ogf] A208638 6.46228 [(4401*f(x)-28916)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)-3*x+4) ogf] A208639 4.50298 [(602699*f(x)-7182808)*(2*f(x)*x^4-7*f(x)*x^3-2*x^4+9*f(x)*x^2-5*f(x)*x+3*x^2+f(x)+6*x-8) ogf] A208639 8.65506 [(2*x^4-3*x^2-6*x+8)/(2*x-1)/(x-1)^3 ogf] A208640 5.89782 [(4*x^6+2*x^5-16*x^4-8*x^3+26*x^2+7*x-16)/(2*x-1)/(x-1)^4 ogf] A208641 4.66090 [(8*x^8+4*x^7-34*x^6-37*x^5+85*x^4+74*x^3-140*x^2+9*x+32)/(2*x-1)/(x-1)^5 ogf] A208642 3.74330 [(16*x^10+8*x^9-78*x^8-77*x^7+144*x^6+378*x^5-428*x^4-402*x^3+600*x^2-98*x-64)/(2*x-1)/(x-1)^6 ogf] A208658 4.45826 [-(964*f(x)-27575)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-2*x^3-6*f(x)*x+7*x^2+f(x)-4*x) ogf] A208658 7.51683 [-(8*x^3-42*x^2+49*x-17)/(4*x^4-20*x^3+31*x^2-19*x+4) lgdogf] A208658 8.61929 [x*(2*x^2-7*x+4)/(x-1)^2/(2*x-1)^2 ogf] A208672 5.22038 [-(x^22-x^21+x^11-2*x^7-2*x^6-x^5-2*x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A208674 7.86797 [-(4*x^4+2*x^3+6*x^2-4*x+1)/(2*x^2+2*x-1)/(2*x^3-3*x^2-3*x+1) ogf] A208689 10.6274 [-6*(3*x^2-4*x-1)/(3*x-1)/(x^2-x-1) ogf] A208689 5.3137 [-(67333*f(x)+234000)*(3*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+18*x^2+f(x)-24*x-6) ogf] A208689 5.87304 [{-a(n+3)+2*a(n+2)+4*a(n+1)-3*a(n),a(0)=6,a(1)=36,a(2)=78} ogf] A208689 6.69527 [-(-9*x^4+24*x^3-13*x^2-2*x-6)/(-9*x^5+24*x^4-7*x^3-15*x^2+2*x+1) lgdogf] A208690 4.31909 [(38047*f(x)-772360)*(10*f(x)*x^4-2*f(x)*x^3-10*f(x)*x^2+90*x^3-f(x)*x-18*x^2+f(x)-72*x-9) ogf] A208690 7.95344 [-9*(10*x^3-2*x^2-8*x-1)/(10*x^4-2*x^3-10*x^2-x+1) ogf] A208691 3.99472 [(284573*f(x)-19698224)*(32*f(x)*x^4-4*f(x)*x^3-17*f(x)*x^2+448*x^3-f(x)*x-56*x^2+f(x)-182*x-14) ogf] A208691 7.37848 [-14*(32*x^3-4*x^2-13*x-1)/(32*x^4-4*x^3-17*x^2-x+1) ogf] A208692 3.40562 [(761317357*f(x)-104377322868)*(78*f(x)*x^4-6*f(x)*x^3-26*f(x)*x^2+1638*x^3-f(x)*x-126*x^2+f(x)-420*x-21) ogf] A208692 6.49807 [-21*(78*x^3-6*x^2-20*x-1)/(78*x^4-6*x^3-26*x^2-x+1) ogf] A208693 3.78051 [(1275071*f(x)-374981580)*(180*f(x)*x^4-9*f(x)*x^3-39*f(x)*x^2+5580*x^3-f(x)*x-279*x^2+f(x)-930*x-31) ogf] A208693 6.95959 [-31*(180*x^3-9*x^2-30*x-1)/(5*x+1)/(36*x^3-9*x^2-6*x+1) ogf] A208704 11.8101 [{a(n+1)-7*a(n),a(0)=4} ogf] A208704 14.9787 [-7*f(x)*x+f(x)-4 ogf] A208704 21.9330 [7/(-7*x+1) lgdogf] A208704 24.5650 [-4/(7*x-1) ogf] A208705 10.5479 [-4*(x-2)/(4*x^2-13*x+1) ogf] A208705 5.21724 [-(309*f(x)+28)*(4*f(x)*x^2-13*f(x)*x+f(x)+4*x-8) ogf] A208705 5.70827 [{a(n+2)-13*a(n+1)+4*a(n),a(0)=8,a(1)=100} ogf] A208705 7.13534 [-(-4*x^2+16*x-25)/(-4*x^3+21*x^2-27*x+2) lgdogf] A208706 3.44998 [{a(n+4)-24*a(n+3)+28*a(n+2)-16*a(n+1),a(0)=16,a(1)=356,a(2)=8128,a(3)=185344} ogf] A208706 3.59784 [-(241712+526173*f(x))*(16*f(x)*x^3-28*f(x)*x^2-16*x^3+24*f(x)*x+32*x^2-f(x)-28*x+16) ogf] A208706 6.62759 [4*(4*x^3-8*x^2+7*x-4)/(16*x^3-28*x^2+24*x-1) ogf] A208710 4.31041 [-(201*f(x)-1604)*(2*f(x)*x^4-f(x)*x^3-9*f(x)*x^2+4*x^3-5*f(x)*x+f(x)-12*x-4) ogf] A208710 8.55923 [-4*(x^3-3*x-1)/(x+1)/(2*x^3-3*x^2-6*x+1) ogf] A208736 6.26568 [-5*f(x)*x^4+3*x^5+20*f(x)*x^3-3*x^4-21*f(x)*x^2+x^3+8*f(x)*x-f(x) ogf] A208736 9.27954 [x^3*(3*x^2-3*x+1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A208737 7.43139 [-x^3*(3*x^2-3*x+1)/(x-1)/(3*x-1)/(3*x^3-9*x^2+6*x-1) ogf] A208778 10.2515 [26*(22*x^3+21*x^2-25*x-1)/(x^2+x-1) ogf] A208778 5.76116 [{-a(n+4)+a(n+3)+a(n+2),a(0)=26,a(1)=676,a(2)=156,a(3)=260} ogf] A208778 5.95811 [(4113*f(x)+4022278)*(f(x)*x^2-572*x^3+f(x)*x-546*x^2-f(x)+650*x+26) ogf] A208779 5.57574 [{-a(n+4)+a(n+3)+a(n+2),a(0)=42,a(1)=1764,a(2)=252,a(3)=420} ogf] A208779 5.62181 [(4091*f(x)+10908114)*(f(x)*x^2-1596*x^3+f(x)*x-1554*x^2-f(x)+1722*x+42) ogf] A208779 9.58084 [42*(38*x^3+37*x^2-41*x-1)/(x^2+x-1) ogf] A208790 4.23314 [(2633*f(x)-5712)*(4*f(x)*x^4-10*f(x)*x^3-16*f(x)*x^2+8*x^3-2*f(x)*x-4*x^2+f(x)-18*x-6) ogf] A208790 7.72548 [-2*(x+1)*(4*x^2-6*x-3)/(4*x^4-10*x^3-16*x^2-2*x+1) ogf] A208826 5.51793 [-(x^6-2*x^5+5*x^4+30*x^3+27*x^2+24*x+7)/(x+1)^2/(x-1)^5 ogf] A208827 6.17826 [-(x^5-6*x^4+2*x^3-96*x^2-59*x-18)/(x-1)^6 ogf] A208828 3.74856 [-(x^9-4*x^8+28*x^7+462*x^6+2126*x^5+4100*x^4+4180*x^3+2050*x^2+481*x+32)/(x+1)^3/(x-1)^7 ogf] A208841 10.1032 [-9*(6*x^2-7*x-1)/(6*x^3-7*x^2-2*x+1) ogf] A208841 4.9727 [-(505099*f(x)+3445794)*(6*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+54*x^2+f(x)-63*x-9) ogf] A208841 5.53482 [{a(n+3)-2*a(n+2)-7*a(n+1)+6*a(n),a(0)=9,a(1)=81,a(2)=171} ogf] A208842 4.40011 [-(62194301*f(x)+757049216)*(11*f(x)*x^3-12*f(x)*x^2-2*f(x)*x+154*x^2+f(x)-168*x-14) ogf] A208842 5.06567 [{-a(n+3)+2*a(n+2)+12*a(n+1)-11*a(n),a(0)=14,a(1)=196,a(2)=406} ogf] A208842 8.86493 [-14*(11*x^2-12*x-1)/(11*x^3-12*x^2-2*x+1) ogf] A208843 3.88415 [-(1797257333*f(x)+36748175728)*(19*f(x)*x^3-20*f(x)*x^2-2*f(x)*x+418*x^2+f(x)-440*x-22) ogf] A208843 4.60224 [{-a(n+3)+2*a(n+2)+20*a(n+1)-19*a(n),a(0)=22,a(1)=484,a(2)=990} ogf] A208843 8.05391 [-22*(19*x^2-20*x-1)/(19*x^3-20*x^2-2*x+1) ogf] A208844 4.22375 [-(13124209121*f(x)+441531920480)*(32*f(x)*x^3-33*f(x)*x^2-2*f(x)*x+1120*x^2+f(x)-1155*x-35) ogf] A208844 5.06152 [{-a(n+3)+2*a(n+2)+33*a(n+1)-32*a(n),a(0)=35,a(1)=1225,a(2)=2485} ogf] A208844 8.74920 [-35*(32*x^2-33*x-1)/(32*x^3-33*x^2-2*x+1) ogf] A208845 10.0892 [-(-2*x^3+2*x^2-4*x+2)/(x^4-1) ogf_with_Euler_transform] A208845 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/12*Pi)*Pi^(1/2)*2^(1/2)/GAMMA(3/4)^2 A208850 99.9999 Evaluated at exp(-Pi) 1/2*2^(1/4)*(2+2^(1/2))^(1/2) A208858 3.63696 [{-a(n+4)+17*a(n+3)-48*a(n+2)+36*a(n+1),a(0)=2,a(1)=11,a(2)=127,a(3)=1691} ogf] A208858 3.85573 [(22134*f(x)+37823)*(36*f(x)*x^3-48*f(x)*x^2-12*x^3+17*f(x)*x+36*x^2-f(x)-23*x+2) ogf] A208858 6.83748 [(12*x^3-36*x^2+23*x-2)/(2*x-1)/(18*x^2-15*x+1) ogf] A208859 4.50619 [(240*x^5-1710*x^4+3389*x^3-1318*x^2+168*x-5)/(2*x-1)/(360*x^4-1233*x^3+489*x^2-57*x+1) ogf] A208866 3.11991 [(1683922860*f(x)-325010153)*(9*f(x)*x^4-42*f(x)*x^3-3*x^4+55*f(x)*x^2+19*x^3-18*f(x)*x-37*x^2+f(x)+24*x-2) ogf] A208866 5.75982 [(3*x^4-19*x^3+37*x^2-24*x+2)/(x^2-3*x+1)/(9*x^2-15*x+1) ogf] A208867 4.93158 [(54*x^4-267*x^3+345*x^2-139*x+5)/(x-1)/(3*x-1)/(54*x^2-51*x+1) ogf] A208873 2.96348 [-(1132591183+228654600*f(x))*(36*f(x)*x^4-84*f(x)*x^3-12*x^4+65*f(x)*x^2+38*x^3-18*f(x)*x-50*x^2+f(x)+24*x-2) ogf] A208873 5.54456 [2*(6*x^4-19*x^3+25*x^2-12*x+1)/(x-1)/(2*x-1)/(18*x^2-15*x+1) ogf] A208880 7.71310 [-(11*x^6-10*x^5-22*x^4+24*x^3+2*x^2-2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A208881 6.27631 [{(27*n^2+27*n+6)*a(n)+(-n^2-2*n-1)*a(n+1),a(0)=1,a(1)=2} ogf] A208887 8.48455 [-2*f(x)^2*x^3+f(x)^2*x-2*f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A208888 12.0364 [2*f(x)^2*x^3-f(x)^2*x^2+f(x)-2*x-1 ogf] A208888 7.89889 [-1/4*(-x^2+(x^4-8*x^3+2*x^2+8*x+1)^(1/2)-1)/(x^2-1) revogf] A208890 13.1801 [hypergeom([1/4,1/2],[1],32*x) ogf] A208890 5.35776 [{(-32*n^2-88*n-60)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A208900 12.6677 [-2*(2*x^3-2*x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A208900 6.66145 [-(f(x)+26)*(4*f(x)*x^4-6*f(x)*x^3+4*x^3+3*f(x)*x-f(x)-4*x+2) ogf] A208901 11.7268 [-(12*x^2-4*x-2)/(4*x^3-2*x^2-2*x+1) lgdogf] A208901 16.9386 [4*x^2/(2*x-1)/(2*x^2-1) ogf] A208901 6.92945 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A208901 9.41035 [-4*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+4*x^2-f(x) ogf] A208902 8.06084 [-2*(2*x^4-6*x^3+2*x^2+2*x-1)/(x-1)/(2*x^2-1)/(2*x-1)^2 ogf] A208903 8.37743 [4*x*(3*x^3-x^2-2*x+1)/(x-1)/(2*x^2-1)/(2*x-1)^2 ogf] A208933 4.71666 [(52*x^20-125*x^16-98*x^12-42*x^8-100*x^4-49)/(52*x^20+42*x^17-125*x^16+48*x^13-98*x^12+174*x^9-42*x^8+4*x^5-100*x^4+98*x-49) ogf] A208946 7.74300 [-(x^4-7*x^3-6*x^2-7*x-5)/(x^2+x+1)/(x-1)^4 ogf] A208947 4.43868 [2*(x^8-6*x^7-21*x^6-48*x^5-63*x^4-66*x^3-47*x^2-22*x-4)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^5 ogf] A208948 4.99830 [2*(7*x^5+88*x^4+169*x^3+172*x^2+82*x+10)/(x^2+x+1)/(x-1)^6 ogf] A208950 4.47538 [x^2*(x^12+x^11+5*x^10+5*x^9+31*x^8+10*x^7+22*x^6+10*x^5+31*x^4+5*x^3+5*x^2+x+1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A208954 10.0862 [-(8*x^3+71*x^2+104*x+27)/(2*x^4+11*x^3-11*x-2) lgdogf] A208954 4.32265 [{(-7*n^2-51*n-92)*a(n+1)+(14*n^2+84*n+232)*a(n+2)+(-7*n^2-33*n-38)*a(n+3),a(0)=0,a(1)=4,a(2)=54} ogf] A208954 7.08759 [-2*x*(x+1)*(2*x^2+11*x+2)/(x-1)^7 ogf] A208971 7.75544 [-(x^5-2*x^4-x^3+3*x^2-x-1)/(x+1)^2/(x-1)^4 ogf] A208976 4.31585 [2*f(x)^2*x^5-5*f(x)^2*x^4+4*f(x)^2*x^3+2*f(x)*x^4-f(x)^2*x^2-7*f(x)*x^3+5*f(x)*x^2+x^3+f(x)*x-2*x^2-f(x)+x+1 ogf] A208978 4.78476 [-(2*x^11-x^10+2*x^9-2*x^8+x^7-x^6+4*x^5-x^4+x^3-2*x^2+2*x-1)/(-x^12+1) ogf_with_Euler_transform] A208978 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/6*Pi)*Pi^(1/3)*3^(2/3)*GAMMA(2/3)^(1/3)/GAMMA(3/4)^(5/3)*(2^(1/2)*(1+3^(1/2)))^(1/3)/GAMMA(11/12)^(1/3) A208994 21.8868 [-x^5-x^3+2*x^2+2*x+1 ogf_with_Euler_transform] A208994 9.68963 [-(x^2+1)*(x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A208995 7.71118 [-(-x^5+3*x^4+2*x^3+10*x^2+11*x+7)/(-x^6+3*x^5-2*x^3+3*x^2-x-2) lgdogf] A208995 8.78909 [-(x^4-3*x^3+x^2-x-2)/(x+1)/(x-1)^4 ogf] A208996 3.95876 [-(x^10-x^9+14*x^7+25*x^6+32*x^5+39*x^4+36*x^3+22*x^2+11*x+3)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A209008 9.40158 [-(x^4-3*x^3+2*x^2-1)/(x+1)/(x-1)^4 ogf] A209013 4.52361 [-2*(2*x^5-22*x^4+16*x^3+33*x^2-17*x-6)/(12*x^6-44*x^5+40*x^4+52*x^3-38*x^2-8*x+1) ogf] A209033 3.62820 [-(x^12-x^11+9*x^9+12*x^8+23*x^7+32*x^6+32*x^5+29*x^4+24*x^3+12*x^2+7*x+2)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A209037 5.46733 [(x^13-x^11+x^10+x^9-x^8-6*x^7-3*x^6+3*x^5+2*x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A209041 4.30648 [-(44753*f(x)-19676)*(3*f(x)*x^3+5*f(x)*x^2-11*f(x)*x+4*x^2+f(x)+8*x-12) ogf] A209041 4.52361 [{a(n+3)-11*a(n+2)+5*a(n+1)+3*a(n),a(0)=12,a(1)=124,a(2)=1300} ogf] A209041 8.54460 [-4*(x+3)*(x-1)/(3*x^3+5*x^2-11*x+1) ogf] A209074 4.69152 [-2*(4*x^7+21*x^6+49*x^5+64*x^4+66*x^3+45*x^2+23*x+4)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^5 ogf] A209075 4.24098 [-(2*x^8-9*x^7+16*x^6-30*x^5-161*x^4-355*x^3-330*x^2-170*x-19)/(x^2+x+1)/(x-1)^6 ogf] A209084 12.4571 [4*f(x)*x^2+2*f(x)*x-f(x)+4*x ogf] A209084 15.3119 [-(-8*x-2)/(-4*x^2-2*x+1) lgdogf] A209084 19.8641 [-4*x/(4*x^2+2*x-1) ogf] A209084 9.07373 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=0,a(1)=4} ogf] A209094 11.4742 [(2*x-1)*(x-2)/(4*x^2-8*x+1) ogf] A209094 5.84743 [{a(n+3)-8*a(n+2)+4*a(n+1),a(0)=2,a(1)=11,a(2)=82} ogf] A209094 6.14276 [-(-31+76*f(x))*(4*f(x)*x^2-8*f(x)*x-2*x^2+f(x)+5*x-2) ogf] A209094 7.89783 [-(4*x^2-12*x+11)/(-8*x^4+36*x^3-50*x^2+21*x-2) lgdogf] A209095 3.62569 [{a(n+4)-20*a(n+3)+44*a(n+2)-16*a(n+1),a(0)=5,a(1)=76,a(2)=1326,a(3)=23248} ogf] A209095 3.75706 [(-21009829+68409246*f(x))*(16*f(x)*x^3-44*f(x)*x^2-8*x^3+20*f(x)*x+26*x^2-f(x)-24*x+5) ogf] A209095 7.00641 [(4*x-5)*(2*x^2-4*x+1)/(2*x-1)/(8*x^2-18*x+1) ogf] A209096 4.80167 [2*(28*x^5-177*x^4+337*x^3-216*x^2+83*x-7)/(64*x^5-425*x^4+705*x^3-356*x^2+49*x-1) ogf] A209101 11.1351 [(4*x^2-5*x+2)/(8*x^2-8*x+1) ogf] A209101 5.67461 [{-a(n+3)+8*a(n+2)-8*a(n+1),a(0)=2,a(1)=11,a(2)=76} ogf] A209101 6.27829 [(-7+64*f(x))*(8*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+5*x-2) ogf] A209101 7.56614 [-(-8*x^2+24*x-11)/(32*x^4-72*x^3+60*x^2-21*x+2) lgdogf] A209102 2.90006 [(2889471465*f(x)-1265159444)*(60*f(x)*x^4-180*f(x)*x^3-48*x^4+110*f(x)*x^2+124*x^3-22*f(x)*x-72*x^2+f(x)+28*x-5) ogf] A209102 5.25636 [(48*x^4-124*x^3+72*x^2-28*x+5)/(60*x^4-180*x^3+110*x^2-22*x+1) ogf] A209116 7.66709 [-(3*x^4-11*x^3-4*x^2-7*x-5)/(x^2+x+1)/(x-1)^4 ogf] A209117 4.23577 [(x^9-2*x^8-5*x^7-39*x^6-103*x^5-127*x^4-137*x^3-87*x^2-48*x-5)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^5 ogf] A209200 13.5157 [-(24*x-4)/(32*x^2-12*x+1) lgdogf] A209200 27.0775 [-(24*x-4)/(32*x^2-12*x+1) lgdogf] A209200 4.44711 [{(-n-3)*a(n+3)+(28+12*n)*a(n+2)+(-56-32*n)*a(n+1),a(0)=1,a(1)=4,a(2)=20} ogf] A209220 5.47866 [(17*x^7-44*x^6+28*x^5-44*x^4+6*x^3+10*x^2+72*x+9)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A209225 6.35956 [(784*x^6+1008*x^5+160*x^4-34*x^3-45*x^2-72*x-9)/(4*x^2+1)/(4*x^2+x-1) ogf] A209226 3.31642 [(3078*x^11-2793*x^10-6855*x^9-960*x^8-3243*x^7+2032*x^6+5420*x^5+438*x^4-51*x^3-65*x^2-156*x-13)/(3*x^3-6*x^2-x+1)/(9*x^6+3*x^4-6*x^2-1) ogf] A209230 4.40284 [-(3*f(x)-1)*(2*f(x)*x^4-x^4-4*f(x)*x^2+x^3+4*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A209230 7.49055 [(x^2+x-1)*(x-1)^2/(2*x^4-4*x^2+4*x-1) ogf] A209231 13.1604 [x^4/(x-1)/(x^5-x^2+2*x-1) ogf] A209231 7.81397 [-(6*x^5-5*x^4-3*x^2+6*x-3)/(x^6-x^5-x^3+3*x^2-3*x+1) lgdogf] A209239 4.80141 [-f(x)*(2*f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+x+1) ogf] A209239 8.29335 [-(x+1)*(x^2+1)/(2*x^4+2*x^3+2*x^2+2*x-1) ogf] A209262 7.43169 [-(4*x^4+29*x^3+57*x^2+5*x+1)/(x-1)^5 ogf] A209263 6.45652 [(x^5+105*x^4+302*x^3+182*x^2+9*x+1)/(x-1)^6 ogf] A209264 4.69037 [-(5*x^6+238*x^5+1615*x^4+1932*x^3+515*x^2+14*x+1)/(x-1)^7 ogf] A209265 3.98710 [(2*x^7+607*x^6+6960*x^5+16595*x^4+9754*x^3+1341*x^2+20*x+1)/(x-1)^8 ogf] A209267 3.48149 [-(6*x^8+1371*x^7+27991*x^6+115317*x^5+131793*x^4+42757*x^3+3297*x^2+27*x+1)/(x-1)^9 ogf] A209294 10.1586 [-(-2*x^2-10*x-9)/(-2*x^3-x^2+x+2) lgdogf] A209294 10.8248 [-(2*x^2+3*x+2)/(x-1)^3 ogf] A209294 5.84345 [(33*f(x)-85)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+3*x+2) ogf] A209294 5.84345 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=9,a(2)=23} ogf] A209345 8.03044 [-(x^4-4*x^3-2*x^2-3*x-4)/(x^2+x+1)/(x-1)^4 ogf] A209346 4.58633 [-(x^7+4*x^6+28*x^5+63*x^4+85*x^3+60*x^2+30*x+5)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A209347 4.70530 [2*(5*x^6+48*x^5+128*x^4+167*x^3+128*x^2+45*x+7)/(x+1)/(x^2+x+1)/(x-1)^6 ogf] A209350 8.99904 [-(3*x^6-5*x^5-2*x^4+5*x^3+x^2-2*x+1)/(x+1)/(x-1)^3 ogf] A209358 14.2019 [-(12*x-2)/(32*x^2-12*x+1) lgdogf] A209358 28.4702 [-(12*x-2)/(32*x^2-12*x+1) lgdogf] A209358 4.70323 [{(-n-3)*a(n+3)+(26+12*n)*a(n+2)+(-44-32*n)*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A209359 7.14972 [-(-48*x^4-336*x^3+24*x^2+252*x+33)/(-16*x^5-64*x^4+80*x^3+20*x^2-19*x-1) lgdogf] A209359 7.14972 [x*(2*x+1)*(4*x^2+20*x+1)/(x-1)/(2*x-1)^5 ogf] A209368 4.27626 [(16*x^10+73*x^9+93*x^8-32*x^7-218*x^6-252*x^5-160*x^4-18*x^3+37*x^2+31*x+8)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A209369 3.49577 [(35*x^11+122*x^10+111*x^9-163*x^8-476*x^7-423*x^6-315*x^5-252*x^4-83*x^3-53*x^2+46*x+19)/(x^3+2*x^2+2*x-1)/(x^6-2*x^4-2*x^2-1) ogf] A209376 7.62074 [-(20*x^4-8*x^3-31*x^2+9*x+8)/(x-1)/(4*x^4-6*x^2+1) ogf] A209377 5.78168 [(132888*f(x)-1079557)*(12*f(x)*x^4-8*f(x)*x^2+116*x^3+64*x^2+f(x)-34*x-16) ogf] A209377 9.60900 [-2*(58*x^3+32*x^2-17*x-8)/(6*x^2-1)/(2*x^2-1) ogf] A209378 4.03789 [-4*(548*x^7-502*x^6-472*x^5+449*x^4+107*x^3-117*x^2-4*x+8)/(x-1)/(2*x-1)/(2*x^2-1)/(28*x^4-12*x^2+1) ogf] A209379 6.26615 [-2*(1496*x^5+704*x^4-822*x^3-352*x^2+85*x+32)/(2*x-1)/(2*x+1)/(2*x^2-1)/(10*x^2-1) ogf] A209381 4.11313 [-2*(79040*x^7+30976*x^6-55064*x^5-19840*x^4+9806*x^3+3200*x^2-441*x-128)/(2*x-1)/(2*x+1)/(2*x^2-1)/(8*x^2-1)/(18*x^2-1) ogf] A209398 7.32139 [-(8*x^5+23*x^4+6*x^3-4*x^2+8*x-7)/(2*x^6+5*x^5+x^4+x^2-5*x+2) lgdogf] A209398 9.98371 [x^3*(x+2)/(2*x-1)/(x^2+1)/(x^2+x-1) ogf] A209399 5.75353 [x^4*(x^4+2*x^3+x^2-2*x-4)/(2*x-1)/(x^2+x-1)/(x^6-x^3-1) ogf] A209400 8.87813 [x^4*(x+2)/(2*x-1)/(x^5+x^4+x^2+x-1) ogf] A209404 12.9182 [-(-14*x+15)/(-2*x^2+3*x-1) lgdogf] A209404 4.16717 [{(n+3)*a(n+3)+(-21-3*n)*a(n+2)+(16+2*n)*a(n+1),a(0)=1,a(1)=15,a(2)=128} ogf] A209404 5.76706 [-(x-1)/(2*x-1)^8 ogf] A209409 5.86367 [x^5*(x^4+2*x^3-3*x-4)/(2*x-1)/(x^3+x^2+x-1)/(x^6-x^4-x^2-1) ogf] A209410 5.80083 [-(x^8+2*x^7+x^6-2*x^5-4*x^4-2*x^3-2*x^2-x-1)/(x^3+x^2+x-1)/(x^6-x^4-x^2-1) ogf] A209466 4.93601 [(x^20-6*x^18-2*x^14-4*x^12-8*x^8-6*x^7-2*x^4-4*x^3-2*x^2-1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A209469 3.92177 [-(x^2+x+1)*(x^8-x^7+x^6-x^5-x^4+x^3-2*x^2+2*x-1)/(x^11-x^10+2*x^9-x^8-3*x^7+3*x^6-4*x^5+x^4+2*x^2-3*x+1) ogf] A209486 4.61631 [-2*(2*x^8+13*x^7+34*x^6+59*x^5+62*x^4+57*x^3+32*x^2+15*x+2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A209487 4.33232 [-(2*x^8-10*x^7+19*x^6-23*x^5-73*x^4-190*x^3-161*x^2-81*x-11)/(x^2+x+1)/(x-1)^6 ogf] A209497 2.83321 [-(333957700*f(x)-472265573)*(72*f(x)*x^4+168*f(x)*x^3-75*x^4+10*f(x)*x^2-174*x^3-16*f(x)*x+19*x^2+f(x)+26*x-2) ogf] A209497 5.21907 [(75*x^4+174*x^3-19*x^2-26*x+2)/(36*x^2+12*x-1)/(2*x^2+4*x-1) ogf] A209505 13.1497 [-3*(4*x-9)/(2*x^2-5*x+1) ogf] A209505 6.50566 [-(169*f(x)+480)*(2*f(x)*x^2-5*f(x)*x+f(x)+12*x-27) ogf] A209505 7.27104 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=27,a(1)=123} ogf] A209505 9.08879 [-(-8*x^2+36*x-41)/(-8*x^3+38*x^2-49*x+9) lgdogf] A209506 4.69339 [-(1897807*f(x)+15424860)*(6*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+72*x^2-f(x)-168*x+81) ogf] A209506 5.24555 [{-a(n+3)+9*a(n+2)-15*a(n+1)+6*a(n),a(0)=81,a(1)=561,a(2)=3906} ogf] A209506 9.45789 [-3*(24*x^2-56*x+27)/(6*x^3-15*x^2+9*x-1) ogf] A209507 4.71340 [-3*(64*x^4-376*x^3+692*x^2-443*x+81)/(8*x^5-48*x^4+92*x^3-65*x^2+16*x-1) ogf] A209528 4.54578 [-(72*x^9-312*x^8+546*x^7-492*x^6+325*x^5-202*x^4+109*x^3-43*x^2+10*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A209530 10.1165 [-(32*x^2-16*x-9)/(x-1)/(8*x^2-1) ogf] A209530 5.44733 [(133*f(x)+678)*(8*f(x)*x^3-8*f(x)*x^2-f(x)*x+32*x^2+f(x)-16*x-9) ogf] A209530 5.59068 [{a(n+3)-a(n+2)-8*a(n+1)+8*a(n),a(0)=9,a(1)=25,a(2)=65} ogf] A209531 4.16584 [-(4053808*f(x)+26205051)*(32*f(x)*x^3-32*f(x)*x^2-f(x)*x+224*x^2+f(x)-160*x-33) ogf] A209531 4.68657 [{-a(n+3)+a(n+2)+32*a(n+1)-32*a(n),a(0)=33,a(1)=193,a(2)=1025} ogf] A209531 8.27041 [-(224*x^2-160*x-33)/(x-1)/(32*x^2-1) ogf] A209532 3.60051 [-(293876095*f(x)+3571340754)*(128*f(x)*x^3-128*f(x)*x^2-f(x)*x+1664*x^2+f(x)-1408*x-129) ogf] A209532 4.14779 [{-a(n+3)+a(n+2)+128*a(n+1)-128*a(n),a(0)=129,a(1)=1537,a(2)=16385} ogf] A209532 7.10238 [-(1664*x^2-1408*x-129)/(x-1)/(128*x^2-1) ogf] A209533 10.0357 [-(272*x-257)/(16*x-1)/(x-1) ogf] A209533 4.92136 [-(61425*f(x)+999184)*(16*f(x)*x^2-17*f(x)*x+f(x)+272*x-257) ogf] A209533 5.75080 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=257,a(1)=4097} ogf] A209533 6.09311 [-(-4352*x^2+8224*x-4097)/(-4352*x^3+8736*x^2-4641*x+257) lgdogf] A209539 7.51607 [(1296*x^5+810*x^4-9*x^3-32*x^2+6*x-1)/(10*x-1) ogf] A209546 5.5143 [(59*f(x)-65)*(2*f(x)*x^4-6*f(x)*x^2+6*x^3+5*f(x)*x+3*x^2-f(x)-15*x+7) ogf] A209546 9.61066 [-(6*x^3+3*x^2-15*x+7)/(x-1)/(2*x^3+2*x^2-4*x+1) ogf] A209547 5.13922 [-(10*x^5+43*x^4-85*x^3-2*x^2+55*x-20)/(x-1)/(2*x^5+10*x^4-10*x^3-7*x^2+7*x-1) ogf] A209594 4.11533 [-(x^7-8*x^6+25*x^5-352*x^4-2557*x^3-4888*x^2-2109*x-192)/(x-1)^8 ogf] A209603 9.65840 [-x*(2*x^4-x^3+x^2-x+1)/(x^3+x-1)/(x^3-x+1) ogf] A209613 5.53641 [-(-4*x^11-x^10-3*x^9-2*x^8-x^7-x^6-4*x^5-x^4-x^3-2*x^2-3*x-1)/(x^12-1) ogf_with_Euler_transform] A209646 11.9850 [9*(5*x+1)/(x-1)^4 ogf] A209646 15.1647 [-(-15*x-9)/(-5*x^2+4*x+1) lgdogf] A209646 4.82512 [{(n+3)*a(n+3)+(-1+4*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=9,a(1)=81,a(2)=270} ogf] A209646 5.6293 [(65856*f(x)+2313839)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-45*x-9) ogf] A209647 3.97919 [{(5*n^2+33*n+54)*a(n+1)+(-16*n^2-116*n-224)*a(n+2)+(11*n^2+59*n+78)*a(n+3),a(0)=14,a(1)=196,a(2)=798} ogf] A209647 8.17463 [14*(x^3+3*x^2-9*x-1)/(x-1)^5 ogf] A209647 8.95317 [-(-2*x^3-12*x^2+30*x+14)/(-x^4-2*x^3+12*x^2-8*x-1) lgdogf] A209648 3.58838 [{(-7*n^2-32*n-33)*a(n+1)+(362*n^2+3300*n+7374)*a(n+2)+(-355*n^2-1876*n-2433)*a(n+3),a(0)=22,a(1)=484,a(2)=2354} ogf] A209648 7.63978 [22*(x^3-7*x^2-17*x-1)/(x-1)^5 ogf] A209648 8.35882 [-(-2*x^3+18*x^2+82*x+22)/(-x^4+8*x^3+10*x^2-16*x-1) lgdogf] A209649 6.39088 [-35*(x+1)*(17*x^2-28*x-1)/(x-1)^6 ogf] A209649 7.55286 [-(-51*x^3-7*x^2+167*x+35)/(-17*x^4+28*x^3+18*x^2-28*x-1) lgdogf] A209676 11.8315 [-(-12*x^3+12*x^2-24*x+12)/(x^4-1) ogf_with_Euler_transform] A209676 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi^3/GAMMA(3/4)^12 A209709 4.92349 [-(64*x^5-92*x^4-276*x^3+75*x^2+127*x+24)/(16*x^6-24*x^5-76*x^4+30*x^3+34*x^2+2*x-1) ogf] A209721 12.8061 [-(5*x^2-x-3)/(x-1)/(2*x^2-1) ogf] A209721 6.73425 [-(2*f(x)+51)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+5*x^2+f(x)-x-3) ogf] A209721 6.97476 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=3,a(1)=4,a(2)=5} ogf] A209721 7.73439 [-(-10*x^4+4*x^3+11*x^2-2*x-4)/(-10*x^5+12*x^4+9*x^3-12*x^2-2*x+3) lgdogf] A209722 12.8674 [-(7*x^2-x-4)/(x-1)/(2*x^2-1) ogf] A209722 7.00813 [(f(x)-28)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+7*x^2+f(x)-x-4) ogf] A209722 7.00813 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=4,a(1)=5,a(2)=6} ogf] A209722 7.69521 [-(-14*x^4+4*x^3+15*x^2-2*x-5)/(-14*x^5+16*x^4+13*x^3-16*x^2-3*x+4) lgdogf] A209723 12.2188 [-(11*x^2-x-6)/(x-1)/(2*x^2-1) ogf] A209723 6.70415 [(7*f(x)-93)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+11*x^2+f(x)-x-6) ogf] A209723 6.76400 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=6,a(1)=7,a(2)=8} ogf] A209724 12.2787 [-(15*x^2-x-8)/(x-1)/(2*x^2-1) ogf] A209724 6.61985 [(17*f(x)-224)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+15*x^2+f(x)-x-8) ogf] A209724 6.73701 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=8,a(1)=9,a(2)=10} ogf] A209724 7.46355 [-(-30*x^4+4*x^3+31*x^2-2*x-9)/(-30*x^5+32*x^4+29*x^3-32*x^2-7*x+8) lgdogf] A209725 12.2017 [-(23*x^2-x-12)/(x-1)/(2*x^2-1) ogf] A209725 6.62681 [(49*f(x)-780)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+23*x^2+f(x)-x-12) ogf] A209725 6.68443 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=12,a(1)=13,a(2)=14} ogf] A209726 12.2017 [-(31*x^2-x-16)/(x-1)/(2*x^2-1) ogf] A209726 6.57017 [(97*f(x)-1888)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x+31*x^2+f(x)-x-16) ogf] A209726 6.68443 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=16,a(1)=17,a(2)=18} ogf] A209729 4.60223 [(485*f(x)-548)*(4*f(x)*x^3+14*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+58*x+22) ogf] A209729 4.64124 [{-a(n+3)+3*a(n+2)+14*a(n+1)+4*a(n),a(0)=22,a(1)=124,a(2)=696} ogf] A209729 8.42563 [-2*(8*x^2+29*x+11)/(4*x^3+14*x^2+3*x-1) ogf] A209738 4.37860 [(536*x^5+1388*x^4+168*x^3-381*x^2+58*x-2)/(20*x-1)/(12*x^2+8*x-1)/(2*x^2+4*x-1) ogf] A209780 5.22780 [-2*(120*x^5+7*x^4-373*x^3-183*x^2+64*x+32)/(30*x^6-95*x^4-39*x^3+22*x^2+7*x-1) ogf] A209789 12.3298 [-6*(9*x+5)/(12*x^2+5*x-1) ogf] A209789 6.43296 [(145*f(x)-882)*(12*f(x)*x^2+5*f(x)*x-f(x)+54*x+30) ogf] A209789 6.88177 [{a(n+2)-5*a(n+1)-12*a(n),a(0)=30,a(1)=204} ogf] A209789 7.99773 [-(-108*x^2-120*x-34)/(-108*x^3-105*x^2-16*x+5) lgdogf] A209790 2.79882 [-(14908974047930*f(x)+92547947463081)*(22*f(x)*x^4-64*f(x)*x^3+27*f(x)*x^2+297*x^3+14*f(x)*x-846*x^2-f(x)+315*x+204) ogf] A209790 5.62909 [-3*(99*x^3-282*x^2+105*x+68)/(22*x^4-64*x^3+27*x^2+14*x-1) ogf] A209801 17.3165 [exp(x)*x+2*exp(x) lgdegf] A209801 44.0813 [exp(x)*x+2*exp(x) lgdegf] A209807 3.6136 [(2485072768*f(x)-2221487203)*(12*f(x)*x^4+28*f(x)*x^3+7*f(x)*x^2+20*x^3-8*f(x)*x+50*x^2+f(x)+22*x-7) ogf] A209807 7.05093 [-(20*x^3+50*x^2+22*x-7)/(6*x-1)/(x+1)/(2*x^2+3*x-1) ogf] A209808 3.56497 [-(504*x^6-1182*x^5-935*x^4+1688*x^3-101*x^2-276*x+34)/(2*x^3-3*x^2-6*x+1)/(54*x^4-51*x^3-5*x^2+11*x-1) ogf] A209822 4.79825 [(14551*f(x)-8048)*(2*f(x)*x^3+3*f(x)*x^2-6*f(x)*x+4*x^2+f(x)+7*x-8) ogf] A209822 4.92342 [{-a(n+3)+6*a(n+2)-3*a(n+1)-2*a(n),a(0)=8,a(1)=41,a(2)=218} ogf] A209822 9.28185 [-(4*x^2+7*x-8)/(x-1)/(2*x^2+5*x-1) ogf] A209823 5.32980 [-(10*x^4-64*x^3+26*x^2+67*x-41)/(x-1)/(2*x^4-11*x^3-5*x^2+11*x-1) ogf] A209841 3.93557 [(151875*f(x)-159508)*(16*f(x)*x^4+4*f(x)*x^3-30*f(x)*x^2+32*x^3+11*f(x)*x+16*x^2-f(x)-47*x+8) ogf] A209841 7.25472 [-(32*x^3+16*x^2-47*x+8)/(4*x-1)/(x-1)/(4*x^2+6*x-1) ogf] A209842 3.80181 [-(640*x^5-1936*x^4+1324*x^3+368*x^2-451*x+41)/(x-1)/(8*x-1)/(16*x^4-32*x^3-2*x^2+13*x-1) ogf] A209851 4.88346 [-(32*x^5-295*x^4+355*x^3+145*x^2-82*x-25)/(8*x^6-82*x^5+110*x^4+28*x^3-29*x^2-4*x+1) ogf] A209876 11.4693 [(2*f(x)+61)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-30) ogf] A209876 11.8789 [{-a(n+2)+2*a(n+1)-a(n),a(0)=30,a(1)=66} ogf] A209876 20.3638 [-(x+11)/(x^2+4*x-5) lgdogf] A209876 21.6918 [6*(x+5)/(x-1)^2 ogf] A209878 6.59192 [-9*(122221*x^6+85925*x^5+481711*x^4+122454*x^3+37532*x^2+12363*x+2241)/(x-1)/(x^2+x+1) ogf] A209888 12.4711 [(x+1)*(x^2-x+1)/(x^5-2*x^4+x^3-2*x+1) ogf] A209888 6.92837 [f(x)^2*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3-x^3-2*f(x)*x+f(x)-1) ogf] A209890 13.2606 [-(6*x+7)/(4*x^2+4*x-1) ogf] A209890 6.85892 [(48*f(x)-47)*(4*f(x)*x^2+4*f(x)*x-f(x)+6*x+7) ogf] A209890 7.18947 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=7,a(1)=34} ogf] A209890 8.52466 [-(24*x^2+56*x+34)/(24*x^3+52*x^2+22*x-7) lgdogf] A209891 4.67629 [-(121*f(x)+5498)*(16*f(x)*x^3-4*f(x)*x^2-8*f(x)*x+72*x^2+f(x)-8*x-34) ogf] A209891 4.83348 [{a(n+3)-8*a(n+2)-4*a(n+1)+16*a(n),a(0)=34,a(1)=280,a(2)=2304} ogf] A209891 8.98725 [-2*(36*x^2-4*x-17)/(16*x^3-4*x^2-8*x+1) ogf] A209906 4.41238 [-2*(32*x^5+46*x^4-114*x^3-114*x^2+64*x+31)/(8*x^6+12*x^5-30*x^4-30*x^3+21*x^2+7*x-1) ogf] A209923 6.39997 [-x+5/4+1/2*(x-1)^2*ln(x-1)+(x-1)^2*(-5/4-1/2*I*Pi) revegf] A209931 29.7848 [-x^9+x^8+2 ogf_with_Euler_transform] A209931 7.34486 [(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A209937 8.00139 [(2*ln(x-1)-1/(x-1)-2*I*Pi-1)*(x-1) revegf] A209939 4.84382 [-(-6*x^11+3*x^10-6*x^9+6*x^8-3*x^7+3*x^6-12*x^5+3*x^4-3*x^3+6*x^2-6*x+3)/(x^12-1) ogf_with_Euler_transform] A209939 99.9999 Evaluated at exp(-Pi) 1/24*exp(1/2*Pi)*Pi*3^(1/4)*GAMMA(2/3)*GAMMA(7/12)/GAMMA(3/4)^7*(1+3^(1/2)) A209940 7.99525 [-(4*x^7+2*x^6-3*x^5+2*x^4+6*x^3+2*x^2-3*x+2)/(-x^8+1) ogf_with_Euler_transform] A209940 99.9999 Evaluated at exp(-Pi) 1/64*exp(1/2*Pi)*GAMMA(5/8)^4*2^(1/4)*(3+2*2^(1/2))*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A209941 11.6477 [-(-6*x^3+6*x^2-12*x+6)/(x^4-1) ogf_with_Euler_transform] A209941 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A209942 11.8029 [-(-10*x^3+14*x^2-24*x+14)/(x^4-1) ogf_with_Euler_transform] A209942 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(5/2)*2^(1/2)/GAMMA(3/4)^10 A209944 12.9433 [-2*(27*x+17)/(12*x^2+6*x-1) ogf] A209944 6.68039 [(197*f(x)-1151)*(12*f(x)*x^2+6*f(x)*x-f(x)+54*x+34) ogf] A209944 7.22415 [{a(n+2)-6*a(n+1)-12*a(n),a(0)=34,a(1)=258} ogf] A209944 8.17470 [-(-324*x^2-408*x-129)/(-324*x^3-366*x^2-75*x+17) lgdogf] A209953 4.61083 [(155673*f(x)-663998)*(6*f(x)*x^3+15*f(x)*x^2+6*f(x)*x+54*x^2-f(x)+141*x+71) ogf] A209953 4.88205 [{-a(n+3)+6*a(n+2)+15*a(n+1)+6*a(n),a(0)=71,a(1)=567,a(2)=4521} ogf] A209953 8.80248 [-(54*x^2+141*x+71)/(6*x^3+15*x^2+6*x-1) ogf] A209962 6.21695 [9*x^2*(2*x+1)/(4*x-1)/(x-1)/(2*x^2+5*x-1)/(4*x^2+6*x-1) ogf] A209971 13.8022 [2*x*(2*x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A209971 4.03448 [{(n+2)*a(n+1)+(n+3)*a(n+2)+(-3*n-4)*a(n+3)+(n+1)*a(n+4),a(0)=0,a(1)=2,a(2)=4,a(3)=8} ogf] A209971 9.25555 [f(x)*x^4-4*f(x)*x^2+4*f(x)*x-4*x^2-f(x)+2*x ogf] A209971 9.83404 [-(-6*x^3-2*x^2+6*x-2)/(-2*x^4-x^3+7*x^2-5*x+1) lgdogf] A210003 14.2214 [-(x^4+1)/(x^5-x^4+2*x-1) ogf] A210003 8.18807 [f(x)^2*(f(x)*x^5-f(x)*x^4+x^4+2*f(x)*x-f(x)+1) ogf] A210003 9.65024 [-(x^8-x^4+2)/(x^9-x^8+3*x^5-2*x^4+2*x-1) lgdogf] A210005 3.30328 [-(637386615385*f(x)+82841940309)*(12*f(x)*x^4+34*f(x)*x^3+16*f(x)*x^2-6*x^3-11*f(x)*x-21*x^2+f(x)-22*x-6) ogf] A210005 6.68616 [(2*x+3)*(3*x^2+6*x+2)/(2*x^2+3*x-1)/(6*x^2+8*x-1) ogf] A210006 4.39787 [-(24*x^5-84*x^4-14*x^3+215*x^2-51*x-88)/(2*x^3-3*x^2-6*x+1)/(24*x^3-32*x^2-24*x+1) ogf] A210021 11.1044 [-(x^4+x^3+1)/(x^5+x^4-x^3+2*x-1) ogf] A210021 6.48495 [f(x)^2*(f(x)*x^5+f(x)*x^4-f(x)*x^3+x^4+x^3+2*f(x)*x-f(x)+1) ogf] A210030 8.92321 [-(2*x^6+3*x^5+2*x^4-2*x^3+2*x^2+3*x+2)/(-x^8+1) ogf_with_Euler_transform] A210030 99.9999 Evaluated at exp(-Pi) 2^(1/4)*(2-2^(1/2))^(1/2) A210031 13.6105 [-(x+1)*(x^4-x^3+x^2-x+1)/(x^6-x^5+2*x-1) ogf] A210031 8.91723 [-(-x^10+2*x^5-2)/(-x^11+x^10-3*x^6+2*x^5-2*x+1) lgdogf] A210032 11.6245 [-(-3*x^4+2*x^3+2*x^2+2*x+2)/(x^5-1) lgdogf] A210032 12.9585 [-(x^4+x^3+x^2+x+1)/(x-1) ogf] A210032 31.5368 [[-x^4+2] ogf_with_Euler_transform] A210032 5.72801 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=5} ogf] A210032 8.23402 [-(f(x)+10)*(x^4+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A210045 4.00376 [(1134700*f(x)+421731)*(8*f(x)*x^4+20*f(x)*x^3+6*f(x)*x^2-4*x^3-7*f(x)*x-12*x^2+f(x)-9*x) ogf] A210045 7.79397 [x*(2*x+3)^2/(2*x^2+3*x-1)/(4*x^2+4*x-1) ogf] A210046 4.74502 [-(16*x^5-24*x^4-56*x^3+26*x^2+7*x-9)/(16*x^3-4*x^2-8*x+1)/(2*x^3-3*x^2-6*x+1) ogf] A210054 3.8908 [-(471589785*f(x)+680267672)*(16*f(x)*x^4-52*f(x)*x^3+48*f(x)*x^2+32*x^3-13*f(x)*x-92*x^2+f(x)+66*x-9) ogf] A210054 7.59631 [-(32*x^3-92*x^2+66*x-9)/(4*x-1)/(x-1)/(4*x^2-8*x+1) ogf] A210055 4.00253 [-(640*x^5+848*x^4-4312*x^3+3599*x^2-833*x+51)/(x-1)/(8*x-1)/(16*x^4+40*x^3-78*x^2+20*x-1) ogf] A210062 5.44095 [(x^14-x^13+x^12+x^11+x^10+x^9+x^8+x^6+x^5+x^4+x^3+x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A210063 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/2*Pi)*(2-2^(1/2))^(1/2) A210064 4.06881 [{(16*n^2+88*n+120)*a(n+1)+(-8*n^2-42*n-44)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A210064 8.72588 [(-1/2*(28*x-3)/(-1+4*x)^(1/2)+3/2*I)/(-1+4*x)^(1/2)/x lgdogf] A210065 99.9999 Evaluated at exp(-Pi) 1/2*(2+2^(1/2))^(1/2) A210066 99.9999 Evaluated at exp(-Pi) 1/2+1/4*2^(1/2) A210067 8.36370 [-(4*x^6+6*x^5+4*x^4-4*x^3+4*x^2+6*x+4)/(-x^8+1) ogf_with_Euler_transform] A210067 99.9999 Evaluated at exp(-Pi) (2-2^(1/2))*2^(1/2) A210068 22.3767 [x^3+2*x^2+3*x+2 ogf_with_Euler_transform] A210068 4.99130 [1/(x^2+1)/(x^2+x+1)^2/(x+1)^4/(x-1)^8 ogf] A210070 4.44884 [-(64*x^5+50*x^4-210*x^3-206*x^2+16*x+33)/(16*x^6+12*x^5-54*x^4-50*x^3+9*x^2+9*x-1) ogf] A210079 5.37732 [(2*x^4+5*x^3-34*x^2+34*x+1)/(x-1)/(2*x^2+11*x-1)/(2*x^2-5*x+1) ogf] A210088 4.19856 [-(88825*f(x)+13176)*(8*f(x)*x^4+10*f(x)*x^3-27*f(x)*x^2+10*f(x)*x-f(x)+9*x) ogf] A210088 6.37023 [-(32*x^3+30*x^2-54*x+10)/(8*x^4+10*x^3-27*x^2+10*x-1) lgdogf] A210088 9.89661 [-9*x/(2*x^2+5*x-1)/(4*x-1)/(x-1) ogf] A210089 4.35347 [-(16*x^5-106*x^4+80*x^3-2*x^2-11*x+9)/(x-1)/(8*x-1)/(2*x^4-11*x^3-5*x^2+11*x-1) ogf] A210100 10.3201 [-(4*x^2-12*x+7)/(x-1)/(2*x^2-5*x+1) ogf] A210100 5.24464 [-(5389*f(x)+6152)*(2*f(x)*x^3-7*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-12*x+7) ogf] A210100 5.56387 [{-a(n+3)+6*a(n+2)-7*a(n+1)+2*a(n),a(0)=7,a(1)=30,a(2)=135} ogf] A210101 4.9628 [(371907*f(x)-954100)*(4*f(x)*x^3+3*f(x)*x^2-8*f(x)*x+20*x^2+f(x)+15*x-30) ogf] A210101 5.21515 [{-a(n+3)+8*a(n+2)-3*a(n+1)-4*a(n),a(0)=30,a(1)=225,a(2)=1690} ogf] A210101 9.61544 [-5*(4*x^2+3*x-6)/(x-1)/(4*x^2+7*x-1) ogf] A210118 4.69785 [(675146771*f(x)-539003449)*(14*f(x)*x^3+19*f(x)*x^2-10*f(x)*x+23*x^2+f(x)+36*x-8) ogf] A210118 5.25522 [{-a(n+3)+10*a(n+2)-19*a(n+1)-14*a(n),a(0)=8,a(1)=44,a(2)=265} ogf] A210118 9.39570 [-(23*x^2+36*x-8)/(7*x-1)/(2*x^2+3*x-1) ogf] A210119 3.27345 [-(1120*x^6-1510*x^5-4189*x^4+999*x^3+1699*x^2-575*x+44)/(120*x^4+10*x^3-69*x^2+18*x-1)/(2*x^3-3*x^2-6*x+1) ogf] A210127 4.34271 [(237592*f(x)-55277)*(2*f(x)*x^3+9*f(x)*x^2-12*f(x)*x+3*x^2+f(x)+15*x-8) ogf] A210127 4.56733 [{-a(n+3)+12*a(n+2)-9*a(n+1)-2*a(n),a(0)=8,a(1)=81,a(2)=897} ogf] A210127 8.40968 [-(3*x^2+15*x-8)/(2*x^2+11*x-1)/(x-1) ogf] A210128 5.12596 [-(1022*x^4-1475*x^3+373*x^2+226*x-81)/(x-1)/(292*x^4-200*x^3-47*x^2+34*x-1) ogf] A210136 5.64374 [-(8*x^4-28*x^3+36*x^2-8*x+1)/(4*x-1)/(x-1)/(4*x^2-8*x+1)/(2*x^2+5*x-1) ogf] A210149 5.17194 [-(32*x^4+42*x^3-141*x^2-193*x-57)/(8*x^5+10*x^4-36*x^3-46*x^2-11*x+1) ogf] A210158 2.88349 [-(8986343974042*f(x)-15456231553983)*(36*f(x)*x^4+80*f(x)*x^3+19*f(x)*x^2+60*x^3-16*f(x)*x+144*x^2+f(x)+60*x-13) ogf] A210158 5.86757 [-(60*x^3+144*x^2+60*x-13)/(18*x^2+13*x-1)/(2*x^2+3*x-1) ogf] A210167 6.08045 [-(8*x^4+24*x^3+16*x^2-4*x+1)/(7*x-1)/(2*x^2+3*x-1)/(4*x^2+4*x-1) ogf] A210176 3.1938 [-(7950372961*f(x)+896455478)*(24*f(x)*x^4+68*f(x)*x^3+26*f(x)*x^2-20*x^3-14*f(x)*x-56*x^2+f(x)-37*x-1) ogf] A210176 6.27354 [(x+1)*(20*x^2+36*x+1)/(12*x^2+10*x-1)/(2*x^2+4*x-1) ogf] A210209 4.83208 [-x*(x^12-x^11+2*x^10-x^9-2*x^8-x^7-6*x^6+x^5-2*x^4+x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-1)/(x^4-x^2-1) ogf] A210245 7.33973 [(2*x^35-x^6-x^5+x^4+x^3-x^2-x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A210260 3.70511 [(4463176*f(x)+8451)*(24*f(x)*x^4+64*f(x)*x^3+18*f(x)*x^2-20*x^3-12*f(x)*x-52*x^2+f(x)-29*x) ogf] A210260 6.90076 [x*(20*x^2+52*x+29)/(12*x^2+8*x-1)/(2*x^2+4*x-1) ogf] A210269 11.2520 [-(54*x^2+7*x-35)/(12*x^3-8*x+1) ogf] A210269 6.23871 [(483*f(x)-2365)*(12*f(x)*x^3-8*f(x)*x+54*x^2+f(x)+7*x-35) ogf] A210269 6.23871 [{-a(n+3)+8*a(n+2)-12*a(n),a(0)=35,a(1)=273,a(2)=2130} ogf] A210277 5.08195 [{(-9*n^3-45*n^2-74*n-40)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A210293 2.9588 [(8223605*f(x)-81255051)*(18*f(x)*x^4-20*f(x)*x^3-42*f(x)*x^2+144*x^3-11*f(x)*x-150*x^2+f(x)-346*x-112) ogf] A210293 5.38567 [-2*(72*x^3-75*x^2-173*x-56)/(18*x^4-20*x^3-42*x^2-11*x+1) ogf] A210302 5.81117 [x*(4*x^3-4*x^2-21*x+29)/(x-1)/(2*x^2-5*x+1)/(4*x^2+9*x-1) ogf] A210313 4.01237 [-x*(36*x^4+156*x^3+241*x^2+155*x+35)/(18*x^2+13*x-1)/(6*x^2+8*x-1)/(2*x^2+3*x-1) ogf] A210328 4.20555 [-(496*x^5+1065*x^4+173*x^3-399*x^2-62*x+39)/(2*x+1)/(62*x^5+98*x^4-38*x^3-35*x^2+14*x-1) ogf] A210348 5.01661 [-(18*x-5)*(30*x^3+33*x^2-3*x-8)/(136*x^5+104*x^4-66*x^3-30*x^2+14*x-1) ogf] A210369 3.65341 [-(x^7+9*x^6+27*x^5+83*x^4+59*x^3+51*x^2+9*x+1)/(x+1)^4/(x-1)^5 ogf] A210370 3.72552 [-2*x*(3*x^5+17*x^4+16*x^3+28*x^2+5*x+3)/(x+1)^4/(x-1)^5 ogf] A210373 3.94909 [-x*(3*x^5+17*x^4+16*x^3+28*x^2+5*x+3)/(x+1)^4/(x-1)^5 ogf] A210374 4.81962 [{(-4*n^2-16*n)*a(n)+(7*n^2+12*n-19)*a(n+1)+(-3*n^2+n+4)*a(n+2),a(0)=0,a(1)=4} ogf] A210374 5.01769 [(83*f(x)-2979)*(f(x)*x^4-4*f(x)*x^3-6*x^4+6*f(x)*x^2+12*x^3-4*f(x)*x-3*x^2+f(x)-4*x) ogf] A210374 8.72123 [-(-6*x^3+6*x^2+15*x-19)/(-6*x^4+18*x^3-15*x^2-x+4) lgdogf] A210374 8.93394 [x*(6*x^3-12*x^2+3*x+4)/(x-1)^4 ogf] A210375 8.65515 [-(20*x^3-40*x^2+8*x+16)/(6*x^5-10*x^4-10*x^3+26*x^2-11*x-1) lgdogf] A210375 9.03559 [x*(6*x^4-4*x^3-14*x^2+12*x+1)/(x-1)^4 ogf] A210376 7.74788 [-(24*x^3-30*x^2-30*x+40)/(6*x^5-6*x^4-15*x^3+15*x^2+10*x-10) lgdogf] A210376 9.41514 [x^2*(6*x^4-15*x^2+10)/(x-1)^4 ogf] A210377 7.86878 [x^2*(6*x^5-4*x^3-20*x^2+15*x+4)/(x-1)^4 ogf] A210378 5.45484 [-(x^6+6*x^5+27*x^4+28*x^3+27*x^2+6*x+1)/(x+1)^3/(x-1)^5 ogf] A210379 5.98873 [-4*x*(2*x^4+5*x^3+10*x^2+5*x+2)/(x+1)^3/(x-1)^5 ogf] A210383 4.94792 [(61*f(x)-2815)*(6*f(x)*x^3+6*f(x)*x^2-9*f(x)*x+54*x^2+f(x)+60*x-73) ogf] A210383 4.94792 [{-a(n+3)+9*a(n+2)-6*a(n+1)-6*a(n),a(0)=73,a(1)=597,a(2)=4881} ogf] A210383 9.12273 [-(54*x^2+60*x-73)/(6*x^3+6*x^2-9*x+1) ogf] A210384 4.26723 [-(864*x^5-1750*x^4-3946*x^3+2349*x^2+2123*x-597)/(32*x^6-66*x^5-144*x^4+93*x^3+76*x^2-26*x+1) ogf] A210397 4.40438 [(10375717*f(x)-5230582)*(4*f(x)*x^3+5*f(x)*x^2-10*f(x)*x+6*x^2+f(x)+11*x-7) ogf] A210397 4.78406 [{-a(n+3)+10*a(n+2)-5*a(n+1)-4*a(n),a(0)=7,a(1)=59,a(2)=549} ogf] A210397 8.80875 [-(3*x+7)*(2*x-1)/(x-1)/(4*x^2+9*x-1) ogf] A210398 4.73299 [-(1344*x^4-1400*x^3-56*x^2+336*x-59)/(2*x+1)/(x-1)/(192*x^3-154*x^2+29*x-1) ogf] A210406 11.2123 [-(8*x+7)/(12*x^2+10*x-1) ogf] A210406 5.9211 [(79*f(x)-46)*(12*f(x)*x^2+10*f(x)*x-f(x)+8*x+7) ogf] A210406 6.19973 [{a(n+2)-10*a(n+1)-12*a(n),a(0)=7,a(1)=78} ogf] A210406 7.31912 [-(-96*x^2-168*x-78)/(-96*x^3-164*x^2-62*x+7) lgdogf] A210407 3.27158 [-(86564235161*f(x)+85034103220)*(96*f(x)*x^4-280*f(x)*x^3+40*f(x)*x^2+256*x^3+31*f(x)*x-744*x^2-f(x)+102*x+78) ogf] A210407 6.35935 [-2*(128*x^3-372*x^2+51*x+39)/(96*x^4-280*x^3+40*x^2+31*x-1) ogf] A210427 7.33903 [x*(x^4+6*x^3+12*x^2+6*x+1)/(x-1)^6 ogf] A210427 7.99954 [-(-2*x^4-22*x^3-66*x^2-54*x-12)/(-x^5-5*x^4-6*x^3+6*x^2+5*x+1) lgdogf] A210428 6.16738 [-x*(x+1)*(x^4+8*x^3+20*x^2+8*x+1)/(x-1)^7 ogf] A210429 5.29847 [x*(x^4+10*x^3+36*x^2+10*x+1)*(x+1)^2/(x-1)^8 ogf] A210430 4.42344 [-x*(x+1)*(x^6+15*x^5+90*x^4+170*x^3+90*x^2+15*x+1)/(x-1)^9 ogf] A210431 3.90120 [x*(x^8+20*x^7+179*x^6+630*x^5+960*x^4+630*x^3+179*x^2+20*x+1)/(x-1)^10 ogf] A210432 3.44889 [-x*(x+1)*(x^8+24*x^7+265*x^6+1132*x^5+1904*x^4+1132*x^3+265*x^2+24*x+1)/(x-1)^11 ogf] A210433 7.73697 [x*(x^3+x^2+3*x+1)/(x+1)^3/(x-1)^4 ogf] A210433 9.02647 [-(-4*x^4-6*x^3-22*x^2-12*x-4)/(-x^5-x^4-2*x^3+3*x+1) lgdogf] A210434 12.7023 [(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A210434 22.2379 [[-x^5+x^4+x+1] ogf_with_Euler_transform] A210435 6.99645 [(x^11-x^10+x^9+x^8+x^6+x^5+x^3+x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A210436 8.39596 [(x^8+x^7+x^6+x^4+x^3+x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A210440 15.4706 [4*x/(x-1)^4 ogf] A210440 29.2836 [4/(-x+1) lgdogf] A210440 6.72083 [-(7*f(x)+18)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-4*x) ogf] A210440 62.6778 [[4] ogf_with_Euler_transform] A210440 7.96060 [{(n+1)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=4} ogf] A210448 10.4760 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=0,a(1)=3} ogf] A210448 14.3823 [-6*f(x)*x^2+5*f(x)*x-f(x)+3*x ogf] A210448 17.3176 [-(12*x-5)/(6*x^2-5*x+1) lgdogf] A210448 22.9341 [3*x/(3*x-1)/(2*x-1) ogf] A210458 99.9999 Evaluated at exp(-Pi) 1/131072000*exp(Pi)*2^(4/5)*5^(1/2)*GAMMA(4/5)^12/GAMMA(9/10)^6/GAMMA(7/10)^6*(5-5^(1/2))^6*(5^(1/2)-1)^6*(5^(1/2)+1)^6 A210459 99.9999 Evaluated at exp(-Pi) 1/100*exp(-Pi)*(5+5^(1/2))^4 A210460 11.4860 [-(x+1)/(x^4+2*x^3+2*x^2+x-1) ogf] A210460 5.56069 [-(11*f(x)+3)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A210460 7.61573 [-(3*x^4+8*x^3+8*x^2+4*x+2)/(x^5+3*x^4+4*x^3+3*x^2-1) lgdogf] A210464 7.55191 [-(2*x^5-4*x^4-2*x^3+8*x^2-3*x-4)/(x+1)^2/(x-1)^4 ogf] A210474 9.06995 [4*f(x)^2*x+3*f(x)*x^2-2*f(x)*x+x^2-f(x)-2*x+1 ogf] A210527 10.9827 [-(-53*x^2+130*x-131)/(-53*x^3+171*x^2-201*x+83) lgdogf] A210527 12.6724 [-(53*x^2-118*x+83)/(x-1)^3 ogf] A210527 6.80746 [(464*f(x)+22945)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+53*x^2-f(x)-118*x+83) ogf] A210527 7.04020 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=83,a(1)=131,a(2)=197} ogf] A210569 11.2960 [4*x^4/(x-1)^6 ogf] A210569 29.0468 [6/(-x+1) lgdogf] A210569 5.98022 [{(-2+n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=4} ogf] A210569 62.1188 [[6] ogf_with_Euler_transform] A210573 10.5431 [-(-2*x^4+2*x^3-x^2+2*x+1)/(-x^3+x^2+x-1) lgdegf] A210573 20.7726 [-(-2*x^4+2*x^3-x^2+2*x+1)/(-x^3+x^2+x-1) lgdegf] A210621 9.00075 [-(4*x^9+2*x^8+8*x^7+3*x^6+9*x^5+4*x^4+6*x^2+x+3)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A210622 15.1413 [-(5*x^4-3*x^3+3*x^2-2*x+3)/(x-1) ogf] A210622 8.55203 [{a(n+5)-a(n+4),a(0)=3,a(1)=1,a(2)=4,a(3)=1,a(4)=6} ogf] A210622 8.96718 [-(31175*f(x)-40563)*(5*x^4-3*x^3+f(x)*x+3*x^2-f(x)-2*x+3) ogf] A210622 9.32948 [-(15*x^4-26*x^3+12*x^2-6*x-1)/(-5*x^5+8*x^4-6*x^3+5*x^2-5*x+3) lgdogf] A210626 10.5723 [-(3737*x^2-7178*x+3449)/(x-1)^3 ogf] A210626 5.73689 [(1529*f(x)-9097212)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3737*x^2-f(x)-7178*x+3449) ogf] A210626 6.11619 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3449,a(1)=3169,a(2)=2897} ogf] A210626 8.50643 [-(-3737*x^2+6882*x-3169)/(-3737*x^3+10915*x^2-10627*x+3449) lgdogf] A210628 10.4049 [1/2*x+1/4-1/4*(-4*x^2-4*x+1)^(1/2) revogf] A210628 9.90941 [f(x)^2*x-2*f(x)*x+f(x)+2*x-1 ogf] A210631 8.93549 [-x^12/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A210631 9.34917 [-(-12*x^5-13*x^4-18*x^3-10*x^2-6*x-1)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A210633 6.27108 [x^18/(x^2+1)/(x^2+x+1)^2/(x+1)^4/(x-1)^8 ogf] A210633 9.09018 [-(-18*x^5-20*x^4-28*x^3-18*x^2-10*x-2)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A210634 10.3940 [-x^12/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A210634 13.3043 [-(-12*x^3-15*x^2-12*x-3)/(-x^4-x^3+x+1) lgdogf] A210645 14.6165 [-84*(x+1)/(x-1)^3 ogf] A210645 18.2706 [-(2*x+4)/(x^2-1) lgdogf] A210645 38.0006 [[4-x] ogf_with_Euler_transform] A210645 6.87100 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=84,a(1)=336,a(2)=756} ogf] A210645 7.37529 [(59*f(x)-6741)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+84*x+84) ogf] A210673 10.0450 [-(-4*x^3+2*x^2-x+1)/(-2*x^4+x^3+4*x^2-4*x+1) lgdogf] A210673 11.0082 [-x*(2*x-1)^2/(x^2+x-1)/(x-1)^2 ogf] A210673 4.12102 [{-a(n+1)*n-a(n+2)+(2*n-1)*a(n+3)+(-n+1)*a(n+4),a(0)=0,a(1)=1,a(2)=-1,a(3)=-1,a(4)=-2,a(5)=-2} ogf] A210673 5.99701 [(18*f(x)+5)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+4*x^3+3*f(x)*x-4*x^2-f(x)+x) ogf] A210675 11.0306 [x*(4*x^2-4*x-1)/(x^2+x-1)/(x-1)^2 ogf] A210675 4.44881 [{(n+8)*a(n+1)+a(n+2)+(-2*n-15)*a(n+3)+(n+7)*a(n+4),a(0)=0,a(1)=1,a(2)=7,a(3)=15} ogf] A210675 5.51531 [-(12498*f(x)-181171)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-4*x^3+3*f(x)*x+4*x^2-f(x)+x) ogf] A210675 8.30139 [-(-8*x^4+8*x^3+4*x^2+5*x-7)/(-4*x^5+4*x^4+9*x^3-12*x^2+2*x+1) lgdogf] A210677 11.3713 [(2*x^3-4*x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A210677 4.83752 [{(-n-5)*a(n+1)-a(n+2)+(2*n+9)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=5,a(3)=10} ogf] A210677 6.20987 [(169*f(x)-536)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A210677 7.74859 [-(2*x^5-6*x^4+8*x^3-12*x^2+5*x+1)/(2*x^6-4*x^5-2*x^4+9*x^3-8*x^2+4*x-1) lgdogf] A210678 11.4665 [(3*x^3-5*x^2+2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A210678 4.85120 [{(-n-6)*a(n+1)-a(n+2)+(2*n+11)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=1,a(2)=6,a(3)=12} ogf] A210678 6.26183 [(158*f(x)-945)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-3*x^3+3*f(x)*x+5*x^2-f(x)-2*x+1) ogf] A210678 7.67755 [-(-3*x^5+7*x^4-10*x^3+16*x^2-7*x-1)/(-3*x^6+5*x^5+4*x^4-12*x^3+9*x^2-4*x+1) lgdogf] A210685 5.74261 [{(4*n+14)*a(n+1)+(7*n+6)*a(n+2)+(-2*n-8)*a(n+3),a(0)=-1,a(1)=2,a(2)=-2} ogf] A210685 6.5198 [f(x)^2*x^4+6*f(x)^2*x^3+12*f(x)^2*x^2+8*f(x)^2*x-2*f(x)*x^2+10*f(x)*x+f(x)+1 ogf] A210687 4.32538 [(2*x^11+6*x^10+68*x^9+167*x^8+302*x^7+417*x^6+479*x^5+439*x^4+334*x^3+199*x^2+88*x+16)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A210695 12.2119 [-x*(5*x+1)/(x-1)/(x^2-6*x+1) ogf] A210695 5.84941 [-(29816*f(x)-22579)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+5*x^2-f(x)+x) ogf] A210695 6.21499 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=12} ogf] A210695 8.09394 [-(-10*x^3+32*x^2+14*x-12)/(-5*x^4+34*x^3-28*x^2-2*x+1) lgdogf] A210698 3.60922 [-(x^11+9*x^10+23*x^9+115*x^8+109*x^7+139*x^6+219*x^5+91*x^4+53*x^3+25*x^2+7*x+1)/(x^2+x+1)^4/(x-1)^5 ogf] A210699 4.69707 [-(2*x^7+40*x^6+351*x^5+872*x^4+877*x^3+315*x^2+62*x+1)/(x-1)^9 ogf] A210728 10.4576 [(2*x^3-3*x^2+x-1)/(x^2+x-1)/(x-1)^2 ogf] A210728 4.42437 [{(-n-6)*a(n+1)-a(n+2)+(2*n+11)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=2,a(2)=7,a(3)=14} ogf] A210728 5.51531 [-(300*f(x)-1559)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-2*x^3+3*f(x)*x+3*x^2-f(x)-x+1) ogf] A210729 4.21359 [{(n+7)*a(n+1)+a(n+2)+(-2*n-13)*a(n+3)+(n+6)*a(n+4),a(0)=1,a(1)=2,a(2)=8,a(3)=16} ogf] A210729 5.40051 [(661*f(x)-5920)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-3*x^3+3*f(x)*x+4*x^2-f(x)-x+1) ogf] A210729 9.95939 [(3*x^3-4*x^2+x-1)/(x^2+x-1)/(x-1)^2 ogf] A210730 11.3038 [x^2*(3*x-4)/(x^2+x-1)/(x-1)^2 ogf] A210730 4.35731 [{(-n-6)*a(n+1)-a(n+2)+(2*n+11)*a(n+3)+(-n-5)*a(n+4),a(0)=0,a(1)=0,a(2)=4,a(3)=9} ogf] A210730 5.99968 [(5*f(x)-64)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-3*x^3+3*f(x)*x+4*x^2-f(x)) ogf] A210730 9.51170 [-(-9*x^3+13*x^2+7*x-9)/(-3*x^4+4*x^3+6*x^2-11*x+4) lgdogf] A210731 10.8544 [x^2*(4*x-5)/(x^2+x-1)/(x-1)^2 ogf] A210731 4.16087 [{(-n-7)*a(n+1)-a(n+2)+(2*n+13)*a(n+3)+(-n-6)*a(n+4),a(0)=0,a(1)=0,a(2)=5,a(3)=11} ogf] A210731 5.71722 [(6*f(x)-125)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-4*x^3+3*f(x)*x+5*x^2-f(x)) ogf] A210731 8.91614 [-(-12*x^3+16*x^2+9*x-11)/(-4*x^4+5*x^3+8*x^2-14*x+5) lgdogf] A210736 11.179 [-2*f(x)^2*x+f(x)^2+2*f(x)*x-f(x)-x ogf] A210736 7.69875 [{-4*a(n)*n-2*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A210772 7.25089 [-(12*x^5+11*x^4+30*x^3-44*x^2+13*x-1)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A210773 4.79009 [(256*x^8-400*x^7-42*x^6-169*x^5-470*x^4+734*x^3-252*x^2+29*x-1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A210774 3.85856 [-(2048*x^9-320*x^8+4220*x^7+5227*x^6+14870*x^5-23958*x^4+8798*x^3-1180*x^2+61*x-1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A210843 18.7477 [-(-4+x)/(-x+1) ogf_with_Euler_transform] A210886 6.27914 [11*(909091*x^10-3545454*x^7+3545454*x^6-3546454*x^3+909091*x^2+909091*x+910091)/(x^2+x+1)/(x-1)^2 ogf] A210887 4.91602 [(375*x^9+2284*x^6+376*x^5+375*x^4+2528*x^3+375*x^2+375*x+619)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A210888 6.80240 [11*(9091*x^6-35554*x^3+9091*x^2+9091*x+9191)/(x^2+x+1)/(x-1)^2 ogf] A210944 5.29998 [x*(3*x^18+7*x^17-21*x^16+21*x^15-21*x^14+21*x^13-11*x^12+10*x^11-11*x^10+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A210977 11.6366 [-(6*x^3+10*x^2+11*x+3)/(2*x^4+2*x^3-x^2-2*x-1) lgdogf] A210977 11.7803 [-x*(2*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A210978 10.2636 [-(-6*x^3-18*x^2-13*x-5)/(-2*x^4-4*x^3+x^2+4*x+1) lgdogf] A210978 10.3903 [-x*(2*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A210981 11.4355 [-(-6*x^3-26*x^2-15*x-7)/(-2*x^4-6*x^3+x^2+6*x+1) lgdogf] A210981 11.5767 [-x*(2*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A210982 11.5822 [-(-6*x^3-30*x^2-16*x-8)/(-2*x^4-7*x^3+x^2+7*x+1) lgdogf] A210982 11.7251 [-x*(2*x^2+7*x+1)/(x+1)^2/(x-1)^3 ogf] A211010 10.6172 [-x*(x+1)*(2*x^2+1)/(x-1)/(x^2+1) ogf] A211010 5.74116 [{-a(n+3)+a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4} ogf] A211010 6.10281 [-(2*f(x)+5)*(f(x)*x^3+2*x^4-f(x)*x^2+2*x^3+f(x)*x+x^2-f(x)+x) ogf] A211010 9.22687 [-(4*x^4-2*x^3+6*x^2+2*x+2)/(2*x^6+x^4-2*x^2-1) lgdogf] A211012 14.3864 [-(16*x-6)/(8*x^2-6*x+1) lgdogf] A211012 19.0523 [8*x^2/(4*x-1)/(2*x-1) ogf] A211012 7.04935 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=0,a(1)=0,a(2)=8} ogf] A211012 9.15498 [f(x)*(8*f(x)*x^2-6*f(x)*x-8*x^2+f(x)) ogf] A211013 13.3099 [-x*(x+10)/(x-1)^3 ogf] A211013 15.4395 [-(2*x+31)/(x^2+9*x-10) lgdogf] A211013 6.54216 [(133463*f(x)-771561)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10*x) ogf] A211013 6.83164 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=31} ogf] A211014 13.0345 [-x*(x+11)/(x-1)^3 ogf] A211014 14.8235 [-(2*x+34)/(x^2+10*x-11) lgdogf] A211014 6.69027 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=11,a(2)=34} ogf] A211014 7.16643 [(27216*f(x)-173489)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+11*x) ogf] A211033 4.15199 [-(x^11+7*x^10+25*x^9+53*x^8+91*x^7+219*x^6+139*x^5+109*x^4+115*x^3+23*x^2+9*x+1)/(x^2+x+1)^4/(x-1)^5 ogf] A211034 4.30976 [-x*(4*x^9+20*x^8+59*x^7+109*x^6+96*x^5+136*x^4+100*x^3+28*x^2+21*x+3)/(x^2+x+1)^4/(x-1)^5 ogf] A211064 4.63267 [-(x^7+9*x^6+51*x^5+59*x^4+83*x^3+27*x^2+9*x+1)/(x+1)^4/(x-1)^5 ogf] A211065 5.06826 [-2*x*(3*x^5+5*x^4+28*x^3+16*x^2+17*x+3)/(x+1)^4/(x-1)^5 ogf] A211068 4.90131 [-x*(3*x^5+5*x^4+28*x^3+16*x^2+17*x+3)/(x+1)^4/(x-1)^5 ogf] A211071 3.80654 [-x*(3*x^9+21*x^8+28*x^7+100*x^6+136*x^5+96*x^4+109*x^3+59*x^2+20*x+4)/(x^2+x+1)^4/(x-1)^5 ogf] A211114 8.17070 [-(20*x^4-26*x^2+x+9)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A211115 4.10897 [-2*(10*x^8-22*x^7-29*x^6+76*x^5+7*x^4-66*x^3+14*x^2+17*x-6)/(x-1)/(2*x-1)/(2*x^2-1)/(x^2+x-1)/(x^3-2*x^2-x+1) ogf] A211116 3.90902 [-(10*x^8-x^7-83*x^6+21*x^5+159*x^4-104*x^3-53*x^2+60*x-13)/(x-1)/(2*x-1)/(x^2+x-1)/(x^2+2*x-1)/(x^3-2*x^2-x+1) ogf] A211117 5.93820 [-2*(5*x^5+8*x^4-18*x^3-12*x^2+21*x-6)/(x^2+2*x-1)/(x^2+x-1)/(x-1)/(2*x-1) ogf] A211154 5.55249 [-(x^8+36*x^6+416*x^5+734*x^4+1472*x^3+724*x^2+416*x+41)/(x+1)^4/(x-1)^5 ogf] A211155 5.69321 [-8*(5*x^6+16*x^5+91*x^4+64*x^3+91*x^2+16*x+5)/(x+1)^4/(x-1)^5 ogf] A211158 5.34792 [-4*(5*x^6+16*x^5+91*x^4+64*x^3+91*x^2+16*x+5)/(x+1)^4/(x-1)^5 ogf] A211164 11.4562 [(x+1)*(2*x+1)*(x-1)^2/(2*x^2-1)^2 ogf] A211164 7.60278 [(8*f(x)+23)*(4*f(x)*x^4-2*x^4-4*f(x)*x^2+x^3+3*x^2+f(x)-x-1) ogf] A211164 9.50348 [-(2*x^3+6*x^2+3*x+1)/(-4*x^5-2*x^4+6*x^3+3*x^2-2*x-1) lgdogf] A211216 4.64426 [f(x)*(f(x)*x^5-15*f(x)*x^4+35*f(x)*x^3+5*x^4-28*f(x)*x^2-20*x^3+9*f(x)*x+21*x^2-f(x)-8*x+1) ogf] A211216 7.58246 [-(x^2-3*x+1)*(5*x^2-5*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A211221 11.1838 [-(-9*x^2-8*x-3)/(-3*x^4-9*x^3-2*x^2+3*x+1) lgdogf] A211221 16.4334 [-(x^2+3*x+1)/(3*x^2-1) ogf] A211221 9.58613 [{a(n+3)-3*a(n+1),a(0)=1,a(1)=3,a(2)=4} ogf] A211221 9.81994 [-(129*f(x)+23)*(3*f(x)*x^2+x^2-f(x)+3*x+1) ogf] A211227 10.7652 [-(4*x^3+x^2-2*x-1)/(2*x^2-1)^2 ogf] A211227 6.60132 [-(4*f(x)+31)*(4*f(x)*x^4-4*f(x)*x^2+4*x^3+x^2+f(x)-2*x-1) ogf] A211227 7.95159 [-(-8*x^4-4*x^3+6*x+2)/(-8*x^5-2*x^4+8*x^3+3*x^2-2*x-1) lgdogf] A211228 6.67608 [-(x^2+1)*(x^4+x^3+x^2-x-1)/(x^4+x^2-1)^2 ogf] A211231 5.14448 [-(151632*f(x)+1038565)*(9*f(x)*x^4-6*f(x)*x^2+8*x^3+f(x)-3*x-1) ogf] A211231 9.74744 [-(8*x^3-3*x-1)/(3*x^2-1)^2 ogf] A211253 13.0979 [-(17*x^2+13*x-21)/(x-1)/(x^2+x-1) ogf] A211253 7.19101 [(1037*f(x)-7169)*(f(x)*x^3-2*f(x)*x+17*x^2+f(x)+13*x-21) ogf] A211253 7.56168 [{-a(n+3)+2*a(n+2)-a(n),a(0)=21,a(1)=29,a(2)=41} ogf] A211279 10.5088 [12*f(x)^2*x^3-13*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A211279 12.8270 [-(-18*x^2+13*x-3)/(-12*x^3+13*x^2-6*x+1) lgdogf] A211279 21.4624 [-(-18*x^2+13*x-3)/(-12*x^3+13*x^2-6*x+1) lgdogf] A211279 4.31799 [{(-n-4)*a(n+4)+(21+6*n)*a(n+3)+(-39-13*n)*a(n+2)+(30+12*n)*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15} ogf] A211281 10.2221 [-(-24*x^3+24*x^2-13*x+3)/(-12*x^4+16*x^3-13*x^2+6*x-1) lgdogf] A211281 16.0253 [-(-24*x^3+24*x^2-13*x+3)/(-12*x^4+16*x^3-13*x^2+6*x-1) lgdogf] A211281 8.61863 [-12*f(x)^2*x^4+16*f(x)^2*x^3-13*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A211288 13.7888 [-(-12*x^2-3*x+3)/(-6*x^3-x^2+4*x-1) lgdogf] A211288 25.2153 [-(-12*x^2-3*x+3)/(-6*x^3-x^2+4*x-1) lgdogf] A211288 4.50387 [{(-n-4)*a(n+4)+(15+4*n)*a(n+3)+(-5-n)*a(n+2)+(-18-6*n)*a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=25} ogf] A211288 8.96271 [-12*f(x)^2*x^4+4*f(x)^2*x^3+9*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A211290 13.8969 [-(-30*x^4+32*x^3-6*x^2-9*x+3)/(-12*x^5+16*x^4-4*x^3-9*x^2+6*x-1) lgdogf] A211290 9.03139 [-(-30*x^4+32*x^3-6*x^2-9*x+3)/(-12*x^5+16*x^4-4*x^3-9*x^2+6*x-1) lgdogf] A211293 11.7671 [-(36*x^5-10*x^4-24*x^3+6*x^2+9*x-3)/(12*x^6-4*x^5-12*x^4+4*x^3+9*x^2-6*x+1) lgdogf] A211293 7.66044 [-(36*x^5-10*x^4-24*x^3+6*x^2+9*x-3)/(12*x^6-4*x^5-12*x^4+4*x^3+9*x^2-6*x+1) lgdogf] A211295 11.5953 [-(-36*x^5-20*x^4+32*x^3-6*x^2-9*x+3)/(-12*x^6-8*x^5+16*x^4-4*x^3-9*x^2+6*x-1) lgdogf] A211295 7.74849 [-(-36*x^5-20*x^4+32*x^3-6*x^2-9*x+3)/(-12*x^6-8*x^5+16*x^4-4*x^3-9*x^2+6*x-1) lgdogf] A211305 5.79804 [12*f(x)^2*x^4-43*f(x)^2*x^3+34*f(x)^2*x^2-10*f(x)^2*x-12*f(x)*x^2+f(x)^2+7*f(x)*x-f(x)-x ogf] A211307 5.41739 [16*f(x)^2*x^4+4*f(x)^2*x^3-6*f(x)^2*x^2+16*f(x)*x^3+f(x)^2*x+4*f(x)*x^2-6*f(x)*x+4*x^2+f(x)+x-1 ogf] A211308 10.1903 [-(32*x^3-30*x^2+20*x-4)/(16*x^4-20*x^3+20*x^2-8*x+1) lgdogf] A211308 16.5969 [-(32*x^3-30*x^2+20*x-4)/(16*x^4-20*x^3+20*x^2-8*x+1) lgdogf] A211308 8.59186 [16*f(x)^2*x^4-20*f(x)^2*x^3+20*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-1 ogf] A211322 13.7605 [-(9*x^2+7*x-11)/(x-1)/(x^2+x-1) ogf] A211322 7.21425 [-(-9*x^4-14*x^3+15*x^2+18*x-15)/(-9*x^5-7*x^4+29*x^3+5*x^2-29*x+11) lgdogf] A211322 7.58232 [(107*f(x)-385)*(f(x)*x^3-2*f(x)*x+9*x^2+f(x)+7*x-11) ogf] A211322 7.66049 [{-a(n+3)+2*a(n+2)-a(n),a(0)=11,a(1)=15,a(2)=21} ogf] A211323 4.77565 [-(f(x)+534)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+18*x^3+4*f(x)*x+2*x^2-f(x)-32*x+14) ogf] A211323 8.71558 [-2*(9*x^3+x^2-16*x+7)/(x^2+x-1)/(x-1)/(2*x-1) ogf] A211324 5.35562 [-(36*x^6+36*x^5-82*x^4-49*x^3+62*x^2+16*x-15)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+x-1) ogf] A211327 4.62442 [(21305*f(x)-162626)*(4*f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2+28*x^3-f(x)*x+24*x^2+f(x)-18*x-15) ogf] A211327 8.56375 [-(28*x^3+24*x^2-18*x-15)/(x+1)/(2*x-1)/(2*x^2-1) ogf] A211328 4.04763 [-2*(42*x^7+249*x^6+302*x^5-321*x^4-299*x^3+352*x^2-113*x+12)/(3*x-1)/(2*x-1)/(2*x^2+3*x-1)/(x^2+2*x-1)/(x^2+3*x-1) ogf] A211329 13.2691 [-(13*x^2+11*x-15)/(x-1)/(x^2+x-1) ogf] A211329 7.28498 [(1049*f(x)-5215)*(f(x)*x^3-2*f(x)*x+13*x^2+f(x)+11*x-15) ogf] A211329 7.66049 [{-a(n+3)+2*a(n+2)-a(n),a(0)=15,a(1)=19,a(2)=25} ogf] A211374 11.9846 [-(x^2-x-1)/(x-1)^2/(x+1)^2 egf] A211374 7.34538 [(2*f(x)+7)*(f(x)*x^4-2*f(x)*x^2+x^2+f(x)-x-1) egf] A211374 8.53900 [-(-2*x^3+3*x^2+2*x+1)/(-x^4+x^3+2*x^2-x-1) lgdegf] A211379 10.0364 [-(-4*x^3+3*x^2+18*x+7)/(-x^4+x^3+4*x^2-x-3) lgdogf] A211379 4.04454 [{(-n^3-13*n^2-52*n-60)*a(n+1)+(-2*n^2-20*n-48)*a(n+2)+(n^3+9*n^2+20*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A211379 8.74142 [-x^3*(x^2-x-3)/(x+1)^2/(x-1)^4 ogf] A211380 6.84402 [x*(2*x^5-3*x^4-7*x^3-x^2-2*x-1)/(x+1)^2/(x-1)^5 ogf] A211381 7.95643 [x^4*(2*x^2-3*x-7)/(x+1)^2/(x-1)^5 ogf] A211381 9.56665 [-(-10*x^3+12*x^2+54*x+24)/(-2*x^4+3*x^3+9*x^2-3*x-7) lgdogf] A211386 10.6001 [1/(x-1)/(2*x-1)^5 ogf] A211386 15.6882 [-(12*x-11)/(2*x^2-3*x+1) lgdogf] A211386 5.09357 [{(-n-3)*a(n+3)+(17+3*n)*a(n+2)+(-14-2*n)*a(n+1),a(0)=1,a(1)=11,a(2)=71} ogf] A211387 3.59691 [-(44*x^9-289*x^8+804*x^7-1311*x^6+1338*x^5-879*x^4+373*x^3-99*x^2+15*x-1)/(x^2-3*x+1)/(x-1)^2/(2*x-1)^6 ogf] A211388 13.2207 [-(14*x-13)/(2*x^2-3*x+1) lgdogf] A211388 4.29243 [{(-n-3)*a(n+3)+(19+3*n)*a(n+2)+(-16-2*n)*a(n+1),a(0)=1,a(1)=13,a(2)=97} ogf] A211388 8.26292 [-1/(x-1)/(2*x-1)^6 ogf] A211390 8.04198 [-(x^12-x^11+x^8-x^7+2*x^4-2*x^3-2*x-2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A211407 13.8717 [-(1067*x^11+x^2+131*x+1)/(x-1) ogf] A211412 10.2242 [-(x^4+50*x^2+40*x+5)/(x-1)^5 ogf] A211412 8.74954 [-(x^4+4*x^3+150*x^2+260*x+65)/(x^5-x^4+50*x^3-10*x^2-35*x-5) lgdogf] A211419 3.92576 [{(432*n^3+1944*n^2+2868*n+1386)*a(n+1)+(-16*n^3-80*n^2-131*n-70)*a(n+2),a(0)=1,a(1)=10} ogf] A211420 3.12732 [{(32768*n^4+196608*n^3+437248*n^2+427008*n+154440)*a(n+1)+(-54*n^4-351*n^3-849*n^2-906*n-360)*a(n+2),a(0)=1,a(1)=140} ogf] A211421 3.49630 [{(8192*n^4+49152*n^3+109312*n^2+106752*n+38610)*a(n+1)+(-216*n^4-1404*n^3-3378*n^2-3561*n-1386)*a(n+2),a(0)=1,a(1)=14} ogf] A211433 6.78317 [-(x^6+5*x^4+4*x^3+5*x^2+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A211434 7.62950 [-(x^6-x^5+4*x^4+4*x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211435 8.32766 [-(x^6+x^5+4*x^3+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211436 5.24999 [-(x^8+x^7+6*x^6+9*x^5+12*x^4+9*x^3+6*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A211438 8.19246 [-(x^4+2*x^3+8*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A211439 7.10893 [-(x^6+2*x^5+2*x^4+12*x^3+2*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A211440 7.07374 [-(x^2+3*x+1)*(x^4-x^3+4*x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A211441 11.7714 [3*x*(x^2-2*x-1)/(x-1)^3 ogf] A211441 11.9553 [-(-x^2+2*x+5)/(-x^3+3*x^2-x-1) lgdogf] A211441 5.75292 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=3,a(2)=15,a(3)=33} ogf] A211441 6.27163 [-(11*f(x)-105)*(f(x)*x^3-3*f(x)*x^2-3*x^3+3*f(x)*x+6*x^2-f(x)+3*x) ogf] A211459 4.32634 [-2*(46*x^7-25*x^6-132*x^5+74*x^4+93*x^3-52*x^2-18*x+10)/(x-1)/(2*x-1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211460 3.86841 [-(104*x^8+60*x^7-312*x^6-83*x^5+332*x^4+51*x^3-143*x^2-10*x+21)/(x-1)/(2*x-1)/(x+1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211461 3.48575 [-2*(46*x^9-71*x^8-175*x^7+222*x^6+242*x^5-210*x^4-123*x^3+84*x^2+20*x-12)/(2*x-1)/(3*x^2-1)/(2*x^2-1)/(x^3-2*x^2-x+1)/(x^2+x-1) ogf] A211463 4.03959 [-4*(30*x^7-150*x^6+92*x^5+264*x^4+11*x^3-69*x^2-5*x+5)/(6*x^2+2*x-1)/(2*x^3-6*x^2-x+1)/(2*x^3-5*x^2-2*x+1) ogf] A211465 5.97306 [-4*(10*x^4+60*x^3+61*x^2-43*x+6)/(4*x-1)/(2*x^2+4*x-1)/(x^2+4*x-1) ogf] A211466 13.0979 [-(21*x^2+17*x-25)/(x-1)/(x^2+x-1) ogf] A211466 7.26221 [(727*f(x)-5935)*(f(x)*x^3-2*f(x)*x+21*x^2+f(x)+17*x-25) ogf] A211466 7.56168 [{-a(n+3)+2*a(n+2)-a(n),a(0)=25,a(1)=33,a(2)=45} ogf] A211476 4.86884 [(7321*f(x)-24010)*(4*f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2+12*x^3-f(x)*x+8*x^2+f(x)-10*x-7) ogf] A211476 8.99811 [-(12*x^3+8*x^2-10*x-7)/(x+1)/(2*x-1)/(2*x^2-1) ogf] A211477 6.09258 [-2*(6*x^5-12*x^4-7*x^3+15*x^2+3*x-4)/(2*x-1)/(2*x^2-1)/(x^3-2*x^2-x+1) ogf] A211478 3.98248 [-(6*x^8-x^7-51*x^6+13*x^5+99*x^4-68*x^3-33*x^2+40*x-9)/(x-1)/(2*x-1)/(x^2+x-1)/(x^2+2*x-1)/(x^3-2*x^2-x+1) ogf] A211479 11.0039 [-2*(3*x^2+5*x-4)/(2*x-1)/(x^2+2*x-1) ogf] A211479 5.68532 [-(521*f(x)-488)*(2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+6*x^2+f(x)+10*x-8) ogf] A211479 5.98455 [{a(n+3)-4*a(n+2)+3*a(n+1)+2*a(n),a(0)=8,a(1)=22,a(2)=58} ogf] A211479 6.68862 [-(-6*x^4-20*x^3-3*x^2+30*x-11)/(-6*x^5-19*x^4+5*x^3+29*x^2-21*x+4) lgdogf] A211480 9.41148 [-x*(3*x^2+2*x+3)/(x^2+x+1)/(x-1)^3 ogf] A211481 8.19710 [-(3*x^4+5*x^3+4*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A211482 8.58226 [-(6*x^7-6*x^6+3*x^5-2*x^4-x^3-3*x^2-8*x-1)/(x-1)^2 ogf] A211490 13.5103 [-(11*x^2+9*x-13)/(x-1)/(x^2+x-1) ogf] A211490 7.43068 [(633*f(x)-2693)*(f(x)*x^3-2*f(x)*x+11*x^2+f(x)+9*x-13) ogf] A211490 7.66049 [{-a(n+3)+2*a(n+2)-a(n),a(0)=13,a(1)=17,a(2)=23} ogf] A211491 4.32031 [-2*(82*x^7-19*x^6-222*x^5+93*x^4+149*x^3-71*x^2-28*x+14)/(x-1)/(2*x-1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211492 3.80285 [-(176*x^8+144*x^7-480*x^6-225*x^5+482*x^4+125*x^3-201*x^2-22*x+29)/(x-1)/(2*x-1)/(x+1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211495 3.46554 [-4*(108*x^8-578*x^7+526*x^6+828*x^5-314*x^4-263*x^3+77*x^2+25*x-7)/(2*x-1)/(6*x^2+2*x-1)/(2*x^3-6*x^2-x+1)/(2*x^3-5*x^2-2*x+1) ogf] A211498 3.58951 [-2*(60*x^9-36*x^8-284*x^7+167*x^6+426*x^5-244*x^4-218*x^3+123*x^2+34*x-19)/(x-1)/(2*x-1)/(2*x^2-1)/(x^2+x-1)/(2*x^4-4*x^2+1) ogf] A211504 3.91326 [-6*(42*x^6+460*x^5+1427*x^4+967*x^3-737*x^2+137*x-8)/(6*x-1)/(2*x^2+6*x-1)/(3*x^2+6*x-1)/(x^2+6*x-1) ogf] A211519 9.93914 [-x*(x^3+x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A211520 7.84592 [-x^3*(x^3+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A211521 7.31210 [-x^2*(x^4+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A211522 7.87966 [-x^3*(x^4+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211523 8.65126 [-x^2*(x^4-x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211524 11.0783 [-x^8/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211525 11.6313 [-2*(10*x^2+x-4)/(2*x-1)/(2*x^2-1) ogf] A211525 6.27076 [(17*f(x)-226)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+20*x^2+f(x)+2*x-8) ogf] A211525 6.32577 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=8,a(1)=14,a(2)=24} ogf] A211525 7.06998 [-(40*x^4+8*x^3-30*x^2-4*x+7)/(40*x^5-16*x^4-38*x^3+16*x^2+9*x-4) lgdogf] A211526 10.2052 [-2*(6*x^3-11*x^2-3*x+4)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A211526 5.66071 [-(11*f(x)-546)*(4*f(x)*x^4-6*f(x)*x^3+12*x^3+3*f(x)*x-22*x^2-f(x)-6*x+8) ogf] A211527 4.18148 [-2*(6*x^8-10*x^7-23*x^6+42*x^5+9*x^4-40*x^3+8*x^2+11*x-4)/(x-1)/(2*x-1)/(2*x^2-1)/(x^2+x-1)/(x^3-2*x^2-x+1) ogf] A211528 6.30063 [-2*(6*x^5-5*x^4-18*x^3+11*x^2+7*x-4)/(x^2+x-1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A211529 6.35589 [-2*(2*x^5-11*x^4-14*x^3+15*x^2+5*x-4)/(x^2+x-1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A211530 4.83753 [-2*(2*x^7-3*x^6-9*x^5+19*x^4+14*x^3-16*x^2-5*x+4)/(2*x-1)/(2*x^2-1)/(x^2+x-1)/(x^3-2*x^2-x+1) ogf] A211531 4.10018 [-(2*x^8+x^7-23*x^6-27*x^5+45*x^4+48*x^3-31*x^2-18*x+9)/(x+1)/(2*x-1)/(x^2+x-1)/(x^2+2*x-1)/(x^3-2*x^2-x+1) ogf] A211532 5.20636 [-2*(6*x^6+x^5-23*x^4-3*x^3+18*x^2+x-4)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+x-1) ogf] A211533 7.45035 [-x^2*(x^6+x^4+2*x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211534 14.0818 [-x^6/(x^2+x+1)^2/(x-1)^3 ogf] A211534 15.4358 [-(7*x^2+x+1)/(x^3-1) lgdogf] A211535 13.6700 [-x^9/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211536 7.76900 [-x^3*(x^6+2*x^3+x^2+x+2)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211538 11.1794 [-x^3*(2*x+1)/(x+1)^2/(x-1)^3 ogf] A211538 13.4502 [-(8*x^2+7*x+3)/(2*x^3+x^2-2*x-1) lgdogf] A211538 5.03399 [{(3*n^2+5*n-2)*a(n+1)+(-6+3*n)*a(n+2)+(-3*n^2+4*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A211538 6.88651 [f(x)*x^5-f(x)*x^4-2*f(x)*x^3+2*x^4+2*f(x)*x^2+x^3+f(x)*x-f(x) ogf] A211539 10.2056 [-x^2*(x+2)/(x+1)^2/(x-1)^3 ogf] A211539 12.0897 [-(-4*x^2-11*x-3)/(-x^3-2*x^2+x+2) lgdogf] A211539 4.64988 [{(-3*n^2-22*n-39)*a(n+1)+(-15-3*n)*a(n+2)+(3*n^2+13*n+10)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A211540 11.2350 [-(6*x^3+7*x^2+4*x+1)/(x^4+x^3-x-1) lgdogf] A211540 14.1915 [-x^5/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A211540 27.7838 [[x^2+x+1] ogf_with_Euler_transform] A211541 5.89801 [-x^2*(x^6+x^5+x^4+x^3+2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A211542 5.90226 [-x^2*(x^6+x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A211543 17.9759 [-x^7+x^4+x^3+x^2+1 ogf_with_Euler_transform] A211543 8.73175 [-x^4*(x^4+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211544 7.44431 [-x^3*(x+1)*(x^4-x^3+x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A211545 10.7926 [x*(7*x^2+13*x+4)/(x-1)^4 ogf] A211545 11.9202 [-(14*x^2+53*x+29)/(7*x^3+6*x^2-9*x-4) lgdogf] A211545 3.97341 [{(-12-4*n)*a(n+4)+(11-9*n)*a(n+3)+(59+6*n)*a(n+2)+(14+7*n)*a(n+1),a(0)=0,a(1)=4,a(2)=29,a(3)=99} ogf] A211545 5.39633 [(11782144*f(x)+63333495)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-13*x^2+f(x)-4*x) ogf] A211546 8.48354 [-x^3*(x^3+x^2+x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A211547 10.5283 [-(4*x^5+x^4+x^3+10*x^2+x+1)/(x^6-1) lgdogf] A211547 10.5283 [-x^3*(x+1)*(x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A211547 27.8398 [-x^5+3*x^2+1 ogf_with_Euler_transform] A211549 13.4757 [-(25*x^2+19*x-31)/(x-1)/(x^2+x-1) ogf] A211549 7.32661 [(2161*f(x)-22127)*(f(x)*x^3-2*f(x)*x+25*x^2+f(x)+19*x-31) ogf] A211549 7.77980 [{-a(n+3)+2*a(n+2)-a(n),a(0)=31,a(1)=43,a(2)=61} ogf] A211562 7.41509 [-(-2*x^4+10*x^3-21*x^2+12*x-14)/(-2*x^5+11*x^4-25*x^3+27*x^2-16*x+5) lgdogf] A211562 7.95020 [-(2*x^4-9*x^3+16*x^2-11*x+5)/(x-1)^5 ogf] A211563 5.11421 [-(5*x^6-33*x^5+92*x^4-139*x^3+129*x^2-54*x+15)/(x-1)^7 ogf] A211564 3.86903 [-(15*x^8-130*x^7+497*x^6-1097*x^5+1534*x^4-1367*x^3+867*x^2-266*x+52)/(x-1)^9 ogf] A211565 4.59125 [-(52*x^10-557*x^9+2700*x^8-7808*x^7+14939*x^6-19799*x^5+18612*x^4-11581*x^3+5541*x^2-1357*x+203)/(x-1)^11 ogf] A211567 5.85452 [-2*(94*x^5-77*x^4-79*x^3+62*x^2+16*x-12)/(x-1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A211568 4.52058 [-2*(82*x^7-x^6-228*x^5+75*x^4+145*x^3-61*x^2-26*x+12)/(x-1)/(2*x-1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211569 4.49215 [-2*(58*x^7-37*x^6-196*x^5+111*x^4+125*x^3-69*x^2-22*x+12)/(x-1)/(2*x-1)/(3*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211570 7.52820 [-2*(29*x^4-15*x^3-32*x^2+6*x+8)/(x-1)/(3*x^2-1)/(2*x^2-1) ogf] A211573 5.87158 [-4*(24*x^5-42*x^4-14*x^3+30*x^2+x-4)/(x-1)/(2*x-1)/(6*x^2-1)/(2*x^2-1) ogf] A211576 3.42509 [-2*(60*x^9-186*x^8-286*x^7+421*x^6+290*x^5-318*x^4-91*x^3+90*x^2+8*x-8)/(x-1)/(2*x-1)/(3*x^2-1)/(6*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211578 4.20922 [-4*(36*x^7+18*x^6-116*x^5-84*x^4+49*x^3+38*x^2-5*x-4)/(6*x^2-1)/(2*x^2-1)/(x^2+x-1)/(4*x^2+x-1) ogf] A211584 4.20914 [-2*(60*x^8-126*x^7-340*x^6+45*x^5+299*x^4-x^3-88*x^2+8)/(2*x-1)/(3*x^2-1)/(6*x^2-1)/(x^2+x-1)/(2*x^2-1) ogf] A211606 11.3046 [-(3*x^3+7*x^2+16*x+10)/(-3*x^2-4*x-6) lgdegf] A211606 19.9889 [-(3*x^3+7*x^2+16*x+10)/(-3*x^2-4*x-6) lgdegf] A211607 11.1172 [-(13987*x^2-24518*x+10753)/(x-1)^3 ogf] A211607 5.55859 [(4544006704*f(x)+157081558322543)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13987*x^2-f(x)-24518*x+10753) ogf] A211607 6.65208 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10753,a(1)=7741,a(2)=4951} ogf] A211607 8.91818 [-(-13987*x^2+21062*x-7741)/(-13987*x^3+38505*x^2-35271*x+10753) lgdogf] A211612 10.8422 [x*(x^2+19*x+4)/(x-1)^4 ogf] A211612 11.7988 [-(2*x^2+59*x+35)/(x^3+18*x^2-15*x-4) lgdogf] A211612 3.97188 [{(-12-4*n)*a(n+4)+(5-15*n)*a(n+3)+(77+18*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=4,a(2)=35,a(3)=117} ogf] A211612 5.3847 [(52488192*f(x)+451185179)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-19*x^2+f(x)-4*x) ogf] A211613 4.38822 [{(25805*n^2+8111*n)*a(n)+(38054*n^2+334862*n+202440)*a(n+1)+(-63859*n^2-73981*n-10122)*a(n+2),a(0)=0,a(1)=1} ogf] A211613 4.9916 [-(22480896*f(x)+14793367)*(f(x)*x^4-4*f(x)*x^3-3*x^4+6*f(x)*x^2-4*x^3-4*f(x)*x-16*x^2+f(x)-x) ogf] A211613 9.39595 [-(-3*x^3-17*x^2-56*x-20)/(-3*x^4-x^3-12*x^2+15*x+1) lgdogf] A211613 9.73971 [x*(3*x^3+4*x^2+16*x+1)/(x-1)^4 ogf] A211614 8.54831 [-(-6*x^3-20*x^2-59*x-11)/(-3*x^5+9*x^4-25*x^3+12*x^2+6*x+1) lgdogf] A211614 8.83326 [x*(3*x^4-6*x^3+19*x^2+7*x+1)/(x-1)^4 ogf] A211615 11.1978 [-6*x*(x^2+x+1)/(x-1)^3 ogf] A211615 13.9973 [-(x^2+4*x+4)/(x^3-1) lgdogf] A211615 28.9208 [[-x^2+4] ogf_with_Euler_transform] A211615 5.47263 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=6,a(2)=24,a(3)=60} ogf] A211615 6.5573 [-f(x)*(f(x)*x^3-3*f(x)*x^2+6*x^3+3*f(x)*x+6*x^2-f(x)+6*x) ogf] A211616 11.1311 [-6*x*(x^3-x^2+4*x+1)/(x-1)^3 ogf] A211616 11.4403 [-(-2*x^2-6*x-7)/(-x^4+2*x^3-5*x^2+3*x+1) lgdogf] A211616 5.56556 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=0,a(1)=6,a(2)=42,a(3)=102,a(4)=192} ogf] A211616 6.58962 [(9*f(x)+98)*(f(x)*x^3+6*x^4-3*f(x)*x^2-6*x^3+3*f(x)*x+24*x^2-f(x)+6*x) ogf] A211617 7.49832 [-(-14*x^4-72*x^3-156*x^2-112*x-30)/(-7*x^5-17*x^4-14*x^3+14*x^2+21*x+3) lgdogf] A211617 8.81670 [x*(7*x^3+17*x^2+21*x+3)/(x+1)/(x-1)^4 ogf] A211618 8.06723 [x*(2*x^4+5*x^3+23*x^2+15*x+3)/(x+1)/(x-1)^4 ogf] A211619 7.39496 [x*(2*x^5-2*x^4+11*x^3+21*x^2+15*x+1)/(x+1)/(x-1)^4 ogf] A211620 11.1238 [-2*x*(2*x^3+3*x^2+6*x+1)/(x+1)/(x-1)^3 ogf] A211620 4.89975 [{-a(n)*n+(-n-6)*a(n+1)+(n-4)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=16} ogf] A211620 6.28365 [-(38*f(x)-261)*(f(x)*x^4-2*f(x)*x^3+4*x^4+6*x^3+2*f(x)*x+12*x^2-f(x)+2*x) ogf] A211620 8.31473 [-(-2*x^4-10*x^3-30*x^2-22*x-8)/(-2*x^5-3*x^4-4*x^3+2*x^2+6*x+1) lgdogf] A211621 7.36073 [x*(7*x^5+22*x^4+44*x^3+45*x^2+23*x+3)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A211622 8.06723 [x*(x^4+5*x^3+22*x^2+17*x+3)/(x+1)/(x-1)^4 ogf] A211623 11.1813 [-2*x*(x^3+2*x^2+4*x+1)/(x+1)/(x-1)^3 ogf] A211623 6.0017 [-(16576*f(x)-119989)*(f(x)*x^4-2*f(x)*x^3+2*x^4+4*x^3+2*f(x)*x+8*x^2-f(x)+2*x) ogf] A211623 8.32890 [-(-x^4-6*x^3-19*x^2-16*x-6)/(-x^5-2*x^4-3*x^3+x^2+4*x+1) lgdogf] A211624 7.42889 [x*(7*x^4+23*x^3+40*x^2+22*x+4)/(x+1)^2/(x-1)^4 ogf] A211625 5.65014 [x*(7*x^6+23*x^5+48*x^4+66*x^3+44*x^2+24*x+4)/(x^2+x+1)^2/(x-1)^4 ogf] A211626 4.98335 [x*(7*x^8+23*x^7+48*x^6+72*x^5+92*x^4+66*x^3+48*x^2+24*x+4)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A211627 4.36043 [x*(7*x^10+23*x^9+48*x^8+72*x^7+96*x^6+118*x^5+88*x^4+72*x^3+48*x^2+24*x+4)/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A211628 7.42889 [x*(7*x^4+16*x^3+27*x^2+18*x+4)/(x^2+x+1)/(x-1)^4 ogf] A211629 6.41856 [x*(7*x^5+16*x^4+26*x^3+24*x^2+19*x+4)/(x+1)/(x^2+1)/(x-1)^4 ogf] A211630 5.98746 [x*(7*x^6+16*x^5+25*x^4+26*x^3+22*x^2+20*x+4)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A211661 15.5902 [-(x^26+x^2+1)/(x-1) ogf] A211662 11.3979 [-(6*x^7-7*x^6-1)/(-x^8+x^7-x+1) lgdogf] A211662 18.9038 [-x*(x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1) ogf] A211662 25.7674 [-x^13+x^6+1 ogf_with_Euler_transform] A211662 5.27250 [{a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=1,a(6)=1,a(7)=1,a(8)=2} ogf] A211663 16.0289 [-(x^15+x^2+1)/(x-1) ogf] A211664 11.4370 [-(-6*x^7+7*x^6+2)/(x^8-x^7+x^2-1) lgdogf] A211664 18.2992 [-(x^7+x+1)/(x-1) ogf] A211665 12.5763 [-(-8*x^9+9*x^8+1)/(x^10-x^9+x-1) lgdogf] A211665 21.1651 [-(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x-1) ogf] A211665 28.8576 [-x^17+x^8+1 ogf_with_Euler_transform] A211665 5.16529 [{-a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=1,a(6)=1,a(7)=1,a(8)=1,a(9)=2} ogf] A211666 10.7625 [{-a(n+2)+a(n+1),a(0)=0,a(1)=1} ogf] A211666 26.3495 [-x/(x-1) ogf] A211666 31.8390 [1/(-x+1) lgdogf] A211666 58.6232 [[1] ogf_with_Euler_transform] A211667 15.5011 [-x*(x^14+x^2+1)/(x-1) ogf] A211669 11.3979 [-(-5*x^6+6*x^5+1)/(x^7-x^6+x-1) lgdogf] A211669 18.9038 [-x*(x^2+1)*(x^4-x^2+1)/(x-1) ogf] A211669 25.7674 [-x^11+x^5+1 ogf_with_Euler_transform] A211669 5.74116 [{a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=1,a(6)=1,a(7)=2} ogf] A211670 8.00914 [-(-x^58-x^57-x^56+x^5-x^2-x-1)/(x^58+x^56+x^2+1) ogf_with_Euler_transform] A211681 6.59488 [(2*x^7-2*x^6+5*x^5-2*x^4+2*x^3+2*x^2+x+2)/(x-1)/(10*x^4-1)/(x^4+1) ogf] A211703 9.22808 [(4*x^5+5*x^4+7*x^3+5*x^2+3*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A211704 4.72869 [(5*x^9+11*x^8+19*x^7+24*x^6+26*x^5+22*x^4+16*x^3+9*x^2+4*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A211710 13.4757 [-2*(14*x^2+11*x-17)/(x-1)/(x^2+x-1) ogf] A211710 7.11925 [-(-14*x^4-22*x^3+23*x^2+28*x-23)/(-14*x^5-11*x^4+45*x^3+8*x^2-45*x+17) lgdogf] A211710 7.47169 [(823*f(x)-9134)*(f(x)*x^3-2*f(x)*x+28*x^2+f(x)+22*x-34) ogf] A211710 7.77980 [{-a(n+3)+2*a(n+2)-a(n),a(0)=34,a(1)=46,a(2)=64} ogf] A211715 14.0378 [-2*(22*x-17)/(x-1)/(2*x-1) ogf] A211715 6.94502 [-(19*f(x)+1036)*(2*f(x)*x^2-3*f(x)*x+f(x)+44*x-34) ogf] A211715 7.85448 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=34,a(1)=58} ogf] A211715 9.16356 [-(-44*x^2+68*x-29)/(-44*x^3+100*x^2-73*x+17) lgdogf] A211719 10.1487 [-(3036*x-265)/(12*x-1)/(11*x-1) ogf] A211719 5.12269 [-(397*f(x)+9252276)*(132*f(x)*x^2-23*f(x)*x+f(x)+3036*x-265) ogf] A211719 5.91079 [-(-400752*x^2+69960*x-3059)/(-400752*x^3+104808*x^2-9131*x+265) lgdogf] A211719 5.97647 [{a(n+2)-23*a(n+1)+132*a(n),a(0)=265,a(1)=3059} ogf] A211720 5.21365 [-2*(58*x^6-10*x^5-149*x^4+21*x^3+97*x^2-7*x-18)/(x-1)/(2*x^2-1)/(2*x^4-4*x^2+1) ogf] A211721 4.34148 [-2*(140*x^7-102*x^6-348*x^5+251*x^4+209*x^3-147*x^2-35*x+24)/(x-1)/(2*x-1)/(2*x^2-1)/(2*x^4-4*x^2+1) ogf] A211722 3.46832 [-2*(124*x^9+14*x^8-534*x^7+65*x^6+744*x^5-225*x^4-363*x^3+142*x^2+55*x-24)/(x-1)/(2*x-1)/(2*x^2-1)/(x^2+x-1)/(2*x^4-4*x^2+1) ogf] A211723 3.50335 [-2*(100*x^9-22*x^8-466*x^7+163*x^6+680*x^5-295*x^4-329*x^3+155*x^2+49*x-24)/(x-1)/(2*x-1)/(2*x^2-1)/(x^2+x-1)/(2*x^4-4*x^2+1) ogf] A211724 5.28885 [-2*(42*x^6-26*x^5-117*x^4+53*x^3+89*x^2-15*x-18)/(x-1)/(2*x^2-1)/(2*x^4-4*x^2+1) ogf] A211766 3.42415 [-2*(84*x^7+1062*x^6+4393*x^5+6724*x^4+1838*x^3-2116*x^2+411*x-24)/(3*x^2+6*x-1)/(4*x^2+6*x-1)/(x^2+6*x-1)/(2*x^2+6*x-1) ogf] A211773 10.8419 [-(1369*x^2-2624*x+1259)/(x-1)^3 ogf] A211773 5.83794 [(5497*f(x)-38601515)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1369*x^2-f(x)-2624*x+1259) ogf] A211773 6.27217 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1259,a(1)=1153,a(2)=1051} ogf] A211773 8.92861 [-(-1369*x^2+2510*x-1153)/(-1369*x^3+3993*x^2-3883*x+1259) lgdogf] A211774 16.4613 [-(x^2+2)/(2*x-2) lgdegf] A211774 45.0727 [-(x^2+2)/(2*x-2) lgdegf] A211774 5.88860 [{-2*a(n+3)*n+2*a(n+2)*n+a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=1/2} egf] A211775 11.6047 [-(5633*x^2-11048*x+5419)/(x-1)^3 ogf] A211775 6.14874 [(21409*f(x)-1511521171)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5633*x^2-f(x)-11048*x+5419) ogf] A211775 6.80936 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5419,a(1)=5209,a(2)=5003} ogf] A211775 9.36286 [-(-5633*x^2+10830*x-5209)/(-5633*x^3+16681*x^2-16467*x+5419) lgdogf] A211784 8.27481 [-(x^4+6*x^3+8*x^2+6*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A211786 8.55904 [(2*x^3+6*x^2+9*x+1)/(x+1)/(x-1)^4 ogf] A211789 10.0976 [-(-4*x^3+4*x^2-x)/(x^2-2*x+1) revogf] A211789 6.37747 [4*x^2*f(x)^3-f(x)^2*x^2-4*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A211813 13.4757 [-2*(13*x^2+10*x-16)/(x-1)/(x^2+x-1) ogf] A211813 7.11925 [-(-13*x^4-20*x^3+22*x^2+26*x-22)/(-13*x^5-10*x^4+42*x^3+7*x^2-42*x+16) lgdogf] A211813 7.47169 [(314*f(x)-3299)*(f(x)*x^3-2*f(x)*x+26*x^2+f(x)+20*x-32) ogf] A211813 7.77980 [{-a(n+3)+2*a(n+2)-a(n),a(0)=32,a(1)=44,a(2)=62} ogf] A211837 7.65086 [-(12*x^4-56*x^3+102*x^2-88*x+33)/(x-1)^5 ogf] A211838 4.88726 [-(41*x^6-275*x^5+781*x^4-1210*x^3+1093*x^2-561*x+146)/(x-1)^7 ogf] A211839 3.46905 [-(159*x^8-1390*x^7+5367*x^6-11983*x^5+16980*x^4-15720*x^3+9383*x^2-3355*x+664)/(x-1)^9 ogf] A211850 3.87054 [{(661*n^2+4910*n+7176)*a(n+1)+(-538*n^2-1142*n+1737)*a(n+2)+(-123*n^2-1416*n-3141)*a(n+3),a(0)=63,a(1)=147,a(2)=286} ogf] A211850 4.91074 [(517715968*f(x)+18200066999)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+20*x^3-4*f(x)*x-76*x^2+f(x)+105*x-63) ogf] A211850 8.44859 [-(-20*x^3+92*x^2-163*x+147)/(-20*x^4+96*x^3-181*x^2+168*x-63) lgdogf] A211850 9.58194 [-(20*x^3-76*x^2+105*x-63)/(x-1)^4 ogf] A211851 7.09811 [-(50*x^4-241*x^3+457*x^2-419*x+196)/(x-1)^5 ogf] A211852 5.53617 [-(126*x^5-735*x^4+1768*x^3-2228*x^2+1515*x-588)/(x-1)^6 ogf] A211853 4.42059 [-(323*x^6-2210*x^5+6435*x^4-10295*x^3+9696*x^2-5181*x+1731)/(x-1)^7 ogf] A211866 10.6779 [-(-81*x^2-18*x+19)/(-81*x^3+81*x^2+x-1) lgdogf] A211866 16.0168 [(9*x+1)/(9*x-1)/(x-1) ogf] A211866 8.18638 [(172*f(x)+189)*(9*f(x)*x^2-10*f(x)*x+f(x)-9*x-1) ogf] A211866 8.77112 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=1,a(1)=19} ogf] A211894 10.1072 [4*x^2*f(x)^3-5*f(x)^3*x+f(x)^3-4*x^2-4*x-1 ogf] A211894 13.5365 [-(6*x-3)/(8*x^3-6*x^2-3*x+1) lgdogf] A211894 26.6021 [-(6*x-3)/(8*x^3-6*x^2-3*x+1) lgdogf] A211894 4.73777 [{(n+3)*a(n+3)+(-9-3*n)*a(n+2)-6*n*a(n+1)+8*n*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A211895 15.0770 [-(-24*x^2-12*x+3)/(-64*x^4-40*x^3+30*x^2+5*x-1) lgdogf] A211895 9.36575 [-(-24*x^2-12*x+3)/(-64*x^4-40*x^3+30*x^2+5*x-1) lgdogf] A211896 10.5896 [-(-192*x^3+120*x^2+30*x-3)/(-1024*x^5+704*x^4+440*x^3-110*x^2-11*x+1) lgdogf] A211896 7.21226 [-(-192*x^3+120*x^2+30*x-3)/(-1024*x^5+704*x^4+440*x^3-110*x^2-11*x+1) lgdogf] A211899 7.88220 [-x*(x^4-4*x^3+3*x^2+2*x+1)/(x-1)^5 ogf] A211899 8.04472 [-(-x^4+4*x^3+3*x^2-14*x-7)/(-x^5+5*x^4-7*x^3+x^2+x+1) lgdogf] A211905 8.61541 [-x*(x^4-4*x^3+4*x^2+2)/(x-1)^5 ogf] A211905 8.80901 [-(-x^4+4*x^3-8*x-10)/(-x^5+5*x^4-8*x^3+4*x^2-2*x+2) lgdogf] A211911 7.88220 [-x*(x^4-5*x^3+5*x^2+x+1)/(x-1)^5 ogf] A211911 9.07370 [-(x^4-6*x^3+14*x+6)/(x^5-6*x^4+10*x^3-4*x^2-1) lgdogf] A211924 7.88220 [-x*(x-2)*(x^3-3*x^2-1)/(x-1)^5 ogf] A211924 8.04472 [-(x^4-6*x^3+3*x^2+8*x+9)/(x^5-6*x^4+11*x^3-7*x^2+3*x-2) lgdogf] A211958 7.91921 [-(-x^4+6*x^3-6*x^2-2*x-12)/(-x^5+6*x^4-12*x^3+10*x^2-6*x+3) lgdogf] A211958 7.91921 [-x*(x^4-5*x^3+7*x^2-3*x+3)/(x-1)^5 ogf] A211971 16.4265 [-(x^2+x+1)/(x^2-1) ogf_with_Euler_transform] A212031 7.76240 [-(x^4-10*x^3+12*x^2+2*x+10)/(x^5-8*x^4+18*x^3-16*x^2+8*x-3) lgdogf] A212031 7.84002 [-x*(x^4-7*x^3+11*x^2-5*x+3)/(x-1)^5 ogf] A212039 7.80338 [-(x^4-10*x^3+6*x^2+14*x+4)/(x^5-8*x^4+16*x^3-10*x^2+2*x-1) lgdogf] A212039 7.88220 [-x*(x^4-7*x^3+9*x^2-x+1)/(x-1)^5 ogf] A212068 9.43821 [x^2*(x^2+x+3)/(x+1)/(x-1)^4 ogf] A212068 9.78351 [-(-3*x^3-7*x^2-20*x-10)/(-x^4-x^3-2*x^2+x+3) lgdogf] A212069 6.97698 [x*(x^4-x^3+6*x^2-x+1)/(x^2+x+1)/(x-1)^4 ogf] A212088 5.96575 [-x^2*(x^4+5*x^3+15*x^2+8*x+7)/(x^2+x+1)/(x-1)^5 ogf] A212089 6.20627 [-x*(7*x^4+8*x^3+15*x^2+5*x+1)/(x^2+x+1)/(x-1)^5 ogf] A212090 7.62148 [-x*(x^3+10*x^2+11*x+1)/(x-1)^5 ogf] A212090 8.43807 [-(2*x^3+33*x^2+64*x+16)/(x^4+9*x^3+x^2-10*x-1) lgdogf] A212126 7.65659 [-x^2*(x^10+x^8+x^5+x^3+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A212133 10.9881 [x*(7*x^2+4*x+1)/(x-1)^4 ogf] A212133 12.1535 [-(-14*x^2-26*x-8)/(-7*x^3+3*x^2+3*x+1) lgdogf] A212133 4.05117 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-23+3*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=33} ogf] A212133 5.81255 [(808*f(x)+1975)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-4*x^2+f(x)-x) ogf] A212134 10.6256 [-(-6*x^3+12*x^2+42*x+12)/(-3*x^4+10*x^3-6*x-1) lgdogf] A212134 4.25024 [{(55*n^2+413*n+606)*a(n+1)+(-12*n^2+176*n+1004)*a(n+2)+(-43*n^2-197*n-222)*a(n+3),a(0)=0,a(1)=1,a(2)=12} ogf] A212134 8.87412 [x*(3*x^3-7*x^2-7*x-1)/(x-1)^5 ogf] A212135 15.1100 [-(-3*x^2-6*x-6)/(-x^3+1) lgdogf] A212135 31.1984 [[-x^2+6] ogf_with_Euler_transform] A212135 4.38949 [{(-7*n^2-3*n+22)*a(n+1)+(-9*n^2-119*n-84)*a(n+2)+(16*n^2+30*n+14)*a(n+3),a(0)=0,a(1)=0,a(2)=4} ogf] A212135 9.03125 [-4*x^2*(x^2+x+1)/(x-1)^5 ogf] A212145 7.08798 [-x*(x^4+11*x^3+22*x^2+12*x+1)/(x+1)/(x-1)^5 ogf] A212156 4.2948 [(49904*f(x)-105813)*(343*f(x)*x^3-399*f(x)*x^2+57*f(x)*x+889*x^2-f(x)-26*x+1) ogf] A212156 4.54326 [{a(n+3)-57*a(n+2)+399*a(n+1)-343*a(n),a(0)=1,a(1)=31,a(2)=2257} ogf] A212156 7.96716 [-(889*x^2-26*x+1)/(x-1)/(7*x-1)/(49*x-1) ogf] A212160 13.2748 [(3*x^2+8*x+2)/(x+1)/(x-1)^2 ogf] A212160 6.98072 [(767*f(x)-2959)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-8*x-2) ogf] A212160 7.10318 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=10,a(2)=15} ogf] A212160 9.75618 [-(-3*x^3-19*x^2-20*x-10)/(-3*x^4-8*x^3+x^2+8*x+2) lgdogf] A212161 4.76251 [-(30413*f(x)+886415)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-4*x-6) ogf] A212161 5.18028 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=6,a(1)=10,a(2)=23} ogf] A212161 9.68118 [(7*x^2+4*x+6)/(x+1)/(x-1)^2 ogf] A212199 10.851 [-4*f(x)^2*x+4*f(x)*x^2-x^3-2*f(x)^2+3*f(x)*x-x^2+f(x)-x ogf] A212205 10.4771 [-6*f(x)^2*x^3+2*f(x)*x^3+f(x)^2*x-5*f(x)*x^2+x^2+f(x)-2*x-1 ogf] A212242 3.88275 [(x^8-3*x^7+53*x^6-51*x^5+120*x^4-51*x^3+53*x^2-3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A212246 14.1878 [-(4*x+21)/(x^2+3*x-4) lgdogf] A212246 4.66579 [{(4+4*n)*a(n+3)+(-21-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=4} ogf] A212246 8.80004 [-x^2*(x+4)/(x-1)^5 ogf] A212247 9.16185 [-(9*x^3+13*x^2+14*x+4)/(3*x^4+x^3-2*x^2-x-1) lgdogf] A212247 9.27496 [x*(3*x^2+x+1)/(x+1)/(x-1)^4 ogf] A212249 5.63080 [-x*(x^5+11*x^4+17*x^3+21*x^2+8*x+1)/(x^2+x+1)/(x-1)^5 ogf] A212250 6.59241 [-x^2*(x^3+6*x^2+2*x+4)/(x^2+x+1)/(x-1)^5 ogf] A212251 8.85116 [x^2*(x^3+3*x+1)/(x^2+x+1)/(x-1)^4 ogf] A212251 9.04569 [-(-3*x^5-3*x^4-18*x^3-18*x^2-12*x-6)/(-x^6-3*x^4+3*x+1) lgdogf] A212252 8.67288 [x^3*(2*x+3)/(x^2+x+1)/(x-1)^4 ogf] A212252 9.69993 [-(10*x^3+24*x^2+15*x+11)/(2*x^4+3*x^3-2*x-3) lgdogf] A212254 8.73293 [x^3*(3*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A212257 5.44413 [-(x^6-2*x^5+19*x^4-12*x^3+19*x^2-2*x+1)/(x+1)/(x^2+1)/(x-1)^5 ogf] A212262 13.2119 [-(2*x-1)*(2*x+1)/(3*x-1)/(x^2+x-1) ogf] A212262 6.60595 [-(55*f(x)+137)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-1) ogf] A212262 6.66440 [{a(n+3)-4*a(n+2)+2*a(n+1)+3*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A212262 8.18562 [-(-12*x^4-7*x^2+12*x-4)/(-12*x^5-8*x^4+19*x^3-2*x^2-4*x+1) lgdogf] A212272 8.42241 [x*(9*x^3-2*x^2+x-2)/(x^2+x-1)/(x-1)^4 ogf] A212291 15.0895 [-(-x^2-1)/(-x^2+1) lgdegf] A212291 3.23347 [{(-2*n^2-10*n-12)*a(n+1)+(-3*n^2-16*n-21)*a(n+2)+(-n^2-5*n-7)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A212291 39.5420 [-(-x^2-1)/(-x^2+1) lgdegf] A212294 12.0471 [-x*(x^5-x^4+x^3+x-3)/(x-1)^2 ogf] A212307 6.35610 [-9*(x^2+x+1)*(x^6+3*x^3+9)/(x^9-81) egf] A212323 12.2909 [(2*x^2-2*x+1)/(3*x-1)/(x^2+x-1) ogf] A212323 6.57672 [(55*f(x)+113)*(3*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A212323 6.69415 [{-a(n+3)+4*a(n+2)-2*a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A212323 7.89205 [-(-6*x^4+12*x^3-13*x^2+2)/(-6*x^5+2*x^4+9*x^3-12*x^2+6*x-1) lgdogf] A212325 10.0254 [-(169*x^2-338*x+163)/(169*x^3-507*x^2+505*x-167) lgdogf] A212325 11.6714 [(169*x^2-338*x+167)/(x-1)^3 ogf] A212325 6.30631 [(380*f(x)-211841)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-169*x^2-f(x)+338*x-167) ogf] A212325 6.62697 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-167,a(1)=-163,a(2)=-157} ogf] A212329 12.7070 [-x*(x+5)/(x-1)/(x^2-6*x+1) ogf] A212329 6.24396 [(236312*f(x)-97271)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)+5*x) ogf] A212329 6.46695 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=36} ogf] A212329 8.62260 [-(-2*x^3-8*x^2+70*x-36)/(-x^4+2*x^3+28*x^2-34*x+5) lgdogf] A212330 4.80663 [x^5*(x^9-2*x^8+5*x^7+2*x^6-2*x^5-6*x^4+11*x^3+8*x^2-14*x+4)*(x-1)^2/(2*x-1)^4 ogf] A212331 13.8997 [5*x*(2*x-3)/(x-1)^3 ogf] A212331 17.0850 [-(-4*x+7)/(-2*x^2+5*x-3) lgdogf] A212331 7.13114 [-(3*f(x)-130)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-10*x^2-f(x)+15*x) ogf] A212331 7.25736 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=15,a(2)=35} ogf] A212335 15.1105 [-1/(x-1)/(x^2-21*x+1) ogf] A212335 5.03682 [{a(n+3)-22*a(n+2)+22*a(n+1)-a(n),a(0)=1,a(1)=22,a(2)=462} ogf] A212335 5.55951 [(48295*f(x)-16)*(f(x)*x^3-22*f(x)*x^2+22*f(x)*x-f(x)+1) ogf] A212335 8.66629 [-(3*x^2-44*x+22)/(x^3-22*x^2+22*x-1) lgdogf] A212336 15.4737 [-1/(x-1)/(x^2-22*x+1) ogf] A212336 5.15790 [{a(n+3)-23*a(n+2)+23*a(n+1)-a(n),a(0)=1,a(1)=23,a(2)=506} ogf] A212336 5.63995 [(232827*f(x)-67)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x-f(x)+1) ogf] A212336 8.87462 [-(3*x^2-46*x+23)/(x^3-23*x^2+23*x-1) lgdogf] A212337 14.8212 [1/(x-1)^2/(3*x-1)^2 ogf] A212337 15.4261 [-(12*x-8)/(3*x^2-4*x+1) lgdogf] A212337 4.94039 [{(-n-3)*a(n+3)+(16+4*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=1,a(1)=8,a(2)=42} ogf] A212337 6.09579 [(2153*f(x)+585)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A212338 5.25480 [-(x+2)/(x^2+x-1)^3 ogf] A212339 7.44691 [-(4*x^2+4*x+5)/(2*x-1)^3/(x^2+x+1)^3 ogf] A212339 7.44691 [-(-56*x^4-80*x^3-114*x^2-46*x-19)/(-8*x^5-12*x^4-18*x^3-5*x^2-x+5) lgdogf] A212340 10.5791 [-(-20*x^3-6*x^2-2*x-1)/(-5*x^4-2*x^3-x^2-x+1) lgdogf] A212340 17.4879 [-1/(5*x^4+2*x^3+x^2+x-1) ogf] A212340 7.08186 [(413*f(x)-250)*(5*f(x)*x^4+2*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A212341 4.69424 [-(25*x^3+20*x^2+14*x+14)/(5*x^4+2*x^3+x^2+x-1)^3 ogf] A212342 3.42306 [-(29*f(x)-294)*(f(x)*x^3-x^4-3*f(x)*x^2+x^3+3*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A212342 5.95703 [(x^4-x^3-2*x^2+2*x-1)/(x-1)^3 ogf] A212343 13.8752 [-x^2*(2*x-5)/(x-1)^4 ogf] A212343 19.5385 [-(-6*x+18)/(-2*x^2+7*x-5) lgdogf] A212343 6.42542 [{(-5-5*n)*a(n+3)+(18+7*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=5} ogf] A212343 7.1984 [(114*f(x)-125)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-5*x^2+f(x)) ogf] A212344 12.3594 [2/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A212344 17.6563 [-25+5*f(x)-f(x)^2*x ogf] A212344 7.13042 [{(-4*n-6)*a(n+1)+(n+3)*a(n+2),a(0)=5,a(1)=5} ogf] A212346 5.42850 [(2*x^6-5*x^5+3*x^4-x^3+4*x^2-3*x+1)/(x-1)^4 ogf] A212347 13.2821 [-2*(2*x^2-7*x+7)/(x-1)^5 ogf] A212347 16.0575 [-(-6*x^2+24*x-28)/(-2*x^3+9*x^2-14*x+7) lgdogf] A212347 5.22257 [{(7*n+28)*a(n+4)+(-70-14*n)*a(n+3)+(42+9*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=14,a(1)=56,a(2)=144,a(3)=300} ogf] A212350 2.99573 [-(66*f(x)-167)*(-8*x^4-4*x^3+2*f(x)*x-4*x^2-f(x)-4*x+6) ogf] A212350 4.81282 [2*(4*x^4+2*x^3+2*x^2+2*x-3)/(2*x-1) ogf] A212351 4.73519 [2*(16*x^6+4*x^4+2*x^2+2*x-3)/(2*x-1) ogf] A212369 4.52692 [-(x^20-x^13+3*x^11-2*x^10+x^4-4*x^3+6*x^2-4*x+1)/(x-1)/(x^22+x^21+x^20-2*x^13+2*x^12+2*x^11-2*x^10+x^4-4*x^3+6*x^2-4*x+1) ogf] A212383 14.5961 [-(x^4-x)/(-x^3+x+1) revogf] A212384 15.6652 [-(x^5-x)/(-x^4+x+1) revogf] A212385 14.7836 [-(x^6-x)/(-x^5+x+1) revogf] A212386 15.3153 [-(x^7-x)/(-x^6+x+1) revogf] A212387 15.7813 [-(x^8-x)/(-x^7+x+1) revogf] A212388 15.2989 [-(x^9-x)/(-x^8+x+1) revogf] A212389 15.5338 [-(x^10-x)/(-x^9+x+1) revogf] A212390 14.7780 [-(x^11-x)/(-x^10+x+1) revogf] A212393 6.41833 [(5*x^8-18*x^7-21*x^6+6*x^5-4*x^4+5*x^3-7*x^2+4*x-1)/(x-1)^5 ogf] A212395 3.28448 [{(n^4+13*n^3+54*n^2+92*n+56)*a(n+1)+(-2*n^3-21*n^2-59*n-46)*a(n+2)+(n^2+7*n+6)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A212403 5.3122 [16*f(x)^2*x^3-8*f(x)^2*x^2+f(x)^2*x+48*f(x)*x^2-16*f(x)*x+f(x)+36*x-5 ogf] A212403 7.65208 [-1/8*(-8*x^2+(16*x+25)^(1/2)-16*x-5)/(4*x^2+12*x+9) revogf] A212404 5.10429 [-16*f(x)^2*x^3+8*f(x)^2*x^2-f(x)^2*x-80*f(x)*x^2+24*f(x)*x-4*x^2-f(x)-95*x+8 ogf] A212405 3.8782 [-16*f(x)^2*x^3+8*f(x)^2*x^2+32*f(x)*x^3-f(x)^2*x-160*f(x)*x^2-16*x^3+42*f(x)*x+52*x^2-f(x)-320*x+13 ogf] A212406 3.69853 [16*f(x)^2*x^3-8*f(x)^2*x^2-144*f(x)*x^3+4*x^4+f(x)^2*x+344*f(x)*x^2+455*x^3-81*f(x)*x-334*x^2+f(x)+1163*x-21 ogf] A212415 14.1878 [-(8*x+17)/(2*x^2+x-3) lgdogf] A212415 4.66579 [{(3+3*n)*a(n+3)+(-17-n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A212415 8.80004 [-x^2*(2*x+3)/(x-1)^5 ogf] A212427 14.1231 [x*(16*x-17)/(x-1)^3 ogf] A212427 15.7219 [-(-32*x+35)/(-16*x^2+33*x-17) lgdogf] A212427 7.00219 [-(67*f(x)-107757)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-16*x^2-f(x)+17*x) ogf] A212427 7.37398 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=17,a(2)=35} ogf] A212428 13.8522 [x*(17*x-18)/(x-1)^3 ogf] A212428 15.4204 [-(-34*x+37)/(-17*x^2+35*x-18) lgdogf] A212428 6.69903 [-(1047*f(x)-2000719)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-17*x^2-f(x)+18*x) ogf] A212428 7.23258 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=18,a(2)=37} ogf] A212442 7.56185 [1/(x^2+14*x-1)/(x^2-2*x-1)^3 ogf] A212442 7.73771 [-(-8*x^3-88*x^2+120*x+8)/(-x^4-12*x^3+30*x^2+12*x-1) lgdogf] A212446 7.90050 [-(x^2+1)*(x^26-x^25-x^24+x^23+x^22-x^21-x^20+x^19+x^18-x^17-x^16+x^15+x^14-x^13-x^12+x^11+x^10-2*x^8+2*x^6-2*x^4+3*x^2-x-2)/(x-1)^2 ogf] A212500 10.6366 [-(4*x^3+3*x^2-4*x-1)/(5*x^4-10*x^2+1) ogf] A212500 6.26798 [-(6820*f(x)-2671)*(5*f(x)*x^4-10*f(x)*x^2+4*x^3+3*x^2+f(x)-4*x-1) ogf] A212501 13.9041 [-(12*x+13)/(3*x^2-x-2) lgdogf] A212501 4.66579 [{(2+2*n)*a(n+3)+(-13+n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A212501 8.80004 [-x^2*(3*x+2)/(x-1)^5 ogf] A212503 5.38689 [-x*(x^2+x+1)*(x^4+6*x^3+22*x^2+6*x+1)/(x+1)^3/(x-1)^5 ogf] A212504 5.91705 [-x^3*(x^4+4*x^3+14*x^2+10*x+7)/(x+1)^3/(x-1)^5 ogf] A212505 6.08960 [-x^2*(x^2+2*x+3)*(3*x^2+2*x+1)/(x+1)^3/(x-1)^5 ogf] A212506 5.71700 [-x*(4*x^5+17*x^4+42*x^3+30*x^2+14*x+1)/(x+1)^3/(x-1)^5 ogf] A212507 6.21413 [-x*(2*x+1)*(3*x^3+7*x^2+7*x+1)/(x+1)^2/(x-1)^5 ogf] A212523 10.6122 [-(3*x^2+26*x+31)/(x^3+5*x^2-x-5) lgdogf] A212523 8.05062 [-x^2*(x+5)*(x+1)/(x-1)^5 ogf] A212560 10.6660 [-(15*x^2+34*x+11)/(5*x^3+x^2-5*x-1) lgdogf] A212560 3.59108 [{(n+3)*a(n+4)+(-1+5*n)*a(n+3)+(-35-n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=0,a(1)=1,a(2)=11,a(3)=50} ogf] A212560 8.60994 [-x*(x+1)*(5*x+1)/(x-1)^5 ogf] A212561 7.53091 [x^2*(x^3+x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A212561 8.45136 [-(-3*x^4-6*x^3-20*x^2-14*x-5)/(-x^5-x^4-2*x^3+3*x+1) lgdogf] A212562 6.44188 [-x*(x^5+10*x^4+29*x^3+29*x^2+12*x+1)/(x+1)^2/(x-1)^5 ogf] A212563 6.88235 [-x*(10*x^4+27*x^3+31*x^2+13*x+1)/(x+1)^2/(x-1)^5 ogf] A212564 7.20854 [-x^3*(x^3+3*x^2+7*x+3)/(x+1)^2/(x-1)^5 ogf] A212564 8.54055 [-(4*x^4+18*x^3+54*x^2+48*x+16)/(x^5+3*x^4+6*x^3-7*x-3) lgdogf] A212565 7.27623 [-x^2*(3*x^3+5*x^2+5*x+1)/(x+1)^2/(x-1)^5 ogf] A212565 7.93109 [-(-12*x^4-34*x^3-54*x^2-32*x-8)/(-3*x^5-5*x^4-2*x^3+4*x^2+5*x+1) lgdogf] A212566 6.50712 [x^3*(x^4-x^3+4*x^2+x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A212567 4.82727 [x^2*(x^7+x^6+5*x^5+12*x^4+13*x^3+7*x^2+5*x+2)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A212568 8.09148 [-2*x^2*(6*x^2+8*x+1)/(x+1)/(x-1)^5 ogf] A212568 8.38046 [-(-24*x^3-64*x^2-50*x-12)/(-6*x^4-8*x^3+5*x^2+8*x+1) lgdogf] A212569 5.48545 [-x*(15*x^6+36*x^5+79*x^4+36*x^3+25*x^2+1)/(x+1)^3/(x-1)^5 ogf] A212570 6.96015 [x*(x^4+4*x^3+10*x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A212571 7.06063 [-4*x^2*(3*x^3+8*x^2+6*x+2)/(x+1)^2/(x-1)^5 ogf] A212571 7.82961 [-(12*x^4+49*x^3+69*x^2+48*x+12)/(3*x^5+8*x^4+3*x^3-6*x^2-6*x-2) lgdogf] A212572 6.46471 [x*(x^5-9*x^4-26*x^3-30*x^2-11*x-1)/(x+1)^2/(x-1)^5 ogf] A212573 6.14165 [-2*x^2*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^2/(x-1)^5 ogf] A212574 5.78650 [-x*(x^5+x^4+2*x^3+10*x^2+5*x+1)/(x+1)^2/(x-1)^5 ogf] A212575 4.60209 [x*(x^8+4*x^7+15*x^6+32*x^5+44*x^4+32*x^3+15*x^2+4*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A212577 5.19078 [x*(x^6+2*x^5+10*x^4+14*x^3+10*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A212578 7.15497 [x*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A212579 5.19654 [x*(7*x^6+25*x^5+39*x^4+34*x^3+21*x^2+7*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A212584 10.1511 [-(x^5-x^3-1)/(x-1)/(x+1)/(x^4+x-1) ogf] A212585 7.69494 [(x^8-2*x^7+3*x^5-2*x^3-x-1)/(x^4+x-1)/(x-1)^2/(x+1)^2 ogf] A212586 8.99664 [-(x^5-x^3-x^2-1)/(x-1)/(x+1)/(x^4+2*x-1) ogf] A212587 5.99338 [(3*x^4-2*x^3-2*x^2-2*x-1)*(x^4+1)/(x^4+2*x-1)/(x-1)^2/(x+1)^2 ogf] A212588 3.10578 [-(x^4-x^3-1)/(x-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A212589 6.90050 [(x^3-x^2+1)*(x^4-2*x^2-1)/(x+1)/(x^3-x^2+2*x-1)/(x-1)^2 ogf] A212592 7.38128 [-(6*x^5+5*x^4-20*x^3-10*x^2+6*x+1)/(7*x^6-35*x^4+21*x^2-1) ogf] A212593 5.28798 [-(8*x^7+7*x^6-56*x^5-35*x^4+56*x^3+21*x^2-8*x-1)/(3*x^2-1)/(3*x^6-27*x^4+33*x^2-1) ogf] A212594 4.46049 [-(10*x^9+9*x^8-120*x^7-84*x^6+252*x^5+126*x^4-120*x^3-36*x^2+10*x+1)/(11*x^10-165*x^8+462*x^6-330*x^4+55*x^2-1) ogf] A212596 12.3328 [-12*(12*x-1)/(20*x-1)/(8*x-1) ogf] A212596 6.4181 [-(41*f(x)+276)*(160*f(x)*x^2-28*f(x)*x+f(x)+144*x-12) ogf] A212596 7.14742 [{a(n+2)-28*a(n+1)+160*a(n),a(0)=12,a(1)=192} ogf] A212596 8.27596 [-(-1920*x^2+320*x-16)/(-1920*x^3+496*x^2-40*x+1) lgdogf] A212598 13.5549 [x^2*(18*x^22-18*x^21+4*x^4-4*x^3+1)/(x-1)^2 ogf] A212656 14.6385 [-(-6*x^2-18*x-6)/(-6*x^3+3*x^2+2*x+1) lgdogf] A212656 15.5984 [-(6*x^2+3*x+1)/(x-1)^3 ogf] A212656 8.27393 [(148*f(x)-445)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+3*x+1) ogf] A212656 8.42038 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=21} ogf] A212668 10.4464 [-(x^3+5*x^2-29*x-9)/(x-1)^4 ogf] A212668 4.13614 [{(-37*n^2-32*n+84)*a(n+1)+(954*n^2+7878*n+16425)*a(n+2)+(-917*n^2-5206*n-7365)*a(n+3),a(0)=9,a(1)=65,a(2)=201} ogf] A212668 5.58095 [(5524*f(x)+193729)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x+5*x^2+f(x)-29*x-9) ogf] A212668 9.58612 [-(-x^3-13*x^2+77*x+65)/(-x^4-4*x^3+34*x^2-20*x-9) lgdogf] A212669 7.20805 [2*(x^4+4*x^3+126*x^2+116*x+9)/(x-1)^6 ogf] A212669 7.27479 [-(2*x^4+16*x^3+516*x^2+832*x+170)/(x^5+3*x^4+122*x^3-10*x^2-107*x-9) lgdogf] A212670 6.62046 [(x^5+7*x^4-22*x^3+558*x^2+453*x+27)/(x-1)^6 ogf] A212673 8.22692 [-2*x^2*(4*x^2+7*x+4)/(x+1)/(x-1)^5 ogf] A212673 9.30941 [-(-16*x^3-51*x^2-60*x-23)/(-4*x^4-7*x^3+7*x+4) lgdogf] A212674 7.18401 [-x*(x^4+4*x^3+8*x^2+4*x+1)/(x+1)/(x-1)^5 ogf] A212675 7.82177 [-x*(x^4+6*x^2+10*x+1)/(x+1)/(x-1)^5 ogf] A212676 7.20653 [x^2*(x^3+4*x^2+7*x+1)/(x+1)^2/(x-1)^4 ogf] A212677 7.20653 [x^2*(2*x^3+3*x^2+4*x+1)/(x^2+x+1)/(x-1)^4 ogf] A212678 5.63361 [x^4*(2*x^4+6*x^3+9*x^2+9*x+5)/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A212679 6.81353 [x*(3*x^4+10*x^3+16*x^2+6*x+1)/(x+1)^2/(x-1)^4 ogf] A212680 7.00700 [2*x^2*(x+2)*(3*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A212681 5.77744 [-2*x^2*(x^4+5*x^3+10*x^2+6*x+2)/(x+1)^2/(x-1)^5 ogf] A212682 5.80996 [x*(x^5-3*x^4-14*x^3-22*x^2-9*x-1)/(x+1)^2/(x-1)^5 ogf] A212683 28.6257 [-x^2+x+4 ogf_with_Euler_transform] A212683 8.47568 [2*x^2*(x^2+x+1)/(x+1)/(x-1)^4 ogf] A212683 9.86895 [-(-3*x^3-7*x^2-10*x-4)/(-x^4-x^3+x+1) lgdogf] A212684 7.54082 [-(-2*x^4+6*x^3+18*x^2+20*x+6)/(-x^5+3*x^4+4*x^3-2*x^2-3*x-1) lgdogf] A212684 8.30337 [-x*(x^3-3*x^2-3*x-1)/(x+1)/(x-1)^4 ogf] A212685 8.57466 [x^2*(x^2+x+2)/(x+1)/(x-1)^4 ogf] A212685 8.99810 [-(-3*x^3-7*x^2-15*x-7)/(-x^4-x^3-x^2+x+2) lgdogf] A212686 12.1474 [-(4*x^3+2*x^2+8*x+2)/(x^4-1) lgdogf] A212686 24.9706 [[-x^3+3*x+2] ogf_with_Euler_transform] A212686 8.57466 [4*x^2*(x^2+1)/(x+1)^2/(x-1)^4 ogf] A212687 5.65924 [-x*(x^5+13*x^4+28*x^3+32*x^2+9*x+1)/(x+1)^2/(x-1)^5 ogf] A212688 6.93582 [-2*x^2*(3*x^2+x+2)/(x+1)^2/(x-1)^5 ogf] A212688 8.43998 [-(-15*x^3-15*x^2-23*x-7)/(-3*x^4-x^3+x^2+x+2) lgdogf] A212689 7.09510 [-2*x^3*(2*x^2+x+3)/(x+1)^2/(x-1)^5 ogf] A212689 8.53101 [-(-10*x^3-12*x^2-28*x-10)/(-2*x^4-x^3-x^2+x+3) lgdogf] A212690 5.65924 [-x*(x^5+9*x^4+32*x^3+28*x^2+13*x+1)/(x+1)^2/(x-1)^5 ogf] A212691 3.77099 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-n^2-3*n)*a(n+2)+(n^3+2*n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=2,a(3)=8} ogf] A212691 6.19977 [2*x^2*(x^4+3*x^3+6*x^2+3*x+1)/(x+1)^3/(x-1)^4 ogf] A212692 11.1225 [-(8*x^2+21*x+11)/(2*x^3+3*x^2-2*x-3) lgdogf] A212692 4.34371 [{(5*n^2+29*n+42)*a(n+1)+(33+15*n)*a(n+2)+(-5*n^2-14*n-9)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A212692 9.53360 [2*x^2*(2*x+3)/(x+1)/(x-1)^4 ogf] A212697 23.1029 [2/(3*x-1)^2 ogf] A212697 27.2284 [6/(-3*x+1) lgdogf] A212697 9.18548 [{-a(n+2)+6*a(n+1)-9*a(n),a(0)=2,a(1)=12} ogf] A212697 9.29749 [(5*f(x)+22)*(9*f(x)*x^2-6*f(x)*x+f(x)-2) ogf] A212698 20.5651 [3/(4*x-1)^2 ogf] A212698 24.9719 [8/(-4*x+1) lgdogf] A212698 8.32398 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=3,a(1)=24} ogf] A212698 8.42428 [(5*f(x)+33)*(16*f(x)*x^2-8*f(x)*x+f(x)-3) ogf] A212699 16.8617 [4/(5*x-1)^2 ogf] A212699 20.3503 [10/(-5*x+1) lgdogf] A212699 6.94305 [{-a(n+2)+10*a(n+1)-25*a(n),a(0)=4,a(1)=40} ogf] A212699 7.02571 [(5*f(x)+44)*(25*f(x)*x^2-10*f(x)*x+f(x)-4) ogf] A212700 14.6170 [5/(6*x-1)^2 ogf] A212700 17.6412 [12/(-6*x+1) lgdogf] A212700 6.01876 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=5,a(1)=60} ogf] A212700 6.09043 [(f(x)+11)*(36*f(x)*x^2-12*f(x)*x+f(x)-5) ogf] A212701 19.3439 [6/(7*x-1)^2 ogf] A212701 23.3460 [14/(-7*x+1) lgdogf] A212701 7.96512 [{-a(n+2)+14*a(n+1)-49*a(n),a(0)=6,a(1)=84} ogf] A212701 8.05995 [(5*f(x)+66)*(49*f(x)*x^2-14*f(x)*x+f(x)-6) ogf] A212702 20.6277 [7/(8*x-1)^2 ogf] A212702 24.8956 [16/(-8*x+1) lgdogf] A212702 8.39501 [{-a(n+2)+16*a(n+1)-64*a(n),a(0)=7,a(1)=112} ogf] A212702 8.5949 [(5*f(x)+77)*(64*f(x)*x^2-16*f(x)*x+f(x)-7) ogf] A212703 19.3492 [8/(9*x-1)^2 ogf] A212703 23.3524 [18/(-9*x+1) lgdogf] A212703 7.87466 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=8,a(1)=144} ogf] A212703 8.06215 [(5*f(x)+88)*(81*f(x)*x^2-18*f(x)*x+f(x)-8) ogf] A212704 17.3422 [9/(10*x-1)^2 ogf] A212704 20.8107 [20/(-10*x+1) lgdogf] A212704 7.17609 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=9,a(1)=180} ogf] A212704 7.34494 [(5*f(x)+99)*(100*f(x)*x^2-20*f(x)*x+f(x)-9) ogf] A212705 3.81553 [-2*(x^6-34*x^5-1373*x^4-7308*x^3-7273*x^2-1394*x-27)/(x-1)^8 ogf] A212706 4.60135 [-(x^7+9*x^6-171*x^5-4883*x^4-29917*x^3-29413*x^2-5177*x-81)/(x-1)^8 ogf] A212714 27.8081 [-x^2+x+5 ogf_with_Euler_transform] A212714 8.24139 [-2*x^2*(x^2+x+1)/(x+1)/(x-1)^5 ogf] A212714 9.59614 [-(-4*x^3-9*x^2-12*x-5)/(-x^4-x^3+x+1) lgdogf] A212740 6.58064 [-x*(x^2+1)*(x^4+10*x^2+1)/(x+1)^3/(x-1)^5 ogf] A212741 5.05335 [(x^7-x^6-3*x^5-47*x^4-57*x^3-47*x^2-13*x-1)/(x+1)^3/(x-1)^5 ogf] A212742 6.78313 [-(x^2+1)*(x^4+10*x^2+1)/(x+1)^3/(x-1)^5 ogf] A212743 5.83739 [-2*x*(7*x^4+18*x^3+34*x^2+18*x+7)/(x+1)^3/(x-1)^5 ogf] A212744 6.41171 [(x^2+x+1)*(x^4+6*x^3+16*x^2+6*x+1)/(x+1)^3/(x-1)^4 ogf] A212745 4.64026 [(x+1)*(x^8+6*x^7+13*x^6+40*x^5+18*x^4+40*x^3+13*x^2+6*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A212746 6.12647 [(15*x^6+50*x^5+115*x^4+104*x^3+61*x^2+14*x+1)/(x+1)^3/(x-1)^4 ogf] A212747 8.16527 [(x^4+4*x^2+1)/(x^2+1)/(x-1)^4 ogf] A212748 6.34304 [(3*x^5-3*x^4-6*x^3+10*x^2+3*x+1)/(x+1)^3/(x-1)^4 ogf] A212749 5.67466 [-(12*x^5+37*x^4+60*x^3+40*x^2+12*x+1)/(x+1)^3/(x-1)^5 ogf] A212750 5.69266 [-(6*x^5+37*x^4+50*x^3+42*x^2+12*x+1)/(x+1)^3/(x-1)^5 ogf] A212751 5.78092 [(12*x^5-25*x^4-36*x^3-40*x^2-12*x-1)/(x+1)^3/(x-1)^5 ogf] A212752 5.52226 [-x*(x^5+14*x^4+46*x^3+68*x^2+43*x+14)/(x+1)^3/(x-1)^5 ogf] A212753 7.02869 [-(-3*x^4-52*x^3-156*x^2-180*x-69)/(-x^5-12*x^4-20*x^3+21*x+12) lgdogf] A212753 7.48709 [-x*(x^3+12*x^2+21*x+12)/(x+1)/(x-1)^5 ogf] A212754 7.53094 [-x*(x^3+12*x^2+21*x+8)/(x+1)/(x-1)^5 ogf] A212755 3.64842 [{(25*n^2+218*n+429)*a(n+1)+(-62*n^2-460*n-762)*a(n+2)+(37*n^2+194*n+249)*a(n+3),a(0)=1,a(1)=10,a(2)=37} ogf] A212755 8.00976 [-(x^3-3*x^2+5*x+1)/(x-1)^5 ogf] A212755 8.49816 [-(-2*x^3+6*x^2-14*x-10)/(-x^4+4*x^3-8*x^2+4*x+1) lgdogf] A212756 3.86547 [(3*x^10+15*x^9+46*x^8+87*x^7+125*x^6+133*x^5+108*x^4+61*x^3+25*x^2+6*x+1)/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A212757 3.90800 [(19*x^8+38*x^7+43*x^6+52*x^5+68*x^4+40*x^3+13*x^2+2*x+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A212758 5.24495 [(7*x^7+19*x^6+18*x^5+40*x^4+34*x^3+12*x^2+7*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A212759 4.91168 [-(2*x^6+x^5+21*x^4+4*x^3+18*x^2+x+1)/(x+1)^4/(x-1)^5 ogf] A212760 7.57839 [(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^3/(x-1)^4 ogf] A212760 7.72005 [-(3*x^5+9*x^4+36*x^3+24*x^2+21*x+3)/(x^6+2*x^5+5*x^4-5*x^2-2*x-1) lgdogf] A212761 5.15846 [-2*x*(x^5+2*x^4+9*x^3+6*x^2+5*x+1)/(x+1)^4/(x-1)^5 ogf] A212762 5.10687 [-2*x*(x^5+5*x^4+6*x^3+9*x^2+2*x+1)/(x+1)^4/(x-1)^5 ogf] A212763 4.86369 [-x*(x^6+x^5+18*x^4+4*x^3+21*x^2+x+2)/(x+1)^4/(x-1)^5 ogf] A212764 5.14007 [-x*(x^5+x^4+10*x^3+4*x^2+7*x+1)/(x+1)^4/(x-1)^5 ogf] A212765 5.33606 [-x*(x^5+7*x^4+4*x^3+10*x^2+x+1)/(x+1)^4/(x-1)^5 ogf] A212766 5.97666 [-2*x*(2*x^4+5*x^3+10*x^2+5*x+2)/(x+1)^3/(x-1)^5 ogf] A212767 7.20798 [(x^4+2*x^3+4*x^2+1)/(x+1)^3/(x-1)^4 ogf] A212772 10.1074 [(3*x^5-2*x^4+2*x^3-2*x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A212776 4.89667 [(f(x)-5)*(2*f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2+9*x^3+f(x)*x+17*x^2-f(x)+16*x+11) ogf] A212776 8.56919 [-(9*x^3+17*x^2+16*x+11)/(2*x^4+3*x^3+2*x^2+x-1) ogf] A212777 6.68691 [-(32*x^4+41*x^3-12*x^2-43*x-28)/(4*x^5+4*x^4-3*x^3-5*x^2-2*x+1) ogf] A212778 4.05936 [-(25*x^7+68*x^6-47*x^5-234*x^4-288*x^3-238*x^2-140*x-56)/(2*x^8+5*x^7-5*x^6-18*x^5-19*x^4-14*x^3-7*x^2-2*x+1) ogf] A212783 5.31350 [-(2*x^6+9*x^5+29*x^4+42*x^3+40*x^2+17*x+5)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A212790 7.15035 [-x^3*(20*x^9-21*x^8-4*x^7+2*x^6+2*x^5-2*x^4+2*x^3+x^2-2)/(x-1)^2 ogf] A212804 14.8753 [{-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=0} ogf] A212804 19.1254 [f(x)*x^2+f(x)*x-f(x)-x+1 ogf] A212804 23.1712 [-(-x^2+2*x)/(-x^3+2*x-1) lgdogf] A212804 26.7756 [(x-1)/(x^2+x-1) ogf] A212823 10.5092 [(x^2+x+1)*(x^2+x-1)/(2*x^2+2*x-1) ogf] A212823 6.09912 [-(41*f(x)-124)*(-x^4+2*f(x)*x^2-2*x^3+2*f(x)*x-x^2-f(x)+1) ogf] A212824 6.31028 [(x^2+x+1)*(x^4+2*x^3-2*x^2-3*x+1)/(3*x^2+3*x-1)/(x^2+x-1) ogf] A212825 4.54007 [(x^2+x+1)*(3*x^6+9*x^5-15*x^3-3*x^2+6*x-1)/(2*x^2+2*x-1)/(x^2+x-1)/(4*x^2+4*x-1) ogf] A212826 3.55194 [(x^2+x+1)*(11*x^8+44*x^7+29*x^6-67*x^5-68*x^4+27*x^3+22*x^2-10*x+1)/(2*x^2+2*x-1)/(5*x^2+5*x-1)/(x^2+x-1)/(3*x^2+3*x-1) ogf] A212831 12.1485 [x*(x^4+2*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A212832 10.5201 [-(-10*x^3+23*x^2-16*x)/(5*x^4-13*x^3+10*x^2-4*x+2) lgdogf] A212832 13.9693 [5*x^3-f(x)*x-8*x^2+f(x)+2*x-2 ogf] A212832 16.0779 [(5*x^3-8*x^2+2*x-2)/(x-1) ogf] A212832 8.96978 [{-a(n+4)+a(n+3),a(0)=2,a(1)=0,a(2)=8,a(3)=3} ogf] A212834 12.2380 [-2*(24*x+31)/(6*x^2+7*x-1) ogf] A212834 6.11898 [(2059*f(x)-11496)*(6*f(x)*x^2+7*f(x)*x-f(x)+48*x+62) ogf] A212834 6.76687 [{a(n+2)-7*a(n+1)-6*a(n),a(0)=62,a(1)=482} ogf] A212834 7.46992 [-(-144*x^2-372*x-241)/(-144*x^3-354*x^2-193*x+31) lgdogf] A212836 10.4173 [(x^3-6*x^2+9*x+2)/(x-1)^4 ogf] A212836 4.26665 [{(7*n^2+37*n+46)*a(n+1)+(-32*n^2-224*n-388)*a(n+2)+(25*n^2+133*n+174)*a(n+3),a(0)=2,a(1)=17,a(2)=50} ogf] A212836 5.57036 [(1556*f(x)+16913)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+6*x^2+f(x)-9*x-2) ogf] A212836 9.66423 [-(-x^3+9*x^2-15*x-17)/(-x^4+7*x^3-15*x^2+7*x+2) lgdogf] A212837 7.02730 [-(x^4-2*x^3-30*x^2+110*x+41)/(x^5-4*x^4-4*x^3+38*x^2-29*x-2) lgdogf] A212837 7.46651 [-(x^4-3*x^3-7*x^2+31*x+2)/(x-1)^5 ogf] A212838 6.30395 [-(x^5-12*x^4+50*x^3-70*x^2-87*x-2)/(x-1)^6 ogf] A212839 4.98298 [(x^6-9*x^5+12*x^4+130*x^3-627*x^2-225*x-2)/(x-1)^7 ogf] A212840 3.92430 [(x^7-18*x^6+151*x^5-682*x^4+1543*x^3+3482*x^2+561*x+2)/(x-1)^8 ogf] A212841 3.32734 [-(x^8-23*x^7+179*x^6-563*x^5-551*x^4+23723*x^3+16177*x^2+1375*x+2)/(x-1)^9 ogf] A212850 10.5386 [-(9*x+1)/(x-1)/(6*x-1)/(3*x-1) ogf] A212850 5.00135 [{a(n+3)-10*a(n+2)+27*a(n+1)-18*a(n),a(0)=1,a(1)=19,a(2)=163} ogf] A212850 5.17684 [(28750*f(x)-28889)*(18*f(x)*x^3-27*f(x)*x^2+10*f(x)*x-f(x)+9*x+1) ogf] A212850 6.48526 [-(324*x^3-189*x^2-54*x+19)/(162*x^4-225*x^3+63*x^2+x-1) lgdogf] A212851 4.87449 [(3744*x^3+216*x^2-164*x-1)/(x-1)/(6*x-1)/(24*x-1)/(12*x-1)/(4*x-1) ogf] A212864 10.0693 [x*(x^3-2*x^2-x-2)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A212885 11.5125 [-(-3*x^3-2*x^2-5*x-2)/(x^4-1) ogf_with_Euler_transform] A212885 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(3/4)*2^(1/2)/GAMMA(3/4)^3 A212889 6.52541 [-(x^2+1)*(x^4+46*x^2+1)/(x+1)^3/(x-1)^5 ogf] A212890 6.98219 [-2*x*(7*x^4+34*x^2+7)/(x+1)^3/(x-1)^5 ogf] A212892 7.76080 [-2*x^2*(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^3/(x-1)^5 ogf] A212892 8.47939 [-(4*x^5+12*x^4+44*x^3+32*x^2+24*x+4)/(x^6+2*x^5+5*x^4-5*x^2-2*x-1) lgdogf] A212893 5.44413 [-(x^6+2*x^5+15*x^4+12*x^3+15*x^2+2*x+1)/(x+1)^3/(x-1)^5 ogf] A212894 7.91525 [2*x*(x^4+x^3+8*x^2+7*x+1)/(x-1)^4 ogf] A212894 8.67817 [-(5*x^3+19*x^2+37*x+11)/(x^5+7*x^3-x^2-6*x-1) lgdogf] A212895 6.26309 [2*x^2*(x^6+x^5-x^4+6*x^3+7*x^2+3*x+1)/(x-1)^4 ogf] A212896 7.27311 [(2*x^5+2*x^4+16*x^3+21*x^2+12*x+1)/(x-1)^4 ogf] A212897 7.12619 [-2*x^2*(x^4+7*x^2+3*x+1)/(x-1)^5 ogf] A212898 5.83873 [(2*x^8+2*x^7-2*x^6+14*x^5+16*x^4+22*x^3+23*x^2+12*x+1)/(x-1)^4 ogf] A212899 6.09488 [-2*x^3*(x^6-2*x^4+8*x^3+x^2+3*x+1)/(x-1)^5 ogf] A212900 4.51536 [-2*x*(7*x^6+18*x^5+36*x^4+40*x^3+31*x^2+10*x+2)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A212901 8.10451 [-(7*x^4+9*x^3+8*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A212902 4.99009 [-2*x^2*(2*x^5+4*x^4+7*x^3+7*x^2+5*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A212903 4.76231 [-(x^7-2*x^6-2*x^5+11*x^4+19*x^3+18*x^2+6*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A212904 6.17837 [-(x^6+4*x^5-x^4-8*x^3-11*x^2-4*x-1)/(x+1)^2/(x-1)^4 ogf] A212905 6.47457 [(x^6+4*x^5-3*x^4-8*x^3+3*x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A212907 8.52914 [-(-3*x^4-2*x^3-x^2-2*x-1)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A212925 4.03153 [(161148442520*f(x)-278585367309)*(243*f(x)*x^3-279*f(x)*x^2+37*f(x)*x-f(x)+198*x+10) ogf] A212925 4.32415 [{a(n+3)-37*a(n+2)+279*a(n+1)-243*a(n),a(0)=10,a(1)=568,a(2)=18226} ogf] A212925 8.79007 [-2*(99*x+5)/(x-1)/(27*x-1)/(9*x-1) ogf] A212926 3.33458 [5*(2476032*x^3+72704*x^2-5104*x-7)/(x-1)/(96*x-1)/(16*x-1)/(256*x-1)/(36*x-1) ogf] A212938 4.00053 [(44929005254*f(x)-168005262105)*(4860*f(x)*x^3-936*f(x)*x^2+55*f(x)*x-f(x)+126*x+1) ogf] A212938 4.29325 [{a(n+3)-55*a(n+2)+936*a(n+1)-4860*a(n),a(0)=1,a(1)=181,a(2)=9019} ogf] A212938 8.65689 [-(126*x+1)/(18*x-1)/(27*x-1)/(10*x-1) ogf] A212939 3.17903 [(96512000*x^3-108800*x^2-9680*x-1)/(160*x-1)/(80*x-1)/(35*x-1)/(100*x-1)/(256*x-1) ogf] A212959 12.7497 [-(3*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A212959 6.64726 [(1377*f(x)-6482)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+2*x+1) ogf] A212959 9.48451 [-(6*x^3+12*x^2+14*x+4)/(3*x^4+2*x^3-2*x^2-2*x-1) lgdogf] A212960 28.6642 [-x^2+x+4 ogf_with_Euler_transform] A212960 8.91014 [4*x*(x^2+x+1)/(x+1)/(x-1)^4 ogf] A212960 9.88659 [-(-3*x^3-7*x^2-10*x-4)/(-x^4-x^3+x+1) lgdogf] A212962 5.03088 [(312*f(x)-67)*(f(x)*x^4+3*f(x)*x^3+x^4-2*f(x)*x^2-3*f(x)*x-x^2+f(x)-3*x) ogf] A212962 9.37262 [-x*(x^3-x-3)/(x-1)/(x+1)/(x^2+3*x-1) ogf] A212963 11.7211 [12*x^3/(x+1)/(x-1)^4 ogf] A212963 16.5161 [-(-5*x-3)/(-x^2+1) lgdogf] A212963 34.3677 [[3+x] ogf_with_Euler_transform] A212963 5.04659 [-(f(x)-6)*(f(x)*x^5-3*f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2-12*x^3-3*f(x)*x+f(x)) ogf] A212963 5.34345 [{-n*a(n+3)+3*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=12} ogf] A212964 12.2936 [2*x^3/(x+1)/(x-1)^4 ogf] A212964 17.0435 [-(-5*x-3)/(-x^2+1) lgdogf] A212964 35.4993 [[3+x] ogf_with_Euler_transform] A212964 5.55490 [{-n*a(n+3)+3*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A212964 6.40951 [-f(x)*x^5+3*f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x-f(x) ogf] A212965 8.19246 [-(x^4+3*x^3+6*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A212966 8.10430 [-(5*x^4+5*x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A212967 8.30337 [x*(3*x^2+4*x+3)/(x+1)^2/(x-1)^4 ogf] A212967 9.72368 [-(-12*x^3-26*x^2-32*x-10)/(-3*x^4-4*x^3+4*x+3) lgdogf] A212968 7.30471 [(x^4+3*x^3+6*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A212969 7.28007 [2*x^2*(x^3+2*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A212970 8.21992 [2*x*(2*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A212970 8.92162 [-(8*x^3+14*x^2+14*x+4)/(2*x^4+2*x^3-x^2-2*x-1) lgdogf] A212971 7.91743 [x^2*(x^2+2*x+3)/(x^2+x+1)/(x-1)^4 ogf] A212972 8.01241 [(3*x^3+3*x^2+5*x+1)/(x^2+x+1)/(x-1)^4 ogf] A212973 7.86638 [(x^3+3*x^2+x+1)/(x^2+x+1)/(x-1)^4 ogf] A212974 7.60594 [x*(x^3+4*x^2+3*x+4)/(x^2+x+1)/(x-1)^4 ogf] A212975 7.64957 [-(2*x^5+2*x^4+44*x^3+20*x^2+26*x+2)/(x^6+9*x^4-9*x^2-1) lgdogf] A212975 8.07454 [(x^4+10*x^2+1)/(x+1)^2/(x-1)^4 ogf] A212976 12.0503 [-(4*x^3+2*x^2+8*x+2)/(x^4-1) lgdogf] A212976 24.7606 [[-x^3+3*x+2] ogf_with_Euler_transform] A212976 8.92617 [6*(x^2+1)*x/(x+1)^2/(x-1)^4 ogf] A212977 7.72443 [x*(x^2+3*x+3)/(x+1)^3/(x-1)^4 ogf] A212977 9.13744 [-(-5*x^3-19*x^2-26*x-6)/(-x^4-3*x^3-2*x^2+3*x+3) lgdogf] A212978 9.10447 [-(2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x-1)^3 ogf] A212979 5.10827 [-(x^8-x^7+x^6+5*x^5-3*x^4+5*x^3+x^2-x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A212980 9.03177 [x*(x^2+3*x+1)/(x+1)/(x-1)^4 ogf] A212980 9.88612 [-(-3*x^3-15*x^2-16*x-6)/(-x^4-3*x^3+3*x+1) lgdogf] A212981 8.92162 [-(-3*x^3-11*x^2-18*x-8)/(-x^4-2*x^3-x^2+2*x+2) lgdogf] A212981 9.03177 [x*(x^2+2*x+2)/(x+1)/(x-1)^4 ogf] A212982 11.2489 [x*(2*x+3)/(x+1)/(x-1)^4 ogf] A212982 12.4420 [-(8*x^2+21*x+11)/(2*x^3+3*x^2-2*x-3) lgdogf] A212982 4.14732 [{(-9-3*n)*a(n+4)+(7-2*n)*a(n+3)+(24+3*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=0,a(1)=3,a(2)=11,a(3)=27} ogf] A212983 9.10278 [-(6*x^3+14*x^2+15*x+5)/(2*x^4+2*x^3-x^2-2*x-1) lgdogf] A212983 9.69387 [(2*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A212984 10.5127 [-(2*x^2-x+1)/(x^2+x+1)/(x-1)^3 ogf] A212984 9.19865 [-(-6*x^4-7*x^2-4*x-1)/(-2*x^5+x^4-x^3+2*x^2-x+1) lgdogf] A212985 9.42901 [-(2*x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A212986 9.84517 [-(x^3+x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A212987 8.26254 [-(2*x^4+2*x^3+x^2+x+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A212988 9.56613 [-(x^3+x^2-x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A212989 8.74324 [-(3*x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A213000 3.66585 [-(f(x)*x-f(x)+x)^2 ogf] A213001 2.15553 [-f(x)*(f(x)*x-f(x)+x)^2 ogf] A213002 2.53645 [-(f(x)*x-f(x)+x)^2 ogf] A213002 9.37138 [[1] ogf_with_Euler_transform] A213003 11.1168 [[1] ogf_with_Euler_transform] A213003 3.00453 [-(f(x)*x-f(x)+x)^2 ogf] A213004 3.9742 [-(f(x)*x-f(x)+x)^2 ogf] A213006 6.87832 [(8*x^24-2*x^23-x^22-x^19+982*x^14+2*x^13+x^12+2*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A213012 4.55497 [-(360*x^11+408*x^10-268*x^9-380*x^8-156*x^7-180*x^6+126*x^4+24*x^3+37*x+26)/(x-1)/(x+1)/(2*x^2-1)/(2*x^4-1) ogf] A213022 13.5101 [-(3*x^2-2*x+5)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A213022 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(3/4)*2^(3/8)/GAMMA(3/4)^3 A213023 99.9999 Evaluated at exp(-Pi) 1/24*exp(17/24*Pi)*Pi^(5/4)*2^(5/8)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^4*GAMMA(11/12)*(3^(1/2)-1) A213029 5.98380 [-x^2*(3*x^4+3*x^3+2*x^2+x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A213030 9.28758 [-x^2*(3*x^3+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A213031 4.40516 [x^2*(7*x^8+14*x^7+19*x^6+22*x^5+26*x^4+16*x^3+7*x^2+2*x+1)/(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A213032 7.10577 [-x^3*(x^7+2*x^6+2*x^5+3*x^3+x+1)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A213034 5.89618 [-x^3*(x^6+2*x^5+x^4+7*x^3+x^2+2*x+4)/(x+1)/(x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A213035 7.94412 [-x*(x+1)*(3*x^3+2*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A213036 8.70304 [-x*(5*x^3+2*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A213037 8.02468 [-(2*x^4-8*x^3-4*x^2-12*x-2)/(x^5-3*x^4-2*x^3+2*x^2+x+1) lgdogf] A213037 8.74600 [x*(x^3-3*x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A213038 4.14921 [{(n+2)*a(n+1)+(-2*n-8)*a(n+2)+(-n-1)*a(n+3)+(2*n+3)*a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=6} ogf] A213038 8.69995 [-(4*x^4-7*x^3+3*x^2-11*x-1)/(2*x^5-3*x^4-2*x^3+2*x^2+1) lgdogf] A213038 9.98883 [x*(2*x^3-3*x^2-1)/(x+1)^2/(x-1)^3 ogf] A213039 5.18507 [x*(x+1)*(7*x^6+12*x^5+18*x^4+22*x^3+12*x^2+6*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A213041 11.1087 [-(6*x^3+6*x^2+10*x+2)/(3*x^4-2*x^2-1) lgdogf] A213041 13.4473 [-(3*x^2+1)/(x+1)/(x-1)^3 ogf] A213041 6.90539 [(268*f(x)-683)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+1) ogf] A213042 11.5516 [-(-10*x^3-10*x^2-4*x)/(-x^4-x^3+x+1) lgdogf] A213042 32.2028 [[2*x^2+2*x] ogf_with_Euler_transform] A213042 9.40244 [1/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A213043 10.6783 [-(5*x^3+3*x^2-6*x)/(x^4+x^3-2*x^2-x+1) lgdogf] A213043 15.3123 [1/(x-1)/(x^2+x-1)/(x+1)^2 ogf] A213044 7.56036 [-(-8*x^4-7*x^3+6*x^2+2*x+1)/(-x^5-x^4+x^3+x^2+x-1) lgdogf] A213044 8.96043 [-1/(x^2+x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A213045 9.10835 [-(-3*x^3-7*x^2-15*x-7)/(-x^4-x^3-x^2+x+2) lgdogf] A213045 9.10835 [2*x*(x^2+x+2)/(x+1)/(x-1)^4 ogf] A213046 13.0230 [(x-2)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A213046 8.18971 [-(4*x^4-6*x^3-12*x^2+7*x+3)/(x^5-x^4-4*x^3+3*x^2+3*x-2) lgdogf] A213056 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/3*Pi)*Pi^(1/4)*3^(1/2)*GAMMA(2/3)*GAMMA(11/12)^5*GAMMA(7/12)^6*2^(1/2)*(1+3^(1/2))/GAMMA(3/4)^14 A213071 4.70634 [(3083090688*f(x)+28255651412795)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-399*x^3-4*f(x)*x-10779*x^2+f(x)-11589*x-561) ogf] A213071 7.73832 [-(133*x^3+7585*x^2+18775*x+4611)/(133*x^4+3460*x^3+270*x^2-3676*x-187) lgdogf] A213071 9.04253 [3*(133*x^3+3593*x^2+3863*x+187)/(x-1)^4 ogf] A213082 7.46319 [(5*x^8+6*x^7+6*x^6+6*x^5+6*x^4+7*x^3+6*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A213090 5.47637 [4*f(x)^2*x^3-5*f(x)^2*x^2+6*f(x)^2*x+8*f(x)*x^2-f(x)^2-17*f(x)*x+x^2+3*f(x)+10*x-2 ogf] A213119 5.22582 [16*f(x)^2*x^3-8*f(x)^2*x^2+f(x)^2*x-16*f(x)*x^2+16*f(x)*x-3*f(x)+4*x+3 ogf] A213119 7.64754 [1/8*(8*x^2-16*x-3+3*(16*x+1)^(1/2))/(4*x^2-4*x+1) revogf] A213120 5.03137 [-16*f(x)^2*x^3+8*f(x)^2*x^2-f(x)^2*x+64*f(x)*x^2-48*f(x)*x-4*x^2+8*f(x)-31*x-8 ogf] A213121 4.45474 [-16*f(x)^2*x^3+8*f(x)^2*x^2-f(x)^2*x+192*f(x)*x^2-128*f(x)*x-100*x^2+20*f(x)-151*x-20 ogf] A213122 4.03441 [16*f(x)^2*x^3-8*f(x)^2*x^2+4*x^4+f(x)^2*x-512*f(x)*x^2+135*x^3+320*f(x)*x+930*x^2-48*f(x)+591*x+48 ogf] A213163 11.5101 [-(5*x^2-13*x+7)/(x^3-4*x^2+4*x-1) lgdogf] A213163 13.6028 [-1/(x-1)/(x^2-3*x+1)^2 ogf] A213163 3.72217 [{(-n-4)*a(n+4)+(19+4*n)*a(n+3)+(-21-4*n)*a(n+2)+(6+n)*a(n+1),a(0)=1,a(1)=7,a(2)=32,a(3)=122} ogf] A213164 13.5560 [-1/(3*x-1)^2/(x-1)^3 ogf] A213164 15.4926 [-(15*x-9)/(3*x^2-4*x+1) lgdogf] A213164 4.96168 [{(-n-3)*a(n+3)+(17+4*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=1,a(1)=9,a(2)=51} ogf] A213165 3.56322 [-1/(x-1)/(x^3-6*x^2+5*x-1)^2 ogf] A213167 4.66619 [-(44*f(x)-161)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+2*x+1) egf] A213167 8.60328 [-(-x^2+2*x+5)/(-x^3+3*x^2-x-1) lgdegf] A213167 9.02639 [(x^2-2*x-1)/(x-1)^3 egf] A213170 23.1733 [-2*exp(x) lgdegf] A213170 64.2672 [-2*exp(x) lgdegf] A213173 11.2946 [(20*f(x)-19)*(4*f(x)*x^2-f(x)+x+1) ogf] A213173 12.1770 [-(-4*x^2-8*x-1)/(-4*x^3-4*x^2+x+1) lgdogf] A213173 12.1770 [{-a(n+2)+4*a(n),a(0)=1,a(1)=1} ogf] A213173 19.0080 [-(x+1)/(2*x-1)/(2*x+1) ogf] A213182 10.2742 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10100,a(1)=10101} ogf] A213182 13.5982 [-(-10099*x+10101)/(-10099*x^2+20199*x-10100) lgdogf] A213182 17.4468 [-(10099*x-10100)/(x-1)^2 ogf] A213182 9.15524 [(2*f(x)+102010001)*(f(x)*x^2-2*f(x)*x+f(x)+10099*x-10100) ogf] A213184 10.2742 [{-a(n+2)+2*a(n+1)-a(n),a(0)=10100,a(1)=10101} ogf] A213184 13.5982 [-(-10099*x+10101)/(-10099*x^2+20199*x-10100) lgdogf] A213184 17.4468 [-(10099*x-10100)/(x-1)^2 ogf] A213184 9.15524 [(2*f(x)+102010001)*(f(x)*x^2-2*f(x)*x+f(x)+10099*x-10100) ogf] A213190 5.94632 [{3*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A213222 13.3304 [-(2*x^3-2*x^2-4*x-4)/(-x^5+3*x^4-6*x^2+x+3) lgdogf] A213222 15.4555 [(x^3-3*x^2+x+3)/(x+1)/(x-1)^2 ogf] A213222 8.07902 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=3,a(1)=4,a(2)=4,a(3)=6} ogf] A213222 8.96156 [(1+5*f(x))*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x+3*x^2+f(x)-x-3) ogf] A213223 4.40438 [-(3078*f(x)+13507)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-99*x^2-f(x)+8*x+1) ogf] A213223 4.70297 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=1,a(1)=20,a(2)=120} ogf] A213223 5.90373 [-(-990*x^3-830*x^2+220*x-20)/(-990*x^4+1169*x^3-177*x^2-3*x+1) lgdogf] A213223 8.53771 [(99*x^2-8*x-1)/(10*x-1)/(x-1)^2 ogf] A213243 15.5915 [(2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A213243 7.66132 [-(16*x^5+12*x^4+16*x^3-5*x^2-14*x-1)/(8*x^6+4*x^5-6*x^4-5*x^3-3*x^2+x+1) lgdogf] A213243 8.88713 [-(127*f(x)+59)*(4*f(x)*x^4-5*f(x)*x^2-2*x^2+f(x)-x-1) ogf] A213244 5.42219 [(8*x^6+12*x^5+14*x^4+3*x^3+7*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1)/(x^2+1) ogf] A213245 12.1742 [(4*x^4+6*x^3+x^2+3*x+1)/(x-1)/(2*x-1)/(x^2+x+1)/(4*x^2+2*x+1) ogf] A213260 15.0360 [-(x^4+6*x^3+6*x^2+6*x+6)/(x^5-1) ogf_with_Euler_transform] A213269 11.0794 [-6*x/(x-1)^5 egf] A213269 24.9288 [5/(-x+1) lgdegf] A213269 6.23219 [{(-n^2-7*n-10)*a(n+1)+(n+1)*a(n+2),a(0)=0,a(1)=6} ogf] A213282 6.54364 [-f(x)^3*x-f(x)*x^3+3*f(x)*x^2+x^3-3*f(x)*x-3*x^2+f(x)+3*x-1 ogf] A213283 4.13478 [{(93*n^2-1029*n-2430)*a(n+1)+(184*n^2+3005*n-194)*a(n+2)+(-277*n^2-496*n+116)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A213283 8.67405 [-x*(18*x^3+x^2+4*x+1)/(x-1)^5 ogf] A213283 9.38839 [-(-36*x^3-57*x^2-18*x-9)/(-18*x^4+17*x^3-3*x^2+3*x+1) lgdogf] A213284 7.05659 [x*(84*x^4+22*x^3+5*x^2+8*x+1)/(x-1)^6 ogf] A213284 7.32288 [-(168*x^4+402*x^3+86*x^2+50*x+14)/(84*x^5-62*x^4-17*x^3+3*x^2-7*x-1) lgdogf] A213285 6.10779 [-x*(507*x^5+106*x^4+89*x^3-3*x^2+20*x+1)/(x-1)^7 ogf] A213286 4.90029 [x*(3570*x^6+693*x^5+610*x^4+101*x^3+27*x^2+38*x+1)/(x-1)^8 ogf] A213287 4.33274 [-x*(28498*x^7+5880*x^6+4234*x^5+1273*x^4+266*x^3+86*x^2+82*x+1)/(x-1)^9 ogf] A213288 3.55771 [x*(256561*x^8+52034*x^7+41203*x^6+6496*x^5+6224*x^4-290*x^3+499*x^2+152*x+1)/(x-1)^10 ogf] A213299 3.82858 [-(2*x^7-2*x^6+5*x^5-2*x^4+2*x^3+2*x^2+x+2)/(10*x^4-1)/(x^4+1)/(x-1)^2 ogf] A213380 39.0566 [13/(-x+1) lgdogf] A213380 7.26051 [-132*x^12/(x-1)^13 ogf] A213384 16.8105 [-(-3*x-6)/(x^2-1) ogf_with_Euler_transform] A213384 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(3/4)*2^(1/4)/GAMMA(3/4)^3 A213387 11.0471 [-x*(x+2)/(2*x-1)/(x-1)^2 ogf] A213387 5.38192 [-(2181*f(x)-1769)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)+2*x) ogf] A213387 5.67284 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=9} ogf] A213387 9.68746 [-(4*x^2+11*x-9)/(2*x^3+x^2-5*x+2) lgdogf] A213388 8.32023 [-(2*x^4-12*x^3-24*x^2-24*x-6)/(x^5-5*x^4-4*x^3+4*x^2+3*x+1) lgdogf] A213388 9.69062 [-(x^3-5*x^2-3*x-1)/(x+1)/(x-1)^4 ogf] A213389 7.88251 [-(2*x^5+2*x^4+20*x^3+8*x^2+14*x+2)/(x^6+3*x^4-3*x^2-1) lgdogf] A213389 8.32535 [x*(x^4+4*x^2+1)/(x+1)^2/(x-1)^4 ogf] A213390 6.59441 [-(x^5-x^4-2*x^3-10*x^2-5*x-1)/(x+1)^2/(x-1)^4 ogf] A213391 7.21972 [x*(x^6+4*x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A213392 5.09824 [-(x^7-x^6-6*x^5-8*x^4-16*x^3-12*x^2-5*x-1)/(x^2+x+1)^2/(x-1)^4 ogf] A213393 21.8255 [-x^3+2*x^2-x+4 ogf_with_Euler_transform] A213393 5.84988 [6*x*(x^2+1)*(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A213395 7.30075 [-(x^5+6*x^4+10*x^3+9*x^2+4*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A213396 22.5065 [-x^3+x^2+x+3 ogf_with_Euler_transform] A213396 8.89921 [-(-4*x^4-3*x^3-9*x^2-5*x-3)/(-x^5-x^3+x^2+1) lgdogf] A213396 9.22881 [3*(x^2+1)*x/(x^2+x+1)/(x-1)^4 ogf] A213397 8.70632 [(x^4+2*x^3+6*x^2+2*x+1)/(x^2+x+1)/(x-1)^4 ogf] A213398 11.2770 [(x^3-2*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A213398 6.12686 [(13920*f(x)-74989)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+2*x^2-f(x)+2*x+1) ogf] A213398 8.02176 [-(x^4-2*x^3-7*x^2-12*x-4)/(x^5-2*x^4-3*x^3+x^2+2*x+1) lgdogf] A213399 8.31597 [-(x^4+3*x^3+8*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A213400 5.09270 [-x^3*(x^6+x^5-4*x^4-13*x^3-15*x^2-6*x-2)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A213411 5.13124 [-(x-1)*(x+1)*(x^9+x^8+x^6+x^4+x^3+x-1)/(x^12-x^11-2*x^10+x^9-2*x^5+x^4-x^3+x^2+2*x-1) ogf] A213413 4.84806 [(2101283*f(x)+7928655)*(210*f(x)*x^3-107*f(x)*x^2+18*f(x)*x+105*x^2-f(x)-40*x+4) ogf] A213413 5.29246 [{a(n+3)-18*a(n+2)+107*a(n+1)-210*a(n),a(0)=4,a(1)=32,a(2)=253} ogf] A213413 9.20428 [-(105*x^2-40*x+4)/(6*x-1)/(7*x-1)/(5*x-1) ogf] A213414 3.29014 [-2*(83160*x^5-55404*x^4+14899*x^3-2021*x^2+140*x-4)/(9*x-1)/(6*x-1)/(7*x-1)/(10*x-1)/(11*x-1)/(8*x-1) ogf] A213419 12.6552 [-(x^26-x^24+1)/(-x^2+1) ogf_with_Euler_transform] A213421 12.5256 [-(2*x-1)/(7*x^2-4*x+1) ogf] A213421 6.47874 [(27*f(x)-34)*(7*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A213421 6.87379 [{-a(n+2)+4*a(n+1)-7*a(n),a(0)=1,a(1)=2} ogf] A213421 8.28899 [-(14*x^2-14*x+2)/(14*x^3-15*x^2+6*x-1) lgdogf] A213432 16.3223 [-2*x^4/(2*x-1)^5 ogf] A213432 37.1472 [10/(-2*x+1) lgdogf] A213432 7.92110 [{(-2+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A213432 8.83009 [32*f(x)*x^5-80*f(x)*x^4+80*f(x)*x^3+2*x^4-40*f(x)*x^2+10*f(x)*x-f(x) ogf] A213436 10.1810 [-(27*x^2+66*x+17)/(9*x^3+3*x^2-11*x-1) lgdogf] A213436 8.65386 [-(9*x^2+12*x+1)/(x-1)^5 ogf] A213455 12.0494 [-(108*x^2-98*x+14)/(36*x^3-49*x^2+14*x-1) lgdogf] A213455 19.0113 [-90/(x-1)/(4*x-1)/(9*x-1) ogf] A213455 6.95537 [{a(n+3)-14*a(n+2)+49*a(n+1)-36*a(n),a(0)=90,a(1)=1260,a(2)=13230} ogf] A213455 7.25009 [(12951991*f(x)-103226400)*(36*f(x)*x^3-49*f(x)*x^2+14*f(x)*x-f(x)+90) ogf] A213472 5.47720 [-(x^12+3*x^11-4*x^10+10*x^9-5*x^8+5*x^6-5*x^4+10*x^3-4*x^2+3*x+1)*(x^2+x+1)/(x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A213479 8.95978 [(x^4-x^3-5*x^2-3*x-1)/(x+1)^2/(x-1)^3 ogf] A213480 6.84325 [-x*(x^4-3*x^3-10*x^2-8*x-4)/(x+1)^2/(x-1)^4 ogf] A213481 7.18345 [(x^4+6*x^3+10*x^2+5*x+1)/(x+1)^2/(x-1)^4 ogf] A213482 6.80869 [-x*(x^4-3*x^3-10*x^2-8*x-3)/(x+1)^2/(x-1)^4 ogf] A213483 6.91485 [(x^5-2*x^4-4*x^3+2*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A213484 8.28581 [-(x^4+x^3-x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A213485 6.94331 [x*(x^4+x^3+2*x^2+4*x+4)/(x^2+1)/(x-1)^4 ogf] A213486 10.7797 [3*x/(x^2+1)/(x-1)^4 ogf] A213486 11.6218 [-(-6*x^2+2*x-4)/(-x^3+x^2-x+1) lgdogf] A213486 25.4828 [[x^3-x+4] ogf_with_Euler_transform] A213486 3.77561 [{(-3-n)*a(n+4)+(6+n)*a(n+3)+(-3-n)*a(n+2)+(6+n)*a(n+1),a(0)=0,a(1)=3,a(2)=12,a(3)=27} ogf] A213487 7.34124 [(x^4+4*x^3+2*x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A213488 6.99130 [x*(x^4+x^3+2*x^2+4*x+1)/(x^2+1)/(x-1)^4 ogf] A213489 7.47534 [-(x^5-2*x^3+2*x^2-3*x-1)/(x^2+1)/(x-1)^4 ogf] A213490 6.26463 [2*x^5*(17*x^4+15*x^3+21*x^2+13*x+6)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A213491 4.83007 [-(34*x^8+63*x^7+98*x^6+106*x^5+89*x^4+55*x^3+26*x^2+8*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A213492 7.32712 [2*x*(2*x^4+3*x^3+6*x^2+5*x+2)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A213493 6.87591 [12*x^6*(5*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A213494 7.36393 [x^6*(5*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A213495 8.40841 [-(x^2+1)*(3*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A213496 6.80869 [x*(x^4+3*x^3+11*x^2+5*x+4)/(x+1)^2/(x-1)^4 ogf] A213497 7.29695 [-(2*x^5+6*x^4+8*x^3+8*x^2+4*x+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A213498 6.87353 [x*(x^4+3*x^3+9*x^2+7*x+4)/(x+1)^2/(x-1)^4 ogf] A213499 5.45402 [x*(3*x^5+11*x^4+19*x^3+22*x^2+13*x+4)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A213501 6.07020 [x*(2*x^5+12*x^4+21*x^3+21*x^2+12*x+4)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A213502 7.97126 [-(2*x^4-9*x^3-29*x^2-43*x-17)/(x^5-4*x^4-6*x^3+5*x+4) lgdogf] A213502 8.15039 [-x*(x^3-4*x^2-5*x-4)/(x+1)/(x-1)^4 ogf] A213504 5.43879 [(2*x^5-7*x^4+10*x^3-9*x^2-1)/(x^2-3*x+1)/(x^2+x-1)^3 ogf] A213506 24.5390 [x^3+2*x^2+x+1 ogf_with_Euler_transform] A213506 7.46687 [-1/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^5 ogf] A213507 16.5446 [4/(1+(1-4*x)^(1/2))^2 lgdegf] A213507 34.0943 [4/(1+(1-4*x)^(1/2))^2 lgdegf] A213507 4.46602 [{(-4*n^3-26*n^2-56*n-40)*a(n+1)+(n^2+11*n+19)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A213527 14.4615 [-(-x-1)/(-x^2-x+1) lgdegf] A213527 37.8874 [-(-x-1)/(-x^2-x+1) lgdegf] A213527 4.88839 [{(n^2+4*n+4)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A213528 14.9786 [-(-x-2)/(-x^2-2*x+1) lgdegf] A213528 35.3496 [-(-x-2)/(-x^2-2*x+1) lgdegf] A213528 5.06320 [{(n^2+4*n+4)*a(n+1)+(2*n+6)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A213546 6.70024 [(9*x^3+35*x^2+19*x+1)/(x-1)^6 ogf] A213546 7.37780 [-(27*x^3+167*x^2+165*x+25)/(9*x^4+26*x^3-16*x^2-18*x-1) lgdogf] A213547 3.74132 [{(n^2+8*n+15)*a(n+1)+(-2*n^2-16*n-60)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=1,a(1)=12,a(2)=68} ogf] A213547 6.41370 [-(x+1)*(x^2+4*x+1)/(x-1)^7 ogf] A213547 8.97917 [-(4*x^3+28*x^2+40*x+12)/(x^4+4*x^3-4*x-1) lgdogf] A213549 10.6325 [-(9*x^2+34*x+12)/(3*x^3+4*x^2-6*x-1) lgdogf] A213549 8.88286 [-(3*x^2+7*x+1)/(x-1)^5 ogf] A213552 10.0970 [-(24*x^2+57*x+15)/(6*x^3+3*x^2-8*x-1) lgdogf] A213552 7.68745 [(6*x^2+9*x+1)/(x-1)^6 ogf] A213554 6.66440 [(27*x^3+91*x^2+37*x+1)/(x-1)^6 ogf] A213554 7.33084 [-(81*x^3+445*x^2+367*x+43)/(27*x^4+64*x^3-54*x^2-36*x-1) lgdogf] A213556 3.45353 [{(-377*n^2-2985*n-5908)*a(n+1)+(370*n^2+1052*n+1042)*a(n+2)+(7*n^2+13*n-24)*a(n+3),a(0)=1,a(1)=19,a(2)=118} ogf] A213556 6.87182 [(3*x^3+19*x^2+13*x+1)/(x-1)^6 ogf] A213556 7.83067 [-(9*x^3+85*x^2+103*x+19)/(3*x^4+16*x^3-6*x^2-12*x-1) lgdogf] A213557 6.73505 [-(x^2+1)*(x+1)/(x^2+x-1)^2/(x-1)^3 ogf] A213559 4.54987 [(27*x^5+421*x^4+1106*x^3+666*x^2+83*x+1)/(x-1)^8 ogf] A213560 4.26224 [-(x+1)*(x^2+10*x+1)*(x^2+4*x+1)/(x-1)^9 ogf] A213562 6.83710 [(3*x^3+16*x^2+12*x+1)/(x-1)^6 ogf] A213562 7.88278 [-(9*x^3+73*x^2+92*x+18)/(3*x^4+13*x^3-4*x^2-11*x-1) lgdogf] A213563 10.2507 [-(-10*x^2-22*x-10)/(-2*x^3-x^2+2*x+1) lgdogf] A213563 7.08039 [-(x+1)*(2*x+1)/(x-1)^7 ogf] A213565 7.44484 [(16*x^2+15*x+1)/(x-1)^6 ogf] A213565 9.57194 [-(64*x^2+107*x+21)/(16*x^3-x^2-14*x-1) lgdogf] A213567 4.71859 [(9*x^6+9*x^5+9*x^4-20*x^3-7*x^2+7*x+1)/(x-1)^3/(x^2+x-1)^3 ogf] A213569 4.78099 [-(7*f(x)-1726)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+4*x^2+f(x)-x-1) ogf] A213569 7.94911 [-(16*x^3-6*x^2-13*x+7)/(8*x^4-14*x^3+5*x^2+2*x-1) lgdogf] A213569 9.29262 [-(4*x^2-x-1)/(x-1)^2/(2*x-1)^2 ogf] A213570 7.84276 [-(x^2+4*x+1)/(x^2+x-1)/(x-1)^4 ogf] A213572 5.79195 [(14*x^3-14*x^2+2*x+1)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A213574 7.06550 [(16*x^4+10*x^3-27*x^2+8*x+1)/(x-1)^3/(2*x-1)^3 ogf] A213575 7.75728 [-(6*x^3+32*x^2-4*x-10)/(2*x^4+5*x^3-9*x^2+x+1) lgdogf] A213575 8.05186 [-(x^2+4*x+1)/(2*x-1)/(x-1)^4 ogf] A213577 6.83151 [-(2*x^3-3*x^2+x-1)/(x^2-3*x+1)/(x^2+x-1)^2 ogf] A213578 8.45620 [-(-4*x^4-6*x^2+2*x+4)/(-x^5+x^3-x^2+2*x-1) lgdogf] A213578 9.26707 [(x^2+1)/(x-1)^2/(x^2+x-1)^2 ogf] A213580 8.15468 [-(3*x^3+x^2-x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A213581 7.63859 [-(2*x^2-1)/(2*x-1)^2/(x-1)^4 ogf] A213581 8.77405 [-(16*x^3-4*x^2-16*x+8)/(4*x^4-6*x^3+3*x-1) lgdogf] A213583 9.05669 [-(-36*x^3+22*x^2+14*x-9)/(-12*x^4+22*x^3-10*x^2-x+1) lgdogf] A213583 9.73594 [(6*x^2-2*x-1)/(2*x-1)^2/(x-1)^3 ogf] A213585 7.27415 [-(2*x^4+4*x^3+2*x^2-3*x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A213586 8.66435 [-(3*x^3+7*x^2+2*x-6)/(x^4+x^3-2*x^2-x+1) lgdogf] A213586 9.00192 [(x+1)^2/(x^2+x-1)/(x-1)^3 ogf] A213588 7.30875 [(x^3-3*x^2+2*x+1)/(x+1)/(x^2-3*x+1)^2 ogf] A213589 8.29561 [-(8*x^3+17*x^2+16*x+6)/(2*x^4+5*x^3+2*x^2-2*x-1) lgdogf] A213589 9.85855 [-(x+1)*(2*x+1)/(x^2+x-1)^3 ogf] A213592 5.92214 [-(-3*x^7-2*x^6-2*x^5-3*x^3-3*x^2-4*x-1)/(x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+1) ogf_with_Euler_transform] A213598 43.1807 [1/(-x+1) ogf_with_Euler_transform] A213604 8.21012 [(6*x^7+7*x^6+4*x^5+6*x^4+4*x^3+7*x^2+6*x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A213607 7.60759 [-(-3*x^5-2*x^4-x^3-2*x-1)/(x^6+x^5+x^4+x^2+x+1) ogf_with_Euler_transform] A213617 13.1806 [-(3*x^2+4*x+2)/(-x^3-2*x^2-2*x-1) ogf_with_Euler_transform] A213622 6.98447 [-(3*x^6+2*x^4-x^3+4*x^2+x+3)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A213622 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/8*Pi)/Pi^(3/4)*2^(1/8)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2 A213624 12.2345 [-(-3*x^4-x^3-2)/(x^5+x^4+x+1) ogf_with_Euler_transform] A213624 99.9999 Evaluated at exp(-Pi) 1/32*exp(3/4*Pi)*2^(1/2)*GAMMA(5/8)^3*(1+2^(1/2))/Pi^(3/4)/GAMMA(7/8)^3 A213625 6.53475 [-(3*x^6+x^5+x^4-x^3+4*x^2+2*x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A213625 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/4*Pi)/Pi^(3/4)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2*2^(1/2) A213627 16.7586 [-(3*x^2-4*x+4)/(-x^3-1) ogf_with_Euler_transform] A213640 10.6256 [x+ln(x-1)+ln(x+1)-I*Pi revegf] A213655 10.5815 [-(5*x^2+10*x+13)/(x^3+x^2+x-1) ogf] A213655 5.64945 [(421*f(x)-1783)*(f(x)*x^3+f(x)*x^2+f(x)*x+5*x^2-f(x)+10*x+13) ogf] A213655 5.79683 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=13,a(1)=23,a(2)=41} ogf] A213659 13.7831 [-(36*x-11)/(4*x-1)/(3*x-1) ogf] A213659 6.89155 [-(23*f(x)+1428)*(12*f(x)*x^2-7*f(x)*x+f(x)+36*x-11) ogf] A213659 7.78339 [{a(n+2)-7*a(n+1)+12*a(n),a(0)=11,a(1)=41} ogf] A213659 8.70511 [-(-432*x^2+264*x-41)/(-432*x^3+384*x^2-113*x+11) lgdogf] A213661 5.35635 [(22*f(x)+3763)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3-3*f(x)*x-2*x^2+f(x)+9*x-4) ogf] A213661 9.80839 [(x^3+2*x^2-9*x+4)/(2*x-1)/(x^3+x^2+x-1) ogf] A213663 10.6258 [-(6*x^3+7*x^2+8*x-7)/(2*x-1)/(x^3+x^2+x-1) ogf] A213663 5.84416 [(17*f(x)-718)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+6*x^3-3*f(x)*x+7*x^2+f(x)+8*x-7) ogf] A213665 11.2831 [-(7*x^2+10*x+13)/(x^3+x^2+x-1) ogf] A213665 6.02403 [(577*f(x)-1581)*(f(x)*x^3+f(x)*x^2+f(x)*x+7*x^2-f(x)+10*x+13) ogf] A213665 6.18118 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=13,a(1)=23,a(2)=43} ogf] A213667 11.2388 [-(x^3+x^2-3*x-1)/(x-1)/(x^2+2*x-1) ogf] A213667 5.78712 [{-a(n+4)+3*a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=6,a(2)=16,a(3)=40} ogf] A213667 6.40887 [(31+49*f(x))*(f(x)*x^3+f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)-3*x-1) ogf] A213667 9.23183 [-(6*x^2+4*x-6)/(-x^6-2*x^5+5*x^4+6*x^3-9*x^2+1) lgdogf] A213684 4.16004 [-27*f(x)^3*x^4-22*f(x)^3*x^3+5*x^2*f(x)^3-54*f(x)^2*x^3-44*f(x)^2*x^2+10*f(x)^2*x-36*f(x)*x^2-27*f(x)*x+5*f(x)-8*x-5 ogf] A213688 8.00036 [x*(x^2+4*x-1)/(x-1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A213698 3.35784 [-(4*x^8+59*x^7+425*x^6+1111*x^5+1803*x^4+1461*x^3+731*x^2+153*x+13)/(x+1)^4/(x-1)^7 ogf] A213705 7.88374 [-f(x)^2*x^3-2*f(x)*x^3-2*f(x)*x^2-x^3+f(x)*x-3*x^2+f(x)-3*x-1 ogf] A213720 4.93659 [{(n+5)*a(n+1)+(-n-5)*a(n+2)+a(n+4)-2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A213748 6.92265 [(14*x^2-4*x-1)/(2*x-1)/(4*x-1)^2/(x-1)^2 ogf] A213749 10.0416 [-(16*x^3-6*x^2-16*x+9)/(4*x^4-6*x^3+3*x-1) lgdogf] A213749 4.15129 [{(-2*n^2-20*n-50)*a(n+1)+(3*n^2+24*n+45)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=9,a(2)=46} ogf] A213749 8.74213 [-(2*x^2-1)/(x-1)^3/(2*x-1)^3 ogf] A213754 5.51375 [(12*x^4+6*x^3-18*x^2+5*x+1)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A213755 6.41543 [-(x+1)*(2*x^2-1)/(2*x-1)^2/(x-1)^4 ogf] A213757 7.53876 [-(-84*x^3+70*x^2+10*x-14)/(-28*x^4+56*x^3-33*x^2+4*x+1) lgdogf] A213757 8.09719 [(14*x^2-7*x-1)/(2*x-1)^2/(x-1)^3 ogf] A213758 10.8706 [-(24*x^2+x-9)/(6*x^3-7*x^2+1) lgdogf] A213758 3.58437 [{(n+4)*a(n+4)-9*a(n+3)+(-13-7*n)*a(n+2)+(30+6*n)*a(n+1),a(0)=1,a(1)=9,a(2)=40,a(3)=130} ogf] A213758 9.33955 [-(3*x+1)/(2*x-1)/(x-1)^4 ogf] A213759 8.80564 [-(x^3-x^2-x-1)/(x+1)/(x-1)^4 ogf] A213759 9.24048 [-(2*x^4-4*x^2-10*x-4)/(x^5-x^4-2*x^3+x+1) lgdogf] A213760 6.76859 [(2*x^2+x+1)*(x^2-x-1)/(x+1)^3/(x-1)^5 ogf] A213763 4.51132 [-(62*f(x)-14045)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x+10*x^2+f(x)-5*x-1) ogf] A213763 7.31146 [-(-40*x^3+30*x^2+13*x-11)/(-20*x^4+40*x^3-23*x^2+2*x+1) lgdogf] A213763 8.83468 [-(10*x^2-5*x-1)/(x-1)^2/(2*x-1)^2 ogf] A213764 10.4882 [-(18*x^2+2*x-8)/(6*x^3-7*x^2+1) lgdogf] A213764 10.4882 [(3*x+1)/(2*x-1)/(x-1)^3 ogf] A213764 3.47708 [{(n+4)*a(n+4)-8*a(n+3)+(-12-7*n)*a(n+2)+(24+6*n)*a(n+1),a(0)=1,a(1)=8,a(2)=31,a(3)=90} ogf] A213764 5.03766 [(3856*f(x)+7027)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x+f(x)-3*x-1) ogf] A213766 6.68414 [(x^4-4*x^3+5*x^2+1)/(x^2-3*x+1)/(x^2+x-1)^2 ogf] A213767 7.76274 [(x^2+1)*(x+1)/(x-1)^2/(x^2+x-1)^2 ogf] A213769 7.99918 [-(7*x^3+2*x^2-4*x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A213770 10.0959 [(3*x+1)/(x^2+x-1)/(x-1)^3 ogf] A213770 8.49529 [-(-12*x^3-11*x^2+4*x+7)/(-3*x^4-x^3+6*x^2-x-1) lgdogf] A213772 4.51577 [(142080*f(x)+758363)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-7*x-1) ogf] A213772 9.09699 [(4*x^2+7*x+1)/(x-1)^4 ogf] A213772 9.51048 [-(8*x^2+29*x+11)/(4*x^3+3*x^2-6*x-1) lgdogf] A213775 7.09498 [-(5*x^4+9*x^3+2*x^2-7*x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A213776 8.78566 [(x+1)*(3*x+1)/(x^2+x-1)/(x-1)^3 ogf] A213779 8.25641 [-(-3*x^4-10*x^3-27*x^2-18*x-6)/(-x^5-2*x^4-3*x^3+x^2+4*x+1) lgdogf] A213779 8.78909 [(x^3+2*x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A213780 11.2127 [-(-18*x^2-16*x-6)/(-3*x^3-x^2+3*x+1) lgdogf] A213780 3.70020 [{(-n-4)*a(n+4)+(-3-3*n)*a(n+3)+(18+n)*a(n+2)+(21+3*n)*a(n+1),a(0)=1,a(1)=6,a(2)=17,a(3)=40} ogf] A213780 8.70634 [-(3*x+1)/(x+1)^2/(x-1)^5 ogf] A213782 7.78258 [-(4*x^5+4*x^4-8*x^3-33*x^2-24*x-7)/(2*x^6-6*x^4-5*x^3+3*x^2+5*x+1) lgdogf] A213782 8.87046 [-(2*x^4-4*x^2-5*x-1)/(x+1)^2/(x-1)^4 ogf] A213785 9.24894 [-x^2*(x-2)/(x-1)/(x^2-6*x+1)/(x^2+2*x-1) ogf] A213787 6.63700 [x^3*(x^4+2*x^3-4*x^2-5*x-2)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A213788 5.47372 [x^3*(x^4+2*x^3-23*x^2+4*x+10)/(x-1)/(x^2-6*x+1)/(x^2+2*x-1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A213791 14.0658 [-(-6*x^3-6*x^2-6)/(x^4-1) ogf_with_Euler_transform] A213791 99.9999 Evaluated at exp(-Pi) 1/32*exp(3/4*Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A213801 6.94375 [-(x^7-2*x^6-x^5-7*x^3-3*x^2-5*x-4)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A213802 3.70319 [-(x^9-4*x^8+4*x^7+22*x^6+86*x^5+266*x^4+380*x^3+258*x^2+97*x+18)/(x+1)^3/(x-1)^7 ogf] A213807 4.46742 [-x^2*(x^6-19*x^5+4*x^4+53*x^3+7*x^2-8*x-6)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A213809 13.2086 [-(2*x^14-2*x^12+2*x^11+x^10-2*x^9-2*x^4-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A213810 11.4690 [-(15047*x^2-29600*x+14561)/(x-1)^3 ogf] A213810 6.02329 [(874744*f(x)-198880202529)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15047*x^2-f(x)-29600*x+14561) ogf] A213810 6.75192 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14561,a(1)=14083,a(2)=13613} ogf] A213810 9.10041 [-(-15047*x^2+29106*x-14083)/(-15047*x^3+44647*x^2-44161*x+14561) lgdogf] A213816 12.9834 [-(x^3+x+1)/(x^6+x^4+x^2-1) ogf] A213818 7.76940 [-(2*x+1)*(5*x+1)/(x-1)^5 ogf] A213818 9.14047 [-(30*x^2+48*x+12)/(10*x^3-3*x^2-6*x-1) lgdogf] A213820 10.2378 [2*(5*x+1)/(x-1)^4 ogf] A213820 12.9540 [-(-15*x-9)/(-5*x^2+4*x+1) lgdogf] A213820 4.14866 [{(n+3)*a(n+3)+(-1+4*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=2,a(1)=18,a(2)=60} ogf] A213820 6.3382 [(296352*f(x)+2313839)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-10*x-2) ogf] A213823 4.16815 [(49764096*f(x)+900111755)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-25*x-4) ogf] A213823 8.63403 [(7*x^2+25*x+4)/(x-1)^4 ogf] A213823 8.75916 [-(14*x^2+89*x+41)/(7*x^3+18*x^2-21*x-4) lgdogf] A213824 7.52515 [-2*(x+2)*(2*x+1)/(x-1)^5 ogf] A213824 9.12139 [-(-6*x^2-24*x-15)/(-2*x^3-3*x^2+3*x+2) lgdogf] A213826 5.71948 [(2368*f(x)+42097)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-26*x-2) ogf] A213826 8.58497 [2*(4*x^2+13*x+1)/(x-1)^4 ogf] A213826 8.96937 [-(8*x^2+47*x+17)/(4*x^3+9*x^2-12*x-1) lgdogf] A213827 7.48264 [-(x+2)*(5*x+1)/(x-1)^5 ogf] A213827 8.93449 [-(15*x^2+54*x+21)/(5*x^3+6*x^2-9*x-2) lgdogf] A213829 4.35469 [(3174*f(x)+49393)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-14*x^2+f(x)-20*x-2) ogf] A213829 8.46406 [2*(7*x^2+10*x+1)/(x-1)^4 ogf] A213829 8.96937 [-(14*x^2+44*x+14)/(7*x^3+3*x^2-9*x-1) lgdogf] A213830 12.4711 [-(-6*x-9)/(-2*x^2+x+1) lgdogf] A213830 3.93823 [{(n+3)*a(n+3)+(-7+n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=2,a(1)=18,a(2)=78} ogf] A213830 7.57735 [-2*(2*x+1)^2/(x-1)^5 ogf] A213832 4.0705 [(1122011136*f(x)+12148137575)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-15*x-1) ogf] A213832 8.66434 [(8*x^2+15*x+1)/(x-1)^4 ogf] A213832 8.91918 [-(16*x^2+61*x+19)/(8*x^3+7*x^2-14*x-1) lgdogf] A213834 7.73734 [-(2*x+1)*(3*x+1)/(x-1)^5 ogf] A213834 9.12313 [-(18*x^2+32*x+10)/(6*x^3-x^2-4*x-1) lgdogf] A213837 4.19102 [(223494144*f(x)+1555559233)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-9*x-1) ogf] A213837 8.86796 [(6*x^2+9*x+1)/(x-1)^4 ogf] A213837 9.13267 [-(12*x^2+39*x+13)/(6*x^3+3*x^2-8*x-1) lgdogf] A213839 4.16825 [(296984576*f(x)+3972855401)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-15*x^2+f(x)-16*x-1) ogf] A213839 8.68876 [(x+1)*(15*x+1)/(x-1)^4 ogf] A213839 8.94061 [-(30*x^2+78*x+20)/(15*x^3+x^2-15*x-1) lgdogf] A213840 10.2843 [-(3*x+1)^2/(x-1)^5 ogf] A213840 16.5808 [-(-9*x-11)/(-3*x^2+2*x+1) lgdogf] A213840 5.31018 [{(n+3)*a(n+3)+(-7+2*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=1,a(1)=11,a(2)=54} ogf] A213842 4.21508 [(338419712*f(x)+4866686291)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-11*x^2+f(x)-20*x-1) ogf] A213842 8.78638 [(11*x^2+20*x+1)/(x-1)^4 ogf] A213842 9.04106 [-(22*x^2+82*x+24)/(11*x^3+9*x^2-19*x-1) lgdogf] A213843 11.1436 [-(21*x^2+46*x+13)/(7*x^3+x^2-7*x-1) lgdogf] A213843 3.69616 [{(n+4)*a(n+4)+(8+7*n)*a(n+3)+(-48-n)*a(n+2)+(-28-7*n)*a(n+1),a(0)=1,a(1)=13,a(2)=62,a(3)=190} ogf] A213843 9.45094 [-(x+1)*(7*x+1)/(x-1)^5 ogf] A213845 4.26733 [(378413056*f(x)+5604606645)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-20*x-3) ogf] A213845 8.96141 [(9*x^2+20*x+3)/(x-1)^4 ogf] A213845 9.09129 [-(18*x^2+78*x+32)/(9*x^3+11*x^2-17*x-3) lgdogf] A213846 7.53430 [-(x+1)*(5*x+3)/(x-1)^5 ogf] A213846 8.88373 [-(-15*x^2-42*x-23)/(-5*x^3-3*x^2+5*x+3) lgdogf] A213848 4.26733 [(430465024*f(x)+7246056095)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-5*x^2+f(x)-24*x-3) ogf] A213848 8.96141 [(5*x^2+24*x+3)/(x-1)^4 ogf] A213848 9.09129 [-(10*x^2+82*x+36)/(5*x^3+19*x^2-21*x-3) lgdogf] A213850 6.98888 [-(2*x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A213850 7.83092 [-(12*x^3+11*x^2+14*x+3)/(2*x^4+x^3-x^2-x-1) lgdogf] A213933 12.8662 [(2*x^9-2*x^4-3*x^2-x-1)/(3*x^3-1) ogf] A213963 5.18601 [-(x^9-10*x^8+45*x^7-120*x^6+129*x^5-1910*x^4-5945*x^3-6410*x^2-1806*x-138)/(x-1)^10 ogf] A213967 13.6425 [x*(x^3-x^2+1)/(x-1)/(x^3+x^2+x-1) ogf] A213967 7.69924 [(134*f(x)+129)*(f(x)*x^4-x^4+x^3-2*f(x)*x+f(x)-x) ogf] A214066 9.74278 [x*(5*x^3+3*x^2+4*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A214067 9.59627 [x*(8*x^3+5*x^2+7*x+5)/(x+1)/(x^2+1)/(x-1)^2 ogf] A214068 9.96916 [x*(3*x^3+2*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A214081 6.83581 [-(36*x^37-32*x^27-9*x^26-9*x^18-8*x^8-8)/(x-1)/(36*x^37-9*x^18-8) ogf] A214084 10.6482 [x*(12*x^26-12*x^25-2*x^2+2*x+1)/(x-1)^2 ogf] A214085 6.22171 [-x*(22*x^4+161*x^3+153*x^2+23*x+1)/(x-1)^7 ogf] A214085 6.89432 [-(66*x^4+732*x^3+1248*x^2+444*x+30)/(22*x^5+139*x^4-8*x^3-130*x^2-22*x-1) lgdogf] A214090 10.2372 [-x^2*(x^3+x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A214091 11.6636 [-(-60*x^2+36*x-5)/(-60*x^3+68*x^2-25*x+3) lgdogf] A214091 17.4953 [(10*x-3)/(3*x-1)/(2*x-1) ogf] A214091 8.47141 [-(303*f(x)+1534)*(6*f(x)*x^2-5*f(x)*x+f(x)-10*x+3) ogf] A214091 9.81445 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=-3,a(1)=-5} ogf] A214092 4.11608 [(36055296*f(x)+549841207)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-16*x^2+f(x)-19*x-1) ogf] A214092 8.46406 [(16*x^2+19*x+1)/(x-1)^4 ogf] A214092 8.70939 [-(32*x^2+89*x+23)/(16*x^3+3*x^2-18*x-1) lgdogf] A214098 3.17115 [(42742317*f(x)-93258260)*(24*f(x)*x^4-86*f(x)*x^3+71*f(x)*x^2+32*x^3-19*f(x)*x-105*x^2+f(x)+66*x-11) ogf] A214098 5.89981 [-(32*x^3-105*x^2+66*x-11)/(2*x-1)/(12*x^3-37*x^2+17*x-1) ogf] A214099 4.12664 [-(22613*f(x)+30597)*(16*f(x)*x^3-36*f(x)*x^2+18*f(x)*x+28*x^2-f(x)-56*x+21) ogf] A214099 4.39948 [{-a(n+3)+18*a(n+2)-36*a(n+1)+16*a(n),a(0)=21,a(1)=322,a(2)=5068} ogf] A214099 7.94533 [-7*(2*x-1)*(2*x-3)/(16*x^3-36*x^2+18*x-1) ogf] A214102 4.93094 [-(2*x^2-1)*(8*x^3-8*x^2-23*x+9)/(x-1)/(2*x-1)/(x+1)/(2*x^2+4*x+1)/(2*x^2-5*x+1) ogf] A214107 3.69973 [-(103320243240*f(x)-73119873041)*(73*f(x)*x^3-107*f(x)*x^2+35*f(x)*x+45*x^2-f(x)-29*x+4) ogf] A214107 4.34183 [{-a(n+3)+35*a(n+2)-107*a(n+1)+73*a(n),a(0)=4,a(1)=111,a(2)=3502} ogf] A214107 7.84122 [-(5*x-1)*(9*x-4)/(x-1)/(73*x^2-34*x+1) ogf] A214108 4.65879 [-(2212*f(x)+325)*(66*f(x)*x^2-68*f(x)*x+f(x)+10*x-10) ogf] A214108 5.24783 [{a(n+2)-68*a(n+1)+66*a(n),a(0)=10,a(1)=670} ogf] A214108 6.34112 [-(-66*x^2+132*x-67)/(-66*x^3+134*x^2-69*x+1) lgdogf] A214108 9.31757 [-10*(x-1)/(66*x^2-68*x+1) ogf] A214113 3.76822 [-(4617286771840*f(x)-882872482779)*(21*f(x)*x^4+4*f(x)*x^3-22*f(x)*x^2-4*f(x)*x+21*x^2+f(x)+5*x-4) ogf] A214113 8.32147 [-(7*x+4)*(3*x-1)/(x-1)/(3*x+1)/(7*x-1)/(x+1) ogf] A214129 13.1020 [-(x^11+x^7+x^4+1)/(x^13-1) ogf_with_Euler_transform] A214130 12.9555 [-(-x^10-x^9-x^2-x)/(-x^13+1) ogf_with_Euler_transform] A214131 12.0611 [-(-x^8-x^6-x^5-x^3)/(-x^13+1) ogf_with_Euler_transform] A214135 11.7835 [-(17*x-1)/(32*x-1)/(2*x-1) ogf] A214135 5.89175 [-(450*f(x)-161)*(64*f(x)*x^2-34*f(x)*x+f(x)+17*x-1) ogf] A214135 6.65421 [{a(n+2)-34*a(n+1)+64*a(n),a(0)=1,a(1)=17} ogf] A214135 7.44221 [-(-1088*x^2+128*x-17)/(-1088*x^3+642*x^2-51*x+1) lgdogf] A214136 4.04306 [-(1880*x^4-4226*x^3+2161*x^2-259*x+4)/(x-1)/(4*x^2-7*x+1)/(780*x^2-121*x+1) ogf] A214137 2.91832 [-(508411038695622435118*f(x)-8183093789864398685401)*(15312*f(x)*x^3-4754*f(x)*x^2+373*f(x)*x+6743*x^2-f(x)-1029*x+11) ogf] A214137 3.83169 [{-a(n+3)+373*a(n+2)-4754*a(n+1)+15312*a(n),a(0)=11,a(1)=3074,a(2)=1101051} ogf] A214137 6.51886 [-(6743*x^2-1029*x+11)/(6*x-1)/(2552*x^2-367*x+1) ogf] A214142 4.65463 [-(9671*f(x)+6172)*(8*f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-5*x+1) ogf] A214142 9.37674 [-(5*x^2-5*x+1)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A214143 4.36986 [-(260*x^4+118*x^3-113*x^2-23*x+4)/(x-1)/(3*x-1)/(2*x+1)/(13*x-1)/(4*x+1)/(x+1) ogf] A214160 3.40104 [(1041541221735*f(x)+93970698452)*(1562*f(x)*x^3-945*f(x)*x^2+84*f(x)*x+335*x^2-f(x)-66*x+1) ogf] A214160 3.99131 [{-a(n+3)+84*a(n+2)-945*a(n+1)+1562*a(n),a(0)=1,a(1)=18,a(2)=902} ogf] A214160 6.89926 [-(335*x^2-66*x+1)/(71*x-1)/(2*x-1)/(11*x-1) ogf] A214167 6.97789 [-(19*x^3-24*x^2+9*x-1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(x+1) ogf] A214181 4.53400 [-(21313*x^3-4292*x^2+161*x-1)/(11*x-1)/(32*x-1)/(2*x-1)/(134*x-1) ogf] A214188 5.26217 [-(91*x^4-135*x^3+68*x^2-14*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A214232 3.54116 [-(2539805*x^4-549839*x^3+24858*x^2-325*x+1)/(227*x-1)/(71*x-1)/(32*x-1)/(2*x-1)/(11*x-1) ogf] A214239 4.38079 [-(531*x^5-881*x^4+535*x^3-151*x^2+20*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(x+1) ogf] A214260 12.2322 [-(x+1)*x/(x^3+2*x-1) ogf] A214260 6.44494 [{-a(n+3)+2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A214260 7.88657 [-(2*x^3+3*x^2+3)/(x^4+x^3+2*x^2+x-1) lgdogf] A214260 8.94595 [-f(x)*x^3-2*f(x)*x-x^2+f(x)-x ogf] A214262 10.1223 [-(6*x^5+5*x^4+x^3+6*x^2+x+5)/(-x^6+1) ogf_with_Euler_transform] A214263 3.59222 [-(x^12+x^9+x^8+x^4-x^2+1)/(-x^13-x^12-x^9-x^8-x^5-x^4-x-1) ogf_with_Euler_transform] A214264 3.41846 [-(x^12+x^11-x^9+x^4+x^3+x^2)/(-x^13-x^12-x^9-x^8-x^5-x^4-x-1) ogf_with_Euler_transform] A214286 5.58521 [x^6*(x^10+x^9+x^7+x^6+x^5+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1)/(x^8+1) ogf] A214295 5.86940 [-(-x^8-x^6-x^2+x)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A214297 11.8775 [(3*x^4-8*x^3+4*x^2-2*x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A214302 3.98059 [-(2*x^13-x^11-x^10+2*x^9+2*x^5-x^2+x)/(-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf_with_Euler_transform] A214304 3.91676 [-(x^11-2*x^10+x^9+2*x^8-x^7+2*x^3-2*x^2-x+2)/(-x^12-x^8-x^4-1) ogf_with_Euler_transform] A214316 5.74625 [-(-2*x^9-3*x^8-2*x^7-3*x^6-2*x^5-2*x^4-2*x^3-3*x^2-2*x-3)/(x^10-1) ogf_with_Euler_transform] A214320 7.83313 [-(3*x^15+2*x^13+x^12+2*x^11+x^10+2*x^9+7*x^8+5*x^7+2*x^6+2*x^5+3*x^4+2*x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A214341 10.6453 [-(x^2-1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A214345 11.7319 [(x^3-3*x^2+3*x-5)/(x+1)/(x-1)^3 ogf] A214345 5.99629 [{(-n-5)*a(n+1)-2*a(n+2)+(n+3)*a(n+3),a(0)=5,a(1)=7,a(2)=17} ogf] A214345 6.32421 [-(724*f(x)-4365)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+3*x^2-f(x)-3*x+5) ogf] A214345 8.34535 [-(x^4-4*x^3+6*x^2-20*x-7)/(x^5-3*x^4+2*x^3-2*x^2-3*x+5) lgdogf] A214353 5.22685 [-(x^6-7*x^5+20*x^4-30*x^3+23*x^2-13*x+26)/(x-1)^7 ogf] A214360 8.80228 [-(f(x)*x^2-2*f(x)*x+f(x)-3120613837*x-23)^2 ogf] A214361 99.9999 Evaluated at exp(-Pi) 1/54*exp(Pi)*Pi^2*2^(1/2)*3^(3/4)/GAMMA(2/3)^2/GAMMA(3/4)^2*(3^(1/2)-1)^2/GAMMA(7/12)^2 A214372 14.5661 [-x*(x^3+2*x^2+x-1) revogf] A214377 13.3025 [1-2*f(x)+f(x)^2-16*x^2*f(x)^3 ogf] A214377 5.32101 [{(108*n^2+432*n+420)*a(n+1)+(-n^2-7*n-10)*a(n+3),a(0)=1,a(1)=4,a(2)=24} ogf] A214385 6.77062 [-2*(4*x^3-17*x^2+19*x+4)/(x-1)^7 ogf] A214385 8.32708 [-(-16*x^3+73*x^2-80*x-47)/(-4*x^4+21*x^3-36*x^2+15*x+4) lgdogf] A214392 7.10281 [x*(x^2-x+1)*(x^4+3*x^3+5*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A214393 11.5398 [(7*x^3-19*x^2+9*x-13)/(x+1)/(x-1)^3 ogf] A214393 6.16037 [-(4568*f(x)-101575)*(f(x)*x^4-2*f(x)*x^3-7*x^3+2*f(x)*x+19*x^2-f(x)-9*x+13) ogf] A214393 8.03264 [-(7*x^4-24*x^3+10*x^2-72*x-17)/(7*x^5-19*x^4+2*x^3+6*x^2-9*x+13) lgdogf] A214394 5.48134 [x*(x^10+2*x^9+3*x^8+4*x^7+5*x^6+x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A214395 15.0188 [-(2*x^2+9*x+5)/(x-1)/(x^2+x+1) ogf] A214395 8.55723 [-(4467*f(x)+26701)*(f(x)*x^3+2*x^2-f(x)+9*x+5) ogf] A214395 9.68318 [{-a(n+3)+a(n),a(0)=5,a(1)=9,a(2)=2} ogf] A214405 11.4859 [-(5*x^3-17*x^2+27*x+1)/(x+1)/(x-1)^3 ogf] A214405 6.3711 [(4568*f(x)-77863)*(f(x)*x^4-2*f(x)*x^3+5*x^3+2*f(x)*x-17*x^2-f(x)+27*x+1) ogf] A214405 7.84135 [-(-5*x^4+24*x^3-62*x^2-24*x-29)/(-5*x^5+17*x^4-22*x^3-18*x^2+27*x+1) lgdogf] A214411 8.08541 [-x^6*(2*x^42+x^35+x^28+x^21+x^14+x^7+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^42+x^35+x^28+x^21+x^14+x^7+1) ogf] A214414 8.72766 [-x*(993*x^8-997*x^7+7*x^4-9*x^3+2*x^2-3*x-1)/(x-1)^2 ogf] A214429 7.30725 [-x*(x^6+x^5+2*x^4+7*x^3+2*x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A214433 6.29921 [-x*(445*x^17-2*x^16-451*x^15+15*x^9-2*x^8-17*x^7+3*x^5-5*x^3-x-1)/(x+1)/(x-1)^2 ogf] A214438 11.9059 [(x^2+x+1)/(x^4-x^2+1) ogf] A214438 13.5349 [x^11-x^5-x^3-x^2+x+1 ogf_with_Euler_transform] A214438 6.99623 [-(f(x)-2)*(f(x)*x^4-f(x)*x^2-x^2+f(x)-x-1) ogf] A214439 5.35049 [-(27*x^11+27*x^10+9*x^9+9*x^8+3*x^7+3*x^6-x^5-27*x^4-9*x^3-9*x^2-3*x-3)/(x-1)/(x+1)/(3*x^2-1)/(x^2+x+1)/(x^2-x+1)/(9*x^4+3*x^2+1) ogf] A214446 10.2772 [-(-2*x^2-11*x+1)/(-x^3-2*x^2+4*x-1) lgdogf] A214446 4.73773 [-(11475*f(x)+35197)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-6*x+2) ogf] A214446 9.68145 [2*(x^2+3*x-1)/(x-1)^4 ogf] A214449 4.54489 [(x^28-x^27+x^23-x^22+x^18-x^17+x^13-x^12+x^9-x^7+x^5+x^4+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A214456 99.9999 Evaluated at exp(-Pi) -1/4*GAMMA(2/3)^2/GAMMA(11/12)^3/GAMMA(7/12)/(-2+3^(1/2)) A214489 5.19728 [-x*(24*x^32-24*x^31+18*x^28-24*x^26-25*x^17+25*x^16-20*x^6+20*x^5-15*x^2+20)/(6*x^26-5)/(x-1)^2 ogf] A214493 10.4657 [-(7*x^4-24*x^3+16*x^2-84*x-23)/(7*x^5-19*x^4+4*x^3+2*x^2-11*x+17) lgdogf] A214493 14.9718 [(7*x^3-19*x^2+11*x-17)/(x+1)/(x-1)^3 ogf] A214493 8.16646 [-(930*f(x)-24103)*(f(x)*x^4-2*f(x)*x^3-7*x^3+2*f(x)*x+19*x^2-f(x)-11*x+17) ogf] A214505 3.53751 [-(-x^15-x^14+x^13+x^12-x^3-x^2+1)/(x^16-x^14+x^12+x^4-x^2+1) ogf_with_Euler_transform] A214525 11.4540 [-x*(7*x^2-1)/(49*x^4-49*x^3+23*x^2-7*x+1) ogf] A214525 5.76944 [(1302*f(x)+33575)*(49*f(x)*x^4-49*f(x)*x^3+23*f(x)*x^2+7*x^3-7*f(x)*x+f(x)-x) ogf] A214541 6.52668 [-(x^9-2*x^8-x^7+4*x^5+3*x^3+8*x^2+11*x+2)/(x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A214553 3.32531 [{(12500*n^4+100000*n^3+295000*n^2+380000*n+180180)*a(n+1)+(-27*n^4-297*n^3-1203*n^2-2127*n-1386)*a(n+3),a(0)=1,a(1)=4,a(2)=40} ogf] A214555 5.52560 [-495*(1000*x^2-1)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A214556 2.98405 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=6174,a(1)=631764,a(2)=63317664} ogf] A214556 5.03559 [-18*(2500*x^2-2975*x+343)/(x-1)/(100*x-1)/(10*x-1) ogf] A214580 6.13459 [-3*(5*x^5+530*x^4+3482*x^3+3936*x^2+801*x+14)/(x-1)^7 ogf] A214596 4.31697 [-(x^11-2*x^9+23*x^7+60*x^6+87*x^5+86*x^4+84*x^3+56*x^2+23*x+2)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A214615 12.5240 [-(-x+1)/(-x^2-1) lgdegf] A214615 35.7731 [-(-x+1)/(-x^2-1) lgdegf] A214615 4.40846 [{(n^2+4*n+4)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=0} ogf] A214616 10.6944 [-(25*x^2+166*x+89)/(5*x^3+21*x^2-17*x-9) lgdogf] A214616 3.65176 [{(-27-9*n)*a(n+4)+(55-17*n)*a(n+3)+(187+21*n)*a(n+2)+(25+5*n)*a(n+1),a(0)=0,a(1)=9,a(2)=89,a(3)=439} ogf] A214616 7.33931 [-x*(5*x^2+26*x+9)/(x-1)^7 ogf] A214624 3.37169 [{(-100*n^3-450*n^2-600*n-200)*a(n+1)+(36*n^3+306*n^2+895*n+863)*a(n+2)+(-9*n-27)*a(n+3),a(0)=1,a(1)=1,a(2)=16} ogf] A214630 6.11221 [-(2*x^9+3*x^8+6*x^7+2*x^6+6*x^5+6*x^4+2*x^3-1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A214639 6.28779 [-(-x^10+x^9+x^8+x^7-x^3-x^2-x+1)/(-x^12-x^8-x^4-1) ogf_with_Euler_transform] A214649 12.0868 [f(x)^2+f(x)*x-x^2-f(x) ogf] A214649 13.7138 [1/x-1/(5*x^2-2*x+1)^(1/2)/x lgdogf] A214649 5.02197 [{(5*n-5)*a(n)+(-2*n-1)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=-1,a(2)=1} ogf] A214656 4.97312 [x^2*(x^23+x^22+x^20+x^18+x^16+x^15+x^13+x^11+x^9+x^7+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A214659 10.7177 [x*(3*x^2+10*x+1)/(x-1)^4 ogf] A214659 12.0168 [-(6*x^2+36*x+14)/(3*x^3+7*x^2-9*x-1) lgdogf] A214659 4.00560 [{(n+3)*a(n+4)+(4+9*n)*a(n+3)+(-43-7*n)*a(n+2)+(-6-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=14,a(3)=53} ogf] A214659 5.25238 [-(7255136*f(x)+27074333)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-10*x^2+f(x)-x) ogf] A214660 12.1873 [-(3*x^2+34*x+17)/(3*x^3+11*x^2-13*x-1) lgdogf] A214660 13.3667 [-(3*x^2+14*x+1)/(x-1)^3 ogf] A214660 7.08323 [(972*f(x)-8197)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+14*x+1) ogf] A214660 7.26963 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=51} ogf] A214663 10.4028 [-(-4*x^3-9*x^2-2*x-1)/(-x^4-3*x^3-x^2-x+1) lgdogf] A214663 18.4938 [-1/(x^4+3*x^3+x^2+x-1) ogf] A214663 6.93518 [(347*f(x)-23)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A214668 3.69655 [{(6912*n^3+51840*n^2+125712*n+98280)*a(n+1)+(-n^3-12*n^2-41*n-42)*a(n+4),a(0)=1,a(1)=9,a(2)=108,a(3)=1458} ogf] A214672 4.42286 [x^2*(x+1)*(x^2-x+1)*(x^20+x^18-x^17+x^16+x^14+x^9+x^7+x^2+1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1)/(x-1)^2 ogf] A214675 11.8450 [-(5*x^2+34*x+15)/(5*x^3+7*x^2-11*x-1) lgdogf] A214675 12.8002 [-(5*x^2+12*x+1)/(x-1)^3 ogf] A214675 6.55879 [(51273*f(x)-373985)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+12*x+1) ogf] A214675 6.96152 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=47} ogf] A214678 7.56072 [(2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A214683 11.5986 [(x^2+x+1)/(x^3+2*x^2-x-1) ogf] A214683 6.1523 [(427*f(x)-302)*(f(x)*x^3+2*f(x)*x^2-f(x)*x-x^2-f(x)-x-1) ogf] A214683 6.37401 [{a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=-1,a(1)=0,a(2)=-3} ogf] A214683 8.42280 [-(-x^4-2*x^3-6*x^2-6*x)/(-x^5-3*x^4-2*x^3+2*x+1) lgdogf] A214684 9.78453 [-(4*x^5+x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A214699 13.4595 [-(3*x^2-6*x)/(x^3-3*x^2+1) lgdogf] A214699 18.3838 [3*x/(x^3-3*x^2+1) ogf] A214699 8.19276 [{a(n+3)-3*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=0} ogf] A214699 8.97302 [(13*f(x)+135)*(f(x)*x^3-3*f(x)*x^2+f(x)-3*x) ogf] A214701 13.8969 [(x^28-x^27+1)/(x-1)^2 ogf] A214701 8.81629 [-(-26*x^28+53*x^27-27*x^26+2)/(x^29-2*x^28+x^27+x-1) lgdogf] A214727 11.5618 [(x^2-x-1)/(x^3+x^2+x-1) ogf] A214727 6.02797 [-(11*f(x)-23)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+x+1) ogf] A214727 6.29707 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=2} ogf] A214727 8.81590 [-(-x^4+2*x^3+5*x^2+2)/(-x^5+x^3+3*x^2-1) lgdogf] A214729 12.8692 [x*(5*x-13)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A214729 5.83136 [-(429989822*f(x)-424144309)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-5*x^2-f(x)+13*x) ogf] A214729 7.31777 [-(-15*x^4+82*x^3-117*x^2+34)/(-5*x^5+28*x^4-39*x^3-15*x^2+44*x-13) lgdogf] A214731 11.6464 [(x^3+7*x-2)/(x-1)^4 ogf] A214731 4.25185 [{(19*n^2+126*n+176)*a(n+1)+(-80*n^2-491*n-629)*a(n+2)+(61*n^2+239*n+168)*a(n+3),a(0)=-2,a(1)=-1,a(2)=8} ogf] A214731 5.65915 [-(85968*f(x)+156467)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+f(x)-7*x+2) ogf] A214731 9.92098 [-(-x^3-3*x^2-21*x+1)/(-x^4+x^3-7*x^2+9*x-2) lgdogf] A214732 11.4094 [-(1031*x^2-2002*x+1021)/(x-1)^3 ogf] A214732 6.14351 [(8180*f(x)+16091131)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1031*x^2-f(x)-2002*x+1021) ogf] A214732 6.60046 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1021,a(1)=1061,a(2)=1151} ogf] A214732 9.39595 [-(-1031*x^2+1942*x-1061)/(-1031*x^3+3033*x^2-3023*x+1021) lgdogf] A214733 12.3628 [3*f(x)*x^2+f(x)*x+f(x)-x ogf] A214733 15.1960 [-(6*x+1)/(3*x^2+x+1) lgdogf] A214733 19.7137 [x/(3*x^2+x+1) ogf] A214733 9.00501 [{-a(n+2)-a(n+1)-3*a(n),a(0)=0,a(1)=1} ogf] A214772 19.9919 [x^19+x^8+x^5 ogf_with_Euler_transform] A214772 8.73738 [-1/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^8-x^6+x^4-x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A214777 4.49907 [-x*(x^22-x^21+x^17-x^16+x^15-x^14+x^13-x^12+x^11-x^10+x^9+x^8-2*x^7+x^6+x^5+3*x-6)/(x-1)^2 ogf] A214778 12.3478 [3*(2*x^2+2*x-1)/(x^3+6*x^2+3*x-1) ogf] A214778 6.54971 [-(8*f(x)-3)*(f(x)*x^3+6*f(x)*x^2+3*f(x)*x-6*x^2-f(x)-6*x+3) ogf] A214778 6.66565 [{a(n+3)-3*a(n+2)-6*a(n+1)-a(n),a(0)=3,a(1)=3,a(2)=21} ogf] A214778 7.68590 [-(2*x^4+4*x^3+3*x^2-8*x-1)/(2*x^5+14*x^4+17*x^3-2*x^2-5*x+1) lgdogf] A214779 12.7444 [-(x^2-x+1)/(x^3-3*x^2+1) ogf] A214779 7.56698 [-(-x^4+2*x^3-6*x^2+8*x-1)/(-x^5+4*x^4-4*x^3+2*x^2+x-1) lgdogf] A214779 7.72798 [(47*f(x)-9)*(f(x)*x^3-3*f(x)*x^2+x^2+f(x)-x+1) ogf] A214779 7.72798 [{-a(n+3)+3*a(n+1)-a(n),a(0)=-1,a(1)=1,a(2)=-4} ogf] A214825 12.5311 [(x^2-2*x-1)/(x^3+x^2+x-1) ogf] A214825 6.58965 [-(5*f(x)-41)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+2*x+1) ogf] A214825 6.82500 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A214825 8.30870 [-(-x^4+4*x^3+6*x^2+3)/(-x^5+x^4+2*x^3+4*x^2-x-1) lgdogf] A214826 11.3493 [(x^2-3*x-1)/(x^3+x^2+x-1) ogf] A214826 6.18133 [(f(x)+79)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+3*x+1) ogf] A214826 6.18133 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=4} ogf] A214826 7.52510 [-(-x^4+6*x^3+7*x^2+4)/(-x^5+2*x^4+3*x^3+5*x^2-2*x-1) lgdogf] A214827 11.5213 [(x^2-4*x-1)/(x^3+x^2+x-1) ogf] A214827 6.16489 [(17*f(x)+283)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+4*x+1) ogf] A214827 6.27499 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=5} ogf] A214827 7.63912 [-(-x^4+8*x^3+8*x^2+5)/(-x^5+3*x^4+4*x^3+6*x^2-3*x-1) lgdogf] A214828 11.6359 [(x^2-5*x-1)/(x^3+x^2+x-1) ogf] A214828 6.1721 [(89*f(x)+1171)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+5*x+1) ogf] A214828 6.33743 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=6} ogf] A214828 7.63217 [-(-x^4+10*x^3+9*x^2+6)/(-x^5+4*x^4+5*x^3+7*x^2-4*x-1) lgdogf] A214829 13.2306 [(x^2-6*x-1)/(x^3+x^2+x-1) ogf] A214829 6.83953 [-(29*f(x)+363)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+6*x+1) ogf] A214829 7.20593 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=7} ogf] A214829 8.58579 [-(-x^4+12*x^3+10*x^2+7)/(-x^5+5*x^4+6*x^3+8*x^2-5*x-1) lgdogf] A214830 12.6024 [(x^2-7*x-1)/(x^3+x^2+x-1) ogf] A214830 6.40622 [-(295*f(x)+3737)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+7*x+1) ogf] A214830 6.86380 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=8} ogf] A214830 8.17815 [-(-x^4+14*x^3+11*x^2+8)/(-x^5+6*x^4+7*x^3+9*x^2-6*x-1) lgdogf] A214831 12.6024 [(x^2-8*x-1)/(x^3+x^2+x-1) ogf] A214831 6.40622 [-(229*f(x)+3011)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)+8*x+1) ogf] A214831 6.86380 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=9} ogf] A214831 8.09206 [-(-x^4+16*x^3+12*x^2+9)/(-x^5+7*x^4+8*x^3+10*x^2-7*x-1) lgdogf] A214838 8.34239 [-3*(x^4+x^3-14*x^2+x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A214849 13.1449 [-(-x^2+x-1)/(-x^2+1) lgdegf] A214849 3.81864 [{(n^2+5*n+6)*a(n+1)+(n^2+4*n+3)*a(n+2)-a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=0,a(3)=2} ogf] A214849 33.7065 [-(-x^2+x-1)/(-x^2+1) lgdegf] A214855 13.1937 [-610*x/(x^2+1364*x-1) ogf] A214855 6.44343 [{-a(n+2)+1364*a(n+1)+a(n),a(0)=0,a(1)=610} ogf] A214855 8.65835 [-f(x)*x^2-1364*f(x)*x+f(x)-610*x ogf] A214863 10.4990 [(x^2+4*x+11)/(x+1)/(x-1)^2 ogf] A214863 5.42449 [-(80*f(x)+2783)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-4*x-11) ogf] A214863 5.66034 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=11,a(1)=15,a(2)=27} ogf] A214863 7.74927 [-(-x^3-9*x^2-39*x-15)/(-x^4-4*x^3-10*x^2+4*x+11) lgdogf] A214864 8.73164 [(x^4+x^3+3*x^2+x+10)/(x+1)/(x^2+1)/(x-1)^2 ogf] A214865 12.1134 [(x^4+2*x^3+2*x^2+2*x+9)/(x+1)/(x^2+1)/(x-1)^2 ogf] A214884 10.6199 [-x*(x+2)/(x^2+3*x+1)/(x-1)^2 ogf] A214884 3.48634 [{(-3*n-11)*a(n+1)+(-6*n-25)*a(n+2)+(6*n+13)*a(n+3)+(3*n+8)*a(n+4),a(0)=0,a(1)=-2,a(2)=1,a(3)=-9} ogf] A214884 5.19019 [-(7989*f(x)+94)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+f(x)*x+x^2+f(x)+2*x) ogf] A214884 8.41824 [-(3*x^3+13*x^2+15*x-1)/(x^4+4*x^3+2*x^2-5*x-2) lgdogf] A214885 10.0991 [-x*(x+3)/(x^2+3*x+1)/(x-1)^2 ogf] A214885 4.89884 [(132280*f(x)+18403)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+f(x)*x+x^2+f(x)+3*x) ogf] A214885 8.00540 [-(3*x^3+17*x^2+22*x-2)/(x^4+5*x^3+4*x^2-7*x-3) lgdogf] A214899 11.5040 [(x+2)*(x-1)/(x^3+x^2+x-1) ogf] A214899 6.26559 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=1,a(2)=2} ogf] A214899 6.32203 [(8*f(x)-9)*(f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)-x+2) ogf] A214899 7.97439 [-(x^4+2*x^3-6*x^2-2*x-1)/(x^5+2*x^4-2*x^2-3*x+2) lgdogf] A214907 4.02059 [-(x^13-2*x^11-2*x^10+x^9+6*x^8+7*x^7+8*x^6+10*x^5+10*x^4+13*x^3+10*x^2+6*x+2)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A214920 8.80359 [(2*x^8-x^7+2*x^6+2*x^4-x^3+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A214922 10.4119 [-x*(x^2-x+1)*(x^21-x^19-x^18+x^16+x^15-x^13-x^12+x^10+x^9-x^7-x^6+x^4+x^3-x-1)/(x-1)^2 ogf] A214927 10.9584 [-(3*x^4+4*x^3+x^2+2*x+1)/(x^5+x^4+x^3+x^2-x-1) lgdogf] A214927 14.817 [-f(x)*x^4-2*x^4-f(x)*x^2-2*x^3+f(x) ogf] A214927 18.4563 [-2*x^3*(x+1)/(x^4+x^2-1) ogf] A214931 7.80989 [(x^4+x^3-6*x^2+x+1)/(2*x^5+3*x^4-7*x^3+12*x^2-7*x+1) ogf] A214944 10.7620 [-(4*x^2+72*x+44)/(x^3+13*x^2-9*x-5) lgdogf] A214944 3.51734 [{(15+5*n)*a(n+4)+(-26+9*n)*a(n+3)+(-85-13*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=30,a(2)=264,a(3)=1140} ogf] A214944 7.67079 [6*x*(x^2+14*x+5)/(x-1)^6 ogf] A214945 3.52888 [{(391*n^2+3445*n+7524)*a(n+1)+(-662*n^2-3706*n-5828)*a(n+2)+(271*n^2+981*n+878)*a(n+3),a(0)=0,a(1)=42,a(2)=696} ogf] A214945 6.12911 [-6*x*(x^3+45*x^2+67*x+7)/(x-1)^7 ogf] A214945 7.85076 [-(4*x^3+228*x^2+492*x+116)/(x^4+44*x^3+22*x^2-60*x-7) lgdogf] A214946 4.79044 [12*x*(x^4+62*x^3+238*x^2+114*x+5)/(x-1)^8 ogf] A214951 12.5061 [(x+2)*(x-1)/(x^3+6*x^2+3*x-1) ogf] A214951 6.69187 [(887*f(x)-38)*(f(x)*x^3+6*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+2) ogf] A214951 6.75111 [{a(n+3)-3*a(n+2)-6*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=26} ogf] A214951 7.78444 [-(x^4+2*x^3-3*x^2-22*x-5)/(x^5+7*x^4+7*x^3-10*x^2-7*x+2) lgdogf] A214954 12.6496 [-x*(x+2)/(x^3+6*x^2+3*x-1) ogf] A214954 6.49575 [-(7*f(x)+4)*(f(x)*x^3+6*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x) ogf] A214954 6.49576 [{a(n+3)-3*a(n+2)-6*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A214954 8.68710 [-(-2*x^3-12*x^2-24*x-7)/(-x^4-8*x^3-15*x^2-5*x+2) lgdogf] A214955 4.20911 [{(32*n^2+144*n+160)*a(n+1)+(4*n^2+50*n+138)*a(n+2)+(-3*n^2-24*n-45)*a(n+3),a(0)=1,a(1)=6,a(2)=25} ogf] A214955 7.14391 [1/8*(x^2-14*x-3+(x^4+20*x^3+94*x^2+132*x+9)^(1/2))/(x^2-2*x+1) revogf] A214955 7.78685 [-4*f(x)^2*x^3+f(x)^2*x^2+8*f(x)*x^2-14*f(x)*x+3*f(x)-4*x-3 ogf] A214982 7.83456 [-(x+1)*x/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A214988 6.15987 [(x^11+x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A214992 4.68657 [(200300*f(x)+23017)*(f(x)*x^3-6*f(x)*x^2-6*f(x)*x+x^2+f(x)-5*x-7) ogf] A214992 4.89033 [{a(n+3)-6*a(n+2)-6*a(n+1)+a(n),a(0)=7,a(1)=47,a(2)=323} ogf] A214992 9.21948 [-(x^2-5*x-7)/(x+1)/(x^2-7*x+1) ogf] A214993 10.4641 [-(x^2+11*x-11)/(x-1)/(x^2+11*x-1) ogf] A214993 5.31379 [-(152635*f(x)-15872)*(f(x)*x^3+10*f(x)*x^2-12*f(x)*x+x^2+f(x)+11*x-11) ogf] A214993 5.66805 [{a(n+3)-12*a(n+2)+10*a(n+1)+a(n),a(0)=11,a(1)=121,a(2)=1341} ogf] A214993 6.24006 [-(-x^4-22*x^3-89*x^2+222*x-121)/(-x^5-21*x^4-87*x^3+241*x^2-143*x+11) lgdogf] A214994 10.4641 [-(x^2+10*x-12)/(x-1)/(x^2+11*x-1) ogf] A214994 5.23204 [-(6257994*f(x)-562709)*(f(x)*x^3+10*f(x)*x^2-12*f(x)*x+x^2+f(x)+10*x-12) ogf] A214994 5.66805 [{a(n+3)-12*a(n+2)+10*a(n+1)+a(n),a(0)=12,a(1)=134,a(2)=1487} ogf] A214994 6.24006 [-(-x^4-20*x^3-76*x^2+242*x-134)/(-x^5-20*x^4-76*x^3+239*x^2-154*x+12) lgdogf] A214995 4.83826 [(630697973*f(x)+31591767)*(f(x)*x^3-17*f(x)*x^2-17*f(x)*x+x^2+f(x)-16*x-18) ogf] A214995 5.24144 [{a(n+3)-17*a(n+2)-17*a(n+1)+a(n),a(0)=18,a(1)=322,a(2)=5779} ogf] A214995 9.67651 [-(x^2-16*x-18)/(x+1)/(x^2-18*x+1) ogf] A214996 12.2312 [-(2*x^2-2*x-3)/(x+1)/(2*x^2-4*x+1) ogf] A214996 6.54478 [{a(n+3)-3*a(n+2)-2*a(n+1)+2*a(n),a(0)=3,a(1)=11,a(2)=37} ogf] A214996 6.60269 [(85*f(x)+67)*(2*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-2*x-3) ogf] A214996 7.61332 [-(-4*x^4+8*x^3+8*x^2-8*x-11)/(-4*x^5+8*x^4+8*x^3-14*x^2-7*x+3) lgdogf] A214997 12.2846 [-(2*x^2-x-4)/(x+1)/(2*x^2-4*x+1) ogf] A214997 6.40481 [(1499*f(x)+1096)*(2*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-x-4) ogf] A214997 6.57336 [{-a(n+3)+3*a(n+2)+2*a(n+1)-2*a(n),a(0)=4,a(1)=13,a(2)=45} ogf] A214997 7.34670 [-(-4*x^4+4*x^3+16*x^2-12*x-13)/(-4*x^5+6*x^4+12*x^3-13*x^2-11*x+4) lgdogf] A214998 12.0312 [-(x^2-2*x-4)/(x+1)/(x^2-4*x+1) ogf] A214998 6.21952 [(12239*f(x)+2503)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x+x^2+f(x)-2*x-4) ogf] A214998 6.43776 [{a(n+3)-3*a(n+2)-3*a(n+1)+a(n),a(0)=4,a(1)=14,a(2)=53} ogf] A214998 7.33905 [-(-x^4+4*x^3+3*x^2-22*x-14)/(-x^5+5*x^4+x^3-19*x^2-10*x+4) lgdogf] A215004 12.0526 [-(x^3-x+1)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A215005 11.5427 [x*(x^2-x-1)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A215005 9.15890 [-(-3*x^5+x^4+9*x^3+3*x^2-3*x-3)/(-x^6+4*x^4-4*x^2+1) lgdogf] A215006 10.3835 [-x*(x^4+x^3-2*x^2+1)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A215007 10.5912 [-(2*x^2-4*x+1)/(7*x^3-14*x^2+7*x-1) ogf] A215007 5.76009 [(98*f(x)+37)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A215007 5.81108 [{a(n+3)-7*a(n+2)+14*a(n+1)-7*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A215008 10.4109 [x*(2*x-1)/(7*x^3-14*x^2+7*x-1) ogf] A215008 5.39134 [{-a(n+3)+7*a(n+2)-14*a(n+1)+7*a(n),a(0)=0,a(1)=1,a(2)=5} ogf] A215008 7.02128 [-(-28*x^3+49*x^2-28*x+5)/(-14*x^4+35*x^3-28*x^2+9*x-1) lgdogf] A215008 9.84163 [7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-2*x^2-f(x)+x ogf] A215014 5.29111 [-x*(x^32-67*x^30-x^28-9*x^27-2*x^26-8*x^15-x^14-8*x^13-x^12-8*x^11-x^10-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A215027 15.9779 [-x*(720*x^10-810*x^9-10*x-1)/(x+1)/(x-1)^2 ogf] A215028 9.81626 [-(900*x^11-990*x^10+9*x^2-19*x-1)/(x+1)/(x-1)^2 ogf] A215036 12.4298 [f(x)*x^2-2*x^2-f(x)+x+2 ogf] A215036 13.4444 [(2*x^2-x-2)/(x-1)/(x+1) ogf] A215036 7.93707 [{a(n+3)-a(n+1),a(0)=2,a(1)=1,a(2)=0} ogf] A215036 9.68790 [-(-x^2-1)/(2*x^4-x^3-4*x^2+x+2) lgdogf] A215037 11.6546 [-1/(x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A215037 6.36796 [-(-5*x^4-8*x^3+27*x^2-6*x-4)/(-x^5-2*x^4+9*x^3-3*x^2-4*x+1) lgdogf] A215038 8.70699 [-(x+1)*x/(x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A215039 3.93789 [-(559515*f(x)+45467)*(f(x)*x^4-21*f(x)*x^3+56*f(x)*x^2-x^3-21*f(x)*x-6*x^2+f(x)-x) ogf] A215039 7.72033 [x*(x^2+6*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A215040 3.43906 [-(80579664*f(x)+2463739)*(f(x)*x^4-21*f(x)*x^3+56*f(x)*x^2+x^3-21*f(x)*x-13*x^2+f(x)+13*x-1) ogf] A215040 6.66841 [-(x-1)*(x^2-12*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A215042 4.17932 [-(43065*f(x)+13231)*(f(x)*x^4-21*f(x)*x^3+56*f(x)*x^2-7*x^3-21*f(x)*x+6*x^2+f(x)-7*x) ogf] A215042 8.13867 [x*(7*x^2-6*x+7)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A215043 4.16579 [x*(2*x^4-12*x^3+97*x^2-12*x+2)/(x^2-18*x+1)/(x^2-123*x+1)/(x^2-3*x+1) ogf] A215044 4.13164 [x*(x^4+99*x^3+416*x^2+99*x+1)/(x^2-18*x+1)/(x^2-123*x+1)/(x^2-3*x+1) ogf] A215045 4.11853 [-(x-1)*(x^4-111*x^3+1046*x^2-111*x+1)/(x^2-18*x+1)/(x^2-123*x+1)/(x^2-3*x+1) ogf] A215052 18.2767 [-x^5+x^4+x^2+x+4 ogf_with_Euler_transform] A215052 6.18601 [(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A215053 18.0619 [x^6-2*x^5+2*x^2+2*x+5 ogf_with_Euler_transform] A215053 4.19452 [(x^2-x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^8 ogf] A215067 6.2873 [x^2*f(x)^3-f(x)^2*x^2+2*f(x)^2*x-2*f(x)^2-f(x)*x+3*f(x)-1 ogf] A215076 12.8188 [(4*x^2+6*x-3)/(x^3+4*x^2+3*x-1) ogf] A215076 6.62664 [-(47*f(x)+301)*(f(x)*x^3+4*f(x)*x^2+3*f(x)*x-4*x^2-f(x)-6*x+3) ogf] A215076 6.91986 [{a(n+3)-3*a(n+2)-4*a(n+1)-a(n),a(0)=3,a(1)=3,a(2)=17} ogf] A215076 7.74202 [-(4*x^4+12*x^3+3*x^2-16*x-3)/(4*x^5+22*x^4+33*x^3+2*x^2-15*x+3) lgdogf] A215082 7.34685 [x*(2*x^2+1)*(x^3+x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-1)^2 ogf] A215093 10.7191 [-1/8*exp(2*x)-1/8*exp(-2*x)+x+1/4 revegf] A215094 17.3004 [-1/2*x^2+arcsinh(x) revegf] A215095 12.3070 [-x*(2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A215095 6.15349 [(681*f(x)-1196)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+f(x)*x+2*x^2-f(x)+x) ogf] A215095 8.16280 [-(-12*x^4-12*x^3-5*x^2-2*x-3)/(-4*x^5-4*x^4-3*x^3-3*x^2+x+1) lgdogf] A215096 4.50126 [{(n+4)*a(n+1)-a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A215097 8.41789 [-(4*x^4+20*x^3+4*x^2+12*x+8)/(x^5+3*x^4-2*x^3+2*x^2-3*x-1) lgdogf] A215097 9.26913 [x*(x^2+4*x+1)/(x^2+1)/(x-1)^4 ogf] A215098 4.27537 [{(n+4)*a(n+1)+(-n-2)*a(n+2)+(n+4)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A215098 9.36738 [x*(x^3-3*x^2+x-1)/(x^2+1)/(x-1)^3 ogf] A215100 12.9790 [(x+2)*(x-1)/(x^3+4*x^2+3*x-1) ogf] A215100 6.76682 [(1575*f(x)+2042)*(f(x)*x^3+4*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+2) ogf] A215100 7.00635 [{a(n+3)-3*a(n+2)-4*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=22} ogf] A215100 8.16204 [-(x^4+2*x^3-5*x^2-14*x-5)/(x^5+5*x^4+5*x^3-6*x^2-7*x+2) lgdogf] A215108 6.67506 [x*(x+1)*(2*x+1)/(x^2+x+1)/(x^2+x-1)^2 ogf] A215109 7.80452 [(2*x+1)/(x^2+x+1)/(x^2+x-1)^2 ogf] A215112 12.9585 [(3*x+1)/(x^3+x^2-2*x-1) ogf] A215112 6.13212 [{-a(n+3)-2*a(n+2)+a(n+1)+a(n),a(0)=-1,a(1)=-1,a(2)=1} ogf] A215112 6.30089 [-(35*f(x)+38)*(f(x)*x^3+f(x)*x^2-2*f(x)*x-f(x)-3*x-1) ogf] A215112 8.58498 [-(6*x^3+6*x^2+2*x+1)/(3*x^4+4*x^3-5*x^2-5*x-1) lgdogf] A215137 10.402 [(17*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-16*x-1) ogf] A215137 11.1540 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=18} ogf] A215137 17.8035 [-(-16*x-18)/(-16*x^2+15*x+1) lgdogf] A215137 20.1257 [(16*x+1)/(x-1)^2 ogf] A215139 9.12254 [-(x+1)*(6*x^4+x^3-12*x^2-x+5)/(7*x^6-14*x^4+7*x^2-1) ogf] A215143 12.8112 [-(7*x^2-5*x+1)/(7*x^3-14*x^2+7*x-1) ogf] A215143 7.02918 [{a(n+3)-7*a(n+2)+14*a(n+1)-7*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A215143 7.3546 [-f(x)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A215143 7.42334 [-(-49*x^4+70*x^3-42*x^2+14*x-2)/(-49*x^5+133*x^4-126*x^3+56*x^2-12*x+1) lgdogf] A215144 15.8812 [-(-18*x-20)/(-18*x^2+17*x+1) lgdogf] A215144 17.9526 [(18*x+1)/(x-1)^2 ogf] A215144 9.27888 [(19*f(x)+181)*(f(x)*x^2-2*f(x)*x+f(x)-18*x-1) ogf] A215144 9.94964 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=20} ogf] A215145 14.8205 [-(-19*x-21)/(-19*x^2+18*x+1) lgdogf] A215145 16.7537 [(19*x+1)/(x-1)^2 ogf] A215145 8.6592 [(40*f(x)+401)*(f(x)*x^2-2*f(x)*x+f(x)-19*x-1) ogf] A215145 9.28516 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=21} ogf] A215146 14.0703 [-(-20*x-22)/(-20*x^2+19*x+1) lgdogf] A215146 15.9056 [(20*x+1)/(x-1)^2 ogf] A215146 8.22087 [(21*f(x)+221)*(f(x)*x^2-2*f(x)*x+f(x)-20*x-1) ogf] A215146 8.81514 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=22} ogf] A215148 12.5897 [-(-22*x-24)/(-22*x^2+21*x+1) lgdogf] A215148 14.2318 [(22*x+1)/(x-1)^2 ogf] A215148 7.35578 [(23*f(x)+265)*(f(x)*x^2-2*f(x)*x+f(x)-22*x-1) ogf] A215148 7.88753 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=24} ogf] A215149 3.65428 [{(2*n^2+10*n+12)*a(n+1)+(-3*n^2-12*n-9)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=6} ogf] A215149 4.69455 [(12*f(x)+17)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-5*x^3-6*f(x)*x+6*x^2+f(x)-2*x) ogf] A215149 7.39257 [-(20*x^3-36*x^2+24*x-6)/(10*x^4-27*x^3+27*x^2-12*x+2) lgdogf] A215149 8.57539 [x*(5*x^2-6*x+2)/(x-1)^2/(2*x-1)^2 ogf] A215171 5.97271 [-(-16*x^4+448*x^3+1952*x^2-832*x-16)/(-x^5+29*x^4+174*x^3-174*x^2-29*x+1) lgdogf] A215171 8.92655 [-(-16*x^4+448*x^3+1952*x^2-832*x-16)/(-x^5+29*x^4+174*x^3-174*x^2-29*x+1) lgdogf] A215175 5.11555 [-(x^11+2*x^9-3*x^8+2*x^7+8*x^6+2*x^5-4*x^4+x^3+2*x^2-1)/(x^4+1)/(x^2+1)/(x+1)^3/(x-1)^3 ogf] A215183 7.46517 [-(x^9-2*x^8+3*x^5-2*x^3+2*x^2+x+2)/(x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A215191 8.62921 [-(-28*x^3-68*x^2-100*x-44)/(-7*x^4-8*x^3-2*x^2+8*x+9) lgdogf] A215191 8.73194 [-2*x*(7*x^2+8*x+9)/(x+1)/(x-1)^5 ogf] A215192 4.28223 [6*x*(8*x^6+24*x^5+57*x^4+69*x^3+56*x^2+21*x+5)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A215205 6.78498 [-(x^6-x^5+3*x^4-x^3+3*x^2-x+1)/(x-1)/(x+1)^2/(x^2+1)^2 ogf] A215229 3.49458 [{(229*n^2+2262*n+5384)*a(n+1)+(82*n^2+2172*n+8006)*a(n+2)+(-311*n^2-1194*n-1144)*a(n+3),a(0)=0,a(1)=18,a(2)=408} ogf] A215229 6.04715 [6*x*(7*x^3-77*x^2-47*x-3)/(x-1)^7 ogf] A215229 7.81373 [-(-28*x^3+364*x^2+436*x+68)/(-7*x^4+84*x^3-30*x^2-44*x-3) lgdogf] A215230 3.20999 [{(139*n^2+1008*n+1565)*a(n+1)+(486*n^2+5972*n+12084)*a(n+2)+(-625*n^2-1632*n-1007)*a(n+3),a(0)=0,a(1)=0,a(2)=840} ogf] A215230 5.27924 [840*x^2*(x^2+4*x+1)/(x-1)^8 ogf] A215230 9.67861 [-(6*x^2+30*x+12)/(x^3+3*x^2-3*x-1) lgdogf] A215255 4.51372 [-(x^17+x^14+x^12+5*x^11+2*x^10-x^9+3*x^8+3*x^7+6*x^5+4*x^4+3*x^3+2*x^2+x+1)/(x^18+6*x^12+10*x^6-1) ogf] A215285 9.75245 [(5*x^8-9*x^7-3*x^6-x^4+x-1)/(x-1)^3 ogf] A215340 19.7705 [-(x^4-x)/(x+1) revogf] A215341 17.5680 [-(x^2-x)/(x^4-x+1) revogf] A215342 17.4512 [-(-x^5-x^2+x)/(x-1) revogf] A215404 10.09 [f(x)*x^3+3*f(x)*x^2-4*f(x)*x-x^2+f(x) ogf] A215404 12.7702 [-(3*x^2+6*x-4)/(x^3+3*x^2-4*x+1) lgdogf] A215404 18.1620 [x^2/(x^3+3*x^2-4*x+1) ogf] A215404 7.42991 [{-a(n+3)+4*a(n+2)-3*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A215412 8.34557 [-(2*x^7-2*x^6-2*x^5-2*x^4+2*x^3+2*x^2+2*x-2)/(-x^9-1) ogf_with_Euler_transform] A215414 7.68069 [86400*x*(365*x^3+366*x^2+365*x+365)/(x+1)/(x^2+1)/(x-1)^2 ogf] A215415 11.5997 [-x*(x^2-3*x+1)/(x-1)^2/(x^2+1) ogf] A215415 4.34247 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+(n+3)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=-1,a(2)=1,a(3)=3} ogf] A215415 6.09194 [-(11*f(x)+23)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+x^3-2*f(x)*x-3*x^2+f(x)+x) ogf] A215415 8.82064 [-(2*x^4-9*x^3+7*x^2-3*x-1)/(x^5-4*x^4+5*x^3-5*x^2+4*x-1) lgdogf] A215418 5.13327 [-(3673891*f(x)-271468582)*(-13*x^4+7*x^3+f(x)*x+10*x^2-f(x)-2*x+1) ogf] A215418 5.22745 [{a(n+5)-a(n+4),a(0)=1,a(1)=-1,a(2)=9,a(3)=16,a(4)=3} ogf] A215418 9.04432 [(13*x^4-7*x^3-10*x^2+2*x-1)/(x-1) ogf] A215448 14.6958 [(x-1)*(2*x-1)/(x^3-3*x+1) ogf] A215448 8.2859 [(57*f(x)-2)*(f(x)*x^3-3*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A215448 8.37500 [-(-2*x^4+6*x^3-9*x^2+4*x)/(-2*x^5+3*x^4+5*x^3-11*x^2+6*x-1) lgdogf] A215448 8.37500 [{a(n+3)-3*a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A215455 4.45876 [{-a(n+3)+6*a(n+2)-9*a(n+1)+a(n),a(0)=3,a(1)=6,a(2)=18} ogf] A215455 6.50928 [-(175*f(x)-137)*(f(x)*x^3-9*f(x)*x^2+6*f(x)*x+9*x^2-f(x)-12*x+3) ogf] A215455 8.12645 [-3*(x-1)*(3*x-1)/(x^3-9*x^2+6*x-1) ogf] A215458 11.5556 [-x*(2*x^2-1)/(x-1)/(2*x-1)/(2*x^2-x+1) ogf] A215458 5.8226 [(756*f(x)+947)*(4*f(x)*x^4-8*f(x)*x^3+7*f(x)*x^2+2*x^3-4*f(x)*x+f(x)-x) ogf] A215459 9.78692 [-(x^2+1)*(2*x^5-2*x^3-1)/(x-1)^2 ogf] A215465 4.40011 [-(2475*f(x)-248)*(f(x)*x^4-10*f(x)*x^3+23*f(x)*x^2+x^3-10*f(x)*x+f(x)-x) ogf] A215465 8.86493 [-x*(x-1)*(x+1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A215466 4.24455 [(11*f(x)-5)*(f(x)*x^4-10*f(x)*x^3+23*f(x)*x^2-x^3-10*f(x)*x+4*x^2+f(x)-x) ogf] A215466 7.65136 [x*(x^2-4*x+1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A215472 16.5611 [-(-10*x-14)/(x^2-1) ogf_with_Euler_transform] A215472 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/4*Pi)*Pi^(5/2)*2^(3/4)/GAMMA(3/4)^10 A215484 14.3181 [-7*f(x)*x^3-21*f(x)*x^2-9*x^2+f(x) ogf] A215484 15.5314 [-(-21*x^2-42*x)/(-7*x^3-21*x^2+1) lgdogf] A215484 21.8180 [-9*x^2/(7*x^3+21*x^2-1) ogf] A215484 9.85328 [{-a(n+3)+21*a(n+1)+7*a(n),a(0)=0,a(1)=0,a(2)=9} ogf] A215492 13.9485 [-3*x*(2*x+1)/(7*x^3+21*x^2-1) ogf] A215492 8.01296 [{a(n+3)-21*a(n+1)-7*a(n),a(0)=0,a(1)=3,a(2)=6} ogf] A215492 8.09911 [(462*f(x)+85)*(7*f(x)*x^3+21*f(x)*x^2+6*x^2-f(x)+3*x) ogf] A215492 8.75835 [-(-28*x^3-63*x^2-42*x-2)/(-14*x^4-49*x^3-21*x^2+2*x+1) lgdogf] A215493 13.0129 [x*(3*x-1)/(7*x^3-14*x^2+7*x-1) ogf] A215493 6.73881 [{-a(n+3)+7*a(n+2)-14*a(n+1)+7*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A215493 8.67525 [-(42*x^3-63*x^2+28*x-4)/(21*x^4-49*x^3+35*x^2-10*x+1) lgdogf] A215493 8.77612 [-7*f(x)*x^3+14*f(x)*x^2-7*f(x)*x+3*x^2+f(x)-x ogf] A215494 11.5176 [-7*(x-1)*(3*x-1)/(7*x^3-14*x^2+7*x-1) ogf] A215494 6.19431 [-(7*f(x)+16)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+21*x^2-f(x)-28*x+7) ogf] A215494 6.40977 [{-a(n+3)+7*a(n+2)-14*a(n+1)+7*a(n),a(0)=7,a(1)=21,a(2)=70} ogf] A215494 7.02023 [-(-21*x^4+56*x^3-56*x^2+22*x-3)/(-21*x^5+70*x^4-84*x^3+45*x^2-11*x+1) lgdogf] A215495 13.7285 [(x^5+x^4+2*x^3+x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A215500 10.2478 [-2*(x-2)*(2*x-1)*(x+1)/(x^2-3*x+1)/(x^2-x-1) ogf] A215500 5.63627 [(15*f(x)+236)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2+4*x^3+2*f(x)*x-6*x^2-f(x)-6*x+4) ogf] A215502 5.3355 [-(9*f(x)-5)*(4*f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-2*x^3-f(x)*x+12*x^2+f(x)+3*x-4) ogf] A215502 9.71336 [(2*x^3-12*x^2-3*x+4)/(2*x+1)/(x-1)/(2*x^2+2*x-1) ogf] A215503 6.05592 [-(5*x^6+2*x^5-51*x^4-20*x^3+45*x^2+6*x-7)/(x+1)/(x^2-2*x-1)/(x^4-4*x^3-2*x^2+4*x-1) ogf] A215510 12.2754 [7*x*(2*x-1)/(7*x^3-14*x^2+7*x-1) ogf] A215510 6.40927 [{-a(n+3)+7*a(n+2)-14*a(n+1)+7*a(n),a(0)=0,a(1)=7,a(2)=35} ogf] A215510 8.32468 [7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-14*x^2-f(x)+7*x ogf] A215510 8.42149 [-(28*x^3-49*x^2+28*x-5)/(14*x^4-35*x^3+28*x^2-9*x+1) lgdogf] A215512 12.6733 [(x^2+2*x-1)/(x^3-6*x^2+5*x-1) ogf] A215512 6.78133 [(161*f(x)+44)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x-x^2-f(x)-2*x+1) ogf] A215512 6.90241 [{a(n+3)-5*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A215512 7.80879 [-(x^4+4*x^3-20*x^2+14*x-3)/(x^5-4*x^4-8*x^3+15*x^2-7*x+1) lgdogf] A215524 15.9682 [(2*ln(x+1)+1)*(x+1) lgdegf] A215524 42.3537 [(2*ln(x+1)+1)*(x+1) lgdegf] A215537 10.5224 [-(-6*x^3+18*x^2-27*x+17)/(6*x^4-3*x^3-36*x^2+58*x-25) lgdogf] A215537 14.3640 [(6*x^3+3*x^2-33*x+25)/(x-1)^2 ogf] A215537 7.66890 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=25,a(1)=17,a(2)=12,a(3)=13} ogf] A215537 8.45728 [(31*f(x)+1227)*(f(x)*x^2-6*x^3-2*f(x)*x-3*x^2+f(x)+33*x-25) ogf] A215543 4.80573 [{(-227*n^2-617*n)*a(n)+(1786*n^2+6682*n+4896)*a(n+1)+(-1559*n^2-2069*n-510)*a(n+2),a(0)=0,a(1)=5} ogf] A215543 5.48305 [(1215*f(x)+11348)*(f(x)*x^4-4*f(x)*x^3-2*x^4+6*f(x)*x^2+8*x^3-4*f(x)*x-28*x^2+f(x)-5*x) ogf] A215543 9.49970 [-(-2*x^3+10*x^2-68*x-48)/(-2*x^4+10*x^3-36*x^2+23*x+5) lgdogf] A215543 9.96310 [x*(2*x^3-8*x^2+28*x+5)/(x-1)^4 ogf] A215544 7.24731 [-(-3*x^4+18*x^3+120*x^2+870*x+275)/(-3*x^5+18*x^4+10*x^3+180*x^2-191*x-14) lgdogf] A215544 7.66542 [x*(3*x^4-15*x^3-25*x^2-205*x-14)/(x-1)^5 ogf] A215545 6.00325 [x*(4*x^5-24*x^4+256*x^3+1461*x^2+1386*x+42)/(x-1)^6 ogf] A215546 4.94714 [x*(5*x^6-35*x^5-609*x^4-11921*x^3-24892*x^2-9072*x-132)/(x-1)^7 ogf] A215547 4.25274 [x*(6*x^7-48*x^6+2808*x^5+83196*x^4+355384*x^3+323184*x^2+58584*x+429)/(x-1)^8 ogf] A215548 3.55194 [x*(7*x^8-63*x^7-9615*x^6-572643*x^5-4331133*x^4-7786221*x^3-3699621*x^2-376497*x-1430)/(x-1)^9 ogf] A215560 12.2660 [(46*x^2+6*x-3)/(x^3+46*x^2+3*x-1) ogf] A215560 6.08473 [-(187421*f(x)-186326)*(f(x)*x^3+46*f(x)*x^2+3*f(x)*x-46*x^2-f(x)-6*x+3) ogf] A215560 6.71965 [{a(n+3)-3*a(n+2)-46*a(n+1)-a(n),a(0)=3,a(1)=3,a(2)=101} ogf] A215560 6.96180 [-(46*x^4+12*x^3+129*x^2-184*x-3)/(46*x^5+2122*x^4+411*x^3-166*x^2-15*x+3) lgdogf] A215569 11.8169 [-7*x*(x+2)/(x^3+46*x^2+3*x-1) ogf] A215569 6.11575 [{a(n+3)-3*a(n+2)-46*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=49} ogf] A215569 6.16987 [-(f(x)+4)*(f(x)*x^3+46*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+14*x) ogf] A215569 8.20229 [-(-2*x^3-52*x^2-184*x-7)/(-x^4-48*x^3-95*x^2-5*x+2) lgdogf] A215572 12.5137 [(x+2)*(x-1)/(x^3+46*x^2+3*x-1) ogf] A215572 5.87766 [-(3302852007*f(x)-68462998)*(f(x)*x^3+46*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+2) ogf] A215572 6.74653 [{a(n+3)-3*a(n+2)-46*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=106} ogf] A215572 7.60638 [-(x^4+2*x^3+37*x^2-182*x-5)/(x^5+47*x^4+47*x^3-90*x^2-7*x+2) lgdogf] A215573 7.55574 [x*(x^8+2*x^7+2*x^6+x^4+2*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A215575 11.3788 [(7*x^2-14*x+3)/(7*x^3+7*x^2-7*x+1) ogf] A215575 6.08178 [-(f(x)-3)*(7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x-7*x^2+f(x)+14*x-3) ogf] A215575 6.24323 [{a(n+3)-7*a(n+2)+7*a(n+1)+7*a(n),a(0)=3,a(1)=7,a(2)=35} ogf] A215575 6.53227 [-(-49*x^4+196*x^3-14*x^2-28*x+7)/(-49*x^5+49*x^4+126*x^3-126*x^2+35*x-3) lgdogf] A215576 11.9363 [-f(x)^2*x^3-f(x)^2*x-x^2+f(x)-1 ogf] A215580 10.0801 [-(4*x^5-9*x^4+14*x^3-24*x^2+4*x+5)/(2*x^6-7*x^5+5*x^4-5*x^2+7*x-2) lgdogf] A215580 17.5162 [-(2*x^2-x+2)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A215580 8.83047 [-(7520*f(x)-3681)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x+2*x^2-f(x)-x+2) ogf] A215594 9.35622 [-(2*x^8-x^7+2*x^5+2*x^3-x+2)/(-x^10+1) ogf_with_Euler_transform] A215595 15.5074 [-x^2/(26*x-1)/(x^2-26*x+1) ogf] A215595 6.12133 [{a(n+3)-52*a(n+2)+677*a(n+1)-26*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A215595 8.20979 [26*f(x)*x^3-677*f(x)*x^2+52*f(x)*x+x^2-f(x) ogf] A215595 9.55934 [-(78*x^2-1354*x+52)/(26*x^3-677*x^2+52*x-1) lgdogf] A215596 11.1128 [-(-4*x^3-x^2-1)/(x^4-1) ogf_with_Euler_transform] A215596 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/8*Pi)*Pi*2^(5/8)/GAMMA(3/4)^4 A215597 11.0299 [-(4*x^3+4*x^2+3*x+4)/(-x^4+1) ogf_with_Euler_transform] A215597 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi*2^(1/8)/GAMMA(3/4)^4 A215598 10.9174 [-(-4*x^3+3*x^2-8*x+3)/(x^4-1) ogf_with_Euler_transform] A215598 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi*2^(1/8)/GAMMA(3/4)^4 A215600 12.6232 [-(8*x^3+8*x^2+6*x+8)/(-x^4+1) ogf_with_Euler_transform] A215600 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*Pi^2*2^(1/4)/GAMMA(3/4)^8 A215601 99.9999 Evaluated at exp(-Pi) 3/8*exp(1/4*Pi)*Pi^2*2^(1/4)/GAMMA(3/4)^8 A215602 12.7293 [-(-2*x^4+2*x^3-12*x^2+12*x+3)/(-2*x^5+5*x^4+5*x-2) lgdogf] A215602 17.1115 [(2*x^2-x+2)/(x^2-3*x+1)/(x+1) ogf] A215602 9.23717 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=12} ogf] A215602 9.23719 [(25*f(x)+22)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)+x-2) ogf] A215626 5.70352 [(x^6-7*x^5+15*x^4-4*x^3-19*x^2+14*x+1)/(x-1)^8 ogf] A215627 5.03949 [-(5*x^6-28*x^5+53*x^4-27*x^3-24*x^2+21*x+1)/(x-1)^9 ogf] A215628 4.40267 [-(4*x^7-34*x^6+110*x^5-161*x^4+83*x^3+30*x^2-32*x-1)/(x-1)^10 ogf] A215634 5.18882 [{-a(n+3)-6*a(n+2)-9*a(n+1)-3*a(n),a(0)=3,a(1)=-6,a(2)=18} ogf] A215634 5.23516 [(f(x)+3)*(3*f(x)*x^3+9*f(x)*x^2+6*f(x)*x-9*x^2+f(x)-12*x-3) ogf] A215634 9.45705 [3*(x+1)*(3*x+1)/(3*x^3+9*x^2+6*x+1) ogf] A215635 6.59168 [3*(2*x+1)*(3*x+1)*(x+1)*(x^2+4*x+1)/(2*x^2+4*x+1)/(x^4+16*x^3+20*x^2+8*x+1) ogf] A215636 7.66853 [-3*x^3*(x+1)*(3*x+1)/(2*x^2+4*x+1)/(x^4+16*x^3+20*x^2+8*x+1) ogf] A215645 2.98239 [-(f(x)*x-f(x)+1)^3 ogf] A215646 11.1407 [x*(x^2+7*x+3)/(x-1)^4 ogf] A215646 12.3223 [-(2*x^2+23*x+19)/(x^3+6*x^2-4*x-3) lgdogf] A215646 4.08679 [{(9+3*n)*a(n+4)+(-11+4*n)*a(n+3)+(-29-6*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=3,a(2)=19,a(3)=59} ogf] A215646 5.42182 [-(6805403*f(x)+23415340)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-7*x^2+f(x)-3*x) ogf] A215661 13.5530 [-(-2*x^3-x^2+x)/(-2*x-1) revogf] A215661 9.1527 [2*x^2*f(x)^3+f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A215664 13.7728 [-3*(x-1)*(x+1)/(x^3-3*x^2+1) ogf] A215664 7.84900 [{-a(n+3)+3*a(n+1)-a(n),a(0)=3,a(1)=0,a(2)=6} ogf] A215664 8.0215 [(35*f(x)-41)*(f(x)*x^3-3*f(x)*x^2+3*x^2+f(x)-3) ogf] A215664 9.12446 [-(x^4-3*x^2+4*x)/(x^5-3*x^4-x^3+4*x^2-1) lgdogf] A215665 13.4835 [-3*(x+1)*x/(x^3-3*x^2+1) ogf] A215665 7.68414 [-(f(x)-3)*(f(x)*x^3-3*f(x)*x^2+3*x^2+f(x)+3*x) ogf] A215665 7.68414 [{-a(n+3)+3*a(n+1)-a(n),a(0)=0,a(1)=-3,a(2)=-3} ogf] A215665 9.92535 [-(-2*x^3+6*x+1)/(-x^4+2*x^3+3*x^2-x-1) lgdogf] A215666 13.3263 [3*x*(2*x-1)/(x^3-3*x^2+1) ogf] A215666 7.59456 [-(f(x)+2)*(f(x)*x^3-3*f(x)*x^2-6*x^2+f(x)+3*x) ogf] A215666 7.59457 [{-a(n+3)+3*a(n+1)-a(n),a(0)=0,a(1)=-3,a(2)=6} ogf] A215666 8.82869 [-(4*x^3-9*x^2+6*x-2)/(2*x^4-7*x^3+3*x^2+2*x-1) lgdogf] A215687 3.81319 [{(2210*n^2+14137*n+19434)*a(n+1)+(-7834*n^2-47089*n-65616)*a(n+2)+(5624*n^2+19296*n+16096)*a(n+3),a(0)=0,a(1)=16,a(2)=174} ogf] A215687 8.47827 [-2*x*(3*x^3-10*x^2+47*x+8)/(x-1)^5 ogf] A215687 9.16043 [-(-6*x^3+21*x^2-168*x-87)/(-3*x^4+13*x^3-57*x^2+39*x+8) lgdogf] A215688 5.06326 [-4*x*(8*x^6-41*x^5+105*x^4+181*x^3+1925*x^2+1419*x+48)/(x-1)^7 ogf] A215694 16.0440 [-(3*x^2-3*x+1)/(x^3-6*x^2+5*x-1) ogf] A215694 8.51032 [-(7*f(x)-4)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A215694 8.73828 [{a(n+3)-5*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A215694 9.88573 [-(3*x^4-6*x^3+6*x^2-6*x+2)/(3*x^5-21*x^4+34*x^3-24*x^2+8*x-1) lgdogf] A215695 15.3685 [-(4*x-1)*(x-1)/(x^3-6*x^2+5*x-1) ogf] A215695 8.15199 [-(f(x)-1)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-5*x+1) ogf] A215695 8.44576 [{a(n+3)-5*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-2} ogf] A215695 9.56611 [-(4*x^4-10*x^3+13*x^2-4*x)/(4*x^5-29*x^4+51*x^3-35*x^2+10*x-1) lgdogf] A215704 14.0612 [(3*ln(x+1)+1)*(x+1)^2 lgdegf] A215704 33.5599 [(3*ln(x+1)+1)*(x+1)^2 lgdegf] A215706 13.9690 [(4*ln(x+1)+1)*(x+1)^3 lgdegf] A215706 33.3447 [(4*ln(x+1)+1)*(x+1)^3 lgdegf] A215716 12.0716 [-(x^3+x^2+x+1)/(x^5-1) lgdegf] A215716 7.95932 [-(11*x^10-55*x^5+50)/(x-1)/(6*x^10-45*x^5+50) egf] A215718 4.53770 [(4*x^13-28*x^12-28*x^11-28*x^10-28*x^9+56*x^8+56*x^7-56*x^6-147*x-147)/(24*x^13-63*x^9+91*x^7-56*x^6+147*x^2-147) egf] A215718 9.61275 [-(x^5+x^4+x^3+x^2+x+1)/(x^7-1) lgdegf] A215748 4.28438 [-(f(x)-1)*(6*f(x)*x-f(x)+1)^2 ogf] A215773 11.6898 [-(-40*x^2-40*x-25)/(-8*x^3+4*x^2+x+3) lgdogf] A215773 3.89661 [{(-9-3*n)*a(n+4)+(23-n)*a(n+3)+(36-4*n)*a(n+2)+(40+8*n)*a(n+1),a(0)=0,a(1)=3,a(2)=25,a(3)=120} ogf] A215773 7.75463 [-x*(8*x^2+4*x+3)/(x-1)^7 ogf] A215774 3.63860 [{(-6307*n^2-97729*n-359322)*a(n+1)+(11504*n^2+87304*n-105556)*a(n+2)+(-5197*n^2+1545*n+23878)*a(n+3),a(0)=0,a(1)=12,a(2)=127} ogf] A215774 5.77251 [-x*(43*x^3+31*x^2+19*x+12)/(x-1)^9 ogf] A215774 8.34504 [-(258*x^3+346*x^2+214*x+127)/(43*x^4-12*x^3-12*x^2-7*x-12) lgdogf] A215784 5.60341 [-(517780*f(x)+3177)*(3*f(x)*x^4-16*f(x)*x^2+3*x^3+4*x^2+f(x)-2*x-1) ogf] A215784 9.67861 [-(3*x+1)*(x^2+x-1)/(3*x^4-16*x^2+1) ogf] A215785 6.37801 [-(2*x^5-2*x^4+43*x^3+19*x^2-5*x-1)/(2*x^6+99*x^4-61*x^2+1) ogf] A215786 3.88255 [-(112*x^7-252*x^6-2092*x^5-30*x^4-428*x^3-162*x^2+5*x+1)/(140*x^8-3336*x^6-3439*x^4+272*x^2-1) ogf] A215794 4.97013 [(6829*f(x)-66)*(7*f(x)*x^3-35*f(x)*x^2+21*f(x)*x+7*x^2-f(x)-10*x-1) ogf] A215794 5.01260 [{-a(n+3)+21*a(n+2)-35*a(n+1)+7*a(n),a(0)=-1,a(1)=-31,a(2)=-609} ogf] A215794 9.16366 [-(7*x^2-10*x-1)/(7*x^3-35*x^2+21*x-1) ogf] A215814 5.04069 [(1132011312*f(x)+1426543728334699)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2602927*x^2-f(x)-4963298*x+2481403) ogf] A215814 5.93252 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2481403,a(1)=2480911,a(2)=2601451} ogf] A215814 7.27573 [-(-2602927*x^2+4720742*x-2480911)/(-2602927*x^3+7566225*x^2-7444701*x+2481403) lgdogf] A215814 9.76237 [-(2602927*x^2-4963298*x+2481403)/(x-1)^3 ogf] A215817 6.19573 [-(2*x-1)*(6*x^4-40*x^3+58*x^2-24*x+3)/(x^6-24*x^5+86*x^4-104*x^3+53*x^2-12*x+1) ogf] A215827 8.08570 [(3*x^6+962*x^5+8707*x^4+11942*x^3+3545*x^2+352*x+4)/(x-1)^2 ogf] A215828 6.43849 [(x^8-5*x^7+25*x^6+6*x^5-22*x^4+62*x^3-3*x^2-x-3)/(x^9+25*x^6+31*x^3-1) ogf] A215829 10.7429 [3*(3*x+1)*(x-1)/(3*x^3+9*x^2-3*x-1) ogf] A215829 5.79927 [{-a(n+3)-3*a(n+2)+9*a(n+1)+3*a(n),a(0)=3,a(1)=-3,a(2)=27} ogf] A215829 5.79928 [(47*f(x)-57)*(3*f(x)*x^3+9*f(x)*x^2-3*f(x)*x-9*x^2-f(x)+6*x+3) ogf] A215829 6.48829 [-(9*x^4-12*x^3-18*x^2-12*x+1)/(9*x^5+21*x^4-30*x^3-6*x^2+5*x+1) lgdogf] A215831 6.38901 [(3*x^8-11*x^7+35*x^6-30*x^5-26*x^4-22*x^3-9*x^2+x-1)/(x^9+105*x^6-33*x^3-1) ogf] A215862 10.9683 [x*(x-4)/(x-1)^5 ogf] A215862 16.7882 [-(-4*x+19)/(-x^2+5*x-4) lgdogf] A215862 5.44781 [{(-8-4*n)*a(n+3)+(24+5*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=4,a(2)=19} ogf] A215863 12.4261 [-(-30*x^2+135)/(-6*x^3+8*x^2+17*x-19) lgdogf] A215863 3.92084 [{(-57-19*n)*a(n+4)+(169+17*n)*a(n+3)+(8+8*n)*a(n+2)+(-30-6*n)*a(n+1),a(0)=0,a(1)=19,a(2)=135,a(3)=540} ogf] A215863 7.91857 [x*(6*x^2-2*x-19)/(x-1)^7 ogf] A215864 5.83762 [x*(7*x^3+59*x^2-34*x-137)/(x-1)^9 ogf] A215864 8.25961 [-(42*x^3+434*x^2-154*x-1267)/(7*x^4+52*x^3-93*x^2-103*x+137) lgdogf] A215865 4.19428 [-x*(194*x^4-713*x^3-5*x^2+113*x+1356)/(x-1)^11 ogf] A215866 5.81697 [(464652*f(x)-155801)*(3*f(x)*x^4-16*f(x)*x^2+2*x^3+4*x^2+f(x)-5*x-1) ogf] A215866 9.87121 [-(x-1)*(2*x^2+6*x+1)/(3*x^4-16*x^2+1) ogf] A215867 6.24641 [-(2*x^5+28*x^4+43*x^3+32*x^2-5*x-1)/(2*x^6+99*x^4-61*x^2+1) ogf] A215868 3.96650 [-(120*x^7-252*x^6-566*x^5-30*x^4-807*x^3-162*x^2+14*x+1)/(140*x^8-3336*x^6-3439*x^4+272*x^2-1) ogf] A215877 5.83956 [-x*(x^2-4*x+1)*(2*x-1)^2/(x^6-24*x^5+86*x^4-104*x^3+53*x^2-12*x+1) ogf] A215878 14.9951 [-10*(3*x^2+2*x+1)/(6*x^2-1)/(x^2+1) ogf] A215878 7.43558 [-(36*x^5+36*x^4+24*x^3+10*x^2+16*x+2)/(18*x^6+12*x^5+21*x^4+10*x^3+2*x^2-2*x-1) lgdogf] A215878 8.82063 [(1389*f(x)+5180)*(6*f(x)*x^4+5*f(x)*x^2+30*x^2-f(x)+20*x+10) ogf] A215885 10.3234 [-(4*x^3-3*x^2+1)/(2*x^4-x^3-6*x^2+5*x-1) lgdogf] A215885 17.4351 [-3*(2*x-1)/(x^3-3*x+1) ogf] A215885 8.34661 [{a(n+3)-3*a(n+2)+a(n),a(0)=3,a(1)=3,a(2)=9} ogf] A215885 8.8155 [-(f(x)-1)*(f(x)*x^3-3*f(x)*x+f(x)+6*x-3) ogf] A215898 6.12402 [-(x^2+x+1)*(x^4-2*x^3+4*x^2-2*x+1)/(x-1)/(x+1)^2/(x^2+1)^2 ogf] A215915 9.23496 [-(-2*x^9+x^8+3*x^7+x^6-3*x^4-x^3+x+1)/(-3*x^10+2*x^9+4*x^8-x^6-4*x^5+x^3+x^2+x-1) lgdegf] A215917 14.2596 [-3*x*(x+2)/(x^3-3*x-1) ogf] A215917 7.35492 [-(28*f(x)-55)*(f(x)*x^3-3*f(x)*x+3*x^2-f(x)+6*x) ogf] A215917 7.43317 [{-a(n+3)-3*a(n+2)+a(n),a(0)=0,a(1)=6,a(2)=-15} ogf] A215917 9.19366 [-(2*x^3+6*x^2-5)/(x^4+2*x^3-3*x^2-7*x-2) lgdogf] A215919 11.0908 [f(x)*x^3-3*f(x)*x+3*x^2-f(x)-3*x ogf] A215919 15.1649 [-3*x*(x-1)/(x^3-3*x-1) ogf] A215919 7.90512 [{-a(n+3)-3*a(n+2)+a(n),a(0)=0,a(1)=-3,a(2)=12} ogf] A215919 9.77738 [-(-2*x^3+3*x^2-4)/(-x^4+x^3+3*x^2-2*x-1) lgdogf] A215928 11.1294 [-f(x)*x^2-2*f(x)*x+x^2+f(x)+x-1 ogf] A215928 13.1698 [-(-x^2-1)/(x^4+3*x^3-3*x+1) lgdogf] A215928 14.9092 [(x^2+x-1)/(x^2+2*x-1) ogf] A215928 7.74695 [{a(n+3)-2*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2} ogf] A215931 15.3908 [(-3*x+(4*x^2+1)^(1/2))*x revogf] A215931 4.05912 [{(-16*n^2-64*n-60)*a(n+1)+(12*n^2+66*n+90)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=16} ogf] A215936 13.4052 [-(x^2+3*x+1)/(x^2-2*x-1) ogf] A215936 7.03443 [{a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=0} ogf] A215936 7.32449 [-(f(x)-1)*(f(x)*x^2-2*f(x)*x+x^2-f(x)+3*x+1) ogf] A215936 9.86774 [-(5*x^2+4*x+1)/(x^4+x^3-6*x^2-5*x-1) lgdogf] A215945 4.23679 [-(23087*f(x)+4060)*(3*f(x)*x^3-27*f(x)*x^2+33*f(x)*x-3*x^2-f(x)-6*x-3) ogf] A215945 4.41481 [{a(n+3)-33*a(n+2)+27*a(n+1)-3*a(n),a(0)=-3,a(1)=-105,a(2)=-3387} ogf] A215945 6.25431 [-(-3*x^3-9*x^2+87*x-35)/(-3*x^4+24*x^3-6*x^2-32*x+1) lgdogf] A215945 8.33908 [3*(x+1)^2/(3*x^3-27*x^2+33*x-1) ogf] A215948 10.3303 [-3*(9*x^2-22*x+1)/(3*x^3-27*x^2+33*x-1) ogf] A215948 5.5956 [(2965*f(x)+498)*(3*f(x)*x^3-27*f(x)*x^2+33*f(x)*x+27*x^2-f(x)-66*x+3) ogf] A215948 5.69043 [{-a(n+3)+33*a(n+2)-27*a(n+1)+3*a(n),a(0)=3,a(1)=33,a(2)=1035} ogf] A215948 6.04929 [-(-27*x^4+132*x^3-306*x^2+36*x-11)/(-27*x^5+309*x^4-894*x^3+762*x^2-55*x+1) lgdogf] A215960 4.60625 [-2*(x^6+1086*x^5+30339*x^4+129844*x^3+129879*x^2+30318*x+1093)/(x-1)^7 ogf] A215973 8.67099 [f(x)^2*x^2-f(x)^2*x-2*f(x)*x+f(x)+x-1 ogf] A215973 8.77936 [-1/2*x^2+x+1/2-1/2*(x^4-4*x^3+6*x^2+1)^(1/2) revogf] A216034 5.77827 [-(x^8+3*x^7+11*x^6+26*x^5-10*x^4+70*x^3-11*x^2-x-1)/(x^9-33*x^6-105*x^3+1) ogf] A216046 14.1493 [-(-2*x^2+2)/(x^4+x^2+1) ogf_with_Euler_transform] A216073 12.1676 [(x+1)*(x^2+6*x+1)/(x^4-10*x^2+1) ogf] A216073 7.23479 [-(2970*f(x)+857)*(f(x)*x^4-10*f(x)*x^2-x^3-7*x^2+f(x)-7*x-1) ogf] A216099 5.65794 [{-a(n+4)+10*a(n+3),a(0)=4,a(1)=20,a(2)=100,a(3)=500} ogf] A216099 6.20548 [-(2500*x^3-125*x^2-50*x+5)/(-1250*x^4-125*x^3-25*x^2+15*x-1) lgdogf] A216099 6.48438 [(f(x)-4)*(-500*x^3+10*f(x)*x-100*x^2-f(x)-20*x+4) ogf] A216099 9.78153 [4*(125*x^3+25*x^2+5*x-1)/(10*x-1) ogf] A216100 5.12847 [-(91*x^9+81*x^8+71*x^7+61*x^6+51*x^5+41*x^4+31*x^3+21*x^2+11*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A216106 4.52727 [(5000265*f(x)+1517231942)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+64*x^2+f(x)-268*x-96) ogf] A216106 9.17858 [-(-32*x^2+169*x+163)/(-16*x^3+83*x^2-43*x-24) lgdogf] A216106 9.17858 [-4*(16*x^2-67*x-24)/(x-1)^4 ogf] A216107 8.19868 [-(-68*x^3+111*x^2-738*x-430)/(-34*x^4+105*x^3-291*x^2+178*x+42) lgdogf] A216107 8.19868 [-4*(34*x^3-71*x^2+220*x+42)/(x-1)^5 ogf] A216108 4.45337 [(848*f(x)+150597)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+45*x^2+f(x)-90*x-27) ogf] A216108 8.59747 [-9*(5*x^2-10*x-3)/(x-1)^4 ogf] A216108 9.10321 [-(-10*x^2+20*x+22)/(-5*x^3+15*x^2-7*x-3) lgdogf] A216109 7.48987 [-(-66*x^3+165*x^2-180*x-159)/(-33*x^4+121*x^3-177*x^2+75*x+14) lgdogf] A216109 7.57041 [-3*(33*x^3-88*x^2+89*x+14)/(x-1)^5 ogf] A216110 4.46256 [(47616*f(x)+3923645)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+9*x^2+f(x)-90*x-27) ogf] A216110 8.86228 [-9*(x^2-10*x-3)/(x-1)^4 ogf] A216110 9.39137 [-(-2*x^2+28*x+22)/(-x^3+11*x^2-7*x-3) lgdogf] A216111 7.94846 [-3*(9*x^3-4*x^2+89*x+14)/(x-1)^5 ogf] A216111 8.12509 [-(-18*x^3-15*x^2-348*x-159)/(-9*x^4+13*x^3-93*x^2+75*x+14) lgdogf] A216112 4.58422 [(976*f(x)+70281)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-27*x^2+f(x)-90*x-27) ogf] A216112 8.78643 [9*(x+3)*(3*x+1)/(x-1)^4 ogf] A216112 9.58520 [-(6*x^2+36*x+22)/(3*x^3+7*x^2-7*x-3) lgdogf] A216113 8.13330 [3*(3*x^3-92*x^2-89*x-14)/(x-1)^5 ogf] A216113 8.40746 [-(-6*x^3+267*x^2+540*x+159)/(-3*x^4+95*x^3-3*x^2-75*x-14) lgdogf] A216114 10.8038 [-(-14*x^2+28*x+34)/(-7*x^3+21*x^2-9*x-5) lgdogf] A216114 3.46537 [{(-5*n-20)*a(n+4)+(7-9*n)*a(n+3)+(70+21*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=500,a(1)=3400,a(2)=9900,a(3)=21200} ogf] A216114 5.1018 [(474*f(x)+1338415)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+700*x^2+f(x)-1400*x-500) ogf] A216114 9.66657 [-100*(7*x^2-14*x-5)/(x-1)^4 ogf] A216115 8.58889 [-20*(98*x^3-265*x^2+296*x+51)/(x-1)^5 ogf] A216115 8.85729 [-(-196*x^3+501*x^2-654*x-551)/(-98*x^4+363*x^3-561*x^2+245*x+51) lgdogf] A216119 15.0767 [-(-3*x+15)/(-x^2+5*x-4) lgdegf] A216119 5.68276 [-f(x)*(12*f(x)*x^4-48*f(x)*x^3+x^4+72*f(x)*x^2-4*x^3-48*f(x)*x+12*f(x)) egf] A216119 6.10545 [{(-2+n)*a(n+1)+(-n^2-2*n)*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A216119 9.98323 [-1/12*x^3*(x-4)/(x-1)^4 egf] A216122 5.63741 [-6*(2112*x^4+10912*x^3-126044*x^2+14464*x+15783)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A216123 3.77248 [-3*(81408*x^6+1294464*x^5+4778592*x^4+5101816*x^3-6182940*x^2+879018*x+219113)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A216125 11.2585 [-f(x)*(600*x^4+f(x)*x^2+120*x^3+24*x^2-f(x)+5*x+1) ogf] A216125 14.7969 [-(600*x^4+120*x^3+24*x^2+5*x+1)/(x-1)/(x+1) ogf] A216125 9.16619 [{-a(n+5)+a(n+3),a(0)=1,a(1)=5,a(2)=25,a(3)=125,a(4)=625} ogf] A216126 8.70512 [-5*(1600*x^6+1120*x^5+624*x^4+125*x^3+25*x^2+5*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A216134 8.60427 [x*(x^3+x^2-3*x-1)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A216156 11.6217 [-10*f(x)*x+f(x)+50*x-10 ogf] A216156 13.9460 [10*(5*x-1)/(10*x-1) ogf] A216156 14.6800 [-5/(-50*x^2+15*x-1) lgdogf] A216156 7.43788 [{a(n+2)-10*a(n+1),a(0)=10,a(1)=50} ogf] A216162 6.37777 [(x^9-2*x^8+x^7-2*x^6-3*x^5+5*x^4-x^3-1)/(x-1)/(x+1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A216164 5.20311 [{-a(n+5)+10*a(n+4),a(0)=4,a(1)=4,a(2)=20,a(3)=100,a(4)=500} ogf] A216164 6.0526 [(f(x)-4)*(-500*x^4-100*x^3+10*f(x)*x-20*x^2-f(x)-36*x+4) ogf] A216164 8.72287 [4*(125*x^4+25*x^3+5*x^2+9*x-1)/(10*x-1) ogf] A216172 11.2635 [-x^2/(x^2+x+1)/(x-1)^5 ogf] A216172 15.8123 [-(-7*x^2-4*x-4)/(-x^3+1) lgdogf] A216172 32.6954 [[x^2+4] ogf_with_Euler_transform] A216172 5.07555 [{(-n-6)*a(n+1)-4*a(n+2)-4*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A216173 8.13272 [-(-10*x^4-14*x^3-19*x^2-12*x-5)/(-2*x^5-x^4-x^3+2*x^2+x+1) lgdogf] A216173 8.74486 [-(2*x^2+x+1)/(x^2+x+1)/(x-1)^5 ogf] A216175 7.99866 [-(3*x^3+4*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^5 ogf] A216178 12.7884 [(3*x^3-x-4)/(x-1)/(x+1)/(x^2+1) ogf] A216178 7.64183 [-(23*f(x)-101)*(f(x)*x^4-3*x^3-f(x)+x+4) ogf] A216179 13.8809 [-(40*x-13)/(10*x-1)/(x-1) ogf] A216179 7.01201 [-(873*f(x)-740)*(10*f(x)*x^2-11*f(x)*x+f(x)+40*x-13) ogf] A216179 7.81800 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=13,a(1)=103} ogf] A216179 8.83332 [-(-400*x^2+260*x-103)/(-400*x^3+570*x^2-183*x+13) lgdogf] A216212 11.0070 [(x^2-x-1)^2/(5*x^4-5*x^2+1) ogf] A216212 7.1107 [-(f(x)-1)*(5*f(x)*x^4-x^4-5*f(x)*x^2+2*x^3+x^2+f(x)-2*x-1) ogf] A216212 8.11625 [-(-10*x^4-10*x^3+6*x+2)/(5*x^6-5*x^5-10*x^4+5*x^3+6*x^2-x-1) lgdogf] A216239 16.7063 [-(-2*x^3+2*x^2-5*x-4)/(-2*x^3+4*x^2-5*x+3) lgdegf] A216239 9.83122 [-(-2*x^3+2*x^2-5*x-4)/(-2*x^3+4*x^2-5*x+3) lgdegf] A216243 10.5899 [(x^2+7*x-4)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A216243 6.52587 [-(20350*f(x)+21051)*(f(x)*x^4-3*f(x)*x^3+3*f(x)*x-x^2-f(x)-7*x+4) ogf] A216257 10.1446 [-(110801*x^2-195982*x+86861)/(x-1)^3 ogf] A216257 5.4346 [(627113*f(x)+79443600755)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+110801*x^2-f(x)-195982*x+86861) ogf] A216257 6.13585 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=86861,a(1)=64601,a(2)=44021} ogf] A216257 7.84376 [-(-110801*x^2+170362*x-64601)/(-110801*x^3+306783*x^2-282843*x+86861) lgdogf] A216261 5.12725 [(28*x^16-28*x^15-60*x^12+60*x^11+28*x^10+28*x^9-56*x^8-2*x^7+2*x^6+8*x^5-2*x^4-2*x^3-3*x^2+6*x+1)/(x-1)/(10*x^7-1) ogf] A216263 12.8791 [-(6*x^2-18*x+6)/(2*x^3-9*x^2+6*x-1) lgdogf] A216263 22.6255 [-1/(2*x-1)/(x^2-4*x+1) ogf] A216263 7.40835 [{a(n+3)-6*a(n+2)+9*a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=27} ogf] A216263 8.04945 [(9607*f(x)-292)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+1) ogf] A216271 15.5464 [(x-1)/(2*x-1)/(x^2-4*x+1) ogf] A216271 7.29168 [{-a(n+3)+6*a(n+2)-9*a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=21} ogf] A216271 7.49054 [-(965*f(x)+36)*(2*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-x+1) ogf] A216271 9.80905 [-(-4*x^3+15*x^2-18*x+5)/(-2*x^4+11*x^3-15*x^2+7*x-1) lgdogf] A216314 14.2069 [-(-2*x^3-2*x^2+x)/(-x-1) revogf] A216314 9.59427 [2*x^2*f(x)^3+2*f(x)^2*x+f(x)*x-f(x)+1 ogf] A216316 15.8081 [-(-8*x-2)/(-8*x^2-7*x+1) lgdogf] A216316 31.0936 [-(-8*x-2)/(-8*x^2-7*x+1) lgdogf] A216316 4.95941 [{(n+3)*a(n+3)+(-16-7*n)*a(n+2)+(-16-8*n)*a(n+1),a(0)=1,a(1)=2,a(2)=13} ogf] A216316 9.25353 [-8*f(x)^3*x^3-15*x^2*f(x)^3-6*f(x)^3*x+f(x)^3-1 ogf] A216317 15.1549 [-(-4*x-1)/(-8*x^2-7*x+1) lgdogf] A216317 29.7872 [-(-4*x-1)/(-8*x^2-7*x+1) lgdogf] A216317 4.78575 [{(n+3)*a(n+3)+(-15-7*n)*a(n+2)+(-12-8*n)*a(n+1),a(0)=1,a(1)=1,a(2)=6} ogf] A216318 3.81717 [{(-32*n^3-24*n^2-4*n)*a(n+1)+(-164*n^3-1116*n^2-2380*n-1440)*a(n+2)+(43*n^3+303*n^2+614*n+360)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A216318 5.93473 [4*f(x)^2*x^2-4*f(x)*x^3+x^4-f(x)^2*x-3*f(x)*x^2+2*x^3+5*f(x)*x-3*x^2-f(x)+x ogf] A216357 13.9801 [-(-48*x-2)/(-64*x^2-12*x+1) lgdogf] A216357 25.9630 [-(-48*x-2)/(-64*x^2-12*x+1) lgdogf] A216357 4.57041 [{(n+3)*a(n+3)+(-26-12*n)*a(n+2)+(-112-64*n)*a(n+1),a(0)=1,a(1)=2,a(2)=38} ogf] A216358 15.6618 [-(-32*x^2+212*x+2)/(-32*x^3+353*x^2+21*x-1) lgdogf] A216358 3.27760 [{(-n-4)*a(n+4)+(65+21*n)*a(n+3)+(918+353*n)*a(n+2)+(-64-32*n)*a(n+1),a(0)=1,a(1)=2,a(2)=129,a(3)=2258} ogf] A216358 9.64814 [-(-32*x^2+212*x+2)/(-32*x^3+353*x^2+21*x-1) lgdogf] A216359 10.7453 [-f(x)^3*x-f(x)^2*x^2+f(x)^2-f(x)-x ogf] A216406 13.5906 [-(-4*x^2-6*x-4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A216414 8.24083 [x*(x^3+4*x^2+6*x+5)/(x-1)/(x+1)^4 ogf] A216434 10.1019 [f(x)^2*x^4-2*f(x)^2*x^3-2*f(x)*x+f(x)-1 ogf] A216441 5.46009 [{(n+3)*a(n)+(n+3)*a(n+1)-a(n+2),a(0)=0,a(1)=0,a(2)=6,a(3)=32} ogf] A216447 13.1834 [-(-x^4-x^2+x)/(x^4-1) revogf] A216450 10.2235 [-(3*x^2+20*x+3)/(x^3-3*x^2-10*x-1) ogf] A216450 5.23644 [-(1525*f(x)-2829)*(f(x)*x^3-3*f(x)*x^2-10*f(x)*x+3*x^2-f(x)+20*x+3) ogf] A216450 5.60071 [{a(n+3)+10*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=-10,a(2)=94} ogf] A216450 6.13411 [-(-3*x^4-40*x^3+21*x^2+12*x+10)/(-3*x^5-11*x^4+87*x^3+212*x^2+50*x+3) lgdogf] A216454 9.73198 [-f(x)^2*x^4+3*f(x)^2*x^3+3*f(x)*x-f(x)+1 ogf] A216466 6.37283 [{(-n-3)*a(n+1)+a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=3,a(4)=8} ogf] A216486 7.19813 [-x*(x^4+2*x^3-2*x^2+1)/(x^6-3*x^5-6*x^4+4*x^3+5*x^2-x-1) ogf] A216491 14.1393 [{a(n+1)-5*a(n),a(0)=12} ogf] A216491 17.8425 [-5*f(x)*x+f(x)-12 ogf] A216491 26.7636 [5/(-5*x+1) lgdogf] A216491 28.8224 [-12/(5*x-1) ogf] A216508 6.77625 [-(91*x^5-364*x^4+468*x^3-260*x^2+65*x-6)/(13*x^6-91*x^5+182*x^4-156*x^3+65*x^2-13*x+1) ogf] A216540 6.56524 [-x^2*(3*x-1)*(2*x-1)/(13*x^6-91*x^5+182*x^4-156*x^3+65*x^2-13*x+1) ogf] A216541 4.00787 [{(16*n^2+64*n+60)*a(n+1)+(4*n^2+22*n+30)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=8} ogf] A216541 9.49233 [(-1/5*x+1/5-1/5*(-4*x^2+8*x+1)^(1/2))*(x-1) revogf] A216584 3.93111 [{(-48*n^2-192*n-180)*a(n+1)+(-8*n^2-40*n-50)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=2,a(2)=18} ogf] A216589 12.6521 [-x*(9*x^19-9*x^10+10*x-11)/(x-1)^2 ogf] A216597 6.26341 [-x*(13*x^4-26*x^3+22*x^2-8*x+1)/(13*x^6-91*x^5+182*x^4-156*x^3+65*x^2-13*x+1) ogf] A216604 10.9431 [f(x)^2*x^4-f(x)^2*x^3-f(x)*x+f(x)-1 ogf] A216605 6.43108 [-(3*x^5+12*x^4-12*x^3-20*x^2+5*x+6)/(x^6-3*x^5-6*x^4+4*x^3+5*x^2-x-1) ogf] A216606 10.8378 [-(2*x^4+3*x^3+3*x^2-4*x+5)/(x-1)/(x+1)/(x^2-x+1) ogf] A216606 6.1361 [-(167*f(x)-2054)*(f(x)*x^4-f(x)*x^3+2*x^4+3*x^3+f(x)*x+3*x^2-f(x)-4*x+5) ogf] A216616 6.92875 [f(x)^3*x^4-f(x)^3*x^3-f(x)^2*x^2+f(x)*x^2-f(x)*x+f(x)-1 ogf] A216617 7.00278 [f(x)^3*x^4-f(x)^3*x^3+f(x)^2*x^2-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A216633 4.26233 [(f(x)*x-f(x)+1)^2 ogf] A216643 4.12702 [(f(x)*x-f(x)+1)^2 ogf] A216666 2.31049 [(f(x)*x-f(x)+1)^2 ogf] A216676 7.52825 [-(9*x^7+x^6-8*x^5+3*x^4+8*x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2+1) ogf] A216688 15.4013 [2*exp(x^2)*x^2+exp(x^2) lgdegf] A216688 34.2677 [2*exp(x^2)*x^2+exp(x^2) lgdegf] A216689 16.0392 [2*exp(2*x)*x+exp(2*x) lgdegf] A216689 39.1190 [2*exp(2*x)*x+exp(2*x) lgdegf] A216699 8.45161 [-x*(9*x^7+x^6+8*x^5+8*x^4+9*x^3+8*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A216702 22.8685 [12/(-16*x+1) lgdogf] A216702 56.1897 [12/(-16*x+1) lgdogf] A216702 6.41173 [{(-n-2)*a(n+2)+(28+16*n)*a(n+1),a(0)=1,a(1)=12} ogf] A216703 21.0717 [42/(-49*x+1) lgdogf] A216703 5.90795 [{(-n-2)*a(n+2)+(91+49*n)*a(n+1),a(0)=1,a(1)=42} ogf] A216703 51.7550 [42/(-49*x+1) lgdogf] A216704 22.3656 [56/(-64*x+1) lgdogf] A216704 54.9897 [56/(-64*x+1) lgdogf] A216704 6.21266 [{(-n-2)*a(n+2)+(120+64*n)*a(n+1),a(0)=1,a(1)=56} ogf] A216705 20.2201 [72/(-81*x+1) lgdogf] A216705 49.6476 [72/(-81*x+1) lgdogf] A216705 5.61669 [{(-n-2)*a(n+2)+(153+81*n)*a(n+1),a(0)=1,a(1)=72} ogf] A216706 20.0046 [90/(-100*x+1) lgdogf] A216706 46.8701 [90/(-100*x+1) lgdogf] A216706 5.68939 [{(-n-2)*a(n+2)+(190+100*n)*a(n+1),a(0)=1,a(1)=90} ogf] A216710 7.49027 [-(x^2-3*x+1)^2/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A216711 12.5464 [-(16*x^3-8*x^2+24*x-8)/(-x^4+1) ogf_with_Euler_transform] A216711 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^4/GAMMA(3/4)^16 A216714 10.8841 [-(4*x^5-5*x^4-10*x^3+3)/(2*x^6-x^5-4*x^4-2*x^3+4*x^2+x-1) lgdogf] A216714 15.0588 [-x*(x^2-x-1)/(2*x-1)/(x^3+x^2-1) ogf] A216714 7.96584 [-(13*f(x)+5)*(2*f(x)*x^4+f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-x) ogf] A216754 8.00078 [-x*(9*x^11+x^10+x^9+7*x^8+9*x^7+4*x^6+x^5+4*x^4+9*x^3+7*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A216755 5.84281 [-(9*x^15+x^14+8*x^13+5*x^12+x^10-7*x^9+2*x^8+2*x^6+7*x^5+x^4+9*x^3+5*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8-x^4+1) ogf] A216757 12.3108 [-3*x*(x-1)/(3*x^3-9*x^2+6*x-1) ogf] A216757 6.26532 [{-a(n+3)+6*a(n+2)-9*a(n+1)+3*a(n),a(0)=0,a(1)=-3,a(2)=-15} ogf] A216757 6.49736 [(11*f(x)+8)*(3*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+3*x^2-f(x)-3*x) ogf] A216757 8.35376 [-(-6*x^3+18*x^2-18*x+5)/(-3*x^4+12*x^3-15*x^2+7*x-1) lgdogf] A216778 3.21828 [{(n^3+3*n^2+2*n)*a(n)+(n^2+3*n+2)*a(n+1)+(-n^3-3*n^2-n+2)*a(n+2)+(n^2-1)*a(n+3),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=3} ogf] A216779 3.21811 [{(-n^3-3*n^2-2*n)*a(n)+(-n^2-3*n-2)*a(n+1)+(n^3+3*n^2+n-2)*a(n+2)+(-n^2+1)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=6} ogf] A216786 20.6489 [110/(-121*x+1) lgdogf] A216786 46.4237 [110/(-121*x+1) lgdogf] A216786 6.00695 [{(-n-2)*a(n+2)+(231+121*n)*a(n+1),a(0)=1,a(1)=110} ogf] A216787 21.3259 [132/(-144*x+1) lgdogf] A216787 47.9712 [132/(-144*x+1) lgdogf] A216787 6.20390 [{(-n-2)*a(n+2)+(276+144*n)*a(n+1),a(0)=1,a(1)=132} ogf] A216788 18.6384 [156/(-169*x+1) lgdogf] A216788 41.8480 [156/(-169*x+1) lgdogf] A216788 5.42207 [{(-n-2)*a(n+2)+(325+169*n)*a(n+1),a(0)=1,a(1)=156} ogf] A216796 5.84341 [-2*x*(2*x-1)*(2*x^3-6*x^2-2*x+3)/(x-1)/(8*x^5-22*x^4-15*x^3+13*x^2+3*x-1) ogf] A216797 6.34229 [-2*x*(636*x^6-536*x^4+99*x^2-5)/(1728*x^8-1862*x^6+524*x^4-49*x^2+1) ogf] A216801 5.16729 [-(52*x^5-520*x^4+689*x^3-299*x^2+48*x-2)/(13*x^6-91*x^5+182*x^4-156*x^3+65*x^2-13*x+1) ogf] A216844 11.9102 [-2*(5*x^3-3*x^2-x+1)/(x+1)/(x-1)^3 ogf] A216844 6.72349 [-(f(x)-8)*(f(x)*x^4-2*f(x)*x^3+10*x^3+2*f(x)*x-6*x^2-f(x)-2*x+2) ogf] A216844 8.68450 [-(-5*x^4-4*x^3-6*x^2+4*x-1)/(-5*x^5+3*x^4+6*x^3-4*x^2-x+1) lgdogf] A216852 11.3335 [-9*(5*x^3-3*x^2-x+1)/(x+1)/(x-1)^3 ogf] A216852 6.59574 [(f(x)-36)*(f(x)*x^4-2*f(x)*x^3+45*x^3+2*f(x)*x-27*x^2-f(x)-9*x+9) ogf] A216852 8.38209 [-(-5*x^4-4*x^3-6*x^2+4*x-1)/(-5*x^5+3*x^4+6*x^3-4*x^2-x+1) lgdogf] A216853 11.0605 [-(17*x^3-11*x^2+19*x-7)/(x+1)/(x-1)^3 ogf] A216853 6.37086 [(87*f(x)-538)*(f(x)*x^4-2*f(x)*x^3+17*x^3+2*f(x)*x-11*x^2-f(x)+19*x-7) ogf] A216853 7.73162 [-(-17*x^4-12*x^3-86*x^2+12*x-5)/(-17*x^5+11*x^4-2*x^3-4*x^2+19*x-7) lgdogf] A216861 5.56838 [-x*(26*x^4-84*x^3+57*x^2-17*x+2)/(13*x^6-91*x^5+182*x^4-156*x^3+65*x^2-13*x+1) ogf] A216865 11.2793 [-8*(5*x^3-3*x^2-x+1)/(x+1)/(x-1)^3 ogf] A216865 6.3558 [-(f(x)-32)*(f(x)*x^4-2*f(x)*x^3+40*x^3+2*f(x)*x-24*x^2-f(x)-8*x+8) ogf] A216865 8.34199 [-(-5*x^4-4*x^3-6*x^2+4*x-1)/(-5*x^5+3*x^4+6*x^3-4*x^2-x+1) lgdogf] A216871 11.2831 [-4*(5*x^3-3*x^2+3*x-1)/(x+1)/(x-1)^3 ogf] A216871 5.84447 [{(n+2)*a(n+1)-a(n+3)*n+2*a(n+2),a(0)=-4,a(1)=4,a(2)=-4,a(3)=20} ogf] A216871 6.65886 [(f(x)-6)*(f(x)*x^4-2*f(x)*x^3+20*x^3+2*f(x)*x-12*x^2-f(x)+12*x-4) ogf] A216871 8.37507 [-(5*x^4+4*x^3+18*x^2-4*x+1)/(5*x^5-3*x^4-2*x^3+2*x^2-3*x+1) lgdogf] A216875 11.2867 [-10*(5*x^3-3*x^2-x+1)/(x+1)/(x-1)^3 ogf] A216875 6.43697 [-(f(x)-40)*(f(x)*x^4-2*f(x)*x^3+50*x^3+2*f(x)*x-30*x^2-f(x)-10*x+10) ogf] A216875 8.58262 [-(-5*x^4-4*x^3-6*x^2+4*x-1)/(-5*x^5+3*x^4+6*x^3-4*x^2-x+1) lgdogf] A216876 11.0605 [-5*(5*x^3-3*x^2+3*x-1)/(x+1)/(x-1)^3 ogf] A216876 5.72919 [{(n+2)*a(n+1)-a(n+3)*n+2*a(n+2),a(0)=-5,a(1)=5,a(2)=-5,a(3)=25} ogf] A216876 6.47445 [(2*f(x)-15)*(f(x)*x^4-2*f(x)*x^3+25*x^3+2*f(x)*x-15*x^2-f(x)+15*x-5) ogf] A216876 8.20987 [-(5*x^4+4*x^3+18*x^2-4*x+1)/(5*x^5-3*x^4-2*x^3+2*x^2-3*x+1) lgdogf] A216938 4.67665 [-(x^3-4*x^2+6*x-5)*(x^4-4*x^3+6*x^2-3*x+2)/(x-1)^8 ogf] A216949 12.3493 [-(7*x^2-6*x+1)/(x^3-11*x^2+7*x-1) ogf] A216949 6.60045 [-(2*f(x)-1)*(f(x)*x^3-11*f(x)*x^2+7*f(x)*x+7*x^2-f(x)-6*x+1) ogf] A216949 6.77570 [{-a(n+3)+7*a(n+2)-11*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A216949 7.43353 [-(7*x^4-12*x^3+20*x^2-8*x+1)/(7*x^5-83*x^4+116*x^3-60*x^2+13*x-1) lgdogf] A216972 8.66287 [x*(x^6-2*x^5+3*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A216985 13.6693 [-2*x/(x^3-9*x^2+7*x-1) ogf] A216985 5.49212 [{a(n+3)-7*a(n+2)+9*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=14} ogf] A216985 5.85826 [-(151*f(x)-9)*(f(x)*x^3-9*f(x)*x^2+7*f(x)*x-f(x)+2*x) ogf] A216985 9.46334 [-(3*x^2-18*x+7)/(x^3-9*x^2+7*x-1) lgdogf] A216995 6.24974 [-11*(100*x^17-108*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x-19)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A217022 5.74856 [-(x^5-2*x^4-8*x^3+20*x^2-7*x-1)/(x^3+3*x^2-1)/(x^3-6*x^2+9*x-1) ogf] A217052 11.8845 [(2*x+1)*(4*x-1)/(x^3+24*x^2+3*x-1) ogf] A217052 6.03968 [-(3771*f(x)-1229)*(f(x)*x^3+24*f(x)*x^2+3*f(x)*x-8*x^2-f(x)-2*x+1) ogf] A217052 6.46351 [{a(n+3)-3*a(n+2)-24*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=19} ogf] A217052 7.22392 [-(8*x^4+4*x^3+21*x^2-32*x-1)/(8*x^5+194*x^4+71*x^3-26*x^2-5*x+1) lgdogf] A217053 11.3670 [(x+2)*(x-1)/(x^3+24*x^2+3*x-1) ogf] A217053 5.82444 [(518445*f(x)-19546)*(f(x)*x^3+24*f(x)*x^2+3*f(x)*x-x^2-f(x)-x+2) ogf] A217053 6.18208 [{a(n+3)-3*a(n+2)-24*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=62} ogf] A217053 6.97779 [-(x^4+2*x^3+15*x^2-94*x-5)/(x^5+25*x^4+25*x^3-46*x^2-7*x+2) lgdogf] A217067 19.7234 [-(x^3+1)/(x-1) ogf_with_Euler_transform] A217069 12.4338 [-x*(x+2)/(x^3+24*x^2+3*x-1) ogf] A217069 6.21693 [(187596*f(x)+6497)*(f(x)*x^3+24*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x) ogf] A217069 6.43896 [{a(n+3)-3*a(n+2)-24*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=7} ogf] A217069 8.58527 [-(-2*x^3-30*x^2-96*x-7)/(-x^4-26*x^3-51*x^2-5*x+2) lgdogf] A217093 13.2145 [-(-x^2+3*x-3)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A217094 10.5215 [-(189*x^2-38*x+2)/(x-1)/(9*x-1)/(10*x-1) ogf] A217094 5.63357 [-(899*f(x)-1819)*(90*f(x)*x^3-109*f(x)*x^2+20*f(x)*x+189*x^2-f(x)-38*x+2) ogf] A217094 6.11506 [{-a(n+3)+20*a(n+2)-109*a(n+1)+90*a(n),a(0)=2,a(1)=2,a(2)=11} ogf] A217096 11.8615 [-(-x^10+x^9)/(x^91+x-1) ogf_with_Euler_transform] A217096 4.87758 [(x^91+x^81+2*x^11-x^10-x^9+x-1)/(x^81-2*x^21+x^20+x^19+x^11-x^9+x-1) ogf] A217100 4.36784 [-(14*x^15-7*x^13-12*x^12+8*x^10+13*x^9-x^8-8*x^7-13*x^6+8*x^4-x^3-x^2-2*x-1)/(x-1)/(x^2+1)/(x^2+x+1)/(2*x^2-1)/(x^4-x^2+1) ogf] A217110 5.43085 [3265920*x^9/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A217123 6.77873 [(x^7-2*x^6-x^5+2*x^4-x^3+x-2)/(x^2+1)/(x+1)/(x-1)^3 ogf] A217193 5.19617 [-(4*x^8-23*x^7+53*x^6-60*x^5+32*x^4+49*x^3+77*x^2-18*x+6)/(x-1)^7 ogf] A217194 12.7127 [-(4*x^2+x-2)/(4*x^3-2*x^2-2*x+1) ogf_with_Euler_transform] A217200 7.51095 [-(2*x^4-6*x^3+48*x^2+10*x+6)/(x^6-4*x^5+6*x^4+10*x^3-17*x^2+6*x-2) lgdogf] A217200 7.79984 [-(x^5-3*x^4+3*x^3+13*x^2-4*x+2)/(x-1)^5 ogf] A217213 5.23055 [-64*f(x)^2*x^3+48*f(x)^2*x^2+128*f(x)*x^3-36*x^4-12*f(x)^2*x-96*f(x)*x^2+8*x^3+f(x)^2+24*f(x)*x-2*f(x) ogf] A217213 6.69023 [{(-4*n^2+2*n)*a(n)+(n^2-n-2)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=4} ogf] A217213 8.99000 [(-3/(-1+4*x)^(3/2)*(30*x^2-11*x+1)+3*I)/x/(9*x-2)*(-1+4*x)^(1/2) lgdogf] A217214 3.97034 [{(-212*n^3-490*n^2-192*n)*a(n+1)+(121*n^3+365*n^2+26*n-132)*a(n+2)+(-17*n^3-55*n^2+52*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A217215 3.87836 [{(-212*n^3-490*n^2-192*n)*a(n+1)+(121*n^3+365*n^2+26*n-132)*a(n+2)+(-17*n^3-55*n^2+52*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A217218 10.1541 [-(59*x^11+79*x^10+105*x^9+70*x^8+93*x^7+62*x^6+83*x^5+111*x^4+74*x^3+99*x^2+66*x+44)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A217219 12.0591 [-(-2*x^5-x^2)/(x^6+x^3+1) ogf_with_Euler_transform] A217221 13.0023 [-(-2*x^5+x^3-x)/(x^6+1) ogf_with_Euler_transform] A217233 11.6971 [(x-1)^2/(x+1)/(x^2-4*x+1) ogf] A217233 6.25897 [(353*f(x)+24)*(f(x)*x^3-3*f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1) ogf] A217233 6.37075 [{a(n+3)-3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A217233 9.91006 [-(-x^3+3*x^2-9*x-1)/(-x^4+4*x^3-4*x+1) lgdogf] A217238 3.71859 [{(n^3+8*n^2+21*n+18)*a(n+1)+(-n^2-7*n-12)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A217239 3.79038 [{(n^3+4*n^2+5*n+2)*a(n)+(-n^2-4*n-4)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A217260 10.5823 [-(-2-2*x)/(-x^2-2*x-2) lgdegf] A217260 15.3924 [2/(x^2+2*x+2) egf] A217260 3.57711 [{(-n^2-5*n-6)*a(n+1)+(-2*n-6)*a(n+2)-2*a(n+3),a(0)=1,a(1)=-1,a(2)=1} ogf] A217260 5.97588 [-(f(x)-1)*(f(x)*x^2+2*f(x)*x+2*f(x)-2) egf] A217268 3.56993 [-(1687473*f(x)+754750)*(729*f(x)*x^4-648*f(x)*x^3+270*x^4-176*x^3+24*f(x)*x-64*x^2-f(x)+16*x+2) ogf] A217268 6.20682 [-2*(135*x^4-88*x^3-32*x^2+8*x+1)/(27*x^2-1)/(27*x^2-24*x+1) ogf] A217274 11.0386 [-(21*x^2-28*x+7)/(7*x^3-14*x^2+7*x-1) lgdogf] A217274 17.6093 [-x/(7*x^3-14*x^2+7*x-1) ogf] A217274 6.60347 [{a(n+3)-7*a(n+2)+14*a(n+1)-7*a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A217274 9.4819 [7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)+x ogf] A217275 13.2028 [7*f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A217275 19.4742 [-x/(-7*x^2-x-1) revogf] A217275 5.12480 [{(27*n+54)*a(n+1)+(2*n+7)*a(n+2)+(-n-5)*a(n+3),a(0)=1,a(1)=1,a(2)=8} ogf] A217278 6.60564 [-x^2*(3*x^5+x^4+12*x^3+9*x^2+3*x+1)/(x-1)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+6*x^2+1) ogf] A217282 7.35731 [-f(x)^2*x^4+f(x)^2*x^3-f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1 ogf] A217283 11.0371 [-(x-1)*(x^2+x+1)*(x^6+x^3+1)*(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x^20+x^19-x^18-x^6-x^2-x+1) ogf] A217284 4.32198 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(n^3+9*n^2+27*n+28)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=17} ogf] A217312 5.84678 [-3*f(x)^2*x^3+f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x^2-f(x)^2-f(x)*x+2*f(x)-x-1 ogf] A217319 16.5102 [x^11*(x-1)-x^3+x^2+2 ogf_with_Euler_transform] A217330 8.34535 [(2*x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A217330 9.41278 [-(10*x^5+4*x^4+4*x^3+14*x^2+2*x+2)/(2*x^6-x^3-1) lgdogf] A217333 12.4823 [-f(x)^2*x^3-2*f(x)*x+f(x)+x-1 ogf] A217333 9.82980 [1/2/(x^2-1)*(-2*x-1+(4*x^3+4*x^2+1)^(1/2)) revogf] A217336 6.78685 [-(x^5+9*x^4+2*x^3-22*x^2+x+1)/(3*x^6-27*x^4+33*x^2-1) ogf] A217340 11.5549 [x/(x^4-x^3+11*x^2-7*x+1) ogf] A217340 5.15672 [(185*f(x)-19)*(f(x)*x^4-f(x)*x^3+11*f(x)*x^2-7*f(x)*x+f(x)-x) ogf] A217340 7.60930 [-(4*x^3-3*x^2+22*x-7)/(x^4-x^3+11*x^2-7*x+1) lgdogf] A217358 23.2868 [-x^4-x^3+x revogf] A217359 24.6941 [x^4+x^3+x revogf] A217360 4.07251 [{(-512*n^3-2304*n^2-3424*n-1680)*a(n+1)+(27*n^3+162*n^2+321*n+210)*a(n+2),a(0)=1,a(1)=2} ogf] A217361 11.2282 [1-f(x)-f(x)^2*x-2*x^2*f(x)^3 ogf] A217361 20.7020 [2*x^3+x^2+x revogf] A217361 3.56163 [{(-108*n^2-432*n-420)*a(n+1)+(-32*n^2-176*n-240)*a(n+2)+(-7*n^2-49*n-84)*a(n+3),a(0)=1,a(1)=-1,a(2)=0} ogf] A217362 18.1169 [[x^4+2*x^2+x] revogf] A217363 11.1686 [hypergeom([1/3,2/3],[3/2],81/4*x) ogf] A217363 15.7994 [-1+f(x)-3*f(x)^3*x ogf] A217363 5.10061 [{(-81*n^2-243*n-180)*a(n+1)+(4*n^2+18*n+20)*a(n+2),a(0)=1,a(1)=3} ogf] A217364 3.22025 [{(-3125*n^4-18750*n^3-41875*n^2-41250*n-15120)*a(n+1)+(128*n^4+960*n^3+2680*n^2+3300*n+1512)*a(n+2),a(0)=1,a(1)=2} ogf] A217365 15.5974 [[x^5+x^4+x^3+x^2+x] revogf] A217366 6.08977 [{(-n^2-12*n-27)*a(n+1)+(n^2+8*n+7)*a(n+3),a(0)=0,a(1)=7,a(2)=2} ogf] A217366 9.52869 [x*(5*x^4+x^3-6*x^2-2*x-7)/(x-1)^3/(x+1)^3 ogf] A217367 3.89793 [x*(x^2-x+1)*(3*x^5-x^4+2*x^3-3*x^2-5*x-2)/(x^2+1)^3/(x-1)^3 ogf] A217373 28.4766 [-x^8+x^7+2 ogf_with_Euler_transform] A217373 7.61200 [9*(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A217394 10.7236 [-(170*x^12-170*x^11+17*x^2-16*x-2)/(x-1)^2 ogf] A217395 10.7236 [-(260*x^12-260*x^11+26*x^2-24*x-3)/(x-1)^2 ogf] A217397 10.7236 [-(350*x^12-350*x^11+35*x^2-32*x-4)/(x-1)^2 ogf] A217398 10.7236 [-(440*x^12-440*x^11+44*x^2-40*x-5)/(x-1)^2 ogf] A217399 10.7236 [-(530*x^12-530*x^11+53*x^2-48*x-6)/(x-1)^2 ogf] A217400 10.7236 [-(620*x^12-620*x^11+62*x^2-56*x-7)/(x-1)^2 ogf] A217401 10.7236 [-(710*x^12-710*x^11+71*x^2-64*x-8)/(x-1)^2 ogf] A217402 10.7236 [-(800*x^12-800*x^11+80*x^2-72*x-9)/(x-1)^2 ogf] A217441 10.9632 [-(-18*x^3-10*x^2-43*x-7)/(-6*x^4-x^3+x+6) lgdogf] A217441 9.90649 [-4*x*(6*x^2+x+6)/(x+1)^2/(x-1)^3 ogf] A217444 7.93116 [-x*(x^6+2*x^5+3*x^4+12*x^3+5*x^2+x+1)/(x^9-17*x^6+10*x^3-1) ogf] A217450 11.0400 [(x^3-3*x^2+3*x-3)/(x^4+2*x-1) ogf] A217450 6.53822 [(24*f(x)-23)*(f(x)*x^4-x^3+2*f(x)*x+3*x^2-f(x)-3*x+3) ogf] A217451 3.87214 [-(12*x^8+62*x^7+12*x^6+43*x^5-8*x^4+17*x^3-15*x^2-6*x-3)/(4*x^9+26*x^8+14*x^7+17*x^6-x^5+5*x^4-6*x^3-3*x^2-3*x+1) ogf] A217461 14.4919 [-(8*x^3-24*x^2+16*x-4)/(4*x^4-16*x^3+16*x^2-8*x+1) lgdogf] A217461 7.30008 [-4*f(x)^2*x^4+16*f(x)^2*x^3-16*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+1 ogf] A217461 8.77748 [-(8*x^3-24*x^2+16*x-4)/(4*x^4-16*x^3+16*x^2-8*x+1) lgdogf] A217477 6.48852 [{(-4*n-2)*a(n)+(-n-1)*a(n+1),a(0)=3,a(1)=-4} ogf] A217477 8.08959 [4*f(x)^2*x+f(x)^2-8*f(x)*x-2*f(x)+4*x-3 ogf] A217477 9.16026 [-4*(-2+(4*x+1)^(1/2))/(4*x-3)/(4*x+1) lgdogf] A217482 3.79270 [-4*x^4*(x^4+3*x^3+7*x^2+3*x+1)/(x+1)^5/(x-1)^7 ogf] A217486 10.9635 [1/2*ln(4*x+1)-1/2*ln(2*x+1) revegf] A217515 10.9804 [{-a(n+3)+a(n),a(0)=6,a(1)=4,a(2)=3} ogf] A217515 17.0308 [-(3*x^2+4*x+6)/(x-1)/(x^2+x+1) ogf] A217515 9.93463 [-(716*f(x)-3381)*(f(x)*x^3+3*x^2-f(x)+4*x+6) ogf] A217516 13.1794 [-(2*x^4+4*x^3+5*x^2+8*x+7)/(x-1)/(x+1)/(x^2+1) ogf] A217516 8.83156 [(1682*f(x)-7655)*(f(x)*x^4+2*x^4+4*x^3+5*x^2-f(x)+8*x+7) ogf] A217517 11.5584 [-(5*x^4+6*x^3+10*x^2+20*x+20)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A217518 9.95387 [-(6*x^5+7*x^4+12*x^3+7*x^2+7*x+13)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A217527 12.1330 [-(-12*x^2-3)/(-12*x^3+12*x^2-5*x+1) lgdogf] A217527 12.1330 [-2*(6*x^2-3*x+1)/(2*x-1)^3 ogf] A217527 6.31716 [-(124*f(x)-113)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+12*x^2-f(x)-6*x+2) ogf] A217527 6.70506 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=2,a(1)=6,a(2)=24} ogf] A217528 5.34809 [-(11*f(x)+9)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+4*x^3-7*f(x)*x-10*x^2+f(x)+5*x-1) ogf] A217528 7.67796 [-(-8*x^4+32*x^3-28*x^2+8*x-2)/(-8*x^5+32*x^4-44*x^3+27*x^2-8*x+1) lgdogf] A217528 9.69342 [-(4*x^3-10*x^2+5*x-1)/(x-1)/(2*x-1)^3 ogf] A217529 10.0681 [-(-88*x^2+120*x-86)/(-88*x^3+148*x^2-98*x+23) lgdogf] A217529 11.3073 [-(44*x^2-52*x+23)/(2*x-1)^3 ogf] A217529 6.12476 [(416*f(x)+2367)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+44*x^2-f(x)-52*x+23) ogf] A217529 6.28181 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=23,a(1)=86,a(2)=284} ogf] A217530 4.12820 [{(3994*n^2+26471*n+36966)*a(n+1)+(-7901*n^2-34694*n-15243)*a(n+2)+(3907*n^2+8571*n+1514)*a(n+3),a(0)=0,a(1)=6,a(2)=22} ogf] A217530 9.09981 [x*(11*x^3-25*x^2+8*x-6)/(x-1)^5 ogf] A217530 9.61684 [-(-22*x^3+42*x^2+18*x+22)/(-11*x^4+36*x^3-33*x^2+14*x-6) lgdogf] A217562 23.2987 [-x^4+x^3+2 ogf_with_Euler_transform] A217562 8.81714 [2*(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A217571 8.67966 [-(-2*x^4-4*x^3+8*x^2+6*x+4)/(-x^5-x^4+4*x^3+2*x^2-3*x-1) lgdogf] A217571 9.80291 [(x^3+x^2-3*x-1)/(x+1)^2/(x-1)^3 ogf] A217573 7.60972 [(4*x^7+12*x^6+12*x^5+13*x^4+13*x^3+12*x^2+12*x+10)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A217574 3.58002 [{(25*n^3+247*n^2+809*n+879)*a(n+1)+(206*n^2+824*n+630)*a(n+2)+(-25*n^3-53*n^2-33*n-5)*a(n+3),a(0)=0,a(1)=0,a(2)=24} ogf] A217574 4.44791 [-24*x^2*(x+1)*(x^4+116*x^3+606*x^2+116*x+1)/(x-1)^9 ogf] A217585 11.6526 [-(-2*x^3+6*x^2-7*x-5)/(2*x^4-4*x^3-x^2+2*x+1) lgdogf] A217585 14.3416 [-x*(2*x^3-2*x^2-3*x-1)/(x-1)^2 ogf] A217585 7.34019 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=5,a(3)=11,a(4)=15} ogf] A217585 8.39825 [(136*f(x)-11107)*(2*x^4+f(x)*x^2-2*x^3-2*f(x)*x-3*x^2+f(x)-x) ogf] A217592 45.9290 [[2] ogf_with_Euler_transform] A217596 10.5252 [x^2+f(x)*x-f(x)^2+f(x)^3 ogf] A217602 5.52151 [-(2*x^10+3*x^8-8*x^7-2*x^6-4*x^5+2*x^4-4*x^3-4*x^2-1)/(x^4+1)/(x+1)/(x^2+1)^2/(x-1)^2 ogf] A217615 10.3363 [-(8*x^3-6*x^2+x-1)/(4*x^4-4*x^3+x^2-2*x+1) lgdogf] A217615 19.3442 [-(8*x^3-6*x^2+x-1)/(4*x^4-4*x^3+x^2-2*x+1) lgdogf] A217615 8.35253 [-4*f(x)^2*x^4+4*f(x)^2*x^3-f(x)^2*x^2+2*f(x)^2*x-f(x)^2+1 ogf] A217616 15.8811 [-(8*x^3-12*x^2+4*x-2)/(4*x^4-8*x^3+4*x^2-4*x+1) lgdogf] A217616 7.67417 [-4*f(x)^2*x^4+8*f(x)^2*x^3-4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A217616 9.37953 [-(8*x^3-12*x^2+4*x-2)/(4*x^4-8*x^3+4*x^2-4*x+1) lgdogf] A217617 15.2479 [-(-8*x^3+18*x^2-9*x+3)/(-4*x^4+12*x^3-9*x^2+6*x-1) lgdogf] A217617 7.75427 [-4*f(x)^2*x^4+12*f(x)^2*x^3-9*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A217617 9.45644 [-(-8*x^3+18*x^2-9*x+3)/(-4*x^4+12*x^3-9*x^2+6*x-1) lgdogf] A217631 10.6718 [-2*x*(2*x^2+2*x+1)/(2*x^3+3*x^2+x-1) ogf] A217631 5.25503 [{a(n+4)-a(n+3)-3*a(n+2)-2*a(n+1),a(0)=0,a(1)=2,a(2)=6,a(3)=16} ogf] A217631 5.97985 [(31*f(x)+4)*(2*f(x)*x^3+3*f(x)*x^2+4*x^3+f(x)*x+4*x^2-f(x)+2*x) ogf] A217631 6.93664 [-(-4*x^4-8*x^3-10*x^2-10*x-3)/(-4*x^5-10*x^4-10*x^3-3*x^2+x+1) lgdogf] A217639 7.12999 [(x^5-3*x^4+x^3+3*x+3)/(x^6-2*x^4-3*x^3-3*x^2-2*x+1) ogf] A217657 6.08116 [-x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A217661 12.4897 [-(-4*x^4+10*x^3-6*x^2+2*x-1)/(-4*x^5+8*x^4-8*x^3+8*x^2-5*x+1) lgdogf] A217661 6.98624 [-4*f(x)^2*x^4+4*f(x)^2*x^3-4*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+x^2-2*x+1 ogf] A217661 7.99458 [-(-4*x^4+10*x^3-6*x^2+2*x-1)/(-4*x^5+8*x^4-8*x^3+8*x^2-5*x+1) lgdogf] A217664 11.6599 [-(-18*x^4+28*x^3-15*x^2+5*x-1)/(-18*x^5+29*x^4-32*x^3+23*x^2-8*x+1) lgdogf] A217664 7.03258 [-9*f(x)^2*x^4+10*f(x)^2*x^3-11*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+4*x^2-4*x+1 ogf] A217664 7.71537 [-(-18*x^4+28*x^3-15*x^2+5*x-1)/(-18*x^5+29*x^4-32*x^3+23*x^2-8*x+1) lgdogf] A217665 10.8569 [-(-48*x^4+62*x^3-30*x^2+8*x-1)/(-48*x^5+76*x^4-80*x^3+44*x^2-11*x+1) lgdogf] A217665 6.59167 [-16*f(x)^2*x^4+20*f(x)^2*x^3-20*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+9*x^2-6*x+1 ogf] A217665 7.22550 [-(-48*x^4+62*x^3-30*x^2+8*x-1)/(-48*x^5+76*x^4-80*x^3+44*x^2-11*x+1) lgdogf] A217666 6.48811 [-25*f(x)^2*x^4+34*f(x)^2*x^3-31*f(x)^2*x^2+10*f(x)^2*x-f(x)^2+16*x^2-8*x+1 ogf] A217666 6.84201 [-(-100*x^4+118*x^3-51*x^2+11*x-1)/(-100*x^5+161*x^4-158*x^3+71*x^2-14*x+1) lgdogf] A217666 9.99444 [-(-100*x^4+118*x^3-51*x^2+11*x-1)/(-100*x^5+161*x^4-158*x^3+71*x^2-14*x+1) lgdogf] A217687 9.76469 [(342092*x^11+1402*x^10+378*x^8+62*x^5+x^3+3*x^2+1)/(x-1)^2 ogf] A217688 11.5615 [x*(71493*x^9+293*x^8+79*x^6+13*x^3+1)/(x-1)^2 ogf] A217694 9.09716 [(x+1)*(x^2-x+1)/(x^2+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A217703 5.64928 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(2*n^2+10*n+12)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=-1/2} egf] A217730 10.3138 [-(16*f(x)-7)*(2*f(x)*x^4-4*f(x)*x^2+x^3+f(x)-2*x-1) ogf] A217730 17.7325 [-(x+1)*(x^2-x-1)/(2*x^4-4*x^2+1) ogf] A217730 9.02455 [-(-2*x^6+8*x^4+8*x^3-5*x^2-8*x-2)/(-2*x^7+8*x^5+2*x^4-9*x^3-4*x^2+2*x+1) lgdogf] A217730 9.53538 [{a(n+4)-4*a(n+2)+2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A217733 12.8214 [-(x^2-x-1)/(x-1)/(x^3+3*x^2-1) ogf] A217733 6.65169 [-(3*f(x)-1)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A217733 8.84675 [-(2*x^5-x^4-8*x^3-2*x^2+4*x+2)/(x^6+x^5-6*x^4+5*x^2-1) lgdogf] A217748 11.9628 [(x^3-x^2-x-1)/(x-1)^3 ogf] A217748 13.7573 [-(2*x^2-4*x-4)/(x^4-2*x^3+1) lgdogf] A217748 6.15997 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=10,a(3)=18} ogf] A217748 6.76588 [(23*f(x)-149)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+x^2-f(x)+x+1) ogf] A217758 4.74667 [(4891527*f(x)-309056)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)+20*x+1) ogf] A217758 5.02825 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=55,a(2)=1891} ogf] A217758 9.27084 [-(x^2+20*x+1)/(x-1)/(x^2-34*x+1) ogf] A217761 14.1819 [-x*(28*x^4-28*x^3-1)/(x-1)^2 ogf] A217761 9.19487 [-(56*x^4-140*x^3+84*x^2+2)/(-28*x^5+56*x^4-28*x^3+x-1) lgdogf] A217771 13.1564 [-(4*x^4+2*x^3+2*x+4)/(-x^6+1) ogf_with_Euler_transform] A217775 12.1642 [-(-7*x^2+20*x-22)/(-7*x^3+24*x^2-30*x+13) lgdogf] A217775 13.1146 [-2*(7*x^2-17*x+13)/(x-1)^3 ogf] A217775 7.17378 [(25*f(x)+286)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)-34*x+26) ogf] A217775 7.29855 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=26,a(1)=44,a(2)=68} ogf] A217776 11.8095 [-(-11*x^2+30*x-25)/(-11*x^3+37*x^2-43*x+17) lgdogf] A217776 12.8996 [-4*(11*x^2-26*x+17)/(x-1)^3 ogf] A217776 6.87273 [(1037*f(x)+54484)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+44*x^2-f(x)-104*x+68) ogf] A217776 7.16643 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=68,a(1)=100,a(2)=140} ogf] A217777 12.3070 [-(x-1)*(2*x+1)*(x+1)/(5*x^4-5*x^2+1) ogf] A217777 7.54674 [{-a(n+4)+5*a(n+2)-5*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A217777 8.60165 [f(x)*(5*f(x)*x^4-5*f(x)*x^2+2*x^3+x^2+f(x)-2*x-1) ogf] A217778 4.97765 [-(10*f(x)+7)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2+3*x^3-8*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A217778 9.07319 [-(3*x-1)*(x-1)^2/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A217779 10.4167 [(2*x-1)^2/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A217779 5.64571 [(2*f(x)-1)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A217779 7.04370 [-(20*x^4-60*x^3+60*x^2-26*x+4)/(10*x^5-45*x^4+62*x^3-37*x^2+10*x-1) lgdogf] A217782 5.39105 [(5*f(x)-1)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2+6*x^3-8*f(x)*x-11*x^2+f(x)+6*x-1) ogf] A217782 9.43434 [-(x-1)*(3*x-1)*(2*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A217783 10.6462 [(2*x-1)*(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A217783 5.55793 [-(59*f(x)-7)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A217786 17.7767 [-(2*x-2)/(-x^3-1) ogf_with_Euler_transform] A217787 9.83701 [-(2*x^5+3*x^4+4*x^3-x^2-x-1)/(x^6-5*x^3+1) ogf] A217789 10.0287 [-(2*x^3-4*x^2+2*x-11)/(-x^4+2*x^3-11*x^2+9*x+1) lgdogf] A217789 15.2288 [-(x^3-x^2+10*x+1)/(x-1) ogf] A217789 8.30662 [{a(n+4)-a(n+3),a(0)=1,a(1)=11,a(2)=10,a(3)=11} ogf] A217789 8.84252 [-(362*f(x)+3817)*(x^3+f(x)*x-x^2-f(x)+10*x+1) ogf] A217800 4.86293 [{(-54*n^3-351*n^2-741*n-504)*a(n+1)+(2*n^3+21*n^2+73*n+84)*a(n+2),a(0)=1,a(1)=2} ogf] A217838 7.77170 [-(x^7+x^6+x^5+x^4+x^3+x^2+2)/(x^4-x+1)/(x^4+x-1) ogf] A217853 9.11354 [-(81*f(x)*x^2-82*f(x)*x+f(x)+81*x-91)^2 ogf] A217855 10.3088 [-(3*x^2-30*x+15)/(x^3-15*x^2+15*x-1) lgdogf] A217855 14.9149 [-2*x/(x-1)/(x^2-14*x+1) ogf] A217855 6.14913 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=30} ogf] A217855 8.87343 [f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+2*x ogf] A217873 12.4781 [4*(x^2+1)*x/(x-1)^4 ogf] A217873 12.6730 [-(-2*x^2-2*x-4)/(-x^3+x^2-x+1) lgdogf] A217873 27.7878 [[-x^3+x+4] ogf_with_Euler_transform] A217873 4.11713 [{(n+3)*a(n+4)+(-6-n)*a(n+3)+(-1+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=16,a(3)=44} ogf] A217873 7.87451 [f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+f(x)-4*x ogf] A217878 5.84669 [-(x^3+x^2+1)*(x^3+x^2+3)/(x^3+x^2-x+1)/(x^4+2*x-1) ogf] A217879 5.16276 [-(x^4+x^3+x^2+1)*(x^4+x^3+x^2+3)/(x^9+x^8+x^7-x^6+3*x^5+x^3-3*x^2+3*x-1) ogf] A217880 4.07023 [-(x^5+x^4+x^3+x^2+1)*(x^5+x^4+x^3+x^2+3)/(x^5+x^4+x^3-x+1)/(x^6+x^3-x^2+2*x-1) ogf] A217881 3.56644 [-(x^2+1)*(x^4+x^3+1)*(x^6+x^5+x^4+x^3+x^2+3)/(x^13+x^12+x^11+x^10+x^9-x^8+3*x^7+x^3-3*x^2+3*x-1) ogf] A217893 11.1290 [-(53*x^3-33*x^2+47*x-17)/(x+1)/(x-1)^3 ogf] A217893 6.24938 [(3095*f(x)-53582)*(f(x)*x^4-2*f(x)*x^3+53*x^3+2*f(x)*x-33*x^2-f(x)+47*x-17) ogf] A217893 7.59270 [-(53*x^4+40*x^3+234*x^2-40*x+13)/(53*x^5-33*x^4-6*x^3+16*x^2-47*x+17) lgdogf] A217894 11.1805 [-(37*x^3-27*x^2+63*x-23)/(x+1)/(x-1)^3 ogf] A217894 6.0909 [-(4805*f(x)-89016)*(f(x)*x^4-2*f(x)*x^3+37*x^3+2*f(x)*x-27*x^2-f(x)+63*x-23) ogf] A217894 7.62785 [-(37*x^4+20*x^3+246*x^2-20*x+17)/(37*x^5-27*x^4+26*x^3+4*x^2-63*x+23) lgdogf] A217924 26.1054 [-1+2*exp(x) lgdegf] A217924 65.2945 [-1+2*exp(x) lgdegf] A217947 10.0309 [-(-6*x^3+27*x^2-48*x+37)/(-3*x^4+15*x^3-30*x^2+29*x-11) lgdogf] A217947 4.64196 [{(5*n^2+53*n+114)*a(n+1)+(-12*n^2-118*n-262)*a(n+2)+(7*n^2+57*n+108)*a(n+3),a(0)=11,a(1)=37,a(2)=87} ogf] A217947 9.69654 [(3*x^3-12*x^2+18*x-11)/(x-1)^5 ogf] A217949 4.15476 [-(x^3+x^2+2)*(x^6+2*x^5+x^4+4*x^3+4*x^2+2)/(x^5+3*x^2-2*x+1)/(x^5+2*x^4+x^2+2*x-1) ogf] A217958 5.04195 [(40*f(x)+101)*(f(x)*x^4-2*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)-5*x-3) ogf] A217958 8.91474 [(x+1)*(x^2+2*x+3)/(x^4-2*x^2-4*x+1) ogf] A217959 5.54951 [-(26*x^4+41*x^3+39*x^2-x-9)/(10*x^5+23*x^4+20*x^3+4*x^2-10*x+1) ogf] A217975 11.4594 [-2*(x-1)*(x^2+3*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A217975 7.09393 [(980*f(x)-621)*(f(x)*x^4-6*f(x)*x^2+2*x^3+4*x^2+f(x)-4*x-2) ogf] A217978 5.68038 [-2*(4*x^5+5*x^4-5*x^3-3*x^2-3*x+3)/(2*x^7+x^6-8*x^5-5*x^4+x^3+5*x^2+2*x-1) ogf] A217988 8.09888 [(2*x^5-2*x^4-2*x^3+6*x^2-4*x+1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A217995 6.42399 [-(3*x^5-6*x^4-9*x^3-5*x^2+3)/(3*x-1)/(x^5-2*x^4-5*x^3-x^2+1) ogf] A218002 22.5353 [-(-x^8-x^7+x^6+x^4+x^2+x)/(x^6-1) lgdegf] A218002 9.41498 [-(-x^8-x^7+x^6+x^4+x^2+x)/(x^6-1) lgdegf] A218008 3.97265 [2*f(x)^2*x^4-5*f(x)^2*x^3+4*f(x)^2*x^2-4*f(x)*x^3-f(x)^2*x+2*f(x)*x^2+4*f(x)*x+4*x^2-2*f(x) ogf] A218009 7.88686 [x*(2*x^4-2*x^3+2*x^2-2*x+1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A218032 5.13673 [-(x^14+x^11+x^10-x^8+x^7-x^4-x^3-x^2+1)/(x^15-x^14-x^10-x^9+x^8-x^7-x^5+x^4+x^2+x-1) ogf] A218033 5.98347 [(x^24+x^8-1)/(x^27-x^25+x^24+x^23-2*x^15+x^11-x^9+x^8+x^7-x^3+x-1) ogf] A218034 13.0890 [(12*x^3-x^2-2*x-1)/(x+1)/(3*x-1) ogf] A218034 6.99585 [{-a(n+4)+2*a(n+3)+3*a(n+2),a(0)=1,a(1)=4,a(2)=12,a(3)=24} ogf] A218034 7.87882 [(3*f(x)+11)*(3*f(x)*x^2-12*x^3+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A218034 8.28081 [-(-36*x^4-48*x^3+32*x^2-8*x-4)/(36*x^5+21*x^4-20*x^3-6*x^2+1) lgdogf] A218051 9.00127 [2*(x^4-2*x^2+2*x-2)/(x^5+2*x^4+x^2+2*x-1) ogf] A218059 4.97143 [-(637*f(x)+1396)*(2*f(x)*x^3+3*f(x)*x^2-5*f(x)*x+4*x^2+f(x)+2*x-4) ogf] A218059 5.23308 [{-a(n+3)+5*a(n+2)-3*a(n+1)-2*a(n),a(0)=4,a(1)=18,a(2)=74} ogf] A218059 9.77985 [-2*(2*x^2+x-2)/(2*x^3+3*x^2-5*x+1) ogf] A218060 4.98470 [2*(2*x^6-3*x^5-12*x^4+22*x^3-5*x^2-6*x+3)/(x-1)/(x^5+3*x^4-4*x^3-10*x^2+8*x-1) ogf] A218065 8.23249 [-2*(2*x^3+2*x^2-x-2)/(x-1)/(x+1)/(2*x^3+3*x^2+x-1) ogf] A218078 12.7064 [-2*(x+1)/(x^3+2*x^2+x-1) ogf] A218078 6.01284 [{-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A218078 6.53822 [(3*f(x)-2)*(f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+2*x+2) ogf] A218078 8.86103 [-(2*x^3+5*x^2+4*x+2)/(x^4+3*x^3+3*x^2-1) lgdogf] A218079 7.72426 [2*(x-1)*(x^4+4*x^3+x^2-2*x-2)/(x^5+5*x^4-4*x^2-2*x+1) ogf] A218130 4.00547 [{(-359*n^2-1952*n-2625)*a(n+1)+(-362*n^2-6248*n-12876)*a(n+2)+(721*n^2+1720*n+999)*a(n+3),a(0)=0,a(1)=0,a(2)=54} ogf] A218130 6.63091 [-6*x^2*(11*x^3+47*x^2+53*x+9)/(x-1)^7 ogf] A218130 8.76753 [-(44*x^3+268*x^2+412*x+116)/(11*x^4+36*x^3+6*x^2-44*x-9) lgdogf] A218131 3.63115 [{(7*n^3+40*n^2+65*n+24)*a(n+1)+(116*n^2+464*n+1188)*a(n+2)+(-7*n^3-44*n^2-81*n-44)*a(n+3),a(0)=0,a(1)=0,a(2)=240} ogf] A218131 4.41392 [-240*x^2*(x+1)*(x^4+17*x^3+48*x^2+17*x+1)/(x-1)^9 ogf] A218132 3.61297 [504*x^2*(x^6+29*x^5+175*x^4+310*x^3+175*x^2+29*x+1)/(x-1)^10 ogf] A218134 11.7365 [-(x-1)*(x+1)/(x^4-4*x^3-2*x^2-4*x+1) ogf] A218134 5.69309 [-(1479*f(x)-128)*(f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2-4*f(x)*x+x^2+f(x)-1) ogf] A218134 7.26548 [-(2*x^5-4*x^4-4*x^3+16*x^2+2*x+4)/(x^6-4*x^5-3*x^4+3*x^2+4*x-1) lgdogf] A218135 11.7637 [-(2*x-1)*(2*x+1)/(16*x^4-4*x^3-8*x^2-x+1) ogf] A218135 5.92675 [-(57*f(x)-8)*(16*f(x)*x^4-4*f(x)*x^3-8*f(x)*x^2-f(x)*x+4*x^2+f(x)-1) ogf] A218135 6.87082 [-(-128*x^5+16*x^4+64*x^3-16*x^2-8*x-1)/(-64*x^6+16*x^5+48*x^4-12*x^2-x+1) lgdogf] A218136 10.9966 [-(2*x-1)*(2*x+1)/(16*x^4-36*x^3-8*x^2-9*x+1) ogf] A218136 5.41746 [-(8857*f(x)-648)*(16*f(x)*x^4-36*f(x)*x^3-8*f(x)*x^2-9*f(x)*x+4*x^2+f(x)-1) ogf] A218136 6.35150 [-(128*x^5-144*x^4-64*x^3+144*x^2+8*x+9)/(64*x^6-144*x^5-48*x^4+12*x^2+9*x-1) lgdogf] A218152 10.6154 [(x^3+3*x^2-2*x+1)/(x-1)^4 ogf] A218152 10.7551 [-(x^3+9*x^2+2)/(x^4+2*x^3-5*x^2+3*x-1) lgdogf] A218152 4.41830 [{(-29*n^2-141*n-166)*a(n+1)+(40*n^2+112*n+4)*a(n+2)+(-11*n^2-25*n+24)*a(n+3),a(0)=1,a(1)=2,a(2)=5} ogf] A218152 5.59853 [-(1026*f(x)+821)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A218155 10.6969 [(x^3+4*x^2-x+2)/(x-1)^2/(x^2+1) ogf] A218155 4.13901 [{(3*n+10)*a(n+1)+(-3*n-7)*a(n+2)+(3*n+10)*a(n+3)+(-3*n-7)*a(n+4),a(0)=2,a(1)=3,a(2)=6,a(3)=11} ogf] A218155 5.64152 [-(204*f(x)+1645)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-4*x^2+f(x)+x-2) ogf] A218171 3.58860 [-(x^12-x^10+x^8+x^4-x+1)/(-x^13+x^12-x^9+x^8-x^5+x^4-x+1) ogf_with_Euler_transform] A218173 3.48136 [-(x^12-x^11+x^10+x^4-x^3+x)/(-x^13+x^12-x^9+x^8-x^5+x^4-x+1) ogf_with_Euler_transform] A218186 14.9099 [f(x)^2+6*f(x)*x+x^2-f(x) ogf] A218189 5.76699 [-(x+1)^2*(x^2+1)^2/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A218199 8.08333 [-(x^2+x+1)^2/(x^5+x^4+x^3+x^2+x-1) ogf] A218200 4.01422 [-(x^8+2*x^7+3*x^6+2*x^5-2*x^4-2*x^3-5*x^2-6*x-3)/(x^9+x^8+x^7+x^6-2*x^5-2*x^4-3*x^3-3*x^2-3*x+1) ogf] A218225 10.4221 [-(x^3+x^2-x)/(-x^3-x^2+x+1) revogf] A218225 6.27173 [f(x)^3*x^3-x^2*f(x)^3+f(x)^2*x^2-f(x)^2*x-f(x)*x+f(x)-1 ogf] A218227 4.03420 [-(x^8+2*x^7+3*x^6+2*x^5+x^4+4*x^3+7*x^2+6*x+3)/(x^9+x^8+x^7+x^6+x^5+3*x^4+3*x^3+3*x^2+3*x-1) ogf] A218236 5.10139 [-3*(x+1)^2*(x^2+1)^2/(3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x-1) ogf] A218237 4.59785 [-7*(x+1)^2*(x^2+1)^2/(7*x^7+7*x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x-1) ogf] A218238 3.82976 [-15*(x+1)^2*(x^2+1)^2/(15*x^7+15*x^6+15*x^5+15*x^4+15*x^3+15*x^2+15*x-1) ogf] A218245 12.7959 [-(-5*x^4-20*x^3-60*x^2-120*x-120)/(x^5+5*x^4+20*x^3+60*x^2+120*x+240) lgdegf] A218245 5.98666 [(f(x)-1)*(-x^5-x^4-x^3-x^2+f(x)-x-2) ogf] A218281 4.59155 [-(x^4+x^3+x^2+x+1)^2/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A218299 7.84370 [-(-4*x^5+4*x^3-x)/(16*x^8+16*x^7+4*x^5+8*x^4+4*x^3+x+1) revogf] A218313 6.87785 [-3*(x^2+x+1)^2/(3*x^5+3*x^4+3*x^3+3*x^2+3*x-1) ogf] A218314 6.22626 [-7*(x^2+x+1)^2/(7*x^5+7*x^4+7*x^3+7*x^2+7*x-1) ogf] A218324 5.06349 [(6152000*f(x)+675110081)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-17*x^3-4*f(x)*x-191*x^2+f(x)-111*x-1) ogf] A218324 8.49360 [-(17*x^3+433*x^2+715*x+115)/(17*x^4+174*x^3-80*x^2-110*x-1) lgdogf] A218324 9.63299 [(17*x^3+191*x^2+111*x+1)/(x-1)^4 ogf] A218325 5.75570 [2*(2*x^7+20*x^6+23*x^5+29*x^4+56*x^3+17*x^2+9*x+4)/(x^2+x+1)^3/(x-1)^4 ogf] A218326 6.24777 [(5*x^6+16*x^5+159*x^4+72*x^3+123*x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A218327 7.03344 [2*(27*x^4+28*x^3+102*x^2+20*x+15)/(x+1)^3/(x-1)^4 ogf] A218328 4.79151 [(3145754528*f(x)+479906778873)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-25*x^3-4*f(x)*x-271*x^2+f(x)-151*x-1) ogf] A218328 8.25771 [-(25*x^3+617*x^2+995*x+155)/(25*x^4+246*x^3-120*x^2-150*x-1) lgdogf] A218328 9.46616 [(25*x^3+271*x^2+151*x+1)/(x-1)^4 ogf] A218329 5.67594 [2*(3*x^7+29*x^6+33*x^5+41*x^4+78*x^3+23*x^2+12*x+5)/(x^2+x+1)^3/(x-1)^4 ogf] A218330 6.10027 [(7*x^6+22*x^5+215*x^4+96*x^3+161*x^2+10*x+1)/(x+1)^3/(x-1)^4 ogf] A218331 6.85543 [2*(37*x^4+38*x^3+136*x^2+26*x+19)/(x+1)^3/(x-1)^4 ogf] A218332 4.23634 [(x^15-3*x^13-x^12-7*x^11-9*x^10+6*x^9+3*x^8-x^7+12*x^6-3*x^5-3*x^4+x^3-3*x^2+1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A218348 7.03955 [-(x^4+2*x^3-2*x^2-2*x-3)/(x^5+x^4-2*x^3-2*x^2-3*x+1) ogf] A218376 4.85143 [-x*(x^4+26*x^3+66*x^2+26*x+1)/(5*x-1)/(x-1)^6 ogf] A218395 10.1232 [-11*(x-1)*(x^2+8*x+1)/(x^4-20*x^2+1) ogf] A218395 5.9548 [-(35910*f(x)-168443)*(f(x)*x^4-20*f(x)*x^2+11*x^3+77*x^2+f(x)-77*x-11) ogf] A218420 7.31294 [-(x^4+2*x^3+x^2+4*x+3)/(x^5+x^4+x^3+3*x^2+3*x-1) ogf] A218438 11.1588 [-1/(x^3+2*x^2+x-1)/(x^3-x^2-1)^2 ogf] A218438 7.47329 [-(9*x^5+9*x^4-5*x^3-14*x^2-1)/(x^6+x^5-x^4-3*x^3-x^2-x+1) lgdogf] A218439 7.32383 [-(9*x^5+9*x^4-5*x^3-14*x^2-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A218440 4.49896 [-(1230947226*f(x)+91187585)*(f(x)*x^4-14*f(x)*x^3+6*f(x)*x^2+x^3-14*f(x)*x-14*x^2+f(x)+5*x-10) ogf] A218440 8.94237 [-(x^3-14*x^2+5*x-10)/(x^4-14*x^3+6*x^2-14*x+1) ogf] A218441 4.86293 [{(54*n^3+243*n^2+363*n+180)*a(n+1)+(-2*n^3-15*n^2-37*n-30)*a(n+2),a(0)=1,a(1)=1} ogf] A218452 2.27203 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A218456 3.85575 [-(8357536368*f(x)+43300969864655287)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-20771*x^3-4*f(x)*x+54537*x^2+f(x)-47411*x+13633) ogf] A218456 7.54566 [(20771*x^3-54537*x^2+47411*x-13633)/(x-1)^4 ogf] A218457 4.20327 [-(48236040432*f(x)+1478231604375581)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-16579*x^3-4*f(x)*x+45437*x^2+f(x)-41735*x+12841) ogf] A218458 3.60696 [(847817712*f(x)+145992837098365)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-14869*x^3-4*f(x)*x+41327*x^2+f(x)-38397*x+11927) ogf] A218458 6.78729 [(14869*x^3-41327*x^2+38397*x-11927)/(x-1)^4 ogf] A218470 14.4465 [-x^9/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A218471 14.2523 [-x*(5*x+2)/(x-1)^3 ogf] A218471 16.2476 [-(-10*x-11)/(-5*x^2+3*x+2) lgdogf] A218471 6.82673 [-(10535*f(x)-23517)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+2*x) ogf] A218471 7.25341 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=11} ogf] A218473 7.05211 [-27*f(x)^3*x+f(x)^3+54*f(x)^2*x-f(x)^2-36*f(x)*x+8*x ogf] A218474 7.05925 [-64*f(x)^3*x+f(x)^3+144*f(x)^2*x-f(x)^2-108*f(x)*x+27*x ogf] A218475 6.69716 [-125*f(x)^3*x+f(x)^3+300*f(x)^2*x-f(x)^2-240*f(x)*x+64*x ogf] A218476 7.03235 [-216*f(x)^3*x+f(x)^3+540*f(x)^2*x-f(x)^2-450*f(x)*x+125*x ogf] A218477 6.53841 [-343*f(x)^3*x+f(x)^3+882*f(x)^2*x-f(x)^2-756*f(x)*x+216*x ogf] A218478 6.63409 [-512*f(x)^3*x+f(x)^3+1344*f(x)^2*x-f(x)^2-1176*f(x)*x+343*x ogf] A218479 5.99022 [-729*f(x)^3*x+f(x)^3+1944*f(x)^2*x-f(x)^2-1728*f(x)*x+512*x ogf] A218480 6.06735 [-1000*f(x)^3*x+f(x)^3+2700*f(x)^2*x-f(x)^2-2430*f(x)*x+729*x ogf] A218489 4.61301 [-(3*x^15-3*x^13+x^12-13*x^11+9*x^10+6*x^9-3*x^8+5*x^7-12*x^6-3*x^5+3*x^4-x^3+3*x^2-1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A218506 4.66965 [(x^14-x^13-x^12+2*x^9-x^6-x^5+x^4-1)/(x^2+x+1)/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A218516 7.03648 [2*(x^4-2*x^3-4*x^2-6*x-2)/(x^5-4*x^4+3*x^2+6*x-1) ogf] A218517 3.74203 [-2*(96*x^6+156*x^5-48*x^4-114*x^3-105*x^2-x+8)/(64*x^7+140*x^6-x^5-112*x^4-96*x^3-19*x^2+18*x-1) ogf] A218530 12.9587 [-x^11/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A218540 5.73426 [{(-27*n^2-9*n+6)*a(n)+(n^2+3*n+2)*a(n+2),a(0)=1,a(1)=1,a(2)=1} ogf] A218563 5.15704 [-(1866033353*f(x)-478277017955)*(f(x)*x^3-57*x^4-f(x)*x^2-307*x^3-f(x)*x-22*x^2+f(x)-57*x-182) ogf] A218563 9.70014 [(57*x^4+307*x^3+22*x^2+57*x+182)/(x+1)/(x-1)^2 ogf] A218564 11.8617 [(1068*x^2+989*x+1068)/(x+1)/(x-1)^2 ogf] A218564 5.97414 [-(259357*f(x)+5322799169)*(f(x)*x^3-f(x)*x^2-f(x)*x-1068*x^2+f(x)-989*x-1068) ogf] A218564 6.76412 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1068,a(1)=2057,a(2)=4193} ogf] A218564 8.70700 [-(1068*x^3+3046*x^2+6329*x+2057)/(1068*x^4+989*x^3-989*x-1068) lgdogf] A218565 11.2744 [(1068*x^2+13489*x+1068)/(x+1)/(x-1)^2 ogf] A218565 5.67719 [(114484357*f(x)+1850361586669)*(f(x)*x^3-f(x)*x^2-f(x)*x-1068*x^2+f(x)-13489*x-1068) ogf] A218565 6.50800 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1068,a(1)=14557,a(2)=16693} ogf] A218565 7.92558 [-(-1068*x^3-28046*x^2-18829*x-14557)/(-1068*x^4-13489*x^3+13489*x+1068) lgdogf] A218567 4.74149 [-(x^7-x^6-x^5+2*x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A218574 3.97488 [-(2180078107*f(x)+226673114867919)*(f(x)*x^3-f(x)*x^2-f(x)*x-32318*x^2+f(x)-13489*x-32318) ogf] A218574 4.76986 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=32318,a(1)=45807,a(2)=110443} ogf] A218574 8.16756 [(32318*x^2+13489*x+32318)/(x+1)/(x-1)^2 ogf] A218587 6.39545 [-(x^4+4*x^3+x^2+8*x+7)/(3*x^5+3*x^4+3*x^3+7*x^2+7*x-1) ogf] A218645 4.47746 [2*(x^7+x^6-2*x^5-7*x^4+3*x^2+4*x+2)/(x^8+3*x^7+2*x^6-7*x^5-14*x^4-12*x^3-7*x^2-2*x+1) ogf] A218652 17.7421 [x-ln(x^2+1) revegf] A218657 10.3317 [-3*(x+1)^2/(3*x^3+3*x^2+3*x-1) ogf] A218657 5.52836 [{a(n+3)-3*a(n+2)-3*a(n+1)-3*a(n),a(0)=3,a(1)=15,a(2)=57} ogf] A218657 5.57729 [(59*f(x)+40)*(3*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+6*x+3) ogf] A218657 7.87791 [-(3*x^3+9*x^2+3*x+5)/(3*x^4+6*x^3+6*x^2+2*x-1) lgdogf] A218658 5.55555 [-(5*x^5+5*x^4+10*x^3-20*x^2-27*x-5)/(5*x^6+5*x^4-26*x^3-11*x^2-6*x+1) ogf] A218659 4.53258 [-9*(x-1)*(9*x^4+18*x^3+30*x^2+14*x+1)/(9*x^3-9*x^2-3*x-1)/(9*x^3+9*x^2+15*x-1) ogf] A218664 4.99741 [-(x^15-x^14-2*x^13+x^12-5*x^11+10*x^10+3*x^9-3*x^8-3*x^7-11*x^6+3*x^4+x^3+2*x^2-x-1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A218721 11.2280 [-(36*x-19)/(18*x^2-19*x+1) lgdogf] A218721 16.6816 [x/(18*x-1)/(x-1) ogf] A218721 7.03440 [{a(n+2)-19*a(n+1)+18*a(n),a(0)=0,a(1)=1} ogf] A218721 9.5714 [-18*f(x)*x^2+19*f(x)*x-f(x)+x ogf] A218722 11.3391 [-(38*x-20)/(19*x^2-20*x+1) lgdogf] A218722 16.8467 [x/(19*x-1)/(x-1) ogf] A218722 7.10404 [{a(n+2)-20*a(n+1)+19*a(n),a(0)=0,a(1)=1} ogf] A218722 9.66616 [-19*f(x)*x^2+20*f(x)*x-f(x)+x ogf] A218723 10.5313 [-256*f(x)*x^2+257*f(x)*x-f(x)+x ogf] A218723 15.1211 [x/(256*x-1)/(x-1) ogf] A218723 6.58213 [{a(n+2)-257*a(n+1)+256*a(n),a(0)=0,a(1)=1} ogf] A218723 9.99073 [-(512*x-257)/(256*x^2-257*x+1) lgdogf] A218724 10.1342 [-(42*x-22)/(21*x^2-22*x+1) lgdogf] A218724 15.0565 [x/(21*x-1)/(x-1) ogf] A218724 6.34912 [{a(n+2)-22*a(n+1)+21*a(n),a(0)=0,a(1)=1} ogf] A218724 8.63898 [-21*f(x)*x^2+22*f(x)*x-f(x)+x ogf] A218725 10.4066 [-(44*x-23)/(22*x^2-23*x+1) lgdogf] A218725 15.4612 [x/(22*x-1)/(x-1) ogf] A218725 6.51980 [{a(n+2)-23*a(n+1)+22*a(n),a(0)=0,a(1)=1} ogf] A218725 8.87121 [-22*f(x)*x^2+23*f(x)*x-f(x)+x ogf] A218726 10.1874 [-23*f(x)*x^2+24*f(x)*x-f(x)+x ogf] A218726 11.9506 [-(46*x-24)/(23*x^2-24*x+1) lgdogf] A218726 17.7551 [x/(23*x-1)/(x-1) ogf] A218726 7.48711 [{a(n+2)-24*a(n+1)+23*a(n),a(0)=0,a(1)=1} ogf] A218727 10.3295 [-24*f(x)*x^2+25*f(x)*x-f(x)+x ogf] A218727 12.1173 [-(48*x-25)/(24*x^2-25*x+1) lgdogf] A218727 18.0029 [x/(24*x-1)/(x-1) ogf] A218727 7.59158 [{a(n+2)-25*a(n+1)+24*a(n),a(0)=0,a(1)=1} ogf] A218728 10.4243 [-25*f(x)*x^2+26*f(x)*x-f(x)+x ogf] A218728 12.2285 [-(50*x-26)/(25*x^2-26*x+1) lgdogf] A218728 18.1680 [x/(25*x-1)/(x-1) ogf] A218728 7.66122 [{a(n+2)-26*a(n+1)+25*a(n),a(0)=0,a(1)=1} ogf] A218729 10.7880 [-(52*x-27)/(26*x^2-27*x+1) lgdogf] A218729 16.0279 [x/(26*x-1)/(x-1) ogf] A218729 6.75875 [{a(n+2)-27*a(n+1)+26*a(n),a(0)=0,a(1)=1} ogf] A218729 9.19633 [-26*f(x)*x^2+27*f(x)*x-f(x)+x ogf] A218730 10.6612 [-27*f(x)*x^2+28*f(x)*x-f(x)+x ogf] A218730 12.5064 [-(54*x-28)/(27*x^2-28*x+1) lgdogf] A218730 18.5809 [x/(27*x-1)/(x-1) ogf] A218730 7.83534 [{a(n+2)-28*a(n+1)+27*a(n),a(0)=0,a(1)=1} ogf] A218731 10.756 [-28*f(x)*x^2+29*f(x)*x-f(x)+x ogf] A218731 12.6176 [-(56*x-29)/(28*x^2-29*x+1) lgdogf] A218731 18.7461 [x/(28*x-1)/(x-1) ogf] A218731 7.90499 [{a(n+2)-29*a(n+1)+28*a(n),a(0)=0,a(1)=1} ogf] A218732 10.8507 [-29*f(x)*x^2+30*f(x)*x-f(x)+x ogf] A218732 12.7288 [-(58*x-30)/(29*x^2-30*x+1) lgdogf] A218732 18.9113 [x/(29*x-1)/(x-1) ogf] A218732 7.97464 [{a(n+2)-30*a(n+1)+29*a(n),a(0)=0,a(1)=1} ogf] A218733 11.1694 [-(60*x-31)/(30*x^2-31*x+1) lgdogf] A218733 16.5945 [x/(30*x-1)/(x-1) ogf] A218733 6.99769 [{a(n+2)-31*a(n+1)+30*a(n),a(0)=0,a(1)=1} ogf] A218733 9.52145 [-30*f(x)*x^2+31*f(x)*x-f(x)+x ogf] A218734 10.8981 [-31*f(x)*x^2+32*f(x)*x-f(x)+x ogf] A218734 12.7843 [-(62*x-32)/(31*x^2-32*x+1) lgdogf] A218734 18.9939 [x/(31*x-1)/(x-1) ogf] A218734 8.00946 [{a(n+2)-32*a(n+1)+31*a(n),a(0)=0,a(1)=1} ogf] A218735 11.9994 [-(x-1)*(5*x^2+11*x+5)/(x^2+x-1)/(x^2-x-1) ogf] A218735 7.42817 [(464*f(x)-755)*(f(x)*x^4-3*f(x)*x^2+5*x^3+6*x^2+f(x)-6*x-5) ogf] A218736 10.0240 [-(66*x-34)/(33*x^2-34*x+1) lgdogf] A218736 11.2772 [-33*f(x)*x^2+34*f(x)*x-f(x)+x ogf] A218736 14.8928 [x/(33*x-1)/(x-1) ogf] A218736 6.28008 [{a(n+2)-34*a(n+1)+33*a(n),a(0)=0,a(1)=1} ogf] A218737 10.0240 [-(68*x-35)/(34*x^2-35*x+1) lgdogf] A218737 11.2772 [-34*f(x)*x^2+35*f(x)*x-f(x)+x ogf] A218737 14.8928 [x/(34*x-1)/(x-1) ogf] A218737 6.28008 [{a(n+2)-35*a(n+1)+34*a(n),a(0)=0,a(1)=1} ogf] A218738 10.0773 [-(70*x-36)/(35*x^2-36*x+1) lgdogf] A218738 11.372 [-35*f(x)*x^2+36*f(x)*x-f(x)+x ogf] A218738 14.9720 [x/(35*x-1)/(x-1) ogf] A218738 6.31349 [{a(n+2)-36*a(n+1)+35*a(n),a(0)=0,a(1)=1} ogf] A218739 10.1839 [-(72*x-37)/(36*x^2-37*x+1) lgdogf] A218739 11.4667 [-36*f(x)*x^2+37*f(x)*x-f(x)+x ogf] A218739 15.1304 [x/(36*x-1)/(x-1) ogf] A218739 6.38030 [{a(n+2)-37*a(n+1)+36*a(n),a(0)=0,a(1)=1} ogf] A218740 10.1839 [-(74*x-38)/(37*x^2-38*x+1) lgdogf] A218740 11.5141 [-37*f(x)*x^2+38*f(x)*x-f(x)+x ogf] A218740 15.1304 [x/(37*x-1)/(x-1) ogf] A218740 6.38030 [{a(n+2)-38*a(n+1)+37*a(n),a(0)=0,a(1)=1} ogf] A218741 10.2906 [-(76*x-39)/(38*x^2-39*x+1) lgdogf] A218741 15.2889 [x/(38*x-1)/(x-1) ogf] A218741 6.44711 [{a(n+2)-39*a(n+1)+38*a(n),a(0)=0,a(1)=1} ogf] A218741 8.77229 [-38*f(x)*x^2+39*f(x)*x-f(x)+x ogf] A218742 10.3439 [-(78*x-40)/(39*x^2-40*x+1) lgdogf] A218742 15.3681 [x/(39*x-1)/(x-1) ogf] A218742 6.48051 [{a(n+2)-40*a(n+1)+39*a(n),a(0)=0,a(1)=1} ogf] A218742 8.81774 [-39*f(x)*x^2+40*f(x)*x-f(x)+x ogf] A218743 10.4505 [-(80*x-41)/(40*x^2-41*x+1) lgdogf] A218743 15.5265 [x/(40*x-1)/(x-1) ogf] A218743 6.54733 [{a(n+2)-41*a(n+1)+40*a(n),a(0)=0,a(1)=1} ogf] A218743 8.90865 [-40*f(x)*x^2+41*f(x)*x-f(x)+x ogf] A218744 10.4505 [-(82*x-42)/(41*x^2-42*x+1) lgdogf] A218744 15.5265 [x/(41*x-1)/(x-1) ogf] A218744 6.54733 [{a(n+2)-42*a(n+1)+41*a(n),a(0)=0,a(1)=1} ogf] A218744 8.90865 [-41*f(x)*x^2+42*f(x)*x-f(x)+x ogf] A218745 10.5038 [-(84*x-43)/(42*x^2-43*x+1) lgdogf] A218745 15.6057 [x/(42*x-1)/(x-1) ogf] A218745 6.58072 [{a(n+2)-43*a(n+1)+42*a(n),a(0)=0,a(1)=1} ogf] A218745 8.9541 [-42*f(x)*x^2+43*f(x)*x-f(x)+x ogf] A218746 10.5572 [-(86*x-44)/(43*x^2-44*x+1) lgdogf] A218746 15.6849 [x/(43*x-1)/(x-1) ogf] A218746 6.61413 [{a(n+2)-44*a(n+1)+43*a(n),a(0)=0,a(1)=1} ogf] A218746 8.99955 [-43*f(x)*x^2+44*f(x)*x-f(x)+x ogf] A218747 10.6638 [-(88*x-45)/(44*x^2-45*x+1) lgdogf] A218747 15.8434 [x/(44*x-1)/(x-1) ogf] A218747 6.68094 [{a(n+2)-45*a(n+1)+44*a(n),a(0)=0,a(1)=1} ogf] A218747 9.09045 [-44*f(x)*x^2+45*f(x)*x-f(x)+x ogf] A218748 10.6638 [-(90*x-46)/(45*x^2-46*x+1) lgdogf] A218748 15.8434 [x/(45*x-1)/(x-1) ogf] A218748 6.68094 [{a(n+2)-46*a(n+1)+45*a(n),a(0)=0,a(1)=1} ogf] A218748 9.09045 [-45*f(x)*x^2+46*f(x)*x-f(x)+x ogf] A218749 10.6638 [-(92*x-47)/(46*x^2-47*x+1) lgdogf] A218749 15.8434 [x/(46*x-1)/(x-1) ogf] A218749 6.68094 [{a(n+2)-47*a(n+1)+46*a(n),a(0)=0,a(1)=1} ogf] A218749 9.09045 [-46*f(x)*x^2+47*f(x)*x-f(x)+x ogf] A218750 10.8771 [-(94*x-48)/(47*x^2-48*x+1) lgdogf] A218750 16.1602 [x/(47*x-1)/(x-1) ogf] A218750 6.81455 [{a(n+2)-48*a(n+1)+47*a(n),a(0)=0,a(1)=1} ogf] A218750 9.27226 [-47*f(x)*x^2+48*f(x)*x-f(x)+x ogf] A218751 10.8771 [-(96*x-49)/(48*x^2-49*x+1) lgdogf] A218751 16.1602 [x/(48*x-1)/(x-1) ogf] A218751 6.81455 [{a(n+2)-49*a(n+1)+48*a(n),a(0)=0,a(1)=1} ogf] A218751 9.27226 [-48*f(x)*x^2+49*f(x)*x-f(x)+x ogf] A218752 10.7242 [-(100*x-51)/(50*x^2-51*x+1) lgdogf] A218752 16.2395 [x/(50*x-1)/(x-1) ogf] A218752 6.84796 [{a(n+2)-51*a(n+1)+50*a(n),a(0)=0,a(1)=1} ogf] A218752 9.31772 [-50*f(x)*x^2+51*f(x)*x-f(x)+x ogf] A218753 10.8771 [-(98*x-50)/(49*x^2-50*x+1) lgdogf] A218753 16.1602 [x/(49*x-1)/(x-1) ogf] A218753 6.81455 [{a(n+2)-50*a(n+1)+49*a(n),a(0)=0,a(1)=1} ogf] A218753 9.27226 [-49*f(x)*x^2+50*f(x)*x-f(x)+x ogf] A218759 5.88850 [-(2*x^6-4*x^4+x^3-4*x^2-2*x-2)/(2*x^7-2*x^6-2*x^5-3*x^3-x^2-2*x+1) ogf] A218804 5.38661 [-(x^4+3)*(x+1)^2/(x^7+x^6+x^5+x^4+3*x^3+3*x^2+3*x-1) ogf] A218805 5.06543 [-(x+1)*(x^5+3*x^4+5*x+7)/(3*x^7+3*x^6+3*x^5+3*x^4+7*x^3+7*x^2+7*x-1) ogf] A218806 4.06364 [-(3*x^6+12*x^5-3*x^4+4*x^3+9*x^2+24*x+15)/(9*x^7+9*x^6+9*x^5+9*x^4+15*x^3+15*x^2+15*x-1) ogf] A218832 8.70880 [-x*(x^4-4*x^3+6*x^2+8*x+1)/(x+1)/(x-1)^5 ogf] A218836 11.2698 [-(x+2)*(x+1)/(x^3+3*x^2+2*x-1) ogf] A218836 6.08371 [{-a(n+3)+2*a(n+2)+3*a(n+1)+a(n),a(0)=2,a(1)=7,a(2)=21} ogf] A218836 6.87459 [-(-x^4-6*x^3-13*x^2-14*x-7)/(-x^5-6*x^4-13*x^3-11*x^2-x+2) lgdogf] A218836 7.23564 [-(40*f(x)+23)*(f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)+1) ogf] A218837 10.3879 [-(x+2)^2/(x^3+3*x^2+4*x-1) ogf] A218837 5.23689 [-(2133*f(x)+5455)*(f(x)*x^3+3*f(x)*x^2+4*f(x)*x+x^2-f(x)+4*x+4) ogf] A218837 5.55845 [{-a(n+3)+4*a(n+2)+3*a(n+1)+a(n),a(0)=4,a(1)=20,a(2)=93} ogf] A218837 7.72760 [-(-x^3-6*x^2-8*x-10)/(-x^4-5*x^3-10*x^2-7*x+2) lgdogf] A218838 5.77453 [-(3*x^5-x^4-7*x^3+19*x^2+8*x+7)/(9*x^5-9*x^4+24*x^3+5*x^2+7*x-1) ogf] A218843 5.13477 [-(2*x^8-x^6-7*x^5-x^4-7*x^3-5*x^2-5*x-1)/(2*x^7-2*x^6-2*x^5-3*x^3-x^2-2*x+1) ogf] A218864 10.0557 [-x*(x^2+16*x+1)/(x+1)^2/(x-1)^3 ogf] A218864 10.7086 [-(-3*x^3-65*x^2-23*x-17)/(-x^4-16*x^3+16*x+1) lgdogf] A218892 6.87139 [-2*(2*x^4+9*x^3+4*x^2-x-2)/(4*x^5+8*x^4+5*x^3-2*x^2-4*x+1) ogf] A218898 9.95549 [-2*(x^4+x^3-x-2)/(2*x^5-3*x^2-x+1) ogf] A218913 2.36977 [(2*f(x)*x-f(x)-x+1)^3 ogf] A218955 3.50079 [-(f(x)*x-f(x)+1)^3 ogf] A218960 3.75333 [(f(x)*x-f(x)+1)^3 ogf] A218984 12.0870 [-(2*x^2+3*x-4)/(x-1)/(2*x^2+4*x-1) ogf] A218984 6.09346 [-(2821*f(x)-1312)*(2*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+2*x^2+f(x)+3*x-4) ogf] A218984 6.46761 [{a(n+3)-5*a(n+2)+2*a(n+1)+2*a(n),a(0)=4,a(1)=17,a(2)=75} ogf] A218984 7.15833 [-(-4*x^4-12*x^3+8*x^2+20*x-17)/(-4*x^5-10*x^4+12*x^3+21*x^2-23*x+4) lgdogf] A218985 12.2433 [-(2*x^2+2*x-5)/(x-1)/(2*x^2+4*x-1) ogf] A218985 6.22369 [-(1349*f(x)-531)*(2*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+2*x^2+f(x)+2*x-5) ogf] A218985 6.49428 [{a(n+3)-5*a(n+2)+2*a(n+1)+2*a(n),a(0)=5,a(1)=23,a(2)=103} ogf] A218985 7.32198 [-(-4*x^4-8*x^3+16*x^2+24*x-23)/(-4*x^5-8*x^4+16*x^3+18*x^2-27*x+5) lgdogf] A218986 12.2433 [-(3*x^2+2*x-4)/(x-1)/(3*x^2+4*x-1) ogf] A218986 6.32917 [(13573*f(x)-7101)*(3*f(x)*x^3+f(x)*x^2-5*f(x)*x+3*x^2+f(x)+2*x-4) ogf] A218986 6.55125 [{-a(n+3)+5*a(n+2)-a(n+1)-3*a(n),a(0)=4,a(1)=18,a(2)=83} ogf] A218986 7.25089 [-(-9*x^4-12*x^3+19*x^2+14*x-18)/(-9*x^5-9*x^4+25*x^3+11*x^2-22*x+4) lgdogf] A218987 11.5653 [-(3*x^2+x-5)/(x-1)/(3*x^2+4*x-1) ogf] A218987 5.87905 [-(1489*f(x)-885)*(3*f(x)*x^3+f(x)*x^2-5*f(x)*x+3*x^2+f(x)+x-5) ogf] A218987 6.13465 [{a(n+3)-5*a(n+2)+a(n+1)+3*a(n),a(0)=5,a(1)=24,a(2)=112} ogf] A218987 6.98500 [-(-9*x^4-6*x^3+29*x^2+16*x-24)/(-9*x^5-6*x^4+29*x^3+7*x^2-26*x+5) lgdogf] A218988 13.2519 [-(4*x^2+x-4)/(x-1)/(4*x^2+4*x-1) ogf] A218988 6.88578 [-(-16*x^4-8*x^3+28*x^2+8*x-19)/(-16*x^5-4*x^4+36*x^3+x^2-21*x+4) lgdogf] A218988 7.31615 [{-a(n+3)+5*a(n+2)-4*a(n),a(0)=4,a(1)=19,a(2)=91} ogf] A218988 7.39317 [(91*f(x)-74)*(4*f(x)*x^3-5*f(x)*x+4*x^2+f(x)+x-4) ogf] A218989 14.5256 [-(4*x^2-5)/(x-1)/(4*x^2+4*x-1) ogf] A218989 7.33769 [{a(n+3)-5*a(n+2)+4*a(n),a(0)=5,a(1)=25,a(2)=121} ogf] A218989 7.73649 [(75*f(x)-121)*(4*f(x)*x^3-5*f(x)*x+4*x^2+f(x)-5) ogf] A218989 8.27623 [-(-16*x^4+40*x^2+8*x-25)/(-16*x^5+40*x^3-4*x^2-25*x+5) lgdogf] A218990 11.6547 [-(x^2-4*x-6)/(x+1)/(x^2-6*x+1) ogf] A218990 5.9245 [(262001*f(x)+34599)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+x^2+f(x)-4*x-6) ogf] A218990 6.18208 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=6,a(1)=34,a(2)=199} ogf] A218990 7.10939 [-(-x^4+8*x^3-7*x^2-58*x-34)/(-x^5+9*x^4-9*x^3-51*x^2-26*x+6) lgdogf] A218991 4.90211 [-(7445*f(x)-1487)*(f(x)*x^3+5*f(x)*x^2-7*f(x)*x+x^2+f(x)+6*x-6) ogf] A218991 5.15787 [{a(n+3)-7*a(n+2)+5*a(n+1)+a(n),a(0)=6,a(1)=36,a(2)=221} ogf] A218991 9.72385 [-(x^2+6*x-6)/(x-1)/(x^2+6*x-1) ogf] A218992 4.91104 [-(35359*f(x)-5649)*(f(x)*x^3+5*f(x)*x^2-7*f(x)*x+x^2+f(x)+5*x-7) ogf] A218992 5.20997 [{a(n+3)-7*a(n+2)+5*a(n+1)+a(n),a(0)=7,a(1)=44,a(2)=272} ogf] A218992 9.82207 [-(x^2+5*x-7)/(x-1)/(x^2+6*x-1) ogf] A218997 6.25578 [-2*(36*x^4+54*x^3+42*x^2+15*x+2)/(72*x^5+63*x^4+66*x^3+15*x^2+4*x-1) ogf] A219003 10.9929 [-(3*x+1)^2/(9*x^3-3*x^2+4*x-1) ogf] A219003 5.78077 [-(7*f(x)+19)*(9*f(x)*x^3-3*f(x)*x^2+4*f(x)*x+9*x^2-f(x)+6*x+1) ogf] A219003 5.88218 [{a(n+3)-4*a(n+2)+3*a(n+1)-9*a(n),a(0)=1,a(1)=10,a(2)=46} ogf] A219003 8.70869 [-(27*x^3+27*x^2-18*x+10)/(27*x^4+9*x^2+x-1) lgdogf] A219004 5.43293 [-(15*x^5+32*x^4-28*x^3-79*x^2-29*x-1)/(15*x^6+17*x^5-45*x^4-49*x^3+3*x^2-7*x+1) ogf] A219020 10.5543 [-(x^2-4*x+1)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A219021 10.2987 [-(x^2-6*x+1)/(x-1)/(x^2-14*x+1)/(x^2-4*x+1) ogf] A219054 11.6789 [(x^2+5*x+2)/(x-1)^4 ogf] A219054 12.2098 [-(2*x^2+17*x+13)/(x^3+4*x^2-3*x-2) lgdogf] A219054 4.02922 [{(2*n+8)*a(n+4)+(-4+3*n)*a(n+3)+(-25-4*n)*a(n+2)+(-3-n)*a(n+1),a(0)=2,a(1)=13,a(2)=41,a(3)=94} ogf] A219054 5.63528 [(15648768*f(x)+67671785)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-5*x-2) ogf] A219056 10.3890 [-(2*x^3+36*x^2+66*x+16)/(x^4+10*x^3-10*x-1) lgdogf] A219056 4.44419 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+32*n+72)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=3,a(2)=48} ogf] A219056 8.60166 [-3*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A219070 7.08759 [x*(x^4+31*x^3+98*x^2+51*x+3)/(x-1)^6 ogf] A219070 7.42192 [-(-2*x^4-97*x^3-485*x^2-451*x-69)/(-x^5-30*x^4-67*x^3+47*x^2+48*x+3) lgdogf] A219073 4.28482 [-(3*x^6+54*x^5-15*x^4-12*x^3-47*x^2-22*x-5)/(3*x^7+33*x^6-27*x^5-7*x^4-51*x^3-11*x^2-5*x+1) ogf] A219079 4.38281 [(141721183*f(x)-16036134)*(6*f(x)*x^4+7*f(x)*x^3+f(x)*x^2+6*x^3+3*f(x)*x+13*x^2-f(x)+8*x+1) ogf] A219079 8.59704 [-(6*x+1)*(x+1)^2/(6*x^4+7*x^3+x^2+3*x-1) ogf] A219080 4.27489 [-(10*x^6+11*x^5+21*x^4-48*x^3-86*x^2-35*x-1)/(10*x^7+x^6+10*x^5-61*x^4-46*x^3-5*x^2-6*x+1) ogf] A219085 5.96464 [x*(x^5+x^4+7*x^3+6*x^2+6*x+3)/(x^2+1)/(x+1)/(x-1)^4 ogf] A219086 10.1764 [-(15*x^2+66*x+39)/(5*x^3+9*x^2-9*x-5) lgdogf] A219086 8.11689 [-x*(5*x^2+14*x+5)/(x-1)^5 ogf] A219100 7.14206 [-(x^4-2*x^3+2*x^2+3*x+2)/(x^5-3*x^4+5*x^3-2*x^2+4*x-1) ogf] A219113 4.92177 [(51337691*f(x)-112206)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+x^2-f(x)-38*x+1) ogf] A219113 5.25545 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=1,a(1)=61,a(2)=5941} ogf] A219113 5.48799 [-(-x^4+76*x^3-3666*x^2+196*x-61)/(-x^5+137*x^4-3862*x^3+3862*x^2-137*x+1) lgdogf] A219113 9.68973 [-(x^2-38*x+1)/(x-1)/(x^2-98*x+1) ogf] A219129 4.77884 [-(4*x^7+10*x^6+6*x^4+5*x^3-3*x^2+3*x-9)/(4*x^8+6*x^7-6*x^6+10*x^5-7*x^4+6*x^3-6*x^2-2*x+1) ogf] A219136 5.91839 [-(4*x^5+4*x^4-3*x^3-4*x^2-2*x-2)/(2*x^2+1)/(2*x^4+x^3-3*x^2-2*x+1) ogf] A219137 4.39966 [-(4*x^7+6*x^6-12*x^5-20*x^4-3*x^3+2*x^2+2*x+4)/(4*x^8+2*x^7-10*x^6-12*x^5+x^3+x^2+4*x-1) ogf] A219143 4.93563 [(5*f(x)-98)*(2*f(x)*x^4-f(x)*x^3+4*x^4+f(x)*x^2-2*x^3+2*f(x)*x+5*x^2-f(x)+4*x+1) ogf] A219143 8.47767 [-(4*x^4-2*x^3+5*x^2+4*x+1)/(2*x^4-x^3+x^2+2*x-1) ogf] A219150 10.0172 [(x^3-3*x^2-2)/(x^5+4*x^3-x^2+2*x-1) ogf] A219151 3.63998 [-(3*x^8-2*x^7-3*x^6+16*x^5-18*x^4+26*x^3-20*x^2+7*x-4)/(x^2-x+1)/(4*x^8+7*x^7-3*x^6-x^5-9*x^4-9*x^3+2*x^2-3*x+1) ogf] A219167 7.36168 [(x^5-13*x^4+22*x^3-18*x^2+8*x-3)/(x-1)^5 ogf] A219190 10.1906 [-2*x*(2*x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A219190 11.3073 [-(6*x^3+6*x^2+15*x+3)/(2*x^4+x^3-x-2) lgdogf] A219191 11.0303 [-(-9*x^3-7*x^2-22*x-4)/(-3*x^4-x^3+x+3) lgdogf] A219191 9.94086 [-2*x*(3*x^2+x+3)/(x+1)^2/(x-1)^3 ogf] A219205 10.0676 [-27*f(x)*x^2+12*f(x)*x-f(x)+2*x ogf] A219205 11.8101 [-(54*x-12)/(27*x^2-12*x+1) lgdogf] A219205 15.7468 [2*x/(9*x-1)/(3*x-1) ogf] A219205 7.39910 [{a(n+2)-12*a(n+1)+27*a(n),a(0)=0,a(1)=2} ogf] A219211 6.29023 [(x^7-4*x^6+8*x^5-16*x^4+23*x^3-22*x^2+12*x-3)/(x-1)^5 ogf] A219222 4.56042 [-(2*x^16+28*x^15+20*x^14+33*x^13+40*x^12+26*x^11+32*x^10+32*x^9+37*x^8+32*x^7+25*x^6+20*x^5+13*x^4+10*x^3+8*x^2+5*x+2)/(4*x^9-1) ogf] A219233 11.4172 [-(3*x^2+4*x+3)/(-x^4-3*x^3+3*x+1) lgdogf] A219233 14.9123 [-(x-1)*(x+1)/(x^2+3*x+1) ogf] A219233 7.16376 [{-a(n+3)-3*a(n+2)-a(n+1),a(0)=1,a(1)=-3,a(2)=7} ogf] A219233 8.11892 [(80*f(x)+1)*(f(x)*x^2+3*f(x)*x+x^2+f(x)-1) ogf] A219257 10.6386 [-(27*x^3+25*x^2+67*x+13)/(9*x^4+4*x^3-4*x-9) lgdogf] A219257 9.98188 [-x*(9*x^2+4*x+9)/(x+1)^2/(x-1)^3 ogf] A219258 10.4081 [-(-75*x^3-41*x^2-179*x-29)/(-25*x^4-4*x^3+4*x+25) lgdogf] A219258 9.90649 [-x*(25*x^2+4*x+25)/(x+1)^2/(x-1)^3 ogf] A219259 10.3117 [-(-69*x^3-39*x^2-165*x-27)/(-23*x^4-4*x^3+4*x+23) lgdogf] A219259 9.81476 [-x*(23*x^2+4*x+23)/(x+1)^2/(x-1)^3 ogf] A219286 6.76295 [(x^6+2*x^5-14*x^4+23*x^3-19*x^2+9*x-3)/(x-1)^5 ogf] A219293 6.88809 [(2*x^6-5*x^5-2*x^4+10*x^3-12*x^2+8*x-3)/(x-1)^5 ogf] A219312 5.93075 [-4*f(x)^2*x^3+10*f(x)^2*x^2-7*f(x)^2*x+4*f(x)*x^2+f(x)^2-5*f(x)*x+f(x)-x ogf] A219314 5.94864 [-4*f(x)^2*x^3-6*f(x)^2*x^2-f(x)^2*x-2*f(x)*x^2+f(x)^2-f(x)*x+f(x)-x ogf] A219349 6.41177 [(x^7-3*x^6+7*x^5-17*x^4+25*x^3-23*x^2+12*x-3)/(x-1)^5 ogf] A219355 9.27239 [x*(2*x^7+5*x^6+8*x^5+2*x^4-6*x^3+2*x+1)/(x^3+x^2+x-1)^2 ogf] A219367 3.95373 [(6*x^9-25*x^8+84*x^7-219*x^6+353*x^5-349*x^4+215*x^3-87*x^2+23*x-4)/(x-1)^9 ogf] A219382 5.42550 [-(x^9-6*x^8+13*x^7-14*x^6+5*x^5+15*x^4-35*x^3+39*x^2-23*x+6)/(x-1)^5 ogf] A219389 10.5632 [-(33*x^3+27*x^2+81*x+15)/(11*x^4+4*x^3-4*x-11) lgdogf] A219389 9.92689 [-x*(11*x^2+4*x+11)/(x+1)^2/(x-1)^3 ogf] A219390 10.6378 [-(-9*x^3-7*x^2-22*x-4)/(-3*x^4-x^3+x+3) lgdogf] A219390 9.35613 [-4*x*(3*x^2+x+3)/(x+1)^2/(x-1)^3 ogf] A219391 7.24574 [-x*(3*x^6+5*x^5+11*x^4+4*x^3+11*x^2+5*x+3)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A219392 10.8027 [-(-15*x^3-9*x^2-36*x-6)/(-5*x^4-x^3+x+5) lgdogf] A219392 9.63131 [-4*x*(5*x^2+x+5)/(x+1)^2/(x-1)^3 ogf] A219393 10.3908 [-x*(21*x^2+4*x+21)/(x+1)^2/(x-1)^3 ogf] A219393 10.9169 [-(-63*x^3-37*x^2-151*x-25)/(-21*x^4-4*x^3+4*x+21) lgdogf] A219394 10.2259 [-(-45*x^3-31*x^2-109*x-19)/(-15*x^4-4*x^3+4*x+15) lgdogf] A219394 9.73305 [-x*(15*x^2+4*x+15)/(x+1)^2/(x-1)^3 ogf] A219395 10.0197 [-4*x*(4*x^2+x+4)/(x+1)^2/(x-1)^3 ogf] A219395 11.2383 [-(-12*x^3-8*x^2-29*x-5)/(-4*x^4-x^3+x+4) lgdogf] A219396 9.44786 [-x*(17*x^2+4*x+17)/(x+1)^2/(x-1)^3 ogf] A219396 9.92623 [-(-51*x^3-33*x^2-123*x-21)/(-17*x^4-4*x^3+4*x+17) lgdogf] A219398 4.76558 [(2*x^7+7*x^6-7*x^5-3*x^4-9*x^3+12*x^2-8*x+4)/(2*x^7+5*x^6-2*x^5-4*x^4-3*x^3+2*x^2-3*x+1) ogf] A219405 5.06002 [(3587*f(x)-1731)*(9*f(x)*x^3+15*f(x)*x^2+4*f(x)*x+9*x^2-f(x)+12*x+4) ogf] A219405 5.19088 [{a(n+3)-4*a(n+2)-15*a(n+1)-9*a(n),a(0)=4,a(1)=28,a(2)=181} ogf] A219405 6.92117 [-(-27*x^3-54*x^2-48*x-14)/(-27*x^4-63*x^3-42*x^2-5*x+2) lgdogf] A219405 9.55781 [-(3*x+2)^2/(9*x^3+15*x^2+4*x-1) ogf] A219406 4.57123 [-(2*x+1)*(6*x^4+2*x^3-44*x^2-35*x-7)/(4*x^6+11*x^5-27*x^4-96*x^3-57*x^2-7*x+1) ogf] A219411 6.80034 [-(4*x^4+x^3+3*x^2+3*x+1)/(x^2-x+1)/(4*x^3+x^2+3*x-1) ogf] A219422 5.21296 [-(2*x^7+9*x^6+9*x^5-x^4-7*x^3-5*x^2-5*x-1)/(2*x^2+1)/(2*x^4+x^3-3*x^2-2*x+1) ogf] A219462 11.6883 [-25*f(x)*x^2+15*f(x)*x-f(x)+5*x ogf] A219462 13.7112 [-(50*x-15)/(25*x^2-15*x+1) lgdogf] A219462 18.2816 [5*x/(25*x^2-15*x+1) ogf] A219462 8.59017 [{a(n+2)-15*a(n+1)+25*a(n),a(0)=0,a(1)=5} ogf] A219465 4.57150 [(x^7+2*x^6-10*x^5+8*x^4+7*x^3-19*x^2+13*x-4)/(x-1)^9 ogf] A219472 3.51654 [(7*x^11-49*x^10+129*x^9-124*x^8-35*x^7+91*x^6+153*x^5-424*x^4+413*x^3-221*x^2+67*x-10)/(x-1)^9 ogf] A219498 8.49486 [(x^5+2*x^4-11*x^3+14*x^2-9*x+4)/(x-1)^4 ogf] A219499 6.73622 [(3*x^6-4*x^5-12*x^4+32*x^3-31*x^2+16*x-5)/(x-1)^5 ogf] A219500 5.72860 [(x^8+x^7-10*x^6+46*x^4-77*x^3+59*x^2-25*x+6)/(x-1)^6 ogf] A219501 4.50591 [(3*x^9-8*x^8-2*x^7+13*x^6+38*x^5-134*x^4+161*x^3-101*x^2+36*x-7)/(x-1)^7 ogf] A219514 6.34024 [(2*x^7-5*x^6+9*x^5-17*x^4+23*x^3-21*x^2+11*x-3)/(x-1)^5 ogf] A219520 6.31005 [-(x^8-4*x^7+11*x^5-7*x^4-11*x^3+21*x^2-14*x+4)/(x-1)^5 ogf] A219527 6.54950 [(x^5-x^4-2*x^3+4*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A219529 11.0265 [(x+1)^4/(x^2+x+1)/(x-1)^2 ogf] A219529 13.2662 [-(-5*x^2-2*x-5)/(-x^4-x^3+x+1) lgdogf] A219529 33.8130 [x^2-4*x+5 ogf_with_Euler_transform] A219529 6.58171 [(29*f(x)+40)*(f(x)*x^4-f(x)*x^3-x^4-4*x^3-f(x)*x-6*x^2+f(x)-4*x-1) ogf] A219535 12.6941 [-1+f(x)-2*f(x)^2*x-f(x)^3*x ogf] A219536 11.9322 [-1+f(x)-f(x)^2*x-2*f(x)^3*x ogf] A219547 4.38121 [8*(x^2+1)*(x^8-x^7+x^5-x^4+x^3-x+1)*(x^2+x+1)^2/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A219555 16.0893 [-(-x-2)/(x^4-2*x^2+1) ogf_with_Euler_transform] A219572 3.91401 [(5*x^9-33*x^8+127*x^7-296*x^6+420*x^5-376*x^4+218*x^3-86*x^2+23*x-4)/(x-1)^9 ogf] A219579 6.07765 [(3*x^6-17*x^5+50*x^4-59*x^3+33*x^2-11*x+4)/(x-1)^6 ogf] A219587 14.0914 [-(5*x-1)/(4*x^3+6*x^2-7*x+1) ogf] A219587 6.66823 [{a(n+3)-7*a(n+2)+6*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A219587 6.91521 [-(19*f(x)-9)*(4*f(x)*x^3+6*f(x)*x^2-7*f(x)*x+f(x)+5*x-1) ogf] A219587 8.58439 [-(40*x^3+18*x^2-12*x+2)/(20*x^4+26*x^3-41*x^2+12*x-1) lgdogf] A219589 7.15431 [(2*x^5-12*x^4+19*x^3-16*x^2+8*x-3)/(x-1)^5 ogf] A219601 12.4982 [-(-x^4-x^3-x^2-x-1)/(-x^6+1) ogf_with_Euler_transform] A219601 99.9999 Evaluated at exp(-Pi) 1/3*exp(5/24*Pi)*2^(3/8)*3^(7/12)/GAMMA(2/3)^(1/3)/GAMMA(3/4)^(1/3)*Pi^(1/6)/(2^(1/2)*(1+3^(1/2)))^(1/3)*GAMMA(11/12)^(1/3) A219607 10.1310 [-(-x^7-x^6+x^5+x^3-x^2-x)/(-x^10+1) ogf_with_Euler_transform] A219619 7.11856 [-(-3*x^4-24*x^3-66*x^2-24*x-3)/(-3*x^5-3*x^4-10*x^3+18*x^2-3*x+1) lgdegf] A219619 7.48932 [-(3*x^4+6*x^3+16*x^2-2*x+1)/(x-1)^5 egf] A219621 3.98295 [{(-131*n^2-983*n-1770)*a(n+1)+(232*n^2+1062*n+74)*a(n+2)+(-101*n^2-199*n+312)*a(n+3),a(0)=3,a(1)=11,a(2)=27} ogf] A219621 8.92730 [-(x^3+2*x^2-4*x+3)/(x-1)^5 ogf] A219621 9.47165 [-(2*x^3+9*x^2-12*x+11)/(x^4+x^3-6*x^2+7*x-3) lgdogf] A219628 6.37400 [(x^7+x^6-12*x^5+7*x^4+16*x^3-29*x^2+19*x-6)/(x-1)^5 ogf] A219656 4.31823 [x*(x^27-x^23+x^22-x^20-x^19+x^17-x^15+x^13-x^11+x^9+x^2-x-1)/(x+1)/(x^4+1)/(x^16-x^12+x^8-x^4+1)/(x-1)^3 ogf] A219657 4.40290 [x*(x^27-x^23+2*x^22-2*x^20-x^19+x^17-x^15+x^13-x^11+x^9+2*x^2-x-2)/(x+1)/(x^4+1)/(x^16-x^12+x^8-x^4+1)/(x-1)^3 ogf] A219680 6.91796 [(x^6-2*x^5-5*x^4+16*x^3-19*x^2+11*x-3)/(x-1)^5 ogf] A219699 7.32302 [(5*x^5-15*x^4+20*x^3-18*x^2+10*x-3)/(x-1)^5 ogf] A219708 4.06192 [-(3*x^8-24*x^7+79*x^6-147*x^5+173*x^4-135*x^3+71*x^2-23*x+4)/(x-1)^9 ogf] A219715 4.75490 [-(4*x^9-30*x^8+31*x^7-16*x^6+27*x^5-98*x^4+150*x^3-117*x^2+47*x-10)/(x-1)^6 ogf] A219721 10.7691 [(x^4+7*x^3+5*x^2+7*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A219737 3.99427 [-(x+1)*(x^7-3*x^6+2*x^5+2*x^4+x^3-14*x^2-14*x-7)/(x^8-3*x^7+x^6+6*x^5-4*x^4-15*x^3-10*x^2-x+1) ogf] A219751 13.1004 [-x^4*(x^2+3*x-2)/(x+1)/(2*x-1)^2 ogf] A219751 4.36680 [{(-2*n-16)*a(n+1)+(-n-9)*a(n+2)+(n+7)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2,a(5)=3} ogf] A219751 9.86574 [-(2*x^3+13*x^2-4*x-3)/(2*x^4+7*x^3-2*x^2-5*x+2) lgdogf] A219752 9.24391 [-2*x^4*(x-1)*(x^3+x^2+x-1)/(x+1)/(x^2+x-1)/(2*x-1)^2 ogf] A219753 9.40147 [-x^4*(x-1)*(x^3+x^2+x-1)/(x+1)/(x^2+x-1)/(2*x-1)^2 ogf] A219754 10.2460 [-(-4*x^3-6*x^2+5*x+1)/(-2*x^4-3*x^3+2*x^2+2*x-1) lgdogf] A219754 10.6452 [-x^4*(x^2+x-1)/(x+1)^2/(2*x-1)^2 ogf] A219754 4.26916 [{(-2*n^2-12*n-14)*a(n+1)+(-n^2-5*n)*a(n+2)+(n^2+4*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A219755 10.5045 [-x^4*(x^3+3*x^2-1)/(x+1)^2/(2*x-1)^2 ogf] A219755 3.81531 [{(-2*n^2-26*n+72)*a(n+1)+(-n^2-12*n+69)*a(n+2)+(n^2+11*n-48)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1,a(5)=2} ogf] A219755 8.33862 [-(-2*x^4-11*x^3-3*x^2+2*x+2)/(-2*x^5-7*x^4-2*x^3+5*x^2+x-1) lgdogf] A219756 5.25219 [-x^4*(5*x^5-11*x^4+18*x^3-17*x^2+7*x-1)/(x-1)^2/(3*x-1)^2/(x^2-3*x+1)^2 ogf] A219757 6.15965 [x^4*(x^4-x^3-6*x^2+7*x-2)/(x-1)/(x^2-3*x+1)/(2*x-1)^4 ogf] A219758 5.95210 [x^4*(4*x^4-2*x^3-5*x^2+6*x-2)/(x-1)^2/(2*x-1)^5 ogf] A219759 4.25242 [x^4*(16*x^6-57*x^5+41*x^4+8*x^3-24*x^2+12*x-2)/(x-1)/(x^2-3*x+1)/(2*x-1)^6 ogf] A219768 7.56861 [(2*x^2-2*x+1)*(x^3-2*x^2+3*x-3)/(x-1)^5 ogf] A219774 6.51397 [-(2*x^8-6*x^7+3*x^6+5*x^5-17*x^3+24*x^2-14*x+4)/(x-1)^5 ogf] A219779 3.62168 [{(n^3+6*n^2+12*n+8)*a(n+1)+(-3*n^2-18*n-27)*a(n+2)+(3*n+12)*a(n+3)-a(n+4),a(0)=1,a(1)=3,a(2)=15,a(3)=100} ogf] A219788 11.1192 [-(2*x^3-7*x^2+4*x+3)/(x^4-3*x^3+5*x-2) lgdogf] A219788 15.1054 [-(x-2)/(x^3-x^2-2*x+1) ogf] A219788 7.14809 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=8} ogf] A219788 7.34482 [-(95*f(x)+31)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+x-2) ogf] A219803 5.81211 [(x^7+x^6-15*x^5+43*x^4-59*x^3+46*x^2-20*x+4)/(x-1)^6 ogf] A219810 7.37776 [(2*x^5-11*x^4+17*x^3-16*x^2+9*x-3)/(x-1)^5 ogf] A219837 4.26785 [x^4*(x^6-25*x^5+21*x^4+7*x^3-18*x^2+10*x-2)/(x-1)^3/(2*x-1)^6 ogf] A219846 7.83158 [-(-2*x^4+6*x^3-12*x^2+10*x-7)/(-2*x^5+9*x^4-18*x^3+19*x^2-11*x+3) lgdogf] A219846 8.23948 [-(2*x^4-7*x^3+11*x^2-8*x+3)/(x-1)^5 ogf] A219853 9.47048 [-(2*x^6+x^4-3*x^3+14*x^2-11*x+6)/(x-1)^3 ogf] A219933 4.69681 [(12*x^6-39*x^5+45*x^4-16*x^3-13*x^2+13*x-4)/(x-1)^9 ogf] A219940 5.40537 [(11*x^7-51*x^6+109*x^5-67*x^4-43*x^3+76*x^2-37*x+10)/(x-1)^6 ogf] A219968 8.99424 [-(x-1)^2*(x^2+x+1)^2/(x^9+x^7-x^6-2*x^4+3*x^3+x-1) ogf] A219977 13.1461 [1/(x^2+1)/(x+1) ogf] A219977 21.4977 [[x^3-1] ogf_with_Euler_transform] A219977 4.85577 [{-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=0} ogf] A219977 5.44434 [(f(x)-1)*(f(x)*x^3+f(x)*x^2+f(x)*x+f(x)-1) ogf] A220000 7.07035 [(16*x^7+15*x^6+16*x^5+15*x^4+16*x^3+16*x^2+15*x+16)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A220011 5.82562 [(x^7+x^6-10*x^5+32*x^4-46*x^3+37*x^2-17*x+4)/(x-1)^6 ogf] A220018 10.0299 [(8*x^4-13*x^3-8*x^2+x-4)/(x-1)^3 ogf] A220018 5.71044 [(7904*f(x)-1003985)*(f(x)*x^3-8*x^4-3*f(x)*x^2+13*x^3+3*f(x)*x+8*x^2-f(x)-x+4) ogf] A220018 7.74584 [-(8*x^4-32*x^3+47*x^2+14*x+11)/(-8*x^5+21*x^4-5*x^3-9*x^2+5*x-4) lgdogf] A220019 10.8343 [(88*x^5-142*x^4-63*x^3-24*x^2-15*x-4)/(x-1)^3 ogf] A220019 7.70254 [-(176*x^5-582*x^4+568*x^3+213*x^2+78*x+27)/(-88*x^6+230*x^5-79*x^4-39*x^3-9*x^2-11*x-4) lgdogf] A220020 10.3030 [-(8*x^4-32*x^3+46*x^2+16*x+10)/(-8*x^5+21*x^4-6*x^3-6*x^2+2*x-3) lgdogf] A220020 13.0075 [2*(8*x^4-13*x^3-7*x^2-x-3)/(x-1)^3 ogf] A220020 6.93733 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=6,a(1)=20,a(2)=56,a(3)=140,a(4)=256} ogf] A220020 7.22638 [-(19888*f(x)-5114229)*(f(x)*x^3-16*x^4-3*f(x)*x^2+26*x^3+3*f(x)*x+14*x^2-f(x)+2*x+6) ogf] A220021 12.7391 [-(-x^2+22*x+27)/(-5*x^4+19*x^3-17*x^2+13*x-10) lgdogf] A220021 13.9951 [(5*x^3-14*x^2+3*x-10)/(x-1)^3 ogf] A220021 7.25294 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=10,a(1)=27,a(2)=65,a(3)=119} ogf] A220021 7.64349 [(27744*f(x)-455299)*(f(x)*x^3-3*f(x)*x^2-5*x^3+3*f(x)*x+14*x^2-f(x)-3*x+10) ogf] A220029 7.34328 [(3*x^5-11*x^4+19*x^3-20*x^2+13*x-5)/(x-1)^5 ogf] A220030 6.18190 [(2*x^3-6*x^2+6*x-3)*(2*x^3-4*x^2+3*x-2)/(x-1)^6 ogf] A220031 4.86315 [(x^8-x^7-17*x^6+66*x^5-113*x^4+115*x^3-76*x^2+31*x-7)/(x-1)^7 ogf] A220033 9.90134 [(x^5+3*x^4-3*x^3-4*x^2+6*x-4)/(x-1)^3 ogf] A220034 6.72510 [(x^8-x^7+2*x^6+3*x^5-12*x^4+2*x^3+13*x^2-12*x+5)/(x-1)^4 ogf] A220035 5.14958 [(x^10+3*x^9-8*x^8+4*x^7+3*x^6-21*x^5+24*x^4+10*x^3-31*x^2+20*x-6)/(x-1)^5 ogf] A220036 3.99506 [(x^13-x^12+x^11+3*x^10-21*x^9+24*x^8+3*x^7-35*x^6+59*x^5-26*x^4-45*x^3+61*x^2-30*x+7)/(x-1)^6 ogf] A220045 5.14113 [-(2*x^9-6*x^8+4*x^7+6*x^6+3*x^5-55*x^4+105*x^3-97*x^2+47*x-10)/(x-1)^6 ogf] A220082 8.00187 [-(x^5+9*x^4+38*x^3+38*x^2+29*x+5)/(x^6+4*x^5+9*x^4-9*x^2-4*x-1) lgdogf] A220082 9.10851 [-(x^4+4*x^3+10*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A220083 12.2126 [-(4*x^2+28*x+13)/(4*x^3+6*x^2-9*x-1) lgdogf] A220083 13.0005 [-(4*x^2+10*x+1)/(x-1)^3 ogf] A220083 6.71694 [(14975*f(x)-91871)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+10*x+1) ogf] A220083 7.07046 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=13,a(2)=40} ogf] A220084 11.5140 [(8*x^2+11*x+1)/(x-1)^4 ogf] A220084 11.8527 [-(16*x^2+49*x+15)/(8*x^3+3*x^2-10*x-1) lgdogf] A220084 3.95090 [{(n+4)*a(n+4)+(15+10*n)*a(n+3)+(-55-3*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=1,a(1)=15,a(2)=62,a(3)=162} ogf] A220084 5.48288 [(352672000*f(x)+3034761331)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-11*x-1) ogf] A220087 15.9947 [(53*x-26)/(2*x-1)/(x-1) ogf] A220087 7.91315 [-(29*f(x)+1379)*(2*f(x)*x^2-3*f(x)*x+f(x)-53*x+26) ogf] A220087 8.94940 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-26,a(1)=-25} ogf] A220087 9.89145 [-(-106*x^2+104*x-25)/(-106*x^3+211*x^2-131*x+26) lgdogf] A220088 15.6615 [(161*x-80)/(2*x-1)/(x-1) ogf] A220088 7.74999 [-(83*f(x)+12881)*(2*f(x)*x^2-3*f(x)*x+f(x)-161*x+80) ogf] A220088 8.94940 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-80,a(1)=-79} ogf] A220088 9.89145 [-(-322*x^2+320*x-79)/(-322*x^3+643*x^2-401*x+80) lgdogf] A220089 15.8413 [(485*x-242)/(2*x-1)/(x-1) ogf] A220089 7.76225 [-(245*f(x)+117371)*(2*f(x)*x^2-3*f(x)*x+f(x)-485*x+242) ogf] A220089 9.02587 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-242,a(1)=-241} ogf] A220089 9.70281 [-(-970*x^2+968*x-241)/(-970*x^3+1939*x^2-1211*x+242) lgdogf] A220094 10.8921 [-(1620*x-99)/(810*x^2-99*x+1) lgdogf] A220094 16.1910 [45/(90*x-1)/(9*x-1) ogf] A220094 6.37304 [(11111*f(x)+158850)*(810*f(x)*x^2-99*f(x)*x+f(x)-45) ogf] A220094 6.73109 [{-a(n+2)+99*a(n+1)-810*a(n),a(0)=45,a(1)=4455} ogf] A220097 7.04490 [(-2*x^2-4*x-1+(4*x^4+16*x^3+21*x^2+10*x+1)^(1/2))/(x+1)^2 revogf] A220101 4.13669 [{(4*n^2+14*n+12)*a(n+1)+(3*n^2+22*n+43)*a(n+2)+(-n^2-7*n-10)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A220101 7.01266 [4*f(x)^2*x^3-f(x)^2*x^2-12*f(x)*x^2+11*f(x)*x+x^2-2*f(x)+2*x ogf] A220123 10.0954 [-(x-1)*(x+1)*(x^2+1)/(x^8-x^6+x^5-5*x^4-x^2-x+1) ogf] A220128 10.2658 [-(3*x^4+4*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x-1)/(x+1) ogf] A220128 6.12764 [(41*f(x)-78)*(f(x)*x^4+f(x)*x^3+3*x^4+4*x^3-f(x)*x+4*x^2-f(x)+2*x+1) ogf] A220129 7.13997 [-(2*x^2+x+1)*(5*x^4+3*x^3+4*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A220147 3.86709 [{(373*n^2+2913*n+5382)*a(n+1)+(-708*n^2-3665*n-1671)*a(n+2)+(335*n^2+904*n-303)*a(n+3),a(0)=3,a(1)=11,a(2)=26} ogf] A220147 8.80097 [-(2*x^3+x^2-4*x+3)/(x-1)^5 ogf] A220147 9.33761 [-(4*x^3+9*x^2-14*x+11)/(2*x^4-x^3-5*x^2+7*x-3) lgdogf] A220154 10.3818 [(4*x^4-8*x^3-8*x^2+7*x-6)/(x-1)^3 ogf] A220154 5.5902 [-(409585*f(x)-40659648)*(f(x)*x^3-4*x^4-3*f(x)*x^2+8*x^3+3*f(x)*x+8*x^2-f(x)-7*x+6) ogf] A220154 8.50424 [-(4*x^4-16*x^3+32*x^2+2*x+11)/(-4*x^5+12*x^4-15*x^2+13*x-6) lgdogf] A220172 7.86313 [-2*(4*x^6-4*x^3+2*x^2-x+1)/(2*x-1)/(2*x^3-1)^2 ogf] A220175 2.36368 [(f(x)-16)*(16*f(x)*x-f(x)+16) ogf] A220185 10.7662 [2*x*(x-5)/(x-1)/(x^2-34*x+1) ogf] A220185 5.56872 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=0,a(1)=10,a(2)=348} ogf] A220185 6.33307 [f(x)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-2*x^2-f(x)+10*x) ogf] A220185 7.17747 [-(2*x^3-50*x^2+350*x-174)/(x^4-40*x^3+210*x^2-176*x+5) lgdogf] A220186 5.03933 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=800} ogf] A220186 5.26839 [(25*f(x)+2)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+8*x^2-f(x)+8*x) ogf] A220186 7.33573 [-(-2*x^3+96*x^2+198*x-100)/(-x^4+98*x^3-98*x+1) lgdogf] A220186 9.82242 [-8*(x+1)*x/(x-1)/(x^2-98*x+1) ogf] A220190 6.93391 [-(8*x^16-8*x^15+3*x^13+x^12-4*x^11+5*x^5+2*x^4-4*x^3+x^2-x+6)/(x-1) ogf] A220191 4.41807 [(4*x^9+4*x^8+14*x^7+2*x^6+5*x^5-19*x^4-10*x^3-9*x^2-2*x-2)/(6*x^7+2*x^6+16*x^5+2*x^4+8*x^3+2*x^2+2*x-1) ogf] A220198 3.95020 [(4*x^9-29*x^8+119*x^7-277*x^6+386*x^5-350*x^4+215*x^3-92*x^2+26*x-4)/(x-1)^9 ogf] A220205 6.15301 [(3*x^6-18*x^5+48*x^4-57*x^3+36*x^2-14*x+4)/(x-1)^6 ogf] A220212 10.6256 [-x*(11*x+1)/(x-1)^5 ogf] A220212 15.5297 [-(-44*x-16)/(-11*x^2+10*x+1) lgdogf] A220212 5.27807 [{(-2-n)*a(n+3)+(6-10*n)*a(n+2)+(44+11*n)*a(n+1),a(0)=0,a(1)=1,a(2)=16} ogf] A220213 3.96929 [-(4*x^8+5*x^7+12*x^6+16*x^5+13*x^4+11*x^3+7*x^2+2*x+2)/(4*x^9+4*x^8+11*x^7+12*x^6+9*x^5+7*x^4+3*x^3+2*x^2+2*x-1) ogf] A220221 7.82895 [(12*x^8-2*x^7-10*x^6+4*x^5-2*x^4-2*x^3-2*x^2+1)/(2*x-1)/(x-1) ogf] A220227 5.04638 [-(x^2+x+1)*(x^2+1)*(x-1)*(2*x+1)^2/(4*x^8+2*x^7+4*x^6-3*x^5-x^4-6*x^3-x^2-2*x+1) ogf] A220236 13.5212 [3*(4*x-3)/(x-1)/(2*x-1)/(4*x-1) ogf] A220236 6.35611 [-(10667*f(x)-50856)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)-12*x+9) ogf] A220236 6.41090 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=9,a(1)=51,a(2)=231} ogf] A220236 8.35578 [-(64*x^3-128*x^2+84*x-17)/(32*x^4-80*x^3+70*x^2-25*x+3) lgdogf] A220249 7.19907 [-(987*x^22-1034*x^21+144*x^9-162*x^8+21*x^4-28*x^3+3*x^2-5*x-2)/(x-1)^2 ogf] A220250 7.10711 [-2*(32*x^4-16*x^2+4*x+1)/(4*x-1)/(2*x-1)^2/(2*x+1)^2 ogf] A220255 3.97732 [-(x^11+x^10-2*x^9-3*x^8+4*x^7+5*x^6+2*x^5+x^4-5*x^3-3*x^2+4*x+2)/(2*x^9+2*x^8-2*x^7-3*x^6-4*x^3+4*x^2+3*x-1) ogf] A220297 4.41263 [(x-1)*(3832*x^5-4660*x^4+2062*x^3-406*x^2+35*x-1)/(11680*x^6-20980*x^5+13840*x^4-4280*x^3+645*x^2-44*x+1) ogf] A220304 4.01390 [(x^9+x^8+2*x^7+2*x^6+5*x^5+2*x^4+3*x^3+3*x^2+x+2)/(x^10-3*x^9+x^8-3*x^7-3*x^6-6*x^4+x^3-x^2-3*x+1) ogf] A220309 4.29138 [-(x^9-2*x^8-5*x^7+6*x^6+8*x^5-5*x^4-7*x^3+x+2)/(x^9-x^8-2*x^7-2*x^6+9*x^5-3*x^4-8*x^3+2*x^2+4*x-1) ogf] A220324 4.34932 [(135*f(x)+74)*(6*f(x)*x^4+3*f(x)*x^3-9*f(x)*x^2+2*x^3+7*f(x)*x-2*x^2-f(x)+2*x+2) ogf] A220324 7.90784 [-2*(x^3-x^2+x+1)/(6*x^4+3*x^3-9*x^2+7*x-1) ogf] A220360 10.0976 [-x*(x^2+3*x-6)/(x^2+4*x-1)/(x^2-x-1) ogf] A220360 4.98056 [-(1293962*f(x)+417289)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+x^3-3*f(x)*x+3*x^2+f(x)-6*x) ogf] A220361 10.8696 [(x^2+4*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A220361 5.39567 [(2376625*f(x)-61124)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x-x^2+f(x)-4*x-1) ogf] A220362 11.0432 [x*(x+3)/(x^2+4*x-1)/(x^2-x-1) ogf] A220362 5.27801 [-(462254*f(x)-753)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x-x^2+f(x)-3*x) ogf] A220362 7.10703 [-(-3*x^4-18*x^3-21*x^2+36*x+10)/(-x^5-6*x^4-3*x^3+21*x^2+8*x-3) lgdogf] A220363 10.3881 [(x^2-4*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A220363 5.1567 [-(6977*f(x)+2084)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x-x^2+f(x)+4*x-1) ogf] A220381 6.05588 [-(3*x^4+3*x^3-4*x^2-9*x-4)/(2*x^5+3*x^4-3*x^3-8*x^2-4*x+1) ogf] A220414 10.6170 [-(-5*x^2+26*x-73)/(-5*x^3+43*x^2-83*x+13) lgdogf] A220414 15.9256 [-(5*x-13)/(x^2-6*x+1) ogf] A220414 7.87717 [-(412*f(x)-27)*(f(x)*x^2-6*f(x)*x+f(x)+5*x-13) ogf] A220414 8.72114 [{a(n+2)-6*a(n+1)+a(n),a(0)=13,a(1)=73} ogf] A220425 10.9655 [(x^3-4*x^2+1)/(2*x-1)/(x-1)^3 ogf] A220425 5.71774 [-(92*f(x)+573)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-x^3-5*f(x)*x+4*x^2+f(x)-1) ogf] A220425 8.00484 [-(-2*x^4+12*x^3+7*x^2-16*x+5)/(-2*x^5+11*x^4-13*x^3+2*x^2+3*x-1) lgdogf] A220433 14.0388 [6*x-6*f(x)+6*f(x)^2-f(x)^3 egf] A220433 16.2722 [1/6*x*(x^2-6*x+6) revegf] A220433 3.39327 [{(9*n^3-n)*a(n)+(18*n^3+84*n^2+94*n+32)*a(n+1)+(24*n^2+80*n+72)*a(n+2)+(-16-8*n)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A220436 8.47862 [-4*(x^4-4*x^3-11*x^2+4*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A220437 4.31622 [-2*(2*x^6-2*x^5-11*x^4+13*x^3-5*x^2-x+3)/(x-1)/(x^4-11*x^3+25*x^2-11*x+1)/(x^4+7*x^3+13*x^2+7*x+1) ogf] A220438 5.73109 [-(2*x^6-2*x^5-11*x^4+13*x^3-5*x^2-x+3)/(x-1)/(x^4-11*x^3+25*x^2-11*x+1)/(x^4+7*x^3+13*x^2+7*x+1) ogf] A220442 5.16587 [(27*f(x)+317)*(1944*f(x)*x^4-1350*f(x)*x^3+315*f(x)*x^2+1350*x^3-30*f(x)*x-630*x^2+f(x)+90*x-4) ogf] A220442 8.70336 [-2*(15*x-2)*(45*x^2-15*x+1)/(6*x-1)/(3*x-1)/(12*x-1)/(9*x-1) ogf] A220443 13.1403 [9*(x+1)*x/(x-1)^4 ogf] A220443 19.4118 [-(3*x+5)/(x^2-1) lgdogf] A220443 40.4020 [[5-x] ogf_with_Euler_transform] A220443 6.37404 [{(n+2)*a(n+3)-5*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=9,a(2)=45} ogf] A220443 6.47062 [(2144*f(x)+16137)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-9*x) ogf] A220449 4.74012 [{(n^3+10*n^2+34*n+40)*a(n+1)+(2*n+7)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=-10} ogf] A220452 10.4200 [(8*x^3+4*x^2+2*(-2*x^3+5*x^2-4*x+1)^(1/2)-8*x+1)/(4*x^2+2*x-1)/(-1+2*x) lgdegf] A220452 4.13185 [{(-2*n-6)*a(n+1)+(4*n+14)*a(n+2)+(-2*n-9)*a(n+3)+a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=37} ogf] A220452 6.96293 [(8*x^3+4*x^2+2*(-2*x^3+5*x^2-4*x+1)^(1/2)-8*x+1)/(4*x^2+2*x-1)/(-1+2*x) lgdegf] A220468 8.07443 [-(6*x^9+2*x^8+4*x^7+5*x^6+2*x^5+3*x^4+4*x^3+2*x^2+10*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A220469 5.99634 [-1/(x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A220493 5.78064 [-1/(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A220509 8.13343 [(11*x^4-6*x^3+8*x^2-1)/(3*x-1)/(x-1)^4 ogf] A220511 5.59146 [(29*x^6+30*x^5+459*x^4-46*x^3+9*x^2-1)/(5*x-1)/(x-1)^6 ogf] A220528 4.00816 [(55*x^8+546*x^7+8966*x^6+14692*x^5+6726*x^4-694*x^3-50*x^2-1)/(7*x-1)/(x-1)^8 ogf] A220538 3.64568 [(9*x^11-24*x^10+38*x^9-39*x^8+43*x^7-33*x^6+42*x^5-36*x^4+18*x^3-7*x^2+1)/(x+1)/(2*x-1)/(3*x^7-5*x^6+4*x^5-x^4+6*x^3-3*x^2+3*x-1) ogf] A220542 4.45108 [-2*(12*x^9+45*x^8+68*x^7+68*x^6+58*x^5+30*x^4+8*x^3+2*x^2-2*x+1)/(4*x-1)/(x^2+x-1)^2 ogf] A220547 4.49311 [-(125*f(x)+158)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)-2*x-2) ogf] A220547 8.46104 [-(x+1)*(x^2-2)/(x^4+x^3-3*x^2-3*x+1) ogf] A220548 5.01611 [-(x^6-4*x^5-2*x^4+14*x^3+x^2-11*x-3)/(x^2-x-1)/(x^5-3*x^4-5*x^3+9*x^2+7*x-1) ogf] A220558 3.88078 [(3913031*f(x)-2913221)*(f(x)*x^4-7*f(x)*x^3+17*f(x)*x^2-11*f(x)*x+2*x^2+f(x)+8*x-5) ogf] A220558 7.81621 [-(2*x^2+8*x-5)/(x^4-7*x^3+17*x^2-11*x+1) ogf] A220559 2.81683 [(2158057200452826142+445987552613616063*f(x))*(5*f(x)*x^4-47*f(x)*x^3+23*x^4+62*f(x)*x^2-144*x^3-21*f(x)*x+29*x^2+f(x)+19*x-8) ogf] A220559 5.69425 [-(23*x^4-144*x^3+29*x^2+19*x-8)/(x-1)/(5*x^3-42*x^2+20*x-1) ogf] A220563 11.2698 [-(x^3-3*x-1)/(x+1)/(x^3-x^2-3*x+1) ogf] A220563 5.9779 [(138*f(x)-173)*(f(x)*x^4-4*f(x)*x^2+x^3-2*f(x)*x+f(x)-3*x-1) ogf] A220564 4.42338 [-(x-1)*(x^5-x^4-9*x^3+7*x^2+10*x+1)/(x^2-x-1)/(x^5-x^4-9*x^3+9*x^2+5*x-1) ogf] A220574 6.12167 [(8*x^5+4*x^4+10*x^3+12*x^2+9*x+4)/(16*x^5+12*x^4-2*x^3-4*x^2-3*x+1) ogf] A220588 10.6661 [-(x^3-7*x^2+5*x-1)/(2*x-1)/(x-1)^3 ogf] A220588 5.74325 [-(11*f(x)+20)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A220588 8.46687 [-(2*x^4-24*x^3+20*x^2-4*x)/(2*x^5-17*x^4+32*x^3-24*x^2+8*x-1) lgdogf] A220589 7.10437 [2*I/x/(x+1)^(1/2)/(3*x-1)^(1/2)-(3*x+2)/(x+1)/x lgdogf] A220590 4.16432 [-(401*f(x)+93)*(2*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+2*x^3-3*f(x)*x-2*x^2+f(x)-5*x-1) ogf] A220590 7.78782 [-(x+1)*(2*x^2-4*x-1)/(2*x^4-2*x^3-7*x^2-3*x+1) ogf] A220597 4.08322 [-(2*x^7+5*x^6-23*x^5-16*x^4-7*x^3-16*x^2-x-1)/(x^2-x+1)/(2*x^6+7*x^5-17*x^4-33*x^3-13*x^2-5*x+1) ogf] A220611 6.82943 [-(6*x^4-5*x^3-9*x^2+5*x+1)/(6*x^5-5*x^4-11*x^3+6*x^2+3*x-1) ogf] A220616 4.04319 [(50617*f(x)+12590)*(4*f(x)*x^4-10*f(x)*x^3-4*f(x)*x^2+4*x^3+7*f(x)*x-10*x^2-f(x)+3) ogf] A220616 7.70901 [-(2*x+1)*(2*x^2-6*x+3)/(4*x^4-10*x^3-4*x^2+7*x-1) ogf] A220622 5.54861 [-(3*x^5-8*x^4+13*x^3+29*x^2-16*x-1)/(3*x^6-8*x^5+12*x^4+32*x^3-22*x^2-6*x+1) ogf] A220629 6.44914 [-(x^2+x+1)*(x^2-3*x-1)/(x+1)/(x^4-3*x^3-4*x^2-5*x+1) ogf] A220633 4.66399 [{a(n+5)-4*a(n+4)+a(n+3)+2*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=12,a(4)=44} ogf] A220633 5.58149 [(378*f(x)-23)*(2*f(x)*x^3-x^4+f(x)*x^2-3*x^3-4*f(x)*x+f(x)+3*x-1) ogf] A220633 9.86874 [(x^2+x-1)*(x^2+2*x-1)/(x-1)/(2*x^2+3*x-1) ogf] A220634 4.13967 [(4*x^8+6*x^7-30*x^6-42*x^5-5*x^4+14*x^3+12*x^2-8*x+1)/(x-1)/(x^2+2*x-1)/(2*x^3-3*x^2-6*x+1) ogf] A220639 6.81392 [-(x^4-3*x^3+6*x^2+5*x-1)/(x-1)/(3*x^5-7*x^4+9*x^3+29*x^2+7*x-1) ogf] A220647 4.41981 [-(797255*f(x)+256533)*(6*f(x)*x^4-8*f(x)*x^3-3*f(x)*x^2+6*x^3-3*f(x)*x-8*x^2+f(x)-x-1) ogf] A220647 8.66740 [-(6*x^3-8*x^2-x-1)/(6*x^4-8*x^3-3*x^2-3*x+1) ogf] A220655 9.22664 [-(24*x^24-24*x^23+6*x^6-6*x^5+2*x^2-x-2)/(x-1)^2 ogf] A220656 9.71013 [-(24*x^24-24*x^23+6*x^6-6*x^5+2*x^2-3)/(x-1)^2 ogf] A220657 11.3510 [x*(x^24+x^6+x^2+x+1)/(x-1)^2 ogf] A220658 6.08349 [-x*(x^15-x^14+x^12-x^11+x^9-x^8+x^6-x^5+x^4-x^2-1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A220660 8.23067 [x^2*(24*x^32-24*x^31+6*x^8-6*x^7+2*x^2-2*x+1)/(x-1)^2 ogf] A220661 7.74642 [(24*x^34-24*x^33+6*x^10-6*x^9+2*x^4-2*x^3+x^2-x+1)/(x-1)^2 ogf] A220673 11.3495 [(x^2-10*x+5)/(5*x^2-10*x+1) ogf] A220673 5.88888 [{a(n+3)-10*a(n+2)+5*a(n+1),a(0)=5,a(1)=40,a(2)=376} ogf] A220673 5.94496 [-(1563*f(x)-1565)*(5*f(x)*x^2-10*f(x)*x-x^2+f(x)+10*x-5) ogf] A220673 7.90153 [-(40*x^2-48*x+40)/(-5*x^4+60*x^3-126*x^2+60*x-5) lgdogf] A220676 4.80560 [-(x^6-4*x^5-x^4-6*x^3-14*x^2-7*x-1)/(x+1)/(x^6-5*x^5-2*x^3-8*x^2-3*x+1) ogf] A220683 5.85015 [-(x^5+9*x^4+18*x^3+10*x^2+6*x+1)/(x+1)/(2*x^4+14*x^3+5*x^2+7*x-1) ogf] A220699 3.70273 [{(-n+1)*a(n+1)+(n-1)*a(n+2)-a(n+4)+2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A220700 4.65893 [{(n+6)*a(n+1)+(-n-6)*a(n+2)+a(n+4)-2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A220705 6.41943 [-(x^5+2*x^4+2*x^3+x^2-3*x-1)/(x-1)/(x+1)/(x^4+2*x^3+2*x^2+2*x-1) ogf] A220706 4.00128 [-(x+1)*(x^8-x^6-3*x^5+5*x^4-5*x^3+9*x^2-4*x-1)/(x^10+x^9-x^8-4*x^7+x^6+x^5+6*x^4+3*x^3-5*x^2-3*x+1) ogf] A220709 6.72759 [-(x^6-3*x^5+2*x^3-2*x^2+1)/(x-1)/(x+1)/(x^4-x^3-5*x^2-x+1) ogf] A220710 4.03823 [-(8*x^10-18*x^9+3*x^8+18*x^7-14*x^6+6*x^5+8*x^4-11*x^3+2*x^2+2*x-1)/(x-1)/(x+1)/(6*x^5-5*x^4-11*x^3+6*x^2+3*x-1) ogf] A220713 5.69566 [-(x^5-3*x^4-x^3+2*x^2+6*x+1)/(x^6-3*x^5-2*x^4+3*x^3+8*x^2+2*x-1) ogf] A220720 6.81042 [-(2*x^4-3*x^3-5*x^2-4*x-1)/(x+1)/(2*x^4-5*x^3-4*x+1) ogf] A220726 10.7891 [-(2*x^3+x-1)/(2*x^4-x^2-3*x+1) ogf] A220726 5.82421 [(31*f(x)-37)*(2*f(x)*x^4-f(x)*x^2+2*x^3-3*f(x)*x+f(x)+x-1) ogf] A220733 6.69783 [-(x^4-4*x^3-9*x^2-3*x-1)/(x^5-4*x^4-9*x^3-3*x^2-2*x+1) ogf] A220739 6.87052 [-(x^5-2*x^4-x^3-x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-3*x+1) ogf] A220749 4.37657 [-2*(560*x^7-1187*x^6-120*x^5-820*x^4+1380*x^3+437*x^2+16*x+4)/(16*x-1)/(x-1)^2 ogf] A220753 11.9179 [-(x^3-5*x^2-4*x-1)/(x-1)/(x+1)/(2*x^2-1) ogf] A220753 7.23986 [-(92*f(x)+25)*(2*f(x)*x^4-3*f(x)*x^2+x^3-5*x^2+f(x)-4*x-1) ogf] A220755 7.71058 [x*(3*x^3+9*x^2-27*x-1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A220783 10.0819 [-(x+1)*(x-2)/(4*x^3-6*x^2-5*x+1) ogf] A220783 5.21181 [-(453*f(x)+62)*(4*f(x)*x^3-6*f(x)*x^2-5*f(x)*x+x^2+f(x)-x-2) ogf] A220783 5.39468 [{a(n+3)-5*a(n+2)-6*a(n+1)+4*a(n),a(0)=2,a(1)=11,a(2)=66} ogf] A220806 4.22247 [-(25047*f(x)-21268)*(4*f(x)*x^4+3*f(x)*x^3+11*f(x)*x^2+4*x^3-7*f(x)*x-4*x^2+f(x)+6*x-2) ogf] A220806 8.12012 [-2*(2*x^3-2*x^2+3*x-1)/(4*x-1)/(x^3+x^2+3*x-1) ogf] A220838 7.84964 [-(x^6-x^5+x^4-x^2+2*x-1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^3 ogf] A220839 5.39367 [-(x^7+x^6-x^4+x^3+2*x^2+x-1)/(x-1)/(x^2+x+1)/(x^4-x^3-2*x^2-x+1)/(x^6+x^3+1) ogf] A220864 6.07292 [-2*(18*x^7-71*x^6-104*x^5+467*x^4-6*x^3-333*x^2+36*x+25)/(x-1)/(x+1)/(x^2-4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A220867 3.75075 [-2*(3*x^6-11*x^5-19*x^4+74*x^3-7*x^2-3*x-1)/(x^2-4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A220868 3.29530 [-(3*x^7-5*x^6-33*x^5+27*x^4+61*x^3+45*x^2-15*x-3)/(x+1)/(x^2-4*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A220874 6.79695 [-(2*x^5+12*x^4-26*x^3+20*x^2-7*x+1)/(x-1)/(2*x-1)^4 ogf] A220878 7.43099 [1/2/(3*x-1)*(6*x^2+x-1+(36*x^4-36*x^3+17*x^2-6*x+1)^(1/2)) revogf] A220878 7.43099 [6*f(x)^2*x^2-4*f(x)^2*x-3*f(x)*x^2+f(x)*x+f(x)+x-1 ogf] A220885 11.5504 [(x^5+2*x^4-x^3-x^2+3*x+5)/(x-1)/(x^3+x^2-1) ogf] A220888 10.6028 [-x^4*(x+2)/(x^2+x-1)/(x-1)^4 ogf] A220888 10.9907 [-(5*x^3+15*x^2+3*x-11)/(x^4+2*x^3-2*x^2-3*x+2) lgdogf] A220889 10.5653 [-(5*x^3+11*x^2+2*x-8)/(x^4+x^3-2*x^2-x+1) lgdogf] A220889 8.30862 [x^4*(x+1)^2/(x^2+x-1)/(x-1)^5 ogf] A220892 8.90693 [(x^4+8*x^3+22*x^2+8*x+1)/(x-1)^6 ogf] A220892 9.07988 [-(2*x^4+28*x^3+112*x^2+84*x+14)/(x^5+7*x^4+14*x^3-14*x^2-7*x-1) lgdogf] A220893 7.54137 [(x+1)^6/(x^4-8*x^3+22*x^2-8*x+1) ogf] A220893 7.68781 [-(-2*x^4+28*x^3-112*x^2+84*x-14)/(x^5-7*x^4+14*x^3+14*x^2-7*x+1) lgdogf] A220898 4.19738 [{(23*n^2+23*n)*a(n)+(42*n^2+124*n+82)*a(n+1)+(15*n^2+71*n+86)*a(n+2)+(-4*n^2-30*n-56)*a(n+3),a(0)=2,a(1)=1,a(2)=1} ogf] A220898 6.99562 [-x^2*f(x)^3-2*f(x)^2*x^2-2*f(x)^2*x+17*f(x)*x^2+16*f(x)*x-25*x^2-f(x)-23*x+2 ogf] A220902 9.39757 [-f(x)^2*x^3+f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-2 ogf] A220910 5.44215 [{(48*n+72)*a(n+1)+(8*n-10)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A220910 8.85798 [-16*f(x)^2*x^2-8*f(x)^2*x-f(x)^2+36*f(x)*x+f(x)-27*x ogf] A220926 3.61939 [(2*x^11-11*x^10+8*x^9+65*x^8-172*x^7+153*x^6+x^5-122*x^4+123*x^3-68*x^2+23*x-4)/(x-1)^9 ogf] A220932 12.5821 [-2*(3*x+1)/(x+1)/(6*x-1) ogf] A220932 6.0881 [-(625*f(x)+798)*(6*f(x)*x^2+5*f(x)*x-f(x)+6*x+2) ogf] A220932 6.82160 [{a(n+2)-5*a(n+1)-6*a(n),a(0)=2,a(1)=16} ogf] A220932 8.32637 [-(-18*x^2-12*x-8)/(-18*x^3-21*x^2-2*x+1) lgdogf] A220939 4.11075 [-(x^6-10*x^5+33*x^4-30*x^3-20*x^2+7*x+1)/(x-1)/(x^6-32*x^5+60*x^4-2*x^3+20*x^2-12*x+1) ogf] A220944 12.2391 [-(x^3-5*x^2-3*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A220944 7.43496 [{a(n+4)-4*a(n+2)+3*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=11} ogf] A220944 7.57658 [-(6*f(x)+1)*(3*f(x)*x^4-4*f(x)*x^2+x^3-5*x^2+f(x)-3*x-1) ogf] A220946 12.0737 [-(x^3-2*x^2-2*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A220946 7.26658 [-(228*f(x)-31)*(3*f(x)*x^4-4*f(x)*x^2+x^3-2*x^2+f(x)-2*x-1) ogf] A220948 9.10101 [(3*x-1)*(x-1)^2/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A220971 4.42116 [(8*x^9-14*x^8+21*x^7-15*x^6-2*x^5+6*x^4-11*x^3+9*x^2-6*x+2)/(x+1)/(2*x-1)/(4*x^5-5*x^4+6*x^3-3*x^2+3*x-1) ogf] A220978 10.4851 [-(3*x+1)^2/(x-1)/(3*x-1)/(9*x-1) ogf] A220978 5.59203 [(4777*f(x)-2964)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+9*x^2-f(x)+6*x+1) ogf] A220978 5.68681 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=1,a(1)=19,a(2)=217} ogf] A220978 8.38805 [-(-81*x^3-81*x^2+117*x-19)/(-81*x^4+90*x^3-10*x+1) lgdogf] A220979 3.94036 [-(4296875*x^4+2662500*x^3+464450*x^2+4260*x+11)/(x-1)/(125*x-1)/(25*x-1)/(625*x-1)/(5*x-1) ogf] A220980 3.84816 [-(27734375*x^4-22687500*x^3+2417450*x^2-36300*x+71)/(x-1)/(125*x-1)/(25*x-1)/(625*x-1)/(5*x-1) ogf] A220989 3.7375 [(396808837*f(x)-465856068)*(1728*f(x)*x^3-1884*f(x)*x^2+157*f(x)*x+1008*x^2-f(x)+558*x+7) ogf] A220989 4.08789 [{a(n+3)-157*a(n+2)+1884*a(n+1)-1728*a(n),a(0)=7,a(1)=1657,a(2)=247969} ogf] A220989 7.07095 [-(1008*x^2+558*x+7)/(x-1)/(12*x-1)/(144*x-1) ogf] A220990 3.72918 [(396808837*f(x)-28194996)*(1728*f(x)*x^3-1884*f(x)*x^2+157*f(x)*x+2736*x^2-f(x)-1182*x+19) ogf] A220990 4.07609 [{-a(n+3)+157*a(n+2)-1884*a(n+1)+1728*a(n),a(0)=19,a(1)=1801,a(2)=249697} ogf] A220990 6.91862 [-(2736*x^2-1182*x+19)/(x-1)/(12*x-1)/(144*x-1) ogf] A220997 4.02139 [(50543*f(x)-198)*(2*f(x)*x^4+12*f(x)*x^3+11*f(x)*x^2-11*f(x)*x+2*x^2+f(x)+2*x-3) ogf] A220997 7.70765 [-(2*x^2+2*x-3)/(2*x^4+12*x^3+11*x^2-11*x+1) ogf] A221002 6.65375 [-2*(84672*x^4-205344*x^3+181436*x^2-69284*x+10779)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221003 3.08732 [-(7432704*x^6-23912064*x^5+31269536*x^4-21796184*x^3+8511316*x^2-1859738*x+192133)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221004 9.06244 [-3*(13952*x^4-25152*x^3+17408*x^2-4806*x+479)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221005 4.53218 [-(868864*x^6-2246848*x^5+2406976*x^4-1412380*x^3+450880*x^2-72343*x+4797)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221006 3.46775 [{(-48*n-232)*a(n+1)+(84*n+394)*a(n+2)+(-42*n-185)*a(n+3)+(6*n+23)*a(n+4),a(0)=1296,a(1)=14526,a(2)=107082,a(3)=649890} ogf] A221006 4.57579 [(261381515*f(x)+75800614854)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2+864*x^3-11*f(x)*x-1728*x^2+f(x)-270*x-1296) ogf] A221006 8.49789 [-54*(16*x^3-32*x^2-5*x-24)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A221007 5.98785 [-3*(1792*x^4-3824*x^3+5976*x^2+4421*x+1490)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A221008 3.46996 [{(-168*n-712)*a(n+1)+(294*n+1204)*a(n+2)+(-147*n-560)*a(n+3)+(21*n+68)*a(n+4),a(0)=1026,a(1)=19458,a(2)=174762,a(3)=1170810} ogf] A221008 4.59318 [(750877299378167*f(x)+683958001745610092)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2-11*f(x)*x-3816*x^2+f(x)-8172*x-1026) ogf] A221008 6.46033 [-(-3392*x^4-8352*x^3+10616*x^2+40*x-1081)/(-1696*x^5-664*x^4+4416*x^3-2168*x^2+55*x+57) lgdogf] A221008 9.69049 [18*(212*x^2+454*x+57)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A221009 4.96014 [-3*(6160*x^3+52396*x^2+26092*x+1131)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A221010 3.90142 [(307560491779*f(x)+48438340325046)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2+48*x^3-11*f(x)*x-990*x^2+f(x)-1404*x-84) ogf] A221010 7.62550 [-6*(8*x^3-165*x^2-234*x-14)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A221011 6.51245 [-3*(160*x^4+1564*x^3+5895*x^2+2183*x+53)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A221012 7.54017 [104*(204*x^3+211*x^2-115*x-12)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221013 4.65294 [-2*(150336*x^5+635520*x^4-382948*x^3-94376*x^2+54917*x+1861)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221014 6.80583 [18*(80*x^3+412*x^2-122*x-37)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221015 4.13175 [-3*(6208*x^5+38816*x^4+676*x^3-23296*x^2+5491*x+644)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221016 6.03994 [-4*(141376*x^4-221152*x^3+133508*x^2-33952*x+3107)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221017 3.80857 [-2*(7997440*x^6-18447232*x^5+17320448*x^4-8881336*x^3+2563836*x^2-385358*x+23875)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221022 3.37302 [(3669033650231654016*f(x)+223927062347210452007)*(-1664*x^4+64*f(x)*x^2-4216*x^3-20*f(x)*x-626*x^2+f(x)-8*x-8) ogf] A221022 6.70335 [2*(832*x^4+2108*x^3+313*x^2+4*x+4)/(16*x-1)/(4*x-1) ogf] A221023 3.25592 [-(537982858004821548032*f(x)-3780472878729890579202977)*(1152*x^4+128*f(x)*x^2-45124*x^3-36*f(x)*x-6079*x^2+f(x)-150*x-16) ogf] A221023 6.62675 [-(1152*x^4-45124*x^3-6079*x^2-150*x-16)/(32*x-1)/(4*x-1) ogf] A221030 6.63570 [-(3*x^4-5*x^3+4*x^2-x-4)/(2*x^5-5*x^4+x^3+8*x^2-8*x+1) ogf] A221042 6.62214 [-(2187*x^4-1458*x^3-72*x^2-198*x+53)/(729*x^5-972*x^4+288*x^3-66*x^2+23*x-2) lgdogf] A221042 8.38804 [-4*(27*x^2+3*x+2)/(x-1)/(9*x-1)^2/(3*x-1)^2 ogf] A221043 4.85169 [(243*x^4+3807*x^3-369*x^2-87*x-10)/(x-1)/(9*x-1)^3/(3*x-1)^3 ogf] A221044 10.1627 [8*(9*x^2+22*x+1)/(x-1)/(3*x-1)/(9*x-1)^2 ogf] A221044 3.69980 [{(-108*n-459)*a(n+1)+(156*n+651)*a(n+2)+(-52*n-205)*a(n+3)+(4*n+13)*a(n+4),a(0)=8,a(1)=352,a(2)=6568,a(3)=92608} ogf] A221044 5.14651 [(350430266*f(x)+1005685107)*(243*f(x)*x^4-378*f(x)*x^3+156*f(x)*x^2-22*f(x)*x-72*x^2+f(x)-176*x-8) ogf] A221044 6.98136 [-(-486*x^4-1458*x^3+1578*x^2-102*x-44)/(-243*x^5-243*x^4+714*x^3-238*x^2+9*x+1) lgdogf] A221045 6.67872 [-2*(27*x^3+495*x^2+241*x+5)/(x-1)/(3*x-1)/(9*x-1)^3 ogf] A221046 6.68074 [-(4374*x^4-5832*x^3+2016*x^2-46)/(1458*x^5-2673*x^4+1494*x^3-288*x^2+8*x+1) lgdogf] A221046 8.38804 [4*(54*x^2-21*x-1)/(x-1)/(9*x-1)^2/(3*x-1)^2 ogf] A221047 4.86581 [-(486*x^4-405*x^3-819*x^2+221*x+5)/(x-1)/(9*x-1)^3/(3*x-1)^3 ogf] A221049 12.4236 [-(x^3-3*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A221049 7.47719 [-(792*f(x)-65)*(4*f(x)*x^4-5*f(x)*x^2+x^3-3*x^2+f(x)-2*x-1) ogf] A221050 7.28839 [14*(8*x^3+10*x^2-33*x-3)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221051 4.40691 [-(2752*x^5-17696*x^4-17716*x^3+4376*x^2+2347*x+71)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221052 5.27067 [(4544*x^4+144096*x^3+28316*x^2-46752*x-2071)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A221053 3.70746 [4*(1536*x^6-1645696*x^5-1592416*x^4+2192808*x^3-189320*x^2-147032*x-2145)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A221059 4.99058 [-(16*x^5+4*x^4+32*x^3+44*x^2+7*x-4)/(32*x^6+8*x^5+80*x^4+104*x^3+10*x^2-11*x+1) ogf] A221063 3.31512 [-(24*x^11+138*x^10+332*x^9+444*x^8+366*x^7+196*x^6+77*x^5+33*x^4+15*x^3-7*x^2+x+1)/(x+1)/(4*x-1)/(x-1)^2/(x^2+x-1)^2 ogf] A221066 7.70445 [-2*(x+1)*(3*x^3+x^2-x-1)/(6*x^5+5*x^4-4*x^3-2*x^2-2*x+1) ogf] A221073 6.62237 [(x^10-2*x^8-6*x^6+12*x^4-4*x^3+x^2-4*x-2)/(x-1)/(x+1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A221074 4.49232 [(x^10-2*x^8-10*x^6+20*x^4-8*x^3+x^2-8*x-2)/(x-1)/(x+1)/(x^8-10*x^4+1) ogf] A221075 4.87054 [(x^10-2*x^8-14*x^6+28*x^4-12*x^3+x^2-12*x-2)/(x-1)/(x+1)/(x^4-4*x^2+1)/(x^4+4*x^2+1) ogf] A221076 5.17845 [(x^10-2*x^8-18*x^6+36*x^4-16*x^3+x^2-16*x-2)/(x-1)/(x+1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A221082 11.1081 [-(18*x-12)/(9*x^2-12*x+1) lgdogf] A221082 16.6621 [2/(9*x^2-12*x+1) ogf] A221082 6.66486 [(209*f(x)+94)*(9*f(x)*x^2-12*f(x)*x+f(x)-2) ogf] A221082 6.74420 [{-a(n+2)+12*a(n+1)-9*a(n),a(0)=2,a(1)=24} ogf] A221083 4.24956 [(191316713*f(x)+3791387)*(64*f(x)*x^3-180*f(x)*x^2+45*f(x)*x+4*x^2-f(x)-11*x+4) ogf] A221083 4.56564 [{a(n+3)-45*a(n+2)+180*a(n+1)-64*a(n),a(0)=4,a(1)=169,a(2)=6889} ogf] A221083 8.37033 [-(4*x^2-11*x+4)/(4*x-1)/(16*x^2-41*x+1) ogf] A221088 4.89041 [-(40587*f(x)+20024)*(f(x)*x^4-7*f(x)*x^3+x^3+7*f(x)*x-4*x^2-f(x)+4*x) ogf] A221088 6.14933 [-(-2*x^4+15*x^3-42*x^2+7*x+12)/(-x^5+9*x^4-14*x^3-7*x^2+15*x-2) lgdogf] A221088 9.55511 [-x*(x-2)^2/(x-1)/(x+1)/(x^2-7*x+1) ogf] A221089 4.81964 [-x*(6480*x^5-5103*x^4-528*x^3+409*x^2-114*x+16)/(27*x^2-1)/(27*x^2-24*x+1) ogf] A221110 5.22045 [x*(2*x-1)*(8*x^2+11*x-7)/(x-1)/(x^5-19*x^4+269*x^3-182*x^2+28*x-1) ogf] A221121 12.2702 [-8*(x-1)/(41*x^2-26*x+1) ogf] A221121 6.47976 [(71*f(x)+57)*(41*f(x)*x^2-26*f(x)*x+f(x)+8*x-8) ogf] A221121 6.70580 [{-a(n+2)+26*a(n+1)-41*a(n),a(0)=8,a(1)=200} ogf] A221121 8.23856 [-(-41*x^2+82*x-25)/(-41*x^3+67*x^2-27*x+1) lgdogf] A221122 3.79847 [-(2880*x^5+1200*x^4-4307*x^3+2030*x^2-339*x+21)/(2025*x^5-13300*x^4+8230*x^3-1680*x^2+109*x-1) ogf] A221126 5.66277 [(x^5+9*x^4-7*x^3-20*x^2+10*x+1)/(2*x^4+12*x^3+11*x^2-11*x+1) ogf] A221130 12.0840 [-(2*x^2-8*x+3)/(4*x-1)/(x-1)^2 ogf] A221130 6.30019 [(9333*f(x)+9526)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-8*x+3) ogf] A221130 6.46600 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=3,a(1)=10,a(2)=35} ogf] A221130 8.57121 [-(-8*x^3+56*x^2-40*x+10)/(-8*x^4+42*x^3-54*x^2+23*x-3) lgdogf] A221145 17.6515 [-(x^5-3*x^3+4*x^2)/(x^4-x^3-x^2+2*x-1) lgdegf] A221145 3.60073 [{(n^3+12*n^2+47*n+60)*a(n+1)+(n^2+8*n+15)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=0,a(2)=0,a(3)=8} ogf] A221145 8.46172 [-(x^5-3*x^3+4*x^2)/(x^4-x^3-x^2+2*x-1) lgdegf] A221159 33.3629 [8*exp(x) lgdegf] A221159 98.5663 [8*exp(x) lgdegf] A221160 11.9103 [-(4*x-5)/(-16*x^3+16*x^2-7*x+1) lgdegf] A221160 12.7926 [(4*x^2-3*x+1)/(4*x-1)^2 egf] A221160 3.45399 [{(-8*n^2-8*n)*a(n)+(-4*n^2-14*n-8)*a(n+1)+(4*n^2+29*n+47)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=56} ogf] A221160 7.27157 [(9+16*f(x))*(16*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+3*x-1) egf] A221161 12.8461 [-(4*x^2+x-1)/(4*x-1)^2 egf] A221161 13.8738 [-(12*x-7)/(16*x^3-5*x+1) lgdegf] A221161 3.40044 [{(24*n^2+24*n)*a(n)+(20*n^2+74*n+72)*a(n+1)+(4*n^2+23*n+37)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=7,a(2)=72} ogf] A221161 7.22593 [(16*f(x)+33)*(16*f(x)*x^2-8*f(x)*x+4*x^2+f(x)+x-1) egf] A221162 4.5118 [(2826079*f(x)-57968)*(f(x)*x^3-26*f(x)*x^2+13*f(x)*x+x^2-f(x)-6*x+3) ogf] A221162 4.74317 [{a(n+3)-13*a(n+2)+26*a(n+1)-a(n),a(0)=3,a(1)=33,a(2)=352} ogf] A221162 8.80875 [-(x^2-6*x+3)/(x^3-26*x^2+13*x-1) ogf] A221163 3.82420 [-(188*x^6+1070*x^5+993*x^4-2191*x^3+992*x^2-160*x+8)/(5*x-1)/(111*x^5+3848*x^4-3340*x^3+807*x^2-59*x+1) ogf] A221172 11.7068 [-(7*x^2-4*x+3)/(7*x^3+12*x^2-11*x+2) lgdogf] A221172 17.1700 [-(7*x-2)/(x^2+2*x-1) ogf] A221172 8.49063 [-(50*f(x)+19)*(f(x)*x^2+2*f(x)*x-f(x)+7*x-2) ogf] A221172 9.42254 [{a(n+2)-2*a(n+1)-a(n),a(0)=-2,a(1)=3} ogf] A221173 11.5140 [-(10*x^2-6*x+4)/(10*x^3+17*x^2-16*x+3) lgdogf] A221173 17.0207 [-(10*x-3)/(x^2+2*x-1) ogf] A221173 8.99941 [(f(x)+11)*(f(x)*x^2+2*f(x)*x-f(x)+10*x-3) ogf] A221173 9.54817 [{a(n+2)-2*a(n+1)-a(n),a(0)=-3,a(1)=4} ogf] A221174 11.6150 [-(13*x^2-8*x+5)/(13*x^3+22*x^2-21*x+4) lgdogf] A221174 17.1700 [-(13*x-4)/(x^2+2*x-1) ogf] A221174 9.07836 [(2*f(x)+33)*(f(x)*x^2+2*f(x)*x-f(x)+13*x-4) ogf] A221174 9.63193 [{a(n+2)-2*a(n+1)-a(n),a(0)=-4,a(1)=5} ogf] A221175 10.7951 [-(16*x^2-10*x+6)/(16*x^3+27*x^2-26*x+5) lgdogf] A221175 16.1927 [-(16*x-5)/(x^2+2*x-1) ogf] A221175 8.56163 [(f(x)+23)*(f(x)*x^2+2*f(x)*x-f(x)+16*x-5) ogf] A221175 9.08370 [{a(n+2)-2*a(n+1)-a(n),a(0)=-5,a(1)=6} ogf] A221176 33.9117 [16*exp(x) lgdegf] A221176 92.8676 [16*exp(x) lgdegf] A221180 10.8380 [-(2400*x^13-1300*x^12+2)/(-200*x^14+100*x^13+2*x-1) lgdogf] A221180 20.1980 [(100*x^13-1)/(2*x-1) ogf] A221189 5.03896 [-(58*x^4-148*x^3+106*x^2-16*x-1)/(2*x^6+86*x^5-174*x^4+42*x^3+41*x^2-15*x+1) ogf] A221193 6.61903 [-(x^8+x^7+31*x^5-34*x^4+31*x^3+x+1)/(x-1)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+6*x^2+1) ogf] A221194 6.61497 [-(x^4+4*x^3-4*x^2+4*x+1)*(x^4-2*x^3+12*x^2-2*x+1)/(x-1)/(x+1)/(x^4-8*x^2+1)/(x^4+8*x^2+1) ogf] A221195 5.55328 [-(x^8+3*x^7+93*x^5-98*x^4+93*x^3+3*x+1)/(x-1)/(x+1)/(x^4+10*x^2+1)/(x^4-10*x^2+1) ogf] A221196 5.28731 [{a(n+3)-6*a(n+2)+6*a(n+1)+2*a(n),a(0)=2,a(1)=10,a(2)=46} ogf] A221196 5.38173 [(7*f(x)+19)*(2*f(x)*x^3+6*f(x)*x^2-6*f(x)*x+2*x^2+f(x)+2*x-2) ogf] A221196 9.88120 [-2*(x^2+x-1)/(2*x^3+6*x^2-6*x+1) ogf] A221201 4.25369 [-x*(256*x^6-448*x^5-124*x^4+342*x^3-53*x+9)/(2*x-1)/(2*x+1)/(4*x^2-7*x+1)/(16*x^4-14*x^2+1) ogf] A221212 9.17948 [-(x+1)*(x^7-x^6-x^5+x^4+x^3+x^2-2*x-1)/(x^2+x-1)/(x^2-x-1) ogf] A221223 4.28553 [(2129*f(x)+48)*(10*f(x)*x^3-43*f(x)*x^2+15*f(x)*x+4*x^2-f(x)-10*x+3) ogf] A221223 4.32185 [{a(n+3)-15*a(n+2)+43*a(n+1)-10*a(n),a(0)=3,a(1)=35,a(2)=400} ogf] A221223 7.84582 [-(4*x^2-10*x+3)/(10*x^3-43*x^2+15*x-1) ogf] A221224 3.47538 [-8*(146*x^5-577*x^4+595*x^3-206*x^2+27*x-1)/(5184*x^6-25616*x^5+39617*x^4-13925*x^3+1710*x^2-77*x+1) ogf] A221226 4.53701 [-(8*x^6+28*x^5-150*x^4+204*x^3-77*x^2+4*x+1)/(8*x^7-12*x^6+14*x^5-78*x^4+123*x^3-71*x^2+15*x-1) ogf] A221236 7.27535 [-x*(x^2+2*x-5)/(x^2-3*x+1)/(x^4+3*x^3-2*x^2-8*x+1) ogf] A221241 3.83742 [(780171*f(x)-30706)*(324*f(x)*x^4-540*f(x)*x^3+222*f(x)*x^2-30*f(x)*x+f(x)+10*x-2) ogf] A221241 7.67486 [-2*(5*x-1)/(324*x^4-540*x^3+222*x^2-30*x+1) ogf] A221246 4.32482 [(341629047*f(x)-15307867)*(36*f(x)*x^4-54*f(x)*x^3-6*x^4+34*x^3+9*f(x)*x-31*x^2-f(x)+9*x) ogf] A221246 7.97565 [x*(6*x^3-34*x^2+31*x-9)/(6*x^2-1)/(6*x^2-9*x+1) ogf] A221256 4.23486 [-x*(x^6-6*x^5-2*x^4+26*x^3+9*x^2-16*x+4)/(x-1)/(x+1)/(x^2-6*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A221266 5.04926 [(184715*f(x)+198024)*(8*f(x)*x^3-19*f(x)*x^2+10*f(x)*x+8*x^2-f(x)-11*x+3) ogf] A221266 5.35135 [{-a(n+3)+10*a(n+2)-19*a(n+1)+8*a(n),a(0)=3,a(1)=19,a(2)=141} ogf] A221266 9.78294 [-(8*x-3)*(x-1)/(8*x^3-19*x^2+10*x-1) ogf] A221270 7.70232 [-2*x*(x-1)*(x^2-7*x+3)/(2*x^5-4*x^3+10*x^2-6*x+1) ogf] A221276 10.1827 [-x*(3*x-2)^2/(x-1)/(3*x-1)/(3*x^2-1) ogf] A221276 5.54665 [(4340*f(x)+5379)*(9*f(x)*x^4-12*f(x)*x^3+9*x^3+4*f(x)*x-12*x^2-f(x)+4*x) ogf] A221286 12.9815 [(71020044435*x-106276436867)/(x^2+x-1) ogf] A221286 5.99146 [-(123904633083*f(x)-12546636311714655633649)*(f(x)*x^2+f(x)*x-f(x)-71020044435*x+106276436867) ogf] A221286 6.25386 [-(71020044435*x^2-212552873734*x-35256392432)/(71020044435*x^3-35256392432*x^2-177296481302*x+106276436867) lgdogf] A221286 8.31824 [{-a(n+2)+a(n+1)+a(n),a(0)=106276436867,a(1)=35256392432} ogf] A221297 4.71084 [-(2*x^6-4*x^5-12*x^4+10*x^3+9*x^2-14*x+3)/(2*x^7-6*x^6-16*x^5+8*x^4-x^3-27*x^2+11*x-1) ogf] A221304 7.02301 [-x*(2*x^4-4*x^3+6*x^2-10*x+5)/(x^3-3*x+1)/(x^3+x-1) ogf] A221323 5.21247 [-(x-1)*(8*x^3+6*x^2-35*x+7)/(8*x^5+6*x^4-111*x^3+110*x^2-23*x+1) ogf] A221329 4.12925 [(x^8-5*x^7-x^6+16*x^5-24*x^4-17*x^3+41*x^2-6*x-1)/(2*x^7-6*x^6-16*x^5+8*x^4-x^3-27*x^2+11*x-1) ogf] A221352 4.85729 [-x*(14*x^5-14*x^4-14*x^3+24*x^2-7*x-1)/(8*x^7+16*x^6-14*x^5-34*x^4+10*x^3+26*x^2-11*x+1) ogf] A221357 4.44751 [-x*(4*x^5-2*x^4-4*x^3+14*x^2-21*x+5)/(16*x^7-33*x^6-21*x^5+59*x^4+14*x^3-38*x^2+12*x-1) ogf] A221364 7.47299 [-(x^4+x^3-3*x^2+x+1)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A221365 8.24716 [-(x^4+3*x^3-5*x^2+3*x+1)/(x-1)/(x+1)/(x^4-5*x^2+1) ogf] A221366 7.55419 [-(x^4+5*x^3-7*x^2+5*x+1)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A221367 8.95263 [-(x^4+7*x^3-9*x^2+7*x+1)/(x-1)/(x+1)/(x^4-9*x^2+1) ogf] A221374 10.0019 [-(2*x-1)*(2*x-3)/(x-1)/(4*x^2-8*x+1) ogf] A221374 5.30014 [(755*f(x)+1089)*(4*f(x)*x^3-12*f(x)*x^2+9*f(x)*x+4*x^2-f(x)-8*x+3) ogf] A221374 5.34583 [{-a(n+3)+9*a(n+2)-12*a(n+1)+4*a(n),a(0)=3,a(1)=19,a(2)=139} ogf] A221394 4.75243 [-x*(46*x^10+412*x^8-1050*x^6+820*x^4-233*x^2+18)/(x-1)/(x+1)/(16*x^10+268*x^8-605*x^6+393*x^4-47*x^2+1) ogf] A221397 10.4662 [-6*x*(x-1)/(2*x^3+6*x^2-6*x+1) ogf] A221397 5.32653 [{a(n+3)-6*a(n+2)+6*a(n+1)+2*a(n),a(0)=0,a(1)=6,a(2)=30} ogf] A221397 5.57543 [(5*f(x)+6)*(2*f(x)*x^3+6*f(x)*x^2-6*f(x)*x+6*x^2+f(x)-6*x) ogf] A221397 8.06177 [-(-4*x^3+12*x-5)/(-2*x^4-4*x^3+12*x^2-7*x+1) lgdogf] A221401 3.89367 [-x*(2*x-1)*(8*x^5-8*x^4+10*x^3-10*x^2-x-1)/(2*x^2-4*x+1)/(4*x^4+6*x^3-8*x^2-5*x+1)/(2*x^2-2*x-1) ogf] A221414 14.4547 [15*f(x)*x^2-f(x)+10*x ogf] A221414 16.3566 [30*x/(-15*x^2+1) lgdogf] A221414 17.7586 [-10*x/(15*x^2-1) ogf] A221414 9.56234 [{a(n+2)-15*a(n),a(0)=0,a(1)=10} ogf] A221415 4.85671 [-(x^6-2*x^5+7*x^4+17*x^3-4*x^2-11*x+4)/(x^7-x^6+12*x^5+17*x^4-19*x^3-15*x^2+10*x-1) ogf] A221420 7.76312 [x*(x^4-2*x^3+x^2-6*x+4)/(2*x^4+3*x^2-4*x+1) ogf] A221425 8.22939 [-(x^4-5*x^3+5*x+1)/(x^5-5*x^4+6*x^2+4*x-1) ogf] A221440 11.9155 [-(x^2+3)/(x^3+x^2+3*x-1) ogf] A221440 6.01047 [-(65*f(x)-43)*(f(x)*x^3+f(x)*x^2+3*f(x)*x+x^2-f(x)+3) ogf] A221440 6.01048 [{a(n+3)-3*a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=9,a(2)=31} ogf] A221440 7.71800 [-(-x^4-6*x^2-8*x-9)/(-x^5-x^4-6*x^3-2*x^2-9*x+3) lgdogf] A221441 5.0259 [-(8725*f(x)-357)*(f(x)*x^3+11*f(x)*x^2+5*f(x)*x+x^2-f(x)+8*x+5) ogf] A221441 5.24253 [{a(n+3)-5*a(n+2)-11*a(n+1)-a(n),a(0)=5,a(1)=33,a(2)=221} ogf] A221441 9.80860 [-(x^2+8*x+5)/(x^3+11*x^2+5*x-1) ogf] A221442 4.14703 [-(8*x^5+11*x^4+12*x^3-34*x^2-36*x-9)/(4*x^6+11*x^5+21*x^4-34*x^3-42*x^2-9*x+1) ogf] A221447 5.18658 [-(x^6+2*x^5+x^4-4*x^3-5*x^2-6*x-1)/(x^2+1)/(x^5+x^4-2*x^3-2*x^2-3*x+1) ogf] A221454 4.93506 [(39*f(x)+344)*(3*f(x)*x^4+6*f(x)*x^3-f(x)*x^2+2*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A221454 9.19410 [-x*(2*x^2+2*x-1)/(3*x^2+3*x-1)/(x^2+x-1) ogf] A221455 6.13584 [-x*(5*x^4+10*x^3-5*x+1)/(2*x^2+2*x-1)/(x^2+x-1)/(4*x^2+4*x-1) ogf] A221456 4.27894 [-x*(19*x^6+57*x^5+33*x^4-29*x^3-15*x^2+9*x-1)/(2*x^2+2*x-1)/(5*x^2+5*x-1)/(x^2+x-1)/(3*x^2+3*x-1) ogf] A221461 11.5550 [-(-12*x-6)/(-6*x^2-6*x+1) lgdogf] A221461 15.3025 [-6*x/(6*x^2+6*x-1) ogf] A221461 6.99004 [{-a(n+2)+6*a(n+1)+6*a(n),a(0)=0,a(1)=6} ogf] A221461 9.5965 [-6*f(x)*x^2-6*f(x)*x+f(x)-6*x ogf] A221462 10.2058 [-7*f(x)*x^2-7*f(x)*x+f(x)-7*x ogf] A221462 12.2886 [-(-14*x-7)/(-7*x^2-7*x+1) lgdogf] A221462 16.2741 [-7*x/(7*x^2+7*x-1) ogf] A221462 7.43385 [{-a(n+2)+7*a(n+1)+7*a(n),a(0)=0,a(1)=7} ogf] A221464 3.65956 [{(-13*n^2-108*n-207)*a(n+1)+(-36*n^2-424*n-1120)*a(n+2)+(49*n^2+284*n+411)*a(n+3),a(0)=3,a(1)=32,a(2)=135} ogf] A221464 8.02608 [(x^3-5*x^2-17*x-3)/(x-1)^5 ogf] A221464 8.30935 [-(-2*x^3+12*x^2+78*x+32)/(-x^4+6*x^3+12*x^2-14*x-3) lgdogf] A221465 6.86658 [-(x^4+2*x^3-60*x^2-58*x-5)/(x-1)^6 ogf] A221465 6.99862 [-(2*x^4+10*x^3-234*x^2-410*x-88)/(x^5+x^4-62*x^3+2*x^2+53*x+5) lgdogf] A221466 5.59308 [8*(2*x^4-14*x^3-54*x^2-23*x-1)/(x-1)^7 ogf] A221471 5.47104 [x*(28*x^11-66*x^10-16*x^9-2*x^8-13*x^7-2*x^6-5*x^5-4*x^4-3*x^3-2*x^2-x+1)/(x^2-3*x+1) ogf] A221478 6.67830 [x*(3*x^4-18*x^3+31*x^2+14*x-8)/(6*x^4-24*x^3-7*x^2+8*x-1) ogf] A221484 5.49519 [x*(x-1)*(5*x^2+8*x+4)/(x^2+3*x+1)/(x^5-5*x^4+6*x^2+4*x-1) ogf] A221510 4.59995 [-(110*f(x)-1)*(f(x)*x^4+3*f(x)*x^3+4*f(x)*x^2+x^3+f(x)*x+x^2-f(x)+2*x) ogf] A221510 8.75881 [-x*(x^2+x+2)/(x+1)/(x^3+2*x^2+2*x-1) ogf] A221511 7.06826 [-x*(2*x^4-2*x^3+4*x^2+x+3)/(4*x^6+4*x^4+6*x^3+6*x^2+2*x-1) ogf] A221512 5.90664 [x*(2*x^3-10*x^2-5*x-4)/(x^6-3*x^5+17*x^4+20*x^3+11*x^2+2*x-1) ogf] A221513 4.17291 [-x*(2*x^6+2*x^5+12*x^4-5*x^3+17*x^2+6*x+5)/(2*x^8+8*x^7+27*x^6+x^5+28*x^4+29*x^3+14*x^2+3*x-1) ogf] A221514 3.93959 [-x*(4*x^6-4*x^5+13*x^4+10*x^3+33*x^2+13*x+6)/(8*x^8+4*x^7+23*x^6+32*x^5+79*x^4+58*x^3+21*x^2+3*x-1) ogf] A221516 6.14852 [x*(x^6-2*x^5+6*x^4-x^3-10*x^2-15*x-3)/(x-1)^5 ogf] A221517 4.86560 [-x*(x^8-3*x^7+9*x^6-9*x^5+32*x^4-13*x^3-73*x^2-59*x-5)/(x-1)^6 ogf] A221518 4.28459 [2*x*(3*x^8-19*x^7+49*x^6-43*x^5+136*x^4-126*x^3-260*x^2-96*x-4)/(x-1)^7 ogf] A221519 4.55661 [-(7*f(x)-46)*(f(x)*x^4+3*f(x)*x^3+4*f(x)*x^2+2*x^3+f(x)*x+4*x^2-f(x)+6*x) ogf] A221519 8.61388 [-2*x*(x^2+2*x+3)/(x+1)/(x^3+2*x^2+2*x-1) ogf] A221520 6.80553 [-2*x*(4*x^4-2*x^3+6*x^2+3*x+6)/(4*x^6+4*x^4+6*x^3+6*x^2+2*x-1) ogf] A221521 5.23877 [-2*x*(x^4-4*x^3+22*x^2+14*x+10)/(x^6-3*x^5+17*x^4+20*x^3+11*x^2+2*x-1) ogf] A221522 3.93317 [-2*x*(3*x^6+9*x^5+33*x^4-11*x^3+45*x^2+20*x+15)/(2*x^8+8*x^7+27*x^6+x^5+28*x^4+29*x^3+14*x^2+3*x-1) ogf] A221523 4.41923 [-2*x*(12*x^6+36*x^4+34*x^3+108*x^2+48*x+21)/(8*x^8+4*x^7+23*x^6+32*x^5+79*x^4+58*x^3+21*x^2+3*x-1) ogf] A221525 5.47380 [-2*x*(x^6-2*x^5+11*x^4-7*x^3-31*x^2-29*x-3)/(x-1)^6 ogf] A221526 4.33227 [2*x*(x^8-4*x^7+15*x^6-3*x^5+61*x^4-91*x^3-232*x^2-102*x-5)/(x-1)^7 ogf] A221527 3.68946 [-8*x*(x^8-8*x^7+28*x^6+22*x^5+97*x^4-332*x^3-356*x^2-80*x-2)/(x-1)^8 ogf] A221536 11.0931 [-2*x*(x^2-x+1)/(4*x^4-2*x^2+3*x-1) ogf] A221536 6.21598 [(44*f(x)-1)*(4*f(x)*x^4-2*f(x)*x^2+2*x^3+3*f(x)*x-2*x^2-f(x)+2*x) ogf] A221537 4.69909 [-(17376*f(x)+12317)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+3*f(x)*x-x^2-f(x)+3*x) ogf] A221537 9.90425 [x*(x-3)/(x+1)/(x^3-2*x^2+4*x-1) ogf] A221538 6.39767 [-x*(x^4+x^3+10*x^2-6*x+4)/(3*x^5+15*x^4+x^3-3*x^2+5*x-1) ogf] A221539 6.46533 [-x*(3*x^4+5*x^2-3*x+5)/(3*x^6+6*x^5+9*x^4+3*x^2+5*x-1) ogf] A221540 4.53345 [-x*(6*x^6-12*x^5+20*x^4-7*x^3+22*x^2-10*x+6)/(12*x^8+16*x^6+10*x^5+26*x^4+6*x^3-4*x^2+7*x-1) ogf] A221541 4.42653 [x*(6*x^5-20*x^4+3*x^3-14*x^2+5*x-7)/(3*x^8-6*x^7+23*x^6+20*x^5+20*x^4+5*x^3+4*x^2+7*x-1) ogf] A221543 5.74224 [(x^7-6*x^6+18*x^5-26*x^4+22*x^3-23*x^2-7*x-3)/(x-1)^5 ogf] A221544 4.70426 [-(x^9-8*x^8+34*x^7-87*x^6+153*x^5-157*x^4+88*x^3-115*x^2-24*x-5)/(x-1)^6 ogf] A221545 3.99946 [(10*x^9-79*x^8+279*x^7-572*x^6+822*x^5-675*x^4+87*x^3-506*x^2-78*x-8)/(x-1)^7 ogf] A221567 10.8790 [-x*(8*x^2-6*x+5)/(4*x^4-2*x^2+3*x-1) ogf] A221567 5.89277 [-(f(x)+45)*(4*f(x)*x^4-2*f(x)*x^2+8*x^3+3*f(x)*x-6*x^2-f(x)+5*x) ogf] A221568 10.0385 [-2*x*(x^2-2*x+5)/(x+1)/(x^3-2*x^2+4*x-1) ogf] A221568 5.54363 [(6*f(x)+5)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+2*x^3+3*f(x)*x-4*x^2-f(x)+10*x) ogf] A221569 6.09027 [-x*(x^4+8*x^3+45*x^2-26*x+17)/(3*x^5+15*x^4+x^3-3*x^2+5*x-1) ogf] A221570 5.49218 [-2*x*(6*x^4+6*x^3+14*x^2-8*x+13)/(3*x^6+6*x^5+9*x^4+3*x^2+5*x-1) ogf] A221571 4.24044 [-x*(48*x^6-36*x^5+100*x^4-26*x^3+138*x^2-62*x+37)/(12*x^8+16*x^6+10*x^5+26*x^4+6*x^3-4*x^2+7*x-1) ogf] A221572 3.89939 [-2*x*(6*x^6-18*x^5+66*x^4+4*x^3+51*x^2-18*x+25)/(3*x^8-6*x^7+23*x^6+20*x^5+20*x^4+5*x^3+4*x^2+7*x-1) ogf] A221574 10.2244 [(x+2)*(x^2+1)/(x-1)^4 ogf] A221574 4.18764 [{(-59*n^2-353*n-470)*a(n+1)+(56*n^2+16*n-804)*a(n+2)+(3*n^2+151*n+426)*a(n+3),a(0)=2,a(1)=9,a(2)=26} ogf] A221574 5.39231 [(97740*f(x)+100387)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-x-2) ogf] A221574 9.84096 [-(x^3+7*x^2+7*x+9)/(x^4+x^3-x^2+x-2) lgdogf] A221575 5.40639 [-(2*x^7-12*x^6+39*x^5-56*x^4+24*x^3-90*x^2-21*x-6)/(x-1)^6 ogf] A221576 4.04319 [(2*x^9-18*x^8+80*x^7-193*x^6+355*x^5-378*x^4-54*x^3-433*x^2-71*x-10)/(x-1)^7 ogf] A221577 3.38972 [-(20*x^9-160*x^8+579*x^7-1096*x^6+1869*x^5-2336*x^4-1755*x^3-1928*x^2-217*x-16)/(x-1)^8 ogf] A221587 5.23445 [-2*(4*x^7+7*x^6-6*x^5-13*x^4+4*x^3-x^2-2*x+1)/(4*x-1)/(x^2+3*x-1)/(x^2-x-1) ogf] A221588 7.11573 [2*(32*x^5-164*x^4+12*x^3+33*x^2-4*x+2)/(8*x-1)/(4*x-1) ogf] A221589 5.95017 [-2*(368*x^5+1033*x^4-322*x^3-336*x^2-10*x-4)/(16*x-1)/(4*x-1) ogf] A221591 11.5345 [-x*(x^2+3*x+7)/(x^3+2*x^2+2*x-1) ogf] A221591 5.63718 [{-a(n+4)+2*a(n+3)+2*a(n+2)+a(n+1),a(0)=0,a(1)=7,a(2)=17,a(3)=49} ogf] A221591 6.14546 [(5063*f(x)+33136)*(f(x)*x^3+2*f(x)*x^2+x^3+2*f(x)*x+3*x^2-f(x)+7*x) ogf] A221591 7.35044 [-(-x^4-6*x^3-25*x^2-30*x-17)/(-x^5-5*x^4-15*x^3-19*x^2-11*x+7) lgdogf] A221592 7.57575 [-x*(8*x^4+4*x^3+12*x^2-4*x+13)/(4*x^6+4*x^5+6*x^4+4*x^2+3*x-1) ogf] A221593 5.58656 [-2*x*(x^4+4*x^3+16*x^2-10*x+8)/(x^6+5*x^5+19*x^4-6*x^3+3*x^2+4*x-1) ogf] A221594 4.41272 [-x*(3*x^6-9*x^5+42*x^4+17*x^3+54*x^2-23*x+19)/(2*x^8-5*x^7+24*x^6+17*x^5+33*x^4-7*x^3+5*x^2+4*x-1) ogf] A221595 4.28407 [-2*x*(6*x^6+18*x^4-14*x^3+54*x^2-24*x+11)/(8*x^8+2*x^7+23*x^6-14*x^5+65*x^4-16*x^3+3*x^2+5*x-1) ogf] A221597 5.28912 [-(323723952*f(x)+379651811)*(f(x)*x^3+2*x^4-3*f(x)*x^2+10*x^3+3*f(x)*x+21*x^2-f(x)+43*x+32) ogf] A221597 7.60625 [-(-2*x^4+8*x^3+51*x^2+128*x+139)/(2*x^5+8*x^4+11*x^3+22*x^2-11*x-32) lgdogf] A221597 9.85995 [-(2*x^4+10*x^3+21*x^2+43*x+32)/(x-1)^3 ogf] A221598 6.86352 [-(2*x^6+10*x^5+26*x^4+23*x^3-22*x^2-137*x-64)/(x-1)^4 ogf] A221599 6.79998 [-(28*x^5+16*x^4-217*x^3-556*x^2-601*x-128)/(x-1)^4 ogf] A221604 4.16732 [(378*f(x)+359)*(2*f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2+x^3-6*f(x)*x-2*x^2+f(x)+2*x-2) ogf] A221604 7.63106 [-(x^3-2*x^2+2*x-2)/(2*x^4-2*x^3+4*x^2-6*x+1) ogf] A221610 6.15266 [x*(x^2+x-1)*(3*x^3-x^2+2*x-2)/(3*x^5-10*x^4+5*x^3+9*x^2-7*x+1) ogf] A221619 2.93285 [-(1864036248*f(x)+1729901723)*(121*f(x)*x^4-264*f(x)*x^3+166*f(x)*x^2+121*x^3-24*f(x)*x-264*x^2+f(x)+166*x-24) ogf] A221619 5.57565 [-(11*x-12)*(11*x^2-12*x+2)/(11*x-1)^2/(x-1)^2 ogf] A221620 3.93831 [-(44616*x^4-93340*x^3+52950*x^2-4345*x+120)/(-1+66*x)/(26*x-1)^2/(x-1)^2 ogf] A221633 3.53613 [-(32*x^9-56*x^8-72*x^7-150*x^6-80*x^5-53*x^4-10*x^3+8*x^2-2*x-1)/(2*x+1)/(2*x-1)/(4*x-1)/(x+1)^2/(x-1)^4 ogf] A221639 3.75841 [{-a(n+3)+4392*a(n+2)-4208207*a(n+1)+777600000*a(n),a(0)=22,a(1)=32252,a(2)=65664390} ogf] A221639 5.88818 [-22*(754280*x^2-2926*x+1)/(243*x-1)/(3125*x-1)/(1024*x-1) ogf] A221652 4.82832 [{a(n+4)-3*a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=12,a(3)=40} ogf] A221652 5.43692 [(1+3*f(x))*(f(x)*x^3+f(x)*x^2-x^3+3*f(x)*x-x^2-f(x)+x+1) ogf] A221652 8.08744 [-(-8*x^2+4*x-4)/(x^5+x^4+2*x^3-2*x^2-3*x+1) lgdogf] A221652 9.37674 [(x-1)*(x+1)^2/(x^3+x^2+3*x-1) ogf] A221667 6.46101 [-4*(16*x^6-8*x^3+4*x^2-x+1)/(4*x-1)/(4*x^3-1)^2 ogf] A221673 7.92574 [(x-1)^2/(3*x^5-10*x^4+5*x^3+9*x^2-7*x+1) ogf] A221677 11.3909 [-x*(x+2)/(x^3+2*x^2+2*x-1) ogf] A221677 5.84937 [-(5*f(x)+4)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x) ogf] A221677 5.84937 [{a(n+3)-2*a(n+2)-2*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A221677 8.11600 [-(2*x^3+8*x^2+8*x+5)/(x^4+4*x^3+6*x^2+3*x-2) lgdogf] A221678 4.53885 [-(112*f(x)+1)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+x^3+3*f(x)*x-x^2-f(x)+2*x) ogf] A221678 8.64247 [-x*(x^2-x+2)/(x+1)/(x^3-2*x^2+4*x-1) ogf] A221679 6.48715 [-x*(2*x^4+2*x^3+3*x^2-x+2)/(4*x^6+4*x^5+6*x^4+4*x^2+3*x-1) ogf] A221680 6.23899 [-x*(2*x^3+6*x^2-3*x+2)/(x^6+5*x^5+19*x^4-6*x^3+3*x^2+4*x-1) ogf] A221681 4.52406 [-x*(x^6-x^5+6*x^4+3*x^3+8*x^2-3*x+2)/(2*x^8-5*x^7+24*x^6+17*x^5+33*x^4-7*x^3+5*x^2+4*x-1) ogf] A221682 4.17944 [-x*(2*x^6+2*x^5+5*x^4-4*x^3+13*x^2-5*x+2)/(8*x^8+2*x^7+23*x^6-14*x^5+65*x^4-16*x^3+3*x^2+5*x-1) ogf] A221684 11.8978 [(x+2)*(x^3+2*x^2+8)/(x-1)^2 ogf] A221684 6.26202 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=16,a(1)=40,a(2)=68,a(3)=100,a(4)=133} ogf] A221684 6.6628 [-(445269*f(x)+1067416)*(-x^4+f(x)*x^2-4*x^3-2*f(x)*x-4*x^2+f(x)-8*x-16) ogf] A221684 9.91487 [-(2*x^4-12*x^2-16*x-40)/(-x^5-3*x^4-4*x^2-8*x+16) lgdogf] A221685 8.30968 [(x^6+4*x^5+8*x^4-2*x^3+2*x^2-17*x-32)/(x-1)^3 ogf] A221686 8.54532 [2*(5*x^5+4*x^4-28*x^3-38*x^2-64*x-32)/(x-1)^3 ogf] A221687 4.78439 [-(2*x^4+2*x^3+5*x^2+4*x-3)/(2*x^6+12*x^5+15*x^4+29*x^3+18*x^2-13*x+1) ogf] A221689 3.21037 [(13125911918+12409282161*f(x))*(2*f(x)*x^4-71*f(x)*x^3+4*x^4-69*f(x)*x^2-98*x^3+24*f(x)*x-122*x^2-f(x)+8*x+6) ogf] A221689 6.03267 [-2*(2*x^4-49*x^3-61*x^2+4*x+3)/(2*x^4-71*x^3-69*x^2+24*x-1) ogf] A221694 3.76208 [-(24*x^8-24*x^7+38*x^6+36*x^5-27*x^4-21*x^3+19*x^2+16*x+1)/(8*x^7-16*x^6+22*x^5-2*x^4-11*x^3-4*x^2+9*x-1)/(2*x+1)^2 ogf] A221719 15.1059 [x*(x^2+2*x-2)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A221719 8.16839 [(f(x)-567)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x-2*x^2-f(x)+2*x) ogf] A221719 9.34517 [-(4*x^5+11*x^4-20*x^3-6*x^2+18*x-6)/(2*x^6+3*x^5-10*x^4-2*x^3+15*x^2-10*x+2) lgdogf] A221720 8.21883 [-(x^8+2*x^7+2*x^6+3*x^5+2*x^4+x^3+2*x^2-2*x+1)/(x-1)^3 ogf] A221731 13.3959 [-(2*x+3)/(2*x^2+5*x-1) ogf] A221731 7.00948 [(97*f(x)-2)*(2*f(x)*x^2+5*f(x)*x-f(x)+2*x+3) ogf] A221731 7.26283 [{a(n+2)-5*a(n+1)-2*a(n),a(0)=3,a(1)=17} ogf] A221731 8.86493 [-(-4*x^2-12*x-17)/(-4*x^3-16*x^2-13*x+3) lgdogf] A221732 3.42187 [(219684061*f(x)+230767596)*(17*f(x)*x^4-6*f(x)*x^3-17*f(x)*x^2+16*x^3-18*f(x)*x-32*x^2+f(x)-8*x-8) ogf] A221732 6.59335 [-8*(2*x^3-4*x^2-x-1)/(17*x^4-6*x^3-17*x^2-18*x+1) ogf] A221737 5.27877 [-(12*x^5-64*x^4+86*x^3-36*x^2+2*x+1)/(10*x^5-80*x^4+120*x^3-67*x^2+15*x-1) ogf] A221756 4.63328 [(605*f(x)-2876)*(4*f(x)*x^4-f(x)*x^3-6*f(x)*x^2+4*x^3-f(x)*x+x^2+f(x)-2*x) ogf] A221756 8.75881 [-x*(4*x^2+x-2)/(4*x^4-x^3-6*x^2-x+1) ogf] A221757 3.39972 [-x*(10*x^8-38*x^7-161*x^6-30*x^5+235*x^4-12*x^3-65*x^2+4)/(9*x^10-34*x^9-131*x^8-48*x^7+329*x^6-20*x^5-165*x^4+14*x^3+27*x^2-1) ogf] A221762 10.4009 [(x+1)*(x^2+x+1)/(x^4-20*x^2+1) ogf] A221762 6.24054 [(71820*f(x)-15863)*(f(x)*x^4-20*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A221763 10.4490 [-(x-1)*(x^2+5*x+1)/(x^4-20*x^2+1) ogf] A221763 6.21295 [(100548*f(x)-16087)*(f(x)*x^4-20*f(x)*x^2+x^3+4*x^2+f(x)-4*x-1) ogf] A221763 6.32694 [{-a(n+4)+20*a(n+2)-a(n),a(0)=1,a(1)=4,a(2)=16,a(3)=79} ogf] A221764 4.08836 [(6718*f(x)+3203)*(f(x)*x^4-8*f(x)*x^3+14*f(x)*x^2-6*x^3-8*f(x)*x+8*x^2+f(x)-3*x) ogf] A221764 7.73473 [x*(6*x^2-8*x+3)/(x^2-6*x+1)/(x-1)^2 ogf] A221769 5.86001 [-3*(x-1)*(x^3-7*x^2+5*x-1)/(10*x^5-80*x^4+120*x^3-67*x^2+15*x-1) ogf] A221777 7.40121 [-(x^3+x^2-x-3)/(x^2+1)/(x^3+4*x^2-8*x+1) ogf] A221783 5.78234 [-x*(x^3+x^2+5*x+3)/(x^5+5*x^3+5*x^2-1) ogf] A221788 7.60356 [x^3*(20*x^2-16*x+5)/(x^2-6*x+1)/(x-1)^2 ogf] A221795 4.53887 [(15009*f(x)+23428)*(4*f(x)*x^4-f(x)*x^3-6*f(x)*x^2+4*x^3-f(x)*x-x^2+f(x)-4*x-1) ogf] A221795 8.54722 [-(4*x^3-x^2-4*x-1)/(4*x^4-x^3-6*x^2-x+1) ogf] A221796 3.22257 [-x*(9*x^8-34*x^7-130*x^6-54*x^5+296*x^4-22*x^3-117*x^2+12*x+12)/(9*x^10-34*x^9-131*x^8-48*x^7+329*x^6-20*x^5-165*x^4+14*x^3+27*x^2-1) ogf] A221801 5.27027 [-x*(4*x^4-11*x^3+2*x^2-16*x+9)/(4*x^6-7*x^5+4*x^4-10*x^3-8*x^2+8*x-1) ogf] A221821 4.51780 [-(8*x^6-16*x^5+22*x^4+2*x^3-15*x^2+4*x+3)/(8*x^7-16*x^6+22*x^5-2*x^4-11*x^3-4*x^2+9*x-1) ogf] A221829 11.1117 [-x*(x^2-x-3)/(2*x^2-5*x+1) ogf] A221829 5.50756 [{-a(n+4)+5*a(n+3)-2*a(n+2),a(0)=0,a(1)=3,a(2)=16,a(3)=73} ogf] A221829 6.03209 [-(344*f(x)+703)*(2*f(x)*x^2+x^3-5*f(x)*x-x^2+f(x)-3*x) ogf] A221829 9.45327 [-(3*x^2-14*x+16)/(2*x^4-7*x^3+14*x-3) lgdogf] A221853 3.84063 [-(2*x^6+8*x^5-16*x^4-58*x^3+87*x^2-18*x-1)/(2*x^8-18*x^7+42*x^6+10*x^5-189*x^4+113*x^3+14*x^2-13*x+1) ogf] A221855 13.2163 [2*(4*x^4-7*x^3-3*x^2-2)/(x-1)^3 ogf] A221855 7.29855 [(13088*f(x)-1629287)*(f(x)*x^3-8*x^4-3*f(x)*x^2+14*x^3+3*f(x)*x+6*x^2-f(x)+4) ogf] A221855 9.87884 [-(4*x^4-16*x^3+24*x^2+6*x+6)/(-4*x^5+11*x^4-4*x^3-3*x^2+2*x-2) lgdogf] A221859 4.69248 [(73*f(x)+1)*(f(x)*x^5-15*f(x)*x^4+35*f(x)*x^3-28*f(x)*x^2-2*x^3+9*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A221859 8.47847 [(2*x-1)*(x^2-3*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A221862 4.68603 [(1583*f(x)+10)*(f(x)*x^5-15*f(x)*x^4+35*f(x)*x^3-28*f(x)*x^2-x^3+9*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A221862 8.62656 [(x-1)*(x^2-3*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A221863 9.65212 [-(x^2-3*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A221874 10.2098 [(x+1)*(x^2+4*x+1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A221874 5.91094 [-(311688*f(x)-5233)*(f(x)*x^4-38*f(x)*x^2-x^3-5*x^2+f(x)-5*x-1) ogf] A221875 10.2566 [-(x-1)*(x^2+8*x+1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A221875 5.88642 [-(311688*f(x)-52001)*(f(x)*x^4-38*f(x)*x^2+x^3+7*x^2+f(x)-7*x-1) ogf] A221880 7.89228 [(x^2+x-1)*(x^3-4*x^2+2*x-1)/(x+1)/(2*x-1)^2/(x-1)^2 ogf] A221882 5.27946 [-(46*f(x)-1839)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+2*x^3-6*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A221882 7.76082 [-(-4*x^4+2*x^3-6*x^2+10*x-4)/(-4*x^5+10*x^4-12*x^3+10*x^2-5*x+1) lgdogf] A221882 9.82382 [-(2*x^3-2*x^2+2*x-1)/(2*x-1)^2/(x-1)^2 ogf] A221883 3.99245 [(x^6-2*x^5-5*x^4+2*x^3+14*x^2+12*x+3)/(x^8-3*x^7-5*x^6+13*x^5+18*x^4-16*x^3-27*x^2-7*x+1) ogf] A221891 4.31953 [(39455069*f(x)+42775941)*(3*f(x)*x^4-5*f(x)*x^3+2*f(x)*x^2+3*x^3-5*f(x)*x-8*x^2+f(x)) ogf] A221891 8.95206 [-x^2*(3*x-8)/(3*x^4-5*x^3+2*x^2-5*x+1) ogf] A221894 4.54028 [-(x^6-4*x^5-2*x^4+34*x^3+33*x^2+16*x+3)/(x^7-4*x^6-2*x^5+34*x^4+45*x^3+26*x^2+5*x-1) ogf] A221899 4.54028 [-(x^6-4*x^5-2*x^4+10*x^3+25*x^2+16*x+3)/(x^7-4*x^6-2*x^5+34*x^4+45*x^3+26*x^2+5*x-1) ogf] A221904 10.2114 [-(19*x-2)/(10*x-1)/(9*x-1) ogf] A221904 5.21432 [-(f(x)+359)*(90*f(x)*x^2-19*f(x)*x+f(x)+19*x-2) ogf] A221904 5.76641 [{a(n+2)-19*a(n+1)+90*a(n),a(0)=2,a(1)=19} ogf] A221904 6.44928 [-(-1710*x^2+360*x-19)/(-1710*x^3+541*x^2-57*x+2) lgdogf] A221905 5.08968 [-(20*f(x)-89)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-8*x^2-f(x)+x+1) ogf] A221905 5.26985 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=6,a(2)=15} ogf] A221905 7.00580 [-(-24*x^3-18*x^2+24*x-6)/(-24*x^4+35*x^3-9*x^2-3*x+1) lgdogf] A221905 9.76218 [(8*x^2-x-1)/(3*x-1)/(x-1)^2 ogf] A221906 4.63656 [-(63*f(x)+41)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-15*x^2-f(x)+2*x+1) ogf] A221906 4.84172 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=8,a(2)=24} ogf] A221906 6.36179 [-(-60*x^3-44*x^2+40*x-8)/(-60*x^4+83*x^3-21*x^2-3*x+1) lgdogf] A221906 8.82442 [(5*x+1)*(3*x-1)/(4*x-1)/(x-1)^2 ogf] A221907 4.97582 [-(1296*f(x)+2239)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-24*x^2-f(x)+3*x+1) ogf] A221907 5.32197 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=10,a(2)=35} ogf] A221907 6.80029 [-(-120*x^3-90*x^2+60*x-10)/(-120*x^4+159*x^3-37*x^2-3*x+1) lgdogf] A221907 9.71470 [(24*x^2-3*x-1)/(5*x-1)/(x-1)^2 ogf] A221908 4.60688 [-(25*f(x)+59)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x-35*x^2-f(x)+4*x+1) ogf] A221908 4.76712 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=1,a(1)=12,a(2)=48} ogf] A221908 6.02438 [-(-210*x^3-162*x^2+84*x-12)/(-210*x^4+269*x^3-57*x^2-3*x+1) lgdogf] A221908 8.70189 [(35*x^2-4*x-1)/(6*x-1)/(x-1)^2 ogf] A221909 4.30715 [(11700*f(x)+33863)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x-48*x^2-f(x)+5*x+1) ogf] A221909 4.53188 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=1,a(1)=14,a(2)=63} ogf] A221909 8.27248 [(48*x^2-5*x-1)/(7*x-1)/(x-1)^2 ogf] A221910 4.5505 [(6615*f(x)+22489)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x-63*x^2-f(x)+6*x+1) ogf] A221910 4.74664 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=1,a(1)=16,a(2)=80} ogf] A221910 5.92054 [-(-504*x^3-408*x^2+144*x-16)/(-504*x^4+615*x^3-109*x^2-3*x+1) lgdogf] A221910 8.60328 [(63*x^2-6*x-1)/(8*x-1)/(x-1)^2 ogf] A221911 4.66801 [(53312*f(x)+207679)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x-80*x^2-f(x)+7*x+1) ogf] A221911 4.94971 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=1,a(1)=18,a(2)=99} ogf] A221911 6.17383 [-(-720*x^3-594*x^2+180*x-18)/(-720*x^4+863*x^3-141*x^2-3*x+1) lgdogf] A221911 8.97134 [(80*x^2-7*x-1)/(9*x-1)/(x-1)^2 ogf] A221912 12.6830 [-x^12/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A221933 5.17739 [-(x^4-26*x^3+3*x^2+21*x+6)/(x^5-26*x^4-5*x^3+21*x^2+14*x-1) ogf] A221938 3.66345 [-(x^8-4*x^7-19*x^6+8*x^5+33*x^4-3*x^3-29*x^2-14*x-1)/(x^9-4*x^8-10*x^7+20*x^6+42*x^5-x^4-40*x^3-25*x^2-3*x+1) ogf] A221948 9.34500 [x*(x^6-2*x^5+7*x^4-12*x^3+11*x^2-5*x+1)/(x-1)^6 ogf] A221948 9.57293 [-(-4*x^5-4*x^4+8*x^3-8*x^2+3*x-1)/(-x^7+3*x^6-9*x^5+19*x^4-23*x^3+16*x^2-6*x+1) lgdogf] A221949 12.8472 [-x*(2*x^4+x^3+x^2-2*x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A221949 7.94028 [-(2*x^7+4*x^6+6*x^5+4*x^4-x^3-3*x^2+x-1)/(2*x^8+x^7+x^6-6*x^5+x^4-x^3+5*x^2-4*x+1) lgdogf] A221950 17.3597 [-1/(x^6+2*x^5+3*x^4+2*x^3+x^2+x-1) ogf] A221950 9.89807 [-(-6*x^5-10*x^4-12*x^3-6*x^2-2*x-1)/(-x^6-2*x^5-3*x^4-2*x^3-x^2-x+1) lgdogf] A221953 17.6768 [-20*f(x)^2*x+f(x)^2-1 egf] A221953 27.1044 [10/(-20*x+1) lgdegf] A221953 66.8165 [10/(-20*x+1) lgdegf] A221953 8.93551 [{(-20*n-30)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A221954 10.6327 [{(-12*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=6} ogf] A221954 20.8031 [-12*f(x)^2*x+f(x)^2-1 egf] A221954 32.9980 [6/(-12*x+1) lgdegf] A221954 85.9241 [6/(-12*x+1) lgdegf] A221955 18.2311 [-24*f(x)^2*x+f(x)^2-1 egf] A221955 27.9543 [12/(-24*x+1) lgdegf] A221955 68.9414 [12/(-24*x+1) lgdegf] A221955 9.21571 [{(-24*n-36)*a(n+1)+a(n+2),a(0)=1,a(1)=12} ogf] A221957 4.18199 [{(-4*n^2-18*n-20)*a(n+1)+(n^2+10*n+19)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A221959 11.1632 [(17*x-2)/(6*x-1)/(4*x-1)/(8*x-1)/(16*x-1)/(10*x-1) ogf] A221962 4.43405 [(573*f(x)-6118)*(8*f(x)*x^4+4*f(x)*x^3-8*f(x)*x^2+56*x^3-3*f(x)*x+28*x^2+f(x)-28*x-7) ogf] A221962 8.03670 [-7*(8*x^3+4*x^2-4*x-1)/(x+1)/(8*x^3-4*x^2-4*x+1) ogf] A221963 5.84316 [-9*(2*x-1)*(8*x^3-6*x-1)/(x-1)/(2*x+1)/(8*x^3-6*x+1) ogf] A221964 4.72535 [-11*(32*x^5+16*x^4-32*x^3-12*x^2+6*x+1)/(x+1)/(32*x^5-16*x^4-32*x^3+12*x^2+6*x-1) ogf] A221965 4.30497 [-13*(64*x^6-32*x^5-80*x^4+32*x^3+24*x^2-6*x-1)/(x-1)/(64*x^6+32*x^5-80*x^4-32*x^3+24*x^2+6*x-1) ogf] A221966 3.49887 [-15*(2*x+1)*(4*x^2+2*x-1)*(16*x^4-8*x^3-16*x^2+8*x+1)/(2*x-1)/(x+1)/(4*x^2-2*x-1)/(16*x^4+8*x^3-16*x^2-8*x+1) ogf] A221968 5.49459 [-(x^2-12*x-9)*(x^3+5*x^2+27*x+7)/(x-1)^6 ogf] A221969 4.39411 [-(x+3)*(x^5-9*x^4+170*x^3+878*x^2+453*x+43)/(x-1)^7 ogf] A221970 3.69426 [-(x^7-9*x^6-219*x^5-5469*x^4-21597*x^3-21723*x^2-5385*x-255)/(x-1)^8 ogf] A221992 8.23316 [-(x^2+x+1)*(x^4-x^3-x+2)/(x^7-x^6-x^4+2*x^3+x-1) ogf] A221993 5.83966 [-(x^2+x+1)*(x^6+2*x^4-3*x^3-x+2)/(x^9+2*x^7-3*x^6-2*x^4+3*x^3+x-1) ogf] A222001 10.2635 [-(3*x^3-10*x^2+12*x-6)/(x-1)^4 ogf] A222001 4.26747 [{(13*n^2+101*n+150)*a(n+1)+(-28*n^2-200*n-324)*a(n+2)+(15*n^2+93*n+144)*a(n+3),a(0)=6,a(1)=12,a(2)=22} ogf] A222001 5.63069 [(224*f(x)+1541)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-10*x^2+f(x)+12*x-6) ogf] A222001 9.42813 [-(-3*x^3+11*x^2-16*x+12)/(-3*x^4+13*x^3-22*x^2+18*x-6) lgdogf] A222006 12.7292 [1/2/x^2+1/2*I*(2*x+1)^(1/2)*(2*x-1)^(1/2)/x^2 ogf_with_Euler_transform] A222015 3.73121 [-(x+1)*(x^7-5*x^6-5*x^5+21*x^4+13*x^3-17*x^2-15*x-3)/(x^9-4*x^8-10*x^7+20*x^6+42*x^5-x^4-40*x^3-25*x^2-3*x+1) ogf] A222021 7.05824 [-(x^8+x^7+2*x^6+x^5+x^4+x^2+x+2)/(x^4-x^3+x^2-x+1)/(x^5+x^4+x^3+x^2-1) ogf] A222022 4.54148 [-(x^14-x^13-x^12-2*x^11-2*x^8-x^3+x^2+x+2)/(x-1)/(x^2+x+1)/(x^12-2*x^11-x^8-x^6-x^3-x+1) ogf] A222036 4.63329 [-(x^11+2*x^10+x^9-x^8+x^6+2*x^5-x^2+2)/(x^12+x^11-x^10-2*x^9+x^8+x^7+x^6-x^5-x^3+2*x-1) ogf] A222040 10.3578 [(x^6+x^5+x^4+x^3+2)/(x-1)/(x^2+x-1) ogf] A222042 7.83202 [(x^9+x^8+x^7+x^6+x^5+x^4+x^3+2)/(x-1)/(x^2+x-1) ogf] A222055 10.0130 [(-ln(x-1)-ln(x+1)+I*Pi)/x^2 lgdegf] A222055 26.6015 [(-ln(x-1)-ln(x+1)+I*Pi)/x^2 lgdegf] A222080 5.16505 [{(4*n^2+12*n+9)*a(n+1)+(-4*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=11} ogf] A222090 3.99245 [-(2*x^6-18*x^5+49*x^4-63*x^3+51*x^2-20*x+3)/(4*x^7-44*x^6+156*x^5-258*x^4+217*x^3-90*x^2+17*x-1) ogf] A222094 4.26885 [(2*x^5-20*x^4+49*x^3-49*x^2+20*x-3)/(4*x^7-44*x^6+156*x^5-258*x^4+217*x^3-90*x^2+17*x-1) ogf] A222098 11.0314 [-2*(3*x-2)/(17*x^2-13*x+1) ogf] A222098 5.45766 [-(231*f(x)+134)*(17*f(x)*x^2-13*f(x)*x+f(x)+6*x-4) ogf] A222098 6.09973 [{a(n+2)-13*a(n+1)+17*a(n),a(0)=4,a(1)=46} ogf] A222098 7.40681 [-(-51*x^2+68*x-23)/(-51*x^3+73*x^2-29*x+2) lgdogf] A222099 5.04343 [-2*(36*x^4-26*x^3-133*x^2+71*x-8)/(144*x^5-114*x^4-521*x^3+302*x^2-42*x+1) ogf] A222121 7.38323 [-(x^7+x^6+x^5+x^4+x^2+x+2)/(x^2+x+1)/(x^6-x^5+x^4-x^2+2*x-1) ogf] A222122 9.77897 [-(x^4+x^3+x^2+x+2)/(x^5+x^3+x-1) ogf] A222123 7.88190 [-(x^5-x^4-2*x^3-x^2-x-2)/(x^6-2*x^5-x^3-x+1) ogf] A222124 4.11524 [-(x^2+x+1)*(x^10-2*x^9-x^8+2*x^7-3*x^6+2*x^4-3*x^3+x-2)/(x^13-2*x^12-x^10-x^8-x^5-x^3-x+1) ogf] A222125 4.59167 [-(x^14-x^12-x^10-2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+2)/(x^2-x+1)/(x^13-x^11-x^10+x^8+x^7-x^6+x^4+2*x^3+x^2-1) ogf] A222138 10.1568 [{a(n+1)-13*a(n),a(0)=4} ogf] A222138 12.8169 [-13*f(x)*x+f(x)-4 ogf] A222138 17.9437 [13/(-13*x+1) lgdogf] A222138 20.7042 [-4/(13*x-1) ogf] A222139 4.98782 [-(6677*f(x)+7412)*(116*f(x)*x^2-45*f(x)*x+f(x)+44*x-16) ogf] A222139 5.66798 [{a(n+2)-45*a(n+1)+116*a(n),a(0)=16,a(1)=676} ogf] A222139 6.39464 [-(-1276*x^2+928*x-169)/(-1276*x^3+959*x^2-191*x+4) lgdogf] A222139 9.97564 [-4*(11*x-4)/(116*x^2-45*x+1) ogf] A222140 2.89382 [-(252511604804741*f(x)+489112692325936)*(6434*f(x)*x^3-2197*f(x)*x^2+153*f(x)*x+3008*x^2-f(x)-1004*x+64) ogf] A222140 3.51710 [{-a(n+3)+153*a(n+2)-2197*a(n+1)+6434*a(n),a(0)=64,a(1)=8788,a(2)=1206964} ogf] A222140 6.01609 [-4*(752*x^2-251*x+16)/(6434*x^3-2197*x^2+153*x-1) ogf] A222160 7.66612 [(x+1)^2/(x^2+x-1)/(x^4+x^3+2*x^2+2*x-1) ogf] A222170 9.22667 [-x*(x+1)*(x^2+3*x+1)/(x^2+x+1)/(x-1)^3 ogf] A222182 12.5468 [-(5*x^2-18*x+1)/(5*x^3-19*x^2+19*x-5) lgdogf] A222182 13.5586 [(5*x^2-14*x+5)/(x-1)^3 ogf] A222182 7.06414 [-(25*f(x)-198)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+14*x-5) ogf] A222182 7.50565 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-5,a(1)=-1,a(2)=7} ogf] A222210 6.11570 [-(10*x^30-20*x^20+9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-2*x^2+x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A222217 5.26387 [(x^9+8*x^8-15*x^7+16*x^6-15*x^5+16*x^4-15*x^3+16*x^2-15*x+8)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A222218 7.38574 [(10*x^10-8*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-8*x+9)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A222225 6.52576 [x*(70*x^29-140*x^19+71*x^9+8*x^8-6*x^7+x^6+x^5+x^4+x^3+x^2-6*x+8)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A222254 7.68356 [x*(2*x^9-x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A222256 11.9969 [x*(4*x^4+2*x^3+3*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A222257 11.7061 [(3*x^5+x^4+2*x^3+3*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A222258 13.1608 [x*(5*x^6+2*x^5+3*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A222259 12.7572 [(4*x^7+x^6+2*x^5+3*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A222260 11.0859 [x*(6*x^8+2*x^7+3*x^6+4*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A222261 9.36711 [(5*x^9+x^8+2*x^7+3*x^6+4*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A222276 4.85329 [-(37222*f(x)+41855)*(335*f(x)*x^2-92*f(x)*x+f(x)+95*x-25) ogf] A222276 5.56219 [{a(n+2)-92*a(n+1)+335*a(n),a(0)=25,a(1)=2205} ogf] A222276 6.18794 [-(-6365*x^2+3350*x-441)/(-6365*x^3+3423*x^2-479*x+5) lgdogf] A222276 9.90070 [-5*(19*x-5)/(335*x^2-92*x+1) ogf] A222277 3.26825 [{-a(n+3)+399*a(n+2)-10749*a(n+1)+64767*a(n),a(0)=125,a(1)=46305,a(2)=17153945} ogf] A222277 5.51518 [-5*(4375*x^2-714*x+25)/(64767*x^3-10749*x^2+399*x-1) ogf] A222308 8.13398 [-(-3*x^5-31*x^4-115*x^3-171*x^2-126*x-34)/(-x^6-7*x^5-17*x^4-9*x^3+12*x^2+16*x+6) lgdogf] A222308 8.69983 [-x*(x^4+7*x^3+18*x^2+16*x+6)/(x+1)^2/(x-1)^5 ogf] A222309 5.09044 [-x*(x^8+17*x^7+126*x^6+354*x^5+591*x^4+507*x^3+262*x^2+58*x+4)/(x+1)^4/(x-1)^7 ogf] A222329 7.25759 [-(x^6+x^5+x^4+x^3+x^2+x+2)/(x^7+x^5+x^3+x-1) ogf] A222330 5.92191 [-(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x^9+x^7+x^5+x^3+x-1) ogf] A222331 4.92616 [-(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x^11+x^9+x^7+x^5+x^3+x-1) ogf] A222332 4.17893 [-(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x^13+x^11+x^9+x^7+x^5+x^3+x-1) ogf] A222333 3.62854 [-(x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+2)/(x^15+x^13+x^11+x^9+x^7+x^5+x^3+x-1) ogf] A222335 12.5086 [-31*f(x)*x+f(x)-6 ogf] A222335 17.5121 [31/(-31*x+1) lgdogf] A222335 20.2062 [-6/(31*x-1) ogf] A222335 9.91249 [{a(n+1)-31*a(n),a(0)=6} ogf] A222336 4.39637 [-(49759*f(x)+55718)*(774*f(x)*x^2-165*f(x)*x+f(x)+174*x-36) ogf] A222336 5.08026 [{a(n+2)-165*a(n+1)+774*a(n),a(0)=36,a(1)=5766} ogf] A222336 8.79275 [-6*(29*x-6)/(774*x^2-165*x+1) ogf] A222337 3.57947 [{-a(n+3)+873*a(n+2)-38091*a(n+1)+387974*a(n),a(0)=216,a(1)=178746,a(2)=147918906} ogf] A222337 6.02399 [-6*(16884*x^2-1637*x+36)/(387974*x^3-38091*x^2+873*x-1) ogf] A222341 6.21125 [-(35*x^4-515*x^3+1078*x^2-674*x+126)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A222342 4.49359 [-(126*x^5-2611*x^4+8095*x^3-8341*x^2+3368*x-462)/(x^6-21*x^5+70*x^4-84*x^3+45*x^2-11*x+1) ogf] A222381 6.49268 [-2*(32*x^6+16*x^4-20*x^3+4*x+1)/(4*x-1)/(4*x^3-1)^2 ogf] A222382 6.42711 [-8*(16*x^4+8*x^2-2*x+1)/(8*x-1)/(2*x-1)^2/(2*x+1)^2 ogf] A222390 8.58527 [-3*x*(x^2+4*x+1)/(x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A222393 7.16684 [-(3*x^5+3*x^4-38*x^3-102*x^2+67*x+3)/(x^6-35*x^4+35*x^2-1) lgdogf] A222393 8.46205 [-4*x*(x+1)^2/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A222408 6.65335 [-(x^4+6*x^3+16*x^2+6*x+1)/(x-1)^5 ogf] A222409 11.2244 [x*(x^4+3*x^3-2*x^2+3*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A222410 4.51691 [-(x^6+8*x^5+29*x^4+64*x^3+29*x^2+8*x+1)/(x-1)^7 ogf] A222431 4.14503 [-(x^12+x^10+x^9-2*x^8+x^7-x^6-x^5+2*x^4+x-2)/(x-1)/(x+1)/(x^2+1)/(x^9-x^8+x^7-x^5+x^4-x^2+2*x-1) ogf] A222439 10.8593 [-3*(5*x-3)/(27*x^2-18*x+1) ogf] A222439 5.42965 [-(240*f(x)+241)*(27*f(x)*x^2-18*f(x)*x+f(x)+15*x-9) ogf] A222439 6.06101 [{a(n+2)-18*a(n+1)+27*a(n),a(0)=9,a(1)=147} ogf] A222439 7.04388 [-(-135*x^2+162*x-49)/(-135*x^3+171*x^2-59*x+3) lgdogf] A222440 3.97803 [-(34260828260*f(x)+31413749121)*(263*f(x)*x^3-267*f(x)*x^2+45*f(x)*x+189*x^2-f(x)-186*x+27) ogf] A222440 4.61452 [{-a(n+3)+45*a(n+2)-267*a(n+1)+263*a(n),a(0)=27,a(1)=1029,a(2)=39285} ogf] A222440 8.12415 [-3*(63*x^2-62*x+9)/(263*x^3-267*x^2+45*x-1) ogf] A222459 3.83215 [-(477572*f(x)+530579)*(1547*f(x)*x^2-270*f(x)*x+f(x)+287*x-49) ogf] A222459 4.45697 [{a(n+2)-270*a(n+1)+1547*a(n),a(0)=49,a(1)=12943} ogf] A222459 7.73662 [-7*(41*x-7)/(1547*x^2-270*x+1) ogf] A222465 11.6437 [-(-7*x^2-10*x-7)/(-7*x^3+9*x^2-5*x+3) lgdogf] A222465 12.4072 [-(7*x^2-2*x+3)/(x-1)^3 ogf] A222465 6.63893 [(80*f(x)-141)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-2*x+3) ogf] A222465 6.69768 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=19} ogf] A222467 5.23761 [{2*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A222468 4.89980 [{-2*a(n+1)+(-n-4)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=8} ogf] A222469 4.68388 [{-2*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=0} ogf] A222470 4.67131 [{2*a(n+1)+(-n-4)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A222472 5.00135 [{-3*a(n+1)+(-n-4)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A222549 5.25583 [-(x^6+3*x^5-11*x^4+6*x^3-6*x^2+15*x-7)/(x-1)/(x^6+4*x^5-8*x^4-2*x^2+4*x-1) ogf] A222550 3.72007 [-(7*x^8+148*x^7+224*x^6-473*x^5+175*x^4+14*x^3-110*x^2+115*x-31)/(x^9+21*x^8+29*x^7-73*x^6+36*x^5-4*x^4-10*x^3+15*x^2-7*x+1) ogf] A222591 6.68063 [-(2*x^8+2*x^7+x^6-x^5+2*x^4+x^3+8*x^2+5*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A222620 4.10309 [x*(5*x^20-x^19-x^18-x^17-x^16+8*x^15+45*x^14+10*x^13+10*x^12+10*x^11+10*x^10+x^9+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A222655 7.45959 [-(5*x^4+100*x^3+270*x^2+100*x+5)/(5*x^5+35*x^4+10*x^3-50*x^2+x-1) lgdogf] A222655 8.15893 [-4*(5*x^4+40*x^3+50*x^2+1)/(x-1)^5 ogf] A222657 13.5791 [(x^3+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A222657 4.98990 [{(-4*n-15)*a(n+1)-4*a(n+2)-4*a(n+3)+(4*n+11)*a(n+4),a(0)=1,a(1)=3,a(2)=3,a(3)=5} ogf] A222657 7.39575 [(8*f(x)+21)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+f(x)-2*x-1) ogf] A222657 9.41277 [-(-x^5-x^4-7*x^3-9*x^2-3*x-3)/(-x^6-2*x^4+2*x+1) lgdogf] A222704 16.5119 [-(x^5-x^3-x)/(-x+1) ogf_with_Euler_transform] A222705 16.7587 [-(x^6-x^4-x)/(-x+1) ogf_with_Euler_transform] A222706 16.5998 [-(x^7-x^5-x)/(-x+1) ogf_with_Euler_transform] A222707 16.9255 [-(x^8-x^6-x)/(-x+1) ogf_with_Euler_transform] A222708 16.8456 [-(x^9-x^7-x)/(-x+1) ogf_with_Euler_transform] A222709 16.4305 [-(x^10-x^8-x)/(-x+1) ogf_with_Euler_transform] A222710 16.2740 [-(x^11-x^9-x)/(-x+1) ogf_with_Euler_transform] A222715 7.07896 [2*(7*x^4+8*x^3+12*x^2+4*x+1)/(x+1)^3/(x-1)^6 ogf] A222716 11.2996 [10*x*(x^2+4*x+1)/(x-1)^6 ogf] A222716 16.2645 [-(4*x^2+22*x+10)/(x^3+3*x^2-3*x-1) lgdogf] A222716 5.34060 [{(n+3)*a(n+4)+(-4+3*n)*a(n+3)+(-25-3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=10,a(2)=100,a(3)=460} ogf] A222731 12.4741 [-(x^7-x^6-2*x^4+2*x^2+x)/(x-1) ogf_with_Euler_transform] A222732 12.7943 [-(-x^9+x^8+2*x^5-2*x^3-x)/(-x+1) ogf_with_Euler_transform] A222733 12.0102 [-(x^11-x^10-2*x^6+2*x^4+x)/(x-1) ogf_with_Euler_transform] A222734 12.0758 [-(-x^13+x^12+2*x^7-2*x^5-x)/(-x+1) ogf_with_Euler_transform] A222735 12.3725 [-(x^15-x^14-2*x^8+2*x^6+x)/(x-1) ogf_with_Euler_transform] A222736 12.1982 [-(-x^17+x^16+2*x^9-2*x^7-x)/(-x+1) ogf_with_Euler_transform] A222737 11.9044 [-(x^19-x^18-2*x^10+2*x^8+x)/(x-1) ogf_with_Euler_transform] A222738 12.1963 [-(x^21-x^20-2*x^11+2*x^9+x)/(x-1) ogf_with_Euler_transform] A222739 5.21172 [-4*(250000*x^3-157875*x^2+6795*x-19)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A222740 4.16124 [-(x^8+15*x^7+2*x^6-3*x^5+66*x^4-3*x^3+2*x^2+15*x+1)/(x-1)^3/(x^2+1)^3 ogf] A222755 4.70351 [-(16*x^14+16*x^12-x^10+4*x^9-49*x^8-x^7-16*x^6-x^5-5*x^3+4*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A222759 4.54380 [-x*(x^24-x^22+x^21-x^19+x^18-x^16+x^15-x^13+x^12-x^10+x^9-x^7+x^6+x^3-x^2-x+2)/(x-1) ogf] A222776 5.10026 [(x+1)*(53*x^5-189*x^4+192*x^3-81*x^2+15*x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1) ogf] A222777 4.87516 [(660*x^5-1779*x^4-667*x^3+559*x^2-71*x+2)/(x-1)/(4*x-1)/(25*x-1)/(9*x-1) ogf] A222778 3.00693 [{a(n+5)-101*a(n+4)+1470*a(n+3)-3528*a(n+2),a(0)=3,a(1)=34,a(2)=969,a(3)=64752,a(4)=5227536} ogf] A222778 5.16816 [(7938*x^4-6279*x^3-1945*x^2+269*x-3)/(3*x-1)/(14*x-1)/(84*x-1) ogf] A222834 4.76958 [{a(n+4)-2*a(n+3)-2*a(n+2)+a(n+1),a(0)=7,a(1)=96,a(2)=216,a(3)=600} ogf] A222834 4.91302 [-(1091*f(x)+26563)*(f(x)*x^3-2*f(x)*x^2+17*x^3-2*f(x)*x-10*x^2+f(x)-82*x-7) ogf] A222834 9.07546 [-(17*x^3-10*x^2-82*x-7)/(x+1)/(x^2-3*x+1) ogf] A222835 6.31513 [(72*x^6+144*x^5-173*x^4-202*x^3+120*x^2-346*x-19)/(x^2+1)/(x^2+2*x-1) ogf] A222867 6.10186 [(x+1)*(11*x^4-37*x^3+32*x^2-10*x+1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A222868 3.70270 [{a(n+5)-21*a(n+4)+84*a(n+3)-64*a(n+2),a(0)=2,a(1)=7,a(2)=34,a(3)=370,a(4)=5314} ogf] A222868 3.72706 [-(6845080*f(x)+66886621)*(64*f(x)*x^3-48*x^4-84*f(x)*x^2+116*x^3+21*f(x)*x+55*x^2-f(x)-35*x+2) ogf] A222868 6.66486 [(48*x^4-116*x^3-55*x^2+35*x-2)/(x-1)/(4*x-1)/(16*x-1) ogf] A222869 4.709 [-(2581371*f(x)+11144927)*(117*f(x)*x^2-234*x^3-42*f(x)*x+261*x^2+f(x)+92*x-3) ogf] A222869 4.78495 [{a(n+4)-42*a(n+3)+117*a(n+2),a(0)=3,a(1)=34,a(2)=816,a(3)=30528} ogf] A222869 8.59904 [(234*x^3-261*x^2-92*x+3)/(39*x-1)/(3*x-1) ogf] A222890 4.27248 [(x+1)*(309*x^6-1157*x^5+1314*x^4-669*x^3+170*x^2-21*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A222891 3.91992 [(15264*x^6-41380*x^5-13129*x^4+13680*x^3-2278*x^2+125*x-2)/(x-1)/(4*x-1)/(36*x-1)/(9*x-1)/(16*x-1) ogf] A222892 3.45970 [(558558*x^5-495045*x^4-138229*x^3+21972*x^2-599*x+3)/(3*x-1)/(39*x-1)/(155*x-1)/(14*x-1) ogf] A222919 4.82773 [(x+1)*(3*x^6+9*x^5-15*x^3-3*x^2+6*x-1)/(2*x^2+2*x-1)/(x^2+x-1)/(4*x^2+4*x-1) ogf] A222939 4.61936 [{a(n+5)-7*a(n+4)+14*a(n+3)-8*a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=7,a(4)=20} ogf] A222939 5.03303 [-(39*f(x)+79)*(8*f(x)*x^3-3*x^4-14*f(x)*x^2+6*x^3+7*f(x)*x+3*x^2-f(x)-5*x+1) ogf] A222939 8.64650 [(x+1)*(3*x^3-9*x^2+6*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A222940 5.25522 [{a(n+4)-10*a(n+3)+9*a(n+2),a(0)=2,a(1)=7,a(2)=33,a(3)=273} ogf] A222940 5.48776 [(95208*f(x)+440743)*(9*f(x)*x^2-6*x^3-10*f(x)*x+19*x^2+f(x)+13*x-2) ogf] A222940 9.68931 [(6*x^3-19*x^2-13*x+2)/(9*x-1)/(x-1) ogf] A222941 11.4534 [3*(14*x^2+3*x-1)/(14*x-1) ogf] A222941 6.11716 [{-a(n+3)+14*a(n+2),a(0)=3,a(1)=33,a(2)=420} ogf] A222941 6.90142 [(42*f(x)-5)*(14*f(x)*x-42*x^2-f(x)-9*x+3) ogf] A222941 7.47653 [-(196*x^2-28*x+11)/(-196*x^3-28*x^2+17*x-1) lgdogf] A222942 3.42398 [-(14588488128*f(x)+81531919213)*(512*f(x)*x^3-1536*x^4-136*f(x)*x^2+2824*x^3-17*f(x)*x-287*x^2+f(x)-154*x-7) ogf] A222942 3.44473 [{a(n+5)-17*a(n+4)-136*a(n+3)+512*a(n+2),a(0)=7,a(1)=273,a(2)=5880,a(3)=130680,a(4)=2883000} ogf] A222942 6.17805 [(1536*x^4-2824*x^3+287*x^2+154*x+7)/(8*x+1)/(64*x^2-25*x+1) ogf] A222945 10.2592 [-(-2*x^3+6*x^2-3*x+7)/(2*x^4-6*x^3+9*x^2-4*x-1) lgdogf] A222945 13.4547 [(2*x^3-4*x^2+5*x+1)/(x-1)^2 ogf] A222945 7.13686 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=7,a(2)=9,a(3)=13} ogf] A222945 7.89173 [(24*f(x)+481)*(f(x)*x^2-2*x^3-2*f(x)*x+4*x^2+f(x)-5*x-1) ogf] A222947 8.08610 [(2*x^7-2*x^6+2*x^5+2*x^4-4*x^3+x^2+6*x+1)/(x+1)/(x-1)^2 ogf] A222964 11.0268 [-x*(13*x^2+24*x+13)/(x+1)^2/(x-1)^3 ogf] A222964 11.2958 [-(-39*x^3-109*x^2-115*x-37)/(-13*x^4-24*x^3+24*x+13) lgdogf] A222993 3.25556 [{(-6*n-42)*a(n+1)+(11*n+68)*a(n+2)+(-6*n-33)*a(n+3)+(n+5)*a(n+4),a(0)=9,a(1)=50,a(2)=222,a(3)=867} ogf] A222993 6.60782 [-(12*x^4-40*x^3+51*x^2-31*x+9)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A223028 7.56697 [-2*x*(x+1)*(2*x^2-x+3)/(2*x-1)/(2*x^2-1)^2 ogf] A223034 2.55775 [(f(x)*x-f(x)+1)^2 egf] A223056 2.86505 [-(44704114769+10230127690*f(x))*(48*f(x)*x^4-102*f(x)*x^3-16*x^4+71*f(x)*x^2+73*x^3-18*f(x)*x-76*x^2+f(x)+26*x-2) ogf] A223056 5.42530 [(16*x^4-73*x^3+76*x^2-26*x+2)/(2*x-1)/(x-1)/(24*x^2-15*x+1) ogf] A223057 3.78385 [(336*x^6-2238*x^5+295*x^4+2081*x^3-1170*x^2+161*x-5)/(2*x-1)/(x-1)/(504*x^4+162*x^3-357*x^2+52*x-1) ogf] A223069 3.86866 [-(144*x^6-564*x^5+904*x^4-769*x^3+376*x^2-106*x+16)/(4*x-1)/(2*x-1)^2/(3*x-1)^2/(x-1)^2 ogf] A223081 6.82479 [[2] ogf_with_Euler_transform] A223082 7.44802 [(f(x)-9)*(-x^4-2*x^3+f(x)-9) ogf] A223082 7.66622 [-(4*x^3+24*x^2)/(-x^4-8*x^3-216) lgdegf] A223133 8.86541 [(x^7-x^6+x^5+x^4-2*x^3+3*x+1)/(x+1)/(x-1)^2 ogf] A223134 10.3578 [-(x^3-3*x^2+2*x-4)/(-x^4+3*x^3-4*x^2+x+1) lgdogf] A223134 13.5840 [(x^3-2*x^2+2*x+1)/(x-1)^2 ogf] A223134 7.26865 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=4,a(2)=5,a(3)=7} ogf] A223134 8.12379 [(8*f(x)+85)*(f(x)*x^2-x^3-2*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A223173 12.4811 [-(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A223173 6.02157 [{-a(n+3)+9*a(n+2)-26*a(n+1)+24*a(n),a(0)=-1,a(1)=-3,a(2)=-1} ogf] A223173 6.02158 [-(1597*f(x)-936)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x-f(x)+6*x-1) ogf] A223173 7.54351 [-(288*x^3-228*x^2+52*x-3)/(144*x^4-180*x^3+80*x^2-15*x+1) lgdogf] A223181 10.3246 [5*(4*x^2-14*x+5)/(4*x^2-6*x+1) ogf] A223181 5.45449 [{a(n+3)-6*a(n+2)+4*a(n+1),a(0)=25,a(1)=80,a(2)=400} ogf] A223181 5.61336 [-(21*f(x)-205)*(4*f(x)*x^2-6*f(x)*x-20*x^2+f(x)+70*x-25) ogf] A223181 7.22720 [-(32*x^2-32*x+16)/(-16*x^4+80*x^3-108*x^2+44*x-5) lgdogf] A223182 5.12823 [5*(36*x^5-280*x^4+548*x^3-401*x^2+186*x-25)/(x-1)/(4*x^4-20*x^3+16*x^2-9*x+1) ogf] A223197 11.2655 [-16*(4*x-1)/(128*x^2-40*x+1) ogf] A223197 5.63274 [-(1519*f(x)+1940)*(128*f(x)*x^2-40*f(x)*x+f(x)+64*x-16) ogf] A223197 6.40084 [{a(n+2)-40*a(n+1)+128*a(n),a(0)=16,a(1)=576} ogf] A223197 7.61181 [-(-512*x^2+256*x-36)/(-512*x^3+288*x^2-44*x+1) lgdogf] A223198 3.0931 [-(173391*f(x)+1346816)*(24576*f(x)*x^3-3840*f(x)*x^2+144*f(x)*x+16384*x^2-f(x)-2304*x+64) ogf] A223198 3.40242 [{-a(n+3)+144*a(n+2)-3840*a(n+1)+24576*a(n),a(0)=64,a(1)=6912,a(2)=765952} ogf] A223198 5.67069 [-64*(256*x^2-36*x+1)/(24576*x^3-3840*x^2+144*x-1) ogf] A223204 13.7407 [-3*(2*x-3)/(2*x^2-9*x+1) ogf] A223204 6.79486 [-(71*f(x)-14)*(2*f(x)*x^2-9*f(x)*x+f(x)+6*x-9) ogf] A223204 7.44978 [{a(n+2)-9*a(n+1)+2*a(n),a(0)=9,a(1)=75} ogf] A223204 9.09312 [-(-4*x^2+12*x-25)/(-4*x^3+24*x^2-29*x+3) lgdogf] A223205 4.0949 [(1039705*f(x)+3205008)*(32*f(x)*x^3-54*f(x)*x^2+19*f(x)*x+96*x^2-f(x)-138*x+27) ogf] A223205 4.39948 [{-a(n+3)+19*a(n+2)-54*a(n+1)+32*a(n),a(0)=27,a(1)=375,a(2)=5763} ogf] A223205 7.82849 [-3*(32*x^2-46*x+9)/(32*x^3-54*x^2+19*x-1) ogf] A223211 10.5117 [-(-4*x^2-8*x-3)/(-4*x^3-6*x^2-x+1) lgdogf] A223211 14.9499 [-6*(x+1)/(4*x^2+2*x-1) ogf] A223211 7.64483 [(68*f(x)-165)*(4*f(x)*x^2+2*f(x)*x-f(x)+6*x+6) ogf] A223211 8.10537 [{-a(n+2)+2*a(n+1)+4*a(n),a(0)=6,a(1)=18} ogf] A223212 12.6548 [-18*(x+1)/(9*x^2+6*x-1) ogf] A223212 6.39545 [-(10*f(x)-33)*(9*f(x)*x^2+6*f(x)*x-f(x)+18*x+18) ogf] A223212 6.99738 [{-a(n+2)+6*a(n+1)+9*a(n),a(0)=18,a(1)=126} ogf] A223212 9.01177 [-(-9*x^2-18*x-7)/(-9*x^3-15*x^2-5*x+1) lgdogf] A223228 11.1638 [-5*(18*x-5)/(90*x^2-35*x+1) ogf] A223228 5.5819 [-(919*f(x)+1674)*(90*f(x)*x^2-35*f(x)*x+f(x)+90*x-25) ogf] A223228 6.28766 [{a(n+2)-35*a(n+1)+90*a(n),a(0)=25,a(1)=785} ogf] A223228 6.92438 [-(-1620*x^2+900*x-157)/(-1620*x^3+1080*x^2-193*x+5) lgdogf] A223229 3.37866 [(82227190586*f(x)+391138374861)*(351*f(x)*x^3-423*f(x)*x^2+73*f(x)*x+1755*x^2-f(x)-1680*x+125) ogf] A223229 3.85752 [{-a(n+3)+73*a(n+2)-423*a(n+1)+351*a(n),a(0)=125,a(1)=7445,a(2)=492365} ogf] A223229 6.62034 [-5*(351*x^2-336*x+25)/(x-1)/(351*x^2-72*x+1) ogf] A223234 5.21347 [{-a(n+3)+7*a(n+2)+30*a(n+1),a(0)=12,a(1)=65,a(2)=785} ogf] A223234 5.26266 [-(223*f(x)-1831)*(30*f(x)*x^2+7*f(x)*x-30*x^2-f(x)-19*x+12) ogf] A223234 6.48652 [-(-360*x^2+660*x+65)/(-900*x^4-780*x^3+257*x^2+103*x-12) lgdogf] A223234 9.78668 [(30*x^2+19*x-12)/(3*x+1)/(10*x-1) ogf] A223235 4.83939 [(28620*x^4-30768*x^3+4817*x^2+1747*x-144)/(540*x^4-552*x^3+103*x^2+18*x-1) ogf] A223240 14.2750 [-(11*x+7)/(2*x+1)/(3*x-1) ogf] A223240 7.21594 [(539*f(x)-2315)*(6*f(x)*x^2+f(x)*x-f(x)+11*x+7) ogf] A223240 7.91147 [{-a(n+2)+a(n+1)+6*a(n),a(0)=7,a(1)=18} ogf] A223240 9.51670 [-(-66*x^2-84*x-18)/(-66*x^3-53*x^2+4*x+7) lgdogf] A223241 12.0910 [-6*(4*x-3)/(4*x^2-7*x+1) ogf] A223241 6.1105 [-(95*f(x)+24)*(4*f(x)*x^2-7*f(x)*x+f(x)+24*x-18) ogf] A223241 6.68561 [{a(n+2)-7*a(n+1)+4*a(n),a(0)=18,a(1)=102} ogf] A223241 8.11824 [-(-16*x^2+24*x-17)/(-16*x^3+40*x^2-25*x+3) lgdogf] A223242 4.82728 [-6*(310*x^4-166*x^3-601*x^2+87*x+10)/(180*x^5-286*x^4-430*x^3+231*x^2+2*x-1) ogf] A223249 12.9061 [-4*(2*x-3)/(2*x^2-5*x+1) ogf] A223249 6.45306 [-(53*f(x)+40)*(2*f(x)*x^2-5*f(x)*x+f(x)+8*x-12) ogf] A223249 7.06763 [{a(n+2)-5*a(n+1)+2*a(n),a(0)=12,a(1)=52} ogf] A223249 8.73060 [-(-4*x^2+12*x-13)/(-4*x^3+16*x^2-17*x+3) lgdogf] A223250 5.40256 [-4*(78*x^4-46*x^3-175*x^2+43*x+8)/(48*x^5-70*x^4-126*x^3+75*x^2+2*x-1) ogf] A223251 3.44661 [4*(24*x^6-1036*x^5+760*x^4+1158*x^3-363*x^2-131*x+20)/(460*x^6-476*x^5-436*x^4+299*x^3+28*x^2-20*x+1) ogf] A223258 10.9915 [-5*(21*x-5)/(129*x^2-38*x+1) ogf] A223258 5.49575 [-(5132*f(x)+14505)*(129*f(x)*x^2-38*f(x)*x+f(x)+105*x-25) ogf] A223258 6.37007 [{a(n+2)-38*a(n+1)+129*a(n),a(0)=25,a(1)=845} ogf] A223258 7.00708 [-(-2709*x^2+1290*x-169)/(-2709*x^3+1443*x^2-211*x+5) lgdogf] A223265 4.20712 [-(325*f(x)-64)*(1024*f(x)*x^2-112*f(x)*x+f(x)+1024*x-64) ogf] A223265 4.66945 [{a(n+2)-112*a(n+1)+1024*a(n),a(0)=64,a(1)=6144} ogf] A223265 7.86889 [-64*(16*x-1)/(1024*x^2-112*x+1) ogf] A223270 10.2562 [-(-64*x-8)/(-32*x^2-8*x+1) lgdogf] A223270 15.0827 [-6/(32*x^2+8*x-1) ogf] A223270 6.10489 [{-a(n+2)+8*a(n+1)+32*a(n),a(0)=6,a(1)=48} ogf] A223270 6.1049 [(11*f(x)-42)*(32*f(x)*x^2+8*f(x)*x-f(x)+6) ogf] A223271 3.64684 [{-a(n+4)+24*a(n+3)+256*a(n+2)-1024*a(n+1),a(0)=36,a(1)=576,a(2)=20992,a(3)=622592} ogf] A223271 3.67132 [-(580327*f(x)-4285244)*(1024*f(x)*x^3-256*f(x)*x^2-8192*x^3-24*f(x)*x+2048*x^2+f(x)+288*x-36) ogf] A223271 6.51221 [4*(2048*x^3-512*x^2-72*x+9)/(1024*x^3-256*x^2-24*x+1) ogf] A223277 11.5615 [-3*(4*x-3)/(12*x^2-11*x+1) ogf] A223277 5.78074 [-(247*f(x)+300)*(12*f(x)*x^2-11*f(x)*x+f(x)+12*x-9) ogf] A223277 6.52884 [{a(n+2)-11*a(n+1)+12*a(n),a(0)=9,a(1)=87} ogf] A223277 7.92787 [-(-48*x^2+72*x-29)/(-48*x^3+80*x^2-37*x+3) lgdogf] A223278 10.4249 [-27*(4*x-1)/(36*x^2-17*x+1) ogf] A223278 5.31884 [-(149*f(x)+540)*(36*f(x)*x^2-17*f(x)*x+f(x)+108*x-27) ogf] A223278 5.99134 [{a(n+2)-17*a(n+1)+36*a(n),a(0)=27,a(1)=351} ogf] A223278 7.14037 [-(-144*x^2+72*x-13)/(-144*x^3+104*x^2-21*x+1) lgdogf] A223279 3.87137 [-3*(64*x^2-68*x+9)*(56*x^3-76*x^2-54*x+3)/(1536*x^6-4064*x^5+1704*x^4+1268*x^3-518*x^2+45*x-1) ogf] A223283 10.9842 [(78*x^2+45*x-20)/(6*x^2+3*x-1) ogf] A223283 5.85826 [{-a(n+3)+3*a(n+2)+6*a(n+1),a(0)=20,a(1)=15,a(2)=87} ogf] A223283 5.91459 [(6937*f(x)-133115)*(6*f(x)*x^2+3*f(x)*x-78*x^2-f(x)-45*x+20) ogf] A223283 7.41105 [-(-36*x^2+84*x+15)/(-468*x^4-504*x^3+63*x^2+105*x-20) lgdogf] A223284 3.88042 [-(-1713940213+4572109*f(x))*(24*f(x)*x^3-18*f(x)*x^2-9000*x^3-5*f(x)*x+6726*x^2+f(x)+1925*x-400) ogf] A223284 4.12637 [{a(n+4)-5*a(n+3)-18*a(n+2)+24*a(n+1),a(0)=400,a(1)=75,a(2)=849,a(3)=4995} ogf] A223284 7.14566 [(9000*x^3-6726*x^2-1925*x+400)/(24*x^3-18*x^2-5*x+1) ogf] A223285 3.18589 [(9097344*x^6+1517376*x^5-7280536*x^4-444304*x^3+729580*x^2+39625*x-8000)/(1152*x^6+192*x^5-920*x^4-56*x^3+92*x^2+5*x-1) ogf] A223290 14.2321 [-3*(5*x+3)/(8*x^2+x-1) ogf] A223290 7.52505 [(3*f(x)-19)*(8*f(x)*x^2+f(x)*x-f(x)+15*x+9) ogf] A223290 7.88769 [{-a(n+2)+a(n+1)+8*a(n),a(0)=9,a(1)=24} ogf] A223290 9.62762 [-(-40*x^2-48*x-8)/(-40*x^3-29*x^2+2*x+3) lgdogf] A223291 13.3440 [-24*(2*x-1)/(6*x^2-9*x+1) ogf] A223291 6.53297 [-(985*f(x)-4432)*(6*f(x)*x^2-9*f(x)*x+f(x)+48*x-24) ogf] A223291 7.37842 [{a(n+2)-9*a(n+1)+6*a(n),a(0)=24,a(1)=168} ogf] A223291 9.08936 [-(-12*x^2+12*x-7)/(-12*x^3+24*x^2-11*x+1) lgdogf] A223292 4.57567 [-24*(266*x^4-138*x^3-481*x^2+49*x+4)/(448*x^5-750*x^4-1022*x^3+531*x^2+2*x-1) ogf] A223299 10.9859 [-36*(2*x-1)/(12*x^2-11*x+1) ogf] A223299 5.54959 [-(733*f(x)-144)*(12*f(x)*x^2-11*f(x)*x+f(x)+72*x-36) ogf] A223299 6.18747 [{a(n+2)-11*a(n+1)+12*a(n),a(0)=36,a(1)=324} ogf] A223299 7.80159 [-(-24*x^2+24*x-9)/(-24*x^3+34*x^2-13*x+1) lgdogf] A223318 4.01699 [-(30803239*f(x)+1141243650)*(15210*f(x)*x^2-479*f(x)*x+f(x)+24750*x-625) ogf] A223318 4.94724 [{a(n+2)-479*a(n+1)+15210*a(n),a(0)=625,a(1)=274625} ogf] A223318 8.24540 [-125*(198*x-5)/(15210*x^2-479*x+1) ogf] A223322 10.2817 [-13*f(x)*x+f(x)+31*x-12 ogf] A223322 11.4772 [-125/(-403*x^2+187*x-12) lgdogf] A223322 12.3380 [(-12+31*x)/(13*x-1) ogf] A223322 6.49370 [{a(n+2)-13*a(n+1),a(0)=12,a(1)=125} ogf] A223323 4.41840 [{-a(n+4)+38*a(n+3)-129*a(n+2),a(0)=144,a(1)=3125,a(2)=105625,a(3)=3570125} ogf] A223323 4.81678 [-(f(x)-144)*(129*f(x)*x^2+40500*x^3-38*f(x)*x-5451*x^2+f(x)+2347*x-144) ogf] A223323 7.73220 [-(40500*x^3-5451*x^2+2347*x-144)/(129*x^2-38*x+1) ogf] A223328 4.2431 [-(209065*f(x)+360138)*(294*f(x)*x^2-117*f(x)*x+f(x)+216*x-81) ogf] A223328 4.99743 [{a(n+2)-117*a(n+1)+294*a(n),a(0)=81,a(1)=9261} ogf] A223328 8.64940 [-27*(8*x-3)/(294*x^2-117*x+1) ogf] A223329 3.22725 [{a(n+3)-282*a(n+2)+3969*a(n+1)-9604*a(n),a(0)=243,a(1)=64827,a(2)=17324685} ogf] A223329 5.57434 [-27*(294*x^2-137*x+9)/(9604*x^3-3969*x^2+282*x-1) ogf] A223332 4.22490 [{-a(n+4)+18*a(n+3)-27*a(n+2),a(0)=64,a(1)=243,a(2)=3969,a(3)=64827} ogf] A223332 4.62902 [-(f(x)-64)*(27*f(x)*x^2+54*x^3-18*f(x)*x-1323*x^2+f(x)+909*x-64) ogf] A223332 7.60481 [-(54*x^3-1323*x^2+909*x-64)/(27*x^2-18*x+1) ogf] A223333 3.63814 [(121716*x^6-112104*x^5+375051*x^4-489823*x^3+184197*x^2-22389*x+512)/(3*x-1)/(263*x^3-267*x^2+45*x-1) ogf] A223337 10.0624 [-3*(12*x^2-5)/(8*x^3-4*x^2-4*x+1) ogf] A223337 5.11794 [{a(n+3)-4*a(n+2)-4*a(n+1)+8*a(n),a(0)=15,a(1)=60,a(2)=264} ogf] A223337 5.11795 [-(91*f(x)-519)*(8*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+36*x^2+f(x)-15) ogf] A223337 6.12042 [-(-96*x^4+72*x^2-16*x-20)/(-96*x^5+48*x^4+88*x^3-32*x^2-20*x+5) lgdogf] A223338 4.11343 [-12*(2*x^5-41*x^4-5*x^3+50*x^2+14*x-5)/(3*x^6-79*x^5+7*x^4+94*x^3+11*x^2-13*x+1) ogf] A223346 14.1427 [2*(x^2-6*x-3)/(5*x^2-1) ogf] A223346 8.22248 [{-a(n+3)+5*a(n+1),a(0)=6,a(1)=12,a(2)=28} ogf] A223346 8.73003 [(329*f(x)-1164)*(5*f(x)*x^2-2*x^2-f(x)+12*x+6) ogf] A223346 9.30438 [-(30*x^2+28*x+6)/(-5*x^4+30*x^3+16*x^2-6*x-3) lgdogf] A223347 5.78074 [-4*(64*x^5+40*x^4-160*x^3-67*x^2+59*x+7)/(64*x^6-192*x^4+91*x^2-1) ogf] A223348 3.98744 [-4*(4*x-1)*(32*x^4+16*x^3-52*x^2-16*x+15)/(128*x^6-32*x^5-208*x^4+52*x^3+66*x^2-23*x+1) ogf] A223354 4.24072 [-(1519*f(x)+31040)*(18432*f(x)*x^2-480*f(x)*x+f(x)+12288*x-256) ogf] A223354 4.82104 [{a(n+2)-480*a(n+1)+18432*a(n),a(0)=256,a(1)=110592} ogf] A223354 8.03507 [-256*(48*x-1)/(18432*x^2-480*x+1) ogf] A223358 4.38250 [{-a(n+4)+40*a(n+3)-128*a(n+2),a(0)=36,a(1)=1024,a(2)=36864,a(3)=1327104} ogf] A223358 4.86531 [-(f(x)-36)*(128*f(x)*x^2+16384*x^3-40*f(x)*x-512*x^2+f(x)+416*x-36) ogf] A223358 7.86448 [-4*(4096*x^3-128*x^2+104*x-9)/(128*x^2-40*x+1) ogf] A223359 3.13613 [-8*(3623878656*x^6-377487360*x^5+6291456*x^4-761856*x^3+29952*x^2-1840*x+27)/(24576*x^3-3840*x^2+144*x-1) ogf] A223363 5.17569 [-(19*f(x)-99)*(8*f(x)*x^3+4*f(x)*x^2-6*f(x)*x+36*x^2+f(x)+36*x-21) ogf] A223363 5.35416 [{a(n+3)-6*a(n+2)+4*a(n+1)+8*a(n),a(0)=21,a(1)=90,a(2)=420} ogf] A223363 9.70441 [-3*(12*x^2+12*x-7)/(2*x-1)/(4*x^2+4*x-1) ogf] A223372 12.7468 [(4*x^2-24*x-9)/(8*x^2-1) ogf] A223372 7.41091 [{-a(n+3)+8*a(n+1),a(0)=9,a(1)=24,a(2)=68} ogf] A223372 7.67876 [(9809*f(x)-46809)*(8*f(x)*x^2-4*x^2-f(x)+24*x+9) ogf] A223372 7.77241 [-(192*x^2+136*x+24)/(-32*x^4+192*x^3+76*x^2-24*x-9) lgdogf] A223373 12.2163 [-24*(x-1)/(4*x^2-7*x+1) ogf] A223373 6.10814 [-(325*f(x)-24)*(4*f(x)*x^2-7*f(x)*x+f(x)+24*x-24) ogf] A223373 6.75489 [{a(n+2)-7*a(n+1)+4*a(n),a(0)=24,a(1)=144} ogf] A223373 8.83332 [-(-4*x^2+8*x-6)/(-4*x^3+11*x^2-8*x+1) lgdogf] A223374 4.39557 [4*(144*x^6-3168*x^5-1290*x^4+2200*x^3+449*x^2-228*x-17)/(1872*x^6-1718*x^4+221*x^2-1) ogf] A223381 10.4851 [(5*x-2)*(x-1)/(10*x^2-8*x+1) ogf] A223381 5.44416 [{a(n+3)-8*a(n+2)+10*a(n+1),a(0)=2,a(1)=9,a(2)=57} ogf] A223381 5.60588 [-(-56+271*f(x))*(10*f(x)*x^2-8*f(x)*x-5*x^2+f(x)+7*x-2) ogf] A223381 7.16700 [-(-30*x^2+30*x-9)/(50*x^4-110*x^3+81*x^2-23*x+2) lgdogf] A223382 3.35148 [(1378615+3145402*f(x))*(44*f(x)*x^4+34*f(x)*x^3-22*x^4-72*f(x)*x^2+x^3+19*f(x)*x+54*x^2-f(x)-38*x+5) ogf] A223382 5.97438 [(x-1)*(22*x^3+21*x^2-33*x+5)/(44*x^4+34*x^3-72*x^2+19*x-1) ogf] A223395 11.1501 [-8*(3*x^2-2)/(x-1)/(4*x^2+2*x-1) ogf] A223395 5.62271 [-(167*f(x)-852)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+24*x^2+f(x)-16) ogf] A223395 5.67117 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=16,a(1)=48,a(2)=152} ogf] A223395 7.15061 [-(-12*x^4+15*x^2-2*x-6)/(-12*x^5+6*x^4+17*x^3-7*x^2-6*x+2) lgdogf] A223396 3.83504 [(1682705313*f(x)+1854819824)*(2*f(x)*x^4-9*f(x)*x^3-18*f(x)*x^2+16*x^3+10*f(x)*x-56*x^2-f(x)-152*x+48) ogf] A223396 7.39615 [-8*(x+2)*(2*x^2-11*x+3)/(2*x^4-9*x^3-18*x^2+10*x-1) ogf] A223408 6.53835 [-2*(8*x^5+6*x^4-20*x^3-12*x^2+12*x+5)/(x-1)/(x+1)/(2*x^2+2*x-1)/(2*x^2-2*x-1) ogf] A223409 5.98285 [-4*(10*x^4+32*x^3-21*x+6)/(10*x^5+26*x^4-10*x^3-17*x^2+9*x-1) ogf] A223417 13.8769 [(2*x^2-12*x-7)/(2*x-1)/(2*x+1) ogf] A223417 8.06797 [{-a(n+3)+4*a(n+1),a(0)=7,a(1)=12,a(2)=26} ogf] A223417 8.46152 [-(13*f(x)-55)*(4*f(x)*x^2-2*x^2-f(x)+12*x+7) ogf] A223417 8.89545 [-(48*x^2+52*x+12)/(-8*x^4+48*x^3+30*x^2-12*x-7) lgdogf] A223418 5.43150 [-2*(64*x^5+24*x^4-224*x^3-60*x^2+68*x+13)/(32*x^6-120*x^4+38*x^2-1) ogf] A223419 4.34121 [-16*(8*x^5-4*x^4-26*x^3+3*x^2+13*x-3)/(32*x^6-32*x^5-88*x^4+40*x^3+36*x^2-14*x+1) ogf] A223425 6.23292 [(35*x^6-252*x^5-143*x^4+204*x^3+90*x^2-40*x-15)/(7*x^3+7*x^2-1)/(7*x^3-7*x^2+1) ogf] A223434 4.31395 [-(1499*f(x)-10352)*(16*f(x)*x^3+11*f(x)*x^2-8*f(x)*x+144*x^2+f(x)+128*x-48) ogf] A223434 4.63749 [{a(n+3)-8*a(n+2)+11*a(n+1)+16*a(n),a(0)=48,a(1)=256,a(2)=1376} ogf] A223434 8.18381 [-16*(9*x^2+8*x-3)/(16*x^3+11*x^2-8*x+1) ogf] A223442 10.1898 [-(2*x+3)*(12*x^2-6*x-5)/(4*x^4-6*x^2+1) ogf] A223442 6.33419 [(2206*f(x)-8835)*(4*f(x)*x^4-6*f(x)*x^2+24*x^3+24*x^2+f(x)-28*x-15) ogf] A223443 11.6897 [4*(2*x^2-16*x+7)/(4*x-1)/(2*x-1) ogf] A223443 6.00875 [{a(n+3)-6*a(n+2)+8*a(n+1),a(0)=28,a(1)=104,a(2)=408} ogf] A223443 6.42937 [-(3*f(x)+85)*(8*f(x)*x^2-6*f(x)*x-8*x^2+f(x)+64*x-28) ogf] A223443 7.74622 [-(-116*x^2+108*x-26)/(16*x^4-140*x^3+154*x^2-58*x+7) lgdogf] A223468 7.27771 [-(4*x^4+6*x^3+2*x^2+4*x+1)/(2*x-1)/(2*x^2-1)^2 ogf] A223477 10.3493 [-27*(28*x-3)/(300*x^2-51*x+1) ogf] A223477 5.12438 [-(13487*f(x)+79428)*(300*f(x)*x^2-51*f(x)*x+f(x)+756*x-81) ogf] A223477 5.93047 [{a(n+2)-51*a(n+1)+300*a(n),a(0)=81,a(1)=3375} ogf] A223477 6.59765 [-(-8400*x^2+1800*x-125)/(-8400*x^3+2328*x^2-181*x+3) lgdogf] A223478 2.97848 [-(915811*f(x)+257693724)*(10000*f(x)*x^3-1900*f(x)*x^2+101*f(x)*x+54000*x^2-f(x)-7668*x+243) ogf] A223478 3.26962 [{a(n+3)-101*a(n+2)+1900*a(n+1)-10000*a(n),a(0)=243,a(1)=16875,a(2)=1296675} ogf] A223478 5.50454 [-27*(2000*x^2-284*x+9)/(10000*x^3-1900*x^2+101*x-1) ogf] A223481 4.62459 [{-a(n+4)+9*a(n+3)-2*a(n+2),a(0)=400,a(1)=243,a(2)=2025,a(3)=16875} ogf] A223481 4.9834 [-(f(x)-400)*(2*f(x)*x^2+864*x^3-9*f(x)*x-638*x^2+f(x)+3357*x-400) ogf] A223481 8.25820 [-(864*x^3-638*x^2+3357*x-400)/(2*x^2-9*x+1) ogf] A223482 3.59111 [-(691200*x^6-701568*x^5-505088*x^4+548492*x^3+121196*x^2-133813*x+8000)/(2*x+1)/(32*x^3-54*x^2+19*x-1) ogf] A223499 3.80425 [(6277469*f(x)+10273215)*(10*f(x)*x^3-24*f(x)*x^2+15*f(x)*x+10*x^2-f(x)-20*x+9) ogf] A223499 4.08957 [{-a(n+3)+15*a(n+2)-24*a(n+1)+10*a(n),a(0)=9,a(1)=115,a(2)=1519} ogf] A223499 7.43558 [-(10*x^2-20*x+9)/(x-1)/(10*x^2-14*x+1) ogf] A223505 4.11093 [{a(n+4)-5*a(n+3)-4*a(n+2)+4*a(n+1),a(0)=6,a(1)=19,a(2)=115,a(3)=631} ogf] A223505 4.33229 [(233897*f(x)-297780)*(4*f(x)*x^3-4*f(x)*x^2-4*x^3-5*f(x)*x+4*x^2+f(x)+11*x-6) ogf] A223505 8.04567 [(2*x+3)*(x-2)*(2*x-1)/(4*x^3-4*x^2-5*x+1) ogf] A223506 3.47297 [(68*x^7-272*x^6-397*x^5+1774*x^4-1207*x^3-211*x^2+311*x-36)/(4*x^7-16*x^6-23*x^5+103*x^4-73*x^3-4*x^2+12*x-1) ogf] A223552 10.2869 [-9*(2*x-3)/(16*x^2-41*x+1) ogf] A223552 5.14347 [-(4865*f(x)+414)*(16*f(x)*x^2-41*f(x)*x+f(x)+18*x-27) ogf] A223552 5.72795 [{a(n+2)-41*a(n+1)+16*a(n),a(0)=27,a(1)=1089} ogf] A223552 6.90493 [-(-32*x^2+96*x-121)/(-32*x^3+130*x^2-125*x+3) lgdogf] A223553 2.77725 [{-a(n+4)+95*a(n+3)-626*a(n+2)+720*a(n+1),a(0)=81,a(1)=6939,a(2)=609309,a(3)=53599905} ogf] A223553 5.18195 [-9*(116*x^3+90*x^2-84*x+9)/(720*x^3-626*x^2+95*x-1) ogf] A223557 11.0398 [3*(2*x-1)*(x-2)/(4*x^2-7*x+1) ogf] A223557 5.67762 [{a(n+3)-7*a(n+2)+4*a(n+1),a(0)=6,a(1)=27,a(2)=171} ogf] A223557 5.84461 [-(325*f(x)-492)*(4*f(x)*x^2-7*f(x)*x-6*x^2+f(x)+15*x-6) ogf] A223557 7.84408 [-(6*x^2-12*x+9)/(-8*x^4+34*x^3-45*x^2+19*x-2) lgdogf] A223558 4.68034 [-9*(18*x^5-80*x^4+119*x^3-90*x^2+41*x-4)/(x-1)/(10*x^3-31*x^2+16*x-1) ogf] A223564 12.6938 [-7*f(x)*x+f(x)-8*x-8 ogf] A223564 15.4384 [-8*(x+1)/(7*x-1) ogf] A223564 15.8672 [-8/(7*x^2+6*x-1) lgdogf] A223564 7.82495 [{a(n+2)-7*a(n+1),a(0)=8,a(1)=64} ogf] A223565 10.8795 [-16*(20*x^2+5*x+1)/(11*x-1) ogf] A223565 5.97776 [{-a(n+3)+11*a(n+2),a(0)=16,a(1)=256,a(2)=3136} ogf] A223565 6.39973 [-(f(x)-16)*(11*f(x)*x+320*x^2-f(x)+80*x+16) ogf] A223565 7.66163 [-(220*x^2-40*x-16)/(-220*x^3-35*x^2-6*x+1) lgdogf] A223566 4.45597 [{a(n+4)-16*a(n+3),a(0)=32,a(1)=1024,a(2)=21952,a(3)=379456} ogf] A223566 4.62412 [(2190937*f(x)-5818464)*(28224*x^3+16*f(x)*x+5568*x^2-f(x)+512*x+32) ogf] A223566 7.65870 [-32*(882*x^3+174*x^2+16*x+1)/(16*x-1) ogf] A223567 4.20568 [-(480187169*f(x)-3963217752)*(5312384*x^4+793408*x^3+22*f(x)*x+63552*x^2-f(x)+2688*x+64) ogf] A223567 4.23779 [{-a(n+5)+22*a(n+4),a(0)=64,a(1)=4096,a(2)=153664,a(3)=4174016,a(4)=97140736} ogf] A223567 6.85370 [-64*(83006*x^4+12397*x^3+993*x^2+42*x+1)/(22*x-1) ogf] A223568 5.10218 [-64*(30356480*x^5+3480323*x^4+230006*x^3+9383*x^2+198*x+2)/(29*x-1) ogf] A223571 10.3901 [-22*f(x)*x+f(x)-135*x-27 ogf] A223571 12.4174 [-27*(5*x+1)/(22*x-1) ogf] A223571 12.7278 [-27/(110*x^2+17*x-1) lgdogf] A223571 6.69886 [{a(n+2)-22*a(n+1),a(0)=27,a(1)=729} ogf] A223572 10.0186 [-81*(630*x^2+35*x+1)/(46*x-1) ogf] A223572 5.75539 [{-a(n+3)+46*a(n+2),a(0)=81,a(1)=6561,a(2)=352836} ogf] A223572 6.07873 [-(f(x)-81)*(46*f(x)*x+51030*x^2-f(x)+2835*x+81) ogf] A223572 6.84819 [-(28980*x^2-1260*x-81)/(-28980*x^3-980*x^2-11*x+1) lgdogf] A223573 3.66724 [(22021783168*f(x)-823038036129)*(79035264*x^3+86*f(x)*x+2684178*x^2-f(x)+38151*x+243) ogf] A223573 3.88666 [{a(n+4)-86*a(n+3),a(0)=243,a(1)=59049,a(2)=7762392,a(3)=746600976} ogf] A223573 6.22930 [-243*(325248*x^3+11046*x^2+157*x+1)/(86*x-1) ogf] A223574 2.95252 [{-a(n+5)+148*a(n+4),a(0)=729,a(1)=531441,a(2)=170772624,a(3)=34343644896,a(4)=5521860818496} ogf] A223574 4.47443 [-729*(602196672*x^4+12440736*x^3+126364*x^2+581*x+1)/(148*x-1) ogf] A223577 7.90245 [(x^17-x^16+x^5+2*x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A223578 7.58173 [(2*x^17-2*x^16+2*x^5+4*x^4+x^3+x^2+x+2)/(x^2+x+1)/(x-1)^2 ogf] A223580 11.0948 [-50*f(x)*x+f(x)-896*x-64 ogf] A223580 13.2597 [-64*(1+14*x)/(50*x-1) ogf] A223580 13.5912 [-64/(700*x^2+36*x-1) lgdogf] A223580 7.06034 [{a(n+2)-50*a(n+1),a(0)=64,a(1)=4096} ogf] A223581 4.02072 [{-a(n+3)+130*a(n+2),a(0)=256,a(1)=65536,a(2)=10240000} ogf] A223581 4.19001 [-(f(x)-256)*(130*f(x)*x+1720320*x^2-f(x)+32256*x+256) ogf] A223581 6.74663 [-256*(6720*x^2+126*x+1)/(130*x-1) ogf] A223582 3.6243 [(1453546875*f(x)-379804322816)*(21504000000*x^3+296*f(x)*x+201621504*x^2-f(x)+745472*x+1024) ogf] A223582 3.76813 [{a(n+4)-296*a(n+3),a(0)=1024,a(1)=1048576,a(2)=512000000,a(3)=173056000000} ogf] A223582 5.86153 [-1024*(21000000*x^3+196896*x^2+728*x+1)/(296*x-1) ogf] A223594 3.28148 [-16*(192*x^6-64*x^5-458*x^4+167*x^3+227*x^2-113*x+9)/(192*x^7-104*x^6-456*x^5+258*x^4+217*x^3-153*x^2+23*x-1) ogf] A223600 5.05212 [16*(456*x^5-40*x^4-481*x^3+50*x^2+80*x-16)/(2*x+1)/(24*x^4-16*x^3-13*x^2+8*x-1) ogf] A223615 5.68638 [-(x^6-6*x^5+20*x^4-20*x^3+44*x^2+7)/(x-1)^7 ogf] A223616 3.75536 [-(x^8-8*x^7+35*x^6-56*x^5+158*x^4+14*x^3+183*x^2+22*x+11)/(x-1)^9 ogf] A223617 5.32778 [-(x^10-10*x^9+54*x^8-120*x^7+413*x^6+14*x^5+1146*x^4+632*x^3+646*x^2+80*x+16)/(x-1)^11 ogf] A223632 5.65981 [-(x^6-6*x^5+29*x^4-18*x^3+33*x^2+7)/(x-1)^7 ogf] A223633 3.36898 [-(x^10-11*x^9+9*x^8+18*x^7+92*x^6-74*x^5+249*x^4-65*x^3+108*x^2+22*x+11)/(x-1)^9 ogf] A223639 5.58957 [-(3*x^6-10*x^5+40*x^4-16*x^3+22*x^2+7)/(x-1)^7 ogf] A223659 5.56794 [-(x^2-2*x+2)*(x^4-4*x^3+6*x^2-4*x+2)/(x-1)^7 ogf] A223670 5.11386 [(2*x^7-5*x^6+16*x^5-63*x^4+32*x^3-12*x^2-8*x-8)/(x-1)^7 ogf] A223681 5.56560 [-(x^6-4*x^5+27*x^4-30*x^3+36*x^2+8*x+8)/(x-1)^7 ogf] A223682 3.49763 [-(9*x^8-36*x^7+216*x^6-442*x^5+775*x^4-594*x^3+304*x^2+112*x+16)/(x-1)^9 ogf] A223687 4.68214 [-(11179*f(x)+1535952)*(127*f(x)*x^2-24*f(x)*x+f(x)+1152*x-144) ogf] A223687 5.56654 [{a(n+2)-24*a(n+1)+127*a(n),a(0)=144,a(1)=2304} ogf] A223687 6.59196 [-(-1016*x^2+254*x-16)/(-1016*x^3+319*x^2-32*x+1) lgdogf] A223687 9.45262 [-144*(8*x-1)/(127*x^2-24*x+1) ogf] A223688 4.92287 [-144*(1856*x^3-760*x^2+91*x-3)/(16900*x^4-7621*x^3+1103*x^2-59*x+1) ogf] A223693 3.93946 [{-a(n+4)+8*a(n+3)-11*a(n+2)-16*a(n+1),a(0)=256,a(1)=432,a(2)=2304,a(3)=12384} ogf] A223693 4.20016 [(17*f(x)-3200)*(16*f(x)*x^3+11*f(x)*x^2-2800*x^3-8*f(x)*x-1664*x^2+f(x)+1616*x-256) ogf] A223693 6.96611 [16*(175*x^3+104*x^2-101*x+16)/(16*x^3+11*x^2-8*x+1) ogf] A223711 7.10196 [-(2*x^2-3*x+2)^2/(2*x-1)^2/(x-1)^3 ogf] A223711 8.47101 [-(4*x^3-8*x^2+15*x-8)/(4*x^4-12*x^3+15*x^2-9*x+2) lgdogf] A223718 7.78764 [-(-x^4+4*x^3-9*x^2+10*x-9)/(-x^5+5*x^4-11*x^3+13*x^2-9*x+3) lgdogf] A223718 8.11554 [-(x^2-x+1)*(x^2-3*x+3)/(x-1)^5 ogf] A223719 4.16420 [-(x^8-8*x^7+31*x^6-68*x^5+106*x^4-80*x^3+79*x^2+9)/(x-1)^9 ogf] A223764 12.1618 [-(-x^2+2*x-6)/(-x^3+3*x^2-4*x+2) lgdogf] A223764 3.89177 [{(2*n+8)*a(n+4)+(-18-4*n)*a(n+3)+(8+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=4,a(1)=12,a(2)=28,a(3)=56} ogf] A223764 8.19320 [-(x^2-2*x+2)^2/(x-1)^5 ogf] A223765 4.88989 [-(4*x^8-17*x^7+26*x^6-9*x^5-12*x^4+x^3+22*x^2-21*x+7)/(x-1)^7 ogf] A223772 5.54142 [-(2*x^6-7*x^5+14*x^4-23*x^3+29*x^2-21*x+7)/(x-1)^7 ogf] A223773 4.06356 [-(2*x^9-5*x^8-6*x^7+34*x^6-50*x^5+53*x^4-67*x^3+72*x^2-43*x+11)/(x-1)^9 ogf] A223833 10.5334 [(x^3+2*x^2-6*x+7)/(x-1)^4 ogf] A223833 3.93725 [{(-1747*n^2-10457*n-13926)*a(n+1)+(2534*n^2+6150*n-14688)*a(n+2)+(-787*n^2+1427*n+11364)*a(n+3),a(0)=7,a(1)=22,a(2)=48} ogf] A223833 5.51751 [(310016*f(x)-356801)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)+6*x-7) ogf] A223833 9.77198 [-(x^3+7*x^2-14*x+22)/(x^4+x^3-8*x^2+13*x-7) lgdogf] A223834 7.33933 [(2*x^5-x^4-9*x^3+2*x^2+9*x-11)/(x-1)^5 ogf] A223835 5.67854 [(2*x^7+2*x^6-18*x^5+9*x^4+36*x^3-21*x^2-10*x+16)/(x-1)^6 ogf] A223836 4.49973 [(2*x^9+4*x^8-22*x^7-10*x^6+77*x^5-35*x^4-103*x^3+71*x^2+6*x-22)/(x-1)^7 ogf] A223837 3.39777 [(2*x^11+6*x^10-26*x^9-27*x^8+111*x^7+45*x^6-256*x^5+109*x^4+238*x^3-174*x^2+7*x+29)/(x-1)^8 ogf] A223839 5.48840 [-(x^2-2*x+2)*(2*x^4-4*x^3+5*x^2-4*x+2)/(x-1)^7 ogf] A223840 3.74451 [-(x^10-4*x^9+4*x^8-4*x^7+28*x^6-70*x^5+89*x^4-72*x^3+44*x^2-20*x+5)/(x-1)^9 ogf] A223851 4.57947 [-(650217*f(x)+2249680)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2-14*f(x)*x-76*x^2+f(x)+24*x-2) ogf] A223851 9.03999 [2*(38*x^2-12*x+1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A223852 6.66695 [-2*(810*x^3-361*x^2+56*x-3)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A223859 3.31965 [(2*x^9-18*x^8+66*x^7-117*x^6+165*x^5-59*x^4+139*x^3+294*x^2+184*x+50)/(x-1)^10 ogf] A223882 3.31183 [-(144*x^8-672*x^7+1480*x^6-1936*x^5+1617*x^4-890*x^3+321*x^2-72*x+9)/(3*x-1)^2/(x-1)^3/(2*x-1)^4 ogf] A223903 99.9999 Evaluated at exp(-Pi) 1/2000*exp(-Pi)*(5+5^(1/2))^5*5^(1/2) A223905 2.55775 [(f(x)*x-f(x)+1)^2 egf] A223906 10.4221 [-(144*x^2-102*x+17)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A223906 5.49384 [-(1597*f(x)+88416)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+144*x^2-f(x)-102*x+17) ogf] A223906 6.00597 [{-a(n+3)+9*a(n+2)-26*a(n+1)+24*a(n),a(0)=17,a(1)=51,a(2)=161} ogf] A223907 4.39711 [-(650217*f(x)-782556080)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2+2880*x^3-14*f(x)*x-2692*x^2+f(x)+792*x-74) ogf] A223907 8.07729 [-2*(1440*x^3-1346*x^2+396*x-37)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A223908 5.75922 [-2*(43200*x^4-48390*x^3+19239*x^2-3244*x+197)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A223913 5.42366 [(x^6-5*x^5+3*x^4+3*x^3-22*x^2-4*x-22)/(x-1)^7 ogf] A223914 3.38199 [(6*x^9-47*x^8+153*x^7-241*x^6+157*x^5-35*x^4-188*x^3-35*x^2-134*x-46)/(x-1)^9 ogf] A223919 3.83885 [-(x^8-8*x^7+29*x^6-62*x^5+88*x^4-82*x^3+50*x^2-18*x+6)/(x-1)^9 ogf] A223925 5.47896 [-(4*x^5-4*x^4-8*x^3-3*x^2+4*x+1)/(2*x-1)/(2*x+1)/(x+1)^2/(x-1)^2 ogf] A223927 3.85834 [-(x^8-8*x^7+29*x^6-59*x^5+79*x^4-76*x^3+56*x^2-27*x+9)/(x-1)^9 ogf] A223940 4.81271 [-f(x)*(f(x)*x^5-3*f(x)*x^4-3*f(x)*x^3+x^4+4*f(x)*x^2-x^3+f(x)*x-2*x^2-f(x)+x+1) ogf] A223944 7.17739 [-(8*x^4+3*x^3+2*x^2-4)/(8*x^5-5*x^4+x^3+2*x^2-4*x+1) ogf] A223945 3.43495 [-(8*x^9+16*x^8+45*x^7-19*x^6-33*x^5-48*x^4-24*x^3-4*x^2+5)/(8*x^10+8*x^9+29*x^8-61*x^7-4*x^6-2*x^5+7*x^4-2*x^3-5*x^2+5*x-1) ogf] A223950 5.26672 [(11008*f(x)+51013)*(f(x)*x^4-4*f(x)*x^3+3*x^4+6*f(x)*x^2-10*x^3-4*f(x)*x+6*x^2+f(x)+5*x-8) ogf] A223950 8.62845 [-(-2*x^3+18*x^2-27*x+27)/(-3*x^5+13*x^4-16*x^3+x^2+13*x-8) lgdogf] A223950 9.43109 [-(3*x^4-10*x^3+6*x^2+5*x-8)/(x-1)^4 ogf] A223951 6.58009 [-(13*x^6-33*x^5-7*x^4+86*x^3-68*x^2+x+16)/(x-1)^5 ogf] A223952 5.15026 [-(37*x^8-68*x^7-132*x^6+348*x^5-9*x^4-491*x^3+382*x^2-51*x-32)/(x-1)^6 ogf] A223953 3.93436 [-(93*x^10-148*x^9-426*x^8+767*x^7+787*x^6-1862*x^5-335*x^4+2546*x^3-1735*x^2+281*x+64)/(x-1)^7 ogf] A223962 5.05104 [-(x^6-7*x^5+21*x^4-35*x^3+36*x^2-27*x+16)/(x-1)^7 ogf] A223970 4.04006 [-(45*x^6-141*x^5+27*x^4+236*x^3-187*x^2+22)/(3*x-1)/(x-1)/(15*x^5-17*x^4-51*x^3+32*x^2+18*x-1) ogf] A223982 3.30330 [-(x^9-10*x^8+45*x^7-120*x^6+210*x^5-259*x^4+100*x^3-439*x^2-184*x-50)/(x-1)^10 ogf] A224000 7.59615 [-(-x^4+6*x^3-18*x^2+34*x-31)/(-x^5+6*x^4-16*x^3+25*x^2-23*x+9) lgdogf] A224000 7.98770 [-(x^4-5*x^3+11*x^2-14*x+9)/(x-1)^5 ogf] A224001 4.43923 [(x^8-9*x^7+32*x^6-85*x^5+159*x^4-164*x^3+56*x^2+32*x-27)/(x-1)^7 ogf] A224007 6.40492 [-2*(6*x^4-x^3+14*x^2+5)/(12*x^5-14*x^4+30*x^3-16*x^2+10*x-1) ogf] A224008 3.76441 [-(240*x^6+460*x^5+157*x^4+101*x^3+156*x^2+15)/(240*x^7+220*x^6-183*x^5+20*x^4+105*x^3-58*x^2+15*x-1) ogf] A224013 4.87915 [-(6*x^7-43*x^6+129*x^5-199*x^4+176*x^3-77*x^2+27*x+27)/(x-1)^7 ogf] A224019 3.82696 [-4*(36*x^6-13*x^5+85*x^4-11*x^3+49*x^2+5)/(144*x^7-196*x^6+392*x^5-276*x^4+228*x^3-70*x^2+20*x-1) ogf] A224033 8.80110 [-(x-1)*(2*x^3+2*x^2-x-4)/(2*x^5-x^3-3*x^2+4*x-1) ogf] A224034 5.55738 [-(2*x^6+5*x^4-3*x^3-7*x^2-6*x+5)/(4*x^7-2*x^6+2*x^5+2*x^4-x^3-6*x^2+5*x-1) ogf] A224035 4.06803 [(4*x^9+14*x^7-3*x^6-18*x^5-10*x^4+4*x^3+11*x^2+10*x-6)/(2*x-1)/(4*x^8+2*x^6-x^5+3*x^3+2*x^2-4*x+1) ogf] A224039 5.16026 [-(62*f(x)+3277)*(f(x)*x^4-4*f(x)*x^3+x^4+6*f(x)*x^2-4*x^3-4*f(x)*x-x^2+f(x)+11*x-8) ogf] A224039 9.24047 [-(x^4-4*x^3-x^2+11*x-8)/(x-1)^4 ogf] A224039 9.34918 [-(-14*x^2+31*x-21)/(x^5-5*x^4+3*x^3+12*x^2-19*x+8) lgdogf] A224040 6.65812 [-(3*x^6-8*x^5-8*x^4+33*x^3-10*x^2-25*x+16)/(x-1)^5 ogf] A224041 5.26407 [-(7*x^8-17*x^7-9*x^6+12*x^5+124*x^4-220*x^3+86*x^2+48*x-32)/(x-1)^6 ogf] A224042 4.10546 [-(15*x^10-45*x^9+33*x^8-72*x^7+216*x^6+97*x^5-952*x^4+1163*x^3-447*x^2-71*x+64)/(x-1)^7 ogf] A224071 6.51218 [-3*f(x)^2*x^2+3*f(x)^2*x-f(x)^2-5*f(x)*x+3*f(x)-2 ogf] A224080 12.4034 [-I*(x^2-1)^(1/2)*ln(x+1) revegf] A224128 11.5413 [-2*(x^2+2)/(2*x^3-2*x^2+4*x-1) ogf] A224128 5.77067 [{a(n+3)-4*a(n+2)+2*a(n+1)-2*a(n),a(0)=4,a(1)=16,a(2)=58} ogf] A224128 5.82174 [-(31*f(x)+41)*(2*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+4) ogf] A224128 7.47564 [-(-2*x^4-8*x^2+6*x-8)/(-2*x^5+2*x^4-8*x^3+5*x^2-8*x+2) lgdogf] A224129 4.27756 [-(99464097*f(x)-55264556)*(4*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2+4*x^3+5*f(x)*x+6*x^2-f(x)+5) ogf] A224129 8.84810 [-(4*x^3+6*x^2+5)/(4*x^4+2*x^3-5*x^2+5*x-1) ogf] A224130 6.79349 [-(8*x^4+10*x^3+13*x^2+6)/(8*x^5+2*x^4+4*x^3-9*x^2+6*x-1) ogf] A224131 5.64566 [-(16*x^5+20*x^4+19*x^3+24*x^2+7)/(16*x^6+4*x^5+9*x^3-14*x^2+7*x-1) ogf] A224132 4.62578 [-(32*x^6+40*x^5+41*x^4+32*x^3+40*x^2+8)/(32*x^7+8*x^6+2*x^5-4*x^4+18*x^3-20*x^2+8*x-1) ogf] A224134 5.25685 [(-214247+503552*f(x))*(f(x)*x^4-4*f(x)*x^3+x^4+6*f(x)*x^2-4*x^3-4*f(x)*x+2*x^2+f(x)+5*x-8) ogf] A224134 9.58602 [-(x^4-4*x^3+2*x^2+5*x-8)/(x-1)^4 ogf] A224134 9.81701 [-(8*x^2-19*x+27)/(-x^5+5*x^4-6*x^3-3*x^2+13*x-8) lgdogf] A224135 6.67276 [-(6*x^6-22*x^5+15*x^4+29*x^3-37*x^2+x+16)/(x-1)^5 ogf] A224136 5.00090 [-(21*x^8-63*x^7-18*x^6+228*x^5-179*x^4-152*x^3+230*x^2-51*x-32)/(x-1)^6 ogf] A224137 3.87695 [-(60*x^10-154*x^9-172*x^8+696*x^7+160*x^6-1840*x^5+1387*x^4+617*x^3-1067*x^2+281*x+64)/(x-1)^7 ogf] A224141 11.7547 [(3*x^2-6*x+7)/(x-1)^4 ogf] A224141 12.1056 [-(-6*x^2+12*x-22)/(-3*x^3+9*x^2-13*x+7) lgdogf] A224141 3.99544 [{(-7*n-28)*a(n+4)+(61+13*n)*a(n+3)+(-30-9*n)*a(n+2)+(9+3*n)*a(n+1),a(0)=7,a(1)=22,a(2)=49,a(3)=92} ogf] A224141 6.1445 [(280*f(x)-61)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+6*x-7) ogf] A224142 7.33933 [(x^5-x^4-2*x^3-4*x^2+9*x-11)/(x-1)^5 ogf] A224143 5.77454 [(x^7+x^6-10*x^5+8*x^4+11*x^3-x^2-10*x+16)/(x-1)^6 ogf] A224144 4.59911 [(x^9+2*x^8-11*x^7-8*x^6+53*x^5-40*x^4-33*x^3+20*x^2+6*x-22)/(x-1)^7 ogf] A224145 3.52016 [(x^11+3*x^10-12*x^9-21*x^8+71*x^7+28*x^6-199*x^5+152*x^4+68*x^3-63*x^2+7*x+29)/(x-1)^8 ogf] A224147 5.51491 [-(x^6-6*x^5+16*x^4-23*x^3+21*x^2-12*x+4)/(x-1)^7 ogf] A224148 4.19710 [-(x^8-8*x^7+29*x^6-62*x^5+85*x^4-76*x^3+47*x^2-20*x+5)/(x-1)^9 ogf] A224153 5.56159 [-(2*x^8-10*x^4+12*x^3+9*x^2-7)/(2*x^9+2*x^6-14*x^5+4*x^4+x^3+2*x^2-4*x+1) ogf] A224159 4.88989 [-(6*x^8-27*x^7+41*x^6-5*x^5-47*x^4+40*x^3+5*x^2-20*x+8)/(x-1)^7 ogf] A224168 3.27152 [(3*x^9-22*x^8+107*x^7-228*x^6+412*x^5-327*x^4+378*x^3+149*x^2+184*x+50)/(x-1)^10 ogf] A224185 5.34211 [-(x^6-7*x^5+21*x^4-35*x^3+40*x^2+4*x+22)/(x-1)^7 ogf] A224186 3.65022 [-(x^8-9*x^7+36*x^6-84*x^5+127*x^4-91*x^3+250*x^2+134*x+46)/(x-1)^9 ogf] A224216 9.80345 [-(x^4+2*x^3-2*x-1)/(-x^6-x^4-x^2-1) ogf_with_Euler_transform] A224225 12.9576 [-(-4*x^8+2*x^7-2*x^4+2*x^3-4*x^2-2)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A224227 15.1368 [-x^3*(x^2-x+1)/(x^2+x-1)^3 ogf] A224227 16.1879 [-(4*x^3-4*x^2+6*x+2)/(x^4-x^2+2*x-1) lgdogf] A224227 5.71338 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(-n^3-4*n^2-4*n+1)*a(n+2)+(n^3+2*n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A224232 14.5226 [-(x^4-4*x^2-1)/(2*x^6+3*x^5+5*x^4-3*x+1) lgdogf] A224232 15.9959 [(x^3+x^2+x-1)/(2*x^3+x^2+2*x-1) ogf] A224232 8.36152 [{-a(n+4)+2*a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A224232 8.97336 [-(f(x)-1)*(2*f(x)*x^3+f(x)*x^2-x^3+2*f(x)*x-x^2-f(x)-x+1) ogf] A224251 10.1666 [-(15*x^4-5*x^3-5*x^2-5*x-8)/(x-1)/(5*x^4-1) ogf] A224257 5.34211 [(x^6-13*x^5+25*x^4-29*x^3-4*x^2-4*x-22)/(x-1)^7 ogf] A224258 3.19410 [-(2*x^10-12*x^9+61*x^8-255*x^7+534*x^6-416*x^5+29*x^4+467*x^3-180*x^2+134*x+46)/(x-1)^9 ogf] A224274 5.07814 [{(-256*n^3-1920*n^2-4784*n-3960)*a(n+1)+(27*n^3+216*n^2+573*n+504)*a(n+2),a(0)=1,a(1)=7} ogf] A224274 8.50036 [-(27*x^4+27*x^3+9*x^2+x)/(-256*x^4-256*x^3-96*x^2-16*x-1) revogf] A224288 6.96188 [-x^4*(2*x^5+6*x^4-6*x^3+6*x^2-4*x+1)/(2*x-1)^5 ogf] A224288 7.70538 [-(22*x^4+18*x^2-20*x+6)/(4*x^6+10*x^5-18*x^4+18*x^3-14*x^2+6*x-1) lgdogf] A224289 10.1193 [-(-2*x^3+37*x^2-28*x+8)/(-2*x^4+21*x^3-26*x^2+12*x-2) lgdogf] A224289 4.41098 [{(-578*n^2+648*n-70)*a(n+1)+(519*n^2-1503*n-560)*a(n+2)+(-115*n^2+501*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A224289 9.66451 [-x^3*(x^3-10*x^2+8*x-2)/(2*x-1)^4 ogf] A224290 4.48439 [-x^5*(4*x^8-8*x^7+24*x^6-36*x^5+62*x^4-60*x^3+30*x^2-8*x+1)/(2*x-1)^7 ogf] A224292 11.1152 [(x+3)/x/(x^2-6*x+1)^(1/2)-3/x lgdogf] A224292 22.8437 [1/x/(x^2-6*x+1)^(1/2)*(x+3)-3/x lgdogf] A224292 3.30871 [{(14*n^3+61*n^2+66*n)*a(n+1)+(-84*n^3-492*n^2-1014*n-720)*a(n+2)+(14*n^3+103*n^2+114*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A224292 5.9281 [4*f(x)^2*x^3-4*f(x)*x^4+24*f(x)*x^3-29*f(x)*x^2+x^3+10*f(x)*x-f(x) ogf] A224317 12.5906 [-(x^3+3*x+1)/(x-1)/(x^2+x+1) ogf] A224317 6.49412 [{a(n+4)-a(n+1),a(0)=1,a(1)=3,a(2)=0,a(3)=2} ogf] A224317 7.61655 [-(23*f(x)+66)*(f(x)*x^3+x^3-f(x)+3*x+1) ogf] A224317 9.07266 [-(-6*x^3-6*x^2-3)/(-x^6-3*x^4+3*x+1) lgdogf] A224327 3.60179 [{(-3*n^2-21*n-36)*a(n+1)+(4*n^2+24*n+32)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=10,a(2)=51} ogf] A224327 4.59804 [-(1970*f(x)+6181)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2-8*f(x)*x+7*x^2+f(x)-2*x-1) ogf] A224327 7.45198 [-(42*x^3-18*x^2-18*x+10)/(21*x^4-34*x^3+12*x^2+2*x-1) lgdogf] A224327 9.13130 [-(7*x^2-2*x-1)/(3*x-1)^2/(x-1)^2 ogf] A224328 3.50318 [{(-4*n^2-28*n-48)*a(n+1)+(5*n^2+30*n+40)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=14,a(2)=93} ogf] A224328 4.47215 [(18459*f(x)-2986)*(16*f(x)*x^4-40*f(x)*x^3+33*f(x)*x^2-10*f(x)*x+14*x^2+f(x)-4*x-1) ogf] A224328 7.16559 [-(-112*x^3+48*x^2+24*x-14)/(-56*x^4+86*x^3-30*x^2-x+1) lgdogf] A224328 8.52124 [-(14*x^2-4*x-1)/(4*x-1)^2/(x-1)^2 ogf] A224329 3.14469 [{(-5*n^2-35*n-60)*a(n+1)+(6*n^2+36*n+48)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=18,a(2)=147} ogf] A224329 4.0368 [(13894*f(x)-6757)*(25*f(x)*x^4-60*f(x)*x^3+46*f(x)*x^2-12*f(x)*x+23*x^2+f(x)-6*x-1) ogf] A224329 6.61848 [-(-230*x^3+90*x^2+30*x-18)/(-115*x^4+168*x^3-54*x^2+1) lgdogf] A224329 7.69174 [-(23*x^2-6*x-1)/(5*x-1)^2/(x-1)^2 ogf] A224330 3.39296 [{(-6*n^2-42*n-72)*a(n+1)+(7*n^2+42*n+56)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=22,a(2)=213} ogf] A224330 4.23535 [(1360975*f(x)-802729)*(36*f(x)*x^4-84*f(x)*x^3+61*f(x)*x^2-14*f(x)*x+34*x^2+f(x)-8*x-1) ogf] A224330 6.74863 [-(-408*x^3+144*x^2+36*x-22)/(-204*x^4+286*x^3-84*x^2+x+1) lgdogf] A224330 8.29899 [-(34*x^2-8*x-1)/(6*x-1)^2/(x-1)^2 ogf] A224331 3.25352 [{(-7*n^2-49*n-84)*a(n+1)+(8*n^2+48*n+64)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=26,a(2)=291} ogf] A224331 4.03348 [(403390*f(x)-260727)*(49*f(x)*x^4-112*f(x)*x^3+78*f(x)*x^2-16*f(x)*x+47*x^2+f(x)-10*x-1) ogf] A224331 6.40096 [-(-658*x^3+210*x^2+42*x-26)/(-329*x^4+446*x^3-120*x^2+2*x+1) lgdogf] A224331 7.74853 [-(47*x^2-10*x-1)/(7*x-1)^2/(x-1)^2 ogf] A224332 3.39993 [{(-8*n^2-56*n-96)*a(n+1)+(9*n^2+54*n+72)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=30,a(2)=381} ogf] A224332 4.13012 [(11774945*f(x)-8073038)*(64*f(x)*x^4-144*f(x)*x^3+97*f(x)*x^2-18*f(x)*x+62*x^2+f(x)-12*x-1) ogf] A224332 6.68900 [-(-992*x^3+288*x^2+48*x-30)/(-496*x^4+654*x^3-162*x^2+3*x+1) lgdogf] A224332 8.09721 [-(62*x^2-12*x-1)/(8*x-1)^2/(x-1)^2 ogf] A224334 12.2700 [-(-x^2+6*x-17)/(-x^3+5*x^2-11*x+7) lgdogf] A224334 12.8542 [-3*(x^2-4*x+7)/(x-1)^3 ogf] A224334 6.86285 [(113*f(x)-1701)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-12*x+21) ogf] A224334 7.04189 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=51,a(2)=93} ogf] A224335 3.76867 [{(-11*n^2-133*n-222)*a(n+1)+(274*n^2+2564*n+5304)*a(n+2)+(-263*n^2-1675*n-2658)*a(n+3),a(0)=60,a(1)=212,a(2)=508} ogf] A224335 5.12744 [(2103*f(x)+84338)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-20*x^2+f(x)+28*x-60) ogf] A224335 8.86746 [-(-x^3+7*x^2-11*x+53)/(-x^4+6*x^3-12*x^2+22*x-15) lgdogf] A224335 9.42168 [-4*(x^3-5*x^2+7*x-15)/(x-1)^4 ogf] A224336 6.93321 [-(-x^4+8*x^3-30*x^2-56*x-161)/(-x^5+7*x^4-22*x^3+10*x^2-25*x+31) lgdogf] A224336 7.21054 [-5*(x^4-6*x^3+16*x^2+6*x+31)/(x-1)^5 ogf] A224337 5.65455 [-6*(x^5-7*x^4+18*x^3-82*x^2-107*x-63)/(x-1)^6 ogf] A224338 4.57075 [-7*(x^6-8*x^5+29*x^4+64*x^3+659*x^2+568*x+127)/(x-1)^7 ogf] A224354 4.73667 [-(17*x^7-116*x^6+326*x^5-474*x^4+396*x^3-157*x^2+27*x+27)/(x-1)^7 ogf] A224364 9.67345 [-(x^6+x^5+3*x^4+4*x^3+3*x^2+x+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A224365 8.38760 [(51453*x^14-51786*x^13+135*x^5-154*x^4+7*x-10)/(x-1) ogf] A224369 5.61072 [-2*(x^2+x+1)*(6*x^2-12*x+11)/(12*x^5-14*x^4+30*x^3-16*x^2+10*x-1) ogf] A224384 14.8449 [-2*(9*x-1)/(17*x-1)/(x-1) ogf] A224384 7.58036 [-(64*f(x)-47)*(17*f(x)*x^2-18*f(x)*x+f(x)+18*x-2) ogf] A224384 8.38299 [{a(n+2)-18*a(n+1)+17*a(n),a(0)=2,a(1)=18} ogf] A224384 9.89658 [-(-153*x^2+34*x-9)/(-153*x^3+179*x^2-27*x+1) lgdogf] A224404 11.0017 [-(2*x^2+7)/(2*x^3-2*x^2+4*x-1) ogf] A224404 5.45303 [{a(n+3)-4*a(n+2)+2*a(n+1)-2*a(n),a(0)=7,a(1)=28,a(2)=100} ogf] A224404 5.54955 [-(25*f(x)-74)*(2*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+7) ogf] A224404 6.67126 [-(-4*x^4-34*x^2+24*x-28)/(-4*x^5+4*x^4-22*x^3+16*x^2-28*x+7) lgdogf] A224405 3.94306 [-(18162773*f(x)-15218232)*(4*f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2+2*x^3+5*f(x)*x+3*x^2-f(x)+x+11) ogf] A224405 7.88612 [-(2*x^3+3*x^2+x+11)/(4*x^4+2*x^3-5*x^2+5*x-1) ogf] A224406 6.21723 [(x-1)*(7*x^3+24*x^2+21*x+16)/(8*x^5+2*x^4+4*x^3-9*x^2+6*x-1) ogf] A224407 5.18601 [-(14*x^6-29*x^5-109*x^4-83*x^3+4*x^2+15*x+22)/(16*x^6+4*x^5+9*x^3-14*x^2+7*x-1) ogf] A224408 3.86027 [-(168*x^7+116*x^6-288*x^5-436*x^4-236*x^3+12*x^2+35*x+29)/(32*x^7+8*x^6+2*x^5-4*x^4+18*x^3-20*x^2+8*x-1) ogf] A224410 6.02894 [-(4*x^5-11*x^4+4*x^3+16*x^2-20*x+8)/(x-1)^7 ogf] A224411 3.59016 [-(4*x^10-38*x^9+155*x^8-334*x^7+368*x^6-106*x^5-196*x^4+206*x^3-38*x^2-36*x+16)/(x-1)^9 ogf] A224415 11.6853 [-(-10*x^2+15*x+5)/(-x^3+2*x^2+2*x-1) lgdogf] A224415 3.81796 [{(-n-4)*a(n+4)+(11+2*n)*a(n+3)+(19+2*n)*a(n+2)+(-11-n)*a(n+1),a(0)=1,a(1)=5,a(2)=25,a(3)=100} ogf] A224415 9.07326 [1/(x^2-3*x+1)^3/(x+1)^4 ogf] A224419 8.44764 [-x*(x+1)*(x^4+23*x^3+168*x^2+23*x+1)/(x-1)/(x^6-1442*x^3+1) ogf] A224422 9.40776 [-(3*x-1)*(x-1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A224423 5.46146 [-(366912*x^4-794080*x^3+610948*x^2-197564*x+24485)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224424 3.28774 [-(13735424*x^6-40286592*x^5+47779680*x^4-29472552*x^3+10001292*x^2-1824678*x+147859)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224425 3.63902 [(1637270026743223852*f(x)+10600752373045942405023)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2+648*x^3-11*f(x)*x-19332*x^2+f(x)-55053*x-10584) ogf] A224425 7.46958 [-27*(24*x^3-716*x^2-2039*x-392)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A224426 5.30377 [-6*(600*x^4+31342*x^3+295053*x^2+185109*x+11426)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A224427 3.38297 [(1308062824703820945*f(x)+786220411604815598648)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2-32*x^3-11*f(x)*x-4448*x^2+f(x)-5194*x-343) ogf] A224427 7.06666 [(32*x^3+4448*x^2+5194*x+343)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A224428 6.01939 [-8*(4896*x^3+15616*x^2+4874*x+129)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A224429 5.76197 [-3*(20912*x^4-34880*x^3+230*x^2+5745*x+28)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224430 4.24199 [-3*(686912*x^6-847120*x^5+1120160*x^4-674784*x^3+54380*x^2+33809*x+53)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224431 5.65014 [-2*(288*x^4-32*x^3-1414*x^2+983*x+112)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224432 3.86543 [-(9216*x^6-51520*x^5+33184*x^4-56932*x^3-20204*x^2+16595*x+622)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224433 5.64145 [6*(3008*x^4+22296*x^3-2540*x^2-3412*x-29)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224434 3.89215 [3*(42496*x^6-1360960*x^5-391824*x^4+931008*x^3-153456*x^2-35176*x-119)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224435 5.79312 [-24*(9536*x^4-22060*x^3-4221*x^2+5002*x+52)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224436 4.45733 [-2*(3512832*x^6-4263232*x^5+13296352*x^4-7414660*x^3-165878*x^2+531059*x+1861)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224437 5.50146 [-2*(4160*x^4-2112*x^3+1724*x^2-744*x+365)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224438 4.21630 [-(70400*x^6-422016*x^5+217776*x^4-59376*x^3-20496*x^2+9480*x+2083)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224452 5.49098 [-2*(1472*x^4+736*x^3-84*x^2+36*x+99)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224453 4.16833 [-(9728*x^6-202880*x^5+22624*x^4+14440*x^3-12140*x^2+5454*x+477)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224454 13.3527 [9*(x^2+8*x+3)/(x-1)^4 ogf] A224454 14.3643 [-(2*x^2+26*x+20)/(x^3+7*x^2-5*x-3) lgdogf] A224454 4.60215 [{(3*n+12)*a(n+4)+(-5+5*n)*a(n+3)+(-40-7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=27,a(1)=180,a(2)=567,a(3)=1296} ogf] A224454 6.62966 [(161400*f(x)+10030339)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-72*x-27) ogf] A224455 11.0516 [-6*(16*x^2+31*x+7)/(x-1)^5 ogf] A224455 12.9194 [-(48*x^2+156*x+66)/(16*x^3+15*x^2-24*x-7) lgdogf] A224455 4.32679 [{(7*n+28)*a(n+4)+(6+24*n)*a(n+3)+(-186-15*n)*a(n+2)+(-64-16*n)*a(n+1),a(0)=42,a(1)=396,a(2)=1656,a(3)=4740} ogf] A224456 10.3564 [-9*(16*x^3-63*x^2+92*x-51)/(x-1)^4 ogf] A224456 5.64292 [(37623*f(x)+17881697)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+144*x^3-4*f(x)*x-567*x^2+f(x)+828*x-459) ogf] A224456 9.46556 [-(-16*x^3+78*x^2-150*x+112)/(-16*x^4+79*x^3-155*x^2+143*x-51) lgdogf] A224457 5.96128 [-3*(78*x^4-403*x^3+845*x^2-850*x+354)/(x-1)^5 ogf] A224459 5.36011 [(1314*f(x)+234347)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+16*x^3-4*f(x)*x-57*x^2+f(x)+87*x-55) ogf] A224459 8.58770 [-(-16*x^3+66*x^2-147*x+133)/(-16*x^4+73*x^3-144*x^2+142*x-55) lgdogf] A224459 9.85995 [-(16*x^3-57*x^2+87*x-55)/(x-1)^4 ogf] A224460 7.96985 [-(-25*x^4+98*x^3-255*x^2+400*x-263)/(-25*x^5+124*x^4-283*x^3+376*x^2-283*x+91) lgdogf] A224460 8.90748 [-(25*x^4-99*x^3+184*x^2-192*x+91)/(x-1)^5 ogf] A224461 7.13269 [(9800*x^3+3430*x^2-14609*x-1636)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224462 3.90666 [-2*(32480*x^5-267848*x^4-872548*x^3+183400*x^2+91016*x+2575)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224463 5.42537 [(4864*x^4+559488*x^3+244408*x^2-213214*x-11095)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224464 3.55212 [-(54272*x^6+32361728*x^5+55017216*x^4-51514000*x^3+21980*x^2+4207656*x+70159)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224465 5.81453 [-4*(120384*x^4-177552*x^3+99736*x^2-23998*x+2085)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A224466 4.35168 [-2*(6302848*x^6-14317312*x^5+12903624*x^4-6179084*x^3+1659682*x^2-234335*x+13590)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A224482 9.11217 [(15*x^7+13*x^6+12*x^5+11*x^4+6*x^3+5*x^2+3*x-2)/(3*x-1) ogf] A224483 6.19835 [-29*(931*x^16-1766*x^15+841*x^14+211*x^2-416*x+211)/(x-1)^3 ogf] A224500 3.87843 [{(4*n+12)*a(n+1)+(-8*n-27)*a(n+2)+(4*n+16)*a(n+3)-a(n+4),a(0)=1,a(1)=4,a(2)=21,a(3)=184} ogf] A224508 13.0987 [-x*(3*x+1)/(2*x+1)/(x^2+x-1) ogf] A224508 6.60728 [-(47*f(x)+39)*(2*f(x)*x^3+3*f(x)*x^2-f(x)*x+3*x^2-f(x)+x) ogf] A224508 6.72634 [{-a(n+3)-a(n+2)+3*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A224508 9.95499 [-(12*x^3+15*x^2+6*x+2)/(6*x^4+11*x^3-4*x-1) lgdogf] A224509 4.41035 [-(88*f(x)+5)*(f(x)*x^5-15*f(x)*x^4+35*f(x)*x^3-28*f(x)*x^2-6*x^3+9*f(x)*x+11*x^2-f(x)-6*x+1) ogf] A224509 8.12694 [(2*x-1)*(3*x-1)*(x-1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A224514 4.39843 [f(x)*(f(x)*x^5-15*f(x)*x^4+35*f(x)*x^3+3*x^4-28*f(x)*x^2-13*x^3+9*f(x)*x+16*x^2-f(x)-7*x+1) ogf] A224520 11.3261 [x/(2*x-1)/(x-1)/(x^4+1) ogf] A224521 11.3864 [x/(x-1)/(2*x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A224535 13.7160 [-(-15*x+19)/(-2*x^3-9*x^2+26*x-15) lgdogf] A224535 14.9629 [-(2*x^2+11*x-15)/(x-1)^2 ogf] A224535 7.83773 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=15,a(1)=19,a(2)=21} ogf] A224535 8.48416 [(4*f(x)+301)*(f(x)*x^2-2*f(x)*x+2*x^2+f(x)+11*x-15) ogf] A224541 7.17331 [-6*(12*x^3-40*x^2+45*x-15)/(2*x-1)^2/(3*x-1)/(x-1)^3 ogf] A224544 7.77980 [-(11*x^4-22*x^3-4*x^2+32*x-16)/(x^2+x-1)/(x-1)^3 ogf] A224545 6.89407 [(x^5-25*x^4+45*x^3+10*x^2-60*x+28)/(x^2+x-1)/(x-1)^3 ogf] A224546 6.99302 [(3*x^5-47*x^4+78*x^3+21*x^2-106*x+48)/(x^2+x-1)/(x-1)^3 ogf] A224547 6.64267 [(6*x^5-80*x^4+127*x^3+45*x^2-183*x+80)/(x^2+x-1)/(x-1)^3 ogf] A224548 6.61925 [(10*x^5-129*x^4+198*x^3+90*x^2-310*x+132)/(x^2+x-1)/(x-1)^3 ogf] A224549 6.62204 [(15*x^5-202*x^4+303*x^3+172*x^2-519*x+216)/(x^2+x-1)/(x-1)^3 ogf] A224552 6.16189 [(7*x^6-39*x^5+4*x^4+57*x^3-53*x^2+80*x-50)/(x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A224553 5.06878 [(4*x^8+6*x^7-74*x^6+70*x^5+14*x^4+33*x^3-9*x^2-116*x+70)/(x+1)/(x^3+x-1)/(x-1)^3 ogf] A224554 5.34064 [(5*x^7+20*x^6-156*x^5+267*x^4-257*x^3+326*x^2-319*x+113)/(x^3+x-1)/(x-1)^3 ogf] A224555 5.36620 [(4*x^7+55*x^6-283*x^5+449*x^4-450*x^3+566*x^2-514*x+172)/(x^3+x-1)/(x-1)^3 ogf] A224556 5.14342 [(5*x^7+98*x^6-455*x^5+702*x^4-724*x^3+914*x^2-806*x+263)/(x^3+x-1)/(x-1)^3 ogf] A224557 5.03693 [(4*x^7+184*x^6-767*x^5+1159*x^4-1237*x^3+1555*x^2-1321*x+418)/(x^3+x-1)/(x-1)^3 ogf] A224558 5.05051 [(5*x^7+332*x^6-1299*x^5+1928*x^4-2124*x^3+2666*x^2-2184*x+669)/(x^3+x-1)/(x-1)^3 ogf] A224561 4.05649 [(13*x^9+168*x^8-597*x^7+628*x^6-614*x^5+513*x^4+139*x^3-758*x^2+986*x-452)/(x+1)/(x^2-x+1)/(x^3+x-1)/(x-1)^2 ogf] A224563 4.47556 [(40*x^9+167*x^8-753*x^7+387*x^6+855*x^5-1323*x^4+967*x^3+254*x^2-1108*x+512)/(x+1)/(x^4+x-1)/(x-1)^3 ogf] A224564 3.80176 [(28*x^10+314*x^9-1413*x^8+2176*x^7-1880*x^6+242*x^5+2554*x^4-4057*x^3+3734*x^2-2439*x+739)/(x^2+1)/(x^4+x-1)/(x-1)^3 ogf] A224565 4.45960 [(35*x^9+517*x^8-1569*x^7+506*x^6+2015*x^5-2891*x^4+1879*x^3+875*x^2-2359*x+990)/(x+1)/(x^4+x-1)/(x-1)^3 ogf] A224567 4.32781 [(36*x^9+1045*x^8-2921*x^7+833*x^6+3865*x^5-5541*x^4+3529*x^3+1804*x^2-4512*x+1852)/(x+1)/(x^4+x-1)/(x-1)^3 ogf] A224599 5.56360 [(36*x^6-115*x^5-37*x^4+185*x^3-129*x^2+188*x-122)/(x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A224600 4.72256 [(4*x^8+18*x^7-207*x^6+179*x^5+119*x^4+58*x^3-89*x^2-262*x+178)/(x+1)/(x^3+x-1)/(x-1)^3 ogf] A224601 5.07304 [(5*x^7+60*x^6-433*x^5+723*x^4-616*x^3+780*x^2-817*x+297)/(x^3+x-1)/(x-1)^3 ogf] A224602 4.89566 [(4*x^7+128*x^6-688*x^5+1087*x^4-1004*x^3+1271*x^2-1215*x+416)/(x^3+x-1)/(x-1)^3 ogf] A224603 4.90980 [(5*x^7+203*x^6-1037*x^5+1632*x^4-1582*x^3+2030*x^2-1882*x+628)/(x^3+x-1)/(x-1)^3 ogf] A224604 5.01934 [(4*x^7+414*x^6-1851*x^5+2847*x^4-2958*x^3+3780*x^2-3286*x+1045)/(x^3+x-1)/(x-1)^3 ogf] A224605 4.80759 [(5*x^7+796*x^6-3239*x^5+4864*x^4-5307*x^3+6735*x^2-5555*x+1694)/(x^3+x-1)/(x-1)^3 ogf] A224644 3.59718 [-64*(324*x^7-270*x^6-27*x^5-144*x^4+111*x^3+6*x^2+12*x-8)/(3*x-1)/(x-1)/(9*x^3-1)/(3*x^3-1) ogf] A224666 11.1556 [-(-26*x^2+74*x-54)/(-26*x^3+89*x^2-102*x+39) lgdogf] A224666 12.3570 [-2*(26*x^2-63*x+39)/(x-1)^3 ogf] A224666 6.74963 [(186*f(x)+877)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+52*x^2-f(x)-126*x+78) ogf] A224666 6.86500 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=78,a(1)=108,a(2)=142} ogf] A224667 11.1452 [-(-35*x^2+94*x-65)/(-35*x^3+117*x^2-131*x+49) lgdogf] A224667 12.1433 [-4*(35*x^2-82*x+49)/(x-1)^3 ogf] A224667 6.66886 [(89*f(x)+11365)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+140*x^2-f(x)-328*x+196) ogf] A224667 6.89492 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=196,a(1)=260,a(2)=332} ogf] A224668 10.0933 [-(-163*x^2+416*x-271)/(-163*x^3+534*x^2-585*x+214) lgdogf] A224668 11.7504 [-2*(163*x^2-371*x+214)/(x-1)^3 ogf] A224668 6.24823 [(5770*f(x)+2499943)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+326*x^2-f(x)-742*x+428) ogf] A224668 6.67184 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=428,a(1)=542,a(2)=668} ogf] A224669 13.9748 [-(9*x^2-x-12)/(x-1)/(x^2+x-1) ogf] A224669 7.32661 [-(-9*x^4+2*x^3+18*x^2+18*x-25)/(-9*x^5+x^4+30*x^3-11*x^2-23*x+12) lgdogf] A224669 7.39844 [(7841*f(x)+321909)*(f(x)*x^3-2*f(x)*x+9*x^2+f(x)-x-12) ogf] A224669 7.77980 [{a(n+3)-2*a(n+2)+a(n),a(0)=12,a(1)=25,a(2)=41} ogf] A224670 7.53372 [-(21*x^4-44*x^3-x^2+50*x-25)/(x^2+x-1)/(x-1)^3 ogf] A224671 7.05962 [(x^5-41*x^4+77*x^3+9*x^2-88*x+41)/(x^2+x-1)/(x-1)^3 ogf] A224672 6.64267 [(3*x^5-72*x^4+125*x^3+28*x^2-157*x+70)/(x^2+x-1)/(x-1)^3 ogf] A224673 6.64792 [(6*x^5-118*x^4+193*x^3+68*x^2-269*x+115)/(x^2+x-1)/(x-1)^3 ogf] A224674 6.62204 [(10*x^5-187*x^4+292*x^3+143*x^2-456*x+189)/(x^2+x-1)/(x-1)^3 ogf] A224675 6.37741 [(15*x^5-291*x^4+438*x^3+277*x^2-762*x+308)/(x^2+x-1)/(x-1)^3 ogf] A224692 12.7404 [-(x^3-7*x^2-5*x-1)/(x-1)/(x+1)/(2*x^2-1) ogf] A224692 7.7395 [-(20*f(x)+11)*(2*f(x)*x^4-3*f(x)*x^2+x^3-7*x^2+f(x)-5*x-1) ogf] A224721 3.64539 [(4*x^10+115*x^9+1110*x^8-3203*x^7+3158*x^6-3494*x^5+2523*x^4+1090*x^3-3758*x^2+4533*x-2052)/(x+1)/(x^2-x+1)/(x^3+x-1)/(x-1)^2 ogf] A224723 4.02267 [(52*x^9+815*x^8-3457*x^7+1601*x^6+4172*x^5-5445*x^4+4154*x^3+555*x^2-4920*x+2471)/(x+1)/(x^4+x-1)/(x-1)^3 ogf] A224725 3.95488 [(47*x^9+2104*x^8-6522*x^7+2077*x^6+8480*x^5-11361*x^4+7644*x^3+2920*x^2-9648*x+4257)/(x+1)/(x^4+x-1)/(x-1)^3 ogf] A224727 3.92456 [(48*x^9+3637*x^8-11795*x^7+4385*x^6+15216*x^5-21787*x^4+15168*x^3+5641*x^2-18640*x+8117)/(x+1)/(x^4+x-1)/(x-1)^3 ogf] A224738 6.85208 [-(16*x^4-49*x^3+5*x^2+42*x-16)/(x-1)/(2*x-1)/(x+1)/(x^2-3*x+1) ogf] A224739 4.18622 [-(504*x^6-1083*x^5+153*x^4+727*x^3-233*x^2-114*x+38)/(x-1)/(4*x^2+x-1)/(3*x^2-5*x+1)/(3*x^2-1) ogf] A224747 6.02509 [-f(x)^2*x^3-2*f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2+f(x)^2+3*f(x)*x-2*f(x)-2*x+1 ogf] A224749 13.8317 [-x/(6*x^5+6*x^4+6*x^3+6*x^2+3*x-1) ogf] A224749 8.43735 [-(-30*x^4-24*x^3-18*x^2-12*x-3)/(-6*x^5-6*x^4-6*x^3-6*x^2-3*x+1) lgdogf] A224773 5.95005 [-(2*x^24-2*x^23+2*x^18-2*x^17+2*x^14-2*x^13+2*x^9-2*x^8+2*x^4-2*x^3+4*x^2+x-7)/(x-1)^2 ogf] A224779 10.8175 [-(x^6+2*x^4-x^3-x^2-3*x-2)/(x^2+x+1)/(x-1)^2 ogf] A224783 10.3268 [(4*x^5-9*x^3-x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A224785 12.6250 [-(x^3-8*x^2-4*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A224785 7.6694 [-(60*f(x)+29)*(3*f(x)*x^4-4*f(x)*x^2+x^3-8*x^2+f(x)-4*x-1) ogf] A224790 14.0425 [-(75*x-11)/(9*x-1)/(x-1) ogf] A224790 7.02125 [-(152*f(x)-447)*(9*f(x)*x^2-10*f(x)*x+f(x)+75*x-11) ogf] A224790 7.92987 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=11,a(1)=35} ogf] A224790 8.86893 [-(-675*x^2+198*x-35)/(-675*x^3+849*x^2-185*x+11) lgdogf] A224808 7.99924 [-(x^8+x^5-1)/(x^4+x-1)/(x^12+x^8-x^6-x^4-1) ogf] A224809 8.57331 [-(x-1)*(x^2+x+1)/(x^3+x-1)/(x^6-x^4-1) ogf] A224811 6.61413 [-(x^15-x^10-x^7-x^5+1)/(x-1)/(x+1)/(x^2-x+1)/(x^3+x^2-1)/(x^6-x^2-1)/(x^12+x^10+x^8+2*x^6+x^4+1) ogf] A224821 9.08084 [-(-3*x^5-4*x^4-2*x^3-6*x^2-2*x-4)/(x^6-1) ogf_with_Euler_transform] A224822 8.46822 [-(-3*x^5-2*x^4-x^3-6*x^2-x-2)/(x^6-1) ogf_with_Euler_transform] A224823 15.6909 [-(3*x^2-2*x+2)/(-x^3-1) ogf_with_Euler_transform] A224825 13.4524 [-(3*x^2-x+1)/(-x^3-1) ogf_with_Euler_transform] A224829 6.41977 [(x^10+3*x^9+6*x^8+9*x^7+9*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+8)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A224831 9.68005 [-(-3*x^4-x^2-2*x-3)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A224833 10.2879 [-(3*x^3+2*x^2-3*x+5)/(-x^4+x^3-x+1) ogf_with_Euler_transform] A224868 10.5149 [-(4*x^3-2*x^2+3*x-7)/(x-1)/(x^3+x-1) ogf] A224868 5.62255 [-(15*f(x)-131)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+4*x^3-2*f(x)*x-2*x^2+f(x)+3*x-7) ogf] A224869 4.22010 [{(-n^2-7*n-12)*a(n+1)+(n^2+8*n+16)*a(n+2)+(-n-3)*a(n+3),a(0)=-1,a(1)=0,a(2)=3} ogf] A224881 23.7592 [2/(-16*x+1) lgdogf] A224881 6.50017 [{(-n-2)*a(n+2)+(18+16*n)*a(n+1),a(0)=1,a(1)=2} ogf] A224881 61.5486 [2/(-16*x+1) lgdogf] A224882 22.6246 [2/(-32*x+1) lgdogf] A224882 58.5957 [2/(-32*x+1) lgdogf] A224882 6.18975 [{(-n-2)*a(n+2)+(34+32*n)*a(n+1),a(0)=1,a(1)=2} ogf] A224884 13.3671 [x*2^(1/2)/(1+(1+16*x)^(1/2))^(1/2) revogf] A224884 20.5926 [4*x+f(x)-f(x)^3 ogf] A224884 5.56149 [{(-108*n^2-216*n-96)*a(n+1)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=2,a(2)=-6} ogf] A224900 6.20808 [{(-n^3-8*n^2-21*n-18)*a(n+1)+a(n+2),a(0)=1,a(1)=4} ogf] A224916 15.1250 [-(2*x+2)/(x^3-x^2+x-1) ogf_with_Euler_transform] A224916 99.9999 Evaluated at exp(-Pi) 1/4*exp(5/12*Pi)*2^(1/4) A224986 3.65058 [(f(x)*x-f(x)+1)^2 ogf] A224992 5.19743 [{-a(n+4)+20*a(n+3)-108*a(n+2)+144*a(n+1),a(0)=1,a(1)=3,a(2)=18,a(3)=144} ogf] A224992 5.55451 [-(3*f(x)+4)*(144*f(x)*x^3-108*f(x)*x^2-36*x^3+20*f(x)*x+66*x^2-f(x)-17*x+1) ogf] A224992 9.44987 [(36*x^3-66*x^2+17*x-1)/(12*x-1)/(6*x-1)/(2*x-1) ogf] A224993 4.7111 [-2880*f(x)*x^4+2304*f(x)*x^3+576*x^4-508*f(x)*x^2-1200*x^3+40*f(x)*x+380*x^2-f(x)-36*x+1 ogf] A224993 6.46623 [(576*x^4-1200*x^3+380*x^2-36*x+1)/(12*x-1)/(6*x-1)/(20*x-1)/(2*x-1) ogf] A224998 6.47877 [(x^12-x^11+7*x^9-6*x^8+x^7+x^6+x^5+x^3+x^2-6*x+7)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A224999 13.6099 [(5*f(x)+43)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A224999 13.6099 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A224999 21.1710 [-(x^3+3*x^2+6*x+2)/(x^4+x^3-x-1) lgdogf] A224999 24.9887 [(x^2+x+1)/(x+1)/(x-1)^2 ogf] A224999 60.8392 [-x^2+x+2 ogf_with_Euler_transform] A225000 14.0106 [-(95*f(x)-489)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-2*x-2) ogf] A225000 14.7612 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=7} ogf] A225000 20.4106 [-(-x^3-5*x^2-10*x-4)/(-x^4-2*x^3-x^2+2*x+2) lgdogf] A225000 27.1026 [(x^2+2*x+2)/(x+1)/(x-1)^2 ogf] A225001 9.69552 [(4*x^5-3*x^4+x^3+x^2-2*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A225002 11.9156 [(x^3+2*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A225002 4.95286 [{(-7*n-25)*a(n+1)-7*a(n+2)-7*a(n+3)+(7*n+18)*a(n+4),a(0)=1,a(1)=4,a(2)=6,a(3)=8} ogf] A225002 6.68435 [-(7*f(x)+5)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-3*x-1) ogf] A225003 8.58277 [(23*x^6-22*x^5+x^4+2*x^3+x^2-21*x+23)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A225006 4.42889 [-27*f(x)^3*x^3+112*f(x)^3*x^2-124*f(x)^3*x-54*f(x)^2*x^2+16*f(x)^3+116*f(x)^2*x-16*f(x)^2-25*f(x)*x+x ogf] A225007 6.33394 [-(x^5-6*x^4+15*x^3-20*x^2+10*x-16)/(x-1)^6 ogf] A225008 5.31679 [-(x^6-7*x^5+21*x^4-35*x^3+36*x^2-6*x+22)/(x-1)^7 ogf] A225009 4.56179 [-(x^7-8*x^6+28*x^5-56*x^4+70*x^3-63*x^2-7*x-29)/(x-1)^8 ogf] A225011 4.25735 [-(x^4-3*x^3+4*x^2-2*x+1)*(x^4-5*x^3+10*x^2-10*x+5)/(x-1)^9 ogf] A225018 6.26785 [(x^6+12*x^5+64*x^4+93*x^3+88*x^2+27*x+3)/(x+1)^3/(x-1)^4 ogf] A225029 4.97141 [-(48753*f(x)-262)*(f(x)*x^4-74*f(x)*x^3+59*f(x)*x^2+x^3-14*f(x)*x-22*x^2+f(x)+10*x-1) ogf] A225029 9.21528 [-(x^3-22*x^2+10*x-1)/(x^4-74*x^3+59*x^2-14*x+1) ogf] A225030 6.55297 [-(x^4-224*x^3+122*x^2-20*x+1)/(x^5-973*x^4+782*x^3-218*x^2+25*x-1) ogf] A225031 5.65081 [-(x^5-4035*x^4+2233*x^3-433*x^2+35*x-1)/(x^6-21721*x^5+16398*x^4-4701*x^3+638*x^2-41*x+1) ogf] A225032 4.28480 [-(x^6-113540*x^5+60675*x^4-12364*x^3+1203*x^2-56*x+1)/(x^7-727767*x^6+509549*x^5-142915*x^4+20515*x^3-1589*x^2+63*x-1) ogf] A225034 3.95451 [{(3*n^2+3*n)*a(n)+(5*n^2+21*n+16)*a(n+1)+(n^2+11*n+24)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=3,a(2)=7} ogf] A225034 7.72421 [3*f(x)^2*x^2-f(x)^2*x+3*f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1 ogf] A225055 8.63516 [(x+1)*(x^2-x+1)*(4*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A225058 8.36561 [(x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A225107 10.1160 [-(-80*x^2+40*x-8)/(-80*x^3+68*x^2-16*x+1) lgdogf] A225107 14.5418 [-3*(4*x-1)/(10*x-1)/(2*x-1) ogf] A225107 7.34743 [-(281*f(x)-75)*(20*f(x)*x^2-12*f(x)*x+f(x)+12*x-3) ogf] A225107 8.21182 [{a(n+2)-12*a(n+1)+20*a(n),a(0)=3,a(1)=24} ogf] A225108 3.98524 [(x^10-7*x^9-4*x^8+7*x^7+7*x^6+x^5-10*x^4-10*x^3-3*x^2+4)/(26*x^10+5*x^9-28*x^8-16*x^7-9*x^6+22*x^5+10*x^4-3*x^2-8*x+4) egf] A225126 10.0912 [-(-x^4+9*x^2+4*x+4)/(-x^5+5*x^3+x^2-4*x-1) lgdogf] A225126 13.2344 [-x*(x^3-4*x-1)/(x+1)^2/(x-1)^2 ogf] A225126 7.54487 [-(1120*f(x)+2133)*(f(x)*x^4+x^4-2*f(x)*x^2-4*x^2+f(x)-x) ogf] A225144 10.3728 [-x*(3*x+1)*(3*x^2+2*x+3)/(x-1)^3/(x+1)^3 ogf] A225144 7.93217 [-(-27*x^4-36*x^3-82*x^2-36*x-11)/(-9*x^5-9*x^4-2*x^3+6*x^2+11*x+3) lgdogf] A225170 12.6846 [x+1/2-1/2*exp(x) revegf] A225196 12.7959 [-(-x^5-x^4-x^3-x^2-x-1)/(-x+1) ogf_with_Euler_transform] A225197 11.5616 [-(-x^6-x^5-x^4-x^3-x^2-x-1)/(-x+1) ogf_with_Euler_transform] A225209 3.01768 [(1254121940957139*f(x)+8840504803053776)*(512*f(x)*x^4-736*f(x)*x^3+252*f(x)*x^2-512*x^3-29*f(x)*x-1568*x^2+f(x)-220*x-1) ogf] A225209 6.00220 [(512*x^3+1568*x^2+220*x+1)/(x-1)/(4*x-1)/(8*x-1)/(16*x-1) ogf] A225231 7.14532 [(3*x^6-7*x^5+3*x^4+4*x^3-11*x^2+11*x-9)/(x^2+1)/(x-1)^3 ogf] A225232 11.1585 [-(-4*x^3+10*x^2+4*x+2)/(-x^4+2*x^3+2*x^2-2*x-1) lgdogf] A225232 13.9052 [2*(x^2-2*x-1)/(x-1)^3/(x+1)^3 ogf] A225240 4.27591 [(2*x^4+x+1)/(x^4+1)/(x-1)^2 ogf] A225296 6.37773 [-(1344*x^21-1204*x^20-96*x^19+18*x^18-43*x^17+x^15-20*x^14+168*x^2-152*x-24)/(x-1)^2 ogf] A225311 5.81722 [-(x^9-x^8-2*x^7-x^6-4*x^5-5*x^4-8*x^3-7*x^2-5*x-2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A225367 10.9791 [-(6*x^2+12*x+2)/(-9*x^4+6*x^3+12*x^2-2*x-3) lgdogf] A225367 15.3294 [-3*f(x)*x^2+3*x^2+f(x)-2*x-3 ogf] A225367 16.5808 [(3*x^2-2*x-3)/(3*x^2-1) ogf] A225367 9.67211 [{-a(n+3)+3*a(n+1),a(0)=3,a(1)=2,a(2)=6} ogf] A225374 12.1862 [{a(n+1)-111*a(n),a(0)=1} ogf] A225374 15.3036 [-111*f(x)*x+f(x)-1 ogf] A225374 20.5642 [111/(-111*x+1) lgdogf] A225374 28.6111 [-1/(111*x-1) ogf] A225391 16.2991 [1/(x^8-x^6-x^2-x+1) ogf] A225391 9.98320 [-(-8*x^7+6*x^5+2*x+1)/(-x^8+x^6+x^2+x-1) lgdogf] A225393 17.6246 [-1/(x^8-x^6+x^2+x-1) ogf] A225393 9.91386 [-(8*x^7-6*x^5+2*x+1)/(x^8-x^6+x^2+x-1) lgdogf] A225394 16.2612 [-1/(x^9-x^7+x^2+x-1) ogf] A225394 9.95998 [-(-9*x^8+7*x^6-2*x-1)/(-x^9+x^7-x^2-x+1) lgdogf] A225396 17.2671 [-1/(x^12-x^10+x^2+x-1) ogf] A225396 9.54769 [-(12*x^11-10*x^9+2*x+1)/(x^12-x^10+x^2+x-1) lgdogf] A225439 3.87164 [{(-81*n^2-81*n-18)*a(n)+(18*n^2+36*n+18)*a(n+1)+(-n^2-3*n-2)*a(n+2),a(0)=1,a(1)=3,a(2)=21} ogf] A225439 4.23921 [-81*f(x)^3*x^2+18*f(x)^3*x+81*f(x)^2*x^2-f(x)^3-18*f(x)^2*x-27*f(x)*x^2+f(x)^2+3*f(x)*x+3*x^2 ogf] A225482 12.2769 [1/(x^8-x^5-x^4-x^3+1) ogf] A225484 11.4854 [1/(x+1)/(x^8-x^7+x^6-2*x^5+x^4-2*x^3+x^2-x+1) ogf] A225486 4.58315 [-x*(x^12+x^5+x^2+x+2)/(x-1) ogf] A225490 11.3763 [-1/(x-1)/(x^6-x^4-x^3-x^2+1) ogf] A225491 4.58315 [-x*(x^12+x^5+x^2+x+4)/(x-1) ogf] A225499 8.41084 [1/(x^12-x^11+x^10-x^9-x^6-x^3+x^2-x+1) ogf] A225500 10.4532 [1/(x^12-x^11-x^7+x^6-x^5-x+1) ogf] A225501 10.0337 [1/(x^12-x^8-x^7-x^6-x^5-x^4+1) ogf] A225539 12.0515 [(x+5)*(2*x+1)/(x+1)/(x-1)^2 ogf] A225539 6.17518 [-(508*f(x)-5105)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-11*x-5) ogf] A225539 6.55435 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=16,a(2)=23} ogf] A225539 8.79054 [-(-2*x^3-24*x^2-30*x-16)/(-2*x^4-11*x^3-3*x^2+11*x+5) lgdogf] A225543 12.3567 [-(12*x^3-4*x^2+20*x-4)/(-x^4+1) ogf_with_Euler_transform] A225543 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*Pi^3*2^(1/2)/GAMMA(3/4)^12 A225551 4.03376 [(x^8-x^7+x^5-x^4-2*x^3+x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A225553 4.48045 [-x*(x^9-x^8+x^4-x-1)/(x+1)/(x-1)^2 ogf] A225564 13.1561 [-(-8*x^3-2*x^2-2)/(x^4-1) ogf_with_Euler_transform] A225564 99.9999 Evaluated at exp(-Pi) 1/128*exp(5/4*Pi)*Pi^2*2^(1/4)/GAMMA(3/4)^8 A225566 13.6014 [2/(x^2+x+1)^2/(x-1)^4 ogf] A225566 21.1867 [-(-8*x^2-2*x-2)/(-x^3+1) lgdogf] A225566 43.8912 [[2*x^2+2] ogf_with_Euler_transform] A225566 6.67703 [{(-n-4)*a(n+4)+2*a(n+3)+2*a(n+2)+(9+n)*a(n+1),a(0)=2,a(1)=4,a(2)=6,a(3)=12} ogf] A225605 13.0071 [-(3*x^3+2*x^2+x-5)/(x-1)/(x^3+x^2+x-1) ogf] A225605 7.4852 [-(6*f(x)-23)*(f(x)*x^4+3*x^3-2*f(x)*x+2*x^2+f(x)+x-5) ogf] A225658 10.0312 [-(-x^2+4*x-21)/(-x^3+4*x^2-11*x+8) lgdegf] A225658 10.8534 [-(x^2-3*x+8)/(x-1)^3 egf] A225658 5.51714 [(29916*f(x)-163423)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-3*x+8) egf] A225683 9.85827 [-(49*x^18-48*x^17+10*x^16-4*x^15-4*x^14-3*x^12+8*x^2-8*x-1)/(x-1)^2 ogf] A225685 5.59017 [-(5*x^2+1)*(2*x^2+1)*(3*x^2+1)*(4*x^2+1)*(x^2+1)/(120*x^11-120*x^10+548*x^9-274*x^8+675*x^7-225*x^6+340*x^5-85*x^4+75*x^3-15*x^2+6*x-1) ogf] A225690 9.21217 [(2*x^6-2*x^5-3*x^4-x^3-2*x^2+2*x-1)/(x-1)^3 ogf] A225691 7.64504 [(10*x^9-20*x^8+12*x^6+8*x^5+3*x^4-x^3+4*x^2-3*x+1)/(x-1)^4 ogf] A225701 99.9999 Evaluated at exp(-Pi) 1/5*5^(1/2)*(5-5^(1/2)) A225773 4.02198 [(x^5+x^4+2)/(x^4+1)/(x-1)^2 ogf] A225785 7.06170 [-12*x*(x^2+6*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A225786 4.44592 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=48,a(2)=15552} ogf] A225786 4.67991 [(27*f(x)+4)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+48*x^2-f(x)+48*x) ogf] A225786 6.50622 [-(-2*x^3+320*x^2+646*x-324)/(-x^4+322*x^3-322*x+1) lgdogf] A225786 8.46841 [-48*x*(x+1)/(x-1)/(x^2-322*x+1) ogf] A225793 5.32491 [-(x^13+x^12+x^11+x^10-x^9-x^8-x^7-x^6-x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A225799 11.4039 [-109*f(x)*x^2-13*f(x)*x+f(x)-11*x ogf] A225799 13.3045 [-(-218*x-13)/(-109*x^2-13*x+1) lgdogf] A225799 17.5230 [-11*x/(109*x^2+13*x-1) ogf] A225799 8.45227 [{-a(n+2)+13*a(n+1)+109*a(n),a(0)=0,a(1)=11} ogf] A225810 4.73422 [(146544673*f(x)-24592713)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1410*x^2-f(x)-525*x+6) ogf] A225810 5.22267 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=6,a(1)=141,a(2)=10401} ogf] A225810 8.89265 [-3*(470*x^2-175*x+2)/(x-1)/(100*x-1)/(10*x-1) ogf] A225813 4.66707 [-(26031577*f(x)+4150323)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1710*x^2-f(x)-828*x+9) ogf] A225813 5.22267 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=9,a(1)=171,a(2)=10701} ogf] A225813 8.89265 [-9*(190*x^2-92*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A225826 10.8507 [-(9*x^2+x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A225826 5.5143 [-(1116*f(x)-2887)*(16*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+9*x^2+f(x)+x-1) ogf] A225826 5.95350 [{a(n+3)-4*a(n+2)-4*a(n+1)+16*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A225827 4.50133 [-(522620*f(x)-3592331)*(256*f(x)*x^4-96*f(x)*x^3-24*f(x)*x^2+120*x^3+12*f(x)*x-24*x^2-f(x)-6*x+1) ogf] A225827 8.47308 [-(120*x^3-24*x^2-6*x+1)/(8*x-1)/(4*x-1)/(8*x^2-1) ogf] A225828 11.3122 [-(100*x^2+6*x-1)/(4*x-1)/(4*x+1)/(16*x-1) ogf] A225828 6.01524 [(61500*f(x)+134329)*(256*f(x)*x^3-16*f(x)*x^2-16*f(x)*x+100*x^2+f(x)+6*x-1) ogf] A225828 6.42305 [-(-25600*x^4-3072*x^3-736*x^2+168*x-10)/(-25600*x^5+64*x^4+1952*x^3-20*x^2-22*x+1) lgdogf] A225828 6.42305 [{-a(n+3)+16*a(n+2)+16*a(n+1)-256*a(n),a(0)=1,a(1)=10,a(2)=76} ogf] A225829 4.14342 [(16347508380*f(x)-137531453951)*(8192*f(x)*x^4-1280*f(x)*x^3-224*f(x)*x^2+2880*x^3+40*f(x)*x-288*x^2-f(x)-20*x+1) ogf] A225829 7.79143 [-(2880*x^3-288*x^2-20*x+1)/(8*x-1)/(32*x-1)/(32*x^2-1) ogf] A225830 12.3047 [-(1296*x^2+28*x-1)/(8*x-1)/(8*x+1)/(64*x-1) ogf] A225830 6.47617 [(3703644*f(x)+32519129)*(4096*f(x)*x^3-64*f(x)*x^2-64*f(x)*x+1296*x^2+f(x)+28*x-1) ogf] A225830 6.52523 [-(-5308416*x^4-229376*x^3-68864*x^2+2464*x-36)/(-5308416*x^5-31744*x^4+88832*x^3+432*x^2-92*x+1) lgdogf] A225830 7.11843 [{-a(n+3)+64*a(n+2)+64*a(n+1)-4096*a(n),a(0)=1,a(1)=36,a(2)=1072} ogf] A225831 10.0141 [-(78336*x^3-4224*x^2-72*x+1)/(16*x-1)/(128*x-1)/(128*x^2-1) ogf] A225831 5.16353 [-(304829103970748*f(x)-2977895721936287)*(262144*f(x)*x^4-18432*f(x)*x^3-1920*f(x)*x^2+78336*x^3+144*f(x)*x-4224*x^2-f(x)-72*x+1) ogf] A225832 3.70292 [(222662940*f(x)+6447305113)*(65536*f(x)*x^3-256*f(x)*x^2-256*f(x)*x+18496*x^2+f(x)+120*x-1) ogf] A225832 4.17313 [{-a(n+3)+256*a(n+2)+256*a(n+1)-65536*a(n),a(0)=1,a(1)=136,a(2)=16576} ogf] A225832 7.01087 [-(18496*x^2+120*x-1)/(16*x+1)/(256*x-1)/(16*x-1) ogf] A225833 4.54786 [-(2297856*x^3-66048*x^2-272*x+1)/(512*x-1)/(32*x-1)/(512*x^2-1) ogf] A225834 4.23554 [(13627968156*f(x)+1376751340313)*(1048576*f(x)*x^3-1024*f(x)*x^2-1024*f(x)*x+278784*x^2+f(x)+496*x-1) ogf] A225834 4.91452 [{-a(n+3)+1024*a(n+2)+1024*a(n+1)-1048576*a(n),a(0)=1,a(1)=528,a(2)=262912} ogf] A225834 8.04752 [-(278784*x^2+496*x-1)/(32*x+1)/(32*x-1)/(1024*x-1) ogf] A225839 6.61098 [-378*x*(x^2+46*x+1)/(x-1)/(x^2-322*x+1)/(x^2+322*x+1) ogf] A225849 99.9999 Evaluated at exp(-Pi) 1/32*exp(-Pi)*(5-5^(1/2))^2*(5^(1/2)+1)^4 A225853 13.5258 [-(-2*x^2+3*x-2)/(-x^4+1) ogf_with_Euler_transform] A225853 99.9999 Evaluated at exp(-Pi) exp(-1/6*Pi)*2^(7/8) A225869 5.47357 [-(x^16+x^13+3*x^12+x^10+x^9+x^8+x^7+2*x^5+2*x^4+2*x+2)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A225872 12.5462 [-(-12*x^3-4*x^2-4*x-4)/(x^4-1) ogf_with_Euler_transform] A225872 99.9999 Evaluated at exp(-Pi) 1/512*exp(1/2*Pi)*Pi^3*2^(1/2)/GAMMA(3/4)^12 A225875 13.0993 [(x^5+x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A225879 12.6250 [(x-1)*(4*x^2+2*x+1)/(2*x^6+7*x^3-1) ogf] A225883 12.5637 [2*f(x)*x^2+3*f(x)*x+f(x)-x ogf] A225883 15.4429 [-(-4*x-3)/(-2*x^2-3*x-1) lgdogf] A225883 20.0341 [x/(x+1)/(2*x+1) ogf] A225883 9.15136 [{-a(n+2)-3*a(n+1)-2*a(n),a(0)=0,a(1)=1} ogf] A225887 14.3012 [-(x^2+x)/(-6*x^2-5*x-1) revogf] A225887 3.64541 [{(6*n+12)*a(n+1)+(-37*n-128)*a(n+2)+(12*n+51)*a(n+3)+(-n-5)*a(n+4),a(0)=1,a(1)=4,a(2)=18,a(3)=86} ogf] A225887 9.65798 [-6*f(x)^2*x^2+f(x)^2*x-5*f(x)*x+f(x)-1 ogf] A225894 7.40059 [-(-2*x^4+6*x^3-18*x^2+6*x-12)/(-2*x^5+9*x^4-20*x^3+21*x^2-12*x+4) lgdogf] A225894 7.78604 [-(2*x^4-7*x^3+13*x^2-8*x+4)/(x-1)^5 ogf] A225895 3.88126 [-(3*x^8-23*x^7+82*x^6-162*x^5+195*x^4-160*x^3+100*x^2-30*x+7)/(x-1)^9 ogf] A225912 12.3465 [-(-12*x^3-8*x^2-8*x-8)/(x^4-1) ogf_with_Euler_transform] A225912 99.9999 Evaluated at exp(-Pi) 1/128*Pi^3*2^(1/2)/GAMMA(3/4)^12 A225915 12.9410 [-(16*x-16)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A225915 99.9999 Evaluated at exp(-Pi) 1/1024*exp(2*Pi) A225918 4.12910 [(2*x^4+3*x^3+5*x^2+6*x+1)/(x-1)/(x^4+x^3+2*x^2+2*x-1) ogf] A225919 4.77539 [(5*x^3+7*x+1)/(x-1)/(2*x^3-x^2+3*x-1) ogf] A225919 5.75345 [-(959*f(x)-20115)*(2*f(x)*x^4-3*f(x)*x^3+4*f(x)*x^2-5*x^3-4*f(x)*x+f(x)-7*x-1) ogf] A225923 99.9999 Evaluated at exp(-Pi) 3/32*exp(1/2*Pi)*Pi^3*2^(1/2)/GAMMA(3/4)^12 A225928 5.06927 [(31035*f(x)+2460292)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+1232*x^2-f(x)-496*x+29) ogf] A225928 5.44631 [{-a(n+3)+21*a(n+2)-84*a(n+1)+64*a(n),a(0)=29,a(1)=113,a(2)=1169} ogf] A225928 9.41434 [-(1232*x^2-496*x+29)/(x-1)/(4*x-1)/(16*x-1) ogf] A225972 8.26380 [x^2*(2*x^3+x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A225972 9.27382 [-(-6*x^4-8*x^3-28*x^2-16*x-6)/(-2*x^5-x^4-2*x^3+4*x+1) lgdogf] A225975 4.15035 [x*(2*x^14+2*x^13+6*x^12+x^11+10*x^10+6*x^9+14*x^8+4*x^7+14*x^6+6*x^5+10*x^4+x^3+6*x^2+2*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A225976 6.67824 [(x^5+2*x^4-5*x^3+18*x^2-9*x+4)/(x-1)^6 ogf] A225984 9.60406 [-(2*x^3-3*x^2+4*x+5)/(x^5-x^3+x^2-x-1) ogf] A226022 12.6999 [x^3-1+f(x)-f(x)^2*x ogf] A226023 5.90939 [x*(x^5-x^4-2*x^3-3*x^2-x-2)/(x^2+x+1)^2/(x-1)^3 ogf] A226033 7.97205 [x*(x^17+x^14+x^11+x^9+x^6+x^3+1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A226044 6.65242 [-(64*x^7+16*x^6+64*x^5+4*x^4+64*x^3+16*x^2+64*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A226046 9.09163 [x*(x^27-x^22+x^20+x^13+1)/(x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A226076 7.81209 [-(33*x^8+112*x^7+80*x^6+28*x^5+20*x^4+12*x^3+9*x^2+4*x+1)/(4*x^3-1) ogf] A226086 99.9999 Evaluated at exp(-Pi) 27/1024*exp(Pi)*Pi^7/GAMMA(3/4)^28 A226088 6.43776 [-2*x^5+x^3+x^2+2*x+1 ogf_with_Euler_transform] A226089 5.10391 [-(x^8-2*x^7+4*x^6-6*x^5+7*x^4-3*x^3+2*x^2+x+2)/(x-1)^3/(x^2+1)^3 ogf] A226096 5.75905 [-(x+1)*(x^8+2*x^7-2*x^6+7*x^5+7*x^3-2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A226097 8.27953 [-(1681*x^4+82*x^3-3104*x^2-74*x+1447)/(x+1)^2/(x-1)^3 ogf] A226107 6.47174 [x^2*(2*x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A226122 21.1291 [-x^5+3*x^2-2*x+2 ogf_with_Euler_transform] A226122 8.64360 [(x^2-x+1)*(x+1)^3/(x-1)^2/(x^2+x+1)^2 ogf] A226122 9.09262 [-(-x^5-2*x^4+2*x^3-11*x^2+2*x-2)/(-x^6+1) lgdogf] A226132 7.23311 [-(4*x^7+x^6-3*x^5-2*x^4+2*x^3+2*x^2+3*x-1)/(-x^8-x^4-1) ogf_with_Euler_transform] A226132 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi/GAMMA(3/4)^22*GAMMA(11/12)^9*GAMMA(7/12)^9 A226136 7.66478 [-(x+1)*(x^2+1)^2/(x^3+x-1) ogf] A226137 4.02139 [(x^20-5*x^16-x^15-x^14+10*x^12+4*x^11+3*x^10+x^9-8*x^8-6*x^7-5*x^6-3*x^5+x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^12-3*x^8+4*x^4-1) ogf] A226139 99.9999 Evaluated at exp(-Pi) Pi*GAMMA(3/4)^2/GAMMA(11/12)^3/GAMMA(7/12)^3 A226141 7.80251 [x*(x^4+3*x^3+7*x^2+3*x+2)/(x+1)^3/(x-1)^4 ogf] A226141 8.16374 [-(3*x^5+13*x^4+42*x^3+34*x^2+31*x+5)/(x^6+3*x^5+6*x^4-5*x^2-3*x-2) lgdogf] A226179 11.2239 [-(75*x^8-59*x^7-3*x^6-13*x^5+8*x^4-x^3-7*x^2-1)/(x-1)^2 ogf] A226192 6.44251 [-(2*x^7+x^6-2*x^5+x^4+4*x^3+x^2-2*x+1)/(-x^8+1) ogf_with_Euler_transform] A226192 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/8*Pi)*2^(3/4)*GAMMA(5/8)^2*(2+2^(1/2))^(3/2)/Pi^(1/2)/GAMMA(7/8)^2 A226194 8.27143 [-(-2*x^7-x^6-x^4-x^2-1)/(x^8-1) ogf_with_Euler_transform] A226194 99.9999 Evaluated at exp(-Pi) 1/32*exp(5/8*Pi)/Pi^(1/2)*2^(3/4)/GAMMA(7/8)^2*GAMMA(5/8)^2*(2+2^(1/2))*(2-2^(1/2))^(1/2) A226199 10.4103 [(2*x+1)*(3*x-1)/(7*x-1)/(x-1)^2 ogf] A226199 5.29048 [(571572*f(x)+257249)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x-6*x^2-f(x)-x+1) ogf] A226199 5.66174 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=1,a(1)=8,a(2)=51} ogf] A226199 7.59339 [-(42*x^3+56*x^2-34*x+8)/(42*x^4-41*x^3-9*x^2+9*x-1) lgdogf] A226200 11.9351 [(5*x^2+x-1)/(6*x-1)/(x-1)^2 ogf] A226200 6.11551 [(157525*f(x)+67289)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x-5*x^2-f(x)-x+1) ogf] A226200 6.49102 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=1,a(1)=7,a(2)=38} ogf] A226200 8.70560 [-(30*x^3+42*x^2-29*x+7)/(30*x^4-29*x^3-8*x^2+8*x-1) lgdogf] A226201 10.8733 [(7*x^2+x-1)/(8*x-1)/(x-1)^2 ogf] A226201 5.6149 [(187817*f(x)+86719)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x-7*x^2-f(x)-x+1) ogf] A226201 5.95667 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=1,a(1)=9,a(2)=66} ogf] A226201 7.87376 [-(56*x^3+72*x^2-39*x+9)/(56*x^4-55*x^3-10*x^2+10*x-1) lgdogf] A226202 4.59332 [(4313152*f(x)+2021255)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x-8*x^2-f(x)-x+1) ogf] A226202 4.94971 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=1,a(1)=10,a(2)=83} ogf] A226202 6.52461 [-(72*x^3+90*x^2-44*x+10)/(72*x^4-71*x^3-11*x^2+11*x-1) lgdogf] A226202 9.11375 [(8*x^2+x-1)/(9*x-1)/(x-1)^2 ogf] A226203 9.21618 [(x^5+2*x^3+2*x^2-4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A226205 11.6150 [-(x^3-3*x^2+6*x)/(x^4-3*x^3+3*x-1) lgdogf] A226205 12.9478 [(x-1)^2/(x+1)/(x^2-3*x+1) ogf] A226205 6.69336 [-(637*f(x)+92)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)+2*x-1) ogf] A226205 7.11548 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A226233 19.5121 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A226233 39.8555 [x^9+1 ogf_with_Euler_transform] A226235 15.7064 [-(-12*x^4-12)/(x^6-1) ogf_with_Euler_transform] A226251 4.75098 [-(7*x^9+4*x^8+3*x^7+x^6+8*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A226252 37.6281 [-7/(-x-1) ogf_with_Euler_transform] A226252 99.9999 Evaluated at exp(-Pi) 1/32*exp(7/8*Pi)*Pi^(7/4)*2^(5/8)/GAMMA(3/4)^7 A226253 37.9129 [-9/(-x-1) ogf_with_Euler_transform] A226253 99.9999 Evaluated at exp(-Pi) 1/64*exp(9/8*Pi)*Pi^(9/4)*2^(3/8)/GAMMA(3/4)^9 A226254 36.5644 [-10/(-x-1) ogf_with_Euler_transform] A226254 99.9999 Evaluated at exp(-Pi) 1/128*exp(5/4*Pi)*Pi^(5/2)*2^(3/4)/GAMMA(3/4)^10 A226255 36.2129 [-11/(-x-1) ogf_with_Euler_transform] A226255 99.9999 Evaluated at exp(-Pi) 1/128*exp(11/8*Pi)*Pi^(11/4)*2^(1/8)/GAMMA(3/4)^11 A226262 4.52146 [(13651*f(x)+43008)*(4194304*f(x)*x^4-491520*f(x)*x^3+17920*f(x)*x^2-240*f(x)*x+f(x)-42) ogf] A226262 5.57388 [-(16777216*x^3-1474560*x^2+35840*x-240)/(4194304*x^4-491520*x^3+17920*x^2-240*x+1) lgdogf] A226262 9.65030 [42/(16*x-1)/(128*x-1)/(32*x-1)/(64*x-1) ogf] A226264 11.6250 [-(-4*x^2+12*x-7)/(-4*x^3+12*x^2-11*x+3) lgdogf] A226264 16.5718 [-12*(2*x-3)/(2*x-1)/(x-1) ogf] A226264 8.46602 [(127*f(x)+5032)*(2*f(x)*x^2-3*f(x)*x+f(x)+24*x-36) ogf] A226264 9.27232 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=36,a(1)=84} ogf] A226265 11.1173 [-(-4*x^2+12*x-7)/(-4*x^3+12*x^2-11*x+3) lgdogf] A226265 11.1173 [-2*f(x)*x^2+3*f(x)*x-f(x)-336*x+504 ogf] A226265 15.2012 [-168*(2*x-3)/(2*x-1)/(x-1) ogf] A226265 8.56161 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=504,a(1)=1176} ogf] A226268 8.49011 [-840/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A226271 13.6332 [-(2*x^3+2*x^2-2*x-1)/(x-1)/(x^2+x-1) ogf] A226271 7.29498 [{a(n+4)-2*a(n+3)+a(n+1),a(0)=1,a(1)=4,a(2)=6,a(3)=9} ogf] A226271 7.92027 [-(f(x)-1)*(f(x)*x^3+2*x^3-2*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A226271 8.31628 [-(-2*x^4-4*x^3+5*x^2+4*x-4)/(-2*x^6-2*x^5+6*x^4+3*x^3-6*x^2+1) lgdogf] A226274 5.58432 [(f(x)+2)*(f(x)*x^4-4*f(x)*x^3+x^4+7*f(x)*x^2-4*x^3-5*f(x)*x+7*x^2+f(x)-4*x-1) ogf] A226274 9.52618 [-(x^4-4*x^3+7*x^2-4*x-1)/(x-1)/(x^3-3*x^2+4*x-1) ogf] A226275 11.8832 [(x^5+x^3-x^2-x-1)/(x^3+x-1) ogf] A226275 7.59206 [-(-2*x^7-4*x^5+4*x^4-4*x^3+x^2-2*x-2)/(x^8+2*x^6-2*x^5-3*x^3+1) lgdogf] A226276 13.2925 [-4*(x^3+x^2+x+2)/(x-1)/(x+1)/(x^2+1) ogf] A226276 9.12855 [(f(x)-4)*(f(x)*x^4+4*x^3+4*x^2-f(x)+4*x+8) ogf] A226279 9.74203 [x*(3*x^3-x^2+x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A226289 4.60669 [-(-2*x^9+x^8-x^5-3*x^3+2*x^2-1)/(x^10-x^9+x^7-x^6+x^4-x^3+x-1) ogf_with_Euler_transform] A226289 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/24*Pi)*2^(1/8)*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)^7*GAMMA(11/12)^2*GAMMA(7/12)^3*(1+3^(1/2)) A226292 10.3838 [-(-2*x^3-8*x^2-14*x-6)/(-x^4-2*x^3-x^2+2*x+2) lgdogf] A226292 13.7883 [-(x^2+2*x+2)/(x+1)/(x-1)^3 ogf] A226292 7.12784 [(3175*f(x)-17497)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+x^2-f(x)+2*x+2) ogf] A226293 8.86149 [(6*x^6-x^5-x^4-x^3-x^2-x+6)/(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A226294 11.2924 [(39*f(x)-202)*(f(x)*x^2-f(x)+4*x+6) ogf] A226294 12.3510 [-(2*x^2+6*x+2)/(2*x^3+3*x^2-2*x-3) lgdogf] A226294 12.3510 [{-a(n+2)+a(n),a(0)=6,a(1)=4} ogf] A226294 19.2797 [-2*(2*x+3)/(x-1)/(x+1) ogf] A226302 7.84376 [-(-8*x^4-12*x^3+2*x^2+2*x-1)/(-8*x^5-8*x^4+6*x^3+6*x^2-x-1) lgdogf] A226308 13.8134 [-(2*x^2-x+2)/(2*x-1)/(x^2+x+1) ogf] A226308 7.08082 [-(111*f(x)-262)*(2*f(x)*x^3+f(x)*x^2+f(x)*x+2*x^2-f(x)-x+2) ogf] A226308 7.52338 [{a(n+3)-a(n+2)-a(n+1)-2*a(n),a(0)=2,a(1)=1,a(2)=5} ogf] A226308 9.57520 [-(4*x^4-4*x^3+9*x^2+8*x+1)/(4*x^5+5*x^3-x^2+3*x-2) lgdogf] A226309 13.0386 [-(2*x^3+2*x^2-x+2)/(2*x-1)/(x+1)/(x^2+1) ogf] A226309 7.22283 [(69*f(x)-50)*(2*f(x)*x^4+f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x+2*x^2-f(x)-x+2) ogf] A226309 7.78271 [-(-4*x^6-8*x^5+6*x^4-10*x^3-9*x^2-8*x-1)/(-4*x^7-6*x^6-2*x^5-7*x^4-x^3+x^2-3*x+2) lgdogf] A226310 12.0686 [x*(2*x^3+x^2-1)/(2*x-1)/(x^4+x^3+x^2+x+1) ogf] A226311 10.8345 [-(2*x^4+2*x^3+2*x^2-x+2)/(2*x-1)/(x^4+x^3+x^2+x+1) ogf] A226315 13.0996 [-x^2*(8*x-5)/(x-1)/(2*x-1)^3 ogf] A226315 13.2867 [-(-48*x^2+72*x-27)/(-16*x^3+34*x^2-23*x+5) lgdogf] A226315 5.22512 [{(2*n^2+26*n+44)*a(n+1)+(-3*n^2-37*n-54)*a(n+2)+(n^2+11*n+10)*a(n+3),a(0)=0,a(1)=0,a(2)=5} ogf] A226315 6.69116 [-(234*f(x)-125)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+8*x^3-7*f(x)*x-5*x^2+f(x)) ogf] A226316 7.91687 [4*f(x)^2*x^2-4*f(x)^2*x-4*f(x)*x^2+4*f(x)*x+x^2+f(x)-x-1 ogf] A226322 6.92496 [-(x^6+2*x^2-1)/(2*x^12+4*x^10+2*x^9+3*x^8+x^6-4*x^4-6*x^3-5*x^2+1) ogf] A226328 9.41749 [(2*x^4+3*x^2-3*x+1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A226348 5.36415 [-(6*x^5+5*x^4-24*x^3+10*x+1)/(x-1)/(6*x^5+11*x^4-15*x^3-16*x^2-x+1) ogf] A226350 4.28431 [-(2*x^11-x^10+x^9+x^7-x^6+x^5-x^4+x^3+x-1)/(-x^12+1) ogf_with_Euler_transform] A226351 6.05949 [-(2*x^4+x^3-5*x^2-x+1)/(x^2-x-1)/(6*x^4+7*x^3-13*x^2-5*x+1) ogf] A226369 13.0885 [-(-12*x^5-5*x^4)/(-2*x^6-x^5+1) lgdogf] A226369 21.5783 [-1/(x+1)/(2*x^5-x^4+x^3-x^2+x-1) ogf] A226370 16.2184 [-1/(x^6+2*x^4+x^3+x^2-1) ogf] A226370 9.03073 [-(6*x^5+8*x^3+3*x^2+2*x)/(x^6+2*x^4+x^3+x^2-1) lgdogf] A226371 4.98078 [-(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^6+x^3-1)/(x^19-x^18-x^16-x^15-2*x^13-7*x^12+x^10-8*x^9+x^7+9*x^6+x^3-1) ogf] A226379 4.99043 [x*(x^9-x^8+3*x^7+12*x^6-17*x^5-3*x^4-x^3-5*x^2-12*x+15)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A226405 10.2122 [-(6*x^3-3*x^2+4*x-4)/(x^4-x^3+x^2-2*x+1) lgdogf] A226405 12.5688 [x/(x^3+x-1)/(x-1)^3 ogf] A226416 4.11828 [-(x^12-x^11-x^10-5*x^8+8*x^7-8*x^6+19*x^5-10*x^4+21*x^3-2*x^2+7*x+2)/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A226430 7.91120 [(3*x^6+8*x^5-x^4-12*x^3+5*x^2+2*x-1)/(2*x-1)/(x^2+x-1)^2 ogf] A226431 6.91029 [-(x^5-9*x^4+22*x^3-19*x^2+7*x-1)/(2*x-1)/(x-1)/(x^2-3*x+1)^2 ogf] A226432 5.66421 [-(83*f(x)-97)*(f(x)*x^4-x^5+2*f(x)*x^3-4*x^4-f(x)*x^2-2*x^3-2*f(x)*x+5*x^2+f(x)-1) ogf] A226432 9.86464 [(x^5+4*x^4+2*x^3-5*x^2+1)/(x^2+x-1)^2 ogf] A226433 8.24002 [-(x^5-8*x^3+10*x^2-5*x+1)/(2*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A226447 13.5131 [-(x^3-x+1)/(x^2-x+1)/(x^2-x-1) ogf] A226447 7.08348 [{a(n+4)-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-2} ogf] A226447 7.84243 [-(-x^6+4*x^4-8*x^3+4*x^2-2*x+1)/(-x^7+2*x^6-3*x^4+4*x^3-x^2-x+1) lgdogf] A226447 7.91308 [(5*f(x)-3)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+x^3-f(x)-x+1) ogf] A226449 11.2933 [x*(9*x^2+5*x+1)/(x-1)^4 ogf] A226449 12.4911 [-(-18*x^2-33*x-9)/(-9*x^3+4*x^2+4*x+1) lgdogf] A226449 4.16370 [{(n+3)*a(n+4)+(-1+4*n)*a(n+3)+(-29+4*n)*a(n+2)+(-18-9*n)*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=39} ogf] A226449 5.64666 [(6557625*f(x)+20341007)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-5*x^2+f(x)-x) ogf] A226450 10.9171 [x*(11*x^2+6*x+1)/(x-1)^4 ogf] A226450 11.8804 [-(-22*x^2-40*x-10)/(-11*x^3+5*x^2+5*x+1) lgdogf] A226450 4.20763 [{(-3-n)*a(n+4)-5*n*a(n+3)+(35-5*n)*a(n+2)+(22+11*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=45} ogf] A226450 5.3149 [-(16650360*f(x)+62613437)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-11*x^3-4*f(x)*x-6*x^2+f(x)-x) ogf] A226451 10.5946 [x*(13*x^2+7*x+1)/(x-1)^4 ogf] A226451 11.5294 [-(-26*x^2-47*x-11)/(-13*x^3+6*x^2+6*x+1) lgdogf] A226451 3.92001 [{(-3-n)*a(n+4)+(-1-6*n)*a(n+3)+(41-6*n)*a(n+2)+(26+13*n)*a(n+1),a(0)=0,a(1)=1,a(2)=11,a(3)=51} ogf] A226451 5.19207 [-(4063521*f(x)+17959195)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-13*x^3-4*f(x)*x-7*x^2+f(x)-x) ogf] A226454 2.69292 [-(2*f(x)*x-f(x)+1)^3 ogf] A226488 14.3904 [-x*(11*x+2)/(x-1)^3 ogf] A226488 16.3656 [-(-22*x-17)/(-11*x^2+9*x+2) lgdogf] A226488 7.19521 [(15041*f(x)-62685)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)+2*x) ogf] A226488 7.45218 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=17} ogf] A226489 14.1765 [-x*(13*x+2)/(x-1)^3 ogf] A226489 15.8123 [-(-26*x-19)/(-13*x^2+11*x+2) lgdogf] A226489 6.96813 [(181575*f(x)-876197)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+2*x) ogf] A226489 7.34142 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=19} ogf] A226490 14.0928 [-x*(17*x+2)/(x-1)^3 ogf] A226490 15.7189 [-(-34*x-23)/(-17*x^2+15*x+2) lgdogf] A226490 6.86878 [(450167*f(x)-2767401)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)+2*x) ogf] A226490 7.29808 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=23} ogf] A226491 14.1581 [-x*(19*x+2)/(x-1)^3 ogf] A226491 15.7917 [-(-38*x-25)/(-19*x^2+17*x+2) lgdogf] A226491 6.90058 [(662823*f(x)-4514003)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19*x^2-f(x)+2*x) ogf] A226491 7.33187 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=25} ogf] A226492 14.3742 [-x*(8*x+3)/(x-1)^3 ogf] A226492 16.3866 [-(-16*x-17)/(-8*x^2+5*x+3) lgdogf] A226492 7.06318 [(31581*f(x)-110677)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+3*x) ogf] A226492 7.31544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=17} ogf] A226493 13.2177 [-3*f(x)*x^2-2*f(x)*x+f(x)-12*x ogf] A226493 16.5222 [-(-6*x-2)/(-3*x^2-2*x+1) lgdogf] A226493 20.8701 [-12*x/(x+1)/(3*x-1) ogf] A226493 9.67151 [{-a(n+2)+2*a(n+1)+3*a(n),a(0)=0,a(1)=12} ogf] A226500 11.4663 [-3*x*(x+1)/(x-1)/(x^2-98*x+1) ogf] A226500 5.88271 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=300} ogf] A226500 6.0947 [(100*f(x)+3)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+3*x^2-f(x)+3*x) ogf] A226500 8.56344 [-(-2*x^3+96*x^2+198*x-100)/(-x^4+98*x^3-98*x+1) lgdogf] A226503 11.9526 [f(x)*x^5+f(x)*x^3+x^2-f(x)+x+1 ogf] A226503 14.8883 [-(x^2+x+1)/(x^5+x^3-1) ogf] A226508 11.5615 [-3*(x-1)/(9*x-1)/(3*x-1) ogf] A226508 6.39282 [{-a(n+2)+12*a(n+1)-27*a(n),a(0)=3,a(1)=33} ogf] A226508 7.6408 [(26*f(x)+43)*(27*f(x)*x^2-12*f(x)*x+f(x)+3*x-3) ogf] A226508 7.76271 [-(-27*x^2+54*x-11)/(-27*x^3+39*x^2-13*x+1) lgdogf] A226509 8.41933 [(4*x^4-5*x^3+3*x^2+3*x-3)/(x+1)/(x^3+x-1)/(x-1)^2 ogf] A226511 13.5729 [-15*f(x)*x^2+8*f(x)*x-f(x)+3*x ogf] A226511 16.2875 [-(30*x-8)/(15*x^2-8*x+1) lgdogf] A226511 21.4310 [3*x/(5*x-1)/(3*x-1) ogf] A226511 9.93143 [{a(n+2)-8*a(n+1)+15*a(n),a(0)=0,a(1)=3} ogf] A226514 14.6553 [(x^2-8*x+13)/(x-1)^4 ogf] A226514 15.0863 [-(2*x^2-22*x+44)/(x^3-9*x^2+21*x-13) lgdogf] A226514 4.95589 [{(13*n+52)*a(n+4)+(-107-21*n)*a(n+3)+(40+9*n)*a(n+2)+(-3-n)*a(n+1),a(0)=13,a(1)=44,a(2)=99,a(3)=184} ogf] A226514 7.48809 [(2157*f(x)+41344)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)+8*x-13) ogf] A226516 13.4316 [-x^6*(x+1)*(x^5-x+1)/(x^4-x^2+1)/(x^6+x^4-1) ogf] A226517 13.5007 [-x^6*(x+1)*(x^4-x+1)/(x^8+x^2-1) ogf] A226535 4.20534 [-(-2*x^11+3*x^10-6*x^9+2*x^8-3*x^7+3*x^6-4*x^5+3*x^4-3*x^3+2*x^2-6*x+3)/(x^12-1) ogf_with_Euler_transform] A226535 99.9999 Evaluated at exp(-Pi) Pi^(2/3)*3^(1/3)/GAMMA(2/3)^(1/3)/GAMMA(3/4)^(7/3)/(2^(1/2)*(1+3^(1/2)))^(1/3)*GAMMA(11/12)^(1/3) A226538 14.6797 [(x^3+x+1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A226546 7.46930 [-(4*x^4+34*x^3+54*x^2+32*x+12)/(x^5+8*x^4+16*x^3+11*x^2-3*x-3) lgdogf] A226546 8.56033 [x*(x^2+6*x+3)/(x^3+2*x^2+x-1)^2 ogf] A226547 5.18545 [x*(x^5+6*x^4-8*x^3-10*x^2+9*x+4)/(x+1)^2/(x^4-3*x+1)^2 ogf] A226559 9.61726 [-(-x^4-x^3+x+1)/(x^6+x^4+x^2+1) ogf_with_Euler_transform] A226576 14.2837 [-x*(2*x^2-3)/(x^2+x+1)/(x-1)^2 ogf] A226576 4.99492 [{(-n-8)*a(n+1)-a(n+2)-a(n+3)+(n+7)*a(n+4),a(0)=0,a(1)=3,a(2)=3,a(3)=1} ogf] A226576 6.89976 [-(1798*f(x)+12739)*(f(x)*x^4-f(x)*x^3+2*x^3-f(x)*x+f(x)-3*x) ogf] A226576 9.57849 [-(-4*x^4-2*x^3+10*x^2-x+3)/(-2*x^5+3*x^3+2*x^2-3) lgdogf] A226577 11.2257 [-x*(3*x^3-2*x^2+2*x-4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A226578 9.06299 [x*(x^6-x^5-4*x^4+x^3-x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A226579 9.52761 [x*(2*x^5-6*x^3-4*x^2+3*x+6)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A226580 10.0208 [x*(x^8-x^7-4*x^6-2*x+7)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A226581 6.62253 [x*(2*x^9-2*x^8-6*x^7+3*x^6-x^5+3*x^4-3*x^3+x^2-4*x+8)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A226582 6.51572 [x*(4*x^10-4*x^9-6*x^8+x^7+3*x^6-3*x^5+3*x^3-3*x^2-3*x+9)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A226583 6.75613 [x*(x^8+5*x^7-x^6-10*x^5-4*x^4-x^3-4*x^2+5*x+10)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A226591 8.67591 [-(x+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x^9-x^7+x^6+x^5-x^4+x^2-1) ogf] A226592 6.09620 [-(x+1)*(x^4-x^2+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)/(2*x^11+2*x^8+2*x^5-1) ogf] A226622 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/24*Pi)*2^(3/8)*(2+2^(1/2))^(1/2) A226635 14.1581 [-(x^3+1)/(x^5-x^4+x-1) ogf_with_Euler_transform] A226635 99.9999 Evaluated at exp(-Pi) 1/4*exp(11/24*Pi)*2^(3/8)*(2-2^(1/2))^(1/2) A226637 5.69476 [x*(10*x^16-9*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(10*x^8-1) ogf] A226638 5.30332 [-(5*f(x)+2)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2-x^3-2*f(x)*x-4*x^2+f(x)-x) ogf] A226638 9.95282 [x*(x^2+4*x+1)/(x^4-2*x^3-7*x^2-2*x+1) ogf] A226639 10.3886 [-(6*x^2-4*x+1)/(x-1)^5 ogf] A226639 12.4348 [-(-18*x^2+4*x-1)/(-6*x^3+10*x^2-5*x+1) lgdogf] A226639 4.10350 [{(-n-4)*a(n+4)+(16+5*n)*a(n+3)+(-24-10*n)*a(n+2)+(24+6*n)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A226649 10.5812 [-x*(2*x^3+x^2+2*x+2)/(x+1)/(x^4+x^2-1) ogf] A226694 10.9404 [(x+1)/(x^2-4098*x+1) ogf] A226694 5.35856 [(16797700*f(x)+4101)*(f(x)*x^2-4098*f(x)*x+f(x)-x-1) ogf] A226694 5.96750 [{-a(n+2)+4098*a(n+1)-a(n),a(0)=1,a(1)=4099} ogf] A226695 10.9404 [-(x-1)/(x^2-4098*x+1) ogf] A226695 5.14842 [-(16789504*f(x)-4095)*(f(x)*x^2-4098*f(x)*x+f(x)+x-1) ogf] A226695 5.96750 [{a(n+2)-4098*a(n+1)+a(n),a(0)=1,a(1)=4097} ogf] A226699 4.37 [-(2319525*f(x)-2319521)*(f(x)*x^2-1523*f(x)*x+f(x)+1523*x-2) ogf] A226699 5.31352 [{a(n+2)-1523*a(n+1)+a(n),a(0)=2,a(1)=1523} ogf] A226699 9.16843 [-(1523*x-2)/(x^2-1523*x+1) ogf] A226700 13.5289 [x/(x^2-1523*x+1) ogf] A226700 5.79812 [{a(n+2)-1523*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A226700 7.85551 [-f(x)*x^2+1523*f(x)*x-f(x)+x ogf] A226701 4.87072 [(1160525*f(x)+763)*(f(x)*x^2-1523*f(x)*x+f(x)-x-1) ogf] A226701 5.31352 [{-a(n+2)+1523*a(n+1)-a(n),a(0)=1,a(1)=1524} ogf] A226701 9.74146 [(x+1)/(x^2-1523*x+1) ogf] A226702 4.72313 [-(579501*f(x)-380)*(f(x)*x^2-1523*f(x)*x+f(x)+x-1) ogf] A226702 5.31352 [{a(n+2)-1523*a(n+1)+a(n),a(0)=1,a(1)=1522} ogf] A226702 9.74146 [-(x-1)/(x^2-1523*x+1) ogf] A226710 6.86654 [-(x^4+2*x^3+4*x^2+3*x+3)/(x^5+x^4+2*x^3+x^2+2*x-1) ogf] A226721 8.08893 [-(x^7-2*x^6-x^5-2*x^4-x^3-2*x^2-x-2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A226725 10.1183 [-(4*x^3-20*x^2-4*x-4)/(x^4-4*x^3-2*x^2+4*x+1) lgdogf] A226725 12.6090 [(x^2-4*x-1)/(x-1)^3/(x+1)^3 ogf] A226731 3.37792 [{(-4*n^3-50*n^2-208*n-288)*a(n+1)+(n+5)*a(n+2),a(0)=20,a(1)=630} ogf] A226737 10.7385 [(10*x^2+x-1)/(11*x-1)/(x-1)^2 ogf] A226737 5.49611 [(6856700*f(x)+3266743)*(11*f(x)*x^3-23*f(x)*x^2+13*f(x)*x-10*x^2-f(x)-x+1) ogf] A226737 5.91530 [{a(n+3)-13*a(n+2)+23*a(n+1)-11*a(n),a(0)=1,a(1)=12,a(2)=123} ogf] A226737 7.58701 [-(110*x^3+132*x^2-54*x+12)/(110*x^4-109*x^3-13*x^2+13*x-1) lgdogf] A226741 3.93599 [{(-92*n^2-569*n-879)*a(n+1)+(280*n^2+1668*n+1292)*a(n+2)+(-188*n^2-715*n-453)*a(n+3),a(0)=75,a(1)=308,a(2)=807} ogf] A226741 8.65918 [-(2*x^3-48*x^2+234*x-308)/(x^4-18*x^3+84*x^2-142*x+75) lgdogf] A226741 8.65918 [(x-3)*(x^2-14*x+25)/(x-1)^5 ogf] A226751 6.21598 [-216*f(x)^3*x^2-211*f(x)^3*x+36*f(x)^3+162*f(x)^2*x-24*f(x)^2-11*f(x)-1 ogf] A226774 5.04053 [-(x+1)*(x^41+x^20-2*x^19+2*x^18-2*x^17+2*x^16-2*x^14+2*x^13-2*x^12+2*x^11-x^10-x^5-1)/(x-1)/(x^41-x^5-1) ogf] A226782 8.08594 [-x^2*(x^6-4*x^2-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A226783 6.41095 [-x*(x^9-x^6-x^5-5*x^4-x^2-2*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A226784 6.69875 [-x^4*(x^8-6*x^2-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A226785 4.81760 [-x*(x^13-x^10-2*x^9-x^8-2*x^7-7*x^6-x^4-3*x^3-3*x^2-x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A226786 5.07893 [-x^2*(x^14-x^10-3*x^8-8*x^6-x^4-2*x^2-2)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A226787 4.30185 [-x*(x^17-x^14-3*x^12-x^11-3*x^9-9*x^8-x^6-4*x^5-4*x^3-x^2-1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A226796 11.9682 [-(170*x^4+220*x^3+162*x^2+49*x+10)/(x-1) ogf] A226796 6.60648 [-(226475494759*f(x)-821814844183)*(170*x^4+220*x^3+f(x)*x+162*x^2-f(x)+49*x+10) ogf] A226797 11.9144 [-(-340*x^3-1320*x^2-1944*x-588)/(85*x^4+440*x^3+972*x^2+588*x+120) lgdegf] A226797 4.57865 [(371398235*f(x)+1660731978)*(-170*x^4-220*x^3-162*x^2+f(x)-49*x-10) ogf] A226797 4.77349 [{a(n+5),a(0)=10,a(1)=49,a(2)=162,a(3)=220,a(4)=170} ogf] A226800 7.04753 [(x^4-34*x^3+246*x^2-634*x+541)/(x-1)^6 ogf] A226801 5.56082 [(x-3)*(x^4-64*x^3+606*x^2-1744*x+1561)/(x-1)^7 ogf] A226804 10.0460 [1/(81*x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A226804 4.44894 [(1893257*f(x)+12393)*(59049*f(x)*x^4-29160*f(x)*x^3+3510*f(x)*x^2-120*f(x)*x+f(x)-1) ogf] A226804 5.82105 [-(-236196*x^3+87480*x^2-7020*x+120)/(-59049*x^4+29160*x^3-3510*x^2+120*x-1) lgdogf] A226845 8.17857 [-(x^2-3)*(x^2+1)/(x^5-x^4-2*x^3+2*x^2-3*x+1) ogf] A226855 12.6348 [1/(x+1)+exp(x) lgdegf] A226855 35.4469 [1/(x+1)+exp(x) lgdegf] A226857 6.62629 [-x*(x^10+x^9+x^8+2*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+2*x+1)/(x^6+x^3-1) ogf] A226858 2.35089 [-(83*f(x)-61997992056000)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+258594336000*x+258594336000) ogf] A226861 5.99713 [-(-2*x^5-3*x^3-x+2)/(x^6+x^5+x^4-x^2-x-1) ogf_with_Euler_transform] A226862 99.9999 Evaluated at exp(-Pi) 27/512*GAMMA(7/12)^9*(5/3+3^(1/2))*3^(1/2)*exp(1/6*Pi)*2^(5/8)*GAMMA(11/12)^4*GAMMA(2/3)^5/Pi^2/GAMMA(3/4)^15 A226864 5.53009 [-(-2*x^7-2*x^5-2*x^4-x^3-2*x^2)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A226866 6.39963 [-(x^5-8*x^4+16*x^3-19*x^2+11*x-4)/(x-1)^6 ogf] A226867 4.50778 [-(x^12+2*x^11-34*x^10+136*x^9-409*x^8+857*x^7-1280*x^6+1353*x^5-1029*x^4+550*x^3-205*x^2+47*x-7)/(x-1)^12 ogf] A226892 6.32838 [-x*(17*x^5-29*x^4-73*x^3+65*x^2+47*x-29)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A226903 6.91469 [(x^5+5*x^4+10*x^3+20*x^2+13*x+5)/(x+1)^3/(x-1)^4 ogf] A226910 15.5295 [-(x^6-x)/(-x^6+x+1) revogf] A226916 13.1522 [-x^4*(x+1)*(x^3-x+1)/(x^6+x^2-1) ogf] A226917 3.14370 [-(5*x^3-5*x^2+1)/(2*x^2-1)/(2*x-1)^2 ogf] A226940 6.18454 [-x*(x^9+3*x^8-6*x^7+2*x^6+4*x^5+4*x^4-2*x^3+6*x^2+3*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A226941 11.1436 [-1/(x-1)/(6*x-1)/(15*x-1)/(3*x-1)/(10*x-1) ogf] A226941 5.93715 [-(-13500*x^4+18000*x^3-6579*x^2+854*x-35)/(-2700*x^5+4500*x^4-2193*x^3+427*x^2-35*x+1) lgdogf] A226954 2.83962 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12671122464000,a(1)=50684489856000,a(2)=114040102176000} ogf] A226954 2.89679 [-(83*f(x)-3037901610744000)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+12671122464000*x+12671122464000) ogf] A226954 5.46357 [-12671122464000*(x+1)/(x-1)^3 ogf] A226956 13.3550 [(x-1)*(x^2+1)/(x^2-x+1)/(x^2+x-1) ogf] A226956 7.74365 [(5*f(x)-4)*(f(x)*x^4-f(x)*x^2-x^3+2*f(x)*x+x^2-f(x)-x+1) ogf] A226956 7.94391 [-(x^6-2*x^5+4*x^4-8*x^3+4*x^2-1)/(x^7-x^6+2*x^4-4*x^3+4*x^2-3*x+1) lgdogf] A226958 12.0370 [-2*(x^2+3*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A226958 6.01848 [-(5837*f(x)+144)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+6*x-2) ogf] A226958 7.35002 [-(2*x^5+12*x^4+14*x^3-24*x^2+10*x)/(x^6+6*x^5+2*x^4-24*x^3-2*x^2+6*x-1) lgdogf] A226974 14.5945 [-(x^4-x)/(-x^4+x+1) revogf] A226976 5.04291 [-(175175*f(x)-37946)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+2*x^3-3*f(x)*x+5*x^2+f(x)-6*x-1) ogf] A226976 9.82386 [-(x-1)*(2*x^2+7*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A226988 3.64750 [-(2*x^11-12*x^10+26*x^9-12*x^8-56*x^7+137*x^6-148*x^5+67*x^4+31*x^3-64*x^2+38*x-10)/(x-1)^8 ogf] A226994 4.39889 [-f(x)^2*x^4+8*f(x)^2*x^3-14*f(x)^2*x^2-f(x)*x^3+8*f(x)^2*x+7*f(x)*x^2-f(x)^2-7*f(x)*x+f(x)+x ogf] A227012 6.07020 [(x^8-2*x^7+5*x^5+5*x^4+6*x^3+7*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^4 ogf] A227013 5.23426 [(x^8-3*x^7+2*x^6-4*x^5-20*x^4-23*x^3-22*x^2-2*x-1)/(x^2+x+1)/(x-1)^5 ogf] A227014 4.86884 [(x^8-4*x^7+4*x^6+13*x^5+49*x^4+108*x^3+63*x^2+5*x+1)/(x+1)/(x-1)^6 ogf] A227015 5.46854 [(x^9-3*x^8+3*x^7-2*x^6+4*x^5+5*x^4+4*x^3+8*x^2+2*x+2)/(x+1)/(x^2+1)/(x-1)^4 ogf] A227016 4.84810 [(x^11-3*x^10+3*x^9-x^8+2*x^7+x^6-x^5+4*x^4-2*x^3+4*x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^4 ogf] A227017 10.6646 [(x^4-3*x^3-2*x^2-x-1)/(x+1)/(x-1)^3 ogf] A227017 6.08277 [-(162*f(x)-857)*(f(x)*x^4-2*f(x)*x^3-x^4+3*x^3+2*f(x)*x+2*x^2-f(x)+x+1) ogf] A227021 5.90593 [(x^7-6*x^5+7*x^4-11*x^3+21*x^2-16*x+7)/(x-1)^6 ogf] A227026 4.32601 [(145*x^13-607*x^12-1771*x^11+2276*x^10-289*x^9+230*x^8-40*x^7+13*x^6+20*x^5+x^4+3*x^3+8*x^2+16*x-3)/(x-1)/(x^2-6*x+1) ogf] A227033 15.6204 [-(4*x^2-6*x+4)/(x^4-1) ogf_with_Euler_transform] A227033 99.9999 Evaluated at exp(-Pi) 2*exp(-1/3*Pi)*2^(3/4) A227035 15.4653 [-(x^5-x)/(-x^5+x+1) revogf] A227036 14.2033 [2*(x^2+1)/(x-1)/(2*x^3+x-1) ogf] A227036 7.89075 [f(x)*(2*f(x)*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x-2*x^2+f(x)-2) ogf] A227036 8.54831 [-(4*x^5-2*x^4+8*x^3-4*x^2-2)/(2*x^6-2*x^5+3*x^4-4*x^3+2*x^2-2*x+1) lgdogf] A227037 3.42927 [{(-n-5)*a(n+1)+(2*n+10)*a(n+2)+(-n-7)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=12} ogf] A227043 4.80804 [x*(4*x^14+x^13+12*x^12+8*x^11+20*x^10+6*x^9+28*x^8+16*x^7+28*x^6+3*x^5+20*x^4+8*x^3+12*x^2+2*x+4)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A227047 12.5918 [-x^2*(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A227056 4.60110 [-(x^7-9*x^6+35*x^5-77*x^4+103*x^3-84*x^2+40*x-10)/(x-1)^8 ogf] A227081 3.27315 [{(-24*n-48)*a(n+1)+(52*n+124)*a(n+2)+(-26*n-86)*a(n+3)+(3*n+12)*a(n+4),a(0)=1,a(1)=2,a(2)=8,a(3)=40} ogf] A227081 6.77773 [2*(-12*x^2+2*(12*x^2-8*x+1)^(1/2)+16*x-5)/(4*x^2-8*x+3)/(6*x-1) lgdogf] A227081 7.13825 [-12*f(x)^2*x^2+20*f(x)^2*x-3*f(x)^2-12*f(x)*x+2*f(x)+1 ogf] A227085 6.59385 [-(x-2)*(x^4-3*x^3+6*x^2-5*x+2)/(x-1)^6 ogf] A227099 4.05649 [-(x^10-3*x^9+x^8+3*x^7-2*x^6+11*x^5-37*x^4+52*x^3-40*x^2+17*x-4)/(x-1)^8 ogf] A227104 11.4204 [-(2*x^3+3*x^2+3*x-1)/(x^2+x+1)/(x^2+x-1) ogf] A227104 6.66949 [-(10*f(x)+29)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+2*x^3+3*x^2-f(x)+3*x-1) ogf] A227110 4.1243 [-(500002000000*f(x)-250000999999)*(f(x)*x^2-1000002*f(x)*x+f(x)+500001*x-1) ogf] A227111 8.431 [-f(x)*x^2+1000002*f(x)*x-f(x)+x ogf] A227119 8.75795 [(1+2/5*5^(1/2))*exp(1/2*(5^(1/2)+1)*x)+(1-2/5*5^(1/2))*exp(-1/2*(5^(1/2)-1)*x) lgdegf] A227121 4.12838 [{(-29*n^2-213*n-378)*a(n+1)+(54*n^2+280*n+246)*a(n+2)+(-25*n^2-83*n-24)*a(n+3),a(0)=3,a(1)=7,a(2)=13} ogf] A227121 8.92110 [(2*x^3-8*x^2+8*x-3)/(x-1)^5 ogf] A227121 9.13101 [-(-4*x^3+18*x^2-16*x+7)/(-2*x^4+10*x^3-16*x^2+11*x-3) lgdogf] A227137 4.77745 [(1000005000004*f(x)+1000005)*(f(x)*x^2-1000002*f(x)*x+f(x)-x-1) ogf] A227138 4.64948 [-(1000003000000*f(x)-999999)*(f(x)*x^2-1000002*f(x)*x+f(x)+x-1) ogf] A227139 10.9947 [-(2*x-48)/(x^2-48*x+1) lgdogf] A227139 16.1686 [1/(x^2-48*x+1) ogf] A227139 6.46746 [(1151*f(x)+1)*(f(x)*x^2-48*f(x)*x+f(x)-1) ogf] A227139 6.54445 [{-a(n+2)+48*a(n+1)-a(n),a(0)=1,a(1)=48} ogf] A227144 9.68451 [(x+1)*(x^4+5*x^3+5*x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A227146 9.75555 [(x+1)*(5*x^4+x^2+x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A227148 4.90764 [x*(2*x^12-x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+2*x^4-2*x^3+2*x^2-2*x+3)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A227149 4.93230 [(x^13+2*x^12-2*x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+2*x^4-2*x^3+2*x^2+1)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A227151 10.6538 [-f(x)*x^2+125619266*f(x)*x-f(x)+x ogf] A227152 4.67458 [-(80800*f(x)-40399)*(f(x)*x^2-402*f(x)*x+f(x)+201*x-1) ogf] A227152 5.48992 [{a(n+2)-402*a(n+1)+a(n),a(0)=1,a(1)=201} ogf] A227152 9.63537 [-(201*x-1)/(x^2-402*x+1) ogf] A227161 12.5562 [-(-x^2-x-3)/(-x^3+2*x^2-2*x+1) lgdogf] A227161 24.1945 [-2*x^5+2*x^2+2*x+3 ogf_with_Euler_transform] A227161 4.07918 [{(n+4)*a(n+4)+(-9-2*n)*a(n+3)+(3+2*n)*a(n+2)+(-2-n)*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=18} ogf] A227161 8.45894 [-(x^2-x+1)^2/(x-1)^5 ogf] A227168 4.23946 [-(4*x^10+x^9+9*x^8+4*x^7+88*x^6+6*x^5+22*x^4+4*x^3+36*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A227169 4.59619 [{(16*n^3+128*n^2+340*n+300)*a(n+1)+(-n^3-11*n^2-38*n-40)*a(n+2),a(0)=1,a(1)=6} ogf] A227175 16.0097 [-(8*x^2-12*x+8)/(x^4-1) ogf_with_Euler_transform] A227175 99.9999 Evaluated at exp(-Pi) 8*exp(-2/3*Pi)*2^(1/2) A227187 5.83327 [-x*(x^15-2*x^12+x^7-2*x^6-x^5+x^3-2)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A227200 11.2056 [-x*(3*x-1)/(2*x-1)/(x^2+x-1) ogf] A227200 5.80656 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=0} ogf] A227200 7.51437 [2*f(x)*x^3+f(x)*x^2-3*f(x)*x+3*x^2+f(x)-x ogf] A227200 8.18874 [-(12*x^3-3*x^2-2*x)/(6*x^4+x^3-10*x^2+6*x-1) lgdogf] A227209 11.2126 [1/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A227209 4.46752 [(291527*f(x)+85760)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x+f(x)-1) ogf] A227209 8.53496 [-(32*x^2-34*x+8)/(8*x^3-14*x^2+7*x-1) lgdogf] A227216 9.00984 [-(2*x^3-x^2+x+3)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A227226 12.5768 [-(-4*x^3+4*x^2-2*x-4)/(x^4+x^2+1) ogf_with_Euler_transform] A227229 16.6886 [-(4*x^2-6*x+6)/(-x^3-1) ogf_with_Euler_transform] A227252 6.38796 [(x^6-7*x^5+20*x^4-26*x^3+21*x^2-9*x+2)/(x-1)^6 ogf] A227259 7.90474 [-(x^4-6*x^3+9*x^2-8*x+9)/(x^5-6*x^4+13*x^3-14*x^2+9*x-3) lgdogf] A227259 8.15437 [-(x^4-5*x^3+8*x^2-6*x+3)/(x-1)^5 ogf] A227265 7.87277 [-(-x^4-4*x^3+18*x^2-16*x+8)/(-x^5+x^4+6*x^3-13*x^2+10*x-3) lgdogf] A227265 9.04916 [(x^4-6*x^2+7*x-3)/(x-1)^5 ogf] A227273 10.1831 [-1/(x-1)/(4*x-1)/(20*x-1)/(35*x-1)/(10*x-1) ogf] A227300 13.9694 [-(x^3-x-1)/(x^6-2*x^3-x+1) ogf] A227316 5.47208 [-x*(x^6+3*x^5+9*x^2-3*x+2)/(x-1)^3/(x^2+1)^3 ogf] A227317 17.4305 [-(-8*x+2)/(x^2-1) ogf_with_Euler_transform] A227317 99.9999 Evaluated at exp(-Pi) 1/32*exp(3/4*Pi)*Pi^2*2^(3/4)/GAMMA(3/4)^8 A227327 7.55822 [-x*(x^3-x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A227327 9.01833 [-(-4*x^4+2*x^3-6*x^2-8*x-4)/(-x^5+x^4-2*x^2+x+1) lgdogf] A227329 4.13850 [-(2*x^9-13*x^8+30*x^7-37*x^6+43*x^5-69*x^4+84*x^3-58*x^2+21*x-4)/(x-1)^8 ogf] A227347 9.90430 [x*(3*x^2+4*x+3)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A227353 10.0882 [-x*(x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A227356 7.94269 [-(x^2-x+1)*(x+1)/(x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A227375 5.62929 [-(x^4+x-1)*(x^5+x^4+x^3-x-1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^7+x^6+x^5-x^3-x^2-x+1) ogf] A227376 13.7340 [1/(x^7+x^6+x^5-x^3-x^2-x+1) ogf] A227376 7.97062 [-(-7*x^6-6*x^5-5*x^4+3*x^2+2*x+1)/(-x^7-x^6-x^5+x^3+x^2+x-1) lgdogf] A227380 7.24181 [x*(x^4+5*x^2-2*x+2)/(x-1)^2/(x^2+1)^2 ogf] A227392 5.18171 [(2*x^9+3*x^8+3*x^7-4*x^6-2*x^4-3*x^3-2*x^2-2*x-1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A227394 7.05657 [-(x^15-x^14+x^8-x^7-x^5-x^4-x^3-x^2-1)/(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A227395 5.43153 [-(-2*x^17-2*x^16+x^15-x-2)/(x^18-x^16+x^2-1) ogf_with_Euler_transform] A227398 9.40387 [-(x^10-x^9+x^6+x^4-x+1)/(-x^12+1) ogf_with_Euler_transform] A227398 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/12*Pi)/Pi^(1/3)*3^(1/12)*GAMMA(2/3)^(2/3)*GAMMA(3/4)^(2/3)*(2^(1/2)*(1+3^(1/2)))^(2/3)/GAMMA(11/12)^(2/3) A227404 10.5223 [-(2*x-8)/(-x^3+5*x^2-10*x+6) lgdegf] A227404 7.05144 [f(x)*(-x^4+12*f(x)*x^2+4*x^3-24*f(x)*x-6*x^2+12*f(x)) egf] A227404 9.37141 [1/12*x^2*(x^2-4*x+6)/(x-1)^2 egf] A227417 12.1298 [-(7*x^3-3*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A227417 5.04189 [{(-n-16)*a(n+1)-a(n+2)-a(n+3)+(n+15)*a(n+4),a(0)=1,a(1)=5,a(2)=8,a(3)=2} ogf] A227417 6.34056 [-(21391*f(x)+735587)*(f(x)*x^4-f(x)*x^3+7*x^3-f(x)*x-3*x^2+f(x)-4*x-1) ogf] A227430 8.21223 [x^2*(x-1)^3/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A227438 11.0017 [-2*(3*x^2+2)/(6*x^3-2*x^2+4*x-1) ogf] A227438 5.50086 [{a(n+3)-4*a(n+2)+2*a(n+1)-6*a(n),a(0)=4,a(1)=16,a(2)=62} ogf] A227438 5.50087 [-(25*f(x)-291)*(6*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+6*x^2-f(x)+4) ogf] A227438 6.81628 [-(-18*x^4-24*x^2+2*x-8)/(-18*x^5+6*x^4-24*x^3+7*x^2-8*x+2) lgdogf] A227451 10.8808 [x*(4*x^3-3*x^2+x+1)/(x-1)/(4*x-1)/(x+1) ogf] A227451 5.47791 [{-a(n+5)+4*a(n+4)+a(n+3)-4*a(n+2),a(0)=0,a(1)=1,a(2)=5,a(3)=18,a(4)=77} ogf] A227451 5.79779 [-(180372*f(x)+109373)*(4*f(x)*x^3-4*x^4-f(x)*x^2+3*x^3-4*f(x)*x-x^2+f(x)-x) ogf] A227451 7.28713 [-(-8*x^4+40*x^3-13*x^2+4*x-5)/(16*x^6-16*x^5-9*x^4+19*x^3-8*x^2-3*x+1) lgdogf] A227463 15.1237 [exp(-x)*arcsinh(x) revegf] A227464 16.7097 [exp(-x)*sin(x) revegf] A227465 15.8863 [exp(-x)*arctan(x) revegf] A227482 10.0034 [27*(1102*x^2+1849*x+172)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A227482 4.69435 [(17987087098233179*f(x)+99803813020728759567)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2-11*f(x)*x-29754*x^2+f(x)-49923*x-4644) ogf] A227482 6.46375 [-(-17632*x^4-31152*x^3+45876*x^2-2720*x-3741)/(-8816*x^5+636*x^4+16796*x^3-9433*x^2+645*x+172) lgdogf] A227483 8.43305 [-3*(134852*x^3+651387*x^2+252978*x+7843)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A227484 7.09550 [2*(33200*x^4+419644*x^3-66470*x^2-52522*x-213)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227485 4.02416 [-(2325120*x^6+35155008*x^5+8025448*x^4-23338464*x^3+4259002*x^2+772926*x+1165)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227486 6.65189 [-2*(15360*x^4-37248*x^3+36008*x^2-14510*x+2649)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227487 4.55217 [-(790528*x^6-2547712*x^5+3259584*x^4-2480544*x^3+1033772*x^2-252180*x+34255)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227488 4.73789 [4*(352*x^4+33888*x^3+8782*x^2-11847*x-548)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227489 3.32711 [(9728*x^6-5562240*x^5-6785696*x^4+8367736*x^3-522036*x^2-614326*x-9801)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227490 3.22329 [(104407875605162024*f(x)+417609493655245807869)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2-3816*x^3-11*f(x)*x-51840*x^2+f(x)-27999*x-666) ogf] A227490 6.54946 [9*(424*x^3+5760*x^2+3111*x+74)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A227491 5.07711 [-12*(1540*x^4+91627*x^3+145386*x^2+23051*x+161)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A227492 5.57619 [9*(192*x^4+1056*x^3-452*x^2-280*x-3)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227493 4.66199 [6*(768*x^6-36032*x^5+39056*x^4+42748*x^3-17332*x^2-2309*x-7)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227494 5.20765 [-3*(8192*x^4+576*x^3+5624*x^2+78*x+479)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227495 3.96394 [-3*(137216*x^6-886208*x^5-605152*x^4-65180*x^3+140000*x^2+14665*x+1599)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227496 5.17469 [-2*(198144*x^4-497024*x^3+453464*x^2-185730*x+29139)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227497 3.48470 [-(18911232*x^6-62611456*x^5+84286784*x^4-59759584*x^3+24097588*x^2-5391180*x+535169)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227508 8.63068 [-(2*x^28-2*x^26+x^22-x^20+5*x^13-5*x^12-1)/(x-1)^2 ogf] A227512 5.67176 [(x^7+8*x^6+63*x^5+72*x^4+72*x^3+72*x^2+62*x+10)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A227513 5.97253 [(10*x^6+62*x^5+73*x^4+70*x^3+73*x^2+62*x+10)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A227524 15.3128 [-1/(3*x-1)/(27*x-1)/(9*x-1) ogf] A227524 5.31520 [{a(n+3)-39*a(n+2)+351*a(n+1)-729*a(n),a(0)=1,a(1)=39,a(2)=1170} ogf] A227524 5.90036 [(7651*f(x)-891)*(729*f(x)*x^3-351*f(x)*x^2+39*f(x)*x-f(x)+1) ogf] A227524 8.57519 [-(2187*x^2-702*x+39)/(729*x^3-351*x^2+39*x-1) lgdogf] A227528 11.8878 [4*hypergeom([4/3,5/3],[1/2],27/8*x) egf] A227528 6.19365 [{(-27*n^2-135*n-168)*a(n+1)+(8*n+12)*a(n+2),a(0)=4,a(1)=60} ogf] A227541 11.4108 [-x*(3*x^2+7*x+3)/(x+1)/(x-1)^3 ogf] A227541 6.2856 [(99*f(x)+173)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x+7*x^2-f(x)+3*x) ogf] A227541 9.88935 [-(6*x^3+27*x^2+32*x+13)/(3*x^4+7*x^3-7*x-3) lgdogf] A227542 12.5743 [x^2*(2*x^5-3*x^4+x^3+2*x^2-x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A227545 11.7581 [-(-x^3+x^2+x+1)/(-x^4+2*x^2-1) lgdegf] A227545 3.66766 [{(n+5)*a(n+5)-a(n+4)+(-7-2*n)*a(n+3)-a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=5/3,a(4)=5/3} egf] A227554 6.39963 [-(x^5-8*x^4+17*x^3-21*x^2+12*x-4)/(x-1)^6 ogf] A227582 7.49800 [(x+1)*(x^5-2*x^4-x^3-x^2-x-2)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A227595 8.31900 [-(-3*x^5-2*x^4-x^3+x^2-x-2)/(x^6-1) ogf_with_Euler_transform] A227624 4.23699 [{(128*n^3+832*n^2+1784*n+1260)*a(n+1)+(-27*n^2-81*n-60)*a(n+2),a(0)=2,a(1)=60} ogf] A227637 7.53530 [-(x^5-x^4-2*x^3+6*x^2-5*x+2)/(x-1)^5 ogf] A227653 10.8176 [-(3*x^3+x^2+3*x-8)/(x-1)/(x^3+x^2+2*x-1) ogf] A227653 6.27238 [(5*f(x)-4)*(f(x)*x^4+f(x)*x^2+3*x^3-3*f(x)*x+x^2+f(x)+3*x-8) ogf] A227665 11.3016 [-(2*x^2-4*x-6)/(2*x^3+5*x^2-8*x+1) lgdogf] A227665 16.0734 [(x-1)/(2*x^2+7*x-1) ogf] A227665 8.21936 [(251*f(x)-89)*(2*f(x)*x^2+7*f(x)*x-f(x)-x+1) ogf] A227665 8.82077 [{-a(n+2)+7*a(n+1)+2*a(n),a(0)=1,a(1)=6} ogf] A227666 4.75503 [{-a(n+4)+40*a(n+3)-89*a(n+2)+220*a(n+1),a(0)=1,a(1)=24,a(2)=896,a(3)=33904} ogf] A227666 4.92733 [-(-28041+76457*f(x))*(220*f(x)*x^3-89*f(x)*x^2-20*x^3+40*f(x)*x+25*x^2-f(x)-16*x+1) ogf] A227666 8.94697 [(20*x^3-25*x^2+16*x-1)/(220*x^3-89*x^2+40*x-1) ogf] A227675 5.56794 [-(x^6-5*x^5+14*x^4-23*x^3+22*x^2-12*x+4)/(x-1)^7 ogf] A227695 17.2206 [-(-8*x-10)/(x^2-1) ogf_with_Euler_transform] A227695 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/4*Pi)*Pi^2*2^(1/4)/GAMMA(3/4)^8 A227696 6.02538 [-(-2*x^7-x^6+2*x^5+2*x^4-x^3-2*x^2-2*x+1)/(x^8+x^4+1) ogf_with_Euler_transform] A227696 99.9999 Evaluated at exp(-Pi) 1/24*exp(1/3*Pi)*3^(3/4)*GAMMA(2/3)/GAMMA(3/4)^7*GAMMA(11/12)^2*GAMMA(7/12)^3*(1+3^(1/2)) A227699 4.86316 [-(794944*x^4-1488480*x^3+1048900*x^2-309300*x+34081)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227700 3.67031 [-(45232640*x^6-120811392*x^5+131188512*x^4-75420072*x^3+24021228*x^2-4069110*x+299671)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227701 5.49610 [-3*(673216*x^4-1140192*x^3+694732*x^2-176880*x+16093)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227702 3.42002 [-2*(66777344*x^6-165722176*x^5+167355376*x^4-87769804*x^3+25124080*x^2-3726067*x+224954)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227703 3.71944 [{(27*n^2+172*n+236)*a(n+1)+(40*n^2+575*n+1365)*a(n+2)+(-67*n^2-465*n-792)*a(n+3),a(0)=52,a(1)=150,a(2)=328} ogf] A227703 4.74046 [(846504*f(x)+25752073)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+10*x^3-4*f(x)*x-40*x^2+f(x)+58*x-52) ogf] A227703 8.33668 [-(-5*x^3+25*x^2-47*x+75)/(-5*x^4+25*x^3-49*x^2+55*x-26) lgdogf] A227703 8.95421 [-2*(5*x^3-20*x^2+29*x-26)/(x-1)^4 ogf] A227704 7.03341 [-(15*x^4-75*x^3+147*x^2-137*x+82)/(x-1)^5 ogf] A227705 3.09105 [{(-32*n-136)*a(n+1)+(56*n+230)*a(n+2)+(-28*n-107)*a(n+3)+(4*n+13)*a(n+4),a(0)=198,a(1)=3834,a(2)=34434,a(3)=230418} ogf] A227705 4.2502 [(2730097555*f(x)+487491987594)*(32*f(x)*x^4-64*f(x)*x^3+42*f(x)*x^2-11*f(x)*x-576*x^2+f(x)-1656*x-198) ogf] A227705 8.50039 [18*(4*x+11)*(8*x+1)/(2*x-1)/(x-1)/(4*x-1)^2 ogf] A227706 6.58993 [-9*(384*x^3+1808*x^2+1040*x+53)/(2*x-1)/(x-1)/(4*x-1)^3 ogf] A227707 12.0007 [-6*(8*x^2-7*x+2)/(2*x-1)/(4*x-1)^2 ogf] A227707 6.64502 [(139*f(x)+222)*(32*f(x)*x^3-32*f(x)*x^2+10*f(x)*x+48*x^2-f(x)-42*x+12) ogf] A227707 6.75670 [{a(n+3)-10*a(n+2)+32*a(n+1)-32*a(n),a(0)=12,a(1)=78,a(2)=444} ogf] A227707 9.03424 [-(64*x^3-96*x^2+60*x-13)/(64*x^4-104*x^3+66*x^2-19*x+2) lgdogf] A227708 5.76284 [-6*(288*x^4-560*x^3+408*x^2-123*x+14)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227709 4.25499 [-3*(7168*x^6-19328*x^5+21456*x^4-12636*x^3+4100*x^2-705*x+53)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227710 4.35049 [-36*(2304*x^4-4520*x^3+3006*x^2-3099*x+1310)/(x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A227711 3.74109 [-3*(762880*x^6-2158592*x^5+2889984*x^4-612832*x^3-400012*x^2-183720*x+134643)/(x-1)/(4*x-1)^3/(2*x-1)^3 ogf] A227712 13.0675 [-(5*x^2-6*x+4)/(2*x-1)/(x-1)^2 ogf] A227712 6.99228 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=4,a(1)=10,a(2)=25} ogf] A227712 7.11714 [(17*f(x)+7)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+5*x^2-f(x)-6*x+4) ogf] A227712 9.05818 [-(10*x^3-14*x^2+20*x-10)/(10*x^4-27*x^3+31*x^2-18*x+4) lgdogf] A227719 8.19586 [(x^5-2*x^4-6*x^3-6*x^2-6*x-5)/(x+1)/(x^2+1)/(x-1)^3 ogf] A227720 8.90088 [-(x^4+5*x^3+7*x^2+6*x+5)/(x+1)/(x^2+1)/(x-1)^3 ogf] A227721 12.2037 [-(-2*x^2+10*x-44)/(-2*x^3+9*x^2-24*x+17) lgdogf] A227721 13.3847 [-(2*x^2-7*x+17)/(x-1)^3 ogf] A227721 6.97355 [(2672*f(x)-32515)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-7*x+17) ogf] A227721 7.21610 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=44,a(2)=83} ogf] A227726 6.40850 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+6*n+2)*a(n+1),a(0)=1,a(1)=4} ogf] A227726 6.58171 [-27*f(x)^3*x+4*f(x)^3-27*f(x)^2*x+4*f(x)^2-9*f(x)*x-4*f(x)-x-4 ogf] A227728 4.24951 [-(4*x^9-4*x^8+3*x^7-4*x^6+3*x^5-4*x^4+3*x^3-4*x^2+7*x-10)/(x-1)/(2*x^9+2*x^7+2*x^5+2*x^3+4*x-1) ogf] A227747 6.59555 [-(x^5-5*x^3-11*x^2-9*x-4)/(x^6-x^5-4*x^4-8*x^3-4*x^2-x+1) ogf] A227776 12.4582 [-(-x^2-10*x-25)/(-x^3-3*x^2-3*x+7) lgdogf] A227776 13.4793 [-(x^2+4*x+7)/(x-1)^3 ogf] A227776 7.21262 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=25,a(2)=55} ogf] A227776 7.40756 [(f(x)-7)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+7) ogf] A227786 12.3653 [(x^3+x^2-5*x-1)/(x+1)/(x-1)^3 ogf] A227786 6.99349 [(84*f(x)-853)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x-x^2-f(x)+5*x+1) ogf] A227786 8.70619 [-(-x^4-4*x^3+10*x^2+12*x+7)/(-x^5-x^4+6*x^3+2*x^2-5*x-1) lgdogf] A227792 6.11207 [-(736*f(x)+3009)*(f(x)*x^4+3*x^4-6*f(x)*x^2+x^3-17*x^2+f(x)-6*x-1) ogf] A227792 9.82888 [-(3*x^4+x^3-17*x^2-6*x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A227804 5.42814 [(41*f(x)-152)*(f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2+8*x^3-3*f(x)*x-12*x^2+f(x)+18*x-15) ogf] A227804 9.70281 [-(8*x^3-12*x^2+18*x-15)/(x-1)/(x^3-x^2+2*x-1) ogf] A227805 11.6789 [-2*(2*x^2+4*x+1)/(x-1)/(x+1)^2 ogf] A227805 6.24926 [(92*f(x)-535)*(f(x)*x^3+f(x)*x^2-f(x)*x+4*x^2-f(x)+8*x+2) ogf] A227805 6.41815 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=6,a(2)=0} ogf] A227805 8.90519 [-(-2*x^3-6*x^2-3*x-3)/(-2*x^4-4*x^3+x^2+4*x+1) lgdogf] A227816 5.03140 [-(6*x^8-10*x^7+8*x^6-9*x^5-3*x^4+5*x^3-4*x^2-7*x+16)/(x-1)/(x^8-x^7+x^6-x^5-x^4-x^2-2*x+1) ogf] A227824 9.16355 [-(-2*x^3+(8*x^5-4*x^4+x^2-2*x+1)^(1/2))/(4*x^4-1)*x revogf] A227832 4.81649 [-(700*f(x)-2241)*(f(x)*x^3+f(x)*x^2-f(x)*x+2*x^2-f(x)+5*x+1) ogf] A227832 5.16053 [{-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=-1} ogf] A227832 9.47507 [-(2*x^2+5*x+1)/(x-1)/(x+1)^2 ogf] A227849 7.82384 [x*(x+1)*(x^6-3*x^5+x^4-x^3+x^2-3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A227860 7.88857 [-x^2*(3*x^7+2*x^4+3*x^3+x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A227863 12.9444 [(71*x^2+48*x+1)/(x+1)/(x-1)^2 ogf] A227863 6.79584 [(1320*f(x)-53101)*(f(x)*x^3-f(x)*x^2-f(x)*x-71*x^2+f(x)-48*x-1) ogf] A227863 7.09130 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=49,a(2)=121} ogf] A227863 9.06111 [-(-71*x^3-167*x^2-193*x-49)/(-71*x^4-48*x^3+70*x^2+48*x+1) lgdogf] A227896 7.61624 [-(x^16+3*x^15+4*x^14-4*x^12+x^11-4*x^10+4*x^9-x^8+4*x^7-4*x^6+x^5-4*x^4+4*x^2+3*x+1)/(x-1)/(x^16+1) ogf] A227900 11.2266 [-(-12*x^4-9*x^3-9*x^2-9*x-9)/(x^5-1) ogf_with_Euler_transform] A227901 9.67882 [-(-12*x^4-3*x^3-3*x^2-3*x-3)/(x^5-1) ogf_with_Euler_transform] A227906 11.5271 [-(x^5-x^3-4*x-2)/(x+1)^2/(x-1)^2 ogf] A227917 10.0024 [1/2-1/2*exp(2/(x+1))/exp(2) revegf] A227918 5.02826 [{(-n-4)*a(n+1)+a(n+2)+(n+6)*a(n+3)-a(n+4),a(0)=1,a(1)=0,a(2)=5,a(3)=22} ogf] A227937 147.323 [x+1/2*x^2 lgdegf] A227937 47.7318 [x+1/2*x^2 lgdegf] A227937 8.73523 [{(n^2+5*n+6)*a(n+1)+(2*n+6)*a(n+2)-2*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A227959 12.2101 [-(x+1)/(4*x^5+2*x^4+2*x^3+4*x^2-1) ogf] A227965 7.77201 [-(2*x^4+8*x^3-6*x^2+2*x-11)/(x-1)/(x^4+5*x^3+2*x^2+4*x-1) ogf] A227970 7.76080 [-x^2*(x^4+4*x^3+14*x^2+4*x+1)/(x+1)^3/(x-1)^5 ogf] A227970 8.32522 [-(4*x^5+22*x^4+96*x^3+68*x^2+44*x+6)/(x^6+4*x^5+13*x^4-13*x^2-4*x-1) lgdogf] A227972 7.22336 [-(2*x^11-x^10-x^9+x^8-4*x^7+3*x^6-2*x^5-x^4-x^3-x^2-1)/(x^6+2*x^3-1)/(x^6-2*x^3-1) ogf] A227978 7.98944 [(2*x^5-2*x^4-x^3+5*x^2-4*x+1)/(2*x-1)^2/(x-1)^2 ogf] A228002 3.86812 [{(-16*n^2-80*n-100)*a(n+1)+(-15*n^2-74*n-91)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=3,a(2)=33} ogf] A228012 6.72763 [(x^9-2*x^7-x^6+x^5+x^4-3*x-1)/(x+1)^2/(x^2+1)/(x-1)^3 ogf] A228016 10.4641 [-(5*x^2-55*x+54)/(x-1)/(x^2-10*x+1) ogf] A228016 4.96471 [-(4019473896*f(x)+2034242471)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+5*x^2-f(x)-55*x+54) ogf] A228016 5.66805 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=54,a(1)=539,a(2)=5340} ogf] A228016 5.91449 [-(-5*x^4+110*x^3-712*x^2+1178*x-539)/(-5*x^5+110*x^4-714*x^3+1204*x^2-649*x+54) lgdogf] A228017 6.30785 [[2] ogf_with_Euler_transform] A228025 11.5520 [-(5*x^2-24*x+20)/(x-1)/(x^2-4*x+1) ogf] A228025 6.22029 [(253*f(x)+355)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+5*x^2-f(x)-24*x+20) ogf] A228025 6.27391 [{a(n+3)-5*a(n+2)+5*a(n+1)-a(n),a(0)=20,a(1)=76,a(2)=285} ogf] A228025 6.61612 [-(-5*x^4+48*x^3-155*x^2+190*x-76)/(-5*x^5+49*x^4-165*x^3+225*x^2-124*x+20) lgdogf] A228052 10.0084 [-42212277303475883571*x^8+42212277303475883571*x^7+2 ogf_with_Euler_transform] A228078 11.2946 [x^2*(3*x-2)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A228078 5.90398 [(47*f(x)+341)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2-3*x^3+4*f(x)*x+2*x^2-f(x)) ogf] A228078 7.64045 [-(-18*x^4+22*x^3+6*x^2-16*x+5)/(-6*x^5+7*x^4+10*x^3-20*x^2+11*x-2) lgdogf] A228080 3.50976 [{(-3125*n^4-25000*n^3-74375*n^2-97500*n-47520)*a(n+1)+(n^4+8*n^3+24*n^2+32*n+16)*a(n+2),a(0)=1,a(1)=2520} ogf] A228081 14.1518 [-(65*x-2)/(64*x-1)/(x-1) ogf] A228081 6.93147 [-(3969*f(x)-3713)*(64*f(x)*x^2-65*f(x)*x+f(x)+65*x-2) ogf] A228081 7.99159 [{a(n+2)-65*a(n+1)+64*a(n),a(0)=2,a(1)=65} ogf] A228081 8.70878 [-(-4160*x^2+256*x-65)/(-4160*x^3+4353*x^2-195*x+2) lgdogf] A228105 4.73523 [-432*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A228124 6.88354 [(x^5+4*x^4+22*x^3+13*x^2+13*x+1)/(x+1)^3/(x-1)^4 ogf] A228137 13.4016 [(8*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A228137 6.75617 [-(384*f(x)+10361)*(f(x)*x^3-f(x)*x^2-f(x)*x-8*x^2+f(x)-3*x-1) ogf] A228137 7.23447 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A228137 9.96945 [-(8*x^3+14*x^2+22*x+4)/(8*x^4+3*x^3-7*x^2-3*x-1) lgdogf] A228138 8.07776 [(3*x^5-3*x^4-12*x^3+x^2-9*x-4)/(x+1)^2/(x-1)^3 ogf] A228141 13.3180 [(15*x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A228141 6.82413 [-(140*f(x)+4363)*(f(x)*x^3-f(x)*x^2-f(x)*x-15*x^2+f(x)-4*x-1) ogf] A228141 7.30725 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=21} ogf] A228141 9.71434 [-(15*x^3+23*x^2+37*x+5)/(15*x^4+4*x^3-14*x^2-4*x-1) lgdogf] A228142 7.87816 [-(-24*x^4-33*x^3-123*x^2-39*x-21)/(-12*x^5-7*x^4-8*x^3+6*x^2+20*x+1) lgdogf] A228142 9.41757 [-(12*x^3+7*x^2+20*x+1)/(x+1)^2/(x-1)^3 ogf] A228157 6.47126 [-(x^9-12*x^8-11*x^7-11*x^6-11*x^5-11*x^4-11*x^3-11*x^2-11*x-12)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A228158 14.0349 [2*(8*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A228158 6.95061 [-(-240*x^4-40*x^3+88*x^2+22*x+8)/(-80*x^5-10*x^4+88*x^3+11*x^2-8*x-1) lgdogf] A228158 7.37185 [(323559*f(x)-4006682)*(10*f(x)*x^4-11*f(x)*x^2+f(x)-16*x-2) ogf] A228173 17.1514 [x-1+exp(-x^2) revegf] A228180 5.97508 [f(x)^2*x^3-2*f(x)^2*x^2+4*f(x)*x^3+f(x)^2*x-11*f(x)*x^2+4*x^3+9*f(x)*x-5*x^2-2*f(x)+2*x ogf] A228197 4.07515 [{(-32*n-48)*a(n+1)+(32*n+60)*a(n+2)+(-10*n-24)*a(n+3)+(n+3)*a(n+4),a(0)=1,a(1)=2,a(2)=8,a(3)=36} ogf] A228197 4.52052 [-64*f(x)^2*x^4+96*f(x)^2*x^3-52*f(x)^2*x^2-32*f(x)*x^3+12*f(x)^2*x+40*f(x)*x^2-16*x^3-f(x)^2-16*f(x)*x+2*f(x)+4*x-1 ogf] A228203 6.45806 [-4*(x-1)*(3*x^6+13*x^5+68*x^4+260*x^3+68*x^2+13*x+3)/(x^4-36*x^2-1)/(x^4+36*x^2-1) ogf] A228204 6.35381 [(x+1)*(3*x^6+8*x^5+53*x^4+160*x^3+53*x^2+8*x+3)/(x^4-36*x^2-1)/(x^4+36*x^2-1) ogf] A228205 7.22392 [-(x-1)*(11*x^6+26*x^5+50*x^4+91*x^3+50*x^2+26*x+11)/(x^4+3*x^2-1)/(x^4-3*x^2-1) ogf] A228206 7.82177 [(x+1)*(x^6+2*x^5+4*x^4+7*x^3+4*x^2+2*x+1)/(x^4+3*x^2-1)/(x^4-3*x^2-1) ogf] A228207 11.5815 [-2*(x-1)*(7*x^2+15*x+7)/(x^2+x-1)/(x^2-x-1) ogf] A228207 7.26477 [(440*f(x)-1659)*(f(x)*x^4-3*f(x)*x^2+14*x^3+16*x^2+f(x)-16*x-14) ogf] A228208 12.1440 [(x+1)*(x^2+x+1)/(x^2+x-1)/(x^2-x-1) ogf] A228208 7.66365 [(176*f(x)-1)*(f(x)*x^4-3*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A228209 9.03448 [-(7*x^5+13*x^4+57*x^3-13*x^2-7*x-3)/(x^6-38*x^3+1) ogf] A228210 12.2771 [-(x-1)*(7*x^2+15*x+7)/(x^2+x-1)/(x^2-x-1) ogf] A228210 7.25466 [-(880*f(x)-1659)*(f(x)*x^4-3*f(x)*x^2+7*x^3+8*x^2+f(x)-8*x-7) ogf] A228212 5.10491 [(15559467*f(x)+1303412785)*(72*x^4+6*f(x)*x^2+36*x^3-5*f(x)*x-8*x^2+f(x)-4*x-9) ogf] A228212 9.13130 [-(72*x^4+36*x^3-8*x^2-4*x-9)/(3*x-1)/(2*x-1) ogf] A228213 6.15117 [-(1728*x^6+1584*x^5+504*x^4-12*x^3-60*x^2-12*x-13)/(4*x-1)/(3*x-1) ogf] A228214 4.42844 [-(57600*x^8+66240*x^7+33408*x^6+8688*x^5+624*x^4-384*x^3-176*x^2-24*x-17)/(5*x-1)/(4*x-1) ogf] A228219 11.7077 [-(-x^2-10*x-49)/(-x^3-3*x^2-11*x+15) lgdogf] A228219 12.8407 [-(x^2+4*x+15)/(x-1)^3 ogf] A228219 6.57953 [(42425*f(x)-597171)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+15) ogf] A228219 6.86314 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=49,a(2)=103} ogf] A228220 4.52361 [(5879536000*f(x)+403061820263)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-15*x^2+f(x)-75*x-31) ogf] A228220 8.13234 [-(-x^3+27*x^2+255*x+199)/(-x^4+16*x^3+60*x^2-44*x-31) lgdogf] A228220 9.04722 [-(x^3-15*x^2-75*x-31)/(x-1)^4 ogf] A228221 7.16802 [-(x^4-30*x^3+456*x^2+350*x+63)/(x-1)^5 ogf] A228222 5.43347 [-(x^5+475*x^4-2168*x^3-3604*x^2-1297*x-127)/(x-1)^6 ogf] A228223 4.23974 [-(x^6-4616*x^5+8989*x^4+31136*x^3+20195*x^2+4520*x+255)/(x-1)^7 ogf] A228224 3.49217 [-(x^7+40313*x^6-16749*x^5-252785*x^4-256585*x^3-103401*x^2-15083*x-511)/(x-1)^8 ogf] A228229 4.24982 [{(n^2+5*n+6)*a(n+1)+(-n^2-7*n-13)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=19} ogf] A228230 4.15371 [{(-n^2-5*n-6)*a(n+1)+(n^2+7*n+14)*a(n+2)-2*a(n+3),a(0)=1,a(1)=2,a(2)=7} ogf] A228254 4.46035 [(6188872553721*f(x)+1584313496156311)*(264*x^4+6*f(x)*x^2+188*x^3-5*f(x)*x-8*x^2+f(x)-58*x-17) ogf] A228254 8.44492 [-(264*x^4+188*x^3-8*x^2-58*x-17)/(3*x-1)/(2*x-1) ogf] A228255 5.75418 [-(768*x^6+2720*x^5+8488*x^4-184*x^3-578*x^2-144*x-25)/(4*x-1)/(3*x-1) ogf] A228256 4.90740 [-(57600*x^7+163840*x^6+86008*x^5+35854*x^4-6844*x^3-1994*x^2-268*x-33)/(5*x-1)/(4*x-1) ogf] A228261 10.9398 [-(6*x^3-17*x^2+50*x+31)/(x-1)^3 ogf] A228261 5.66665 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=31,a(1)=143,a(2)=319,a(3)=565} ogf] A228261 5.83456 [(2029825*f(x)-82758411)*(f(x)*x^3-3*f(x)*x^2+6*x^3+3*f(x)*x-17*x^2-f(x)+50*x+31) ogf] A228261 9.97044 [-(-x^2-66*x-143)/(-6*x^4+23*x^3-67*x^2+19*x+31) lgdogf] A228262 6.15257 [-(40*x^7-80*x^6-30*x^5+84*x^4+151*x^3-405*x^2-369*x-63)/(x-1)^4 ogf] A228263 3.28391 [-(648*x^12-1952*x^11+1016*x^10+1856*x^9-1496*x^8-514*x^7-1188*x^6+4468*x^5-5211*x^4+2970*x^3+4908*x^2+1424*x+127)/(x-1)^5 ogf] A228278 9.53820 [-(x^3-x-2)/(x+1)/(x^4-x^3-3*x^2-2*x+1) ogf] A228279 5.34877 [(x-1)*(2*x^3-5*x^2-6*x-3)/(x^8-3*x^7+x^6+6*x^5-4*x^4-15*x^3-10*x^2-x+1) ogf] A228290 6.18707 [-6*x*(7*x^4+42*x^3+56*x^2+14*x+1)/(x-1)^7 ogf] A228290 7.04639 [-(21*x^4+196*x^3+406*x^2+196*x+21)/(7*x^5+35*x^4+14*x^3-42*x^2-13*x-1) lgdogf] A228291 4.95453 [x*(x^6+78*x^5+981*x^4+2332*x^3+1443*x^2+198*x+7)/(x-1)^8 ogf] A228292 4.34831 [-2*x*(85*x^6+1695*x^5+7134*x^4+8254*x^3+2769*x^2+219*x+4)/(x-1)^9 ogf] A228293 3.45054 [x*(x^8+332*x^7+11388*x^6+77356*x^5+153950*x^4+99204*x^3+19708*x^2+932*x+9)/(x-1)^10 ogf] A228305 11.1833 [(5*f(x)-7)*(2*f(x)*x^2-x^2-f(x)+4*x+3) ogf] A228305 11.4897 [-(8*x^2+10*x+4)/(-2*x^4+8*x^3+7*x^2-4*x-3) lgdogf] A228305 17.1173 [(x^2-4*x-3)/(2*x^2-1) ogf] A228305 9.98510 [{a(n+3)-2*a(n+1),a(0)=3,a(1)=4,a(2)=5} ogf] A228306 3.95680 [{(9*n^2+81*n+126)*a(n+1)+(-29*n^2-285*n-586)*a(n+2)+(20*n^2+160*n+300)*a(n+3),a(0)=75,a(1)=165,a(2)=315} ogf] A228306 7.37579 [-3*(9*x^4-43*x^3+80*x^2-70*x+25)/(x-1)^5 ogf] A228307 3.96944 [{(13*n^2+117*n+182)*a(n+1)+(-34*n^2-317*n-633)*a(n+2)+(21*n^2+168*n+315)*a(n+3),a(0)=105,a(1)=225,a(2)=420} ogf] A228307 7.44269 [-3*(13*x^4-62*x^3+115*x^2-100*x+35)/(x-1)^5 ogf] A228310 10.2420 [-2*(32*x^2-24*x+5)/(4*x-1)^3 ogf] A228310 5.71843 [(57*f(x)-250)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+64*x^2-f(x)-48*x+10) ogf] A228310 5.76648 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=10,a(1)=72,a(2)=448} ogf] A228310 9.27312 [-(-128*x^2+128*x-36)/(-128*x^3+128*x^2-44*x+5) lgdogf] A228316 3.64291 [-2*x*(x^8+7*x^7+74*x^6+132*x^5+280*x^4+183*x^3+132*x^2+26*x+5)/(x+1)^5/(x-1)^7 ogf] A228317 16.2934 [-(8*x+7)/(2*x^2-x-1) lgdogf] A228317 5.28434 [{(n+1)*a(n+3)+(-7+n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A228317 9.89977 [-3*x^2*(2*x+1)/(x-1)^5 ogf] A228318 10.0467 [-(5*x^2-12*x+15)/(x-1)^3 ogf] A228318 5.31882 [(3000*f(x)-6169)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-12*x+15) ogf] A228318 5.50383 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=33,a(2)=59} ogf] A228318 9.17306 [-(-5*x^2+14*x-33)/(-5*x^3+17*x^2-27*x+15) lgdogf] A228319 10.4411 [-(-7*x^2+16*x-45)/(-7*x^3+22*x^2-35*x+20) lgdogf] A228319 11.4354 [-(7*x^2-15*x+20)/(x-1)^3 ogf] A228319 5.80994 [(435888*f(x)-1018837)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-15*x+20) ogf] A228319 6.26463 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=45,a(2)=82} ogf] A228320 10.6079 [-(138*x^2-329*x+203)/(x-1)^3 ogf] A228320 5.42543 [(2454192*f(x)+378199735)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+138*x^2-f(x)-329*x+203) ogf] A228320 6.02314 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=203,a(1)=280,a(2)=369} ogf] A228320 9.11194 [-(-138*x^2+382*x-280)/(-138*x^3+467*x^2-532*x+203) lgdogf] A228321 10.0624 [-(11*x^2-8*x+33)/(x^4+7*x^3-20*x^2+27*x-15) lgdogf] A228321 10.9128 [-(x^3+8*x^2-12*x+15)/(x-1)^3 ogf] A228321 5.65553 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=15,a(1)=33,a(2)=62,a(3)=103} ogf] A228321 5.91456 [(249264*f(x)+739075)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+8*x^2-f(x)-12*x+15) ogf] A228322 6.35728 [-(320*x^4-560*x^3+400*x^2-124*x+15)/(4*x-1)/(2*x-1)^4 ogf] A228329 3.96775 [{(-320*n^2-960*n-700)*a(n+1)+(52*n^2+262*n+340)*a(n+2)+(-2*n^2-13*n-21)*a(n+3),a(0)=1,a(1)=8,a(2)=98} ogf] A228338 5.45982 [{(-3*n-6)*a(n+1)+(-2*n-13)*a(n+2)+(n+7)*a(n+3),a(0)=5,a(1)=9,a(2)=19} ogf] A228338 7.61369 [f(x)^2*x^4+7*f(x)*x^3+3*f(x)*x^2-f(x)*x+13*x^2-f(x)+14*x+5 ogf] A228344 12.0234 [(x-2)*(x^2+x+1)/(x+1)/(x-1)^3 ogf] A228344 6.80012 [(31*f(x)-206)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)+x+2) ogf] A228344 9.32153 [-(x^4-2*x^2-12*x-5)/(x^5-x^4-2*x^3-x^2+x+2) lgdogf] A228357 6.85579 [-(4*x^28-4*x^27+4*x^26-4*x^25+4*x^6-4*x^5+4*x^4-4*x^3+3*x^2-3*x-1)/(x-1)^2 ogf] A228361 10.3620 [-(-x^3-3*x^2-2*x-2)/(-x^4-2*x^3-x^2+x+1) lgdogf] A228361 12.7532 [-x^2*(x+1)^2/(x^3+x^2-1) ogf] A228361 6.68515 [{-a(n+5)+a(n+3)+a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=2} ogf] A228361 8.54596 [-f(x)*(f(x)*x^3+x^4+f(x)*x^2+2*x^3+x^2-f(x)) ogf] A228362 8.08746 [-x^3*(x^2+x+1)^2/(x^2+1)/(x^3+x^2-1) ogf] A228364 10.1700 [-(4*x^3+8*x^2+4*x+2)/(x^4+2*x^3+x^2-x-1) lgdogf] A228364 9.14158 [x^2*(x+1)^2/(x^3+x^2-1)^2 ogf] A228385 10.3156 [-(x+1)*(x-2)/(x^4-6*x^2-2*x+1) ogf] A228385 5.20045 [-(38774*f(x)+841)*(f(x)*x^4-6*f(x)*x^2-2*f(x)*x+x^2+f(x)-x-2) ogf] A228386 7.44216 [-(x^3-3*x^2+3)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) ogf] A228387 3.89992 [-(x^7-2*x^6-14*x^5+39*x^4-12*x^3-28*x^2+9*x+5)/(x^9-4*x^8-20*x^7+64*x^6+15*x^5-105*x^4+36*x^2+4*x-1) ogf] A228392 7.05472 [-(x^6-6*x^5+19*x^4-12*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A228393 3.91988 [-(x^9-9*x^8-17*x^7-263*x^6-3*x^5-120*x^4+66*x^3-31*x^2+8*x-1)/(x-1)^10 ogf] A228394 8.73682 [-(x^4+x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A228394 9.76468 [-(-x^4-6*x^3-21*x^2-2)/(-x^5-5*x^3+9*x^2-4*x+1) lgdogf] A228395 5.75886 [-(x^6+52*x^5+39*x^4-11*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A228396 7.09608 [-(x^6-x^5-2*x^4+2*x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A228397 4.96988 [-(2*x^9+5*x^8+12*x^7-74*x^6+51*x^5+41*x^4-11*x^3+13*x^2-5*x+1)/(x-1)^7 ogf] A228398 8.89746 [(x^5-3*x^4+5*x^3+4*x^2-2*x+1)/(x-1)^4 ogf] A228399 4.62099 [(x^10-5*x^9-2*x^8+44*x^7-24*x^6-80*x^5-43*x^4+11*x^3-13*x^2+5*x-1)/(x-1)^7 ogf] A228401 4.75010 [-(x^8-8*x^7+28*x^6-54*x^5+78*x^4-42*x^3+24*x^2-7*x+1)/(x-1)^9 ogf] A228403 5.74422 [{(-12*n^2-18*n)*a(n)+(-n^2-9*n-20)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=4} ogf] A228403 9.87488 [-f(x)^2*x^2-2*f(x)*x^2-4*f(x)*x-x^2+2*f(x)-4*x-2 ogf] A228406 11.7883 [-(20*x^2+60*x+16)/(5*x^3+5*x^2-9*x-1) lgdogf] A228406 3.89073 [{(n+3)*a(n+4)+(2+9*n)*a(n+3)+(-65-5*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=0,a(1)=24,a(2)=384,a(3)=2064} ogf] A228406 8.14245 [24*x*(5*x^2+10*x+1)/(x-1)^6 ogf] A228411 11.7303 [4/(1-32*x)^(1/2)/(1+(1-32*x)^(1/2)) lgdogf] A228411 5.68185 [{(-128*n^2-352*n-234)*a(n+1)+(4*n^2+17*n+18)*a(n+2),a(0)=1,a(1)=2} ogf] A228423 7.80293 [-x^3*(441*x^29+196*x^24-625*x^21-225*x^5-100)/(x-1)/(7*x^12+5)/(7*x^12-5) ogf] A228462 6.33394 [-(x^5-6*x^4+14*x^3-19*x^2+11*x-17)/(x-1)^6 ogf] A228463 5.31679 [-(x^6-7*x^5+22*x^4-27*x^3+22*x^2-6*x+27)/(x-1)^7 ogf] A228464 4.55346 [-(x^7-8*x^6+28*x^5-75*x^4+54*x^3+11*x^2-31*x-44)/(x-1)^8 ogf] A228469 12.1920 [-(x^3+x^2+8*x+2)/(x^4+6*x^2-1) ogf] A228469 7.27045 [(89916*f(x)+15505)*(f(x)*x^4+6*f(x)*x^2+x^3+x^2-f(x)+8*x+2) ogf] A228470 12.8886 [-(2*x^3+11*x+3)/(x^4+6*x^2-1) ogf] A228470 7.25767 [(173084*f(x)-24267)*(f(x)*x^4+6*f(x)*x^2+2*x^3-f(x)+11*x+3) ogf] A228471 12.1397 [-(x^3+x^2+5*x+3)/(x^4+6*x^2-1) ogf] A228471 7.44413 [(5198*f(x)+369)*(f(x)*x^4+6*f(x)*x^2+x^3+x^2-f(x)+5*x+3) ogf] A228472 13.2920 [-(x^3+8*x+5)/(x^4+6*x^2-1) ogf] A228472 7.42786 [(207920*f(x)-55979)*(f(x)*x^4+6*f(x)*x^2+x^3-f(x)+8*x+5) ogf] A228477 9.63264 [-(x^3-2*x-2)/(x+1)/(x^4-x^3-3*x^2-2*x+1) ogf] A228478 4.73807 [-(x^6-3*x^5+x^4+4*x^3-2*x^2-6*x-3)/(x^8-3*x^7+x^6+6*x^5-4*x^4-15*x^3-10*x^2-x+1) ogf] A228479 4.08703 [-(x^7-6*x^5+16*x^4-18*x^3-5*x^2+4*x+5)/(x^9-8*x^7+19*x^6-20*x^5-11*x^4+16*x^3+15*x^2+3*x-1) ogf] A228484 12.0346 [hypergeom([1/3,2/3],[1/2],27/2*x) ogf] A228484 12.4644 [-54*f(x)^3*x+4*f(x)^3-3*f(x)-1 ogf] A228484 5.67484 [{(27*n^2+81*n+60)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=6} ogf] A228494 6.17850 [x^3*(x^2+x+1)^2/(x^2+1)^2/(x^3+x^2-1)^2 ogf] A228501 12.7481 [-(x-2)/(2*x^3-3*x^2-2*x+1) ogf] A228501 5.97918 [{a(n+3)-2*a(n+2)-3*a(n+1)+2*a(n),a(0)=2,a(1)=3,a(2)=12} ogf] A228501 6.25599 [(4621*f(x)+676)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+f(x)+x-2) ogf] A228501 8.23960 [-(-4*x^3+15*x^2-12*x-3)/(-2*x^4+7*x^3-4*x^2-5*x+2) lgdogf] A228502 4.48928 [-(764518*f(x)+105459)*(3*f(x)*x^4+2*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+2*x^2+f(x)+x-3) ogf] A228502 9.30386 [-(2*x+3)*(x-1)/(3*x^4+2*x^3-7*x^2-2*x+1) ogf] A228503 6.18208 [-(2*x^4+x^3-14*x^2+x+5)/(4*x^6+x^5-27*x^4+x^3+16*x^2+2*x-1) ogf] A228504 4.13696 [-(18*x^6+24*x^5-63*x^4-41*x^3+64*x^2+3*x-8)/(32*x^8+42*x^7-116*x^6-85*x^5+138*x^4+17*x^3-30*x^2-3*x+1) ogf] A228510 6.76470 [-(-2905*x^4-37900*x^3-87102*x^2-45436*x-4065)/(-415*x^5-4115*x^4-3638*x^3+5258*x^2+2805*x+105) lgdogf] A228513 4.75389 [{(-2*n^2-8*n-8)*a(n+1)+(n^2+6*n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=16} ogf] A228521 5.09226 [(192129002*f(x)+686175)*(f(x)*x^2-19602*f(x)*x+f(x)-70*x-70) ogf] A228522 4.73309 [-(384218800*f(x)-254787)*(f(x)*x^2-19602*f(x)*x+f(x)+13*x-13) ogf] A228535 4.41442 [(8777926250*f(x)+12057591)*(f(x)*x^2-132498*f(x)*x+f(x)-182*x-182) ogf] A228536 4.19827 [-(17555587504*f(x)-3312375)*(f(x)*x^2-132498*f(x)*x+f(x)+25*x-25) ogf] A228537 5.30029 [(1537149640*f(x)+3881691)*(f(x)*x^2-39206*f(x)*x+f(x)-99*x-99) ogf] A228538 4.98541 [-(1537071228*f(x)-509639)*(f(x)*x^2-39206*f(x)*x+f(x)+13*x-13) ogf] A228546 4.69547 [(54737800*f(x)+318243)*(f(x)*x^2-7398*f(x)*x+f(x)-43*x-43) ogf] A228547 4.44868 [-(54723004*f(x)-36975)*(f(x)*x^2-7398*f(x)*x+f(x)+5*x-5) ogf] A228564 9.54654 [-(x^5+5*x^4+2*x^3+2*x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A228568 10.3035 [-(-32*x^2+16*x-4)/(-32*x^3+40*x^2-12*x+1) lgdogf] A228568 15.7986 [-2*(4*x-1)/(8*x^2-8*x+1) ogf] A228568 7.98809 [-(7*f(x)-6)*(8*f(x)*x^2-8*f(x)*x+f(x)+8*x-2) ogf] A228568 8.66999 [{a(n+2)-8*a(n+1)+8*a(n),a(0)=2,a(1)=8} ogf] A228569 10.7762 [-(-15*x^2+12*x-5)/(-15*x^3+31*x^2-15*x+2) lgdogf] A228569 16.5236 [-(5*x-2)/(3*x^2-5*x+1) ogf] A228569 8.26178 [-(13*f(x)-1)*(3*f(x)*x^2-5*f(x)*x+f(x)+5*x-2) ogf] A228569 9.06782 [{a(n+2)-5*a(n+1)+3*a(n),a(0)=2,a(1)=5} ogf] A228571 5.42658 [-(x+1)*(x^9-x^8+x^7+x^3-x^2+x-1)/(x^5+x^2-1)/(x^10+x^4-1) ogf] A228577 12.2984 [x/(x^3+x^2-1)^2 ogf] A228577 14.2750 [-(6*x^2+4*x)/(x^3+x^2-1) lgdogf] A228577 4.99624 [{(n+3)*a(n+4)+(-5-n)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=1,a(2)=0,a(3)=2} ogf] A228581 7.22991 [-x^3*(x^3+11*x^2+3*x+1)/(x-1)^7 ogf] A228581 9.81202 [-(-4*x^3-58*x^2-40*x-10)/(-x^4-10*x^3+8*x^2+2*x+1) lgdogf] A228583 5.64821 [-x^4*(3*x^4+18*x^3+36*x^2+6*x+1)/(x-1)^9 ogf] A228583 7.54854 [-(-15*x^4-120*x^3-306*x^2-120*x-15)/(-3*x^5-15*x^4-18*x^3+30*x^2+5*x+1) lgdogf] A228597 11.1036 [-(29*x^2+22*x+141)/(x-1)^3 ogf] A228597 5.77389 [(45576*f(x)-4637299)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+29*x^2-f(x)+22*x+141) ogf] A228597 6.11641 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=141,a(1)=445,a(2)=941} ogf] A228597 9.75319 [-(-29*x^2-102*x-445)/(-29*x^3+7*x^2-119*x+141) lgdogf] A228598 11.0230 [-(68*x^2-183*x+141)/(x-1)^3 ogf] A228598 5.63967 [(4650204*f(x)+70485611)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+68*x^2-f(x)-183*x+141) ogf] A228598 6.16541 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=141,a(1)=240,a(2)=365} ogf] A228598 9.57261 [-(-68*x^2+230*x-240)/(-68*x^3+251*x^2-324*x+141) lgdogf] A228600 5.18524 [-(14*x^6-13*x^5-43*x^4+38*x^3+48*x^2-65*x-27)/(x+1)^3/(x-1)^4 ogf] A228602 14.5345 [-(12*x+17)/(4*x^2+4*x-1) ogf] A228602 7.26724 [-(57*f(x)-169)*(4*f(x)*x^2+4*f(x)*x-f(x)+12*x+17) ogf] A228602 8.13238 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=17,a(1)=80} ogf] A228602 9.35781 [-(-48*x^2-136*x-80)/(-48*x^3-116*x^2-56*x+17) lgdogf] A228603 10.4367 [-(-32*x^2-72*x-44)/(-32*x^3-68*x^2-28*x+9) lgdogf] A228603 16.2349 [-(8*x+9)/(4*x^2+4*x-1) ogf] A228603 8.39736 [(31*f(x)-37)*(4*f(x)*x^2+4*f(x)*x-f(x)+8*x+9) ogf] A228603 8.80204 [{a(n+2)-4*a(n+1)-4*a(n),a(0)=9,a(1)=44} ogf] A228604 13.5897 [-(50*x-18)/(25*x^2-18*x+1) lgdogf] A228604 20.1905 [1/(25*x^2-18*x+1) ogf] A228604 8.21704 [(137*f(x)+25)*(25*f(x)*x^2-18*f(x)*x+f(x)-1) ogf] A228604 8.31372 [{-a(n+2)+18*a(n+1)-25*a(n),a(0)=1,a(1)=18} ogf] A228605 10.1793 [-(-22*x^2-22*x-18)/(-22*x^3-43*x^2-14*x+1) lgdogf] A228605 15.1607 [-(2*x+1)/(11*x^2+16*x-1) ogf] A228605 8.00623 [(155*f(x)+7)*(11*f(x)*x^2+16*f(x)*x-f(x)+2*x+1) ogf] A228605 8.38299 [{a(n+2)-16*a(n+1)-11*a(n),a(0)=1,a(1)=18} ogf] A228606 11.7186 [-(7*x^2+14*x-18)/(7*x^3-10*x^2-16*x+1) lgdogf] A228606 17.3231 [(x+1)/(7*x^2-17*x+1) ogf] A228606 9.15937 [(73*f(x)+8)*(7*f(x)*x^2-17*f(x)*x+f(x)-x-1) ogf] A228606 9.48648 [{-a(n+2)+17*a(n+1)-7*a(n),a(0)=1,a(1)=18} ogf] A228655 11.7729 [-2*(x-1)/(3*x^3+3*x^2-5*x+1) ogf] A228655 5.52180 [{-a(n+3)+5*a(n+2)-3*a(n+1)-3*a(n),a(0)=2,a(1)=8,a(2)=34} ogf] A228655 5.99965 [(8*f(x)-13)*(3*f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)+2*x-2) ogf] A228655 8.66615 [-(6*x^3-6*x^2-6*x+4)/(3*x^4-8*x^2+6*x-1) lgdogf] A228656 11.2590 [-(4*x-3)/(8*x^3+2*x^2-6*x+1) ogf] A228656 5.23444 [{a(n+3)-6*a(n+2)+2*a(n+1)+8*a(n),a(0)=3,a(1)=14,a(2)=78} ogf] A228656 5.28076 [-(1197*f(x)+1544)*(8*f(x)*x^3+2*f(x)*x^2-6*f(x)*x+f(x)+4*x-3) ogf] A228656 6.78098 [-(-64*x^3+64*x^2+12*x-14)/(-32*x^4+16*x^3+30*x^2-22*x+3) lgdogf] A228657 5.48368 [-(3*x^4-10*x^3-14*x^2+22*x-5)/(5*x^6-20*x^5-49*x^4+32*x^3+27*x^2-12*x+1) ogf] A228658 4.01371 [-4*(8*x^5-3*x^4-23*x^3+4*x^2+8*x-2)/(48*x^7-103*x^6-352*x^5-59*x^4+142*x^3+17*x^2-14*x+1) ogf] A228661 14.8094 [-(-6*x-1)/(-3*x^2-x+1) lgdogf] A228661 21.5409 [-2/(3*x^2+x-1) ogf] A228661 8.56446 [(19*f(x)-36)*(3*f(x)*x^2+f(x)*x-f(x)+2) ogf] A228661 8.66891 [{-a(n+2)+a(n+1)+3*a(n),a(0)=2,a(1)=2} ogf] A228662 12.5111 [-(3*x-4)/(5*x^3-6*x^2-2*x+1) ogf] A228662 5.76599 [(4300231*f(x)+1132520)*(5*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+f(x)+3*x-4) ogf] A228662 5.86804 [{a(n+3)-2*a(n+2)-6*a(n+1)+5*a(n),a(0)=4,a(1)=5,a(2)=34} ogf] A228662 7.62171 [-(-30*x^3+78*x^2-48*x-5)/(-15*x^4+38*x^3-18*x^2-11*x+4) lgdogf] A228663 4.30685 [-(82602041*f(x)+39432528)*(18*f(x)*x^4+7*f(x)*x^3-16*f(x)*x^2-2*f(x)*x+12*x^2+f(x)+4*x-8) ogf] A228663 8.97260 [-4*(x+1)*(3*x-2)/(18*x^4+7*x^3-16*x^2-2*x+1) ogf] A228664 4.31704 [-(66*x^5-29*x^4-162*x^3+86*x^2+35*x-16)/(102*x^7-45*x^6-258*x^5+134*x^4+76*x^3-34*x^2-4*x+1) ogf] A228676 23.3898 [-(f(x)-1)^3 ogf] A228678 10.6401 [-(3*x^2+6*x-5)/(3*x^3+3*x^2-5*x+1) ogf] A228678 5.54741 [-(53*f(x)-95)*(3*f(x)*x^3+3*f(x)*x^2-5*f(x)*x+3*x^2+f(x)+6*x-5) ogf] A228678 5.69339 [{a(n+3)-5*a(n+2)+3*a(n+1)+3*a(n),a(0)=5,a(1)=19,a(2)=77} ogf] A228679 4.85515 [(439*f(x)+1276)*(8*f(x)*x^3+2*f(x)*x^2-6*f(x)*x+8*x^2+f(x)+8*x-8) ogf] A228679 4.89737 [{-a(n+3)+6*a(n+2)-2*a(n+1)-8*a(n),a(0)=8,a(1)=40,a(2)=216} ogf] A228679 9.23274 [-8*(x^2+x-1)/(8*x^3+2*x^2-6*x+1) ogf] A228680 5.21515 [-(5*x^5-15*x^4-64*x^3+4*x^2+59*x-13)/(5*x^6-20*x^5-49*x^4+32*x^3+27*x^2-12*x+1) ogf] A228681 3.81018 [-(48*x^6-55*x^5-407*x^4-242*x^3+152*x^2+77*x-21)/(48*x^7-103*x^6-352*x^5-59*x^4+142*x^3+17*x^2-14*x+1) ogf] A228684 10.5240 [-(5*x^2-x-8)/(5*x^3-6*x^2-2*x+1) ogf] A228684 5.13573 [(37347899*f(x)+45727545)*(5*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+5*x^2+f(x)-x-8) ogf] A228684 5.63128 [{a(n+3)-2*a(n+2)-6*a(n+1)+5*a(n),a(0)=8,a(1)=17,a(2)=77} ogf] A228685 3.68644 [(16984203838615*f(x)-291514108806)*(18*f(x)*x^4+7*f(x)*x^3-16*f(x)*x^2+18*x^3-2*f(x)*x+25*x^2+f(x)-9*x-16) ogf] A228685 7.46279 [-(x+1)*(18*x^2+7*x-16)/(18*x^4+7*x^3-16*x^2-2*x+1) ogf] A228686 4.08160 [-(102*x^6+57*x^5-303*x^4-118*x^3+207*x^2+29*x-32)/(102*x^7-45*x^6-258*x^5+134*x^4+76*x^3-34*x^2-4*x+1) ogf] A228693 14.1653 [-(x^4+x^3+x^2-x-1)/(x-1)/(x+1)/(2*x^2-1) ogf] A228693 7.95438 [-(-2*x^6-10*x^5+3*x^4+12*x^3-4*x-1)/(-2*x^8-2*x^7+x^6+5*x^5+4*x^4-4*x^3-4*x^2+x+1) lgdogf] A228693 8.20690 [{-a(n+5)+3*a(n+3)-2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=2,a(4)=3} ogf] A228693 9.40064 [(2*f(x)-13)*(2*f(x)*x^4+x^4-3*f(x)*x^2+x^3+x^2+f(x)-x-1) ogf] A228700 15.4506 [8*x^3/(6*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A228700 8.74562 [-384*f(x)*x^4+400*f(x)*x^3-140*f(x)*x^2+8*x^3+20*f(x)*x-f(x) ogf] A228700 9.65664 [-(-1536*x^3+1200*x^2-280*x+20)/(-384*x^4+400*x^3-140*x^2+20*x-1) lgdogf] A228701 12.0063 [48*f(x)*x^3-44*f(x)*x^2+12*f(x)*x+4*x^2-f(x) ogf] A228701 14.2046 [-(144*x^2-88*x+12)/(48*x^3-44*x^2+12*x-1) lgdogf] A228701 21.0110 [-4*x^2/(6*x-1)/(2*x-1)/(4*x-1) ogf] A228701 8.92504 [{a(n+3)-12*a(n+2)+44*a(n+1)-48*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A228702 5.13603 [x*(x^2+1)*(x^2+4*x+1)/(x^3+x^2+3*x-1)^2/(x^3-x^2-x-1)^2 ogf] A228705 7.00528 [(x^4-2*x^3+4*x^2-2*x+1)/(x^2+1)^2/(x-1)^4 ogf] A228706 6.84603 [(x^4-3*x^3+5*x^2-3*x+1)/(x^2+1)^2/(x-1)^4 ogf] A228707 4.03491 [(x^2-x+1)*(x^6-2*x^5+2*x^4-x^3+2*x^2-2*x+1)/(x^4+1)/(x^2+1)^2/(x-1)^4 ogf] A228733 12.8063 [-2*(x^2-x+1)*(x+1)/(x^5-x^3+2*x-1) ogf] A228733 7.29957 [-(-2*x^7-5*x^4+4*x^3-2)/(-x^8+x^6-x^5-2*x^4+2*x^3-2*x+1) lgdogf] A228741 7.29712 [-(-x^4+6*x^3-6*x^2-2*x-77)/(-x^5+6*x^4-12*x^3+10*x^2-19*x+16) lgdogf] A228741 7.67718 [-(x^4-5*x^3+7*x^2-3*x+16)/(x-1)^5 ogf] A228742 6.12216 [-(x^5-6*x^4+18*x^3-6*x^2-17*x-28)/(x-1)^6 ogf] A228743 5.03050 [-(x^6-7*x^5+24*x^4-70*x^3-7*x^2+97*x+50)/(x-1)^7 ogf] A228744 4.54865 [-(x^7-8*x^6+21*x^5-86*x^4+353*x^3-26*x^2-367*x-88)/(x-1)^8 ogf] A228745 99.9999 Evaluated at exp(-Pi) 9/16*Pi/GAMMA(3/4)^4 A228746 99.9999 Evaluated at exp(-Pi) 9/2*Pi/GAMMA(3/4)^4 A228748 5.4858 [(350*f(x)-1359)*(f(x)*x^4+3*f(x)*x^3+2*x^3-3*f(x)*x+x^2+f(x)-6*x+2) ogf] A228748 9.85855 [-(2*x^3+x^2-6*x+2)/(x^2+x-1)/(x^2+2*x-1) ogf] A228750 4.85862 [(16388*f(x)+1413)*(4*f(x)*x^3-12*f(x)*x^2+8*f(x)*x+2*x^2-f(x)-4*x+3) ogf] A228750 4.98428 [{a(n+3)-8*a(n+2)+12*a(n+1)-4*a(n),a(0)=3,a(1)=20,a(2)=126} ogf] A228750 9.32542 [-(2*x^2-4*x+3)/(4*x^3-12*x^2+8*x-1) ogf] A228751 3.13532 [-(246233210728*f(x)-128239134245)*(5*f(x)*x^4-29*f(x)*x^3-2*x^4+36*f(x)*x^2+12*x^3-13*f(x)*x-12*x^2+f(x)+15*x-5) ogf] A228751 6.09836 [(2*x^4-12*x^3+12*x^2-15*x+5)/(x-1)/(5*x^3-24*x^2+12*x-1) ogf] A228752 4.26552 [(78*x^5-218*x^4+114*x^3-109*x^2+49*x-8)/(36*x^5-157*x^4+217*x^3-112*x^2+21*x-1) ogf] A228755 11.3741 [-(x-2)*(x+2)/(x^4-6*x^2-2*x+1) ogf] A228755 5.63759 [(73919*f(x)+14336)*(f(x)*x^4-6*f(x)*x^2-2*f(x)*x+x^2+f(x)-4) ogf] A228755 6.48322 [-(-2*x^5+16*x^3-2*x^2-46*x-8)/(-x^6+10*x^4+2*x^3-25*x^2-8*x+4) lgdogf] A228756 4.00144 [-(x^6-5*x^5-4*x^4+24*x^3+13*x^2-13*x-8)/(x+1)/(x^2-2*x-1)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) ogf] A228767 4.23392 [(-961+57672*f(x))*(16*f(x)*x^4-40*f(x)*x^3+8*x^4+33*f(x)*x^2-2*x^3-10*f(x)*x+21*x^2+f(x)-11*x+2) ogf] A228767 7.30466 [-(8*x^4-2*x^3+21*x^2-11*x+2)/(4*x-1)^2/(x-1)^2 ogf] A228791 12.0687 [2*(x^2-x+1)/(3*x^2-5*x+1) ogf] A228791 6.21010 [{-a(n+3)+5*a(n+2)-3*a(n+1),a(0)=2,a(1)=8,a(2)=36} ogf] A228791 6.73306 [(23*f(x)+18)*(3*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+2*x-2) ogf] A228791 8.88389 [-(2*x^2+4*x-4)/(3*x^4-8*x^3+9*x^2-6*x+1) lgdogf] A228792 4.17653 [{a(n+4)-8*a(n+3)+12*a(n+2)-4*a(n+1),a(0)=3,a(1)=16,a(2)=97,a(3)=586} ogf] A228792 4.33473 [(369592*f(x)-1951497)*(4*f(x)*x^3-12*f(x)*x^2-10*x^3+8*f(x)*x+5*x^2-f(x)-8*x+3) ogf] A228792 8.05893 [(10*x^3-5*x^2+8*x-3)/(4*x^3-12*x^2+8*x-1) ogf] A228793 5.44070 [-(18*x^5-106*x^4+19*x^3-45*x^2+23*x-5)/(x-1)/(5*x^3-24*x^2+12*x-1) ogf] A228794 3.79632 [-2*(555*x^6-1256*x^5+58*x^4-280*x^3+116*x^2-35*x+4)/(36*x^5-157*x^4+217*x^3-112*x^2+21*x-1) ogf] A228797 11.5322 [-(3*x^2+6*x+1)/(x^3+3*x^2+x-1) lgdogf] A228797 18.0015 [-2/(x+1)/(x^2+2*x-1) ogf] A228797 6.58982 [{-a(n+3)+a(n+2)+3*a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=8} ogf] A228797 7.23588 [(119*f(x)+50)*(f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)+2) ogf] A228798 7.51515 [-(3*x^3+x^2-x-4)/(x+1)/(x^4-6*x^2-2*x+1) ogf] A228799 4.36165 [(7*x^6-33*x^5+12*x^4-46*x^3-17*x^2+5*x+8)/(x+1)/(x^2-2*x-1)/(x^5-4*x^4-5*x^3+9*x^2+4*x-1) ogf] A228826 10.1549 [-(-x^2+4*x+1)/(-x^3+2*x^2-x+2) lgdogf] A228826 10.1549 [{-a(n+2)-a(n),a(0)=2,a(1)=-1} ogf] A228826 14.4425 [f(x)*x^2+f(x)+x-2 ogf] A228826 15.8516 [-(x-2)/(x^2+1) ogf] A228831 11.9793 [-(6*x^3-2*x^2+10*x-2)/(-x^4+1) ogf_with_Euler_transform] A228831 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(3/2)*2^(1/4)/GAMMA(3/4)^6 A228834 12.3419 [-(-6*x^3-4*x^2-4*x-4)/(x^4-1) ogf_with_Euler_transform] A228834 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*Pi^(3/2)*2^(3/4)/GAMMA(3/4)^6 A228840 13.5567 [-(15*x-2)/(27*x^2-15*x+1) ogf] A228840 6.997 [-(13*f(x)-1)*(27*f(x)*x^2-15*f(x)*x+f(x)+15*x-2) ogf] A228840 7.65554 [{a(n+2)-15*a(n+1)+27*a(n),a(0)=2,a(1)=15} ogf] A228840 8.79353 [-(-405*x^2+108*x-15)/(-405*x^3+279*x^2-45*x+2) lgdogf] A228842 11.2892 [-(-12*x^2+8*x-3)/(-12*x^3+22*x^2-9*x+1) lgdogf] A228842 16.8084 [-2*(3*x-1)/(4*x^2-6*x+1) ogf] A228842 8.31183 [-(80*f(x)-79)*(4*f(x)*x^2-6*f(x)*x+f(x)+6*x-2) ogf] A228842 9.22410 [{a(n+2)-6*a(n+1)+4*a(n),a(0)=2,a(1)=6} ogf] A228843 13.9701 [-2*(12*x-1)/(64*x^2-24*x+1) ogf] A228843 7.13368 [-(80*f(x)-79)*(64*f(x)*x^2-24*f(x)*x+f(x)+24*x-2) ogf] A228843 7.88901 [{a(n+2)-24*a(n+1)+64*a(n),a(0)=2,a(1)=24} ogf] A228843 9.06170 [-(-768*x^2+128*x-12)/(-768*x^3+352*x^2-36*x+1) lgdogf] A228847 7.62965 [-6*(980*x^23+140*x^17+70*x^15+14*x^8+21*x^6+25*x^4+8*x^2+x+1)/(x-1) ogf] A228864 99.9999 Evaluated at exp(-Pi) 32/625*2^(4/5)/GAMMA(4/5)^8*GAMMA(9/10)^4*GAMMA(7/10)^4*(5+5^(1/2))^4*(1/4*5^(1/2)-1/4)^4*(1/4*5^(1/2)+1/4)^4 A228871 12.6376 [(32*x+3)/(64*x-1)/(x-1) ogf] A228871 6.3853 [(14371*f(x)+8416)*(64*f(x)*x^2-65*f(x)*x+f(x)-32*x-3) ogf] A228871 7.05352 [{-a(n+2)+65*a(n+1)-64*a(n),a(0)=3,a(1)=227} ogf] A228871 7.67852 [-(2048*x^2+384*x-227)/(2048*x^3-1888*x^2-163*x+3) lgdogf] A228873 11.6105 [-6/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A228873 6.78235 [-(-5*x^4+20*x^3+45*x^2-30*x-5)/(-x^5+5*x^4+15*x^3-15*x^2-5*x+1) lgdogf] A228874 7.15462 [6*(x^4-4*x^3-24*x^2+6*x-4)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A228879 11.2844 [(24*f(x)-47)*(3*f(x)*x^2-f(x)+7*x+4) ogf] A228879 11.4503 [-(21*x^2+24*x+7)/(21*x^3+12*x^2-7*x-4) lgdogf] A228879 12.1660 [{a(n+2)-3*a(n),a(0)=4,a(1)=7} ogf] A228879 18.9908 [-(7*x+4)/(3*x^2-1) ogf] A228887 11.3805 [(4*x^2+19*x+4)/(x-1)^4 ogf] A228887 11.7152 [-(8*x^2+65*x+35)/(4*x^3+15*x^2-15*x-4) lgdogf] A228887 3.84846 [{(4*n+16)*a(n+4)+(10+15*n)*a(n+3)+(-95-15*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=4,a(1)=35,a(2)=120,a(3)=286} ogf] A228887 5.90097 [(468*f(x)+6667)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-19*x-4) ogf] A228888 11.4251 [(x^2+16*x+10)/(x-1)^4 ogf] A228888 11.9292 [-(-2*x^2-50*x-56)/(-x^3-15*x^2+6*x+10) lgdogf] A228888 3.91876 [{(10*n+40)*a(n+4)+(-38+6*n)*a(n+3)+(-80-15*n)*a(n+2)+(-3-n)*a(n+1),a(0)=10,a(1)=56,a(2)=165,a(3)=364} ogf] A228888 5.87813 [(5589*f(x)+95318)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-16*x-10) ogf] A228889 11.2670 [6*(x^2+16*x+10)/(x-1)^4 ogf] A228889 11.7640 [-(-2*x^2-50*x-56)/(-x^3-15*x^2+6*x+10) lgdogf] A228889 3.82753 [{(10*n+40)*a(n+4)+(-38+6*n)*a(n+3)+(-80-15*n)*a(n+2)+(-3-n)*a(n+1),a(0)=60,a(1)=336,a(2)=990,a(3)=2184} ogf] A228889 5.75506 [(1863*f(x)+190636)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-96*x-60) ogf] A228907 6.5811 [-f(x)^3*x^2+f(x)^3*x+f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A228907 6.88578 [1/2/(x^2+2*x+1)*(x^2+x+1+(x^4-2*x^3-5*x^2-2*x+1)^(1/2))*x revogf] A228909 7.89697 [-720*x^6/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A228910 6.87665 [5040*x^7/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A228911 5.40521 [-40320*x^8/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A228912 4.63334 [362880*x^9/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1)/(10*x-1) ogf] A228913 8.29824 [11/30*(15*x^3-60*x^2+(255*x^6+30870*x^4+1091475*x^2+12006225)^(1/2)+585*x-3465)/x/(x^2+39) lgdegf] A228920 10.9937 [-2*(12*x^2-6*x+1)/(4*x-1)/(8*x^2-4*x+1) ogf] A228920 6.00496 [-(f(x)-2)*(32*f(x)*x^3-24*f(x)*x^2+8*f(x)*x+24*x^2-f(x)-12*x+2) ogf] A228920 6.26834 [{a(n+3)-8*a(n+2)+24*a(n+1)-32*a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A228921 4.82360 [-2*(28672*x^6-9216*x^5+1280*x^4-64*x^3+48*x^2-12*x+1)/(8*x-1)/(32*x^2-8*x+1)/(256*x^4+1) ogf] A228935 14.4505 [-3*x*(x-1)/(x+1)^2 ogf] A228935 16.0926 [-(-x+3)/(-x^2+1) lgdogf] A228935 33.5438 [[-3+2*x] ogf_with_Euler_transform] A228935 7.01065 [{-a(n+3)-2*a(n+2)-a(n+1),a(0)=0,a(1)=3,a(2)=-9} ogf] A228935 8.74168 [f(x)*(f(x)*x^2+2*f(x)*x+3*x^2+f(x)-3*x) ogf] A228936 5.08943 [(8*f(x)-115)*(f(x)*x^4+x^4+2*f(x)*x^2+3*x^3+f(x)-3*x-1) ogf] A228936 8.06478 [-(x-1)*(x+1)*(x^2+3*x+1)/(x^2+1)^2 ogf] A228937 6.23599 [-(x-1)*(x+1)*(x^6+2*x^5+31*x^4+15*x^3+31*x^2+2*x+1)/(x^4+1)^2 ogf] A228949 9.70496 [-(x^5-5*x^3-7*x^2-3*x-4)/(x-1)^2/(x^2+x+1)^2 ogf] A228958 7.48165 [(x^5-x^4+6*x^3+x+1)/(x+1)^3/(x-1)^4 ogf] A228959 3.71866 [{(n^2+5*n+6)*a(n+1)+(-n^2-9*n-18)*a(n+2)+(2*n+9)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=32} ogf] A228966 11.9244 [-(x^3+2*x^2-x)/(x^2+2*x+1) revogf] A228966 7.53119 [f(x)^3*x^2+f(x)^2*x^2+2*f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A228967 13.5004 [-(-27*x^2-8*x-9)/(-9*x^3-2*x^2+9*x+2) lgdogf] A228967 17.9087 [(9*x+2)/(x+1)^2/(x-1)^2 ogf] A228967 4.38762 [{(-2*n-8)*a(n+4)+(-18-9*n)*a(n+3)+(12+2*n)*a(n+2)+(36+9*n)*a(n+1),a(0)=2,a(1)=9,a(2)=4,a(3)=18} ogf] A228967 8.95433 [-(17171*f(x)-439346)*(f(x)*x^4-2*f(x)*x^2+f(x)-9*x-2) ogf] A228980 4.56692 [(9*f(x)-74)*(6*f(x)*x^4-6*f(x)*x^3-7*f(x)*x^2+4*x^3+6*f(x)*x-4*x^2-f(x)-8*x+4) ogf] A228980 8.18484 [-4*(x^3-x^2-2*x+1)/(6*x^4-6*x^3-7*x^2+6*x-1) ogf] A229003 3.05817 [{(-n-3)*a(n+1)+(n^2+8*n+14)*a(n+2)+(-2*n^2-13*n-19)*a(n+3)+(n^2+6*n+8)*a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=11} egf] A229004 10.9087 [(2*x^4+2*x^3+x^2+4*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A229006 3.99144 [-(2*x^12-2*x^11+2*x^9-x^8+x^7+3*x^6+2*x^4+4*x^3+x^2+x+3)/(2*x^13-2*x^12+2*x^11-x^9+2*x^8-x^6+2*x^5-x^3+2*x-1) ogf] A229013 10.4173 [-(x-2)*(x^2+4*x+1)/(x-1)^4 ogf] A229013 4.05117 [{(-149*n^2-343*n-90)*a(n+1)+(928*n^2+6728*n+14244)*a(n+2)+(-779*n^2-4495*n-6474)*a(n+3),a(0)=2,a(1)=15,a(2)=46} ogf] A229013 5.53194 [(4932*f(x)+100925)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x+2*x^2+f(x)-7*x-2) ogf] A229013 9.78209 [-(-x^3-7*x^2+17*x+15)/(-x^4-x^3+9*x^2-5*x-2) lgdogf] A229014 7.92547 [(x-2)*(x^3+3*x^2+11*x+1)/(x-1)^5 ogf] A229014 8.18113 [-(-x^4-6*x^3-18*x^2+74*x+31)/(-x^5-4*x^3+26*x^2-19*x-2) lgdogf] A229015 6.00386 [(x^5+2*x^4-32*x^3+20*x^2+45*x+2)/(x-1)^6 ogf] A229016 5.19724 [-(x^6+9*x^5-4*x^4-148*x^3+137*x^2+91*x+2)/(x-1)^7 ogf] A229017 4.44856 [-(x^7-8*x^6-121*x^5+268*x^4+405*x^3-566*x^2-177*x-2)/(x-1)^8 ogf] A229025 10.6464 [-1/(4*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A229026 10.2752 [-(160*x^2-151*x+19)/(40*x^3-53*x^2+14*x-1) lgdogf] A229026 13.2110 [1/(8*x-1)/(x-1)/(5*x-1)^2 ogf] A229026 3.52294 [{(n+4)*a(n+4)+(-61-14*n)*a(n+3)+(257+53*n)*a(n+2)+(-200-40*n)*a(n+1),a(0)=1,a(1)=19,a(2)=238,a(3)=2490} ogf] A229026 5.13763 [(292560795301*f(x)+7167232000)*(200*f(x)*x^4-305*f(x)*x^3+123*f(x)*x^2-19*f(x)*x+f(x)-1) ogf] A229031 10.8054 [-(-384*x^3+224*x^2-40*x)/(-192*x^4+128*x^3-4*x^2-8*x+1) lgdogf] A229031 15.5671 [-120*(4*x-1)/(6*x-1)/(2*x-1)/(4*x+1) ogf] A229031 7.78353 [{-a(n+3)+4*a(n+2)+20*a(n+1)-48*a(n),a(0)=120,a(1)=0,a(2)=2400} ogf] A229031 7.78354 [(20701*f(x)-609120)*(48*f(x)*x^3-20*f(x)*x^2-4*f(x)*x+f(x)+480*x-120) ogf] A229036 12.2768 [-(-6*x-4)/(-45*x^3+39*x^2-14*x+2) lgdegf] A229036 12.9345 [1/2*(15*x^2-8*x+2)/(3*x-1)^2 egf] A229036 3.55065 [{(15*n^2+15*n)*a(n)+(-18*n^2-77*n-57)*a(n+1)+(3*n^2+27*n+44)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=21} ogf] A229036 9.78827 [-18*f(x)*x^2+12*f(x)*x+15*x^2-2*f(x)-8*x+2 egf] A229039 10.0132 [-2*f(x)*x^2+4*f(x)*x-3*x^2-2*f(x)+2*x+2 egf] A229039 13.4139 [-1/2*(3*x^2-2*x-2)/(x-1)^2 egf] A229039 13.6719 [-(-4*x+6)/(-3*x^3+5*x^2-2) lgdegf] A229039 3.59060 [{(6*n^2+6*n)*a(n)+(5*n^2+14*n+17)*a(n+1)+(n^2+2*n+3)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=7} ogf] A229042 15.1040 [-x^2-1/2+1/2*(4*x+1)^(1/2) revogf] A229043 16.8752 [-1/2-x^3+1/2*(4*x+1)^(1/2) revogf] A229072 12.5198 [-(x+1)*(x^15-x^14+x^13-x^12+x^11-x^10+x^9-x^8+x^7+x+1)/(2*x-1) ogf] A229083 7.26844 [-(x^7-2*x^6+x^5-3*x^4+x^3+2*x^2+x+1)/(x-1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A229093 7.25326 [x^2*(x^7-2*x^6+x^5-x^4+x^3-x^2-1)/(x^2+x+1)/(x-1)^3 ogf] A229111 3.12831 [{(125*n^3+750*n^2+1500*n+1000)*a(n+1)+(22*n^3+165*n^2+417*n+355)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=-5,a(2)=35} ogf] A229117 5.30691 [-(3*x^8-2*x^7+x^6-19*x^5+11*x^4-5*x^3+10*x^2+x+2)/(x-1)/(x^6-6*x^3+1) ogf] A229127 12.1931 [(90*x^2-10*x+1)/(10*x-1)/(9*x-1) ogf] A229127 6.55669 [{-a(n+3)+19*a(n+2)-90*a(n+1),a(0)=1,a(1)=9,a(2)=171} ogf] A229127 8.79758 [-(810*x^2-9)/(8100*x^4-2610*x^3+370*x^2-29*x+1) lgdogf] A229127 9.2668 [-90*f(x)*x^2+19*f(x)*x+90*x^2-f(x)-10*x+1 ogf] A229131 5.01891 [(x^7-2*x^6+2*x^5-4*x^4+5*x^3-2*x^2-x-1)/(x-1)/(x^6-6*x^3+1) ogf] A229135 4.32198 [{(-4*n^2-20*n-24)*a(n+1)+(5*n^2+20*n+15)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=4,a(2)=20} ogf] A229135 5.3056 [-(36*f(x)+29)*(16*f(x)*x^4-40*f(x)*x^3+33*f(x)*x^2-34*x^3-10*f(x)*x+20*x^2+f(x)-4*x) ogf] A229135 8.45398 [-(136*x^3-120*x^2+48*x-10)/(68*x^4-125*x^3+75*x^2-20*x+2) lgdogf] A229135 9.73813 [2*x*(17*x^2-10*x+2)/(4*x-1)^2/(x-1)^2 ogf] A229136 11.3427 [-2*(2*x-1)^2/(4*x-1)/(8*x^2-4*x+1) ogf] A229136 6.21383 [{a(n+3)-8*a(n+2)+24*a(n+1)-32*a(n),a(0)=2,a(1)=8,a(2)=24} ogf] A229136 6.26834 [(3*f(x)-17)*(32*f(x)*x^3-24*f(x)*x^2+8*f(x)*x+8*x^2-f(x)-8*x+2) ogf] A229136 8.21369 [-(64*x^3-96*x^2+32*x-4)/(64*x^4-80*x^3+40*x^2-10*x+1) lgdogf] A229138 4.43911 [-4*(2048*x^6-1024*x^5+128*x^4-128*x^3+56*x^2-12*x+1)/(8*x-1)/(32*x^2-8*x+1)/(256*x^4+1) ogf] A229144 11.2918 [x*(x^6+2*x^5+2*x^4+2*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A229146 3.94066 [{(-1109*n^2-5116*n-5796)*a(n+1)+(2383*n^2+10702*n+22671)*a(n+2)+(-1274*n^2-4926*n-4756)*a(n+3),a(0)=0,a(1)=4,a(2)=52} ogf] A229146 8.60166 [-x*(x^3+23*x^2+32*x+4)/(x-1)^5 ogf] A229146 9.30179 [-(2*x^3+72*x^2+174*x+52)/(x^4+22*x^3+9*x^2-28*x-4) lgdogf] A229147 6.92930 [x*(x^4+58*x^3+198*x^2+98*x+5)/(x-1)^6 ogf] A229147 7.05529 [-(-2*x^4-178*x^3-966*x^2-886*x-128)/(-x^5-57*x^4-140*x^3+100*x^2+93*x+5) lgdogf] A229148 5.66972 [-x*(x^5+137*x^4+957*x^3+1157*x^2+262*x+6)/(x-1)^7 ogf] A229149 4.91868 [x*(x^6+312*x^5+4029*x^4+9664*x^3+5499*x^2+648*x+7)/(x-1)^8 ogf] A229150 4.08607 [-x*(x^7+695*x^6+15570*x^5+65998*x^4+74573*x^3+23067*x^2+1528*x+8)/(x-1)^9 ogf] A229151 3.33774 [x*(x^8+1526*x^7+56856*x^6+395866*x^5+780950*x^4+486474*x^3+89224*x^2+3494*x+9)/(x-1)^10 ogf] A229154 7.82384 [-(x^6-2*x^5+x^4-x^3+2*x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A229180 15.1931 [-(-3*x^4-6*x^2-3)/(-x^6+1) ogf_with_Euler_transform] A229183 11.1971 [x*(2*x^2-x+2)/(x-1)^4 ogf] A229183 12.7716 [-(-4*x^2-x-7)/(-2*x^3+3*x^2-3*x+2) lgdogf] A229183 4.14916 [{(6+2*n)*a(n+4)+(-13-3*n)*a(n+3)+(2+3*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=7,a(3)=18} ogf] A229183 5.88047 [-(60*f(x)+19)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+x^2+f(x)-2*x) ogf] A229204 7.17449 [x^3*(x^2+1)*(x^4-x^3-x^2-2*x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A229224 8.48269 [1+x+1/2*x^2+1/6*x^3+1/24*x^4+1/120*x^5+1/720*x^6 lgdegf] A229225 12.0026 [1+x+1/2*x^2+1/6*x^3+1/24*x^4+1/120*x^5+1/720*x^6+1/5040*x^7 lgdegf] A229225 7.21029 [1+x+1/2*x^2+1/6*x^3+1/24*x^4+1/120*x^5+1/720*x^6+1/5040*x^7 lgdegf] A229277 15.8066 [-3*x*(x-1)/(3*x-1)^2 ogf] A229277 16.1359 [-(-3*x+5)/(-3*x^2+4*x-1) lgdogf] A229277 7.59335 [{a(n+3)-6*a(n+2)+9*a(n+1),a(0)=0,a(1)=3,a(2)=15} ogf] A229277 9.11202 [-f(x)*(9*f(x)*x^2-6*f(x)*x+3*x^2+f(x)-3*x) ogf] A229278 13.6901 [-(-12*x+13)/(-12*x^2+11*x-2) lgdogf] A229278 14.2377 [-2*x*(3*x-2)/(4*x-1)^2 ogf] A229278 6.91149 [{a(n+3)-8*a(n+2)+16*a(n+1),a(0)=0,a(1)=4,a(2)=26} ogf] A229278 8.27772 [-f(x)*(16*f(x)*x^2-8*f(x)*x+6*x^2+f(x)-4*x) ogf] A229279 13.9891 [-5*x*(2*x-1)/(5*x-1)^2 ogf] A229279 14.5487 [-(-10*x+8)/(-10*x^2+7*x-1) lgdogf] A229279 6.99456 [{a(n+3)-10*a(n+2)+25*a(n+1),a(0)=0,a(1)=5,a(2)=40} ogf] A229279 8.2663 [-f(x)*(25*f(x)*x^2-10*f(x)*x+10*x^2+f(x)-5*x) ogf] A229280 13.7313 [-(-30*x+19)/(-30*x^2+17*x-2) lgdogf] A229280 13.7313 [-3*x*(5*x-2)/(6*x-1)^2 ogf] A229280 6.86567 [{a(n+3)-12*a(n+2)+36*a(n+1),a(0)=0,a(1)=6,a(2)=57} ogf] A229280 8.50037 [f(x)*(36*f(x)*x^2-12*f(x)*x+15*x^2+f(x)-6*x) ogf] A229281 13.1734 [-(-21*x+11)/(-21*x^2+10*x-1) lgdogf] A229281 13.1734 [-7*x*(3*x-1)/(7*x-1)^2 ogf] A229281 6.58670 [{a(n+3)-14*a(n+2)+49*a(n+1),a(0)=0,a(1)=7,a(2)=77} ogf] A229281 7.78429 [-f(x)*(49*f(x)*x^2-14*f(x)*x+21*x^2+f(x)-7*x) ogf] A229282 13.9345 [-(-56*x+25)/(-56*x^2+23*x-2) lgdogf] A229282 13.9345 [-4*x*(7*x-2)/(8*x-1)^2 ogf] A229282 6.90091 [{a(n+3)-16*a(n+2)+64*a(n+1),a(0)=0,a(1)=8,a(2)=100} ogf] A229282 8.62615 [f(x)*(64*f(x)*x^2-16*f(x)*x+28*x^2+f(x)-8*x) ogf] A229283 13.3080 [-(-36*x+14)/(-36*x^2+13*x-1) lgdogf] A229283 13.3080 [-9*x*(4*x-1)/(9*x-1)^2 ogf] A229283 6.59061 [{a(n+3)-18*a(n+2)+81*a(n+1),a(0)=0,a(1)=9,a(2)=126} ogf] A229283 7.8638 [-f(x)*(81*f(x)*x^2-18*f(x)*x+36*x^2+f(x)-9*x) ogf] A229284 12.9815 [-5*x*(9*x-2)/(10*x-1)^2 ogf] A229284 13.4808 [-(-90*x+31)/(-90*x^2+29*x-2) lgdogf] A229284 6.55141 [{a(n+3)-20*a(n+2)+100*a(n+1),a(0)=0,a(1)=10,a(2)=155} ogf] A229284 7.7889 [-f(x)*(100*f(x)*x^2-20*f(x)*x+45*x^2+f(x)-10*x) ogf] A229314 5.01155 [(f(x)+30)*(2*f(x)*x^4-f(x)*x^3+2*f(x)*x^2+2*x^3+3*f(x)*x-f(x)+2*x+4) ogf] A229314 9.44203 [-2*(x+1)*(x^2-x+2)/(2*x^4-x^3+2*x^2+3*x-1) ogf] A229339 5.56577 [-(x^12-x^11+2*x^10-5*x^9-2*x^8-x^7-6*x^6+x^5-2*x^4+5*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-1)/(x^4-x^2-1) ogf] A229354 11.8189 [-(29*x^2-27*x+6)/(2*x-1)/(3*x-1)/(x-1) ogf] A229354 6.14968 [-(526*f(x)-3559)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+29*x^2-f(x)-27*x+6) ogf] A229354 6.63517 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=6,a(1)=9,a(2)=17} ogf] A229354 6.75365 [-(-174*x^4+324*x^3-231*x^2+74*x-9)/(-174*x^5+481*x^4-507*x^3+257*x^2-63*x+6) lgdogf] A229355 4.66324 [(5193*f(x)-138493)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+218*x^3-10*f(x)*x-264*x^2+f(x)+100*x-12) ogf] A229355 8.26667 [-2*(109*x^3-132*x^2+50*x-6)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A229356 6.63735 [-(1814*x^4-2543*x^3+1262*x^2-265*x+20)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A229357 5.37513 [-(18144*x^5-28874*x^4+17295*x^3-4919*x^2+669*x-35)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A229358 4.27714 [-(196356*x^6-339112*x^5+230407*x^4-79457*x^3+14759*x^2-1407*x+54)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A229363 4.40191 [2*x*(50*x^15+5*x^14-55*x^13-10*x^12-10*x^11-10*x^10-10*x^9+10*x^7+10*x^6+7*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(10*x^8-1) ogf] A229364 4.55516 [-(10*x^14+20*x^13+20*x^12+20*x^11+20*x^10+10*x^9-20*x^8-30*x^7-14*x^6-4*x^5-4*x^4-4*x^3-4*x^2-3*x-1)/(x-1)/(x+1)/(10*x^8-1) ogf] A229366 6.15181 [-(4*x^4-17*x^3+4*x^2+22*x+8)/(4*x^5-13*x^4+3*x^3+13*x^2+2*x-1) ogf] A229374 5.03252 [-(2893*f(x)+3064)*(2*f(x)*x^3-f(x)*x^2-4*f(x)*x+2*x^2+f(x)+2*x-8) ogf] A229374 5.29509 [{-a(n+3)+4*a(n+2)+a(n+1)-2*a(n),a(0)=8,a(1)=30,a(2)=126} ogf] A229374 9.98254 [-2*(x^2+x-4)/(2*x^3-x^2-4*x+1) ogf] A229386 3.94479 [-(14231*f(x)+6590)*(16*f(x)*x^4-32*f(x)*x^3+36*f(x)*x^2+16*x^3-12*f(x)*x-32*x^2+f(x)+40*x-14) ogf] A229386 7.23986 [-2*(2*x-1)*(4*x^2-6*x+7)/(16*x^4-32*x^3+36*x^2-12*x+1) ogf] A229397 4.53373 [-(5*f(x)+143)*(f(x)*x^4-3*f(x)*x^3+6*f(x)*x^2+x^3-5*f(x)*x-3*x^2+f(x)+7*x-4) ogf] A229397 8.41977 [-(x^3-3*x^2+7*x-4)/(x-1)/(x^3-2*x^2+4*x-1) ogf] A229398 4.27051 [-(x-1)*(2*x^6-15*x^5+35*x^4-49*x^3+41*x^2-30*x+8)/(x^8-9*x^7+28*x^6-47*x^5+55*x^4-47*x^3+28*x^2-9*x+1) ogf] A229406 5.32980 [-(2*x^4-38*x^3+69*x^2-13*x-15)/(2*x^5-38*x^4+67*x^3-13*x^2-10*x+1) ogf] A229422 7.51964 [-(2*x^4-12*x^3+21*x^2-18*x+12)/(2*x^5-12*x^4+27*x^3-30*x^2+18*x-5) lgdogf] A229422 7.98003 [-(2*x^4-10*x^3+17*x^2-13*x+5)/(x-1)^5 ogf] A229423 5.76323 [-(3*x^6-18*x^5+48*x^4-72*x^3+62*x^2-29*x+8)/(x-1)^7 ogf] A229424 3.78148 [-(3*x^8-27*x^7+103*x^6-222*x^5+302*x^4-272*x^3+159*x^2-53*x+12)/(x-1)^9 ogf] A229432 3.08157 [-(3489151925*f(x)+325276326)*(1296*f(x)*x^4-936*f(x)*x^3+342*f(x)*x^2+1296*x^3-37*f(x)*x-936*x^2+f(x)+378*x-43) ogf] A229432 5.76553 [-(6*x-1)*(216*x^2-120*x+43)/(1296*x^4-936*x^3+342*x^2-37*x+1) ogf] A229439 7.64347 [-(-2*x^4+12*x^3-24*x^2+16*x-7)/(-2*x^5+12*x^4-28*x^3+31*x^2-17*x+4) lgdogf] A229439 8.03344 [-(2*x^4-10*x^3+18*x^2-13*x+4)/(x-1)^5 ogf] A229440 5.50007 [-(2*x^6-15*x^5+44*x^4-66*x^3+57*x^2-25*x+5)/(x-1)^7 ogf] A229441 4.01960 [-(2*x^8-19*x^7+77*x^6-177*x^5+255*x^4-224*x^3+127*x^2-40*x+6)/(x-1)^9 ogf] A229446 10.3466 [-(5*x^3-18*x^2+19*x-8)/(x-1)^4 ogf] A229446 4.27950 [{(87*n^2+480*n+612)*a(n+1)+(-140*n^2-523*n-291)*a(n+2)+(53*n^2+145*n-42)*a(n+3),a(0)=8,a(1)=13,a(2)=22} ogf] A229446 5.56044 [-(160*f(x)+709)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-18*x^2+f(x)+19*x-8) ogf] A229446 9.50448 [-(-5*x^3+21*x^2-21*x+13)/(-5*x^4+23*x^3-37*x^2+27*x-8) lgdogf] A229447 7.32501 [-(-7*x^4+24*x^3-66*x^2+44*x-25)/(-7*x^5+33*x^4-74*x^3+83*x^2-47*x+12) lgdogf] A229447 7.76895 [-(7*x^4-26*x^3+48*x^2-35*x+12)/(x-1)^5 ogf] A229448 6.40039 [-(6*x^5-44*x^4+79*x^3-101*x^2+55*x-17)/(x-1)^6 ogf] A229449 5.30978 [-(11*x^6-31*x^5+159*x^4-177*x^3+188*x^2-77*x+23)/(x-1)^7 ogf] A229450 4.47143 [(3*x^7+123*x^6-66*x^5+456*x^4-302*x^3+329*x^2-98*x+30)/(x-1)^8 ogf] A229454 3.99967 [(7518926964*f(x)+918610471)*(4*f(x)*x^4-20*f(x)*x^3+29*f(x)*x^2-3*x^3-10*f(x)*x+2*x^2+f(x)-2) ogf] A229454 8.05196 [(3*x^3-2*x^2+2)/(2*x^2-5*x+1)^2 ogf] A229455 4.57280 [(8*x^6-12*x^5-27*x^4+38*x^3+17*x^2-24*x+6)/(6*x^3-15*x^2+9*x-1)^2 ogf] A229463 12.0956 [-(78*x-28)/(26*x^2-27*x+1) lgdogf] A229463 15.7243 [-1/(26*x-1)/(x-1)^2 ogf] A229463 5.33028 [{a(n+3)-28*a(n+2)+53*a(n+1)-26*a(n),a(0)=1,a(1)=28,a(2)=731} ogf] A229463 5.46933 [(73645521*f(x)-4712396)*(26*f(x)*x^3-53*f(x)*x^2+28*f(x)*x-f(x)+1) ogf] A229464 2.84660 [{(-4*n^2-20*n-24)*a(n+1)+(8*n^2+54*n+90)*a(n+2)+(-4*n^2-34*n-73)*a(n+3)+a(n+4),a(0)=1,a(1)=7,a(2)=133,a(3)=5419} ogf] A229472 3.62717 [{(-3*n^2-15*n-18)*a(n+1)+(4*n^2+16*n+12)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A229472 7.45147 [x*(3*x^4-8*x^3+12*x^2-6*x+1)/(3*x-1)^2/(x-1)^2 ogf] A229473 5.18666 [{a(n+4)-8*a(n+3)+16*a(n+2),a(0)=1,a(1)=6,a(2)=42,a(3)=248} ogf] A229473 5.51375 [-(320*f(x)-113)*(16*f(x)*x^2-8*x^3-8*f(x)*x-10*x^2+f(x)+2*x-1) ogf] A229473 7.11658 [-(-32*x^3+24*x^2+12*x+6)/(32*x^4+32*x^3-18*x^2+6*x-1) lgdogf] A229473 9.71470 [(8*x^3+10*x^2-2*x+1)/(4*x-1)^2 ogf] A229474 3.14294 [(11478171264103+294991644120*f(x))*(64*f(x)*x^4-112*f(x)*x^3-96*x^4+65*f(x)*x^2+46*x^3-14*f(x)*x+38*x^2+f(x)-14*x-2) ogf] A229474 5.95153 [2*(48*x^4-23*x^3-19*x^2+7*x+1)/(8*x^2-7*x+1)^2 ogf] A229475 3.50245 [2*(10240*x^8-4736*x^7-2824*x^6+7944*x^5-6024*x^4+2610*x^3-640*x^2+52*x+3)/(64*x^4-68*x^3+40*x^2-12*x+1)^2 ogf] A229489 10.9005 [(2*x^4+x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A229489 5.78855 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=6,a(4)=10} ogf] A229489 6.31083 [-(69*f(x)+31)*(f(x)*x^3-2*x^4-f(x)*x^2-x^3-f(x)*x-x^2+f(x)-x-1) ogf] A229489 8.65299 [-(2*x^5-2*x^4-10*x^3-6*x^2-6*x-2)/(-2*x^6-x^5+x^4+x+1) lgdogf] A229502 4.59520 [-(4*x^15+2*x^13+2*x^12+x^11+2*x^10+x^9+4*x^7+x^5+2*x^4+x^3+2*x^2+2*x)/(-x^16+1) ogf_with_Euler_transform] A229504 10.2004 [-16*f(x)*x^2+8*f(x)*x-f(x)+6*x ogf] A229504 16.1059 [6*x/(4*x-1)^2 ogf] A229504 21.8581 [8/(-4*x+1) lgdogf] A229504 7.46373 [{a(n+2)-8*a(n+1)+16*a(n),a(0)=0,a(1)=6} ogf] A229505 10.7778 [-48*x*(2*x-1)/(6*x-1)^2 ogf] A229505 11.2004 [-(-12*x+10)/(-12*x^2+8*x-1) lgdogf] A229505 5.38888 [{a(n+3)-12*a(n+2)+36*a(n+1),a(0)=0,a(1)=48,a(2)=480} ogf] A229505 6.41822 [-f(x)*(36*f(x)*x^2-12*f(x)*x+96*x^2+f(x)-48*x) ogf] A229506 4.29551 [{-a(n+4)+18*a(n+3)-81*a(n+2),a(0)=0,a(1)=288,a(2)=4032,a(3)=50112} ogf] A229506 4.71366 [(2287*f(x)+54068)*(81*f(x)*x^2-864*x^3-18*f(x)*x+1152*x^2+f(x)-288*x) ogf] A229506 8.07035 [288*x*(3*x-1)*(x-1)/(9*x-1)^2 ogf] A229506 8.73185 [-(-30*x+14)/(27*x^3-39*x^2+13*x-1) lgdogf] A229514 10.1995 [-(x^3+x+3)/(x+1)/(x^3-2*x^2+3*x-1) ogf] A229514 5.25198 [-(7*f(x)+10)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+x^3+2*f(x)*x-f(x)+x+3) ogf] A229522 7.59057 [-(9*x^8+6*x^7+7*x^6+6*x^5+5*x^4+6*x^3+3*x^2+6*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A229525 9.21956 [-(x^5-x^4-4*x^3-2*x^2+5*x+11)/(x-1)^3/(x+1)^3 ogf] A229526 7.35950 [-(x^5+x^4-4*x^3-14*x^2+x+5)/(x-1)^3/(x+1)^3 ogf] A229529 3.56117 [-(78901*f(x)-2279794)*(4*f(x)*x^4-20*f(x)*x^3-8*x^4+29*f(x)*x^2+32*x^3-10*f(x)*x-36*x^2+f(x)+12*x-2) ogf] A229529 6.45705 [2*(4*x^4-16*x^3+18*x^2-6*x+1)/(2*x^2-5*x+1)^2 ogf] A229530 3.17093 [(232265814816182+1322458872183*f(x))*(16*f(x)*x^4-56*f(x)*x^3-105*x^4+57*f(x)*x^2+274*x^3-14*f(x)*x-199*x^2+f(x)+48*x-6) ogf] A229530 6.01156 [(105*x^4-274*x^3+199*x^2-48*x+6)/(4*x^2-7*x+1)^2 ogf] A229535 11.5779 [-(4*x^2-8*x-2)/(2*x^3-3*x+1) lgdogf] A229535 3.60201 [{(n+3)*a(n+4)+(-8-3*n)*a(n+3)-8*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=4,a(2)=8,a(3)=36} ogf] A229535 5.40301 [-(6*f(x)-13)*(4*f(x)*x^4+8*f(x)*x^3-4*x^3-4*f(x)*x+8*x^2+f(x)-4*x) ogf] A229535 9.97480 [4*x*(x-1)^2/(2*x^2+2*x-1)^2 ogf] A229536 4.73316 [x*(4*x^6-16*x^5-3*x^4+40*x^3+33*x^2-62*x+20)/(2*x^3-4*x^2-3*x+1)^2 ogf] A229554 4.23861 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=8,a(1)=8,a(2)=15} ogf] A229571 3.18084 [2*x*(40*x^6-108*x^5+14*x^4+123*x^3-87*x^2+11*x+3)/(2*x-1)^3/(x-1)^3 ogf] A229572 13.2821 [-(-16*x-6)/(-12*x^3+2*x^2+1) lgdogf] A229572 13.5327 [(6*x^2+2*x+1)/(2*x-1)^2 ogf] A229572 6.96345 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=6,a(2)=26} ogf] A229572 7.71219 [(2+7*f(x))*(4*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-2*x-1) ogf] A229573 3.99066 [-(124124*f(x)+22614939)*(4*f(x)*x^4-12*f(x)*x^3-20*x^4+13*f(x)*x^2-29*x^3-6*f(x)*x+54*x^2+f(x)-14*x-2) ogf] A229573 7.32352 [(20*x^4+29*x^3-54*x^2+14*x+2)/(2*x-1)^2/(x-1)^2 ogf] A229574 6.14943 [(4*x^6-20*x^5-17*x^4+254*x^3-231*x^2+44*x+6)/(2*x-1)^2/(x-1)^2 ogf] A229575 6.13361 [2*(20*x^6-32*x^5-145*x^4+482*x^3-337*x^2+48*x+10)/(2*x-1)^2/(x-1)^2 ogf] A229576 5.58617 [(156*x^6-92*x^5-1215*x^4+2754*x^3-1597*x^2+124*x+70)/(2*x-1)^2/(x-1)^2 ogf] A229577 5.69789 [2*(232*x^6+4*x^5-1850*x^4+3332*x^3-1545*x^2-82*x+123)/(2*x-1)^2/(x-1)^2 ogf] A229580 10.4456 [-(-8*x-6)/(-32*x^3+16*x^2-6*x+1) lgdogf] A229580 11.2193 [(8*x^2-2*x+1)/(4*x-1)^2 ogf] A229580 5.82542 [{-a(n+3)+8*a(n+2)-16*a(n+1),a(0)=1,a(1)=6,a(2)=40} ogf] A229580 8.4145 [-16*f(x)*x^2+8*f(x)*x+8*x^2-f(x)-2*x+1 ogf] A229581 12.2179 [-(12*x+14)/(12*x^2+4*x-1) lgdogf] A229581 13.2577 [2*(2*x+1)/(6*x-1)^2 ogf] A229581 7.00126 [(12*f(x)+25)*(36*f(x)*x^2-12*f(x)*x+f(x)-4*x-2) ogf] A229581 7.33073 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=2,a(1)=28} ogf] A229582 4.91263 [{-a(n+3)+18*a(n+2)-81*a(n+1),a(0)=6,a(1)=116,a(2)=1620} ogf] A229582 5.40886 [(72*f(x)+409)*(81*f(x)*x^2-18*f(x)*x-18*x^2+f(x)-8*x-6) ogf] A229582 8.77831 [-(54*x+58)/(81*x^3+27*x^2+23*x-3) lgdogf] A229582 9.56209 [2*(9*x^2+4*x+3)/(9*x-1)^2 ogf] A229583 3.33391 [(326276376*f(x)-40363165)*(324*f(x)*x^4-540*f(x)*x^3+261*f(x)*x^2+72*x^3-30*f(x)*x-12*x^2+f(x)+36*x-16) ogf] A229583 6.17532 [-4*(18*x^3-3*x^2+9*x-4)/(18*x^2-15*x+1)^2 ogf] A229584 3.86864 [4*(1701*x^5-1485*x^4+93*x^3+262*x^2-95*x+10)/(81*x^3-90*x^2+25*x-1)^2 ogf] A229587 11.1051 [-(-10*x+14)/(3*x^3-13*x^2+13*x-3) lgdogf] A229587 11.6896 [2*x*(x-1)*(x-3)/(3*x-1)^2 ogf] A229587 5.74403 [{-a(n+4)+6*a(n+3)-9*a(n+2),a(0)=0,a(1)=6,a(2)=28,a(3)=116} ogf] A229587 6.34578 [-(444*f(x)+473)*(9*f(x)*x^2-2*x^3-6*f(x)*x+8*x^2+f(x)-6*x) ogf] A229588 5.57621 [4*x*(37*x^4-47*x^3+35*x^2-34*x+10)/(2*x^2-5*x+1)^2 ogf] A229593 7.56842 [-x*(x+1)*(2*x^2-x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A229598 6.59253 [-(x+1)*(x^4-2*x^3+5*x^2-2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A229600 3.20875 [{(-48057*n^2-89085*n)*a(n+1)+(104102*n^2+542220*n+663772)*a(n+2)+(-29361*n^2-122799*n-128154)*a(n+3),a(0)=0,a(1)=6,a(2)=39} ogf] A229600 4.64485 [(607940608*f(x)+540425821)*(27*f(x)*x^3-2*x^4-27*f(x)*x^2+13*x^3+9*f(x)*x-15*x^2-f(x)+6*x) ogf] A229600 8.51554 [-(33*x^2-64*x+39)/(-6*x^4+41*x^3-58*x^2+33*x-6) lgdogf] A229600 8.62613 [x*(2*x^3-13*x^2+15*x-6)/(3*x-1)^3 ogf] A229601 4.53898 [(8*x^6-127*x^5+137*x^4+74*x^3-108*x^2+24*x+1)/(2*x^2-5*x+1)^3 ogf] A229611 13.1699 [1/(11*x-1)/(x-1)^3 ogf] A229611 13.4232 [-(44*x-14)/(11*x^2-12*x+1) lgdogf] A229611 4.44589 [{(-n-3)*a(n+3)+(38+12*n)*a(n+2)+(-55-11*n)*a(n+1),a(0)=1,a(1)=14,a(2)=160} ogf] A229611 5.209 [(37737881*f(x)+5312021)*(11*f(x)*x^4-34*f(x)*x^3+36*f(x)*x^2-14*f(x)*x+f(x)-1) ogf] A229615 14.3019 [-(4*x-2)/(-x^2+x-1) ogf_with_Euler_transform] A229616 9.43525 [-(-4*x^5-12*x^4-6*x^3-8*x^2-6*x-12)/(x^6-1) ogf_with_Euler_transform] A229620 11.2375 [-(-4*x^4+15*x^3+55*x^2+59*x+19)/(-2*x^5+7*x^4+12*x^3-4*x^2-10*x-3) lgdogf] A229620 12.5958 [-2*x*(2*x+1)*(x^2-4*x-3)/(x+1)/(x-1)^4 ogf] A229621 7.00785 [-x*(10*x^29-80*x^19-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A229632 4.21621 [-(88*x^6-540*x^5+1114*x^4-891*x^3+275*x^2-25*x-1)/(2*x^2-5*x+1)^3 ogf] A229633 3.84618 [(25*x^8-76*x^7-1825*x^6+7326*x^5-9539*x^4+4803*x^3-976*x^2+59*x+3)/(4*x^2-7*x+1)^3 ogf] A229638 5.94477 [2*x*(x-1)*(10*x^3-36*x^2+5*x+3)/(2*x^2+2*x-1)^3 ogf] A229659 14.1522 [-(72*x^17+73*x^16-72*x^8+8*x^7)/(-x^18-x^17+2*x^9+x^8-1) lgdogf] A229660 13.9039 [-(-90*x^19-91*x^18+90*x^9-9*x^8)/(x^20+x^19-2*x^10-x^9+1) lgdogf] A229660 4.92881 [-(9*x^29+9*x^28+9*x^27-x^26+x^18-9*x^9+x^8)/(x^20+x^19+x^18-1) ogf_with_Euler_transform] A229665 3.35992 [{(-3*n^2-15*n-18)*a(n+1)+(4*n^2+12*n)*a(n+2)+(-n^2-n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=12} ogf] A229665 4.67467 [x^2*(9*x^6-36*x^5+57*x^4-59*x^3+33*x^2-9*x+1)/(3*x-1)^3/(x-1)^3 ogf] A229666 6.73177 [x*(32*x^4+104*x^3-112*x^2-13*x-4)/(4*x-1)^3 ogf] A229667 4.29397 [-(2880*x^6-400*x^5-4524*x^4+3098*x^3-445*x^2-40*x-1)/(8*x^2-7*x+1)^3 ogf] A229679 3.88577 [{a(n+5)-12*a(n+4)+48*a(n+3)-64*a(n+2),a(0)=0,a(1)=2,a(2)=36,a(3)=360,a(4)=2688} ogf] A229679 4.24919 [(258688*f(x)+541251)*(64*f(x)*x^3-32*x^4-48*f(x)*x^2+24*x^3+12*f(x)*x+12*x^2-f(x)+2*x) ogf] A229679 7.47642 [2*x*(16*x^3-12*x^2-6*x-1)/(4*x-1)^3 ogf] A229679 8.55996 [-(72*x+18)/(-64*x^4+64*x^3+12*x^2-2*x-1) lgdogf] A229680 4.26223 [{a(n+4)-18*a(n+3)+108*a(n+2)-216*a(n+1),a(0)=0,a(1)=36,a(2)=888,a(3)=10896} ogf] A229680 4.65266 [(360*f(x)-9331)*(216*f(x)*x^3-108*f(x)*x^2-1200*x^3+18*f(x)*x+240*x^2-f(x)+36*x) ogf] A229680 8.01972 [12*x*(10*x+1)*(10*x-3)/(6*x-1)^3 ogf] A229680 8.46526 [-(-600*x^2+40*x+74)/(-600*x^3+220*x^2-2*x-3) lgdogf] A229681 4.92606 [24*x*(1296*x^4-2007*x^3+839*x^2-49*x-15)/(9*x-1)^3 ogf] A229689 4.17987 [{a(n+4)-18*a(n+3)+108*a(n+2)-216*a(n+1),a(0)=1,a(1)=43,a(2)=626,a(3)=6732} ogf] A229689 4.39501 [(11961*f(x)-93611)*(216*f(x)*x^3-108*f(x)*x^2-108*x^3+18*f(x)*x-40*x^2-f(x)+25*x+1) ogf] A229689 7.11573 [-(-564*x^2+220*x+43)/(-648*x^4-132*x^3+190*x^2-19*x-1) lgdogf] A229689 7.66309 [(108*x^3+40*x^2-25*x-1)/(6*x-1)^3 ogf] A229690 3.31981 [(-931544300231+52434376704*f(x))*(729*f(x)*x^3-243*f(x)*x^2+1026*x^3+27*f(x)*x-809*x^2-f(x)+164*x+3) ogf] A229690 3.45624 [{a(n+4)-27*a(n+3)+243*a(n+2)-729*a(n+1),a(0)=3,a(1)=245,a(2)=5077,a(3)=80757} ogf] A229690 6.22977 [-(1026*x^3-809*x^2+164*x+3)/(9*x-1)^3 ogf] A229691 3.28090 [-(11664*x^6-37260*x^5+52632*x^4-30531*x^3+8122*x^2-631*x-12)/(18*x^2-15*x+1)^3 ogf] A229695 7.14600 [x*(8*x^4-46*x^3+61*x^2-16*x-3)/(3*x-1)^3 ogf] A229696 3.33943 [-x*(64*x^8+192*x^7+2744*x^6-6260*x^5+5085*x^4-2976*x^3+1073*x^2-26*x-40)/(2*x^2-5*x+1)^3 ogf] A229702 10.8962 [-1/(6*x-1)/(x-1)^4 ogf] A229702 12.4216 [-(30*x-10)/(6*x^2-7*x+1) lgdogf] A229702 4.03300 [{(-n-3)*a(n+3)+(24+7*n)*a(n+2)+(-36-6*n)*a(n+1),a(0)=1,a(1)=10,a(2)=70} ogf] A229723 4.63858 [-(-2*x^11+x^10-x^9-x^7+x^6-3*x^5+x^4-x^3-x+1)/(x^12-1) ogf_with_Euler_transform] A229731 7.35467 [-(x^6+4*x^5-x^4-16*x^3-5*x^2+24*x+19)/(x^7+4*x^6+x^5-11*x^4-5*x^3+14*x^2+5*x-6) lgdogf] A229731 9.68486 [-x^4*(x+2)*(x^4+x^3-3*x^2-x+3)/(x^2+x-1)^3 ogf] A229732 10.8183 [-x^4*(x^4+x^3-x^2+2)/(x^2+x-1)^3 ogf] A229732 8.75766 [-(-2*x^5-2*x^4-2*x^2-10*x-6)/(-x^6-2*x^5+x^4+2*x^3-3*x^2-2*x+2) lgdogf] A229733 11.6359 [-f(x)^2*x^2+2*f(x)*x^3-x^4-f(x)*x+f(x)-1 ogf] A229734 6.33704 [-f(x)^2*x^2+2*f(x)*x^3-x^4+f(x)^2*x-2*f(x)*x^2+x^3-f(x)^2+f(x)*x-x^2+f(x)-x ogf] A229735 6.07202 [x*(x^6+62*x^5+575*x^4+1140*x^3+575*x^2+62*x+1)/(x-1)^8 ogf] A229736 9.27777 [-x^5*(x^3-3*x^2+5*x-2)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^2 ogf] A229737 10.4415 [-x^2*(x-1)*(x^3+4*x^2-4*x+1)/(2*x-1)^2/(x^2-3*x+1) ogf] A229737 7.63033 [-(14*x^5-42*x^4+58*x^3-40*x^2+14*x-2)/(2*x^7-x^6-32*x^5+80*x^4-80*x^3+40*x^2-10*x+1) lgdogf] A229749 4.28473 [(3539687618768*f(x)+38378198098375)*(8*f(x)*x^3+4*x^4-12*f(x)*x^2+98*x^3+6*f(x)*x+42*x^2-f(x)+3*x) ogf] A229749 4.31330 [{a(n+5)-6*a(n+4)+12*a(n+3)-8*a(n+2),a(0)=0,a(1)=3,a(2)=60,a(3)=422,a(4)=1840} ogf] A229749 7.98759 [-(208*x^2+364*x+60)/(8*x^4+192*x^3-14*x^2-36*x-3) lgdogf] A229749 8.51309 [-x*(4*x^3+98*x^2+42*x+3)/(2*x-1)^3 ogf] A229750 4.62431 [-(64*x^7+612*x^6+176*x^5-1706*x^4+1118*x^3-91*x^2-51*x-1)/(2*x-1)^3/(x-1)^3 ogf] A229751 3.87010 [(8*x^10-60*x^9-58*x^8+863*x^7+132*x^6-6731*x^5+7089*x^4-825*x^3-1352*x^2+395*x+3)/(2*x-1)^3/(x-1)^3 ogf] A229752 3.45291 [(208*x^10-440*x^9-1124*x^8+686*x^7+10370*x^6-20791*x^5+3670*x^4+13758*x^3-9355*x^2+1732*x+12)/(2*x-1)^3/(x-1)^3 ogf] A229753 3.49923 [(888*x^10-356*x^9-3870*x^8-8491*x^7+35422*x^6-14894*x^5-64351*x^4+85810*x^3-39050*x^2+6006*x+50)/(2*x-1)^3/(x-1)^3 ogf] A229754 3.16732 [2*(1360*x^10+504*x^9-2936*x^8-21756*x^7+30816*x^6+63288*x^5-187916*x^4+170088*x^3-65743*x^2+9071*x+105)/(2*x-1)^3/(x-1)^3 ogf] A229775 3.18160 [-(x^9-10*x^8+45*x^7-118*x^6+125*x^5-912*x^4-1101*x^3-912*x^2-122*x-20)/(x-1)^10 ogf] A229788 10.4015 [-2*x^2*(x-2)/(2*x-1)/(x-1)^3 ogf] A229788 11.0416 [-(-6*x^2+18*x-9)/(-2*x^3+7*x^2-7*x+2) lgdogf] A229788 4.07786 [{(-2*n^2-14*n-20)*a(n+1)+(3*n^2+17*n+18)*a(n+2)+(-n^2-5*n-4)*a(n+3),a(0)=0,a(1)=0,a(2)=4} ogf] A229788 5.31632 [-(27*f(x)-16)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+2*x^3-5*f(x)*x-4*x^2+f(x)) ogf] A229793 11.4264 [-(-5*x^2+5)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A229795 7.48637 [-(-x^4+6*x^3-18*x^2+2*x-29)/(-x^5+6*x^4-16*x^3+17*x^2-13*x+7) lgdogf] A229795 7.87628 [-(x^4-5*x^3+11*x^2-6*x+7)/(x-1)^5 ogf] A229796 3.15106 [-(x^9-10*x^8+46*x^7-121*x^6-420*x^5-4687*x^4-7676*x^3-4513*x^2-719*x-45)/(x-1)^10 ogf] A229802 8.04278 [-(-2*x^3-4*x^2-x+2)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A229816 16.0599 [-(x^6-x^5-x^3+2*x)/(x-1) ogf_with_Euler_transform] A229828 4.23861 [{(-n^2-4*n-4)*a(n+1)+(n^2+5*n+5)*a(n+2)+(-n-1)*a(n+3),a(0)=6,a(1)=6,a(2)=13} ogf] A229829 7.66913 [(x^8+x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A229834 10.1691 [-(x^2+4*x+1)/(x-1)^3/(x+1)^4 ogf] A229834 12.9552 [-(-5*x^3-23*x^2-5*x-3)/(-x^4-4*x^3+4*x+1) lgdogf] A229838 9.67476 [-(x^5-x^4-x^3-2*x^2-2*x-3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A229841 4.4202 [-(1030*f(x)-5517)*(5*f(x)*x^4+f(x)*x^3-2*f(x)*x^2+9*x^3-5*f(x)*x+f(x)-3) ogf] A229841 9.18040 [-3*(3*x^3-1)/(x-1)/(5*x^3+6*x^2+4*x-1) ogf] A229852 8.54895 [-3*(x^4+24*x^3+22*x^2+24*x+1)/(x+1)^2/(x-1)^3 ogf] A229853 14.3901 [-(-383*x-385)/(-383*x^2+382*x+1) lgdogf] A229853 17.1456 [(383*x+1)/(x-1)^2 ogf] A229853 8.57282 [(768*f(x)+147457)*(f(x)*x^2-2*f(x)*x+f(x)-383*x-1) ogf] A229853 9.59339 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=385} ogf] A229855 14.1500 [-(127*x+641)/(127*x^2+130*x-257) lgdogf] A229855 16.7490 [(127*x+257)/(x-1)^2 ogf] A229855 8.54895 [(768*f(x)+213505)*(f(x)*x^2-2*f(x)*x+f(x)-127*x-257) ogf] A229855 9.54301 [{-a(n+2)+2*a(n+1)-a(n),a(0)=257,a(1)=641} ogf] A229858 11.9010 [-(x^5-x^4+x^2+x-3)/(x-1)^2 ogf] A229858 8.55386 [-(3*x^5-7*x^4+4*x^3-3*x+5)/(-x^6+2*x^5-x^4-x^3+4*x-3) lgdogf] A229903 3.59685 [{a(n+3)-a(n+2)-1000000*a(n+1)+1000000*a(n),a(0)=190,a(1)=19190,a(2)=191919190} ogf] A229903 5.83959 [190*(10000*x^2+100*x+1)/(x-1)/(1000*x+1)/(1000*x-1) ogf] A229912 8.99011 [-x*(3*x^3-2*x^2-6*x+3)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A229963 11.0604 [2048*x/(1+(1+4*x)^(1/2))^11 revogf] A229975 12.6910 [(5*x+2)/(x-1)/(10*x-1)/(x+1) ogf] A229975 5.72136 [-(10795459*f(x)+1051300)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+f(x)-5*x-2) ogf] A229975 5.96585 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=2,a(1)=25,a(2)=252} ogf] A229975 7.93188 [-(100*x^3+55*x^2-4*x-25)/(50*x^4+15*x^3-52*x^2-15*x+2) lgdogf] A230018 11.3805 [(7*x^2+13*x+7)/(x-1)^4 ogf] A230018 11.8900 [-(-14*x^2-53*x-41)/(-7*x^3-6*x^2+6*x+7) lgdogf] A230018 3.88601 [{(-7*n-28)*a(n+4)+(23-6*n)*a(n+3)+(65+6*n)*a(n+2)+(21+7*n)*a(n+1),a(0)=7,a(1)=41,a(2)=129,a(3)=298} ogf] A230018 5.73116 [(12726*f(x)+155689)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-7*x^2+f(x)-13*x-7) ogf] A230024 4.85277 [-(x^15+15*x^14+4*x^13+13*x^12+x^11+3*x^10+4*x^9+9*x^8+x^7+7*x^6+4*x^5+5*x^4+x^3+11*x^2+4*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A230051 16.3742 [(f(x)*x-f(x)+1)^3 egf] A230051 4.87974 [9*(x^9-17*x^8-980179200*x+8821612800)/(24301*x^10-437418*x^9+1968957*x^8+8821612800*x^2-88216128000*x+79394515200) egf] A230056 14.2217 [-(-6*x+8)/(-5*x^3+9*x^2-2*x-2) lgdegf] A230056 15.0267 [-1/2*(5*x^2-4*x-2)/(x-1)^2 egf] A230056 3.98207 [{(15*n^2+15*n)*a(n)+(8*n^2+17*n+27)*a(n+1)+(n^2-n-2)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=9} ogf] A230056 8.47251 [(f(x)+15)*(2*f(x)*x^2-4*f(x)*x+5*x^2+2*f(x)-4*x-2) egf] A230057 99.9999 Evaluated at exp(-Pi) 1/2*Pi/GAMMA(3/4)^8*GAMMA(11/12)^2*GAMMA(7/12)^2 A230063 10.4597 [-9*x*(2*x-1)/(2*x+1)/(4*x^2-9*x+1) ogf] A230063 5.46124 [{a(n+3)-7*a(n+2)-14*a(n+1)+8*a(n),a(0)=0,a(1)=9,a(2)=45} ogf] A230063 5.66166 [(5*f(x)+9)*(8*f(x)*x^3-14*f(x)*x^2-7*f(x)*x+18*x^2+f(x)-9*x) ogf] A230063 8.01455 [-(-32*x^3+52*x^2-28*x-5)/(-16*x^4+36*x^3-9*x+1) lgdogf] A230071 4.50969 [{(n+2)*a(n+1)-a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=6} ogf] A230074 15.3549 [-(2*x^3-2*x^2-2*x-2)/(x^4-1) lgdogf] A230074 17.3829 [-(x-1)/(x+1)/(x^2+1) ogf] A230074 36.7802 [[x^3-2] ogf_with_Euler_transform] A230074 8.22584 [{-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=1} ogf] A230074 8.8586 [(6*f(x)-17)*(f(x)*x^3+f(x)*x^2+f(x)*x+f(x)+x-1) ogf] A230075 10.5896 [{-a(n+4)-a(n),a(0)=2,a(1)=1,a(2)=0,a(3)=1} ogf] A230075 17.3829 [f(x)*x^4-x^3+f(x)-x-2 ogf] A230075 18.8019 [(x+1)*(x^2-x+2)/(x^4+1) ogf] A230080 7.08876 [-x*(x^3-x^2-4*x+3)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A230081 8.14654 [x*(x^2-x-4)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A230089 11.2748 [-(4*x^5-x^4-2*x^3-2*x^2-2*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A230093 29.2417 [-x^19+x^10+x ogf_with_Euler_transform] A230094 8.90207 [-(16*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-101)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A230096 10.7712 [2*f(x)*x^4+f(x)*x^2+2*x^3-x^2-f(x)+1 ogf] A230096 13.2433 [-(2*x^3-x^2+1)/(2*x^2-1)/(x^2+1) ogf] A230100 7.01812 [-(f(x)*x^2-2*f(x)*x+f(x)+9999999999999*x-10000000000001)^2 ogf] A230102 6.65652 [-(28*x^10+12*x^9+24*x^8+12*x^7+4*x^6+6*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1) ogf] A230113 5.70544 [-(4*x^16+2*x^15-x^13-x^12-x^11+2*x^9+x^8-x^7-x^6-x^5+x^3+x^2+x+3)/(x-1)/(x^16+1) ogf] A230122 4.87411 [-f(x)^2*x^4-f(x)^2*x^3+f(x)^2*x^2+f(x)*x^2+2*f(x)*x-x^2-f(x)-x+1 ogf] A230128 10.9906 [x^4*(2*x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A230149 9.75433 [x^5*(2*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A230167 5.72879 [x^5*(2*x^9-2*x^6-3*x^5-5*x^4-4*x^3-4*x^2-2*x-2)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A230170 4.50437 [-(8*x^3-16*x^2-12*x-3)*(2*x^3-11*x^2+x-1)/(16*x^7+40*x^6+160*x^5+62*x^4+67*x^3-2*x^2+6*x-1) ogf] A230179 12.3298 [-(8*x-9)/(4*x^2-9*x+1) lgdogf] A230179 17.9343 [3/(4*x^2-9*x+1) ogf] A230179 6.80267 [(5605*f(x)+2868)*(4*f(x)*x^2-9*f(x)*x+f(x)-3) ogf] A230179 7.13051 [{-a(n+2)+9*a(n+1)-4*a(n),a(0)=3,a(1)=27} ogf] A230180 5.38367 [-3*(9*x^4-69*x^3+50*x^2-25*x+3)/(x-1)/(x^4-17*x^3+72*x^2-25*x+1) ogf] A230185 6.40287 [3*x*(3*x^4-3*x^3-4*x^2-3*x+3)/(x-1)/(x+1)/(5*x^3+6*x^2+4*x-1) ogf] A230193 5.63673 [(3*x^12+3*x^11+3*x^10+2*x^9+x^8+3*x^7+3*x^6+3*x^5+x^4+2*x^3+3*x^2+3*x+3)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A230196 10.6461 [x^6*(2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A230197 6.83958 [x^7*(2*x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A230198 7.58324 [x^8*(2*x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A230204 4.45446 [-(-2*x^12+x^10-2*x^8-2*x^4+x-2)/(x^13-x^12+x^9-x^8+x^5-x^4+x-1) ogf_with_Euler_transform] A230205 3.83118 [-(-2*x^12+x^11-x^10-x^8-2*x^4+x^3-x-1)/(x^13-x^12+x^9-x^8+x^5-x^4+x-1) ogf_with_Euler_transform] A230216 5.94367 [-f(x)*(4*x^5+f(x)*x^3+2*x^4+f(x)*x^2+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A230216 9.16026 [-(4*x^5+2*x^4+x^3+x^2+x+1)/(x^3+x^2+x-1) ogf] A230231 4.54840 [5*(x^10-19*x^9-33522128640*x+335221286400)/(46184*x^11-923680*x^10+4618805*x^9+167610643200*x^2-1843717075200*x+1676106432000) egf] A230239 8.34888 [x*(3*x+1)*(x+1)*(x^2+1)*(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A230240 5.71430 [x*(5*x^11+3*x^10+x^9+2*x^8+6*x^7+3*x^6+3*x^5+4*x^4+2*x^3+3*x^2+3*x+1)/(x+1)/(x^4-x^2+1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A230245 10.4516 [2*x*(x-1)/(4*x^3+x^2+4*x-1) ogf] A230245 5.36705 [{a(n+3)-4*a(n+2)-a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=6} ogf] A230245 5.36706 [-(3*f(x)+2)*(4*f(x)*x^3+f(x)*x^2+4*f(x)*x-2*x^2-f(x)+2*x) ogf] A230245 7.35485 [-(-8*x^3+11*x^2+2*x+3)/(-4*x^4+3*x^3-3*x^2+5*x-1) lgdogf] A230257 7.97500 [x^9*(2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^2 ogf] A230267 8.05416 [-(x^3-2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A230269 10.3343 [-(-6*x^2-2*x+4)/(-2*x^3-x^2+4*x-1) lgdogf] A230269 14.6976 [2*x^2/(x-1)/(2*x^2+3*x-1) ogf] A230269 6.01267 [{-a(n+3)+4*a(n+2)-a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A230269 8.16535 [2*f(x)*x^3+f(x)*x^2-4*f(x)*x-2*x^2+f(x) ogf] A230276 7.44224 [-x*(x^4+3*x^3+4*x^2+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A230278 14.8197 [-(-6*x+4)/(x^2-1) ogf_with_Euler_transform] A230278 99.9999 Evaluated at exp(-Pi) 1/16*exp(2/3*Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A230280 14.8097 [-(6*x+4)/(-x^2+1) ogf_with_Euler_transform] A230280 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/3*Pi)*Pi^(3/2)*2^(1/2)/GAMMA(3/4)^6 A230307 10.8608 [-(5777*x^2-8830*x+3331)/(x-1)^3 ogf] A230307 5.10239 [-(97278066356*f(x)+1673189881912579)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5777*x^2-f(x)-8830*x+3331) ogf] A230307 6.33547 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3331,a(1)=1163,a(2)=-727} ogf] A230307 8.73857 [-(5777*x^2-6106*x+1163)/(5777*x^3-14607*x^2+12161*x-3331) lgdogf] A230322 7.94549 [-(-x^3+x)/(-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A230331 10.6825 [-2*x*(2*x+3)/(4*x^3+8*x^2+5*x-1) ogf] A230331 5.38854 [-(17*f(x)+18)*(4*f(x)*x^3+8*f(x)*x^2+5*f(x)*x+4*x^2-f(x)+6*x) ogf] A230331 5.43664 [{-a(n+3)+5*a(n+2)+8*a(n+1)+4*a(n),a(0)=0,a(1)=6,a(2)=34} ogf] A230331 6.99890 [-(16*x^3+52*x^2+48*x+17)/(8*x^4+28*x^3+34*x^2+13*x-3) lgdogf] A230363 3.67515 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 egf] A230368 5.90710 [-(4*x^10+4*x^9+4*x^8+5*x^7+3*x^6+3*x^5+3*x^4-5*x^3-x^2-x-1)/(x-1)/(x+1)/(2*x^2+1)/(2*x^2-1)/(x^2+1)/(x^4+1) ogf] A230370 5.14413 [-x^2*(11*x^8-5*x^7-21*x^6+6*x^5+9*x^4+x^2+3*x+3)/(x+1)^2/(x-1)^3 ogf] A230382 3.25695 [{(8*n^4+52*n^3+88*n^2+32*n)*a(n)+(-12*n^4-124*n^3-474*n^2-770*n-420)*a(n+1)+(3*n^3+23*n^2+54*n+40)*a(n+2),a(0)=1,a(1)=2} ogf] A230393 12.7001 [2*x^4/(6*x^5+9*x^4+4*x^3-4*x+1) ogf] A230393 6.79904 [6*x^5*f(x)+9*f(x)*x^4+4*f(x)*x^3-2*x^4-4*f(x)*x+f(x) ogf] A230393 7.73683 [-(-30*x^4-36*x^3-12*x^2+4)/(-6*x^5-9*x^4-4*x^3+4*x-1) lgdogf] A230402 3.55784 [-168*(9*x^10-2*x^9+22*x^8+6*x^7+11*x^6+52*x^5+11*x^4+6*x^3+22*x^2-2*x+9)/(x+1)/(x^2-x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A230411 11.2924 [-(x^28+x^9+x^4+x^2+x+1)/(x-1) ogf] A230412 13.0787 [x^22-x^19+x^4-x^2+1 ogf_with_Euler_transform] A230431 8.18690 [x^3*(19*x^26-19*x^25+5*x^7-5*x^6+2*x^2-2*x+1)/(x-1)^2 ogf] A230432 7.38702 [-x*(102*x^28-102*x^27+24*x^9-24*x^8+7*x^4-7*x^3+3*x^2-x-1)/(x-1)^2 ogf] A230442 18.2520 [-(3*x+2)/(-x^2+1) ogf_with_Euler_transform] A230442 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/6*Pi)*Pi^(3/4)*2^(3/4)/GAMMA(3/4)^3 A230462 8.35586 [(x^6+10*x^5+2*x^4+4*x^3+2*x^2+10*x+1)/(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A230464 3.64568 [-2*x^2*(108*x^4-36*x^3-525*x^2+8*x+57)/(216*x^7+360*x^6-186*x^5-91*x^4-66*x^3+12*x^2+12*x-1) ogf] A230470 4.19344 [(f(x)-3)*(24*x^5*f(x)+20*f(x)*x^4-12*f(x)*x^3-f(x)*x^2+36*x^3+6*f(x)*x-f(x)) ogf] A230470 9.22557 [-36*x^3/(x+1)/(24*x^4-4*x^3-8*x^2+7*x-1) ogf] A230501 10.2658 [-(x^43-x^42+x^41+x^14+x^3+1)/(x-1) ogf] A230509 8.14526 [2*x^3*(x-1)/(12*x^5+9*x^4-5*x^3-4*x^2+5*x-1) ogf] A230520 10.2566 [-6*x*(x+2)/(18*x^3+9*x^2+6*x-1) ogf] A230520 5.26207 [-(13*f(x)+24)*(18*f(x)*x^3+9*f(x)*x^2+6*f(x)*x+6*x^2-f(x)+12*x) ogf] A230520 5.30822 [{a(n+3)-6*a(n+2)-9*a(n+1)-18*a(n),a(0)=0,a(1)=12,a(2)=78} ogf] A230520 6.79929 [-(36*x^3+117*x^2+36*x+13)/(18*x^4+45*x^3+24*x^2+11*x-2) lgdogf] A230529 9.44778 [2*x^6/(10*x^7+17*x^6+12*x^5+8*x^4+4*x^3-4*x+1) ogf] A230535 16.0293 [-(2*x^2-2)/(-x^4-1) ogf_with_Euler_transform] A230536 12.4197 [-(-x^2+1)/(-x^4+x^2-1) ogf_with_Euler_transform] A230539 10.9199 [-64*f(x)*x^2+16*f(x)*x-f(x)+12*x ogf] A230539 16.9259 [12*x/(8*x-1)^2 ogf] A230539 23.3460 [16/(-8*x+1) lgdogf] A230539 8.05994 [{a(n+2)-16*a(n+1)+64*a(n),a(0)=0,a(1)=12} ogf] A230540 11.3445 [-81*f(x)*x^2+18*f(x)*x-f(x)+6*x ogf] A230540 17.7439 [6*x/(9*x-1)^2 ogf] A230540 23.8626 [18/(-9*x+1) lgdogf] A230540 8.33752 [{a(n+2)-18*a(n+1)+81*a(n),a(0)=0,a(1)=6} ogf] A230547 3.73468 [{(27*n^3+351*n^2+1518*n+2184)*a(n+1)+(-4*n^3-58*n^2-256*n-312)*a(n+2),a(0)=1,a(1)=9} ogf] A230548 5.09681 [-x*(x^9+x^7+2*x^4+3*x^3+2*x^2+2*x+1)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A230549 4.42066 [(3*x^10+4*x^8-3*x^7-8*x^6-4*x^5+x^4-4*x^3-4*x^2-5*x-4)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A230550 4.20216 [(2*x^10-x^9-2*x^8-8*x^7-11*x^6-8*x^5-6*x^4-7*x^3-4*x^2-2*x-1)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A230553 2.76775 [f(x)^2*x^2-f(x)*x^3-3*f(x)^2*x+f(x)^2+5*f(x)*x-x^2-2*f(x)-2*x+1 ogf] A230567 4.25308 [-2*x^2*(x^4-22*x^3+9*x^2-x+1)/(x^7-44*x^6+476*x^5+13*x^4-12*x^3-66*x^2+17*x-1) ogf] A230579 5.36927 [-(171*x^8+85*x^7+43*x^6+21*x^5+11*x^4+5*x^3+3*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A230584 9.15788 [(x^6-2*x^5+x^3+x^2-x-2)/(x+1)^2/(x-1)^3 ogf] A230585 4.84076 [{(40*n^2+100*n)*a(n)+(-46*n^2-238*n-252)*a(n+1)+(9*n^2+63*n+90)*a(n+2),a(0)=3,a(1)=5} ogf] A230585 6.73497 [-f(x)^2*x^3+2*f(x)*x^3-2*f(x)*x^2-x^3-2*f(x)*x+2*x^2+f(x)+x-3 ogf] A230586 7.42192 [(x^4-4*x^3+126*x^2-4*x+1)/(x-1)^6 ogf] A230586 7.56464 [-(-2*x^4+8*x^3-492*x^2-232*x-2)/(-x^5+5*x^4-130*x^3+130*x^2-5*x+1) lgdogf] A230588 4.81639 [-(21*f(x)-10)*(8*f(x)*x^4+5*f(x)*x^3-5*f(x)*x^2-2*x^3+5*f(x)*x+2*x^2-f(x)) ogf] A230588 9.42339 [2*(x-1)*x^2/(8*x^4+5*x^3-5*x^2+5*x-1) ogf] A230610 6.04962 [-2*x*(x^3-6*x^2+1)/(x-1)/(x^4-11*x^3+31*x^2-14*x+1) ogf] A230611 4.24832 [4*x*(2*x^5-111*x^4+103*x^3-5*x^2-3*x-2)/(8*x^6-x^5+79*x^4+42*x^3-126*x^2+31*x-1) ogf] A230628 10.7964 [-f(x)*x^2+2*f(x)*x-2*x^2-f(x)+4*x+4 ogf] A230628 14.4630 [-2*(x^2-2*x-2)/(x-1)^2 ogf] A230628 19.1635 [6/(x^3-3*x^2+2) lgdogf] A230628 7.37059 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=4,a(1)=12,a(2)=18} ogf] A230644 6.38397 [-(48778*x^6+17661*x^5+1885*x^4-41*x^3-65*x^2-20*x-2)/(707281*x^8-1680*x^4+1) ogf] A230645 5.35456 [-(707281*x^7+121945*x^6+16820*x^5+4118*x^4-840*x^3-142*x^2-21*x-5)/(707281*x^8-1680*x^4+1) ogf] A230647 10.8060 [-3*x*(2*x+1)*(x-1)/(4*x^4-9*x^2+1) ogf] A230647 6.33815 [-(118*f(x)-15)*(4*f(x)*x^4-9*f(x)*x^2+6*x^3-3*x^2+f(x)-3*x) ogf] A230648 3.89916 [(357460*f(x)-1510257)*(f(x)*x^4+f(x)*x^3-3*x^4-8*f(x)*x^2+12*x^3-3*f(x)*x+6*x^2+f(x)-9*x) ogf] A230648 7.27526 [3*x*(x+1)*(x^2-5*x+3)/(x^4+x^3-8*x^2-3*x+1) ogf] A230658 10.1947 [-3*x*(2*x^2-5*x-1)/(4*x^4-9*x^2+1) ogf] A230658 6.13661 [(590*f(x)+1137)*(4*f(x)*x^4-9*f(x)*x^2+6*x^3-15*x^2+f(x)-3*x) ogf] A230659 4.50469 [3*x*(16*x^8+44*x^6-54*x^5-94*x^4-216*x^3+118*x^2-45*x-5)/(32*x^8-2*x^6-230*x^4+59*x^2-1) ogf] A230670 4.96294 [-3*(21*x^4-31*x^3+24*x^2-15*x-1)/(19*x^5-30*x^4+9*x^3-9*x^2-14*x+1) ogf] A230676 6.68814 [3*x*(4*x^2-4*x-5)/(8*x^5+12*x^4+20*x^3+6*x^2+5*x-1) ogf] A230683 3.83020 [-2*x^3*(x^5-38*x^4+9*x^3+8*x^2-x+1)/(x^9-76*x^8+1404*x^7+671*x^6+14*x^5+20*x^4-66*x^3-64*x^2+17*x-1) ogf] A230701 11.0814 [-2*(x+1)/(x-1)/(x^4+x^3-5*x^2-2*x+1) ogf] A230718 5.28284 [(27013824*f(x)-27772249)*(-216*x^3-25*x^2+f(x)-3*x-1) ogf] A230723 5.00308 [x*(x^8-2*x^7-x^6-12*x^5-16*x^4-19*x^3-7*x^2-3*x-1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A230726 4.98781 [-2*x*(x-1)*(x^3-30*x^2+1)/(x^6-61*x^5+918*x^4-87*x^3+12*x^2-16*x+1) ogf] A230776 5.53362 [[2] ogf_with_Euler_transform] A230782 4.98489 [-2*x*(24*x^4+26*x^3+11*x^2-13*x-3)/(192*x^6-8*x^5+40*x^4-44*x^3+3*x^2-10*x+1) ogf] A230800 11.4891 [-2*x*(x-1)/(5*x^3-6*x^2-2*x+1) ogf] A230800 5.89980 [{a(n+3)-2*a(n+2)-6*a(n+1)+5*a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A230800 6.12035 [(f(x)+2)*(5*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x) ogf] A230800 7.79617 [-(-10*x^3+21*x^2-12*x-1)/(-5*x^4+11*x^3-4*x^2-3*x+1) lgdogf] A230813 5.29954 [(f(x)+2)*(4*f(x)*x^4-4*f(x)*x^3-f(x)*x^2+4*x^3-2*f(x)*x-2*x^2+f(x)) ogf] A230813 7.12126 [-(24*x^4-32*x^3+10*x^2+2*x)/(8*x^5-12*x^4+2*x^3-3*x^2+4*x-1) lgdogf] A230813 9.90784 [-2*x^2*(2*x-1)/(4*x^4-4*x^3-x^2-2*x+1) ogf] A230825 4.74018 [(7*f(x)+26)*(f(x)*x^4+3*f(x)*x^3-2*x^4+2*f(x)*x^2-2*x^3-4*f(x)*x+6*x^2+f(x)-2*x) ogf] A230825 8.30993 [2*x*(x-1)*(x^2+2*x-1)/(x^4+3*x^3+2*x^2-4*x+1) ogf] A230835 4.50246 [-(1357*f(x)+609)*(4*f(x)*x^4-8*f(x)*x^3+5*f(x)*x^2+4*x^3-8*f(x)*x-6*x^2+f(x)-2*x) ogf] A230835 8.75821 [-2*x*(2*x^2-3*x-1)/(x^2+1)/(4*x^2-8*x+1) ogf] A230863 13.0588 [(2*f(x)*x-f(x)+x)^3 ogf] A230864 12.2395 [-x*(x^15+x^3+x+1)/(x-1) ogf] A230874 2.98264 [-(65520*x^8+12*x^4+2*x^2+x+1)/(x-1) ogf] A230875 6.73623 [-x*(65520*x^15+12*x^7+2*x^3+x+1)/(x-1) ogf] A230893 11.9258 [-2*x*(x-1)/(2*x^3-3*x^2-2*x+1) ogf] A230893 6.12405 [{a(n+3)-2*a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=2} ogf] A230893 6.35299 [(f(x)+2)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x) ogf] A230893 8.49711 [-(-4*x^3+9*x^2-6*x-1)/(-2*x^4+5*x^3-x^2-3*x+1) lgdogf] A230904 10.2755 [2*x*(x^2+x-1)/(x^3-6*x^2+5*x-1) ogf] A230904 5.05992 [{a(n+4)-5*a(n+3)+6*a(n+2)-a(n+1),a(0)=0,a(1)=2,a(2)=8,a(3)=26} ogf] A230904 5.75784 [(7*f(x)+13)*(f(x)*x^3-6*f(x)*x^2-2*x^3+5*f(x)*x-2*x^2-f(x)+2*x) ogf] A230904 6.74657 [-(x^4+2*x^3-14*x^2+14*x-4)/(x^5-5*x^4-2*x^3+10*x^2-6*x+1) lgdogf] A230905 3.79263 [2*x*(x^9-x^8+10*x^7-16*x^6-32*x^5+51*x^4-34*x^2+21*x-4)/(2*x-1)/(2*x^7-4*x^6+8*x^5+5*x^4-23*x^3+21*x^2-8*x+1) ogf] A230911 3.94944 [-2*x^2*(x-1)*(x^3-46*x^2+9*x-4)/(x^7-93*x^6+2152*x^5-919*x^4+469*x^3-91*x^2+18*x-1) ogf] A230920 7.02570 [6*x*(x+2)*(x-1)/(4*x^5-2*x^4+16*x^3+14*x^2+5*x-1) ogf] A230928 14.0907 [-2*(x+1)/(5*x^2-1)/(x^2+1) ogf] A230928 7.04535 [-(-15*x^4-20*x^3-4*x^2-8*x-1)/(-5*x^5-5*x^4-4*x^3-4*x^2+x+1) lgdogf] A230928 7.42412 [-(334*f(x)-317)*(5*f(x)*x^4+4*f(x)*x^2-f(x)+2*x+2) ogf] A230929 10.3852 [-(-9*x^2+2*x-3)/(-3*x^3+x^2-3*x+1) lgdogf] A230929 16.2110 [-2/(3*x-1)/(x^2+1) ogf] A230929 5.88188 [{a(n+3)-3*a(n+2)+a(n+1)-3*a(n),a(0)=2,a(1)=6,a(2)=16} ogf] A230929 6.2703 [-(73*f(x)+270)*(3*f(x)*x^3-f(x)*x^2+3*f(x)*x-f(x)+2) ogf] A230930 4.91702 [2*(8*x^8-16*x^6+4*x^5+13*x^4-12*x^3-13*x^2+8*x+4)/(16*x^10-24*x^8+10*x^6-3*x^4-16*x^2+1) ogf] A230937 5.14015 [2*(8*x^6+4*x^5-14*x^4-12*x^3+x^2+8*x+1)/(16*x^10-24*x^8+10*x^6-3*x^4-16*x^2+1) ogf] A230942 7.35218 [-2*(x^4-x^3-14*x^2+x-3)/(x^5-x^4-14*x^3-3*x+1) ogf] A230964 3.78706 [-2*x*(64*x^6+192*x^5+108*x^4-58*x^3-7*x^2-10*x+3)/(256*x^8+320*x^7-448*x^6-232*x^5-132*x^4+38*x^3+10*x^2+7*x-1) ogf] A230970 13.2013 [-16*x/(5*x-1)/(x+1)/(5*x^2+1) ogf] A230970 6.09292 [(21*f(x)+20)*(25*f(x)*x^4+20*f(x)*x^3+4*f(x)*x-f(x)+16*x) ogf] A230970 8.68032 [-(-100*x^3-60*x^2-4)/(-25*x^4-20*x^3-4*x+1) lgdogf] A230971 7.22592 [-16*(3*x-1)*(3*x+1)/(x-1)/(9*x-1)/(x+1)/(9*x^2+1) ogf] A230983 11.7184 [(x^2-x-1)/(2*x^6-5*x^4+5*x^2-1) ogf] A230984 5.42944 [-(x^6-2*x^5-2*x^4+4*x^3+3*x^2-2)/(x^8+x^7-4*x^6-2*x^5+6*x^4+3*x^3-3*x^2-2*x+1) ogf] A230990 3.83436 [-2*x*(2*x^7-12*x^6+22*x^5-15*x^4+7*x^3+6*x^2-6*x+1)/(4*x^9-36*x^8+104*x^7-100*x^6-4*x^5+47*x^4-25*x^3-5*x^2+7*x-1) ogf] A231000 9.03288 [x*(x^2-x+1)*(5*x^4+6*x^3+6*x^2+6*x+5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A231001 10.9741 [x*(3*x^2-2*x+3)*(2*x^2+3*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A231002 11.7091 [-(-5*x^3-41*x^2-43*x-23)/(-5*x^4-18*x^3+18*x+5) lgdogf] A231002 14.5419 [(5*x^2+18*x+5)/(x+1)/(x-1)^2 ogf] A231002 7.57647 [-(13*f(x)-536)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-18*x-5) ogf] A231002 7.90877 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=23,a(2)=33} ogf] A231025 8.38392 [2*x*(x^2-2*x-1)/(x^5-4*x^4+8*x^2+4*x-1) ogf] A231032 4.15345 [-2*x^2*(32*x^5+148*x^4-184*x^3+29*x-5)/(32*x^9+176*x^8-60*x^7-256*x^6-260*x^5+374*x^4-15*x^3+x^2-9*x+1) ogf] A231038 5.71577 [-4*x^3*(4*x^3-2*x^2+3*x-1)/(16*x^7-24*x^6+20*x^5-32*x^4-6*x^2-3*x+1) ogf] A231044 5.58028 [2*x*(x-1)*(8*x^2+11*x+7)/(8*x^6-8*x^5+12*x^4+19*x^3+19*x^2+3*x-1) ogf] A231045 4.75915 [{a(n+3)-8*a(n+2)-33*a(n+1)+68*a(n),a(0)=0,a(1)=32,a(2)=128} ogf] A231045 4.92912 [(f(x)+8)*(68*f(x)*x^3-33*f(x)*x^2-8*f(x)*x+128*x^2+f(x)-32*x) ogf] A231045 6.13401 [-(-544*x^3+336*x^2-66*x-4)/(-272*x^4+200*x^3-x^2-12*x+1) lgdogf] A231045 8.90421 [-32*x*(4*x-1)/(68*x^3-33*x^2-8*x+1) ogf] A231050 7.28669 [2*x*(x+1)*(2*x^3-8*x^2+3*x+1)/(4*x^5-6*x^4-8*x^3-3*x+1) ogf] A231056 5.38764 [-x*(x^15-2*x^14+x^13-x^12+2*x^11-2*x^10+2*x^9-x^8+x^5-x^4+x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A231057 10.4870 [-(-3*x^2-2*x-3)/(-x^3-x^2-3*x+1) lgdogf] A231057 14.9149 [-2*x/(x^3+x^2+3*x-1) ogf] A231057 6.04657 [{a(n+3)-3*a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=6} ogf] A231057 8.71647 [f(x)*x^3+f(x)*x^2+3*f(x)*x-f(x)+2*x ogf] A231058 3.48448 [-2*x*(2*x^7+4*x^6-28*x^5+10*x^4+17*x^3-5*x^2-7*x+3)/(2*x^10+4*x^9-14*x^8-14*x^7-23*x^6+22*x^5+29*x^4-20*x^3-9*x^2+8*x-1) ogf] A231064 7.04951 [(5*x^15-5*x^14-5*x^12+5*x^11-5*x^10+5*x^9+4*x^5+x^4+4*x^3+7*x^2+4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A231065 5.20477 [(4*x^16-8*x^15+4*x^14-4*x^13+8*x^12-8*x^11+8*x^10-4*x^9+4*x^6-5*x^5+2*x^4+2*x^3-6*x^2+2*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A231067 9.10820 [-(2*x^5-4*x^3-x^2+3*x+1)/(2*x^6-5*x^4+5*x^2-1) ogf] A231081 6.60956 [-2*x*(4*x^3-13*x^2+4*x+1)/(16*x^5-64*x^4+30*x^3+12*x^2+3*x-1) ogf] A231087 13.2584 [-2*(7*x^2-38*x+25)/(x-1)/(x^2-5*x+1) ogf] A231087 6.52723 [-(1342719*f(x)+4216300)*(f(x)*x^3-6*f(x)*x^2+6*f(x)*x+14*x^2-f(x)-76*x+50) ogf] A231087 7.19101 [{-a(n+3)+6*a(n+2)-6*a(n+1)+a(n),a(0)=50,a(1)=224,a(2)=1058} ogf] A231087 7.64450 [-(-7*x^4+76*x^3-261*x^2+286*x-112)/(-7*x^5+80*x^4-295*x^3+385*x^2-188*x+25) lgdogf] A231101 5.4519 [(16491*f(x)-49409)*(3*f(x)*x^3+f(x)*x^2-x^2-f(x)+3) ogf] A231101 5.68639 [{a(n+3)-a(n+1)-3*a(n),a(0)=3,a(1)=0,a(2)=2} ogf] A231101 9.97800 [(x^2-3)/(3*x^3+x^2-1) ogf] A231103 10.8414 [-5*f(x)*x^2-4*f(x)*x+f(x)-2*x ogf] A231103 13.0539 [-(-10*x-4)/(-5*x^2-4*x+1) lgdogf] A231103 17.2876 [-2*x/(5*x-1)/(x+1) ogf] A231103 7.89679 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=0,a(1)=2} ogf] A231104 10.7136 [-9*f(x)*x^2-8*f(x)*x+f(x)-6*x ogf] A231104 12.9000 [-(-18*x-8)/(-9*x^2-8*x+1) lgdogf] A231104 17.0838 [-6*x/(x+1)/(9*x-1) ogf] A231104 7.80369 [{-a(n+2)+8*a(n+1)+9*a(n),a(0)=0,a(1)=6} ogf] A231105 4.83903 [-2*x*(16*x^4+10*x^3+15*x^2-3*x-10)/(2*x+1)/(16*x^5-24*x^4+10*x^3-3*x^2-16*x+1) ogf] A231125 8.81856 [2*(2*x^2-4*x-1)/(16*x^6-36*x^4+22*x^2-1) ogf] A231126 4.43118 [-2*(8*x^6-8*x^5-18*x^4+12*x^3+10*x^2+x-3)/(16*x^8+16*x^7-56*x^6-40*x^5+38*x^4+32*x^3-8*x^2-7*x+1) ogf] A231134 7.05485 [-(8*x^5-16*x^3-4*x^2+9*x+2)/(16*x^6-36*x^4+22*x^2-1) ogf] A231138 3.99756 [-(172248*f(x)+224869)*(4*f(x)*x^4-11*f(x)*x^3+12*x^3+6*f(x)*x-30*x^2-f(x)-8*x+18) ogf] A231138 7.50227 [-2*(6*x^3-15*x^2-4*x+9)/(4*x^4-11*x^3+6*x-1) ogf] A231181 12.6979 [-1/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A231181 7.46163 [-(5*x^4-12*x^3-9*x^2+8*x+1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) lgdogf] A231182 7.84308 [-(3*x^2-1)*(x^2+x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A231183 8.21391 [x*(3*x^3-4*x^2-x+1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A231184 8.99103 [-(4*x^2+x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A231185 10.5280 [(x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A231185 7.12186 [-(4*x^5-14*x^4+6*x^3+13*x^2-8*x)/(x^6-4*x^5+7*x^3-3*x^2-2*x+1) lgdogf] A231192 5.69258 [-(16*x^5+12*x^4+4*x^3-2*x^2+5*x-9)/(16*x^6+12*x^5-4*x^4+4*x^3-8*x+1) ogf] A231213 4.61866 [-(1417*f(x)+2085)*(2*f(x)*x^4-f(x)*x^3+f(x)*x^2+2*x^3-3*f(x)*x+x^2+f(x)+3*x-4) ogf] A231213 8.81744 [-(2*x^3+x^2+3*x-4)/(x-1)/(2*x^3+x^2+2*x-1) ogf] A231221 3.56140 [-(8*x^10-2*x^9-34*x^8+19*x^7+5*x^6+16*x^4-3*x^3-8*x^2-2*x+2)/(x-1)/(4*x^10+2*x^9-18*x^8-x^7+5*x^6+4*x^5+9*x^4+2*x^3-4*x^2-2*x+1) ogf] A231241 6.78344 [-2*x*(8*x^2+11*x+7)/(6*x^5+37*x^4+26*x^3+16*x^2+4*x-1) ogf] A231242 4.00110 [-4*x*(3*x^5+3*x^4+9*x^3-8*x^2-6*x-11)/(8*x^7-6*x^6+x^5-71*x^4-53*x^3-30*x^2-10*x+1) ogf] A231247 4.20186 [-(502*f(x)-353)*(4*f(x)*x^4+8*f(x)*x^3-4*x^4-3*f(x)*x^2-6*x^3+4*f(x)*x+6*x^2-f(x)+2*x) ogf] A231247 7.72933 [2*x*(2*x^3+3*x^2-3*x-1)/(4*x^4+8*x^3-3*x^2+4*x-1) ogf] A231248 4.25480 [2*x*(12*x^6+10*x^5-26*x^4-43*x^3-32*x^2+18*x+3)/(8*x^7+8*x^6-14*x^5-28*x^4-27*x^3+3*x^2-7*x+1) ogf] A231257 3.84017 [(785*f(x)-1764)*(16*f(x)*x^4-36*f(x)*x^3+29*f(x)*x^2+16*x^3-10*f(x)*x-26*x^2+f(x)+15*x-3) ogf] A231257 6.81171 [-(2*x-1)*(8*x^2-9*x+3)/(x-1)/(16*x^3-20*x^2+9*x-1) ogf] A231258 3.74967 [-2*(128*x^6-228*x^5+256*x^4-173*x^3+72*x^2-18*x+2)/(x-1)/(256*x^6-400*x^5+400*x^4-228*x^3+80*x^2-16*x+1) ogf] A231264 4.47293 [-(40*x^8-2*x^7+x^6-30*x^5-3*x^4+33*x^3-16*x^2-9*x+6)/(x-1)/(x+1)/(2*x^2-1)/(2*x^2-2*x+1)/(2*x^3+x^2+2*x-1) ogf] A231280 11.6910 [-(-34*x-4)/(-17*x^2-4*x+1) lgdogf] A231280 15.3828 [-2*x/(17*x^2+4*x-1) ogf] A231280 7.12863 [{-a(n+2)+4*a(n+1)+17*a(n),a(0)=0,a(1)=2} ogf] A231280 9.74247 [-17*f(x)*x^2-4*f(x)*x+f(x)-2*x ogf] A231281 5.42783 [-2*x*(x-1)*(x^2-14*x-3)/(x^5-29*x^4+190*x^3+86*x^2+9*x-1) ogf] A231295 5.64591 [(3*f(x)-1)*(4*f(x)*x^4-3*f(x)*x^2+2*x^3-2*f(x)*x+3*x^2+f(x)-1) ogf] A231295 9.98892 [-(2*x-1)*(x+1)^2/(x-1)/(4*x^3+4*x^2+x-1) ogf] A231296 4.28154 [-(4*x^8+4*x^7+3*x^6+7*x^5-14*x^4+9*x^3-8*x^2-3*x+2)/(x-1)/(x^2-x+1)/(4*x^5+8*x^4+5*x^3-8*x^2-2*x+1) ogf] A231303 11.8512 [-(4*x^2+52*x+16)/(x^3+9*x^2-9*x-1) lgdogf] A231303 3.95039 [{(n+3)*a(n+4)+(2+9*n)*a(n+3)+(-61-9*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=1,a(2)=16,a(3)=82} ogf] A231303 8.41051 [x*(x^2+10*x+1)/(x-1)^6 ogf] A231304 6.55602 [-x*(x^4+26*x^3+66*x^2+26*x+1)/(x+1)/(x-1)^7 ogf] A231305 5.90572 [x*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^8 ogf] A231305 6.97949 [-(-4*x^4-284*x^3-1644*x^2-884*x-64)/(-x^5-55*x^4-190*x^3+190*x^2+55*x+1) lgdogf] A231306 4.67410 [-x*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x+1)/(x-1)^9 ogf] A231307 3.85906 [x*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^10 ogf] A231310 5.74166 [-(16*x^4-40*x^3-24*x^2-15*x+9)/(16*x^5-40*x^4-24*x^3-2*x^2+8*x-1) ogf] A231317 11.4927 [-6*(2*x-1)/(2*x+1)/(4*x^2-8*x+1) ogf] A231317 5.44913 [{-a(n+3)+6*a(n+2)+12*a(n+1)-8*a(n),a(0)=6,a(1)=24,a(2)=216} ogf] A231317 5.5938 [-(659*f(x)-333)*(8*f(x)*x^3-12*f(x)*x^2-6*f(x)*x+f(x)+12*x-6) ogf] A231317 8.20908 [-(32*x^3-48*x^2+24*x+4)/(16*x^4-32*x^3+8*x-1) lgdogf] A231337 7.35098 [-(6*x^4+8*x^3-8*x^2-5*x+3)/(x-1)/(3*x^2+x-1)/(x^2+x-1) ogf] A231338 5.20783 [-(3*x^6+2*x^5+10*x^4-5*x^3+x^2-11*x+4)/(3*x-1)/(x-1)/(x^2+x+1)/(x^3+2*x-1) ogf] A231356 5.10183 [-(3*x^6+13*x^5+11*x^4-5*x^3-7*x^2-x+1)/(x-1)/(9*x^3+6*x^2+x-1)/(x^3+2*x^2+x-1) ogf] A231376 7.06800 [-(2*x^5+5*x^4-x^3+5*x^2-4*x-2)/(x^5+2*x^4-2*x^3+2*x^2-3*x+1) ogf] A231377 3.41457 [-(2*x^10+8*x^9+13*x^8+3*x^7-15*x^6-12*x^5-6*x^4-13*x^3+11*x^2-3*x+4)/(2*x^10+6*x^9-2*x^8-9*x^7+8*x^6-3*x^5-14*x^4+16*x^3-11*x^2+6*x-1) ogf] A231390 5.66225 [(2269*f(x)-14670)*(2*f(x)*x^3+8*x^4-f(x)*x^2+4*x^3-2*f(x)*x+8*x^2+f(x)+6*x-7) ogf] A231390 9.85381 [-(8*x^4+4*x^3+8*x^2+6*x-7)/(x-1)/(2*x-1)/(x+1) ogf] A231397 5.62566 [-(32*x^5-32*x^4-18*x^3+17*x^2+5*x-3)/(2*x-1)/(x-1)/(8*x^4-6*x^2-x+1) ogf] A231413 4.43643 [(344496*f(x)+224869)*(4*f(x)*x^4-11*f(x)*x^3+6*x^3+6*f(x)*x-15*x^2-f(x)-4*x+9) ogf] A231413 8.18552 [-(6*x^3-15*x^2-4*x+9)/(4*x^4-11*x^3+6*x-1) ogf] A231420 4.98290 [-(24*x^5-60*x^4+36*x^3+90*x^2+x-9)/(16*x^6-40*x^5+24*x^4+58*x^3-4*x^2-8*x+1) ogf] A231430 14.2951 [x^3/(3*x-1)/(2*x^3+2*x^2+2*x-1) ogf] A231430 7.65295 [6*f(x)*x^4+4*f(x)*x^3+4*f(x)*x^2-x^3-5*f(x)*x+f(x) ogf] A231430 9.23954 [-(24*x^3+12*x^2+8*x-5)/(6*x^4+4*x^3+4*x^2-5*x+1) lgdogf] A231444 6.15117 [-(9*x^4-35*x^3+39*x^2-16*x+2)/(x-1)/(9*x^2-7*x+1)/(x^2-3*x+1) ogf] A231445 4.20207 [-(108*x^6-402*x^5+645*x^4-516*x^3+211*x^2-42*x+3)/(x-1)/(54*x^3-45*x^2+13*x-1)/(2*x^3-5*x^2+5*x-1) ogf] A231458 6.02668 [-(12*x^6+16*x^5+6*x^4+16*x^3-16*x^2-13*x+7)/(x-1)/(3*x^2+x-1)/(x^2+x-1) ogf] A231475 12.6523 [-(x^5+4*x^4+3*x^3+4*x^2+3*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A231482 13.5786 [-(18*x-6)/(9*x^2-10*x+1) lgdogf] A231482 27.7812 [-(18*x-6)/(9*x^2-10*x+1) lgdogf] A231482 4.40862 [{(-n-3)*a(n+3)+(26+10*n)*a(n+2)+(-27-9*n)*a(n+1),a(0)=1,a(1)=6,a(2)=39} ogf] A231482 6.65616 [9*f(x)^2*x^4-28*f(x)^2*x^3+30*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 ogf] A231509 6.79637 [-(4*x^5+4*x^4+5*x^3-2*x-2)/(4*x^6+2*x^5+4*x^4-3*x^3-x^2-2*x+1) ogf] A231524 7.08154 [-(18*x^4+3*x^3-6*x^2+6*x-4)/(18*x^5-6*x^4-x^3+3*x^2-4*x+1) ogf] A231530 5.21110 [{(-n^2-4*n-5)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=1,a(2)=1} ogf] A231531 6.34645 [{(-n^2-4*n-5)*a(n+1)+(2*n+5)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A231538 4.71384 [-(x^7-x^6+x^5-2*x^4+9*x^3-4*x^2+2*x-2)/(x^8-x^7+2*x^6-3*x^5+8*x^4-5*x^3+4*x^2-4*x+1) ogf] A231552 12.5821 [-(2*x^3+4*x^2-x)/(x^2+2*x+1) revogf] A231552 7.94657 [2*f(x)^3*x^2+f(x)^2*x^2+4*f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A231553 12.4157 [-(3*x^3+6*x^2-x)/(x^2+2*x+1) revogf] A231553 7.84151 [3*f(x)^3*x^2+f(x)^2*x^2+6*f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A231554 11.9330 [-(2*x^3+2*x^2-x)/(4*x^2+4*x+1) revogf] A231554 7.53663 [2*f(x)^3*x^2+4*f(x)^2*x^2+2*f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A231556 12.2611 [-(-2*x^3+4*x^2-x)/(x^2-2*x+1) revogf] A231556 7.74387 [2*f(x)^3*x^2-f(x)^2*x^2-4*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A231559 10.6735 [-x^2*(x^2+2)/(x^2+1)/(x-1)^3 ogf] A231559 9.23436 [-(-3*x^4-11*x^2+2*x-6)/(-x^5+x^4-3*x^3+3*x^2-2*x+2) lgdogf] A231560 10.6216 [-(-24*x^25+25*x^24+1)/(x^26-x^25+x-1) lgdogf] A231560 18.7143 [-x*(x+1)*(x^4-x^3+x^2-x+1)*(x^20-x^15+x^10-x^5+1)/(x-1) ogf] A231600 6.59475 [-x^5*(x^4-x^2+1)*(x^14+x^12+x^4+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A231615 13.2915 [-(-6*x^3+6*x^2-x)/(4*x^2-4*x+1) revogf] A231615 8.39462 [6*f(x)^3*x^2-4*f(x)^2*x^2-6*f(x)^2*x+4*f(x)*x+f(x)-1 ogf] A231616 12.2779 [-(-12*x^3+8*x^2-x)/(9*x^2-6*x+1) revogf] A231616 7.80159 [12*f(x)^3*x^2-9*f(x)^2*x^2-8*f(x)^2*x+6*f(x)*x+f(x)-1 ogf] A231618 11.4833 [-(3*x^3+2*x^2-x)/(9*x^2+6*x+1) revogf] A231618 7.25262 [3*f(x)^3*x^2+9*f(x)^2*x^2+2*f(x)^2*x+6*f(x)*x-f(x)+1 ogf] A231622 15.8453 [-1/2*I/(2*x-1)^(1/2)/x*(2*x+1)-1/2/(2*x-1)/x lgdegf] A231622 8.61377 [-1/2*I/(2*x-1)^(1/2)/x*(1+2*x)-1/2/(2*x-1)/x lgdegf] A231622 8.61377 [-1/2*I/x*(1+2*x)/(2*x-1)^(1/2)-1/2/(2*x-1)/x lgdegf] A231636 6.18208 [-(x-1)^2/(16*x^7-48*x^6+48*x^5-14*x^4+4*x^3-11*x^2+7*x-1) ogf] A231643 11.9968 [-(-6*x^2+8*x-3)/(-6*x^3+13*x^2-9*x+2) lgdogf] A231643 16.5913 [-5*(3*x-2)/(2*x-1)/(x-1) ogf] A231643 8.29564 [-(14*f(x)+265)*(2*f(x)*x^2-3*f(x)*x+f(x)+15*x-10) ogf] A231643 9.28324 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=10,a(1)=15} ogf] A231684 9.90137 [x*(7*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A231690 10.6959 [-(-x^4+x^3+3*x^2-x)/(-x^3+x^2+3*x+1) revogf] A231691 15.9933 [-x+ln(x^2+3*x+1)-ln(x+1) revegf] A231703 4.31646 [-(x^8-x^7+x^6-x^5+2*x^4-8*x^3-4*x^2+2*x+5)/(x^9-2*x^8+3*x^7-3*x^6+3*x^5-8*x^4+4*x^3-x^2+3*x-1) ogf] A231765 4.93405 [-(32*x^8-8*x^7-10*x^5-80*x^4+6*x^3+x^2+6*x+9)/(2*x^3-x^2-3*x+1)/(4*x^6+6*x^4-x^2-1) ogf] A231779 5.85197 [-(2*x^5-8*x^4-5*x^3+20*x^2-11*x-1)/(x^5-3*x^4-2*x^3+8*x^2-6*x+1) ogf] A231799 6.62432 [-(8*x^5+8*x^4+4*x^3-9*x^2-8*x-5)/(4*x^6+2*x^5-5*x^3-2*x^2-x+1) ogf] A231822 5.30437 [-(4*x^5+7*x^4+4*x^3+x^2-1)/(4*x^6-21*x^5+27*x^4-11*x^3+16*x^2-9*x+1) ogf] A231833 4.55843 [-(x+2)*(x^2+4*x+2)*(x^3+5*x^2+6*x+1)/(x^7+11*x^6+46*x^5+91*x^4+86*x^3+34*x^2+4*x-1) ogf] A231850 3.61218 [{a(n+4)-21*a(n+3)+41*a(n+2)-22*a(n+1),a(0)=3,a(1)=34,a(2)=656,a(3)=12404} ogf] A231850 3.79947 [-(4559+7410*f(x))*(22*f(x)*x^3-41*f(x)*x^2-44*x^3+21*f(x)*x+65*x^2-f(x)-29*x+3) ogf] A231850 6.83905 [(44*x^3-65*x^2+29*x-3)/(22*x^3-41*x^2+21*x-1) ogf] A231856 4.45108 [(x^8-3*x^7-x^6+11*x^5-3*x^4-5*x^3+7*x-3)/(x^3-x-1)/(x^5-3*x^4-2*x^3+8*x^2-6*x+1) ogf] A231882 5.91693 [-x*(x^8+2*x^7+x^6+4*x^5-4*x^4+3*x^3-7*x^2-x-3)/(x+1)/(x^8-x^7+3*x^6-4*x^5+4*x^4-5*x^3+2*x^2-2*x+1) ogf] A231884 6.72761 [-4*x*(x+1)*(x^5+2*x^4+x^3-2*x^2-1)/(3*x^7+9*x^6-4*x^4-4*x^3-3*x^2+1) ogf] A231896 12.6458 [-f(x)*x^2+4*f(x)*x-f(x)+4*x ogf] A231896 15.5439 [-(2*x-4)/(x^2-4*x+1) lgdogf] A231896 20.1650 [4*x/(x^2-4*x+1) ogf] A231896 9.21117 [{a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A231909 5.38706 [-(8*x^5-16*x^4+2*x^3+x^2+10*x-3)/(16*x^6-4*x^5-78*x^4+66*x^3+5*x^2-9*x+1) ogf] A231950 12.7122 [-2*(x+2)/(4*x^3-2*x^2+4*x-1) ogf] A231950 5.91006 [{a(n+3)-4*a(n+2)+2*a(n+1)-4*a(n),a(0)=4,a(1)=18,a(2)=64} ogf] A231950 6.18117 [(2915*f(x)+1412)*(4*f(x)*x^3-2*f(x)*x^2+4*f(x)*x-f(x)+2*x+4) ogf] A231950 9.22941 [-(8*x^3+22*x^2-8*x+9)/(4*x^4+6*x^3+7*x-2) lgdogf] A231951 3.76234 [-(94158689908709*f(x)-12367045718848)*(8*f(x)*x^4+13*f(x)*x^3+2*f(x)*x^2+7*f(x)*x+4*x^2-f(x)+16*x+18) ogf] A231951 8.46526 [-2*(2*x^2+8*x+9)/(8*x^4+13*x^3+2*x^2+7*x-1) ogf] A231971 4.50586 [-(6*x^8-5*x^7+x^6-14*x^5-62*x^4+11*x^3+x^2+8*x+16)/(x^3-x^2-3*x+1)/(x^6+3*x^4-x^2-1) ogf] A231992 5.31455 [-2*(x+1)*(2*x^4-x^3-10*x^2+4*x+3)/(4*x^6+2*x^5-19*x^4-5*x^3+12*x^2+3*x-1) ogf] A231998 4.91285 [-(3*x^8+7*x^7+2*x^6-9*x^5-12*x^4-11*x^3-10*x^2-2*x-4)/(x^3+x^2+1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A232007 11.3683 [x*(2*x^6-5*x^5+6*x^2-1)/(x^2+x+1)/(x-1)^2 ogf] A232015 11.1573 [-(12*x^2-12*x+1)/(12*x^3-4*x^2-3*x+1) lgdogf] A232015 11.8657 [-6*f(x)*x^2-f(x)*x+f(x)+2*x-1 ogf] A232015 16.6120 [(2*x-1)/(2*x+1)/(3*x-1) ogf] A232015 9.11635 [{a(n+2)-a(n+1)-6*a(n),a(0)=1,a(1)=-1} ogf] A232017 5.83704 [-(x+3)*(x+1)*(x^2+3*x+1)/(x^5+7*x^4+16*x^3+13*x^2+3*x-1) ogf] A232018 3.48287 [(504*x^7+778*x^6-1668*x^5-1375*x^4+603*x^3+273*x^2+15*x-9)/(84*x^7+146*x^6-257*x^5-275*x^4+62*x^3+59*x^2+9*x-1) ogf] A232031 4.50788 [-(24615*f(x)+14498)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-3) ogf] A232031 9.21174 [-(x^2+x-3)/(x^4-x^3+2*x^2-4*x+1) ogf] A232032 4.82492 [(x^7-5*x^5-5*x^4+4*x^3+11*x^2+x-11)/(2*x^7+2*x^6-x^5-2*x^4-5*x^3+7*x-1) ogf] A232042 3.73561 [(143902511*f(x)-196943753)*(6*f(x)*x^4+f(x)*x^3-12*x^4-9*f(x)*x^2+5*x^3-4*f(x)*x+16*x^2+f(x)+x-4) ogf] A232042 6.99890 [(12*x^4-5*x^3-16*x^2-x+4)/(6*x^4+x^3-9*x^2-4*x+1) ogf] A232048 5.13825 [(x^7-x^6-3*x^5+8*x^4-12*x^3+11*x^2-9*x+4)/(x^2-x+1)/(x^5+2*x^4-2*x^3+2*x^2-3*x+1) ogf] A232059 13.5406 [-2*(x^2+x+1)/(x^3+2*x-1) ogf] A232059 7.24902 [-(11*f(x)+10)*(f(x)*x^3+2*f(x)*x+2*x^2-f(x)+2*x+2) ogf] A232059 7.47555 [-(-x^4-2*x^3-x^2-2*x-3)/(-x^5-x^4-3*x^3-x^2-x+1) lgdogf] A232059 7.55424 [{-a(n+3)+2*a(n+2)+a(n),a(0)=2,a(1)=6,a(2)=14} ogf] A232060 4.81640 [-2*(x^2+x+1)*(2*x^5-2*x^4-x^3-3*x^2+3*x+2)/(2*x^8-2*x^7+2*x^6-7*x^5+3*x^4-3*x^3+7*x^2+x-1) ogf] A232070 6.41821 [-(8*x^4+12*x^3-2*x^2-12*x-15)/(8*x^5-2*x^3-11*x^2-5*x+1) ogf] A232077 4.32801 [(119437883*f(x)+44662695)*(4*f(x)*x^4+4*f(x)*x^3+f(x)*x^2-4*x^3+3*f(x)*x-2*x^2-f(x)+6*x+3) ogf] A232077 8.54358 [(2*x+1)*(2*x^2-3)/(4*x^4+4*x^3+x^2+3*x-1) ogf] A232078 3.82192 [(6*x^7+8*x^6-7*x^5-34*x^4-129*x^3-36*x^2+32*x+11)/(2*x^8+3*x^7-x^6-10*x^5-45*x^4-23*x^3-11*x^2-5*x+1) ogf] A232099 4.78761 [-840*(4*x^31+3*x^30-48*x^6-84*x^5-60*x^4-40*x^3-24*x^2-12*x-4)/(5*x^31-3*x^30+48*x^7-60*x^6+4*x^4+4*x^2+4) ogf] A232131 4.02958 [(61841*f(x)-26776)*(16*f(x)*x^3-36*f(x)*x^2+22*f(x)*x+32*x^2-f(x)-64*x+36) ogf] A232131 4.12866 [{a(n+3)-22*a(n+2)+36*a(n+1)-16*a(n),a(0)=36,a(1)=728,a(2)=14752} ogf] A232131 7.51787 [-4*(8*x^2-16*x+9)/(16*x^3-36*x^2+22*x-1) ogf] A232138 4.55257 [(322565*f(x)+198418)*(4*f(x)*x^4-11*f(x)*x^3+6*x^3+6*f(x)*x-16*x^2-f(x)+6) ogf] A232138 8.62949 [-2*(3*x^3-8*x^2+3)/(4*x^4-11*x^3+6*x-1) ogf] A232145 5.67152 [-(5*x^5+11*x^4-12*x^2-8*x-3)/(5*x^6+8*x^5-3*x^4-8*x^3-6*x^2-5*x+1) ogf] A232150 5.22983 [-(72*x^5+96*x^4-36*x^3-49*x^2-17*x-1)/(72*x^6+24*x^5-60*x^4-25*x^3-4*x^2-6*x+1) ogf] A232155 3.39323 [-2*(2*x^10-2*x^9-15*x^8-7*x^7-5*x^6-24*x^5+3*x^4+20*x^3+7*x^2-5*x-1)/(x^10-x^9-8*x^8-3*x^7+3*x^6-14*x^5+5*x^4+13*x^3-2*x^2-4*x+1) ogf] A232162 10.0456 [-x^2*(x+2)/(x^4+3*x^3+x^2+x-1) ogf] A232162 5.25111 [(541*f(x)-69)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+x^3+f(x)*x+2*x^2-f(x)) ogf] A232162 7.07294 [-(-3*x^4-14*x^3-19*x^2-4*x-3)/(-x^5-5*x^4-7*x^3-3*x^2-x+2) lgdogf] A232163 5.13807 [(2*f(x)+1)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x+x^2-f(x)+x) ogf] A232163 9.36115 [-x*(2*x^2+x+1)/(x^4+3*x^3+x^2+x-1) ogf] A232164 16.1925 [-x/(x^4+3*x^3+x^2+x-1) ogf] A232164 6.55728 [-(7*f(x)+1)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+x) ogf] A232164 9.91789 [-(-4*x^3-9*x^2-2*x-1)/(-x^4-3*x^3-x^2-x+1) lgdogf] A232165 12.4236 [-(x+1)*x/(x^4+3*x^3+x^2+x-1) ogf] A232165 6.30888 [(479*f(x)-62)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+x) ogf] A232165 8.59081 [-(3*x^4+10*x^3+10*x^2+2*x+2)/(x^5+4*x^4+4*x^3+2*x^2-1) lgdogf] A232166 11.8568 [-(-x^2-3*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A232166 99.9999 Evaluated at exp(-Pi) 4*exp(-1/2*Pi)/Pi^(1/4)*2^(1/2)*GAMMA(3/4) A232205 13.4728 [-(4*x^2+4*x+2)/(4*x^3+2*x^2-2*x-1) lgdegf] A232205 13.6867 [-f(x)*(2*f(x)*x^2-f(x)+2*x+1) egf] A232205 21.0307 [-(2*x+1)/(2*x^2-1) egf] A232205 3.66919 [{(4*n^3+28*n^2+64*n+48)*a(n+1)+(2*n^3+22*n^2+80*n+96)*a(n+2)+(-4-2*n)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=24} ogf] A232228 10.4131 [(128*x^7-128*x^6+4*x^3-2*x^2-1)/(2*x-1)/(x-1)^2 ogf] A232229 13.0198 [(70*x^2+11*x-9)/(10*x-1)/(x-1)^2 ogf] A232229 6.55962 [(49410324*f(x)+188808185)*(10*f(x)*x^3-21*f(x)*x^2+12*f(x)*x-70*x^2-f(x)-11*x+9) ogf] A232229 7.28228 [{a(n+3)-12*a(n+2)+21*a(n+1)-10*a(n),a(0)=9,a(1)=97,a(2)=905} ogf] A232229 9.04536 [-(700*x^3+920*x^2-421*x+97)/(700*x^4-660*x^3-141*x^2+110*x-9) lgdogf] A232230 10.6242 [(x^5+x^3+x^2-2*x+1)/(x-1)/(x^3+2*x-1) ogf] A232231 10.6037 [(4*x^5+2*x^4+2*x^2-3*x+1)/(x-1)/(4*x^3+3*x-1) ogf] A232250 5.06931 [-(68*f(x)-55)*(f(x)*x^4-2*f(x)*x^2+3*x^3-4*f(x)*x+3*x^2+f(x)-x-9) ogf] A232250 9.18352 [-(3*x^3+3*x^2-x-9)/(x^4-2*x^2-4*x+1) ogf] A232251 3.12355 [(737580822*f(x)-300631115)*(f(x)*x^4+6*f(x)*x^3-14*f(x)*x^2+3*x^3-10*f(x)*x+17*x^2+f(x)-51*x-37) ogf] A232251 6.01855 [-(3*x^3+17*x^2-51*x-37)/(x^4+6*x^3-14*x^2-10*x+1) ogf] A232289 10.3879 [-(x^2+3*x+3)/(x^3+4*x^2+4*x-1) ogf] A232289 5.41593 [-(67*f(x)+31)*(f(x)*x^3+4*f(x)*x^2+4*f(x)*x+x^2-f(x)+3*x+3) ogf] A232289 5.55845 [{a(n+3)-4*a(n+2)-4*a(n+1)-a(n),a(0)=3,a(1)=15,a(2)=73} ogf] A232289 6.27389 [-(-x^4-6*x^3-17*x^2-26*x-15)/(-x^5-7*x^4-19*x^3-23*x^2-9*x+3) lgdogf] A232290 3.725 [-(26557955*f(x)+9662058)*(9*f(x)*x^3+20*f(x)*x^2+12*f(x)*x+9*x^2-f(x)+13*x+7) ogf] A232290 4.13539 [{a(n+3)-12*a(n+2)-20*a(n+1)-9*a(n),a(0)=7,a(1)=97,a(2)=1313} ogf] A232290 7.62462 [-(9*x^2+13*x+7)/(9*x^3+20*x^2+12*x-1) ogf] A232296 3.57615 [-(5*x^8+3*x^7-13*x^6-6*x^5-7*x^4+7*x^3+8*x^2+9*x+1)/(5*x^6+8*x^5-3*x^4-8*x^3-6*x^2-5*x+1)/(x^3-2*x^2+x-1) ogf] A232303 6.54737 [-(16*x^4+7*x^3+8*x^2+19*x+3)/(16*x^5-x^4+11*x^3+9*x^2+6*x-1) ogf] A232311 3.54071 [-(18356960*f(x)+27239389)*(f(x)*x^4+5*f(x)*x^3+11*f(x)*x^2+2*x^3-10*f(x)*x+12*x^2+f(x)+21*x-16) ogf] A232311 6.90870 [-(2*x^3+12*x^2+21*x-16)/(x^4+5*x^3+11*x^2-10*x+1) ogf] A232312 3.75768 [(x^6-23*x^5+14*x^4-48*x^3+123*x^2-135*x+52)/(x-1)/(2*x^5-2*x^4+17*x^3-26*x^2+18*x-1) ogf] A232317 5.20802 [-(14*f(x)-5)*(2*f(x)*x^4-x^4-f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)+x-2) ogf] A232317 8.92804 [(x-1)*(x^3-x-2)/(2*x^4-x^2-3*x+1) ogf] A232331 4.49606 [(479*f(x)-406)*(4*f(x)*x^4+8*f(x)*x^3+9*f(x)*x^2+8*x^3-7*f(x)*x+16*x^2+f(x)+10*x-6) ogf] A232331 8.13843 [-2*(4*x^3+8*x^2+5*x-3)/(4*x^4+8*x^3+9*x^2-7*x+1) ogf] A232332 3.52988 [(-1407626536+695688953*f(x))*(12*f(x)*x^4+20*f(x)*x^3+32*x^4+21*f(x)*x^2+80*x^3-11*f(x)*x+64*x^2+f(x)+28*x-10) ogf] A232332 6.42138 [-2*(16*x^4+40*x^3+32*x^2+14*x-5)/(12*x^4+20*x^3+21*x^2-11*x+1) ogf] A232333 3.38635 [2*(64*x^8+112*x^7-468*x^6-939*x^5-656*x^4-61*x^3+81*x^2+47*x-8)/(256*x^7+448*x^6+448*x^5+92*x^4-47*x^3-60*x^2+16*x-1) ogf] A232336 7.17283 [-(3*x^5-x^4+3*x^3-9*x^2-5*x-1)/(x^2-x-1)/(x^3+2*x-1) ogf] A232337 3.81428 [(2*x^11+2*x^10-20*x^8+4*x^7-14*x^6+55*x^5-x^4+29*x^3-51*x^2-15*x-1)/(2*x^8-2*x^7+2*x^6-7*x^5+3*x^4-3*x^3+7*x^2+x-1) ogf] A232343 10.3865 [-(-4*x^3-x^2-2*x+1)/(x^4+x^2+1) ogf_with_Euler_transform] A232345 3.92592 [(64*x^7-32*x^6-304*x^5-120*x^4+60*x^3+54*x^2+60*x+21)/(64*x^8+32*x^7-16*x^6-8*x^5-44*x^4-30*x^3+2*x^2-7*x+1) ogf] A232370 4.99719 [-2*(x^6+x^5-6*x^4+2*x^3+8*x^2+5*x+1)/(x+1)/(x^6+x^5-4*x^4+2*x^3+4*x^2+3*x-1) ogf] A232377 4.27004 [(x+1)*(32*x^7-16*x^6-48*x^5+40*x^4-26*x^3-21*x^2-10*x-1)/(2*x^2+1)/(8*x^6+12*x^5-6*x^4+7*x^3+3*x^2+3*x-1) ogf] A232397 8.69178 [x*(5*x^6-15*x^4-5*x^3+12*x^2-5*x-4)/(x-1)^3/(x+1)^3 ogf] A232400 4.71865 [-4*(x^8+3*x^7+5*x^6+3*x^5-7*x^4-6*x^3+4*x+1)/(2*x^9+6*x^8+6*x^7-3*x^6-12*x^5-3*x^4+4*x^3+5*x^2-1) ogf] A232401 3.42112 [-4*(x^10+2*x^8-x^7-x^6-12*x^5+4*x^4+4*x^3+5*x^2-x-2)/(x^10+3*x^9+9*x^8+16*x^7+19*x^6+6*x^5-7*x^4-11*x^3-5*x^2+1)/(x-1)^2 ogf] A232423 9.23292 [x^2*(x^5+x^4-3*x^3-9*x^2-2)/(x-1)^3/(x+1)^3 ogf] A232425 5.92259 [-4*(16*x^4+7*x^3-2*x^2-3*x-1)/(32*x^6+28*x^5+x^4-11*x^3-10*x^2-x+1) ogf] A232449 3.98824 [(1219778999633976219779*f(x)+1025070246344519402313300)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+767000*x^2-f(x)-782770*x+16661) ogf] A232449 5.14425 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=16661,a(1)=1066601,a(2)=100666001} ogf] A232449 8.55310 [-(767000*x^2-782770*x+16661)/(x-1)/(100*x-1)/(10*x-1) ogf] A232453 4.64669 [(9583447*f(x)+16877627)*(39*f(x)*x^3+12*f(x)*x^2+6*f(x)*x+39*x^2-f(x)+33*x+3) ogf] A232453 5.08356 [{a(n+3)-6*a(n+2)-12*a(n+1)-39*a(n),a(0)=3,a(1)=51,a(2)=381} ogf] A232453 9.15042 [-3*(13*x^2+11*x+1)/(39*x^3+12*x^2+6*x-1) ogf] A232485 10.2148 [-(28*x^9+12*x^8+24*x^7+12*x^6+8*x^5+4*x^4+2*x^3+6*x^2+3*x+3)/(x-1) ogf] A232492 6.32744 [-x*(8*x^6-6*x^5-2*x^4-4*x^3+9*x^2-5*x+1)/(2*x^2-1)/(2*x^3-1)/(2*x-1)^3 ogf] A232493 13.2276 [-(16*x^2+2*x-1)/(6*x-1)/(12*x^2-1) ogf] A232493 7.36143 [(6*f(x)-11)*(72*f(x)*x^3-12*f(x)*x^2-6*f(x)*x+16*x^2+f(x)+2*x-1) ogf] A232493 7.36143 [{a(n+3)-6*a(n+2)-12*a(n+1)+72*a(n),a(0)=1,a(1)=4,a(2)=20} ogf] A232493 7.69605 [-(-1152*x^4-288*x^3+144*x^2+8*x-4)/(-1152*x^5+48*x^4+192*x^3-16*x^2-8*x+1) lgdogf] A232494 13.2717 [(16*x^2+2*x-1)/(6*x-1)/(2*x-1)/(12*x^2-1) ogf] A232494 6.90128 [-(4608*x^5-672*x^4-960*x^3+160*x^2+32*x-6)/(2304*x^6-1248*x^5-336*x^4+224*x^3-10*x+1) lgdogf] A232494 7.24923 [(412*f(x)+221)*(144*f(x)*x^4-96*f(x)*x^3+8*f(x)*x-16*x^2-f(x)-2*x+1) ogf] A232495 10.3531 [(2*x^3-4*x^2+23*x+6)/(x-1)^4 ogf] A232495 3.99775 [{(60*n^2+34*n-172)*a(n+1)+(1431*n^2+12716*n+24737)*a(n+2)+(-1491*n^2-8097*n-10872)*a(n+3),a(0)=6,a(1)=47,a(2)=148} ogf] A232495 5.34797 [(2877849*f(x)+38201225)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+4*x^2+f(x)-23*x-6) ogf] A232495 9.61363 [-(-2*x^3+2*x^2-61*x-47)/(-2*x^4+6*x^3-27*x^2+17*x+6) lgdogf] A232497 5.44702 [-(x^6-x^5-2*x^4+x^3+3*x^2-1)/(2*x^12+4*x^10+6*x^8+6*x^7+13*x^6+13*x^5-2*x^4-7*x^3-5*x^2+1) ogf] A232508 11.1998 [-(-3*x^2-2*x-1)/(-x^3-x^2-x+1) lgdogf] A232508 17.4826 [-4/(x^3+x^2+x-1) ogf] A232508 6.39987 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=4,a(2)=8} ogf] A232508 7.24024 [(f(x)-4)*(f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+4) ogf] A232509 5.56549 [-4*(x^6+x^4-x^3-6*x^2-3*x+4)/(2*x^7+x^6-2*x^5-5*x^4-4*x^3+x^2+4*x-1) ogf] A232510 10.2790 [-(3*x^2+8*x+2)/(x^3+4*x^2+2*x-1) lgdogf] A232510 15.6632 [-16/(x+1)/(x^2+3*x-1) ogf] A232510 5.67117 [{-a(n+3)+2*a(n+2)+4*a(n+1)+a(n),a(0)=16,a(1)=32,a(2)=128} ogf] A232510 6.32555 [(129*f(x)+176)*(f(x)*x^3+4*f(x)*x^2+2*f(x)*x-f(x)+16) ogf] A232516 7.74718 [-2*(x^4+x^3+2*x^2+8*x+2)/(2*x^5+2*x^4+x^3+3*x^2-1) ogf] A232517 5.34328 [-2*(5*x^6+5*x^5+3*x^4-5*x^3-4*x^2-26*x-2)/(2*x^7+2*x^6-x^5-3*x^4-x^3-6*x^2+1) ogf] A232518 3.86894 [-2*(60*x^8+60*x^7-128*x^6-222*x^5-47*x^4+54*x^3+16*x^2+100*x+4)/(8*x^9+8*x^8-22*x^7-30*x^6+x^5+11*x^4+x^3+12*x^2-1) ogf] A232546 13.414 [1728*x^3-432*x^2+36*x-1+f(x)^2 ogf] A232546 23.6980 [18/(12*x-1) lgdogf] A232546 6.70697 [{(n+2)*a(n+2)+(6-12*n)*a(n+1),a(0)=1,a(1)=-18} ogf] A232546 63.7878 [18/(12*x-1) lgdogf] A232553 15.1373 [-(3*x^5+13*x^2+9*x+6)/(6*x^3-1) ogf] A232553 7.08034 [{-a(n+4)+6*a(n+1),a(0)=6,a(1)=9,a(2)=13,a(3)=36,a(4)=54,a(5)=81} ogf] A232567 7.06565 [-x*(x^2+x+1)*(x^3-x^2+3*x+1)/(x+1)^3/(x-1)^5 ogf] A232568 3.97573 [x*(x^9-4*x^8+x^7+12*x^6+9*x^5-70*x^4-77*x^3-84*x^2-22*x-6)/(x+1)^4/(x-1)^7 ogf] A232580 15.6887 [-x^3/(2*x-1)/(x-1)/(x^2+x-1) ogf] A232580 7.76512 [2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+x^3+4*f(x)*x-f(x) ogf] A232580 9.60932 [-(8*x^3-3*x^2-8*x+4)/(2*x^4-x^3-4*x^2+4*x-1) lgdogf] A232582 11.8144 [-(-3*x^2+2*x-2)/(-x^3+x^2-2*x+1) lgdogf] A232582 16.8027 [-2*x/(x^3-x^2+2*x-1) ogf] A232582 6.81192 [{-a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=4} ogf] A232582 9.81977 [-f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A232583 4.18066 [-(383939*f(x)-1068668)*(2*f(x)*x^4-f(x)*x^3-f(x)*x^2+4*x^3+4*f(x)*x-2*x^2-f(x)-6*x+10) ogf] A232583 8.20051 [-2*(2*x^3-x^2-3*x+5)/(2*x^4-x^3-x^2+4*x-1) ogf] A232584 10.6823 [-2*(x+1)^2/(x-1)/(x^2-3*x+1) ogf] A232584 5.66625 [(173*f(x)-256)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+4*x+2) ogf] A232584 5.71596 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=2,a(1)=12,a(2)=42} ogf] A232584 8.92630 [-(-x^3-3*x^2+12*x-6)/(-x^4+3*x^3-3*x+1) lgdogf] A232585 6.07484 [-2*(2*x^4+3*x^3+x^2+11*x+13)/(x+1)/(2*x^4-x^3+3*x^2+6*x-1) ogf] A232590 7.87676 [-2*x*(x^3+4*x^2+6*x+5)/(x^3+x^2+x-1)/(x+1)^2 ogf] A232591 4.11038 [2*(x^9-2*x^8-20*x^7-23*x^6-4*x^5+41*x^4+13*x^3-x^2-17*x-1)/(2*x^9+6*x^8+6*x^7-3*x^6-12*x^5-3*x^4+4*x^3+5*x^2-1) ogf] A232599 7.15459 [x*(x^2-4*x+1)/(x-1)/(x+1)^4 ogf] A232599 7.83138 [-(3*x^3-19*x^2+19*x-7)/(x^4-4*x^3+4*x-1) lgdogf] A232600 15.5960 [-(6*x-3)/(2*x^2-x-1) lgdogf] A232600 20.2327 [2*x/(x-1)/(2*x+1)^2 ogf] A232600 8.04957 [{a(n+3)+3*a(n+2)-4*a(n),a(0)=0,a(1)=-2,a(2)=6} ogf] A232600 9.7222 [-f(x)*(4*f(x)*x^3-3*f(x)*x-f(x)-2*x) ogf] A232601 4.40081 [(254*f(x)+65)*(8*f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2-5*f(x)*x+4*x^2-f(x)-2*x) ogf] A232601 8.53491 [-(12*x^2-16*x+7)/(4*x^3-4*x^2-x+1) lgdogf] A232601 8.66622 [-2*x*(2*x-1)/(x-1)/(2*x+1)^3 ogf] A232602 5.89115 [2*x*(4*x^2-8*x+1)/(x-1)/(2*x+1)^4 ogf] A232603 4.16797 [-(88*f(x)-65)*(2*f(x)*x^4+5*f(x)*x^3+3*f(x)*x^2-f(x)*x+x^2-f(x)-x) ogf] A232603 8.40006 [-(6*x^2-10*x+2)/(2*x^3-x^2-2*x+1) lgdogf] A232603 8.40006 [-x*(x-1)/(2*x-1)/(x+1)^3 ogf] A232604 7.48093 [-(6*x^3-36*x^2+24*x-6)/(2*x^4-7*x^3-3*x^2+5*x-1) lgdogf] A232604 7.57328 [x*(x^2-4*x+1)/(2*x-1)/(x+1)^4 ogf] A232617 10.9843 [(-6*x-13+2*(1-2*x)^(1/2))/(2*x+3)/(-1+2*x) lgdegf] A232617 4.92156 [-16*f(x)^2*x^4+32*f(x)^2*x^3-24*f(x)^2*x^2+8*f(x)^2*x+16*f(x)*x^2-f(x)^2-16*f(x)*x+4*f(x)-2*x-3 egf] A232621 4.82865 [{a(n+5)-7*a(n+4)+7*a(n+3)-a(n+2),a(0)=1,a(1)=8,a(2)=31,a(3)=175,a(4)=1015} ogf] A232621 5.40522 [(179*f(x)-8224)*(f(x)*x^3-x^4-7*f(x)*x^2+13*x^3+7*f(x)*x-18*x^2-f(x)+x+1) ogf] A232621 9.16833 [(x^4-13*x^3+18*x^2-x-1)/(x-1)/(x^2-6*x+1) ogf] A232622 6.28956 [-(x^6-4*x^5+10*x^3-4*x^2-3*x+1)/(x-1)/(x^2-4*x+1)/(x^4-4*x^2+1) ogf] A232635 6.50054 [-(3*x^6+2*x^5-x^4-2*x^3+5*x^2+4*x+1)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A232635 99.9999 Evaluated at exp(-Pi) -1/16*exp(1/8*Pi)/Pi^(3/4)*2^(1/8)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^(3/2)/(2^(1/2)-2) A232636 4.53314 [-(1130011*f(x)-21211646655168)*(6*f(x)*x^3+131010048*x^2-f(x)+53747712*x+34012224) ogf] A232636 5.55078 [{-a(n+3)+6*a(n),a(0)=34012224,a(1)=53747712,a(2)=131010048} ogf] A232636 7.66163 [-419904*(312*x^2+128*x+81)/(6*x^3-1) ogf] A232670 3.99603 [-2*(32*x^6+80*x^5+70*x^4-21*x^3-194*x^2-70*x-18)/(64*x^8+48*x^7+52*x^6-166*x^5-170*x^4-118*x^3-21*x^2-2*x+1) ogf] A232688 11.3338 [-2*ln(x-1)-3/(x-1)-2+2*I*Pi lgdegf] A232688 27.2469 [-2*ln(x-1)-3/(x-1)-2+2*I*Pi lgdegf] A232693 10.2241 [(-3*ln(x+1)-4/(x+1)+4)*(x+1) revegf] A232713 4.41488 [{(-15*n^2-65*n-70)*a(n+1)+(21*n^2+49*n+98)*a(n+2)+(-6*n^2-20*n-16)*a(n+3),a(0)=0,a(1)=1,a(2)=35} ogf] A232713 8.63988 [-x*(5*x^3+45*x^2+30*x+1)/(x-1)^5 ogf] A232713 9.02819 [-(10*x^3+150*x^2+210*x+35)/(5*x^4+40*x^3-15*x^2-29*x-1) lgdogf] A232714 8.19283 [-(x^6+x^5+1)/(-x^7+1) ogf_with_Euler_transform] A232719 10.7322 [3*(28*x+23)/(x-1)/(16*x^2+136*x+1) ogf] A232719 4.84158 [(4561665437952*f(x)+563608165609)*(16*f(x)*x^3+120*f(x)*x^2-135*f(x)*x-f(x)-84*x-69) ogf] A232719 5.07032 [{a(n+3)+135*a(n+2)-120*a(n+1)-16*a(n),a(0)=-69,a(1)=9231,a(2)=-1254465} ogf] A232719 6.25176 [-(896*x^3+4464*x^2+5520*x-3077)/(448*x^4+3728*x^3-1020*x^2-3133*x-23) lgdogf] A232729 10.4913 [-(5*x^3+85*x^2-5*x-4)/(10*x-1)/(10*x^2-1) ogf] A232729 5.46727 [{a(n+4)-10*a(n+3)-10*a(n+2)+100*a(n+1),a(0)=4,a(1)=45,a(2)=405,a(3)=4095} ogf] A232729 6.06526 [(251*f(x)+396)*(100*f(x)*x^3-10*f(x)*x^2+5*x^3-10*f(x)*x+85*x^2+f(x)-5*x-4) ogf] A232729 6.11302 [-(8550*x^4-900*x^3-315*x^2-90*x+45)/(500*x^6+8450*x^5-1400*x^4-1195*x^3+175*x^2+35*x-4) lgdogf] A232730 4.91553 [{a(n+4)-10*a(n+3)-10*a(n+2)+100*a(n+1),a(0)=5,a(1)=45,a(2)=495,a(3)=4905} ogf] A232730 5.58405 [(25*f(x)+91)*(100*f(x)*x^3-10*f(x)*x^2-5*x^3-10*f(x)*x+5*x^2+f(x)+5*x-5) ogf] A232730 7.05056 [-(90*x^3+270*x^2-27*x-9)/(-100*x^5+10*x^4+110*x^3-11*x^2-10*x+1) lgdogf] A232730 9.56171 [5*(x+1)*(x-1)^2/(10*x-1)/(10*x^2-1) ogf] A232731 4.41775 [{a(n+5)-10*a(n+4)-10*a(n+3)+100*a(n+2),a(0)=4,a(1)=50,a(2)=450,a(3)=4590,a(4)=45405} ogf] A232731 4.6846 [(121925387*f(x)+13376092)*(100*f(x)*x^3-5*x^4-10*f(x)*x^2+10*x^3-10*f(x)*x+90*x^2+f(x)-10*x-4) ogf] A232731 8.30958 [(5*x^4-10*x^3-90*x^2+10*x+4)/(10*x-1)/(10*x^2-1) ogf] A232732 4.17026 [{-a(n+3)-2766*a(n+2)-172929*a(n+1)-64*a(n),a(0)=-922,a(1)=2434966,a(2)=-6575675482} ogf] A232732 7.37815 [-2*(32*x^2+57643*x+461)/(64*x+1)/(x^2+2702*x+1) ogf] A232741 15.2069 [2-(x-1)*x^4+(x-1)*x^19 ogf_with_Euler_transform] A232742 16.7537 [x^14*(x-1)-x^3+x^2+2 ogf_with_Euler_transform] A232742 5.61026 [6*(x^4+x^3+x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A232744 15.3834 [-x^14*(x-1)+x^3-x^2-x+3 ogf_with_Euler_transform] A232744 4.25378 [(x+1)*(x^4+1)*(x^8+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A232765 8.23478 [-x*(x+1)*(x^2+x+1)^2/(x-1)/(x^6-14*x^3+1) ogf] A232771 8.28874 [x*(x^4+3*x^3+6*x^2+3*x+1)/(x^6-14*x^3+1) ogf] A232772 99.9999 Evaluated at exp(-Pi) -1/2*exp(1/2*Pi)*(2^(1/2)-2) A232801 12.9403 [-x*(x^2-x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A232801 8.13769 [(3*f(x)+4)*(3*f(x)*x^4-4*f(x)*x^2+x^3-x^2+f(x)-x) ogf] A232840 3.77985 [-2*(256*x^6+48*x^5+38*x^4+17*x^3-86*x^2-4*x-2)/(512*x^8+176*x^7+36*x^6+86*x^5-150*x^4-66*x^3-3*x^2-2*x+1) ogf] A232845 5.31603 [{(n+2)*a(n+1)+(-n-1)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=0} ogf] A232866 7.97450 [-(3*x^6-4*x^5-4*x^4-4*x^3-3*x^2+2*x-2)/(-x^7+x^3+x^2-2*x+1) lgdogf] A232866 9.75704 [-(x^6+x^5+x^4+x^3-x+1)/(x-1)^3 ogf] A232867 10.6584 [-(10*x^2-10*x+12)/(x^4+6*x^3-19*x^2+20*x-8) lgdogf] A232867 11.7242 [-(x^3+7*x^2-12*x+8)/(x-1)^3 ogf] A232867 6.07921 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=8,a(1)=12,a(2)=19,a(3)=30} ogf] A232867 6.36197 [-(816*f(x)-5863)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+7*x^2-f(x)-12*x+8) ogf] A232868 7.05564 [-(x^9+4*x^7-2*x^6-2*x^5+2*x^4-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A232896 12.4561 [(2*x^2-1)/(x^2+x-1)/(x-1)^2 ogf] A232896 4.57428 [{a(n)*n+a(n+1)+(-2*n+1)*a(n+2)+(n-1)*a(n+3),a(0)=1,a(1)=3,a(2)=5,a(3)=8,a(4)=12} ogf] A232896 6.42577 [(f(x)+34)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+1) ogf] A232896 9.20053 [-(-4*x^4-2*x^3+2*x^2+5*x-3)/(-2*x^5+5*x^3-2*x^2-2*x+1) lgdogf] A232901 10.8315 [-(-12*x^2+2*x-2)/(-4*x^3+x^2-2*x+1) lgdogf] A232901 15.6455 [-4*x/(4*x^3-x^2+2*x-1) ogf] A232901 6.34277 [{-a(n+3)+2*a(n+2)-a(n+1)+4*a(n),a(0)=0,a(1)=4,a(2)=8} ogf] A232901 9.14348 [-4*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-4*x ogf] A232902 3.82468 [-(29688931*f(x)-58566284)*(16*f(x)*x^4+26*f(x)*x^3-f(x)*x^2+32*x^3+4*f(x)*x+68*x^2-f(x)-6*x+10) ogf] A232902 7.46279 [-2*(16*x^3+34*x^2-3*x+5)/(16*x^4+26*x^3-x^2+4*x-1) ogf] A232909 4.75581 [-2*x*(104*x^5+106*x^4+28*x^3-21*x^2-26*x-5)/(7*x^2+x+1)/(32*x^6+28*x^5+x^4-11*x^3-10*x^2-x+1) ogf] A232917 4.34121 [-6*(x^2-7*x+4)*(3*x^3-5*x^2-8*x+2)/(2*x^6-19*x^5+36*x^4+15*x^3-45*x^2+14*x-1) ogf] A232921 12.9426 [-(-4*x-2)/(-2*x^2-2*x+1) lgdogf] A232921 18.8256 [-9/(2*x^2+2*x-1) ogf] A232921 7.48486 [(11*f(x)-63)*(2*f(x)*x^2+2*f(x)*x-f(x)+9) ogf] A232921 7.48487 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=9,a(1)=18} ogf] A232922 4.45737 [-(580327*f(x)-3213933)*(2*f(x)*x^3-4*f(x)*x^2-12*x^3-3*f(x)*x+24*x^2+f(x)+27*x-27) ogf] A232922 4.45737 [{-a(n+4)+3*a(n+3)+4*a(n+2)-2*a(n+1),a(0)=27,a(1)=54,a(2)=246,a(3)=912} ogf] A232922 8.42626 [3*(4*x^3-8*x^2-9*x+9)/(2*x^3-4*x^2-3*x+1) ogf] A232923 4.35960 [3*(40*x^6+20*x^5-279*x^4-31*x^3+220*x^2+27*x-27)/(4*x^6+2*x^5-25*x^4-3*x^3+16*x^2+3*x-1) ogf] A232935 11.3715 [-2*(x^2+3*x+3)/(x^3+2*x^2+x-1) ogf] A232935 6.08477 [{a(n+3)-a(n+2)-2*a(n+1)-a(n),a(0)=6,a(1)=12,a(2)=26} ogf] A232935 6.13861 [(19*f(x)-56)*(f(x)*x^3+2*f(x)*x^2+f(x)*x+2*x^2-f(x)+6*x+6) ogf] A232935 7.30173 [-(-x^4-6*x^3-14*x^2-14*x-6)/(-x^5-5*x^4-10*x^3-8*x^2+3) lgdogf] A232936 7.04130 [2*(x^5-x^4-5*x^3-x^2+7*x+6)/(x+1)/(x^4-x^3-3*x^2-2*x+1) ogf] A232937 3.63439 [2*(4*x^8-13*x^7+6*x^6+26*x^5-23*x^4-62*x^3-22*x^2+16*x+12)/(x^8-3*x^7+x^6+6*x^5-4*x^4-15*x^3-10*x^2-x+1) ogf] A232943 3.18736 [(-15346858912+8907694689*f(x))*(2*f(x)*x^4-9*f(x)*x^3-2*x^4+15*f(x)*x^2+8*x^3-13*f(x)*x-11*x^2+f(x)+18*x-9) ogf] A232943 6.01660 [(x-3)*(2*x^3-2*x^2+5*x-3)/(2*x^4-9*x^3+15*x^2-13*x+1) ogf] A232950 10.9698 [-3*(2*x-3)/(6*x^2-15*x+1) ogf] A232950 5.42593 [-(203*f(x)+22)*(6*f(x)*x^2-15*f(x)*x+f(x)+6*x-9) ogf] A232950 5.93660 [{a(n+2)-15*a(n+1)+6*a(n),a(0)=9,a(1)=129} ogf] A232950 7.20873 [-(-12*x^2+36*x-43)/(-12*x^3+48*x^2-47*x+3) lgdogf] A232951 4.27364 [(4873426*f(x)+1362795)*(5*f(x)*x^3-35*f(x)*x^2+31*f(x)*x+15*x^2-f(x)-66*x+27) ogf] A232951 4.52088 [{-a(n+3)+31*a(n+2)-35*a(n+1)+5*a(n),a(0)=27,a(1)=771,a(2)=22971} ogf] A232951 8.28827 [-3*(5*x^2-22*x+9)/(x-1)/(5*x^2-30*x+1) ogf] A232956 12.7818 [-(x+4)/(x+1)/(6*x-1) ogf] A232956 6.32067 [-(17*f(x)-19)*(6*f(x)*x^2+5*f(x)*x-f(x)+x+4) ogf] A232956 6.92988 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=4,a(1)=21} ogf] A232956 8.45853 [-(-6*x^2-48*x-21)/(-6*x^3-29*x^2-19*x+4) lgdogf] A232957 2.83707 [-(28237934464062*f(x)+1942053722857)*(12*f(x)*x^4-40*f(x)*x^3+7*f(x)*x^2+10*x^3+12*f(x)*x+5*x^2-f(x)-45*x+16) ogf] A232957 5.87923 [-(10*x^3+5*x^2-45*x+16)/(12*x^4-40*x^3+7*x^2+12*x-1) ogf] A232965 5.27553 [-(x-1)*(8*x^6+15*x^5+9*x^4+4*x^3+3*x+1)/(x^2+x-1)/(x^6-x^3-1) ogf] A232969 6.28834 [-3*f(x)^3*x^3+24*f(x)^3*x^2-56*f(x)^3*x+4*f(x)^3+2*f(x)*x-3*f(x)-1 ogf] A232970 11.1073 [-(6*x^3+6*x^2-6*x+2)/(3*x^4+8*x^3-18*x^2+8*x-1) lgdogf] A232970 16.9754 [-(3*x-1)/(x-1)/(x^2+4*x-1) ogf] A232970 8.03298 [{a(n+3)-5*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A232970 8.25408 [-(32*f(x)-11)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)+3*x-1) ogf] A232971 11.4087 [-(x-1)*(x^2+4*x-1)/(x^4-x^3-10*x^2+7*x-1) ogf] A232971 6.35626 [(61*f(x)-27)*(f(x)*x^4-f(x)*x^3-10*f(x)*x^2+x^3+7*f(x)*x+3*x^2-f(x)-5*x+1) ogf] A232971 7.00691 [-(-x^6-6*x^5+8*x^4-29*x^2+14*x-2)/(-x^7-2*x^6+18*x^5+17*x^4-69*x^3+48*x^2-12*x+1) lgdogf] A232980 12.1255 [-(-x^4-x^3-x^2-2*x-1)/(x^2+x+1) lgdegf] A232980 27.7325 [-(-x^4-x^3-x^2-2*x-1)/(x^2+x+1) lgdegf] A232980 3.88016 [{(-n^2-5*n-6)*a(n+1)+(n+3)*a(n+2)+(n+1)*a(n+3)+(n^3+7*n^2+14*n+8)*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=1/3} egf] A232981 7.00492 [-(-x^8-x^7-x^6-x^5-x^4-4*x^3-3*x^2-2*x-1)/(x^4+x^3+x^2+x+1) lgdegf] A232985 10.7028 [-(-89*x^11+100*x^10-10)/(11*x^12-11*x^11-10*x+10) lgdegf] A232985 12.2317 [-(221*x^11-220)/(x-1)/(21*x^11-220) egf] A232990 15.8876 [-(x^2-x+1)*(x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A232990 21.6214 [-x^5+x^4+x^2 ogf_with_Euler_transform] A232990 9.40714 [-(2*x^7+5*x^4+3*x^2)/(x^8+x^5-x^3-1) lgdogf] A232991 15.1607 [-(x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A232991 20.6322 [-x^7+x^5+x^3 ogf_with_Euler_transform] A232999 7.74590 [-2*(x^5+16*x^4-32*x^3-44*x^2+43*x-8)/(x-1)/(x+1)/(x^2-4*x+1)/(x^2+2*x-1) ogf] A233000 6.79604 [-(5*x^7+10*x^6-70*x^5+6*x^4+122*x^3-38*x^2-43*x+16)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A233006 10.6941 [-(-x^4+x^3-x^2+x-1)/(-x^6+1) ogf_with_Euler_transform] A233006 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/8*Pi)/Pi^(1/12)*2^(35/72)*3^(1/3)*GAMMA(3/4)^(1/3)*GAMMA(5/6)^(1/6)*(2^(1/2)*(1+3^(1/2)))^(1/3)/GAMMA(11/12)^(1/3) A233013 3.84382 [-(6642525*f(x)-5321993)*(27*f(x)*x^3-45*f(x)*x^2+19*f(x)*x+21*x^2-f(x)-21*x+5) ogf] A233013 4.26373 [{-a(n+3)+19*a(n+2)-45*a(n+1)+27*a(n),a(0)=5,a(1)=74,a(2)=1202} ogf] A233013 7.68764 [-(21*x^2-21*x+5)/(x-1)/(27*x^2-18*x+1) ogf] A233014 3.10979 [(6755792384231480*f(x)-14805797557025201)*(263*f(x)*x^4-530*f(x)*x^3+312*f(x)*x^2+226*x^3-46*f(x)*x-321*x^2+f(x)+129*x-14) ogf] A233014 6.21958 [-(226*x^3-321*x^2+129*x-14)/(x-1)/(263*x^3-267*x^2+45*x-1) ogf] A233020 12.5586 [-(-4*x-5)/(-2*x^2-5*x+1) lgdogf] A233020 18.2671 [-3/(2*x^2+5*x-1) ogf] A233020 6.92891 [-(29*f(x)-12)*(2*f(x)*x^2+5*f(x)*x-f(x)+3) ogf] A233020 7.26283 [{-a(n+2)+5*a(n+1)+2*a(n),a(0)=3,a(1)=15} ogf] A233021 3.43363 [-(371917627*f(x)+12487116)*(2*f(x)*x^4-11*f(x)*x^3-5*f(x)*x^2+11*f(x)*x+3*x^2-f(x)-18*x+9) ogf] A233021 7.20107 [-3*(x^2-6*x+3)/(2*x^4-11*x^3-5*x^2+11*x-1) ogf] A233035 9.75402 [-x^3*(x^4+x^3+x^2+x+4)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A233036 9.79535 [-2*x^3*(x^5-2*x^4+x^3-x+2)/(x+1)/(x^2+1)/(x-1)^3 ogf] A233045 3.18848 [(f(x)*x-f(x)+1)^2 ogf] A233068 4.82695 [(x^5-6*x^4+14*x^3-22*x^2+20*x-5)/(x-1)/(2*x^4-9*x^3+15*x^2-13*x+1) ogf] A233077 11.2636 [-5*(3*x-1)/(21*x-1)/(x-1) ogf] A233077 5.6911 [-(376*f(x)-75)*(21*f(x)*x^2-22*f(x)*x+f(x)+15*x-5) ogf] A233077 6.36065 [{a(n+2)-22*a(n+1)+21*a(n),a(0)=5,a(1)=95} ogf] A233077 7.72364 [-(-63*x^2+42*x-19)/(-63*x^3+87*x^2-25*x+1) lgdogf] A233078 10.4485 [-2*(19*x-7)/(49*x-1)/(x-1) ogf] A233078 5.17149 [-(7932*f(x)-1487)*(49*f(x)*x^2-50*f(x)*x+f(x)+38*x-14) ogf] A233078 5.88480 [{a(n+2)-50*a(n+1)+49*a(n),a(0)=14,a(1)=662} ogf] A233078 6.64906 [-(-931*x^2+686*x-331)/(-931*x^3+1293*x^2-369*x+7) lgdogf] A233079 3.01616 [-(28729419207*f(x)-3620825767)*(294*f(x)*x^3-411*f(x)*x^2+118*f(x)*x+255*x^2-f(x)-207*x+41) ogf] A233079 3.44365 [{-a(n+3)+118*a(n+2)-411*a(n+1)+294*a(n),a(0)=41,a(1)=4631,a(2)=529862} ogf] A233079 6.07422 [-(255*x^2-207*x+41)/(x-1)/(294*x^2-117*x+1) ogf] A233080 4.22030 [-(8771*x^3-7803*x^2+2112*x-122)/(x-1)/(9604*x^3-3969*x^2+282*x-1) ogf] A233083 11.0398 [(4*x^2-10*x+3)/(7*x-1)/(x-1) ogf] A233083 5.73221 [{a(n+3)-8*a(n+2)+7*a(n+1),a(0)=3,a(1)=14,a(2)=95} ogf] A233083 5.96151 [-(-19+39*f(x))*(7*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+10*x-3) ogf] A233083 7.35988 [-(38*x^2-34*x+14)/(-28*x^4+102*x^3-105*x^2+34*x-3) lgdogf] A233084 3.5459 [(591375*f(x)+1360807)*(27*f(x)*x^3+27*x^4-45*f(x)*x^2-81*x^3+19*f(x)*x+117*x^2-f(x)-68*x+10) ogf] A233084 6.06101 [-(27*x^4-81*x^3+117*x^2-68*x+10)/(x-1)/(27*x^2-18*x+1) ogf] A233085 3.73886 [(60858*x^7-116910*x^6+69603*x^5-24245*x^4+14289*x^3-4269*x^2+670*x-36)/(3*x-1)/(x-1)/(263*x^3-267*x^2+45*x-1) ogf] A233093 3.9998 [(42563*f(x)+25122)*(6*f(x)*x^3-21*f(x)*x^2+16*f(x)*x+6*x^2-f(x)-15*x+5) ogf] A233093 4.17074 [{-a(n+3)+16*a(n+2)-21*a(n+1)+6*a(n),a(0)=5,a(1)=65,a(2)=941} ogf] A233093 7.62462 [-(6*x^2-15*x+5)/(x-1)/(6*x^2-15*x+1) ogf] A233094 4.20068 [(1219369*f(x)+291962)*(5*f(x)*x^3-35*f(x)*x^2+31*f(x)*x+10*x^2-f(x)-48*x+14) ogf] A233094 4.40898 [{-a(n+3)+31*a(n+2)-35*a(n+1)+5*a(n),a(0)=14,a(1)=386,a(2)=11486} ogf] A233094 8.08312 [-2*(5*x^2-24*x+7)/(x-1)/(5*x^2-30*x+1) ogf] A233099 4.11913 [{a(n+4)-6*a(n+3)-a(n+2)+6*a(n+1),a(0)=3,a(1)=11,a(2)=65,a(3)=386} ogf] A233099 4.41104 [(13840*f(x)-28689)*(6*f(x)*x^3-f(x)*x^2-3*x^3-6*f(x)*x+4*x^2+f(x)+7*x-3) ogf] A233099 8.11887 [(3*x^3-4*x^2-7*x+3)/(x-1)/(6*x-1)/(x+1) ogf] A233100 4.87516 [(18*x^5-89*x^4+93*x^3+29*x^2-56*x+10)/(x-1)/(12*x^4-40*x^3+7*x^2+12*x-1) ogf] A233106 5.20811 [-(f(x)-1)*(15*f(x)*x^3-23*f(x)*x^2+9*f(x)*x+11*x^2-f(x)-7*x+1) ogf] A233106 5.39084 [{-a(n+3)+9*a(n+2)-23*a(n+1)+15*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A233106 9.60244 [-(11*x^2-7*x+1)/(x-1)/(3*x-1)/(5*x-1) ogf] A233107 3.9856 [-(3885*f(x)+188)*(147*f(x)*x^3-175*f(x)*x^2+29*f(x)*x+112*x^2-f(x)-39*x+2) ogf] A233107 4.25131 [{-a(n+3)+29*a(n+2)-175*a(n+1)+147*a(n),a(0)=2,a(1)=19,a(2)=313} ogf] A233107 7.39358 [-(16*x-1)*(7*x-2)/(x-1)/(7*x-1)/(21*x-1) ogf] A233108 3.89018 [-(7230*x^4-8295*x^3+2937*x^2-353*x+6)/(x-1)/(27*x^2-18*x+1)/(335*x^2-92*x+1) ogf] A233123 11.6845 [-(8*x-1)/(12*x-1)/(4*x-1) ogf] A233123 5.96925 [-(13*f(x)+3)*(48*f(x)*x^2-16*f(x)*x+f(x)+8*x-1) ogf] A233123 6.53774 [{a(n+2)-16*a(n+1)+48*a(n),a(0)=1,a(1)=8} ogf] A233123 7.62736 [-(-384*x^2+96*x-8)/(-384*x^3+176*x^2-24*x+1) lgdogf] A233124 4.23679 [(940*f(x)+979)*(1024*f(x)*x^3-448*f(x)*x^2+48*f(x)*x+192*x^2-f(x)-64*x+3) ogf] A233124 4.30625 [{-a(n+3)+48*a(n+2)-448*a(n+1)+1024*a(n),a(0)=3,a(1)=80,a(2)=2688} ogf] A233124 7.50517 [-(192*x^2-64*x+3)/(8*x-1)/(128*x^2-40*x+1) ogf] A233125 4.11716 [-2*(40960*x^3-7168*x^2+352*x-5)/(16*x-1)/(24576*x^3-3840*x^2+144*x-1) ogf] A233130 10.6558 [(3/4*x+3/4+1/4*(-7*x^2-6*x+1)^(1/2))*x revogf] A233139 12.6602 [(x^3+2*x-1)/(2*x^4+x^3+2*x-1) ogf] A233139 7.35498 [-(-2*x^6-12*x^4+8*x^3)/(-2*x^7-x^6-4*x^5-2*x^4+2*x^3-4*x^2+4*x-1) lgdogf] A233139 8.67722 [-2*f(x)*x^4-f(x)*x^3+x^3-2*f(x)*x+f(x)+2*x-1 ogf] A233141 5.47198 [-(x^4-22*x^3+93*x^2-34*x+2)/(x-1)/(x^2-6*x+1)/(x^2-18*x+1) ogf] A233149 8.66494 [-(x^7+4*x^6+23*x^4+3*x^3+20*x^2-4*x+1)/(x-1)^4/(x+1)^4 ogf] A233152 10.7509 [-24*(3*x-2)/(18*x^2-15*x+1) ogf] A233152 5.32113 [-(1519*f(x)+5820)*(18*f(x)*x^2-15*f(x)*x+f(x)+72*x-48) ogf] A233152 6.05508 [{a(n+2)-15*a(n+1)+18*a(n),a(0)=48,a(1)=648} ogf] A233152 7.52560 [-(-54*x^2+72*x-27)/(-54*x^3+81*x^2-33*x+2) lgdogf] A233153 3.9595 [-(23763*f(x)+229792)*(81*f(x)*x^3-90*f(x)*x^2+25*f(x)*x+432*x^2-f(x)-456*x+96) ogf] A233153 4.24922 [{a(n+3)-25*a(n+2)+90*a(n+1)-81*a(n),a(0)=96,a(1)=1944,a(2)=40392} ogf] A233153 7.57470 [-24*(18*x^2-19*x+4)/(81*x^3-90*x^2+25*x-1) ogf] A233154 3.41655 [-(6705167*f(x)+59305005)*(810*f(x)*x^4-972*f(x)*x^3+351*f(x)*x^2+6480*x^3-42*f(x)*x-6696*x^2+f(x)+2232*x-192) ogf] A233154 6.18576 [-24*(270*x^3-279*x^2+93*x-8)/(3*x-1)/(270*x^3-234*x^2+39*x-1) ogf] A233156 5.00710 [{-a(n+4)+5*a(n+3)-2*a(n+2),a(0)=27,a(1)=96,a(2)=432,a(3)=1944} ogf] A233156 5.55835 [-(f(x)-27)*(2*f(x)*x^2+24*x^3-5*f(x)*x-6*x^2+f(x)+39*x-27) ogf] A233156 9.46655 [-3*(8*x^3-2*x^2+13*x-9)/(2*x^2-5*x+1) ogf] A233157 5.67078 [-3*(216*x^6-360*x^5+96*x^4-186*x^3+117*x^2-115*x+27)/(6*x^3-15*x^2+9*x-1) ogf] A233162 4.63407 [{-a(n+4)+12*a(n+3)-44*a(n+2)+48*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=11} ogf] A233162 4.7386 [-(517*f(x)-652)*(48*f(x)*x^3-44*f(x)*x^2-29*x^3+12*f(x)*x+35*x^2-f(x)-11*x+1) ogf] A233162 8.40311 [(29*x^3-35*x^2+11*x-1)/(6*x-1)/(2*x-1)/(4*x-1) ogf] A233163 4.91803 [{a(n+3)-24*a(n+2)+128*a(n+1),a(0)=3,a(1)=8,a(2)=96} ogf] A233163 5.79234 [-(-1280*x^2+192*x-8)/(36864*x^4-15104*x^3+2208*x^2-136*x+3) lgdogf] A233163 6.77028 [-128*f(x)*x^2+24*f(x)*x+288*x^2-f(x)-64*x+3 ogf] A233163 8.83578 [(288*x^2-64*x+3)/(16*x-1)/(8*x-1) ogf] A233164 5.1923 [-(49*f(x)-1051)*(512*f(x)*x^2-48*f(x)*x-3840*x^2+f(x)+464*x-11) ogf] A233164 5.19231 [{a(n+3)-48*a(n+2)+512*a(n+1),a(0)=11,a(1)=64,a(2)=1280} ogf] A233164 5.82810 [-(-53248*x^2+3584*x-64)/(1966080*x^4-421888*x^3+31744*x^2-992*x+11) lgdogf] A233164 9.21216 [(3840*x^2-464*x+11)/(32*x-1)/(16*x-1) ogf] A233165 4.40608 [-(705*f(x)-50224)*(2048*f(x)*x^2-96*f(x)*x-67584*x^2+f(x)+4096*x-48) ogf] A233165 4.48407 [{a(n+3)-96*a(n+2)+2048*a(n+1),a(0)=48,a(1)=512,a(2)=18432} ogf] A233165 7.79538 [16*(4224*x^2-256*x+3)/(64*x-1)/(32*x-1) ogf] A233166 3.47483 [-(6913*f(x)-2155756)*(8192*f(x)*x^2-192*f(x)*x-1425408*x^2+f(x)+41216*x-236) ogf] A233166 3.65303 [{a(n+3)-192*a(n+2)+8192*a(n+1),a(0)=236,a(1)=4096,a(2)=278528} ogf] A233166 6.10579 [4*(356352*x^2-10304*x+59)/(128*x-1)/(64*x-1) ogf] A233167 3.08566 [-(60417*f(x)-92177632)*(32768*f(x)*x^2-384*f(x)*x-32636928*x^2+f(x)+446464*x-1248) ogf] A233167 3.28968 [{a(n+3)-384*a(n+2)+32768*a(n+1),a(0)=1248,a(1)=32768,a(2)=4325376} ogf] A233167 5.37907 [32*(1019904*x^2-13952*x+39)/(256*x-1)/(128*x-1) ogf] A233170 3.58707 [(1913*f(x)+13867)*(16384*f(x)*x^3-2816*f(x)*x^2+128*f(x)*x+4096*x^2-f(x)-480*x+10) ogf] A233170 3.72720 [{-a(n+3)+128*a(n+2)-2816*a(n+1)+16384*a(n),a(0)=10,a(1)=800,a(2)=78336} ogf] A233170 6.27738 [-2*(2048*x^2-240*x+5)/(16*x-1)/(1024*x^2-112*x+1) ogf] A233175 4.50416 [{a(n+4)-12*a(n+3)+128*a(n+1),a(0)=3,a(1)=8,a(2)=80,a(3)=800} ogf] A233175 4.82589 [-(f(x)-3)*(128*f(x)*x^3-224*x^3-12*f(x)*x+16*x^2+f(x)+28*x-3) ogf] A233175 7.94851 [(224*x^3-16*x^2-28*x+3)/(4*x-1)/(32*x^2+8*x-1) ogf] A233176 3.24745 [(-433476669+75397028*f(x))*(8192*f(x)*x^4-3072*f(x)*x^3-53248*x^4+64*f(x)*x^2+20992*x^3+32*f(x)*x-576*x^2-f(x)-272*x+11) ogf] A233176 5.54518 [(53248*x^4-20992*x^3+576*x^2+272*x-11)/(8*x-1)/(1024*x^3-256*x^2-24*x+1) ogf] A233191 6.17335 [-(2*x^6+x^4+2*x^2-1)/(8*x^12+8*x^9+18*x^8-12*x^7-4*x^6+8*x^5-5*x^4-4*x^3-4*x^2+1) ogf] A233196 4.80296 [{a(n+3)-20*a(n+2)+64*a(n+1),a(0)=1,a(1)=3,a(2)=36} ogf] A233196 4.94423 [-(-7+10*f(x))*(64*f(x)*x^2-20*f(x)*x-40*x^2+f(x)+17*x-1) ogf] A233196 6.00370 [-(288*x^2-48*x+3)/(-2560*x^4+1888*x^3-444*x^2+37*x-1) lgdogf] A233196 8.84756 [(40*x^2-17*x+1)/(16*x-1)/(4*x-1) ogf] A233197 3.65401 [{-a(n+4)+64*a(n+3)-960*a(n+2)+4096*a(n+1),a(0)=3,a(1)=36,a(2)=1440,a(3)=62720} ogf] A233197 3.75694 [-(668*f(x)-2409)*(4096*f(x)*x^3-960*f(x)*x^2-7168*x^3+64*f(x)*x+2016*x^2-f(x)-156*x+3) ogf] A233197 6.42754 [(7168*x^3-2016*x^2+156*x-3)/(8*x-1)/(512*x^2-56*x+1) ogf] A233211 3.91424 [-(67133824*f(x)-8686965)*(225*f(x)*x^3-259*f(x)*x^2+35*f(x)*x+165*x^2-f(x)-47*x+2) ogf] A233211 4.43614 [{-a(n+3)+35*a(n+2)-259*a(n+1)+225*a(n),a(0)=2,a(1)=23,a(2)=452} ogf] A233211 7.71503 [-(165*x^2-47*x+2)/(x-1)/(25*x-1)/(9*x-1) ogf] A233212 3.25011 [-(5373913142*f(x)-1979201207)*(2205*f(x)*x^3-2331*f(x)*x^2+127*f(x)*x+1680*x^2-f(x)-386*x+6) ogf] A233212 3.76600 [{-a(n+3)+127*a(n+2)-2331*a(n+1)+2205*a(n),a(0)=6,a(1)=376,a(2)=35446} ogf] A233212 6.41238 [-2*(840*x^2-193*x+3)/(x-1)/(105*x-1)/(21*x-1) ogf] A233213 3.23353 [{-a(n+3)+491*a(n+2)-22099*a(n+1)+21609*a(n),a(0)=23,a(1)=7222,a(2)=3054973} ogf] A233213 5.40286 [-(17248*x^2-4071*x+23)/(x-1)/(49*x-1)/(441*x-1) ogf] A233218 3.46574 [-(-242349923+400031121*f(x))*(147*f(x)*x^3-175*f(x)*x^2-98*x^3+29*f(x)*x+234*x^2-f(x)-64*x+3) ogf] A233218 3.58692 [{-a(n+4)+29*a(n+3)-175*a(n+2)+147*a(n+1),a(0)=3,a(1)=23,a(2)=376,a(3)=7222} ogf] A233218 6.57601 [(98*x^3-234*x^2+64*x-3)/(x-1)/(7*x-1)/(21*x-1) ogf] A233224 5.22199 [-(18*x^4+75*x^3+38*x^2-28*x+2)/(x-1)/(2*x^2+5*x-1)/(14*x^2+15*x-1) ogf] A233231 6.86959 [-(3*x^6+2*x^5+7*x^4-13*x^3+2*x^2+x+2)/(x-1)/(x^6-10*x^3+1) ogf] A233234 4.01766 [-(120*x^4-738*x^3+1179*x^2-287*x+6)/(x-1)/(6*x^2-15*x+1)/(20*x^2-77*x+1) ogf] A233235 4.14853 [-(70*x^4-2703*x^3+12411*x^2-2649*x+23)/(x-1)/(7*x^2-280*x+1)/(5*x^2-30*x+1) ogf] A233240 4.89598 [(75*x^5-31*x^4-239*x^3-77*x^2+50*x-3)/(x-1)/(6*x-1)/(x+1)/(20*x^2+17*x-1) ogf] A233247 8.95457 [-(x^3+x^2-1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A233251 11.4954 [-(64*x-3)/(48*x-1)/(8*x-1) ogf] A233251 5.99228 [-(55*f(x)+4)*(384*f(x)*x^2-56*f(x)*x+f(x)+64*x-3) ogf] A233251 6.47441 [{a(n+2)-56*a(n+1)+384*a(n),a(0)=3,a(1)=104} ogf] A233251 6.86920 [-(-24576*x^2+2304*x-104)/(-24576*x^3+4736*x^2-232*x+3) lgdogf] A233252 4.37344 [-(140*f(x)-31)*(2304*f(x)*x^2-160*f(x)*x+f(x)+416*x-10) ogf] A233252 4.80598 [{a(n+2)-160*a(n+1)+2304*a(n),a(0)=10,a(1)=1184} ogf] A233252 8.25177 [-2*(208*x-5)/(144*x-1)/(16*x-1) ogf] A233253 3.23896 [{-a(n+3)+512*a(n+2)-33792*a(n+1)+589824*a(n),a(0)=36,a(1)=13952,a(2)=6049792} ogf] A233253 5.35827 [-4*(30720*x^2-1120*x+9)/(32*x-1)/(18432*x^2-480*x+1) ogf] A233257 5.26750 [{a(n+3)-16*a(n+2)+48*a(n+1),a(0)=3,a(1)=10,a(2)=104} ogf] A233257 5.47206 [-(-11+12*f(x))*(48*f(x)*x^2-16*f(x)*x-88*x^2+f(x)+38*x-3) ogf] A233257 6.55374 [-(416*x^2-112*x+10)/(-4224*x^4+3232*x^3-840*x^2+86*x-3) lgdogf] A233257 9.88811 [(88*x^2-38*x+3)/(12*x-1)/(4*x-1) ogf] A233258 3.22696 [{-a(n+5)+48*a(n+4)-448*a(n+3)+1024*a(n+2),a(0)=11,a(1)=136,a(2)=4672,a(3)=166400,a(4)=6049792} ogf] A233258 3.56889 [(58*f(x)+47855)*(1024*f(x)*x^3+16384*x^4-448*f(x)*x^2-8192*x^3+48*f(x)*x+3072*x^2-f(x)-392*x+11) ogf] A233258 5.61356 [-(16384*x^4-8192*x^3+3072*x^2-392*x+11)/(8*x-1)/(128*x^2-40*x+1) ogf] A233289 4.77997 [-(x^7-x^6+x^5-x^4+4*x^3+2*x^2+x-1)/(x-1)/(x^9+3*x^7-x^6+6*x^5+17*x^4+15*x^3+2*x^2+2*x-1) ogf] A233325 10.0347 [-(-36*x^2-12*x+13)/(-36*x^3+36*x^2+x-1) lgdogf] A233325 15.3865 [(6*x+1)/(6*x-1)/(x-1) ogf] A233325 7.95855 [(79*f(x)+90)*(6*f(x)*x^2-7*f(x)*x+f(x)-6*x-1) ogf] A233325 8.34208 [{-a(n+2)+7*a(n+1)-6*a(n),a(0)=1,a(1)=13} ogf] A233326 14.8843 [(7*x+1)/(7*x-1)/(x-1) ogf] A233326 7.52579 [(106*f(x)+119)*(7*f(x)*x^2-8*f(x)*x+f(x)-7*x-1) ogf] A233326 8.06981 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=1,a(1)=15} ogf] A233326 9.70716 [-(-49*x^2-14*x+15)/(-49*x^3+49*x^2+x-1) lgdogf] A233328 10.2367 [-(-64*x^2-16*x+17)/(-64*x^3+64*x^2+x-1) lgdogf] A233328 15.6962 [(8*x+1)/(8*x-1)/(x-1) ogf] A233328 7.93628 [(137*f(x)+152)*(8*f(x)*x^2-9*f(x)*x+f(x)-8*x-1) ogf] A233328 8.50999 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=1,a(1)=17} ogf] A233329 11.1909 [-(-5*x^3-27*x^2-21*x-7)/(-x^4-4*x^3+4*x+1) lgdogf] A233329 8.90458 [-(x^2+4*x+1)/(x+1)^2/(x-1)^5 ogf] A233334 9.79446 [-(x^6-x^5+x^4-x^3+x^2-x-1)/(x-1)^2 ogf] A233347 14.5595 [x^3-x^2+1-f(x)+f(x)^2*x ogf] A233389 4.29183 [f(x)^3*x^4+11*f(x)^3*x^3-f(x)^3*x^2-6*f(x)^2*x^3-19*f(x)^2*x^2+2*f(x)^2*x+12*f(x)*x^2+7*f(x)*x-f(x)-8*x+1 ogf] A233402 9.26164 [-(3*x^5+2*x^4-9*x^3-5*x^2+11*x+9)/(x-1)^3/(x+1)^3 ogf] A233411 11.9896 [-(12*x^2-4*x-2)/(4*x^3-2*x^2-2*x+1) lgdogf] A233411 17.3184 [2*x^2/(2*x-1)/(2*x^2-1) ogf] A233411 7.08478 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A233411 9.6213 [-4*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+2*x^2-f(x) ogf] A233431 5.83311 [-(2*x^5+2*x^4+3*x^3+x^2-x)/(-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A233449 5.56901 [{(-2*n-6)*a(n+1)+(n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=8} ogf] A233450 8.31219 [x*(x^3+x^2-5*x-1)/(x-1)/(x^4-10*x^2+1) ogf] A233457 4.83252 [x*(x+1)*(7*x^3+5*x^2+3*x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)*(x^4+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A233458 99.9999 Evaluated at exp(-Pi) exp(-Pi)*2^(3/4)*(2+2^(1/2))^2 A233474 7.01924 [-(x^4+3*x^3+10*x^2+3*x+1)/(x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A233481 13.4808 [-(3*x-2)/(2*x^2-3*x+1) lgdegf] A233481 29.0041 [-(3*x-2)/(2*x^2-3*x+1) lgdegf] A233481 3.63527 [{(-2*n^3-13*n^2-27*n-18)*a(n+1)+(3*n^2+14*n+15)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A233481 7.61268 [-2*f(x)^2*x^3+5*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-x^2 egf] A233490 6.08132 [-(2028*x^3-14118*x^2+809*x+16928)/(x+1)/(3*x^3-24*x^2+26*x-1) ogf] A233522 11.8982 [-(9*x^8-4*x^3-1)/(x^9-x^4-x+1) lgdogf] A233522 21.8671 [1/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^3+x^2-1) ogf] A233581 12.1934 [-(2*x^2-2*x+1)/(x^3-3*x^2+2*x-1) ogf] A233581 6.70086 [{a(n+3)-2*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A233581 6.70087 [(4*f(x)-5)*(f(x)*x^3-3*f(x)*x^2+2*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A233581 7.99781 [-(2*x^4-4*x^3+5*x^2-2*x)/(2*x^5-8*x^4+11*x^3-9*x^2+4*x-1) lgdogf] A233583 12.5106 [(x^3-2*x+2)/(x-1)^2 ogf] A233583 5.81632 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=2,a(1)=2,a(2)=2,a(3)=3} ogf] A233583 7.12968 [(f(x)+2)*(f(x)*x^2-x^3-2*f(x)*x+f(x)+2*x-2) ogf] A233583 8.28825 [-(-x^3+3*x^2-2*x+2)/(x^4-x^3-2*x^2+4*x-2) lgdogf] A233611 5.76785 [-8*(4056*x^3-7280*x^2-1632*x+2133)/(2*x-1)/(24*x^3-32*x^2-24*x+1) ogf] A233628 5.29451 [-2*(295*x^4-389*x^3-253*x^2+108*x+50)/(37*x^5-55*x^4-27*x^3+19*x^2+5*x-1) ogf] A233637 14.1431 [-6*(7*x+4)/(6*x^2+2*x-1) ogf] A233637 6.92422 [-(316*f(x)-1959)*(6*f(x)*x^2+2*f(x)*x-f(x)+42*x+24) ogf] A233637 7.91338 [{a(n+2)-2*a(n+1)-6*a(n),a(0)=24,a(1)=90} ogf] A233637 9.63368 [-(-42*x^2-48*x-15)/(-42*x^3-38*x^2-x+4) lgdogf] A233638 4.13474 [-2*(17*x^6-405*x^5+619*x^4+312*x^3-505*x^2-3*x+45)/(2*x^7-48*x^6+81*x^5+26*x^4-67*x^3+9*x^2+6*x-1) ogf] A233656 10.1626 [-(-3*x^3-15*x^2+13*x-3)/(-3*x^4-2*x^3+10*x^2-6*x+1) lgdogf] A233656 13.8278 [(x^2+2*x-1)/(3*x-1)/(x-1)^2 ogf] A233656 7.53122 [(14*f(x)-1)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-x^2-f(x)-2*x+1) ogf] A233656 7.53123 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A233657 4.66726 [{(27*n^3+378*n^2+1761*n+2730)*a(n+1)+(-4*n^3-62*n^2-290*n-364)*a(n+2),a(0)=1,a(1)=10} ogf] A233658 4.60796 [{(-256*n^4-3200*n^3-14960*n^2-31000*n-24024)*a(n+1)+(27*n^4+378*n^3+1941*n^2+4302*n+3432)*a(n+2),a(0)=1,a(1)=7} ogf] A233666 3.78462 [{(-256*n^4-3456*n^3-17456*n^2-39096*n-32760)*a(n+1)+(27*n^4+405*n^3+2220*n^2+5220*n+4368)*a(n+2),a(0)=1,a(1)=8} ogf] A233667 3.86420 [{(-256*n^4-3968*n^3-23024*n^2-59272*n-57120)*a(n+1)+(27*n^4+459*n^3+2832*n^2+7404*n+6720)*a(n+2),a(0)=1,a(1)=10} ogf] A233668 13.0834 [64*x/(1+(1+4*x)^(1/2))^6 revogf] A233668 3.35647 [{(3125*n^4+31250*n^3+116875*n^2+193750*n+120120)*a(n+1)+(-256*n^4-2944*n^3-12528*n^2-23336*n-16016)*a(n+2),a(0)=1,a(1)=6} ogf] A233669 3.40352 [{(-3125*n^4-34375*n^3-141250*n^2-257000*n-174720)*a(n+1)+(256*n^4+3200*n^3+14768*n^2+29704*n+21840)*a(n+2),a(0)=1,a(1)=7} ogf] A233675 3.9967 [-(1415*f(x)+89064)*(16*f(x)*x^4+4*f(x)*x^3-12*f(x)*x^2+224*x^3-f(x)*x+112*x^2+f(x)-136*x-48) ogf] A233675 7.29629 [-8*(28*x^3+14*x^2-17*x-6)/(16*x^4+4*x^3-12*x^2-x+1) ogf] A233684 5.11713 [-(7181*f(x)+28242)*(2*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+20*x^2+f(x)-44*x-32) ogf] A233684 5.46701 [{-a(n+3)+2*a(n+2)+5*a(n+1)-2*a(n),a(0)=32,a(1)=108,a(2)=356} ogf] A233684 9.99438 [-4*(5*x^2-11*x-8)/(2*x^3-5*x^2-2*x+1) ogf] A233710 3.55856 [-4*(736*x^7-208*x^6-1324*x^5+96*x^4+725*x^3+78*x^2-111*x-24)/(128*x^8-64*x^7-228*x^6+68*x^5+129*x^4-14*x^3-24*x^2+1) ogf] A233726 4.14159 [(1098143*f(x)-2535160)*(2*f(x)*x^4+7*f(x)*x^3-5*f(x)*x^2+24*x^3-3*f(x)*x+88*x^2+f(x)-28*x-40) ogf] A233726 7.82300 [-4*(6*x^3+22*x^2-7*x-10)/(2*x^4+7*x^3-5*x^2-3*x+1) ogf] A233735 4.57278 [-x^3*(x^21-x^20-x^11+x^10+x^9-x^8+x^6-x^5+x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A233744 3.73111 [{(-n^2-7*n-12)*a(n+1)+(-n^2-6*n-8)*a(n+2)+(2*n+8)*a(n+3)-a(n+4),a(0)=1,a(1)=2,a(2)=8,a(3)=36} ogf] A233745 5.57822 [-(2*x^23-2*x^22+x^13-x^12+x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3-2*x^2-1)/(x-1)^2 ogf] A233746 9.48691 [-(x^26-x^25+x^6-x^3+x^2+x-3)/(x-1)^2 ogf] A233785 5.23483 [(7899080*f(x)-119040269)*(40*f(x)*x^4-18*f(x)*x^2+528*x^3+144*x^2+f(x)-188*x-48) ogf] A233785 8.77186 [-4*(132*x^3+36*x^2-47*x-12)/(40*x^4-18*x^2+1) ogf] A233795 7.84387 [x^4*(x^32-x^31+x^10+x^7+x^5+x^3+1)/(x+1)/(x^4-x^2+1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A233811 5.33185 [-4*(1392*x^5+312*x^4-1176*x^3-264*x^2+107*x+24)/(240*x^6-220*x^4+30*x^2-1) ogf] A233820 13.8076 [-5*(2*x^3+3*x^2+x+4)/(x-1)/(x+1)/(x^2+1) ogf] A233820 8.90814 [(1516*f(x)-23515)*(f(x)*x^4+10*x^3+15*x^2-f(x)+5*x+20) ogf] A233828 12.3224 [-(x^2+3*x-1)/(x^3+2*x^2+2*x-1) ogf] A233828 6.53621 [-(f(x)+2)*(f(x)*x^3+2*f(x)*x^2+2*f(x)*x+x^2-f(x)+3*x-1) ogf] A233828 6.71129 [{a(n+3)-2*a(n+2)-2*a(n+1)-a(n),a(0)=-1,a(1)=1,a(2)=1} ogf] A233828 7.82984 [-(-x^4-6*x^3-x^2+2*x-1)/(-x^5-5*x^4-7*x^3-3*x^2+5*x-1) lgdogf] A233831 11.9575 [-(x^2-x-1)/(x^3-2*x^2-2*x-1) ogf] A233831 6.28798 [-(31*f(x)-2)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2-f(x)-x-1) ogf] A233831 6.51255 [{a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=1,a(2)=1} ogf] A233831 7.59798 [-(-x^4+2*x^3-x^2-6*x-1)/(-x^5+3*x^4+x^3-3*x^2-3*x-1) lgdogf] A233835 16.5013 [256*x/(1+(1+4*x)^(1/2))^8 revogf] A233838 4.03492 [-64*(28800*x^3-42720*x^2+188*x+3151)/(4*x+1)/(128*x^3-224*x^2+60*x-1) ogf] A233868 5.06910 [{-a(n+5)+5*a(n+4)-4*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=7,a(4)=31} ogf] A233868 5.40988 [(44304*f(x)-127573)*(-12*x^4+4*f(x)*x^2+5*x^3-5*f(x)*x+2*x^2+f(x)+3*x-1) ogf] A233868 9.19680 [(12*x^4-5*x^3-2*x^2-3*x+1)/(4*x-1)/(x-1) ogf] A233877 5.05783 [-4*(64*x^5-172*x^4-86*x^3+280*x^2-18*x-19)/(x^2-3*x+1)/(12*x^4-20*x^2+1) ogf] A233895 10.4827 [-(-2*x^3-3*x^2-x)/(4*x^4+4*x^3+6*x^2+4*x+1) revogf] A233897 5.20311 [-16*(5760*x^5+1280*x^4-1036*x^3-228*x^2+41*x+9)/(4*x-1)/(4*x+1)/(20*x^2-1)/(8*x^2-1) ogf] A233921 4.66802 [-2*(200*x^5+644*x^4+198*x^3-403*x^2-35*x+49)/(2*x-1)/(10*x^5+35*x^4+20*x^3-13*x^2-4*x+1) ogf] A233942 3.76339 [-(11243134*f(x)+16270735)*(2*f(x)*x^4-13*f(x)*x^3+3*f(x)*x^2+18*x^3+5*f(x)*x-112*x^2-f(x)+6*x+44) ogf] A233942 7.34320 [-2*(9*x^3-56*x^2+3*x+22)/(2*x^4-13*x^3+3*x^2+5*x-1) ogf] A233951 3.81275 [(383809*f(x)-8950716)*(6*f(x)*x^4+7*f(x)*x^3-5*f(x)*x^2+108*x^3-4*f(x)*x+144*x^2+f(x)-60*x-80) ogf] A233951 7.07425 [-4*(3*x+4)*(9*x^2-5)/(6*x^4+7*x^3-5*x^2-4*x+1) ogf] A233960 5.96965 [-4*(56*x^4-12*x^3-126*x^2-x+12)/(2*x^2+2*x-1)/(8*x^3-12*x^2-2*x+1) ogf] A233969 13.3689 [-(x^4-x^3-x^2-2)/(-x^4+1) ogf_with_Euler_transform] A233982 4.93507 [(43919*f(x)-345208)*(4*f(x)*x^3+8*f(x)*x^2+2*f(x)*x+56*x^2-f(x)+124*x+56) ogf] A233982 5.23033 [{-a(n+3)+2*a(n+2)+8*a(n+1)+4*a(n),a(0)=56,a(1)=236,a(2)=976} ogf] A233982 9.41460 [-4*(14*x^2+31*x+14)/(4*x^3+8*x^2+2*x-1) ogf] A234029 3.92344 [-(6661*f(x)-58934)*(6*f(x)*x^4+18*f(x)*x^3+6*f(x)*x^2+78*x^3-7*f(x)*x+240*x^2+f(x)+120*x-61) ogf] A234029 7.23968 [-(78*x^3+240*x^2+120*x-61)/(6*x^4+18*x^3+6*x^2-7*x+1) ogf] A234038 4.5706 [-f(x)*(16*f(x)*x^5-24*f(x)*x^4+8*f(x)*x^3+8*x^4+2*f(x)*x^2-8*x^3-3*f(x)*x+f(x)+2*x-1) ogf] A234038 8.03795 [-(8*x^4-8*x^3+2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2-2*x+1) ogf] A234041 5.64097 [{(-n^2-11*n-30)*a(n+1)+(n^2+5*n+6)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=10} ogf] A234041 8.54868 [-(x^6+x^5+2*x^4+7*x^3+2*x^2+x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A234043 7.44484 [-(14*x^3+73*x^2+37*x+1)/(x-1)^5 ogf] A234043 7.44484 [-(28*x^3+261*x^2+294*x+42)/(14*x^4+59*x^3-36*x^2-36*x-1) lgdogf] A234044 7.03632 [(2*x^5+x^4+x^3+x^2+2)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A234045 26.2789 [x^6-x-1 ogf_with_Euler_transform] A234045 7.74807 [-x^2*(x-1)*(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A234046 22.6542 [x^6-x^3-1 ogf_with_Euler_transform] A234046 8.13069 [-x*(x-1)*(x+1)*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A234076 4.41666 [-4*(352*x^5+240*x^4-588*x^3-416*x^2+23*x+24)/(8*x^4-14*x^2+1)/(8*x^2+4*x-1) ogf] A234107 4.96062 [-2*(152*x^5-712*x^4-364*x^3+331*x^2+47*x-28)/(2*x-1)/(4*x^2+2*x-1)/(2*x^3-10*x^2-x+1) ogf] A234116 3.22855 [-(624081385982*f(x)+2030983237995)*(5*f(x)*x^4-26*f(x)*x^3-4*f(x)*x^2+85*x^3+10*f(x)*x-437*x^2-f(x)-89*x+145) ogf] A234116 6.53305 [-(85*x^3-437*x^2-89*x+145)/(5*x^4-26*x^3-4*x^2+10*x-1) ogf] A234117 4.69240 [-(5904*x^4-11213*x^3-13417*x^2-867*x+673)/(144*x^5-277*x^4-324*x^3-10*x^2+20*x-1) ogf] A234124 4.40507 [-(228*x^5+1038*x^4+1221*x^3-93*x^2-441*x+91)/(12*x^6+54*x^5+57*x^4-18*x^3-24*x^2+10*x-1) ogf] A234133 10.1443 [-16*(14*x^2-x-2)/(2*x-1)/(8*x^2-1) ogf] A234133 5.48792 [-(f(x)-224)*(16*f(x)*x^3-8*f(x)*x^2-2*f(x)*x+224*x^2+f(x)-16*x-32) ogf] A234133 5.72245 [{a(n+3)-2*a(n+2)-8*a(n+1)+16*a(n),a(0)=32,a(1)=80,a(2)=192} ogf] A234134 5.42537 [-8*(200*x^5-172*x^4-122*x^3+100*x^2+11*x-10)/(2*x-1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A234135 4.89122 [-8*(584*x^5-412*x^4-362*x^3+242*x^2+35*x-24)/(2*x-1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A234136 4.87794 [-8*(1736*x^5-1084*x^4-1082*x^3+646*x^2+107*x-64)/(2*x-1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A234137 4.79079 [-8*(4616*x^5-2652*x^4-2882*x^3+1610*x^2+287*x-160)/(2*x-1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A234138 4.77884 [-8*(13448*x^5-7324*x^4-8402*x^3+4498*x^2+839*x-448)/(2*x-1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A234139 4.79010 [-8*(35336*x^5-18652*x^4-22082*x^3+11546*x^2+2207*x-1152)/(2*x-1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A234146 3.24561 [-4*(1530*x^7+2673*x^6-3115*x^5-4199*x^4+697*x^3+858*x^2-40*x-46)/(204*x^8+322*x^7-478*x^6-494*x^5+192*x^4+105*x^3-25*x^2-6*x+1) ogf] A234154 4.90211 [(2651*f(x)-15284)*(6*f(x)*x^3+9*f(x)*x^2-7*f(x)*x+60*x^2+f(x)+96*x-46) ogf] A234154 5.02674 [{-a(n+3)+7*a(n+2)-9*a(n+1)-6*a(n),a(0)=46,a(1)=226,a(2)=1108} ogf] A234154 9.26805 [-2*(30*x^2+48*x-23)/(6*x^3+9*x^2-7*x+1) ogf] A234155 3.98826 [-2*(130*x^5-450*x^4-1539*x^3+299*x^2+703*x-113)/(10*x^6-35*x^5-118*x^4+31*x^3+59*x^2-16*x+1) ogf] A234162 3.40398 [(11858826859*f(x)-345026819436)*(264*f(x)*x^4+132*f(x)*x^3-41*f(x)*x^2+6480*x^3-4*f(x)*x+4344*x^2+f(x)-222*x-136) ogf] A234162 6.40096 [-2*(3240*x^3+2172*x^2-111*x-68)/(33*x^2-1)/(8*x^2+4*x-1) ogf] A234170 4.36342 [-8*(98448*x^5+13152*x^4-22680*x^3-2632*x^2+567*x+56)/(16176*x^6-4144*x^4+154*x^2-1) ogf] A234177 5.22222 [-2*(96*x^4+294*x^3+75*x^2-186*x+38)/(12*x^5+36*x^4+3*x^3-27*x^2+10*x-1) ogf] A234185 3.03201 [-2*(246960*x^6-124320*x^5-147294*x^4+51305*x^3+18990*x^2-619*x-206)/(48*x^3-32*x^2-6*x+1)/(210*x^4-88*x^2+1) ogf] A234210 4.85221 [(42722729*f(x)-1624792439)*(112*f(x)*x^4-24*f(x)*x^2+2048*x^3+480*x^2+f(x)-308*x-72) ogf] A234210 8.17213 [-4*(512*x^3+120*x^2-77*x-18)/(112*x^4-24*x^2+1) ogf] A234220 4.57616 [(3971*f(x)-832708)*(80*f(x)*x^3-20*f(x)*x^2-4*f(x)*x+2000*x^2+f(x)-20*x-104) ogf] A234220 4.80307 [{-a(n+3)+4*a(n+2)+20*a(n+1)-80*a(n),a(0)=104,a(1)=436,a(2)=1824} ogf] A234220 8.42278 [-4*(500*x^2-5*x-26)/(4*x-1)/(20*x^2-1) ogf] A234221 4.14794 [-4*(90000*x^5-26580*x^4-11976*x^3+3507*x^2+373*x-109)/(3*x-1)/(4*x-1)/(12*x^2-1)/(20*x^2-1) ogf] A234228 4.21524 [-4*(1033800*x^5+110640*x^4-126860*x^3-13696*x^2+1315*x+142)/(90*x^2-1)/(744*x^4-92*x^2+1) ogf] A234249 11.7637 [-(7*x^2+42*x+14)/(x^3+4*x^2-4*x-1) lgdogf] A234249 3.76895 [{(n+4)*a(n+4)+(-2+4*n)*a(n+3)+(-50-4*n)*a(n+2)+(-8-n)*a(n+1),a(0)=15,a(1)=210,a(2)=1365,a(3)=5985} ogf] A234249 6.47002 [-15*(x^2+5*x+1)/(x-1)^9 ogf] A234250 6.84486 [x*(x^4-3*x^3+2*x^2+x-16)/(x-1)^7 ogf] A234250 7.99697 [-(-3*x^4+8*x^3-x^2-10*x+111)/(-x^5+4*x^4-5*x^3+x^2+17*x-16) lgdogf] A234253 3.84700 [{(-n^2-22*n-121)*a(n+1)+(2*n^2+28*n+130)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=82,a(2)=2107} ogf] A234255 13.5156 [-x*(3*x^3-3*x^2+x+2)/(x^2-x+1)/(x-1) ogf] A234255 6.89958 [{a(n+5)-2*a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=2,a(2)=5,a(3)=3,a(4)=1} ogf] A234255 7.70812 [-(9*f(x)+91)*(f(x)*x^3+3*x^4-2*f(x)*x^2-3*x^3+2*f(x)*x+x^2-f(x)+2*x) ogf] A234259 10.7495 [-2*(54*x^2-3*x-10)/(2*x-1)/(6*x^2-1) ogf] A234259 5.87157 [(37*f(x)-6010)*(12*f(x)*x^3-6*f(x)*x^2-2*f(x)*x+108*x^2+f(x)-6*x-20) ogf] A234259 5.97195 [{a(n+3)-2*a(n+2)-6*a(n+1)+12*a(n),a(0)=20,a(1)=46,a(2)=104} ogf] A234260 5.72720 [-2*(324*x^5-294*x^4-212*x^3+185*x^2+25*x-23)/(2*x-1)/(x-1)/(6*x^2-1)/(2*x^2-1) ogf] A234261 5.60552 [-2*(876*x^5-666*x^4-580*x^3+421*x^2+71*x-52)/(2*x-1)/(x-1)/(6*x^2-1)/(2*x^2-1) ogf] A234262 5.19259 [-2*(2268*x^5-1554*x^4-1508*x^3+989*x^2+187*x-122)/(2*x-1)/(x-1)/(6*x^2-1)/(2*x^2-1) ogf] A234263 5.27863 [-2*(5580*x^5-3498*x^4-3716*x^3+2261*x^2+463*x-280)/(2*x-1)/(x-1)/(6*x^2-1)/(2*x^2-1) ogf] A234264 5.15460 [-2*(13932*x^5-8250*x^4-9284*x^3+5381*x^2+1159*x-668)/(2*x-1)/(x-1)/(6*x^2-1)/(2*x^2-1) ogf] A234265 4.94843 [-2*(33420*x^5-18954*x^4-22276*x^3+12469*x^2+2783*x-1552)/(2*x-1)/(x-1)/(6*x^2-1)/(2*x^2-1) ogf] A234267 14.3778 [-(x-1)/(2*x-1)/(x^3-6*x^2+5*x-1) ogf] A234267 6.81055 [-(73707*f(x)-644)*(2*f(x)*x^4-13*f(x)*x^3+16*f(x)*x^2-7*f(x)*x+f(x)+x-1) ogf] A234267 8.88043 [-(6*x^4-34*x^3+55*x^2-32*x+6)/(2*x^5-15*x^4+29*x^3-23*x^2+8*x-1) lgdogf] A234269 6.43208 [-4*f(x)^2*x^4-4*f(x)^2*x^3-4*f(x)*x^3+f(x)^2*x-4*f(x)*x^2-x^3-x^2+f(x) ogf] A234271 10.3222 [(x^4+4*x^3+10*x^2+4*x+1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A234271 6.08022 [(3*f(x)+8)*(f(x)*x^4-2*f(x)*x^3-x^4-2*f(x)*x^2-4*x^3-2*f(x)*x-10*x^2+f(x)-4*x-1) ogf] A234271 7.58729 [-(-6*x^6-24*x^5-6*x^4+6*x^2+24*x+6)/(-x^8-2*x^7+26*x^5+34*x^4+26*x^3-2*x-1) lgdogf] A234272 12.7187 [-f(x)*x^2+4*f(x)*x+x^2-f(x)+4*x+1 ogf] A234272 15.8426 [-(8*x^2-8)/(x^4-14*x^2+1) lgdogf] A234272 17.0382 [(x^2+4*x+1)/(x^2-4*x+1) ogf] A234272 8.76724 [{-a(n+3)+4*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=32} ogf] A234273 12.4538 [(x+1)*(x^2+1)/(x^6-x^4-2*x^3-x^2+1) ogf] A234274 8.49616 [(x^4+x^3+x^2+x+1)*(x+1)/(x^4-6*x^3-6*x^2-6*x+1) ogf] A234275 10.0425 [-(-4*x^3+12*x^2-20*x-4)/(4*x^4-13*x^3+7*x^2+x+1) lgdogf] A234275 13.6643 [-(4*x^3-9*x^2-2*x-1)/(x-1)^2 ogf] A234275 7.18556 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=1,a(1)=4,a(2)=16,a(3)=24} ogf] A234275 7.78996 [-(f(x)+279)*(f(x)*x^2+4*x^3-2*f(x)*x-9*x^2+f(x)-2*x-1) ogf] A234277 15.4915 [-(-32*x^2-13*x-5)/(-4*x^3-x^2+4*x+1) lgdogf] A234277 9.38018 [-x^7*(4*x+1)/(x+1)^4/(x-1)^5 ogf] A234279 10.9008 [-(-16*x^2+64*x-63)/(-16*x^3+64*x^2-65*x+2) lgdogf] A234279 16.2353 [-(x-2)/(16*x^2-32*x+1) ogf] A234279 8.38525 [(1952*f(x)+65)*(16*f(x)*x^2-32*f(x)*x+f(x)+x-2) ogf] A234279 8.97715 [{-a(n+2)+32*a(n+1)-16*a(n),a(0)=2,a(1)=63} ogf] A234290 10.6683 [-(6*x-1+2*(-6*x+1)^(1/2))/(12*x^2+4*x-1) lgdegf] A234290 13.3838 [-2*f(x)^2*x-f(x)^2+4*f(x)-3 egf] A234292 12.7176 [6*f(x)^3*x+f(x)^3-9*f(x)+8 egf] A234312 14.2949 [-(10*x^4+4*x)/(2*x^5+2*x^2-1) lgdogf] A234312 22.0219 [-1/(2*x^5+2*x^2-1) ogf] A234312 8.95398 [f(x)*(f(x)-1)*(2*f(x)*x^5+2*f(x)*x^2-f(x)+1) ogf] A234319 5.02506 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=0,a(1)=3,a(2)=25,a(3)=-3,a(4)=-4} ogf] A234319 5.18982 [(4247370*f(x)-208306259)*(-27*x^4+f(x)*x^2+50*x^3-2*f(x)*x-19*x^2+f(x)-3*x) ogf] A234319 9.31115 [x*(27*x^3-50*x^2+19*x+3)/(x-1)^2 ogf] A234326 4.99274 [(543*f(x)-8392)*(48*f(x)*x^4-32*f(x)*x^2+768*x^3+192*x^2+f(x)-432*x-80) ogf] A234326 7.75900 [-16*(48*x^3+12*x^2-27*x-5)/(48*x^4-32*x^2+1) ogf] A234355 5.37032 [-(3*x^17-7*x^16+8*x^15+9*x^14+5*x^12+4*x^11+7*x^10+2*x^9+6*x^8+8*x^7+6*x^6+5*x^5+x^4+2*x^3+9*x^2+7)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A234381 3.65274 [-24*(259584*x^5+247936*x^4-20208*x^3-18336*x^2-350*x-691)/(9216*x^6+8448*x^5-1056*x^4-624*x^3+12*x^2-24*x+1) ogf] A234414 3.76342 [-2*(264*x^6+1200*x^5+1212*x^4-714*x^3-711*x^2+414*x-53)/(24*x^7+108*x^6+96*x^5-90*x^4-57*x^3+54*x^2-13*x+1) ogf] A234429 10.5795 [(2*x^4-x^3-x^2-x+4)/(x-1)^2 ogf] A234429 5.70299 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=4,a(1)=7,a(2)=9,a(3)=10,a(4)=13} ogf] A234429 7.36982 [(276*f(x)+10807)*(-2*x^4+f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)+x-4) ogf] A234429 9.12479 [-(4*x^4-9*x^3+3*x^2+3*x-7)/(-2*x^5+3*x^4-5*x+4) lgdogf] A234436 13.8066 [-8*(15*x+4)/(14*x^2-1) ogf] A234436 8.39594 [(14*f(x)-223)*(14*f(x)*x^2-f(x)+120*x+32) ogf] A234436 8.51095 [-(210*x^2+112*x+15)/(210*x^3+56*x^2-15*x-4) lgdogf] A234436 9.13675 [{a(n+2)-14*a(n),a(0)=32,a(1)=120} ogf] A234437 4.31395 [-2*(420*x^5-946*x^4-644*x^3+1493*x^2+9*x-60)/(2*x^2-5*x+1)/(16*x^4-26*x^2+1) ogf] A234444 4.29305 [(14730202636*f(x)-644995208747)*(344*f(x)*x^4-60*f(x)*x^2+8480*x^3+1536*x^2+f(x)-1120*x-160) ogf] A234444 7.39057 [-32*(265*x^3+48*x^2-35*x-5)/(344*x^4-60*x^2+1) ogf] A234452 4.90927 [-8*(6480*x^5+1080*x^4-5880*x^3-832*x^2+300*x+35)/(1440*x^6-1384*x^4+100*x^2-1) ogf] A234466 21.2552 [-x*(x-1)^7 revogf] A234467 13.7211 [512*x/(1+(4*x+1)^(1/2))^9 revogf] A234483 4.73592 [(20507*f(x)-363168)*(12*f(x)*x^3+9*f(x)*x^2-7*f(x)*x+192*x^2+f(x)+192*x-62) ogf] A234483 5.05700 [{-a(n+3)+7*a(n+2)-9*a(n+1)-12*a(n),a(0)=62,a(1)=242,a(2)=944} ogf] A234483 8.90636 [-2*(96*x^2+96*x-31)/(4*x-1)/(3*x^2+3*x-1) ogf] A234484 5.67762 [-2*(768*x^4+1920*x^3+528*x^2-747*x+121)/(4*x-1)/(2*x^2+3*x-1)/(3*x^2+3*x-1) ogf] A234491 5.08903 [-2*(14760*x^4-15072*x^3-7103*x^2+292*x+125)/(56*x^2-1)/(15*x^3-18*x^2-5*x+1) ogf] A234513 22.1939 [x*(x-1)^8 revogf] A234543 5.46280 [-4*(2160*x^4-1822*x^2-9*x+52)/(6*x-1)/(40*x^4-34*x^2+1) ogf] A234550 5.01635 [-4*(131040*x^5+16560*x^4-41684*x^3-5516*x^2+679*x+90)/(60*x^2-1)/(180*x^4-58*x^2+1) ogf] A234557 5.94864 [-2*(3000*x^4-40*x^3-651*x^2+5*x+35)/(3*x-1)/(8*x^2-1)/(10*x^2-1) ogf] A234573 22.7274 [-x*(x-1)^9 revogf] A234576 5.00316 [-(437629*f(x)-105534)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+x^3+f(x)*x+3*x^2-f(x)+3*x+4) ogf] A234576 9.81140 [-(x^3+3*x^2+3*x+4)/(x^4+3*x^3+x^2+x-1) ogf] A234589 13.5039 [-(x^7+x^6+1)/(x^8+x^7-x^6+2*x-1) ogf] A234589 7.58298 [-(-x^14-2*x^13-2*x^12+4*x^7-4*x^6-2)/(-x^15-2*x^14+x^12-3*x^8-2*x^7+2*x^6-2*x+1) lgdogf] A234590 10.8206 [-(x^2+x+1)*(x^6-x^4+x^3-x+1)/(x^9+x^8-x^7+2*x-1) ogf] A234591 10.6744 [-(x^9+x^8+1)/(x^10+x^9-x^8+2*x-1) ogf] A234592 10.3935 [-(x^10+x^9+1)/(x^11+x^10-x^9+2*x-1) ogf] A234597 10.2574 [-(x^3+5*x^2+6*x+5)/(x^4+3*x^3+x^2+x-1) ogf] A234597 5.1622 [-(2387813*f(x)-1027862)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+x^3+f(x)*x+5*x^2-f(x)+6*x+5) ogf] A234598 4.66069 [(64438652*f(x)-43273715)*(f(x)*x^4+3*f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x+8*x^2-f(x)+9*x+9) ogf] A234598 9.13982 [-(x+3)*(2*x^2+2*x+3)/(x^4+3*x^3+x^2+x-1) ogf] A234617 7.54227 [-(24*x^4-38*x^3+49*x^2-32*x+6)/(4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A234651 5.33450 [-8*(8640*x^4-240*x^3-836*x^2+11*x+20)/(4*x-1)/(20*x^2-1)/(24*x^2-1) ogf] A234659 4.69685 [-2*(30870*x^4+30765*x^3-6987*x^2-729*x+149)/(6*x-1)/(42*x^2-1)/(5*x^2+5*x-1) ogf] A234667 3.63409 [-12*(53760*x^6+26880*x^5-35486*x^4-15610*x^3+3013*x^2+256*x-41)/(8*x-1)/(12*x^2+6*x-1)/(105*x^4-61*x^2+1) ogf] A234674 5.15174 [(6553*f(x)-3307592)*(120*f(x)*x^4-22*f(x)*x^2+4320*x^3+1200*x^2+f(x)-404*x-112) ogf] A234674 8.12388 [-4*(1080*x^3+300*x^2-101*x-28)/(12*x^2-1)/(10*x^2-1) ogf] A234683 4.80925 [-4*(164640*x^5+33600*x^4-13828*x^3-2808*x^2+287*x+58)/(28*x^2-1)/(20*x^2-1)/(24*x^2-1) ogf] A234697 4.90634 [-12*(64512*x^4-672*x^3-2970*x^2+15*x+34)/(6*x-1)/(48*x^2-1)/(42*x^2-1) ogf] A234705 3.16241 [-2*(3440640*x^6-43008*x^5-374080*x^4+3232*x^3+13480*x^2-60*x-161)/(5*x-1)/(28*x^2-1)/(32*x^2-1)/(24*x^2-1) ogf] A234717 11.1517 [-(2*x^2+5*x+1)/(x+1)/(x-1)^3 ogf] A234717 5.39886 [-(148864*f(x)-1260015)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+5*x+1) ogf] A234717 8.29580 [-(-4*x^3-19*x^2-18*x-7)/(-2*x^4-5*x^3+x^2+5*x+1) lgdogf] A234721 3.76339 [-8*(645120*x^7+141120*x^6-116084*x^5-25400*x^4+6926*x^3+1516*x^2-137*x-30)/(4*x-1)/(4*x+1)/(14*x^2-1)/(20*x^2-1)/(18*x^2-1) ogf] A234731 4.62401 [-24*(11760*x^6-3090*x^4+259*x^2-7)/(4*x-1)/(12*x^2-1)/(15*x^2-1)/(7*x^2-1) ogf] A234753 4.49567 [-2*(8*x^5+33*x^4-57*x^3-122*x^2+67*x+55)/(x^6+4*x^5-8*x^4-16*x^3+10*x^2+8*x-1) ogf] A234762 5.71210 [-4*(39*x^4+105*x^3+27*x^2-46*x-14)/(10*x^5+25*x^4+x^3-14*x^2-x+1) ogf] A234770 4.84110 [-2*(513*x^5-49*x^4-713*x^3-123*x^2+183*x+44)/(46*x^6-10*x^5-67*x^4-x^3+21*x^2+x-1) ogf] A234779 12.7801 [-4*(12*x-19)/(4*x^2-7*x+1) ogf] A234779 6.25693 [-(695*f(x)+5744)*(4*f(x)*x^2-7*f(x)*x+f(x)+48*x-76) ogf] A234779 7.06666 [{a(n+2)-7*a(n+1)+4*a(n),a(0)=76,a(1)=484} ogf] A234779 8.00888 [-(-48*x^2+152*x-121)/(-48*x^3+160*x^2-145*x+19) lgdogf] A234780 3.38506 [-(187826424899*f(x)+2840585836280)*(10*f(x)*x^3-31*f(x)*x^2+16*f(x)*x+360*x^2-f(x)-1084*x+484) ogf] A234780 4.04023 [{-a(n+3)+16*a(n+2)-31*a(n+1)+10*a(n),a(0)=484,a(1)=6660,a(2)=91916} ogf] A234780 7.05618 [-4*(90*x^2-271*x+121)/(10*x^3-31*x^2+16*x-1) ogf] A234787 4.21468 [-1000*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A234789 3.8977 [(882610881*f(x)+11985669620)*(20*f(x)*x^3-36*f(x)*x^2+15*f(x)*x+320*x^2-f(x)-556*x+204) ogf] A234789 4.33776 [{a(n+3)-15*a(n+2)+36*a(n+1)-20*a(n),a(0)=204,a(1)=2504,a(2)=30536} ogf] A234789 7.68403 [-4*(80*x^2-139*x+51)/(2*x-1)/(10*x^2-13*x+1) ogf] A234790 3.91245 [-8*(320*x^5-1659*x^4+8422*x^3-11300*x^2+3702*x-313)/(40*x^6-208*x^5+1056*x^4-1429*x^3+485*x^2-47*x+1) ogf] A234797 6.20827 [2/7*7^(1/2)*arctan(1/7*(4*x+1)*7^(1/2))-2/7*7^(1/2)*arctan(1/7*7^(1/2)) revegf] A234816 3.83875 [-2*(246960*x^6-1260*x^5-51948*x^4+189*x^3+3626*x^2-7*x-84)/(4*x-1)/(12*x^2-1)/(15*x^2-1)/(14*x^2-1) ogf] A234825 4.98468 [(887233*f(x)+2703852)*(3*f(x)*x^3-12*f(x)*x^2+9*f(x)*x+27*x^2-f(x)-105*x+69) ogf] A234825 5.31979 [{a(n+3)-9*a(n+2)+12*a(n+1)-3*a(n),a(0)=69,a(1)=516,a(2)=3843} ogf] A234825 9.59174 [-3*(9*x^2-35*x+23)/(3*x^3-12*x^2+9*x-1) ogf] A234826 2.94877 [(479629980272881*f(x)+1425423635650845)*(9*f(x)*x^4-93*f(x)*x^3+102*f(x)*x^2+243*x^3-23*f(x)*x-2502*x^2+f(x)+2661*x-516) ogf] A234826 5.83273 [-3*(81*x^3-834*x^2+887*x-172)/(9*x^4-93*x^3+102*x^2-23*x+1) ogf] A234833 10.0715 [-(24*x-1)/(192*x^2-68*x+1) ogf] A234833 5.14066 [-(163*f(x)-42)*(192*f(x)*x^2-68*f(x)*x+f(x)+24*x-1) ogf] A234833 5.73842 [{a(n+2)-68*a(n+1)+192*a(n),a(0)=1,a(1)=44} ogf] A234833 6.40914 [-(-4608*x^2+384*x-44)/(-4608*x^3+1824*x^2-92*x+1) lgdogf] A234839 7.93613 [-32*f(x)^3*x^2-13*f(x)^3*x-4*f(x)^3+4*f(x)*x+3*f(x)+1 ogf] A234875 5.80263 [-(100*f(x)+141451)*(4*f(x)*x^4-5*f(x)*x^2+72*x^3+32*x^2+f(x)-68*x-32) ogf] A234875 9.75513 [-4*(18*x^3+8*x^2-17*x-8)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A234876 3.80425 [-4*(231*x^8+110*x^7-671*x^6-104*x^5+583*x^4+10*x^3-177*x^2+3*x+17)/(x-1)/(x^2+x-1)/(22*x^6-29*x^4+10*x^2-1) ogf] A234883 5.91199 [-8*(73*x^5+21*x^4-114*x^3-33*x^2+34*x+10)/(21*x^6-37*x^4+14*x^2-1) ogf] A234902 10.1538 [(7*x^4+4*x^3+4*x^2+7*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A234903 13.9190 [(4*x^4+7*x^3+2*x^2+7*x+4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A234904 11.2230 [-(4*x^4+11*x^3+9*x^2+8*x+4)/(2*x^5+3*x^4+x^3-2*x^2-3*x-1) lgdogf] A234904 17.8464 [3*(x+1)*(2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A234904 6.44160 [{(-6*n-23)*a(n+1)-6*a(n+2)-6*a(n+3)+(6*n+17)*a(n+4),a(0)=3,a(1)=12,a(2)=18,a(3)=21} ogf] A234904 9.07194 [-(192*f(x)-3641)*(f(x)*x^4-f(x)*x^3-f(x)*x-6*x^2+f(x)-9*x-3) ogf] A234914 4.26427 [-(683*f(x)+6700)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+16*x^3+4*f(x)*x-24*x^2-f(x)-40*x+40) ogf] A234914 7.89679 [-8*(2*x^3-3*x^2-5*x+5)/(x-1)/(x^3-x^2-3*x+1) ogf] A234927 6.14170 [2*(4*x^8+8*x^7-4*x^6-78*x^5-68*x^4-32*x^3-69*x^2-44*x-28)/(4*x^6+2*x^3-1) ogf] A234933 11.3744 [-(8*x^3-3*x^2-8*x+4)/(2*x^4-x^3-4*x^2+4*x-1) lgdogf] A234933 17.1689 [-2*x^4/(2*x-1)/(x-1)/(x^2+x-1) ogf] A234933 7.77736 [-f(x)*(2*f(x)*x^4-f(x)*x^3+2*x^4-4*f(x)*x^2+4*f(x)*x-f(x)) ogf] A234975 3.65878 [-2*(1197*x^6+2943*x^5-5523*x^4-479*x^3+1461*x^2-13*x-91)/(96*x^7+224*x^6-480*x^5-x^4+134*x^3-13*x^2-9*x+1) ogf] A234984 3.64698 [-2*(60*x^7+324*x^6-346*x^5-916*x^4-52*x^3+375*x^2+40*x-45)/(2*x^2-1)/(2*x^6+10*x^5-16*x^4-23*x^3+4*x^2+5*x-1) ogf] A235011 6.37586 [-8*(104*x^4+26*x^3-75*x^2-11*x+13)/(2*x-1)/(2*x^2-1)/(4*x^2+x-1) ogf] A235012 3.96612 [-8*(944*x^7-584*x^6-1224*x^5+676*x^4+517*x^3-259*x^2-71*x+33)/(2*x-1)/(x-1)/(2*x^2-1)/(3*x^2-1)/(4*x^2+x-1) ogf] A235019 6.30096 [-4*(192*x^5+48*x^4-318*x^3-84*x^2+83*x+22)/(32*x^6-56*x^4+18*x^2-1) ogf] A235049 6.29565 [x^2*(10*x^18-8*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A235080 4.35851 [(15465*f(x)-95038)*(5*f(x)*x^4+10*f(x)*x^3-6*f(x)*x^2+86*x^3-2*f(x)*x+206*x^2+f(x)-14*x-38) ogf] A235080 7.92935 [-2*(43*x^3+103*x^2-7*x-19)/(5*x^2-1)/(x^2+2*x-1) ogf] A235088 15.6854 [-(-10*x^3-10*x^2-22*x-6)/(-5*x^4+2*x^2+3) lgdogf] A235088 19.5379 [-(5*x^2+3)/(x+1)/(x-1)^3 ogf] A235088 9.76896 [(5040*f(x)-26263)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+5*x^2-f(x)+3) ogf] A235089 15.7519 [-(-14*x^2-16*x-10)/(-7*x^3-3*x^2+7*x+3) lgdogf] A235089 19.9128 [(7*x+3)/(x+1)/(x-1)^2 ogf] A235089 9.25772 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=10,a(2)=13} ogf] A235089 9.59434 [(1580*f(x)+35963)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-7*x-3) ogf] A235091 6.09350 [-4*(501*x^4-13*x^3-250*x^2+4*x+20)/(3*x-1)/(26*x^4-13*x^2+1) ogf] A235100 4.69409 [-2*(648*x^5+1656*x^4+428*x^3-741*x^2-204*x+77)/(6*x^2+3*x-1)/(6*x^4+11*x^3-4*x^2-4*x+1) ogf] A235115 10.1548 [{a(n+2)-9*a(n+1)+20*a(n),a(0)=5,a(1)=24} ogf] A235115 11.5271 [-(-420*x^2+200*x-24)/(-420*x^3+289*x^2-66*x+5) lgdogf] A235115 18.1490 [-(21*x-5)/(5*x-1)/(4*x-1) ogf] A235115 9.27176 [-(f(x)+31)*(20*f(x)*x^2-9*f(x)*x+f(x)+21*x-5) ogf] A235118 14.6978 [-(4*x+1)/(64*x^2+20*x-1) ogf] A235118 7.42794 [-(325*f(x)-1)*(64*f(x)*x^2+20*f(x)*x-f(x)+4*x+1) ogf] A235118 8.12704 [{a(n+2)-20*a(n+1)-64*a(n),a(0)=1,a(1)=24} ogf] A235118 9.33511 [-(-256*x^2-128*x-24)/(-256*x^3-144*x^2-16*x+1) lgdogf] A235136 3.39448 [{(-2*n^2-9*n-10)*a(n+1)+(-2*n^2-15*n-28)*a(n+2)+(n+2)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=5} ogf] A235163 7.96495 [-(3*x^4-18*x^3-9*x^2+28*x-9)/(x^5-6*x^4-x^3+10*x^2-6*x+1) ogf] A235179 6.44778 [-4*(95*x^5+30*x^4-424*x^3-144*x^2+53*x+18)/(7*x^2-1)/(2*x^4-9*x^2+1) ogf] A235191 5.45819 [-8*(2188*x^5+574*x^4-1036*x^3-275*x^2+64*x+17)/(13*x^2-1)/(36*x^4-17*x^2+1) ogf] A235202 3.77272 [(869*x^15+x^14+9*x^13+x^12+9*x^11+x^10+9*x^9+x^8+69*x^7+x^6+9*x^5+x^4+9*x^3+x^2+9*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A235205 4.22181 [-4*(4784*x^5+2754*x^4-2714*x^3-1555*x^2+113*x+60)/(8*x^2+3*x-1)/(48*x^4-27*x^2+1) ogf] A235216 3.90138 [(6560354359*f(x)-14510651985)*(2*f(x)*x^4+6*f(x)*x^3-9*f(x)*x^2+18*x^3-6*f(x)*x+56*x^2+f(x)-73*x-59) ogf] A235216 7.70643 [-(18*x^3+56*x^2-73*x-59)/(2*x^4+6*x^3-9*x^2-6*x+1) ogf] A235224 13.3631 [-x*(x^29+x^5+x+1)/(x-1) ogf] A235232 3.66279 [-4*(528*x^7+933*x^6-2151*x^5-3816*x^4+358*x^3+673*x^2-15*x-30)/(3*x-1)/(3*x+1)/(2*x^2+3*x-1)/(3*x^4-12*x^2+1) ogf] A235241 3.24128 [-2*(20036*x^7+84602*x^6-10791*x^5-43251*x^4+1124*x^3+4034*x^2-33*x-105)/(17*x^2-1)/(x^2+4*x-1)/(46*x^4-21*x^2+1) ogf] A235251 3.40854 [-4*(3504*x^9+816*x^8-23009*x^7-5530*x^6+38712*x^5+9578*x^4-5293*x^3-1310*x^2+186*x+46)/(11*x^2-1)/(6*x^4-17*x^2+1)/(4*x^4-15*x^2+1) ogf] A235269 6.71973 [x*(x^9-2*x^8+x^7-2*x^6-x^4-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A235271 5.76432 [-(23*f(x)-100)*(24*f(x)*x^4-10*f(x)*x^2+480*x^3+192*x^2+f(x)-100*x-40) ogf] A235271 9.11388 [-4*(5*x+2)*(24*x^2-5)/(2*x+1)/(2*x-1)/(6*x^2-1) ogf] A235272 3.49202 [-4*(2160*x^8-1008*x^7-3078*x^6+966*x^5+1559*x^4-289*x^3-332*x^2+27*x+25)/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A235273 3.48964 [-4*(5040*x^8-1872*x^7-7062*x^6+1698*x^5+3481*x^4-483*x^3-717*x^2+43*x+52)/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A235274 3.47094 [-4*(13824*x^8-4032*x^7-19026*x^6+3486*x^5+9167*x^4-949*x^3-1841*x^2+81*x+130)/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A235275 3.45070 [-4*(31824*x^8-7344*x^7-43086*x^6+6138*x^5+20405*x^4-1623*x^3-4029*x^2+135*x+280)/(2*x-1)/(2*x+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A235282 12.1060 [-4*(18*x^2-5)/(2*x-1)/(3*x^2-1) ogf] A235282 6.05298 [-(11*f(x)-12664)*(6*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+72*x^2+f(x)-20) ogf] A235282 6.21089 [{a(n+3)-2*a(n+2)-3*a(n+1)+6*a(n),a(0)=20,a(1)=40,a(2)=68} ogf] A235282 7.28829 [-(-108*x^4+54*x^2+6*x-10)/(-108*x^5+54*x^4+66*x^3-33*x^2-10*x+5) lgdogf] A235283 5.88240 [-4*(84*x^5-72*x^4-68*x^3+55*x^2+13*x-10)/(3*x^2-1)/(2*x^2-1)/(2*x-1)/(x-1) ogf] A235284 5.88989 [-4*(156*x^5-120*x^4-128*x^3+92*x^2+25*x-17)/(3*x^2-1)/(2*x^2-1)/(2*x-1)/(x-1) ogf] A235285 5.77664 [-4*(336*x^5-234*x^4-278*x^3+181*x^2+55*x-34)/(3*x^2-1)/(2*x^2-1)/(2*x-1)/(x-1) ogf] A235286 5.71295 [-4*(612*x^5-396*x^4-508*x^3+310*x^2+101*x-59)/(3*x^2-1)/(2*x^2-1)/(2*x-1)/(x-1) ogf] A235287 5.76609 [-4*(1272*x^5-774*x^4-1058*x^3+613*x^2+211*x-118)/(3*x^2-1)/(2*x^2-1)/(2*x-1)/(x-1) ogf] A235288 5.45555 [-4*(2316*x^5-1344*x^4-1928*x^3+1076*x^2+385*x-209)/(3*x^2-1)/(2*x^2-1)/(2*x-1)/(x-1) ogf] A235291 5.46402 [(43*f(x)-1282)*(48*f(x)*x^4-14*f(x)*x^2+768*x^3+288*x^2+f(x)-108*x-40) ogf] A235291 8.41754 [-4*(192*x^3+72*x^2-27*x-10)/(6*x^2-1)/(8*x^2-1) ogf] A235303 7.10789 [-2*(1800*x^4-511*x^2+35)/(3*x-1)/(8*x^2-1)/(5*x^2-1) ogf] A235312 5.65298 [-8*(7*x+2)*(540*x^4-126*x^2+7)/(12*x^2-1)/(6*x^2-1)/(10*x^2-1) ogf] A235332 12.6051 [-(-2*x^2+6*x+23)/(-2*x^3+7*x^2+x-6) lgdogf] A235332 13.4316 [(2*x^2-5*x-6)/(x-1)^3 ogf] A235332 6.82774 [(65367*f(x)-727537)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+5*x+6) ogf] A235332 7.18710 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=23,a(2)=49} ogf] A235340 20.1256 [x*(x-1)^10 revogf] A235347 11.3229 [-1+f(x)+f(x)^2*x-3*f(x)^3*x ogf] A235348 11.7975 [-(5*x^3+2*x^2-x)/(-x^2+1) revogf] A235348 8.58002 [-5*f(x)^3*x^2+f(x)^2*x^2-2*f(x)^2*x+f(x)-1 ogf] A235349 11.7166 [-(2*x^3+x^2-x)/(-x+1) revogf] A235349 8.82991 [-2*f(x)^3-f(x)^2+f(x)*x+f(x)-x ogf] A235350 13.1019 [-(-x^3-2*x^2+x)/(x^2-1) revogf] A235350 9.52864 [f(x)^3*x^2-f(x)^2*x^2+2*f(x)^2*x-f(x)+1 ogf] A235351 12.7050 [-(2*x^3+3*x^2-x)/(-x+1) revogf] A235351 8.58002 [-2*f(x)^3*x^2-3*f(x)^2*x+f(x)*x+f(x)-1 ogf] A235352 11.3229 [-1+f(x)-f(x)^2*x+3*f(x)^3*x ogf] A235355 24.9676 [-x^3-x^2+4*x+2 ogf_with_Euler_transform] A235355 7.33130 [x*(x^2+1)*(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A235361 5.40246 [(x^13-2*x^12+x^11-4*x^8+7*x^7-2*x^6-x^5-3*x^4-2*x^3-x^2+x-9)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A235367 7.99992 [-2*x*(3*x^4+4*x^3+10*x^2+4*x+3)/(x+1)^3/(x-1)^5 ogf] A235367 8.29083 [-(12*x^5+26*x^4+80*x^3+60*x^2+52*x+10)/(3*x^6+4*x^5+7*x^4-7*x^2-4*x-3) lgdogf] A235385 20.9919 [(ln(x-1)+ln(x+1)-I*Pi)/(x+1)/x^2/(x-1) lgdegf] A235385 8.35467 [(ln(x-1)+ln(x+1)-I*Pi)/(x+1)/x^2/(x-1) lgdegf] A235391 5.71111 [-f(x)^2*x^3+4*f(x)^2*x^2-5*f(x)^2*x-4*f(x)*x^2+f(x)^2+9*f(x)*x-2*f(x)-4*x+1 ogf] A235399 10.8690 [(x^4+6*x^3-7*x^2+x+8)/(x+1)/(x-1)^2 ogf] A235399 6.15376 [-(637*f(x)-3467)*(f(x)*x^3-x^4-f(x)*x^2-6*x^3-f(x)*x+7*x^2+f(x)-x-8) ogf] A235432 4.34252 [-(216*x^6-48*x^5-800*x^4+38*x^3+596*x^2+65*x-81)/(x-1)/(6*x^3-8*x^2-5*x+1)/(4*x^3+8*x^2+2*x-1) ogf] A235443 4.35265 [-2*(8*x^6+5*x^5-56*x^4-56*x^3+58*x^2+41*x-29)/(2*x^3-3*x^2-6*x+1)/(x^2+x-1)^2 ogf] A235451 11.1942 [(3*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A235497 12.5913 [-3*(540*x^10-600*x^9-7)/(x-1)^2 ogf] A235497 7.86954 [-(-4320*x^10+9600*x^9-5400*x^8-14)/(540*x^11-1140*x^10+600*x^9-7*x+7) lgdogf] A235498 7.15535 [x*(x^2+1)*(x^6+x^5+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A235499 10.6679 [x*(x^4+6*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A235510 7.38822 [-(8*x^4+6*x^3-23*x^2-6*x+16)/(x+1)/(2*x^2+3*x-1)/(x-1)^2 ogf] A235534 3.39363 [{(-2916*n^4-17496*n^3-38961*n^2-38151*n-13860)*a(n+1)+(64*n^4+480*n^3+1340*n^2+1650*n+756)*a(n+2),a(0)=1,a(1)=3} ogf] A235537 8.81870 [-(6*x^4-8*x^3-8*x^2+13*x+6)/(x+1)^2/(x-1)^3 ogf] A235541 5.17159 [-(32*x^6+24*x^5-68*x^4-38*x^3+51*x^2+16*x-16)/(x-1)/(x+1)^3/(2*x-1)^3 ogf] A235549 7.11098 [-2*(18*x^4-4*x^3-18*x^2+7*x+8)/(2*x-1)/(2*x^2-1)^2 ogf] A235566 4.32064 [(6935*f(x)-44896)*(8*f(x)*x^4-10*f(x)*x^3-f(x)*x^2+32*x^3+4*f(x)*x-40*x^2-f(x)-14*x+16) ogf] A235566 7.85093 [-2*(16*x^3-20*x^2-7*x+8)/(2*x-1)/(x-1)/(4*x^2+x-1) ogf] A235593 12.4127 [-(4*x^3+18*x^2+6*x+7)/(x^4+2*x^3-3*x^2+x-1) lgdogf] A235593 5.37663 [{(20*n^2+86*n+92)*a(n+1)+(-25*n^2+41*n+208)*a(n+2)+(5*n^2-37*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A235593 9.57552 [-x^3*(x^3+3*x^2+1)/(x-1)^7 ogf] A235594 6.12216 [-(x^4+6*x^3+5*x+2)/(x-1)^9 ogf] A235594 7.65270 [-(-5*x^4-40*x^3-18*x^2-40*x-23)/(-x^5-5*x^4+6*x^3-5*x^2+3*x+2) lgdogf] A235643 10.2127 [-(-49*x^2+56*x-17)/(-49*x^3+70*x^2-31*x+4) lgdogf] A235643 15.2105 [-4*(7*x-4)/(7*x^2-6*x+1) ogf] A235643 7.60524 [-(23*f(x)+210)*(7*f(x)*x^2-6*f(x)*x+f(x)+28*x-16) ogf] A235643 8.51062 [{a(n+2)-6*a(n+1)+7*a(n),a(0)=16,a(1)=68} ogf] A235653 4.69419 [(97*f(x)+318)*(4*f(x)*x^4-8*f(x)*x^3-f(x)*x^2+16*x^3+4*f(x)*x-32*x^2-f(x)-12*x+16) ogf] A235653 8.34525 [-4*(4*x^3-8*x^2-3*x+4)/(2*x-1)/(2*x^3-3*x^2-2*x+1) ogf] A235673 5.17816 [-2*(8*x^5-11*x^4-42*x^3+31*x^2+42*x-29)/(x-1)/(x^2+x-1)/(2*x^3-3*x^2-6*x+1) ogf] A235684 7.29854 [-(x-1)*(x^2+x+1)*(x^6+x^3+1)/(x^15+x^12+x^11+x^10-2*x^9-x^6-x^3-x^2-x+1) ogf] A235698 6.12587 [x*(x^35-5*x^25-2*x^24+3*x^22-2*x^21+3*x^20+2*x^19-4*x^18+3*x^17-2*x^16+x^15+x^12+x^8-6*x^4+4*x^3+2*x^2+x+1)/(x-1)^2 ogf] A235699 10.4921 [-(5*x^5+11*x^4-2*x^3+18*x^2+5*x+3)/(5*x^6-2*x^5+3*x^4-2*x^3-3*x^2-1) lgdogf] A235699 14.2485 [x*(5*x^3+3*x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A235699 6.17182 [{(-5*n-4)*a(n)+(5*n-1)*a(n+1)+(-5*n-4)*a(n+2)+(5*n-1)*a(n+3),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A235699 8.18534 [(5*f(x)+3)*(f(x)*x^4-2*f(x)*x^3-5*x^4+2*f(x)*x^2-3*x^3-2*f(x)*x-x^2+f(x)-x) ogf] A235700 11.9567 [-(2*x^5+6*x^4-2*x^3+10*x^2+2*x+2)/(2*x^6+x^3-3*x^2+x-1) lgdogf] A235700 15.8877 [(2*x^3+2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A235700 5.91735 [{(-n-3)*a(n+1)+(n+2)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A235700 8.99067 [-f(x)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A235701 7.91632 [-(x^3+2*x^2-x-1)^2/(7*x^6-14*x^4+7*x^2-1) ogf] A235702 15.6775 [-5*f(x)*x+f(x)-19*x-1 ogf] A235702 18.4914 [24/(-95*x^2+14*x+1) lgdogf] A235702 18.9780 [-(1+19*x)/(5*x-1) ogf] A235702 9.87895 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=24} ogf] A235789 8.28508 [-x*(4*x^4-4*x^3+2*x^2-2*x+1)/(2*x^2-1)/(2*x^2+1)^2 ogf] A235800 13.9359 [(x^2+x+3)/(x-1)^2/(x+1)^2 ogf] A235800 7.63795 [-(7770*f(x)+20417)*(f(x)*x^4-2*f(x)*x^2-x^2+f(x)-x-3) ogf] A235800 9.80674 [-(2*x^3+3*x^2+14*x+1)/(x^4+x^3+2*x^2-x-3) lgdogf] A235801 6.37273 [x*(x^2+1)*(x^3+2*x^2+1)*(x^5+x^4+2*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A235802 18.7969 [(-2*ln(x-1)-2/(x-1)+2+2*I*Pi)/(x-2)^2 lgdegf] A235843 4.58827 [-4*(768*x^4+848*x^3-278*x^2-150*x+39)/(192*x^5+192*x^4-94*x^3-31*x^2+14*x-1) ogf] A235850 5.59709 [-4*(512*x^4-720*x^3-138*x^2+122*x+25)/(128*x^5-200*x^4-10*x^3+37*x^2+2*x-1) ogf] A235876 3.03340 [-3*(24*x^3-46*x^2+35*x-7)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A235877 14.3137 [-3*(18*x-7)/(3*x-1)/(2*x-1) ogf] A235877 7.23382 [-(f(x)+846)*(6*f(x)*x^2-5*f(x)*x+f(x)+54*x-21) ogf] A235877 8.00888 [{a(n+2)-5*a(n+1)+6*a(n),a(0)=21,a(1)=51} ogf] A235877 9.21570 [-(-108*x^2+84*x-17)/(-108*x^3+132*x^2-53*x+7) lgdogf] A235878 10.1371 [-3*(54*x^2-67*x+17)/(2*x-1)/(3*x-1)/(x-1) ogf] A235878 5.43346 [-(23*f(x)+1179)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+162*x^2-f(x)-201*x+51) ogf] A235878 5.75580 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=51,a(1)=105,a(2)=231} ogf] A235879 4.86487 [-(2126*f(x)-450531)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+486*x^2-f(x)-543*x+129) ogf] A235879 5.31455 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=129,a(1)=231,a(2)=453} ogf] A235879 9.30047 [-3*(162*x^2-181*x+43)/(2*x-1)/(3*x-1)/(x-1) ogf] A235880 4.80292 [-(4937*f(x)-4258611)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+1458*x^2-f(x)-1497*x+339) ogf] A235880 5.36797 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=339,a(1)=537,a(2)=951} ogf] A235880 9.12554 [-3*(486*x^2-499*x+113)/(2*x-1)/(3*x-1)/(x-1) ogf] A235881 4.80239 [-(40138*f(x)-82371873)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+4374*x^2-f(x)-4215*x+921) ogf] A235881 5.35803 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=921,a(1)=1311,a(2)=2109} ogf] A235881 9.26174 [-3*(1458*x^2-1405*x+307)/(2*x-1)/(3*x-1)/(x-1) ogf] A235882 4.33632 [-(723121*f(x)-3692766507)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+13122*x^2-f(x)-12081*x+2571) ogf] A235882 5.01165 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=2571,a(1)=3345,a(2)=4911} ogf] A235882 8.37563 [-3*(4374*x^2-4027*x+857)/(2*x-1)/(3*x-1)/(x-1) ogf] A235883 4.13221 [-(13370445806*f(x)-179109461635731)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+39366*x^2-f(x)-35103*x+7329) ogf] A235883 5.07287 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=7329,a(1)=8871,a(2)=11973} ogf] A235883 8.54744 [-3*(13122*x^2-11701*x+2443)/(2*x-1)/(3*x-1)/(x-1) ogf] A235885 3.17305 [-8*(4*x^2-6*x+5)/(x-1)/(2*x-1)/(4*x-1) ogf] A235886 13.1369 [-8*(16*x-5)/(4*x-1)/(2*x-1) ogf] A235886 6.43442 [-(115*f(x)+14608)*(8*f(x)*x^2-6*f(x)*x+f(x)+128*x-40) ogf] A235886 7.41849 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=40,a(1)=112} ogf] A235886 8.63797 [-(-128*x^2+80*x-14)/(-128*x^3+136*x^2-46*x+5) lgdogf] A235887 4.87434 [-(1419*f(x)+265952)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+512*x^2-f(x)-552*x+112) ogf] A235887 5.32490 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=112,a(1)=232,a(2)=568} ogf] A235887 9.31857 [-8*(64*x^2-69*x+14)/(x-1)/(2*x-1)/(4*x-1) ogf] A235888 4.78763 [-(1563*f(x)+1352288)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2048*x^2-f(x)-1896*x+352) ogf] A235888 5.30628 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=352,a(1)=568,a(2)=1096} ogf] A235888 9.09649 [-8*(256*x^2-237*x+44)/(x-1)/(2*x-1)/(4*x-1) ogf] A235889 4.75021 [-(27555*f(x)-40345504)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+8192*x^2-f(x)-6888*x+1216) ogf] A235889 5.29530 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=1216,a(1)=1624,a(2)=2536} ogf] A235889 9.09897 [-8*(1024*x^2-861*x+152)/(x-1)/(2*x-1)/(4*x-1) ogf] A235890 4.6256 [-(617811*f(x)-3941570464)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+32768*x^2-f(x)-26088*x+4480) ogf] A235890 5.34598 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=4480,a(1)=5272,a(2)=6952} ogf] A235890 8.93437 [-8*(4096*x^2-3261*x+560)/(x-1)/(2*x-1)/(4*x-1) ogf] A235891 4.09365 [-(11305779*f(x)-269755930528)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+131072*x^2-f(x)-101352*x+17152) ogf] A235891 4.84687 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=17152,a(1)=18712,a(2)=21928} ogf] A235891 7.97183 [-8*(16384*x^2-12669*x+2144)/(x-1)/(2*x-1)/(4*x-1) ogf] A235892 4.05264 [-(191478003*f(x)-17514245429152)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+524288*x^2-f(x)-399336*x+67072) ogf] A235892 4.89559 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=67072,a(1)=70168,a(2)=76456} ogf] A235892 8.05196 [-8*(65536*x^2-49917*x+8384)/(x-1)/(2*x-1)/(4*x-1) ogf] A235895 5.23689 [(645*f(x)-3337)*(8*f(x)*x^3+10*f(x)*x^2-7*f(x)*x+72*x^2+f(x)+106*x-33) ogf] A235895 5.37003 [{-a(n+3)+7*a(n+2)-10*a(n+1)-8*a(n),a(0)=33,a(1)=125,a(2)=473} ogf] A235895 9.60095 [-(72*x^2+106*x-33)/(2*x^2+3*x-1)/(4*x-1) ogf] A235896 5.17906 [-(3888*x^4+5760*x^3+432*x^2-984*x+125)/(6*x-1)/(6*x^2+3*x-1)/(4*x^2+4*x-1) ogf] A235897 3.51213 [-(870912*x^6+1110848*x^5+178736*x^4-132224*x^3-11784*x^2+6668*x-473)/(6*x-1)/(2*x+1)/(8*x-1)/(14*x^2+3*x-1)/(8*x^2+6*x-1) ogf] A235904 4.48789 [-(110*f(x)+433)*(8*f(x)*x^3-20*f(x)*x^2-2*f(x)*x+72*x^2+f(x)-164*x-48) ogf] A235904 4.67646 [{-a(n+3)+2*a(n+2)+20*a(n+1)-8*a(n),a(0)=48,a(1)=260,a(2)=1408} ogf] A235904 8.43180 [-4*(18*x^2-41*x-12)/(8*x^3-20*x^2-2*x+1) ogf] A235905 4.67094 [-2*(2592*x^4+60*x^3-4808*x^2+269*x+130)/(192*x^5-24*x^4-368*x^3+58*x^2+8*x-1) ogf] A235921 12.3601 [-f(x)*x^2+2*f(x)*x-f(x)+210*x+210 ogf] A235921 16.9005 [210*(x+1)/(x-1)^2 ogf] A235921 18.8210 [-(x+3)/(x^2-1) lgdogf] A235921 39.1724 [[3-x] ogf_with_Euler_transform] A235921 9.62937 [{-a(n+2)+2*a(n+1)-a(n),a(0)=210,a(1)=630} ogf] A235926 3.98826 [-4*(256*x^5-1760*x^4+400*x^3+1304*x^2+447*x+42)/(64*x^6-448*x^5+144*x^4+320*x^3+82*x^2-1) ogf] A235944 8.26927 [-(x^11+9*x^10+7*x^9+4*x^8+4*x^7+9*x^6+4*x^5+4*x^4+7*x^3+9*x^2+x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A235947 4.94106 [-(400*x^8+1280*x^7+1756*x^6+2976*x^5+2085*x^4+1936*x^3+905*x^2+294*x+81)/(48*x^6+36*x^4+8*x^3-1) ogf] A235948 3.68147 [2*(5*x^11-62*x^10-327*x^9-622*x^8-1190*x^7-1616*x^6-792*x^5-36*x^4+889*x^3+686*x^2+361*x+147)/(6*x^8+12*x^7-10*x^4-3*x^3+1) ogf] A235949 4.47067 [-(32*x^12+48*x^11+18*x^10-96*x^9-96*x^8-232*x^7-1092*x^6-1984*x^5-1142*x^4+1780*x^3+1494*x^2+1372*x+905)/(2*x^2-1)/(2*x^2+1) ogf] A235950 4.17691 [2*(x^13+8*x^12+16*x^11-16*x^10-69*x^9-56*x^8-64*x^7+790*x^6+4132*x^5+4712*x^4-1178*x^3-890*x^2-1330*x-1292)/(5*x^4-1) ogf] A235951 4.86560 [-(288*x^12-528*x^10-862*x^8+32*x^7-652*x^6-13408*x^5-24054*x^4+3496*x^3+2478*x^2+5034*x+7353)/(2*x^2-1)/(2*x^2+1) ogf] A235952 4.50403 [4*(32*x^13-144*x^11-62*x^9-16*x^8+508*x^7+770*x^6+9585*x^5+24318*x^4-1259*x^3-876*x^2-2438*x-5200)/(5*x^4-1) ogf] A235953 4.32344 [-2*(484*x^14-1364*x^12-975*x^10+2354*x^8+24*x^7+876*x^6-29716*x^5-113162*x^4+3660*x^3+2442*x^2+9234*x+29448)/(2*x^2-1)/(2*x^2+1) ogf] A235956 3.79863 [-2*(256*x^7-704*x^6+480*x^5+316*x^4-449*x^3+48*x^2+86*x-25)/(2*x-1)/(4*x^2+x-1)/(8*x^3-4*x^2-3*x+1)/(x-1)^2 ogf] A235974 3.96944 [-(561037*f(x)+2424730)*(8*f(x)*x^4-22*f(x)*x^3+7*f(x)*x^2+72*x^3+4*f(x)*x-182*x^2-f(x)+25*x+39) ogf] A235974 7.55628 [-(72*x^3-182*x^2+25*x+39)/(2*x^2-5*x+1)/(4*x^2-x-1) ogf] A235988 7.54854 [-(2*x^5+14*x^4+44*x^3+48*x^2+30*x+6)/(x^6+4*x^5+7*x^4-7*x^2-4*x-1) lgdogf] A235988 7.83887 [3*(x^4+4*x^3+8*x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A235996 12.3617 [-(-10*x^2-2*x+4)/(-2*x^3-x^2+3*x-1) lgdogf] A235996 13.1723 [-x^4/(2*x-1)/(x^2+x-1)^2 ogf] A235996 4.27398 [{(2*n+4)*a(n+1)+a(n+2)*n+(-3*n-1)*a(n+3)+a(n+4)*n,a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A235996 6.8676 [-2*f(x)*x^5-3*f(x)*x^4+4*f(x)*x^3-x^4+3*f(x)*x^2-4*f(x)*x+f(x) ogf] A236003 4.57521 [-4*(256*x^5+1056*x^4-16*x^3-600*x^2+225*x-22)/(4*x^3+14*x^2-8*x+1)/(16*x^3+8*x^2-8*x+1) ogf] A236011 4.70949 [-(64*x^6+300*x^5+586*x^4+784*x^3+547*x^2+306*x+81)/(8*x^6+16*x^5+30*x^4+14*x^3+9*x^2-1) ogf] A236048 4.62528 [-(64*x^7+176*x^6+560*x^5+596*x^4+808*x^3+383*x^2+292*x+81)/(8*x^6+12*x^5+24*x^4+4*x^3+9*x^2-1) ogf] A236049 3.89461 [4*(16*x^8+80*x^7+142*x^6-21*x^5-377*x^4-602*x^3-320*x^2-194*x-73)/(4*x^6+12*x^5+21*x^4+5*x^3+4*x^2+x-1) ogf] A236120 3.53663 [-8*(372*x^5-216*x^4-707*x^3-488*x^2-195*x-32)/(144*x^6-96*x^5-264*x^4-164*x^3-59*x^2-6*x+1) ogf] A236144 12.5422 [(x-1)*(x^2+2*x+2)/(x^2+1)/(x^2+x-1) ogf] A236144 6.52194 [-(2920*f(x)-2631)*(f(x)*x^4+f(x)*x^3-x^3+f(x)*x-x^2-f(x)+2) ogf] A236148 5.27777 [-3*(64*x^4-56*x^3-92*x^2-111*x-27)/(12*x^5-12*x^4-16*x^3-18*x^2-x+1) ogf] A236149 3.52099 [-6*(27*x^7+43*x^6+171*x^5+399*x^4+237*x^3-126*x^2-210*x-69)/(2*x^8+2*x^7+11*x^6+22*x^5+x^4-24*x^3-19*x^2-3*x+1) ogf] A236157 5.17445 [(6*x^5-38*x^4+20*x^3+37*x^2+55*x+14)/(12*x^5-12*x^4-16*x^3-18*x^2-x+1) ogf] A236158 3.80168 [-(27*x^7+43*x^6+171*x^5+399*x^4+237*x^3-126*x^2-210*x-69)/(2*x^8+2*x^7+11*x^6+22*x^5+x^4-24*x^3-19*x^2-3*x+1) ogf] A236165 12.5931 [(x^3+x^2-1)/(x^2+1)/(x^2+x-1) ogf] A236165 7.11782 [(2*f(x)-1)*(f(x)*x^4+f(x)*x^3-x^3+f(x)*x-x^2-f(x)+1) ogf] A236172 4.68624 [-(x^14-2*x^13+2*x^12+2*x^11+8*x^9-4*x^8+4*x^7-8*x^6-2*x^4-2*x^3+2*x^2-x+3)/(x+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) ogf] A236175 8.81221 [-(2*x^7+11*x^6+6*x^5+3*x^4+6*x^3+3*x^2+6*x+11)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A236185 8.88164 [-2*(3*x^7+x^6+3*x^5+2*x^4+x^3+2*x^2+x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A236191 9.65848 [x*(x+1)*(x^3-2*x^2-1)/(x^2-x-1)/(x^4+x^3+2*x^2-x+1) ogf] A236192 6.94264 [-(8*x^7+91*x^6+936*x^5+8580*x^4+68640*x^3+463320*x^2+8648640)/(-x^8-13*x^7-156*x^6-1716*x^5-17160*x^4-154440*x^3-8648640*x-51891840) lgdegf] A236194 4.69922 [{(27*n^3+243*n^2+726*n+720)*a(n+1)+(-4*n^3-38*n^2-116*n-112)*a(n+2),a(0)=1,a(1)=7} ogf] A236203 10.4769 [-(9*x^3-5*x^2-11*x-5)/(3*x^4-2*x^3-6*x^2+2*x+3) lgdogf] A236203 9.98391 [x^2*(3*x^2-2*x-3)/(x+1)^2/(x-1)^3 ogf] A236213 10.3260 [{-a(n+4)+a(n+3),a(0)=4,a(1)=2,a(2)=6,a(3)=2} ogf] A236213 11.6623 [(f(x)-116)*(-4*x^3+f(x)*x+4*x^2-f(x)-2*x+4) ogf] A236213 12.3912 [-(-4*x^3+8*x^2-4*x-1)/(2*x^4-4*x^3+3*x^2-3*x+2) lgdogf] A236213 18.7036 [2*(2*x^3-2*x^2+x-2)/(x-1) ogf] A236257 11.8447 [-(-18*x^2+10*x-4)/(-18*x^3+41*x^2-32*x+9) lgdogf] A236257 12.9727 [-(18*x^2-23*x+9)/(x-1)^3 ogf] A236257 6.69903 [-(464*f(x)-4881)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)-23*x+9) ogf] A236257 7.29716 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=4,a(2)=3} ogf] A236267 12.3273 [-(6*x^2+30*x+12)/(6*x^3+3*x^2-8*x-1) lgdogf] A236267 13.3377 [-(6*x^2+9*x+1)/(x-1)^3 ogf] A236267 6.72397 [(153856*f(x)-893305)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+9*x+1) ogf] A236267 7.13685 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=39} ogf] A236271 3.96786 [(48949*f(x)-189272)*(8*f(x)*x^4+16*f(x)*x^3-4*f(x)*x^2+72*x^3-5*f(x)*x+160*x^2+f(x)+2*x-42) ogf] A236271 7.30666 [-2*(36*x^3+80*x^2+x-21)/(2*x-1)/(4*x^3+10*x^2+3*x-1) ogf] A236283 10.9423 [-(2*x^3-3*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A236283 6.18869 [(191*f(x)+61)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-3*x^2-f(x)+2*x+1) ogf] A236283 8.57977 [-(-2*x^4+2*x^3-6*x^2-2*x-4)/(-2*x^5+3*x^4-4*x^2+2*x+1) lgdogf] A236291 6.04142 [(x^7-3*x^6-2*x^5-3*x^4+6*x^3-3*x^2-x+1)/(2*x-1)/(x-1)^3/(x+1)^3 ogf] A236294 8.10083 [(x^6-2*x^5+x^4-x^2+x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A236323 5.204 [-(627*f(x)-4456)*(8*f(x)*x^4+2*f(x)*x^3+f(x)*x^2+56*x^3+44*x^2-f(x)+32*x+16) ogf] A236323 8.92116 [-4*(14*x^3+11*x^2+8*x+4)/(2*x-1)/(4*x^3+3*x^2+2*x+1) ogf] A236324 5.93461 [-(615*f(x)-9532)*(4*f(x)*x^4+f(x)*x^3-16*x^4+60*x^3+60*x^2-f(x)+44*x+32) ogf] A236324 9.35842 [4*(4*x^4-15*x^3-15*x^2-11*x-8)/(4*x^4+x^3-1) ogf] A236326 13.8094 [(7*x^4+7*x^3+4*x^2+3*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A236327 14.8113 [(11*x^3+11*x^2+6*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A236333 9.50038 [-(2*x^8+2*x^7-4*x^5-5*x^4+x^3+2*x^2+3*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A236337 11.5115 [-(-4*x^3+8*x^2+2*x+3)/(-x^4+2*x^3+x-2) lgdogf] A236337 12.0120 [(x-2)/(x^2+x+1)/(x-1)^3 ogf] A236339 19.5968 [[x^4-2*x^2+x] revogf] A236340 10.5300 [(x^2+x+1)*(x^2-x-1)/(x+1)/(x^2+x-1) ogf] A236340 5.43216 [{-a(n+5)+2*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=5,a(4)=7} ogf] A236340 6.77675 [(f(x)-2)*(f(x)*x^3-x^4+2*f(x)*x^2+x^2-f(x)+2*x+1) ogf] A236343 9.84060 [(x^3-2*x^2+x-1)/(x^2+x+1)/(x-1)^3 ogf] A236348 11.7609 [(x^3+2*x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A236348 4.97856 [{(n+3)*a(n+1)+a(n+2)+a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=4} ogf] A236348 6.44052 [-(21*f(x)+155)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)+x-1) ogf] A236348 8.82071 [-(-x^5-5*x^4-8*x^2-4*x)/(-x^6-2*x^5+x^4+2*x^2-x+1) lgdogf] A236364 7.59206 [-(2*x^5+11*x^4+38*x^3+38*x^2+26*x+5)/(x^6+3*x^5+6*x^4-6*x^2-3*x-1) lgdogf] A236364 8.11824 [(x^4+3*x^3+7*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A236370 7.82763 [(2*x^4+8*x^3+15*x^2+7*x+1)/(x+1)^2/(x-1)^4 ogf] A236377 5.61013 [(9*x^6-10*x^5+11*x^4+4*x^3+3*x^2-2*x+1)/(x+1)/(x^2+1)^2/(x-1)^4 ogf] A236392 16.9835 [-x*(x^3+x^2+1)/(2*x^4+x^3+x-1) ogf] A236392 8.62445 [-(-2*x^6-4*x^5-x^4-6*x^3-5*x^2-2*x-1)/(-2*x^7-3*x^6-x^5-3*x^4-x^3+x^2-x+1) lgdogf] A236392 9.59941 [(9*f(x)+7)*(2*f(x)*x^4+f(x)*x^3+x^4+x^3+f(x)*x-f(x)+x) ogf] A236398 10.4551 [(2*f(x)-1)*(f(x)*x^4+x^3+2*x^2-f(x)+x+1) ogf] A236398 15.2240 [-(x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A236428 12.5454 [(x^2-x+1)/(x+1)/(x^2-3*x+1) ogf] A236428 6.71289 [(136*f(x)+39)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)+x-1) ogf] A236428 6.83277 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A236428 7.97156 [-(-x^4+2*x^3-7*x^2+6*x+1)/(-x^5+3*x^4-x^3-x^2+3*x-1) lgdogf] A236432 12.3601 [-f(x)*x^2+2*f(x)*x-f(x)+210*x+210 ogf] A236432 16.9005 [210*(x+1)/(x-1)^2 ogf] A236432 18.8210 [-(x+3)/(x^2-1) lgdogf] A236432 39.1724 [[3-x] ogf_with_Euler_transform] A236432 9.62937 [{-a(n+2)+2*a(n+1)-a(n),a(0)=210,a(1)=630} ogf] A236438 3.30346 [{(n^2+4*n+4)*a(n+1)+(3*n^2+18*n+28)*a(n+2)+(2*n^2+13*n+22)*a(n+3)+(-2*n-8)*a(n+4),a(0)=2,a(1)=1,a(2)=3,a(3)=8} ogf] A236453 7.02839 [-(616*f(x)+73)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-2*x^2-f(x)+x+1) ogf] A236453 8.01916 [-(2*x^3-2*x^2+x+1)/(x+1)/(x-1)^3 ogf] A236535 10.6352 [-(-6*x^4-12*x^3-14*x^2-11*x-5)/(-3*x^5-3*x^4-2*x^3+3*x^2+3*x+2) lgdogf] A236535 17.2603 [(3*x^2+3*x+2)/(x^2+x+1)/(x-1)^2 ogf] A236535 6.30467 [{(8*n+31)*a(n+1)+8*a(n+2)+8*a(n+3)+(-8*n-23)*a(n+4),a(0)=2,a(1)=5,a(2)=8,a(3)=10} ogf] A236535 9.23581 [(48*f(x)+565)*(f(x)*x^4-f(x)*x^3-f(x)*x-3*x^2+f(x)-3*x-2) ogf] A236549 4.23263 [-2*(4*x^7+70*x^6-93*x^5-320*x^4+304*x^3+102*x^2-31*x-4)/(x^2+2*x-1)/(x^2-2*x-1)/(x^4+20*x^3-25*x^2-8*x+1) ogf] A236571 5.24674 [-x*(26093548*x^14+5173347*x^11+2007196*x^10-11973*x^4-2763*x-921)/(5*x^2-1)/(2007196*x^10-921) ogf] A236572 4.74147 [(16742952*x^15+1302319*x^12-3720656*x^11-1860328*x^10-6723*x^5-747*x^2+1494*x+747)/(5*x^2-1)/(1860328*x^10-747) ogf] A236576 5.03827 [{a(n+3)-6*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=22} ogf] A236576 5.12906 [(f(x)-1)*(f(x)*x^3-3*f(x)*x^2+6*f(x)*x+x^2-f(x)-2*x+1) ogf] A236576 7.49112 [-(-x^3+3*x^2+4)/(-x^4+4*x^3-9*x^2+7*x-1) lgdogf] A236576 9.33320 [-(x-1)^2/(x^3-3*x^2+6*x-1) ogf] A236577 3.87304 [-(x^3+x^2-1)*(x-1)^2*(x^2+x+1)^2/(x^12+x^11-x^10-5*x^9-3*x^8+x^7+10*x^6+5*x^5+x^4-7*x^3-x^2-x+1) ogf] A236579 3.77349 [-(25*f(x)+2)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A236579 6.95891 [-(x-1)^3/(x^4-4*x^3+6*x^2-6*x+1) ogf] A236580 5.0734 [-(476*f(x)+19)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-7*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A236580 6.23304 [-(x-1)^3/(x^4-4*x^3+6*x^2-7*x+1) ogf] A236581 5.07192 [-(56*f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-8*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A236581 6.76839 [-(x-1)^3/(x^4-4*x^3+6*x^2-8*x+1) ogf] A236583 4.98781 [(5*f(x)-2)*(f(x)*x^4-f(x)*x^3+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A236583 9.07618 [-(x-1)^2/(x^4-x^3+3*x-1) ogf] A236584 10.5381 [-(x-1)/(2*x^4-4*x^3+x^2-2*x+1) ogf] A236584 4.52695 [{a(n+4)-2*a(n+3)+a(n+2)-4*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A236584 5.18408 [(226*f(x)-15)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A236652 10.7575 [(8*x^4+x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A236653 11.8478 [(8*x^3+2*x^2+7*x+1)/(x^2+x+1)/(x-1)^2 ogf] A236653 4.75288 [{(18*n+55)*a(n+1)+18*a(n+2)+18*a(n+3)+(-18*n-37)*a(n+4),a(0)=1,a(1)=8,a(2)=10,a(3)=19} ogf] A236653 6.19315 [(2414232*f(x)+16690669)*(f(x)*x^4-f(x)*x^3-8*x^3-f(x)*x-2*x^2+f(x)-7*x-1) ogf] A236664 4.12221 [-(77760*x^6+45504*x^5+20112*x^4+9544*x^3+1704*x^2+290*x+81)/(5760*x^7+2304*x^6+888*x^5+436*x^4+2*x-1) ogf] A236677 10.3243 [-(-6*x^5+4*x^3-2*x)/(-x^6+x^4-x^2+1) lgdogf] A236677 18.1304 [-1/(x-1)/(x+1)/(x^4+1) ogf] A236677 20.0557 [x*(x^6-x^2+1) ogf_with_Euler_transform] A236678 11.9142 [1/(x+1)/(x^4+1)/(x-1)^2 ogf] A236678 24.8327 [x^7-x^3+x+1 ogf_with_Euler_transform] A236678 9.78663 [-(7*x^5+x^4-4*x^3+3*x+1)/(x^6-x^4+x^2-1) lgdogf] A236680 9.65840 [-(4*x^5+2*x^2+1)/(2*x^2-1)/(2*x^2-2*x+1)/(2*x^2+1) ogf] A236739 3.36472 [-(6720*x^8+5472*x^7-10020*x^6-7738*x^5+4345*x^4+2794*x^3-874*x^2-300*x+81)/(x-1)/(4*x-1)/(x+1)/(3*x^2-1)/(4*x^2+x-1)/(4*x^2+2*x-1) ogf] A236770 12.0702 [-(3*x^2+30*x+12)/(x^3+6*x^2-6*x-1) lgdogf] A236770 4.19280 [{(n+3)*a(n+4)+6*n*a(n+3)+(-36-6*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=12,a(3)=51} ogf] A236770 9.59798 [-x*(x^2+7*x+1)/(x-1)^5 ogf] A236771 8.65434 [x*(2*x^4-2*x^2-3*x-1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A236773 6.18964 [x*(x^7+2*x^5+2*x^4+2*x^3+x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^4 ogf] A236802 4.71557 [-(19440*x^5-9000*x^4-4008*x^3+1972*x^2+128*x-81)/(3*x-1)/(2*x-1)/(6*x^2-1)/(20*x^2-1) ogf] A236841 7.31880 [x*(x^28+x^25-1)/(x^28+x^24-1)/(x-1)^2 ogf] A236858 9.10173 [(12*x^23-12*x^22+6*x^11-6*x^10+2*x^5-2*x^4+x^3-x+1)/(x-1)^2 ogf] A236886 3.15255 [-(58112*x^8-46592*x^7-46992*x^6+41760*x^5+4460*x^4-8552*x^3+776*x^2+484*x-81)/(x-1)/(2*x-1)/(4*x-1)/(10*x^2-1)/(6*x^2-1)/(4*x^2+2*x-1) ogf] A236916 14.3242 [x*(x^7+x^5+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A236924 7.86633 [-(-4*x^10-2*x^9-x^8+x^7-5*x^2-3*x-2)/(x^11+x^10+x^9+x^8+x^3+x^2+x+1) ogf_with_Euler_transform] A236926 7.58188 [-(4*x^8-6*x^7+9*x^6-4*x^5-3*x^4+3*x^3+8*x^2-9*x+6)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A236926 99.9999 Evaluated at exp(-Pi) 1/8*Pi^(1/2)*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)^9*GAMMA(11/12)^2*GAMMA(7/12)^3*2^(1/2)*(1+3^(1/2)) A236928 99.9999 Evaluated at exp(-Pi) 1/8*GAMMA(5/8)^4*(3+2*2^(1/2))*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A236929 99.9999 Evaluated at exp(-Pi) 1/12800*2^(1/5)*5^(1/2)*GAMMA(3/5)^4*GAMMA(7/10)^2*(5+5^(1/2))^2*(5^(1/2)+1)^4/Pi/GAMMA(3/4)^4/GAMMA(9/10)^2 A236930 99.9999 Evaluated at exp(-Pi) 1/800*Pi*5^(3/4)/GAMMA(3/4)^4*2^(1/2)*(5-5^(1/2))^(3/2)*(5^(1/2)+1)^3 A236942 3.40432 [-2*(56700*x^6+28035*x^5-71862*x^4-16274*x^3+7019*x^2+650*x-128)/(x-1)/(3*x^2+3*x-1)/(20*x^2+5*x-1)/(63*x^2+7*x-1) ogf] A236967 10.7838 [-9*f(x)*x^2+6*f(x)*x+9*x^2-f(x)+6*x+1 ogf] A236967 14.4463 [(3*x+1)^2/(3*x-1)^2 ogf] A236967 23.2016 [12/(-9*x^2+1) lgdogf] A236967 7.36206 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=1,a(1)=12,a(2)=72} ogf] A236990 5.67153 [-(161*f(x)-6521)*(400*f(x)*x^4+7200*x^3+1600*x^2-f(x)+360*x+81) ogf] A236990 5.90068 [{a(n+4)-400*a(n),a(0)=81,a(1)=360,a(2)=1600,a(3)=7200} ogf] A236990 8.59069 [-(7200*x^3+1600*x^2+360*x+81)/(20*x^2-1)/(20*x^2+1) ogf] A236991 5.50807 [-(2*f(x)-153)*(1944*f(x)*x^4+104976*x^3+15552*x^2-f(x)+2376*x+360) ogf] A236991 7.88993 [-72*(1458*x^3+216*x^2+33*x+5)/(1944*x^4-1) ogf] A236992 4.76512 [-64*(220320*x^4-272*x^3+92*x^2+7*x-25)/(10*x-1)/(8704*x^4-1) ogf] A237028 6.48979 [-(840*x^4+390*x^3-1025*x^2-166*x+81)/(20*x^2+5*x-1)/(3*x^2+3*x-1)/(x-1) ogf] A237036 7.02778 [-(7*x^8-28*x^7+42*x^6-20*x^5-20*x^4+30*x^3-10*x^2-3)/(x-1)^4 ogf] A237041 6.92690 [-(3864*x^13-3864*x^12+1116*x^9-1116*x^8+1116*x^5-1116*x^4+6723*x-6724)/(x-1)^2 ogf] A237128 11.0969 [-(-x^3-17*x^2-13*x-9)/(-x^4-8*x^3+8*x+1) lgdogf] A237128 12.6334 [36*(x^2+8*x+1)/(x+1)/(x-1)^2 ogf] A237128 6.73089 [-(7*f(x)+2808)*(f(x)*x^3-f(x)*x^2-f(x)*x-36*x^2+f(x)-288*x-36) ogf] A237128 7.01854 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=36,a(1)=324,a(2)=396} ogf] A237132 12.1440 [-(x-1)*(3*x^2+7*x+3)/(x^2+x-1)/(x^2-x-1) ogf] A237132 7.2418 [-(176*f(x)-243)*(f(x)*x^4-3*f(x)*x^2+3*x^3+4*x^2+f(x)-4*x-3) ogf] A237133 12.4238 [-(x-1)*(4*x^2+9*x+4)/(x^2+x-1)/(x^2-x-1) ogf] A237133 7.6909 [-(2*f(x)-3)*(f(x)*x^4-3*f(x)*x^2+4*x^3+5*x^2+f(x)-5*x-4) ogf] A237160 3.23297 [-(9664*x^8+15792*x^7-11416*x^6-14656*x^5+5288*x^4+4120*x^3-1100*x^2-322*x+81)/(4*x-1)/(2*x^2-1)/(20*x^4-10*x^2+1)/(2*x^2+3*x-1) ogf] A237227 5.56387 [-(64*x^6+208*x^5+260*x^4+640*x^3+280*x^2+268*x+81)/(2*x^2+1)/(4*x^4+10*x^2-1) ogf] A237228 4.14393 [4*(8*x^7+6*x^6-127*x^5-402*x^4-582*x^3-307*x^2-179*x-67)/(4*x^6+12*x^5+21*x^4+5*x^3+4*x^2+x-1) ogf] A237242 5.00172 [-(284757383*f(x)-11706049319)*(352*f(x)*x^4-336*x^4+6496*x^3+1488*x^2-f(x)+344*x+81) ogf] A237242 8.07969 [(336*x^4-6496*x^3-1488*x^2-344*x-81)/(352*x^4-1) ogf] A237243 5.96329 [4*(513*x^5+1974*x^4-19605*x^3-3150*x^2-516*x-86)/(1410*x^4-1) ogf] A237250 11.8811 [-(x-1)*(2*x+1)*(x+2)/(x^4-4*x^2+1) ogf] A237250 7.35498 [(220*f(x)-151)*(f(x)*x^4-4*f(x)*x^2+2*x^3+3*x^2+f(x)-3*x-2) ogf] A237254 12.2109 [-(x-1)*(x^2+3*x+1)/(x^4-5*x^2+1) ogf] A237254 7.28172 [-(720*f(x)-323)*(f(x)*x^4-5*f(x)*x^2+x^3+2*x^2+f(x)-2*x-1) ogf] A237255 11.8902 [-(x-1)*(2*x+1)*(x+2)/(x^4-5*x^2+1) ogf] A237255 7.1561 [-(102*f(x)-41)*(f(x)*x^4-5*f(x)*x^2+2*x^3+3*x^2+f(x)-3*x-2) ogf] A237262 11.6560 [-(x-1)*(x^2+3*x+1)/(x^4-8*x^2+1) ogf] A237262 7.21563 [(756*f(x)-127)*(f(x)*x^4-8*f(x)*x^2+x^3+2*x^2+f(x)-2*x-1) ogf] A237268 12.9357 [-(x^3-3*x^2+x-1)/(x^2-3*x+1) ogf] A237268 6.86155 [{a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=8,a(3)=21} ogf] A237268 7.58729 [(47*f(x)+162)*(f(x)*x^2+x^3-3*f(x)*x-3*x^2+f(x)+x-1) ogf] A237268 8.05182 [-(x^4-6*x^3+11*x^2-4*x-2)/(-x^5+6*x^4-11*x^3+7*x^2-4*x+1) lgdogf] A237275 4.18497 [-(f(x)-1)*(8*f(x)*x^3-4*f(x)*x^2+2*f(x)*x+16*x^2-f(x)-2*x+2) ogf] A237275 4.29608 [{a(n+3)-2*a(n+2)+4*a(n+1)-8*a(n),a(0)=2,a(1)=2,a(2)=12} ogf] A237275 7.82995 [-2*(8*x^2-x+1)/(2*x-1)/(4*x^2+1) ogf] A237317 4.28279 [-(88937456887595*f(x)-3621465146367049)*(356*f(x)*x^4-64*x^4+6608*x^3+1508*x^2-f(x)+348*x+81) ogf] A237317 7.50878 [(64*x^4-6608*x^3-1508*x^2-348*x-81)/(356*x^4-1) ogf] A237342 8.36130 [x*(10*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(10*x-1)/(x-1) ogf] A237343 7.80228 [x*(20*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(10*x-1)/(x-1) ogf] A237345 5.11217 [x*(10*x^12+10*x^11+10*x^10+10*x^9+20*x^8-25*x^7-15*x^6-5*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(10*x^5-1) ogf] A237356 7.91318 [-(2*x-1)*(120*x^3-122*x^2+24*x-1)/(x-1)/(2640*x^4-2540*x^3+646*x^2-54*x+1) ogf] A237357 13.0084 [(x-1)/(36*x^3+22*x^2+7*x-1) ogf] A237357 6.22141 [{-a(n+3)+7*a(n+2)+22*a(n+1)+36*a(n),a(0)=1,a(1)=6,a(2)=64} ogf] A237357 6.33153 [(16319*f(x)-11169)*(36*f(x)*x^3+22*f(x)*x^2+7*f(x)*x-f(x)-x+1) ogf] A237357 8.31933 [-(-72*x^3+86*x^2+44*x+6)/(-36*x^4+14*x^3+15*x^2+8*x-1) lgdogf] A237368 7.21242 [(2688*x^5+1476*x^4-3840*x^3-1024*x^2-288*x-81)/(14*x^2-1)/(14*x^2+1) ogf] A237377 5.34081 [-(146547*f(x)-5951099)*(336*f(x)*x^4+64*x^4+6368*x^3+1472*x^2-f(x)+344*x+81) ogf] A237377 8.18462 [-(64*x^4+6368*x^3+1472*x^2+344*x+81)/(336*x^4-1) ogf] A237378 5.96329 [4*(645*x^5-270*x^4-19047*x^3-3102*x^2-516*x-86)/(1320*x^4-1) ogf] A237415 10.4229 [x*(x^4+x^3+6*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A237416 7.30918 [5*(2*x^8+4*x^7+6*x^6+8*x^5+x^4+8*x^3+6*x^2+4*x+2)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A237420 10.1427 [-f(x)*x^4+2*f(x)*x^2+2*x^2-f(x) ogf] A237420 15.5851 [2*x^2/(x-1)^2/(x+1)^2 ogf] A237420 17.7497 [4*x/(-x^2+1) lgdogf] A237420 37.4707 [[2*x] ogf_with_Euler_transform] A237420 5.60517 [{(n+1)*a(n+3)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A237456 3.83652 [-(18432*x^9+4096*x^8+31872*x^7+8704*x^6+19264*x^5+5264*x^4+4272*x^3+1144*x^2+308*x+81)/(1024*x^10+1600*x^8+832*x^6+136*x^4-1) ogf] A237465 4.30498 [-(14112*x^7+3136*x^6+33960*x^5+7585*x^4+6954*x^3+1566*x^2+356*x+81)/(784*x^8+1840*x^6+288*x^4-1) ogf] A237516 9.45499 [-(-x^4-24*x^3-108*x^2-92*x-15)/(-x^5-9*x^4-16*x^3+16*x^2+9*x+1) lgdogf] A237516 9.93739 [-(x^2+6*x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A237529 5.01994 [-3*(2*x^6-11*x^5+21*x^4-14*x^3+x^2+34*x+2)/(x-1)^9 ogf] A237530 5.13864 [x*(x^7-x^6-2*x^5-15*x^4-13*x^3-16*x^2-10*x-4)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A237550 4.23678 [-(400*x^8+8000*x^7+2784*x^6+12832*x^5+3576*x^4+4752*x^3+1240*x^2+312*x+81)/(400*x^8+608*x^6+192*x^4-1) ogf] A237560 4.00595 [-(1024*x^8+17600*x^7+4880*x^6+13968*x^5+3536*x^4+3720*x^3+932*x^2+316*x+81)/(864*x^8+632*x^6+140*x^4+4*x^2-1) ogf] A237616 12.6036 [x*(14*x+1)/(x-1)^4 ogf] A237616 15.9969 [-(-42*x-18)/(-14*x^2+13*x+1) lgdogf] A237616 5.43686 [{(-2-n)*a(n+3)+(5-13*n)*a(n+2)+(42+14*n)*a(n+1),a(0)=0,a(1)=1,a(2)=18} ogf] A237616 5.73683 [-(60905250*f(x)+362858239)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-14*x^2+f(x)-x) ogf] A237617 12.2404 [x*(16*x+1)/(x-1)^4 ogf] A237617 15.5359 [-(-48*x-20)/(-16*x^2+15*x+1) lgdogf] A237617 5.28016 [{(-2-n)*a(n+3)+(5-15*n)*a(n+2)+(48+16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=20} ogf] A237617 5.53332 [-(128042606*f(x)+865157417)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-16*x^2+f(x)-x) ogf] A237618 11.9343 [x*(18*x+1)/(x-1)^4 ogf] A237618 15.1474 [-(-54*x-22)/(-18*x^2+17*x+1) lgdogf] A237618 5.14814 [{(-2-n)*a(n+3)+(5-17*n)*a(n+2)+(54+18*n)*a(n+1),a(0)=0,a(1)=1,a(2)=22} ogf] A237618 5.35827 [-(248007722*f(x)+1873957959)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-18*x^2+f(x)-x) ogf] A237629 4.18616 [-(4392*x^10-1100*x^9-44610*x^8-20120*x^7+24794*x^6+14580*x^5+2643*x^4+532*x^3-986*x^2-636*x-81)/(2*x+1)/(2*x-1)/(5*x^2-1)/(5*x^2+1) ogf] A237630 4.96570 [-(400*x^8+800*x^7+1496*x^6+2576*x^5+1705*x^4+1786*x^3+702*x^2+260*x+81)/(48*x^6+36*x^4-1) ogf] A237631 3.70239 [2*(5*x^11-68*x^10-324*x^9-614*x^8-1134*x^7-1410*x^6-713*x^5-4*x^4+788*x^3+610*x^2+318*x+130)/(6*x^8+12*x^7-10*x^4-3*x^3+1) ogf] A237632 4.45549 [-2*(16*x^12+24*x^11+9*x^10-48*x^9-48*x^8-116*x^7-554*x^6-990*x^5-361*x^4+744*x^3+655*x^2+610*x+351)/(2*x^2-1)/(2*x^2+1) ogf] A237633 4.23126 [2*(x^13+6*x^12+9*x^11-14*x^10-47*x^9-44*x^8-22*x^7+732*x^6+3670*x^5+3057*x^4-1006*x^3-744*x^2-1178*x-893)/(5*x^4-1) ogf] A237634 5.10329 [-(288*x^12-528*x^10-862*x^8+48*x^7-588*x^6-12344*x^5-13862*x^4+2816*x^3+2086*x^2+4500*x+4621)/(2*x^2-1)/(2*x^2+1) ogf] A237635 4.48973 [2*(49*x^13-196*x^11-147*x^9-28*x^8+722*x^7+1258*x^6+16801*x^5+27012*x^4-2220*x^3-1450*x^2-4297*x-5968)/(5*x^4-1) ogf] A237636 4.28188 [-2*(484*x^14-1364*x^12-975*x^10+2354*x^8+32*x^7+908*x^6-26904*x^5-57434*x^4+2988*x^3+2066*x^2+8224*x+15328)/(2*x^2-1)/(2*x^2+1) ogf] A237654 15.0178 [-(5*x^2-10*x)/(x^3-2*x^2-2*x+1) lgdogf] A237654 22.3436 [1/(x^2-3*x+1)/(x+1)^3 ogf] A237654 4.67391 [{(-n-4)*a(n+4)+(2*n+6)*a(n+3)+(14+2*n)*a(n+2)+(-6-n)*a(n+1),a(0)=1,a(1)=0,a(2)=5,a(3)=5} ogf] A237655 14.3083 [-(5*x^2-20*x+10)/(-x^3+2*x^2+2*x-1) lgdogf] A237655 4.67499 [{(n+4)*a(n+4)+(-16-2*n)*a(n+3)+(16-2*n)*a(n+2)+(-4+n)*a(n+1),a(0)=1,a(1)=10,a(2)=50,a(3)=175} ogf] A237655 9.73554 [(x+1)^7/(x^2-3*x+1) ogf] A237684 13.8678 [-(x^8-x^7+x^6+1)/(x-1) ogf] A237714 18.6962 [-(x+1)/(2*x^5+x^2-1) ogf] A237714 9.44449 [-(8*x^5+10*x^4+x^2+2*x+1)/(2*x^6+2*x^5+x^3+x^2-x-1) lgdogf] A237714 9.64332 [f(x)*(f(x)-1)*(2*f(x)*x^5+f(x)*x^2-f(x)+x+1) ogf] A237716 15.7273 [-(x+1)/(2*x^7+x^2-1) ogf] A237718 13.9620 [-(x+1)/(2*x^9+x^2-1) ogf] A237853 7.32197 [-(x^4+3*x^3+7*x^2+2*x+4)/(x^5+2*x^4+4*x^3-2*x^2+3*x-1) ogf] A237914 5.83322 [(f(x)*x-f(x)+1)^2 ogf] A237930 10.9054 [-(-6*x^2+18*x-10)/(-6*x^3+17*x^2-14*x+3) lgdogf] A237930 16.4792 [-(2*x-3)/(3*x-1)/(x-1) ogf] A237930 8.52372 [(11*f(x)+17)*(3*f(x)*x^2-4*f(x)*x+f(x)+2*x-3) ogf] A237930 8.93451 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=3,a(1)=10} ogf] A237938 4.12637 [-(456*x^6-20*x^5-1620*x^4-178*x^3+998*x^2+211*x-81)/(x-1)/(6*x^3-8*x^2-5*x+1)/(4*x^3+8*x^2+2*x-1) ogf] A237988 10.0692 [x*(x^7-x^5+x^3-2*x^2-x-1)/(x^9+3*x^6+3*x^3-1) ogf] A237991 10.5321 [-(992*x^2+3962*x+992)/(992*x^3-3*x^2-988*x-1) lgdogf] A237991 12.1524 [-(992*x^2+989*x+1)/(x-1)^3 ogf] A237991 6.26909 [(91156*f(x)-61819591)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+992*x^2-f(x)+989*x+1) ogf] A237991 6.75132 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=992,a(2)=3965} ogf] A237997 14.1581 [-1/(x+1)/(x^3+x-1)/(x^4+1) ogf] A237997 7.75973 [-(8*x^7+7*x^6+6*x^5+3*x^2+2*x)/(x^8+x^7+x^6+x^3+x^2-1) lgdogf] A238039 4.51202 [-(6912*x^7+1600*x^6+9008*x^5+2116*x^4+3344*x^3+792*x^2+340*x+81)/(6*x^2+1)/(64*x^6+68*x^4+14*x^2-1) ogf] A238055 10.9704 [-(-15*x^2+36*x-19)/(-15*x^3+38*x^2-29*x+6) lgdogf] A238055 17.0651 [-(5*x-6)/(3*x-1)/(x-1) ogf] A238055 8.72648 [(40*f(x)+121)*(3*f(x)*x^2-4*f(x)*x+f(x)+5*x-6) ogf] A238055 9.25218 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=6,a(1)=19} ogf] A238084 6.49899 [[2] ogf_with_Euler_transform] A238108 4.82824 [-(8*x^6-26*x^5+47*x^4-34*x^3+21*x^2-7*x+1)/(x-1)^7 ogf] A238111 14.2473 [-f(x)^2*x-2*f(x)*x+2*f(x)-4 ogf] A238111 19.1043 [-(x^2-2*x)/(2*x+4) revogf] A238111 4.02196 [{(n^2+n)*a(n)+(-5*n^2-11*n-6)*a(n+1)+(-5*n^2-29*n-42)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=2,a(1)=4,a(2)=12} ogf] A238112 11.2719 [2*f(x)^2*x-2*f(x)*x^2+5*f(x)*x+x^2-f(x) ogf] A238112 12.6809 [1/2*(x+3)/x/(x^2-6*x+1)^(1/2)-3/2/x lgdogf] A238112 5.43466 [{(7*n^2-n-6)*a(n)+(-42*n^2-57*n-21)*a(n+1)+(7*n^2+20*n-3)*a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A238113 14.282 [-2*f(x)^2*x-5*f(x)*x+3*f(x)-2*x-3 ogf] A238113 14.9961 [-5/4*x-3/4+3/4*(x^2+6*x+1)^(1/2) revogf] A238113 4.28459 [{(3*n^2+3*n)*a(n)+(-17*n^2-41*n-24)*a(n+1)+(-3*n^2-21*n-36)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A238173 4.65035 [-(456*x^5+234*x^4-1083*x^3+119*x^2+387*x-81)/(x-1)/(2*x^2+3*x-1)/(12*x^3-3*x^2-6*x+1) ogf] A238187 5.34951 [-(3*f(x)+13)*(4*f(x)*x^4-10*f(x)*x^3+10*f(x)*x^2+10*x^3-5*f(x)*x-20*x^2+f(x)+15*x-4) ogf] A238187 9.58998 [-(10*x^3-20*x^2+15*x-4)/(2*x-1)/(x-1)/(2*x^2-2*x+1) ogf] A238188 5.83576 [x^2*(x^8-x^6+2*x^4-2*x^2-1)*(x^2+x+1)*(x^3-x^2+1)/(x^16+4*x^12+6*x^8+4*x^4-1) ogf] A238236 10.9142 [-(x^2+x-1)/(x-1)/(x^3+3*x^2+2*x-1) ogf] A238236 5.83782 [(f(x)-1)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)+x-1) ogf] A238236 8.18562 [-(-2*x^5-5*x^4+4*x^2-2)/(-x^6-3*x^5+6*x^3+x^2-4*x+1) lgdogf] A238275 11.1277 [-(7*x^2+14*x-9)/(7*x^3-x^2-7*x+1) lgdogf] A238275 16.0734 [(x+1)/(7*x-1)/(x-1) ogf] A238275 8.31384 [(58*f(x)+23)*(7*f(x)*x^2-8*f(x)*x+f(x)-x-1) ogf] A238275 8.82077 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=1,a(1)=9} ogf] A238276 10.4713 [-(8*x^2+16*x-10)/(8*x^3-x^2-8*x+1) lgdogf] A238276 15.3579 [(x+1)/(8*x-1)/(x-1) ogf] A238276 7.59458 [(1481*f(x)+1019)*(8*f(x)*x^2-9*f(x)*x+f(x)-x-1) ogf] A238276 8.32658 [{-a(n+2)+9*a(n+1)-8*a(n),a(0)=1,a(1)=10} ogf] A238290 12.6385 [-(-6*x^2-15*x-7)/(-3*x^3-4*x^2+3*x+4) lgdogf] A238290 14.4123 [2*x*(3*x+4)/(x+1)/(x-1)^2 ogf] A238290 7.33485 [(511*f(x)+1130)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-8*x) ogf] A238290 7.33485 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=14} ogf] A238299 10.6688 [-9*f(x)^2*x^2+f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A238299 12.6384 [-1/(x^2-10*x+1)^(1/2)/x*(x-1)-1/x lgdogf] A238299 3.85680 [{(n^2+2*n)*a(n)+(-11*n^2-40*n-33)*a(n+1)+(11*n^2+70*n+108)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=1,a(1)=4,a(2)=24} ogf] A238300 11.9837 [-2*(x-1)/(x^2-10*x+1)^(1/2)/x-2/x lgdogf] A238300 23.2296 [-2/(x^2-10*x+1)^(1/2)/x*(x-1)-2/x lgdogf] A238300 3.63992 [{(-n^2-4*n)*a(n)+(11*n^2+62*n+75)*a(n+1)+(-11*n^2-92*n-180)*a(n+2)+(n^2+10*n+21)*a(n+3),a(0)=1,a(1)=8,a(2)=64} ogf] A238300 8.11399 [81*f(x)^2*x^4-f(x)*x^4+8*f(x)*x^3+8*f(x)*x-f(x)+1 ogf] A238315 6.96796 [-(2*x^4-6*x^3+8*x^2-x-1)/(2*x+1)/(2*x-1)/(x-1)^3 ogf] A238328 5.42911 [-4*(4*x^6+15*x^5+23*x^4+28*x^3+18*x^2+7*x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A238340 8.69525 [(x+1)*(2*x^2+x+1)/(x^2+x+1)/(x-1)^4 ogf] A238361 9.23284 [x^3*(x^2+x+1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A238366 11.0806 [-(10*x^3+10*x^2-10*x-2)/(5*x^4-6*x^2+1) lgdogf] A238366 14.8438 [(x+1)/(x-1)/(5*x^2-1) ogf] A238366 7.02431 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A238366 7.49259 [(96*f(x)+89)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+f(x)-x-1) ogf] A238374 8.04014 [-(-2*x^7-2*x^6-2*x^5-4*x^4+4*x+2)/(-x^8-x^6+2*x^4+x^2-1) lgdogf] A238374 9.45899 [(x+1)*(x^2+1)/(x-1)/(x^4+x^2-1) ogf] A238375 11.9220 [(x+1)/(x-1)/(x^4+2*x^2-1) ogf] A238375 9.79310 [-(-4*x^5-2*x^4-4*x^2+4*x+2)/(-x^6-x^4+3*x^2-1) lgdogf] A238377 5.08467 [(189*f(x)-365)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+1) ogf] A238377 8.29999 [-(-4*x^3-4*x^2-8*x-2)/(-2*x^4+x^2+1) lgdogf] A238377 9.90174 [-(2*x^2+1)/(x+1)/(x-1)^3 ogf] A238379 12.8986 [-(x-1)/(x^2-36*x+1) ogf] A238379 6.31206 [-(1258*f(x)-33)*(f(x)*x^2-36*f(x)*x+f(x)+x-1) ogf] A238379 7.06350 [{a(n+2)-36*a(n+1)+a(n),a(0)=1,a(1)=35} ogf] A238379 8.85573 [-(-x^2+2*x-35)/(-x^3+37*x^2-37*x+1) lgdogf] A238383 9.34036 [(x+1)*(x^4+1)/(x-1)/(x^6+x^2-1) ogf] A238389 15.5897 [-(x+1)/(3*x^3+x^2-1) ogf] A238389 8.12653 [{a(n+3)-a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A238389 8.58307 [-(f(x)-6)*(3*f(x)*x^3+f(x)*x^2-f(x)+x+1) ogf] A238389 9.43079 [-(6*x^3+10*x^2+2*x+1)/(3*x^4+4*x^3+x^2-x-1) lgdogf] A238391 10.5517 [-(12*x^5+15*x^4+x^2+2*x+1)/(3*x^6+3*x^5+x^3+x^2-x-1) lgdogf] A238391 10.8849 [f(x)*(f(x)-1)*(3*f(x)*x^5+f(x)*x^2-f(x)+x+1) ogf] A238391 21.1035 [-(x+1)/(3*x^5+x^2-1) ogf] A238401 8.35202 [x^2*(x^29-x^28+x^9-x^8+x^2-x+1)/(x-1)^2 ogf] A238410 13.9822 [-(2*x^3+5*x^2+8*x+3)/(x^4+x^3-x-1) lgdogf] A238410 15.4880 [-2*x*(x^2+x+1)/(x+1)/(x-1)^3 ogf] A238410 40.0924 [-x^2+x+3 ogf_with_Euler_transform] A238410 8.38933 [-(7*f(x)-26)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+2*x^2-f(x)+2*x) ogf] A238411 10.0940 [-(-3*x^3-5*x^2-13*x-3)/(-x^4-x^3-x^2+x+2) lgdogf] A238411 10.0940 [-2*x*(x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A238419 13.9506 [-(-6*x^2+8*x+4)/(-x^3+2*x^2+2*x-1) lgdogf] A238419 16.5340 [x/(x+1)^2/(x^2-3*x+1)^2 ogf] A238419 4.53217 [{(-3-n)*a(n+4)+(8+2*n)*a(n+3)+(10+2*n)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=16} ogf] A238420 11.4523 [-(-16*x^4+51*x^3-66*x^2+26*x+9)/(-4*x^5+15*x^4-10*x^3-10*x^2+15*x-4) lgdogf] A238420 16.0951 [x*(4*x^2-7*x+4)/(x+1)^2/(x^2-3*x+1)^2 ogf] A238438 12.0706 [-f(x)^2*x^3+f(x)*x^3-2*f(x)*x+f(x)+x-1 ogf] A238468 19.9082 [x^6-x^3+x-1 ogf_with_Euler_transform] A238468 7.74807 [-x^2*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A238469 14.9994 [-1/24*x^4+1/720*x^6 egf]_with_Euler_transform] A238469 5.15527 [x*(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A238470 18.6199 [[x^6-x^2] ogf_with_Euler_transform] A238470 5.82046 [x^2*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A238471 7.60493 [-(14*x^3+213*x^2+332*x+66)/(7*x^4+57*x^3-13*x^2-48*x-3) lgdogf] A238471 7.60493 [-(7*x^3+64*x^2+51*x+3)/(x-1)^5 ogf] A238472 7.64315 [-(3*x^3+51*x^2+64*x+7)/(x-1)^5 ogf] A238472 7.73000 [-(6*x^3+162*x^2+358*x+99)/(3*x^4+48*x^3+13*x^2-57*x-7) lgdogf] A238473 7.63380 [-(2*x^3+114*x^2+366*x+143)/(x^4+36*x^3+36*x^2-59*x-14) lgdogf] A238473 7.63380 [-(x^3+37*x^2+73*x+14)/(x-1)^5 ogf] A238474 10.7985 [-(x^2+4*x+6)/(x^3+4*x^2+6*x+3) lgdegf] A238474 11.3296 [(x^2+3*x+3)/(x+1)^3 egf] A238474 6.00962 [-(9*f(x)-7)*(f(x)*x^3+3*f(x)*x^2+3*f(x)*x-x^2+f(x)-3*x-3) egf] A238477 14.5047 [-(-27*x-37)/(-27*x^2+22*x+5) lgdogf] A238477 16.3966 [(27*x+5)/(x-1)^2 ogf] A238477 8.38047 [(64*f(x)+1049)*(f(x)*x^2-2*f(x)*x+f(x)-27*x-5) ogf] A238477 9.08725 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=37} ogf] A238497 6.48150 [-(x^9-x^8+2*x^7-3*x^6+5*x^5-5*x^4-3*x^3-2*x^2-x-1)/(x^10-18*x^5+1) ogf] A238510 6.09836 [-(14*x^3-7*x^2-15*x+4)/(x^2+x-1)/(14*x^3-21*x^2-9*x+1) ogf] A238518 4.15888 [{-a(n+3)+9*a(n+2)+21*a(n+1)-14*a(n),a(0)=84,a(1)=588,a(2)=7056} ogf] A238518 4.19383 [-(8893*f(x)-37296)*(14*f(x)*x^3-21*f(x)*x^2-9*f(x)*x+f(x)+168*x-84) ogf] A238518 5.80309 [-(-56*x^3+84*x^2-42*x-7)/(-28*x^4+56*x^3-3*x^2-11*x+1) lgdogf] A238518 8.60459 [-84*(2*x-1)/(14*x^3-21*x^2-9*x+1) ogf] A238531 10.7236 [-(x^2-x+1)^2/(x-1)^3 ogf] A238531 12.9019 [-(x^2-3*x-1)/(-x^3+2*x^2-2*x+1) lgdogf] A238531 24.9045 [-2*x^5+2*x^2+2*x+1 ogf_with_Euler_transform] A238531 5.73416 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=5,a(4)=8} ogf] A238531 6.20842 [-(26*f(x)+31)*(f(x)*x^3+x^4-3*f(x)*x^2-2*x^3+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A238536 11.3773 [(x^2+8*x+1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A238536 5.64834 [-(32045*f(x)+3843)*(f(x)*x^4-4*f(x)*x^3-19*f(x)*x^2-4*f(x)*x-x^2+f(x)-8*x-1) ogf] A238536 6.52798 [-(-2*x^5-20*x^4+60*x^3+160*x^2+40*x+12)/(-x^6-4*x^5+50*x^4+160*x^3+50*x^2-4*x-1) lgdogf] A238537 4.58711 [(175620068*f(x)+480003)*(f(x)*x^4-28*f(x)*x^3-202*f(x)*x^2-28*f(x)*x-x^2+f(x)-14*x-1) ogf] A238537 9.11222 [(x^2+14*x+1)/(x^2-34*x+1)/(x^2+6*x+1) ogf] A238538 4.57163 [-(748157*f(x)-187808)*(256*f(x)*x^4-432*f(x)*x^3+202*f(x)*x^2-27*f(x)*x-16*x^2+f(x)+12*x-1) ogf] A238538 8.90882 [(16*x^2-12*x+1)/(x-1)/(2*x-1)/(8*x-1)/(16*x-1) ogf] A238539 4.78224 [(2244471*f(x)+1265056)*(256*f(x)*x^4-112*f(x)*x^3-138*f(x)*x^2-7*f(x)*x-16*x^2+f(x)-28*x-1) ogf] A238539 9.25395 [(16*x^2+28*x+1)/(x-1)/(8*x+1)/(2*x+1)/(16*x-1) ogf] A238540 4.34715 [-(6178398914*f(x)-29717361)*(6561*f(x)*x^4-9072*f(x)*x^3+2622*f(x)*x^2-112*f(x)*x-81*x^2+f(x)+42*x-1) ogf] A238540 8.58827 [(81*x^2-42*x+1)/(x-1)/(81*x-1)/(3*x-1)/(27*x-1) ogf] A238541 3.62685 [(1076294893*f(x)-7869418272)*(1679616*f(x)*x^4-226800*f(x)*x^3+10158*f(x)*x^2-175*f(x)*x-1296*x^2+f(x)+84*x-1) ogf] A238541 6.77012 [(1296*x^2-84*x+1)/(81*x-1)/(24*x-1)/(16*x-1)/(54*x-1) ogf] A238549 14.1816 [(2*x^2+x+1)/(x-1)/(2*x^2-1) ogf] A238549 7.58839 [(94*f(x)+637)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)-x-1) ogf] A238549 7.72389 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A238549 9.40300 [-(4*x^4+4*x^3+6*x^2-8*x-2)/(4*x^5-2*x^4-2*x^3-x^2+1) lgdogf] A238578 5.11987 [-4*f(x)^2*x^3-8*f(x)^2*x^2-4*f(x)*x^3-3*f(x)^2*x-4*f(x)*x^2-2*x^3+f(x)^2+f(x)*x-2*x^2 ogf] A238600 5.88585 [(x^4+14*x^3-74*x^2+14*x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A238601 6.49066 [-(x^4-22*x^3-181*x^2+22*x+1)/(x^2+4*x-1)/(x^2-11*x-1)/(x^2+29*x-1) ogf] A238602 5.18941 [(x^4+68*x^3-698*x^2+68*x+1)/(x^2-6*x+1)/(x^2+34*x+1)/(x^2-198*x+1) ogf] A238603 4.97013 [(4096*x^4-4352*x^3+1160*x^2-68*x+1)/(x-1)/(4*x-1)/(64*x-1)/(2*x-1)/(16*x-1)/(32*x-1) ogf] A238604 4.56826 [-x*(x^8+2*x^7+2*x^6+2*x^5+10*x^4+2*x^3+2*x^2+2*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^5 ogf] A238630 5.34727 [{-a(n+4)+13*a(n+3)-39*a(n+2)+27*a(n+1),a(0)=1,a(1)=3,a(2)=12,a(3)=75} ogf] A238630 5.76832 [(16*f(x)+101)*(27*f(x)*x^3-39*f(x)*x^2+9*x^3+13*f(x)*x+12*x^2-f(x)-10*x+1) ogf] A238630 9.89968 [-(9*x^3+12*x^2-10*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A238631 3.73117 [(5543548169+1550817520*f(x))*(4096*f(x)*x^4-5440*f(x)*x^3+2048*x^4+1428*f(x)*x^2+1460*x^3-85*f(x)*x-1067*x^2+f(x)+80*x-1) ogf] A238631 6.50290 [-(2048*x^4+1460*x^3-1067*x^2+80*x-1)/(x-1)/(4*x-1)/(64*x-1)/(16*x-1) ogf] A238632 4.12462 [-(1953125*x^5+4828125*x^4-2015125*x^3+96440*x^2-774*x+1)/(x-1)/(125*x-1)/(25*x-1)/(625*x-1)/(5*x-1) ogf] A238644 12.5938 [-x^4*(x^2-x+1)*(x+1)/(x^6+x^3-x^2+2*x-1) ogf] A238649 10.3543 [-3*(x^3-4*x-1)/(x^4-5*x^2-2*x+1) ogf] A238649 5.4404 [(1442*f(x)-2643)*(f(x)*x^4-5*f(x)*x^2+3*x^3-2*f(x)*x+f(x)-12*x-3) ogf] A238702 8.10823 [-(x+1)*(2*x^2+x+1)/(x^2+x+1)/(x-1)^5 ogf] A238705 9.66087 [-(x+1)*(2*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A238706 7.18189 [x*(x-2)*(x+1)*(2*x^2+x+1)/(x^2+x+1)/(x-1)^5 ogf] A238720 13.0117 [-2*(2*x^3-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A238720 7.49159 [-(4*f(x)+335)*(4*f(x)*x^4-5*f(x)*x^2+4*x^3+f(x)-4*x-2) ogf] A238721 5.25913 [-2*(76*x^7+4*x^6-101*x^5-20*x^4+42*x^3+14*x^2-5*x-2)/(152*x^8-210*x^6+96*x^4-17*x^2+1) ogf] A238738 10.5127 [-(2*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A238738 8.17658 [-(-10*x^4-14*x^3-11*x^2-7*x-3)/(-2*x^5-2*x^4-x^3+2*x^2+2*x+1) lgdogf] A238755 15.2278 [-4/x+4/x/(x^2-6*x+1)^(1/2) lgdogf] A238755 4.47369 [{(n^2+7*n+12)*a(n+1)+(-6*n^2-51*n-108)*a(n+2)+(n^2+10*n+9)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A238768 11.2059 [-(2*x^2+3*x+3)/(2*x^3+2*x^2+x-1) ogf] A238768 5.8424 [-(19*f(x)-29)*(2*f(x)*x^3+2*f(x)*x^2+f(x)*x+2*x^2-f(x)+3*x+3) ogf] A238768 6.04922 [{a(n+3)-a(n+2)-2*a(n+1)-2*a(n),a(0)=3,a(1)=6,a(2)=14} ogf] A238768 7.04703 [-(-4*x^4-12*x^3-22*x^2-16*x-6)/(-4*x^5-10*x^4-14*x^3-7*x^2+3) lgdogf] A238804 7.14866 [-x*(2*x^22-x^21-x^19+x^18-x^17+x^7-x^6+3*x^5+3*x^4-2*x^3-2*x^2-x-2)/(x-1)^2 ogf] A238806 10.3324 [(x^3+x^2-4*x+3)/(x-1)^4 ogf] A238806 10.8985 [-(x^3+5*x^2-10*x+8)/(x^4-5*x^2+7*x-3) lgdogf] A238806 4.05914 [{(-451*n^2-2627*n-3450)*a(n+1)+(828*n^2+3264*n+480)*a(n+2)+(-377*n^2-859*n+816)*a(n+3),a(0)=3,a(1)=8,a(2)=15} ogf] A238806 5.60276 [-(2*f(x)-45)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)+4*x-3) ogf] A238807 4.82555 [-(6*x^8-16*x^7+27*x^6-41*x^5+51*x^4-43*x^3+27*x^2-13*x+4)/(x-1)^7 ogf] A238823 7.25732 [-(x-1)*(3*x^5+2*x^4-4*x^2-x+2)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238824 5.66661 [-x*(x^6-x^5-x^4-2*x^3+2*x^2+x-1)/(x+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238825 7.03443 [x^3*(x-1)*(x^3+x^2-1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238826 7.56739 [-(x+1)*(x^3+x^2-1)*(x-1)^2/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238827 8.34310 [-x^6*(x^3+x^2-1)/(x+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238828 6.93148 [x^2*(2*x^5-2*x^2+1)/(x+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238829 7.37662 [-(x-1)*(2*x^5+x^4+x^3-2*x^2-x+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1) ogf] A238830 5.76699 [x^3*(x^5-x^2+x+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1)/(x+1)^2 ogf] A238831 7.33739 [-x^5*(2*x+1)*(x-1)*(x^2+x+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1)/(x+1)^2 ogf] A238832 7.24787 [x^2*(2*x^5+2*x^4+x^3-2*x^2+1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1)/(x+1)^2 ogf] A238833 5.92060 [-x*(x^8+2*x^7+x^6-2*x^5-2*x^4-x^3+3*x^2+x-1)/(x^7-3*x^6-x^5-x^4+4*x^3-3*x+1)/(x+1)^2 ogf] A238846 12.2777 [-(-6*x^2+10*x-4)/(-2*x^3+7*x^2-5*x+1) lgdogf] A238846 12.8718 [-(2*x-1)/(x^2-3*x+1)^2 ogf] A238846 3.99025 [{(-n-4)*a(n+4)+(19+5*n)*a(n+3)+(-24-7*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=1,a(1)=4,a(2)=13,a(3)=40} ogf] A238846 6.38439 [(167*f(x)-23)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+f(x)+2*x-1) ogf] A238906 11.9559 [-3*(x-1)/(3*x^3-6*x^2-4*x+1) ogf] A238906 5.60764 [{-a(n+3)+4*a(n+2)+6*a(n+1)-3*a(n),a(0)=3,a(1)=9,a(2)=54} ogf] A238906 5.76058 [-(439*f(x)-57)*(3*f(x)*x^3-6*f(x)*x^2-4*f(x)*x+f(x)+3*x-3) ogf] A238906 7.72760 [-(-6*x^3+15*x^2-12*x-3)/(-3*x^4+9*x^3-2*x^2-5*x+1) lgdogf] A238908 4.36421 [-54*(9*x^4-39*x^3-6*x^2+13*x-1)/(9*x^3+12*x^2-6*x-1)/(9*x^3-60*x^2+28*x-1) ogf] A238913 9.44362 [x^3*(x+1)/(x^2+x-1)/(x^4+x^3+x^2+x-1) ogf] A238914 5.90339 [x^4*(x^3-x-2)/(x+1)/(x^6-x^5+x^4-3*x^3+3*x^2-3*x+1)/(x^4+x^3+x^2+x-1) ogf] A238923 13.5218 [-(-6*x-3)/(-3*x^2-3*x+1) lgdogf] A238923 19.0896 [-12/(3*x^2+3*x-1) ogf] A238923 7.63585 [(19*f(x)-120)*(3*f(x)*x^2+3*f(x)*x-f(x)+12) ogf] A238923 7.72674 [{-a(n+2)+3*a(n+1)+3*a(n),a(0)=12,a(1)=36} ogf] A238936 8.8555 [(6*f(x)*x-f(x)+1)^2 ogf] A238976 10.3863 [-(-162*x^3+36*x^2+78*x-16)/(-81*x^4+90*x^3-10*x+1) lgdogf] A238976 13.8484 [-x*(3*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A238976 7.22526 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=0,a(1)=1,a(2)=16} ogf] A238976 7.48564 [(16*f(x)+1)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+3*x^2-f(x)+x) ogf] A238984 7.75192 [2*(8*x^8+16*x^7+7*x^6-92*x^5-31*x^4-24*x^3-16*x^2-4*x-1)/(x-1)/(x+1)/(x^2+1) ogf] A238991 3.75986 [-(16*x^8+52*x^7-80*x^6-53*x^5+85*x^4+32*x^3-50*x^2-x+7)/(2*x-1)/(x-1)/(8*x^7+38*x^6+19*x^5-29*x^4-18*x^3+12*x^2+3*x-1) ogf] A239019 13.3343 [(90*x^19-100*x^18+99*x^10+x^9+11)/(x-1)^2 ogf] A239024 11.6192 [-(4*x^3+x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A239024 7.05837 [-(4*f(x)+239)*(4*f(x)*x^4-5*f(x)*x^2+4*x^3+x^2+f(x)-3*x-1) ogf] A239025 5.24220 [-(104*x^7+28*x^6-120*x^5-31*x^4+40*x^3+10*x^2-4*x-1)/(152*x^8-210*x^6+96*x^4-17*x^2+1) ogf] A239031 7.57854 [-(-5*x^4+2*x^3-6*x^2+10*x-11)/(-5*x^5+16*x^4-24*x^3+22*x^2-13*x+4) lgdogf] A239031 7.96919 [-(5*x^4-11*x^3+13*x^2-9*x+4)/(x-1)^5 ogf] A239032 5.42709 [-(4*x^7-3*x^6-6*x^5+25*x^4-33*x^3+26*x^2-12*x+4)/(x-1)^7 ogf] A239035 26.0918 [9/(-x+1) lgdogf] A239035 55.4009 [[9] ogf_with_Euler_transform] A239035 6.82775 [{(n+1)*a(n+2)+(-9-n)*a(n+1),a(0)=0,a(1)=40320} ogf] A239035 6.95780 [-40320*x/(x-1)^9 ogf] A239040 13.4057 [-(2*x^2+x+3)/(2*x^3+2*x-1) ogf] A239040 7.47894 [(19*f(x)-77)*(2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+x+3) ogf] A239040 7.47895 [{-a(n+3)+2*a(n+2)+2*a(n),a(0)=3,a(1)=7,a(2)=16} ogf] A239040 7.89444 [-(-4*x^4-4*x^3-14*x^2-4*x-7)/(-4*x^5-2*x^4-10*x^3-5*x+3) lgdogf] A239052 31.4519 [-4/(-x-1) ogf_with_Euler_transform] A239052 99.9999 Evaluated at exp(-Pi) 3/8*exp(1/2*Pi)*Pi*2^(1/2)/GAMMA(3/4)^4 A239053 13.2094 [-(4*x^2+2*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A239053 99.9999 Evaluated at exp(-Pi) 1/4*exp(3/4*Pi)*Pi*2^(1/4)/GAMMA(3/4)^4 A239056 5.87814 [4*(2*x^6+10*x^5+16*x^4+22*x^3+15*x^2+6*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A239057 5.83585 [(2*x^2+x+3)*(5*x^4+19*x^3+16*x^2+7*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A239059 6.12936 [-(x^2+x+2)*(2*x^4-3*x^3-4*x^2-2*x-1)/(x^2+x+1)^2/(x-1)^4 ogf] A239065 4.94109 [(x^6+144*x^5+1215*x^4+2320*x^3+1215*x^2+144*x+1)/(x-1)^8 ogf] A239075 14.7777 [-(x-1)/(x^6-x^5+x^4-3*x^3+3*x^2-3*x+1)/(x+1) ogf] A239075 7.25202 [-(-6*x^7+7*x^6+6*x^4-8*x^3-1)/(-x^8+x^7+2*x^5-2*x^4+2*x^2-3*x+1) lgdogf] A239086 5.72235 [(x^12-2*x^11+2*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A239090 5.60070 [(80*x^10-8*x^9-9*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(10*x-1)/(x-1) ogf] A239094 5.91573 [x^2*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^10 ogf] A239095 21.8529 [-(-6*x^2-9*x-9)/(-x^3+1) lgdogf] A239095 45.1520 [[-x^2+9] ogf_with_Euler_transform] A239095 6.14243 [{(-5*n^2-16*n+16)*a(n+1)+(-3*n^2-90*n-114)*a(n+2)+(8*n^2+15*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=8} ogf] A239095 9.96798 [8*x^3*(x^2+x+1)/(x-1)^8 ogf] A239096 10.1874 [-(-12*x^4-57*x^3-165*x^2-99*x-27)/(-2*x^5-5*x^4-11*x^3+11*x^2+5*x+2) lgdogf] A239096 6.54006 [8*x^3*(2*x^4+7*x^3+18*x^2+7*x+2)/(x-1)^10 ogf] A239100 4.47989 [x*(2*x^16-x^15-x^14+x^13+x^12-x^11+2*x^10-x^9+x^7+x^5+x^4+x^2+1)/(x-1)/(2*x^3-1)/(x^6+x^3+1) ogf] A239106 4.899 [-f(x)^2*x^3-f(x)^2*x^2+f(x)*x^3-f(x)^2*x+f(x)*x^2-x^3+f(x)*x-x^2+f(x)-x-1 ogf] A239123 13.1964 [-(-107*x-149)/(-107*x^2+86*x+21) lgdogf] A239123 15.3958 [(107*x+21)/(x-1)^2 ogf] A239123 7.86171 [(256*f(x)+16825)*(f(x)*x^2-2*f(x)*x+f(x)-107*x-21) ogf] A239123 8.69412 [{-a(n+2)+2*a(n+1)-a(n),a(0)=21,a(1)=149} ogf] A239124 11.9232 [-(11*x+117)/(11*x^2+42*x-53) lgdogf] A239124 13.6990 [(11*x+53)/(x-1)^2 ogf] A239124 6.9984 [(128*f(x)+6905)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-53) ogf] A239124 7.57474 [{-a(n+2)+2*a(n+1)-a(n),a(0)=53,a(1)=117} ogf] A239125 5.83714 [-(512*x^10-512*x^9+32*x^6-16*x^5+4*x^3-2*x^2+2*x-1)/(2*x-1)/(2*x+1)/(x-1)/(4*x^2-2*x+1)/(64*x^6-8*x^3+1) ogf] A239128 14.9392 [-(x+63)/(x^2+30*x-31) lgdogf] A239128 16.5630 [(x+31)/(x-1)^2 ogf] A239128 8.46555 [(64*f(x)+1985)*(f(x)*x^2-2*f(x)*x+f(x)-x-31) ogf] A239128 9.07023 [{-a(n+2)+2*a(n+1)-a(n),a(0)=31,a(1)=63} ogf] A239129 14.8042 [-(x+35)/(x^2+16*x-17) lgdogf] A239129 16.4133 [(x+17)/(x-1)^2 ogf] A239129 8.48329 [(36*f(x)+613)*(f(x)*x^2-2*f(x)*x+f(x)-x-17) ogf] A239129 8.98825 [{-a(n+2)+2*a(n+1)-a(n),a(0)=17,a(1)=35} ogf] A239138 6.70939 [(80*x^9-9*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x+1)/(10*x-1)/(x-1) ogf] A239140 8.38184 [-(x^6+x^5+x^4+2*x^3+3*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x+1) ogf] A239141 10.6782 [-(x^5+x^4+x^3+2*x^2+x+1)/(x-1)/(x^2+x+1) ogf] A239150 7.37892 [-(8*x^3-4*x^2-3*x+1)/(14*x^3-9*x^2-3*x+1)/(x^2+x-1) ogf] A239156 4.71071 [-(45*x^4-105*x^3+43*x-7)/(3*x+1)/(x+1)/(x^2-3*x+1)/(9*x^2-15*x+1) ogf] A239171 13.6433 [-(-4*x-2)/(-2*x^2-2*x+1) lgdogf] A239171 19.8448 [-6/(2*x^2+2*x-1) ogf] A239171 7.89009 [(11*f(x)-42)*(2*f(x)*x^2+2*f(x)*x-f(x)+6) ogf] A239171 7.89010 [{-a(n+2)+2*a(n+1)+2*a(n),a(0)=6,a(1)=12} ogf] A239179 6.91156 [-2*(x^4-3*x^3+x+3)/(x^6-4*x^5+3*x^4+3*x^3-x^2+4*x-1) ogf] A239186 5.73117 [(10*x^6+39*x^5+61*x^4+76*x^3+49*x^2+19*x+2)/(x^2+x+1)^2/(x-1)^4 ogf] A239188 3.68705 [-4*(156*x^6-86*x^5-68*x^4+54*x^3+11*x^2-12*x-3)/(624*x^7-416*x^6-240*x^5+253*x^4+26*x^3-50*x^2-6*x+1) ogf] A239195 6.50748 [(4*x^5+5*x^4+11*x^3+8*x^2+3*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A239198 3.56432 [-14*f(x)^2*x^4+2*f(x)^2*x^3-14*f(x)^2*x^2-21*f(x)*x^3+2*f(x)^2*x+3*f(x)*x^2+7*f(x)*x-9*x^2-f(x)-6*x+1 ogf] A239201 4.86633 [{(-5*n-10)*a(n+1)+(11*n+30)*a(n+2)+(-7*n-24)*a(n+3)+(n+4)*a(n+4),a(0)=2,a(1)=5,a(2)=17,a(3)=68} ogf] A239201 7.44697 [-5*f(x)^2*x^3+11*f(x)^2*x^2-7*f(x)^2*x-5*f(x)*x^2+f(x)^2+6*f(x)*x-f(x)+x-2 ogf] A239204 10.3863 [4*x/(1+4*x)^(1/2)/(1+(1+4*x)^(1/2))^2 revogf] A239204 8.63279 [-4*f(x)^2*x^3-f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A239226 3.03489 [{(-512*n^3-3072*n^2-6016*n-3840)*a(n+1)+(48*n^3+360*n^2+904*n+760)*a(n+2)+(-n^3-9*n^2-27*n-27)*a(n+3),a(0)=1,a(1)=8,a(2)=120} ogf] A239229 13.8519 [-2*(2*x-1)/(x-1)^2 ogf] A239229 15.5834 [-2*x/(2*x^2-3*x+1) lgdogf] A239229 7.69551 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=0} ogf] A239229 9.89422 [f(x)*x^2-2*f(x)*x+f(x)+4*x-2 ogf] A239249 12.6933 [-(2*x^2+x+4)/(2*x^3+3*x-1) ogf] A239249 6.66084 [-(223*f(x)+296)*(2*f(x)*x^3+3*f(x)*x+2*x^2-f(x)+x+4) ogf] A239249 6.72746 [-(-4*x^4-4*x^3-18*x^2-4*x-13)/(-4*x^5-2*x^4-14*x^3-x^2-11*x+4) lgdogf] A239249 7.00777 [{a(n+3)-3*a(n+2)-2*a(n),a(0)=4,a(1)=13,a(2)=41} ogf] A239265 10.6039 [-(x^2+8*x-1)/(3*x^3+21*x^2-13*x+1) ogf] A239265 5.30197 [-(504921*f(x)-24217)*(3*f(x)*x^3+21*f(x)*x^2-13*f(x)*x+x^2+f(x)+8*x-1) ogf] A239265 5.80911 [{a(n+3)-13*a(n+2)+21*a(n+1)+3*a(n),a(0)=1,a(1)=5,a(2)=43} ogf] A239265 6.30234 [-(-3*x^4-48*x^3-172*x^2+44*x-5)/(-3*x^5-45*x^4-152*x^3+124*x^2-21*x+1) lgdogf] A239266 7.30340 [-(x-1)*(x^3-x^2+5*x-1)/(5*x^6-11*x^5+30*x^4-30*x^3-2*x^2+7*x-1) ogf] A239284 11.4918 [-15*f(x)*x^2-14*f(x)*x+f(x)-x ogf] A239284 13.4808 [-(-30*x-14)/(-15*x^2-14*x+1) lgdogf] A239284 17.9744 [-x/(x+1)/(15*x-1) ogf] A239284 8.44580 [{-a(n+2)+14*a(n+1)+15*a(n),a(0)=0,a(1)=1} ogf] A239285 11.4918 [-30*f(x)*x^2-13*f(x)*x+f(x)-x ogf] A239285 13.4808 [-(-60*x-13)/(-30*x^2-13*x+1) lgdogf] A239285 17.9744 [-x/(2*x+1)/(15*x-1) ogf] A239285 8.44580 [{-a(n+2)+13*a(n+1)+30*a(n),a(0)=0,a(1)=1} ogf] A239286 5.0868 [-(27*f(x)-28)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2-3*x^3+2*f(x)*x-5*x^2+f(x)-3*x-1) ogf] A239286 9.44690 [(x+1)*(3*x^2+2*x+1)/(x^2+x+1)^2 ogf] A239288 7.58213 [-x*(x^2+x+1)*(x^5-2*x^4+2*x^3-x^2-1)/(x-1)/(3*x^3-1) ogf] A239294 10.1366 [-45*f(x)*x^2-12*f(x)*x+f(x)-x ogf] A239294 11.8910 [-(-90*x-12)/(-45*x^2-12*x+1) lgdogf] A239294 15.8547 [-x/(3*x+1)/(15*x-1) ogf] A239294 7.44978 [{-a(n+2)+12*a(n+1)+45*a(n),a(0)=0,a(1)=1} ogf] A239301 12.6970 [-5/(5*x-1)-1/(5*x-1)^(6/5)*(-1)^(1/5) lgdegf] A239301 18.9046 [-5/(5*x-1)-1/(5*x-1)^(6/5)*(-1)^(1/5) lgdegf] A239305 7.23723 [(x-1)*(4*x^3-x^2-2*x+1)/(2*x-1)/(x^2+x-1)^2 ogf] A239310 4.64830 [-(x^11+x^9-6*x^8+7*x^7-6*x^6+x^5+3*x^3-9*x^2+9*x-6)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A239325 11.9798 [-(-x^2+22*x+15)/(-x^3+13*x^2-11*x-1) lgdogf] A239325 13.1391 [(x^2-12*x-1)/(x-1)^3 ogf] A239325 6.84559 [(3753*f(x)-31157)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+12*x+1) ogf] A239325 7.14583 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=41} ogf] A239333 13.2151 [-(2*x^2+x+2)/(2*x^3+2*x-1) ogf] A239333 7.14691 [-(15*f(x)-2)*(2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+x+2) ogf] A239333 7.37261 [{-a(n+3)+2*a(n+2)+2*a(n),a(0)=2,a(1)=5,a(2)=12} ogf] A239333 7.95907 [-(-4*x^4-4*x^3-8*x^2-4*x-5)/(-4*x^5-2*x^4-8*x^3-3*x+2) lgdogf] A239341 12.2382 [(4*x^6-9*x^5-9*x^4-2*x^3-7*x^2-6*x-7)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A239342 11.0124 [x*(x-1)^2*(x+1)^2/(x^2+x-1)^2 ogf] A239342 11.8222 [-(2*x^2+2)/(-x^4-x^3+2*x^2+x-1) lgdogf] A239352 11.9898 [-(-6*x^2+24*x+12)/(-2*x^3+9*x^2-6*x-1) lgdogf] A239352 4.25446 [{(-34*n^2-98*n-60)*a(n+1)+(179*n^2+749*n+744)*a(n+2)+(-145*n^2-207*n-62)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A239352 9.09574 [x^2*(2*x^2-7*x-1)/(x-1)^5 ogf] A239358 6.24891 [(x^11+6*x^9-7*x^8-x^7+22*x^6-20*x^5+4*x^3+4*x^2-8*x+6)/(x-1)^4 ogf] A239359 4.06723 [(x^16-3*x^15+9*x^14-10*x^13-10*x^12+10*x^11-4*x^10+7*x^9+2*x^8+12*x^7+12*x^6-33*x^5+13*x^4+7*x^3+5*x^2-9*x+7)/(x-1)^4 ogf] A239364 14.2759 [-2*(x-19)/(x^2-38*x+1) ogf] A239364 7.0628 [-(13680*f(x)+1)*(f(x)*x^2-38*f(x)*x+f(x)+2*x-38) ogf] A239364 7.71226 [{a(n+2)-38*a(n+1)+a(n),a(0)=38,a(1)=1442} ogf] A239364 9.45024 [-(-x^2+38*x-721)/(-x^3+57*x^2-723*x+19) lgdogf] A239365 12.9757 [-(2*x-38)/(x^2-38*x+1) lgdogf] A239365 18.5367 [12/(x^2-38*x+1) ogf] A239365 7.54402 [(721*f(x)+12)*(f(x)*x^2-38*f(x)*x+f(x)-12) ogf] A239365 7.54402 [{-a(n+2)+38*a(n+1)-a(n),a(0)=12,a(1)=456} ogf] A239367 4.44928 [-(6*f(x)-7)*(4*f(x)*x^4-13*f(x)*x^3+15*f(x)*x^2-7*f(x)*x+7*x^2+f(x)+2*x-1) ogf] A239367 7.06648 [-(56*x^3+45*x^2-34*x+5)/(28*x^4-27*x^3-7*x^2+7*x-1) lgdogf] A239367 8.45987 [-(7*x^2+2*x-1)/(4*x-1)/(x-1)^3 ogf] A239368 7.6847 [-2*f(x)^3*x^3-21*f(x)^3*x+8*f(x)^3+3*f(x)*x-6*f(x)-2 egf] A239374 11.4027 [-(-194*x^95-194*x^94+2*x+1)/(194*x^94+2*x^2-x-1) lgdogf] A239374 13.5826 [2*(x+1)*(2*x^95-1)/(2*x^95+x^2-1) ogf] A239374 70.8907 [[1] ogf_with_Euler_transform] A239406 4.65963 [-(8*x^6+42*x^5+30*x^4-23*x^3-24*x^2+8*x+5)/(8*x^7+38*x^6+19*x^5-29*x^4-18*x^3+12*x^2+3*x-1) ogf] A239426 7.02515 [-(91*x^4+936*x^3+1242*x^2+248*x+3)/(91*x^5+195*x^4-158*x^3-130*x^2+3*x-1) lgdogf] A239426 7.79792 [-(91*x^4+286*x^3+128*x^2-2*x+1)/(x-1)^5 ogf] A239438 4.97450 [(x^9-2*x^8+2*x^7-3*x^6+3*x^5-2*x^4+2*x^3-2*x^2+x-1)/(x^2+x+1)/(x-1)^3 ogf] A239449 11.9798 [-(-13*x^2-26*x-3)/(-13*x^3+13*x^2-x+1) lgdogf] A239449 14.0453 [-(13*x^2+1)/(x-1)^3 ogf] A239449 7.0837 [(8379*f(x)-36199)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+1) ogf] A239449 7.20907 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=19} ogf] A239450 10.5968 [x*(x+1)*(x-3)/(x-1)/(x^2-14*x+1) ogf] A239450 5.22050 [{-a(n+4)+15*a(n+3)-15*a(n+2)+a(n+1),a(0)=0,a(1)=3,a(2)=47,a(3)=659} ogf] A239450 5.50379 [-(78772*f(x)-15337)*(f(x)*x^3-15*f(x)*x^2-x^3+15*f(x)*x+2*x^2-f(x)+3*x) ogf] A239450 6.96067 [-(x^4-4*x^3+6*x^2+92*x-47)/(x^5-17*x^4+42*x^3+14*x^2-43*x+3) lgdogf] A239459 6.20980 [-(65610*x^12-216360*x^11+240210*x^10-90000*x^9-11*x^2-38*x-11)/(x-1)^4 ogf] A239461 4.42353 [-(656100*x^12-2163600*x^11+2402100*x^10-900000*x^9+2430*x^6-9000*x^5+11790*x^4-5760*x^3-9*x^2-40*x-11)/(x-1)^4 ogf] A239462 8.37385 [-(7290*x^11-16110*x^10+9000*x^9+x^2+8*x+11)/(x-1)^3 ogf] A239466 9.8165 [f(x)*x^2-f(x)^2-f(x)*x+f(x)+x ogf] A239488 14.5014 [-x/(-x^2-5*x-6) revogf] A239488 3.74229 [{(n+2)*a(n+1)+(-10*n-35)*a(n+2)+(n+5)*a(n+3),a(0)=6,a(1)=30,a(2)=186} ogf] A239488 9.83143 [-f(x)^2*x^2-5*f(x)*x+f(x)-6 ogf] A239492 12.5801 [x^2*(x+1)*(2*x^2-x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A239530 12.7481 [-(x-1)/(3*x-1)/(x^2-x-1) ogf] A239530 6.03256 [{-a(n+3)+2*a(n+2)+4*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=6} ogf] A239530 6.08691 [-(2857*f(x)-51)*(3*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A239530 8.34132 [-(-6*x^3+13*x^2-8*x-1)/(-3*x^4+7*x^3-2*x^2-3*x+1) lgdogf] A239531 3.70060 [-2*(x^8-x^7-x^6+7*x^5+3*x^4-2*x^3-3*x^2-x+1)/(5*x^10-5*x^9-9*x^8+40*x^7+11*x^6-28*x^5-23*x^4-x^3+13*x^2+2*x-1) ogf] A239532 5.13323 [-6*(9*x^4-21*x^3-2*x^2+7*x-1)/(9*x-1)/(x+1)/(x^2-3*x+1)/(9*x^2-3*x-1) ogf] A239549 10.9095 [-12*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A239549 13.0914 [-(-24*x-8)/(-12*x^2-8*x+1) lgdogf] A239549 17.2256 [-x/(12*x^2+8*x-1) ogf] A239549 7.98259 [{-a(n+2)+8*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A239561 3.87224 [-(4*x^13+4*x^12-5*x^11-11*x^10-3*x^9+12*x^8+16*x^7-2*x^6-13*x^5-7*x^4+3*x^3+5*x^2-1)/(2*x-1)/(x-1)/(x^2+x+1)^2/(2*x^2-1)^2 ogf] A239568 11.0666 [3*(x-2)*x/(x-1)^5 ogf] A239568 17.2916 [-(-4*x+9)/(-x^2+3*x-2) lgdogf] A239568 5.49668 [{(-4-2*n)*a(n+3)+(12+3*n)*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=6,a(2)=27} ogf] A239569 6.55957 [-x*(11*x^4-36*x^3+25*x^2+14*x+1)/(x-1)^7 ogf] A239569 7.34915 [-(33*x^4-100*x^3+17*x^2+134*x+21)/(11*x^5-47*x^4+61*x^3-11*x^2-13*x-1) lgdogf] A239570 4.82510 [x*(38*x^6-156*x^5+153*x^4+113*x^3-147*x^2-105*x-1)/(x-1)^9 ogf] A239571 3.42175 [-3*x^2*(40*x^8-185*x^7+198*x^6+213*x^5-243*x^4-638*x^3+687*x^2+234*x+9)/(x-1)^11 ogf] A239573 4.62786 [-x*(2*x^9+x^8-8*x^7-9*x^6+3*x^5+29*x^4+24*x^3+14*x^2+3*x+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A239576 4.57408 [-x*(x^13-x^12-19*x^11+32*x^10+68*x^9-69*x^8-302*x^7+634*x^6+1945*x^5+2547*x^4+1393*x^3+438*x^2+50*x+3)/(x+1)^5/(x-1)^9 ogf] A239577 15.1282 [1/(3*x-1)/(x-1)/(3*x^2+1) ogf] A239577 6.20009 [(305*f(x)+153)*(9*f(x)*x^4-12*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A239577 9.00487 [-(36*x^3-36*x^2+12*x-4)/(9*x^4-12*x^3+6*x^2-4*x+1) lgdogf] A239592 8.12027 [-(-4*x^4-18*x^3-27*x^2-8*x-3)/(-4*x^5+3*x^4-7*x^3+10*x^2-3*x+1) lgdogf] A239592 8.46218 [-(4*x^4+x^3+8*x^2-2*x+1)/(x-1)^5 ogf] A239594 11.5800 [(x^5-x^4-x^3-3*x-4)/(x^5+x^2-1) ogf] A239607 7.56627 [-(x^4+92*x^3+294*x^2+92*x+1)/(x^5+43*x^4+10*x^3-58*x^2+5*x-1) lgdogf] A239607 8.03429 [-(x^4+44*x^3+54*x^2-4*x+1)/(x-1)^5 ogf] A239608 5.66396 [-x*(x+1)*(x^4+668*x^3+4422*x^2+668*x+1)/(x-1)^7 ogf] A239609 3.69964 [-(x^8+9400*x^7+248284*x^6+1032520*x^5+1032646*x^4+248200*x^3+9436*x^2-8*x+1)/(x-1)^9 ogf] A239628 8.00651 [-(32*x^8+16*x^7+8*x^6+12*x^5+4*x^4+6*x^3+2*x^2+9*x+1)/(2*x^2-1)/(2*x^2+1)/(2*x^2+2*x+1)/(2*x^2-2*x+1) ogf] A239632 10.7506 [-x*(x+1)*(2*x^2-2*x-1)/(2*x^2-1)^2 ogf] A239632 6.12882 [{(-2*n-6)*a(n)+(n+1)*a(n+2),a(0)=0,a(1)=1,a(2)=3} ogf] A239632 8.09610 [-(-4*x^4+12*x^2+8*x+3)/(-4*x^5+8*x^3+2*x^2-3*x-1) lgdogf] A239632 9.29515 [-(28*f(x)+19)*(4*f(x)*x^4+2*x^4-4*f(x)*x^2-3*x^2+f(x)-x) ogf] A239650 4.63656 [-2*(4*x^6+19*x^5+8*x^4-13*x^3-8*x^2+4*x+2)/(8*x^7+38*x^6+19*x^5-29*x^4-18*x^3+12*x^2+3*x-1) ogf] A239667 6.41764 [-(9*x^6+32*x^5+50*x^4+58*x^3+36*x^2+14*x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A239670 11.4964 [-(162*x-82)/(81*x^2-82*x+1) lgdogf] A239670 17.4089 [1/(81*x-1)/(x-1) ogf] A239670 7.00358 [(3281*f(x)+81)*(81*f(x)*x^2-82*f(x)*x+f(x)-1) ogf] A239670 7.16836 [{-a(n+2)+82*a(n+1)-81*a(n),a(0)=1,a(1)=82} ogf] A239678 11.1813 [(4*x^4+3*x^3-4*x^2-5*x+3)/(2*x-1)/(x-1) ogf] A239678 6.12310 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=3,a(1)=4,a(2)=2,a(3)=1,a(4)=3} ogf] A239678 6.76764 [(192*f(x)-1241)*(-4*x^4+2*f(x)*x^2-3*x^3-3*f(x)*x+4*x^2+f(x)+5*x-3) ogf] A239679 12.2688 [-(38*x^2-36*x+7)/(x-1)/(2*x-1)/(4*x-1) ogf] A239679 6.43608 [-(87*f(x)+9677)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+38*x^2-f(x)-36*x+7) ogf] A239679 6.82784 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=7,a(1)=13,a(2)=31} ogf] A239679 6.88774 [-(-304*x^4+576*x^3-406*x^2+120*x-13)/(-304*x^5+820*x^4-826*x^3+388*x^2-85*x+7) lgdogf] A239739 10.9651 [-256*f(x)*x^2+32*f(x)*x-f(x)+64*x ogf] A239739 16.8487 [64*x/(16*x-1)^2 ogf] A239739 23.0266 [32/(-16*x+1) lgdogf] A239739 8.12704 [{a(n+2)-32*a(n+1)+256*a(n),a(0)=0,a(1)=64} ogf] A239745 10.3510 [x*(10*x^2-20*x+9)/(x-1)^3/(2*x-1) ogf] A239745 5.31729 [-(5183*f(x)-95794)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-10*x^3-5*f(x)*x+20*x^2+f(x)-9*x) ogf] A239745 8.72276 [-(-40*x^3+110*x^2-92*x+25)/(-20*x^4+70*x^3-88*x^2+47*x-9) lgdogf] A239767 8.33774 [-(-2*x^4-10*x^3-26*x^2-16*x-6)/(-x^5-3*x^4-4*x^3+2*x^2+5*x+1) lgdogf] A239767 9.27456 [-x*(x^3+3*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A239791 11.4648 [(x-1)*(x^2+1)/(x^5-x^4+2*x^3-x^2+2*x-1) ogf] A239794 11.4744 [-(15*x^2-32*x-13)/(15*x^3-46*x^2+37*x-6) lgdogf] A239794 12.7493 [(15*x^2-31*x+6)/(x-1)^3 ogf] A239794 6.47747 [(226300*f(x)-7941369)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+31*x-6) ogf] A239794 7.04566 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-6,a(1)=13,a(2)=42} ogf] A239796 13.6214 [-(-15*x^2+40*x+17)/(-15*x^3+50*x^2-41*x+6) lgdogf] A239796 15.1349 [(15*x^2-35*x+6)/(x-1)^3 ogf] A239796 7.62797 [(711676*f(x)-23139729)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-15*x^2-f(x)+35*x-6) ogf] A239796 8.36400 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-6,a(1)=17,a(2)=54} ogf] A239812 11.8763 [-(2*x^2+3*x+2)/(2*x^3+2*x^2+x-1) ogf] A239812 6.41112 [{a(n+3)-a(n+2)-2*a(n+1)-2*a(n),a(0)=2,a(1)=5,a(2)=11} ogf] A239812 6.52662 [(7*f(x)-2)*(2*f(x)*x^3+2*f(x)*x^2+f(x)*x+2*x^2-f(x)+3*x+2) ogf] A239812 7.17283 [-(-4*x^4-12*x^3-16*x^2-12*x-5)/(-4*x^5-10*x^4-12*x^3-5*x^2+x+2) lgdogf] A239831 5.48427 [(x^8-9*x^7-14*x^6-14*x^5-14*x^4-14*x^3-15*x^2-14*x-5)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A239840 4.33918 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A239844 7.67951 [(2*x^4-4*x^3+4*x-3)*(x^2-x+1)/(x-1)^5 ogf] A239851 13.1760 [-2*(x^2+x+1)/(2*x^3+x^2-1) ogf] A239851 7.74258 [-(3*f(x)-4)*(2*f(x)*x^3+f(x)*x^2+2*x^2-f(x)+2*x+2) ogf] A239851 7.98968 [{a(n+3)-a(n+1)-2*a(n),a(0)=2,a(1)=2,a(2)=4} ogf] A239851 8.53443 [-(-2*x^4-4*x^3-7*x^2-4*x-1)/(-2*x^5-3*x^4-3*x^3+x+1) lgdogf] A239852 9.36571 [-(x^8-2*x^6-x^5+x^3+3*x^2+3*x+2)/(x^5+x^2-1) ogf] A239905 8.83316 [(x^12-x^11+x^9-x^8+x^4-x^3-x^2-x-1)/(x^12+2*x^4-1) ogf] A239909 12.2559 [-(x-1)*(x^2+x+1)/(x^4-x^3-x^2-x+1) ogf] A239909 6.37305 [(3*f(x)-1)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3-f(x)*x+f(x)-1) ogf] A239917 99.9999 Evaluated at exp(-Pi) 1/2*Pi^4/GAMMA(11/12)^8/GAMMA(7/12)^8 A239980 3.70079 [-(4*x^12-6*x^10-6*x^9+6*x^8+4*x^7-4*x^6+x^4-4*x^2-3*x-1)/(6*x^13-5*x^11-10*x^10-2*x^9-4*x^8-x^7+15*x^6+5*x^5+x^4-10*x^3-2*x^2+1) ogf] A239987 6.30089 [-(x^7+x^6-8*x^5+13*x^4-13*x^3+13*x^2-9*x+3)/(x-1)^5 ogf] A240001 11.4074 [(3*x^2-7*x+5)/(x-1)^4 ogf] A240001 11.5752 [-(-6*x^2+15*x-13)/(-3*x^3+10*x^2-12*x+5) lgdogf] A240001 3.85839 [{(-5*n-20)*a(n+4)+(49+12*n)*a(n+3)+(-35-10*n)*a(n+2)+(9+3*n)*a(n+1),a(0)=5,a(1)=13,a(2)=25,a(3)=42} ogf] A240001 5.91813 [(166*f(x)-289)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+7*x-5) ogf] A240022 6.02734 [-(70*f(x)+443)*(100*f(x)*x^4-100*x^4-20*f(x)*x^2-70*x^2+f(x)-18*x-10) ogf] A240022 6.13308 [{(10*n+30)*a(n)+(-n-1)*a(n+2),a(0)=10,a(1)=18,a(2)=270} ogf] A240022 6.99171 [-(900*x^3+270*x^2+270*x+9)/(500*x^6+300*x^4+90*x^3+15*x^2-9*x-5) lgdogf] A240022 9.57768 [2*(50*x^4+35*x^2+9*x+5)/(10*x^2-1)^2 ogf] A240034 8.29582 [-2*(x^6+x^5+5*x^4+4*x^3-3*x-2)/(x^6+3*x^4-4*x^2+1) ogf] A240056 15.4848 [-(-x^3+2*x^2-x+1)/(x-1) ogf_with_Euler_transform] A240058 14.1408 [-(x^4-2*x^3+x^2-x)/(-x+1) ogf_with_Euler_transform] A240059 14.1172 [-(-x^4+2*x^3-x^2+1)/(x-1) ogf_with_Euler_transform] A240063 13.4035 [-(-x^5+x^4+x^2-x+1)/(x-1) ogf_with_Euler_transform] A240064 13.5317 [-(-x^5+x^4+x^3-x+1)/(x-1) ogf_with_Euler_transform] A240065 12.3283 [-(x^5-x^4-x^3+x^2-1)/(-x+1) ogf_with_Euler_transform] A240115 5.81267 [-(x^15-x^13-x^12+2*x^10+x^7+x^5+2*x+1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A240134 13.9655 [x*(x^4-4*x-1)/(x-1)^3/(x+1)^3 ogf] A240134 9.93423 [-(2*x^5+4*x^3-20*x^2-6*x-4)/(x^6-x^4-4*x^3-x^2+4*x+1) lgdogf] A240137 3.86155 [{(-10513*n^2-42493*n-42934)*a(n+1)+(15986*n^2+40697*n+92786)*a(n+2)+(-5473*n^2-18364*n-14836)*a(n+3),a(0)=0,a(1)=1,a(2)=35} ogf] A240137 8.67811 [-x*(8*x^3+51*x^2+30*x+1)/(x-1)^5 ogf] A240137 9.06813 [-(16*x^3+177*x^2+222*x+35)/(8*x^4+43*x^3-21*x^2-29*x-1) lgdogf] A240144 9.49768 [-(x^20+x^18-x^17+x)/(x^21-x^19+x^2-1) ogf_with_Euler_transform] A240145 9.63668 [-(x^22+x^20-x^19+x)/(x^23-x^21+x^2-1) ogf_with_Euler_transform] A240146 9.43695 [-(-x^24-x^22+x^21-x)/(-x^25+x^23-x^2+1) ogf_with_Euler_transform] A240165 8.04958 [(1/(2*x+1)*exp(-2*x)+1)*(2*exp(2*x)*x+exp(2*x)) lgdegf] A240172 4.68806 [{(n+3)*a(n+1)+(2*n+7)*a(n+2)+(n+2)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=10} ogf] A240193 4.34643 [-(72*x^8-52*x^7-25*x^6+40*x^5-50*x^4+33*x^3+10*x^2-15*x+3)/(2*x-1)/(x-1)/(8*x^4-4*x^3-7*x^2+6*x-1) ogf] A240277 12.6477 [(4*x^4-5*x^3-x+1)/(2*x-1)/(x-1) ogf] A240277 7.01373 [-(832*f(x)-7253)*(-4*x^4+2*f(x)*x^2+5*x^3-3*f(x)*x+f(x)+x-1) ogf] A240285 5.77697 [-(x-1)*(8*x^6+7*x^5-14*x^4-15*x^3+5*x^2+10*x+2)/(16*x^8-31*x^6+24*x^4-12*x^2+1) ogf] A240290 5.20802 [2*(x-1)*(8*x^7+3*x^6-16*x^5-4*x^4+15*x^3+7*x^2-5*x-2)/(16*x^8-31*x^6+24*x^4-12*x^2+1) ogf] A240316 5.72882 [-2*(4*x^7+6*x^6-6*x^5-8*x^4+2*x^3+3*x^2-2*x-1)/(16*x^8-31*x^6+24*x^4-12*x^2+1) ogf] A240333 5.51835 [(2*x^7-x^6-6*x^5+14*x^4-18*x^3+18*x^2-9*x+4)/(x-1)^6 ogf] A240342 4.36778 [(4*f(x)+49)*(8*f(x)*x^4-4*f(x)*x^3-7*f(x)*x^2+8*x^3+6*f(x)*x-2*x^2-f(x)-6*x+4) ogf] A240342 7.82796 [-2*(x+1)*(4*x^2-5*x+2)/(8*x^4-4*x^3-7*x^2+6*x-1) ogf] A240382 5.66161 [-2*(x-1)*(10*x^6+9*x^5-10*x^4-13*x^3+2*x^2+7*x+2)/(16*x^8-31*x^6+24*x^4-12*x^2+1) ogf] A240389 6.67436 [-(8*x^7-x^6-13*x^5+10*x^3-5*x-1)/(16*x^8-31*x^6+24*x^4-12*x^2+1) ogf] A240395 5.48236 [(6*x^9-20*x^8+29*x^7-29*x^6+26*x^5-18*x^4-2*x^3+8*x^2-2*x-2)/(x-1)^5 ogf] A240428 6.19332 [-2*(x-1)*(4*x^6+2*x^5-5*x^4-3*x^3+4*x^2+4*x+1)/(16*x^8-31*x^6+24*x^4-12*x^2+1) ogf] A240434 11.2217 [-4*x*(x-1)/(2*x-1)^4 ogf] A240434 15.8974 [-(-6*x+7)/(-2*x^2+3*x-1) lgdogf] A240434 5.05347 [{(-2-n)*a(n+3)+(10+3*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=4,a(2)=28} ogf] A240434 5.825 [(70*f(x)+251)*(16*f(x)*x^4-32*f(x)*x^3+24*f(x)*x^2-8*f(x)*x+4*x^2+f(x)-4*x) ogf] A240437 10.8382 [25*f(x)*x^3-5*f(x)*x^2-5*f(x)*x+f(x)-20*x ogf] A240437 12.7794 [-(75*x^2-10*x-5)/(25*x^3-5*x^2-5*x+1) lgdogf] A240437 18.2175 [20*x/(5*x-1)/(5*x^2-1) ogf] A240437 7.44541 [{-a(n+3)+5*a(n+2)+5*a(n+1)-25*a(n),a(0)=0,a(1)=20,a(2)=100} ogf] A240438 10.5854 [-x*(x+1)*(2*x+1)/(x^2+x+1)/(x-1)^3 ogf] A240438 8.66080 [-(6*x^4+16*x^3+15*x^2+12*x+5)/(2*x^5+3*x^4+x^3-2*x^2-3*x-1) lgdogf] A240440 27.8472 [7/(-x+1) lgdogf] A240440 59.4508 [[7] ogf_with_Euler_transform] A240440 7.28712 [{n*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=0,a(2)=15} ogf] A240440 9.50880 [-15*x^2/(x-1)^7 ogf] A240441 4.92224 [-3*x^2*(x^4+31*x^3+76*x^2+31*x+1)/(x+1)^2/(x-1)^9 ogf] A240445 4.02645 [-48*(x+1)*(2*x^4+62*x^3+187*x^2+62*x+2)/(x-1)^11 ogf] A240461 4.15692 [-(916*f(x)+589)*(8*f(x)*x^4-4*f(x)*x^3-7*f(x)*x^2+8*x^3+6*f(x)*x-2*x^2-f(x)-9*x+5) ogf] A240461 7.82796 [-(8*x^3-2*x^2-9*x+5)/(8*x^4-4*x^3-7*x^2+6*x-1) ogf] A240478 5.17048 [(12033*f(x)+10522)*(2*f(x)*x^4-f(x)*x^2+2*x^3-3*f(x)*x+x^2+f(x)-2*x-2) ogf] A240478 9.51670 [-(2*x^3+x^2-2*x-2)/(2*x^4-x^2-3*x+1) ogf] A240479 5.84487 [-(x+1)*(x^4-2*x^3-5*x^2-5*x-4)/(x^6-2*x^5-6*x^4-2*x^3-3*x^2-4*x+1) ogf] A240506 10.3524 [-(6*x^3-3*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A240506 4.78990 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=21} ogf] A240506 6.51953 [(118*f(x)-27)*(6*f(x)*x^3-11*f(x)*x^2+6*x^3+6*f(x)*x-f(x)-3*x+1) ogf] A240513 7.82586 [-(x-2)*(2*x^3+x^2-1)/(x-1)/(x^4-x^3-2*x^2-x+1) ogf] A240525 12.1602 [-(28*x^2+x-5)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A240525 6.33134 [-(77*f(x)+6947)*(16*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+28*x^2+f(x)+x-5) ogf] A240525 6.66168 [{a(n+3)-4*a(n+2)-4*a(n+1)+16*a(n),a(0)=5,a(1)=19,a(2)=68} ogf] A240525 6.96448 [-(-448*x^4-32*x^3+132*x^2+16*x-19)/(-448*x^5+96*x^4+196*x^3-44*x^2-21*x+5) lgdogf] A240526 12.1602 [-(44*x^2+5*x-7)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A240526 6.3841 [(6115*f(x)-24031)*(16*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+44*x^2+f(x)+5*x-7) ogf] A240526 6.66168 [{-a(n+3)+4*a(n+2)+4*a(n+1)-16*a(n),a(0)=7,a(1)=23,a(2)=76} ogf] A240526 6.90174 [-(704*x^4+160*x^3-180*x^2-32*x+23)/(704*x^5-96*x^4-308*x^3+52*x^2+33*x-7) lgdogf] A240530 15.2547 [-4*f(x)^2*x+f(x)^2-16 ogf] A240530 25.0613 [2/(-4*x+1) lgdogf] A240530 6.74727 [{(-n-2)*a(n+2)+(6+4*n)*a(n+1),a(0)=4,a(1)=8} ogf] A240530 68.8840 [2/(-4*x+1) lgdogf] A240558 5.98524 [-64*f(x)^2*x^4+4*f(x)^2*x^2-32*f(x)*x^3+16*f(x)*x^2+2*f(x)*x-20*x^2-f(x)+1 ogf] A240607 11.0376 [-(4*x^3+3*x^2+4*x)/(x^4+x^3+2*x^2-1) lgdogf] A240607 16.2184 [-x^3/(x^4+x^3+2*x^2-1) ogf] A240607 9.81117 [-f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+f(x) ogf] A240631 4.15162 [-(x^7+2*x^6+3*x^5-5*x^4-13*x^3-13*x^2-9*x-4)/(x^8+x^7+x^6-6*x^5-7*x^4-2*x^3-4*x^2-4*x+1) ogf] A240637 6.02267 [(3*x^5+2*x^4-13*x^3-13*x^2-x+1)/(x-1)/(x+1)/(9*x^2+6*x-1) ogf] A240638 4.10160 [-(170*x^5+154*x^4+97*x^3+24*x^2+x-2)/(x-1)/(x^2+x+1)/(81*x^3+54*x^2+14*x-1) ogf] A240688 4.66621 [-4*f(x)^2*x^3-8*f(x)^2*x^2-3*f(x)^2*x+4*f(x)*x^2+f(x)^2+4*f(x)*x-f(x)-2*x ogf] A240701 3.62258 [-(72*x^6-11*x^5-52*x^4-59*x^3-24*x^2-3*x+2)/(x-1)/(45*x^4-21*x^3-40*x^2-15*x+1)/(x^2+x+1) ogf] A240707 5.85497 [(x^2+3*x+1)*(3*x^4+3*x^3+6*x^2+3*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A240711 5.84046 [(7*x^6+27*x^5+43*x^4+52*x^3+33*x^2+13*x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A240714 8.48408 [[2] ogf_with_Euler_transform] A240721 7.74387 [8*f(x)^2*x^3+7*f(x)^2*x^2-f(x)^2*x+8*f(x)*x-f(x)+1 ogf] A240778 4.77257 [-(2*x^4-7*x^3+6*x^2-3*x+1)*(x+1)^2/(x-1)/(x^6-2*x^5-6*x^4-2*x^3-3*x^2-4*x+1) ogf] A240784 8.12113 [-(4*x^4+x^3+6*x^2-3*x-4)/(x-1)/(x+1)/(x^3+2*x-1) ogf] A240805 11.2271 [1/(2*x-1)/(x+1)^2/(x-1)^3/(2*x^2+x+1)^3 ogf] A240805 13.9580 [-(-48*x^4+24*x^2)/(-4*x^5+3*x^3+x^2+x-1) lgdogf] A240806 12.1601 [-(-126*x^4-9*x^3+3*x^2+9*x+3)/(-9*x^5+7*x^3+x^2+2*x-1) lgdogf] A240806 7.93051 [-1/(3*x-1)/(3*x^2+x+1)/(x+1)^5/(x-1)^6 ogf] A240826 6.18837 [-x*(35*x^4+724*x^3+1722*x^2+724*x+35)/(x-1)^7 ogf] A240828 14.0653 [2*x^2*(x^2+x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A240828 24.9734 [1+x-1/2*x^2+1/6*x^3 egf]_with_Euler_transform] A240828 9.87279 [-(4*x^5+5*x^4+8*x^3+2*x^2+4*x+1)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A240831 6.23213 [(6*x^38-6*x^37+5*x^13-x^12-x^11-x^10-x^9-x^8+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A240836 13.6472 [2*(2*x-1)/(x-1)/(x^2-7*x+1) ogf] A240836 6.34476 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=2,a(1)=12,a(2)=80} ogf] A240836 6.45807 [-(2265*f(x)+334)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-f(x)-4*x+2) ogf] A240836 8.50945 [-(4*x^3-19*x^2+16*x-6)/(2*x^4-17*x^3+24*x^2-10*x+1) lgdogf] A240846 12.8471 [x*(12*x+1)/(12*x-1)/(x-1) ogf] A240846 6.42354 [{a(n+3)-13*a(n+2)+12*a(n+1),a(0)=0,a(1)=1,a(2)=25} ogf] A240846 7.95296 [f(x)*(12*f(x)*x^2-13*f(x)*x-12*x^2+f(x)-x) ogf] A240846 9.27844 [-(-144*x^2-24*x+25)/(-144*x^3+144*x^2+x-1) lgdogf] A240847 5.24011 [f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x) ogf] A240847 8.12596 [-x^2*(2*x-1)/(x^2+x-1)^2 ogf] A240847 9.34485 [-(-6*x^2+2*x)/(-2*x^3-x^2+3*x-1) lgdogf] A240848 5.99395 [-(x^20+7*x^10-2*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A240871 5.25274 [-x^5*(x^7+2*x^6+3*x^5+3*x^4+3*x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A240876 15.9513 [-(x+23)/(x^2-1) lgdogf] A240876 20.5089 [(x+1)^11/(x-1)^12 ogf] A240876 30.8133 [[23-11*x] ogf_with_Euler_transform] A240876 5.20152 [{(-n-3)*a(n+3)+23*a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=23,a(2)=265} ogf] A240879 11.2713 [(-(4*x+1)/(-1+4*x)^(1/2)-I)/(-1+4*x)^(1/2)/x lgdogf] A240879 4.63374 [{(-16*n^2-72*n-80)*a(n+1)+(8*n^2+34*n+30)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=1,a(1)=6,a(2)=31} ogf] A240879 4.73905 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2-32*f(x)*x^3+16*f(x)^2*x+32*f(x)*x^2-f(x)^2-10*f(x)*x-x^2+f(x) ogf] A240880 13.3007 [-1/8+1/8*(48*x^2+16*x+1)^(1/2) revogf] A240880 15.9609 [4*x+1-f(x)-3*f(x)^2*x ogf] A240880 3.27963 [{(384*n^2+384*n)*a(n)+(144*n^2+432*n+288)*a(n+1)+(20*n^2+98*n+114)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=1,a(2)=-6} ogf] A240881 8.15228 [3*f(x)^2*x^3+3*f(x)^2*x-f(x)*x^2-f(x)*x-f(x)+1 ogf] A240888 4.25786 [-(158533*f(x)-32213)*(4*f(x)*x^4+14*f(x)*x^3+8*f(x)*x^2+2*x^3+3*f(x)*x+8*x^2-f(x)+5*x+2) ogf] A240888 8.24277 [-(2*x^3+8*x^2+5*x+2)/(4*x^4+14*x^3+8*x^2+3*x-1) ogf] A240916 4.56459 [{a(n+5)-9*a(n+4)+20*a(n+3)-12*a(n+2),a(0)=0,a(1)=0,a(2)=3,a(3)=24,a(4)=158} ogf] A240916 5.16151 [(123688*f(x)+19125)*(12*f(x)*x^3+2*x^4-20*f(x)*x^2-3*x^3+9*f(x)*x+3*x^2-f(x)) ogf] A240916 9.45063 [-x^2*(2*x^2-3*x+3)/(x-1)/(6*x-1)/(2*x-1) ogf] A240917 10.7552 [-2*x*(3*x+5)/(x-1)/(3*x-1)/(9*x-1) ogf] A240917 5.51315 [(22648*f(x)-16637)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+6*x^2-f(x)+10*x) ogf] A240917 5.60739 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=0,a(1)=10,a(2)=136} ogf] A240917 7.13114 [-(-162*x^3-288*x^2+390*x-68)/(-81*x^4-18*x^3+156*x^2-62*x+5) lgdogf] A240926 11.7855 [-(5*x^2-11*x+4)/(x-1)/(x^2-3*x+1) ogf] A240926 6.08919 [-(235*f(x)+941)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+5*x^2-f(x)-11*x+4) ogf] A240926 6.52414 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=9} ogf] A240926 7.09421 [-(-5*x^4+22*x^3-36*x^2+22*x-5)/(-5*x^5+31*x^4-68*x^3+65*x^2-27*x+4) lgdogf] A240928 5.34422 [(x^5+83*x^4+673*x^3+1154*x^2+470*x+35)/(x-1)^8 ogf] A240929 3.89512 [(x^7+326*x^6+7942*x^5+42341*x^4+67030*x^3+33638*x^2+4786*x+126)/(x-1)^10 ogf] A240930 5.32258 [2*x^2*(x^5+88*x^4+718*x^3+1208*x^2+473*x+32)/(x-1)^8 ogf] A240931 4.50549 [-2*x^2*(x^6+183*x^5+2682*x^4+8422*x^3+7197*x^2+1611*x+64)/(x-1)^9 ogf] A240932 3.70514 [2*x^2*(x^7+374*x^6+9327*x^5+49780*x^4+78095*x^3+38454*x^2+5281*x+128)/(x-1)^10 ogf] A240933 5.88508 [-2*x^2*(x^8+757*x^7+30973*x^6+264409*x^5+689155*x^4+621199*x^3+190783*x^2+16867*x+256)/(x-1)^11 ogf] A240948 99.9999 Evaluated at exp(-Pi) 1/128*exp(-5/4*Pi)*2^(7/10)*GAMMA(3/5)^4*GAMMA(7/10)^2*(5+5^(1/2))^2*(5^(1/2)+1)^4/Pi^2/GAMMA(9/10)^2 A240951 16.1205 [(x-1)*(2*x^2+x+1)/(2*x-1) ogf] A240951 8.22818 [{a(n+4)-2*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=8} ogf] A240951 9.07936 [-(188*f(x)+253)*(-2*x^3+2*f(x)*x+x^2-f(x)+1) ogf] A240951 9.87381 [-(8*x^3-8*x^2+2*x+2)/(-4*x^4+4*x^3-x^2+2*x-1) lgdogf] A240956 7.96731 [(ln(x-1)+ln(x+1)-I*Pi)*(1-1/x) revegf] A241023 13.2797 [-(4*x-4)/(x^3-5*x^2-5*x+1) lgdogf] A241023 28.1135 [-(4*x-4)/(x^3-5*x^2-5*x+1) lgdogf] A241023 4.37449 [{(n+3)*a(n+3)+(-14-5*n)*a(n+2)+(-1-5*n)*a(n+1)+n*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A241023 9.91553 [-f(x)^2*x^2+6*f(x)^2*x-f(x)^2+x^2+2*x+1 ogf] A241029 3.57085 [(3304291725*f(x)+36441753004)*(484*f(x)*x^4-792*f(x)*x^3+343*f(x)*x^2+792*x^3-36*f(x)*x-686*x^2+f(x)+108*x-4) ogf] A241029 6.70527 [-2*(396*x^3-343*x^2+54*x-2)/(x-1)/(22*x-1)/(2*x-1)/(11*x-1) ogf] A241030 3.57794 [(196687012500*f(x)+1989840628427)*(676*f(x)*x^4-1092*f(x)*x^3+457*f(x)*x^2+1092*x^3-42*f(x)*x-914*x^2+f(x)+126*x-4) ogf] A241030 6.80586 [-2*(546*x^3-457*x^2+63*x-2)/(x-1)/(26*x-1)/(13*x-1)/(2*x-1) ogf] A241031 3.86250 [-2*(21952*x^5-29204*x^4+12360*x^3-2086*x^2+140*x-3)/(x-1)/(28*x-1)/(4*x-1)/(14*x-1)/(2*x-1)/(7*x-1) ogf] A241038 4.86473 [{a(n+3)-13*a(n+2)+39*a(n+1)-27*a(n),a(0)=0,a(1)=1,a(2)=28} ogf] A241038 4.99503 [(28*f(x)+1)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x+15*x^2-f(x)+x) ogf] A241038 6.08091 [-(810*x^3-504*x^2-78*x+28)/(405*x^4-558*x^3+156*x^2-2*x-1) lgdogf] A241038 9.17121 [-x*(15*x+1)/(x-1)/(3*x-1)/(9*x-1) ogf] A241050 4.85561 [-(2*x^14+x^13-x^12-2*x^11+3*x^9+4*x^8+x^7-2*x^6+3*x^4-2*x^2+3*x+3)/(x+1)/(x^10-x^9+x^8-x^6+x^5-x^3+x^2+x-1) ogf] A241073 5.91104 [-(x+1)*(4*x^5-4*x^4-4*x^3+x^2+3*x-1)/(x-1)/(8*x^5-6*x^4-7*x^3-3*x^2+5*x-1) ogf] A241084 6.20750 [-(5*x^6+17*x^5+25*x^4+30*x^3+19*x^2+7*x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A241103 4.83098 [-(3368*f(x)-223)*(16*f(x)*x^3+8*f(x)*x^2+3*f(x)*x+9*x^2-f(x)+5*x+2) ogf] A241103 5.08303 [{a(n+3)-3*a(n+2)-8*a(n+1)-16*a(n),a(0)=2,a(1)=11,a(2)=58} ogf] A241103 9.42819 [-(9*x^2+5*x+2)/(16*x^3+8*x^2+3*x-1) ogf] A241121 12.7771 [-(f(x)*x-f(x)+1)^3 ogf] A241125 6.02934 [(2*x-1)*(x-1)*(2*x^3-x^2-3*x-2)/(8*x^5-10*x^4-9*x^3+2*x^2+6*x-1) ogf] A241133 6.18529 [(x-1)*(4*x^4-2*x^3-6*x^2-x+1)/(2*x-1)/(4*x^4-x^3-6*x^2-2*x+1) ogf] A241158 47.5357 [-x^10+x^9+2 ogf_with_Euler_transform] A241170 11.7271 [-(-6*x^2+16*x-25)/(-2*x^3+7*x^2-11*x+6) lgdogf] A241170 3.85156 [{(-6*n-24)*a(n+4)+(58+11*n)*a(n+3)+(-30-7*n)*a(n+2)+(8+2*n)*a(n+1),a(0)=6,a(1)=25,a(2)=67,a(3)=145} ogf] A241170 9.94581 [-(2*x^2-5*x+6)/(x-1)^5 ogf] A241172 3.00607 [{(-1296*n^3-12312*n^2-37584*n-36288)*a(n+1)+(-50*n^3-675*n^2-2437*n-4962)*a(n+2)+(50+25*n)*a(n+3),a(0)=0,a(1)=1,a(2)=126} ogf] A241199 8.77116 [-(6*x^4-3*x^3-16*x^2+5*x+14)/(x+1)^2/(x-1)^3 ogf] A241200 8.87870 [(x^2+x+1)*(x^2-2)/(x+1)^2/(x-1)^3 ogf] A241204 10.7784 [-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)+4*x+1 ogf] A241204 14.4391 [(2*x+1)^2/(2*x-1)^2 ogf] A241204 23.9147 [8/(-4*x^2+1) lgdogf] A241204 7.42981 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=8,a(2)=32} ogf] A241205 12.1356 [-(6*x^3+38*x^2+50*x+14)/(x^4+4*x^3-4*x-1) lgdogf] A241205 5.20097 [{(n^2+8*n+15)*a(n+1)+(-2*n^2-12*n-42)*a(n+2)+(n^2+4*n+3)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A241205 6.84338 [-x^2*(x+1)*(x^2+4*x+1)/(x-1)^9 ogf] A241217 7.84275 [(7*x^3-2*x^2+3*x+1)/(x-1)/(10*x-1)/(x+1)/(x^2-x+1) ogf] A241219 11.3851 [-(21*x^2+102*x+57)/(7*x^3+15*x^2-15*x-7) lgdogf] A241219 3.85003 [{(21+7*n)*a(n+4)+(-27+15*n)*a(n+3)+(-117-15*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=0,a(1)=21,a(2)=171,a(3)=666} ogf] A241219 9.26694 [-3*x*(7*x^2+22*x+7)/(x-1)^5 ogf] A241256 4.46669 [(3*x^11-3*x^10-x^9-11*x^8-8*x^7-8*x^6-x^5+4*x^4+4*x^3-5*x-2)/(x+1)/(x^9-x^8+3*x^7-2*x^6+x^5-2*x^4+x^3+x^2+x-1) ogf] A241271 11.1241 [-(36*x^2-40*x+9)/(12*x^3-20*x^2+9*x-1) lgdogf] A241271 16.0944 [-3*x^3/(x-1)/(6*x-1)/(2*x-1) ogf] A241271 5.77433 [{-a(n+4)+9*a(n+3)-20*a(n+2)+12*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A241271 7.48946 [-f(x)*(12*f(x)*x^3-20*f(x)*x^2+3*x^3+9*f(x)*x-f(x)) ogf] A241275 10.9127 [12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x+5*x^2-f(x) ogf] A241275 13.3199 [-(36*x^2-40*x+9)/(12*x^3-20*x^2+9*x-1) lgdogf] A241275 19.2713 [-5*x^2/(x-1)/(6*x-1)/(2*x-1) ogf] A241275 8.08707 [{a(n+3)-9*a(n+2)+20*a(n+1)-12*a(n),a(0)=0,a(1)=0,a(2)=5} ogf] A241290 7.17704 [x*(128*x^3-99*x^2+45*x-9)/(x-1)^5 ogf] A241290 7.83700 [-(256*x^3+87*x^2-18*x)/(128*x^4-227*x^3+144*x^2-54*x+9) lgdogf] A241301 9.43079 [-2*(x^4+x^3-x^2-3*x-1)/(x^5-x^3-2*x^2+1) ogf] A241329 4.29489 [(3*x^7+5*x^6-17*x^5-21*x^4+26*x^3+15*x^2-16*x+2)/(x-1)/(x^2+x-1)/(9*x^3+6*x^2-10*x+1) ogf] A241345 3.15109 [(9*x^10-51*x^9+31*x^8+104*x^7-38*x^6-109*x^5+4*x^4+46*x^3-3*x^2-6*x+1)/(3*x-1)/(x-1)/(9*x^4-x^3-12*x^2-3*x+1)/(x^4-x^3-2*x^2-x+1) ogf] A241364 4.30498 [(32539986*f(x)+177355)*(8*f(x)*x^4-2*f(x)*x^3+4*x^4+5*x^3-7*f(x)*x+2*x^2+f(x)-1) ogf] A241364 7.96126 [-(x+1)*(4*x^3+x^2+x-1)/(x-1)/(8*x^3+6*x^2+6*x-1) ogf] A241371 4.25080 [{-a(n+5)+5*a(n+4)-2*a(n+3)-4*a(n+2),a(0)=2,a(1)=7,a(2)=28,a(3)=121,a(4)=523} ogf] A241371 4.79826 [-(16*f(x)+1)*(4*f(x)*x^3-2*x^4+2*f(x)*x^2-3*x^3-5*f(x)*x+3*x^2+f(x)+3*x-2) ogf] A241371 8.22557 [(x^2+x-1)*(2*x^2+x-2)/(4*x^3+2*x^2-5*x+1) ogf] A241372 4.08052 [(16*x^7+32*x^6+34*x^5+42*x^4-25*x^3-43*x^2+2*x+5)/(32*x^6+32*x^5+72*x^4+50*x^3-16*x^2-9*x+1) ogf] A241406 10.6114 [-(-11*x^3-89*x^2-94*x-50)/(-11*x^4-39*x^3+39*x+11) lgdogf] A241406 13.2642 [(11*x^2+39*x+11)/(x+1)/(x-1)^2 ogf] A241406 6.95827 [-(35*f(x)-2584)*(f(x)*x^3-f(x)*x^2-f(x)*x-11*x^2+f(x)-39*x-11) ogf] A241406 7.38181 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=11,a(1)=50,a(2)=72} ogf] A241407 10.1798 [-(27*x^3+65*x^2+154*x+46)/(27*x^4+19*x^3-19*x-27) lgdogf] A241407 12.8838 [(27*x^2+19*x+27)/(x+1)/(x-1)^2 ogf] A241407 6.64972 [-(178*f(x)+26845)*(f(x)*x^3-f(x)*x^2-f(x)*x-27*x^2+f(x)-19*x-27) ogf] A241407 7.10833 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=27,a(1)=46,a(2)=100} ogf] A241429 4.26507 [(4*x^12-6*x^11+3*x^9-5*x^8+4*x^7+2*x^6-8*x^5+6*x^4+5*x^3-8*x^2-x+3)/(x-1)/(x^10-x^9+x^8-x^6+x^5-x^3+x^2+x-1) ogf] A241452 4.37052 [{(47*n^2+79*n)*a(n+1)+(-39*n^2+247*n+286)*a(n+2)+(-8*n^2-106*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A241452 8.46501 [x^3*(x^3-5*x^2+4*x-6)/(x-1)^5 ogf] A241452 9.68887 [-(-2*x^3+12*x^2-6*x+26)/(-x^4+6*x^3-9*x^2+10*x-6) lgdogf] A241478 4.05858 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2+32*f(x)*x^3+16*f(x)^2*x-16*f(x)*x^2-64*x^3-f(x)^2+2*f(x)*x+47*x^2-12*x+1 ogf] A241489 6.57167 [-(7510*x^9+500*x^7-7391*x^6+110*x^5-430*x^4-76*x^3-101*x^2-52*x-16)/(x-1)/(x^2+x+1)/(10*x^3-1) ogf] A241496 11.2566 [-(-4*x^3-20*x^2-8*x-4)/(-x^4-4*x^3+4*x+1) lgdogf] A241496 12.6420 [-(x^2+4*x+1)/(x-1)^3/(x+1)^3 ogf] A241520 10.1720 [-(-34*x^3-76*x^2-191*x-55)/(-34*x^4-21*x^3+21*x+34) lgdogf] A241520 12.8739 [(34*x^2+21*x+34)/(x+1)/(x-1)^2 ogf] A241520 6.53914 [-(1495*f(x)+230159)*(f(x)*x^3-f(x)*x^2-f(x)*x-34*x^2+f(x)-21*x-34) ogf] A241520 7.10286 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=34,a(1)=55,a(2)=123} ogf] A241521 10.0949 [-(-22*x^3-128*x^2-163*x-75)/(-22*x^4-53*x^3+53*x+22) lgdogf] A241521 12.9341 [(22*x^2+53*x+22)/(x+1)/(x-1)^2 ogf] A241521 6.67566 [-(1085*f(x)+2637)*(f(x)*x^3-f(x)*x^2-f(x)*x-22*x^2+f(x)-53*x-22) ogf] A241521 7.13605 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=22,a(1)=75,a(2)=119} ogf] A241524 4.46549 [-256*f(x)^2*x^4+256*f(x)^2*x^3-96*f(x)^2*x^2+32*f(x)*x^3+16*f(x)^2*x-16*f(x)*x^2-f(x)^2+2*f(x)*x-x^2-4*x+1 ogf] A241524 7.50030 [(-4*x^2+(-16*x^3+20*x^2-8*x+1)^(1/2)-25*x+6)/(x^2+4*x-1)/(-1+4*x) lgdogf] A241526 8.39019 [-(-4*x^4-8*x^3-18*x^2-11*x-7)/(-x^5-x^4-2*x^3+x^2+x+2) lgdogf] A241526 9.67340 [(x^2+x+2)/(x^2+x+1)/(x-1)^4 ogf] A241527 7.11418 [-(3*x^5+117*x^4-4*x^3-16*x^2-7*x+3)/(3*x^6+50*x^5-101*x^4+70*x^3-29*x^2+8*x-1) lgdogf] A241527 8.71123 [(x^4+18*x^3-10*x^2+4*x-1)/(3*x-1)/(x-1)^4 ogf] A241530 5.09150 [{(16*n^2+16*n)*a(n)+(12+8*n)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=2} ogf] A241543 7.80492 [4*f(x)^2*x^2+16*x^4-16*f(x)*x^2+8*x^3-f(x)^2+9*x^2+4*f(x)-2*x-3 ogf] A241574 8.49153 [(x+1)*(6*x^6-12*x^5+18*x^4-20*x^3+15*x^2-6*x+1)/(2*x-1)^4 ogf] A241575 5.10999 [-x*(x^34-x^33+x^9+x^7+x^5+x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A241577 12.3788 [-(-9*x^3+7*x^2+25*x+1)/(-9*x^4+26*x^3-20*x^2+4*x-1) lgdogf] A241577 13.1723 [-(9*x^3-17*x^2+3*x-1)/(x-1)^4 ogf] A241577 5.03647 [{(1229*n^2+7279*n+9642)*a(n+1)+(-2878*n^2-15180*n-17244)*a(n+2)+(1649*n^2+6641*n+5082)*a(n+3),a(0)=1,a(1)=1,a(2)=15} ogf] A241577 6.75948 [-(74223*f(x)+3041219)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+9*x^3-4*f(x)*x-17*x^2+f(x)+3*x-1) ogf] A241592 7.35379 [x^3*(2*x^6-4*x^5+2*x^4-x^2+x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A241606 4.35743 [-(4440135*f(x)-119942)*(f(x)*x^4-11*f(x)*x^3+25*f(x)*x^2-11*f(x)*x+x^2+f(x)-1) ogf] A241606 9.16341 [-(x-1)*(x+1)/(x^4-11*x^3+25*x^2-11*x+1) ogf] A241608 7.13213 [-(6*x^5+9*x^4+4*x^3-10*x^2-10*x-10)/(x^6+x^5-2*x^3-x^2-x+1) ogf] A241609 3.94505 [-(10*x^9-6*x^8-3*x^7-20*x^6+22*x^5+19*x^4+35*x^3-25*x^2-10*x-20)/(x-1)/(x^9-2*x^6+x^5+2*x^4+5*x^3+x^2+x-1) ogf] A241620 4.40901 [-(x^7-8*x^6+28*x^5-56*x^4+69*x^3-67*x^2+5*x-19)/(x-1)^8 ogf] A241621 3.73390 [-(x^8-9*x^7+36*x^6-84*x^5+127*x^4-107*x^3+155*x^2+35*x+28)/(x-1)^9 ogf] A241622 3.31965 [-(x^9-10*x^8+45*x^7-120*x^6+209*x^5-283*x^4+19*x^3-460*x^2-146*x-41)/(x-1)^10 ogf] A241682 5.50652 [2*x*(12*x^4-12*x^3+x^2+4*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241683 6.35610 [2*x^3*(4*x^2-2*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241684 8.48508 [-4*x^2*(8*x^3-5*x^2-2*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241685 5.99533 [-2*x*(4*x^3-4*x^2-2*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241688 7.20546 [-2*x^6*(5*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A241746 8.18799 [(120*f(x)+7849)*(f(x)*x^2-2*f(x)*x+20*x^2+f(x)-57*x-23) ogf] A241748 11.2918 [-(-13*x^2+20*x-13)/(-13*x^3+36*x^2-35*x+12) lgdogf] A241748 12.5268 [-(13*x^2-23*x+12)/(x-1)^3 ogf] A241748 6.51801 [-(100*f(x)+2319)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)-23*x+12) ogf] A241748 6.97143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=13,a(2)=16} ogf] A241749 11.2918 [-(-14*x^2+22*x-14)/(-14*x^3+39*x^2-38*x+13) lgdogf] A241749 12.5268 [-(14*x^2-25*x+13)/(x-1)^3 ogf] A241749 6.51801 [-(116*f(x)+2767)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)-25*x+13) ogf] A241749 6.97143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=14,a(2)=17} ogf] A241750 11.2918 [-(-16*x^2+26*x-16)/(-16*x^3+45*x^2-44*x+15) lgdogf] A241750 12.5268 [-(16*x^2-29*x+15)/(x-1)^3 ogf] A241750 6.51801 [-(148*f(x)+3783)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)-29*x+15) ogf] A241750 6.97143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=16,a(2)=19} ogf] A241751 11.2918 [-(-17*x^2+28*x-17)/(-17*x^3+48*x^2-47*x+16) lgdogf] A241751 12.5268 [-(17*x^2-31*x+16)/(x-1)^3 ogf] A241751 6.51801 [-(164*f(x)+4351)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)-31*x+16) ogf] A241751 6.97143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=17,a(2)=20} ogf] A241765 10.2337 [x*(2*x-5)/(x-1)^5 ogf] A241765 15.6639 [-(-8*x+23)/(-2*x^2+7*x-5) lgdogf] A241765 5.04955 [{(-10-5*n)*a(n+3)+(30+7*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=0,a(1)=5,a(2)=23} ogf] A241847 11.2918 [-(-18*x^2+30*x-18)/(-18*x^3+51*x^2-50*x+17) lgdogf] A241847 12.5268 [-(18*x^2-33*x+17)/(x-1)^3 ogf] A241847 6.62574 [-(20*f(x)+551)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)-33*x+17) ogf] A241847 6.97143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=18,a(2)=21} ogf] A241848 11.2918 [-(-19*x^2+32*x-19)/(-19*x^3+54*x^2-53*x+18) lgdogf] A241848 12.5268 [-(19*x^2-35*x+18)/(x-1)^3 ogf] A241848 6.62574 [-(28*f(x)+801)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19*x^2-f(x)-35*x+18) ogf] A241848 6.97143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=18,a(1)=19,a(2)=22} ogf] A241849 11.3466 [-(-20*x^2+34*x-20)/(-20*x^3+57*x^2-56*x+19) lgdogf] A241849 12.5876 [-(20*x^2-37*x+19)/(x-1)^3 ogf] A241849 6.54965 [-(212*f(x)+6295)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)-37*x+19) ogf] A241849 7.00528 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=20,a(2)=23} ogf] A241850 11.3466 [-(-21*x^2+36*x-21)/(-21*x^3+60*x^2-59*x+20) lgdogf] A241850 12.5876 [-(21*x^2-39*x+20)/(x-1)^3 ogf] A241850 6.60333 [-(76*f(x)+2341)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+21*x^2-f(x)-39*x+20) ogf] A241850 7.00528 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=21,a(2)=24} ogf] A241851 11.3466 [-(-22*x^2+38*x-22)/(-22*x^3+63*x^2-62*x+21) lgdogf] A241851 12.5876 [-(22*x^2-41*x+21)/(x-1)^3 ogf] A241851 6.54965 [-(244*f(x)+7791)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)-41*x+21) ogf] A241851 7.00528 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=21,a(1)=22,a(2)=25} ogf] A241872 6.69855 [-(12*x^2-15*x+4)/(4*x-1)/(x-1)/(3*x-1)^2/(2*x-1)^3 ogf] A241888 14.8449 [(14*x+1)/(16*x-1)/(x-1) ogf] A241888 7.74515 [(495*f(x)+466)*(16*f(x)*x^2-17*f(x)*x+f(x)-14*x-1) ogf] A241888 8.38299 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=1,a(1)=31} ogf] A241888 9.89658 [-(224*x^2+32*x-31)/(224*x^3-222*x^2-3*x+1) lgdogf] A241889 11.3466 [-(-24*x^2+42*x-24)/(-24*x^3+69*x^2-68*x+23) lgdogf] A241889 12.5876 [-(24*x^2-45*x+23)/(x-1)^3 ogf] A241889 6.82718 [(92*f(x)+3149)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)-45*x+23) ogf] A241889 7.00528 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=23,a(1)=24,a(2)=27} ogf] A241890 11.3466 [-(-25*x^2+44*x-25)/(-25*x^3+72*x^2-71*x+24) lgdogf] A241890 12.5876 [-(25*x^2-47*x+24)/(x-1)^3 ogf] A241890 6.71339 [(292*f(x)+10335)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+25*x^2-f(x)-47*x+24) ogf] A241890 7.00528 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=25,a(2)=28} ogf] A241891 5.88595 [-(24*x^5+12*x^4+2*x^3-9*x^2-2*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241892 7.02974 [-x^2*(8*x^3-2*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241893 5.98593 [4*x^3*(8*x^2+x-2)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241894 5.77591 [-(8*x^4+8*x^3-8*x^2-2*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A241899 7.74708 [[2] ogf_with_Euler_transform] A241929 5.90180 [(x^4+x^3+6*x^2+x+1)*(x^2+x+1)/(x-1)^8 ogf] A241937 6.43486 [-(x^5-6*x^4+15*x^3-21*x^2-16)/(x-1)^6 ogf] A241938 5.24697 [-(x^6-7*x^5+21*x^4-34*x^3+63*x^2+36*x+26)/(x-1)^7 ogf] A241939 4.28487 [-(x^7-8*x^6+28*x^5-57*x^4+17*x^3-282*x^2-165*x-43)/(x-1)^8 ogf] A241940 3.59607 [-(x^8-9*x^7+36*x^6-83*x^5+222*x^4+623*x^3+1373*x^2+548*x+71)/(x-1)^9 ogf] A241941 5.20431 [-(x^9-10*x^8+45*x^7-121*x^6+45*x^5-2422*x^4-6410*x^3-6103*x^2-1567*x-116)/(x-1)^10 ogf] A241946 5.43008 [-11*(90*x^10-10*x^9-10*x^8-10*x^7-10*x^6-10*x^5-10*x^4-10*x^3-10*x^2-10*x-91)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A241955 15.9125 [(8*x+7)/(16*x-1)/(x-1) ogf] A241955 8.0418 [(1935*f(x)+2584)*(16*f(x)*x^2-17*f(x)*x+f(x)-8*x-7) ogf] A241955 8.69637 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=7,a(1)=127} ogf] A241955 9.97184 [-(128*x^2+224*x-127)/(128*x^3-24*x^2-111*x+7) lgdogf] A241958 5.46345 [{(-54*n^3-351*n^2-741*n-504)*a(n+1)+(2*n^3+21*n^2+73*n+84)*a(n+2),a(0)=1,a(1)=2} ogf] A241965 6.04006 [-(x^5-6*x^4+15*x^3-27*x^2-10*x-19)/(x-1)^6 ogf] A241966 5.05362 [-(x^6-7*x^5+21*x^4-25*x^3+113*x^2+80*x+33)/(x-1)^7 ogf] A241967 4.12121 [-(x^7-8*x^6+28*x^5-70*x^4-140*x^3-607*x^2-319*x-57)/(x-1)^8 ogf] A241968 3.71354 [-(x^8-9*x^7+36*x^6-65*x^5+632*x^4+2268*x^3+3086*x^2+1022*x+97)/(x-1)^9 ogf] A241976 12.9820 [3*x*(x-3)/(x-1)/(x^2-6*x+1) ogf] A241976 6.60693 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=60} ogf] A241976 7.18424 [-f(x)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-3*x^2-f(x)+9*x) ogf] A241976 8.60437 [-(2*x^3-16*x^2+42*x-20)/(x^4-10*x^3+28*x^2-22*x+3) lgdogf] A241977 14.2701 [(3*f(x)*x-f(x)+478*x+3)^3 ogf] A241979 11.8854 [-x*(x^5-x^2+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A242026 11.5099 [-(48*x^2-8*x-4)/(16*x^3-4*x^2-4*x+1) lgdogf] A242026 16.1629 [12*x/(2*x+1)/(2*x-1)/(4*x-1) ogf] A242026 6.66365 [{-a(n+3)+4*a(n+2)+4*a(n+1)-16*a(n),a(0)=0,a(1)=12,a(2)=48} ogf] A242026 9.61588 [16*f(x)*x^3-4*f(x)*x^2-4*f(x)*x+f(x)-12*x ogf] A242062 17.0046 [-x^11+x^2*(x^4+x+1) ogf_with_Euler_transform] A242062 9.68390 [x*(x^2-x+1)*(x^4-x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A242073 8.90295 [-(x^5-x^4+2*x^3+x^2+x-1)/(x^2+1)/(x^4-x^2+1) ogf] A242077 7.12964 [(20*x^9+x^8+7*x^7-2*x^6+8*x^5+2*x^4+8*x^3+x^2+x+4)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A242112 10.2094 [(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A242112 24.9760 [x^5-x^4+x+1 ogf_with_Euler_transform] A242135 12.4300 [-x*(x^2-8*x+1)/(x-1)^4 ogf] A242135 13.9598 [-(2*x^2-22*x-4)/(x^3-9*x^2+9*x-1) lgdogf] A242135 4.58277 [{(-3-n)*a(n+4)+(14+9*n)*a(n+3)+(-31-9*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=-1,a(2)=4,a(3)=21} ogf] A242135 6.57528 [(780*f(x)+2609)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-8*x^2+f(x)+x) ogf] A242145 4.83924 [-(x^6-7*x^5+21*x^4-13*x^3+175*x^2+141*x+42)/(x-1)^7 ogf] A242146 3.93946 [-(x^7-8*x^6+28*x^5-90*x^4-348*x^3-1030*x^2-521*x-74)/(x-1)^8 ogf] A242147 3.51798 [-(x^8-9*x^7+36*x^6-30*x^5+1309*x^4+4815*x^3+5658*x^2+1714*x+132)/(x-1)^9 ogf] A242181 15.6912 [-(11*x+89)/(11*x^2+28*x-39) lgdogf] A242181 17.6943 [(11*x+39)/(x-1)^2 ogf] A242181 9.03948 [(100*f(x)+4021)*(f(x)*x^2-2*f(x)*x+f(x)-11*x-39) ogf] A242181 9.90038 [{-a(n+2)+2*a(n+1)-a(n),a(0)=39,a(1)=89} ogf] A242182 5.11413 [(101*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+390)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A242191 5.68206 [-(720*x^5-2688*x^4+2954*x^3-1365*x^2+280*x-21)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A242206 10.4358 [-2*(2*x^2+x-2)/(2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A242206 7.37206 [-(12*x^5+8*x^4-27*x^3-9*x^2+27*x-9)/(4*x^6-13*x^4+6*x^3+10*x^2-9*x+2) lgdogf] A242211 2.0627 [(f(x)*x-f(x)+2*x+4)^2 egf] A242215 10.1887 [{-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=23} ogf] A242215 16.5816 [-(-13*x-23)/(-13*x^2+8*x+5) lgdogf] A242215 18.3840 [(13*x+5)/(x-1)^2 ogf] A242215 9.50185 [(36*f(x)+349)*(f(x)*x^2-2*f(x)*x+f(x)-13*x-5) ogf] A242227 3.05147 [{(n+2)*a(n+1)+(-2*n^2-8*n-6)*a(n+2)+(-2*n^2-14*n-26)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=23} ogf] A242234 5.22353 [(31*f(x)-40)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+7*x^3+f(x)*x+11*x^2-f(x)+12*x+10) ogf] A242234 9.27178 [-(7*x^3+11*x^2+12*x+10)/(x^4+x^3+x^2+x-1) ogf] A242235 6.97512 [-(11*x^4+18*x^3+21*x^2+20*x+15)/(x^5+x^4+x^3+x^2+x-1) ogf] A242236 6.09042 [-(16*x^5+27*x^4+33*x^3+34*x^2+30*x+21)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A242237 5.09927 [-2*(11*x^6+19*x^5+24*x^4+26*x^3+25*x^2+21*x+14)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A242238 4.60693 [-(29*x^7+51*x^6+66*x^5+74*x^4+75*x^3+69*x^2+56*x+36)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A242278 10.2563 [9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-6*x ogf] A242278 12.1497 [-(-27*x^2+6*x+3)/(-9*x^3+3*x^2+3*x-1) lgdogf] A242278 17.5496 [6*x/(3*x-1)/(3*x^2-1) ogf] A242278 7.05117 [{-a(n+3)+3*a(n+2)+3*a(n+1)-9*a(n),a(0)=0,a(1)=6,a(2)=18} ogf] A242300 7.91489 [-x*(x^3+5*x^2-3*x-2)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A242317 6.01849 [-(13*x^5+18*x^4-20*x^3-34*x^2-36*x-25)/(x+1)/(x^5-2*x^3-2*x+1) ogf] A242318 3.51351 [-(35*x^9+49*x^8+16*x^7+36*x^6+53*x^5-196*x^4-248*x^3-188*x^2-120*x-65)/(x^10+x^9+x^7+x^6-6*x^5-5*x^4-3*x^3-2*x^2-x+1) ogf] A242328 10.6856 [-(-55*x^2+30*x-7)/(-55*x^3+81*x^2-29*x+3) lgdogf] A242328 16.0284 [-(11*x-3)/(5*x-1)/(x-1) ogf] A242328 8.01422 [-(12*f(x)+13)*(5*f(x)*x^2-6*f(x)*x+f(x)+11*x-3) ogf] A242328 8.99156 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=3,a(1)=7} ogf] A242329 13.2377 [-(21*x-5)/(5*x-1)/(x-1) ogf] A242329 6.6916 [-(4*f(x)+61)*(5*f(x)*x^2-6*f(x)*x+f(x)+21*x-5) ogf] A242329 7.42604 [{a(n+2)-6*a(n+1)+5*a(n),a(0)=5,a(1)=9} ogf] A242329 8.45743 [-(-105*x^2+50*x-9)/(-105*x^3+151*x^2-51*x+5) lgdogf] A242371 8.54252 [-4*(2*x^4-2*x^3-4*x^2+5*x+3)/(x+1)^2/(x-1)^3 ogf] A242396 5.35739 [-2*(x^13-2*x^12-x^11-x^10-x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-x^2-x-2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A242405 13.5227 [-(6*x^4+4*x^2+6)/(-x^6+1) ogf_with_Euler_transform] A242412 12.7829 [-(-15*x^2+14*x-23)/(-15*x^3+37*x^2-37*x+15) lgdogf] A242412 14.1811 [-(15*x^2-22*x+15)/(x-1)^3 ogf] A242412 7.82405 [(25*f(x)-42)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)-22*x+15) ogf] A242412 7.89208 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15,a(1)=23,a(2)=39} ogf] A242436 7.94349 [-x*(x^4-34*x^3-54*x^2-34*x+1)/(x-1)^6 ogf] A242436 8.31818 [-(2*x^4-98*x^3-318*x^2-278*x-28)/(x^5-35*x^4-20*x^3+20*x^2+35*x-1) lgdogf] A242448 3.96082 [(23*f(x)+4)*(f(x)*x^3-x^4-x^3-2*f(x)*x+f(x)-x-1) ogf] A242448 6.62302 [(x^2-x+1)*(x+1)^2/(x^2+x-1)/(x-1) ogf] A242452 7.74531 [-(x+1)*(x^2+1)*(x^2+x+1)/(2*x^5+3*x^4+4*x^3+2*x^2+x-1) ogf] A242468 3.91150 [-(49*x^7+215*x^6+285*x^5+31*x^4-152*x^3-29*x^2+32*x-4)/(2*x^2+2*x-1)/(5*x^2+5*x-1)/(x^2+x-1)/(3*x^2+3*x-1) ogf] A242475 14.4825 [-(17*x-9)/(2*x-1)/(x-1) ogf] A242475 7.6574 [(3*f(x)-77)*(2*f(x)*x^2-3*f(x)*x+f(x)+17*x-9) ogf] A242475 8.02643 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=9,a(1)=10} ogf] A242475 9.51706 [-(-34*x^2+36*x-10)/(-34*x^3+69*x^2-44*x+9) lgdogf] A242477 17.7369 [-3*x^2/(x+1)/(x-1)^3 ogf] A242477 18.1400 [-(-4*x-2)/(-x^2+1) lgdogf] A242477 37.8162 [[2+x] ogf_with_Euler_transform] A242477 6.54230 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=3,a(3)=6} ogf] A242477 9.85383 [f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x) ogf] A242495 3.67693 [-(x+1)*(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^2+1)/(3*x^9+8*x^8+15*x^7+20*x^6+22*x^5+18*x^4+12*x^3+5*x^2+x-1) ogf] A242496 8.39934 [-x*(3*x^2-3*x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A242497 5.61063 [-(3*x^7+5*x^6+6*x^5-4*x^4-10*x^3-12*x^2-7*x-3)/(x^2+x+1)/(x^6-4*x^3+1) ogf] A242510 4.98564 [-(284*f(x)+9)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A242510 9.75452 [-(x^2-x-1)/(x^4-x^3-2*x^2-x+1) ogf] A242525 7.79508 [(x-1)*(x+1)*(x^4+x^3+1)/(x^5+x^4+x^2+x-1) ogf] A242534 23.4961 [-(f(x)-1)^3 ogf] A242536 11.2476 [-(x^2-x-1)/(2*x^4-2*x^3-3*x^2-x+1) ogf] A242536 5.74875 [-(140*f(x)+9)*(2*f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A242536 7.12002 [-(4*x^5-8*x^4-4*x^3+10*x^2+4*x+2)/(2*x^6-4*x^5-3*x^4+4*x^3+5*x^2-1) lgdogf] A242537 13.6862 [-(x^2-x-1)/(2*x^4-2*x^3-3*x^2-2*x+1) ogf] A242537 6.89304 [-(1658*f(x)+57)*(2*f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A242537 8.35705 [-(4*x^5-8*x^4-4*x^3+11*x^2+4*x+3)/(2*x^6-4*x^5-3*x^4+3*x^3+6*x^2+x-1) lgdogf] A242543 5.00435 [(1938*f(x)-5095)*(4*f(x)*x^4+4*f(x)*x^3+18*x^3+2*f(x)*x+24*x^2-f(x)+8*x+12) ogf] A242543 8.89662 [-2*(9*x^3+12*x^2+4*x+6)/(2*x^2+2*x-1)/(2*x^2+1) ogf] A242544 4.27004 [-(42*x^7+99*x^6+78*x^5+88*x^4+50*x^3-21*x^2+10*x-13)/(x^2+1)/(3*x^2+1)/(3*x^2+3*x-1)/(x^2+x-1) ogf] A242558 7.82506 [-x*(x^2+3*x-3)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A242563 13.5116 [x^2*(x-2)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A242563 7.16704 [-(3*f(x)+8)*(2*f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x+2*x^2-f(x)) ogf] A242563 8.86247 [-(6*x^4-18*x^3+6*x^2-3)/(2*x^5-5*x^4+2*x^3+2*x^2-5*x+2) lgdogf] A242566 9.57067 [-(-x^2+x)/(-x^4+2*x^3-x^2-1) revogf] A242569 4.62711 [{(n^3+9*n^2+26*n+24)*a(n+1)+(-n^3-9*n^2-25*n-20)*a(n+2)+(n^2+4*n+3)*a(n+3),a(0)=-1,a(1)=-2,a(2)=0} ogf] A242570 10.7017 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=252} ogf] A242570 14.5614 [-f(x)*x^2+2*f(x)*x-f(x)+252*x ogf] A242570 22.7755 [252*x/(x-1)^2 ogf] A242570 31.7230 [2/(-x+1) lgdogf] A242570 67.9342 [[2] ogf_with_Euler_transform] A242578 4.39333 [-(27*f(x)+722)*(4*f(x)*x^4-6*f(x)*x^3+5*f(x)*x^2+20*x^3-4*f(x)*x-22*x^2+f(x)+17*x-13) ogf] A242578 8.02733 [-(20*x^3-22*x^2+17*x-13)/(x-1)/(4*x^3-2*x^2+3*x-1) ogf] A242579 4.71451 [-(45*x^6-87*x^5+152*x^4-164*x^3+96*x^2-53*x+14)/(x-1)/(x^3-x^2+2*x-1)/(9*x^3-3*x^2+4*x-1) ogf] A242586 4.72774 [-5*f(x)^2*x^3+11*f(x)^2*x^2-7*f(x)^2*x-5*f(x)*x^2+f(x)^2+6*f(x)*x-f(x)-x ogf] A242601 14.3907 [-(-5*x^2+4*x-1)/(-x^3+x^2-x+1) lgdogf] A242601 16.1580 [-x^2/(x-1)/(x^2+1)^2 ogf] A242601 31.6703 [[2*x^3-2*x+1] ogf_with_Euler_transform] A242601 4.74744 [{(n+4)*a(n+1)+(-n-4)*a(n+2)+(n+2)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=1} ogf] A242601 6.62593 [(2*f(x)-1)*(x^5*f(x)-f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+f(x)*x+x^2-f(x)) ogf] A242602 13.3977 [-(7*x^3-6*x^2+1)/(x^4-x^3+x-1) lgdogf] A242602 14.9352 [-x^3/(x-1)/(x^2-x+1)^2/(x+1)^2 ogf] A242602 31.3340 [2*x^5-2*x^2+1 ogf_with_Euler_transform] A242604 3.84523 [{(-50*n^2-301*n-402)*a(n+1)+(7*n^2-308*n-987)*a(n+2)+(43*n^2+237*n+302)*a(n+3),a(0)=0,a(1)=9,a(2)=56} ogf] A242604 7.85765 [x*(x^3-5*x^2-11*x-9)/(x-1)^5 ogf] A242604 8.70969 [-(-2*x^3+12*x^2+54*x+56)/(-x^4+6*x^3+6*x^2-2*x-9) lgdogf] A242609 3.00090 [-(-2*x^25-2*x^24+x^23-2*x^16-x^15-3*x^9-2*x^8+2*x^7-x-2)/(x^26-x^24+x^18-x^16+x^10-x^8+x^2-1) ogf_with_Euler_transform] A242636 5.02908 [-(x^6-x^5-2*x^4+x^3+3*x^2-1)/(x+1)/(2*x^11-2*x^10+6*x^9-4*x^8+3*x^7+13*x^5+5*x^4-8*x^3-5*x^2-x+1) ogf] A242637 4.85946 [f(x)^3*x^3-21*f(x)^2*x^3-42*f(x)^2*x^2+147*f(x)*x^3-546*f(x)*x^2-343*x^3+189*f(x)*x+48*x^2-16*f(x) ogf] A242638 3.85264 [-x^4*f(x)^3+9*f(x)^2*x^4-2*f(x)^2*x^3-27*f(x)*x^4-2*f(x)^2*x^2+84*f(x)*x^3+27*x^4-60*f(x)*x^2-18*x^3+14*f(x)*x+2*x^2-f(x) ogf] A242651 5.70246 [{(n^2+4*n+5)*a(n+1)+(2*n+5)*a(n+2)+a(n+3),a(0)=0,a(1)=-1,a(2)=3} ogf] A242652 5.81896 [{(n^2+4*n+5)*a(n+1)+(2*n+5)*a(n+2)+a(n+3),a(0)=1,a(1)=-1,a(2)=1} ogf] A242656 5.77747 [(x^8-3*x^7-2*x^6+16*x^5-14*x^4-14*x^3+29*x^2-13*x-1)/(x-1)^7 ogf] A242657 5.97601 [(x^9-3*x^8-3*x^7+18*x^6-5*x^5-51*x^4+77*x^3-29*x^2-19*x+15)/(x-1)^8 ogf] A242658 14.0686 [-(-4*x^2-4*x-1)/(-4*x^3+6*x^2-3*x+1) lgdogf] A242658 14.7605 [-2*(4*x^2-2*x+1)/(x-1)^3 ogf] A242658 7.76197 [-(6*f(x)-11)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-4*x+2) ogf] A242658 8.03919 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=8} ogf] A242659 10.4285 [2*x*(4*x^2-2*x+1)/(x-1)^4 ogf] A242659 11.8950 [-(-8*x^2-2*x-2)/(-4*x^3+6*x^2-3*x+1) lgdogf] A242659 3.88409 [{(n+3)*a(n+4)+(-8-3*n)*a(n+3)+(4+6*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=2,a(2)=4,a(3)=12} ogf] A242659 5.72393 [(3*f(x)+5)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x+4*x^2+f(x)-2*x) ogf] A242660 16.9025 [x*(2*x+1)*(x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A242660 9.27729 [-(-4*x^6-11*x^5-17*x^4-13*x^3-13*x^2-10*x-4)/(-2*x^7-3*x^6-3*x^5-x^4+2*x^3+3*x^2+3*x+1) lgdogf] A242668 15.8212 [-1/(4*x-1)/(x^4-4*x+1) ogf] A242668 8.76835 [-(-20*x^4+4*x^3+32*x-8)/(-4*x^5+x^4+16*x^2-8*x+1) lgdogf] A242669 8.65667 [-x^3*(x^3+x^2+x+3)/(x^2+x+1)^2/(x-1)^3 ogf] A242679 7.45284 [(4*x^16+3*x^15-3*x^11+3*x^10+7*x^9+7*x^8+7*x^7+7*x^6+4*x^5+7*x^4+7*x^3+7*x^2+7*x+4)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A242709 6.73754 [-x*(x^5+x^4+7*x^3+5*x^2+8*x+2)/(x+1)^3/(x-1)^5 ogf] A242725 10.8428 [-(2*x^3-x^2-3*x+1)/(x-1)/(x+1)/(x^2-4*x+1) ogf] A242725 6.13242 [(254*f(x)+81)*(f(x)*x^4-4*f(x)*x^3+2*x^3+4*f(x)*x-x^2-f(x)-3*x+1) ogf] A242727 5.53217 [-(2*x^6+9*x^5+12*x^4+17*x^3+11*x^2+4*x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A242728 10.3409 [-(x^3-x^2-2*x+1)/(x-1)/(x+1)/(x^2-4*x+1) ogf] A242728 5.5744 [-(1926*f(x)+181)*(f(x)*x^4-4*f(x)*x^3+x^3+4*f(x)*x-x^2-f(x)-2*x+1) ogf] A242762 9.46549 [-(2*x^4+x^3-x^2+x+2)/(x^3-x-1)/(x-1)^2 ogf] A242763 11.6507 [-(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3-x-1) ogf] A242765 2.75391 [(227919673161*f(x)^2-493950883028*f(x)+142445768136)*(-210*x^5-24*x^4-18*x^3-6*x^2+f(x)-4*x-2) ogf] A242765 9.38314 [-(-35*x^4-16*x^3-36*x^2-24*x-16)/(7*x^5+4*x^4+12*x^3+12*x^2+16*x+8) lgdegf] A242771 9.61759 [-x^2*(2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A242774 12.5494 [(x^2+2*x+2)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A242781 5.08486 [4*f(x)^2*x^4-f(x)^2*x^3+12*f(x)^2*x^2+4*f(x)*x^3-3*f(x)^2*x-f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A242798 3.48364 [27*f(x)^3*x^3-31*f(x)^3*x^2+54*f(x)^2*x^3+31*f(x)^3*x-35*f(x)^2*x^2+36*f(x)*x^3-4*f(x)^3+4*f(x)^2*x-11*f(x)*x^2+8*x^3+f(x)*x-x^2 ogf] A242850 7.21646 [6*x*(x^4+124*x^3+390*x^2+124*x+1)/(x-1)^6 ogf] A242850 7.27976 [-(-2*x^4-376*x^3-1932*x^2-1400*x-130)/(-x^5-123*x^4-266*x^3+266*x^2+123*x+1) lgdogf] A242851 5.36229 [-(7*x^6+2862*x^5+20161*x^4+20196*x^3+2841*x^2+14*x-1)/(x-1)^7 ogf] A242852 4.68040 [8*x*(x^6+1350*x^5+18591*x^4+40756*x^3+18591*x^2+1350*x+1)/(x-1)^8 ogf] A242853 3.89183 [-(9*x^8+40464*x^7+1007524*x^6+4112928*x^5+4113054*x^4+1007440*x^3+40500*x^2+1)/(x-1)^9 ogf] A242856 7.94725 [-(x^4-10*x^3+15*x^2+92*x+22)/(x^5-8*x^4+19*x^3+5*x^2-16*x-1) lgdogf] A242856 8.27163 [-2*(x^4-7*x^3+12*x^2+17*x+1)/(x-1)^5 ogf] A242874 15.2405 [-(-4*x^2-6*x-6)/(x^3-1) ogf_with_Euler_transform] A242954 4.88296 [-(x+1)*(x^2+1)*(2*x^2+2*x+1)*(2*x^2-2*x+1)*(16*x^8+1)/(32*x^8-1)/(32*x^8+1) ogf] A242963 14.7386 [-(5*x-7)/(x^3+2*x^2-8*x+5) lgdogf] A242963 15.5728 [-(x^2+3*x-5)/(x-1)^2 ogf] A242963 8.09177 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=5,a(1)=7,a(2)=8} ogf] A242963 8.78045 [(2*f(x)+39)*(f(x)*x^2-2*f(x)*x+x^2+f(x)+3*x-5) ogf] A242971 10.2440 [-(x^2-x-1)*(x^3+x^2-1)/(2*x^2-1)/(x-1)^2/(x+1)^2 ogf] A242983 3.60261 [{(-31*n^2-165*n-206)*a(n+1)+(58*n^2+199*n+110)*a(n+2)+(-27*n^2-50*n+8)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A242983 7.24437 [x*(2*x^3-17*x^2+4*x-1)/(x-1)^5 ogf] A242983 7.93431 [-(-4*x^3+45*x^2+18*x+1)/(-2*x^4+19*x^3-21*x^2+5*x-1) lgdogf] A242985 11.3325 [-(-80*x^2+48*x-8)/(-80*x^3+84*x^2-28*x+3) lgdogf] A242985 12.2179 [8*f(x)*x^2-6*f(x)*x+f(x)+10*x-3 ogf] A242985 16.9988 [-(10*x-3)/(4*x-1)/(2*x-1) ogf] A242985 9.53590 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=3,a(1)=8} ogf] A243006 4.19477 [{(3*n+11)*a(n+1)+(-3*n-8)*a(n+2)+(3*n+5)*a(n+3)+(-3*n-2)*a(n+4),a(0)=0,a(1)=1,a(2)=-1,a(3)=7} ogf] A243006 7.75636 [-x*(x^4-6*x^3-12*x^2+3*x-1)/(x-1)^2/(x^2+1)^2 ogf] A243011 5.42911 [-(16*x^6+58*x^5+87*x^4+105*x^3+66*x^2+25*x+3)/(x^2+x+1)^2/(x-1)^5 ogf] A243014 10.0913 [-(x^3-x^2-1)/(-x^3+2*x^2-2*x+1) lgdegf] A243019 5.18334 [-24*f(x)^2*x^3+8*f(x)^2*x^2+3*f(x)^2*x-8*f(x)*x^2-f(x)^2+f(x)-2*x ogf] A243020 9.13523 [[2] ogf_with_Euler_transform] A243023 2.64844 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A243027 10.9304 [-(9*x^2+8*x+12)/(2*x^3+x^2+2*x-1) ogf] A243027 5.64737 [-(239*f(x)-313)*(2*f(x)*x^3+f(x)*x^2+2*f(x)*x+9*x^2-f(x)+8*x+12) ogf] A243027 5.89291 [{a(n+3)-2*a(n+2)-a(n+1)-2*a(n),a(0)=12,a(1)=32,a(2)=85} ogf] A243028 5.69339 [-(14*x^5+16*x^4+36*x^3+8*x^2+10*x-13)/(3*x^3+2*x^2+3*x-1)/(x^3+x-1) ogf] A243029 3.41623 [-(37*x^8+63*x^7+154*x^6+98*x^5+108*x^4-45*x^3-9*x^2-48*x+13)/(2*x^3+x^2+2*x-1)/(4*x^3+3*x^2+4*x-1)/(x^3+x-1) ogf] A243038 5.29557 [(507*f(x)-289)*(f(x)*x^4+f(x)*x^3+5*x^3-3*f(x)*x+7*x^2+f(x)+3*x-13) ogf] A243038 9.38074 [-(5*x^3+7*x^2+3*x-13)/(x-1)/(x^3+2*x^2+2*x-1) ogf] A243039 5.04090 [-(5*x^6+17*x^5+22*x^4-5*x^3-25*x^2-24*x+14)/(x-1)/(x^3+3*x^2+3*x-1)/(x^3+x^2+x-1) ogf] A243094 5.14454 [-(35195*f(x)-39313)*(f(x)*x^4+3*f(x)*x^3-x^4+f(x)*x^2-2*x^3+f(x)*x+2*x^2-f(x)+x+1) ogf] A243094 9.50228 [(x^4+2*x^3-2*x^2-x-1)/(x^4+3*x^3+x^2+x-1) ogf] A243099 9.36390 [-x^3*(x^4+x+1)/(x-1)^3/(x+1)^3 ogf] A243105 5.30919 [149351094129551342786091/14*x^15*exp(74653565779881276451418099997990/16594566014394593642899*x^5) ogf_with_Euler_transform] A243107 11.4968 [-(-x^3-2*x^2+2*x+2)/(2*x^2-2) lgdegf] A243107 3.36492 [{(2*n+10)*a(n+5)-2*a(n+4)+(-8-2*n)*a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=2/3,a(4)=13/24} egf] A243116 7.51389 [-4*f(x)^3*x^3+12*f(x)^3*x^2-39*f(x)^3*x+4*f(x)^3+3*f(x)*x-3*f(x)-1 ogf] A243131 6.28771 [x*(x^4+356*x^3+1206*x^2+356*x+1)/(x-1)^6 ogf] A243132 5.24030 [-(x^6+1344*x^5+10165*x^4+10200*x^3+1323*x^2+8*x-1)/(x-1)^7 ogf] A243133 4.34294 [x*(x^6+5034*x^5+73935*x^4+164620*x^3+73935*x^2+5034*x+1)/(x-1)^8 ogf] A243134 3.74095 [-(x^8+18808*x^7+496540*x^6+2065096*x^5+2065222*x^4+496456*x^3+18844*x^2-8*x+1)/(x-1)^9 ogf] A243138 12.8291 [-(-x^2-22*x+29)/(-x^3-9*x^2+23*x-13) lgdogf] A243138 13.8473 [(x^2+10*x-13)/(x-1)^3 ogf] A243138 7.33093 [(428*f(x)-95339)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)-10*x+13) ogf] A243138 7.58591 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=29,a(2)=47} ogf] A243142 5.83602 [x*(2*x^5-5*x^4+x^3-8*x^2-7*x-3)/(x+1)^3/(x-1)^7 ogf] A243156 12.0392 [f(x)^3*x-f(x)^2+f(x)*x+f(x)-x ogf] A243157 11.3541 [f(x)^3*x^3-f(x)^2*x+f(x)*x+f(x)-1 ogf] A243157 16.8128 [-(-x^2+x)/(x^3+x-1) revogf] A243201 8.41412 [-(-x^4-36*x^3-162*x^2-140*x-21)/(-x^5-15*x^4-22*x^3+22*x^2+15*x+1) lgdogf] A243201 9.10099 [-(x^4+16*x^3+38*x^2+16*x+1)/(x-1)^5 ogf] A243206 5.28816 [4*x^3*(x^6-5*x^5-6*x^4+72*x^3-125*x^2-163*x-14)/(x-1)^7 ogf] A243208 5.38231 [x*(x^7-2*x^6-x^5-14*x^4-13*x^3-17*x^2-11*x-3)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A243212 7.27652 [-x*(2*x^3-4*x^2+17*x+15)/(x+1)/(x-1)^7 ogf] A243212 7.47865 [-(-10*x^4+12*x^3-101*x^2-214*x-107)/(-2*x^5+4*x^4-15*x^3-19*x^2+17*x+15) lgdogf] A243213 4.22443 [(7*x^7-33*x^6-15*x^5-38*x^4-318*x^3-330*x^2-110*x-3)/(x+1)^3/(x-1)^9 ogf] A243215 3.57289 [-x^3*(6*x^9-14*x^8-155*x^7+474*x^6+1267*x^5-7976*x^4+13539*x^3+17290*x^2+2431*x+18)/(x-1)^9 ogf] A243228 5.94733 [(x^2-5*x+3)*(x^2+x-1)/(x^3+3*x^2-4*x+1)/(2*x-1)^2/(x-1)^3 ogf] A243255 8.98840 [-(-x^2+x)/(-x^4+2*x^3-x-1) revogf] A243310 4.76698 [-(63*f(x)+187)*(-3*x^5-40*x^3-120*x^2+120*f(x)-240*x-120) egf] A243359 4.73911 [-(5*x^8-2*x^7+6*x^6-4*x^5+6*x^4-2*x^3+5*x^2+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A243369 27.7163 [[2] ogf_with_Euler_transform] A243369 5.55101 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A243383 4.56578 [(4*f(x)-819)*(f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2+5*x^3-4*f(x)*x-8*x^2+f(x)+17*x-13) ogf] A243383 8.14906 [-(5*x^3-8*x^2+17*x-13)/(x-1)/(x^3-x^2+3*x-1) ogf] A243384 4.86703 [-(5*x^6-13*x^5+40*x^4-59*x^3+67*x^2-53*x+14)/(x-1)/(x^3-x^2+4*x-1)/(x^3-x^2+2*x-1) ogf] A243399 13.0645 [-(-2*x-19)/(-x^2-19*x+1) lgdogf] A243399 19.2125 [-1/(x^2+19*x-1) ogf] A243399 7.423 [-(363*f(x)-2)*(f(x)*x^2+19*f(x)*x-f(x)+1) ogf] A243399 7.77648 [{-a(n+2)+19*a(n+1)+a(n),a(0)=1,a(1)=19} ogf] A243412 6.06627 [-f(x)^3*x^3+f(x)^2*x^3+f(x)^2*x^2-f(x)*x^3-f(x)^2*x-f(x)*x^2+f(x)-1 ogf] A243427 11.0123 [-f(x)*x^2+2*f(x)*x+x^2-f(x)-4*x+4 ogf] A243427 14.7522 [(x-2)^2/(x-1)^2 ogf] A243427 21.7186 [-2/(-x^2+3*x-2) lgdogf] A243427 7.66538 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=4,a(1)=4,a(2)=5} ogf] A243456 8.61444 [-(50*x^4-39*x^2+8)/(2*x^2-1)^3 ogf] A243464 4.27379 [{(13466*n^2+43953*n)*a(n)+(6028*n^2+73934*n+123208)*a(n+1)+(-19494*n^2+13953*n)*a(n+2),a(0)=0,a(1)=0,a(2)=3} ogf] A243464 7.94321 [x^2*(43*x^3-137*x^2-95*x-3)/(x-1)^5 ogf] A243464 8.54759 [-(-86*x^3+282*x^2+654*x+110)/(-43*x^4+180*x^3-42*x^2-92*x-3) lgdogf] A243465 4.98741 [2*x^3*(15*x^6-167*x^5+320*x^4+686*x^3-2789*x^2-1815*x-90)/(x-1)^7 ogf] A243469 13.0886 [-(x^2-2*x-1)/(x^4-16*x^2+1) ogf] A243469 7.59136 [-(586*f(x)-5)*(f(x)*x^4-16*f(x)*x^2+x^2+f(x)-2*x-1) ogf] A243470 13.5380 [-(x^2-7*x-1)/(x^4-16*x^2+1) ogf] A243470 6.54335 [-(2*x^5-21*x^4-4*x^3+112*x^2+30*x+7)/(x^6-7*x^5-17*x^4+112*x^3+17*x^2-7*x-1) lgdogf] A243470 7.85201 [(7618*f(x)+1375)*(f(x)*x^4-16*f(x)*x^2+x^2+f(x)-7*x-1) ogf] A243513 10.2473 [-(6*x^2-10*x+3)/(3*x-1)/(x-1)^2 ogf] A243513 5.25065 [-(319*f(x)+1743)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+6*x^2-f(x)-10*x+3) ogf] A243513 5.62239 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=3,a(1)=5,a(2)=10} ogf] A243513 7.30264 [-(-18*x^3+42*x^2-25*x+5)/(-18*x^4+54*x^3-55*x^2+22*x-3) lgdogf] A243514 3.28262 [{(-8*n-48)*a(n+1)+(14*n+76)*a(n+2)+(-7*n-36)*a(n+3)+(n+5)*a(n+4),a(0)=3,a(1)=5,a(2)=10,a(3)=25} ogf] A243514 4.39131 [-(299*f(x)+1228)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2+16*x^3-8*f(x)*x-33*x^2+f(x)+19*x-3) ogf] A243514 8.08645 [-(16*x^3-33*x^2+19*x-3)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A243515 5.70361 [-(60*x^4-141*x^3+106*x^2-31*x+3)/(3*x-1)/(2*x-1)/(5*x-1)/(x-1)^2 ogf] A243516 4.83692 [-(288*x^5-739*x^4+655*x^3-258*x^2+46*x-3)/(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1)/(x-1)^2 ogf] A243517 4.03420 [-(1680*x^6-4607*x^5+4579*x^4-2175*x^3+531*x^2-64*x+3)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(x-1)^2 ogf] A243518 3.43730 [-(11520*x^7-33305*x^6+36095*x^5-19574*x^4+5849*x^3-976*x^2+85*x-3)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(5*x-1)/(x-1)^2 ogf] A243520 12.5030 [-(-6*x^2-27*x-11)/(-3*x^3-8*x^2+3*x+8) lgdogf] A243520 14.4771 [x*(3*x+8)/(x+1)/(x-1)^2 ogf] A243520 7.23857 [(2321*f(x)+34627)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-8*x) ogf] A243520 7.36783 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=11} ogf] A243577 6.65729 [-(15*x^6-30*x^5+45*x^4-60*x^3+69*x^2-46*x+39)/(x^2+1)^2/(x-1)^3 ogf] A243578 11.0409 [-(15*x^2+178*x+191)/(15*x^3+59*x^2-35*x-39) lgdogf] A243578 12.5935 [-(3*x+13)*(5*x+3)/(x-1)^3 ogf] A243578 6.49987 [(93152*f(x)-5963823)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+74*x+39) ogf] A243578 6.88874 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=39,a(1)=191,a(2)=471} ogf] A243579 15.0605 [-(-15*x^2-114*x-255)/(-15*x^3-27*x^2-29*x+71) lgdogf] A243579 17.1784 [-(15*x^2+42*x+71)/(x-1)^3 ogf] A243579 8.8663 [(37792*f(x)-2564945)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+42*x+71) ogf] A243579 9.39675 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=71,a(1)=255,a(2)=567} ogf] A243580 15.2697 [-(-15*x^2-82*x-287)/(-15*x^3-11*x^2-61*x+87) lgdogf] A243580 17.1784 [-(15*x^2+26*x+87)/(x-1)^3 ogf] A243580 9.01165 [(3040*f(x)-219093)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+26*x+87) ogf] A243580 9.39675 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=87,a(1)=287,a(2)=615} ogf] A243581 10.9994 [-(15*x^2-6*x+119)/(x-1)^3 ogf] A243581 5.77016 [(5536*f(x)-480179)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)-6*x+119) ogf] A243581 5.96575 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=119,a(1)=351,a(2)=711} ogf] A243581 9.51296 [-(-15*x^2-18*x-351)/(-15*x^3+21*x^2-125*x+119) lgdogf] A243600 7.05414 [-(2*x^4+7*x^3-2*x^2-10*x+4)/(x-1)/(x^2+x-1)/(x^2+3*x-1) ogf] A243601 4.65573 [-(2*x^6+13*x^5+15*x^4-24*x^3-21*x^2+22*x-4)/(x-1)/(x^2+x-1)/(x^2+2*x-1)/(x^2+4*x-1) ogf] A243602 3.80609 [-(2*x^8+21*x^7+63*x^6+18*x^5-129*x^4-31*x^3+101*x^2-38*x+4)/(x-1)/(x^2+2*x-1)/(x^2+3*x-1)/(x^2+5*x-1)/(x^2+x-1) ogf] A243626 11.7097 [-(-x^2+x)/(-2*x^2-3*x-1) revogf] A243626 3.60298 [{-2*a(n)*n+(19*n+30)*a(n+1)+(8*n+9)*a(n+2)+(-n-3)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A243626 8.34116 [-2*f(x)^2*x-f(x)^2-3*f(x)*x+f(x)-x ogf] A243632 8.18216 [-(-4*x^4+6*x^3-4*x^2+x)/(-x^2+2*x-1) revogf] A243633 5.04879 [{a(n+4)-5*a(n+3)+8*a(n+2)-5*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=8} ogf] A243633 5.41822 [-(1+4*f(x))*(5*f(x)*x^3-8*f(x)*x^2-4*x^3+5*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A243633 9.65855 [(2*x-1)*(2*x^2-2*x+1)/(5*x^3-8*x^2+5*x-1) ogf] A243635 5.88269 [-(12*x^5+20*x^4-30*x^3-14*x^2+19*x-4)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A243636 4.11992 [-(32*x^7+80*x^6-51*x^5-126*x^4+59*x^3+40*x^2-27*x+4)/(2*x-1)/(x-1)/(4*x^2+2*x-1)/(2*x^2+2*x-1)/(x^2+2*x-1) ogf] A243645 4.29385 [{(34*n^2+31*n)*a(n+1)+(-134*n^2-218*n-108)*a(n+2)+(100*n^2-77*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A243645 8.31933 [x^3*(x^3+3*x^2-15*x-1)/(x-1)^5 ogf] A243645 9.39595 [-(-2*x^3-12*x^2+54*x+20)/(-x^4-2*x^3+18*x^2-14*x-1) lgdogf] A243646 5.90521 [x^4*(x^5-27*x^4+90*x^3-54*x^2-119*x-11)/(x-1)^7 ogf] A243647 3.96359 [-x^4*(9*x^8-102*x^7+253*x^6+179*x^5-1340*x^4+916*x^3+1597*x^2+167*x+1)/(x-1)^9 ogf] A243659 12.7761 [-x/(-2*x^4-7*x^3-9*x^2-5*x-1) revogf] A243717 7.49528 [(x^6-3*x^4-5*x^3-3*x-2)/(x+1)^3/(x-1)^5 ogf] A243718 3.54376 [(3*x^12-9*x^11-11*x^10+32*x^9+16*x^8-18*x^7+3*x^6-74*x^5-86*x^4-77*x^3-12*x^2-6*x-1)/(x+1)^4/(x-1)^7 ogf] A243722 5.00732 [{a(n+4)-2*a(n+3)-3*a(n+2)+4*a(n+1)+3*a(n),a(0)=3,a(1)=6,a(2)=12,a(3)=25} ogf] A243722 5.15038 [-(160*f(x)-97)*(3*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+5*x^3-2*f(x)*x+9*x^2+f(x)-3) ogf] A243722 9.87745 [-(5*x^3+9*x^2-3)/(3*x^2+x-1)/(x^2+x-1) ogf] A243723 7.90748 [-(13*x^4+16*x^3-12*x^2-6*x+3)/(2*x-1)/(4*x^2+x-1)/(x^2+x-1) ogf] A243724 5.62101 [-(49*x^6+74*x^5-42*x^4-52*x^3+18*x^2+9*x-3)/(2*x-1)/(5*x^2+x-1)/(x^2+x-1)/(3*x^2+x-1) ogf] A243725 4.12204 [-(235*x^8+406*x^7-176*x^6-370*x^5+77*x^4+115*x^3-24*x^2-12*x+3)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x^2+x-1)/(4*x^2+x-1)/(x^2+x-1) ogf] A243735 5.17981 [(x-1)*(2*x^5+4*x^4-3*x^3+2*x-1)/(2*x-1)/(2*x^2-2*x+1)/(x^2+x-1) ogf] A243736 7.71163 [(x-1)*(4*x^5+4*x^4-4*x^3+x^2+2*x-1)/(2*x^2+2*x-1)/(2*x^2-2*x+1)/(x^2+x-1) ogf] A243747 10.7366 [-(-2*x^3-2*x^2+2)/(x^4+1) ogf_with_Euler_transform] A243760 9.40517 [-(-2*x^3+x^2-x)/(4*x^4+4*x^2+1) revogf] A243762 10.2366 [-(-27*x^3-71*x^2+7*x-5)/(-27*x^4+32*x^3-6*x^2+1) lgdogf] A243762 10.4991 [(27*x^3-5*x^2+x+1)/(x-1)^4 ogf] A243762 4.19965 [{(n^2+1301*n+2598)*a(n+1)+(-362*n^2-3544*n-2430)*a(n+2)+(361*n^2+1163*n+240)*a(n+3),a(0)=1,a(1)=5,a(2)=9} ogf] A243762 5.72679 [(246*f(x)+1537)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-27*x^3-4*f(x)*x+5*x^2+f(x)-x-1) ogf] A243763 13.5417 [-(-7*x^2-x-6)/(x^3+x^2+x+1) ogf_with_Euler_transform] A243763 99.9999 Evaluated at exp(-Pi) 1/32*exp(Pi)*Pi^(7/4)/GAMMA(3/4)^7 A243814 8.49980 [-(x^3+2*x^2+x)/(-x^4-4*x^3-5*x^2-4*x-1) revogf] A243821 5.31496 [-(x^9-x^8-x^7-x^5-3*x^3-x-2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3-1) ogf] A243860 11.9606 [(6*x^3-4*x^2-x+1)/(x-1)^3/(2*x-1) ogf] A243860 6.62564 [(56*f(x)+15)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-6*x^3-5*f(x)*x+4*x^2+f(x)+x-1) ogf] A243860 9.02907 [-(12*x^4+8*x^3-28*x^2+18*x-4)/(12*x^5-26*x^4+16*x^3+x^2-4*x+1) lgdogf] A243869 15.0667 [-1/(x-1)/(3*x-1)/(2*x-1)/(x+1) ogf] A243869 5.90614 [(69553*f(x)-44928)*(6*f(x)*x^4-5*f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A243869 8.89480 [-(24*x^3-15*x^2-10*x+5)/(6*x^4-5*x^3-5*x^2+5*x-1) lgdogf] A243883 4.62627 [-(x^11+5*x^10+x^9+13*x^8+2*x^7+14*x^6+2*x^5+14*x^4+5*x^3+13*x^2+x+5)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A243903 21.7579 [[2] ogf_with_Euler_transform] A243938 10.5004 [-(8*x^3+6*x^2+4*x+2)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A243939 9.96384 [-(-8*x^4-10*x^3-10*x^2-10*x-10)/(x^5-1) ogf_with_Euler_transform] A243953 15.6595 [2/(1+(1-4*x)^(1/2)) lgdegf] A243953 3.14620 [{(56+28*n)*a(n+1)+(28*n^2+74*n+44)*a(n+2)+(4*n^2+15*n+10)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=8} ogf] A243953 35.6334 [2/(1+(1-4*x)^(1/2)) lgdegf] A243989 7.47343 [(x^14-x^13+2*x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A244038 13.9368 [108*f(x)^3*x^2-f(x)^3+3*f(x)-2 ogf] A244038 5.71509 [{(108*n^2+432*n+420)*a(n+1)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=6,a(2)=48} ogf] A244039 10.592 [-108*f(x)^3*x^2+f(x)^3-9*f(x)*x-f(x)-x ogf] A244062 9.23504 [-1/2*(-2*x+1+(-8*x^3+16*x^2-8*x+1)^(1/2))/(2*x-1)*x revogf] A244082 13.9102 [-32*x*(x+1)/(x-1)^3 ogf] A244082 18.6522 [-(2*x+4)/(x^2-1) lgdogf] A244082 38.8210 [[4-x] ogf_with_Euler_transform] A244082 7.19911 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=32,a(2)=128} ogf] A244082 7.52935 [(f(x)+8)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+32*x^2-f(x)+32*x) ogf] A244151 14.2087 [(x^5+3*x^3-x^2+x+2)/(x+1)/(x-1)^2 ogf] A244151 9.04190 [-(-2*x^6+x^5+5*x^4+2*x^3+10*x^2+5*x+3)/(x^7+2*x^5-x^4-2*x^3+3*x^2-x-2) lgdogf] A244156 8.33902 [-(10*x^27-10*x^26+10*x^23-10*x^22+10*x^5-10*x^4+9*x-10)/(x-1)^2 ogf] A244174 5.23325 [-4*f(x)^2*x^3+9*f(x)^2*x^2-8*f(x)*x^3-6*f(x)^2*x+10*f(x)*x^2-4*x^3+f(x)^2-2*f(x)*x+2*x-1 ogf] A244177 5.58231 [-(27*x^5+50*x^4+85*x^3+84*x^2+70*x+38)/(2*x^6+3*x^5+5*x^4+4*x^3+3*x^2+x-1) ogf] A244213 11.3110 [-(5*x^2-x-2)/(x+1)/(x^2-x-1) ogf] A244213 6.31033 [(55*f(x)+63)*(f(x)*x^3-2*f(x)*x+5*x^2-f(x)-x-2) ogf] A244213 6.37746 [{a(n+3)+2*a(n+2)-a(n),a(0)=-2,a(1)=3,a(2)=-1} ogf] A244218 6.10348 [x*(x^11+x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A244219 6.07356 [x*(x^11+x^10+x^9+2*x^8+x^7+x^6+x^5+2*x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A244221 15.1209 [-x^13*(x-1)+x*(x^3-x^2+1) ogf_with_Euler_transform] A244224 8.25276 [(x^12+x^10+x^9+x^7+x^5+x^4+x^2+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A244225 16.6303 [-x^13*(x-1)+x^4-x^3+x+1 ogf_with_Euler_transform] A244225 9.68594 [x*(x^2+x+1)*(x^2+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A244229 7.87753 [x^2*(x^12+x^10+x^8+x^7+x^5+x^3+x^2+1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A244239 8.94428 [-(x^6-2*x^4-x^3+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A244240 6.11719 [-(x^4-x-1)*(x^8-x^5-2*x^4+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A244276 12.7467 [-(5*x^3+8*x^2+3*x+8)/(-x^4+1) ogf_with_Euler_transform] A244276 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/4*Pi)*Pi^(5/4)*2^(3/4)/GAMMA(3/4)^5 A244281 5.23036 [-x^2*(3*x^7+2*x^6+x^4-3*x^3-x+1)/(x^2+x-1)/(x^3+x-1)/(x^4+x-1)/(x-1)^2 ogf] A244307 7.58657 [x*(x^3-x+2)/(x+1)^2/(x-1)^6 ogf] A244307 9.03569 [-(-5*x^4-4*x^3+4*x^2-12*x-7)/(-x^5+2*x^3-2*x^2-x+2) lgdogf] A244309 6.86416 [2*x^3*(x^2-x+2)/(x+1)/(x^2-3*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A244310 5.58427 [2*(x^6-8*x^5+17*x^4+23*x^3+5*x^2-10*x+2)/(x+1)/(x^2-3*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A244328 12.8120 [x^2*(x^4-x^3+2*x^2-3)/(x-1) ogf] A244331 3.66478 [-f(x)*(2*f(x)*x^3-5*f(x)*x^2+2*x^3+4*f(x)*x-x^2-f(x)+x) ogf] A244331 6.25831 [-x*(2*x^2-x+1)/(2*x-1)/(x-1)^2 ogf] A244346 10.7571 [(2*x^4-11*x^3+3*x^2+x-4)/(x-1)/(x+1)/(x^2-x+1) ogf] A244346 5.9507 [-(45149*f(x)-325125)*(f(x)*x^4-f(x)*x^3-2*x^4+11*x^3+f(x)*x-3*x^2-f(x)-x+4) ogf] A244352 5.71219 [4*x^2*(3*x^3-4*x^2+8*x+1)/(x+1)/(x^2-6*x+1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A244364 6.26571 [-(284*x^6-334*x^5+78*x^4-35*x^3+4*x^2+5*x-3)/(2*x-1)/(x-1) ogf] A244366 6.96259 [-(-4*x^9+x^8+x^7-2*x^6+x^5-2*x^4-x^3+2*x^2-x-1)/(x^10+x^5+1) ogf_with_Euler_transform] A244375 5.62381 [-(-2*x^8+3*x^7-5*x^6+2*x^4-2*x^3-2*x^2+5*x-3)/(x^9+x^6+x^3+1) ogf_with_Euler_transform] A244430 21.0362 [-1/(x^2+x-1) lgdegf] A244430 6.41784 [{(n^2+n)*a(n)+(n+2)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A244432 18.9729 [-1/(x^2+2*x-1) lgdegf] A244432 5.78836 [{(-n^2-n)*a(n)+(-2*n-3)*a(n+1)+a(n+2),a(0)=1,a(1)=1} ogf] A244451 19.5555 [-1/(-x^2+3*x-1) lgdegf] A244451 5.96608 [{(-n^2-n)*a(n)+(3*n+4)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A244465 7.54018 [-(x^7+x^4+x^2)/(-x^8+1) ogf_with_Euler_transform] A244469 6.6308 [108*f(x)^3*x^2+108*f(x)^2*x^2-f(x)^3+36*f(x)*x^2-f(x)^2-3*f(x)*x+4*x^2 ogf] A244469 7.03440 [1/8*(3+(432*x^4+864*x^3+576*x^2+160*x+25)^(1/2))/(27*x^3+27*x^2+9*x+1)*x revogf] A244470 9.20625 [-(2*x^8+x^5+2*x^4+2*x^2+x+1)/(x^2+x-1)/(x^4-x^3+2*x^2+x+1) ogf] A244472 10.7804 [-(x^4+x^3+x^2+x+1)/(x^2+x-1) ogf] A244472 5.85709 [{-a(n+5)+a(n+4)+a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=7,a(4)=12} ogf] A244472 6.46825 [-(51*f(x)+10)*(x^4+f(x)*x^2+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A244473 8.27017 [-(x^7+x^6+x^5+2*x^4+3*x^3+x^2+2*x+1)/(x^2+x-1) ogf] A244477 11.3608 [(2*x^5+x^4-3*x^3+x^2+2*x+3)/(x-1)^2/(x^2+x+1)^2 ogf] A244488 4.48344 [(x^10+x^8+3*x^7+4*x^6+4*x^5+4*x^4+3*x^3+x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A244495 5.05095 [(x^6+24*x^5+156*x^4+280*x^3+156*x^2+24*x+1)/(x-1)^10 ogf] A244497 12.1253 [-(-3*x^3-20*x^2-26*x-11)/(-x^4-3*x^3+3*x+1) lgdogf] A244497 8.26725 [(x^2+3*x+1)^2/(x+1)/(x-1)^6 ogf] A244498 5.05095 [(x^2+20*x+1)*(x^2+4*x+1)*(x+1)^2/(x-1)^10 ogf] A244498 7.36240 [-(-4*x^5-132*x^4-784*x^3-1224*x^2-460*x-36)/(-x^6-24*x^5-81*x^4+81*x^2+24*x+1) lgdogf] A244501 5.71929 [-(6*x^7-17*x^6+14*x^5-6*x^4-4*x^3+20*x^2+x+1)/(x-1)^7 ogf] A244502 4.43669 [(10*x^9-30*x^8+130*x^6-333*x^5+444*x^4-236*x^3+24*x^2-81*x-33)/(x-1)^9 ogf] A244525 8.10925 [-(-x^7-x^6-1)/(x^8-1) ogf_with_Euler_transform] A244526 9.07158 [-(2*x^7+2*x^4+2*x^2)/(-x^8+1) ogf_with_Euler_transform] A244540 5.59555 [-(-2*x^6+x^5-2*x^4-x^3-x^2-3)/(x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A244543 8.72564 [-(2*x^5-x^4+2*x+1)/(-x^6-x^4-x^2-1) ogf_with_Euler_transform] A244544 12.7747 [-(2*x^3-2*x^2+2)/(-x^4-1) ogf_with_Euler_transform] A244550 8.67588 [(20700*x^6-6*x^5+1090*x^4-20769*x^3-5*x^2-1093*x-2)/(x-1)/(x^2+x+1) ogf] A244553 7.98370 [-(-2*x^5-x^4-2*x+1)/(x^6+x^4+x^2+1) ogf_with_Euler_transform] A244554 4.72606 [-(2*x^6+x^5+4*x^4+x^3+x^2-2*x+1)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A244560 9.75623 [-(-2*x^7-2*x^6-2)/(x^8-1) ogf_with_Euler_transform] A244581 6.83374 [-x*(x^86+2*x^85+30*x^9+25*x^8+20*x^7+16*x^6+12*x^5+9*x^4+6*x^3+4*x^2+2*x+1)/(3*x^86-2*x^85-30*x^11+35*x^10-x^8-x^6-x^4-x^2-1) ogf] A244584 14.4582 [(x^4+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A244584 8.00116 [-f(x)*(x^5*f(x)-f(x)*x^4-x^4-f(x)*x+f(x)-3) ogf] A244586 10.1001 [(x^5-3*x+4)/(x^4+1)/(x-1)^2 ogf] A244587 7.99697 [(x^6+x^4-3*x^2+5)/(x+1)/(x^4+1)/(x-1)^2 ogf] A244588 6.31340 [(x^7-x^5+2*x^4-3*x^3+4*x^2-5*x+6)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A244590 6.46839 [x^2*(7*x^6+3*x^5+4*x^4+2*x^3+5*x^2+3*x+4)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A244594 13.8816 [f(x)^3+f(x)*x-4*f(x)+3 ogf] A244600 7.96749 [-(-x^5-x^4-x^3-x^2-x-1)/(x^7-1) ogf_with_Euler_transform] A244620 4.06317 [-(7930683006498539773395*f(x)+182785409998165707428697401378)*(f(x)*x^3-f(x)*x^2-f(x)*x-3521232*x^2+f(x)-2657248*x-3521210) ogf] A244620 5.67604 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=3521210,a(1)=6178458,a(2)=13220900} ogf] A244620 9.41216 [22*(160056*x^2+120784*x+160055)/(x+1)/(x-1)^2 ogf] A244627 12.0919 [f(x)^3+4*f(x)*x-5*f(x)+4 ogf] A244630 13.2807 [-17*x*(x+1)/(x-1)^3 ogf] A244630 17.8082 [-(2*x+4)/(x^2-1) lgdogf] A244630 37.0645 [[4-x] ogf_with_Euler_transform] A244630 6.93419 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=17,a(2)=68} ogf] A244630 7.12331 [(4*f(x)+17)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)+17*x) ogf] A244631 13.4066 [-19*x*(x+1)/(x-1)^3 ogf] A244631 17.9770 [-(2*x+4)/(x^2-1) lgdogf] A244631 37.4158 [[4-x] ogf_with_Euler_transform] A244631 6.99991 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=19,a(2)=76} ogf] A244631 7.19083 [(4*f(x)+19)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19*x^2-f(x)+19*x) ogf] A244632 13.5954 [-23*x*(x+1)/(x-1)^3 ogf] A244632 18.2302 [-(2*x+4)/(x^2-1) lgdogf] A244632 37.9428 [[4-x] ogf_with_Euler_transform] A244632 7.09850 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=23,a(2)=92} ogf] A244632 7.29211 [(4*f(x)+23)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+23*x^2-f(x)+23*x) ogf] A244633 13.7213 [-26*x*(x+1)/(x-1)^3 ogf] A244633 18.3990 [-(2*x+4)/(x^2-1) lgdogf] A244633 38.2941 [[4-x] ogf_with_Euler_transform] A244633 7.10139 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=26,a(2)=104} ogf] A244633 7.35962 [(2*f(x)+13)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+26*x^2-f(x)+26*x) ogf] A244634 13.7213 [-27*x*(x+1)/(x-1)^3 ogf] A244634 18.3990 [-(2*x+4)/(x^2-1) lgdogf] A244634 38.2941 [[4-x] ogf_with_Euler_transform] A244634 7.10139 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=27,a(2)=108} ogf] A244634 7.35962 [(4*f(x)+27)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)+27*x) ogf] A244635 13.8472 [-29*x*(x+1)/(x-1)^3 ogf] A244635 18.5678 [-(2*x+4)/(x^2-1) lgdogf] A244635 38.6454 [[4-x] ogf_with_Euler_transform] A244635 7.16654 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=29,a(2)=116} ogf] A244635 7.42714 [(4*f(x)+29)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+29*x^2-f(x)+29*x) ogf] A244636 13.8472 [-30*x*(x+1)/(x-1)^3 ogf] A244636 18.5678 [-(2*x+4)/(x^2-1) lgdogf] A244636 38.6454 [[4-x] ogf_with_Euler_transform] A244636 7.16654 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=30,a(2)=120} ogf] A244636 7.42714 [(2*f(x)+15)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+30*x^2-f(x)+30*x) ogf] A244644 11.0052 [x*(x^18-x^17+2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A244650 8.81693 [-5/2/x/(x-1)^(1/2)/(5*x-1)^(1/2)-1/2*(8*x-5)/(x-1)/x lgdogf] A244651 7.51955 [-3/2/(x-1)^(1/2)*(1+3*x)/x/(9*x-1)^(1/2)-1/2*(7*x-3)/(x-1)/x lgdogf] A244663 4.10331 [(424534729061223*f(x)+982977588946000)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+2000*x^2-f(x)-2210*x+111) ogf] A244663 4.81828 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=111,a(1)=10111,a(2)=1001111} ogf] A244663 8.25991 [-(2000*x^2-2210*x+111)/(x-1)/(100*x-1)/(10*x-1) ogf] A244694 5.70924 [-(14*x^6-9*x^5+11*x^4+4*x^3+16*x^2+6*x-39)/(x-1)/(x+1)/(x^5-x^4+2*x^3-x^2+3*x-1) ogf] A244713 6.55170 [(2*x+1)*(x^2+x+1)*(x^7+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A244725 10.6178 [5*x*(x^2+4*x+1)/(x-1)^4 ogf] A244725 12.0880 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A244725 3.94834 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=5,a(2)=40,a(3)=135} ogf] A244725 5.49454 [-(132*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-20*x^2+f(x)-5*x) ogf] A244726 10.7653 [6*x*(x^2+4*x+1)/(x-1)^4 ogf] A244726 12.2559 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A244726 4.00318 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=6,a(2)=48,a(3)=162} ogf] A244726 5.57085 [-(110*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-24*x^2+f(x)-6*x) ogf] A244727 10.8145 [7*x*(x^2+4*x+1)/(x-1)^4 ogf] A244727 12.3118 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A244727 4.02146 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=7,a(2)=56,a(3)=189} ogf] A244727 5.59629 [-(660*f(x)+7609)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x-28*x^2+f(x)-7*x) ogf] A244728 10.5888 [9*x*(x^2+4*x+1)/(x-1)^4 ogf] A244728 12.0549 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A244728 3.93754 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=9,a(2)=72,a(3)=243} ogf] A244728 5.4795 [-(220*f(x)+3261)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-36*x^2+f(x)-9*x) ogf] A244729 10.4527 [10*x*(x^2+4*x+1)/(x-1)^4 ogf] A244729 12.2216 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A244729 3.97201 [{(n+3)*a(n+4)+(-2+3*n)*a(n+3)+(-17-3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=10,a(2)=80,a(3)=270} ogf] A244729 5.51668 [-(66*f(x)+1087)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-10*x^3-4*f(x)*x-40*x^2+f(x)-10*x) ogf] A244730 10.2043 [-(2*x^3+36*x^2+66*x+16)/(x^4+10*x^3-10*x-1) lgdogf] A244730 4.36518 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+32*n+72)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=2,a(2)=32} ogf] A244730 8.44873 [-2*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A244749 10.3943 [(7*x^5+14*x^4+6*x^3-5*x^2-7*x-2)/(x+1)/(3*x^2-1) ogf] A244750 3.39516 [-f(x)*(-2*x^3+2*f(x)*x-x^2-f(x)+2*x) ogf] A244750 5.19667 [x*(2*x^2+x-2)/(2*x-1) ogf] A244762 11.4745 [-(6*x^3-6*x^2+7*x-3)/(6*x^4-14*x^3+13*x^2-6*x+1) lgdogf] A244762 15.4248 [-(2*x^2-2*x+1)/(3*x-1)/(x-1)^2 ogf] A244762 8.25362 [(169*f(x)-17)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A244762 8.32666 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A244802 13.7020 [-(-16*x^2-46*x-10)/(-16*x^3+9*x^2+6*x+1) lgdogf] A244802 15.0280 [-(16*x^2+7*x+1)/(x-1)^3 ogf] A244802 7.7003 [(59456*f(x)-442355)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+7*x+1) ogf] A244802 8.17312 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=43} ogf] A244803 13.7020 [-(14*x^2+46*x+12)/(14*x^3-5*x^2-8*x-1) lgdogf] A244803 15.0280 [-(2*x+1)*(7*x+1)/(x-1)^3 ogf] A244803 7.45389 [(1785024*f(x)-13624019)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)+9*x+1) ogf] A244803 8.17312 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=47} ogf] A244804 13.5034 [-(12*x^2+46*x+14)/(12*x^3-x^2-10*x-1) lgdogf] A244804 14.7895 [-(12*x^2+11*x+1)/(x-1)^3 ogf] A244804 7.39473 [(1978560*f(x)-15776341)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)+11*x+1) ogf] A244804 8.17312 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=14,a(2)=51} ogf] A244805 13.5592 [-(10*x^2+46*x+16)/(10*x^3+3*x^2-12*x-1) lgdogf] A244805 14.8506 [-(10*x^2+13*x+1)/(x-1)^3 ogf] A244805 7.66874 [(80960*f(x)-686981)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+13*x+1) ogf] A244805 8.20689 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=55} ogf] A244806 13.9640 [-(8*x^2+46*x+18)/(8*x^3+7*x^2-14*x-1) lgdogf] A244806 15.0901 [-(8*x^2+15*x+1)/(x-1)^3 ogf] A244806 7.60639 [(343872*f(x)-3160367)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+15*x+1) ogf] A244806 8.20689 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=18,a(2)=59} ogf] A244842 12.0859 [-99*x/(x-1)/(100*x-1)/(10*x-1) ogf] A244842 5.26323 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=99,a(2)=10989} ogf] A244842 5.93309 [(37*f(x)+33)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+99*x) ogf] A244842 8.15800 [-(3000*x^2-2220*x+111)/(1000*x^3-1110*x^2+111*x-1) lgdogf] A244845 3.38452 [-(596454545356536051*f(x)-59536339247131523900)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-89000*x^2-f(x)+88790*x+111) ogf] A244845 4.26854 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=111,a(1)=101111,a(2)=11011111} ogf] A244845 7.24030 [(89000*x^2-88790*x-111)/(x-1)/(100*x-1)/(10*x-1) ogf] A244855 8.33756 [x^2*(x^2-5*x-15)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A244864 12.0768 [-(3*x^3+19*x^2+28*x+10)/(x^4+3*x^3-3*x-1) lgdogf] A244864 5.03200 [{(n^2+3*n-4)*a(n+1)+(-2*n^2-14*n-80)*a(n+2)+(n^2+11*n+24)*a(n+3),a(0)=1,a(1)=10,a(2)=49} ogf] A244864 9.43500 [(x+1)*(x^2+3*x+1)/(x-1)^6 ogf] A244865 3.88466 [{(n^2+8*n+15)*a(n+1)+(-n^2-10*n-66)*a(n+2)+(-n^2-8*n-57)*a(n+3)+(n^2+10*n+24)*a(n+4),a(0)=1,a(1)=14,a(2)=85,a(3)=336} ogf] A244865 8.11007 [-(x^4+8*x^3+15*x^2+8*x+1)/(x+1)/(x-1)^7 ogf] A244865 8.18184 [-(4*x^5+46*x^4+142*x^3+170*x^2+86*x+14)/(x^6+8*x^5+14*x^4-14*x^2-8*x-1) lgdogf] A244866 10.7913 [-(12*x^3+96*x^2+102*x+18)/(4*x^4+17*x^3-9*x^2-11*x-1) lgdogf] A244866 4.78999 [{(-353*n^2-2761*n-5396)*a(n+1)+(288*n^2+324*n-900)*a(n+2)+(65*n^2+347*n+456)*a(n+3),a(0)=1,a(1)=18,a(2)=114} ogf] A244866 9.57999 [(4*x^3+21*x^2+12*x+1)/(x-1)^6 ogf] A244867 7.23646 [(6*x^4+64*x^3+92*x^2+24*x+1)/(x-1)^8 ogf] A244867 8.37554 [-(-24*x^4-344*x^3-744*x^2-352*x-32)/(-6*x^5-58*x^4-28*x^3+68*x^2+23*x+1) lgdogf] A244868 8.70762 [(x^2+3*x+1)*(x^2+13*x+1)/(x-1)^6 ogf] A244868 8.78976 [-(-2*x^4-52*x^3-212*x^2-162*x-22)/(-x^5-15*x^4-25*x^3+25*x^2+15*x+1) lgdogf] A244869 8.46988 [(x^4+4*x^3+7*x^2+4*x+1)/(x+1)/(x-1)^6 ogf] A244869 8.54831 [-(3*x^5+21*x^4+59*x^3+71*x^2+41*x+9)/(x^6+4*x^5+6*x^4-6*x^2-4*x-1) lgdogf] A244870 7.11070 [(x^4+3*x^3+6*x^2+3*x+1)/(x+1)/(x-1)^6 ogf] A244870 7.17654 [-(3*x^5+17*x^4+49*x^3+57*x^2+34*x+8)/(x^6+3*x^5+5*x^4-5*x^2-3*x-1) lgdogf] A244871 6.07855 [-(x^2+3*x+1)*(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^7 ogf] A244872 5.37992 [(x^6+8*x^5+29*x^4+43*x^3+29*x^2+8*x+1)/(x+1)/(x-1)^8 ogf] A244873 5.56085 [(x^6+22*x^5+106*x^4+169*x^3+106*x^2+22*x+1)/(x+1)/(x-1)^8 ogf] A244874 5.39950 [(x^6+10*x^5+38*x^4+60*x^3+38*x^2+10*x+1)/(x+1)/(x-1)^8 ogf] A244875 5.21368 [(x^6+14*x^5+52*x^4+77*x^3+52*x^2+14*x+1)/(x+1)/(x-1)^8 ogf] A244876 4.34246 [(x^8+13*x^7+71*x^6+174*x^5+238*x^4+174*x^3+71*x^2+13*x+1)/(x+1)^3/(x-1)^8 ogf] A244878 4.96175 [(x^6+6*x^5+30*x^4+40*x^3+30*x^2+6*x+1)/(x+1)/(x-1)^10 ogf] A244879 6.90160 [-(x^4+11*x^3+24*x^2+11*x+1)/(x-1)^7 ogf] A244879 7.55270 [-(-3*x^4-48*x^3-153*x^2-114*x-18)/(-x^5-10*x^4-13*x^3+13*x^2+10*x+1) lgdogf] A244880 5.44773 [-(x^2+6*x+1)*(x^4+32*x^3+70*x^2+32*x+1)/(x-1)^9 ogf] A244881 5.74422 [(x+1)*(x^4+25*x^3+84*x^2+25*x+1)/(x-1)^8 ogf] A244882 13.9569 [-(-8*x^2-14*x-8)/(-2*x^3+x+1) lgdogf] A244882 4.30022 [{(-n-4)*a(n+4)+(5-n)*a(n+3)+14*a(n+2)+(10+2*n)*a(n+1),a(0)=1,a(1)=8,a(2)=35,a(3)=110} ogf] A244882 9.04024 [(2*x^2+2*x+1)/(x-1)^6 ogf] A244883 6.47712 [(x^4+8*x^3+16*x^2+6*x+1)/(x-1)^8 ogf] A244883 7.81065 [-(4*x^4+44*x^3+120*x^2+74*x+14)/(x^5+7*x^4+8*x^3-10*x^2-5*x-1) lgdogf] A244884 6.14209 [f(x)^2*x^2-2*f(x)*x^3+x^4-f(x)*x^2+x^3+2*f(x)*x-x^2-f(x)-x+1 ogf] A244885 3.94751 [{-2*a(n)*n+(7*n-1)*a(n+1)+(-5*n+3)*a(n+2)+(n-1)*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=14} ogf] A244885 5.29075 [-f(x)*(4*f(x)*x^4-16*f(x)*x^3-x^4+17*f(x)*x^2+8*x^3-7*f(x)*x-12*x^2+f(x)+6*x-1) ogf] A244885 8.65760 [(x-1)*(x^3-7*x^2+5*x-1)/(x^2-3*x+1)/(2*x-1)^2 ogf] A244887 6.59104 [{(-4*n^2-42*n-108)*a(n+1)+(n^2+10*n+16)*a(n+2),a(0)=2,a(1)=20} ogf] A244887 7.41492 [(-2/(-1+4*x)^(3/2)*(7*x^3+63*x^2-28*x+3)+6*I)/(x^2+8*x-2)/x*(-1+4*x)^(1/2) lgdogf] A244892 10.3271 [-(5*x^4+2*x^3+5*x^2+2*x+5)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A244893 11.7765 [-(x+1)*(x^2+x+2)/(x-1)/(x^2+x+1) ogf] A244893 6.99232 [{-a(n+4)+a(n+1),a(0)=2,a(1)=3,a(2)=2,a(3)=3} ogf] A244893 7.89722 [(21*f(x)-82)*(f(x)*x^3+x^3+2*x^2-f(x)+3*x+2) ogf] A244895 21.0563 [[x^4-2*x+1] ogf_with_Euler_transform] A244895 5.51781 [f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x-2*x^2+f(x)-x ogf] A244895 8.39010 [x*(x+1)^2/(x^4+x^3+x^2+x+1) ogf] A244919 13.9704 [-f(x)*x+f(x)-x-2 ogf] A244919 16.9911 [-(x+2)/(x-1) ogf] A244919 17.4631 [-3/(x^2+x-2) lgdogf] A244919 8.73153 [{a(n+2)-a(n+1),a(0)=2,a(1)=3} ogf] A244953 12.5045 [x*(x^2+2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A244975 10.9742 [-(28*x^2+19*x-11)/(14*x^3-9*x^2-6*x+1) lgdogf] A244975 12.8663 [-(2*x+1)*x/(7*x-1)/(x-1)^2 ogf] A244975 6.60396 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=0,a(1)=1,a(2)=11} ogf] A244975 6.84631 [(11*f(x)+1)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x+2*x^2-f(x)+x) ogf] A245019 13.3945 [-2*x/(4*x-1)/(3*x-1)/(5*x-1) ogf] A245019 5.59075 [{a(n+3)-12*a(n+2)+47*a(n+1)-60*a(n),a(0)=0,a(1)=2,a(2)=24} ogf] A245019 6.3033 [(6*f(x)+1)*(60*f(x)*x^3-47*f(x)*x^2+12*f(x)*x-f(x)+2*x) ogf] A245019 9.05544 [-(180*x^2-94*x+12)/(60*x^3-47*x^2+12*x-1) lgdogf] A245020 14.3197 [-2*x/(6*x-1)/(4*x-1)/(5*x-1) ogf] A245020 6.04884 [{a(n+3)-15*a(n+2)+74*a(n+1)-120*a(n),a(0)=0,a(1)=2,a(2)=30} ogf] A245020 6.74679 [(15*f(x)+2)*(120*f(x)*x^3-74*f(x)*x^2+15*f(x)*x-f(x)+2*x) ogf] A245020 9.61186 [-(360*x^2-148*x+15)/(120*x^3-74*x^2+15*x-1) lgdogf] A245023 15.2383 [-3*(8*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A245023 8.1271 [-(10*f(x)-21)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+24*x^2-f(x)-15*x+3) ogf] A245023 8.63056 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=3,a(1)=3,a(2)=9} ogf] A245023 9.20050 [-(48*x^4-60*x^3+25*x^2-6*x+1)/(48*x^5-118*x^4+109*x^3-49*x^2+11*x-1) lgdogf] A245031 7.59631 [-x*(x^2+20*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A245032 5.32922 [(16896*f(x)-2167505)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-49*x^3-4*f(x)*x-124*x^2+f(x)+257*x-108) ogf] A245032 8.63894 [-(49*x^3+395*x^2-523*x+175)/(49*x^4+75*x^3-381*x^2+365*x-108) lgdogf] A245032 9.77023 [(49*x^3+124*x^2-257*x+108)/(x-1)^4 ogf] A245033 4.89899 [(3481600*f(x)-969291273)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-108*x^3-4*f(x)*x+257*x^2+f(x)-124*x-49) ogf] A245033 8.06292 [-(-108*x^3+190*x^2+142*x-320)/(-108*x^4+365*x^3-381*x^2+75*x+49) lgdogf] A245033 9.21476 [(108*x^3-257*x^2+124*x+49)/(x-1)^4 ogf] A245066 11.3471 [hypergeom([1/3,2/3],[1],27/2*x) egf] A245066 5.32819 [{(-27*n^2-81*n-60)*a(n+1)+(2*n+4)*a(n+2),a(0)=1,a(1)=3} ogf] A245070 6.28638 [-(2*x^11+2*x^10+3*x^9+2*x^8+2*x^7+4*x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A245086 4.91829 [{(-27*n^2-108*n-105)*a(n+1)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=0,a(2)=-6} ogf] A245094 8.25946 [(2*x^8-4*x^7-x^6+3*x^5+3*x^4+3*x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A245112 11.2455 [1/2*x*2^(1/2)*(1+(1-16*x)^(1/2))^(1/2) revogf] A245112 3.63661 [{(-12500*n^4-100000*n^3-290000*n^2-360000*n-161280)*a(n+1)+(27*n^4+297*n^3+1212*n^2+2172*n+1440)*a(n+3),a(0)=1,a(1)=2,a(2)=18} ogf] A245113 5.11037 [{(-432*n^3-1944*n^2-2868*n-1386)*a(n+1)+(16*n^3+96*n^2+191*n+126)*a(n+2),a(0)=1,a(1)=2} ogf] A245135 5.62377 [-(x^7-2*x^6-x^5+12*x^4+21*x^3+18*x^2+23*x+8)/(x+1)^3/(x-1)^5 ogf] A245158 6.14225 [(11*x^5-31*x^4+43*x^3-29*x^2+9*x-1)/(4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A245159 4.03190 [(124*x^7-425*x^6+710*x^5-656*x^4+346*x^3-103*x^2+16*x-1)/(5*x-1)/(x-1)^2/(3*x-1)^2/(2*x-1)^2 ogf] A245176 4.77480 [{(-n-3)*a(n+1)+(n+2)*a(n+2)-a(n+4)+2*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A245179 12.1938 [-(14*x^3+8*x^2-11*x-7)/(x-1)/(x+1)/(2*x^2-1) ogf] A245179 7.49528 [-(42*f(x)-53)*(2*f(x)*x^4-3*f(x)*x^2+14*x^3+8*x^2+f(x)-11*x-7) ogf] A245231 10.6614 [x*(2*x^6+x^5+2*x^4+x^3+x^2+x+2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A245288 10.0827 [-(-8*x^3-5*x^2-10*x-1)/(-2*x^4-x^3+x^2+x+1) lgdogf] A245288 11.1876 [-x^2*(2*x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A245301 12.5931 [x*(2*x+5)/(x-1)^4 ogf] A245301 16.7051 [-(6*x+22)/(2*x^2+3*x-5) lgdogf] A245301 5.38520 [{(10+5*n)*a(n+3)+(-25-3*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=5,a(2)=22} ogf] A245301 5.97481 [(1231370*f(x)+4085371)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-5*x) ogf] A245306 11.1978 [-(2*x^3-4*x^2-x+1)/(x^2-3*x+1)/(x-1)/(x+1) ogf] A245306 6.28168 [(174*f(x)+157)*(f(x)*x^4-3*f(x)*x^3+2*x^3+3*f(x)*x-4*x^2-f(x)-x+1) ogf] A245323 5.38479 [2*(51*x^4-622*x^3+148*x^2-59*x+2)/(x^2-18*x+1)/(x^2-7*x+1)/(x^2-47*x+1) ogf] A245332 7.97897 [x^5*(x^2+2*x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^3+x^2-1) ogf] A245336 4.42368 [x*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)^2/(x^2+1)^2/(x^4+1)^2/(x-1)^3 ogf] A245367 13.7933 [-(7*x^6+5*x^4+3*x^2)/(x^7+x^5+x^3-1) lgdogf] A245367 25.5680 [-1/(x^7+x^5+x^3-1) ogf] A245368 10.7093 [-(-7*x^6-4*x^3-3*x^2)/(-x^7-x^4-x^3+1) lgdogf] A245368 19.8514 [-1/(x^7+x^4+x^3-1) ogf] A245369 14.0088 [-(-8*x^7-5*x^4-3*x^2)/(-x^8-x^5-x^3+1) lgdogf] A245369 23.6593 [-1/(x^2+1)/(x^6-x^4+x^3+x^2-1) ogf] A245370 14.2808 [-(9*x^8+5*x^4+3*x^2)/(x^9+x^5+x^3-1) lgdogf] A245370 26.4717 [-1/(x^9+x^5+x^3-1) ogf] A245380 4.45555 [{(-n^2-4*n-4)*a(n+1)+(2*n^2+8*n+28)*a(n+2)+(-n^2-4*n-4)*a(n+3),a(0)=0,a(1)=1,a(2)=22} ogf] A245380 7.02452 [x*(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^6 ogf] A245380 7.35587 [-(-2*x^4-52*x^3-192*x^2-152*x-22)/(-x^5-15*x^4-20*x^3+20*x^2+15*x+1) lgdogf] A245391 6.08074 [{(-8*n^2-44*n-60)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=8} ogf] A245391 9.5109 [32*f(x)^2*x^3-4*f(x)^2*x^2+8*f(x)*x-f(x)+1 ogf] A245391 9.89133 [(-(12*x-1)/(-1+8*x)^(1/2)+I)/(-1+8*x)^(1/2)/x lgdogf] A245421 11.1818 [-(-2*x^4+x^3-x+2)/(-x^6-x^3-1) ogf_with_Euler_transform] A245424 11.1818 [-(x^4+x^3-x-1)/(x^6+x^3+1) ogf_with_Euler_transform] A245432 9.96496 [-(x^4-2*x^3+2*x-1)/(x^6+x^4+x^2+1) ogf_with_Euler_transform] A245433 9.71640 [-(x^4-x^3+x-1)/(x^6+x^4+x^2+1) ogf_with_Euler_transform] A245436 15.8330 [-(-2*x^2+2)/(-x^4-1) ogf_with_Euler_transform] A245437 10.0450 [-(6*x^5-4*x^3-2*x-1)/(x^6-x^4-x^2-x+1) lgdogf] A245437 16.4000 [x^5/(x^6-x^4-x^2-x+1) ogf] A245455 7.40635 [3*f(x)^2*x-6*f(x)*x^2+4*x^3-f(x)^2-f(x)*x+4*x^2+f(x)+x ogf] A245467 10.0827 [-(3*x^4+13*x^2+6*x+2)/(x^5+x^3+x^2-2*x-1) lgdogf] A245467 11.1876 [-x^2*(x^3+2*x+1)/(x-1)^3/(x+1)^3 ogf] A245477 10.8283 [-(2*x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A245478 10.8649 [{a(n+3)-5*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A245478 11.0098 [(5*f(x)-1)*(5*f(x)*x^3+4*x^2-f(x)+2*x+1) ogf] A245478 16.8517 [-(4*x^2+2*x+1)/(5*x^3-1) ogf] A245478 8.17557 [-(-20*x^4-20*x^3-15*x^2-8*x-2)/(-20*x^5-10*x^4-5*x^3+4*x^2+2*x+1) lgdogf] A245479 14.2686 [-(2*x+1)*(3*x^2+1)/(7*x^4-1) ogf] A245479 8.93748 [-(448*f(x)-169)*(7*f(x)*x^4+6*x^3+3*x^2-f(x)+2*x+1) ogf] A245480 13.9089 [-(2*x+1)*(5*x^2+1)/(11*x^4-1) ogf] A245480 9.11806 [(2024*f(x)-481)*(11*f(x)*x^4+10*x^3+5*x^2-f(x)+2*x+1) ogf] A245481 10.9427 [-(12*x^5+6*x^4+4*x^3+3*x^2+2*x+1)/(13*x^6-1) ogf] A245487 5.81001 [x^7*(x^3+2*x^2+2*x+2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^4+x^3-1) ogf] A245489 12.0176 [-(2*x^2+2*x-1)/(2*x+1)/(4*x-1)/(x-1) ogf] A245489 6.26557 [-(41*f(x)-11)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A245489 6.54529 [{-a(n+3)+3*a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A245489 7.25814 [-(-16*x^4-32*x^3+30*x^2-8*x-1)/(-16*x^5-4*x^4+26*x^3-2*x^2-5*x+1) lgdogf] A245492 4.77255 [x^8*(x^4+x^3+2*x^2+2*x+2)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^5+x^3-1) ogf] A245524 10.6691 [-(5*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A245524 9.89788 [-(15*x^3+13*x^2+17*x+3)/(5*x^4+2*x^3-4*x^2-2*x-1) lgdogf] A245527 4.43051 [x^9*(x^4+2*x^3+2*x^2+2*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^5+x^4-1) ogf] A245534 9.12804 [-(-4*x^4-5*x^3-23*x^2-11*x-5)/(-2*x^5-x^4-2*x^3+4*x+1) lgdogf] A245534 9.66499 [-(2*x^3+x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A245551 16.5465 [-(-15*x-5)/(-3*x^2-2*x+1) lgdogf] A245551 5.33406 [{(n+3)*a(n+3)+(-9-2*n)*a(n+2)+(-18-3*n)*a(n+1),a(0)=1,a(1)=5,a(2)=25} ogf] A245561 10.5935 [-x*(5*x^2-1)/(5*x-1)/(x-1)/(5*x^2-5*x+1) ogf] A245561 5.41446 [-(18*f(x)-53)*(25*f(x)*x^4-55*f(x)*x^3+40*f(x)*x^2+5*x^3-11*f(x)*x+f(x)-x) ogf] A245573 11.6614 [-x*(2*x^9-x^7-x^5+x^4-x^2-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A245578 10.6243 [-(-2*x^4+16*x^2-16*x-10)/(-7*x^6+12*x^5+9*x^4-20*x^3-3*x^2+8*x+1) lgdogf] A245578 13.7571 [-(7*x^4-12*x^3-2*x^2+8*x+1)/(x+1)/(x-1)^3 ogf] A245578 7.94856 [-(49*f(x)+121)*(f(x)*x^4-2*f(x)*x^3+7*x^4-12*x^3+2*f(x)*x-2*x^2-f(x)+8*x+1) ogf] A245580 13.6716 [-(x^2+6*x+3)/(x^2+4*x-1) ogf] A245580 6.96726 [{a(n+3)-4*a(n+2)-a(n+1),a(0)=3,a(1)=18,a(2)=76} ogf] A245580 7.03492 [-(1525*f(x)+1986)*(f(x)*x^2+4*f(x)*x+x^2-f(x)+6*x+3) ogf] A245580 9.66127 [-(2*x^2+8*x+18)/(x^4+10*x^3+26*x^2+6*x-3) lgdogf] A245581 11.3112 [-(-6*x^3+6*x^2-10*x-2)/(-3*x^4+4*x^3-4*x+3) lgdogf] A245581 12.7034 [-x*(3*x^2-4*x+3)/(x+1)/(x-1)^3 ogf] A245581 6.76819 [-(462*f(x)+25)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x-4*x^2-f(x)+3*x) ogf] A245596 9.44249 [-(x^6+x^3+1)/(x^2+x+1)/(x^4+x-1) ogf] A245599 8.81125 [(83*f(x)+38)*(8*f(x)*x^2-9*f(x)*x+f(x)-2*x-1) ogf] A245621 8.30956 [x*(x^6+x^5+18*x^4+4*x^3+21*x^2+x+2)/(x-1)^4/(x+1)^4 ogf] A245624 9.06146 [(3*x^5+x^4+24*x^3+4*x^2+15*x+1)/(x-1)^4/(x+1)^4 ogf] A245643 12.0578 [-(-5*x^2-x-6)/(x^3-x^2+x-1) ogf_with_Euler_transform] A245643 99.9999 Evaluated at exp(-Pi) 1/2*Pi^(5/4)/GAMMA(3/4)^5 A245668 99.9999 Evaluated at exp(-Pi) 1/16*GAMMA(2/3)^2/GAMMA(3/4)*2^(1/2)*3^(1/4)/Pi^(1/4)*(1+3^(1/2))^2/GAMMA(11/12)^2 A245669 99.9999 Evaluated at exp(-Pi) 1/27*exp(Pi)*Pi^(9/4)/GAMMA(2/3)^3*3^(3/4)*(3^(1/2)-1)^3/GAMMA(7/12)^3 A245679 8.30968 [x^3*(x-3)*(x^2-x+2)/(x-1)^5 ogf] A245679 9.51108 [-(-2*x^3+9*x^2-12*x+25)/(-x^4+5*x^3-9*x^2+11*x-6) lgdogf] A245688 7.85447 [(9297*x^9-24320*x^8-52*x^7+52*x^3-127*x^2-42*x+47)/(x^2-3*x+1) ogf] A245734 7.89735 [-1/2-1/2/x+1/2*x+1/2*(x^4-6*x^3+3*x^2+2*x+1)^(1/2)/x revogf] A245734 7.98413 [-f(x)^2*x+f(x)*x^2+f(x)^2+f(x)*x-f(x)+x ogf] A245735 7.60951 [-f(x)^2*x^2+f(x)^2*x-f(x)*x^2+f(x)*x+f(x)-x ogf] A245738 11.7062 [-(3*x^4+10*x^3+4*x^2-8*x-3)/(x^5+3*x^4-5*x^2-x+2) lgdogf] A245738 17.0795 [(x+2)/(x-1)/(x+1)/(x^2+x-1) ogf] A245738 8.26867 [(2092*f(x)+889)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x+f(x)-x-2) ogf] A245764 8.82467 [-2*(x^2+1)*(2*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A245766 8.64843 [-2*(2*x^4+5*x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A245769 12.4215 [-(x^2-8*x-1)/(x^3-7*x^2+7*x-1) lgdogf] A245769 3.99485 [{(n+4)*a(n+4)+(-20-7*n)*a(n+3)+(22+7*n)*a(n+2)+(-2-n)*a(n+1),a(0)=-1,a(1)=1,a(2)=7,a(3)=25} ogf] A245769 7.16194 [f(x)^2*x^4-4*f(x)^2*x^3+6*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-x^2+6*x-1 ogf] A245783 7.37590 [-(6*x^4+11*x^3-43*x^2+x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A245799 5.17721 [(1025*f(x)+3273)*(f(x)*x^4+5*f(x)*x^3+2*f(x)*x^2-5*x^3-5*f(x)*x-6*x^2+f(x)+7*x-2) ogf] A245799 9.61483 [(x+2)*(5*x^2-4*x+1)/(x^2+x-1)/(x^2+4*x-1) ogf] A245804 11.8934 [-(30*x^2-12*x)/(30*x^3-31*x^2+10*x-1) lgdogf] A245804 12.271 [6*f(x)*x^2-5*f(x)*x+f(x)-5*x+1 ogf] A245804 17.1793 [(5*x-1)/(2*x-1)/(3*x-1) ogf] A245804 9.54407 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=-1,a(1)=0} ogf] A245806 14.5418 [-(13*x-2)/(10*x-1)/(3*x-1) ogf] A245806 7.42559 [-(49*f(x)+71)*(30*f(x)*x^2-13*f(x)*x+f(x)+13*x-2) ogf] A245806 8.21182 [{a(n+2)-13*a(n+1)+30*a(n),a(0)=2,a(1)=13} ogf] A245806 9.43250 [-(-390*x^2+120*x-13)/(-390*x^3+229*x^2-39*x+2) lgdogf] A245807 14.5418 [-(17*x-2)/(10*x-1)/(7*x-1) ogf] A245807 7.42559 [-(9*f(x)+271)*(70*f(x)*x^2-17*f(x)*x+f(x)+17*x-2) ogf] A245807 8.21182 [{a(n+2)-17*a(n+1)+70*a(n),a(0)=2,a(1)=17} ogf] A245807 9.18428 [-(-1190*x^2+280*x-17)/(-1190*x^3+429*x^2-51*x+2) lgdogf] A245827 12.8584 [(4*x^2+43*x+4)/(x-1)^4 ogf] A245827 13.0447 [-(8*x^2+137*x+59)/(4*x^3+39*x^2-39*x-4) lgdogf] A245827 4.32734 [{(4*n+16)*a(n+4)+(58+39*n)*a(n+3)+(-215-39*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=4,a(1)=59,a(2)=216,a(3)=526} ogf] A245827 6.47544 [(11900*f(x)+351749)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-43*x-4) ogf] A245828 12.1614 [-(8*x^3+71*x^2+104*x+27)/(2*x^4+11*x^3-11*x-2) lgdogf] A245828 5.15539 [{(-7*n^2-51*n-92)*a(n+1)+(14*n^2+84*n+232)*a(n+2)+(-7*n^2-33*n-38)*a(n+3),a(0)=0,a(1)=16,a(2)=216} ogf] A245828 8.24862 [-8*x*(x+1)*(2*x^2+11*x+2)/(x-1)^7 ogf] A245829 6.01707 [-(24*x^6-23*x^5-73*x^4+60*x^3+60*x^2-141*x-51)/(x+1)^3/(x-1)^4 ogf] A245830 3.91459 [(3172933632*f(x)+186175832375)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-8*x^2+f(x)-27*x-54) ogf] A245830 7.15425 [-(-x^3+13*x^2+97*x+243)/(-x^4+9*x^3+19*x^2+27*x-54) lgdogf] A245830 7.87873 [-(x^3-8*x^2-27*x-54)/(x-1)^4 ogf] A245831 5.49794 [-18*(x+1)*(3*x^4+167*x^3+740*x^2+167*x+3)/(x-1)^7 ogf] A245832 6.63639 [2*(2*x^4-13*x^3-367*x^2-315*x-27)/(x-1)^7 ogf] A245832 7.05117 [-(6*x^4-44*x^3-1874*x^2-2624*x-504)/(2*x^5-15*x^4-354*x^3+52*x^2+288*x+27) lgdogf] A245833 10.7316 [-(-10*x^2+50*x+30)/(-2*x^3+11*x^2-6*x-3) lgdogf] A245833 3.47501 [{(-3*n-12)*a(n+4)+(12-6*n)*a(n+3)+(72+11*n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=54,a(1)=540,a(2)=2610,a(3)=8820} ogf] A245833 7.22527 [18*(2*x^2-9*x-3)/(x-1)^7 ogf] A245834 8.75795 [(1/(3*x+1)*exp(-3*x)+1)*(3*exp(3*x)*x+exp(3*x)) lgdegf] A245835 7.99186 [(2/(3*x+1)*exp(-3*x)+1)*(3*exp(3*x)*x+exp(3*x)) lgdegf] A245852 3.61649 [(8*f(x)*x-f(x)+1)*(512*f(x)*x^2-3584*x^3-448*x^2-f(x)+8*x+1) ogf] A245862 23.3898 [-(f(x)-1)^3 ogf] A245864 7.84183 [-(9*x^4+12*x^3+6*x^2-7*x-19)/(x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A245865 5.75852 [-(75*x^5-185*x^4-150*x^3-91*x^2+10*x+61)/(3*x^6-8*x^5-5*x^4-x^3+x^2+3*x-1) ogf] A245866 4.77344 [-(15418573*f(x)+131738478)*(f(x)*x^3-4*f(x)*x^2-2*f(x)*x+36*x^2+f(x)-138*x-90) ogf] A245866 5.46701 [{-a(n+3)+2*a(n+2)+4*a(n+1)-a(n),a(0)=90,a(1)=318,a(2)=960} ogf] A245866 9.84062 [-6*(6*x^2-23*x-15)/(x^3-4*x^2-2*x+1) ogf] A245867 5.17686 [-(245*x^5-1141*x^4-574*x^3-281*x^2+112*x+127)/(5*x^6-24*x^5-9*x^4-x^3+3*x^2+3*x-1) ogf] A245868 10.0225 [-8*(8*x^2-47*x-21)/(x^3-6*x^2-2*x+1) ogf] A245868 4.82834 [-(755118283*f(x)+7854482440)*(f(x)*x^3-6*f(x)*x^2-2*f(x)*x+64*x^2+f(x)-376*x-168) ogf] A245868 5.55868 [{-a(n+3)+2*a(n+2)+6*a(n+1)-a(n),a(0)=168,a(1)=712,a(2)=2368} ogf] A245871 8.22312 [-(x^4-3*x^3+15*x^2-15*x-10)/(x+1)/(x-1)^4 ogf] A245872 6.78309 [-(x^5-2*x^4+2*x^3-34*x^2-71*x-16)/(x+1)^2/(x-1)^4 ogf] A245873 5.44994 [-(x^6-3*x^5-44*x^4-30*x^3-15*x^2+161*x+26)/(x+1)^2/(x-1)^5 ogf] A245874 4.94720 [-(x^7-2*x^6-121*x^5+10*x^4+371*x^3+574*x^2+469*x+42)/(x+1)^3/(x-1)^5 ogf] A245875 4.52837 [-(x^8-3*x^7-103*x^6+561*x^5+1143*x^4-633*x^3-781*x^2-1077*x-68)/(x+1)^3/(x-1)^6 ogf] A245876 3.47310 [-(x^9-2*x^8+224*x^7+1148*x^6+2178*x^5-3456*x^4-8680*x^3-5836*x^2-2747*x-110)/(x+1)^4/(x-1)^6 ogf] A245906 9.89511 [-(x^4-6*x^2+8*x+5)/(x+1)^2/(x-1)^3 ogf] A245923 4.3961 [f(x)^2*x^4-28*f(x)^2*x^3+198*f(x)^2*x^2+f(x)*x^3-28*f(x)^2*x-15*f(x)*x^2+f(x)^2+15*f(x)*x-f(x)+3*x ogf] A245940 5.54614 [x^2*(x^4+55*x^3+204*x^2+143*x+17)/(x-1)^8 ogf] A245941 6.07692 [-x^2*(4*x^4+257*x^3+973*x^2+627*x+59)/(x-1)^7 ogf] A245945 3.94848 [-(27*x^8+36*x^7-15*x^6-57*x^5-73*x^4-54*x^3+9*x^2+55*x+71)/(x-1)/(x^8+2*x^7+x^6-x^5-3*x^4-4*x^3-3*x^2-x+1) ogf] A245947 4.06906 [-6*(36*x^6-102*x^5-53*x^4-476*x^3+386*x^2+244*x+139)/(x^7-3*x^6-x^5-13*x^4+13*x^3+5*x^2+3*x-1) ogf] A245949 4.00355 [-8*(64*x^6-312*x^5-231*x^4-1244*x^3+1824*x^2+802*x+277)/(x^7-5*x^6-3*x^5-19*x^4+31*x^3+9*x^2+3*x-1) ogf] A245951 6.72306 [-(x^5-2*x^4-46*x^3-40*x^2-43*x-14)/(x+1)^2/(x-1)^4 ogf] A245952 5.21073 [-(x^7-2*x^6-141*x^5+18*x^4+299*x^3+230*x^2+145*x+26)/(x+1)^3/(x-1)^5 ogf] A245953 4.77584 [-(x^8-3*x^7-7*x^6+557*x^5+851*x^4-1241*x^3-669*x^2-401*x-48)/(x+1)^3/(x-1)^6 ogf] A245954 3.49082 [-(x^9-2*x^8+658*x^7+310*x^6-2708*x^5-8990*x^4-12178*x^3-4478*x^2-1325*x-88)/(x+1)^4/(x-1)^6 ogf] A245961 11.2180 [x^4*(x-2)/(x^2+x-1)^3 ogf] A245961 11.9083 [-(-5*x^2+10*x+5)/(-x^3+x^2+3*x-2) lgdogf] A245961 4.07389 [{(-n^2-5*n-6)*a(n+1)+(-n^2-3*n)*a(n+2)+(n^2+n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A245968 10.7549 [x^2*(x^2+1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A245968 5.63351 [(f(x)+5)*(x^5*f(x)+f(x)*x^4-f(x)*x^3-x^4-f(x)*x^2-f(x)*x-x^2+f(x)) ogf] A245968 7.96275 [-(-3*x^6-2*x^5-4*x^4-4*x^3+2*x^2+4*x+1)/(-x^7-x^6+2*x^3+x-1) lgdogf] A245969 5.2848 [(5097924*f(x)+967316609)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+109*x^3-4*f(x)*x-409*x^2+f(x)+547*x-271) ogf] A245969 8.57432 [-(-109*x^3+491*x^2-823*x+537)/(-109*x^4+518*x^3-956*x^2+818*x-271) lgdogf] A245969 9.88568 [-(109*x^3-409*x^2+547*x-271)/(x-1)^4 ogf] A245989 14.5504 [-2*(3*x^2+2*x+4)/(x^3+x-1) ogf] A245989 8.03301 [-(-3*x^4-4*x^3-9*x^2-6*x-6)/(-3*x^5-2*x^4-7*x^3+x^2-2*x+4) lgdogf] A245989 8.03301 [{a(n+3)-a(n+2)-a(n),a(0)=8,a(1)=12,a(2)=18} ogf] A245989 8.66481 [-f(x)*(f(x)*x^3+f(x)*x+6*x^2-f(x)+4*x+8) ogf] A245990 14.1415 [-4*(3*x+7)/(x^2+2*x-1) ogf] A245990 7.468 [(12*f(x)-47)*(f(x)*x^2+2*f(x)*x-f(x)+12*x+28) ogf] A245990 7.91252 [{a(n+2)-2*a(n+1)-a(n),a(0)=28,a(1)=68} ogf] A245990 9.77429 [-(3*x^2+14*x+17)/(3*x^3+13*x^2+11*x-7) lgdogf] A245991 4.32697 [{-a(n+4)+2*a(n+3)+a(n+2)+9*a(n+1)+3*a(n),a(0)=64,a(1)=208,a(2)=676,a(3)=2196} ogf] A245991 4.41529 [(989*f(x)-5020)*(3*f(x)*x^4+9*f(x)*x^3+f(x)*x^2+60*x^3+2*f(x)*x+196*x^2-f(x)+80*x+64) ogf] A245991 7.91520 [-4*(15*x^3+49*x^2+20*x+16)/(3*x^4+9*x^3+x^2+2*x-1) ogf] A245992 12.1078 [-6*(5*x+21)/(x^2+4*x-1) ogf] A245992 6.24916 [(199*f(x)-1311)*(f(x)*x^2+4*f(x)*x-f(x)+30*x+126) ogf] A245992 6.75781 [{a(n+2)-4*a(n+1)-a(n),a(0)=126,a(1)=534} ogf] A245992 8.42278 [-(-5*x^2-42*x-89)/(-5*x^3-41*x^2-79*x+21) lgdogf] A245993 3.75605 [(17839*f(x)-131958)*(5*f(x)*x^4+25*f(x)*x^3+f(x)*x^2+210*x^3+4*f(x)*x+1086*x^2-f(x)+252*x+216) ogf] A245993 3.78028 [{-a(n+4)+4*a(n+3)+a(n+2)+25*a(n+1)+5*a(n),a(0)=216,a(1)=1116,a(2)=5766,a(3)=29790} ogf] A245993 6.73499 [-6*(35*x^3+181*x^2+42*x+36)/(5*x^4+25*x^3+x^2+4*x-1) ogf] A245994 11.8626 [-8*(7*x+43)/(x^2+6*x-1) ogf] A245994 6.12262 [(419*f(x)-3686)*(f(x)*x^2+6*f(x)*x-f(x)+56*x+344) ogf] A245994 6.54486 [{a(n+2)-6*a(n+1)-a(n),a(0)=344,a(1)=2120} ogf] A245994 8.01976 [-(-7*x^2-86*x-265)/(-7*x^3-85*x^2-251*x+43) lgdogf] A245996 10.2726 [2*(4*x^2+x+1)/(x+1)/(x-1)^4 ogf] A245996 9.53000 [-(12*x^3+16*x^2+16*x+4)/(4*x^4+x^3-3*x^2-x-1) lgdogf] A245997 6.51747 [-2*(14*x^4+13*x^3+17*x^2+3*x+1)/(x+1)^2/(x-1)^5 ogf] A245998 5.26556 [2*(49*x^6+86*x^5+183*x^4+100*x^3+55*x^2+6*x+1)/(x+1)^3/(x-1)^6 ogf] A245999 3.46230 [-2*(171*x^8+474*x^7+1498*x^6+1510*x^5+1436*x^4+502*x^3+158*x^2+10*x+1)/(x+1)^4/(x-1)^7 ogf] A246008 11.6459 [-(f(x)*x^2-2*f(x)*x+f(x)-x)^2 ogf] A246030 10.5306 [{a(n+2)-2*a(n+1)-8*a(n),a(0)=1,a(1)=8} ogf] A246030 12.6987 [-(-48*x^2-16*x-8)/(-48*x^3-20*x^2+4*x+1) lgdogf] A246030 19.1891 [-(6*x+1)/(4*x-1)/(2*x+1) ogf] A246030 9.48911 [-(17*f(x)+47)*(8*f(x)*x^2+2*f(x)*x-f(x)+6*x+1) ogf] A246036 10.7807 [(7*f(x)+2)*(8*f(x)*x^2+2*f(x)*x-f(x)+4*x+1) ogf] A246036 11.1751 [{a(n+2)-2*a(n+1)-8*a(n),a(0)=1,a(1)=6} ogf] A246036 13.4758 [-(32*x^2+16*x+6)/(32*x^3+16*x^2-2*x-1) lgdogf] A246036 20.3634 [-(4*x+1)/(4*x-1)/(2*x+1) ogf] A246038 13.0873 [-(2*x+1)*(4*x^2+2*x+1)/(8*x^4+8*x^3+3*x-1) ogf] A246038 7.16688 [-(157*f(x)+40)*(8*f(x)*x^4+8*f(x)*x^3+8*x^3+3*f(x)*x+8*x^2-f(x)+4*x+1) ogf] A246046 4.88709 [(x^14+2*x^13+x^12+2*x^11+x^10+2*x^9+x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A246057 10.1160 [-(50*x^2+20*x-16)/(50*x^3-45*x^2-6*x+1) lgdogf] A246057 14.8512 [(5*x+1)/(10*x-1)/(x-1) ogf] A246057 7.84276 [(39*f(x)+25)*(10*f(x)*x^2-11*f(x)*x+f(x)-5*x-1) ogf] A246057 8.21182 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=16} ogf] A246058 10.1160 [-(60*x^2+20*x-17)/(60*x^3-56*x^2-5*x+1) lgdogf] A246058 14.8512 [(6*x+1)/(10*x-1)/(x-1) ogf] A246058 7.67039 [(167*f(x)+122)*(10*f(x)*x^2-11*f(x)*x+f(x)-6*x-1) ogf] A246058 8.21182 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=17} ogf] A246059 10.1160 [-(70*x^2+20*x-18)/(70*x^3-67*x^2-4*x+1) lgdogf] A246059 14.8512 [(7*x+1)/(10*x-1)/(x-1) ogf] A246059 7.84276 [(89*f(x)+73)*(10*f(x)*x^2-11*f(x)*x+f(x)-7*x-1) ogf] A246059 8.21182 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=18} ogf] A246062 10.2213 [1/4*I/x/(8*x-1)^(1/2)-1/4/x/(8*x+1)^(1/2) lgdogf] A246074 9.65675 [-(x+1)^2*(x^2+x+1)^2*(x^2-x+1)^2/(2*x^6-1) ogf] A246075 8.39621 [-(x^6+x^5+x^4+x^3+x^2+x+1)^2/(2*x^7-1) ogf] A246076 6.54642 [-(x^23+x^14+2*x^13+3*x^12+4*x^11+5*x^10+6*x^9+7*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(2*x^8-1) ogf] A246077 8.50128 [-(x^2+1)*(x^12-x^10+x^8+2*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(2*x^5-1) ogf] A246078 5.59747 [-(2*x^24+x^23+x^17+2*x^16+3*x^15+4*x^14+5*x^13+7*x^12+9*x^11+11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(3*x^11-1) ogf] A246080 8.39129 [-(x^6+3*x^4+2*x^2+1)*(x+1)^2/(3*x^6-1) ogf] A246081 7.33929 [-(x^3-x+1)*(x^6+x^4+2*x^3+x^2+x+1)*(x^2+x+1)^2/(3*x^9-1) ogf] A246082 5.15129 [-(x^12+3*x^8+2*x^4+1)*(x+1)^2*(x^2+1)^2/(3*x^12-1) ogf] A246083 4.91946 [-(x^15+3*x^10+2*x^5+1)*(x^4+x^3+x^2+x+1)^2/(3*x^15-1) ogf] A246084 8.06652 [-(4*x^24+2*x^16+x^15+x^9+3*x^8+5*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(3*x^7-1) ogf] A246085 7.13971 [-(2*x^23+x^22+x^14+2*x^13+4*x^12+6*x^11+8*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(3*x^10-1) ogf] A246138 3.95617 [{(-9*n^2-36*n-36)*a(n+1)+(10*n^2+44*n+48)*a(n+2)+(-n^2-8*n-16)*a(n+3),a(0)=-1,a(1)=0,a(2)=1} ogf] A246139 10.6865 [-(-42*x^2+44*x-12)/(-42*x^3+85*x^2-54*x+11) lgdogf] A246139 16.1435 [-(21*x-11)/(2*x-1)/(x-1) ogf] A246139 8.62207 [(f(x)-29)*(2*f(x)*x^2-3*f(x)*x+f(x)+21*x-11) ogf] A246139 9.03265 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=11,a(1)=12} ogf] A246168 10.0959 [-(-38*x^2+36*x-8)/(-38*x^3+75*x^2-46*x+9) lgdogf] A246168 15.1438 [(19*x-9)/(2*x-1)/(x-1) ogf] A246168 7.33277 [-(207*f(x)+2887)*(2*f(x)*x^2-3*f(x)*x+f(x)-19*x+9) ogf] A246168 8.49529 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-9,a(1)=-8} ogf] A246171 7.38596 [(x^8+3*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+3)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A246172 12.8904 [(4*x^2-4*x-1)/(x-1)^3 ogf] A246172 13.1053 [-(-4*x^2+7)/(-4*x^3+8*x^2-3*x-1) lgdogf] A246172 6.83754 [(19*f(x)-1195)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+4*x+1) ogf] A246172 6.95855 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=14} ogf] A246175 7.22468 [-(x^2+x-1)/(x^2-3*x+1)^3/(x+1)^3 ogf] A246175 9.17291 [-(-7*x^4+21*x^2-6*x-5)/(-x^5+x^4+5*x^3-x^2-3*x+1) lgdogf] A246176 5.57939 [-(x^5-3*x^4+14*x^3-24*x^2+18*x-5)/(x^2-3*x+1)^3/(x+1)^3 ogf] A246178 14.6051 [1/(x^2-3*x+1)^3 ogf] A246178 20.6906 [-(6*x-9)/(x^2-3*x+1) lgdogf] A246178 6.53388 [{(-n-3)*a(n+3)+(15+3*n)*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=9,a(2)=51} ogf] A246224 20.526 [-(f(x)-1)^3 ogf] A246227 7.97765 [(f(x)-171470)^2*(-64556303422787162*x^6+f(x)-171470) ogf] A246229 5.23466 [3744763744425692221838464/571*x^15*exp(2847841759482134170596738877591443/468095468053211527729808*x^5) ogf_with_Euler_transform] A246313 10.376 [(5*f(x)+14)*(2*f(x)*x^2+3*f(x)*x-f(x)+6*x-1) ogf] A246313 10.8821 [{a(n+2)-3*a(n+1)-2*a(n),a(0)=-1,a(1)=3} ogf] A246313 13.3184 [-(12*x^2-4*x+3)/(12*x^3+16*x^2-9*x+1) lgdogf] A246313 19.8296 [-(6*x-1)/(2*x^2+3*x-1) ogf] A246347 13.1854 [-(3*x^4-2*x^3-x-1)/(x-1)/(2*x^2-1) ogf] A246347 6.31800 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=9} ogf] A246347 8.19633 [f(x)*(2*f(x)*x^3+3*x^4-2*f(x)*x^2-2*x^3-f(x)*x+f(x)-x-1) ogf] A246360 11.9144 [-(x^3+2*x^2-x-1)/(x-1)/(3*x^2-1) ogf] A246360 6.22799 [{-a(n+4)+a(n+3)+3*a(n+2)-3*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A246360 6.68369 [-(f(x)-2)*(3*f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A246360 8.13955 [-(9*x^4-4*x^3-7*x^2+2*x+2)/(3*x^6+3*x^5-10*x^4-x^3+6*x^2-1) lgdogf] A246388 8.13369 [(x+1)*(4*x^6+2*x^5+4*x^4+3*x^3+3*x^2+3*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A246393 8.13369 [(5*x^7+7*x^6+6*x^5+6*x^4+6*x^3+7*x^2+6*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A246394 8.17337 [(2*x^7+6*x^6+7*x^5+6*x^4+6*x^3+7*x^2+6*x+4)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A246404 8.86541 [x*(2*x^11-x^6+x^5+2)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A246407 7.81723 [(x^12+x^11+x^7-x^6+x+1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A246410 9.50200 [(x^12+x^11+2)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A246413 10.2300 [(2*x^11+x+1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A246416 5.80501 [x*(x^10+x^9+3*x^8+4*x^6+2*x^5+4*x^4+2*x^3+3*x^2+x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A246432 10.2014 [-f(x)^2-4*f(x)*x-4*x^2+f(x)+x ogf] A246432 3.71497 [{(-16*n^2-8*n)*a(n+1)+(8*n^2+22*n+12)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=-3,a(2)=-1} ogf] A246432 7.83767 [(1/2*(8*x-1)/(-1+4*x)^(1/2)-1/2*I)/(-1+4*x)^(1/2)/x lgdogf] A246434 4.18661 [{(84*n^2+378*n+420)*a(n+1)+(-37*n^2-225*n-314)*a(n+2)+(4*n^2+32*n+60)*a(n+3),a(0)=-1,a(1)=-1,a(2)=0} ogf] A246434 7.10571 [-1/2*(-x^2+(x^4+10*x^3+29*x^2+28*x+4)^(1/2)+11*x-2)/(4*x^2-12*x+9) revogf] A246434 7.66853 [4*f(x)^2*x^3-f(x)^2*x^2-12*f(x)*x^2+11*f(x)*x-2*f(x)+9*x-2 ogf] A246437 3.60782 [{(-3*n-6)*a(n+1)+(-5*n-14)*a(n+2)+(-n-4)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=3} ogf] A246437 5.56797 [-3*f(x)^2*x^3-5*f(x)^2*x^2-f(x)^2*x+3*f(x)*x^2+f(x)^2+2*f(x)*x-f(x)-x ogf] A246442 10.5278 [(11*x^4+3*x^3+3*x^2+3*x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A246451 11.8502 [(3*x^3+3*x^2+3*x+13)/(x^2+1)/(x+1)/(x-1)^2 ogf] A246453 11.9945 [(8*x^3-56*x^2-10*x+3)/(x^2-7*x+1) ogf] A246453 6.40384 [{a(n+4)-7*a(n+3)+a(n+2),a(0)=3,a(1)=11,a(2)=18,a(3)=123} ogf] A246453 6.62854 [(105055*f(x)-6894248)*(f(x)*x^2-8*x^3-7*f(x)*x+56*x^2+f(x)+10*x-3) ogf] A246453 6.93260 [-(8*x^4-112*x^3+426*x^2-118*x+11)/(-8*x^5+112*x^4-390*x^3-17*x^2+31*x-3) lgdogf] A246472 3.90293 [64*f(x)^2*x^4-96*f(x)^2*x^3+52*f(x)^2*x^2+80*f(x)*x^3-12*f(x)^2*x-84*f(x)*x^2+4*x^3+f(x)^2+28*f(x)*x+20*x^2-3*f(x)-13*x+2 ogf] A246473 12.1725 [-2*(4*x^3+3*x^2+2*x+5)/(x^4+x-1) ogf] A246473 7.25667 [(21*f(x)-76)*(f(x)*x^4+8*x^3+f(x)*x+6*x^2-f(x)+4*x+10) ogf] A246474 12.4182 [-4*(7*x^2+3*x+15)/(x^3+2*x-1) ogf] A246474 6.68675 [-(57*f(x)+1124)*(f(x)*x^3+2*f(x)*x+28*x^2-f(x)+12*x+60) ogf] A246474 6.81786 [-(-7*x^4-6*x^3-31*x^2-14*x-33)/(-7*x^5-3*x^4-29*x^3+x^2-27*x+15) lgdogf] A246474 7.02446 [{a(n+3)-2*a(n+2)-a(n),a(0)=60,a(1)=132,a(2)=292} ogf] A246475 4.07414 [-4*(16*x^8+21*x^7+7*x^6+99*x^5+80*x^4+245*x^3+102*x^2+35*x+43)/(x^9+x^8+6*x^6+3*x^5+14*x^4+x^3+2*x-1) ogf] A246476 3.72081 [(520804*f(x)-22052511)*(f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2+126*x^3+3*f(x)*x+408*x^2-f(x)+348*x+462) ogf] A246476 6.87255 [-6*(21*x^3+68*x^2+58*x+77)/(x^4+3*x^3+2*x^2+3*x-1) ogf] A246478 3.45476 [-(293504587*f(x)-20296448430)*(f(x)*x^4+5*f(x)*x^3+2*f(x)*x^2+344*x^3+5*f(x)*x+1776*x^2-f(x)+976*x+1880) ogf] A246478 6.71098 [-8*(43*x^3+222*x^2+122*x+235)/(x^4+5*x^3+2*x^2+5*x-1) ogf] A246480 6.45450 [-2*(23*x^4+6*x^3+16*x^2+2*x+1)/(x+1)^2/(x-1)^5 ogf] A246481 5.30486 [2*(115*x^6+72*x^5+191*x^4+52*x^3+45*x^2+4*x+1)/(x+1)^3/(x-1)^6 ogf] A246482 3.44490 [-2*(562*x^8+617*x^7+2001*x^6+1045*x^5+1161*x^4+251*x^3+115*x^2+7*x+1)/(x+1)^4/(x-1)^7 ogf] A246507 6.48926 [{(-4*n^2-34*n-60)*a(n+1)+(n^2+9*n+14)*a(n+2),a(0)=14,a(1)=70} ogf] A246552 10.6907 [-(-3*x^5+3*x^4+5*x^3+x^2+2)/(-x^6+x^5+x^4+x^2-x-1) lgdogf] A246552 15.4938 [-x^2*(x^2-x-1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A246555 10.0711 [-x*f(x)^3+2*f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A246574 5.87911 [{(-4*n^2-18*n-20)*a(n+1)+(n^2+5*n+4)*a(n+2),a(0)=0,a(1)=4} ogf] A246574 7.25889 [-4*f(x)^2*x^3+f(x)^2*x^2+16*f(x)*x^2-20*f(x)*x+4*f(x)-16*x ogf] A246575 19.0030 [-(1-2*x)/(x-1) ogf_with_Euler_transform] A246576 18.5888 [-(2*x^2-1)/(-x+1) ogf_with_Euler_transform] A246581 12.7596 [-(-x^3-x^2+x)/(x^2-1) ogf_with_Euler_transform] A246584 12.6620 [-(-2*x^3-2*x^2-3*x-2)/(-x^4+1) ogf_with_Euler_transform] A246584 99.9999 Evaluated at exp(-Pi) 1/Pi^(1/2)*2^(3/8)*GAMMA(3/4)^2 A246607 5.54107 [{(3*n^2+15*n+18)*a(n+1)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=-5} ogf] A246608 6.91589 [-(-5*x^7-2*x^6-x^5-2*x^4-9*x^3-2*x^2-x-2)/(x^8-1) ogf_with_Euler_transform] A246608 99.9999 Evaluated at exp(-Pi) -1/16*(3/2+2^(1/2))*2^(3/4)*(2+2^(1/2))^(1/2)*GAMMA(5/8)^5/Pi^(5/4)/GAMMA(7/8)^5/(2^(1/2)-2) A246614 21.6063 [-(f(x)-1)^3 ogf] A246615 20.8206 [-(f(x)-1)^3 ogf] A246616 22.9335 [-(f(x)-1)^3 ogf] A246631 6.59440 [-(3*x^6+x^5-2*x^3+5*x^2+3*x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A246631 99.9999 Evaluated at exp(-Pi) -1/16/Pi^(3/4)*2^(3/4)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^(3/2)/(2^(1/2)-2) A246638 14.1237 [-(5*x^2-12*x+5)/(x-1)/(x^2-3*x+1) ogf] A246638 7.29722 [-(127*f(x)+444)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+5*x^2-f(x)-12*x+5) ogf] A246638 7.74927 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=5,a(1)=8,a(2)=17} ogf] A246638 8.50162 [-(-5*x^4+24*x^3-43*x^2+30*x-8)/(-5*x^5+32*x^4-73*x^3+73*x^2-32*x+5) lgdogf] A246639 14.5114 [-(8*x^2-19*x+8)/(x-1)/(x^2-3*x+1) ogf] A246639 7.43558 [-(281*f(x)+1632)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+8*x^2-f(x)-19*x+8) ogf] A246639 7.89215 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=8,a(1)=13,a(2)=28} ogf] A246639 8.48778 [-(-8*x^4+38*x^3-68*x^2+48*x-13)/(-8*x^5+51*x^4-116*x^3+116*x^2-51*x+8) lgdogf] A246640 13.5108 [-(2*x-1)*(x-2)/(x-1)/(x^2-3*x+1) ogf] A246640 7.04408 [-(88*f(x)+85)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-5*x+2) ogf] A246640 7.35855 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A246640 8.00153 [-(-2*x^4+10*x^3-18*x^2+12*x-3)/(-2*x^5+13*x^4-30*x^3+30*x^2-13*x+2) lgdogf] A246641 13.7955 [-(x^2-10*x+1)/(x-1)/(x^2-18*x+1) ogf] A246641 7.4823 [(1364*f(x)+13)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)-10*x+1) ogf] A246641 7.61130 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=153} ogf] A246641 8.32935 [-(-x^4+20*x^3-174*x^2+36*x-9)/(-x^5+29*x^4-210*x^3+210*x^2-29*x+1) lgdogf] A246642 11.5937 [-(x^2+22*x+1)/(x-1)/(x^2-18*x+1) ogf] A246642 6.03251 [(110482*f(x)-20847)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)+22*x+1) ogf] A246642 6.34187 [{a(n+3)-19*a(n+2)+19*a(n+1)-a(n),a(0)=1,a(1)=41,a(2)=761} ogf] A246642 7.06666 [-(-x^4-44*x^3+434*x^2+36*x-41)/(-x^5-3*x^4+398*x^3-398*x^2+3*x+1) lgdogf] A246643 10.1756 [-(15*x-1)*(6*x-1)/(9*x-1)/(81*x^2-22*x+1) ogf] A246643 5.24199 [-(105880*f(x)+268361)*(729*f(x)*x^3-279*f(x)*x^2+31*f(x)*x+90*x^2-f(x)-21*x+1) ogf] A246643 5.76619 [{-a(n+3)+31*a(n+2)-279*a(n+1)+729*a(n),a(0)=1,a(1)=10,a(2)=121} ogf] A246645 13.7222 [-(162*x-22)/(81*x^2-22*x+1) lgdogf] A246645 20.7793 [1/(81*x^2-22*x+1) ogf] A246645 8.4567 [(161*f(x)+81)*(81*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A246645 8.55620 [{-a(n+2)+22*a(n+1)-81*a(n),a(0)=1,a(1)=22} ogf] A246650 5.58078 [-(-2*x^5+3*x^4-6*x^3+6*x^2-4*x+1)/(x^6-x^5+x^4-x^2+x-1) ogf_with_Euler_transform] A246662 3.42187 [{(-14-7*n)*a(n+1)+(-7*n^2-18*n+12)*a(n+2)+(10*n^2+77*n+134)*a(n+3)+(-10*n-40)*a(n+4),a(0)=-10,a(1)=7,a(2)=-3,a(3)=1} ogf] A246695 24.5399 [-x^3-x^2+3*x+3 ogf_with_Euler_transform] A246695 8.06559 [(x^2+1)*(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A246697 8.00651 [(2*x^4+x^3+5*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A246707 5.53399 [-(4*x^11+2*x^10+3*x^9+4*x^8+2*x^7+2*x^6+6*x^5+2*x^4+2*x^3+4*x^2+3*x+2)/(-x^12+1) ogf_with_Euler_transform] A246712 99.9999 Evaluated at exp(-Pi) exp(-1/12*Pi)*2^(7/16)*GAMMA(7/8)/GAMMA(5/8)*Pi^(1/4)*(2-2^(1/2))^(1/4) A246713 7.65810 [-(2*x^4+3*x^3-3*x-2)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A246715 11.0604 [-(x^4-11*x^3+12*x^2-3*x+5)/(x^5-4*x^4-3*x^3+9*x^2-2*x-1) lgdogf] A246715 14.0769 [(x-1)*(x^2-4*x-1)/(x^2+x-1)^2 ogf] A246715 4.57350 [{(-3*n^2-16*n-20)*a(n+1)+(2*n^2+31*n+82)*a(n+2)+(8*n^2+49*n+70)*a(n+3)+(-5*n^2-34*n-56)*a(n+4),a(0)=1,a(1)=5,a(2)=6,a(3)=16} ogf] A246715 7.74232 [(40*f(x)-191)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-x^3-2*f(x)*x+5*x^2+f(x)-3*x-1) ogf] A246732 6.09385 [(5*f(x)-188)*(f(x)*x^4+60*x^3+2*f(x)*x+28*x^2-f(x)+12*x+124) ogf] A246732 9.97176 [-4*(15*x^3+7*x^2+3*x+31)/(x^4+2*x-1) ogf] A246734 4.60966 [-6*(77*x^6+98*x^5-51*x^4-400*x^3-185*x^2-122*x-261)/(x+1)/(x^6-x^4-4*x^3+3*x^2-4*x+1) ogf] A246736 3.35788 [-8*(235*x^7+983*x^6+179*x^5-2791*x^4-4741*x^3-1793*x^2-1245*x-1171)/(x^4+2*x^3+2*x^2+1)/(x^4+2*x^3-6*x^2-4*x+1) ogf] A246738 5.33370 [2*(166*x^6+43*x^5+189*x^4+34*x^3+44*x^2+3*x+1)/(x+1)^3/(x-1)^6 ogf] A246739 3.42834 [-2*(1076*x^8+523*x^7+2211*x^6+655*x^5+1023*x^4+161*x^3+105*x^2+5*x+1)/(x+1)^4/(x-1)^7 ogf] A246752 4.44890 [-(-2*x^11-x^10-2*x^9-2*x^8-x^7-x^6-2*x^5-x^4-x^3-2*x^2-2*x-1)/(x^12-1) ogf_with_Euler_transform] A246752 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi*2^(1/4)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^3*GAMMA(11/12)*(3^(1/2)-1) A246756 6.96093 [f(x)^2*x^3+x*f(x)^3+f(x)^3-5*f(x)^2*x-3*f(x)^2+7*f(x)*x+3*f(x)-3*x-1 ogf] A246767 10.3873 [-(-6*x^3-24*x^2-78*x-12)/(-3*x^4-2*x^3-12*x^2+18*x-1) lgdogf] A246767 4.64694 [{(5*n^2-47*n-114)*a(n+1)+(116*n^2+884*n+1128)*a(n+2)+(-121*n^2-333*n-182)*a(n+3),a(0)=0,a(1)=-1,a(2)=12} ogf] A246767 9.59693 [-x*(3*x^3+5*x^2+17*x-1)/(x-1)^5 ogf] A246779 4.51129 [-x*(x^22-x^21+2*x^20-2*x^19+x^17-x^15+x^14-x^13+x^12+x^10-x^9-x^8+x^6+x^4-x^3+x^2-2*x-1)/(x-1)^2 ogf] A246780 8.43666 [-(x^2-x+1)*(x^14-x^12-x^11+x^9+x^8-x^6+x^3+x^2-x-2)/(x-1)^2 ogf] A246800 9.1442 [-64*f(x)^2*x^4+16*f(x)^2*x^3+4*f(x)^2*x^2-f(x)^2*x-32*f(x)*x^2+2*f(x)+16*x-12 ogf] A246811 5.90367 [-(3*x^6-x^5+5*x^4+x^3+2*x^2-2*x+4)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A246811 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*2^(3/4)*GAMMA(5/8)^3*(1+2^(1/2))/GAMMA(7/8)^3/Pi^(3/4) A246814 6.29488 [-(3*x^7+2*x^6+x^5+2*x^4+5*x^3+2*x^2+x+2)/(-x^8+1) ogf_with_Euler_transform] A246814 99.9999 Evaluated at exp(-Pi) 1/16/Pi^(3/4)*2^(3/8)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2 A246815 7.67318 [-(3*x^7+2*x^6+3*x^5+2*x^4+x^3+2*x^2+3*x+2)/(-x^8+1) ogf_with_Euler_transform] A246815 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*2^(3/8)*GAMMA(5/8)^3*(1+2^(1/2))/GAMMA(7/8)^3/Pi^(3/4) A246816 7.01671 [-(3*x^7-2*x^6+5*x^5-2*x^4+4*x^3-2*x^2+5*x-2)/(-x^8+1) ogf_with_Euler_transform] A246816 99.9999 Evaluated at exp(-Pi) 1/8/Pi^(3/4)*2^(5/16)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^(3/2)/(2-2^(1/2))^(1/4) A246832 6.90061 [-(3*x^6+2*x^5-x^3+4*x^2+3*x+1)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A246832 99.9999 Evaluated at exp(-Pi) 1/64*exp(3/8*Pi)/Pi^(3/4)*2^(7/8)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2 A246833 8.63318 [-(-3*x^7-2*x^6-2*x^4-x^3-2*x^2-2)/(x^8-1) ogf_with_Euler_transform] A246833 99.9999 Evaluated at exp(-Pi) 1/32*exp(3/4*Pi)*2^(1/4)*GAMMA(5/8)^3*(1+2^(1/2))/GAMMA(7/8)^3/Pi^(3/4) A246835 7.68108 [-(3*x^7+2*x^6-2*x^5+2*x^4+5*x^3+2*x^2-2*x+2)/(-x^8+1) ogf_with_Euler_transform] A246835 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/4*Pi)/Pi^(3/4)*2^(1/4)/GAMMA(7/8)^3*GAMMA(5/8)^3*(2+2^(1/2))^2 A246836 7.67318 [-(3*x^7-2*x^6+5*x^5-2*x^4+x^3-2*x^2+5*x-2)/(-x^8+1) ogf_with_Euler_transform] A246836 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*2^(5/8)*GAMMA(5/8)^3*(1+2^(1/2))/GAMMA(7/8)^3/Pi^(3/4) A246837 6.86370 [-(3*x^6+4*x^4+x^3+2*x^2-x+3)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A246837 99.9999 Evaluated at exp(-Pi) 1/16*exp(5/8*Pi)*2^(1/8)*GAMMA(5/8)^3*(1+2^(1/2))/GAMMA(7/8)^3/Pi^(3/4) A246840 9.32821 [-(3*x^5-4*x^3-3*x^2+x-1)/(x^6-2*x^4-2*x^3+x^2-2*x+1) lgdogf] A246880 4.45815 [(343189690252497*f(x)+21942724601590)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1500*x^2-f(x)+609*x) ogf] A246880 5.24278 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=609,a(2)=66099} ogf] A246880 9.36211 [3*x*(500*x-203)/(x-1)/(100*x-1)/(10*x-1) ogf] A246883 10.0189 [-(-4*x^7+5*x^4+4*x^3-x+1)/(-x^8+2*x^5+2*x^4-x^2+2*x-1) lgdogf] A246884 9.24785 [-(5*x^9-6*x^5-5*x^4+x-1)/(x^10-2*x^6-2*x^5+x^2-2*x+1) lgdogf] A246893 5.12714 [-(x^7-2*x^6+329*x^5+394*x^4+619*x^3+378*x^2+171*x+30)/(x+1)^3/(x-1)^5 ogf] A246894 3.32493 [-(x^9-2*x^8+1486*x^7+268*x^6-2876*x^5-3740*x^4-4198*x^3-1844*x^2-557*x-58)/(x+1)^4/(x-1)^6 ogf] A246919 5.14102 [-x^2*(4*x^13+2*x^11+x^10-11*x^9+x^8-4*x^7+4*x^6+13*x^5+16*x^4+14*x^3+19*x^2+7)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A246926 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi^(5/4)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^4*GAMMA(11/12)*2^(1/2)*(3^(1/2)-1) A246927 5.38649 [-(3*x^11+x^10-4*x^8+x^7+x^6+7*x^5+x^4+x^3-4*x^2+1)/(-x^12+1) ogf_with_Euler_transform] A246927 99.9999 Evaluated at exp(-Pi) 1/8/Pi^(7/12)*3^(7/12)*2^(1/2)*GAMMA(2/3)^(8/3)/GAMMA(3/4)^(25/3)*GAMMA(11/12)^(4/3)*GAMMA(7/12)^4*(7+4*3^(1/2))/(2^(1/2)*(1+3^(1/2)))^(4/3) A246928 6.03684 [-(3*x^8-2*x^7+3*x^6-3*x^5-x^4+x^3+6*x^2-3*x+2)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A246928 99.9999 Evaluated at exp(-Pi) 1/4*GAMMA(2/3)^2*GAMMA(7/12)^2*(2+3^(1/2))/Pi^(1/4)/GAMMA(3/4)^5 A246939 3.85549 [(49*x^10-7*x^9-7*x^8+x^7+7*x^6+7*x^5-x^4-x^3+1)/(7*x-1)/(7*x^2-1)/(57*x^7+7*x^6-8*x^4-8*x^3+1) ogf] A246940 3.68289 [(64*x^10-8*x^9-8*x^8+x^7+8*x^6+8*x^5-x^4-x^3+1)/(8*x-1)/(8*x^2-1)/(73*x^7+8*x^6-9*x^4-9*x^3+1) ogf] A246941 3.84657 [(81*x^10-9*x^9-9*x^8+x^7+9*x^6+9*x^5-x^4-x^3+1)/(3*x-1)/(9*x-1)/(3*x+1)/(91*x^7+9*x^6-10*x^4-10*x^3+1) ogf] A246943 7.86443 [x*(4*x^6+x^5+12*x^4+4*x^3+12*x^2+x+4)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A246950 5.44651 [-(2*x^7+2*x^6+x^5+2*x^4+3*x^3+2*x^2+x+2)/(-x^8+1) ogf_with_Euler_transform] A246950 99.9999 Evaluated at exp(-Pi) 1/8/Pi^(1/2)*2^(15/16)/GAMMA(7/8)^2*GAMMA(5/8)^2*(2+2^(1/2))/(2-2^(1/2))^(1/4) A246953 11.9809 [-(3*x^3+2*x^2-x+2)/(-x^4+1) ogf_with_Euler_transform] A246953 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/2*Pi)*Pi^(3/4)*2^(1/4)/GAMMA(3/4)^3 A246954 12.3326 [-(-3*x^3-4*x^2-x-4)/(x^4-1) ogf_with_Euler_transform] A246954 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/4*Pi)*Pi^(3/4)*2^(1/4)/GAMMA(3/4)^3 A246961 10.1006 [-2*x*(135*x^2-9*x-2)/(15*x-1)/(3*x-1)/(9*x-1)/(5*x-1) ogf] A246961 5.36597 [(71398568*f(x)-324540573)*(2025*f(x)*x^4-1440*f(x)*x^3+342*f(x)*x^2+270*x^3-32*f(x)*x-18*x^2+f(x)-4*x) ogf] A246962 5.25843 [-(-2*x^11-2*x^9-x^8-x^7-2*x^5-x^3-x^2-2*x)/(x^12-1) ogf_with_Euler_transform] A246962 99.9999 Evaluated at exp(-Pi) 1/6*exp(3/8*Pi)*Pi*2^(1/8)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)^3*GAMMA(11/12)*(3^(1/2)-1) A246974 6.07937 [x^3*f(x)^3+2*f(x)^2*x^3+f(x)^2*x^2+f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1 ogf] A246985 13.9346 [-(14*x^2-8*x+1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A246985 7.67585 [(54*f(x)-509)*(36*f(x)*x^3-36*f(x)*x^2+11*f(x)*x+14*x^2-f(x)-8*x+1) ogf] A246985 7.80821 [{-a(n+3)+11*a(n+2)-36*a(n+1)+36*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A246985 8.08707 [-(-504*x^4+576*x^3-242*x^2+44*x-3)/(-504*x^5+792*x^4-478*x^3+138*x^2-19*x+1) lgdogf] A246986 11.3130 [-(x^3-6*x^2+5*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A246986 6.23372 [(2738*f(x)-4081)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+x^3-10*f(x)*x-6*x^2+f(x)+5*x-1) ogf] A246987 8.27712 [-(2*x^4-21*x^3+34*x^2-11*x+1)/(x-1)/(6*x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A246999 4.58973 [-24*(50500000*x^3-55230500*x^2+4772305*x-8838)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A247004 5.91312 [-(x^15+2*x^14+x^13+x^12+x^11+2*x^10+x^9+4*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+4)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A247007 9.91397 [-(-2*x^23-x^20+529079040*x+529079040)/(x^22-x^21+x^20+529079040*x^3-529079040) lgdegf] A247018 8.75149 [-(3*x^4+2*x^3-4*x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A247029 3.91109 [{(6912*n^3+31104*n^2+42768*n+17496)*a(n+1)+(n^3+9*n^2+26*n+24)*a(n+4),a(0)=1,a(1)=3,a(2)=-18,a(3)=180} ogf] A247035 8.52423 [2*(x+1)*(x^4+6*x^3+5*x^2+6*x+1)/(x^2-3*x+1)/(x^4+3*x^3+8*x^2+3*x+1) ogf] A247049 11.5581 [-(x^5+x^4-x^3+1)/(x^6+x^3-1) ogf] A247050 11.4985 [-x*(x^7+x^4+x^2+1)/(x+1)/(x^2-x+1)/(x^6+x^3-1) ogf] A247051 10.8970 [x^2*(x^6-x^4-x^2-1)/(x+1)/(x^2-x+1)/(x^6+x^3-1) ogf] A247060 9.83617 [(x+1)*(4*x^3+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A247061 11.0424 [(8*x^2+7*x+1)/(x^2+x+1)/(x-1)^2 ogf] A247061 3.91622 [{(-16*n-57)*a(n+1)-16*a(n+2)-16*a(n+3)+(16*n+41)*a(n+4),a(0)=1,a(1)=8,a(2)=16,a(3)=17} ogf] A247061 5.34594 [-(250080*f(x)+3438293)*(f(x)*x^4-f(x)*x^3-f(x)*x-8*x^2+f(x)-7*x-1) ogf] A247062 6.85505 [(4*x^7+x^6+3*x^5+2*x^4+x^3+3*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A247063 6.83347 [(3*x^12+x^11+x^10+x^9+x^8+x^7+2*x^6+x^5+x^4+x^3+x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A247065 9.53135 [(x+1)*(15*x^5-6*x^4+14*x^3-6*x^2+14*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A247066 7.93898 [(5*x^10+3*x^9+3*x^8+4*x^7+x^6+4*x^5+4*x^4+2*x^3+4*x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A247076 13.3288 [(x-1)*(x^2+x+1)/(5*x^3+2*x^2+2*x-1) ogf] A247076 5.71235 [{a(n+4)-2*a(n+3)-2*a(n+2)-5*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=20} ogf] A247076 6.78342 [-(11*f(x)-5)*(5*f(x)*x^3+2*f(x)*x^2-x^3+2*f(x)*x-f(x)+1) ogf] A247076 7.23564 [-(-2*x^4-4*x^3-12*x^2-4*x-2)/(5*x^6+2*x^5+2*x^4-6*x^3-2*x^2-2*x+1) lgdogf] A247102 3.81505 [3*f(x)^2*x^4+9*f(x)^2*x^3+5*f(x)^2*x^2+6*f(x)*x^3-f(x)^2*x+15*f(x)*x^2+4*f(x)*x+3*x^2-f(x)+6*x+2 ogf] A247107 9.21498 [-x*(10*x^10-10*x^9+1)/(10*x^9-1)/(x-1)^2 ogf] A247112 4.31721 [{(n^2+7*n+10)*a(n+1)+(10*n^2+90*n+214)*a(n+2)+(-11*n^2-49*n-54)*a(n+3),a(0)=0,a(1)=8,a(2)=67} ogf] A247112 8.44873 [-x*(x^3+12*x^2+27*x+8)/(x-1)^5 ogf] A247112 9.03140 [-(2*x^3+39*x^2+132*x+67)/(x^4+11*x^3+15*x^2-19*x-8) lgdogf] A247121 13.1530 [(4*x^3-1)/(20*x^3+8*x^2+2*x-1) ogf] A247121 5.65093 [{a(n+4)-2*a(n+3)-8*a(n+2)-20*a(n+1),a(0)=1,a(1)=2,a(2)=12,a(3)=56} ogf] A247121 6.87273 [(121*f(x)-97)*(20*f(x)*x^3+8*f(x)*x^2-4*x^3+2*f(x)*x-f(x)+1) ogf] A247121 6.87275 [-(32*x^4+16*x^3+48*x^2+16*x+2)/(-80*x^6-32*x^5-8*x^4+24*x^3+8*x^2+2*x-1) lgdogf] A247124 6.87443 [-(x-1)^2*(x^4+x^3+x^2+x+1)^2/(x^15+x^13+x^11-3*x^10-2*x^8-2*x^6+6*x^5+x^3+x-1) ogf] A247125 12.8581 [-1/(2*x^6+6*x^5+12*x^4+x^3+2*x^2-1) ogf] A247125 7.38152 [-(12*x^5+30*x^4+48*x^3+3*x^2+4*x)/(2*x^6+6*x^5+12*x^4+x^3+2*x^2-1) lgdogf] A247128 8.59708 [(5*x^4+4*x^3+4*x^2+4*x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A247155 23.8251 [(292*f(x)-11969)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+29*x+32) ogf] A247155 24.2324 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32,a(1)=125,a(2)=280} ogf] A247155 41.0897 [-(-x^2-60*x-125)/(-x^3-28*x^2-3*x+32) lgdogf] A247155 45.0030 [-(x^2+29*x+32)/(x-1)^3 ogf] A247160 5.76543 [(2*x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A247161 8.00891 [(3*x^10+x^9+x^8+2*x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A247162 6.74938 [-f(x)^2*x^2-f(x)^2*x+f(x)*x^2+2*f(x)*x-x^2+f(x)-x-1 ogf] A247171 4.26647 [4*f(x)^2*x^4+8*f(x)^2*x^3+4*f(x)^2*x^2+4*f(x)*x^3-f(x)^2*x+4*f(x)*x^2+x^3-f(x)^2+4*x^2-f(x)+4*x+2 ogf] A247172 7.48729 [-1/2*(-2*x^2+(4*x^4+8*x^3+4*x^2+1)^(1/2)-2*x-1)/(x+1) revogf] A247172 8.10388 [2*f(x)^2*x-f(x)*x^2+2*f(x)*x-x^2-f(x)+x ogf] A247188 10.8758 [-(2*x^3-10*x^2+19*x-9)/(2*x^4-9*x^3+16*x^2-12*x+3) lgdogf] A247188 13.2400 [-x^3*(x^2-3*x+3)/(2*x-1)/(x-1)^2 ogf] A247188 5.34247 [{(-2*n-4)*a(n+1)+(3*n+4)*a(n+2)+(-n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=3,a(4)=9} ogf] A247188 7.94402 [-f(x)*(x^5+2*f(x)*x^3-3*x^4-5*f(x)*x^2+3*x^3+4*f(x)*x-f(x)) ogf] A247195 8.52736 [-f(x)*x^2-2*f(x)^2+2*f(x)*x-x^2+f(x)-x ogf] A247215 13.6235 [-8*x/(x-1)/(x^2-34*x+1) ogf] A247215 5.56787 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=280} ogf] A247215 8.10514 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+8*x ogf] A247215 9.41625 [-(3*x^2-70*x+35)/(x^3-35*x^2+35*x-1) lgdogf] A247235 7.17799 [-(2*x+1)*(4*x^2+1)*(19*x^4+1)*(1800829*x^8+1)/(21350096865126907517*x^16-1) ogf] A247247 7.56603 [-x*(x+1)*(x^4+2*x^3+19*x^2+2*x+1)/(x-1)/(x^2+x+1)/(x^6-98*x^3+1) ogf] A247249 16.6263 [-(-1-x)/(-2*x+1) lgdegf] A247249 4.96307 [{(-n-2)*a(n+1)+(-2*n-5)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A247281 10.1505 [-4*f(x)*x^2-3*f(x)*x+f(x)-5*x ogf] A247281 12.4766 [-(-8*x-3)/(-4*x^2-3*x+1) lgdogf] A247281 16.1859 [-5*x/(x+1)/(4*x-1) ogf] A247281 7.39357 [{-a(n+2)+3*a(n+1)+4*a(n),a(0)=0,a(1)=5} ogf] A247283 12.8231 [(3*x^5-x^3+x^2-7*x-5)/(2*x^2-1) ogf] A247283 7.57727 [-(-18*x^6+17*x^4-17*x^2-18*x-7)/(6*x^7-5*x^5+2*x^4-13*x^3-11*x^2+7*x+5) lgdogf] A247284 8.63817 [-(10*x^6-10*x^5+x^4+x^3+5*x^2-2*x-4)/(x-1)/(3*x^2-1) ogf] A247291 7.77054 [f(x)^2*x^3-f(x)*x^4+f(x)*x^2+f(x)*x-f(x)+1 ogf] A247301 7.76609 [-(x^4+x^3+x^2+x+1)*(x^10-x^9+2*x^7-2*x^6+x^4-x+1)/(2*x^9+2*x^6-1) ogf] A247302 11.7106 [-x*(x^7+x^4+x^2+1)/(2*x^9+2*x^6-1) ogf] A247309 11.5575 [(x^5+x^4-2*x^3+1)/(x^6-3*x^3+1) ogf] A247310 8.25282 [-(x^10-x^7+x^6-x^5-x^4-1)/(x^6+x^3-1)/(x^6-x^3-1) ogf] A247311 7.02352 [(x^7+x^3-x^2-x-1)/(x^2+x+1)/(x^6+2*x^3-1) ogf] A247313 10.2711 [-(-40*x^2+20*x-3)/(-40*x^3+38*x^2-11*x+1) lgdogf] A247313 15.4066 [-(4*x-1)/(5*x-1)/(2*x-1) ogf] A247313 7.70333 [-(31*f(x)+50)*(10*f(x)*x^2-7*f(x)*x+f(x)+4*x-1) ogf] A247313 8.53861 [{a(n+2)-7*a(n+1)+10*a(n),a(0)=1,a(1)=3} ogf] A247321 5.59778 [(2*x^15+x^14-x^13-x^12+2*x^11+x^10+x^9-2*x^8+x^6+x^5+1)/(x^16-2*x^12-3*x^8+1) ogf] A247322 10.5791 [(x^2+x+1)*(x+1)/(x^4-2*x^3-3*x^2+1) ogf] A247322 6.22801 [-(52*f(x)+3)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-x^3-2*x^2+f(x)-2*x-1) ogf] A247323 11.6177 [-(x+1)*(x^2+x-1)/(x^4-2*x^3-3*x^2+1) ogf] A247323 6.51727 [{a(n+4)-3*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A247323 6.73633 [-(4*f(x)-3)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+2*x^2+f(x)-1) ogf] A247325 11.6854 [x*(x^2+x+1)/(x^4-2*x^3-3*x^2+1) ogf] A247325 6.89138 [(17*f(x)+18)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-x^3-x^2+f(x)-x) ogf] A247325 7.75281 [-(2*x^5+x^4-9*x^2-8*x-1)/(x^6-x^5-4*x^4-5*x^3-2*x^2+x+1) lgdogf] A247326 12.3494 [2*x^2*(x+1)/(x^4-2*x^3-3*x^2+1) ogf] A247326 9.01919 [-f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+2*x^3+2*x^2-f(x) ogf] A247326 9.12168 [-(3*x^4-9*x^2-6*x-1)/(x^5-x^4-5*x^3-3*x^2+x+1) lgdogf] A247328 10.1052 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A247328 13.1528 [-f(x)*x^2+2*f(x)*x-f(x)+x+1 ogf] A247328 18.4139 [(x+1)/(x-1)^2 ogf] A247328 18.8324 [-(x+3)/(x^2-1) lgdogf] A247328 39.3060 [[3-x] ogf_with_Euler_transform] A247333 7.20664 [f(x)^2*x^2+f(x)^2*x-f(x)*x^2-f(x)*x+x^2-f(x)+x+1 ogf] A247335 4.59898 [(2133720*f(x)-458999)*(f(x)*x^3-39*f(x)*x^2+39*f(x)*x+10*x^2-f(x)-29*x+1) ogf] A247335 4.95274 [{-a(n+3)+39*a(n+2)-39*a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=361} ogf] A247335 8.91494 [-(10*x^2-29*x+1)/(x-1)/(x^2-38*x+1) ogf] A247344 2.86399 [(20*f(x)-33)*(1280*x^5*f(x)-1600*f(x)*x^4+800*f(x)*x^3+976*x^4-200*f(x)*x^2-624*x^3+25*f(x)*x+176*x^2-f(x)-24*x+1) ogf] A247344 4.72171 [-(976*x^4-624*x^3+176*x^2-24*x+1)/(1280*x^5-1600*x^4+800*x^3-200*x^2+25*x-1) ogf] A247352 6.51724 [x*(x+1)*(x^13-x^12+x^11-2*x^10+3*x^9-x^8+x^5+x^2-x+1)/(x^16-2*x^12-3*x^8+1) ogf] A247353 12.0439 [(x+1)*(2*x+1)/(x^4-2*x^3-3*x^2+1) ogf] A247353 6.69104 [-(14*f(x)+13)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-2*x^2+f(x)-3*x-1) ogf] A247354 12.5717 [-x*(x-1)*(x+1)/(x^4-2*x^3-3*x^2+1) ogf] A247354 6.28584 [{-a(n+4)+3*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=2} ogf] A247354 7.03553 [(29*f(x)-10)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+x^3+f(x)-x) ogf] A247354 7.37378 [-(-2*x^5+2*x^4+4*x^3-6*x^2-4*x)/(-x^6+2*x^5+4*x^4-2*x^3-4*x^2+1) lgdogf] A247355 12.7060 [x*(2*x+1)/(x^4-2*x^3-3*x^2+1) ogf] A247355 7.04605 [(143*f(x)+71)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2-2*x^2+f(x)-x) ogf] A247355 7.99037 [-(-6*x^4+4*x^3+12*x^2+6*x+2)/(-2*x^5+3*x^4+8*x^3+3*x^2-2*x-1) lgdogf] A247375 9.14328 [-(6*x^4+12*x^2+4*x+2)/(3*x^5-x^4-2*x^3+2*x^2-x-1) lgdogf] A247375 9.14328 [-x*(3*x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A247386 11.7597 [-(-x^3-3*x^2-6*x-4)/(x^2+2*x+2) lgdegf] A247386 4.04635 [{(-n^3-7*n^2-16*n-12)*a(n+1)+(-n^2-3*n)*a(n+2)+(n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A247387 9.53442 [-(7*x^6+8*x^5+14*x^4+42*x^3+21*x^2+42*x+21)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A247390 7.25966 [-(10*x^9+11*x^8+20*x^7+41*x^6+40*x^5+11*x^4+11*x^3+21*x^2+40*x+41)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A247391 6.30451 [-(11*x^10+12*x^9+22*x^8+55*x^7+110*x^6+110*x^5+110*x^4+55*x^3+55*x^2+55*x+110)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A247397 5.53362 [[2] ogf_with_Euler_transform] A247399 5.30688 [-4*(336*x^9+278*x^8+226*x^7+180*x^6+140*x^5-132*x^4-107*x^3-85*x^2-66*x-50)/(4*x^5-1)/(2*x^5-1) ogf] A247405 3.48498 [40*x*(17*x^8+x^7+12*x^6+10*x^5+12*x^4+11*x^3+6*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A247452 27.8356 [3*exp(3*x) lgdegf] A247473 12.3401 [-(2048*x^8+64*x^4+16*x^3+2*x+1)/(2*x-1) ogf] A247487 7.64561 [-(8*x^7+4*x^6+2*x^5+x^4-x^3-x^2-x-2)/(2*x^2-x+1)/(2*x^2+x+1)/(4*x^4-3*x^2+1) ogf] A247518 7.11532 [-(256*x^4-144*x^3+45*x^2-9*x+1)/(4*x-1)/(16*x^2-6*x+1)/(16*x^2-x+1) ogf] A247526 7.31615 [-(4*x^4-6*x^3+24*x^2+4*x-1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A247527 9.13606 [-(108*x^4-20*x^3-16*x^2-12*x-33)/(x-1)/(2*x^2-1)/(2*x^2+1) ogf] A247528 5.62295 [-2*(32*x^6-9*x^5-38*x^4+6*x^3-26*x^2-20*x+44)/(x-1)/(x^6-x^4-x^2-x+1) ogf] A247534 6.89944 [-(x^5-2*x^4-32*x^3-38*x^2-29*x-8)/(x+1)^2/(x-1)^4 ogf] A247535 3.64207 [-(x^11-120*x^9-330*x^8-661*x^7-892*x^6-963*x^5-774*x^4-484*x^3-212*x^2-61*x-8)/(x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A247541 12.7084 [-(-8*x^2-26*x-8)/(-8*x^3+3*x^2+4*x+1) lgdogf] A247541 13.5417 [-(8*x^2+5*x+1)/(x-1)^3 ogf] A247541 7.12108 [(628*f(x)-2743)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+5*x+1) ogf] A247541 7.31013 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=29} ogf] A247555 8.00072 [x*(4*x^6+2*x^5+x^4+8*x^3+4*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A247560 11.5014 [-(8*x^2-8*x+1)/(8*x^3-10*x^2+5*x-1) lgdogf] A247560 16.6131 [-(2*x-1)/(4*x^2-3*x+1) ogf] A247560 8.79516 [(5*f(x)-6)*(4*f(x)*x^2-3*f(x)*x+f(x)+2*x-1) ogf] A247560 9.11693 [{a(n+2)-3*a(n+1)+4*a(n),a(0)=1,a(1)=1} ogf] A247563 10.8495 [-(12*x^2-16*x+3)/(12*x^3-17*x^2+9*x-2) lgdogf] A247563 16.3948 [-(3*x-2)/(4*x^2-3*x+1) ogf] A247563 8.57864 [(7*f(x)-23)*(4*f(x)*x^2-3*f(x)*x+f(x)+3*x-2) ogf] A247563 8.99712 [{-a(n+2)+3*a(n+1)-4*a(n),a(0)=2,a(1)=3} ogf] A247564 11.1679 [-(x+1)*(2*x^2+x-2)/(4*x^4-3*x^2+1) ogf] A247564 6.78422 [-(22*f(x)-41)*(4*f(x)*x^4-3*f(x)*x^2+2*x^3+3*x^2+f(x)-x-2) ogf] A247565 12.9025 [-(8*x^2-7*x+2)/(2*x-1)/(4*x^2-3*x+1) ogf] A247565 7.01713 [(11*f(x)-40)*(8*f(x)*x^3-10*f(x)*x^2+5*f(x)*x+8*x^2-f(x)-7*x+2) ogf] A247565 7.07924 [{a(n+3)-5*a(n+2)+10*a(n+1)-8*a(n),a(0)=2,a(1)=3,a(2)=3} ogf] A247565 7.40698 [-(-64*x^4+112*x^3-78*x^2+24*x-3)/(-64*x^5+136*x^4-126*x^3+63*x^2-17*x+2) lgdogf] A247584 4.8176 [-(f(x)-5)*(3*x^5*f(x)-5*f(x)*x^4+10*f(x)*x^3+x^4-10*f(x)*x^2-4*x^3+5*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A247584 8.57026 [-(x-1)^4/(3*x^5-5*x^4+10*x^3-10*x^2+5*x-1) ogf] A247591 3.73443 [{(-144*n^3-864*n^2-1692*n-1080)*a(n+1)+(40*n^3+396*n^2+1268*n+1320)*a(n+2)+(-n^3-17*n^2-96*n-180)*a(n+3),a(0)=1,a(1)=1,a(2)=3} ogf] A247594 12.8970 [-(2*x^2+x+1)/(3*x^3+x^2+x-1) ogf] A247594 6.78202 [-(16*f(x)-1)*(3*f(x)*x^3+f(x)*x^2+f(x)*x+2*x^2-f(x)+x+1) ogf] A247594 7.02424 [{-a(n+3)+a(n+2)+a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A247594 9.36565 [-(-6*x^4-6*x^3-8*x^2-6*x-2)/(-6*x^5-5*x^4-6*x^3+1) lgdogf] A247595 12.5640 [-(2*x^2-x+1)/(4*x^3-4*x^2+4*x-1) ogf] A247595 6.78235 [{a(n+3)-4*a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A247595 6.90457 [(9*f(x)-1)*(4*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-x+1) ogf] A247595 7.74147 [-(-8*x^4+8*x^3-8*x^2+4*x-3)/(-8*x^5+12*x^4-16*x^3+10*x^2-5*x+1) lgdogf] A247608 10.1452 [(10*x^3+6*x^2+3*x+1)/(x-1)^4 ogf] A247608 3.86014 [{(-n^2-10*n-16)*a(n+1)+(2*n^2+12*n-5)*a(n+2)+(-n^2-2*n+3)*a(n+3),a(0)=1,a(1)=7,a(2)=28,a(3)=84,a(4)=195} ogf] A247608 5.34682 [(162560*f(x)+584837)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-10*x^3-4*f(x)*x-6*x^2+f(x)-3*x-1) ogf] A247608 9.42058 [-(-10*x^3-42*x^2-21*x-7)/(-10*x^4+4*x^3+3*x^2+2*x+1) lgdogf] A247609 3.58738 [{(n^2+12*n+20)*a(n+1)+(-2*n^2-13*n+18)*a(n+2)+(n^2+n-6)*a(n+3),a(0)=1,a(1)=9,a(2)=45,a(3)=165,a(4)=495,a(5)=1231} ogf] A247609 7.65767 [-(35*x^4+180*x^3+90*x^2+36*x+9)/(35*x^5-15*x^4-10*x^3-6*x^2-3*x-1) lgdogf] A247609 8.12651 [-(35*x^4+20*x^3+10*x^2+4*x+1)/(x-1)^5 ogf] A247610 6.75375 [(126*x^5+70*x^4+35*x^3+15*x^2+5*x+1)/(x-1)^6 ogf] A247611 5.40734 [-(462*x^6+252*x^5+126*x^4+56*x^3+21*x^2+6*x+1)/(x-1)^7 ogf] A247612 4.86034 [(1716*x^7+924*x^6+462*x^5+210*x^4+84*x^3+28*x^2+7*x+1)/(x-1)^8 ogf] A247613 3.97812 [-(6435*x^8+3432*x^7+1716*x^6+792*x^5+330*x^4+120*x^3+36*x^2+8*x+1)/(x-1)^9 ogf] A247614 3.38749 [(24310*x^9+12870*x^8+6435*x^7+3003*x^6+1287*x^5+495*x^4+165*x^3+45*x^2+9*x+1)/(x-1)^10 ogf] A247614 5.28082 [19-24310*x^9*(x^8-144/17*x^7+63/2*x^6-336/5*x^5+90*x^4-1008/13*x^3+42*x^2-144/11*x+9/5) ogf_with_Euler_transform] A247617 5.60819 [-(3*x^11+x^10+x^9-x^8-4*x^7-2*x^6-4*x^5-7*x^3-3*x^2-5*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A247618 12.1597 [-(2*x^2+x+1)/(2*x-1)/(x-1)^2 ogf] A247618 6.56408 [(41*f(x)-33)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+x+1) ogf] A247618 6.56409 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=17} ogf] A247618 9.27178 [-(-4*x^3-8*x^2-x+5)/(-4*x^4+4*x^3-x^2+2*x-1) lgdogf] A247619 10.3931 [-(2*x^3+3*x^2+4*x+1)/(2*x^2-1)/(x-1)^2 ogf] A247619 3.92289 [{(10*n+34)*a(n+1)+(-10*n-24)*a(n+2)+(-5*n-17)*a(n+3)+(5*n+12)*a(n+4),a(0)=1,a(1)=6,a(2)=16,a(3)=36} ogf] A247619 5.55742 [-(35*f(x)-138)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*x^3+2*f(x)*x+3*x^2-f(x)+4*x+1) ogf] A247619 7.47916 [-(-4*x^5-16*x^4-26*x^3+6*x^2+14*x+6)/(-4*x^6-2*x^5+7*x^3+3*x^2-3*x-1) lgdogf] A247620 10.9987 [-(-4*x^3-16*x^2+x+7)/(-4*x^4+5*x^2-1) lgdogf] A247620 12.4412 [-(x+1)*(2*x+1)/(2*x-1)/(x-1)^2 ogf] A247620 6.59923 [(393*f(x)-614)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+3*x+1) ogf] A247620 6.71604 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=7,a(2)=25} ogf] A247623 6.11222 [-2*f(x)^2*x^3-4*f(x)^2*x^2+f(x)*x^3+2*f(x)^2*x+f(x)*x^2-3*f(x)*x+f(x)-1 ogf] A247630 4.59998 [f(x)^2*x^3-f(x)*x^4+2*f(x)^2*x^2-2*f(x)*x^3+x^4-f(x)^2*x+2*f(x)*x^2+2*f(x)*x-2*x^2-f(x)+1 ogf] A247641 6.09481 [-(x^12-2*x^11-4*x^10-2*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-3*x)/(x^11-1) ogf_with_Euler_transform] A247643 8.95978 [-(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A247698 10.3972 [{a(n+2)-a(n+1)-a(n),a(0)=2308,a(1)=4261} ogf] A247698 10.8923 [-(-1953*x^2-4616*x-4261)/(-1953*x^3-4261*x^2-355*x+2308) lgdogf] A247698 17.9403 [-(1953*x+2308)/(x^2+x-1) ogf] A247698 9.14954 [(8877*f(x)-2331995)*(f(x)*x^2+f(x)*x-f(x)+1953*x+2308) ogf] A247720 8.39221 [-2*(54*x^4+5*x^3+4*x^2+3*x-24)/(2*x-1)/(2*x^4-1) ogf] A247727 13.5826 [-(-3*x^2-6*x-6)/(-x^3+1) lgdogf] A247727 28.0032 [[-x^2+6] ogf_with_Euler_transform] A247727 4.17926 [{(-n-4)*a(n+4)+6*a(n+3)+6*a(n+2)+(n+4)*a(n+1),a(0)=8,a(1)=48,a(2)=168,a(3)=440} ogf] A247727 8.94044 [-8*(x^2+x+1)/(x-1)^5 ogf] A247728 5.47261 [2*(23*x^5+40*x^4+80*x^3+64*x^2+29*x+4)/(x+1)^2/(x-1)^6 ogf] A247792 13.7200 [-(10*x^2+34*x+10)/(10*x^3-3*x^2-6*x-1) lgdogf] A247792 15.0477 [-(2*x+1)*(5*x+1)/(x-1)^3 ogf] A247792 8.04275 [(116*f(x)-665)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+7*x+1) ogf] A247792 8.18385 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=37} ogf] A247817 12.7146 [-4*f(x)*x^2+5*f(x)*x-f(x)+16*x ogf] A247817 15.8932 [-(8*x-5)/(4*x^2-5*x+1) lgdogf] A247817 20.0757 [16*x/(4*x-1)/(x-1) ogf] A247817 9.30335 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=0,a(1)=16} ogf] A247829 8.01124 [x*(3*x^7-3*x^6-14*x^4-6*x^3-2*x^2+3*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A247840 10.8588 [-6*f(x)*x^2+7*f(x)*x-f(x)+36*x ogf] A247840 13.2965 [-(12*x-7)/(6*x^2-7*x+1) lgdogf] A247840 17.1454 [36*x/(6*x-1)/(x-1) ogf] A247840 7.94545 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=0,a(1)=36} ogf] A247841 11.0842 [-8*f(x)*x^2+9*f(x)*x-f(x)+64*x ogf] A247841 13.5725 [-(16*x-9)/(8*x^2-9*x+1) lgdogf] A247841 17.5014 [64*x/(8*x-1)/(x-1) ogf] A247841 8.11039 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=0,a(1)=64} ogf] A247842 11.3936 [-9*f(x)*x^2+10*f(x)*x-f(x)+81*x ogf] A247842 13.6276 [-(18*x-10)/(9*x^2-10*x+1) lgdogf] A247842 17.8207 [81*x/(9*x-1)/(x-1) ogf] A247842 8.37360 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=0,a(1)=81} ogf] A247850 6.54644 [-8*x*(x^4-4*x^3-474*x^2-4*x+1)/(x-1)^6 ogf] A247850 7.04522 [-(-2*x^4+8*x^3+1908*x^2+968*x-2)/(-x^5+5*x^4+470*x^3-470*x^2-5*x+1) lgdogf] A247851 4.89270 [-8*(23*x^6-264*x^5+2971*x^4+3496*x^3-579*x^2+128*x-15)/(x-1)^7 ogf] A247852 4.33268 [16*x*(29*x^6-426*x^5+4803*x^4+31508*x^3+4803*x^2-426*x+29)/(x-1)^8 ogf] A247853 3.40270 [16*(103*x^8-872*x^7+948*x^6-319064*x^5-332294*x^4+9768*x^3-4652*x^2+1048*x-105)/(x-1)^9 ogf] A247884 5.17041 [-(5*x^7+7*x^6+21*x^5-56*x^4+14*x^3+24*x^2-67*x+9)/(10*x-1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A247903 10.2514 [-(2*x^3+2*x^2+3*x+1)/(2*x^2-1)/(x-1)^2 ogf] A247903 3.86940 [{(16*n+54)*a(n+1)+(-16*n-38)*a(n+2)+(-8*n-27)*a(n+3)+(8*n+19)*a(n+4),a(0)=1,a(1)=5,a(2)=13,a(3)=29} ogf] A247903 5.44384 [-(176*f(x)-507)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*x^3+2*f(x)*x+2*x^2-f(x)+3*x+1) ogf] A247903 7.97330 [-(4*x^5+12*x^4+20*x^3-4*x^2-11*x-5)/(4*x^6-4*x^3-3*x^2+2*x+1) lgdogf] A247904 12.3849 [-(2*x^2+2*x+1)/(2*x-1)/(x-1)^2 ogf] A247904 6.56937 [(355*f(x)-418)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+2*x+1) ogf] A247904 6.68565 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=6,a(2)=21} ogf] A247904 9.81140 [-(-4*x^3-12*x^2+6)/(-4*x^4+2*x^3+2*x^2+x-1) lgdogf] A247905 10.5642 [-(-4*x^5-20*x^4-32*x^3+8*x^2+17*x+7)/(-4*x^6-4*x^5+10*x^3+3*x^2-4*x-1) lgdogf] A247905 14.8173 [-(2*x^3+4*x^2+5*x+1)/(2*x^2-1)/(x-1)^2 ogf] A247905 5.53850 [{(24*n+82)*a(n+1)+(-24*n-58)*a(n+2)+(-12*n-41)*a(n+3)+(12*n+29)*a(n+4),a(0)=1,a(1)=7,a(2)=19,a(3)=43} ogf] A247905 7.81462 [-(408*f(x)-2045)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+2*x^3+2*f(x)*x+4*x^2-f(x)+5*x+1) ogf] A247907 10.0769 [1/(x-1)/(x^2+1)/(x^2-x+1)/(x^3+x^2-1) ogf] A247917 13.5287 [-(-3*x^2+1)/(-x^3+x+1) lgdogf] A247917 21.3179 [-1/(x^3-x-1) ogf] A247917 7.48395 [{-a(n+3)-a(n+2)+a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A247917 8.68507 [(f(x)-1)*(f(x)*x^3-f(x)*x-f(x)+1) ogf] A247918 8.54201 [1/(x-1)/(x^2+1)/(x^2-x+1)/(x^3-x-1) ogf] A247919 11.6006 [-(-5*x^4+4*x^3)/(-x^5+x^4+1) lgdogf] A247919 21.0921 [-1/(x^2-x+1)/(x^3-x-1) ogf] A247920 11.0858 [-(-5*x^4+2*x+1)/(-x^5+x^2+x+1) lgdogf] A247920 17.3047 [-1/(x^2+1)/(x^3-x-1) ogf] A247928 4.10544 [-(x^10-2*x^9+679*x^8+691*x^7+1021*x^6+1063*x^5+969*x^4+749*x^3+418*x^2+139*x+32)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A247968 4.84372 [-2*f(x)*x^3+f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)-x+1 ogf] A247969 3.39517 [-(82*x^9+34*x^8+21*x^6+4)/(x-1) ogf] A247970 4.15694 [-(116*x^9+21*x^7+3)/(x-1) ogf] A247970 4.41145 [-(f(x)*x-f(x)+3)^3 ogf] A247971 5.48314 [-(x^14-x^13-x^12-x^11-x^10-x^8-x^7-x^6-x^4-x^3-x^2-x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A247974 9.39248 [(x+1)*(x^11-2*x^10+2*x^9-2*x^8+2*x^7-2*x^6+2*x^5-2*x^4+2*x^3+x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A247996 5.12343 [-4*(83*x^5+21*x^4+106*x^3+91*x^2+51*x+8)/(x+1)/(x-1)^7 ogf] A248016 5.71457 [-x^2*(x^2+1)*(x^4-6*x^2-4*x-3)/(x+1)^4/(x-1)^8 ogf] A248045 5.66573 [{(16*n^2+64*n+60)*a(n+1)+(-n-3)*a(n+2),a(0)=1,a(1)=6} ogf] A248060 3.70753 [x^2*(x^8-4*x^6+8*x^5+26*x^4+40*x^3+16*x^2+8*x+1)/(x+1)^4/(x-1)^10 ogf] A248069 5.29671 [-(x^6-5*x^5-322*x^4-362*x^3-427*x^2-173*x-32)/(x+1)/(x-1)^6 ogf] A248086 6.64683 [x^2*(3*x^3+5*x^2-2*x-5)/(x-1)/(x+1)^2/(x^2+x-1)^2 ogf] A248088 11.7352 [-(-36*x^2-12*x-4)/(-9*x^3-3*x^2-x+1) lgdogf] A248088 25.8174 [1/(3*x^2+2*x+1)/(3*x-1)^2 ogf] A248088 3.87261 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+(-18-3*n)*a(n+2)+(-45-9*n)*a(n+1),a(0)=1,a(1)=4,a(2)=16,a(3)=64} ogf] A248088 9.00607 [-(f(x)-1)*(27*f(x)*x^4-4*f(x)*x+f(x)-1) ogf] A248089 11.5354 [(4*x-1)^2/(27*x^2-10*x+1)/(x-1)^2 ogf] A248089 4.12378 [{(-81*n-189)*a(n+1)+(111*n+178)*a(n+2)+(-33*n-47)*a(n+3)+(3*n+4)*a(n+4),a(0)=1,a(1)=4,a(2)=16,a(3)=64} ogf] A248089 6.23081 [(101*f(x)+27)*(27*f(x)*x^4-64*f(x)*x^3+48*f(x)*x^2-12*f(x)*x-16*x^2+f(x)+8*x-1) ogf] A248089 9.38046 [-(-216*x^3+148*x^2-44*x+4)/(-108*x^4+175*x^3-81*x^2+15*x-1) lgdogf] A248091 6.31382 [x^3*(x^5+x^4-x^3-x^2-2*x+1)/(x+1)/(3*x^4-x^3+x^2-3*x+1) ogf] A248094 6.64280 [-3*x*(x^4-4*x^3-13*x^2+50*x+14)/(x-1)^7 ogf] A248094 7.71830 [-(3*x^4-12*x^3-77*x^2+274*x+148)/(x^5-5*x^4-9*x^3+63*x^2-36*x-14) lgdogf] A248098 11.3884 [(2*x^3-x^2-x+1)/(x-1)/(x^3+x^2+x-1) ogf] A248098 6.61612 [-(4*f(x)+5)*(f(x)*x^4-2*x^3-2*f(x)*x+x^2+f(x)+x-1) ogf] A248100 11.0376 [1/2/(x^2+1)*(-1+(4*x^3+4*x+1)^(1/2)) revogf] A248100 17.6601 [x+1-f(x)+f(x)^2*x^3 ogf] A248121 8.32895 [-(2*x^4+12*x^3+18*x^2+13*x+9)/(x^5+3*x^4+2*x^3-x^2-3*x-2) lgdogf] A248121 9.70078 [-(x+2)*(x+1)^2/(x^2+x+1)/(x-1)^3 ogf] A248148 7.91951 [-(x^12-x^11+x^6-x^4-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A248152 5.95953 [{(16*n^2+80*n+84)*a(n+1)+(-n^2-10*n-24)*a(n+2),a(0)=3,a(1)=4} ogf] A248155 11.7922 [-(x^2-x-1)/(x+1)/(2*x+1) ogf] A248155 6.12731 [{-a(n+3)-3*a(n+2)-2*a(n+1),a(0)=1,a(1)=-2,a(2)=3} ogf] A248155 8.68036 [-(5*x^2+6*x+2)/(-2*x^4-x^3+4*x^2+4*x+1) lgdogf] A248155 8.80262 [2*f(x)*x^2+3*f(x)*x+x^2+f(x)-x-1 ogf] A248157 10.5533 [-f(x)*x^2-2*f(x)*x-2*x^2-f(x)+1 ogf] A248157 12.6262 [-(2+4*x)/(-2*x^3-2*x^2+x+1) lgdogf] A248157 14.4300 [-(2*x^2-1)/(x+1)^2 ogf] A248157 6.93206 [{a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=-2,a(2)=1} ogf] A248158 10.2829 [-(2*x^2-4*x-3)/(2*x^3+2*x^2-x-1) lgdogf] A248158 11.5457 [-(2*x^2-1)/(x+1)^3 ogf] A248158 5.87593 [{-a(n+3)-3*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=-3,a(2)=4} ogf] A248158 6.09356 [(9*f(x)-49)*(f(x)*x^3+3*f(x)*x^2+3*f(x)*x+2*x^2+f(x)-1) ogf] A248159 10.0630 [-(2*x^2-1)/(x+1)^4 ogf] A248159 10.2202 [-(-4*x^2+4*x+4)/(-2*x^3-2*x^2+x+1) lgdogf] A248159 5.03148 [-(f(x)-25)*(f(x)*x^4+4*f(x)*x^3+6*f(x)*x^2+4*f(x)*x+2*x^2+f(x)-1) ogf] A248160 11.2170 [-(2*x^2-1)/(x+1)^5 ogf] A248160 13.1449 [-(6*x^2-4*x-5)/(2*x^3+2*x^2-x-1) lgdogf] A248160 4.42775 [{(-n-4)*a(n+4)+(-8-n)*a(n+3)+2*n*a(n+2)+(8+2*n)*a(n+1),a(0)=1,a(1)=-5,a(2)=13,a(3)=-25} ogf] A248161 10.5899 [(x^2-x+2)/(x^2-3*x+1)/(x+1) ogf] A248161 5.33871 [-(5163*f(x)+2273)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)+x-2) ogf] A248161 5.71668 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=11} ogf] A248163 11.4709 [-(18*x-34)/(9*x^2-34*x+1) lgdogf] A248163 17.2064 [1/(9*x^2-34*x+1) ogf] A248163 6.96448 [{-a(n+2)+34*a(n+1)-9*a(n),a(0)=1,a(1)=34} ogf] A248163 9.08403 [(569*f(x)+9)*(9*f(x)*x^2-34*f(x)*x+f(x)-1) ogf] A248168 12.2691 [33*f(x)^2*x^2-14*f(x)^2*x+f(x)^2-1 ogf] A248168 15.6370 [-(33*x-7)/(33*x^2-14*x+1) lgdogf] A248168 5.14508 [{(-n-3)*a(n+3)+(35+14*n)*a(n+2)+(-66-33*n)*a(n+1),a(0)=1,a(1)=7,a(2)=57} ogf] A248180 9.79457 [-(x^19-x^18-x^3+x^2-1)/(x+1)/(x-1)^2 ogf] A248183 5.61631 [(x+1)*(x^2-x+1)*(x^16+x^11+x^10+x^6+x^4+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A248186 5.91347 [(x^15+x^14-x^13+x^12+x^11+x^10+x^8+x^7+x^5+x^4+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A248193 9.15156 [-(-6*x^11+7*x^6+6*x^5-x+1)/(-x^12+2*x^7+2*x^6-x^2+2*x-1) lgdogf] A248205 11.0740 [(49*x-1)/(x-1)/(x^2-98*x+1) ogf] A248205 4.69806 [-(5256979658400*f(x)+53631362399)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)-49*x+1) ogf] A248205 5.25545 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=1,a(1)=50,a(2)=4851} ogf] A248205 6.45982 [-(98*x^3-4854*x^2+198*x-50)/(49*x^4-4852*x^3+4950*x^2-148*x+1) lgdogf] A248216 11.1278 [-12*f(x)*x^2+8*f(x)*x-f(x)+4*x ogf] A248216 13.3533 [-(24*x-8)/(12*x^2-8*x+1) lgdogf] A248216 17.5701 [4*x/(6*x-1)/(2*x-1) ogf] A248216 8.14226 [{a(n+2)-8*a(n+1)+12*a(n),a(0)=0,a(1)=4} ogf] A248217 11.1799 [-16*f(x)*x^2+10*f(x)*x-f(x)+6*x ogf] A248217 13.1148 [-(32*x-10)/(16*x^2-10*x+1) lgdogf] A248217 17.4865 [6*x/(8*x-1)/(2*x-1) ogf] A248217 8.21653 [{a(n+2)-10*a(n+1)+16*a(n),a(0)=0,a(1)=6} ogf] A248225 11.1278 [-18*f(x)*x^2+9*f(x)*x-f(x)+3*x ogf] A248225 13.3533 [-(36*x-9)/(18*x^2-9*x+1) lgdogf] A248225 17.5701 [3*x/(3*x-1)/(6*x-1) ogf] A248225 8.14226 [{a(n+2)-9*a(n+1)+18*a(n),a(0)=0,a(1)=3} ogf] A248226 11.679 [-30*f(x)*x^2+13*f(x)*x-f(x)+7*x ogf] A248226 13.7003 [-(60*x-13)/(30*x^2-13*x+1) lgdogf] A248226 18.2671 [7*x/(10*x-1)/(3*x-1) ogf] A248226 8.58335 [{a(n+2)-13*a(n+1)+30*a(n),a(0)=0,a(1)=7} ogf] A248229 6.38267 [(x^30-x^29+x^8+2*x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A248230 6.33313 [-(x^6-5*x^5-4*x^4-19*x^3-19*x^2-14*x-12)/(x^2+1)/(x+1)/(x-1)^4 ogf] A248234 5.36451 [(x+1)*(x^7-4*x^6+7*x^5-9*x^4-15*x^3-56*x^2-41*x-27)/(x^2+x+1)/(x-1)^5 ogf] A248336 6.01845 [-2*x*(50*x^5+50*x^4-155*x^3-55*x^2+6*x+5)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A248337 10.8947 [-24*f(x)*x^2+10*f(x)*x-f(x)+2*x ogf] A248337 12.7803 [-(48*x-10)/(24*x^2-10*x+1) lgdogf] A248337 17.0404 [2*x/(6*x-1)/(4*x-1) ogf] A248337 8.00692 [{a(n+2)-10*a(n+1)+24*a(n),a(0)=0,a(1)=2} ogf] A248338 11.679 [-40*f(x)*x^2+14*f(x)*x-f(x)+6*x ogf] A248338 13.7003 [-(80*x-14)/(40*x^2-14*x+1) lgdogf] A248338 18.2671 [6*x/(10*x-1)/(4*x-1) ogf] A248338 8.58335 [{a(n+2)-14*a(n+1)+40*a(n),a(0)=0,a(1)=6} ogf] A248339 13.8131 [-(3*x+41)/(3*x^2+16*x-19) lgdogf] A248339 15.3146 [(3*x+19)/(x-1)^2 ogf] A248339 7.91539 [(44*f(x)+845)*(f(x)*x^2-2*f(x)*x+f(x)-3*x-19) ogf] A248339 8.38655 [{-a(n+2)+2*a(n+1)-a(n),a(0)=19,a(1)=41} ogf] A248340 10.4605 [-50*f(x)*x^2+15*f(x)*x-f(x)+5*x ogf] A248340 12.0394 [-(100*x-15)/(50*x^2-15*x+1) lgdogf] A248340 16.3613 [5*x/(10*x-1)/(5*x-1) ogf] A248340 7.68783 [{a(n+2)-15*a(n+1)+50*a(n),a(0)=0,a(1)=5} ogf] A248341 10.4605 [-70*f(x)*x^2+17*f(x)*x-f(x)+3*x ogf] A248341 12.0394 [-(140*x-17)/(70*x^2-17*x+1) lgdogf] A248341 16.3613 [3*x/(10*x-1)/(7*x-1) ogf] A248341 7.68783 [{a(n+2)-17*a(n+1)+70*a(n),a(0)=0,a(1)=3} ogf] A248343 10.4605 [-80*f(x)*x^2+18*f(x)*x-f(x)+2*x ogf] A248343 12.0394 [-(160*x-18)/(80*x^2-18*x+1) lgdogf] A248343 16.3613 [2*x/(10*x-1)/(8*x-1) ogf] A248343 7.68783 [{a(n+2)-18*a(n+1)+80*a(n),a(0)=0,a(1)=2} ogf] A248375 10.6480 [x*(2*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A248378 7.11837 [-(900*x^20-900*x^19-90*x^18+810*x^17-810*x^16+10*x^2-9*x-12)/(x+1)/(x-1)^2 ogf] A248394 4.27298 [-(-3*x^15+2*x^13-3*x^11+2*x^9-2*x^7+2*x^5-3*x^3+2*x)/(x^16-1) ogf_with_Euler_transform] A248395 6.26019 [-(3*x^15-2*x^11+4*x^7-2*x^3)/(-x^16+1) ogf_with_Euler_transform] A248417 12.0496 [-(31*x^2+50*x+3)/(x^3-31*x^2-25*x-1) ogf] A248417 5.97878 [-(2616289*f(x)-2863755)*(f(x)*x^3-31*f(x)*x^2-25*f(x)*x+31*x^2-f(x)+50*x+3) ogf] A248417 6.69420 [{-a(n+3)-25*a(n+2)-31*a(n+1)+a(n),a(0)=3,a(1)=-25,a(2)=563} ogf] A248417 6.81062 [-(-31*x^4-100*x^3+766*x^2+124*x+25)/(-31*x^5+911*x^4+2322*x^3+1374*x^2+125*x+3) lgdogf] A248425 11.8286 [x^4*(x^4-x^2+1)/(x-1)^2/(x^2+x-1)^2 ogf] A248425 9.66760 [-(-2*x^6+4*x^3-6*x^2-2*x+4)/(-x^7+3*x^5-x^4-3*x^3+x^2+2*x-1) lgdogf] A248427 8.00914 [-2*(x^5-2*x^4+2*x^3-2*x^2-x+4)/(x+1)/(x-1)^3 ogf] A248428 11.4059 [-4*(7*x^3-x^2-x-4)/(x-1)/(2*x^3-1) ogf] A248428 6.58387 [(f(x)+186)*(2*f(x)*x^4-2*f(x)*x^3+28*x^3-f(x)*x-4*x^2+f(x)-4*x-16) ogf] A248429 10.4342 [-(84*x^3-24*x^2-16*x-29)/(x-1)/(4*x^3-1) ogf] A248429 5.64218 [-(2397*f(x)+187892)*(4*f(x)*x^4-4*f(x)*x^3+84*x^3-f(x)*x-24*x^2+f(x)-16*x-29) ogf] A248430 6.11134 [-2*(56*x^6-20*x^5-12*x^4-86*x^3+24*x^2+14*x+21)/(x-1)/(4*x^6-6*x^3+1) ogf] A248431 5.65122 [-(164*x^8+108*x^7+76*x^6-375*x^5-239*x^4-161*x^3+185*x^2+105*x+61)/(x-1)/(x^2+x+1)/(4*x^6-7*x^3+1) ogf] A248434 12.0703 [-(x^3-2*x^2+5*x+2)/(x+1)/(x-1)^3 ogf] A248434 6.40653 [-(4590*f(x)-24017)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-2*x^2-f(x)+5*x+2) ogf] A248434 8.49846 [-(-x^4+2*x^3-14*x^2-14*x-9)/(-x^5+2*x^4-4*x^3-4*x^2+5*x+2) lgdogf] A248435 6.77754 [-(x^7-x^6+17*x^5+16*x^4+23*x^3+11*x^2+7*x+2)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A248449 5.18334 [6*(23*x^5-39*x^4-54*x^3-114*x^2-49*x-7)/(x+1)/(x-1)^7 ogf] A248456 5.42068 [-4*(16*x^5+53*x^4+30*x^3-5*x^2-13*x-12)/(4*x^6+12*x^5+3*x^4-4*x^3-3*x^2-2*x+1) ogf] A248457 5.08259 [-4*(50*x^5+186*x^4+147*x^3+27*x^2-23*x-24)/(2*x-1)/(4*x^5+16*x^4+16*x^3+7*x^2+x-1) ogf] A248462 10.8864 [6*(x^2+1)/(x+1)/(x-1)^4 ogf] A248462 13.2451 [-(-3*x^3-3*x^2-7*x-3)/(-x^4+1) lgdogf] A248462 27.2214 [[-x^3+2*x+3] ogf_with_Euler_transform] A248463 4.63916 [-2*(14*x^8+17*x^7+42*x^6+48*x^5+69*x^4+47*x^3+38*x^2+8*x+5)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A248474 5.1393 [-(27*f(x)+979)*(f(x)*x^3-f(x)*x^2-f(x)*x-13*x^2+f(x)-4*x-13) ogf] A248474 5.36275 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=13,a(1)=17,a(2)=43} ogf] A248474 7.90662 [-(-13*x^3-21*x^2-69*x-17)/(-13*x^4-4*x^3+4*x+13) lgdogf] A248474 9.78914 [(13*x^2+4*x+13)/(x+1)/(x-1)^2 ogf] A248484 6.81442 [-4*(664*x^6-54*x^5-48*x^4-42*x^3-36*x^2-30*x-181)/(x-1)/(2*x^3-1)/(2*x^3+1) ogf] A248490 6.83589 [-(x^5-4*x^4+144*x^3+102*x^2+95*x+22)/(x+1)/(x-1)^5 ogf] A248491 3.51614 [-(x^11-2*x^10-700*x^9-102*x^8+383*x^7+1542*x^6+2001*x^5+1640*x^4+1056*x^3+500*x^2+139*x+22)/(x^2+1)/(x+1)/(x^2+x+1)^2/(x-1)^5 ogf] A248520 8.58429 [-(x^20-x^19-x^4-2*x^3-3*x^2-3*x-2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A248527 8.29760 [2*(17*x^6+5*x^5+8*x^4+5*x^3+8*x^2+5*x+17)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A248533 9.53733 [-(190*x^4-12*x^3-12*x^2-12*x-101)/(x-1)/(2*x^4-1) ogf] A248538 6.98253 [-(x^6-2*x^5-13*x^4+x^3-22*x^2-11*x-2)/(x^2+x+1)/(x+1)/(x-1)^4 ogf] A248555 4.47266 [(9735171651261329914186*f(x)+5860194186511028283606873323)*(70110*x^4+f(x)*x^2-100080*x^3-2*f(x)*x+f(x)-201*x-132) ogf] A248555 9.79151 [-3*(23370*x^4-33360*x^3-67*x-44)/(x-1)^2 ogf] A248556 10.7769 [-3*(23340*x^4-33330*x^3-70*x-41)/(x-1)^2 ogf] A248556 4.88642 [(4836987383803734968354*f(x)+2911523114861062050811360765)*(70020*x^4+f(x)*x^2-99990*x^3-2*f(x)*x+f(x)-210*x-123) ogf] A248572 10.0393 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=30} ogf] A248572 16.0242 [-(-28*x-30)/(-28*x^2+27*x+1) lgdogf] A248572 18.1143 [(28*x+1)/(x-1)^2 ogf] A248572 9.36248 [(29*f(x)+421)*(f(x)*x^2-2*f(x)*x+f(x)-28*x-1) ogf] A248574 3.67607 [{(-8*n^2-8*n)*a(n)+(4*n^2+8*n+4)*a(n+1)+(2*n^2+4*n-2)*a(n+2)+(-n^2-3*n)*a(n+3),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A248574 4.84053 [8*f(x)^2*x^3-4*f(x)^2*x^2+4*f(x)*x^3-2*f(x)^2*x+4*f(x)*x^2+x^3+f(x)^2-f(x)*x+2*x^2-f(x)+x ogf] A248575 12.5130 [2*x*(5*x^2+8*x+5)/(x+1)/(x-1)^4 ogf] A248575 13.8301 [-(-15*x^3-47*x^2-59*x-23)/(-5*x^4-8*x^3+8*x+5) lgdogf] A248598 10.1716 [-6*x^2*(7*x-9)/(x-1)^4 ogf] A248598 14.1605 [-(-21*x+29)/(-7*x^2+16*x-9) lgdogf] A248598 4.75121 [{(-9-9*n)*a(n+3)+(29+16*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=0,a(2)=54} ogf] A248598 5.15845 [(1504*f(x)+1677135)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+42*x^3-4*f(x)*x-54*x^2+f(x)) ogf] A248604 4.13254 [-(4*x^4+2*x^2-1)/(2*x-1)/(x-1) ogf] A248604 8.23535 [(f(x)-10)*(4*x^4+2*f(x)*x^2-3*f(x)*x+2*x^2+f(x)-1) ogf] A248619 4.44243 [-16*x*(x^6+72*x^5+603*x^4+1168*x^3+603*x^2+72*x+1)/(x-1)^9 ogf] A248621 12.3360 [-(-6*x^2-24*x-15)/(-2*x^3-3*x^2+3*x+2) lgdogf] A248621 4.05062 [{(6+2*n)*a(n+4)+(-9+3*n)*a(n+3)+(-27-3*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=16,a(2)=120,a(3)=456} ogf] A248621 9.46715 [-8*x*(x+2)*(2*x+1)/(x-1)^5 ogf] A248631 6.33938 [-(x^21-x^20+x^14-x^13+x^10-x^9+x^6+2*x^3-x^2-x-3)/(x^2+x+1)/(x-1)^2 ogf] A248640 5.00198 [-x^4*(2*x^20+2*x^19+x^18+x^17+x^16+x^15+x^10+x^5+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1) ogf] A248646 14.9096 [-(x^3+x^2+x+2)/(2*x-1) ogf] A248646 8.06338 [{a(n+4)-2*a(n+3),a(0)=2,a(1)=5,a(2)=11,a(3)=23} ogf] A248646 9.08288 [(397*f(x)-170)*(x^3+2*f(x)*x+x^2-f(x)+x+2) ogf] A248646 9.87764 [-(-4*x^3+x^2+2*x+5)/(2*x^4+x^3+x^2+3*x-2) lgdogf] A248698 4.24295 [{(-25*n^2-109*n-118)*a(n+1)+(26*n^2+62*n+368)*a(n+2)+(-n^2-49*n-94)*a(n+3),a(0)=0,a(1)=23,a(2)=166} ogf] A248698 8.44076 [-x*(x^3+21*x^2+51*x+23)/(x-1)^5 ogf] A248698 8.91496 [-(-2*x^3-66*x^2-246*x-166)/(-x^4-20*x^3-30*x^2+28*x+23) lgdogf] A248699 9.30701 [(x^5+3*x^4+3*x^3+5*x^2+x+2)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A248707 11.6476 [3*hypergeom([4/3,5/3],[3],27*x) ogf] A248707 4.99185 [{(-27*n^2-135*n-168)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=3,a(1)=60} ogf] A248708 3.77296 [{(256*n^3+2432*n^2+7664*n+8008)*a(n+1)+(-n^3-11*n^2-38*n-40)*a(n+2),a(0)=60,a(1)=12600} ogf] A248800 10.7693 [-2*(x^3+x^2-x+1)/(x+1)/(x-1)^3 ogf] A248800 6.24436 [(5*f(x)-8)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+2*x^2-f(x)-2*x+2) ogf] A248800 8.44408 [-(-x^4-4*x^3-2*x^2-4*x-1)/(-x^5-x^4+2*x^3-x+1) lgdogf] A248825 11.3728 [-(-6*x^3-14*x-4)/(-3*x^4+2*x^3-2*x+3) lgdogf] A248825 11.3728 [-x*(3*x^2-2*x+3)/(x+1)/(x-1)^3 ogf] A248825 6.00999 [-(171*f(x)-167)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x-2*x^2-f(x)+3*x) ogf] A248833 12.2193 [-5*(5*x^2-13*x+2)/(x-1)/(x^2-8*x+1) ogf] A248833 6.57171 [(1722*f(x)-671)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x+25*x^2-f(x)-65*x+10) ogf] A248833 6.74166 [{-a(n+3)+9*a(n+2)-9*a(n+1)+a(n),a(0)=10,a(1)=25,a(2)=160} ogf] A248833 7.44793 [-(-5*x^4+26*x^3-78*x^2+26*x-5)/(-5*x^5+58*x^4-164*x^3+140*x^2-31*x+2) lgdogf] A248834 5.27417 [{-a(n+4)+17*a(n+3)-51*a(n+2)+27*a(n+1),a(0)=15,a(1)=25,a(2)=245,a(3)=3025} ogf] A248834 5.58905 [(943*f(x)-8373)*(27*f(x)*x^3-51*f(x)*x^2-270*x^3+17*f(x)*x+585*x^2-f(x)-230*x+15) ogf] A248834 9.48015 [5*(54*x^3-117*x^2+46*x-3)/(3*x-1)/(9*x^2-14*x+1) ogf] A248848 12.2215 [-(x-1)*(x+1)/(x^4-9*x^3-2*x^2-9*x+1) ogf] A248848 5.88443 [-(28519*f(x)-648)*(f(x)*x^4-9*f(x)*x^3-2*f(x)*x^2-9*f(x)*x+x^2+f(x)-1) ogf] A248848 7.56569 [-(2*x^5-9*x^4-4*x^3+36*x^2+2*x+9)/(x^6-9*x^5-3*x^4+3*x^2+9*x-1) lgdogf] A248851 8.82978 [-(-2*x^4+3*x^3-x^2-14*x-10)/(-x^5+2*x^4-5*x^2+x+3) lgdogf] A248851 8.92899 [x*(x^3-2*x^2+x+3)/(x+1)/(x-1)^4 ogf] A248877 11.2880 [-(4*x^2+92*x-71)/(4*x^3+40*x^2-67*x+23) lgdogf] A248877 16.9321 [(2*x+23)/(2*x-1)/(x-1) ogf] A248877 8.55906 [(121*f(x)+2258)*(2*f(x)*x^2-3*f(x)*x+f(x)-2*x-23) ogf] A248877 9.27232 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=23,a(1)=71} ogf] A248880 9.64802 [-(x^2-x+1)*(x^4-x^2+1)/(x^6-x^3+x^2+x-1) ogf] A248882 7.11047 [-(x^6+7*x^5+23*x^4+28*x^3+23*x^2+7*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A248886 5.39098 [-(2*x^11+2*x^10+2*x^8+x^7+2*x^6+2*x^5+2*x^4+x^3+2*x^2+2)/(-x^12+1) ogf_with_Euler_transform] A248917 10.0776 [-(12*x^3-14*x^2+4*x-1)/(x-1)/(2*x-1)^3 ogf] A248917 5.37031 [-(3124*f(x)+54127)*(8*f(x)*x^4-20*f(x)*x^3+18*f(x)*x^2+12*x^3-7*f(x)*x-14*x^2+f(x)+4*x-1) ogf] A248917 8.00282 [-(-24*x^4+32*x^3-2*x^2-4*x-3)/(-24*x^5+64*x^4-62*x^3+28*x^2-7*x+1) lgdogf] A248924 10.3246 [(2*x+1)*(x^2-2)/(x^2+x-1)/(x+1)^2 ogf] A248924 4.41663 [{(n+5)*a(n+1)+(2*n+9)*a(n+2)-a(n+3)+(-n-4)*a(n+4),a(0)=2,a(1)=2,a(2)=1,a(3)=7} ogf] A248924 5.55939 [(805*f(x)+15308)*(f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2-2*x^3-f(x)*x-x^2-f(x)+4*x+2) ogf] A248924 7.42984 [-(2*x^5-13*x^3-15*x^2-4*x-2)/(2*x^6+5*x^5-2*x^4-12*x^3-5*x^2+4*x+2) lgdogf] A248959 8.97992 [(3*x^6+3*x^4-14*x^3-5*x^2-2*x-1)/(x^3+x^2+x-1) ogf] A248960 6.58467 [(3*x^10-6*x^8-14*x^6-8*x^5+28*x^4+10*x^3+4*x^2+2*x+1)/(x+1)/(x^5-2*x^3-2*x+1) ogf] A248969 6.21210 [(3*x^11+x^10+12*x^9+5*x^8+15*x^7+6*x^6+27*x^5+12*x^4+12*x^3+5*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A248974 6.92280 [-(x^4-124*x^3-2154*x^2-3964*x-959)/(x^5-65*x^4-590*x^3-10*x^2+605*x+59) lgdogf] A248974 7.74531 [(x^4-64*x^3-654*x^2-664*x-59)/(x-1)^5 ogf] A248982 5.66183 [(x-1)*(40*x^15+98*x^13+4*x^11+3*x^10-80*x^9+7*x^8-2*x^6-2*x^5-12*x^4-4*x^3-4*x^2-4*x-1)/(x^4+x^2-1)^2 ogf] A248988 3.78049 [-(x^11+206*x^9+416*x^8+653*x^7+810*x^6+825*x^5+614*x^4+422*x^3+198*x^2+53*x+2)/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A248996 3.39389 [-4*(192*x^8+563*x^7-1168*x^6-3382*x^5-36*x^4-579*x^3-241*x^2+52*x+205)/(3*x^9+8*x^8-21*x^7-48*x^6+16*x^5-9*x^4-x^3+2*x^2+3*x-1) ogf] A249013 9.54624 [x^2*(x^4-x^3-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A249014 7.69235 [-(-2*x^3+6*x^2-6*x+3)/(-x^4+4*x^3-6*x^2+4*x-1) lgdegf] A249015 4.27393 [{(-n^2-7*n-12)*a(n+1)+(-2*n-8)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=5,a(3)=17} ogf] A249019 4.84103 [(3*x^15+3*x^12-26*x^10-8*x^9-14*x^7-8*x^6+60*x^5+22*x^4+9*x^3+4*x^2+2*x+1)/(x^10+x^9+x^7+x^6-6*x^5-5*x^4-3*x^3-2*x^2-x+1) ogf] A249020 10.6440 [-(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A249020 14.5741 [1+x+1/2*x^2+1/24*x^4-1/120*x^5 egf]_with_Euler_transform] A249025 6.61223 [(x^29-x^27+x^26-x^23+2*x^4+x^2+2)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A249059 3.24841 [{(4*n^2+32*n+48)*a(n+1)+(n^2+15*n+36)*a(n+2)+(-4-3*n)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=5,a(2)=10,a(3)=40} ogf] A249060 3.52366 [{(4*n^2+32*n+48)*a(n+1)+(n^2+11*n+28)*a(n+2)+(-8-4*n)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=24} ogf] A249062 13.2230 [-(x^3+3*x^2+3*x+2)/(-x-1) lgdegf] A249062 4.28027 [{(-n^2-6*n-8)*a(n+1)+(-2*n-7)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=18} ogf] A249075 3.30925 [{(8*n^2+48*n+64)*a(n+1)+(2*n^2+22*n+48)*a(n+2)+(-4-3*n)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=5,a(2)=11,a(3)=51} ogf] A249086 3.66024 [-(x^9-3*x^8-880*x^7-1135*x^6-2260*x^5-1823*x^4-1364*x^3-617*x^2-177*x-22)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A249098 8.73175 [(x^6+x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A249099 10.5708 [(3*x^4+2*x^3+2*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A249101 3.23663 [{(-6*n^2-33*n-42)*a(n+1)+(-2*n^2-20*n-42)*a(n+2)+(2+2*n)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=4,a(2)=9,a(3)=37} ogf] A249123 7.45764 [(2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A249127 11.0358 [-x*(2*x^3+4*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A249127 4.19737 [{(-5*n^2-25*n-30)*a(n+1)+(-4*n^2-37*n-75)*a(n+2)+(5*n^2+6*n-8)*a(n+3)+(4*n^2+20*n+24)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=12} ogf] A249127 9.92106 [-(-4*x^4-14*x^3-30*x^2-18*x-6)/(-2*x^5-4*x^4-3*x^3+3*x^2+5*x+1) lgdogf] A249164 7.51810 [-(11*x^2+1)*(x+1)^2/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A249166 12.0303 [-(810*x^6-990*x^5-11*x-11)/(x-1)^2 ogf] A249169 5.28624 [-1/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A249190 5.65001 [-2*(32*x^5+48*x^4+56*x^3+60*x^2+62*x+63)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A249221 13.8565 [-(2*x^3-5*x-1)/(2*x^4-6*x^2+1) ogf] A249221 7.66813 [-(5578*f(x)+3679)*(2*f(x)*x^4-6*f(x)*x^2+2*x^3+f(x)-5*x-1) ogf] A249222 14.0454 [-(5*x^3-5*x-1)/(x-1)/(x+1)/(5*x^2-1) ogf] A249222 8.33943 [(2*f(x)+4739)*(5*f(x)*x^4-6*f(x)*x^2+5*x^3+f(x)-5*x-1) ogf] A249227 12.6101 [{a(n+1)-2*a(n),a(0)=486} ogf] A249227 15.8359 [-2*f(x)*x+f(x)-486 ogf] A249227 24.3194 [2/(-2*x+1) lgdogf] A249227 25.2201 [-486/(2*x-1) ogf] A249234 3.74682 [-6*(147*x^8+53*x^7+266*x^6+167*x^5+314*x^4+267*x^3+166*x^2+53*x+7)/(x^2+x+1)/(x+1)^2/(x-1)^7 ogf] A249246 6.18386 [(3*x^11+x^10+12*x^9+5*x^8+15*x^7+6*x^6+15*x^5+12*x^4+12*x^3+5*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A249264 7.09477 [x*(66*x^16-66*x^15-153*x^14+153*x^13+91*x^12-91*x^11-3*x^2-x-2)/(x-1)^3/(x+1)^3 ogf] A249265 5.01956 [x*(x-1)*(12*x^12+28*x^10+3*x^9-2*x^8+7*x^7-24*x^6-2*x^5-9*x^3-4*x^2-3*x-2)/(x^4+x^2-1)^2 ogf] A249285 4.04826 [-4*(48*x^7-18*x^6-133*x^5+23*x^4+134*x^3+104*x^2+63*x+51)/(3*x^8-2*x^7-8*x^6+4*x^5+8*x^4+4*x^3+2*x^2+2*x-1) ogf] A249291 6.28759 [-2*(7*x^5+29*x^3+17*x^2+12*x+7)/(x^2+x+1)/(x+1)/(x-1)^5 ogf] A249308 13.1275 [-(-16*x-2)/(-32*x^3-16*x^2+2*x+1) lgdogf] A249308 13.3538 [-16*f(x)^2*x^2+f(x)^2-4*x^2-4*x-1 ogf] A249308 4.52937 [{(-n-3)*a(n+3)+(-2-2*n)*a(n+2)+(32+16*n)*a(n+1)+32*n*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A249310 13.4101 [-(x+1)*(6*x^2-6*x-1)/(6*x^4-8*x^2+1) ogf] A249310 7.49388 [-(358*f(x)+1143)*(6*f(x)*x^4-8*f(x)*x^2+6*x^3+f(x)-7*x-1) ogf] A249311 13.1564 [-(x+1)*(8*x^2-8*x-1)/(8*x^4-10*x^2+1) ogf] A249311 7.48113 [-(187*f(x)+777)*(8*f(x)*x^4-10*f(x)*x^2+8*x^3+f(x)-9*x-1) ogf] A249312 11.9642 [-(x+1)*(10*x^2-10*x-1)/(10*x^4-12*x^2+1) ogf] A249312 6.82069 [-(1354*f(x)+6945)*(10*f(x)*x^4-12*f(x)*x^2+10*x^3+f(x)-11*x-1) ogf] A249313 12.4449 [-(x+1)*(12*x^2-12*x-1)/(12*x^4-14*x^2+1) ogf] A249313 7.09473 [-(1112*f(x)+6795)*(12*f(x)*x^4-14*f(x)*x^2+12*x^3+f(x)-13*x-1) ogf] A249333 10.3476 [-(3*x^4-x^3-7*x^2+2*x+7)/(x+1)^2/(x-1)^3 ogf] A249333 8.29590 [-(-3*x^5-x^4+10*x^3+2*x^2-23*x-9)/(-3*x^6+x^5+10*x^4-3*x^3-14*x^2+2*x+7) lgdogf] A249349 4.11248 [{(2*n^2+11*n+15)*a(n+1)+(-2*n^2-12*n-17)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A249354 10.6936 [x*(x^2+10*x+7)/(x-1)^4 ogf] A249354 11.9898 [-(2*x^2+32*x+38)/(x^3+9*x^2-3*x-7) lgdogf] A249354 3.93696 [{(21+7*n)*a(n+4)+(-32+3*n)*a(n+3)+(-41-9*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=7,a(2)=38,a(3)=111} ogf] A249354 5.65235 [(1272*f(x)+7817)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-10*x^2+f(x)-7*x) ogf] A249356 9.67800 [-(x^5-x^4+15*x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A249391 10.2644 [-(f(x)-x-1)^3 ogf] A249393 9.9711 [(f(x)-x-1)^2 ogf] A249450 12.2666 [(3*x-1)*(x-2)/(x-1)/(x^2-3*x+1) ogf] A249450 6.56371 [(51*f(x)-101)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+7*x-2) ogf] A249450 6.68093 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=-2,a(1)=-1,a(2)=1} ogf] A249450 7.26470 [-(3*x^4-14*x^3+22*x^2-10*x+1)/(3*x^5-19*x^4+42*x^3-39*x^2+15*x-2) lgdogf] A249452 11.3420 [-(16*x^3+14*x^2-16*x-15)/(2*x^2-1)/(x-1) ogf] A249452 6.08798 [{-a(n+4)+a(n+3)+2*a(n+2)-2*a(n+1),a(0)=15,a(1)=31,a(2)=47,a(3)=63} ogf] A249452 6.2253 [-(255*f(x)+15151)*(2*f(x)*x^3-2*f(x)*x^2+16*x^3-f(x)*x+14*x^2+f(x)-16*x-15) ogf] A249453 12.2100 [-(12*x^2-13*x+4)/(2*x-1)/(x-1)^2 ogf] A249453 6.51891 [(255*f(x)-1064)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+12*x^2-f(x)-13*x+4) ogf] A249453 6.86814 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=4,a(1)=3,a(2)=4} ogf] A249453 8.84175 [-(-24*x^3+28*x^2-13*x+3)/(-24*x^4+62*x^3-59*x^2+25*x-4) lgdogf] A249454 7.07006 [(16*x^3+(256*x^6+128*x^4+20*x^2+1)^(1/2)+4*x)/(4*x^2+1) lgdegf] A249457 4.97702 [{-a(n+3)+37*a(n+2)-111*a(n+1)+27*a(n),a(0)=10,a(1)=100,a(2)=2890} ogf] A249457 5.42295 [(20092*f(x)-23017)*(27*f(x)*x^3-111*f(x)*x^2+37*f(x)*x+300*x^2-f(x)-270*x+10) ogf] A249457 8.67424 [-10*(30*x^2-27*x+1)/(3*x-1)/(9*x^2-34*x+1) ogf] A249458 4.28685 [(40596*f(x)+196801)*(343*f(x)*x^3-231*f(x)*x^2+33*f(x)*x+700*x^2-f(x)-230*x+10) ogf] A249458 4.53082 [{-a(n+3)+33*a(n+2)-231*a(n+1)+343*a(n),a(0)=10,a(1)=100,a(2)=1690} ogf] A249458 7.84917 [-10*(70*x^2-23*x+1)/(7*x-1)/(49*x^2-26*x+1) ogf] A249460 3.54536 [{(3*n^2+35*n+58)*a(n+1)+(-7*n^2-28*n+125)*a(n+2)+(4*n^2-13*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A249460 5.75344 [-x^3*(20*x^3+6*x^2+3*x+1)/(x-1)^7 ogf] A249460 7.62665 [-(80*x^3+90*x^2+30*x+10)/(20*x^4-14*x^3-3*x^2-2*x-1) lgdogf] A249467 3.70761 [10*(3*x^8-3*x^7+32*x^6+5*x^5+50*x^4+19*x^3+28*x^2+7*x+3)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^6 ogf] A249483 7.45273 [-(x^2+8*x+1)*(x^2-5*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A249512 7.85122 [-5*f(x)^2*x^2+4*f(x)*x^2+f(x)^2-2*f(x)+1 ogf] A249513 7.50764 [20*f(x)^2*x^4+f(x)^2*x^2+40*f(x)*x^3-f(x)^2+10*f(x)*x+1 ogf] A249547 12.7592 [-(-9*x^2-14*x-7)/(-3*x^3-2*x^2+3*x+2) lgdogf] A249547 14.5500 [-x*(3*x+2)/(x+1)/(x-1)^3 ogf] A249547 4.20989 [{(-6-2*n)*a(n+4)+(1-3*n)*a(n+3)+(16+2*n)*a(n+2)+(9+3*n)*a(n+1),a(0)=0,a(1)=2,a(2)=7,a(3)=14} ogf] A249547 7.4049 [(525*f(x)-2903)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+2*x) ogf] A249572 10.5520 [(10*x^3-6*x^2+3*x+1)/(x-1)/(10*x^2-1) ogf] A249572 5.62772 [{-a(n+4)+a(n+3)+10*a(n+2)-10*a(n+1),a(0)=1,a(1)=4,a(2)=8,a(3)=48} ogf] A249572 6.12696 [(9+215*f(x))*(10*f(x)*x^3-10*f(x)*x^2-10*x^3-f(x)*x+6*x^2+f(x)-3*x-1) ogf] A249572 6.72338 [-(40*x^4+80*x^3-36*x^2-8*x-4)/(100*x^6-160*x^5+80*x^4-4*x^3-19*x^2+2*x+1) lgdogf] A249576 12.5932 [-x*(2*x^4-x^3+x^2+1)/(x^6+2*x^3-1) ogf] A249577 12.9238 [-(x^4+x^2-x+2)/(x^6-2*x^3-1) ogf] A249578 9.76949 [x*(3*x^4-2*x^3+x^2+1)/(x^6-4*x^3+1) ogf] A249579 9.47773 [-x*(3*x^6-x^5-2*x^4+x^3+x+1)/(x^8+3*x^4-1) ogf] A249580 7.55993 [-(x^6+x^5+x^3-2*x^2-x+3)/(x^8-3*x^4-1) ogf] A249581 8.94849 [x*(4*x^6-2*x^5-3*x^4+x^3+x+1)/(2*x^8-5*x^4+1) ogf] A249582 12.3978 [-(5*x^2-1)/(25*x^4-5*x^3-8*x^2-x+1) ogf] A249582 6.24621 [(2774*f(x)+305)*(25*f(x)*x^4-5*f(x)*x^3-8*f(x)*x^2-f(x)*x+5*x^2+f(x)-1) ogf] A249582 7.11525 [-(250*x^5-25*x^4-100*x^3+20*x^2+6*x+1)/(125*x^6-25*x^5-65*x^4+13*x^2+x-1) lgdogf] A249604 15.5074 [1/(x-1)/(100*x^2+10*x-1) ogf] A249604 5.86413 [{-a(n+3)+11*a(n+2)+90*a(n+1)-100*a(n),a(0)=1,a(1)=11,a(2)=211} ogf] A249604 6.12133 [-(45871*f(x)+1325)*(100*f(x)*x^3-90*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A249604 9.55934 [-(-300*x^2+180*x+11)/(-100*x^3+90*x^2+11*x-1) lgdogf] A249657 4.11589 [-(x^9-3*x^8+32*x^7-31*x^6+172*x^5-19*x^4+148*x^3+11*x^2+47*x+2)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^5 ogf] A249665 7.85775 [-(x^3+x-1)/(x^8+x^7-x^5-x^4-2*x^3+x^2-2*x+1) ogf] A249674 13.4916 [-f(x)*x^2+2*f(x)*x-f(x)+30*x ogf] A249674 21.3026 [30*x/(x-1)^2 ogf] A249674 28.9107 [2/(-x+1) lgdogf] A249674 61.9392 [[2] ogf_with_Euler_transform] A249674 9.87194 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=30} ogf] A249691 3.28873 [{(-81*n^2-243*n-180)*a(n+1)+(39*n^2+204*n+273)*a(n+2)+(-4*n^2-26*n-42)*a(n+3),a(0)=2,a(1)=7,a(2)=36} ogf] A249691 7.40956 [-27*f(x)^3*x^2+4*f(x)^3*x-12*f(x)*x-f(x)-x+2 ogf] A249693 8.42592 [(x^5+3*x^4+3*x^3-x^2+2*x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A249701 4.01960 [-(54*x^9+34*x^8-36*x^7-55*x^6-2*x^5-127*x^4-25*x^3+35*x^2-48*x+39)/(x+1)/(2*x^3-2*x^2+2*x-1)/(x^6-x^4-x^3+x^2-2*x+1) ogf] A249708 7.61347 [-(x^4-6*x^3-6*x^2+2*x+69)/(x^5-6*x^4+8*x^3-4*x^2+15*x-14) lgdogf] A249708 7.85140 [-(x-2)*(x^3-3*x^2-3*x-7)/(x-1)^5 ogf] A249709 6.41916 [-(x^5-6*x^4+12*x^3+10*x^2-5*x-20)/(x-1)^6 ogf] A249710 5.89278 [-(x^5-6*x^4+20*x^3+10*x^2-53*x-28)/(x-1)^6 ogf] A249711 6.21656 [-(x^5-6*x^4+24*x^3-32*x^2-149*x-38)/(x-1)^6 ogf] A249712 4.81528 [-(x^6-7*x^5+20*x^4-136*x^3-81*x^2+295*x+52)/(x-1)^7 ogf] A249713 4.51930 [-(x^7-8*x^6+5*x^5-152*x^4+411*x^3+344*x^2-601*x-72)/(x-1)^8 ogf] A249714 6.82561 [x*(18*x^6+3*x^5+2*x^4+5*x^3-x-1)/(2*x-1) ogf] A249715 5.42135 [x*(40*x^7-32*x^6-4*x^5+8*x^4-12*x^3+3*x^2-6*x+4)/(2*x-1)/(x-1) ogf] A249753 4.06400 [-(16*x^11+8*x^10+14*x^9-7*x^8-33*x^7-8*x^6-13*x^5-13*x^4+16*x^3+9*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(8*x^2-1)/(2*x^2-1)/(x^2+1) ogf] A249789 8.49423 [(16*x^3+(-4*x^2+1)^(1/2)-4*x)/(32*x^4-12*x^2+1) lgdegf] A249792 7.61453 [-(2*x^4+x^3-9*x^2+2*x+1)/(x^7-7*x^6+19*x^5-31*x^4+36*x^3-26*x^2+9*x-1) lgdogf] A249845 3.82984 [{(n^2+6*n+8)*a(n+1)+(-2*n^2-14*n-53)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=10,a(1)=110,a(2)=560} ogf] A249845 6.97031 [10*(x+1)*(x^2+4*x+1)/(x-1)^6 ogf] A249845 9.29375 [-(3*x^3+23*x^2+35*x+11)/(x^4+4*x^3-4*x-1) lgdogf] A249846 5.54685 [-2*(17*x^4+112*x^3+162*x^2+64*x+5)/(x-1)^7 ogf] A249847 4.36338 [(103*x^5+990*x^4+2186*x^3+1472*x^2+279*x+10)/(x-1)^8 ogf] A249848 3.80860 [-(311*x^6+4287*x^5+14224*x^4+15390*x^3+5535*x^2+563*x+10)/(x-1)^9 ogf] A249852 10.1265 [-x*(x^3+x^2+x+2)/(x^2+1)/(x-1)^3 ogf] A249852 8.92333 [-(2*x^5+4*x^4+4*x^3+13*x^2+7)/(x^6+x^4+x^3-2*x^2+x-2) lgdogf] A249859 5.88504 [(6*x^12+2*x^11+3*x^10-23*x^8-12*x^7-30*x^6-8*x^5-12*x^4-6*x^3-5*x^2-3)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A249862 13.9852 [-(17*x-1)/(9*x^2-34*x+1) ogf] A249862 6.91901 [-(560*f(x)-271)*(9*f(x)*x^2-34*f(x)*x+f(x)+17*x-1) ogf] A249862 7.82506 [{a(n+2)-34*a(n+1)+9*a(n),a(0)=1,a(1)=17} ogf] A249862 9.00418 [-(-153*x^2+18*x-17)/(-153*x^3+587*x^2-51*x+1) lgdogf] A249863 10.2906 [-(98*x-26)/(49*x^2-26*x+1) lgdogf] A249863 15.2889 [1/(49*x^2-26*x+1) ogf] A249863 6.2222 [(289*f(x)+49)*(49*f(x)*x^2-26*f(x)*x+f(x)-1) ogf] A249863 6.29541 [{-a(n+2)+26*a(n+1)-49*a(n),a(0)=1,a(1)=26} ogf] A249864 10.9171 [-(13*x-1)/(49*x^2-26*x+1) ogf] A249864 5.51599 [-(240*f(x)-71)*(49*f(x)*x^2-26*f(x)*x+f(x)+13*x-1) ogf] A249864 6.16494 [{a(n+2)-26*a(n+1)+49*a(n),a(0)=1,a(1)=13} ogf] A249864 7.17836 [-(-637*x^2+98*x-13)/(-637*x^3+387*x^2-39*x+1) lgdogf] A249884 4.41618 [35*(x+1)*(x^2+10*x+1)*(x^2+4*x+1)/(x-1)^8 ogf] A249885 3.82264 [-5*(31*x^6+546*x^5+2457*x^4+3340*x^3+1473*x^2+210*x+7)/(x-1)^9 ogf] A249908 5.23261 [-5*f(x)^2*x^3-2*f(x)^2*x^2-f(x)^2*x-5*f(x)*x^2-2*f(x)*x-f(x)-x-1 ogf] A249910 13.8749 [-(4*x^3+x^2+2*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A249910 7.78349 [-(f(x)+5)*(f(x)*x^4-f(x)*x^3+4*x^3+f(x)*x+x^2-f(x)+2*x+2) ogf] A249911 13.8298 [-x*(57*x+1)/(x-1)^3 ogf] A249911 15.1345 [-(-114*x-60)/(-57*x^2+56*x+1) lgdogf] A249911 6.316 [-(34740028*f(x)-667871799)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+57*x^2-f(x)+x) ogf] A249911 7.16188 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=60} ogf] A249916 9.16742 [(x^4-x^3+4*x^2-x+1)/(x^2-x+1)/(x+1)/(x-1)^2 ogf] A249924 13.8706 [1-f(x)+3*f(x)^2*x-f(x)^3*x^2 ogf] A249924 22.7323 [x*(x^2-3*x+1) revogf] A249924 4.37627 [{(-27*n^2-108*n-105)*a(n+1)+(-54*n^2-297*n-405)*a(n+2)+(5*n^2+35*n+60)*a(n+3),a(0)=1,a(1)=3,a(2)=17} ogf] A249925 14.7995 [-5*f(x)^2*x^2-2*f(x)*x+f(x)-1 ogf] A249925 21.8293 [-x/(-5*x^2-2*x-1) revogf] A249925 5.70700 [{(-16*n-32)*a(n+1)+(-4*n-14)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A249946 10.1089 [-(x^3+4*x^2-2*x-1)/(-x^5+3*x^4-9*x^3+13*x^2-7*x+1) lgdogf] A249946 7.08421 [f(x)^2*x^4-2*f(x)^2*x^3+7*f(x)^2*x^2-x^4-6*f(x)^2*x+4*x^3+f(x)^2-6*x^2+4*x-1 ogf] A249961 5.54685 [-15*(x^2+10*x+1)*(x+1)^2/(x-1)^7 ogf] A249961 8.71648 [-(3*x^3+49*x^2+97*x+19)/(x^4+10*x^3-10*x-1) lgdogf] A249962 4.41618 [5*(x+1)*(11*x^4+154*x^3+262*x^2+74*x+3)/(x-1)^8 ogf] A249963 3.82700 [-(175*x^6+3594*x^5+13281*x^4+15932*x^3+6561*x^2+762*x+15)/(x-1)^9 ogf] A249983 7.32501 [-(3*x^4+26*x^3+135*x^2+120*x+44)/(x^5+6*x^4+23*x^3+4*x^2-24*x-10) lgdogf] A249983 8.01173 [2*(x^3+6*x^2+24*x+10)/(x+1)^2/(x-1)^4 ogf] A249984 7.28006 [-(x^4+24*x^3-27*x^2+90*x+192)/(x^5+9*x^4-29*x^3+51*x^2-32) lgdogf] A249984 7.35360 [-2*(x^4+10*x^3-19*x^2+32*x+32)/(x-1)^5 ogf] A249985 3.44284 [-2*(x^9-2*x^8-4*x^7-58*x^6-579*x^5-1402*x^4-2559*x^3-1618*x^2-667*x-68)/(x+1)^4/(x-1)^6 ogf] A249986 4.73807 [2*(84*x^5-134*x^4-309*x^3-1444*x^2-1938*x-233)/(x-1)^7 ogf] A249992 13.2950 [-(-18*x^2-14*x)/(-6*x^3-7*x^2+1) lgdogf] A249992 23.3670 [-1/(3*x-1)/(2*x+1)/(x+1) ogf] A249992 8.29153 [{-a(n+3)+7*a(n+1)+6*a(n),a(0)=1,a(1)=0,a(2)=7} ogf] A249992 8.66417 [-(235*f(x)+108)*(6*f(x)*x^3+7*f(x)*x^2-f(x)+1) ogf] A249993 11.2331 [-(24*x^2+20*x+1)/(8*x^3+10*x^2+x-1) lgdogf] A249993 19.8058 [-1/(4*x-1)/(2*x+1)/(x+1) ogf] A249993 6.60194 [{-a(n+3)+a(n+2)+10*a(n+1)+8*a(n),a(0)=1,a(1)=1,a(2)=11} ogf] A249993 7.16781 [(1617*f(x)+568)*(8*f(x)*x^3+10*f(x)*x^2+f(x)*x-f(x)+1) ogf] A249994 11.4992 [-(-72*x^2+20*x+3)/(-24*x^3+10*x^2+3*x-1) lgdogf] A249994 18.1847 [1/(4*x-1)/(2*x-1)/(3*x+1) ogf] A249994 6.79951 [{a(n+3)-3*a(n+2)-10*a(n+1)+24*a(n),a(0)=1,a(1)=3,a(2)=19} ogf] A249994 7.30788 [(8993*f(x)+7992)*(24*f(x)*x^3-10*f(x)*x^2-3*f(x)*x+f(x)-1) ogf] A249995 12.2426 [-(-72*x^2+4*x+5)/(-24*x^3+2*x^2+5*x-1) lgdogf] A249995 19.2383 [1/(4*x-1)/(3*x-1)/(2*x+1) ogf] A249995 7.08780 [{-a(n+3)+5*a(n+2)+2*a(n+1)-24*a(n),a(0)=1,a(1)=5,a(2)=27} ogf] A249995 7.76931 [(245*f(x)-648)*(24*f(x)*x^3-2*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A249996 11.8747 [-(72*x^2+28*x-1)/(24*x^3+14*x^2-x-1) lgdogf] A249996 20.7046 [-1/(2*x+1)/(3*x+1)/(4*x-1) ogf] A249996 7.02157 [{a(n+3)+a(n+2)-14*a(n+1)-24*a(n),a(0)=1,a(1)=-1,a(2)=15} ogf] A249996 7.14584 [-(14347*f(x)+11448)*(24*f(x)*x^3+14*f(x)*x^2-f(x)*x-f(x)+1) ogf] A249997 11.2596 [-(-36*x^2+22*x+2)/(-12*x^3+11*x^2+2*x-1) lgdogf] A249997 19.6322 [1/(x-1)/(3*x+1)/(4*x-1) ogf] A249997 6.65786 [{a(n+3)-2*a(n+2)-11*a(n+1)+12*a(n),a(0)=1,a(1)=2,a(2)=15} ogf] A249997 6.96048 [(248651*f(x)+59184)*(12*f(x)*x^3-11*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A249998 13.5679 [-(-36*x^2-26*x)/(-12*x^3-13*x^2+1) lgdogf] A249998 23.2592 [-1/(4*x-1)/(3*x+1)/(x+1) ogf] A249998 8.47992 [{-a(n+3)+13*a(n+1)+12*a(n),a(0)=1,a(1)=0,a(2)=13} ogf] A249998 8.84861 [-(1765*f(x)+432)*(12*f(x)*x^3+13*f(x)*x^2-f(x)+1) ogf] A249999 12.2844 [-(24*x^2-27*x+7)/(6*x^3-11*x^2+6*x-1) lgdogf] A249999 16.1383 [1/(2*x-1)/(3*x-1)/(x-1)^2 ogf] A249999 4.05445 [{(-n-4)*a(n+4)+(25+6*n)*a(n+3)+(-49-11*n)*a(n+2)+(30+6*n)*a(n+1),a(0)=1,a(1)=7,a(2)=32,a(3)=122} ogf] A249999 6.28286 [(5465249*f(x)+2106432)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x+f(x)-1) ogf] A250015 10.1692 [-(3*x^2+24*x+15)/(x^3+3*x^2-3*x-1) lgdogf] A250015 5.54685 [-20*(x^2+4*x+1)^2/(x-1)^7 ogf] A250016 4.39411 [20*(x^2+4*x+1)*(4*x^3+23*x^2+14*x+1)/(x-1)^8 ogf] A250017 3.82700 [-4*(68*x^6+903*x^5+3441*x^4+3974*x^3+1506*x^2+183*x+5)/(x-1)^9 ogf] A250024 16.0059 [-(21*x+59)/(21*x^2-2*x-19) lgdogf] A250024 17.7087 [(21*x+19)/(x-1)^2 ogf] A250024 9.14624 [(80*f(x)+1961)*(f(x)*x^2-2*f(x)*x+f(x)-21*x-19) ogf] A250024 9.90843 [{-a(n+2)+2*a(n+1)-a(n),a(0)=19,a(1)=59} ogf] A250060 4.41618 [21*(x+1)*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^8 ogf] A250061 3.86380 [-3*(27*x^6+890*x^5+3977*x^4+5492*x^3+2677*x^2+370*x+7)/(x-1)^9 ogf] A250082 5.98087 [-(x^5-6*x^4+x^3-157*x^2-150*x-49)/(x-1)^6 ogf] A250083 5.07880 [-(x^6-7*x^5-5*x^4-106*x^3+473*x^2+401*x+83)/(x-1)^7 ogf] A250084 3.96373 [-(x^7-8*x^6+18*x^5+280*x^4+593*x^3-1680*x^2-1076*x-144)/(x-1)^8 ogf] A250085 3.50090 [-(x^8-9*x^7+52*x^6+56*x^5-2861*x^4-2239*x^3+6252*x^2+2816*x+252)/(x-1)^9 ogf] A250101 12.9744 [-2*x*(43*x+9)/(6*x-1)/(25*x^2+6*x+1) ogf] A250101 7.03288 [(3287912*f(x)-62244613)*(150*f(x)*x^3+11*f(x)*x^2+86*x^2-f(x)+18*x) ogf] A250101 7.67876 [-(-12900*x^3-4523*x^2-198*x-43)/(-6450*x^4-1823*x^3-99*x^2+43*x+9) lgdogf] A250101 7.67876 [{-a(n+3)+11*a(n+1)+150*a(n),a(0)=0,a(1)=18,a(2)=86} ogf] A250102 13.1921 [-16*x*(5*x+1)/(5*x-1)/(25*x^2+6*x+1) ogf] A250102 6.99757 [{-a(n+3)-a(n+2)+5*a(n+1)+125*a(n),a(0)=0,a(1)=16,a(2)=64} ogf] A250102 7.24972 [(f(x)+4)*(125*f(x)*x^3+5*f(x)*x^2-f(x)*x+80*x^2-f(x)+16*x) ogf] A250102 9.81366 [-(-1250*x^3-400*x^2-10*x-4)/(-625*x^4-150*x^3+6*x+1) lgdogf] A250103 12.0627 [-(-6*x^3-11*x^2-4*x)/(-3*x^4-5*x^3-x^2+2*x+1) lgdogf] A250103 17.5250 [-(x+1)/(3*x^3+2*x^2-x-1) ogf] A250103 8.36779 [{-a(n+3)-a(n+2)+2*a(n+1)+3*a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A250103 8.76251 [(71*f(x)-135)*(3*f(x)*x^3+2*f(x)*x^2-f(x)*x-f(x)+x+1) ogf] A250108 7.35779 [-2*x^2*(x^3+2*x^2-x+2)/(x+1)^2/(x^2+1)/(x-1)^3 ogf] A250109 4.36841 [-4*(x^6+2*x^4+2*x^3+3*x^2-2*x+2)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A250111 8.12026 [(x^6+x^5+x^3-2*x^2+1)/(x^2+x-1)/(x^4+x^2-1) ogf] A250120 7.52959 [(x^2+x+1)*(x^4+3*x^3+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A250121 6.34375 [-(x^2+x+1)*(x^4+3*x^3+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A250122 5.64798 [-(2*x^8-4*x^7+3*x^6-5*x^5+x^4-3*x^3-x^2-x-1)/(x-1)^2/(x^2+1)^2 ogf] A250128 3.59308 [{a(n+3)-2*a(n+2)-3*a(n+1)-3*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A250128 4.69215 [3*f(x)*x^3+3*f(x)*x^2+2*f(x)*x+x^2-f(x)+x ogf] A250128 6.99705 [-x*(x+1)/(3*x^3+3*x^2+2*x-1) ogf] A250141 7.19101 [-(-x^4+6*x^3-12*x^2-6*x-67)/(-x^5+6*x^4-14*x^3+12*x^2-17*x+14) lgdogf] A250141 7.64045 [-(x^4-5*x^3+9*x^2-3*x+14)/(x-1)^5 ogf] A250142 6.09871 [-(x^5-6*x^4+15*x^3-20*x^2-18*x-24)/(x-1)^6 ogf] A250143 4.80268 [-(x^6-7*x^5+21*x^4-35*x^3+83*x^2+104*x+41)/(x-1)^7 ogf] A250144 4.38938 [-(x^7-8*x^6+28*x^5-48*x^4+51*x^3-400*x^2-356*x-68)/(x-1)^8 ogf] A250145 3.68156 [-(x^8-9*x^7+36*x^6-80*x^5+68*x^4+340*x^3+1866*x^2+1027*x+111)/(x-1)^9 ogf] A250146 5.25635 [-(x^9-10*x^8+45*x^7-120*x^6+207*x^5-574*x^4-4831*x^3-8032*x^2-2730*x-180)/(x-1)^10 ogf] A250155 4.59560 [-(x^6-7*x^5+41*x^4+432*x^3+1243*x^2+703*x+107)/(x-1)^7 ogf] A250156 4.11533 [-(x^7-8*x^6+68*x^5+339*x^4-1707*x^3-4514*x^2-1906*x-193)/(x-1)^8 ogf] A250157 3.32581 [-(x^8-9*x^7+51*x^6-1117*x^5-4393*x^4+9231*x^3+17091*x^2+5191*x+354)/(x-1)^9 ogf] A250162 3.18115 [{(-24*n-64)*a(n+1)+(42*n+88)*a(n+2)+(-21*n-38)*a(n+3)+(3*n+5)*a(n+4),a(0)=4,a(1)=20,a(2)=96,a(3)=436} ogf] A250162 4.58265 [(260487*f(x)+255568)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-20*x^2+f(x)+12*x-4) ogf] A250162 8.97695 [4*(5*x^2-3*x+1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A250163 3.70083 [(44*x^7+52*x^6-311*x^5+599*x^4-502*x^3+208*x^2-47*x+5)/(5*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^4 ogf] A250168 7.06544 [-(x^5-2*x^4-14*x^3-14*x^2-21*x-8)/(x+1)^2/(x-1)^4 ogf] A250212 4.52821 [(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^10 ogf] A250230 11.7047 [-(x^3-2*x^2+11*x+8)/(x+1)/(x-1)^3 ogf] A250230 6.1144 [-(52974*f(x)-1059473)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-2*x^2-f(x)+11*x+8) ogf] A250230 8.03264 [-(x^4-2*x^3+32*x^2+50*x+27)/(x^5-2*x^4+10*x^3+10*x^2-11*x-8) lgdogf] A250256 10.5520 [(10*x^3-8*x^2+5*x+1)/(x-1)/(10*x^2-1) ogf] A250256 5.62772 [{-a(n+4)+a(n+3)+10*a(n+2)-10*a(n+1),a(0)=1,a(1)=6,a(2)=8,a(3)=68} ogf] A250256 5.71235 [-(5293+21625*f(x))*(10*f(x)*x^3-10*f(x)*x^2-10*x^3-f(x)*x+8*x^2+f(x)-5*x-1) ogf] A250257 5.14564 [{a(n+5)-a(n+4)-10*a(n+3)+10*a(n+2),a(0)=1,a(1)=0,a(2)=8,a(3)=48,a(4)=88} ogf] A250257 5.52124 [(1085*f(x)+7963)*(10*f(x)*x^3+40*x^4-10*f(x)*x^2-50*x^3-f(x)*x+2*x^2+f(x)+x-1) ogf] A250257 9.33838 [-(40*x^4-50*x^3+2*x^2+x-1)/(x-1)/(10*x^2-1) ogf] A250258 5.14564 [{a(n+5)-a(n+4)-10*a(n+3)+10*a(n+2),a(0)=1,a(1)=0,a(2)=8,a(3)=68,a(4)=88} ogf] A250258 5.32683 [(974221*f(x)+9045263)*(10*f(x)*x^3+60*x^4-10*f(x)*x^2-70*x^3-f(x)*x+2*x^2+f(x)+x-1) ogf] A250258 9.33838 [-(60*x^4-70*x^3+2*x^2+x-1)/(x-1)/(10*x^2-1) ogf] A250271 6.27925 [-(24*x^5-60*x^4+24*x^3+21*x^2-16*x+3)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A250303 8.43902 [x^2*(x^6-2*x^5+x^4-2*x^3+2*x^2+x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A250304 5.36785 [x^3*(x^12-3*x^11+3*x^10-x^9-3*x^8+6*x^7-4*x^5+3*x^4-3*x^3-3*x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A250307 7.87752 [-16*f(x)^2*x^2+11*f(x)^2*x-2*f(x)^2-14*f(x)*x+5*f(x)-3 ogf] A250313 6.83496 [-2*(2*x^5-6*x^4-6*x^3+8*x^2-x-1)/(2*x-1)/(x+1)^2/(x-1)^3 ogf] A250321 5.64881 [-(x^7-2*x^6-2*x^5-8*x^4-6*x^3-18*x^2-9*x-8)/(x^2+x+1)^2/(x-1)^4 ogf] A250337 5.98087 [-(x^5-6*x^4-4*x^3-142*x^2-165*x-44)/(x-1)^6 ogf] A250338 5.05485 [-(x^6-7*x^5-20*x^4-96*x^3+343*x^2+431*x+68)/(x-1)^7 ogf] A250339 3.96897 [-(x^7-8*x^6+9*x^5+308*x^4+635*x^3-1152*x^2-1125*x-108)/(x-1)^8 ogf] A250340 3.70401 [-(x^8-9*x^7+65*x^6+227*x^5-2357*x^4-2703*x^3+4335*x^2+2861*x+172)/(x-1)^9 ogf] A250341 5.11580 [-(x^9-10*x^8+60*x^7-1086*x^6-3294*x^5+14650*x^4+9340*x^3-15794*x^2-7051*x-272)/(x-1)^10 ogf] A250346 8.35710 [-(x^5-5*x^3-2*x^2+4)/(x^6-5*x^4-2*x^3+4*x-1) ogf] A250352 10.4173 [-2*(x^3-3*x^2+3*x-4)/(x-1)^4 ogf] A250352 5.27718 [{(n+5)*a(n+1)+(-2*n-8)*a(n+2)+(n+3)*a(n+3),a(0)=8,a(1)=26,a(2)=62} ogf] A250352 5.64881 [(181*f(x)+1720)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-6*x^2+f(x)+6*x-8) ogf] A250352 9.90285 [-(-x^3+3*x^2-3*x+13)/(-x^4+4*x^3-6*x^2+7*x-4) lgdogf] A250353 6.85982 [-(x^5-4*x^4-4*x^3+20*x^2-5*x+16)/(x-1)^5 ogf] A250354 5.22685 [-2*(3*x^7-16*x^6+33*x^5-18*x^4+2*x^3-36*x^2-12*x-16)/(x-1)^6 ogf] A250355 3.98212 [-(58*x^9-336*x^8+783*x^7-847*x^6+168*x^5+204*x^4+113*x^3+339*x^2+174*x+64)/(x-1)^7 ogf] A250357 7.15278 [-(x^7-11*x^4-2*x^3+5)/(x^8-11*x^5-2*x^4+5*x-1) ogf] A250362 6.85982 [-(x^5-2*x^4-2*x^3+10*x^2+x+16)/(x-1)^5 ogf] A250363 5.29147 [-(5*x^7-22*x^6+29*x^5-8*x^4-3*x^3-38*x^2-51*x-32)/(x-1)^6 ogf] A250364 4.07262 [-(42*x^9-232*x^8+482*x^7-405*x^6+57*x^5+44*x^4+98*x^3+289*x^2+281*x+64)/(x-1)^7 ogf] A250374 4.92162 [-(x^6-7*x^5+55*x^4+404*x^3+1243*x^2+731*x+93)/(x-1)^7 ogf] A250375 4.07614 [-(x^7-8*x^6+114*x^5+417*x^4-939*x^3-4026*x^2-1888*x-151)/(x-1)^8 ogf] A250376 3.32581 [-(x^8-9*x^7+80*x^6-1252*x^5-5005*x^4+3769*x^3+14544*x^2+4900*x+252)/(x-1)^9 ogf] A250381 4.08459 [-2*(12*x^9+7*x^8+4*x^7+15*x^6-71*x^5-50*x^4+7*x^3-8*x^2+18*x+21)/(x^10+x^7-7*x^6-x^5+3*x^4-x^3+2*x^2+x-1) ogf] A250388 3.89228 [{(-7*n^2-61*n-132)*a(n+1)+(-4*n^2-99*n-377)*a(n+2)+(11*n^2+70*n+111)*a(n+3),a(0)=6,a(1)=78,a(2)=432} ogf] A250388 7.35209 [6*(x+1)*(3*x^2+6*x+1)/(x-1)^6 ogf] A250388 8.76936 [-(9*x^3+45*x^2+53*x+13)/(3*x^4+6*x^3-2*x^2-6*x-1) lgdogf] A250389 5.56592 [-2*(25*x^4+124*x^3+156*x^2+52*x+3)/(x-1)^7 ogf] A250390 4.60039 [2*(70*x^5+547*x^4+1107*x^3+680*x^2+113*x+3)/(x-1)^8 ogf] A250391 3.79439 [-2*(196*x^6+2335*x^5+7322*x^4+7539*x^3+2535*x^2+230*x+3)/(x-1)^9 ogf] A250413 3.31843 [-(36*x^9+36*x^8-257*x^7-40*x^6+397*x^5-84*x^4-148*x^3+49*x^2+13*x-5)/(x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(x^3-x^2-2*x+1)/(x^3+3*x^2-1) ogf] A250420 8.37941 [-(x^4-4*x^3-5*x^2-8*x-10)/(x+1)/(x-1)^4 ogf] A250421 4.14041 [-(x^9+37*x^7+44*x^6+48*x^5-36*x^4-77*x^3-96*x^2-45*x-20)/(x^2+x+1)^2/(x-1)^6 ogf] A250426 3.49875 [-(6*x^11-11*x^10-26*x^9+56*x^8+40*x^7-115*x^6-20*x^5+124*x^4-36*x^2+36*x+36)/(x+1)^5/(x-1)^7 ogf] A250447 6.14874 [-(108*x^4+66*x^3-170*x^2-47*x+44)/(x-1)/(6*x^2+3*x-1)/(2*x^2+2*x-1) ogf] A250461 11.8026 [-(8*x^2+2*x-11)/(x-1)/(2*x^2+2*x-1) ogf] A250461 6.57049 [(41*f(x)-370)*(2*f(x)*x^3-3*f(x)*x+8*x^2+f(x)+2*x-11) ogf] A250461 6.57049 [{a(n+3)-3*a(n+2)+2*a(n),a(0)=11,a(1)=31,a(2)=85} ogf] A250462 6.63029 [-(32*x^4+2*x^3-72*x^2+10*x+31)/(4*x^3+8*x^2+2*x-1)/(x-1)^2 ogf] A250512 3.95125 [-(2304*x^6+2064*x^5-3492*x^4-2162*x^3+1094*x^2+311*x-120)/(x-1)/(6*x-1)/(2*x+1)/(6*x^2+3*x-1)/(2*x^2+2*x-1) ogf] A250522 3.08929 [-(1944*x^8-13260*x^7+39534*x^6-66849*x^5+72501*x^4-52780*x^3+25244*x^2-7109*x+867)/(3*x-1)/(2*x-1)^3/(x-1)^5 ogf] A250525 3.39359 [-(52488*x^8-358644*x^7+1091250*x^6-1635631*x^5+1762541*x^4-1507547*x^3+869263*x^2-276084*x+35064)/(3*x-1)/(2*x-1)^3/(x-1)^5 ogf] A250526 3.43247 [-(157464*x^8-1075980*x^7+3312070*x^6-4657625*x^5+4981875*x^4-4555432*x^3+2762712*x^2-890301*x+112373)/(3*x-1)/(2*x-1)^3/(x-1)^5 ogf] A250554 11.7656 [-2*(2*x^2-2*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A250554 6.08223 [-(69*f(x)+292)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+4*x^2+f(x)-4*x-2) ogf] A250554 6.35136 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=8,a(2)=14} ogf] A250554 8.54410 [-(-4*x^4+8*x^3+2*x-4)/(-4*x^5+6*x^4+4*x^3-7*x^2+1) lgdogf] A250576 4.65167 [-(5789*f(x)+13710)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+4*x^3+3*f(x)*x-7*x^2-f(x)-6*x+10) ogf] A250576 8.88587 [-(4*x^3-7*x^2-6*x+10)/(x-1)/(x^3-x^2-2*x+1) ogf] A250577 7.02889 [-(24*x^4-61*x^3+26*x^2+36*x-24)/(3*x^2+x-1)/(x-1)^3 ogf] A250578 4.35824 [-(17*x^7-68*x^6+10*x^5+256*x^4-335*x^3+44*x^2+133*x-55)/(x^5-x^4-5*x^3+3*x^2+2*x-1)/(x-1)^3 ogf] A250579 3.45732 [-(8*x^9+106*x^8-642*x^7+1032*x^6+23*x^5-1560*x^4+1273*x^3+54*x^2-421*x+125)/(4*x^5-3*x^4-7*x^3+4*x^2+2*x-1)/(x-1)^4 ogf] A250585 3.65470 [-(9*x^8-26*x^7-30*x^6+132*x^5-12*x^4-190*x^3+83*x^2+73*x-40)/(x-1)/(x^3-x^2-2*x+1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A250605 4.37081 [-(18143*f(x)+604608)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+16*x^3-5*f(x)*x-54*x^2+f(x)+66*x-26) ogf] A250605 8.30993 [-2*(8*x^3-27*x^2+33*x-13)/(x-1)^3/(2*x-1) ogf] A250606 4.04859 [-(29245175*f(x)+742708556)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+32*x^3-5*f(x)*x-110*x^2+f(x)+145*x-57) ogf] A250606 7.90207 [-(32*x^3-110*x^2+145*x-57)/(x-1)^3/(2*x-1) ogf] A250607 4.09483 [-(239715712*f(x)+7876721597)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+64*x^3-5*f(x)*x-222*x^2+f(x)+310*x-120) ogf] A250607 8.04342 [-2*(32*x^3-111*x^2+155*x-60)/(x-1)^3/(2*x-1) ogf] A250608 3.90972 [-(66309740*f(x)+4138592861)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+128*x^3-5*f(x)*x-446*x^2+f(x)+649*x-247) ogf] A250608 7.58946 [-(128*x^3-446*x^2+649*x-247)/(x-1)^3/(2*x-1) ogf] A250609 3.80111 [-(183128153373*f(x)+31967418542320)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+256*x^3-5*f(x)*x-894*x^2+f(x)+1338*x-502) ogf] A250609 7.69063 [-2*(128*x^3-447*x^2+669*x-251)/(x-1)^3/(2*x-1) ogf] A250610 3.64555 [-(1770217569246519*f(x)+1187002131906458380)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+512*x^3-5*f(x)*x-1790*x^2+f(x)+2729*x-1013) ogf] A250610 7.66394 [-(512*x^3-1790*x^2+2729*x-1013)/(x-1)^3/(2*x-1) ogf] A250625 3.85116 [-(9*x^8-8*x^7-55*x^6+57*x^5+97*x^4-131*x^3-26*x^2+91*x-36)/(x^3-x^2-2*x+1)/(x-1)^2/(x^2+x-1)^2 ogf] A250633 4.11456 [-(9*x^7-17*x^6-46*x^5+83*x^4+70*x^3-113*x^2-26*x+36)/(x^3-x^2-2*x+1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A250640 3.26790 [-(36*x^9-192*x^8+239*x^7+201*x^6-541*x^5+242*x^4+80*x^3-76*x^2+11*x+1)/(x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(x^3-3*x^2+1)/(x^3-x^2-2*x+1) ogf] A250647 6.74681 [-(x^6-x^5+6*x^3-3*x^2-17*x-6)/(x+1)^3/(x-1)^4 ogf] A250652 6.48362 [-(16*x^4-48*x^3+62*x^2-38*x+9)/(x-1)^2/(2*x-1)^3 ogf] A250653 13.7444 [-(44*x-49)/(2*x-1)/(x-1) ogf] A250653 7.02157 [(113*f(x)+5072)*(2*f(x)*x^2-3*f(x)*x+f(x)+44*x-49) ogf] A250653 7.59982 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=49,a(1)=103} ogf] A250653 8.61313 [-(-88*x^2+196*x-103)/(-88*x^3+230*x^2-191*x+49) lgdogf] A250654 13.9547 [-2*(29*x-32)/(2*x-1)/(x-1) ogf] A250654 7.20738 [(73*f(x)+4306)*(2*f(x)*x^2-3*f(x)*x+f(x)+58*x-64) ogf] A250654 7.71614 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=64,a(1)=134} ogf] A250654 8.86314 [-(-58*x^2+128*x-67)/(-58*x^3+151*x^2-125*x+32) lgdogf] A250655 14.0950 [-(74*x-81)/(2*x-1)/(x-1) ogf] A250655 7.12326 [(183*f(x)+13738)*(2*f(x)*x^2-3*f(x)*x+f(x)+74*x-81) ogf] A250655 7.79369 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=81,a(1)=169} ogf] A250655 8.60343 [-(-148*x^2+324*x-169)/(-148*x^3+384*x^2-317*x+81) lgdogf] A250657 11.4200 [-(-16*x^2+62*x-70)/(-16*x^3+63*x^2-86*x+39) lgdogf] A250657 12.6690 [-(16*x^2-47*x+39)/(x-1)^3 ogf] A250657 6.48655 [(220352*f(x)-2634567)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)-47*x+39) ogf] A250657 6.98982 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=39,a(1)=70,a(2)=109} ogf] A250658 10.6648 [-(-32*x^2+126*x-142)/(-32*x^3+127*x^2-174*x+79) lgdogf] A250658 12.4978 [-(32*x^2-95*x+79)/(x-1)^3 ogf] A250658 6.24892 [(3629824*f(x)-106464271)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+32*x^2-f(x)-95*x+79) ogf] A250658 6.83642 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=79,a(1)=142,a(2)=221} ogf] A250659 10.4842 [-(-64*x^2+254*x-286)/(-64*x^3+255*x^2-350*x+159) lgdogf] A250659 12.0727 [-(64*x^2-191*x+159)/(x-1)^3 ogf] A250659 6.03635 [(58919936*f(x)-3790458399)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+64*x^2-f(x)-191*x+159) ogf] A250659 6.75253 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=159,a(1)=286,a(2)=445} ogf] A250660 10.2862 [-(-128*x^2+510*x-574)/(-128*x^3+511*x^2-702*x+319) lgdogf] A250660 11.9749 [-(128*x^2-383*x+319)/(x-1)^3 ogf] A250660 5.89941 [(949497856*f(x)-127673906239)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+128*x^2-f(x)-383*x+319) ogf] A250660 6.79932 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=319,a(1)=574,a(2)=893} ogf] A250661 11.5334 [-(256*x^2-767*x+639)/(x-1)^3 ogf] A250661 5.55925 [(15246344192*f(x)-4189602498687)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+256*x^2-f(x)-767*x+639) ogf] A250661 6.43948 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=639,a(1)=1150,a(2)=1789} ogf] A250661 9.42362 [-(-256*x^2+1022*x-1150)/(-256*x^3+1023*x^2-1406*x+639) lgdogf] A250677 3.72835 [-(2304*x^6+3792*x^5-1516*x^4-2514*x^3+579*x^2+371*x-104)/(4*x-1)/(9*x^2+3*x-1)/(4*x^2+2*x-1)/(x^2+x-1) ogf] A250692 3.61360 [-(2304*x^6-8880*x^5+13756*x^4-11052*x^3+4877*x^2-1121*x+104)/(4*x-1)/(x-1)^2/(3*x-1)^2/(2*x-1)^2 ogf] A250723 7.29256 [-(8*x^5-31*x^4+34*x^3+11*x^2-42*x+22)/(x+1)/(x-1)^5 ogf] A250724 7.03307 [-(17*x^5-70*x^4+83*x^3+18*x^2-90*x+50)/(x+1)/(x-1)^5 ogf] A250725 4.95738 [-(x^7+25*x^6-160*x^5+316*x^4-148*x^3-237*x^2+313*x-114)/(x+1)/(x-1)^6 ogf] A250726 4.37248 [-(x^9-12*x^8+93*x^7-440*x^6+1060*x^5-1079*x^4-110*x^3+1180*x^2-946*x+257)/(x+1)/(x-1)^7 ogf] A250730 4.80024 [(2588*f(x)+6205)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+4*x^3+3*f(x)*x-7*x^2-f(x)-5*x+9) ogf] A250730 8.91471 [-(4*x^3-7*x^2-5*x+9)/(x-1)/(x^3-x^2-2*x+1) ogf] A250731 4.94376 [{-a(n+4)+2*a(n+3)+2*a(n+2)-3*a(n+1),a(0)=18,a(1)=46,a(2)=110,a(3)=257} ogf] A250731 5.20793 [(64407*f(x)-380509)*(3*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x+18*x^2+f(x)-10*x-18) ogf] A250731 9.47554 [-(x^3+18*x^2-10*x-18)/(x-1)/(3*x^2+x-1) ogf] A250732 4.63476 [(2*x^7-14*x^6+23*x^5+41*x^4-131*x^3+66*x^2+47*x-33)/(x^5-x^4-5*x^3+3*x^2+2*x-1)/(x-1)^2 ogf] A250733 4.36502 [(8*x^8+22*x^7-149*x^6+183*x^5+81*x^4-323*x^3+153*x^2+88*x-58)/(4*x^5-3*x^4-7*x^3+4*x^2+2*x-1)/(x-1)^2 ogf] A250734 3.31742 [(3*x^11+3*x^10-17*x^9-119*x^8+48*x^7+648*x^6-804*x^5-168*x^4+783*x^3-320*x^2-166*x+99)/(x^6-9*x^4-3*x^3+6*x^2+x-1)/(x-1)^3 ogf] A250737 10.3510 [-(-32*x^2+36*x-11)/(-32*x^3+66*x^2-43*x+9) lgdogf] A250737 15.4164 [-2*(16*x-9)/(2*x-1)/(x-1) ogf] A250737 8.14125 [(3*f(x)-296)*(2*f(x)*x^2-3*f(x)*x+f(x)+32*x-18) ogf] A250737 8.62586 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=18,a(1)=22} ogf] A250738 10.0635 [-(-64*x^2+68*x-19)/(-64*x^3+130*x^2-83*x+17) lgdogf] A250738 15.4164 [-2*(32*x-17)/(2*x-1)/(x-1) ogf] A250738 7.96232 [(11*f(x)-1096)*(2*f(x)*x^2-3*f(x)*x+f(x)+64*x-34) ogf] A250738 8.62586 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=34,a(1)=38} ogf] A250739 15.1668 [-2*(64*x-33)/(2*x-1)/(x-1) ogf] A250739 7.9131 [(27*f(x)-4232)*(2*f(x)*x^2-3*f(x)*x+f(x)+128*x-66) ogf] A250739 8.66674 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=66,a(1)=70} ogf] A250739 9.57903 [-(-128*x^2+132*x-35)/(-128*x^3+258*x^2-163*x+33) lgdogf] A250740 15.1376 [-2*(128*x-65)/(2*x-1)/(x-1) ogf] A250740 7.89086 [(59*f(x)-16648)*(2*f(x)*x^2-3*f(x)*x+f(x)+256*x-130) ogf] A250740 8.62491 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=130,a(1)=134} ogf] A250740 9.75976 [-(-256*x^2+260*x-67)/(-256*x^3+514*x^2-323*x+65) lgdogf] A250741 15.1376 [-2*(256*x-129)/(2*x-1)/(x-1) ogf] A250741 7.8078 [(123*f(x)-66056)*(2*f(x)*x^2-3*f(x)*x+f(x)+512*x-258) ogf] A250741 8.62491 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=258,a(1)=262} ogf] A250741 9.38914 [-(-512*x^2+516*x-131)/(-512*x^3+1026*x^2-643*x+129) lgdogf] A250748 3.27467 [-(648*x^8-2916*x^7+6642*x^6-9099*x^5+7887*x^4-4434*x^3+1599*x^2-339*x+32)/(2*x-1)^3/(3*x-1)^3/(x-1)^3 ogf] A250749 4.85882 [(4536695*f(x)+122642334)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+126*x^2-f(x)-195*x+72) ogf] A250749 5.39410 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=72,a(1)=237,a(2)=756} ogf] A250749 9.50006 [-3*(42*x^2-65*x+24)/(2*x-1)/(3*x-1)/(x-1) ogf] A250750 5.06503 [(906599*f(x)+43385958)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+234*x^2-f(x)-351*x+129) ogf] A250750 5.48711 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=129,a(1)=423,a(2)=1353} ogf] A250750 9.68313 [-3*(78*x^2-117*x+43)/(2*x-1)/(3*x-1)/(x-1) ogf] A250751 4.6135 [(19891799*f(x)+1431405198)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+378*x^2-f(x)-555*x+203) ogf] A250751 5.15173 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=203,a(1)=663,a(2)=2123} ogf] A250751 9.09129 [-(42*x-29)*(9*x-7)/(2*x-1)/(3*x-1)/(x-1) ogf] A250752 4.70681 [(8109599*f(x)+804008934)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+558*x^2-f(x)-807*x+294) ogf] A250752 5.17749 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=294,a(1)=957,a(2)=3066} ogf] A250752 9.13675 [-3*(186*x^2-269*x+98)/(2*x-1)/(3*x-1)/(x-1) ogf] A250753 4.64784 [(134505599*f(x)+17390408814)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+774*x^2-f(x)-1107*x+402) ogf] A250753 5.26243 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=402,a(1)=1305,a(2)=4182} ogf] A250753 9.22832 [-3*(258*x^2-369*x+134)/(2*x-1)/(3*x-1)/(x-1) ogf] A250754 4.30204 [(513685895*f(x)+83389730454)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+1026*x^2-f(x)-1455*x+527) ogf] A250754 4.90645 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=527,a(1)=1707,a(2)=5471} ogf] A250754 8.48116 [-(1026*x^2-1455*x+527)/(2*x-1)/(3*x-1)/(x-1) ogf] A250756 11.4297 [-(-9*x^2+30*x-72)/(-9*x^3+33*x^2-56*x+32) lgdogf] A250756 12.5182 [-(9*x^2-24*x+32)/(x-1)^3 ogf] A250756 6.36007 [(234379*f(x)-2075153)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-24*x+32) ogf] A250756 6.79869 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32,a(1)=72,a(2)=129} ogf] A250757 11.3623 [-(-9*x^2+34*x-79)/(-9*x^3+35*x^2-61*x+35) lgdogf] A250757 12.0616 [-3*(9*x^2-26*x+35)/(x-1)^3 ogf] A250757 6.22224 [(117288*f(x)-4394089)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)-78*x+105) ogf] A250757 6.64408 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=105,a(1)=237,a(2)=423} ogf] A250758 11.4564 [-(81*x^2-240*x+332)/(x-1)^3 ogf] A250758 5.64271 [(298422059*f(x)-39286182553)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+81*x^2-f(x)-240*x+332) ogf] A250758 6.35397 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=332,a(1)=756,a(2)=1353} ogf] A250758 9.94899 [-(-81*x^2+318*x-756)/(-81*x^3+321*x^2-572*x+332) lgdogf] A250759 10.8495 [-3*(81*x^2-242*x+343)/(x-1)^3 ogf] A250759 5.30765 [(3681566980*f(x)-1580477616873)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+243*x^2-f(x)-726*x+1029) ogf] A250759 6.09722 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1029,a(1)=2361,a(2)=4239} ogf] A250759 9.70742 [-(-81*x^2+322*x-787)/(-81*x^3+323*x^2-585*x+343) lgdogf] A250760 10.4015 [-(729*x^2-2184*x+3152)/(x-1)^3 ogf] A250760 4.84935 [(24584385149099*f(x)-33247302436472353)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+729*x^2-f(x)-2184*x+3152) ogf] A250760 5.88282 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3152,a(1)=7272,a(2)=13089} ogf] A250760 8.64704 [-(-729*x^2+2910*x-7272)/(-729*x^3+2913*x^2-5336*x+3152) lgdogf] A250761 10.1500 [-3*(729*x^2-2186*x+3195)/(x-1)^3 ogf] A250761 4.73666 [(30283152275024*f(x)-126649006533640647)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2187*x^2-f(x)-6558*x+9585) ogf] A250761 5.77642 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9585,a(1)=22197,a(2)=40023} ogf] A250761 8.56024 [-(-729*x^2+2914*x-7399)/(-729*x^3+2915*x^2-5381*x+3195) lgdogf] A250762 4.47765 [(187587680747783251*f(x)-2399796465085195866497)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6561*x^2-f(x)-19680*x+29012) ogf] A250762 5.73138 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29012,a(1)=67356,a(2)=121593} ogf] A250762 7.96026 [-(-6561*x^2+26238*x-67356)/(-6561*x^3+26241*x^2-48692*x+29012) lgdogf] A250762 9.95032 [-(6561*x^2-19680*x+29012)/(x-1)^3 ogf] A250764 10.3611 [-(41*x^2-78*x+35)/(2*x-1)/(x-1)^2 ogf] A250764 5.43532 [(2813*f(x)+110138)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+41*x^2-f(x)-78*x+35) ogf] A250764 5.71645 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=35,a(1)=62,a(2)=114} ogf] A250764 7.05434 [-(82*x^3-230*x^2+206*x-62)/(82*x^4-279*x^3+345*x^2-183*x+35) lgdogf] A250765 10.4067 [-2*(40*x^2-79*x+34)/(2*x-1)/(x-1)^2 ogf] A250765 5.36855 [(175585*f(x)+9805272)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+80*x^2-f(x)-158*x+68) ogf] A250765 5.78151 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=68,a(1)=114,a(2)=196} ogf] A250765 7.19614 [-(-80*x^3+236*x^2-203*x+57)/(-80*x^4+278*x^3-345*x^2+181*x-34) lgdogf] A250766 5.03318 [(167364*f(x)+11502049)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+153*x^2-f(x)-318*x+133) ogf] A250766 5.50237 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=133,a(1)=214,a(2)=344} ogf] A250766 9.69075 [-(153*x^2-318*x+133)/(2*x-1)/(x-1)^2 ogf] A250767 4.99369 [-(207977*f(x)-1846932)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+292*x^2-f(x)-638*x+262) ogf] A250767 5.58617 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=262,a(1)=410,a(2)=622} ogf] A250767 9.83833 [-2*(146*x^2-319*x+131)/(2*x-1)/(x-1)^2 ogf] A250768 5.21202 [(24101*f(x)-12683760)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+561*x^2-f(x)-1278*x+519) ogf] A250768 5.65001 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=519,a(1)=798,a(2)=1158} ogf] A250768 9.88751 [-3*(187*x^2-426*x+173)/(2*x-1)/(x-1)^2 ogf] A250770 10.5754 [-2*(8*x^2-19*x+9)/(2*x-1)/(x-1)^2 ogf] A250770 5.59361 [-(73*f(x)-338)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+16*x^2-f(x)-38*x+18) ogf] A250770 5.88545 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=18,a(1)=34,a(2)=62} ogf] A250770 7.69122 [-(-16*x^3+60*x^2-57*x+17)/(-16*x^4+62*x^3-83*x^2+46*x-9) lgdogf] A250771 4.47524 [-(5939*f(x)-308968)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+32*x^3-5*f(x)*x-108*x^2+f(x)+114*x-36) ogf] A250771 8.35740 [-2*(2*x-3)*(8*x^2-15*x+6)/(x-1)^3/(2*x-1) ogf] A250772 4.45421 [-(154072*f(x)-1054147)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+64*x^3-5*f(x)*x-214*x^2+f(x)+230*x-72) ogf] A250772 8.47911 [-2*(32*x^3-107*x^2+115*x-36)/(x-1)^3/(2*x-1) ogf] A250773 4.05485 [-(285933527*f(x)+6461883992)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+128*x^3-5*f(x)*x-424*x^2+f(x)+462*x-144) ogf] A250773 7.91887 [-2*(64*x^3-212*x^2+231*x-72)/(x-1)^3/(2*x-1) ogf] A250774 4.09043 [-(313686308*f(x)+32043591513)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+256*x^3-5*f(x)*x-842*x^2+f(x)+926*x-288) ogf] A250774 8.03648 [-2*(128*x^3-421*x^2+463*x-144)/(x-1)^3/(2*x-1) ogf] A250775 4.14542 [-(36692973*f(x)+18845318360)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+512*x^3-5*f(x)*x-1676*x^2+f(x)+1854*x-576) ogf] A250775 8.00494 [-2*(256*x^3-838*x^2+927*x-288)/(x-1)^3/(2*x-1) ogf] A250777 14.0378 [-(17*x-21)/(2*x-1)/(x-1) ogf] A250777 7.33085 [(27*f(x)+491)*(2*f(x)*x^2-3*f(x)*x+f(x)+17*x-21) ogf] A250777 7.85448 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=21,a(1)=46} ogf] A250777 9.29262 [-(-34*x^2+84*x-46)/(-34*x^3+93*x^2-80*x+21) lgdogf] A250778 10.1965 [-2*(18*x^2-39*x+23)/(2*x-1)/(x-1)^2 ogf] A250778 5.34898 [(8193*f(x)+135916)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+36*x^2-f(x)-78*x+46) ogf] A250778 5.57757 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=46,a(1)=106,a(2)=230} ogf] A250778 6.94230 [-(36*x^3-120*x^2+141*x-53)/(36*x^4-132*x^3+181*x^2-108*x+23) lgdogf] A250779 6.68768 [-(73*x^4-304*x^3+492*x^2-356*x+99)/(2*x-1)/(x-1)^4 ogf] A250780 4.57895 [-(153*x^6-922*x^5+2401*x^4-3376*x^3+2693*x^2-1154*x+209)/(2*x-1)/(x-1)^6 ogf] A250781 3.34893 [-2*(160*x^8-1253*x^7+4469*x^6-9259*x^5+12093*x^4-10163*x^3+5364*x^2-1627*x+218)/(2*x-1)/(x-1)^8 ogf] A250784 4.53985 [(46005*f(x)+371912)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+16*x^3+4*f(x)*x-6*x^2-f(x)-26*x+18) ogf] A250784 8.45546 [-2*(8*x^3-3*x^2-13*x+9)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A250785 6.79347 [-2*(16*x^4-22*x^3-19*x^2+42*x-18)/(2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A250786 4.85095 [-2*(32*x^6-43*x^5-73*x^4+129*x^3+3*x^2-82*x+36)/(2*x-1)/(x+1)/(x^2+x-1)/(x-1)^3 ogf] A250787 4.29662 [-2*(64*x^7-148*x^6-70*x^5+420*x^4-259*x^3-171*x^2+234*x-72)/(2*x-1)/(x+1)/(x^2+x-1)/(x-1)^4 ogf] A250788 3.40381 [-2*(128*x^8-421*x^7+137*x^6+1026*x^5-1408*x^4+195*x^3+811*x^2-610*x+144)/(2*x-1)/(x+1)/(x^2+x-1)/(x-1)^5 ogf] A250791 3.54769 [{(-2*n-4)*a(n+1)-2*a(n+2)+(3*n+4)*a(n+3)+(-n-1)*a(n+4),a(0)=24,a(1)=66,a(2)=180,a(3)=490} ogf] A250791 4.39913 [-(743*f(x)-9484)*(2*f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+16*x^3+4*f(x)*x-12*x^2-f(x)-30*x+24) ogf] A250791 8.14654 [-2*(8*x^3-6*x^2-15*x+12)/(2*x^2+2*x-1)/(x-1)^2 ogf] A250792 7.16752 [-2*(48*x^4-79*x^3-25*x^2+81*x-27)/(3*x-1)/(2*x-1)/(x+1)/(x-1)^2 ogf] A250793 4.63656 [-2*(128*x^6+10*x^5-624*x^4+416*x^3+271*x^2-284*x+59)/(2*x-1)/(4*x^2+2*x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A250794 3.37932 [-2*(640*x^8+580*x^7-3484*x^6-609*x^5+4886*x^4-1552*x^3-1356*x^2+841*x-126)/(2*x-1)/(2*x^2+2*x-1)/(5*x^2+2*x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A250798 11.1881 [-2*(4*x^2+3*x-5)/(2*x-1)/(x^2+x-1) ogf] A250798 5.68576 [-(1067*f(x)-1976)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+8*x^2+f(x)+6*x-10) ogf] A250798 6.03186 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=10,a(1)=24,a(2)=54} ogf] A250799 4.87015 [(67*f(x)+824)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+16*x^3+4*f(x)*x-6*x^2-f(x)-30*x+24) ogf] A250799 8.70538 [-2*(8*x^3-3*x^2-15*x+12)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A250800 6.61493 [-2*(16*x^4-23*x^3-23*x^2+55*x-29)/(2*x-1)/(x^2+x-1)/(x-1)^2 ogf] A250801 4.26397 [-2*(32*x^7-15*x^6-125*x^5+82*x^4+148*x^3-125*x^2-35*x+70)/(2*x-1)/(x^2+x-1)/(x+1)^2/(x-1)^3 ogf] A250802 3.66011 [-2*(64*x^8-95*x^7-221*x^6+423*x^5+137*x^4-577*x^3+197*x^2+177*x-169)/(2*x-1)/(x^2+x-1)/(x+1)^2/(x-1)^4 ogf] A250806 4.54429 [(76236938*f(x)+1587881409)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+141*x^2-f(x)-221*x+100) ogf] A250806 5.07446 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=100,a(1)=379,a(2)=1315} ogf] A250806 8.95493 [-(141*x^2-221*x+100)/(2*x-1)/(3*x-1)/(x-1) ogf] A250807 4.82678 [(403118*f(x)+17215845)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+318*x^2-f(x)-477*x+225) ogf] A250807 5.22901 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=225,a(1)=873,a(2)=3081} ogf] A250807 9.22766 [-3*(106*x^2-159*x+75)/(2*x-1)/(3*x-1)/(x-1) ogf] A250808 4.54372 [(9520058*f(x)+761969517)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+636*x^2-f(x)-915*x+441) ogf] A250808 4.95678 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=441,a(1)=1731,a(2)=6171} ogf] A250808 8.82015 [-3*(212*x^2-305*x+147)/(2*x-1)/(3*x-1)/(x-1) ogf] A250809 4.3095 [(12638688967*f(x)+1750954780838)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+1158*x^2-f(x)-1607*x+784) ogf] A250809 5.01598 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=784,a(1)=3097,a(2)=11116} ogf] A250809 8.74213 [-(1158*x^2-1607*x+784)/(2*x-1)/(3*x-1)/(x-1) ogf] A250810 4.34632 [(122323013186*f(x)+27482117120391)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+1959*x^2-f(x)-2637*x+1296) ogf] A250810 5.12371 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1296,a(1)=5139,a(2)=18537} ogf] A250810 8.87628 [-3*(653*x^2-879*x+432)/(2*x-1)/(3*x-1)/(x-1) ogf] A250811 4.5128 [(1386967847*f(x)+479382362886)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+3126*x^2-f(x)-4101*x+2025) ogf] A250811 5.17321 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=2025,a(1)=8049,a(2)=29145} ogf] A250811 8.96204 [-3*(1042*x^2-1367*x+675)/(2*x-1)/(3*x-1)/(x-1) ogf] A250813 7.50574 [-(9*x^4-44*x^3+85*x^2-80*x+36)/(x-1)^5 ogf] A250814 6.83151 [-(27*x^4-134*x^3+268*x^2-266*x+129)/(x-1)^5 ogf] A250815 7.13213 [-(81*x^4-404*x^3+826*x^2-845*x+432)/(x-1)^5 ogf] A250816 6.26698 [-(243*x^4-1214*x^3+2518*x^2-2624*x+1389)/(x-1)^5 ogf] A250817 6.41026 [-(729*x^4-3644*x^3+7630*x^2-8045*x+4356)/(x-1)^5 ogf] A250818 6.14467 [-(2187*x^4-10934*x^3+23038*x^2-24476*x+13449)/(x-1)^5 ogf] A250819 5.82642 [-(6561*x^4-32804*x^3+69406*x^2-74105*x+41112)/(x-1)^5 ogf] A250834 3.73717 [-(35612*f(x)+775677)*(6*f(x)*x^4-8*f(x)*x^3+13*f(x)*x^2+54*x^3-8*f(x)*x-62*x^2+f(x)+107*x-55) ogf] A250834 7.02408 [-(54*x^3-62*x^2+107*x-55)/(6*x^4-8*x^3+13*x^2-8*x+1) ogf] A250846 3.22745 [(6871583229661645*f(x)+147492973000889976)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+384*x^3-10*f(x)*x-740*x^2+f(x)+457*x-100) ogf] A250846 6.56367 [-(384*x^3-740*x^2+457*x-100)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250847 3.20911 [(6952469530729*f(x)+637436190347214)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+1344*x^3-10*f(x)*x-2527*x^2+f(x)+1543*x-400) ogf] A250847 6.20892 [-(1344*x^3-2527*x^2+1543*x-400)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250848 5.84290 [-(3992*x^3-7302*x^2+4213*x-1225)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250849 3.09458 [(36257078391117*f(x)+32497863092621044)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+10284*x^3-10*f(x)*x-18416*x^2+f(x)+9924*x-3136) ogf] A250849 5.99372 [-4*(2571*x^3-4604*x^2+2481*x-784)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250850 5.51885 [-9*(2624*x^3-4624*x^2+2329*x-784)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250851 5.60800 [-(49444*x^3-86035*x^2+40707*x-14400)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250852 5.72424 [-(96024*x^3-165362*x^2+73953*x-27225)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250854 4.57473 [-(64*x^6-447*x^5+1334*x^4-2231*x^3+2241*x^2-1344*x+543)/(x-1)^7 ogf] A250855 4.64469 [-(256*x^6-1791*x^5+5326*x^4-8976*x^3+9188*x^2-5593*x+2670)/(x-1)^7 ogf] A250856 4.00838 [-(1024*x^6-7167*x^5+21160*x^4-35749*x^3+37047*x^2-22546*x+12311)/(x-1)^7 ogf] A250857 3.91163 [-(4096*x^6-28671*x^5+83994*x^4-141944*x^3+148340*x^2-89705*x+54410)/(x-1)^7 ogf] A250858 3.80439 [-(16384*x^6-114687*x^5+333624*x^4-563481*x^3+592371*x^2-355334*x+233683)/(x-1)^7 ogf] A250859 3.61443 [-(65536*x^6-458751*x^5+1326626*x^4-2238796*x^3+2363648*x^2-1406733*x+983950)/(x-1)^7 ogf] A250867 5.97427 [(42875*f(x)*x-64*f(x)+32768000000000)^2 ogf] A250870 4.20724 [(938096009*f(x)+15828694368)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+192*x^2-f(x)-280*x+90) ogf] A250870 4.76820 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=90,a(1)=440,a(2)=2002} ogf] A250870 8.41447 [-2*(96*x^2-140*x+45)/(x-1)/(3*x-1)/(4*x-1) ogf] A250871 3.43578 [(1524426146917*f(x)+91591863102168)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+1200*x^3-10*f(x)*x-2332*x^2+f(x)+1424*x-288) ogf] A250871 6.61014 [-4*(300*x^3-583*x^2+356*x-72)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250872 3.20911 [(4298371292605*f(x)+701418470378856)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+2928*x^3-10*f(x)*x-5572*x^2+f(x)+3338*x-678) ogf] A250872 6.20892 [-2*(1464*x^3-2786*x^2+1669*x-339)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250873 3.44379 [(65490853*f(x)+23556603264)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+5952*x^3-10*f(x)*x-11128*x^2+f(x)+6552*x-1328) ogf] A250873 6.26477 [-8*(744*x^3-1391*x^2+819*x-166)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250874 2.87508 [(7927103142065581*f(x)+5406763534503977232)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+10656*x^3-10*f(x)*x-19656*x^2+f(x)+11416*x-2306) ogf] A250874 5.66031 [-2*(5328*x^3-9828*x^2+5708*x-1153)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250875 2.89037 [(43927294639818661*f(x)+51080552432074046088)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+17424*x^3-10*f(x)*x-31812*x^2+f(x)+18280*x-3680) ogf] A250875 5.75064 [-4*(4356*x^3-7953*x^2+4570*x-920)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250876 3.04661 [(13779582891373*f(x)+25280481464419032)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+26640*x^3-10*f(x)*x-48252*x^2+f(x)+27494*x-5518) ogf] A250876 5.87106 [-2*(13320*x^3-24126*x^2+13747*x-2759)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A250878 3.62212 [{(4159*n^2+23771*n+30906)*a(n+1)+(2324*n^2+53560*n+139392)*a(n+2)+(-6483*n^2-45405*n-77868)*a(n+3),a(0)=90,a(1)=288,a(2)=678} ogf] A250878 4.79199 [(2425503883*f(x)+135612180350)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+16*x^3-4*f(x)*x-66*x^2+f(x)+72*x-90) ogf] A250878 8.76717 [-(-8*x^3+42*x^2-42*x+144)/(-8*x^4+41*x^3-69*x^2+81*x-45) lgdogf] A250878 9.52483 [-2*(8*x^3-33*x^2+36*x-45)/(x-1)^4 ogf] A250879 4.37053 [(9855901935*f(x)+2986589205808)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+64*x^3-4*f(x)*x-258*x^2+f(x)+304*x-440) ogf] A250879 7.51185 [-(-32*x^3+162*x^2-198*x+728)/(-32*x^4+161*x^3-281*x^2+372*x-220) lgdogf] A250879 8.58498 [-2*(32*x^3-129*x^2+152*x-220)/(x-1)^4 ogf] A250880 3.91931 [(26226838046012878*f(x)+38460625240987437467)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+256*x^3-4*f(x)*x-1026*x^2+f(x)+1196*x-2002) ogf] A250880 7.03172 [-(-128*x^3+642*x^2-768*x+3406)/(-128*x^4+641*x^3-1111*x^2+1599*x-1001) lgdogf] A250880 8.15040 [-2*(128*x^3-513*x^2+598*x-1001)/(x-1)^4 ogf] A250881 3.59698 [(61697175448187339619673*f(x)+409991922736371130345728830)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+1024*x^3-4*f(x)*x-4098*x^2+f(x)+4584*x-8736) ogf] A250881 6.68496 [-(-512*x^3+2562*x^2-2778*x+15180)/(-512*x^4+2561*x^3-4341*x^2+6660*x-4368) lgdogf] A250881 7.96187 [-2*(512*x^3-2049*x^2+2292*x-4368)/(x-1)^4 ogf] A250882 7.41742 [-2*(2048*x^3-8193*x^2+8726*x-18565)/(x-1)^4 ogf] A250883 6.57668 [-2*(8192*x^3-32769*x^2+33292*x-77540)/(x-1)^4 ogf] A250884 6.82604 [-2*(32768*x^3-131073*x^2+127758*x-320001)/(x-1)^4 ogf] A250885 12.5909 [-1+f(x)-4*f(x)^2*x+3*x^2*f(x)^3 ogf] A250885 23.2145 [3*x^3-4*x^2+x revogf] A250885 3.95140 [{(243*n^2+972*n+945)*a(n+1)+(40*n^2+220*n+300)*a(n+2)+(-4*n^2-28*n-48)*a(n+3),a(0)=1,a(1)=4,a(2)=29} ogf] A250886 14.0816 [-1+f(x)-f(x)^2*x-2*x^2*f(x)^3 ogf] A250886 25.9630 [-2*x^3-x^2+x revogf] A250886 4.41923 [{(-108*n^2-432*n-420)*a(n+1)+(-40*n^2-220*n-300)*a(n+2)+(9*n^2+63*n+108)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A250887 13.4986 [1-f(x)+2*f(x)^2*x+3*x^2*f(x)^3 ogf] A250887 24.8879 [-3*x^3-2*x^2+x revogf] A250887 4.12650 [{(243*n^2+972*n+945)*a(n+1)+(140*n^2+770*n+1050)*a(n+2)+(-16*n^2-112*n-192)*a(n+3),a(0)=1,a(1)=2,a(2)=11} ogf] A250888 12.4877 [1-f(x)+3*f(x)^2*x+4*x^2*f(x)^3 ogf] A250888 23.0242 [-4*x^3-3*x^2+x revogf] A250888 3.75905 [{(432*n^2+1728*n+1680)*a(n+1)+(324*n^2+1782*n+2430)*a(n+2)+(-25*n^2-175*n-300)*a(n+3),a(0)=1,a(1)=3,a(2)=22} ogf] A250889 12.542 [-1+f(x)-f(x)^2*x-6*x^2*f(x)^3 ogf] A250889 23.1242 [-6*x^3-x^2+x revogf] A250889 3.83407 [{(-972*n^2-3888*n-3780)*a(n+1)+(-112*n^2-616*n-840)*a(n+2)+(25*n^2+175*n+300)*a(n+3),a(0)=1,a(1)=1,a(2)=8} ogf] A250890 11.4836 [1-f(x)+3*f(x)^2*x+10*x^2*f(x)^3 ogf] A250890 20.8793 [-10*x^3-3*x^2+x revogf] A250890 3.46240 [{(-2700*n^2-10800*n-10500)*a(n+1)+(-648*n^2-3564*n-4860)*a(n+2)+(49*n^2+343*n+588)*a(n+3),a(0)=1,a(1)=3,a(2)=28} ogf] A250891 6.57209 [(2*x^5-8*x^4-132*x^3+264*x^2-171*x+37)/(3*x-1)/(x-1)/(2*x-1)^2 ogf] A250892 3.49963 [(88*x^8-328*x^7-498*x^6+3984*x^5-7674*x^4+7364*x^3-3898*x^2+1093*x-127)/(3*x-1)/(2*x-1)^3/(x-1)^3 ogf] A250893 3.51798 [(594*x^8-1746*x^7-1284*x^6+13314*x^5-25568*x^4+24246*x^3-12668*x^2+3511*x-403)/(3*x-1)/(2*x-1)^3/(x-1)^3 ogf] A250894 3.32581 [(2560*x^8-6688*x^7-4192*x^6+42988*x^5-81484*x^4+76719*x^3-39723*x^2+10881*x-1229)/(3*x-1)/(2*x-1)^3/(x-1)^3 ogf] A250895 3.31693 [(8800*x^8-21650*x^7-14708*x^6+133698*x^5-251138*x^4+236349*x^3-121853*x^2+33047*x-3673)/(3*x-1)/(2*x-1)^3/(x-1)^3 ogf] A250896 3.10495 [(26568*x^8-63432*x^7-50022*x^6+402400*x^5-755858*x^4+715664*x^3-368950*x^2+99285*x-10875)/(3*x-1)/(2*x-1)^3/(x-1)^3 ogf] A250897 3.10111 [(73990*x^8-174146*x^7-162292*x^6+1181770*x^5-2239408*x^4+2144026*x^3-1108848*x^2+296719*x-32095)/(3*x-1)/(2*x-1)^3/(x-1)^3 ogf] A250899 6.29613 [-(108*x^4-348*x^3+407*x^2-206*x+37)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A250900 4.96855 [-(324*x^5-1392*x^4+2393*x^3-2015*x^2+819*x-125)/(2*x-1)^2/(3*x-1)/(x-1)^3 ogf] A250907 3.99485 [-(62932481*f(x)+2859592572)*(36*f(x)*x^3-41*f(x)*x^2+24*f(x)*x+972*x^2-f(x)-1071*x+603) ogf] A250907 4.47043 [{a(n+3)-24*a(n+2)+41*a(n+1)-36*a(n),a(0)=603,a(1)=13401,a(2)=297873} ogf] A250907 7.93344 [-9*(108*x^2-119*x+67)/(36*x^3-41*x^2+24*x-1) ogf] A250916 11.8260 [16/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2))^3 lgdegf] A250916 3.12289 [{(-4*n^3-34*n^2-42*n)*a(n)+(n^3+18*n^2+95*n+90)*a(n+1)+(-10*n^2-90*n-156)*a(n+2)+(2*n^2+18*n+36)*a(n+3),a(0)=1,a(1)=2,a(2)=7} egf] A250917 7.85184 [1/2*I/x^3/(4*x-1)^(1/2)*(2*x^2-7*x+2)+1/2*(3*x-2)/x^3 lgdegf] A250920 5.54913 [-(36*x^4-140*x^3+245*x^2-178*x+58)/(4*x^5-16*x^4+29*x^3-23*x^2+9*x-1) ogf] A250928 2.88041 [-(11521927807207*f(x)+282038177512476)*(33*f(x)*x^4-37*f(x)*x^3+23*f(x)*x^2+528*x^3-12*f(x)*x-536*x^2+f(x)+316*x-164) ogf] A250928 5.82555 [-4*(132*x^3-134*x^2+79*x-41)/(33*x^4-37*x^3+23*x^2-12*x+1) ogf] A250936 3.06021 [(8*x^10-40*x^9+182*x^8-296*x^7-1195*x^6+5586*x^5-9816*x^4+9104*x^3-4730*x^2+1316*x-155)/(3*x-1)/(x-1)^2/(2*x-1)^4 ogf] A250943 5.88487 [-(108*x^4+138*x^3-109*x^2-67*x+37)/(3*x-1)/(4*x^2+2*x-1)/(x^2+x-1) ogf] A250951 3.57705 [-(924397*f(x)-4430993)*(8*f(x)*x^3+24*f(x)*x^2-15*f(x)*x+128*x^2+f(x)+391*x-209) ogf] A250951 3.89695 [{a(n+3)-15*a(n+2)+24*a(n+1)+8*a(n),a(0)=209,a(1)=2744,a(2)=36016} ogf] A250951 6.94674 [-(128*x^2+391*x-209)/(8*x^3+24*x^2-15*x+1) ogf] A250952 5.53912 [-4*(240*x^3-361*x^2-463*x+195)/(30*x^4-46*x^3-57*x^2+27*x-1) ogf] A250958 3.58264 [-(576*x^6-2652*x^5+5608*x^4-5991*x^3+3571*x^2-1128*x+170)/(36*x^7-168*x^6+361*x^5-397*x^4+248*x^3-86*x^2+16*x-1) ogf] A250967 5.74594 [-(24*x^4-108*x^3+118*x^2-84*x+49)/(x-1)/(3*x^4-11*x^3+6*x^2-7*x+1) ogf] A250975 5.80964 [-(9*x^4-53*x^3+111*x^2-77*x+71)/(x^5-6*x^4+13*x^3-10*x^2+9*x-1) ogf] A250987 5.53133 [-(9*x^5+56*x^4+77*x^3-56*x^2-82*x+40)/(x^2+2*x-1)/(x^4+4*x^3-4*x+1) ogf] A250995 4.45474 [-(27*x^6+48*x^5-94*x^4-146*x^3+88*x^2+71*x-40)/(3*x-1)/(x+1)/(x^2+x-1)/(x^3-3*x+1) ogf] A251003 5.58431 [-(36*x^4-104*x^3+141*x^2-91*x+69)/(4*x^5-12*x^4+17*x^3-12*x^2+9*x-1) ogf] A251012 6.03464 [-(9*x^4-62*x^3+155*x^2-144*x+63)/(x^5-7*x^4+18*x^3-18*x^2+9*x-1) ogf] A251021 4.08046 [-(46*x^7-255*x^6+557*x^5-571*x^4+157*x^3+264*x^2-244*x+110)/(3*x^2+x-1)/(x-1)^6 ogf] A251048 3.95132 [-(6*x^8-18*x^7-34*x^6+245*x^5-470*x^4+363*x^3+12*x^2-172*x+66)/(3*x^2+x-1)/(x-1)^6 ogf] A251049 3.20905 [-(19*x^10+113*x^9-936*x^8+1772*x^7+228*x^6-5116*x^5+7493*x^4-4658*x^3+640*x^2+792*x-290)/(3*x^2+x-1)/(x-1)^7 ogf] A251081 5.67300 [-(2*x^6+6*x^5-47*x^4+70*x^3-7*x^2-52*x+27)/(2*x-1)/(x+1)/(x-1)^4 ogf] A251082 4.57382 [-(26*x^7-29*x^6-204*x^5+549*x^4-472*x^3+9*x^2+214*x-83)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251083 4.33694 [-(82*x^7-85*x^6-674*x^5+1768*x^4-1460*x^3+35*x^2+536*x-192)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251084 4.35114 [-2*(89*x^7-53*x^6-886*x^5+2125*x^4-1662*x^3+7*x^2+607*x-210)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251085 4.45624 [-(320*x^7+27*x^6-4098*x^5+8954*x^4-6460*x^3-511*x^2+2698*x-872)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251086 4.14431 [-2*(256*x^7+280*x^6-4350*x^5+8669*x^4-5640*x^3-1181*x^2+2922*x-891)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251087 4.14702 [-(756*x^7+1962*x^6-17566*x^5+32161*x^4-18338*x^3-7604*x^2+12472*x-3593)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251091 5.92667 [-x*(x^10+x^9+9*x^8+8*x^7+22*x^6+6*x^5+22*x^4+8*x^3+9*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A251094 3.64541 [-(7057098937*f(x)+28655511147)*(3*f(x)*x^4-10*f(x)*x^3+11*f(x)*x^2+24*x^3-7*f(x)*x-76*x^2+f(x)+75*x-41) ogf] A251094 7.29081 [-(24*x^3-76*x^2+75*x-41)/(3*x^4-10*x^3+11*x^2-7*x+1) ogf] A251106 4.59043 [-(10*x^6-41*x^5+65*x^4-91*x^3+87*x^2-38*x+37)/(x^2+1)/(x^5-5*x^4+8*x^3-7*x^2+5*x-1) ogf] A251122 7.49252 [-(12*x^4-20*x^3-14*x^2+44*x-21)/(x^2+x-1)/(x-1)^3 ogf] A251123 7.09198 [(x^5-29*x^4+46*x^3+32*x^2-91*x+40)/(x^2+x-1)/(x-1)^3 ogf] A251124 6.73714 [(3*x^5-59*x^4+87*x^3+65*x^2-171*x+72)/(x^2+x-1)/(x-1)^3 ogf] A251125 6.61925 [(6*x^5-107*x^4+153*x^3+125*x^2-307*x+125)/(x^2+x-1)/(x-1)^3 ogf] A251126 6.28543 [(10*x^5-183*x^4+255*x^3+230*x^2-533*x+212)/(x^2+x-1)/(x-1)^3 ogf] A251127 6.40807 [(15*x^5-302*x^4+414*x^3+410*x^2-906*x+354)/(x^2+x-1)/(x-1)^3 ogf] A251130 5.96117 [-(17*x^5-60*x^4+58*x^3+24*x^2-67*x+40)/(2*x-1)/(x+1)/(x-1)^4 ogf] A251131 4.18604 [-(4*x^8+26*x^7-27*x^6-264*x^5+597*x^4-330*x^3-235*x^2+382*x-133)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251132 3.98212 [(2*x^9-5*x^8-114*x^7+62*x^6+1146*x^5-2514*x^4+1464*x^3+782*x^2-1212*x+369)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251133 4.03025 [(2*x^9+7*x^8-290*x^7-165*x^6+3770*x^5-7100*x^4+3590*x^3+2473*x^2-3250*x+919)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251134 3.78584 [(2*x^9+21*x^8-571*x^7-883*x^6+9606*x^5-16776*x^4+7381*x^3+7011*x^2-7988*x+2129)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251135 3.74947 [(2*x^9+39*x^8-1012*x^7-2915*x^6+22238*x^5-35970*x^4+12986*x^3+18201*x^2-18408*x+4699)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251136 3.56011 [(2*x^9+61*x^8-1661*x^7-7753*x^6+48222*x^5-73278*x^4+20853*x^3+43911*x^2-40650*x+10033)/(2*x-1)/(x+1)/(x-1)^5 ogf] A251143 7.59513 [-(34*x^4+35*x^3-60*x^2-32*x+27)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A251144 7.54867 [-(74*x^4+83*x^3-118*x^2-72*x+53)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A251145 7.40806 [-(162*x^4+195*x^3-236*x^2-160*x+107)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A251146 7.44351 [-(342*x^4+433*x^3-464*x^2-340*x+213)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A251147 7.54984 [-(718*x^4+945*x^3-918*x^2-716*x+427)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A251148 7.34684 [-(1486*x^4+2013*x^3-1812*x^2-1484*x+853)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A251151 5.33522 [-(36*x^5-68*x^4-35*x^3+176*x^2-15*x-65)/(4*x^6-8*x^5-3*x^4+20*x^3-4*x^2-7*x+1) ogf] A251194 4.61181 [(323*f(x)-725)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2+4*x^3-2*f(x)*x+6*x^2+f(x)-5*x-10) ogf] A251194 8.39587 [-(4*x^3+6*x^2-5*x-10)/(x^4+x^3-2*x^2-2*x+1) ogf] A251195 6.33070 [(x^5-7*x^4-62*x^3-37*x^2+36*x+25)/(x^5+7*x^4+x^3-7*x^2-2*x+1) ogf] A251203 5.06609 [(4807*f(x)-29956)*(16*f(x)*x^3+12*f(x)*x^2-8*f(x)*x+144*x^2+f(x)+140*x-40) ogf] A251203 5.32151 [{-a(n+3)+8*a(n+2)-12*a(n+1)-16*a(n),a(0)=40,a(1)=180,a(2)=816} ogf] A251203 9.31265 [-4*(36*x^2+35*x-10)/(4*x-1)/(4*x^2+4*x-1) ogf] A251204 4.41049 [-2*(2430*x^5-2475*x^4-8130*x^3-1321*x^2+997*x-90)/(6*x-1)/(5*x^2+5*x-1)/(6*x^3-12*x^2-7*x+1) ogf] A251212 11.3402 [-(8*x^2-12*x-9)/(2*x^3-4*x^2-x+1) ogf] A251212 6.16749 [{a(n+3)-a(n+2)-4*a(n+1)+2*a(n),a(0)=9,a(1)=21,a(2)=49} ogf] A251212 6.22208 [(4*f(x)+13)*(2*f(x)*x^3-4*f(x)*x^2-f(x)*x+8*x^2+f(x)-12*x-9) ogf] A251212 6.76052 [-(-16*x^4+48*x^3-2*x^2-56*x-21)/(-16*x^5+56*x^4-22*x^3-56*x^2+3*x+9) lgdogf] A251213 7.64949 [-(32*x^4+16*x^3-82*x^2+21)/(4*x^5-12*x^3+4*x^2+3*x-1) ogf] A251214 3.24200 [-(384*x^8-692*x^7-1592*x^6+1456*x^5+1424*x^4-694*x^3-457*x^2+93*x+49)/(24*x^9-56*x^8-84*x^7+146*x^6+68*x^5-85*x^4-20*x^3+17*x^2+2*x-1) ogf] A251221 10.2156 [-(4*x^2-7*x-14)/(x^3-2*x^2-3*x+1) ogf] A251221 5.23446 [-(743*f(x)+1286)*(f(x)*x^3-2*f(x)*x^2-3*f(x)*x+4*x^2+f(x)-7*x-14) ogf] A251221 5.46008 [{a(n+3)-3*a(n+2)-2*a(n+1)+a(n),a(0)=14,a(1)=49,a(2)=171} ogf] A251222 6.00906 [-(24*x^4-60*x^3-74*x^2+60*x+49)/(x-1)/(x+1)/(3*x^3-8*x^2-5*x+1) ogf] A251229 4.23741 [-(451*f(x)+5461080)*(24*f(x)*x^4-8*f(x)*x^3-12*f(x)*x^2+336*x^3+7*f(x)*x+8*x^2-f(x)-156*x+38) ogf] A251229 7.86945 [-2*(168*x^3+4*x^2-78*x+19)/(3*x-1)/(2*x-1)/(4*x^2+2*x-1) ogf] A251230 3.26614 [-2*(1200*x^8+1352*x^7-3268*x^6-1898*x^5+3524*x^4-93*x^3-1172*x^2+470*x-55)/(2*x-1)/(3*x-1)/(x-1)/(4*x^2+2*x-1)/(2*x^2+2*x-1)/(x^2+x-1) ogf] A251243 5.26565 [-9*(108*x^4+16*x^3-108*x^2+278*x-69)/(36*x^5+4*x^4-36*x^3+94*x^2-27*x+1) ogf] A251251 11.1881 [-2*(2*x^2-5*x-4)/(x^3-3*x^2-x+1) ogf] A251251 5.78052 [-(118*f(x)+161)*(f(x)*x^3-3*f(x)*x^2-f(x)*x+4*x^2+f(x)-10*x-8) ogf] A251251 6.08477 [{a(n+3)-a(n+2)-3*a(n+1)+a(n),a(0)=8,a(1)=18,a(2)=38} ogf] A251251 6.93664 [-(-2*x^4+10*x^3-5*x^2-20*x-9)/(-2*x^5+11*x^4-9*x^3-19*x^2+x+4) lgdogf] A251252 6.89760 [-2*(12*x^4+12*x^3-45*x^2+x+9)/(3*x^5+3*x^4-14*x^3+4*x^2+3*x-1) ogf] A251253 4.92556 [-2*(71*x^5+72*x^4-189*x^3-90*x^2+56*x+19)/(10*x^6+8*x^5-32*x^4-7*x^3+13*x^2+x-1) ogf] A251260 7.75338 [(x^3+x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A251262 3.7442 [-(111607735*f(x)+375720664)*(2*f(x)*x^4-5*f(x)*x^3-2*f(x)*x^2+16*x^3+5*f(x)*x-38*x^2-f(x)-16*x+26) ogf] A251262 7.44216 [-2*(8*x^3-19*x^2-8*x+13)/(2*x^4-5*x^3-2*x^2+5*x-1) ogf] A251269 6.68957 [-(16*x^4-70*x^3+119*x^2-96*x+35)/(2*x-1)/(x-1)^4 ogf] A251270 3.75240 [-(32*x^7-238*x^6+769*x^5-1407*x^4+1589*x^3-1127*x^2+492*x-108)/(2*x-1)/(x-1)^7 ogf] A251276 4.97844 [(5033*f(x)+174122)*(26*f(x)*x^2-16*f(x)*x+f(x)+416*x-230) ogf] A251276 5.53781 [{-a(n+2)+16*a(n+1)-26*a(n),a(0)=230,a(1)=3264} ogf] A251276 5.86744 [-(-5408*x^2+5980*x-1632)/(-5408*x^3+6318*x^2-2048*x+115) lgdogf] A251276 9.66402 [-2*(208*x-115)/(26*x^2-16*x+1) ogf] A251277 5.15555 [-64*(1152*x^3+246*x^2-179*x+51)/(1152*x^4+228*x^3-182*x^2+54*x-1) ogf] A251285 4.65566 [(801*f(x)+1628)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2+4*x^3+2*f(x)*x-10*x^2-f(x)+4*x+9) ogf] A251285 8.53538 [-(4*x^3-10*x^2+4*x+9)/(x^4-3*x^3+2*x^2+2*x-1) ogf] A251286 6.20619 [-(x^5+51*x^4-36*x^3-77*x^2+27*x+22)/(7*x^5-7*x^4-9*x^3+7*x^2+2*x-1) ogf] A251293 4.30513 [(5078109*f(x)-50018080)*(20*f(x)*x^3+21*f(x)*x^2-10*f(x)*x+320*x^2+f(x)+396*x-84) ogf] A251293 4.69650 [{-a(n+3)+10*a(n+2)-21*a(n+1)-20*a(n),a(0)=84,a(1)=444,a(2)=2356} ogf] A251293 8.23590 [-4*(80*x^2+99*x-21)/(5*x-1)/(4*x^2+5*x-1) ogf] A251294 3.34834 [-4*(13440*x^6-9662*x^5-56458*x^4-14568*x^3+13299*x^2-2212*x+111)/(6*x-1)/(7*x-1)/(5*x^2+6*x-1)/(4*x^3-7*x^2-8*x+1) ogf] A251301 3.59687 [-(16*x^6-175*x^5+757*x^4-1616*x^3+1752*x^2-844*x+196)/(x^7-11*x^6+48*x^5-104*x^4+116*x^3-60*x^2+16*x-1) ogf] A251310 4.8277 [(179*f(x)+585)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+4*x^3-3*f(x)*x-6*x^2+f(x)+5*x-10) ogf] A251310 8.78891 [-(4*x^3-6*x^2+5*x-10)/(x^4-2*x^3+2*x^2-3*x+1) ogf] A251311 5.62270 [-(15*x^5-39*x^4+84*x^3-68*x^2+46*x-25)/(2*x^6-6*x^5+13*x^4-13*x^3+9*x^2-5*x+1) ogf] A251319 10.3835 [-2*(4*x^2-4*x-5)/(2*x^3-3*x^2-2*x+1) ogf] A251319 5.36479 [-(155*f(x)+464)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+8*x^2+f(x)-8*x-10) ogf] A251319 5.59805 [{-a(n+3)+2*a(n+2)+3*a(n+1)-2*a(n),a(0)=10,a(1)=28,a(2)=78} ogf] A251320 6.05797 [-2*(8*x^4-2*x^3-49*x^2+16*x+14)/(x^2-2*x-1)/(2*x^3+3*x^2-5*x+1) ogf] A251328 4.8618 [(618469*f(x)-3097692)*(12*f(x)*x^3+13*f(x)*x^2-8*f(x)*x+108*x^2+f(x)+141*x-39) ogf] A251328 5.27034 [{-a(n+3)+8*a(n+2)-13*a(n+1)-12*a(n),a(0)=39,a(1)=171,a(2)=753} ogf] A251328 9.22310 [-3*(36*x^2+47*x-13)/(4*x-1)/(3*x^2+4*x-1) ogf] A251329 4.34642 [-(1944*x^5-846*x^4-9033*x^3-4081*x^2+1963*x-171)/(6*x-1)/(x+1)/(3*x^2-8*x+1)/(4*x^2+5*x-1) ogf] A251336 4.41666 [(100357*f(x)-1176915)*(25*f(x)*x^3+20*f(x)*x^2-10*f(x)*x+400*x^2+f(x)+395*x-85) ogf] A251336 4.74517 [{-a(n+3)+10*a(n+2)-20*a(n+1)-25*a(n),a(0)=85,a(1)=455,a(2)=2450} ogf] A251336 8.32125 [-5*(80*x^2+79*x-17)/(5*x-1)/(5*x^2+5*x-1) ogf] A251337 3.28585 [-(112896*x^6-131964*x^5-354270*x^4-12684*x^3+49869*x^2-8970*x+455)/(6*x-1)/(7*x-1)/(6*x^2+6*x-1)/(7*x^3-14*x^2-8*x+1) ogf] A251344 4.72535 [(60061*f(x)-615996)*(12*f(x)*x^3-3*f(x)*x^2-6*f(x)*x+108*x^2+f(x)-3*x-51) ogf] A251344 4.92390 [{-a(n+3)+6*a(n+2)+3*a(n+1)-12*a(n),a(0)=51,a(1)=309,a(2)=1899} ogf] A251344 9.01452 [-3*(36*x^2-x-17)/(12*x^3-3*x^2-6*x+1) ogf] A251366 11.4534 [-(63*x+79)/(7*x^2+8*x-1) ogf] A251366 5.72671 [(6666*f(x)-43589)*(7*f(x)*x^2+8*f(x)*x-f(x)+63*x+79) ogf] A251366 6.33306 [{a(n+2)-8*a(n+1)-7*a(n),a(0)=79,a(1)=695} ogf] A251366 6.81405 [-(-441*x^2-1106*x-695)/(-441*x^3-1057*x^2-569*x+79) lgdogf] A251367 3.24807 [-(1240659739500797*f(x)+18789169214511106)*(34*f(x)*x^3-49*f(x)*x^2-24*f(x)*x+918*x^2+f(x)-1289*x-695) ogf] A251367 4.02143 [{-a(n+3)+24*a(n+2)+49*a(n+1)-34*a(n),a(0)=695,a(1)=17969,a(2)=464393} ogf] A251367 7.13662 [-(918*x^2-1289*x-695)/(34*x^3-49*x^2-24*x+1) ogf] A251368 3.77706 [-(298890*x^4-505071*x^3+47269*x^2+60935*x+6113)/(3690*x^5-6281*x^4+660*x^3+746*x^2+66*x-1) ogf] A251374 3.27697 [(453505787*f(x)-12727259232)*(24*f(x)*x^4-66*f(x)*x^3-3*f(x)*x^2+384*x^3+10*f(x)*x-984*x^2-f(x)-192*x+124) ogf] A251374 6.18155 [-4*(96*x^3-246*x^2-48*x+31)/(24*x^4-66*x^3-3*x^2+10*x-1) ogf] A251383 4.40125 [-(53919301*f(x)+475573554)*(6*f(x)*x^3-f(x)*x^2-8*f(x)*x+54*x^2+f(x)-3*x-71) ogf] A251383 4.92342 [{-a(n+3)+8*a(n+2)+a(n+1)-6*a(n),a(0)=71,a(1)=571,a(2)=4585} ogf] A251383 9.22165 [-(54*x^2-3*x-71)/(6*x^3-x^2-8*x+1) ogf] A251384 4.29980 [-(864*x^5-1912*x^4-1846*x^3+3127*x^2+676*x-571)/(32*x^6-72*x^5-66*x^4+119*x^3+21*x^2-23*x+1) ogf] A251403 5.70884 [-2*(54*x^4-222*x^3-106*x^2+73*x+23)/(12*x^5-52*x^4-14*x^3+21*x^2+2*x-1) ogf] A251418 8.67296 [(3*x^8-3*x^7-x^2-2*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A251420 5.15607 [-(7286*f(x)-9721)*(f(x)*x^4-f(x)*x^3+3*x^4+x^3+f(x)*x+5*x^2-f(x)-2*x+2) ogf] A251420 9.17378 [-(3*x^4+x^3+5*x^2-2*x+2)/(x-1)/(x+1)/(x^2-x+1) ogf] A251421 11.5759 [-2*(8*x^2-4*x-1)/(2*x-1)/(2*x^2-1) ogf] A251421 5.93143 [-(109*f(x)+1420)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+16*x^2+f(x)-8*x-2) ogf] A251421 6.29565 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=2,a(1)=12,a(2)=12} ogf] A251421 6.90100 [-(-32*x^4+32*x^3-12*x^2+12*x-6)/(-32*x^5+32*x^4+12*x^3-18*x^2+2*x+1) lgdogf] A251429 4.18226 [-(x^10-x^9-27*x^8-55*x^7-98*x^6-114*x^5-125*x^4-97*x^3-75*x^2-29*x-12)/(x+1)/(x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A251444 4.72126 [-(36*x^5+57*x^4-35*x^3-107*x^2+5*x+45)/(x-1)/(4*x^5+9*x^4+3*x^3-8*x^2-4*x+1) ogf] A251452 3.74815 [-2*(3456*x^6+8880*x^5+1694*x^4-3379*x^3-792*x^2+314*x+57)/(432*x^7+1092*x^6+76*x^5-470*x^4-46*x^3+55*x^2+2*x-1) ogf] A251484 5.0845 [(1433*f(x)+35060)*(20*f(x)*x^2-16*f(x)*x+f(x)+320*x-236) ogf] A251484 5.59866 [{-a(n+2)+16*a(n+1)-20*a(n),a(0)=236,a(1)=3456} ogf] A251484 6.07660 [-(-1600*x^2+2360*x-864)/(-1600*x^3+2460*x^2-1024*x+59) lgdogf] A251484 9.77022 [-4*(80*x-59)/(20*x^2-16*x+1) ogf] A251492 3.27977 [(50699555*f(x)-1361568036)*(48*f(x)*x^4-52*f(x)*x^3-5*f(x)*x^2+768*x^3+13*f(x)*x-736*x^2-f(x)-148*x+186) ogf] A251492 6.11230 [-2*(384*x^3-368*x^2-74*x+93)/(48*x^4-52*x^3-5*x^2+13*x-1) ogf] A251500 3.04238 [(5076171*f(x)-74497792)*(24*f(x)*x^4+18*f(x)*x^3-21*f(x)*x^2+384*x^3-13*f(x)*x+312*x^2+f(x)-312*x-226) ogf] A251500 5.53781 [-2*(192*x^3+156*x^2-156*x-113)/(24*x^4+18*x^3-21*x^2-13*x+1) ogf] A251517 3.59784 [-(185481844*f(x)+2977243235)*(20*f(x)*x^3-8*f(x)*x^2-15*f(x)*x+320*x^2+f(x)-108*x-246) ogf] A251517 4.09510 [{-a(n+3)+15*a(n+2)+8*a(n+1)-20*a(n),a(0)=246,a(1)=3798,a(2)=58618} ogf] A251517 7.29996 [-2*(160*x^2-54*x-123)/(20*x^3-8*x^2-15*x+1) ogf] A251537 5.11450 [(x+1)*(3*x^10+5*x^9+3*x^8+3*x^7+5*x^6+3*x^5+5*x^4+3*x^3+5*x^2+3*x+5)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A251538 6.16476 [(2*x^11+4*x^10+4*x^9+3*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A251568 11.3361 [4/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2))^2 lgdegf] A251599 8.16616 [-(x^2+1)*(x^4-x^3+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A251601 4.52486 [(427275936*f(x)+51057115)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-5*x^2-f(x)+13*x) ogf] A251601 4.87593 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=0,a(1)=13,a(2)=450} ogf] A251601 6.01711 [-(10*x^3-214*x^2+910*x-450)/(5*x^4-188*x^3+630*x^2-460*x+13) lgdogf] A251601 9.42680 [x*(5*x-13)/(x-1)/(x^2-34*x+1) ogf] A251602 10.3147 [-(7*x^2-16*x+1)/(x-1)/(x^2-34*x+1) ogf] A251602 5.28111 [(2966312*f(x)-507257)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+7*x^2-f(x)-16*x+1) ogf] A251602 5.64221 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=19,a(2)=637} ogf] A251602 6.11239 [-(-7*x^4+32*x^3-318*x^2+56*x-19)/(-7*x^5+261*x^4-806*x^3+602*x^2-51*x+1) lgdogf] A251610 8.82543 [(x^4+2*x^3-2*x^2+2*x+1)/(x-1)^2/(x^2+1)^2 ogf] A251619 5.19674 [(x^25-x^24+x^23-x^22+x^19-x^18+x^13-x^12+x^10-x^8+x^7-x^5+x^3-x-2)/(x-1) ogf] A251624 4.20527 [{-a(n+3)+2703*a(n+2)-2703*a(n+1)+a(n),a(0)=278,a(1)=752958,a(2)=2034494038} ogf] A251624 7.82647 [2*(x^2-762*x-139)/(x-1)/(x^2-2702*x+1) ogf] A251625 4.22741 [{-a(n+3)+2703*a(n+2)-2703*a(n+1)+a(n),a(0)=483,a(1)=1304163,a(2)=3523847043} ogf] A251625 7.92639 [-3*(x^2-462*x+161)/(x-1)/(x^2-2702*x+1) ogf] A251648 3.31365 [-2*(416*x^10-1040*x^9-942*x^8-764*x^7+14670*x^6-15713*x^5-14050*x^4+16876*x^3+1053*x^2-132*x-624)/(x-1)/(x+1)/(x^2-3*x+1)/(26*x^3-1) ogf] A251653 3.45234 [-f(x)*x^5-f(x)*x^4-f(x)*x^3+x^4-f(x)*x^2+x^3-f(x)*x-x^2+f(x) ogf] A251653 5.40191 [x^2*(x^2+x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A251654 11.3570 [x*(2*x^2-1)/(x^4+x^3+x^2+x-1) ogf] A251654 5.63515 [-(11*f(x)-15)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-2*x^3+f(x)*x-f(x)+x) ogf] A251655 11.9083 [x*(x-1)*(x+1)/(x^4+x^3+x^2+x-1) ogf] A251655 6.00031 [-(8*f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x-f(x)+x) ogf] A251655 8.41348 [-(-2*x^5-x^4+4*x^3+4*x^2+1)/(-x^6-x^5+2*x^2+x-1) lgdogf] A251656 10.6986 [(2*x^3+x-1)/(x^4+x^3+x^2+x-1) ogf] A251656 5.46818 [-(26*f(x)-29)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-2*x^3+f(x)*x-f(x)-x+1) ogf] A251672 7.70648 [x^6*(x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251672 7.78354 [-(-7*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x)/(-x^9+2*x-1) lgdogf] A251687 8.32340 [(x+1)*(4*x^3+1)*(4*x^4-3*x^2+1)/(2*x^2-1)^2 ogf] A251688 7.01521 [(x+1)*(4*x^2+1)*(9*x^2+1)*(36*x^3+1)/(6*x^2-1)^2 ogf] A251689 8.49458 [(4*x+1)*(x+1)*(x^2+1)*(x^2-x+1)*(4*x^2+1)/(2*x^2-1)^2 ogf] A251701 5.22971 [-(79*f(x)-4)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2+4*x^3-6*f(x)*x-x^2+f(x)+2*x-1) ogf] A251701 7.31143 [-(-12*x^4-18*x^3-4*x^2+14*x-4)/(-12*x^5+19*x^4-14*x^3+12*x^2-6*x+1) lgdogf] A251701 9.53262 [-(4*x^3-x^2+2*x-1)/(3*x-1)/(x-1)^3 ogf] A251703 5.23348 [-(19*f(x)-31)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-2*x^3+f(x)*x-2*x^2-f(x)+1) ogf] A251703 9.96514 [(2*x^3+2*x^2-1)/(x^4+x^3+x^2+x-1) ogf] A251704 10.3578 [(x+1)*(x^2+x-1)/(x^4+x^3+x^2+x-1) ogf] A251704 5.60091 [(75*f(x)+11)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+f(x)*x-2*x^2-f(x)+1) ogf] A251705 10.3578 [(3*x^3+x^2-1)/(x^4+x^3+x^2+x-1) ogf] A251705 5.47915 [(497*f(x)-1000)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-3*x^3+f(x)*x-x^2-f(x)+1) ogf] A251706 9.35286 [x^4*(x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251706 9.46420 [-(-5*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x)/(-x^7+2*x-1) lgdogf] A251707 8.54831 [x^3*(x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251708 7.83494 [x^2*(x^3+x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251709 7.46669 [x*(x^4+x^3+x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251710 8.64705 [x^5*(x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251710 8.74104 [-(-6*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x)/(-x^8+2*x-1) lgdogf] A251711 7.96214 [x^4*(x^2+x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251712 7.37776 [x^3*(x^3+x^2+x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251713 6.87330 [x^2*(x^4+x^3+x^2+x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251714 6.55462 [x*(x^5+x^4+x^3+x^2+x-1)/(x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251730 11.6131 [-2*(x+5)/(x-1)/(x^2-14*x+1) ogf] A251730 5.41944 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=10,a(1)=152,a(2)=2130} ogf] A251730 5.41945 [(262828488*f(x)-8372525)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-f(x)+2*x+10) ogf] A251730 8.33760 [-(-2*x^3+150*x-76)/(-x^4+10*x^3+60*x^2-74*x+5) lgdogf] A251732 10.5649 [-(-27*x^2-18*x+3)/(-27*x^3+9*x^2+9*x+1) lgdogf] A251732 15.7300 [-(3*x+1)/(9*x^2-6*x-1) ogf] A251732 7.86499 [-(10*f(x)-9)*(9*f(x)*x^2-6*f(x)*x-f(x)+3*x+1) ogf] A251732 8.63229 [{a(n+2)+6*a(n+1)-9*a(n),a(0)=1,a(1)=-3} ogf] A251733 11.7879 [9*f(x)*x^2-6*f(x)*x-f(x)+3*x ogf] A251733 14.1936 [-(18*x-6)/(9*x^2-6*x-1) lgdogf] A251733 18.7969 [-3*x/(9*x^2-6*x-1) ogf] A251733 8.58622 [{a(n+2)+6*a(n+1)-9*a(n),a(0)=0,a(1)=3} ogf] A251740 7.14086 [x^5*(x^2+x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251741 6.55801 [x^4*(x^3+x^2+x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251742 6.13830 [x^3*(x^4+x^3+x^2+x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251743 16.3571 [(8*x-3)/(x-1)/(2*x-1)/(4*x-1) ogf] A251743 7.68074 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=3,a(1)=13,a(2)=49} ogf] A251743 7.74811 [-(1139*f(x)-2824)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x-f(x)-8*x+3) ogf] A251743 9.70643 [-(128*x^3-184*x^2+84*x-13)/(64*x^4-136*x^3+98*x^2-29*x+3) lgdogf] A251744 5.76908 [x^2*(x^5+x^4+x^3+x^2+x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251745 5.85497 [x*(x^6+x^5+x^4+x^3+x^2+x-1)/(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251746 7.22272 [x^7*(x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251747 6.72886 [x^6*(x^2+x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251748 6.29822 [x^5*(x^3+x^2+x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251749 5.89145 [x^4*(x^4+x^3+x^2+x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251750 5.50451 [x^3*(x^5+x^4+x^3+x^2+x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251751 5.20897 [x^2*(x^6+x^5+x^4+x^3+x^2+x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251752 4.99997 [x*(x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251754 9.63763 [-(9*x^8+8*x^7+3*x^6+6*x^5+2*x^4+3*x^3+3*x^2+5*x+3)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A251755 9.76871 [-x*(9*x^8+9*x^7+2*x^6+6*x^5+3*x^4+2*x^3+3*x^2+6*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A251759 6.74681 [x^8*(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251760 6.31844 [x^7*(x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251761 5.94122 [x^6*(x^3+x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251762 5.60651 [x^5*(x^4+x^3+x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251763 5.28257 [x^4*(x^5+x^4+x^3+x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251764 4.96779 [x^3*(x^6+x^5+x^4+x^3+x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251765 4.72838 [x^2*(x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251766 4.55116 [x*(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A251769 6.23833 [(x^4+6*x^3-776*x^2-222*x-17)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A251770 5.86278 [-9*(x^3+117*x^2+39*x+3)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A251772 3.50622 [-2*(4788*x^9-2592*x^8-864*x^7+4323*x^6-2610*x^5-1620*x^4-2566*x^3+630*x^2+336*x+235)/(x-1)/(4*x^3-1)/(9*x^6+12*x^3-1) ogf] A251780 10.5710 [-(9*x^8+6*x^7+4*x^6+6*x^5+6*x^4+7*x^3+3*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A251793 6.86118 [-2*x*(3*x^3+11*x^2+33*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A251861 11.8386 [676*f(x)*x^3-26*f(x)*x^2-26*f(x)*x+f(x)-650*x ogf] A251861 13.4603 [-(2028*x^2-52*x-26)/(676*x^3-26*x^2-26*x+1) lgdogf] A251861 19.2666 [650*x/(26*x-1)/(26*x^2-1) ogf] A251861 8.12065 [{-a(n+3)+26*a(n+2)+26*a(n+1)-676*a(n),a(0)=0,a(1)=650,a(2)=16900} ogf] A251863 5.83843 [(x^4+25*x^3-647*x^2-145*x-2)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A251864 6.35385 [-(35*x^3+717*x^2+205*x+3)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A251867 10.9079 [-2*x*(x+7)/(x-1)/(x^2-34*x+1) ogf] A251867 5.32091 [(63920976*f(x)-5190767)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+2*x^2-f(x)+14*x) ogf] A251867 5.64200 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=492} ogf] A251867 7.27191 [-(-2*x^3+14*x^2+490*x-246)/(-x^4+28*x^3+210*x^2-244*x+7) lgdogf] A251889 4.05134 [2*(484*x^11-220*x^10+28*x^9+303*x^8+3427*x^7-4875*x^6-326*x^5-2275*x^4+3729*x^3+23*x^2+339*x-640)/(x-1)/(2*x^3-1)/(4*x^3-1) ogf] A251890 5.20636 [2*(288*x^8+96*x^7-161*x^6-145*x^5+1821*x^4-2291*x^3+124*x^2-375*x+640)/(4*x^3-1)/(x-1) ogf] A251893 4.75732 [2*(4608*x^8-3264*x^7-326*x^6-2178*x^5+7492*x^4-7578*x^3+648*x^2-482*x+1073)/(2*x-1)/(x-1)/(4*x^2+2*x+1) ogf] A251895 6.48805 [2*x*(x^3+87*x^2-169*x-15)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A251896 6.37472 [-(3*x^4+246*x^3-676*x^2+42*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A251914 10.2906 [2*x*(x-49)/(x-1)/(x^2-98*x+1) ogf] A251914 5.27722 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=98,a(2)=9700} ogf] A251914 5.82486 [-f(x)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-2*x^2-f(x)+98*x) ogf] A251914 6.36531 [-(-2*x^3+246*x^2-9702*x+4850)/(-x^4+148*x^3-4950*x^2+4852*x-49) lgdogf] A251924 11.1440 [2*x*(x-17)/(x-1)/(x^2-34*x+1) ogf] A251924 5.71485 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=0,a(1)=34,a(2)=1188} ogf] A251924 6.30791 [-f(x)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-2*x^2-f(x)+34*x) ogf] A251924 7.26780 [-(2*x^3-86*x^2+1190*x-594)/(x^4-52*x^3+630*x^2-596*x+17) lgdogf] A251927 5.93981 [2*x*(x^5+4*x^4+34*x^3-721*x^2-34*x-4)/(x-1)/(x^6-1442*x^3+1) ogf] A251928 4.9057 [-(127*f(x)+2320)*(4*f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2+8*x^3-4*f(x)*x-8*x^2+f(x)+10*x-5) ogf] A251928 9.24536 [-(8*x^3-8*x^2+10*x-5)/(2*x-1)/(2*x^3-2*x^2+2*x-1) ogf] A251936 7.87628 [-(x^4-5*x^3+5*x^2-7*x+10)/(x-1)^5 ogf] A251936 8.04386 [-(x^4-6*x^3-18*x+43)/(x^5-6*x^4+10*x^3-12*x^2+17*x-10) lgdogf] A251937 3.94504 [-(x^10-3*x^9+26*x^8+78*x^7+121*x^6+72*x^5-38*x^4-128*x^3-122*x^2-61*x-18)/(x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A251963 11.1889 [2*x*(x-7)/(x-1)/(x^2-14*x+1) ogf] A251963 5.78734 [{-a(n+3)+15*a(n+2)-15*a(n+1)+a(n),a(0)=0,a(1)=14,a(2)=208} ogf] A251963 6.33332 [-f(x)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-2*x^2-f(x)+14*x) ogf] A251963 7.45924 [-(2*x^3-36*x^2+210*x-104)/(x^4-22*x^3+120*x^2-106*x+7) lgdogf] A251990 4.1634 [-(1679003860053660*f(x)+320964704411)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x-f(x)-4*x+52) ogf] A251990 4.52401 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=52,a(1)=10136,a(2)=1966380} ogf] A251990 5.92319 [-(-2*x^3+234*x^2-5070*x+2534)/(-x^4+208*x^3-2730*x^2+2536*x-13) lgdogf] A251990 9.90602 [4*(x-13)/(x-1)/(x^2-194*x+1) ogf] A251991 4.28768 [(3979861001612944*f(x)-944282475375)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x-f(x)+4*x+60) ogf] A251991 4.52401 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=60,a(1)=11704,a(2)=2270580} ogf] A251991 5.92319 [-(-2*x^3+150*x^2+5850*x-2926)/(-x^4+180*x^3+2730*x^2-2924*x+15) lgdogf] A251991 9.90602 [-4*(x+15)/(x-1)/(x^2-194*x+1) ogf] A252003 10.0198 [8*(5*x-29)/(x-1)/(x^2-1154*x+1) ogf] A252003 4.14151 [-(24798930283837297512*f(x)+1478509557150791)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x-f(x)-40*x+232) ogf] A252003 4.67089 [{-a(n+3)+1155*a(n+2)-1155*a(n+1)+a(n),a(0)=232,a(1)=267920,a(2)=309179640} ogf] A252004 3.48343 [(141708173050500561072*f(x)-12008712868199375)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x-f(x)+56*x+328) ogf] A252004 3.87630 [{a(n+3)-1155*a(n+2)+1155*a(n+1)-a(n),a(0)=328,a(1)=378896,a(2)=437246040} ogf] A252004 8.31529 [-8*(7*x+41)/(x-1)/(x^2-1154*x+1) ogf] A252011 4.21754 [-2*(32*x^11+96*x^10-96*x^9-96*x^8-208*x^7+96*x^6-3584*x^5-798*x^4+5650*x^3-84*x^2-192*x-809)/(2*x-1)/(x-1)/(4*x^2+2*x+1) ogf] A252069 3.60416 [(4*x^10+39*x^9-6*x^8-77*x^7-160*x^6-55*x^5+163*x^4+275*x^3-10*x^2+58*x-105)/(x-1)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A252076 4.48886 [(19475*f(x)+6561)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x-198*x^2-f(x)+486*x) ogf] A252076 4.48887 [{-a(n+3)+1443*a(n+2)-1443*a(n+1)+a(n),a(0)=0,a(1)=486,a(2)=701100} ogf] A252076 8.30776 [18*x*(11*x-27)/(x-1)/(x^2-1442*x+1) ogf] A252077 3.81131 [(204950911256090*f(x)-44322717146357)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x+313*x^2-f(x)-674*x+1) ogf] A252077 4.47679 [{-a(n+3)+1443*a(n+2)-1443*a(n+1)+a(n),a(0)=1,a(1)=769,a(2)=1108537} ogf] A252077 7.94472 [-(313*x^2-674*x+1)/(x-1)/(x^2-1442*x+1) ogf] A252108 4.13909 [(32*x^12+64*x^11+624*x^10+1480*x^9+3536*x^8+9316*x^7+13108*x^6-3556*x^5-7920*x^4-10990*x^3+724*x^2+1424*x+1929)/(2*x^3-1)/(4*x^3-1) ogf] A252109 4.77575 [2*(484*x^10+264*x^9+292*x^8+1091*x^7+5182*x^6-845*x^5-1543*x^4-4316*x^3+277*x^2+362*x+784)/(2*x^3-1)/(4*x^3-1) ogf] A252110 6.32549 [2*(288*x^7+384*x^6+223*x^5+190*x^4+2543*x^3-388*x^2-292*x-800)/(4*x^3-1) ogf] A252111 4.08294 [2*(2304*x^10+1152*x^9+3308*x^8-512*x^7+24288*x^6-4513*x^5-1980*x^4-10326*x^3+629*x^2+312*x+942)/(2*x-1)/(4*x^3-1)/(4*x^2+2*x+1) ogf] A252112 4.18020 [2*(7704*x^10+2160*x^9+2624*x^8-4507*x^7+25866*x^6-4887*x^5-1693*x^4-11019*x^3+817*x^2+394*x+1029)/(2*x-1)/(4*x^3-1)/(4*x^2+2*x+1) ogf] A252113 5.67539 [4*(2304*x^7+672*x^6+509*x^5-580*x^4+3814*x^3-619*x^2-295*x-617)/(2*x-1)/(4*x^2+2*x+1) ogf] A252115 5.55739 [(x^4+26*x^3-45652*x^2-26378*x-573)/(x-1)/(x^2-322*x+1)/(x^2+322*x+1) ogf] A252116 4.73213 [-(2*x^4+57*x^3-77605*x^2+58983*x+1283)/(x-1)/(x^2-322*x+1)/(x^2+322*x+1) ogf] A252133 3.54475 [(4*x^10+64*x^9+13*x^8-75*x^7-225*x^6-143*x^5+124*x^4+371*x^3+15*x^2+112*x-134)/(x-1)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A252178 7.41297 [-(x^4-6*x^3+6*x^2-30*x+49)/(x^5-6*x^4+12*x^3-18*x^2+23*x-12) lgdogf] A252178 7.79508 [-(x^4-5*x^3+7*x^2-11*x+12)/(x-1)^5 ogf] A252179 5.05318 [-(x^8-3*x^7-3*x^6+13*x^5+41*x^4+9*x^3-15*x^2-47*x-12)/(x+1)^3/(x-1)^6 ogf] A252221 4.34547 [2*(16*x^9+32*x^8+130*x^7-119*x^6-98*x^5-333*x^4-21*x^3+152*x^2-44*x+114)/(x-1)/(2*x^6+2*x^5+4*x^4+x^3+x-1) ogf] A252222 4.16260 [2*(3*x^8+115*x^7+127*x^6-337*x^5-1019*x^4-775*x^3+175*x^2-38*x+184)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A252223 4.10801 [2*(147*x^7-519*x^6-1188*x^5-1519*x^4-1568*x^3+590*x^2+315*x+406)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A252224 4.19377 [2*(1072*x^7+652*x^6-3717*x^5-8440*x^4-6532*x^3+1601*x^2+1699*x+721)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A252225 3.92946 [2*(4720*x^7+7145*x^6-11816*x^5-34933*x^4-22954*x^3+4758*x^2+7441*x+1229)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A252226 4.00063 [2*(13776*x^7+18124*x^6-37304*x^5-96634*x^4-62435*x^3+12570*x^2+28035*x+2369)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A252227 3.79097 [2*(39568*x^7+41864*x^6-117704*x^5-266116*x^4-172885*x^3+34482*x^2+95029*x+4961)/(x^3-2*x^2+x-1)/(x^3+3*x^2+2*x-1) ogf] A252236 5.16434 [2*(16*x^7+512*x^6-2384*x^5-1034*x^4-724*x^3+1087*x^2+429*x+171)/(16*x^3-1)/(2*x^3-1) ogf] A252239 4.57846 [4*(16384*x^6-338688*x^5-48384*x^4-11072*x^3+82971*x^2+10962*x+1177)/(256*x^3-1)/(4*x^3-1) ogf] A252242 3.85565 [8*(4194304*x^6-65482752*x^5-2691072*x^4-635904*x^3+8159283*x^2+321054*x+9353)/(16*x-1)/(2*x-1)/(4*x^2+2*x+1)/(256*x^2+16*x+1) ogf] A252249 5.49488 [(26*x^8+48*x^7-272*x^6-72*x^5-138*x^4+816*x^3+11*x^2+36*x-278)/(x-1)/(x^6-3*x^3+1) ogf] A252250 5.45535 [(34*x^8+96*x^7-346*x^6-96*x^5-282*x^4+1038*x^3+19*x^2+84*x-352)/(x-1)/(x^6-3*x^3+1) ogf] A252251 5.34009 [(38*x^8+173*x^7-457*x^6-108*x^5-513*x^4+1371*x^3+23*x^2+161*x-463)/(x-1)/(x^6-3*x^3+1) ogf] A252252 5.34009 [(56*x^8+269*x^7-610*x^6-162*x^5-801*x^4+1830*x^3+41*x^2+257*x-616)/(x-1)/(x^6-3*x^3+1) ogf] A252253 5.32800 [(86*x^8+422*x^7-841*x^6-252*x^5-1260*x^4+2523*x^3+71*x^2+410*x-847)/(x-1)/(x^6-3*x^3+1) ogf] A252258 3.93663 [(176*x^11+736*x^10+1360*x^9+4100*x^8+2376*x^7-11344*x^6-2936*x^5-1948*x^4+8036*x^3+454*x^2+315*x-1331)/(x-1)/(2*x^3-1)/(4*x^3-1) ogf] A252259 4.05482 [(968*x^11-440*x^10+376*x^9-34*x^8+4654*x^7-7470*x^6-172*x^5-2900*x^4+5608*x^3-34*x^2+403*x-965)/(x-1)/(2*x^3-1)/(4*x^3-1) ogf] A252262 5.39087 [(16*x^7+122*x^6+148*x^5+58*x^4-31*x^3-128*x^2-27*x-103)/(2*x^6+4*x^5+4*x^4+3*x^3+x-1) ogf] A252263 4.05007 [2*(7*x^8-16*x^7-52*x^6-79*x^5-26*x^4+72*x^3+145*x^2+71*x+65)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A252271 4.20899 [-(2*x^11-40*x^10-180*x^9+188*x^8+306*x^7+770*x^6-540*x^5-575*x^4-914*x^3+232*x^2+185*x+206)/(x-1)/(x^2+x+1)/(2*x^6-5*x^3+1) ogf] A252284 26.8793 [-(x+1)^2 lgdegf] A252284 4.37570 [{(n^2+5*n+6)*a(n+1)+(2*n+6)*a(n+2)+a(n+4)+a(n+3),a(0)=1,a(1)=-1,a(2)=-1,a(3)=3} ogf] A252336 5.86547 [-2*(4*x^6+34*x^5+66*x^4+74*x^3+63*x^2+28*x+26)/(2*x^6+4*x^5+4*x^4+3*x^3+x-1) ogf] A252337 4.07492 [-2*(2*x^8+31*x^7+68*x^6+73*x^5-10*x^4-124*x^3-163*x^2-80*x-54)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A252355 5.64289 [32*f(x)^3*x^3+13*x^2*f(x)^3+4*f(x)^3*x-6*f(x)*x-f(x)+1 ogf] A252359 3.71079 [-(187123751567748632208*f(x)+99082731315665681)*(f(x)*x^3-483*f(x)*x^2+483*f(x)*x-f(x)-62*x+158) ogf] A252359 4.31488 [{-a(n+3)+483*a(n+2)-483*a(n+1)+a(n),a(0)=158,a(1)=76252,a(2)=36753402} ogf] A252359 9.27700 [2*(31*x-79)/(x-1)/(x^2-482*x+1) ogf] A252360 3.61586 [-(1692018876250544710*f(x)+1873259664619371)*(f(x)*x^3-483*f(x)*x^2+483*f(x)*x+x^2-f(x)-370*x+289) ogf] A252360 4.33904 [{-a(n+3)+483*a(n+2)-483*a(n+1)+a(n),a(0)=289,a(1)=139217,a(2)=67102225} ogf] A252360 8.17500 [-(x^2-370*x+289)/(x-1)/(x^2-482*x+1) ogf] A252362 5.37475 [2*(16*x^7+102*x^6+134*x^5+76*x^4+7*x^3-65*x^2-11*x-65)/(2*x^6+4*x^5+4*x^4+3*x^3+x-1) ogf] A252363 4.11969 [2*(16*x^8-x^7-36*x^6-85*x^5-62*x^4+20*x^3+127*x^2+62*x+76)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A252379 4.55596 [(38*x^11+132*x^10+934*x^9-599*x^8-933*x^7-4086*x^6+1544*x^5+1789*x^4+4820*x^3-632*x^2-647*x-1359)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A252380 4.36100 [(14*x^11+189*x^10+1458*x^9-534*x^8-1211*x^7-6249*x^6+1555*x^5+2168*x^4+7120*x^3-663*x^2-771*x-1966)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A252381 4.45981 [(6*x^11+256*x^10+2288*x^9-710*x^8-1646*x^7-9747*x^6+2185*x^5+2963*x^4+10989*x^3-963*x^2-1067*x-3020)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A252382 4.30965 [(8*x^11+344*x^10+3705*x^9-975*x^8-2244*x^7-15606*x^6+3008*x^5+4090*x^4+17253*x^3-1341*x^2-1496*x-4682)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A252383 4.32040 [(14*x^11+493*x^10+5846*x^9-1204*x^8-3073*x^7-24411*x^6+3671*x^5+5402*x^4+26556*x^3-1610*x^2-1928*x-7109)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A252389 4.03443 [(2*x^13-x^12+x^11+86*x^10+427*x^9-411*x^8-608*x^7-1786*x^6+1302*x^5+1243*x^4+2224*x^3-799*x^2-637*x-785)/(x-1)/(x^2+x+1)/(x^6-3*x^3+1) ogf] A252424 11.9521 [-18*(5*x^4+4*x^3+2*x^2+2*x+1)/(2*x^2-1) ogf] A252424 7.27518 [{a(n+5)-2*a(n+3),a(0)=18,a(1)=36,a(2)=72,a(3)=144,a(4)=234} ogf] A252424 8.12277 [(1145*f(x)-11637)*(90*x^4+2*f(x)*x^2+72*x^3+36*x^2-f(x)+36*x+18) ogf] A252424 8.36646 [-(-20*x^5-8*x^4+20*x^3+16*x^2+8*x+2)/(10*x^6+8*x^5-x^4-2*x-1) lgdogf] A252480 7.18419 [-(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-100)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A252526 5.36304 [(144*x^9+224*x^8+952*x^7+4628*x^6-1040*x^5-1346*x^4-3954*x^3+334*x^2+337*x+730)/(2*x^3-1)/(4*x^3-1) ogf] A252527 6.27591 [(288*x^7+3640*x^6-1048*x^5-932*x^4-3116*x^3+466*x^2+341*x+621)/(2*x^3-1)/(4*x^3-1) ogf] A252528 5.01297 [(855751397498154*f(x)-430789169672238979)*(4*f(x)*x^3-172*x^4-2086*x^3+626*x^2-f(x)+462*x+719) ogf] A252528 5.60273 [{a(n+5)-4*a(n+2),a(0)=719,a(1)=462,a(2)=626,a(3)=790,a(4)=1676} ogf] A252528 8.77270 [(172*x^4+2086*x^3-626*x^2-462*x-719)/(4*x^3-1) ogf] A252529 5.38529 [2*(152*x^7+8256*x^6-3152*x^5-2026*x^4-3872*x^3+560*x^2+353*x+389)/(2*x-1)/(4*x^3-1)/(4*x^2+2*x+1) ogf] A252530 5.52809 [4*(64*x^7+4800*x^6-1984*x^5-1204*x^4-2186*x^3+440*x^2+250*x+233)/(2*x-1)/(4*x^3-1)/(4*x^2+2*x+1) ogf] A252531 4.66504 [(4611077335693237*f(x)-3707032049579298481)*(8*f(x)*x^3-288*x^4-6440*x^3+2404*x^2-f(x)+1468*x+1200) ogf] A252531 5.19174 [{a(n+5)-8*a(n+2),a(0)=1200,a(1)=1468,a(2)=2404,a(3)=3160,a(4)=11456} ogf] A252531 8.14906 [4*(72*x^4+1610*x^3-601*x^2-367*x-300)/(2*x-1)/(4*x^2+2*x+1) ogf] A252534 5.38834 [(128*x^9+208*x^8+880*x^7+3456*x^6-1046*x^5-1316*x^4-3108*x^3+341*x^2+337*x+595)/(2*x^3-1)/(4*x^3-1) ogf] A252535 6.27591 [2*(128*x^7+1164*x^6-518*x^5-442*x^4-1067*x^3+233*x^2+167*x+230)/(2*x^3-1)/(4*x^3-1) ogf] A252536 5.34845 [(74403150713162*f(x)-24442541896787151)*(4*f(x)*x^3-112*x^4-1350*x^3+610*x^2-f(x)+426*x+535) ogf] A252536 5.88779 [{a(n+5)-4*a(n+2),a(0)=535,a(1)=426,a(2)=610,a(3)=790,a(4)=1592} ogf] A252536 9.21904 [(112*x^4+1350*x^3-610*x^2-426*x-535)/(4*x^3-1) ogf] A252537 5.43017 [-2*(136*x^7-4408*x^6+3092*x^5+1846*x^4+2438*x^3-557*x^2-338*x-273)/(2*x-1)/(4*x^3-1)/(4*x^2+2*x+1) ogf] A252538 5.59308 [-(128*x^7-9952*x^6+7792*x^5+4432*x^4+5284*x^3-1748*x^2-964*x-649)/(2*x-1)/(4*x^3-1)/(4*x^2+2*x+1) ogf] A252539 5.05484 [(2385104150937741*f(x)-1020786776033366722)*(8*f(x)*x^3-32*x^4-3424*x^3+2332*x^2-f(x)+1344*x+823) ogf] A252539 5.58910 [{a(n+5)-8*a(n+2),a(0)=823,a(1)=1344,a(2)=2332,a(3)=3160,a(4)=10720} ogf] A252539 8.92804 [(32*x^4+3424*x^3-2332*x^2-1344*x-823)/(2*x-1)/(4*x^2+2*x+1) ogf] A252543 5.12130 [2*(160*x^7+2752*x^6-2352*x^5-1098*x^4-1980*x^3+1071*x^2+425*x+239)/(16*x^3-1)/(2*x^3-1) ogf] A252585 6.82408 [(11*x^3+63*x^2-231*x-3)/(x-1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A252586 6.24973 [-(x^4+11*x^3-413*x^2+253*x+4)/(x-1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A252630 3.82353 [-(1450479444378328774080*f(x)+3588267144165818107)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x-3*x^2-f(x)+353*x+50) ogf] A252630 4.84715 [{-a(n+3)+323*a(n+2)-323*a(n+1)+a(n),a(0)=50,a(1)=16503,a(2)=5314316} ogf] A252630 9.05276 [(3*x^2-353*x-50)/(x^2-322*x+1)/(x-1) ogf] A252631 4.34616 [(906549641903718*f(x)-7876181823071)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+4*x^2-f(x)-192*x+92) ogf] A252631 4.92794 [{-a(n+3)+323*a(n+2)-323*a(n+1)+a(n),a(0)=92,a(1)=29524,a(2)=9506540} ogf] A252631 9.20365 [-4*(x^2-48*x+23)/(x^2-322*x+1)/(x-1) ogf] A252650 9.67832 [-(-4*x^5-2*x^4-4*x^3-4*x^2-4*x-2)/(x^6-1) ogf_with_Euler_transform] A252651 10.4659 [-(-4*x^5-2*x^4-4*x^3-4*x-2)/(x^6-1) ogf_with_Euler_transform] A252690 3.94005 [(608*x^9-1192*x^8-1444*x^7+2930*x^6-173*x^5-63*x^4-1315*x^3+386*x^2+388*x-148)/(2*x-1)/(x-1)/(2*x^2-1)/(x^2+x-1)/(2*x^3-1) ogf] A252692 3.67744 [(4256*x^9-6600*x^8-9396*x^7+16566*x^6-1663*x^5+1127*x^4-7927*x^3+2483*x^2+1781*x-707)/(2*x-1)/(x-1)/(2*x^2-1)/(x^2+x-1)/(2*x^3-1) ogf] A252706 11.3742 [-(2*x^4+x^3+x+2)/(-x^6+1) ogf_with_Euler_transform] A252712 3.78484 [(12*x^10+84*x^9-436*x^8+11*x^7+365*x^6+234*x^5-24*x^4-249*x^3-30*x^2+6*x+39)/(x+1)/(3*x^3-1)/(4*x^3-1)/(x-1)^2 ogf] A252713 5.33302 [2*(36*x^8+84*x^7-275*x^6+9*x^5-34*x^4+172*x^3-5*x^2+3*x-26)/(x-1)/(3*x^3-1)/(4*x^3-1) ogf] A252714 8.51707 [(15*x^5+99*x^4-192*x^3+12*x^2-20*x+70)/(3*x^3-1)/(x-1) ogf] A252715 4.19333 [(24*x^11+138*x^10-262*x^9-64*x^8-447*x^7+877*x^6+x^5+236*x^4-549*x^3+7*x^2-33*x+96)/(x-1)/(3*x^3-1)/(x^6-3*x^3+1) ogf] A252716 3.90415 [(24*x^11+219*x^10-367*x^9-51*x^8-715*x^7+1208*x^6-35*x^5+395*x^4-748*x^3+17*x^2-60*x+129)/(x-1)/(3*x^3-1)/(x^6-3*x^3+1) ogf] A252717 5.40125 [(8*x^8+107*x^7-171*x^6-14*x^5-311*x^4+503*x^3-19*x^2+84*x-175)/(x-1)/(x^6-3*x^3+1) ogf] A252721 7.41982 [(2*x^7+4*x^6+18*x^5-73*x^4-73*x^3+5*x^2+46*x+45)/(x-1)/(x+1)/(2*x^3-1) ogf] A252722 8.46940 [2*(12*x^5-44*x^4-47*x^3+4*x^2+28*x+27)/(x-1)/(x+1)/(2*x^3-1) ogf] A252723 6.25843 [(42*x^7-78*x^6-224*x^5-271*x^4-75*x^3+156*x^2+160*x+84)/(x-1)/(x+1)/(2*x^3-1)/(x^2+x+1) ogf] A252724 5.59967 [(2*x^8+42*x^7-138*x^6-325*x^5-357*x^4-79*x^3+221*x^2+213*x+111)/(x-1)/(x+1)/(2*x^3-1)/(x^2+x+1) ogf] A252725 5.61236 [(8*x^8+86*x^7-182*x^6-496*x^5-565*x^4-147*x^3+324*x^2+319*x+165)/(x-1)/(x+1)/(2*x^3-1)/(x^2+x+1) ogf] A252726 5.39214 [(16*x^8+144*x^7-232*x^6-720*x^5-886*x^4-290*x^3+444*x^2+477*x+257)/(x-1)/(x+1)/(2*x^3-1)/(x^2+x+1) ogf] A252747 8.07104 [-2*(x^4-26*x^2+12*x+9)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A252762 4.18429 [-(10856742611160992*f(x)+680403635358327)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x-15*x^2-f(x)+268*x+3) ogf] A252762 5.17084 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=3,a(1)=853,a(2)=165735} ogf] A252762 9.35313 [(15*x^2-268*x-3)/(x-1)/(x^2-194*x+1) ogf] A252763 4.68528 [(279550725951*f(x)-33213235030)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+24*x^2-f(x)-80*x+8) ogf] A252763 5.21427 [{-a(n+3)+195*a(n+2)-195*a(n+1)+a(n),a(0)=8,a(1)=1480,a(2)=287064} ogf] A252763 5.67167 [-(-3*x^4+20*x^3-1368*x^2+384*x-185)/(-3*x^5+595*x^4-2536*x^3+2148*x^2-205*x+1) lgdogf] A252763 9.65030 [-8*(3*x^2-10*x+1)/(x-1)/(x^2-194*x+1) ogf] A252769 11.5448 [2*(7*x-47)/(x-1)/(x^2-62*x+1) ogf] A252769 4.80333 [-(233705092080910*f(x)+1424511855159)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x-f(x)-14*x+94) ogf] A252769 5.35005 [{-a(n+3)+63*a(n+2)-63*a(n+1)+a(n),a(0)=94,a(1)=5908,a(2)=366282} ogf] A252769 6.71486 [-(-14*x^3+582*x^2-5922*x+2954)/(-7*x^4+488*x^3-3402*x^2+2968*x-47) lgdogf] A252770 4.4412 [-(6360517291300032*f(x)+244941303830975)*(f(x)*x^3-63*f(x)*x^2+63*f(x)*x+3*x^2-f(x)-169*x+148) ogf] A252770 5.37242 [{-a(n+3)+63*a(n+2)-63*a(n+1)+a(n),a(0)=148,a(1)=9155,a(2)=567444} ogf] A252770 9.94298 [-(3*x^2-169*x+148)/(x-1)/(x^2-62*x+1) ogf] A252778 3.43991 [6*x^2*(11*x^7+92*x^6+2829*x^5+13850*x^4+26045*x^3+15504*x^2+2123*x+26)/(x-1)^10 ogf] A252779 3.43991 [36*x^2*(x^7+18*x^6+481*x^5+2280*x^4+4355*x^3+2594*x^2+347*x+4)/(x-1)^10 ogf] A252814 7.86710 [-(x^4-6*x^3+6*x^2-2*x+6)/(x^5-6*x^4+12*x^3-11*x^2+6*x-2) lgdogf] A252814 8.11554 [-(x^4-5*x^3+7*x^2-4*x+2)/(x-1)^5 ogf] A252815 5.76323 [-(2*x^6-11*x^5+27*x^4-37*x^3+28*x^2-11*x+4)/(x-1)^7 ogf] A252816 3.82727 [-(2*x^8-18*x^7+67*x^6-138*x^5+176*x^4-147*x^3+79*x^2-23*x+7)/(x-1)^9 ogf] A252822 5.83511 [-(x^6-4*x^5+9*x^4-17*x^3+18*x^2-8*x+2)/(x-1)^7 ogf] A252823 3.63034 [(3*x^8-23*x^7+75*x^6-137*x^5+163*x^4-140*x^3+81*x^2-22*x+4)/(x-1)^10 ogf] A252831 8.97068 [-(2*x^5+26*x^4+30*x^3+17*x^2+x+4)/(x-1)^3 ogf] A252832 6.79391 [-(5*x^7+45*x^6+295*x^5+347*x^4+192*x^3+61*x^2+8*x+7)/(x-1)^3 ogf] A252833 5.16387 [-(15*x^9+170*x^8+865*x^7+3884*x^6+4458*x^5+2457*x^4+758*x^3+162*x^2+20*x+11)/(x-1)^3 ogf] A252834 4.08526 [-(50*x^11+676*x^10+4171*x^9+15495*x^8+54521*x^7+60328*x^6+32656*x^5+9935*x^4+2017*x^3+322*x^2+37*x+16)/(x-1)^3 ogf] A252854 4.22347 [-(206*f(x)+5157)*(f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+54*x^3+4*f(x)*x-81*x^2-f(x)-189*x+117) ogf] A252854 7.73453 [-9*(6*x^3-9*x^2-21*x+13)/(x^2-3*x+1)/(x^2+x-1) ogf] A252855 3.95501 [-9*(52*x^8+92*x^7+26*x^6-69*x^5-123*x^4-79*x^3+3*x^2+17*x+31)/(x-1)/(x^2+x+1)/(2*x^6+2*x^5-2*x^4-2*x^3-x^2-x+1) ogf] A252856 4.22267 [9*(2*x^9+20*x^8-95*x^7+86*x^6-35*x^5+38*x^4+48*x^3+31*x^2+70*x-76)/(x-1)/(x^2+x+1)/(x^5-2*x^4+x^3-2*x+1) ogf] A252863 13.8984 [-(4*x-1)/(16*x^2-20*x+1) ogf] A252863 6.94919 [-(345*f(x)-89)*(16*f(x)*x^2-20*f(x)*x+f(x)+4*x-1) ogf] A252863 7.68499 [{a(n+2)-20*a(n+1)+16*a(n),a(0)=1,a(1)=16} ogf] A252863 9.33177 [-(-64*x^2+32*x-16)/(-64*x^3+96*x^2-24*x+1) lgdogf] A252864 3.88190 [(x-1)*(x^2+x+1)*(x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x^2+1)/(x^3+x-1) ogf] A252870 4.27260 [{(20*n^2+106*n+132)*a(n+1)+(-49*n^2-239*n-270)*a(n+2)+(29*n^2+97*n+78)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A252870 8.73301 [-x*(x^3-4*x^2+3*x+1)/(x-1)^5 ogf] A252870 9.93380 [-(2*x^3-9*x^2+4*x+8)/(x^4-5*x^3+7*x^2-2*x-1) lgdogf] A252871 5.79712 [-(2*x^6-10*x^5+21*x^4-22*x^3+9*x^2+x+1)/(x-1)^7 ogf] A252872 3.87151 [-(2*x^8-17*x^7+59*x^6-110*x^5+120*x^4-78*x^3+27*x^2-x+3)/(x-1)^9 ogf] A252924 4.72809 [x^3*(x^5-3*x^4-3*x^3+15*x^2-10*x-1)/(x-1)^9 ogf] A252932 8.52805 [(x^5+7*x^4+4*x^3+5*x^2-3*x+2)/(x-1)^4 ogf] A252933 6.26331 [(4*x^7+40*x^6+122*x^5+98*x^4+39*x^3+16*x^2-3*x+4)/(x-1)^4 ogf] A252934 5.16126 [(20*x^9+293*x^8+1331*x^7+2849*x^6+2340*x^5+1013*x^4+271*x^3+65*x^2+2*x+8)/(x-1)^4 ogf] A252935 3.63480 [(128*x^11+2477*x^10+15733*x^9+49399*x^8+86878*x^7+70316*x^6+31149*x^5+8341*x^4+1529*x^3+252*x^2+23*x+15)/(x-1)^4 ogf] A252940 11.1045 [(9*x^14-8*x^13+15*x^12-16*x^11-1)/(x-1) ogf] A252945 4.81813 [-9*(24*x^5-32*x^4+6*x^3+30*x^2-49*x+22)/(x-1)/(4*x^5-2*x^4+4*x^2-5*x+1) ogf] A252956 3.67259 [(420*x^9+4830*x^8-16334*x^7+14137*x^6-91*x^5-2981*x^4-386*x^3-85*x^2+737*x-223)/(2*x-1)/(3*x^2-1)/(7*x^3-1)/(x-1)^2 ogf] A252970 4.17108 [{(8*n^2+46*n+66)*a(n+1)+(-19*n^2-79*n-52)*a(n+2)+(11*n^2+15*n+4)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A252970 6.60729 [-x^2*(3*x^3-9*x^2+6*x+1)/(x-1)^7 ogf] A252970 8.68167 [-(12*x^3-36*x^2+18*x+13)/(3*x^4-12*x^3+15*x^2-5*x-1) lgdogf] A252971 3.54265 [x*(2*x^8-14*x^7+43*x^6-78*x^5+94*x^4-70*x^3+18*x^2+8*x+1)/(x-1)^10 ogf] A252978 7.73247 [-(48*x^6+151*x^5+169*x^4+32*x^3+x^2-2*x+1)/(x-1)^3 ogf] A252979 5.91875 [-(730*x^8+3476*x^7+6117*x^6+4917*x^5+1129*x^4+5*x^3+3*x^2+4*x+3)/(x-1)^3 ogf] A252980 4.20335 [-(17856*x^10+116199*x^9+298886*x^8+379211*x^7+243514*x^6+57041*x^5+1673*x^4+566*x^3+161*x^2+23*x+6)/(x-1)^3 ogf] A252985 6.55602 [(68*x^3+151*x^2-578*x-1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A252986 6.04689 [-(x^4+85*x^3-1251*x^2+731*x+2)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A252994 11.0913 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=26} ogf] A252994 15.1581 [-f(x)*x^2+2*f(x)*x-f(x)+26*x ogf] A252994 23.9339 [26*x/(x-1)^2 ogf] A252994 32.4817 [2/(-x+1) lgdogf] A252994 69.6328 [[2] ogf_with_Euler_transform] A252999 7.35711 [-(224*x^3+634*x^2+388*x+34)/(28*x^5+84*x^4+37*x^3-119*x^2-29*x-1) lgdogf] A252999 7.50574 [x^3*(28*x^4+112*x^3+149*x^2+30*x+1)/(x-1)^4 ogf] A253000 5.28686 [(183*x^9+1154*x^8+2810*x^7+3118*x^6+859*x^5+68*x^4-x^3+3*x^2-3*x+1)/(x-1)^4 ogf] A253001 4.05195 [(1453*x^11+12629*x^10+45975*x^9+87826*x^8+87677*x^7+27642*x^6+3088*x^5-55*x^4+x^3+2*x^2-2*x+4)/(x-1)^4 ogf] A253006 6.24591 [x^3*(4*x^6+44*x^5+385*x^4+694*x^3+422*x^2+50*x+1)/(x-1)^4 ogf] A253007 3.92790 [(25*x^12+375*x^11+2605*x^10+17119*x^9+42525*x^8+44788*x^7+20582*x^6+2930*x^5+123*x^4-x^3+3*x^2-3*x+1)/(x-1)^4 ogf] A253012 18.2130 [-x^9+x^4+x^3+x^2+1 ogf_with_Euler_transform] A253012 7.55011 [-(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A253017 5.05478 [-(112*x^8-16*x^7-80*x^6+200*x^5+73*x^4+45*x^3-133*x^2-50*x-25)/(4*x^3-1)^2 ogf] A253018 11.3038 [(6*x^4+12*x^3-51*x^2-37*x-25)/(3*x^3-1) ogf] A253018 6.84175 [{a(n+5)-3*a(n+2),a(0)=25,a(1)=37,a(2)=51,a(3)=63,a(4)=105} ogf] A253018 7.42817 [-(1076*f(x)-3759)*(3*f(x)*x^3-6*x^4-12*x^3+51*x^2-f(x)+37*x+25) ogf] A253019 5.32800 [(3*x^10+6*x^9-87*x^8-59*x^7-67*x^6+275*x^5+167*x^4+131*x^3-83*x^2-50*x-37)/(3*x^3-1)/(x^6-3*x^3+1) ogf] A253020 3.82616 [(9*x^14+6*x^13+x^12-103*x^11-65*x^10-15*x^9+106*x^8+66*x^7-8*x^6+315*x^5+196*x^4+135*x^3-133*x^2-83*x-51)/(x^6-3*x^3+1)/(x^6+2*x^3-1) ogf] A253021 4.90630 [(2*x^11+5*x^10+4*x^9-56*x^8-53*x^7-33*x^6-64*x^5-43*x^4-34*x^3+120*x^2+91*x+63)/(x-1)/(x^2+x+1)/(x^6+2*x^3-1) ogf] A253029 11.0896 [-27*(6*x+11)/(3*x^2+5*x-1) ogf] A253029 5.78074 [(371*f(x)-9720)*(3*f(x)*x^2+5*f(x)*x-f(x)+162*x+297) ogf] A253029 6.24586 [{a(n+2)-5*a(n+1)-3*a(n),a(0)=297,a(1)=1647} ogf] A253029 7.65338 [-(-18*x^2-66*x-61)/(-18*x^3-63*x^2-49*x+11) lgdogf] A253030 4.27065 [-27*(1280*x^5+784*x^4-1268*x^3-244*x^2-68*x+61)/(160*x^6+80*x^5-174*x^4-10*x^3-5*x^2+9*x-1) ogf] A253045 3.85388 [-(85967115264*f(x)+14617013404483271)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-53947*x^3-4*f(x)*x+152471*x^2+f(x)-144095*x+45523) ogf] A253045 7.50493 [(53947*x^3-152471*x^2+144095*x-45523)/(x-1)^4 ogf] A253062 7.15627 [-x*(x^8-x^7+x^6-x^5+x^4+x^3-x^2-x-1)/(3*x^3-1)/(x-1) ogf] A253067 7.78515 [-(2*x+1)*(4*x^3+3*x^2+2*x+1)/(8*x^5+6*x^4+13*x^3+5*x^2+x-1) ogf] A253068 11.0640 [-(-32*x^4-48*x^3-18*x^2+20*x+6)/(-32*x^5+22*x^3+11*x^2-1) lgdogf] A253068 16.5052 [(4*x^2+3*x+1)/(x-1)/(2*x+1)/(4*x-1) ogf] A253068 8.83177 [(57*f(x)-134)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x-4*x^2+f(x)-3*x-1) ogf] A253068 8.90991 [{a(n+3)-3*a(n+2)-6*a(n+1)+8*a(n),a(0)=1,a(1)=6,a(2)=28} ogf] A253070 6.98175 [-(2*x+1)*(2*x^5+x^3-x^2+x+1)/(8*x^7-8*x^6+10*x^5-6*x^4-x^3+3*x^2+3*x-1) ogf] A253072 7.89334 [-(8*x^4-28*x^3+16*x^2-x-1)/(8*x^5-44*x^4+24*x^3+5*x^2-6*x+1) ogf] A253093 4.64162 [{(-9*n^2+9*n)*a(n)+(10*n^2+20*n+6)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=-2} ogf] A253094 4.25051 [{(9*n^2-18*n)*a(n+1)+(-10*n^2-30*n-5)*a(n+2)+(n^2+8*n+15)*a(n+3),a(0)=1,a(1)=-5,a(2)=6} ogf] A253095 3.52267 [{(64*n^3+576*n^2+1664*n+1536)*a(n+1)+(-20*n^3-270*n^2-1186*n-1692)*a(n+2)+(n^3+18*n^2+107*n+210)*a(n+3),a(0)=1,a(1)=4,a(2)=22} ogf] A253101 13.8414 [-(4*x^3-3*x^2+1)/(2*x-1)/(x^2-4*x+1) ogf] A253101 6.71413 [{a(n+4)-6*a(n+3)+9*a(n+2)-2*a(n+1),a(0)=1,a(1)=6,a(2)=24,a(3)=96} ogf] A253101 7.82344 [(f(x)-1)*(2*f(x)*x^3-9*f(x)*x^2+4*x^3+6*f(x)*x-3*x^2-f(x)+1) ogf] A253101 8.10535 [-(-30*x^4+48*x^3-36*x^2+24*x-6)/(-8*x^6+42*x^5-51*x^4+20*x^3+6*x^2-6*x+1) lgdogf] A253103 4.85735 [-(14902137*f(x)-14239096)*(64*f(x)*x^4+40*f(x)*x^3-30*f(x)*x^2+64*x^3-5*f(x)*x+40*x^2+f(x)-22*x-1) ogf] A253103 9.42208 [-(64*x^3+40*x^2-22*x-1)/(4*x+1)/(8*x-1)/(2*x-1)/(x+1) ogf] A253105 6.06979 [-(4*x^6-8*x^5-x^4-6*x^3-4*x-1)/(8*x^7-8*x^6-12*x^5+29*x^4-6*x^3-4*x+1) ogf] A253120 10.1239 [(5*x^2-111*x-6)/(x-1)/(x^2-98*x+1) ogf] A253120 4.50723 [-(529542399683040*f(x)+14480763733999)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-5*x^2-f(x)+111*x+6) ogf] A253120 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=6,a(1)=705,a(2)=69196} ogf] A253120 5.52988 [-(5*x^4-222*x^3+10476*x^2+1198*x-705)/(5*x^5-606*x^4+11478*x^3-10400*x^2-483*x+6) lgdogf] A253121 4.37274 [(783599407845*f(x)-70665565291)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+10*x^2-f(x)-52*x+18) ogf] A253121 4.87046 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=18,a(1)=1730,a(2)=169498} ogf] A253121 9.07677 [-2*(5*x^2-26*x+9)/(x-1)/(x^2-98*x+1) ogf] A253122 11.6313 [-4*(4*x^2-x-1)/(2*x-1)/(2*x^2-1) ogf] A253122 6.27076 [(27*f(x)+536)*(4*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+16*x^2+f(x)-4*x-4) ogf] A253122 6.32577 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=4,a(1)=12,a(2)=16} ogf] A253122 7.21138 [-(-16*x^4+8*x^3+2*x^2+4*x-3)/(-16*x^5+12*x^4+10*x^3-8*x^2-x+1) lgdogf] A253130 7.58863 [-(x^4-6*x^3+6*x^2-14*x+53)/(x^5-6*x^4+12*x^3-14*x^2+19*x-12) lgdogf] A253130 8.06292 [-(x-3)*(x^3-2*x^2+x-4)/(x-1)^5 ogf] A253131 6.14927 [-(x^6-4*x^5-12*x^4+27*x^2+42*x+16)/(x+1)^2/(x-1)^5 ogf] A253136 16.4994 [-(2*x^10+x^9+x^7+2*x^4+x^3+2*x)/(x^12-1) ogf_with_Euler_transform] A253144 25.6656 [-(-x^9-x^6-1)/(-x^12+1) ogf_with_Euler_transform] A253145 11.5555 [-x*(x^2-3*x+3)/(x-1)^3 ogf] A253145 11.7361 [-(-x^2+4*x-6)/(-x^3+4*x^2-6*x+3) lgdogf] A253145 5.69021 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=3,a(2)=6,a(3)=10} ogf] A253145 6.76674 [-f(x)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-3*x^2-f(x)+3*x) ogf] A253150 4.31563 [-2*(35*x^8-824*x^7+6371*x^6-22148*x^5+38512*x^4-34324*x^3+15361*x^2-3160*x+225)/(x-1)/(x^2-5*x+1)/(x^2-3*x+1)/(x^4-15*x^3+32*x^2-15*x+1) ogf] A253151 4.21348 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=16,a(1)=72,a(2)=94,a(3)=164,a(4)=308} ogf] A253151 4.27781 [-(1500718*f(x)+104970881)*(-4*x^4+2*f(x)*x^2-26*x^3-3*f(x)*x+90*x^2+f(x)-24*x-16) ogf] A253151 7.67662 [2*(2*x^4+13*x^3-45*x^2+12*x+8)/(2*x-1)/(x-1) ogf] A253152 5.59725 [-(795590*f(x)-1082971)*(8*x^4+2*f(x)*x^2+20*x^3-3*f(x)*x+16*x^2+f(x)+9*x-16) ogf] A253152 9.87293 [-(8*x^4+20*x^3+16*x^2+9*x-16)/(2*x-1)/(x-1) ogf] A253153 11.1070 [(8*x^4-50*x^2-45*x+39)/(2*x-1)/(x-1) ogf] A253153 5.34474 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=39,a(1)=72,a(2)=88,a(3)=120,a(4)=192} ogf] A253153 6.46228 [(235*f(x)+23003)*(-8*x^4+2*f(x)*x^2-3*f(x)*x+50*x^2+f(x)+45*x-39) ogf] A253154 5.30485 [-(80479004*f(x)+5394423771)*(-2*x^4+2*f(x)*x^2-23*x^3-3*f(x)*x+32*x^2+f(x)+119*x-69) ogf] A253154 5.34474 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=69,a(1)=88,a(2)=94,a(3)=129,a(4)=201} ogf] A253154 9.60609 [(2*x^4+23*x^3-32*x^2-119*x+69)/(2*x-1)/(x-1) ogf] A253155 5.34114 [-(85015484*f(x)+2328319833)*(-2*x^4+2*f(x)*x^2-17*x^3-3*f(x)*x+13*x^2+f(x)+207*x-109) ogf] A253155 9.61405 [(2*x^4+17*x^3-13*x^2-207*x+109)/(2*x-1)/(x-1) ogf] A253156 5.30187 [-(270141884*f(x)+6147570201)*(-2*x^4+2*f(x)*x^2-17*x^3-3*f(x)*x+13*x^2+f(x)+351*x-181) ogf] A253156 9.61405 [(2*x^4+17*x^3-13*x^2-351*x+181)/(2*x-1)/(x-1) ogf] A253157 5.46253 [-(1651292*f(x)+22259121)*(-2*x^4+2*f(x)*x^2-17*x^3-3*f(x)*x+13*x^2+f(x)+639*x-325) ogf] A253157 9.61405 [(2*x^4+17*x^3-13*x^2-639*x+325)/(2*x-1)/(x-1) ogf] A253158 5.21191 [-(3567705884*f(x)-18136751871)*(-2*x^4+2*f(x)*x^2-17*x^3-3*f(x)*x+13*x^2+f(x)+1215*x-613) ogf] A253158 9.53232 [(2*x^4+17*x^3-13*x^2-1215*x+613)/(2*x-1)/(x-1) ogf] A253167 5.96767 [(x^4+150*x^3-816*x^2-870*x-1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A253168 5.88204 [-2*(x^4+105*x^3-915*x^2+615*x+2)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A253171 5.98645 [-(x^6-7*x^5+21*x^4-33*x^3+39*x^2-9*x+3)/(x-1)^7 ogf] A253175 11.3565 [-(x^2-4*x+1)/(x^2-10*x+1)/(x-1) ogf] A253175 6.16778 [(1089*f(x)-8)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+x^2-f(x)-4*x+1) ogf] A253175 6.22141 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=67} ogf] A253175 7.01433 [-(-x^4+8*x^3-36*x^2+20*x-7)/(-x^5+15*x^4-56*x^3+56*x^2-15*x+1) lgdogf] A253185 7.34613 [-(10*x^24+4*x^23-8*x^22-4*x-8)/(-x^25+x^23+2*x^2-2) ogf_with_Euler_transform] A253186 9.86608 [x^2*(x^3-x-1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A253195 10.0882 [-(-x^3-7*x^2-20*x-8)/(-x^4-3*x^3-4*x^2+3*x+5) lgdogf] A253195 13.3958 [(x^2+3*x+5)/(x+1)/(x-1)^2 ogf] A253195 6.98416 [-(9*f(x)+715)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-3*x-5) ogf] A253195 7.23138 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=8,a(2)=14} ogf] A253197 12.1659 [x*(x^3+2*x+1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A253198 10.7765 [-x*(2*x^3-x^2-x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A253207 3.98480 [-(2*x^8-18*x^7+72*x^6-168*x^5+254*x^4-232*x^3+224*x^2-40*x+11)/(x-1)^9 ogf] A253208 10.4030 [-(-52*x^2+32*x-7)/(-52*x^3+81*x^2-33*x+4) lgdogf] A253208 15.6046 [-(13*x-4)/(4*x-1)/(x-1) ogf] A253208 7.88801 [-(3*f(x)+37)*(4*f(x)*x^2-5*f(x)*x+f(x)+13*x-4) ogf] A253208 8.75378 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=4,a(1)=7} ogf] A253209 10.1796 [-(-186*x^2+72*x-11)/(-186*x^3+253*x^2-73*x+6) lgdogf] A253209 16.1546 [-(31*x-6)/(6*x-1)/(x-1) ogf] A253209 8.16607 [-(5*f(x)+91)*(6*f(x)*x^2-7*f(x)*x+f(x)+31*x-6) ogf] A253209 8.95314 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=6,a(1)=11} ogf] A253210 15.5896 [-(43*x-7)/(7*x-1)/(x-1) ogf] A253210 7.7948 [-(6*f(x)+127)*(7*f(x)*x^2-8*f(x)*x+f(x)+43*x-7) ogf] A253210 8.64001 [{a(n+2)-8*a(n+1)+7*a(n),a(0)=7,a(1)=13} ogf] A253210 9.82358 [-(-301*x^2+98*x-13)/(-301*x^3+393*x^2-99*x+7) lgdogf] A253211 14.9579 [-(57*x-8)/(8*x-1)/(x-1) ogf] A253211 7.47894 [-(7*f(x)+169)*(8*f(x)*x^2-9*f(x)*x+f(x)+57*x-8) ogf] A253211 8.28990 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=8,a(1)=15} ogf] A253211 9.17416 [-(-456*x^2+128*x-15)/(-456*x^3+577*x^2-129*x+8) lgdogf] A253212 15.2874 [-(73*x-9)/(9*x-1)/(x-1) ogf] A253212 7.72588 [-(8*f(x)+217)*(9*f(x)*x^2-10*f(x)*x+f(x)+73*x-9) ogf] A253212 8.55365 [{a(n+2)-10*a(n+1)+9*a(n),a(0)=9,a(1)=17} ogf] A253212 9.58009 [-(-657*x^2+162*x-17)/(-657*x^3+811*x^2-163*x+9) lgdogf] A253213 14.3061 [-(91*x-10)/(10*x-1)/(x-1) ogf] A253213 7.37896 [-(9*f(x)+271)*(10*f(x)*x^2-11*f(x)*x+f(x)+91*x-10) ogf] A253213 8.15117 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=10,a(1)=19} ogf] A253213 9.10391 [-(-910*x^2+200*x-19)/(-910*x^3+1101*x^2-201*x+10) lgdogf] A253218 8.31685 [-(2*x^6+13*x^5+47*x^4+18*x^3+x^2-2*x+1)/(x-1)^3 ogf] A253219 6.60729 [-(5*x^8+45*x^7+178*x^6+483*x^5+259*x^4-14*x^3+x^2+3)/(x-1)^3 ogf] A253220 5.00790 [-(15*x^10+170*x^9+865*x^8+2590*x^7+5860*x^6+3466*x^5-255*x^4+31*x^3+45*x^2+7*x+6)/(x-1)^3 ogf] A253221 3.97228 [-(50*x^12+676*x^11+4171*x^10+15495*x^9+38505*x^8+77197*x^7+46449*x^6-3652*x^5+561*x^4+597*x^3+146*x^2+19*x+10)/(x-1)^3 ogf] A253225 6.64784 [(7*x^6+5*x^5+15*x^4-80*x^3-22*x^2+103*x-47)/(x-1)/(2*x-1)^2 ogf] A253226 5.59462 [(x^7-3*x^6+76*x^5-307*x^4+323*x^3+89*x^2-319*x+125)/(x-1)^3/(2*x-1) ogf] A253227 5.49307 [(x^7-5*x^6+343*x^5-1245*x^4+1261*x^3+219*x^2-933*x+335)/(x-1)^3/(2*x-1) ogf] A253228 5.18690 [(x^7-7*x^6+1208*x^5-4009*x^4+3624*x^3+997*x^2-2760*x+907)/(x-1)^3/(2*x-1) ogf] A253229 5.11623 [(x^7-9*x^6+3599*x^5-11033*x^4+8417*x^3+4681*x^2-8192*x+2470)/(x-1)^3/(2*x-1) ogf] A253230 5.03524 [(x^7-11*x^6+9682*x^5-27356*x^4+15840*x^3+19136*x^2-24149*x+6740)/(x-1)^3/(2*x-1) ogf] A253243 5.59714 [-(2*x^11+2*x^9-2*x^8+x^7+4*x^5+x^3-2*x^2+2*x)/(-x^12+1) ogf_with_Euler_transform] A253251 8.26097 [-(x^20+x^12+x^10+x^9+4*x^8-8*x^7+4*x^3-4*x^2-1)/(x-1)^2 ogf] A253255 10.4526 [-(x^3-2*x^2+x)/(-x^4-2*x^3-3*x^2-2*x-1) revogf] A253256 12.1731 [(-1/2*x+1/2+1/2*(-3*x^2-6*x+1)^(1/2))*x revogf] A253262 14.8935 [x^9-x^4-x^2-x+2 ogf_with_Euler_transform] A253262 5.51781 [f(x)*x^4-f(x)*x^3+f(x)*x^2-x^3-f(x)*x-x^2+f(x)-x ogf] A253262 8.39010 [x*(x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A253265 13.6460 [-(3*x-1)/(27*x^3-12*x^2-10*x+1) ogf] A253265 6.58772 [{a(n+3)-10*a(n+2)-12*a(n+1)+27*a(n),a(0)=1,a(1)=7,a(2)=82} ogf] A253265 6.76261 [(53023*f(x)-6093)*(27*f(x)*x^3-12*f(x)*x^2-10*f(x)*x+f(x)+3*x-1) ogf] A253265 8.58624 [-(-162*x^3+117*x^2-24*x-7)/(-81*x^4+63*x^3+18*x^2-13*x+1) lgdogf] A253285 12.1230 [-(-5*x^2-20*x-10)/(-x^3-2*x^2+2*x+1) lgdogf] A253285 3.96099 [{(n+3)*a(n+4)+(-6+2*n)*a(n+3)+(-22-2*n)*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=24,a(2)=240,a(3)=1200} ogf] A253285 7.69346 [-24*x*(x^2+3*x+1)/(x-1)^7 ogf] A253289 17.7102 [-(x+1)/(-x^2+2*x-1) ogf_with_Euler_transform] A253301 9.73667 [(x^2+x+1)*(x^3+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A253304 7.92267 [(3*x^3+7*x^2-21*x-1)/(x-1)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A253305 7.28174 [-(x^4+3*x^3-53*x^2+27*x+2)/(x-1)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A253320 3.37742 [-(64*x^12-150*x^11-144*x^10+574*x^9-63*x^8-832*x^7+444*x^6+588*x^5-468*x^4-232*x^3+215*x^2+50*x-44)/(2*x-1)/(2*x^2-1)^2/(x+1)^3/(x-1)^5 ogf] A253344 5.97081 [(19*x^5+48*x^4-211*x^3+68*x^2+109*x-47)/(2*x-1)/(x-1)/(6*x^2+3*x-1) ogf] A253345 3.89486 [(512*x^7+512*x^6-2192*x^5-240*x^4+2512*x^3-716*x^2-401*x+125)/(2*x-1)/(4*x^2+2*x-1)/(8*x^4+16*x^3-12*x^2-5*x+1) ogf] A253351 7.23521 [(6*x^5+86*x^4+104*x^3-141*x^2-62*x+47)/(2*x-1)/(6*x^2+3*x-1) ogf] A253352 3.43792 [-(192*x^9+64*x^8-2608*x^7-2512*x^6+4356*x^5+344*x^4-2836*x^3+815*x^2+390*x-125)/(2*x-1)/(4*x^2+2*x-1)/(8*x^4+16*x^3-12*x^2-5*x+1) ogf] A253360 6.93098 [-8*(48*x^5+15*x^4-14*x^3-6*x^2+34*x+19)/(4*x^6-3*x^4+4*x^2-1) ogf] A253361 5.14658 [-8*(72*x^7+40*x^6+172*x^5+64*x^4-73*x^3-50*x^2+53*x+34)/(4*x^8+8*x^6-8*x^4+5*x^2-1) ogf] A253362 3.79069 [8*(36*x^10-24*x^9+x^8-480*x^7-282*x^6-564*x^5-157*x^4+180*x^3+116*x^2-120*x-70)/(16*x^8+17*x^6-15*x^4+7*x^2-1) ogf] A253368 10.9010 [-(2*x-322)/(x^2-322*x+1) lgdogf] A253368 16.1958 [1/(x^2-322*x+1) ogf] A253368 6.51556 [(51841*f(x)+1)*(f(x)*x^2-322*f(x)*x+f(x)-1) ogf] A253368 6.59133 [{-a(n+2)+322*a(n+1)-a(n),a(0)=1,a(1)=322} ogf] A253391 7.79459 [(2*x^7-2*x^6-4*x^5-16*x^4+x^3+61*x^2-14*x-44)/(x+1)/(x-1)^3 ogf] A253392 8.13027 [(3*x^7+8*x^5-14*x^4-90*x^3+112*x^2+49*x-96)/(x+1)/(x-1)^3 ogf] A253393 5.21782 [(x^10-x^9-x^8+4*x^7+8*x^6+10*x^5-227*x^4+362*x^3+15*x^2-343*x+180)/(x+1)/(x-1)^4 ogf] A253394 4.57945 [(x^12-x^11-2*x^10+5*x^9-9*x^8+3*x^7+37*x^6+50*x^5-509*x^4+625*x^3+174*x^2-662*x+304)/(x+1)/(x-1)^4 ogf] A253395 3.76181 [(x^15-2*x^14+5*x^12-17*x^11+23*x^10-12*x^9-20*x^8+106*x^7+48*x^6-1054*x^5+1881*x^4-556*x^3-1519*x^2+1584*x-476)/(x+1)/(x-1)^5 ogf] A253410 7.30669 [(95*x^3+721*x^2-95*x-1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A253411 6.65667 [-(x^4+75*x^3-872*x^2+75*x+1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A253412 8.99928 [-(x^5+x^4-x^3-x^2-2*x-1)/(x^6-x^4-x^3-x^2+1) ogf] A253413 7.74858 [(x^6-6*x^5-x^4+3*x^3+2*x^2+2*x+1)/(x^6-x^4-x^3-x^2+1) ogf] A253428 4.21348 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=16,a(1)=58,a(2)=85,a(3)=156,a(4)=300} ogf] A253428 4.34413 [-(645116*f(x)+34827109)*(-2*x^4+2*f(x)*x^2-17*x^3-3*f(x)*x+57*x^2+f(x)-10*x-16) ogf] A253428 7.67662 [(2*x^4+17*x^3-57*x^2+10*x+16)/(2*x-1)/(x-1) ogf] A253429 5.73266 [-(36348*f(x)-51899)*(-2*x^4+2*f(x)*x^2-5*x^3-3*f(x)*x+23*x^2+f(x)+59*x-39) ogf] A253429 9.87293 [(2*x^4+5*x^3-23*x^2-59*x+39)/(2*x-1)/(x-1) ogf] A253430 10.9362 [(6*x^3+13*x^2-137*x+69)/(2*x-1)/(x-1) ogf] A253430 5.97354 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=69,a(1)=70,a(2)=85,a(3)=121} ogf] A253430 6.07564 [-(34498*f(x)-50137)*(2*f(x)*x^2-6*x^3-3*f(x)*x-13*x^2+f(x)+137*x-69) ogf] A253431 12.4320 [(32*x^2-225*x+109)/(2*x-1)/(x-1) ogf] A253431 6.67643 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=109,a(1)=102,a(2)=120} ogf] A253431 7.06916 [(11*f(x)-2933)*(2*f(x)*x^2-3*f(x)*x-32*x^2+f(x)+225*x-109) ogf] A253431 8.28798 [-(354*x^2-372*x+102)/(-64*x^4+546*x^3-925*x^2+552*x-109) lgdogf] A253432 12.4320 [(32*x^2-369*x+181)/(2*x-1)/(x-1) ogf] A253432 6.67643 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=181,a(1)=174,a(2)=192} ogf] A253432 7.06916 [(23*f(x)-9209)*(2*f(x)*x^2-3*f(x)*x-32*x^2+f(x)+369*x-181) ogf] A253432 8.19380 [-(642*x^2-660*x+174)/(-64*x^4+834*x^3-1501*x^2+912*x-181) lgdogf] A253433 12.4320 [(32*x^2-657*x+325)/(2*x-1)/(x-1) ogf] A253433 6.67643 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=325,a(1)=318,a(2)=336} ogf] A253433 7.00052 [(47*f(x)-32129)*(2*f(x)*x^2-3*f(x)*x-32*x^2+f(x)+657*x-325) ogf] A253433 7.83754 [-(1218*x^2-1236*x+318)/(-64*x^4+1410*x^3-2653*x^2+1632*x-325) lgdogf] A253434 12.2789 [(32*x^2-1233*x+613)/(2*x-1)/(x-1) ogf] A253434 6.70793 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=613,a(1)=606,a(2)=624} ogf] A253434 6.89957 [(95*f(x)-119441)*(2*f(x)*x^2-3*f(x)*x-32*x^2+f(x)+1233*x-613) ogf] A253434 7.87452 [-(2370*x^2-2388*x+606)/(-64*x^4+2562*x^3-4957*x^2+3072*x-613) lgdogf] A253436 6.02415 [(322*f(x)-40575)*(-8*x^4+2*f(x)*x^2-8*x^3-3*f(x)*x+26*x^2+f(x)+59*x-39) ogf] A253436 9.87293 [(8*x^4+8*x^3-26*x^2-59*x+39)/(2*x-1)/(x-1) ogf] A253437 5.34474 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=69,a(1)=73,a(2)=85,a(3)=120,a(4)=192} ogf] A253437 5.82664 [(98528*f(x)+151719)*(-2*x^4+2*f(x)*x^2-11*x^3-3*f(x)*x-4*x^2+f(x)+134*x-69) ogf] A253437 9.73768 [(2*x^4+11*x^3+4*x^2-134*x+69)/(2*x-1)/(x-1) ogf] A253438 5.67759 [(3810620*f(x)-54628399)*(-2*x^4+2*f(x)*x^2-9*x^3-3*f(x)*x-15*x^2+f(x)+219*x-109) ogf] A253438 9.74397 [(2*x^4+9*x^3+15*x^2-219*x+109)/(2*x-1)/(x-1) ogf] A253439 5.54657 [-(773020*f(x)-18479111)*(-2*x^4+2*f(x)*x^2-9*x^3-3*f(x)*x-15*x^2+f(x)+363*x-181) ogf] A253439 9.74397 [(2*x^4+9*x^3+15*x^2-363*x+181)/(2*x-1)/(x-1) ogf] A253440 5.381 [-(48598076*f(x)-2093518639)*(-2*x^4+2*f(x)*x^2-9*x^3-3*f(x)*x-15*x^2+f(x)+651*x-325) ogf] A253440 9.74397 [(2*x^4+9*x^3+15*x^2-651*x+325)/(2*x-1)/(x-1) ogf] A253441 5.28799 [-(186692732*f(x)-15204953407)*(-2*x^4+2*f(x)*x^2-9*x^3-3*f(x)*x-15*x^2+f(x)+1227*x-613) ogf] A253441 9.65941 [(2*x^4+9*x^3+15*x^2-1227*x+613)/(2*x-1)/(x-1) ogf] A253442 3.50713 [-(924874651258088385*f(x)+725804330072384)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x-f(x)-816*x+96) ogf] A253442 3.90567 [{a(n+3)-1443*a(n+2)+1443*a(n+1)-a(n),a(0)=96,a(1)=137712,a(2)=198579888} ogf] A253442 8.31529 [48*(17*x-2)/(x-1)/(x^2-1442*x+1) ogf] A253446 11.4340 [(15*x-1)/(x-1)/(x^2-30*x+1) ogf] A253446 5.0818 [-(1223604256*f(x)+40692959)*(f(x)*x^3-31*f(x)*x^2+31*f(x)*x-f(x)-15*x+1) ogf] A253446 5.47269 [{a(n+3)-31*a(n+2)+31*a(n+1)-a(n),a(0)=1,a(1)=16,a(2)=465} ogf] A253446 7.03632 [-(30*x^3-468*x^2+62*x-16)/(15*x^4-466*x^3+496*x^2-46*x+1) lgdogf] A253447 5.40231 [(6503*f(x)+22)*(f(x)*x^3-31*f(x)*x^2+31*f(x)*x+x^2-f(x)-16*x+1) ogf] A253447 5.44848 [{-a(n+3)+31*a(n+2)-31*a(n+1)+a(n),a(0)=1,a(1)=15,a(2)=435} ogf] A253447 5.95768 [-(-x^4+32*x^3-468*x^2+60*x-15)/(-x^5+47*x^4-528*x^3+528*x^2-47*x+1) lgdogf] A253447 9.96050 [-(x^2-16*x+1)/(x-1)/(x^2-30*x+1) ogf] A253449 4.84710 [-(864*x^9+1872*x^8+2304*x^7+1764*x^6+396*x^5-549*x^4-621*x^3-205*x^2-72*x+81)/(2*x-1)/(3*x-1)/(x-1) ogf] A253450 4.85881 [(480*x^8+896*x^7-640*x^6-5712*x^5-4648*x^4+897*x^3+2514*x^2+509*x-414)/(2*x-1)/(3*x-1)/(x-1) ogf] A253451 4.83289 [(54*x^8+441*x^7+2310*x^6+136*x^5-9282*x^4-8729*x^3+5642*x^2+3546*x-1388)/(2*x-1)/(3*x-1)/(x-1) ogf] A253452 4.83098 [(54*x^8+345*x^7+1994*x^6+1926*x^5-3744*x^4-21108*x^3+148*x^2+13280*x-3639)/(2*x-1)/(3*x-1)/(x-1) ogf] A253453 4.78334 [(54*x^8+393*x^7+2158*x^6+2832*x^5-3730*x^4-27721*x^3-21445*x^2+35786*x-8501)/(2*x-1)/(3*x-1)/(x-1) ogf] A253454 4.43497 [(54*x^8+489*x^7+2750*x^6+5432*x^5-9844*x^4-45858*x^3-66394*x^2+86576*x-19701)/(2*x-1)/(3*x-1)/(x-1) ogf] A253455 4.38798 [(54*x^8+681*x^7+3934*x^6+10872*x^5-21054*x^4-105187*x^3-174835*x^2+215434*x-48293)/(2*x-1)/(3*x-1)/(x-1) ogf] A253457 12.4905 [(13*x-1)/(x-1)/(x^2-26*x+1) ogf] A253457 5.59576 [-(440923224*f(x)+16906343)*(f(x)*x^3-27*f(x)*x^2+27*f(x)*x-f(x)-13*x+1) ogf] A253457 5.97838 [{a(n+3)-27*a(n+2)+27*a(n+1)-a(n),a(0)=1,a(1)=14,a(2)=351} ogf] A253457 7.68648 [-(26*x^3-354*x^2+54*x-14)/(13*x^4-352*x^3+378*x^2-40*x+1) lgdogf] A253458 10.8840 [-(x^2-14*x+1)/(x-1)/(x^2-26*x+1) ogf] A253458 5.90322 [(4206*f(x)+19)*(f(x)*x^3-27*f(x)*x^2+27*f(x)*x+x^2-f(x)-14*x+1) ogf] A253458 5.95367 [{-a(n+3)+27*a(n+2)-27*a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=325} ogf] A253458 6.51008 [-(-x^4+28*x^3-354*x^2+52*x-13)/(-x^5+41*x^4-406*x^3+406*x^2-41*x+1) lgdogf] A253459 7.50357 [(20*x^3+127*x^2-20*x-1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A253460 6.85092 [-(x^4+15*x^3-158*x^2+15*x+1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A253461 5.48314 [-(7839125*f(x)-7855342511)*(16*f(x)*x^4+6704*x^4+3744*x^3+2000*x^2-f(x)+800*x+81) ogf] A253461 8.64650 [-(6704*x^4+3744*x^3+2000*x^2+800*x+81)/(2*x-1)/(2*x+1)/(4*x^2+1) ogf] A253462 3.82778 [-(156*x^7+709*x^6+916*x^5+313*x^4+82*x^3-373*x^2-378*x-81)/(16*x^8+48*x^7+75*x^6+8*x^5+7*x^4-30*x^3-27*x^2-2*x+1) ogf] A253463 5.50679 [-4*(734*x^6+1468*x^5+696*x^4+232*x^3+325*x^2-200*x-135)/(x-1)/(x+1)/(6*x^2-1)/(2*x^2+1) ogf] A253464 6.74657 [8*(48*x^5+1195*x^4-550*x^3-2025*x^2+175*x+455)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A253465 4.83993 [8*(1600*x^7+44239*x^6-5578*x^5-47804*x^4+84*x^3-2701*x^2+384*x+3026)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A253466 6.39325 [8*(1168*x^5+78883*x^4-4398*x^3-100635*x^2+1067*x+20252)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A253467 4.27038 [8*(18176*x^7+2148463*x^6-31210*x^5-2162396*x^4-952*x^3-134215*x^2+1986*x+135188)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A253469 5.65403 [8*(15040*x^5+3605423*x^4-25830*x^3-4514810*x^2+5558*x+903387)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A253470 13.8805 [(4*x-1)/(x^2-8*x+1)/(x-1) ogf] A253470 6.45323 [-(76665*f(x)+9239)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x-f(x)-4*x+1) ogf] A253470 6.51034 [{a(n+3)-9*a(n+2)+9*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=36} ogf] A253470 8.65492 [-(8*x^3-39*x^2+18*x-5)/(4*x^4-37*x^3+45*x^2-13*x+1) lgdogf] A253472 13.5554 [-(2*x^5-2*x^4+2*x^2+x-4)/(x-1)^2 ogf] A253472 8.90781 [-(6*x^5-14*x^4+8*x^3-5*x+7)/(-2*x^6+4*x^5-2*x^4-2*x^3+x^2+5*x-4) lgdogf] A253475 13.0084 [(5*x-1)/(x^2-10*x+1)/(x-1) ogf] A253475 6.06324 [-(418536*f(x)+40919)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x-f(x)-5*x+1) ogf] A253475 6.22141 [{a(n+3)-11*a(n+2)+11*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=55} ogf] A253475 8.31933 [-(10*x^3-58*x^2+22*x-6)/(5*x^4-56*x^3+66*x^2-16*x+1) lgdogf] A253476 7.45676 [(14*x^3+55*x^2-14*x-1)/(x-1)/(x^4-110*x^2+1) ogf] A253477 6.84739 [-(x^4+9*x^3-74*x^2+9*x+1)/(x-1)/(x^4-110*x^2+1) ogf] A253487 4.05597 [{(8*n^2+44*n+60)*a(n+1)+(2*n^2+24*n+64)*a(n+2)+(-n^2-8*n-15)*a(n+3),a(0)=2,a(1)=16,a(2)=90} ogf] A253489 5.20854 [(72*x^7+180*x^6-392*x^5-2112*x^4-1543*x^3+1068*x^2+1107*x-414)/(2*x-1)/(3*x-1)/(x-1) ogf] A253490 5.83949 [(6*x^6+733*x^5+442*x^4-7417*x^3-924*x^2+5238*x-1388)/(2*x-1)/(3*x-1)/(x-1) ogf] A253491 6.12167 [(342*x^5+4467*x^4-9033*x^3-14189*x^2+16448*x-3639)/(2*x-1)/(3*x-1)/(x-1) ogf] A253492 6.18139 [(198*x^5+5271*x^4-2367*x^3-47374*x^2+41327*x-8501)/(2*x-1)/(3*x-1)/(x-1) ogf] A253493 5.71987 [(288*x^5+5844*x^4+4302*x^3-116576*x^2+97231*x-19701)/(2*x-1)/(3*x-1)/(x-1) ogf] A253494 5.69553 [(480*x^5+8714*x^4+7761*x^3-284807*x^2+238591*x-48293)/(2*x-1)/(3*x-1)/(x-1) ogf] A253496 4.77449 [(480*x^8+1040*x^7+530*x^6-3607*x^5-3091*x^4+491*x^3+618*x^2+1107*x-414)/(2*x-1)/(3*x-1)/(x-1) ogf] A253497 4.78574 [(54*x^8+327*x^7+1253*x^6-153*x^5-3397*x^4-2012*x^3-3624*x^2+5688*x-1388)/(2*x-1)/(3*x-1)/(x-1) ogf] A253498 4.77343 [(54*x^8+345*x^7+1214*x^6+26*x^5-3585*x^4+1023*x^3-18640*x^2+17114*x-3639)/(2*x-1)/(3*x-1)/(x-1) ogf] A253499 4.80775 [(54*x^8+393*x^7+1510*x^6+900*x^5-6686*x^4+6505*x^3-49115*x^2+41352*x-8501)/(2*x-1)/(3*x-1)/(x-1) ogf] A253500 4.35859 [(54*x^8+489*x^7+2102*x^6+2660*x^5-12502*x^4+9713*x^3-112665*x^2+95970*x-19701)/(2*x-1)/(3*x-1)/(x-1) ogf] A253501 4.39369 [(54*x^8+681*x^7+3286*x^6+6180*x^5-23990*x^4+5389*x^3-268043*x^2+234396*x-48293)/(2*x-1)/(3*x-1)/(x-1) ogf] A253503 10.9391 [-(-11*x^2+46*x-65)/(-11*x^3+45*x^2-67*x+33) lgdogf] A253503 11.7678 [-4*(11*x^2-34*x+33)/(x-1)^3 ogf] A253503 6.2134 [(12475*f(x)-558879)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+44*x^2-f(x)-136*x+132) ogf] A253503 6.58199 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=132,a(1)=260,a(2)=428} ogf] A253504 7.61511 [4*(x^5+x^4-37*x^3+114*x^2-142*x+65)/(x-1)^4 ogf] A253505 6.33390 [4*(x^7-2*x^6+6*x^5-4*x^4-62*x^3+191*x^2-232*x+107)/(x-1)^4 ogf] A253506 4.47724 [4*(x^10-3*x^9+9*x^8-20*x^7+35*x^6-45*x^5-59*x^4+360*x^3-617*x^2+496*x-159)/(x-1)^5 ogf] A253507 3.93408 [4*(x^12-3*x^11+10*x^10-23*x^9+44*x^8-77*x^7+110*x^6-129*x^5-22*x^4+461*x^3-833*x^2+677*x-221)/(x-1)^5 ogf] A253512 4.60626 [-(60884*f(x)-667901)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2-18*x^3-12*f(x)*x+36*x^2+f(x)-13*x) ogf] A253512 8.80946 [x*(18*x^2-36*x+13)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A253513 12.6858 [8*x^7/(-x^8+1) lgdogf] A253513 18.2676 [-1/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A253513 26.7955 [[x^7] ogf_with_Euler_transform] A253514 3.99827 [(20298776337*f(x)-19659302)*(f(x)*x^3-899*f(x)*x^2+899*f(x)*x+x^2-f(x)-58*x+1) ogf] A253514 4.32334 [{-a(n+3)+899*a(n+2)-899*a(n+1)+a(n),a(0)=1,a(1)=841,a(2)=755161} ogf] A253514 8.05714 [-(x^2-58*x+1)/(x-1)/(x^2-898*x+1) ogf] A253526 4.04362 [-(18*x^7-121*x^6+445*x^5-365*x^4-54*x^3+73*x^2-189*x+81)/(2*x^4-7*x^3+4*x-1)/(x-1)^4 ogf] A253537 5.15012 [-256*(16*x^4-28*x^3+10*x^2+3*x-2)/(x-1)/(8*x^2-1)/(8*x^2-7*x+1) ogf] A253546 4.65136 [(57954133309*f(x)-53198580)*(f(x)*x^3-675*f(x)*x^2+675*f(x)*x+x^2-f(x)-128*x+1) ogf] A253546 5.06734 [{-a(n+3)+675*a(n+2)-675*a(n+1)+a(n),a(0)=1,a(1)=547,a(2)=368551} ogf] A253546 5.23767 [-(-x^4+256*x^3-85728*x^2+1348*x-547)/(-x^5+803*x^4-87076*x^3+87076*x^2-803*x+1) lgdogf] A253546 9.30273 [-(x^2-128*x+1)/(x-1)/(x^2-674*x+1) ogf] A253547 10.2776 [-x^3*(2*x^5-4*x^4+3*x^2+x+1)/(x+1)/(x-1)^3 ogf] A253579 4.96982 [-(x^4+22800*x^3-435482*x^2+22800*x+1)/(x-1)/(x^2-1442*x+1)/(x^2+1442*x+1) ogf] A253599 5.93183 [-(x^4+840*x^3-21842*x^2+840*x+1)/(x-1)/(x^2-254*x+1)/(x^2+254*x+1) ogf] A253621 10.9843 [-(x^2-7*x+1)/(x-1)/(x^2-12*x+1) ogf] A253621 5.96564 [(775*f(x)+17)*(f(x)*x^3-13*f(x)*x^2+13*f(x)*x+x^2-f(x)-7*x+1) ogf] A253621 6.01751 [{-a(n+3)+13*a(n+2)-13*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=66} ogf] A253621 6.59061 [-(-x^4+14*x^3-81*x^2+24*x-6)/(-x^5+20*x^4-105*x^3+105*x^2-20*x+1) lgdogf] A253622 4.55082 [(12614481*f(x)-41912)*(f(x)*x^3-143*f(x)*x^2+143*f(x)*x+x^2-f(x)-37*x+1) ogf] A253622 4.73733 [{-a(n+3)+143*a(n+2)-143*a(n+1)+a(n),a(0)=1,a(1)=106,a(2)=15016} ogf] A253622 8.75688 [-(x^2-37*x+1)/(x-1)/(x^2-142*x+1) ogf] A253625 5.25136 [-(-2*x^7+x^6+2*x^5-2*x^4+2*x^2-4*x+1)/(x^8-x^7+x^6+x^2-x+1) ogf_with_Euler_transform] A253626 5.14806 [-(2*x^9-x^8+x^6+x^5+x^3-x^2+2*x+1)/(-x^10-x^8-x^6-x^4-x^2-1) ogf_with_Euler_transform] A253636 3.84212 [-(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^11 ogf] A253637 4.23410 [(x^8+502*x^7+14608*x^6+88234*x^5+156190*x^4+88234*x^3+14608*x^2+502*x+1)/(x-1)^12 ogf] A253654 12.1615 [-(x^2-3*x+1)/(x^2-8*x+1)/(x-1) ogf] A253654 6.56504 [{-a(n+3)+9*a(n+2)-9*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=46} ogf] A253654 6.56505 [(141*f(x)-1)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x+x^2-f(x)-3*x+1) ogf] A253654 7.27304 [-(-x^4+6*x^3-21*x^2+16*x-6)/(-x^5+12*x^4-37*x^3+37*x^2-12*x+1) lgdogf] A253665 3.40552 [{(-192*n^2-192*n)*a(n)+(80*n^2+320*n+272)*a(n+1)+(12*n^2-68)*a(n+2)+(-5*n^2-15*n)*a(n+3),a(0)=1,a(1)=2,a(2)=8,a(3)=48} ogf] A253665 8.55251 [-(-256*x^3+64*x^2+16*x+2)/(-256*x^4+32*x^3+32*x^2-2*x-1) lgdogf] A253671 5.50440 [(x^14-x^13+x^12-x^11+x^10+x^9+x^7+x^6+x^4+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A253673 7.45604 [(3*x-1)*(5*x^2+18*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A253674 7.48445 [-(x^2+14*x+1)*(x^2-5*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A253675 6.02925 [-(x^4+360*x^3-3722*x^2+360*x+1)/(x-1)/(x^2-98*x+1)/(x^2+98*x+1) ogf] A253679 18.5318 [-(x^2-26*x-23)/(x-1)^4 ogf] A253679 19.0690 [-(-2*x^2+76*x+118)/(-x^3+27*x^2-3*x-23) lgdogf] A253679 6.26552 [{(-23*n-92)*a(n+4)+(109-3*n)*a(n+3)+(130+27*n)*a(n+2)+(-3-n)*a(n+1),a(0)=23,a(1)=118,a(2)=333,a(3)=716} ogf] A253679 9.33166 [(47436*f(x)+1668929)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-26*x-23) ogf] A253680 3.77614 [{(-46*n^2-363*n-716)*a(n+1)+(92*n^2+644*n+1655)*a(n+2)+(-46*n^2-281*n-429)*a(n+3),a(0)=204,a(1)=2940,a(2)=16296} ogf] A253680 7.08917 [12*(x+1)*(17*x^2+126*x+17)/(x-1)^6 ogf] A253680 8.73781 [-(51*x^3+623*x^2+1001*x+245)/(17*x^4+126*x^3-126*x-17) lgdogf] A253687 7.48968 [(4*x^8-2*x^6-5*x^5-6*x^4-5*x^3-3*x^2-2*x-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A253688 8.07527 [-(2*x^8-2*x^7-2*x^6+2*x^5+4*x^4+3*x^3+2*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A253689 6.04296 [-(x^4+315*x^3-5168*x^2+315*x+1)/(x-1)/(x^2-110*x+1)/(x^2+110*x+1) ogf] A253707 11.3922 [(x^2+30*x+17)/(x-1)^4 ogf] A253707 11.7224 [-(-2*x^2-92*x-98)/(-x^3-29*x^2+13*x+17) lgdogf] A253707 3.87008 [{(17*n+68)*a(n+4)+(-59+13*n)*a(n+3)+(-150-29*n)*a(n+2)+(-3-n)*a(n+1),a(0)=17,a(1)=98,a(2)=291,a(3)=644} ogf] A253707 5.65626 [(957312*f(x)+29797985)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-30*x-17) ogf] A253708 5.88016 [-(323*x^4+5236*x^3+11922*x^2+5236*x+323)/(x-1)^7 ogf] A253714 4.99125 [-(x^4+2856*x^3-21842*x^2+2856*x+1)/(x-1)/(x^2-254*x+1)/(x^2+254*x+1) ogf] A253715 6.35424 [(2159*x^3+32257*x^2-2159*x-1)/(x-1)/(x^2-254*x+1)/(x^2+254*x+1) ogf] A253724 4.52033 [-3*(x^7-8*x^6+27*x^5-216*x^4-1521*x^3-3272*x^2-1563*x-168)/(x-1)^8 ogf] A253742 5.86131 [-9*(12*x^4-40*x^3+51*x^2-31*x+9)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A253778 5.27220 [-x*(x^7+5*x^6+60*x^5+69*x^4+147*x^3+36*x^2+8*x-2)/(x+1)^4/(x-1)^5 ogf] A253779 4.14661 [6*x*(x^8+29*x^7+55*x^6+241*x^5+158*x^4+241*x^3+55*x^2+29*x+1)/(x+1)^5/(x-1)^6 ogf] A253811 10.4908 [-(x^2+6*x-19)/(x^3-3*x^2-17*x+3) lgdogf] A253811 15.3865 [(x+3)/(x^2-6*x+1) ogf] A253811 7.86811 [(108*f(x)+37)*(f(x)*x^2-6*f(x)*x+f(x)-x-3) ogf] A253811 8.34208 [{-a(n+2)+6*a(n+1)-a(n),a(0)=3,a(1)=19} ogf] A253821 6.50290 [-(x^4+180*x^3-746*x^2+180*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A253822 7.09763 [(255*x^3+577*x^2-255*x-1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A253823 4.96982 [-(x^4+97920*x^3-390050*x^2+97920*x+1)/(x-1)/(x^2-1154*x+1)/(x^2+1154*x+1) ogf] A253826 11.7882 [(17*x-1)/(x-1)/(x^2-34*x+1) ogf] A253826 5.2392 [-(2980527840*f(x)+87506207)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)-17*x+1) ogf] A253826 5.64221 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=18,a(2)=595} ogf] A253826 7.25426 [-(34*x^3-598*x^2+70*x-18)/(17*x^4-596*x^3+630*x^2-52*x+1) lgdogf] A253831 6.94662 [9*f(x)^2*x^3+4*f(x)^2*x^2-8*f(x)^2*x+6*f(x)*x^2+2*f(x)^2+7*f(x)*x-4*f(x)+x+2 ogf] A253852 7.79017 [-(6*x^9+4*x^8+3*x^7+4*x^6+3*x^5+2*x^4+x^3+x^2+x+1)/(12*x^10-1) ogf] A253878 11.1702 [-(x^2+5*x+1)/(x^2-16*x+1)/(x-1) ogf] A253878 5.96374 [(7587*f(x)-743)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+x^2-f(x)+5*x+1) ogf] A253878 6.01471 [{a(n+3)-17*a(n+2)+17*a(n+1)-a(n),a(0)=1,a(1)=22,a(2)=358} ogf] A253878 6.76655 [-(-x^4-10*x^3+99*x^2+32*x-22)/(-x^5+12*x^4+67*x^3-67*x^2-12*x+1) lgdogf] A253879 12.4202 [(8*x-1)/(x^2-16*x+1)/(x-1) ogf] A253879 5.64554 [-(13385169*f(x)+829583)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x-f(x)-8*x+1) ogf] A253879 5.88888 [{a(n+3)-17*a(n+2)+17*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=136} ogf] A253879 7.67539 [-(16*x^3-139*x^2+34*x-9)/(8*x^4-137*x^3+153*x^2-25*x+1) lgdogf] A253880 13.7007 [-(x-1)/(x^2-254*x+1) ogf] A253880 6.63845 [-(64260*f(x)-251)*(f(x)*x^2-254*f(x)*x+f(x)+x-1) ogf] A253880 7.48757 [{a(n+2)-254*a(n+1)+a(n),a(0)=1,a(1)=253} ogf] A253880 9.19901 [-(-x^2+2*x-253)/(-x^3+255*x^2-255*x+1) lgdogf] A253895 6.72313 [-(x^12-2*x^10-x^8+2*x^6+2*x^5+2*x^4+x^3+2*x^2+1)/(x^2+1)/(x-1)^3 ogf] A253896 5.96972 [-x^3*(2*x^10-4*x^9+2*x^8-2*x^7+2*x^5+2*x^4+2*x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A253909 11.5771 [-(x^2+4*x+1)/(-x^4+5*x^3-6*x^2+3*x-1) lgdogf] A253909 12.0804 [(x^3-4*x^2+2*x-1)/(x-1)^3 ogf] A253909 6.31476 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=9} ogf] A253909 6.61545 [-(92*f(x)-155)*(f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A253918 11.0723 [-1/4*x^2-1/4+1/4*(x^4+2*x^2+8*x+1)^(1/2) revogf] A253918 17.7156 [-2*x-1+f(x)-f(x)^2*x^2 ogf] A253918 4.86100 [{(8*n+12)*a(n+1)+(4*n+12)*a(n+2)+(-n-6)*a(n+4),a(0)=1,a(1)=2,a(2)=1,a(3)=4} ogf] A253920 6.09941 [(4*x^5+34*x^4+721*x^3-34*x^2-4*x-1)/(x-1)/(x^6-1442*x^3+1) ogf] A253921 6.81097 [-(x^4+50*x^3-262*x^2+50*x+1)/(x-1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A253922 7.39686 [(55*x^3+241*x^2-55*x-1)/(x-1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A253923 5.42498 [-(x^4+7700*x^3-20242*x^2+7700*x+1)/(x-1)/(x^2-482*x+1)/(x^2+482*x+1) ogf] A253942 12.1603 [3/(x-1)^6 ogf] A253942 29.5322 [6/(-x+1) lgdogf] A253942 63.1251 [[6] ogf_with_Euler_transform] A253942 7.87525 [{(-n-2)*a(n+2)+(7+n)*a(n+1),a(0)=3,a(1)=18} ogf] A253943 10.1211 [-3/(x-1)^7 ogf] A253943 27.8331 [7/(-x+1) lgdogf] A253943 59.4407 [[7] ogf_with_Euler_transform] A253943 7.42215 [{(-n-2)*a(n+2)+(8+n)*a(n+1),a(0)=3,a(1)=21} ogf] A253944 27.4784 [8/(-x+1) lgdogf] A253944 58.6420 [[8] ogf_with_Euler_transform] A253944 7.32756 [{(-n-2)*a(n+2)+(9+n)*a(n+1),a(0)=3,a(1)=24} ogf] A253944 8.94644 [3/(x-1)^8 ogf] A253945 11.7117 [6/(x-1)^6 ogf] A253945 28.4428 [6/(-x+1) lgdogf] A253945 60.7619 [[6] ogf_with_Euler_transform] A253945 7.58474 [{(-n-2)*a(n+2)+(7+n)*a(n+1),a(0)=6,a(1)=36} ogf] A253946 10.2171 [-6/(x-1)^7 ogf] A253946 28.0970 [7/(-x+1) lgdogf] A253946 59.9840 [[7] ogf_with_Euler_transform] A253946 7.49252 [{(-n-2)*a(n+2)+(8+n)*a(n+1),a(0)=6,a(1)=42} ogf] A253947 28.4686 [8/(-x+1) lgdogf] A253947 60.7552 [[8] ogf_with_Euler_transform] A253947 7.59162 [{(-n-2)*a(n+2)+(9+n)*a(n+1),a(0)=6,a(1)=48} ogf] A253947 9.26884 [6/(x-1)^8 ogf] A254006 11.8560 [{a(n+2)-3*a(n),a(0)=1,a(1)=0} ogf] A254006 18.2178 [-3*f(x)*x^2+f(x)-1 ogf] A254006 20.7480 [6*x/(-3*x^2+1) lgdogf] A254006 29.8772 [-1/(3*x^2-1) ogf] A254007 3.87332 [-(x^6+2*x^5+2*x^4-3*x^3-3*x^2+x+1)/(x^2+x-1)/(2*x^2-1)^2 ogf] A254011 11.0030 [(x^6-x^3+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A254011 18.0295 [-x^17+x^8+x^5+x^4 ogf_with_Euler_transform] A254028 10.1816 [-2*(13*x^2-13*x+3)/(2*x-1)/(3*x-1)/(x-1) ogf] A254028 5.38528 [-(11*f(x)-266)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+26*x^2-f(x)-26*x+6) ogf] A254028 5.66626 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=6,a(1)=10,a(2)=20} ogf] A254029 11.7341 [-(4*x+31246)/(4*x^2+15617*x-15621) lgdogf] A254029 14.3683 [(4*x+15621)/(x-1)^2 ogf] A254029 6.97077 [(15625*f(x)+244078133)*(f(x)*x^2-2*f(x)*x+f(x)-4*x-15621) ogf] A254029 7.82276 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15621,a(1)=31246} ogf] A254030 4.89137 [24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+154*x^3-10*f(x)*x-200*x^2+f(x)+80*x-10 ogf] A254030 7.02783 [-2*(77*x^3-100*x^2+40*x-5)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A254031 5.60251 [-(1044*x^4-1604*x^3+855*x^2-190*x+15)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254056 5.34990 [-(10*x^8+7*x^7+4*x^6+13*x^5+8*x^4+5*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A254058 5.37115 [-(x^23-x^22+x^11+x^10-2*x^9-x^8-x^7-2*x^6-x^5-x^4-2*x^3-x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A254065 4.55933 [-(5*x^8-3*x^7+4*x^6-3*x^5-2*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A254076 11.6641 [(9*x^3+x^2-1)/(x-1)/(2*x-1)/(x+1) ogf] A254076 5.74369 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=-1,a(1)=-2,a(2)=-4,a(3)=1} ogf] A254076 6.59276 [(3*f(x)+7)*(2*f(x)*x^3-f(x)*x^2-9*x^3-2*f(x)*x-x^2+f(x)+1) ogf] A254076 7.22064 [-(11*x^4+36*x^3-31*x^2+2)/(18*x^6-7*x^5-19*x^4+5*x^3+2*x^2+2*x-1) lgdogf] A254124 11.3565 [-(5*x^2-8*x+1)/(5*x^3-24*x^2+12*x-1) ogf] A254124 5.86445 [(579811*f(x)-12640)*(5*f(x)*x^3-24*f(x)*x^2+12*f(x)*x+5*x^2-f(x)-8*x+1) ogf] A254124 6.22141 [{-a(n+3)+12*a(n+2)-24*a(n+1)+5*a(n),a(0)=1,a(1)=4,a(2)=29} ogf] A254124 6.56387 [-(-25*x^4+80*x^3-147*x^2+38*x-4)/(-25*x^5+160*x^4-257*x^3+125*x^2-20*x+1) lgdogf] A254125 6.16612 [-(16*x^4-92*x^3+86*x^2-22*x+1)/(32*x^5-248*x^4+396*x^3-202*x^2+30*x-1) ogf] A254136 6.62917 [-(x^4+72*x^3-338*x^2+72*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A254137 7.03829 [(51*x^3+577*x^2-51*x-1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A254138 4.92697 [-(x^4+7956*x^3-154634*x^2+7956*x+1)/(x-1)/(x^2-1154*x+1)/(x^2+1154*x+1) ogf] A254142 14.7950 [-(-80*x-19)/(-8*x^2+7*x+1) lgdogf] A254142 4.80356 [{(n+3)*a(n+3)+(-5+7*n)*a(n+2)+(-88-8*n)*a(n+1),a(0)=1,a(1)=19,a(2)=154} ogf] A254142 5.47961 [-(8*x+1)/(x-1)^11 ogf] A254144 4.47854 [-(8028*x^5-13916*x^4+8939*x^3-2695*x^2+385*x-21)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254145 3.58418 [-4*(17316*x^6-32926*x^5+24199*x^4-8911*x^3+1750*x^2-175*x+7)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A254146 3.49225 [-12*(55308*x^7-113262*x^6+92327*x^5-39312*x^4+9527*x^3-1323*x^2+98*x-3)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A254150 3.23433 [-(x^2-4*x+1)/(5*x^3-24*x^2+12*x-1) ogf] A254150 5.76986 [-(68179*f(x)+2764)*(5*f(x)*x^3-24*f(x)*x^2+12*f(x)*x+x^2-f(x)-4*x+1) ogf] A254151 2.58048 [-(4*x^4-28*x^3+36*x^2-14*x+1)/(32*x^5-248*x^4+396*x^3-202*x^2+30*x-1) ogf] A254228 6.41033 [-(x^4+40*x^3-178*x^2+40*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A254229 6.96175 [(45*x^3+161*x^2-45*x-1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A254230 5.03911 [-(x^4+4140*x^3-22538*x^2+4140*x+1)/(x-1)/(x^2-322*x+1)/(x^2+322*x+1) ogf] A254282 10.9352 [1-f(x)+9*f(x)^2*x-27*x^2*f(x)^3 ogf] A254282 19.8822 [27*x^3-9*x^2+x revogf] A254282 6.18975 [{(-27*n-45)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=9} ogf] A254283 6.67601 [-(x^4+30*x^3-110*x^2+30*x+1)/(x-1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A254284 7.32910 [(35*x^3+97*x^2-35*x-1)/(x-1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A254285 5.68230 [-(x^4+1890*x^3-13190*x^2+1890*x+1)/(x-1)/(x^2+194*x+1)/(x^2-194*x+1) ogf] A254286 12.5355 [-65536*x^4+4096*x^3-96*x^2+x revogf] A254286 5.52024 [{(-256*n-448)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=96} ogf] A254287 5.32166 [{(-3125*n-5625)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=1250} ogf] A254308 10.6791 [x*(x^4-x^3+2*x^2+x+1)/(x^6-4*x^3+1) ogf] A254314 7.70185 [-2*f(x)^2*x-f(x)*x^2+f(x)^2+6*f(x)*x-3*f(x)-3*x+2 ogf] A254316 7.72358 [-f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*f(x)*x-f(x)-2*x+1 ogf] A254316 8.68903 [-1/2*(x^2+(x^4+6*x^2-4*x+1)^(1/2)-2*x-1)/(x+2) revogf] A254322 21.0717 [10/(-11*x+1) lgdegf] A254322 6.94671 [{(-11*n-21)*a(n+1)+a(n+2),a(0)=1,a(1)=10} ogf] A254332 8.23066 [(2*x^3+19*x^2-2*x-1)/(x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A254333 6.62917 [-(x^4+15*x^3-302*x^2+15*x+1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A254346 99.9999 Evaluated at exp(-Pi) 1/128*exp(1/2*Pi)*2^(1/3)*3^(2/3)*GAMMA(2/3)^(4/3)*GAMMA(11/12)^(11/3)*GAMMA(7/12)^5*(11*3^(1/2)-19)/GAMMA(3/4)^(26/3)/Pi^(2/3)*(1+3^(1/2))^5 A254362 11.7396 [-(47*x^2-45*x+10)/(2*x-1)/(3*x-1)/(x-1) ogf] A254362 6.46674 [(50*f(x)-599)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+47*x^2-f(x)-45*x+10) ogf] A254362 6.57822 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=10,a(1)=15,a(2)=27} ogf] A254363 11.3264 [-(342*x^3-427*x^2+165*x-20)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A254363 6.4722 [-(f(x)-118)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+342*x^3-10*f(x)*x-427*x^2+f(x)+165*x-20) ogf] A254364 6.10450 [-(2754*x^4-4081*x^3+2107*x^2-455*x+35)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254365 11.7396 [-(74*x^2-69*x+15)/(2*x-1)/(3*x-1)/(x-1) ogf] A254365 6.52201 [(f(x)+377)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+74*x^2-f(x)-69*x+15) ogf] A254365 6.57822 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=15,a(1)=21,a(2)=35} ogf] A254366 4.74471 [-(f(x)-141)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+638*x^3-10*f(x)*x-777*x^2+f(x)+294*x-35) ogf] A254366 8.30325 [-(638*x^3-777*x^2+294*x-35)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A254367 6.15999 [-2*(2972*x^4-4302*x^3+2177*x^2-462*x+35)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254368 15.3333 [-(107*x^2-98*x+21)/(x-1)/(3*x-1)/(2*x-1) ogf] A254368 8.36359 [-(f(x)-81)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+107*x^2-f(x)-98*x+21) ogf] A254368 8.50420 [-(-642*x^4+1176*x^3-814*x^2+248*x-28)/(-642*x^5+1765*x^4-1846*x^3+926*x^2-224*x+21) lgdogf] A254368 8.72414 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=21,a(1)=28,a(2)=44} ogf] A254369 11.1496 [-2*(533*x^3-638*x^2+238*x-28)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A254369 6.51594 [(37*f(x)-8033)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+1066*x^3-10*f(x)*x-1276*x^2+f(x)+476*x-56) ogf] A254370 6.02979 [-6*(1879*x^4-2675*x^3+1335*x^2-280*x+21)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254371 12.6802 [-(3*x^2+18*x+9)/(x^3+3*x^2-3*x-1) lgdogf] A254371 4.14176 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-21-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=8,a(2)=72,a(3)=288} ogf] A254371 9.81202 [-8*x*(x^2+4*x+1)/(x-1)^5 ogf] A254372 7.19684 [-(-2*x^10+3*x^9-2*x^7-2*x^6+4*x^5-2*x^4-2*x^3+3*x-2)/(-x^12+1) ogf_with_Euler_transform] A254373 8.03620 [-(x^8+5*x^7+4*x^6+7*x^5+5*x^4+7*x^3+4*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A254374 8.03620 [-(x^8+6*x^7+7*x^6+4*x^5+6*x^4+4*x^3+7*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A254375 8.03620 [-(x^8+8*x^7+4*x^6+7*x^5+8*x^4+7*x^3+4*x^2+8*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A254381 16.0103 [18/(-12*x+1) lgdegf] A254381 5.27812 [{(-12*n-30)*a(n+1)+a(n+2),a(0)=1,a(1)=18} ogf] A254381 7.64852 [-1728*f(x)^2*x^3+432*f(x)^2*x^2-36*f(x)^2*x+f(x)^2-1 egf] A254399 7.85265 [x*(x-1)*(x^2+2*x-2)/(x^2-3*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A254407 12.5690 [x*(4*x+7)/(x-1)^4 ogf] A254407 16.3397 [-(12*x+32)/(4*x^2+3*x-7) lgdogf] A254407 5.33977 [{(14+7*n)*a(n+3)+(-35-3*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=7,a(2)=32} ogf] A254407 5.8776 [(17103350*f(x)+84364463)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-7*x) ogf] A254408 4.69105 [{(-16*n^2-48*n-36)*a(n+1)+(n^2+2*n+1)*a(n+2),a(0)=0,a(1)=8} ogf] A254432 4.48123 [(9*x^12+69*x^11-60*x^10+12*x^9-5*x^7-25*x^6-2*x^3-2*x^2-2*x+1)/(3*x-1)/(x-1) ogf] A254443 7.44283 [(9*x^4+4*x^3-136*x^2-40*x-35)/(x-1)/(x^4-20*x^2+1) ogf] A254460 5.92209 [-(64*x^5+8*x^4+64*x^3-x^2-8*x-1)/(4*x-1)/(x-1)/(x^2+x+1)/(16*x^2+4*x+1) ogf] A254463 4.91059 [-2*(12276*x^5-20578*x^4+12831*x^3-3766*x^2+525*x-28)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254464 3.88924 [-6*(40188*x^6-74058*x^5+52931*x^4-19005*x^3+3647*x^2-357*x+14)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A254465 5.88939 [-6*(10036*x^5-16454*x^4+10065*x^3-2905*x^2+399*x-21)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254466 3.93178 [-6*(110440*x^6-199272*x^5+139840*x^4-49405*x^3+9345*x^2-903*x+35)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A254467 4.42081 [-6*(21310*x^5-34383*x^4+20750*x^3-5920*x^2+805*x-42)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A254468 3.84392 [-6*(259610*x^6-461263*x^5+319473*x^4-111595*x^3+20900*x^2-2002*x+77)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A254469 11.7496 [-(8*x^2+38*x+14)/(x^3+3*x^2-3*x-1) lgdogf] A254469 3.85808 [{(n+4)*a(n+4)+(-5+3*n)*a(n+3)+(-44-3*n)*a(n+2)+(-9-n)*a(n+1),a(0)=1,a(1)=14,a(2)=96,a(3)=450} ogf] A254469 5.87480 [(x^2+4*x+1)/(x-1)^10 ogf] A254470 4.14274 [{(4*n^2+73*n+333)*a(n+1)+(-8*n^2-96*n-226)*a(n+2)+(4*n^2+23*n+33)*a(n+3),a(0)=1,a(1)=22,a(2)=198} ogf] A254470 5.00919 [-(x+1)*(x^2+10*x+1)/(x-1)^11 ogf] A254470 9.70134 [-(8*x^3+102*x^2+132*x+22)/(x^4+10*x^3-10*x-1) lgdogf] A254471 4.27508 [(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^12 ogf] A254471 6.91205 [-(-8*x^4-238*x^3-738*x^2-418*x-38)/(-x^5-25*x^4-40*x^3+40*x^2+25*x+1) lgdogf] A254473 10.0701 [(x^3+29*x^2+59*x+7)/(x-1)^4 ogf] A254473 3.82472 [{(622*n^2+2567*n+2646)*a(n+1)+(-6092*n^2-47254*n-104853)*a(n+2)+(5470*n^2+30143*n+41199)*a(n+3),a(0)=7,a(1)=87,a(2)=335} ogf] A254473 5.30361 [(195264*f(x)+8139067)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-29*x^2+f(x)-59*x-7) ogf] A254473 9.14415 [-(x^3+61*x^2+235*x+87)/(x^4+28*x^3+30*x^2-52*x-7) lgdogf] A254474 13.1256 [-x*(27*x+1)/(x-1)^3 ogf] A254474 14.6400 [-(-54*x-30)/(-27*x^2+26*x+1) lgdogf] A254474 6.09026 [-(1934128*f(x)-17847789)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+27*x^2-f(x)+x) ogf] A254474 6.79716 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=30} ogf] A254523 16.3742 [(f(x)*x-f(x)+1)^2 egf] A254525 99.9999 Evaluated at exp(-Pi) 3/2*exp(-1/6*Pi)/GAMMA(3/4)^2*GAMMA(11/12)*GAMMA(7/12) A254527 12.4420 [-(x^2+10*x+13)/(x^3+3*x^2-x-3) lgdogf] A254527 13.4618 [-2*(x+3)*(x+1)/(x-1)^3 ogf] A254527 7.07904 [(764*f(x)-6069)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+8*x+6) ogf] A254527 7.20324 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=26,a(2)=62} ogf] A254594 11.2408 [1/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A254594 25.1009 [x*(x^2+x+2) ogf_with_Euler_transform] A254598 11.8958 [-(-7*x^2-14*x-9)/(-7*x^3-15*x^2-7*x+1) lgdogf] A254598 17.4472 [-(x+1)/(7*x^2+8*x-1) ogf] A254598 9.12936 [(86*f(x)-5)*(7*f(x)*x^2+8*f(x)*x-f(x)+x+1) ogf] A254598 9.57468 [{a(n+2)-8*a(n+1)-7*a(n),a(0)=1,a(1)=9} ogf] A254599 10.7240 [-(-8*x^2-16*x-10)/(-8*x^3-17*x^2-8*x+1) lgdogf] A254599 15.9668 [-(x+1)/(8*x^2+9*x-1) ogf] A254599 8.35474 [(53*f(x)-3)*(8*f(x)*x^2+9*f(x)*x-f(x)+x+1) ogf] A254599 8.65671 [{a(n+2)-9*a(n+1)-8*a(n),a(0)=1,a(1)=10} ogf] A254600 10.4180 [-(-9*x^2-18*x-11)/(-9*x^3-19*x^2-9*x+1) lgdogf] A254600 15.1740 [-(x+1)/(9*x^2+10*x-1) ogf] A254600 7.93188 [(128*f(x)-7)*(9*f(x)*x^2+10*f(x)*x-f(x)+x+1) ogf] A254600 8.30958 [{a(n+2)-10*a(n+1)-9*a(n),a(0)=1,a(1)=11} ogf] A254601 10.7473 [-(-4*x^2-8*x-7)/(-4*x^3-10*x^2-5*x+1) lgdogf] A254601 15.5239 [-(x+1)/(4*x^2+6*x-1) ogf] A254601 8.12297 [(50*f(x)-1)*(4*f(x)*x^2+6*f(x)*x-f(x)+x+1) ogf] A254601 8.51921 [{a(n+2)-6*a(n+1)-4*a(n),a(0)=1,a(1)=7} ogf] A254602 11.2402 [-(-5*x^2-10*x-8)/(-5*x^3-12*x^2-6*x+1) lgdogf] A254602 16.4856 [-(x+1)/(5*x^2+7*x-1) ogf] A254602 8.62617 [(33*f(x)-1)*(5*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A254602 9.04695 [{a(n+2)-7*a(n+1)-5*a(n),a(0)=1,a(1)=8} ogf] A254612 5.79398 [-(-2*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^9-1) ogf_with_Euler_transform] A254613 6.02731 [-(-2*x^8+x^7+x^6-3*x^5+x^4+x^3-3*x^2+x+1)/(x^9-1) ogf_with_Euler_transform] A254619 16.9780 [24/(-16*x+1) lgdegf] A254619 5.59713 [{(-16*n-40)*a(n+1)+a(n+2),a(0)=1,a(1)=24} ogf] A254619 5.85446 [-4096*f(x)^2*x^3+768*f(x)^2*x^2-48*f(x)^2*x+f(x)^2-1 egf] A254620 19.7929 [54/(-36*x+1) lgdegf] A254620 6.52514 [{(-36*n-90)*a(n+1)+a(n+2),a(0)=1,a(1)=54} ogf] A254620 6.59764 [-46656*f(x)^2*x^3+3888*f(x)^2*x^2-108*f(x)^2*x+f(x)^2-1 egf] A254626 7.79307 [-(x^2+1)*(x+1)^2/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A254627 8.17669 [(x^3+9*x^2-x-1)/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A254628 7.18083 [-(x^4+5*x^3-52*x^2+5*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A254633 13.9961 [hypergeom([1/2,3/2],[3],64*x) ogf] A254633 5.55399 [{(-64*n^2-256*n-240)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=16} ogf] A254640 4.56536 [(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^10 ogf] A254641 3.85423 [-(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^11 ogf] A254644 3.75844 [(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^10 ogf] A254652 6.75567 [-(x^2+7*x+1)*(x^2-4*x+1)/(x-1)/(x^4-110*x^2+1) ogf] A254653 8.08489 [(2*x^3+55*x^2-2*x-1)/(x-1)/(x^4-110*x^2+1) ogf] A254654 6.08667 [-(x^4+21*x^3-548*x^2+21*x+1)/(x-1)/(x^2-110*x+1)/(x^2+110*x+1) ogf] A254657 10.6558 [-(-6*x^2-12*x-9)/(-6*x^3-14*x^2-7*x+1) lgdogf] A254657 15.6285 [-(x+1)/(6*x^2+8*x-1) ogf] A254657 7.7284 [-(730*f(x)-1)*(6*f(x)*x^2+8*f(x)*x-f(x)+x+1) ogf] A254657 8.57663 [{a(n+2)-8*a(n+1)-6*a(n),a(0)=1,a(1)=9} ogf] A254658 11.3655 [-(-4*x^2-8*x-8)/(-4*x^3-11*x^2-6*x+1) lgdogf] A254658 16.4169 [-(x+1)/(4*x^2+7*x-1) ogf] A254658 9.00926 [{a(n+2)-7*a(n+1)-4*a(n),a(0)=1,a(1)=8} ogf] A254658 9.59427 [f(x)*(4*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A254659 10.6097 [-(-5*x^2-10*x-9)/(-5*x^3-13*x^2-7*x+1) lgdogf] A254659 15.5609 [-(x+1)/(5*x^2+8*x-1) ogf] A254659 8.14233 [(82*f(x)-1)*(5*f(x)*x^2+8*f(x)*x-f(x)+x+1) ogf] A254659 8.53951 [{a(n+2)-8*a(n+1)-5*a(n),a(0)=1,a(1)=9} ogf] A254660 10.7703 [-(-2*x^2-4*x-7)/(-2*x^3-8*x^2-5*x+1) lgdogf] A254660 15.3178 [-(x+1)/(2*x^2+6*x-1) ogf] A254660 8.01515 [(46*f(x)+3)*(2*f(x)*x^2+6*f(x)*x-f(x)+x+1) ogf] A254660 8.40612 [{a(n+2)-6*a(n+1)-2*a(n),a(0)=1,a(1)=7} ogf] A254662 11.2704 [-(-3*x^2-6*x-8)/(-3*x^3-10*x^2-6*x+1) lgdogf] A254662 16.2795 [-(x+1)/(3*x^2+7*x-1) ogf] A254662 8.51834 [(31*f(x)+1)*(3*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A254662 8.93385 [{a(n+2)-7*a(n+1)-3*a(n),a(0)=1,a(1)=8} ogf] A254663 11.3982 [-(-2*x^2-4*x-8)/(-2*x^3-9*x^2-6*x+1) lgdogf] A254663 16.2108 [-(x+1)/(2*x^2+7*x-1) ogf] A254663 8.4824 [(15*f(x)+1)*(2*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A254663 8.89616 [{a(n+2)-7*a(n+1)-2*a(n),a(0)=1,a(1)=8} ogf] A254664 13.8469 [-(x+1)/(3*x^2+8*x-1) ogf] A254664 6.77296 [-(652*f(x)+77)*(3*f(x)*x^2+8*f(x)*x-f(x)+x+1) ogf] A254664 7.59893 [{a(n+2)-8*a(n+1)-3*a(n),a(0)=1,a(1)=9} ogf] A254664 9.58634 [-(-3*x^2-6*x-9)/(-3*x^3-11*x^2-7*x+1) lgdogf] A254667 13.1563 [x*(x^2-2*x+2)/(x-1)^2 ogf] A254667 17.0433 [2/(-x^3+3*x^2-4*x+2) lgdogf] A254667 6.63635 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=0,a(1)=2,a(2)=2,a(3)=3} ogf] A254667 9.99877 [-f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)+2*x ogf] A254674 7.04045 [-(x^4+9*x^3-38*x^2+9*x+1)/(x-1)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A254675 7.57747 [(12*x^3+31*x^2-12*x-1)/(x-1)/(x^2-8*x+1)/(x^2+8*x+1) ogf] A254676 6.43450 [-(x^4+234*x^3-1238*x^2+234*x+1)/(x-1)/(x^2-62*x+1)/(x^2+62*x+1) ogf] A254681 3.46944 [{(4*n^2+65*n+264)*a(n+1)+(-8*n^2-88*n-207)*a(n+2)+(4*n^2+23*n+33)*a(n+3),a(0)=1,a(1)=21,a(2)=176} ogf] A254681 4.52004 [(x+1)*(x^2+10*x+1)/(x-1)^10 ogf] A254681 8.22879 [-(7*x^3+91*x^2+121*x+21)/(x^4+10*x^3-10*x-1) lgdogf] A254682 3.88428 [-(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^11 ogf] A254685 17.7336 [1/(x^5-x^3-x^2-x+1) ogf] A254685 9.97516 [-(-5*x^4+3*x^2+2*x+1)/(-x^5+x^3+x^2+x-1) lgdogf] A254699 7.09972 [-(-x^4+6*x^3-42*x^2-130*x-133)/(-x^5+6*x^4-24*x^3-4*x^2+x+22) lgdogf] A254699 7.46195 [-(x^4-5*x^3+19*x^2+23*x+22)/(x-1)^5 ogf] A254700 6.03791 [-(x^5-6*x^4+30*x^3-24*x^2-63*x-34)/(x-1)^6 ogf] A254701 4.76737 [-(x^6-7*x^5+27*x^4-139*x^3+34*x^2+174*x+54)/(x-1)^7 ogf] A254702 4.51930 [-(x^7-8*x^6+18*x^5-122*x^4+601*x^3-96*x^2-452*x-86)/(x-1)^8 ogf] A254703 3.96373 [-(x^7-8*x^6+20*x^5+204*x^4+873*x^3-1604*x^2-1222*x-136)/(x-1)^8 ogf] A254704 4.15452 [-(x^7-8*x^6+48*x^5+472*x^4-1163*x^3-6804*x^2-2846*x-212)/(x-1)^8 ogf] A254705 3.34398 [-(x^8-9*x^7+56*x^6-614*x^5-6817*x^4-2133*x^3+17962*x^2+6100*x+334)/(x-1)^9 ogf] A254707 8.69937 [(2*x^2+1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A254708 8.86912 [(x^2+2)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A254709 7.61366 [-(x^4+x^3-6*x^2+x+1)/(x-1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A254710 8.27632 [(x^3+7*x^2-x-1)/(x-1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A254711 6.67006 [-(x^4+4*x^3-54*x^2+4*x+1)/(x-1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A254729 16.4870 [(x-1)*(x+1)*(x^2+1)/(x^2+x-1) ogf] A254729 6.41163 [{-a(n+5)+a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=4} ogf] A254729 8.41526 [-(-2*x^5-3*x^4+4*x^3-2*x-1)/(x^6+x^5-x^4-x^2-x+1) lgdogf] A254729 8.5943 [-(15*f(x)+2)*(-x^4+f(x)*x^2+f(x)*x-f(x)+1) ogf] A254745 10.1103 [-(-2*x^3-x^2+4*x-3)/(-x^4+x^3-x+1) lgdogf] A254745 13.7348 [-(x+1)/(x-1)/(x^2-x+1) ogf] A254745 22.0018 [x^5-x^2-2*x+3 ogf_with_Euler_transform] A254745 6.49949 [{a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=4} ogf] A254745 6.67838 [-(3*f(x)+109)*(f(x)*x^3-2*f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A254749 11.0905 [-(2*x-1)/(x-1)^4 ogf] A254749 14.0941 [-(2-6*x)/(-2*x^2+3*x-1) lgdogf] A254749 4.51012 [{(-n-3)*a(n+3)+(8+3*n)*a(n+2)+(-8-2*n)*a(n+1),a(0)=1,a(1)=2,a(2)=2} ogf] A254749 5.59106 [(7*f(x)-5)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A254757 13.2854 [(x+17)/(x^2-6*x+1) ogf] A254757 6.79033 [(584*f(x)+681)*(f(x)*x^2-6*f(x)*x+f(x)-x-17) ogf] A254757 7.18975 [{-a(n+2)+6*a(n+1)-a(n),a(0)=17,a(1)=103} ogf] A254757 8.60745 [-(x^2+34*x-103)/(x^3+11*x^2-101*x+17) lgdogf] A254758 12.4388 [(17*x+1)/(x^2-6*x+1) ogf] A254758 6.35761 [(136*f(x)+393)*(f(x)*x^2-6*f(x)*x+f(x)-17*x-1) ogf] A254758 6.89378 [{-a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=23} ogf] A254758 8.17406 [-(17*x^2+2*x-23)/(17*x^3-101*x^2+11*x+1) lgdogf] A254759 12.2434 [-(13*x-5)/(x^2-6*x+1) ogf] A254759 6.05589 [-(92*f(x)-171)*(f(x)*x^2-6*f(x)*x+f(x)+13*x-5) ogf] A254759 6.78551 [{a(n+2)-6*a(n+1)+a(n),a(0)=5,a(1)=17} ogf] A254759 8.04567 [-(-13*x^2+10*x-17)/(-13*x^3+83*x^2-43*x+5) lgdogf] A254782 10.4776 [-(x^2-12*x+1)/(x-1)/(x^2-22*x+1) ogf] A254782 5.68276 [(2525*f(x)+16)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x+x^2-f(x)-12*x+1) ogf] A254782 5.73133 [{-a(n+3)+23*a(n+2)-23*a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=231} ogf] A254782 6.26697 [-(-x^4+24*x^3-256*x^2+44*x-11)/(-x^5+35*x^4-300*x^3+300*x^2-35*x+1) lgdogf] A254786 6.87602 [-(f(x)*x^2+f(x)*x+x^2-f(x)+x)^2 ogf] A254796 5.04435 [{(4*n^2+20*n+25)*a(n+1)-a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=25} ogf] A254847 3.79559 [-16*(256*x^8+352*x^7+132*x^6-80*x^5-112*x^4-91*x^3-66*x^2-24*x-12)/(4*x^3-2*x^2-1)/(4*x^3+4*x^2+x-1)/(4*x^3+2*x^2+1) ogf] A254855 7.51476 [-(x^4+x^3-12*x^2+x+1)/(x-1)/(x^4-26*x^2+1) ogf] A254856 8.16181 [(x^3+13*x^2-x-1)/(x-1)/(x^4-26*x^2+1) ogf] A254857 7.13745 [-(x^4+7*x^3+54*x^2+7*x+1)/(x-1)/(x^2+26*x+1)/(x^2-26*x+1) ogf] A254869 11.0064 [-(9*x^2+42*x+15)/(x^3+3*x^2-3*x-1) lgdogf] A254869 3.57842 [{(n+4)*a(n+4)+(-6+3*n)*a(n+3)+(-48-3*n)*a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=15,a(2)=111,a(3)=561} ogf] A254869 5.07986 [-(x^2+4*x+1)/(x-1)^11 ogf] A254870 4.00462 [{(4*n^2+81*n+410)*a(n+1)+(-8*n^2-104*n-245)*a(n+2)+(4*n^2+23*n+33)*a(n+3),a(0)=1,a(1)=23,a(2)=221} ogf] A254870 4.54183 [(x+1)*(x^2+10*x+1)/(x-1)^12 ogf] A254870 9.42861 [-(9*x^3+113*x^2+143*x+23)/(x^4+10*x^3-10*x-1) lgdogf] A254871 7.09474 [-(-9*x^4-264*x^3-804*x^2-444*x-39)/(-x^5-25*x^4-40*x^3+40*x^2+25*x+1) lgdogf] A254874 9.82921 [(x^3+x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A254875 9.78391 [(x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A254877 20.3344 [-x^4+x^3+x^2+2*x+1 ogf_with_Euler_transform] A254877 7.34852 [(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A254884 7.62019 [x*(3*x^4-6*x^3-3*x^2+6*x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A254895 6.84739 [-(x^4+12*x^3-58*x^2+12*x+1)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A254896 6.02925 [-(x^4+480*x^3-1762*x^2+480*x+1)/(x-1)/(x^2-98*x+1)/(x^2+98*x+1) ogf] A254962 7.55589 [-(x^4+x^3-8*x^2+x+1)/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A254963 14.3742 [-x*(4*x+7)/(x-1)^3 ogf] A254963 16.7210 [-(8*x+25)/(4*x^2+3*x-7) lgdogf] A254963 7.06318 [(49489*f(x)-206739)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+7*x) ogf] A254963 7.31544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=25} ogf] A254964 7.81249 [-(x^2+4*x+1)*(x^2-3*x+1)/(x-1)/(x^4-22*x^2+1) ogf] A254965 8.52272 [(x^3+11*x^2-x-1)/(x-1)/(x^4-22*x^2+1) ogf] A254966 6.81301 [-(x^4+6*x^3-20*x^2+6*x+1)/(x-1)/(x^2-22*x+1)/(x^2+22*x+1) ogf] A254971 3.41752 [-(2*x^10+45*x^9-96*x^8+3*x^7+356*x^6+328*x^5+72*x^4-242*x^3-146*x^2-68*x-121)/(x+1)/(x^9-3*x^8+3*x^7+4*x^6+2*x^5-x^4-4*x^3+x^2-3*x+1) ogf] A255020 6.17182 [-(4*x^6+34*x^5+66*x^4+74*x^3+63*x^2+28*x+26)/(2*x^6+4*x^5+4*x^4+3*x^3+x-1) ogf] A255021 4.03752 [-(2*x^8+31*x^7+68*x^6+73*x^5-10*x^4-124*x^3-163*x^2-80*x-54)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A255043 10.0765 [-(9*x^2+18*x-11)/(9*x^3-x^2-9*x+1) lgdogf] A255043 14.4577 [2*(x+1)/(9*x-1)/(x-1) ogf] A255043 7.55742 [(46*f(x)+29)*(9*f(x)*x^2-10*f(x)*x+f(x)-2*x-2) ogf] A255043 7.91729 [{-a(n+2)+10*a(n+1)-9*a(n),a(0)=2,a(1)=22} ogf] A255047 10.4895 [-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)-2*x+1 ogf] A255047 10.6394 [-(2*x^2-1)/(4*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A255047 14.0520 [(2*x^2-2*x+1)/(2*x-1)/(x-1) ogf] A255047 7.30154 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A255050 10.1015 [-(x^3-4*x^2+6*x-4)/(x^4-4*x^3+6*x^2-4*x+1) ogf_with_Euler_transform] A255051 8.31553 [-(2*x^7-2*x^6-x^5+x^4-2*x^3-6*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A255052 7.73195 [-(-x^4+5*x^3-10*x^2+10*x-5)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) ogf_with_Euler_transform] A255075 4.29534 [-(59675*f(x)+5705771)*(25*f(x)*x^4-25*f(x)*x^3-520*x^4+1816*x^3+5*f(x)*x-936*x^2-f(x)-364*x+208) ogf] A255075 7.34981 [4*(130*x^4-454*x^3+234*x^2+91*x-52)/(5*x^2-1)/(5*x^2-5*x+1) ogf] A255102 5.32391 [-(26*x^5-69*x^4+210*x^3-135*x^2+30*x-66)/(x-1)/(x^5-2*x^4+7*x^3-x^2+2*x-1) ogf] A255103 3.92780 [-(66*x^8-172*x^7-69*x^6+438*x^5-1014*x^4+384*x^3+237*x^2-110*x+147)/(x^9-3*x^8+7*x^6-18*x^5+12*x^4+x^3-3*x^2+3*x-1) ogf] A255108 6.72378 [-(3*x^5-17*x^4+39*x^3-45*x^2+28*x-9)/(x-1)^6 ogf] A255109 6.55966 [-(x^2-3*x+3)*(6*x^3-18*x^2+20*x-9)/(x-1)^6 ogf] A255110 6.25860 [-(11*x^5-78*x^4+237*x^3-360*x^2+270*x-81)/(x-1)^6 ogf] A255111 5.21608 [(27*x^7-156*x^6+339*x^5-219*x^4-447*x^3+1050*x^2-836*x+243)/(x-1)^6 ogf] A255112 4.72140 [(144*x^8-594*x^7+618*x^6+591*x^5-1272*x^4-728*x^3+3096*x^2-2583*x+729)/(x-1)^6 ogf] A255113 4.29188 [(435*x^9-1354*x^8+564*x^7+1230*x^6+1405*x^5-4614*x^4-1248*x^3+9361*x^2-7965*x+2187)/(x-1)^6 ogf] A255114 3.70713 [(1008*x^10-2466*x^9-168*x^8+3385*x^7-2967*x^6+11682*x^5-20126*x^4-1050*x^3+28659*x^2-24517*x+6561)/(x-1)^6 ogf] A255115 15.6282 [-(x^2+1)/(2*x^3+2*x-1) ogf] A255115 8.14660 [{a(n+3)-2*a(n+2)-2*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A255115 8.50866 [(12*f(x)-5)*(2*f(x)*x^3+2*f(x)*x+x^2-f(x)+1) ogf] A255115 9.57225 [-(-2*x^4-4*x^2-2*x-2)/(-2*x^5-4*x^3+x^2-2*x+1) lgdogf] A255116 15.2012 [-(x^2+1)/(3*x^3+3*x-1) ogf] A255116 7.84063 [{a(n+3)-3*a(n+2)-3*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A255116 8.18527 [(27*f(x)-10)*(3*f(x)*x^3+3*f(x)*x+x^2-f(x)+1) ogf] A255116 9.31075 [-(-3*x^4-6*x^2-2*x-3)/(-3*x^5-6*x^3+x^2-3*x+1) lgdogf] A255117 14.9120 [-(x^2+1)/(4*x^3+4*x-1) ogf] A255117 7.69143 [{a(n+3)-4*a(n+2)-4*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A255117 8.0295 [(48*f(x)-17)*(4*f(x)*x^3+4*f(x)*x+x^2-f(x)+1) ogf] A255117 9.13358 [-(-4*x^4-8*x^2-2*x-4)/(-4*x^5-8*x^3+x^2-4*x+1) lgdogf] A255118 15.2417 [-(x^2+1)/(5*x^3+5*x-1) ogf] A255118 7.86149 [{a(n+3)-5*a(n+2)-5*a(n),a(0)=1,a(1)=5,a(2)=26} ogf] A255118 8.20706 [(75*f(x)-26)*(5*f(x)*x^3+5*f(x)*x+x^2-f(x)+1) ogf] A255118 9.10783 [-(-5*x^4-10*x^2-2*x-5)/(-5*x^5-10*x^3+x^2-5*x+1) lgdogf] A255119 13.7520 [-(x^2+1)/(6*x^3+6*x-1) ogf] A255119 7.09313 [{a(n+3)-6*a(n+2)-6*a(n),a(0)=1,a(1)=6,a(2)=37} ogf] A255119 7.32443 [(108*f(x)-37)*(6*f(x)*x^3+6*f(x)*x+x^2-f(x)+1) ogf] A255119 8.21765 [-(-6*x^4-12*x^2-2*x-6)/(-6*x^5-12*x^3+x^2-6*x+1) lgdogf] A255138 5.08751 [-(674*f(x)+837)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+2*x^2+f(x)+x-2) ogf] A255138 5.40548 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=2,a(1)=1,a(2)=7} ogf] A255138 9.92482 [-(2*x^2+x-2)/(x-1)/(2*x+1)/(2*x-1) ogf] A255152 6.04238 [-(26*x^5+38*x^4+27*x^3+45*x^2+6*x+28)/(2*x^6+2*x^5+x^4+3*x^3-x^2+2*x-1) ogf] A255153 3.44709 [-(27*x^10+91*x^9+195*x^8+230*x^7+74*x^6-10*x^5+4*x^4-76*x^3-177*x^2-96*x-62)/(x^11+3*x^10+6*x^9+6*x^8-x^6-4*x^4-7*x^3-2*x^2-x+1) ogf] A255162 12.6366 [-2*(1+12*x)/(12*x^2-12*x-1) ogf] A255162 7.30789 [{-a(n+2)-12*a(n+1)+12*a(n),a(0)=2,a(1)=0} ogf] A255162 8.91993 [-(-144*x^2-24*x)/(-144*x^3+132*x^2+24*x+1) lgdogf] A255162 9.19022 [12*f(x)*x^2-12*f(x)*x-f(x)+24*x+2 ogf] A255163 12.4525 [-(1+14*x)/(12*x^2-12*x-1) ogf] A255163 6.79229 [(f(x)-1)*(12*f(x)*x^2-12*f(x)*x-f(x)+14*x+1) ogf] A255163 7.11573 [{-a(n+2)-12*a(n+1)+12*a(n),a(0)=1,a(1)=2} ogf] A255163 8.30168 [-(-168*x^2-24*x-2)/(-168*x^3+156*x^2+26*x+1) lgdogf] A255175 13.8687 [-(2*x^2+x)/(-x^2+1) ogf_with_Euler_transform] A255176 13.7680 [{a(n+2)-a(n+1),a(0)=3,a(1)=4} ogf] A255176 22.0287 [-f(x)*x+f(x)-x-3 ogf] A255176 26.7917 [-(x+3)/(x-1) ogf] A255176 27.5359 [-4/(x^2+2*x-3) lgdogf] A255177 4.58786 [(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^6 ogf] A255178 4.69334 [-(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^7 ogf] A255179 3.99381 [(x^8+502*x^7+14608*x^6+88234*x^5+156190*x^4+88234*x^3+14608*x^2+502*x+1)/(x-1)^8 ogf] A255181 6.19148 [-(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^5 ogf] A255182 5.11031 [(x+1)*(x^6+246*x^5+4047*x^4+11572*x^3+4047*x^2+246*x+1)/(x-1)^6 ogf] A255183 3.27768 [-(x^8+502*x^7+14608*x^6+88234*x^5+156190*x^4+88234*x^3+14608*x^2+502*x+1)/(x-1)^7 ogf] A255184 12.9335 [-x*(22*x+1)/(x-1)^3 ogf] A255184 14.4258 [-(-44*x-25)/(-22*x^2+21*x+1) lgdogf] A255184 6.09871 [-(444889*f(x)-3364452)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+22*x^2-f(x)+x) ogf] A255184 6.69769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=25} ogf] A255185 12.9335 [-x*(23*x+1)/(x-1)^3 ogf] A255185 14.4258 [-(-46*x-26)/(-23*x^2+22*x+1) lgdogf] A255185 6.09871 [-(150336*f(x)-1186975)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+23*x^2-f(x)+x) ogf] A255185 6.69769 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=26} ogf] A255186 12.9975 [-x*(24*x+1)/(x-1)^3 ogf] A255186 14.4972 [-(-48*x-27)/(-24*x^2+23*x+1) lgdogf] A255186 6.1289 [-(618125*f(x)-5086263)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+x) ogf] A255186 6.73085 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=27} ogf] A255187 13.0615 [-x*(26*x+1)/(x-1)^3 ogf] A255187 14.5686 [-(-52*x-29)/(-26*x^2+25*x+1) lgdogf] A255187 6.1591 [-(837621*f(x)-7450394)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+26*x^2-f(x)+x) ogf] A255187 6.76400 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=29} ogf] A255211 12.4781 [x*(4*x+3)/(x-1)^4 ogf] A255211 16.2215 [-(12*x+16)/(4*x^2-x-3) lgdogf] A255211 5.33601 [{(6+3*n)*a(n+3)+(-15+n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=3,a(2)=16} ogf] A255211 5.96378 [(914438*f(x)+2612483)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-4*x^2+f(x)-3*x) ogf] A255220 3.67149 [(13+19*f(x))*(f(x)*x^4-f(x)*x^3-7*x^4+f(x)*x^2+17*x^3-2*f(x)*x-13*x^2+f(x)+18*x-23) ogf] A255220 6.22917 [(7*x^4-17*x^3+13*x^2-18*x+23)/(x-1)/(x^3+x-1) ogf] A255221 4.89221 [-(-12+19*f(x))*(f(x)*x^4-f(x)*x^3-7*x^4+f(x)*x^2+20*x^3-2*f(x)*x-10*x^2+f(x)+24*x-23) ogf] A255221 8.52015 [(7*x^4-20*x^3+10*x^2-24*x+23)/(x-1)/(x^3+x-1) ogf] A255222 5.26592 [(103*f(x)+241)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+19*x^3-2*f(x)*x-3*x^2+f(x)+16*x-22) ogf] A255222 9.47866 [-(19*x^3-3*x^2+16*x-22)/(x-1)/(x^3+x-1) ogf] A255223 5.328 [(91*f(x)+139)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+28*x^3-2*f(x)*x-3*x^2+f(x)+25*x-31) ogf] A255223 9.52380 [-(28*x^3-3*x^2+25*x-31)/(x-1)/(x^3+x-1) ogf] A255224 5.291 [(241*f(x)+307)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+40*x^3-2*f(x)*x-3*x^2+f(x)+37*x-43) ogf] A255224 9.52380 [-(40*x^3-3*x^2+37*x-43)/(x-1)/(x^3+x-1) ogf] A255225 5.31607 [(601*f(x)+694)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+58*x^3-2*f(x)*x-3*x^2+f(x)+55*x-61) ogf] A255225 9.56894 [-(58*x^3-3*x^2+55*x-61)/(x-1)/(x^3+x-1) ogf] A255226 5.15158 [-(5779*f(x)+6313)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+85*x^3-2*f(x)*x-3*x^2+f(x)+82*x-88) ogf] A255226 9.65921 [-(85*x^3-3*x^2+82*x-88)/(x-1)/(x^3+x-1) ogf] A255227 4.84829 [-(3307*f(x)+3499)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+124*x^3-2*f(x)*x-3*x^2+f(x)+121*x-127) ogf] A255227 8.93722 [-(124*x^3-3*x^2+121*x-127)/(x-1)/(x^3+x-1) ogf] A255236 10.5649 [-(x^2+10*x-31)/(x^3-x^2-29*x+5) lgdogf] A255236 15.7300 [(x+5)/(x^2-6*x+1) ogf] A255236 8.04374 [(176*f(x)+81)*(f(x)*x^2-6*f(x)*x+f(x)-x-5) ogf] A255236 8.52829 [{-a(n+2)+6*a(n+1)-a(n),a(0)=5,a(1)=31} ogf] A255252 10.9489 [-(-3*x^3-x^2-x-1)/(x^4-1) ogf_with_Euler_transform] A255252 99.9999 Evaluated at exp(-Pi) 1/8*exp(3/8*Pi)*Pi^(3/4)*2^(7/8)/GAMMA(3/4)^3 A255257 10.7888 [-(3*x^3-x^2+5*x-1)/(-x^4+1) ogf_with_Euler_transform] A255257 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(3/4)*2^(1/8)/GAMMA(3/4)^3 A255258 3.98736 [-(-2*x^18-3*x^16-x^15-x^2+x-2)/(x^19+x^18+x^17+x^16+x^3+x^2+x+1) ogf_with_Euler_transform] A255260 11.6136 [(117*x^12+35*x^10+5*x^5+1)/(x-1)^2 ogf] A255271 16.2167 [-(-x+4)/(-x^2+2*x-1) ogf_with_Euler_transform] A255276 4.34675 [-(128*x^7-128*x^6+36*x^5+49*x^4-56*x^3+20*x^2-1)/(32*x^8+24*x^7-164*x^6+236*x^5-145*x^4+24*x^3+16*x^2-8*x+1) ogf] A255278 4.84826 [-(12*x^7+12*x^6+6*x^5-6*x^4+3*x^3-4*x-1)/(x+1)/(12*x^7-8*x^6+2*x^5+2*x^4+9*x^3-2*x^2-4*x+1) ogf] A255280 5.74812 [-(16*x^6+16*x^5-12*x^3+7*x^2-2*x-1)/(16*x^7+16*x^6-16*x^4+9*x^3+3*x^2-5*x+1) ogf] A255282 4.08332 [-(6*x^9-2*x^8+9*x^7-2*x^5+5*x^4-7*x^3-4*x^2+2*x+1)/(10*x^10+22*x^9-11*x^8+31*x^7-24*x^6+3*x^5+18*x^4-21*x^3+5*x-1) ogf] A255284 12.0448 [-(4*x+1)*(x-1)/(4*x-1)/(7*x^2-1) ogf] A255284 6.22316 [-(49*f(x)-1252)*(28*f(x)*x^3-7*f(x)*x^2-4*f(x)*x+4*x^2+f(x)-3*x-1) ogf] A255284 6.55070 [{a(n+3)-4*a(n+2)-7*a(n+1)+28*a(n),a(0)=1,a(1)=7,a(2)=31} ogf] A255284 6.97925 [-(-112*x^4+168*x^3+47*x^2-6*x-7)/(-112*x^5+112*x^4+23*x^3-23*x^2-x+1) lgdogf] A255296 12.2846 [-(2*x+1)*(x-1)/(2*x-1)/(2*x^2+3*x-1) ogf] A255296 6.46002 [-(38*f(x)+7)*(4*f(x)*x^3+4*f(x)*x^2-5*f(x)*x+2*x^2+f(x)-x-1) ogf] A255296 6.63153 [{a(n+3)-5*a(n+2)+4*a(n+1)+4*a(n),a(0)=1,a(1)=6,a(2)=24} ogf] A255296 7.64656 [-(-8*x^4+8*x^3+6*x^2+12*x-6)/(-8*x^5-4*x^4+18*x^3-3*x^2-4*x+1) lgdogf] A255299 9.39103 [-(x-1)*(2*x^6-2*x^5+4*x^4+x^3-x^2+x-1)/(4*x^8-10*x^7+20*x^6-12*x^5+3*x^4+4*x^3-10*x^2+6*x-1) ogf] A255301 12.4083 [-(x-1)*(2*x^2+x+1)/(4*x^4+2*x^3+x^2-4*x+1) ogf] A255301 6.29031 [{-a(n+4)+4*a(n+3)-a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=16,a(3)=56} ogf] A255301 6.6117 [-(3*f(x)-8)*(4*f(x)*x^4+2*f(x)*x^3+f(x)*x^2+2*x^3-4*f(x)*x-x^2+f(x)-1) ogf] A255301 8.88043 [-(8*x^6-8*x^5-4*x^4-16*x^2+4)/(8*x^7-13*x^4+4*x^3-2*x^2+4*x-1) lgdogf] A255303 11.1218 [-(2*x^3+2*x^2-x+1)/(2*x^2+3*x-1)/(2*x^2-2*x+1) ogf] A255303 6.03082 [-(97*f(x)-9)*(4*f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2+2*x^3+5*f(x)*x+2*x^2-f(x)-x+1) ogf] A255303 6.85100 [-(-8*x^6-16*x^5-4*x^4+8*x^3-8*x^2+8*x-4)/(-8*x^7-12*x^6+12*x^5-16*x^3+13*x^2-6*x+1) lgdogf] A255317 99.9999 Evaluated at exp(-Pi) -1/6*exp(19/24*Pi)*Pi^(3/2)*2^(3/8)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^4 A255318 99.9999 Evaluated at exp(-Pi) 1/8*exp(11/24*Pi)*Pi^(1/2)*2^(3/8)/GAMMA(3/4)^8*GAMMA(11/12)^3*GAMMA(7/12)^3 A255347 13.2558 [-x^9+2*x^7-x^5+x^4-2*x^3+x^2+2 ogf_with_Euler_transform] A255347 7.11846 [x*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x-1)^2/(x^4+1)^2 ogf] A255353 8.25019 [-(x^8-8*x^5-x^3+6*x^2+3*x+2)/(x-1)/(x^2+x+1)/(x^6-7*x^3+1) ogf] A255365 4.46174 [-(x^37+2*x^34+x^21-x^15+x^5+2*x^2)/(-x^38+x^32-x^6+1) ogf_with_Euler_transform] A255368 17.0063 [2*x^5-x^3-2*x^2+x-2 ogf_with_Euler_transform] A255368 5.51285 [{(-n-4)*a(n+1)+(-n-1)*a(n+4),a(0)=0,a(1)=1,a(2)=-2,a(3)=2} ogf] A255368 9.09262 [x*(x^2+1)*(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A255371 4.78133 [-(59189*f(x)+1571)*(90*f(x)*x^4-99*f(x)*x^3+109*f(x)*x^2-x^3-20*f(x)*x+2*x^2+f(x)-x) ogf] A255371 6.30458 [-(-180*x^4+459*x^3-297*x^2+198*x-18)/(-90*x^5+189*x^4-208*x^3+129*x^2-21*x+1) lgdogf] A255371 9.13356 [x*(x-1)^2/(10*x-1)/(9*x^3-9*x^2+10*x-1) ogf] A255372 7.47599 [x^2*(x-1)^2/(10*x-1)/(9*x^4-9*x^3+10*x-1) ogf] A255373 7.62457 [x^3*(x-1)^2/(10*x-1)/(9*x^5-9*x^4+10*x-1) ogf] A255374 7.76904 [x^4*(x-1)^2/(10*x-1)/(9*x^6-9*x^5+10*x-1) ogf] A255375 7.90981 [x^5*(x-1)^2/(10*x-1)/(9*x^7-9*x^6+10*x-1) ogf] A255376 8.04720 [x^6*(x-1)^2/(10*x-1)/(9*x^8-9*x^7+10*x-1) ogf] A255377 8.09155 [x^7*(x-1)^2/(10*x-1)/(9*x^9-9*x^8+10*x-1) ogf] A255378 8.04469 [x^8*(x-1)^2/(10*x-1)/(9*x^10-9*x^9+10*x-1) ogf] A255379 7.99728 [x^9*(x-1)^2/(10*x-1)/(9*x^11-9*x^10+10*x-1) ogf] A255380 7.21977 [x^10*(x-1)^2/(10*x-1)/(9*x^12-9*x^11+10*x-1) ogf] A255381 12.8923 [(x-1)^2/(10*x-1)^2 ogf] A255381 18.5121 [-18/(-10*x^2+11*x-1) lgdogf] A255381 6.68492 [{-a(n+3)+20*a(n+2)-100*a(n+1),a(0)=1,a(1)=18,a(2)=261} ogf] A255381 7.14823 [(539*f(x)+1061)*(100*f(x)*x^2-20*f(x)*x-x^2+f(x)+2*x-1) ogf] A255386 7.08933 [-2*x^4*(x-1)^2/(x^2-x+1)/(x^2+x-1)^3 ogf] A255386 8.30900 [-(6*x^4-10*x^3+4*x^2-2)/(x^5-x^4-x^3+3*x^2-3*x+1) lgdogf] A255413 12.9980 [-(11*x^3+39*x^2+51*x+19)/(11*x^4+14*x^3-6*x^2-14*x-5) lgdogf] A255413 17.9497 [(11*x^2+14*x+5)/(x+1)/(x-1)^2 ogf] A255413 9.50276 [(2710*f(x)-3897)*(f(x)*x^3-f(x)*x^2-f(x)*x-11*x^2+f(x)-14*x-5) ogf] A255413 9.91956 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=5,a(1)=19,a(2)=35} ogf] A255414 9.95291 [(19*x^8+28*x^7+26*x^6+24*x^5+28*x^4+26*x^3+28*x^2+24*x+7)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A255433 5.85454 [{(-n^3-6*n^2-12*n-9)*a(n+1)+a(n+2),a(0)=1,a(1)=2} ogf] A255442 14.7757 [-(3*x+1)*(x-1)/(3*x-1)/(3*x^2-1) ogf] A255442 7.76998 [-(7*f(x)+18)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+3*x^2+f(x)-2*x-1) ogf] A255442 7.97627 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=1,a(1)=5,a(2)=15} ogf] A255442 9.10422 [-(-27*x^4+36*x^3+12*x^2-5)/(-27*x^5+27*x^4+12*x^3-12*x^2-x+1) lgdogf] A255444 6.08590 [(x-1)*(2*x^6+4*x^5+7*x^4+2*x+1)/(4*x^9-2*x^8-14*x^7-11*x^6+26*x^5-7*x^4-8*x^3+x^2+4*x-1) ogf] A255447 10.5616 [-(x-1)*(x+1)*(x^2-x-1)/(x^2+x-1)/(11*x^3-5*x^2-3*x+1) ogf] A255449 7.66701 [-(x-1)*(6*x^4+2*x^3+x^2-1)/(10*x^6+10*x^5-15*x^4+8*x^3-10*x^2+6*x-1) ogf] A255451 15.9533 [(x+1)/(8*x^4+4*x^3-x^2-4*x+1) ogf] A255451 7.66259 [-(75*f(x)-32)*(8*f(x)*x^4+4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A255451 9.73150 [-(24*x^4+40*x^3+11*x^2-2*x-5)/(8*x^5+12*x^4+3*x^3-5*x^2-3*x+1) lgdogf] A255453 11.1355 [-(4*x^3-2*x^2+x-1)/(x-1)/(4*x^3-6*x^2+5*x-1) ogf] A255453 6.06691 [-(59*f(x)+26)*(4*f(x)*x^4-10*f(x)*x^3+11*f(x)*x^2+4*x^3-6*f(x)*x-2*x^2+f(x)+x-1) ogf] A255455 6.82541 [-(8*x^7-4*x^6+14*x^5-12*x^4+9*x^3-5*x^2-x+1)/(8*x^8-20*x^7+46*x^6-56*x^5+51*x^4-20*x^3-6*x^2+6*x-1) ogf] A255457 11.1842 [(x-1)*(x^3-x^2+x+1)/(17*x^5+15*x^4-24*x^3+5*x-1) ogf] A255459 12.2797 [-(6*x^2-x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A255459 6.67841 [(43*f(x)-18)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-x+1) ogf] A255459 6.67841 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A255459 7.39164 [-(36*x^4-12*x^3-7*x^2-10*x+5)/(36*x^5-72*x^4+53*x^3-23*x^2+7*x-1) lgdogf] A255461 9.45468 [-(x-1)*(4*x^5-2*x^4-6*x^3-3*x^2+2*x+1)/(2*x-1)/(x+1)/(4*x^5-2*x^4-x^2+4*x-1) ogf] A255463 10.6023 [{-a(n+2)+7*a(n+1)-12*a(n),a(0)=1,a(1)=6} ogf] A255463 12.9410 [-(-12*x^2+24*x-6)/(-12*x^3+19*x^2-8*x+1) lgdogf] A255463 19.1302 [-(x-1)/(4*x-1)/(3*x-1) ogf] A255463 9.99987 [(13*f(x)+23)*(12*f(x)*x^2-7*f(x)*x+f(x)+x-1) ogf] A255465 12.4118 [-(-12*x^2-8*x-6)/(-12*x^3-13*x^2+1) lgdogf] A255465 17.3765 [-(3*x+1)/(x+1)/(4*x-1) ogf] A255465 9.09236 [(13*f(x)+5)*(4*f(x)*x^2+3*f(x)*x-f(x)+3*x+1) ogf] A255465 9.53590 [{a(n+2)-3*a(n+1)-4*a(n),a(0)=1,a(1)=6} ogf] A255467 15.2953 [-(2*x+1)*(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A255467 8.25678 [{a(n+3)-5*a(n+2)+2*a(n+1)+8*a(n),a(0)=1,a(1)=6,a(2)=26} ogf] A255467 8.33051 [(73*f(x)-9)*(8*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+2*x^2+f(x)-x-1) ogf] A255467 9.23778 [-(-16*x^4+16*x^3+16*x^2+8*x-6)/(-16*x^5+4*x^4+20*x^3-5*x^2-4*x+1) lgdogf] A255469 5.70626 [-(8*x^8+16*x^7-20*x^6+34*x^5-2*x^4-15*x^3+9*x^2-x-1)/(16*x^9+24*x^8-40*x^7+56*x^6+2*x^5-44*x^4+25*x^3+x^2-5*x+1) ogf] A255471 12.4299 [-(-48*x^3-6*x^2+12*x+6)/(-24*x^4+10*x^3+15*x^2-1) lgdogf] A255471 18.9966 [(3*x+1)/(x-1)/(2*x+1)/(4*x-1) ogf] A255471 8.90991 [{a(n+3)-3*a(n+2)-6*a(n+1)+8*a(n),a(0)=1,a(1)=6,a(2)=24} ogf] A255471 9.23689 [-(29*f(x)+52)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-3*x-1) ogf] A255474 11.6708 [-(16*x^3+8*x^2-1)/(4*x-1)/(4*x^2+2*x-1) ogf] A255474 5.79218 [{-a(n+4)+6*a(n+3)-4*a(n+2)-16*a(n+1),a(0)=1,a(1)=6,a(2)=24,a(3)=88} ogf] A255474 6.40937 [-(f(x)+26)*(16*f(x)*x^3+4*f(x)*x^2+16*x^3-6*f(x)*x+8*x^2+f(x)-1) ogf] A255474 6.79951 [-(-64*x^4-192*x^3+48*x^2+24*x-6)/(-256*x^6-192*x^5+64*x^4+48*x^3-4*x^2-6*x+1) lgdogf] A255476 4.52301 [(2*x+1)*(6*x^8-7*x^7+2*x^6-7*x^5-5*x^4-x^3-2*x^2+x+1)/(8*x^10+8*x^9+4*x^8-15*x^7-2*x^6+7*x^5+9*x^4+9*x^3-6*x^2-3*x+1) ogf] A255490 11.2503 [-(4*x^3+4*x^2+5*x+1)/(2*x+1)/(2*x-1)/(x^2+1) ogf] A255490 6.8343 [(1890*f(x)-1567)*(4*f(x)*x^4+3*f(x)*x^2+4*x^3+4*x^2-f(x)+5*x+1) ogf] A255495 2.64859 [(4*x^2-x+1)/(5*x-1)/(x+1)/(x^2-6*x+1)/(4*x^2+4*x-1) ogf] A255499 10.0389 [x*(x^3-3*x^2-9*x-1)/(x-1)^5 ogf] A255499 11.1407 [-(-2*x^3+6*x^2+42*x+14)/(-x^4+4*x^3+6*x^2-8*x-1) lgdogf] A255499 5.01944 [{(n^2+9*n+14)*a(n+1)+(10*n^2+78*n+152)*a(n+2)+(-11*n^2-39*n-34)*a(n+3),a(0)=0,a(1)=1,a(2)=14} ogf] A255501 3.58509 [-x*(x^8+54*x^7+242*x^6-5354*x^5-24240*x^4-24406*x^3-6434*x^2-342*x-1)/(x-1)^10 ogf] A255528 12.5596 [-(-x^2-x-1)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A255563 12.2326 [-x^9-x^5+x^4+2*x^3+x^2+2*x-2 ogf_with_Euler_transform] A255563 7.52830 [(x^4-x^3+x^2-x+1)*(x^2-x+1)*x/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A255588 5.66467 [-x*(36*x^29-18*x^28-18*x^27+12*x^11-6*x^10-6*x^9+4*x^5-2*x^4-2*x^3+x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A255590 4.87045 [-x*(80*x^29-20*x^28-20*x^27-20*x^26-20*x^25+16*x^9-4*x^8-4*x^7-4*x^6-4*x^5+3*x^4-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A255599 4.5736 [(f(x)*x-f(x)+1)^3 ogf] A255610 23.9115 [-3/(-x^2+2*x-1) ogf_with_Euler_transform] A255611 22.7195 [-4/(-x^2+2*x-1) ogf_with_Euler_transform] A255612 22.7713 [-5/(-x^2+2*x-1) ogf_with_Euler_transform] A255613 22.3131 [-6/(-x^2+2*x-1) ogf_with_Euler_transform] A255614 23.3991 [-7/(-x^2+2*x-1) ogf_with_Euler_transform] A255618 4.01496 [-(81*x^8-216*x^7+657*x^6-429*x^5-386*x^4+114*x^3-42*x^2-17*x+237)/(x-1)/(x^8-2*x^7+7*x^6-x^5-4*x^4-x^3-2*x^2-2*x+1) ogf] A255623 4.17542 [-(3*x^8-26*x^7+99*x^6-216*x^5+300*x^4-276*x^3+162*x^2-54*x+9)/(x-1)^9 ogf] A255624 4.04724 [-(2*x-3)*(3*x^7-24*x^6+87*x^5-171*x^4+195*x^3-130*x^2+48*x-9)/(x-1)^9 ogf] A255625 3.84054 [-(12*x^8-135*x^7+672*x^6-1790*x^5+2766*x^4-2577*x^3+1458*x^2-486*x+81)/(x-1)^9 ogf] A255626 3.36409 [(27*x^10-210*x^9+630*x^8-680*x^7-1134*x^6+5193*x^5-8522*x^4+7854*x^3-4374*x^2+1458*x-243)/(x-1)^9 ogf] A255630 14.1564 [-(x^2+1)/(3*x^3+2*x-1) ogf] A255630 7.37940 [{a(n+3)-2*a(n+2)-3*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A255630 7.79397 [(9*f(x)+4)*(3*f(x)*x^3+2*f(x)*x+x^2-f(x)+1) ogf] A255630 8.67080 [-(-3*x^4-7*x^2-2*x-2)/(-3*x^5-5*x^3+x^2-2*x+1) lgdogf] A255631 15.3358 [-(x^2+1)/(4*x^3+3*x-1) ogf] A255631 7.91002 [{a(n+3)-3*a(n+2)-4*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A255631 7.99416 [-(12*f(x)+1)*(4*f(x)*x^3+3*f(x)*x+x^2-f(x)+1) ogf] A255631 9.39315 [-(-4*x^4-9*x^2-2*x-3)/(-4*x^5-7*x^3+x^2-3*x+1) lgdogf] A255632 12.6060 [-(x^2+1)/(5*x^3+4*x-1) ogf] A255632 6.50202 [-(125*f(x)+4)*(5*f(x)*x^3+4*f(x)*x+x^2-f(x)+1) ogf] A255632 6.50202 [{a(n+3)-4*a(n+2)-5*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A255632 7.62583 [-(-5*x^4-11*x^2-2*x-4)/(-5*x^5-9*x^3+x^2-4*x+1) lgdogf] A255633 10.3933 [-(x^2+1)/(6*x^3+5*x-1) ogf] A255633 5.36078 [{a(n+3)-5*a(n+2)-6*a(n),a(0)=1,a(1)=5,a(2)=26} ogf] A255633 6.21066 [-(-6*x^4-13*x^2-2*x-5)/(-6*x^5-11*x^3+x^2-5*x+1) lgdogf] A255633 8.04656 [-(63*f(x)+1)*(6*f(x)*x^3+5*f(x)*x+x^2-f(x)+1) ogf] A255663 4.05269 [(x^12-40*x^11+450*x^10-2628*x^9+9657*x^8-23972*x^7+41232*x^6-49400*x^5+40957*x^4-23120*x^3+8656*x^2-2048*x+256)/(x-1)^12 ogf] A255676 8.19389 [-1/4*ln(x^2+1)+1/2*arctan(x)+1/2*ln(x+1) revegf] A255687 12.5931 [x*(x+6)/(x-1)^4 ogf] A255687 16.7051 [-(3*x+25)/(x^2+5*x-6) lgdogf] A255687 5.38520 [{(12+6*n)*a(n+3)+(-30-5*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=6,a(2)=25} ogf] A255687 5.93152 [(2851702*f(x)+10803649)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)-6*x) ogf] A255688 5.58628 [-4*f(x)^2*x^2+8*f(x)^2*x+4*f(x)*x^2-f(x)^2-8*f(x)*x+f(x)+3*x ogf] A255802 17.4351 [-(-3*x+5)/(-x^2+2*x-1) ogf_with_Euler_transform] A255803 16.8832 [-(-2*x+5)/(-x^2+2*x-1) ogf_with_Euler_transform] A255806 18.7233 [-3/(-x^2+2*x-1) lgdegf] A255806 5.71219 [{(n^2+n)*a(n)+(-2*n-5)*a(n+1)+a(n+2),a(0)=1,a(1)=3} ogf] A255807 10.0690 [-(x^2+4*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) lgdegf] A255808 28.3162 [-x^8+x^7+2 ogf_with_Euler_transform] A255808 7.56072 [(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A255813 10.5009 [-(x^2-x+1)/(3*x^3-3*x^2+4*x-1) ogf] A255813 5.52204 [-(27*f(x)+1)*(3*f(x)*x^3-3*f(x)*x^2+4*f(x)*x+x^2-f(x)-x+1) ogf] A255813 5.66865 [{-a(n+3)+4*a(n+2)-3*a(n+1)+3*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A255813 6.60368 [-(-3*x^4+6*x^3-8*x^2+4*x-3)/(-3*x^5+6*x^4-10*x^3+8*x^2-5*x+1) lgdogf] A255814 11.0971 [-(x^2-x+1)/(4*x^3-4*x^2+5*x-1) ogf] A255814 5.83556 [-(68*f(x)+1)*(4*f(x)*x^3-4*f(x)*x^2+5*f(x)*x+x^2-f(x)-x+1) ogf] A255814 5.99049 [{-a(n+3)+5*a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=4,a(2)=17} ogf] A255814 6.83763 [-(-4*x^4+8*x^3-11*x^2+6*x-4)/(-4*x^5+8*x^4-13*x^3+10*x^2-6*x+1) lgdogf] A255815 10.2866 [-(x^2-x+1)/(5*x^3-5*x^2+6*x-1) ogf] A255815 5.36309 [-(135*f(x)+1)*(5*f(x)*x^3-5*f(x)*x^2+6*f(x)*x+x^2-f(x)-x+1) ogf] A255815 5.55293 [{-a(n+3)+6*a(n+2)-5*a(n+1)+5*a(n),a(0)=1,a(1)=5,a(2)=26} ogf] A255815 6.21268 [-(-5*x^4+10*x^3-14*x^2+8*x-5)/(-5*x^5+10*x^4-16*x^3+12*x^2-7*x+1) lgdogf] A255819 7.71315 [-(-x^3-11*x^2-11*x-1)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) lgdegf] A255821 4.88612 [-(47844*f(x)+1)*(36*f(x)*x^3-36*f(x)*x^2+37*f(x)*x+x^2-f(x)-x+1) ogf] A255821 5.00930 [{-a(n+3)+37*a(n+2)-36*a(n+1)+36*a(n),a(0)=1,a(1)=36,a(2)=1297} ogf] A255821 9.31417 [-(x^2-x+1)/(36*x^3-36*x^2+37*x-1) ogf] A255834 13.4981 [-(x^2+2*x+3)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A255835 13.9095 [-(3*x^2+2*x+1)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A255836 13.4258 [-(2*x^2+3*x+4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A255837 13.1148 [-(x^2+3*x+5)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A255840 12.7532 [-x*(5*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A255840 7.08511 [(112*f(x)-1)*(f(x)*x^4-2*f(x)*x^3+5*x^3+2*f(x)*x+2*x^2-f(x)+x) ogf] A255840 9.98745 [-(10*x^3+16*x^2+18*x+4)/(5*x^4+2*x^3-4*x^2-2*x-1) lgdogf] A255842 12.4934 [-(-7*x^2+8*x-7)/(-7*x^3+18*x^2-17*x+6) lgdogf] A255842 12.8838 [-2*(7*x^2-11*x+6)/(x-1)^3 ogf] A255842 6.87138 [-(2*f(x)+471)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+14*x^2-f(x)-22*x+12) ogf] A255842 7.17014 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=14,a(2)=20} ogf] A255843 13.3905 [-2*(3*x^2-3*x+2)/(x-1)^3 ogf] A255843 13.6137 [-(-3*x^2-3)/(-3*x^3+6*x^2-5*x+2) lgdogf] A255843 6.92223 [-(62*f(x)-113)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-6*x+4) ogf] A255843 7.22852 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=6,a(2)=12} ogf] A255844 13.1349 [-(-4*x^2+2*x-4)/(-4*x^3+9*x^2-8*x+3) lgdogf] A255844 13.5586 [-2*(4*x^2-5*x+3)/(x-1)^3 ogf] A255844 7.12401 [-(22*f(x)-87)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)-10*x+6) ogf] A255844 7.43923 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=8,a(2)=14} ogf] A255845 12.4934 [-(-6*x^2+6*x-6)/(-6*x^3+15*x^2-14*x+5) lgdogf] A255845 12.8838 [-2*(6*x^2-9*x+5)/(x-1)^3 ogf] A255845 7.10833 [(2*f(x)-101)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+12*x^2-f(x)-18*x+10) ogf] A255845 7.17014 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=12,a(2)=18} ogf] A255846 12.3070 [-(-8*x^2+10*x-8)/(-8*x^3+21*x^2-20*x+7) lgdogf] A255846 12.8838 [-2*(8*x^2-13*x+7)/(x-1)^3 ogf] A255846 6.81459 [-(10*f(x)+679)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)-26*x+14) ogf] A255846 7.17014 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=14,a(1)=16,a(2)=22} ogf] A255847 12.6629 [-(-9*x^2+12*x-9)/(-9*x^3+24*x^2-23*x+8) lgdogf] A255847 13.2565 [-2*(9*x^2-15*x+8)/(x-1)^3 ogf] A255847 7.07014 [-(2*f(x)+103)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+18*x^2-f(x)-30*x+16) ogf] A255847 7.37754 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=18,a(2)=24} ogf] A255848 11.7795 [-(-10*x^2+14*x-10)/(-10*x^3+27*x^2-26*x+9) lgdogf] A255848 12.8838 [-2*(10*x^2-17*x+9)/(x-1)^3 ogf] A255848 6.75874 [-(26*f(x)+1215)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)-34*x+18) ogf] A255848 7.17014 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=18,a(1)=20,a(2)=26} ogf] A255870 6.81364 [-(5*x^6+x^5-10*x^4-8*x^3-9*x^2-3*x-1)/(x+1)/(x^2+x-1)/(x-1)^3 ogf] A255875 6.55189 [(f(x)+12)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3+3*f(x)*x-x^2-f(x)+1) ogf] A255875 6.89559 [(x^3+x^2-1)/(x^2+x-1)/(x-1)^2 ogf] A255876 12.0063 [(3*x^3-6*x^2-x-4)/(x+1)/(x-1)^3 ogf] A255876 6.52313 [(9256*f(x)-115871)*(f(x)*x^4-2*f(x)*x^3-3*x^3+2*f(x)*x+6*x^2-f(x)+x+4) ogf] A255876 8.54059 [-(-3*x^4+6*x^3+6*x^2+30*x+9)/(-3*x^5+6*x^4+4*x^3-2*x^2-x-4) lgdogf] A255877 3.91785 [{(703*n^2+3251*n+3690)*a(n+1)+(118*n^2+5108*n+12606)*a(n+2)+(-821*n^2-3787*n-3972)*a(n+3),a(0)=-1,a(1)=9,a(2)=67} ogf] A255877 5.25885 [(10296*f(x)+116707)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-11*x^3-4*f(x)*x-25*x^2+f(x)-13*x+1) ogf] A255877 9.00655 [-(11*x^3+83*x^2+89*x+9)/(11*x^4+14*x^3-12*x^2-14*x+1) lgdogf] A255877 9.79462 [(x+1)*(11*x^2+14*x-1)/(x-1)^4 ogf] A255910 10.8265 [{a(n+2)-a(n+1),a(0)=1,a(1)=7} ogf] A255910 17.3225 [-f(x)*x+f(x)-6*x-1 ogf] A255910 21.0679 [-(1+6*x)/(x-1) ogf] A255910 21.6531 [7/(-6*x^2+5*x+1) lgdogf] A255927 13.1192 [1/3*ln(4*x+1)-1/3*ln(x+1) revegf] A255965 8.49635 [-1/(-x^8+8*x^7-28*x^6+56*x^5-70*x^4+56*x^3-28*x^2+8*x-1) ogf_with_Euler_transform] A255978 11.7944 [-x*(x^3-2*x^2-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A255983 5.06695 [-(13835*x^5-8665*x^4+2585*x^3-415*x^2+35*x-1)/(18750*x^6-22500*x^5+11250*x^4-3000*x^3+450*x^2-36*x+1) ogf] A255985 14.2464 [(f(x)*x-f(x)+1)^3 ogf] A255985 3.77109 [-(235446*x^6-145578*x^5+44934*x^4-7986*x^3+834*x^2-48*x+1)/(326592*x^7-381024*x^6+190512*x^5-52920*x^4+8820*x^3-882*x^2+49*x-1) ogf] A255988 8.02551 [-(30*x^4-29*x^3-16*x^2+7*x-26)/(2*x^5-3*x^4+x^2-2*x+1) ogf] A255989 7.11079 [-(78*x^5-59*x^4-36*x^3-20*x^2+16*x-42)/(x^3-x-1)/(3*x^3-4*x^2+3*x-1) ogf] A255990 6.64792 [-(168*x^6-106*x^5-70*x^4-43*x^3-24*x^2+30*x-64)/(4*x^7-5*x^6+x^2-2*x+1) ogf] A255991 6.35199 [-(320*x^7-174*x^6-122*x^5-81*x^4-50*x^3-28*x^2+50*x-93)/(5*x^8-6*x^7+x^2-2*x+1) ogf] A255993 4.57623 [{(6+3*n)*a(n+1)+(-n^2-17*n-42)*a(n+2)+(n^2+11*n+24)*a(n+3),a(0)=8,a(1)=16,a(2)=28} ogf] A255993 5.50428 [(172*f(x)+341)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-12*x^2+f(x)+16*x-8) ogf] A255993 9.15247 [-(-3*x^3+15*x^2-24*x+16)/(-3*x^4+15*x^3-28*x^2+24*x-8) lgdogf] A255993 9.96344 [-(x-2)*(3*x^2-6*x+4)/(x-1)^4 ogf] A255994 10.1227 [-(4*x^3-21*x^2+32*x-16)/(x-1)^4 ogf] A255994 5.62373 [(43*f(x)+1382)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-21*x^2+f(x)+32*x-16) ogf] A255994 9.30824 [-(-4*x^3+30*x^2-54*x+32)/(-4*x^4+25*x^3-53*x^2+48*x-16) lgdogf] A255995 9.10382 [(x^5-4*x^4+36*x^2-64*x+32)/(x-1)^4 ogf] A255996 7.47534 [(4*x^6-8*x^5-7*x^4+16*x^3+60*x^2-128*x+64)/(x-1)^4 ogf] A255997 6.78687 [(9*x^7-8*x^6-21*x^5-8*x^4+59*x^3+98*x^2-256*x+128)/(x-1)^4 ogf] A255998 6.24686 [(16*x^8-4*x^7-31*x^6-26*x^5-29*x^4+176*x^3+155*x^2-512*x+256)/(x-1)^4 ogf] A256004 8.33458 [-(2*x^5+3*x^4+x^2-3)/(-x^6-x^3-1) ogf_with_Euler_transform] A256007 6.84775 [-x*(x^11+x^10+x^9+2*x^8+x^7-x^4-2*x^3-3*x^2-2*x-1)/(x-1)/(x^2+x+1)/(x^6+x^3-1) ogf] A256008 12.6929 [(2*x^3-x^2-2*x+3)/(x^2+1)/(x-1)^2 ogf] A256008 4.98652 [{(n+4)*a(n+1)+(-n-3)*a(n+2)+(n+4)*a(n+3)+(-n-3)*a(n+4),a(0)=3,a(1)=4,a(2)=1,a(3)=2} ogf] A256008 6.74039 [-(112*f(x)+191)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)+2*x-3) ogf] A256008 9.22035 [-(-2*x^5+8*x^3-20*x^2+10*x-4)/(-2*x^6+3*x^5-x^4-2*x^3+4*x^2-5*x+3) lgdogf] A256019 3.38124 [{(n^4+3*n^3+3*n^2+2*n)*a(n)+(-n^4-8*n^3-24*n^2-34*n-18)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=1} ogf] A256022 4.60091 [-(2*x^9+36*x^8+12*x^7-66*x^6-56*x^5-24*x^4-20*x^3+51*x^2+2*x+33)/(x-1)/(2*x^8+2*x^7-2*x^6-4*x^5-4*x^4-4*x^3-x+1) ogf] A256031 6.46270 [-(x^4-4*x^3-6*x^2-12*x-3)/(x^5-2*x^4-4*x^3+3*x+2) lgdegf] A256031 6.84651 [-(48*f(x)-11)*(f(x)*x^4-2*f(x)*x^2+x^3-2*x^2+f(x)-3*x-2) egf] A256031 8.84892 [-(x^3-2*x^2-3*x-2)/(x+1)^2/(x-1)^2 egf] A256044 4.78406 [-(x^6-27*x^5+177*x^4-328*x^3+177*x^2-27*x+1)/(x-1)/(x^3-26*x^2+13*x-1)/(x^3-13*x^2+26*x-1) ogf] A256079 13.1871 [-(10*x^11-10*x^10-1)/(x-1)^2 ogf] A256087 5.60949 [-4*(5*x^11+86*x^10-12*x^9-5*x^8-9*x^7-14*x^6-4*x^5-10*x^4-4*x^3-14*x^2-14*x-91)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A256096 10.2079 [{-a(n+2)-3*a(n+1),a(0)=4,a(1)=-9} ogf] A256096 16.3327 [3*f(x)*x+f(x)-3*x-4 ogf] A256096 19.8641 [(4+3*x)/(3*x+1) ogf] A256096 19.8641 [-9/(9*x^2+15*x+4) lgdogf] A256101 13.8094 [-(17*x+103)/(17*x^2+26*x-43) lgdogf] A256101 15.2185 [7*(17*x+43)/(x-1)^2 ogf] A256101 7.84953 [(120*f(x)+38143)*(f(x)*x^2-2*f(x)*x+f(x)-119*x-301) ogf] A256101 8.67100 [{-a(n+2)+2*a(n+1)-a(n),a(0)=301,a(1)=721} ogf] A256137 9.62212 [(2*x^5-5*x^4+2*x^3+2*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A256142 14.0902 [-(3*x-3)/(9*x^3-3*x^2-3*x+1) ogf_with_Euler_transform] A256162 5.61611 [-(16191*f(x)-45161)*(10*f(x)*x^4-10*x^4-11*f(x)*x^2-10*x^3+2*x^2+f(x)-8*x-1) ogf] A256162 9.11706 [(10*x^4+10*x^3-2*x^2+8*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A256169 8.87485 [f(x)^2*x^4+2*f(x)^2*x^3+f(x)^2*x^2-f(x)+1 ogf] A256178 10.9514 [1/(x^2-3*x+1)/(x^2-18*x+1) ogf] A256178 4.51965 [(622421*f(x)+26)*(f(x)*x^4-21*f(x)*x^3+56*f(x)*x^2-21*f(x)*x+f(x)-1) ogf] A256178 6.54569 [-(-4*x^3+63*x^2-112*x+21)/(-x^4+21*x^3-56*x^2+21*x-1) lgdogf] A256181 5.24130 [-(x^12-12*x^11+66*x^10-217*x^9+567*x^8-270*x^7+1608*x^6-541*x^5+419*x^4-184*x^3+58*x^2-11*x+1)/(x-1)^13 ogf] A256225 5.46051 [-x*(x^8+5*x^7+16*x^6+25*x^5+31*x^4+25*x^3+16*x^2+5*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A256226 5.08412 [x*(3*x^7+14*x^6+21*x^5+21*x^4+22*x^3+19*x^2+7*x+1)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^6 ogf] A256233 12.1996 [(3*x^2-6*x+1)/(x-1)/(x^2-3*x+1) ogf] A256233 6.20144 [-(655*f(x)-1478)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x-3*x^2-f(x)+6*x-1) ogf] A256233 6.64440 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=-1,a(1)=2,a(2)=9} ogf] A256233 7.29581 [-(-3*x^4+12*x^3-15*x^2+2*x+2)/(-3*x^5+18*x^4-37*x^3+31*x^2-10*x+1) lgdogf] A256278 13.9099 [-(29*x-1)/(29*x^2-31*x+1) ogf] A256278 6.95496 [-(973*f(x)-957)*(29*f(x)*x^2-31*f(x)*x+f(x)+29*x-1) ogf] A256278 7.94851 [{a(n+2)-31*a(n+1)+29*a(n),a(0)=1,a(1)=2} ogf] A256278 9.27326 [-(-841*x^2+58*x-2)/(-841*x^3+928*x^2-60*x+1) lgdogf] A256282 3.75603 [-(2*x^11+x^10-x^9-3*x^8-2*x^7+2*x^6+4*x^5+2*x^4-2*x^3-x^2-x+1)/(-x^12+x^9-x^3+1) ogf_with_Euler_transform] A256289 5.49086 [-(10*x^18-20*x^9+8*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A256299 5.53376 [-(9*x^18-18*x^9+8*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A256302 3.65305 [-(12*x^10+6*x^4+3*x+2)/(x-1) ogf] A256309 6.33607 [-x^3*(x^4+x^2+x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A256310 6.29203 [x^3*(x^4+x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A256313 7.34116 [x^2*(x^2+x+1)*(x^2+2)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A256314 4.50916 [-x^2*(2*x^7+3*x^6+4*x^5+5*x^4+6*x^3+3*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A256316 4.86989 [-x^2*(2*x^6+4*x^5+6*x^4+6*x^3+7*x^2+4*x+3)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A256317 3.73204 [x^2*(x^2+1)*(x^4+2*x^3+2*x^2+x+2)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A256320 11.5187 [-(-2*x^3-7*x^2-4*x-5)/(-x^4-x^3+x+1) lgdogf] A256320 28.4506 [5-3*x+1/2*x^2 egf]_with_Euler_transform] A256320 9.31852 [-x*(x+1)^3/(x^2+x+1)/(x-1)^3 ogf] A256321 8.38095 [-x*(x^2+2*x+2)*(2*x^2+2*x+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A256322 8.23932 [-x*(2*x^2+3*x+2)^2/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A256327 6.07364 [x*(5*x^7+13*x^6+24*x^5+29*x^4+28*x^3+17*x^2+8*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A256328 7.94704 [-(2*x^4+21*x^3+57*x^2+49*x+15)/(x^5+6*x^4+8*x^3-4*x^2-9*x-2) lgdogf] A256328 8.92926 [x*(x+2)*(x^2+4*x+1)/(x+1)/(x-1)^4 ogf] A256329 5.52060 [x*(x^8+14*x^7+38*x^6+67*x^5+80*x^4+74*x^3+46*x^2+20*x+3)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A256331 10.5036 [-(2*x^2-x)/(-x^3-x^2+x+1) revogf] A256331 6.63385 [-f(x)^3*x^3-f(x)^2*x^2+2*f(x)^2*x+f(x)*x-f(x)+1 ogf] A256334 8.35684 [x^2*f(x)^3+f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+1 ogf] A256428 7.62692 [-x^2*(2*x-1)/(x^6-5*x^5+14*x^4-26*x^3+22*x^2-8*x+1) ogf] A256429 11.9591 [-(3*x^2-3*x-1)/(x-1)/(5*x^3-2*x^2+2*x-1) ogf] A256429 6.11241 [(2497*f(x)+4085)*(5*f(x)*x^4-7*f(x)*x^3+4*f(x)*x^2-3*f(x)*x+3*x^2+f(x)-3*x-1) ogf] A256429 7.05279 [-(-30*x^5+66*x^4-22*x^3-18*x^2+14*x-6)/(-15*x^6+36*x^5-28*x^4+14*x^3-8*x^2+1) lgdogf] A256453 5.98052 [-(-6*x^10-5*x^9-2*x^8-2*x^7-x^6+x^5+x^4-x^3-2*x^2-2*x-5)/(x^11-1) ogf_with_Euler_transform] A256467 12.2284 [-(2*x^2-1)/(2*x^3+5*x^2+4*x+1) lgdegf] A256467 4.92419 [{(-n^3-4*n^2-3*n)*a(n)+(-2*n^2-5*n+2)*a(n+1)+(-1-n)*a(n+2),a(0)=0,a(1)=1} ogf] A256493 10.8403 [-(12*x^2-10*x+1)/(x-1)/(2*x-1)/(10*x-1) ogf] A256493 5.86445 [(1347*f(x)+3023)*(20*f(x)*x^3-32*f(x)*x^2+13*f(x)*x+12*x^2-f(x)-10*x+1) ogf] A256493 6.16778 [{-a(n+3)+13*a(n+2)-32*a(n+1)+20*a(n),a(0)=1,a(1)=3,a(2)=19} ogf] A256493 6.38805 [-(-240*x^4+400*x^3-224*x^2+40*x-3)/(-240*x^5+584*x^4-496*x^3+174*x^2-23*x+1) lgdogf] A256494 15.4932 [-x*(x^3+x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A256496 5.97641 [-(59*x^6+146*x^5+201*x^4+195*x^3+159*x^2+94*x+31)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1) ogf] A256506 6.11948 [{-a(n+1)+(-2*n-9)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A256524 8.22589 [(x^2+x+1)*(2*x^2+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A256525 4.54466 [-(x^8+x^7+4*x^6+5*x^5+5*x^4+5*x^3+4*x^2+x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A256539 4.85960 [-(x^7+4*x^6+5*x^5+7*x^4+6*x^3+6*x^2+2*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A256540 3.92012 [(3*x^8+5*x^7+11*x^6+11*x^5+13*x^4+10*x^3+8*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^6 ogf] A256552 12.2143 [-(-11*x^3-2*x^2-9*x-2)/(x^4-1) ogf_with_Euler_transform] A256552 99.9999 Evaluated at exp(-Pi) 1/64*exp(Pi)*Pi^(11/4)/GAMMA(3/4)^11 A256626 14.8710 [-(x-1)/(x^3+1) ogf_with_Euler_transform] A256636 9.96423 [-(-x^2+x)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A256637 5.13200 [-(x^8+x^6+x^5+x^3+x^2+1)/(-x^10+x^8-x^6+x^4-x^2+1) ogf_with_Euler_transform] A256645 12.1008 [x*(22*x+1)/(x-1)^4 ogf] A256645 15.3588 [-(-66*x-26)/(-22*x^2+21*x+1) lgdogf] A256645 5.21997 [{(-2-n)*a(n+3)+(5-21*n)*a(n+2)+(66+22*n)*a(n+1),a(0)=0,a(1)=1,a(2)=26} ogf] A256645 5.43304 [-(773212850*f(x)+7078730591)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-22*x^2+f(x)-x) ogf] A256646 12.1564 [x*(23*x+1)/(x-1)^4 ogf] A256646 15.4292 [-(-69*x-27)/(-23*x^2+22*x+1) lgdogf] A256646 5.24392 [{(-2-n)*a(n+3)+(5-22*n)*a(n+2)+(69+23*n)*a(n+1),a(0)=0,a(1)=1,a(2)=27} ogf] A256646 5.3847 [-(3985348608*f(x)+38078983921)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-23*x^2+f(x)-x) ogf] A256647 12.2119 [x*(24*x+1)/(x-1)^4 ogf] A256647 15.4997 [-(-72*x-28)/(-24*x^2+23*x+1) lgdogf] A256647 5.26786 [{(-2-n)*a(n+3)+(5-23*n)*a(n+2)+(72+24*n)*a(n+1),a(0)=0,a(1)=1,a(2)=28} ogf] A256647 5.40929 [-(1270718750*f(x)+12649430169)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-24*x^2+f(x)-x) ogf] A256648 12.2119 [x*(25*x+1)/(x-1)^4 ogf] A256648 15.4997 [-(-75*x-29)/(-25*x^2+24*x+1) lgdogf] A256648 5.26786 [{(-2-n)*a(n+3)+(5-24*n)*a(n+2)+(75+25*n)*a(n+1),a(0)=0,a(1)=1,a(2)=29} ogf] A256648 5.40929 [-(6421497056*f(x)+66490537361)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-25*x^2+f(x)-x) ogf] A256649 12.2119 [x*(26*x+1)/(x-1)^4 ogf] A256649 15.4997 [-(-78*x-30)/(-26*x^2+25*x+1) lgdogf] A256649 5.26786 [{(-2-n)*a(n+3)+(5-25*n)*a(n+2)+(78+26*n)*a(n+1),a(0)=0,a(1)=1,a(2)=30} ogf] A256649 5.40929 [-(2010460986*f(x)+21620900167)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-26*x^2+f(x)-x) ogf] A256650 12.3784 [x*(27*x+1)/(x-1)^4 ogf] A256650 15.7110 [-(-81*x-31)/(-27*x^2+26*x+1) lgdogf] A256650 5.33970 [{(-2-n)*a(n+3)+(5-26*n)*a(n+2)+(81+27*n)*a(n+1),a(0)=0,a(1)=1,a(2)=31} ogf] A256650 5.44649 [-(9989477120*f(x)+111423085929)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-27*x^2+f(x)-x) ogf] A256666 8.14759 [-(4*x^4-3*x^3-7*x^2+16*x+14)/(2*x^5-3*x^4-3*x^3+8*x^2+x-5) lgdogf] A256666 8.97151 [x*(2*x^3-3*x^2-x+5)/(x+1)/(x-1)^4 ogf] A256676 8.03620 [-(x^8+3*x^7+7*x^6+4*x^5+3*x^4+4*x^3+7*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A256680 12.7411 [-x*(x^3-x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A256680 12.9181 [-(6*x^2+9*x+5)/(-x^5+x^4+5*x^3-4*x-1) lgdogf] A256680 6.45904 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=5,a(3)=7,a(4)=10} ogf] A256680 7.15464 [-(15*f(x)-112)*(f(x)*x^3+x^4-f(x)*x^2-x^3-f(x)*x-4*x^2+f(x)-x) ogf] A256710 6.04998 [{-2*a(n+1)+(2*n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A256716 12.0453 [x*(21*x+1)/(x-1)^4 ogf] A256716 15.2883 [-(-63*x-25)/(-21*x^2+20*x+1) lgdogf] A256716 5.19603 [{(-2-n)*a(n+3)+(5-20*n)*a(n+2)+(63+21*n)*a(n+1),a(0)=0,a(1)=1,a(2)=25} ogf] A256716 5.33552 [-(2373524384*f(x)+20780659593)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-x) ogf] A256718 11.9898 [x*(20*x+1)/(x-1)^4 ogf] A256718 15.2179 [-(-60*x-24)/(-20*x^2+19*x+1) lgdogf] A256718 5.17208 [{(-2-n)*a(n+3)+(5-19*n)*a(n+2)+(60+20*n)*a(n+1),a(0)=0,a(1)=1,a(2)=24} ogf] A256718 5.38319 [-(449843814*f(x)+3758646649)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-20*x^2+f(x)-x) ogf] A256728 3.82725 [-(15407*f(x)+1640960)*(64*f(x)*x^4-56*f(x)*x^3+4096*x^3+7*f(x)*x-3072*x^2-f(x)-384*x+384) ogf] A256728 6.85125 [-128*(32*x^3-24*x^2-3*x+3)/(8*x^2-1)/(8*x^2-7*x+1) ogf] A256803 4.44205 [-(26*x^7+86*x^6+39*x^5-27*x^4-94*x^3-119*x^2-54*x-32)/(2*x^8+6*x^7+x^6-3*x^5-7*x^4-7*x^3-x^2-x+1) ogf] A256813 5.71668 [-(32*x^5-48*x^4+8*x^3-60*x^2+2*x-63)/(x^6-2*x^5+x^4-2*x^3+x^2-2*x+1) ogf] A256814 3.78832 [-(252*x^9-250*x^8-128*x^7-190*x^6+93*x^5+48*x^4-39*x^3+104*x^2-11*x+120)/(x-1)/(4*x^9-2*x^8-2*x^7-4*x^6-x^5-x^4-2*x^3-x+1) ogf] A256817 6.53701 [-(3*x^5-20*x^4+48*x^3-56*x^2+32*x-8)/(x-1)^6 ogf] A256818 6.34708 [-(4*x^5-37*x^4+96*x^3-112*x^2+64*x-16)/(x-1)^6 ogf] A256819 5.99120 [(x^7-4*x^6+68*x^4-192*x^3+224*x^2-128*x+32)/(x-1)^6 ogf] A256820 5.18692 [(4*x^8-8*x^7-7*x^6+16*x^5+124*x^4-384*x^3+448*x^2-256*x+64)/(x-1)^6 ogf] A256821 4.58087 [(10*x^9-14*x^8-7*x^7-24*x^6+68*x^5+224*x^4-768*x^3+896*x^2-512*x+128)/(x-1)^6 ogf] A256822 4.10311 [(28*x^10-64*x^9+78*x^8-102*x^7-35*x^6+208*x^5+400*x^4-1536*x^3+1792*x^2-1024*x+256)/(x-1)^6 ogf] A256833 11.8058 [-(x^2+26*x+21)/(x^3+11*x^2-9*x-3) lgdogf] A256833 12.7579 [-2*(x^2+12*x+3)/(x-1)^3 ogf] A256833 6.53711 [(11184*f(x)-196049)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+24*x+6) ogf] A256833 6.87817 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=42,a(2)=110} ogf] A256857 10.1742 [-x*(2*x^2-4*x-1)/(x-1)^4 ogf] A256857 11.6049 [-(-4*x^2+8*x+8)/(-2*x^3+6*x^2-3*x-1) lgdogf] A256857 3.77012 [{(-3-n)*a(n+4)+(2-3*n)*a(n+3)+(14+6*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=24} ogf] A256857 5.38199 [-(5*f(x)+36)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2*x^3-4*f(x)*x-4*x^2+f(x)-x) ogf] A256859 12.6660 [-(-16*x^2-8*x-6)/(-4*x^3+4*x^2-x+1) lgdogf] A256859 4.31042 [{(n+4)*a(n+4)+(-9-n)*a(n+3)+4*n*a(n+2)+(-20-4*n)*a(n+1),a(0)=1,a(1)=6,a(2)=25,a(3)=80} ogf] A256859 9.80107 [(4*x^2+1)/(x-1)^6 ogf] A256860 11.9148 [-(-25*x^2-10*x-7)/(-5*x^3+5*x^2-x+1) lgdogf] A256860 4.07450 [{(n+4)*a(n+4)+(-10-n)*a(n+3)+5*n*a(n+2)+(-30-5*n)*a(n+1),a(0)=1,a(1)=7,a(2)=33,a(3)=119} ogf] A256860 8.45568 [-(5*x^2+1)/(x-1)^7 ogf] A256861 11.6050 [-(-36*x^2-12*x-8)/(-6*x^3+6*x^2-x+1) lgdogf] A256861 3.96854 [{(n+4)*a(n+4)+(-11-n)*a(n+3)+6*n*a(n+2)+(-42-6*n)*a(n+1),a(0)=1,a(1)=8,a(2)=42,a(3)=168} ogf] A256861 7.50911 [(6*x^2+1)/(x-1)^8 ogf] A256871 10.3545 [-(-184*x^2+96*x-13)/(-184*x^3+186*x^2-59*x+6) lgdogf] A256871 16.4322 [-(23*x-6)/(2*x-1)/(4*x-1) ogf] A256871 8.49302 [(18*f(x)-277)*(8*f(x)*x^2-6*f(x)*x+f(x)+23*x-6) ogf] A256871 9.10698 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=6,a(1)=13} ogf] A256873 10.9076 [-(-88*x^2+48*x-7)/(-88*x^3+90*x^2-29*x+3) lgdogf] A256873 16.3613 [-(11*x-3)/(2*x-1)/(4*x-1) ogf] A256873 8.65081 [(6*f(x)-67)*(8*f(x)*x^2-6*f(x)*x+f(x)+11*x-3) ogf] A256873 9.17830 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=3,a(1)=7} ogf] A256888 7.76854 [-(3*x^9+5*x^8+x^7+3*x^6+x^5+3*x^4+x^3+5*x^2+3*x+2)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A256938 7.32266 [-1/2*(-x^2+(x^4+2*x^3+11*x^2+2*x+1)^(1/2)-3*x-1)/(x^2+1) revogf] A256938 9.13071 [-f(x)^2*x^3+f(x)^2*x^2+3*f(x)*x-f(x)-x+1 ogf] A256939 7.04835 [-1/2*(-x^2+(x^4+4*x^3+18*x^2+4*x+1)^(1/2)-4*x-1)/(x^2+1) revogf] A256939 8.78869 [-f(x)^2*x^3+f(x)^2*x^2+4*f(x)*x-f(x)-x+1 ogf] A256958 14.6658 [(2*f(x)+2501)*(f(x)*x^2-2*f(x)*x+f(x)-51*x+50) ogf] A256958 15.7133 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-50,a(1)=-49} ogf] A256958 24.4430 [-(-51*x+49)/(-51*x^2+101*x-50) lgdogf] A256958 28.0834 [(51*x-50)/(x-1)^2 ogf] A256959 5.33347 [(43999*f(x)-181805)*(8*f(x)*x^3-4*x^4-14*f(x)*x^2+4*x^3+7*f(x)*x+5*x^2-f(x)-3*x+1) ogf] A256959 9.36777 [(4*x^4-4*x^3-5*x^2+3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A256960 11.4573 [-(2*x+1)*(2*x^2+2*x-1)/(2*x-1)/(x+1)/(2*x^2+3*x-1) ogf] A256960 6.01715 [(3615*f(x)-4373)*(4*f(x)*x^4+8*f(x)*x^3-f(x)*x^2+4*x^3-4*f(x)*x+6*x^2+f(x)-1) ogf] A256994 15.4506 [-(2*x^4-x^3+x^2+3*x-2)/(2*x-1)/(x-1) ogf] A256994 8.39441 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=2,a(1)=3,a(2)=4,a(3)=7,a(4)=11} ogf] A256994 9.11185 [-(100*f(x)-197)*(2*x^4+2*f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)+3*x-2) ogf] A256994 9.11188 [-(-8*x^5+20*x^4-14*x^3+12*x^2-10*x+3)/(4*x^6-8*x^5+7*x^4+2*x^3-12*x^2+9*x-2) lgdogf] A257042 10.5999 [-2*x*(2*x^2-6*x-5)/(x-1)^4 ogf] A257042 12.0453 [-(-4*x^2+14*x+26)/(-2*x^3+8*x^2-x-5) lgdogf] A257042 3.93561 [{(-15-5*n)*a(n+4)+(24-n)*a(n+3)+(22+8*n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=10,a(2)=52,a(3)=144} ogf] A257042 5.44516 [(318573*f(x)+5205181)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-12*x^2+f(x)-10*x) ogf] A257051 4.41855 [{(23*n^2+77*n)*a(n+1)+(-40*n^2-46*n+48)*a(n+2)+(17*n^2-7*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=10} ogf] A257051 8.29047 [2*x^3*(x^3-4*x^2+6*x-5)/(x-1)^5 ogf] A257051 9.57352 [-(-2*x^3+9*x^2-16*x+19)/(-x^4+5*x^3-10*x^2+11*x-5) lgdogf] A257052 4.80284 [{(7*n+20)*a(n+1)+(-20*n-46)*a(n+2)+(13*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=10} ogf] A257052 8.20484 [x^3*(x^3-3*x^2+6*x-10)/(x-1)^5 ogf] A257052 9.37696 [-(-2*x^3+6*x^2-18*x+44)/(-x^4+4*x^3-9*x^2+16*x-10) lgdogf] A257055 10.8699 [-x*(3*x^2+1)/(x-1)^5 ogf] A257055 12.7382 [-(-9*x^2-6*x-5)/(-3*x^3+3*x^2-x+1) lgdogf] A257055 4.15940 [{(n+3)*a(n+4)+(-7-n)*a(n+3)+(-3+3*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=18} ogf] A257060 10.1852 [-(x^2+2*x+4)/(x^3+2*x^2+4*x-1) ogf] A257060 5.35603 [-(22*f(x)-7)*(f(x)*x^3+2*f(x)*x^2+4*f(x)*x+x^2-f(x)+2*x+4) ogf] A257060 5.44999 [{a(n+3)-4*a(n+2)-2*a(n+1)-a(n),a(0)=4,a(1)=18,a(2)=81} ogf] A257061 4.10704 [-(56653*f(x)-27428)*(4*f(x)*x^4+7*f(x)*x^3+5*f(x)*x^2+4*x^3+4*f(x)*x+8*x^2-f(x)+7*x+5) ogf] A257061 7.94739 [-(4*x^3+8*x^2+7*x+5)/(4*x^4+7*x^3+5*x^2+4*x-1) ogf] A257063 13.6826 [(x^4+x^2+x+1)/(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A257064 6.30565 [-(x^10+4*x^8+4*x^7+5*x^6+2*x^5+7*x^4+2*x^3+3*x^2+2*x+2)/(x^2-x+1)^2/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A257072 6.31576 [-45*f(x)^2*x^2+23*f(x)^2*x-3*f(x)^2-27*f(x)*x+7*f(x)-4 ogf] A257075 14.1371 [-(x^2-x+1)/(x-1)/(x^2+x+1) ogf] A257075 20.9293 [-x^5+2*x^2+x-1 ogf_with_Euler_transform] A257075 9.11470 [{-a(n+3)+a(n),a(0)=1,a(1)=-1,a(2)=1} ogf] A257075 9.23622 [(f(x)-3)*(f(x)*x^3+x^2-f(x)-x+1) ogf] A257076 11.8253 [-(x-1)*(x^2+x+1)/(x^2-x+1) ogf] A257076 17.5069 [x^5-2*x^2-x+1 ogf_with_Euler_transform] A257076 5.12781 [{-a(n+4)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=0,a(3)=-2} ogf] A257076 8.64839 [-f(x)*x^2-x^3+f(x)*x-f(x)+1 ogf] A257083 25.1399 [-x^3-x^2+3*x+2 ogf_with_Euler_transform] A257083 8.96465 [-(x^2+1)*(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A257088 11.3223 [(x^2+1)*(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A257088 24.9533 [-x^3-x^2+3*x+1 ogf_with_Euler_transform] A257088 7.58283 [(8*f(x)+5)*(f(x)*x^4-x^4-2*f(x)*x^2-x^3-2*x^2+f(x)-x-1) ogf] A257088 8.60968 [-(x^4+8*x^3+6*x^2+8*x+1)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A257093 5.66506 [(35833070*f(x)+188008069)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-8*x^2+f(x)-5*x) ogf] A257104 4.72912 [f(x)^2*x^4-2*f(x)^2*x^3-2*f(x)*x^4+7*f(x)^2*x^2+3*f(x)*x^3+x^4-5*f(x)^2*x-9*f(x)*x^2-x^3+f(x)^2+8*f(x)*x+3*x^2-2*f(x)-3*x+1 ogf] A257113 10.7201 [(4*f(x)+1)*(2*f(x)*x-x^2-f(x)-x+2) ogf] A257113 12.5627 [-(2*x^2-2*x+3)/(-2*x^3-x^2+5*x-2) lgdogf] A257113 17.8669 [(x+2)*(x-1)/(2*x-1) ogf] A257113 9.57155 [{-a(n+3)+2*a(n+2),a(0)=2,a(1)=3,a(2)=5} ogf] A257143 10.2489 [-(-x^4-6*x^3-6*x^2-6*x-1)/(-x^6-x^5+x+1) lgdogf] A257143 11.2317 [(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A257143 28.1718 [[-x^4+2*x+1] ogf_with_Euler_transform] A257143 7.38662 [(34*f(x)+65)*(f(x)*x^4-x^4-2*f(x)*x^2-x^3-x^2+f(x)-x-1) ogf] A257145 20.8431 [[x^4-2*x-1] ogf_with_Euler_transform] A257145 5.46219 [f(x)*x^4+f(x)*x^3-x^4+f(x)*x^2+f(x)*x+2*x^2+f(x)-1 ogf] A257145 8.30551 [(x+1)^2*(x-1)^2/(x^4+x^3+x^2+x+1) ogf] A257164 8.47831 [-x*(3*x^3+x^2+4*x+2)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A257170 11.0574 [x^7-x^5-x^3+x^2-x+1 ogf_with_Euler_transform] A257170 5.12615 [{-a(n+5)-a(n+1),a(0)=1,a(1)=1,a(2)=0,a(3)=1,a(4)=0} ogf] A257170 8.90773 [f(x)*x^4-x^4-x^3+f(x)-x-1 ogf] A257170 9.53284 [(x^2-x+1)*(x+1)^2/(x^4+1) ogf] A257171 6.21035 [(2*x^8-3*x^7-5*x^6+9*x^5+5*x^4-8*x^3+x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A257174 19.9264 [-x^4-x^3+2*x^2+x+1 ogf_with_Euler_transform] A257174 9.21253 [(x^2+1)*(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A257178 3.50004 [{(-12*n-30)*a(n+1)+(-5*n-24)*a(n+2)+(6*n+30)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=3,a(2)=10,a(3)=33} ogf] A257178 9.18191 [3*f(x)^2*x^3-f(x)^2*x^2-3*f(x)*x+f(x)-1 ogf] A257179 13.0060 [-(x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x^4+1) ogf] A257179 16.4316 [-x^9+x^7+x^4-x^3+1 ogf_with_Euler_transform] A257181 12.4892 [x^9-x^7-x^4+x^3-1 ogf_with_Euler_transform] A257181 9.88875 [-(x-1)*(x^4+1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A257196 14.5766 [-x^9+x^7+x^4-2*x+1 ogf_with_Euler_transform] A257196 8.21159 [(x^4-x^3+x^2-x+1)*(x+1)^2/(x^2+1)/(x^4+1) ogf] A257198 11.6368 [-(8*x^2-x-3)/(2*x^3-x^2-2*x+1) lgdogf] A257198 14.0520 [-2*x^2/(2*x-1)/(x+1)/(x-1)^2 ogf] A257198 3.83895 [{(-2*n-6)*a(n+1)+(n+1)*a(n+2)+(2*n+5)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=6} ogf] A257198 6.15501 [(f(x)-2)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+3*f(x)*x+2*x^2-f(x)) ogf] A257199 13.1416 [-(-4*x^2+3*x-5)/(-x^3+2*x^2-2*x+1) lgdogf] A257199 25.3119 [-x^5+x^2+x+5 ogf_with_Euler_transform] A257199 4.22646 [{(n+4)*a(n+4)+(-11-2*n)*a(n+3)+(7+2*n)*a(n+2)+(-5-n)*a(n+1),a(0)=1,a(1)=5,a(2)=16,a(3)=41} ogf] A257199 9.55756 [(x^2-x+1)/(x-1)^6 ogf] A257200 14.5250 [-(-5*x^2+4*x-6)/(-x^3+2*x^2-2*x+1) lgdogf] A257200 27.9763 [-x^5+x^2+x+6 ogf_with_Euler_transform] A257200 4.67135 [{(n+4)*a(n+4)+(-12-2*n)*a(n+3)+(8+2*n)*a(n+2)+(-6-n)*a(n+1),a(0)=1,a(1)=6,a(2)=22,a(3)=63} ogf] A257200 9.58348 [-(x^2-x+1)/(x-1)^7 ogf] A257201 15.7353 [-(-6*x^2+5*x-7)/(-x^3+2*x^2-2*x+1) lgdogf] A257201 30.3076 [-x^5+x^2+x+7 ogf_with_Euler_transform] A257201 5.06060 [{(n+4)*a(n+4)+(-13-2*n)*a(n+3)+(9+2*n)*a(n+2)+(-7-n)*a(n+1),a(0)=1,a(1)=7,a(2)=29,a(3)=92} ogf] A257201 9.50057 [(x^2-x+1)/(x-1)^8 ogf] A257272 10.7687 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=4,a(1)=9} ogf] A257272 12.2643 [-(-120*x^2+64*x-9)/(-120*x^3+122*x^2-39*x+4) lgdogf] A257272 19.1964 [-(15*x-4)/(2*x-1)/(4*x-1) ogf] A257272 9.92173 [(10*f(x)-121)*(8*f(x)*x^2-6*f(x)*x+f(x)+15*x-4) ogf] A257273 10.2678 [(2*f(x)-29)*(8*f(x)*x^2-6*f(x)*x+f(x)+7*x-2) ogf] A257273 10.7687 [{a(n+2)-6*a(n+1)+8*a(n),a(0)=2,a(1)=5} ogf] A257273 12.7976 [-(-56*x^2+32*x-5)/(-56*x^3+58*x^2-19*x+2) lgdogf] A257273 19.6230 [-(7*x-2)/(2*x-1)/(4*x-1) ogf] A257275 11.6600 [[2] ogf_with_Euler_transform] A257285 10.2244 [-(-20*x^2+40*x-8)/(-20*x^3+29*x^2-10*x+1) lgdogf] A257285 15.3366 [-(x-1)/(5*x-1)/(4*x-1) ogf] A257285 7.92681 [(89*f(x)+167)*(20*f(x)*x^2-9*f(x)*x+f(x)+x-1) ogf] A257285 8.49982 [{-a(n+2)+9*a(n+1)-20*a(n),a(0)=1,a(1)=8} ogf] A257286 13.6032 [-(x-1)/(6*x-1)/(5*x-1) ogf] A257286 7.1837 [(17*f(x)+33)*(30*f(x)*x^2-11*f(x)*x+f(x)+x-1) ogf] A257286 7.52175 [{-a(n+2)+11*a(n+1)-30*a(n),a(0)=1,a(1)=10} ogf] A257286 9.13356 [-(-30*x^2+60*x-10)/(-30*x^3+41*x^2-12*x+1) lgdogf] A257287 13.1302 [-(x-1)/(7*x-1)/(6*x-1) ogf] A257287 6.78155 [(193*f(x)+383)*(42*f(x)*x^2-13*f(x)*x+f(x)+x-1) ogf] A257287 7.26024 [{-a(n+2)+13*a(n+1)-42*a(n),a(0)=1,a(1)=12} ogf] A257287 8.81600 [-(-42*x^2+84*x-12)/(-42*x^3+55*x^2-14*x+1) lgdogf] A257288 10.2485 [-(-56*x^2+112*x-14)/(-56*x^3+71*x^2-16*x+1) lgdogf] A257288 15.4817 [-(x-1)/(8*x-1)/(7*x-1) ogf] A257288 8.0849 [(65*f(x)+131)*(56*f(x)*x^2-15*f(x)*x+f(x)+x-1) ogf] A257288 8.56047 [{-a(n+2)+15*a(n+1)-56*a(n),a(0)=1,a(1)=14} ogf] A257289 14.7874 [-(x-1)/(9*x-1)/(8*x-1) ogf] A257289 7.98862 [(f(x)+1)*(72*f(x)*x^2-17*f(x)*x+f(x)+x-1) ogf] A257289 8.17658 [{-a(n+2)+17*a(n+1)-72*a(n),a(0)=1,a(1)=16} ogf] A257289 9.78886 [-(-72*x^2+144*x-16)/(-72*x^3+89*x^2-18*x+1) lgdogf] A257290 12.9881 [-f(x)^2*x^2-3*f(x)*x+f(x)+3*x-1 ogf] A257290 4.11183 [{(-12*n-18)*a(n+1)+(-5*n-15)*a(n+2)+(6*n+27)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=3} ogf] A257290 9.19387 [1/6*x^2+1/2*x+1/6-1/6*(x^4+6*x^3+11*x^2-6*x+1)^(1/2) revogf] A257293 5.48607 [(3*x^8+7*x^7+6*x^6+26*x^5-260*x^4-357*x^3-46*x^2-26*x-3)/(x-1)/(x^4+10*x^2-1)/(x^4-10*x^2-1) ogf] A257297 9.43863 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A257300 4.57477 [f(x)^2*x^4-f(x)^2*x^3+3*f(x)^2*x^2+2*f(x)*x^3-3*f(x)^2*x-2*f(x)*x^2+f(x)^2+5*f(x)*x+x^2-3*f(x)-x+2 ogf] A257319 11.5613 [-(94*x-48)/(47*x^2-48*x+1) lgdogf] A257319 14.3140 [1840*x/(47*x-1)/(x-1) ogf] A257319 6.99055 [{a(n+2)-48*a(n+1)+47*a(n),a(0)=0,a(1)=1840} ogf] A257319 9.39355 [-47*f(x)*x^2+48*f(x)*x-f(x)+1840*x ogf] A257352 10.5918 [-(-51*x^2-98*x-1)/(-51*x^3+53*x^2-3*x+1) lgdogf] A257352 11.6168 [-(51*x^2-2*x+1)/(x-1)^3 ogf] A257352 5.95241 [-(148*f(x)-2451)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+51*x^2-f(x)-2*x+1) ogf] A257352 6.37383 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=51} ogf] A257363 6.83436 [19*f(x)^2*x^3+21*f(x)^2*x^2-18*f(x)^2*x+9*f(x)*x^2+3*f(x)^2+17*f(x)*x-6*f(x)+x+3 ogf] A257388 10.5359 [4*f(x)^2*x^3-f(x)^2*x^2-4*f(x)*x+f(x)-1 ogf] A257388 3.99639 [{(-16*n-40)*a(n+1)+(-12*n-52)*a(n+2)+(8*n+40)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=4,a(2)=17,a(3)=72} ogf] A257390 11.5326 [-f(x)^2*x^2-4*f(x)*x+f(x)+4*x-1 ogf] A257390 3.63278 [{(-16*n-24)*a(n+1)+(-12*n-36)*a(n+2)+(8*n+36)*a(n+3)+(-n-6)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=4} ogf] A257390 8.16355 [1/8*x^2+1/2*x+1/8-1/8*(x^4+8*x^3+18*x^2-8*x+1)^(1/2) revogf] A257418 9.49487 [-(2*x^5-x^4+5*x^3-4*x^2-3*x+2)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A257439 5.77496 [(9*x^5+4*x^4-15*x^3+x^2-22*x+30)/(x-1)/(x^3+x-1) ogf] A257440 5.12360 [(x^11+2*x^10+6*x^9+7*x^8+13*x^7+9*x^6-17*x^5-26*x^4-50*x^3+3*x^2+6*x+30)/(x-1)/(x^2+x+1)/(x^3+x-1) ogf] A257441 6.77047 [(x^7+2*x^6+7*x^5+5*x^4-29*x^3+x^2-34*x+36)/(x-1)/(x^3+x-1) ogf] A257442 7.93650 [(3*x^5+4*x^4-33*x^3+4*x^2-37*x+39)/(x-1)/(x^3+x-1) ogf] A257443 7.93650 [(x^5+4*x^4-45*x^3+6*x^2-47*x+49)/(x-1)/(x^3+x-1) ogf] A257444 4.97087 [(2503*f(x)-4628)*(f(x)*x^4-f(x)*x^3-3*x^4+f(x)*x^2+62*x^3-2*f(x)*x-6*x^2+f(x)+62*x-65) ogf] A257444 8.69903 [(3*x^4-62*x^3+6*x^2-62*x+65)/(x-1)/(x^3+x-1) ogf] A257445 4.92189 [-(135+1483*f(x))*(f(x)*x^4-f(x)*x^3-x^4+f(x)*x^2+87*x^3-2*f(x)*x-4*x^2+f(x)+85*x-90) ogf] A257445 8.78110 [(x^4-87*x^3+4*x^2-85*x+90)/(x-1)/(x^3+x-1) ogf] A257446 4.91251 [-(313*f(x)+331)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+125*x^3-2*f(x)*x-3*x^2+f(x)+122*x-128) ogf] A257446 8.93722 [-(125*x^3-3*x^2+122*x-128)/(x-1)/(x^3+x-1) ogf] A257448 10.7951 [(x^2+4*x+1)/(2*x-1)/(x-1)^3 ogf] A257448 5.47693 [(6349*f(x)+13698)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-x^2+f(x)-4*x-1) ogf] A257448 9.19584 [-(4*x^3+25*x^2-2*x-9)/(2*x^4+5*x^3-9*x^2+x+1) lgdogf] A257449 7.42114 [-(-4*x^4-69*x^3-85*x^2+45*x+17)/(-2*x^5-19*x^4+10*x^3+20*x^2-8*x-1) lgdogf] A257449 8.58851 [-(x+1)*(x^2+10*x+1)/(2*x-1)/(x-1)^4 ogf] A257450 7.25062 [(x^4+26*x^3+66*x^2+26*x+1)/(2*x-1)/(x-1)^5 ogf] A257464 5.85073 [-(x^6-x^5+2*x^4+2*x^3+2*x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A257469 8.31126 [-(2*x^6-x^5+1)/(-x^7+x^6-x+1) ogf_with_Euler_transform] A257476 8.58152 [(1/(x^2+1)*exp(x)-1)*(exp(-x)*x^2+exp(-x)) revegf] A257487 10.9546 [-(8*x^2-15*x+4)/(x^2-4*x+1)/(x-1) ogf] A257487 5.85502 [(134*f(x)+433)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+8*x^2-f(x)-15*x+4) ogf] A257487 6.01048 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=13} ogf] A257487 6.46842 [-(-8*x^4+30*x^3-47*x^2+24*x-5)/(-8*x^5+55*x^4-119*x^3+103*x^2-35*x+4) lgdogf] A257516 11.89 [f(x)^2*x^2+f(x)*x^3-x^3-f(x)+1 ogf] A257517 15.1314 [-f(x)^2*x^2-2*f(x)*x^3+2*x^3+f(x)-1 ogf] A257520 4.58245 [3*f(x)^2*x^4-4*f(x)^2*x^3-2*f(x)^2*x^2+3*f(x)*x^3+4*f(x)^2*x-f(x)*x^2-f(x)^2-3*f(x)*x+x^2+f(x) ogf] A257542 13.2019 [-(x^4-x^3+2*x^2-2*x-1)/(x-1)^2 ogf] A257542 8.28118 [(f(x)+40)*(x^4+f(x)*x^2-x^3-2*f(x)*x+2*x^2+f(x)-2*x-1) ogf] A257542 9.48886 [-(2*x^4-5*x^3+3*x^2-2*x+4)/(-x^5+2*x^4-3*x^3+4*x^2-x-1) lgdogf] A257543 15.4080 [1/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^3-x-1) ogf] A257543 9.12313 [-(-9*x^8+8*x^7+5*x^4)/(-x^9+x^8+x^5-1) lgdogf] A257548 12.0981 [-(x-1)*(x^4-2*x^2-x-1)/(2*x-1) ogf] A257557 13.9303 [(x-1)/(x^5+2*x^3+2*x-1) ogf] A257583 5.25815 [{(16*n^2+56*n+48)*a(n+1)-a(n+2),a(0)=4,a(1)=32} ogf] A257589 3.58342 [{(32*n^2+144*n+160)*a(n+1)+(-4*n^2-2*n+30)*a(n+2)+(-n^2-7*n-12)*a(n+3),a(0)=1,a(1)=9,a(2)=50} ogf] A257589 4.61755 [64*f(x)^2*x^4-48*f(x)^2*x^3+12*f(x)^2*x^2-64*f(x)*x^3-f(x)^2*x+48*f(x)*x^2-12*f(x)*x+16*x^2+f(x)+4*x-1 ogf] A257595 5.80076 [-x^3*(x^5+3*x^4+3*x^3+2*x^2+x+1)/(x^3+x^2-1)^3 ogf] A257600 3.73763 [{(13*n^2-73*n)*a(n)+(-108*n^2-542*n-864)*a(n+1)+(147*n^2+763*n+1008)*a(n+2)+(-52*n^2-268*n-336)*a(n+3),a(0)=4,a(1)=35,a(2)=100} ogf] A257600 7.50834 [-(-10*x^4+40*x^3-45*x^2-10*x+35)/(-2*x^6+2*x^5+20*x^4-55*x^3+50*x^2-11*x-4) lgdogf] A257600 8.65757 [(2*x^5-20*x^3+35*x^2-15*x-4)/(x-1)^5 ogf] A257601 8.30298 [-(-10*x^4+40*x^3-45*x^2-10*x+35)/(-10*x^5+50*x^4-95*x^3+80*x^2-23*x-2) lgdogf] A257601 8.89006 [(10*x^4-40*x^3+55*x^2-25*x-2)/(x-1)^5 ogf] A257602 10.6055 [-(-x^4-6*x^3-66*x^2-46*x-6)/(-x^5-20*x^3+20*x^2+1) lgdogf] A257602 9.72174 [-(x^4+x^3+21*x^2+x+1)/(x-1)^5 ogf] A257633 4.52724 [{(-256*n^3-1664*n^2-3568*n-2520)*a(n+1)+(27*n^3+189*n^2+438*n+336)*a(n+2),a(0)=1,a(1)=6} ogf] A257633 6.33814 [(-128*x^3-3*x+1/2+1/2*(65536*x^6+3072*x^4-512*x^3+144*x^2-12*x+1)^(1/2))*x revogf] A257637 8.50713 [-x*(x^9-2*x^8+3*x^7-x^6-x^4-x^2-1)/(x-1)^2 ogf] A257640 11.1492 [-(x^5-2*x^4+2*x^3-4*x^2+2*x-2)/(-x^6+1) ogf_with_Euler_transform] A257645 15.8824 [-(x+29)/(x^2+13*x-14) lgdogf] A257645 17.6088 [(x+14)/(x-1)^2 ogf] A257645 9.10118 [(30*f(x)+421)*(f(x)*x^2-2*f(x)*x+f(x)-x-14) ogf] A257645 9.64290 [{-a(n+2)+2*a(n+1)-a(n),a(0)=14,a(1)=29} ogf] A257651 6.24647 [-(-3*x^6-x^5-6*x^4-2*x^3-4*x^2-2)/(x^7+x^6+2*x^5+2*x^4+2*x^3+2*x^2+x+1) ogf_with_Euler_transform] A257651 99.9999 Evaluated at exp(-Pi) 1/24*exp(2/3*Pi)*Pi^(5/4)*3^(1/2)*GAMMA(11/12)^4*GAMMA(7/12)^3*2^(1/2)*(3^(1/2)-1)/GAMMA(2/3)/GAMMA(3/4)^10 A257653 6.39512 [-(3*x^11+3*x^9-2*x^8+3*x^7+5*x^5+3*x^3-2*x^2+3*x)/(-x^12+1) ogf_with_Euler_transform] A257653 99.9999 Evaluated at exp(-Pi) 1/4*Pi^(1/12)*3^(2/3)*GAMMA(2/3)^(4/3)/GAMMA(3/4)^(17/3)*GAMMA(11/12)^(2/3)*GAMMA(7/12)^2*(2+3^(1/2))/(2^(1/2)*(1+3^(1/2)))^(2/3) A257656 5.27858 [-(4*x^9-x^8-2*x^7-x^6+5*x^5+x^3-x^2+2*x-1)/(-x^10+x^8-x^6+x^4-x^2+1) ogf_with_Euler_transform] A257657 5.22522 [-(-x^11-3*x^10-x^9-x^8-x^7-3*x^6-2*x^5-3*x^4-x^3-x^2-x-3)/(x^12-1) ogf_with_Euler_transform] A257666 5.94759 [-(x^9+x^8-2*x^6-3*x^5-2*x^4+x^3-x-1)/(x+1)/(x^8-x^5-2*x^4-x^3-x+1) ogf] A257708 8.10251 [(x^2+4*x+5)*(2*x^2-2*x-5)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A257709 4.75008 [(2*x^12+x^11+6*x^10+2*x^9+5*x^8+2*x^7-14*x^6-9*x^5-50*x^4-14*x^3-25*x^2-6*x-8)/(x-1)/(x^12-10*x^6+1) ogf] A257711 6.67829 [-21*(x^4-245*x^2+156*x+10)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A257712 5.11738 [-12*(3*x^8+7*x^6+13*x^5-3387*x^4+2312*x^3+75*x^2+13*x+10)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1)/(x^4+34*x^2+1) ogf] A257713 4.95212 [-15*(8*x^8-5*x^7+5*x^5-11445*x^4+7595*x^3+1444*x^2+385*x+99)/(x-1)/(x^2+6*x-1)/(x^2-6*x-1)/(x^4+38*x^2+1) ogf] A257721 3.96645 [{-a(n+3)+1155*a(n+2)-1155*a(n+1)+a(n),a(0)=703,a(1)=810901,a(2)=935778691} ogf] A257721 7.32692 [-(x^2-1064*x+703)/(x-1)/(x^2-1154*x+1) ogf] A257723 4.62915 [-2*(473*x^4+1620*x^3-17683432*x^2+14982300*x+23639)/(x-1)/(x^2+194*x+1)/(x^2-194*x+1) ogf] A257761 5.39232 [-(1266650*f(x)+32157211)*(f(x)*x^4-48*f(x)*x^2+92*x^3+138*x^2+f(x)-138*x-92) ogf] A257761 9.36165 [-46*(x-1)*(2*x+1)*(x+2)/(x^4-48*x^2+1) ogf] A257765 7.27480 [-39*(x^5+x^4+5*x^3-61*x^2-41*x-5)/(x^6-102*x^3+1) ogf] A257767 4.79193 [-11*(8*x^11+5*x^10+5*x^9+8*x^8+13*x^7+23*x^6-328*x^5-127*x^4-103*x^3-40*x^2-23*x-13)/(x^12-46*x^6+1) ogf] A257780 5.43665 [(124610136*f(x)-702351071)*(f(x)*x^4-96*f(x)*x^2+94*x^3+94*x^2+f(x)-5170*x-3854) ogf] A257780 9.25700 [-94*(x^3+x^2-55*x-41)/(x^4-96*x^2+1) ogf] A257781 5.08997 [-5*(39*x^11+31*x^10+27*x^9+23*x^8+21*x^7+21*x^6-211*x^5-159*x^4-131*x^3-99*x^2-77*x-49)/(x^6+2*x^3-1)/(x^6-2*x^3-1) ogf] A257787 3.43559 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A257792 13.1004 [-1/(x^2+x+1)/(x^7-2*x^6+x^5+x^4-x^3+2*x-1) ogf] A257811 9.06929 [-(6*x^11+11*x^10+4*x^9+9*x^8+2*x^7+7*x^6+12*x^5+5*x^4+10*x^3+3*x^2+8*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A257823 5.96426 [-59*(x-1)*(7*x^6+16*x^5+163*x^4+354*x^3+163*x^2+16*x+7)/(x^8-1060*x^4+1) ogf] A257826 5.79202 [-22*(11*x^7+11*x^6+101*x^5+115*x^4-2545*x^3-1789*x^2-115*x-101)/(x^8-394*x^4+1) ogf] A257828 4.86880 [-679*(x-1)*(x^4+2277*x^3+5415742*x^2+2277*x+1)/(x^6-125619266*x^3+1) ogf] A257838 3.88314 [{(4*n^2+18*n+20)*a(n+1)+(15*n^2+67*n+76)*a(n+2)+(-8*n^2-38*n-36)*a(n+3)+(n^2+5*n+4)*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=16} ogf] A257838 7.1292 [-4*f(x)^2*x^3-15*f(x)^2*x^2+8*f(x)^2*x-4*f(x)*x^2-f(x)^2-3*f(x)*x+f(x)-x ogf] A257844 11.1590 [x^5*(3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A257845 10.0352 [x^6*(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^2 ogf] A257846 8.89198 [x^7*(5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A257847 7.66805 [x^8*(6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A257848 7.03550 [x^9*(7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A257849 7.42184 [x^10*(8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A257850 6.78777 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A257859 3.22775 [{(-2-n)*a(n+1)+(2*n^2+11*n+18)*a(n+2)+(-4*n^2-31*n-58)*a(n+3)+(2*n+8)*a(n+4),a(0)=2,a(1)=1,a(2)=1,a(3)=4} ogf] A257863 10.3516 [-(-6*x^5+5*x^4-2*x-1)/(-x^6+x^5-x^2-x+1) lgdogf] A257863 18.4028 [-1/(x^6-x^5+x^2+x-1) ogf] A257873 4.59823 [-(3*x^11+2*x^10-x^9+4*x^7+2*x^6+2*x^4+x^3+2*x+2)/(-x^12+x^10-x^8+x^4-x^2+1) ogf_with_Euler_transform] A257890 5.20675 [{(n+9)*a(n+1)+(-3*n-22)*a(n+2)+(2*n+8)*a(n+3),a(0)=3,a(1)=12,a(2)=34} ogf] A257890 7.65992 [(x^2-x+1)*(x^2-3*x+3)/(x-1)^6 ogf] A257890 7.88745 [-(-2*x^4+8*x^3-16*x^2+16*x-12)/(-x^5+5*x^4-11*x^3+13*x^2-9*x+3) lgdogf] A257919 6.06758 [-(1080*x^3-453*x^2+4*x-7)/(27*x-1)/(9*x-1)/(3*x-1)^2/(x-1)^2 ogf] A257920 7.25894 [-(2*x^4-2*x^3+5*x^2-3*x+2)/(-x^5-x^3-x^2-1) ogf_with_Euler_transform] A257925 6.51396 [(x+1)*(x^3-3*x^2-9*x-1)/(x-1)^5 ogf] A257931 4.90605 [x*(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x-1)^2/(x^2-x+1)/(x^8-x^4+1) ogf] A257932 15.3612 [1/(x-1)/(x+1)/(x^2+x+1)/(x^3-x^2+2*x-1) ogf] A257932 9.12074 [-(-7*x^6-5*x^4+3*x^2+2*x+1)/(-x^7-x^5+x^3+x^2+x-1) lgdogf] A257934 13.3800 [1/(x-1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) ogf] A257936 10.9787 [{a(n+2)-a(n+1),a(0)=6,a(1)=1} ogf] A257936 17.5659 [-f(x)*x+f(x)+5*x-6 ogf] A257936 21.3639 [(-6+5*x)/(x-1) ogf] A257936 21.3639 [-1/(-5*x^2+11*x-6) lgdogf] A257939 7.17707 [-2*x*(3*x^3+19*x^2+57*x+1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A257940 7.09765 [x*(3*x^3+17*x^2-51*x-1)/(x-1)/(x^2+18*x+1)/(x^2-18*x+1) ogf] A257942 6.14903 [-(x^6+9*x^4-8*x^3+9*x^2+1)/(x-1)^3/(x^2+1)^3 ogf] A257956 2.95936 [-(710427*f(x)+529903)*(2*f(x)*x^4+4*f(x)*x^3-f(x)*x^2-3*f(x)*x-5*x^2+f(x)-3*x-1) ogf] A257956 6.13316 [(5*x^2+3*x+1)/(2*x^2+2*x-1)/(x^2+x-1) ogf] A257970 13.1886 [-(-6*x^2-2)/(3*x^3-x^2-3*x+1) lgdogf] A257970 14.9305 [-(x+1)*(x-1)^2/(3*x-1) ogf] A257970 8.15790 [{-a(n+4)+3*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=16} ogf] A257970 8.69576 [-(199*f(x)-108)*(x^3+3*f(x)*x-x^2-f(x)-x+1) ogf] A257984 8.23582 [(x^7+3*x^6+3*x^5+4*x^4+3*x^3+3*x^2+3*x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A258000 9.68878 [-1/(x^9-x^7-x^6-x^5+x^4+x^3+x^2+x-1) ogf] A258011 7.81219 [(5*x^12+4*x^11+2*x^10+4*x^9+2*x^8+4*x^7+6*x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x+1)/(x^4-x^2+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A258016 10.4935 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=19,a(1)=39,a(2)=61} ogf] A258016 13.8707 [-(3*x^3+43*x^2+83*x+39)/(3*x^4+20*x^3+16*x^2-20*x-19) lgdogf] A258016 19.1548 [(3*x^2+20*x+19)/(x+1)/(x-1)^2 ogf] A258016 9.97311 [(11865*f(x)-86059)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-20*x-19) ogf] A258049 6.59586 [-(x^21-x^20+x^19-x^18-x^9+2*x^8-x^7-x^4+x^3-x^2-1)/(x-1)^2 ogf] A258050 7.53485 [(x^20-x^19+x^17-x^16-x^7+2*x^6-x^5-x^2+3)/(x-1)^2 ogf] A258054 9.06929 [-(8*x^11+3*x^10+10*x^9+5*x^8+12*x^7+7*x^6+2*x^5+9*x^4+4*x^3+11*x^2+6*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A258056 5.39168 [(7*x^14+14*x^13+28*x^12+56*x^11+112*x^10+224*x^9+21*x^8+42*x^7+84*x^6+28*x^5+56*x^4-265*x^3-113*x^2-226*x-75)/(x-1)/(x^2+x+1) ogf] A258065 10.7530 [-(-4*x^5-2*x^3-4*x^2-2*x)/(x^6-1) ogf_with_Euler_transform] A258069 43.2800 [2/(-x+1) lgdogf] A258069 92.9931 [[2] ogf_with_Euler_transform] A258070 10.2102 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A258070 14.0173 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A258070 25.0613 [x/(x-1)^2 ogf] A258070 29.5366 [2/(-x+1) lgdogf] A258070 63.3938 [[2] ogf_with_Euler_transform] A258071 10.2102 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A258071 14.0173 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A258071 25.0613 [x/(x-1)^2 ogf] A258071 29.5366 [2/(-x+1) lgdogf] A258071 63.3938 [[2] ogf_with_Euler_transform] A258073 12.4204 [-(157116*x-157115)/(2*x-1)/(x-1) ogf] A258073 5.99228 [-(314227*f(x)+49370089336)*(2*f(x)*x^2-3*f(x)*x+f(x)+157116*x-157115) ogf] A258073 6.90020 [-(-314232*x^2+628460*x-314229)/(-314232*x^3+785578*x^2-628461*x+157115) lgdogf] A258073 7.42522 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=157115,a(1)=314229} ogf] A258085 9.56929 [-x*(x^6+x^5+x^4-x^2-2*x-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A258087 8.91637 [x^2*(x^3-x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A258087 9.42298 [-(-2*x^4+2*x^3+6*x^2+9*x+3)/(-x^5+x^4+3*x^3-2*x-1) lgdogf] A258089 11.1065 [x*(2*x+1)*(4*x-1)/(x^4+2*x^3+3*x^2+4*x-1) ogf] A258089 5.70969 [(97907*f(x)-308691)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2-8*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A258089 6.81325 [-(-16*x^5-22*x^4-4*x^3+32*x^2-10*x+2)/(-8*x^6-18*x^5-27*x^4-36*x^3+3*x^2+6*x-1) lgdogf] A258090 9.73765 [-(-4*x^3+2*x^2-2)/(x^4-x^3+x-1) ogf_with_Euler_transform] A258093 15.1388 [-(-2*x+1)/(-x^2+x-1) ogf_with_Euler_transform] A258096 6.56272 [-(4*x^6+2*x^5+x^4-x^3+5*x^2+3*x+2)/(-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A258096 99.9999 Evaluated at exp(-Pi) 1/64*exp(1/2*Pi)*GAMMA(5/8)^4*(3+2*2^(1/2))*2^(1/2)*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A258109 12.1223 [-(6*x^2-14*x+5)/(2*x^3-7*x^2+5*x-1) lgdogf] A258109 21.2959 [-1/(2*x-1)/(x^2-3*x+1) ogf] A258109 6.97299 [{a(n+3)-5*a(n+2)+7*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A258109 7.57642 [(5695*f(x)-508)*(2*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)+1) ogf] A258121 13.4375 [-(x-2)*(x^2+1)/(x^2-3*x+1) ogf] A258121 7.06628 [{-a(n+4)+3*a(n+3)-a(n+2),a(0)=2,a(1)=5,a(2)=15,a(3)=39} ogf] A258121 7.66064 [-(27*f(x)+46)*(f(x)*x^2+x^3-3*f(x)*x-2*x^2+f(x)+x-2) ogf] A258121 8.90966 [-(x^4-6*x^3+8*x^2-5)/(-x^5+5*x^4-8*x^3+7*x^2-7*x+2) lgdogf] A258130 4.00238 [{-a(n+3)+1443*a(n+2)-1443*a(n+1)+a(n),a(0)=1045,a(1)=1325345,a(2)=1910970885} ogf] A258130 6.97850 [-95*(63*x^2-1922*x+11)/(x-1)/(x^2-1442*x+1) ogf] A258131 5.34606 [-11*(95*x^4-64*x^3-37550*x^2+27136*x+4515)/(x-1)/(x^2+20*x+1)/(x^2-20*x+1) ogf] A258133 4.51618 [(x^9-x^7-x^6+x^4-x^3+x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^2 ogf] A258160 12.3743 [-(-x^2+4*x+1)/(-x^3+x^2+3*x-2) lgdogf] A258160 17.2165 [8*(x-2)/(x^2+x-1) ogf] A258160 9.10296 [(5*f(x)-78)*(f(x)*x^2+f(x)*x-f(x)-8*x+16) ogf] A258160 9.54166 [{-a(n+2)+a(n+1)+a(n),a(0)=16,a(1)=8} ogf] A258196 8.85626 [-(-2*x^5-x^3-2*x^2-x)/(x^6-1) ogf_with_Euler_transform] A258199 16.1610 [-x*(14*x^17+3*x^3+1)/(x-1) ogf] A258210 7.20334 [-(2*x^5+x^4+2*x^3+2*x^2+2*x+1)/(-x^6+1) ogf_with_Euler_transform] A258225 6.61793 [(100*x^30-100*x^29-100*x^12+70*x^11-30*x^10+60*x^9-3*x^2-3*x+7)/(x^2+x+1)/(x-1)^2 ogf] A258228 4.32357 [-(2*x^11-x^10+3*x^9-2*x^8+2*x^7-x^6+4*x^5-x^4+2*x^3-2*x^2+3*x-1)/(-x^12+1) ogf_with_Euler_transform] A258228 99.9999 Evaluated at exp(-Pi) 1/4*Pi^(1/6)*3^(1/3)*GAMMA(2/3)^(2/3)/GAMMA(3/4)^(10/3)*GAMMA(11/12)^(1/3)*GAMMA(7/12)/(2^(1/2)*(1+3^(1/2)))^(1/3)*2^(1/2)*(1+3^(1/2)) A258272 4.61592 [(100*x^7+50*x^6+30*x^5+10*x^4+5*x^3+3*x^2+x+1)/(x-1)^2 ogf] A258274 6.79196 [(50*x^8+25*x^7+15*x^6+5*x^5+4*x^4+1)/(x-1)^2 ogf] A258277 8.73890 [-(-2*x^5-x^4-2*x^2-1)/(x^6-1) ogf_with_Euler_transform] A258278 8.83590 [-(-2*x^3+2*x-2)/(x^4-x^3+x-1) ogf_with_Euler_transform] A258279 8.08991 [-(-2*x^5+2*x^4-2*x^3-2*x+2)/(x^6-1) ogf_with_Euler_transform] A258291 8.79471 [-(-2*x^5-x^4-2*x^3-2*x-1)/(x^6-1) ogf_with_Euler_transform] A258292 99.9999 Evaluated at exp(-Pi) 1/4/Pi^(1/6)*3^(2/3)*GAMMA(2/3)^(4/3)/GAMMA(3/4)^(14/3)*GAMMA(11/12)^(2/3)*GAMMA(7/12)^2*(2+3^(1/2))/(2^(1/2)*(1+3^(1/2)))^(2/3) A258313 13.1168 [-(4*x^5-4*x^3+x)/(-2*x^2-3*x-1) revogf] A258321 10.6661 [-x*(2*x+1)*(x-2)/(x^2+x-1)^2 ogf] A258321 5.68337 [-(5*f(x)+7)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x-3*x^2+f(x)-2*x) ogf] A258321 9.73278 [-(-4*x^3+9*x^2+7*x+7)/(-2*x^4+x^3+7*x^2-x-2) lgdogf] A258327 99.9999 Evaluated at exp(-Pi) 2/3*3^(1/2)*GAMMA(2/3)*GAMMA(3/4)^3/Pi^(1/2)*exp(-1/12*Pi)/GAMMA(11/12)^2/GAMMA(7/12)/(3^(1/2)-1) A258329 4.78113 [-(80*x^16-40*x^15+60*x^14-50*x^13-40*x^12+60*x^11-50*x^10-20*x^9+7*x^6-3*x^5-3*x^4+7*x^3-3*x^2-3*x-3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A258340 12.6953 [(4*x-1)/(x-1)/(3*x-1)/(7*x-1) ogf] A258340 6.12878 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=1,a(1)=7,a(2)=46} ogf] A258340 6.40486 [(1501*f(x)+203)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)-4*x+1) ogf] A258340 7.89932 [-(168*x^3-187*x^2+62*x-7)/(84*x^4-145*x^3+75*x^2-15*x+1) lgdogf] A258341 10.7627 [-(2*x^3+6*x^2+4*x+2)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A258342 8.08330 [-(-6*x^4-24*x^3-36*x^2-18*x-6)/(x^8-4*x^6+6*x^4-4*x^2+1) ogf_with_Euler_transform] A258343 8.59854 [-(x^4+4*x^3+6*x^2+3*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A258344 10.2171 [-(-2*x^4-4*x^3-6*x^2-2*x)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A258345 7.65270 [-(6*x^6+18*x^5+36*x^4+24*x^3+6*x^2)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A258346 8.06368 [-(x^6+3*x^5+6*x^4+4*x^3+x^2)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A258347 18.6433 [2/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A258348 17.7156 [2*x/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A258349 19.8405 [x/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A258350 15.5011 [-6/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A258351 14.5032 [-6*x^2/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A258352 14.7581 [-x^2/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A258386 13.6835 [-(-x^2+3*x)/(-x^3+x^2+x-1) ogf_with_Euler_transform] A258390 3.89668 [{(-32*n^2-256*n-504)*a(n+1)+(12*n^2+114*n+270)*a(n+2)+(-n^2-11*n-30)*a(n+3),a(0)=2,a(1)=15,a(2)=98} ogf] A258402 4.31959 [{(7*n^2+50*n+72)*a(n+1)+(-24*n^2-152*n-200)*a(n+2)+(17*n^2+62*n+56)*a(n+3),a(0)=0,a(1)=11,a(2)=72} ogf] A258402 8.59274 [-x*(3*x^3-7*x^2+17*x+11)/(x-1)^5 ogf] A258402 9.29215 [-(6*x^3-12*x^2+54*x+72)/(3*x^4-10*x^3+24*x^2-6*x-11) lgdogf] A258431 5.28586 [64*f(x)^2*x^3-48*f(x)^2*x^2+16*f(x)*x^3+12*f(x)^2*x-8*f(x)*x^2+x^3-f(x)^2+f(x)*x ogf] A258431 5.32309 [{(-16*n-8)*a(n)+(8*n+6)*a(n+1)+(-n-1)*a(n+2),a(0)=0,a(1)=1,a(2)=5} ogf] A258431 9.21804 [(-1/2*(8*x+1)/(-1+4*x)^(1/2)-1/2*I)/x/(-1+4*x)^(1/2) lgdogf] A258439 11.5543 [-(3*x^3+2*x^2-x-1)/(3*x^2-1)/(2*x^2-1) ogf] A258439 9.50671 [-6*f(x)*x^4+5*f(x)*x^2-3*x^3-2*x^2-f(x)+x+1 ogf] A258440 11.7821 [(2*x^3+3*x^2+5*x+3)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A258470 4.59880 [-x^7*(x^10-x^3-1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x+1)^2/(x-1)^4 ogf] A258538 3.63333 [-4*(432*x^8-918*x^7-183*x^6+1473*x^5-541*x^4-635*x^3+350*x^2+79*x-55)/(x+1)/(3*x-1)/(3*x^2-1)^2/(x-1)^3 ogf] A258547 10.6313 [-4*(2*x^2-5*x+4)/(2*x-1)/(x-1)^2 ogf] A258547 5.62835 [(1793*f(x)-2424)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+8*x^2-f(x)-20*x+16) ogf] A258547 5.77390 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=16,a(1)=44,a(2)=104} ogf] A258547 7.78805 [-(4*x^3-16*x^2+25*x-11)/(4*x^4-16*x^3+25*x^2-17*x+4) lgdogf] A258548 3.82984 [(x^10-6*x^9+2*x^8+12*x^7-12*x^6-18*x^5+43*x^4+16*x^3-68*x^2+64*x-44)/(x^6-x^4-x^2-x+1)/(x-1)^3 ogf] A258549 4.13224 [(29*x^10-103*x^9+129*x^8-67*x^7+28*x^6+68*x^5-156*x^4+304*x^3-382*x^2+206*x-104)/(x+1)/(x^2+1)/(x-1)^5 ogf] A258550 3.72111 [-(14*x^11-136*x^10+357*x^9-433*x^8+412*x^7-128*x^6-502*x^5+724*x^4-897*x^3+977*x^2-568*x+228)/(x+1)/(x^2+1)/(x-1)^5 ogf] A258551 3.53370 [-(3*x^12+50*x^11-368*x^10+778*x^9-834*x^8+1120*x^7-888*x^6-579*x^5+1428*x^4-1987*x^3+2259*x^2-1414*x+480)/(x+1)/(x^2+1)/(x-1)^5 ogf] A258555 5.29123 [(x^9+8*x^8-5*x^7+13*x^6+7*x^5-52*x^4+6*x^3+6*x^2-20*x+44)/(x+1)/(x^2+1)/(x-1)^4 ogf] A258556 5.04604 [(6*x^9+37*x^8-31*x^7-7*x^6+81*x^5-158*x^4-25*x^3+22*x^2-16*x+104)/(x+1)/(x^2+1)/(x-1)^4 ogf] A258557 4.58379 [(40*x^10+16*x^9-28*x^8-37*x^7+35*x^6+248*x^5-312*x^4-113*x^3-28*x^2-32*x+228)/(x+1)/(x^2+1)/(x-1)^4 ogf] A258558 4.09276 [(108*x^11+88*x^10-230*x^9+214*x^8-309*x^7+245*x^6+441*x^5-849*x^4+109*x^3-163*x^2-111*x+480)/(x+1)/(x^2+1)/(x-1)^4 ogf] A258559 3.81936 [(72*x^12+277*x^11-36*x^10-488*x^9+724*x^8-1076*x^7+738*x^6+879*x^5-1827*x^4+858*x^3-646*x^2-434*x+988)/(x+1)/(x^2+1)/(x-1)^4 ogf] A258582 11.3414 [x*(x^2+10*x+5)/(x-1)^4 ogf] A258582 12.7162 [-(-2*x^2-32*x-30)/(-x^3-9*x^2+5*x+5) lgdogf] A258582 4.19634 [{(15+5*n)*a(n+4)+(-20+5*n)*a(n+3)+(-41-9*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=5,a(2)=30,a(3)=91} ogf] A258582 5.7093 [-(25696*f(x)+137769)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-10*x^2+f(x)-5*x) ogf] A258588 10.2830 [-(4*x^3-4*x^2-10*x-1)/(x+1)/(x-1)^2 ogf] A258588 5.33194 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=11,a(2)=16,a(3)=22} ogf] A258588 5.53702 [-(3333*f(x)+8315)*(f(x)*x^3-f(x)*x^2+4*x^3-f(x)*x-4*x^2+f(x)-10*x-1) ogf] A258588 8.46838 [-(12*x^2+21*x+11)/(-4*x^5+4*x^4+14*x^3-3*x^2-10*x-1) lgdogf] A258589 11.8502 [-(5*x^3-5*x^2-12*x-1)/(x+1)/(x-1)^2 ogf] A258589 6.14457 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=13,a(2)=19,a(3)=26} ogf] A258589 6.3322 [-(3341*f(x)+11517)*(f(x)*x^3-f(x)*x^2+5*x^3-f(x)*x-5*x^2+f(x)-12*x-1) ogf] A258589 9.75902 [-(14*x^2+25*x+13)/(-5*x^5+5*x^4+17*x^3-4*x^2-12*x-1) lgdogf] A258591 99.9999 Evaluated at exp(-Pi) 1+1/2*2^(1/2) A258593 99.9999 Evaluated at exp(-Pi) 1/16*exp(1/2*Pi)*2^(1/2)*(2+2^(1/2)) A258597 13.9545 [{a(n+1)-3*a(n),a(0)=13} ogf] A258597 17.6092 [-3*f(x)*x+f(x)-13 ogf] A258597 26.4139 [3/(-3*x+1) lgdogf] A258597 28.4457 [-13/(3*x-1) ogf] A258598 14.1389 [{a(n+1)-3*a(n),a(0)=17} ogf] A258598 17.842 [-3*f(x)*x+f(x)-17 ogf] A258598 26.7630 [3/(-3*x+1) lgdogf] A258598 28.8217 [-17/(3*x-1) ogf] A258617 10.4763 [-4*x*(x^2-4*x-3)/(x-1)^4 ogf] A258617 11.9048 [-(2*x^2-10*x-16)/(x^3-5*x^2+x+3) lgdogf] A258617 3.90905 [{(-9-3*n)*a(n+4)+(14-n)*a(n+3)+(15+5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=12,a(2)=64,a(3)=180} ogf] A258617 5.30891 [-(30753*f(x)+535825)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-16*x^2+f(x)-12*x) ogf] A258618 10.4763 [-x*(5*x^2-16*x-13)/(x-1)^4 ogf] A258618 11.3872 [-(-10*x^2+38*x+68)/(-5*x^3+21*x^2-3*x-13) lgdogf] A258618 3.83278 [{(39+13*n)*a(n+4)+(-62+3*n)*a(n+3)+(-59-21*n)*a(n+2)+(10+5*n)*a(n+1),a(0)=0,a(1)=13,a(2)=68,a(3)=189} ogf] A258618 5.34502 [(856320*f(x)+17632901)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-16*x^2+f(x)-13*x) ogf] A258674 4.02607 [-(14257*f(x)-1777536)*(256*f(x)*x^4+32*f(x)*x^3+16384*x^3+2*f(x)*x+5120*x^2-f(x)+960*x+320) ogf] A258674 7.13051 [-64*(256*x^3+80*x^2+15*x+5)/(16*x^2+2*x-1)/(16*x^2+1) ogf] A258675 3.29010 [-16*(1048576*x^7-442368*x^6+85248*x^5-33408*x^4-4964*x^3+2200*x^2-275*x+100)/(4*x-1)/(4*x+1)/(16*x^2-9*x+1)/(256*x^4+36*x^2+1) ogf] A258683 2.71014 [(f(x)-1)^2*(-2*x^4+f(x)-1) ogf] A258684 10.0144 [-(x^2+2*x-63)/(x^3-61*x^2-61*x+1) lgdogf] A258684 14.5862 [(x+1)/(x^2-62*x+1) ogf] A258684 7.45518 [(3904*f(x)+65)*(f(x)*x^2-62*f(x)*x+f(x)-x-1) ogf] A258684 7.98770 [{-a(n+2)+62*a(n+1)-a(n),a(0)=1,a(1)=63} ogf] A258717 11.1784 [-(10*x^3-20*x^2-22*x-16)/(5*x^4-10*x^3-8*x^2+10*x+3) lgdogf] A258717 14.5658 [x*(5*x^2-10*x-3)/(x+1)/(x-1)^3 ogf] A258717 7.56965 [-(1828*f(x)-24329)*(f(x)*x^4-2*f(x)*x^3-5*x^3+2*f(x)*x+10*x^2-f(x)+3*x) ogf] A258721 11.7773 [-(x^2+38*x+105)/(x^3+17*x^2+11*x-29) lgdogf] A258721 13.0859 [-(x^2+18*x+29)/(x-1)^3 ogf] A258721 6.75748 [(20277*f(x)-668137)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+18*x+29) ogf] A258721 7.04626 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=105,a(2)=229} ogf] A258723 11.1913 [48*f(x)^2*x^2-12*f(x)^2*x+f(x)^2-1 ogf] A258723 14.2634 [-(6-48*x)/(-48*x^2+12*x-1) lgdogf] A258723 4.69312 [{(n+3)*a(n+3)+(-30-12*n)*a(n+2)+(96+48*n)*a(n+1),a(0)=1,a(1)=6,a(2)=30} ogf] A258725 3.83518 [-(60*x^7-464*x^6+836*x^5-1215*x^4+1712*x^3-736*x^2+152*x-190)/(x^8-8*x^7+16*x^6-24*x^5+34*x^4-20*x^3+6*x^2-4*x+1) ogf] A258731 4.57136 [-(x-2)*(4*x^6-23*x^5+58*x^4-80*x^3+64*x^2-30*x+8)/(x-1)^8 ogf] A258732 4.42797 [-(10*x^7-80*x^6+282*x^5-576*x^4+740*x^3-600*x^2+287*x-64)/(x-1)^8 ogf] A258733 3.97069 [(x^8-32*x^7+242*x^6-904*x^5+2026*x^4-2856*x^3+2476*x^2-1208*x+256)/(x-1)^8 ogf] A258734 3.55900 [(204*x^9-1576*x^8+5164*x^7-8940*x^6+7460*x^5+988*x^4-9403*x^3+10136*x^2-5056*x+1024)/(x-1)^8 ogf] A258735 3.36393 [(1476*x^10-9344*x^9+22372*x^8-20224*x^7-9050*x^6+30588*x^5-7096*x^4-33764*x^3+42011*x^2-21064*x+4096)/(x-1)^8 ogf] A258747 6.40872 [-(2*x^11+x^10+x^6+3*x^5+x^4+1)/(-x^12+1) ogf_with_Euler_transform] A258747 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi^(1/2)*2^(7/8)/GAMMA(11/12)/GAMMA(7/12) A258756 6.73768 [(x^43-x^42+x^31-x^30+x^28-x^26+x^19-x^18+x^16-x^14+4*x^13-3*x^12+x^10-2*x^8+x^7-x^6-x^4-x^2-1)/(x-1) ogf] A258764 6.48985 [-(2*x^11+x^9+2*x^8+x^5+2*x^2+x)/(-x^12+1) ogf_with_Euler_transform] A258764 99.9999 Evaluated at exp(-Pi) -1/6*exp(2/3*Pi)*Pi^(3/2)*2^(7/8)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^4 A258770 7.11843 [-(-5*x^11-4*x^9-x^8-4*x^7-4*x^5-4*x^3-x^2-4*x)/(x^12-1) ogf_with_Euler_transform] A258770 99.9999 Evaluated at exp(-Pi) -27/16384*exp(17/24*Pi)*2^(1/2)*GAMMA(2/3)^16*GAMMA(7/12)^(11/2)*(11*3^(1/2)+19)/Pi^(27/4)/GAMMA(11/12)^(21/2)/(-2+3^(1/2))/(2^(1/2)*(3^(1/2)-1))^(1/2) A258771 12.4777 [-(-5*x^3+7*x^2-12*x+7)/(x^4-1) ogf_with_Euler_transform] A258771 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/8*Pi)*Pi^(5/4)*2^(1/4)/GAMMA(3/4)^5 A258779 11.6011 [-(4*x^3-2*x^2+8*x-2)/(-x^4+1) ogf_with_Euler_transform] A258779 99.9999 Evaluated at exp(-Pi) 1/2*exp(1/12*Pi)*Pi*2^(1/4)/GAMMA(3/4)^4 A258800 5.58459 [-x*(x^2+x+1)*(x^6+x^3+1)/(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A258806 5.04198 [(127*x^6+1170*x^5+2451*x^4+1156*x^3+141*x^2-6*x+1)/(x-1)^8 ogf] A258807 7.11882 [x*(x^4-4*x^3+36*x^2+56*x+31)/(x-1)^6 ogf] A258807 7.45461 [-(-2*x^4+8*x^3-132*x^2-352*x-242)/(-x^5+5*x^4-40*x^3-20*x^2+25*x+31) lgdogf] A258808 4.77154 [x*(x^6-6*x^5+141*x^4+1156*x^3+2451*x^2+1170*x+127)/(x-1)^8 ogf] A258809 4.04802 [x*(x^7-9*x^6-219*x^5-4349*x^4-15549*x^3-15675*x^2-4265*x-255)/(x-1)^9 ogf] A258810 3.60056 [x*(x^8-8*x^7+538*x^6+14524*x^5+88360*x^4+156064*x^3+88318*x^2+14572*x+511)/(x-1)^10 ogf] A258831 7.71187 [-(4*x^11+2*x^10-2*x^9+2*x^6+4*x^5+2*x^4-2*x+2)/(-x^12+1) ogf_with_Euler_transform] A258831 99.9999 Evaluated at exp(-Pi) 1/18*exp(5/6*Pi)*Pi/GAMMA(11/12)^2/GAMMA(7/12)^2 A258832 6.59024 [-(2*x^11+x^10-x^9+x^6+2*x^5+x^4-x+1)/(-x^12+1) ogf_with_Euler_transform] A258832 99.9999 Evaluated at exp(-Pi) 1/6*exp(5/12*Pi)*Pi^(1/2)*3^(1/4)/GAMMA(3/4)^2 A258835 12.6979 [-(-4*x^4-x^3-3)/(x^5+x^4+x+1) ogf_with_Euler_transform] A258835 99.9999 Evaluated at exp(-Pi) 1/64*exp(7/8*Pi)/Pi*2^(1/8)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))*(2-2^(1/2))^(1/2) A258837 12.4950 [(3*x-1)/(x-1)^3 ogf] A258837 16.5558 [-6*x/(3*x^2-4*x+1) lgdogf] A258837 5.96606 [-(172*f(x)+557)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-3*x+1) ogf] A258837 5.96606 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=-3} ogf] A258841 10.0557 [-(-2173*x^2+3818*x-1699)/(-2173*x^3+6255*x^2-6009*x+1927) lgdogf] A258841 12.2105 [-(2173*x^2-4082*x+1927)/(x-1)^3 ogf] A258841 6.52468 [(11856*f(x)-92422907)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2173*x^2-f(x)-4082*x+1927) ogf] A258841 7.06391 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1927,a(1)=1699,a(2)=1489} ogf] A258869 11.1865 [(x^15-x^5-x^2-x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A258886 3.74132 [(2472*x^10-4321*x^9-6524*x^8+14085*x^7+4728*x^6-16467*x^5+226*x^4+8075*x^3-980*x^2-1820*x-242)/(x+1)^3/(x-1)^5 ogf] A258890 3.57274 [(2916*x^10+883*x^9-11977*x^8-12889*x^7+28554*x^6+33043*x^5-43034*x^4-30871*x^3+33662*x^2+9722*x-10201)/(x+1)^3/(x-1)^5 ogf] A258891 3.53549 [(5404*x^10+6825*x^9-19844*x^8-59146*x^7+57626*x^6+136308*x^5-108182*x^4-122398*x^3+95754*x^2+38331*x-30870)/(x+1)^3/(x-1)^5 ogf] A258892 3.50035 [(9760*x^10+23035*x^9-17437*x^8-207141*x^7+87878*x^6+482695*x^5-256742*x^4-436011*x^3+270710*x^2+137310*x-94249)/(x+1)^3/(x-1)^5 ogf] A258902 18.1990 [x-1/2*x^2-1/3*x^3 revegf] A258902 9.45406 [36*x^2*f(x)^3+42*f(x)^3*x-19*f(x)^3+15*f(x)+4 egf] A258918 4.61315 [-(15115*f(x)-2203944)*(18*f(x)*x^3-6*f(x)*x^2+3*f(x)*x+1152*x^2-f(x)-24*x+200) ogf] A258918 5.07446 [{a(n+3)-3*a(n+2)+6*a(n+1)-18*a(n),a(0)=200,a(1)=576,a(2)=1680} ogf] A258918 8.95493 [-8*(144*x^2-3*x+25)/(3*x-1)/(6*x^2+1) ogf] A258935 10.3497 [(6*f(x)+1)*(2*f(x)*x-2*x^2-f(x)-3*x+4) ogf] A258935 11.9419 [-(4*x^2-4*x+5)/(-4*x^3-4*x^2+11*x-4) lgdogf] A258935 17.2494 [(2*x^2+3*x-4)/(2*x-1) ogf] A258935 9.24077 [{-a(n+3)+2*a(n+2),a(0)=4,a(1)=5,a(2)=8} ogf] A258958 6.03270 [2*(51*x^9+48*x^8+19*x^7+24*x^6+341*x^5-60*x^4-156*x^3-96*x^2-172*x-33)/(2*x^2-1)/(2*x^2+1) ogf] A258959 6.58195 [2*(x^8+3*x^7-11*x^5-11*x^4-2*x^3-87*x^2-112*x-33)/(x+1)/(3*x^2-1) ogf] A258960 3.80133 [(8*x^12+8*x^11-59*x^10-117*x^9+374*x^8-172*x^7-884*x^6+600*x^5+415*x^4-7*x^3+228*x^2-186*x-158)/(x-1)/(3*x^6-4*x^4-x^2+1) ogf] A258961 6.03837 [2*(4*x^9+12*x^8+3*x^7-12*x^6+51*x^5+70*x^4-268*x^3-225*x^2+137*x+107)/(x-1)/(x+1)/(2*x^2-1) ogf] A258962 5.03567 [(51*x^11+62*x^10-32*x^9+878*x^7+1026*x^6-1677*x^5-1794*x^4-155*x^3-176*x^2+467*x+462)/(x-1)/(x+1)/(2*x^2-1)/(2*x^2+1) ogf] A258963 5.94475 [2*(4*x^9+12*x^8+3*x^7-12*x^6+337*x^5+436*x^4-751*x^3-870*x^2+307*x+338)/(x-1)/(x+1)/(2*x^2-1) ogf] A258964 4.81693 [(51*x^11+62*x^10-32*x^9+2050*x^7+4170*x^6-3613*x^5-5442*x^4-448*x^3-962*x^2+951*x+1374)/(x-1)/(x+1)/(2*x^2-1)/(2*x^2+1) ogf] A258965 5.61371 [2*(4*x^9+12*x^8+3*x^7-12*x^6+629*x^5+1632*x^4-1511*x^3-2832*x^2+614*x+1020)/(x-1)/(x+1)/(2*x^2-1) ogf] A258973 10.0188 [1+1/2/x-1/2*x-1/2*(x^4-2*x^2+4*x+1)^(1/2)/x revogf] A258973 8.43684 [f(x)^2*x^2-f(x)^2*x+f(x)*x^2-2*f(x)*x+f(x)-1 ogf] A259022 18.9118 [x^8-x^4-x-1 ogf_with_Euler_transform] A259022 5.54014 [(x^4+x^3+x^2+x+1)*(x+1)*(x-1)^2/(x^2+x+1)/(x^6+x^3+1) ogf] A259031 2.87726 [-(128*x^3+12*x^2-11*x+3)/(4*x-1) ogf] A259042 13.0060 [-x*(x+1)*(x^2-x+1)/(x-1)/(x^4+1) ogf] A259042 16.4316 [x^7-x^5-x^3+x^2+1 ogf_with_Euler_transform] A259044 13.0903 [x*(x^6-x^4-x^3+x+1) ogf_with_Euler_transform] A259044 9.32016 [-x*(x^2-x+1)*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A259054 5.04809 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=19,a(1)=27,a(2)=43} ogf] A259054 7.6268 [-(3*f(x)-22)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+19*x^2-f(x)-30*x+19) ogf] A259054 8.17648 [-(-19*x^2+22*x-27)/(-19*x^3+49*x^2-49*x+19) lgdogf] A259054 9.07078 [-(19*x^2-30*x+19)/(x-1)^3 ogf] A259055 11.1961 [-(-2*x^2+22*x+34)/(-2*x^3+15*x^2-6*x-7) lgdogf] A259055 12.0990 [(2*x+1)*(x-7)/(x-1)^3 ogf] A259055 6.41147 [(308*f(x)-4511)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+13*x+7) ogf] A259055 6.58018 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=34,a(2)=79} ogf] A259057 19.1431 [-20/(8*x+1) lgdegf] A259057 6.16833 [{(8*n+28)*a(n+1)+a(n+2),a(0)=-1,a(1)=20} ogf] A259058 11.1961 [-2*(193*x^2-416*x+227)/(x-1)^3 ogf] A259058 6.04953 [(793*f(x)+948362)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+386*x^2-f(x)-832*x+454) ogf] A259058 6.35713 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=454,a(1)=530,a(2)=614} ogf] A259058 9.61719 [-(-193*x^2+446*x-265)/(-193*x^3+609*x^2-643*x+227) lgdogf] A259059 10.1882 [-(-193*x^2+446*x-265)/(-193*x^3+609*x^2-643*x+227) lgdogf] A259059 11.8609 [-(193*x^2-416*x+227)/(x-1)^3 ogf] A259059 6.40871 [(793*f(x)+474181)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+193*x^2-f(x)-416*x+227) ogf] A259059 6.73458 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=227,a(1)=265,a(2)=307} ogf] A259060 4.52615 [(45678*f(x)+493219711)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5168*x^3-4*f(x)*x-16570*x^2+f(x)+17804*x-6426) ogf] A259060 8.10730 [-2*(2584*x^3-8285*x^2+8902*x-3213)/(x-1)^4 ogf] A259076 10.443 [-80*f(x)*x+f(x)-1 ogf] A259076 14.6202 [80/(-80*x+1) lgdogf] A259076 19.9366 [-1/(80*x-1) ogf] A259076 8.27558 [{a(n+1)-80*a(n),a(0)=1} ogf] A259104 13.1023 [-(x^2-5*x+7)/(-x^2+3*x-2) lgdegf] A259104 3.23229 [{(n^2+5*n+6)*a(n+1)+(n^2+8*n+15)*a(n+2)+(-2*n^2-21*n-52)*a(n+3)+(2*n+8)*a(n+4),a(0)=4,a(1)=14,a(2)=60,a(3)=310} ogf] A259108 10.9893 [-(3*x^3+47*x^2+77*x+17)/(x^4+10*x^3-10*x-1) lgdogf] A259108 4.70096 [{(-4*n^2-25*n-39)*a(n+1)+(8*n^2+40*n+83)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=2,a(2)=34} ogf] A259108 8.29581 [2*x*(x+1)*(x^2+10*x+1)/(x-1)^6 ogf] A259109 5.42069 [2*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^8 ogf] A259110 13.4520 [2*x*(x^2+6*x+1)/(x-1)^4 ogf] A259110 15.0825 [-(2*x^2+20*x+10)/(x^3+5*x^2-5*x-1) lgdogf] A259110 5.23919 [{(n+3)*a(n+4)+5*n*a(n+3)+(-25-5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=2,a(2)=20,a(3)=70} ogf] A259110 7.01019 [-(200*f(x)+969)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-12*x^2+f(x)-2*x) ogf] A259131 10.5610 [{-a(n+2)+11*a(n+1)-a(n),a(0)=3,a(1)=36} ogf] A259131 13.2407 [-(x^2+2*x-12)/(x^3-10*x^2-10*x+1) lgdogf] A259131 19.2854 [3*(x+1)/(x^2-11*x+1) ogf] A259131 9.43754 [(17017*f(x)+11157)*(f(x)*x^2-11*f(x)*x+f(x)-3*x-3) ogf] A259156 6.85655 [-(x^3+594*x^2+99*x+6)/(x-1)/(x^2-98*x+1)/(x^2+98*x+1) ogf] A259157 4.07596 [(26839353763335984*f(x)-4232492437427)*(f(x)*x^3-1155*f(x)*x^2+1155*f(x)*x-f(x)+105*x+3) ogf] A259157 4.46109 [{a(n+3)-1155*a(n+2)+1155*a(n+1)-a(n),a(0)=3,a(1)=3570,a(2)=4119885} ogf] A259157 9.28785 [-3*(35*x+1)/(x-1)/(x^2-1154*x+1) ogf] A259160 4.51912 [{a(n+3)-9603*a(n+2)+9603*a(n+1)-a(n),a(0)=4,a(1)=39204,a(2)=376437604} ogf] A259160 8.51429 [-4*(x^2+198*x+1)/(x-1)/(x^2-9602*x+1) ogf] A259161 3.96949 [(1683286840880489603920*f(x)-18074679689939699)*(f(x)*x^3-9603*f(x)*x^2+9603*f(x)*x-f(x)+495*x+5) ogf] A259161 4.51912 [{a(n+3)-9603*a(n+2)+9603*a(n+1)-a(n),a(0)=5,a(1)=48510,a(2)=465793515} ogf] A259161 9.63092 [-5*(99*x+1)/(x-1)/(x^2-9602*x+1) ogf] A259162 4.51912 [{a(n+3)-9603*a(n+2)+9603*a(n+1)-a(n),a(0)=6,a(1)=58311,a(2)=559902916} ogf] A259162 8.51429 [-(x^2+693*x+6)/(x-1)/(x^2-9602*x+1) ogf] A259163 4.94840 [-9*(2*x^4+19*x^3+33170*x^2+19*x+2)/(x-1)/(x^2-1442*x+1)/(x^2+1442*x+1) ogf] A259167 4.51912 [{a(n+3)-9603*a(n+2)+9603*a(n+1)-a(n),a(0)=8,a(1)=78408,a(2)=752875208} ogf] A259167 8.39266 [-8*(x^2+198*x+1)/(x-1)/(x^2-9602*x+1) ogf] A259181 17.8575 [-(5*x+9)/(x^2-1) lgdogf] A259181 37.1108 [[9-2*x] ogf_with_Euler_transform] A259181 5.90776 [{(n+2)*a(n+3)-9*a(n+2)+(-5-n)*a(n+1),a(0)=0,a(1)=1,a(2)=9} ogf] A259181 7.77952 [-x*(x+1)^2/(x-1)^7 ogf] A259206 10.9143 [f(x)^2*x^3-f(x)^2*x+x^2+f(x)-1 ogf] A259207 7.15147 [-(47*x^10+104*x^9+208*x^8+416*x^7+83*x^6+166*x^5+33*x^4+66*x^3+13*x^2+26*x+5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A259215 11.8219 [-(8*x^2+8*x-7)/(2*x-1)/(x^2+x-1) ogf] A259215 6.27076 [(193*f(x)-604)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+8*x^2+f(x)+8*x-7) ogf] A259215 6.32577 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=7,a(1)=13,a(2)=24} ogf] A259216 11.4288 [-(16*x^2+16*x-13)/(2*x-1)/(x^2+x-1) ogf] A259216 6.14655 [(201*f(x)-2140)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+16*x^2+f(x)+16*x-13) ogf] A259216 6.36035 [{-a(n+3)+3*a(n+2)-a(n+1)-2*a(n),a(0)=13,a(1)=23,a(2)=40} ogf] A259217 4.95508 [-(137*f(x)+4408)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+32*x^3+4*f(x)*x+2*x^2-f(x)-56*x+24) ogf] A259217 9.22885 [-2*(16*x^3+x^2-28*x+12)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259218 5.04586 [(178*f(x)-23801)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+64*x^3+4*f(x)*x+8*x^2-f(x)-109*x+45) ogf] A259218 9.15731 [-(64*x^3+8*x^2-109*x+45)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259219 4.67665 [(3034*f(x)-1388913)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+128*x^3+4*f(x)*x+24*x^2-f(x)-213*x+85) ogf] A259219 8.56447 [-(128*x^3+24*x^2-213*x+85)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259220 4.53493 [-(14671*f(x)-11170406)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+256*x^3+4*f(x)*x+62*x^2-f(x)-418*x+162) ogf] A259220 8.58398 [-2*(128*x^3+31*x^2-209*x+81)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259221 4.59162 [(3769141*f(x)-4764517944)*(2*f(x)*x^4-f(x)*x^3-4*f(x)*x^2+512*x^3+4*f(x)*x+148*x^2-f(x)-823*x+311) ogf] A259221 8.64305 [-(512*x^3+148*x^2-823*x+311)/(2*x-1)/(x-1)/(x^2+x-1) ogf] A259243 10.2416 [-(-12*x^2-18*x-7)/(-12*x^3-13*x^2+x+3) lgdogf] A259243 15.1398 [-3*(4*x+3)/(3*x^2+x-1) ogf] A259243 7.91399 [(25*f(x)-78)*(3*f(x)*x^2+f(x)*x-f(x)+12*x+9) ogf] A259243 8.39072 [{a(n+2)-a(n+1)-3*a(n),a(0)=9,a(1)=21} ogf] A259244 4.21663 [(730447*f(x)-59129898)*(3*f(x)*x^4+11*f(x)*x^3-4*f(x)*x^2+24*x^3-3*f(x)*x+87*x^2+f(x)-2*x-21) ogf] A259244 7.96474 [-(24*x^3+87*x^2-2*x-21)/(3*x-1)/(x^3+4*x^2-1) ogf] A259245 3.9934 [-(253739*f(x)-7386800)*(30*f(x)*x^4+11*f(x)*x^3-12*f(x)*x^2+400*x^3-2*f(x)*x+240*x^2+f(x)-96*x-48) ogf] A259245 7.47600 [-16*(25*x^3+15*x^2-6*x-3)/(30*x^4+11*x^3-12*x^2-2*x+1) ogf] A259278 12.5912 [-(7*x^6+6*x^5+1)/(x^7+x^6+x-1) lgdogf] A259278 20.8829 [-1/(x^7+x^6+x-1) ogf] A259290 13.9336 [-2*(8*x+5)/(4*x^2+x-1) ogf] A259290 7.27642 [(53*f(x)-192)*(4*f(x)*x^2+f(x)*x-f(x)+16*x+10) ogf] A259290 7.79617 [{a(n+2)-a(n+1)-4*a(n),a(0)=10,a(1)=26} ogf] A259290 9.49099 [-(-32*x^2-40*x-13)/(-32*x^3-28*x^2+3*x+5) lgdogf] A259291 10.1903 [-2*(32*x^2-8*x-13)/(8*x^3-4*x^2-3*x+1) ogf] A259291 5.1353 [-(13835*f(x)+219232)*(8*f(x)*x^3-4*f(x)*x^2-3*f(x)*x+64*x^2+f(x)-16*x-26) ogf] A259291 5.62226 [{a(n+3)-3*a(n+2)-4*a(n+1)+8*a(n),a(0)=26,a(1)=94,a(2)=322} ogf] A259292 4.66002 [-2*(512*x^5+280*x^4-494*x^3-186*x^2+95*x+33)/(2*x+1)/(32*x^5-4*x^4-33*x^3+10*x^2+4*x-1) ogf] A259317 4.28016 [{(-2*n^2-13*n-21)*a(n+1)+(4*n^2+20*n+51)*a(n+2)+(-2*n^2-7*n-6)*a(n+3),a(0)=0,a(1)=2,a(2)=70} ogf] A259317 6.29644 [-2*x*(x^4+28*x^3+70*x^2+28*x+1)/(x-1)^7 ogf] A259317 7.12027 [-(-3*x^4-116*x^3-434*x^2-308*x-35)/(-x^5-27*x^4-42*x^3+42*x^2+27*x+1) lgdogf] A259318 3.62763 [-144*x^2*(x^6+31*x^5+187*x^4+330*x^3+187*x^2+31*x+1)/(x-1)^11 ogf] A259318 3.73701 [{(2*n^3+21*n^2+73*n+84)*a(n+1)+(28*n^2+140*n+252)*a(n+2)+(-2*n^3-9*n^2-13*n-6)*a(n+3),a(0)=0,a(1)=0,a(2)=144} ogf] A259319 7.26620 [-(-2*x^4-232*x^3-1148*x^2-840*x-82)/(-x^5-75*x^4-154*x^3+154*x^2+75*x+1) lgdogf] A259319 7.26620 [2*(x^4+76*x^3+230*x^2+76*x+1)/(x-1)^6 ogf] A259320 10.1072 [-(4*x^3+38*x^2+56*x+14)/(x^4+6*x^3-6*x-1) lgdogf] A259320 4.14231 [{(-2*n^2-15*n-28)*a(n+1)+(4*n^2+24*n+62)*a(n+2)+(-2*n^2-9*n-10)*a(n+3),a(0)=0,a(1)=256,a(2)=3584} ogf] A259320 6.37011 [-256*x*(x+1)*(x^2+6*x+1)/(x-1)^7 ogf] A259321 3.29530 [{(-4*n^3-48*n^2-191*n-252)*a(n+1)+(-56*n^2-336*n-658)*a(n+2)+(4*n^3+24*n^2+47*n+30)*a(n+3),a(0)=0,a(1)=2304,a(2)=290304} ogf] A259322 4.37747 [(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^8 ogf] A259323 5.45105 [2*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^8 ogf] A259348 3.73160 [{(4327*n^2+25469*n+33630)*a(n+1)+(-9944*n^2-50320*n-54648)*a(n+2)+(5617*n^2+20981*n+12390)*a(n+3),a(0)=-8,a(1)=-7,a(2)=0} ogf] A259348 5.37559 [(564*f(x)-761)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x+20*x^2+f(x)-25*x+8) ogf] A259348 9.04364 [-(-9*x^3+13*x^2-35*x+7)/(-9*x^4+29*x^3-45*x^2+33*x-8) lgdogf] A259348 9.73049 [(9*x^3-20*x^2+25*x-8)/(x-1)^4 ogf] A259357 15.3800 [-(-x^4+x^3+1)/(x^5-1) ogf_with_Euler_transform] A259358 15.0985 [-(-x^4+x^2+x)/(x^5-1) ogf_with_Euler_transform] A259402 4.93592 [-7*(1968*x^4+1813*x^3-195857*x^2+35*x+41)/(x-1)/(x^2-254*x+1)/(x^2+254*x+1) ogf] A259403 5.86700 [-11*(16*x^4+14*x^3-5507*x^2+2254*x+262)/(x-1)/(x^2+20*x+1)/(x^2-20*x+1) ogf] A259413 4.97996 [-11*(6*x^8-x^7+x^5-2199*x^4+559*x^3+315*x^2+161*x+195)/(x-1)/(x^4+20*x^2+1)/(x^4-20*x^2+1) ogf] A259421 4.84817 [-(8*x^5+49*x^4-41*x^3-178*x^2-15*x+43)/(x^6+6*x^5-6*x^4-22*x^3+2*x^2+6*x-1) ogf] A259451 10.9139 [-x*(x^4-x^3+6*x^2+x+1)/(x^2+x-1)^3 ogf] A259451 9.52291 [-(2*x^5-4*x^4+28*x^3+8*x^2+20*x+4)/(x^6+4*x^4+8*x^3-4*x^2-1) lgdogf] A259455 4.37297 [{(-8*n^2-80*n-192)*a(n+1)+(9*n^2+37*n+68)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=30,a(2)=270} ogf] A259455 6.80240 [(24*x^3+58*x^2+22*x+1)/(x-1)^8 ogf] A259455 8.74594 [-(120*x^3+420*x^2+270*x+30)/(24*x^4+34*x^3-36*x^2-21*x-1) lgdogf] A259457 3.76574 [{(-2*n^2-20*n-50)*a(n+1)+(-3*n^2-37*n-128)*a(n+2)+(3*n+9)*a(n+3),a(0)=3,a(1)=66,a(2)=1050} ogf] A259457 5.03056 [3/2*(x^4+20*x^3+54*x^2+28*x+2)/(x-1)^8 egf] A259457 6.15892 [-(-4*x^4-104*x^3-384*x^2-304*x-44)/(-x^5-19*x^4-34*x^3+26*x^2+26*x+2) lgdegf] A259459 4.25863 [{(n^3+13*n^2+56*n+80)*a(n+1)+(-2*n-4)*a(n+2),a(0)=1,a(1)=18} ogf] A259462 4.78356 [{(-n^4-19*n^3-134*n^2-416*n-480)*a(n+1)+(6*n+12)*a(n+2),a(0)=1,a(1)=30} ogf] A259474 4.31624 [[-x^2+6] ogf_with_Euler_transform] A259486 8.80619 [-(x^4+11*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x-1)^3 ogf] A259491 7.55786 [-(-8*x^7-4*x^6-6*x^5-4*x^4-12*x^3-4*x^2-6*x-4)/(x^8-1) ogf_with_Euler_transform] A259491 99.9999 Evaluated at exp(-Pi) -1/64/Pi^2/GAMMA(7/8)^8*GAMMA(5/8)^8*(17+12*2^(1/2))/(2^(1/2)-2) A259508 10.4354 [-(8*x^2-9*x-11)/(2*x^3-3*x^2-2*x+1) ogf] A259508 5.39162 [-(181*f(x)+492)*(2*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+8*x^2+f(x)-9*x-11) ogf] A259508 5.62604 [{-a(n+3)+2*a(n+2)+3*a(n+1)-2*a(n),a(0)=11,a(1)=31,a(2)=87} ogf] A259509 3.70638 [(117207020*f(x)-1176527179)*(18*f(x)*x^4+4*f(x)*x^3-11*f(x)*x^2+142*x^3-2*f(x)*x+66*x^2+f(x)-67*x-31) ogf] A259509 7.10388 [-(142*x^3+66*x^2-67*x-31)/(2*x^2-1)/(9*x^2+2*x-1) ogf] A259517 10.4422 [-2*(x+2)*(4*x-3)/(2*x^3+2*x^2-4*x+1) ogf] A259517 5.67117 [{-a(n+3)+4*a(n+2)-2*a(n+1)-2*a(n),a(0)=12,a(1)=38,a(2)=120} ogf] A259517 5.7205 [(17*f(x)-64)*(2*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+8*x^2+f(x)+10*x-12) ogf] A259518 5.50610 [-2*(8*x^4+41*x^3-34*x^2-29*x+19)/(2*x^5+10*x^4-10*x^3-7*x^2+7*x-1) ogf] A259529 7.92772 [-(x^11-x^10+x^8-x^7-x^6-x^4-x^3+x^2-1)/(-x^12+1) ogf_with_Euler_transform] A259529 99.9999 Evaluated at exp(-Pi) -1/3*exp(5/8*Pi)*Pi^(5/4)*2^(1/4)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^3 A259538 6.74040 [-(-x^11-2*x^10-x^8-2*x^7-2*x^6-2*x^4-2*x^3-x^2-2)/(x^12-1) ogf_with_Euler_transform] A259538 99.9999 Evaluated at exp(-Pi) 1/4*exp(-1/8*Pi)/Pi^(1/4)*2^(1/4)*3^(1/2)*GAMMA(2/3)*(1+3^(1/2))/GAMMA(11/12) A259546 5.78983 [x*(x^4-4*x^3+23*x^2+4*x+1)*(x^2+1)/(x^2+x-1)^4 ogf] A259547 4.15160 [-x*(x^8-11*x^7+87*x^6-48*x^5+240*x^4+48*x^3+87*x^2+11*x+1)/(x^2+x-1)^5 ogf] A259552 7.69898 [-(41*x^4-162*x^3+248*x^2-162*x+41)/(x-1)^5 ogf] A259554 3.6125 [-4*f(x)^3*x^4+71*f(x)^3*x^3-8*x^2*f(x)^3-4*f(x)^2*x^3+71*f(x)^2*x^2-8*f(x)^2*x-f(x)*x^2+22*f(x)*x-2*f(x)+2 ogf] A259555 11.7226 [-(-17*x^2+26*x-21)/(-17*x^3+47*x^2-47*x+17) lgdogf] A259555 13.0048 [-(17*x^2-30*x+17)/(x-1)^3 ogf] A259555 7.17507 [(3*f(x)-286)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+17*x^2-f(x)-30*x+17) ogf] A259555 7.23746 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=17,a(1)=21,a(2)=29} ogf] A259557 4.94405 [{(-32*n^2-32*n-6)*a(n)+(2*n^2+3*n+1)*a(n+1),a(0)=1,a(1)=3} ogf] A259561 6.96307 [x*(11*x^9-15*x^8-36*x^7+6*x^6-15*x^5+x^4-3*x^3-2*x^2-x+1)/(x^2-3*x+1) ogf] A259592 14.0966 [-(x+1)*(x^2-x-1)/(x^4-4*x^2+1) ogf] A259592 7.17419 [-(-x^6+2*x^4+4*x^3-5*x^2-8*x-2)/(-x^7+6*x^5+x^4-9*x^3-4*x^2+2*x+1) lgdogf] A259592 8.19907 [-(28*f(x)+9)*(f(x)*x^4-4*f(x)*x^2+x^3+f(x)-2*x-1) ogf] A259593 13.7342 [-(x^2-3*x-2)/(x^4-4*x^2+1) ogf] A259593 8.24055 [(28*f(x)+41)*(f(x)*x^4-4*f(x)*x^2+x^2+f(x)-3*x-2) ogf] A259594 11.1359 [-(x+1)*(x^2-2*x-1)/(x^4-10*x^2+1) ogf] A259594 6.68156 [-(1504*f(x)+37)*(f(x)*x^4-10*f(x)*x^2+x^3-x^2+f(x)-3*x-1) ogf] A259595 11.2858 [(x^3-3*x^2+7*x+3)/(x^4-10*x^2+1) ogf] A259595 7.02697 [(564*f(x)+325)*(f(x)*x^4-10*f(x)*x^2-x^3+3*x^2+f(x)-7*x-3) ogf] A259596 8.61999 [-(x+1)*(x^2-x-1)*(x^4+3*x^2+1)/(x^8-16*x^4+1) ogf] A259597 7.87598 [(x^7-x^6+2*x^5-3*x^4+13*x^3+8*x^2+5*x+3)/(x^8-16*x^4+1) ogf] A259599 5.35971 [-(x^15+x^14+x^12+x^11+x^10+x^8+x^6+x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A259614 13.2343 [(7*x^2+12*x+17)/(x+1)/(x-1)^2 ogf] A259614 6.77855 [-(180*f(x)+79253)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-12*x-17) ogf] A259614 7.25010 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=17,a(1)=29,a(2)=53} ogf] A259614 9.58346 [-(-7*x^3-31*x^2-77*x-29)/(-7*x^4-12*x^3-10*x^2+12*x+17) lgdogf] A259623 9.18294 [-(x^7+x^6+2*x^5+x^4-x^2-2*x-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A259624 4.80411 [-x*(x+1)*(x^4+x^2+x+1)*(x^5+x^4+x^3+2*x^2+x+1)/(x^2+x+1)/(x^6+x^3-1) ogf] A259625 9.70666 [-x*(x^7+x^6+x^5-x^2-2*x-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A259626 8.54596 [-(x^8+x^7+x^6+x^5+x^4-x^2-2*x-1)/(x-1)/(x+1)/(x^4+x^2-1) ogf] A259627 5.09574 [-x*(x+1)*(x^2+1)*(2*x^6+2*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x^2+x+1)/(x^6+x^3-1) ogf] A259635 4.93646 [(6141988*f(x)-23897425)*(f(x)*x^4+3*f(x)*x^3-2*x^4+10*x^3+f(x)*x+40*x^2-f(x)+11*x+18) ogf] A259635 8.77594 [(2*x^4-10*x^3-40*x^2-11*x-18)/(x^4+3*x^3+x-1) ogf] A259636 5.65384 [(5*x^6-46*x^5-72*x^4-15*x^3+78*x^2+35*x+29)/(3*x^6+3*x^5-x^4-5*x^3-x^2-x+1) ogf] A259637 3.54076 [(12*x^9-144*x^8+104*x^7+137*x^6+427*x^5+201*x^4-41*x^3-341*x^2-102*x-69)/(4*x^9-4*x^8-5*x^7-12*x^6-2*x^5+4*x^4+10*x^3+x^2+x-1) ogf] A259655 10.3543 [-(3*x^3+2*x^2+3*x+1)/(-x^4-x^3-2*x^2-x-1) ogf_with_Euler_transform] A259657 6.31347 [-(3*x^11+2*x^8+3*x^7+x^5+3*x^3+2*x^2)/(-x^12+1) ogf_with_Euler_transform] A259658 4.61179 [-x*(18144*x^12+12800*x^11-13708*x^10-11200*x^9-2870*x^8-1068*x^7-1302*x^6-434*x^5-240*x^4-32*x^3-8*x^2-2*x-1)/(x-1)/(x+1)/(2*x^2-1) ogf] A259659 6.24022 [-(-3*x^8-3*x^7-3*x^6+x^5-2*x^2-3*x-3)/(x^9-x^6+x^3-1) ogf_with_Euler_transform] A259660 7.13384 [-(-2*x^5-2*x^4+x^2)/(x^6+x^5-x^3+x+1) ogf_with_Euler_transform] A259661 14.2450 [1/(x-1)/(10*x-1)/(x^2+1) ogf] A259661 5.4109 [(10001*f(x)+24000)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x+f(x)-1) ogf] A259661 7.93188 [-(40*x^3-33*x^2+22*x-11)/(10*x^4-11*x^3+11*x^2-11*x+1) lgdogf] A259664 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/2*Pi)*3^(1/2)*GAMMA(11/12)^4*GAMMA(7/12)^3*(3^(1/2)-1)/GAMMA(2/3)/GAMMA(3/4)^5 A259709 8.36925 [-x*(2*x^2+4*x-1)/(x^2+2*x-1)/(x^2+x-1)^2 ogf] A259711 15.4960 [-5040*(2*x-3)/(x-1)^2 ogf] A259711 17.1101 [-(-2*x+4)/(-2*x^2+5*x-3) lgdogf] A259711 9.12540 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15120,a(1)=20160} ogf] A259713 12.0259 [-(-14*x^2-4*x-8)/(-14*x^3-9*x^2+6*x+1) lgdogf] A259713 17.6380 [-(7*x+1)/(2*x-1)/(x+1) ogf] A259713 9.33773 [(f(x)-2)*(2*f(x)*x^2+f(x)*x-f(x)+7*x+1) ogf] A259713 9.67937 [{a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=8} ogf] A259714 9.97064 [(x-1)*(x^4+x^3+x^2+x+1)/(x+1)/(x^4+3*x^3+2*x-1) ogf] A259716 5.405 [(113736517304*f(x)-517589474565)*(3*f(x)*x^4+4*f(x)*x^3+114*x^3+140*x^2-f(x)+54*x+32) ogf] A259716 9.82037 [-2*(57*x^3+70*x^2+27*x+16)/(3*x^4+4*x^3-1) ogf] A259717 3.87663 [-(156*x^9+152*x^8-81*x^7-286*x^6-477*x^5-363*x^4+27*x^3+174*x^2+95*x+54)/(3*x^10+2*x^9-3*x^8-5*x^7-8*x^6-4*x^5+4*x^4+5*x^3+x^2-1) ogf] A259735 7.15644 [(2*x^6-24*x^5+x^4-40*x^3-22*x^2-22*x-20)/(2*x^6+3*x^4+x^2-1) ogf] A259736 5.21364 [(21860143*f(x)-98699759)*(f(x)*x^4+2*f(x)*x^3+18*x^3+f(x)*x+38*x^2-f(x)+14*x+22) ogf] A259736 9.78452 [-2*(9*x^3+19*x^2+7*x+11)/(x^4+2*x^3+x-1) ogf] A259737 4.27258 [-2*(12*x^10+52*x^9-8*x^8-74*x^7+9*x^6+50*x^5+17*x^4+113*x^3+53*x^2+37*x+21)/(4*x^10-6*x^8+4*x^6+9*x^4+2*x^2-1) ogf] A259738 3.56676 [-2*(3*x^10+16*x^9-30*x^8-76*x^7+27*x^6+106*x^5+80*x^4+123*x^3+119*x^2+37*x+31)/(x^10-x^9-4*x^8+x^7+5*x^6+3*x^5+5*x^4+4*x^3+x-1) ogf] A259743 9.31232 [-(-4*x^4+x^3-3)/(x^5-x^4+x-1) ogf_with_Euler_transform] A259743 99.9999 Evaluated at exp(-Pi) 1/64*exp(5/8*Pi)/Pi*2^(7/8)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))*(2-2^(1/2))^(1/2) A259749 4.86050 [(x^2+1)*(x^7+3*x^6-2*x^5+2*x^4-x^3+2*x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A259750 10.0226 [-(-x^3-9*x^2-27*x-11)/(-x^4-4*x^3-6*x^2+4*x+7) lgdogf] A259750 13.2556 [2*(x^2+4*x+7)/(x+1)/(x-1)^2 ogf] A259750 6.96483 [-(2*f(x)+395)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-8*x-14) ogf] A259750 7.14652 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=14,a(1)=22,a(2)=38} ogf] A259751 11.3594 [-(x^3+3*x^2+6*x+2)/(x^4+x^3-x-1) lgdogf] A259751 13.4079 [8*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A259751 32.5582 [-x^2+x+2 ogf_with_Euler_transform] A259751 7.17439 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=8,a(1)=16,a(2)=32} ogf] A259751 7.23788 [(5*f(x)+344)*(f(x)*x^3-f(x)*x^2-f(x)*x-8*x^2+f(x)-8*x-8) ogf] A259752 17.2837 [-(-3*x-5)/(-3*x^2+2*x+1) lgdogf] A259752 18.0351 [6*(3*x+1)/(x-1)^2 ogf] A259752 9.53581 [(4*f(x)+51)*(f(x)*x^2-2*f(x)*x+f(x)-18*x-6) ogf] A259752 9.99537 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6,a(1)=30} ogf] A259754 9.66084 [3*(x+1)*(x^4+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A259755 11.3594 [-(-x^3-9*x^2-9*x-5)/(-x^4-4*x^3+4*x+1) lgdogf] A259755 13.1916 [4*(x^2+4*x+1)/(x+1)/(x-1)^2 ogf] A259755 7.17439 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=20,a(2)=28} ogf] A259755 7.23788 [(2*f(x)+19)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-16*x-4) ogf] A259765 4.55576 [(6*x^8-29*x^7+26*x^6-22*x^5-18*x^4+88*x^3+72*x^2+49*x+32)/(x^8-2*x^7+x^6-2*x^5-6*x^4-2*x^3-x^2+1) ogf] A259790 4.96214 [-(-4*x^6+x^5-2*x^4-x^3-5*x^2+2*x-3)/(x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A259790 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/8*Pi)*2^(7/8)*GAMMA(5/8)^4*(3+2*2^(1/2))*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A259821 11.0276 [(3*x^2-11*x+4)/(3*x-1)/(x-1) ogf] A259821 5.78149 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=4,a(1)=5,a(2)=11} ogf] A259821 6.01507 [-(2*f(x)+17)*(3*f(x)*x^2-4*f(x)*x-3*x^2+f(x)+11*x-4) ogf] A259821 7.73368 [-(21*x^2-18*x+5)/(-9*x^4+45*x^3-59*x^2+27*x-4) lgdogf] A259834 4.70596 [{(2*n^2-3*n+1)*a(n)+(2*n^2-3*n-1)*a(n+1)+(-2*n+3)*a(n+2),a(0)=0,a(1)=0,a(2)=1} ogf] A259845 11.4809 [f(x)^2*x-2*f(x)*x^2-f(x)+2*x+1 ogf] A259845 9.39348 [-1/4*(-1+(8*x^3-16*x^2+8*x+1)^(1/2))/(x-1) revogf] A259860 11.4267 [(x+1)/(x^4-4*x^3+8*x^2-4*x+1) ogf] A259860 5.28053 [-(24480*f(x)-8099)*(f(x)*x^4-4*f(x)*x^3+8*f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A259860 7.18589 [-(-3*x^4+4*x^3+4*x^2-16*x+5)/(-x^5+3*x^4-4*x^3-4*x^2+3*x-1) lgdogf] A259861 5.0552 [-(2720*f(x)+667)*(f(x)*x^4-4*f(x)*x^3+8*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+6*x-2) ogf] A259861 9.58519 [-(x^3-3*x^2+6*x-2)/(x^4-4*x^3+8*x^2-4*x+1) ogf] A259877 8.84341 [-(x^6+12*x^4+6*x^3+27*x^2+18*x+6)/(-x^5-7*x^3-6*x^2-6*x-6) lgdegf] A259884 8.75454 [-(3*x^4+3*x^3+5*x^2+4*x+3)/(-x^5-2*x^4-3*x^3-3*x^2-2*x-1) ogf_with_Euler_transform] A259887 4.47292 [(781235413459082*f(x)-2638454064647271)*(3*f(x)*x^4+5*f(x)*x^3+114*x^3+f(x)*x+148*x^2-f(x)+33*x+34) ogf] A259887 9.18441 [-(114*x^3+148*x^2+33*x+34)/(3*x^4+5*x^3+x-1) ogf] A259888 4.25777 [-(156*x^7-125*x^6-179*x^5-316*x^4-321*x^3+332*x^2-27*x+67)/(3*x^8-2*x^7-5*x^6-5*x^5-8*x^4+11*x^3-3*x^2+3*x-1) ogf] A259895 8.45681 [-(-2*x^4-x^2-x)/(x^5+x^3+x^2+1) ogf_with_Euler_transform] A259896 8.90871 [-(-2*x^6-x^5-1)/(x^7+x^6+x+1) ogf_with_Euler_transform] A259900 4.28224 [{(-n^2-3*n)*a(n+1)+(2*n^2+11*n+16)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A259902 4.15359 [{(-n^2-3*n)*a(n+1)+(2*n^2+11*n+13)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A259904 4.16387 [{(n+3)*a(n+1)+(2*n^2+10*n+11)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=3} ogf] A259906 4.25808 [{(-3-n)*a(n+1)+(-2*n^2-10*n-13)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=5} ogf] A259907 8.21756 [-(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^3 ogf] A259910 12.5719 [-(x^4-2*x^3+x^2+x-2)/(-x^5+1) ogf_with_Euler_transform] A259920 10.2084 [-(-x^9+x^8+x^5-2*x^4+x^3+1)/(x^10-1) ogf_with_Euler_transform] A259945 4.62303 [(6*x^8-23*x^7+14*x^6-13*x^5-44*x^4+81*x^3+62*x^2+26*x+34)/(x+1)/(x^7-2*x^6+3*x^5-3*x^4-3*x^3+x^2-2*x+1) ogf] A259946 3.71670 [(12*x^9-144*x^8+90*x^7-34*x^6+66*x^5+514*x^4-9*x^3-89*x^2-50*x-60)/(4*x^7+6*x^5+2*x^4-6*x^3+2*x^2-3*x+1)/(x^2-x-1) ogf] A259955 5.21842 [(4*x^7-16*x^6-72*x^5-84*x^4-96*x^3-88*x^2-33*x-34)/(2*x^7+6*x^6+6*x^5+5*x^4+3*x^3+x-1) ogf] A259956 4.08896 [(7*x^8-5*x^7-28*x^6-68*x^5-49*x^4+54*x^3+159*x^2+79*x+67)/(x^8+2*x^7+2*x^6-x^5-5*x^4-6*x^3-2*x^2-x+1) ogf] A259966 9.45305 [-x^2*(x-2)/(x^3-x^2+2*x-1)^2 ogf] A259966 9.79889 [-(-5*x^3+15*x^2-10*x+7)/(-x^4+3*x^3-4*x^2+5*x-2) lgdogf] A259967 13.1414 [-(x-1)*(x-3)/(x^3-x^2+2*x-1) ogf] A259967 6.85149 [-(23*f(x)-75)*(f(x)*x^3-f(x)*x^2+2*f(x)*x+x^2-f(x)-4*x+3) ogf] A259967 7.15736 [{-a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=2,a(2)=2} ogf] A259967 8.09721 [-(x^4-8*x^3+11*x^2-4*x+2)/(x^5-5*x^4+9*x^3-12*x^2+10*x-3) lgdogf] A259968 13.1414 [-(2*x^2-x+1)/(x^3-x^2+2*x-1) ogf] A259968 7.15736 [{a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A259968 9.00701 [-f(x)*x^3+f(x)*x^2-2*f(x)*x-2*x^2+f(x)+x-1 ogf] A259968 9.10936 [-(-2*x^4+2*x^3-2*x-1)/(-2*x^5+3*x^4-6*x^3+5*x^2-3*x+1) lgdogf] A259969 7.42215 [x*(x^4-6*x^3+7*x^2-2*x+1)/(x^3-x^2+2*x-1)^2 ogf] A259994 5.45732 [-(159*x^6+62*x^5+244*x^4-117*x^3-185*x^2-51*x-48)/(x-1)/(5*x^6+5*x^5+12*x^4+5*x^3-1) ogf] A260006 10.3020 [x*(2*x^2-6*x+3)/(2*x-1)^2/(x-1)^2 ogf] A260006 5.55861 [-(f(x)-1)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-2*x^3-6*f(x)*x+6*x^2+f(x)-3*x) ogf] A260006 8.98428 [-(8*x^3-36*x^2+38*x-12)/(4*x^4-18*x^3+26*x^2-15*x+3) lgdogf] A260008 4.04334 [(10*x^9-25*x^8+18*x^7+12*x^6-31*x^5+34*x^4-111*x^3-37*x^2-49*x-36)/(x^9-x^8+x^7+2*x^6+x^5+7*x^4+2*x^2-1) ogf] A260009 4.56678 [(x^9-33*x^8+20*x^7+9*x^6+27*x^5+169*x^4-25*x^3-56*x^2-49)/(x^3-x^2-2*x+1)/(x^6+2*x^4-x^2-1) ogf] A260023 10.8704 [{-a(n+5)+a(n+4),a(0)=77,a(1)=49,a(2)=36,a(3)=18,a(4)=8} ogf] A260023 11.4857 [(29575*f(x)+1784092)*(-10*x^4-18*x^3+f(x)*x-13*x^2-f(x)-28*x+77) ogf] A260023 11.5950 [-(-30*x^4+4*x^3+41*x^2+26*x-49)/(10*x^5+8*x^4-5*x^3+15*x^2-105*x+77) lgdogf] A260023 18.4467 [(10*x^4+18*x^3+13*x^2+28*x-77)/(x-1) ogf] A260033 11.9325 [-(x^2-4*x+1)/(x^3-7*x^2+11*x-1) ogf] A260033 6.37775 [(919*f(x)+386)*(f(x)*x^3-7*f(x)*x^2+11*f(x)*x+x^2-f(x)-4*x+1) ogf] A260033 6.48963 [{-a(n+3)+11*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=71} ogf] A260033 7.25312 [-(-x^4+8*x^3-20*x^2+12*x-7)/(-x^5+11*x^4-40*x^3+52*x^2-15*x+1) lgdogf] A260063 6.05236 [-(64*x^5+205*x^4-109*x^3-165*x^2-43*x-48)/(2*x^6+5*x^5-5*x^4-4*x^3-x+1) ogf] A260089 5.73720 [-(-2*x^6-x^5-2*x^4-2*x^3-2*x^2-2*x-1)/(x^7+x^6+2*x^5+2*x^4+2*x^3+2*x^2+x+1) ogf_with_Euler_transform] A260099 3.78239 [(20*x^9-112*x^8+172*x^7-20*x^6+4*x^5-6*x^4-206*x^3-110*x^2-85*x-48)/(2*x^9-8*x^8+6*x^7+2*x^6+6*x^5+11*x^4+2*x^3+2*x^2-1) ogf] A260113 3.79874 [-(x^8-2*x^5-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A260118 5.24976 [-(-2*x^7+x^6+x^5-2*x^4+x-1)/(x^8-x^7+x^5-x^3+x-1) ogf_with_Euler_transform] A260131 4.84049 [(3070994*f(x)-23897425)*(f(x)*x^4+3*f(x)*x^3-4*x^4+20*x^3+f(x)*x+80*x^2-f(x)+22*x+36) ogf] A260131 8.60532 [2*(2*x^4-10*x^3-40*x^2-11*x-18)/(x^4+3*x^3+x-1) ogf] A260132 5.32674 [2*(5*x^6-46*x^5-72*x^4-15*x^3+78*x^2+35*x+29)/(3*x^6+3*x^5-x^4-5*x^3-x^2-x+1) ogf] A260133 3.35582 [2*(12*x^9-144*x^8+104*x^7+137*x^6+427*x^5+201*x^4-41*x^3-341*x^2-102*x-69)/(4*x^9-4*x^8-5*x^7-12*x^6-2*x^5+4*x^4+10*x^3+x^2+x-1) ogf] A260145 99.9999 Evaluated at exp(-Pi) -1/16*exp(Pi)*(2^(1/2)-2) A260158 99.9999 Evaluated at exp(-Pi) 1/24*exp(5/6*Pi)*3^(1/4)*Pi^(3/2)/GAMMA(2/3)/GAMMA(3/4)^3*2^(1/2)*(3^(1/2)-1)/GAMMA(7/12) A260160 11.7230 [-(-8*x^5-2*x^3-2*x)/(-x^6+1) lgdogf] A260160 14.5886 [x^4/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A260160 26.1916 [[x^5+x] ogf_with_Euler_transform] A260162 5.04624 [-(2*x^10+x^9+x^8+x^7+2*x^6+x^5+2*x^4+x^3+x^2+x+2)/(-x^12+1) ogf_with_Euler_transform] A260162 99.9999 Evaluated at exp(-Pi) 1/2*exp(-3/8*Pi)/Pi^(1/2)*3^(1/2)*GAMMA(2/3)*GAMMA(3/4)*2^(1/2)*(1+3^(1/2))/GAMMA(11/12) A260163 9.20594 [-(-x^7+x^6+3*x^5+x^4-3*x^3+x^2+3*x+1)/(x^8-1) ogf_with_Euler_transform] A260163 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/8*Pi)/Pi^(1/4)*2^(3/4)/GAMMA(7/8)*GAMMA(5/8)*(2+2^(1/2)) A260164 9.12789 [-(x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(-x^8+1) ogf_with_Euler_transform] A260164 99.9999 Evaluated at exp(-Pi) 1/8*exp(5/8*Pi)/Pi^(1/4)*2^(1/4)/GAMMA(7/8)*GAMMA(5/8) A260165 9.78609 [-(-4*x^4-3*x^2-x-4)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A260181 10.5815 [(3*x^4+2*x^3+2*x^2+x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A260188 10.4509 [-(672*x^29-696*x^28+16*x^5-20*x^4-2)/(-24*x^30+24*x^29-4*x^6+4*x^5-x^2+1) lgdogf] A260188 22.0418 [-(24*x^29+4*x^5+x+1)/(x-1) ogf] A260190 10.9329 [(x+1)*(x^2-x+1)/(x^4-x^2+1) ogf] A260190 12.5593 [x^11-2*x^5-x^3+x^2+x ogf_with_Euler_transform] A260190 8.64839 [-f(x)*x^4+f(x)*x^2+x^3-f(x)+1 ogf] A260192 10.9329 [-(x-1)*(x^2+x+1)/(x^4-x^2+1) ogf] A260192 12.5593 [x^11-x^5-x^3-x^2+x ogf_with_Euler_transform] A260192 8.64839 [-f(x)*x^4+f(x)*x^2-x^3-f(x)+1 ogf] A260196 11.6477 [-(2*x^2-4*x+1)/(x-1) ogf] A260196 6.23983 [{-a(n+3)+a(n+2),a(0)=1,a(1)=-3,a(2)=-1} ogf] A260196 9.88955 [-f(x)*x-2*x^2+f(x)+4*x-1 ogf] A260200 6.82461 [2*(4*x^6+4*x^5-8*x^4-18*x^3-4*x^2-4*x+13)/(2*x^5+2*x^4-x^2-2*x+1) ogf] A260201 4.50449 [(12*x^8-5*x^7-21*x^6-17*x^5-11*x^4-28*x^3+83*x^2+36*x+44)/(x^8+x^7-x^5-2*x^4-5*x^3-x^2-x+1) ogf] A260217 11.4886 [-(18*x^2-22*x+6)/(6*x^3-11*x^2+6*x-1) lgdogf] A260217 16.7334 [-4*x^2/(x-1)/(3*x-1)/(2*x-1) ogf] A260217 6.93458 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A260217 9.38706 [6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+4*x^2-f(x) ogf] A260220 12.8499 [-(x^2+x+1)/(x^2+1)/(x-1)^3/(x+1)^3 ogf] A260220 25.2066 [x^3-x^2+2*x+1 ogf_with_Euler_transform] A260221 99.9999 Evaluated at exp(-Pi) 1/4*2^(1/4)*GAMMA(2/3)^2*GAMMA(7/12)^2*(2+3^(1/2))*exp(-1/24*Pi)/Pi^(3/4)/GAMMA(3/4)^3 A260241 5.07980 [(102*x^6-239*x^5+141*x^4-111*x^3+154*x^2+3*x+48)/(9*x^6-9*x^5+4*x^4-9*x^3+2*x^2-2*x+1) ogf] A260253 7.38262 [-(x^7+x^6+2*x^4+x^3+2*x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A260259 13.0041 [-(x^2-4*x+1)/(x+1)/(x^2-3*x+1) ogf] A260259 6.66598 [-(547*f(x)+300)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-4*x+1) ogf] A260259 7.08261 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=2,a(2)=1} ogf] A260259 8.17786 [-(x^4-8*x^3+13*x^2-6*x+2)/(x^5-6*x^4+7*x^3+7*x^2-6*x+1) lgdogf] A260260 10.7188 [x*(22*x^2+25*x+1)/(x-1)^4 ogf] A260260 11.4844 [-(44*x^2+119*x+29)/(22*x^3+3*x^2-24*x-1) lgdogf] A260260 3.94072 [{(n+3)*a(n+4)+(19+24*n)*a(n+3)+(-122-3*n)*a(n+2)+(-44-22*n)*a(n+1),a(0)=0,a(1)=1,a(2)=29,a(3)=132} ogf] A260260 5.08802 [-(1484537856*f(x)+15721788947)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-22*x^3-4*f(x)*x-25*x^2+f(x)-x) ogf] A260277 5.35113 [(x^9+x^8-22*x^7-9*x^6-5*x^5+8*x^4-x^3-53*x^2-12*x-34)/(x^8+x^4+3*x^3+x-1) ogf] A260278 3.63821 [-(4*x^11+12*x^10-19*x^9+41*x^8+16*x^7-43*x^6-165*x^5-16*x^4-27*x^3+145*x^2+39*x+46)/(x^3-x^2-1)/(3*x^6+3*x^5-x^4-5*x^3-x^2-x+1) ogf] A260287 3.79405 [-2*(96*x^9+256*x^8+88*x^7-280*x^6-294*x^5-155*x^4-184*x^3-137*x^2-52*x-24)/(8*x^9+4*x^8-8*x^7-8*x^6-2*x^5-5*x^4-4*x^3+1) ogf] A260295 8.90671 [-(4*x^4+2*x^3+3*x^2+x+2)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A260295 99.9999 Evaluated at exp(-Pi) 1/48*exp(11/12*Pi)*Pi^(3/2)*2^(1/4)*3^(1/2)*GAMMA(11/12)^4*GAMMA(7/12)^3*(3^(1/2)-1)/GAMMA(2/3)/GAMMA(3/4)^11 A260301 9.62268 [-(4*x^5-3*x^4+3*x^3+2*x^2+3*x-3)/(-x^6+1) ogf_with_Euler_transform] A260302 6.96215 [-(-10*x^4+58*x^3-372*x^2-1238*x-1378)/(-10*x^5+59*x^4-222*x^3-50*x^2-8*x+231) lgdogf] A260302 7.08759 [-x^2*(10*x^4-49*x^3+173*x^2+223*x+231)/(x-1)^5 ogf] A260304 11.2039 [-(-35*x^2+20*x-3)/(-35*x^3+45*x^2-17*x+2) lgdogf] A260304 12.271 [-5*f(x)*x^2+5*f(x)*x-f(x)-7*x+2 ogf] A260304 17.1793 [-(7*x-2)/(5*x^2-5*x+1) ogf] A260304 9.42768 [{a(n+2)-5*a(n+1)+5*a(n),a(0)=2,a(1)=3} ogf] A260307 8.45273 [(x^6+x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A260308 6.15343 [-(2*x^8-x^7+x^6-x^5+3*x^2-x+1)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A260308 99.9999 Evaluated at exp(-Pi) 1/32*exp(1/8*Pi)*2^(5/8)*GAMMA(2/3)^5/GAMMA(11/12)^(7/2)*GAMMA(7/12)^(3/2)*3^(1/8)*(5*3^(1/2)+9)/Pi^2 A260309 4.04006 [-(2*x^11-2*x^10+3*x^9-2*x^8+x^7-2*x^6+5*x^5-2*x^4+x^3-2*x^2+3*x-2)/(-x^12+1) ogf_with_Euler_transform] A260313 11.6488 [-(x^2-2*x+3)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A260313 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*Pi^(1/4)*2^(5/8)/GAMMA(3/4) A260314 14.2073 [-(x^3-4*x^2+4*x-4)/(-x^4+1) ogf_with_Euler_transform] A260314 99.9999 Evaluated at exp(-Pi) Pi^(1/4)*2^(1/8)/GAMMA(3/4) A260316 11.2905 [x^2*(2*x^3+3*x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A260334 5.80749 [-x*(17*x^6+487*x^5+2108*x^4+2642*x^3+1121*x^2+103*x+2)/(x+1)/(x-1)^7 ogf] A260363 5.31679 [-2*(50*x^6+2*x^5-23*x^4-33*x^3-89*x^2-15*x-24)/(x^7+3*x^6-5*x^5+x^4-5*x^3+x^2-x+1) ogf] A260394 7.27032 [-x*(x^38-x^30+x^6+x^4+x^3+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A260401 14.0346 [x^10-x^9-x^5+x^4+x^2-2*x+3 ogf_with_Euler_transform] A260401 6.38267 [(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^4/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A260440 14.8385 [(5*x^4+30*x^3+34*x^2+30*x+27)/(x+1)/(x^2+1)/(x-1)^2 ogf] A260444 7.65396 [(x^39-x^31-x^6-x^3-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A260446 10.1048 [x^15-x^11-x^9+x^5+x^3 ogf_with_Euler_transform] A260446 7.27754 [-x*(x^4-x^2+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A260468 3.64007 [(24*x^12-40*x^11-96*x^10-24*x^9-180*x^8+108*x^7+60*x^6+28*x^4+54*x^2+15*x+34)/(4*x^12+4*x^11+4*x^9-12*x^8-2*x^5-x^4-3*x^3-x+1) ogf] A260483 6.89117 [(x^8+x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A260484 12.4247 [(4*x^2+4*x+3)/(x^2+x+1)/(x-1)^2 ogf] A260484 4.40643 [{(-11*n-43)*a(n+1)-11*a(n+2)-11*a(n+3)+(11*n+32)*a(n+4),a(0)=3,a(1)=7,a(2)=11,a(3)=14} ogf] A260484 6.53368 [(275*f(x)+6254)*(f(x)*x^4-f(x)*x^3-f(x)*x-4*x^2+f(x)-4*x-3) ogf] A260486 4.22850 [-(-2*x^11-4*x^10-2*x^9-2*x^8-2*x^7-4*x^6-3*x^5-4*x^4-2*x^3-2*x^2-2*x-4)/(x^12-1) ogf_with_Euler_transform] A260505 4.59375 [-x^5*(2*x^2-x+1)*(x-1)^3/(x^2-x+1)^2/(x^2+x-1)^4 ogf] A260513 7.72605 [(x^4+3*x^3+7*x^2+3*x+1)/(x-1)^6 ogf] A260513 8.11625 [-(-2*x^4-13*x^3-37*x^2-29*x-9)/(-x^5-2*x^4-4*x^3+4*x^2+2*x+1) lgdogf] A260514 9.35785 [-(x^7-2*x^6-x^5-2*x^4+5*x^3-2*x^2-x-2)/(-x^8+1) ogf_with_Euler_transform] A260514 99.9999 Evaluated at exp(-Pi) -exp(-1/3*Pi)/Pi^(1/4)/GAMMA(7/8)*GAMMA(5/8)*(2+2^(1/2))^(1/2)/(2^(1/2)-2) A260515 10.0404 [-(-x^5+4*x^4-x^3-2*x+4)/(x^6-x^4+x^2-1) ogf_with_Euler_transform] A260515 99.9999 Evaluated at exp(-Pi) 1/2*exp(-1/6*Pi)/Pi^(1/4)*2^(1/4)/GAMMA(7/8)*GAMMA(5/8)*(2+2^(1/2)) A260518 13.4639 [-(-4*x^2-5*x-3)/(x^3+2*x^2+2*x+1) ogf_with_Euler_transform] A260537 3.77649 [(36*x^9-32*x^8-174*x^7-116*x^6+184*x^5+243*x^4+131*x^3-78*x^2-35*x-40)/(2*x^9+2*x^8-x^7-6*x^6-5*x^5-2*x^4+5*x^3+x^2+x-1) ogf] A260585 6.24999 [-(5*x^4-3*x^3-x^2-x+1)/(5*x^2-5*x+1)/(2*x-1)^2/(x-1)^3 ogf] A260599 10.4532 [-(-x^5+2*x^4+x^3+2)/(x^6-x^4+x^2-1) ogf_with_Euler_transform] A260599 99.9999 Evaluated at exp(-Pi) 1/8*exp(7/12*Pi)/Pi^(1/4)/GAMMA(7/8)*GAMMA(5/8)*2^(1/2) A260637 12.2126 [-(-5*x^2+4*x-5)/(-5*x^3+12*x^2-11*x+4) lgdogf] A260637 12.5942 [-7*(5*x^2-7*x+4)/(x-1)^3 ogf] A260637 6.71694 [-(4*f(x)-175)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+35*x^2-f(x)-49*x+28) ogf] A260637 7.00897 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=28,a(1)=35,a(2)=56} ogf] A260644 8.12954 [-x*(x^6+x^5+x^4-x^3-x^2-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A260655 11.7984 [-81*f(x)^2*x^2-18*f(x)*x+f(x)-1 ogf] A260655 17.1358 [-x/(-81*x^2-18*x-1) revogf] A260655 6.72619 [{(-36*n-90)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=18} ogf] A260679 11.5590 [-(-289*x^2+510*x-227)/(-289*x^3+833*x^2-801*x+257) lgdogf] A260679 13.4567 [-(289*x^2-544*x+257)/(x-1)^3 ogf] A260679 7.27097 [(361*f(x)-426572)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+289*x^2-f(x)-544*x+257) ogf] A260679 7.64068 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=257,a(1)=227,a(2)=199} ogf] A260686 10.9646 [-x*(x^2+x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A260686 24.5112 [x^5-2*x^2+2 ogf_with_Euler_transform] A260686 6.14393 [(7*f(x)+33)*(f(x)*x^4-f(x)*x^3+x^3+f(x)*x+x^2-f(x)+x) ogf] A260686 9.37758 [-(-2*x^5-2*x^4-2*x^3+4*x^2-2*x-2)/(-x^6+1) lgdogf] A260692 5.39115 [(2100000*x^5-10000*x^4-990110*x^3+10001*x^2-x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(1000*x^2-1) ogf] A260696 8.18040 [-(x^3+x^2+x-1)/(x+1)/(7*x^8+7*x^7+8*x^6-8*x^5-4*x^3+2*x^2-3*x+1) ogf] A260699 5.16338 [-x*(x^6+2*x^5+2*x^4+2*x^3+3*x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A260706 8.13041 [-(-2*x^5-3*x^4-2*x^3-2*x^2-3*x-3)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A260708 6.27860 [-x*(x^6+x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A260710 14.0758 [1/(x-1)/(x^6+x^5+2*x^4+x^3+x^2-1) ogf] A260710 8.35750 [-(-7*x^6-5*x^4+4*x^3+2*x+1)/(-x^7-x^5+x^4+x^2+x-1) lgdogf] A260714 9.63908 [-(x^8-2*x^7-4*x^6-2*x^5-6*x^4-4*x^3-2*x^2-4*x-7)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A260751 3.97508 [(163475316164160*f(x)+38088599781944494007504235508561)*(f(x)*x^2-2*f(x)*x+f(x)+6089317254750551*x-6171054912832631) ogf] A260751 5.67869 [{-a(n+2)+2*a(n+1)-a(n),a(0)=6171054912832631,a(1)=6252792570914711} ogf] A260751 8.48017 [-(6089317254750551*x-6171054912832631)/(x-1)^2 ogf] A260769 6.49697 [-16*f(x)^3*x^4-44*x^2*f(x)^3+f(x)^3+2*f(x)*x^2-5*f(x)*x-f(x)-x ogf] A260771 12.1296 [-(x^2-x)/(x^3+x^2+x+1) revogf] A260771 7.66078 [f(x)^3*x^3+f(x)^2*x^2+f(x)^2*x+f(x)*x-f(x)+1 ogf] A260772 6.49673 [-x^2*f(x)^3-2*f(x)^2*x^2+2*f(x)^2*x-2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A260772 7.49112 [-1/4*I/x*(x-1)*(4*x^2-4*x-1)^(1/2)-1/4*(2*x^2-x-1)/x revogf] A260773 8.17099 [-x*f(x)^3+2*f(x)^2*x-f(x)^2-2*f(x)*x+3*f(x)-2 ogf] A260773 9.78370 [1/4*(2*x+3+(-4*x^2-4*x+1)^(1/2))/(x+1)*x revogf] A260774 6.29779 [-3*f(x)^2*x^3-6*f(x)^2*x^2+f(x)^2*x-3*f(x)*x^2-6*f(x)*x+f(x)-x-1 ogf] A260774 6.82259 [1/2/(3*x^2+3*x+1)*(-6*x^2-6*x-1+(48*x^4+96*x^3+64*x^2+16*x+1)^(1/2)) revogf] A260775 5.99146 [{(32*n^2+32*n+6)*a(n)+(-2*n^2-5*n-3)*a(n+1),a(0)=1,a(1)=4} ogf] A260787 20.2962 [-(x+2)/(x^2+x-1) ogf_with_Euler_transform] A260810 10.6939 [-(2*x^3+54*x^2+102*x+22)/(x^4+16*x^3-16*x-1) lgdogf] A260810 4.58309 [{(-7*n^2-32*n-36)*a(n+1)+(14*n^2+56*n+108)*a(n+2)+(-7*n^2-24*n-20)*a(n+3),a(0)=0,a(1)=1,a(2)=22} ogf] A260810 8.96906 [-x*(x+1)*(x^2+16*x+1)/(x-1)^5 ogf] A260811 4.84388 [-(f(x)-1)^3 ogf] A260813 8.68826 [(f(x)-1)^2 ogf] A260814 3.53747 [-(f(x)-1)^2*(2*f(x)*x-f(x)+1) ogf] A260846 10.8409 [2*(8*x^2-5*x-1)/(x-1)/(15*x-1)/(3*x-1) ogf] A260846 5.26102 [-(787702356*f(x)-422616433)*(45*f(x)*x^3-63*f(x)*x^2+19*f(x)*x-16*x^2-f(x)+10*x+2) ogf] A260846 6.06355 [{-a(n+3)+19*a(n+2)-63*a(n+1)+45*a(n),a(0)=2,a(1)=48,a(2)=770} ogf] A260846 6.38838 [-(360*x^4-450*x^3+28*x^2+142*x-24)/(360*x^5-729*x^4+422*x^3-40*x^2-14*x+1) lgdogf] A260854 5.70965 [x*(1179648*x^5-1339392*x^4-12672*x^3+2016*x^2+248*x-1)/(x-1)/(256*x-1)/(16*x-1) ogf] A260855 4.41530 [x*(296875000*x^6-301875000*x^5-2270000*x^4+31000*x^3+6200*x^2+615*x-1)/(x-1)/(25*x-1)/(625*x-1) ogf] A260860 4.24587 [{a(n+3)-3661*a(n+2)+219660*a(n+1)-216000*a(n),a(0)=0,a(1)=1,a(2)=3721} ogf] A260860 4.34859 [(3721*f(x)+1)*(216000*f(x)*x^3-219660*f(x)*x^2+3661*f(x)*x+60*x^2-f(x)+x) ogf] A260860 7.59472 [-x*(60*x+1)/(x-1)/(3600*x-1)/(60*x-1) ogf] A260864 6.72737 [-(-76832*x^3+33124*x^2+5908*x-225)/(-38416*x^4+38612*x^3-197*x+1) lgdogf] A260865 4.53656 [{a(n+3)-241*a(n+2)+3615*a(n+1)-3375*a(n),a(0)=0,a(1)=1,a(2)=256} ogf] A260865 4.6519 [(256*f(x)+1)*(3375*f(x)*x^3-3615*f(x)*x^2+241*f(x)*x+15*x^2-f(x)+x) ogf] A260865 5.71796 [-(-101250*x^3+44100*x^2+7230*x-256)/(-50625*x^4+50850*x^3-226*x+1) lgdogf] A260865 8.31703 [-x*(15*x+1)/(x-1)/(15*x-1)/(225*x-1) ogf] A260866 10.0526 [-x*(16*x+1)/(x-1)/(256*x-1)/(16*x-1) ogf] A260866 5.48324 [{a(n+3)-273*a(n+2)+4368*a(n+1)-4096*a(n),a(0)=0,a(1)=1,a(2)=289} ogf] A260866 5.62265 [(289*f(x)+1)*(4096*f(x)*x^3-4368*f(x)*x^2+273*f(x)*x+16*x^2-f(x)+x) ogf] A260866 6.91117 [-(-131072*x^3+57600*x^2+8736*x-289)/(-65536*x^4+65792*x^3-257*x+1) lgdogf] A260873 3.97181 [(2*f(x)*x-f(x)+1)^3 ogf] A260878 4.49254 [4*f(x)^2*x^3-9*f(x)^2*x^2-4*f(x)*x^3+6*f(x)^2*x+17*f(x)*x^2+x^3-f(x)^2-16*f(x)*x-6*x^2+3*f(x)+10*x-2 ogf] A260890 13.5211 [-(x^3+2*x^2+3*x+1)/(x^4+x^3-x-1) ogf_with_Euler_transform] A260916 8.60969 [-(2*x^4-x^3+x^2+x-2)/(x^6+x^5+x^3-2*x^2-x+1) ogf_with_Euler_transform] A260917 10.2510 [-(7*x^6+6*x^5-3*x^2-2*x-1)/(x^7+x^6-x^3-x^2-x+1) lgdogf] A260917 18.5678 [1/(x-1)/(x^6+2*x^5+2*x^4+2*x^3+x^2-1) ogf] A260918 9.05654 [x*(4*x^3+5*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A260920 4.81226 [-(x^9+28*x^7+106*x^6+89*x^5+85*x^4+138*x^3+68*x^2+48*x+36)/(x^8+3*x^7+2*x^6+2*x^5+3*x^4+x^2-1) ogf] A260921 5.10180 [-(3*x^9-2*x^8+27*x^7+8*x^6-144*x^5-34*x^4-211*x^3-98*x^2-68*x-48)/(x^4+2*x^3+x-1)/(x^4-2*x^3-x-1) ogf] A260937 5.59799 [-(2*x^4+615*x^3-915*x^2+105*x+1)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A260939 2.20198 [(120120*f(x)+3631636849)*(f(x)*x^2-2*f(x)*x+f(x)-55117*x-4943) ogf] A260939 2.62258 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4943,a(1)=65003} ogf] A260939 4.48865 [(55117*x+4943)/(x-1)^2 ogf] A260942 3.40519 [-(2*x^17+2*x^16+x^15+x^14+x^13+2*x^12-x^11+x^5+2*x^4+x^3+x^2+x+2)/(-x^18+x^12-x^6+1) ogf_with_Euler_transform] A260953 6.34060 [(2048*x^7+2432*x^6+2456*x^5+944*x^4+409*x^3+25*x^2+x+1)/(x-1)/(8*x+1)/(8*x-1)/(x+1)/(64*x^2+1)/(x^2+1) ogf] A260955 12.5690 [-(x^2+14*x+9)/(x^3+5*x^2-5*x-1) lgdogf] A260955 13.1772 [-6*(x^2+6*x+1)/(x-1)^3 ogf] A260955 7.10422 [(13*f(x)-308)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+36*x+6) ogf] A260955 7.10422 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=54,a(2)=150} ogf] A260973 4.34413 [(208*x^8-256*x^7-26*x^6-52*x^5-80*x^4-65*x^3-118*x^2+5*x-48)/(16*x^8+4*x^6+6*x^5+3*x^4+4*x^3-2*x^2+2*x-1) ogf] A261004 10.1239 [(x^2+164*x+3)/(x-1)/(x^2-98*x+1) ogf] A261004 4.53832 [-(175874714717640*f(x)+7784624231749)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-x^2-f(x)-164*x-3) ogf] A261004 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=-3,a(1)=-461,a(2)=-45343} ogf] A261004 5.62441 [-(-x^4-328*x^3+16326*x^2+592*x-461)/(-x^5-65*x^4+16134*x^3-15938*x^2-133*x+3) lgdogf] A261012 12.0238 [{-a(n+3)+a(n+2),a(0)=-1,a(1)=0,a(2)=1} ogf] A261012 18.8297 [f(x)*x+x^2-f(x)+x-1 ogf] A261012 19.1918 [-(-x^2+2*x)/(x^3-2*x+1) lgdogf] A261012 22.1772 [-(x^2+x-1)/(x-1) ogf] A261031 17.9488 [-(-2*x-1)/(-x^2-x+1) ogf_with_Euler_transform] A261032 4.66279 [-x*(x^6-246*x^5+4047*x^4-11572*x^3+4047*x^2-246*x+1)/(x+1)^9 ogf] A261038 6.09725 [-(x^10+2*x^8-8*x^7-x^6-3*x^5-3*x^4+3*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A261047 15.4901 [2/(-x^3+3*x^2-3*x+1) egf]_with_Euler_transform] A261050 9.52795 [-(-x^4+x^3-x+1)/(-x^6-x^5-x^3+2*x^2+x-1) ogf_with_Euler_transform] A261051 9.21433 [-(-x^4+3*x^3-x-1)/(x^6+x^5+x^3-2*x^2-x+1) ogf_with_Euler_transform] A261054 10.1068 [-(3*x^4-4*x^3+7*x^2+12*x+7)/(x^5-x^3+4*x^2+x-2) lgdogf] A261054 11.6819 [-(x^3-x^2+x+2)/(x^2+x-1)^3 ogf] A261055 7.72571 [-(-3*x^4-4*x^3+6*x^2+8*x+5)/(-x^5-2*x^4+2*x^3+4*x^2-x-1) lgdogf] A261055 9.63205 [(x^3+x^2-2*x-1)/(x^2+x-1)^3 ogf] A261056 11.0840 [-(-2*x^3+6*x+8)/(-x^4-2*x^3+3*x^2+4*x-2) lgdogf] A261056 12.2777 [-(x^2-2)/(x^2+2*x-1)^2 ogf] A261056 6.04583 [(31423*f(x)-4226)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)-2) ogf] A261064 10.8441 [-(-18*x^2+20*x-6)/(-6*x^3+11*x^2-6*x+1) lgdogf] A261064 11.5326 [-(2*x-1)/(3*x-1)^2/(x-1)^2 ogf] A261064 3.57909 [{(n+4)*a(n+4)+(-24-6*n)*a(n+3)+(42+11*n)*a(n+2)+(-24-6*n)*a(n+1),a(0)=1,a(1)=6,a(2)=26,a(3)=100} ogf] A261064 5.81244 [(137*f(x)+1)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A261065 11.0877 [-(-3*x^2+3*x+8)/(-2*x^3+3*x^2+x-1) lgdegf] A261065 4.14977 [{(-2*n^2-11*n-15)*a(n+1)+(-2*n^2-16*n-32)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=8,a(2)=75} ogf] A261106 8.27051 [(4*x^5-4*x^4+19*x^3-54*x^2+5*x+28)/(x-1)/(3*x^2-1) ogf] A261107 6.11431 [(5*x^6-6*x^5-26*x^4-34*x^3-54*x^2-19*x-33)/(x^6+2*x^5+2*x^4+2*x^3+x-1) ogf] A261108 3.46387 [(7*x^12-26*x^11-18*x^10+50*x^9+16*x^8-46*x^7+35*x^6-144*x^5+56*x^4-248*x^3-89*x^2-106*x-63)/(x^12-2*x^10+2*x^8+5*x^6+10*x^4+3*x^2-1) ogf] A261116 9.37788 [-x*(x^4-x^3-2*x^2+3*x+1)/(x-1)/(x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A261120 11.6397 [-(9*x^2-5*x+2)/(x-1)/(3*x-1)/(7*x-1) ogf] A261120 6.15654 [(64920*f(x)-1189)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+9*x^2-f(x)-5*x+2) ogf] A261120 6.31306 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=2,a(1)=17,a(2)=134} ogf] A261120 6.53457 [-(189*x^4-210*x^3+182*x^2-106*x+17)/(189*x^5-384*x^4+296*x^3-126*x^2+27*x-2) lgdogf] A261140 3.97508 [(743783151050940*f(x)+12291248657235294688190783361829)*(f(x)*x^2-2*f(x)*x+f(x)+3114215897471953*x-3486107472997423) ogf] A261140 5.67869 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3486107472997423,a(1)=3857999048522893} ogf] A261140 8.48017 [-(3114215897471953*x-3486107472997423)/(x-1)^2 ogf] A261143 10.3260 [{-a(n+4)+a(n+3),a(0)=3,a(1)=3,a(2)=2,a(3)=1} ogf] A261143 11.9433 [-(f(x)-3)*(-x^3+f(x)*x-x^2-f(x)+3) ogf] A261143 13.7680 [-(2*x^3-2*x^2-2*x+3)/(-x^4+x^2+3*x-3) lgdogf] A261143 20.2305 [(x^3+x^2-3)/(x-1) ogf] A261149 4.24552 [(61052040989940*f(x)+266658629970023642012790884149)*(f(x)*x^2-2*f(x)*x+f(x)+484960926034973*x-515486946529943) ogf] A261149 5.52988 [-(-484960926034973*x+546012967024913)/(-484960926034973*x^2+1000447872564916*x-515486946529943) lgdogf] A261149 5.98233 [{-a(n+2)+2*a(n+1)-a(n),a(0)=515486946529943,a(1)=546012967024913} ogf] A261149 9.01447 [-(484960926034973*x-515486946529943)/(x-1)^2 ogf] A261150 4.27309 [(4249026802020*f(x)+162562832442493644603017825869)*(f(x)*x^2-2*f(x)*x+f(x)+401060703199627*x-403185216600637) ogf] A261150 5.57675 [-(-401060703199627*x+405309730001647)/(-401060703199627*x^2+804245919800264*x-403185216600637) lgdogf] A261150 5.98233 [{-a(n+2)+2*a(n+1)-a(n),a(0)=403185216600637,a(1)=405309730001647} ogf] A261150 9.01447 [-(401060703199627*x-403185216600637)/(x-1)^2 ogf] A261151 4.55229 [(921819738840*f(x)+130408247771491217613542209)*(f(x)*x^2-2*f(x)*x+f(x)+10949427981133*x-11410337850553) ogf] A261151 5.96229 [-(-10949427981133*x+11871247719973)/(-10949427981133*x^2+22359765831686*x-11410337850553) lgdogf] A261151 6.23832 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11410337850553,a(1)=11871247719973} ogf] A261151 9.48928 [-(10949427981133*x-11410337850553)/(x-1)^2 ogf] A261152 3.7943 [(21289801218345660*f(x)+26035717654609381573758756117032821)*(f(x)*x^2-2*f(x)*x+f(x)+150359458790286331*x-161004359399459161) ogf] A261152 5.52791 [{-a(n+2)+2*a(n+1)-a(n),a(0)=161004359399459161,a(1)=171649260008631991} ogf] A261152 8.11694 [-(150359458790286331*x-161004359399459161)/(x-1)^2 ogf] A261186 4.55656 [{(-27*n^3-243*n^2-726*n-720)*a(n+1)+(4*n^3+38*n^2+110*n+100)*a(n+2),a(0)=4,a(1)=35} ogf] A261190 6.08209 [(2*x^11+6*x^10+6*x^9+5*x^8+6*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+6*x+3)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A261191 13.9840 [-x*(37*x+1)/(x-1)^3 ogf] A261191 15.5976 [-(-74*x-40)/(-37*x^2+36*x+1) lgdogf] A261191 6.54092 [-(925604*f(x)-11625237)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+37*x^2-f(x)+x) ogf] A261191 7.24173 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=40} ogf] A261193 4.44670 [{(n^2+4*n+4)*a(n+1)+(-n^2-5*n-5)*a(n+2)+(n+1)*a(n+3),a(0)=-1,a(1)=-1,a(2)=0} ogf] A261196 18.8129 [4/(64*x^2+1)^(1/2) lgdogf] A261196 5.11823 [{(64*n^2+128*n+48)*a(n+1)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=4,a(2)=8} ogf] A261207 3.30285 [{(-3*n^2-9*n)*a(n+1)+(19*n^2+69*n+56)*a(n+2)+(-9*n^2-51*n-72)*a(n+3)+(n^2+7*n+12)*a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=14} ogf] A261207 5.9348 [4*f(x)^2*x^2-f(x)*x^3-24*f(x)^2*x+7*f(x)*x^2+4*f(x)^2-7*f(x)*x+f(x)-x ogf] A261241 4.53389 [(91356*f(x)+493219711)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+2584*x^3-4*f(x)*x-8285*x^2+f(x)+8902*x-3213) ogf] A261241 8.20176 [-(2584*x^3-8285*x^2+8902*x-3213)/(x-1)^4 ogf] A261243 5.15019 [(2*f(x)-3)*(f(x)*x^4-2*f(x)*x^3+x^4+x^3+2*f(x)*x-f(x)-x+1) ogf] A261243 8.88220 [-(x^4+x^3-x+1)/(x+1)/(x-1)^3 ogf] A261258 6.77001 [(2*x^6-17*x^5+8*x^4-34*x^3-14*x^2-5*x-36)/(x^6+2*x^4+x^2+x-1) ogf] A261259 7.28337 [(14*x^5-41*x^4-40*x^3-58*x^2-11*x-41)/(2*x^5+x^4+2*x^3+x-1) ogf] A261266 4.49543 [8*f(x)^2*x^3-16*f(x)^2*x^2+9*f(x)^2*x+8*f(x)*x^2-f(x)^2-8*f(x)*x+f(x)+x ogf] A261271 5.27459 [(4*x^13+3*x^11+x^10+3*x^9+2*x^8+4*x^7+2*x^6+4*x^5+2*x^4+2*x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A261276 14.2780 [-x*(97*x+1)/(x-1)^3 ogf] A261276 15.3357 [-(-194*x-100)/(-97*x^2+96*x+1) lgdogf] A261276 6.41959 [-(280504028*f(x)-9132395679)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+97*x^2-f(x)+x) ogf] A261276 7.32855 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=100} ogf] A261303 7.85260 [(6*x^26-6*x^25-72*x^24+72*x^23-18*x^6+24*x^5-6*x^4-9*x^3+9*x^2-2*x+1)/(x-1)^2 ogf] A261305 8.42570 [(2*x^23-2*x^22+10*x^20-10*x^19-90*x^18+90*x^17-15*x^3+15*x^2-2*x+1)/(x-1)^2 ogf] A261307 9.66771 [(78*x^34-78*x^33-168*x^24+168*x^23-21*x^3+21*x^2-2*x+1)/(x-1)^2 ogf] A261308 8.95585 [-(168*x^21-168*x^20-2*x^8-2*x^7+4*x^6+24*x^3-24*x^2+2*x-1)/(x-1)^2 ogf] A261309 11.5168 [-(270*x^30-270*x^29+27*x^3-27*x^2+2*x-1)/(x-1)^2 ogf] A261310 9.61666 [-(270*x^27-270*x^26-6*x^5+6*x^4+30*x^3-30*x^2+2*x-1)/(x-1)^2 ogf] A261317 24.1416 [x^5+x^2+x lgdegf] A261320 99.9999 Evaluated at exp(-Pi) 1/4*GAMMA(2/3)^2*GAMMA(7/12)^2*(2+3^(1/2))/Pi/GAMMA(3/4)^2 A261321 99.9999 Evaluated at exp(-Pi) -2*Pi*3^(1/2)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^2 A261325 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/3*Pi)/GAMMA(3/4)^6*GAMMA(11/12)^3*GAMMA(7/12)^3 A261326 99.9999 Evaluated at exp(-Pi) Pi^(2/3)*3^(1/3)*GAMMA(3/4)^(26/3)*(2^(1/2)*(1+3^(1/2)))^(11/3)/GAMMA(2/3)^(4/3)/GAMMA(11/12)^(11/3)*2^(1/2)/(66*3^(1/2)+114)/GAMMA(7/12)^5 A261327 9.18966 [-(5*x^5+2*x^4-2*x^3-x^2+5*x+1)/(x-1)^3/(x+1)^3 ogf] A261329 23.0609 [-1/(x^2+2*x-1) ogf_with_Euler_transform] A261330 17.0651 [-(-2*x-2)/(-x^2-2*x+1) ogf_with_Euler_transform] A261331 8.14669 [-(x^4-x^3+x-1)/(x^6+2*x^5+x^4+4*x^3-3*x^2-2*x+1) ogf_with_Euler_transform] A261332 8.36921 [-(2*x^4-4*x^3+2)/(-x^6-2*x^5-x^4-4*x^3+3*x^2+2*x-1) ogf_with_Euler_transform] A261343 13.7658 [-x*(47*x+1)/(x-1)^3 ogf] A261343 15.3542 [-(-94*x-50)/(-47*x^2+46*x+1) lgdogf] A261343 6.28676 [-(16374528*f(x)-260225329)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+47*x^2-f(x)+x) ogf] A261343 7.12873 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=50} ogf] A261348 12.1033 [-x^2*(x^4+x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A261351 6.07344 [-(x^11-x^10-3*x^9+5*x^8-5*x^7+5*x^6-x^5-2*x^4+x^3-2*x^2-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A261369 99.9999 Evaluated at exp(-Pi) -1/3*exp(2/3*Pi)*Pi*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^2 A261373 5.40537 [(2*x^11+5*x^9-3*x^8-2*x^7+14*x^6-33*x^5+14*x^4-58*x^3-24*x^2-39*x-36)/(2*x^6+3*x^4+x^2-1) ogf] A261374 5.54722 [(9*x^8-23*x^7-50*x^6+67*x^5-50*x^4+116*x^3+43*x^2+41*x+39)/(x^4+2*x^3+x-1)/(x^4-2*x^3-x-1) ogf] A261384 13.1738 [-(5*x^2+6*x+3)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A261386 13.6464 [-(4*x^2+6*x+4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A261389 13.5303 [-(6*x^2+9*x+6)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A261391 7.86582 [x*(11*x^4+16*x^3+66*x^2+16*x+11)/(x-1)^6 ogf] A261391 8.30690 [-(-22*x^4-92*x^3-312*x^2-212*x-82)/(-11*x^5-5*x^4-50*x^3+50*x^2+5*x+11) lgdogf] A261394 6.82422 [-(3*x^8-8*x^7+12*x^6-3*x^5-4*x^4+4*x^3+6*x^2-12*x+8)/(-x^9-x^6-x^3-1) ogf_with_Euler_transform] A261394 99.9999 Evaluated at exp(-Pi) Pi^(5/4)/GAMMA(2/3)/GAMMA(3/4)^4*3^(1/4)*GAMMA(11/12)*(3^(1/2)-1) A261397 10.2972 [{-a(n+2)+3*a(n+1)+9*a(n),a(0)=0,a(1)=3} ogf] A261397 14.1368 [9*f(x)*x^2+3*f(x)*x-f(x)+3*x ogf] A261397 17.0219 [-(-18*x-3)/(-9*x^2-3*x+1) lgdogf] A261397 22.5425 [-3*x/(9*x^2+3*x-1) ogf] A261399 11.5147 [-(-18*x^2+12*x-4)/(-18*x^3+27*x^2-10*x+1) lgdogf] A261399 17.6558 [-(3*x-1)/(6*x-1)/(x-1) ogf] A261399 8.73092 [-(97*f(x)-33)*(6*f(x)*x^2-7*f(x)*x+f(x)+3*x-1) ogf] A261399 9.68917 [{a(n+2)-7*a(n+1)+6*a(n),a(0)=1,a(1)=4} ogf] A261418 8.11923 [-(4*x^14+x^13+2*x^12-3*x^11-4*x^10+5*x^9+6*x^8-15*x^7+6*x^6+5*x^5-4*x^4-3*x^3+2*x^2+x+4)/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A261424 6.48101 [-x^10*(9*x^11+9*x^10+8*x^9+7*x^8+6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A261441 7.30640 [-x*(x^5+2*x^3-1)/(x^3-x^2+2*x-1)/(x^3+x-1)/(x-1)^2 ogf] A261442 7.04019 [x*(x^2+2*x-2)/(x+1)/(x^2+x-1)/(x^3+x-1)/(x-1)^3 ogf] A261444 99.9999 Evaluated at exp(-Pi) 1/18*exp(2/3*Pi)*3^(1/2)*Pi^(3/4)/GAMMA(3/4)^3 A261445 9.79845 [-(-4*x^4-x^2-3*x-4)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A261446 12.5549 [-(-3*x^4-2*x^3-2*x^2-2*x-3)/(-x^6+1) ogf_with_Euler_transform] A261451 13.4258 [-(-x^3+4*x+4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A261452 11.6164 [-(x^3+6*x^2+5*x+2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A261454 99.9999 Evaluated at exp(-Pi) 1/4*exp(-1/24*Pi)*2^(17/24)/GAMMA(3/4)^2*GAMMA(5/6)^(1/2)*GAMMA(7/12)*(1+3^(1/2)) A261480 8.71634 [(2*x^3+2*x^2+1)/(x-1)/(2*x-1)/(x+1)/(x^2+x+1)/(2*x^2+x+1) ogf] A261481 5.23312 [-(6*x^5+6*x^4+x^3+7*x^2+x+1)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(x^2+x+1)/(3*x^2+x+1)/(2*x^2+x+1) ogf] A261517 5.43345 [(f(x)-x-1)^2 ogf] A261519 12.5350 [-(-4*x^2-2*x+4)/(-4*x^3+2*x^2+2*x-1) ogf_with_Euler_transform] A261520 11.6681 [-(9*x^2+3*x-6)/(9*x^3-3*x^2-3*x+1) ogf_with_Euler_transform] A261521 11.7912 [-(-28*x^2+54*x-32)/(-28*x^3+83*x^2-84*x+29) lgdogf] A261521 13.0808 [-(28*x^2-55*x+29)/(x-1)^3 ogf] A261521 6.75139 [-(212*f(x)+26417)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)-55*x+29) ogf] A261521 7.27976 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=29,a(1)=32,a(2)=37} ogf] A261540 4.87029 [x*(29*x^6+246*x^5+1275*x^4+1940*x^3+1275*x^2+246*x+29)/(x-1)^8 ogf] A261544 14.3360 [1/(1000*x-1)/(x-1) ogf] A261544 5.824 [(1000001*f(x)+2000)*(1000*f(x)*x^2-1001*f(x)*x+f(x)-1) ogf] A261544 6.14401 [{-a(n+2)+1001*a(n+1)-1000*a(n),a(0)=1,a(1)=1001} ogf] A261547 9.46973 [-3*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-3*x+1 ogf] A261557 10.3972 [-(-3*x^3+7*x^2+x+1)/(-x^4+2*x^3+x-2) lgdogf] A261557 12.2721 [-2*x^2*(x-2)/(x^2+x+1)/(x-1)^2 ogf] A261557 4.62098 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=0,a(1)=0,a(2)=4,a(3)=2} ogf] A261557 6.62477 [(13*f(x)+46)*(f(x)*x^4-f(x)*x^3+2*x^3-f(x)*x-4*x^2+f(x)) ogf] A261574 3.40046 [2*x*(38*x^8+1013*x^7+11162*x^6+43907*x^5+69200*x^4+43907*x^3+11162*x^2+1013*x+38)/(x-1)^10 ogf] A261576 10.9687 [-(2*x^4+4*x^3-4*x^2+4*x+2)/(-x^6+1) ogf_with_Euler_transform] A261610 16.6920 [-(2*x^3-x+2)/(x^6-1) ogf_with_Euler_transform] A261611 16.6836 [-(2*x^4-x+2)/(x^8-1) ogf_with_Euler_transform] A261612 16.2501 [-(x^3-x+1)/(x^6-1) ogf_with_Euler_transform] A261615 16.8787 [-(2*x^3-2*x+2)/(x^6-1) ogf_with_Euler_transform] A261616 27.8804 [2/(-x^3+1) ogf_with_Euler_transform] A261618 9.76936 [-(81900*x^10-83790*x^9-8100*x^8+10*x-121)/(x-1)^2 ogf] A261629 28.3284 [2/(-x^4+1) ogf_with_Euler_transform] A261630 16.2960 [-(2*x^4-2*x+2)/(x^8-1) ogf_with_Euler_transform] A261631 28.3547 [3/(-x^3+1) ogf_with_Euler_transform] A261632 28.5772 [3/(-x^4+1) ogf_with_Euler_transform] A261633 15.6481 [-(3*x^3-3*x+3)/(x^6-1) ogf_with_Euler_transform] A261634 13.8917 [-(3*x^4-3*x+3)/(x^8-1) ogf_with_Euler_transform] A261635 27.5955 [4/(-x^3+1) ogf_with_Euler_transform] A261636 28.3662 [4/(-x^4+1) ogf_with_Euler_transform] A261637 16.6578 [-(4*x^3-4*x+4)/(x^6-1) ogf_with_Euler_transform] A261638 16.1271 [-(4*x^4-4*x+4)/(x^8-1) ogf_with_Euler_transform] A261647 16.0485 [-(-6*x^2+3*x-6)/(-x^4+1) ogf_with_Euler_transform] A261648 14.7237 [-(-10*x^2+5*x-10)/(-x^4+1) ogf_with_Euler_transform] A261649 16.8577 [-(4*x^3-2*x+4)/(x^6-1) ogf_with_Euler_transform] A261650 16.8358 [-(-4*x^4+2*x-4)/(-x^8+1) ogf_with_Euler_transform] A261651 16.6544 [-(-6*x^3+3*x-6)/(-x^6+1) ogf_with_Euler_transform] A261652 16.4063 [-(-6*x^4+3*x-6)/(-x^8+1) ogf_with_Euler_transform] A261654 5.54986 [-(2*x^8+x^7+2*x^6-6*x^5-4*x^4-6*x^3+8*x^2+7*x+4)/(x-1)^3/(x^2+x+1)^3 ogf] A261666 5.20863 [x^2*(x^2+x+1)*(x^10+x^7+x^4-x^3-1)/(x-1)/(x^14+x^13+x^12+x^11+x^10+x^9+x^8-x^5-x^4-x^3-x^2+1) ogf] A261671 12.7753 [(x^3+9*x^2+x+3)/(x-1)^2/(x+1)^2 ogf] A261671 7.54906 [(32130*f(x)+224321)*(f(x)*x^4-2*f(x)*x^2-x^3-9*x^2+f(x)-x-3) ogf] A261671 9.22662 [-(-x^4-18*x^3-6*x^2-30*x-1)/(-x^5-9*x^4+6*x^2+x+3) lgdogf] A261676 6.77638 [-(989*x^8-11*x^7-11*x^6-11*x^5-11*x^4-11*x^3-11*x^2-11*x-1022)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A261694 5.82328 [-x*(x^14+20*x^13+2*x^12+18*x^11+5*x^10+13*x^9+13*x^8+13*x^6+8*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A261704 3.69244 [2*(2*x^10+6*x^9-47*x^8+45*x^7-48*x^6+38*x^5+99*x^4-21*x^3-24*x^2-14*x-24)/(x-1)/(2*x^8-2*x^7+x^6-4*x^5-7*x^4-2*x^3-x^2+1) ogf] A261723 14.1365 [-(4*x^3+6*x^2-3*x-4)/(x-1)/(x+1)/(2*x^2-1) ogf] A261723 8.75118 [-(f(x)+9)*(2*f(x)*x^4-3*f(x)*x^2+4*x^3+6*x^2+f(x)-3*x-4) ogf] A261728 8.41919 [(x^10+3*x^9+2*x^8+6*x^7+5*x^6+9*x^5+2*x^4+6*x^3+4*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A261734 10.3378 [-(x^6+x^4-x^3+x^2+1)/(-x^8+1) ogf_with_Euler_transform] A261734 99.9999 Evaluated at exp(-Pi) exp(1/8*Pi)/Pi^(5/8)*3^(5/32)*2^(13/16)/GAMMA(7/8)^(5/4)*GAMMA(5/8)^(5/4)*GAMMA(11/12)^(5/8)*GAMMA(7/12)^(5/8)/(2^(1/2)*(2-2^(1/2))^(1/2))^(3/4)/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2)*(2+2^(1/2))^(1/4)/(2^(1/2)*(1+3^(1/2)))^(5/8)/(2^(1/2)*(3^(1/2)-1))^(5/8) A261736 8.00444 [-(x^10+x^8+x^6-x^5+x^4+x^2+1)/(-x^12+1) ogf_with_Euler_transform] A261766 6.60995 [{(n^2+2*n)*a(n)+(-n-1)*a(n+1),a(0)=1,a(1)=0,a(2)=3} ogf] A261770 9.39248 [-(-x^10-x^8-x^6+x^5-x^4-x^2-1)/(-x^12+1) ogf_with_Euler_transform] A261775 10.1245 [-(-x^6-x^5-x^4-x^3-x^2-x-1)/(-x^8+1) ogf_with_Euler_transform] A261775 99.9999 Evaluated at exp(-Pi) 1/2*exp(7/24*Pi)*2^(15/16)/(2^(1/2)*(2-2^(1/2))^(1/2))^(1/2)/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2)/(2+2^(1/2))^(1/4) A261776 99.9999 Evaluated at exp(-Pi) 1/10*exp(3/8*Pi)*2^(27/40)*5^(1/4)*GAMMA(4/5)^2/GAMMA(9/10)/GAMMA(7/10)*(5/8-1/8*5^(1/2))*(5^(1/2)-1)*(5^(1/2)+1) A261799 4.75546 [(x-1)^7/(2*x^7-14*x^6+42*x^5-70*x^4+70*x^3-42*x^2+14*x-1) ogf] A261799 7.23437 [-7/(-2*x^8+16*x^7-56*x^6+112*x^5-140*x^4+112*x^3-56*x^2+15*x-1) lgdogf] A261800 4.32920 [(x-1)^8/(2*x^8-16*x^7+56*x^6-112*x^5+140*x^4-112*x^3+56*x^2-16*x+1) ogf] A261800 6.82681 [8/(-2*x^9+18*x^8-72*x^7+168*x^6-252*x^5+252*x^4-168*x^3+72*x^2-17*x+1) lgdogf] A261801 5.81071 [(x-1)^9/(2*x^9-18*x^8+72*x^7-168*x^6+252*x^5-252*x^4+168*x^3-72*x^2+18*x-1) ogf] A261831 8.34955 [(2*x^11+x^10+4*x^9+3*x^8+8*x^7+5*x^6+10*x^5+5*x^4+2*x^3+3*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A261877 8.95889 [-(-2*x^6-x^5-x^3-2*x^2)/(-x^10-x^6+x^4+1) ogf_with_Euler_transform] A261878 7.06937 [(x^21-2*x^20+x^19+2*x^13-4*x^12+2*x^11+x^7-2*x^6+x^5-x^2+x-1)/(x-1)^3 ogf] A261882 10.1060 [-(4*x^3+8*x^2+x+1)/(x-1)/(x^2+x+1) ogf] A261882 6.00045 [{a(n+4)-a(n+1),a(0)=1,a(1)=1,a(2)=8,a(3)=5} ogf] A261882 6.12812 [-(3527*f(x)-26773)*(f(x)*x^3+4*x^3+8*x^2-f(x)+x+1) ogf] A261893 10.5820 [(x^3+x^2+3*x+1)/(x-1)^4 ogf] A261893 11.1618 [-(-x^3-5*x^2-11*x-7)/(-x^4-2*x^2+2*x+1) lgdogf] A261893 4.33411 [{(-23*n^2-73*n-54)*a(n+1)+(-26*n^2-396*n-744)*a(n+2)+(49*n^2+253*n+318)*a(n+3),a(0)=1,a(1)=7,a(2)=23} ogf] A261893 5.69799 [(3699*f(x)+4321)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-3*x-1) ogf] A261898 3.43450 [{(-2*n^2-n)*a(n)+(2*n^2+8*n+7)*a(n+1)+(2*n^2+12*n+17)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=4} ogf] A261898 3.95367 [72*f(x)^2*x^3-108*f(x)^2*x^2-48*f(x)*x^3+54*f(x)^2*x+72*f(x)*x^2+8*x^3-9*f(x)^2-36*f(x)*x-3*x^2+6*f(x)-6*x+3 egf] A261932 6.06774 [-2*(4*x^8-x^7+x^5-63*x^4+29*x^3+10*x^2+11*x+13)/(x-1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A261933 6.94060 [-(40*x^4+51*x^3-148*x^2+51*x+40)/(x-1)/(x^4-70*x^2+1) ogf] A261934 5.94345 [(2*x^8+2*x^7+x^6+2*x^5-27*x^4-26*x^3-9*x^2-10*x-7)/(x-1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A261935 6.74039 [(21*x^4+18*x^3-560*x^2-18*x-5)/(x-1)/(x^4-70*x^2+1) ogf] A261950 6.63954 [(7*x^6+3*x^5+20*x^4+9*x^3+8*x^2+3*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A261951 5.04495 [(7*x^10+3*x^9+14*x^8+3*x^7+15*x^6+12*x^5+15*x^4+9*x^3+8*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A261952 7.44546 [(3*x^6-3*x^5-6*x^4+7*x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A261953 10.0352 [(x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2 ogf] A261953 5.20623 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=9,a(3)=12} ogf] A261953 6.68408 [-(f(x)-21)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x-5*x^2+f(x)-2*x-1) ogf] A261954 7.05297 [(7*x^6+6*x^5+8*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A261955 4.34699 [-(3*x^13+9*x^12-15*x^11-13*x^10-9*x^9-5*x^8-9*x^7-3*x^6-9*x^5-6*x^4-12*x^3-5*x^2-3*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A261956 4.24930 [-(9*x^13+9*x^12-12*x^11-13*x^10-12*x^9-5*x^8-3*x^7-3*x^6-9*x^5-6*x^4-6*x^3-5*x^2-3*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A261957 4.41680 [-(3*x^14+9*x^13-9*x^12-3*x^11-13*x^10-12*x^9-11*x^8-6*x^7-15*x^4-9*x^3-8*x^2-3*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A261958 5.58781 [(x^10+4*x^9+3*x^8+4*x^7+4*x^6+16*x^5+12*x^4+12*x^3+11*x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A261968 99.9999 Evaluated at exp(-Pi) 8/125*2^(3/5)*5^(1/4)/GAMMA(4/5)^6*GAMMA(9/10)^3*GAMMA(7/10)^3*(5+5^(1/2))^3*(1/4*5^(1/2)-1/4)^3*(1/4*5^(1/2)+1/4)^3 A261972 10.1830 [-(x^2-14*x+25)/(x-1)/(x^2-14*x+1) ogf] A261972 5.25314 [(6811737*f(x)+341116)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x+x^2-f(x)-14*x+25) ogf] A261972 5.51579 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=25,a(1)=361,a(2)=5041} ogf] A261972 5.96302 [-(-x^4+28*x^3-270*x^2+748*x-361)/(-x^5+29*x^4-250*x^3+586*x^2-389*x+25) lgdogf] A261973 4.81661 [(804408916*f(x)-14296389)*(f(x)*x^3-47*f(x)*x^2+47*f(x)*x+5*x^2-f(x)-98*x+137) ogf] A261973 5.08852 [{a(n+3)-47*a(n+2)+47*a(n+1)-a(n),a(0)=137,a(1)=6341,a(2)=291593} ogf] A261973 9.56024 [-(5*x^2-98*x+137)/(x-1)/(x^2-46*x+1) ogf] A261974 4.37897 [-(608335535269*f(x)-27570243973)*(f(x)*x^3-47*f(x)*x^2+47*f(x)*x-5*x^2-f(x)+158*x+67) ogf] A261974 5.01980 [{-a(n+3)+47*a(n+2)-47*a(n+1)+a(n),a(0)=67,a(1)=3307,a(2)=152275} ogf] A261974 9.35508 [(5*x^2-158*x-67)/(x-1)/(x^2-46*x+1) ogf] A261988 4.09204 [(5*x^18-9*x^15+10*x^12-5*x^9+9*x^6-6*x^3+5)/(4*x^19+5*x^18-9*x^15+14*x^13+10*x^12-12*x^10-5*x^9+6*x^7+9*x^6-2*x^4-6*x^3+10*x+5) ogf] A261993 8.77359 [(2*x^19-4*x^18+2*x^17+x^7-2*x^6+x^5-x^2+x-1)/(x-1)^3 ogf] A261995 5.62103 [-3*(6*x^8+8*x^6+27*x^5-596*x^4+504*x^3+64*x^2+27*x+14)/(x-1)/(x^8-110*x^4+1) ogf] A261996 5.22485 [4*(x^8+3*x^7+3*x^6+9*x^5-89*x^4-165*x^3-21*x^2-9*x-2)/(x-1)/(x^8-110*x^4+1) ogf] A261998 19.8735 [-(x-3)/(-x^2+1) ogf_with_Euler_transform] A262000 11.5422 [x*(6*x^2+14*x+1)/(x-1)^4 ogf] A262000 12.5606 [-(12*x^2+54*x+18)/(6*x^3+8*x^2-13*x-1) lgdogf] A262000 4.27060 [{(n+3)*a(n+4)+(8+13*n)*a(n+3)+(-62-8*n)*a(n+2)+(-12-6*n)*a(n+1),a(0)=0,a(1)=1,a(2)=18,a(3)=72} ogf] A262000 5.54624 [-(143823330*f(x)+744540029)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-14*x^2+f(x)-x) ogf] A262011 6.78925 [{(n^3+6*n^2+12*n+9)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A262017 10.5047 [-(x^2-22*x+61)/(x-1)/(x^2-22*x+1) ogf] A262017 5.33441 [(85680335*f(x)+2609517)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x+x^2-f(x)-22*x+61) ogf] A262017 5.59675 [{a(n+3)-23*a(n+2)+23*a(n+1)-a(n),a(0)=61,a(1)=1381,a(2)=30361} ogf] A262017 5.93743 [-(-x^4+44*x^3-666*x^2+2804*x-1381)/(-x^5+45*x^4-590*x^3+1910*x^2-1425*x+61) lgdogf] A262018 4.95823 [(31191912*f(x)-5461901)*(f(x)*x^3-179*f(x)*x^2+179*f(x)*x+28*x^2-f(x)+296*x+28) ogf] A262018 5.23590 [{a(n+3)-179*a(n+2)+179*a(n+1)-a(n),a(0)=28,a(1)=5308,a(2)=945148} ogf] A262018 5.36465 [-(-7*x^4-148*x^3+14478*x^2+2492*x-1327)/(-7*x^5+1179*x^4+11986*x^3-11986*x^2-1179*x+7) lgdogf] A262018 9.48532 [-4*(7*x^2+74*x+7)/(x-1)/(x^2-178*x+1) ogf] A262019 4.5137 [-(1086975976581*f(x)+90715756393)*(f(x)*x^3-179*f(x)*x^2+179*f(x)*x-25*x^2-f(x)+890*x+15) ogf] A262019 5.23590 [{-a(n+3)+179*a(n+2)-179*a(n+1)+a(n),a(0)=15,a(1)=3575,a(2)=637215} ogf] A262019 5.45406 [-(5*x^4-356*x^3+30958*x^2+1084*x-715)/(5*x^5-1073*x^4+32754*x^3-31330*x^2-359*x+3) lgdogf] A262019 9.48532 [5*(5*x^2-178*x-3)/(x-1)/(x^2-178*x+1) ogf] A262020 4.26639 [{(-n-2)*a(n+1)+(-n-3)*a(n+2)+a(n+4)+2*a(n+3),a(0)=1,a(1)=0,a(2)=1,a(3)=-1} ogf] A262035 3.71379 [{(12*n^3+42*n^2+36*n)*a(n)+(-4*n^3-33*n^2-83*n-60)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=2} ogf] A262035 4.73165 [16*f(x)^2*x^3-4*f(x)^2*x^2-16*f(x)*x^3+4*f(x)*x^2+4*x^3+8*f(x)*x-x^2-2*f(x)-4*x+2 egf] A262050 99.9999 Evaluated at exp(-Pi) -1/20*exp(1/2*Pi)*2^(3/10)*5^(1/4)*GAMMA(4/5)^2*(-5+5^(1/2))/GAMMA(9/10)/GAMMA(7/10) A262062 4.82557 [(3685297488*f(x)+93887663)*(f(x)*x^3-27*f(x)*x^2+27*f(x)*x+x^2-f(x)-26*x+85) ogf] A262062 5.18157 [{a(n+3)-27*a(n+2)+27*a(n+1)-a(n),a(0)=85,a(1)=2269,a(2)=58969} ogf] A262062 9.72540 [-(x^2-26*x+85)/(x-1)/(x^2-26*x+1) ogf] A262063 11.2389 [6*(x-13)/(x-1)/(x^2-26*x+1) ogf] A262063 4.91701 [-(49530398372*f(x)+209556635)*(f(x)*x^3-27*f(x)*x^2+27*f(x)*x-f(x)-6*x+78) ogf] A262063 5.15884 [{-a(n+3)+27*a(n+2)-27*a(n+1)+a(n),a(0)=78,a(1)=2100,a(2)=54594} ogf] A262063 6.91624 [-(2*x^3-66*x^2+702*x-350)/(x^4-40*x^3+378*x^2-352*x+13) lgdogf] A262074 4.97806 [(1261373953*f(x)+27621766)*(f(x)*x^3-31*f(x)*x^2+31*f(x)*x+x^2-f(x)-30*x+113) ogf] A262074 5.29923 [{a(n+3)-31*a(n+2)+31*a(n+1)-a(n),a(0)=113,a(1)=3473,a(2)=104161} ogf] A262074 5.56868 [-(-x^4+60*x^3-1238*x^2+7004*x-3473)/(-x^5+61*x^4-1074*x^3+4434*x^2-3533*x+113) lgdogf] A262074 9.95612 [-(x^2-30*x+113)/(x-1)/(x^2-30*x+1) ogf] A262075 11.4795 [7*(x-15)/(x-1)/(x^2-30*x+1) ogf] A262075 5.03331 [-(156970980960*f(x)+586396817)*(f(x)*x^3-31*f(x)*x^2+31*f(x)*x-f(x)-7*x+105) ogf] A262075 5.31976 [{-a(n+3)+31*a(n+2)-31*a(n+1)+a(n),a(0)=105,a(1)=3248,a(2)=97433} ogf] A262075 7.19045 [-(2*x^3-76*x^2+930*x-464)/(x^4-46*x^3+496*x^2-466*x+15) lgdogf] A262076 5.66684 [-26*(x^4+22*x^3+317*x^2+22*x+1)/(x-1)/(x^4-3148*x^2+1) ogf] A262077 5.61485 [3*(9*x^4+140*x^3-6296*x^2-140*x-5)/(x-1)/(x^4-3148*x^2+1) ogf] A262139 10.9995 [-(x^2-9*x+22)/(x-1)/(x^2-6*x+1) ogf] A262139 5.45578 [(76449656*f(x)+3171595)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)-9*x+22) ogf] A262139 5.82882 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=22,a(1)=145,a(2)=862} ogf] A262139 6.19975 [-(x^4-18*x^3+122*x^2-306*x+145)/(x^5-16*x^4+92*x^3-218*x^2+163*x-22) lgdogf] A262140 12.6291 [4*(x-5)/(x-1)/(x^2-6*x+1) ogf] A262140 5.82882 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=20,a(1)=136,a(2)=812} ogf] A262140 5.82883 [-(780099*f(x)-73261)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-f(x)-4*x+20) ogf] A262140 7.92991 [-(2*x^3-22*x^2+70*x-34)/(x^4-12*x^3+42*x^2-36*x+5) lgdogf] A262141 4.56731 [(46744057143*f(x)+799247779)*(f(x)*x^3-39*f(x)*x^2+39*f(x)*x+x^2-f(x)-38*x+181) ogf] A262141 4.93564 [{a(n+3)-39*a(n+2)+39*a(n+1)-a(n),a(0)=181,a(1)=7021,a(2)=266761} ogf] A262141 9.27302 [-(x^2-38*x+181)/(x-1)/(x^2-38*x+1) ogf] A262142 10.6897 [9*(x-19)/(x-1)/(x^2-38*x+1) ogf] A262142 4.61599 [-(1051741285880*f(x)+3179197061)*(f(x)*x^3-39*f(x)*x^2+39*f(x)*x-f(x)-9*x+171) ogf] A262142 4.91380 [{-a(n+3)+39*a(n+2)-39*a(n+1)+a(n),a(0)=171,a(1)=6660,a(2)=253071} ogf] A262142 6.62295 [-(2*x^3-96*x^2+1482*x-740)/(x^4-58*x^3+780*x^2-742*x+19) lgdogf] A262148 8.72839 [-56*(7*x^5+x^4+7*x^3+7*x^2+x+1)/(7*x^3+1)/(7*x^3-1) ogf] A262150 10.0174 [-(x^2-x)/(x^5+2*x^4+3*x^3+3*x^2+2*x+1) ogf_with_Euler_transform] A262152 99.9999 Evaluated at exp(-Pi) 1/3*exp(7/24*Pi)*Pi^(1/4)*2^(13/24)/GAMMA(3/4)/GAMMA(5/6)^(1/2)*GAMMA(11/12)*(3^(1/2)-1) A262156 99.9999 Evaluated at exp(-Pi) 1/16*exp(13/24*Pi)*2^(1/8)*3^(1/2)*GAMMA(2/3)/GAMMA(3/4)^11/Pi^(1/2)*GAMMA(11/12)^5*GAMMA(7/12)^6 A262157 10.0698 [-(-2*x^3+x^2-x+2)/(x^5+x^3+x^2+1) ogf_with_Euler_transform] A262160 12.6278 [-(x^5-1)/(-x^7-x^6-x-1) ogf_with_Euler_transform] A262183 11.4906 [-x/(10*x-1)/(x-1)^4 ogf] A262183 13.7003 [-(50*x-14)/(10*x^2-11*x+1) lgdogf] A262183 4.62609 [{(n+2)*a(n+3)+(-25-11*n)*a(n+2)+(50+10*n)*a(n+1),a(0)=0,a(1)=1,a(2)=14} ogf] A262184 7.05701 [-(x^5+x^4-7*x^3+x^2+3*x-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A262221 12.5769 [-(x^2+48*x+26)/(x^3+22*x^2-22*x-1) lgdogf] A262221 13.7940 [-(x^2+23*x+1)/(x-1)^3 ogf] A262221 7.43676 [(31*f(x)-438)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+23*x+1) ogf] A262221 7.50199 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=26,a(2)=76} ogf] A262222 6.30536 [-(233*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-480)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A262229 8.21110 [-(791*x^19-791*x^18+x^5-x^4+75*x^3-75*x^2+9*x-10)/(x-1)^2 ogf] A262236 8.12092 [-(2*x^6-x^5-x^2+3*x-2)/(x-1)/(2*x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A262242 8.47502 [(240*x^6+28*x^5-70*x^4+24*x^3-2*x^2-12*x+3)/(2*x-1)/(4*x-1) ogf] A262258 10.3824 [(2*x^5+2*x^4-4*x^3-2*x^2+2*x+1)/(2*x^2-1)^2 ogf] A262258 8.00930 [-(4*x^6-2*x^4-4*x-2)/(-4*x^7-4*x^6+10*x^5+6*x^4-8*x^3-4*x^2+2*x+1) lgdogf] A262267 5.18614 [(17*f(x)+30)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2+2*x^3-3*f(x)*x-x^2+f(x)+2*x-2) ogf] A262267 9.36200 [-(2*x^3-x^2+2*x-2)/(2*x-1)/(x-1)/(x^2+1) ogf] A262268 4.17373 [-(32*x^7+8*x^6+20*x^5-10*x^4-29*x^3+x^2-8*x+4)/(x-1)/(4*x-1)/(2*x-1)/(x+1)/(4*x^2+1)/(x^2+1) ogf] A262303 5.07888 [-x^3*(x^40-2*x^35-2*x^25-x^20-2*x^15-x^10-x^5-1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^30-x^20-1) ogf] A262326 10.5755 [-(9*x^2+4*x-3)/(3*x-1)/(3*x^2-1) ogf] A262326 5.56123 [-(f(x)+22)*(9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+9*x^2+f(x)+4*x-3) ogf] A262326 5.70888 [{a(n+3)-3*a(n+2)-3*a(n+1)+9*a(n),a(0)=3,a(1)=5,a(2)=15} ogf] A262326 6.58269 [-(81*x^4+72*x^3-66*x^2+5)/(81*x^5+9*x^4-66*x^3+6*x^2+13*x-3) lgdogf] A262327 5.16801 [-(f(x)+94)*(54*f(x)*x^3-9*f(x)*x^2-6*f(x)*x+54*x^2+f(x)+21*x-6) ogf] A262327 5.34777 [{a(n+3)-6*a(n+2)-9*a(n+1)+54*a(n),a(0)=6,a(1)=15,a(2)=90} ogf] A262327 9.60927 [-3*(18*x^2+7*x-2)/(6*x-1)/(3*x-1)/(3*x+1) ogf] A262328 3.50843 [-(17732*x^6+16120*x^5-6687*x^4-2762*x^3+540*x^2+88*x-11)/(2*x+1)/(2*x-1)/(11*x-1)/(31*x^2-1)/(13*x^2-1) ogf] A262333 8.48087 [-(2*x^4-x^3+2*x-2)/(x-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A262334 3.24862 [-(64*x^10+16*x^9+24*x^8+32*x^7-22*x^6+3*x^5-61*x^4+x^3-8*x+4)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(4*x^2-2*x+1) ogf] A262342 12.3151 [-(2*x^2-15*x+10)/(x-1)/(x^2-7*x+1) ogf] A262342 6.25687 [-(12267*f(x)+3742)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+2*x^2-f(x)-15*x+10) ogf] A262342 6.68837 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=10,a(1)=65,a(2)=442} ogf] A262342 7.11790 [-(-2*x^4+30*x^3-134*x^2+156*x-65)/(-2*x^5+31*x^4-146*x^3+202*x^2-95*x+10) lgdogf] A262343 6.60725 [(3*x^10+x^9+9*x^8+6*x^7+5*x^6+9*x^5+15*x^4+2*x^3+9*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A262346 17.6099 [x/(-x^4-x^3+x+1) ogf_with_Euler_transform] A262352 27.8880 [-x^14+x ogf_with_Euler_transform] A262360 9.33823 [[2] ogf_with_Euler_transform] A262364 10.8725 [-(-x^3-x^2-x)/(-x^6-x^5+x+1) ogf_with_Euler_transform] A262380 19.7820 [-(-4*x-3)/(-x^2+1) ogf_with_Euler_transform] A262389 10.5815 [(x^2-x+2)*(x^2+2*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A262394 3.83626 [-27*f(x)^3*x^4+4*f(x)^3*x^3-54*f(x)^2*x^3+8*f(x)^2*x^2-36*f(x)*x^2+12*f(x)*x-f(x)-8*x+1 ogf] A262397 4.74258 [-x^3*(x^4+x^3+x^2+x+1)*(x^12-x^11+x^10-x^8+2*x^6-x^4+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^3/(x+1)^3 ogf] A262402 10.9775 [-(-12*x^3-56*x^2-86*x-38)/(-4*x^4-11*x^3-5*x^2+11*x+9) lgdogf] A262402 11.3742 [2*x*(4*x^2+11*x+9)/(x+1)/(x-1)^4 ogf] A262407 3.43698 [{(-16*n^2-16*n)*a(n)+(-6*n^2+4*n+16)*a(n+1)+(9*n^2+41*n+44)*a(n+2)+(-n^2-6*n-8)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A262414 10.2254 [-(-27*x^2+6*x+3)/(-9*x^3+3*x^2+3*x-1) lgdogf] A262414 14.7700 [4*x/(3*x-1)/(3*x^2-1) ogf] A262414 5.93439 [{-a(n+3)+3*a(n+2)+3*a(n+1)-9*a(n),a(0)=0,a(1)=4,a(2)=12} ogf] A262414 8.63184 [9*f(x)*x^3-3*f(x)*x^2-3*f(x)*x+f(x)-4*x ogf] A262415 4.96792 [-(17*f(x)+198)*(54*f(x)*x^3-9*f(x)*x^2-6*f(x)*x+54*x^2+f(x)-9*x-6) ogf] A262415 5.13922 [{a(n+3)-6*a(n+2)-9*a(n+1)+54*a(n),a(0)=6,a(1)=45,a(2)=270} ogf] A262415 9.46270 [-3*(18*x^2-3*x-2)/(6*x-1)/(3*x-1)/(3*x+1) ogf] A262416 4.19404 [6*x*(14*x^3-184*x^2+x+19)/(2*x+1)/(2*x-1)/(11*x-1)/(31*x^2-1)/(13*x^2-1) ogf] A262421 4.61314 [-(140*x^5-34*x^4-141*x^3+35*x^2+21*x-5)/(x-1)/(2*x+1)/(2*x-1)/(5*x-1)/(x+1)/(7*x^2-1) ogf] A262438 10.5339 [-(-15*x^16+16*x^15+1)/(x^17-x^16+x-1) lgdogf] A262438 18.5598 [-(x^16+1)/(x-1) ogf] A262440 3.65391 [3*f(x)^3*x^3+4*x^2*f(x)^3-3*f(x)^2*x^3+20*x*f(x)^3-4*f(x)^2*x^2-4*f(x)^3-20*f(x)^2*x+3*f(x)*x^2+4*f(x)^2+5*f(x)*x-x ogf] A262441 7.31871 [x^2*f(x)^3+f(x)^2*x^2-2*f(x)^2*x+f(x)*x^2+f(x)-1 ogf] A262450 9.67217 [-(2*x^4+x^3+x^2+x-2)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A262466 4.43840 [-(33*x^7-11*x^6+11*x^5-15*x^4-11*x^3+x^2-x+1)/(3*x-1)/(x-1)/(x^2+1)/(11*x^4-1) ogf] A262473 6.87497 [-(16*x^4+12*x^3-20*x^2-7*x+4)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A262480 4.11404 [{(n+3)*a(n+1)+(-n-3)*a(n+2)+(-n^2-5*n-4)*a(n+3)+(n^2+5*n+4)*a(n+4),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/3,a(4)=1/3} egf] A262482 8.12092 [-(2*x^7-x^6-x^3+3*x-2)/(2*x-1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A262489 7.52386 [-(x^4-x^3-10*x^2+11*x+7)/(x-1)/(x^4-10*x^2+1) ogf] A262490 11.9081 [-(x-3)^2/(x-1)/(x^2-6*x+1) ogf] A262490 6.15589 [(33457*f(x)+2660)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)-6*x+9) ogf] A262490 6.31647 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=9,a(1)=57,a(2)=337} ogf] A262490 8.54581 [-(-x^3+9*x^2-35*x+19)/(-x^4+10*x^3-28*x^2+22*x-3) lgdogf] A262491 5.54560 [-(10*x^8+33*x^6+77*x^5-3511*x^4+3234*x^3+429*x^2+77*x+43)/(x-1)/(x^8-394*x^4+1) ogf] A262492 5.54229 [-(12*x^8+13*x^6+65*x^5-1107*x^4+910*x^3+117*x^2+65*x+25)/(x-1)/(x^4+10*x^2-1)/(x^4-10*x^2-1) ogf] A262523 10.0457 [-x*(x+2)*(x+1)/(x^2+x+1)/(x-1)^3 ogf] A262523 8.21919 [-(-3*x^4-14*x^3-18*x^2-12*x-7)/(-x^5-3*x^4-2*x^3+x^2+3*x+2) lgdogf] A262543 13.9828 [-f(x)^2*x-4*f(x)*x+2*f(x)-4*x ogf] A262543 20.6247 [-2*x/(-x^2-4*x-4) revogf] A262543 8.68408 [{(-4*n-2)*a(n)+(n+2)*a(n+1),a(0)=0,a(1)=2} ogf] A262564 12.1296 [-(x^5-3*x^4+3*x^3-x^2+x-2)/(x-1)^2 ogf] A262565 10.0522 [-(x^2+1)*(2*x^2+x+2)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A262572 4.90152 [(121111020*x^9-230111010*x^8+98100000*x^7+9810000*x^6+981000*x^5+98100*x^4+9810*x^3+991*x^2+89*x-1)/(100*x-1)/(x-1)^2 ogf] A262573 4.90152 [(112111020*x^9-213011010*x^8+90810000*x^7+9081000*x^6+908100*x^5+90810*x^4+9091*x^3+899*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262574 4.90152 [(111211020*x^9-211301010*x^8+90081000*x^7+9008100*x^6+900810*x^5+90091*x^4+8999*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262575 4.90152 [(111121020*x^9-211130010*x^8+90008100*x^7+9000810*x^6+900091*x^5+89999*x^4+9000*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262576 4.90152 [(111112020*x^9-211112910*x^8+90000810*x^7+9000091*x^6+899999*x^5+90000*x^4+9000*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262577 4.90152 [(111111120*x^9-211111200*x^8+90000091*x^7+8999999*x^6+900000*x^5+90000*x^4+9000*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262578 4.90152 [(111111030*x^9-211111019*x^8+89999999*x^7+9000000*x^6+900000*x^5+90000*x^4+9000*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262579 4.90152 [(111111031*x^9-211111021*x^8+90000000*x^7+9000000*x^6+900000*x^5+90000*x^4+9000*x^3+900*x^2+90*x-1)/(100*x-1)/(x-1)^2 ogf] A262592 11.6886 [(2*x-1)^2/(3*x-1)/(x-1)^3 ogf] A262592 12.5741 [-(-12*x^2+8*x-2)/(-6*x^3+11*x^2-6*x+1) lgdogf] A262592 4.12882 [{(n+4)*a(n+4)+(-20-6*n)*a(n+3)+(30+11*n)*a(n+2)+(-6*n-18)*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A262592 6.23979 [(43*f(x)-21)*(3*f(x)*x^4-10*f(x)*x^3+12*f(x)*x^2-6*f(x)*x-4*x^2+f(x)+4*x-1) ogf] A262593 12.8661 [-(-24*x^2-x+1)/(-12*x^3+19*x^2-8*x+1) lgdogf] A262593 4.28870 [{(-n-4)*a(n+4)+(23+8*n)*a(n+3)+(-37-19*n)*a(n+2)+(36+12*n)*a(n+1),a(0)=1,a(1)=-1,a(2)=-3,a(3)=-1} ogf] A262593 9.57810 [(3*x-1)^3/(4*x-1)/(x-1)^4 ogf] A262594 11.2462 [-(2*x-1)^2/(4*x-1)/(x-1)^4 ogf] A262594 13.4283 [-(-24*x^2+16*x-4)/(-8*x^3+14*x^2-7*x+1) lgdogf] A262594 4.45393 [{(n+4)*a(n+4)+(-25-7*n)*a(n+3)+(44+14*n)*a(n+2)+(-32-8*n)*a(n+1),a(0)=1,a(1)=4,a(2)=14,a(3)=52} ogf] A262600 14.0377 [x^4/(3*x-1)/(x-1)/(x^2-3*x+1) ogf] A262600 6.71367 [f(x)*(3*f(x)*x^4-13*f(x)*x^3-x^4+16*f(x)*x^2-7*f(x)*x+f(x)) ogf] A262600 9.08320 [-(-12*x^3+39*x^2-32*x+7)/(-3*x^4+13*x^3-16*x^2+7*x-1) lgdogf] A262601 4.96002 [{(n^3+9*n^2+26*n+24)*a(n+1)+(-n^2-9*n-20)*a(n+2)+a(n+3),a(0)=1,a(1)=6,a(2)=66} ogf] A262602 9.21283 [-(x^6+x^5+x^4+2*x^3+2*x^2+1)/(x^2+1)/(x^5-x^3+x^2+x-1) ogf] A262607 4.86463 [-f(x)^2*x^3+6*f(x)^2*x^2-2*f(x)*x^3-f(x)^2*x+13*f(x)*x^2-8*f(x)*x+f(x)+6*x-1 ogf] A262614 10.0986 [-(x^5+2*x^4-x^3+3*x^2-x+2)/(-x^6+1) ogf_with_Euler_transform] A262664 4.99755 [5*f(x)^2*x^3-16*f(x)^2*x^2+13*f(x)^2*x+10*f(x)*x^2-2*f(x)^2-12*f(x)*x+2*f(x)+x ogf] A262667 13.9095 [-(x^3-2*x-2)/(x^4-2*x^2+1) ogf_with_Euler_transform] A262672 13.3637 [-(x^3+x-3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A262699 12.7868 [(x-1)*(2*x^4+2*x^3+3*x^2+3*x+1)/(2*x^2-1) ogf] A262699 8.18928 [-(-12*x^6+8*x^4-x^2-4*x-2)/(4*x^7-5*x^3-2*x^2+2*x+1) lgdogf] A262709 3.83695 [-(-2*x^9+x^8-x^7-x^6-2*x^5+x^4-2*x^3-x^2+x-1)/(x^10-x^9+x^8-x^2+x-1) ogf_with_Euler_transform] A262710 13.8040 [{-a(n+1)-4*a(n),a(0)=1} ogf] A262710 17.5075 [4*f(x)*x+f(x)-1 ogf] A262710 25.6361 [-4/(4*x+1) lgdogf] A262710 28.7124 [1/(4*x+1) ogf] A262711 5.61406 [-(549*x^11+10*x^10+90*x^9+80*x^8+270*x^7+109*x^6+50*x^5+49*x^4+40*x^3+32*x^2+5*x+4)/(10*x^6-1) ogf] A262715 10.4818 [{a(n+1)-841*a(n),a(0)=29} ogf] A262715 13.1022 [-841*f(x)*x+f(x)-29 ogf] A262715 20.5892 [-29/(841*x-1) ogf] A262716 10.7077 [{a(n+1)-961*a(n),a(0)=31} ogf] A262716 13.3846 [-961*f(x)*x+f(x)-31 ogf] A262716 21.0330 [-31/(961*x-1) ogf] A262717 6.05732 [27*x^2*f(x)^3-4*x*f(x)^3-32*f(x)*x^2+8*x^3-2*f(x)*x+4*x^2+f(x)+6*x-1 ogf] A262721 5.99443 [(99*x^9-1106*x^8-2204*x^7-1418*x^6-111211*x^5-1811*x^4-1215*x^3-14*x^2-11*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A262726 6.38370 [-(2*x^7+2*x^6-x^5+x+2)/(-x^8+x^6-x^2+1) ogf_with_Euler_transform] A262732 3.60694 [{(12500*n^4+100000*n^3+290000*n^2+360000*n+161280)*a(n+1)+(-27*n^4-243*n^3-798*n^2-1128*n-576)*a(n+3),a(0)=1,a(1)=8,a(2)=126} ogf] A262734 9.09443 [-(2*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^8+1) ogf] A262735 10.3858 [-x*(x^2+x-1)/(x-1)/(x^3+2*x^2+x-1) ogf] A262735 6.83034 [-f(x)*x^4-f(x)*x^3+f(x)*x^2-x^3+2*f(x)*x-x^2-f(x)+x ogf] A262735 7.58167 [-(2*x^5+4*x^4-2*x^3-2*x^2+1)/(x^6+2*x^5-x^4-4*x^3+3*x-1) lgdogf] A262736 10.1379 [-(-x^6+x^5-3*x^4-3*x^2+x-1)/(x^8-2*x^4+1) ogf_with_Euler_transform] A262737 7.36110 [-(-x^4+3*x^3-3*x^2+x)/(-x^5-5*x^4-10*x^3-10*x^2-5*x-1) revogf] A262738 5.93697 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^6+6*x^5+15*x^4+20*x^3+15*x^2+6*x+1) revogf] A262739 7.58788 [-(-x^6+5*x^5-10*x^4+10*x^3-5*x^2+x)/(-x^7-7*x^6-21*x^5-35*x^4-35*x^3-21*x^2-7*x-1) revogf] A262753 5.69857 [-(32*x^6+24*x^5+24*x^4-36*x^3-11*x^2-7*x+4)/(2*x-1)/(4*x-1)/(x-1)/(x^2+x+1)/(4*x^2+2*x+1) ogf] A262768 5.46282 [-4*f(x)^2*x^3+f(x)^2*x^2+4*f(x)*x^3-x^4-f(x)*x^2-4*x^3-4*f(x)*x-4*x^2+f(x) ogf] A262770 10.4218 [-(-4*x^8-8*x^7-12*x^6-16*x^5-14*x^4-15*x^3-11*x^2-7*x-3)/(-2*x^9-2*x^8-2*x^7-2*x^6-x^5+2*x^4+2*x^3+2*x^2+2*x+1) lgdogf] A262771 8.59501 [-(x^10+x^9+x^6+x^4+x+1)/(-x^12+1) ogf_with_Euler_transform] A262773 10.4346 [x*(x^4+2*x^3+2*x^2+2*x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A262774 6.13485 [-(-2*x^7-x^5-2*x^4-2*x^2+x)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A262779 11.5448 [(x^2+9*x+1)/(100*x-1)/(x-1) ogf] A262779 5.87550 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=110,a(2)=11011} ogf] A262779 6.58056 [(27+248*f(x))*(100*f(x)*x^2-101*f(x)*x-x^2+f(x)-9*x-1) ogf] A262779 7.65181 [-(-1001*x^2-198*x+110)/(-100*x^4-799*x^3+808*x^2+92*x-1) lgdogf] A262786 10.9159 [{a(n+1)-1369*a(n),a(0)=37} ogf] A262786 13.5842 [-1369*f(x)*x+f(x)-37 ogf] A262786 21.0789 [-37/(1369*x-1) ogf] A262787 11.2265 [{a(n+1)-1681*a(n),a(0)=41} ogf] A262787 13.9707 [-1681*f(x)*x+f(x)-41 ogf] A262787 21.6787 [-41/(1681*x-1) ogf] A262789 3.75299 [-(288*x^7-184*x^6+84*x^5-42*x^4-285*x^3+193*x^2-72*x+36)/(x-1)/(4*x-1)/(2*x-1)/(x+1)/(4*x^2+1)/(x^2+1) ogf] A262803 19.6845 [2/(x^3-x^2-x+1) ogf_with_Euler_transform] A262811 15.1345 [-(x^2+1)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A262860 4.88715 [(1024*x^8+512*x^7-1536*x^6+192*x^5+64*x^4+8*x^3-8*x^2-1)/(x-1)/(4*x-1)/(2*x-1)/(4*x+1)/(4*x^2+2*x+1)/(16*x^2+1) ogf] A262861 4.83865 [(269407119786200*f(x)-17825208659751061)*(10000*f(x)*x^4-10001*f(x)*x^2-1000*x^3+f(x)-101*x-1) ogf] A262861 9.40080 [(1000*x^3+101*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A262862 12.2208 [(8*x^3+5*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A262862 6.80215 [(177624*f(x)-1252709)*(16*f(x)*x^4-17*f(x)*x^2-8*x^3+f(x)-5*x-1) ogf] A262863 4.59214 [{-a(n+4)+11*a(n+3)-11*a(n+2)+11*a(n+1)-10*a(n),a(0)=1,a(1)=10,a(2)=100,a(3)=1001} ogf] A262863 4.6846 [-(9110011*f(x)+1659920)*(10*f(x)*x^4-11*f(x)*x^3+11*f(x)*x^2-11*f(x)*x-x^2+f(x)+x-1) ogf] A262863 9.56171 [(x^2-x+1)/(x-1)/(10*x-1)/(x^2+1) ogf] A262864 11.5501 [(x^2-x+1)/(2*x-1)/(x-1)/(x^2+1) ogf] A262864 5.61237 [{-a(n+4)+3*a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A262864 6.03756 [(115*f(x)+96)*(2*f(x)*x^4-3*f(x)*x^3+3*f(x)*x^2-3*f(x)*x-x^2+f(x)+x-1) ogf] A262876 21.9975 [x/(x^6-2*x^3+1) ogf_with_Euler_transform] A262877 22.4148 [-1/(-x^6+2*x^3-1) ogf_with_Euler_transform] A262878 11.5516 [-(-x^7-2*x^4+x^3-x)/(x^12-2*x^6+1) ogf_with_Euler_transform] A262879 12.3863 [-(-x^6-2*x^3+x-1)/(x^12-2*x^6+1) ogf_with_Euler_transform] A262883 16.6041 [-(-x-1)/(x^6-2*x^3+1) ogf_with_Euler_transform] A262884 10.4721 [-(x^7+x^6+2*x^4+x^3+1)/(-x^12+2*x^6-1) ogf_with_Euler_transform] A262910 3.46397 [-4*f(x)^3*x^3+4*x^2*f(x)^3+4*f(x)^2*x^3-36*x*f(x)^3-4*f(x)^2*x^2-f(x)*x^3+5*f(x)^3+36*f(x)^2*x+3*f(x)*x^2-5*f(x)^2-10*f(x)*x-x^2 ogf] A262918 3.64632 [-(910*x^7+273*x^6-1510*x^5+139*x^4+402*x^3-65*x^2-26*x+5)/(x-1)/(2*x-1)/(5*x-1)/(x+1)/(13*x^2-1)/(7*x^2-1) ogf] A262922 8.36544 [-(x^6+x^5+x^3-6*x^2-4*x-1)/(x+1)/(x^2+1)^2/(x-1)^2 ogf] A262923 12.5688 [-(x^4+2*x^3+2*x+1)/(-x^6+2*x^3-1) ogf_with_Euler_transform] A262925 6.62339 [x*(16*x^4+241*x^3+395*x^2+91*x+1)/(x-1)^6 ogf] A262927 6.24336 [-x*(x^8+2*x^7-x^6+3*x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A262928 14.8261 [-(-x^4+x^3-x)/(-x^6+1) ogf_with_Euler_transform] A262929 6.82352 [-(2*x^6+x^5+x^3+2*x^2)/(-x^10-x^6+x^4+1) ogf_with_Euler_transform] A262930 99.9999 Evaluated at exp(-Pi) Pi^(1/3)*3^(2/3)/GAMMA(2/3)^(2/3)/GAMMA(3/4)^(2/3)/(2^(1/2)*(1+3^(1/2)))^(2/3)*GAMMA(11/12)^(2/3) A262933 7.95024 [-(x^4-2*x^3+2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A262938 5.67777 [-(2*x^10+x^9+2*x^8+x^7+2*x^6-x^5+2*x^4+x^3+2*x^2+x+2)/(-x^12+1) ogf_with_Euler_transform] A262946 15.3703 [-(-x^4-2*x)/(x^6-2*x^3+1) ogf_with_Euler_transform] A262947 15.2082 [-(2*x^3+1)/(-x^6+2*x^3-1) ogf_with_Euler_transform] A262948 9.24921 [-(x^10-x^9+4*x^7+5*x^4-2*x^3+2*x)/(-x^12+2*x^6-1) ogf_with_Euler_transform] A262949 9.81318 [-(2*x^9-2*x^7+5*x^6+4*x^3-x+1)/(-x^12+2*x^6-1) ogf_with_Euler_transform] A262950 13.1020 [-(-x^18+x^12-x^4-1)/(-x^6+1) ogf_with_Euler_transform] A262952 8.91210 [-(2*x^6-2*x^5+3*x^4-x^3+2*x^2+1)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A262953 9.31710 [-(x^6+2*x^4-x^3+3*x^2-2*x+2)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A262967 7.88204 [-(-2*x^5+2*x^4-3*x^3+2*x^2-2*x)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A262977 5.42052 [{(-256*n^3-384*n^2-176*n-24)*a(n)+(27*n^3+54*n^2+33*n+6)*a(n+1),a(0)=1,a(1)=3} ogf] A262984 12.0467 [-(-2*x^6-x^3-2)/(-x^8+x^6-x^2+1) ogf_with_Euler_transform] A262997 9.25766 [-x*(x+1)*(3*x^2+4*x+5)/(x^2+x+1)/(x-1)^3 ogf] A263002 14.1401 [-(2*x^3+2*x^2+2*x+2)/(x^5-1) ogf_with_Euler_transform] A263013 11.7086 [-x^2+x-1+f(x) ogf] A263013 12.3856 [-x^5+x^2+x-1 ogf_with_Euler_transform] A263013 6.60968 [{a(n+3),a(0)=1,a(1)=-1,a(2)=1} ogf] A263021 8.82980 [-(-4*x^4-2*x^3-x^2-3*x-2)/(x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A263041 10.6840 [-(-x^3-2*x^2+4*x-3)/(x^4-x^3+x-1) ogf_with_Euler_transform] A263042 6.79760 [-x*(15*x^9-2*x^8-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-2*x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A263053 11.2503 [-(-12*x^2+8*x+1)/(-4*x^3+4*x^2+x-1) lgdogf] A263053 17.8359 [2/(2*x-1)/(2*x+1)/(x-1) ogf] A263053 6.47142 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=2,a(1)=2,a(2)=10} ogf] A263053 7.38657 [(3*f(x)+4)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+f(x)-2) ogf] A263054 4.29687 [-(140*x^6-28*x^5-193*x^4+91*x^3+47*x^2-23*x-2)/(x-1)/(2*x+1)/(2*x-1)/(5*x-1)/(x+1)/(7*x^2-1) ogf] A263055 3.47297 [-2*(2400*x^5-400*x^4+22*x^3-123*x^2+16*x+5)/(x-1)/(5*x+1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(5*x-1)/(10*x-1) ogf] A263081 6.38288 [124340*(1227983*x^37+1227983*x^36-6217*x^6-6217*x^5-6217*x^4-6217*x^3-6217*x^2-6217*x-6217)/(1227983*x^36+6217*x^7-6217) ogf] A263119 8.65268 [-(14*x^4-x^3-x^2-x-14)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A263134 3.57040 [{(-27*n^2-162*n-240)*a(n+1)+(31*n^2+188*n+282)*a(n+2)+(-4*n^2-26*n-42)*a(n+3),a(0)=1,a(1)=5,a(2)=26} ogf] A263136 21.7996 [x^2/(x^8-2*x^4+1) ogf_with_Euler_transform] A263137 22.4245 [-1/(-x^8+2*x^4-1) ogf_with_Euler_transform] A263138 10.3140 [-(x^10+2*x^6-x^5+x^2)/(-x^16+2*x^8-1) ogf_with_Euler_transform] A263139 11.9728 [-(-x^8-2*x^4+x-1)/(x^16-2*x^8+1) ogf_with_Euler_transform] A263140 12.6856 [-(x^4+2*x^2-x+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A263141 20.7277 [x^3/(x^10-2*x^5+1) ogf_with_Euler_transform] A263142 20.7157 [x^2/(x^10-2*x^5+1) ogf_with_Euler_transform] A263143 21.5280 [x/(x^10-2*x^5+1) ogf_with_Euler_transform] A263144 21.7048 [-1/(-x^10+2*x^5-1) ogf_with_Euler_transform] A263145 9.50322 [-(-x^13-2*x^8+x^7-x^3)/(x^20-2*x^10+1) ogf_with_Euler_transform] A263146 9.74959 [-(x^12+2*x^7-x^5+x^2)/(-x^20+2*x^10-1) ogf_with_Euler_transform] A263147 10.3365 [-(x^11+2*x^6-x^3+x)/(-x^20+2*x^10-1) ogf_with_Euler_transform] A263148 11.1112 [-(x^10+2*x^5-x+1)/(-x^20+2*x^10-1) ogf_with_Euler_transform] A263149 11.0418 [-(x^6-x^5+2*x^4+x^2)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A263150 21.4632 [x^2/(x^4-2*x^2+1) ogf_with_Euler_transform] A263173 9.25140 [-(6*x^3-9*x^2-15*x-3)/(x^4-2*x^3-5*x^2-2*x+1) lgdogf] A263199 13.7911 [-(x^4-3*x^2)/(x^4-2*x^2+1) ogf_with_Euler_transform] A263200 10.8895 [-(-2*x^2+14*x-26)/(-2*x^3+15*x^2-30*x+7) lgdogf] A263200 16.0975 [-4*(2*x-7)/(x^2-4*x+1) ogf] A263200 8.04877 [-(45*f(x)+92)*(f(x)*x^2-4*f(x)*x+f(x)+8*x-28) ogf] A263200 8.71160 [{a(n+2)-4*a(n+1)+a(n),a(0)=28,a(1)=104} ogf] A263226 14.1369 [-2*x*(1+14*x)/(x-1)^3 ogf] A263226 15.7681 [-(-28*x-17)/(-14*x^2+13*x+1) lgdogf] A263226 6.77638 [-(83025*f(x)-813616)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)+2*x) ogf] A263226 7.32091 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=34} ogf] A263227 13.7843 [-x*(78*x-11)/(x-1)^3 ogf] A263227 15.0606 [-(-156*x-45)/(-78*x^2+89*x-11) lgdogf] A263227 6.35369 [-(24424649*f(x)-579850068)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+78*x^2-f(x)-11*x) ogf] A263227 7.19710 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=-11,a(2)=45} ogf] A263228 13.8939 [-2*x*(29*x+3)/(x-1)^3 ogf] A263228 15.4970 [-(-58*x-38)/(-29*x^2+26*x+3) lgdogf] A263228 6.65988 [(1783296*f(x)-37025555)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+58*x^2-f(x)+6*x) ogf] A263228 7.19504 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=76} ogf] A263229 14.4210 [-4*x*(47*x-5)/(x-1)^3 ogf] A263229 16.6397 [-(-94*x-32)/(-47*x^2+52*x-5) lgdogf] A263229 6.75986 [-(1996407*f(x)-116787577)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+188*x^2-f(x)-20*x) ogf] A263229 7.59002 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=-20,a(2)=128} ogf] A263231 12.9335 [-x*(32*x-7)/(x-1)^3 ogf] A263231 14.4258 [-(-64*x-11)/(-32*x^2+39*x-7) lgdogf] A263231 6.09871 [-(413125*f(x)-3812859)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+32*x^2-f(x)-7*x) ogf] A263231 6.69769 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=-7,a(2)=11} ogf] A263244 4.19144 [(40243834422968*f(x)+571129295281)*(10000*f(x)*x^3-10000*f(x)*x^2-1100*x^3-f(x)*x+90*x^2+f(x)-100*x-1) ogf] A263244 4.32932 [{-a(n+4)+a(n+3)+10000*a(n+2)-10000*a(n+1),a(0)=1,a(1)=101,a(2)=10011,a(3)=1011111} ogf] A263244 7.92839 [(1100*x^3-90*x^2+100*x+1)/(100*x+1)/(100*x-1)/(x-1) ogf] A263245 10.0590 [(12*x^3-2*x^2+4*x+1)/(4*x+1)/(4*x-1)/(x-1) ogf] A263245 5.32535 [{-a(n+4)+a(n+3)+16*a(n+2)-16*a(n+1),a(0)=1,a(1)=5,a(2)=19,a(3)=95} ogf] A263245 5.65818 [(2617+5040*f(x))*(16*f(x)*x^3-16*f(x)*x^2-12*x^3-f(x)*x+2*x^2+f(x)-4*x-1) ogf] A263313 10.5390 [(2*x^4+x^3+x^2-3*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A263316 6.80736 [-f(x)^2*x^3-2*f(x)^2*x^2-f(x)^2*x+2*f(x)*x^2+f(x)*x+f(x)-1 ogf] A263318 4.11645 [-x*(x^4-x^3+3*x^2-x+1)/(x^2+x+1)^3/(x-1)^9 ogf] A263334 5.30087 [(1010*f(x)-25383)*(3*f(x)*x^4-f(x)*x^3+3*x^3-3*f(x)*x+2*x^2+f(x)+2*x-3) ogf] A263334 9.67986 [-(3*x^3+2*x^2+2*x-3)/(3*x-1)/(x-1)/(x^2+x+1) ogf] A263346 10.8822 [-(-x^4-2*x^3-2*x^2-2*x-1)/(x^6-2*x^3+1) ogf_with_Euler_transform] A263352 19.6457 [-x^4/(-x^4+2*x^2-1) ogf_with_Euler_transform] A263358 22.0589 [-x^2/(-x^2+2*x-1) ogf_with_Euler_transform] A263359 21.6054 [-x^3/(-x^2+2*x-1) ogf_with_Euler_transform] A263360 21.4360 [-x^4/(-x^2+2*x-1) ogf_with_Euler_transform] A263361 21.6680 [-x^5/(-x^2+2*x-1) ogf_with_Euler_transform] A263362 21.6782 [-x^6/(-x^2+2*x-1) ogf_with_Euler_transform] A263363 21.0377 [-x^7/(-x^2+2*x-1) ogf_with_Euler_transform] A263364 21.4542 [-x^8/(-x^2+2*x-1) ogf_with_Euler_transform] A263366 6.98802 [-(2*x^5-x^4+x^3-2*x^2+2*x-1)/(2*x-1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A263375 4.47989 [-(27*x^8+18*x^7-5*x^6-8*x^5-x^4+4*x^3-7*x^2-2*x+2)/(3*x-1)/(3*x^2-1)/(3*x^6-1) ogf] A263395 19.0147 [-x^6/(-x^4+2*x^2-1) ogf_with_Euler_transform] A263396 18.7496 [-x^8/(-x^4+2*x^2-1) ogf_with_Euler_transform] A263397 17.7563 [-x^10/(-x^4+2*x^2-1) ogf_with_Euler_transform] A263398 8.08974 [-(-5*x^7-2*x^6-3*x^5+4*x^3-8*x-2)/(x^8-x^6+x^2-1) ogf_with_Euler_transform] A263405 21.5094 [x^3/(x^6-2*x^3+1) ogf_with_Euler_transform] A263406 21.2463 [x^4/(x^6-2*x^3+1) ogf_with_Euler_transform] A263408 2.50499 [(f(x)*x-f(x)+1)^2 ogf] A263414 18.5936 [-x^6/(-x^6+2*x^3-1) ogf_with_Euler_transform] A263415 18.6320 [-x^7/(-x^6+2*x^3-1) ogf_with_Euler_transform] A263418 10.4352 [-(x^3+5*x^2+3*x+1)/(x^2+x-1)/(x-1)^2 ogf] A263418 4.31994 [{(5*n+17)*a(n+1)+5*a(n+2)+(-10*n-29)*a(n+3)+(5*n+12)*a(n+4),a(0)=1,a(1)=6,a(2)=21,a(3)=51} ogf] A263418 5.73935 [(235*f(x)+17)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+x^3+3*f(x)*x+5*x^2-f(x)+3*x+1) ogf] A263426 10.5390 [(x^3+2*x^2-3*x+2)/(x-1)^2/(x^2+1) ogf] A263426 5.88048 [(8*f(x)+29)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)+3*x-2) ogf] A263434 5.36620 [-(2*x^12+x^11-25*x^8-7*x^7+12*x^4+2*x^3-1)/(2*x-1)/(x^6-4*x^4+x^2+1)/(x^6+4*x^4+x^2-1) ogf] A263444 5.03298 [-(-3*x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-5*x^5+2*x^4-2*x^3+2*x^2-2*x+2)/(x^12-1) ogf_with_Euler_transform] A263449 10.6482 [(2*x^3-3*x^2+2*x+1)/(x-1)^2/(x^2+1) ogf] A263449 5.73367 [-(27*f(x)+73)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x+3*x^2+f(x)-2*x-1) ogf] A263452 6.95567 [-(-3*x^13-2*x^12-x^11-2*x-1)/(x^14+x^13+x^12+x^2+x+1) ogf_with_Euler_transform] A263459 8.10389 [-(3*x^5+2*x^4+x^3+x^2+3*x-2)/(3*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A263473 4.27889 [-(235*x^7-205*x^6-161*x^5-57*x^4+33*x^3-15*x^2+3*x-1)/(x-1)^10 ogf] A263479 4.79446 [(235*x^7-205*x^6-161*x^5-57*x^4+33*x^3-15*x^2+3*x-1)/(x-1)^9 ogf] A263501 9.39071 [-(3*x^3+5*x^2+6*x+2)/(-x^4-x^3+x+1) ogf_with_Euler_transform] A263502 5.91037 [-(-3*x^7+2*x^6-9*x^5+4*x^4-10*x^3+4*x^2-6*x+2)/(x^8+x^6-x^2-1) ogf_with_Euler_transform] A263502 99.9999 Evaluated at exp(-Pi) 1/8*Pi^(7/12)*3^(1/6)*GAMMA(2/3)^(1/3)/GAMMA(3/4)^(2/3)*(2^(1/2)*(1+3^(1/2)))^(4/3)/GAMMA(11/12)^(4/3)*2^(1/2)*(3^(1/2)-1)/GAMMA(7/12) A263511 13.3393 [-(2*x^3+x+1)/(x+1)/(x-1)^3 ogf] A263511 7.01466 [(736*f(x)+1319)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-f(x)+x+1) ogf] A263511 9.24659 [-(-2*x^4-4*x^3-9*x^2-6*x-3)/(-2*x^5+x^3-x^2+x+1) lgdogf] A263520 3.74467 [-(x^9-14*x^7-6*x^6+31*x^5+7*x^4-37*x^3-3*x^2+21*x-8)/(x^2-4*x+1)/(x^2+2*x-1)/(x^2+x-1)/(x-1)^2/(x+1)^2 ogf] A263526 99.9999 Evaluated at exp(-Pi) 4*exp(-1/3*Pi)*GAMMA(3/4)^6/GAMMA(11/12)^3/GAMMA(7/12)^3 A263527 10.3337 [-(-3*x^5+x^3-2*x^2+x)/(x^6-1) ogf_with_Euler_transform] A263528 12.4781 [-(2*x^4-2*x^3+8*x^2-2*x+2)/(x^6-1) ogf_with_Euler_transform] A263529 4.67410 [{(n+2)*a(n+1)+(-n-3)*a(n+2)+a(n+4)-2*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=13} ogf] A263536 13.5873 [(5*x^2+2*x+5)/(x^2+x+1)/(x-1)^2 ogf] A263536 4.99292 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=5,a(1)=7,a(2)=12,a(3)=17} ogf] A263536 7.08398 [-(9*f(x)-178)*(f(x)*x^4-f(x)*x^3-f(x)*x-5*x^2+f(x)-2*x-5) ogf] A263536 8.28825 [-(-10*x^4-11*x^3-27*x^2-17*x-7)/(-5*x^5-2*x^4-5*x^3+5*x^2+2*x+5) lgdogf] A263537 10.1309 [(x^5+5*x^4+11*x^3+11*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A263551 10.1775 [-2*(4*x^2+3*x-2)/(4*x-1)/(2*x^2-1) ogf] A263551 5.30622 [-(29*f(x)+84)*(8*f(x)*x^3-2*f(x)*x^2-4*f(x)*x+8*x^2+f(x)+6*x-4) ogf] A263551 5.44585 [{a(n+3)-4*a(n+2)-2*a(n+1)+8*a(n),a(0)=4,a(1)=10,a(2)=40} ogf] A263571 99.9999 Evaluated at exp(-Pi) 1/48*exp(1/3*Pi)/Pi^(1/2)*2^(1/4)*3^(1/2)/GAMMA(2/3)/GAMMA(7/8)^3*GAMMA(5/8)^3*GAMMA(11/12)*(2+2^(1/2))^2*(3^(1/2)-1) A263582 9.14233 [-(4*x^3-2*x^2-1)/(8*x^5-4*x^4-2*x^3-4*x+1) ogf] A263587 5.24001 [(2*x^8+5*x^7+8*x^6+7*x^5+13*x^4+11*x^3-7*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x^2+x-1)^2 ogf] A263592 5.06093 [-(x^7+x^6-x^5-3*x^4-x^3-3*x^2-x-1)/(x^8+x^7-4*x^5-2*x^4-7*x^3-x^2-x+1) ogf] A263598 5.1087 [(4443*f(x)-2579)*(4*f(x)*x^4+4*f(x)*x^3+4*x^3+2*f(x)*x+8*x^2-f(x)+4*x+2) ogf] A263598 9.25490 [-2*(2*x^3+4*x^2+2*x+1)/(2*x^2+2*x-1)/(2*x^2+1) ogf] A263603 6.29922 [-(2*x^7+3*x^6+4*x^5+7*x^4-x^3+x+2)/(x^2+1)/(x^2+x-1)/(x-1)^2 ogf] A263613 5.44306 [-x*(7000000*x^4-6446000*x^3+336330*x^2-220*x-1)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A263614 9.28050 [x^2*(2*x+1)*(2*x^4-2*x^2+1)/(x-1)^4/(x+1)^4 ogf] A263615 6.65876 [(x^7-4*x^5-4*x^4+4*x^3+4*x^2-2*x-2)/(x+1)^4/(x-1)^5 ogf] A263622 11.3827 [x*(3*x^2-3*x+1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A263622 4.40052 [{6*a(n)*n+(-11*n+6)*a(n+1)+(6*n-5)*a(n+2)+(-n+1)*a(n+3),a(0)=0,a(1)=1,a(2)=4,a(3)=14,a(4)=47} ogf] A263622 6.05461 [-(23*f(x)+11)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-3*x^3-7*f(x)*x+3*x^2+f(x)-x) ogf] A263622 8.20866 [-(36*x^4-69*x^3+57*x^2-24*x+4)/(18*x^5-51*x^4+57*x^3-32*x^2+9*x-1) lgdogf] A263637 7.46669 [(x^2-x-1)*(x^6+x^5-2*x^3-3*x^2-x-1)/(x^5-x^3-2*x^2+1) ogf] A263656 3.74151 [f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)*x^4-f(x)^2*x^2-4*f(x)*x^3-8*x^4-2*f(x)^2*x-2*f(x)*x^2+4*x^3+f(x)^2-4*f(x)*x-8*x^2+2*f(x) ogf] A263660 12.0180 [(x+1)*(2*x^2+1)*(x^2-x-1)/(2*x^2-1) ogf] A263660 7.89064 [-(12*x^6-16*x^4+13*x^2+8*x+2)/(-4*x^7+8*x^5+4*x^4+x^3-2*x-1) lgdogf] A263661 6.28759 [(x+1)*(2*x^10-2*x^9-x^8+x^7+6*x^6-2*x^5-4*x^4-4*x^3-x-1)/(2*x^4+3*x^2-1) ogf] A263688 5.20358 [{(-n^2-2*n+1)*a(n+1)+(2*n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A263689 7.30278 [-(2*x^6+20*x^5+81*x^4+6*x^3+16*x^2-6*x+1)/(x-1)^7 ogf] A263691 5.97131 [(x^11+2*x^10+x^9+2*x^7+8*x^5+5*x^4-7*x^3-3*x^2-x-1)/(x^4-x^3+x^2+x-1) ogf] A263692 5.60153 [(4*x^11+4*x^10-2*x^9+8*x^7-6*x^6+20*x^5+11*x^4-17*x^3-3*x^2-x-1)/(x^4-x^3+x^2+x-1) ogf] A263694 8.67459 [(3*x^8-x^7-x^6-x^5+4*x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A263710 7.35900 [-(x^2-x+1)*(x^4+x^3+2*x^2+2*x+1)/(x^7-x^6+2*x^5-x^4+x^3+x-1) ogf] A263711 3.71666 [(4*x^17+9*x^15-6*x^14+2*x^13-9*x^12+5*x^11+x^10+19*x^9+9*x^8+21*x^7+6*x^6+3*x^5-16*x^4-7*x^3-4*x^2-x-1)/(x^7-x^6+2*x^5-x^4+x^3+x-1) ogf] A263766 5.96154 [{(n^2+4*n+2)*a(n+1)-a(n+2),a(0)=1,a(1)=-1} ogf] A263772 15.5290 [-(-9*x+11)/(-x^3-6*x^2+16*x-9) lgdogf] A263772 16.9940 [-(x^2+7*x-9)/(x-1)^2 ogf] A263772 8.66040 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=9,a(1)=11,a(2)=12} ogf] A263772 9.48085 [(2*f(x)+103)*(f(x)*x^2-2*f(x)*x+x^2+f(x)+7*x-9) ogf] A263773 99.9999 Evaluated at exp(-Pi) Pi^(4/3)*3^(2/3)/GAMMA(2/3)^(2/3)/GAMMA(3/4)^(14/3)/(2^(1/2)*(1+3^(1/2)))^(2/3)*GAMMA(11/12)^(2/3) A263790 12.0540 [-(2*x^3+3*x-1)/(x^4-2*x^3+2*x^2-4*x+1) ogf] A263790 6.44746 [(2*f(x)+5)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+2*x^3-4*f(x)*x+f(x)+3*x-1) ogf] A263790 7.23237 [-(-2*x^6-5*x^4-6*x^2+4*x-1)/(-2*x^7+4*x^6-7*x^5+15*x^4-10*x^3+14*x^2-7*x+1) lgdogf] A263794 7.94011 [-(x^6-4*x^4+5*x^2-3)/(x+1)^3/(x-1)^4 ogf] A263801 4.79767 [{(2*n+5)*a(n+1)+(-2*n-4)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=3} ogf] A263805 3.05171 [(121905508195559*f(x)-110801085606600)*(100000*f(x)*x^4-110000*f(x)*x^3-100000*x^4+9990*f(x)*x^2+100000*x^3+11*f(x)*x-10000*x^2-f(x)+1) ogf] A263805 5.51548 [(100000*x^4-100000*x^3+10000*x^2-1)/(x-1)/(100*x-1)/(100*x+1)/(10*x-1) ogf] A263806 4.84483 [(5625*f(x)+39016)*(32*f(x)*x^4-48*f(x)*x^3-32*x^4+14*f(x)*x^2+32*x^3+3*f(x)*x-16*x^2-f(x)+1) ogf] A263806 8.57592 [(32*x^4-32*x^3+16*x^2-1)/(x-1)/(4*x-1)/(2*x-1)/(4*x+1) ogf] A263807 10.2228 [-(-x^4-2*x^3-6*x^2-6*x-3)/(-x^5-x^2+x+1) lgdogf] A263807 13.4069 [-(x^3+x+1)/(x+1)/(x-1)^3 ogf] A263807 6.87243 [-(648*f(x)-869)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-f(x)+x+1) ogf] A263812 3.18334 [(9679626823*f(x)-4826517496)*(f(x)*x^4+10*f(x)*x^3-23*f(x)*x^2+6*x^3-10*f(x)*x+61*x^2+f(x)-128*x-82) ogf] A263812 6.13931 [-(6*x^3+61*x^2-128*x-82)/(x^4+10*x^3-23*x^2-10*x+1) ogf] A263823 4.15756 [{(n+2)*a(n+1)+(n+2)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=10} ogf] A263824 9.54712 [(4*x^4-3*x^3-2*x+3)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A263843 13.9304 [-(-x^2+x)/(-x^3-3*x^2-3*x-1) revogf] A263843 9.18492 [x*f(x)^3+3*f(x)^2*x+f(x)^2+3*f(x)*x-f(x)+x ogf] A263851 3.97331 [-(4*x^9-27*x^8+82*x^7-152*x^6+192*x^5-168*x^4+99*x^3-39*x^2+9*x-1)/(x-1)^10 ogf] A263878 10.3088 [x*(x^2+1)/(x-1)/(x^2-x-1)^2 ogf] A263878 8.17977 [-(-3*x^4+3*x^3-6*x^2+9*x-1)/(-x^5+2*x^4-x^3+x^2-1) lgdogf] A263895 17.5250 [-(-3-2*x)/(-2*x+1) lgdegf] A263895 4.14793 [{(-2*n^2-10*n-12)*a(n+1)+(-2*n^2-11*n-15)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A263899 7.98709 [(x^3-2*x^2-1)/(x-1)/(x+1)/(x^2+1)/(x^5-2*x^3-2*x+1) ogf] A263907 11.0627 [-16/(x-1)/(25*x-1)/(7*x-1) ogf] A263907 4.15957 [(66487441919*f(x)-19109510000)*(175*f(x)*x^3-207*f(x)*x^2+33*f(x)*x-f(x)+16) ogf] A263907 4.19311 [{a(n+3)-33*a(n+2)+207*a(n+1)-175*a(n),a(0)=16,a(1)=528,a(2)=14112} ogf] A263907 7.02630 [-(525*x^2-414*x+33)/(175*x^3-207*x^2+33*x-1) lgdogf] A263908 4.13355 [-(195052*x^3-57437*x^2+3178*x-33)/(13*x-1)/(121*x-1)/(31*x-1)/(4*x-1) ogf] A263923 99.9999 Evaluated at exp(-Pi) -1/12*exp(11/12*Pi)*Pi^(7/4)*2^(3/4)*GAMMA(11/12)^2*(-2+3^(1/2))/GAMMA(2/3)^2/GAMMA(3/4)^5 A263929 10.9844 [(f(x)*x-f(x)+1)^3 egf] A263941 10.1486 [-(3*x^3-3*x^2-8*x-1)/(x+1)/(x-1)^2 ogf] A263941 5.22576 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=9,a(2)=13,a(3)=18} ogf] A263941 5.64719 [(711*f(x)+1018)*(f(x)*x^3-f(x)*x^2+3*x^3-f(x)*x-3*x^2+f(x)-8*x-1) ogf] A263941 8.43677 [-(10*x^2+17*x+9)/(-3*x^5+3*x^4+11*x^3-2*x^2-8*x-1) lgdogf] A263942 14.2724 [2*(x-3)/(x-1)/(x^2-4*x+1) ogf] A263942 6.57771 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=6,a(1)=28,a(2)=110} ogf] A263942 6.6354 [-(15905*f(x)-1979)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-f(x)-2*x+6) ogf] A263942 8.89926 [-(-2*x^3+14*x^2-30*x+14)/(-x^4+8*x^3-20*x^2+16*x-3) lgdogf] A263943 6.41387 [7*(4*x^4+16*x^3-381*x^2-16*x-1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A263944 11.2357 [7*(x+1)*(x-4)/(x-1)/(x^2-5*x+1) ogf] A263944 5.57361 [-(360303*f(x)-626393)*(f(x)*x^3-6*f(x)*x^2+6*f(x)*x-7*x^2-f(x)+21*x+28) ogf] A263944 6.04998 [{-a(n+3)+6*a(n+2)-6*a(n+1)+a(n),a(0)=28,a(1)=189,a(2)=959} ogf] A263944 7.69400 [-(x^4-6*x^3+50*x-27)/(x^5-9*x^4+20*x^3+5*x^2-21*x+4) lgdogf] A263945 6.07935 [13*(5*x^4+65*x^3-1947*x^2-65*x-2)/(x-1)/(x^2-36*x-1)/(x^2+36*x-1) ogf] A263946 4.57979 [-(22023348*f(x)+10696801)*(f(x)*x^3-51*f(x)*x^2+51*f(x)*x-78*x^2-f(x)+1300*x+26) ogf] A263946 5.06384 [{-a(n+3)+51*a(n+2)-51*a(n+1)+a(n),a(0)=26,a(1)=2626,a(2)=132522} ogf] A263946 5.51196 [-(3*x^4-100*x^3+2394*x^2+108*x-101)/(3*x^5-203*x^4+2702*x^3-2502*x^2-x+1) lgdogf] A263946 9.15959 [26*(3*x^2-50*x-1)/(x-1)/(x^2-50*x+1) ogf] A263947 5.29949 [19*(32*x^4+680*x^3-173397*x^2-680*x-29)/(x-1)/(x^2-340*x+1)/(x^2+340*x+1) ogf] A263948 4.04406 [-(61325307932400*f(x)+15342977768933)*(f(x)*x^3-975*f(x)*x^2+975*f(x)*x-305*x^2-f(x)+29707*x+244) ogf] A263948 4.72323 [{-a(n+3)+975*a(n+2)-975*a(n+1)+a(n),a(0)=244,a(1)=267607,a(2)=260678620} ogf] A263948 8.47593 [61*(5*x^2-487*x-4)/(x-1)/(x^2-974*x+1) ogf] A263949 7.22392 [14*(x^4+4*x^3-13*x^2-32*x-2)/(x-1)/(x^4-16*x^2+1) ogf] A263960 4.98435 [-(240*x^4+116*x^3-243*x^2-19*x+20)/(240*x^5-124*x^4-119*x^3+40*x^2+8*x-1) ogf] A263993 99.9999 Evaluated at exp(-Pi) 2/3*exp(-1/3*Pi)/Pi*3^(3/4)*GAMMA(2/3)*GAMMA(3/4)^3*(1+3^(1/2))/GAMMA(11/12) A263997 5.7358 [-(f(x)+4)*(f(x)*x^3-x^4-f(x)*x^2+x^3-f(x)*x+x^2+f(x)-x-1) ogf] A263997 9.75831 [(x^4-x^3-x^2+x+1)/(x+1)/(x-1)^2 ogf] A263999 4.92310 [-(4*x+3)*(64*x^4+32*x^3-72*x^2-5*x+6)/(256*x^6+64*x^5-256*x^4-44*x^3+37*x^2+5*x-1) ogf] A264000 3.78748 [-(65536*x^5+40960*x^4-31232*x^3+272*x^2+1260*x-81)/(256*x^3+80*x^2-4*x-1)/(256*x^3-176*x^2+33*x-1) ogf] A264004 4.54419 [-(2*x^7-7*x^6+4*x^5-20*x^4-12*x^3+25*x^2+2*x+4)/(x-1)/(x+1)/(x^2-4*x+1)/(x^4+4*x^2+1) ogf] A264014 3.92598 [{-a(n+4)+15*a(n+3)-25*a(n+2),a(0)=8,a(1)=105,a(2)=1573,a(3)=20570} ogf] A264014 3.92599 [(157553975*f(x)+1564166598)*(25*f(x)*x^2+400*x^3-15*f(x)*x-198*x^2+f(x)+15*x-8) ogf] A264014 7.21688 [-(2*x-1)*(200*x^2+x+8)/(25*x^2-15*x+1) ogf] A264015 3.57662 [-(39912500*x^6-86739375*x^5+1096750*x^4-951400*x^3+43870*x^2-51*x+32)/(5*x-1)/(625*x^4-1375*x^3+25*x^2-55*x+1) ogf] A264018 4.86123 [-(5126*f(x)-1401)*(f(x)*x^4+4*f(x)*x^3+x^3+4*f(x)*x+5*x^2-f(x)+x+1) ogf] A264018 4.93778 [{-a(n+4)+4*a(n+3)+4*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=105} ogf] A264018 9.08838 [-(x^3+5*x^2+x+1)/(x^2+1)/(x^2+4*x-1) ogf] A264019 4.06217 [-(590480*x^7+771284*x^6+5897*x^5-35397*x^4-1698*x^3+510*x^2+15*x+1)/(16*x^2+19*x-1)/(16*x^2+1) ogf] A264026 99.9999 Evaluated at exp(-Pi) 1/36*exp(1/2*Pi)*GAMMA(2/3)^2*GAMMA(3/4)^2*(1+3^(1/2))^2/Pi/GAMMA(11/12)^2 A264038 11.5937 [-(6*x^4-10*x^3-20*x^2+8*x+3)/(2*x^5-x^4-8*x^3+2*x^2+5*x-2) lgdogf] A264038 17.4797 [-x*(x-2)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A264038 8.29325 [-(18315*f(x)-16292)*(2*f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A264054 4.72170 [-(x^7-2*x^6-2*x^5-2*x^4+7*x^3+4*x^2-2*x-2)/(x^2-3*x+1)/(x^6-3*x^3+1) ogf] A264067 4.48902 [{-a(n+3)+19*a(n+2)+16*a(n+1),a(0)=34,a(1)=605,a(2)=12100} ogf] A264067 4.93348 [(26*f(x)-279)*(16*f(x)*x^2+19*f(x)*x+61*x^2-f(x)-41*x+34) ogf] A264067 5.59866 [-(-1815*x^2+1210*x+605)/(976*x^4+503*x^3-296*x^2+687*x-34) lgdogf] A264067 8.59105 [-(61*x^2-41*x+34)/(16*x^2+19*x-1) ogf] A264068 5.77113 [-(516*x^4-22067*x^3+1815*x^2-802*x+89)/(x-1)/(x+1)/(x^2-43*x+1) ogf] A264072 4.26114 [-(516*x^6-5595*x^5+238*x^4-1448*x^3+238*x^2-7*x+8)/(x-1)/(x^4-11*x^3+x^2-11*x+1) ogf] A264079 7.66520 [(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x-1)/(2*x^5+x^4+x^2+x-1) ogf] A264080 12.3652 [(x^2+3*x+1)/(x+1)/(x^2-3*x+1) ogf] A264080 6.67500 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A264080 6.73459 [(8*f(x)+15)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-3*x-1) ogf] A264080 7.85703 [-(-x^4-6*x^3+x^2+6*x+5)/(-x^5-x^4+7*x^3+7*x^2-x-1) lgdogf] A264085 4.84023 [{-a(n+4)+4*a(n+3)+4*a(n+1)+a(n),a(0)=9,a(1)=39,a(2)=169,a(3)=715} ogf] A264085 4.87805 [(92626*f(x)-61135)*(f(x)*x^4+4*f(x)*x^3+3*x^3+4*f(x)*x+13*x^2-f(x)+3*x+9) ogf] A264085 8.91986 [-(3*x^3+13*x^2+3*x+9)/(x^2+1)/(x^2+4*x-1) ogf] A264086 3.36294 [(9790024435*f(x)-129641601966)*(256*f(x)*x^4+304*f(x)*x^3+3712*x^3+19*f(x)*x+5249*x^2-f(x)+232*x+64) ogf] A264086 3.62345 [{-a(n+4)+19*a(n+3)+304*a(n+1)+256*a(n),a(0)=64,a(1)=1448,a(2)=32761,a(3)=645627} ogf] A264086 6.19916 [-(3712*x^3+5249*x^2+232*x+64)/(16*x^2+19*x-1)/(16*x^2+1) ogf] A264091 3.93439 [-(x^7+5*x^6-12*x^5-28*x^4+28*x^3+39*x^2-7*x-8)/(x^2+x-1)/(x^2-x-1)/(x^4+4*x^3-13*x^2-4*x+1) ogf] A264106 4.73023 [-(200691*f(x)-87584)*(f(x)*x^4+4*f(x)*x^3+2*x^3+4*f(x)*x+9*x^2-f(x)+4*x+9) ogf] A264106 9.04913 [-(2*x^3+9*x^2+4*x+9)/(x^2+1)/(x^2+4*x-1) ogf] A264107 3.21994 [-(111521983992335*f(x)-757084509952299)*(256*f(x)*x^4+304*f(x)*x^3+2160*x^3+19*f(x)*x+2601*x^2-f(x)+9*x+144) ogf] A264107 6.43988 [-9*(240*x^3+289*x^2+x+16)/(16*x^2+19*x-1)/(16*x^2+1) ogf] A264120 10.2025 [-(2*x^3+4*x^2+8*x+2)/(2*x^4+x^3-x^2-x-1) lgdogf] A264120 12.5569 [x*(2*x^2+x+1)/(x+1)/(x-1)^2 ogf] A264120 6.23051 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A264120 6.69014 [-(160*f(x)-17)*(f(x)*x^3-f(x)*x^2-2*x^3-f(x)*x-x^2+f(x)-x) ogf] A264122 4.49493 [-(x^7+5*x^6+3*x^5-4*x^4-19*x^3-7*x^2-x-2)/(x^2+4*x-1)/(x^2-x-1)/(x^4+x^3+2*x^2-x+1) ogf] A264123 4.66345 [{-a(n+5)+10*a(n+4),a(0)=4,a(1)=45,a(2)=576,a(3)=5733,a(4)=53361} ogf] A264123 4.74317 [(5485612720*f(x)+19966807253)*(-3969*x^4-27*x^3+10*f(x)*x+126*x^2-f(x)+5*x+4) ogf] A264123 8.16104 [(3969*x^4+27*x^3-126*x^2-5*x-4)/(10*x-1) ogf] A264129 10.6467 [-80*(2*x-1)/(25*x^2-15*x+1) ogf] A264129 5.27066 [-(4935*f(x)+62176)*(25*f(x)*x^2-15*f(x)*x+f(x)+160*x-80) ogf] A264129 6.04928 [{a(n+2)-15*a(n+1)+25*a(n),a(0)=80,a(1)=1040} ogf] A264129 7.60481 [-(-50*x^2+50*x-13)/(-50*x^3+55*x^2-17*x+1) lgdogf] A264130 4.08724 [-16*(3125*x^4-7250*x^3+1000*x^2-330*x+61)/(5*x-1)/(625*x^4-1375*x^3+25*x^2-55*x+1) ogf] A264147 12.7596 [x*(3*x-1)/(x^2+x-1)^2 ogf] A264147 12.9589 [-(9*x^2-x+1)/(3*x^3+2*x^2-4*x+1) lgdogf] A264147 4.25318 [{(-3-n)*a(n+4)+(7+4*n)*a(n+3)+(-1-2*n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=-1,a(2)=1,a(3)=1} ogf] A264147 6.42922 [(125*f(x)+191)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2-2*f(x)*x-3*x^2+f(x)+x) ogf] A264152 5.96303 [{(-16*n^2-64*n-60)*a(n+1)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A264158 6.24718 [-(x^7+x^6-4*x^4-3*x^3-x^2-2*x-4)/(x^8-4*x^5-2*x^3-2*x^2-2*x+1) ogf] A264166 6.96998 [-(x+1)*(x^4-x^3-x^2-2*x-1)/(x^2+1)/(x^4-x^3-2*x^2-x+1) ogf] A264167 5.23099 [-(4*x^6+18*x^5+43*x^4+53*x^3+45*x^2+21*x+4)/(18*x^5+35*x^4+23*x^3+7*x^2+x-1) ogf] A264185 5.38787 [{a(n+4)-10*a(n+3),a(0)=8,a(1)=81,a(2)=720,a(3)=7056} ogf] A264185 5.84159 [(35344*f(x)+58573)*(-144*x^3+10*f(x)*x-90*x^2-f(x)+x+8) ogf] A264185 9.73598 [(144*x^3+90*x^2-x-8)/(10*x-1) ogf] A264200 11.9447 [x*(2*x+1)/(2*x-1)/(x+1)/(4*x^2+2*x-1) ogf] A264200 5.88185 [-(121*f(x)+19)*(8*f(x)*x^4+8*f(x)*x^3-4*f(x)*x^2-3*f(x)*x-2*x^2+f(x)-x) ogf] A264200 8.25961 [-(-48*x^4-64*x^3-16*x^2+8*x+5)/(-16*x^5-24*x^4+10*x^2+x-1) lgdogf] A264201 7.72768 [x*(9*x^2+3*x+1)/(3*x-1)/(3*x^2+2*x+1)/(27*x^3+9*x^2+3*x-1) ogf] A264202 4.85575 [-(2*x^5+7*x^4-33*x^3-7*x^2+42*x+18)/(x^2-x-1)/(x^4+4*x^3-13*x^2-4*x+1) ogf] A264203 5.24908 [-(4*x^4-43*x^3-187*x^2+133*x+81)/(x-1)/(x^2-14*x+1)/(x^2+4*x+1) ogf] A264211 3.95396 [-(2*x^7+13*x^6-34*x^4-18*x^3+31*x^2+6*x-17)/(x^8+6*x^7-3*x^6-16*x^5-3*x^4+16*x^3-3*x^2-6*x+1) ogf] A264218 6.11587 [-(2*x^5+5*x^4-2*x^3-14*x^2-9*x-4)/(x^6+2*x^5-2*x^4-6*x^3-2*x^2-2*x+1) ogf] A264236 7.55598 [-(3*x^4+15*x^3+7*x^2-9*x+1)/(x-1)/(x^2-8*x+1)/(x^2-3*x+1) ogf] A264237 5.95217 [-(20*x^5-8*x^4+58*x^3-54*x^2+15*x-1)/(x-1)/(2*x^2-4*x+1)/(6*x^3-28*x^2+13*x-1) ogf] A264238 10.1261 [-(x^2-5*x-8)/(x^3-6*x^2-2*x+1) ogf] A264238 4.98139 [(19070299*f(x)+3474093)*(f(x)*x^3-6*f(x)*x^2-2*f(x)*x+x^2+f(x)-5*x-8) ogf] A264238 5.41835 [{a(n+3)-2*a(n+2)-6*a(n+1)+a(n),a(0)=8,a(1)=21,a(2)=89} ogf] A264239 4.87441 [-(x+1)*(72*x^4-62*x^3-65*x^2+73*x-21)/(72*x^6-62*x^5-65*x^4+65*x^3-7*x^2-7*x+1) ogf] A264245 6.41943 [-(x^5+x^4+x^3-3*x^2-4*x-2)/(x^6+x^4-4*x^3-x^2-2*x+1) ogf] A264251 3.94357 [-(x-1)*(x^6+3*x^5-12*x^4-18*x^3+20*x^2+33*x+10)/(x^8+x^7-16*x^6+9*x^5+29*x^4-9*x^3-16*x^2-x+1) ogf] A264266 3.96785 [-(x^7+5*x^6-12*x^5-31*x^4+28*x^3+47*x^2-8*x-10)/(x^2+x-1)/(x^2-x-1)/(x^4+4*x^3-13*x^2-4*x+1) ogf] A264273 13.3694 [-(16*x^2+3*x+9)/(5*x-1) ogf] A264273 7.06888 [{-a(n+3)+5*a(n+2),a(0)=9,a(1)=48,a(2)=256} ogf] A264273 7.68742 [-(f(x)-9)*(5*f(x)*x+16*x^2-f(x)+3*x+9) ogf] A264273 8.91294 [-(80*x^2-32*x-48)/(-80*x^3+x^2-42*x+9) lgdogf] A264280 10.0332 [-4*(x^2+2*x+2)/(4*x^3+4*x^2+3*x-1) ogf] A264280 5.05807 [-(1157*f(x)-1551)*(4*f(x)*x^3+4*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+8*x+8) ogf] A264280 5.32197 [{a(n+3)-3*a(n+2)-4*a(n+1)-4*a(n),a(0)=8,a(1)=32,a(2)=132} ogf] A264281 5.17267 [-(3*x^5+4*x^4-5*x^3-7*x^2-10*x+16)/(x-1)/(3*x^5+4*x^4-2*x^3-4*x^2-6*x+1) ogf] A264286 5.47177 [-(x+1)*(4*x^5+8*x^4+10*x^3+10*x^2+8*x+1)/(8*x^5+12*x^4+10*x^3+4*x^2+x-1) ogf] A264294 4.52004 [-(x-1)*(x^6+3*x^5+2*x^3+12*x^2+9*x+2)/(x^8+x^7-4*x^6+5*x^5+5*x^4-5*x^3-4*x^2-x+1) ogf] A264300 5.08358 [-(x^8+x^7-2*x^6-5*x^5-x^4+2*x^3+3*x^2+x+1)/(x^9-2*x^7-3*x^6+x^5+x^4+3*x^3+x-1) ogf] A264307 10.7845 [-2*(2*x^2+4*x+3)/(4*x^3+4*x^2+2*x-1) ogf] A264307 5.52821 [-(230*f(x)-313)*(4*f(x)*x^3+4*f(x)*x^2+2*f(x)*x+4*x^2-f(x)+8*x+6) ogf] A264307 5.77067 [{a(n+3)-2*a(n+2)-4*a(n+1)-4*a(n),a(0)=6,a(1)=20,a(2)=68} ogf] A264307 6.38695 [-(-8*x^4-32*x^3-48*x^2-28*x-10)/(-8*x^5-24*x^4-32*x^3-18*x^2-2*x+3) lgdogf] A264332 5.10860 [(171*x^6+144*x^5+72*x^4+4*x^3-3*x^2+2*x+1)/(9*x^3+x-1)/(27*x^3+5*x-1) ogf] A264337 10.4074 [-(128*x+181)/(16*x^2+19*x-1) ogf] A264337 5.10363 [-(73565*f(x)-591776)*(16*f(x)*x^2+19*f(x)*x-f(x)+128*x+181) ogf] A264337 5.96380 [{-a(n+2)+19*a(n+1)+16*a(n),a(0)=181,a(1)=3567} ogf] A264337 6.31879 [-(-2048*x^2-5792*x-3567)/(-2048*x^3-5328*x^2-3311*x+181) lgdogf] A264338 6.11642 [-(13*x^3-550*x^2-143*x+676)/(x-1)/(x+1)/(x^2-43*x+1) ogf] A264359 5.89850 [-(x^5-2*x^4+2*x^3+2*x^2-9*x-9)/(x^3-2*x^2+5*x-1)/(x^3-x^2-2*x-1) ogf] A264360 5.14030 [-2*(4*x^5-6*x^4-13*x^3+36*x^2+33*x+9)/(8*x^6-24*x^5+10*x^4+57*x^3+28*x^2+3*x-1) ogf] A264361 4.12507 [(373617*f(x)+59620)*(8*f(x)*x^3-22*f(x)*x^2-11*f(x)*x+8*x^2+f(x)-4*x-36) ogf] A264361 4.22820 [{-a(n+3)+11*a(n+2)+22*a(n+1)-8*a(n),a(0)=36,a(1)=400,a(2)=5184} ogf] A264361 7.92788 [-4*(2*x^2-x-9)/(2*x+1)/(4*x^2-13*x+1) ogf] A264365 4.77616 [-(x^8+3*x^7+2*x^6-3*x^5-6*x^4-6*x^3-6*x^2-2*x-1)/(x^3+x^2+1)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A264366 5.02983 [{-a(n+4)+3*a(n+3)+6*a(n+1)+4*a(n),a(0)=1,a(1)=6,a(2)=36,a(3)=120} ogf] A264366 5.11031 [(649*f(x)-1027)*(4*f(x)*x^4+6*f(x)*x^3+6*x^3+3*f(x)*x+18*x^2-f(x)+3*x+1) ogf] A264366 9.12554 [-(6*x^3+18*x^2+3*x+1)/(2*x^2+3*x-1)/(2*x^2+1) ogf] A264380 4.01978 [-x*(x^8-2*x^7+8*x^6-13*x^5+17*x^4-19*x^3+8*x^2-4*x-1)/(x^10-2*x^9+4*x^8-5*x^7+x^6+4*x^5-7*x^4+6*x^3-5*x^2-2*x+1) ogf] A264423 9.41725 [-(x^5+3*x^2+1)/(x^3+x^2+1)/(x^4-x^3+x^2+3*x-1) ogf] A264443 10.2388 [-(-12*x^2+36*x-28)/(-6*x^3+22*x^2-27*x+11) lgdogf] A264443 4.87564 [(978076*f(x)-34213183)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x+16*x^2+f(x)-11*x) ogf] A264443 9.55625 [x*(6*x^2-16*x+11)/(x-1)^4 ogf] A264444 10.3038 [-(-26*x^2+70*x-48)/(-13*x^3+45*x^2-52*x+20) lgdogf] A264444 5.01078 [(20146*f(x)-2355363)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-13*x^3-4*f(x)*x+32*x^2+f(x)-20*x) ogf] A264444 9.62596 [x*(13*x^2-32*x+20)/(x-1)^4 ogf] A264445 10.0169 [x*(35*x^2-80*x+46)/(x-1)^4 ogf] A264445 10.1504 [-(-70*x^2+170*x-104)/(-35*x^3+115*x^2-126*x+46) lgdogf] A264445 4.9115 [-(1952156*f(x)-1243484987)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-35*x^3-4*f(x)*x+80*x^2+f(x)-46*x) ogf] A264446 8.89709 [x*(3*x-4)*(7*x^2-17*x+11)/(x-1)^5 ogf] A264446 8.99075 [-(-42*x^3+174*x^2-246*x+119)/(-21*x^4+100*x^3-180*x^2+145*x-44) lgdogf] A264447 9.01867 [x*(65*x^3-230*x^2+274*x-110)/(x-1)^5 ogf] A264447 9.11165 [-(-130*x^3+495*x^2-636*x+276)/(-65*x^4+295*x^3-504*x^2+384*x-110) lgdogf] A264448 4.22028 [{(-133*n^2-9401*n-18270)*a(n+1)+(156*n^2+16068*n+32292)*a(n+2)+(-23*n^2-7107*n-14122)*a(n+3),a(0)=0,a(1)=391,a(2)=910} ogf] A264448 8.35861 [-(-560*x^3+1965*x^2-2310*x+910)/(-280*x^4+1215*x^3-1980*x^2+1436*x-391) lgdogf] A264448 8.60937 [x*(280*x^3-935*x^2+1045*x-391)/(x-1)^5 ogf] A264449 7.01896 [x*(351*x^4-1612*x^3+2796*x^2-2172*x+638)/(x-1)^6 ogf] A264450 6.60493 [x*(2408*x^4-10542*x^3+17358*x^2-12742*x+3519)/(x-1)^6 ogf] A264472 5.20033 [4*x*(9*x^5-36*x^4-30*x^3-6*x^2+4*x+2)/(9*x^3+3*x^2-1)/(27*x^3+15*x^2-1) ogf] A264484 6.66770 [-(x^7-3*x^3+2*x^2-x-1)/(x^3+2*x-1)/(x^6-2*x^4-1) ogf] A264491 8.98525 [-(x^3-x^2-x-3)/(x^5-x^4-2*x^3-3*x^2+1) ogf] A264492 5.21181 [4*(8*x^5-4*x^4-8*x^3-x^2-x-3)/(2*x+1)/(16*x^5+8*x^4+4*x^3+10*x^2+3*x-1) ogf] A264502 4.84310 [(171*x^6-180*x^5-48*x^4-68*x^3+13*x^2+2*x+6)/(9*x^3+x-1)/(27*x^3+5*x-1) ogf] A264507 8.19026 [-(x^4-2*x^3+x-1)/(x^6-2*x^5-x^4+3*x^3-x^2-2*x+1) ogf] A264514 5.67509 [-(x^5-5*x^4+6*x^3-5*x^2+3*x-1)/(x^6-6*x^5+11*x^4-13*x^3+11*x^2-6*x+1) ogf] A264535 7.41297 [-x*(x^7+2*x^6-x^2-2*x-4)/(x^4+x^3-x^2-x-1)/(x^6+x^5+2*x^3+x-1) ogf] A264536 8.40439 [-(12*x^4+4*x^3+9*x^2+3*x+1)/(4*x^2+2*x+1)/(4*x^3-2*x^2+3*x-1) ogf] A264537 3.49582 [-x*(768*x^9-256*x^8+256*x^7-104*x^6-8*x^5+64*x^4-16*x^3+46*x^2-17*x+19)/(256*x^10+288*x^7-24*x^6+120*x^5+18*x^3+3*x-1) ogf] A264544 14.0864 [-(x^2+1)/(x^4+2*x-1) ogf] A264544 7.18992 [-(-2*x^5-4*x^3+2*x^2-2*x-2)/(-x^6-x^4-2*x^3+x^2-2*x+1) lgdogf] A264544 7.42184 [-(6*f(x)+5)*(f(x)*x^4+2*f(x)*x+x^2-f(x)+1) ogf] A264551 12.2286 [-(4*x^3+2*x^2+1)/(8*x^4+2*x-1) ogf] A264551 6.90129 [-(3*f(x)-2)*(8*f(x)*x^4+4*x^3+2*f(x)*x+2*x^2-f(x)+1) ogf] A264565 4.72175 [-2*(81*x^6+72*x^5+51*x^4+12*x^3-4*x^2-4*x-1)/(9*x^3+3*x^2-1)/(27*x^3+15*x^2-1) ogf] A264570 13.7332 [-(32*x^3+2)/(8*x^4+2*x-1) lgdogf] A264570 22.0563 [-1/(8*x^4+2*x-1) ogf] A264570 8.56301 [-(f(x)-1)*(8*f(x)*x^4+2*f(x)*x-f(x)+1) ogf] A264579 5.72443 [(144*x^6+36*x^5-72*x^4+12*x^3+8*x^2+8*x+1)/(243*x^6-9*x^4-36*x^3-2*x+1) ogf] A264584 8.36015 [-x*(x-1)*(x^6+2*x^5+2*x^4+2*x^3+2*x^2+x+1)/(x^10+x^9-2*x^5-x^4-x^3+1) ogf] A264585 6.96750 [-(16*x^8-8*x^5+4*x^4-2*x^3-1)/(64*x^10-32*x^7+16*x^6-16*x^5-2*x+1) ogf] A264613 7.51102 [-(8*x^5+2*x^4-x^3-8*x^2-5*x-2)/(x-1)/(4*x^3-1)/(x^2+x+1) ogf] A264622 11.1880 [-x*(x+1)^2/(x^5+2*x^4+x^3-1) ogf] A264622 7.71975 [-(-3*x^5-9*x^4-9*x^3-3*x^2-2)/(-x^6-3*x^5-3*x^4-x^3+x+1) lgdogf] A264629 6.97310 [-(x^8-3*x^5+2*x^4-x^3-1)/(x^10-4*x^7+2*x^6-2*x^5-2*x+1) ogf] A264649 7.63109 [-(x^8-3*x^5-x^3-1)/(x^10-4*x^7+2*x^6-2*x^5-2*x+1) ogf] A264670 5.36178 [-(x^8+x^6-3*x^5-x^4-5*x^2-1)/(x^10+x^8-4*x^7+x^6-2*x^5-3*x^4-x^3-2*x+1) ogf] A264677 4.76845 [-(x^8+2*x^6-4*x^5-x^4-7*x^2+x-1)/(x^9-x^8+3*x^7-7*x^6+5*x^5-7*x^4-5*x^3+3*x^2-3*x+1) ogf] A264750 10.1234 [-(x-5)/(x-1)^6 ogf] A264750 16.5281 [-(-5*x+29)/(-x^2+6*x-5) lgdogf] A264750 5.25894 [{(5*n+15)*a(n+3)+(-41-6*n)*a(n+2)+(6+n)*a(n+1),a(0)=5,a(1)=29,a(2)=99} ogf] A264754 12.2732 [-(x^4-2*x^3+2*x+1)/(x+1)^2/(x-1)^3 ogf] A264754 9.31446 [-(-x^5+3*x^4-2*x^3-2*x^2-7*x-3)/(-x^6+2*x^5+x^4-4*x^3-x^2+2*x+1) lgdogf] A264756 9.71949 [-(2*x^7+2*x^6-2*x^4-x^3-3*x^2-1)/(x-1)^2/(x^2+x+1)^2 ogf] A264788 10.2300 [2*(x^5+x^4-x^3+x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A264797 9.17427 [-(5*x^5+x^4+14*x^3+6*x^2+5*x+1)/(x^2+1)/(x-1)^3/(x+1)^3 ogf] A264800 12.5422 [(x-1)*(x+1)*(x^3+x^2+1)/(x^2+x-1) ogf] A264850 10.4051 [-x*(13*x+1)/(x-1)^5 ogf] A264850 15.2075 [-(-52*x-18)/(-13*x^2+12*x+1) lgdogf] A264850 5.16857 [{(-2-n)*a(n+3)+(6-12*n)*a(n+2)+(52+13*n)*a(n+1),a(0)=0,a(1)=1,a(2)=18} ogf] A264851 10.4527 [-x*(15*x+1)/(x-1)^5 ogf] A264851 15.2770 [-(-60*x-20)/(-15*x^2+14*x+1) lgdogf] A264851 5.19217 [{(-2-n)*a(n+3)+(6-14*n)*a(n+2)+(60+15*n)*a(n+1),a(0)=0,a(1)=1,a(2)=20} ogf] A264852 10.5952 [-x*(17*x+1)/(x-1)^5 ogf] A264852 15.4853 [-(-68*x-22)/(-17*x^2+16*x+1) lgdogf] A264852 5.26297 [{(-2-n)*a(n+3)+(6-16*n)*a(n+2)+(68+17*n)*a(n+1),a(0)=0,a(1)=1,a(2)=22} ogf] A264853 10.0638 [-x*(x^2+8*x+1)/(x-1)^5 ogf] A264853 12.6559 [-(3*x^2+34*x+13)/(x^3+7*x^2-7*x-1) lgdogf] A264853 4.21865 [{(n+3)*a(n+4)+(1+7*n)*a(n+3)+(-41-7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=13,a(3)=56} ogf] A264854 10.1079 [-x*(x^2+9*x+1)/(x-1)^5 ogf] A264854 12.7114 [-(3*x^2+38*x+14)/(x^3+8*x^2-8*x-1) lgdogf] A264854 4.23715 [{(n+3)*a(n+4)+(2+8*n)*a(n+3)+(-46-8*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=14,a(3)=61} ogf] A264888 11.9292 [-(3*x^2+46*x+16)/(x^3+10*x^2-10*x-1) lgdogf] A264888 4.05592 [{(n+3)*a(n+4)+(4+10*n)*a(n+3)+(-56-10*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=1,a(2)=16,a(3)=71} ogf] A264888 9.65694 [-x*(x^2+11*x+1)/(x-1)^5 ogf] A264891 3.66569 [{(-17425*n^2-74477*n-79254)*a(n+1)+(19250*n^2+17834*n+30168)*a(n+2)+(-1825*n^2-5757*n-4214)*a(n+3),a(0)=0,a(1)=1,a(2)=112} ogf] A264891 7.94232 [-x*(34*x^3+233*x^2+107*x+1)/(x-1)^5 ogf] A264891 8.11131 [-(68*x^3+801*x^2+894*x+112)/(34*x^4+199*x^3-126*x^2-106*x-1) lgdogf] A264892 3.61560 [{(-16419*n^2-69680*n-73684)*a(n+1)+(17520*n^2+11848*n+18440)*a(n+2)+(-1101*n^2-3440*n-2476)*a(n+3),a(0)=0,a(1)=1,a(2)=176} ogf] A264892 7.75303 [-(130*x^3+1428*x^2+1506*x+176)/(65*x^4+346*x^3-240*x^2-170*x-1) lgdogf] A264892 7.83379 [-x*(65*x^3+411*x^2+171*x+1)/(x-1)^5 ogf] A264894 7.88416 [-(222*x^3+2316*x^2+2346*x+261)/(111*x^4+550*x^3-405*x^2-255*x-1) lgdogf] A264894 7.96544 [-x*(111*x^3+661*x^2+256*x+1)/(x-1)^5 ogf] A264895 3.87166 [{(-10340*n^2-43405*n-45450)*a(n+1)+(10696*n^2+4570*n+6084)*a(n+2)+(-356*n^2-1101*n-778)*a(n+3),a(0)=0,a(1)=1,a(2)=370} ogf] A264895 8.05937 [-(350*x^3+3510*x^2+3450*x+370)/(175*x^4+820*x^3-630*x^2-364*x-1) lgdogf] A264895 8.14245 [-x*(175*x^3+995*x^2+365*x+1)/(x-1)^5 ogf] A264923 25.9356 [x^2/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A264924 19.8562 [x^3/(x^4-4*x^3+6*x^2-4*x+1) ogf_with_Euler_transform] A264925 16.7425 [x^4/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) ogf_with_Euler_transform] A264926 15.3354 [x^5/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf_with_Euler_transform] A264928 31.6203 [-(1-3*x)/(x-1) ogf_with_Euler_transform] A264938 8.61434 [-(4*x^4+15*x^3+15*x^2+14*x+6)/(2*x^5+3*x^4+x^3-2*x^2-3*x-1) lgdogf] A264938 9.58225 [-x*(2*x+1)*(x+1)^2/(x^2+x+1)/(x-1)^3 ogf] A265021 5.91159 [-32*x*(x^4+26*x^3+66*x^2+26*x+1)/(x-1)^7 ogf] A265021 6.96131 [-(-3*x^4-108*x^3-408*x^2-288*x-33)/(-x^5-25*x^4-40*x^3+40*x^2+25*x+1) lgdogf] A265035 8.69520 [-(x^8-2*x^7+2*x^6-2*x^5-x^2-1)/(x^2-x+1)/(x-1)^2 ogf] A265036 6.22588 [-(2*x^9-6*x^8+8*x^7-7*x^6+2*x^5+2*x^4-5*x^3+2*x^2-1)/(x-1)^2/(x^2-x+1)^2 ogf] A265037 3.52447 [{(-24*n-152)*a(n+1)+(42*n+242)*a(n+2)+(-21*n-115)*a(n+3)+(3*n+16)*a(n+4),a(0)=1,a(1)=30,a(2)=185,a(3)=886} ogf] A265037 4.76708 [(77462523*f(x)+13832639)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-14*x^3-8*f(x)*x+34*x^2+f(x)-22*x-1) ogf] A265037 9.06907 [(14*x^3-34*x^2+22*x+1)/(2*x-1)/(4*x-1)/(x-1)^2 ogf] A265044 5.29801 [-(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^3/(x-1)/(x^10-x^9-x^6+x^5-x^4-x+1) ogf] A265045 10.1219 [-(x+1)*(x^7-x^6-x^4+2*x^3-2*x^2-1)/(x-1)^2 ogf] A265046 12.4099 [-(x+1)*(x^7-x^6+x^5-x^4-x^3-1)/(x-1)^2 ogf] A265048 4.29832 [-(x^2-x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^3/(x-1)/(x^12-x^11-x^8-x^6-x^4-x+1) ogf] A265049 4.93263 [-(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^2+1)*(x+1)^3/(x-1)/(x^10-2*x^9+2*x^8-2*x^7+x^6-x^5+x^4-2*x^3+2*x^2-2*x+1) ogf] A265050 7.88222 [-(x^2+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^6-x^5-x^4+x^3-x^2-x+1) ogf] A265051 7.65391 [-(x^2+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^6-x^5-x^4-x^2-x+1) ogf] A265052 5.13336 [-(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^2+1)*(x+1)^3/(x-1)/(x^4-2*x^3+x^2-2*x+1)/(x^6+x^3+1) ogf] A265053 4.56056 [-(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x^2+1)*(x+1)^3/(x-1)/(x^10-2*x^9+x^8-2*x^6+2*x^5-2*x^4+x^2-2*x+1) ogf] A265054 6.25312 [-(x^4-x^3+x^2-x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^2+1)/(x^6-2*x^5-x^4+3*x^3-x^2-2*x+1) ogf] A265055 7.51571 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^7+x^6+x^5+x^4-1) ogf] A265056 13.3058 [-(3*x^2-22*x-5)/(4*x^4-13*x^3+7*x^2+x+1) lgdogf] A265056 14.2700 [(4*x^3-9*x^2-2*x-1)/(x-1)^3 ogf] A265056 7.34800 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=21,a(3)=45} ogf] A265056 8.07076 [(43*f(x)-502)*(f(x)*x^3-3*f(x)*x^2-4*x^3+3*f(x)*x+9*x^2-f(x)+2*x+1) ogf] A265057 5.64017 [(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x+1)^2/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1) ogf] A265058 6.94086 [(x^2+x+1)*(x^2+1)*(x^4+1)*(x+1)^2/(x^10-x^7-x^5-x^3+1) ogf] A265059 7.22647 [(x^2+x+1)*(x^6+x^3+1)*(x+1)^2/(x^10-x^8-x^5-x^2+1) ogf] A265060 8.45760 [(x^2+1)*(x^4+x^3+x^2+x+1)*(x+1)^2/(x^8-x^5-x^4-x^3+1) ogf] A265061 7.06262 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x^8-x^7+x^6-2*x^5+x^4-2*x^3+x^2-x+1) ogf] A265062 6.87974 [(x^2+1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^6-x^4-x^3-x^2+1) ogf] A265063 7.91707 [(x^2+1)*(x^4+1)*(x+1)^2/(x^8-x^7-x^5+x^4-x^3-x+1) ogf] A265064 9.80705 [(x^4+x^3+x^2+x+1)*(x+1)^2/(x^6-x^4-x^3-x^2+1) ogf] A265065 6.73776 [(x^2+x+1)*(x^2-x+1)*(x^4+x^3+x^2+x+1)*(x+1)^2/(x^2+1)/(x^8-x^6-x^5-x^3-x^2+1) ogf] A265066 4.98273 [(x^4+x^3+x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x+1)^2/(x^12+x^11-x^9-2*x^8-3*x^7-3*x^6-3*x^5-2*x^4-x^3+x+1) ogf] A265067 5.50365 [(x^2+1)*(x^4+x^3+x^2+x+1)*(x^4+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5-x^3-x+1) ogf] A265068 9.82476 [-(x^4+x^3+x^2+x+1)*(x+1)^2/(x^5+x^4+x^3+x^2-1) ogf] A265069 10.4624 [(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x^6-x^5-x^3-x+1) ogf] A265070 10.9457 [-(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x^5+x^3+x-1) ogf] A265071 9.95448 [(x^2+x+1)*(x^2+1)*(x+1)^2/(x^6-x^4-x^3-x^2+1) ogf] A265072 10.1762 [(x^2+x+1)*(x^4+x^3+x^2+x+1)/(x^6-x^5-x^3-x+1) ogf] A265073 8.73274 [(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x^6-x^5-x^4+x^3-x^2-x+1) ogf] A265074 8.09408 [(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^6-x^4-2*x^3-x^2+1) ogf] A265075 9.63581 [(x^2+x+1)*(x^2+1)*(x+1)^2/(x^6-x^4-2*x^3-x^2+1) ogf] A265076 10.0376 [(x^2+x+1)*(x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^3-x^2-x+1) ogf] A265077 9.23908 [(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x^6-x^5-x^4-x^2-x+1) ogf] A265078 29.3871 [-x^5+x^4-x+4 ogf_with_Euler_transform] A265078 8.93702 [-(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A265101 4.11358 [{(576*n^3+3744*n^2+8048*n+5720)*a(n+1)+(-9*n^3-72*n^2-185*n-150)*a(n+2),a(0)=1,a(1)=30} ogf] A265106 8.99664 [-x*(x^4-x^3-2*x^2+x-1)/(x-1)/(x^3+2*x-1) ogf] A265107 10.0073 [-(2*x^4+8*x^3-4*x^2-4*x-2)/(-2*x^5-5*x^4-2*x+1) lgdogf] A265107 14.0454 [-x*(x+1)*(2*x^2-x+1)/(x^2+2*x-1) ogf] A265107 6.35386 [{-a(n+5)+2*a(n+4)+a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=6,a(4)=16} ogf] A265107 7.77267 [(3236*f(x)+1365)*(2*x^4+f(x)*x^2+x^3+2*f(x)*x-f(x)+x) ogf] A265133 8.46697 [x*(x^11+x^10+x^9+x^7+x^6+x^4+x^3+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A265165 5.35924 [{(n^2+3*n+1)*a(n+1)+(-2*n-4)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A265185 11.1778 [-(-4*x^2+4*x-2)/(-4*x^3+10*x^2-6*x+1) lgdogf] A265185 16.1457 [-4*(2*x-1)/(2*x^2-4*x+1) ogf] A265185 8.07284 [-(7*f(x)-12)*(2*f(x)*x^2-4*f(x)*x+f(x)+8*x-4) ogf] A265185 8.86044 [{a(n+2)-4*a(n+1)+2*a(n),a(0)=4,a(1)=8} ogf] A265187 7.60258 [x*(x^8+x^7+2*x^6+x^5+x^4+x^3+2*x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A265188 10.9256 [x*(x^4+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A265207 14.3799 [(2*x^3+10*x^2+7*x+1)/(x-1)/(2*x^2-1) ogf] A265207 7.51187 [{-a(n+4)+a(n+3)+2*a(n+2)-2*a(n+1),a(0)=1,a(1)=8,a(2)=20,a(3)=36} ogf] A265207 8.18369 [(31+123*f(x))*(2*f(x)*x^3-2*f(x)*x^2-2*x^3-f(x)*x-10*x^2+f(x)-7*x-1) ogf] A265207 9.23477 [-(24*x^4+32*x^3-4*x^2-24*x-8)/(4*x^6+16*x^5-8*x^4-20*x^3+x^2+6*x+1) lgdogf] A265225 12.0260 [-(3*x+1)/(x+1)^2/(x-1)^3 ogf] A265225 12.7660 [-(-12*x^2-8*x-4)/(-3*x^3-x^2+3*x+1) lgdogf] A265225 4.16980 [{(-n-4)*a(n+4)+(-5-3*n)*a(n+3)+(10+n)*a(n+2)+(15+3*n)*a(n+1),a(0)=1,a(1)=4,a(2)=6,a(3)=12} ogf] A265227 10.0635 [x*(x^2+x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A265227 28.0018 [x^4-2*x^2+3 ogf_with_Euler_transform] A265228 8.07634 [x*(x^6+2*x^5+4*x^4+2*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A265256 99.9999 Evaluated at exp(-Pi) exp(-1/8*Pi)*2^(3/8)*3^(1/4)/Pi^(7/12)*GAMMA(2/3)^(2/3)*GAMMA(3/4)^(1/3)/(2^(1/2)*(3^(1/2)-1))^(2/3)*GAMMA(7/12)^(2/3) A265257 11.9999 [-(-x^6+x^5+x^4-2*x)/(-x+1) ogf_with_Euler_transform] A265278 10.9669 [x*(x^3+x^2-x+1)/(x-1)/(x^2+2*x-1) ogf] A265278 5.55962 [{-a(n+5)+3*a(n+4)-a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=6,a(4)=16} ogf] A265278 6.11134 [-(169*f(x)+120)*(f(x)*x^3-x^4+f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)-x) ogf] A265278 8.70202 [-(4*x^3+2*x^2-2)/(x^6+2*x^5-3*x^4-2*x^3+5*x^2-4*x+1) lgdogf] A265282 6.85633 [x*(x^7-x^5-x^4+x^3+2*x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A265283 13.3245 [-(x^4-2*x-1)/(x+1)/(x-1)^2 ogf] A265283 7.25708 [(f(x)+45)*(f(x)*x^3+x^4-f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A265284 13.3435 [(x^4-2*x-1)/(x+1)/(x-1)^3 ogf] A265284 7.13997 [(17*f(x)-288)*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x-f(x)+2*x+1) ogf] A265284 8.47870 [-(-2*x^4-4*x^3+6*x^2+8*x+4)/(-x^6+x^4+2*x^3+x^2-2*x-1) lgdogf] A265379 4.53832 [(1859607181362800*f(x)-828308601494099)*(10000*f(x)*x^4-10001*f(x)*x^2+100*x^3-1100*x^2+f(x)-111*x-1) ogf] A265379 8.22570 [-(100*x^3-1100*x^2-111*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A265380 11.0794 [(x^2+x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A265381 12.6104 [(x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A265382 8.42662 [-(-2*x^4+5*x^3+11*x^2+12*x+4)/(-x^5+2*x^4+4*x^3-x^2-3*x-1) lgdogf] A265382 9.71540 [(x^3-2*x^2-3*x-1)/(x+1)^2/(x-1)^3 ogf] A265423 13.2273 [(x^4+48*x^3+102*x^2+48*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A265424 10.6551 [x*(x^3+24*x^2+51*x+24)/(x+1)/(x^2+1)/(x-1)^2 ogf] A265427 6.40372 [-(1000*x^5-1000*x^4-1100*x^3-100*x^2-11*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(100*x^2+1) ogf] A265428 11.7609 [-(x^4-2*x^3-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A265429 9.57355 [(x^4-2*x^3-x-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A265430 12.6141 [x*(2*x^3+2*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A265431 10.0000 [-x*(2*x^3+2*x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A265541 5.32386 [x*(8*x^19-x^17-x^16-x^15-x^14-x^13-x^12-x^11-x^10+2*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A265542 5.32386 [x*(8*x^19-x^17-x^16-x^15-x^14-x^13-x^12-x^11-x^10+3*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A265610 4.05114 [{(4*n^3+6*n^2+2*n)*a(n)+(-65*n^3-354*n^2-595*n-306)*a(n+1)+(16*n^3+96*n^2+128*n)*a(n+2),a(0)=-1,a(1)=0,a(2)=2} ogf] A265610 5.84825 [4*f(x)^2*x^3-f(x)^2*x^2+4*f(x)*x^3-5*f(x)*x^2+x^3+5*f(x)*x-2*x^2-f(x)+5*x-1 ogf] A265611 10.7168 [(x^4-2*x^3+2*x^2-x-1)/(x+1)/(x-1)^3 ogf] A265611 6.25149 [(207*f(x)-1420)*(f(x)*x^4-2*f(x)*x^3-x^4+2*x^3+2*f(x)*x-2*x^2-f(x)+x+1) ogf] A265611 8.59580 [-(4*x^3-5*x^2-2*x-3)/(x^6-2*x^5+x^4+x^3-3*x^2+x+1) lgdogf] A265612 4.10344 [{(28*n^2+126*n+140)*a(n+1)+(25*n^2+205*n+460)*a(n+2)+(-8*n^2-64*n-96)*a(n+3),a(0)=0,a(1)=1,a(2)=7} ogf] A265612 6.17184 [-4*f(x)^2*x^4+f(x)^2*x^3-4*f(x)*x^3+21*f(x)*x^2-13*f(x)*x-x^2+2*f(x)-2*x ogf] A265613 4.19658 [{(16*n^2+88*n+120)*a(n+1)+(16*n^2+146*n+370)*a(n+2)+(-5*n^2-45*n-70)*a(n+3),a(0)=0,a(1)=1,a(2)=8} ogf] A265645 8.53008 [x^2*(x^4+3*x^3+11*x^2+5*x+4)/(x+1)^3/(x-1)^4 ogf] A265645 8.60299 [-(3*x^5+13*x^4+62*x^3+50*x^2+55*x+9)/(x^6+3*x^5+10*x^4+2*x^3-7*x^2-5*x-4) lgdogf] A265667 10.7406 [x*(2*x^4+x^3+4*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A265672 5.55825 [x*(x^2+1)*(x^10+3*x^9+x^8+2*x^7+3*x^6+5*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A265676 8.41394 [x*(5*x^4-11*x^3-6*x^2-5*x-1)/(x^2+x+1)/(x-1)^3 ogf] A265688 11.3458 [(11*x+1)/(x-1)/(100*x-1)/(x+1) ogf] A265688 5.22267 [-(160034991*f(x)+7147700)*(100*f(x)*x^3-f(x)*x^2-100*f(x)*x+f(x)-11*x-1) ogf] A265688 5.39390 [{a(n+3)-100*a(n+2)-a(n+1)+100*a(n),a(0)=1,a(1)=111,a(2)=11101} ogf] A265688 6.92691 [-(2200*x^3+289*x^2-2*x-111)/(1100*x^4+89*x^3-1101*x^2-89*x+1) lgdogf] A265720 5.47910 [(1210000*x^5-10000*x^4-1100011*x^3+10001*x^2-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A265721 8.36394 [(144*x^5-16*x^4-99*x^3+17*x^2-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A265722 13.3208 [(4*x^3-x^2+1)/(x-1)^2/(x+1)^2 ogf] A265722 8.37697 [(f(x)+8)*(f(x)*x^4-2*f(x)*x^2-4*x^3+x^2+f(x)-1) ogf] A265722 9.12997 [-(4*x^4-2*x^3+12*x^2+2*x)/(4*x^5-x^4-4*x^3+2*x^2-1) lgdogf] A265723 10.0317 [-(-6*x^3+12*x^2+6*x+4)/(-3*x^4+4*x^3+6*x^2-4*x-3) lgdogf] A265723 13.3208 [-x*(3*x^2-4*x-3)/(x-1)^2/(x+1)^2 ogf] A265723 7.96634 [-(8*f(x)+57)*(f(x)*x^4-2*f(x)*x^2+3*x^3-4*x^2+f(x)-3*x) ogf] A265724 10.0710 [-(-9*x^3+13*x^2+13*x+7)/(-3*x^4+4*x^3+6*x^2-4*x-3) lgdogf] A265724 10.1953 [x*(3*x^2-4*x-3)/(x+1)^2/(x-1)^3 ogf] A265725 15.0264 [2*x^4/(2*x-1)/(x^3+x^2+x-1) ogf] A265725 7.04777 [f(x)*(2*f(x)*x^4+f(x)*x^3-2*x^4+f(x)*x^2-3*f(x)*x+f(x)) ogf] A265725 9.95498 [-(8*x^3+3*x^2+2*x-3)/(2*x^4+x^3+x^2-3*x+1) lgdogf] A265734 7.51840 [x*(2*x^8+x^7+4*x^6+3*x^5+6*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A265755 13.5097 [-x^3*(x^2-x-1)/(x^6-2*x^4-x^2+1) ogf] A265762 10.7520 [(x^2+x-3)/(x+1)/(x^2-3*x+1) ogf] A265762 5.80417 [(71*f(x)+13)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)-x+3) ogf] A265762 5.80418 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-3,a(1)=-5,a(2)=-15} ogf] A265762 6.76157 [-(-x^4-2*x^3+9*x^2-10*x-5)/(-x^5+x^4+7*x^3-5*x^2-7*x+3) lgdogf] A265802 12.8068 [-(5*x^2-9*x-1)/(x+1)/(x^2-3*x+1) ogf] A265802 6.67703 [(6719*f(x)+4321)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+5*x^2+f(x)-9*x-1) ogf] A265802 6.85275 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=19} ogf] A265802 7.73479 [-(-5*x^4+18*x^3-25*x^2+6*x-11)/(-5*x^5+19*x^4-7*x^3-25*x^2+7*x+1) lgdogf] A265803 10.7202 [(5*x^2-15*x-7)/(x+1)/(x^2-3*x+1) ogf] A265803 5.36009 [-(17581*f(x)-56148)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-5*x^2+f(x)+15*x+7) ogf] A265803 5.83028 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-7,a(1)=-29,a(2)=-67} ogf] A265804 11.7420 [-(11*x^2-17*x-1)/(x+1)/(x^2-3*x+1) ogf] A265804 6.06352 [(164221*f(x)+73164)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+11*x^2+f(x)-17*x-1) ogf] A265804 6.48902 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=19,a(2)=29} ogf] A265804 6.97875 [-(-11*x^4+34*x^3-53*x^2+18*x-19)/(-11*x^5+39*x^4-11*x^3-47*x^2+15*x+1) lgdogf] A265805 10.9304 [(7*x^2-29*x-9)/(x+1)/(x^2-3*x+1) ogf] A265805 5.50963 [(429436*f(x)-2793811)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-7*x^2+f(x)+29*x+9) ogf] A265805 5.89291 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-9,a(1)=-47,a(2)=-105} ogf] A265888 11.3487 [x*(3*x^3+2*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A265929 3.80059 [-(x+1)*(160*x^7+52*x^6-21*x^5+11*x^4-42*x^3-22*x^2-5*x-5)/(96*x^8+20*x^7-28*x^6+13*x^5-27*x^4-10*x^3+2*x^2-3*x+1) ogf] A265939 11.9440 [-1/2*(4*x+17+3*(1-4*x)^(1/2))/(x+2)/(-1+4*x) lgdogf] A265939 5.97199 [{(-16*n-24)*a(n+1)+(8*n+18)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=5,a(2)=21} ogf] A265939 9.48132 [-16*f(x)^2*x^2+8*f(x)^2*x-f(x)^2-12*f(x)*x+3*f(x)-x-2 ogf] A265945 21.0659 [2*ln(x+1)+2 lgdegf] A265948 15.8855 [-(-22*x-28)/(-22*x^2+19*x+3) lgdogf] A265948 17.5754 [4*(22*x+3)/(x-1)^2 ogf] A265948 9.07743 [(25*f(x)+1268)*(f(x)*x^2-2*f(x)*x+f(x)-88*x-12) ogf] A265948 9.71818 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=112} ogf] A265987 11.4819 [-2*(x+1)*(2*x-1)/(x-1)/(4*x^2+x-1) ogf] A265987 6.09041 [-(3*f(x)+4)*(4*f(x)*x^3-3*f(x)*x^2-2*f(x)*x+4*x^2+f(x)+2*x-2) ogf] A265987 6.25355 [{a(n+3)-2*a(n+2)-3*a(n+1)+4*a(n),a(0)=2,a(1)=2,a(2)=6} ogf] A265987 7.14692 [-(-8*x^4-8*x^3+11*x^2-2*x-1)/(-8*x^5+2*x^4+11*x^3-3*x^2-3*x+1) lgdogf] A265988 6.38964 [-(3*x^6-5*x^5-x^4-5*x^3-2*x^2+x+1)/(x-1)/(x^6-2*x^5-3*x^4-3*x^3-2*x^2+1) ogf] A265989 7.98071 [(8*x^6-x^5+10*x^4-21*x^3-5*x^2+4*x+2)/(2*x-1)/(2*x+1)/(x-1) ogf] A265992 4.17844 [(4*x^13-14*x^10-17*x^9-20*x^8-12*x^7-5*x^6-3*x^5-x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(2*x^3+x-1)/(2*x^4+x^2+1) ogf] A266007 14.6410 [-2*(2*x^2+1)/(2*x-1)/(2*x^2+x+1) ogf] A266007 7.63200 [{a(n+3)-a(n+2)-4*a(n),a(0)=2,a(1)=2,a(2)=6} ogf] A266007 8.44009 [-f(x)*(4*f(x)*x^3+f(x)*x+4*x^2-f(x)+2) ogf] A266007 8.85689 [-(-8*x^4-10*x^2-4*x-1)/(-8*x^5-6*x^3+2*x^2-x+1) lgdogf] A266008 10.1293 [-(2*x+1)*(x^2-3*x-1)/(x^4-3*x^3-3*x^2+x+1) ogf] A266008 5.30584 [-(6274*f(x)+2607)*(f(x)*x^4-3*f(x)*x^3-3*f(x)*x^2+2*x^3+f(x)*x-5*x^2+f(x)-5*x-1) ogf] A266009 4.40102 [(x^11-x^10+2*x^9-5*x^8+4*x^7-3*x^6-6*x^5-4*x^4-2*x^3+x^2+2*x+1)/(x-1)/(x^2+1)/(x^3+4*x^2+x-1) ogf] A266027 4.19797 [-(311552021*f(x)+14332262)*(f(x)*x^4-7*f(x)*x^3-7*f(x)*x^2-3*f(x)*x-x^2+f(x)-2*x-3) ogf] A266027 9.00433 [(x^2+2*x+3)/(x^4-7*x^3-7*x^2-3*x+1) ogf] A266028 3.34308 [(44467984363971*f(x)-2887376630834)*(72*f(x)*x^4-6*f(x)*x^3-46*f(x)*x^2+76*x^3-5*f(x)*x-x^2+f(x)-25*x-5) ogf] A266028 6.85125 [-(4*x+1)*(19*x^2-5*x-5)/(72*x^4-6*x^3-46*x^2-5*x+1) ogf] A266046 10.5537 [-(-12*x^2+12*x-2)/(-12*x^3+14*x^2-6*x+1) lgdogf] A266046 15.9478 [-(2*x-1)/(6*x^2-4*x+1) ogf] A266046 8.06351 [-(f(x)-2)*(6*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A266046 8.75187 [{-a(n+2)+4*a(n+1)-6*a(n),a(0)=1,a(1)=2} ogf] A266049 3.85402 [-(7748942531*f(x)-710643642)*(f(x)*x^4-7*f(x)*x^3-7*f(x)*x^2-x^3-3*f(x)*x+7*x^2+f(x)+2*x-3) ogf] A266049 7.90825 [(x^3-7*x^2-2*x+3)/(x^4-7*x^3-7*x^2-3*x+1) ogf] A266050 4.96966 [(14355*f(x)+80501)*(2*f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+6*x^3-2*f(x)*x+8*x^2+f(x)-8*x-2) ogf] A266050 9.35847 [-2*(3*x^3+4*x^2-4*x-1)/(2*x^4+2*x^3-2*x^2-2*x+1) ogf] A266068 5.56925 [(120000*x^5-10000*x^4-109901*x^3+10001*x^2-100*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(10*x^2-1) ogf] A266069 8.08419 [(64*x^5-16*x^4-45*x^3+17*x^2-4*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(2*x^2-1) ogf] A266070 10.3153 [-f(x)*x^2-x^3+x^2+f(x)-1 ogf] A266070 11.0938 [-(x^3-x^2+1)/(x-1)/(x+1) ogf] A266070 6.25504 [{-a(n+4)+a(n+2),a(0)=1,a(1)=0,a(2)=0,a(3)=1} ogf] A266071 10.4180 [(x^3-x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A266071 4.98575 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=10,a(2)=100,a(3)=1001} ogf] A266071 5.67484 [-(62*f(x)+63)*(10*f(x)*x^3-f(x)*x^2-x^3-10*f(x)*x+x^2+f(x)-1) ogf] A266071 6.52341 [-(-9*x^4+20*x^3+17*x^2-10)/(10*x^6-11*x^5-9*x^4+21*x^3-2*x^2-10*x+1) lgdogf] A266072 12.5668 [(3*x^3-x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A266072 8.00827 [(f(x)+11)*(f(x)*x^4-2*f(x)*x^2-3*x^3+x^2+f(x)-x-1) ogf] A266073 10.1571 [-(2*x^3-6*x^2-2*x-2)/(x^4-2*x^3-2*x^2+2*x+1) lgdogf] A266073 13.3208 [-2*x*(x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A266073 7.96634 [-(2*f(x)+13)*(f(x)*x^4-2*f(x)*x^2+2*x^3-4*x^2+f(x)-2*x) ogf] A266074 10.0483 [2*x*(x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A266074 10.1739 [-(3*x^3-7*x^2-5*x-3)/(x^4-2*x^3-2*x^2+2*x+1) lgdogf] A266076 7.10157 [-(7*x^8+x^7+10*x^6-3*x^5+5*x^4-2*x-2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^3+x-1) ogf] A266084 9.46368 [(4*x^5-x^4-x^3-x^2-x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A266085 11.0798 [-(12*x^2-12*x+6)/(4*x^3-x^2-4*x+1) lgdogf] A266085 12.8293 [-x*(4*x-1)/(x-1)/(x+1)^3 ogf] A266085 6.19721 [-(9475*f(x)-32959)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+4*x^2-f(x)-x) ogf] A266086 11.0739 [-(18*x^2-16*x+8)/(6*x^3-x^2-6*x+1) lgdogf] A266086 12.8224 [-x*(6*x-1)/(x-1)/(x+1)^3 ogf] A266086 6.30068 [(32781*f(x)-156593)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+6*x^2-f(x)-x) ogf] A266087 10.8442 [-(24*x^2-20*x+10)/(8*x^3-x^2-8*x+1) lgdogf] A266087 12.7467 [-x*(8*x-1)/(x-1)/(x+1)^3 ogf] A266087 6.15733 [(517347*f(x)-3153355)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+8*x^2-f(x)-x) ogf] A266088 10.9007 [-(27*x^2-22*x+11)/(9*x^3-x^2-9*x+1) lgdogf] A266088 12.8131 [-x*(9*x-1)/(x-1)/(x+1)^3 ogf] A266088 6.13738 [(1364200*f(x)-9218107)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+9*x^2-f(x)-x) ogf] A266090 7.65700 [(2*x-1)*(80*x^4+32*x^3-11*x^2+3*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(8*x^2-1) ogf] A266096 6.69557 [-(3*x^4+10*x^3-3*x^2-9*x-4)/(2*x^5+12*x^4-5*x^3-12*x^2-x+1) ogf] A266171 2.19722 [-f(x)^2*(-x^2+f(x)) ogf] A266175 5.30665 [(1110000*x^5-10000*x^4-1000001*x^3+10001*x^2-10*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266176 8.08846 [(112*x^5-16*x^4-65*x^3+17*x^2-2*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266179 14.0012 [-(110*x+1)/(100*x-1)/(100*x+1) ogf] A266179 7.47791 [-(-1100000*x^2-20000*x-110)/(-1100000*x^3-10000*x^2+110*x+1) lgdogf] A266179 8.65863 [(200*f(x)-79)*(10000*f(x)*x^2-f(x)+110*x+1) ogf] A266179 9.40080 [{a(n+2)-10000*a(n),a(0)=1,a(1)=110} ogf] A266180 10.6507 [(8*f(x)+1)*(16*f(x)*x^2-f(x)+6*x+1) ogf] A266180 10.6507 [-(-96*x^2-32*x-6)/(-96*x^3-16*x^2+6*x+1) lgdogf] A266180 11.1423 [{a(n+2)-16*a(n),a(0)=1,a(1)=6} ogf] A266180 17.2440 [-(6*x+1)/(4*x-1)/(4*x+1) ogf] A266193 9.25500 [x^2*(x^22+x^18-x^16+x^12+x^10+x^6+x^4+1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A266217 6.55141 [-(10000*x^5-10000*x^4-11001*x^3+10001*x^2-110*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266218 8.15853 [-(16*x^5-16*x^4-25*x^3+17*x^2-6*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266219 11.0794 [-(x^2-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A266219 5.67484 [-(1091*f(x)+1329)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+x^2+f(x)-x-1) ogf] A266219 5.96585 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=11,a(2)=110} ogf] A266219 6.98005 [-(-10*x^4+20*x^3+19*x^2-11)/(-10*x^5+11*x^4+19*x^3-12*x^2-9*x+1) lgdogf] A266220 8.05173 [-(x^5-x^4-3*x^3+2*x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A266221 8.13713 [(x^5-x^4-3*x^3+2*x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A266222 8.60888 [x*(x^4-x^3-2*x^2+5*x+1)/(x-1)^2/(x+1)^2 ogf] A266223 8.39081 [-x*(x^4-x^3-2*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A266238 11.1359 [-(8*x^3-6*x^2+x+1)/(4*x-1)/(4*x+1)/(x^2+1) ogf] A266238 6.72166 [(15377*f(x)-11113)*(16*f(x)*x^4+15*f(x)*x^2+8*x^3-6*x^2-f(x)+x+1) ogf] A266242 5.60838 [x*(7*x^11+7*x^10+7*x^9+7*x^8+7*x^7+7*x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+36)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A266244 4.88652 [(10000000000*x^7-110000000*x^6+109000000*x^5-989000*x^4+1100000*x^3-9900*x^2+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266245 7.55861 [(1024*x^7-384*x^6+320*x^5-40*x^4+96*x^3-12*x^2+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266246 11.1779 [(x^6-x^5-1)/(x-1)/(x+1) ogf] A266247 10.4180 [-(x^6-x^5-1)/(x-1)/(10*x-1)/(x+1) ogf] A266247 3.65448 [{a(n+4)-10*a(n+3)-a(n+2)+10*a(n+1),a(0)=1,a(1)=10,a(2)=101,a(3)=1010,a(4)=10101,a(5)=101011,a(6)=1010110} ogf] A266248 12.3694 [-(x^6-x^5-1)/(x+1)/(2*x-1)/(x-1) ogf] A266248 4.67448 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=10,a(4)=21,a(5)=43,a(6)=86} ogf] A266249 9.45899 [(x^7-2*x^6+x^5+x^4+2*x^3+1)/(x-1)^2/(x+1)^2 ogf] A266250 7.90198 [-(x^7-2*x^6+x^5+x^4+2*x^3+1)/(x+1)^2/(x-1)^3 ogf] A266251 8.64531 [-x*(x^6-2*x^5+x^4+x^3+x^2-3*x-3)/(x-1)^2/(x+1)^2 ogf] A266252 7.30814 [x*(x^6-2*x^5+x^4+x^3+x^2-3*x-3)/(x+1)^2/(x-1)^3 ogf] A266254 3.82958 [(2420000000000000*f(x)+11187058767626131)*(10000*f(x)*x^4+100000*x^4-10001*f(x)*x^2-111000*x^3+9990*x^2+f(x)-100*x-1) ogf] A266254 6.50230 [-(100000*x^4-111000*x^3+9990*x^2-100*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266255 6.12588 [(737280*f(x)+1469063)*(16*f(x)*x^4+32*x^4-17*f(x)*x^2-56*x^3+14*x^2+f(x)-4*x-1) ogf] A266255 9.81713 [-(32*x^4-56*x^3+14*x^2-4*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266256 12.5668 [-(x^4-3*x^3-x-1)/(x-1)^2/(x+1)^2 ogf] A266256 7.56336 [-(16*f(x)+113)*(f(x)*x^4+x^4-2*f(x)*x^2-3*x^3+f(x)-x-1) ogf] A266257 9.62212 [(x^4-3*x^3-x-1)/(x+1)^2/(x-1)^3 ogf] A266258 11.7144 [x*(x^3-2*x^2+3*x+2)/(x-1)^2/(x+1)^2 ogf] A266258 7.62538 [(8*f(x)+31)*(f(x)*x^4-x^4-2*f(x)*x^2+2*x^3-3*x^2+f(x)-2*x) ogf] A266259 8.39081 [-(2*x^4-5*x^3+13*x^2+9*x+5)/(x^5-2*x^4+2*x^3+4*x^2-3*x-2) lgdogf] A266259 9.14504 [-x*(x^3-2*x^2+3*x+2)/(x+1)^2/(x-1)^3 ogf] A266278 5.71719 [-(x^4+5*x^3+3*x-5)*(x+1)^2/(x^2+1)/(x^5-2*x^4-21*x^3+15*x^2-10*x+1) ogf] A266279 10.2102 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A266279 14.0173 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A266279 25.0613 [x/(x-1)^2 ogf] A266279 29.5366 [2/(-x+1) lgdogf] A266279 63.3938 [[2] ogf_with_Euler_transform] A266283 5.86525 [(1100000*x^5-1000000*x^3+10000*x^2-10*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266284 9.01817 [(96*x^5-64*x^3+16*x^2-2*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266285 10.0912 [-(-2*x^4-9*x^2-4*x-1)/(-2*x^5+x^3-x^2+x+1) lgdogf] A266285 14.1632 [(2*x^3+x+1)/(x-1)^2/(x+1)^2 ogf] A266285 8.40939 [(32*f(x)-397)*(f(x)*x^4-2*f(x)*x^2-2*x^3+f(x)-x-1) ogf] A266286 10.2323 [-(-2*x^3+9*x^2+6*x+3)/(-x^4+3*x^3+3*x^2-3*x-2) lgdogf] A266286 13.4194 [-x*(x^2-3*x-2)/(x-1)^2/(x+1)^2 ogf] A266286 8.18584 [(32*f(x)-281)*(f(x)*x^4-2*f(x)*x^2+x^3-3*x^2+f(x)-2*x) ogf] A266287 10.0483 [x*(x^2-3*x-2)/(x+1)^2/(x-1)^3 ogf] A266287 9.92572 [-(-3*x^3+11*x^2+11*x+5)/(-x^4+3*x^3+3*x^2-3*x-2) lgdogf] A266297 11.1052 [x*(x^3+5*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A266299 13.7095 [-100*f(x)*x+f(x)-10*x-1 ogf] A266299 15.6680 [-110/(1000*x^2+90*x-1) lgdogf] A266299 16.4514 [-(10*x+1)/(100*x-1) ogf] A266299 8.65863 [{a(n+2)-100*a(n+1),a(0)=1,a(1)=110} ogf] A266301 4.91867 [(2222000000000000*f(x)-825644718773109)*(10000*f(x)*x^4-10001*f(x)*x^2-11000*x^3+10000*x^2+f(x)-110*x-1) ogf] A266301 8.77063 [(11000*x^3-10000*x^2+110*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266302 11.0976 [(24*x^3-16*x^2+6*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266302 6.65857 [(122880*f(x)+168467)*(16*f(x)*x^4-17*f(x)*x^2-24*x^3+16*x^2+f(x)-6*x-1) ogf] A266303 12.3290 [(2*x^3-x^2+2*x+1)/(x-1)^2/(x+1)^2 ogf] A266303 7.8567 [(4*f(x)+63)*(f(x)*x^4-2*f(x)*x^2-2*x^3+x^2+f(x)-2*x-1) ogf] A266303 9.00431 [-(-2*x^4+2*x^3-12*x^2-2*x-2)/(-2*x^5+x^4-2*x^2+2*x+1) lgdogf] A266304 10.0483 [-(3*x^3-15*x^2-7*x-5)/(x^4-4*x^3-2*x^2+4*x+1) lgdogf] A266304 10.0483 [x*(x^2-4*x-1)/(x+1)^2/(x-1)^3 ogf] A266313 10.0070 [-x*(x+1)*(x^2+1)/(x-1)/(x^4+1) ogf] A266313 25.1240 [x^7-2*x^3+2 ogf_with_Euler_transform] A266323 6.43120 [-(100000*x^5-10000*x^4-101010*x^3+10001*x^2-101*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266324 8.15853 [-(32*x^5-16*x^4-42*x^3+17*x^2-5*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266327 11.5595 [(2*f(x)+119)*(f(x)*x^2-f(x)+11*x+1) ogf] A266327 11.8995 [-(-11*x^2-2*x-11)/(-11*x^3-x^2+11*x+1) lgdogf] A266327 12.4487 [{a(n+2)-a(n),a(0)=1,a(1)=11} ogf] A266327 19.2658 [-(11*x+1)/(x-1)/(x+1) ogf] A266333 6.03248 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^3+x-1)/(x^4+x^3+x^2+x+1) ogf] A266334 4.19722 [(x^2+x+1)*(x^2-x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^3/(x-1)/(x^13+x^12+2*x^11+2*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3-1) ogf] A266335 6.88235 [(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1) ogf] A266336 8.05257 [(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x-1)/(x^5+x^4+x-1) ogf] A266337 9.58705 [(x+1)*(x^2+x+1)*(x^2+1)/(x-1)/(x^4+x^3+x^2+x-1) ogf] A266338 6.87330 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^7+x^6+x^5+x^4+x^3-1) ogf] A266339 8.00838 [(x^2+1)*(x+1)^3/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A266340 6.57676 [(x^2+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^5+x^3+x-1) ogf] A266353 9.08338 [(x+1)*(x^2+x+1)*(x^2+1)/(x^3+x-1)/(x-1) ogf] A266354 4.66640 [(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^3/(x-1)/(x^9+x^7+x^6+x^4+x^2+x-1) ogf] A266355 6.14318 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^7+x^6+2*x^5+2*x^4+x^3+x^2-1) ogf] A266357 6.05786 [-(x^9-5*x^8+9*x^7-6*x^6+6*x^2-7*x+4)/(x+1)/(x^2+x+1)/(x-1)^7 ogf] A266365 4.01977 [{(2*n^2-47*n+276)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=325} ogf] A266367 10.9436 [(x^2+1)*(x+1)^2/(x-1)/(3*x^3+x^2+x-1) ogf] A266367 6.85088 [-f(x)*(3*f(x)*x^4-2*f(x)*x^3-x^4-2*x^3-2*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A266367 7.20221 [-(-8*x^5-4*x^4-16*x^3+8*x^2+4)/(-3*x^7-x^6-x^5+x^4+3*x^3+x^2+x-1) lgdogf] A266370 8.02594 [(x^2+1)*(x+1)^3/(x-1)/(2*x^4+3*x^3+x^2-1) ogf] A266371 6.04142 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^2/(x-1)/(x^7+x^6+2*x^5+x^4+x^3+x-1) ogf] A266372 4.93690 [(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x-1) ogf] A266373 6.20084 [(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^3/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) ogf] A266374 8.60969 [(x+1)^2*(x^2+x+1)*(x^2-x+1)/(x-1)/(3*x^5+x^4+x^3+x^2+x-1) ogf] A266375 7.14978 [(x^2+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^5+x^4+x^2+x-1) ogf] A266376 8.53449 [(x^2+1)*(x^2-x+1)*(x+1)^3/(x-1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A266379 6.34550 [-(1000000*x^5-10000*x^4-1001100*x^3+10001*x^2-11*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266380 8.15853 [-(64*x^5-16*x^4-76*x^3+17*x^2-3*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266387 10.8117 [7*x^5/(x-1)^6 ogf] A266387 27.8016 [6/(-x+1) lgdogf] A266387 5.29554 [{(-3+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=7} ogf] A266387 59.4413 [[6] ogf_with_Euler_transform] A266393 5.60976 [12*(2*x^3+3*x^2+4*x+1)/(x-1)^6 egf] A266393 6.75875 [-(-6*x^3-18*x^2-26*x-10)/(-2*x^4-x^3-x^2+3*x+1) lgdegf] A266395 12.5935 [-15*x^4/(x-1)^5 ogf] A266395 28.7851 [5/(-x+1) lgdogf] A266395 5.88309 [{(-2+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=15} ogf] A266395 6.71653 [f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3+15*x^4-10*f(x)*x^2+5*f(x)*x-f(x) ogf] A266395 61.5592 [[5] ogf_with_Euler_transform] A266396 10.0731 [x^3*(9*x-10)/(x-1)^5 ogf] A266396 15.4970 [-(-36*x+41)/(-9*x^2+19*x-10) lgdogf] A266396 4.82542 [-(58985*f(x)-1111111111)*(f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3-9*x^4-10*f(x)*x^2+10*x^3+5*f(x)*x-f(x)) ogf] A266396 5.16567 [{-10*n*a(n+3)+(22+19*n)*a(n+2)+(-18-9*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=10} ogf] A266397 11.7742 [-x^2*(5*x-9)/(x-1)^4 ogf] A266397 15.9298 [-(-15*x+31)/(-5*x^2+14*x-9) lgdogf] A266397 5.38026 [{(-9-9*n)*a(n+3)+(31+14*n)*a(n+2)+(-10-5*n)*a(n+1),a(0)=0,a(1)=0,a(2)=9} ogf] A266397 6.10842 [(331*f(x)-729)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-9*x^2+f(x)) ogf] A266398 11.4592 [-x^2*(11*x-12)/(x-1)^4 ogf] A266398 15.3510 [-(-33*x+37)/(-11*x^2+23*x-12) lgdogf] A266398 5.24904 [{(-12-12*n)*a(n+3)+(37+23*n)*a(n+2)+(-22-11*n)*a(n+1),a(0)=0,a(1)=0,a(2)=12} ogf] A266398 5.85324 [(604*f(x)+3006865)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+11*x^3-4*f(x)*x-12*x^2+f(x)) ogf] A266423 3.78084 [-(x^11-5*x^10+8*x^9-x^8-9*x^7+6*x^6+6*x^4-9*x^3-x^2+6*x-4)/(x^2+x+1)/(x+1)^2/(x-1)^8 ogf] A266429 5.67399 [-(x^6-7*x^5+21*x^4-34*x^3+32*x^2-15*x+4)/(x-1)^7 ogf] A266435 5.00715 [{-a(n+5)+10001*a(n+3)-10000*a(n+1),a(0)=1,a(1)=111,a(2)=0,a(3)=1111111,a(4)=0} ogf] A266435 6.49075 [10000*f(x)*x^4-10000*x^4-10001*f(x)*x^2-1000*x^3+10001*x^2+f(x)-111*x-1 ogf] A266435 7.45746 [(10000*x^4+1000*x^3-10001*x^2+111*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266436 5.54525 [{-a(n+5)+17*a(n+3)-16*a(n+1),a(0)=1,a(1)=7,a(2)=0,a(3)=127,a(4)=0} ogf] A266436 7.7999 [16*f(x)*x^4-16*x^4-17*f(x)*x^2-8*x^3+17*x^2+f(x)-7*x-1 ogf] A266436 9.21808 [(16*x^4+8*x^3-17*x^2+7*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266437 5.25960 [{-a(n+5)+2*a(n+3)-a(n+1),a(0)=1,a(1)=3,a(2)=0,a(3)=7,a(4)=0} ogf] A266437 7.49644 [f(x)*x^4-x^4-2*f(x)*x^2-x^3+2*x^2+f(x)-3*x-1 ogf] A266437 8.93411 [(x^4+x^3-2*x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A266438 8.83710 [-(x^4+x^3-2*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A266439 11.5545 [-(2*x^3-18*x)/(x^4-6*x^2+5) lgdogf] A266439 11.5545 [-x^2*(x^2-5)/(x-1)^2/(x+1)^2 ogf] A266439 6.21327 [{(2*n+5)*a(n)+(-2*n-1)*a(n+2),a(0)=0,a(1)=0,a(2)=5} ogf] A266439 7.40007 [-f(x)*(f(x)*x^4+x^4-2*f(x)*x^2-5*x^2+f(x)) ogf] A266440 10.5187 [x^2*(x^2-5)/(x+1)^2/(x-1)^3 ogf] A266440 11.7382 [-(3*x^3+x^2-23*x-5)/(x^4-6*x^2+5) lgdogf] A266443 5.29147 [(4096*x^9-1536*x^8-3584*x^7+1504*x^6-448*x^5+24*x^4-48*x^3+9*x^2-x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(2*x^2-1) ogf] A266444 6.63091 [-(x^13-x^11-x^10+x^9+x^4-x^2+1)/(x-1)/(x+1) ogf] A266446 7.89905 [(x^13-x^11-x^10+x^9+x^4-x^2+1)/(x+1)/(2*x-1)/(x-1) ogf] A266447 9.12997 [(x^7-2*x^6+x^5+x^4+x^3+x+1)/(x-1)^2/(x+1)^2 ogf] A266448 7.46706 [-(x^7-2*x^6+x^5+x^4+x^3+x+1)/(x+1)^2/(x-1)^3 ogf] A266449 9.45899 [-x*(x^2-x-1)*(x^4-x^3+x^2+x+2)/(x-1)^2/(x+1)^2 ogf] A266450 7.75151 [x*(x^2-x-1)*(x^4-x^3+x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A266460 5.61490 [(110000*x^5-10000*x^4-99900*x^3+10001*x^2-101*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(10*x^2-1) ogf] A266461 8.08419 [(48*x^5-16*x^4-28*x^3+17*x^2-5*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(2*x^2-1) ogf] A266464 8.04559 [-(-x^5+3*x^4+2*x^3-2*x^2+2*x+4)/(-x^6+3*x^5-5*x^3+3*x^2+2*x-2) lgdogf] A266464 8.99722 [-(x^4-3*x^3+x^2+2*x-2)/(x+1)/(x-1)^4 ogf] A266465 3.81192 [-(x^11-5*x^10+7*x^9-7*x^7+3*x^6+x^5+5*x^4-7*x^3-3*x^2+5*x-2)/(x^2+x+1)/(x+1)^2/(x-1)^8 ogf] A266471 6.56814 [-(x^5-11*x^4+28*x^3-32*x^2+18*x-5)/(x-1)^6 ogf] A266472 3.45065 [-(4*x^9-30*x^8+109*x^7-248*x^6+382*x^5-410*x^4+303*x^3-147*x^2+41*x-6)/(x-1)^10 ogf] A266491 8.47789 [x*(2*x^4+x^2+2*x+1)/(x^2+1)^2/(x-1)^2 ogf] A266491 9.67476 [-(4*x^6+16*x^3+4)/(2*x^7-2*x^6+3*x^5-x^4-x-1) lgdogf] A266504 13.0531 [(x-1)*(x^2+4*x+2)/(x^4+2*x^2-1) ogf] A266504 8.08049 [(140*f(x)-233)*(f(x)*x^4+2*f(x)*x^2-x^3-3*x^2-f(x)+2*x+2) ogf] A266505 14.0032 [-(3*x-1)*(x+1)^2/(x^4+2*x^2-1) ogf] A266505 8.05496 [-(-3*x^5-7*x^4+10*x^3-6*x^2-5*x-1)/(-3*x^6-2*x^5-5*x^4-4*x^3+5*x^2+2*x-1) lgdogf] A266505 8.35055 [-(350*f(x)+981)*(f(x)*x^4+2*f(x)*x^2+3*x^3+5*x^2-f(x)+x-1) ogf] A266506 8.92380 [-(3*x^7-x^6+5*x^5-3*x^4+x^3+2*x^2-x+2)/(x^8+2*x^4-1) ogf] A266507 11.2878 [-(-2*x^2+2*x-4)/(-2*x^3+13*x^2-8*x+1) lgdogf] A266507 16.3046 [-2*(2*x-1)/(x^2-6*x+1) ogf] A266507 7.88931 [-(513*f(x)-514)*(f(x)*x^2-6*f(x)*x+f(x)+4*x-2) ogf] A266507 8.94762 [{a(n+2)-6*a(n+1)+a(n),a(0)=2,a(1)=8} ogf] A266508 10.9063 [-(10*x^2-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A266508 5.81671 [(1654*f(x)-3885)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+10*x^2+f(x)-x-1) ogf] A266508 5.96585 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=11,a(2)=101} ogf] A266508 6.46301 [-(-100*x^4+20*x^3-71*x^2+18*x-11)/(-100*x^5+20*x^4+109*x^3-21*x^2-9*x+1) lgdogf] A266515 5.34910 [(1100000*x^5-10000*x^4-990000*x^3+10001*x^2-11*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266516 8.17272 [(96*x^5-16*x^4-48*x^3+17*x^2-3*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266527 3.91417 [(10*x^8-130*x^7-1009*x^6+2168*x^5+2134*x^4-272*x^3-158*x^2-8*x+1)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A266542 9.50943 [-(2*x^4-3*x^3+x^2-x+2)/(x^2+x+1)/(x-1)^3 ogf] A266550 13.4637 [(x^3+x^2-2*x+1)/(2*x-1)/(x-1) ogf] A266550 7.20426 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=5} ogf] A266550 8.13154 [(7*f(x)-4)*(2*f(x)*x^2-x^3-3*f(x)*x-x^2+f(x)+2*x-1) ogf] A266550 8.55506 [-(-2*x^4+6*x^3-4*x^2+2*x-1)/(2*x^5-x^4-6*x^3+9*x^2-5*x+1) lgdogf] A266561 16.2264 [-(12*x+14)/(x^2-1) lgdogf] A266561 33.5576 [[14-x] ogf_with_Euler_transform] A266561 4.63611 [-(x+1)/(x-1)^13 ogf] A266561 5.36988 [{(-n-3)*a(n+3)+14*a(n+2)+(13+n)*a(n+1),a(0)=1,a(1)=14,a(2)=104} ogf] A266575 13.6536 [-(5*x^2+3*x+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A266575 99.9999 Evaluated at exp(-Pi) 1/32*exp(Pi)*Pi^(5/4)/GAMMA(3/4)^5 A266589 4.26730 [(1010100000*x^7-10100000*x^6-1009091010*x^5+10091010*x^4-898991*x^3+8991*x^2-10*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266590 6.49352 [(672*x^7-160*x^6-602*x^5+154*x^4-23*x^3+7*x^2-2*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266591 11.1779 [f(x)*x^2-x^3-f(x)+x+1 ogf] A266591 12.0904 [(x^3-x-1)/(x-1)/(x+1) ogf] A266591 6.23609 [{a(n+4)-a(n+2),a(0)=1,a(1)=1,a(2)=1,a(3)=0} ogf] A266592 11.0794 [-(x^3-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A266592 4.98575 [{a(n+4)-10*a(n+3)-a(n+2)+10*a(n+1),a(0)=1,a(1)=11,a(2)=111,a(3)=1110} ogf] A266592 5.58405 [-(12200*f(x)+26983)*(10*f(x)*x^3-f(x)*x^2+x^3-10*f(x)*x+f(x)-x-1) ogf] A266592 6.91094 [-(-x^4+32*x^2-2*x-11)/(-10*x^6+x^5+20*x^4+8*x^3-11*x^2-9*x+1) lgdogf] A266593 11.1311 [(3*x^5-2*x^4+x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A266594 8.96448 [-(3*x^5-2*x^4+x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A266595 10.4973 [-x*(3*x^4-2*x^3-x^2-2*x-2)/(x-1)^2/(x+1)^2 ogf] A266596 8.43175 [x*(3*x^4-2*x^3-x^2-2*x-2)/(x+1)^2/(x-1)^3 ogf] A266606 5.70848 [(20000*x^5-10000*x^4-9891*x^3+10001*x^2-110*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(10*x^2-1) ogf] A266607 8.08419 [(32*x^5-16*x^4-11*x^3+17*x^2-6*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(2*x^2-1) ogf] A266609 5.33045 [(110111000*x^5-1010000*x^4+1100100*x^3-9899*x^2+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(x^2+1) ogf] A266610 8.19612 [(440*x^5-80*x^4+100*x^3-11*x^2+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(x^2+1) ogf] A266611 11.0938 [-(x^5-x^4+1)/(x-1)/(x+1) ogf] A266611 7.44271 [(f(x)-1)*(x^5-x^4+f(x)*x^2-f(x)+1) ogf] A266612 10.4180 [(x^5-x^4+1)/(x-1)/(10*x-1)/(x+1) ogf] A266612 4.03471 [{a(n+4)-10*a(n+3)-a(n+2)+10*a(n+1),a(0)=1,a(1)=10,a(2)=101,a(3)=1010,a(4)=10100,a(5)=101001} ogf] A266613 12.3694 [(x^5-x^4+1)/(x+1)/(2*x-1)/(x-1) ogf] A266613 5.05667 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=10,a(4)=20,a(5)=41} ogf] A266614 9.50931 [(5*x^5-2*x^4+3*x^3+x^2+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A266615 7.34255 [-(5*x^5-2*x^4+3*x^3+x^2+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A266616 9.50931 [-x*(4*x^4-5*x^3-x^2-3*x-3)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A266617 7.30814 [x*(4*x^4-5*x^3-x^2-3*x-3)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A266648 13.5581 [-(x^5+x^4+x^3+2*x^2+x+1)/(x^6-1) ogf_with_Euler_transform] A266660 5.77982 [(100000*x^5-100000*x^4+10990*x^3-9990*x^2+110*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266661 8.80156 [(32*x^5-32*x^4+22*x^3-14*x^2+6*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266662 11.1896 [(x^5-x^4+x^3+2*x+1)/(x-1)^2/(x+1)^2 ogf] A266663 8.83710 [-(x^5-x^4+x^3+2*x+1)/(x+1)^2/(x-1)^3 ogf] A266664 11.7144 [-x*(x^4-x^3-3*x-1)/(x-1)^2/(x+1)^2 ogf] A266665 9.14504 [x*(x^4-x^3-3*x-1)/(x+1)^2/(x-1)^3 ogf] A266667 5.41509 [(20000*x^4+1000*x^3-8891*x^2+111*x+1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266668 8.00593 [(32*x^4+8*x^3-3*x^2+7*x+1)/(x-1)/(4*x-1)/(2*x+1)/(4*x+1)/(x+1) ogf] A266670 5.37053 [(2000000*x^5-10000*x^4-890100*x^3+10001*x^2-11*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(1000*x^2-1) ogf] A266671 7.65700 [(128*x^5-16*x^4-20*x^3+17*x^2-3*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(8*x^2-1) ogf] A266674 3.92443 [(2048*x^10-1472*x^8-128*x^7+248*x^6+64*x^5-40*x^3+17*x^2-x-1)/(x-1)/(4*x-1)/(2*x-1)/(4*x+1)/(x+1)/(4*x^2+2*x+1)/(8*x^2-1)/(2*x^2-1) ogf] A266677 10.9157 [-(12*x^2-14*x+6)/(3*x^3-x^2-3*x+1) lgdogf] A266677 3.79175 [{(n+3)*a(n+4)-3*n*a(n+3)+(-15-n)*a(n+2)+(12+3*n)*a(n+1),a(0)=0,a(1)=-1,a(2)=6,a(3)=-16} ogf] A266677 9.86895 [-x*(3*x-1)/(x-1)/(x+1)^4 ogf] A266678 13.5975 [-x^3-f(x)*x+x^2+f(x)-1 ogf] A266678 15.8175 [-(x^3-x^2+1)/(x-1) ogf] A266678 8.15849 [{a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A266678 9.68821 [-(2*x^3-4*x^2+2*x-1)/(-x^4+2*x^3-x^2-x+1) lgdogf] A266680 11.8306 [(x^3-x^2+1)/(10*x-1)/(x-1) ogf] A266680 5.72135 [{a(n+4)-11*a(n+3)+10*a(n+2),a(0)=1,a(1)=11,a(2)=110,a(3)=1101} ogf] A266680 6.46302 [-(992*f(x)+1307)*(10*f(x)*x^2-x^3-11*f(x)*x+x^2+f(x)-1) ogf] A266680 6.64767 [-(-10*x^4+22*x^3-14*x^2+22*x-11)/(10*x^5-21*x^4+12*x^3+9*x^2-11*x+1) lgdogf] A266684 10.3416 [-(4*x^3-3*x^2+4*x+1)/(-x^4+x^3-x+1) ogf_with_Euler_transform] A266698 12.1171 [-(-x^2+2*x-15)/(-x^3+17*x^2-17*x+1) lgdogf] A266698 17.6488 [-3*(x-1)/(x^2-16*x+1) ogf] A266698 8.7295 [-(238*f(x)-39)*(f(x)*x^2-16*f(x)*x+f(x)+3*x-3) ogf] A266698 9.66480 [{a(n+2)-16*a(n+1)+a(n),a(0)=3,a(1)=45} ogf] A266699 10.9810 [(8*x^3-17*x^2-3*x+4)/(x+1)/(x^2-3*x+1) ogf] A266699 5.77948 [{-a(n+4)+2*a(n+3)+2*a(n+2)-a(n+1),a(0)=4,a(1)=5,a(2)=1,a(3)=16} ogf] A266699 5.95869 [(22543*f(x)-123431)*(f(x)*x^3-2*f(x)*x^2-8*x^3-2*f(x)*x+17*x^2+f(x)+3*x-4) ogf] A266699 6.86313 [-(-x^4+26*x^3-40*x^2+18*x-5)/(8*x^6-33*x^5+15*x^4+52*x^3-19*x^2-11*x+4) lgdogf] A266700 11.3650 [2*x*(4*x-5)/(x+1)/(x^2-3*x+1) ogf] A266700 5.53922 [-(14767*f(x)+6808)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-8*x^2+f(x)+10*x) ogf] A266700 5.83335 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=-10,a(2)=-12} ogf] A266700 7.84724 [-(-8*x^3+23*x^2-20*x-6)/(-4*x^4+13*x^3-2*x^2-14*x+5) lgdogf] A266701 10.6236 [(18*x^3-35*x^2-7*x+9)/(x+1)/(x^2-3*x+1) ogf] A266701 5.62892 [{a(n+4)-2*a(n+3)-2*a(n+2)+a(n+1),a(0)=9,a(1)=11,a(2)=5,a(3)=41} ogf] A266701 5.7142 [(174161*f(x)-1949784)*(f(x)*x^3-2*f(x)*x^2-18*x^3-2*f(x)*x+35*x^2+f(x)+7*x-9) ogf] A266702 4.74341 [{a(n+4)-2*a(n+3)-2*a(n+2)+a(n+1),a(0)=3,a(1)=-25,a(2)=-35,a(3)=-117} ogf] A266702 4.88714 [-(18228*f(x)-56809)*(f(x)*x^3-2*f(x)*x^2-6*x^3-2*f(x)*x-9*x^2+f(x)+31*x-3) ogf] A266702 9.21577 [(6*x^3+9*x^2-31*x+3)/(x+1)/(x^2-3*x+1) ogf] A266703 9.06986 [(2*x^5-4*x^4+14*x^3-39*x^2-7*x+9)/(x+1)/(x^2-3*x+1) ogf] A266704 7.58043 [(34*x^5-68*x^4-74*x^3+61*x^2-13*x-3)/(x+1)/(x^2-3*x+1) ogf] A266705 10.9678 [(2*x^3-13*x^2+9*x+1)/(x+1)/(x^2-3*x+1) ogf] A266705 5.68699 [{-a(n+4)+2*a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=11,a(2)=11,a(3)=45} ogf] A266705 5.86064 [-(8784*f(x)-19069)*(f(x)*x^3-2*f(x)*x^2-2*x^3-2*f(x)*x+13*x^2+f(x)-9*x-1) ogf] A266705 6.85486 [-(-9*x^4+26*x^3-47*x^2+22*x-11)/(2*x^6-17*x^5+31*x^4+11*x^3-33*x^2+7*x+1) lgdogf] A266706 4.79132 [{-a(n+4)+2*a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=-23,a(2)=-45,a(3)=-135} ogf] A266706 4.97419 [(252659*f(x)-1682579)*(f(x)*x^3-2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)+25*x-1) ogf] A266706 9.30886 [(2*x^3-x^2-25*x+1)/(x+1)/(x^2-3*x+1) ogf] A266707 11.2880 [(2*x^3-8*x^2+3*x+1)/(x+1)/(x^2-3*x+1) ogf] A266707 5.85620 [{a(n+4)-2*a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=5,a(2)=4,a(3)=19} ogf] A266707 5.9456 [-(17803*f(x)-32339)*(f(x)*x^3-2*f(x)*x^2-2*x^3-2*f(x)*x+8*x^2+f(x)-3*x-1) ogf] A266707 7.01689 [-(-4*x^4+14*x^3-25*x^2+12*x-5)/(2*x^6-12*x^5+15*x^4+13*x^3-16*x^2+x+1) lgdogf] A266708 11.4786 [2*x*(x-5)/(x+1)/(x^2-3*x+1) ogf] A266708 5.7393 [(11647*f(x)-22538)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)+10*x) ogf] A266708 5.89168 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=-10,a(2)=-18} ogf] A266708 8.02120 [-(-2*x^3+17*x^2-20*x-9)/(-x^4+7*x^3-8*x^2-11*x+5) lgdogf] A266709 10.6151 [(5*x^2-11*x-7)/(x+1)/(x^2-3*x+1) ogf] A266709 5.26508 [-(57847*f(x)-121935)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-5*x^2+f(x)+11*x+7) ogf] A266709 5.77312 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-7,a(1)=-25,a(2)=-59} ogf] A266710 5.69863 [-(18*x^7-92*x^6-260*x^5+301*x^4+46*x^3+x^2+6*x-1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266711 5.25477 [2*(18*x^7-88*x^6-280*x^5+237*x^4+156*x^3-49*x^2-16*x+3)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266712 5.28858 [-(14*x^7-56*x^6-280*x^5+7*x^4+180*x^3+103*x^2+18*x-5)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266713 5.19294 [-2*(2*x^7-12*x^6-20*x^5+57*x^4-22*x^3-21*x^2-4*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266717 5.20692 [-(1000000*x^6-110000*x^5-990100*x^4+99900*x^3-9901*x^2+101*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(10*x^2-1) ogf] A266718 7.58749 [-(2*x-1)*(32*x^5-8*x^4-30*x^3-x^2-7*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(2*x^2-1) ogf] A266719 11.1779 [(x^4-x^3-1)/(x-1)/(x+1) ogf] A266719 7.13769 [-(f(x)+3)*(-x^4+f(x)*x^2+x^3-f(x)+1) ogf] A266720 10.4180 [-(x^4-x^3-1)/(x-1)/(10*x-1)/(x+1) ogf] A266720 4.71625 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=10,a(2)=101,a(3)=1011,a(4)=10110} ogf] A266720 5.49611 [(50596*f(x)+1822333)*(10*f(x)*x^3+x^4-f(x)*x^2-x^3-10*f(x)*x+f(x)-1) ogf] A266721 12.3694 [-(x^4-x^3-1)/(x+1)/(2*x-1)/(x-1) ogf] A266721 5.50692 [{a(n+5)-2*a(n+4)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=11,a(4)=22} ogf] A266721 6.81365 [(24*f(x)+293)*(2*f(x)*x^3+x^4-f(x)*x^2-x^3-2*f(x)*x+f(x)-1) ogf] A266722 12.3290 [-(x^2+1)*(x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A266722 7.63223 [-(3*f(x)-2)*(f(x)*x^4+x^4-2*f(x)*x^2-2*x^3+f(x)-2*x-1) ogf] A266723 9.76225 [(x^2+1)*(x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A266724 11.7144 [x*(x^3-x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A266724 7.698 [(2*f(x)+7)*(f(x)*x^4-x^4-2*f(x)*x^2+x^3-3*x^2+f(x)-x) ogf] A266725 8.39081 [-(-2*x^4+2*x^3-14*x^2-6*x-4)/(-x^5+x^4-2*x^3-2*x^2+3*x+1) lgdogf] A266725 9.14504 [-x*(x^3-x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A266732 10.9096 [10*x/(x-1)^6 ogf] A266732 28.4428 [6/(-x+1) lgdogf] A266732 60.7619 [[6] ogf_with_Euler_transform] A266732 7.65767 [{(n+1)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=10} ogf] A266733 28.2078 [8/(-x+1) lgdogf] A266733 60.1751 [[8] ogf_with_Euler_transform] A266733 7.59440 [{(n+1)*a(n+2)+(-8-n)*a(n+1),a(0)=0,a(1)=21} ogf] A266733 8.67932 [21*x/(x-1)^8 ogf] A266744 12.1168 [-1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^5 ogf] A266744 25.2233 [x^6+x^4+x^3+x^2+1 ogf_with_Euler_transform] A266745 4.33556 [1/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^6 ogf] A266746 18.4465 [x^10+x^8+x^6+x^5+x^4+x^2+1 ogf_with_Euler_transform] A266748 18.8532 [x^7+x^16/(x^2-1)-1/(x^2-1) ogf_with_Euler_transform] A266749 18.5831 [-1/(x^2-1)+x^8+x^18/(x^2-1) ogf_with_Euler_transform] A266750 18.5831 [-1/(x^2-1)+x^9+x^20/(x^2-1) ogf_with_Euler_transform] A266751 18.3546 [-1/(x^2-1)+x^10+x^22/(x^2-1) ogf_with_Euler_transform] A266752 11.3458 [(10*x^2-x+1)/(100*x-1)/(x-1) ogf] A266752 5.87550 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=100,a(2)=10010} ogf] A266752 6.58056 [(1+124*f(x))*(100*f(x)*x^2-101*f(x)*x-10*x^2+f(x)+x-1) ogf] A266752 7.47791 [-(910*x^2+180*x-100)/(1000*x^4-1110*x^3+211*x^2-102*x+1) lgdogf] A266753 13.5436 [(2*x^2-x+1)/(4*x-1)/(x-1) ogf] A266753 6.96903 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=18} ogf] A266753 7.55589 [(63+65*f(x))*(4*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+x-1) ogf] A266753 9.70014 [-(6*x^2+4*x-4)/(8*x^4-14*x^3+11*x^2-6*x+1) lgdogf] A266755 11.4365 [-(-9*x^5-9*x^4-11*x^3-5*x^2-2*x)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A266755 15.8232 [-1/(x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A266755 39.7245 [x^3+x^2+x ogf_with_Euler_transform] A266758 8.54464 [-1/(x^2-6*x+1)^(1/2)/(3*x+2)*(-1+2*x)/x-1/(3*x+2)/x lgdegf] A266758 9.8938 [-3*x^4+10*f(x)*x^2-2*x^3-8*f(x)^2+2*f(x)*x egf] A266759 23.0924 [-x^5+x^4-2*x^3+2*x^2-x+5 ogf_with_Euler_transform] A266759 6.11215 [(x^2-x+1)*(x^2+1)^2*(x+1)^4/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A266760 22.9902 [-x^7+x^6-x^5+x^2-x+6 ogf_with_Euler_transform] A266760 6.12173 [-(x^2+1)*(x^2-x+1)*(x^4+1)*(x+1)^3/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A266761 4.72154 [(x^4-x^3+x^2-x+1)*(x^4+1)*(x^2+1)^2*(x^2-x+1)^2*(x+1)^6/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^6 ogf] A266768 21.4245 [x*(x^6+x^4+x^3+x^2+1) ogf_with_Euler_transform] A266768 8.56376 [-1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)^2/(x+1)^4/(x-1)^5 ogf] A266769 10.4864 [-(-8*x^3-9*x^2-6*x-1)/(-x^4-x^3+x+1) lgdogf] A266769 30.0448 [x^2+2*x+1 ogf_with_Euler_transform] A266769 9.32123 [1/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A266771 15.2942 [x^6+x^5+x^4+2*x^3+x^2+x+1 ogf_with_Euler_transform] A266772 16.7277 [x^8+x^17/(x^2-1)-x/(x^2-1) ogf_with_Euler_transform] A266774 16.7875 [-x/(x^2-1)+x^10+x^21/(x^2-1) ogf_with_Euler_transform] A266776 17.7245 [x*(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A266777 28.5100 [(-1/x^8+1)/(x-1)*x^9 ogf_with_Euler_transform] A266778 19.9918 [x*(x^2+x+1)*(x^6+x^3+1) ogf_with_Euler_transform] A266779 26.2077 [(-1/x^10+1)*x^11/(x-1) ogf_with_Euler_transform] A266780 26.4967 [(-1/x^11+1)*x^12/(x-1) ogf_with_Euler_transform] A266781 26.5930 [(-1/x^12+1)/(x-1)*x^13 ogf_with_Euler_transform] A266782 8.09632 [-(x^4-x^3+x^2-x+1)*(x^2-x+1)*(x+1)^3/(x^6+x^3+1)/(x-1)^3 ogf] A266788 5.19813 [-(256*x^10-768*x^9+112*x^8+688*x^7-328*x^6-40*x^5-28*x^4+12*x^3-13*x^2+3*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(8*x^2-1) ogf] A266789 7.19136 [(x^12-x^10-x^9+x^8+x^3-x-1)/(x-1)/(x+1) ogf] A266791 8.06038 [-(x^12-x^10-x^9+x^8+x^3-x-1)/(x+1)/(2*x-1)/(x-1) ogf] A266792 8.37698 [-(x^8-2*x^7+x^6+x^5-x^4-x^3-2*x-1)/(x-1)^2/(x+1)^2 ogf] A266793 7.09223 [(x^8-2*x^7+x^6+x^5-x^4-x^3-2*x-1)/(x+1)^2/(x-1)^3 ogf] A266794 8.64531 [x*(x^7-2*x^6+x^5+x^4-x^3+3*x+1)/(x-1)^2/(x+1)^2 ogf] A266795 7.20273 [-x*(x^7-2*x^6+x^5+x^4-x^3+3*x+1)/(x+1)^2/(x-1)^3 ogf] A266797 11.0217 [-2*(5*x-1)*(3*x-1)/(6*x-1)/(2*x-1)/(4*x-1) ogf] A266797 5.86641 [-(122*f(x)-153)*(48*f(x)*x^3-44*f(x)*x^2+12*f(x)*x+30*x^2-f(x)-16*x+2) ogf] A266797 6.27098 [{-a(n+3)+12*a(n+2)-44*a(n+1)+48*a(n),a(0)=2,a(1)=8,a(2)=38} ogf] A266797 6.43747 [-(-720*x^4+768*x^3-316*x^2+58*x-4)/(-720*x^5+1044*x^4-580*x^3+155*x^2-20*x+1) lgdogf] A266799 7.23367 [-(x^4-16*x^3+29*x^2-4*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266800 6.74144 [-2*(3*x^4-43*x^3+41*x^2+14*x-4)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266801 7.30609 [-(5*x^4-122*x^3+55*x^2+58*x-7)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266802 6.49291 [2*(6*x^4+2*x^3-7*x^2+11*x-1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266804 6.95012 [-(x^4-10*x^3-19*x^2-76*x+19)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266805 6.53614 [-2*(3*x^4-40*x^3-31*x^2-10*x-7)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266806 7.18507 [(x^4+116*x^3-7*x^2-208*x+13)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266807 6.11010 [2*(15*x^4-22*x^3-127*x^2+50*x-1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A266810 6.01561 [(56*x^6-40*x^5+36*x^4-3*x^3+3*x^2-3*x-1)/(x-1)/(4*x-1)/(2*x-1)/(x+1)/(x^2+1)/(4*x^2+2*x+1) ogf] A266811 8.17633 [-(2*x^5+x^4+5*x^3+3*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A266813 8.01466 [-x^2*(x^4+x^3+4*x^2+x+2)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A266839 5.70623 [(64*x^9-192*x^8+28*x^7+172*x^6+14*x^5+6*x^4+3*x^3+15*x^2-4*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(8*x^2-1) ogf] A266841 6.20485 [(110000*x^5-x^3+x^2-10*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266842 9.08435 [(48*x^5-x^3+x^2-2*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266844 4.87449 [(364630*f(x)+47739)*(100000*f(x)*x^3-10000*f(x)*x^2-10*f(x)*x+1000*x^2+f(x)-100*x-1) ogf] A266844 5.14106 [{-a(n+3)+10*a(n+2)+10000*a(n+1)-100000*a(n),a(0)=1,a(1)=110,a(2)=10100} ogf] A266844 8.65863 [-(1000*x^2-100*x-1)/(100*x-1)/(100*x+1)/(10*x-1) ogf] A266846 11.5471 [-(8*x^2-4*x-1)/(4*x+1)/(2*x-1)/(4*x-1) ogf] A266846 6.27126 [(94*f(x)+123)*(32*f(x)*x^3-16*f(x)*x^2-2*f(x)*x+8*x^2+f(x)-4*x-1) ogf] A266846 6.32580 [{-a(n+3)+2*a(n+2)+16*a(n+1)-32*a(n),a(0)=1,a(1)=6,a(2)=20} ogf] A266846 6.73581 [-(256*x^4-256*x^3-16*x^2+16*x+6)/(256*x^5-256*x^4+16*x^3+32*x^2-2*x-1) lgdogf] A266849 5.54935 [(110000*x^5-10000*x^4+99*x^3+10001*x^2-110*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266850 8.25875 [(48*x^5-16*x^4+3*x^3+17*x^2-6*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266872 4.26067 [-(19997999999980002*f(x)-9994999999950001)*(10000*f(x)*x^4-10001*f(x)*x^2-1000*x^3-100*x^2+f(x)-10*x-1) ogf] A266872 8.08987 [(10*x+1)*(100*x^2+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266873 11.5249 [(2*x+1)*(4*x^2+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266873 6.65663 [-(122850*f(x)-44977)*(16*f(x)*x^4-17*f(x)*x^2-8*x^3-4*x^2+f(x)-2*x-1) ogf] A266883 8.01345 [-(-x^5-7*x^4-7*x^3-21*x^2-8*x-4)/(-x^6-3*x^5+x^4-x^2+3*x+1) lgdogf] A266883 9.89896 [-(x^4+3*x^3+3*x+1)/(x+1)^2/(x-1)^3 ogf] A266912 7.05829 [-(2*x^8-23*x^7-11*x^6-11*x^5-11*x^4-11*x^3-11*x^2-11*x-13)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A266916 15.3917 [-(-59*x+61)/(-59*x^2+119*x-60) lgdogf] A266916 17.6841 [-(59*x-60)/(x-1)^2 ogf] A266916 9.23502 [(2*f(x)+3601)*(f(x)*x^2-2*f(x)*x+f(x)+59*x-60) ogf] A266916 9.89465 [{-a(n+2)+2*a(n+1)-a(n),a(0)=60,a(1)=61} ogf] A266930 4.49215 [-(x^10-4*x^9+3*x^8+4*x^7-4*x^6-x^5+6*x^3+x^2-4*x+2)/(x^2+x+1)/(x+1)^2/(x-1)^7 ogf] A266936 8.76065 [-(4*x^5-3*x^4-4*x^3-2*x^2+3*x+4)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A266956 8.03938 [-(x^5+3*x^4+47*x^3+21*x^2+34*x+2)/(x^6+x^5+13*x^4-13*x^2-x-1) lgdogf] A266956 9.32226 [-(x^4+x^3+14*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A266957 8.07759 [-(x^5-13*x^4-21*x^3-55*x^2-14*x-6)/(x^6-7*x^5-7*x^4+7*x^2+7*x-1) lgdogf] A266957 9.38043 [(x^2+x+1)*(x^2-8*x+1)/(x+1)^2/(x-1)^3 ogf] A266958 8.00349 [-(x^5-9*x^4-31*x^3-45*x^2-20*x-4)/(x^6-5*x^5-11*x^4+11*x^2+5*x-1) lgdogf] A266958 9.28064 [(x^4-5*x^3-10*x^2-5*x+1)/(x+1)^2/(x-1)^3 ogf] A266959 4.95039 [{a(n+4)-12*a(n+3)+21*a(n+2)-10*a(n+1),a(0)=1,a(1)=12,a(2)=103,a(3)=1004} ogf] A266959 5.05801 [-(21651381*f(x)+41835860)*(10*f(x)*x^3-21*f(x)*x^2+10*x^3+12*f(x)*x-20*x^2-f(x)+1) ogf] A266959 6.91094 [-(10*x^3-230*x^2+70*x-12)/(100*x^5-310*x^4+230*x^3-10*x^2-11*x+1) lgdogf] A266959 9.97150 [-(10*x^3-20*x^2+1)/(10*x-1)/(x-1)^2 ogf] A266973 13.2310 [-(13*x^2+3*x+1)/(x^2+1)/(x-1) ogf] A266973 7.01131 [-(f(x)-25)*(f(x)*x^3-f(x)*x^2+f(x)*x+13*x^2-f(x)+3*x+1) ogf] A266973 7.25950 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A266975 4.27309 [{a(n+4)-10*a(n+3)-10000*a(n+2)+100000*a(n+1),a(0)=1,a(1)=110,a(2)=11100,a(3)=1101000} ogf] A266975 4.76852 [-(39821*f(x)+9361)*(100000*f(x)*x^3-10000*f(x)*x^2+10000*x^3-10*f(x)*x+f(x)-100*x-1) ogf] A266975 8.54618 [-(10000*x^3-100*x-1)/(100*x-1)/(100*x+1)/(10*x-1) ogf] A266976 11.4673 [-(16*x^3-4*x-1)/(4*x+1)/(2*x-1)/(4*x-1) ogf] A266976 5.35697 [{a(n+4)-2*a(n+3)-16*a(n+2)+32*a(n+1),a(0)=1,a(1)=6,a(2)=28,a(3)=104} ogf] A266976 6.27268 [(61*f(x)+129)*(32*f(x)*x^3-16*f(x)*x^2+16*x^3-2*f(x)*x+f(x)-4*x-1) ogf] A266977 10.2677 [-(x^3+x^2-4*x-2)/(x^5-2*x^3-x^2+x+1) lgdogf] A266977 13.4659 [-(x^3-x-1)/(x+1)/(x-1)^2 ogf] A266977 6.22286 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=3} ogf] A266977 7.08118 [-(5*f(x)+28)*(f(x)*x^3-f(x)*x^2+x^3-f(x)*x+f(x)-x-1) ogf] A266979 6.10428 [(100000*x^5+100*x^3+10000*x^2-110*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A266980 9.12303 [(32*x^5+4*x^3+16*x^2-6*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A266981 10.0912 [-(x^4+9*x^2+4*x+2)/(x^5+x^3+x^2-2*x-1) lgdogf] A266981 14.1632 [(x^3+2*x+1)/(x-1)^2/(x+1)^2 ogf] A266981 7.91472 [-(608*f(x)-3235)*(f(x)*x^4-2*f(x)*x^2-x^3+f(x)-2*x-1) ogf] A266983 4.07989 [-(244420*f(x)+1318211577502768211)*(10000*f(x)*x^4+1000*x^4-10001*f(x)*x^2-1110*x^3-999*x^2+f(x)-x-1) ogf] A266983 6.96790 [-(1000*x^4-1110*x^3-999*x^2-x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A266984 10.1173 [-(2*x+1)*(4*x^3-9*x^2+x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A266984 6.25131 [-(180*f(x)+458123)*(16*f(x)*x^4+8*x^4-17*f(x)*x^2-14*x^3-7*x^2+f(x)-x-1) ogf] A267002 5.43516 [(1100000*x^5-10000*x^4+9990*x^3+10001*x^2-101*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(1000*x^2-1) ogf] A267003 7.76877 [(2*x+1)*(48*x^4-32*x^3+23*x^2-3*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(8*x^2-1) ogf] A267017 7.78218 [-x*(9*x^8+8*x^7+4*x^6+3*x^5+2*x^4+7*x^3+6*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A267027 7.64008 [(2*x^5-x^4+3*x^3-x^2+2*x+1)/(x-1)^2/(x^2+x+1)/(x^2-x+1) ogf] A267031 12.9662 [2*x*(5*x^2+22*x+5)/(x-1)^4 ogf] A267031 14.2817 [-(10*x^2+76*x+42)/(5*x^3+17*x^2-17*x-5) lgdogf] A267031 4.83056 [{(-15-5*n)*a(n+4)+(8-17*n)*a(n+3)+(93+17*n)*a(n+2)+(10+5*n)*a(n+1),a(0)=0,a(1)=10,a(2)=84,a(3)=286} ogf] A267031 6.84329 [(9440*f(x)+169999)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-10*x^3-4*f(x)*x-44*x^2+f(x)-10*x) ogf] A267035 4.91615 [(2222*f(x)+886342935522609)*(10000*f(x)*x^4-10001*f(x)*x^2-1100*x^3+x^2+f(x)-11*x-1) ogf] A267035 8.30000 [(1100*x^3-x^2+11*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A267036 11.7674 [(3*x^2-x+1)/(x-1)/(4*x-1)/(x+1) ogf] A267036 6.03201 [(11745*f(x)+17467)*(4*f(x)*x^3-f(x)*x^2-4*f(x)*x-3*x^2+f(x)+x-1) ogf] A267036 6.35230 [{a(n+3)-4*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=16} ogf] A267036 7.25061 [-(-12*x^4+8*x^3-25*x^2+8*x+3)/(-12*x^5+7*x^4+7*x^3-6*x^2+5*x-1) lgdogf] A267042 6.11341 [-(1344*x^8-320*x^7-1332*x^6+276*x^5-2*x^4-6*x^3-11*x^2+5*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A267043 10.2372 [-x^4-f(x)*x^2+x^2+f(x)-1 ogf] A267043 11.0098 [-(x^4-x^2+1)/(x-1)/(x+1) ogf] A267043 13.8568 [-x^11+x^3*(x^2+1) ogf_with_Euler_transform] A267043 5.55733 [{-a(n+5)+a(n+3),a(0)=1,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A267044 10.4180 [(x^4-x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A267044 4.47439 [{a(n+4)-10*a(n+3)-a(n+2)+10*a(n+1),a(0)=1,a(1)=10,a(2)=100,a(3)=1000,a(4)=10001} ogf] A267044 6.40372 [f(x)*(10*f(x)*x^3-x^4-f(x)*x^2-10*f(x)*x+x^2+f(x)-1) ogf] A267045 12.1524 [(x^4-x^2+1)/(x+1)/(2*x-1)/(x-1) ogf] A267045 5.44762 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=17} ogf] A267045 7.38229 [f(x)*(2*f(x)*x^3-x^4-f(x)*x^2-2*f(x)*x+x^2+f(x)-1) ogf] A267046 11.1896 [-(3*x^6-2*x^5-2*x^4-2*x-1)/(x-1)^2/(x+1)^2 ogf] A267047 8.87978 [(3*x^6-2*x^5-2*x^4-2*x-1)/(x+1)^2/(x-1)^3 ogf] A267048 9.45899 [x*(3*x^5-2*x^4-2*x^3+x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A267049 7.90198 [-x*(3*x^5-2*x^4-2*x^3+x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A267051 10.7385 [-(100*x^3-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A267051 4.98575 [{a(n+4)-10*a(n+3)-a(n+2)+10*a(n+1),a(0)=1,a(1)=11,a(2)=111,a(3)=1011} ogf] A267051 5.76864 [(2951*f(x)+4345)*(10*f(x)*x^3-f(x)*x^2+100*x^3-10*f(x)*x+f(x)-x-1) ogf] A267052 13.1805 [-(4*x^3-x-1)/(x+1)/(2*x-1)/(x-1) ogf] A267052 6.04519 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=11} ogf] A267052 7.17866 [(7*f(x)+33)*(2*f(x)*x^3-f(x)*x^2+4*x^3-2*f(x)*x+f(x)-x-1) ogf] A267052 7.51411 [-(4*x^4+12*x^3-17*x^2+2*x+3)/(8*x^6-4*x^5-10*x^4+3*x^3+3*x^2+x-1) lgdogf] A267054 5.97290 [(100000*x^5+10000*x^3+x^2-11*x-1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A267055 8.97872 [(32*x^5+16*x^3+x^2-3*x-1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A267057 5.07759 [(11101100*x^5-10100*x^4+10011*x^3+10099*x^2+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(10000*x^2+1) ogf] A267058 8.04127 [(236*x^5-20*x^4+19*x^3+19*x^2+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(16*x^2+1) ogf] A267068 5.24626 [-(x^11-x^10+2*x^9+3*x^8+2*x^7-5*x^6-x^5-5*x^4-2*x^3-3*x^2-2*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A267078 3.76261 [-(22*x^8-286*x^7-2287*x^6+5676*x^5+6048*x^4-1562*x^3-794*x^2-54*x+5)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A267080 4.44083 [-6*(22*x^7-308*x^6-1975*x^5+7527*x^4-1103*x^3-429*x^2-3*x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A267081 5.14847 [(70*x^6-700*x^5-9491*x^4-8179*x^3-104*x^2+125*x-9)/(x+1)/(x^2+7*x+1)/(x^2-18*x+1) ogf] A267082 4.58330 [6*x*(2*x^6-28*x^5-182*x^4+823*x^3-114*x^2+62*x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A267083 3.69420 [-3*(10*x^8-130*x^7-1051*x^6+2706*x^5+1992*x^4-788*x^3+76*x^2+18*x-1)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A267128 3.99238 [(2048*x^10-1472*x^8-128*x^7+248*x^6+16*x^5+11*x^3+17*x^2-4*x-1)/(x-1)/(4*x-1)/(2*x-1)/(4*x+1)/(x+1)/(4*x^2+2*x+1)/(8*x^2-1)/(2*x^2-1) ogf] A267139 5.02820 [-(4096*x^10-1536*x^9-3584*x^8+1504*x^7-496*x^6+8*x^5-4*x^4+3*x^3-13*x^2+6*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(2*x^2-1) ogf] A267141 19.9302 [11/(-x+1) lgdegf] A267141 6.42194 [{(-n-12)*a(n+1)+a(n+2),a(0)=6,a(1)=66} ogf] A267142 17.4298 [9*x^8/(-x^9+1) lgdogf] A267142 25.0990 [-1/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A267142 36.8430 [[x^8] ogf_with_Euler_transform] A267155 8.59053 [(x^10-x^4-x^3+x^2-1)/(x-1)/(x+1) ogf] A267156 8.30958 [-(x^10-x^4-x^3+x^2-1)/(x-1)/(10*x-1)/(x+1) ogf] A267157 9.76200 [-(x^10-x^4-x^3+x^2-1)/(x+1)/(2*x-1)/(x-1) ogf] A267158 5.51922 [-(x^12-x^11-x^10+x^9+4*x^8-x^7+x^6-2*x^5-2*x^4-4*x^3-2*x^2-x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A267159 4.73728 [(x^12-x^11-x^10+x^9+4*x^8-x^7+x^6-2*x^5-2*x^4-4*x^3-2*x^2-x-1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A267160 5.88042 [x*(x^11-x^10-x^9+x^8+4*x^7-x^6+x^5-x^4+x^3+2*x+2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A267161 4.98623 [-x*(x^11-x^10-x^9+x^8+4*x^7-x^6+x^5-x^4+x^3+2*x+2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A267167 5.06189 [(x^2-x+1)*(x^4+1)*(x^2+1)^2*(x+1)^4/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A267168 22.4353 [(5/x^9+6/x^10-1)/(x+1)*x^10 ogf_with_Euler_transform] A267169 21.6687 [(7/x^12+6/x^11-1)/(x+1)*x^12 ogf_with_Euler_transform] A267170 21.3479 [(7/x^13+8/x^14-1)*x^14/(x+1) ogf_with_Euler_transform] A267171 19.1440 [-1/(x+1)*x^16+1/(x+1)*(8*x+9) ogf_with_Euler_transform] A267172 18.3112 [-1/(x+1)*x^18+1/(x+1)*(9*x+10) ogf_with_Euler_transform] A267182 11.2858 [-(x^3-5*x^2+2*x-2)/(-2*x^5+3*x^4+x^3-4*x^2+x+1) lgdogf] A267182 14.3934 [(2*x^3-3*x^2+x+1)/(x+1)/(x-1)^2 ogf] A267182 7.58127 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=0,a(3)=3} ogf] A267182 8.00924 [-(4+23*f(x))*(f(x)*x^3-f(x)*x^2-2*x^3-f(x)*x+3*x^2+f(x)-x-1) ogf] A267183 12.6126 [(2*x^4-5*x^3+x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A267183 7.30205 [(1499*f(x)+8571)*(f(x)*x^4-f(x)*x^3-2*x^4+5*x^3-f(x)*x-x^2+f(x)-2*x-1) ogf] A267184 11.1154 [(2*x^5-6*x^4+3*x^3-2*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A267185 10.3673 [-x*(x^4+x^3-3*x^2+x-1)/(x+1)/(x-1)^2 ogf] A267186 9.06983 [-x*(x^6+x^5-3*x^3+3*x^2-x-2)/(x^2+x+1)/(x-1)^2 ogf] A267187 8.42107 [-x*(x^8+x^7-3*x^4+4*x^3-3*x^2+2*x-3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A267205 8.57788 [-(f(x)-1)^3 ogf] A267207 3.74131 [-(3584*x^10-256*x^8-1120*x^7-1352*x^6-812*x^5-406*x^4-104*x^3-39*x^2-4*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(x^2+1)/(4*x^2+2*x+1)/(16*x^2+1) ogf] A267208 11.4875 [(x^3-x^2-x-1)/(x-1)/(x^2+x+1) ogf] A267208 6.89252 [{-a(n+4)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=0} ogf] A267208 8.73052 [f(x)*(f(x)*x^3-x^3+x^2-f(x)+x+1) ogf] A267209 5.13239 [-(2185224*f(x)-125419)*(10*f(x)*x^4-f(x)*x^3+x^3-10*f(x)*x-x^2+f(x)-x-1) ogf] A267209 9.83106 [-(x^3-x^2-x-1)/(10*x-1)/(x-1)/(x^2+x+1) ogf] A267210 11.0976 [-(x^3-x^2-x-1)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A267210 6.17528 [-(8*f(x)+41)*(2*f(x)*x^4-f(x)*x^3+x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A267211 7.74088 [-(3*x^7-3*x^6-x^5-5*x^4-x^3-5*x^2-x-1)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A267212 6.99066 [(3*x^7-3*x^6-x^5-5*x^4-x^3-5*x^2-x-1)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A267213 9.44819 [x*(3*x^6-2*x^5+2*x^4+5*x^2+2)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A267214 8.34807 [-x*(3*x^6-2*x^5+2*x^4+5*x^2+2)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A267226 10.9299 [-(2*x^3-6*x+3)/(x-1)/(2*x-1)^2 ogf] A267226 4.97556 [{-a(n+4)+5*a(n+3)-8*a(n+2)+4*a(n+1),a(0)=3,a(1)=9,a(2)=21,a(3)=47} ogf] A267226 5.74763 [-(f(x)+51)*(4*f(x)*x^3-8*f(x)*x^2+2*x^3+5*f(x)*x-f(x)-6*x+3) ogf] A267226 7.16909 [-(8*x^3-30*x^2+30*x-9)/(4*x^5-6*x^4-10*x^3+24*x^2-15*x+3) lgdogf] A267227 4.285 [-(3*f(x)+1238)*(18*f(x)*x^4-39*f(x)*x^3+6*x^4+29*f(x)*x^2+2*x^3-9*f(x)*x-26*x^2+f(x)+20*x-4) ogf] A267227 7.47496 [-2*(3*x^4+x^3-13*x^2+10*x-2)/(2*x-1)/(x-1)/(3*x-1)^2 ogf] A267228 5.26821 [-(24*x^5+20*x^4-145*x^3+135*x^2-45*x+5)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1)^2 ogf] A267229 4.33094 [-(120*x^6+172*x^5-969*x^4+1010*x^3-435*x^2+84*x-6)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1)/(5*x-1)^2 ogf] A267230 3.50083 [-(720*x^7+1512*x^6-7476*x^5+8428*x^4-4270*x^3+1099*x^2-140*x+7)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(6*x-1)^2 ogf] A267233 10.4895 [-(3*x^2+70*x+47)/(x^3+16*x^2-11*x-6) lgdogf] A267233 8.91610 [-(x^2+17*x+6)/(x-1)^5 ogf] A267234 7.46182 [(x^3+51*x^2+61*x+7)/(x-1)^6 ogf] A267234 8.21638 [-(3*x^3+207*x^2+407*x+103)/(x^4+50*x^3+10*x^2-54*x-7) lgdogf] A267235 5.61269 [-(x^4+147*x^3+397*x^2+167*x+8)/(x-1)^7 ogf] A267236 4.45688 [(x^5+421*x^4+2136*x^3+2066*x^2+407*x+9)/(x-1)^8 ogf] A267240 5.70124 [-(9*x^5-42*x^4+76*x^3-68*x^2+27*x-4)/(3*x-1)^2/(x-1)^4 ogf] A267254 4.41736 [-(10000000000*x^8-110000000*x^7+109000000*x^6-989000*x^5+1089000*x^4-10900*x^3+9890*x^2-110*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A267255 6.78463 [-(1024*x^8-384*x^7+320*x^6-40*x^5+72*x^4-20*x^3+10*x^2-6*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A267256 12.3631 [(x^8-x-1)/(x-1)/(x+1) ogf] A267257 11.0794 [-(x^8-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A267258 12.7250 [-(x^8-x-1)/(x+1)/(2*x-1)/(x-1) ogf] A267258 3.86182 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=15,a(4)=31,a(5)=63,a(6)=127,a(7)=255,a(8)=510} ogf] A267259 8.37698 [-(x^8-2*x^7+x^6+x^5-x^3-x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A267260 7.09223 [(x^8-2*x^7+x^6+x^5-x^3-x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A267261 9.40867 [x*(x^7-2*x^6+x^5+x^4+2*x+1)/(x-1)^2/(x+1)^2 ogf] A267262 7.86399 [-x*(x^7-2*x^6+x^5+x^4+2*x+1)/(x+1)^2/(x-1)^3 ogf] A267267 5.00998 [(f(x)*x-f(x)+1)^2 ogf] A267270 4.89164 [-(1000000*x^6-1100000*x^5-990100*x^4-9990*x^3-9901*x^2+101*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1)/(1000*x^2-1) ogf] A267271 7.20773 [-(64*x^6-96*x^5-52*x^4-14*x^3-13*x^2+5*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1)/(8*x^2-1) ogf] A267273 5.98896 [(100000*x^5-1000*x^4-98900*x^3+999*x^2+11*x+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A267274 9.04602 [(32*x^5-8*x^4-20*x^3+7*x^2+3*x+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A267276 5.42886 [(704*x^6+32*x^5+144*x^4-96*x^3-12*x^2-6*x-1)/(x-1)/(4*x-1)/(2*x-1)/(4*x+1)/(4*x^2+2*x+1)/(16*x^2+1) ogf] A267297 5.71194 [-(46611179*x^5-1630019160*x^4+1583407981*x^3+36*x^2-1259*x+1225)/(x-1)/(x^2-34*x+1) ogf] A267313 10.0638 [-x*(x^4-2*x^3+3*x^2+2*x-1)/(x^2+x+1)^2/(x-1)^3 ogf] A267313 5.98888 [{(n+5)*a(n+1)+a(n+2)+a(n+3)+(-n-1)*a(n+4),a(0)=0,a(1)=-1,a(2)=1,a(3)=4} ogf] A267314 9.08132 [2*x*(x^2-2*x-1)/(x-1)/(x^2+1)^2 ogf] A267317 13.1097 [-x*(5*x^2+2*x+1)/(x^2+1)/(x-1) ogf] A267317 6.50480 [{a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A267317 7.34594 [(41*f(x)+6)*(f(x)*x^3-f(x)*x^2+5*x^3+f(x)*x+2*x^2-f(x)+x) ogf] A267318 11.4248 [-(x^2-x+1)*(x^3-5*x^2-5*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A267319 10.6581 [{-a(n+3)+a(n+1),a(0)=46,a(1)=1,a(2)=45} ogf] A267319 12.2213 [-(x^2+90*x+1)/(-x^4+x^3+47*x^2-x-46) lgdogf] A267319 16.974 [-f(x)*x^2+x^2+f(x)-x-46 ogf] A267319 18.3320 [(x^2-x-46)/(x-1)/(x+1) ogf] A267322 11.0995 [-(x+1)*(2*x^4-x^3+x^2+1)/(x-1)^3/(x^2+x+1)^3 ogf] A267335 5.20468 [(f(x)-120)^2*(-x^5+f(x)-120) ogf] A267336 9.32598 [-(f(x)-720)^3 ogf] A267350 4.92295 [-(10100000*x^6-200000*x^5-10091010*x^4+89910*x^3-8991*x^2+101*x+1)/(x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(x+1) ogf] A267351 7.19881 [-(160*x^6-64*x^5-154*x^4+14*x^3-7*x^2+5*x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(x+1) ogf] A267352 10.9779 [-(2*x^4-2*x^3-x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A267352 7.28531 [(4*f(x)+37)*(f(x)*x^4+2*x^4-2*f(x)*x^2-2*x^3-x^2+f(x)-2*x-1) ogf] A267352 9.00431 [-(2*x^4-6*x^3+12*x^2+6*x+2)/(-2*x^6+2*x^5+3*x^4-2*x-1) lgdogf] A267353 8.55455 [-(-2*x^5+2*x^4-3*x^3+15*x^2+9*x+3)/(-2*x^6+2*x^5+3*x^4-2*x-1) lgdogf] A267353 8.92248 [(2*x^4-2*x^3-x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A267354 11.7144 [x*(2*x^3-x^2+2*x+1)/(x-1)^2/(x+1)^2 ogf] A267354 7.698 [(8*f(x)-3)*(f(x)*x^4-2*x^4-2*f(x)*x^2+x^3-2*x^2+f(x)-x) ogf] A267354 9.08192 [-(-2*x^4+2*x^3-12*x^2-2*x-2)/(-2*x^5+x^4-2*x^2+2*x+1) lgdogf] A267360 6.71452 [-(64*x^8-192*x^7-16*x^6+176*x^5-36*x^4+4*x^3-11*x^2-3*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A267370 13.3526 [-3*x*(x-2)/(x-1)^4 ogf] A267370 18.0816 [-(-3*x+7)/(-x^2+3*x-2) lgdogf] A267370 5.74780 [{(-4-2*n)*a(n+3)+(10+3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=6,a(2)=21} ogf] A267370 6.78062 [(70*f(x)+753)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+3*x^2+f(x)-6*x) ogf] A267387 14.7816 [-(f(x)*x-f(x)+1)^3 egf] A267408 4.5736 [(f(x)*x-f(x)+1)^3 ogf] A267424 9.76451 [(f(x)*x^2-322*f(x)*x+f(x)-x-55)^2 ogf] A267428 6.23631 [-(f(x)*x-f(x)-119*x+120)^2 ogf] A267429 3.15135 [-(f(x)-720)*(f(x)*x-f(x)-719*x+720)^2 ogf] A267437 4.99689 [-(400883*f(x)+8637306)*(4*f(x)*x^4-8*f(x)*x^3+7*f(x)*x^2+44*x^3-4*f(x)*x-52*x^2+f(x)+21*x-11) ogf] A267437 9.62365 [-(44*x^3-52*x^2+21*x-11)/(2*x-1)/(x-1)/(2*x^2-x+1) ogf] A267450 5.31711 [-(32*x^8-56*x^7+12*x^6-24*x^5+5*x^4-8*x^3+2*x^2+1)/(x-1)/(4*x-1)/(2*x-1)/(x+1)/(x^2+1)/(4*x^2+2*x+1) ogf] A267451 9.24499 [(2*x^6+2*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A267452 8.21304 [-(2*x^6+2*x^4+x^3+2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A267453 8.69465 [-x*(x^5-3*x^4-3*x^3-5*x^2-3*x-2)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A267454 7.82722 [x*(x^5-3*x^4-3*x^3-5*x^2-3*x-2)/(x+1)/(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A267456 6.25141 [(10*x+1)*(20000*x^4-9901*x^2+1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A267457 8.31377 [(2*x+1)*(32*x^4-13*x^2+1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A267458 12.6585 [(2*x^4-x^2+1)/(x+1)/(x-1)^2 ogf] A267458 6.91432 [-(2*f(x)-1)*(f(x)*x^3-2*x^4-f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A267458 8.94352 [-(-2*x^5+2*x^4+7*x^3-x^2+x+1)/(2*x^6-3*x^4+2*x^2-1) lgdogf] A267459 12.7034 [-(2*x^4-x^2+1)/(x+1)/(x-1)^3 ogf] A267459 6.93882 [-(f(x)+6)*(f(x)*x^4-2*f(x)*x^3+2*x^4+2*f(x)*x-x^2-f(x)+1) ogf] A267459 9.82999 [-(-4*x^4-6*x^3+2*x^2-2*x-2)/(-2*x^6+3*x^4-2*x^2+1) lgdogf] A267460 10.1075 [-(x^3+x^2-4*x-2)/(x^5-2*x^3-x^2+x+1) lgdogf] A267460 12.4400 [-2*x*(x^3-x-1)/(x+1)/(x-1)^2 ogf] A267460 5.65456 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2),a(0)=0,a(1)=2,a(2)=4,a(3)=6,a(4)=6} ogf] A267460 6.97072 [(f(x)+26)*(f(x)*x^3+2*x^4-f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x) ogf] A267461 10.1250 [-(-x^4-2*x^3+6*x+3)/(-x^5+2*x^3+x^2-x-1) lgdogf] A267461 12.4616 [2*x*(x^3-x-1)/(x+1)/(x-1)^3 ogf] A267461 6.92312 [(6*f(x)-155)*(f(x)*x^4-2*f(x)*x^3-2*x^4+2*f(x)*x+2*x^2-f(x)+2*x) ogf] A267465 4.43278 [(236*f(x)+4027)*(12*f(x)*x^4-28*f(x)*x^3+23*f(x)*x^2+7*x^3-8*f(x)*x-21*x^2+f(x)+15*x-3) ogf] A267465 7.94659 [-(7*x^3-21*x^2+15*x-3)/(3*x-1)/(x-1)/(2*x-1)^2 ogf] A267466 6.29613 [-2*(23*x^4-65*x^3+55*x^2-18*x+2)/(2*x-1)/(4*x-1)/(x-1)/(3*x-1)^2 ogf] A267467 4.81353 [-(326*x^5-920*x^4+870*x^3-365*x^2+70*x-5)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(4*x-1)^2 ogf] A267468 3.56096 [-(2556*x^6-7336*x^5+7539*x^4-3710*x^3+945*x^2-120*x+6)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1)^2 ogf] A267469 3.16736 [-(22212*x^7-65212*x^6+71617*x^5-39543*x^4+12110*x^3-2086*x^2+189*x-7)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1)/(6*x-1)^2 ogf] A267472 7.38954 [-(x^4-5*x^3+14*x^2+2*x+12)/(x-1)^5 ogf] A267473 6.06114 [-(x^5-6*x^4+7*x^3-67*x^2-34*x-21)/(x-1)^6 ogf] A267474 4.94661 [-(x^6-7*x^5+37*x^4+137*x^3+362*x^2+152*x+38)/(x-1)^7 ogf] A267475 4.01422 [-(x^7-8*x^6-4*x^5-651*x^4-1901*x^3-1862*x^2-544*x-71)/(x-1)^8 ogf] A267489 6.67571 [-x*(x^6+2*x^5-2*x^4+2*x^3-2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A267514 10.4180 [(x^2+x+1)*(x^2-x+1)/(10*x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A267515 12.3694 [(x^2+x+1)*(x^2-x+1)/(2*x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A267522 13.5906 [8*(3*x+1)/(x-1)^4 ogf] A267522 17.5546 [-(-9*x-7)/(-3*x^2+2*x+1) lgdogf] A267522 5.47155 [{(n+3)*a(n+3)+(-3+2*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=8,a(1)=56,a(2)=176} ogf] A267522 6.43221 [(11552*f(x)+243535)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-24*x-8) ogf] A267523 11.3458 [(11*x^2-x+1)/(100*x-1)/(x-1) ogf] A267523 5.87550 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=100,a(2)=10011} ogf] A267523 6.45153 [(39+4961*f(x))*(100*f(x)*x^2-101*f(x)*x-11*x^2+f(x)+x-1) ogf] A267523 7.39389 [-(1011*x^2+178*x-100)/(1100*x^4-1211*x^3+212*x^2-102*x+1) lgdogf] A267524 12.6910 [(x^3-x+1)/(10*x-1)/(x-1) ogf] A267524 5.72135 [{-a(n+4)+11*a(n+3)-10*a(n+2),a(0)=1,a(1)=10,a(2)=100,a(3)=1001} ogf] A267524 6.64767 [-(-10*x^4+22*x^3-13*x^2+20*x-10)/(10*x^5-11*x^4-9*x^3+21*x^2-12*x+1) lgdogf] A267524 6.77675 [-(451*f(x)+499)*(10*f(x)*x^2-x^3-11*f(x)*x+f(x)+x-1) ogf] A267526 5.30119 [(1000000*x^5-990000*x^4-10000*x^3+9999*x^2+x-1)/(x-1)/(100*x-1)/(100*x+1)/(10*x-1) ogf] A267527 7.26556 [(64*x^5-48*x^4-16*x^3+15*x^2+x-1)/(x-1)/(4*x-1)/(2*x-1)/(4*x+1) ogf] A267528 12.6788 [(x^4+x^3+1)/(x+1)/(x-1)^2 ogf] A267528 5.72305 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=5} ogf] A267528 7.04376 [(39*f(x)-20)*(f(x)*x^3-x^4-f(x)*x^2-x^3-f(x)*x+f(x)-1) ogf] A267529 12.7655 [-(x^4+x^3+1)/(x+1)/(x-1)^3 ogf] A267529 6.80132 [-(162*f(x)+55)*(f(x)*x^4-2*f(x)*x^3+x^4+x^3+2*f(x)*x-f(x)+1) ogf] A267529 8.29760 [-(-3*x^4-6*x^3-3*x^2-4*x-2)/(-x^6-x^5+x^4+x^3-x^2+1) lgdogf] A267530 11.0401 [-x*(x^3+x^2-x-2)/(x+1)/(x-1)^2 ogf] A267530 5.63585 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2),a(0)=0,a(1)=2,a(2)=3,a(3)=4,a(4)=4} ogf] A267530 6.44741 [(7*f(x)+107)*(f(x)*x^3+x^4-f(x)*x^2+x^3-f(x)*x-x^2+f(x)-2*x) ogf] A267530 9.15825 [-(2*x^3+2*x^2-5*x-3)/(x^5+x^4-2*x^3-3*x^2+x+2) lgdogf] A267531 11.3592 [x*(x^3+x^2-x-2)/(x+1)/(x-1)^3 ogf] A267531 6.32994 [-(70*f(x)-2539)*(f(x)*x^4-2*f(x)*x^3-x^4-x^3+2*f(x)*x+x^2-f(x)+2*x) ogf] A267531 8.63773 [-(x^4+4*x^3+2*x^2-8*x-5)/(x^5+x^4-2*x^3-3*x^2+x+2) lgdogf] A267534 8.83227 [(x+2)*(x^6+x^4+2*x^3+x^2+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A267535 5.02333 [-(237112304220*f(x)+10300577209)*(100*f(x)*x^2-10*x^3-101*f(x)*x+9*x^2+f(x)-9*x-1) ogf] A267535 5.06197 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=110,a(2)=11001,a(3)=1100111} ogf] A267535 5.52988 [-(-1000*x^4+2020*x^3-39*x^2+218*x-110)/(1000*x^5-1910*x^4+1819*x^3-818*x^2-92*x+1) lgdogf] A267535 9.97055 [(10*x+1)*(x^2-x+1)/(100*x-1)/(x-1) ogf] A267536 12.0312 [(2*x+1)*(x^2-x+1)/(4*x-1)/(x-1) ogf] A267536 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=6,a(2)=25,a(3)=103} ogf] A267536 6.67185 [-(1116*f(x)-227)*(4*f(x)*x^2-2*x^3-5*f(x)*x+x^2+f(x)-x-1) ogf] A267536 7.33905 [-(-8*x^4+20*x^3-7*x^2+10*x-6)/(8*x^5-14*x^4+11*x^3-2*x^2-4*x+1) lgdogf] A267537 15.7266 [-(x^4-x^2+1)/(x-1) ogf] A267537 18.2995 [-x^11+x^5+x^3-x+1 ogf_with_Euler_transform] A267537 7.26984 [{-a(n+5)+a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=0,a(4)=1} ogf] A267537 9.28436 [-(f(x)-1)*(x^4+f(x)*x-x^2-f(x)+1) ogf] A267538 11.8306 [(x^4-x^2+1)/(10*x-1)/(x-1) ogf] A267538 5.36927 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=1,a(1)=11,a(2)=110,a(3)=1100,a(4)=11001} ogf] A267538 6.58496 [(4951*f(x)+11989)*(-x^4+10*f(x)*x^2-11*f(x)*x+x^2+f(x)-1) ogf] A267539 13.4340 [(x^4-x^2+1)/(2*x-1)/(x-1) ogf] A267539 5.98231 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=1,a(1)=3,a(2)=6,a(3)=12,a(4)=25} ogf] A267539 7.81362 [(7*f(x)+29)*(-x^4+2*f(x)*x^2-3*f(x)*x+x^2+f(x)-1) ogf] A267541 10.2749 [(x^5+2*x^4+x^3+x^2+4*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A267587 11.1036 [-x^5+x^3-f(x)*x-x^2+f(x)+x-1 ogf] A267587 12.5598 [-(x^5-x^3+x^2-x+1)/(x-1) ogf] A267588 9.83106 [(x^5-x^3+x^2-x+1)/(10*x-1)/(x-1) ogf] A267589 11.6523 [(x^5-x^3+x^2-x+1)/(2*x-1)/(x-1) ogf] A267595 4.69806 [-(9980010100*f(x)+4954294401)*(100*f(x)*x^2+100*x^3-101*f(x)*x-201*x^2+f(x)+91*x-1) ogf] A267595 4.88302 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=10,a(2)=1111,a(3)=111111} ogf] A267595 8.85919 [-(100*x^3-201*x^2+91*x-1)/(100*x-1)/(x-1) ogf] A267596 11.7674 [-(4*x^3-9*x^2+3*x-1)/(4*x-1)/(x-1) ogf] A267596 6.18802 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=15,a(3)=63} ogf] A267596 6.52554 [-(788*f(x)+7297)*(4*f(x)*x^2+4*x^3-5*f(x)*x-9*x^2+f(x)+3*x-1) ogf] A267596 6.90202 [-(16*x^4-40*x^3+45*x^2-10*x-2)/(-16*x^5+56*x^4-61*x^3+28*x^2-8*x+1) lgdogf] A267597 18.9593 [64*x/(16*x-1)^2 ogf] A267597 25.9111 [32/(-16*x+1) lgdogf] A267597 9.14508 [{a(n+2)-32*a(n+1)+256*a(n),a(0)=0,a(1)=64} ogf] A267599 5.2325 [-(9017109*f(x)-9017110)*(100*f(x)*x^2-101*f(x)*x-1000*x^2+f(x)+100*x-1) ogf] A267599 5.66454 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=1,a(2)=1001} ogf] A267599 6.49932 [-(-91000*x^2+1800*x+1)/(-100000*x^4+111000*x^3-11200*x^2+201*x-1) lgdogf] A267599 9.95863 [(1000*x^2-100*x+1)/(100*x-1)/(x-1) ogf] A267602 9.13794 [x^3*(x^3-x^2-x-1)/(x-1)/(x+1) ogf] A267604 13.4340 [(x^3-x^2+1)/(2*x-1)/(x-1) ogf] A267604 6.65857 [{a(n+4)-3*a(n+3)+2*a(n+2),a(0)=1,a(1)=3,a(2)=6,a(3)=13} ogf] A267604 7.81362 [(8*f(x)+19)*(2*f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)-1) ogf] A267604 7.97642 [-(2*x^4-6*x^3+6*x^2-6*x+3)/(-2*x^5+5*x^4-4*x^3-x^2+3*x-1) lgdogf] A267613 4.64237 [(81969775778*f(x)+691622350511)*(100*f(x)*x^2+900*x^3-101*f(x)*x-1010*x^2+f(x)+100*x-1) ogf] A267613 4.90028 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=1,a(2)=1011,a(3)=101111} ogf] A267613 8.57549 [-(900*x^3-1010*x^2+100*x-1)/(100*x-1)/(x-1) ogf] A267614 12.3493 [-(4*x^3-10*x^2+4*x-1)/(4*x-1)/(x-1) ogf] A267614 6.60047 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=1,a(2)=11,a(3)=47} ogf] A267614 7.15563 [(498*f(x)+4423)*(4*f(x)*x^2+4*x^3-5*f(x)*x-10*x^2+f(x)+4*x-1) ogf] A267614 7.36206 [-(16*x^4-40*x^3+46*x^2-12*x-1)/(-16*x^5+60*x^4-70*x^3+34*x^2-9*x+1) lgdogf] A267615 10.1466 [(9*f(x)-277)*(2*f(x)*x^2-3*f(x)*x+f(x)+23*x-12) ogf] A267615 10.7506 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=12,a(1)=13} ogf] A267615 12.7190 [-(-46*x^2+48*x-13)/(-46*x^3+93*x^2-59*x+12) lgdogf] A267615 19.2138 [-(23*x-12)/(2*x-1)/(x-1) ogf] A267622 12.1862 [(10*x^2+1)/(100*x-1)/(x-1) ogf] A267622 5.87550 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=101,a(2)=10111} ogf] A267622 6.58056 [(10021*f(x)+180)*(100*f(x)*x^2-101*f(x)*x-10*x^2+f(x)-1) ogf] A267622 7.39389 [-(1010*x^2+180*x-101)/(1000*x^4-1010*x^3+110*x^2-101*x+1) lgdogf] A267623 12.6910 [(x^2-x+1)/(10*x-1)/(x-1) ogf] A267623 6.52341 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=1,a(1)=10,a(2)=101} ogf] A267623 7.27089 [(2+23*f(x))*(10*f(x)*x^2-11*f(x)*x-x^2+f(x)+x-1) ogf] A267623 8.94878 [-(x^2+18*x-10)/(10*x^4-21*x^3+22*x^2-12*x+1) lgdogf] A267625 2.77259 [(33*f(x)+268)*(f(x)*x^3+f(x)*x^2+x^3-4*f(x)*x+4*x^2+2*f(x)-2*x-2) egf] A267625 4.90226 [-(x^3+4*x^2-2*x-2)/(x-1)/(x^2+2*x-2) egf] A267638 7.49727 [-2*(2*x^4-2*x^3-x^2+3*x+1)/(2*x-1)/(2*x+1)/(x-1)/(2*x^2-1) ogf] A267649 11.3972 [{-a(n+3)+a(n+2),a(0)=2,a(1)=2,a(2)=4} ogf] A267649 12.7649 [-(f(x)-2)*(f(x)*x+2*x^2-f(x)+2) ogf] A267649 14.9589 [-(x^2-2*x-1)/(-x^3+x^2-x+1) lgdogf] A267649 23.3505 [-2*(x^2+1)/(x-1) ogf] A267649 32.9424 [[-x^3+x+1] ogf_with_Euler_transform] A267652 10.4498 [{-a(n+2)+4*a(n+1)+4*a(n),a(0)=2,a(1)=3} ogf] A267652 12.4186 [-(20*x^2-16*x-3)/(20*x^3+12*x^2-13*x+2) lgdogf] A267652 19.0418 [(5*x-2)/(4*x^2+4*x-1) ogf] A267652 9.41626 [-(28*f(x)-47)*(4*f(x)*x^2+4*f(x)*x-f(x)-5*x+2) ogf] A267654 9.93216 [-(x^4+x^3+2*x^2+2)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A267661 7.24836 [-2*(x^3-2*x^2-1)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A267668 4.94088 [-4*(8*x^6-8*x^5-8*x^4-5*x^2-7*x-1)/(2*x-1)/(2*x+1)/(x-1)/(8*x^2-1)/(2*x^2-1) ogf] A267677 5.64955 [(10000*x^5+9900*x^4-100*x^3-9999*x^2+100*x-1)/(x-1)/(100*x-1)/(10*x-1)/(x+1) ogf] A267678 7.64484 [(16*x^5+12*x^4-4*x^3-15*x^2+4*x-1)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A267680 6.37188 [(101000*x^4-89910*x^3-10101*x^2+101*x-1)/(x-1)/(10*x+1)/(100*x-1)/(10*x-1) ogf] A267681 5.08717 [-(1309*f(x)-10513)*(16*f(x)*x^4-20*f(x)*x^3-40*x^4+14*x^3+5*f(x)*x+21*x^2-f(x)-5*x+1) ogf] A267681 8.87155 [(40*x^4-14*x^3-21*x^2+5*x-1)/(2*x-1)/(2*x+1)/(4*x-1)/(x-1) ogf] A267682 12.0234 [-(2*x^3+2*x^2-x+1)/(x+1)/(x-1)^3 ogf] A267682 6.63692 [(3936*f(x)-5935)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x+2*x^2-f(x)-x+1) ogf] A267682 8.64183 [-(-2*x^4-8*x^3-7*x^2-6*x-1)/(-2*x^5-2*x^4+3*x^3+x^2-x+1) lgdogf] A267684 3.51902 [(7154074109862907217100*f(x)+2467989442317531578071)*(1000*f(x)*x^3+1000*x^4-1110*f(x)*x^2-2110*x^3+111*f(x)*x+1021*x^2-f(x)-11*x+1) ogf] A267684 6.92691 [-(1000*x^4-2110*x^3+1021*x^2-11*x+1)/(10*x-1)/(100*x-1)/(x-1) ogf] A267685 4.89270 [{-a(n+5)+7*a(n+4)-14*a(n+3)+8*a(n+2),a(0)=1,a(1)=4,a(2)=27,a(3)=119,a(4)=495} ogf] A267685 5.24217 [(331020*f(x)-437233)*(8*f(x)*x^3+8*x^4-14*f(x)*x^2-22*x^3+7*f(x)*x+13*x^2-f(x)-3*x+1) ogf] A267685 9.17381 [-(8*x^4-22*x^3+13*x^2-3*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A267688 3.63567 [(433154220209337*f(x)-21954736042667)*(1000*f(x)*x^4-110*f(x)*x^3-1000*x^4-999*f(x)*x^2+10*x^3+110*f(x)*x-x^2-f(x)+1) ogf] A267688 7.00060 [(1000*x^4-10*x^3+x^2-1)/(x-1)/(100*x-1)/(10*x-1)/(x+1) ogf] A267689 5.02674 [(135*f(x)-2381)*(8*f(x)*x^4-6*f(x)*x^3-8*x^4-7*f(x)*x^2+2*x^3+6*f(x)*x-x^2-f(x)+1) ogf] A267689 9.06056 [(2*x+1)*(4*x^3-3*x^2+2*x-1)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A267691 7.70795 [(16*x^4+x^3+11*x^2-5*x+1)/(x-1)^6 ogf] A267691 7.93246 [-(-32*x^4-67*x^3-47*x^2+3*x-1)/(-16*x^5+15*x^4-10*x^3+16*x^2-6*x+1) lgdogf] A267705 3.68173 [-(-82017014373410620181+7362151858152163710*f(x))*(1000*f(x)*x^3-1110*f(x)*x^2-10100*x^3+111*f(x)*x+10101*x^2-f(x)-101*x+1) ogf] A267705 4.34005 [{-a(n+4)+111*a(n+3)-1110*a(n+2)+1000*a(n+1),a(0)=1,a(1)=10,a(2)=10101,a(3)=1101011} ogf] A267705 7.53274 [(10100*x^3-10101*x^2+101*x-1)/(10*x-1)/(100*x-1)/(x-1) ogf] A267706 11.1172 [-(31457*x^2-58460*x+27277)/(x-1)^3 ogf] A267706 5.48347 [(17942469547*f(x)-1814423506863379)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31457*x^2-f(x)-58460*x+27277) ogf] A267706 6.54479 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=27277,a(1)=23371,a(2)=19739} ogf] A267706 8.82124 [-(-31457*x^2+54006*x-23371)/(-31457*x^3+89917*x^2-85737*x+27277) lgdogf] A267707 8.54267 [-(x^4-2*x^3+5*x^2-2*x+1)/(x-1)^5 ogf] A267707 9.22220 [-(-x^4-9*x^2-2*x-3)/(-x^5+3*x^4-7*x^3+7*x^2-3*x+1) lgdogf] A267711 13.2211 [x*(13*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A267711 5.28845 [{(5*n+11)*a(n+1)+5*a(n+2)+5*a(n+3)+(-5*n-6)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=15} ogf] A267711 6.87081 [-(1020*f(x)+15577)*(f(x)*x^4-f(x)*x^3-13*x^3-f(x)*x-x^2+f(x)-x) ogf] A267711 8.55484 [-(-26*x^4-16*x^3-18*x^2-28*x-2)/(-13*x^5-x^4-x^3+13*x^2+x+1) lgdogf] A267714 3.70007 [6*(x^10-x^9+x^8-4*x^7-2*x^6+2*x^5+2*x^4+3*x^3-x^2-4*x-1)/(x+1)^5/(x-1)^7 ogf] A267729 4.08248 [-(x^8-6*x^7+7*x^6+17*x^5-26*x^4-13*x^3+8*x^2+8*x-4)/(x+1)^3/(x^2-3*x+1)^3 ogf] A267737 5.46816 [(12121*f(x)+3422)*(2*f(x)*x^3+4*x^4-f(x)*x^2+16*x^3-2*f(x)*x+4*x^2+f(x)-8*x-1) ogf] A267737 9.46414 [-(4*x^4+16*x^3+4*x^2-8*x-1)/(x+1)/(2*x-1)/(x-1) ogf] A267738 8.58661 [(x^5-6*x^4+22*x^3-46*x^2+32*x+1)/(2*x-1)/(x-1) ogf] A267747 12.8909 [-(-58*x^2-32*x-30)/(-29*x^3-x^2+29*x+1) lgdogf] A267747 15.3357 [x*(29*x+1)/(x+1)/(x-1)^2 ogf] A267747 7.41226 [(703020*f(x)+21897931)*(f(x)*x^3-f(x)*x^2-f(x)*x-29*x^2+f(x)-x) ogf] A267747 7.94171 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=30} ogf] A267755 10.2260 [(2*x^5+4*x^4+x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A267774 10.4844 [(4*x^3-x^2+x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A267774 5.39636 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=1,a(1)=6,a(2)=29,a(3)=123} ogf] A267774 5.77877 [(1458*f(x)+13477)*(8*f(x)*x^3-14*f(x)*x^2-4*x^3+7*f(x)*x+x^2-f(x)-x+1) ogf] A267774 6.49473 [-(48*x^4-40*x^3-19*x^2+26*x-6)/(32*x^6-64*x^5+50*x^4-33*x^3+22*x^2-8*x+1) lgdogf] A267775 4.11285 [-(709850790721710*f(x)-27545968815881)*(1000*f(x)*x^3-1110*f(x)*x^2-100*x^3+111*f(x)*x+x^2-f(x)-x+1) ogf] A267775 4.32932 [{-a(n+4)+111*a(n+3)-1110*a(n+2)+1000*a(n+1),a(0)=1,a(1)=110,a(2)=11101,a(3)=1111011} ogf] A267775 8.32982 [(100*x^3-x^2+x-1)/(10*x-1)/(100*x-1)/(x-1) ogf] A267777 10.3594 [(11000*x^2-100*x+1)/(100*x-1)/(x-1) ogf] A267777 5.1389 [-(-13191387210+13191387209*f(x))*(100*f(x)*x^2-101*f(x)*x-11000*x^2+f(x)+100*x-1) ogf] A267777 5.93309 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=1,a(2)=11001} ogf] A267777 6.52640 [-(1101000*x^2-21800*x-1)/(1100000*x^4-1121000*x^3+21200*x^2-201*x+1) lgdogf] A267779 4.19144 [-(5741889041449*f(x)-2111880006625)*(100*f(x)*x^3-f(x)*x^2-11000*x^3-100*f(x)*x-900*x^2+f(x)-x-1) ogf] A267779 4.44632 [{a(n+4)-100*a(n+3)-a(n+2)+100*a(n+1),a(0)=1,a(1)=101,a(2)=11001,a(3)=1111101} ogf] A267779 8.32982 [(11000*x^3+900*x^2+x+1)/(x-1)/(100*x-1)/(x+1) ogf] A267780 10.4844 [(24*x^3+4*x^2+x+1)/(x-1)/(4*x-1)/(x+1) ogf] A267780 5.43633 [{-a(n+4)+4*a(n+3)+a(n+2)-4*a(n+1),a(0)=1,a(1)=5,a(2)=25,a(3)=125} ogf] A267780 6.32676 [-f(x)*(4*f(x)*x^3-f(x)*x^2-24*x^3-4*f(x)*x-4*x^2+f(x)-x-1) ogf] A267780 6.55272 [-(40*x^4+200*x^3-45*x^2-10*x-5)/(96*x^6-8*x^5-96*x^4+11*x^3-x^2-3*x+1) lgdogf] A267781 10.7542 [-(14*x^7+32*x^6-16*x^5-30*x^4+x^2-14*x-17)/(x+1)/(x-1)^2 ogf] A267796 19.3494 [4/(16*x-1)^2 ogf] A267796 23.2193 [32/(-16*x+1) lgdogf] A267796 8.00666 [{-a(n+2)+32*a(n+1)-256*a(n),a(0)=4,a(1)=128} ogf] A267796 8.19505 [(5*f(x)+44)*(256*f(x)*x^2-32*f(x)*x+f(x)-4) ogf] A267797 13.8646 [-4*(x-19)/(x^2-18*x+1) ogf] A267797 7.08303 [(1525*f(x)+381)*(f(x)*x^2-18*f(x)*x+f(x)+4*x-76) ogf] A267797 7.49009 [{-a(n+2)+18*a(n+1)-a(n),a(0)=76,a(1)=1364} ogf] A267797 9.17800 [-(-x^2+38*x-341)/(-x^3+37*x^2-343*x+19) lgdogf] A267799 14.1987 [-(9*x^2-11*x+3)/(x-1)/(3*x-1)/(2*x-1) ogf] A267799 7.45429 [-(83*f(x)+435)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+9*x^2-f(x)-11*x+3) ogf] A267799 7.84663 [{-a(n+3)+6*a(n+2)-11*a(n+1)+6*a(n),a(0)=3,a(1)=7,a(2)=18} ogf] A267799 8.13196 [-(54*x^4-132*x^3+121*x^2-48*x+7)/(54*x^5-165*x^4+193*x^3-108*x^2+29*x-3) lgdogf] A267801 4.7489 [-(10657595421*f(x)-44157052945)*(100*f(x)*x^2-100000*x^3-101*f(x)*x-9000*x^2+f(x)+90*x-1) ogf] A267801 5.08022 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=11,a(2)=10011,a(3)=1110011} ogf] A267801 8.85605 [(10*x+1)*(10000*x^2-100*x+1)/(100*x-1)/(x-1) ogf] A267802 11.8372 [(2*x+1)*(16*x^2-4*x+1)/(4*x-1)/(x-1) ogf] A267802 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=3,a(2)=19,a(3)=115} ogf] A267802 6.85893 [-(-128*x^4+320*x^3-64*x^2-8*x-3)/(128*x^5-128*x^4-16*x^3+22*x^2-7*x+1) lgdogf] A267802 6.92362 [(477*f(x)-421)*(4*f(x)*x^2-32*x^3-5*f(x)*x-8*x^2+f(x)+2*x-1) ogf] A267804 4.56983 [(12109477596523*f(x)-527251679791309)*(10000*f(x)*x^4-10001*f(x)*x^2+10000*x^3-110*x^2+f(x)-111*x-1) ogf] A267804 8.12415 [-(10000*x^3-110*x^2-111*x-1)/(x-1)/(100*x-1)/(100*x+1)/(x+1) ogf] A267805 10.7454 [-(16*x^3-6*x^2-7*x-1)/(x-1)/(4*x-1)/(4*x+1)/(x+1) ogf] A267805 6.7656 [(556*f(x)+361)*(16*f(x)*x^4-17*f(x)*x^2+16*x^3-6*x^2+f(x)-7*x-1) ogf] A267806 11.6741 [-(x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A267807 8.00258 [-(x^8-x^7-2*x^6-2*x^5-2*x^3-x^2-x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A267808 10.6304 [-(x^5-2*x^4-x^3-x^2-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A267811 3.41696 [(72170925116085856071*f(x)+7166900857575647434630)*(1000*f(x)*x^3+100000*x^4-1110*f(x)*x^2-112000*x^3+111*f(x)*x+12010*x^2-f(x)-110*x+1) ogf] A267811 3.83906 [{-a(n+5)+111*a(n+4)-1110*a(n+3)+1000*a(n+2),a(0)=1,a(1)=1,a(2)=11011,a(3)=1110111,a(4)=111101111} ogf] A267811 6.46178 [-(100000*x^4-112000*x^3+12010*x^2-110*x+1)/(10*x-1)/(100*x-1)/(x-1) ogf] A267812 4.89270 [{-a(n+5)+7*a(n+4)-14*a(n+3)+8*a(n+2),a(0)=1,a(1)=1,a(2)=27,a(3)=119,a(4)=495} ogf] A267812 5.16834 [-(7965*f(x)+13162)*(8*f(x)*x^3+32*x^4-14*f(x)*x^2-64*x^3+7*f(x)*x+34*x^2-f(x)-6*x+1) ogf] A267812 9.06056 [-(32*x^4-64*x^3+34*x^2-6*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A267815 3.90088 [-(-795990587547200+72170881480071*f(x))*(1000*f(x)*x^3-1110*f(x)*x^2-10000*x^3+111*f(x)*x+10000*x^2-f(x)-100*x+1) ogf] A267815 4.34005 [{-a(n+4)+111*a(n+3)-1110*a(n+2)+1000*a(n+1),a(0)=1,a(1)=11,a(2)=10111,a(3)=1101111} ogf] A267815 7.53274 [(10000*x^3-10000*x^2+100*x-1)/(10*x-1)/(100*x-1)/(x-1) ogf] A267816 10.1931 [(16*x^3-16*x^2+4*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A267816 5.39636 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=1,a(1)=3,a(2)=23,a(3)=111} ogf] A267816 5.51807 [-(1215*f(x)-13024)*(8*f(x)*x^3-14*f(x)*x^2-16*x^3+7*f(x)*x+16*x^2-f(x)-4*x+1) ogf] A267831 9.39872 [(3*x^3+7*x^2-5*x-1)/(x-1)/(x^2+1)^2 ogf] A267832 3.02355 [(f(x)-1)*(f(x)*x^3+f(x)*x^2-4*f(x)*x+2*f(x)-2*x-2) egf] A267832 5.87596 [2*(x+1)/(x-1)/(x^2+2*x-2) egf] A267843 4.77573 [(12*x^10-17*x^9-139*x^8+20*x^7-12*x^6-12*x^5-12*x^4-12*x^3-24*x^2+5*x-1)/(4*x-1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A267846 4.73422 [-(2224220298190*f(x)-1150622341961)*(100*f(x)*x^2-9000*x^3-101*f(x)*x-1010*x^2+f(x)+x-1) ogf] A267846 5.06197 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=100,a(2)=11010,a(3)=1111010} ogf] A267846 9.26839 [(9000*x^3+1010*x^2-x+1)/(100*x-1)/(x-1) ogf] A267847 11.8372 [(8*x^3+10*x^2-x+1)/(4*x-1)/(x-1) ogf] A267847 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=4,a(2)=26,a(3)=122} ogf] A267847 6.43775 [-(17238*f(x)-14089)*(4*f(x)*x^2-8*x^3-5*f(x)*x-10*x^2+f(x)+x-1) ogf] A267847 7.72532 [-(-32*x^4+80*x^3+22*x^2-12*x-4)/(32*x^5-46*x^3+19*x^2-6*x+1) lgdogf] A267850 5.08022 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=10,a(2)=11110,a(3)=1111110} ogf] A267850 5.11991 [(7769077*f(x)+803872680)*(100*f(x)*x^2+10000*x^3-101*f(x)*x-10200*x^2+f(x)+91*x-1) ogf] A267850 8.85605 [-(10000*x^3-10200*x^2+91*x-1)/(100*x-1)/(x-1) ogf] A267851 11.6493 [-(16*x^3-24*x^2+3*x-1)/(4*x-1)/(x-1) ogf] A267851 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=30,a(3)=126} ogf] A267851 6.79542 [-(64*x^4-160*x^3+156*x^2-40*x-2)/(-64*x^5+176*x^4-148*x^3+43*x^2-8*x+1) lgdogf] A267851 6.92362 [(61*f(x)+776)*(4*f(x)*x^2+16*x^3-5*f(x)*x-24*x^2+f(x)+3*x-1) ogf] A267854 5.26445 [-(10000000*x^5-100000*x^4-11000*x^3-100*x^2-110*x-1)/(10*x+1)/(100*x-1)/(100*x+1)/(10*x-1)/(100*x^2+1) ogf] A267855 7.53285 [-(128*x^5-32*x^4-24*x^3-4*x^2-6*x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(4*x+1)/(4*x^2+1) ogf] A267867 11.1535 [(100*x^2+9*x+1)/(100*x-1)/(x-1) ogf] A267867 5.87550 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=110,a(2)=11110} ogf] A267867 7.83400 [-(11000*x^2-110)/(10000*x^4-9200*x^3-709*x^2-92*x+1) lgdogf] A267867 8.54618 [-100*f(x)*x^2+101*f(x)*x+100*x^2-f(x)+9*x+1 ogf] A267868 7.92405 [-(x^13-x^12+x^8-x^7+x^6-x^5+x^4-x+1)/(x-1) ogf] A267869 11.7869 [-(x^7-x^6+x^4-x^2+1)/(x-1) ogf] A267870 12.6328 [-(x^4-x^3+x^2-x+1)/(x-1) ogf] A267870 26.5027 [-x^9+x^4+x ogf_with_Euler_transform] A267870 6.53053 [{a(n+3)-a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=0,a(4)=1,a(5)=1} ogf] A267870 8.8575 [-f(x)*(x^4-x^3+f(x)*x+x^2-f(x)-x+1) ogf] A267871 13.5975 [-x^4+x^3-f(x)*x+f(x)-1 ogf] A267871 15.8175 [-(x^4-x^3+1)/(x-1) ogf] A267871 9.22687 [-(3*x^4-6*x^3+3*x^2-1)/(-x^5+2*x^4-x^3-x+1) lgdogf] A267872 10.3578 [-(2*x^3-6*x^2+7*x+1)/(-2*x^4+6*x^3-5*x^2+2*x-1) lgdogf] A267872 13.5840 [-(2*x^3-4*x^2+x-1)/(x-1)^2 ogf] A267872 7.26865 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=5,a(3)=7} ogf] A267872 7.67247 [-(20*f(x)+313)*(f(x)*x^2+2*x^3-2*f(x)*x-4*x^2+f(x)+x-1) ogf] A267873 13.5840 [-(x^4-3*x^2+x-1)/(x-1)^2 ogf] A267873 6.57640 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=4,a(3)=7,a(4)=9} ogf] A267873 7.67247 [-(4*f(x)+1419)*(x^4+f(x)*x^2-2*f(x)*x-3*x^2+f(x)+x-1) ogf] A267873 9.41620 [-(2*x^4-4*x^3+5*x+1)/(-x^5+x^4+3*x^3-4*x^2+2*x-1) lgdogf] A267874 11.8494 [(x^4-3*x^2+x-1)/(x-1)^3 ogf] A267874 5.60008 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=2,a(2)=6,a(3)=13,a(4)=22} ogf] A267874 6.33808 [-(556*f(x)-13059)*(f(x)*x^3-x^4-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-x+1) ogf] A267874 8.51679 [-(x^4-4*x^3+3*x^2+4*x+2)/(-x^5+x^4+3*x^3-4*x^2+2*x-1) lgdogf] A267876 7.38559 [-(100000*x^5-89910*x^3-10201*x^2+101*x-1)/(100*x-1)/(x-1) ogf] A267877 10.1484 [-(32*x^5-14*x^3-25*x^2+5*x-1)/(4*x-1)/(x-1) ogf] A267878 12.6328 [-(x^4-x^3+x^2-x+1)/(x-1) ogf] A267878 26.5027 [-x^9+x^4+x ogf_with_Euler_transform] A267878 6.53053 [{a(n+3)-a(n+1),a(0)=1,a(1)=0,a(2)=1,a(3)=0,a(4)=1,a(5)=1} ogf] A267878 8.8575 [-f(x)*(x^4-x^3+f(x)*x+x^2-f(x)-x+1) ogf] A267879 5.05801 [{-a(n+5)+11*a(n+4)-10*a(n+3),a(0)=1,a(1)=10,a(2)=101,a(3)=1010,a(4)=10101} ogf] A267879 5.67484 [(16437427*f(x)+794182)*(-x^4+10*f(x)*x^2+x^3-11*f(x)*x-x^2+f(x)+x-1) ogf] A267879 9.83106 [(x^4-x^3+x^2-x+1)/(10*x-1)/(x-1) ogf] A267880 11.6523 [(x^4-x^3+x^2-x+1)/(2*x-1)/(x-1) ogf] A267880 6.28133 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=10,a(4)=21} ogf] A267880 7.30918 [(13*f(x)-6)*(-x^4+2*f(x)*x^2+x^3-3*f(x)*x-x^2+f(x)+x-1) ogf] A267881 13.5161 [-(x^5-4*x^2+2*x-1)/(x-1)^2 ogf] A267881 9.81527 [-(-3*x^5+5*x^4-6*x)/(x^6-x^5-4*x^3+6*x^2-3*x+1) lgdogf] A267882 11.8494 [(x^5-4*x^2+2*x-1)/(x-1)^3 ogf] A267882 8.51679 [-(2*x^5-5*x^4+4*x^2+4*x+1)/(-x^6+x^5+4*x^3-6*x^2+3*x-1) lgdogf] A267883 10.5077 [-x^3-2*x^2-3*x+f(x) ogf] A267883 5.32208 [{-a(n+4),a(0)=0,a(1)=3,a(2)=2,a(3)=1} ogf] A267884 12.1103 [-(-x^2+2*x+5)/(x^3+x^2+x-3) lgdogf] A267884 15.8175 [-x*(x^2+2*x+3)/(x-1) ogf] A267884 8.15849 [{-a(n+4)+a(n+3),a(0)=0,a(1)=3,a(2)=5,a(3)=6} ogf] A267884 8.90869 [-(109*f(x)+112)*(x^3+f(x)*x+2*x^2-f(x)+3*x) ogf] A267885 4.03715 [(30555452702530555525*f(x)+3415707102346320598413)*(10000*x^4+100*f(x)*x^2-9000*x^3-101*f(x)*x-1011*x^2+f(x)+x-1) ogf] A267885 7.92839 [-(10000*x^4-9000*x^3-1011*x^2+x-1)/(100*x-1)/(x-1) ogf] A267886 10.3367 [-(16*x^4-8*x^3-11*x^2+x-1)/(4*x-1)/(x-1) ogf] A267886 5.60233 [{a(n+5)-5*a(n+4)+4*a(n+3),a(0)=1,a(1)=4,a(2)=27,a(3)=127,a(4)=511} ogf] A267886 5.9667 [(739773*f(x)+11670715)*(16*x^4+4*f(x)*x^2-8*x^3-5*f(x)*x-11*x^2+f(x)+x-1) ogf] A267887 4.20095 [-(1246787424787642100*f(x)+126490049430273452521)*(100*f(x)*x^2+10100*x^3-101*f(x)*x-10201*x^2+f(x)+91*x-1) ogf] A267887 5.08022 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=10,a(2)=11111,a(3)=1111111} ogf] A267887 8.85605 [-(10100*x^3-10201*x^2+91*x-1)/(100*x-1)/(x-1) ogf] A267888 11.6493 [-(20*x^3-25*x^2+3*x-1)/(4*x-1)/(x-1) ogf] A267888 6.11586 [-(1207764*f(x)+11042425)*(4*f(x)*x^2+20*x^3-5*f(x)*x-25*x^2+f(x)+3*x-1) ogf] A267888 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=31,a(3)=127} ogf] A267888 6.79542 [-(80*x^4-200*x^3+173*x^2-42*x-2)/(-80*x^5+200*x^4-157*x^3+44*x^2-8*x+1) lgdogf] A267889 4.66707 [-(120758122222100*f(x)+181939652356221)*(100*f(x)*x^2+100*x^3-101*f(x)*x-101*x^2+f(x)-9*x-1) ogf] A267889 5.06197 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=110,a(2)=11111,a(3)=1111111} ogf] A267889 9.53704 [-(100*x^3-101*x^2-9*x-1)/(100*x-1)/(x-1) ogf] A267890 12.0312 [-(4*x^3-5*x^2-x-1)/(4*x-1)/(x-1) ogf] A267890 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=6,a(2)=31,a(3)=127} ogf] A267890 6.43775 [-(28404*f(x)+307309)*(4*f(x)*x^2+4*x^3-5*f(x)*x-5*x^2+f(x)-x-1) ogf] A267890 7.19515 [-(16*x^4-40*x^3+41*x^2-2*x-6)/(-16*x^5+40*x^4-25*x^3+4*x^2-4*x+1) lgdogf] A267905 4.86124 [-(13*f(x)-3)*(2*f(x)*x^4+f(x)*x^3-7*f(x)*x^2+x^3+5*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A267905 8.96488 [-(x^3+2*x^2-3*x+1)/(2*x-1)/(x-1)/(x^2+2*x-1) ogf] A267906 4.27651 [-2*(4*x^6-14*x^5-34*x^4-15*x^3+23*x^2-7*x+1)/(x-1)/(4*x-1)/(x+1)/(x^2-6*x+1)/(4*x^2+4*x-1) ogf] A267912 4.84338 [{a(n+5)-3*a(n+4)-2*a(n+3)+8*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=11,a(4)=29} ogf] A267912 5.23802 [-(600*f(x)+179)*(8*f(x)*x^3-4*x^4-2*f(x)*x^2-3*x^3-3*f(x)*x+4*x^2+f(x)+x-1) ogf] A267912 9.18355 [(4*x^4+3*x^3-4*x^2-x+1)/(2*x-1)/(4*x^2+x-1) ogf] A267913 3.95437 [2*(1024*x^7+576*x^6-1016*x^5+98*x^4+137*x^3-27*x^2-4*x+1)/(4*x-1)/(4*x+1)/(16*x^2+2*x-1)/(16*x^2-9*x+1) ogf] A267920 11.7510 [(1000*x^2+1)/(100*x-1)/(x-1) ogf] A267920 5.87550 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=101,a(2)=11101} ogf] A267920 6.3889 [(12001*f(x)-1800)*(100*f(x)*x^2-101*f(x)*x-1000*x^2+f(x)-1) ogf] A267920 6.78408 [-(101000*x^2-1800*x-101)/(100000*x^4-101000*x^3+1100*x^2-101*x+1) lgdogf] A267921 14.9777 [(8*x^2+1)/(4*x-1)/(x-1) ogf] A267921 7.12529 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=5,a(2)=29} ogf] A267921 8.15449 [(33*f(x)-8)*(4*f(x)*x^2-5*f(x)*x-8*x^2+f(x)-1) ogf] A267921 9.65664 [-(40*x^2-8*x-5)/(32*x^4-40*x^3+12*x^2-5*x+1) lgdogf] A267923 10.5701 [(10000*x^2-90*x+1)/(100*x-1)/(x-1) ogf] A267923 5.5538 [-(9017109*f(x)-9017120)*(100*f(x)*x^2-101*f(x)*x-10000*x^2+f(x)+90*x-1) ogf] A267923 5.90404 [{-a(n+3)+101*a(n+2)-100*a(n+1),a(0)=1,a(1)=11,a(2)=11011} ogf] A267923 6.48859 [-(1001000*x^2-19800*x-11)/(1000000*x^4-1019000*x^3+19190*x^2-191*x+1) lgdogf] A267924 13.5908 [(16*x^2-2*x+1)/(4*x-1)/(x-1) ogf] A267924 7.12529 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=27} ogf] A267924 7.33904 [-(77*f(x)-80)*(4*f(x)*x^2-5*f(x)*x-16*x^2+f(x)+2*x-1) ogf] A267924 9.53123 [-(72*x^2-24*x-3)/(64*x^4-88*x^3+30*x^2-7*x+1) lgdogf] A267925 10.4453 [(110*x+1)/(100*x+1)/(100*x-1)/(x-1) ogf] A267925 5.10121 [(2205219174*f(x)+49171895)*(10000*f(x)*x^3-10000*f(x)*x^2-f(x)*x+f(x)-110*x-1) ogf] A267925 5.22267 [{a(n+3)-a(n+2)-10000*a(n+1)+10000*a(n),a(0)=1,a(1)=111,a(2)=10111} ogf] A267925 5.67290 [-(2200000*x^3-1070000*x^2-20000*x-111)/(1100000*x^4-1090000*x^3-10110*x^2+109*x+1) lgdogf] A267926 13.2852 [(6*x+1)/(4*x+1)/(4*x-1)/(x-1) ogf] A267926 6.35379 [{-a(n+3)+a(n+2)+16*a(n+1)-16*a(n),a(0)=1,a(1)=7,a(2)=23} ogf] A267926 6.58275 [(1674*f(x)+1499)*(16*f(x)*x^3-16*f(x)*x^2-f(x)*x+f(x)-6*x-1) ogf] A267926 8.39869 [-(-192*x^3+48*x^2+32*x+7)/(-96*x^4+80*x^3+22*x^2-5*x-1) lgdogf] A267927 12.5598 [-(x^7-x^6+x^3-x+1)/(x-1) ogf] A267928 3.92922 [-(259*x^7+388*x^6-152*x^5-284*x^4+94*x^3+60*x^2-32*x+4)/(x+1)^3/(3*x-1)^5 ogf] A267934 3.81661 [-(122222100701922222100*f(x)+25762773802466916393531)*(10000*x^4+100*f(x)*x^2+900*x^3-101*f(x)*x-11010*x^2+f(x)+100*x-1) ogf] A267934 4.40973 [{a(n+5)-101*a(n+4)+100*a(n+3),a(0)=1,a(1)=1,a(2)=11011,a(3)=1111111,a(4)=111111111} ogf] A267934 7.67812 [-(10000*x^4+900*x^3-11010*x^2+100*x-1)/(100*x-1)/(x-1) ogf] A267935 10.3367 [-(16*x^4+4*x^3-26*x^2+4*x-1)/(4*x-1)/(x-1) ogf] A267935 5.60233 [{a(n+5)-5*a(n+4)+4*a(n+3),a(0)=1,a(1)=1,a(2)=27,a(3)=127,a(4)=511} ogf] A267935 5.87123 [-(99468*f(x)+1777213)*(16*x^4+4*f(x)*x^2+4*x^3-5*f(x)*x-26*x^2+f(x)+4*x-1) ogf] A267936 13.5975 [-x^3-f(x)*x+x^2+f(x)-1 ogf] A267936 15.8175 [-(x^3-x^2+1)/(x-1) ogf] A267936 8.15849 [{a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A267936 9.68821 [-(2*x^3-4*x^2+2*x-1)/(-x^4+2*x^3-x^2-x+1) lgdogf] A267937 4.76852 [-(12220758122210*f(x)+127794705165621)*(100*f(x)*x^2+1000*x^3-101*f(x)*x-1010*x^2+f(x)-1) ogf] A267937 5.06197 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=101,a(2)=11111,a(3)=1111111} ogf] A267937 9.82173 [-(1000*x^3-1010*x^2-1)/(100*x-1)/(x-1) ogf] A267938 12.6535 [-(8*x^3-10*x^2-1)/(4*x-1)/(x-1) ogf] A267938 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=5,a(2)=31,a(3)=127} ogf] A267938 6.61174 [-(21978*f(x)+158789)*(4*f(x)*x^2+8*x^3-5*f(x)*x-10*x^2+f(x)-1) ogf] A267938 7.05678 [-(32*x^4-80*x^3+74*x^2-12*x-5)/(-32*x^5+80*x^4-58*x^3+14*x^2-5*x+1) lgdogf] A267940 4.55103 [-(1222220758121*f(x)+122775477915861)*(100*f(x)*x^2+10000*x^3-101*f(x)*x-10100*x^2+f(x)+90*x-1) ogf] A267940 5.08022 [{a(n+4)-101*a(n+3)+100*a(n+2),a(0)=1,a(1)=11,a(2)=11111,a(3)=1111111} ogf] A267940 8.85605 [-(10000*x^3-10100*x^2+90*x-1)/(100*x-1)/(x-1) ogf] A267941 11.6493 [-(16*x^3-20*x^2+2*x-1)/(4*x-1)/(x-1) ogf] A267941 6.27269 [{a(n+4)-5*a(n+3)+4*a(n+2),a(0)=1,a(1)=3,a(2)=31,a(3)=127} ogf] A267941 6.38177 [-(11961*f(x)+99109)*(4*f(x)*x^2+16*x^3-5*f(x)*x-20*x^2+f(x)+2*x-1) ogf] A267941 6.79542 [-(64*x^4-160*x^3+140*x^2-32*x-3)/(-64*x^5+160*x^4-124*x^3+34*x^2-7*x+1) lgdogf] A267942 9.31264 [-(2*x^4+4*x^3-7*x^2+3)/(x+1)^2/(x-1)^3 ogf] A267946 12.1105 [-(2*x^2-1)/(2*x-1)/(3*x^2+x-1) ogf] A267946 6.10881 [-(71*f(x)-34)*(6*f(x)*x^3-f(x)*x^2-3*f(x)*x+2*x^2+f(x)-1) ogf] A267946 6.16336 [{a(n+3)-3*a(n+2)-a(n+1)+6*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A267946 7.50322 [-(-12*x^4+12*x^2+2*x-3)/(-12*x^5+2*x^4+12*x^3-3*x^2-3*x+1) lgdogf] A267947 4.63625 [-3*(144*x^5-72*x^4-36*x^3+18*x^2+x-1)/(3*x+1)/(4*x-1)/(9*x^2-7*x+1)/(12*x^2+2*x-1) ogf] A267958 12.0121 [-(-2*x^3-5*x^2-2*x-3)/(-x^4-x^3+x+1) lgdogf] A267958 13.3058 [4*x*(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A267958 29.6955 [3-2*x+1/2*x^2 egf]_with_Euler_transform] A267958 5.24166 [{(-n-3)*a(n+1)-a(n+2)-a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=4,a(2)=12,a(3)=16} ogf] A267958 7.20729 [-(f(x)-40)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-8*x^2+f(x)-4*x) ogf] A267960 6.83081 [-(17*x^5+3*x^4-24*x^3+3*x^2+9*x-3)/(x+1)^2/(2*x-1)^4 ogf] A267975 4.38280 [-(x^7+12*x^6+50*x^5+72*x^4+6*x^3-72*x^2+32*x-4)/(x^2+3*x-1)^4 ogf] A267981 5.52871 [{(16*n^2+64*n+60)*a(n+1)+(-n^2-6*n-9)*a(n+2),a(0)=2,a(1)=6} ogf] A267982 4.80167 [{(-16*n^3-80*n^2-132*n-72)*a(n+1)+(n^3+7*n^2+15*n+9)*a(n+2),a(0)=0,a(1)=4} ogf] A267984 13.0646 [(7*x^2+6*x+17)/(x+1)/(x-1)^2 ogf] A267984 6.75004 [-(34*f(x)+1633)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-6*x-17) ogf] A267984 7.04351 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=17,a(1)=23,a(2)=47} ogf] A267984 9.52946 [-(-7*x^3-19*x^2-71*x-23)/(-7*x^4-6*x^3-10*x^2+6*x+17) lgdogf] A267985 12.9371 [(17*x^2+6*x+7)/(x+1)/(x-1)^2 ogf] A267985 6.85558 [-(2*f(x)+85)*(f(x)*x^3-f(x)*x^2-f(x)*x-17*x^2+f(x)-6*x-7) ogf] A267985 7.03598 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=7,a(1)=13,a(2)=37} ogf] A267985 9.32677 [-(17*x^3+29*x^2+61*x+13)/(17*x^4+6*x^3-10*x^2-6*x-7) lgdogf] A267987 12.5932 [4*hypergeom([1/2,1/2],[2],16*x) ogf] A267987 5.52871 [{(-16*n^2-48*n-36)*a(n+1)+(n^2+5*n+6)*a(n+2),a(0)=4,a(1)=8} ogf] A268013 6.82011 [-(x^5+6*x^4+9*x^3-9*x+3)/(x^2+2*x-1)^3 ogf] A268044 11.0347 [-(x^3+13*x^2+17*x+9)/(x^4+6*x^3+2*x^2-6*x-3) lgdogf] A268044 14.8336 [(x^2+6*x+3)/(x+1)/(x-1)^2 ogf] A268044 7.86826 [(190*f(x)-761)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-6*x-3) ogf] A268044 8.00751 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=9,a(2)=13} ogf] A268052 3.97096 [-(1070*f(x)+667)*(140*f(x)*x^3-108*f(x)*x^2+21*f(x)*x+26*x^2-f(x)-13*x+1) ogf] A268052 4.27382 [{-a(n+3)+21*a(n+2)-108*a(n+1)+140*a(n),a(0)=1,a(1)=8,a(2)=86} ogf] A268052 7.41634 [-(26*x^2-13*x+1)/(14*x-1)/(2*x-1)/(5*x-1) ogf] A268053 3.25009 [-(12463276195162*f(x)+4502678077529)*(5740*f(x)*x^4-4568*f(x)*x^3+969*f(x)*x^2+674*x^3-62*f(x)*x-399*x^2+f(x)+46*x-1) ogf] A268053 6.42875 [-(674*x^3-399*x^2+46*x-1)/(14*x-1)/(2*x-1)/(41*x-1)/(5*x-1) ogf] A268054 3.54207 [-(52740*x^4-34208*x^3+4739*x^2-152*x+1)/(122*x-1)/(14*x-1)/(2*x-1)/(41*x-1)/(5*x-1) ogf] A268069 5.02146 [(12*x^7-32*x^5+11*x^4+24*x^3-5*x^2-4*x+1)/(3*x-1)/(x-1)/(6*x^2+2*x-1)/(2*x^2-1) ogf] A268075 4.53815 [-(1120*x^4-938*x^3+261*x^2-28*x+1)/(5*x-1)/(15*x-1)/(2*x-1)/(10*x-1)/(4*x-1) ogf] A268085 5.11738 [{(-16*n^3-80*n^2-132*n-72)*a(n+1)+(n^3+7*n^2+15*n+9)*a(n+2),a(0)=0,a(1)=1} ogf] A268093 10.8601 [-(x^2+x-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A268093 5.91486 [{-a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A268093 6.43168 [f(x)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+x^2+f(x)+x-1) ogf] A268093 6.90067 [-(-4*x^4-8*x^3+6*x^2+6*x-3)/(-4*x^5-6*x^4+6*x^3+5*x^2-5*x+1) lgdogf] A268094 4.73041 [-3*(16*x^5-16*x^4-26*x^3+x^2+5*x-1)/(2*x+1)/(4*x-1)/(8*x^2+4*x-1)/(4*x^2-8*x+1) ogf] A268099 13.5429 [(5*x+4)/(x-1)/(10*x^2-1) ogf] A268099 6.36632 [-(40239*f(x)+83966)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+f(x)-5*x-4) ogf] A268099 6.47704 [{a(n+3)-a(n+2)-10*a(n+1)+10*a(n),a(0)=4,a(1)=9,a(2)=49} ogf] A268099 8.56161 [-(100*x^3+70*x^2-80*x-9)/(50*x^4-10*x^3-45*x^2+x+4) lgdogf] A268100 10.0657 [-(14*f(x)+11)*(10*f(x)*x^2-f(x)+5*x+1) ogf] A268100 10.9538 [-(-50*x^2-20*x-5)/(-50*x^3-10*x^2+5*x+1) lgdogf] A268100 11.4594 [{a(n+2)-10*a(n),a(0)=1,a(1)=5} ogf] A268100 17.7348 [-(5*x+1)/(10*x^2-1) ogf] A268133 13.5827 [(19*x^15+142*x^12+229*x^11-x-1)/(x^2+x-1) ogf] A268147 10.5522 [-256*f(x)*x^2+32*f(x)*x-f(x)+16*x ogf] A268147 16.2143 [16*x/(16*x-1)^2 ogf] A268147 22.1595 [32/(-16*x+1) lgdogf] A268147 7.82100 [{a(n+2)-32*a(n+1)+256*a(n),a(0)=0,a(1)=16} ogf] A268148 10.7166 [-8*x*(48*x+1)/(16*x-1)^3 ogf] A268148 12.6651 [-(-1536*x-96)/(-768*x^2+32*x+1) lgdogf] A268148 5.85361 [{a(n+3)-48*a(n+2)+768*a(n+1)-4096*a(n),a(0)=0,a(1)=8,a(2)=768} ogf] A268148 6.005 [(12*f(x)+1)*(4096*f(x)*x^3-768*f(x)*x^2+48*f(x)*x+384*x^2-f(x)+8*x) ogf] A268149 3.67031 [{(-192*n^2-576*n-420)*a(n+1)+(44*n^2+210*n+306)*a(n+2)+(-2*n^2-9*n-10)*a(n+3),a(0)=0,a(1)=24,a(2)=1120} ogf] A268151 10.9922 [-8*x*(112*x+5)/(16*x-1)^3 ogf] A268151 12.7278 [-(3584*x+352)/(1792*x^2-32*x-5) lgdogf] A268151 5.58064 [-(215136*f(x)-424337)*(4096*f(x)*x^3-768*f(x)*x^2+48*f(x)*x+896*x^2-f(x)+40*x) ogf] A268151 5.99573 [{a(n+3)-48*a(n+2)+768*a(n+1)-4096*a(n),a(0)=0,a(1)=40,a(2)=2816} ogf] A268152 5.92188 [-8*x*(417792*x^3+67840*x^2+1024*x+1)/(16*x-1)^5 ogf] A268152 6.07117 [-(13369344*x^3+4509696*x^2+201216*x+1104)/(6684672*x^4+667648*x^3-51456*x^2-1008*x-1) lgdogf] A268163 14.0287 [6*x-6*f(x)+3*f(x)^2+f(x)^3 egf] A268163 16.2605 [-1/6*x*(x^2+3*x-6) revegf] A268163 3.25210 [{(9*n^3-n)*a(n)+(-99*n^3-372*n^2-472*n-176)*a(n+1)+(-264*n^2-935*n-792)*a(n+2)+(242+121*n)*a(n+3),a(0)=0,a(1)=1,a(2)=1} ogf] A268164 10.5912 [-(3*x^2+x-1)/(3*x-1)/(4*x^2+2*x-1) ogf] A268164 5.47209 [-(794*f(x)-189)*(12*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+3*x^2+f(x)+x-1) ogf] A268164 5.76011 [{a(n+3)-5*a(n+2)+2*a(n+1)+12*a(n),a(0)=1,a(1)=4,a(2)=15} ogf] A268165 3.89566 [-4*(1296*x^5-540*x^4-270*x^3+37*x^2+7*x-1)/(9*x-1)/(4*x+1)/(36*x^2+6*x-1)/(16*x^2-12*x+1) ogf] A268201 11.6854 [x*(x^2+10*x+13)/(x-1)^4 ogf] A268201 13.0806 [-(2*x^2+32*x+62)/(x^3+9*x^2+3*x-13) lgdogf] A268201 4.31726 [{(-39-13*n)*a(n+4)+(68+3*n)*a(n+3)+(41+9*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=13,a(2)=62,a(3)=171} ogf] A268201 6.08613 [(18984*f(x)+167219)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-10*x^2+f(x)-13*x) ogf] A268208 3.39678 [{-a(n+1)*n+(7*n+12)*a(n+2)+(-7*n-30)*a(n+3)+(n+6)*a(n+4),a(0)=1,a(1)=3,a(2)=12,a(3)=52} ogf] A268208 6.09517 [-f(x)^2*x^2-f(x)*x^3+5*f(x)*x^2-5*f(x)*x-x^2+f(x)+2*x-1 ogf] A268218 4.40999 [{(n^2+5*n+6)*a(n+1)+(-n^2-4*n-3)*a(n+2)+a(n+3)*n,a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=4} ogf] A268219 4.23625 [{(n^2+5*n+6)*a(n+1)+(-n^2-3*n)*a(n+2)+(n-1)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=5} ogf] A268220 3.68314 [{(-n^2-5*n-6)*a(n+1)+(n^2+2*n-3)*a(n+2)+(-n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=6} ogf] A268226 9.73667 [(x+2)*(x^2+x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A268251 6.90969 [-x*(2*x^6+50*x^5+45*x^4-148*x^3-96*x^2+2*x+1)/(x-1)/(x+1)/(x^2-10*x+1)/(x^2+10*x+1) ogf] A268255 4.44482 [-(1855*f(x)-7734)*(6*f(x)*x^4+7*f(x)*x^3-15*f(x)*x^2+18*x^3+7*f(x)*x+28*x^2-f(x)-32*x+7) ogf] A268255 8.28604 [-(18*x^3+28*x^2-32*x+7)/(3*x-1)/(2*x-1)/(x^2+2*x-1) ogf] A268256 4.97697 [-(96*x^5+403*x^4+165*x^3-364*x^2+126*x-13)/(3*x-1)/(4*x-1)/(2*x^2+3*x-1)/(x^2+3*x-1) ogf] A268257 3.39049 [-(600*x^7+4261*x^6+7524*x^5-220*x^4-4512*x^3+2079*x^2-352*x+21)/(4*x-1)/(5*x-1)/(2*x^2+4*x-1)/(3*x^2+4*x-1)/(x^2+4*x-1) ogf] A268262 7.35724 [-(2*x^4-7*x^3+23*x^2-3*x+9)/(x-1)^5 ogf] A268263 6.00889 [-(2*x^5-17*x^4+14*x^3-98*x^2-4*x-17)/(x-1)^6 ogf] A268264 4.62875 [-(x^7-2*x^6-2*x^5+107*x^4+143*x^3+398*x^2+42*x+33)/(x-1)^7 ogf] A268265 3.67037 [-(5*x^8-35*x^7+76*x^6-271*x^5-1016*x^4-1961*x^3-1576*x^2-197*x-65)/(x-1)^8 ogf] A268266 4.46530 [-(x^10+12*x^9-138*x^8+593*x^7-723*x^6+5679*x^5+12257*x^4+15567*x^3+6186*x^2+757*x+129)/(x-1)^9 ogf] A268291 6.29388 [x*(12*x^11+11*x^10+10*x^9+9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A268292 9.40991 [-x^7/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A268297 17.0841 [-(-x^4-2*x^3+x^2+x)/(x^2+x-1) revogf] A268306 7.83706 [-(x^5+x^3-x^2+x-1)/(x-1)/(x^2+1)/(x^3+x^2+x-1) ogf] A268315 13.8678 [(8*x^3-8*x^2-4*x-9)/(x-1)/(x^2+x+1) ogf] A268315 8.23402 [{-a(n+4)+a(n+1),a(0)=9,a(1)=4,a(2)=8,a(3)=1} ogf] A268315 9.19146 [(457*f(x)-33)*(f(x)*x^3-8*x^3+8*x^2-f(x)+4*x+9) ogf] A268321 6.34526 [-(5*x^5+11*x^4-11*x^3-10*x^2+10*x-2)/(x-1)/(3*x-1)/(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A268329 11.7674 [10/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A268329 5.78879 [{(-4*n^2-30*n-56)*a(n+1)+(n^2+9*n+14)*a(n+2),a(0)=2,a(1)=10} ogf] A268344 10.6348 [-3*f(x)*x^2+11*f(x)*x-f(x)+x ogf] A268344 12.7618 [-(6*x-11)/(3*x^2-11*x+1) lgdogf] A268344 18.7674 [x/(3*x^2-11*x+1) ogf] A268344 7.78159 [{a(n+2)-11*a(n+1)+3*a(n),a(0)=0,a(1)=1} ogf] A268349 4.82024 [-(136931*f(x)-207774)*(4*f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2-6*x^3+f(x)*x-x^2-f(x)+x+1) ogf] A268349 9.45269 [(6*x^3+x^2-x-1)/(4*x^4+3*x^3+2*x^2+x-1) ogf] A268351 15.3795 [-3*x*(5*x+4)/(x-1)^3 ogf] A268351 18.1478 [-(10*x+17)/(5*x^2-x-4) lgdogf] A268351 7.68973 [(11745*f(x)-105469)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+15*x^2-f(x)+12*x) ogf] A268351 8.02998 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=51} ogf] A268358 5.83593 [-(-1200*x^4+2096*x^3-1200*x^2+270*x-20)/(-240*x^5+524*x^4-400*x^3+135*x^2-20*x+1) lgdogf] A268358 9.75434 [-27216/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(10*x-1) ogf] A268363 10.0424 [(6*f(x)-5)*(2*f(x)*x^2-f(x)+x+1) egf] A268363 10.5131 [-(-2*x^2-4*x-1)/(-2*x^3-2*x^2+x+1) lgdegf] A268363 16.4107 [-(x+1)/(2*x^2-1) egf] A268368 6.26582 [-x*(3*x^13+3*x^12-6*x^9-5*x^8-4*x^7+3*x^5+x^4+4*x^3+4*x^2+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A268407 7.84062 [-f(x)^2*x^2-4*f(x)^2*x+f(x)^2-f(x)*x+f(x)-x-2 ogf] A268409 10.2250 [-(14*x^2-12*x-5)/(14*x^3+22*x^2-19*x+3) lgdogf] A268409 15.6784 [(7*x-3)/(2*x^2+4*x-1) ogf] A268409 7.75305 [-(32*f(x)-71)*(2*f(x)*x^2+4*f(x)*x-f(x)-7*x+3) ogf] A268409 8.60399 [{-a(n+2)+4*a(n+1)+2*a(n),a(0)=3,a(1)=5} ogf] A268410 11.9225 [(x+1)*(3*x-5)/(x^3+x^2+x-1) ogf] A268410 6.16334 [(2471*f(x)-11101)*(f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2-f(x)+2*x+5) ogf] A268410 6.49352 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=5,a(1)=7,a(2)=9} ogf] A268410 7.42116 [-(-3*x^4+4*x^3+20*x^2+4*x+7)/(-3*x^5-x^4+4*x^3+10*x^2+3*x-5) lgdogf] A268413 12.9102 [-(28*x-13)/(14*x^2-13*x-1) lgdogf] A268413 21.6559 [-1/(14*x+1)/(x-1) ogf] A268413 7.80619 [(197*f(x)-28)*(14*f(x)*x^2-13*f(x)*x-f(x)+1) ogf] A268413 7.89802 [{a(n+2)+13*a(n+1)-14*a(n),a(0)=1,a(1)=-13} ogf] A268414 11.4307 [-(x^2-4*x+1)/(5*x-1)/(x-1)^2 ogf] A268414 5.90588 [-(211*f(x)+114)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+x^2-f(x)-4*x+1) ogf] A268414 6.21671 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A268414 8.33771 [-(-5*x^3+35*x^2-17*x+3)/(-5*x^4+26*x^3-30*x^2+10*x-1) lgdogf] A268419 5.93439 [-(x^5+4*x^4-2*x^3-9*x^2+6*x-1)/(3*x-1)/(x-1)/(x^2+x-1)/(x^2+3*x-1) ogf] A268428 7.53941 [-(149*x^4-296*x^3+300*x^2-296*x+149)/(x^2+1)/(x-1)^3 ogf] A268430 6.16295 [16*f(x)^2*x^3+12*f(x)^2*x^2-8*f(x)^2*x+f(x)^2-4*f(x)*x+9*x^2+f(x)+6*x-2 ogf] A268446 13.7726 [28/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A268446 6.66768 [{(-4*n^2-66*n-272)*a(n+1)+(n^2+18*n+32)*a(n+2),a(0)=1,a(1)=14} ogf] A268447 12.2850 [36/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2)) lgdogf] A268447 5.94748 [{(-4*n^2-82*n-420)*a(n+1)+(n^2+22*n+40)*a(n+2),a(0)=1,a(1)=18} ogf] A268451 5.83335 [-(x^5-3*x^4+8*x^3-10*x^2+9*x-3)/(x^3-2*x^2+3*x-1)^2 ogf] A268458 7.42558 [-(x^4-4*x^3+4*x^2+12*x+11)/(x-1)^5 ogf] A268458 7.91518 [-(-x^4+4*x^3-56*x-67)/(-x^5+5*x^4-8*x^3-8*x^2+x+11) lgdogf] A268459 6.48517 [4*(x^4-4*x^3+9*x^2+20*x+4)/(x-1)^6 ogf] A268459 6.79998 [-(2*x^4-8*x^3+24*x^2+118*x+44)/(x^5-5*x^4+13*x^3+11*x^2-16*x-4) lgdogf] A268460 4.99417 [2*(2*x^6-11*x^5+13*x^4+6*x^3-208*x^2-151*x-11)/(x-1)^7 ogf] A268461 3.76630 [-(x^8-13*x^7+88*x^6-335*x^5+536*x^4-1355*x^3-2996*x^2-937*x-29)/(x-1)^8 ogf] A268462 11.4793 [-(-32*x^2+56*x-28)/(-16*x^3+32*x^2-22*x+5) lgdogf] A268462 5.39298 [{(2*n^2+6*n-8)*a(n+1)+(-n^2+4)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=10} ogf] A268462 9.68137 [2*x^4*(8*x^2-12*x+5)/(2*x-1)^4 ogf] A268484 11.7327 [-(x^2-6*x-3)/(x-1)^4 ogf] A268484 12.2660 [-(-2*x^2+16*x+18)/(-x^3+7*x^2-3*x-3) lgdogf] A268484 4.00771 [{(-3*n-12)*a(n+4)+(9-3*n)*a(n+3)+(30+7*n)*a(n+2)+(-3-n)*a(n+1),a(0)=3,a(1)=18,a(2)=53,a(3)=116} ogf] A268484 5.95264 [(2692*f(x)+18713)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-6*x-3) ogf] A268519 5.94455 [-(64000*x^6-31000*x^5-36000*x^4+5400*x^3+900*x^2-424*x+121)/(4*x-1)/(x-1)/(1000*x^5-1) ogf] A268539 7.76616 [-x*(2*x^4-3*x^3+8*x^2-3*x+2)/(x^2+1)^2/(x-1)^3 ogf] A268549 3.45247 [{(144*n^3+624*n^2+900*n+432)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=12} ogf] A268549 8.54339 [hypergeom([1/3,1/2,1/2],[1,1],144*x) ogf] A268553 3.24391 [{(-729*n^4-4374*n^3-9801*n^2-9720*n-3600)*a(n+1)+(n^4+8*n^3+24*n^2+32*n+16)*a(n+2),a(0)=1,a(1)=36} ogf] A268554 3.02457 [{(-864*n^4-5184*n^3-11586*n^2-11430*n-4200)*a(n+1)+(2*n^4+15*n^3+42*n^2+52*n+24)*a(n+2),a(0)=1,a(1)=36} ogf] A268555 3.41158 [{(16*n^2+64*n+60)*a(n+1)+(-24*n^2-120*n-150)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=6,a(2)=78} ogf] A268579 7.24885 [-(2*x^2+1)*(x^2-6*x-1)/(x+1)^3/(x-1)^4 ogf] A268581 12.4390 [-(-x^2-2*x+15)/(-x^3+x^2+5*x-5) lgdogf] A268581 14.1848 [(x^2-5)/(x-1)^3 ogf] A268581 7.09239 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=15,a(2)=29} ogf] A268581 7.21903 [(117*f(x)-1061)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+5) ogf] A268586 11.6313 [x^3*(3*x-2)/(2*x-1)^3 ogf] A268586 14.7171 [-(-12*x+9)/(-6*x^2+7*x-2) lgdogf] A268586 5.07844 [{-a(n+5)+6*a(n+4)-12*a(n+3)+8*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=2,a(4)=9} ogf] A268586 6.6772 [-f(x)*(8*f(x)*x^3-3*x^4-12*f(x)*x^2+2*x^3+6*f(x)*x-f(x)) ogf] A268587 10.5963 [-(-52*x^2+70*x-24)/(-26*x^3+45*x^2-26*x+5) lgdogf] A268587 9.04563 [x^4*(13*x^2-16*x+5)/(2*x-1)^4 ogf] A268598 10.3497 [-x^5*(5*x-4)/(2*x-1)^4 ogf] A268598 14.3303 [-(-30*x+27)/(-10*x^2+13*x-4) lgdogf] A268598 4.51622 [{(2*n^2+8*n-10)*a(n+1)+(-n^2-n+12)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=4} ogf] A268599 10.8416 [-(-42*x^2+66*x-30)/(-14*x^3+27*x^2-18*x+4) lgdogf] A268599 3.91192 [{(2*n^3+10*n^2+12*n-80)*a(n+1)+(-n^3-n^2+6*n+56)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=8} ogf] A268599 8.24904 [-2*x^6*(7*x^2-10*x+4)/(2*x-1)^5 ogf] A268613 8.67180 [-(19*x^11+3*x^10+16*x^9+7*x^8+9*x^7+18*x^6+11*x^5+7*x^4+4*x^3+3*x^2+x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A268615 8.89140 [-(39*x^11+3*x^10+36*x^9+7*x^8+29*x^7+18*x^6+11*x^5+7*x^4+4*x^3+3*x^2+x+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A268622 10.4516 [-(-10*x+14)/(3*x^3-13*x^2+13*x-3) lgdogf] A268622 11.6129 [3*(x-1)*(x-3)/(3*x-1)^2 ogf] A268622 5.97236 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=9,a(1)=42,a(2)=174} ogf] A268622 6.60104 [(8*f(x)+75)*(9*f(x)*x^2-6*f(x)*x-3*x^2+f(x)+12*x-9) ogf] A268623 3.63119 [-(1908947878*f(x)+2087742399)*(4*f(x)*x^4-20*f(x)*x^3+29*f(x)*x^2-6*x^3-10*f(x)*x-42*x^2+f(x)+66*x-24) ogf] A268623 7.21863 [6*(x^3+7*x^2-11*x+4)/(2*x^2-5*x+1)^2 ogf] A268624 4.22119 [6*(8*x^6-36*x^5+87*x^4-157*x^3+162*x^2-69*x+10)/(6*x^3-15*x^2+9*x-1)^2 ogf] A268633 11.7137 [3*(x+1)^2/(3*x-1)^2 ogf] A268633 17.2452 [-8/(3*x^2+2*x-1) lgdogf] A268633 5.91264 [{-a(n+3)+6*a(n+2)-9*a(n+1),a(0)=3,a(1)=24,a(2)=120} ogf] A268633 6.60455 [(2*f(x)+21)*(9*f(x)*x^2-6*f(x)*x-3*x^2+f(x)-6*x-3) ogf] A268634 3.82148 [(1253154494*f(x)+918610471)*(4*f(x)*x^4-20*f(x)*x^3+29*f(x)*x^2-18*x^3-10*f(x)*x+12*x^2+f(x)-12) ogf] A268634 7.54620 [6*(3*x^3-2*x^2+2)/(2*x^2-5*x+1)^2 ogf] A268635 4.25178 [6*(8*x^6-12*x^5-27*x^4+38*x^3+17*x^2-24*x+6)/(6*x^3-15*x^2+9*x-1)^2 ogf] A268644 10.3007 [-(6*x^3+52*x^2+40*x-2)/(6*x^4+11*x^3-15*x^2-3*x+1) lgdogf] A268644 11.0931 [(3*x+1)*(2*x^2+5*x-1)/(x-1)^4 ogf] A268644 4.39219 [{(-539*n^2-2227*n-2298)*a(n+1)+(286*n^2-1060*n-2556)*a(n+2)+(253*n^2+911*n+456)*a(n+3),a(0)=-1,a(1)=-2,a(2)=15} ogf] A268644 5.65531 [-(254976*f(x)+1619249)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x-17*x^2+f(x)-2*x+1) ogf] A268684 12.1691 [2*x*(3*x+1)/(x-1)^4 ogf] A268684 16.4790 [-(-9*x-7)/(-3*x^2+2*x+1) lgdogf] A268684 5.27327 [{(-2-n)*a(n+3)+(5-2*n)*a(n+2)+(9+3*n)*a(n+1),a(0)=0,a(1)=2,a(2)=14} ogf] A268684 5.73182 [-(52864*f(x)+167481)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-6*x^2+f(x)-2*x) ogf] A268685 11.5030 [-(30*x^2+84*x+21)/(10*x^3+6*x^2-15*x-1) lgdogf] A268685 3.81590 [{(n+4)*a(n+4)+(24+15*n)*a(n+3)+(-96-6*n)*a(n+2)+(-40-10*n)*a(n+1),a(0)=6,a(1)=126,a(2)=630,a(3)=1950} ogf] A268685 9.79886 [-6*(10*x^2+16*x+1)/(x-1)^5 ogf] A268730 21.6644 [26/(-16*x+1) lgdegf] A268730 6.98852 [{(-16*n-42)*a(n+1)+a(n+2),a(0)=10,a(1)=260} ogf] A268735 5.46098 [(2*x^6-7*x^5+4*x^3+4*x^2+7*x+2)/(x^4-6*x^2-2*x+1)^2 ogf] A268741 10.8384 [-(-18*x^2-16*x-5)/(-18*x^3+x^2+13*x+4) lgdogf] A268741 16.3780 [-(9*x+4)/(2*x+1)/(x-1) ogf] A268741 8.47137 [(11*f(x)-19)*(2*f(x)*x^2-f(x)*x-f(x)+9*x+4) ogf] A268741 8.98791 [{a(n+2)+a(n+1)-2*a(n),a(0)=4,a(1)=5} ogf] A268742 6.82256 [-x*(2*x^7+18*x^6+11*x^5-x^4+10*x^3+18*x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A268744 4.83857 [(2892*f(x)-55)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x+4*x^2+f(x)+5*x-4) ogf] A268744 6.82239 [-(x^4+6*x^3+18*x^2+2*x-11)/(x^5+6*x^4+12*x^3+2*x^2-13*x+4) lgdogf] A268744 8.86025 [-(x^3+4*x^2+5*x-4)/(x^2+2*x-1)^2 ogf] A268745 4.78219 [-(x^7-x^6-6*x^5-13*x^4+37*x^3+41*x^2-4*x-7)/(x^4-6*x^2-2*x+1)^2 ogf] A268761 7.08154 [(x^3-8*x^2+7*x+2)/(2*x^3-3*x^2-2*x+1)^2 ogf] A268762 5.04458 [-(9*x^4+24*x^3+3*x^2-24*x-5)/(3*x^4+2*x^3-7*x^2-2*x+1)^2 ogf] A268768 4.28125 [-(4853*f(x)-32450)*(4*f(x)*x^4+4*f(x)*x^3-12*x^4-3*f(x)*x^2-12*x^3-2*f(x)*x+x^2+f(x)-6*x-3) ogf] A268768 7.77514 [(12*x^4+12*x^3-x^2+6*x+3)/(x+1)^2/(2*x-1)^2 ogf] A268769 4.86194 [2*(4*x^7+4*x^6-47*x^5+20*x^4+63*x^3-20*x^2-8*x+6)/(2*x^3-3*x^2-2*x+1)^2 ogf] A268770 3.26080 [2*(54*x^9+189*x^8-72*x^7-734*x^6-238*x^5+794*x^4+332*x^3-157*x^2-22*x+18)/(3*x^4+2*x^3-7*x^2-2*x+1)^2 ogf] A268775 4.75112 [(82458*f(x)-128675)*(4*f(x)*x^4+4*f(x)*x^3-3*f(x)*x^2+4*x^3-2*f(x)*x+8*x^2+f(x)-3*x-4) ogf] A268775 6.86796 [-(-8*x^4-28*x^3+6*x^2+19*x+11)/(-8*x^5-20*x^4+2*x^3+19*x^2+x-4) lgdogf] A268775 9.00862 [-(4*x^3+8*x^2-3*x-4)/(x+1)^2/(2*x-1)^2 ogf] A268776 6.03896 [-(4*x^5-8*x^4-12*x^3+27*x^2+2*x-7)/(2*x^3-3*x^2-2*x+1)^2 ogf] A268777 4.15484 [-(9*x^7+21*x^6-26*x^5-66*x^4+36*x^3+74*x^2-13*x-13)/(3*x^4+2*x^3-7*x^2-2*x+1)^2 ogf] A268783 7.78462 [(x^3+4*x^2+3*x+1)/(x^3+2*x^2+x-1)^2 ogf] A268784 4.37248 [-(4*x^6+10*x^5+8*x^4-9*x^3-20*x^2-13*x-2)/(x+1)^2/(x^4-x^3-3*x^2-2*x+1)^2 ogf] A268792 5.33144 [(3*x^6+8*x^5+12*x^4+18*x^3+25*x^2+16*x+3)/(x^3+2*x^2+x-1)^2 ogf] A268793 3.24805 [2*(5*x^11-42*x^9-46*x^8+88*x^7+212*x^6+102*x^5-98*x^4-112*x^3-8*x^2+27*x+6)/(x+1)^2/(x^4-x^3-3*x^2-2*x+1)^2 ogf] A268803 5.49459 [(3*x^6+6*x^5+2*x^4-2*x^3+9*x^2+16*x+9)/(x^3+2*x^2+x-1)^2 ogf] A268810 11.1596 [-(-3*x^4-4*x^3-5*x^2-2*x-4)/(-x^5-x^3+x^2+1) lgdogf] A268810 11.5730 [-2*x*(x^2+x+1)/(x^2+1)/(x-1)^3 ogf] A268810 28.2733 [x^3-x^2-x+4 ogf_with_Euler_transform] A268839 13.0235 [-(22*x-12)/(11*x^2-12*x+1) lgdogf] A268839 19.3492 [9/(11*x-1)/(x-1) ogf] A268839 7.44199 [(16105*f(x)+41679)*(11*f(x)*x^2-12*f(x)*x+f(x)-9) ogf] A268839 7.87466 [{-a(n+2)+12*a(n+1)-11*a(n),a(0)=9,a(1)=108} ogf] A268866 3.21636 [-(13*x^2-x-2)/(4*x+1)/(4*x-1)/(x-1) ogf] A268881 4.41273 [-(74*f(x)-1)*(9*f(x)*x^4-30*f(x)*x^3+31*f(x)*x^2+4*x^3-10*f(x)*x-6*x^2+f(x)+6*x-2) ogf] A268881 6.33510 [-(-6*x^4+8*x^3-21*x^2+21*x-7)/(-6*x^5+19*x^4-26*x^3+21*x^2-8*x+1) lgdogf] A268881 7.99806 [-2*(2*x-1)*(x^2-x+1)/(3*x^2-5*x+1)^2 ogf] A268882 4.37205 [(4*x^6-80*x^5+156*x^4-131*x^3+77*x^2-26*x+5)/(4*x^3-12*x^2+8*x-1)^2 ogf] A268883 3.32290 [2*(74*x^8-835*x^7+2649*x^6-3086*x^5+1962*x^4-836*x^3+246*x^2-51*x+5)/(x-1)^2/(5*x^3-24*x^2+12*x-1)^2 ogf] A268887 6.62399 [-(-4*x^4-26*x^3-66*x^2-66*x-14)/(-x^5-7*x^4-18*x^3-18*x^2-x+5) lgdogf] A268887 7.50719 [x*(x^2+4*x+5)/(x+1)^2/(x^2+2*x-1)^2 ogf] A268888 4.54106 [-x*(x-2)*(2*x^4+6*x^3+13*x^2+17*x+10)/(x+1)/(x^4-6*x^2-2*x+1)^2 ogf] A268896 7.88560 [-(5*x^5+x^4-3*x^3-5*x^2-3*x-1)/(x-1)/(2*x^3-1)/(x^2+x+1) ogf] A268898 12.6963 [-(16*x+12)/(16*x^2-1) lgdogf] A268898 12.6963 [3*(4*x+1)/(4*x-1)^2 ogf] A268898 6.63029 [(16*f(x)+195)*(16*f(x)*x^2-8*f(x)*x+f(x)-12*x-3) ogf] A268898 7.10388 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=3,a(1)=36} ogf] A268899 11.8355 [-(12*x+14)/(12*x^2+4*x-1) lgdogf] A268899 12.3186 [12*(2*x+1)/(6*x-1)^2 ogf] A268899 6.49043 [(54*f(x)+1753)*(36*f(x)*x^2-12*f(x)*x+f(x)-24*x-12) ogf] A268899 6.93805 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=12,a(1)=168} ogf] A268900 4.63779 [{-a(n+3)+18*a(n+2)-81*a(n+1),a(0)=36,a(1)=696,a(2)=9720} ogf] A268900 5.00153 [(12*f(x)+409)*(81*f(x)*x^2-18*f(x)*x-108*x^2+f(x)-48*x-36) ogf] A268900 8.36323 [-(54*x+58)/(81*x^3+27*x^2+23*x-3) lgdogf] A268900 8.64673 [12*(9*x^2+4*x+3)/(9*x-1)^2 ogf] A268901 3.08784 [(54379396*f(x)-40363165)*(324*f(x)*x^4-540*f(x)*x^3+261*f(x)*x^2+432*x^3-30*f(x)*x-72*x^2+f(x)+216*x-96) ogf] A268901 5.62672 [-24*(18*x^3-3*x^2+9*x-4)/(18*x^2-15*x+1)^2 ogf] A268902 3.92200 [24*(1701*x^5-1485*x^4+93*x^3+262*x^2-95*x+10)/(81*x^3-90*x^2+25*x-1)^2 ogf] A268905 10.3994 [-(-10*x+14)/(3*x^3-13*x^2+13*x-3) lgdogf] A268905 10.3994 [12*x*(x-1)*(x-3)/(3*x-1)^2 ogf] A268905 5.28782 [{-a(n+4)+6*a(n+3)-9*a(n+2),a(0)=0,a(1)=36,a(2)=168,a(3)=696} ogf] A268905 5.83143 [-(74*f(x)+473)*(9*f(x)*x^2-12*x^3-6*f(x)*x+48*x^2+f(x)-36*x) ogf] A268906 5.31715 [24*x*(37*x^4-47*x^3+35*x^2-34*x+10)/(2*x^2-5*x+1)^2 ogf] A268936 5.47348 [-x^3*(3*x^6-20*x^5+57*x^4-91*x^3+116*x^2+105*x+10)/(x-1)^7 ogf] A268938 11.9842 [-3*(2*x^2-1)/(2*x-1)/(3*x^2+x-1) ogf] A268938 6.04514 [{a(n+3)-3*a(n+2)-a(n+1)+6*a(n),a(0)=3,a(1)=9,a(2)=24} ogf] A268938 6.21002 [(71*f(x)-102)*(6*f(x)*x^3-f(x)*x^2-3*f(x)*x+6*x^2+f(x)-3) ogf] A268938 7.42501 [-(-12*x^4+12*x^2+2*x-3)/(-12*x^5+2*x^4+12*x^3-3*x^2-3*x+1) lgdogf] A268939 10.2404 [-4*(3*x^2+x-1)/(3*x-1)/(4*x^2+2*x-1) ogf] A268939 5.33178 [-(397*f(x)-378)*(12*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+12*x^2+f(x)+4*x-4) ogf] A268939 5.60995 [{a(n+3)-5*a(n+2)+2*a(n+1)+12*a(n),a(0)=4,a(1)=16,a(2)=60} ogf] A268940 5.08526 [-(4327*f(x)-3980)*(20*f(x)*x^3+7*f(x)*x^2-7*f(x)*x+20*x^2+f(x)+10*x-5) ogf] A268940 5.43597 [{a(n+3)-7*a(n+2)+7*a(n+1)+20*a(n),a(0)=5,a(1)=25,a(2)=120} ogf] A268940 9.85269 [-5*(4*x^2+2*x-1)/(4*x-1)/(5*x^2+3*x-1) ogf] A268941 4.57748 [-(8107*f(x)-7545)*(30*f(x)*x^3+14*f(x)*x^2-9*f(x)*x+30*x^2+f(x)+18*x-6) ogf] A268941 4.89046 [{a(n+3)-9*a(n+2)+14*a(n+1)+30*a(n),a(0)=6,a(1)=36,a(2)=210} ogf] A268941 8.80283 [-6*(5*x^2+3*x-1)/(5*x-1)/(6*x^2+4*x-1) ogf] A268942 4.82126 [-(47903*f(x)-45234)*(42*f(x)*x^3+23*f(x)*x^2-11*f(x)*x+42*x^2+f(x)+28*x-7) ogf] A268942 5.22983 [{a(n+3)-11*a(n+2)+23*a(n+1)+42*a(n),a(0)=7,a(1)=49,a(2)=336} ogf] A268942 9.35030 [-7*(6*x^2+4*x-1)/(6*x-1)/(7*x^2+5*x-1) ogf] A268943 4.57768 [-(59993*f(x)-57316)*(56*f(x)*x^3+34*f(x)*x^2-13*f(x)*x+56*x^2+f(x)+40*x-8) ogf] A268943 4.96563 [{a(n+3)-13*a(n+2)+34*a(n+1)+56*a(n),a(0)=8,a(1)=64,a(2)=504} ogf] A268943 8.87794 [-8*(7*x^2+5*x-1)/(7*x-1)/(8*x^2+6*x-1) ogf] A268945 7.42558 [-(x^4-5*x^3+5*x^2+13*x+10)/(x-1)^5 ogf] A268945 7.82914 [-(-x^4+6*x^3-62*x-63)/(-x^5+6*x^4-10*x^3-8*x^2+3*x+10) lgdogf] A268946 6.09042 [(x^5-6*x^4-8*x^3+44*x^2+75*x+14)/(x-1)^6 ogf] A268947 4.99417 [-2*(x^6-7*x^5-19*x^4+18*x^3+235*x^2+121*x+11)/(x-1)^7 ogf] A268948 3.91936 [3*(x^7-8*x^6-55*x^5-110*x^4+675*x^3+924*x^2+243*x+10)/(x-1)^8 ogf] A268965 11.5340 [-(-16*x+20)/(-16*x^2+16*x-3) lgdogf] A268965 12.7611 [-3*(4*x-3)/(4*x-1)^2 ogf] A268965 6.66412 [(24*f(x)+409)*(16*f(x)*x^2-8*f(x)*x+f(x)+12*x-9) ogf] A268965 7.14012 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=9,a(1)=60} ogf] A268966 11.8932 [-(-12*x+10)/(-12*x^2+8*x-1) lgdogf] A268966 12.3787 [-24*(2*x-1)/(6*x-1)^2 ogf] A268966 6.66543 [(9*f(x)+409)*(36*f(x)*x^2-12*f(x)*x+f(x)+48*x-24) ogf] A268966 6.97190 [{-a(n+2)+12*a(n+1)-36*a(n),a(0)=24,a(1)=240} ogf] A268967 4.62098 [{-a(n+3)+18*a(n+2)-81*a(n+1),a(0)=60,a(1)=912,a(2)=11664} ogf] A268967 5.02871 [(3*f(x)+181)*(81*f(x)*x^2-18*f(x)*x-108*x^2+f(x)+168*x-60) ogf] A268967 8.14173 [-(-108*x+76)/(81*x^3-135*x^2+59*x-5) lgdogf] A268967 8.54882 [12*(9*x-5)*(x-1)/(9*x-1)^2 ogf] A268968 2.97727 [-(4556663*f(x)+1390135)*(324*f(x)*x^4-540*f(x)*x^3+261*f(x)*x^2+1728*x^3-30*f(x)*x-2016*x^2+f(x)+1008*x-144) ogf] A268968 5.35908 [-144*(12*x^3-14*x^2+7*x-1)/(18*x^2-15*x+1)^2 ogf] A268969 3.39824 [24*(243*x^5+1674*x^4-2391*x^3+1115*x^2-214*x+14)/(81*x^3-90*x^2+25*x-1)^2 ogf] A268972 10.0037 [3*(x-3)*(4*x^2-x-1)/(3*x-1)^2 ogf] A268972 5.29608 [{a(n+4)-6*a(n+3)+9*a(n+2),a(0)=9,a(1)=60,a(2)=240,a(3)=912} ogf] A268972 6.00223 [(11*f(x)+51)*(9*f(x)*x^2-12*x^3-6*f(x)*x+39*x^2+f(x)-6*x-9) ogf] A268972 7.24406 [-(12*x^3-12*x^2+20*x-20)/(-12*x^4+43*x^3-19*x^2-7*x+3) lgdogf] A268973 5.24999 [3*(280*x^5-332*x^4+236*x^3-187*x^2+22*x+9)/(2*x^2-5*x+1)^2 ogf] A268989 4.29183 [-(866*f(x)+291)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x-7*x^2+f(x)+11*x-4) ogf] A268989 7.98608 [-(x^3-7*x^2+11*x-4)/(x^2-3*x+1)^2 ogf] A268990 4.43405 [(8*f(x)+559)*(9*f(x)*x^4-30*f(x)*x^3+31*f(x)*x^2+16*x^3-10*f(x)*x-41*x^2+f(x)+35*x-7) ogf] A268990 7.74622 [-(16*x^3-41*x^2+35*x-7)/(3*x^2-5*x+1)^2 ogf] A268991 4.30841 [(4*x^6-112*x^5+312*x^4-407*x^3+301*x^2-105*x+13)/(4*x^3-12*x^2+8*x-1)^2 ogf] A268992 3.30252 [(168*x^8-1951*x^7+6644*x^6-9078*x^5+7607*x^4-4483*x^3+1646*x^2-320*x+23)/(x-1)^2/(5*x^3-24*x^2+12*x-1)^2 ogf] A268996 6.20912 [-(x^5+7*x^4+16*x^3+11*x^2-5*x-4)/(x+1)^2/(x^2+2*x-1)^2 ogf] A268997 3.64301 [-(x^8+2*x^7-9*x^6-25*x^5+20*x^4+81*x^3+45*x^2-17*x-8)/(x+1)/(x^4-6*x^2-2*x+1)^2 ogf] A269006 5.47957 [2*(3*x-1)*(x-1)*(3*x^2-2*x+1)/(3*x^3+3*x^2-5*x+1)^2 ogf] A269007 4.68083 [(4*x^6+16*x^5+60*x^4-124*x^3+73*x^2-24*x+5)/(8*x^3+2*x^2-6*x+1)^2 ogf] A269012 12.9516 [4*x/(3*x^2+x-1)^2 ogf] A269012 14.0088 [-(-12*x-2)/(-3*x^2-x+1) lgdogf] A269012 4.57622 [{(-2-n)*a(n+3)+(n+3)*a(n+2)+(12+3*n)*a(n+1),a(0)=0,a(1)=4,a(2)=8} ogf] A269012 5.58077 [-(29*f(x)-44)*(9*f(x)*x^4+6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+f(x)-4*x) ogf] A269013 6.60103 [x*(x^2-14*x+15)/(5*x^3-6*x^2-2*x+1)^2 ogf] A269014 4.44751 [-8*x*(12*x^3+13*x^2-4*x-6)/(18*x^4+7*x^3-16*x^2-2*x+1)^2 ogf] A269019 12.9493 [(5*x^2-5*x+2)/(x-1)/(2*x-1)/(x+1) ogf] A269019 6.75132 [-(66*f(x)+13)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-5*x^2+f(x)+5*x-2) ogf] A269019 7.05272 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=2,a(1)=-1,a(2)=5} ogf] A269019 7.66898 [-(-10*x^4+20*x^3-27*x^2+14*x-1)/(-10*x^5+15*x^4+x^3-13*x^2+9*x-2) lgdogf] A269025 12.6074 [-(120*x-61)/(60*x^2-61*x+1) lgdogf] A269025 19.0913 [1/(60*x-1)/(x-1) ogf] A269025 7.59311 [(3601*f(x)+120)*(60*f(x)*x^2-61*f(x)*x+f(x)-1) ogf] A269025 7.86111 [{-a(n+2)+61*a(n+1)-60*a(n),a(0)=1,a(1)=61} ogf] A269028 13.3824 [-(39*x-1)/(x^2-40*x+1) ogf] A269028 6.48426 [-(1520*f(x)-1519)*(f(x)*x^2-40*f(x)*x+f(x)+39*x-1) ogf] A269028 7.57799 [{a(n+2)-40*a(n+1)+a(n),a(0)=1,a(1)=1} ogf] A269028 8.98533 [-(-39*x^2+2*x-1)/(-39*x^3+1561*x^2-79*x+1) lgdogf] A269030 3.38342 [-(78901*f(x)-13678764)*(4*f(x)*x^4-20*f(x)*x^3-48*x^4+29*f(x)*x^2+192*x^3-10*f(x)*x-216*x^2+f(x)+72*x-12) ogf] A269030 6.05453 [12*(4*x^4-16*x^3+18*x^2-6*x+1)/(2*x^2-5*x+1)^2 ogf] A269031 3.37417 [(464531629632364+440819624061*f(x))*(16*f(x)*x^4-56*f(x)*x^3-630*x^4+57*f(x)*x^2+1644*x^3-14*f(x)*x-1194*x^2+f(x)+288*x-36) ogf] A269031 6.24221 [6*(105*x^4-274*x^3+199*x^2-48*x+6)/(4*x^2-7*x+1)^2 ogf] A269036 11.7834 [-(4*x^2-8*x-2)/(2*x^3-3*x+1) lgdogf] A269036 3.60585 [{(n+3)*a(n+4)+(-8-3*n)*a(n+3)-8*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=24,a(2)=48,a(3)=216} ogf] A269036 5.36479 [-(f(x)-13)*(4*f(x)*x^4+8*f(x)*x^3-24*x^3-4*f(x)*x+48*x^2+f(x)-24*x) ogf] A269036 9.70397 [24*x*(x-1)^2/(2*x^2+2*x-1)^2 ogf] A269037 4.45318 [6*x*(4*x^6-16*x^5-3*x^4+40*x^3+33*x^2-62*x+20)/(2*x^3-4*x^2-3*x+1)^2 ogf] A269044 10.1995 [(13*f(x)+109)*(f(x)*x^2-2*f(x)*x+f(x)-6*x-7) ogf] A269044 10.8139 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7,a(1)=20} ogf] A269044 18.3175 [-(6*x+20)/(6*x^2+x-7) lgdogf] A269044 19.9457 [(6*x+7)/(x-1)^2 ogf] A269047 3.37891 [-(366082*f(x)-59082999)*(4*f(x)*x^4-20*f(x)*x^3-48*x^4+29*f(x)*x^2+204*x^3-10*f(x)*x-270*x^2+f(x)+138*x-24) ogf] A269047 6.05388 [6*(2*x-1)*(x-1)*(4*x^2-11*x+4)/(2*x^2-5*x+1)^2 ogf] A269048 3.37417 [(556613116368717+613922490442*f(x))*(16*f(x)*x^4-56*f(x)*x^3-630*x^4+57*f(x)*x^2+1740*x^3-14*f(x)*x-1458*x^2+f(x)+480*x-60) ogf] A269048 6.24221 [6*(105*x^4-290*x^3+243*x^2-80*x+10)/(4*x^2-7*x+1)^2 ogf] A269053 5.38196 [(68*f(x)-1175)*(4*f(x)*x^4+8*f(x)*x^3-24*x^3-4*f(x)*x+66*x^2+f(x)-6*x-9) ogf] A269053 9.47530 [3*(8*x^3-22*x^2+2*x+3)/(2*x^2+2*x-1)^2 ogf] A269054 4.40251 [3*(8*x^7-24*x^6-38*x^5+82*x^4+148*x^3-141*x^2+4*x+9)/(2*x^3-4*x^2-3*x+1)^2 ogf] A269059 11.0442 [(2*x^2-1)^2/(2*x-1)^2/(x-1)^2 ogf] A269059 12.5502 [-(-12*x^2+16*x-6)/(-4*x^4+6*x^3-3*x+1) lgdogf] A269059 6.09052 [(5*f(x)+68)*(4*f(x)*x^4-12*f(x)*x^3-4*x^4+13*f(x)*x^2-6*f(x)*x+4*x^2+f(x)-1) ogf] A269064 7.81580 [x*(x^6+5*x^5+2*x^4+8*x^3+2*x^2+2*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A269070 5.31025 [-(9*x^5+9*x^4+24*x^3-70*x^2+43*x-7)/(3*x^3+3*x^2-5*x+1)^2 ogf] A269071 4.69098 [(4*x^6-48*x^5-20*x^4-28*x^3+129*x^2-80*x+13)/(8*x^3+2*x^2-6*x+1)^2 ogf] A269076 4.99831 [(118*f(x)-423)*(9*f(x)*x^4+6*f(x)*x^3-5*f(x)*x^2+9*x^3-2*f(x)*x+15*x^2+f(x)-3*x-4) ogf] A269076 7.47115 [-(-27*x^4-81*x^3+21*x+11)/(-27*x^5-54*x^4+3*x^3+30*x^2+x-4) lgdogf] A269076 9.09947 [-(9*x^3+15*x^2-3*x-4)/(3*x^2+x-1)^2 ogf] A269077 5.63278 [-(25*x^5-35*x^4-45*x^3+69*x^2-8)/(5*x^3-6*x^2-2*x+1)^2 ogf] A269078 3.55183 [-(324*x^7+576*x^6-275*x^5-691*x^4+104*x^3+267*x^2-25*x-16)/(18*x^4+7*x^3-16*x^2-2*x+1)^2 ogf] A269083 6.29755 [-(x^5+5*x^4+9*x^3+4*x^2-3*x-4)/(x^3+2*x^2+x-1)^2 ogf] A269084 3.74102 [-(x^9+x^8-8*x^7-13*x^6+15*x^5+60*x^4+56*x^3+9*x^2-16*x-7)/(x+1)^2/(x^4-x^3-3*x^2-2*x+1)^2 ogf] A269091 10.4802 [-(72*x+24)/(7*x^3+69*x^2-3*x-1) lgdogf] A269091 11.0416 [4*(x^2+10*x+1)/(7*x-1)^2 ogf] A269091 5.72530 [{-a(n+3)+14*a(n+2)-49*a(n+1),a(0)=4,a(1)=96,a(2)=1152} ogf] A269091 6.18332 [(95*f(x)+1972)*(49*f(x)*x^2-14*f(x)*x-4*x^2+f(x)-40*x-4) ogf] A269092 2.67984 [-(-93237539145006+23658168117317*f(x))*(729*f(x)*x^4-972*f(x)*x^3-216*x^4+378*f(x)*x^2-792*x^3-36*f(x)*x+1104*x^2+f(x)-288*x-24) ogf] A269092 5.04441 [24*(9*x^4+33*x^3-46*x^2+12*x+1)/(27*x^2-18*x+1)^2 ogf] A269093 3.18467 [12*(7371*x^6-1070*x^5-16701*x^4+13928*x^3-3039*x^2+142*x+9)/(263*x^3-267*x^2+45*x-1)^2 ogf] A269098 11.1165 [(x+1)*(x^4-x^3+2*x^2+x+1)/(x^2+x+1)^2/(x-1)^2 ogf] A269100 10.1758 [(13*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-11) ogf] A269100 10.7815 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=24} ogf] A269100 18.1129 [-(2*x+24)/(2*x^2+9*x-11) lgdogf] A269100 19.6879 [(2*x+11)/(x-1)^2 ogf] A269103 10.5018 [-(-75*x+45)/(7*x^3-78*x^2+39*x-4) lgdogf] A269103 11.0546 [4*(x^2-11*x+4)/(7*x-1)^2 ogf] A269103 5.72827 [{-a(n+3)+14*a(n+2)-49*a(n+1),a(0)=16,a(1)=180,a(2)=1740} ogf] A269103 6.17755 [(260*f(x)+7747)*(49*f(x)*x^2-14*f(x)*x-4*x^2+f(x)+44*x-16) ogf] A269104 2.69387 [-(75305244951851*f(x)+10636319596412)*(729*f(x)*x^4-972*f(x)*x^3-216*x^4+378*f(x)*x^2+828*x^3-36*f(x)*x-948*x^2+f(x)+420*x-60) ogf] A269104 5.09436 [12*(18*x^4-69*x^3+79*x^2-35*x+5)/(27*x^2-18*x+1)^2 ogf] A269105 3.18467 [12*(7371*x^6-17639*x^5+16426*x^4-7828*x^3+2217*x^2-325*x+18)/(263*x^3-267*x^2+45*x-1)^2 ogf] A269112 9.38566 [-(3*x^4-4*x^3+8*x^2-4*x+3)/(x^2+1)/(x-1)^3 ogf] A269132 8.63435 [x*(x+1)*(x^4-2*x^3+x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A269137 3.68055 [(116333*f(x)+168880)*(f(x)*x^4-12*f(x)*x^3-4*x^4+38*f(x)*x^2+4*x^3-12*f(x)*x+4*x^2+f(x)+44*x-16) ogf] A269137 6.54320 [4*(x^4-x^3-x^2-11*x+4)/(x^2-6*x+1)^2 ogf] A269146 3.8474 [(21351*f(x)+28106)*(f(x)*x^4-12*f(x)*x^3-4*x^4+38*f(x)*x^2-12*f(x)*x+40*x^2+f(x)-32*x-4) ogf] A269146 7.03793 [4*(x-1)*(x^3+x^2-9*x-1)/(x^2-6*x+1)^2 ogf] A269180 3.34139 [{(-2*n^2-6*n)*a(n)+(-5*n^2-10*n+16)*a(n+1)+(n^2+n-2)*a(n+2),a(0)=4,a(1)=48,a(2)=384,a(3)=2736} ogf] A269180 3.97473 [(61*f(x)+52)*(4*f(x)*x^4+20*f(x)*x^3-16*x^4+21*f(x)*x^2+16*x^3-10*f(x)*x+12*x^2+f(x)-8*x-4) ogf] A269180 6.68278 [4*(2*x+1)^2*(x-1)^2/(2*x^2+5*x-1)^2 ogf] A269180 8.68761 [-(24*x^2+12)/(-4*x^4-8*x^3+9*x^2+4*x-1) lgdogf] A269188 3.58618 [(98+267*f(x))*(4*f(x)*x^4+20*f(x)*x^3-16*x^4+21*f(x)*x^2+16*x^3-10*f(x)*x+36*x^2+f(x)+52*x-16) ogf] A269188 6.01553 [4*(4*x^4-4*x^3-9*x^2-13*x+4)/(2*x^2+5*x-1)^2 ogf] A269196 2.83185 [(1446479*f(x)+38597104)*(36*f(x)*x^4-180*f(x)*x^3-864*x^4+237*f(x)*x^2+2160*x^3-30*f(x)*x-1272*x^2+f(x)+516*x-60) ogf] A269196 4.85856 [12*(6*x-1)*(12*x^3-28*x^2+13*x-5)/(6*x^2-15*x+1)^2 ogf] A269197 3.95859 [12*(897*x^6-4951*x^5+10756*x^4-8158*x^3+2265*x^2-315*x+18)/(x-1)^2/(5*x^2-30*x+1)^2 ogf] A269202 3.72222 [(1695728*f(x)-16802797)*(36*f(x)*x^4+60*f(x)*x^3+13*f(x)*x^2-72*x^3-10*f(x)*x+308*x^2+f(x)-20*x-16) ogf] A269202 6.88177 [4*(18*x^3-77*x^2+5*x+4)/(x+1)^2/(6*x-1)^2 ogf] A269209 2.78498 [(2142793712+75154235*f(x))*(36*f(x)*x^4-180*f(x)*x^3-864*x^4+237*f(x)*x^2+2016*x^3-30*f(x)*x-696*x^2+f(x)-48*x-24) ogf] A269209 4.90157 [24*(36*x^4-84*x^3+29*x^2+2*x+1)/(6*x^2-15*x+1)^2 ogf] A269210 3.98881 [12*(897*x^6-4926*x^5+10471*x^4-7188*x^3+1263*x^2-14*x+9)/(x-1)^2/(5*x^2-30*x+1)^2 ogf] A269215 3.89939 [(3689*f(x)-35744)*(36*f(x)*x^4+60*f(x)*x^3+13*f(x)*x^2-96*x^3-10*f(x)*x+192*x^2+f(x)-96*x) ogf] A269215 7.12481 [96*x*(x-1)^2/(x+1)^2/(6*x-1)^2 ogf] A269215 8.74409 [-(12*x^2-24*x-8)/(6*x^3-x^2-6*x+1) lgdogf] A269222 14.0604 [-(9*x^3+8*x^2+9*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A269222 9.21199 [(98*f(x)+3245)*(f(x)*x^4+9*x^3+8*x^2-f(x)+9*x+1) ogf] A269226 10.4712 [-3*(x^4+2*x^3+2*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A269232 11.5140 [-(x^2-17*x-2)/(x-1)^4 ogf] A269232 11.8527 [-(-2*x^2+49*x+25)/(-x^3+18*x^2-15*x-2) lgdogf] A269232 3.95090 [{(-2*n-8)*a(n+4)+(-20-15*n)*a(n+3)+(85+18*n)*a(n+2)+(-3-n)*a(n+1),a(0)=2,a(1)=25,a(2)=87,a(3)=206} ogf] A269232 5.63625 [(1000800*f(x)+12688399)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-17*x-2) ogf] A269237 10.9343 [-(2*x^3+90*x^2+174*x+34)/(x^4+28*x^3-28*x-1) lgdogf] A269237 4.51258 [{(-13*n^2-88*n-147)*a(n+1)+(26*n^2+156*n+310)*a(n+2)+(-13*n^2-68*n-87)*a(n+3),a(0)=1,a(1)=34,a(2)=189} ogf] A269237 9.58290 [-(x+1)*(x^2+28*x+1)/(x-1)^5 ogf] A269255 10.6756 [-(42*x^2-8*x-1)/(x-1)/(3*x-1)/(12*x-1)/(4*x-1) ogf] A269255 5.48014 [(4411737*f(x)+80767894)*(144*f(x)*x^4-240*f(x)*x^3+115*f(x)*x^2-20*f(x)*x+42*x^2+f(x)-8*x-1) ogf] A269266 12.0514 [-(16*x^4+8*x^3+4*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A269266 9.46899 [f(x)*(f(x)*x^5+16*x^4+8*x^3+4*x^2-f(x)+2*x+1) ogf] A269270 11.1558 [4*(9*x+1)/(9*x-1)^2 ogf] A269270 11.3931 [-(81*x+27)/(81*x^2-1) lgdogf] A269270 6.0166 [(4*f(x)+65)*(81*f(x)*x^2-18*f(x)*x+f(x)-36*x-4) ogf] A269270 6.22648 [{-a(n+2)+18*a(n+1)-81*a(n),a(0)=4,a(1)=108} ogf] A269271 10.2191 [-(315*x+57)/(315*x^2+6*x-1) lgdogf] A269271 10.6198 [24*(15*x+1)/(21*x-1)^2 ogf] A269271 5.82376 [(7*f(x)+193)*(441*f(x)*x^2-42*f(x)*x+f(x)-360*x-24) ogf] A269271 6.08551 [{-a(n+2)+42*a(n+1)-441*a(n),a(0)=24,a(1)=1368} ogf] A269272 4.19521 [{-a(n+3)+98*a(n+2)-2401*a(n+1),a(0)=108,a(1)=13896,a(2)=1104264} ogf] A269272 4.45978 [(490*f(x)+58827)*(2401*f(x)*x^2-98*f(x)*x-1764*x^2+f(x)-3312*x-108) ogf] A269272 7.27993 [-(4606*x+386)/(2401*x^3+4459*x^2+55*x-3) lgdogf] A269272 7.61592 [36*(49*x^2+92*x+3)/(49*x-1)^2 ogf] A269273 3.89093 [72*(1302*x^3-1677*x^2+367*x+6)/(294*x^2-117*x+1)^2 ogf] A269277 10.4037 [-(-26*x+38)/(7*x^3-29*x^2+25*x-3) lgdogf] A269277 5.03404 [{-a(n+4)+14*a(n+3)-49*a(n+2),a(0)=0,a(1)=108,a(2)=1368,a(3)=13896} ogf] A269277 5.62361 [(6295*f(x)+21021)*(49*f(x)*x^2-36*x^3-14*f(x)*x+144*x^2+f(x)-108*x) ogf] A269277 9.75345 [36*x*(x-1)*(x-3)/(7*x-1)^2 ogf] A269278 4.07274 [-36*x*(756*x^5-2061*x^4+1698*x^3-812*x^2+318*x-45)/(27*x^2-18*x+1)^2 ogf] A269284 10.6729 [-12*(33*x-5)/(21*x-1)^2 ogf] A269284 5.72966 [(28*f(x)+1801)*(441*f(x)*x^2-42*f(x)*x+f(x)+396*x-60) ogf] A269284 6.11593 [{-a(n+2)+42*a(n+1)-441*a(n),a(0)=60,a(1)=2124} ogf] A269284 9.71996 [-(-693*x+177)/(-693*x^2+138*x-5) lgdogf] A269285 4.19521 [{-a(n+3)+98*a(n+2)-2401*a(n+1),a(0)=216,a(1)=19188,a(2)=1363572} ogf] A269285 4.38084 [(1960*f(x)+428907)*(2401*f(x)*x^2-98*f(x)*x-1764*x^2+f(x)+1980*x-216) ogf] A269285 7.17442 [-(-2597*x+533)/(2401*x^3-2744*x^2+349*x-6) lgdogf] A269285 7.61592 [36*(49*x-6)*(x-1)/(49*x-1)^2 ogf] A269286 3.89093 [-252*(636*x^3-300*x^2+49*x-3)/(294*x^2-117*x+1)^2 ogf] A269290 5.02425 [{a(n+4)-14*a(n+3)+49*a(n+2),a(0)=16,a(1)=216,a(2)=2124,a(3)=19188} ogf] A269290 5.23185 [-(352460*f(x)+968407)*(49*f(x)*x^2-36*x^3-14*f(x)*x+116*x^2+f(x)+8*x-16) ogf] A269290 7.11298 [-(63*x^3-27*x^2+72*x-54)/(-63*x^4+212*x^3-15*x^2-30*x+4) lgdogf] A269290 9.44858 [4*(9*x^3-29*x^2-2*x+4)/(7*x-1)^2 ogf] A269291 4.04125 [-4*(6804*x^6-17091*x^5+13581*x^4-5553*x^3+1593*x^2-72*x-16)/(27*x^2-18*x+1)^2 ogf] A269328 7.22272 [-(2*x^13+x^8-5*x^7+2*x^6+5*x^5-6*x^4-3*x^3-2*x-5)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A269342 11.4094 [-(x^2-14*x-3)/(x-1)^4 ogf] A269342 11.7449 [-(-2*x^2+40*x+26)/(-x^3+15*x^2-11*x-3) lgdogf] A269342 3.91498 [{(-3*n-12)*a(n+4)+(-7-11*n)*a(n+3)+(70+15*n)*a(n+2)+(-3-n)*a(n+1),a(0)=3,a(1)=26,a(2)=85,a(3)=196} ogf] A269342 5.82961 [(5408*f(x)+62581)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+x^2+f(x)-14*x-3) ogf] A269352 12.8450 [-(x^10+9*x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A269403 9.63561 [-x*(x^3+2*x^2-x+2)/(x+1)/(x^2+1)/(x-1)^3 ogf] A269410 10.8604 [-(3*x^2-22*x-21)/(x^3-7*x^2+3*x+3) lgdogf] A269410 3.51365 [{(-3*n-12)*a(n+4)+(12-3*n)*a(n+3)+(36+7*n)*a(n+2)+(-4-n)*a(n+1),a(0)=9,a(1)=63,a(2)=222,a(3)=570} ogf] A269410 8.95981 [3*(x^2-6*x-3)/(x-1)^5 ogf] A269411 7.07473 [-3*(3*x^3-10*x^2-29*x-4)/(x-1)^6 ogf] A269411 8.05055 [-(-9*x^3+31*x^2+165*x+53)/(-3*x^4+13*x^3+19*x^2-25*x-4) lgdogf] A269412 5.70168 [2*(9*x^4+5*x^3-225*x^2-141*x-8)/(x-1)^7 ogf] A269413 4.46035 [-(27*x^5+296*x^4-1510*x^3-3036*x^2-797*x-20)/(x-1)^8 ogf] A269416 11.8488 [-(2*x^2-7*x+3)/(x^3-2*x^2-x+2) lgdogf] A269416 14.3080 [3*(x-2)/(x-1)/(x+1)^2 ogf] A269416 6.71084 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=6,a(1)=-9,a(2)=15} ogf] A269416 7.02153 [-(f(x)+64)*(f(x)*x^3+f(x)*x^2-f(x)*x-f(x)-3*x+6) ogf] A269428 10.0215 [-x*(4*x-1)/(x-1)/(x+1)^4 ogf] A269428 11.0844 [-(16*x^2-17*x+7)/(4*x^3-x^2-4*x+1) lgdogf] A269429 10.1742 [-x*(5*x-1)/(x-1)/(x+1)^4 ogf] A269429 11.2532 [-(20*x^2-20*x+8)/(5*x^3-x^2-5*x+1) lgdogf] A269429 3.75108 [{(n+3)*a(n+4)+(-2-5*n)*a(n+3)+(-21-n)*a(n+2)+(20+5*n)*a(n+1),a(0)=0,a(1)=-1,a(2)=8,a(3)=-22} ogf] A269431 3.15165 [-(x^9+20*x^8+155*x^7+560*x^6+810*x^5+120*x^4-810*x^3+400*x^2-75*x+5)/(x^2+4*x-1)^5 ogf] A269436 7.06158 [-(-x^4+6*x^3-15*x^2-32*x-78)/(-x^5+6*x^4-15*x^3+7*x^2-12*x+15) lgdogf] A269436 7.42558 [-(x^4-5*x^3+10*x^2+3*x+15)/(x-1)^5 ogf] A269437 6.03791 [-(x^5-6*x^4+19*x^3-52*x^2-54*x-28)/(x-1)^6 ogf] A269438 5.06816 [-(x^6-7*x^5+5*x^4+14*x^3+391*x^2+265*x+51)/(x-1)^7 ogf] A269439 4.08015 [-(x^7-8*x^6+76*x^5-8*x^4-1355*x^3-2668*x^2-986*x-92)/(x-1)^8 ogf] A269440 10.2759 [-x*(6*x-1)/(x-1)/(x+1)^4 ogf] A269440 11.3658 [-(24*x^2-23*x+9)/(6*x^3-x^2-6*x+1) lgdogf] A269440 3.78859 [{(n+3)*a(n+4)+(-3-6*n)*a(n+3)+(-24-n)*a(n+2)+(24+6*n)*a(n+1),a(0)=0,a(1)=-1,a(2)=9,a(3)=-25} ogf] A269441 10.4285 [-x*(7*x-1)/(x-1)/(x+1)^4 ogf] A269441 11.3624 [-(28*x^2-26*x+10)/(7*x^3-x^2-7*x+1) lgdogf] A269441 3.82554 [{(n+3)*a(n+4)+(-4-7*n)*a(n+3)+(-27-n)*a(n+2)+(28+7*n)*a(n+1),a(0)=0,a(1)=-1,a(2)=10,a(3)=-28} ogf] A269445 14.6056 [-x^13/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A269447 7.00240 [(29*x^4+10*x^3-528*x^2-10*x-7)/(x-1)/(x^4-48*x^2+1) ogf] A269448 5.65002 [(11*x^6+3*x^5+36*x^4-846*x^3-153*x^2-276*x-25)/(x-1)/(x^6-102*x^3+1) ogf] A269449 4.52308 [(4*x^12+11*x^11+2*x^10+11*x^9+11*x^8+20*x^7-151*x^6-385*x^5-46*x^4-121*x^3-33*x^2-20*x-7)/(x-1)/(x^12-46*x^6+1) ogf] A269450 4.52336 [{(n+2)*a(n+1)-a(n+2)+(n+3)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A269451 4.73850 [(x^12+7*x^11+4*x^10+5*x^9+4*x^8+7*x^7-2*x^6-37*x^5-20*x^4-23*x^3-16*x^2-21*x-7)/(x-1)/(x^6+2*x^3-1)/(x^6-2*x^3-1) ogf] A269457 14.9601 [5*(x-2)/(x-1)^3 ogf] A269457 16.8301 [-(-2*x+5)/(-x^2+3*x-2) lgdogf] A269457 7.02472 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=10,a(1)=25,a(2)=45} ogf] A269457 7.54994 [(19*f(x)-300)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-5*x+10) ogf] A269461 11.7956 [-3*(3*x^2-1)/(2*x-1)/(4*x^2+x-1) ogf] A269461 5.95001 [{a(n+3)-3*a(n+2)-2*a(n+1)+8*a(n),a(0)=3,a(1)=9,a(2)=24} ogf] A269461 6.00313 [-(2*f(x)+63)*(8*f(x)*x^3-2*f(x)*x^2-3*f(x)*x+9*x^2+f(x)-3) ogf] A269461 7.30816 [-(-24*x^4+15*x^2+2*x-3)/(-24*x^5+6*x^4+17*x^3-5*x^2-3*x+1) lgdogf] A269462 12.1922 [-4*(5*x^2+x-1)/(3*x-1)/(6*x^2+2*x-1) ogf] A269462 6.91308 [{a(n+3)-5*a(n+2)+18*a(n),a(0)=4,a(1)=16,a(2)=60} ogf] A269462 7.05862 [-(-90*x^4-36*x^3+29*x^2+10*x-4)/(-90*x^5-18*x^4+43*x^3-6*x+1) lgdogf] A269462 9.18588 [-18*f(x)*x^3+5*f(x)*x-20*x^2-f(x)-4*x+4 ogf] A269463 10.0459 [-5*(7*x^2+2*x-1)/(4*x-1)/(8*x^2+3*x-1) ogf] A269463 5.54255 [{a(n+3)-7*a(n+2)+4*a(n+1)+32*a(n),a(0)=5,a(1)=25,a(2)=120} ogf] A269463 5.54256 [(4*f(x)-365)*(32*f(x)*x^3+4*f(x)*x^2-7*f(x)*x+35*x^2+f(x)+10*x-5) ogf] A269464 4.94168 [(5*f(x)-333)*(50*f(x)*x^3+10*f(x)*x^2-9*f(x)*x+54*x^2+f(x)+18*x-6) ogf] A269464 4.94168 [{a(n+3)-9*a(n+2)+10*a(n+1)+50*a(n),a(0)=6,a(1)=36,a(2)=210} ogf] A269464 8.89502 [-6*(9*x^2+3*x-1)/(5*x-1)/(10*x^2+4*x-1) ogf] A269465 5.21757 [(18*f(x)-1099)*(72*f(x)*x^3+18*f(x)*x^2-11*f(x)*x+77*x^2+f(x)+28*x-7) ogf] A269465 5.30600 [{a(n+3)-11*a(n+2)+18*a(n+1)+72*a(n),a(0)=7,a(1)=49,a(2)=336} ogf] A269465 9.48648 [-7*(11*x^2+4*x-1)/(6*x-1)/(12*x^2+5*x-1) ogf] A269466 4.99812 [(7*f(x)-422)*(98*f(x)*x^3+28*f(x)*x^2-13*f(x)*x+104*x^2+f(x)+40*x-8) ogf] A269466 5.04048 [{a(n+3)-13*a(n+2)+28*a(n+1)+98*a(n),a(0)=8,a(1)=64,a(2)=504} ogf] A269466 8.87727 [-8*(13*x^2+5*x-1)/(7*x-1)/(14*x^2+6*x-1) ogf] A269468 10.9133 [-(-3*x^2+30*x+33)/(-x^3+9*x^2-3*x-5) lgdogf] A269468 3.51357 [{(-5*n-20)*a(n+4)+(24-3*n)*a(n+3)+(48+9*n)*a(n+2)+(-4-n)*a(n+1),a(0)=10,a(1)=66,a(2)=228,a(3)=580} ogf] A269468 8.89236 [2*(x^2-8*x-5)/(x-1)^5 ogf] A269469 3.43332 [{(-209*n^2-2029*n-4772)*a(n+1)+(598*n^2+5140*n+11194)*a(n+2)+(-389*n^2-2211*n-3132)*a(n+3),a(0)=14,a(1)=174,a(2)=852} ogf] A269469 7.07473 [-2*(x^3-9*x^2-45*x-7)/(x-1)^6 ogf] A269469 8.05055 [-(-3*x^3+33*x^2+243*x+87)/(-x^4+10*x^3+36*x^2-38*x-7) lgdogf] A269470 5.70168 [-2*(5*x^4-14*x^3+204*x^2+154*x+11)/(x-1)^7 ogf] A269471 4.48242 [6*(9*x^5-23*x^4+190*x^3+498*x^2+161*x+5)/(x-1)^8 ogf] A269488 7.46333 [-(2*x^4+8*x^3-9*x+3)/(2*x-1)/(2*x^2+2*x-1)/(x^2+2*x-1) ogf] A269489 6.33497 [-2*(x^4+11*x^3+8*x^2-10*x+2)/(3*x-1)/(x^4+9*x^3+6*x^2-6*x+1) ogf] A269490 5.47481 [-(x^5-17*x^4-72*x^3-40*x^2+35*x-5)/(x^6-20*x^5-75*x^4-24*x^3+43*x^2-12*x+1) ogf] A269491 4.02874 [-2*(7*x^6-22*x^5-286*x^4-182*x^3+183*x^2-42*x+3)/(5*x-1)/(3*x^6-10*x^5-123*x^4-75*x^3+70*x^2-15*x+1) ogf] A269495 7.27557 [-(x^4-2*x^3+6*x^2+38*x+77)/(x^5-4*x^4+8*x^3+2*x^2+7*x-14) lgdogf] A269495 7.50293 [-(x^4-3*x^3+5*x^2+7*x+14)/(x-1)^5 ogf] A269496 5.98631 [-(x^5-10*x^4+18*x^3-34*x^2-71*x-24)/(x-1)^6 ogf] A269497 5.03089 [(x^6-7*x^5-34*x^4+54*x^3-383*x^2-311*x-40)/(x-1)^7 ogf] A269498 3.97815 [(x^7-18*x^6+207*x^5-122*x^4+903*x^3+2922*x^2+1081*x+66)/(x-1)^8 ogf] A269500 10.4391 [-f(x)*x^2+123*f(x)*x-f(x)+55*x ogf] A269500 12.4466 [-(2*x-123)/(x^2-123*x+1) lgdogf] A269500 16.1806 [55*x/(x^2-123*x+1) ogf] A269500 7.70505 [{a(n+2)-123*a(n+1)+a(n),a(0)=0,a(1)=55} ogf] A269509 4.47281 [{(-n-2)*a(n+1)+a(n+2)+(-n-3)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=0} ogf] A269511 6.95906 [(5*x^5+x^4+14*x^3+6*x^2+5*x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A269512 5.77335 [-(x^6+x^5-6*x^4-2*x^3-15*x^2-7*x-4)/(x^2+1)/(x-1)^2/(x+1)^3 ogf] A269531 7.44428 [-(4*x^4+7*x^3-9*x^2-3*x+3)/(2*x-1)/(2*x^2-1)/(x^2+2*x-1) ogf] A269532 6.54678 [-2*(17*x^4+19*x^3-8*x^2-6*x+2)/(3*x-1)/(11*x^4+14*x^3-3*x^2-4*x+1) ogf] A269533 5.02907 [-(213*x^5+319*x^4-113*x^3-95*x^2+45*x-5)/(13*x^4+24*x^3+x^2-6*x+1)/(4*x-1)^2 ogf] A269534 3.84016 [-2*(354*x^6+821*x^5+387*x^4-188*x^3-75*x^2+33*x-3)/(5*x-1)/(139*x^6+332*x^5+173*x^4-64*x^3-32*x^2+12*x-1) ogf] A269538 3.75146 [{(20*n^2+189*n+387)*a(n+1)+(6*n^2+210*n+940)*a(n+2)+(-26*n^2-215*n-411)*a(n+3),a(0)=10,a(1)=64,a(2)=222} ogf] A269538 8.09304 [2*(x+1)*(x^2-2*x-5)/(x-1)^5 ogf] A269538 9.73353 [-(2*x^3-30*x-32)/(x^4-2*x^3-6*x^2+2*x+5) lgdogf] A269539 6.54578 [-2*(4*x^4-2*x^3-15*x^2-40*x-7)/(x-1)^6 ogf] A269540 4.99417 [2*(x^6+6*x^5+21*x^4-38*x^3-207*x^2-132*x-11)/(x-1)^7 ogf] A269541 3.95856 [-2*(2*x^7+22*x^6+88*x^5+93*x^4-982*x^3-1324*x^2-404*x-15)/(x-1)^8 ogf] A269548 10.1239 [-(7*x^2-134*x-1)/(x-1)/(x^2-98*x+1) ogf] A269548 4.87449 [(102268703540*f(x)-4373466799)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+7*x^2-f(x)-134*x-1) ogf] A269548 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=-1,a(1)=-233,a(2)=-22961} ogf] A269548 5.62441 [-(7*x^4-268*x^3+12570*x^2+212*x-233)/(7*x^5-827*x^4+13958*x^3-13174*x^2+35*x+1) lgdogf] A269549 10.1239 [-(x^2-298*x+1)/(x-1)/(x^2-98*x+1) ogf] A269549 4.83865 [-(5206022279*f(x)+270525426)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+x^2-f(x)-298*x+1) ogf] A269549 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=1,a(1)=-199,a(2)=-19799} ogf] A269549 5.57675 [-(-x^4+596*x^3-29406*x^2+196*x+199)/(-x^5+397*x^4-29602*x^3+29602*x^2-397*x+1) lgdogf] A269550 10.1239 [-(5*x^2-228*x+7)/(x-1)/(x^2-98*x+1) ogf] A269550 4.7004 [(290731674329160*f(x)-878167294501)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+5*x^2-f(x)-228*x+7) ogf] A269550 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=7,a(1)=465,a(2)=45347} ogf] A269550 5.52988 [-(-5*x^4+456*x^3-22098*x^2+1376*x-465)/(-5*x^5+723*x^4-23074*x^3+23270*x^2-921*x+7) lgdogf] A269551 11.7302 [(3*x^2+258*x-5)/(x-1)/(x^2-98*x+1) ogf] A269551 5.44616 [-(136358292220*f(x)+11455127317)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-3*x^2-f(x)-258*x+5) ogf] A269551 6.35385 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=5,a(1)=237,a(2)=22965} ogf] A269551 6.51677 [-(3*x^4+516*x^3-25854*x^2+996*x-237)/(3*x^5-39*x^4-25250*x^3+26034*x^2-753*x+5) lgdogf] A269552 11.9135 [-(3*x^2-94*x+3)/(x-1)/(x^2-98*x+1) ogf] A269552 6.05128 [(65733973*f(x)-704814)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+3*x^2-f(x)-94*x+3) ogf] A269552 6.35385 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=3,a(1)=203,a(2)=19803} ogf] A269552 6.63010 [-(-3*x^4+188*x^3-9018*x^2+588*x-203)/(-3*x^5+391*x^4-9606*x^3+9606*x^2-391*x+3) lgdogf] A269553 10.1239 [-(5*x^2-138*x-3)/(x-1)/(x^2-98*x+1) ogf] A269553 4.76852 [(6406985446710*f(x)-139238883961)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+5*x^2-f(x)-138*x-3) ogf] A269553 5.48380 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=-3,a(1)=-435,a(2)=-42763} ogf] A269553 5.57675 [-(5*x^4-276*x^3+13158*x^2+604*x-435)/(5*x^5-633*x^4+14154*x^3-13370*x^2-159*x+3) lgdogf] A269554 10.1239 [(3*x^2+244*x+1)/(x-1)/(x^2-98*x+1) ogf] A269554 4.50723 [-(213746982895240*f(x)+17337231875451)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-3*x^2-f(x)-244*x-1) ogf] A269554 5.48380 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=-1,a(1)=-343,a(2)=-33861} ogf] A269554 5.62441 [-(-3*x^4-488*x^3+24450*x^2+192*x-343)/(-3*x^5+53*x^4+23858*x^3-24054*x^2+145*x+1) lgdogf] A269555 11.7302 [(x^2+254*x-7)/(x-1)/(x^2-98*x+1) ogf] A269555 5.29487 [-(21304890415790*f(x)+1341663871009)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-x^2-f(x)-254*x+7) ogf] A269555 6.35385 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=7,a(1)=439,a(2)=42767} ogf] A269555 6.40724 [-(x^4+508*x^3-25266*x^2+1388*x-439)/(x^5+155*x^4-25054*x^3+25838*x^2-947*x+7) lgdogf] A269556 11.7302 [-(7*x^2-148*x+5)/(x-1)/(x^2-98*x+1) ogf] A269556 5.44616 [(64279782154760*f(x)-2562709254619)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x+7*x^2-f(x)-148*x+5) ogf] A269556 6.35385 [{-a(n+3)+99*a(n+2)-99*a(n+1)+a(n),a(0)=5,a(1)=347,a(2)=33865} ogf] A269556 6.46154 [-(-7*x^4+296*x^3-13974*x^2+976*x-347)/(-7*x^5+841*x^4-15350*x^3+15154*x^2-643*x+5) lgdogf] A269578 4.61564 [-(145*f(x)+26)*(f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2+x^3+4*f(x)*x-3*x^2-f(x)-3*x+3) ogf] A269578 4.61564 [{-a(n+4)+4*a(n+3)-2*a(n+2)-4*a(n+1)+a(n),a(0)=3,a(1)=9,a(2)=27,a(3)=79} ogf] A269578 8.63184 [-(x^3-3*x^2-3*x+3)/(x^4-4*x^3-2*x^2+4*x-1) ogf] A269579 4.59240 [-(6*x^6+4*x^5-154*x^4-162*x^3+190*x^2-55*x+5)/(4*x-1)/(x^2+4*x-1)/(2*x^4-8*x^3-14*x^2+8*x-1) ogf] A269580 4.04319 [-2*(2*x^6-26*x^5-200*x^4-214*x^3+186*x^2-42*x+3)/(5*x-1)/(x^6-15*x^5-97*x^4-85*x^3+71*x^2-15*x+1) ogf] A269581 3.19647 [-(4*x^8+111*x^7-253*x^6-4143*x^5-5405*x^4+4923*x^3-1365*x^2+161*x-7)/(6*x-1)/(x^8+24*x^7-76*x^6-840*x^5-866*x^4+792*x^3-212*x^2+24*x-1) ogf] A269584 7.42558 [-(x^4-7*x^3+15*x^2-x+16)/(x-1)^5 ogf] A269585 6.03791 [-(x^5-2*x^4+20*x^3-70*x^2-37*x-32)/(x-1)^6 ogf] A269586 5.03089 [(x^6+9*x^5+34*x^4-78*x^3-411*x^2-211*x-64)/(x-1)^7 ogf] A269587 3.97292 [(x^7-46*x^6-129*x^5-116*x^4+1919*x^3+2418*x^2+865*x+128)/(x-1)^8 ogf] A269601 4.85885 [-(484*f(x)+70691)*(12*f(x)*x^4-8*f(x)*x^3-5*f(x)*x^2+11*x^3+5*f(x)*x-6*x^2-f(x)-6*x+3) ogf] A269601 9.16418 [-(11*x^3-6*x^2-6*x+3)/(3*x^2+x-1)/(2*x-1)^2 ogf] A269602 4.42190 [-(362*x^6+748*x^5+199*x^4-262*x^3-40*x^2+40*x-5)/(4*x-1)/(86*x^6+186*x^5+64*x^4-57*x^3-13*x^2+9*x-1) ogf] A269603 3.88038 [-2*(393*x^6+922*x^5+420*x^4-214*x^3-72*x^2+33*x-3)/(5*x-1)/(149*x^6+360*x^5+182*x^4-72*x^3-31*x^2+12*x-1) ogf] A269607 3.67582 [{(50*n^2+427*n+831)*a(n+1)+(-137*n^2-1062*n-1979)*a(n+2)+(87*n^2+487*n+678)*a(n+3),a(0)=8,a(1)=62,a(2)=222} ogf] A269607 8.14528 [-2*(x^3-4*x^2+11*x+4)/(x-1)^5 ogf] A269607 8.63596 [-(-2*x^3+9*x^2-36*x-31)/(-x^4+5*x^3-15*x^2+7*x+4) lgdogf] A269608 6.48517 [2*(4*x^4-11*x^3+15*x^2+47*x+5)/(x-1)^6 ogf] A269609 4.99417 [2*(x^6-12*x^5+2*x^4+50*x^3-249*x^2-146*x-6)/(x-1)^7 ogf] A269610 3.95856 [-2*(2*x^7-6*x^6-143*x^5+321*x^4-608*x^3-1684*x^2-395*x-7)/(x-1)^8 ogf] A269613 10.6823 [-3*(x^2+x-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A269613 5.76655 [{-a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=3,a(1)=9,a(2)=27} ogf] A269613 6.3264 [f(x)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+3*x^2+f(x)+3*x-3) ogf] A269613 6.78771 [-(-4*x^4-8*x^3+6*x^2+6*x-3)/(-4*x^5-6*x^4+6*x^3+5*x^2-5*x+1) lgdogf] A269614 4.99072 [-(7*x^6+22*x^5+54*x^4+27*x^3-76*x^2+32*x-4)/(3*x-1)/(3*x^6+9*x^5+24*x^4+9*x^3-24*x^2+9*x-1) ogf] A269615 4.46483 [-(12*x^6+40*x^5+136*x^4+163*x^3-190*x^2+55*x-5)/(4*x-1)/(4*x^6+12*x^5+45*x^4+40*x^3-45*x^2+12*x-1) ogf] A269620 3.81101 [{(31*n^2+266*n+519)*a(n+1)+(-38*n^2-160*n+66)*a(n+2)+(7*n^2-10*n-93)*a(n+3),a(0)=15,a(1)=78,a(2)=249} ogf] A269620 8.18501 [3*(x^3-3*x^2-x-5)/(x-1)^5 ogf] A269620 8.78391 [-(-2*x^3+6*x^2+10*x+26)/(-x^4+4*x^3-2*x^2+4*x-5) lgdogf] A269621 6.54578 [-2*(3*x^4-x^3-21*x^2-27*x-14)/(x-1)^6 ogf] A269622 4.41420 [(x^8-5*x^7+14*x^6-17*x^5+86*x^4-167*x^3-314*x^2-267*x-51)/(x-1)^7 ogf] A269623 3.51660 [(9*x^9-62*x^8+179*x^7-340*x^6+187*x^5-370*x^4+2141*x^3+2200*x^2+1004*x+92)/(x-1)^8 ogf] A269628 16.9979 [-(x^2-x-1)/(x^3-x^2-x+1) ogf_with_Euler_transform] A269635 5.00112 [-(89*x^6+151*x^5+x^4-93*x^3+20*x-4)/(3*x-1)/(29*x^6+54*x^5+9*x^4-28*x^3-3*x^2+6*x-1) ogf] A269636 4.34877 [-(273*x^6+559*x^5+189*x^4-207*x^3-50*x^2+40*x-5)/(4*x-1)/(67*x^6+144*x^5+60*x^4-45*x^3-15*x^2+9*x-1) ogf] A269641 7.46651 [(x-3)*(x^3+x^2+7*x+3)/(x-1)^5 ogf] A269641 7.87676 [-(x^4+6*x^2-64*x-63)/(x^5-3*x^4+6*x^3-22*x^2+9*x+9) lgdogf] A269642 6.09042 [-(x^5+6*x^4-6*x^3-22*x^2-87*x-12)/(x-1)^6 ogf] A269643 4.47190 [(x^8-5*x^7+14*x^6-2*x^5+49*x^4-85*x^3-392*x^2-284*x-16)/(x-1)^7 ogf] A269644 3.50334 [(6*x^9-44*x^8+123*x^7-240*x^6-31*x^5-152*x^4+1813*x^3+2736*x^2+809*x+20)/(x-1)^8 ogf] A269650 4.01741 [-(x^5-5*x^4+14*x^3-18*x^2+12*x-3)*(x^3-x^2+2*x-1)/(x^3-2*x^2+3*x-1)^3 ogf] A269657 7.06158 [-(-x^4+4*x^3-12*x^2-32*x-79)/(-x^5+5*x^4-12*x^3+4*x^2-11*x+15) lgdogf] A269657 7.50293 [-(x^4-4*x^3+8*x^2+4*x+15)/(x-1)^5 ogf] A269658 6.09042 [-(x+1)*(x^4-7*x^3+15*x^2-43*x-26)/(x-1)^6 ogf] A269659 5.74959 [2*(2*x^5-17*x^4-158*x^2-166*x-21)/(x-1)^7 ogf] A269660 4.00317 [2*(4*x^7-26*x^6+71*x^5+48*x^4+438*x^3+1354*x^2+599*x+32)/(x-1)^8 ogf] A269667 5.71869 [-x*(10*x^20+x^10-9*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-9)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A269673 10.4926 [-4*(4*x^2+x-1)/(3*x-1)/(5*x^2+2*x-1) ogf] A269673 5.64987 [(173*f(x)-442)*(15*f(x)*x^3+f(x)*x^2-5*f(x)*x+16*x^2+f(x)+4*x-4) ogf] A269673 5.74812 [{a(n+3)-5*a(n+2)+a(n+1)+15*a(n),a(0)=4,a(1)=16,a(2)=60} ogf] A269673 6.41781 [-(60*x^4+30*x^3-24*x^2-10*x+4)/(60*x^5+19*x^4-34*x^3-2*x^2+6*x-1) lgdogf] A269674 5.46261 [{a(n+3)-7*a(n+2)+6*a(n+1)+24*a(n),a(0)=5,a(1)=25,a(2)=120} ogf] A269674 5.46262 [(14*f(x)-19)*(24*f(x)*x^3+6*f(x)*x^2-7*f(x)*x+25*x^2+f(x)+10*x-5) ogf] A269674 9.90098 [-5*(5*x^2+2*x-1)/(4*x-1)/(6*x^2+3*x-1) ogf] A269675 4.75356 [(5351*f(x)-6093)*(35*f(x)*x^3+13*f(x)*x^2-9*f(x)*x+36*x^2+f(x)+18*x-6) ogf] A269675 4.91607 [{a(n+3)-9*a(n+2)+13*a(n+1)+35*a(n),a(0)=6,a(1)=36,a(2)=210} ogf] A269675 8.84892 [-6*(6*x^2+3*x-1)/(5*x-1)/(7*x^2+4*x-1) ogf] A269676 4.89778 [-(8518*f(x)-9191)*(48*f(x)*x^3+22*f(x)*x^2-11*f(x)*x+49*x^2+f(x)+28*x-7) ogf] A269676 5.22983 [{a(n+3)-11*a(n+2)+22*a(n+1)+48*a(n),a(0)=7,a(1)=49,a(2)=336} ogf] A269676 9.35030 [-7*(7*x^2+4*x-1)/(6*x-1)/(8*x^2+5*x-1) ogf] A269677 4.67371 [-(4989*f(x)-5284)*(63*f(x)*x^3+33*f(x)*x^2-13*f(x)*x+64*x^2+f(x)+40*x-8) ogf] A269677 4.99058 [{a(n+3)-13*a(n+2)+33*a(n+1)+63*a(n),a(0)=8,a(1)=64,a(2)=504} ogf] A269677 8.92255 [-8*(8*x^2+5*x-1)/(7*x-1)/(9*x^2+6*x-1) ogf] A269679 6.79510 [-2*(x^5-4*x^4+5*x^3-3*x^2+8*x+5)/(x-1)^5 ogf] A269680 5.55871 [-2*(2*x^6-13*x^5+36*x^4-40*x^3+7*x^2-45*x-7)/(x-1)^6 ogf] A269681 4.56134 [-2*(7*x^7-46*x^6+126*x^5-239*x^4+245*x^3+102*x^2+154*x+11)/(x-1)^7 ogf] A269682 3.64005 [-2*(12*x^8-101*x^7+376*x^6-617*x^5+1013*x^4-1759*x^3-946*x^2-483*x-15)/(x-1)^8 ogf] A269684 12.4371 [-3*(x-1)/(2*x-1)/(x^2+2*x-1) ogf] A269684 5.83335 [{a(n+3)-4*a(n+2)+3*a(n+1)+2*a(n),a(0)=3,a(1)=9,a(2)=27} ogf] A269684 6.27778 [(16*f(x)+33)*(2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)+3*x-3) ogf] A269684 8.23960 [-(-4*x^3+3*x^2+6*x-3)/(-2*x^4-x^3+7*x^2-5*x+1) lgdogf] A269685 10.9929 [-4*(x^2+2*x-1)/(3*x-1)/(2*x^2+3*x-1) ogf] A269685 5.83104 [-(7*f(x)-4)*(6*f(x)*x^3+7*f(x)*x^2-6*f(x)*x+4*x^2+f(x)+8*x-4) ogf] A269685 5.88218 [{-a(n+3)+6*a(n+2)-7*a(n+1)-6*a(n),a(0)=4,a(1)=16,a(2)=64} ogf] A269685 6.70569 [-(-6*x^4-24*x^3-2*x^2+16*x-4)/(-6*x^5-19*x^4-2*x^3+18*x^2-8*x+1) lgdogf] A269686 5.49518 [{a(n+3)-8*a(n+2)+13*a(n+1)+12*a(n),a(0)=5,a(1)=25,a(2)=125} ogf] A269686 5.49519 [(89*f(x)-70)*(12*f(x)*x^3+13*f(x)*x^2-8*f(x)*x+10*x^2+f(x)+15*x-5) ogf] A269686 9.89132 [-5*(2*x^2+3*x-1)/(4*x-1)/(3*x^2+4*x-1) ogf] A269687 4.92519 [(83*f(x)-66)*(20*f(x)*x^3+21*f(x)*x^2-10*f(x)*x+18*x^2+f(x)+24*x-6) ogf] A269687 4.92519 [{-a(n+3)+10*a(n+2)-21*a(n+1)-20*a(n),a(0)=6,a(1)=36,a(2)=216} ogf] A269687 8.80564 [-6*(3*x^2+4*x-1)/(5*x-1)/(4*x^2+5*x-1) ogf] A269688 5.21757 [(277*f(x)-224)*(30*f(x)*x^3+31*f(x)*x^2-12*f(x)*x+28*x^2+f(x)+35*x-7) ogf] A269688 5.30600 [{a(n+3)-12*a(n+2)+31*a(n+1)+30*a(n),a(0)=7,a(1)=49,a(2)=343} ogf] A269688 9.48648 [-7*(4*x^2+5*x-1)/(6*x-1)/(5*x^2+6*x-1) ogf] A269689 4.99812 [(107*f(x)-88)*(42*f(x)*x^3+43*f(x)*x^2-14*f(x)*x+40*x^2+f(x)+48*x-8) ogf] A269689 5.04048 [{a(n+3)-14*a(n+2)+43*a(n+1)+42*a(n),a(0)=8,a(1)=64,a(2)=512} ogf] A269689 9.01177 [-8*(5*x^2+6*x-1)/(7*x-1)/(6*x^2+7*x-1) ogf] A269691 5.47186 [(8*x^6-47*x^5+114*x^4-134*x^3+98*x^2+57*x+24)/(x-1)^6 ogf] A269692 4.53113 [(20*x^7-141*x^6+427*x^5-750*x^4+718*x^3-709*x^2-245*x-40)/(x-1)^7 ogf] A269693 3.63717 [(42*x^8-337*x^7+1184*x^6-2323*x^5+3268*x^4-1919*x^3+4240*x^2+819*x+66)/(x-1)^8 ogf] A269696 3.88933 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=5} ogf] A269696 6.22292 [-4*f(x)*x+f(x)-x-1 ogf] A269696 7.56843 [-(x+1)/(4*x-1) ogf] A269696 7.77867 [-5/(4*x^2+3*x-1) lgdogf] A269707 6.39711 [-3/(x-1)/(x^2+1)/(x^8+1)/(x^32+1) ogf] A269708 2.5691 [-(12*f(x)+113)*(12*f(x)*x^2+4*x^3-7*f(x)*x+3*x^2+f(x)+2*x-1) ogf] A269708 4.51665 [-(4*x^3+3*x^2+2*x-1)/(4*x-1)/(3*x-1) ogf] A269712 2.85069 [-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+x+1 ogf] A269712 3.81885 [(2*x^2+x+1)/(2*x-1)/(x-1) ogf] A269716 2.74567 [(28*f(x)+47)*(8*f(x)*x^2-8*x^3-6*f(x)*x+2*x^2+f(x)+x-1) ogf] A269716 4.63613 [(2*x+1)*(4*x^2-3*x+1)/(4*x-1)/(2*x-1) ogf] A269723 5.87668 [-x^2*(x^30-x^28+x^26-x^24+x^20-x^18+x^16-x^12+x^10-x^8+x^4-x^2+1)/(x-1)/(x^32+1) ogf] A269726 7.19907 [-(987*x^22-1034*x^21+144*x^9-162*x^8+21*x^4-28*x^3+3*x^2-6*x-1)/(x-1)^2 ogf] A269730 13.9769 [6*f(x)^2*x^2+5*f(x)*x-f(x)+1 ogf] A269730 20.6158 [-x/(-6*x^2-5*x-1) revogf] A269730 5.38976 [{(n+2)*a(n+1)+(-10*n-35)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=5,a(2)=31} ogf] A269731 15.6775 [12*f(x)^2*x^2+7*f(x)*x-f(x)+1 ogf] A269731 22.9426 [-x/(-12*x^2-7*x-1) revogf] A269731 6.14802 [{(n+2)*a(n+1)+(-14*n-49)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=7,a(2)=61} ogf] A269732 17.1407 [20*f(x)^2*x^2+9*f(x)*x-f(x)+1 ogf] A269732 25.0839 [-x/(-20*x^2-9*x-1) revogf] A269732 6.67818 [{(n+2)*a(n+1)+(-18*n-63)*a(n+2)+(n+5)*a(n+3),a(0)=1,a(1)=9,a(2)=101} ogf] A269760 14.1337 [6*x/(5*x-1)^2 ogf] A269760 19.0074 [10/(-5*x+1) lgdogf] A269760 6.64113 [{a(n+2)-10*a(n+1)+25*a(n),a(0)=0,a(1)=6} ogf] A269760 9.03631 [-25*f(x)*x^2+10*f(x)*x-f(x)+6*x ogf] A269761 4.70859 [{-a(n+3)+42*a(n+2)-441*a(n+1),a(0)=6,a(1)=480,a(2)=17520} ogf] A269761 4.9307 [(7843*f(x)+291630)*(441*f(x)*x^2-42*f(x)*x-6*x^2+f(x)-228*x-6) ogf] A269761 8.29610 [-(800*x+80)/(21*x^3+797*x^2-17*x-1) lgdogf] A269761 9.01128 [6*(x^2+38*x+1)/(21*x-1)^2 ogf] A269762 3.93264 [60*(225*x^4+1554*x^3-850*x^2+108*x+1)/(335*x^2-92*x+1)^2 ogf] A269771 10.2289 [-4*(2*x^2+2*x-1)/(3*x-1)/(3*x^2+3*x-1) ogf] A269771 5.47336 [{a(n+3)-6*a(n+2)+6*a(n+1)+9*a(n),a(0)=4,a(1)=16,a(2)=64} ogf] A269771 5.5218 [(21*f(x)-20)*(9*f(x)*x^3+6*f(x)*x^2-6*f(x)*x+8*x^2+f(x)+8*x-4) ogf] A269772 5.04818 [(92*f(x)-85)*(16*f(x)*x^3+12*f(x)*x^2-8*f(x)*x+15*x^2+f(x)+15*x-5) ogf] A269772 5.04818 [{a(n+3)-8*a(n+2)+12*a(n+1)+16*a(n),a(0)=5,a(1)=25,a(2)=125} ogf] A269772 9.08672 [-5*(3*x^2+3*x-1)/(4*x-1)/(4*x^2+4*x-1) ogf] A269773 4.95057 [(85*f(x)-78)*(25*f(x)*x^3+20*f(x)*x^2-10*f(x)*x+24*x^2+f(x)+24*x-6) ogf] A269773 4.95057 [{a(n+3)-10*a(n+2)+20*a(n+1)+25*a(n),a(0)=6,a(1)=36,a(2)=216} ogf] A269773 8.85102 [-6*(4*x^2+4*x-1)/(5*x-1)/(5*x^2+5*x-1) ogf] A269774 5.21757 [(282*f(x)-259)*(36*f(x)*x^3+30*f(x)*x^2-12*f(x)*x+35*x^2+f(x)+35*x-7) ogf] A269774 5.30600 [{a(n+3)-12*a(n+2)+30*a(n+1)+36*a(n),a(0)=7,a(1)=49,a(2)=343} ogf] A269774 9.48648 [-7*(5*x^2+5*x-1)/(6*x-1)/(6*x^2+6*x-1) ogf] A269775 4.98101 [(217*f(x)-200)*(49*f(x)*x^3+42*f(x)*x^2-14*f(x)*x+48*x^2+f(x)+48*x-8) ogf] A269775 5.06543 [{a(n+3)-14*a(n+2)+42*a(n+1)+49*a(n),a(0)=8,a(1)=64,a(2)=512} ogf] A269775 9.05638 [-8*(6*x^2+6*x-1)/(7*x-1)/(7*x^2+7*x-1) ogf] A269777 3.66701 [{(n^2-8*n-48)*a(n+1)+(38*n^2+447*n+1149)*a(n+2)+(-39*n^2-239*n-366)*a(n+3),a(0)=24,a(1)=222,a(2)=984} ogf] A269777 7.07473 [6*(x^3+2*x^2+13*x+4)/(x-1)^6 ogf] A269777 8.33807 [-(-3*x^3-11*x^2-69*x-37)/(-x^4-x^3-11*x^2+9*x+4) lgdogf] A269778 5.70168 [-8*(2*x^4+4*x^3+36*x^2+43*x+5)/(x-1)^7 ogf] A269778 6.57886 [-(6*x^4+24*x^3+192*x^2+330*x+78)/(2*x^5+2*x^4+32*x^3+7*x^2-38*x-5) lgdogf] A269779 4.48242 [6*(6*x^5+27*x^4+152*x^3+442*x^2+202*x+11)/(x-1)^8 ogf] A269782 7.24954 [-(4*x^10-8*x^8+4*x^7+4*x^6-3*x^4+24*x^3+2*x^2+4*x+1)/(x+1)^3/(x-1)^3 ogf] A269792 10.2585 [-(2*x^3+36*x^2+66*x+16)/(x^4+10*x^3-10*x-1) lgdogf] A269792 4.38836 [{(-4*n^2-17*n-18)*a(n+1)+(8*n^2+32*n+72)*a(n+2)+(-4*n^2-15*n-14)*a(n+3),a(0)=0,a(1)=5,a(2)=80} ogf] A269792 8.49360 [-5*x*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A269796 13.3959 [-16*f(x)^2*x^2-8*f(x)*x+f(x)-1 ogf] A269796 19.6037 [-x/(-16*x^2-8*x-1) revogf] A269796 7.58258 [{(-16*n-40)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=8} ogf] A269803 8.18290 [-(x^4-2*x^3-3*x^2+2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A269815 2.27825 [(6317*f(x)-19785)*(8*f(x)*x^3-14*f(x)*x^2-12*x^3+7*f(x)*x+16*x^2-f(x)-2*x+1) ogf] A269815 4.08188 [(12*x^3-16*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A269819 10.2093 [(x+1)*(5*x^2-4*x+5)/(x^2+1)/(x-1)^2 ogf] A269819 5.61513 [(12*f(x)+107)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-5*x^3-2*f(x)*x-x^2+f(x)-x-5) ogf] A269820 4.21406 [{(2*n+4)*a(n+1)-a(n+2)+(2*n+6)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A269822 10.1489 [-16*f(x)*x^2+8*f(x)*x-f(x)+5*x ogf] A269822 16.0246 [5*x/(4*x-1)^2 ogf] A269822 21.7477 [8/(-4*x+1) lgdogf] A269822 7.42604 [{a(n+2)-8*a(n+1)+16*a(n),a(0)=0,a(1)=5} ogf] A269823 3.79771 [(720*x^6-480*x^5-1016*x^4+352*x^3+701*x^2+166*x+5)/(12*x^3+36*x^2+5*x-1)^2 ogf] A269876 9.12804 [-(x^5+x^4+22*x^3+2*x^2+5*x+1)/(x+1)^3/(x-1)^3 ogf] A269877 4.17419 [-8*x*(19750453248*x^5+8538456064*x^4+585181184*x^3+7953024*x^2+15104*x+1)/(16*x-1)^7 ogf] A269878 6.94866 [(x^5+x^4+22*x^3+2*x^2+5*x+1)/(x+1)^3/(x-1)^4 ogf] A269879 9.50899 [-(-18*x^3+2*x^2-16*x)/(-6*x^4-x^3+5*x^2+x+1) lgdogf] A269879 9.50899 [4*(6*x^2+x+1)/(x-1)^2/(x+1)^3 ogf] A269882 3.12686 [-(-3288841010+961730219*f(x))*(196*f(x)*x^4+420*f(x)*x^3-24*x^4+197*f(x)*x^2-216*x^3-30*f(x)*x+498*x^2+f(x)-252*x-6) ogf] A269882 5.68521 [6*(4*x^2+44*x+1)*(x-1)^2/(14*x^2+15*x-1)^2 ogf] A269895 15.2091 [7*x/(6*x-1)^2 ogf] A269895 20.4536 [12/(-6*x+1) lgdogf] A269895 7.14645 [{a(n+2)-12*a(n+1)+36*a(n),a(0)=0,a(1)=7} ogf] A269895 9.72385 [-36*f(x)*x^2+12*f(x)*x-f(x)+7*x ogf] A269896 5.17214 [{-a(n+3)+62*a(n+2)-961*a(n+1),a(0)=7,a(1)=840,a(2)=45360} ogf] A269896 5.52026 [(391*f(x)+17444)*(961*f(x)*x^2-62*f(x)*x-7*x^2+f(x)-406*x-7) ogf] A269896 8.69859 [-(1800*x+120)/(31*x^3+1797*x^2-27*x-1) lgdogf] A269896 9.89840 [7*(x^2+58*x+1)/(31*x-1)^2 ogf] A269897 3.45698 [42*(1152*x^4+9795*x^3-4154*x^2+420*x+2)/(774*x^2-165*x+1)^2 ogf] A269906 9.10651 [(4*x^5-x^4-32*x^3+2*x^2-4*x-1)/(x+1)^3/(x-1)^3 ogf] A269907 2.39552 [(7*f(x)-1679)*(8*f(x)*x^3-14*f(x)*x^2-40*x^3+7*f(x)*x+30*x^2-f(x)-3*x+1) ogf] A269907 4.15889 [(40*x^3-30*x^2+3*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A269908 6.91678 [-(4*x^5-x^4-32*x^3+2*x^2-4*x-1)/(x+1)^3/(x-1)^4 ogf] A269909 7.59995 [-(5*x^5-5*x^4-82*x^3+34*x^2-83*x+3)/(5*x^6-39*x^4+31*x^2+3) lgdogf] A269909 8.99018 [-(5*x^4-34*x^2-3)/(x-1)^2/(x+1)^3 ogf] A269910 9.10651 [(3*x^5-x^4-30*x^3+2*x^2-5*x-1)/(x+1)^3/(x-1)^3 ogf] A269911 2.33937 [(651*f(x)-32276)*(8*f(x)*x^3-14*f(x)*x^2-32*x^3+7*f(x)*x+24*x^2-f(x)-2*x+1) ogf] A269911 4.15889 [(32*x^3-24*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A269912 6.91678 [-(3*x^5-x^4-30*x^3+2*x^2-5*x-1)/(x+1)^3/(x-1)^4 ogf] A269913 7.84250 [-(x^5-x^4-20*x^3+8*x^2-21*x+1)/(x^6-9*x^4+7*x^2+1) lgdogf] A269913 8.99018 [-4*(x^4-8*x^2-1)/(x-1)^2/(x+1)^3 ogf] A269914 8.33050 [(x+1)*(x^2+x+1)/(2*x^2+2*x-1)/(x^4+3*x^3+3*x^2+x-1) ogf] A269915 5.58128 [(x+1)*(x^2+x+1)*(x^2+1)/(x^6+3*x^5+5*x^4+5*x^3+3*x^2+x-1)/(2*x^3+2*x^2+2*x-1) ogf] A269916 4.29184 [(x+1)*(x^2+1)*(x^4+x^3+x^2+x+1)/(x^8+3*x^7+5*x^6+7*x^5+7*x^4+5*x^3+3*x^2+x-1)/(2*x^4+2*x^3+2*x^2+2*x-1) ogf] A269932 3.51173 [(2800*x^6+20160*x^5-42600*x^4+19736*x^3+8199*x^2+690*x+7)/(140*x^3+192*x^2+15*x-1)^2 ogf] A269962 8.88313 [-(x+1)*(2*x^3-2*x^2-1)/(x-1)/(2*x^4-2*x^2+3*x-1) ogf] A269963 9.32689 [-(2*x^3+2*x^2+1)/(x+1)/(2*x^4-2*x^2+3*x-1) ogf] A269964 8.88860 [-(2*x^4-x^2+2*x-1)/(x-1)/(x+1)/(2*x^4-2*x^2+3*x-1) ogf] A269965 9.70844 [(2*x^3+2*x^2+1)/(x-1)/(x+1)/(2*x^4-2*x^2+3*x-1) ogf] A270006 6.61639 [-(x^7-x^6-2*x^5+3*x^4+25*x^3-3*x^2+8*x+1)/(x+1)^3/(x-1)^3 ogf] A270007 2.0651 [-(1479564*f(x)-2502797)*(8*f(x)*x^3+8*x^4-14*f(x)*x^2-14*x^3+7*f(x)*x+7*x^2-f(x)+x+1) ogf] A270007 3.79038 [-(8*x^4-14*x^3+7*x^2+x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270008 6.09090 [(x^7-x^6-2*x^5+3*x^4+25*x^3-3*x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A270009 6.70177 [(x^6-x^5-3*x^4+2*x^3+27*x^2-x+7)/(x-1)^2/(x+1)^3 ogf] A270010 7.15650 [(x^6-x^5-3*x^4-22*x^3+3*x^2-9*x-1)/(x+1)^3/(x-1)^3 ogf] A270012 6.53733 [-(x^6-x^5-3*x^4-22*x^3+3*x^2-9*x-1)/(x+1)^3/(x-1)^4 ogf] A270013 7.84250 [-(x^5-2*x^3-24*x^2+x-8)/(x-1)^2/(x+1)^3 ogf] A270049 4.54183 [{(-n-2)*a(n+1)+(n+3)*a(n+2)-a(n+4)+2*a(n+3),a(0)=1,a(1)=1,a(2)=3,a(3)=7} ogf] A270052 4.78902 [{-a(n+3)+26*a(n+2)-169*a(n+1),a(0)=5,a(1)=240,a(2)=5400} ogf] A270052 4.96973 [(9443*f(x)+277265)*(169*f(x)*x^2-26*f(x)*x-5*x^2+f(x)-110*x-5) ogf] A270052 8.49665 [-(288*x+48)/(13*x^3+285*x^2-9*x-1) lgdogf] A270052 9.08262 [5*(x^2+22*x+1)/(13*x-1)^2 ogf] A270053 4.19095 [20*(128*x^4+675*x^3-526*x^2+90*x+2)/(116*x^2-45*x+1)^2 ogf] A270059 10.7709 [(x^5-2*x^4+x^2+1)/(x+1)/(x-1)^2 ogf] A270062 8.53643 [-(x^3+x^2-1)/(x^6+x^5-x^4-5*x^3-5*x^2-x+1) ogf] A270079 5.20788 [(4*x^12-4*x^10-4*x^9+x^8+12*x^7-6*x^6-4*x^4-4*x^3-6*x^2-4*x-1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A270080 3.18218 [(32*x^5-16*x^4+6*x^3+x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270081 5.42732 [-(4*x^12-4*x^10-4*x^9+x^8+12*x^7-6*x^6-4*x^4-4*x^3-6*x^2-4*x-1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A270082 6.66097 [-(4*x^11-4*x^9-4*x^8+x^7+12*x^6-5*x^5-5*x^3-4*x^2-7*x-4)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A270084 2.15424 [(13539*f(x)-28202)*(8*f(x)*x^3+32*x^4-14*f(x)*x^2-16*x^3+7*f(x)*x+22*x^2-f(x)-3*x+1) ogf] A270084 3.69679 [-(32*x^4-16*x^3+22*x^2-3*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270085 5.73386 [(4*x^10-8*x^8+4*x^7+4*x^6-3*x^4+24*x^3+2*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A270086 5.79106 [(4*x^9-8*x^7+4*x^6+4*x^5-x^4-4*x^3+26*x^2+4*x+3)/(x-1)^2/(x+1)^3 ogf] A270087 5.59852 [-(9*x^9-5*x^8-22*x^7+14*x^6+13*x^5-12*x^4+28*x^3+2*x^2+4*x+1)/(x+1)^3/(x-1)^3 ogf] A270088 3.36449 [-(72*x^5-86*x^4-7*x^3+26*x^2-3*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270089 5.32430 [(9*x^9-5*x^8-22*x^7+14*x^6+13*x^5-12*x^4+28*x^3+2*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A270090 5.67073 [(9*x^8-5*x^7-22*x^6+14*x^5+12*x^4-13*x^3+30*x^2+4*x+3)/(x-1)^2/(x+1)^3 ogf] A270109 10.9970 [-(x^3+11*x^2+5*x+7)/(x^4+3*x^3-5*x^2+3*x-2) lgdogf] A270109 11.5683 [(x^3+4*x^2-x+2)/(x-1)^4 ogf] A270109 4.78902 [{(-59*n^2-294*n-352)*a(n+1)+(54*n^2+3*n-469)*a(n+2)+(5*n^2+99*n+252)*a(n+3),a(0)=2,a(1)=7,a(2)=20} ogf] A270109 6.18583 [(9504*f(x)+12437)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-4*x^2+f(x)+x-2) ogf] A270111 10.3623 [-49*f(x)*x^2+14*f(x)*x-f(x)+8*x ogf] A270111 16.2077 [8*x/(7*x-1)^2 ogf] A270111 21.7965 [14/(-7*x+1) lgdogf] A270111 7.61565 [{a(n+2)-14*a(n+1)+49*a(n),a(0)=0,a(1)=8} ogf] A270112 4.67623 [{-a(n+3)+86*a(n+2)-1849*a(n+1),a(0)=8,a(1)=1344,a(2)=100800} ogf] A270112 5.07704 [(649*f(x)+33637)*(1849*f(x)*x^2-86*f(x)*x-8*x^2+f(x)-656*x-8) ogf] A270112 8.07712 [-(3528*x+168)/(43*x^3+3525*x^2-39*x-1) lgdogf] A270112 9.03542 [8*(x^2+82*x+1)/(43*x-1)^2 ogf] A270113 3.61619 [112*(1225*x^4+12339*x^3-4286*x^2+360*x+1)/(1547*x^2-270*x+1)^2 ogf] A270126 3.32711 [{-a(n+3)+4*a(n+2),a(0)=1,a(1)=5,a(2)=24} ogf] A270126 3.53505 [-(28*f(x)-3)*(4*f(x)*x+4*x^2-f(x)+x+1) ogf] A270126 6.28453 [-(4*x^2+x+1)/(4*x-1) ogf] A270129 5.64331 [-(5*x^9-5*x^8-10*x^7+14*x^6+x^5-12*x^4+32*x^3+2*x^2+4*x+1)/(x+1)^3/(x-1)^3 ogf] A270130 3.32711 [-(40*x^5-30*x^4-35*x^3+30*x^2-3*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270131 5.35910 [(5*x^9-5*x^8-10*x^7+14*x^6+x^5-12*x^4+32*x^3+2*x^2+4*x+1)/(x+1)^3/(x-1)^4 ogf] A270132 6.09252 [(5*x^8-5*x^7-10*x^6+14*x^5-13*x^3+34*x^2+4*x+3)/(x-1)^2/(x+1)^3 ogf] A270143 17.4700 [-(-2*x^2+4*x-1)/(x-1) ogf_with_Euler_transform] A270144 14.3072 [-(-2*x^3+2*x^2+2*x-1)/(x^2-1) ogf_with_Euler_transform] A270145 4.94504 [8*(4*x^2+116*x+1)*(x-1)^2/(x+1)^2/(34*x-1)^2 ogf] A270164 5.32539 [-(4*x^13+8*x^12-12*x^11-24*x^10+16*x^9+23*x^8-12*x^7-6*x^6+x^5+26*x^3+2*x^2+5*x+1)/(x+1)^3/(x-1)^3 ogf] A270165 2.99893 [-(32*x^6-24*x^5+4*x^4-28*x^3+20*x^2-2*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270166 4.50111 [(4*x^13+8*x^12-12*x^11-24*x^10+16*x^9+23*x^8-12*x^7-6*x^6+x^5+26*x^3+2*x^2+5*x+1)/(x+1)^3/(x-1)^4 ogf] A270167 4.69431 [(4*x^12+8*x^11-12*x^10-24*x^9+16*x^8+23*x^7-12*x^6-6*x^5-x^3+28*x^2+4*x+4)/(x-1)^2/(x+1)^3 ogf] A270172 11.3001 [-x^10*(10*x^10-9)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A270205 12.2378 [-(6+6*x)/(2*x^2-x-1) lgdogf] A270205 3.96901 [{(n+1)*a(n+3)+(-6+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=6} ogf] A270205 5.43901 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+12*x^3+4*f(x)*x+6*x^2-f(x) ogf] A270205 8.39163 [6*x^2*(2*x+1)/(x-1)^4 ogf] A270218 2.35116 [(155*f(x)-267)*(8*f(x)*x^3-14*f(x)*x^2-8*x^3+7*f(x)*x+14*x^2-f(x)-3*x+1) ogf] A270218 4.13937 [(8*x^3-14*x^2+3*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270222 2.27825 [(13107*f(x)-25816)*(8*f(x)*x^3-14*f(x)*x^2-8*x^3+7*f(x)*x+12*x^2-f(x)-2*x+1) ogf] A270222 4.13937 [(8*x^3-12*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270229 9.64099 [-(-x^3+2*x^2-x-2)/(x^3-x^2-x+1) lgdegf] A270239 6.57718 [-(-x^5+6*x^4-15*x^3+20*x^2-15*x+6)/(-x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) ogf_with_Euler_transform] A270241 7.74422 [-(x-2)*(x^2-2*x+2)*(x^4-4*x^3+6*x^2-4*x+2)/(x-1)^8 ogf_with_Euler_transform] A270242 7.48032 [-(x^2-3*x+3)*(x^6-6*x^5+15*x^4-21*x^3+18*x^2-9*x+3)/(x-1)^9 ogf_with_Euler_transform] A270243 6.38805 [-(x-2)*(x^4-3*x^3+4*x^2-2*x+1)*(x^4-5*x^3+10*x^2-10*x+5)/(x-1)^10 ogf_with_Euler_transform] A270257 17.8279 [-12*x/(x+1)/(x-1)^3 ogf] A270257 18.6382 [-(-4*x-2)/(-x^2+1) lgdogf] A270257 38.8333 [[2+x] ogf_with_Euler_transform] A270257 6.07468 [{(n+2)*a(n+3)-2*a(n+2)+(-4-n)*a(n+1),a(0)=0,a(1)=12,a(2)=24} ogf] A270257 7.8854 [-(f(x)-2)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-f(x)+12*x) ogf] A270258 3.86738 [6*x*(207*x^6+418*x^5+965*x^4+724*x^3+449*x^2+106*x+11)/(x+1)^4/(x-1)^6 ogf] A270272 3.59123 [(x^6+54*x^5+405*x^4+760*x^3+405*x^2+54*x+1)/(x-1)^10 ogf] A270272 4.34994 [{(n^3+15*n^2+75*n+125)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=64} ogf] A270287 3.67369 [-(6*x^4-19*x^3+18*x^2-3*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270296 11.4592 [-(x^3+3*x^2+6*x+2)/(x^4+x^3-x-1) lgdogf] A270296 12.8917 [20*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A270296 32.8278 [-x^2+x+2 ogf_with_Euler_transform] A270296 7.11264 [(f(x)+172)*(f(x)*x^3-f(x)*x^2-f(x)*x-20*x^2+f(x)-20*x-20) ogf] A270296 7.17449 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=20,a(1)=40,a(2)=80} ogf] A270297 7.08036 [28*(x^8+x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+x+1)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A270307 5.12461 [-(247*f(x)-970)*(2*f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2+4*x^3-f(x)*x+8*x^2-f(x)+4*x+1) ogf] A270307 9.65023 [-(4*x^3+8*x^2+4*x+1)/(x+1)/(2*x^3+2*x^2-1) ogf] A270346 9.99983 [(7*x^3+5*x^2+3*x+2)/(x-1)/(11*x-1)/(x+1)/(x^2+1) ogf] A270363 3.94002 [-4*f(x)^2*x^4+f(x)^2*x^3+4*f(x)^2*x^2-12*f(x)*x^3-5*f(x)^2*x+3*f(x)*x^2+f(x)^2+4*f(x)*x-9*x^2-f(x)+2*x ogf] A270369 15.0196 [-9*f(x)*x+f(x)+7*x-1 ogf] A270369 17.7864 [-2/(-63*x^2+16*x-1) lgdogf] A270369 18.2671 [(7*x-1)/(9*x-1) ogf] A270369 9.38726 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=2} ogf] A270374 5.51158 [-(f(x)-2)*(f(x)*x-f(x)+2)^2 ogf] A270386 3.25056 [{(31*n^2+31*n)*a(n)+(-66*n^2-227*n-161)*a(n+1)+(39*n^2+226*n+322)*a(n+2)+(-4*n^2-30*n-56)*a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A270386 5.66897 [-f(x)^3*x^2-2*f(x)^2*x^2+2*f(x)^2*x-f(x)*x^2+2*f(x)*x+x^2-f(x)-2*x+1 ogf] A270444 13.9135 [2*(2*x+1)/(4*x^2-8*x+1) ogf] A270444 7.03492 [(168*f(x)+289)*(4*f(x)*x^2-8*f(x)*x+f(x)-4*x-2) ogf] A270444 7.54347 [{-a(n+2)+8*a(n+1)-4*a(n),a(0)=2,a(1)=20} ogf] A270444 9.48648 [-(8*x^2+8*x-10)/(8*x^3-12*x^2-6*x+1) lgdogf] A270445 13.2813 [2*(4*x+1)/(16*x^2-12*x+1) ogf] A270445 6.85957 [(105*f(x)+302)*(16*f(x)*x^2-12*f(x)*x+f(x)-8*x-2) ogf] A270445 7.34378 [{-a(n+2)+12*a(n+1)-16*a(n),a(0)=2,a(1)=32} ogf] A270445 9.04668 [-(-64*x^2-32*x+16)/(-64*x^3+32*x^2+8*x-1) lgdogf] A270454 9.16740 [-(x^5+x^4+18*x^3+6*x^2+5*x+1)/(x+1)^3/(x-1)^3 ogf] A270455 6.98053 [(x^5+x^4+18*x^3+6*x^2+5*x+1)/(x+1)^3/(x-1)^4 ogf] A270456 9.09884 [-(15*x^3+3*x^2+13*x+1)/(5*x^4+2*x^3-4*x^2-2*x-1) lgdogf] A270456 9.56545 [4*(5*x^2+2*x+1)/(x-1)^2/(x+1)^3 ogf] A270471 15.5239 [-7*f(x)*x+f(x)+3*x-1 ogf] A270471 18.3836 [-4/(-21*x^2+10*x-1) lgdogf] A270471 18.8804 [(3*x-1)/(7*x-1) ogf] A270471 9.70243 [{a(n+2)-7*a(n+1),a(0)=1,a(1)=4} ogf] A270472 15.8315 [-9*f(x)*x+f(x)+2*x-1 ogf] A270472 18.7478 [-7/(-18*x^2+11*x-1) lgdogf] A270472 19.2545 [(2*x-1)/(9*x-1) ogf] A270472 9.89469 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=7} ogf] A270473 15.4932 [-9*f(x)*x+f(x)+5*x-1 ogf] A270473 18.3472 [-4/(-45*x^2+14*x-1) lgdogf] A270473 18.8431 [(5*x-1)/(9*x-1) ogf] A270473 9.68326 [{a(n+2)-9*a(n+1),a(0)=1,a(1)=4} ogf] A270510 11.8294 [-(6*x^3+6*x^2+10*x+2)/(3*x^4-2*x^2-1) lgdogf] A270510 14.3199 [-3*(3*x^2+1)/(x+1)/(x-1)^3 ogf] A270510 7.28778 [(268*f(x)-2049)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+9*x^2-f(x)+3) ogf] A270511 3.60973 [3*(161*x^8+406*x^7+1348*x^6+1386*x^5+1482*x^4+666*x^3+268*x^2+38*x+5)/(x+1)^4/(x-1)^6 ogf] A270545 10.9697 [-(x^3-3*x^2-6*x-4)/(-x^4-x^3+x+1) lgdogf] A270545 12.9478 [(x+1)*(x^2+x+1)/(x-1)^2 ogf] A270545 31.4447 [-x^2-x+4 ogf_with_Euler_transform] A270545 6.86798 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=1,a(1)=4,a(2)=9,a(3)=15} ogf] A270545 7.38148 [-(128*f(x)-9)*(f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A270567 10.5052 [{a(n+2)-5*a(n+1),a(0)=1,a(1)=9} ogf] A270567 16.8084 [-5*f(x)*x+f(x)-4*x-1 ogf] A270567 20.4426 [-(4*x+1)/(5*x-1) ogf] A270567 20.4426 [-9/(20*x^2+x-1) lgdogf] A270568 15.4256 [-8*f(x)*x+f(x)-4*x-1 ogf] A270568 18.2671 [-12/(32*x^2+4*x-1) lgdogf] A270568 18.7608 [-(4*x+1)/(8*x-1) ogf] A270568 9.50892 [{a(n+2)-8*a(n+1),a(0)=1,a(1)=12} ogf] A270569 6.77802 [-(4*x^10-8*x^8+3*x^7+4*x^6+3*x^5-3*x^4+21*x^3+2*x^2+5*x+1)/(x+1)^3/(x-1)^3 ogf] A270572 7.24580 [-(x^14-2*x^13+x^12+3*x^11-x^10-3*x^8+2*x^7+2*x^6-x^5-x^3+2*x^2-x-3)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A270576 10.3645 [{a(n+2)-6*a(n+1),a(0)=1,a(1)=8} ogf] A270576 16.5833 [-6*f(x)*x+f(x)-2*x-1 ogf] A270576 20.1688 [-(2*x+1)/(6*x-1) ogf] A270576 20.1688 [-8/(12*x^2+4*x-1) lgdogf] A270577 3.31598 [{(128*n^3+576*n^2+856*n+420)*a(n+1)+(-2*n^3-13*n^2-28*n-20)*a(n+2),a(0)=1,a(1)=4} ogf] A270607 5.76516 [-(26*f(x)+141)*(f(x)*x^4-2*f(x)*x^3+18*x^4-24*x^3+2*f(x)*x+36*x^2-f(x)-12*x+6) ogf] A270607 7.79992 [-(2*x^4+16*x^3-6*x^2+12*x)/(3*x^6-4*x^5+3*x^4+2*x^3-5*x^2+2*x-1) lgdogf] A270607 9.82212 [-6*(3*x^4-4*x^3+6*x^2-2*x+1)/(x+1)/(x-1)^3 ogf] A270640 6.34328 [-(-x^11+x^10-x^9+2*x^8-x^7+x^6+x^4-x^3+2*x^2-x+1)/(x^12-1) ogf_with_Euler_transform] A270660 10.8140 [-2*(x^12-x^11+x^7-x^6+2*x^5-x^4-x^3+2*x^2+3*x-6)/(x-1)^2 ogf] A270681 8.25010 [(x^6+5*x^4-4*x^3-5*x^2-4*x-1)/(x+1)^2/(x-1)^3 ogf] A270682 2.07431 [(4284*f(x)-2353)*(8*f(x)*x^3-8*x^4-14*f(x)*x^2-18*x^3+7*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A270682 3.54471 [(8*x^4+18*x^3-3*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270683 7.60310 [-(x^6+5*x^4-4*x^3-5*x^2-4*x-1)/(x+1)^2/(x-1)^4 ogf] A270684 11.2135 [-(x^5+6*x^3-4*x^2-7*x-4)/(x-1)^2/(x+1)^2 ogf] A270693 11.6199 [-(x^2-23*x+1)/(x-1)/(x+1)^3 ogf] A270693 5.6727 [-(131284*f(x)-3220749)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x+x^2-f(x)-23*x+1) ogf] A270693 9.35627 [-(2*x^3-71*x^2+52*x-25)/(x^4-23*x^3+23*x-1) lgdogf] A270694 8.54831 [x*(x^2-5*x+1)/(x-1)/(x+1)^4 ogf] A270694 9.35693 [-(3*x^3-23*x^2+22*x-8)/(x^4-5*x^3+5*x-1) lgdogf] A270695 5.18081 [-x*(286*x^9+693*x^8+161*x^7-685*x^6-455*x^5-x^2+6*x-1)/(x-1)/(x+1)^4 ogf] A270700 15.0808 [-(-5*x-7)/(-x^3-2*x^2+x+2) lgdogf] A270700 15.3550 [6*(x+2)*(x+1)/(x-1)^2 ogf] A270700 8.04310 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=12,a(1)=42,a(2)=78} ogf] A270700 8.79714 [(2*f(x)+25)*(f(x)*x^2-2*f(x)*x-6*x^2+f(x)-18*x-12) ogf] A270704 13.5954 [-2*x*(17*x+7)/(x-1)^3 ogf] A270704 15.4256 [-(-34*x-38)/(-17*x^2+10*x+7) lgdogf] A270704 6.62919 [(733536*f(x)-11234431)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+34*x^2-f(x)+14*x) ogf] A270704 7.09850 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=14,a(2)=76} ogf] A270708 5.57548 [x^3*(x^9-x^8-6*x^5+6*x^4-3*x-1)/(x-1)/(x^2+1)/(x^4+2*x^2-1)/(x^4-2*x^2-1) ogf] A270709 7.91555 [-f(x)^2*x^2-f(x)^2*x-9*x^3+3*f(x)*x-12*x^2+2*f(x)-4*x ogf] A270710 17.2110 [-(7*x-1)/(x-1)^3 ogf] A270710 18.6160 [-(-14*x-4)/(-7*x^2+8*x-1) lgdogf] A270710 8.07243 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=4,a(2)=15} ogf] A270710 8.36866 [(1620*f(x)-5849)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+7*x-1) ogf] A270715 11.6626 [-(x^2-x-1)/(x-1)/(x^3+x^2+x-1) ogf] A270715 6.37235 [(132*f(x)+191)*(f(x)*x^4-2*f(x)*x+x^2+f(x)-x-1) ogf] A270737 11.3153 [(x^2-x-1)/(x^6+2*x^5+2*x-1) ogf] A270740 5.02762 [-x*(2*x^4-x^3+x+1)/(x-1)/(x^6+x^3+1) ogf] A270743 12.3825 [-(x^3-2*x^2-x-1)/(x^2+x+1)^2/(x-1)^2 ogf] A270752 10.5804 [1/2+1/2*(1044*x^7+1)^(1/2) ogf_with_Euler_transform] A270752 11.6119 [(f(x)*x-f(x)+1)^2 ogf] A270765 13.8685 [exp(x)+(2*x+3)/(x+1) lgdegf] A270785 4.98688 [-f(x)^2*x^4-4*f(x)^2*x^3+9*f(x)^2*x^2+2*f(x)*x^3-6*f(x)^2*x-2*f(x)*x^2+f(x)^2-x^2+2*x-1 ogf] A270786 4.31002 [f(x)^2*x^4+8*f(x)^2*x^3-19*f(x)^2*x^2-2*f(x)*x^3+13*f(x)^2*x+3*f(x)*x^2-2*f(x)^2-2*f(x)*x+x^2+f(x)-2*x+1 ogf] A270787 4.68365 [-f(x)^2*x^4-14*f(x)^2*x^3+33*f(x)^2*x^2+2*f(x)*x^3-22*f(x)^2*x-4*f(x)*x^2+3*f(x)^2+4*f(x)*x-x^2-2*f(x)+2*x-1 ogf] A270797 13.3471 [-x*(2*x^2-4*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A270797 8.14175 [(88*f(x)+131)*(4*f(x)*x^4-5*f(x)*x^2+2*x^3-4*x^2+f(x)-x) ogf] A270809 10.3186 [-(-3*x^3+9*x^2-3*x+1)/(-3*x^4+12*x^3-16*x^2+9*x-2) lgdogf] A270809 10.7105 [-2*(x-2)*(3*x^2-3*x+1)/(x-1)^4 ogf] A270809 4.57367 [{(11*n^2+57*n+70)*a(n+1)+(-26*n^2-120*n-124)*a(n+2)+(15*n^2+51*n+18)*a(n+3),a(0)=4,a(1)=2,a(2)=2} ogf] A270809 5.79541 [-(17*f(x)+146)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+6*x^3-4*f(x)*x-18*x^2+f(x)+14*x-4) ogf] A270810 13.0180 [x*(2*x^3+2*x^2-x+1)/(2*x-1)/(x-1) ogf] A270810 4.33935 [{(2*n-2)*a(n+1)+(n+5)*a(n+2)+(-5*n-4)*a(n+3)+(2*n+1)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A270810 7.69248 [-(11*f(x)+6)*(-2*x^4+2*f(x)*x^2-2*x^3-3*f(x)*x+x^2+f(x)-x) ogf] A270810 9.09863 [-(-4*x^4+12*x^3-2*x^2-2)/(4*x^5-2*x^4-6*x^3+7*x^2-4*x+1) lgdogf] A270823 6.29439 [-x*(x^9+2*x^8-x^5+x^3+x+2)/(x-1)/(x^2+1)/(x^8+1) ogf] A270824 8.76971 [-x*(x^7-x^6+x^4+2*x^3-x^2+1)/(x-1)/(x^8+1) ogf] A270841 11.3671 [(5*x^3-15*x^2+16*x-5)/(2*x-1)/(x-1)^2 ogf] A270841 6.11412 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=5,a(1)=4,a(2)=6,a(3)=9} ogf] A270841 6.45651 [-(f(x)-5)*(2*f(x)*x^3-5*f(x)*x^2-5*x^3+4*f(x)*x+15*x^2-f(x)-16*x+5) ogf] A270841 8.49541 [-(-5*x^3+19*x^2-16*x+4)/(10*x^5-45*x^4+82*x^3-73*x^2+31*x-5) lgdogf] A270851 11.1927 [-6*x^2*(3*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A270851 6.40871 [(189*f(x)+11)*(f(x)*x^4-2*f(x)*x^3+18*x^4+12*x^3+2*f(x)*x+6*x^2-f(x)) ogf] A270851 9.69122 [-(6*x^3+12*x^2+14*x+4)/(3*x^4+2*x^3-2*x^2-2*x-1) lgdogf] A270863 10.9025 [-x*(x^2+x-1)/(x^4+3*x^3-x^2-3*x+1) ogf] A270863 5.98406 [(5*f(x)-2)*(f(x)*x^4+3*f(x)*x^3-f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)-x) ogf] A270863 7.36927 [-(-2*x^5-6*x^4-2*x^3+7*x^2-2)/(-x^6-4*x^5-x^4+7*x^3+x^2-4*x+1) lgdogf] A270867 10.0594 [-(-2*x^3-4*x^2-10*x-8)/(-2*x^4+3*x^3-5*x^2+3*x+1) lgdogf] A270867 10.5820 [(2*x^3-x^2+4*x+1)/(x-1)^4 ogf] A270867 4.33411 [{(5*n^2-49*n-118)*a(n+1)+(54*n^2+537*n+866)*a(n+2)+(-59*n^2-296*n-357)*a(n+3),a(0)=1,a(1)=8,a(2)=25} ogf] A270867 5.73811 [(1728*f(x)+545)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+x^2+f(x)-4*x-1) ogf] A270868 7.71835 [-(-x^4+22*x^3+30*x^2+46*x+23)/(-x^5+14*x^4-16*x^3+16*x^2-11*x-2) lgdogf] A270868 8.27534 [(x^4-13*x^3+3*x^2-13*x-2)/(x-1)^5 ogf] A270869 6.45708 [3*(3*x^5-9*x^4+36*x^3-8*x^2+17*x+1)/(x-1)^6 ogf] A270870 5.36988 [(21*x^6-158*x^5+207*x^4-694*x^3+89*x^2-180*x-5)/(x-1)^7 ogf] A270871 4.62570 [(73*x^7-450*x^6+1897*x^5-1012*x^4+4171*x^3-274*x^2+627*x+8)/(x-1)^8 ogf] A270872 3.91402 [(226*x^8-1909*x^7+4997*x^6-19271*x^5+1091*x^4-23875*x^3+595*x^2-2161*x-13)/(x-1)^9 ogf] A270873 3.21692 [(754*x^9-6565*x^8+30660*x^7-30698*x^6+187124*x^5+41496*x^4+132820*x^3-190*x^2+7458*x+21)/(x-1)^10 ogf] A270879 10.6033 [-x*(4*x^3+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+2*x-1) ogf] A270889 13.8620 [-3*(2*x^2-5*x+1)/(x-1)/(x^2-6*x+1) ogf] A270889 7.34564 [(1336*f(x)+267)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+6*x^2-f(x)-15*x+3) ogf] A270889 7.60567 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=3,a(1)=6,a(2)=27} ogf] A270889 8.34409 [-(-2*x^4+10*x^3-24*x^2+10*x-2)/(-2*x^5+19*x^4-50*x^3+44*x^2-12*x+1) lgdogf] A270934 7.73194 [-(5*x^8-4*x^7-7*x^6+8*x^5+20*x^3+x^2+8*x+1)/(x+1)^3/(x-1)^3 ogf] A270935 2.12368 [-(2299*f(x)-43682)*(8*f(x)*x^3-32*x^4-14*f(x)*x^2+16*x^3+7*f(x)*x+2*x^2-f(x)+x+1) ogf] A270935 3.74300 [(32*x^4-16*x^3-2*x^2-x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A270936 6.11897 [(5*x^8-4*x^7-7*x^6+8*x^5+20*x^3+x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A270937 6.24742 [(5*x^7-4*x^6-7*x^5+7*x^4-x^3+22*x^2+3*x+7)/(x-1)^2/(x+1)^3 ogf] A270993 11.5151 [-(3661543*x+18708077)/(3661543*x^2+3861724*x-7523267) lgdogf] A270993 15.9595 [(3661543*x+7523267)/(x-1)^2 ogf] A270993 7.70925 [(22369620*f(x)+181699521089389)*(f(x)*x^2-2*f(x)*x+f(x)-3661543*x-7523267) ogf] A270993 9.57569 [{-a(n+2)+2*a(n+1)-a(n),a(0)=7523267,a(1)=18708077} ogf] A270994 10.9722 [-(1730681*x+20638939)/(1730681*x^2+7723448*x-9454129) lgdogf] A270994 15.2071 [(1730681*x+9454129)/(x-1)^2 ogf] A270994 7.34581 [(22369620*f(x)+214480529884741)*(f(x)*x^2-2*f(x)*x+f(x)-1730681*x-9454129) ogf] A270994 9.12427 [{-a(n+2)+2*a(n+1)-a(n),a(0)=9454129,a(1)=20638939} ogf] A271004 6.27292 [(4*x^11-8*x^9+3*x^8+4*x^7+3*x^6-4*x^5-4*x^4-20*x^3-x^2-8*x-1)/(x+1)^3/(x-1)^3 ogf] A271005 2.58138 [(5156*f(x)+5063)*(-32*x^4+8*f(x)*x^2-8*x^3-6*f(x)*x-4*x^2+f(x)-2*x-1) ogf] A271005 4.27771 [(32*x^4+8*x^3+4*x^2+2*x+1)/(4*x-1)/(2*x-1) ogf] A271006 5.20418 [-(4*x^11-8*x^9+3*x^8+4*x^7+3*x^6-4*x^5-4*x^4-20*x^3-x^2-8*x-1)/(x+1)^3/(x-1)^4 ogf] A271007 5.40499 [-(4*x^10-8*x^8+3*x^7+4*x^6+3*x^5-3*x^4-3*x^3-22*x^2-3*x-7)/(x-1)^2/(x+1)^3 ogf] A271017 2.85335 [{-a(n+3)+5*a(n+2)-4*a(n+1),a(0)=1,a(1)=5,a(2)=41} ogf] A271017 3.1945 [(57*f(x)-32)*(4*f(x)*x^2-5*f(x)*x-20*x^2+f(x)-1) ogf] A271017 5.87790 [(20*x^2+1)/(4*x-1)/(x-1) ogf] A271027 10.9722 [-(-7523281*x-14846339)/(-7523281*x^2+3861752*x+3661529) lgdogf] A271027 15.2071 [(7523281*x+3661529)/(x-1)^2 ogf] A271027 7.34581 [(22369620*f(x)+138506769353941)*(f(x)*x^2-2*f(x)*x+f(x)-7523281*x-3661529) ogf] A271027 9.12427 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3661529,a(1)=14846339} ogf] A271035 14.3683 [-(6*x+36)/(x^2+4*x-5) lgdogf] A271035 4.51313 [{(-5*n-15)*a(n+3)+(44+4*n)*a(n+2)+(7+n)*a(n+1),a(0)=10,a(1)=72,a(2)=294} ogf] A271035 7.82276 [-2*(x+5)/(x-1)^7 ogf] A271036 4.29243 [-2*(x^3+17*x^2+38*x+17)/(x-1)^11 ogf] A271036 7.34482 [-(-8*x^3-156*x^2-414*x-225)/(-x^4-16*x^3-21*x^2+21*x+17) lgdogf] A271040 28.3715 [7/(-x+1) lgdogf] A271040 4.99624 [{(-4+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=10} ogf] A271040 9.68783 [-10*x^6/(x-1)^7 ogf] A271051 7.21485 [-(9*x^8-4*x^7-15*x^6+8*x^5+4*x^4+20*x^3+x^2+8*x+1)/(x+1)^3/(x-1)^3 ogf] A271052 5.73386 [(9*x^8-4*x^7-15*x^6+8*x^5+4*x^4+20*x^3+x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A271053 6.19492 [(9*x^7-4*x^6-15*x^5+7*x^4+3*x^3+22*x^2+3*x+7)/(x-1)^2/(x+1)^3 ogf] A271054 7.65968 [(9*x^7-4*x^6-15*x^5+7*x^4-21*x^3-2*x^2-5*x-1)/(x+1)^3/(x-1)^3 ogf] A271055 2.07944 [-(4116*f(x)+6338095)*(8*f(x)*x^3-72*x^4-14*f(x)*x^2+22*x^3+7*f(x)*x+15*x^2-f(x)-2*x+1) ogf] A271055 3.69679 [(72*x^4-22*x^3-15*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A271056 6.07364 [-(9*x^7-4*x^6-15*x^5+7*x^4-21*x^3-2*x^2-5*x-1)/(x+1)^3/(x-1)^4 ogf] A271057 6.60751 [-(9*x^6-4*x^5-14*x^4+8*x^3-23*x^2-4*x-4)/(x-1)^2/(x+1)^3 ogf] A271060 9.99495 [-(x^4+24*x^3-2*x^2+8*x+1)/(x+1)^3/(x-1)^3 ogf] A271061 2.90718 [{-a(n+3)+6*a(n+2)-8*a(n+1),a(0)=1,a(1)=8,a(2)=48} ogf] A271061 4.21746 [-8*f(x)*x^2+6*f(x)*x+8*x^2-f(x)+2*x+1 ogf] A271061 5.64981 [(8*x^2+2*x+1)/(4*x-1)/(2*x-1) ogf] A271062 7.45402 [(x^4+24*x^3-2*x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A271064 7.59995 [-(x^5-x^4-74*x^3+26*x^2-87*x+7)/(x^6-27*x^4+19*x^2+7) lgdogf] A271064 8.99018 [-(x^4-26*x^2-7)/(x-1)^2/(x+1)^3 ogf] A271091 7.73194 [(5*x^7-4*x^6-7*x^5+7*x^4-25*x^3-2*x^2-5*x-1)/(x+1)^3/(x-1)^3 ogf] A271092 2.10873 [(272556*f(x)-21145859)*(8*f(x)*x^3-40*x^4-14*f(x)*x^2-2*x^3+7*f(x)*x+19*x^2-f(x)-2*x+1) ogf] A271092 3.74300 [(40*x^4+2*x^3-19*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A271093 6.11897 [-(5*x^7-4*x^6-7*x^5+7*x^4-25*x^3-2*x^2-5*x-1)/(x+1)^3/(x-1)^4 ogf] A271094 6.66758 [-(5*x^6-4*x^5-6*x^4+8*x^3-27*x^2-4*x-4)/(x-1)^2/(x+1)^3 ogf] A271113 8.18393 [(x+1)*(x^35-x^34+x^28-x^27+x^24-x^23+x^22-x^21+x^19-x^18+x^15-x^14+x^13-x^12+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A271114 14.5981 [-(-5*x-7)/(-x^3-2*x^2+x+2) lgdogf] A271114 15.4244 [(x+2)*(x+1)/(x-1)^2 ogf] A271114 7.93684 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=2,a(1)=7,a(2)=13} ogf] A271114 8.60522 [(12*f(x)+25)*(f(x)*x^2-2*f(x)*x-x^2+f(x)-3*x-2) ogf] A271115 4.85888 [(x+1)*(x^4+50048*x^3+410874753*x^2+50048*x+1)/(x^6-80640398*x^3+1) ogf] A271144 4.27988 [(19336670962*f(x)+82059508162833601)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+277367*x^3-4*f(x)*x-805149*x^2+f(x)+778233*x-250703) ogf] A271144 8.07441 [-(277367*x^3-805149*x^2+778233*x-250703)/(x-1)^4 ogf] A271168 2.07071 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A271176 4.35925 [-(575*f(x)-3672)*(2*f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2+4*x^3-5*f(x)*x-7*x^2+f(x)+4*x-1) ogf] A271176 8.26558 [-(x-1)*(4*x^2-3*x+1)/(2*x-1)/(x^3-2*x^2+3*x-1) ogf] A271180 7.34517 [(x-1)*(4*x^2-3*x+1)/(x^2-3*x+1)/(x^4-x^3+2*x-1) ogf] A271197 4.50956 [-6*f(x)^2*x^4+37*f(x)^2*x^3-12*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+6*f(x)*x-f(x)+1 ogf] A271208 7.05383 [(3*x^5+17*x^4+82*x^3+12*x^2+7*x-1)/(x-1)^6 ogf] A271209 7.05383 [(x+1)*(x^4+26*x^3+36*x^2-4*x+1)/(x-1)^6 ogf] A271212 3.84008 [{(2*n^2+2*n)*a(n)+(4*n^2+13*n+9)*a(n+1)+(2*n^2+10*n+14)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A271220 11.304 [-(401*f(x)-1680)*(f(x)*x+1170*x^2-f(x)+60*x+6) ogf] A271220 11.3040 [{-a(n+3)+a(n+2),a(0)=6,a(1)=66,a(2)=1236} ogf] A271220 13.6268 [-(195*x^2-390*x-11)/(-195*x^3+185*x^2+9*x+1) lgdogf] A271220 20.3011 [-6*(195*x^2+10*x+1)/(x-1) ogf] A271231 5.40138 [-(-4*x^23+x^21-3*x^19+2*x^17-2*x^15+x^13-6*x^11+x^9-2*x^7+2*x^5-3*x^3+x)/(x^24-1) ogf_with_Euler_transform] A271254 2.15424 [(13452*f(x)-560587)*(8*f(x)*x^3+24*x^4-14*f(x)*x^2-2*x^3+7*f(x)*x+15*x^2-f(x)-2*x+1) ogf] A271254 3.74300 [-(24*x^4-2*x^3+15*x^2-2*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A271255 5.43008 [(4*x^10-8*x^8+3*x^7+4*x^6+3*x^5-3*x^4+21*x^3+2*x^2+5*x+1)/(x+1)^3/(x-1)^4 ogf] A271256 5.76121 [(4*x^9-8*x^7+3*x^6+4*x^5+2*x^4-4*x^3+23*x^2+4*x+4)/(x-1)^2/(x+1)^3 ogf] A271266 7.69014 [{(n^2+4*n+25)*a(n+1)-a(n+2),a(0)=1,a(1)=22} ogf] A271268 9.41748 [-2*(603*x^5+8556*x^4+8572*x^3+832*x^2+44*x+4)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A271286 2.31413 [(203*f(x)-7353)*(8*f(x)*x^3-14*f(x)*x^2-32*x^3+7*f(x)*x+26*x^2-f(x)-3*x+1) ogf] A271286 4.08188 [(32*x^3-26*x^2+3*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A271318 7.64621 [3*f(x)^2*x^4+3*f(x)^2*x^2-2*f(x)*x^2-f(x)^2+2*f(x)-1 ogf] A271324 12.1457 [-x*(x^3-2*x^2-2*x-2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A271346 9.03197 [2*(x^2+1)*(2*x^4+x^3-x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A271357 13.8236 [-(x^2+6*x-10)/(x^3-8*x+3) lgdogf] A271357 17.5100 [(x+3)/(x^2-3*x+1) ogf] A271357 9.26997 [(6*f(x)+7)*(f(x)*x^2-3*f(x)*x+f(x)-x-3) ogf] A271357 9.49335 [{-a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=10} ogf] A271358 11.2083 [-(x^2+8*x-13)/(x^3+x^2-11*x+4) lgdogf] A271358 16.4388 [(x+4)/(x^2-3*x+1) ogf] A271358 8.50287 [(31*f(x)+45)*(f(x)*x^2-3*f(x)*x+f(x)-x-4) ogf] A271358 8.91263 [{-a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=13} ogf] A271359 11.1902 [-(x^2+10*x-16)/(x^3+2*x^2-14*x+5) lgdogf] A271359 16.6610 [(x+5)/(x^2-3*x+1) ogf] A271359 8.61777 [(19*f(x)+33)*(f(x)*x^2-3*f(x)*x+f(x)-x-5) ogf] A271359 9.03307 [{-a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=16} ogf] A271378 10.4674 [{a(n+3)-a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A271378 16.1198 [-(25*x^2+5*x+1)/(x-1)/(x^2+x+1) ogf] A271378 9.82916 [-(2*f(x)+123)*(f(x)*x^3+25*x^2-f(x)+5*x+1) ogf] A271388 12.3621 [-x*(2*x^2-4*x+1)/(x^2+4*x-1)/(x-1)^2 ogf] A271388 4.58089 [{(-n-4)*a(n+1)+(-3*n-13)*a(n+2)+(5*n+16)*a(n+3)+(-n-3)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A271388 5.52468 [-(30*f(x)+23)*(f(x)*x^4+2*f(x)*x^3-8*f(x)*x^2+2*x^3+6*f(x)*x-4*x^2-f(x)+x) ogf] A271388 9.02436 [-(4*x^4-4*x^3-16*x^2+10*x-2)/(2*x^5+2*x^4-21*x^3+25*x^2-9*x+1) lgdogf] A271389 10.7395 [-(4*x^3+10*x^2+4*x-6)/(x^4+2*x^3-2*x^2-2*x+1) lgdogf] A271389 11.9165 [(x+1)*x/(x^2+2*x-1)/(x-1)^3 ogf] A271389 3.73348 [{(n^2+8*n+16)*a(n+1)+(n^2+10*n+23)*a(n+2)+(-3*n^2-20*n-34)*a(n+3)+(n^2+6*n+9)*a(n+4),a(0)=0,a(1)=1,a(2)=6,a(3)=22} ogf] A271391 10.0859 [-(x^5+x^4+6*x^3+2*x^2+x+1)/(x+1)^3/(x-1)^3 ogf] A271427 13.2328 [-7*f(x)*x^2-6*f(x)*x+f(x)-7*x ogf] A271427 15.9334 [-(-14*x-6)/(-7*x^2-6*x+1) lgdogf] A271427 21.1010 [-7*x/(x+1)/(7*x-1) ogf] A271427 9.63873 [{-a(n+2)+6*a(n+1)+7*a(n),a(0)=0,a(1)=7} ogf] A271476 3.33438 [{(6*n^2+42*n+72)*a(n+1)+(-4*n^2-19*n-12)*a(n+2)+(-2*n^2-16*n-40)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=10,a(2)=75,a(3)=628} ogf] A271476 8.33595 [-(8*x^4+12*x^3-26*x^2+5*x+10)/(-8*x^4-4*x^3+14*x^2-3*x-1) lgdegf] A271478 14.0341 [-(3*x^2+16*x+1)/(x^3+4*x^2-x-4) lgdogf] A271478 17.2116 [x*(x+4)/(x-1)^2/(x+1)^2 ogf] A271478 4.63053 [{(-12-4*n)*a(n+4)+(-1-n)*a(n+3)+(20+4*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=4,a(2)=1,a(3)=8} ogf] A271478 9.50222 [-(60*f(x)-481)*(f(x)*x^4-2*f(x)*x^2-x^2+f(x)-4*x) ogf] A271481 3.37002 [(2*f(x)*x-f(x)+1)^2 ogf] A271484 10.9782 [x^5*(x^5+x^4+x^2+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A271485 9.90285 [-(x+1)*(x^2+1)*(x^2-x-1)/(x^6-x^4-2*x^2+1) ogf] A271487 5.98468 [-(x+1)*(x^8+x^6+2*x^4+2*x^2+x+1)/(x^9+2*x^6+2*x^3-1) ogf] A271489 5.21601 [(x^13-x^10-x^8-x^7-x^6-x^5-x^4-2*x^3-3*x^2-2*x-1)/(x^9+x^6+2*x^3-1) ogf] A271494 10.8186 [-(-512*x^2-64*x-20)/(-512*x^3-96*x^2+12*x+1) lgdogf] A271494 16.5732 [-(16*x+1)/(4*x+1)/(8*x-1) ogf] A271494 8.85162 [(9*f(x)+16)*(32*f(x)*x^2+4*f(x)*x-f(x)+16*x+1) ogf] A271494 9.27312 [{a(n+2)-4*a(n+1)-32*a(n),a(0)=1,a(1)=20} ogf] A271508 10.0634 [-(6*x^3+12*x^2+18*x+4)/(6*x^4+3*x^3-5*x^2-3*x-1) lgdogf] A271508 13.5278 [(6*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A271508 6.93443 [-(12*f(x)+1067)*(f(x)*x^3-f(x)*x^2-f(x)*x-6*x^2+f(x)-3*x-1) ogf] A271508 7.30263 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=11} ogf] A271527 10.3538 [-(1001*x-2)/(1000*x-1)/(x-1) ogf] A271527 5.17689 [-(998001*f(x)-994001)*(1000*f(x)*x^2-1001*f(x)*x+f(x)+1001*x-2) ogf] A271527 6.14401 [{a(n+2)-1001*a(n+1)+1000*a(n),a(0)=2,a(1)=1001} ogf] A271528 10.2502 [-6*x*(10*x+1)/(10*x-1)/(100*x-1)/(x-1) ogf] A271528 5.59101 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=6,a(2)=726} ogf] A271528 5.73315 [(121*f(x)+6)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+60*x^2-f(x)+6*x) ogf] A271528 7.19694 [-(-20000*x^3+8100*x^2+2220*x-121)/(-10000*x^4+10100*x^3-101*x+1) lgdogf] A271532 11.9851 [(x^2-28*x+1)/(x+1)^4 ogf] A271532 12.3376 [-(-2*x^2+86*x-32)/(-x^3+27*x^2+27*x-1) lgdogf] A271532 4.07260 [{(-n-4)*a(n+4)+(49+27*n)*a(n+3)+(140+27*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1,a(1)=-32,a(2)=123,a(3)=-304} ogf] A271532 5.95004 [-(4165*f(x)+76887)*(f(x)*x^4+4*f(x)*x^3+6*f(x)*x^2+4*f(x)*x-x^2+f(x)+28*x-1) ogf] A271534 6.45588 [[2] ogf_with_Euler_transform] A271535 6.61378 [-x*(x^4+18*x^3+42*x^2+18*x+1)/(x-1)^7 ogf] A271535 7.48730 [-(-3*x^4-76*x^3-264*x^2-192*x-25)/(-x^5-17*x^4-24*x^3+24*x^2+17*x+1) lgdogf] A271566 7.69040 [(x^7+2*x^6-x^5-3*x^4-3*x^3+x^2+3*x+2)/(x^2+x+1)^2/(x-1)^2 ogf] A271567 15.5205 [-(-55*x-17)/(-11*x^2+10*x+1) lgdogf] A271567 5.20686 [{(n+3)*a(n+3)+(3+10*n)*a(n+2)+(-66-11*n)*a(n+1),a(0)=1,a(1)=17,a(2)=87} ogf] A271567 9.96375 [(11*x+1)/(x-1)^6 ogf] A271578 10.0447 [-2*(x^12-x^11+x^4+x^3+57*x-60)/(x-1)^2 ogf] A271593 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/3*Pi)*Pi^(1/2)*2^(5/8)*3^(1/2)/GAMMA(2/3)/GAMMA(3/4)*GAMMA(11/12)*(3^(1/2)-1) A271621 7.14939 [(4*x^8+2*x^7-x^6-2*x^5+x^4-3*x^3-2*x^2-x-2)/(x-1) ogf] A271622 7.21367 [f(x)^2*x^3+f(x)^2*x-f(x)^2-f(x)*x+2*f(x)-1 ogf] A271624 15.0210 [-(-2*x^2-2*x-2)/(-2*x^3+3*x^2-2*x+1) lgdogf] A271624 15.7597 [-2*(2*x^2-x+1)/(x-1)^3 ogf] A271624 8.50747 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=10} ogf] A271624 8.50748 [(38*f(x)-31)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-2*x+2) ogf] A271625 14.6595 [-(-3*x^2+2*x+13)/(-3*x^3+7*x^2-x-3) lgdogf] A271625 15.6208 [(3*x^2-4*x-3)/(x-1)^3 ogf] A271625 8.2144 [(121*f(x)-1623)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+4*x+3) ogf] A271625 8.35851 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=13,a(2)=27} ogf] A271636 10.3262 [4*x*(7*x^2+10*x+7)/(x-1)^4 ogf] A271636 11.7133 [-(-14*x^2-44*x-38)/(-7*x^3-3*x^2+3*x+7) lgdogf] A271636 3.84701 [{(21+7*n)*a(n+4)+(-32+3*n)*a(n+3)+(-47-3*n)*a(n+2)+(-14-7*n)*a(n+1),a(0)=0,a(1)=28,a(2)=152,a(3)=468} ogf] A271636 5.56589 [(492*f(x)+9545)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-28*x^3-4*f(x)*x-40*x^2+f(x)-28*x) ogf] A271638 10.8607 [(x^2+4*x+1)/(2*x-1)^2/(x-1)^2 ogf] A271638 5.46887 [(232466*f(x)+377961)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2-6*f(x)*x-x^2+f(x)-4*x-1) ogf] A271638 9.40380 [-(4*x^3+24*x^2-6*x-10)/(2*x^4+5*x^3-9*x^2+x+1) lgdogf] A271648 3.70925 [-(x^8-22*x^6+137*x^5+1531*x^4+4378*x^3+1572*x^2+77*x+6)/(x-1)^7 ogf] A271649 15.4256 [-4*(x^2-x+1)/(x-1)^3 ogf] A271649 15.6826 [-(-x^2-2)/(-x^3+2*x^2-2*x+1) lgdogf] A271649 28.3771 [-x^5+x^2+x+2 ogf_with_Euler_transform] A271649 8.32707 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=8,a(2)=16} ogf] A271649 8.40142 [(3*f(x)+20)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-4*x+4) ogf] A271662 17.6124 [-(-8*x-10)/(-2*x^2+x+1) lgdogf] A271662 5.64059 [{(n+3)*a(n+3)+(-8+n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=10,a(2)=49} ogf] A271662 9.80693 [(2*x+1)^2/(x-1)^6 ogf] A271663 12.9438 [-(-8*x^2-19*x-9)/(-2*x^3-x^2+2*x+1) lgdogf] A271663 4.18579 [{(n+4)*a(n+4)+(-3+2*n)*a(n+3)+(-21-n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=9,a(2)=41,a(3)=131} ogf] A271663 9.56073 [(x+1)*(2*x+1)/(x-1)^6 ogf] A271675 10.5383 [-(2*x^4+x^3-9*x^2-23*x-7)/(x^5-4*x^3-4*x^2+3*x+4) lgdogf] A271675 11.5791 [x*(x^3-3*x-4)/(x+1)^2/(x-1)^3 ogf] A271675 4.78524 [{(n+5)*a(n+1)+(-n-5)*a(n+2)+(-n-3)*a(n+3)+(n+3)*a(n+4),a(0)=0,a(1)=4,a(2)=7,a(3)=15} ogf] A271713 10.9868 [-(2*x^4+x^3+x+2)/(x+1)^2/(x-1)^3 ogf] A271713 8.89410 [-(-2*x^5-4*x^4-9*x^3-7*x^2-11*x-3)/(-2*x^6-x^5+2*x^4-2*x^2+x+2) lgdogf] A271722 5.97977 [-(x^8-x^6+x^5-x^3+x^2-1)/(x^10+x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A271723 10.0417 [-(3*x^4+x^3-2*x^2+x+3)/(x+1)^2/(x-1)^3 ogf] A271723 8.89410 [-(-3*x^5-5*x^4-7*x^3-5*x^2-12*x-4)/(-3*x^6-x^5+5*x^4-5*x^2+x+3) lgdogf] A271740 14.0941 [-(-2*x^2-6*x-10)/(-2*x^3+x^2-2*x+3) lgdogf] A271740 15.0183 [-(2*x^2+x+3)/(x-1)^3 ogf] A271740 7.93626 [(3996*f(x)-6907)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)-3*x+2) ogf] A271740 8.03611 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=10,a(2)=23} ogf] A271743 10.4531 [(3*x-2)*(2*x^2-15*x+5)/(2*x-1)/(3*x-1)/(x-1) ogf] A271743 5.56988 [{-a(n+4)+6*a(n+3)-11*a(n+2)+6*a(n+1),a(0)=10,a(1)=15,a(2)=29,a(3)=63} ogf] A271743 5.86981 [-(14*f(x)-361)*(6*f(x)*x^3-11*f(x)*x^2-6*x^3+6*f(x)*x+49*x^2-f(x)-45*x+10) ogf] A271744 4.43318 [-(3014*f(x)-4221)*(24*f(x)*x^4-50*f(x)*x^3-24*x^4+35*f(x)*x^2+460*x^3-10*f(x)*x-599*x^2+f(x)+241*x-30) ogf] A271744 7.63239 [(24*x^4-460*x^3+599*x^2-241*x+30)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A271745 5.64886 [2*(60*x^5-3174*x^4+5210*x^3-2891*x^2+655*x-52)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A271746 4.67619 [(720*x^6-122388*x^5+235852*x^4-161681*x^3+50632*x^2-7381*x+406)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A271747 3.82151 [(5040*x^7-3145476*x^6+6799268*x^5-5424029*x^4+2104109*x^3-426701*x^2+43463*x-1754)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A271751 25.4303 [x^9-2*x^4+2 ogf_with_Euler_transform] A271751 9.12867 [-x*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A271771 4.96575 [-(1988*f(x)-36663)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+2*x^3-6*f(x)*x-x^2+f(x)+x-1) ogf] A271771 8.46435 [-(-4*x^4-2*x^3+9*x-5)/(-4*x^5+8*x^4-7*x^3+6*x^2-4*x+1) lgdogf] A271771 9.42865 [-(2*x^3-x^2+x-1)/(2*x-1)^2/(x-1)^2 ogf] A271779 10.2786 [-(7*x^3-27*x^2+25*x-11)/(x-1)^4 ogf] A271779 3.93439 [{(7429*n^2+41499*n+53282)*a(n+1)+(-11630*n^2-44636*n-28616)*a(n+2)+(4201*n^2+12821*n+654)*a(n+3),a(0)=11,a(1)=19,a(2)=37} ogf] A271779 5.37443 [-(24921*f(x)+189682)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+7*x^3-4*f(x)*x-27*x^2+f(x)+25*x-11) ogf] A271779 9.45157 [-(-7*x^3+33*x^2-21*x+19)/(-7*x^4+34*x^3-52*x^2+36*x-11) lgdogf] A271785 10.5051 [-x*(2*x^2+2*x-3)/(x^2+x-1)^2 ogf] A271785 5.47766 [-(61*f(x)-336)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x+2*x^2+f(x)-3*x) ogf] A271785 9.58591 [-(-4*x^3-6*x^2+6*x+4)/(-2*x^4-4*x^3+3*x^2+5*x-3) lgdogf] A271786 10.0753 [-2*(x-1)*(2*x^2+4*x+1)/(x^2+x-1)^2 ogf] A271786 5.54142 [(41*f(x)-746)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+4*x^3-2*f(x)*x+4*x^2+f(x)-6*x-2) ogf] A271786 8.08124 [-(-2*x^4-2*x^3+3*x^2+3*x+5)/(-2*x^5-4*x^4+3*x^3+6*x^2-2*x-1) lgdogf] A271800 6.93861 [-x*(x^8+x^7+x^6+x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A271823 4.33560 [{(-12*n^2-6*n+6)*a(n)+(7*n^2+21*n+14)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=4,a(1)=0,a(2)=2} ogf] A271823 7.35737 [-4*f(x)^2*x^2+f(x)^2*x+16*f(x)*x^2-9*x^3+2*x^2-f(x)-16*x+4 ogf] A271827 8.65832 [(x^2-x+1)*(x^3-x^2+1)/(x-1)/(x^3-x^2+2*x-1) ogf] A271828 10.5094 [-(12*x^3+62*x^2+20*x+2)/(12*x^4+x^3-15*x^2+3*x-1) lgdogf] A271828 11.3076 [(12*x^3+13*x^2-2*x+1)/(x-1)^4 ogf] A271828 4.46652 [{(-1855*n^2-7907*n-8394)*a(n+1)+(1754*n^2+1252*n-5076)*a(n+2)+(101*n^2+787*n+1452)*a(n+3),a(0)=1,a(1)=2,a(2)=15} ogf] A271828 6.20349 [(844*f(x)+4571)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-12*x^3-4*f(x)*x-13*x^2+f(x)+2*x-1) ogf] A271830 10.1670 [(x^4+3*x^2-4*x+3)/(x-1)^2/(x^2+x+1)/(x^2-x+1) ogf] A271832 24.7308 [x^11-2*x^5+2 ogf_with_Euler_transform] A271832 8.35816 [-x*(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)/(x^2+1)/(x^4-x^2+1) ogf] A271833 9.36168 [(2*x^7+2*x^6+2*x^5-5*x^4+2*x^3+2*x^2+2*x+1)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A271859 5.86458 [-x*(x^10+x^9+x^8+x^7+x^6-x^5-x^4-x^3-x^2-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A271893 14.9993 [-(2*x+1)*(x-1)/(6*x^3-4*x^2-2*x+1) ogf] A271893 8.16923 [(7*f(x)+13)*(6*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-x-1) ogf] A271893 8.16924 [{a(n+3)-2*a(n+2)-4*a(n+1)+6*a(n),a(0)=1,a(1)=3,a(2)=8} ogf] A271893 9.05896 [-(-12*x^4+12*x^3+10*x^2-4*x-3)/(-12*x^5+14*x^4+6*x^3-8*x^2-x+1) lgdogf] A271894 12.0892 [-(3*x^2-x-1)/(6*x^3-4*x^2-2*x+1) ogf] A271894 6.19696 [-(472*f(x)+441)*(6*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-x-1) ogf] A271894 6.58428 [{a(n+3)-2*a(n+2)-4*a(n+1)+6*a(n),a(0)=1,a(1)=3,a(2)=7} ogf] A271894 7.37439 [-(-18*x^4+12*x^3+8*x^2-2*x-3)/(-18*x^5+18*x^4+8*x^3-9*x^2-x+1) lgdogf] A271895 13.7241 [-(2*x^2-1)/(6*x^3-4*x^2-2*x+1) ogf] A271895 6.92279 [-(19*f(x)+13)*(6*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-1) ogf] A271895 6.98461 [{-a(n+3)+2*a(n+2)+4*a(n+1)-6*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A271895 8.50300 [-(-12*x^4+14*x^2-4*x-2)/(-12*x^5+8*x^4+10*x^3-6*x^2-2*x+1) lgdogf] A271896 11.0390 [-(-4*x^3+12*x^2-6*x+2)/(-4*x^4+9*x^3-9*x^2+5*x-1) lgdogf] A271896 14.6584 [-(x-1)^2/(4*x^3-5*x^2+4*x-1) ogf] A271896 7.98358 [{a(n+3)-4*a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A271896 8.05549 [(f(x)+3)*(4*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A271897 14.9993 [-(3*x^2-2*x+1)/(4*x^3-5*x^2+4*x-1) ogf] A271897 8.16924 [{a(n+3)-4*a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=6} ogf] A271897 8.24283 [(f(x)-1)*(4*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A271897 8.88306 [-(-12*x^4+16*x^3-10*x^2+4*x-2)/(-12*x^5+23*x^4-26*x^3+16*x^2-6*x+1) lgdogf] A271898 15.4228 [-(x^2+1)/(4*x^3-5*x^2+4*x-1) ogf] A271898 7.77965 [{a(n+3)-4*a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=4,a(2)=12} ogf] A271898 7.91983 [-(f(x)+1)*(4*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+x^2-f(x)+1) ogf] A271898 9.98978 [-(4*x^4+8*x^2-8*x+4)/(4*x^5-5*x^4+8*x^3-6*x^2+4*x-1) lgdogf] A271899 6.38467 [-(9*x^4+33*x^3+36*x^2+9*x+1)/(x-1)^9 ogf] A271899 8.13142 [-(45*x^4+234*x^3+351*x^2+144*x+18)/(9*x^5+24*x^4+3*x^3-27*x^2-8*x-1) lgdogf] A271900 16.2921 [x^16+x^2*(x^2+1) ogf_with_Euler_transform] A271900 8.91525 [-1/(x^4+x^3+x^2+x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A271902 4.25429 [(5*x^12-6*x^10-26*x^9-7*x^8-68*x^7-88*x^6-96*x^5-61*x^4-44*x^3-18*x^2-6*x-1)/(x^2+x+1)/(x^2+1)^2/(x+1)^3/(x-1)^3 ogf] A271903 3.09363 [-(16*x^5+64*x^4-6*x^3+9*x^2-x+1)/(x-1)/(4*x-1)/(2*x-1)/(x+1) ogf] A271904 3.88481 [-(5*x^12-6*x^10-26*x^9-7*x^8-68*x^7-88*x^6-96*x^5-61*x^4-44*x^3-18*x^2-6*x-1)/(x+1)^3/(x^2+x+1)/(x^2+1)^2/(x-1)^4 ogf] A271911 10.2732 [-(-4*x^3-x^2+6*x+5)/(-2*x^4+x^3+4*x^2-x-2) lgdogf] A271911 12.6440 [2*x*(2*x^2-x-2)/(x+1)/(x-1)^3 ogf] A271911 6.9649 [(25*f(x)-882)*(f(x)*x^4-2*f(x)*x^3-4*x^3+2*f(x)*x+2*x^2-f(x)+4*x) ogf] A271915 4.20775 [4*x*(x^16-x^14+2*x^10+2*x^9-x^8-x^7+5*x^6+6*x^5+6*x^4+x^3-8*x^2-15*x-6)/(x+1)/(x-1)^3 ogf] A271937 10.2042 [-(-6*x^3-15*x^2-16*x-5)/(-3*x^4-3*x^3+2*x^2+3*x+1) lgdogf] A271937 13.7171 [-(3*x^2+3*x+1)/(x+1)/(x-1)^3 ogf] A271937 7.03144 [(9212*f(x)-117529)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+3*x^2-f(x)+3*x+1) ogf] A271939 12.9623 [-(48*x-11)/(24*x^2-11*x+1) lgdogf] A271939 19.2583 [8/(8*x-1)/(3*x-1) ogf] A271939 7.83767 [(73*f(x)+384)*(24*f(x)*x^2-11*f(x)*x+f(x)-8) ogf] A271939 7.92987 [{-a(n+2)+11*a(n+1)-24*a(n),a(0)=8,a(1)=88} ogf] A271944 12.9521 [2*(x+1)*x/(x^3-9*x^2-x+1) ogf] A271944 6.65106 [-(f(x)+1)*(f(x)*x^3-9*f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x) ogf] A271944 6.65106 [{-a(n+3)+a(n+2)+9*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=4} ogf] A271944 9.46497 [-(2*x^3-6*x^2-18*x-2)/(x^4-8*x^3-10*x^2+1) lgdogf] A271945 11.7396 [-(-3*x^2+18*x+1)/(-x^3+9*x^2+x-1) lgdogf] A271945 16.9572 [4*x^2/(x^3-9*x^2-x+1) ogf] A271945 6.93704 [{a(n+3)-a(n+2)-9*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A271945 9.42068 [-f(x)*x^3+9*f(x)*x^2+f(x)*x+4*x^2-f(x) ogf] A271970 10.6486 [-(x-1)*(x^3-x^2-1)/(x^5+x^3+x-1) ogf] A271972 12.0819 [-(-21*x^2-14*x+7)/(-21*x^3+5*x^2+x-1) lgdogf] A271972 12.849 [-7*f(x)*x^2+4*f(x)*x-f(x)+3*x+1 ogf] A271972 17.9886 [(3*x+1)/(7*x^2-4*x+1) ogf] A271972 9.87178 [{-a(n+2)+4*a(n+1)-7*a(n),a(0)=1,a(1)=7} ogf] A271994 8.84128 [-(-2*x^5-2*x^4+8*x^3+6*x^2-18*x-8)/(-x^6+4*x^4-7*x^2+4) lgdogf] A271994 9.23864 [2*(x^4-3*x^2+4)/(x+1)^2/(x-1)^4 ogf] A271995 7.54348 [(x^5+x^4-2*x^3-4*x^2+x+7)/(x+1)^2/(x-1)^4 ogf] A271996 8.14098 [2*(x^5-2*x^3-x^2+x+3)/(x+1)^2/(x-1)^4 ogf] A271997 8.14098 [(3*x^5-x^4-6*x^3+3*x+5)/(x+1)^2/(x-1)^4 ogf] A271998 6.90098 [-2*(6*x^5-10*x^4-12*x^3+23*x^2+6*x-15)/(x+1)^2/(x-1)^4 ogf] A271999 6.48655 [(2*x^7-4*x^6-x^5+9*x^4-6*x^3-6*x^2+9*x+1)/(x+1)^2/(x-1)^4 ogf] A272000 7.47490 [(5*x^5-3*x^4-10*x^3+4*x^2+5*x+3)/(x+1)^2/(x-1)^4 ogf] A272007 9.10651 [-(4*x^6-7*x^4+24*x^3+2*x^2+8*x+1)/(x+1)^3/(x-1)^3 ogf] A272009 6.94866 [(4*x^6-7*x^4+24*x^3+2*x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A272010 7.22740 [(4*x^5-x^4-8*x^3+26*x^2+4*x+7)/(x-1)^2/(x+1)^3 ogf] A272039 12.8972 [-(7*x^2+38*x+15)/(7*x^3+5*x^2-11*x-1) lgdogf] A272039 13.9373 [-(7*x^2+12*x+1)/(x-1)^3 ogf] A272039 7.14142 [(17925*f(x)-134341)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+7*x^2-f(x)+12*x+1) ogf] A272039 7.57993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=49} ogf] A272058 8.43209 [-(x^5+x^4+x^3-9*x^2-9*x-3)/(x^6-2*x^4-2*x^3+2*x+1) lgdogf] A272058 8.70410 [x^2*(x^2+x+1)*(x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A272066 6.10703 [729*x*(1000*x^2+220*x+1)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A272067 4.41586 [-6561*x*(100*x+1)*(10000*x^2+3430*x+1)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1)/(10000*x-1) ogf] A272071 10.3000 [-(-2*x^4+5*x^3-11*x^2-3*x-1)/(-x^5+2*x^4-3*x^3+x^2-2*x+3) lgdogf] A272071 15.3708 [x*(x^2-2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A272071 6.12947 [{(n+4)*a(n+1)+a(n+2)+a(n+3)+(-n-3)*a(n+4),a(0)=0,a(1)=3,a(2)=1,a(3)=2} ogf] A272071 8.39582 [(283*f(x)+705)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x+2*x^2+f(x)-3*x) ogf] A272073 13.6180 [3*(x+1)^2/(x^4-4*x^2+1) ogf] A272073 7.84065 [-(142*f(x)+3)*(f(x)*x^4-4*f(x)*x^2-3*x^2+f(x)-6*x-3) ogf] A272073 8.82074 [-(-2*x^4-4*x^3+8*x+2)/(-x^5-x^4+4*x^3+4*x^2-x-1) lgdogf] A272100 10.8121 [-(13*x^3+27*x^2+69*x+19)/(13*x^4+7*x^3-x^2-7*x-12) lgdogf] A272100 14.7594 [(13*x^2+7*x+12)/(x+1)/(x-1)^2 ogf] A272100 7.32159 [-(20608*f(x)+1035913)*(f(x)*x^3-f(x)*x^2-f(x)*x-13*x^2+f(x)-7*x-12) ogf] A272100 8.08557 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=12,a(1)=19,a(2)=44} ogf] A272103 17.4159 [-(-16*x-14)/(-4*x^2+3*x+1) lgdogf] A272103 5.69147 [{(n+3)*a(n+3)+(-8+3*n)*a(n+2)+(-20-4*n)*a(n+1),a(0)=1,a(1)=14,a(2)=85} ogf] A272103 9.78421 [(4*x+1)^2/(x-1)^6 ogf] A272104 22.0729 [[-x^5+2*x^3+x+1] ogf_with_Euler_transform] A272104 9.64952 [-2*x^3*(x^2+x+1)*(x^2-x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A272105 3.01607 [(2*f(x)*x-f(x)-x+1)^3 ogf] A272123 4.88381 [-(2541*f(x)-19501)*(f(x)*x^4+f(x)*x^3-12*f(x)*x^2+3*x^3+7*f(x)*x-2*x^2-f(x)+x) ogf] A272123 6.55698 [-(6*x^5-3*x^4+6*x^2-18*x+5)/(3*x^6+x^5-37*x^4+46*x^3-29*x^2+9*x-1) lgdogf] A272123 9.56965 [-x*(3*x^2-2*x+1)/(x^2-3*x+1)/(x^2+4*x-1) ogf] A272124 7.12402 [-(-3*x^4-176*x^3-738*x^2-480*x-43)/(-3*x^5-79*x^4-82*x^3+126*x^2+37*x+1) lgdogf] A272124 7.77166 [-(3*x^4+82*x^3+164*x^2+38*x+1)/(x-1)^5 ogf] A272125 7.43395 [x*(x^4+18*x^3+42*x^2+18*x+1)/(x-1)^6 ogf] A272125 7.78460 [-(-2*x^4-58*x^3-222*x^2-174*x-24)/(-x^5-17*x^4-24*x^3+24*x^2+17*x+1) lgdogf] A272126 5.08787 [(1768320*f(x)+405858869)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-61*x^3-4*f(x)*x-479*x^2+f(x)-179*x-1) ogf] A272126 8.26779 [-(61*x^3+1141*x^2+1495*x+183)/(61*x^4+418*x^3-300*x^2-178*x-1) lgdogf] A272126 9.67937 [(61*x^3+479*x^2+179*x+1)/(x-1)^4 ogf] A272127 7.10571 [-(1385*x^4+19028*x^3+18270*x^2+1636*x+1)/(x-1)^5 ogf] A272128 5.12165 [(50521*x^5+1073517*x^4+1949762*x^3+540242*x^2+14757*x+1)/(x-1)^6 ogf] A272129 11.1407 [-(-113*x^2-78*x-1)/(-113*x^3+187*x^2-99*x+25) lgdogf] A272129 12.5119 [-(113*x^2-74*x+25)/(x-1)^3 ogf] A272129 6.61197 [-(73*f(x)-2155)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+113*x^2-f(x)-74*x+25) ogf] A272129 7.13396 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=25,a(1)=1,a(2)=41} ogf] A272130 4.98971 [(1126199808*f(x)+33231619493)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-59*x^2+f(x)-27*x-1) ogf] A272130 8.95880 [-(9*x^3+145*x^2+199*x+31)/(9*x^4+50*x^3-32*x^2-26*x-1) lgdogf] A272130 9.97942 [(9*x^3+59*x^2+27*x+1)/(x-1)^4 ogf] A272131 4.67567 [(5997302208*f(x)+3628517868899)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3223*x^3-4*f(x)*x+2201*x^2+f(x)-1709*x+427) ogf] A272131 7.74695 [-(-3223*x^3-5267*x^2-725*x-1)/(-3223*x^4+5424*x^3-3910*x^2+2136*x-427) lgdogf] A272131 8.97942 [(3223*x^3-2201*x^2+1709*x-427)/(x-1)^4 ogf] A272132 6.46050 [-(142049*x^4-72660*x^3+127926*x^2-62324*x+12465)/(x-1)^5 ogf] A272133 4.88718 [(8922919*x^5-1244143*x^4+12594614*x^3-8306446*x^2+3334387*x-555731)/(x-1)^6 ogf] A272134 10.6402 [2*x*(17*x^2+26*x+2)/(x-1)^4 ogf] A272134 11.4002 [-(34*x^2+112*x+34)/(17*x^3+9*x^2-24*x-2) lgdogf] A272134 3.91183 [{(6+2*n)*a(n+4)+(14+24*n)*a(n+3)+(-121-9*n)*a(n+2)+(-34-17*n)*a(n+1),a(0)=0,a(1)=4,a(2)=68,a(3)=282} ogf] A272134 5.39198 [-(34920*f(x)+712147)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-34*x^3-4*f(x)*x-52*x^2+f(x)-4*x) ogf] A272144 12.2091 [-(10*x^2-4)/(2*x^3-x^2-2*x+1) lgdogf] A272144 12.2091 [x^2/(x+1)/(2*x-1)/(x-1)^3 ogf] A272144 4.00407 [{(-2*n-8)*a(n+1)+a(n+2)*n+(2*n+6)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=4} ogf] A272159 5.52044 [-x*(4*x^59+8*x^58+27*x^4+20*x^3+12*x^2+6*x+2)/(12*x^59-8*x^58-27*x^6+34*x^5+x^4-2*x^3-2*x^2-2*x-2) ogf] A272162 7.25641 [-(-x^5+65*x^4+290*x^3+310*x^2+55*x+1)/(-x^6+36*x^5+15*x^4-10*x^3-45*x^2+6*x-1) lgdogf] A272162 7.69810 [-(x^5-35*x^4-50*x^3-40*x^2+5*x-1)/(x-1)^6 ogf] A272199 14.0750 [-(-26*x+2)/(-13*x^2+2*x-1) lgdogf] A272199 23.4583 [1/(13*x^2-2*x+1) ogf] A272199 8.37796 [(29*f(x)-13)*(13*f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A272199 8.47892 [{a(n+2)-2*a(n+1)+13*a(n),a(0)=1,a(1)=2} ogf] A272212 7.45035 [-x^2*(x^2+x+1)*(x^4-2*x^3+4*x^2-2*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A272261 10.8116 [4*(-1/2+1/2*(-4*x+1)^(1/2))/(4*x-1) lgdegf] A272261 3.18868 [{(16+8*n)*a(n+1)+(8*n^2+32*n+24)*a(n+2)+(-4*n^2-32*n-60)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=0,a(2)=4,a(3)=40} ogf] A272263 12.2108 [(6*x^2-2*x+1)/(x-1)/(4*x^2+2*x-1) ogf] A272263 6.59167 [(29*f(x)+43)*(4*f(x)*x^3-2*f(x)*x^2-3*f(x)*x-6*x^2+f(x)+2*x-1) ogf] A272263 6.59168 [{a(n+3)-3*a(n+2)-2*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=11} ogf] A272263 7.16212 [-(-24*x^4+16*x^3-34*x^2+16*x+1)/(-24*x^5+20*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A272266 8.09782 [-(x^6-x^5-x^3+5*x^2+3*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A272267 6.37017 [-(x^10+4*x^7+5*x^6+x^5+12*x^4+3*x^3+5*x^2+4*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A272297 7.90558 [-(65*x^4-230*x^3+450*x^2-230*x+65)/(65*x^5-310*x^4+640*x^3-650*x^2+319*x-64) lgdogf] A272297 8.74986 [-(65*x^4-245*x^3+395*x^2-255*x+64)/(x-1)^5 ogf] A272298 8.44654 [-(325*x^4-1285*x^3+1955*x^2-1295*x+324)/(x-1)^5 ogf] A272299 12.9325 [x*(2*x+1)*(3*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A272303 8.59497 [-2*(x^7-x^6+x^5-x^4+x^3+x^2+54*x-57)/(x-1)^2 ogf] A272305 5.64229 [2*(10*x^19-20*x^18+10*x^17+18*x^11-36*x^10+18*x^9+4*x^7-8*x^6+10*x^5-12*x^4+8*x^3-4*x^2+3)/(x-1)^2 ogf] A272342 10.5798 [{a(n+1)-8*a(n),a(0)=27} ogf] A272342 13.3508 [-8*f(x)*x+f(x)-27 ogf] A272342 20.0261 [8/(-8*x+1) lgdogf] A272342 21.5666 [-27/(8*x-1) ogf] A272352 10.6826 [(6*x^2-15*x+10)/(2*x-1)/(x-1)^3 ogf] A272352 4.89334 [{(-2*n-16)*a(n+1)+(3*n+20)*a(n+2)+(-n-6)*a(n+3),a(0)=10,a(1)=35,a(2)=91} ogf] A272352 5.41762 [(53833*f(x)-181316)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-6*x^2+f(x)+15*x-10) ogf] A272352 8.52211 [-(24*x^3-84*x^2+98*x-35)/(12*x^4-48*x^3+71*x^2-45*x+10) lgdogf] A272357 4.00984 [{(-127*n^2-449*n-390)*a(n+1)+(149*n^2+103*n+474)*a(n+2)+(-22*n^2-74*n-60)*a(n+3),a(0)=0,a(1)=8,a(2)=520} ogf] A272357 7.77417 [-8*x*(62*x^3+192*x^2+60*x+1)/(x-1)^5 ogf] A272357 8.19214 [-(124*x^3+762*x^2+624*x+65)/(62*x^4+130*x^3-132*x^2-59*x-1) lgdogf] A272358 6.17463 [8*x*(1382*x^4+7192*x^3+5097*x^2+502*x+2)/(x-1)^6 ogf] A272361 3.04276 [182*(x+1)/(x-1)^2 ogf] A272361 9.7484 [(8*f(x)+5915)*(f(x)*x^2-2*f(x)*x+f(x)-182*x-182) ogf] A272362 10.7865 [-(x^4+x^3+x^2-x-1)/(x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A272365 12.4125 [-2*(17*x^2-28*x+5)/(x-1)/(x^2-8*x+1) ogf] A272365 6.61998 [(1965*f(x)-1282)*(f(x)*x^3-9*f(x)*x^2+9*f(x)*x+34*x^2-f(x)-56*x+10) ogf] A272365 6.84825 [{-a(n+3)+9*a(n+2)-9*a(n+1)+a(n),a(0)=10,a(1)=34,a(2)=250} ogf] A272365 7.22179 [-(-17*x^4+56*x^3-114*x^2+56*x-17)/(-17*x^5+181*x^4-410*x^3+314*x^2-73*x+5) lgdogf] A272378 10.5248 [x*(x+1)*(17*x+1)/(x-1)^4 ogf] A272378 11.4400 [-(34*x^2+88*x+22)/(17*x^3+x^2-17*x-1) lgdogf] A272378 3.90771 [{(n+3)*a(n+4)+(12+17*n)*a(n+3)+(-89-n)*a(n+2)+(-34-17*n)*a(n+1),a(0)=0,a(1)=1,a(2)=22,a(3)=99} ogf] A272378 5.12569 [-(16440408*f(x)+129108511)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-17*x^3-4*f(x)*x-18*x^2+f(x)-x) ogf] A272379 3.86232 [{(-2874*n^2-8945*n-6394)*a(n+1)+(3396*n^2+1270*n+12236)*a(n+2)+(-522*n^2-1733*n-1378)*a(n+3),a(0)=0,a(1)=1,a(2)=86} ogf] A272379 8.08673 [-(310*x^3+1482*x^2+1002*x+86)/(155*x^4+184*x^3-258*x^2-80*x-1) lgdogf] A272379 8.08673 [-x*(155*x^3+339*x^2+81*x+1)/(x-1)^5 ogf] A272380 6.52439 [x*(2073*x^4+7712*x^3+4278*x^2+336*x+1)/(x-1)^6 ogf] A272397 13.5938 [-(-x^7-x^5-x^2-1)/(-x^9+1) ogf_with_Euler_transform] A272398 7.12188 [-(x^6+x^5+6*x^4+5*x^3+4*x+1)/(x+1)/(x^2+1)^2/(x-1)^3 ogf] A272399 11.6936 [-(10*x^2+70*x+28)/(10*x^3+15*x^2-24*x-1) lgdogf] A272399 12.9929 [-(10*x^2+25*x+1)/(x-1)^3 ogf] A272399 6.82125 [(2512*f(x)-37057)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+25*x+1) ogf] A272399 7.18026 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=28,a(2)=91} ogf] A272417 2.51192 [(1171*f(x)-525)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)+x+1) ogf] A272417 4.74024 [-(2*x^2+x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A272459 8.21819 [-(-3*x^4-14*x^3-34*x^2-22*x-7)/(-x^5-3*x^4-4*x^3+2*x^2+5*x+1) lgdogf] A272459 8.38764 [x*(x^3+3*x^2+5*x+1)/(x+1)^2/(x-1)^4 ogf] A272492 3.28751 [{(n^3+15*n^2+74*n+120)*a(n+1)+(-n^2-11*n-30)*a(n+2)+(-2*n-12)*a(n+3)+2*a(n+4),a(0)=1,a(1)=3,a(2)=18,a(3)=90} ogf] A272492 5.11124 [2*(x^6+6*x^4-16*x^3+6*x^2+4)/(x-1)^3/(x^2-2)^3 egf] A272525 13.1063 [1/(10*x-1)^2/(x-1)^2 ogf] A272525 14.1145 [-(40*x-22)/(10*x^2-11*x+1) lgdogf] A272525 4.67487 [{(-n-3)*a(n+3)+(44+11*n)*a(n+2)+(-50-10*n)*a(n+1),a(0)=1,a(1)=22,a(2)=343} ogf] A272525 5.51845 [(727439*f(x)+18500)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-22*f(x)*x+f(x)-1) ogf] A272549 7.88549 [-x*(x^7-x^6+3*x^5+3*x^4+7*x^3-3*x^2+5*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A272564 6.68091 [(4*x^11-8*x^9+4*x^8+4*x^7-4*x^5-x^4-20*x^3-2*x^2-8*x-1)/(x+1)^3/(x-1)^3 ogf] A272566 5.47989 [-(4*x^11-8*x^9+4*x^8+4*x^7-4*x^5-x^4-20*x^3-2*x^2-8*x-1)/(x+1)^3/(x-1)^4 ogf] A272567 6.13171 [-(4*x^10-8*x^8+4*x^7+4*x^6-3*x^4-22*x^2-4*x-7)/(x-1)^2/(x+1)^3 ogf] A272574 9.09665 [x*(3*x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A272576 8.70350 [x*(3*x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A272582 14.2450 [-(-4*x+14)/(-x^2+4*x-3) lgdegf] A272582 4.10591 [{(-4*n^2-24*n-32)*a(n+1)+(-3*n^2-23*n-48)*a(n+2)+(6+3*n)*a(n+3),a(0)=0,a(1)=9,a(2)=84} ogf] A272582 9.30673 [3*x*(x-3)/(x-1)^5 egf] A272586 2.08436 [-(2388*f(x)-40363)*(8*f(x)*x^3-8*x^4-14*f(x)*x^2-18*x^3+7*f(x)*x+19*x^2-f(x)-2*x+1) ogf] A272586 3.67369 [(8*x^4+18*x^3-19*x^2+2*x-1)/(2*x-1)/(4*x-1)/(x-1) ogf] A272632 12.4284 [-(4*x^3+3*x^2+6*x+4)/(x^4+x^2-1) ogf] A272632 7.54994 [-(206*f(x)+9)*(f(x)*x^4+f(x)*x^2+4*x^3+3*x^2-f(x)+6*x+4) ogf] A272636 13.0864 [-x*(6*x^6+2*x^5+5*x^4+3*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A272638 6.01434 [(10*x^12+5*x^11+5*x^10-6*x^9+3*x^8-x^7-12*x^6-7*x^5-6*x^4-x^3-5*x^2-4*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A272642 10.4961 [(x^4+x^3+x^2-x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A272642 5.94779 [-(f(x)-19)*(f(x)*x^4+2*f(x)*x^3-x^4+2*f(x)*x^2-x^3+f(x)*x-x^2-f(x)+x+1) ogf] A272646 6.72769 [{-2*a(n+1)+(-4*n-9)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=7} ogf] A272647 10.3026 [-(x^6+3*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A272648 5.72488 [-(6*x^7+1)*(x^6+x^5+x^3+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A272651 11.9210 [-4/(-x^3+3*x^2-x-1) lgdogf] A272651 5.14239 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=6} ogf] A272651 5.40746 [-(f(x)+3)*(f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A272651 9.89668 [-(x^2-2*x-1)/(x-1)^2 ogf] A272664 6.73296 [x^2*(x^4-x^3-1)*(x^4-x^2+1)/(x-1)/(x+1) ogf] A272665 10.6988 [-(-4*x^3-6*x^2+2)/(-x^4-2*x^3+2*x-1) lgdogf] A272665 16.1671 [x^2/(x^4+2*x^3-2*x+1) ogf] A272665 5.96326 [{-a(n+4)+2*a(n+3)-2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A272665 8.98169 [f(x)*x^4+2*f(x)*x^3-2*f(x)*x-x^2+f(x) ogf] A272671 8.13888 [(120*x^18-120*x^17+7*x^7+24*x^6-31*x^5+6*x^3+x^2-3*x-6)/(x-1)^3 ogf] A272673 5.31429 [x*(1135*x^21-2160*x^20+1025*x^19+135*x^8-236*x^7+101*x^6+25*x^3-39*x^2+18*x-6)/(x-1)^3 ogf] A272686 5.07502 [f(x)^2*x^3-f(x)*x^4+5*f(x)*x^3-x^4-6*f(x)*x^2+4*x^3+5*f(x)*x-5*x^2-f(x)+3*x ogf] A272687 7.41778 [f(x)^2*x^2+f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x+3*x^2-f(x)-3*x+1 ogf] A272690 14.8153 [-(24*x-1)/(46*x-1)/(2*x-1) ogf] A272690 7.48565 [-(121*f(x)-49)*(92*f(x)*x^2-48*f(x)*x+f(x)+24*x-1) ogf] A272690 8.36631 [{a(n+2)-48*a(n+1)+92*a(n),a(0)=1,a(1)=24} ogf] A272690 9.23553 [-(-2208*x^2+184*x-24)/(-2208*x^3+1244*x^2-72*x+1) lgdogf] A272705 8.73529 [-(9*x^4+4*x^3+6*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A272706 2.3325 [-(f(x)-76)*(8*f(x)*x^3-14*f(x)*x^2+24*x^3+7*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A272706 4.13937 [-(2*x+1)*(12*x^2-4*x+1)/(2*x-1)/(4*x-1)/(x-1) ogf] A272707 7.99344 [(9*x^4+4*x^3+6*x^2+4*x+1)/(x+1)^2/(x-1)^4 ogf] A272708 10.2870 [-(2*x^4+2*x^3+12*x^2+6*x+2)/(2*x^5+x^4-2*x-1) lgdogf] A272708 12.8192 [4*(2*x+1)*(x^2+1)/(x-1)^2/(x+1)^2 ogf] A272708 7.71526 [-(24*f(x)-307)*(f(x)*x^4-2*f(x)*x^2-8*x^3-4*x^2+f(x)-8*x-4) ogf] A272743 2.69261 [-(859*f(x)-47)*(4*f(x)*x^2-4*x^3-5*f(x)*x+4*x^2+f(x)-1) ogf] A272743 4.91284 [(4*x^3-4*x^2+1)/(4*x-1)/(x-1) ogf] A272758 6.29357 [-(152*x^11+144*x^10+128*x^9+64*x^8+36*x^7+32*x^6+27*x^5+16*x^4+9*x^3+8*x^2+4*x+1)/(64*x^11-1) ogf] A272762 2.79950 [-(56*x^4-40*x^3+20*x^2-7*x+1)/(x-1)/(3*x-1)/(4*x-1)/(2*x-1)^2 ogf] A272813 10.0186 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A272813 13.7543 [-f(x)*x^2+2*f(x)*x-f(x)+x ogf] A272813 24.5911 [x/(x-1)^2 ogf] A272813 28.9823 [2/(-x+1) lgdogf] A272813 62.2002 [[2] ogf_with_Euler_transform] A272832 2.85577 [(48*x^6-92*x^5+36*x^4+6*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A272839 3.30219 [(8*x^6-24*x^4+10*x^2-3*x+1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A272850 6.56454 [-(x^4+40*x^3+110*x^2+40*x+1)/(x-1)^5 ogf] A272853 2.7824 [-(10440910686159*f(x)+288421025849)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x-x^2+f(x)-53*x-9) ogf] A272853 3.29251 [{a(n+3)-82*a(n+2)-82*a(n+1)+a(n),a(0)=9,a(1)=791,a(2)=65601} ogf] A272853 6.17345 [(x^2+53*x+9)/(x+1)/(x^2-83*x+1) ogf] A272854 2.96705 [(226074827529*f(x)-6023786108)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x+2*x^2+f(x)+8*x-10) ogf] A272854 3.28583 [{a(n+3)-82*a(n+2)-82*a(n+1)+a(n),a(0)=10,a(1)=812,a(2)=67402} ogf] A272854 6.21228 [-2*(x+5)*(x-1)/(x+1)/(x^2-83*x+1) ogf] A272855 2.96348 [(192569652387*f(x)-3228516226)*(f(x)*x^3-82*f(x)*x^2-82*f(x)*x+2*x^2+f(x)-26*x-12) ogf] A272855 3.27927 [{-a(n+3)+82*a(n+2)+82*a(n+1)-a(n),a(0)=12,a(1)=1010,a(2)=83802} ogf] A272855 6.15494 [-2*(x^2-13*x-6)/(x+1)/(x^2-83*x+1) ogf] A272870 7.47715 [-(-4*x^4+10*x^3+108*x^2+10*x-4)/(-4*x^5+17*x^4+10*x^3-32*x^2+10*x-1) lgdogf] A272870 8.01674 [(4*x^4-13*x^3-23*x^2+9*x-1)/(x-1)^5 ogf] A272871 14.7221 [24*x^2/(x-1)^4 ogf] A272871 28.3926 [4/(-x+1) lgdogf] A272871 60.7198 [[4] ogf_with_Euler_transform] A272871 7.42984 [{n*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=24} ogf] A272871 7.94993 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+4*f(x)*x+24*x^2-f(x) ogf] A272912 14.2799 [(x^5-x-1)/(x^4+x^2-1) ogf] A272912 8.75222 [(3*f(x)-1)*(f(x)*x^4-x^5+f(x)*x^2-f(x)+x+1) ogf] A272913 3.42828 [{(-512*n^2-1536*n-1152)*a(n+1)+(72*n^2+384*n+600)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=6912} ogf] A272915 9.65031 [x*(2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A272921 2.90985 [(32*x^5-32*x^4-16*x^3+14*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A272931 11.3502 [-(4*x^2-16*x+1)/(4*x^3-9*x^2+3*x-2) lgdogf] A272931 16.3948 [-(x-2)/(4*x^2-x+1) ogf] A272931 8.38367 [(90*f(x)-179)*(4*f(x)*x^2-f(x)*x+f(x)+x-2) ogf] A272931 8.99712 [{a(n+2)-a(n+1)+4*a(n),a(0)=2,a(1)=1} ogf] A272952 6.75190 [-(x^5+x^4-3*x^3-2*x^2+4*x+2)/(x^2+x-1)/(x-1)^2/(x+1)^2 ogf] A272959 2.07944 [(f(x)-1)^2 ogf] A272975 12.1416 [-(10*x^2+26*x+12)/(5*x^3+7*x^2-5*x-7) lgdogf] A272975 14.2717 [x*(5*x+7)/(x+1)/(x-1)^2 ogf] A272975 7.19901 [(4128*f(x)+6941)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-7*x) ogf] A272975 7.26329 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=12} ogf] A272978 10.5559 [-(x^32-x^31+x^27-x^26+x^6-x^5-1)/(x-1)^2 ogf] A272982 4.61271 [-(360*x^6-2100*x^5+5106*x^4-6615*x^3+4795*x^2-1820*x+280)/(3*x-1)/(2*x-1)^3/(x-1)^5 ogf] A272985 15.8248 [(32*x^8+48*x^7-1)/(2*x-1) ogf] A272985 8.67811 [-(-448*x^8-320*x^7+336*x^6-2)/(64*x^9+64*x^8-48*x^7-2*x+1) lgdogf] A273050 12.6237 [x*(6*x+5)/(x-1)/(x+1)/(8*x^2-1) ogf] A273050 6.82709 [-(3903*f(x)-799)*(8*f(x)*x^4-9*f(x)*x^2-6*x^2+f(x)-5*x) ogf] A273052 10.6351 [-(x^2+2*x-17)/(x^3-15*x^2-15*x+1) lgdogf] A273052 15.4903 [2*(x+1)/(x^2-16*x+1) ogf] A273052 8.00623 [(135*f(x)+19)*(f(x)*x^2-16*f(x)*x+f(x)-2*x-2) ogf] A273052 8.48279 [{-a(n+2)+16*a(n+1)-a(n),a(0)=2,a(1)=34} ogf] A273053 12.3642 [-f(x)*x^2+8*f(x)*x-f(x)+4*x ogf] A273053 15.1976 [-(2*x-8)/(x^2-8*x+1) lgdogf] A273053 19.7158 [4*x/(x^2-8*x+1) ogf] A273053 9.00599 [{a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=4} ogf] A273054 5.27608 [-(1758260790*f(x)-557380049)*(f(x)*x^4-340*f(x)*x^2-4*x^3-22*x^2+f(x)-22*x-4) ogf] A273054 9.63457 [2*(x+1)*(2*x^2+9*x+2)/(x^4-340*x^2+1) ogf] A273109 5.84051 [(8*x^5+4*x^4-1)/(2*x-1) ogf] A273123 10.4442 [{-a(n+2)+4*a(n),a(0)=85,a(1)=130} ogf] A273123 15.9037 [-5*(26*x+17)/(2*x-1)/(2*x+1) ogf] A273123 8.97132 [-(34*f(x)-2045)*(4*f(x)*x^2-f(x)+130*x+85) ogf] A273123 9.45624 [-(104*x^2+136*x+26)/(104*x^3+68*x^2-26*x-17) lgdogf] A273131 6.93425 [(48*x^13+104*x^12+16*x^9+8*x^8+12*x^7+10*x^6+4*x^5+4*x^4+2*x^3-1)/(2*x-1) ogf] A273144 7.52369 [-(x^7+4*x^6+22*x^5+17*x^4+25*x^3+18*x^2+8*x+1)/(x^2+1)/(x+1)^3/(x-1)^3 ogf] A273145 2.06968 [-(62933*f(x)-319261)*(8*f(x)*x^3-8*x^4-14*f(x)*x^2+10*x^3+7*f(x)*x-x^2-f(x)+x+1) ogf] A273145 3.72019 [(8*x^4-10*x^3+x^2-x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273146 5.97482 [(x^7+4*x^6+22*x^5+17*x^4+25*x^3+18*x^2+8*x+1)/(x+1)^3/(x^2+1)/(x-1)^4 ogf] A273147 6.10933 [(3*x^5+23*x^4+18*x^3+26*x^2+19*x+7)/(x^2+1)/(x-1)^2/(x+1)^3 ogf] A273165 4.67335 [-(2*x^25-x^23+x^21-x^19+x^18-2*x^17+2*x^16-x^12+x^11-x^8+x^6+2)/(x-1) ogf] A273180 10.1583 [(4*x^4+2*x^3+6*x^2+2*x+1)/(x-1)/(x^2+x+1)/(16*x^3-1) ogf] A273182 15.3264 [-(2*x-6)/(x^2-6*x+1) lgdogf] A273182 21.6373 [14/(x^2-6*x+1) ogf] A273182 8.35986 [(1189*f(x)+1498)*(f(x)*x^2-6*f(x)*x+f(x)-14) ogf] A273182 8.75795 [{-a(n+2)+6*a(n+1)-a(n),a(0)=14,a(1)=84} ogf] A273187 10.9603 [-(49*x^2-244*x+99)/(x-1)/(x^2-6*x+1) ogf] A273187 5.56577 [(3305566*f(x)+21807911)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+49*x^2-f(x)-244*x+99) ogf] A273187 6.03744 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=99,a(1)=449,a(2)=2499} ogf] A273189 11.3082 [-(x^2+44*x+51)/(x-1)/(x^2-6*x+1) ogf] A273189 5.65411 [(3305566*f(x)-11305561)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)+44*x+51) ogf] A273189 6.03744 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=51,a(1)=401,a(2)=2451} ogf] A273189 6.47653 [-(-x^4-88*x^3+162*x^2+712*x-401)/(-x^5-37*x^4+250*x^3+50*x^2-313*x+51) lgdogf] A273220 12.3127 [-(-3*x^2+14*x+37)/(-3*x^3+13*x^2-x-9) lgdogf] A273220 13.3057 [(3*x^2-10*x-9)/(x-1)^3 ogf] A273220 7.05088 [(289*f(x)-4911)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+10*x+9) ogf] A273220 7.23643 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=37,a(2)=81} ogf] A273225 13.7556 [-(-2*x^3-2*x^2-2)/(-x^4+1) ogf_with_Euler_transform] A273225 99.9999 Evaluated at exp(-Pi) 2*exp(-1/4*Pi)/Pi^(1/2)*2^(1/2)*GAMMA(3/4)^2 A273226 16.1750 [-(-3*x^3-3*x^2-3)/(-x^4+1) ogf_with_Euler_transform] A273226 99.9999 Evaluated at exp(-Pi) 4*exp(-3/8*Pi)/Pi^(3/4)*2^(1/4)*GAMMA(3/4)^3 A273228 16.8282 [-(-4*x^3-4*x^2-4)/(-x^4+1) ogf_with_Euler_transform] A273228 99.9999 Evaluated at exp(-Pi) 8*exp(-1/2*Pi)/Pi*GAMMA(3/4)^4 A273251 2.20973 [-(2121*f(x)-12793)*(8*f(x)*x^3-14*f(x)*x^2-16*x^3+7*f(x)*x+16*x^2-f(x)-2*x+1) ogf] A273251 4.08188 [(16*x^3-16*x^2+2*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273308 12.5045 [-2*x*(x^3-x^2-2)/(x^2+x+1)/(x-1)^2 ogf] A273308 5.24382 [{(2*n+7)*a(n)+2*a(n+1)+2*a(n+2)+(-2*n-5)*a(n+3),a(0)=0,a(1)=4,a(2)=4,a(3)=6} ogf] A273308 6.77328 [-(8*f(x)+47)*(f(x)*x^4-f(x)*x^3+2*x^4-2*x^3-f(x)*x+f(x)-4*x) ogf] A273308 8.83470 [-(-x^5+x^4+6*x^2+4*x+2)/(-x^6+x^5+3*x^3-x^2-2) lgdogf] A273309 10.7504 [(4*x^5-8*x^3-9*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A273310 2.09398 [-(2259*f(x)-207854)*(8*f(x)*x^3-32*x^4-14*f(x)*x^2-16*x^3+7*f(x)*x+26*x^2-f(x)-3*x+1) ogf] A273310 3.69679 [(32*x^4+16*x^3-26*x^2+3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273311 8.88199 [-(4*x^5-8*x^3-9*x^2-2*x-1)/(x+1)/(x-1)^4 ogf] A273312 11.7390 [-(4*x^4-7*x^2-10*x-3)/(x+1)/(x-1)^2 ogf] A273312 5.55223 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=3,a(1)=13,a(2)=23,a(3)=33,a(4)=39} ogf] A273312 6.41977 [-(31*f(x)-1804)*(f(x)*x^3+4*x^4-f(x)*x^2-f(x)*x-7*x^2+f(x)-10*x-3) ogf] A273313 2.13885 [(22539*f(x)-1241335)*(8*f(x)*x^3-32*x^4-14*f(x)*x^2-8*x^3+7*f(x)*x+20*x^2-f(x)-2*x+1) ogf] A273313 3.74300 [(32*x^4+8*x^3-20*x^2+2*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273314 5.50683 [(152*f(x)+5645)*(f(x)*x^4-4*f(x)*x^3+4*x^4+6*f(x)*x^2-4*x^3-4*f(x)*x-5*x^2+f(x)-2*x-1) ogf] A273314 9.07720 [-(-12*x^3+22*x^2+16*x+6)/(-4*x^5+8*x^4+x^3-3*x^2-x-1) lgdogf] A273314 9.71794 [-(4*x^4-4*x^3-5*x^2-2*x-1)/(x-1)^4 ogf] A273315 12.0843 [-(-x^3+3*x^2-3*x-3)/(x^4-2*x^3+1) lgdogf] A273315 13.4710 [-4*(x^3-x^2-x-1)/(x-1)^2 ogf] A273315 7.02333 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=4,a(1)=12,a(2)=24,a(3)=32} ogf] A273315 7.67973 [-(f(x)+140)*(f(x)*x^2+4*x^3-2*f(x)*x-4*x^2+f(x)-4*x-4) ogf] A273316 10.1978 [-(-x^3+3*x^2+21*x+9)/(-x^4+4*x^3+2*x^2-4*x-1) lgdogf] A273316 10.7276 [-(x+1)*(x^2-4*x-1)/(x-1)^4 ogf] A273316 4.53860 [{(-9*n^2-57*n-78)*a(n+1)+(2*n^2-32*n-126)*a(n+2)+(7*n^2+41*n+60)*a(n+3),a(0)=1,a(1)=9,a(2)=33} ogf] A273316 5.90018 [(50*f(x)+319)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)-5*x-1) ogf] A273321 10.3540 [-(-6*x^3+30*x^2-27*x+103)/(-6*x^4+30*x^3-49*x^2+57*x-32) lgdogf] A273321 11.2488 [-2*(6*x^3-24*x^2+25*x-32)/(x-1)^4 ogf] A273321 4.46644 [{(750*n^2+4458*n+5916)*a(n+1)+(85*n^2+6296*n+18123)*a(n+2)+(-835*n^2-5999*n-10482)*a(n+3),a(0)=64,a(1)=206,a(2)=488} ogf] A273321 6.03413 [(38725*f(x)+1653436)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+12*x^3-4*f(x)*x-48*x^2+f(x)+50*x-64) ogf] A273322 4.83608 [(598347*f(x)+53380238)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+16*x^3-4*f(x)*x-92*x^2+f(x)+64*x-150) ogf] A273322 8.46315 [-(-8*x^3+68*x^2-4*x+268)/(-8*x^4+54*x^3-78*x^2+107*x-75) lgdogf] A273322 9.08240 [-2*(8*x^3-46*x^2+32*x-75)/(x-1)^4 ogf] A273324 9.79349 [(2*x^6+3*x^5+x^4+4*x^3+x^2+3*x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A273325 3.54759 [{(64*n^2+32*n)*a(n)+(72*n^2+324*n+252)*a(n+1)+(-18*n^2-18*n+36)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=2,a(2)=36} ogf] A273327 3.14643 [(28*x^5-32*x^4-8*x^3+4*x^2+3*x-1)/(x-1)/(3*x-1)/(4*x-1) ogf] A273331 2.52281 [(7037*f(x)+4350)*(-4*x^4+4*f(x)*x^2-4*x^3-5*f(x)*x+4*x^2+f(x)-1) ogf] A273331 4.30818 [(4*x^4+4*x^3-4*x^2+1)/(4*x-1)/(x-1) ogf] A273334 7.73628 [-(-14*x^5+52*x^4-68*x^3+32*x^2+18*x+4)/(7*x^6-24*x^5+25*x^4-7*x^2-1) lgdogf] A273334 9.62537 [-(7*x^5-17*x^4+8*x^3+8*x^2+x+1)/(x-1)^3 ogf] A273335 2.87923 [(f(x)+32)*(8*f(x)*x^2+32*x^3-6*f(x)*x-32*x^2+f(x)+2*x-1) ogf] A273335 4.75302 [-(32*x^3-32*x^2+2*x-1)/(4*x-1)/(2*x-1) ogf] A273336 7.79269 [-(-7*x^5+35*x^4-60*x^3+40*x^2+19*x+5)/(7*x^6-24*x^5+25*x^4-7*x^2-1) lgdogf] A273336 8.78750 [(7*x^5-17*x^4+8*x^3+8*x^2+x+1)/(x-1)^4 ogf] A273337 11.7390 [(7*x^4-17*x^3+8*x^2+7*x+3)/(x-1)^2 ogf] A273337 6.32100 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=3,a(1)=13,a(2)=31,a(3)=32,a(4)=40} ogf] A273337 6.96382 [(2506*f(x)+742239)*(-7*x^4+f(x)*x^2+17*x^3-2*f(x)*x-8*x^2+f(x)-7*x-3) ogf] A273339 4.94041 [-2*(3*x^15+2*x^14+2*x^13+2*x^12+2*x^11+2*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A273348 12.6977 [-(x^3-2*x^2-2*x+2)/(x-1)/(x+1)/(2*x-1)^2 ogf] A273348 4.79275 [{(-10*n-76)*a(n+1)+(5*n+33)*a(n+2)+(10*n+76)*a(n+3)+(-5*n-33)*a(n+4),a(0)=2,a(1)=6,a(2)=16,a(3)=39} ogf] A273348 6.60622 [-(4180*f(x)-10993)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2+x^3+4*f(x)*x-2*x^2-f(x)-2*x+2) ogf] A273348 9.13758 [-(-2*x^5+7*x^4+10*x^3-15*x^2-4*x+6)/(-2*x^6+5*x^5+4*x^4-11*x^3+6*x-2) lgdogf] A273365 8.77614 [-2*x*(3*x^2+4*x+3)/(x+1)^2/(x-1)^3 ogf] A273365 9.60631 [-(9*x^3+19*x^2+25*x+7)/(3*x^4+4*x^3-4*x-3) lgdogf] A273366 11.0107 [-(x^2+18*x+11)/(x^3+7*x^2-7*x-1) lgdogf] A273366 11.7211 [-2*(x^2+8*x+1)/(x-1)^3 ogf] A273366 6.37464 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=22,a(2)=62} ogf] A273366 6.43106 [(7*f(x)-72)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+16*x+2) ogf] A273367 7.60243 [-(x^4+2*x^3+14*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A273368 8.66911 [-4*x*(x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A273368 9.60631 [-(-3*x^3-13*x^2-10*x-4)/(-x^4-3*x^3+3*x+1) lgdogf] A273372 8.47158 [-(x^4+80*x^3+38*x^2+80*x+1)/(x+1)^2/(x-1)^3 ogf] A273373 8.28989 [-4*(4*x^4+5*x^3+32*x^2+5*x+4)/(x+1)^2/(x-1)^3 ogf] A273374 8.13835 [-(9*x^4+40*x^3+102*x^2+40*x+9)/(x+1)^2/(x-1)^3 ogf] A273375 8.22312 [-4*(x^4+15*x^3+18*x^2+15*x+1)/(x+1)^2/(x-1)^3 ogf] A273384 9.51474 [-(8*x^5-20*x^4+12*x^3+5*x^2+2*x+1)/(x-1)^3 ogf] A273385 2.0651 [-(389331*f(x)+468415)*(8*f(x)*x^3+32*x^4-14*f(x)*x^2-56*x^3+7*f(x)*x+28*x^2-f(x)-2*x+1) ogf] A273385 3.69679 [-(32*x^4-56*x^3+28*x^2-2*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273386 8.69500 [(8*x^5-20*x^4+12*x^3+5*x^2+2*x+1)/(x-1)^4 ogf] A273387 11.5737 [4*(2*x^4-5*x^3+3*x^2+x+1)/(x-1)^2 ogf] A273387 6.32100 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=4,a(1)=12,a(2)=32,a(3)=32,a(4)=40} ogf] A273387 7.27195 [(f(x)+125)*(-8*x^4+f(x)*x^2+20*x^3-2*f(x)*x-12*x^2+f(x)-4*x-4) ogf] A273387 8.74181 [-(4*x^4-13*x^3+15*x^2-7*x-3)/(-2*x^5+7*x^4-8*x^3+2*x^2+1) lgdogf] A273405 10.6126 [(4*x^4-4*x^3-13*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A273405 6.17748 [(920*f(x)-23209)*(f(x)*x^4-2*f(x)*x^3-4*x^4+4*x^3+2*f(x)*x+13*x^2-f(x)+2*x+1) ogf] A273406 8.78750 [-(4*x^4-4*x^3-13*x^2-2*x-1)/(x+1)/(x-1)^4 ogf] A273407 11.7390 [-(4*x^3-3*x^2-14*x-3)/(x+1)/(x-1)^2 ogf] A273407 6.08689 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=3,a(1)=17,a(2)=23,a(3)=33} ogf] A273407 6.52167 [-(5*f(x)-157)*(f(x)*x^3-f(x)*x^2+4*x^3-f(x)*x-3*x^2+f(x)-14*x-3) ogf] A273407 9.66741 [-(-x^3+19*x^2+29*x+17)/(-4*x^5+3*x^4+18*x^3-14*x-3) lgdogf] A273408 10.0735 [-(4*x^3-6*x^2-24*x-6)/(4*x^4-13*x^3+7*x^2+x+1) lgdogf] A273408 10.7276 [-(4*x^3-9*x^2-2*x-1)/(x-1)^4 ogf] A273408 4.39375 [{(60*n^2+408*n+576)*a(n+1)+(-82*n^2-365*n-168)*a(n+2)+(22*n^2+71*n+15)*a(n+3),a(0)=1,a(1)=6,a(2)=27} ogf] A273408 5.81708 [(664*f(x)+9137)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-9*x^2+f(x)-2*x-1) ogf] A273417 8.80619 [(5*x^6-7*x^5+3*x^4-x^3-13*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A273418 2.12368 [(68204*f(x)-4840737)*(8*f(x)*x^3-24*x^4-14*f(x)*x^2-22*x^3+7*f(x)*x+27*x^2-f(x)-3*x+1) ogf] A273418 3.69679 [(24*x^4+22*x^3-27*x^2+3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273419 7.50932 [-(5*x^6-7*x^5+3*x^4-x^3-13*x^2-2*x-1)/(x+1)/(x-1)^4 ogf] A273420 10.5350 [-(5*x^5-7*x^4+3*x^3-14*x-3)/(x+1)/(x-1)^2 ogf] A273443 8.53384 [-(7*x^6-18*x^5+16*x^4-11*x^3+12*x^2+x+1)/(x-1)^3 ogf] A273446 2.30338 [-(4425232*f(x)-425792793)*(56*x^4+8*f(x)*x^2-10*x^3-6*f(x)*x-25*x^2+f(x)+2*x-1) ogf] A273446 4.15889 [-(56*x^4-10*x^3-25*x^2+2*x-1)/(4*x-1)/(2*x-1) ogf] A273447 7.86690 [(7*x^6-18*x^5+16*x^4-11*x^3+12*x^2+x+1)/(x-1)^4 ogf] A273448 10.1448 [(7*x^5-18*x^4+16*x^3-11*x^2+11*x+3)/(x-1)^2 ogf] A273465 6.70078 [-(2*x^6+x^4-6*x^3+3*x^2+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A273480 5.22801 [-(3392*f(x)-21173)*(f(x)*x^4-4*f(x)*x^3-5*x^4+6*f(x)*x^2+15*x^3-4*f(x)*x-16*x^2+f(x)-x-1) ogf] A273480 9.28118 [-(-5*x^3+13*x^2-35*x-5)/(-5*x^5+20*x^4-31*x^3+15*x^2+1) lgdogf] A273480 9.49454 [(5*x^4-15*x^3+16*x^2+x+1)/(x-1)^4 ogf] A273481 13.0433 [(5*x^3-15*x^2+15*x+3)/(x-1)^2 ogf] A273481 7.02333 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=3,a(1)=21,a(2)=24,a(3)=32} ogf] A273481 7.67973 [(37*f(x)+1545)*(f(x)*x^2-5*x^3-2*f(x)*x+15*x^2+f(x)-15*x-3) ogf] A273481 9.55500 [-(5*x^3-15*x^2+15*x-21)/(-5*x^4+20*x^3-30*x^2+12*x+3) lgdogf] A273489 2.79977 [(384*x^6-320*x^5+72*x^4+6*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A273539 2.55931 [(233*f(x)-225)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+16*x^2-f(x)-2*x+1) ogf] A273539 4.75302 [-(16*x^2-2*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273565 3.72019 [(2*x^4+7*x^3-14*x^2+3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273570 2.21377 [-(171*f(x)+295)*(8*f(x)*x^3+32*x^4-14*f(x)*x^2+8*x^3+7*f(x)*x-f(x)-2*x+1) ogf] A273570 4.02221 [-(32*x^4+8*x^3-2*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273596 4.76975 [{a(n+1)+(n+2)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=32} ogf] A273622 10.5609 [(x^2+1)/(x^2+x-1)/(x^2+4*x-1) ogf] A273622 5.28046 [(1807*f(x)+200)*(f(x)*x^4+5*f(x)*x^3+2*f(x)*x^2-5*f(x)*x-x^2+f(x)-1) ogf] A273622 6.53770 [-(-2*x^5-5*x^4-4*x^3-20*x^2-2*x+5)/(-x^6-5*x^5-3*x^4-3*x^2+5*x-1) lgdogf] A273623 7.44761 [-(x^4-x^3+8*x^2+x+1)/(x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A273624 4.85435 [-(5356793*f(x)-12294)*(f(x)*x^4-25*f(x)*x^3+128*f(x)*x^2-25*f(x)*x-x^2+f(x)+10*x-1) ogf] A273624 9.70869 [(x^2-10*x+1)/(x^2-7*x+1)/(x^2-18*x+1) ogf] A273625 6.41467 [(x^4-14*x^3+40*x^2-14*x+1)/(x^2-7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A273626 4.48751 [-(87810034*f(x)+73341)*(f(x)*x^4-40*f(x)*x^3+206*f(x)*x^2-40*f(x)*x-x^2+f(x)+10*x-1) ogf] A273626 9.03565 [(x^2-10*x+1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A273627 4.65734 [(192220769*f(x)+445077)*(f(x)*x^4-40*f(x)*x^3+206*f(x)*x^2-40*f(x)*x-x^2+f(x)-8*x-1) ogf] A273627 9.31466 [(x^2+8*x+1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A273652 4.23264 [{(2*n^2+18*n+40)*a(n+1)+(-3*n^2-21*n-30)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=2,a(1)=9,a(2)=30} ogf] A273652 7.08077 [-(-54*x^4+120*x^3-108*x^2+48*x-9)/(-18*x^5+57*x^4-72*x^3+46*x^2-15*x+2) lgdogf] A273652 7.73104 [-(3*x-2)*(3*x^2-3*x+1)/(2*x-1)^3/(x-1)^3 ogf] A273669 13.0188 [-(-x^3-15*x^2-15*x-9)/(-x^4-7*x^3-x^2+7*x+2) lgdogf] A273669 17.5007 [(x^2+7*x+2)/(x+1)/(x-1)^2 ogf] A273669 8.89613 [-(140*f(x)+3041)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-7*x-2) ogf] A273669 9.44726 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=9,a(2)=12} ogf] A273675 9.60273 [(x^5-4*x^4+7*x^3-8*x^2-x-1)/(x-1)^3 ogf] A273676 2.02686 [-(832260*f(x)-2529253)*(8*f(x)*x^3+8*x^4-14*f(x)*x^2-22*x^3+7*f(x)*x+19*x^2-f(x)-3*x+1) ogf] A273676 3.67369 [-(8*x^4-22*x^3+19*x^2-3*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273677 8.76142 [-(x^5-4*x^4+7*x^3-8*x^2-x-1)/(x-1)^4 ogf] A273678 11.9639 [-(x^4-4*x^3+7*x^2-7*x-3)/(x-1)^2 ogf] A273678 6.99585 [(12612*f(x)-168563)*(x^4+f(x)*x^2-4*x^3-2*f(x)*x+7*x^2+f(x)-7*x-3) ogf] A273678 8.25510 [-(2*x^4-8*x^3+12*x^2-7*x+13)/(-x^5+5*x^4-11*x^3+14*x^2-4*x-3) lgdogf] A273716 5.0098 [-f(x)^2*x^4+f(x)*x^4-2*f(x)^2*x^2+4*f(x)^2*x+2*f(x)*x^2-f(x)^2-4*f(x)*x+f(x)+x ogf] A273724 11.2610 [x^3*(5*x^6-3*x^5+2*x^4+3*x^2-x+2)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A273735 5.91169 [(x^13+2*x^12+3*x^11+4*x^10+5*x^9+6*x^8+7*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(8*x^7-1) ogf] A273736 5.21881 [(x^15+2*x^14+3*x^13+4*x^12+5*x^11+6*x^10+7*x^9+8*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(3*x^4-1)/(3*x^4+1) ogf] A273737 4.68272 [(x^17+2*x^16+3*x^15+4*x^14+5*x^13+6*x^12+7*x^11+8*x^10+9*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(10*x^9-1) ogf] A273738 4.18799 [(x^19+2*x^18+3*x^17+4*x^16+5*x^15+6*x^14+7*x^13+8*x^12+9*x^11+10*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(11*x^10-1) ogf] A273743 10.7504 [-(x^4-3*x^3+4*x^2+5*x+1)/(x-1)^3 ogf] A273743 5.63117 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=1,a(1)=8,a(2)=25,a(3)=49,a(4)=81} ogf] A273743 6.27107 [(290*f(x)+2729)*(f(x)*x^3+x^4-3*f(x)*x^2-3*x^3+3*f(x)*x+4*x^2-f(x)+5*x+1) ogf] A273743 8.53384 [-(-x^4+4*x^3-5*x^2+18*x+8)/(x^5-4*x^4+7*x^3+x^2-4*x-1) lgdogf] A273744 5.47036 [(2525+1152*f(x))*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+3*x^3-4*f(x)*x-4*x^2+f(x)-5*x-1) ogf] A273744 9.28118 [-(x^3-x^2+23*x+9)/(x^5-4*x^4+7*x^3+x^2-4*x-1) lgdogf] A273744 9.71794 [(x^4-3*x^3+4*x^2+5*x+1)/(x-1)^4 ogf] A273745 10.1448 [-(-x^3+3*x^2-3*x+17)/(x^4-4*x^3+6*x^2+4*x-7) lgdogf] A273745 13.4710 [(x+1)*(x^2-4*x+7)/(x-1)^2 ogf] A273745 7.02333 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=7,a(1)=17,a(2)=24,a(3)=32} ogf] A273745 7.60862 [-(57*f(x)+169)*(f(x)*x^2-x^3-2*f(x)*x+3*x^2+f(x)-3*x-7) ogf] A273766 8.80619 [-(x^6+5*x^5-16*x^4+8*x^3+8*x^2+x+1)/(x-1)^3 ogf] A273767 3.36449 [-(8*x^5+26*x^4-63*x^3+34*x^2-3*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273768 8.09828 [(x^6+5*x^5-16*x^4+8*x^3+8*x^2+x+1)/(x-1)^4 ogf] A273769 10.5350 [(x^5+5*x^4-16*x^3+8*x^2+7*x+3)/(x-1)^2 ogf] A273780 7.95944 [-(3*x^6-4*x^5-9*x^4+16*x^3-26*x-4)/(-x^7+5*x^5-16*x^3+11*x^2+1) lgdogf] A273780 8.80619 [-(x^6+x^5-4*x^4-4*x^3+12*x^2+x+1)/(x-1)^3 ogf] A273781 8.09828 [(x^6+x^5-4*x^4-4*x^3+12*x^2+x+1)/(x-1)^4 ogf] A273782 10.5350 [(x^5+x^4-4*x^3-4*x^2+11*x+3)/(x-1)^2 ogf] A273782 8.30030 [-(3*x^5-3*x^4-8*x^3+12*x^2-3*x-17)/(-x^6+5*x^4-15*x^2+8*x+3) lgdogf] A273789 10.4783 [-(4*x^4-12*x^3+13*x^2+2*x+1)/(x-1)^3 ogf] A273789 5.63117 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=5,a(2)=25,a(3)=49,a(4)=81} ogf] A273789 5.99842 [-(190*f(x)-5327)*(f(x)*x^3+4*x^4-3*f(x)*x^2-12*x^3+3*f(x)*x+13*x^2-f(x)+2*x+1) ogf] A273789 8.11551 [-(4*x^4-16*x^3+23*x^2-30*x-5)/(-4*x^5+16*x^4-25*x^3+11*x^2+x+1) lgdogf] A273790 5.43437 [(568*f(x)-2367)*(f(x)*x^4-4*f(x)*x^3-4*x^4+6*f(x)*x^2+12*x^3-4*f(x)*x-13*x^2+f(x)-2*x-1) ogf] A273790 8.88199 [-(-4*x^3+10*x^2-32*x-6)/(-4*x^5+16*x^4-25*x^3+11*x^2+x+1) lgdogf] A273790 9.49454 [(4*x^4-12*x^3+13*x^2+2*x+1)/(x-1)^4 ogf] A273791 10.2716 [-(x^3-3*x^2+3*x-5)/(-x^4+4*x^3-6*x^2+2*x+1) lgdogf] A273791 13.0433 [4*(x^3-3*x^2+3*x+1)/(x-1)^2 ogf] A273791 7.02333 [{a(n+4)-2*a(n+3)+a(n+2),a(0)=4,a(1)=20,a(2)=24,a(3)=32} ogf] A273791 7.53881 [-(3*f(x)+164)*(f(x)*x^2-4*x^3-2*f(x)*x+12*x^2+f(x)-12*x-4) ogf] A273796 2.91405 [-(16*x^5-4*x^4-4*x^3-6*x^2+5*x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A273828 3.27669 [(32*x^5-24*x^4+4*x^3-4*x^2+2*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273831 8.80619 [(x^6-3*x^5+7*x^4-5*x^3-13*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A273832 2.12368 [(733164*f(x)-5232229)*(8*f(x)*x^3+8*x^4-14*f(x)*x^2-46*x^3+7*f(x)*x+31*x^2-f(x)-3*x+1) ogf] A273832 3.74300 [-(8*x^4-46*x^3+31*x^2-3*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273833 7.50932 [-(x^6-3*x^5+7*x^4-5*x^3-13*x^2-2*x-1)/(x+1)/(x-1)^4 ogf] A273834 9.55500 [-(x^5-3*x^4+7*x^3-4*x^2-14*x-3)/(x+1)/(x-1)^2 ogf] A273845 16.8937 [-(-2*x^2-3*x-3)/(-x^3+1) ogf_with_Euler_transform] A273847 8.71349 [-(5*x^7-11*x^6+7*x^5-7*x^3+12*x^2+x+1)/(x-1)^3 ogf] A273848 3.32711 [-(32*x^5-16*x^4-42*x^3+31*x^2-3*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A273849 8.01966 [(5*x^7-11*x^6+7*x^5-7*x^3+12*x^2+x+1)/(x-1)^4 ogf] A273850 10.4016 [(5*x^6-11*x^5+7*x^4-7*x^2+11*x+3)/(x-1)^2 ogf] A273860 3.28249 [(4*x^4+4*x^3+2*x^2-3*x+1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A273898 7.99729 [f(x)*(f(x)^2*x^5-3*f(x)*x^2+4*f(x)*x-f(x)-x+1) ogf] A273900 6.27664 [f(x)^2*x^4-f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-2*x+1 ogf] A273935 3.09676 [{(-2*n^3-4*n^2-2*n)*a(n)+(-2*n^3-9*n^2-16*n-9)*a(n+1)+(3*n^2+14*n+17)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=1,a(2)=3} egf] A273961 3.88023 [(6*x^7-33*x^6+25*x^5+72*x^4-82*x^3-x^2+18*x-2)/(x-1)/(x^2+x-1)/(18*x^4-41*x^3+6*x^2+12*x-1) ogf] A273981 4.93271 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=1,a(1)=4,a(2)=26,a(3)=56,a(4)=98} ogf] A273981 5.2166 [-(274*f(x)-10803)*(f(x)*x^3+4*x^4-3*f(x)*x^2-11*x^3+3*f(x)*x+17*x^2-f(x)+x+1) ogf] A273981 9.17858 [-(4*x^4-11*x^3+17*x^2+x+1)/(x-1)^3 ogf] A273982 12.5462 [-(4*x^2+18*x+8)/(4*x^3+x^2-4*x-1) lgdogf] A273982 13.3689 [-(x+1)*(4*x+1)/(x-1)^3 ogf] A273982 6.85295 [(10100*f(x)-34971)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+5*x+1) ogf] A273982 7.21681 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=25} ogf] A274032 10.3401 [(x^2-18*x-3)/(x^3+x^2-9*x-1) ogf] A274032 5.52661 [(103*f(x)-193)*(f(x)*x^3+f(x)*x^2-9*f(x)*x-x^2-f(x)+18*x+3) ogf] A274032 5.67333 [{-a(n+3)-9*a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=-9,a(2)=83} ogf] A274032 6.22414 [-(x^4-36*x^3-18*x^2-4*x+9)/(x^5-17*x^4-30*x^3+158*x^2+45*x+3) lgdogf] A274039 11.2108 [-(-4*x^6+6*x^5+2)/(x^7-x^6+x-1) lgdogf] A274039 14.1173 [x^4*(x^2+1)*(x^4-x^2+1)/(x-1)^2 ogf] A274039 25.3131 [-x^11+x^5+2 ogf_with_Euler_transform] A274047 10.4082 [-(x^7-x^6+x^5+2*x^4-x^3+x^2-2*x-2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A274056 5.21955 [{(-8*n^3-56*n^2-126*n-90)*a(n+1)+(n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A274067 4.98884 [(2*x^12+12*x^10-38*x^9+22*x^8+109*x^7-76*x^6-233*x^5+181*x^4+115*x^3-76*x^2-45*x-5)/(x+1)^2/(x-1)^3 ogf] A274072 12.4429 [-5*f(x)*x^2-4*f(x)*x+f(x)-6*x ogf] A274072 14.9822 [-(-10*x-4)/(-5*x^2-4*x+1) lgdogf] A274072 19.8414 [-6*x/(x+1)/(5*x-1) ogf] A274072 9.06333 [{-a(n+2)+4*a(n+1)+5*a(n),a(0)=0,a(1)=6} ogf] A274073 12.4888 [-6*f(x)*x^2-5*f(x)*x+f(x)-7*x ogf] A274073 15.0376 [-(-12*x-5)/(-6*x^2-5*x+1) lgdogf] A274073 19.9146 [-7*x/(x+1)/(6*x-1) ogf] A274073 9.09679 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=0,a(1)=7} ogf] A274074 10.7243 [-(30*x^2-24*x-5)/(30*x^3+13*x^2-15*x+2) lgdogf] A274074 16.4439 [(5*x-2)/(x+1)/(6*x-1) ogf] A274074 8.13161 [-(49*f(x)-73)*(6*f(x)*x^2+5*f(x)*x-f(x)-5*x+2) ogf] A274074 9.02410 [{-a(n+2)+5*a(n+1)+6*a(n),a(0)=2,a(1)=5} ogf] A274075 11.6971 [(9*x^2-2*x-3)/(x^3+9*x^2-x-1) ogf] A274075 6.31436 [(67*f(x)-69)*(f(x)*x^3+9*f(x)*x^2-f(x)*x-9*x^2-f(x)+2*x+3) ogf] A274075 6.31437 [{-a(n+3)-a(n+2)+9*a(n+1)+a(n),a(0)=3,a(1)=-1,a(2)=19} ogf] A274075 7.06459 [-(-9*x^4+4*x^3+18*x^2+36*x-1)/(-9*x^5-79*x^4+30*x^3+34*x^2-5*x-3) lgdogf] A274077 10.2195 [-(3*x^3-16*x^2+11*x-4)/(x-1)^4 ogf] A274077 3.95753 [{(1735*n^2+9341*n+11742)*a(n+1)+(-2816*n^2-11152*n-9000)*a(n+2)+(1081*n^2+3773*n+1590)*a(n+3),a(0)=4,a(1)=5,a(2)=12} ogf] A274077 5.6065 [(708*f(x)+3163)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3*x^3-4*f(x)*x-16*x^2+f(x)+11*x-4) ogf] A274077 9.61115 [-(-3*x^3+23*x^2-x+5)/(-3*x^4+19*x^3-27*x^2+15*x-4) lgdogf] A274093 22.3061 [-(-2-x)/(x-1) ogf_with_Euler_transform] A274094 21.8878 [-(-2-x)/(x-1) ogf_with_Euler_transform] A274100 5.87575 [-(16*x^6+18*x^5+27*x^4-5*x^3-32*x^2+12*x-1)/(x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(x+1) ogf] A274104 3.44753 [{(4*n^2+22*n+30)*a(n+1)+(-9*n^2-62*n-110)*a(n+2)+(6*n^2+49*n+100)*a(n+3)+(-n^2-9*n-20)*a(n+4),a(0)=2,a(1)=7,a(2)=23,a(3)=78} ogf] A274104 6.1034 [4*f(x)^2*x^4-9*f(x)^2*x^3+6*f(x)^2*x^2-f(x)^2*x-4*f(x)*x^2+5*f(x)*x-f(x)+x+2 ogf] A274110 12.6837 [-(x^4+x^2-1)/(x-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A274112 11.216 [-f(x)^2*x^4-f(x)^2*x^2+f(x)^2*x-2*f(x)*x+f(x)-1 ogf] A274114 6.10882 [-f(x)^3*x^2+3*f(x)^3*x-f(x)^3-6*f(x)^2*x+f(x)*x^2+2*f(x)^2+5*f(x)*x-x^2-f(x)-2*x ogf] A274115 5.6743 [-f(x)^2*x^3-2*f(x)^2*x^2+2*f(x)*x^3-f(x)^2*x+5*f(x)*x^2-2*x^3+f(x)^2+f(x)*x-3*x^2-2*f(x)+1 ogf] A274119 4.39882 [(615509612424*f(x)+33456143699869)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-21*x^2+f(x)-76*x-11) ogf] A274119 9.40023 [-(42*x^2+270*x+120)/(21*x^3+55*x^2-65*x-11) lgdogf] A274119 9.53079 [(21*x^2+76*x+11)/(x-1)^4 ogf] A274129 10.7907 [11*(x-1)/(2*x-1)/(11*x-1)^2 ogf] A274129 5.26376 [{a(n+3)-24*a(n+2)+165*a(n+1)-242*a(n),a(0)=11,a(1)=253,a(2)=4257} ogf] A274129 5.30691 [(1242595*f(x)-1056561)*(242*f(x)*x^3-165*f(x)*x^2+24*f(x)*x-f(x)-11*x+11) ogf] A274129 9.24919 [-(-44*x^2+77*x-23)/(-22*x^3+35*x^2-14*x+1) lgdogf] A274136 3.79365 [{(-4*n^4-46*n^3-198*n^2-378*n-270)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=16} ogf] A274160 4.97614 [4*f(x)^2*x^4-6*f(x)^2*x^3-4*f(x)*x^4+10*f(x)*x^3+x^4+3*f(x)^2*x-2*f(x)*x^2-4*x^3-f(x)^2-5*f(x)*x+2*x^2+2*f(x)+2*x-1 ogf] A274161 5.69101 [(6*x^14-2*x^13+8*x^11-2*x^10-2*x^9+2*x^8+3*x^6+4*x^5+6*x^4+4*x^3+4*x^2+x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A274162 2.83649 [-f(x)*(f(x)*x^2+f(x)*x-x^2-f(x)+1)^2 ogf] A274171 3.54391 [-(f(x)-1)^3 ogf] A274201 6.94604 [-(x-1)*(x^4+x^3+x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)*(x^2+x+1)^2/(x^20+x^19+x^18-x^15-x^4-x^3+1) ogf] A274203 11.0227 [-x*(x^3+x-1)/(x-1)/(x^4+2*x^3+3*x^2+2*x-1) ogf] A274217 7.08483 [-x*(5*x^6-6*x^5-4*x^4+6*x^2+4*x-4)/(x+1)/(x^2+x+1)/(2*x-1)^2/(x-1)^2 ogf] A274220 13.6048 [-(3*x^2+8*x+3)/(x^3-3*x^2-4*x-1) ogf] A274220 7.34419 [{-a(n+3)-4*a(n+2)-3*a(n+1)+a(n),a(0)=3,a(1)=-4,a(2)=10} ogf] A274220 7.47651 [(f(x)-3)*(f(x)*x^3-3*f(x)*x^2-4*f(x)*x+3*x^2-f(x)+8*x+3) ogf] A274220 8.21676 [-(-3*x^4-16*x^3+3*x^2+12*x+4)/(-3*x^5+x^4+33*x^3+44*x^2+20*x+3) lgdogf] A274221 6.92256 [-x^2*(x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A274230 16.7370 [-x^2/(2*x-1)/(x-1)/(2*x^2-1) ogf] A274230 5.62473 [{a(n+4)-3*a(n+3)+6*a(n+1)-4*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A274230 8.4718 [-4*f(x)*x^4+6*f(x)*x^3-3*f(x)*x-x^2+f(x) ogf] A274230 9.80310 [-(-16*x^3+18*x^2-3)/(-4*x^4+6*x^3-3*x+1) lgdogf] A274232 10.7821 [-(2*x^3+4*x^2-5*x+1)/(x-1)/(2*x-1)/(4*x-1) ogf] A274232 5.63244 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A274232 7.7015 [8*f(x)*x^3-14*f(x)*x^2+2*x^3+7*f(x)*x+4*x^2-f(x)-5*x+1 ogf] A274233 5.09319 [-(x^8-3*x^7+6*x^6-7*x^5+9*x^4-7*x^3+6*x^2-3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^5 ogf] A274248 8.24424 [-(-2*x^4-12*x^3-20*x^2-17*x-5)/(-x^5-3*x^4-x^3+2*x^2+2*x+1) lgdogf] A274248 9.60212 [(x^3+3*x^2+2*x+1)/(x+1)/(x-1)^4 ogf] A274250 6.05898 [-(x^7+x^6+2*x^5+3*x^4+3*x^3+3*x^2-2*x+1)/(x+1)/(x^2+x+1)/(x-1)^5 ogf] A274251 5.16372 [-(2*x^8+38*x^7+88*x^6+110*x^5+83*x^4+28*x^3+14*x^2-4*x+1)/(x+1)/(x^2+x+1)/(x-1)^7 ogf] A274265 10.7388 [(ln(x-1)-I*Pi)*(x-1)^3 revegf] A274266 4.75597 [{(-n^2+2*n-1)*a(n+1)+(-2*n+1)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=11} ogf] A274267 9.64823 [I*Pi*(x-1)^4-(x-1)^4*ln(x-1) revegf] A274268 5.15471 [{(-n^2+4*n-4)*a(n+1)+(-2*n+3)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=26} ogf] A274269 8.76738 [-I*Pi*(x-1)^5+(x-1)^5*ln(x-1) revegf] A274270 5.10969 [{(-n^2+6*n-9)*a(n+1)+(-2*n+5)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=47} ogf] A274271 4.17418 [(705536*f(x)+3013841)*(729*f(x)*x^4-1080*f(x)*x^3+81*x^4+390*f(x)*x^2+405*x^3-40*f(x)*x-288*x^2+f(x)+37*x-1) ogf] A274271 7.16778 [-(81*x^4+405*x^3-288*x^2+37*x-1)/(x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A274272 4.91962 [-(6750*x^4+5655*x^3-3129*x^2+149*x-1)/(x-1)/(125*x-1)/(25*x-1)/(5*x-1)/(x+1) ogf] A274304 3.64063 [{(64*n^3+96*n^2+32*n)*a(n)+(-16*n^3-88*n^2-164*n-96)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=4} ogf] A274306 3.84880 [{(-4*n^4-32*n^3-96*n^2-128*n-65)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=5} egf] A274311 7.60661 [-x^2*(x^4-2*x^3-5*x^2+12*x+9)/(x-1)^7 ogf] A274311 9.28006 [-(3*x^4-4*x^3-31*x^2+62*x+75)/(x^5-3*x^4-3*x^3+17*x^2-3*x-9) lgdogf] A274323 7.80492 [-(x^5+5*x^4+10*x^3+10*x^2-3*x+1)/(x+1)/(x-1)^5 ogf] A274324 8.37928 [-(-6*x^4-21*x^3-13*x^2-7*x-1)/(-3*x^5-4*x^4+5*x^3+3*x^2-2*x+1) lgdogf] A274324 9.66081 [(3*x^3+4*x^2-2*x+1)/(x+1)/(x-1)^4 ogf] A274325 6.41508 [(15*x^5+46*x^4+41*x^3+21*x^2-4*x+1)/(x+1)/(x-1)^6 ogf] A274327 14.2928 [-(-3*x^3-4*x^2-4*x-4)/(-x^4+1) ogf_with_Euler_transform] A274327 99.9999 Evaluated at exp(-Pi) 1/Pi^(3/4)*2^(5/8)*GAMMA(3/4)^3 A274338 7.07672 [-(84*x^9+78*x^8+140*x^7+76*x^6+336*x^5+308*x^4+260*x^3+171*x^2+98*x+52)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A274339 14.4089 [-3*(6*x^2+8*x+5)/(x-1)/(x^2+x+1) ogf] A274339 8.81488 [-(67*f(x)-693)*(f(x)*x^3+18*x^2-f(x)+24*x+15) ogf] A274339 9.48435 [{a(n+3)-a(n),a(0)=15,a(1)=24,a(2)=18} ogf] A274340 12.2830 [-(36*x^3+22*x^2+20*x+19)/(x-1)/(x+1)/(x^2+1) ogf] A274340 7.20447 [-(1314269*f(x)+11761647)*(f(x)*x^4+36*x^3+22*x^2-f(x)+20*x+19) ogf] A274378 18.9375 [-(x^5+2*x^4+x^3-x)/(x^2+2*x+1) revogf] A274379 17.9058 [-(-x^6-3*x^5-3*x^4-x^3+x)/(-x^3-3*x^2-3*x-1) revogf] A274380 12.2830 [-2*(24*x^3+21*x^2+27*x+17)/(x-1)/(x+1)/(x^2+1) ogf] A274380 7.64556 [(275047*f(x)-5453047)*(f(x)*x^4+48*x^3+42*x^2-f(x)+54*x+34) ogf] A274384 10.1653 [-x^2+x+2 ogf_with_Euler_transform] A274399 26.5845 [-x^21+x^20+2 ogf_with_Euler_transform] A274406 13.6058 [-(-2*x^2-25*x-9)/(-x^3-8*x^2+x+8) lgdogf] A274406 15.5154 [x*(x+8)/(x+1)/(x-1)^2 ogf] A274406 7.49473 [-(6849*f(x)+59345)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-8*x) ogf] A274406 7.96736 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=9} ogf] A274448 5.86352 [(25769803776*x^16+12884901888*x^15-6656*x^4+2080*x^3+416*x^2+78*x+13)/(12884901888*x^15-13312*x^4+832*x^3+208*x^2+52*x+13) egf] A274493 9.09421 [-f(x)^2*x^4-2*f(x)*x^3+f(x)*x^2-2*f(x)*x+f(x)-x ogf] A274497 15.5674 [-(-12*x-2)/(-4*x^2+1) lgdogf] A274497 15.5674 [2*x^2/(2*x+1)/(2*x-1)^2 ogf] A274497 6.36849 [{a(n+3)-2*a(n+2)-4*a(n+1)+8*a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A274497 8.64856 [8*f(x)*x^3-4*f(x)*x^2-2*f(x)*x-2*x^2+f(x) ogf] A274499 17.2405 [6*x^2/(3*x+1)/(3*x-1)^2 ogf] A274499 17.6236 [-(-27*x-3)/(-9*x^2+1) lgdogf] A274499 7.14472 [{a(n+3)-3*a(n+2)-9*a(n+1)+27*a(n),a(0)=0,a(1)=0,a(2)=6} ogf] A274499 9.67152 [27*f(x)*x^3-9*f(x)*x^2-3*f(x)*x-6*x^2+f(x) ogf] A274501 15.1076 [-(-144*x-31)/(-24*x^2+23*x+1) lgdogf] A274501 5.19936 [{(-2-n)*a(n+3)+(8-23*n)*a(n+2)+(144+24*n)*a(n+1),a(0)=0,a(1)=1,a(2)=31} ogf] A274501 8.51810 [-x*(24*x+1)/(x-1)^7 ogf] A274502 15.1013 [-(-63*x-17)/(-9*x^2+8*x+1) lgdogf] A274502 5.03377 [{(-1-n)*a(n+3)+(17-8*n)*a(n+2)+(54+9*n)*a(n+1),a(0)=0,a(1)=0,a(2)=9} ogf] A274502 7.05669 [9*x^2*(9*x+1)/(x-1)^8 ogf] A274503 10.1917 [-(1750*x^2+900*x+59)/(250*x^3-200*x^2-49*x-1) lgdogf] A274503 5.97170 [-x^2*(250*x^2+50*x+1)/(x-1)^9 ogf] A274520 12.8482 [-6*f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A274520 15.4703 [-(-12*x-2)/(-6*x^2-2*x+1) lgdogf] A274520 20.4876 [-2*x/(6*x^2+2*x-1) ogf] A274520 9.35856 [{-a(n+2)+2*a(n+1)+6*a(n),a(0)=0,a(1)=2} ogf] A274526 11.6952 [-10*f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A274526 14.0343 [-(-20*x-2)/(-10*x^2-2*x+1) lgdogf] A274526 18.4662 [-2*x/(10*x^2+2*x-1) ogf] A274526 8.55751 [{-a(n+2)+2*a(n+1)+10*a(n),a(0)=0,a(1)=2} ogf] A274544 6.57415 [-(x^4+12*x^3-530*x^2+12*x+1)/(x-1)/(x^2+38*x+1)/(x^2-38*x+1) ogf] A274545 5.67647 [-(x^4+28*x^3-5938*x^2+28*x+1)/(x-1)/(x^2+198*x+1)/(x^2-198*x+1) ogf] A274579 5.65918 [-x*(x^6+6*x^5+20*x^4+513*x^3+20*x^2+6*x+1)/(x-1)/(x^2+6*x-1)/(x^2-6*x-1)/(x^4+38*x^2+1) ogf] A274583 9.46470 [-(x^6-x^4-x^3+x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A274587 4.31548 [-(x^6-12*x^5+560*x^4-13236*x^3+560*x^2-12*x+1)/(x-1)/(x^2-34*x+1)/(x^4+1154*x^2+1) ogf] A274588 6.32464 [-(x^4+7*x^3-268*x^2+7*x+1)/(x-1)/(x^2-30*x+1)/(x^2+30*x+1) ogf] A274592 10.3303 [(25*x^2+62*x-3)/(x^3+25*x^2+31*x-1) ogf] A274592 5.28718 [(1490749*f(x)-1120103)*(f(x)*x^3+25*f(x)*x^2+31*f(x)*x-25*x^2-f(x)-62*x+3) ogf] A274592 5.69043 [{a(n+3)-31*a(n+2)-25*a(n+1)-a(n),a(0)=3,a(1)=31,a(2)=1011} ogf] A274592 5.83888 [-(25*x^4+124*x^3+766*x^2-100*x-31)/(25*x^5+687*x^4+2322*x^3+1822*x^2-155*x+3) lgdogf] A274603 13.6152 [-45/(x-1)/(x^2-98*x+1) ogf] A274603 4.87046 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=45,a(1)=4455,a(2)=436590} ogf] A274603 5.30147 [(92208103*f(x)-13275)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+45) ogf] A274603 8.68213 [-(3*x^2-198*x+99)/(x^3-99*x^2+99*x-1) lgdogf] A274615 4.54409 [(2*x^17-3*x^15+8*x^14-2*x^13+x^12-3*x^11+x^10+5*x^9+x^8+3*x^7-5*x^6+8*x^5-2*x^4-3*x^3+x^2+3*x+1)/(x+1)/(x^8+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A274616 9.75465 [-x*(x^3-x^2-1)*(x^4+1)/(x^2+x+1)/(x-1)^2 ogf] A274621 32.8915 [-2/(x+1) ogf_with_Euler_transform] A274621 99.9999 Evaluated at exp(-Pi) 2*exp(-1/4*Pi)/Pi^(1/2)*2^(1/4)*GAMMA(3/4)^2 A274626 8.70060 [x^3*(2*x^2+1)/(2*x-1)/(x-1)/(4*x^3-1)/(2*x^3-1) ogf] A274627 5.38395 [-x^4*(8*x^6+4*x^4+6*x^3+2*x^2+1)/(2*x-1)/(x-1)/(8*x^4-1)/(2*x^4-1)/(2*x^2-1)/(2*x^2+1) ogf] A274638 15.2724 [x^2*(4*x-3)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A274638 8.03118 [(363*f(x)+3280)*(4*f(x)*x^4-6*f(x)*x^3-4*x^3+3*f(x)*x+3*x^2-f(x)) ogf] A274638 9.31617 [-(-48*x^4+96*x^3-54*x^2+5)/(-16*x^5+36*x^4-18*x^3-12*x^2+13*x-3) lgdogf] A274642 9.01385 [(12*x^8+128*x^7+204*x^6+145*x^5+128*x^4+33*x^3-60*x^2-55*x-28)/(4*x^3-1) ogf] A274663 10.4997 [(11*x+3)*(x-1)/(x^3+11*x^2-4*x-1) ogf] A274663 5.4668 [(28223*f(x)-31293)*(f(x)*x^3+11*f(x)*x^2-4*f(x)*x-11*x^2-f(x)+8*x+3) ogf] A274663 5.80248 [{-a(n+3)-4*a(n+2)+11*a(n+1)+a(n),a(0)=3,a(1)=-4,a(2)=38} ogf] A274664 6.77143 [(149090*x^7+596360*x^6-1639990*x^5-149090*x^4+4*x^2-22*x-3)/(x^3+4*x^2-11*x-1) ogf] A274665 3.97253 [{(27*n^2+108*n+105)*a(n+1)+(-29*n^2-145*n-182)*a(n+2)+(2*n^2+12*n+18)*a(n+3),a(0)=1,a(1)=4,a(2)=30} ogf] A274680 5.32146 [-459*x*(35*x^2+1154*x+35)/(x-1)/(x^2-1154*x+1)/(x^2+1154*x+1) ogf] A274681 10.0842 [-x*(5*x^2+6*x+5)/(x+1)^2/(x-1)^3 ogf] A274681 10.7477 [-(15*x^3+29*x^2+41*x+11)/(5*x^4+6*x^3-6*x-5) lgdogf] A274682 8.80619 [-(2*x^4+5*x^3+18*x^2+5*x+2)/(x+1)^2/(x-1)^3 ogf] A274719 18.8188 [x/(x^2-1) ogf_with_Euler_transform] A274723 5.73906 [(8*x^6-4*x^5-21*x^4-45*x^3-24*x^2+9*x+5)/(x-1)/(4*x-1)/(x+1)/(x^2+x+1) ogf] A274729 4.90430 [-4*(2*x^6-12*x^5+13*x^4+12*x^3-21*x^2+4*x+1)/(x-1)/(x^5-6*x^4+7*x^3+3*x^2-7*x+1) ogf] A274730 3.41910 [-4*(24*x^8-72*x^7+434*x^6-1108*x^5+841*x^4-77*x^3-98*x^2+16*x+2)/(x-1)/(4*x^6-12*x^5-61*x^4+72*x^3-8*x^2-9*x+1) ogf] A274734 15.4760 [-(-x^4-2*x^3-x^2+x)/(-x^2-2*x-1) revogf] A274735 12.8371 [-(-x^5-3*x^4-3*x^3-x^2+x)/(-x^3-3*x^2-3*x-1) revogf] A274743 12.1803 [99*(10*x+1)/(100*x-1)/(x-1) ogf] A274743 5.91938 [(11111111*f(x)+266263380)*(100*f(x)*x^2-101*f(x)*x+f(x)-990*x-99) ogf] A274743 6.96015 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=99,a(1)=10989} ogf] A274743 8.22564 [-(1000*x^2+200*x-111)/(1000*x^3-910*x^2-91*x+1) lgdogf] A274745 4.22026 [{a(n+4)-6*a(n+3)-a(n+2)+2*a(n+1),a(0)=4,a(1)=22,a(2)=133,a(3)=813} ogf] A274745 4.38012 [-(-43971+100874*f(x))*(2*f(x)*x^3-f(x)*x^2-x^3-6*f(x)*x+3*x^2+f(x)+2*x-4) ogf] A274745 8.37936 [(x-1)*(x^2-2*x-4)/(2*x^3-x^2-6*x+1) ogf] A274746 6.27947 [-2*(3*x^5-8*x^4-2*x^3+11*x^2+6*x-4)/(2*x^5-10*x^4+14*x^3-9*x+1) ogf] A274750 4.6027 [-(598*f(x)+149)*(2*f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+2*x^3-2*f(x)*x-2*x^2+f(x)-5*x-2) ogf] A274750 8.66740 [-(2*x^3-2*x^2-5*x-2)/(x+1)/(2*x^3-4*x^2-3*x+1) ogf] A274751 3.72978 [-(6*x^7-6*x^6-45*x^5+46*x^4+55*x^3-10*x^2-19*x-4)/(x^2-x-1)/(4*x^6+2*x^5-25*x^4-3*x^3+16*x^2+3*x-1) ogf] A274755 10.2598 [-(200*x-101)/(100*x^2-101*x+1) lgdogf] A274755 14.3637 [1089/(100*x-1)/(x-1) ogf] A274755 5.47189 [(101010101*f(x)+3321776700)*(100*f(x)*x^2-101*f(x)*x+f(x)-1089) ogf] A274755 6.11222 [{-a(n+2)+101*a(n+1)-100*a(n),a(0)=1089,a(1)=109989} ogf] A274756 6.33919 [-63*x*(15*x^2+194*x+15)/(x-1)/(x^2+194*x+1)/(x^2-194*x+1) ogf] A274757 10.9261 [-(9*x^3+11*x^2+23*x+5)/(3*x^4+2*x^3-2*x-3) lgdogf] A274757 9.98188 [-3*x*(3*x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A274759 9.27532 [-x*(x^8+x^5+x^4+x^2+x+1)/(x^12+x^9+x^6+x^3-1) ogf] A274761 11.5494 [-(-2*x^3+8*x^2+6*x+2)/(-x^4+2*x^3+2*x^2+4*x-3) lgdogf] A274761 17.4330 [(x-3)/(x^3+x^2+x-1) ogf] A274761 8.24954 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=2,a(2)=5} ogf] A274761 8.63502 [(296*f(x)-743)*(f(x)*x^3+f(x)*x^2+f(x)*x-f(x)-x+3) ogf] A274766 11.4340 [-11*x/(x-1)/(100*x-1)/(10*x-1) ogf] A274766 5.01980 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=11,a(2)=1221} ogf] A274766 5.56248 [(111*f(x)+11)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)+11*x) ogf] A274766 7.71794 [-(3000*x^2-2220*x+111)/(1000*x^3-1110*x^2+111*x-1) lgdogf] A274768 7.63156 [(14*x^13-69*x^12+29*x^11+23*x^10+6*x^6+4*x^5+x^4-x-1)/(x^2+x-1) ogf] A274772 14.2114 [-(20*x^3+30*x^2+24*x+6)/(5*x^4+2*x^3-4*x^2-2*x-1) lgdogf] A274772 14.5623 [-x*(5*x^2+2*x+1)/(x+1)/(x-1)^5 ogf] A274786 3.79353 [{(-16*n^3-96*n^2-188*n-120)*a(n+1)+(-44*n^3-330*n^2-826*n-690)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=6,a(2)=114} ogf] A274798 10.6803 [-2*(x+1)^2/(2*x^3+6*x^2+2*x-1) ogf] A274798 5.76549 [{a(n+3)-2*a(n+2)-6*a(n+1)-2*a(n),a(0)=2,a(1)=8,a(2)=30} ogf] A274798 5.86938 [(9*f(x)+5)*(2*f(x)*x^3+6*f(x)*x^2+2*f(x)*x+2*x^2-f(x)+4*x+2) ogf] A274798 8.04321 [-(-2*x^3-6*x^2-10*x-4)/(-2*x^4-8*x^3-8*x^2-x+1) lgdogf] A274799 6.31103 [-2*(x^4+x^3-4*x^2-7*x-2)/(2*x^5+2*x^4-11*x^3-15*x^2-2*x+1) ogf] A274800 4.21248 [4*(2*x^6+3*x^5-28*x^4-43*x^3+5*x^2+11*x+2)/(2*x^7+23*x^6+60*x^5+41*x^4-42*x^3-35*x^2-2*x+1) ogf] A274806 4.8906 [-(f(x)-1)^3 ogf] A274817 11.4479 [-(x^3+6*x^2-3*x+1)/(x+1)/(2*x-1)/(x^2-x+1) ogf] A274817 6.52814 [(9*f(x)+427)*(2*f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A274830 10.1451 [-x*(2*x^2+3*x+2)/(x+1)^2/(x-1)^3 ogf] A274830 11.1048 [-(6*x^3+14*x^2+17*x+5)/(2*x^4+3*x^3-3*x-2) lgdogf] A274832 7.25811 [-27*x*(x^2+10*x+1)/(x-1)/(x^2-30*x+1)/(x^2+30*x+1) ogf] A274845 10.7004 [-(x^5-2*x^4+x^3+x^2+1)/(2*x^2-1)/(2*x^2+1)/(x^4+1) ogf] A274853 10.2971 [-(2*x^3-4*x^2+3*x+2)/(x^3-2*x^2+3*x-1) ogf] A274853 5.30224 [{a(n+4)-3*a(n+3)+2*a(n+2)-a(n+1),a(0)=2,a(1)=9,a(2)=19,a(3)=43} ogf] A274853 5.684 [(1325*f(x)+5098)*(f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x-4*x^2-f(x)+3*x+2) ogf] A274853 7.10500 [-(6*x^3-18*x^2+16*x-9)/(-2*x^6+8*x^5-17*x^4+18*x^3-9*x^2-3*x+2) lgdogf] A274854 5.78594 [(9*x^6-63*x^5+119*x^4-106*x^3+56*x^2-7*x-4)/(x-1)/(x^4-5*x^3+5*x^2-4*x+1) ogf] A274855 3.61221 [(54*x^9-373*x^8+1441*x^7-3116*x^6+3819*x^5-2791*x^4+1269*x^3-332*x^2+17*x+8)/(x^5-4*x^4+13*x^3-9*x^2+5*x-1)/(x-1)^3 ogf] A274868 14.8437 [-1/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A274868 8.02770 [-(-20*x^4+8*x^3+18*x^2-6*x-2)/(-4*x^5+2*x^4+6*x^3-3*x^2-2*x+1) lgdogf] A274869 9.62703 [1/(x-1)/(2*x-1)/(x+1)/(6*x^2-1)/(2*x^2-1) ogf] A274870 7.61339 [-1/(x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(x+1)/(6*x^2-1)/(2*x^2-1) ogf] A274871 5.63928 [1/(x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(x+1)/(12*x^2-1)/(6*x^2-1)/(2*x^2-1) ogf] A274890 4.78389 [(4*x^9-x^8-18*x^7+8*x^6+30*x^5-6*x^4-26*x^3-4*x^2+10*x+2)/(x-1)/(x+1)/(x^6-3*x^4+x^3+3*x^2+x-1) ogf] A274896 6.36105 [(x^5-8*x^4+20*x^3-22*x^2+16*x-6)/(x-1)/(x^4-5*x^3+5*x^2-4*x+1) ogf] A274897 3.92023 [(4*x^8-30*x^7+126*x^6-301*x^5+425*x^4-367*x^3+200*x^2-70*x+12)/(x^5-4*x^4+13*x^3-9*x^2+5*x-1)/(x-1)^3 ogf] A274922 12.6486 [-(-x+1)/(x^3+2*x^2+2*x+1) lgdogf] A274922 13.3645 [(x^2+x+1)/(x+1)^2 ogf] A274922 28.2166 [-(x-1)^2 ogf_with_Euler_transform] A274922 6.94432 [{a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=-1,a(2)=2} ogf] A274922 9.97636 [-f(x)*x^2-2*f(x)*x+x^2-f(x)+x+1 ogf] A274946 10.0558 [x*(5*x^4+6*x^3+8*x^2+6*x+5)/(x^6-x^5-x^3-x+1) ogf] A274952 8.37191 [-(x^5-x^4+x^3-x^2+x+4)/(x^6-x^5+x^4-x^3+x^2+3*x-1) ogf] A274954 4.46484 [(1223*f(x)+4437)*(f(x)*x^4+4*f(x)*x^3+3*x^4+12*x^3+4*f(x)*x-6*x^2-f(x)+12*x+3) ogf] A274954 7.62978 [-3*(x^4+4*x^3-2*x^2+4*x+1)/(x^2+1)/(x^2+4*x-1) ogf] A274968 3.96071 [2*(x+1)*(3*x^14-2*x^13+3*x^12+3*x^10+3*x^8+3*x^6+3*x^4+3*x^2+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A274969 5.55202 [27*f(x)^3*x^3-4*f(x)^3*x^2+27*f(x)^2*x^2-4*f(x)^2*x-96*f(x)*x^2+21*f(x)*x+64*x^2-f(x)-16*x+1 ogf] A274970 2.22392 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 egf] A274972 3.75238 [-(3740843783876400*f(x)+15342977768933)*(f(x)*x^3-975*f(x)*x^2+975*f(x)*x-5*x^2-f(x)+487*x+4) ogf] A274972 4.47284 [{-a(n+3)+975*a(n+2)-975*a(n+1)+a(n),a(0)=4,a(1)=4387,a(2)=4273420} ogf] A274972 8.34485 [(5*x^2-487*x-4)/(x-1)/(x^2-974*x+1) ogf] A274973 10.5397 [-(7*x^3-9*x^2-9*x-1)/(x-1)^4 ogf] A274973 10.8207 [-(-7*x^3-3*x^2+45*x+13)/(-7*x^4+16*x^3-8*x-1) lgdogf] A274973 4.29394 [{(37*n^2+346*n+544)*a(n+1)+(-2*n^2+86*n+713)*a(n+2)+(-35*n^2-216*n-333)*a(n+3),a(0)=1,a(1)=13,a(2)=55} ogf] A274973 5.59692 [(9616*f(x)+409565)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+7*x^3-4*f(x)*x-9*x^2+f(x)-9*x-1) ogf] A274974 10.5620 [-(x+1)*(5*x^2-8*x-1)/(x-1)^4 ogf] A274974 4.30303 [{(n^2+55*n+106)*a(n+1)+(22*n^2+148*n+416)*a(n+2)+(-23*n^2-131*n-186)*a(n+3),a(0)=1,a(1)=13,a(2)=49} ogf] A274974 5.68722 [(605*f(x)+32816)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-3*x^2+f(x)-9*x-1) ogf] A274974 9.91795 [-(-5*x^3-9*x^2+33*x+13)/(-5*x^4+8*x^3+6*x^2-8*x-1) lgdogf] A274975 13.6994 [-(x^2+4*x-3)/(x^3-x^2-2*x+1) ogf] A274975 7.26665 [-(f(x)-1)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+x^2+f(x)+4*x-3) ogf] A274975 7.46130 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=2,a(2)=6} ogf] A274975 8.52720 [-(x^4+8*x^3-11*x^2+4*x+2)/(x^5+3*x^4-9*x^3-4*x^2+10*x-3) lgdogf] A274977 10.1859 [{a(n+2)-a(n+1)-3*a(n),a(0)=1,a(1)=6} ogf] A274977 12.6552 [-(-15*x^2-6*x-6)/(-15*x^3-8*x^2+4*x+1) lgdogf] A274977 18.5610 [-(5*x+1)/(3*x^2+x-1) ogf] A274977 9.82638 [(f(x)-1)*(3*f(x)*x^2+f(x)*x-f(x)+5*x+1) ogf] A274978 10.9864 [-x*(x^2+12*x+1)/(x+1)^2/(x-1)^3 ogf] A274978 11.6998 [-(-3*x^3-49*x^2-19*x-13)/(-x^4-12*x^3+12*x+1) lgdogf] A274979 10.5434 [-x*(x^2+14*x+1)/(x+1)^2/(x-1)^3 ogf] A274979 11.2280 [-(-3*x^3-57*x^2-21*x-15)/(-x^4-14*x^3+14*x+1) lgdogf] A274981 10.3528 [{a(n+2),a(0)=1,a(1)=4} ogf] A274981 18.4872 [-4/(-4*x-1) lgdogf] A274981 19.1719 [1+4*x-f(x) ogf] A274998 19.1596 [-(-5*x-1)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A275009 9.29758 [-(x^6+2*x^5-2*x^4-3*x^3+2*x^2+2*x+2)/(x-1)^3/(x^2+x+1)^3 ogf] A275016 10.3966 [-(16*x^3-6*x^2-4*x-1)/(4*x^4-2*x^3-2*x^2-x+1) lgdogf] A275016 15.8892 [5*x^3/(2*x-1)/(x-1)/(2*x^2+2*x+1) ogf] A275016 8.50633 [-4*f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+5*x^3+f(x)*x-f(x) ogf] A275038 3.77123 [-(x^9+8*x^8+10*x^7-10*x^6-12*x^5-7*x^4-23*x^3+2*x^2-9*x-3)/(x^9+3*x^8-x^7-8*x^6-3*x^5-x^4-4*x^3+2*x^2-3*x+1) ogf] A275047 3.71570 [{(-729*n^4-4374*n^3-9801*n^2-9720*n-3600)*a(n+1)+(4*n^4+30*n^3+84*n^2+104*n+48)*a(n+2),a(0)=1,a(1)=18} ogf] A275051 3.73846 [{(2187*n^3+8991*n^2+12204*n+5460)*a(n+1)+(-3*n^3-16*n^2-28*n-16)*a(n+2),a(0)=1,a(1)=60} ogf] A275052 4.27492 [{(-4802*n^3-19208*n^2-25382*n-11088)*a(n+1)+(2*n^3+11*n^2+20*n+12)*a(n+2),a(0)=1,a(1)=112} ogf] A275053 4.32944 [{(-2187*n^3-8991*n^2-12042*n-5280)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=21} ogf] A275054 4.34669 [{(-2187*n^3-9234*n^2-12609*n-5610)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=24} ogf] A275060 11.3143 [-(x-1)/(x^2-974*x+1) ogf] A275060 5.42622 [-(947700*f(x)-971)*(f(x)*x^2-974*f(x)*x+f(x)+x-1) ogf] A275060 6.18338 [{a(n+2)-974*a(n+1)+a(n),a(0)=1,a(1)=973} ogf] A275100 10.4048 [-(21*x^3-7*x^2-5*x+1)/(x-1)/(6*x-1)/(3*x-1) ogf] A275100 5.54419 [{-a(n+4)+10*a(n+3)-27*a(n+2)+18*a(n+1),a(0)=1,a(1)=5,a(2)=16,a(3)=64} ogf] A275100 5.71094 [-(1425*f(x)+5551)*(18*f(x)*x^3-27*f(x)*x^2+21*x^3+10*f(x)*x-7*x^2-f(x)-5*x+1) ogf] A275101 5.01298 [-(14112*x^5-12240*x^4+1810*x^3+144*x^2-32*x+1)/(x-1)/(6*x-1)/(24*x-1)/(12*x-1)/(4*x-1) ogf] A275112 8.40898 [-x*(x^2+x+1)*(3*x^3+x^2+2*x+1)/(x+1)^2/(x^2+1)/(x-1)^5 ogf] A275126 3.79712 [-(x^9+5*x^8+10*x^7+4*x^6-11*x^5-7*x^4-6*x^3-7*x^2-x-5)/(x^9+3*x^8-x^7-8*x^6-3*x^5-x^4-4*x^3+2*x^2-3*x+1) ogf] A275132 6.70223 [-(4*x^5+5*x^4-3*x^3-5*x^2-6*x-2)/(2*x^2+x+1)/(2*x^3-4*x+1) ogf] A275133 3.26813 [(48*x^10-104*x^9+39*x^8+113*x^7-201*x^6-159*x^5+9*x^4+63*x^3+61*x^2+32*x+4)/(18*x^9-15*x^8+4*x^7+48*x^6-7*x^5-36*x^4-22*x^3-8*x^2-x+1) ogf] A275138 10.9603 [-4*(4*x^2+8*x+1)/(4*x^2+4*x-1) ogf] A275138 5.74110 [{a(n+3)-4*a(n+2)-4*a(n+1),a(0)=4,a(1)=48,a(2)=224} ogf] A275138 5.90996 [-(29*f(x)+208)*(4*f(x)*x^2+4*f(x)*x+16*x^2-f(x)+32*x+4) ogf] A275138 7.72840 [-(-16*x^2-16*x-12)/(-16*x^4-48*x^3-32*x^2+4*x+1) lgdogf] A275139 4.31489 [{-a(n+4)+3*a(n+3)+5*a(n+2)+a(n+1),a(0)=8,a(1)=144,a(2)=528,a(3)=2320} ogf] A275139 4.61362 [-(287*f(x)+296)*(f(x)*x^3+5*f(x)*x^2+8*x^3+3*f(x)*x+56*x^2-f(x)+120*x+8) ogf] A275139 8.33014 [-8*(x^3+7*x^2+15*x+1)/(x+1)/(x^2+4*x-1) ogf] A275140 5.68058 [16*(40*x^5-52*x^4-98*x^3-15*x^2+24*x+1)/(4*x^4-4*x^3-10*x^2-3*x+1) ogf] A275141 4.46060 [16*(144*x^6+1172*x^5-647*x^4-891*x^3-103*x^2+75*x+2)/(4*x^5+23*x^4-11*x^3-18*x^2-3*x+1) ogf] A275143 4.65963 [-(19454*f(x)+1182749)*(f(x)*x^3-20*x^4-2*f(x)*x^2+51*x^3+3*f(x)*x-18*x^2-f(x)+21*x+5) ogf] A275143 8.34132 [(20*x^4-51*x^3+18*x^2-21*x-5)/(x^3-2*x^2+3*x-1) ogf] A275144 4.34550 [2*(128*x^8-768*x^7+1132*x^6-969*x^5+798*x^4-446*x^3+277*x^2-73*x-7)/(x-1)/(x^4-5*x^3+5*x^2-4*x+1) ogf] A275151 13.5323 [-(9*x^2-31*x+8)/(x-1)/(x^2-6*x+1) ogf] A275151 6.8771 [(289656*f(x)+184145)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+9*x^2-f(x)-31*x+8) ogf] A275151 7.29570 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=8,a(1)=25,a(2)=128} ogf] A275151 7.84117 [-(-9*x^4+62*x^3-178*x^2+94*x-25)/(-9*x^5+94*x^4-288*x^3+282*x^2-87*x+8) lgdogf] A275155 11.3982 [-2*(8*x^2-31*x+9)/(x-1)/(x^2-6*x+1) ogf] A275155 5.88295 [(256268*f(x)+365871)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+16*x^2-f(x)-62*x+18) ogf] A275155 6.28866 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=18,a(1)=64,a(2)=338} ogf] A275155 6.75449 [-(-8*x^4+62*x^3-188*x^2+110*x-32)/(-8*x^5+87*x^4-282*x^3+288*x^2-94*x+9) lgdogf] A275163 10.8444 [-(24*x^2+28*x-33)/(24*x^3-22*x^2-9*x+7) lgdogf] A275163 16.2666 [(12*x+7)/(2*x-1)/(x-1) ogf] A275163 8.40745 [(71*f(x)+592)*(2*f(x)*x^2-3*f(x)*x+f(x)-12*x-7) ogf] A275163 9.01523 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=7,a(1)=33} ogf] A275173 4.69878 [-(2*x^14+3*x^13+4*x^12+6*x^11+9*x^10-10*x^9-12*x^8-13*x^7-14*x^6-15*x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^10-15*x^5+1) ogf] A275175 5.10608 [-(3*x^14+5*x^13+7*x^12+13*x^11+23*x^10-22*x^9-28*x^8-30*x^7-32*x^6-34*x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^10-34*x^5+1) ogf] A275176 4.52973 [-(4*x^14+7*x^13+10*x^12+22*x^11+43*x^10-38*x^9-50*x^8-53*x^7-56*x^6-59*x^5+x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^10-59*x^5+1) ogf] A275178 5.52798 [(5*x^7+11*x^6-17*x^5-4*x^4+12*x^3-9*x^2-4*x+5)/(x-1)/(x^4+2*x^3-3*x^2+3*x-1) ogf] A275184 4.67360 [{a(n+4)-2*a(n+3)-4*a(n+2)-3*a(n+1),a(0)=4,a(1)=12,a(2)=41,a(3)=141} ogf] A275184 5.16757 [(-19+1773*f(x))*(3*f(x)*x^3+4*f(x)*x^2-x^3+2*f(x)*x+x^2-f(x)+4*x+4) ogf] A275184 9.21174 [(x^3-x^2-4*x-4)/(3*x^3+4*x^2+2*x-1) ogf] A275185 3.97127 [{a(n+5)-2*a(n+4)-7*a(n+3)-8*a(n+2),a(0)=8,a(1)=21,a(2)=85,a(3)=353,a(4)=1465} ogf] A275185 4.50874 [(264*f(x)-653)*(8*f(x)*x^3-4*x^4+7*f(x)*x^2-28*x^3+2*f(x)*x-13*x^2-f(x)+5*x+8) ogf] A275185 7.59066 [(4*x^4+28*x^3+13*x^2-5*x-8)/(8*x^3+7*x^2+2*x-1) ogf] A275186 4.74379 [(112*x^6+40*x^5-36*x^4-196*x^3-85*x^2+5*x+16)/(x-1)/(16*x^5+28*x^4+32*x^3+13*x^2+x-1) ogf] A275195 12.1312 [(7*x+3)*(7*x-1)/(49*x^3+49*x^2+7*x-1) ogf] A275195 6.51679 [-(11*f(x)+23)*(49*f(x)*x^3+49*f(x)*x^2+7*f(x)*x-49*x^2-f(x)-14*x+3) ogf] A275195 6.79768 [{a(n+3)-7*a(n+2)-49*a(n+1)-49*a(n),a(0)=3,a(1)=7,a(2)=147} ogf] A275195 6.85679 [-(-2401*x^4-1372*x^3+98*x^2+196*x+7)/(-2401*x^5-3087*x^4-882*x^3+98*x^2+35*x-3) lgdogf] A275222 9.87126 [-(x^2-x-1)*(x^3+x^2+2*x-2)/(x-1)/(x^4-x^3-x^2-2*x+1) ogf] A275229 13.3959 [-(3*x-2)/(8*x^2-7*x+1) ogf] A275229 6.62435 [-(45*f(x)+31)*(8*f(x)*x^2-7*f(x)*x+f(x)+3*x-2) ogf] A275229 7.26283 [{a(n+2)-7*a(n+1)+8*a(n),a(0)=2,a(1)=11} ogf] A275229 8.61164 [-(-24*x^2+32*x-11)/(-24*x^3+37*x^2-17*x+2) lgdogf] A275230 5.18646 [2*(x^5-9*x^4+17*x^3-3*x^2-11*x+4)/(x-1)/(6*x^4-14*x^3+x^2+10*x-1) ogf] A275231 2.75752 [-(-666858099885+76926715124*f(x))*(44*f(x)*x^4-101*f(x)*x^3-154*x^4+75*f(x)*x^2+436*x^3-19*f(x)*x-404*x^2+f(x)+142*x-16) ogf] A275231 5.12509 [2*(77*x^4-218*x^3+202*x^2-71*x+8)/(x-1)/(44*x^3-57*x^2+18*x-1) ogf] A275238 11.2196 [-(810*x^12-90*x^11-900*x^10-12*x^2-9*x-1)/(x+1)/(x-1)^2 ogf] A275260 4.05226 [-(8*x^9-16*x^7+4*x^6+2*x^5-6*x^4+2*x^3+8*x^2-x-2)/(8*x^9-8*x^8-12*x^7+16*x^6-4*x^5-6*x^4+6*x^3+2*x^2-4*x+1) ogf] A275267 4.48900 [{a(n+4)-6*a(n+3)+2*a(n+2)+6*a(n+1),a(0)=5,a(1)=24,a(2)=128,a(3)=688} ogf] A275267 5.04093 [(83*f(x)-114)*(6*f(x)*x^3+2*f(x)*x^2+2*x^3-6*f(x)*x+6*x^2+f(x)+6*x-5) ogf] A275267 8.91294 [-(2*x^3+6*x^2+6*x-5)/(6*x^3+2*x^2-6*x+1) ogf] A275268 4.46340 [2*(16*x^6-44*x^5+8*x^4+15*x^3+9*x^2+24*x-7)/(16*x^6-12*x^5-8*x^4-9*x^3-7*x^2+8*x-1) ogf] A275277 10.3490 [(6*x^3+3*x^2-1)/(x^4+3*x^3+3*x^2+x-1) ogf] A275277 5.85641 [-f(x)*(f(x)*x^4+3*f(x)*x^3+3*f(x)*x^2-6*x^3+f(x)*x-3*x^2-f(x)+1) ogf] A275286 3.00750 [{(-16*n^4-160*n^3-600*n^2-1000*n-625)*a(n+1)+(-8*n^2-40*n-48)*a(n+2)+(n^2+5*n+6)*a(n+3),a(0)=1,a(1)=8,a(2)=209/2} egf] A275346 10.6555 [(x^5+x^4-x-2)/(x-1)/(x+1) ogf] A275359 5.52695 [-x^2*(4*x^5+128*x^4+99*x^3-37*x^2+145*x+21)/(x-1)^7 ogf] A275363 10.5563 [-3*(x+1)*(x^3-x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A275365 10.9395 [-(x^4-4*x-1)/(x^5-2*x^3-x^2+x+1) lgdogf] A275365 12.9122 [-2*x*(x^3-x-1)/(x-1)^2/(x+1)^2 ogf] A275365 7.79845 [-(f(x)+9)*(f(x)*x^4+2*x^4-2*f(x)*x^2-2*x^2+f(x)-2*x) ogf] A275372 8.13048 [-(-4*x^7-x^6-7*x^5-x^4-2*x^3-x^2-7*x-1)/(x^8-1) ogf_with_Euler_transform] A275372 99.9999 Evaluated at exp(-Pi) 1/16*exp(3/8*Pi)/Pi*2^(1/8)/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))*(2-2^(1/2))^(1/2) A275395 4.31819 [-(2*x^9-2*x^8+4*x^7-14*x^6+3*x^5+10*x^4-4*x^3-4*x^2+5*x+2)/(x^9-2*x^8+x^7-3*x^6+4*x^5+x^4-3*x^3+x^2+2*x-1) ogf] A275402 5.18893 [-(5*f(x)-3)*(4*f(x)*x^3+6*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+4*x+3) ogf] A275402 5.23444 [{-a(n+3)+4*a(n+2)+6*a(n+1)+4*a(n),a(0)=3,a(1)=16,a(2)=84} ogf] A275402 9.78239 [-(2*x^2+4*x+3)/(4*x^3+6*x^2+4*x-1) ogf] A275403 5.35348 [(8*x^5-20*x^4-14*x^3+19*x^2+13*x+6)/(24*x^5-2*x^4-25*x^3-11*x^2-3*x+1) ogf] A275424 16.5030 [1+x+1/2*x^2+1/120*x^5 lgdegf] A275434 10.391 [4*f(x)*x^3+2*x^4-2*x^3-3*f(x)*x+f(x) ogf] A275434 11.5276 [-(4*x^2-4*x-2)/(2*x^3-x^2-2*x+1) lgdogf] A275434 13.9201 [-2*x^3*(x-1)/(x+1)/(2*x-1)^2 ogf] A275434 5.99808 [{a(n+5)-3*a(n+4)+4*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=2,a(4)=4} ogf] A275436 10.1762 [-2*x^2/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A275436 8.51707 [-(-8*x^5+x^4+9*x^3+2*x^2+7*x+1)/(-x^6+2*x^4+2*x^2-1) lgdogf] A275439 10.3384 [-(6*x^3+9*x^2+5*x+1)/(x^4+2*x^3+x^2-1) lgdogf] A275439 11.3872 [2*x^3/(x^2+x+1)/(x^2+x-1)^2 ogf] A275441 8.35134 [2*x^4*(x-1)*(x+1)/(x^2+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A275443 10.2151 [-(-6*x^4+6*x^3+2)/(-x^5+x^4-x^3+2*x-1) lgdogf] A275443 9.13351 [-2*(x-1)*x^4/(x+1)/(x^3-x^2+2*x-1)^2 ogf] A275445 7.66418 [-(-7*x^7-19*x^6-34*x^5-38*x^4-31*x^3-17*x^2-8*x-2)/(-x^8-3*x^7-6*x^6-7*x^5-6*x^4-3*x^3+x+1) lgdogf] A275445 9.91422 [2*x^3*(x^2+x+1)/(x^2+1)/(x+1)/(x^3+x^2+x-1)^2 ogf] A275447 6.86037 [-2*x^3*(x-1)*(x+1)/(x^2+1)/(x^4-2*x^2-x+1)^2 ogf] A275447 7.18706 [-(-8*x^7+12*x^5+2*x^4-4*x^2-4*x-2)/(-x^8+2*x^6+x^5-2*x^2-x+1) lgdogf] A275448 7.5266 [-f(x)^2*x^4+f(x)^2*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-x+1 ogf] A275452 3.78875 [{(2187*n^3+9477*n^2+13446*n+6240)*a(n+1)+(-3*n^3-16*n^2-28*n-16)*a(n+2),a(0)=1,a(1)=84} ogf] A275453 4.41568 [{(-2187*n^3-9477*n^2-13446*n-6240)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=42} ogf] A275454 4.45018 [{(-2187*n^3-9720*n^2-14067*n-6630)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=48} ogf] A275455 4.59265 [{(-2187*n^3-9963*n^2-14796*n-7140)*a(n+1)+(3*n^3+16*n^2+28*n+16)*a(n+2),a(0)=1,a(1)=120} ogf] A275456 4.61410 [{(-2187*n^3-10449*n^2-16254*n-8160)*a(n+1)+(3*n^3+16*n^2+28*n+16)*a(n+2),a(0)=1,a(1)=168} ogf] A275457 4.55838 [{(2187*n^3+9234*n^2+12933*n+6006)*a(n+1)+(-3*n^3-16*n^2-28*n-16)*a(n+2),a(0)=1,a(1)=120} ogf] A275458 4.59707 [{(-2187*n^3-10449*n^2-16578*n-8736)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=210} ogf] A275459 4.63112 [{(-2187*n^3-10692*n^2-17307*n-9282)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=240} ogf] A275460 4.59265 [{(2187*n^3+9720*n^2+14229*n+6864)*a(n+1)+(-3*n^3-16*n^2-28*n-16)*a(n+2),a(0)=1,a(1)=168} ogf] A275461 4.54124 [{(-2187*n^3-9963*n^2-14958*n-7392)*a(n+1)+(3*n^3+17*n^2+32*n+20)*a(n+2),a(0)=1,a(1)=105} ogf] A275496 5.82024 [-x*(x^6+34*x^5+79*x^4+156*x^3+79*x^2+34*x+1)/(x+1)^3/(x-1)^5 ogf] A275498 8.56241 [(x^5-2*x^4-6*x^3+3*x^2+7*x+2)/(x^4-2*x^2-x+1) ogf] A275499 4.03784 [(36*x^10-4*x^9-106*x^8+11*x^7+97*x^6+141*x^5-72*x^4-122*x^3-38*x^2+44*x+5)/(x-1)/(x^6-3*x^4+x^3+3*x^2+x-1) ogf] A275505 4.861 [(2529*f(x)-2524)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+20*x+12) ogf] A275505 4.98672 [{a(n+3)-3*a(n+2)-5*a(n+1)-a(n),a(0)=12,a(1)=56,a(2)=232} ogf] A275505 9.18189 [-4*(x^2+5*x+3)/(x+1)/(x^2+4*x-1) ogf] A275506 3.45936 [(-5628939776+882845045*f(x))*(4*f(x)*x^4-4*f(x)*x^3-20*x^4-10*f(x)*x^2+56*x^3-3*f(x)*x+36*x^2+f(x)-32*x-24) ogf] A275506 6.38651 [4*(5*x^4-14*x^3-9*x^2+8*x+6)/(4*x^4-4*x^3-10*x^2-3*x+1) ogf] A275507 5.03654 [4*(59*x^5+60*x^4-123*x^3-74*x^2+14*x+12)/(4*x^5+23*x^4-11*x^3-18*x^2-3*x+1) ogf] A275521 14.0705 [-(2*x^4+6*x^2+3*x)/(-2*x^3-3) lgdegf] A275539 3.85404 [{a(n)*n+(-n+1)*a(n+1)-a(n+2)*n^2+(n^2-1)*a(n+3),a(0)=1,a(1)=2,a(2)=2,a(3)=2,a(4)=3/2} egf] A275543 12.0703 [-(x^3+7*x^2-x+1)/(x+1)/(x-1)^3 ogf] A275543 6.82664 [(23*f(x)-102)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+7*x^2-f(x)-x+1) ogf] A275543 8.41262 [-(-x^4-16*x^3-14*x^2-16*x-1)/(-x^5-7*x^4+2*x^3+6*x^2-x+1) lgdogf] A275546 8.64423 [-(165*x^4-924*x^3+990*x^2-220*x+5)/(11*x^5-165*x^4+462*x^3-330*x^2+55*x-1) ogf] A275560 4.85648 [(f(x)+11)*(16*f(x)*x^4+96*x^4-8*f(x)*x^2+36*x^3-2*f(x)*x-30*x^2+f(x)-30*x-3) ogf] A275560 7.87696 [-3*(32*x^4+12*x^3-10*x^2-10*x-1)/(16*x^4-8*x^2-2*x+1) ogf] A275561 3.32552 [-6*(3*x^10-5*x^9-10*x^8+13*x^7+16*x^6-43*x^5+18*x^4+23*x^3+4*x^2-13*x-1)/(x^4-4*x^3+6*x^2-5*x+1)/(x^6+2*x^5-x^4-5*x^3-x^2+2*x+1) ogf] A275566 4.33883 [-3*(5*x^9-8*x^8-4*x^7+25*x^6-25*x^5-19*x^4+23*x^3+12*x^2-15*x-1)/(x^3-2*x^2+3*x-1)/(x^6-3*x^4+2*x^2-1) ogf] A275571 8.82464 [-(8*x^5-32*x^4+32*x^3-8*x^2+x+1)/(x-1)/(x^2-3*x+1) ogf] A275580 15.9952 [-x^9+x^4+x^3+x^2+2 ogf_with_Euler_transform] A275580 6.18656 [(x^4-x^3+x^2-x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A275591 12.5010 [-(-7*x^2+2*x+11)/(-7*x^3+15*x^2-7*x-1) lgdogf] A275591 13.5257 [(7*x^2-8*x-1)/(x-1)^3 ogf] A275591 7.17449 [(97*f(x)-7234)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-7*x^2-f(x)+8*x+1) ogf] A275591 7.23742 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=23} ogf] A275607 10.3168 [-27/8*x^2-1/8+1/8*(729*x^4+54*x^2+16*x+1)^(1/2) revogf] A275607 17.2695 [-4*x-1+f(x)-27*f(x)^2*x^2 ogf] A275607 6.45851 [{(-12*n^2-54*n-54)*a(n+1)+(n^2+6*n+8)*a(n+2),a(0)=1,a(1)=4} ogf] A275615 11.1322 [-(2481*f(x)+93989)*(f(x)*x^3+8*x^2-f(x)+9*x+1) ogf] A275615 12.5970 [{-a(n+3)+a(n),a(0)=1,a(1)=9,a(2)=8} ogf] A275615 19.5381 [-(x+1)*(8*x+1)/(x-1)/(x^2+x+1) ogf] A275615 9.76907 [-(8*x^4+18*x^3+3*x^2+16*x+9)/(8*x^5+9*x^4+x^3-8*x^2-9*x-1) lgdogf] A275627 12.5852 [-(6*x^5+5*x^4+4*x^3+3*x^2+2*x+8)/(x^6+x-1) ogf] A275634 14.0472 [-(2*x^2+2*x-3)/(3*x^3+2*x^2-5*x+1) ogf] A275634 7.32376 [-(23*f(x)-28)*(3*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+2*x^2+f(x)+2*x-3) ogf] A275634 7.51649 [{a(n+3)-5*a(n+2)+2*a(n+1)+3*a(n),a(0)=3,a(1)=13,a(2)=57} ogf] A275634 8.23923 [-(-6*x^4-12*x^3+13*x^2+16*x-13)/(-6*x^5-10*x^4+15*x^3+14*x^2-17*x+3) lgdogf] A275635 5.14762 [(195*f(x)-32)*(729*f(x)*x^4-1080*f(x)*x^3+390*f(x)*x^2+180*x^3-40*f(x)*x-24*x^2+f(x)) ogf] A275635 9.20138 [-12*x^2*(15*x-2)/(x-1)/(3*x-1)/(27*x-1)/(9*x-1) ogf] A275636 10.8804 [2*x*(5*x-1)/(x-1)/(3*x-1)/(9*x-1) ogf] A275636 5.77135 [{-a(n+3)+13*a(n+2)-39*a(n+1)+27*a(n),a(0)=0,a(1)=2,a(2)=16} ogf] A275636 5.77136 [-(4*f(x)+1)*(27*f(x)*x^3-39*f(x)*x^2+13*f(x)*x-10*x^2-f(x)+2*x) ogf] A275636 7.21418 [-(270*x^3-276*x^2+78*x-8)/(135*x^4-222*x^3+104*x^2-18*x+1) lgdogf] A275637 6.60216 [12*x^2*(891*x^2-57*x-2)/(x-1)/(81*x-1)/(3*x-1)/(9*x-1)/(27*x-1) ogf] A275638 13.3964 [1/(x^2+1)/(x^2+x+1)/(x+1)^2 ogf] A275638 24.6777 [x^3+x^2+x-3 ogf_with_Euler_transform] A275639 19.9655 [x^4+x^3+x^2+x-4 ogf_with_Euler_transform] A275639 8.29714 [1/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2 ogf] A275640 17.2362 [x^5+x^4+x^3+x^2+x-5 ogf_with_Euler_transform] A275640 5.54332 [1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3 ogf] A275641 15.0308 [x^6+x^5+x^4+x^3+x^2+x-6 ogf_with_Euler_transform] A275643 16.2840 [(11/x^12-12/x^11+1)*x^12/(x-1) ogf_with_Euler_transform] A275653 4.00485 [{(432*n^4+2592*n^3+5793*n^2+5715*n+2100)*a(n+1)+(-4*n^4-28*n^3-73*n^2-84*n-36)*a(n+2),a(0)=1,a(1)=18} ogf] A275655 3.30624 [{(-2304*n^4-13824*n^3-30848*n^2-30336*n-11088)*a(n+1)+(9*n^4+63*n^3+164*n^2+188*n+80)*a(n+2),a(0)=1,a(1)=40} ogf] A275658 5.37322 [-(910*x^18-910*x^17+10*x^16-10*x^15+33*x^14-32*x^13+44*x^12-44*x^11-x^9+4*x^4-3*x^3-x^2-1)/(x-1)^2 ogf] A275673 10.2611 [-(x^7-x^6+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A275695 13.5365 [(f(x)*x-f(x)+1)^3 ogf] A275704 12.1131 [-(8*x^8+8*x^7+x^6+5*x^5+2*x^4+x^3+2*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A275707 16.2280 [2*exp(x)*x+2*exp(x) lgdegf] A275709 11.6738 [-x*(x^2-8*x-5)/(x-1)^4 ogf] A275709 12.9120 [-(-2*x^2+22*x+28)/(-x^3+9*x^2-3*x-5) lgdogf] A275709 4.26094 [{(-15-5*n)*a(n+4)+(22-3*n)*a(n+3)+(31+9*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=5,a(2)=28,a(3)=81} ogf] A275709 6.08706 [(1992*f(x)+12631)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-8*x^2+f(x)-5*x) ogf] A275766 12.4495 [-6*(25*x-26)/(25*x-1)/(x-1) ogf] A275766 6.4788 [(7813*f(x)+52575)*(25*f(x)*x^2-26*f(x)*x+f(x)+150*x-156) ogf] A275766 7.13397 [{-a(n+2)+26*a(n+1)-25*a(n),a(0)=156,a(1)=3906} ogf] A275766 8.03700 [-(-625*x^2+1300*x-651)/(-625*x^3+1300*x^2-701*x+26) lgdogf] A275778 12.0066 [(2*x+1)*(x-1)/(x^3+x^2+x-1) ogf] A275778 6.20679 [-(68*f(x)-201)*(f(x)*x^3+f(x)*x^2+f(x)*x-2*x^2-f(x)+x+1) ogf] A275778 6.53930 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=1} ogf] A275778 8.71907 [-(-2*x^4+2*x^3+6*x^2-2*x+2)/(-2*x^5-x^4+4*x^2-1) lgdogf] A275788 11.8811 [-(x^2+x+1)*x/(x+1)/(2*x-1)/(x^2-x+1) ogf] A275788 6.60062 [(38*f(x)+41)*(2*f(x)*x^4-f(x)*x^3+x^3+2*f(x)*x+x^2-f(x)+x) ogf] A275793 10.2004 [-(-11*x^2+18*x-43)/(-11*x^3+75*x^2-65*x+9) lgdogf] A275793 15.5224 [-(11*x-9)/(x^2-6*x+1) ogf] A275793 7.59607 [-(240*f(x)-311)*(f(x)*x^2-6*f(x)*x+f(x)+11*x-9) ogf] A275793 8.60277 [{a(n+2)-6*a(n+1)+a(n),a(0)=9,a(1)=43} ogf] A275794 10.3971 [-(3*x^2+4*x-15)/(3*x^3-16*x^2-9*x+2) lgdogf] A275794 15.2491 [(3*x+2)/(x^2-6*x+1) ogf] A275794 7.88749 [(86*f(x)+53)*(f(x)*x^2-6*f(x)*x+f(x)-3*x-2) ogf] A275794 8.26760 [{-a(n+2)+6*a(n+1)-a(n),a(0)=2,a(1)=15} ogf] A275795 10.5722 [-(-9*x^2+22*x-57)/(-9*x^3+65*x^2-75*x+11) lgdogf] A275795 15.8584 [-(9*x-11)/(x^2-6*x+1) ogf] A275795 7.76049 [-(320*f(x)-271)*(f(x)*x^2-6*f(x)*x+f(x)+9*x-11) ogf] A275795 8.68435 [{a(n+2)-6*a(n+1)+a(n),a(0)=11,a(1)=57} ogf] A275796 14.0048 [(2*x+3)/(x^2-6*x+1) ogf] A275796 7.24386 [(57*f(x)+29)*(f(x)*x^2-6*f(x)*x+f(x)-2*x-3) ogf] A275796 7.59296 [{-a(n+2)+6*a(n+1)-a(n),a(0)=3,a(1)=20} ogf] A275796 9.54873 [-(-2*x^2-6*x+20)/(-2*x^3+9*x^2+16*x-3) lgdogf] A275797 8.86615 [-(7*x^5+9*x^4+11*x^3-21*x^2-11*x-9)/(x^6-6*x^3+1) ogf] A275799 4.81646 [-(x^6+18*x^5+55*x^4+92*x^3+55*x^2+18*x+1)/(x+1)^3/(x-1)^7 ogf] A275825 5.26926 [{(n+3)*a(n+1)+(n+1)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A275827 3.23995 [{(-8*n^2-36*n-40)*a(n+1)+(17*n^2+125*n+224)*a(n+2)+(-2*n^2-16*n-30)*a(n+3),a(0)=1,a(1)=7,a(2)=50} ogf] A275827 5.90248 [-64*f(x)^2*x^3+8*f(x)^2*x^2-16*f(x)*x^2-6*f(x)*x+f(x)-x-1 ogf] A275830 17.5326 [-(14*x+3)/(49*x^3-7*x-1) ogf] A275830 8.58368 [{-a(n+3)-7*a(n+2)+49*a(n),a(0)=3,a(1)=-7,a(2)=49} ogf] A275830 9.364 [(f(x)+39)*(49*f(x)*x^3-7*f(x)*x-f(x)+14*x+3) ogf] A275830 9.47164 [-(1372*x^3+441*x^2-7)/(686*x^4+147*x^3-98*x^2-35*x-3) lgdogf] A275831 10.0462 [{a(n+3)-7*a(n+1)-7*a(n),a(0)=3,a(1)=0,a(2)=14} ogf] A275831 10.8546 [-(-49*x^4+63*x^2+28*x)/(-49*x^5-49*x^4+21*x^3+28*x^2-3) lgdogf] A275831 14.0947 [-7*f(x)*x^3-7*f(x)*x^2+7*x^2+f(x)-3 ogf] A275831 17.8179 [(7*x^2-3)/(7*x^3+7*x^2-1) ogf] A275856 10.0582 [-(2*x^3-2*x^2+3*x-1)/(x-1)/(x^4+x^3+3*x-1) ogf] A275857 9.86678 [-(x^3-x^2+2*x-1)/(x-1)/(x^4+x^3+3*x-1) ogf] A275858 14.6988 [1/(x^4+x^3+2*x^2-x+1) ogf] A275858 5.85563 [-(17*f(x)-10)*(f(x)*x^4+f(x)*x^3+2*f(x)*x^2-f(x)*x+f(x)-1) ogf] A275858 9.00304 [-(4*x^3+3*x^2+4*x-1)/(x^4+x^3+2*x^2-x+1) lgdogf] A275859 9.52042 [-(2*x^3-4*x^2+4*x-1)/(x-1)/(x^4+4*x-1) ogf] A275860 7.52135 [(x^6-3*x^5+3*x^4-2*x^3+2*x^2-4*x+1)/(x-1)/(x^2+x+1)/(x^4-x^3+5*x-1) ogf] A275861 5.87240 [-(4*x^5-9*x^4+10*x^3-9*x^2+6*x-1)/(x-1)/(x^2+1)/(x^4-2*x^3+6*x-1) ogf] A275874 12.1367 [x*(4*x^2-11*x+8)/(x-1)^4 ogf] A275874 13.2076 [-(-8*x^2+25*x-21)/(-4*x^3+15*x^2-19*x+8) lgdogf] A275874 4.44613 [{(24+8*n)*a(n+4)+(-59-19*n)*a(n+3)+(40+15*n)*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=8,a(2)=21,a(3)=40} ogf] A275874 6.50811 [(103*f(x)-540)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x+11*x^2+f(x)-8*x) ogf] A275876 12.9217 [4*x*(x^2+2*x-1)/(x-1)^4 ogf] A275876 14.7389 [-(2*x^2+8*x-2)/(x^3+x^2-3*x+1) lgdogf] A275876 4.83737 [{(-3-n)*a(n+4)+(8+3*n)*a(n+3)+(-9-n)*a(n+2)+(-n-2)*a(n+1),a(0)=0,a(1)=-4,a(2)=-8,a(3)=-4} ogf] A275876 7.09238 [(2*f(x)+5)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-8*x^2+f(x)+4*x) ogf] A275903 14.3471 [-(4*x^2+1)/(4*x^3-4*x^2+5*x-1) ogf] A275903 7.23702 [{a(n+3)-5*a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A275903 7.64282 [(f(x)-1)*(4*f(x)*x^3-4*f(x)*x^2+5*f(x)*x+4*x^2-f(x)+1) ogf] A275903 9.29299 [-(-16*x^4+8*x^2-5)/(-16*x^5+16*x^4-24*x^3+8*x^2-5*x+1) lgdogf] A275905 13.8254 [(x+1)*(2*x-1)/(2*x^3-3*x^2+6*x-1) ogf] A275905 7.20808 [-(11*f(x)+14)*(2*f(x)*x^3-3*f(x)*x^2+6*f(x)*x-2*x^2-f(x)-x+1) ogf] A275905 7.46325 [{a(n+3)-6*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A275905 8.60558 [-(-4*x^4-4*x^3+21*x^2-10*x+5)/(-4*x^5+4*x^4-7*x^3-7*x^2+7*x-1) lgdogf] A275906 14.2609 [-(x^2+x+1)/(x^3+4*x^2+4*x-1) ogf] A275906 7.69835 [{-a(n+3)+4*a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A275906 7.76707 [(22*f(x)+3)*(f(x)*x^3+4*f(x)*x^2+4*f(x)*x+x^2-f(x)+x+1) ogf] A275906 8.96818 [-(-x^4-2*x^3-3*x^2-10*x-5)/(-x^5-5*x^4-9*x^3-7*x^2-3*x+1) lgdogf] A275907 13.8858 [(x^3-x-1)/(x^5+x^4+4*x-1) ogf] A275908 6.64442 [-(x^6+4*x^5+6*x^4+4*x^3+4*x^2+2*x+1)/(x^7+5*x^6+7*x^5+7*x^4+6*x^3+x^2+3*x-1) ogf] A275909 6.59168 [-(2*x^6+4*x^5+7*x^4+8*x^3+8*x^2+4*x+1)/(2*x^7+4*x^6+7*x^5+6*x^4+12*x^3+7*x^2+x-1) ogf] A275910 10.5056 [(2*x^6+x^5+x^4+x^3+x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A275930 5.43903 [-(3*x^6-39*x^5-311*x^4+766*x^3+689*x^2-191*x-5)/(x+1)/(x^2+7*x+1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A275931 6.95924 [-(x^4-47*x^3+195*x^2-70*x+2)/(x-1)/(x^2-47*x+1)/(x^2-7*x+1) ogf] A275932 7.22644 [(x^3-55*x^2-127*x-8)/(x-1)/(x^2-47*x+1)/(x^2-7*x+1) ogf] A275944 4.2695 [(30336700336697*f(x)+128000000)*(1000000*f(x)*x^4-1111000*f(x)*x^3+112110*f(x)*x^2-1111*f(x)*x+f(x)-1) ogf] A275944 5.62152 [-(-4000000*x^3+3333000*x^2-224220*x+1111)/(-1000000*x^4+1111000*x^3-112110*x^2+1111*x-1) lgdogf] A275944 9.77655 [1/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A275970 13.5820 [-(2*x^3+10*x^2-16*x+6)/(2*x^4+x^3-9*x^2+8*x-2) lgdogf] A275970 18.2577 [(x^2+2*x-2)/(2*x-1)/(x-1)^2 ogf] A275970 9.28102 [-(107*f(x)+1047)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)-2*x+2) ogf] A275970 9.85593 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=6,a(2)=13} ogf] A276009 9.03047 [2*x^4*(12*x^44-7*x^20+x^18+2*x^14+x^12+2*x^8+x^6-x^2+1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A276014 4.37330 [{(-2304*n^4-13440*n^3-29232*n^2-28104*n-10080)*a(n+1)+(n^4+8*n^3+24*n^2+32*n+16)*a(n+2),a(0)=1,a(1)=72} ogf] A276016 3.79811 [{(243*n^3+1053*n^2+1512*n+720)*a(n+1)+(-n^3-6*n^2-12*n-8)*a(n+2),a(0)=1,a(1)=18} ogf] A276016 9.52746 [hypergeom([1/3,1/3,2/3],[1,1],243*x) ogf] A276018 15.9972 [hypergeom([1/3,1/3],[1],27*x) ogf] A276018 6.50293 [{(-27*n^2-72*n-48)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=3} ogf] A276019 5.45147 [{(-2000*n^2-6000*n-4500)*a(n+1)+(88*n^2+396*n+450)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=10,a(2)=230} ogf] A276021 3.59263 [{(-3969*n^2-13230*n-11025)*a(n+1)+(117*n^2+546*n+645)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=21,a(2)=693} ogf] A276026 14.8966 [-(-23*x^2+62*x-51)/(-23*x^3+77*x^2-89*x+35) lgdogf] A276026 16.0252 [-4*(23*x^2-54*x+35)/(x-1)^3 ogf] A276026 8.741 [(99*f(x)+12110)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+92*x^2-f(x)-216*x+140) ogf] A276026 8.96322 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=140,a(1)=204,a(2)=284} ogf] A276031 6.46161 [x*(x^6-2*x^5+x^4-x^3+2*x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A276041 12.1012 [-(-8*x^2-8*x-6)/(-8*x^3+4*x^2-2*x+1) lgdogf] A276041 13.3531 [-(4*x^2+1)/(2*x-1)^3 ogf] A276041 6.79368 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=6,a(2)=28} ogf] A276041 7.17109 [(9*f(x)-4)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)+1) ogf] A276042 6.81352 [-(-20*x^4+32*x^3-42*x^2+16*x-4)/(-20*x^5+46*x^4-50*x^3+28*x^2-8*x+1) lgdogf] A276042 7.01590 [-(10*x^4-18*x^3+16*x^2-6*x+1)/(2*x-1)^5 ogf] A276054 5.22102 [-2*x^3*(x-1)*(x+1)*(x^4-x^3-1)/(x^2+1)/(x^3-x-1)/(x^3-2*x^2-x+1)^2 ogf] A276055 10.9175 [-(x^2+1)*(x^3-x-1)/(x^6-2*x^4-x^2+1) ogf] A276057 10.3393 [2*x^4/(x^3+x+1)/(x^3+x-1)^2 ogf] A276057 9.36616 [-(-9*x^5-12*x^3-3*x^2-3*x-1)/(-x^6-2*x^4-x^2+1) lgdogf] A276059 8.87919 [-2*x^7*(x-1)/(x+1)/(x^3-x+1)/(x^3+x-1)^2 ogf] A276061 6.66902 [2*x^5*(x-1)*(x^2+x+1)/(x+1)/(x^2-x+1)/(x^3-x-1)/(x^3+x-1)^2 ogf] A276063 8.46374 [2*x^5/(x^4+x+1)/(x^4+x-1)^2 ogf] A276063 9.25107 [-(-12*x^7-15*x^4-4*x^3-3*x-1)/(-x^8-2*x^5-x^2+1) lgdogf] A276065 8.34727 [2*x^6/(x^2+x+1)/(x^3-x^2+1)/(x^2-x+1)^2/(x^3+x^2-1)^2 ogf] A276065 9.21078 [-(-15*x^9-18*x^5-5*x^4-3*x-1)/(-x^10-2*x^6-x^2+1) lgdogf] A276071 4.41633 [x^4*(x^15-x^14-x^13+x^12-3*x^11-11*x^10+x^9+3*x^8+3*x^7-11*x^6+x^5-3*x^4-x^3-x^2-x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A276076 4.89870 [-(2*x+1)*(5*x^6+1)*(25*x^12+1)*(9*x^4+3*x^2+1)/(7*x^24-1) ogf] A276106 14.6739 [-(-8*x^7-7*x^6-1)/(-x^8-x^7-x+1) lgdogf] A276106 26.9682 [-1/(x^2+1)/(x^3-x+1)/(x^3+x^2-1) ogf] A276123 7.78379 [-(4*x^5+10*x^4-13*x^3-16*x^2+x+1)/(x-1)/(x+1)/(x^4-16*x^2+1) ogf] A276129 11.7117 [-(3*x^2+3)/(-x^4-x^3+2*x^2+x-1) lgdogf] A276129 9.83207 [(x+1)^3*(x-1)^3/(x^2+x-1)^3 ogf] A276139 10.7300 [-(2*x^2-18*x-5)/(-20*x^4-22*x^3-7*x^2-x+1) lgdogf] A276139 15.1840 [-(4*x^2+2*x+1)/(5*x^2+3*x-1) ogf] A276139 7.81312 [{-a(n+3)+3*a(n+2)+5*a(n+1),a(0)=1,a(1)=5,a(2)=24} ogf] A276139 8.21173 [-(-8+33*f(x))*(5*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+2*x+1) ogf] A276155 8.87492 [(x^15+x^13+x^3+x+1)/(x^2+1)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A276159 17.9893 [-(-20*x-16)/(-5*x^2+4*x+1) lgdogf] A276159 5.84068 [{(n+3)*a(n+3)+(-8+4*n)*a(n+2)+(-25-5*n)*a(n+1),a(0)=1,a(1)=16,a(2)=106} ogf] A276159 9.99404 [(5*x+1)^2/(x-1)^6 ogf] A276225 15.3044 [(x^2+4*x-3)/(x^3+x^2+2*x-1) ogf] A276225 7.91159 [-(87*f(x)-235)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-x^2-f(x)-4*x+3) ogf] A276225 8.33543 [{a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=2,a(2)=6} ogf] A276225 9.62441 [-(-x^4-8*x^3+7*x^2+4*x+2)/(-x^5-5*x^4-3*x^3-4*x^2+10*x-3) lgdogf] A276226 12.6068 [-(-4*x^3+7*x^2+6*x+4)/(-2*x^4+x^3-x^2+8*x-3) lgdogf] A276226 17.6937 [2*x*(2*x-3)/(x^3+x^2+2*x-1) ogf] A276226 9.08595 [{-a(n+3)+2*a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=6,a(2)=8} ogf] A276226 9.16854 [(25*f(x)+374)*(f(x)*x^3+f(x)*x^2+2*f(x)*x-4*x^2-f(x)+6*x) ogf] A276228 12.8525 [-(2*x^2+2*x+3)/(x^3-2*x^2-x-1) ogf] A276228 6.81741 [(174*f(x)-335)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+2*x^2-f(x)+2*x+3) ogf] A276228 7.00002 [{-a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=3,a(1)=-1,a(2)=-3} ogf] A276228 8.08249 [-(2*x^4+4*x^3+7*x^2-8*x-1)/(2*x^5-2*x^4-3*x^3-10*x^2-5*x-3) lgdogf] A276229 11.1819 [-(-3*x^2+4*x+1)/(-x^3+2*x^2+x+1) lgdogf] A276229 17.4547 [-x^2/(x^3-2*x^2-x-1) ogf] A276229 6.50585 [{a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A276229 8.83509 [f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2-f(x) ogf] A276243 4.43661 [-(28*x^8-113*x^7-47*x^6+424*x^5-150*x^4-33*x^3-23*x^2+9*x+3)/(2*x-1)/(28*x^5+41*x^4-21*x^3-2*x^2-3*x+1) ogf] A276265 12.0588 [-(12*x^2+12*x-8)/(12*x^3-6*x^2-4*x+1) lgdogf] A276265 17.9542 [(2*x+1)/(6*x^2-6*x+1) ogf] A276265 9.50515 [(9*f(x)+7)*(6*f(x)*x^2-6*f(x)*x+f(x)-2*x-1) ogf] A276265 9.85291 [{-a(n+2)+6*a(n+1)-6*a(n),a(0)=1,a(1)=8} ogf] A276275 14.4661 [2*(x^2-x-1)/(x^3+x^2-1) ogf] A276275 8.8663 [(2*f(x)-5)*(f(x)*x^3+f(x)*x^2-2*x^2-f(x)+2*x+2) ogf] A276275 8.86630 [{a(n+3)-a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=0} ogf] A276275 9.81626 [-(-x^4+2*x^3+4*x^2+1)/(-x^5+2*x^3+2*x^2-x-1) lgdogf] A276276 11.2176 [(2*x^2-x-2)/(x^3+x^2-1) ogf] A276276 6.59179 [(150*f(x)-317)*(f(x)*x^3+f(x)*x^2-2*x^2-f(x)+x+2) ogf] A276276 6.87531 [{a(n+3)-a(n+1)-a(n),a(0)=2,a(1)=1,a(2)=0} ogf] A276278 7.97680 [-(x^7+2*x^6-x^5-2*x^4-x^3-x^2-2*x-3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A276283 13.8399 [(x^3+3*x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A276283 5.35513 [{(-3*n-10)*a(n+1)+(3*n+7)*a(n+2)+(-3*n-10)*a(n+3)+(3*n+7)*a(n+4),a(0)=1,a(1)=3,a(2)=7,a(3)=11} ogf] A276283 7.40049 [-(30*f(x)-493)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-3*x^2+f(x)-x-1) ogf] A276283 9.86731 [-(-x^5-7*x^4-2*x^3-6*x^2-5*x-3)/(-x^6-2*x^5+x^4-2*x^3+3*x^2+1) lgdogf] A276284 9.61634 [-(f(x)*x-f(x)+1)^3 ogf] A276285 10.8434 [-(13*x^2-13*x+26)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A276285 99.9999 Evaluated at exp(-Pi) Pi^(13/4)/GAMMA(3/4)^13 A276286 11.2506 [-(14*x^2-14*x+28)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A276286 99.9999 Evaluated at exp(-Pi) Pi^(7/2)/GAMMA(3/4)^14 A276287 10.9643 [-(15*x^2-15*x+30)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A276287 99.9999 Evaluated at exp(-Pi) Pi^(15/4)/GAMMA(3/4)^15 A276288 15.0882 [-x*(3*x^2-x-1)/(3*x^4-7*x^2+1) ogf] A276288 7.93431 [-(-18*x^5+9*x^4+12*x^3-7*x^2-8*x-1)/(-9*x^6+3*x^5+24*x^4-7*x^3-10*x^2+x+1) lgdogf] A276288 8.76552 [{-a(n+4)+7*a(n+2)-3*a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=4} ogf] A276288 9.11267 [-(f(x)+1)*(3*f(x)*x^4-7*f(x)*x^2+3*x^3-x^2+f(x)-x) ogf] A276289 14.2688 [-(x+1)*x/(2*x-1)^3 ogf] A276289 17.2415 [-(4*x+7)/(2*x^2+x-1) lgdogf] A276289 7.19644 [-(324*f(x)-95)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+x^2-f(x)+x) ogf] A276289 7.38921 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=7} ogf] A276293 4.71695 [{a(n+4)-4*a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=4,a(2)=11,a(3)=31} ogf] A276293 5.31152 [-(f(x)+2)*(2*f(x)*x^3-4*f(x)*x^2+x^3+4*f(x)*x-x^2-f(x)+1) ogf] A276293 9.72417 [-(x^3-x^2+1)/(2*x^3-4*x^2+4*x-1) ogf] A276294 5.51765 [(2*x^6-11*x^5+3*x^4-7*x^3+11*x^2-2)/(x-1)/(6*x^4-x^3+3*x^2-5*x+1) ogf] A276300 4.63407 [{a(n+4)-4*a(n+3)-a(n+2)+4*a(n+1),a(0)=5,a(1)=11,a(2)=45,a(3)=173} ogf] A276300 5.04187 [(-1309+6618*f(x))*(4*f(x)*x^3-f(x)*x^2-2*x^3-4*f(x)*x+4*x^2+f(x)+9*x-5) ogf] A276300 9.13381 [(2*x^3-4*x^2-9*x+5)/(x-1)/(4*x-1)/(x+1) ogf] A276301 4.50521 [(30*x^7+39*x^6-149*x^5-35*x^4+49*x^3+75*x^2+25*x-14)/(x-1)/(15*x^5-7*x^4-13*x^3-13*x^2-3*x+1) ogf] A276308 6.49062 [-(4*x^8+10*x^7+22*x^6-25*x^5-31*x^4-34*x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6-34*x^3+1) ogf] A276310 11.8403 [-1+f(x)-2*f(x)^2*x-2*f(x)^3*x^2 ogf] A276310 21.8305 [-2*x^3-2*x^2+x revogf] A276310 3.73570 [{(27*n^2+108*n+105)*a(n+1)+(26*n^2+143*n+195)*a(n+2)+(-3*n^2-21*n-36)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A276314 12.4968 [-1+f(x)-f(x)^2*x-3*f(x)^3*x^2 ogf] A276314 23.0409 [-3*x^3-x^2+x revogf] A276314 3.90110 [{(-243*n^2-972*n-945)*a(n+1)+(-58*n^2-319*n-435)*a(n+2)+(13*n^2+91*n+156)*a(n+3),a(0)=1,a(1)=1,a(2)=5} ogf] A276315 12.2297 [1-f(x)+3*f(x)^2*x+2*f(x)^3*x^2 ogf] A276315 22.5485 [-2*x^3-3*x^2+x revogf] A276315 3.71934 [{(108*n^2+432*n+420)*a(n+1)+(216*n^2+1188*n+1620)*a(n+2)+(-17*n^2-119*n-204)*a(n+3),a(0)=1,a(1)=3,a(2)=20} ogf] A276316 11.526 [-1+f(x)-4*f(x)^2*x+f(x)^3*x^2 ogf] A276316 18.8898 [x*(x^2-4*x+1) revogf] A276316 3.54183 [{(-27*n^2-108*n-105)*a(n+1)+(-184*n^2-1012*n-1380)*a(n+2)+(12*n^2+84*n+144)*a(n+3),a(0)=1,a(1)=4,a(2)=31} ogf] A276351 6.46693 [-2*(4*x^6+39*x^5+287*x^4+254*x^3+138*x^2-5*x+3)/(x-1)^7 ogf] A276352 11.0477 [-1000*f(x)*x^2+110*f(x)*x-f(x)+90*x ogf] A276352 12.3811 [-(2000*x-110)/(1000*x^2-110*x+1) lgdogf] A276352 16.7000 [90*x/(100*x-1)/(10*x-1) ogf] A276352 8.25403 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=0,a(1)=90} ogf] A276368 22.2437 [9*f(x)^3*x-2*f(x)^3+3*f(x)-1 ogf] A276368 6.99091 [{(81*n^2+243*n+180)*a(n+1)+(18*n+36)*a(n+2)+(-4*n^2-20*n-24)*a(n+3),a(0)=1,a(1)=3,a(2)=9} ogf] A276382 13.6003 [(x^3-3*x-1)/(x+1)/(x-1)^3 ogf] A276382 7.03064 [-(20*f(x)-163)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x-f(x)+3*x+1) ogf] A276382 9.32153 [-(-x^4-2*x^3+6*x^2+10*x+5)/(-x^5+4*x^3+x^2-3*x-1) lgdogf] A276394 8.63520 [-x*(x^20+x^19+x^18+x^14+x^13+x^9+x^8+x^7+x^2+x+1)*(x^2-x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1) ogf] A276396 10.0989 [-(x-3)*(10*x^2+3*x+10)/(11*x^4-30*x^3+2*x^2-33*x+1) ogf] A276396 5.70209 [(368*f(x)+167)*(11*f(x)*x^4-30*f(x)*x^3+2*f(x)*x^2+10*x^3-33*f(x)*x-27*x^2+f(x)+x-30) ogf] A276401 6.11360 [(30*x^6-223*x^5+190*x^4+105*x^3+73*x^2-64*x-39)/(3*x^3-1)/(x^2+x+1)/(x-1)^2 ogf] A276403 12.1033 [-(48*x^5+36*x^4+27*x^3+18*x^2+12*x+8)/(3*x^3-1)/(3*x^3+1) ogf] A276425 10.5997 [-(x^6-x^5-2*x^4+2*x^3-x^2+x+1)/(x-1) ogf_with_Euler_transform] A276477 14.7377 [(x^2-2*x-2)/(x^3+x^2-1) ogf] A276477 8.31733 [-(129*f(x)-265)*(f(x)*x^3+f(x)*x^2-x^2-f(x)+2*x+2) ogf] A276477 8.75052 [-(-x^4+4*x^3+8*x^2+2*x+2)/(-x^5+x^4+4*x^3+3*x^2-2*x-2) lgdogf] A276477 8.93670 [{a(n+3)-a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=1} ogf] A276482 6.98806 [{(5*n^2+16*n+12)*a(n+1)-a(n+2),a(0)=1,a(1)=1} ogf] A276489 23.5600 [40/(-25*x+1) lgdegf] A276489 7.60001 [{(-25*n-65)*a(n+1)+a(n+2),a(0)=15,a(1)=600} ogf] A276491 14.8334 [-(4*x^9+2*x^7+2*x^5+2*x^3+2*x)/(-x^10+1) ogf_with_Euler_transform] A276491 99.9999 Evaluated at exp(-Pi) 1/200*exp(Pi)*Pi/GAMMA(3/4)^4*(5-5^(1/2))*5^(1/2) A276502 31.4687 [-x^17+x^8+1 ogf_with_Euler_transform] A276502 5.87640 [-(x^89+x^88+x^87+x^86+x^85+x^84+x^83+x^82+x^81-4*x^10+2*x^9-4*x+2)/(2*x^90-x^81-4*x^2+6*x-2) ogf] A276506 30.7062 [9*exp(x) lgdegf] A276507 27.2066 [10*exp(x) lgdegf] A276508 14.6900 [x*(3*x-2)/(5*x-1)/(x^2-x+1) ogf] A276508 7.54352 [-(9*f(x)+4)*(5*f(x)*x^3-6*f(x)*x^2+6*f(x)*x-3*x^2-f(x)+2*x) ogf] A276508 7.54353 [{a(n+3)-6*a(n+2)+6*a(n+1)-5*a(n),a(0)=0,a(1)=2,a(2)=9} ogf] A276508 9.62451 [-(30*x^3-48*x^2+24*x-9)/(15*x^4-28*x^3+30*x^2-15*x+2) lgdogf] A276509 10.7827 [-(250*x^2+40*x-47)/(250*x^3-255*x^2+3*x+2) lgdogf] A276509 16.1740 [(25*x+2)/(10*x-1)/(x-1) ogf] A276509 8.34788 [(477*f(x)+1255)*(10*f(x)*x^2-11*f(x)*x+f(x)-25*x-2) ogf] A276509 9.13356 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=2,a(1)=47} ogf] A276529 7.49766 [-(2*x^9+3*x^8+4*x^7+5*x^6+6*x^5-x^4-x^3-x^2-x-1)/(x^10-7*x^5+1) ogf] A276532 14.6013 [-(f(x)*x-f(x)+1)^3 ogf] A276534 12.6007 [-(f(x)*x-f(x)+1)^3 ogf] A276535 7.38319 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 ogf] A276551 22.4532 [2/(-x^2+2*x-1) ogf_with_Euler_transform] A276552 22.8040 [3/(-x^2+2*x-1) ogf_with_Euler_transform] A276598 12.2231 [-f(x)*x^2+6*f(x)*x-f(x)+5*x ogf] A276598 15.0242 [-(2*x-6)/(x^2-6*x+1) lgdogf] A276598 19.4909 [5*x/(x^2-6*x+1) ogf] A276598 8.90325 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=5} ogf] A276599 11.6164 [(x+1)*(x^2+3*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A276599 7.12326 [(1640*f(x)+201)*(f(x)*x^4-6*f(x)*x^2-x^3-4*x^2+f(x)-4*x-1) ogf] A276600 10.2386 [x*(2*x^4+3*x^3+7*x^2+3*x+2)/(x^6-6*x^3+1) ogf] A276601 11.7734 [(x+1)*(x^2+5*x+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A276601 7.08583 [(20440*f(x)+6421)*(f(x)*x^4-6*f(x)*x^2-x^3-6*x^2+f(x)-6*x-1) ogf] A276602 12.4888 [-f(x)*x^2+6*f(x)*x-f(x)+9*x ogf] A276602 15.3508 [-(2*x-6)/(x^2-6*x+1) lgdogf] A276602 19.9146 [9*x/(x^2-6*x+1) ogf] A276602 9.09679 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=9} ogf] A276643 22.6956 [-4*x^9+4 ogf_with_Euler_transform] A276644 5.18724 [(14851*f(x)+1001)*(100*f(x)*x^4-330*f(x)*x^3+272*f(x)*x^2-10*x^3-33*f(x)*x+11*x^2+f(x)-x) ogf] A276644 9.42559 [x*(10*x-1)*(x-1)/(10*x^2-21*x+1)/(10*x^2-12*x+1) ogf] A276647 8.86918 [(2*x^2-2*x+1)*(x+1)^2/(2*x^2-1)/(x-1)^3 ogf] A276658 10.9837 [(3*x^2-x-1)/(x^3+x^2+x-1) ogf] A276658 5.72657 [-(f(x)+170)*(f(x)*x^3+f(x)*x^2+f(x)*x-3*x^2-f(x)+x+1) ogf] A276658 6.03611 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=0} ogf] A276658 7.28270 [-(-3*x^4+2*x^3+7*x^2-4*x+2)/(-3*x^5-2*x^4-x^3+5*x^2-1) lgdogf] A276659 10.3020 [x*(3*x-2)/(2*x-1)^2/(x-1)^3 ogf] A276659 11.5140 [-(-24*x^2+32*x-11)/(-6*x^3+13*x^2-9*x+2) lgdogf] A276659 3.89527 [{(6+2*n)*a(n+4)+(-29-9*n)*a(n+3)+(45+13*n)*a(n+2)+(-24-6*n)*a(n+1),a(0)=0,a(1)=2,a(2)=11,a(3)=39} ogf] A276666 4.26628 [{(24*n^2+84*n+72)*a(n+1)+(-10*n^2-50*n-60)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=-1,a(1)=0,a(2)=2} ogf] A276666 8.43880 [-2/9*x^2-4/9*x+1/9-1/9*(4*x^4+16*x^3+21*x^2+10*x+1)^(1/2) revogf] A276666 9.48062 [4*f(x)^2*x^2-f(x)^2*x+8*f(x)*x-2*f(x)+9*x-2 ogf] A276670 4.55939 [3*x^2*(x^12+2*x^11+5*x^10+10*x^9+31*x^8+20*x^7+22*x^6+20*x^5+31*x^4+10*x^3+5*x^2+2*x+1)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A276677 5.65105 [(f(x)-1)*(2*f(x)*x^4-4*f(x)*x^3+2*x^4+f(x)*x^2+2*x^3+2*f(x)*x-x^2-f(x)+1) ogf] A276677 7.88909 [-(-12*x^4+8*x^3-2*x^2+2)/(-4*x^6+4*x^5+4*x^4-6*x^3+x^2+2*x-1) lgdogf] A276677 9.83701 [-(2*x^2-2*x+1)*(x+1)^2/(2*x^2-1)/(x-1)^2 ogf] A276704 10.4645 [(x^5+5*x^4-15*x^3+4*x-3)/(x-1)^3 ogf] A276705 5.57367 [(13*x^10+x^9-27*x^8-15*x^7-35*x^6-10*x^5-x^4+x^3+6*x^2-x-4)/(x+1)^2/(x-1)^3 ogf] A276706 9.58558 [(3*x^8+x^7-x^4+x^2+x+1)/(x+1)/(x-1)^2 ogf] A276720 9.03429 [-(x-1)*(x+1)/(x^8+3*x^7-5*x^5-5*x^4-x^3-2*x^2-x+1) ogf] A276764 8.59326 [-2*(2*x^4+3*x^3+17*x^2+5*x+5)/(x+1)^2/(x-1)^3 ogf] A276785 13.1270 [x^5/(2*x-1)/(x^5+x^4-x^3+2*x-1) ogf] A276785 7.94526 [-(12*x^5+5*x^4-12*x^3+3*x^2+8*x-4)/(2*x^6+x^5-3*x^4+x^3+4*x^2-4*x+1) lgdogf] A276819 15.7718 [-(-6*x^2-16*x-5)/(-6*x^3+4*x^2+x+1) lgdogf] A276819 16.8061 [-(6*x^2+2*x+1)/(x-1)^3 ogf] A276819 8.61486 [(33777*f(x)-88585)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+2*x+1) ogf] A276819 9.07230 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=18} ogf] A276838 7.84358 [-(x-1)*(x+1)/(x^8+5*x^7+2*x^6-8*x^5-12*x^4-2*x^3-2*x^2-x+1) ogf] A276847 6.73073 [-(-4*x^11-x^9-2*x^7-2*x^5-2*x^3-x)/(x^12-1) ogf_with_Euler_transform] A276849 11.8908 [-(8*x^2-10*x-2)/(8*x^3+11*x^2-18*x+5) lgdogf] A276849 17.7041 [(8*x-5)/(x^2+2*x-1) ogf] A276849 8.85206 [(425*f(x)-2109)*(f(x)*x^2+2*f(x)*x-f(x)-8*x+5) ogf] A276849 9.71568 [{-a(n+2)+2*a(n+1)+a(n),a(0)=5,a(1)=2} ogf] A276877 7.58768 [(2*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+x+1)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A276914 8.32849 [-(-6*x^4-12*x^3-48*x^2-20*x-10)/(-3*x^5-3*x^4-6*x^3+2*x^2+9*x+1) lgdogf] A276914 9.35785 [-x*(3*x^3+3*x^2+9*x+1)/(x+1)^2/(x-1)^3 ogf] A276915 11.5767 [-x*(3*x-1)/(x+1)/(x^2-14*x+1) ogf] A276915 5.88816 [(24896*f(x)-5461)*(f(x)*x^3-13*f(x)*x^2-13*f(x)*x+3*x^2+f(x)-x) ogf] A276915 5.99146 [{a(n+3)-13*a(n+2)-13*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=10} ogf] A276915 7.94216 [-(-6*x^3+42*x^2-26*x-10)/(-3*x^4+40*x^3+26*x^2-16*x+1) lgdogf] A276916 8.68395 [-(13*x^4+12*x^3+34*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A276917 7.72605 [-(6*x^5-6*x^4+15*x^3-4*x-1)/(3*x^2-1)/(2*x^2-1)/(x-1)^2 ogf] A276918 11.6550 [-(4*x^3-6*x^2+2*x+1)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A276918 6.53818 [(445*f(x)+262)*(4*f(x)*x^4-6*f(x)*x^3+4*x^3+3*f(x)*x-6*x^2-f(x)+2*x+1) ogf] A276924 12.7525 [-24/(x^4+4*x^3+12*x^2+24*x-24) egf] A276924 5.58582 [(5*f(x)-2)*(f(x)*x^4+4*f(x)*x^3+12*f(x)*x^2+24*f(x)*x-24*f(x)+24) egf] A276924 7.85910 [-(-4*x^3-12*x^2-24*x-24)/(-x^4-4*x^3-12*x^2-24*x+24) lgdegf] A276925 10.3982 [-120/(x^5+5*x^4+20*x^3+60*x^2+120*x-120) egf] A276925 6.25818 [-(5*x^4+20*x^3+60*x^2+120*x+120)/(x^5+5*x^4+20*x^3+60*x^2+120*x-120) lgdegf] A276926 8.89320 [-720/(x^6+6*x^5+30*x^4+120*x^3+360*x^2+720*x-720) egf] A276927 7.50981 [-5040/(x^7+7*x^6+42*x^5+210*x^4+840*x^3+2520*x^2+5040*x-5040) egf] A276928 6.37625 [-40320/(x^8+8*x^7+56*x^6+336*x^5+1680*x^4+6720*x^3+20160*x^2+40320*x-40320) egf] A276929 5.49498 [-362880/(x^9+9*x^8+72*x^7+504*x^6+3024*x^5+15120*x^4+60480*x^3+181440*x^2+362880*x-362880) egf] A276930 4.72645 [-3628800/(x^10+10*x^9+90*x^8+720*x^7+5040*x^6+30240*x^5+151200*x^4+604800*x^3+1814400*x^2+3628800*x-3628800) egf] A277044 6.82531 [-8*x^3*(3*x^4+8*x^3+7*x^2+10*x+2)/(x+1)^4/(x-1)^5 ogf] A277044 7.84911 [-(-15*x^5-51*x^4-69*x^3-111*x^2-42*x-12)/(-3*x^6-8*x^5-4*x^4-2*x^3+5*x^2+10*x+2) lgdogf] A277054 8.24695 [3*(339558*x^4+2703776*x^3+27967654*x^2+310110570*x-341152263)/(x-1) ogf] A277057 8.43450 [3*(66558*x^4+300803*x^3+3370627*x^2+37410570*x-41152263)/(x-1) ogf] A277082 12.1742 [-x*(x^2+11*x+1)/(x+1)^2/(x-1)^3 ogf] A277082 12.9648 [-(-3*x^3-45*x^2-18*x-12)/(-x^4-11*x^3+11*x+1) lgdogf] A277088 5.69656 [-(2*x^8+x^7+3*x^6-x^5+2*x^3-3*x^2+3*x-5)/(x-1)/(x^8+x^7+2*x^6+x^5+x^4+2*x^3+2*x-1) ogf] A277089 7.22888 [-(5*x^6-3*x^5-x^4+2*x^3+x^2+3*x-6)/(x-1)/(2*x^6+x^3+x^2+2*x-1) ogf] A277090 45.1780 [1/(-x^8+1) ogf_with_Euler_transform] A277091 13.5754 [-14*f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A277091 16.2905 [-(-28*x-2)/(-14*x^2-2*x+1) lgdogf] A277091 21.4349 [-2*x/(14*x^2+2*x-1) ogf] A277091 9.93323 [{-a(n+2)+2*a(n+1)+14*a(n),a(0)=0,a(1)=2} ogf] A277093 8.24997 [(6*x^7+6*x^6+6*x^5+7*x^4+6*x^3+6*x^2+6*x+1)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A277096 7.49995 [(3*x^8+6*x^7+6*x^6+6*x^5+x^4+6*x^3+6*x^2+6*x+4)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A277104 11.5514 [-(-9*x^2-12*x+11)/(-9*x^3+6*x^2+5*x-2) lgdogf] A277104 16.2212 [6*(3*x+2)/(3*x-1)/(x-1) ogf] A277104 8.47105 [(16*f(x)+171)*(3*f(x)*x^2-4*f(x)*x+f(x)-18*x-12) ogf] A277104 9.07613 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=12,a(1)=66} ogf] A277105 10.7829 [(17*f(x)+297)*(3*f(x)*x^2-4*f(x)*x+f(x)-54*x-9) ogf] A277105 11.5624 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=9,a(1)=90} ogf] A277105 14.1129 [-(18*x^2+6*x-10)/(18*x^3-21*x^2+2*x+1) lgdogf] A277105 20.8626 [9*(6*x+1)/(3*x-1)/(x-1) ogf] A277106 10.9643 [-(3*x^2+6*x-5)/(3*x^3-x^2-3*x+1) lgdogf] A277106 14.9301 [12*(x+1)/(3*x-1)/(x-1) ogf] A277106 7.62734 [(107*f(x)+2466)*(3*f(x)*x^2-4*f(x)*x+f(x)-12*x-12) ogf] A277106 8.35376 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=12,a(1)=60} ogf] A277107 11.9635 [-3*f(x)*x^2+4*f(x)*x-f(x)+96*x ogf] A277107 14.9544 [-(6*x-4)/(3*x^2-4*x+1) lgdogf] A277107 18.8897 [96*x/(3*x-1)/(x-1) ogf] A277107 8.75378 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=96} ogf] A277108 12.5422 [8*(2*x-3)/(x-1)^3 ogf] A277108 14.3713 [-(-4*x+7)/(-2*x^2+5*x-3) lgdogf] A277108 5.99844 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=56,a(2)=96} ogf] A277108 6.32863 [(61*f(x)-4344)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-16*x+24) ogf] A277113 11.5688 [(35*x^3+34*x^2+34*x+34)/(x+1)/(x^2+1)/(x-1)^2 ogf] A277131 5.34797 [(27520*f(x)+1613883)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+13*x^3-4*f(x)*x-41*x^2+f(x)+53*x-45) ogf] A277131 8.97272 [-(-13*x^3+43*x^2-77*x+127)/(-13*x^4+54*x^3-94*x^2+98*x-45) lgdogf] A277131 9.96969 [-(13*x^3-41*x^2+53*x-45)/(x-1)^4 ogf] A277136 7.49995 [(x^8+6*x^7+7*x^6+6*x^5+6*x^4+6*x^3+x^2+6*x+5)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A277139 7.64447 [(4*x^8+6*x^7+x^6+6*x^5+6*x^4+6*x^3+7*x^2+6*x+2)/(x^4+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A277155 9.57499 [-x^10*(x^8-x^4+1)*(x^4+1)^2/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1) ogf] A277156 12.6132 [-x^11*(x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A277157 12.4291 [-x^12*(x^2+1)*(x^4-x^2+1)/(x-1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A277176 4.14563 [{(4*n^2+18*n+20)*a(n+1)+(-n^2-11*n-22)*a(n+2)+(n+4)*a(n+3),a(0)=1,a(1)=2,a(2)=6} ogf] A277178 17.2191 [-(10*x-7)/(4*x^2-5*x+1) lgdogf] A277178 5.58765 [{(n+2)*a(n+3)+(-12-5*n)*a(n+2)+(10+4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=7} ogf] A277209 7.40110 [-x*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(10*x^9-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A277210 33.6564 [-x^3/(x^3-1) ogf_with_Euler_transform] A277221 3.41728 [{(4*n^2+18*n+20)*a(n+1)+(-13*n^2-59*n-64)*a(n+2)+(7*n^2+33*n+32)*a(n+3)+(-n^2-5*n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=6} ogf] A277226 4.26525 [-(x^8+28*x^7+272*x^6+804*x^5+1150*x^4+804*x^3+272*x^2+28*x+1)/(x+1)^3/(x-1)^9 ogf] A277228 11.8908 [-(4*x^2+22*x+22)/(x^3+3*x^2-x-3) lgdogf] A277228 3.94367 [{(-349*n^2-2821*n-5322)*a(n+1)+(-846*n^2-10480*n-32164)*a(n+2)+(1195*n^2+5581*n+4386)*a(n+3),a(0)=0,a(1)=0,a(2)=3} ogf] A277228 8.17491 [x^2*(x+3)*(x+1)/(x-1)^6 ogf] A277229 11.8737 [-(12*x^2+26*x+10)/(3*x^3+x^2-3*x-1) lgdogf] A277229 3.99769 [{(n+3)*a(n+4)+(-4+3*n)*a(n+3)+(-27-n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=48} ogf] A277229 8.64718 [x*(x+1)*(3*x+1)/(x-1)^6 ogf] A277236 11.2635 [-(10*x^2+12*x+4)/(8*x^4+14*x^3+5*x^2-2*x-1) lgdogf] A277236 15.9389 [-(x+1)*(2*x+1)/(4*x^2+x-1) ogf] A277236 8.20157 [{a(n+3)-a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=10} ogf] A277236 8.53294 [-(5+123*f(x))*(4*f(x)*x^2+f(x)*x+2*x^2-f(x)+3*x+1) ogf] A277237 10.5616 [-(-15*x^2-18*x-6)/(-20*x^4-25*x^3-4*x^2+4*x+1) lgdogf] A277237 15.1450 [-(5*x^2+5*x+1)/(4*x^2+x-1) ogf] A277237 7.79304 [{a(n+3)-a(n+2)-4*a(n+1),a(0)=1,a(1)=6,a(2)=15} ogf] A277237 8.19064 [-(3*f(x)-11)*(4*f(x)*x^2+f(x)*x+5*x^2-f(x)+5*x+1) ogf] A277252 13.8752 [x*(x^2-x-1)/(x+1)/(x^3+x-1) ogf] A277252 8.04528 [-(4*f(x)-7)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+x^2-f(x)+x) ogf] A277252 9.57388 [-(2*x^5-2*x^4-6*x^3-4*x^2-1)/(x^6-x^4-2*x^3-2*x^2+x+1) lgdogf] A277253 11.9224 [-(-x^6+2*x^5+2*x^4-4*x^3-6*x^2)/(-x^7-2*x^2+1) lgdogf] A277253 14.5142 [-(x^3-x^2+1)/(x+1)/(x^3+x-1) ogf] A277253 8.27668 [-(9*f(x)+247)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3-x^2-f(x)+1) ogf] A277264 32.5152 [-x^5/(x^5-1) ogf_with_Euler_transform] A277277 8.59435 [-(2*x^9+6*x^8+8*x^7+6*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^4+x^2-1) ogf] A277283 99.9999 Evaluated at exp(-Pi) 4/3/Pi^(13/12)*2^(1/4)*3^(5/6)/GAMMA(2/3)^(1/3)*GAMMA(3/4)^(8/3)*GAMMA(11/12)^(4/3)*GAMMA(7/12)/(2^(1/2)*(1+3^(1/2)))^(4/3)*(1+3^(1/2)) A277287 5.01766 [-4*f(x)^2*x^3-15*f(x)^2*x^2+8*f(x)^2*x-4*f(x)*x^2-f(x)^2-3*f(x)*x-x^2+f(x)-2*x ogf] A277345 3.89369 [{(n+2)*a(n+1)+(n+2)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=2,a(1)=3,a(2)=9,a(3)=31} ogf] A277347 7.71905 [{(2*n^2+10*n+13)*a(n+1)-a(n+2),a(0)=1,a(1)=5} ogf] A277349 29.5847 [-x^6/(x^6-1) ogf_with_Euler_transform] A277352 6.38273 [{(2*n^2+8*n+9)*a(n+1)-a(n+2),a(0)=1,a(1)=3} ogf] A277353 6.79002 [{(3*n^2+12*n+13)*a(n+1)-a(n+2),a(0)=1,a(1)=4} ogf] A277354 6.07930 [{(4*n^2+16*n+17)*a(n+1)-a(n+2),a(0)=1,a(1)=5} ogf] A277358 17.2254 [-(-2-x)/(-2*x+1) lgdegf] A277358 5.14193 [{(-n-2)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=9} ogf] A277360 3.92518 [{(-4*n^2-18*n-18)*a(n+1)+(16*n^2+92*n+131)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=491} ogf] A277361 6.37566 [x^2*(x^4-4*x^3+5*x^2-2*x+1)/(x^2+x-1)^4 ogf] A277361 7.37923 [-(-4*x^5+20*x^4-30*x^3+16*x^2-12*x-2)/(-x^6+3*x^5-7*x^3+6*x^2-3*x+1) lgdogf] A277369 10.2182 [{-a(n+2)+2*a(n+1)+a(n),a(0)=5,a(1)=8} ogf] A277369 12.6954 [-(2*x^2-10*x-8)/(2*x^3-x^2-12*x+5) lgdogf] A277369 18.6199 [(2*x-5)/(x^2+2*x-1) ogf] A277369 9.20761 [-(13*f(x)-33)*(f(x)*x^2+2*f(x)*x-f(x)-2*x+5) ogf] A277378 11.2267 [-(x^2-3*x-2)/(x^3-x^2-x+1) lgdegf] A277378 3.45436 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^2-8*n-15)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=9,a(3)=50} ogf] A277379 10.5004 [-(-x^3+x^2+x+1)/(-x^4+2*x^2-1) lgdegf] A277379 3.27537 [{(n+5)*a(n+5)-a(n+4)+(-7-2*n)*a(n+3)-a(n+2)+(n+2)*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=5/3,a(4)=5/3} egf] A277381 22.2168 [-2*x+2*exp(2*x) lgdegf] A277382 14.5418 [-(-x+4)/(-x^2+2*x-1) lgdegf] A277382 4.88115 [{(-n^2-4*n-4)*a(n+1)+(2*n+8)*a(n+2)-a(n+3),a(0)=1,a(1)=4,a(2)=23} ogf] A277385 10.7401 [-(-7*x^2-2*x+33)/(-6*x^4+17*x^3-23*x^2+27*x-15) lgdogf] A277385 11.4859 [(6*x^3-11*x^2+12*x-15)/(x-1)^3 ogf] A277385 6.03639 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=15,a(1)=33,a(2)=65,a(3)=105} ogf] A277385 6.51171 [(159*f(x)-7895)*(f(x)*x^3-3*f(x)*x^2-6*x^3+3*f(x)*x+11*x^2-f(x)-12*x+15) ogf] A277387 8.18343 [-(3*x^4+26*x^3+40*x^2+10*x+1)/(x-1)^7 ogf] A277387 8.95545 [-(9*x^4+116*x^3+278*x^2+140*x+17)/(3*x^5+23*x^4+14*x^3-30*x^2-9*x-1) lgdogf] A277388 7.90391 [-(x^4+10*x^3+40*x^2+26*x+3)/(x-1)^7 ogf] A277388 8.73194 [-(3*x^4+44*x^3+230*x^2+236*x+47)/(x^5+9*x^4+30*x^3-14*x^2-23*x-3) lgdogf] A277393 14.1673 [-(4*x^2-2*x+2)/(2*x-1) lgdegf] A277393 3.56037 [{(-4*n^2-20*n-24)*a(n+1)+(2*n+6)*a(n+2)+(-2*n-8)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=36} ogf] A277393 3.84198 [1/5*(x^10-25*x^8+300*x^6-2100*x^4+8400*x^2-15120)/(2*x-1)/(x^8+24*x^6+252*x^4+1344*x^2+3024) egf] A277395 5.88252 [2*f(x)^2*x^4-6*f(x)^2*x^3+6*f(x)^2*x^2-2*f(x)^2*x-f(x)*x+f(x)-1 ogf] A277402 4.77435 [(6*x^12-13*x^11-29*x^10+6*x^9-18*x^8-6*x^7-18*x^6-6*x^5-18*x^4-6*x^3-12*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A277411 17.6959 [-(-12*x^2+28*x-13)/(-4*x^3+12*x^2-11*x+3) lgdogf] A277411 18.7849 [-x*(2*x-3)/(2*x-1)/(x-1)^3 ogf] A277411 6.04465 [{(9+3*n)*a(n+4)+(-35-11*n)*a(n+3)+(40+12*n)*a(n+2)+(-12-4*n)*a(n+1),a(0)=0,a(1)=3,a(2)=13,a(3)=38} ogf] A277411 9.18059 [(13311*f(x)+78460)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x+2*x^2+f(x)-3*x) ogf] A277426 13.7089 [{a(n+1)-64*a(n),a(0)=32} ogf] A277426 17.2158 [-64*f(x)*x+f(x)-32 ogf] A277426 24.6761 [64/(-64*x+1) lgdogf] A277426 27.4179 [-32/(64*x-1) ogf] A277431 4.61772 [{(2*n+4)*a(n+1)-2*a(n+2)+(-4-n)*a(n+3)+a(n+4),a(0)=1,a(1)=1,a(2)=4,a(3)=12} ogf] A277432 4.52049 [{(2*n+4)*a(n+1)-2*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=8} ogf] A277450 4.73453 [-(x^18-x^17+x^16+x^15+x^13+x^11+x^10+x^8+x^6+x^5+x^3+1)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A277451 15.6139 [-4*f(x)*x+f(x)-26*x-1 ogf] A277451 17.9560 [30/(-104*x^2+22*x+1) lgdogf] A277451 18.9010 [-(1+26*x)/(4*x-1) ogf] A277451 9.83889 [{a(n+2)-4*a(n+1),a(0)=1,a(1)=30} ogf] A277472 14.3545 [-(-4*x^2+2*x+2)/(2*x-1) lgdegf] A277472 3.58864 [{(-4*n^2-20*n-24)*a(n+1)+(2*n+6)*a(n+2)+(2*n+8)*a(n+3)-a(n+4),a(0)=1,a(1)=2,a(2)=10,a(3)=60} ogf] A277472 3.89276 [-1/5*(x^10+25*x^8+300*x^6+2100*x^4+8400*x^2+15120)/(2*x-1)/(x^8-24*x^6+252*x^4-1344*x^2+3024) egf] A277491 10.3949 [-(-36*x^2+72*x-12)/(-36*x^3+49*x^2-14*x+1) lgdogf] A277491 15.4817 [-(x-1)/(9*x-1)/(4*x-1) ogf] A277491 8.36369 [(4*f(x)+5)*(36*f(x)*x^2-13*f(x)*x+f(x)+x-1) ogf] A277491 8.56047 [{-a(n+2)+13*a(n+1)-36*a(n),a(0)=1,a(1)=12} ogf] A277492 11.2997 [(7*x-1)*(5*x-3)/(9*x-1)/(4*x-1) ogf] A277492 6.07625 [{a(n+3)-13*a(n+2)+36*a(n+1),a(0)=3,a(1)=13,a(2)=96} ogf] A277492 6.1931 [-(23*f(x)+100)*(36*f(x)*x^2-13*f(x)*x-35*x^2+f(x)+26*x-3) ogf] A277492 7.48933 [-(-481*x^2+146*x-13)/(1260*x^4-1391*x^3+481*x^2-65*x+3) lgdogf] A277560 5.31829 [{-a(n+5)+101*a(n+3)-100*a(n+1),a(0)=1,a(1)=11,a(2)=0,a(3)=1111,a(4)=0} ogf] A277560 7.97742 [100*f(x)*x^4-100*x^4-101*f(x)*x^2+101*x^2+f(x)-11*x-1 ogf] A277560 9.48668 [(100*x^4-101*x^2+11*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277563 5.42178 [{(n-1)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=24} ogf] A277568 5.00714 [2*(x+1)*(2*x+1)*(x^5+x^3+1)*(x^15-x^14+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277588 4.34589 [(9*x+1)*(x^2+1)*(x^8+x^7+x^4+x^3+1)*(x^12-x^11+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277592 16.1147 [-x^11+x^10+x^5-x^4-x+3 ogf_with_Euler_transform] A277592 5.69461 [5*(x+1)*(x^4+x^3+x^2+x+1)*(x^2+1)*(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277593 5.69461 [2*(2*x+3)*(x+1)*(x^9+x^7+x^4+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277594 5.69461 [(3*x+7)*(x^10+x^9+x^8+x^6+x^5+x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277595 5.69461 [2*(x+4)*(x+1)*(x^2-x+1)*(x^7+x^6+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277596 5.69461 [(x+9)*(x^2+1)*(x^8+x^5+x^4+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277600 5.96457 [(2*x+3)*(x+1)*(x^9+x^7+x^4+x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277601 5.96457 [(x+4)*(x+1)*(x^2-x+1)*(x^7+x^6+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277609 6.32155 [{(-n+1)*a(n)+(-n-2)*a(n+1)+a(n+2),a(0)=0,a(1)=0,a(2)=6} ogf] A277618 14.7578 [x*(2*x^4+2*x^3-3*x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277619 5.77226 [(x^9-3*x^7+5*x^5+3*x^4-2*x^3-3*x^2+x+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A277629 4.50722 [(x^14-4*x^12-2*x^11+3*x^10-4*x^8-2*x^7-4*x^5-3*x^4+2*x^3+3*x^2-x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A277636 5.36898 [-(x^6+336*x^5+4479*x^4+9808*x^3+4479*x^2+336*x+1)/(x-1)^7 ogf] A277637 4.69773 [{(27*n^2+135*n+168)*a(n+1)+(-28*n^2-142*n-180)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=4,a(2)=34} ogf] A277643 16.8225 [-(-x^2+x+3)/(x^2-1) ogf_with_Euler_transform] A277650 8.33246 [[2] ogf_with_Euler_transform] A277652 4.20267 [{(-n^3-5*n^2-6*n)*a(n)+(6*n^3+27*n^2+35*n+12)*a(n+1)+(-n^3-4*n^2-3*n)*a(n+2),a(0)=0,a(1)=0,a(2)=4} ogf] A277653 10.9141 [-x^2*(x-1)/(2*x^4-2*x^2-3*x+1) ogf] A277653 6.93500 [-(-6*x^4+8*x^3+2*x^2-4*x-2)/(-2*x^5+2*x^4+2*x^3+x^2-4*x+1) lgdogf] A277653 7.48044 [-2*f(x)*x^4+2*f(x)*x^2-x^3+3*f(x)*x+x^2-f(x) ogf] A277660 16.3443 [-(5*x-15)/(x^2-6*x+1) lgdogf] A277660 5.37496 [{(n+1)*a(n+3)+(-15-6*n)*a(n+2)+(4+n)*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A277661 5.14436 [-f(x)^2*x^4+12*f(x)^2*x^3-38*f(x)^2*x^2-3*f(x)*x^3+12*f(x)^2*x+19*f(x)*x^2-f(x)^2-9*f(x)*x-2*x^2+f(x) ogf] A277661 9.06894 [(-1/(x^2-6*x+1)^(1/2)*(3*x^2-12*x+1)+1)/(x^2-6*x+1)^(1/2)/x lgdogf] A277667 15.2012 [1/(x^4-2*x^3+3*x^2-4*x+1) ogf] A277667 7.84062 [f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)-1 ogf] A277667 9.31075 [-(4*x^3-6*x^2+6*x-4)/(x^4-2*x^3+3*x^2-4*x+1) lgdogf] A277668 13.9687 [-1/(x^5-2*x^4+3*x^3-4*x^2+5*x-1) ogf] A277668 7.71190 [-(-5*x^4+8*x^3-9*x^2+8*x-5)/(-x^5+2*x^4-3*x^3+4*x^2-5*x+1) lgdogf] A277669 11.6366 [1/(x^6-2*x^5+3*x^4-4*x^3+5*x^2-6*x+1) ogf] A277669 6.52048 [-(-6*x^5+10*x^4-12*x^3+12*x^2-10*x+6)/(-x^6+2*x^5-3*x^4+4*x^3-5*x^2+6*x-1) lgdogf] A277670 10.8152 [-1/(x^7-2*x^6+3*x^5-4*x^4+5*x^3-6*x^2+7*x-1) ogf] A277671 8.92967 [1/(x^8-2*x^7+3*x^6-4*x^5+5*x^4-6*x^3+7*x^2-8*x+1) ogf] A277672 7.31981 [(-2+83*f(x))*(9*f(x)*x^2+7*f(x)*x+x^2-f(x)+2*x+1)^2 ogf] A277672 8.09485 [-1/(x^9-2*x^8+3*x^7-4*x^6+5*x^5-6*x^4+7*x^3-8*x^2+9*x-1) ogf] A277690 6.35142 [-(x^9-3*x^8-4*x^7-6*x^6-6*x^5-7*x^4-6*x^3-7*x^2-4*x-2)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A277723 8.54067 [x*(7*x^8+6*x^7+6*x^6+6*x^5+7*x^4+6*x^3+6*x^2+6*x+6)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A277752 10.9960 [(x^3+x^2-1)/(x+1)/(x^2-x-1)/(x-1)^2 ogf] A277757 11.1899 [{a(n+1)-64*a(n),a(0)=2} ogf] A277757 14.1205 [-64*f(x)*x+f(x)-2 ogf] A277757 19.7688 [64/(-64*x+1) lgdogf] A277757 22.8101 [-2/(64*x-1) ogf] A277761 11.1780 [-x*(2*x-1)/(2*x+1)/(6*x^2-6*x+1) ogf] A277761 5.78859 [{a(n+3)-4*a(n+2)-6*a(n+1)+12*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A277761 6.00299 [(2*f(x)+1)*(12*f(x)*x^3-6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-x) ogf] A277761 7.62732 [-(-48*x^3+48*x^2-12*x-2)/(-24*x^4+24*x^3+2*x^2-6*x+1) lgdogf] A277782 10.2018 [-3*x*(x-1)/(6*x^3-8*x^2-5*x+1) ogf] A277782 5.19199 [{a(n+3)-5*a(n+2)-8*a(n+1)+6*a(n),a(0)=0,a(1)=3,a(2)=12} ogf] A277782 5.87378 [f(x)*(6*f(x)*x^3-8*f(x)*x^2-5*f(x)*x+3*x^2+f(x)-3*x) ogf] A277782 6.92265 [-(-12*x^3+26*x^2-16*x-4)/(-6*x^4+14*x^3-3*x^2-6*x+1) lgdogf] A277789 12.0222 [(2*x^3+x^2-1)/(x+1)/(x^2-2*x-1)/(x-1)^2 ogf] A277792 6.66448 [-x*(x+1)*(x^4+188*x^3+1062*x^2+188*x+1)/(x-1)^7 ogf] A277792 7.02895 [-(-2*x^5-572*x^4-5756*x^3-10000*x^2-3634*x-196)/(-x^6-188*x^5-1061*x^4+1061*x^2+188*x+1) lgdogf] A277797 10.5467 [(1100*x^3-100*x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277797 5.67898 [-(2200000000*f(x)+130943782691)*(100*f(x)*x^4-101*f(x)*x^2-1100*x^3+100*x^2+f(x)-1) ogf] A277798 10.8403 [(11*x^3-x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277798 6.22142 [(2200*f(x)+87278439131)*(100*f(x)*x^4-101*f(x)*x^2-11*x^3+x^2+f(x)-1) ogf] A277799 13.2249 [(12*x^3-4*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277799 7.88405 [(1536*f(x)+6059)*(4*f(x)*x^4-5*f(x)*x^2-12*x^3+4*x^2+f(x)-1) ogf] A277800 12.7180 [(3*x^3-x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277800 7.53203 [-(24*f(x)+67)*(4*f(x)*x^4-5*f(x)*x^2-3*x^3+x^2+f(x)-1) ogf] A277830 7.76524 [-(100*x^3-121*x^2+21*x-1)/(10*x-1)^2/(x-1)^2 ogf] A277864 10.0211 [(1000*x^3-100*x^2+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277864 5.98035 [-(50050*f(x)+2460987)*(100*f(x)*x^4-101*f(x)*x^2-1000*x^3+100*x^2+f(x)-x-1) ogf] A277864 6.56251 [{-a(n+4)+101*a(n+2)-100*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1101} ogf] A277865 5.9153 [(200200*f(x)+83943801)*(100*f(x)*x^4-101*f(x)*x^2-x^3+x^2+f(x)-10*x-1) ogf] A277865 6.01728 [{-a(n+4)+101*a(n+2)-100*a(n),a(0)=1,a(1)=10,a(2)=100,a(3)=1011} ogf] A277865 9.97150 [(x^3-x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277866 12.6724 [(8*x^3-4*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277866 7.99711 [(18*f(x)+43)*(4*f(x)*x^4-5*f(x)*x^2-8*x^3+4*x^2+f(x)-x-1) ogf] A277867 12.3694 [(x^3-x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277867 7.65724 [(72*f(x)+1337)*(4*f(x)*x^4-5*f(x)*x^2-x^3+x^2+f(x)-2*x-1) ogf] A277924 3.58413 [{(16*n^2+56*n+48)*a(n+1)+(-8*n^2-34*n-28)*a(n+2)+(n^2+5*n+4)*a(n+3),a(0)=1,a(1)=4,a(2)=15} ogf] A277924 5.07988 [16*f(x)^2*x^3-8*f(x)^2*x^2+f(x)^2*x+20*f(x)*x^2-9*f(x)*x+x^2+f(x)+4*x-1 ogf] A277926 7.46823 [-(100*x^5-100*x^4-101*x^3+101*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277927 7.35493 [-(1000*x^5-100*x^4-1010*x^3+101*x^2-x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A277928 9.19405 [-(4*x^5-4*x^4-5*x^3+5*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277929 9.08193 [-(8*x^5-4*x^4-10*x^3+5*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277935 11.3169 [2*x/(x-1)^6 ogf] A277935 29.1007 [6/(-x+1) lgdogf] A277935 62.2189 [[6] ogf_with_Euler_transform] A277935 7.91087 [{(n+1)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=2} ogf] A277936 11.4572 [(4*x^4-5*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A277936 5.95774 [{-a(n+5)+5*a(n+3)-4*a(n+1),a(0)=1,a(1)=3,a(2)=0,a(3)=15,a(4)=0} ogf] A277936 9.42681 [4*f(x)*x^4-4*x^4-5*f(x)*x^2+5*x^2+f(x)-3*x-1 ogf] A277939 4.45202 [(129921*f(x)-78652)*(2*f(x)*x^4+f(x)*x^3-6*f(x)*x^2-4*f(x)*x-2*x^2+f(x)-3*x) ogf] A277939 9.17802 [x*(2*x+3)/(x+1)/(2*x^3-x^2-5*x+1) ogf] A277952 10.5758 [-(x^2-10*x-1)/(10*x-1)/(10*x+1)/(x-1) ogf] A277952 5.53973 [-(2000*f(x)+1509)*(100*f(x)*x^3-100*f(x)*x^2-f(x)*x+x^2+f(x)-10*x-1) ogf] A277952 5.86559 [{a(n+3)-a(n+2)-100*a(n+1)+100*a(n),a(0)=1,a(1)=11,a(2)=110} ogf] A277952 6.06961 [-(-100*x^4+2000*x^3-701*x^2-198*x-11)/(-100*x^5+1100*x^4-899*x^3-111*x^2+9*x+1) lgdogf] A277953 11.0540 [-(100*x^2-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A277953 6.14109 [(2*f(x)-849)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x+100*x^2+f(x)-x-1) ogf] A277953 6.19403 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=11,a(2)=11} ogf] A277953 6.24789 [-(-1000*x^4+20*x^3-971*x^2+198*x-11)/(-1000*x^5+110*x^4+1009*x^3-111*x^2-9*x+1) lgdogf] A277954 12.5530 [-(x^2-2*x-1)/(2*x-1)/(2*x+1)/(x-1) ogf] A277954 6.54474 [-(16*f(x)+29)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x+x^2+f(x)-2*x-1) ogf] A277954 6.83693 [{-a(n+3)+a(n+2)+4*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=6} ogf] A277954 7.81363 [-(-4*x^4+16*x^3+3*x^2-6*x-3)/(-4*x^5+12*x^4-3*x^3-7*x^2+x+1) lgdogf] A277955 12.6024 [-(4*x^2-x-1)/(x-1)/(2*x-1)/(x+1) ogf] A277955 6.86380 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=3} ogf] A277955 6.92564 [(2*f(x)+7)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+4*x^2+f(x)-x-1) ogf] A277955 8.00777 [-(-8*x^4+4*x^3-3*x^2+6*x-3)/(-8*x^5+6*x^4+9*x^3-7*x^2-x+1) lgdogf] A277963 13.8735 [-(x^3-3*x^2+3*x)/(-x^2+2*x-1) ogf_with_Euler_transform] A277969 7.10253 [-1/2/(x-1)^(1/2)/x/(5*x-1)^(1/2)+1/2*(4*x+1)/(x-1)/x lgdogf] A277975 11.4807 [-(25*x^2-5*x+1)/(x-1)/(5*x-1)^2 ogf] A277975 6.27099 [(538*f(x)-285)*(25*f(x)*x^3-35*f(x)*x^2+11*f(x)*x+25*x^2-f(x)-5*x+1) ogf] A277975 6.43316 [{a(n+3)-11*a(n+2)+35*a(n+1)-25*a(n),a(0)=1,a(1)=6,a(2)=56} ogf] A277975 8.29163 [-(125*x^3-25*x^2-10*x-6)/(125*x^4-175*x^3+60*x^2-11*x+1) lgdogf] A277976 12.9560 [2*x*(10*x-13)/(x-1)^3 ogf] A277976 14.4228 [-(-20*x+29)/(-10*x^2+23*x-13) lgdogf] A277976 6.31741 [-(3105*f(x)-482608)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-20*x^2-f(x)+26*x) ogf] A277976 6.76465 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=26,a(2)=58} ogf] A277977 4.12156 [{(319*n^2+1963*n+2650)*a(n+1)+(252*n^2+3570*n+8258)*a(n+2)+(-571*n^2-1973*n-1662)*a(n+3),a(0)=0,a(1)=1,a(2)=19} ogf] A277977 8.77492 [x*(x+1)*(2*x^2-13*x-1)/(x-1)^5 ogf] A277977 9.60080 [-(-4*x^3+27*x^2+78*x+19)/(-2*x^4+13*x^3+3*x^2-13*x-1) lgdogf] A277978 13.7963 [6*x*(x-2)/(x-1)^3 ogf] A277978 16.6705 [-(-2*x+5)/(-x^2+3*x-2) lgdogf] A277978 6.95814 [-(23*f(x)-378)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+12*x) ogf] A277978 7.08129 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=12,a(2)=30} ogf] A277979 14.6318 [2*x*(7*x-11)/(x-1)^3 ogf] A277979 16.6015 [-(-14*x+26)/(-7*x^2+18*x-11) lgdogf] A277979 7.37844 [(4696*f(x)-252495)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-14*x^2-f(x)+22*x) ogf] A277979 7.63963 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=22,a(2)=52} ogf] A277980 13.1896 [6*x*(x-5)/(x-1)^3 ogf] A277980 15.6121 [-(-2*x+14)/(-x^2+6*x-5) lgdogf] A277980 6.76987 [(232*f(x)-4941)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+30*x) ogf] A277980 6.76987 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=30,a(2)=84} ogf] A277981 11.0282 [-(17*x^2-28*x-1)/(17*x^3-48*x^2+41*x-10) lgdogf] A277981 12.0621 [2*(17*x^2-31*x+10)/(x-1)^3 ogf] A277981 6.32766 [(5336*f(x)-599375)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-34*x^2-f(x)+62*x-20) ogf] A277981 6.77171 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-20,a(1)=2,a(2)=32} ogf] A277982 10.9816 [-(14*x^2-54*x+4)/(14*x^3-55*x^2+56*x-15) lgdogf] A277982 12.0111 [2*(7*x-3)*(2*x-5)/(x-1)^3 ogf] A277982 5.95899 [-(121176*f(x)-5296103)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-28*x^2-f(x)+82*x-30) ogf] A277982 6.74306 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=-30,a(1)=-8,a(2)=38} ogf] A277983 12.1095 [-(-14*x^2-12*x-1)/(-14*x^3+22*x^2-11*x+3) lgdogf] A277983 12.8547 [-12*(14*x^2-8*x+3)/(x-1)^3 ogf] A277983 6.57916 [-(3483*f(x)-150028)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+168*x^2-f(x)-96*x+36) ogf] A277983 7.26568 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=36,a(1)=12,a(2)=96} ogf] A277984 14.2249 [-12*x*(7*x+2)/(x-1)^3 ogf] A277984 16.7853 [-(-14*x-13)/(-7*x^2+5*x+2) lgdogf] A277984 6.93609 [-(8829*f(x)-303644)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+84*x^2-f(x)+24*x) ogf] A277984 7.36199 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=24,a(2)=156} ogf] A277985 13.6358 [-(-25*x^2-52*x-4)/(-25*x^3+24*x^2+1) lgdogf] A277985 13.8522 [-6*(25*x^2+x+1)/(x-1)^3 ogf] A277985 7.09504 [-(621*f(x)-31886)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+150*x^2-f(x)+6*x+6) ogf] A277985 7.58860 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=6,a(1)=24,a(2)=204} ogf] A277986 15.0640 [-(-44*x-30)/(-44*x^2+51*x-7) lgdogf] A277986 16.6665 [2*(44*x-7)/(x-1)^2 ogf] A277986 8.60799 [(37*f(x)+1418)*(f(x)*x^2-2*f(x)*x+f(x)-88*x+14) ogf] A277986 9.32532 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-14,a(1)=60} ogf] A277987 13.9259 [-(-32*x-18)/(-32*x^2+39*x-7) lgdogf] A277987 15.0864 [4*(32*x-7)/(x-1)^2 ogf] A277987 7.87116 [(25*f(x)+1348)*(f(x)*x^2-2*f(x)*x+f(x)-128*x+28) ogf] A277987 8.62079 [{-a(n+2)+2*a(n+1)-a(n),a(0)=-28,a(1)=72} ogf] A277988 15.6409 [-2*(210*x-193)/(2*x-1)/(x-1) ogf] A277988 7.66407 [-(335*f(x)+143012)*(2*f(x)*x^2-3*f(x)*x+f(x)+420*x-386) ogf] A277988 8.91170 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=386,a(1)=738} ogf] A277988 9.70134 [-(-420*x^2+772*x-369)/(-420*x^3+1016*x^2-789*x+193) lgdogf] A277989 15.7769 [-(498*x-461)/(2*x-1)/(x-1) ogf] A277989 7.73071 [-(811*f(x)+409354)*(2*f(x)*x^2-3*f(x)*x+f(x)+498*x-461) ogf] A277989 8.98919 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=461,a(1)=885} ogf] A277989 9.54407 [-(-996*x^2+1844*x-885)/(-996*x^3+2416*x^2-1881*x+461) lgdogf] A277990 14.2249 [-12*x*(4*x+5)/(x-1)^3 ogf] A277990 17.1279 [-(8*x+19)/(4*x^2+x-5) lgdogf] A277990 7.17322 [(6723*f(x)-257908)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+48*x^2-f(x)+60*x) ogf] A277990 7.36199 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=60,a(2)=228} ogf] A277991 12.0868 [-18*x*(5*x+4)/(x-1)^3 ogf] A277991 14.2624 [-(10*x+17)/(5*x^2-x-4) lgdogf] A277991 5.89356 [-(3915*f(x)-210938)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+90*x^2-f(x)+72*x) ogf] A277991 6.25544 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=72,a(2)=306} ogf] A278000 3.78408 [-(101602395*f(x)+43765378)*(6*f(x)*x^4-3*f(x)*x^3-6*f(x)*x^2+2*x^3-6*f(x)*x+2*x^2+f(x)-9*x) ogf] A278000 7.87918 [-x*(2*x^2+2*x-9)/(6*x^4-3*x^3-6*x^2-6*x+1) ogf] A278008 10.3204 [-8*f(x)*x^2-5*f(x)*x+f(x)-6*x ogf] A278008 12.4266 [-(-16*x-5)/(-8*x^2-5*x+1) lgdogf] A278008 16.4569 [-6*x/(8*x^2+5*x-1) ogf] A278008 7.51733 [{-a(n+2)+5*a(n+1)+8*a(n),a(0)=0,a(1)=6} ogf] A278015 10.3086 [-2*x*(4*x-3)/(x+1)/(x^3+7*x^2-7*x+1) ogf] A278015 5.1095 [-(343*f(x)-118)*(f(x)*x^4+8*f(x)*x^3-6*f(x)*x+8*x^2+f(x)-6*x) ogf] A278023 4.42705 [4*f(x)^2*x^4-f(x)^2*x^3+8*f(x)*x^4+4*f(x)^2*x^2-2*f(x)*x^3+4*x^4+3*f(x)^2*x+4*f(x)*x^2-x^3-f(x)^2+3*f(x)*x-f(x)+x ogf] A278036 6.19052 [4*(32*x^4+24*x^3-28*x^2+8*x-1)/(8*x-1)/(2*x-1)/(8*x^2-1)/(4*x-1)^2 ogf] A278037 5.17647 [(8748*x^4+3159*x^3-1755*x^2+180*x-10)/(3*x-1)/(27*x-1)/(27*x^2-1)/(9*x-1)^2 ogf] A278069 3.16154 [{(-9-3*n)*a(n+1)+(12*n^2+53*n+52)*a(n+2)+(4*n^2+33*n+63)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=0,a(2)=3,a(3)=-32} ogf] A278069 9.02704 [1/2*(2*x-1)/x/(4*x+1)^(1/2)+1/2/(4*x+1)/x lgdegf] A278070 8.76150 [1/2*I/x/(4*x-1)^(1/2)*(-1+2*x)-1/2/(4*x-1)/x lgdegf] A278088 4.71104 [{a(n+5)-a(n+4)-4*a(n+3)-3*a(n+2),a(0)=0,a(1)=2,a(2)=3,a(3)=10,a(4)=27} ogf] A278088 5.33673 [(1371*f(x)+610)*(3*f(x)*x^3-x^4+4*f(x)*x^2-x^3+f(x)*x+x^2-f(x)+2*x) ogf] A278088 9.35755 [x*(x^3+x^2-x-2)/(3*x^3+4*x^2+x-1) ogf] A278095 6.98089 [-2*x*(x^3-x+1)/(2*x^7-6*x^5-3*x^4-3*x^3-x^2+6*x-1) ogf] A278105 10.4062 [-(-2*x-1)/(x^2+x+3) lgdogf] A278105 7.56814 [{-a(n+3),a(0)=3,a(1)=1,a(2)=1} ogf] A278105 8.76311 [(f(x)-3)*(-x^2+f(x)-x-3) ogf] A278122 11.0439 [-(22*x^2+80*x-71)/(22*x^3+7*x^2-49*x+20) lgdogf] A278122 16.1056 [8*(11*x+20)/(2*x-1)/(x-1) ogf] A278122 8.22416 [(133*f(x)+19048)*(2*f(x)*x^2-3*f(x)*x+f(x)-88*x-160) ogf] A278122 8.98919 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=160,a(1)=568} ogf] A278123 10.2597 [-(106*x^2+388*x-344)/(106*x^3+35*x^2-238*x+97) lgdogf] A278123 15.9130 [2*(53*x+97)/(2*x-1)/(x-1) ogf] A278123 8.20775 [(161*f(x)+27934)*(2*f(x)*x^2-3*f(x)*x+f(x)-106*x-194) ogf] A278123 9.06669 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=194,a(1)=688} ogf] A278124 10.5064 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-4,a(1)=168} ogf] A278124 12.6076 [-(-90*x^2+4*x+42)/(-90*x^3+137*x^2-48*x+1) lgdogf] A278124 18.7773 [4*(45*x-1)/(2*x-1)/(x-1) ogf] A278124 9.69818 [(65*f(x)+3788)*(2*f(x)*x^2-3*f(x)*x+f(x)-180*x+4) ogf] A278125 12.0500 [-(-98*x^2+8*x+43)/(-98*x^3+151*x^2-55*x+2) lgdogf] A278125 17.5729 [5*(49*x-2)/(2*x-1)/(x-1) ogf] A278125 8.97337 [(137*f(x)+10615)*(2*f(x)*x^2-3*f(x)*x+f(x)-245*x+10) ogf] A278125 9.92351 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=-10,a(1)=215} ogf] A278126 12.9585 [-f(x)*x^2+2*f(x)*x-f(x)+12*x+66 ogf] A278126 16.8460 [-(2*x+24)/(2*x^2+9*x-11) lgdogf] A278126 17.9213 [6*(2*x+11)/(x-1)^2 ogf] A278126 9.90942 [{-a(n+2)+2*a(n+1)-a(n),a(0)=66,a(1)=144} ogf] A278127 15.7400 [-(28*x+170)/(28*x^2+43*x-71) lgdogf] A278127 18.0842 [(28*x+71)/(x-1)^2 ogf] A278127 9.3402 [(99*f(x)+7421)*(f(x)*x^2-2*f(x)*x+f(x)-28*x-71) ogf] A278127 9.99951 [{-a(n+2)+2*a(n+1)-a(n),a(0)=71,a(1)=170} ogf] A278128 10.9142 [-(4*x^2+44*x-35)/(4*x^3+16*x^2-31*x+11) lgdogf] A278128 15.6891 [12*(2*x+11)/(2*x-1)/(x-1) ogf] A278128 8.18563 [(61*f(x)+6648)*(2*f(x)*x^2-3*f(x)*x+f(x)-24*x-132) ogf] A278128 8.75671 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=132,a(1)=420} ogf] A278129 14.9686 [4*(7*x+40)/(2*x-1)/(x-1) ogf] A278129 7.64354 [(221*f(x)+29156)*(2*f(x)*x^2-3*f(x)*x+f(x)-28*x-160) ogf] A278129 8.35457 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=160,a(1)=508} ogf] A278129 9.70936 [-(14*x^2+160*x-127)/(14*x^3+59*x^2-113*x+40) lgdogf] A278130 11.0896 [-(-16*x^2+180*x-127)/(-16*x^3+114*x^2-143*x+45) lgdogf] A278130 17.3276 [-6*(8*x-45)/(2*x-1)/(x-1) ogf] A278130 8.94325 [(67*f(x)+14168)*(2*f(x)*x^2-3*f(x)*x+f(x)+48*x-270) ogf] A278130 9.67120 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=270,a(1)=762} ogf] A278131 15.2432 [-3*(15*x-106)/(2*x-1)/(x-1) ogf] A278131 7.70185 [(485*f(x)+121197)*(2*f(x)*x^2-3*f(x)*x+f(x)+45*x-318) ogf] A278131 8.50786 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=318,a(1)=909} ogf] A278131 9.62732 [-(-30*x^2+424*x-303)/(-30*x^3+257*x^2-333*x+106) lgdogf] A278137 9.45773 [-(x^4+2*x^3+x^2-2*x-1)/(x^2+x-1)/(x^3+x^2-1) ogf] A278151 10.3257 [x*(x+1)*(x-2)/(x^3+x^2+3*x-1) ogf] A278151 5.08461 [{-a(n+4)+3*a(n+3)+a(n+2)+a(n+1),a(0)=0,a(1)=2,a(2)=7,a(3)=22} ogf] A278151 5.64007 [(264*f(x)+245)*(f(x)*x^3+f(x)*x^2-x^3+3*f(x)*x+x^2-f(x)+2*x) ogf] A278151 8.28604 [-(x^4-2*x^3-10*x^2-2*x-7)/(x^5-6*x^2-5*x+2) lgdogf] A278171 6.65446 [x*(x+1)*(x^4-x^2-3*x+2)/(x^6+2*x^5+3*x^4-x^2-3*x+1) ogf] A278183 5.28338 [-x*(4*x^4+x^3+12*x^2-4*x-3)/(16*x^6-14*x^5+26*x^4-15*x^3+4*x^2-8*x+1) ogf] A278189 4.89559 [-x*(2*x-3)*(x^2-x+1)^2/(4*x^7-7*x^6-5*x^5+12*x^4-9*x^3+16*x^2-9*x+1) ogf] A278203 4.16888 [x*(2*x^7-4*x^6-x^5+13*x^4-13*x^3-21*x^2+7*x+15)/(2*x^8-3*x^7+9*x^5-11*x^4-11*x^3-7*x^2-6*x+1) ogf] A278267 4.21848 [-x*(8*x^6-9*x^5+4*x^4-13*x^3+19*x^2-7*x-4)/(32*x^8-74*x^7+76*x^6-70*x^5+65*x^4-37*x^3+14*x^2-10*x+1) ogf] A278274 10.7495 [-x*(x+2)*(x-1)/(2*x^3-x^2-3*x+1) ogf] A278274 5.29332 [{a(n+4)-3*a(n+3)-a(n+2)+2*a(n+1),a(0)=0,a(1)=2,a(2)=5,a(3)=16} ogf] A278274 5.68063 [-(919*f(x)+297)*(2*f(x)*x^3-f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)-2*x) ogf] A278274 7.85076 [-(-2*x^4-4*x^3+10*x^2-2*x-5)/(-2*x^5-x^4+8*x^3-7*x+2) lgdogf] A278275 4.37509 [-x*(x-1)*(2*x^6-2*x^5+9*x^4+5*x^3+21*x^2-5*x-4)/(8*x^7-16*x^6+19*x^5-17*x^3+3*x^2+6*x-1) ogf] A278281 10.1410 [x*(x^2-2)/(x^4-x^3+3*x^2+2*x-1) ogf] A278281 6.39968 [-f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-2*f(x)*x+f(x)-2*x ogf] A278310 10.9787 [(x^2-38*x-3)/(x-1)/(x^2-34*x+1) ogf] A278310 5.36364 [(4943862072*f(x)-185716531)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-x^2-f(x)+38*x+3) ogf] A278310 5.90450 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=3,a(1)=143,a(2)=4899} ogf] A278310 6.27354 [-(x^4-76*x^3+1286*x^2+212*x-143)/(x^5-73*x^4+1362*x^3-1226*x^2-67*x+3) lgdogf] A278313 14.7850 [-(x^3+3*x^2+2*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A278319 3.58294 [x*(3*x^7-10*x^6+x^5+41*x^4-73*x^3+52*x^2-16*x+3)/(x-1)^12 ogf] A278329 6.21455 [-(f(x)-1)^3 ogf] A278330 6.12567 [-(4*x^6+x^3-1)/(8*x^12+16*x^11+6*x^9+4*x^8+8*x^7-21*x^6-4*x^5-8*x^4-2*x^3-2*x^2+1) ogf] A278357 5.82358 [(3*x^4-8*x^3+7*x^2-2*x+1)/(x-1)^8 ogf] A278357 7.32451 [-(-12*x^4+28*x^3-18*x^2-6)/(-3*x^5+11*x^4-15*x^3+9*x^2-3*x+1) lgdogf] A278365 3.60733 [{(3*n^2+27*n+60)*a(n+1)+(-7*n^2-32*n+15)*a(n+2)+(4*n^2-6*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=6} ogf] A278365 3.96807 [-x^4*(x-2)*(2*x-3)*(2*x^2-2*x-1)/(x-1)^12 ogf] A278415 6.55818 [3*f(x)^3*x^4+16*f(x)^3*x^3+20*f(x)^3*x^2-12*f(x)^3*x+4*f(x)^3+f(x)*x^2+3*f(x)*x-3*f(x)-1 ogf] A278417 11.7044 [-(2*x^3-3*x^2+6*x-7)/(x^4-5*x^3+6*x^2-5*x+1) lgdogf] A278417 12.6534 [2*x*(x^2-x+1)/(x^2-4*x+1)^2 ogf] A278417 5.32016 [{(n^2+5*n+6)*a(n+1)+(-4*n^2-16*n-12)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=2,a(2)=14} ogf] A278417 6.64078 [-(417*f(x)+82)*(f(x)*x^4-8*f(x)*x^3+18*f(x)*x^2-2*x^3-8*f(x)*x+2*x^2+f(x)-2*x) ogf] A278429 3.66405 [8*f(x)^2*x^4+23*f(x)^2*x^3+21*f(x)^2*x^2+32*f(x)*x^3+5*f(x)^2*x-52*f(x)*x^2-f(x)^2-2*f(x)*x+32*x^2+f(x) ogf] A278438 10.1239 [(x^2-106*x-7)/(x-1)/(x^2-98*x+1) ogf] A278438 4.80333 [(3651821157800*f(x)-43829516159)*(f(x)*x^3-99*f(x)*x^2+99*f(x)*x-x^2-f(x)+106*x+7) ogf] A278438 5.48380 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=7,a(1)=799,a(2)=78407} ogf] A278438 5.57675 [-(x^4-212*x^3+10374*x^2+1388*x-799)/(x^5-205*x^4+10586*x^3-9802*x^2-587*x+7) lgdogf] A278443 5.56610 [(1100*x^4-1100*x^3+100*x^2-1)/(10*x-1)/(10*x+1)/(x-1)/(10*x^2-1)/(10*x^2+1) ogf] A278444 5.81671 [(110*x^4-11*x^3+x^2-1)/(x-1)/(10*x-1)/(x+1)/(10*x^2-1)/(10*x^2+1) ogf] A278445 7.50879 [(12*x^4-12*x^3+4*x^2-1)/(2*x-1)/(2*x+1)/(x-1)/(2*x^2-1)/(2*x^2+1) ogf] A278446 7.65724 [(2*x+1)*(3*x^3-3*x^2+2*x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1)/(2*x^2+1) ogf] A278459 8.77234 [2*f(x)^2*x-f(x)*x^2+2*f(x)*x-x^2-f(x)-2*x+1 ogf] A278461 13.5871 [-(x^3-4*x^2+x)/(x^2+2*x-1) revogf] A278461 8.58135 [f(x)^3*x^2+f(x)^2*x^2-4*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A278475 11.6532 [-(x^2+x-1)/(x-1)/(x^2+29*x-1) ogf] A278475 6.11795 [-(814*f(x)+27)*(f(x)*x^3+28*f(x)*x^2-30*f(x)*x+x^2+f(x)+x-1) ogf] A278475 6.27482 [{a(n+3)-30*a(n+2)+28*a(n+1)+a(n),a(0)=1,a(1)=29,a(2)=841} ogf] A278475 7.19759 [-(-x^4-2*x^3-55*x^2+58*x-29)/(-x^5-29*x^4+3*x^3+57*x^2-31*x+1) lgdogf] A278476 10.7028 [-(x^2+x-1)/(x-1)/(x^2+14*x-1) ogf] A278476 5.76305 [{a(n+3)-15*a(n+2)+13*a(n+1)+a(n),a(0)=1,a(1)=14,a(2)=196} ogf] A278476 5.91471 [(46*f(x)+3)*(f(x)*x^3+13*f(x)*x^2-15*f(x)*x+x^2+f(x)+x-1) ogf] A278476 6.61056 [-(-x^4-2*x^3-25*x^2+28*x-14)/(-x^5-14*x^4+3*x^3+27*x^2-16*x+1) lgdogf] A278491 6.13413 [-x*(3*x^12+21*x^11+11*x^10+64*x^9+21*x^8+75*x^7+122*x^6+75*x^5+21*x^4+64*x^3+11*x^2+21*x+3)/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^3 ogf] A278536 15.9364 [-(4*x^5+3*x^4+x^3+4*x^2+x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A278547 3.63034 [x^2*(6*x^5-32*x^4+66*x^3-60*x^2+17*x+4)/(x-1)^12 ogf] A278555 11.1494 [-(x^4+13*x^3+13*x^2+13*x+13)/(x^5-1) ogf_with_Euler_transform] A278576 17.7497 [-exp(x)+6*exp(2*x) lgdegf] A278579 7.28758 [(x^11+x^10+x^9+x^8+2*x^7+2*x^6+x^5+3*x^4+x^3+3*x^2+2*x+5)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A278580 7.33591 [(5*x^11+2*x^10+3*x^9+x^8+3*x^7+x^6+2*x^5+2*x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A278581 2.28524 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A278596 4.63186 [256*f(x)^2*x^4-32*f(x)^2*x^3+32*f(x)*x^3+12*f(x)*x^2+6*f(x)*x+x^2-f(x)+2*x+1 ogf] A278612 14.8619 [-(5*x^2-4*x+3)/(4*x^3-5*x^2+4*x-1) ogf] A278612 8.02277 [{a(n+3)-4*a(n+2)+5*a(n+1)-4*a(n),a(0)=3,a(1)=8,a(2)=22} ogf] A278612 8.0944 [(17*f(x)-9)*(4*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+5*x^2-f(x)-4*x+3) ogf] A278612 8.63403 [-(-20*x^4+32*x^3-36*x^2+20*x-8)/(-20*x^5+41*x^4-52*x^3+36*x^2-16*x+3) lgdogf] A278613 3.14936 [-(2*f(x)+103)*(6*f(x)*x^3+2*f(x)*x^2+f(x)*x+7*x^2-f(x)+5*x+3) ogf] A278613 3.26084 [{a(n+3)-a(n+2)-2*a(n+1)-6*a(n),a(0)=3,a(1)=8,a(2)=21} ogf] A278613 6.04057 [-(7*x^2+5*x+3)/(6*x^3+2*x^2+x-1) ogf] A278614 3.39339 [{-a(n+3)+3*a(n+2)+a(n+1)-4*a(n),a(0)=3,a(1)=8,a(2)=22} ogf] A278614 3.3934 [(55*f(x)-51)*(4*f(x)*x^3-f(x)*x^2-3*f(x)*x+5*x^2+f(x)+x-3) ogf] A278614 6.28611 [-(5*x^2+x-3)/(4*x^3-x^2-3*x+1) ogf] A278615 16.7374 [-(7*x^2-2*x-3)/(6*x^3-4*x^2-2*x+1) ogf] A278615 8.57967 [-(160*f(x)+437)*(6*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+7*x^2+f(x)-2*x-3) ogf] A278615 9.03522 [{a(n+3)-2*a(n+2)-4*a(n+1)+6*a(n),a(0)=3,a(1)=8,a(2)=21} ogf] A278615 9.81712 [-(-42*x^4+24*x^3+32*x^2-10*x-8)/(-42*x^5+40*x^4+24*x^3-23*x^2-4*x+3) lgdogf] A278616 3.17651 [-(13*f(x)-4)*(f(x)*x^3+4*f(x)*x^2+f(x)*x+x^2-f(x)+5*x+3) ogf] A278616 3.26084 [{-a(n+3)+a(n+2)+4*a(n+1)+a(n),a(0)=3,a(1)=8,a(2)=21} ogf] A278616 6.04057 [-(x^2+5*x+3)/(x^3+4*x^2+x-1) ogf] A278620 10.7169 [-(3*x^2-198*x+99)/(x^3-99*x^2+99*x-1) lgdogf] A278620 17.1969 [-x/(x-1)/(x^2-98*x+1) ogf] A278620 6.48656 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=99} ogf] A278620 9.36036 [f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+x ogf] A278665 5.49519 [(1000000*x^10-1000000*x^7+10000*x^6+9900*x^5-100*x^4-99*x^3-99*x^2+x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A278666 6.74548 [(16*x^10-2*x^7+4*x^6-6*x^5-4*x^4+6*x^3+3*x^2+2*x+1)/(2*x-1)/(2*x+1)/(x-1)/(4*x^2+1) ogf] A278667 6.86120 [(64*x^10-64*x^7+16*x^6+12*x^5-4*x^4-3*x^3-3*x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A278668 12.3617 [-(2*x^4+3*x^3+3*x^2+3*x+3)/(x^5-1) ogf_with_Euler_transform] A278670 3.78084 [{(73*n^2+959*n+2970)*a(n+1)+(-149*n^2-1327*n-1818)*a(n+2)+(76*n^2+350*n+366)*a(n+3),a(0)=1,a(1)=8,a(2)=33} ogf] A278670 6.98555 [-(x^3-2*x^2+x+1)/(x-1)^7 ogf] A278670 9.65109 [-(4*x^3-7*x^2+2*x+8)/(x^4-3*x^3+3*x^2-1) lgdogf] A278671 3.58592 [(x^7-5*x^6+8*x^5+x^4-19*x^3+26*x^2-15*x+4)/(x-1)^12 ogf] A278680 12.5874 [-(3*x^4+4*x^3+4*x^2+4*x+4)/(x^5-1) ogf_with_Euler_transform] A278681 12.2708 [-(x^3-x^2+2*x-3)/(2*x^4-2*x^3+4*x^2-6*x+1) ogf] A278681 6.79747 [(10*f(x)-11)*(2*f(x)*x^4-2*f(x)*x^3+4*f(x)*x^2+x^3-6*f(x)*x-x^2+f(x)+2*x-3) ogf] A278681 6.84673 [-(-2*x^6+4*x^5-10*x^4+20*x^3-17*x^2+22*x-16)/(-2*x^7+4*x^6-10*x^5+20*x^4-21*x^3+25*x^2-20*x+3) lgdogf] A278682 4.28882 [-x^2*(2*x^8-2*x^7-15*x^6+75*x^4+66*x^3+83*x^2+24*x+7)/(x+1)^4/(x-1)^7 ogf] A278689 6.61304 [64*f(x)^2*x-16*f(x)*x^2+x^3-8*f(x)^2+10*f(x)*x+2*x^2-f(x)+x ogf] A278690 16.7882 [-(x^2+2*x+2)/(x^3-1) ogf_with_Euler_transform] A278692 11.5545 [-(x^3-x^2+2*x-4)/(x^4-x^3+2*x^2-4*x+1) ogf] A278692 6.09382 [{-a(n+4)+4*a(n+3)-2*a(n+2)+a(n+1)-a(n),a(0)=4,a(1)=14,a(2)=49,a(3)=171} ogf] A278692 6.40071 [(21*f(x)-19)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x-x^2+f(x)+2*x-4) ogf] A278706 16.9638 [1/(x^6-x^5-x^3-x+1) ogf] A278706 9.89554 [-(6*x^5-5*x^4-3*x^2-1)/(x^6-x^5-x^3-x+1) lgdogf] A278708 3.48483 [-(113*f(x)-12218)*(f(x)*x^2+f(x)*x-f(x)-10*x+154) ogf] A278708 3.97108 [{-a(n+2)+a(n+1)+a(n),a(0)=154,a(1)=144} ogf] A278708 7.11485 [2*(5*x-77)/(x^2+x-1) ogf] A278710 12.6033 [-(-2*x^2-2*x-2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A278718 9.74304 [x*(x^3-x^2-1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A278753 7.88930 [(1000*x^5-1000*x^3+100*x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A278754 8.65745 [(100*x^5-x^3+x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A278755 10.0458 [(8*x^5-8*x^3+4*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A278756 10.2599 [(4*x^5-x^3+x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A278757 6.15802 [-(10100*x^7-1100*x^6-9101*x^5+1011*x^4-1010*x^3+90*x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A278758 6.00012 [-(101000*x^7-11000*x^6-100910*x^5+11010*x^4-101*x^3-9*x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A278759 7.59916 [-(20*x^7-12*x^6-13*x^5+11*x^4-10*x^3+2*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A278760 7.63872 [-(40*x^7-24*x^6-38*x^5+26*x^4-5*x^3-x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A278764 8.09665 [-(2*x^5-x^4+5*x^3-4*x^2+2*x-5)/(x-1)/(x^5+3*x^3+2*x-1) ogf] A278767 17.8518 [-(-3*x-1)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A278768 17.0017 [-(-2*x-1)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A278769 18.5057 [-(-4*x-1)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A278772 3.90681 [-x*(x^6-5*x^5+12*x^4-14*x^3+7*x^2-2*x+2)/(x-1)^11 ogf] A278815 8.62438 [-(x^3+x^2+x-1)/(x^6+2*x^4-5*x^3-2*x^2-3*x+1) ogf] A278816 12.2302 [-(-7*x^3+21*x^2-14*x-2)/(7*x^4-14*x^3+7*x^2-x+1) lgdogf] A278816 17.8089 [-x*(7*x^3-7*x^2-1)/(x-1)^2 ogf] A278816 7.99299 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=10,a(4)=11} ogf] A278816 9.48704 [-(358*f(x)+23749)*(7*x^4+f(x)*x^2-7*x^3-2*f(x)*x+f(x)-x) ogf] A278831 16.6283 [(18*x^3+x^2-20)/(x-1) ogf] A278831 8.56608 [{a(n+4)-a(n+3),a(0)=20,a(1)=20,a(2)=19,a(3)=1} ogf] A278831 8.83377 [-(104688*f(x)-6642359)*(-18*x^3+f(x)*x-x^2-f(x)+20) ogf] A278831 9.74761 [-(-36*x^3+53*x^2+2*x-20)/(18*x^4-17*x^3-x^2-20*x+20) lgdogf] A278929 15.5791 [-1/(x^27+x^8-1) ogf] A278929 9.39689 [-(-27*x^26-8*x^7)/(-x^27-x^8+1) lgdogf] A278930 7.75055 [-(3432*x^5-5198*x^4+1869*x^3-124*x^2+22*x+2)/(x-1)/(2*x-1)/(4*x-1) ogf] A278969 51.2334 [-6*x^9-x^8+7 ogf_with_Euler_transform] A278971 68.6438 [-7*x^9-x^8+8 ogf_with_Euler_transform] A278988 5.76252 [-x^2*(12*x^7-52*x^6+97*x^5-100*x^4+71*x^3-34*x^2+9*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A278990 13.5247 [(-1+(-2*x+1)^(1/2))/(2*x-1) lgdegf] A278990 3.30180 [{(n+2)*a(n+1)+(2*n^2+8*n+6)*a(n+2)+(-2*n^2-16*n-30)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=0,a(2)=1,a(3)=5} ogf] A278991 3.74052 [{(2*n+4)*a(n+1)+(4*n+13)*a(n+2)+(2*n+7)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=24} ogf] A278991 7.52261 [(-1/2/(-1+2*x)^(3/2)*(4*x^2+6*x-1)-1/2*I)*(-1+2*x)^(1/2)/x lgdegf] A279005 7.45440 [-(4*x^8+x^7+x^6+7*x^5+x^4+x^3+7*x^2+x+1)/(-x^9+1) ogf_with_Euler_transform] A279014 4.34334 [-4*f(x)^2*x^3-15*f(x)^2*x^2+4*f(x)*x^3+8*f(x)^2*x+7*f(x)*x^2-x^3-f(x)^2-6*f(x)*x+f(x) ogf] A279015 7.04163 [-x^2*(x^10-3*x^9+5*x^8-5*x^7+3*x^6-x^5+2*x^2-2*x+4)/(x-1)^3 ogf] A279019 10.0965 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x) ogf] A279019 18.1738 [-2*x^2/(x-1)^3 ogf] A279019 29.2079 [3/(-x+1) lgdogf] A279019 62.5923 [[3] ogf_with_Euler_transform] A279019 7.43474 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A279028 10.0798 [-(-400*x^3+202*x)/(-100*x^4+101*x^2-1) lgdogf] A279028 15.7342 [1/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A279028 7.08905 [(10001*f(x)+200)*(100*f(x)*x^4-101*f(x)*x^2+f(x)-1) ogf] A279030 12.8400 [-(-16*x^3+10*x)/(-4*x^4+5*x^2-1) lgdogf] A279030 20.1275 [1/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A279030 8.76138 [(341*f(x)+284)*(4*f(x)*x^4-5*f(x)*x^2+f(x)-1) ogf] A279031 12.6199 [-(-3*x^2-3*x-3)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A279034 6.52144 [2*x*(x^5+3*x^4+8*x^3+6*x^2+7*x+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A279042 5.61026 [-81*(55*x^2+322*x+55)/(x-1)/(x^2-322*x+1)/(x^2+322*x+1) ogf] A279043 12.4902 [-63/(x-1)/(x^2-194*x+1) ogf] A279043 4.52401 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=63,a(1)=12285,a(2)=2383290} ogf] A279043 4.91067 [(1416355783*f(x)-36729)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x-f(x)+63) ogf] A279043 7.97985 [-(3*x^2-390*x+195)/(x^3-195*x^2+195*x-1) lgdogf] A279053 16.2939 [1/(10*x-1)/(10*x+1)/(x-1) ogf] A279053 5.66142 [{a(n+3)-a(n+2)-100*a(n+1)+100*a(n),a(0)=1,a(1)=1,a(2)=101} ogf] A279053 6.12888 [(10101*f(x)+302)*(100*f(x)*x^3-100*f(x)*x^2-f(x)*x+f(x)-1) ogf] A279053 9.27844 [-(-300*x^2+200*x+1)/(-100*x^3+100*x^2+x-1) lgdogf] A279093 7.82948 [(122*x^5-377*x^4+272*x^3+241*x^2-412*x+178)/(x-1)^4 ogf] A279100 11.0533 [(x^4+x^3+x^2-x-1)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A279101 11.4918 [(x^4+x^3+2*x^2-x-1)/(x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A279111 7.29737 [-x^2*(x^4-x^3+3*x^2+5*x+4)/(x+1)^3/(x-1)^5 ogf] A279112 4.07820 [x^2*(x^9-8*x^8+x^7+36*x^6+17*x^5-102*x^4-93*x^3-76*x^2-14*x-2)/(x+1)^4/(x-1)^7 ogf] A279118 11.1225 [(10*x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A279118 6.38716 [(11011*f(x)+1310)*(100*f(x)*x^4-101*f(x)*x^2-10*x^2+f(x)-1) ogf] A279118 7.58946 [-(-2000*x^5-400*x^3+222*x)/(-1000*x^6+910*x^4+91*x^2-1) lgdogf] A279128 4.63599 [(9*x^8+x^7-22*x^6-17*x^5+30*x^4+9*x^3-16*x^2+5*x-1)/(x-1)^2/(x^2+x-1)^3 ogf] A279152 6.31112 [2*x^2*(6*x^3-x^2+2*x-2)/(2*x-1)/(2*x^3+x-1)^2 ogf] A279162 3.55349 [-(96*x^9-48*x^8+44*x^7-40*x^6-10*x^5+20*x^4-23*x^3+19*x^2-7*x+1)/(2*x-1)^2/(2*x^3+x-1)^3 ogf] A279169 9.39341 [-x^2*(x+1)*(3*x^2-2*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A279193 10.5520 [(10*x^3-4*x^2+x+1)/(x-1)/(10*x^2-1) ogf] A279193 5.62772 [{a(n+4)-a(n+3)-10*a(n+2)+10*a(n+1),a(0)=1,a(1)=2,a(2)=8,a(3)=28} ogf] A279193 6.84452 [-(60*x^4+40*x^3-14*x^2-12*x-2)/(100*x^6-140*x^5+40*x^4+14*x^3-15*x^2+1) lgdogf] A279193 7.59743 [10*f(x)*x^3-10*f(x)*x^2-10*x^3-f(x)*x+4*x^2+f(x)-x-1 ogf] A279204 8.40160 [-(7200000*x^9-7398000*x^8-739980*x^7-71010*x^6+123*x-1234)/(x-1)^2 ogf] A279214 7.08607 [(f(x)-x-1)^2 ogf] A279215 15.6242 [-(x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279216 14.4412 [-(2*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279217 15.1102 [-(3*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279218 15.5563 [-(4*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279219 14.9044 [-(5*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279230 12.4156 [-(-8*x^2+10*x-4)/(-2*x^3+4*x^2-3*x+1) lgdogf] A279230 16.4696 [1/(2*x^2-2*x+1)/(x-1)^2 ogf] A279230 4.03506 [{(n+4)*a(n+4)+(-13-3*n)*a(n+3)+(18+4*n)*a(n+2)+(-10-2*n)*a(n+1),a(0)=1,a(1)=4,a(2)=9,a(3)=14} ogf] A279230 6.78162 [(32*f(x)+49)*(2*f(x)*x^4-6*f(x)*x^3+7*f(x)*x^2-4*f(x)*x+f(x)-1) ogf] A279231 11.5107 [-(-12*x^2+15*x-5)/(-3*x^3+6*x^2-4*x+1) lgdogf] A279231 15.1941 [1/(3*x^2-3*x+1)/(x-1)^2 ogf] A279231 3.77963 [{(n+4)*a(n+4)+(-17-4*n)*a(n+3)+(27+6*n)*a(n+2)+(-15-3*n)*a(n+1),a(0)=1,a(1)=5,a(2)=15,a(3)=34} ogf] A279231 6.33088 [(27*f(x)+22)*(3*f(x)*x^4-9*f(x)*x^3+10*f(x)*x^2-5*f(x)*x+f(x)-1) ogf] A279241 4.58315 [(11656*f(x)-103805901)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1763*x^2-f(x)-3356*x+1601) ogf] A279241 4.99980 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1601,a(1)=1447,a(2)=1301} ogf] A279241 8.64251 [-(1763*x^2-3356*x+1601)/(x-1)^3 ogf] A279245 12.0737 [-(2*x^3+2*x^2+2*x+1)/(4*x^4+2*x^2-1) ogf] A279245 7.40369 [{a(n+4)-2*a(n+2)-4*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=6} ogf] A279245 7.7702 [(4*f(x)-1)*(4*f(x)*x^4+2*f(x)*x^2+2*x^3+2*x^2-f(x)+2*x+1) ogf] A279259 4.06888 [(8*x^14+10*x^12-89*x^11-153*x^10-1777*x^9-4173*x^8-2445*x^7-9489*x^6-9563*x^5-2427*x^4-4243*x^3-1735*x^2-159*x-53)/(x-1)^5/(x^2+x+1)^5 ogf] A279260 12.7839 [-(-24*x^2+12*x+3)/(-8*x^3+6*x^2+3*x-1) lgdogf] A279260 18.7497 [6*x/(x-1)/(2*x+1)/(4*x-1) ogf] A279260 7.53335 [{-a(n+3)+3*a(n+2)+6*a(n+1)-8*a(n),a(0)=0,a(1)=6,a(2)=18} ogf] A279260 8.19159 [-(f(x)+2)*(8*f(x)*x^3-6*f(x)*x^2-3*f(x)*x+f(x)-6*x) ogf] A279261 10.4426 [-(-4*x^3-7*x^2-4*x-3)/(x^4+x^3-x-1) ogf_with_Euler_transform] A279262 7.53025 [-(-9*x^4-x^3+8*x^2+5*x-5)/(-3*x^5-x^4+8*x^3-x^2-5*x+2) lgdogf] A279262 8.92474 [2*x*(x+1)*(3*x-2)/(x-1)/(x^2+x-1)^2 ogf] A279263 5.63391 [(2*x^8-4*x^7+5*x^6-8*x^5+6*x^3-3*x^2+2*x+2)/(x^3+2*x-1)^2 ogf] A279269 11.7659 [-(3*x^2-2*x+1)/(x-1)/(5*x^2-8*x+1) ogf] A279269 6.23492 [(5137*f(x)-637)*(5*f(x)*x^3-13*f(x)*x^2+9*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A279269 6.39899 [{a(n+3)-9*a(n+2)+13*a(n+1)-5*a(n),a(0)=1,a(1)=7,a(2)=53} ogf] A279269 6.94748 [-(15*x^4-20*x^3+14*x^2-20*x+7)/(15*x^5-49*x^4+58*x^3-34*x^2+11*x-1) lgdogf] A279270 9.81523 [-(-4*x^5-4*x^4-x^3-4*x^2-x-4)/(x^6-1) ogf_with_Euler_transform] A279270 99.9999 Evaluated at exp(-Pi) 1/32*exp(2/3*Pi)*Pi^(3/2)*3^(1/2)*GAMMA(11/12)^8*GAMMA(7/12)^7*(3^(1/2)-1)/GAMMA(2/3)/GAMMA(3/4)^19 A279275 3.63762 [(110066572839940134057*f(x)-2701716282480965)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x-f(x)+25*x+500) ogf] A279275 3.99054 [{a(n+3)-1443*a(n+2)+1443*a(n+1)-a(n),a(0)=500,a(1)=721525,a(2)=1040439075} ogf] A279275 8.62471 [-25*(x+20)/(x-1)/(x^2-1442*x+1) ogf] A279277 11.8100 [-(x^2-x-1)/(x^4+3*x^3-x^2-3*x+1) ogf] A279277 5.94807 [-(500*f(x)-133)*(f(x)*x^4+3*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)-x-1) ogf] A279277 8.06819 [-(-2*x^5+10*x^3+5*x^2-4)/(-x^6-2*x^5+5*x^4+5*x^3-5*x^2-2*x+1) lgdogf] A279283 8.14525 [-(-4*x^4+16*x^3-24*x^2+8*x-8)/(-x^5+5*x^4-10*x^3+11*x^2-6*x+1) lgdogf] A279284 6.36343 [-x*(2*x+1)*(x^3-7*x^2+x-1)*(x-1)^3/(x^3-x^2+4*x-1)^3 ogf] A279285 12.5528 [-x*(x^2+2*x-1)/(x^4+6*x^3+5*x^2-6*x+1) ogf] A279285 7.83209 [-(-2*x^5-12*x^4-20*x^3+2*x^2+12*x-4)/(-x^6-8*x^5-16*x^4+2*x^3+16*x^2-8*x+1) lgdogf] A279285 8.25546 [f(x)*x^4+6*f(x)*x^3+5*f(x)*x^2+x^3-6*f(x)*x+2*x^2+f(x)-x ogf] A279289 7.82595 [-(x^20-x^19+x^15-x^14+x^10-x^9+x^5+3*x-5)/(x-1)^2 ogf] A279300 5.27821 [x*(x^2+2*x-1)*(4*x^4+4*x^3+2*x^2-4*x+1)/(2*x^2+2*x-1)^3 ogf] A279312 5.50734 [{-a(n+4)+2*a(n+2)+4*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8} ogf] A279312 6.27718 [f(x)*(4*f(x)*x^4+2*f(x)*x^2+4*x^3+2*x^2-f(x)+2*x+1) ogf] A279312 8.98120 [-(2*x+1)*(2*x^2+1)/(4*x^4+2*x^2-1) ogf] A279313 24.8788 [x^13-2*x^6+2 ogf_with_Euler_transform] A279313 7.71475 [-x*(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A279316 19.4516 [x^6-x^3-x^2+2 ogf_with_Euler_transform] A279316 9.37149 [-x*(x+1)*(x^2+1)*(x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A279318 8.72586 [(2*x^6-x^5+5*x^4-x^3-x^2-x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A279319 25.0269 [x^15-2*x^7+2 ogf_with_Euler_transform] A279319 7.16938 [-x*(x+1)*(x^4+1)*(x^2+1)/(x-1)/(x^8+1) ogf] A279321 9.62359 [-(x^3+2*x^2+x+1)*(x^3+x^2+2*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A279322 6.00397 [f(x)*(4*f(x)*x^4+8*f(x)*x^3+2*x^4+4*x^3-4*f(x)*x-2*x^2+f(x)) ogf] A279322 8.22765 [-(-4*x^3-12*x^2+2*x+2)/(-2*x^4-6*x^3-x^2+4*x-1) lgdogf] A279322 9.65855 [-2*x^2*(x^2+2*x-1)/(2*x^2+2*x-1)^2 ogf] A279328 14.6056 [-(x^3+x^2+2*x+1)/(x^4-1) ogf_with_Euler_transform] A279328 99.9999 Evaluated at exp(-Pi) exp(1/24*Pi)/Pi^(1/4)*GAMMA(3/4) A279358 8.66238 [exp(x)*x^3+6*exp(x)*x^2+7*exp(x)*x+exp(x) lgdegf] A279361 10.0913 [1/2*exp(x)*x^2+2*exp(x)*x+exp(x) lgdegf] A279362 5.53221 [-(-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+x^4-2*x^3+2*x^2-2*x+2)/(x^10-1) ogf_with_Euler_transform] A279365 5.42534 [-(-2*x^9-4*x^8-2*x^7-4*x^6-2*x^5-3*x^4-2*x^3-4*x^2-2*x-4)/(x^10-1) ogf_with_Euler_transform] A279378 7.75492 [-(x^2+1)*(x+1)/(x^5+3*x^4+2*x^3+x^2+2*x-1) ogf] A279411 12.3531 [-(-4*x^2-4*x-4)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A279437 6.90235 [2*x*(x^4-x^3-33*x^2-25*x-2)/(x-1)^7 ogf] A279437 8.64611 [-(3*x^4-168*x^2-216*x-39)/(x^5-2*x^4-32*x^3+8*x^2+23*x+2) lgdogf] A279438 5.03995 [x*(2*x^6+57*x^5-99*x^4-904*x^3-654*x^2-81*x-1)/(x-1)^9 ogf] A279439 3.61741 [-9*x^2*(x^7-11*x^6-165*x^5+335*x^4+1755*x^3+1239*x^2+201*x+5)/(x-1)^11 ogf] A279447 4.48201 [x*(x^8+x^7-4*x^6-55*x^5-62*x^4-79*x^3-30*x^2-11*x-1)/(x+1)^4/(x-1)^7 ogf] A279460 4.57023 [-2*x*(x+1)*(x^6+x^5+x^4+3*x^3-2*x^2+2*x-1)/(x^5+3*x^4+2*x^3+x^2+2*x-1)^2 ogf] A279483 7.53881 [-8*x^3*(4*x^3+11*x^2+2*x+1)/(x+1)^4/(x-1)^5 ogf] A279483 9.46047 [-(-24*x^4-81*x^3-39*x^2-33*x-3)/(-4*x^5-11*x^4+2*x^3+10*x^2+2*x+1) lgdogf] A279485 19.1842 [-x^15-1 ogf_with_Euler_transform] A279487 13.0813 [-(2*x^15-2*x^14+x-2)/(x-1)^2 ogf] A279498 6.32455 [-(1000*x^10-990*x^6-10*x^4-100*x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(100*x^2+1) ogf] A279499 6.20292 [-(10000000*x^10+99000*x^6-1000*x^4-x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(x^2+1) ogf] A279500 8.50544 [-(8*x^10-6*x^6-2*x^4-4*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A279501 8.36762 [-(128*x^10+24*x^6-8*x^4-x^2-1)/(x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A279511 11.6854 [-(28*x^2-26*x+5)/(x-1)/(2*x-1)/(5*x-1) ogf] A279511 5.93402 [-(4147*f(x)-3315888)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x+28*x^2-f(x)-26*x+5) ogf] A279511 6.54788 [{-a(n+3)+8*a(n+2)-17*a(n+1)+10*a(n),a(0)=5,a(1)=14,a(2)=55} ogf] A279511 6.66275 [-(-280*x^4+520*x^3-368*x^2+114*x-14)/(-280*x^5+736*x^4-716*x^3+321*x^2-66*x+5) lgdogf] A279512 10.5571 [-(34*x^2-35*x+6)/(x-1)/(6*x-1)/(2*x-1) ogf] A279512 5.90355 [-(87170*f(x)+640221)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x+34*x^2-f(x)-35*x+6) ogf] A279512 5.91561 [{-a(n+3)+9*a(n+2)-20*a(n+1)+12*a(n),a(0)=6,a(1)=19,a(2)=85} ogf] A279523 4.25709 [-2*x*(x-1)*(4*x^3-11*x^2+x+2)/(4*x^4-11*x^3+6*x-1)^2 ogf] A279538 4.95487 [(17235369*f(x)-787766372129)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+3403*x^3-4*f(x)*x-9053*x^2+f(x)+8049*x-2393) ogf] A279538 9.29735 [-(3403*x^3-9053*x^2+8049*x-2393)/(x-1)^4 ogf] A279539 6.78218 [x*(x^35+x^34-x^27-x^22-x^21-x^19-x^6-x-1)/(x^34-x^21-1)/(x-1)^2 ogf] A279553 8.52372 [-f(x)^3-2*f(x)^2*x+4*f(x)^2+f(x)*x-4*f(x)+1 ogf] A279557 4.32437 [{(4*n^2+18*n+20)*a(n+1)+(-5*n^2-24*n-25)*a(n+2)+(n^2+6*n+5)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A279557 5.38279 [f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-4*x+1 ogf] A279561 4.14757 [{(4*n^2+14*n+12)*a(n+1)+(-5*n^2-18*n-15)*a(n+2)+(n^2+4*n+3)*a(n+3),a(0)=1,a(1)=1,a(2)=2} ogf] A279561 5.63563 [-4*f(x)^2*x^3+9*f(x)^2*x^2-6*f(x)^2*x-4*f(x)*x^2+f(x)^2+5*f(x)*x-x^2-f(x) ogf] A279561 7.85391 [(-1/(4*x-1)^(1/2)/(x-1)*(2*x^2+2*x-1)-I)/(4*x-1)^(1/2)/x lgdogf] A279565 10.6242 [-f(x)^3*x-f(x)^3+4*f(x)^2-4*f(x)+1 ogf] A279574 4.43893 [-(236*f(x)-87)*(16*f(x)*x^4-64*f(x)*x^3+72*f(x)*x^2-16*f(x)*x+24*x^2+f(x)-4*x) ogf] A279574 8.68761 [-(-72*x^2+64*x-10)/(-24*x^3+52*x^2-14*x+1) lgdogf] A279574 8.68761 [-4*x*(6*x-1)/(4*x^2-8*x+1)^2 ogf] A279575 3.70953 [2*(64*x^4-176*x^3+144*x^2-22*x+1)*(2*x-1)^2/(16*x^3-36*x^2+22*x-1)^2 ogf] A279581 3.91109 [-4*x*(x-1)*(x^2-3*x+1)*(4*x^2+x+1)/(4*x^4-11*x^3+6*x-1)^2 ogf] A279592 7.37383 [(x^6+x^5+x^4+x^3+x^2+x+1)*(x-1)^2/(x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1) ogf] A279619 3.33261 [{(-27*n^2-81*n-60)*a(n+1)+(-26*n^2-117*n-132)*a(n+2)+(n^2+6*n+9)*a(n+3),a(0)=1,a(1)=2,a(2)=22} ogf] A279634 11.6368 [-(4*x^2+5*x+3)/(-2*x^3-x^2+2*x+1) lgdogf] A279634 14.0520 [(x+1)*(x-1)^2/(2*x+1) ogf] A279634 7.75789 [{-a(n+4)-2*a(n+3),a(0)=1,a(1)=-3,a(2)=5,a(3)=-9} ogf] A279634 8.46314 [-(61*f(x)+3)*(-x^3+2*f(x)*x+x^2+f(x)+x-1) ogf] A279637 6.85938 [exp(x)*x^4+10*exp(x)*x^3+25*exp(x)*x^2+15*exp(x)*x+exp(x) lgdegf] A279640 6.83475 [exp(x)*(x^7+28*x^6+266*x^5+1050*x^4+1701*x^3+966*x^2+127*x+1) lgdegf] A279651 4.48266 [(32*x^6-192*x^5+264*x^4-436*x^3+156*x^2-21*x+1)/(4*x^2-8*x+1)^3 ogf] A279662 6.37436 [{(-4*n^3-27*n^2-59*n-42)*a(n+1)+6*a(n+2),a(0)=1,a(1)=1} ogf] A279663 6.60757 [{(-5*n^3-33*n^2-70*n-48)*a(n+1)+6*a(n+2),a(0)=1,a(1)=1} ogf] A279673 12.6664 [-(4*x^2+x+1)/(4*x^3-x^2+2*x-1) ogf] A279673 6.89864 [{-a(n+3)+2*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A279673 6.96078 [(5*f(x)+4)*(4*f(x)*x^3-f(x)*x^2+2*f(x)*x+4*x^2-f(x)+x+1) ogf] A279673 8.49064 [-(16*x^4+8*x^3+3*x^2+6*x+3)/(16*x^5+11*x^3-3*x^2+x-1) lgdogf] A279674 15.2362 [-(x+1)/(4*x^3-x^2+2*x-1) ogf] A279674 7.20997 [{a(n+3)-2*a(n+2)+a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A279674 7.83997 [(9*f(x)+4)*(4*f(x)*x^3-f(x)*x^2+2*f(x)*x-f(x)+x+1) ogf] A279674 9.96935 [-(8*x^3+11*x^2-2*x+3)/(4*x^4+3*x^3+x^2+x-1) lgdogf] A279675 12.0235 [(x^2+x+1)*(x-1)^2/(2*x^2+x+1) ogf] A279675 5.86747 [{a(n+5)+a(n+4)+2*a(n+3),a(0)=1,a(1)=-2,a(2)=0,a(3)=3,a(4)=-2} ogf] A279675 6.98509 [(187*f(x)+120)*(-x^4+2*f(x)*x^2+x^3+f(x)*x+f(x)+x-1) ogf] A279675 7.63994 [-(4*x^4+5*x^3+7*x^2+6*x+2)/(-2*x^5-x^4-x^3+2*x^2+x+1) lgdogf] A279676 11.9483 [(x^2+x+1)*(x-1)^2/(2*x^2+2*x+1) ogf] A279676 5.78449 [{a(n+5)+2*a(n+4)+2*a(n+3),a(0)=1,a(1)=-3,a(2)=4,a(3)=-3,a(4)=-1} ogf] A279676 7.00813 [(316*f(x)+55)*(-x^4+2*f(x)*x^2+x^3+2*f(x)*x+f(x)+x-1) ogf] A279676 7.59215 [-(-4*x^4-8*x^3-8*x^2-7*x-3)/(2*x^5+2*x^4+x^3-2*x^2-2*x-1) lgdogf] A279677 10.5373 [(x^2+1)*(x+1)*(x-1)^2/(2*x^3+x^2+x+1) ogf] A279677 4.66072 [{-a(n+4)-a(n+3)-a(n+2)-2*a(n+1),a(0)=1,a(1)=-2,a(2)=1,a(3)=-1,a(4)=3,a(5)=-3} ogf] A279678 10.7783 [(x^2+1)*(x+1)*(x-1)^2/(2*x^3+2*x^2+2*x+1) ogf] A279678 4.76733 [{-a(n+4)-2*a(n+3)-2*a(n+2)-2*a(n+1),a(0)=1,a(1)=-3,a(2)=4,a(3)=-4,a(4)=5,a(5)=-9} ogf] A279682 8.48060 [-(6*x^3-x^2-1)/(x+1)/(2*x-1)/(4*x^3-x^2+2*x-1) ogf] A279683 3.47732 [{(2*n+4)*a(n+1)+(-5*n-13)*a(n+2)+(4*n+13)*a(n+3)+(-n-4)*a(n+4),a(0)=0,a(1)=0,a(2)=1/2,a(3)=3/2} egf] A279684 8.68144 [-(4*x^4-2*x^3+3*x^2-1)/(x+1)/(2*x-1)/(4*x^3-x^2+2*x-1) ogf] A279685 5.82405 [-(4*x^9+7*x^8-4*x^7-4*x^6+2*x^5-6*x^4+5*x^3-3*x^2+2*x-1)/(x-1)/(4*x^3-x^2+2*x-1) ogf] A279704 10.3156 [-(x-1)^2/(2*x^3-5*x^2+5*x-1) ogf] A279704 5.56862 [{a(n+3)-5*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A279704 5.56863 [(39*f(x)-19)*(2*f(x)*x^3-5*f(x)*x^2+5*f(x)*x+x^2-f(x)-2*x+1) ogf] A279704 7.76857 [-(-2*x^3+6*x^2-5*x+3)/(-2*x^4+7*x^3-10*x^2+6*x-1) lgdogf] A279705 3.56750 [(x^8-11*x^7+40*x^6-82*x^5+105*x^4-85*x^3+48*x^2-16*x+2)/(x^8-9*x^7+32*x^6-64*x^5+78*x^4-61*x^3+33*x^2-10*x+1) ogf] A279710 6.04658 [-(5*x^6+8*x^4-3*x^3-4*x^2+7*x-4)/(x-1)/(x+1)/(x^3+x^2-x+1)/(x^3+2*x-1) ogf] A279735 10.1372 [-2*x*(2*x-1)/(x^2-3*x+1)^2 ogf] A279735 10.2932 [-(-6*x^2+10*x-4)/(-2*x^3+7*x^2-5*x+1) lgdogf] A279735 3.37907 [{(-3-n)*a(n+4)+(14+5*n)*a(n+3)+(-17-7*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=2,a(2)=8,a(3)=26} ogf] A279735 5.14658 [-(5*f(x)-2)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+4*x^2+f(x)-2*x) ogf] A279736 5.01184 [(2*x-1)*(x-1)*(4*x^4-13*x^3+17*x^2-8*x+2)/(2*x^3-5*x^2+5*x-1)^2 ogf] A279742 9.08589 [2*x*(2*x^3+x^2-1)/(x-1)/(x^2+x-1)^2 ogf] A279758 11.0590 [(x^48+x^36+x^24+x^12+2)/(x-1)/(2*x^48+x^12-2) ogf] A279760 18.7370 [1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x^4+1)/(x-1)^2 ogf] A279761 14.6667 [-(x^2+2*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279762 14.3964 [-(6*x^2+8*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279763 13.2762 [-(10*x^2+16*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A279766 8.05715 [x*(2*x^10+x^9+1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A279778 9.24660 [(x^4+x^3+x^2+x+1)*(x-1)^2/(2*x^4+x^3+x^2+x+1) ogf] A279779 9.40148 [(x^4+x^3+x^2+x+1)*(x-1)^2/(2*x^4+x^3+2*x^2+x+1) ogf] A279780 9.41936 [(x^4+x^3+x^2+x+1)*(x-1)^2/(x+1)/(2*x^3+x+1) ogf] A279781 9.64025 [(x^4+x^3+x^2+x+1)*(x-1)^2/(2*x^4+2*x^3+2*x^2+2*x+1) ogf] A279840 55.6592 [exp(x^2) lgdegf] A279851 6.83641 [-(-30*x^4+7*x^3+19*x^2+x-5)/(-10*x^5+3*x^4+15*x^3-5*x^2-5*x+2) lgdogf] A279851 9.23839 [2*x*(5*x^2+x-2)/(x-1)/(x+1)^2/(2*x-1)^2 ogf] A279852 5.40027 [(16*x^8+12*x^6-36*x^5+x^4-8*x^3+13*x^2+2*x+2)/(2*x^3+x^2+2*x-1)^2 ogf] A279865 11.4842 [-(-6*x^2+12*x)/(-2*x^3+x^2+2*x-1) lgdogf] A279865 3.59248 [{(n+3)*a(n+4)+(-4-2*n)*a(n+3)+(-13-n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=0,a(3)=6} ogf] A279865 7.07610 [x*(x-1)^3/(x+1)^3/(2*x-1)^3 ogf] A279866 4.48272 [(80*x^8+44*x^7-94*x^6-92*x^5+56*x^4+39*x^3-17*x^2+x-1)/(x-1)^2/(x+1)^3/(2*x-1)^3 ogf] A279872 13.2582 [(2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A279872 7.47534 [(765*f(x)+1636)*(4*f(x)*x^4-5*f(x)*x^2-2*x^2+f(x)-1) ogf] A279872 9.36909 [-(-16*x^5-16*x^3+14*x)/(-8*x^6+6*x^4+3*x^2-1) lgdogf] A279875 5.46096 [(16*x^14-16*x^12-x^10+2*x^9-3*x^8+6*x^7+4*x^6-5*x^4+6*x^3+4*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A279876 5.12712 [(1024*x^14-256*x^12-1024*x^10+256*x^9+192*x^8-48*x^7+16*x^6-20*x^4+6*x^3+x^2+2*x+1)/(x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A279877 6.32458 [-(1000*x^8-1110*x^6+111*x^4-10*x^3-101*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A279878 5.99057 [-(100000*x^8-111000*x^6+11100*x^4-100*x^3-101*x^2+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A279879 7.98779 [-(8*x^8-14*x^6+7*x^4-2*x^3-5*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A279880 7.82961 [-(32*x^8-56*x^6+28*x^4-4*x^3-5*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A279890 13.2821 [-x*(x^4-2*x^3+x-1)/(x-1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A279895 15.8653 [x*(3*x-8)/(x-1)^3 ogf] A279895 18.0864 [-(-6*x+21)/(-3*x^2+11*x-8) lgdogf] A279895 7.93263 [(1525*f(x)-11739)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+8*x) ogf] A279895 8.07429 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=8,a(2)=21} ogf] A279896 7.88360 [2*x*(2*x^2-1)*(2*x^3+4*x^2+x-2)/(x+1)^2/(2*x-1)^2 ogf] A279897 6.63568 [(12*x^6+8*x^5+8*x^4-8*x^3-9*x^2+2*x+2)/(x+1)^2/(2*x-1)^2 ogf] A279905 4.41854 [{(n^2+3*n)*a(n)+(-4+2*n)*a(n+1)+(-n^2+3*n-2)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=16,a(4)=72} ogf] A279905 7.52002 [-8*x^3*(5*x^2+5*x+2)/(x+1)^3/(x-1)^5 ogf] A279905 9.42267 [-(30*x^3+45*x^2+36*x+9)/(5*x^4+5*x^3-3*x^2-5*x-2) lgdogf] A279918 8.90517 [-(-4*x^5-x^4-x^3-5*x-1)/(x^6-x^4+x^2-1) ogf_with_Euler_transform] A279918 99.9999 Evaluated at exp(-Pi) 1/8*2^(1/8)*GAMMA(5/8)^4*(3+2*2^(1/2))*(2+2^(1/2))^(1/2)*exp(-1/8*Pi)/Pi/GAMMA(7/8)^4 A279932 13.4301 [-(-5*x^2-5*x-5)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A279946 5.41985 [-(x^4+10395*x^3+64258*x^2+10395*x+1)/(x-1)/(x^2+502*x+1)/(x^2-502*x+1) ogf] A279947 4.06410 [-(-2*x^9+x^8+x^7-3*x^6-x^5+2*x^4-x^3-3*x^2+3*x-1)/(x^10-x^9+x^8-x^2+x-1) ogf_with_Euler_transform] A279955 8.02278 [-(4*x^7+2*x^6+2*x^5+2*x^4+8*x^3+2*x^2+2*x+2)/(-x^8+1) ogf_with_Euler_transform] A279955 99.9999 Evaluated at exp(-Pi) -1/8*exp(-1/4*Pi)*2^(3/4)/Pi/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))/(2^(1/2)-2) A279959 6.74432 [-(10100*x^6-1000*x^5+799*x^4-90*x^3+91*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A279960 6.81392 [-(10100*x^6-100*x^5-10190*x^4+90*x^3+91*x^2-x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A279961 9.15226 [-(20*x^6-8*x^5-x^4-2*x^3+3*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A279962 8.68027 [-(20*x^6-4*x^5-22*x^4+2*x^3+3*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A279971 6.29899 [-(2*x-1)*(3*x^3+4*x^2-4*x+1)/(x^2-3*x+1)^3 ogf] A279972 3.27094 [-x*(16*x^8-124*x^7+438*x^6-888*x^5+1096*x^4-819*x^3+356*x^2-85*x+9)/(2*x^3-5*x^2+5*x-1)^3 ogf] A279978 4.74504 [x*(5*x^8-2*x^7-12*x^6-5*x^5+20*x^4-11*x^3+6*x-3)/(x-1)^2/(x^2+x-1)^3 ogf] A280014 14.4937 [2*(x+2)*(x^3+x^2+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A280056 4.49039 [{(n^3+3*n^2+2*n)*a(n)+(2*n^2-2*n-4)*a(n+1)+(-n^3+3*n^2-2*n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=8,a(4)=48} ogf] A280056 7.85818 [-8*x^3*(3*x+1)*(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A280056 8.80116 [-(15*x^4+30*x^3+45*x^2+24*x+6)/(3*x^5+4*x^4+x^3-3*x^2-4*x-1) lgdogf] A280057 12.4472 [-x^9+2*x^5+x^4-x^3-2*x^2+2*x-1 ogf_with_Euler_transform] A280057 8.00466 [(x^2+1)*(x^4-x^3+x^2-x+1)/(x+1)^2/(x^2-x+1)^2 ogf] A280058 14.6480 [12*x^3/(x-1)^4 ogf] A280058 28.2496 [4/(-x+1) lgdogf] A280058 6.27770 [{(-1+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=12} ogf] A280058 60.4408 [[4] ogf_with_Euler_transform] A280058 7.90991 [-f(x)*x^4+4*f(x)*x^3-6*f(x)*x^2+12*x^3+4*f(x)*x-f(x) ogf] A280059 4.21153 [-(11274336*f(x)+398488943)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-51*x^2+f(x)-41*x-1) ogf] A280059 7.56161 [-(3*x^3+111*x^2+225*x+45)/(3*x^4+48*x^3-10*x^2-40*x-1) lgdogf] A280059 8.42306 [(3*x^3+51*x^2+41*x+1)/(x-1)^4 ogf] A280064 4.89195 [-(x+1)*(x^7+x^6-2*x^5+8*x^4-4*x^3+2*x-1)/(x^2-x+1)/(x^5+3*x^4+4*x^3-4*x^2-2*x+1) ogf] A280070 11.4039 [-(x^2-8*x+1)/(x-1)/(x^2-18*x+1) ogf] A280070 6.03734 [(55241*f(x)-156)*(f(x)*x^3-19*f(x)*x^2+19*f(x)*x+x^2-f(x)-8*x+1) ogf] A280070 6.14054 [{-a(n+3)+19*a(n+2)-19*a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=191} ogf] A280070 6.71442 [-(-x^4+16*x^3-136*x^2+36*x-11)/(-x^5+27*x^4-172*x^3+172*x^2-27*x+1) lgdogf] A280071 10.3227 [-(x^2-9*x+1)/(x-1)/(x^2-20*x+1) ogf] A280071 5.46499 [(51327*f(x)-119)*(f(x)*x^3-21*f(x)*x^2+21*f(x)*x+x^2-f(x)-9*x+1) ogf] A280071 5.55840 [{-a(n+3)+21*a(n+2)-21*a(n+1)+a(n),a(0)=1,a(1)=12,a(2)=232} ogf] A280071 6.07788 [-(-x^4+18*x^3-171*x^2+40*x-12)/(-x^5+30*x^4-211*x^3+211*x^2-30*x+1) lgdogf] A280072 11.6131 [(10*x-1)/(x-1)/(x^2-20*x+1) ogf] A280072 5.28727 [-(67199121*f(x)+3342239)*(f(x)*x^3-21*f(x)*x^2+21*f(x)*x-f(x)-10*x+1) ogf] A280072 5.55840 [{a(n+3)-21*a(n+2)+21*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=210} ogf] A280072 7.14652 [-(20*x^3-213*x^2+42*x-11)/(10*x^4-211*x^3+231*x^2-31*x+1) lgdogf] A280089 11.5140 [(25*x^2-2*x+1)/(x-1)^4 ogf] A280089 11.8527 [-(-50*x^2-44*x-2)/(-25*x^3+27*x^2-3*x+1) lgdogf] A280089 3.95090 [{(n+4)*a(n+4)+(-11-3*n)*a(n+3)+(10+27*n)*a(n+2)+(-75-25*n)*a(n+1),a(0)=1,a(1)=2,a(2)=27,a(3)=100} ogf] A280089 5.7162 [-(5664*f(x)+53615)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-25*x^2+f(x)+2*x-1) ogf] A280111 10.8902 [(2*x^2-19*x-1)/(x-1)/(x^2-38*x+1) ogf] A280111 5.32039 [-(81039960*f(x)+2004037)*(f(x)*x^3-39*f(x)*x^2+39*f(x)*x-2*x^2-f(x)+19*x+1) ogf] A280111 5.90653 [{-a(n+3)+39*a(n+2)-39*a(n+1)+a(n),a(0)=1,a(1)=58,a(2)=2221} ogf] A280111 6.51374 [-(2*x^4-38*x^3+660*x^2+82*x-58)/(2*x^5-97*x^4+818*x^3-704*x^2-20*x+1) lgdogf] A280112 10.5803 [-(x^2-20*x+1)/(x-1)/(x^2-38*x+1) ogf] A280112 5.69024 [(13329*f(x)+28)*(f(x)*x^3-39*f(x)*x^2+39*f(x)*x+x^2-f(x)-20*x+1) ogf] A280112 5.78750 [{-a(n+3)+39*a(n+2)-39*a(n+1)+a(n),a(0)=1,a(1)=19,a(2)=703} ogf] A280112 6.32838 [-(-x^4+40*x^3-744*x^2+76*x-19)/(-x^5+59*x^4-820*x^3+820*x^2-59*x+1) lgdogf] A280113 4.1001 [(1215210928039*f(x)-1155388056)*(f(x)*x^3-1443*f(x)*x^2+1443*f(x)*x+x^2-f(x)+268*x+1) ogf] A280113 4.51980 [{a(n+3)-1443*a(n+2)+1443*a(n+1)-a(n),a(0)=1,a(1)=1711,a(2)=2467531} ogf] A280113 8.31904 [-(x^2+268*x+1)/(x-1)/(x^2-1442*x+1) ogf] A280118 6.20912 [4*x*(8*x^6+8*x^5-2*x^4-8*x^3-4*x^2+1)/(4*x^3+4*x^2+x-1)^2 ogf] A280135 5.70820 [(x^20-x^19+2*x^18-2*x^17+2*x^16-x^15-x^14+14*x^13-11*x^12-x^11-x^10+291*x^9-277*x^8-15*x^7+2*x-4)/(x-1) ogf] A280154 10.2748 [(4*f(x)-39)*(f(x)*x^2+f(x)*x-f(x)-5*x+10) ogf] A280154 10.7700 [{-a(n+2)+a(n+1)+a(n),a(0)=10,a(1)=5} ogf] A280154 13.9673 [-(-x^2+4*x+1)/(-x^3+x^2+3*x-2) lgdogf] A280154 19.4328 [5*(x-2)/(x^2+x-1) ogf] A280155 6.06301 [2*x*(x^6+2*x^5-x^4-6*x^3-5*x^2+2)/(x^3+2*x^2+x-1)^2 ogf] A280166 17.5292 [-x^5-x^3+x^2+4*x-1 ogf_with_Euler_transform] A280166 6.38694 [-(8*f(x)+5)*(f(x)*x^4-x^4-2*f(x)*x^2+x^3-2*x^2+f(x)+x-1) ogf] A280166 9.88664 [(x^2+1)*(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A280167 21.4998 [-x^9+x^4+3*x-1 ogf_with_Euler_transform] A280167 6.19492 [-(34*f(x)+65)*(f(x)*x^4-x^4-2*f(x)*x^2+x^3-x^2+f(x)+x-1) ogf] A280167 8.90519 [-(-x^4+6*x^3-6*x^2+6*x-1)/(x^6-x^5+x-1) lgdogf] A280167 9.75911 [(x^4-x^3+x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A280173 13.0116 [-(5*x^2-5*x-1)/(x-1)/(2*x-1)/(x+1) ogf] A280173 6.8423 [(483*f(x)+1717)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+5*x^2+f(x)-5*x-1) ogf] A280173 7.02396 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=7,a(2)=10} ogf] A280173 7.85850 [-(-10*x^4+20*x^3-9*x^2+8*x-7)/(-10*x^5+15*x^4+7*x^3-16*x^2+3*x+1) lgdogf] A280174 3.41518 [(x^13+3*x^12-5*x^11-43*x^10-69*x^9-6*x^8+85*x^7+59*x^6-24*x^5-35*x^4+4*x^3+4*x^2-2*x+1)/(x-1)/(x^3+2*x^2+x-1)^3 ogf] A280181 10.2704 [-(x^2-18*x+1)/(x-1)/(x^2-34*x+1) ogf] A280181 5.57039 [(9512*f(x)+25)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)-18*x+1) ogf] A280181 5.61799 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=1,a(1)=17,a(2)=561} ogf] A280181 6.14304 [-(-x^4+36*x^3-598*x^2+68*x-17)/(-x^5+53*x^4-666*x^3+666*x^2-53*x+1) lgdogf] A280186 11.7361 [2*x^4/(x+1)^2/(x-1)^4 ogf] A280186 18.4043 [-(-6*x-2)/(-x^2+1) lgdogf] A280186 38.3622 [[2+2*x] ogf_with_Euler_transform] A280186 5.25836 [{(n+3)*a(n+1)+2*a(n+2)+(-n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A280193 10.3215 [-(x^2-4*x+1)/(-x^4+x^3-x+1) lgdogf] A280193 13.4811 [-(x^2-x+1)/(x-1)/(x+1) ogf] A280193 19.9552 [-x^5+x^2+2*x-1 ogf_with_Euler_transform] A280193 7.86400 [{a(n+3)-a(n+1),a(0)=1,a(1)=-1,a(2)=2} ogf] A280193 8.80768 [(4*f(x)-3)*(f(x)*x^2+x^2-f(x)-x+1) ogf] A280227 8.41524 [2*x*(x-1)*(x+1)*(x^3+2*x^2+x-2)/(x^2+x-1)^2 ogf] A280228 7.08763 [(3*x^6+2*x^5+2*x^4-4*x^3-5*x^2+2*x+2)/(x^2+x-1)^2 ogf] A280237 13.6493 [-x^9+x^7+x^4-x^2+x ogf_with_Euler_transform] A280237 8.92586 [-x*(x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A280261 10.3870 [-x*(x^2+x-1)/(x^4-x^2+1) ogf] A280261 6.53203 [(2*f(x)+1)*(f(x)*x^4-f(x)*x^2+x^3+x^2+f(x)-x) ogf] A280279 3.85528 [{(-2*n-6)*a(n+1)+(-2*n-4)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=8} ogf] A280279 8.18652 [-(-4*x-2)/(-4*x^6-12*x^5-6*x^4+8*x^3+2*x^2-4*x+1) lgdogf] A280279 8.61179 [x^2*(2*x^4+4*x^3-2*x+1)/(2*x^2+2*x-1)^2 ogf] A280293 12.9493 [(x^2-5*x+3)/(x-1)/(2*x-1)/(x+1) ogf] A280293 6.52814 [-(1425*f(x)+1061)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-x^2+f(x)+5*x-3) ogf] A280293 7.05272 [{-a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=3,a(1)=1,a(2)=6} ogf] A280293 7.89905 [-(-2*x^4+20*x^3-25*x^2+8*x+1)/(-2*x^5+11*x^4-9*x^3-8*x^2+11*x-3) lgdogf] A280304 15.8845 [6*x*(x^2-2*x+4)/(x-1)^4 ogf] A280304 18.3283 [-(-2*x^2+4*x-14)/(-x^3+3*x^2-6*x+4) lgdogf] A280304 5.92706 [{(12+4*n)*a(n+4)+(-26-6*n)*a(n+3)+(7+3*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=24,a(2)=84,a(3)=198} ogf] A280304 8.44924 [-(3*f(x)-107)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-6*x^3-4*f(x)*x+12*x^2+f(x)-24*x) ogf] A280308 10.1220 [-(-2*x^4+2*x^3+12*x^2+2*x+4)/(-2*x^5-x^4+2*x^3+6*x^2+2*x-3) lgdogf] A280308 16.0956 [(x+1)*(2*x-3)/(x^3+x^2+x-1) ogf] A280308 8.39175 [(1264*f(x)-3447)*(f(x)*x^3+f(x)*x^2+f(x)*x-2*x^2-f(x)+x+3) ogf] A280308 8.76638 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=5} ogf] A280309 5.08871 [x^3*(4*x^6+12*x^5+6*x^4-8*x^3-3*x^2+4*x-1)/(2*x^2+2*x-1)^3 ogf] A280321 12.1019 [(3*x^4-9*x^3+8*x^2-9*x-1)/(x-1)^3 ogf] A280321 6.95405 [(1486*f(x)-90153)*(f(x)*x^3-3*x^4-3*f(x)*x^2+9*x^3+3*f(x)*x-8*x^2-f(x)+9*x+1) ogf] A280321 9.13573 [-(3*x^4-12*x^3+19*x^2+2*x+12)/(-3*x^5+12*x^4-17*x^3+17*x^2-8*x-1) lgdogf] A280328 7.94822 [-(-4*x^4+x^3-5*x^2-x-3)/(x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A280339 8.02278 [-(4*x^7-2*x^6+4*x^5-2*x^4+8*x^3-2*x^2+4*x-2)/(-x^8+1) ogf_with_Euler_transform] A280339 99.9999 Evaluated at exp(-Pi) -1/4*exp(-1/4*Pi)/Pi/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))/(2^(1/2)-2) A280344 14.0593 [-2*x*(x^2-3*x+6)/(x-1)^3 ogf] A280344 14.2756 [-(-x^2+4*x-15)/(-x^3+4*x^2-9*x+6) lgdogf] A280344 6.92472 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=12,a(2)=30,a(3)=56} ogf] A280344 7.30638 [-(8696*f(x)-40761)*(f(x)*x^3-3*f(x)*x^2+2*x^3+3*f(x)*x-6*x^2-f(x)+12*x) ogf] A280345 13.0116 [-(5*x^2-x-3)/(x-1)/(2*x-1)/(x+1) ogf] A280345 6.55956 [-(1401*f(x)+5159)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+5*x^2+f(x)-x-3) ogf] A280345 7.02396 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=3,a(1)=7,a(2)=12} ogf] A280345 7.93708 [-(10*x^4-4*x^3-7*x^2-4*x+7)/(10*x^5-7*x^4-15*x^3+10*x^2+5*x-3) lgdogf] A280364 8.35957 [-(3*x^5-3*x^4+80*x^2+77*x+35)/(3*x^6-3*x^5-6*x^4+26*x^3+15*x^2-23*x-12) lgdogf] A280364 9.37285 [-x*(3*x^4-3*x^3-3*x^2+23*x+12)/(x+1)^2/(x-1)^3 ogf] A280367 8.05952 [(10100*x^5-1000*x^4+899*x^3-90*x^2+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A280368 7.46399 [(1010*x^5-10*x^4-1009*x^3+9*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A280369 9.99929 [(20*x^5-8*x^4+3*x^3-2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A280370 9.88561 [(10*x^5-2*x^4-9*x^3+x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A280372 6.25888 [(100000000*x^12-100000000*x^8-1000000*x^7-10000*x^6-100*x^5-x^3-101*x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A280373 7.96957 [(16*x^12-x^8-2*x^7-4*x^6-8*x^5-8*x^3-5*x^2-2*x-1)/(2*x-1)/(2*x+1)/(4*x^2+1) ogf] A280374 7.73905 [(256*x^12-256*x^8-64*x^7-16*x^6-4*x^5-x^3-5*x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A280384 99.9999 Evaluated at exp(-Pi) 3/16*3^(1/2)*GAMMA(2/3)^2*GAMMA(11/12)^3*GAMMA(7/12)^5*(2+3^(1/2))*exp(-1/6*Pi)/GAMMA(3/4)^12 A280392 4.96662 [-f(x)*(16*f(x)*x^4-40*f(x)*x^3+33*f(x)*x^2-10*f(x)*x+6*x^2+f(x)-2*x) ogf] A280392 8.99749 [-2*x*(3*x-1)/(4*x-1)^2/(x-1)^2 ogf] A280392 9.12981 [-(-36*x^2+31*x-7)/(-12*x^3+19*x^2-8*x+1) lgdogf] A280393 4.20677 [2*(2*x-1)*(128*x^5-248*x^4+198*x^3-74*x^2+13*x-1)/(16*x^3-20*x^2+9*x-1)^2 ogf] A280399 5.34637 [f(x)*(4*f(x)*x^4+4*f(x)*x^3+2*x^4-3*f(x)*x^2+2*x^3-2*f(x)*x-2*x^2+f(x)) ogf] A280399 8.62102 [-(-4*x^3-6*x^2+5*x+1)/(-2*x^4-3*x^3+2*x^2+2*x-1) lgdogf] A280399 8.95691 [-2*x^2*(x^2+x-1)/(x+1)^2/(2*x-1)^2 ogf] A280400 9.64340 [2*x*(3*x^3+2*x^2-1)/(x-1)/(x+1)^2/(2*x-1)^2 ogf] A280410 10.0657 [(100*x^3-100*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A280410 5.95887 [(220000000*f(x)-60150699)*(100*f(x)*x^4-101*f(x)*x^2-100*x^3+100*x^2+f(x)-10*x-1) ogf] A280411 5.66143 [-(22*f(x)+93058929)*(100*f(x)*x^4-101*f(x)*x^2-10*x^3+x^2+f(x)-x-1) ogf] A280411 9.54354 [(10*x^3-x^2+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A280412 12.6724 [(4*x^3-4*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A280412 7.77078 [(768*f(x)+1013)*(4*f(x)*x^4-5*f(x)*x^2-4*x^3+4*x^2+f(x)-2*x-1) ogf] A280425 5.00472 [{(-n+2)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=120} ogf] A280428 10.6397 [1729*(x^2+4*x+1)/(x-1)^4 ogf] A280428 12.7676 [-(2*x^2+14*x+8)/(x^3+3*x^2-3*x-1) lgdogf] A280428 3.89621 [{(n+4)*a(n+4)+(1+3*n)*a(n+3)+(-20-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=1729,a(1)=13832,a(2)=46683,a(3)=110656} ogf] A280428 5.76314 [(23*f(x)+122759)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-1729*x^2+f(x)-6916*x-1729) ogf] A280429 5.50697 [-(2*x^9-2*x^8-2*x^7-6*x^6+3*x^5+3*x^4+3*x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2/(2*x^3-1)^2 ogf] A280435 7.06226 [(x^5-x^4+8*x^3+8*x^2-7*x-1)/(x-1)/(x^2+x-1)^2 ogf] A280436 6.55596 [2*(2*x^6+2*x^5+9*x^4-2*x^3-15*x^2+6*x+1)/(x-1)^2/(x^2+x-1)^2 ogf] A280437 6.25673 [(7*x^6+14*x^5+37*x^4-8*x^3-55*x^2+18*x+5)/(x-1)^2/(x^2+x-1)^2 ogf] A280438 6.24431 [2*(6*x^6+18*x^5+36*x^4-10*x^3-48*x^2+14*x+5)/(x-1)^2/(x^2+x-1)^2 ogf] A280439 5.90763 [(19*x^6+74*x^5+134*x^4-38*x^3-164*x^2+40*x+20)/(x-1)^2/(x^2+x-1)^2 ogf] A280446 2.92706 [-2*(162611*x^4+5180*x^3+29240*x^2+3442*x+2924)/(10*x^3-1) ogf] A280454 19.5174 [-(-x^5+x-1)/(-x^10+1) ogf_with_Euler_transform] A280456 17.8712 [-(x^6-x+1)/(x^12-1) ogf_with_Euler_transform] A280457 15.6654 [-(-x^7+x-1)/(-x^14+1) ogf_with_Euler_transform] A280474 5.41616 [-(3*x-1)*(12*x^3+9*x^2-6*x+1)/(4*x-1)^3/(x-1)^3 ogf] A280481 4.25019 [x*(40*x^8+16*x^7-16*x^6-13*x^5-17*x^4-19*x^3+23*x^2+8*x-6)/(x-1)^2/(x+1)^3/(2*x-1)^3 ogf] A280523 4.56347 [-(49*f(x)+54)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2+x^3-5*f(x)*x-3*x^2+f(x)+2*x-1) ogf] A280523 8.47501 [-(x^3-3*x^2+2*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A280549 4.52858 [-x*(8*x^8-25*x^7-33*x^6+47*x^5+63*x^4-27*x^3-43*x^2+5*x+9)/(x-1)^2/(x^2+x-1)^3 ogf] A280550 3.98372 [-(36*x^10-39*x^9-46*x^8+134*x^7+57*x^6-142*x^5-86*x^4+79*x^3+48*x^2-28*x-1)/(x-1)^3/(x^2+x-1)^3 ogf] A280551 3.64791 [(2*x^11-76*x^10+25*x^9+64*x^8-209*x^7-84*x^6+193*x^5+213*x^4-84*x^3-173*x^2+75*x+2)/(x-1)^3/(x^2+x-1)^3 ogf] A280552 3.52114 [(4*x^11-142*x^10-45*x^9+22*x^8-314*x^7-83*x^6+260*x^5+440*x^4-56*x^3-422*x^2+158*x+6)/(x-1)^3/(x^2+x-1)^3 ogf] A280553 3.34603 [(6*x^11-238*x^10-205*x^9-148*x^8-480*x^7-79*x^6+341*x^5+930*x^4+21*x^3-928*x^2+322*x+13)/(x-1)^3/(x^2+x-1)^3 ogf] A280556 3.40270 [{(-2*n^2-14*n-24)*a(n+1)+(n^2+6*n)*a(n+2)+(n^2+9*n+27)*a(n+3)+(-3-n)*a(n+4),a(0)=0,a(1)=2,a(2)=26,a(3)=242} ogf] A280560 14.6795 [f(x)*x+f(x)+x-1 ogf] A280560 17.8534 [-(x-1)/(x+1) ogf] A280560 20.6430 [2/(x^2-1) lgdogf] A280560 31.3582 [[-2+x] ogf_with_Euler_transform] A280560 9.17467 [{-a(n+2)-a(n+1),a(0)=1,a(1)=-2} ogf] A280569 16.0615 [x^9-x^5-x^4+x-1 ogf_with_Euler_transform] A280569 9.04899 [-(x-1)*(x^2+x+1)*(x^2-x+1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A280598 5.88850 [-(2*x^5+3*x^4-x^3+x^2-x-2)/(x-1)/(x^5+3*x^4+2*x^3+x^2+2*x-1) ogf] A280599 5.39791 [(3*x^7-5*x^6-2*x^5+10*x^4+2*x^3-15*x^2+2*x+4)/(2*x^3+3*x^2+x-1)/(x-1)^3 ogf] A280600 3.70121 [-(x^12-10*x^11+10*x^10+25*x^9-21*x^8+10*x^7+36*x^6+3*x^5+18*x^4-38*x^3+52*x^2-18*x-8)/(x^2+x+1)/(x^5+x^4-x^3+x^2+2*x-1)/(x-1)^3 ogf] A280606 7.42559 [-(100*x^6+9*x^4-10*x^3+11*x^2-10*x-1)/(10*x-1)/(10*x+1)/(x-1) ogf] A280607 7.03080 [-(10000*x^6-9000*x^4-100*x^3+110*x^2-x-1)/(x-1)/(10*x-1)/(x+1) ogf] A280608 9.45894 [-(4*x^6+x^4-2*x^3+3*x^2-2*x-1)/(2*x-1)/(2*x+1)/(x-1) ogf] A280610 9.18494 [-(16*x^6-8*x^4-4*x^3+6*x^2-x-1)/(x-1)/(2*x-1)/(x+1) ogf] A280658 8.17202 [x*(81*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A280666 9.91037 [-(5*x^5+6*x^4+6*x^3+6*x^2+6*x+6)/(-x^6+1) ogf_with_Euler_transform] A280666 99.9999 Evaluated at exp(-Pi) 1/32*Pi^(5/4)*2^(5/6)/GAMMA(3/4)^2/GAMMA(11/12)^(3/2)/GAMMA(7/12)^(3/2)*(2^(1/2)*(3^(1/2)-1))^(3/2)*(2^(1/2)*(1+3^(1/2)))^(5/3) A280668 10.6082 [-(3*x+4)/(8*x^2+14*x-1) ogf] A280668 5.48287 [(890*f(x)-79)*(8*f(x)*x^2+14*f(x)*x-f(x)+3*x+4) ogf] A280668 5.80924 [{a(n+2)-14*a(n+1)-8*a(n),a(0)=4,a(1)=59} ogf] A280668 6.97109 [-(-24*x^2-64*x-59)/(-24*x^3-74*x^2-53*x+4) lgdogf] A280669 5.58714 [(18*x^4-155*x^3-81*x^2+19*x+11)/(81*x^4+27*x^3-44*x^2-29*x+1) ogf] A280674 5.96965 [(x-1)*(2*x^2-1)*(x^2-3*x-2)/(x+1)/(4*x^4-11*x^3+6*x-1) ogf] A280699 9.69415 [-(2*x^9+x^8+x^7+3*x^6+2*x^4-2*x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^2-1) ogf] A280724 15.9527 [(x^27+x^9+x^3+1)/(x-1)^2 ogf] A280731 10.8328 [(8*x^6-x^4-9*x^3-3*x^2-2*x-1)/(3*x^2-1)/(3*x^2+1) ogf] A280756 16.5440 [(2*x+1)/(x^4-4*x^2-x+1) ogf] A280756 7.97119 [-(85*f(x)-167)*(f(x)*x^4-4*f(x)*x^2-f(x)*x+f(x)-2*x-1) ogf] A280756 9.13367 [-(-6*x^4-4*x^3+8*x^2+8*x+3)/(-2*x^5-x^4+8*x^3+6*x^2-x-1) lgdogf] A280757 14.5103 [(x+2)*x/(x^4-x^3-4*x^2+1) ogf] A280757 7.69678 [-(463*f(x)-512)*(f(x)*x^4-f(x)*x^3-4*f(x)*x^2-x^2+f(x)-2*x) ogf] A280757 9.03193 [-(-3*x^4-6*x^3+10*x^2+16*x+1)/(-x^5-x^4+6*x^3+8*x^2-x-2) lgdogf] A280758 13.4411 [(x^2+x+1)/(x^4-x^3-3*x^2-x+1) ogf] A280758 7.1341 [(10*f(x)+3)*(f(x)*x^4-f(x)*x^3-3*f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A280758 9.27433 [-(2*x^5+2*x^4+2*x^3-5*x^2-8*x-2)/(x^6-3*x^4-5*x^3-3*x^2+1) lgdogf] A280761 13.5616 [8*(x+1)/(x^2-34*x+1) ogf] A280761 7.00935 [(297*f(x)+74)*(f(x)*x^2-34*f(x)*x+f(x)-8*x-8) ogf] A280761 7.33921 [{-a(n+2)+34*a(n+1)-a(n),a(0)=8,a(1)=280} ogf] A280761 9.31094 [-(x^2+2*x-35)/(x^3-33*x^2-33*x+1) lgdogf] A280811 8.80400 [-x*(4*x^27-x^26+4*x^17-6*x^15+6*x^9-6*x^4+x^2-2*x+7)/(x-1) ogf] A280822 7.48428 [-(-6*x^4+2*x^3-5*x^2+x-4)/(x^5-x^4+x^3-x^2+x-1) ogf_with_Euler_transform] A280822 99.9999 Evaluated at exp(-Pi) 9/2048*exp(5/6*Pi)*3^(1/2)*GAMMA(2/3)^5*GAMMA(11/12)^7*GAMMA(7/12)^12*(2+3^(1/2))/Pi/GAMMA(3/4)^25 A280853 4.23741 [(-744291+9711680*f(x))*(8*f(x)*x^4-8*f(x)*x^3-4*x^4+2*f(x)*x^2+4*x^3-4*f(x)*x+3*x^2+f(x)-x-2) ogf] A280853 7.77687 [(x-1)*(4*x^3-3*x-2)/(8*x^4-8*x^3+2*x^2-4*x+1) ogf] A280854 5.16848 [(12*x^8-16*x^7-4*x^6+11*x^5-48*x^4-12*x^3-12*x^2+21*x+4)/(2*x^7-2*x^6+x^4-4*x^3-2*x+1) ogf] A280860 7.23345 [-(-x^11+x^10-x^8+x^7+x^6-x^5+x^4+x^3-x^2+1)/(x^12-1) ogf_with_Euler_transform] A280863 7.50406 [-(x^32+x^24-x^16-x^8-1)/(x^33-x^32-x^25-x^24-2*x^17+x^16-2*x^9+x^8-x+1) ogf] A280865 12.8394 [-(x^28-x^27-x^26+x^2-1)/(-x^28-x^2+1) ogf_with_Euler_transform] A280865 18.9609 [-(27*x^26+1)/(x^27+x-1) lgdogf] A280865 30.6721 [-1/(x^27+x-1) ogf] A280874 12.3976 [-(-2*x^4-x^3-2*x^2-x-2)/(-x^6+1) ogf_with_Euler_transform] A280874 99.9999 Evaluated at exp(-Pi) 1/6*exp(1/4*Pi)*2^(11/12)*3^(5/8)/(2^(1/2)*(1+3^(1/2)))^(1/6) A280891 10.9297 [f(x)^2*x^3+3*f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1 ogf] A280891 4.08716 [{(-4*n^2-14*n-12)*a(n+1)+(-7*n^2-47*n-74)*a(n+2)+(-2*n^2-22*n-64)*a(n+3)+(n^2+11*n+28)*a(n+4),a(0)=1,a(1)=4,a(2)=12,a(3)=37} ogf] A280896 4.33425 [x*(32*x^6-192*x^5+408*x^4-380*x^3+112*x^2-15*x+1)/(4*x^2-8*x+1)^3 ogf] A280897 3.46574 [-2*x*(256*x^6+1344*x^5+2416*x^4+1764*x^3+570*x^2+113*x+5)/(8*x^2+14*x-1)^3 ogf] A280908 11.8832 [-(-2*x^6-2*x^4-x^3-2*x^2-2)/(-x^8+1) ogf_with_Euler_transform] A280908 99.9999 Evaluated at exp(-Pi) exp(1/4*Pi)*2^(3/16)/(2^(1/2)*(2-2^(1/2))^(1/2))^(1/2)/(2^(1/2)*(2+2^(1/2))^(1/2))^(1/2)/(2+2^(1/2))^(1/4) A280920 4.61875 [{(-n+3)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=720} ogf] A280931 11.3347 [-(-14*x^2-34*x-31)/(-14*x^3-31*x^2-3*x+17) lgdogf] A280931 16.8815 [-2*(14*x+17)/(x^2+x-1) ogf] A280931 8.8159 [(65*f(x)-288)*(f(x)*x^2+f(x)*x-f(x)+28*x+34) ogf] A280931 9.44561 [{a(n+2)-a(n+1)-a(n),a(0)=34,a(1)=62} ogf] A280932 10.7323 [-(-41*x^2-112*x-97)/(-41*x^3-97*x^2-15*x+56) lgdogf] A280932 16.4410 [-(41*x+56)/(x^2+x-1) ogf] A280932 8.39922 [(209*f(x)-2295)*(f(x)*x^2+f(x)*x-f(x)+41*x+56) ogf] A280932 9.19915 [{a(n+2)-a(n+1)-a(n),a(0)=56,a(1)=97} ogf] A280939 19.7815 [-1/2*ln(x^2+1)+arcsinh(x) revegf] A280948 99.9999 Evaluated at exp(-Pi) 2*exp(1/8*Pi)*2^(23/24)/GAMMA(3/4)^3*GAMMA(11/12)^(3/2)*GAMMA(7/12)^(3/2)/(2^(1/2)*(3^(1/2)-1))^(3/2)/(2^(1/2)*(1+3^(1/2)))^(4/3) A280955 4.55642 [{-a(n+4)+4*a(n+3)+4*a(n+2)+a(n+1),a(0)=2,a(1)=9,a(2)=42,a(3)=205} ogf] A280955 4.96062 [(367*f(x)+1210)*(f(x)*x^3+4*f(x)*x^2-x^3+4*f(x)*x-2*x^2-f(x)+x+2) ogf] A280955 8.91474 [(x-1)*(x+2)*(x+1)/(x^3+4*x^2+4*x-1) ogf] A281005 5.78216 [-(x^25+x^22-x^21+x^19-x^18+x^16-x^15+x^13-x^12+x^10+x^8+2*x^7-2*x^6-x^5-x^4-2*x^3-2*x^2-2*x-3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A281026 10.3998 [-(-3*x^4-4*x^3-5*x^2-2*x-4)/(-x^5-x^3+x^2+1) lgdogf] A281026 10.7850 [-(x^2+x+1)*x/(x^2+1)/(x-1)^3 ogf] A281026 26.3483 [x^3-x^2-x+4 ogf_with_Euler_transform] A281028 5.21770 [2*x^2*(2*x^3-1)^2/(4*x^5+2*x^4-2*x^3-x^2-3*x+1)^2 ogf] A281050 6.54783 [-(-12*x^4+20*x^3-18*x^2+14*x-6)/(-4*x^5+17*x^4-22*x^3+15*x^2-6*x+1) lgdogf] A281050 6.74427 [-x*(4*x^3-5*x^2+3*x-1)/(x^2-3*x+1)^3 ogf] A281051 7.47238 [-2*x*(2*x+1)*(x+3)*(2*x^2+4*x+1)/(x+1)/(2*x-1)^3 ogf] A281057 3.71079 [x*(x^12-2*x^11-8*x^10+13*x^9+31*x^8-14*x^7-43*x^6-18*x^5+29*x^4+22*x^3-11*x^2-x-1)/(x-1)^2/(x^2+x-1)^3 ogf] A281064 10.5156 [-4*(x-1)*(x^2+5*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A281064 6.27247 [(142120*f(x)-110303)*(f(x)*x^4-18*f(x)*x^2+4*x^3+16*x^2+f(x)-16*x-4) ogf] A281074 3.58033 [2*x^2*(x^8+x^7-4*x^6-x^4-9*x^3+7*x^2-6*x+3)/(x-1)^2/(x^5+3*x^4+2*x^3+x^2+2*x-1)^2 ogf] A281098 5.28021 [-x*(x^10-x^9+4*x^8-5*x^7+3*x^6-6*x^5-3*x^4-5*x^3-4*x^2-x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A281124 5.78760 [-2*x*(x+1)*(3*x^3+5*x^2-5*x-1)/(x^3+4*x^2+4*x-1)^2 ogf] A281133 4.90984 [-8*x^2*(4*x-3)*(x-1)^2/(8*x^4-8*x^3+2*x^2-4*x+1)^2 ogf] A281146 10.1160 [(100*x^4-x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A281146 4.47439 [{a(n+4)-10*a(n+3)-a(n+2)+10*a(n+1),a(0)=1,a(1)=10,a(2)=100,a(3)=1000,a(4)=10100} ogf] A281146 6.28834 [f(x)*(10*f(x)*x^3-100*x^4-f(x)*x^2-10*f(x)*x+x^2+f(x)-1) ogf] A281151 23.8217 [[x^4-x^3-x+4] ogf_with_Euler_transform] A281151 9.12942 [-x*(x^2+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A281156 8.43359 [-(x^5+5*x^4+9*x^3+10*x^2+4*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A281157 7.63878 [-(x^6+5*x^5+15*x^4+18*x^3+15*x^2+5*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A281166 12.9493 [-(3*x^2-2*x+1)/(2*x-1)/(x^2-x+1) ogf] A281166 6.75132 [-(39*f(x)-31)*(2*f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-2*x+1) ogf] A281166 7.05272 [{a(n+3)-3*a(n+2)+3*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=3} ogf] A281166 8.31479 [-(-6*x^4+8*x^3-3*x^2-1)/(-6*x^5+13*x^4-17*x^3+12*x^2-5*x+1) lgdogf] A281199 10.1816 [-(-3*x^2+7*x-5)/(-x^3+4*x^2-4*x+1) lgdogf] A281199 3.27447 [{(-3-n)*a(n+4)+(13+4*n)*a(n+3)+(-11-4*n)*a(n+2)+(n+3)*a(n+1),a(0)=0,a(1)=2,a(2)=10,a(3)=38} ogf] A281199 5.13086 [(13*f(x)-2)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x+2*x^2+f(x)-2*x) ogf] A281199 9.87303 [-2*x*(x-1)/(x^2-3*x+1)^2 ogf] A281200 11.9168 [-(28*x+14)/(8*x^3+16*x^2-8*x-1) lgdogf] A281200 13.0203 [(4*x^2+10*x+1)/(2*x-1)^2 ogf] A281200 6.76052 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=14,a(2)=56} ogf] A281200 9.76521 [-4*f(x)*x^2+4*f(x)*x+4*x^2-f(x)+10*x+1 ogf] A281201 5.05911 [2*(x+1)*(2*x^6-9*x^4-8*x^3+7*x^2+11*x+1)/(x^4-2*x^2-x+1)^2 ogf] A281202 5.40302 [(4*x^7+12*x^6+2*x^5-25*x^4-26*x^3-12*x^2+32*x+5)/(x-1)^2/(x^3+x^2+x-1)^2 ogf] A281204 3.44490 [(10*x^11+23*x^10+56*x^9+92*x^8+88*x^7+21*x^6-26*x^5-107*x^4-126*x^3-47*x^2+86*x+20)/(x^3+x^2-1)^2/(x^3-x^2+2*x-1)^2 ogf] A281206 6.88793 [-2*x*(2*x^5+3*x^4-6*x^3-6*x^2+4*x+1)/(x-1)/(x^2+x-1)^2 ogf] A281207 5.97039 [x*(5*x^6-11*x^5-38*x^4+32*x^3+60*x^2-26*x-10)/(x-1)/(x^2+x-1)^2 ogf] A281208 5.04139 [2*x*(x^8+13*x^7-17*x^6-55*x^5+94*x^4+69*x^3-125*x^2+8*x+19)/(x-1)^2/(x^2+x-1)^2 ogf] A281209 4.60162 [-x*(4*x^9-10*x^8-114*x^7+56*x^6+363*x^5-422*x^4-489*x^3+596*x^2+72*x-130)/(x-1)^2/(x^2+x-1)^2 ogf] A281210 4.13351 [-2*x*(3*x^10+6*x^9-36*x^8-180*x^7+39*x^6+525*x^5-376*x^4-785*x^3+606*x^2+280*x-210)/(x-1)^2/(x^2+x-1)^2 ogf] A281211 3.96262 [-x*(10*x^11+18*x^10-40*x^9-274*x^8-920*x^7+12*x^6+2793*x^5-830*x^4-4664*x^3+1916*x^2+2544*x-1308)/(x-1)^2/(x^2+x-1)^2 ogf] A281214 9.83106 [(10*x^3+11*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(x^2+1) ogf] A281215 9.61428 [(100*x^3+11*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(100*x^2+1) ogf] A281216 12.4236 [(2*x^3+3*x+1)/(x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A281217 11.6844 [(4*x^3+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A281231 7.82839 [1/6*exp(x)*x^3+3/2*exp(x)*x^2+3*exp(x)*x+exp(x) lgdegf] A281234 11.952 [-f(x)*x^2+6*f(x)*x-f(x)+48*x ogf] A281234 14.9400 [-(2*x-6)/(x^2-6*x+1) lgdogf] A281234 18.8716 [48*x/(x^2-6*x+1) ogf] A281234 8.74538 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=48} ogf] A281235 8.74137 [-4*(19*x^5+33*x^4+51*x^3-33*x^2-19*x-17)/(x^6-6*x^3+1) ogf] A281236 8.85085 [96*x*(3*x^4+10*x^3+17*x^2+10*x+3)/(x^6-6*x^3+1) ogf] A281237 11.3655 [-(-3*x^2+2*x-3)/(-3*x^3+19*x^2-9*x+1) lgdogf] A281237 15.7183 [-32*(3*x-1)/(x^2-6*x+1) ogf] A281237 7.85914 [-(35*f(x)-796)*(f(x)*x^2-6*f(x)*x+f(x)+96*x-32) ogf] A281237 8.79475 [{a(n+2)-6*a(n+1)+a(n),a(0)=32,a(1)=96} ogf] A281238 11.8287 [-f(x)*x^2+6*f(x)*x-f(x)+768*x ogf] A281238 15.0323 [-(2*x-6)/(x^2-6*x+1) lgdogf] A281238 18.5013 [768*x/(x^2-6*x+1) ogf] A281238 8.69339 [{a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=768} ogf] A281239 9.09888 [-2*(19*x^5+33*x^4+51*x^3-33*x^2-19*x-17)/(x^6-6*x^3+1) ogf] A281240 8.63983 [48*x*(3*x^4+10*x^3+17*x^2+10*x+3)/(x^6-6*x^3+1) ogf] A281241 8.30804 [-8*(19*x^5+33*x^4+51*x^3-33*x^2-19*x-17)/(x^6-6*x^3+1) ogf] A281242 8.49308 [192*x*(3*x^4+10*x^3+17*x^2+10*x+3)/(x^6-6*x^3+1) ogf] A281243 11.3826 [-(x^8-x^7+x^3)/(x^10-1) ogf_with_Euler_transform] A281244 9.93949 [-(-x^10+x^9-x^4)/(-x^12+1) ogf_with_Euler_transform] A281245 9.13142 [-(x^12-x^11+x^5)/(x^14-1) ogf_with_Euler_transform] A281258 14.0175 [-3*x*(3*x^6+2*x^3+1)/(x-1)/(x^6+x^3+1) ogf] A281262 4.07025 [{(16*n^2+64*n+60)*a(n+1)+(4*n^2+18*n+20)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=0,a(2)=6} ogf] A281271 11.5042 [-(x^7-x^5+x^2)/(x^10-1) ogf_with_Euler_transform] A281272 12.7655 [-(-x^6+x^3-x)/(-x^10+1) ogf_with_Euler_transform] A281320 3.02525 [{(n+3)*a(n+4)+(-34-10*n)*a(n+3)+(52+20*n)*a(n+2)+(-24-8*n)*a(n+1),a(0)=0,a(1)=2,a(2)=28,a(3)=304} ogf] A281320 4.45018 [-(5608*f(x)-271)*(16*f(x)*x^4-64*f(x)*x^3+72*f(x)*x^2-16*f(x)*x+4*x^2+f(x)-2*x) ogf] A281320 8.90036 [-(-24*x^2+32*x-14)/(-8*x^3+20*x^2-10*x+1) lgdogf] A281320 8.90036 [-2*x*(2*x-1)/(4*x^2-8*x+1)^2 ogf] A281321 2.77259 [-(-12874824094073+3148715053296*f(x))*(64*f(x)*x^4+224*f(x)*x^3-64*x^4+180*f(x)*x^2-200*x^3-28*f(x)*x-158*x^2+f(x)-18*x-1) ogf] A281321 5.31652 [(64*x^4+200*x^3+158*x^2+18*x+1)/(8*x^2+14*x-1)^2 ogf] A281333 10.4429 [-(x^4+x^3+x^2+1)/(x^2+x+1)/(x+1)/(x-1)^3 ogf] A281338 7.16460 [-(6*x^4+2*x^3+x^2-2*x-2)/(4*x^5+2*x^4-2*x^3-x^2-3*x+1) ogf] A281339 3.95862 [-(4*x^9+4*x^8+9*x^7+16*x^6-3*x^5+30*x^4+18*x^3-3*x^2+13*x+4)/(2*x^9+2*x^7+2*x^6-x^5+7*x^4-x^3-x^2+3*x-1) ogf] A281362 11.0124 [-(x^4-x^2+1)/(x+1)/(x^2+x-1)/(x-1)^2 ogf] A281366 10.2868 [(9*x^6-x^4-10*x^3-3*x^2-2*x-1)/(10*x^4-1) ogf] A281381 15.1378 [3*x*(x+3)/(x-1)^4 ogf] A281381 20.0808 [-(3*x+13)/(x^2+2*x-3) lgdogf] A281381 6.51629 [{(6+3*n)*a(n+3)+(-15-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=9,a(2)=39} ogf] A281381 7.23501 [(177920*f(x)+1042089)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-9*x) ogf] A281387 11.6736 [-(4*x^3+x^2-11*x-4)/(x^2+x-1)/(x^2-x-1) ogf] A281387 7.40824 [(20*f(x)-51)*(f(x)*x^4-3*f(x)*x^2+4*x^3+x^2+f(x)-11*x-4) ogf] A281390 4.94945 [-5*(199999999960828877*x^3-1980000000*x^2-1980000000*x-200000015998828877)/(x^2+x+1)/(x-1)^2 ogf] A281394 5.52580 [2*x^2*(x^2+3*x-3)*(x^2-x-1)/(2*x^4-x^2-3*x+1)^2 ogf] A281401 4.10574 [2*x^2*(2*x^3-2*x-1)*(12*x^4-2*x^3-16*x^2-4*x+5)/(2*x-1)/(2*x^4-3*x^2-x+1)^2 ogf] A281402 3.55426 [-x*(32*x^11+28*x^10-34*x^9+92*x^8-519*x^7+308*x^6-441*x^5+548*x^4-171*x^3+174*x^2-107*x-6)/(x-1)^2/(2*x^3+x-1)^2 ogf] A281433 7.59321 [-(x^5-x^4-x^2-x-1)/(-x^5+x^4+x^3-2*x^2+1) lgdegf] A281445 11.7972 [-(4*x^3+10*x^2+23*x+7)/(4*x^4+3*x^3-3*x-4) lgdogf] A281445 14.3114 [(4*x^2+3*x+4)/(x+1)/(x-1)^2 ogf] A281445 7.39826 [-(13*f(x)+335)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-3*x-4) ogf] A281445 7.72562 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=7,a(2)=15} ogf] A281454 7.78558 [1/6*exp(x)*x^4+13/6*exp(x)*x^3+15/2*exp(x)*x^2+7*exp(x)*x+exp(x) lgdegf] A281455 9.43719 [-(-x^11+x^9-x^4)/(-x^14+1) ogf_with_Euler_transform] A281456 9.58817 [-(-x^10+x^7-x^3)/(-x^14+1) ogf_with_Euler_transform] A281457 9.72788 [-(-x^9+x^5-x^2)/(-x^14+1) ogf_with_Euler_transform] A281458 10.6953 [-(x^8-x^3+x)/(x^14-1) ogf_with_Euler_transform] A281459 9.94504 [-(x^12-x^11+x^7+x^5-x+1)/(x^14-1) ogf_with_Euler_transform] A281460 9.56738 [-(x^11-x^9+x^8+x^4-x^3+x)/(x^14-1) ogf_with_Euler_transform] A281461 9.05396 [-(-x^10-x^9+x^7+x^5-x^3-x^2)/(-x^14+1) ogf_with_Euler_transform] A281464 5.34655 [(16*x^8-24*x^7+12*x^6+12*x^5-26*x^4-10*x^2+9*x+4)/(4*x^7-4*x^6+4*x^5+3*x^4-3*x^3-2*x+1) ogf] A281465 4.41824 [(41*x^9-10*x^8-90*x^7-50*x^6+59*x^5+84*x^4+12*x^3+6*x^2-29*x-8)/(x-1)/(3*x^7+3*x^6-2*x^5-6*x^4-5*x^3-x^2+1) ogf] A281470 6.93578 [-(8*x^5+2*x^4-10*x^3-9*x^2+2*x+2)/(2*x-1)/(2*x^4-3*x^2-x+1) ogf] A281471 6.52220 [(2*x^7-2*x^6+14*x^5-39*x^4+8*x^3-22*x^2+17*x+4)/(x-1)/(2*x^3+x-1) ogf] A281472 5.96328 [(4*x^8-8*x^7+23*x^6-40*x^5-83*x^4+49*x^3-94*x^2+65*x+8)/(x-1)/(x^2+1)/(x^2+x-1) ogf] A281473 4.52479 [(2*x^10+x^9-24*x^8+132*x^7-288*x^6+124*x^5-251*x^4+189*x^3-379*x^2+232*x+16)/(x-1)/(x^5+x^3+x-1) ogf] A281474 4.06617 [-(6*x^11-x^10+64*x^9-548*x^8+906*x^7+108*x^6-617*x^5+818*x^4-664*x^3+1399*x^2-793*x-32)/(x-1)/(x^6+x^3+x-1) ogf] A281481 11.7597 [-(11*x^2-10*x+2)/(x-1)/(2*x-1)/(4*x-1) ogf] A281481 6.32454 [-(2*f(x)-13)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+11*x^2-f(x)-10*x+2) ogf] A281481 6.60194 [{-a(n+3)+7*a(n+2)-14*a(n+1)+8*a(n),a(0)=2,a(1)=4,a(2)=11} ogf] A281481 6.84201 [-(88*x^4-160*x^3+111*x^2-34*x+4)/(88*x^5-234*x^4+233*x^3-109*x^2+24*x-2) lgdogf] A281482 11.7004 [-(4*x^2-10*x+3)/(x-1)/(2*x-1)/(4*x-1) ogf] A281482 6.30019 [(243*f(x)+142)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-10*x+3) ogf] A281482 6.40977 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=3,a(1)=11,a(2)=39} ogf] A281482 6.64076 [-(-32*x^4+160*x^3-184*x^2+76*x-11)/(-32*x^5+136*x^4-192*x^3+116*x^2-31*x+3) lgdogf] A281500 14.9097 [(4*x^2+3*x+2)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A281500 8.85263 [(127*f(x)+93)*(4*f(x)*x^4-5*f(x)*x^2-4*x^2+f(x)-3*x-2) ogf] A281503 10.4908 [-(x-1)*(x^2+4*x+1)/(x^4-46*x^2+1) ogf] A281503 6.23778 [(992640*f(x)+69299)*(f(x)*x^4-46*f(x)*x^2+x^3+3*x^2+f(x)-3*x-1) ogf] A281504 10.9550 [(x+1)*(5*x^2+12*x+5)/(x^4-46*x^2+1) ogf] A281504 6.36702 [-(162432*f(x)-87497)*(f(x)*x^4-46*f(x)*x^2-5*x^3-17*x^2+f(x)-17*x-5) ogf] A281546 10.3534 [(54*f(x)+733)*(f(x)*x^2-2*f(x)*x+f(x)-25*x-2) ogf] A281546 11.1019 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=29} ogf] A281546 17.7203 [-(-25*x-29)/(-25*x^2+23*x+2) lgdogf] A281546 20.0316 [(25*x+2)/(x-1)^2 ogf] A281548 2.70805 [f(x)^3*x^2+4*f(x)^2*x^2-f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A281557 3.38227 [x^2*(4*x^8+4*x^7-52*x^6+56*x^5+14*x^4-68*x^3+27*x^2-3*x+1)/(2*x^4-x^2-3*x+1)^3 ogf] A281581 4.26763 [(39924*f(x)-55991)*(240*f(x)*x^4-268*f(x)*x^3+104*f(x)*x^2+82*x^3-17*f(x)*x-57*x^2+f(x)+13*x-1) ogf] A281581 7.60325 [-(82*x^3-57*x^2+13*x-1)/(6*x-1)/(4*x-1)/(2*x-1)/(5*x-1) ogf] A281584 11.6371 [(2*x+1)*(x+2)*(x+1)/(x^4-8*x^2+1) ogf] A281584 7.06926 [-(140*f(x)+9)*(f(x)*x^4-8*f(x)*x^2-2*x^3-7*x^2+f(x)-7*x-2) ogf] A281593 11.7129 [-(-4*x^2+2*x-1)/(-8*x^3+14*x^2-7*x+1) lgdogf] A281593 3.78776 [{(n+4)*a(n+4)+(-22-7*n)*a(n+3)+(30+14*n)*a(n+2)+(-12-8*n)*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=11} ogf] A281593 8.18643 [-4*f(x)^2*x^3+9*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-4*x^2+4*x-1 ogf] A281600 5.82656 [-(48*x^5+28*x^4+26*x^3+34*x^2-x-4)/(40*x^5+64*x^4+26*x^3-10*x^2-7*x+1) ogf] A281647 10.4095 [2*(x+1)*(x^2+10*x+1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A281647 6.04999 [-(194805*f(x)+64717)*(f(x)*x^4-38*f(x)*x^2-2*x^3-22*x^2+f(x)-22*x-2) ogf] A281654 3.74672 [2*x*(64*x^7-192*x^6+256*x^5-208*x^4+100*x^3-40*x^2+19*x+2)/(8*x^4-8*x^3+2*x^2-4*x+1)^2 ogf] A281660 5.21307 [{(n^3+10*n^2+34*n+40)*a(n+1)+(-n^3-4*n^2-6*n-4)*a(n+3),a(0)=1,a(1)=2,a(2)=15} ogf] A281660 7.26960 [(5*x^2+1)*(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A281661 4.74856 [(35*x^10+130*x^9+861*x^8+832*x^7+2054*x^6+828*x^5+850*x^4+128*x^3+39*x^2+2*x+1)/(x-1)^6/(x+1)^6 ogf] A281683 22.5870 [-1/(x^2+2*x+1) ogf_with_Euler_transform] A281698 4.8254 [(16700*f(x)+69327)*(48*f(x)*x^4-92*f(x)*x^3+56*f(x)*x^2+122*x^3-13*f(x)*x-153*x^2+f(x)+51*x-5) ogf] A281698 8.64083 [-(122*x^3-153*x^2+51*x-5)/(x-1)/(6*x-1)/(4*x-1)/(2*x-1) ogf] A281699 13.5336 [-2*(32*x^2-24*x+7)/(x-1)/(2*x-1)/(4*x-1) ogf] A281699 6.92666 [-(10251*f(x)-72560)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+64*x^2-f(x)-48*x+14) ogf] A281699 7.51869 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=14,a(1)=50,a(2)=218} ogf] A281699 7.71655 [-(256*x^4-384*x^3+280*x^2-132*x+25)/(256*x^5-640*x^4+616*x^3-298*x^2+73*x-7) lgdogf] A281710 9.47281 [-(4*x^5+4*x^4+x^3+6*x^2-5*x-1)/(x-1)/(x^2+x-1) ogf] A281716 7.56955 [-(2*x^4+2*x^3-4*x^2-3*x+2)/(2*x-1)/(2*x^4-3*x^2-x+1) ogf] A281727 11.5891 [-(x-1)*(x^2+1)/(x+1)/(x^2-x+1) ogf] A281727 16.0615 [x^5-x^3-x^2+x-1 ogf_with_Euler_transform] A281727 6.88100 [{-a(n+4)-a(n+1),a(0)=1,a(1)=-1,a(2)=1,a(3)=-2} ogf] A281727 7.59282 [-(f(x)-2)*(f(x)*x^3+x^3-x^2+f(x)+x-1) ogf] A281733 11.0904 [-1+f(x)-32*f(x)^2*x+256*f(x)^3*x^2 ogf] A281733 23.7104 [x*(16*x-1)^2 revogf] A281733 5.33025 [{(216*n^2+864*n+840)*a(n+1)+(-2*n^2-11*n-15)*a(n+2),a(0)=1,a(1)=32} ogf] A281746 8.83226 [x*(3*x^6+2*x^5+x^4+3*x^3+x^2+2*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A281760 4.92748 [(8*x^10+8*x^9+6*x^8+36*x^7-26*x^6-32*x^5+49*x^4-38*x^3-x^2+6*x+2)/(x-1)^2/(x^2+x-1)^2 ogf] A281766 4.94499 [2*x*(x-1)*(x+1)*(6*x^4-x^3-8*x^2-x+2)/(2*x-1)/(2*x^4-3*x^2-x+1)^2 ogf] A281773 11.9314 [-x^2*(3*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A281773 5.64693 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=9} ogf] A281773 6.84953 [-f(x)*(6*f(x)*x^3-11*f(x)*x^2+3*x^3+6*f(x)*x+x^2-f(x)) ogf] A281773 8.70292 [-(-36*x^3+15*x^2+22*x-9)/(-18*x^4+27*x^3-7*x^2-3*x+1) lgdogf] A281774 7.42660 [-6*x^3*(10*x^2-3*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A281775 6.21449 [6*x^4*(150*x^2-59*x+9)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A281776 5.10328 [-x^3*(2100*x^4+448*x^3-235*x^2+26*x+1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A281777 4.22690 [-20*x^4*(1344*x^4-1100*x^3+181*x^2-4*x-1)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A281778 3.60883 [-6*x^4*(22680*x^5-10839*x^4+3570*x^3-265*x^2-30*x+4)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A281781 25.7654 [1/(x^2+2*x+1) ogf_with_Euler_transform] A281787 4.2487 [(585974323*f(x)-510769920)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1400*x^2-f(x)-235*x+23) ogf] A281787 4.64393 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=23,a(1)=2318,a(2)=233168} ogf] A281787 7.98756 [-(1400*x^2-235*x+23)/(x-1)/(100*x-1)/(10*x-1) ogf] A281791 7.28361 [(14*x^7+29*x^6+12*x^5-35*x^4-34*x^3+4*x^2+18*x+3)/(x^3+x^2-1)^2 ogf] A281813 10.7433 [-f(x)*x^2+2*f(x)*x-x^2-f(x)+6*x+3 ogf] A281813 13.3820 [-(4*x+12)/(-x^3+7*x^2-3*x-3) lgdogf] A281813 14.3920 [-(x^2-6*x-3)/(x-1)^2 ogf] A281813 7.33438 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=12,a(2)=20} ogf] A281831 10.8887 [-(x^2+2*x+2)/(2*x^3+3*x^2+3*x-1) ogf] A281831 5.87798 [{-a(n+3)+3*a(n+2)+3*a(n+1)+2*a(n),a(0)=2,a(1)=8,a(2)=31} ogf] A281831 5.87799 [(37*f(x)+31)*(2*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+x^2-f(x)+2*x+2) ogf] A281831 6.64212 [-(-2*x^4-8*x^3-15*x^2-14*x-8)/(-2*x^5-7*x^4-13*x^3-11*x^2-4*x+2) lgdogf] A281832 4.00129 [-(24*x^7+46*x^6+57*x^5+61*x^4+37*x^3+8*x^2-11*x-4)/(28*x^7+15*x^6+25*x^5+23*x^4-6*x^3-4*x^2-5*x+1) ogf] A281857 6.24993 [9*(33500*x^2-550*x+17)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A281858 3.86714 [(366617863337*f(x)+1819695139000)*(1000000*f(x)*x^3-111000*f(x)*x^2+1110*f(x)*x+1000000*x^2-f(x)-74000*x+370) ogf] A281858 4.38825 [{-a(n+3)+1110*a(n+2)-111000*a(n+1)+1000000*a(n),a(0)=370,a(1)=336700,a(2)=333667000} ogf] A281858 7.11199 [-10*(100000*x^2-7400*x+37)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A281859 5.33399 [-(2000000*x^3-1815000*x^2+112110*x-407)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A281860 5.38037 [-(2000000*x^3-1185000*x^2+75480*x-371)/(x-1)/(100*x-1)/(1000*x-1)/(10*x-1) ogf] A281861 7.04871 [5*f(x)^2*x^3-f(x)^2*x+4*f(x)*x^2+f(x)*x-f(x)+x ogf] A281862 13.5554 [3*x^5-x^3-3*x^2-2*x+3 ogf_with_Euler_transform] A281862 6.90100 [(x^2+1)*x/(x^2-x+1)^3 ogf] A281863 10.3329 [{a(n+2)-60*a(n),a(0)=1,a(1)=10} ogf] A281863 15.8598 [-(10*x+1)/(60*x^2-1) ogf] A281863 9.21585 [-(24*f(x)+1)*(60*f(x)*x^2-f(x)+10*x+1) ogf] A281863 9.34208 [-(600*x^2+120*x+10)/(600*x^3+60*x^2-10*x-1) lgdogf] A281873 47.1990 [[2] ogf_with_Euler_transform] A281899 14.0762 [x*(7*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A281899 5.61321 [{(3*n+7)*a(n+1)+3*a(n+2)+3*a(n+3)+(-3*n-4)*a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=9} ogf] A281899 7.49963 [-(66*f(x)+625)*(f(x)*x^4-f(x)*x^3-7*x^3-f(x)*x-x^2+f(x)-x) ogf] A281899 9.14954 [-(-14*x^4-10*x^3-12*x^2-16*x-2)/(-7*x^5-x^4-x^3+7*x^2+x+1) lgdogf] A281912 4.00018 [{(-n^2-7*n-12)*a(n+1)+(n^2+10*n+24)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=8,a(2)=57} ogf] A281912 9.44488 [-(x^3-6*x^2+9*x+8)/(-x^3+4*x^2-2*x-1) lgdegf] A281930 10.1443 [-(-12*x^2-12*x-6)/(-2*x^3-3*x^2-3*x+1) lgdogf] A281930 3.41595 [{(-2*n-10)*a(n+1)+(-3*n-12)*a(n+2)+(-3*n-9)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=6} ogf] A281930 9.29899 [x^2/(2*x^3+3*x^2+3*x-1)^2 ogf] A281946 3.27859 [{(-n^2-7*n-12)*a(n+1)+(-2*n^2-19*n-44)*a(n+2)+(3*n^2+41*n+144)*a(n+3)+(-3*n-12)*a(n+4),a(0)=1,a(1)=16,a(2)=195,a(3)=2248} ogf] A281946 8.30338 [-(2*x^4-15*x^3+20*x^2+67*x+16)/(-2*x^4+9*x^3+2*x^2-8*x-1) lgdegf] A281949 11.4298 [-2*(x^2+1)/(4*x^3-2*x^2+4*x-1) ogf] A281949 5.76549 [{a(n+3)-4*a(n+2)+2*a(n+1)-4*a(n),a(0)=2,a(1)=8,a(2)=30} ogf] A281949 6.03242 [(7*f(x)+17)*(4*f(x)*x^3-2*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+2) ogf] A281949 7.40341 [-(-4*x^4-8*x^2+2*x-4)/(-4*x^5+2*x^4-8*x^3+3*x^2-4*x+1) lgdogf] A281964 3.40162 [{(-n^3-10*n^2-33*n-36)*a(n+1)+(n^2+7*n+12)*a(n+2)+(-n-5)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=16} ogf] A281982 3.19418 [{(-4*n-20)*a(n+1)+(2*n+8)*a(n+2)+(-4*n-12)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=2,a(3)=16} ogf] A281982 8.50343 [2*x^2/(4*x^3-2*x^2+4*x-1)^2 ogf] A281982 9.68083 [-(-24*x^2+8*x-8)/(-4*x^3+2*x^2-4*x+1) lgdogf] A281999 7.35240 [-(2*x^5+82*x^4+372*x^3+472*x^2+242*x+30)/(x^6+26*x^5+65*x^4-65*x^2-26*x-1) lgdogf] A281999 8.88415 [-(x^4+26*x^3+66*x^2+26*x+1)/(x+1)/(x-1)^5 ogf] A282002 5.45327 [-(2420000000*f(x)-476600059)*(100*f(x)*x^4+1000*x^4-101*f(x)*x^2-100*x^3+90*x^2+f(x)-10*x-1) ogf] A282002 9.15371 [-(10*x^2+1)*(100*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282003 5.13883 [-(242*f(x)+1368393929)*(100*f(x)*x^4+10*x^4-101*f(x)*x^2-10*x^3-9*x^2+f(x)-x-1) ogf] A282003 8.45630 [-(x^2-x-1)*(10*x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282004 11.2836 [-(4*x^2-2*x-1)*(2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282004 6.92187 [-(2304*f(x)+4805)*(4*f(x)*x^4+8*x^4-5*f(x)*x^2-4*x^3+2*x^2+f(x)-2*x-1) ogf] A282005 10.8689 [-(2*x^2+1)*(x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282005 6.83992 [-(18*f(x)+145)*(4*f(x)*x^4+2*x^4-5*f(x)*x^2-2*x^3-x^2+f(x)-x-1) ogf] A282022 11.8531 [(28*f(x)-19)*(12*f(x)*x^2-f(x)+3*x+1) ogf] A282022 12.2017 [-(-36*x^2-24*x-3)/(-36*x^3-12*x^2+3*x+1) lgdogf] A282022 12.7649 [{-a(n+2)+12*a(n),a(0)=1,a(1)=3} ogf] A282022 19.7552 [-(3*x+1)/(12*x^2-1) ogf] A282023 11.4117 [-(21*f(x)-5)*(12*f(x)*x^2-f(x)+4*x+1) ogf] A282023 12.2507 [-(48*x^2+24*x+4)/(48*x^3+12*x^2-4*x-1) lgdogf] A282023 12.8162 [{a(n+2)-12*a(n),a(0)=1,a(1)=4} ogf] A282023 19.8345 [-(4*x+1)/(12*x^2-1) ogf] A282032 10.3728 [(50*x^11+25*x^10+20*x^9+4*x^5+1)/(x-1)^2 ogf] A282033 9.35037 [(75*x^11+20*x^8-5*x^7+5*x^6+4*x^5+1)/(x-1)^2 ogf] A282034 7.03918 [(20*x^15+70*x^14+54*x^11+4*x^10-50*x^9-45*x^6+45*x^4+x+1)/(x+1)/(x-1)^2 ogf] A282051 6.08411 [-(2*x-1)*(4*x^3-5*x^2-2*x-2)/(x-1)/(8*x^4-16*x^3+4*x^2-7*x+1) ogf] A282077 4.41094 [x*(x^4+10*x^2+5)/(x+1)^5/(x-1)^10 ogf] A282077 7.92169 [-(11*x^5+5*x^4+134*x^3+50*x^2+95*x+25)/(x^6+9*x^4-5*x^2-5) lgdogf] A282078 7.73515 [-(-12*x^5-6*x^4-144*x^3-60*x^2-100*x-30)/(-x^6-9*x^4+5*x^2+5) lgdogf] A282079 7.64099 [-(x^4-2*x^3+4*x^2-2*x+1)/(x^2+1)^2/(x-1)^3 ogf] A282080 4.97801 [-(x^2-x+1)*(x^4-2*x^3+6*x^2-2*x+1)/(x^2+1)^3/(x-1)^5 ogf] A282081 4.62146 [(x^2-x+1)*(x^4-2*x^3+6*x^2-2*x+1)/(x^2+1)^3/(x-1)^6 ogf] A282087 11.2731 [-(x+1)*(2*x-1)/(2*x^2+2*x-1)/(x^2+2*x-1) ogf] A282087 5.80482 [-(11*f(x)-2)*(2*f(x)*x^4+6*f(x)*x^3+f(x)*x^2-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A282087 6.76388 [-(8*x^5+18*x^4+4*x^3-9*x^2-6*x+3)/(4*x^6+14*x^5+6*x^4-13*x^3-3*x^2+5*x-1) lgdogf] A282088 7.61105 [-(-200*x^5+2*x)/(-10000*x^8+20100*x^6-10300*x^4+201*x^2-1) lgdogf] A282088 8.06956 [-100*f(x)*x^4+100*x^4+101*f(x)*x^2-100*x^2-f(x)+1 ogf] A282088 9.70684 [(100*x^4-100*x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282103 5.70981 [-(1000*x^7-1000*x^6-1100*x^4-99*x^3-111*x^2-x-1)/(10*x-1)/(10*x+1)/(x-1)/(x^2+x+1)/(100*x^2+1) ogf] A282104 5.65860 [-(10000*x^7-1000*x^6-110*x^4+990*x^3-111*x^2-10*x-1)/(x-1)/(10*x-1)/(x+1)/(x^2+1)/(100*x^2+10*x+1) ogf] A282105 7.89905 [-(8*x^7-8*x^6-12*x^4-3*x^3-7*x^2-x-1)/(2*x-1)/(2*x+1)/(x-1)/(x^2+x+1)/(4*x^2+1) ogf] A282106 8.06026 [-(16*x^7-8*x^6-6*x^4+6*x^3-7*x^2-2*x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1)/(4*x^2+2*x+1) ogf] A282113 7.69047 [-(56*x^8-8*x^7-8*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x-65)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A282114 7.04727 [-(72*x^9-9*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2-9*x-82)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A282115 6.09723 [-(90*x^10-10*x^9-10*x^8-10*x^7-10*x^6-10*x^5-10*x^4-10*x^3-10*x^2-10*x-101)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A282121 11.2581 [(9*x^2+11*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282121 6.06961 [-(96889938*f(x)-5948879)*(100*f(x)*x^4-101*f(x)*x^2-9*x^2+f(x)-11*x-1) ogf] A282122 10.6515 [-(90*x^2-11*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282122 6.04544 [(3236379*f(x)-1348295)*(100*f(x)*x^4-101*f(x)*x^2+90*x^2+f(x)-11*x-1) ogf] A282123 13.6180 [(x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282123 7.53616 [-(2498*f(x)-1535)*(4*f(x)*x^4-5*f(x)*x^2-x^2+f(x)-3*x-1) ogf] A282124 14.1054 [-(2*x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282124 8.0401 [-(43*f(x)+101)*(4*f(x)*x^4-5*f(x)*x^2+2*x^2+f(x)-3*x-1) ogf] A282125 4.27051 [-2*x^2*(12*x^2-2*x-5)*(4*x^2-2*x+3)/(8*x^4-16*x^3+4*x^2-7*x+1)^2 ogf] A282132 3.35983 [{(n^3+10*n^2+33*n+36)*a(n+1)+(-n^2-7*n-12)*a(n+2)+(n+5)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=6} ogf] A282137 10.5120 [(12*x+1)*(2*x-1)/(x-1)/(16*x^2+1) ogf] A282137 5.60067 [(12057*f(x)+2543)*(16*f(x)*x^3-16*f(x)*x^2+f(x)*x-24*x^2-f(x)+10*x+1) ogf] A282137 5.89035 [{-a(n+3)+a(n+2)-16*a(n+1)+16*a(n),a(0)=1,a(1)=11,a(2)=-29} ogf] A282142 7.16782 [-(20000*x^5-200*x)/(10000*x^8-10200*x^6+301*x^4-102*x^2+1) lgdogf] A282142 7.96424 [-100*f(x)*x^4+100*x^4+101*f(x)*x^2-x^2-f(x)+1 ogf] A282142 9.62842 [(100*x^4-x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282153 10.7723 [x*(3*x^2-2*x+1)/(2*x-1)/(x-1)/(x^2-x+1) ogf] A282153 5.6574 [-(42*f(x)+25)*(2*f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A282185 4.18968 [x^2*(18*x^6+48*x^5+80*x^4+58*x^3+24*x^2-8*x+1)/(6*x^3+8*x^2+8*x-1)^2 ogf] A282232 6.00731 [-x*(7*x^5+1687*x^4+17122*x^3+29162*x^2+9887*x+455)/(x-1)^7 ogf] A282284 8.18432 [(2*x^6-4*x^5-41*x^4-28*x^3-32*x^2-4*x-1)/(x-1)^3/(x+1)^3 ogf] A282285 7.91080 [(2*x^6-12*x^5-105*x^4-76*x^3-96*x^2-12*x-1)/(x-1)^3/(x+1)^3 ogf] A282286 7.85155 [(2*x^6-24*x^5-201*x^4-148*x^3-192*x^2-24*x-1)/(x-1)^3/(x+1)^3 ogf] A282288 17.4203 [-(-304*x^15-19)/(x^16+x+1) lgdogf] A282310 10.3317 [-(3*x^2+4*x+4)/(3*x^3+3*x^2+3*x-1) ogf] A282310 5.38662 [-(61*f(x)+21)*(3*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+4*x+4) ogf] A282310 5.52836 [{-a(n+3)+3*a(n+2)+3*a(n+1)+3*a(n),a(0)=4,a(1)=16,a(2)=63} ogf] A282327 8.16918 [-(9*x^4+32*x^3+54*x^2+32*x+9)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A282350 18.2693 [-(-180*x^11-15)/(x^12+x+1) lgdogf] A282371 8.51894 [x^2/(3*x^3+3*x^2+3*x-1)^2 ogf] A282371 9.29339 [-(-18*x^2-12*x-6)/(-3*x^3-3*x^2-3*x+1) lgdogf] A282393 6.67076 [-(4*x^5+4*x^4+2*x^3-5*x^2-4*x-4)/(4*x^6+2*x^4-7*x^3-x^2-3*x+1) ogf] A282394 3.61984 [-(4*x^8-58*x^7-37*x^6-36*x^5-54*x^4-25*x^3-x^2+17*x+8)/(4*x^9-62*x^8+25*x^7-61*x^6+7*x^5-29*x^4+21*x^3+5*x^2+5*x-1) ogf] A282411 4.47146 [(29577777482000*f(x)-133771533140631)*(100*f(x)*x^4-100*x^5-101*f(x)*x^2+101*x^3-10*x^2+f(x)-x-1) ogf] A282411 7.90685 [(100*x^5-101*x^3+10*x^2+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282412 7.66612 [(1000*x^5-1010*x^3+10*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282413 5.88683 [-(22032*f(x)-6323)*(4*f(x)*x^4-4*x^5-5*f(x)*x^2+5*x^3-2*x^2+f(x)-x-1) ogf] A282413 9.67699 [(4*x^5-5*x^3+2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282414 9.54622 [(8*x^5-10*x^3+2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282415 8.70560 [(10*x^3+100*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A282416 8.91537 [(100*x^3+x^2-x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A282417 10.6864 [(2*x^3+4*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A282418 10.6864 [(4*x^3+x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A282435 5.80499 [2*x^2/(4*x^6+2*x^4-7*x^3-x^2-3*x+1)^2 ogf] A282435 6.86044 [-(48*x^5+16*x^3-42*x^2-4*x-6)/(4*x^6+2*x^4-7*x^3-x^2-3*x+1) lgdogf] A282451 5.38749 [-(22000*f(x)+12146430399)*(100*f(x)*x^4-101*f(x)*x^2+x^3-10*x^2+f(x)-x-1) ogf] A282451 9.54354 [-(x^3-10*x^2-x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282452 5.61395 [-(22000000*f(x)-9596535879)*(100*f(x)*x^4-101*f(x)*x^2+1000*x^3-10*x^2+f(x)-10*x-1) ogf] A282452 9.86235 [-(1000*x^3-10*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282453 12.1524 [-(x^3-2*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282453 7.24683 [-(48*f(x)+3391)*(4*f(x)*x^4-5*f(x)*x^2+x^3-2*x^2+f(x)-x-1) ogf] A282454 12.0180 [-(8*x^3-2*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282454 7.43974 [(384*f(x)+457)*(4*f(x)*x^4-5*f(x)*x^2+8*x^3-2*x^2+f(x)-2*x-1) ogf] A282464 6.79317 [-x*(x^4-2*x^3+4*x^2-2*x+1)/(x-1)/(x+1)^2/(x^2-3*x+1)^2 ogf] A282465 10.1461 [{a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=46} ogf] A282465 12.2047 [-(-45*x^2-2*x-46)/(-45*x^3-46*x^2+44*x+1) lgdogf] A282465 18.3071 [-(45*x+1)/(x^2+x-1) ogf] A282465 9.4621 [(12*f(x)+517)*(f(x)*x^2+f(x)*x-f(x)+45*x+1) ogf] A282466 15.1976 [-(-4*x+6)/(-4*x^2+9*x-5) lgdegf] A282466 16.2108 [-(4*x-5)/(x-1)^2 egf] A282466 4.21668 [{(-16*n^2-64*n-64)*a(n+1)+(-5*n^2-19*n-24)*a(n+2)+(5*n+15)*a(n+3),a(0)=5,a(1)=6,a(2)=14} ogf] A282466 8.4824 [(f(x)+13)*(f(x)*x^2-2*f(x)*x+f(x)+4*x-5) egf] A282473 7.25136 [9*(x^11+x^10+11*x^9+11*x^8+11*x^7+11*x^6+11*x^5+11*x^4+11*x^3+11*x^2+11*x+10)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A282484 7.05717 [(8*x^10-5*x^6-x^5+2*x^4+12*x^3+5*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A282485 7.17979 [(128*x^10+88*x^6-32*x^5-10*x^4+3*x^3-x^2+3*x+1)/(x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282502 5.36160 [-(x^21+x^18+x^15-x^9-x^6-x^3-1)/(x^25+x^22-x^21-x^18-x^15-2*x^13-3*x^10+x^9-2*x^7+x^6-2*x^4+x^3-x+1) ogf] A282504 5.78746 [(x^28+x^24-2*x^16-x^12-x^8+1)/(x^28-x^25+x^24+3*x^21+3*x^17-2*x^16+x^13-x^12+x^9-x^8-x^5-x+1) ogf] A282513 8.98011 [-x*(x^3+x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A282522 4.45527 [-(117397*f(x)+260572)*(8*f(x)*x^4-2*f(x)*x^3-f(x)*x^2+8*x^3-3*f(x)*x+6*x^2+f(x)-3*x-4) ogf] A282522 8.73696 [-(8*x^3+6*x^2-3*x-4)/(8*x^4-2*x^3-x^2-3*x+1) ogf] A282523 4.50059 [-(6*x^7+4*x^6-2*x^5+13*x^4-11*x^3-25*x^2+3*x+8)/(6*x^8-2*x^7+13*x^5-24*x^4-x^3+2*x^2+5*x-1) ogf] A282544 99.9999 Evaluated at exp(-Pi) 3/16*GAMMA(2/3)^2*GAMMA(11/12)^3*GAMMA(7/12)^5*(2+3^(1/2))/GAMMA(3/4)^12 A282554 5.26022 [2*x^2*(2*x-1)*(2*x-5)/(8*x^4-2*x^3-x^2-3*x+1)^2 ogf] A282563 13.6401 [-(5*x-1)/(9*x-1)/(4*x-1) ogf] A282563 6.74828 [-(145*f(x)+111)*(36*f(x)*x^2-13*f(x)*x+f(x)+5*x-1) ogf] A282563 7.63198 [{a(n+2)-13*a(n+1)+36*a(n),a(0)=1,a(1)=8} ogf] A282563 8.90397 [-(-180*x^2+72*x-8)/(-180*x^3+101*x^2-18*x+1) lgdogf] A282577 10.8868 [-(4*x^3+2*x)/(8*x^6-14*x^4+7*x^2-1) lgdogf] A282577 11.6007 [(2*x^2-1)^2/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282577 9.43525 [-4*f(x)*x^4+4*x^4+5*f(x)*x^2-4*x^2-f(x)+1 ogf] A282579 12.2085 [(4*x^4-x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282579 9.79892 [-(32*x^5-8*x)/(16*x^8-24*x^6+13*x^4-6*x^2+1) lgdogf] A282579 9.92957 [-4*f(x)*x^4+4*x^4+5*f(x)*x^2-x^2-f(x)+1 ogf] A282608 6.02981 [(16*x^13-18*x^9+6*x^8-4*x^7-8*x^6+26*x^5+4*x^4+4*x^3+6*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A282609 6.06815 [(512*x^13-288*x^9-96*x^8-32*x^7-8*x^6+22*x^5-2*x^4+2*x^3+3*x^2+1)/(x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282610 6.39452 [-(4*x^8+3*x^7+3*x^6+5*x^5+3*x^4+3*x^3+5*x^2+3*x+3)/(-x^9+1) ogf_with_Euler_transform] A282611 5.73557 [-(4*x^7+3*x^6+2*x^5+3*x^4+2*x^3+x^2+2*x+1)/(-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A282612 3.87246 [x*(56*x^7+2365*x^6+14934*x^5+26015*x^4+14500*x^3+2499*x^2+110*x+1)/(x-1)^10 ogf] A282613 3.50202 [x*(x^8+130*x^7+3640*x^6+22054*x^5+39070*x^4+22054*x^3+3640*x^2+130*x+1)/(x-1)^10 ogf] A282614 3.64352 [x*(104*x^7+3577*x^6+22254*x^5+39095*x^4+21820*x^3+3711*x^2+158*x+1)/(x-1)^10 ogf] A282621 6.28703 [-8*(202*x^3-61*x^2-7*x+1)/(22*x-1)/(5*x-1)/(2*x-1)/(4*x-1)/(14*x-1) ogf] A282626 15.093 [1+3*f(x)*x-f(x)^3 egf] A282626 3.25700 [{(4*n^2+10*n+4)*a(n+1)+(-n^2-7*n-12)*a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=-1/3} egf] A282627 11.5326 [1-9*f(x)*x^2+6*f(x)^2*x-f(x)^3 egf] A282641 10.5755 [-(4*x^2+7*x+4)/(4*x^3+3*x^2+x-1) ogf] A282641 5.42103 [(37635*f(x)-89764)*(4*f(x)*x^3+3*f(x)*x^2+f(x)*x+4*x^2-f(x)+7*x+4) ogf] A282641 5.65881 [{-a(n+3)+a(n+2)+3*a(n+1)+4*a(n),a(0)=4,a(1)=11,a(2)=27} ogf] A282642 6.30172 [-(2*x^5+3*x^3-3*x^2-13*x-7)/(2*x^6-2*x^5+5*x^4-8*x^3-6*x^2-2*x+1) ogf] A282643 3.53881 [-(7*x^8-16*x^7-58*x^6-86*x^5-52*x^4+11*x^3+53*x^2+50*x+13)/(7*x^9-23*x^8-35*x^7-51*x^6-2*x^5+16*x^4+45*x^3+16*x^2+2*x-1) ogf] A282654 7.24683 [(16*x^11+4*x^7-4*x^5+8*x^4+3*x^3+6*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A282655 7.11742 [(128*x^11+32*x^7-8*x^5+2*x^4-6*x^3+3*x^2+2*x+1)/(x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282702 10.2776 [{-a(n+2)+3*a(n+1)+a(n),a(0)=4,a(1)=11} ogf] A282702 12.9249 [-(-x^2+8*x+11)/(-x^3+x^2+13*x-4) lgdogf] A282702 18.9565 [(x-4)/(x^2+3*x-1) ogf] A282702 9.37411 [-(41*f(x)-43)*(f(x)*x^2+3*f(x)*x-f(x)-x+4) ogf] A282703 12.1171 [-(-5*x^2-14*x-26)/(-5*x^3-22*x^2-16*x+7) lgdogf] A282703 18.3102 [-(5*x+7)/(x^2+3*x-1) ogf] A282703 9.58092 [(23*f(x)+8)*(f(x)*x^2+3*f(x)*x-f(x)+5*x+7) ogf] A282703 9.92723 [{a(n+2)-3*a(n+1)-a(n),a(0)=7,a(1)=26} ogf] A282711 8.20762 [-(x^17+x^15+x^13+x^11-x^8-x^6-x^4-x^2-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A282718 4.67210 [{-a(n+4)+a(n+3)+a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=4,a(4)=7,a(5)=13} ogf] A282718 9.98421 [x*(x^4+x^3-2*x-1)/(x^3+x^2+x-1) ogf] A282732 10.4362 [-(2*x^4-2*x^3+x^2+1)/(2*x^5-2*x^4+x^3-x^2+3*x-1) ogf] A282737 10.5482 [(x^6-x^4+x^3-x-1)/(x+1)^2/(x-1)^3 ogf] A282738 12.9739 [-(x^5+x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A282768 3.26559 [-(f(x)*x^2-2*f(x)*x+f(x)-55)^2 ogf] A282779 5.83446 [(x^16+2*x^15+3*x^14+4*x^13+5*x^12+6*x^11+7*x^10+8*x^9+3*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A282785 10.3370 [-(-24*x^2-12*x-2)/(-4*x^3-3*x^2-x+1) lgdogf] A282785 3.46314 [{(-4*n-20)*a(n+1)+(-3*n-12)*a(n+2)+(-n-3)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=8,a(3)=16} ogf] A282785 9.47554 [8*x^2/(4*x^3+3*x^2+x-1)^2 ogf] A282796 5.03828 [-(1599989156151*f(x)-7005602621495)*(100*f(x)*x^4-101*f(x)*x^2-100*x^3-10*x^2+f(x)-1) ogf] A282796 9.78018 [(100*x^3+10*x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282797 10.6785 [(10*x^3+10*x^2+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282797 5.58955 [(32530177999020*f(x)+2443135223759)*(100*f(x)*x^4-101*f(x)*x^2-10*x^3-10*x^2+f(x)-1) ogf] A282798 12.8914 [(4*x^3+2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282798 7.21448 [-(32719*f(x)+23333)*(4*f(x)*x^4-5*f(x)*x^2-4*x^3-2*x^2+f(x)-1) ogf] A282799 12.7180 [(2*x^3+2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282799 7.25046 [-(6268*f(x)+5831)*(4*f(x)*x^4-5*f(x)*x^2-2*x^3-2*x^2+f(x)-1) ogf] A282800 8.35060 [(2*x+1)*(50*x^4-25*x^3+12*x^2-x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282801 8.48884 [(1000*x^5-1000*x^3+10*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A282802 10.8206 [(4*x^5-x^3+2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282803 10.6757 [(8*x^5-8*x^3+2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A282816 6.56134 [-x^2*(x^4+4*x^3+20*x^2+4*x+1)/(x-1)^7 ogf] A282816 7.77169 [-(-3*x^4-20*x^3-112*x^2-64*x-11)/(-x^5-3*x^4-16*x^3+16*x^2+3*x+1) lgdogf] A282817 10.6261 [-(-4*x^3-8*x^2+58*x+24)/(-x^4+11*x^2-8*x-2) lgdogf] A282817 4.23913 [{(-17*n^2-82*n-96)*a(n+1)+(57*n^2+216*n+159)*a(n+2)+(-40*n^2+4*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A282817 6.99085 [3*x^3*(x^3+x^2-10*x-2)/(x-1)^7 ogf] A282818 4.28882 [{(3*n^2+35*n+58)*a(n+1)+(-7*n^2-28*n+125)*a(n+2)+(4*n^2-13*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2} ogf] A282818 6.89940 [-2*x^3*(20*x^3+6*x^2+3*x+1)/(x-1)^7 ogf] A282818 9.22594 [-(80*x^3+90*x^2+30*x+10)/(20*x^4-14*x^3-3*x^2-2*x-1) lgdogf] A282819 6.50580 [-2*x^2*(x^4+4*x^3+20*x^2+4*x+1)/(x-1)^7 ogf] A282819 7.70590 [-(-3*x^4-20*x^3-112*x^2-64*x-11)/(-x^5-3*x^4-16*x^3+16*x^2+3*x+1) lgdogf] A282820 3.99348 [{(163*n^2+848*n+1044)*a(n+1)+(-516*n^2-1824*n-432)*a(n+2)+(353*n^2-164*n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=9} ogf] A282820 6.84100 [3*x^3*(x-3)*(x^2+8*x+1)/(x-1)^7 ogf] A282820 9.14785 [-(-4*x^3-28*x^2+128*x+44)/(-x^4-4*x^3+28*x^2-20*x-3) lgdogf] A282822 14.5536 [-(-5*x+3)/(-5*x^2+9*x-4) lgdegf] A282822 15.5239 [(5*x-4)/(x-1)^2 egf] A282822 4.01480 [{(-25*n^2-100*n-100)*a(n+1)+(4*n^2+53*n+93)*a(n+2)+(-4*n-12)*a(n+3),a(0)=-4,a(1)=-3,a(2)=-4} ogf] A282822 7.76195 [-(2*f(x)+17)*(f(x)*x^2-2*f(x)*x+f(x)-5*x+4) egf] A282831 7.60352 [x^3*(x^2+x-1)/(x^3+x^2+x-1)^3 ogf] A282831 7.91707 [-(-7*x^4-12*x^3+3*x^2+2*x+2)/(-x^5-2*x^4-x^3+x^2+2*x-1) lgdogf] A282832 5.32999 [16*x^3*(3*x^2+x-1)/(4*x^3+3*x^2+x-1)^3 ogf] A282832 6.68862 [-(84*x^4+68*x^3-18*x^2-10*x-2)/(12*x^5+13*x^4+2*x^3-5*x^2-2*x+1) lgdogf] A282848 10.7198 [-(x^4+x^3-3*x^2-3*x-4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A282850 13.9196 [-x*(35*x+1)/(x-1)^3 ogf] A282850 15.5257 [-(-70*x-38)/(-35*x^2+34*x+1) lgdogf] A282850 6.45869 [-(5229360*f(x)-62193781)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+35*x^2-f(x)+x) ogf] A282850 7.20837 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=38} ogf] A282851 12.8475 [-x*(32*x+1)/(x-1)^3 ogf] A282851 14.3299 [-(-64*x-35)/(-32*x^2+31*x+1) lgdogf] A282851 6.05816 [-(264627*f(x)-2882741)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+32*x^2-f(x)+x) ogf] A282851 6.65316 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=35} ogf] A282852 12.9111 [-x*(34*x+1)/(x-1)^3 ogf] A282852 14.4008 [-(-68*x-37)/(-34*x^2+33*x+1) lgdogf] A282852 5.99074 [-(2338525*f(x)-27033318)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+34*x^2-f(x)+x) ogf] A282852 6.68610 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=37} ogf] A282853 12.9111 [-x*(33*x+1)/(x-1)^3 ogf] A282853 14.4008 [-(-66*x-36)/(-33*x^2+32*x+1) lgdogf] A282853 5.99074 [-(4169692*f(x)-46812255)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+33*x^2-f(x)+x) ogf] A282853 6.68610 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=36} ogf] A282854 12.7839 [-x*(31*x+1)/(x-1)^3 ogf] A282854 14.2589 [-(-62*x-34)/(-31*x^2+30*x+1) lgdogf] A282854 5.93172 [-(3279872*f(x)-34636833)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+31*x^2-f(x)+x) ogf] A282854 6.62022 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=34} ogf] A282856 7.18183 [-(x+1)*(x^3+x^2+3*x+4)/(x^5+x^4+3*x^3+4*x^2+x-1) ogf] A282871 7.84392 [(100*x^6+9*x^4+90*x^3-89*x^2-x+1)/(10*x-1)/(10*x+1)/(x-1) ogf] A282876 6.65142 [f(x)^2*x^4+20*f(x)*x^3+18*f(x)*x^2+6*f(x)*x-28*x^2+f(x)-12*x-3 ogf] A282879 4.72654 [2*x*(2*x+1)*(x^3+x^2+1)/(x^5+x^4+3*x^3+4*x^2+x-1)^2 ogf] A282911 6.91094 [(10*x^5-100*x^4+990*x^3+100*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(100*x^2+1) ogf] A282912 7.42559 [(10000*x^5-100*x^4-99*x^3+x^2+x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A282913 8.84175 [(2*x^5-4*x^4+6*x^3+4*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1) ogf] A282914 8.90391 [(16*x^5-4*x^4-3*x^3+x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A282915 6.66291 [-(1000*x^10-10989*x^6-x^5+9890*x^4-1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(100*x^2+1) ogf] A282916 6.39075 [-(10000000*x^10+1098900*x^6-100000*x^5-1099*x^4-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(x^2+1) ogf] A282917 8.48100 [-(8*x^10-21*x^6-x^5+10*x^4-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A282918 8.82977 [-(128*x^10+84*x^6-32*x^5-11*x^4-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A282928 17.1771 [-40*x^6-41/(x-1) ogf_with_Euler_transform] A282931 18.4158 [-52*x^6-53/(x-1) ogf_with_Euler_transform] A282932 18.5809 [-56*x^6-57/(x-1) ogf_with_Euler_transform] A282937 11.3066 [-(-5*x^4-6*x^3-6*x^2-6*x-6)/(x^5-1) ogf_with_Euler_transform] A282942 8.97620 [-(-7*x^6-8*x^5-8*x^4-8*x^3-8*x^2-8*x-8)/(x^7-1) ogf_with_Euler_transform] A282948 3.68129 [{(-4*n^2-25*n-39)*a(n+1)+(8*n^2+48*n+112)*a(n+2)+(-4*n^2-23*n-33)*a(n+3),a(0)=162401,a(1)=2598416,a(2)=13154481} ogf] A282948 6.72088 [-162401*(x+1)*(x^2+10*x+1)/(x-1)^5 ogf] A282948 9.51397 [-(2*x^3+36*x^2+66*x+16)/(x^4+10*x^3-10*x-1) lgdogf] A282971 11.4648 [-(x-1)*(x^2+x+1)*(x+1)*(x^2-x+1)*(x^2+1)*(x^4-x^2+1)*(x^4+1)*(x^8-x^4+1)/(x^26-x^24-x^17-x^13-x^5-x^2+1) ogf] A282990 5.43016 [-(126*f(x)+65)*(f(x)*x^4-3*f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-3*x-4) ogf] A282990 9.91596 [-(x^3+x^2-3*x-4)/(x^4-3*x^2-2*x+1) ogf] A282991 3.80080 [-(x^8-3*x^6-11*x^5-16*x^4+7*x^3+27*x^2+19*x+7)/(x+1)/(x^8-2*x^7-x^6-9*x^5+13*x^3+7*x^2+3*x-1) ogf] A283002 4.32181 [-(396*x^48+297*x^47+40*x^10+76*x^9+68*x^8+60*x^7+52*x^6+44*x^5+36*x^4+28*x^3+20*x^2+12*x+4)/(495*x^48-297*x^47-40*x^11+44*x^10-4) ogf] A283036 7.25132 [-4*x*(x-1)*(x+1)/(x^4-3*x^2-2*x+1)^2 ogf] A283036 7.33189 [-(6*x^5-14*x^3+10*x+4)/(x^6-4*x^4-2*x^3+4*x^2+2*x-1) lgdogf] A283049 4.65633 [{(-256*n^3-1920*n^2-4784*n-3960)*a(n+1)+(27*n^3+216*n^2+519*n+330)*a(n+2),a(0)=0,a(1)=4} ogf] A283070 10.6830 [-(-20*x^2+16*x-5)/(-20*x^3+33*x^2-15*x+2) lgdogf] A283070 16.0244 [-2*(5*x-2)/(4*x-1)/(x-1) ogf] A283070 8.10025 [-(9*f(x)+14)*(4*f(x)*x^2-5*f(x)*x+f(x)+10*x-4) ogf] A283070 8.88101 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=4,a(1)=10} ogf] A283094 3.61230 [-2*x^2*(x^7-x^6-x^5+2*x^4-3*x^3+4*x^2+4*x-3)/(x^4-3*x^2-2*x+1)^3 ogf] A283114 5.29104 [-x^3*(3*x^6+10*x^5+16*x^4+20*x^3+8*x^2+2*x+1)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A283120 17.2523 [-(8*x+15)/(x^2-1) ogf_with_Euler_transform] A283120 99.9999 Evaluated at exp(-Pi) 4*exp(-1/24*Pi)/Pi^2*2^(1/8)*GAMMA(3/4)^8 A283121 15.0845 [-(-9*x^2-13*x-13)/(-x^3+1) ogf_with_Euler_transform] A283124 7.17624 [-(x+2)*(x^3-x-2)/(x^5+x^4-2*x^3-2*x^2-3*x+1) ogf] A283125 3.71327 [-(2*x^8+5*x^7-12*x^6-33*x^5-2*x^4+32*x^3+37*x^2+17*x+8)/(2*x^9+3*x^8-15*x^7-20*x^6+12*x^5+18*x^4+25*x^3+7*x^2+5*x-1) ogf] A283149 4.98137 [-(6*x^95+3*x^94+4*x^93+8*x^92+4*x^91+4*x^90+3*x^8-x^7-x^6+2*x^5-x^4-x^3-4*x^2-2*x-1)/(x^96+x^95+x^94-4*x^90-3*x^3+x^2+x+1) ogf] A283163 16.4096 [-(-4*x-7)/(x^2-1) ogf_with_Euler_transform] A283163 99.9999 Evaluated at exp(-Pi) 1/4*exp(1/24*Pi)*Pi*2^(7/8)/GAMMA(3/4)^4 A283164 10.2200 [-(-6*x^5-12*x^4-8*x^3-9*x^2-8*x-12)/(x^6-1) ogf_with_Euler_transform] A283168 17.6683 [-(-8*x-15)/(x^2-1) ogf_with_Euler_transform] A283168 99.9999 Evaluated at exp(-Pi) 1/8*exp(1/24*Pi)*Pi^2*2^(7/8)/GAMMA(3/4)^8 A283169 13.5523 [-(-9*x^2-13*x-13)/(x^3-1) ogf_with_Euler_transform] A283197 5.04019 [-2*x^2*(x+1)*(2*x^2+3*x-3)/(x^5+x^4-2*x^3-2*x^2-3*x+1)^2 ogf] A283207 5.86701 [-2*(x^23-x^21+x^20-x^18+2*x^17-x^16+x^14-x^13-x^12+2*x^11+x^2+1)/(x-1) ogf] A283214 9.83106 [(11*x^3+10*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(x^2+1) ogf] A283215 9.61428 [(1100*x^3+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1)/(100*x^2+1) ogf] A283216 12.3694 [(3*x^3+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^2+1) ogf] A283217 11.5125 [(12*x^3+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A283224 12.7786 [-(5*x^2+8*x+5)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A283238 9.45267 [-(10*x^4+20*x^3+27*x^2+20*x+10)/(-x^6+2*x^3-1) ogf_with_Euler_transform] A283242 12.4480 [-(-5*x^2-8*x-5)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A283243 9.28938 [-(-10*x^4-20*x^3-27*x^2-20*x-10)/(-x^6+2*x^3-1) ogf_with_Euler_transform] A283263 13.5506 [-(-x-1)/(x^3-3*x^2+3*x-1) ogf_with_Euler_transform] A283264 10.5411 [-(-x^2-4*x-1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A283271 7.95679 [-(-x^3-11*x^2-11*x-1)/(x^5-5*x^4+10*x^3-10*x^2+5*x-1) ogf_with_Euler_transform] A283276 4.87460 [-(x^7+x^5+x^4+x^3-x^2-3*x-4)/(x^8-x^7+2*x^6-x^5+2*x^4-3*x^3-x^2-3*x+1) ogf] A283323 14.9803 [-(2*x^3-2*x-1)/(x-1)/(2*x+1)/(2*x-1) ogf] A283323 6.87066 [{a(n+4)-a(n+3)-4*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=13} ogf] A283323 7.74405 [-(61*f(x)+129)*(4*f(x)*x^3-4*f(x)*x^2+2*x^3-f(x)*x+f(x)-2*x-1) ogf] A283323 8.54017 [-(-8*x^4+12*x^3+10*x^2-8*x-3)/(-8*x^6+8*x^5+10*x^4-6*x^3-6*x^2+x+1) lgdogf] A283329 6.51012 [-(5*x^8+13*x^7+33*x^6-38*x^5-46*x^4-50*x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6-50*x^3+1) ogf] A283330 4.97099 [-(6*x^11+16*x^10+41*x^9+106*x^8-112*x^7-137*x^6-147*x^5-152*x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^8-152*x^4+1) ogf] A283331 15.2029 [-(f(x)*x-f(x)+1)^3 ogf] A283332 7.23688 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 ogf] A283336 6.26875 [-(-x^4-26*x^3-66*x^2-26*x-1)/(-x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) ogf_with_Euler_transform] A283337 5.11869 [-(x^5+57*x^4+302*x^3+302*x^2+57*x+1)/(-x^7+7*x^6-21*x^5+35*x^4-35*x^3+21*x^2-7*x+1) ogf_with_Euler_transform] A283348 7.33170 [(10000*x^6-9000*x^4-90*x^3+109*x^2-10*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A283349 9.45305 [(4*x^6+x^4+2*x^3-x^2-x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A283350 9.14393 [(16*x^6-8*x^4-2*x^3+5*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A283351 4.96389 [{-a(n+4)+a(n+3)+100*a(n+2)-100*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=111} ogf] A283351 5.39384 [(121*f(x)-119)*(100*f(x)*x^3-100*f(x)*x^2-110*x^3-f(x)*x+100*x^2+f(x)-1) ogf] A283351 9.38379 [(110*x^3-100*x^2+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A283352 10.1160 [(110*x^3-x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A283352 4.98575 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=10,a(2)=100,a(3)=1110} ogf] A283352 5.53973 [-(121*f(x)+79)*(10*f(x)*x^3-f(x)*x^2-110*x^3-10*f(x)*x+x^2+f(x)-1) ogf] A283353 11.9419 [(2*x+1)*(3*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A283353 5.83628 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=14} ogf] A283353 6.74978 [(f(x)+1)*(2*f(x)*x^3-f(x)*x^2-6*x^3-2*f(x)*x+x^2+f(x)-1) ogf] A283353 7.39262 [-(4*x^4+24*x^3-14*x^2-2)/(12*x^6-8*x^5-11*x^4+10*x^3-2*x^2-2*x+1) lgdogf] A283355 6.84319 [(100*x^7+9*x^5-10*x^4+11*x^3-10*x^2+9*x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A283356 6.47304 [(100000*x^7-90000*x^5-1000*x^4+1100*x^3-10*x^2-9*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A283357 8.64527 [(4*x^7+x^5-2*x^4+3*x^3-2*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A283358 8.26491 [(32*x^7-16*x^5-8*x^4+12*x^3-2*x^2-x+1)/(x-1)/(2*x-1)/(x+1) ogf] A283393 8.37465 [-(10*x^9+x^8+2*x^7+5*x^6+2*x^5+5*x^4+2*x^3+x^2+10*x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A283394 12.8338 [-(-2*x^2+10*x+19)/(-2*x^3+9*x^2-3*x-4) lgdogf] A283394 13.8858 [(2*x+1)*(x-4)/(x-1)^3 ogf] A283394 7.43011 [(11*f(x)-104)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+7*x+4) ogf] A283394 7.43011 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=4,a(1)=19,a(2)=43} ogf] A283409 6.74299 [-(x^4+x^3+x^2+4*x+4)/(x^5+x^4+x^3+3*x^2+3*x-1) ogf] A283410 5.10019 [(x+1)*(2*x^5-x^4+3*x^3+6*x^2-13*x-8)/(2*x^5+x^4+10*x^3+13*x^2+5*x-1) ogf] A283437 8.16029 [-(x+1)*(x^5-x^3+1)/(x-1)/(x^2+x+1)/(x^4-x^2+1) ogf] A283439 6.31781 [-(x^6-2*x^5+3*x^4-2*x^3+5*x-1)/(x+1)/(x^2-x+1)^3 ogf] A283442 6.99509 [x*(5*x^8+10*x^7+15*x^6+20*x^5+x^4+20*x^3+15*x^2+10*x+5)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A283443 6.23832 [x*(6*x^10+3*x^9+2*x^8+6*x^7+30*x^6+x^5+30*x^4+6*x^3+2*x^2+3*x+6)/(x-1)^2/(x^2+x+1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A283444 5.28378 [x*(7*x^12+14*x^11+21*x^10+28*x^9+35*x^8+42*x^7+x^6+42*x^5+35*x^4+28*x^3+21*x^2+14*x+7)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A283456 4.94713 [(210*f(x)-5683)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2+59*x^3-10*f(x)*x-85*x^2+f(x)+37*x-5) ogf] A283456 8.77529 [-(59*x^3-85*x^2+37*x-5)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A283457 5.03725 [-(2034*x^5-3797*x^4+2589*x^3-822*x^2+123*x-7)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A283488 4.53678 [-2*x^2*(x^2+x+1)*(x^2+x-1)/(x^5+x^4+x^3+3*x^2+3*x-1)^2 ogf] A283504 4.9079 [-(195899*f(x)-1226200)*(10*f(x)*x^3-f(x)*x^2-100*x^3-10*f(x)*x-100*x^2+f(x)+10*x-1) ogf] A283504 5.01459 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=0,a(2)=101,a(3)=1100} ogf] A283504 9.10545 [(100*x^3+100*x^2-10*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A283505 5.18451 [-(16321+1013980*f(x))*(100*f(x)*x^3-100*f(x)*x^2-10*x^3-f(x)*x-x^2+f(x)+x-1) ogf] A283505 5.18451 [{a(n+4)-a(n+3)-100*a(n+2)+100*a(n+1),a(0)=1,a(1)=0,a(2)=101,a(3)=11} ogf] A283505 9.66841 [(10*x^3+x^2-x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A283506 11.1990 [(4*x^3+4*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A283506 5.85401 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=5,a(3)=12} ogf] A283506 6.13276 [(3501*f(x)-19126)*(2*f(x)*x^3-f(x)*x^2-4*x^3-2*f(x)*x-4*x^2+f(x)+2*x-1) ogf] A283506 8.13399 [-(-12*x^4-8*x^3-4*x^2+10*x)/(-8*x^6-4*x^5+16*x^4-7*x^2+4*x-1) lgdogf] A283507 11.2946 [(2*x^3+x^2-x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A283507 5.94905 [{a(n+4)-a(n+3)-4*a(n+2)+4*a(n+1),a(0)=1,a(1)=0,a(2)=5,a(3)=3} ogf] A283507 6.04128 [-(5868*f(x)+9757)*(4*f(x)*x^3-4*f(x)*x^2-2*x^3-f(x)*x-x^2+f(x)+x-1) ogf] A283507 7.49352 [-(-12*x^4+4*x^3-11*x^2+10*x)/(-8*x^6+4*x^5+10*x^4-9*x^3+2*x^2+2*x-1) lgdogf] A283508 12.6910 [(x^2-x+1)/(10*x-1)/(x-1) ogf] A283508 6.52341 [{-a(n+3)+11*a(n+2)-10*a(n+1),a(0)=1,a(1)=10,a(2)=101} ogf] A283508 7.27089 [(2+23*f(x))*(10*f(x)*x^2-11*f(x)*x-x^2+f(x)+x-1) ogf] A283508 8.94878 [-(x^2+18*x-10)/(10*x^4-21*x^3+22*x^2-12*x+1) lgdogf] A283514 3.79984 [-(81000000000*x^8+6300000000*x^7+549000000*x^6+46800000*x^5+3870000*x^4+306000*x^3+22500*x^2-560*x+3)/(x-1)/(100*x-1)^2 ogf] A283523 10.0354 [-(2*x^5+x^4+x^3-7*x^2+3*x-1)/(2*x-1)/(x-1) ogf] A283538 5.73652 [-(x-1)*(8*x^4+12*x^3-2*x^2-x+7)/(8*x^6-4*x^5-10*x^4+7*x^3+x^2-5*x+1) ogf] A283539 3.81045 [-(16*x^7+6*x^6-95*x^5-43*x^4+43*x^3-8*x^2-2*x+13)/(16*x^8-10*x^7-85*x^6+26*x^5+27*x^4-14*x^3+10*x^2+6*x-1) ogf] A283544 5.54731 [-(2*x^5-9*x^4-5*x^3-5*x^2-17*x-8)/(2*x^6-11*x^5+6*x^4-11*x^3-7*x^2-2*x+1) ogf] A283545 3.60084 [-(145*x^7+95*x^6+25*x^5-7*x^4-89*x^3-73*x^2-66*x-16)/(145*x^8-50*x^7+75*x^6-82*x^5-24*x^4-62*x^3-19*x^2-2*x+1) ogf] A283551 5.78887 [-(f(x)+1)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+4*x^2+f(x)-4*x+1) ogf] A283573 7.57783 [-(-180*x^3-129*x^2-33*x-13)/(-36*x^4-35*x^3-15*x^2+7*x+2) lgdogf] A283573 7.93444 [2*x*(9*x+2)/(4*x^3+3*x^2+x-1)^2 ogf] A283583 5.22084 [(10*x^11+4*x^10-120*x^9-16*x^8+166*x^7+60*x^6+40*x^5+16*x^4+10*x^3+4*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1)/(16*x^4+1) ogf] A283584 5.43250 [-(256*x^11-256*x^10+84*x^9+16*x^8-47*x^7+15*x^6+x^5-x^4+x^3-x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^4+1)/(x^2+1) ogf] A283587 5.07110 [-(16*x^12-160*x^11+64*x^10+128*x^9-106*x^7-60*x^6-24*x^5-16*x^4-6*x^3-4*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1)/(16*x^4+1) ogf] A283588 5.36788 [-(256*x^12-80*x^11+16*x^10+4*x^9-77*x^7+15*x^6+3*x^5-x^4+3*x^3-x^2-x-1)/(x-1)/(2*x-1)/(x+1)/(x^4+1)/(x^2+1) ogf] A283589 4.77251 [-(7202699927100*f(x)+191361410740439)*(90*x^4+10*f(x)*x^2+x^3-11*f(x)*x-111*x^2+f(x)+11*x-1) ogf] A283589 5.08834 [{a(n+5)-11*a(n+4)+10*a(n+3),a(0)=1,a(1)=0,a(2)=101,a(3)=1110,a(4)=11110} ogf] A283589 9.22685 [-(90*x^4+x^3-111*x^2+11*x-1)/(10*x-1)/(x-1) ogf] A283590 5.00324 [(364498650855*f(x)-32530938472904)*(-900*x^4+10*f(x)*x^2+1000*x^3-11*f(x)*x-111*x^2+f(x)+11*x-1) ogf] A283590 5.33927 [{a(n+5)-11*a(n+4)+10*a(n+3),a(0)=1,a(1)=0,a(2)=101,a(3)=111,a(4)=1111} ogf] A283590 9.05648 [(900*x^4-1000*x^3+111*x^2-11*x+1)/(10*x-1)/(x-1) ogf] A283591 11.1990 [-(2*x^4+x^3-7*x^2+3*x-1)/(2*x-1)/(x-1) ogf] A283591 6.08448 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=1,a(1)=0,a(2)=5,a(3)=14,a(4)=30} ogf] A283591 6.71938 [(764*f(x)+18647)*(2*x^4+2*f(x)*x^2+x^3-3*f(x)*x-7*x^2+f(x)+3*x-1) ogf] A283592 11.3968 [(4*x^4-8*x^3+7*x^2-3*x+1)/(2*x-1)/(x-1) ogf] A283592 6.24110 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=1,a(1)=0,a(2)=5,a(3)=7,a(4)=15} ogf] A283592 6.72118 [-(211*f(x)+316)*(-4*x^4+2*f(x)*x^2+8*x^3-3*f(x)*x-7*x^2+f(x)+3*x-1) ogf] A283608 5.81492 [(45*x^11+x^10+x^9+x^8+x^7+x^6+5*x^5+10*x^4+10*x^3+10*x^2+10*x+5)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A283635 4.91076 [-4*x^3*(45*x^3+9*x^2-5*x+9)/(4*x^3+3*x^2+x-1)^3 ogf] A283641 10.4180 [-(10*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1) ogf] A283641 5.53973 [(364630*f(x)+47739)*(100*f(x)*x^3-100*f(x)*x^2-f(x)*x+10*x^2+f(x)-10*x-1) ogf] A283641 5.86559 [{a(n+3)-a(n+2)-100*a(n+1)+100*a(n),a(0)=1,a(1)=11,a(2)=101} ogf] A283642 12.5627 [-(4*x^2+4*x+3)/(4*x^3+4*x^2-x-1) lgdogf] A283642 17.8669 [-(2*x+1)/(x+1)/(2*x-1) ogf] A283642 9.45894 [(7*f(x)+2)*(2*f(x)*x^2+f(x)*x-f(x)+2*x+1) ogf] A283642 9.80500 [{a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=3} ogf] A283646 5.05667 [(256*x^15-128*x^11+128*x^10-128*x^9+152*x^7+72*x^6+40*x^5+16*x^4+10*x^3+4*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1)/(16*x^4+1) ogf] A283647 5.62245 [(128*x^15+8*x^11+8*x^10-4*x^9+7*x^7+9*x^6-x^5+x^4-x^3+x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^4+1)/(x^2+1) ogf] A283648 7.44101 [(110*x^5-21*x^4+x^3+110*x^2-10*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A283649 7.08378 [(11000*x^5-12000*x^4+1000*x^3+11*x^2-x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A283650 9.09093 [(6*x^5-5*x^4+x^3+6*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A283651 8.95777 [(24*x^5-32*x^4+8*x^3+3*x^2-x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A283660 5.26012 [4*x^4*(2*x-1)/(4*x^3-2*x^2+4*x-1)^3 ogf] A283660 7.61171 [-(-64*x^3+56*x^2-28*x+10)/(-8*x^4+8*x^3-10*x^2+6*x-1) lgdogf] A283678 5.48110 [{(16*n^3+72*n^2+108*n+54)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=2} ogf] A283679 4.29708 [-x*(x^2+x-1)*(x^4+3*x^3-x^2-3*x+1)/(x^8+7*x^7+10*x^6-13*x^5-21*x^4+13*x^3+10*x^2-7*x+1) ogf] A283692 6.72800 [-(8*x^4+14*x^3+3*x^2-4*x-4)/(2*x^2+x+1)/(4*x^3+x^2-4*x+1) ogf] A283707 7.95418 [-(90*x^5-109*x^4+120*x^3-121*x^2+11*x-1)/(10*x-1)/(x-1) ogf] A283708 7.98341 [(9000*x^5-8900*x^4-210*x^3+121*x^2-11*x+1)/(10*x-1)/(x-1) ogf] A283709 10.0354 [-(2*x^5-5*x^4+8*x^3-9*x^2+3*x-1)/(2*x-1)/(x-1) ogf] A283712 5.41089 [(110000*x^8-10000*x^7+1000*x^6-1000*x^4+1000*x^3+90*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(100*x^2+1) ogf] A283713 6.12285 [(11000*x^8-1000*x^7+1000*x^6-10*x^4+x^3-9*x^2+x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A283716 4.70104 [(178712599*f(x)+195691793)*(108*f(x)*x^3-139*f(x)*x^2+32*f(x)*x+139*x^2-f(x)-64*x+3) ogf] A283716 5.28866 [{-a(n+3)+32*a(n+2)-139*a(n+1)+108*a(n),a(0)=3,a(1)=32,a(2)=746} ogf] A283716 9.19767 [-(139*x^2-64*x+3)/(x-1)/(27*x-1)/(4*x-1) ogf] A283727 4.94088 [2*x^2*(2*x+1)*(2*x-1)*(4*x^2-5)/(2*x^2+x+1)^2/(4*x^3+x^2-4*x+1)^2 ogf] A283752 7.69082 [(2*x^2+1)*(24*x^6-8*x^5-8*x^4+4*x^3+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1) ogf] A283811 7.26957 [-(x-1)*(18*x^2-13*x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A283812 4.90740 [-(120*x^3-38*x^2-39*x-1)*(x-1)^2/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(7*x-1)/(5*x-1) ogf] A283813 4.71890 [(x-1)*(1200*x^4-1546*x^3+371*x^2+94*x+1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A283820 10.2625 [(f(x)*x-f(x)+1)^3 ogf] A283821 8.48174 [-(f(x)-1)*(f(x)*x-f(x)+1)^2 ogf] A283834 13.7468 [-1/(x+1)/(x^2+1)/(x^3+x^2+x-1) ogf] A283834 7.39217 [-(6*x^5+10*x^4+12*x^3+6*x^2+2*x)/(x^6+2*x^5+3*x^4+2*x^3+x^2-1) lgdogf] A283835 10.2386 [-1/(x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x-1) ogf] A283836 8.87917 [-1/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^5+x^4+x^3+x^2+x-1) ogf] A283837 7.43248 [-1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x-1) ogf] A283842 10.3513 [x^3*(3*x-2)/(2*x-1)/(5*x^2-5*x+1)/(x-1)^2 ogf] A283842 5.30669 [(4035*f(x)-34133)*(10*f(x)*x^5-35*f(x)*x^4+47*f(x)*x^3-3*x^4-30*f(x)*x^2+2*x^3+9*f(x)*x-f(x)) ogf] A283842 7.55368 [-(120*x^4-295*x^3+267*x^2-105*x+15)/(30*x^5-95*x^4+116*x^3-68*x^2+19*x-2) lgdogf] A283852 4.21399 [-(32*x^7-72*x^6+4*x^5+24*x^4+56*x^3+2*x^2-5*x-8)/(32*x^8-88*x^7+48*x^6+2*x^5+50*x^4-19*x^3+2*x^2-7*x+1) ogf] A283858 4.07819 [-(4171303*f(x)-2421174)*(6*f(x)*x^4+7*f(x)*x^3+f(x)*x^2+6*x^3+3*f(x)*x+9*x^2-f(x)+4*x+4) ogf] A283858 8.10342 [-(6*x^3+9*x^2+4*x+4)/(6*x^4+7*x^3+x^2+3*x-1) ogf] A283878 8.83815 [-x*(x^6+x^5+x^3-x^2-3*x-2)/(x^2+x+1)^2/(x-1)^2 ogf] A283879 5.59449 [-(x^10+3*x^9-3*x^8-2*x^7-4*x^5+5*x^4-3*x^2+3*x-4)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A283891 7.33192 [-(10000*x^8-x^7-x^6-x^5-x^4-x^3-x^2-9973*x-28)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A283892 7.33192 [-(10001*x^8-x^7-x^6-x^5-x^4-x^3-x^2-9974*x-28)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A283896 11.0605 [(364545*f(x)-33173594)*(f(x)*x^2+89*x^2-f(x)+2*x+91) ogf] A283896 11.3148 [{-a(n+3)+a(n+1),a(0)=91,a(1)=2,a(2)=180} ogf] A283896 12.9525 [-(2*x^2+360*x+2)/(89*x^4+2*x^3+2*x^2-2*x-91) lgdogf] A283896 19.3017 [-(89*x^2+2*x+91)/(x-1)/(x+1) ogf] A283897 14.6112 [-(91*x^2+2*x+93)/(x-1)/(x+1) ogf] A283897 8.3727 [(389390*f(x)-36213269)*(f(x)*x^2+91*x^2-f(x)+2*x+93) ogf] A283897 8.56517 [{-a(n+3)+a(n+1),a(0)=93,a(1)=2,a(2)=184} ogf] A283897 9.80487 [-(2*x^2+368*x+2)/(91*x^4+2*x^3+2*x^2-2*x-93) lgdogf] A283898 7.05394 [-4*(x^7+78*x^6+x^5+156*x^4-2*x^3-78*x^2-x-156)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A283899 7.05394 [-4*(x^7+100*x^6+x^5+200*x^4-2*x^3-100*x^2-x-200)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A283900 6.79465 [-2*(2*x^7+385*x^6+2*x^5+770*x^4-4*x^3-385*x^2-2*x-770)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A283901 4.98285 [(4*x^12-307*x^11-311*x^9+303*x^8-8*x^7-307*x^6+307*x^5-622*x^4+315*x^3+311*x^2+4*x+315)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A283902 7.26563 [-2*(351*x^7+2*x^6+702*x^5+2*x^4-351*x^3-2*x^2-702*x-4)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A283905 7.91702 [(24*x^8-8*x^7+8*x^6-2*x^4+x^3-x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A283918 12.9698 [(f(x)*x-f(x)+1)^3 ogf] A283920 5.87817 [-(2*f(x)*x+f(x)-3*x-1)*(f(x)*x-f(x)+1)^2 ogf] A283951 5.54765 [2*x^2*(x+1)^2/(6*x^4+7*x^3+x^2+3*x-1)^2 ogf] A283958 6.25757 [-(4*x^8+10*x^7+25*x^6-33*x^5-39*x^4-42*x^3+x^2+x+1)/(x-1)/(x^2+x+1)/(x^6-42*x^3+1) ogf] A283959 4.90303 [-(5*x^11+13*x^10+33*x^9+85*x^8-99*x^7-119*x^6-127*x^5-131*x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^8-131*x^4+1) ogf] A283971 8.75661 [x*(x^6+x^5+3*x^4+4*x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A284016 29.3551 [-4*x+1-f(x)^2 ogf] A284016 32.5002 [2/(4*x-1) lgdogf] A284016 8.75007 [{(n+2)*a(n+2)+(-2-4*n)*a(n+1),a(0)=-1,a(1)=2} ogf] A284032 3.56429 [(12096*x^5-9336*x^4-3670*x^3+2855*x^2+214*x+1)*(x-1)^2/(6*x-1)/(4*x-1)/(3*x-1)/(9*x-1)/(2*x-1)/(8*x-1)/(7*x-1)/(5*x-1) ogf] A284092 9.82968 [-(x^14-x^13+x^8+x^6-x+1)/(x^16-1) ogf_with_Euler_transform] A284093 8.93182 [-(-x^14+x^13-x^6)/(-x^16+1) ogf_with_Euler_transform] A284095 11.4620 [-(x^8-x+1)/(x^16-1) ogf_with_Euler_transform] A284122 10.0299 [-(-x^5-x^4-6*x^3+6*x^2+2*x-2)/(-x^6+x^4+2*x^2-3*x+1) lgdogf] A284122 13.1900 [2*x*(x^3+x-1)/(x^2+x-1)/(x-1)^2 ogf] A284122 4.88765 [{(n-1)*a(n)+a(n+1)+(-2*n+3)*a(n+2)+(n-2)*a(n+3),a(0)=0,a(1)=2,a(2)=4,a(3)=8,a(4)=12,a(5)=18} ogf] A284122 6.9773 [-(f(x)-41)*(f(x)*x^4-f(x)*x^3-2*x^4-2*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+2*x) ogf] A284125 4.98964 [2*x^2*(x^2+1)*(2*x^7-2*x^6-2*x^5-x^4+5*x^3-6*x^2+4*x-1)/(x^2+x-1)/(x^3+x^2+x-1)/(x^3-x^2+2*x-1)/(x-1)^2 ogf] A284177 4.86172 [(512*x^17+32*x^14+32*x^13-192*x^12+128*x^11+256*x^10-204*x^8+8*x^7+16*x^6+4*x^4+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1)/(16*x^4+1) ogf] A284178 5.23821 [(256*x^17+512*x^14+256*x^13-48*x^12+16*x^11+4*x^10-45*x^8+16*x^7+4*x^6+4*x^4+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(x^4+1)/(x^2+1) ogf] A284181 5.43250 [-(16*x^14-16*x^13-x^10-x^9-2*x^8-4*x^7+8*x^6-8*x^5+3*x^4-5*x^3-3*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1) ogf] A284182 4.89957 [-(1024*x^14-512*x^13-1024*x^10+256*x^9+64*x^8+16*x^7+8*x^6-4*x^5-18*x^4+5*x^3-3*x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A284204 3.78178 [{(-n+4)*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=5040} ogf] A284205 3.47945 [{(n-5)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=40320} ogf] A284206 3.19763 [{(n-6)*a(n+1)+(n+3)*a(n+2)-a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=362880} ogf] A284235 7.82877 [(10*x^5-11*x^4+x^3+10*x^2-10*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A284236 6.61434 [(10000*x^5-11000*x^4+1000*x^3+10*x^2-x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A284237 9.00259 [(2*x^5-3*x^4+x^3+2*x^2-2*x+1)/(x-1)/(2*x-1)/(x+1) ogf] A284238 9.07937 [(16*x^5-24*x^4+8*x^3+2*x^2-x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A284245 4.61140 [(16*x^16-16*x^14-x^12-2*x^11-3*x^10-6*x^9+4*x^8-16*x^7+11*x^6+22*x^5-4*x^4+7*x^3+2*x^2+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1) ogf] A284286 18.3677 [-(4*x+8)/(x^2-1) ogf_with_Euler_transform] A284286 99.9999 Evaluated at exp(-Pi) 2/Pi*GAMMA(3/4)^4 A284293 5.57261 [(4000*x^22+400*x^14+440*x^10+44*x^8+5*x^7+45*x^6+5*x^5+45*x^4+5*x^3+5*x^2+5*x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A284307 10.8502 [(x^4+x^3-2*x^2+3*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A284312 27.2677 [1/(x^3-1) ogf_with_Euler_transform] A284313 25.5761 [1/(x^4-1) ogf_with_Euler_transform] A284314 24.3506 [1/(x^5-1) ogf_with_Euler_transform] A284315 23.1470 [x/(x^3-1) ogf_with_Euler_transform] A284316 21.8172 [x^2/(x^4-1) ogf_with_Euler_transform] A284317 19.9216 [x^3/(x^5-1) ogf_with_Euler_transform] A284319 20.2476 [x/(x^5-1) ogf_with_Euler_transform] A284320 20.5208 [x^2/(x^5-1) ogf_with_Euler_transform] A284321 15.7528 [-(x^3+1)/(-x^5+1) ogf_with_Euler_transform] A284322 16.0341 [-(x^2+x)/(-x^5+1) ogf_with_Euler_transform] A284351 10.6924 [(100*x^2-9*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A284351 5.65049 [(7166*f(x)+256045)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x-100*x^2+f(x)+9*x-1) ogf] A284351 5.99146 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=1,a(2)=111} ogf] A284352 10.7385 [(x^2+9*x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A284352 5.36927 [-(3668300*f(x)+814201)*(100*f(x)*x^3-100*f(x)*x^2-f(x)*x-x^2+f(x)-9*x-1) ogf] A284352 5.86559 [{a(n+3)-a(n+2)-100*a(n+1)+100*a(n),a(0)=1,a(1)=10,a(2)=111} ogf] A284352 6.12285 [-(100*x^4+1800*x^3-599*x^2-202*x-10)/(100*x^5+800*x^4-801*x^3-108*x^2+8*x+1) lgdogf] A284353 12.7250 [(4*x^2-x+1)/(x-1)/(2*x-1)/(x+1) ogf] A284353 6.86925 [(14*f(x)+37)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-4*x^2+f(x)+x-1) ogf] A284353 6.93058 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A284353 7.92066 [-(-8*x^4+4*x^3-15*x^2+10*x+1)/(-8*x^5+6*x^4+5*x^3-5*x^2+3*x-1) lgdogf] A284354 12.5530 [(x^2+x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A284354 6.65857 [(236*f(x)+313)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x-x^2+f(x)-x-1) ogf] A284354 6.83693 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A284354 9.00866 [-(-4*x^4-8*x^3-9*x^2+10*x+2)/(-4*x^5+x^3+4*x^2-1) lgdogf] A284359 16.2191 [-(x^3-2*x^2-2)/(x^2+1) ogf_with_Euler_transform] A284370 5.03832 [-(2*x^26-2*x^18-x^12-x^11-5*x^10-x^9-3*x^8-x^7-3*x^6-x^5-3*x^4-x^3-5*x^2-x-2)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A284403 8.23826 [-(10*x^5+89*x^4+x^3-111*x^2+11*x-1)/(10*x-1)/(x-1) ogf] A284404 7.40880 [-(10000*x^5-10900*x^4+1000*x^3-111*x^2+11*x-1)/(10*x-1)/(x-1) ogf] A284405 9.73711 [-(16*x^5-20*x^4+8*x^3-7*x^2+3*x-1)/(2*x-1)/(x-1) ogf] A284429 9.32791 [-(3*x^5+x^4-x^3-3*x^2-x-2)/(x^2+x+1)^2/(x-1)^2 ogf] A284467 7.99049 [-(x^4-x^3-x+1)/(-x^6-2*x^5-3*x^4-4*x^3-3*x^2-2*x-1) ogf_with_Euler_transform] A284474 8.13035 [-(-x^4+x^3+x-1)/(-x^6-2*x^5-3*x^4-4*x^3-3*x^2-2*x-1) ogf_with_Euler_transform] A284479 5.45316 [(10000*x^8-10000*x^7+1000*x^5-1000*x^4+1010*x^3+90*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(100*x^2+1) ogf] A284480 6.06961 [(10000*x^8-1000*x^7+100*x^5-10*x^4+101*x^3-9*x^2+x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A284481 7.22392 [(16*x^8-16*x^7+8*x^5-8*x^4+10*x^3+2*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1) ogf] A284482 7.61005 [(16*x^8-8*x^7+4*x^5-2*x^4+5*x^3-x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A284483 7.52189 [(10*x^5-11*x^4+x^3+110*x^2-10*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A284484 6.61434 [(10000*x^5-11000*x^4+1000*x^3+11*x^2-x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A284485 9.20097 [(16*x^5-24*x^4+8*x^3+3*x^2-x+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A284494 5.90338 [{(-16*n^2-16*n-4)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=4} ogf] A284499 21.7349 [1/(x^7-1) ogf_with_Euler_transform] A284500 18.2837 [x/(x^7-1) ogf_with_Euler_transform] A284501 18.5386 [x^2/(x^7-1) ogf_with_Euler_transform] A284502 18.3867 [x^3/(x^7-1) ogf_with_Euler_transform] A284503 17.7293 [x^4/(x^7-1) ogf_with_Euler_transform] A284504 17.9308 [x^5/(x^7-1) ogf_with_Euler_transform] A284517 14.8607 [-(6*x^3+7*x^2+5*x+1)/(x-1)/(x^2+x+1)/(x+1) ogf] A284517 8.26925 [(367*f(x)-2262)*(f(x)*x^4+f(x)*x^3+6*x^3-f(x)*x+7*x^2-f(x)+5*x+1) ogf] A284518 8.39200 [-(24*x^5+25*x^4+35*x^3+20*x^2+11*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A284540 5.62907 [(100*x^8+1010*x^7-100*x^6-1000*x^5+990*x^3+100*x^2+10*x+1)/(x-1)/(10*x+1)/(10*x-1)/(100*x^2+1) ogf] A284541 5.72135 [(1000000*x^8+1010000*x^7-10000*x^6-100*x^5-99*x^3+x^2+x+1)/(x-1)/(10*x-1)/(x+1)/(x^2+1) ogf] A284542 7.36285 [(4*x^8+10*x^7-4*x^6-8*x^5+6*x^3+4*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(4*x^2+1) ogf] A284543 7.43009 [(64*x^8+80*x^7-16*x^6-4*x^5-3*x^3+x^2+x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A284585 23.0707 [1/(x^6-1) ogf_with_Euler_transform] A284586 18.4348 [x^4/(x^6-1) ogf_with_Euler_transform] A284628 9.47268 [-(x^6-x^5+3*x^4+3*x^2-x+1)/(x^8-2*x^4+1) ogf_with_Euler_transform] A284647 8.41049 [-x*(3*x^2-5*x+1)/(x-1)/(x^2-7*x+1)/(x^2-3*x+1) ogf] A284663 5.76823 [-(x-1)*(x+1)*(3*x^4+2*x^3+6*x^2+6*x+3)/(x^2+1)/(x^5+x^4-2*x^3-2*x^2-3*x+1) ogf] A284670 4.72600 [-(x^26-x^25+x^20-x^19+3*x^18-3*x^17+7*x^14-7*x^13+x^11-x^9+2*x^8-x^7-x^6+3*x^3-x^2+16*x-19)/(x-1)^2 ogf] A284672 8.13759 [-(x^28-x^27+x^7-x^6+x^4+5*x^3+2*x^2+9*x-18)/(x-1)^2 ogf] A284699 9.39138 [-(5*x^4+4*x^3+3*x^2+6*x+3)/(x^5+x^4+x^3+3*x^2+3*x-1) ogf] A284700 4.18038 [-(304876611*f(x)-6151495843)*(4*f(x)*x^4-f(x)*x^3-18*f(x)*x^2+x^3-13*f(x)*x+36*x^2+f(x)+39*x-4) ogf] A284700 8.36075 [-(x^3+36*x^2+39*x-4)/(4*x^4-x^3-18*x^2-13*x+1) ogf] A284701 5.62309 [-(8*x^7+14*x^6-6*x^5-25*x^4-12*x^3-2*x-2)/(x^8+2*x^7-x^6-5*x^5-3*x^4-x^2-2*x+1) ogf] A284702 5.72245 [-(7*x^6+6*x^5-5*x^4-4*x^3-15*x^2-2*x-3)/(x^2+1)/(x^5+x^4-2*x^3-2*x^2-3*x+1) ogf] A284703 5.44268 [-(8*x^7+7*x^6-6*x^5-10*x^4+4*x^3-3*x^2-4*x-1)/(x^2-x+1)/(x^3+2*x^2+x-1)/(x^3-x-1) ogf] A284709 6.57954 [(x^7-4*x^5-2*x^4+4*x^3+2*x^2-x-2)/(x-1)/(x+1)/(x^3+x^2-1)^2 ogf] A284710 4.30510 [-(2*x^7+x^6-4*x^5-8*x^4-8*x^3+3*x^2-3)/(x^2-x+1)/(x^3+2*x^2+x-1)/(x^3-x-1) ogf] A284778 8.62313 [2*I/x/(3*x-1)^(1/2)/(x+1)^(1/2)-(3*x+2)/(x+1)/x lgdogf] A284787 7.93208 [-2*(x^11-x^10+x^9-x^8+x^7-x^5+2*x^4+12*x-15)/(x-1)^2 ogf] A284808 4.67505 [-7*(57*x^15-7*x^14-7*x^13-7*x^12-7*x^11-7*x^10-7*x^9-6*x^8-74*x^7-x^6-x^5-x^4-x^3-x^2-x-2)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A284814 2.96386 [37058549*x^7+11121217*x^6+1032327*x^5+11311*x^3 ogf_with_Euler_transform] A284816 11.0248 [1/2*(x^2+2)/(x-1)^4 egf] A284816 11.3694 [-(-2*x^2-2*x-8)/(-x^3+x^2-2*x+2) lgdegf] A284816 4.30556 [{(-n^2-5*n-6)*a(n+1)+(n^2+10*n+20)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=21} ogf] A284816 5.47098 [(12177*f(x)+6785)*(2*f(x)*x^4-8*f(x)*x^3+12*f(x)*x^2-8*f(x)*x-x^2+2*f(x)-2) egf] A284838 3.00915 [{(4608*n+9984)*a(n+1)+(-1824*n-2800)*a(n+2)+(192*n+248)*a(n+3)+(-6*n-7)*a(n+4),a(0)=0,a(1)=40,a(2)=1088,a(3)=21888} ogf] A284838 4.54486 [(11979*f(x)+20362)*(3072*f(x)*x^4-1984*f(x)*x^3+432*f(x)*x^2-36*f(x)*x+352*x^2+f(x)-40*x) ogf] A284838 6.15892 [-(-101376*x^3+33664*x^2-3776*x+136)/(-33792*x^4+17216*x^3-2928*x^2+204*x-5) lgdogf] A284838 8.55849 [-8*x*(44*x-5)/(16*x-1)/(12*x-1)/(4*x-1)^2 ogf] A284840 13.8315 [-1/(x^5-5*x^4+8*x^3-7*x^2+5*x-1) ogf] A284840 7.40477 [-(5*x^4-20*x^3+24*x^2-14*x+5)/(x^5-5*x^4+8*x^3-7*x^2+5*x-1) lgdogf] A284843 3.59166 [{(n^2+10*n+21)*a(n+1)+(-n^2-11*n-28)*a(n+3)+(n+4)*a(n+4),a(0)=3,a(1)=12,a(2)=55,a(3)=318} ogf] A284843 7.85939 [-(x^4-x^3+5*x^2+7*x+12)/(x^4-2*x^3+4*x^2-3) lgdegf] A284844 8.15504 [-(x^4+x^3+6*x^2+17*x+35)/(x^4-x^3+3*x^2+5*x-8) lgdegf] A284845 8.51785 [-(x^4+3*x^3+9*x^2+29*x+78)/(x^4+2*x^2+12*x-15) lgdegf] A284850 10.9162 [-x*(11*x-5)/(4*x-1)/(3*x-1)/(x-1)^2 ogf] A284850 3.63873 [{(72*n+156)*a(n+1)+(-114*n-175)*a(n+2)+(48*n+62)*a(n+3)+(-6*n-7)*a(n+4),a(0)=0,a(1)=5,a(2)=34,a(3)=171} ogf] A284850 5.49793 [(11979*f(x)+10181)*(12*f(x)*x^4-31*f(x)*x^3+27*f(x)*x^2-9*f(x)*x+11*x^2+f(x)-5*x) ogf] A284850 8.01296 [-(-396*x^3+526*x^2-236*x+34)/(-132*x^4+269*x^3-183*x^2+51*x-5) lgdogf] A284859 21.9063 [1+3*exp(3*x) lgdegf] A284860 17.6935 [1-3*exp(3*x) lgdegf] A284864 22.2808 [2+3*exp(3*x) lgdegf] A284865 18.1616 [2-3*exp(3*x) lgdegf] A284891 4.14085 [(31111020*x^8-59111010*x^7+25200000*x^6+2520000*x^5+252000*x^4+25200*x^3+2520*x^2+272*x-3)/(100*x-1)/(x-1)^2 ogf] A284896 9.02516 [-(x^4+3*x^3+6*x^2+3*x+1)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A284897 6.60989 [-(-x^6-7*x^5-23*x^4-28*x^3-23*x^2-7*x-1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A284965 6.90218 [-x^5*(x^4-x^2-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A284968 8.96307 [3/2*I/x/(4*x-1)^(1/2)-1/2*(7*x-3)/(x-1)/x lgdogf] A284985 10.8517 [-(2*x-576)/(x^2-576*x+1) lgdogf] A284985 14.1072 [24*x/(x^2-576*x+1) ogf] A284985 6.71773 [{a(n+2)-576*a(n+1)+a(n),a(0)=0,a(1)=24} ogf] A284985 9.10143 [-f(x)*x^2+576*f(x)*x-f(x)+24*x ogf] A285009 13.1254 [-(-4*x^2+12*x-17)/(-4*x^3+14*x^2-19*x+9) lgdogf] A285009 14.3956 [-(4*x^2-10*x+9)/(x-1)^3 ogf] A285009 7.56377 [(2349*f(x)+3499)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-10*x+9) ogf] A285009 7.82917 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=17,a(2)=28} ogf] A285043 11.0438 [-(-24*x-18)/(-48*x^2+8*x+1) lgdogf] A285043 3.63378 [{(n+3)*a(n+3)+(-2+8*n)*a(n+2)+(-72-48*n)*a(n+1),a(0)=1,a(1)=18,a(2)=102} ogf] A285043 5.68926 [64*f(x)^2*x^3-48*f(x)^2*x^2+12*f(x)^2*x-f(x)^2+144*x^2+24*x+1 ogf] A285044 8.75821 [-(160*x^2+400*x+50)/(320*x^3+80*x^2-36*x-1) lgdogf] A285045 4.10243 [{(-32*n^2-16*n)*a(n)+(16*n^2+32*n+114)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=98} ogf] A285045 6.57227 [-(-896*x^3-4704*x^2-1960*x-98)/(-1792*x^4-1792*x^3+224*x^2+80*x+1) lgdogf] A285046 3.20978 [{(-32*n^2-16*n)*a(n)+(16*n^2+32*n+178)*a(n+1)+(-2*n^2-7*n-6)*a(n+2),a(0)=1,a(1)=162} ogf] A285048 15.8365 [-(3*x^4+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285049 15.2790 [-(4*x^5+1)/(-x^10+2*x^5-1) ogf_with_Euler_transform] A285050 14.1587 [-(-2*x^3-1)/(-x^6+2*x^3-1) ogf_with_Euler_transform] A285064 23.8722 [1+4*exp(4*x) lgdegf] A285065 17.1146 [1-4*exp(4*x) lgdegf] A285069 13.5931 [-(-x^2-1)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A285070 13.4392 [-(-3*x^4-1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285071 12.8952 [-(-4*x^5-1)/(-x^10+2*x^5-1) ogf_with_Euler_transform] A285131 14.2623 [-(-x^6-3*x^2)/(x^8-2*x^4+1) ogf_with_Euler_transform] A285132 13.4223 [-(-x^8-4*x^3)/(x^10-2*x^5+1) ogf_with_Euler_transform] A285173 15.7081 [-(x^2+x-3)/(x-1)^2 ogf] A285173 17.3444 [-(3*x-5)/(x^3-4*x+3) lgdogf] A285173 8.16205 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=3,a(1)=5,a(2)=6} ogf] A285173 8.85669 [(2*f(x)+19)*(f(x)*x^2-2*f(x)*x+x^2+f(x)+x-3) ogf] A285184 16.5007 [(x^2-x-1)/(x^3+2*x-1) ogf] A285184 9.10976 [-(x^4-2*x^3-5*x^2+2*x-3)/(x^5-x^4+x^3-3*x^2-x+1) lgdogf] A285184 9.30359 [(5*f(x)+11)*(f(x)*x^3+2*f(x)*x-x^2-f(x)+x+1) ogf] A285184 9.30359 [{a(n+3)-2*a(n+2)-a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A285185 10.2341 [2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-4*x^2+f(x)-2*x ogf] A285185 11.4461 [-(8*x^3+2*x^2-4*x-4)/(4*x^4-2*x^3-6*x^2+1) lgdogf] A285185 15.2614 [2*x*(2*x+1)/(2*x^3-2*x^2-2*x+1) ogf] A285185 7.83695 [{a(n+3)-2*a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A285186 10.4895 [2*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)-x ogf] A285186 11.7317 [-(8*x^3+2*x^2-4*x-4)/(4*x^4-2*x^3-6*x^2+1) lgdogf] A285186 15.6423 [x*(2*x+1)/(2*x^3-2*x^2-2*x+1) ogf] A285186 8.03252 [{a(n+3)-2*a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A285187 6.29159 [-(x^7+2*x^6+x^5-3*x^4-4*x^3+3*x+1)/(x-1)/(x+1)/(x^3+x^2-1)^2 ogf] A285188 6.60510 [-x*(x^4+3*x^3+11*x^2+5*x+4)/(x+1)^3/(x-1)^5 ogf] A285193 8.58397 [-(x^6+x^5+2*x^4+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A285194 5.74108 [-(x^2+1)*(2*x^9+x^6+x^5-x^3+x^2+2*x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A285197 10.4162 [-(5*x^3-11*x^2+6*x-1)/(3*x-1)/(x-1)/(x^2-3*x+1) ogf] A285197 5.78676 [-(f(x)+4)*(3*f(x)*x^4-13*f(x)*x^3+16*f(x)*x^2+5*x^3-7*f(x)*x-11*x^2+f(x)+6*x-1) ogf] A285199 11.2169 [f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 egf] A285199 14.7222 [-(x-2)/(x^2-4*x+1) lgdegf] A285199 4.90740 [{(n^2+4*n+4)*a(n+1)+(-4*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=11} ogf] A285201 4.00923 [{(n^2+6*n+8)*a(n+1)+(-2*n^2-13*n-21)*a(n+2)+(n^2+8*n+16)*a(n+3)+(-n-3)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=14} ogf] A285210 4.69577 [(x^26-x^25+x^23-x^22+x^7+2*x^6+x^5+2*x^4+x^3+x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A285212 14.0143 [-(x^4+2*x)/(x^6-2*x^3+1) ogf_with_Euler_transform] A285213 12.7682 [-(x^6+3*x^2)/(x^8-2*x^4+1) ogf_with_Euler_transform] A285214 12.2022 [-(x^8+4*x^3)/(x^10-2*x^5+1) ogf_with_Euler_transform] A285215 9.96969 [-(x^6+2*x^5+3*x^4+3*x^2+2*x+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285247 11.5151 [-(-x^4-2*x^3-2*x-1)/(-x^6+2*x^3-1) ogf_with_Euler_transform] A285262 9.00701 [-(x^6+2*x^5+3*x^4+3*x^3+3*x^2+2*x+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285284 8.93349 [-(-x^6-2*x^5-3*x^4-3*x^2-2*x-1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285285 6.83471 [-(-x^8-2*x^7-3*x^6-4*x^5-4*x^3-3*x^2-2*x-1)/(-x^10+2*x^5-1) ogf_with_Euler_transform] A285286 8.91316 [-(-2*x^9+2*x^7-5*x^6-4*x^3+x-1)/(-x^12+2*x^6-1) ogf_with_Euler_transform] A285288 9.61508 [-(3*x^12-3*x^9+7*x^8+5*x^4-x+1)/(-x^16+2*x^8-1) ogf_with_Euler_transform] A285289 10.3001 [-(x^6+3*x^4+x^3+3*x^2+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285314 6.49899 [[2] ogf_with_Euler_transform] A285316 4.67158 [x*(6*x^38+11*x^37-11*x^36-11*x^30+5*x^29+x^22-4*x^21-4*x^8+4)/(6*x^37-6*x^30-3*x^22-4*x^7+4)/(x-1)^2 ogf] A285338 9.36947 [-(4*x^15-4*x^11+9*x^10+6*x^5-x+1)/(-x^20+2*x^10-1) ogf_with_Euler_transform] A285348 8.60267 [-(-2*x^6+3*x^5-3*x+2)/(-x^8-x^6-x^4-x^2-1) ogf_with_Euler_transform] A285349 10.2926 [-(2*x^6-3*x^5+3*x-2)/(-x^8-x^6-x^4-x^2-1) ogf_with_Euler_transform] A285355 11.3148 [-(-2*x^2+2)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A285361 10.7420 [-x*(3*x+1)/(3*x-1)/(2*x-1)/(x-1)^3 ogf] A285361 9.49290 [-(-72*x^3+33*x^2+26*x-11)/(-18*x^4+27*x^3-7*x^2-3*x+1) lgdogf] A285391 10.6170 [-(-12*x^2+24*x-8)/(-12*x^3+21*x^2-10*x+1) lgdogf] A285391 15.9256 [-(x-1)/(12*x^2-9*x+1) ogf] A285391 8.51834 [(3*f(x)+1)*(12*f(x)*x^2-9*f(x)*x+f(x)+x-1) ogf] A285391 8.82622 [{-a(n+2)+9*a(n+1)-12*a(n),a(0)=1,a(1)=8} ogf] A285392 13.3945 [(3*x-1)*(x-1)/(12*x^2-9*x+1) ogf] A285392 6.95484 [{a(n+3)-9*a(n+2)+12*a(n+1),a(0)=1,a(1)=5,a(2)=36} ogf] A285392 7.3061 [-(-2+27*f(x))*(12*f(x)*x^2-9*f(x)*x-3*x^2+f(x)+4*x-1) ogf] A285392 9.27312 [-(21*x^2-18*x+5)/(-36*x^4+75*x^3-51*x^2+13*x-1) lgdogf] A285393 13.8728 [-(96*x-20)/(48*x^2-20*x+1) lgdogf] A285393 20.6111 [1/(48*x^2-20*x+1) ogf] A285393 8.48692 [{-a(n+2)+20*a(n+1)-48*a(n),a(0)=1,a(1)=20} ogf] A285393 8.58795 [(19*f(x)+6)*(48*f(x)*x^2-20*f(x)*x+f(x)-1) ogf] A285394 12.1910 [(24*x^2-13*x+1)/(48*x^2-20*x+1) ogf] A285394 6.55555 [{a(n+3)-20*a(n+2)+48*a(n+1),a(0)=1,a(1)=7,a(2)=116} ogf] A285394 6.74648 [-(-43+92*f(x))*(48*f(x)*x^2-20*f(x)*x-24*x^2+f(x)+13*x-1) ogf] A285394 8.27248 [-(144*x^2-48*x+7)/(-1152*x^4+1104*x^3-332*x^2+33*x-1) lgdogf] A285395 10.6086 [-(24*x^2-13*x+1)/(324*x^3-195*x^2+28*x-1) ogf] A285395 5.96188 [(377*f(x)+96)*(324*f(x)*x^3-195*f(x)*x^2+28*f(x)*x+24*x^2-f(x)-13*x+1) ogf] A285395 6.01157 [-(-7776*x^4+8424*x^3-2835*x^2+342*x-15)/(-7776*x^5+8892*x^4-3531*x^3+583*x^2-41*x+1) lgdogf] A285395 6.01157 [{a(n+3)-28*a(n+2)+195*a(n+1)-324*a(n),a(0)=1,a(1)=15,a(2)=249} ogf] A285396 5.20267 [-(2351*f(x)-146)*(324*f(x)*x^3-195*f(x)*x^2+28*f(x)*x+6*x^2-f(x)-7*x+1) ogf] A285396 5.41944 [{-a(n+3)+28*a(n+2)-195*a(n+1)+324*a(n),a(0)=1,a(1)=21,a(2)=399} ogf] A285396 9.85353 [-(6*x-1)*(x-1)/(324*x^3-195*x^2+28*x-1) ogf] A285397 10.6418 [-(3*x-1)^2/(216*x^3-195*x^2+32*x-1) ogf] A285397 5.80463 [(8251*f(x)+261)*(216*f(x)*x^3-195*f(x)*x^2+32*f(x)*x+9*x^2-f(x)-6*x+1) ogf] A285397 5.85300 [{a(n+3)-32*a(n+2)+195*a(n+1)-216*a(n),a(0)=1,a(1)=26,a(2)=646} ogf] A285397 7.47191 [-(648*x^3-648*x^2+294*x-26)/(648*x^4-801*x^3+291*x^2-35*x+1) lgdogf] A285398 4.83735 [{-a(n+4)+32*a(n+3)-195*a(n+2)+216*a(n+1),a(0)=1,a(1)=19,a(2)=452,a(3)=10948} ogf] A285398 5.01136 [-(-6884+147685*f(x))*(216*f(x)*x^3-195*f(x)*x^2-27*x^3+32*f(x)*x+39*x^2-f(x)-13*x+1) ogf] A285398 9.04648 [(x-1)*(3*x-1)*(9*x-1)/(216*x^3-195*x^2+32*x-1) ogf] A285399 14.5942 [-14*f(x)*x+f(x)+x-1 ogf] A285399 17.2136 [-13/(-14*x^2+15*x-1) lgdogf] A285399 17.6666 [(x-1)/(14*x-1) ogf] A285399 9.07205 [{a(n+2)-14*a(n+1),a(0)=1,a(1)=13} ogf] A285400 14.5775 [-21*f(x)*x+f(x)+3*x-1 ogf] A285400 17.1940 [-18/(-63*x^2+24*x-1) lgdogf] A285400 17.6465 [(3*x-1)/(21*x-1) ogf] A285400 9.06170 [{a(n+2)-21*a(n+1),a(0)=1,a(1)=18} ogf] A285407 4.03906 [(x^23-x^20-x^18-2*x^16-x^14+x^13+x^11-x^10+x^7+x^5+x^3-1)/(x^23+x^22-2*x^16-x^15-x^14+x^11-x^10-x^9+x^5+x^3+x^2-1) ogf] A285440 10.9537 [(x^2+x+1)*(3*x^2-2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A285441 8.61899 [-(-x^6+x^4-x^2+1)/(x^8+x^6+x^4+x^2+1) ogf_with_Euler_transform] A285442 11.5904 [-(-2*x^2+2)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A285443 11.6755 [-(-3*x^2+3)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A285444 11.0521 [-(-4*x^2+4)/(-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A285445 11.9575 [-(x^3+2*x^2+x+1)/(x^4+x^3-x-1) ogf_with_Euler_transform] A285458 9.03266 [-(x^6+x^5+3*x^4+3*x^3+3*x^2+x+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285462 8.74856 [-(x^6+3*x^5+3*x^4+5*x^3+3*x^2+3*x+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A285466 5.69282 [(4*x^12+x^11+x^10+x^9+x^8+x^7+x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+4)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A285472 9.15309 [-(-x^7-x^6-x^5-x^4-2*x^3-x^2-x-1)/(-x^8+1) ogf_with_Euler_transform] A285473 11.6384 [-(100*x^2-11*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285473 6.71044 [-(13750*f(x)-6427)*(100*f(x)*x^4-101*f(x)*x^2+100*x^2+f(x)-11*x-1) ogf] A285474 11.2581 [-(x^2-11*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285474 6.46302 [-(22*f(x)+970589)*(100*f(x)*x^4-101*f(x)*x^2+x^2+f(x)-11*x-1) ogf] A285475 13.4340 [-(x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285475 7.7347 [-(6*f(x)+613)*(4*f(x)*x^4-5*f(x)*x^2+x^2+f(x)-3*x-1) ogf] A285476 13.6600 [-10/(-10*x-1) lgdogf] A285476 14.6357 [1+10*x-f(x) ogf] A285476 8.03529 [{a(n+2),a(0)=1,a(1)=10} ogf] A285484 4.47346 [(x+1)*(x^2-x+1)*(x^18+x^12+x^10-x^9+x^6+1)/(x^22+x^21+x^18+x^16+x^15+x^13+x^11+x^10+x^7+x^6+x^3+x+1) ogf] A285502 5.39218 [(2*x^12+x^11+3*x^10+x^9+5*x^8+2*x^4+x^3+3*x^2+x+1)/(x+1)/(x^8+1)/(x^2+1)/(x-1)^2 ogf] A285527 4.24394 [66*x^9+40*x^8+18*x^7 ogf_with_Euler_transform] A285527 5.46167 [-(f(x)-x-1)^3 ogf] A285540 8.22196 [(110*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A285541 8.21182 [(11*x^2-x-1)/(x-1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A285542 10.3169 [(6*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A285543 10.0808 [(3*x^2-x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A285551 5.32320 [-(x^8+x^7+2*x^6+3*x^5+7*x^4+3*x^3+6*x^2+2*x+1)/(x^3-2*x^2+3*x-1)/(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1) ogf] A285554 8.71369 [-(2*x^6+x^4-x^2-2)/(-x^8-x^6-x^4-x^2-1) ogf_with_Euler_transform] A285560 4.13394 [(10000*x^11-10000*x^10-100*x^9+100*x^8+1100*x^4-100*x^3+100*x^2-10*x-1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1)/(10*x^2+1) ogf] A285563 5.20956 [(128*x^11-64*x^10-128*x^9+64*x^8+6*x^4-2*x^3+x^2-x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1)/(2*x^2+1) ogf] A285612 10.9538 [(10*x^4-x^2+1)/(x-1)/(10*x^2-1) ogf] A285612 4.96573 [{a(n+5)-a(n+4)-10*a(n+3)+10*a(n+2),a(0)=1,a(1)=1,a(2)=10,a(3)=10,a(4)=110} ogf] A285612 6.20716 [(11*f(x)+18)*(10*f(x)*x^3-10*x^4-10*f(x)*x^2-f(x)*x+x^2+f(x)-1) ogf] A285613 4.63553 [{a(n+5)-10*a(n+4)-10*a(n+3)+100*a(n+2),a(0)=1,a(1)=10,a(2)=10,a(3)=100,a(4)=1100} ogf] A285613 5.52698 [-(11*f(x)-18)*(100*f(x)*x^3-1000*x^4-10*f(x)*x^2-10*f(x)*x+100*x^2+f(x)-1) ogf] A285613 9.70955 [(1000*x^4-100*x^2+1)/(10*x-1)/(10*x^2-1) ogf] A285623 6.49891 [-(2*x^19-2*x^11-3*x^5-x^4+2*x^3-3*x-1)/(x^4+1)/(x+1)/(x-1)^2 ogf] A285640 4.38951 [(x^16-2*x^15+x^14-x^12+2*x^11-3*x^10+3*x^9-3*x^8+2*x^7-x^6+x^4-2*x^3+3*x^2-4*x+2)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^3 ogf] A285643 7.33072 [-(1000*x^8-10*x^6-1000*x^5-90*x^3+100*x^2-10*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285644 6.77837 [-(100000*x^8-100000*x^6-100*x^5+90*x^3+x^2-x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285645 9.25509 [-(8*x^8-2*x^6-8*x^5-2*x^3+4*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285646 8.60277 [-(32*x^8-32*x^6-4*x^5+2*x^3+x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285647 6.24168 [-(1100*x^7-100*x^6-1011*x^5+x^4-90*x^3+100*x^2-10*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285648 5.85012 [-(110000*x^7-10000*x^6-110100*x^5+10000*x^4+90*x^3+x^2-x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285649 7.56039 [-(12*x^7-4*x^6-11*x^5+x^4-2*x^3+4*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285650 7.37345 [-(48*x^7-16*x^6-52*x^5+16*x^4+2*x^3+x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285659 4.95605 [-(x+1)*(x^19-x^18+x^16-x^15-x^9-x^8-x^6-x^5-x^3-x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A285665 7.80568 [-(2*x^6+3*x^5+x^2-x-2)/(x-1)/(x+1)/(x^2-x+1)/(2*x^3+2*x^2-1) ogf] A285675 13.1564 [-(-2*x^2-3*x-2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A285766 10.6721 [-x^2*(x^3+3*x^2-8*x+6)/(x-1)^3 ogf] A285766 10.8125 [-(6*x^2-10*x+10)/(x^4+2*x^3-11*x^2+14*x-6) lgdogf] A285766 4.44190 [{(50*n^2-15*n-35)*a(n+1)+(-73*n^2+172*n+210)*a(n+2)+(23*n^2-103*n-126)*a(n+3),a(0)=0,a(1)=0,a(2)=6} ogf] A285775 6.41191 [-(100*x^7-100*x^6-x^5+x^4-100*x^3+100*x^2-10*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285776 5.87758 [-(100000*x^7-10000*x^6-100000*x^5+10000*x^4-10*x^3+x^2-x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A285777 7.71628 [-(4*x^7-4*x^6-x^5+x^4-4*x^3+4*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285778 7.37345 [-(32*x^7-16*x^6-32*x^5+16*x^4-2*x^3+x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A285794 12.3849 [(x^2-x-1)/(3*x^3+2*x^2+x-1) ogf] A285794 6.56937 [(497*f(x)-508)*(3*f(x)*x^3+2*f(x)*x^2+f(x)*x-x^2-f(x)+x+1) ogf] A285794 6.74534 [{-a(n+3)+a(n+2)+2*a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A285794 8.12342 [-(3*x^4-6*x^3-12*x^2-2*x-2)/(3*x^5-x^4-4*x^3-4*x^2+1) lgdogf] A285795 4.27563 [{(n^3+7*n^2+14*n+8)*a(n)+(-2*n^2-11*n-13)*a(n+1)+(n+3)*a(n+2),a(0)=0,a(1)=0,a(2)=2} ogf] A285834 6.73222 [-(16*x^12-28*x^10+6*x^8+4*x^6-x^4-6*x^3-4*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A285835 6.14709 [-(256*x^12-448*x^10+192*x^8+16*x^6-16*x^4-6*x^3-x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A285841 7.11515 [-(100*x^6-x^4-110*x^3-100*x^2+11*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A285842 6.66863 [-(10000*x^6-10000*x^4-110*x^3-x^2+11*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A285869 11.0203 [x*(x^3-x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A285870 10.2415 [x^2*(x^4-x^3+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A285872 9.10276 [x*(x^5-x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A285880 5.15266 [-(x^6+2*x^5+3*x^4+4*x^3-5*x^2-2*x-7)/(x^7+x^6+3*x^5+x^4-5*x^3-3*x^2-7*x+1) ogf] A285927 19.1412 [-(-3*x-3)/(-x^3+1) ogf_with_Euler_transform] A285928 13.9167 [-(5*x^3+5*x^2+5*x+5)/(x^5-1) ogf_with_Euler_transform] A285932 12.6889 [-(-5*x^3-5*x^2-5*x-5)/(x^5-1) ogf_with_Euler_transform] A285945 7.11515 [-(100*x^6-x^4-110*x^3-100*x^2+11*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A285946 6.66863 [-(10000*x^6-10000*x^4-110*x^3-x^2+11*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A285955 6.49966 [-6*x*(x-1)*(x^4+11*x^3+27*x^2+11*x+1)/(x^2+2*x-1)/(x^2-2*x-1)/(x^2+14*x-1)/(x^2-14*x-1) ogf] A285956 8.51307 [-2*x^4*(17*x^3+3*x^2+3*x+1)/(x+1)^3/(x-1)^5 ogf] A285956 9.18076 [-(-85*x^4-52*x^3-78*x^2-20*x-5)/(-17*x^5-3*x^4+14*x^3+2*x^2+3*x+1) lgdogf] A285984 8.22644 [-22*x*(5*x^2+12*x+5)/(x-1)/(x^4-970*x^2+1) ogf] A285985 5.86669 [-9*x*(x^6+24*x^5+387*x^4+864*x^3+387*x^2+24*x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A285988 8.70661 [-(-2*x^4-7*x^3-12*x^2-7*x-2)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A285990 6.13115 [-(-2*x^6-15*x^5-46*x^4-60*x^3-46*x^2-15*x-2)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A285998 12.7958 [-(-18*x^2-10*x-4)/(-3*x^3-x^2+3*x+1) lgdogf] A285998 4.24384 [{(-n-4)*a(n+4)+(-5-3*n)*a(n+3)+(12+n)*a(n+2)+(21+3*n)*a(n+1),a(0)=1,a(1)=4,a(2)=7,a(3)=16} ogf] A285998 9.93559 [(3*x+1)/(x+1)^3/(x-1)^4 ogf] A286032 5.95842 [{(n+3)*a(n+1)+a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=-1} ogf] A286033 5.71278 [-4*f(x)^2*x^3-7*f(x)^2*x^2-2*f(x)^2*x-8*f(x)*x^2+f(x)^2-6*f(x)*x-x^2+2*f(x)-6*x ogf] A286035 6.46170 [-495*x*(37*x^2+388*x+37)/(x-1)/(x^2+970*x+1)/(x^2-970*x+1) ogf] A286062 12.8971 [-(2*x^2+x-2)/(x^3-x^2-2*x+1) ogf] A286062 6.72412 [-(28*f(x)-47)*(f(x)*x^3-f(x)*x^2-2*f(x)*x+2*x^2+f(x)+x-2) ogf] A286062 7.02431 [{a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A286062 8.55134 [-(2*x^4+2*x^3-3*x^2+3)/(2*x^5-x^4-7*x^3+2*x^2+5*x-2) lgdogf] A286175 10.1774 [-1/2*(5*x^3-11*x^2+2*x+8)/(x-1)^3 egf] A286175 3.63479 [{(837*n^3+1739*n^2+902*n)*a(n)+(1466*n^3+9441*n^2+17727*n+9804)*a(n+1)+(-1466*n^2-4414*n-2964)*a(n+2),a(0)=4,a(1)=13} ogf] A286175 5.56577 [(-12017+21088*f(x))*(2*f(x)*x^3-6*f(x)*x^2+5*x^3+6*f(x)*x-11*x^2-2*f(x)+2*x+8) egf] A286175 9.37392 [-(4*x^2-18*x+26)/(5*x^4-16*x^3+13*x^2+6*x-8) lgdegf] A286182 7.05821 [-(3*x^5+5*x^4+8*x^3-6*x^2+5*x-3)/(x-1)^2/(x^2+2*x-1)^2 ogf] A286183 6.62059 [-(2*x^5-9*x^4+15*x^3-12*x^2+9*x-3)/(x-1)^2/(x^2-3*x+1)^2 ogf] A286184 7.37485 [-(3*x-2)*(8*x^3-16*x^2+13*x-3)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A286185 7.05821 [-(x^5-3*x^4+4*x^3+2*x^2+3*x-3)/(x-1)^2/(x^2+2*x-1)^2 ogf] A286186 12.3563 [-(4*x^2-20*x+7)/(4*x-1)/(x-1)^2 ogf] A286186 6.49231 [(2305*f(x)+6188)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-20*x+7) ogf] A286186 6.72011 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=7,a(1)=22,a(2)=73} ogf] A286186 8.41860 [-(16*x^3-144*x^2+96*x-22)/(16*x^4-100*x^3+132*x^2-55*x+7) lgdogf] A286187 5.07265 [-(48*x^7-64*x^6+8*x^5-32*x^4+101*x^3-92*x^2+39*x-6)/(x-1)^2/(4*x^3+2*x^2-5*x+1)^2 ogf] A286188 7.37660 [-2*(3*x^4+x^3+10*x^2+5*x-3)/(2*x^2+3*x-1)/(x-1)^3 ogf] A286191 10.4503 [(14*x^2-11*x+3)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A286191 3.66767 [{(-48*n-104)*a(n+1)+(84*n+134)*a(n+2)+(-42*n-55)*a(n+3)+(6*n+7)*a(n+4),a(0)=3,a(1)=13,a(2)=55,a(3)=233} ogf] A286191 5.37235 [(150651*f(x)+71432)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-14*x^2+f(x)+11*x-3) ogf] A286191 6.75111 [-(224*x^4-348*x^3+232*x^2-85*x+13)/(112*x^5-284*x^4+276*x^3-133*x^2+32*x-3) lgdogf] A286264 11.9628 [-(x^3+x^2-x+3)/(x+1)/(x-1)^3 ogf] A286264 6.60349 [-(11*f(x)-15)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+x^2-f(x)-x+3) ogf] A286264 8.50965 [-(-x^4-4*x^3-2*x^2-12*x-5)/(-x^5-x^4+2*x^3-2*x^2-x+3) lgdogf] A286286 4.91029 [{(2*n+3)*a(n+1)+(-2*n-6)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A286311 12.4287 [-x*(2*x^2-x+1)/(x^2-x+1)/(x^2+x-1) ogf] A286311 6.78878 [-(f(x)-1)*(f(x)*x^4-f(x)*x^2+2*x^3+2*f(x)*x-x^2-f(x)+x) ogf] A286346 17.0485 [-(-12*x-24)/(x^2-1) ogf_with_Euler_transform] A286346 99.9999 Evaluated at exp(-Pi) 1/8*Pi^3/GAMMA(3/4)^12 A286350 12.4287 [-x*(x^2-2*x+2)/(x^2-x+1)/(x^2+x-1) ogf] A286350 6.78878 [-(4*f(x)+7)*(f(x)*x^4-f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)+2*x) ogf] A286350 7.76793 [-(-2*x^5+6*x^4-8*x^3+2*x-2)/(-x^6+2*x^5-x^4-4*x^3+7*x^2-6*x+2) lgdogf] A286355 5.59577 [(2*x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A286390 10.5965 [-x*(x^2-x+2)/(x^2-x+1)/(x^2-x-1) ogf] A286390 6.30306 [(3*f(x)-13)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+x^3-x^2-f(x)+2*x) ogf] A286399 12.9294 [-(-12*x^2-4*x-8)/(x^3+x^2+x+1) ogf_with_Euler_transform] A286399 99.9999 Evaluated at exp(-Pi) 1/1024*Pi^3/GAMMA(3/4)^12 A286429 10.9081 [-x^4*(7*x^2-21*x+16)/(x-1)^3 ogf] A286429 11.2242 [-(-7*x^2+28*x-27)/(-7*x^3+28*x^2-37*x+16) lgdogf] A286430 6.79876 [-2*x^4*(5*x^2-15*x+18)/(x-1)^3 ogf] A286430 7.09436 [-(-5*x^2+20*x-39)/(-5*x^3+20*x^2-33*x+18) lgdogf] A286437 12.7036 [-(-2*x^3+6*x+16)/(-x^4+2*x^3+2*x-3) lgdogf] A286437 3.93206 [{(11*n^2+79*n+114)*a(n+1)+(-20*n^2-80*n+36)*a(n+2)+(9*n^2+9*n-18)*a(n+3),a(0)=0,a(1)=9,a(2)=48,a(3)=153,a(4)=372} ogf] A286437 9.07399 [3*x*(x^3-x^2-x-3)/(x-1)^5 ogf] A286438 5.89176 [-x*(11*x^6-15*x^5-24*x^4-28*x^3+137*x^2+35*x+4)/(x-1)^7 ogf] A286439 4.10117 [x*(38*x^9-45*x^8-144*x^7-306*x^6+1674*x^5-770*x^4-1552*x^3-558*x^2-16*x-1)/(x-1)^9 ogf] A286440 4.18075 [-6*(20*x^10-14*x^9-76*x^8-627*x^7+2379*x^6-789*x^5-4419*x^4+1703*x^3+5429*x^2+1343*x+91)*x/(x-1)^11 ogf] A286444 8.15168 [x*(x^3-5*x^2-x-3)/(x+1)^2/(x-1)^5 ogf] A286444 8.55926 [-(4*x^4-22*x^3-18*x^2-34*x-10)/(x^5-5*x^4-2*x^3+2*x^2+x+3) lgdogf] A286445 4.12584 [-x*(2*x^11+5*x^10-5*x^9-22*x^8-39*x^7+44*x^6+121*x^5+188*x^4+121*x^3+55*x^2+8*x+2)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A286481 5.39486 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=1003062289999939142,a(1)=1003062299899939142,a(2)=1003062389989939142} ogf] A286481 8.44856 [-2*(501531099954969571*x^2-4950000000*x-501531144999969571)/(x-1)^2/(x+1) ogf] A286507 10.3453 [(110*f(x)-109)*(10*f(x)*x^2-f(x)+x+1) ogf] A286507 10.9538 [-(-10*x^2-20*x-1)/(-10*x^3-10*x^2+x+1) lgdogf] A286507 11.4594 [{-a(n+2)+10*a(n),a(0)=1,a(1)=1} ogf] A286507 17.7348 [-(x+1)/(10*x^2-1) ogf] A286508 10.1363 [-(-100*x^2-20*x-10)/(-100*x^3-10*x^2+10*x+1) lgdogf] A286508 11.0578 [{a(n+2)-10*a(n),a(0)=1,a(1)=10} ogf] A286508 16.9724 [-(10*x+1)/(10*x^2-1) ogf] A286508 9.86235 [-(11*f(x)+8)*(10*f(x)*x^2-f(x)+10*x+1) ogf] A286519 5.05801 [{a(n+5)-11*a(n+4)+10*a(n+3),a(0)=1,a(1)=11,a(2)=101,a(3)=1111,a(4)=11111} ogf] A286519 5.17041 [-(1009801010*f(x)+10984836901)*(100*x^4+10*f(x)*x^2-110*x^3-11*f(x)*x+10*x^2+f(x)-1) ogf] A286519 9.69451 [-(100*x^4-110*x^3+10*x^2-1)/(10*x-1)/(x-1) ogf] A286521 11.9419 [-(4*x^4-6*x^3+2*x^2-1)/(2*x-1)/(x-1) ogf] A286521 6.06426 [{a(n+5)-3*a(n+4)+2*a(n+3),a(0)=1,a(1)=3,a(2)=5,a(3)=15,a(4)=31} ogf] A286521 7.05659 [(586*f(x)+6533)*(4*x^4+2*f(x)*x^2-6*x^3-3*f(x)*x+2*x^2+f(x)-1) ogf] A286655 6.54405 [-x*(x^2+1)*(x^12+x^7-x^5+x^4+x^3-x^2+1)/(x-1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A286716 11.0494 [x^2*(x^4+x+1)/(x^4+x^3+x^2+x+1)/(x+1)/(x-1)^2 ogf] A286717 10.0887 [x*(x^4-x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A286719 18.0359 [-1/(x-1)/(3*x-1)/(9*x-1)/(7*x-1)/(5*x-1) ogf] A286719 9.62932 [-(-4725*x^4+6756*x^3-2850*x^2+460*x-25)/(-945*x^5+1689*x^4-950*x^3+230*x^2-25*x+1) lgdogf] A286723 4.77875 [{(-16*n^2-88*n-121)*a(n+1)+(8*n+26)*a(n+2)-a(n+3),a(0)=1,a(1)=10,a(2)=131} ogf] A286725 10.0313 [-(24*x^2+72*x+18)/(8*x^3+12*x^2-6*x-1) lgdegf] A286725 5.93154 [{(-2*n^2-16*n-32)*a(n+1)+(n+2)*a(n+2),a(0)=1,a(1)=18} ogf] A286725 8.31862 [-(4*x^2+8*x+1)/(2*x-1)^5 egf] A286747 13.5618 [x^2+x^17*(x-1) ogf_with_Euler_transform] A286747 6.07888 [-x^2*(x+1)*(x^2-x+1)*(x^6+x^3+1)*(x^6-x^3+1)/(x-1)/(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A286770 7.88898 [-(100*x^6-101*x^4-100*x^3+101*x^2-10*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A286771 6.86522 [-(10000*x^6-10100*x^4-10*x^3+101*x^2-x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A286772 10.1227 [-(4*x^6-5*x^4-4*x^3+5*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A286773 9.25151 [-(8*x^5-4*x^4-8*x^3+3*x^2+x-1)/(x-1)/(2*x-1)/(x+1) ogf] A286778 11.4087 [-(-48*x^3+16*x^2+34*x-11)/(-16*x^4+20*x^3-5*x+1) lgdogf] A286778 13.0864 [2*x*(2*x+1)/(4*x-1)/(x-1)/(2*x-1)^2 ogf] A286778 4.36214 [{(16*n+56)*a(n+1)+(-28*n-90)*a(n+2)+(14*n+39)*a(n+3)+(-2*n-5)*a(n+4),a(0)=0,a(1)=2,a(2)=22,a(3)=142} ogf] A286778 6.40199 [-(10341*f(x)+5186)*(16*f(x)*x^4-36*f(x)*x^3+28*f(x)*x^2-9*f(x)*x-4*x^2+f(x)-2*x) ogf] A286810 12.3036 [-(3*x^3-15*x^2+x+1)/(x^2-7*x+1)/(x-1) ogf] A286810 6.37964 [{-a(n+4)+8*a(n+3)-8*a(n+2)+a(n+1),a(0)=1,a(1)=9,a(2)=49,a(3)=324} ogf] A286810 6.72854 [(10035*f(x)+30238)*(f(x)*x^3-8*f(x)*x^2+3*x^3+8*f(x)*x-15*x^2-f(x)+x+1) ogf] A286810 7.55484 [-(9*x^4-46*x^3+124*x^2-46*x+9)/(3*x^6-39*x^5+145*x^4-130*x^3+15*x^2+7*x-1) lgdogf] A286812 14.6410 [-(209*x-104)/(2*x-1)/(x-1) ogf] A286812 7.55166 [(107*f(x)-21737)*(2*f(x)*x^2-3*f(x)*x+f(x)+209*x-104) ogf] A286812 8.34195 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=104,a(1)=103} ogf] A286812 9.19754 [-(-418*x^2+416*x-103)/(-418*x^3+835*x^2-521*x+104) lgdogf] A286813 9.34406 [-(-2*x^8-x^7-1)/(x^9+x^8+x+1) ogf_with_Euler_transform] A286814 10.4245 [(3*x^3+2*x^2-5*x+2)/(x^2+2*x-1)^2 ogf] A286814 5.73345 [(76*f(x)-123)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-3*x^3-4*f(x)*x-2*x^2+f(x)+5*x-2) ogf] A286814 8.27508 [-(-3*x^4+2*x^3+6*x^2-2*x-3)/(-3*x^5-8*x^4+4*x^3+10*x^2-9*x+2) lgdogf] A286823 4.03471 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=10,a(2)=111,a(3)=1110,a(4)=11101,a(5)=111110} ogf] A286823 8.83551 [(100*x^5-10*x^4+10*x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A286824 3.88400 [{a(n+4)-a(n+3)-100*a(n+2)+100*a(n+1),a(0)=1,a(1)=1,a(2)=111,a(3)=111,a(4)=10111,a(5)=11111} ogf] A286824 7.95295 [(1000*x^5-1000*x^4+10*x^2+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A286832 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A286832 5.96585 [(90000*x^8-10000000*x^6+1)/(10*x-1)/(10000*x^8+10000000*x^6-1) ogf] A286850 8.39356 [-2*(4*x^5+4*x^4-2*x^3-x^2-2*x-1)/(8*x^6-4*x^4-2*x^3-2*x^2+1) ogf] A286864 5.81671 [(11090000*x^8+21100*x^4+11)/(10*x-1)/(11110000*x^8-10100*x^4-11) ogf] A286879 5.97602 [-(2*x^8-x^7-29*x^6+75*x^5-94*x^4+67*x^3-28*x^2+7*x-2)/(x-1)^6 ogf] A286887 9.47335 [-(x+1)*(x^4-x^2+x-2)/(x^6-x^4-x^2-x+1) ogf] A286902 8.14660 [(15*x^4+6*x^3+x^2-x-1)/(5*x^5+4*x^4+3*x^3+2*x^2+x-1) ogf] A286910 12.8970 [(2*x^2+2*x-3)/(x^3+2*x^2+x-1) ogf] A286910 6.66707 [-(31*f(x)-123)*(f(x)*x^3+2*f(x)*x^2+f(x)*x-2*x^2-f(x)-2*x+3) ogf] A286910 7.02424 [{-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=3,a(1)=1,a(2)=5} ogf] A286910 8.19495 [-(-2*x^4-4*x^3+7*x^2+8*x+1)/(-2*x^5-6*x^4-3*x^3+6*x^2+5*x-3) lgdogf] A286911 11.3000 [-(2*x+1)*(x-1)/(2*x^3-3*x^2-6*x+1) ogf] A286911 5.99393 [(911*f(x)-266)*(2*f(x)*x^3-3*f(x)*x^2-6*f(x)*x+2*x^2+f(x)-x-1) ogf] A286911 6.10002 [{a(n+3)-6*a(n+2)-3*a(n+1)+2*a(n),a(0)=1,a(1)=7,a(2)=43} ogf] A286911 7.03369 [-(-4*x^4+4*x^3-9*x^2-2*x-7)/(-4*x^5+8*x^4+11*x^3-11*x^2-5*x+1) lgdogf] A286930 5.52260 [-72*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^7 ogf] A286938 8.21391 [-(2*x^4-3*x^3+x^2-x+2)/(x-1)/(x^4-2*x^3-x+1) ogf] A286945 10.5396 [-(x^4+x^3+x^2+1)/(x^2-x+1)/(x^3+2*x^2+x-1) ogf] A286952 15.4804 [-(2*x+1)/(x^2+x+1) ogf_with_Euler_transform] A286953 12.1213 [-(3*x^2+2*x+1)/(x^3+x^2+x+1) ogf_with_Euler_transform] A286953 99.9999 Evaluated at exp(-Pi) 8*exp(-5/8*Pi)/Pi^(3/4)*2^(1/8)*GAMMA(3/4)^3 A286954 4.28848 [-x*(14*x^12-11*x^9-20*x^8+9*x^7+16*x^6+7*x^5-5*x^3-4*x^2-3*x-2)/(x^14-x^11-2*x^10+x^9+2*x^8+x^7-x^5-x^4-x^3-x^2+1) ogf] A286970 14.9845 [-1/(x^11+x^7+x^5+x^3+x^2-1) ogf] A286970 8.12244 [-(11*x^10+7*x^6+5*x^4+3*x^2+2*x)/(x^11+x^7+x^5+x^3+x^2-1) lgdogf] A286983 11.0274 [(3*x^2+x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A286985 6.60594 [-(3*x^5-19*x^4+70*x^3-74*x^2+35*x-7)/(x-1)^2/(x^2+2*x-1)^2 ogf] A286986 5.08949 [(125400*f(x)-77813)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+2*x^3-6*f(x)*x+3*x^2+f(x)+3*x-3) ogf] A286986 7.48156 [-(-2*x^4-12*x^3-3*x^2+27*x-15)/(-2*x^5+3*x^4+4*x^3+9*x^2-12*x+3) lgdogf] A286986 9.59174 [-(2*x^3+3*x^2+3*x-3)/(x^2-3*x+1)^2 ogf] A287057 10.9235 [(x^3-3*x^2-3*x-3)/(x+1)/(x-1)^3 ogf] A287057 5.79784 [-(6832*f(x)-60517)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x+3*x^2-f(x)+3*x+3) ogf] A287057 8.37466 [-(x^4-4*x^3-12*x^2-24*x-9)/(x^5-3*x^4-4*x^3+3*x+3) lgdogf] A287062 3.9239 [-(6589186900*f(x)-1470369131)*(2*f(x)*x^4+21*f(x)*x^3+31*f(x)*x^2+8*x^3+11*f(x)*x+63*x^2-f(x)+62*x+11) ogf] A287062 7.80052 [-(8*x^3+63*x^2+62*x+11)/(x+1)/(2*x^3+19*x^2+12*x-1) ogf] A287063 6.17607 [-(32*x^5-92*x^4+126*x^3-81*x^2+24*x-3)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A287082 13.8064 [-2*(8*x+3)/(8*x^2+6*x-1) ogf] A287082 7.21699 [(51*f(x)+32)*(8*f(x)*x^2+6*f(x)*x-f(x)+16*x+6) ogf] A287082 7.65175 [{a(n+2)-6*a(n+1)-8*a(n),a(0)=6,a(1)=52} ogf] A287082 9.07279 [-(64*x^2+48*x+26)/(64*x^3+72*x^2+10*x-3) lgdogf] A287090 10.5133 [-(-x^2-4*x-1)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) ogf_with_Euler_transform] A287091 24.6428 [1/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A287120 6.04272 [-(x^7-x^6+x^5-5*x^4-7*x^3+x^2+5*x+1)/(x^3-x^2-3*x+1)/(x^6+3*x^4-x^2-1) ogf] A287128 8.42212 [-(4*x^4-3*x^3+x^2-3*x+2)/(x-1)/(2*x^4-2*x^3-2*x+1) ogf] A287129 6.62952 [(1000*x^9-10*x^7-1100*x^6+111*x^4+100*x^3-101*x^2+10*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A287130 5.76985 [(1000000*x^9-1000000*x^7-11000*x^6+11100*x^4+10*x^3-101*x^2+x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A287131 8.36676 [(8*x^9-2*x^7-12*x^6+7*x^4+4*x^3-5*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A287132 7.71610 [(64*x^9-64*x^7-24*x^6+28*x^4+2*x^3-5*x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A287143 14.3253 [-(7*x^3+25*x^2+14*x+4)/(x^4+3*x^3-3*x-1) lgdogf] A287143 9.38115 [-x*(x^2+3*x+1)/(x+1)^4/(x-1)^5 ogf] A287169 4.77351 [-(6004*f(x)+50561)*(4*f(x)*x^4-21*f(x)*x^3+12*x^4+27*f(x)*x^2-42*x^3-11*f(x)*x+27*x^2+f(x)-1) ogf] A287169 8.66913 [-(12*x^4-42*x^3+27*x^2-1)/(x-1)/(4*x^3-17*x^2+10*x-1) ogf] A287185 7.32139 [-(x^7+5*x^6+4*x^5-x^2-4*x-2)/(x-1)/(x^3+3*x^2-1)/(x^4+x^3+x^2+x+1) ogf] A287190 8.02521 [-(1100*x^6-111*x^4-100*x^3+101*x^2-10*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A287191 6.86522 [-(11000*x^6-11100*x^4-10*x^3+101*x^2-x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A287192 9.99929 [-(12*x^6-7*x^4-4*x^3+5*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A287193 9.51693 [-(24*x^6-28*x^4-2*x^3+5*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A287194 8.86738 [(1100*x^5-11*x^3-100*x^2+11*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A287195 11.2430 [-(-12*x^3-9*x^2-3*x-3)/(-2*x^4-x^3+2*x+1) lgdogf] A287195 11.8948 [-(2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A287196 8.58989 [(1100*x^5-1100*x^3-x^2+11*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A287197 11.1311 [(12*x^5-3*x^3-4*x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A287199 10.3910 [(12*x^5-12*x^3-x^2+3*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A287271 7.48571 [x*(x^19-2*x^15-2*x^10-2*x^9-2*x^4-3*x^3-2*x^2-2*x-1)/(x-1)/(x+1)/(x^2+1) ogf] A287275 11.2243 [-(x^3-3*x+1)/(x-1)/(x^3-x^2-3*x+1) ogf] A287275 5.91205 [(12*f(x)+11)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3+4*f(x)*x-f(x)-3*x+1) ogf] A287276 6.63592 [-(x^7+x^5-6*x^4-x^2+4*x-1)/(x^8-x^7-7*x^5+7*x^4+x^3+4*x^2-5*x+1) ogf] A287324 18.7798 [-(x-9)/(-x^2+1) lgdogf] A287324 39.0780 [[9-5*x] ogf_with_Euler_transform] A287324 6.21285 [{(-2-n)*a(n+3)+9*a(n+2)+(-1+n)*a(n+1),a(0)=0,a(1)=1,a(2)=9} ogf] A287324 8.34656 [x*(x+1)^5/(x-1)^4 ogf] A287327 10.4971 [-(-49*x^2+28*x-7)/(-49*x^3+63*x^2-21*x+2) lgdogf] A287327 16.0955 [-(7*x-2)/(7*x^2-7*x+1) ogf] A287327 7.95933 [-(36*f(x)-23)*(7*f(x)*x^2-7*f(x)*x+f(x)+7*x-2) ogf] A287327 8.83290 [{a(n+2)-7*a(n+1)+7*a(n),a(0)=2,a(1)=7} ogf] A287335 10.5444 [(x+2)*(x^2+16*x+1)/(x-1)^4 ogf] A287335 4.20711 [{(-23*n^2-149*n-206)*a(n+1)+(-392*n^2-3344*n-7252)*a(n+2)+(415*n^2+2179*n+2802)*a(n+3),a(0)=2,a(1)=41,a(2)=170} ogf] A287335 5.70553 [(1812*f(x)+40525)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-18*x^2+f(x)-33*x-2) ogf] A287335 9.57480 [-(x^3+39*x^2+135*x+41)/(x^4+17*x^3+15*x^2-31*x-2) lgdogf] A287349 10.0388 [-(2*x^3-8*x^2+11*x-4)/(x^2-3*x+1)^2 ogf] A287349 5.43195 [(15775*f(x)+6964)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+2*x^3-6*f(x)*x-8*x^2+f(x)+11*x-4) ogf] A287349 7.62562 [-(2*x^4-10*x^3+27*x^2-33*x+13)/(2*x^5-14*x^4+37*x^3-45*x^2+23*x-4) lgdogf] A287350 12.4916 [-(6*x^2-14*x+5)/(2*x-1)/(x^2-3*x+1) ogf] A287350 6.45398 [-(375*f(x)-226)*(2*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+6*x^2-f(x)-14*x+5) ogf] A287350 6.79368 [{-a(n+3)+5*a(n+2)-7*a(n+1)+2*a(n),a(0)=5,a(1)=11,a(2)=26} ogf] A287350 7.17110 [-(-12*x^4+56*x^3-98*x^2+58*x-11)/(-12*x^5+70*x^4-138*x^3+111*x^2-39*x+5) lgdogf] A287381 12.7643 [-(x^2-2*x-2)/(x^3-2*x^2-x+1) ogf] A287381 6.65488 [-(26*f(x)+23)*(f(x)*x^3-2*f(x)*x^2-f(x)*x+x^2+f(x)-2*x-2) ogf] A287381 6.95198 [{a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=2,a(1)=4,a(2)=7} ogf] A287381 8.46328 [-(x^4-4*x^3-x^2+6*x+4)/(x^5-4*x^4+x^3+7*x^2-2) lgdogf] A287384 10.1502 [[1] ogf_with_Euler_transform] A287392 10.8685 [-x*(x+1)*(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A287392 28.0018 [-x^9+3*x^4+1 ogf_with_Euler_transform] A287393 11.8024 [2*x/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A287393 27.9829 [[x^5-x+2] ogf_with_Euler_transform] A287393 8.48297 [-(6*x^4-4*x^3+4*x^2-2*x+2)/(x^5-x^4+x^3-x^2+x-1) lgdogf] A287394 28.2729 [x^8-x^2+2 ogf_with_Euler_transform] A287394 9.68005 [2*x/(x^6+x^3+1)/(x-1)^2 ogf] A287396 5.61998 [(f(x)+39)*(3136*f(x)*x^3-784*f(x)*x^2+56*f(x)*x+784*x^2-f(x)-112*x+3) ogf] A287396 5.61998 [{-a(n+3)+56*a(n+2)-784*a(n+1)+3136*a(n),a(0)=3,a(1)=56,a(2)=1568} ogf] A287396 9.65686 [-(28*x-1)*(28*x-3)/(3136*x^3-784*x^2+56*x-1) ogf] A287405 5.31808 [(283*f(x)-156)*(49*f(x)*x^3-147*f(x)*x^2+35*f(x)*x+147*x^2-f(x)-70*x+3) ogf] A287405 5.45214 [{-a(n+3)+35*a(n+2)-147*a(n+1)+49*a(n),a(0)=3,a(1)=35,a(2)=931} ogf] A287405 9.54125 [-(21*x-1)*(7*x-3)/(49*x^3-147*x^2+35*x-1) ogf] A287425 5.93594 [-(2*x^6-4*x^5+8*x^4-9*x^3+11*x^2-9*x+3)/(x-1)/(x^3-x^2+2*x-1)^2 ogf] A287426 3.76918 [{(8*n+18)*a(n+1)+(4*n+17)*a(n+2)+(-16*n-24)*a(n+3)+(4*n+5)*a(n+4),a(0)=3,a(1)=14,a(2)=47,a(3)=164} ogf] A287426 5.19534 [(626416*f(x)+1605005)*(2*f(x)*x^4-f(x)*x^3-5*f(x)*x^2+2*x^3+5*f(x)*x-8*x^2-f(x)-x+3) ogf] A287426 9.98587 [-(2*x^3-8*x^2-x+3)/(2*x^2+3*x-1)/(x-1)^2 ogf] A287430 10.8606 [-(126*x^2+547*x-115)/(7*x-1)^2 ogf] A287430 5.91517 [{-a(n+3)+14*a(n+2)-49*a(n+1),a(0)=115,a(1)=1063,a(2)=9121} ogf] A287430 6.07797 [(3360*f(x)+743569)*(49*f(x)*x^2-14*f(x)*x+126*x^2+f(x)+547*x-115) ogf] A287430 9.20138 [-(-4081*x+1063)/(-882*x^3-3703*x^2+1352*x-115) lgdogf] A287431 3.84247 [{(16*n+52)*a(n+1)+(-8*n-10)*a(n+2)+(-12*n-31)*a(n+3)+(4*n+9)*a(n+4),a(0)=7,a(1)=21,a(2)=45,a(3)=129} ogf] A287431 5.47017 [(590*f(x)+4627)*(4*f(x)*x^4-6*f(x)*x^3-f(x)*x^2+12*x^3+4*f(x)*x-32*x^2-f(x)-7*x+7) ogf] A287431 6.67547 [-(-48*x^5+208*x^4+88*x^3-12*x^2-57*x+21)/(-48*x^6+152*x^5-150*x^3+25*x^2+28*x-7) lgdogf] A287431 9.97096 [-(12*x^3-32*x^2-7*x+7)/(4*x^2+2*x-1)/(x-1)^2 ogf] A287439 13.5353 [-(3*x^2+4*x+2)/(2*x^3+2*x^2-1) ogf] A287439 7.63872 [-(-6*x^4-16*x^3-20*x^2-14*x-4)/(-6*x^5-14*x^4-12*x^3-x^2+4*x+2) lgdogf] A287439 8.20756 [(2*f(x)+35)*(2*f(x)*x^3+2*f(x)*x^2+3*x^2-f(x)+4*x+2) ogf] A287439 8.20756 [{a(n+3)-2*a(n+1)-2*a(n),a(0)=2,a(1)=4,a(2)=7} ogf] A287468 12.3845 [-(-40*x^3+22*x)/(-10*x^4+11*x^2-1) lgdogf] A287468 19.0530 [1/(x-1)/(x+1)/(10*x^2-1) ogf] A287468 8.25631 [(11111*f(x)+3530)*(10*f(x)*x^4-11*f(x)*x^2+f(x)-1) ogf] A287469 15.3596 [1/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A287469 6.93659 [(11111*f(x)+3530)*(1000*f(x)*x^4-110*f(x)*x^2+f(x)-1) ogf] A287469 9.77430 [-(-4000*x^3+220*x)/(-1000*x^4+110*x^2-1) lgdogf] A287470 12.1152 [-(-32*x^3+12*x)/(-8*x^4+6*x^2-1) lgdogf] A287470 18.9914 [1/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A287470 8.46605 [(31*f(x)+50)*(8*f(x)*x^4-6*f(x)*x^2+f(x)-1) ogf] A287471 7.57744 [(12*x^2-28*x+13)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A287474 5.0742 [(427*f(x)-1629)*(9*f(x)*x^3+3*f(x)*x^2+5*f(x)*x-3*x^2-f(x)-10*x+3) ogf] A287474 5.25381 [{a(n+3)-5*a(n+2)-3*a(n+1)-9*a(n),a(0)=3,a(1)=5,a(2)=31} ogf] A287474 9.57550 [(3*x^2+10*x-3)/(9*x^3+3*x^2+5*x-1) ogf] A287479 12.1632 [-(-3*x^2-6*x+1)/(-3*x^3-3*x^2-x-1) lgdogf] A287479 12.3562 [f(x)*(3*f(x)*x^2-x^2+f(x)-x) ogf] A287479 17.2988 [x*(x+1)/(3*x^2+1) ogf] A287479 9.37884 [{a(n+3)+3*a(n+1),a(0)=0,a(1)=1,a(2)=1} ogf] A287485 13.3944 [-2*(6*x^2+8*x+1)/(4*x^3+8*x^2+2*x-1) ogf] A287485 6.80522 [-(6919*f(x)-15931)*(4*f(x)*x^3+8*f(x)*x^2+2*f(x)*x+12*x^2-f(x)+16*x+2) ogf] A287485 7.40218 [{-a(n+3)+2*a(n+2)+8*a(n+1)+4*a(n),a(0)=2,a(1)=20,a(2)=68} ogf] A287485 8.03665 [-(-24*x^4-64*x^3-64*x^2-28*x-10)/(-24*x^5-80*x^4-80*x^3-18*x^2+6*x+1) lgdogf] A287497 8.02595 [-(6*x^5-8*x^3+9*x^2+8*x+1)/(x^6-2*x^4+3*x^3+4*x^2+x-1) ogf] A287498 4.95214 [(222101*f(x)-281090)*(f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2+4*x^3+9*x^2-f(x)+4*x) ogf] A287498 8.97128 [-x*(4*x^2+9*x+4)/(x^4+3*x^3+2*x^2-1) ogf] A287504 4.07852 [(1211000000*x^10+13190000*x^8+12090000*x^6+11100*x^4+11)/(10*x-1)/(10000*x^8-100*x^4-1100*x^2-11) ogf] A287525 8.03151 [-(x^5+2*x^4+3*x^3+x^2+2*x+2)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A287582 4.80787 [-(2*x^9+7*x^8-6*x^6-x^5+11*x^4+x^3-3*x+1)/(x^2+x-1)/(2*x^6+3*x^5-6*x^3-3*x^2-x+1)/(x-1)^2 ogf] A287592 6.59974 [x*(52*x^4-94*x^3+59*x^2-16*x+2)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A287594 12.4204 [(2*x^2-8*x+3)/(2*x-1)/(2*x^2+2*x-1) ogf] A287594 6.53139 [-(3*f(x)+55)*(4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x-2*x^2+f(x)+8*x-3) ogf] A287594 6.70480 [{-a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=3,a(1)=4,a(2)=12} ogf] A287594 7.42786 [-(-8*x^4+64*x^3-28*x^2-8*x+4)/(-8*x^5+28*x^4+12*x^3-40*x^2+20*x-3) lgdogf] A287651 2.40986 [-(f(x)-1)^3 ogf] A287655 5.20897 [-x*(x^12+x^11+x^10+x^9+x^8+x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A287700 7.47220 [-(17966*x^3+40446*x^2+10362*x+346)/(8983*x^4-4484*x^3-4158*x^2-340*x-1) lgdogf] A287700 7.92506 [-x*(8983*x^3+4499*x^2+341*x+1)/(x-1)^5 ogf] A287701 7.54410 [x*(966751*x^4+660746*x^3+98256*x^2+2246*x+1)/(x-1)^6 ogf] A287702 10.6563 [x*(163*x^2+52*x+1)/(x-1)^4 ogf] A287702 10.9443 [-(326*x^2+482*x+56)/(163*x^3-111*x^2-51*x-1) lgdogf] A287702 3.89363 [{(n+3)*a(n+4)+(46+51*n)*a(n+3)+(-371+111*n)*a(n+2)+(-326-163*n)*a(n+1),a(0)=0,a(1)=1,a(2)=56,a(3)=381} ogf] A287702 5.25893 [-(8826624*f(x)+427340195)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-163*x^3-4*f(x)*x-52*x^2+f(x)-x) ogf] A287733 8.74318 [6*(x^2+4*x+1)*(x^2-x+1)/(x-1)^2/(x^2+1)^2 ogf] A287742 13.5429 [1/(x-1)/(10*x^2-1)/(x^2+1) ogf] A287742 7.30255 [-(-50*x^4+40*x^3-27*x^2+18*x+1)/(-10*x^5+10*x^4-9*x^3+9*x^2+x-1) lgdogf] A287743 10.4382 [1/(10*x-1)/(100*x^2+1)/(10*x^2-1) ogf] A287744 14.2737 [1/(x-1)/(x^2+1)/(2*x^2-1) ogf] A287744 8.38764 [-(-10*x^4+8*x^3-3*x^2+2*x+1)/(-2*x^5+2*x^4-x^3+x^2+x-1) lgdogf] A287745 14.4973 [1/(2*x-1)/(4*x^2+1)/(2*x^2-1) ogf] A287745 7.82852 [-(-80*x^4+32*x^3+12*x^2-4*x+2)/(-16*x^5+8*x^4+4*x^3-2*x^2+2*x-1) lgdogf] A287746 9.04384 [(x^2+4*x+1)*(x^2-x+1)/(x-1)^2/(x^2+1)^2 ogf] A287762 2.51579 [(f(x)-1)^2*(-48*x^3+f(x)-1) ogf] A287764 2.76425 [-(f(x)-1)^3 ogf] A287765 10.3260 [-(-3*x^4-4*x^3+2*x^2-4*x-3)/(-3*x^5+x^4-2*x^3+2*x^2+x+1) lgdogf] A287765 16.2507 [-(3*x^2+2*x+1)/(x-1)/(x^2+1) ogf] A287765 8.85083 [{a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=5} ogf] A287765 8.93057 [(f(x)+7)*(f(x)*x^3-f(x)*x^2+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A287793 4.61532 [-x*(x^14+x^13+x^12+x^11+x^10+x^9+x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A287798 11.1105 [-(14*x^2-14*x+6)/(-14*x^3-617*x^2+630*x-159) lgdogf] A287798 16.5523 [(7*x^2+312*x-159)/(2*x-1) ogf] A287798 9.43097 [{-a(n+3)+2*a(n+2),a(0)=159,a(1)=6,a(2)=5} ogf] A287798 9.54192 [-(f(x)-159)*(2*f(x)*x-7*x^2-f(x)-312*x+159) ogf] A287804 12.6894 [-(3*x^2-1)/(x^3+5*x^2-5*x+1) ogf] A287804 6.40086 [-(17*f(x)+31)*(f(x)*x^3+5*f(x)*x^2-5*f(x)*x+3*x^2+f(x)-1) ogf] A287804 6.40087 [{-a(n+3)+5*a(n+2)-5*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=17} ogf] A287804 7.86193 [-(-3*x^4-12*x^2+16*x-5)/(-3*x^5-15*x^4+16*x^3+2*x^2-5*x+1) lgdogf] A287805 11.0964 [-(x+1)*(2*x^2-1)/(6*x^3-x^2-4*x+1) ogf] A287805 5.71384 [{-a(n+4)+4*a(n+3)+a(n+2)-6*a(n+1),a(0)=1,a(1)=5,a(2)=19,a(3)=73} ogf] A287805 6.38044 [(-1+25*f(x))*(6*f(x)*x^3-f(x)*x^2+2*x^3-4*f(x)*x+2*x^2+f(x)-x-1) ogf] A287805 6.96049 [-(14*x^4+4*x^3-15*x^2-2*x+5)/(12*x^6+10*x^5-16*x^4-11*x^3+7*x^2+3*x-1) lgdogf] A287806 11.0095 [-(x^3+2*x^2-x-1)/(3*x^3+2*x^2-5*x+1) ogf] A287806 5.62708 [{-a(n+4)+5*a(n+3)-2*a(n+2)-3*a(n+1),a(0)=1,a(1)=6,a(2)=26,a(3)=114} ogf] A287806 6.38365 [(3*f(x)+5)*(3*f(x)*x^3+2*f(x)*x^2+x^3-5*f(x)*x+2*x^2+f(x)-x-1) ogf] A287806 7.23482 [-(4*x^4+4*x^3-4*x^2-8*x+6)/(3*x^6+8*x^5-4*x^4-14*x^3+5*x^2+4*x-1) lgdogf] A287807 14.7228 [-(2*x^2-1)/(6*x^2-6*x+1) ogf] A287807 7.00405 [{a(n+3)-6*a(n+2)+6*a(n+1),a(0)=1,a(1)=6,a(2)=28} ogf] A287807 7.75719 [-(5*f(x)+4)*(6*f(x)*x^2-6*f(x)*x+2*x^2+f(x)-1) ogf] A287807 9.49233 [-(12*x^2-16*x+6)/(12*x^4-12*x^3-4*x^2+6*x-1) lgdogf] A287808 5.14953 [-(f(x)+1)*(6*f(x)*x^4-6*f(x)*x^3+2*x^4-8*f(x)*x^2+7*f(x)*x-4*x^2-f(x)+1) ogf] A287808 9.66418 [-(2*x^4-4*x^2+1)/(6*x^4-6*x^3-8*x^2+7*x-1) ogf] A287809 6.0097 [f(x)*(6*f(x)*x^4-13*f(x)*x^3+2*x^4-2*x^3+6*f(x)*x-3*x^2-f(x)+x+1) ogf] A287809 9.24568 [-(2*x^2-1)*(x^2-x-1)/(6*x^4-13*x^3+6*x-1) ogf] A287810 10.4815 [-(x+1)*(2*x^2-1)/(10*x^3-x^2-6*x+1) ogf] A287810 5.39489 [{-a(n+4)+6*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=7,a(2)=41,a(3)=241} ogf] A287810 6.06368 [(-7+58*f(x))*(10*f(x)*x^3-f(x)*x^2+2*x^3-6*f(x)*x+2*x^2+f(x)-x-1) ogf] A287810 6.67005 [-(22*x^4+4*x^3-23*x^2-2*x+7)/(20*x^6+18*x^5-24*x^4-19*x^3+9*x^2+5*x-1) lgdogf] A287811 10.8669 [-(-3*x^2-6*x-7)/(-3*x^3-9*x^2-5*x+1) lgdogf] A287811 15.4552 [-(x+1)/(3*x^2+6*x-1) ogf] A287811 8.08703 [(48*f(x)+1)*(3*f(x)*x^2+6*f(x)*x-f(x)+x+1) ogf] A287811 8.48151 [{a(n+2)-6*a(n+1)-3*a(n),a(0)=1,a(1)=7} ogf] A287812 4.72125 [(f(x)-1)*(3*f(x)*x^4-10*f(x)*x^3+x^4-3*f(x)*x^2-2*x^3+7*f(x)*x-3*x^2-f(x)+x+1) ogf] A287812 8.01514 [-(x+1)*(x^3-3*x^2+1)/(3*x^4-10*x^3-3*x^2+7*x-1) ogf] A287813 13.1807 [-(x^2-x-1)/(3*x^2-7*x+1) ogf] A287813 6.78228 [{a(n+3)-7*a(n+2)+3*a(n+1),a(0)=1,a(1)=8,a(2)=52} ogf] A287813 6.98576 [-(35+157*f(x))*(3*f(x)*x^2-7*f(x)*x+x^2+f(x)-x-1) ogf] A287813 9.56952 [-(4*x^2-8*x+8)/(3*x^4-10*x^3+5*x^2+6*x-1) lgdogf] A287814 11.4668 [-(x+1)*(2*x^2-1)/(10*x^3-7*x+1) ogf] A287814 6.02491 [{-a(n+4)+7*a(n+3)-10*a(n+1),a(0)=1,a(1)=8,a(2)=54,a(3)=366} ogf] A287814 6.46308 [-(20*x^4+8*x^3-22*x^2-4*x+8)/(20*x^6+20*x^5-24*x^4-22*x^3+9*x^2+6*x-1) lgdogf] A287814 6.90233 [(56*f(x)+1)*(10*f(x)*x^3+2*x^3-7*f(x)*x+2*x^2+f(x)-x-1) ogf] A287815 11.3338 [-(-6*x^2-12*x-8)/(-6*x^3-13*x^2-6*x+1) lgdogf] A287815 16.6229 [-(x+1)/(6*x^2+7*x-1) ogf] A287815 8.69805 [(17*f(x)-1)*(6*f(x)*x^2+7*f(x)*x-f(x)+x+1) ogf] A287815 9.12234 [{a(n+2)-7*a(n+1)-6*a(n),a(0)=1,a(1)=8} ogf] A287816 8.68435 [-(5*x^4-5*x^2+1)/(x^5+19*x^4-15*x^3-11*x^2+9*x-1) ogf] A287817 7.77641 [-(3*x^2-1)*(x^2-x-1)/(x^5+10*x^4-23*x^3-x^2+8*x-1) ogf] A287818 14.9606 [-(2*x^2-1)/(10*x^2-9*x+1) ogf] A287818 7.19262 [{a(n+3)-9*a(n+2)+10*a(n+1),a(0)=1,a(1)=9,a(2)=69} ogf] A287818 7.87402 [-(19*f(x)+8)*(10*f(x)*x^2-9*f(x)*x+2*x^2+f(x)-1) ogf] A287818 9.84253 [-(18*x^2-24*x+9)/(20*x^4-18*x^3-8*x^2+9*x-1) lgdogf] A287819 5.03689 [{-a(n+4)+8*a(n+3)+a(n+2)-14*a(n+1),a(0)=1,a(1)=9,a(2)=71,a(3)=561} ogf] A287819 5.56925 [(-17+105*f(x))*(14*f(x)*x^3-f(x)*x^2+2*x^3-8*f(x)*x+2*x^2+f(x)-x-1) ogf] A287819 6.17132 [-(30*x^4+4*x^3-31*x^2-2*x+9)/(28*x^6+26*x^5-32*x^4-27*x^3+11*x^2+7*x-1) lgdogf] A287819 9.78596 [-(x+1)*(2*x^2-1)/(14*x^3-x^2-8*x+1) ogf] A287825 6.80540 [-(x^5+3*x^4-3*x^3-4*x^2+x+1)/(5*x^5+9*x^4-21*x^3-4*x^2+9*x-1) ogf] A287826 11.8685 [-(3*x^2-1)/(2*x^3+13*x^2-10*x+1) ogf] A287826 6.03655 [{-a(n+3)+10*a(n+2)-13*a(n+1)-2*a(n),a(0)=1,a(1)=10,a(2)=84} ogf] A287826 6.08904 [-(65*f(x)+31)*(2*f(x)*x^3+13*f(x)*x^2-10*f(x)*x+3*x^2+f(x)-1) ogf] A287826 7.37095 [-(-6*x^4-24*x^2+32*x-10)/(-6*x^5-39*x^4+32*x^3+10*x^2-10*x+1) lgdogf] A287827 4.80496 [(-1+8*f(x))*(10*f(x)*x^4-20*f(x)*x^3+2*x^4-f(x)*x^2-2*x^3+9*f(x)*x-3*x^2-f(x)+x+1) ogf] A287827 8.11872 [-(2*x^2-1)*(x^2-x-1)/(10*x^4-20*x^3-x^2+9*x-1) ogf] A287828 11.5397 [-(x+1)*(2*x^2-1)/(14*x^3-9*x+1) ogf] A287828 6.01229 [{-a(n+4)+9*a(n+3)-14*a(n+1),a(0)=1,a(1)=10,a(2)=88,a(3)=776} ogf] A287828 6.38805 [-(28*x^4+8*x^3-30*x^2-4*x+10)/(28*x^6+28*x^5-32*x^4-30*x^3+11*x^2+8*x-1) lgdogf] A287828 6.94624 [(49*f(x)-1)*(14*f(x)*x^3+2*x^3-9*f(x)*x+2*x^2+f(x)-x-1) ogf] A287829 10.8865 [-(-2*x^2-4*x-10)/(-2*x^3-11*x^2-8*x+1) lgdogf] A287829 15.9668 [-(x+1)/(2*x^2+9*x-1) ogf] A287829 8.35474 [(47*f(x)+3)*(2*f(x)*x^2+9*f(x)*x-f(x)+x+1) ogf] A287829 8.65671 [{a(n+2)-9*a(n+1)-2*a(n),a(0)=1,a(1)=10} ogf] A287830 10.8865 [-(-4*x^2-8*x-10)/(-4*x^3-13*x^2-8*x+1) lgdogf] A287830 15.9668 [-(x+1)/(4*x^2+9*x-1) ogf] A287830 8.35474 [(49*f(x)+1)*(4*f(x)*x^2+9*f(x)*x-f(x)+x+1) ogf] A287830 8.65671 [{a(n+2)-9*a(n+1)-4*a(n),a(0)=1,a(1)=10} ogf] A287831 10.7240 [-(-6*x^2-12*x-10)/(-6*x^3-15*x^2-8*x+1) lgdogf] A287831 15.9668 [-(x+1)/(6*x^2+9*x-1) ogf] A287831 8.35474 [(51*f(x)-1)*(6*f(x)*x^2+9*f(x)*x-f(x)+x+1) ogf] A287831 8.65671 [{a(n+2)-9*a(n+1)-6*a(n),a(0)=1,a(1)=10} ogf] A287832 7.07403 [-(2*x^2-1)*(x^4-4*x^2+1)/(10*x^6-9*x^5-39*x^4+28*x^3+14*x^2-11*x+1) ogf] A287833 6.38541 [-(3*x^2-1)*(x^3+2*x^2-x-1)/(x^6+19*x^5+16*x^4-37*x^3-2*x^2+10*x-1) ogf] A287834 4.86306 [(2+39*f(x))*(10*f(x)*x^4-21*f(x)*x^3+2*x^4-2*f(x)*x^2-2*x^3+10*f(x)*x-3*x^2-f(x)+x+1) ogf] A287834 8.23405 [-(2*x^2-1)*(x^2-x-1)/(10*x^4-21*x^3-2*x^2+10*x-1) ogf] A287835 10.2485 [-(x+1)*(2*x^2-1)/(14*x^3+x^2-10*x+1) ogf] A287835 5.19743 [{-a(n+4)+10*a(n+3)-a(n+2)-14*a(n+1),a(0)=1,a(1)=11,a(2)=107,a(3)=1043} ogf] A287835 5.91578 [(7+305*f(x))*(14*f(x)*x^3+f(x)*x^2+2*x^3-10*f(x)*x+2*x^2+f(x)-x-1) ogf] A287835 6.43929 [-(26*x^4+12*x^3-29*x^2-6*x+11)/(28*x^6+30*x^5-32*x^4-33*x^3+11*x^2+9*x-1) lgdogf] A287836 10.5915 [-(x+1)*(2*x^2-1)/(18*x^3-x^2-10*x+1) ogf] A287836 5.37140 [{-a(n+4)+10*a(n+3)+a(n+2)-18*a(n+1),a(0)=1,a(1)=11,a(2)=109,a(3)=1081} ogf] A287836 6.06449 [(-31+166*f(x))*(18*f(x)*x^3-f(x)*x^2+2*x^3-10*f(x)*x+2*x^2+f(x)-x-1) ogf] A287836 6.71425 [-(38*x^4+4*x^3-39*x^2-2*x+11)/(36*x^6+34*x^5-40*x^4-35*x^3+13*x^2+9*x-1) lgdogf] A287837 10.5758 [-(-3*x^2-6*x-11)/(-3*x^3-13*x^2-9*x+1) lgdogf] A287837 15.1740 [-(x+1)/(3*x^2+10*x-1) ogf] A287837 7.93188 [(116*f(x)+5)*(3*f(x)*x^2+10*f(x)*x-f(x)+x+1) ogf] A287837 8.30958 [{a(n+2)-10*a(n+1)-3*a(n),a(0)=1,a(1)=11} ogf] A287838 10.4180 [-(-5*x^2-10*x-11)/(-5*x^3-15*x^2-9*x+1) lgdogf] A287838 15.1740 [-(x+1)/(5*x^2+10*x-1) ogf] A287838 7.93188 [(120*f(x)+1)*(5*f(x)*x^2+10*f(x)*x-f(x)+x+1) ogf] A287838 8.30958 [{a(n+2)-10*a(n+1)-5*a(n),a(0)=1,a(1)=11} ogf] A287839 10.4180 [-(-7*x^2-14*x-11)/(-7*x^3-17*x^2-9*x+1) lgdogf] A287839 15.1740 [-(x+1)/(7*x^2+10*x-1) ogf] A287839 7.93188 [(124*f(x)-3)*(7*f(x)*x^2+10*f(x)*x-f(x)+x+1) ogf] A287839 8.30958 [{a(n+2)-10*a(n+1)-7*a(n),a(0)=1,a(1)=11} ogf] A287865 8.49163 [-(12*x^8+19*x^7+47*x^6+23*x^5+11*x^4+5*x^3+7*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A287866 5.07555 [-x*(x^16-x^13-1)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A287867 7.84584 [(x^45-x^43-x^17+x^15+x^13+x^2-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A287893 7.72380 [x^3*(x^7-2*x^6+x^5-x^3-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^3 ogf] A287898 5.76032 [f(x)*(f(x)*x^4+2*f(x)*x^3+2*f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+x+1) ogf] A287898 9.65040 [-(x^2+1)*(x+1)/(x^4+2*x^3+2*x^2+2*x-1) ogf] A287944 3.61479 [-(f(x)-1)^3 ogf] A287988 4.14912 [-2*(x^2+2*x-1)*(2*x^6+4*x^5+x^4+24*x^3-4*x^2+20*x+1)/(x^3+x^2+3*x-1)^2/(x-1)^4 ogf] A287990 27.3438 [-36/(-x-1) ogf_with_Euler_transform] A287990 99.9999 Evaluated at exp(-Pi) 1/8388608*exp(9/2*Pi)*Pi^9*2^(1/2)/GAMMA(3/4)^36 A287991 26.2702 [-48/(-x-1) ogf_with_Euler_transform] A287991 99.9999 Evaluated at exp(-Pi) 1/1073741824*exp(6*Pi)*Pi^12/GAMMA(3/4)^48 A287992 7.76972 [-(16*x^4-44*x^3+53*x^2-18*x-1)/(2*x-1)^2/(x-1)^4 ogf] A287996 13.3172 [-(70*x^28+30*x^12+13*x^5+6*x^2+5)/(x-1) ogf] A287997 15.2963 [(-1/x^14+1)*x^14/(x+1)/(x-1) ogf_with_Euler_transform] A287998 14.9009 [(x^2+1)*(x^4+1)*(x^8+1) ogf_with_Euler_transform] A288020 6.71626 [(1000*x^9-10*x^7-1000*x^6+10*x^4+100*x^3-100*x^2+10*x+1)/(x+1)/(x-1)/(10*x+1)/(10*x-1) ogf] A288029 8.90427 [-(x^5-x^3-x^2-1)/(x^2+1)/(x^4-2*x^2-2*x+1) ogf] A288031 6.05249 [-(8*x^5+2*x^4-41*x^3+9*x^2+23*x+1)/(8*x^6+10*x^5-95*x^4+24*x^3+100*x^2+20*x-1) ogf] A288037 6.10625 [-(232*x^5-1146*x^4+2308*x^3-2393*x^2+1296*x-285)/(2*x-1)^2/(x-1)^4 ogf] A288038 12.6012 [-(2*x^2-4*x+3)/(x-1)/(2*x-1)^2 ogf] A288038 6.74272 [(228*f(x)-79)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-4*x+3) ogf] A288038 6.74273 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=3,a(1)=11,a(2)=33} ogf] A288038 8.93803 [-(4*x^3-14*x^2+22*x-11)/(4*x^4-14*x^3+20*x^2-13*x+3) lgdogf] A288040 8.70070 [-(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-2*x-10)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A288075 8.84735 [-(4108*x^2+17056*x+5148)/(632*x^3+2074*x^2-18*x-135) lgdogf] A288119 7.00868 [(3*x^9-x^8-x^7+4*x^6-x^5+2*x^4+x^3+2*x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A288122 20.0418 [x^12+x*(x^3+x+1) ogf_with_Euler_transform] A288122 8.25895 [1/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A288123 4.31232 [(101000000*x^10+111190000*x^8-1010000*x^6+21100*x^4-100*x^2+1)/(10*x-1)/(1010000*x^8-10100*x^4-1) ogf] A288131 4.77404 [(1100*x^6+900*x^5+1100*x^4-9*x^3+89*x^2-11*x-1)/(x-1)/(10*x+1)/(10*x-1)/(x^2+x+1)/(10*x^2-1)/(10*x^2+1) ogf] A288133 4.45764 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=7} ogf] A288133 4.9446 [(7*f(x)+9)*(2*f(x)*x^3-5*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A288133 8.52765 [(x^3-x^2+2*x-1)/(2*x-1)/(x-1)^2 ogf] A288136 4.19772 [(11000*x^6-900*x^5+110*x^4+900*x^3-109*x^2-11*x-1)/(x-1)/(10*x-1)/(x+1)/(10*x^2-1)/(100*x^2+10*x+1)/(10*x^2+1) ogf] A288137 5.94580 [(12*x^6+4*x^5+12*x^4-x^3+x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x^2+x+1)/(2*x^2-1)/(2*x^2+1) ogf] A288138 6.11770 [(24*x^6-4*x^5+6*x^4+4*x^3-5*x^2-3*x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2+1)/(4*x^2+2*x+1)/(2*x^2-1) ogf] A288143 99.9999 Evaluated at exp(-Pi) 1/54*exp(Pi)*3^(3/4)*Pi^2/GAMMA(2/3)/GAMMA(3/4)^5*(3^(1/2)-1)/GAMMA(7/12) A288156 11.9224 [-(3*x^7+x^6+x^5+7*x^4+2*x^3+4*x^2+x+1)/(x^8+x^5-x^3-1) lgdogf] A288156 21.1085 [(x^2-x+1)*x^2*(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A288156 34.7254 [-x^5+x^4+x^2+1 ogf_with_Euler_transform] A288165 19.6499 [x^8+x^5+x^3+x^2 ogf_with_Euler_transform] A288165 6.73576 [x^4/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x+1)^2/(x^2+x+1)^3/(x-1)^4 ogf] A288166 8.26141 [x^8/(x^4-1)+x^19/(x^4-1)-x^3/(x-1)/(x^2+1) ogf_with_Euler_transform] A288170 4.01919 [{-2*a(n)*n+(n-2)*a(n+1)+(2*n-1)*a(n+2)+(-n+1)*a(n+3),a(0)=2,a(1)=4,a(2)=8,a(3)=16,a(4)=34} ogf] A288170 5.52994 [-f(x)*(2*f(x)*x^4-3*f(x)*x^3+2*x^4-f(x)*x^2+2*x^3+3*f(x)*x-2*x^2-f(x)-2*x+2) ogf] A288170 9.17320 [-2*(x^4+x^3-x^2-x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A288176 11.8368 [2*(2*x^2-1)/(x-1)/(x^3-3*x^2-x+1) ogf] A288176 6.15515 [(3*f(x)+2)*(f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2+2*f(x)*x-4*x^2-f(x)+2) ogf] A288176 7.12402 [-(4*x^5-8*x^4-4*x^3+8*x^2-2)/(2*x^6-8*x^5+3*x^4+8*x^3-4*x^2-2*x+1) lgdogf] A288206 10.2171 [-2*(2*x^3-x^2-x+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A288206 5.50150 [{-a(n+4)+3*a(n+3)-a(n+2)-3*a(n+1)+2*a(n),a(0)=2,a(1)=4,a(2)=8,a(3)=18} ogf] A288206 5.65981 [(43*f(x)-36)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+4*x^3+3*f(x)*x-2*x^2-f(x)-2*x+2) ogf] A288206 8.19495 [-(4*x^5-x^3+x^2+2*x-2)/(4*x^6-4*x^5-5*x^4+7*x^3-3*x+1) lgdogf] A288219 11.9292 [-(x^2+6*x+4)/(x^4+3*x^3+3*x^2-2) lgdogf] A288219 15.3053 [-(x^2+2*x+2)/(x^2+x-1) ogf] A288219 7.95277 [{-a(n+3)+a(n+2)+a(n+1),a(0)=2,a(1)=4,a(2)=7} ogf] A288219 8.3627 [(-134+195*f(x))*(f(x)*x^2+f(x)*x+x^2-f(x)+2*x+2) ogf] A288229 7.82084 [-(x^6-x^5+x^4-x^3+x^2-x+1)*(x+1)^2/(x^7-x^6+2*x^5-x^4+2*x^3-x^2+2*x-1) ogf] A288230 5.33785 [-(x-1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)*(x+1)^2/(x^12-x^11+2*x^10-x^9+2*x^8-x^7+2*x^6-2*x^5+x^4-2*x^3+x^2-2*x+1) ogf] A288237 11.3738 [-(x^2-x+1)*(x+1)^2/(x^3-x^2+2*x-1) ogf] A288237 5.41235 [{a(n+5)-2*a(n+4)+a(n+3)-a(n+2),a(0)=1,a(1)=3,a(2)=5,a(3)=9,a(4)=17} ogf] A288237 6.38041 [-(4*f(x)+5)*(f(x)*x^3+x^4-f(x)*x^2+x^3+2*f(x)*x-f(x)+x+1) ogf] A288237 7.47420 [-(-x^5+3*x^4-8*x^3+10*x^2-5*x+3)/(x^6-x^5+2*x^4-x^2+2*x-1) lgdogf] A288260 13.4981 [-2*(2*x^3-1)/(x-1)/(3*x^3+x^2+x-1) ogf] A288260 7.19059 [(f(x)-2)*(3*f(x)*x^4-2*f(x)*x^3+4*x^3-2*f(x)*x+f(x)-2) ogf] A288260 9.15945 [-(6*x^6-4*x^3+2)/(6*x^7-4*x^6-7*x^4+4*x^3+2*x-1) lgdogf] A288268 19.4907 [x/(x^2-2*x+1) lgdegf] A288268 5.12165 [{(-n^2-2*n)*a(n+1)+(2*n+4)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A288269 10.0886 [-(-2*x^2-4*x)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A288270 9.95640 [-(-4*x^2-2*x)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A288271 6.22024 [-(79526*x^3+705381*x^2+611694*x+86139)/(9356*x^4+71173*x^3+36378*x^2-7389*x-1575) lgdogf] A288281 5.45506 [-(56868*x^4+875184*x^3+1494924*x^2+579168*x+48810)/(5416*x^5+74278*x^4+96148*x^3+9876*x^2-6960*x-675) lgdogf] A288309 13.4347 [-2*(2*x^2-1)/(x-1)/(3*x^2+x-1) ogf] A288309 6.83732 [{a(n+3)-2*a(n+2)-2*a(n+1)+3*a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A288309 6.89891 [-(f(x)-2)*(3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+4*x^2+f(x)-2) ogf] A288309 9.11643 [-(-6*x^4+5*x^2-2)/(-6*x^5+4*x^4+7*x^3-4*x^2-2*x+1) lgdogf] A288317 5.28624 [-(58+105*f(x))*(f(x)*x^4+2*f(x)*x^3+x^4-3*f(x)*x^2+3*x^3-f(x)*x+3*x^2+f(x)-2*x-2) ogf] A288317 9.45305 [-(x^4+3*x^3+3*x^2-2*x-2)/(x^3+3*x^2-1)/(x-1) ogf] A288341 16.6250 [x^5+x^4+x^3+x^2+x+2 ogf_with_Euler_transform] A288341 5.65054 [-1/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^7 ogf] A288344 16.9130 [(1/x^8-2/x^9+1)/(x-1)*x^9 ogf_with_Euler_transform] A288345 16.3240 [(1/x^9-2/x^10+1)*x^10/(x-1) ogf_with_Euler_transform] A288348 6.94408 [-(x^2+x+1)*(x-1)^2*(x+1)^3/(x^2+x-1)/(x^3+x^2-1)^2 ogf] A288380 8.63988 [-(2*x^4-4*x^3+x^2-2*x+2)/(x-1)/(x^4-2*x^3+x^2-2*x+1) ogf] A288382 3.67097 [-(f(x)-2)*(2*f(x)*x^3-x^4-5*f(x)*x^2+x^3+4*f(x)*x-f(x)-2*x+1) ogf] A288382 6.54391 [(x^4-x^3+2*x-1)/(2*x-1)/(x-1)^2 ogf] A288429 11.2642 [-(2*x^3+x^2-2)/(x-1)/(x^3+x-1) ogf] A288429 5.87348 [-(61*f(x)+544)*(f(x)*x^4-f(x)*x^3+f(x)*x^2+2*x^3-2*f(x)*x+x^2+f(x)-2) ogf] A288443 10.4484 [(8*f(x)+65)*(16*f(x)*x^2-8*f(x)*x+f(x)-8*x-2) ogf] A288443 10.8215 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=2,a(1)=24} ogf] A288443 19.3406 [-(16*x+12)/(16*x^2-1) lgdogf] A288443 19.7611 [2*(4*x+1)/(4*x-1)^2 ogf] A288465 10.429 [-f(x)*x^4-2*x^3+2*f(x)*x-2*x^2-f(x)+2 ogf] A288465 13.7224 [-2*(x^3+x^2-1)/(x-1)/(x^3+x^2+x-1) ogf] A288465 7.52093 [-(-x^6-2*x^5+x^2+2*x-2)/(-x^7-x^6+3*x^4+x^3-x^2-2*x+1) lgdogf] A288470 7.85625 [-1/4*I/(x+1)/(8*x-1)^(1/2)*(4*x+1)/x-1/4*(4*x+1)^2/(8*x-1)/(x+1)/x lgdogf] A288476 10.1236 [-(-4*x^4+4*x^3-4*x-2)/(-4*x^5+10*x^4-7*x^2+1) lgdogf] A288476 12.7790 [-2*(2*x+1)*(x-1)/(2*x^3-4*x^2-x+1) ogf] A288476 6.95996 [{a(n+3)-a(n+2)-4*a(n+1)+2*a(n),a(0)=2,a(1)=4,a(2)=8} ogf] A288476 7.02266 [(7*f(x)-6)*(2*f(x)*x^3-4*f(x)*x^2-f(x)*x+4*x^2+f(x)-2*x-2) ogf] A288477 4.02803 [(375299968947540*f(x)+35212577865466721257704500749)*(f(x)*x^2-2*f(x)*x+f(x)-187402613374813*x-247371098957) ogf] A288477 5.32402 [-(-187402613374813*x-187897355572727)/(-187402613374813*x^2+187155242275856*x+247371098957) lgdogf] A288477 5.72207 [{-a(n+2)+2*a(n+1)-a(n),a(0)=247371098957,a(1)=187897355572727} ogf] A288477 8.74660 [(187402613374813*x+247371098957)/(x-1)^2 ogf] A288486 18.0325 [-(3*x+7)/(x^2-1) lgdogf] A288486 37.4626 [[7-2*x] ogf_with_Euler_transform] A288486 5.83405 [{(n+2)*a(n+3)-7*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=24,a(2)=168} ogf] A288486 9.22594 [-24*x*(x+1)^2/(x-1)^5 ogf] A288487 7.25538 [(25*x^4+50*x^3+42*x^2+2*x+1)/(x-1)^6 ogf] A288487 7.39358 [-(-50*x^4-250*x^3-318*x^2-94*x-8)/(-25*x^5-25*x^4+8*x^3+40*x^2+x+1) lgdogf] A288492 7.69180 [(8*x^5-22*x^4+14*x^3+8*x^2-6*x+1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A288516 7.26025 [-(16*x^4-42*x^3+36*x^2+10*x-12)/(8*x^5-30*x^4+43*x^3-25*x^2+3*x+1) lgdogf] A288516 8.67892 [-(4*x^3-9*x^2+6*x+1)/(2*x-1)/(x-1)^4 ogf] A288523 5.50805 [(3*f(x)+23)*(2*f(x)*x^4-f(x)*x^3+2*x^4-f(x)*x^2+3*x^3-f(x)*x+x^2+f(x)-2*x-2) ogf] A288523 9.46089 [-(x+1)*(2*x^3+x^2-2)/(x-1)/(2*x^3+x^2-1) ogf] A288527 4.54858 [-(2*x^7+13*x^6+7*x^5-43*x^4-34*x^3+57*x^2-19*x-3)/(x^2+3*x-1)/(x^2+2*x-1)^2/(x-1)^3 ogf] A288534 10.0258 [(x^4+x^3+8*x^2+x+1)/(x-1)^4 ogf] A288534 10.9255 [-(-5*x^3-19*x^2-19*x-5)/(-x^5-7*x^3+7*x^2+1) lgdogf] A288534 5.64363 [(1799+2280*f(x))*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-x^3-4*f(x)*x-8*x^2+f(x)-x-1) ogf] A288571 10.1589 [-(x^2+1)*(x+1)/(4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A288571 6.79929 [-(8*x^6+15*x^5+21*x^4+31*x^3+3*x^2-6)/(4*x^7+3*x^6+3*x^5-x^4-4*x^3-3*x^2-3*x+1) lgdogf] A288599 11.9241 [-2*(x+1)*(x^3+x-1)/(x-1)/(x^3+x^2+x-1) ogf] A288599 7.38158 [(7*f(x)-5)*(f(x)*x^4+2*x^4+2*x^3-2*f(x)*x+2*x^2+f(x)-2) ogf] A288603 10.9418 [-f(x)*x^3-2*x^3+2*f(x)*x-2*x^2-f(x)+2 ogf] A288603 14.3971 [-2*(x^3+x^2-1)/(x-1)/(x^2+x-1) ogf] A288603 7.19857 [{a(n+4)-2*a(n+3)+a(n+1),a(0)=2,a(1)=4,a(2)=6,a(3)=8} ogf] A288603 7.89074 [-(-x^4-4*x^3+4*x^2+2*x-2)/(-x^6-x^5+2*x^4+2*x^3-x^2-2*x+1) lgdogf] A288604 3.94694 [3*x*(17*x^6+486*x^5+2943*x^4+5204*x^3+2943*x^2+486*x+17)/(x-1)^10 ogf] A288637 5.86640 [(x^5-2*x^4-16*x^3+15*x^2-14*x+6)/(2*x^5+3*x^4-7*x^3+12*x^2-7*x+1)/(x-1)^2 ogf] A288657 10.7575 [-x*(68*x^26-68*x^25+6*x^4-6*x^3-1)/(x-1)^2 ogf] A288658 13.2147 [-(22*x^7-22*x^6+3*x-4)/(x-1)^2 ogf] A288660 10.2931 [-(25*x^15-25*x^14+5*x^3-5*x^2+2*x-3)/(x-1)^2 ogf] A288661 6.59332 [(1000*x^6-1010*x^4+10*x^3+110*x^2-10*x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A288662 6.98091 [(1000*x^6-1010*x^4+100*x^3+11*x^2-x-1)/(x+1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A288663 8.49162 [(8*x^6-10*x^4+2*x^3+6*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A288664 8.69001 [(8*x^6-10*x^4+4*x^3+3*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A288668 14.3025 [-(3*x^2+4*x+2)/(2*x^3+x^2-1) ogf] A288668 8.15242 [-(207*f(x)+13)*(2*f(x)*x^3+f(x)*x^2+3*x^2-f(x)+4*x+2) ogf] A288668 8.15242 [-(-6*x^4-16*x^3-16*x^2-10*x-4)/(-6*x^5-11*x^4-8*x^3+x^2+4*x+2) lgdogf] A288668 8.67279 [{a(n+3)-a(n+1)-2*a(n),a(0)=2,a(1)=4,a(2)=5} ogf] A288687 6.78277 [(16*x^5-38*x^4+48*x^3-31*x^2+9*x-1)/(4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A288688 3.26552 [-(60*x^10-422*x^9+1044*x^8-1855*x^7+2394*x^6-2122*x^5+1273*x^4-504*x^3+124*x^2-17*x+1)/(5*x-1)/(3*x-1)/(2*x-1)^3/(x-1)^4 ogf] A288697 13.7285 [-(10*x^4-x^2+x+1)/(x-1)/(x+1) ogf] A288697 8.84724 [(2000*f(x)-1799)*(10*x^4+f(x)*x^2-x^2-f(x)+x+1) ogf] A288698 10.2316 [-(1000*x^4-100*x^2+10*x+1)/(10*x-1)/(10*x+1) ogf] A288698 7.1511 [(f(x)+509)*(1000*x^4+100*f(x)*x^2-100*x^2-f(x)+10*x+1) ogf] A288699 13.5975 [-(2*x^4-x^2+x+1)/(x-1)/(x+1) ogf] A288699 9.22686 [(16*f(x)-7)*(2*x^4+f(x)*x^2-x^2-f(x)+x+1) ogf] A288700 13.4249 [-(8*x^4-4*x^2+2*x+1)/(2*x-1)/(2*x+1) ogf] A288700 7.97104 [-(64*x^5-32*x^3-8*x^2-2)/(-32*x^6+24*x^4-8*x^3-8*x^2+2*x+1) lgdogf] A288700 9.21952 [(f(x)+5)*(8*x^4+4*f(x)*x^2-4*x^2-f(x)+2*x+1) ogf] A288714 5.24606 [-2*(152*x^5-580*x^4+764*x^3-360*x^2+14*x+13)/(4*x-1)^2/(x-1)^2/(2*x-1)^3 ogf] A288719 4.50326 [-3*x*(x^9-6*x^8+13*x^7-8*x^6-15*x^5+34*x^4-29*x^3+14*x^2+9*x+2)/(x-1)^7 ogf] A288720 4.84456 [{a(n+4)-14*a(n+3)+56*a(n+2)-64*a(n+1),a(0)=0,a(1)=1,a(2)=16,a(3)=184} ogf] A288720 5.30965 [-(236*f(x)+5)*(64*f(x)*x^3-56*f(x)*x^2+16*x^3+14*f(x)*x+2*x^2-f(x)+x) ogf] A288720 9.61891 [-x*(16*x^2+2*x+1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A288732 10.5635 [-2*(x^4-x^3-x^2-x-1)/(x-1)/(2*x^4-1) ogf] A288761 6.03830 [(1000000*x^9-1000000*x^7-1000*x^6+1000*x^4+10*x^3-x^2+x+1)/(x-1)/(10*x+1)/(10*x-1)/(x+1) ogf] A288762 8.49178 [(8*x^9-2*x^7-8*x^6+2*x^4+4*x^3-4*x^2+2*x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A288763 7.90760 [(64*x^9-64*x^7-8*x^6+8*x^4+2*x^3-x^2+x+1)/(x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A288780 3.82497 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-n^3-7*n^2-15*n-9)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A288795 11.7050 [-(24*x^2-47*x+11)/(x-1)/(3*x-1)/(4*x-1) ogf] A288795 6.38455 [(211*f(x)-3612)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+24*x^2-f(x)-47*x+11) ogf] A288795 6.54687 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=11,a(1)=41,a(2)=143} ogf] A288825 7.58701 [(100*x^5-10*x^4-100*x^3+20*x^2-1)/(x-1)/(10*x-1)/(10*x^2-1) ogf] A288826 7.42559 [(1000*x^5-1000*x^4-10*x^3+20*x^2-1)/(x-1)/(10*x-1)/(10*x^2-1) ogf] A288827 9.58302 [(4*x^5-2*x^4-4*x^3+4*x^2-1)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A288828 9.53986 [(8*x^5-8*x^4-2*x^3+4*x^2-1)/(2*x-1)/(x-1)/(2*x^2-1) ogf] A288834 15.1366 [-(-9*x+9)/(-9*x^2+9*x-2) lgdogf] A288834 16.1457 [-(3*x-2)/(3*x-1)^2 ogf] A288834 8.35121 [(14*f(x)+53)*(9*f(x)*x^2-6*f(x)*x+f(x)+3*x-2) ogf] A288834 8.86044 [{-a(n+2)+6*a(n+1)-9*a(n),a(0)=2,a(1)=9} ogf] A288835 13.0011 [3*(3*x-2)/(3*x-1)^3 ogf] A288835 14.3012 [-(-18*x+15)/(-9*x^2+9*x-2) lgdogf] A288835 6.11163 [{a(n+3)-9*a(n+2)+27*a(n+1)-27*a(n),a(0)=6,a(1)=45,a(2)=243} ogf] A288835 6.62095 [(19*f(x)-180)*(27*f(x)*x^3-27*f(x)*x^2+9*f(x)*x-f(x)-9*x+6) ogf] A288836 10.8820 [-9*(3*x-2)/(3*x-1)^4 ogf] A288836 14.7995 [-(-27*x+21)/(-9*x^2+9*x-2) lgdogf] A288836 4.68339 [{(2*n+6)*a(n+3)+(-39-9*n)*a(n+2)+(36+9*n)*a(n+1),a(0)=18,a(1)=189,a(2)=1296} ogf] A288836 5.60588 [(61*f(x)+2178)*(81*f(x)*x^4-108*f(x)*x^3+54*f(x)*x^2-12*f(x)*x+f(x)+27*x-18) ogf] A288838 14.8988 [-(-36*x+27)/(-9*x^2+9*x-2) lgdogf] A288838 4.71482 [{(2*n+6)*a(n+3)+(-45-9*n)*a(n+2)+(45+9*n)*a(n+1),a(0)=54,a(1)=729,a(2)=6075} ogf] A288838 9.42963 [27*(3*x-2)/(3*x-1)^5 ogf] A288844 8.27403 [(f(x)-1)^2*(-2592899910*x^4+f(x)-1) ogf] A288876 6.38823 [-(x^4+16*x^3+36*x^2+16*x+1)/(x-1)^9 ogf] A288876 7.06341 [{(n^2+12*n+36)*a(n+1)+(-n^2-4*n-4)*a(n+2),a(0)=1,a(1)=25} ogf] A288876 8.11962 [-(-5*x^4-100*x^3-300*x^2-200*x-25)/(-x^5-15*x^4-20*x^3+20*x^2+15*x+1) lgdogf] A288913 11.3807 [-(x^2+8*x-29)/(x^3-3*x^2-27*x+4) lgdogf] A288913 16.6916 [(x+4)/(x^2-7*x+1) ogf] A288913 8.53549 [(195*f(x)+61)*(f(x)*x^2-7*f(x)*x+f(x)-x-4) ogf] A288913 9.04967 [{-a(n+2)+7*a(n+1)-a(n),a(0)=4,a(1)=29} ogf] A288914 7.12619 [-(x^39-x^38+x^37-x^36+x^35-x^34+x^31-x^26+x^25-x^24+x^23+x^7-x^6+x^5+x+2)/(x-1) ogf] A288918 10.6326 [-(x^2+42*x+29)/(x^3+19*x^2-17*x-3) lgdogf] A288918 10.9548 [-x*(x^2+20*x+3)/(x-1)^3 ogf] A288918 5.43624 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=3,a(2)=29,a(3)=79} ogf] A288918 5.78416 [(33912*f(x)-225745)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+20*x^2-f(x)+3*x) ogf] A288919 10.0702 [-(10*x+44)/(5*x^2+8*x-13) lgdogf] A288919 3.86151 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=52,a(3)=176} ogf] A288919 4.71175 [-f(x)*(f(x)*x^3-3*f(x)*x^2+20*x^3+3*f(x)*x+52*x^2-f(x)) ogf] A288919 8.15208 [-4*x^2*(5*x+13)/(x-1)^3 ogf] A288920 10.8131 [2*x^2*(7*x^2-92*x-41)/(x-1)^3 ogf] A288920 11.1177 [-(-7*x^2+170*x+215)/(-7*x^3+99*x^2-51*x-41) lgdogf] A288920 5.33349 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=0,a(1)=0,a(2)=82,a(3)=430,a(4)=1030} ogf] A288920 5.55885 [-(6810461*f(x)+2040973759)*(f(x)*x^3-14*x^4-3*f(x)*x^2+184*x^3+3*f(x)*x+82*x^2-f(x)) ogf] A288925 9.49487 [-(x+1)*(x^3-2*x^2-2)/(2*x^5-3*x^4-x^2-x+1) ogf] A288937 8.79291 [-(x^6-2*x^5+3*x^4-2*x^3+x^2-x+1)/(x-1)^3 ogf] A288944 3.73330 [(128*x^5-128*x^4+24*x^3+8*x^2-2*x+1)/(2*x-1)^2 egf] A288947 5.79270 [(10*x^7+9*x^6-22*x^5-3*x^4+19*x^3+7*x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A288950 3.54413 [{(2*n^3+3*n^2-3*n-2)*a(n+1)+(-2*n^3-12*n^2-16*n)*a(n+2)+(n^2+3*n)*a(n+3),a(0)=1,a(1)=0,a(2)=1,a(3)=2} ogf] A288952 18.0826 [-x/(x^2+x-1) lgdegf] A288952 5.12981 [{(n^2+4*n+4)*a(n+1)+(n+2)*a(n+2)-a(n+3),a(0)=1,a(1)=0,a(2)=1} ogf] A288953 3.38969 [{(-n^3-8*n^2-20*n-16)*a(n+1)+(n^2+6*n+9)*a(n+2)+(n+4)*a(n+3)-a(n+4),a(0)=1,a(1)=1,a(2)=3,a(3)=10} ogf] A288958 7.92444 [-(4*x^4-12*x^3+9*x^2-5*x+2)/(2*x-1)^2/(x-1)^3 ogf] A288959 10.5664 [-(4*x^3+48*x^2+72*x+16)/(x^4+8*x^3-8*x-1) lgdogf] A288959 6.54942 [{(n^2+8*n+16)*a(n+1)+(-n^2-2*n-1)*a(n+2),a(0)=0,a(1)=18} ogf] A288959 6.89113 [-18*x*(x+1)*(x^2+8*x+1)/(x-1)^7 ogf] A288960 6.25221 [12*x^2*(x^4-8*x^3+8*x^2+64*x+5)/(x-1)^8 ogf] A288960 8.09810 [-(4*x^4-36*x^3+24*x^2+464*x+104)/(x^5-9*x^4+16*x^3+56*x^2-59*x-5) lgdogf] A288961 11.0366 [-(4*x+16)/(x^2+2*x-3) lgdogf] A288961 3.62947 [{(3+3*n)*a(n+3)+(-16-2*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=0,a(2)=6} ogf] A288961 6.84546 [-2*x^2*(x+3)/(x-1)^5 ogf] A288962 11.7610 [-(-15*x^3-99*x^2-57*x-9)/(-5*x^4-16*x^3+18*x^2+2*x+1) lgdogf] A288962 5.20670 [{(487*n^2+2939*n+4434)*a(n+1)+(-494*n^2-404*n+1494)*a(n+2)+(7*n^2-135*n-298)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A288962 9.89788 [x*(5*x^3+21*x^2+3*x+1)/(x-1)^6 ogf] A288963 4.16983 [{(-3*n^2-19*n-30)*a(n+1)+(2*n^2-14*n-64)*a(n+2)+(n^2+9*n+8)*a(n+3),a(0)=0,a(1)=0,a(2)=36} ogf] A288963 6.30821 [-12*x^2*(x^3+5*x^2+3*x+3)/(x-1)^7 ogf] A288963 9.34253 [-(4*x^3+28*x^2+28*x+24)/(x^4+4*x^3-2*x^2-3) lgdogf] A288964 4.21021 [{(n^3+7*n^2+16*n+12)*a(n+1)+(-2*n^2-9*n-8)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A288989 12.0778 [-691*f(x)*x+f(x)-1 ogf] A288989 22.5803 [-1/(691*x-1) ogf] A288989 9.61752 [{a(n+1)-691*a(n),a(0)=1} ogf] A288994 5.06223 [x*(2*x^7-5*x^6+9*x^5-18*x^4+16*x^3-15*x^2+x-2)/(x-1)^3/(x^2+1)^3 ogf] A289004 5.88737 [-(3*x^9+2*x^8+x^7+2*x^6+x^4-x^3-x^2-2)/(x-1)/(x^9+x^8+2*x^7+x^6+x^5+2*x^4+x-1) ogf] A289006 13.9351 [x*(x+1)*(4*x^2+2*x+1)/(x-1)/(x^2+x+1)/(10*x^3-1) ogf] A289022 3.94353 [-3*(2916*x^7-1890*x^6+954*x^5-499*x^4-247*x^3+209*x^2-37*x+2)/(2*x+1)/(x-1)/(2*x^2+1)/(9*x-1)^2/(3*x-1)^2 ogf] A289031 9.06174 [3*I/(4*x-1)^(1/2)/x-(5*x-3)/(x-1)/x lgdogf] A289058 4.91655 [-(3*x^16-3*x^15+x^13-x^12+x^11-2*x^8+3*x^7-2*x^6-x^5+x^4-x^3+x^2+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A289060 9.61508 [-(x^3+x^2+2)*(x^4-x+1)/(x-1)^3 ogf] A289077 5.53324 [(x^9-2*x^8+x^7+x^6-x^5-x^4-x^3+3*x^2-2)/(x+1)/(x^4-x^3+x^2+x-1)/(x-1)^2 ogf] A289096 4.03471 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=10,a(2)=111,a(3)=1110,a(4)=11101,a(5)=111110} ogf] A289096 8.83551 [(100*x^5-10*x^4+10*x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A289097 3.88400 [{a(n+4)-a(n+3)-100*a(n+2)+100*a(n+1),a(0)=1,a(1)=1,a(2)=111,a(3)=111,a(4)=10111,a(5)=11111} ogf] A289097 7.95295 [(1000*x^5-1000*x^4+10*x^2+1)/(10*x-1)/(10*x+1)/(x-1) ogf] A289098 10.6332 [(4*x^5-2*x^4+2*x^2+1)/(x-1)/(2*x-1)/(x+1) ogf] A289098 4.88192 [{a(n+4)-2*a(n+3)-a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=14,a(4)=29,a(5)=62} ogf] A289099 10.8689 [(8*x^5-8*x^4+2*x^2+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A289099 5.02172 [{-a(n+4)+a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=1,a(2)=7,a(3)=7,a(4)=23,a(5)=31} ogf] A289107 13.8102 [(2*x^4-x^2+2)/(x-1)/(x^2+x-1) ogf] A289107 6.14985 [{a(n+4)-2*a(n+3)+a(n+1),a(0)=2,a(1)=4,a(2)=7,a(3)=12,a(4)=22} ogf] A289107 7.8718 [(17*f(x)-168)*(f(x)*x^3-2*x^4-2*f(x)*x+x^2+f(x)-2) ogf] A289111 4.08174 [(53614281278220*f(x)+5030387790310887068706062323)*(f(x)*x^2-2*f(x)*x+f(x)-187205170838539*x-444813635231) ogf] A289111 5.56602 [-(-26743595834077*x-26870685444143)/(-26743595834077*x^2+26680051029044*x+63544805033) lgdogf] A289111 5.72207 [{-a(n+2)+2*a(n+1)-a(n),a(0)=444813635231,a(1)=188094798109001} ogf] A289111 8.74660 [7*(26743595834077*x+63544805033)/(x-1)^2 ogf] A289115 7.51313 [-(x^9-x^8+x^4-x^3+x^2-2*x+2)/(x^3+x-1)/(x-1)^2 ogf] A289116 19.5801 [-(f(x)-1)^3 ogf] A289120 10.9865 [-(-3*x^9-2*x^7-9*x^6-2*x^5-2*x^4-2*x^3-6*x^2-2*x)/(-x^10-x^7+x^3+1) lgdogf] A289120 13.3491 [x^2*(x+1)*(x^2-x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A289120 30.2144 [x*(x^5-2*x^4+2*x+1) ogf_with_Euler_transform] A289121 8.49342 [-(-2*x^4-2*x^3-36*x^2+14*x-4)/(-2*x^5+5*x^4-18*x^3+26*x^2-14*x+3) lgdogf] A289121 8.84366 [-(2*x^4-3*x^3+15*x^2-11*x+3)/(x-1)^5 ogf] A289122 15.3371 [x^10-x^9-x^5+x^4+x^2+x ogf_with_Euler_transform] A289122 8.65157 [x^3*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A289131 8.08896 [-(2*x^5+2*x^4-2*x^3-3*x^2+2*x+2)/(x+1)/(2*x^2-1)/(x-1)^2 ogf] A289133 14.1048 [x^3*(x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A289133 23.5682 [-x^9+x^8+x^4+1 ogf_with_Euler_transform] A289134 11.1193 [-(13*x^2+82*x+31)/(13*x^3+15*x^2-27*x-1) lgdogf] A289134 12.3548 [-(13*x^2+28*x+1)/(x-1)^3 ogf] A289134 6.37995 [(52871*f(x)-879737)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+28*x+1) ogf] A289134 6.76830 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=31,a(2)=103} ogf] A289139 11.1082 [x^2*(x+1)*(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A289139 20.7936 [-x^7+x^6+x^3-x+2 ogf_with_Euler_transform] A289143 6.89300 [-x^2*(x^13-3*x^12+3*x^11-3*x^9+3*x^8-3*x^6+3*x^5-3*x^3+6*x^2-6*x+3)/(x^2+1)/(x^4-x^2+1)/(x-1)^3 ogf] A289147 15.0411 [-(-x+5)/(-x^2+2*x-1) lgdegf] A289147 5.04875 [{(-n^2-4*n-4)*a(n+1)+(2*n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=5,a(2)=34} ogf] A289148 3.92243 [-(f(x)-1)*(2775599992570319209000*x^6+112836966547968*f(x)*x-1666013203*f(x)-112836966547968*x+1666013203) ogf] A289149 19.4508 [(f(x)-1)^2 ogf] A289150 6.84319 [(10*x^4-x^2+x-1)/(x-1)/(10*x-1)/(10*x^2-1)/(x^2+1) ogf] A289156 5.51237 [12*(5*x^4+72*x^3+166*x^2+72*x+5)/(x-1)^6 ogf] A289161 6.52648 [-2*x^2*(x^4+x^3+4*x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A289162 5.33828 [x^3*(5*x^5+8*x^4+40*x^3+10*x^2+27*x+6)/(x+1)^4/(x-1)^6 ogf] A289163 4.33308 [-2*x^3*(6*x^7+15*x^6+104*x^5+19*x^4+146*x^3+57*x^2+32*x+5)/(x+1)^5/(x-1)^7 ogf] A289179 10.2866 [-(20*x^3+20*x^2+20*x+4)/(5*x^4+2*x^3-4*x^2-2*x-1) lgdogf] A289179 9.59311 [x*(5*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A289181 8.05823 [-(2*x^4-8*x^3+25*x^2+144*x+41)/(-2*x^5-5*x^4+53*x^3-20*x^2-21*x-5) lgdogf] A289181 9.12086 [4*x^3*(2*x^4+7*x^3-46*x^2-26*x-5)/(x-1)^3 ogf] A289188 5.55456 [-(x^26-x^25+x^15-x^13+x^8-x^6+x^5-x^4-x^3-x^2-2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A289195 13.3502 [2*(x^2-x+1)*x^2*(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A289195 21.9326 [-x^5+x^4+x^2+1 ogf_with_Euler_transform] A289199 7.59056 [x^2*(x+1)*(x^2-x+1)*(2*x^8+x^6+x^2+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A289203 11.5832 [(4*x^5+x^4-5*x^3-x^2-x-1)/(x-1)/(x+1) ogf] A289205 9.25160 [(x+1)*(2*x^12-2*x^11+x^10+x^9-2*x^8+2*x^7-3*x^6+3*x^5-x^4+2*x^3+x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A289207 13.8483 [-f(x)*x^2+x^3+2*f(x)*x-f(x) ogf] A289207 23.5795 [x^3/(x-1)^2 ogf] A289207 31.1586 [2/(-x+1) lgdogf] A289207 66.8913 [[2] ogf_with_Euler_transform] A289207 7.85983 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A289208 3.80016 [-729*f(x)^3*x^3-2700*f(x)^3*x^2+848*f(x)^3*x-756*f(x)^2*x^2-64*f(x)^3+112*f(x)^2*x-54*f(x)*x^2+f(x)*x-x^2 ogf] A289211 13.6794 [-(-x+6)/(-x^2+2*x-1) lgdegf] A289211 4.55979 [{(-n^2-4*n-4)*a(n+1)+(2*n+10)*a(n+2)-a(n+3),a(0)=1,a(1)=6,a(2)=47} ogf] A289212 14.1088 [-(-x+7)/(-x^2+2*x-1) lgdegf] A289212 4.70292 [{(-n^2-4*n-4)*a(n+1)+(2*n+11)*a(n+2)-a(n+3),a(0)=1,a(1)=7,a(2)=62} ogf] A289213 14.5382 [-(-x+8)/(-x^2+2*x-1) lgdegf] A289213 4.84606 [{(-n^2-4*n-4)*a(n+1)+(2*n+12)*a(n+2)-a(n+3),a(0)=1,a(1)=8,a(2)=79} ogf] A289214 14.7835 [-(-x+9)/(-x^2+2*x-1) lgdegf] A289214 4.92785 [{(-n^2-4*n-4)*a(n+1)+(2*n+13)*a(n+2)-a(n+3),a(0)=1,a(1)=9,a(2)=98} ogf] A289215 13.1541 [-(-x+10)/(-x^2+2*x-1) lgdegf] A289215 4.41475 [{(-n^2-4*n-4)*a(n+1)+(2*n+14)*a(n+2)-a(n+3),a(0)=1,a(1)=10,a(2)=119} ogf] A289216 13.3311 [-(-x+11)/(-x^2+2*x-1) lgdegf] A289216 4.47414 [{(-n^2-4*n-4)*a(n+1)+(2*n+15)*a(n+2)-a(n+3),a(0)=1,a(1)=11,a(2)=142} ogf] A289218 2.87427 [(f(x)*x^2-2*f(x)*x+f(x)+72*x-84)^2 ogf] A289223 12.9634 [-(-3*x^2+2*x+11)/(-x^3+2*x^2+x-2) lgdogf] A289223 4.36590 [{(100*n^2+364*n+328)*a(n+1)+(-339*n^2-1547*n-2134)*a(n+2)+(239*n^2+627*n+388)*a(n+3),a(0)=0,a(1)=0,a(2)=12} ogf] A289223 9.57522 [6*x^2*(x+1)*(x-2)/(x-1)^5 ogf] A289224 6.34945 [-2*x*(19*x^5-38*x^4-40*x^3+90*x^2+27*x+2)/(x-1)^7 ogf] A289225 4.46894 [x*(225*x^7-560*x^6-684*x^5+2503*x^4-87*x^3-2322*x^2-742*x-13)/(x-1)^9 ogf] A289226 3.31158 [-3*x*(413*x^9-1139*x^8-1637*x^7+6103*x^6+3779*x^5-18129*x^4+1293*x^3+15761*x^2+3496*x+140)/(x-1)^11 ogf] A289230 5.53475 [-x*(7*x^8-4*x^7-20*x^6-21*x^5+37*x^4+60*x^3+50*x^2+9*x+2)/(x+1)/(x^2+x+1)/(x-1)^7 ogf] A289233 12.4967 [x^11-x^9-x^5+x^4-x^3+x^2+2*x+1 ogf_with_Euler_transform] A289233 7.33035 [-x*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^3 ogf] A289245 5.06888 [-(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)*(x+1)^2/(x-1)/(x^12-2*x^11+x^10-x^9+2*x^8-x^7+x^6-2*x^5-3*x^3-2*x+1) ogf] A289254 15.5032 [-(12*x-6)/(4*x^2-5*x+1) lgdogf] A289254 16.8812 [-9*x/(4*x-1)/(x-1)^2 ogf] A289254 6.78264 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=0,a(1)=9,a(2)=54} ogf] A289254 9.86565 [4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+9*x ogf] A289255 11.9702 [-(40*x^2+7*x-11)/(20*x^3-21*x^2+1) lgdogf] A289255 14.4546 [-(5*x+1)/(4*x-1)/(x-1)^2 ogf] A289255 6.72011 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=11,a(2)=57} ogf] A289255 6.90173 [(62217*f(x)-90280)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+5*x+1) ogf] A289260 10.5045 [(x^4-x^3+x^2-x+1)*(x+1)^2/(x-1)/(2*x^3+x-1) ogf] A289261 7.77021 [(x-1)*(x^4+1)*(x^2+1)*(x+1)^2/(2*x^7-2*x^6+x^5-2*x^4+2*x^3-x^2+2*x-1) ogf] A289262 8.37985 [(x^6-x^5+x^4-x^3+x^2-x+1)*(x+1)^2/(2*x^6-2*x^5+x^4-2*x^3+x^2-2*x+1) ogf] A289296 9.03614 [-(2*x^5+4*x^4+24*x^3+12*x^2+6*x)/(2*x^6+x^5+3*x^4-6*x^2-x+1) lgdogf] A289296 9.91060 [-(2*x^4+x^3+5*x^2+x-1)/(x+1)^2/(x-1)^3 ogf] A289306 5.12599 [-f(x)*(5*f(x)*x^4-10*f(x)*x^3-x^4+10*f(x)*x^2+4*x^3-5*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A289306 7.88190 [-(-10*x^3+10*x^2-5*x+1)/(5*x^5-15*x^4+20*x^3-15*x^2+6*x-1) lgdogf] A289306 8.42548 [(x-1)^4/(5*x^4-10*x^3+10*x^2-5*x+1) ogf] A289321 5.30892 [f(x)*(5*f(x)*x^4-10*f(x)*x^3+x^4+10*f(x)*x^2-3*x^3-5*f(x)*x+3*x^2+f(x)-x) ogf] A289321 8.63499 [-x*(x-1)^3/(5*x^4-10*x^3+10*x^2-5*x+1) ogf] A289380 29.1376 [-9*x^9-x^8+10 ogf_with_Euler_transform] A289387 5.41631 [f(x)*(5*f(x)*x^4-10*f(x)*x^3-x^4+10*f(x)*x^2+2*x^3-5*f(x)*x-x^2+f(x)) ogf] A289387 8.98148 [x^2*(x-1)^2/(5*x^4-10*x^3+10*x^2-5*x+1) ogf] A289388 10.5276 [-x^3*(x-1)/(5*x^4-10*x^3+10*x^2-5*x+1) ogf] A289388 6.85743 [-5*f(x)*x^4+10*f(x)*x^3-x^4-10*f(x)*x^2+x^3+5*f(x)*x-f(x) ogf] A289388 7.25689 [-(15*x^4-40*x^3+40*x^2-20*x+4)/(5*x^5-15*x^4+20*x^3-15*x^2+6*x-1) lgdogf] A289389 13.3932 [x^4/(5*x^4-10*x^3+10*x^2-5*x+1) ogf] A289389 6.40545 [f(x)*(5*f(x)*x^4-10*f(x)*x^3-x^4+10*f(x)*x^2-5*f(x)*x+f(x)) ogf] A289389 8.66621 [-(-20*x^3+30*x^2-20*x+5)/(-5*x^4+10*x^3-10*x^2+5*x-1) lgdogf] A289399 15.3402 [-(9*x-7)/(3*x^2-4*x+1) lgdogf] A289399 16.0072 [-3*x/(x-1)/(3*x-1)^2 ogf] A289399 6.51620 [{a(n+3)-7*a(n+2)+15*a(n+1)-9*a(n),a(0)=0,a(1)=3,a(2)=21} ogf] A289399 7.3633 [(7*f(x)+3)*(9*f(x)*x^3-15*f(x)*x^2+7*f(x)*x-f(x)+3*x) ogf] A289404 10.9538 [-(-30*x^2+20*x+1)/(-10*x^3+10*x^2+x-1) lgdogf] A289404 19.0990 [1/(x-1)/(10*x^2-1) ogf] A289404 6.47704 [{a(n+3)-a(n+2)-10*a(n+1)+10*a(n),a(0)=1,a(1)=1,a(2)=11} ogf] A289404 7.16211 [(111*f(x)+32)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+f(x)-1) ogf] A289405 17.0245 [1/(10*x-1)/(10*x^2-1) ogf] A289405 5.86559 [{a(n+3)-10*a(n+2)-10*a(n+1)+100*a(n),a(0)=1,a(1)=10,a(2)=110} ogf] A289405 6.52342 [(111*f(x)+230)*(100*f(x)*x^3-10*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A289405 9.69451 [-(300*x^2-20*x-10)/(100*x^3-10*x^2-10*x+1) lgdogf] A289414 15.1035 [-(10*x-1)/(90*x^2-20*x+1) ogf] A289414 7.71242 [-(31*f(x)+69)*(90*f(x)*x^2-20*f(x)*x+f(x)+10*x-1) ogf] A289414 8.52902 [{a(n+2)-20*a(n+1)+90*a(n),a(0)=1,a(1)=10} ogf] A289414 9.79685 [-(-900*x^2+180*x-10)/(-900*x^3+290*x^2-30*x+1) lgdogf] A289415 13.5805 [-(11*x-1)/(110*x^2-22*x+1) ogf] A289415 7.00467 [-(34*f(x)+87)*(110*f(x)*x^2-22*f(x)*x+f(x)+11*x-1) ogf] A289415 7.73771 [{a(n+2)-22*a(n+1)+110*a(n),a(0)=1,a(1)=11} ogf] A289415 8.75583 [-(-1210*x^2+220*x-11)/(-1210*x^3+352*x^2-33*x+1) lgdogf] A289418 12.9330 [-1/(3*x-1)/(x-1)/(x^3-6*x^2+5*x-1) ogf] A289418 6.96392 [-(-15*x^4+88*x^3-120*x^2+58*x-9)/(-3*x^5+22*x^4-40*x^3+29*x^2-9*x+1) lgdogf] A289419 10.9442 [1/(2*x-1)/(2*x^2-4*x+1)/(x^3-6*x^2+5*x-1) ogf] A289420 9.49341 [-1/(2*x-1)/(x-1)/(2*x^2-4*x+1)/(x^3-9*x^2+6*x-1) ogf] A289421 8.32511 [1/(x-1)/(x^2-3*x+1)/(5*x^2-5*x+1)/(x^3-9*x^2+6*x-1) ogf] A289422 7.16244 [-1/(x^2-3*x+1)/(5*x^2-5*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A289423 6.32368 [1/(x-1)/(3*x-1)/(2*x-1)/(x^2-4*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A289432 13.1367 [-x^3*(x^4+1)/(x^7+x^5+x-1) ogf] A289433 14.9278 [-(x+1)*(x^2-x+1)/(x^7+x^5+x-1) ogf] A289443 10.4397 [-(-3*x^4+12*x^3-21*x^2-6)/(3*x^5-10*x^4+7*x^3-2*x+2) lgdogf] A289443 13.9731 [(3*x^4-7*x^3-2)/(x-1)^3 ogf] A289443 7.50621 [(268*f(x)-11279)*(f(x)*x^3-3*x^4-3*f(x)*x^2+7*x^3+3*f(x)*x-f(x)+2) ogf] A289521 10.1019 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=4,a(1)=7} ogf] A289521 12.0052 [-(-27*x^2+24*x-7)/(-27*x^3+48*x^2-25*x+4) lgdogf] A289521 18.4079 [-(9*x-4)/(3*x-1)/(x-1) ogf] A289521 9.20394 [-(4*f(x)+33)*(3*f(x)*x^2-4*f(x)*x+f(x)+9*x-4) ogf] A289557 3.99497 [{(-1728*n^2-4608*n-2964)*a(n+1)+(n^2+4*n+4)*a(n+2),a(0)=1,a(1)=84} ogf] A289586 10.2427 [{-a(n+3)+5*a(n+1),a(0)=1,a(1)=5,a(2)=12} ogf] A289586 10.8829 [-(24*f(x)+1)*(5*f(x)*x^2+7*x^2-f(x)+5*x+1) ogf] A289586 11.4557 [-(25*x^2+24*x+5)/(35*x^4+25*x^3-2*x^2-5*x-1) lgdogf] A289586 17.7680 [-(7*x^2+5*x+1)/(5*x^2-1) ogf] A289643 11.4601 [-x*(5*x+3)/(x-1)^5 ogf] A289643 17.1902 [-(20*x+20)/(5*x^2-2*x-3) lgdogf] A289643 5.65466 [{(6+3*n)*a(n+3)+(-18+2*n)*a(n+2)+(-20-5*n)*a(n+1),a(0)=0,a(1)=3,a(2)=20} ogf] A289657 7.42223 [-(2*x^9-x^8+x^7+3*x^5+2*x^4+x^3-x+1)/(x+1)/(x^2+x+1)/(x-1)^5 ogf] A289658 6.62210 [-(2*x^9-x^8-2*x^7-x^5-2*x^4+6*x^3+2*x^2-2*x+1)/(x+1)^2/(x-1)^7 ogf] A289666 5.11386 [(3*f(x)+2)*(f(x)*x^5+x^5+f(x)*x^3+3*f(x)*x^2+x^3-4*f(x)*x+2*x^2+f(x)-x) ogf] A289666 8.90190 [-x*(x^4+x^2+2*x-1)/(x^2+x-1)/(x^3-x^2+3*x-1) ogf] A289683 11.6707 [-f(x)^2-2*f(x)*x+4*f(x)-3 egf] A289683 17.8302 [1/(x^2-4*x+1)^(1/2) lgdegf] A289684 3.89916 [{(16*n+24)*a(n)+(12*n+12)*a(n+1)+(-8*n-18)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=9,a(3)=42} ogf] A289684 6.63541 [-I/(4*x^2+4*x-1)/x/(-1+4*x)^(1/2)*(-1+6*x)+(2*x-1)/(4*x^2+4*x-1)/x lgdogf] A289684 6.69412 [-4*f(x)^2*x^2-4*f(x)^2*x+4*f(x)*x^2+f(x)^2+2*f(x)*x-x^2-f(x) ogf] A289692 4.68814 [f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-x^3-3*f(x)*x+x^2+f(x)-x ogf] A289692 7.12855 [x*(x^2-x+1)/(x-1)/(x^3-x^2+2*x-1) ogf] A289693 4.48340 [-x^2*(x^2-x+1)*(x^4-x^3+3*x^2-2*x+1)/(x-1)/(x^3-x^2+2*x-1)/(x^5-x^4+4*x^3-3*x^2+3*x-1) ogf] A289705 7.04279 [-3*x^2*(7*x+5)*(x^2-x-1)/(x+1)^2/(x-1)^6 ogf] A289705 8.27356 [-(-35*x^4-16*x^3+71*x^2+92*x+32)/(-7*x^5+2*x^4+19*x^3+3*x^2-12*x-5) lgdogf] A289706 5.16507 [12*x^2*(24*x^5+28*x^4-16*x^3-39*x^2-19*x-2)/(x+1)^3/(x-1)^7 ogf] A289721 10.1475 [(x^4+5*x^3+15*x^2+5*x+1)/(x-1)^4 ogf] A289721 4.00316 [{(-n^2+11*n)*a(n)+(-36*n^2-114*n+30)*a(n+1)+(15*n^2-171*n-258)*a(n+2)+(22*n^2+94*n+84)*a(n+3),a(0)=1,a(1)=9,a(2)=45} ogf] A289721 5.89655 [(25*f(x)+98)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2-5*x^3-4*f(x)*x-15*x^2+f(x)-5*x-1) ogf] A289721 9.48575 [-(-9*x^3-45*x^2-45*x-9)/(-x^5-4*x^4-10*x^3+10*x^2+4*x+1) lgdogf] A289761 12.7363 [(3*x^6-4*x^5-3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A289763 5.86007 [(1000*x^4-100*x^2+10*x-1)/(x-1)/(10*x-1)/(100*x^2+1)/(10*x^2-1) ogf] A289764 8.34651 [(2*x^4-x^2+x-1)/(2*x-1)/(x-1)/(x^2+1)/(2*x^2-1) ogf] A289765 8.27766 [(8*x^4-4*x^2+2*x-1)/(2*x-1)/(x-1)/(4*x^2+1)/(2*x^2-1) ogf] A289779 7.33534 [-(x+1)*(x^3-4*x^2+2*x-1)/(x^6-5*x^5+12*x^4-22*x^3+16*x^2-7*x+1) ogf] A289780 10.9861 [(x^2-x+1)/(x^4-5*x^3+7*x^2-5*x+1) ogf] A289780 5.61513 [-(98*f(x)+11)*(f(x)*x^4-5*f(x)*x^3+7*f(x)*x^2-5*f(x)*x-x^2+f(x)+x-1) ogf] A289781 11.4320 [-(x-1)*(x+1)/(x^4+3*x^3-x^2-3*x+1) ogf] A289781 5.71601 [-(11*f(x)-2)*(f(x)*x^4+3*f(x)*x^3-f(x)*x^2-3*f(x)*x+x^2+f(x)-1) ogf] A289781 6.88038 [-(2*x^5+3*x^4-4*x^3-6*x^2+3)/(x^6+3*x^5-2*x^4-6*x^3+2*x^2+3*x-1) lgdogf] A289782 5.23634 [(2605*f(x)-316)*(f(x)*x^4-7*f(x)*x^3+2*f(x)*x^2+2*x^3+4*f(x)*x-5*x^2-f(x)+x+2) ogf] A289782 9.65664 [-(x-1)*(x-2)*(2*x+1)/(x^4-7*x^3+2*x^2+4*x-1) ogf] A289783 10.6091 [-(-22*x^2+22*x-5)/(-22*x^3+25*x^2-9*x+1) lgdogf] A289783 15.6830 [-(2*x-1)/(11*x^2-7*x+1) ogf] A289783 8.19793 [(13*f(x)+12)*(11*f(x)*x^2-7*f(x)*x+f(x)+2*x-1) ogf] A289783 8.69177 [{-a(n+2)+7*a(n+1)-11*a(n),a(0)=1,a(1)=5} ogf] A289784 10.4516 [-(-57*x^2+38*x-6)/(-57*x^3+46*x^2-12*x+1) lgdogf] A289784 15.6775 [-(3*x-1)/(19*x^2-9*x+1) ogf] A289784 8.38562 [(4*f(x)+5)*(19*f(x)*x^2-9*f(x)*x+f(x)+3*x-1) ogf] A289784 8.68871 [{-a(n+2)+9*a(n+1)-19*a(n),a(0)=1,a(1)=6} ogf] A289785 14.9291 [-(4*x-1)/(29*x^2-11*x+1) ogf] A289785 7.88389 [(19*f(x)+30)*(29*f(x)*x^2-11*f(x)*x+f(x)+4*x-1) ogf] A289785 8.35317 [{-a(n+2)+11*a(n+1)-29*a(n),a(0)=1,a(1)=7} ogf] A289785 9.88262 [-(-116*x^2+58*x-7)/(-116*x^3+73*x^2-15*x+1) lgdogf] A289786 10.4438 [-(x+1)*(2*x^2-x+1)/(x^4+5*x^3-6*x^2+5*x-1) ogf] A289786 5.56492 [(401*f(x)+132)*(f(x)*x^4+5*f(x)*x^3-6*f(x)*x^2+2*x^3+5*f(x)*x+x^2-f(x)+1) ogf] A289787 10.8536 [2*(x^2+1)/(x^4-6*x^3+6*x^2-6*x+1) ogf] A289787 5.51161 [(369*f(x)+64)*(f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x-2*x^2+f(x)-2) ogf] A289788 11.5388 [(x^2+1)/(x^4-6*x^3+6*x^2-6*x+1) ogf] A289788 5.85954 [(369*f(x)+32)*(f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x-x^2+f(x)-1) ogf] A289788 6.52191 [-(2*x^5-6*x^4+4*x^3-12*x^2+10*x-6)/(x^6-6*x^5+7*x^4-12*x^3+7*x^2-6*x+1) lgdogf] A289789 5.19972 [(5570*f(x)+3893)*(5*f(x)*x^4+5*f(x)*x^3-5*f(x)*x^2+6*x^3+5*f(x)*x+x^2-f(x)+x+1) ogf] A289789 9.65664 [-(2*x+1)*(3*x^2-x+1)/(5*x^4+5*x^3-5*x^2+5*x-1) ogf] A289790 4.96095 [-(3269*f(x)+473)*(f(x)*x^4+8*f(x)*x^3-5*f(x)*x^2+2*x^3+6*f(x)*x+4*x^2-f(x)+x+2) ogf] A289790 9.40647 [-(x+2)*(2*x^2+1)/(x^4+8*x^3-5*x^2+6*x-1) ogf] A289792 11.4017 [-(35*x^2-22*x+36)/(7*x^3-13*x^2+12*x-6) lgdogf] A289792 7.21757 [-15*x^4*(7*x^2-6*x+6)/(x-1)^7 ogf] A289793 10.3874 [-(294*x^2-210*x-252)/(49*x^3-93*x^2+18*x+26) lgdogf] A289793 6.40559 [-12*x^4*(49*x^2-44*x-26)/(x-1)^8 ogf] A289794 5.17264 [40*x^4*(116*x^3+102*x^2-237*x-23)/(x-1)^9 ogf] A289794 7.60061 [-(-696*x^3-1062*x^2+1692*x+444)/(-116*x^4+14*x^3+339*x^2-214*x-23) lgdogf] A289795 10.7067 [3*(x^2+x+1)/(x^4-7*x^3+3*x^2-7*x+1) ogf] A289795 5.55458 [(674*f(x)+117)*(f(x)*x^4-7*f(x)*x^3+3*f(x)*x^2-7*f(x)*x-3*x^2+f(x)-3*x-3) ogf] A289795 6.42399 [-(2*x^5-4*x^4-10*x^3-11*x^2+4*x-8)/(x^6-6*x^5-3*x^4-11*x^3-3*x^2-6*x+1) lgdogf] A289796 10.2139 [(x^2+x+1)/(x^4-7*x^3+3*x^2-7*x+1) ogf] A289796 5.33907 [(674*f(x)+39)*(f(x)*x^4-7*f(x)*x^3+3*f(x)*x^2-7*f(x)*x-x^2+f(x)-x-1) ogf] A289797 7.47719 [-(x^3-3*x^2+2*x-1)/(x^6-6*x^5+16*x^4-23*x^3+17*x^2-7*x+1) ogf] A289798 10.3367 [(2*x^2-2*x+1)/(4*x^4-14*x^3+15*x^2-7*x+1) ogf] A289798 5.47689 [(403*f(x)+48)*(4*f(x)*x^4-14*f(x)*x^3+15*f(x)*x^2-7*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A289799 5.39124 [(x^2+4*x+1)*(x^4-3*x^3+10*x^2-3*x+1)/(x^8-9*x^7+27*x^6-55*x^5+36*x^4-55*x^3+27*x^2-9*x+1) ogf] A289800 4.54091 [-f(x)^2*x^4-12*f(x)^2*x^3-13*f(x)^2*x^2-2*f(x)*x^3+8*f(x)^2*x-16*f(x)*x^2-f(x)^2+4*f(x)*x-x^2-4*x+1 ogf] A289801 5.80906 [(x^4-4*x^3+6*x^2-3*x+1)/(x^8-8*x^7+28*x^6-57*x^5+74*x^4-62*x^3+31*x^2-9*x+1) ogf] A289802 6.54582 [-(x^4-2*x^3+x-1)/(x^8-4*x^7+4*x^6+5*x^5-12*x^4+4*x^3+5*x^2-5*x+1) ogf] A289803 10.8522 [(x-1)^2/(x^4-7*x^3+13*x^2-7*x+1) ogf] A289803 5.62707 [-(65*f(x)+2)*(f(x)*x^4-7*f(x)*x^3+13*f(x)*x^2-7*f(x)*x-x^2+f(x)+2*x-1) ogf] A289803 7.52135 [-(2*x^4-11*x^3+21*x^2-19*x+5)/(x^5-8*x^4+20*x^3-20*x^2+8*x-1) lgdogf] A289804 5.14975 [{a(n+4)-7*a(n+3)+15*a(n+2)-9*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=29} ogf] A289804 5.29688 [(11*f(x)+12)*(f(x)*x^4+9*f(x)*x^3-15*f(x)*x^2+2*x^3+7*f(x)*x+3*x^2-f(x)-4*x+1) ogf] A289804 9.50723 [-(2*x-1)*(x^2+2*x-1)/(x^4+9*x^3-15*x^2+7*x-1) ogf] A289805 6.91026 [-(x^2-x+2)*(2*x^3-2*x^2+x+1)/(x^6-2*x^5+8*x^4-8*x^3+2*x^2+4*x-1) ogf] A289806 8.77769 [(x^3-x^2+1)/(x^6-2*x^5-2*x^4+5*x^3-x^2-3*x+1) ogf] A289807 8.76306 [-(x^2-x-1)/(x^6-2*x^5-x^4+5*x^3-2*x^2-3*x+1) ogf] A289809 5.81256 [(x^3+x^2-2*x-1)*(x^3-x-1)/(x^2-x-1)/(x^6-4*x^4-x^3+4*x^2+2*x-1) ogf] A289810 4.52622 [f(x)^2*x^4+12*f(x)^2*x^3+13*f(x)^2*x^2+4*f(x)*x^3-8*f(x)^2*x+8*f(x)*x^2+f(x)^2-2*f(x)*x+4*x^2+4*x-1 ogf] A289837 4.91766 [-(8*x^7+5*x^6+25*x^5-91*x^4+92*x^3-43*x^2+10*x-1)/(2*x-1)^3/(x-1)^5 ogf] A289843 7.64998 [(x^4-2*x^2+x+1)/(x^2-x-1)/(x^6+x^5-2*x^4-2*x^3+2*x^2+2*x-1) ogf] A289844 7.34124 [(x^6-2*x^3+x+1)/(x^12-4*x^9-x^7+6*x^6+2*x^4-4*x^3-x^2-x+1) ogf] A289845 7.96235 [-(x-1)*(x^3+x^2+2*x+1)/(x^8+2*x^6+x^5-x^4+x^3-3*x^2-x+1) ogf] A289846 11.2496 [-(x^2-x-1)/(x^4+x^3-3*x^2-x+1) ogf] A289846 5.46637 [{-a(n+4)+a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A289846 6.01725 [(8*f(x)+9)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2-f(x)*x+x^2+f(x)-x-1) ogf] A289846 7.76225 [-(-2*x^5+2*x^4+6*x^3-x^2-4*x-2)/(-x^6+5*x^4-x^3-5*x^2+1) lgdogf] A289864 7.40841 [-(2*x^5-5*x^4-3*x^3+3*x^2-2*x+2)/(x+1)/(2*x-1)/(x-1)^4 ogf] A289870 4.99131 [{(-n^2-7*n-12)*a(n+1)+(-4-n)*a(n+2)+(n^2+4*n+3)*a(n+3),a(0)=-1,a(1)=2,a(2)=3} ogf] A289870 9.26164 [-(6*x^4+12*x^3+24*x^2+4*x+2)/(3*x^5+3*x^4-4*x^2-3*x+1) lgdogf] A289870 9.80645 [-(3*x^3+3*x^2+3*x-1)/(x+1)^2/(x-1)^3 ogf] A289873 10.8701 [(x^2-x-1)*(x^5+2*x^4-x^3+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A289877 7.45709 [(3*x^4-3*x^3-3*x^2+5*x+1)/(x+1)/(x-1)^4 ogf] A289896 3.31910 [{(n^2+9*n+20)*a(n+1)+(-2*n^2-16*n-30)*a(n+2)+(n^2+8*n+15)*a(n+3)+(-n-2)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=8} ogf] A289914 10.3890 [(x^4-x^3+x^2-x+1)*(x+1)^2/(x^4-2*x^3+x^2-2*x+1) ogf] A289916 8.65844 [(x^6-x^5+x^4-x^3+x^2-x+1)*(x+1)^2/(x^2-x+1)/(x^4-x^3-x^2-x+1) ogf] A289918 11.2085 [-(6*x^5-6*x^2-2*x)/(x^6-2*x^3-x^2+1) lgdogf] A289918 16.4696 [x/(x^3+x-1)/(x^3-x-1) ogf] A289919 10.2294 [-(2*x^3+x-2)/(x^3+x-1)^2 ogf] A289919 8.20484 [-(-6*x^5-3*x^3+6*x^2-x+3)/(-2*x^6-3*x^4+4*x^3-x^2+3*x-2) lgdogf] A289920 10.2043 [-(x^3-x-1)/(x^6+x^4-2*x^3-x^2-x+1) ogf] A289921 5.26252 [(x-1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x^10+x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+x-1) ogf] A289927 5.41383 [-(x^3-x^2+1)*(x^3-x-1)/(x^8+3*x^7-4*x^6-7*x^5+5*x^4+7*x^3-4*x^2-3*x+1) ogf] A289948 4.21563 [{(-n^3-9*n^2-27*n-27)*a(n+1)+(n^3+9*n^2+27*n+28)*a(n+2)-a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A289975 11.7268 [-x*(x-1)/(x^4+3*x^3-2*x^2-2*x+1) ogf] A289975 5.90883 [-(7*f(x)-2)*(f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x+x^2+f(x)-x) ogf] A289975 8.56448 [-(3*x^4+2*x^3-11*x^2+4*x+1)/(x^5+2*x^4-5*x^3+3*x-1) lgdogf] A289976 7.59280 [-x^2*(x-1)^2*(x+1)/(x^6-x^5-2*x^4-x^3+x^2+2*x-1) ogf] A289977 7.90749 [-x^3*(x-1)*(x^3+x^2-1)/(x^8-x^6-x^5-2*x^3+x^2+2*x-1) ogf] A289992 3.87327 [(x+1)*(x^2+6*x+1)*(x^4+32*x^3+70*x^2+32*x+1)/(x-1)^10 ogf] A289999 13.5336 [-(56*x^2-42*x+13)/(x-1)/(2*x-1)/(4*x-1) ogf] A289999 7.03749 [-(1059*f(x)-3820)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+56*x^2-f(x)-42*x+13) ogf] A289999 7.45497 [-(448*x^4-672*x^3+508*x^2-252*x+49)/(448*x^5-1120*x^4+1084*x^3-532*x^2+133*x-13) lgdogf] A289999 7.51869 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=13,a(1)=49,a(2)=217} ogf] A290004 6.80259 [-3*(24*x^3+28*x^2-11*x+1)/(3*x-1)/(9*x-1)/(18*x-1)/(2*x^2-5*x+1) ogf] A290011 7.13804 [(19*x^2-43*x-6)/(x-1)^7 egf] A290011 9.95304 [-(-95*x^2+220*x+85)/(-19*x^3+62*x^2-37*x-6) lgdegf] A290026 14.0705 [4*x^2/(2*x-1)^4 ogf] A290026 28.1410 [8/(-2*x+1) lgdogf] A290026 7.43347 [{n*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=4} ogf] A290026 7.72497 [-16*f(x)*x^4+32*f(x)*x^3-24*f(x)*x^2+8*f(x)*x+4*x^2-f(x) ogf] A290027 13.9545 [-(-192*x-34)/(-48*x^2+22*x+1) lgdogf] A290027 4.83392 [{(-1-n)*a(n+3)+(34-22*n)*a(n+2)+(144+48*n)*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A290027 8.91071 [-3*x^2*(24*x+1)/(2*x-1)^5 ogf] A290028 13.6716 [-(-230*x-59)/(-46*x^2+17*x+3) lgdogf] A290028 4.58604 [{-3*n*a(n+3)+(76-17*n)*a(n+2)+(138+46*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=288} ogf] A290028 7.31914 [96*x^3*(23*x+3)/(2*x-1)^6 ogf] A290029 5.65860 [-160*x^3*(634*x^2+161*x+4)/(2*x-1)^7 ogf] A290029 8.88185 [-(6340*x^2+3200*x+217)/(1268*x^3-312*x^2-153*x-4) lgdogf] A290031 14.0599 [16*x^3/(2*x-1)^4 ogf] A290031 28.6220 [8/(-2*x+1) lgdogf] A290031 6.36045 [{(-1+n)*a(n+2)+(-4-2*n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=16} ogf] A290031 7.78074 [-16*f(x)*x^4+32*f(x)*x^3-24*f(x)*x^2+16*x^3+8*f(x)*x-f(x) ogf] A290055 14.3099 [-(-7*x^3-33*x^2-15*x-5)/(-x^4-4*x^3+4*x+1) lgdogf] A290055 9.37106 [-x*(x^2+4*x+1)/(x+1)^4/(x-1)^5 ogf] A290056 6.63116 [-(4*x^5-21*x^4+29*x^3-18*x^2+6*x-1)/(2*x-1)^2/(x-1)^4 ogf] A290061 8.37376 [-(-2*x^4+8*x^3-9*x^2-2*x-10)/(-2*x^5+10*x^4-19*x^3+16*x^2-8*x+3) lgdogf] A290061 8.72267 [-(2*x^4-8*x^3+11*x^2-5*x+3)/(x-1)^5 ogf] A290070 4.71625 [-(1961177012201*f(x)+5307436668929)*(10*f(x)*x^3-100*x^4-f(x)*x^2-90*x^3-10*f(x)*x+f(x)-1) ogf] A290070 4.71625 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=10,a(2)=101,a(3)=1100,a(4)=11101} ogf] A290070 9.97150 [(100*x^4+90*x^3+1)/(x-1)/(10*x-1)/(x+1) ogf] A290071 6.16560 [x*(6*x^5-36*x^4+88*x^3-111*x^2+77*x-39)/(x-1)^7 ogf] A290072 4.63553 [{a(n+5)-a(n+4)-100*a(n+3)+100*a(n+2),a(0)=1,a(1)=1,a(2)=101,a(3)=11,a(4)=10111} ogf] A290072 4.75833 [-(10220967117020*f(x)-7093416817849)*(100*f(x)*x^3-100*x^4-100*f(x)*x^2+90*x^3-f(x)*x+f(x)-1) ogf] A290072 9.97926 [(100*x^4-90*x^3+1)/(10*x-1)/(10*x+1)/(x-1) ogf] A290073 11.9419 [(4*x^4+2*x^3+1)/(x-1)/(2*x-1)/(x+1) ogf] A290073 5.31661 [{a(n+5)-2*a(n+4)-a(n+3)+2*a(n+2),a(0)=1,a(1)=2,a(2)=5,a(3)=12,a(4)=29} ogf] A290073 6.25988 [-(1431*f(x)-425)*(2*f(x)*x^3-4*x^4-f(x)*x^2-2*x^3-2*f(x)*x+f(x)-1) ogf] A290073 7.32288 [-(8*x^6-8*x^5-26*x^4+8*x^3+2*x+2)/(-8*x^7+10*x^5-4*x^3+x^2+2*x-1) lgdogf] A290074 12.0439 [(4*x^4-2*x^3+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A290074 5.39898 [{a(n+5)-a(n+4)-4*a(n+3)+4*a(n+2),a(0)=1,a(1)=1,a(2)=5,a(3)=3,a(4)=23} ogf] A290074 6.36465 [(13932*f(x)+10159)*(4*f(x)*x^3-4*x^4-4*f(x)*x^2+2*x^3-f(x)*x+f(x)-1) ogf] A290075 10.2386 [-(x^4-x^3+2*x^2+x-1)/(2*x-1)/(2*x^2-1) ogf] A290075 5.47482 [{a(n+5)-2*a(n+4)-2*a(n+3)+4*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=5} ogf] A290075 7.50833 [-4*f(x)*x^3-x^4+2*f(x)*x^2+x^3+2*f(x)*x-2*x^2-f(x)-x+1 ogf] A290081 17.2406 [2*x^7/(x^8+1) ogf_with_Euler_transform] A290111 11.2581 [(100*x^3-10*x^2+1)/(x-1)/(10*x-1) ogf] A290111 5.72135 [{a(n+4)-11*a(n+3)+10*a(n+2),a(0)=1,a(1)=11,a(2)=101,a(3)=1101} ogf] A290111 6.28834 [(282091*f(x)+69349)*(10*f(x)*x^2-100*x^3-11*f(x)*x+10*x^2+f(x)-1) ogf] A290111 6.52341 [-(-1000*x^4+2200*x^3-410*x^2+40*x-11)/(1000*x^5-1200*x^4+210*x^3-11*x+1) lgdogf] A290112 11.4427 [(10*x^3-10*x^2+1)/(x-1)/(10*x-1) ogf] A290112 5.72135 [{-a(n+4)+11*a(n+3)-10*a(n+2),a(0)=1,a(1)=11,a(2)=101,a(3)=1011} ogf] A290112 6.17704 [-(91183*f(x)-56039)*(10*f(x)*x^2-10*x^3-11*f(x)*x+10*x^2+f(x)-1) ogf] A290112 6.77675 [-(100*x^4-220*x^3+140*x^2-40*x+11)/(-100*x^5+210*x^4-120*x^3+11*x-1) lgdogf] A290113 13.6180 [(2*x+1)*(2*x^2-2*x+1)/(2*x-1)/(x-1) ogf] A290113 6.74978 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=1,a(1)=3,a(2)=5,a(3)=13} ogf] A290113 7.53616 [-(83*f(x)+29)*(2*f(x)*x^2-4*x^3-3*f(x)*x+2*x^2+f(x)-1) ogf] A290113 8.43723 [-(8*x^4-24*x^3+18*x^2-8*x+3)/(-8*x^5+16*x^4-10*x^3+3*x-1) lgdogf] A290114 14.1673 [(2*x^3-2*x^2+1)/(2*x-1)/(x-1) ogf] A290114 7.02205 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=1,a(1)=3,a(2)=5,a(3)=11} ogf] A290114 7.84016 [-(31*f(x)+25)*(2*f(x)*x^2-2*x^3-3*f(x)*x+2*x^2+f(x)-1) ogf] A290114 8.87402 [-(4*x^4-12*x^3+12*x^2-8*x+3)/(-4*x^5+10*x^4-8*x^3+3*x-1) lgdogf] A290124 10.0067 [{-a(n+2)+a(n+1)+12*a(n),a(0)=1,a(1)=2} ogf] A290124 12.9774 [-(-12*x^2-24*x-2)/(-12*x^3-13*x^2+1) lgdogf] A290124 18.0555 [-(x+1)/(3*x+1)/(4*x-1) ogf] A290124 9.43808 [(61*f(x)-57)*(12*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A290127 4.21958 [-(24*x^8-192*x^7+666*x^6-1306*x^5+1585*x^4-1233*x^3+629*x^2-108*x+40)/(x-1)^9 ogf] A290140 8.54831 [-(x+1)*(x^4-4*x^3+3*x^2-2*x+1)/(x^2+x-1)/(x-1)^2 ogf] A290147 14.5318 [-1/2+1/2*(-8*x^2+4*x+1)^(1/2) revogf] A290147 16.7923 [-x-1+f(x)-2*f(x)^2*x ogf] A290147 3.54767 [{(-16*n^2-16*n)*a(n)+(-24*n^2-72*n-48)*a(n+1)+(-6*n^2-36*n-54)*a(n+2)+(n^2+7*n+12)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A290157 4.62736 [{a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=151646890045,a(1)=836564809606,a(2)=942785024683} ogf] A290157 7.21470 [(45426674968*x^2-684917919561*x-151646890045)/(x^3+x^2+x-1) ogf] A290168 6.32410 [x^2*(3*x^2+x+2)/(x+1)^3/(x-1)^4 ogf] A290168 7.78944 [-(15*x^3+9*x^2+21*x+3)/(3*x^4+x^3-x^2-x-2) lgdogf] A290186 10.8413 [-(2*x^3+6*x^2+6*x-5)/(x^4+4*x^3-x^2-3*x+1) lgdogf] A290186 16.3643 [(x+1)/(x^3+3*x^2-4*x+1) ogf] A290186 7.67527 [{a(n+3)-4*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=17} ogf] A290186 7.7438 [-(4501*f(x)+342)*(f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)-x-1) ogf] A290191 11.6334 [(10*x^2+1)/(x-1)/(10*x-1)/(x+1) ogf] A290191 5.67484 [-(12221*f(x)+145510)*(10*f(x)*x^3-f(x)*x^2-10*f(x)*x-10*x^2+f(x)-1) ogf] A290191 5.96585 [{a(n+3)-10*a(n+2)-a(n+1)+10*a(n),a(0)=1,a(1)=10,a(2)=111} ogf] A290191 7.05056 [-(-100*x^4-130*x^2+22*x+10)/(-100*x^5+10*x^4+90*x^3-9*x^2+10*x-1) lgdogf] A290192 4.23033 [{10*a(n+2)+a(n+1)-10*a(n)-a(n+3),a(0)=1,a(1)=10,a(2)=101,a(3)=1101,a(4)=11100,a(5)=111101} ogf] A290192 8.94878 [(10*x^5+89*x^4+91*x^3+1)/(x-1)/(10*x-1)/(x+1) ogf] A290193 4.38114 [{-a(n+3)+a(n+2)+100*a(n+1)-100*a(n),a(0)=1,a(1)=1,a(2)=101,a(3)=1011,a(4)=111,a(5)=101111} ogf] A290193 8.25870 [(10000*x^5-10900*x^4+910*x^3+1)/(10*x-1)/(10*x+1)/(x-1) ogf] A290194 10.6332 [(2*x^5+x^4+3*x^3+1)/(x-1)/(2*x-1)/(x+1) ogf] A290194 5.14056 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=5,a(3)=13,a(4)=28,a(5)=61} ogf] A290195 10.4380 [(16*x^5-20*x^4+6*x^3+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A290195 5.21901 [{4*a(n+1)-4*a(n)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=5,a(3)=11,a(4)=7,a(5)=47} ogf] A290196 8.61735 [-(90*x^5-9*x^4-90*x^3-x^2+x-1)/(x-1)/(10*x-1) ogf] A290197 8.10731 [(9000*x^5-9000*x^4-90*x^3+100*x^2-10*x+1)/(x-1)/(10*x-1) ogf] A290198 10.0808 [-(2*x^5-x^4-2*x^3-x^2+x-1)/(2*x-1)/(x-1) ogf] A290199 10.3043 [(8*x^5-8*x^4-2*x^3+4*x^2-2*x+1)/(2*x-1)/(x-1) ogf] A290220 10.2114 [2*x*(2*x^8+4*x^7+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A290221 11.1692 [-2*x*(2*x^8+4*x^7+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)/(x-1)/(x^2+x+1) ogf] A290232 8.61735 [(10*x^3-1)/(x-1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A290233 8.70560 [(100*x^3-1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A290234 10.5853 [(2*x^3-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A290235 10.8328 [(4*x^3-1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A290237 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290268 5.57401 [-(x^9+2*x^8+x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+x+1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A290270 7.93204 [-(x^6+6*x^5-7*x^4-5*x^3+x+3)/(x-1)/(x^6-x^4-x^3-x^2+1) ogf] A290273 9.66635 [-(2*x^5-x^3-x^2-2*x-2)/(x^6-x^4-x^3-x^2+1) ogf] A290285 4.06148 [-(576*x^7-736*x^6+60*x^5-6*x^4+73*x^3-48*x^2+12*x-1)/(8*x-1)/(2*x-1)/(x+1)/(x^2-x+1)/(4*x^2+2*x+1)/(16*x^2-4*x+1) ogf] A290312 10.5530 [(x^2-3*x-1)/(x-1)^5 ogf] A290312 12.8260 [-(-3*x^2+10*x+8)/(-x^3+4*x^2-2*x-1) lgdogf] A290312 4.18938 [{(-n-4)*a(n+4)+(2-2*n)*a(n+3)+(18+4*n)*a(n+2)+(-n-4)*a(n+1),a(0)=1,a(1)=8,a(2)=29,a(3)=75} ogf] A290313 10.3010 [(x^3+2*x^2-17*x-1)/(x-1)^7 ogf] A290313 12.8460 [-(-4*x^3-13*x^2+98*x+24)/(-x^4-x^3+19*x^2-16*x-1) lgdogf] A290313 5.30053 [{(493*n^2+5611*n+15730)*a(n+1)+(-1501*n^2-14003*n-28290)*a(n+2)+(1008*n^2+5302*n+6834)*a(n+3),a(0)=1,a(1)=24,a(2)=145} ogf] A290314 6.98245 [-(2*x^4-27*x^3+49*x^2+80*x+1)/(x-1)^9 ogf] A290314 8.79271 [-(-10*x^4+154*x^3-262*x^2-738*x-89)/(-2*x^5+29*x^4-76*x^3-31*x^2+79*x+1) lgdogf] A290325 11.2545 [-3*(x^3-2*x^2+2*x+1)/(x-1)^3 ogf] A290325 11.4200 [-(-x^2-5)/(-x^4+3*x^3-4*x^2+x+1) lgdogf] A290325 5.75229 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=3,a(1)=15,a(2)=30,a(3)=51} ogf] A290325 6.41784 [(44*f(x)+93)*(f(x)*x^3-3*f(x)*x^2+3*x^3+3*f(x)*x-6*x^2-f(x)+6*x+3) ogf] A290360 11.9050 [-(9*x^2+28*x+11)/(3*x^3+x^2-3*x-1) lgdogf] A290360 3.96834 [{(n+3)*a(n+4)+(-5+3*n)*a(n+3)+(-29-n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=1,a(2)=11,a(3)=58} ogf] A290360 7.85732 [x*(3*x+1)*(x+1)^2/(x-1)^6 ogf] A290361 6.55287 [-x*(4*x^4+21*x^3+27*x^2+8*x+1)/(x-1)^7 ogf] A290361 7.35653 [-(12*x^4+100*x^3+198*x^2+102*x+15)/(4*x^5+17*x^4+6*x^3-19*x^2-7*x-1) lgdogf] A290362 5.65235 [x*(5*x^5+57*x^4+120*x^3+75*x^2+14*x+1)/(x-1)^8 ogf] A290363 4.77204 [-x*(8*x^6+135*x^5+493*x^4+537*x^3+190*x^2+21*x+1)/(x-1)^9 ogf] A290364 3.90631 [x*(13*x^7+312*x^6+1835*x^5+3272*x^4+2029*x^3+442*x^2+32*x+1)/(x-1)^10 ogf] A290379 4.20325 [-(x+1)*(2*x^9+2*x^8+3*x^7+5*x^6+3*x^5+x^4+5*x^3+x^2+4*x+2)/(2*x^11+4*x^10+5*x^9+3*x^8+2*x^7+x^6+4*x^5+4*x^4+3*x^3+x^2-1) ogf] A290381 6.50570 [-(40*x^5-12*x^4+24*x^3-49*x^2-31*x-22)/(8*x^6-4*x^5-4*x^4-5*x^3-2*x^2-x+1) ogf] A290391 11.7372 [-6*x^6*(4*x^2+5*x+5)/(x-1)^3 ogf] A290391 13.6303 [-(-4*x^2-18*x-20)/(-4*x^3-x^2+5) lgdogf] A290391 4.69488 [{(7*n^2-48*n+85)*a(n+1)+(-7*n^2+62*n-140)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=30} ogf] A290392 6.84528 [-x^4*(10*x^6+165*x^5+187*x^4+156*x^3+71*x^2+x+4)/(x-1)^3 ogf] A290396 4.94668 [(1836750*f(x)+20582789)*(48*f(x)*x^4-92*f(x)*x^3+56*f(x)*x^2+204*x^3-13*f(x)*x-290*x^2+f(x)+114*x-13) ogf] A290396 9.05016 [-(204*x^3-290*x^2+114*x-13)/(x-1)/(6*x-1)/(4*x-1)/(2*x-1) ogf] A290398 5.41884 [(f(x)+6)*(f(x)*x^4-f(x)*x^3-x^4-f(x)*x^2-6*x^3-f(x)*x-6*x^2+f(x)-6*x-1) ogf] A290398 9.24391 [(x^4+6*x^3+6*x^2+6*x+1)/(x^4-x^3-x^2-x+1) ogf] A290403 13.2503 [-(-48*x^2+48*x-48)/(-x^4+1) ogf_with_Euler_transform] A290404 99.9999 Evaluated at exp(-Pi) 27/64 A290412 5.05801 [(100*x^9-110*x^8+11*x^6-x^5+100*x^4-100*x^3+10*x^2-1)/(x-1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A290413 4.46808 [(10000000*x^9-11000000*x^8+1100000*x^6-100000*x^5+100*x^4-10*x^3+10*x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A290414 6.41508 [(4*x^9-6*x^8+3*x^6-x^5+4*x^4-4*x^3+2*x^2-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A290415 6.11298 [(128*x^9-192*x^8+96*x^6-32*x^5+4*x^4-2*x^3+2*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A290443 3.79175 [{(-48*n^3-384*n^2-996*n-840)*a(n+1)+(-8*n^3-88*n^2-322*n-392)*a(n+2)+(n^3+14*n^2+65*n+100)*a(n+3),a(0)=1,a(1)=2,a(2)=10} ogf] A290470 5.00833 [-(x+1)*(3*x^4-4*x^3-1)*(x^3-x^2-x-3)/(x^2+1)/(x^3-x^2-x-1)/(x^4-2*x^2-2*x+1) ogf] A290471 5.59779 [(x+1)*(x^6+2*x^5+5*x^4+2*x^3+4*x^2-3*x-1)/(x^3+x^2+x-1)/(x^3+x^2-1)^2 ogf] A290477 9.11255 [(5*x^4+x^3+4*x^2+x+3)/(6*x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A290492 6.30785 [[2] ogf_with_Euler_transform] A290493 10.5045 [-(6*x^5-4*x^3-2*x-1)/(x^6-x^4-x^2-x+1) ogf] A290494 6.68527 [-(4*x^6-2*x^5+x^4-4*x^3-7*x^2+2*x+5)/(x-1)/(x^6-x^4-x^2-x+1) ogf] A290503 6.09322 [30517578125*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A290525 5.76864 [(100*x^7-110*x^6+111*x^4-101*x^3+10*x^2-1)/(x-1)/(10*x-1)/(x+1)/(10*x^2-1) ogf] A290526 5.32798 [(100000*x^7-110000*x^6+11100*x^4-1010*x^3+10*x^2-1)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A290527 7.39262 [(4*x^7-6*x^6+7*x^4-5*x^3+2*x^2-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A290528 7.12246 [(32*x^7-48*x^6+28*x^4-10*x^3+2*x^2-1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1) ogf] A290535 10.353 [-(f(x)-1)^2*(104284*x^6+f(x)-1) ogf] A290539 7.98809 [(f(x)-1)*(8489565952*x^8+f(x)^2-f(x)) ogf] A290540 16.9038 [-(f(x)-1)^2 ogf] A290545 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290545 6.91094 [-(-1973000000*x^8-800000*x^7-10)/(-1981000000*x^9+198100000*x^8-10*x+1) lgdogf] A290545 8.72506 [-(99100000*x^8+1)/(10*x-1)/(99000000*x^8+1) ogf] A290561 10.5390 [(x^3+x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A290561 5.71482 [{-a(n+4)+2*a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3} ogf] A290561 5.75536 [-(3*f(x)+4)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)+x-1) ogf] A290562 10.5936 [(x^3-x^2+3*x-1)/(x^2+1)/(x-1)^2 ogf] A290562 5.74444 [-(8*f(x)+31)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)-3*x+1) ogf] A290575 3.99771 [{(-16*n^3-96*n^2-192*n-128)*a(n+1)+(24*n^3+180*n^2+452*n+380)*a(n+2)+(-n^3-9*n^2-27*n-27)*a(n+3),a(0)=1,a(1)=4,a(2)=40} ogf] A290576 2.95813 [{(-27*n^3-162*n^2-324*n-216)*a(n+1)+(-18*n^3-135*n^2-339*n-285)*a(n+2)+(n^3+9*n^2+27*n+27)*a(n+3),a(0)=1,a(1)=3,a(2)=27} ogf] A290587 5.36379 [-(8*x^10-22*x^9-46*x^8+260*x^7-461*x^6+491*x^5-363*x^4+169*x^3-50*x^2+14*x-3)/(2*x-1)^2/(x-1)^6 ogf] A290588 8.65158 [-(13*x^3+7*x^2-17*x+5)/(3*x-1)/(x-1)/(2*x^3+x^2+2*x-1) ogf] A290591 4.10301 [-2*(360*x^8-96*x^7+280*x^6-492*x^5+30*x^4+44*x^3+6*x^2+3*x+2)/(80*x^9-24*x^8+80*x^7-164*x^6+12*x^5+22*x^4+4*x^3+3*x^2+4*x-1) ogf] A290593 13.9816 [-(4*x^3+9*x+3)/(x+1)/(x^3-x^2+2*x-1) ogf] A290593 6.76887 [-(394335*f(x)+1966481)*(f(x)*x^4+f(x)*x^2+4*x^3+f(x)*x-f(x)+9*x+3) ogf] A290593 7.28956 [-(-4*x^6-23*x^4-4*x^3-21*x^2-6*x-12)/(-4*x^7-13*x^5-7*x^4-5*x^3-12*x^2+6*x+3) lgdogf] A290604 12.7823 [(3*x^2-2*x+2)/(x-1)/(2*x-1)/(x+1) ogf] A290604 6.83966 [(89*f(x)+179)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x-3*x^2+f(x)+2*x-2) ogf] A290604 6.96180 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=2,a(1)=2,a(2)=9} ogf] A290604 8.66358 [-(6*x^4-8*x^3+20*x^2-10*x-2)/(6*x^5-7*x^4+5*x^2-6*x+2) lgdogf] A290608 10.7840 [-2*(2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+x-1) ogf] A290608 6.18615 [-(1065*f(x)-422)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+4*x^3+10*x^2-f(x)+8*x+2) ogf] A290612 12.4432 [-(3*x^3+x^2+x-4)/(x-1)/(x^3+x^2-1) ogf] A290612 7.03756 [(23*f(x)+295)*(f(x)*x^4-f(x)*x^2+3*x^3-f(x)*x+x^2+f(x)+x-4) ogf] A290616 9.62086 [-(2*x^3-x-2)/(x^6+2*x^4-2*x^3-x^2-2*x+1) ogf] A290623 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290623 5.58404 [-(900000*x^8+100000000*x^6-1)/(10*x-1)/(1000000*x^8+100000000*x^6-1) ogf] A290631 10.1897 [-(-x^3-7*x^2-25*x-15)/(-x^4-x^3-5*x^2+5*x+2) lgdogf] A290631 10.8513 [(x^3+2*x^2+7*x+2)/(x-1)^4 ogf] A290631 4.17776 [{(-249*n^2-1127*n-1258)*a(n+1)+(-314*n^2-4408*n-9690)*a(n+2)+(563*n^2+3099*n+4230)*a(n+3),a(0)=2,a(1)=15,a(2)=50} ogf] A290631 5.60774 [(1024056*f(x)+3804101)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-2*x^2+f(x)-7*x-2) ogf] A290651 3.69155 [{(-12*n-54)*a(n+1)+(22*n+87)*a(n+2)+(-12*n-44)*a(n+3)+(2*n+7)*a(n+4),a(0)=4,a(1)=6,a(2)=11,a(3)=26} ogf] A290651 4.95446 [-(2156*f(x)+6499)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2+17*x^3-7*f(x)*x-37*x^2+f(x)+22*x-4) ogf] A290651 9.18387 [-(17*x^3-37*x^2+22*x-4)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A290660 4.98575 [{-a(n+4)+10*a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=11,a(2)=101,a(3)=1111} ogf] A290660 5.209 [(185435+867086*f(x))*(10*f(x)*x^3-f(x)*x^2-100*x^3-10*f(x)*x+10*x^2+f(x)-x-1) ogf] A290660 6.17704 [-(2020*x^3-371*x^2+18*x-11)/(1000*x^6-200*x^5-980*x^4+209*x^3-21*x^2-9*x+1) lgdogf] A290660 9.43250 [(100*x^3-10*x^2+x+1)/(x-1)/(10*x-1)/(x+1) ogf] A290661 4.91553 [{-a(n+4)+a(n+3)+100*a(n+2)-100*a(n+1),a(0)=1,a(1)=11,a(2)=101,a(3)=1111} ogf] A290661 5.09493 [(571361+4438643*f(x))*(100*f(x)*x^3-100*f(x)*x^2-10*x^3-f(x)*x+10*x^2+f(x)-10*x-1) ogf] A290661 9.18428 [(10*x^3-10*x^2+10*x+1)/(10*x-1)/(10*x+1)/(x-1) ogf] A290662 11.1483 [(2*x^3-2*x^2+2*x+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A290662 5.78370 [{-a(n+4)+a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=3,a(2)=5,a(3)=15} ogf] A290662 6.25392 [(449+531*f(x))*(4*f(x)*x^3-4*f(x)*x^2-2*x^3-f(x)*x+2*x^2+f(x)-2*x-1) ogf] A290662 8.45310 [-(20*x^3-4*x^2-4*x-3)/(8*x^6-16*x^5+14*x^4-8*x^2+x+1) lgdogf] A290664 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290668 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290680 8.40970 [-(10*x^5-11*x^4+11*x^3-11*x^2+x-1)/(x-1)/(10*x-1) ogf] A290681 7.44101 [-(10000*x^5-11000*x^4+1100*x^3-110*x^2+10*x-1)/(x-1)/(10*x-1) ogf] A290682 10.0808 [-(2*x^5-3*x^4+3*x^3-3*x^2+x-1)/(2*x-1)/(x-1) ogf] A290683 9.65911 [-(16*x^5-24*x^4+12*x^3-6*x^2+2*x-1)/(2*x-1)/(x-1) ogf] A290685 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290685 6.23219 [-(-200847200000*x^8+96800000*x^7+110)/(-199879200000*x^9+19987920000*x^8+110*x-11) lgdogf] A290685 7.67038 [-(9987910000*x^8-11)/(10*x-1)/(10000010000*x^8-11) ogf] A290689 2.36134 [-f(x)*(f(x)*x^2+f(x)*x-x^2-f(x)+1)^2 ogf] A290690 7.44571 [-(-8*x^3-14*x^2-2*x)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) lgdegf] A290698 4.29518 [-(9*x^8-8*x^7-28*x^6-18*x^5+25*x^4+44*x^3+36*x^2+10*x+2)/(x^2+x+1)/(x^7-2*x^6-3*x^5+2*x^4+6*x^3+3*x^2+3*x-1) ogf] A290699 10.7623 [-2*(x^3-x^2+2*x-1)/(2*x-1)/(x-1)^3 ogf] A290699 5.90889 [(f(x)+32)*(2*f(x)*x^4-7*f(x)*x^3+2*x^4+9*f(x)*x^2-2*x^3-5*f(x)*x+4*x^2+f(x)-2*x) ogf] A290699 9.31118 [-(-2*x^4-8*x^2+10*x-3)/(-2*x^5+5*x^4-8*x^3+9*x^2-5*x+1) lgdogf] A290700 4.57401 [-(9*x^8-8*x^7-14*x^6-12*x^5+10*x^4+8*x^3+18*x^2+4*x+1)/(x^2+1)/(x^3-x^2-x-1)/(x^4-2*x^2-2*x+1) ogf] A290707 11.3003 [-(2*x^3+x-1)/(2*x-1)/(x-1)^3 ogf] A290707 5.81881 [-(8*f(x)+97)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+2*x^3-5*f(x)*x+f(x)+x-1) ogf] A290707 8.76092 [-(4*x^4+8*x^3-10*x+4)/(4*x^5-6*x^4+4*x^3-5*x^2+4*x-1) lgdogf] A290708 4.30399 [-(512*x^7+1288*x^6+12*x^5-630*x^4-92*x^3+66*x^2+4*x-9)/(64*x^8+184*x^7+2*x^6-126*x^5-23*x^4+22*x^3+2*x^2-9*x+1) ogf] A290709 5.11932 [-(8*f(x)+121)*(2*f(x)*x^4-7*f(x)*x^3+6*x^4+9*f(x)*x^2-19*x^3-5*f(x)*x+25*x^2+f(x)-2*x-4) ogf] A290709 7.38922 [-(-4*x^4-70*x^2+78*x-22)/(-12*x^6+56*x^5-113*x^4+98*x^3-23*x^2-10*x+4) lgdogf] A290709 9.00295 [-(6*x^4-19*x^3+25*x^2-2*x-4)/(2*x-1)/(x-1)^3 ogf] A290710 5.77413 [-(12*x^6-44*x^5+37*x^4+53*x^3-119*x^2+91*x-24)/(2*x-1)/(x-1)^5 ogf] A290718 15.7141 [-(2*x^2-11*x+3)/(x-1)/(2*x-1)/(4*x-1) ogf] A290718 8.3192 [-(63*f(x)+11)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+2*x^2-f(x)-11*x+3) ogf] A290718 8.60857 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=3,a(1)=10,a(2)=30} ogf] A290718 8.91879 [-(-16*x^4+176*x^3-212*x^2+80*x-10)/(-16*x^5+116*x^4-192*x^3+121*x^2-32*x+3) lgdogf] A290720 3.80899 [{(-72*n-84)*a(n+1)+(114*n+61)*a(n+2)+(-48*n-14)*a(n+3)+(6*n+1)*a(n+4),a(0)=3,a(1)=13,a(2)=40,a(3)=127} ogf] A290720 5.32743 [-(4*f(x)-101)*(12*f(x)*x^4-31*f(x)*x^3+27*f(x)*x^2-25*x^3-9*f(x)*x-4*x^2+f(x)+14*x-3) ogf] A290720 9.61537 [(25*x^3+4*x^2-14*x+3)/(4*x-1)/(3*x-1)/(x-1)^2 ogf] A290721 11.6075 [-(8*x^2+23*x-13)/(4*x^3+3*x^2-9*x+2) lgdogf] A290721 14.4546 [-(x+2)/(4*x-1)/(x-1)^2 ogf] A290721 6.72011 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=2,a(1)=13,a(2)=60} ogf] A290721 6.77958 [(311049*f(x)-295208)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)+x+2) ogf] A290743 11.5574 [-(2*x^3-2*x^2-x+2)/(x+1)/(x-1)^3 ogf] A290743 6.70134 [(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3+2*x^3+2*f(x)*x-2*x^2-f(x)-x+2) ogf] A290743 9.06203 [-(-2*x^4+x^2-2*x-3)/(-2*x^5+2*x^4+3*x^3-4*x^2-x+2) lgdogf] A290744 7.75731 [-(5*x^6-5*x^5+x^4+x^3+x^2-4*x+5)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A290745 4.80904 [-(10*x^11-10*x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2-9*x+10)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A290756 3.07856 [{(336*n+848)*a(n+1)+(-546*n-1042)*a(n+2)+(231*n+373)*a(n+3)+(-21*n-32)*a(n+4),a(0)=7,a(1)=60,a(2)=499,a(3)=4062} ogf] A290756 4.30999 [(89397411285*f(x)+82457956592)*(16*f(x)*x^4-42*f(x)*x^3+37*f(x)*x^2-12*f(x)*x-38*x^2+f(x)+24*x-7) ogf] A290756 8.90731 [(38*x^2-24*x+7)/(2*x-1)/(8*x-1)/(x-1)^2 ogf] A290757 3.72099 [-(16807005058653*f(x)+77250511106467)*(49*f(x)*x^4-112*f(x)*x^3+78*f(x)*x^2+560*x^3-16*f(x)*x-1231*x^2+f(x)+1006*x-167) ogf] A290757 7.36110 [-(560*x^3-1231*x^2+1006*x-167)/(7*x-1)^2/(x-1)^2 ogf] A290762 5.82646 [-(x^6-3*x^5-6*x^3+7*x^2-6*x+2)/(x^3+2*x-1)/(x^3-x^2+2*x-1)^2 ogf] A290764 15.9986 [-(9*x-5)/(3*x^2-4*x+1) lgdogf] A290764 18.7300 [-3/(3*x-1)/(x-1)^2 ogf] A290764 6.73624 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=3,a(1)=15,a(2)=54} ogf] A290764 7.31362 [(2005*f(x)-3159)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)+3) ogf] A290768 13.9165 [-3*(x^2-x+1)/(x-1)^3 ogf] A290768 14.1485 [-(-x^2-2)/(-x^3+2*x^2-2*x+1) lgdogf] A290768 25.5917 [-x^5+x^2+x+2 ogf_with_Euler_transform] A290768 7.51246 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=6,a(2)=12} ogf] A290768 9.5383 [f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-3*x+3 ogf] A290775 12.6294 [-(30*x^2+42*x+12)/(6*x^3-x^2-4*x-1) lgdogf] A290775 4.29529 [{(-475*n^2-5301*n-13604)*a(n+1)+(232*n^2-691*n-17292)*a(n+2)+(243*n^2+1684*n+1441)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A290775 7.90816 [-2*x^2*(2*x+1)*(3*x+1)/(x-1)^7 ogf] A290778 4.83618 [-x^3*(x^10-x^9-2*x^7+x^6-x^5+3*x^4-x^2-x-2)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A290779 6.29107 [x^2*(12*x^3+58*x^2+49*x+1)/(x-1)^8 ogf] A290779 8.83578 [-(60*x^3+384*x^2+459*x+57)/(12*x^4+46*x^3-9*x^2-48*x-1) lgdogf] A290781 17.1220 [-(x+7)/(x^2+2*x-3) lgdogf] A290781 17.8665 [5*(x+3)/(x-1)^2 ogf] A290781 9.3393 [(8*f(x)+125)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-15) ogf] A290781 9.78402 [{-a(n+2)+2*a(n+1)-a(n),a(0)=15,a(1)=35} ogf] A290792 8.94719 [-(x^40-x^30+x^20-x^10+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A290813 4.23033 [{-a(n+3)+10*a(n+2)+a(n+1)-10*a(n),a(0)=1,a(1)=10,a(2)=101,a(3)=1111,a(4)=11100,a(5)=111111} ogf] A290813 8.83551 [(10*x^5-11*x^4+101*x^3+1)/(x-1)/(10*x-1)/(x+1) ogf] A290819 7.15095 [{(-64*n^3-416*n^2-892*n-630)*a(n+1)+(n+3)*a(n+2),a(0)=1,a(1)=45} ogf] A290827 4.38114 [{-a(n+3)+a(n+2)+100*a(n+1)-100*a(n),a(0)=1,a(1)=1,a(2)=101,a(3)=1111,a(4)=111,a(5)=111111} ogf] A290827 8.16485 [(10000*x^5-11000*x^4+1010*x^3+1)/(10*x-1)/(10*x+1)/(x-1) ogf] A290828 10.6332 [(2*x^5-3*x^4+5*x^3+1)/(x-1)/(2*x-1)/(x+1) ogf] A290828 5.14056 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=2,a(2)=5,a(3)=15,a(4)=28,a(5)=63} ogf] A290829 10.4399 [(16*x^5-24*x^4+10*x^3+1)/(2*x-1)/(2*x+1)/(x-1) ogf] A290829 5.28954 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=1,a(2)=5,a(3)=15,a(4)=7,a(5)=63} ogf] A290831 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290834 7.34742 [-(110*x^6-121*x^5+111*x^4-100*x^3-x^2+x-1)/(x-1)/(10*x-1) ogf] A290835 6.56208 [-(110000*x^6-121000*x^5+11100*x^4-10*x^3-100*x^2+10*x-1)/(x-1)/(10*x-1) ogf] A290836 9.13206 [-(6*x^6-9*x^5+7*x^4-4*x^3-x^2+x-1)/(2*x-1)/(x-1) ogf] A290837 8.78101 [-(48*x^6-72*x^5+28*x^4-2*x^3-4*x^2+2*x-1)/(2*x-1)/(x-1) ogf] A290849 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290853 13.9601 [-(10*f(x)*x-f(x)+1)^3 ogf] A290856 11.4633 [-(-30*x^4+40*x^3+1)/(10*x^5-10*x^4+x-1) lgdogf] A290856 12.8963 [f(x)*(10*x^4+f(x)*x-f(x)+1) ogf] A290856 19.6515 [-(10*x^4+1)/(x-1) ogf] A290856 7.57212 [{-a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=11} ogf] A290857 15.5112 [-(1000*x^4+1)/(10*x-1) ogf] A290857 5.86559 [{-a(n+2)+10*a(n+1),a(0)=1,a(1)=10,a(2)=100,a(3)=1000,a(4)=11000} ogf] A290857 8.30958 [-(-30000*x^4+4000*x^3+10)/(10000*x^5-1000*x^4+10*x-1) lgdogf] A290857 9.83107 [-f(x)*(1000*x^4+10*f(x)*x-f(x)+1) ogf] A290858 11.4634 [-(-6*x^4+8*x^3+1)/(2*x^5-2*x^4+x-1) lgdogf] A290858 11.6345 [-f(x)*(2*x^4+f(x)*x-f(x)+1) ogf] A290858 19.0125 [-(2*x^4+1)/(x-1) ogf] A290858 7.21769 [{-a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=3} ogf] A290859 11.3241 [-(-48*x^4+32*x^3+2)/(16*x^5-8*x^4+2*x-1) lgdogf] A290859 12.0002 [-f(x)*(8*x^4+2*f(x)*x-f(x)+1) ogf] A290859 19.6100 [-(8*x^4+1)/(2*x-1) ogf] A290859 7.37624 [{-a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=24} ogf] A290890 15.4789 [x/(x^2-3*x+1)/(x^2-x+1) ogf] A290890 6.1664 [-(94*f(x)+19)*(f(x)*x^4-4*f(x)*x^3+5*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A290890 9.24961 [-(4*x^3-12*x^2+10*x-4)/(x^4-4*x^3+5*x^2-4*x+1) lgdogf] A290891 10.8538 [x^2/(x^2-3*x+1)/(x^4-3*x^3+5*x^2-3*x+1) ogf] A290892 9.02421 [x^3/(x^2-x+1)/(x^4-4*x^3+7*x^2-4*x+1)/(x^2-3*x+1) ogf] A290893 6.54234 [x^4/(x^2-3*x+1)/(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1) ogf] A290894 5.42471 [x^5/(x^2-3*x+1)/(x^2-x+1)/(x^4-5*x^3+9*x^2-5*x+1)/(x^4-3*x^3+5*x^2-3*x+1) ogf] A290895 4.40044 [x^6/(x^2-3*x+1)/(x^12-11*x^11+57*x^10-182*x^9+398*x^8-626*x^7+727*x^6-626*x^5+398*x^4-182*x^3+57*x^2-11*x+1) ogf] A290897 7.30521 [(x^4-4*x^3+7*x^2-4*x+1)/(x^3-4*x^2+3*x-1)/(x^3-3*x^2+4*x-1) ogf] A290898 5.38824 [(x^2-x+1)*(x^4-5*x^3+9*x^2-5*x+1)/(x^8-9*x^7+34*x^6-71*x^5+89*x^4-71*x^3+34*x^2-9*x+1) ogf] A290899 6.06648 [x*(x^4-4*x^3+7*x^2-4*x+1)/(x^8-8*x^7+27*x^6-52*x^5+63*x^4-52*x^3+27*x^2-8*x+1) ogf] A290900 7.93209 [x*(x^2-x+1)/(x^6-6*x^5+14*x^4-19*x^3+14*x^2-6*x+1) ogf] A290901 6.49830 [x^2*(x^2-x+1)/(x^8-8*x^7+28*x^6-57*x^5+71*x^4-57*x^3+28*x^2-8*x+1) ogf] A290902 15.8240 [-(2*x-5)/(x^2-5*x+1) lgdogf] A290902 23.0168 [3/(x^2-5*x+1) ogf] A290902 9.15125 [{-a(n+2)+5*a(n+1)-a(n),a(0)=3,a(1)=15} ogf] A290902 9.26286 [(23*f(x)+6)*(f(x)*x^2-5*f(x)*x+f(x)-3) ogf] A290903 14.2712 [-(2*x-7)/(x^2-7*x+1) lgdogf] A290903 20.7581 [5/(x^2-7*x+1) ogf] A290903 8.25322 [(47*f(x)+10)*(f(x)*x^2-7*f(x)*x+f(x)-5) ogf] A290903 8.25322 [{-a(n+2)+7*a(n+1)-a(n),a(0)=5,a(1)=35} ogf] A290904 14.2719 [2*x/(x^4-4*x^3+4*x^2-4*x+1) ogf] A290904 6.35639 [(43*f(x)+10)*(f(x)*x^4-4*f(x)*x^3+4*f(x)*x^2-4*f(x)*x+f(x)-2*x) ogf] A290904 9.33838 [-(4*x^3-12*x^2+8*x-4)/(x^4-4*x^3+4*x^2-4*x+1) lgdogf] A290905 16.0119 [x/(x^4-4*x^3+4*x^2-4*x+1) ogf] A290905 6.64898 [(43*f(x)+5)*(f(x)*x^4-4*f(x)*x^3+4*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A290905 9.68619 [-(4*x^3-12*x^2+8*x-4)/(x^4-4*x^3+4*x^2-4*x+1) lgdogf] A290906 14.3649 [3*x/(x^4-4*x^3+3*x^2-4*x+1) ogf] A290906 6.13983 [-(262*f(x)+63)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)-3*x) ogf] A290906 9.39925 [-(-4*x^3+12*x^2-6*x+4)/(-x^4+4*x^3-3*x^2+4*x-1) lgdogf] A290907 14.7120 [x/(x^4-4*x^3+3*x^2-4*x+1) ogf] A290907 6.28819 [-(262*f(x)+21)*(f(x)*x^4-4*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A290907 9.62636 [-(-4*x^3+12*x^2-6*x+4)/(-x^4+4*x^3-3*x^2+4*x-1) lgdogf] A290908 14.0775 [4*x/(x^2+1)/(x^2-4*x+1) ogf] A290908 6.26978 [(91*f(x)+22)*(f(x)*x^4-4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+f(x)-4*x) ogf] A290908 9.21117 [-(4*x^3-12*x^2+4*x-4)/(x^4-4*x^3+2*x^2-4*x+1) lgdogf] A290909 13.4828 [5*x/(x^4-4*x^3+x^2-4*x+1) ogf] A290909 5.71672 [-(478*f(x)+115)*(f(x)*x^4-4*f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)-5*x) ogf] A290909 8.82211 [-(4*x^3-12*x^2+2*x-4)/(x^4-4*x^3+x^2-4*x+1) lgdogf] A290910 13.5242 [x/(x^4-4*x^3+x^2-4*x+1) ogf] A290910 5.78049 [-(478*f(x)+23)*(f(x)*x^4-4*f(x)*x^3+f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A290910 8.84916 [-(4*x^3-12*x^2+2*x-4)/(x^4-4*x^3+x^2-4*x+1) lgdogf] A290911 10.6830 [-(4*x^3-12*x^2-4)/(x^4-4*x^3-4*x+1) lgdogf] A290911 16.3805 [6*x/(x^4-4*x^3-4*x+1) ogf] A290911 7.08772 [-(34*f(x)+3)*(f(x)*x^4-4*f(x)*x^3-4*f(x)*x+f(x)-6*x) ogf] A290912 10.7659 [-(4*x^3-12*x^2-4)/(x^4-4*x^3-4*x+1) lgdogf] A290912 18.1182 [x/(x^4-4*x^3-4*x+1) ogf] A290912 7.14275 [-(68*f(x)+1)*(f(x)*x^4-4*f(x)*x^3-4*f(x)*x+f(x)-x) ogf] A290913 14.3939 [7*x/(x^4-4*x^3-x^2-4*x+1) ogf] A290913 6.35728 [(106*f(x)+25)*(f(x)*x^4-4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-7*x) ogf] A290913 9.41821 [-(-4*x^3+12*x^2+2*x+4)/(-x^4+4*x^3+x^2+4*x-1) lgdogf] A290914 14.3848 [x/(x^4-4*x^3-x^2-4*x+1) ogf] A290914 6.35329 [(742*f(x)+25)*(f(x)*x^4-4*f(x)*x^3-f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A290914 9.41228 [-(-4*x^3+12*x^2+2*x+4)/(-x^4+4*x^3+x^2+4*x-1) lgdogf] A290915 13.5517 [8*x/(x^4-4*x^3-2*x^2-4*x+1) ogf] A290915 5.98533 [(223*f(x)+52)*(f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2-4*f(x)*x+f(x)-8*x) ogf] A290915 8.86715 [-(4*x^3-12*x^2-4*x-4)/(x^4-4*x^3-2*x^2-4*x+1) lgdogf] A290916 13.4221 [x/(x^4-4*x^3-2*x^2-4*x+1) ogf] A290916 5.9281 [(446*f(x)+13)*(f(x)*x^4-4*f(x)*x^3-2*f(x)*x^2-4*f(x)*x+f(x)-x) ogf] A290916 8.78237 [-(4*x^3-12*x^2-4*x-4)/(x^4-4*x^3-2*x^2-4*x+1) lgdogf] A290917 10.9011 [(2*x-1)*(x-2)/(x^2-3*x+1)^2 ogf] A290917 5.69459 [(277*f(x)+167)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+5*x-2) ogf] A290917 8.97734 [-(-4*x^3+15*x^2-19*x+7)/(-2*x^4+11*x^3-19*x^2+11*x-2) lgdogf] A290918 7.14612 [(3*x^4-15*x^3+25*x^2-15*x+3)/(x^2-3*x+1)^3 ogf] A290919 3.72817 [{(-n-2)*a(n+1)+(4*n+8)*a(n+2)+(-4*n-20)*a(n+3)+(n+5)*a(n+4),a(0)=4,a(1)=18,a(2)=72,a(3)=271} ogf] A290919 5.02928 [(2*x-1)*(x-2)*(2*x^4-10*x^3+17*x^2-10*x+2)/(x^2-3*x+1)^4 ogf] A290920 3.58539 [{(-n-2)*a(n+1)+(4*n+7)*a(n+2)+(-4*n-21)*a(n+3)+(n+5)*a(n+4),a(0)=5,a(1)=25,a(2)=110,a(3)=450} ogf] A290920 3.77212 [(5*x^8-50*x^7+210*x^6-475*x^5+621*x^4-475*x^3+210*x^2-50*x+5)/(x^2-3*x+1)^5 ogf] A290921 3.68100 [{(-n-2)*a(n+1)+(4*n+6)*a(n+2)+(-4*n-22)*a(n+3)+(n+5)*a(n+4),a(0)=6,a(1)=33,a(2)=158,a(3)=696} ogf] A290922 11.6790 [(x^2+1)/(x^2-4*x+1)/(x^2-x+1) ogf] A290922 5.93075 [(193*f(x)+32)*(f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-5*f(x)*x-x^2+f(x)-1) ogf] A290922 6.60119 [-(2*x^5-5*x^4+4*x^3-10*x^2+10*x-5)/(x^6-5*x^5+7*x^4-10*x^3+7*x^2-5*x+1) lgdogf] A290923 10.5014 [2*(x^2-x+1)/(x^4-6*x^3+8*x^2-6*x+1) ogf] A290923 5.53127 [(92*f(x)+13)*(f(x)*x^4-6*f(x)*x^3+8*f(x)*x^2-6*f(x)*x-2*x^2+f(x)+2*x-2) ogf] A290924 11.1028 [(x^2-x+1)/(x^4-6*x^3+8*x^2-6*x+1) ogf] A290924 5.80373 [(184*f(x)+13)*(f(x)*x^4-6*f(x)*x^3+8*f(x)*x^2-6*f(x)*x-x^2+f(x)+x-1) ogf] A290924 6.49231 [-(2*x^5-9*x^4+16*x^3-20*x^2+14*x-5)/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-7*x+1) lgdogf] A290925 10.4367 [(3*x^2-4*x+3)/(x^4-7*x^3+10*x^2-7*x+1) ogf] A290925 5.45202 [(647*f(x)+116)*(f(x)*x^4-7*f(x)*x^3+10*f(x)*x^2-7*f(x)*x-3*x^2+f(x)+4*x-3) ogf] A290926 6.01872 [x*(2*x^4-8*x^3+11*x^2-8*x+2)/(x^2-3*x+1)^2/(x^2-x+1)^2 ogf] A290927 3.47104 [x*(3*x^8-24*x^7+81*x^6-156*x^5+193*x^4-156*x^3+81*x^2-24*x+3)/(x^2-3*x+1)^3/(x^2-x+1)^3 ogf] A290928 3.70572 [x^2*(2*x^6-12*x^5+30*x^4-41*x^3+30*x^2-12*x+2)/(x^2-3*x+1)^2/(x^4-3*x^3+5*x^2-3*x+1)^2 ogf] A290929 7.08092 [(x^4-3*x^3+3*x^2-3*x+1)/(x^2-x+1)/(x^2-3*x+1)^2 ogf] A290930 5.64636 [x*(3*x^4-12*x^3+16*x^2-12*x+3)/(x^2-3*x+1)/(x^4-4*x^3+4*x^2-4*x+1)/(x^2-x+1) ogf] A290938 6.98164 [-(x+1)*(8*x^4-3*x^3-x^2-17*x+5)/(x-1)/(2*x^2+3*x-1)/(x^3+x^2+3*x-1) ogf] A290939 11.8752 [-(-20*x^2+28*x+13)/(-4*x^3+10*x^2-5*x-1) lgdogf] A290939 3.91999 [{(4565*n^2+21729*n+13876)*a(n+1)+(-12659*n^2-56618*n-73073)*a(n+2)+(8094*n^2+13715*n+5621)*a(n+3),a(0)=0,a(1)=0,a(2)=24} ogf] A290939 7.40841 [24*x^2*(4*x^2-6*x-1)/(x-1)^7 ogf] A290940 3.93407 [{(-2393*n^2-10053*n-1924)*a(n+1)+(5465*n^2+18576*n+40135)*a(n+2)+(-3072*n^2-3770*n-698)*a(n+3),a(0)=0,a(1)=0,a(2)=16} ogf] A290940 6.11295 [-4*x^2*(319*x^3-222*x^2-198*x-4)/(x-1)^8 ogf] A290940 8.19261 [-(-1595*x^3+375*x^2+1830*x+230)/(-319*x^4+541*x^3-24*x^2-194*x-4) lgdogf] A290943 12.4478 [-(3*x^4+3*x+3)/(-x^5-x^4-x^3-x^2-x-1) ogf_with_Euler_transform] A290968 8.24817 [-(x^4-2*x^3-x^2+1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A290986 10.4076 [-1/(x^4-x^3+2*x-1)/(x-1)^2 ogf] A290986 7.04683 [-(6*x^4-9*x^3+3*x^2+6*x-4)/(x^5-2*x^4+x^3+2*x^2-3*x+1) lgdogf] A290987 7.30640 [-(x^5-x^4+x^3+x^2-2*x+1)/(x^4-x^3+2*x-1)/(x-1)^2 ogf] A290988 9.72277 [(x^7+x^4+x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A290989 6.97419 [(x+1)*(x^2-x+1)/(x-1)/(x^4-x+1)/(x^4-x^3+2*x-1) ogf] A290990 10.3023 [-x*(2*x^2-2*x+1)/(x^4+2*x^3-5*x^2+4*x-1) ogf] A290990 5.33380 [{-a(n+4)+4*a(n+3)-5*a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A290990 5.48952 [-(2*f(x)+1)*(f(x)*x^4+2*f(x)*x^3-5*f(x)*x^2+2*x^3+4*f(x)*x-2*x^2-f(x)+x) ogf] A290991 7.62829 [-x^2*(x^3+x^2-2*x+1)/(x^6+x^5-3*x^4+5*x^3-6*x^2+4*x-1) ogf] A290992 7.65357 [-x^3*(x^4+x^2-2*x+1)/(x^8+x^6-2*x^5+4*x^3-6*x^2+4*x-1) ogf] A290993 12.0944 [-x^5/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A290993 7.51495 [-(-30*x^4+60*x^3-60*x^2+30*x-6)/(-6*x^5+15*x^4-20*x^3+15*x^2-6*x+1) lgdogf] A290994 9.91286 [-x^6/(2*x-1)/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) ogf] A290995 9.13361 [-x^7/(2*x-1)/(2*x^2-2*x+1)/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A290996 11.0485 [(3*x^2-3*x+1)/(x^4-7*x^3+9*x^2-5*x+1) ogf] A290996 5.68914 [-(36*f(x)+5)*(f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-5*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A290997 8.22818 [x^2*(3*x^2-3*x+1)/(x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1) ogf] A290998 14.5798 [x^2/(x^4-5*x^3+6*x^2-4*x+1) ogf] A290998 6.08447 [-(69*f(x)+10)*(f(x)*x^4-5*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-x^2+f(x)) ogf] A290998 9.42352 [-(4*x^3-15*x^2+12*x-4)/(x^4-5*x^3+6*x^2-4*x+1) lgdogf] A290999 13.0716 [-5*f(x)*x^2-2*f(x)*x+f(x)-6*x ogf] A290999 15.7393 [-(-10*x-2)/(-5*x^2-2*x+1) lgdogf] A290999 20.8440 [-6*x/(5*x^2+2*x-1) ogf] A290999 9.52132 [{-a(n+2)+2*a(n+1)+5*a(n),a(0)=0,a(1)=6} ogf] A291000 12.8068 [-(x^2-x+1)/(2*x^3-4*x^2+4*x-1) ogf] A291000 6.97512 [{a(n+3)-4*a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A291000 7.03795 [(8*f(x)+1)*(2*f(x)*x^3-4*f(x)*x^2+4*f(x)*x+x^2-f(x)-x+1) ogf] A291000 8.05375 [-(-2*x^4+4*x^3-6*x^2+6*x-3)/(-2*x^5+6*x^4-10*x^3+9*x^2-5*x+1) lgdogf] A291001 12.9219 [-7*f(x)*x^2-2*f(x)*x+f(x)-8*x ogf] A291001 15.5591 [-(-14*x-2)/(-7*x^2-2*x+1) lgdogf] A291001 20.6053 [-8*x/(7*x^2+2*x-1) ogf] A291001 9.41228 [{-a(n+2)+2*a(n+1)+7*a(n),a(0)=0,a(1)=8} ogf] A291002 11.2454 [-(23*x^2-23*x+6)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A291002 6.04093 [(5753*f(x)+4490)*(24*f(x)*x^3-26*f(x)*x^2+9*f(x)*x+23*x^2-f(x)-23*x+6) ogf] A291002 6.24745 [{a(n+3)-9*a(n+2)+26*a(n+1)-24*a(n),a(0)=6,a(1)=31,a(2)=146} ogf] A291003 4.28277 [(891229813*f(x)+2221248457)*(120*f(x)*x^4-154*f(x)*x^3+71*f(x)*x^2+119*x^3-14*f(x)*x-150*x^2+f(x)+65*x-10) ogf] A291003 7.98808 [-(119*x^3-150*x^2+65*x-10)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A291004 14.6068 [-(-20*x+11)/(-20*x^2+13*x-2) lgdogf] A291004 16.1607 [-3*(5*x-2)/(4*x-1)^2 ogf] A291004 8.63131 [(8*f(x)+73)*(16*f(x)*x^2-8*f(x)*x+f(x)+15*x-6) ogf] A291004 9.04231 [{-a(n+2)+8*a(n+1)-16*a(n),a(0)=6,a(1)=33} ogf] A291005 12.6431 [-2*(2*x^2-2*x+1)/(5*x^3-7*x^2+5*x-1) ogf] A291005 6.59167 [-(27*f(x)+26)*(5*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+4*x^2-f(x)-4*x+2) ogf] A291005 6.82502 [{a(n+3)-5*a(n+2)+7*a(n+1)-5*a(n),a(0)=2,a(1)=6,a(2)=20} ogf] A291005 7.41564 [-(-10*x^4+20*x^3-19*x^2+10*x-3)/(-10*x^5+24*x^4-29*x^3+19*x^2-7*x+1) lgdogf] A291006 10.7210 [(2*x^2-2*x+1)/(x^4-6*x^3+8*x^2-5*x+1) ogf] A291006 6.11363 [f(x)*(f(x)*x^4-6*f(x)*x^3+8*f(x)*x^2-5*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A291007 4.50352 [(5*f(x)+1)^2*(2*f(x)*x^5-7*f(x)*x^4+14*f(x)*x^3+x^4-13*f(x)*x^2-2*x^3+6*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A291007 7.82191 [-(x^4-2*x^3+4*x^2-3*x+1)/(2*x^5-7*x^4+14*x^3-13*x^2+6*x-1) ogf] A291008 12.5354 [-6*f(x)*x^2-2*f(x)*x+f(x)-7*x ogf] A291008 15.0937 [-(-12*x-2)/(-6*x^2-2*x+1) lgdogf] A291008 19.9889 [-7*x/(6*x^2+2*x-1) ogf] A291008 9.13073 [{-a(n+2)+2*a(n+1)+6*a(n),a(0)=0,a(1)=7} ogf] A291009 10.9442 [-(-56*x^2+64*x-17)/(-56*x^3+74*x^2-31*x+4) lgdogf] A291009 17.0243 [-(7*x-4)/(4*x-1)/(2*x-1) ogf] A291009 8.7056 [(38*f(x)+137)*(8*f(x)*x^2-6*f(x)*x+f(x)+7*x-4) ogf] A291009 9.23004 [{-a(n+2)+6*a(n+1)-8*a(n),a(0)=4,a(1)=17} ogf] A291010 15.2817 [-(11*x-5)/(4*x-1)/(3*x-1) ogf] A291010 7.98045 [(55*f(x)+493)*(12*f(x)*x^2-7*f(x)*x+f(x)+11*x-5) ogf] A291010 8.55046 [{-a(n+2)+7*a(n+1)-12*a(n),a(0)=5,a(1)=24} ogf] A291010 9.70593 [-(-132*x^2+120*x-24)/(-132*x^3+137*x^2-46*x+5) lgdogf] A291011 11.9157 [-(11*x^2-13*x+4)/(3*x-1)/(2*x-1)^2 ogf] A291011 6.56374 [(865*f(x)+43)*(12*f(x)*x^3-16*f(x)*x^2+7*f(x)*x+11*x^2-f(x)-13*x+4) ogf] A291011 6.67691 [{a(n+3)-7*a(n+2)+16*a(n+1)-12*a(n),a(0)=4,a(1)=15,a(2)=52} ogf] A291011 8.51123 [-(66*x^3-123*x^2+76*x-15)/(66*x^4-133*x^3+100*x^2-33*x+4) lgdogf] A291012 13.8052 [-(x^2+3*x-2)/(3*x-1)/(2*x-1) ogf] A291012 7.10365 [{-a(n+3)+5*a(n+2)-6*a(n+1),a(0)=2,a(1)=7,a(2)=22} ogf] A291012 7.78379 [(9*f(x)+31)*(6*f(x)*x^2-5*f(x)*x+x^2+f(x)+3*x-2) ogf] A291012 9.50229 [-(23*x^2-26*x+7)/(6*x^4+13*x^3-26*x^2+13*x-2) lgdogf] A291013 5.32654 [{(-2*n+2)*a(n+1)+(3*n+9)*a(n+2)+(-n-4)*a(n+3),a(0)=0,a(1)=3,a(2)=6} ogf] A291013 7.78092 [-(-2*x^4+4*x^3+12*x^2-18*x+6)/(2*x^5-13*x^4+36*x^3-39*x^2+18*x-3) lgdogf] A291013 9.44826 [-x*(x^4-6*x^3+15*x^2-12*x+3)/(2*x-1)^3 ogf] A291014 7.59007 [-x^2*(3*x^3-6*x^2+6*x-2)/(2*x-1)^2/(x^2-x+1)^2 ogf] A291015 14.4271 [(3*x-2)/(x^3-6*x^2+5*x-1) ogf] A291015 6.76668 [{-a(n+3)+5*a(n+2)-6*a(n+1)+a(n),a(0)=2,a(1)=7,a(2)=23} ogf] A291015 7.01499 [-(17*f(x)-10)*(f(x)*x^3-6*f(x)*x^2+5*f(x)*x-f(x)-3*x+2) ogf] A291015 8.99571 [-(6*x^3-24*x^2+24*x-7)/(3*x^4-20*x^3+27*x^2-13*x+2) lgdogf] A291016 15.5381 [-(5*x-4)/(6*x^2-6*x+1) ogf] A291016 8.03696 [(66*f(x)+97)*(6*f(x)*x^2-6*f(x)*x+f(x)+5*x-4) ogf] A291016 8.42426 [{-a(n+2)+6*a(n+1)-6*a(n),a(0)=4,a(1)=19} ogf] A291016 9.98877 [-(-30*x^2+48*x-19)/(-30*x^3+54*x^2-29*x+4) lgdogf] A291017 10.0238 [-(-42*x^2+70*x-29)/(-42*x^3+77*x^2-41*x+5) lgdogf] A291017 15.5926 [-(6*x-5)/(7*x^2-7*x+1) ogf] A291017 7.88389 [(133*f(x)+176)*(7*f(x)*x^2-7*f(x)*x+f(x)+6*x-5) ogf] A291017 8.45381 [{-a(n+2)+7*a(n+1)-7*a(n),a(0)=5,a(1)=29} ogf] A291018 15.2226 [-(7*x-6)/(8*x^2-8*x+1) ogf] A291018 7.69683 [(232*f(x)+289)*(8*f(x)*x^2-8*f(x)*x+f(x)+7*x-6) ogf] A291018 8.25322 [{-a(n+2)+8*a(n+1)-8*a(n),a(0)=6,a(1)=41} ogf] A291018 9.64813 [-(-56*x^2+96*x-41)/(-56*x^3+104*x^2-55*x+6) lgdogf] A291019 5.47488 [(15*f(x)+32)*(3*f(x)*x^4-6*f(x)*x^3+8*f(x)*x^2+2*x^3-5*f(x)*x-2*x^2+f(x)+2*x-1) ogf] A291019 9.88325 [-(2*x^3-2*x^2+2*x-1)/(3*x^4-6*x^3+8*x^2-5*x+1) ogf] A291020 5.29797 [f(x)*(7*f(x)*x^4-14*f(x)*x^3+x^4+13*f(x)*x^2+2*x^3-6*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A291020 8.46455 [-(x^4+2*x^3-4*x^2+3*x-1)/(7*x^4-14*x^3+13*x^2-6*x+1) ogf] A291021 7.83340 [-(x^4-4*x^3+4*x^2-3*x+1)/(2*x-1)/(x^2-3*x+1)/(x^2-x+1) ogf] A291023 12.1318 [-(20*x^2-8*x-4)/(10*x^3-x^2-8*x+3) lgdogf] A291023 16.3408 [-x*(5*x-3)/(x+1)/(2*x-1)^2 ogf] A291023 8.60969 [{-a(n+3)+3*a(n+2)-4*a(n),a(0)=0,a(1)=3,a(2)=4} ogf] A291023 8.70326 [(39*f(x)+145)*(4*f(x)*x^3-3*f(x)*x+5*x^2+f(x)-3*x) ogf] A291024 11.9827 [-4*x*(2*x-1)/(x^2+2*x-1)^2 ogf] A291024 12.9812 [-(6*x^2-2)/(2*x^3+3*x^2-4*x+1) lgdogf] A291024 3.95368 [{(n+3)*a(n+4)+(-10-4*n)*a(n+3)+(3+3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=4,a(2)=8,a(3)=24} ogf] A291024 6.23099 [(f(x)-2)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+8*x^2+f(x)-4*x) ogf] A291025 10.4422 [(3*x^2-7*x+3)/(x^4-7*x^3+13*x^2-7*x+1) ogf] A291025 5.49588 [(154*f(x)+97)*(f(x)*x^4-7*f(x)*x^3+13*f(x)*x^2-7*f(x)*x-3*x^2+f(x)+7*x-3) ogf] A291026 5.14405 [(920*f(x)+601)*(f(x)*x^4-8*f(x)*x^3+15*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+9*x-4) ogf] A291026 9.84717 [(4*x^2-9*x+4)/(x^4-8*x^3+15*x^2-8*x+1) ogf] A291027 10.4921 [(5*x^2-11*x+5)/(x^4-9*x^3+17*x^2-9*x+1) ogf] A291027 5.43753 [(2882*f(x)+1939)*(f(x)*x^4-9*f(x)*x^3+17*f(x)*x^2-9*f(x)*x-5*x^2+f(x)+11*x-5) ogf] A291028 5.24458 [(193*f(x)+133)*(f(x)*x^4-10*f(x)*x^3+19*f(x)*x^2-10*f(x)*x-6*x^2+f(x)+13*x-6) ogf] A291028 9.84256 [(3*x-2)*(2*x-3)/(x^4-10*x^3+19*x^2-10*x+1) ogf] A291029 7.01744 [(x^4-3*x^3+5*x^2-3*x+1)/(x^6-7*x^5+18*x^4-25*x^3+18*x^2-7*x+1) ogf] A291030 5.26842 [(x^2-x+1)*(x^4-4*x^3+7*x^2-4*x+1)/(x^8-9*x^7+33*x^6-68*x^5+85*x^4-68*x^3+33*x^2-9*x+1) ogf] A291031 6.92043 [(3*x^4-12*x^3+16*x^2-12*x+3)/(x^2-3*x+1)/(x^4-6*x^3+8*x^2-6*x+1) ogf] A291032 5.49306 [(x^6-5*x^5+12*x^4-17*x^3+12*x^2-5*x+1)/(x^8-9*x^7+33*x^6-68*x^5+87*x^4-68*x^3+33*x^2-9*x+1) ogf] A291033 15.1592 [-(2*x-8)/(x^2-8*x+1) lgdogf] A291033 22.0497 [6/(x^2-8*x+1) ogf] A291033 8.36369 [(3905*f(x)+1146)*(f(x)*x^2-8*f(x)*x+f(x)-6) ogf] A291033 8.76675 [{-a(n+2)+8*a(n+1)-a(n),a(0)=6,a(1)=48} ogf] A291034 14.3545 [-(2*x-9)/(x^2-9*x+1) lgdogf] A291034 20.8793 [7/(x^2-9*x+1) ogf] A291034 8.30142 [{-a(n+2)+9*a(n+1)-a(n),a(0)=7,a(1)=63} ogf] A291034 8.30143 [(79*f(x)+14)*(f(x)*x^2-9*f(x)*x+f(x)-7) ogf] A291035 10.0371 [-(x+1)*(x^2-x-1)/(x^3+2*x-1)/(x^3-x-1) ogf] A291036 9.78022 [-2*(x^3-x-1)/(x^6+2*x^4-2*x^3-2*x^2-2*x+1) ogf] A291037 10.1456 [-(x^3-x-1)/(x^6+2*x^4-2*x^3-2*x^2-2*x+1) ogf] A291038 7.82196 [-(-3*x^5-3*x^3+3*x^2-2*x+3)/(-x^6-3*x^4+2*x^3-2*x^2+3*x-1) lgdogf] A291038 9.75205 [-4*(x^3+x-1)/(x^3+2*x-1)^2 ogf] A291039 10.3020 [-(x^3+x-1)/(x^3+2*x-1)^2 ogf] A291039 8.26304 [-(-3*x^5-3*x^3+3*x^2-2*x+3)/(-x^6-3*x^4+2*x^3-2*x^2+3*x-1) lgdogf] A291040 4.89948 [-(3*x^11+5*x^10+5*x^9+3*x^8+4*x^7+5*x^6+3*x^5+5*x^4+4*x^3+3*x^2+5*x+5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A291053 5.92698 [-(18*x^8-77*x^7+112*x^6-89*x^5+61*x^4-30*x^3+2*x^2+2*x-2)/(x-1)^6 ogf] A291055 4.19013 [-(x^13+x^12-3*x^9+2*x^7+x^6+x^5-x^4-x^3-x^2-2*x-1)/(x^14-x^11-2*x^10+x^9+2*x^8+x^7-x^5-x^4-x^3-x^2+1) ogf] A291063 3.85992 [-(15*x^14-14*x^13-12*x^11-11*x^10+30*x^9+9*x^8-8*x^7-7*x^6-6*x^5+2*x+1)/(x-1)/(x^14-x^11-2*x^10+x^9+2*x^8+x^7-x^5-x^4-x^3-x^2+1) ogf] A291064 5.03377 [-(25*f(x)-2242)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+16*x^3-6*f(x)*x-24*x^2+f(x)+15*x-4) ogf] A291064 7.12326 [-(-32*x^4+48*x^3-42*x^2+29*x-9)/(-32*x^5+96*x^4-118*x^3+77*x^2-27*x+4) lgdogf] A291064 9.20812 [-(16*x^3-24*x^2+15*x-4)/(2*x-1)^2/(x-1)^2 ogf] A291066 13.8095 [-(320*x-28)/(160*x^2-28*x+1) lgdogf] A291066 20.1545 [24/(20*x-1)/(8*x-1) ogf] A291066 8.10561 [(1031*f(x)+32880)*(160*f(x)*x^2-28*f(x)*x+f(x)-24) ogf] A291066 8.47403 [{-a(n+2)+28*a(n+1)-160*a(n),a(0)=24,a(1)=672} ogf] A291090 8.69864 [-(-4*x^4+8*x^3-5*x^2+x)/(-x^4+2*x^3-5*x^2+4*x-1) revogf] A291091 11.9199 [(-2*x+(4*x^2+1)^(1/2))*x/(x^2+1) revogf] A291092 10.9787 [{a(n+2)-a(n+1),a(0)=1,a(1)=9} ogf] A291092 17.5659 [-f(x)*x+f(x)-8*x-1 ogf] A291092 21.3639 [-(1+8*x)/(x-1) ogf] A291092 21.9574 [9/(-8*x^2+7*x+1) lgdogf] A291096 4.76999 [{(-256*n^3-1152*n^2-1712*n-840)*a(n+1)+(9*n^3+54*n^2+107*n+70)*a(n+2),a(0)=1,a(1)=3} ogf] A291097 10.0549 [-(5*x^3-11*x^2+10*x-3)/(2*x-1)^2/(x-1)^2 ogf] A291097 5.61688 [(68*f(x)+4451)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+5*x^3-6*f(x)*x-11*x^2+f(x)+10*x-3) ogf] A291097 7.75666 [-(-10*x^4+29*x^3-45*x^2+32*x-8)/(-10*x^5+37*x^4-58*x^3+47*x^2-19*x+3) lgdogf] A291102 3.97240 [-(4*x^13+x^11-3*x^10-7*x^9+3*x^8+6*x^7+2*x^6+x^5-2*x^4-3*x^3-x^2-2*x-2)/(x^14-x^11-2*x^10+x^9+2*x^8+x^7-x^5-x^4-x^3-x^2+1) ogf] A291107 9.81321 [-(5*x^5-4*x^3+x^2-2*x-3)/(x^6-x^4-x^2-x+1) ogf] A291124 12.7414 [-(-8*x^3+8*x^2-20*x+8)/(x^4-1) ogf_with_Euler_transform] A291124 99.9999 Evaluated at exp(-Pi) 1/2*Pi^2*2^(1/2)/GAMMA(3/4)^8 A291142 11.9397 [-x*(2*x-1)/(x^2+2*x-1)^2 ogf] A291142 12.9347 [-(6*x^2-2)/(2*x^3+3*x^2-4*x+1) lgdogf] A291142 3.95960 [{(n+3)*a(n+4)+(-10-4*n)*a(n+3)+(3+3*n)*a(n+2)+(6+2*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A291142 6.20865 [(2*f(x)-1)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-x) ogf] A291143 4.81836 [-x^2*(7*x^6-27*x^5+54*x^4-63*x^3+45*x^2-18*x+3)/(2*x-1)^3/(x^2-x+1)^3 ogf] A291146 11.2248 [-(x^27+x^8-1)/(x^28-x^27-x^8-x+1) ogf] A291147 6.14621 [-(x^28-x^27-x^8-x+1)/(x^27+x^8-1) ogf] A291149 11.5933 [-(15*x^16+1)/(-x^32-x^17+2*x^16+x-1) lgdogf] A291149 16.5943 [(x-1)*(x+1)*(x^2+1)*(x^4+1)*(x^8+1)/(x^16+x-1) ogf] A291149 6.91170 [-(-x^20+x^16+x^5-x^3-x^2+1)/(x^32-x^19+x^17-x^5+x^3+x^2-1) ogf_with_Euler_transform] A291168 13.4046 [-(x^33-x^2+1)/(x^32+x^2-1) ogf_with_Euler_transform] A291168 16.6087 [(x-1)*(x+1)*(x^2+1)*(x^4+1)*(x^8+1)*(x^16+1)/(x^32+x-1) ogf] A291169 9.61683 [(x^27+x^8+1)/(x^28+x^27+x^8+x+1) ogf] A291179 10.9130 [-(-2315250*x^103-2315250*x^102+266284*x^2+132720*x+44100)/(1157625*x^102+133142*x^3-66782*x^2-44310*x-22050) lgdogf] A291179 11.8224 [-x*(x^103+2*x^102+10*x^3+6*x^2+3*x+1)/(3*x^103-2*x^102-10*x^5+14*x^4-x^3-x^2-x-1) ogf] A291179 119.810 [[2] ogf_with_Euler_transform] A291181 13.9601 [-(2*x-10)/(x^2-10*x+1) lgdogf] A291181 20.5296 [8/(x^2-10*x+1) ogf] A291181 7.93188 [(9701*f(x)+2392)*(f(x)*x^2-10*f(x)*x+f(x)-8) ogf] A291181 8.30958 [{-a(n+2)+10*a(n+1)-a(n),a(0)=8,a(1)=80} ogf] A291182 10.4844 [(3*x^2-8*x+3)/(x^2-4*x+1)/(x^2-3*x+1) ogf] A291182 5.39635 [(3121*f(x)+1720)*(f(x)*x^4-7*f(x)*x^3+14*f(x)*x^2-7*f(x)*x-3*x^2+f(x)+8*x-3) ogf] A291183 10.2897 [2*(2*x-1)*(x-2)/(x^4-8*x^3+16*x^2-8*x+1) ogf] A291183 5.41163 [(289*f(x)+166)*(f(x)*x^4-8*f(x)*x^3+16*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+10*x-4) ogf] A291184 5.14953 [(4472*f(x)+2445)*(f(x)*x^4-8*f(x)*x^3+17*f(x)*x^2-8*f(x)*x-4*x^2+f(x)+11*x-4) ogf] A291184 9.93641 [(4*x^2-11*x+4)/(x^2-5*x+1)/(x^2-3*x+1) ogf] A291217 13.7467 [-x^2/(x^2+x-1)/(x^4-x^3-x^2+x+1) ogf] A291217 8.80408 [-(6*x^5-12*x^3+3*x^2+6*x)/(x^6-3*x^4+x^3+3*x^2-1) lgdogf] A291218 10.3278 [-x^4/(x^2+x-1)/(x^8-x^7-3*x^6+2*x^5+5*x^4-2*x^3-3*x^2+x+1) ogf] A291219 9.02819 [-(x^4-x^2+1)/(x^6+x^5-3*x^4-x^3+3*x^2+x-1) ogf] A291220 6.72280 [-(x^2-x-1)*(x^4+x^3-x^2-x+1)/(x^4+x^3-2*x^2+1)/(x^4-2*x^2-x+1) ogf] A291221 5.27553 [-x^2*(x^2-x-1)*(x^4+x^3-x^2-x+1)/(x^12-6*x^10+x^9+15*x^8-3*x^7-21*x^6+3*x^5+15*x^4-x^3-6*x^2+1) ogf] A291222 10.5514 [x*(x^2-x-1)/(x^6-4*x^4+x^3+4*x^2-1) ogf] A291223 7.98770 [-(x^2-x-1)*x^2/(x^8-4*x^6+x^5+5*x^4-x^3-4*x^2+1) ogf] A291224 5.74175 [-(2*x^2+x-2)*(2*x^4+2*x^3-3*x^2-2*x+2)/(x^2+x-1)^4 ogf] A291225 4.34072 [-(5*x^8+10*x^7-10*x^6-25*x^5+11*x^4+25*x^3-10*x^2-10*x+5)/(x^2+x-1)^5 ogf] A291226 3.60878 [-(2*x^2+x-2)*(3*x^4+3*x^3-5*x^2-3*x+3)*(x^4+x^3-x^2-x+1)/(x^2+x-1)^6 ogf] A291227 11.4466 [-(x^2-2*x-1)/(x^2+2*x-1)/(x^2-x-1) ogf] A291227 5.8505 [-(13*f(x)+70)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2-f(x)*x+x^2+f(x)-2*x-1) ogf] A291227 7.05195 [-(-2*x^5+5*x^4+8*x^3-6*x^2-6*x-3)/(-x^6+x^5+7*x^4-6*x^3-7*x^2+x+1) lgdogf] A291228 10.6518 [-2*(x^2-x-1)/(x^4+2*x^3-4*x^2-2*x+1) ogf] A291228 5.10397 [{-a(n+4)+2*a(n+3)+4*a(n+2)-2*a(n+1)-a(n),a(0)=2,a(1)=6,a(2)=18,a(3)=56} ogf] A291228 5.48486 [-(4*f(x)+11)*(f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+2*x^2+f(x)-2*x-2) ogf] A291228 7.65596 [-(-2*x^5+x^4+8*x^3-6*x-3)/(-x^6-x^5+7*x^4-7*x^2-x+1) lgdogf] A291229 12.8242 [-(3*x^2+2*x-3)/(x^2+x-1)/(x^2+2*x-1) ogf] A291229 6.92279 [(13*f(x)-18)*(f(x)*x^4+3*f(x)*x^3-3*f(x)*x+3*x^2+f(x)+2*x-3) ogf] A291229 7.17684 [-(-6*x^5-15*x^4+18*x^2+6*x-7)/(-3*x^6-11*x^5-3*x^4+18*x^3+3*x^2-11*x+3) lgdogf] A291230 7.49680 [-(6*x^4+11*x^3-6*x^2-11*x+6)/(x^2+2*x-1)/(x^2+3*x-1)/(x^2+x-1) ogf] A291231 4.92720 [-(10*x^6+35*x^5+20*x^4-46*x^3-20*x^2+35*x-10)/(x^2+x-1)/(x^2+3*x-1)/(x^2+4*x-1)/(x^2+2*x-1) ogf] A291232 10.8696 [-3*(x+2)*(2*x-1)/(x^2+3*x-1)^2 ogf] A291232 5.63908 [(673*f(x)-171)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2-6*f(x)*x+6*x^2+f(x)+9*x-6) ogf] A291232 9.37499 [-(-4*x^3-9*x^2-5*x+9)/(-2*x^4-9*x^3-5*x^2+9*x-2) lgdogf] A291233 7.82365 [-(x^4-x^3-x^2+x+1)/(x^6+x^5-4*x^4-x^3+4*x^2+x-1) ogf] A291234 5.73192 [-(x^2-x-1)*(x^4-x^2+1)/(x^8+x^7-5*x^6-2*x^5+7*x^4+2*x^3-5*x^2-x+1) ogf] A291235 4.57865 [-(x^8-x^7-3*x^6+2*x^5+5*x^4-2*x^3-3*x^2+x+1)/(x^10+x^9-6*x^8-3*x^7+12*x^6+5*x^5-12*x^4-3*x^3+6*x^2+x-1) ogf] A291236 10.6715 [-(4*x^2+3*x-4)/(x^2+3*x-1)/(x^2+x-1) ogf] A291236 5.62084 [(34*f(x)+45)*(f(x)*x^4+4*f(x)*x^3+f(x)*x^2-4*f(x)*x+4*x^2+f(x)+3*x-4) ogf] A291237 7.14305 [-(7*x^4+14*x^3-6*x^2-14*x+7)/(x^2+x-1)/(x^2+2*x-1)/(x^2+4*x-1) ogf] A291238 7.53475 [-(4*x^4+5*x^3-6*x^2-5*x+4)/(x^2+2*x-1)/(x^2+x-1)^2 ogf] A291239 7.61060 [-(2*x^4-x^3-6*x^2+x+2)/(x^2+x-1)/(x^2+2*x-1)/(x^2-x-1) ogf] A291240 5.22668 [-x^2*(2*x^6-6*x^4+x^3+6*x^2-2)/(x^2+x-1)^2/(x^4-x^3-x^2+x+1)^2 ogf] A291241 7.79387 [-(x^4-x^3-3*x^2+x+1)/(x^2-x-1)/(x^2+x-1)^2 ogf] A291242 7.50141 [-(2*x^2+x-2)*(x^2-x-1)/(x^6+2*x^5-4*x^4-5*x^3+4*x^2+2*x-1) ogf] A291243 11.3488 [-(3*x^2+x-3)/(x^4+3*x^3-x^2-3*x+1) ogf] A291243 5.97762 [(36*f(x)-29)*(f(x)*x^4+3*f(x)*x^3-f(x)*x^2-3*f(x)*x+3*x^2+f(x)+x-3) ogf] A291243 6.92980 [-(-6*x^5-12*x^4+6*x^3+19*x^2-8)/(-3*x^6-10*x^5+3*x^4+19*x^3-3*x^2-10*x+3) lgdogf] A291244 10.8696 [-(4*x^2+x-4)/(x^4+4*x^3-x^2-4*x+1) ogf] A291244 5.72518 [(38*f(x)-25)*(f(x)*x^4+4*f(x)*x^3-f(x)*x^2-4*f(x)*x+4*x^2+f(x)+x-4) ogf] A291244 6.57894 [-(8*x^5+19*x^4-8*x^3-33*x^2+15)/(4*x^6+17*x^5-4*x^4-33*x^3+4*x^2+17*x-4) lgdogf] A291245 10.4516 [-(5*x^2+x-5)/(x^4+5*x^3-x^2-5*x+1) ogf] A291245 5.34195 [-(20*f(x)-11)*(f(x)*x^4+5*f(x)*x^3-f(x)*x^2-5*f(x)*x+5*x^2+f(x)+x-5) ogf] A291246 10.3931 [-(6*x^2+x-6)/(x^4+6*x^3-x^2-6*x+1) ogf] A291246 5.43274 [(117*f(x)-55)*(f(x)*x^4+6*f(x)*x^3-f(x)*x^2-6*f(x)*x+6*x^2+f(x)+x-6) ogf] A291247 5.78492 [-(x^6-x^5-2*x^4+3*x^3+2*x^2-x-1)/(x^8+x^7-5*x^6-2*x^5+9*x^4+2*x^3-5*x^2-x+1) ogf] A291248 4.47645 [-(x^8-x^7-3*x^6+2*x^5+3*x^4-2*x^3-3*x^2+x+1)/(x^2-x-1)/(x^8+2*x^7-3*x^6-4*x^5+5*x^4+4*x^3-3*x^2-2*x+1) ogf] A291249 4.70364 [-(x^8-x^7-3*x^6+4*x^5+3*x^4-4*x^3-3*x^2+x+1)/(x^2+x-1)/(x^4+x^3-3*x^2-x+1)/(x^4-x^3-x^2+x+1) ogf] A291250 7.82084 [-(x^4-2*x^3-4*x^2+2*x+1)/(x^2+x-1)/(x^4-4*x^2+1) ogf] A291251 9.32017 [x*(3*x^2+2*x-3)/(x^2-2*x-1)/(x^2+x-1)^2 ogf] A291253 5.86102 [-(x^2+x-1)*(2*x^2-x-2)*(x^2-x-1)/(x^4+x^3-3*x^2-x+1)^2 ogf] A291254 5.60534 [-(2*x^2-x-2)*(2*x^4+2*x^3-5*x^2-2*x+2)/(x^4+2*x^3-3*x^2-2*x+1)^2 ogf] A291255 5.52334 [-(x^2-2*x-1)*(2*x^4+x^3-6*x^2-x+2)/(x^2+2*x-1)^2/(x^2-x-1)^2 ogf] A291257 11.0108 [-(x^2-x-1)/(x^4+2*x^3-4*x^2-2*x+1) ogf] A291257 5.31288 [{-a(n+4)+2*a(n+3)+4*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=28} ogf] A291257 5.84417 [(8*f(x)+11)*(f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+x^2+f(x)-x-1) ogf] A291257 7.91398 [-(-2*x^5+x^4+8*x^3-6*x-3)/(-x^6-x^5+7*x^4-7*x^2-x+1) lgdogf] A291264 10.8659 [-4*(x^2+x-1)/(x^2+2*x-1)^2 ogf] A291264 11.0257 [-(2*x^3+3*x^2-3)/(x^4+3*x^3-3*x+1) lgdogf] A291264 5.13524 [{-a(n+4)+4*a(n+3)-2*a(n+2)-4*a(n+1)-a(n),a(0)=4,a(1)=12,a(2)=36,a(3)=104} ogf] A291264 5.76728 [(19*f(x)-2)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+4*x^2+f(x)+4*x-4) ogf] A291265 11.1437 [-(x+2)*(2*x-1)/(x^2+3*x-1)^2 ogf] A291265 5.82508 [(673*f(x)-57)*(f(x)*x^4+6*f(x)*x^3+7*f(x)*x^2-6*f(x)*x+2*x^2+f(x)+3*x-2) ogf] A291265 9.61140 [-(-4*x^3-9*x^2-5*x+9)/(-2*x^4-9*x^3-5*x^2+9*x-2) lgdogf] A291268 11.6591 [(x^4+2*x^2-x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A291271 12.3115 [x*(2*x^2-x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A291285 11.7136 [x/(81*x^4+108*x^3+54*x^2+12*x+1) revogf] A291285 4.36389 [{(256*n^3+1920*n^2+4784*n+3960)*a(n+1)+(-9*n^3-81*n^2-242*n-240)*a(n+2),a(0)=1,a(1)=12} ogf] A291286 3.20175 [{(-n^3-2*n^2-n)*a(n)+(-n^3-7*n^2-14*n-8)*a(n+1)+(-n^2-5*n-8)*a(n+2)+(n+3)*a(n+3),a(0)=1,a(1)=2,a(2)=4} ogf] A291287 5.22252 [{(n^2+n)*a(n)+(n+2)*a(n+1)-a(n+2),a(0)=1,a(1)=1,a(2)=3} ogf] A291288 12.5446 [-(-30*x^2-5)/(-6*x^3+8*x^2-3*x+1) lgdogf] A291288 3.80706 [{(n+4)*a(n+4)+(-14-3*n)*a(n+3)+(8*n+16)*a(n+2)+(-36-6*n)*a(n+1),a(0)=1,a(1)=5,a(2)=20,a(3)=70} ogf] A291288 7.88887 [-(6*x^2-2*x+1)/(x-1)^7 ogf] A291289 10.6036 [-(x^4-3*x^2)/(x^5+x^4-x^3-2*x^2+1) lgdogf] A291289 12.028 [f(x)*x^3+f(x)*x^2-2*x^2-f(x)+2 ogf] A291289 15.2052 [2*(x-1)*(x+1)/(x^3+x^2-1) ogf] A291289 8.75952 [{-a(n+3)+a(n+1)+a(n),a(0)=2,a(1)=0,a(2)=0} ogf] A291290 9.74611 [x*(3*x^7+x^6+x^5+3*x^4+x^3+x^2+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A291292 5.43336 [9*f(x)^2*x^2-6*f(x)*x^3+x^4-6*f(x)^2*x-22*f(x)*x^2+12*x^3+f(x)^2+17*f(x)*x+8*x^2-3*f(x)-10*x+2 ogf] A291304 8.88698 [(x^8+x^6+3*x^4-2*x^3+x^2+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A291305 10.9977 [(5*x^4-3*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A291306 10.8327 [2*x^2*(3*x^3-2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A291307 10.2278 [x^2*(3*x^3-2*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A291311 11.9257 [-(x-1)*(x+1)/(x^2+x-1)/(x^4+x-1) ogf] A291330 12.8978 [2*x*(2*x^2-x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A291337 12.3729 [-(2*x^2-2*x+1)/(5*x^3-7*x^2+5*x-1) ogf] A291337 6.45083 [-(27*f(x)+13)*(5*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A291337 6.67918 [{-a(n+3)+5*a(n+2)-7*a(n+1)+5*a(n),a(0)=1,a(1)=3,a(2)=10} ogf] A291337 7.25718 [-(-10*x^4+20*x^3-19*x^2+10*x-3)/(-10*x^5+24*x^4-29*x^3+19*x^2-7*x+1) lgdogf] A291357 8.32241 [-(2*x^5+4*x^4+2*x^3+3*x^2+2*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A291358 8.32241 [-(2*x^5+5*x^4+2*x^3+3*x^2+2*x+5)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A291379 7.46250 [-x^3*(x+1)^4/(x^2+x+1)/(x^4+2*x^3+x^2+1)/(x^2+x-1) ogf] A291380 6.18929 [-x^4*(x+1)^5/(x^2+x-1)/(x^8+4*x^7+7*x^6+7*x^5+5*x^4+3*x^3+2*x^2+x+1) ogf] A291381 5.32870 [-x^5*(x+1)^6/(x^2+x+1)/(x^2+x-1)/(x^4+2*x^3-x+1)/(x^4+2*x^3+2*x^2+x+1) ogf] A291382 5.43693 [(7*f(x)-3)*(f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2+x^3+2*f(x)*x+2*x^2-f(x)+3*x+2) ogf] A291382 9.67351 [-(x+1)*(x^2+x+2)/(x^4+2*x^3+3*x^2+2*x-1) ogf] A291383 5.20837 [-(18*f(x)-7)*(2*f(x)*x^4+4*f(x)*x^3+4*f(x)*x^2+2*x^3+2*f(x)*x+4*x^2-f(x)+4*x+2) ogf] A291383 9.60505 [-2*(x+1)*(x^2+x+1)/(2*x^4+4*x^3+4*x^2+2*x-1) ogf] A291384 5.0707 [-(36*f(x)-7)*(2*f(x)*x^4+4*f(x)*x^3+4*f(x)*x^2+x^3+2*f(x)*x+2*x^2-f(x)+2*x+1) ogf] A291384 9.35117 [-(x+1)*(x^2+x+1)/(2*x^4+4*x^3+4*x^2+2*x-1) ogf] A291385 11.8934 [-(x+1)*(x^2+x-1)/(2*x^2+2*x-1)^2 ogf] A291385 3.39066 [{(-4*n^2-32*n-48)*a(n+1)+(-6*n^2-50*n-96)*a(n+2)+(-32-8*n)*a(n+3)+(n^2+9*n+20)*a(n+4),a(0)=1,a(1)=4,a(2)=14,a(3)=47} ogf] A291385 6.18457 [-(6872*f(x)-1407)*(4*f(x)*x^4+8*f(x)*x^3+x^3-4*f(x)*x+2*x^2+f(x)-1) ogf] A291385 8.05281 [-(-2*x^4-6*x^3-3*x^2+4*x+4)/(-2*x^5-6*x^4-3*x^3+4*x^2+2*x-1) lgdogf] A291386 4.84275 [-(1179*f(x)-323)*(9*f(x)*x^4+18*f(x)*x^3+3*f(x)*x^2+3*x^3-6*f(x)*x+6*x^2+f(x)+x-2) ogf] A291386 7.04835 [-(-9*x^4-27*x^3-18*x^2+9*x+11)/(-9*x^5-27*x^4-18*x^3+9*x^2+7*x-2) lgdogf] A291386 9.12671 [-(x+1)*(3*x^2+3*x-2)/(3*x^2+3*x-1)^2 ogf] A291387 4.6569 [-(10446*f(x)-8623)*(16*f(x)*x^4+32*f(x)*x^3+8*f(x)*x^2+16*x^3-8*f(x)*x+32*x^2+f(x)+8*x-8) ogf] A291387 7.07848 [-(-8*x^4-24*x^3-18*x^2+4*x+7)/(-8*x^5-24*x^4-18*x^3+4*x^2+5*x-1) lgdogf] A291387 8.73886 [-8*(x+1)*(2*x^2+2*x-1)/(4*x^2+4*x-1)^2 ogf] A291388 4.74505 [-(83568*f(x)-8623)*(16*f(x)*x^4+32*f(x)*x^3+8*f(x)*x^2+2*x^3-8*f(x)*x+4*x^2+f(x)+x-1) ogf] A291388 7.11756 [-(-8*x^4-24*x^3-18*x^2+4*x+7)/(-8*x^5-24*x^4-18*x^3+4*x^2+5*x-1) lgdogf] A291388 9.00957 [-(x+1)*(2*x^2+2*x-1)/(4*x^2+4*x-1)^2 ogf] A291389 4.54701 [-(1009*f(x)-837)*(25*f(x)*x^4+50*f(x)*x^3+15*f(x)*x^2+25*x^3-10*f(x)*x+50*x^2+f(x)+15*x-10) ogf] A291389 6.73308 [-(-25*x^4-75*x^3-60*x^2+5*x+17)/(-25*x^5-75*x^4-60*x^3+5*x^2+13*x-2) lgdogf] A291389 8.23812 [-5*(x+1)*(5*x^2+5*x-2)/(5*x^2+5*x-1)^2 ogf] A291390 4.81056 [-(5045*f(x)-837)*(25*f(x)*x^4+50*f(x)*x^3+15*f(x)*x^2+5*x^3-10*f(x)*x+10*x^2+f(x)+3*x-2) ogf] A291390 6.98456 [-(-25*x^4-75*x^3-60*x^2+5*x+17)/(-25*x^5-75*x^4-60*x^3+5*x^2+13*x-2) lgdogf] A291390 8.85846 [-(x+1)*(5*x^2+5*x-2)/(5*x^2+5*x-1)^2 ogf] A291391 4.50352 [(2362*f(x)-1969)*(36*f(x)*x^4+72*f(x)*x^3+24*f(x)*x^2+36*x^3-12*f(x)*x+72*x^2+f(x)+24*x-12) ogf] A291391 7.47287 [-(-18*x^4-54*x^3-45*x^2+10)/(-18*x^5-54*x^4-45*x^3+8*x-1) lgdogf] A291391 8.00036 [-12*(x+1)*(3*x^2+3*x-1)/(6*x^2+6*x-1)^2 ogf] A291392 4.60793 [(28344*f(x)-1969)*(36*f(x)*x^4+72*f(x)*x^3+24*f(x)*x^2+3*x^3-12*f(x)*x+6*x^2+f(x)+2*x-1) ogf] A291392 7.49420 [-(-18*x^4-54*x^3-45*x^2+10)/(-18*x^5-54*x^4-45*x^3+8*x-1) lgdogf] A291392 8.41941 [-(x+1)*(3*x^2+3*x-1)/(6*x^2+6*x-1)^2 ogf] A291393 5.28958 [(3828*f(x)-2963)*(2*f(x)*x^4+4*f(x)*x^3-f(x)*x^2+2*x^3-3*f(x)*x+4*x^2+f(x)-x-3) ogf] A291393 9.82349 [-(x+1)*(2*x^2+2*x-3)/(2*x^2+2*x-1)/(x^2+x-1) ogf] A291394 5.21367 [(1011*f(x)-745)*(3*f(x)*x^4+6*f(x)*x^3-f(x)*x^2+3*x^3-4*f(x)*x+6*x^2+f(x)-x-4) ogf] A291394 9.61483 [-(x+1)*(3*x^2+3*x-4)/(3*x^2+3*x-1)/(x^2+x-1) ogf] A291395 5.04008 [-(105060*f(x)-85243)*(6*f(x)*x^4+12*f(x)*x^3+f(x)*x^2+6*x^3-5*f(x)*x+12*x^2+f(x)+x-5) ogf] A291395 9.69738 [-(x+1)*(6*x^2+6*x-5)/(2*x^2+2*x-1)/(3*x^2+3*x-1) ogf] A291396 6.29985 [-(x+1)*(6*x^4+12*x^3-5*x^2-11*x+6)/(2*x^2+2*x-1)/(3*x^2+3*x-1)/(x^2+x-1) ogf] A291397 7.21757 [-(x+1)*(x^4+2*x^3+x^2+1)/(x^3+x^2+1)/(x^3+2*x^2+x-1) ogf] A291398 7.92034 [-x*(x^2+x+1)*(x+1)^2/(x^6+3*x^5+4*x^4+3*x^3+x^2-1) ogf] A291399 5.27782 [-(x+1)*(x^2+x+1)*(x^4+2*x^3+x^2+1)/(x^8+4*x^7+7*x^6+7*x^5+5*x^4+3*x^3+2*x^2+x-1) ogf] A291400 5.82756 [-x*(x^4+2*x^3+x^2+1)*(x+1)^2/(x^8+4*x^7+6*x^6+4*x^5+2*x^4+2*x^3+x^2-1) ogf] A291401 6.40387 [-(x+1)*(x^2+x+1)*(x^4+2*x^3-x+1)/(x^8+4*x^7+6*x^6+4*x^5+x^4+x^2+x-1) ogf] A291402 6.33779 [-x^2*(x^2+x+1)*(x+1)^3/(x^8+4*x^7+7*x^6+7*x^5+4*x^4+x^3-1) ogf] A291403 5.73280 [-x*(x^4+2*x^3+x^2+2)*(x+1)^2/(x^8+4*x^7+6*x^6+4*x^5+3*x^4+4*x^3+2*x^2-1) ogf] A291404 5.87727 [-x*(2*x^4+4*x^3+2*x^2+1)*(x+1)^2/(2*x^4+4*x^3+2*x^2-1)/(x^4+2*x^3+x^2+1) ogf] A291405 5.54526 [-2*x*(x^4+2*x^3+x^2+1)*(x+1)^2/(2*x^8+8*x^7+12*x^6+8*x^5+4*x^4+4*x^3+2*x^2-1) ogf] A291406 5.74175 [-x*(x^4+2*x^3+x^2+1)*(x+1)^2/(2*x^8+8*x^7+12*x^6+8*x^5+4*x^4+4*x^3+2*x^2-1) ogf] A291407 3.94254 [-x^2*(x^2+x+1)*(x^4+2*x^3-x+1)*(x+1)^3/(x^12+6*x^11+15*x^10+20*x^9+15*x^8+6*x^7+2*x^6+3*x^5+3*x^4+x^3-1) ogf] A291408 7.26567 [-(x+1)*(x^4+2*x^3-x-1)/(x^2+x+1)/(x^2+x-1)^2 ogf] A291409 5.72721 [-(x+1)*(x^6+3*x^5+x^4-3*x^3-2*x^2+2)/(x^2+x+1)/(x^2+x-1)^3 ogf] A291410 7.01263 [-(x+1)*(2*x^4+4*x^3+3*x^2+x+1)/(2*x^2+2*x-1)/(x^4+2*x^3+2*x^2+x+1) ogf] A291411 7.18410 [-(x-1)*(x+2)*(x+1)*(x^2+x+1)/(x^6+3*x^5+2*x^4-x^3-3*x^2-2*x+1) ogf] A291412 7.14564 [-(x+1)*(x^4+2*x^3-x^2-2*x-1)/(x^6+3*x^5+x^4-3*x^3-3*x^2-x+1) ogf] A291413 6.69554 [-(x+1)*(x^4+2*x^3+2*x^2+x-3)/(x^2+x-1)/(x^4+2*x^3+3*x^2+2*x-1) ogf] A291414 6.92721 [-(x+1)*(x^4+2*x^3+x^2-2)/(x^2+x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A291415 5.23131 [(1631*f(x)-893)*(f(x)*x^4+2*f(x)*x^3-2*f(x)*x^2+x^3-3*f(x)*x+2*x^2+f(x)-2*x-3) ogf] A291415 9.64736 [-(x+1)*(x^2+x-3)/(x^4+2*x^3-2*x^2-3*x+1) ogf] A291416 5.29676 [(526*f(x)-237)*(f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+x^3-4*f(x)*x+2*x^2+f(x)-3*x-4) ogf] A291416 9.69925 [-(x+1)*(x^2+x-4)/(x^4+2*x^3-3*x^2-4*x+1) ogf] A291417 5.06711 [(2198*f(x)-1363)*(2*f(x)*x^4+4*f(x)*x^3-2*f(x)*x^2+2*x^3-4*f(x)*x+4*x^2+f(x)-2*x-4) ogf] A291417 9.41032 [-2*(x-1)*(x+2)*(x+1)/(2*x^4+4*x^3-2*x^2-4*x+1) ogf] A291419 5.29839 [-(20*x^12+10*x^11-10*x^10+4*x^5-4*x^4-2*x^2-x+1)/(20*x^13-20*x^12-20*x^11+10*x^10-8*x^5+4*x^4-2*x^3+2*x^2+2*x-1) ogf] A291454 12.2382 [-(x+1)*(x^5+x^4+x^3+x^2+2)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A291462 5.31227 [(4396*f(x)-1363)*(2*f(x)*x^4+4*f(x)*x^3-2*f(x)*x^2+x^3-4*f(x)*x+2*x^2+f(x)-x-2) ogf] A291462 9.86566 [-(x-1)*(x+2)*(x+1)/(2*x^4+4*x^3-2*x^2-4*x+1) ogf] A291497 10.6999 [-(-3*x^5+5*x^4-5*x+5)/(x^6-x^5-5*x^2+10*x-5) lgdogf] A291497 16.3527 [-(x^5-5*x+5)/(x-1)^2 ogf] A291498 10.6898 [-(-4*x^6+3*x^5+5*x^4-11*x+11)/(x^7-x^5-11*x^2+22*x-11) lgdogf] A291498 15.7801 [-(x^6+x^5-11*x+11)/(x-1)^2 ogf] A291499 10.4129 [-(5*x^7+x^6-12*x^5+19*x-19)/(-x^8-x^7+2*x^6+19*x^2-38*x+19) lgdogf] A291499 16.8590 [-(x^7+2*x^6-19*x+19)/(x-1)^2 ogf] A291500 10.7878 [-(6*x^8+7*x^7-21*x^6+29*x-29)/(-x^9-2*x^8+3*x^7+29*x^2-58*x+29) lgdogf] A291500 17.4660 [-(x^8+3*x^7-29*x+29)/(x-1)^2 ogf] A291501 10.7846 [-(7*x^9+15*x^8-32*x^7+41*x-41)/(-x^10-3*x^9+4*x^8+41*x^2-82*x+41) lgdogf] A291501 17.8032 [-(x^9+4*x^8-41*x+41)/(x-1)^2 ogf] A291502 10.6014 [-(8*x^10+25*x^9-45*x^8+55*x-55)/(-x^11-4*x^10+5*x^9+55*x^2-110*x+55) lgdogf] A291502 17.7242 [-(x^10+5*x^9-55*x+55)/(x-1)^2 ogf] A291509 9.31929 [-(2*x^7-2*x^6+2*x^5-2*x^4+2*x^3-2*x^2-6*x+7)/(x-1)^2 ogf] A291510 12.2734 [-(-5*x^7+7*x^6-7*x+7)/(x^8-x^7-7*x^2+14*x-7) lgdogf] A291510 18.0754 [2*(x^7-7*x+7)/(x-1)^2 ogf] A291511 10.3118 [-(2*x^8+2*x^7-2*x^6+2*x^5-2*x^4+2*x^3-2*x^2-22*x+23)/(x-1)^2 ogf] A291512 11.7060 [-(7*x^9-3*x^8-8*x^7+17*x-17)/(-x^10+x^8+17*x^2-34*x+17) lgdogf] A291512 17.4660 [-2*(x^9+x^8-17*x+17)/(x-1)^2 ogf] A291513 9.34667 [-(2*x^10+4*x^9-2*x^8+2*x^7-2*x^6+2*x^5-2*x^4+2*x^3-2*x^2-46*x+47)/(x-1)^2 ogf] A291514 10.5694 [-(-7*x^9+9*x^8-9*x+9)/(x^10-x^9-9*x^2+18*x-9) lgdogf] A291514 16.3527 [-(x^9-9*x+9)/(x-1)^2 ogf] A291514 4.63473 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=-9,a(1)=-9,a(2)=-9,a(3)=-9,a(4)=-9,a(5)=-9,a(6)=-9,a(7)=-9,a(8)=-9,a(9)=-10} ogf] A291515 8.28458 [-(x^10-x^9+2*x^8+2*x^7-4*x^6+2*x^5+2*x^4-4*x^3+2*x^2-17*x+17)/(x-1)^2 ogf] A291516 12.9527 [-(-7*x^9+9*x^8-9*x+9)/(x^10-x^9-9*x^2+18*x-9) lgdogf] A291516 19.3113 [3*(x^9-9*x+9)/(x-1)^2 ogf] A291516 5.41898 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=27,a(1)=27,a(2)=27,a(3)=27,a(4)=27,a(5)=27,a(6)=27,a(7)=27,a(8)=27,a(9)=30} ogf] A291517 10.3808 [-(-24*x^10+23*x^9+9*x^8-39*x+39)/(3*x^11-2*x^10-x^9-39*x^2+78*x-39) lgdogf] A291517 17.1931 [-(3*x^10+x^9-39*x+39)/(x-1)^2 ogf] A291520 5.62533 [{-a(n+5)+a(n+3),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5} ogf] A291520 6.32849 [-(f(x)+10)*(2*x^4+f(x)*x^2+2*x^3+2*x^2-f(x)+2*x+1) ogf] A291520 9.34671 [-(2*x^4+2*x^3+2*x^2+2*x+1)/(x-1)/(x+1) ogf] A291521 7.01496 [-(2*x^11-2*x^10+2*x^9-2*x^8+2*x^7-2*x^6+2*x^5-2*x^4+2*x^3-2*x^2-10*x+11)/(x-1)^2 ogf] A291522 11.1702 [-(-8*x^10+10*x^9-10*x+10)/(x^11-x^10-10*x^2+20*x-10) lgdogf] A291522 17.7527 [-2*(x^10-10*x+10)/(x-1)^2 ogf] A291523 8.85100 [-(2*x^11+4*x^9-6*x^8+4*x^7-2*x^6+4*x^5-6*x^4+4*x^3-2*x^2-30*x+31)/(x-1)^2 ogf] A291526 16.0968 [-(6*x-5)/(2*x^2-3*x+1) lgdogf] A291526 17.1700 [-4*x^2/(x-1)/(2*x-1)^2 ogf] A291526 7.02407 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A291526 9.53885 [4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x+4*x^2-f(x) ogf] A291534 10.4895 [-x^3*f(x)^3-f(x)^2*x^2+f(x)*x-f(x)+1 ogf] A291534 16.8270 [-x/(x^3+x^2-x-1) revogf] A291535 10.0987 [-f(x)^2*x^2-2*f(x)^2*x-f(x)*x-f(x)+1 ogf] A291535 14.9539 [-(-2*x^2-x)/(-x^2-x+1) revogf] A291535 3.81177 [{(-5*n-10)*a(n+1)+(-20*n-55)*a(n+2)+(-21*n-75)*a(n+3)+(-2*n-10)*a(n+4),a(0)=1,a(1)=-3,a(2)=14,a(3)=-82} ogf] A291536 9.33697 [-(-x^3-4*x^2-x)/(x^4-4*x^3+6*x^2-4*x+1) revogf] A291537 11.2094 [-(48*x^2-20*x+7)/(x-1)/(8*x-1)/(2*x-1) ogf] A291537 5.60469 [(121120629*f(x)-103536728)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x+48*x^2-f(x)-20*x+7) ogf] A291537 6.26964 [{a(n+3)-11*a(n+2)+26*a(n+1)-16*a(n),a(0)=7,a(1)=57,a(2)=493} ogf] A291537 6.37774 [-(768*x^4-640*x^3+328*x^2-268*x+57)/(768*x^5-1568*x^4+1160*x^3-450*x^2+97*x-7) lgdogf] A291551 10.8622 [(f(x)-x-1)^2 ogf] A291557 12.3574 [(47*f(x)+991)*(2*f(x)*x^2-3*f(x)*x+f(x)+21*x-22) ogf] A291557 13.2400 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=22,a(1)=45} ogf] A291557 15.4467 [-(-42*x^2+88*x-45)/(-42*x^3+107*x^2-87*x+22) lgdogf] A291557 23.6630 [-(21*x-22)/(2*x-1)/(x-1) ogf] A291561 8.39137 [{(4*n^3+32*n^2+81*n+63)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=10} ogf] A291568 6.98316 [-f(x)*(f(x)*x^5-3*x^4+x^3+x^2-f(x)+x+1) ogf] A291568 9.34671 [(3*x^4-x^3-x^2-x-1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A291569 8.53708 [-(x^13+2*x^11-4*x^10+2*x^9+2*x^6-4*x^5+2*x^4-13*x+13)/(x-1)^2 ogf] A291570 9.37876 [-(x^12+3*x^11-4*x^10+2*x^9+x^7-3*x^5+2*x^4-23*x+23)/(x-1)^2 ogf] A291574 8.28807 [(4*x^5-x^4+x^2-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A291575 5.48442 [-(2*x^15-2*x^14+4*x^13-6*x^12+4*x^11-2*x^10+2*x^9-2*x^8+4*x^7-6*x^6+4*x^5-2*x^4+2*x^3-2*x^2-14*x+15)/(x-1)^2 ogf] A291578 7.50044 [(5*x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A291582 15.8341 [-6*(7*x+5)/(x-1)^3 ogf] A291582 17.4175 [-(14*x+22)/(7*x^2-2*x-5) lgdogf] A291582 7.44339 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=30,a(1)=132,a(2)=306} ogf] A291582 7.70688 [(6840*f(x)-322331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+42*x+30) ogf] A291584 6.89691 [(6*x^7-x^6-x^4+2*x^3-x^2-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A291622 3.47300 [-(144*x^11-1128*x^10+3876*x^9-7634*x^8+9470*x^7-7077*x^6+3717*x^5-1084*x^4-74*x^3+101*x^2-13*x+2)/(2*x-1)^2/(x-1)^7 ogf] A291623 5.01230 [-(4*x^8-27*x^7+77*x^6-99*x^5+273*x^4+33*x^3+41*x^2-3*x+1)/(x-1)^7 ogf] A291632 30.1770 [1+2*x lgdegf] A291632 4.55502 [{(-2*n^2-10*n-12)*a(n+1)+(-3-n)*a(n+2)+(n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A291658 13.4861 [-10*(x-1)/(25*x-1)/(5*x-1) ogf] A291658 7.25059 [(62*f(x)+221)*(125*f(x)*x^2-30*f(x)*x+f(x)+10*x-10) ogf] A291658 7.66255 [{-a(n+2)+30*a(n+1)-125*a(n),a(0)=10,a(1)=290} ogf] A291658 9.11222 [-(-125*x^2+250*x-29)/(-125*x^3+155*x^2-31*x+1) lgdogf] A291660 14.2113 [-(x^2-x+2)/(x^2-x+1)/(x^2+x-1) ogf] A291660 7.74006 [-(-2*x^5+3*x^4-8*x^3+x^2+2*x-3)/(-x^6+x^5-x^4-3*x^3+5*x^2-5*x+2) lgdogf] A291660 7.80979 [(f(x)+5)*(f(x)*x^4-f(x)*x^2+2*f(x)*x+x^2-f(x)-x+2) ogf] A291675 11.3471 [2*(2*x^2+3*x+2)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A291675 5.67354 [(238549*f(x)+76312)*(2*f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2-2*f(x)*x-4*x^2+f(x)-6*x-4) ogf] A291681 6.31425 [-(x^6+x^5-3*x^4-2*x^3+5*x^2+9*x+1)/(x-1)^3/(x+1)^4 ogf] A291703 4.73793 [{a(n+4)-11*a(n+3)+26*a(n+2)-16*a(n+1),a(0)=7,a(1)=54,a(2)=490,a(3)=4050} ogf] A291703 4.77177 [(39959997*f(x)-183815879)*(16*f(x)*x^3-26*f(x)*x^2-48*x^3+11*f(x)*x+78*x^2-f(x)-23*x+7) ogf] A291703 8.90731 [(48*x^3-78*x^2+23*x-7)/(x-1)/(8*x-1)/(2*x-1) ogf] A291706 12.9357 [(x^3-3*x^2-3*x-3)/(x^2+2*x-1) ogf] A291706 6.80240 [{-a(n+4)+2*a(n+3)+a(n+2),a(0)=3,a(1)=9,a(2)=24,a(3)=56} ogf] A291706 7.66095 [(11*f(x)+21)*(f(x)*x^2-x^3+2*f(x)*x+3*x^2-f(x)+3*x+3) ogf] A291706 8.05182 [-(-x^4-4*x^3+6*x^2-12*x-9)/(x^5-x^4-10*x^3-6*x^2-3*x+3) lgdogf] A291723 8.98201 [-x^2*(x^2+1)^3/(x^2-x+1)/(x^3+x-1)/(x^4+x^3+2*x^2+2*x+1) ogf] A291724 6.10829 [-x^4*(x^2+1)^5/(x^3+x-1)/(x^12+4*x^10+x^9+6*x^8+3*x^7+5*x^6+3*x^5+3*x^4+2*x^3+x^2+x+1) ogf] A291725 5.03458 [{(-n-8)*a(n+1)+(-n-6)*a(n+3)+(n+5)*a(n+4),a(0)=2,a(1)=3,a(2)=6,a(3)=11} ogf] A291725 8.82405 [-(x-1)*(x^2+1)*(x^2+x+2)/(x^3+x-1)^2 ogf] A291726 4.88662 [{(-n-11)*a(n+1)+(-n-7)*a(n+3)+(n+5)*a(n+4),a(0)=3,a(1)=6,a(2)=13,a(3)=27} ogf] A291726 5.71838 [-(x^2+1)*(x^6+2*x^4-3*x^3+x^2-3*x+3)/(x^3+x-1)^3 ogf] A291727 4.00242 [-(x-1)*(x^2+1)*(x^2+x+2)*(x^6+2*x^4-2*x^3+x^2-2*x+2)/(x^3+x-1)^4 ogf] A291727 4.82219 [{(-n-14)*a(n+1)+(-n-8)*a(n+3)+(n+5)*a(n+4),a(0)=4,a(1)=10,a(2)=24,a(3)=55} ogf] A291728 8.56943 [-(x^2+1)*(x^3+x+1)/(x^6+2*x^4+x^3+x^2+x-1) ogf] A291729 8.43635 [-(x+1)*(x^2+1)*(x^2-x+2)/(x^6+2*x^4+2*x^3+x^2+2*x-1) ogf] A291730 7.83205 [-2*(x^2+1)*(x^3+x+1)/(2*x^6+4*x^4+2*x^3+2*x^2+2*x-1) ogf] A291731 8.13343 [-(x^2+1)*(x^3+x+1)/(2*x^6+4*x^4+2*x^3+2*x^2+2*x-1) ogf] A291732 4.38343 [{(-2*n-16)*a(n+1)+(-2*n-12)*a(n+3)+(n+5)*a(n+4),a(0)=4,a(1)=12,a(2)=36,a(3)=104} ogf] A291732 7.91845 [-4*(x^2+1)*(x^3+x-1)/(2*x^3+2*x-1)^2 ogf] A291733 4.74107 [{(-2*n-16)*a(n+1)+(-2*n-12)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=3,a(2)=9,a(3)=26} ogf] A291733 8.41157 [-(x^2+1)*(x^3+x-1)/(2*x^3+2*x-1)^2 ogf] A291734 8.30185 [-(x^2+1)*(2*x^3+2*x-3)/(2*x^3+2*x-1)/(x^3+x-1) ogf] A291735 7.95372 [-(x^2+1)*(x^6+2*x^4+x^2+1)/(x^9+3*x^7+3*x^5+2*x^3+x-1) ogf] A291736 6.04441 [-x*(x^3+x+1)*(x^2+1)^2/(x^3-x^2+2*x-1)/(x^6+x^5+2*x^4+2*x^3+2*x^2+2*x+1) ogf] A291737 5.48128 [-(x^2+1)*(x^2-x+1)*(x^4+x^3+2*x^2+2*x+1)/(x^9+3*x^7+x^6+3*x^5+2*x^4+2*x^3+x^2+x-1) ogf] A291738 6.12762 [-(x^2+1)*(x^2+x+1)*(x^4-x^3+2*x^2-2*x+1)*(x^3+x+1)/(x^12+4*x^10+6*x^8+4*x^6+x^4+x^3+x-1) ogf] A291740 6.55145 [-(x^2+1)*(x^6+2*x^4-x^3+x^2-x-1)/(x^3+x+1)/(x^3+x-1)^2 ogf] A291741 5.66287 [-(x^2+1)*(x^2+x+1)*(x^4-x^3+2*x^2-2*x+1)/(x^6+2*x^4+x^2+1)/(x^3+x-1) ogf] A291772 7.37176 [-(10*x^4+68*x^3+21*x^2-4*x+4)/(2*x^5+17*x^4+7*x^3-2*x^2+4*x-1) ogf] A291773 12.3781 [-(5*x^3-2*x^2+3*x-1)/(3*x-1)/(x-1) ogf] A291773 6.62339 [{a(n+4)-4*a(n+3)+3*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=4} ogf] A291773 7.33074 [-(15*x^4-40*x^3+14*x^2+2*x-1)/(-15*x^5+26*x^4-22*x^3+17*x^2-7*x+1) lgdogf] A291773 7.4759 [(4*f(x)-9)*(3*f(x)*x^2+5*x^3-4*f(x)*x-2*x^2+f(x)+3*x-1) ogf] A291778 11.0918 [{a(n+3)-4*a(n),a(0)=1,a(1)=1,a(2)=2} ogf] A291778 11.2397 [(f(x)-1)*(4*f(x)*x^3+2*x^2-f(x)+x+1) ogf] A291778 17.2037 [-(2*x^2+x+1)/(4*x^3-1) ogf] A291778 8.69052 [-(-8*x^4-8*x^3-12*x^2-4*x-1)/(-8*x^5-4*x^4-4*x^3+2*x^2+x+1) lgdogf] A291779 13.3088 [-(-32*x^3+12*x^2+2)/(-8*x^4+4*x^3+2*x-1) lgdogf] A291779 20.7026 [x/(2*x-1)/(4*x^3-1) ogf] A291779 9.41027 [(f(x)+1)*(8*f(x)*x^4-4*f(x)*x^3-2*f(x)*x+f(x)-x) ogf] A291823 13.4131 [x/(x^2+x+1)/(x^6+x^3+1) revogf] A291832 4.67365 [64*(x^6+120*x^5+1191*x^4+2416*x^3+1191*x^2+120*x+1)/(x-1)^8 ogf] A291856 3.44275 [{(2*n^2+8*n+8)*a(n+1)+(-n^2-5*n-8)*a(n+2)+(-8-3*n)*a(n+3)+(n+4)*a(n+4),a(0)=-1,a(1)=1,a(2)=0,a(3)=2} ogf] A291887 7.34978 [-(x^4+2*x^2-3*x+1)/(2*x-1)/(x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A291888 6.15587 [(3*x^4-5*x^3+6*x^2-4*x+1)/(3*x-1)/(x-1)/(x^2-3*x+1)/(3*x^2-1)/(x^2+x-1) ogf] A291889 4.80466 [-(3*x^5-14*x^4+18*x^3-12*x^2+5*x-1)/(3*x-1)/(x-1)/(3*x^2-1)/(x^3-2*x^2-x+1)/(x^3-6*x^2+5*x-1) ogf] A291898 3.93023 [{(-27*n^2-108*n-108)*a(n+1)+(-9*n^2-45*n-57)*a(n+2)+(-n^2-6*n-9)*a(n+3),a(0)=1,a(1)=-3,a(2)=9} ogf] A291910 4.75837 [-3*x^2*(7*x^5+165*x^4+660*x^3+680*x^2+165*x+3)/(x-1)^9 ogf] A291911 3.23664 [-36*x^2*(x+1)*(x^6+84*x^5+1055*x^4+2760*x^3+1055*x^2+84*x+1)/(x-1)^11 ogf] A291915 6.99449 [-2*x^3*(x^2-7*x-1)/(x^2+x-1)^4 ogf] A291915 9.26981 [-(6*x^3-47*x^2-27*x-11)/(x^4-6*x^3-9*x^2+6*x+1) lgdogf] A291916 8.66981 [-(2*x^4+4*x^3-3*x^2-6*x+4)/(x-1)/(x^2+x-1)^2 ogf] A291919 10.2119 [-(-16*x^3-9*x^2-6*x-9)/(-8*x^4+13*x^3-9*x^2+3*x+1) lgdogf] A291919 4.27233 [{(-137*n^2-2413*n-4278)*a(n+1)+(636*n^2+5082*n+1962)*a(n+2)+(-499*n^2-1221*n-446)*a(n+3),a(0)=0,a(1)=1,a(2)=9} ogf] A291919 9.20193 [-x*(8*x^3-5*x^2+4*x+1)/(x-1)^5 ogf] A291938 15.9478 [-(-12*x-2)/(-4*x^2+1) lgdogf] A291938 15.9478 [4*x/(2*x+1)/(2*x-1)^2 ogf] A291938 6.46534 [{-a(n+3)+2*a(n+2)+4*a(n+1)-8*a(n),a(0)=0,a(1)=4,a(2)=8} ogf] A291938 9.32016 [8*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+f(x)-4*x ogf] A291945 14.5868 [{a(n+1)-1111*a(n),a(0)=1} ogf] A291945 18.2335 [-1111*f(x)*x+f(x)-1 ogf] A291945 23.5963 [1111/(-1111*x+1) lgdogf] A291945 33.4281 [-1/(1111*x-1) ogf] A291946 12.9127 [{a(n+1)-11111*a(n),a(0)=1} ogf] A291946 16.0691 [-11111*f(x)*x+f(x)-1 ogf] A291946 28.9244 [-1/(11111*x-1) ogf] A291983 11.2507 [1/(x^2-x+1)/(x^2+1)/(x+1)^2 ogf] A291983 18.4867 [x^5+x^3-x^2-1 ogf_with_Euler_transform] A291984 17.8534 [x^7+x^5-x^2-1 ogf_with_Euler_transform] A291984 7.04896 [1/(x^2-x+1)/(x^2+1)/(x^4+1)/(x+1)^2 ogf] A291985 13.3398 [x^9+x^7+x^5-x^4-x^2-1 ogf_with_Euler_transform] A291985 5.10537 [1/(x^2+1)/(x^4-x^3+x^2-x+1)/(x^2-x+1)/(x^4+1)/(x+1)^3 ogf] A291986 12.6557 [-1/(x-1)/(2*x^2-1)/(3*x^3-1) ogf] A291987 7.84578 [1/(x-1)/(2*x^2+1)/(3*x^3-1)/(2*x^2-1)^2 ogf] A291988 5.56625 [-1/(x-1)/(2*x^2+1)/(3*x^3-1)/(5*x^5-1)/(2*x^2-1)^2 ogf] A292000 9.32530 [-(17*x^3+2*x^2+8*x+5)/(x-1)^5 ogf] A292000 9.54216 [-(34*x^3+57*x^2+36*x+33)/(17*x^4-15*x^3+6*x^2-3*x-5) lgdogf] A292001 4.06973 [{(-28*n^2-2521*n-7311)*a(n+1)+(640*n^2+7494*n+8762)*a(n+2)+(-612*n^2-2637*n-2403)*a(n+3),a(0)=3,a(1)=26,a(2)=93} ogf] A292001 9.09973 [-(25*x^3-7*x^2+11*x+3)/(x-1)^5 ogf] A292001 9.30892 [-(-50*x^3-54*x^2-30*x-26)/(-25*x^4+32*x^3-18*x^2+8*x+3) lgdogf] A292018 12.6683 [-(2*x^2+28*x+15)/(2*x^3+10*x^2-11*x-1) lgdogf] A292018 13.8943 [-(2*x^2+12*x+1)/(x-1)^3 ogf] A292018 7.00361 [(466425*f(x)-3431849)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+12*x+1) ogf] A292018 7.55653 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=44} ogf] A292022 12.3577 [12*(x^2+1)/(x-1)^4 ogf] A292022 12.9370 [-(-2*x^2-2*x-4)/(-x^3+x^2-x+1) lgdogf] A292022 28.3481 [[-x^3+x+4] ogf_with_Euler_transform] A292022 4.26786 [{(n+4)*a(n+4)+(-7-n)*a(n+3)+n*a(n+2)+(-n-3)*a(n+1),a(0)=12,a(1)=48,a(2)=132,a(3)=288} ogf] A292022 6.36896 [(49*f(x)+384)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-12*x^2+f(x)-12) ogf] A292026 3.7304 [-(134697157554*f(x)-402713647003)*(2048*f(x)*x^4-1856*f(x)*x^3+504*f(x)*x^2+2784*x^3-46*f(x)*x-1464*x^2+f(x)+210*x-6) ogf] A292026 7.14331 [-6*(464*x^3-244*x^2+35*x-1)/(4*x-1)/(2*x-1)/(8*x-1)/(32*x-1) ogf] A292027 10.5838 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2-x+1)/(x^9+x^8-x^6+x^4+x^3-x-1) ogf] A292029 6.57188 [1/2*I/x/(4*x-1)^(1/2)/(4*x+1)^(1/2)-1/2*(96*x^2+12*x-1)/(4*x-1)/(4*x+1)/x lgdogf] A292034 12.4794 [-(x-1)*(x+1)/(x^4-6*x^3+6*x^2-6*x+1) ogf] A292034 6.19204 [(10835*f(x)-798)*(f(x)*x^4-6*f(x)*x^3+6*f(x)*x^2-6*f(x)*x+x^2+f(x)-1) ogf] A292034 7.65243 [-(2*x^5-6*x^4-4*x^3+24*x^2-14*x+6)/(x^6-6*x^5+5*x^4-5*x^2+6*x-1) lgdogf] A292035 12.4677 [-(x-1)*(x+1)/(x^4-7*x^3+7*x^2-7*x+1) ogf] A292035 6.04779 [(503355*f(x)-26414)*(f(x)*x^4-7*f(x)*x^3+7*f(x)*x^2-7*f(x)*x+x^2+f(x)-1) ogf] A292035 7.64531 [-(2*x^5-7*x^4-4*x^3+28*x^2-16*x+7)/(x^6-7*x^5+6*x^4-6*x^2+7*x-1) lgdogf] A292037 12.6557 [-(-2*x^4-4*x^2+x-2)/(x^8-2*x^4+1) ogf_with_Euler_transform] A292038 9.89659 [-(-2*x^6+x^5-6*x^4-6*x^2+x-2)/(x^8-2*x^4+1) ogf_with_Euler_transform] A292044 15.7040 [-x*(2*x-1)/(4*x-1)^2 ogf] A292044 16.3584 [-(-8*x+6)/(-8*x^2+6*x-1) lgdogf] A292044 7.69806 [{a(n+3)-8*a(n+2)+16*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A292044 9.13025 [-f(x)*(16*f(x)*x^2-8*f(x)*x+2*x^2+f(x)-x) ogf] A292045 5.61513 [12*x*(4*x^4+49*x^3+104*x^2+49*x+4)/(x-1)^8 ogf] A292045 7.01892 [-(-16*x^4-261*x^3-771*x^2-551*x-81)/(-4*x^5-45*x^4-55*x^3+55*x^2+45*x+4) lgdogf] A292051 6.81253 [-x*(2*x^5+3*x^4+18*x^3+12*x^2+12*x+1)/(x+1)^3/(x-1)^5 ogf] A292053 11.7370 [-(-12*x^2-46*x-26)/(-3*x^3-5*x^2+5*x+3) lgdogf] A292053 3.91233 [{(9+3*n)*a(n+4)+(-16+5*n)*a(n+3)+(-51-5*n)*a(n+2)+(-12-3*n)*a(n+1),a(0)=0,a(1)=6,a(2)=52,a(3)=228} ogf] A292053 8.45568 [2*x*(3*x^2+8*x+3)/(x-1)^6 ogf] A292055 4.54666 [-(11978*f(x)+331473)*(24*f(x)*x^4-50*f(x)*x^3-10*x^4+35*f(x)*x^2+25*x^3-10*f(x)*x-5*x^2+f(x)-x) ogf] A292055 8.36169 [x*(10*x^3-25*x^2+5*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A292056 3.03489 [{(4608*n+768)*a(n+1)+(-1824*n+848)*a(n+2)+(192*n-136)*a(n+3)+(-6*n+5)*a(n+4),a(0)=12,a(1)=200,a(2)=2944,a(3)=43392} ogf] A292056 4.33556 [-(3825*f(x)+53546)*(3072*f(x)*x^4-1984*f(x)*x^3+432*f(x)*x^2-36*f(x)*x-928*x^2+f(x)+232*x-12) ogf] A292056 8.04428 [4*(232*x^2-58*x+3)/(16*x-1)/(12*x-1)/(4*x-1)^2 ogf] A292057 10.1766 [-2*x*(x+3)*(2*x+1)/(x-1)^5 ogf] A292057 12.9520 [-(-6*x^2-32*x-22)/(-2*x^3-5*x^2+4*x+3) lgdogf] A292057 4.27417 [{(9+3*n)*a(n+4)+(-14+4*n)*a(n+3)+(-37-5*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=0,a(1)=6,a(2)=44,a(3)=164} ogf] A292058 12.7596 [-(-3*x^2+6*x+27)/(-x^3+3*x^2+3*x-5) lgdogf] A292058 4.12622 [{(-15-5*n)*a(n+4)+(33+3*n)*a(n+3)+(3*n+9)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=10,a(2)=54,a(3)=168} ogf] A292058 9.87346 [2*x*(x^2-2*x-5)/(x-1)^5 ogf] A292059 7.77656 [-(7*x^4+10*x^3+24*x^2+6*x+1)/(x+1)^3/(x-1)^5 ogf] A292061 12.6053 [-(-5*x^2-20*x-10)/(-x^3-2*x^2+2*x+1) lgdogf] A292061 6.07264 [{(n^2+5*n+6)*a(n+1)+(-n^2+n)*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A292061 7.84860 [-6*x^3*(x^2+3*x+1)/(x-1)^7 ogf] A292074 4.66939 [(6*x^9-42*x^8+127*x^7-217*x^6+221*x^5-223*x^4+47*x^3-41*x^2+3*x-1)/(x-1)^7 ogf] A292119 5.60918 [{(-8*n^3-96*n^2-352*n-384)*a(n+1)+(6*n^2+46*n+78)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=10,a(2)=130} ogf] A292185 6.53819 [-(52*x^5-301*x^4+714*x^3-886*x^2+574*x-177)/(x-1)^6 ogf] A292209 4.06261 [(1716928489479*f(x)+755196450080)*(160*f(x)*x^3-188*f(x)*x^2+29*f(x)*x+320*x^2-f(x)-232*x+45) ogf] A292209 4.68013 [{a(n+3)-29*a(n+2)+188*a(n+1)-160*a(n),a(0)=45,a(1)=1073,a(2)=22977} ogf] A292209 8.23966 [-(320*x^2-232*x+45)/(x-1)/(20*x-1)/(8*x-1) ogf] A292220 10.5159 [f(x)^2*x-4*f(x)*x-f(x)+4*x+1 egf] A292220 3.87426 [{(-16*n^3-24*n^2-8*n)*a(n)+(-4*n^3-26*n^2-48*n-24)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=1,a(1)=1} ogf] A292220 9.74263 [(-1/2/(4*x+1)^(1/2)+1/2)/x/(4*x+1)^(1/2) lgdegf] A292221 4.84194 [{(-16*n^3-40*n^2-24*n)*a(n)+(-4*n^3-30*n^2-64*n-40)*a(n+1)+(-n^2-5*n-6)*a(n+2),a(0)=3,a(1)=-3} ogf] A292221 7.43583 [(-1/2*(32*x^2+24*x+3)/(1+4*x)^(3/2)+3/2)/(16*x^2+12*x+3)*(1+4*x)^(1/2)/x lgdegf] A292221 7.57103 [-4*f(x)^2*x^2-f(x)^2*x+16*f(x)*x^2+8*f(x)*x-16*x^2+f(x)-12*x-3 egf] A292275 6.75461 [-25*(32*x^9+24*x^8+20*x^7+16*x^6+12*x^5+10*x^4+8*x^3+6*x^2+5*x+4)/(10*x^10-1) ogf] A292277 10.8824 [-(-24*x^2+16*x+4)/(-8*x^3+8*x^2+4*x-1) lgdogf] A292277 15.9609 [2*x/(2*x+1)/(4*x^2-6*x+1) ogf] A292277 6.47062 [{-a(n+3)+4*a(n+2)+8*a(n+1)-8*a(n),a(0)=0,a(1)=2,a(2)=8} ogf] A292277 6.90616 [-(15*f(x)+4)*(8*f(x)*x^3-8*f(x)*x^2-4*f(x)*x+f(x)-2*x) ogf] A292278 11.8201 [-(x^2+2*x-1)/(x-1)/(x^2+4*x-1) ogf] A292278 6.38078 [(116*f(x)+3)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+x^2+f(x)+2*x-1) ogf] A292278 6.38079 [{-a(n+3)+5*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A292278 8.10145 [-(-x^4-4*x^3-8*x^2+8*x-3)/(-x^5-5*x^4+12*x^2-7*x+1) lgdogf] A292281 6.17606 [(x+1)*(x^4+11*x^3+24*x^2+11*x+1)/(x-1)^8 ogf] A292281 7.13441 [-(-3*x^5-53*x^4-223*x^3-315*x^2-154*x-20)/(-x^6-11*x^5-23*x^4+23*x^2+11*x+1) lgdogf] A292282 4.41491 [{(-6*n^2-42*n-72)*a(n+1)+(7*n^2+16*n+33)*a(n+2)+(-n^2-4*n-4)*a(n+3),a(0)=0,a(1)=24,a(2)=576} ogf] A292282 6.85072 [-24*x*(9*x^3+33*x^2+17*x+1)/(x-1)^7 ogf] A292282 8.92902 [-(36*x^3+192*x^2+168*x+24)/(9*x^4+24*x^3-16*x^2-16*x-1) lgdogf] A292290 12.4975 [3*x^2*(2*x-1)/(x-1)/(x^2-3*x+1) ogf] A292290 5.86420 [{a(n+4)-4*a(n+3)+4*a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=3,a(3)=6} ogf] A292290 8.56568 [-f(x)*x^3+4*f(x)*x^2+6*x^3-4*f(x)*x-3*x^2+f(x) ogf] A292290 9.29690 [-(4*x^3-11*x^2+8*x-2)/(2*x^4-9*x^3+12*x^2-6*x+1) lgdogf] A292291 12.1799 [-(3*x^2-8*x+4)/(x^3-4*x^2+4*x-1) lgdogf] A292291 17.3226 [-3*x^3/(x-1)/(x^2-3*x+1) ogf] A292291 6.04276 [{-a(n+4)+4*a(n+3)-4*a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=3} ogf] A292291 7.87389 [-f(x)*(f(x)*x^3-4*f(x)*x^2+3*x^3+4*f(x)*x-f(x)) ogf] A292292 7.76108 [-x^3*(10*x^2-9*x+1)/(x-1)/(x^2-8*x+1)/(x^2-3*x+1) ogf] A292293 9.26410 [3*x^4*(4*x-1)/(x-1)/(x^2-8*x+1)/(x^2-3*x+1) ogf] A292294 8.74944 [-3*x^4*(x+1)/(x-1)/(x^2-8*x+1)/(x^2-3*x+1) ogf] A292295 12.5226 [6*x^2*(2*x-1)/(x-1)/(2*x^2-4*x+1) ogf] A292295 5.92674 [{a(n+4)-5*a(n+3)+6*a(n+2)-2*a(n+1),a(0)=0,a(1)=0,a(2)=6,a(3)=18} ogf] A292295 6.93218 [(f(x)+6)*(2*f(x)*x^3-6*f(x)*x^2-12*x^3+5*f(x)*x+6*x^2-f(x)) ogf] A292295 9.24289 [-(8*x^3-18*x^2+12*x-3)/(4*x^4-14*x^3+16*x^2-7*x+1) lgdogf] A292296 11.7396 [-(6*x^2-12*x+5)/(2*x^3-6*x^2+5*x-1) lgdogf] A292296 16.9572 [-6*x^3/(x-1)/(2*x^2-4*x+1) ogf] A292296 5.91530 [{-a(n+4)+5*a(n+3)-6*a(n+2)+2*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A292296 7.70783 [-f(x)*(2*f(x)*x^3-6*f(x)*x^2+6*x^3+5*f(x)*x-f(x)) ogf] A292297 6.49102 [-6*x^3*(20*x^3-26*x^2+12*x-1)/(x-1)/(2*x^2-4*x+1)/(6*x^3-28*x^2+13*x-1) ogf] A292298 6.95132 [12*x^4*(12*x^2-9*x+2)/(x-1)/(2*x^2-4*x+1)/(6*x^3-28*x^2+13*x-1) ogf] A292299 7.08500 [-6*x^4*(6*x^2+2*x-3)/(x-1)/(2*x^2-4*x+1)/(6*x^3-28*x^2+13*x-1) ogf] A292301 13.5348 [x^9-x^4-x-1 ogf_with_Euler_transform] A292301 3.47697 [(5*f(x)-2)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-f(x)*x+x^2+f(x)-2*x+1) ogf] A292301 6.50042 [-(x-1)^2/(x^4-x^3+x^2-x+1) ogf] A292320 8.22694 [-(x^6-2*x^3+x^2+1)/(x^9+x^7-3*x^6-2*x^4+4*x^3+x-1) ogf] A292321 9.18045 [x*(x^3-x-1)/(x^9-3*x^6-x^5+4*x^3+x^2-1) ogf] A292322 6.12589 [-(x^6-x^4-2*x^3+x^2+x+1)/(x^9+x^7-3*x^6-x^5-2*x^4+4*x^3+x^2+x-1) ogf] A292323 6.48655 [-(x^6+x^4-2*x^3+x^2-x+1)/(x^3+x-1)/(x^6-2*x^3+x^2+1) ogf] A292324 8.62506 [-(x-1)*(x+1)*(x^2-x+1)*(x^3+x^2+x+2)/(x^4+x-1)^2 ogf] A292325 8.60274 [-(x-1)*(x^4+x^3+x^2+x+2)*(x^4+1)/(x^2-x+1)^2/(x^3+x^2-1)^2 ogf] A292326 3.89991 [{(-n-11)*a(n+1)+(-n-9)*a(n+2)+(-n-7)*a(n+3)+(n+5)*a(n+4),a(0)=3,a(1)=9,a(2)=25,a(3)=63} ogf] A292326 6.01614 [-(x^2+x+1)*(x^6+2*x^5+3*x^4-x^3-2*x^2-3*x+3)/(x^3+x^2+x-1)^3 ogf] A292327 10.8827 [-(x+2)*(2*x-1)/(x^2+2*x-1)^2 ogf] A292327 5.82098 [(3*f(x)-2)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+2*x^2+f(x)+3*x-2) ogf] A292327 9.38635 [-(-4*x^3-9*x^2-2*x+5)/(-2*x^4-7*x^3-2*x^2+7*x-2) lgdogf] A292328 7.45621 [-(3*x^4+9*x^3+x^2-9*x+3)/(x^2+2*x-1)^3 ogf] A292329 14.5823 [-x^2/(x^2+2*x-1)/(x^4+x^3-x^2-x+1) ogf] A292329 8.98674 [-(-6*x^5-15*x^4+12*x^2-3)/(-x^6-3*x^5+4*x^3-3*x+1) lgdogf] A292343 3.78406 [{(318*n^2+2671*n+5151)*a(n+1)+(-900*n^2-7006*n-13446)*a(n+2)+(582*n^2+3279*n+4599)*a(n+3),a(0)=108,a(1)=888,a(2)=3268} ogf] A292343 8.38189 [-4*(5*x^3-23*x^2+87*x+27)/(x-1)^5 ogf] A292343 8.56611 [-(-10*x^3+54*x^2-302*x-222)/(-5*x^4+28*x^3-110*x^2+60*x+27) lgdogf] A292344 12.2229 [-(-3*x^2-2*x+53)/(-3*x^3+5*x^2+15*x-17) lgdogf] A292344 12.9989 [4*(3*x^2-2*x-17)/(x-1)^3 ogf] A292344 6.88178 [(401*f(x)-42348)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-12*x^2-f(x)+8*x+68) ogf] A292344 6.99941 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=68,a(1)=212,a(2)=420} ogf] A292345 12.9395 [-(-x^2+2*x+11)/(-x^3+3*x^2+x-3) lgdogf] A292345 13.1416 [32*(x+1)*(x-3)/(x-1)^3 ogf] A292345 7.12767 [(43*f(x)-7728)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-32*x^2-f(x)+64*x+96) ogf] A292345 7.18859 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=96,a(1)=352,a(2)=736} ogf] A292346 10.8501 [-(-21*x^2+26*x+187)/(-21*x^3+55*x^2+17*x-51) lgdogf] A292346 11.8365 [4*(21*x^2-34*x-51)/(x-1)^3 ogf] A292346 6.30006 [(1501*f(x)-656604)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-84*x^2-f(x)+136*x+204) ogf] A292346 6.56476 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=204,a(1)=748,a(2)=1548} ogf] A292347 10.2595 [8*x/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2))^2 lgdegf] A292350 3.91475 [{(-359*n^2-2670*n-4936)*a(n+1)+(-362*n^2-6972*n-19486)*a(n+2)+(721*n^2+3162*n+3440)*a(n+3),a(0)=0,a(1)=9,a(2)=116} ogf] A292350 6.99062 [-x*(11*x^3+47*x^2+53*x+9)/(x-1)^7 ogf] A292350 8.69944 [-(44*x^3+268*x^2+412*x+116)/(11*x^4+36*x^3+6*x^2-44*x-9) lgdogf] A292360 5.45269 [-x*(4*x^6-14*x^5+18*x^4-18*x^3+33*x^2-14*x-1)/(x-1)^2/(x+1)^2/(x^2-3*x+1)^2 ogf] A292386 22.9840 [1/(x^3-3*x^2+3*x-1) ogf_with_Euler_transform] A292387 19.7397 [1/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A292397 5.28270 [-(x^2+x+1)*(x^4+x^3-2*x+1)/(x^9+3*x^8+7*x^7+6*x^6+2*x^5-7*x^4-3*x^3-x^2+4*x-1) ogf] A292398 7.21169 [-(x^4+x^3-x^2-x+1)/(x^6+4*x^5+x^4-6*x^3-x^2+4*x-1) ogf] A292399 11.3005 [-(x+1)*(3*x^2+3*x-2)/(2*x^2+2*x-1)^2 ogf] A292399 5.95218 [-(19352*f(x)-21317)*(4*f(x)*x^4+8*f(x)*x^3+3*x^3-4*f(x)*x+6*x^2+f(x)+x-2) ogf] A292399 7.79735 [-(6*x^4+18*x^3+15*x^2-2*x-7)/(6*x^5+18*x^4+11*x^3-8*x^2-5*x+2) lgdogf] A292400 10.0582 [-(x+1)*(x^2+3*x-2)/(x^2+2*x-1)^2 ogf] A292400 5.26856 [-(1784*f(x)-1133)*(f(x)*x^4+4*f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x+4*x^2+f(x)+x-2) ogf] A292400 8.06749 [-(x^4+6*x^3+6*x^2+2*x-7)/(x^5+6*x^4+8*x^3-4*x^2-5*x+2) lgdogf] A292401 8.23372 [-(x^2+1)*(x^3+2*x^2+x-2)/(x^3+x^2+x-1)^2 ogf] A292402 11.4947 [-x*(x+1)^2*(x^2-x+1)^2/(x^4+x+1)/(x^4+x-1) ogf] A292403 11.5754 [-x*(x+1)^2*(x^4-x^3+x^2-x+1)^2/(x^6+x-1)/(x^6+x+1) ogf] A292404 7.21755 [-x^3*(x+1)^4*(x^2-x+1)^4/(x^4+x+1)/(x^8+2*x^5+x^2+1)/(x^4+x-1) ogf] A292412 12.7124 [(x^3-x^2+x+1)/(x^2+x-1)/(x^2-x-1) ogf] A292412 7.79537 [-(7*f(x)+11)*(f(x)*x^4-3*f(x)*x^2-x^3+x^2+f(x)-x-1) ogf] A292423 10.4896 [-f(x)*x^2-82*f(x)*x+f(x)-x ogf] A292423 12.5876 [-(-2*x-82)/(-x^2-82*x+1) lgdogf] A292423 16.5626 [-x/(x^2+82*x-1) ogf] A292423 7.67534 [{-a(n+2)+82*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A292440 10.8954 [-f(x)^2-f(x)*x-x^2+f(x) ogf] A292440 4.52695 [{(3*n-3)*a(n)+(2*n+1)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=-1,a(2)=-1} ogf] A292440 9.73980 [1/x-I/(x+1)^(1/2)/x/(3*x-1)^(1/2) lgdogf] A292443 5.21159 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=3240} ogf] A292443 5.39286 [(162*f(x)+5)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+10*x^2-f(x)+10*x) ogf] A292443 7.56316 [-(-2*x^3+320*x^2+646*x-324)/(-x^4+322*x^3-322*x+1) lgdogf] A292443 9.84411 [-10*x*(x+1)/(x-1)/(x^2-322*x+1) ogf] A292460 9.76707 [-f(x)^2*x^3-f(x)*x^2-f(x)*x+f(x)-1 ogf] A292461 8.99102 [f(x)*x^2+x^3+f(x)^2+f(x)*x-f(x) ogf] A292465 10.5569 [-x*(2*x^3-2*x^2-1)/(x+1)^2/(x^2-3*x+1)^2 ogf] A292465 7.81214 [-(-6*x^5+12*x^4-12*x^3+12*x^2-12*x-4)/(-2*x^6+6*x^5-5*x^3-2*x+1) lgdogf] A292478 7.60587 [(x^4-2*x^3+4*x^2-2*x+1)/(x^6-4*x^5+8*x^4-11*x^3+8*x^2-4*x+1) ogf] A292479 8.27542 [(x+1)^2*x/(x^3-4*x^2+2*x-1)/(x^3-2*x^2+4*x-1) ogf] A292480 11.2782 [-(x+1)^2*x/(3*x-1)/(2*x^2-x+1) ogf] A292480 5.55367 [{a(n+4)-4*a(n+3)+5*a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=20} ogf] A292480 6.16038 [-(4*f(x)-9)*(6*f(x)*x^3-5*f(x)*x^2+x^3+4*f(x)*x+2*x^2-f(x)+x) ogf] A292480 8.94005 [-(6*x^3+18*x^2-14*x+6)/(6*x^4+x^3-x^2+3*x-1) lgdogf] A292481 8.03242 [-x^2*(x+1)^3/(3*x-1)/(3*x^4-3*x^3+6*x^2-3*x+1) ogf] A292482 11.9108 [(x+1)*(x^2-5*x+2)/(3*x-1)^2 ogf] A292482 6.20988 [{a(n+4)-6*a(n+3)+9*a(n+2),a(0)=2,a(1)=9,a(2)=32,a(3)=112} ogf] A292482 6.8543 [-(27*f(x)+4)*(9*f(x)*x^2-x^3-6*f(x)*x+4*x^2+f(x)+3*x-2) ogf] A292482 8.86044 [-(3*x^3-3*x^2+17*x-9)/(-3*x^4+13*x^3+5*x^2-9*x+2) lgdogf] A292483 8.63946 [-(x+1)*(x^4-7*x^3+22*x^2-15*x+3)/(3*x-1)^3 ogf] A292484 11.4018 [(x+1)*(3*x-1)/(x^4-7*x^3+4*x^2-3*x+1) ogf] A292484 5.65987 [-(6875*f(x)+1138)*(f(x)*x^4-7*f(x)*x^3+4*f(x)*x^2-3*f(x)*x-3*x^2+f(x)-2*x+1) ogf] A292485 5.24474 [-(55*f(x)+14)*(2*f(x)*x^4+7*f(x)*x^3-5*f(x)*x^2+3*x^3+5*f(x)*x+3*x^2-f(x)+x+1) ogf] A292485 9.74025 [-(x+1)*(3*x^2+1)/(2*x^2-x+1)/(x^2+4*x-1) ogf] A292486 5.08041 [(2757*f(x)+554)*(3*f(x)*x^4+9*f(x)*x^3-4*f(x)*x^2+4*x^3+5*f(x)*x+5*x^2-f(x)+2*x+1) ogf] A292486 9.36905 [-(x+1)*(4*x^2+x+1)/(3*x^4+9*x^3-4*x^2+5*x-1) ogf] A292487 5.10218 [-(1187*f(x)+189)*(4*f(x)*x^4+11*f(x)*x^3-3*f(x)*x^2+5*x^3+5*f(x)*x+7*x^2-f(x)+3*x+1) ogf] A292487 9.61564 [-(x+1)*(5*x^2+2*x+1)/(4*x^4+11*x^3-3*x^2+5*x-1) ogf] A292488 4.88962 [(2443*f(x)+304)*(5*f(x)*x^4+13*f(x)*x^3-2*f(x)*x^2+6*x^3+5*f(x)*x+9*x^2-f(x)+4*x+1) ogf] A292488 8.96428 [-(x+1)*(6*x^2+3*x+1)/(5*x^4+13*x^3-2*x^2+5*x-1) ogf] A292489 4.98631 [(1317*f(x)+124)*(6*f(x)*x^4+15*f(x)*x^3-f(x)*x^2+7*x^3+5*f(x)*x+11*x^2-f(x)+5*x+1) ogf] A292489 9.08895 [-(x+1)*(7*x^2+4*x+1)/(2*x^2+5*x-1)/(3*x^2+1) ogf] A292490 10.4222 [-(x+1)*(8*x^2+5*x+1)/(7*x^4+17*x^3+5*x-1) ogf] A292490 5.82659 [(14405*f(x)+966)*(7*f(x)*x^4+17*f(x)*x^3+8*x^3+5*f(x)*x+13*x^2-f(x)+6*x+1) ogf] A292491 11.2731 [-(x+1)*(x^2+4*x-1)/(3*x-1)/(3*x^2+1) ogf] A292491 5.89277 [{a(n+4)-3*a(n+3)+3*a(n+2)-9*a(n+1),a(0)=-1,a(1)=0,a(2)=8,a(3)=16} ogf] A292491 6.27295 [-(f(x)+10)*(9*f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x+5*x^2-f(x)+3*x-1) ogf] A292491 7.33817 [-(-48*x^4-48*x^3+48*x^2-16*x)/(-9*x^6-42*x^5-15*x^4+4*x^3-7*x^2+6*x-1) lgdogf] A292492 8.29419 [-(x+1)*(x^4-x^3+8*x^2-5*x+1)/(3*x-1)/(2*x^4-2*x^3+7*x^2-4*x+1) ogf] A292493 5.0792 [(114879*f(x)+9160)*(f(x)*x^4+11*f(x)*x^3-2*f(x)*x^2+2*x^3+3*f(x)*x+7*x^2-f(x)+4*x-1) ogf] A292493 9.50723 [-(x+1)*(2*x^2+5*x-1)/(x^4+11*x^3-2*x^2+3*x-1) ogf] A292494 6.99488 [-(x+1)*(3*x^4-3*x^3+6*x^2-3*x+1)/(2*x^6+6*x^5-12*x^4+23*x^3-17*x^2+7*x-1) ogf] A292510 10.0180 [-(2*x^3-4*x^2+2*x-7)/(-x^4+2*x^3-4*x^2-x+4) lgdogf] A292510 15.1216 [-(x^3-x^2+3*x+4)/(x-1) ogf] A292510 8.34838 [{a(n+4)-a(n+3),a(0)=4,a(1)=7,a(2)=6,a(3)=7} ogf] A292510 8.80707 [-(146*f(x)+339)*(x^3+f(x)*x-x^2-f(x)+3*x+4) ogf] A292521 11.1736 [-(3*x^3-x^2+2)/(x^2-x+1)/(x^2-x-1) ogf] A292521 6.58954 [(19*f(x)-34)*(f(x)*x^4-2*f(x)*x^3+f(x)*x^2+3*x^3-x^2-f(x)+2) ogf] A292532 5.60045 [-x^2*(x+1)^3/(x^3-2*x^2+4*x-1)/(x^6-7*x^5+18*x^4-18*x^3+14*x^2-5*x+1) ogf] A292533 7.05678 [-(x+1)*(2*x^3-5*x^2+7*x-2)/(x^3-2*x^2+4*x-1)^2 ogf] A292534 7.18789 [(x+1)*(x^3-2*x^2+4*x-1)/(x^6-7*x^5+16*x^4-22*x^3+12*x^2-5*x+1) ogf] A292535 7.40486 [-(x+1)*(x^3-5*x^2+x-1)/(x^3-x^2+5*x-1)/(x^3-4*x^2+2*x-1) ogf] A292536 6.75337 [-(x+1)*(x^3-6*x^2-1)/(x^6-5*x^5+10*x^4-26*x^3+14*x^2-7*x+1) ogf] A292537 13.3478 [-(4*x^2+21*x-16)/(4*x-1)/(x-1) ogf] A292537 6.92575 [{a(n+3)-5*a(n+2)+4*a(n+1),a(0)=16,a(1)=59,a(2)=227} ogf] A292537 7.12748 [-(159*f(x)+937)*(4*f(x)*x^2-5*f(x)*x+4*x^2+f(x)+21*x-16) ogf] A292537 8.73964 [-(104*x^2-136*x+59)/(16*x^4+64*x^3-165*x^2+101*x-16) lgdogf] A292540 10.4944 [{a(n+2)-4*a(n+1),a(0)=4,a(1)=20} ogf] A292540 17.0243 [-4*f(x)*x+f(x)-4*x-4 ogf] A292540 20.7052 [-4*(x+1)/(4*x-1) ogf] A292540 21.2804 [-5/(4*x^2+3*x-1) lgdogf] A292542 15.8212 [-4*f(x)*x+f(x)-27*x-3 ogf] A292542 19.1519 [13/(-36*x^2+5*x+1) lgdogf] A292542 19.1519 [-3*(1+9*x)/(4*x-1) ogf] A292542 9.96949 [{a(n+2)-4*a(n+1),a(0)=3,a(1)=39} ogf] A292543 10.4611 [{-a(n+2)+4*a(n+1),a(0)=0,a(1)=96} ogf] A292543 12.5533 [-f(x)*(4*f(x)*x-f(x)+96*x) ogf] A292543 25.1066 [-96*x/(4*x-1) ogf] A292543 26.8999 [4/(-4*x+1) lgdogf] A292545 11.881 [f(x)*(4*f(x)*x+4*x^2-f(x)+218*x) ogf] A292545 17.9597 [-2*x*(2*x+109)/(4*x-1) ogf] A292545 18.3873 [-438/(8*x^2+434*x-109) lgdogf] A292545 8.87662 [{-a(n+3)+4*a(n+2),a(0)=0,a(1)=218,a(2)=876} ogf] A292548 8.38617 [1/2*I/x/(2*x+1)^(1/2)/(2*x-1)^(1/2)-1/2*(4*x-1)/(2*x-1)/x ogf_with_Euler_transform] A292549 7.31143 [1/2*I/(-1+2*x)^(1/2)/x^2/(2*x+1)^(1/2)-1/2*(4*x^2+2*x-1)/(-1+2*x)/x^2 ogf_with_Euler_transform] A292551 7.93325 [-x*(x^4-7*x^3-x^2+2*x-1)/(x+1)^3/(x-1)^4 ogf] A292551 8.45714 [-(-3*x^5+27*x^4+8*x^3+10*x^2+7*x-1)/(-x^6+7*x^5+2*x^4-9*x^3+2*x-1) lgdogf] A292552 13.8809 [-2*(40*x-49)/(10*x-1)/(x-1) ogf] A292552 7.08506 [(4509*f(x)+56120)*(10*f(x)*x^2-11*f(x)*x+f(x)+80*x-98) ogf] A292552 7.81800 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=98,a(1)=998} ogf] A292552 8.83332 [-(-400*x^2+980*x-499)/(-400*x^3+930*x^2-579*x+49) lgdogf] A292563 11.0733 [(x^2-x+1)*(x^6-x^3+1)*(x^18-x^9+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A292563 13.4725 [-(-54*x^28+54*x^26+2)/(x^2-1) lgdogf] A292576 10.9883 [(2*x^3+x^2-2*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A292612 13.3040 [(3*x^2-11*x+4)/(x+1)/(x^2-3*x+1) ogf] A292612 6.76103 [-(1879*f(x)-2291)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-3*x^2+f(x)+11*x-4) ogf] A292612 7.36470 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=4,a(1)=-3,a(2)=5} ogf] A292612 8.00821 [-(-3*x^4+22*x^3-40*x^2+22*x-3)/(-3*x^5+17*x^4-20*x^3-17*x^2+19*x-4) lgdogf] A292616 13.3367 [-(3*x^3+6*x^2-3*x-4)/(x^2+x-1)/(x^2-x-1) ogf] A292616 8.10174 [-(11*f(x)-17)*(f(x)*x^4-3*f(x)*x^2+3*x^3+6*x^2+f(x)-3*x-4) ogf] A292653 7.48147 [(3*x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+2*x^2+3*x+2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A292664 5.66477 [(x^12+2*x^11+3*x^10+2*x^9+3*x^8+2*x^7+3*x^6+3*x^5+2*x^4+3*x^3+2*x^2+3*x+2)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A292665 5.59577 [(2*x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A292666 8.77578 [(x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A292668 8.10145 [4*(-4*x+3*(1-4*x)^(1/2)+1)/(1-4*x)^(1/2)/(1+(1-4*x)^(1/2))^3 ogf_with_Euler_transform] A292696 13.7923 [-(6*x^2-8*x+1)/(x+1)/(x^2-3*x+1) ogf] A292696 7.44537 [(65*f(x)-23)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+6*x^2+f(x)-8*x+1) ogf] A292696 7.51186 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=-1,a(1)=6,a(2)=4} ogf] A292696 8.24831 [-(6*x^4-16*x^3+31*x^2-16*x+6)/(6*x^5-20*x^4+5*x^3+20*x^2-10*x+1) lgdogf] A292730 4.51640 [x*(1099900*x^20-12197679*x^19-90000*x^11+11200000*x^10-10000*x+1232100)/(x^20+1110*x^19+1111*x^10-100*x+12321)/(x-1)^2 ogf] A292740 13.0813 [-(2*x^26-2*x^25+x-2)/(x-1)^2 ogf] A292751 16.7012 [-x^4+x^3-x^2+x revegf] A292752 11.1020 [(15*x^3-47*x^2+14*x-1)/(x-1)/(9*x-1)/(5*x-1) ogf] A292752 6.12242 [{-a(n+4)+15*a(n+3)-59*a(n+2)+45*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=16} ogf] A292752 6.35611 [-(43*f(x)-64)*(45*f(x)*x^3-59*f(x)*x^2-15*x^3+15*f(x)*x+47*x^2-f(x)-14*x+1) ogf] A292752 6.60833 [-(1230*x^4-810*x^3+211*x^2-24*x+1)/(-675*x^6+3000*x^5-3628*x^4+1591*x^3-316*x^2+29*x-1) lgdogf] A292833 12.9309 [-(697*x^2+694*x+1)/(x-1)/(x+1)^2 ogf] A292833 6.27248 [(83198449*f(x)+2479360010910)*(f(x)*x^3+f(x)*x^2-f(x)*x+697*x^2-f(x)+694*x+1) ogf] A292833 7.37290 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=693,a(2)=5} ogf] A292833 8.75532 [-(-697*x^3-691*x^2-703*x-693)/(-697*x^4-694*x^3+696*x^2+694*x+1) lgdogf] A292837 23.8723 [10/(-10*x+1) ogf_with_Euler_transform] A292838 13.7033 [-(4*x-4)/(16*x^3-4*x^2-4*x+1) ogf_with_Euler_transform] A292839 13.8524 [-(5*x-5)/(25*x^3-5*x^2-5*x+1) ogf_with_Euler_transform] A292840 13.5876 [-(6*x-6)/(36*x^3-6*x^2-6*x+1) ogf_with_Euler_transform] A292841 13.0370 [-(7*x-7)/(49*x^3-7*x^2-7*x+1) ogf_with_Euler_transform] A292842 12.5957 [-(8*x-8)/(64*x^3-8*x^2-8*x+1) ogf_with_Euler_transform] A292843 12.8683 [-(9*x-9)/(81*x^3-9*x^2-9*x+1) ogf_with_Euler_transform] A292844 12.2269 [-(10*x-10)/(100*x^3-10*x^2-10*x+1) ogf_with_Euler_transform] A292878 10.2995 [-(-4*x^4-4*x^3+3*x^2-2*x-5)/(-4*x^5-9*x^3-x^2-3*x+1) lgdogf] A292878 14.8583 [-(2*x^2+x+1)/(2*x^3-x^2+4*x-1) ogf] A292878 7.61647 [-(131*f(x)+130)*(2*f(x)*x^3-f(x)*x^2+4*f(x)*x+2*x^2-f(x)+x+1) ogf] A292878 8.02087 [{-a(n+3)+4*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=5,a(2)=21} ogf] A292880 7.24185 [-(-6*x^5+52*x^4-43*x^3-498*x^2-313*x-32)/(6*x^5-28*x^4-43*x^3+42*x^2+22*x+1) lgdegf] A292893 7.40341 [(1/(x+1)*exp(-x)-1)*(exp(x)*x+exp(x)) lgdegf] A292897 10.9888 [-(x^3+x^2+6*x+7)/(x^3+2*x-3) lgdegf] A292935 23.2679 [-exp(-x) lgdegf] A292952 15.5823 [-exp(x)*x-exp(x) lgdegf] A292988 5.00034 [-(121*x^59+121*x^58+118*x^57+16*x^56-64*x^55+363*x^3+363*x^2+363*x+242)/(x^59+33*x^58+33*x^57-88*x^56+32*x^55-121*x^5+121*x^4+121*x-121) ogf] A292998 3.68485 [{(-n^2-7*n-12)*a(n+1)+(n^2+11*n+28)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=10,a(2)=87} ogf] A292998 8.51500 [-(x^3-8*x^2+17*x+10)/(-x^3+5*x^2-3*x-1) lgdegf] A293003 16.7369 [x/(x^4+x^3-x-1) ogf_with_Euler_transform] A293004 11.6434 [-(-3*x^2-2*x+3)/(-x^3-x^2+3*x-1) lgdogf] A293004 16.5595 [2*x^2/(x-1)/(x^2+2*x-1) ogf] A293004 6.77433 [{-a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A293004 6.96425 [-(f(x)-2)*(f(x)*x^3+f(x)*x^2-3*f(x)*x-2*x^2+f(x)) ogf] A293005 10.3826 [-(-4*x^3-6*x^2+4)/(-2*x^4-2*x^3+3*x^2+2*x-1) lgdogf] A293005 16.1036 [x*(x+1)/(x-1)/(2*x^2+2*x-1) ogf] A293005 8.48471 [{-a(n+3)+3*a(n+2)-2*a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A293005 9.7417 [f(x)*(2*f(x)*x^3-3*f(x)*x-x^2+f(x)-x) ogf] A293006 10.1588 [-(-4*x^3-6*x^2+4)/(-2*x^4-2*x^3+3*x^2+2*x-1) lgdogf] A293006 14.5674 [2*x^2*(x+1)/(x-1)/(2*x^2+2*x-1) ogf] A293006 6.89350 [{a(n+4)-3*a(n+3)+2*a(n+1),a(0)=0,a(1)=0,a(2)=2,a(3)=8} ogf] A293006 9.0832 [f(x)*(2*f(x)*x^3-2*x^3-3*f(x)*x-2*x^2+f(x)) ogf] A293007 15.3762 [-(-4*x-2)/(-2*x^2-2*x+1) lgdogf] A293007 19.9476 [-2*x^2/(2*x^2+2*x-1) ogf] A293007 7.38060 [{-a(n+3)+2*a(n+2)+2*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A293007 9.11185 [-f(x)*(2*f(x)*x^2+2*f(x)*x+2*x^2-f(x)) ogf] A293014 11.2481 [-x^4/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293014 5.86437 [f(x)*x^5+f(x)*x^4-f(x)*x^3+x^4+f(x)*x^2+f(x)*x-f(x) ogf] A293025 10.9987 [-1/2*x^2-1/6*x^3-1/24*x^4-x-1+exp(x) lgdegf] A293037 24.9542 [1-exp(x) lgdegf] A293038 21.1140 [x+1-exp(x) lgdegf] A293039 15.7522 [1/2*x^2+x+1-exp(x) lgdegf] A293040 12.3869 [1/2*x^2+1/6*x^3+x+1-exp(x) lgdegf] A293046 8.56342 [x^2*(x^3-3*x^2+x-1)/(2*x-1)/(x-1)^2/(x+1)^2 ogf] A293047 8.00852 [-(6*x^4-18*x^3+38*x^2-14*x-4)/(2*x^5-5*x^4+6*x^3+2*x^2-8*x+3) lgdogf] A293047 9.32756 [-x^3*(x^2-2*x+3)/(2*x-1)/(x-1)^2/(x+1)^2 ogf] A293049 12.5849 [-(2*x^3-3*x^2)/(x^2-2*x+1) lgdegf] A293049 3.38825 [{(n+5)*a(n+5)+(-2*n-8)*a(n+4)+(n+3)*a(n+3)-3*a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=1,a(4)=1} egf] A293050 12.0882 [-(3*x^4-4*x^3)/(x^2-2*x+1) lgdegf] A293050 4.17863 [-1/3*(x^12-9*x^9+9*x^8+36*x^6-72*x^5+36*x^4-60*x^3+180*x^2-180*x+60)/(x-1)/(x^8+8*x^5-8*x^4+20*x^2-40*x+20) egf] A293064 12.2925 [-(3*x^2-8*x+4)/(x^3-4*x^2+4*x-1) lgdogf] A293064 17.4827 [-x^3/(x-1)/(x^2-3*x+1) ogf] A293064 6.09863 [{-a(n+4)+4*a(n+3)-4*a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A293064 9.71262 [-f(x)*x^3+4*f(x)*x^2-x^3-4*f(x)*x+f(x) ogf] A293065 11.6044 [-x^3*(2*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A293065 3.83111 [{(n-1)*a(n)+(-4*n+5)*a(n+1)+(4*n-7)*a(n+2)+(-n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=3,a(5)=7} ogf] A293065 7.48318 [f(x)*x^4-5*f(x)*x^3+2*x^4+8*f(x)*x^2-x^3-5*f(x)*x+f(x) ogf] A293065 9.64700 [-(6*x^3-18*x^2+13*x-3)/(2*x^4-9*x^3+12*x^2-6*x+1) lgdogf] A293066 11.4466 [-(x^2+2*x-1)/(x^2-3*x+1)/(x-1)^2 ogf] A293066 3.98898 [{(n+3)*a(n+1)+(-4*n-11)*a(n+2)+(4*n+9)*a(n+3)+(-n-2)*a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=11} ogf] A293066 5.8505 [-(79*f(x)-32)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2-5*f(x)*x+x^2+f(x)+2*x-1) ogf] A293066 7.97796 [-(-2*x^4-3*x^3+21*x^2-15*x+3)/(-x^5+2*x^4+5*x^3-11*x^2+6*x-1) lgdogf] A293067 12.0724 [2*x^2*(2*x-1)/(x-1)/(2*x^2-4*x+1) ogf] A293067 5.66474 [{a(n+4)-5*a(n+3)+6*a(n+2)-2*a(n+1),a(0)=0,a(1)=0,a(2)=2,a(3)=6} ogf] A293067 6.63439 [(f(x)+2)*(2*f(x)*x^3-6*f(x)*x^2-4*x^3+5*f(x)*x+2*x^2-f(x)) ogf] A293067 8.76686 [-(8*x^3-18*x^2+12*x-3)/(4*x^4-14*x^3+16*x^2-7*x+1) lgdogf] A293068 7.91754 [-2*x^3*(28*x^2-18*x+3)/(2*x-1)/(7*x^2-6*x+1)/(2*x^2-4*x+1) ogf] A293069 6.89213 [2*x^4*(14*x^2-17*x+4)/(2*x-1)/(x-1)/(7*x^2-6*x+1)/(2*x^2-4*x+1) ogf] A293070 12.2050 [-(4*x-1)*(x-1)/(7*x^2-6*x+1)/(2*x-1) ogf] A293070 6.46144 [-(29*f(x)+16)*(14*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+4*x^2-f(x)-5*x+1) ogf] A293070 6.74484 [{a(n+3)-8*a(n+2)+19*a(n+1)-14*a(n),a(0)=1,a(1)=3,a(2)=9} ogf] A293070 7.05424 [-(-56*x^4+140*x^3-105*x^2+30*x-3)/(-56*x^5+146*x^4-141*x^3+63*x^2-13*x+1) lgdogf] A293073 6.58880 [-(-16*x^4+16*x^3-4*x^2+12*x-7)/(-16*x^4+24*x^3-8*x^2-2*x+1) lgdegf] A293110 8.73953 [x*exp(1/2*x*(x+2))+exp(1/2*x*(x+2)) egf]_with_Euler_transform] A293116 21.1646 [1/(-x^2+2*x-1) lgdegf] A293116 5.73954 [{(-n^2-n)*a(n)+(2*n+1)*a(n+1)-a(n+2),a(0)=1,a(1)=-1} ogf] A293117 13.3861 [-(-x^2+2*x)/(x^2-2*x+1) lgdegf] A293117 3.55142 [{(-n^2-5*n-6)*a(n+1)+(n^2+7*n+12)*a(n+2)+(-2*n-6)*a(n+3)+a(n+4),a(0)=1,a(1)=0,a(2)=-2,a(3)=-6} ogf] A293118 12.5979 [-(-2*x^3+3*x^2)/(x^2-2*x+1) lgdegf] A293118 3.39175 [{(n+5)*a(n+5)+(-2*n-8)*a(n+4)+(n+3)*a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=-1,a(4)=-1} egf] A293120 12.2366 [-(x^2+2*x)/(-x^2-2*x-1) lgdegf] A293120 3.33144 [{(-n^2-5*n-6)*a(n+1)+(n^2+3*n)*a(n+2)+(2*n+6)*a(n+3)+a(n+4),a(0)=1,a(1)=0,a(2)=2,a(3)=-6} ogf] A293121 12.5979 [-(-2*x^3-3*x^2)/(x^2+2*x+1) lgdegf] A293121 3.39175 [{(-n-5)*a(n+5)+(-2*n-8)*a(n+4)+(-n-3)*a(n+3)+3*a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=1,a(4)=-1} egf] A293122 13.3861 [-(-x^2-2*x)/(-x^2-2*x-1) lgdegf] A293122 3.55142 [{(-n^2-5*n-6)*a(n+1)+(-n^2-7*n-12)*a(n+2)+(-2*n-6)*a(n+3)-a(n+4),a(0)=1,a(1)=0,a(2)=-2,a(3)=6} ogf] A293123 12.5849 [-(2*x^3+3*x^2)/(x^2+2*x+1) lgdegf] A293123 3.38825 [{(-n-5)*a(n+5)+(-2*n-8)*a(n+4)+(-n-3)*a(n+3)-3*a(n+2)-2*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=-1,a(4)=1} egf] A293125 18.1826 [-1/(x^2+2*x+1) lgdegf] A293125 5.54722 [{(-n^2-n)*a(n)+(-2*n-3)*a(n+1)-a(n+2),a(0)=1,a(1)=-1} ogf] A293126 10.7385 [-3*(6*x^2-8*x+1)/(4*x^3-18*x^2+12*x-1) ogf] A293126 5.96585 [{-a(n+3)+12*a(n+2)-18*a(n+1)+4*a(n),a(0)=3,a(1)=12,a(2)=108} ogf] A293126 6.01729 [(29*f(x)+9)*(4*f(x)*x^3-18*f(x)*x^2+12*f(x)*x+18*x^2-f(x)-24*x+3) ogf] A293126 6.46301 [-(-24*x^4+64*x^3-84*x^2+24*x-4)/(-24*x^5+140*x^4-220*x^3+120*x^2-20*x+1) lgdogf] A293132 16.6122 [-(-2*x^6+2*x^5-2*x^4-x^3-2*x^2+2*x-2)/(x^8-1) ogf_with_Euler_transform] A293132 99.9999 Evaluated at exp(-Pi) 1/9*2^(45/64)*3^(19/32)*(Pi*3^(1/2)/GAMMA(2/3))^(45/32)*(Pi*2^(1/2)*(2+2^(1/2))^(1/2)/GAMMA(7/8))^(1/2)*(Pi*2^(1/2)*(1+3^(1/2))/GAMMA(11/12))^(45/32)*(Pi*2^(1/2)*(3^(1/2)-1)/GAMMA(7/12))^(45/32)/Pi^(13/128)/exp(Pi)^(1/12)/(Pi*2^(1/2)/GAMMA(3/4))^(53/16)/(Pi/GAMMA(5/6))^(45/64)/(Pi*2^(1/2)*(2-2^(1/2))^(1/2)/GAMMA(5/8))^(1/2) A293143 5.16764 [(263*f(x)+964)*(24*f(x)*x^3-35*f(x)*x^2+12*f(x)*x+44*x^2-f(x)-32*x+4) ogf] A293143 5.30014 [{-a(n+3)+12*a(n+2)-35*a(n+1)+24*a(n),a(0)=4,a(1)=16,a(2)=96} ogf] A293143 9.39570 [-4*(11*x^2-8*x+1)/(x-1)/(3*x-1)/(8*x-1) ogf] A293144 3.6279 [(1756119*f(x)+9394232)*(480*f(x)*x^4-724*f(x)*x^3+275*f(x)*x^2+1248*x^3-32*f(x)*x-1048*x^2+f(x)+192*x-8) ogf] A293144 6.46711 [-8*(156*x^3-131*x^2+24*x-1)/(x-1)/(3*x-1)/(20*x-1)/(8*x-1) ogf] A293156 14.5871 [(5*x^3+9*x^2+9*x-15)/(3*x-1) ogf] A293156 7.79907 [{a(n+4)-3*a(n+3),a(0)=15,a(1)=36,a(2)=99,a(3)=292} ogf] A293156 8.03781 [-(257905*f(x)-547494)*(-5*x^3+3*f(x)*x-9*x^2-f(x)-9*x+15) ogf] A293156 8.85063 [-(30*x^3+12*x^2-18*x+36)/(-15*x^4-22*x^3-18*x^2+54*x-15) lgdogf] A293169 7.52894 [(x-1)^5/(x^7-x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) ogf] A293193 4.54774 [f(x)^3*x^4-2*f(x)^2*x^4+11*f(x)^3*x^2+f(x)*x^4-22*f(x)^2*x^2-f(x)^3+16*f(x)*x^2+2*f(x)^2-4*x^2-f(x) egf] A293239 6.81046 [(x^13-x^12-x^9+x^8-x^6-x^3-x^2-1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A293263 4.48494 [(x^8+x^7-14*x^6-5*x^5+30*x^4-17*x^3-10*x^2+5*x+1)/(x-1)/(x^2+2*x-1)/(2*x^5+3*x^4-7*x^3+12*x^2-7*x+1) ogf] A293292 10.9138 [x*(6*x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A293296 8.54596 [-x*(3*x^4+3*x^3+4*x^2+4*x+2)/(x^2+1)/(x+1)/(x-1)^3 ogf] A293297 19.6131 [ln(x+1)+2 lgdegf] A293300 5.16747 [(x^10+x^9+x^8+x^7-x^6-x^5-x^4-x^3+1)/(x+1)/(x^2+1)/(x^7-x^6+1) egf] A293306 13.0365 [-(x^2+1)/(-x^4-x^3+x+1) ogf_with_Euler_transform] A293309 3.34353 [-(x^8+112*x^7+1983*x^6+9684*x^5+16120*x^4+9684*x^3+1983*x^2+112*x+1)/(x-1)^11 ogf] A293310 3.27801 [(x^8+67*x^7+811*x^6+3049*x^5+4609*x^4+3049*x^3+811*x^2+67*x+1)/(x+1)/(x-1)^10 ogf] A293316 4.46876 [(x^18+x^15-x^13-x^11-x^10-x^9-x^8-x^7-2*x^6-x^5-x^4-2*x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A293344 7.82082 [-(10*x^9+8*x^7-10*x^4-3*x^2-1)/(x^10+x^8-2*x^5-x^3-x+1) ogf] A293387 14.5500 [-(-2*x^2-2)/(-x^4-x^3+x+1) ogf_with_Euler_transform] A293389 13.0474 [-(2*x^2+2)/(-x^4-x^3+x+1) ogf_with_Euler_transform] A293411 13.0327 [-(x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A293411 7.03534 [(16*f(x)-11)*(f(x)*x^4+f(x)*x^3+f(x)*x+x^2-f(x)+x+1) ogf] A293411 7.94993 [-(2*x^5+4*x^4+6*x^3+2*x^2+2*x+2)/(x^6+2*x^5+2*x^4+2*x^3-1) lgdogf] A293422 99.9999 Evaluated at exp(-Pi) 1024/3*exp(Pi)*Pi^(5/3)*3^(23/24)/GAMMA(2/3)^(7/3)/GAMMA(3/4)^(46/3)/(2^(1/2)*(1+3^(1/2)))^(47/6)*GAMMA(11/12)^(47/6)/(2^(1/2)*(3^(1/2)-1))^(11/2)*GAMMA(7/12)^(11/2) A293423 12.5357 [-(-3*x^4-3*x^3+2*x^2-3*x-3)/(-x^6+1) ogf_with_Euler_transform] A293475 16.0702 [-(40*x+50)/(8*x^2-x-7) lgdogf] A293475 5.25169 [{(14+7*n)*a(n+3)+(-49+n)*a(n+2)+(-40-8*n)*a(n+1),a(0)=0,a(1)=7,a(2)=50} ogf] A293475 9.56558 [x*(8*x+7)/(x-1)^6 ogf] A293476 11.8281 [-(12*x^2+32*x+12)/(2*x^3+2*x^2-3*x-1) lgdogf] A293476 3.90384 [{(n+3)*a(n+4)+(-6+3*n)*a(n+3)+(-34-2*n)*a(n+2)+(-12-2*n)*a(n+1),a(0)=0,a(1)=15,a(2)=180,a(3)=1050} ogf] A293476 7.01310 [15*x*(2*x^2+4*x+1)/(x-1)^8 ogf] A293481 10.2150 [(x^5+x^4+x^3+x^2+x+5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A293487 4.36086 [(x+1)*(x^2+1)*(2*x^9-3*x^8+2*x^6-x^5+x^4-x^3+x^2+x-1)/(x^12-2*x^10-x^8-x^7+x^6-x^5+x^4+x^3+x-1) egf] A293490 11.7116 [2*(-24*x+5+(1-4*x)^(1/2))/(16*x-3)/(-1+4*x) lgdogf] A293490 4.63452 [{(-64*n^2-256*n-252)*a(n+1)+(28*n^2+126*n+140)*a(n+2)+(-3*n^2-15*n-18)*a(n+3),a(0)=1,a(1)=4,a(2)=18} ogf] A293493 13.4938 [-(2*x^3+1)/(-x^6+2*x^3-1) lgdegf] A293494 13.2698 [-(-x^4-2*x)/(x^6-2*x^3+1) lgdegf] A293498 3.72183 [-(5*x^7-41*x^6+101*x^5-129*x^4+96*x^3-42*x^2+10*x-1)/(7*x^8-66*x^7+197*x^6-311*x^5+294*x^4-172*x^3+61*x^2-12*x+1) ogf] A293499 5.70084 [-(x^4-9*x^3+12*x^2-6*x+1)/(x-1)/(x^4-13*x^3+16*x^2-7*x+1) ogf] A293505 9.17471 [-x^3*(x^2-x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293507 13.1579 [-(3*x^4+1)/(-x^8+2*x^4-1) lgdegf] A293532 12.4746 [-(-x^2-1)/(-x^4+2*x^2-1) lgdegf] A293532 3.67671 [{(n+4)*a(n+4)+a(n+3)+(-2*n-4)*a(n+2)+a(n+1)+n*a(n),a(0)=1,a(1)=-1,a(2)=1/2,a(3)=-7/6} egf] A293533 9.81860 [-(-x^4-2*x^3-2*x-1)/(-x^6+2*x^3-1) lgdegf] A293543 8.19999 [-x*(x^8+x^7+x^3+x^2-1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A293544 13.9671 [-x^3/(x^2+x-1)/(x^4+1) ogf] A293544 8.29296 [-(-6*x^5-5*x^4+4*x^3-2*x-1)/(-x^6-x^5+x^4-x^2-x+1) lgdogf] A293545 9.19756 [x^3*(x^2+x+1)*(x^3-x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A293546 8.14712 [-x*(x^2+x+1)*(x^6+x-1)/(x-1)/(x+1)/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A293547 9.85701 [-x*(x^4-x^2+1)/(x^2+x-1)/(x^4+1) ogf] A293550 3.39793 [{(4*n^2+18*n+20)*a(n+1)+(31*n^2+235*n+464)*a(n+2)+(172+20*n)*a(n+3)+(-2*n^2-22*n-48)*a(n+4),a(0)=0,a(1)=1,a(2)=11,a(3)=69} ogf] A293552 8.49178 [-x*(x^6+x^5+x^3+x^2-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293553 14.2530 [x^4/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293553 8.46270 [-(8*x^7+7*x^6-6*x^5-2*x-1)/(x^8+x^7-x^6-x^2-x+1) lgdogf] A293561 10.1363 [(5*x-3)/(3*x-1)/(2*x-1)/(x-1)^3 ogf] A293561 8.01993 [-(120*x^3-195*x^2+106*x-19)/(30*x^4-73*x^3+63*x^2-23*x+3) lgdogf] A293562 4.92126 [(102*x^4-141*x^3+48*x^2+7*x-4)/(4*x-1)/(3*x-1)^2/(2*x-1)^2/(x-1)^4 ogf] A293565 11.8122 [-(-2*x^3-1)/(-x^6+2*x^3-1) lgdegf] A293566 11.7018 [-(-3*x^4-1)/(-x^8+2*x^4-1) lgdegf] A293567 11.7018 [-(x^4+2*x)/(x^6-2*x^3+1) lgdegf] A293571 9.77315 [-(-x^2+1)/(-x^4-2*x^3-3*x^2-2*x-1) lgdegf] A293572 7.25723 [-(2*x^3+x^2-1)/(x^6+2*x^5+3*x^4+4*x^3+3*x^2+2*x+1) lgdegf] A293579 14.2994 [(2*x-3)/(2*x-1)/(2*x^2-4*x+1) ogf] A293579 6.71451 [-(18463*f(x)-4270)*(4*f(x)*x^3-10*f(x)*x^2+6*f(x)*x-f(x)-2*x+3) ogf] A293579 6.71452 [{-a(n+3)+6*a(n+2)-10*a(n+1)+4*a(n),a(0)=3,a(1)=16,a(2)=66} ogf] A293579 8.87552 [-(16*x^3-56*x^2+60*x-16)/(8*x^4-32*x^3+42*x^2-20*x+3) lgdogf] A293580 7.09121 [-(4*x^3-16*x^2+24*x-13)/(2*x-1)/(2*x^2-4*x+1)/(2*x^3-6*x^2+6*x-1) ogf] A293589 10.2365 [-(x^2+2*x)/(-x^4-2*x^3-3*x^2-2*x-1) lgdegf] A293590 10.6803 [x^2*(x^2+2*x+3)/(x+1)^2/(x^2+1)^2 lgdegf] A293604 5.82592 [{(-2*n-4)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=-1} ogf] A293608 15.9337 [-(24*x+39)/(4*x^2+x-5) lgdogf] A293608 5.13991 [{(10+5*n)*a(n+3)+(-40-n)*a(n+2)+(-24-4*n)*a(n+1),a(0)=0,a(1)=50,a(2)=390} ogf] A293608 8.38617 [-10*x*(4*x+5)/(x-1)^7 ogf] A293610 10.6632 [-(216*x^2+478*x+146)/(36*x^3+22*x^2-47*x-11) lgdogf] A293610 3.75751 [{(-33-11*n)*a(n+4)+(52-47*n)*a(n+3)+(500+22*n)*a(n+2)+(216+36*n)*a(n+1),a(0)=0,a(1)=11,a(2)=146,a(3)=896} ogf] A293610 6.98299 [x*(36*x^2+58*x+11)/(x-1)^8 ogf] A293611 15.6671 [-(84*x+91)/(14*x^2-3*x-11) lgdogf] A293611 5.22235 [{(22+11*n)*a(n+3)+(-88+3*n)*a(n+2)+(-84-14*n)*a(n+1),a(0)=0,a(1)=11,a(2)=91} ogf] A293611 8.57565 [-x*(14*x+11)/(x-1)^7 ogf] A293612 3.78237 [{(-3721*n^2-42535*n-115416)*a(n+1)+(1412*n^2-21860*n-95596)*a(n+2)+(2309*n^2+10125*n+11014)*a(n+3),a(0)=0,a(1)=26,a(2)=588} ogf] A293612 5.26025 [2*x*(120*x^3+333*x^2+164*x+13)/(x-1)^10 ogf] A293612 8.02320 [-(840*x^3+3024*x^2+2142*x+294)/(120*x^4+213*x^3-169*x^2-151*x-13) lgdogf] A293613 10.4351 [-(525*x^2+1246*x+434)/(75*x^3+62*x^2-104*x-33) lgdogf] A293613 3.70591 [{(-99-33*n)*a(n+4)+(226-104*n)*a(n+3)+(1308+62*n)*a(n+2)+(525+75*n)*a(n+1),a(0)=0,a(1)=66,a(2)=868,a(3)=5586} ogf] A293613 6.29416 [-2*x*(75*x^2+137*x+33)/(x-1)^9 ogf] A293614 14.4236 [-(105*x+119)/(15*x^2-2*x-13) lgdogf] A293614 4.89858 [{(26+13*n)*a(n+3)+(-117+2*n)*a(n+2)+(-105-15*n)*a(n+1),a(0)=0,a(1)=26,a(2)=238} ogf] A293614 7.48918 [2*x*(15*x+13)/(x-1)^8 ogf] A293615 11.1601 [60*x/(x-1)^6 ogf] A293615 29.0960 [6/(-x+1) lgdogf] A293615 62.1167 [[6] ogf_with_Euler_transform] A293615 7.83353 [{(n+1)*a(n+2)+(-6-n)*a(n+1),a(0)=0,a(1)=60} ogf] A293631 9.33069 [x^2*(x^3+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293632 7.96214 [-(x^5+x^3-x^2+x-1)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293633 9.92810 [-(x^6+x^3-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A293638 6.82116 [x^4*(x-1)*(x+1)/(x^2+x-1)/(x^8-x^6+x^4-x^2+1) ogf] A293639 3.90176 [x^4*(x+1)*(x^2-x+1)*(x^6+x^5-2*x^3-x^2+x+1)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A293641 6.37777 [-x^3*(x^4-x^2+1)/(x^2+x-1)/(x^8-x^6+x^4-x^2+1) ogf] A293642 4.57719 [x^3*(x^4+1)*(x^6-x^4+1)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A293643 4.31904 [-x*(x^13+x^12-x^8+x^3+x^2-1)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A293644 5.75872 [-x*(x^4+1)*(x-1)^2*(x+1)^2/(x^2+x-1)/(x^8-x^6+x^4-x^2+1) ogf] A293656 5.94733 [{(-n^2-9*n-20)*a(n+1)+(n+2)*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A293671 4.71254 [x^3*(x^10-x^3+x+1)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A293672 4.39606 [-x*(x^13+x^12-x^10+x^5+x^2-1)/(x-1)/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^6+x^4-x^2+1) ogf] A293673 5.28099 [-x*(x^8-x^6+x^5+x^4-x^3-x^2+1)/(x^2+x-1)/(x^8-x^6+x^4-x^2+1) ogf] A293686 13.0557 [x*(x+10099)/(x+1)/(x-1)^2 ogf] A293686 5.27416 [-(20801778516089600*f(x)+210087564183389910599)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-10099*x) ogf] A293686 6.69242 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=10099,a(2)=10100} ogf] A293686 9.95498 [-(-2*x^2-30298*x-10100)/(-x^3-10099*x^2+x+10099) lgdogf] A293703 6.22268 [(2*x^17-2*x^16+2*x^15-2*x^14+2*x^13-2*x^12+2*x^11-2*x^10+2*x^9-2*x^8+x+1)/(x-1)^2 ogf] A293706 9.83555 [-2*x^9*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1) ogf] A293710 11.6579 [-(-3*x^2-8*x-4)/(-x^3-4*x^2-4*x+1) lgdogf] A293710 16.5801 [-x^2/(x^3+4*x^2+4*x-1) ogf] A293710 6.78277 [{-a(n+3)+4*a(n+2)+4*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A293710 9.21116 [-f(x)*x^3-4*f(x)*x^2-4*f(x)*x-x^2+f(x) ogf] A293716 26.0530 [9*x^2+4*x+1 lgdegf] A293716 4.14480 [{(-9*n^2-45*n-54)*a(n+1)+(-4*n-12)*a(n+2)+a(n+4)-a(n+3),a(0)=1,a(1)=1,a(2)=5,a(3)=31} ogf] A293717 18.8431 [16*x^3+9*x^2+4*x+1 lgdegf] A293720 5.87038 [{(8*n+16)*a(n+1)-a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=9} ogf] A293721 22.7262 [27*x^2+8*x+1 lgdegf] A293721 3.68191 [{(27*n^2+135*n+162)*a(n+1)+(8*n+24)*a(n+2)-a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=9,a(3)=79} ogf] A293723 16.1169 [64*x^3+27*x^2+8*x+1 lgdegf] A293723 3.12471 [{(-n-5)*a(n+5)+a(n+4)+8*a(n+3)+27*a(n+2)+64*a(n+1),a(0)=1,a(1)=1,a(2)=9/2,a(3)=79/6,a(4)=841/24} egf] A293727 11.6073 [-(23*x^9-23*x^8+x^2-x-1)/(x-1)^2 ogf] A293732 9.35333 [-1/2*(2*x+1)/x^2+1/2*I/x^2/(2*x-1)^(1/2)*(2*x+1)^(1/2) ogf_with_Euler_transform] A293733 8.39975 [1/2*I/x^3*(3*x-1)^(1/2)*(x+1)^(1/2)-1/2*(2*x^2+x-1)/x^3 ogf_with_Euler_transform] A293754 14.4582 [-(x^4-x^3-1)/(x-1)^2 ogf] A293754 8.00116 [-(4*f(x)+125)*(x^4+f(x)*x^2-x^3-2*f(x)*x+f(x)-1) ogf] A293754 9.81094 [-(-2*x^4+5*x^3-3*x^2-2)/(x^5-2*x^4+x^3-x+1) lgdogf] A293755 8.01646 [-(5*x^18-5*x^17+63*x^15-62*x^14-x^12+x^2+141*x-143)/(x-1)^2 ogf] A293774 3.46718 [(2*x^10+4*x^9+2*x^8+5*x^7+11*x^6+8*x^5+6*x^4+6*x^3+2*x^2+x-1)/(4*x^10+8*x^9+4*x^8+10*x^7+22*x^6+16*x^5+8*x^4+6*x^3+2*x^2+2*x-1) ogf] A293777 2.40986 [-(f(x)-1)^3 ogf] A293778 3.61479 [-(f(x)-1)^3 ogf] A293809 5.39707 [x^2*exp(1/2*x*(x+2))+2*x*exp(1/2*x*(x+2))+2*exp(1/2*x*(x+2)) egf]_with_Euler_transform] A293817 9.40756 [-(14*x^5+19*x^4+26*x^3-19*x^2-14*x-13)/(x^6-4*x^3+1) ogf] A293821 9.46165 [(2*x^3-x^2+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A293822 6.00685 [-(x^8-2*x^6+2*x^5+7*x^4+2*x^3-x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^4/(x-1)^5 ogf] A293823 4.30501 [(2*x^9+4*x^8+6*x^7+3*x^6+7*x^5+10*x^4+5*x^3+x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^5/(x-1)^6 ogf] A293846 10.4205 [3*(3*x^4+8*x^3+13*x^2+8*x+3)/(x^6-4*x^3+1) ogf] A293870 11.1186 [-(89*x^21+10*x^20-99*x^12+89*x^2-80*x-10)/(x-1)^2 ogf] A293871 10.1069 [-(88*x^21+11*x^20-8*x^12-91*x^11+98*x^2-88*x-11)/(x-1)^2 ogf] A293914 3.64765 [{(2*n+5)*a(n+1)+(4*n^2+24*n+34)*a(n+2)+(-4*n-14)*a(n+3)+a(n+4),a(0)=1,a(1)=2,a(2)=10,a(3)=69} ogf] A293948 6.76643 [-(4*x^9+2*x^8-6*x^7+5*x^5-4*x^4-4*x^3+4*x^2+x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1)^2 ogf] A293962 3.55444 [{(-2*n^2-3*n)*a(n+1)+n*a(n+2)+(2*n^2+15*n+28)*a(n+3)+(-n-4)*a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=10} ogf] A293962 6.61974 [-18*f(x)^2*x+12*f(x)*x^2-2*x^3+9*f(x)^2+6*f(x)*x-3*x^2-6*f(x)-3 egf] A293986 7.54306 [-1/(-x^8+8*x^7-28*x^6+56*x^5-70*x^4+56*x^3-28*x^2+8*x-1) lgdegf] A293987 24.6071 [-1/(-1+x)^9 lgdegf] A293988 24.7416 [1/(-1+x)^10 lgdegf] A293990 11.1084 [(x^4+2*x^3+2*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A293995 12.8068 [-(x-1)/(3*x-1)/(2*x^3-2*x^2-x-1) ogf] A293995 6.05591 [(117296*f(x)-2295)*(6*f(x)*x^4-8*f(x)*x^3-f(x)*x^2-2*f(x)*x+f(x)+x-1) ogf] A293995 7.81214 [-(-18*x^4+40*x^3-23*x^2-2*x-1)/(-6*x^5+14*x^4-7*x^3+x^2-3*x+1) lgdogf] A293996 5.93815 [-(2*x^4+4*x^3+x^2+x-1)/(4*x-1)/(12*x^7+30*x^6+14*x^5+8*x^4-13*x^3-6*x^2-2*x-1) ogf] A294020 8.37929 [x*(16*x^9+12*x^8+20*x^7+13*x^6+4*x^5+8*x^4+6*x^3+4*x^2+4*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A294021 9.29228 [-x*(16*x^9+12*x^8+20*x^7+13*x^6+4*x^5+8*x^4+6*x^3+4*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A294039 3.25527 [{(4*n^3+34*n^2+92*n+80)*a(n+1)+(-4*n^3-38*n^2-121*n-130)*a(n+2)+(n+3)*a(n+3),a(0)=2,a(1)=16,a(2)=326} ogf] A294049 8.66500 [(x+1)*(x^5+x^4-x^3-x^2-1)/(x-1)/(x^7+x^6-x^5-x^4-x^3-x^2+1) ogf] A294050 10.0697 [-4/(x^5-5*x^4+10*x^3-10*x^2+5*x-1) lgdegf] A294051 9.28175 [-5/(-x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) lgdegf] A294052 9.77429 [(x-2)/(x-1)/(x^2-3*x+1)/(x^3-x^2-3*x+1) ogf] A294085 6.88282 [(x^4+x^3+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^3/(x-1)^4 ogf] A294090 9.53986 [-(135*x^5+130*x^4+50*x^3+35*x^2+18*x+5)/(10*x^4-1) ogf] A294102 11.4392 [-(2*x^4+5*x^3+9*x^2+4*x+1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A294116 10.0136 [(25*f(x)+391)*(f(x)*x^2+f(x)*x-f(x)+19*x+2) ogf] A294116 10.7375 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=21} ogf] A294116 12.9161 [-(-19*x^2-4*x-21)/(-19*x^3-21*x^2+17*x+2) lgdogf] A294116 19.3741 [-(19*x+2)/(x^2+x-1) ogf] A294119 6.02623 [{(-4*n-8)*a(n+1)+a(n+3)-4*a(n+2),a(0)=1,a(1)=4,a(2)=20} ogf] A294120 21.6778 [9*(x+1)^2 lgdegf] A294120 3.37210 [{(9*n^2+45*n+54)*a(n+1)+(18*n+54)*a(n+2)-a(n+4)+9*a(n+3),a(0)=1,a(1)=9,a(2)=99,a(3)=1233} ogf] A294129 4.78365 [{(n+3)*a(n+1)+(-n-2)*a(n+2)+a(n+4)-2*a(n+3),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A294139 7.28732 [x^2*(2*x^3+11*x^2+11*x+12)/(x+1)^3/(x-1)^4 ogf] A294139 7.84788 [-(-8*x^4-57*x^3-83*x^2-117*x-23)/(-2*x^5-11*x^4-9*x^3-x^2+11*x+12) lgdogf] A294140 7.20416 [-x*(4*x^3+8*x^2-5*x-1)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A294152 10.5170 [-x*(x+1)*(x-2)/(x^2-3*x+1)/(x-1)^2 ogf] A294152 3.85801 [{(2*n+9)*a(n+1)+(-8*n-34)*a(n+2)+(8*n+30)*a(n+3)+(-2*n-7)*a(n+4),a(0)=0,a(1)=2,a(2)=11,a(3)=38} ogf] A294152 5.44499 [(29360*f(x)+67867)*(f(x)*x^4-5*f(x)*x^3+8*f(x)*x^2+x^3-5*f(x)*x-x^2+f(x)-2*x) ogf] A294152 7.83412 [-(2*x^4-6*x^3-4*x^2+23*x-11)/(x^5-5*x^4+6*x^3+3*x^2-7*x+2) lgdogf] A294157 10.2474 [{a(n+2)-a(n+1)-a(n),a(0)=2,a(1)=8} ogf] A294157 13.1294 [-(-3*x^2-2*x-4)/(-3*x^3-4*x^2+2*x+1) lgdogf] A294157 18.6730 [-2*(3*x+1)/(x^2+x-1) ogf] A294157 9.1335 [-(41*f(x)+430)*(f(x)*x^2+f(x)*x-f(x)+6*x+2) ogf] A294159 5.79376 [f(x)^2*x^3+f(x)^2*x^2-f(x)*x^3+3*f(x)^2*x-f(x)*x^2-f(x)^2-3*f(x)*x+f(x)+x ogf] A294172 8.45924 [-(3*x^4+10*x^3+22*x^2+16*x+5)/(x^5+2*x^4+2*x^3-x^2-3*x-1) lgdogf] A294172 9.00500 [(x^3+2*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A294175 5.06579 [8*f(x)^2*x^4-4*f(x)^2*x^3-2*f(x)^2*x^2-4*f(x)*x^3+f(x)^2*x+4*f(x)*x^2+f(x)*x+x^2-f(x) ogf] A294178 5.83624 [-(112*f(x)-859)*(f(x)*x^4-2*f(x)*x^2-3*x^3-x^2+f(x)-3*x-1) ogf] A294189 14.9230 [4/(-x^3+3*x^2-3*x+1) lgdegf] A294189 3.60775 [{(-n^3-3*n^2-2*n)*a(n)+(3*n^2+9*n+6)*a(n+1)+(-3*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=4,a(2)=28} ogf] A294190 11.3873 [-9/(-x^4+4*x^3-6*x^2+4*x-1) lgdegf] A294213 8.82076 [-(-3*x-1)/(-x^5+x^4+2*x^3-2*x^2-x+1) lgdegf] A294214 7.81030 [(6*x^3+7*x^2+4*x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^4 lgdegf] A294221 9.27014 [1/3*exp(x)*x^3+5/2*exp(x)*x^2+4*exp(x)*x+exp(x) lgdegf] A294251 14.0286 [6*x^5+5*x^4+4*x^3+6*x^2+2*x+1 lgdegf] A294255 23.6281 [3*x^2-2*x-1 lgdegf] A294255 3.78050 [{(3*n^2+15*n+18)*a(n+1)+(-2*n-6)*a(n+2)-a(n+4)-a(n+3),a(0)=1,a(1)=-1,a(2)=-1,a(3)=11} ogf] A294256 14.8932 [-6*x^5+5*x^4+4*x^3-2*x-1 lgdegf] A294257 12.3069 [10*x^9-9*x^8-8*x^7+10*x^4-2*x-1 lgdegf] A294258 6.55675 [-15*x^14+14*x^13+13*x^12-10*x^9-9*x^8-8*x^7+7*x^6+6*x^5+5*x^4-2*x-1 lgdegf] A294259 10.7925 [-(-4*x^3+9*x^2+6*x+4)/(-2*x^4+7*x^3-6*x^2+2*x-1) lgdogf] A294259 4.61712 [{(57*n^2+373*n+518)*a(n+1)+(-106*n^2-442*n-152)*a(n+2)+(49*n^2+101*n+6)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A294259 9.48793 [x*(2*x^3-5*x^2+x-1)/(x-1)^5 ogf] A294262 11.7704 [-(x^4+4*x^3+4*x^2-8*x-1)/(x^5+7*x^4+12*x^3-5*x+1) lgdogf] A294262 17.1733 [(x^2+2*x-1)/(x+1)/(x^2+4*x-1) ogf] A294262 8.8777 [-(188*f(x)+21)*(f(x)*x^3+5*f(x)*x^2+3*f(x)*x-x^2-f(x)-2*x+1) ogf] A294262 9.35330 [{a(n+3)-3*a(n+2)-5*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=7} ogf] A294269 9.64606 [(2*x^6-3*x^5+2*x^3+x^2+x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A294270 5.47059 [-x*(x^6+7*x^5+24*x^4+28*x^3+27*x^2+7*x+2)/(x+1)^4/(x-1)^5 ogf] A294271 4.18168 [x*(x^8+15*x^7+77*x^6+165*x^5+241*x^4+165*x^3+87*x^2+15*x+2)/(x+1)^5/(x-1)^6 ogf] A294286 7.54348 [x^2*(x^3+5*x^2+5*x+5)/(x+1)^3/(x-1)^4 ogf] A294286 8.93738 [-(-4*x^4-26*x^3-38*x^2-50*x-10)/(-x^5-5*x^4-4*x^3+5*x+5) lgdogf] A294287 5.59710 [-x^2*(x^5+9*x^4+22*x^3+36*x^2+19*x+9)/(x+1)^4/(x-1)^5 ogf] A294288 4.21375 [x^2*(x^7+17*x^6+75*x^5+187*x^4+219*x^3+187*x^2+65*x+17)/(x+1)^5/(x-1)^6 ogf] A294290 7.79785 [-(-3*x^2-2*x-1)/(-x^6-2*x^5-3*x^4-4*x^3-3*x^2-2*x-1) lgdegf] A294315 11.0168 [2*x*(x^2+6*x+2)/(x-1)^4 ogf] A294315 12.3522 [-(2*x^2+20*x+14)/(x^3+5*x^2-4*x-2) lgdogf] A294315 4.11738 [{(6+2*n)*a(n+4)+(-6+4*n)*a(n+3)+(-25-5*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=4,a(2)=28,a(3)=90} ogf] A294315 5.39896 [-(5630796*f(x)+30587185)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-12*x^2+f(x)-4*x) ogf] A294327 10.2108 [-(-100*x^2+80*x-16)/(-50*x^3+65*x^2-16*x+1) lgdogf] A294327 11.3276 [18*x*(5*x-1)/(x-1)/(10*x-1)^2 ogf] A294327 6.09216 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=0,a(1)=18,a(2)=288} ogf] A294327 6.14379 [-(8*f(x)+9)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-90*x^2-f(x)+18*x) ogf] A294328 10.6515 [2*x*(5*x-1)/(x-1)/(10*x-1)^2 ogf] A294328 5.73542 [-(8*f(x)+1)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-10*x^2-f(x)+2*x) ogf] A294328 5.73542 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=0,a(1)=2,a(2)=32} ogf] A294328 9.45132 [-(-100*x^2+80*x-16)/(-50*x^3+65*x^2-16*x+1) lgdogf] A294329 10.1686 [-(-100*x^2+80*x-16)/(-50*x^3+65*x^2-16*x+1) lgdogf] A294329 11.2808 [16*x*(5*x-1)/(x-1)/(10*x-1)^2 ogf] A294329 6.06698 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=0,a(1)=16,a(2)=256} ogf] A294329 6.1184 [-(f(x)+1)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x-80*x^2-f(x)+16*x) ogf] A294344 10.5215 [-(10*x^2-12*x+1)/(x-1)/(10*x-1)^2 ogf] A294344 5.63357 [-(1236*f(x)+155)*(100*f(x)*x^3-120*f(x)*x^2+21*f(x)*x+10*x^2-f(x)-12*x+1) ogf] A294344 6.06324 [{-a(n+3)+21*a(n+2)-120*a(n+1)+100*a(n),a(0)=1,a(1)=9,a(2)=79} ogf] A294344 7.69314 [-(-100*x^3+230*x^2-130*x+9)/(-100*x^4+230*x^3-152*x^2+23*x-1) lgdogf] A294348 10.116 [-(10*f(x)*x^2-11*f(x)*x+f(x)-1)^2 ogf] A294364 5.52172 [-f(x)^2*(f(x)*x^5+f(x)*x^4-f(x)*x^3+5*x^4+f(x)*x^2+3*x^3+f(x)*x+x^2-f(x)+x+1) ogf] A294364 9.44035 [-(5*x^4+3*x^3+x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+x-1) ogf] A294372 10.4497 [(x-1)^4/(x^2+4*x+1) ogf] A294372 11.0928 [-(2*x^2+14*x+8)/(-x^3-3*x^2+3*x+1) lgdogf] A294372 5.50404 [{-a(n+5)-4*a(n+4)-a(n+3),a(0)=1,a(1)=-8,a(2)=37,a(3)=-144,a(4)=540} ogf] A294372 6.26981 [-(71*f(x)+23)*(-x^4+f(x)*x^2+4*x^3+4*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A294387 99.9999 Evaluated at exp(-Pi) 1/4/Pi^(1/3)*3^(1/3)*GAMMA(2/3)^(2/3)/GAMMA(3/4)^(4/3)*GAMMA(11/12)^(1/3)*GAMMA(7/12)/(2^(1/2)*(1+3^(1/2)))^(1/3)*2^(1/2)*(1+3^(1/2)) A294433 7.58474 [-(-x^4-26*x^3-105*x^2-92*x-16)/(-x^5-10*x^4-13*x^3+13*x^2+10*x+1) lgdogf] A294433 8.12651 [-(x^4+11*x^3+24*x^2+11*x+1)/(x-1)^5 ogf] A294452 6.69106 [x*(16*x^6+20*x^4-32*x^3+24*x^2-8*x+1)/(2*x-1)^2/(2*x^2-4*x+1)^2 ogf] A294473 7.18658 [2*x^2*(x^3+5*x^2+5*x+5)/(x+1)^3/(x-1)^4 ogf] A294473 8.74888 [-(4*x^4+26*x^3+38*x^2+50*x+10)/(x^5+5*x^4+4*x^3-5*x-5) lgdogf] A294486 14.1405 [-(-48*x-18)/(-32*x^2+4*x+1) lgdogf] A294486 4.62284 [{(n+3)*a(n+3)+(-10+4*n)*a(n+2)+(-80-32*n)*a(n+1),a(0)=1,a(1)=18,a(2)=150} ogf] A294527 3.85136 [{(12*n^3+82*n^2+186*n+140)*a(n+1)+(21*n^3+91*n^2+94*n)*a(n+2)+(-6*n^3-38*n^2-64*n-32)*a(n+3),a(0)=0,a(1)=0,a(2)=1} ogf] A294527 5.77703 [f(x)^2*x^4+6*f(x)^2*x^3+12*f(x)^2*x^2-2*f(x)*x^3+8*f(x)^2*x+3*f(x)*x^2+x^2-f(x) ogf] A294527 8.01711 [-3*I/(-1+4*x)^(1/2)/x*(x-1)/(x+2)-3*(x+1)/(x+2)/x lgdogf] A294566 13.1262 [-(4*x^2-x-1)/(x-1)/(5*x^2-1) ogf] A294566 6.7856 [-(80*f(x)+109)*(5*f(x)*x^3-5*f(x)*x^2-f(x)*x+4*x^2+f(x)-x-1) ogf] A294566 7.14912 [{a(n+3)-a(n+2)-5*a(n+1)+5*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A294566 8.25465 [-(-20*x^4+10*x^3+6*x^2-2*x-2)/(-20*x^5+25*x^4+4*x^3-10*x^2+1) lgdogf] A294591 10.4875 [-(x^2+x+1)/(x^5-x^4-2*x^3+2*x^2+x-1) ogf_with_Euler_transform] A294604 4.73993 [-(x^10-2*x^9+2*x^8+x^7+24*x^6+36*x^5+57*x^4+54*x^3+48*x^2+21*x+10)/(x^2+x+1)^3/(x-1)^5 ogf] A294619 15.8175 [x*(x^2-x-1)/(x-1) ogf] A294619 8.15849 [{a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=1} ogf] A294619 9.68821 [(2*f(x)+21)*(-x^3+f(x)*x+x^2-f(x)+x) ogf] A294627 10.4504 [2*f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+x ogf] A294627 11.6880 [-(4*x^3+7*x^2+2*x+2)/(2*x^4+3*x^3+2*x^2-1) lgdogf] A294627 15.5840 [-x*(x+1)/(2*x-1)/(x^2+x+1) ogf] A294627 8.00258 [{-a(n+3)+a(n+2)+a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A294654 10.5773 [-(-x^2-3*x-1)/(-x^5+x^4+2*x^3-2*x^2-x+1) ogf_with_Euler_transform] A294655 10.9824 [-(-x^2-4*x-1)/(-x^5+x^4+2*x^3-2*x^2-x+1) ogf_with_Euler_transform] A294667 14.0833 [-(-x-2)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A294668 13.4637 [-(-x^2-2)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A294669 12.7479 [-(-2*x^2-1)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A294683 7.31443 [(x-1)*(x^2+x+1)*(x+1)^3/(x^2+x-1)/(x^3+x^2-1)^2 ogf] A294689 4.14175 [(34*x^10+68*x^9+136*x^8+91*x^7+61*x^6+41*x^5+82*x^4+55*x^3+37*x^2+25*x+17)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A294691 12.7758 [-(-5*x^2-1)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A294692 13.9687 [-(-x-5)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A294693 4.91817 [-(17*x^8-80*x^7+192*x^6-274*x^5+248*x^4-145*x^3+53*x^2-11*x+1)/(2*x-1)^3/(x-1)^6 ogf] A294694 6.37370 [(2*x^7-x^6-4*x^5+16*x^4-24*x^3+19*x^2-7*x+1)/(x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A294695 4.73128 [-(3*x^8-30*x^7+104*x^6-183*x^5+195*x^4-129*x^3+51*x^2-11*x+1)/(2*x-1)/(x^2-3*x+1)^2/(x-1)^4 ogf] A294697 7.18357 [-(2*x-1)*(4*x^4-9*x^3+12*x^2-6*x+1)/(3*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A294698 3.90765 [-(17*x^9-95*x^8+269*x^7-463*x^6+521*x^5-393*x^4+198*x^3-64*x^2+12*x-1)/(2*x-1)^3/(x-1)^7 ogf] A294700 5.97452 [-(6*x^6-30*x^5+50*x^4-48*x^3+27*x^2-8*x+1)/(2*x-1)^2/(x-1)^5 ogf] A294701 7.68348 [(2*x^6-8*x^4+14*x^3-14*x^2+6*x-1)/(2*x-1)^2/(x-1)^3 ogf] A294702 6.37493 [-(10*x^6-38*x^5+64*x^4-62*x^3+33*x^2-9*x+1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^3 ogf] A294705 5.14005 [(10*x^7+34*x^6-78*x^5+98*x^4-75*x^3+35*x^2-9*x+1)/(2*x-1)^2/(x-1)^6 ogf] A294708 6.02005 [-(2*x^10-6*x^9+6*x^8+4*x^7+4*x^6+8*x^5+6*x^4-4*x^3+7*x^2-4*x+1)/(x-1)^5 ogf] A294709 7.69305 [-(2*x^5+30*x^4+7*x^3+11*x^2-3*x+1)/(2*x^6+8*x^5-21*x^4+22*x^3-16*x^2+6*x-1) lgdogf] A294709 7.82684 [(2*x^5+10*x^4-11*x^3+11*x^2-5*x+1)/(x-1)^6 ogf] A294718 5.61754 [-(4*x^9-11*x^8+10*x^7+2*x^6-7*x^5+21*x^4-22*x^3+16*x^2-6*x+1)/(x-1)^7 ogf] A294719 6.59272 [-(x^7-13*x^5+25*x^4-29*x^3+20*x^2-7*x+1)/(x^2-3*x+1)/(x-1)^5 ogf] A294724 4.30058 [-4*f(x)^3*x^2+27*f(x)^2*x^2+4*f(x)*x^3+4*f(x)^2*x-25*f(x)*x^2+x^3+11*f(x)*x-f(x) ogf] A294725 6.93856 [-(2*x^6-6*x^5+21*x^4-22*x^3+16*x^2-6*x+1)/(x-1)^7 ogf] A294726 4.84443 [-(2*x^8-10*x^7+40*x^6-70*x^5+81*x^4-60*x^3+29*x^2-8*x+1)/(x-1)^9 ogf] A294728 4.55621 [-2*f(x)^3*x^2+4*f(x)^2*x^3-9*f(x)^2*x^2-4*f(x)*x^3+4*f(x)^2*x+5*f(x)*x^2+x^3+f(x)*x-f(x) ogf] A294732 11.5045 [-(-x^3-5*x^2-4*x-2)/(-x^5-x^2+x+1) lgdogf] A294732 13.5791 [(x^3+x+1)/(x+1)/(x-1)^2 ogf] A294732 6.27518 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A294732 7.39575 [(3*f(x)-20)*(f(x)*x^3-f(x)*x^2-x^3-f(x)*x+f(x)-x-1) ogf] A294749 8.14955 [-(x^8+4*x^6-x^5+6*x^4+4*x^2-x+1)/(x^12-3*x^8+3*x^4-1) ogf_with_Euler_transform] A294750 13.3577 [-(-x^2-1)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A294762 5.16532 [-(4*x^8-2*x^7-17*x^6+25*x^5-43*x^4+38*x^3-22*x^2+7*x-1)/(x-1)^8 ogf] A294763 4.34146 [-(x^10-15*x^8+55*x^7-111*x^6+149*x^5-141*x^4+89*x^3-37*x^2+9*x-1)/(x-1)^10 ogf] A294764 6.85639 [-(-x^5-6*x^4+10*x^3-13*x^2+5*x-1)/(-2*x^7+9*x^6-23*x^5+36*x^4-37*x^3+24*x^2-8*x+1) lgdogf] A294764 7.02362 [(x^3-2*x^2+3*x-1)^2/(2*x^3-3*x^2+4*x-1)/(x-1)^3 ogf] A294765 4.34286 [-(2*x^10-17*x^9+66*x^8-158*x^7+256*x^6-289*x^5+230*x^4-126*x^3+46*x^2-10*x+1)/(x-1)^11 ogf] A294766 4.25246 [(x^9-26*x^8+138*x^7-317*x^6+419*x^5-350*x^4+188*x^3-63*x^2+12*x-1)/(2*x-1)^4/(x-1)^5 ogf] A294767 6.91968 [-(5*x^5-19*x^4+25*x^3-19*x^2+7*x-1)/(x-1)/(x^2-3*x+1)/(3*x^3-5*x^2+4*x-1) ogf] A294768 5.64378 [(x^2-3*x+1)*(x-1)^5/(4*x^7-23*x^6+55*x^5-78*x^4+66*x^3-33*x^2+9*x-1) ogf] A294769 5.6506 [(7*f(x)-8)*(4*f(x)*x^4-9*f(x)*x^3-2*x^4+11*f(x)*x^2+4*x^3-6*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A294769 9.59288 [(2*x^4-4*x^3+7*x^2-5*x+1)/(4*x^4-9*x^3+11*x^2-6*x+1) ogf] A294770 5.44805 [-(3*x^8-15*x^7+40*x^6-66*x^5+81*x^4-60*x^3+29*x^2-8*x+1)/(x-1)^9 ogf] A294771 5.30003 [(x^2-3*x+1)*(x-1)^6/(5*x^8-31*x^7+83*x^6-134*x^5+144*x^4-99*x^3+42*x^2-10*x+1) ogf] A294772 5.81171 [-(4*x^6-27*x^5+55*x^4-57*x^3+32*x^2-9*x+1)/(3*x-1)/(x^2-3*x+1)/(x-1)^4 ogf] A294774 13.1586 [-(-5*x^2+2*x-9)/(-5*x^3+11*x^2-11*x+5) lgdogf] A294774 14.2372 [-(5*x^2-6*x+5)/(x-1)^3 ogf] A294774 7.68556 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=5,a(1)=9,a(2)=17} ogf] A294774 7.75419 [(15*f(x)+2)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-6*x+5) ogf] A294777 8.93349 [-(x^8+3*x^6-x^5+3*x^4+x^2)/(x^12-3*x^8+3*x^4-1) ogf_with_Euler_transform] A294778 17.6798 [x^2/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A294779 9.05347 [-(2*x^8+6*x^6-x^5+6*x^4+2*x^2)/(x^12-3*x^8+3*x^4-1) ogf_with_Euler_transform] A294780 10.3079 [-(-2*x^4-5*x^3-6*x^2-2*x)/(-x^6+3*x^4-3*x^2+1) ogf_with_Euler_transform] A294781 6.18605 [-(x^2+1)*(x-1)^2*(x+1)^3/(x^2+2*x-1)/(x^3+x^2+x-1)^2 ogf] A294782 7.53655 [(x^2+1)*(x-1)^3*(x+1)^3/(x^2+2*x-1)/(x^3+x^2+x-1)^2 ogf] A294784 21.7404 [-1+arcsin(x)+(-x^2+1)^(1/2) revegf] A294790 3.83203 [{(-4*n-14)*a(n+1)+(9*n+33)*a(n+2)+(-6*n-24)*a(n+3)+(n+5)*a(n+4),a(0)=1,a(1)=2,a(2)=5,a(3)=13} ogf] A294796 5.18757 [-(10*x^7-34*x^6+78*x^5-98*x^4+75*x^3-35*x^2+9*x-1)/(2*x-1)^2/(x-1)^6 ogf] A294797 4.23401 [-(10*x^9-64*x^8+192*x^7-367*x^6+447*x^5-358*x^4+189*x^3-63*x^2+12*x-1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^6 ogf] A294799 4.41426 [(4*x^9-12*x^8+45*x^7-114*x^6+176*x^5-173*x^4+110*x^3-44*x^2+10*x-1)/(2*x-1)^2/(x-1)^7 ogf] A294800 7.17705 [-(2*x^6-10*x^5+25*x^4-29*x^3+20*x^2-7*x+1)/(x^2-3*x+1)/(x-1)^5 ogf] A294801 6.60020 [-(7*x^6-36*x^5+64*x^4-62*x^3+33*x^2-9*x+1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^3 ogf] A294802 9.23079 [-(2*x^4-3*x^3+13*x^2-5*x+1)/(-2*x^5-11*x^4+30*x^3-24*x^2+8*x-1) lgdogf] A294802 9.41917 [(x^3+7*x^2-5*x+1)*(x-1)^2/(2*x-1)^4 ogf] A294803 6.20048 [(3*x^7-31*x^6+86*x^5-120*x^4+94*x^3-42*x^2+10*x-1)/(x-1)^3/(2*x-1)^4 ogf] A294804 8.51191 [-(x^6-4*x^5+23*x^4-36*x^3+25*x^2-8*x+1)/(x-1)/(2*x-1)^4 ogf] A294805 7.20300 [(x^6-4*x^5+12*x^4-27*x^3+23*x^2-8*x+1)/(x^2-3*x+1)^3 ogf] A294806 5.73513 [-(28*x^7-111*x^6+204*x^5-214*x^4+136*x^3-52*x^2+11*x-1)/(2*x-1)^4/(x-1)^4 ogf] A294807 5.26873 [(x^8-29*x^7+136*x^6-263*x^5+275*x^4-169*x^3+61*x^2-12*x+1)/(x^2-3*x+1)/(x-1)^2/(2*x-1)^4 ogf] A294814 5.38713 [(x^7-15*x^6+61*x^5-101*x^4+87*x^3-41*x^2+10*x-1)/(x^2-3*x+1)/(x-1)^2/(2*x-1)^3 ogf] A294817 7.09560 [-(3*x^5-19*x^4+32*x^3-24*x^2+8*x-1)/(2*x-1)/(x-1)/(x^2-3*x+1)^2 ogf] A294818 7.09310 [-(7*x^5-34*x^4+49*x^3-31*x^2+9*x-1)/(x^2-3*x+1)^2/(2*x-1)^2 ogf] A294836 10.5532 [-(3*x^4+7*x^3+12*x^2+5*x+1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A294837 11.0139 [-(4*x^4+9*x^3+15*x^2+6*x+1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A294838 10.4904 [-(5*x^4+11*x^3+18*x^2+7*x+1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A294839 7.48822 [-(x^7+2*x^6+3*x^5+5*x^4+4*x^3+4*x^2+x+1)/(x^10-x^8-2*x^6+2*x^4+x^2-1) ogf_with_Euler_transform] A294842 8.79502 [-(2*x^5+9*x^4+14*x^3+14*x^2+5*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A294843 8.41825 [-(3*x^5+13*x^4+19*x^3+18*x^2+6*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A294844 8.78865 [-(4*x^5+17*x^4+24*x^3+22*x^2+7*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A294845 8.95702 [-(5*x^5+21*x^4+29*x^3+26*x^2+8*x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A294846 10.6118 [-(-x^3-3*x^2-2*x-1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A294924 11.5730 [-(-54*x^5+56*x^4+68*x^3+x+3)/(18*x^6-x^5-17*x^4+x^2-1) lgdogf] A294924 17.8187 [(18*x^5+17*x^4+x+1)/(x-1)^2 ogf] A294958 12.5068 [-(-4*x^2+2*x-1)/(x^4-4*x^3+6*x^2-4*x+1) ogf_with_Euler_transform] A294959 7.79792 [-(4*x^6+10*x^5+17*x^4+10*x^3+2*x^2+x+1)/(-x^8+4*x^6-6*x^4+4*x^2-1) ogf_with_Euler_transform] A294972 8.38359 [-(x^7-x^6+4*x^5-41*x^4-127*x^3-41*x^2-4*x-1)/(x^4-16*x^2+1)/(x^4+16*x^2+1) ogf] A294973 11.2529 [-(x^2-3*x-1)*(x^4+32*x^2+1)/(x^4-16*x^2+1)/(x^4+16*x^2+1) ogf] A295045 10.1415 [-(x^3-2*x-3)/(x^4-x^3-x^2-2*x+1) ogf] A295045 5.03427 [-(3845*f(x)+2833)*(f(x)*x^4-f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+f(x)-2*x-3) ogf] A295046 4.20871 [-(x^8+x^7-x^6+2*x^5-4*x^4-7*x^3-5*x^2+4*x+5)/(x^9-x^7+3*x^6-6*x^5-2*x^4-3*x^3+4*x^2+3*x-1) ogf] A295054 5.66439 [-(x^16-x^15+x^6-x^5+x^4+x^3-4*x^2+2*x-1)/(x^2+x-1)/(x-1)^3 ogf] A295064 5.39007 [(x^12-x^11+x^3-x-1)/(2*x-1)/(4*x^2+2*x+1)/(x-1)^2 ogf] A295065 4.62006 [(x^11-x^10+x^5-3*x^4+3*x^3-x-1)/(2*x-1)/(4*x^2+2*x+1)/(x-1)^2 ogf] A295072 7.83117 [(x^24-x^20-x^10-x^4+1)/(x-1)/(x^23+x^22+x^21+2*x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+2*x^10+x^9+x^8+x^7+x^6+x^5+x^4-1) ogf] A295073 5.47060 [(x-1)*(x^4+x^3+x^2+x+1)*(x^30+x^29+x^24+x^20+x^19+x^14-1)/(x^34+x^31-x^30+x^25+x^21-x^20+x^15-x^14-x^5-x+1) ogf] A295077 5.06147 [-(f(x)-324)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+7*x^3-5*f(x)*x-2*x^2+f(x)-x) ogf] A295077 8.27700 [-(-28*x^3+5*x^2+18*x-7)/(-14*x^4+25*x^3-11*x^2-x+1) lgdogf] A295077 9.63760 [-x*(7*x^2-2*x-1)/(2*x-1)/(x-1)^3 ogf] A295081 6.69707 [(x^2+x-1)*(x^14-x^13-x^2-x+1)/(x-1)/(3*x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3-x^2-2*x+1) ogf] A295086 9.14242 [-(-2*x^4-5*x^3-9*x^2-4*x-1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A295089 14.5702 [-(-5*x^2-6*x-7)/(-5*x^3+7*x^2-5*x+3) lgdogf] A295089 15.2868 [-(5*x^2-2*x+3)/(x-1)^3 ogf] A295089 8.03874 [(972*f(x)-1031)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)-2*x+3) ogf] A295089 8.25215 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=17} ogf] A295091 8.48299 [-(x^4+x^3-2*x^2-3*x-2)/(x^2+x+1)/(x^3-x^2-2*x+1) ogf] A295112 12.7799 [-(-3*x^2-6*x+1)/(-3*x^3+x^2+3*x-1) lgdogf] A295112 4.15185 [{(n+4)*a(n+4)+(-10-3*n)*a(n+3)+(4-n)*a(n+2)+(6+3*n)*a(n+1),a(0)=-1,a(1)=-1,a(2)=1,a(3)=5} ogf] A295112 7.36859 [-f(x)^2*x^4+4*f(x)^2*x^3-6*f(x)^2*x^2+4*f(x)^2*x-f(x)^2-3*x^2-2*x+1 ogf] A295115 4.01898 [-(x^9+x^8-4*x^7-10*x^6-6*x^5+5*x^4+9*x^3+8*x^2+6*x+3)/(x^10-5*x^8-8*x^7-x^6+7*x^5+7*x^4+5*x^3+3*x^2+x-1) ogf] A295121 8.53755 [-(-3*x^4-7*x^3-12*x^2-5*x-1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A295122 8.50122 [-(-4*x^4-9*x^3-15*x^2-6*x-1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A295123 8.85390 [-(-5*x^4-11*x^3-18*x^2-7*x-1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A295130 12.8283 [-(130*x^2+892*x+514)/(65*x^3+189*x^2-189*x-65) lgdogf] A295130 12.9993 [3*(65*x^2+254*x+65)/(x-1)^4 ogf] A295130 4.39166 [{(65*n+260)*a(n+4)+(53+189*n)*a(n+3)+(-1270-189*n)*a(n+2)+(-195-65*n)*a(n+1),a(0)=195,a(1)=1542,a(2)=5193,a(3)=12300} ogf] A295130 6.58749 [(188288*f(x)+111202011)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-195*x^2+f(x)-762*x-195) ogf] A295133 4.01829 [(x^9-x^8+4*x^3-7*x^2+3*x-1)/(3*x-1)/(x-1)^2 ogf] A295134 3.50245 [(x^8-x^7+3*x^3-6*x^2+3*x-1)/(3*x-1)/(x-1)^2 ogf] A295135 3.50245 [(x^7-x^6+2*x^3-5*x^2+3*x-1)/(3*x-1)/(x-1)^2 ogf] A295136 3.91438 [(x^6-x^5+x^3-4*x^2+3*x-1)/(3*x-1)/(x-1)^2 ogf] A295137 4.88046 [(x^6+3*x^2-2*x+1)/(3*x-1)/(x-1) ogf] A295140 3.81880 [-(x^17+x^14+x^13-3*x^11-3*x^10-x^9-x^8-2*x^7-x^6-x^5-2*x^4-2*x^3-x^2+2*x+1)/(x+1)/(3*x^2-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A295143 4.72747 [(x^8-x^7+3*x^3-5*x^2+2*x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A295144 5.21366 [(x^10-x^9+2*x^3-3*x^2+x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A295168 11.2192 [-(10*x^2+2*x+1)/(5*x-1)/(2*x-1)^2 ogf] A295168 5.88548 [(15096*f(x)-11195)*(20*f(x)*x^3-24*f(x)*x^2+9*f(x)*x+10*x^2-f(x)+2*x+1) ogf] A295168 6.18989 [{a(n+3)-9*a(n+2)+24*a(n+1)-20*a(n),a(0)=1,a(1)=11,a(2)=85} ogf] A295168 8.25318 [-(100*x^3+90*x^2+6*x-11)/(100*x^4-50*x^3+6*x^2-5*x+1) lgdogf] A295179 14.3175 [-(-x^2-x-1)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A295180 11.0939 [-(4*x^4+6*x^3+7*x^2+3*x+1)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A295200 7.75133 [-(2*x^4+x^3-3*x^2-x-1)/(2*x-1)/(x^4-x^2-1) ogf] A295247 7.57384 [-(x^4+x^3-x^2-3*x-4)/(x+1)/(x^4-x^3-3*x+1) ogf] A295270 3.42726 [-(x^9-x^7-11*x^6-17*x^5-6*x^4+13*x^3+28*x^2+19*x+7)/(x^10-x^9-x^8-12*x^7-9*x^6-x^5+17*x^4+20*x^3+10*x^2+2*x-1) ogf] A295286 5.61690 [x*(2*x^8+x^7+x^6+x^5+7*x^4+x^3+x^2+x+1)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295287 6.73919 [2*x^3*(3*x^4+x^3+x^2+x+2)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295288 10.7776 [-(-2*x^2+2*x-5)/(-2*x^3+3*x^2-3*x+1) lgdogf] A295288 11.1252 [-(x^2-x+1)/(2*x-1)^3 ogf] A295288 5.99797 [(244*f(x)-91)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+x^2-f(x)-x+1) ogf] A295288 6.05057 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=19} ogf] A295292 5.79767 [x*(3*x^7+3*x^6-x^5+5*x^4+3*x^3+3*x^2-x+1)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295293 6.08705 [2*x^2*(x^7-x^6+2*x^5+2*x^4+2*x^3+x+1)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295317 5.35453 [x^2*(x^8+x^7+x^6+x^5+7*x^4+x^3+x^2+x+2)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295318 6.87245 [2*x^4*(2*x^4+x^3+x^2+x+3)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295319 10.8513 [-45*(100*x^2+11*x+1)/(1000*x^2-1) ogf] A295319 6.69551 [{-a(n+3)+1000*a(n+1),a(0)=45,a(1)=495,a(2)=49500} ogf] A295319 6.84107 [-(11000*x^2+2200*x+11)/(100000*x^4+11000*x^3+900*x^2-11*x-1) lgdogf] A295319 7.23423 [(20*f(x)-891)*(1000*f(x)*x^2+4500*x^2-f(x)+495*x+45) ogf] A295320 5.67931 [x^3*(x^7-x^6+3*x^5+3*x^4+5*x^3-x^2+3*x+3)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295321 6.02881 [2*x^2*(x^7+x^6+2*x^4+2*x^3+2*x^2-x+1)/(x^2+1)^3/(x+1)^3/(x-1)^4 ogf] A295333 11.6691 [-(x^5-x^4+2*x^3+3*x^2+2*x+1)/(x^6+6*x^3-1) ogf] A295334 12.5966 [-(x^4-x^3+2*x^2+x+1)/(x^6+6*x^3-1) ogf] A295336 6.33448 [-(x^7-x^6+2*x^5-13*x^4-15*x^3-13*x^2-2*x-1)/(x^8-30*x^4+1) ogf] A295337 7.14616 [-(x^2-x-1)*(x^4+8*x^2+1)/(x^8-30*x^4+1) ogf] A295340 10.9094 [-(-2*x^3-6*x^2-39*x-13)/(-2*x^4-2*x^3-9*x^2+2*x+11) lgdogf] A295340 14.6045 [(2*x^2+2*x+11)/(x+1)/(x-1)^2 ogf] A295340 7.30225 [(478910*f(x)+15348131)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x-11) ogf] A295340 7.87372 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=11,a(1)=13,a(2)=26} ogf] A295346 7.15871 [-(x^5-5*x^3-3*x^2-4*x+3)/(x^2-3*x+1)/(x^4+2*x^3+x^2+x-1) ogf] A295363 4.51324 [(13*x^13-17*x^12-7*x^11+11*x^10+4*x^5-8*x^4+x^3+5*x^2-x+1)/(x^2+x-1)/(x-1)^3 ogf] A295367 5.28361 [(16*x^16-20*x^15-10*x^14+14*x^13+5*x^4-14*x^3+12*x^2-2*x+1)/(x^2+x-1)/(x-1)^3 ogf] A295374 3.60133 [-(x^9+2*x^8-x^7+3*x^6+x^5-11*x^4-5*x^3-3*x^2+4*x+5)/(x^10+x^9-2*x^8+5*x^7-3*x^6-8*x^5+x^4-3*x^3+4*x^2+3*x-1) ogf] A295382 16.4861 [-(-x-1)/(-x^2+2*x-1) lgdegf] A295382 5.57277 [{(n^2+4*n+4)*a(n+1)+(-2*n-3)*a(n+2)+a(n+3),a(0)=1,a(1)=-1,a(2)=-2} ogf] A295383 5.49697 [{(-16*n^2-48*n-36)*a(n+1)+(-n-2)*a(n+2),a(0)=1,a(1)=-4} ogf] A295388 7.83877 [(x^6+2*x^5+5*x^4+8*x^3+35*x^2+14*x+7)/(x-1)^4/(x+1)^4 ogf] A295404 20.3077 [-x^2+f(x)-f(x)^2+f(x)^3*x ogf] A295411 4.21468 [-(22*x^7+50*x^6-11*x^5-67*x^4-18*x^3-18*x^2-12*x-4)/(22*x^8+34*x^7-33*x^6-49*x^5-3*x^4-28*x^3-6*x+1) ogf] A295420 5.15866 [-(x-1)*(3*x^7+7*x^6+3*x^5+11*x^4+5*x^3+25*x^2+9*x+1)/(x^3+x^2-x+1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A295432 2.91201 [{(124416*n^4+746496*n^3+1657152*n^2+1612224*n+579462)*a(n+1)+(-72*n^4-468*n^3-1126*n^2-1187*n-462)*a(n+2),a(0)=1,a(1)=462} ogf] A295473 12.1022 [-f(x)*(f(x)*x-f(x)+9*x) egf] A295473 24.6217 [-9*x/(x-1) egf] A295473 29.7512 [1/(-x+1) lgdegf] A295473 9.03835 [{(-n-1)*a(n)+a(n+1),a(0)=0,a(1)=9} ogf] A295518 4.04130 [{(2*n+4)*a(n+1)+(-3*n-9)*a(n+2)+(n+6)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=14} ogf] A295519 3.72291 [{(3*n+6)*a(n+1)+(-4*n-12)*a(n+2)+(n+7)*a(n+3)-a(n+4),a(0)=0,a(1)=1,a(2)=5,a(3)=22} ogf] A295525 6.83878 [-(x^5+2*x^4+x^3-5*x^2-6*x-2)/(x^6+x^5-5*x^3-2*x^2-2*x+1) ogf] A295541 20.141 [x-1-2*f(x)+6*f(x)^2-3*f(x)^3 ogf] A295541 6.55473 [{(81*n^2-9)*a(n)+(-90*n^2-135*n-45)*a(n+1)+(-7*n^2-21*n-14)*a(n+2),a(0)=1,a(1)=-1,a(2)=3} ogf] A295619 10.3480 [-(3*x^3+2*x^2-x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295619 5.7739 [(2*f(x)-85)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+3*x^3-f(x)*x+2*x^2+f(x)-x-1) ogf] A295622 8.25641 [-(3*x^4+6*x^3-20*x^2-26*x-11)/(x^5+x^4-6*x^3-4*x^2+5*x+3) lgdogf] A295622 8.78909 [-(x^3+x^2-5*x-3)/(x+1)^2/(x-1)^4 ogf] A295643 10.4923 [-x^4*(x^4+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A295643 27.7514 [-x^7+3*x^3+1 ogf_with_Euler_transform] A295643 8.68720 [-(-5*x^7-x^6-x^5-x^4-13*x^3-x^2-x-1)/(-x^8+1) lgdogf] A295671 14.1638 [(3*x^3-1)/(x^2+1)/(x^2+x-1) ogf] A295671 6.51078 [{-a(n+4)+a(n+3)+a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=-1} ogf] A295671 7.2733 [-(3*f(x)-8)*(f(x)*x^4+f(x)*x^3-3*x^3+f(x)*x-f(x)+1) ogf] A295671 8.68104 [-(3*x^6-10*x^3+6*x^2-1)/(3*x^7+3*x^6+2*x^4-4*x^3-x+1) lgdogf] A295672 13.8754 [(4*x^3-1)/(x^2+1)/(x^2+x-1) ogf] A295672 6.93768 [-(75*f(x)-118)*(f(x)*x^4+f(x)*x^3-4*x^3+f(x)*x-f(x)+1) ogf] A295672 8.50426 [-(4*x^6-12*x^3+9*x^2-1)/(4*x^7+4*x^6+3*x^4-5*x^3-x+1) lgdogf] A295673 11.4685 [(5*x-4)*(x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A295673 6.08715 [-(9127*f(x)-39653)*(f(x)*x^4+f(x)*x^3-5*x^3+f(x)*x-x^2-f(x)-x+4) ogf] A295674 11.3345 [-(3*x^3+2*x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A295674 7.04578 [f(x)*(f(x)*x^4+f(x)*x^3+3*x^3+f(x)*x+2*x^2-f(x)+x+1) ogf] A295675 12.0756 [(5*x^3-x^2-1)/(x^2+1)/(x^2+x-1) ogf] A295675 6.59589 [-(5*f(x)+6)*(f(x)*x^4+f(x)*x^3-5*x^3+f(x)*x+x^2-f(x)+1) ogf] A295676 12.1516 [(7*x^3-2*x^2-1)/(x^2+1)/(x^2+x-1) ogf] A295676 6.4742 [-(62*f(x)-109)*(f(x)*x^4+f(x)*x^3-7*x^3+f(x)*x+2*x^2-f(x)+1) ogf] A295677 12.3631 [(8*x^3-3*x^2-1)/(x^2+1)/(x^2+x-1) ogf] A295677 6.69666 [(4417*f(x)+272)*(f(x)*x^4+f(x)*x^3-8*x^3+f(x)*x+3*x^2-f(x)+1) ogf] A295678 11.8686 [-(x^3-x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A295678 6.44828 [-(107*f(x)+363)*(f(x)*x^4+f(x)*x^3+x^3+f(x)*x-x^2-f(x)+x+1) ogf] A295678 7.58269 [-(-x^6+2*x^5-2*x^4-4*x^3-7*x^2+2*x-2)/(-x^7-3*x^4+x^3-2*x^2+1) lgdogf] A295680 11.5230 [-(-4*x^3-3*x^2-1)/(-x^4-x^3-x+1) lgdogf] A295680 17.4125 [-2*x^3/(x^2+1)/(x^2+x-1) ogf] A295680 9.67363 [-f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x+f(x) ogf] A295681 12.5119 [-x*(2*x^2-x+1)/(x^2+1)/(x^2+x-1) ogf] A295681 6.66616 [{a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=2} ogf] A295681 6.77727 [-(2*f(x)+27)*(f(x)*x^4+f(x)*x^3+2*x^3+f(x)*x-x^2-f(x)+x) ogf] A295681 8.13272 [-(4*x^5-x^4+2*x^3+x^2+4*x)/(2*x^6+x^5+3*x^3-3*x^2+2*x-1) lgdogf] A295682 12.5119 [-x*(x^2-2*x+2)/(x^2+1)/(x^2+x-1) ogf] A295682 6.66616 [{a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=0,a(3)=1} ogf] A295682 6.66617 [-(29*f(x)+113)*(f(x)*x^4+f(x)*x^3+x^3+f(x)*x-2*x^2-f(x)+2*x) ogf] A295682 8.13272 [-(-2*x^5+5*x^4-4*x^3-5*x^2-2*x)/(-x^6+x^5-3*x^3+3*x^2-4*x+2) lgdogf] A295683 11.8404 [(x^3+x^2+x-2)/(x^2+1)/(x^2+x-1) ogf] A295683 6.53589 [-(19*f(x)-25)*(f(x)*x^4+f(x)*x^3-x^3+f(x)*x-x^2-f(x)-x+2) ogf] A295684 11.7866 [(2*x^3-x^2+2*x-2)/(x^2+1)/(x^2+x-1) ogf] A295684 6.83422 [(3*f(x)-5)*(f(x)*x^4+f(x)*x^3-2*x^3+f(x)*x+x^2-f(x)-2*x+2) ogf] A295685 12.9413 [(2*x^3+x-2)/(x^2+1)/(x^2+x-1) ogf] A295685 6.41805 [-(62074*f(x)-86185)*(f(x)*x^4+f(x)*x^3-2*x^3+f(x)*x-f(x)-x+2) ogf] A295686 11.6547 [(3*x^3-x^2+x-2)/(x^2+1)/(x^2+x-1) ogf] A295686 6.53801 [(160*f(x)-409)*(f(x)*x^4+f(x)*x^3-3*x^3+f(x)*x+x^2-f(x)-x+2) ogf] A295687 13.2437 [(x-1)*(2*x^2+2*x+1)/(x^2+1)/(x^2+x-1) ogf] A295687 6.78878 [-(256*f(x)-403)*(f(x)*x^4+f(x)*x^3-2*x^3+f(x)*x-f(x)+x+1) ogf] A295687 7.69395 [-(-2*x^6+3*x^4+10*x^3-3*x^2+2)/(-2*x^7-2*x^6+x^5+3*x^3+x^2-1) lgdogf] A295688 13.0018 [(x+2)*(x-1)/(x^2+1)/(x^2+x-1) ogf] A295688 6.55462 [-(1516*f(x)-1057)*(f(x)*x^4+f(x)*x^3+f(x)*x-x^2-f(x)-x+2) ogf] A295688 7.62605 [-(2*x^5+4*x^4-6*x^3-7*x^2+2*x-1)/(x^6+2*x^5-x^4-x^3-3*x+2) lgdogf] A295689 11.8942 [(3*x^3-2*x^2+2*x-2)/(x^2+1)/(x^2+x-1) ogf] A295689 6.83916 [(9*f(x)-19)*(f(x)*x^4+f(x)*x^3-3*x^3+f(x)*x+2*x^2-f(x)-2*x+2) ogf] A295690 12.4287 [(2*x^3+x^2-2)/(x^2+1)/(x^2+x-1) ogf] A295690 6.78878 [(203*f(x)-320)*(f(x)*x^4+f(x)*x^3-2*x^3+f(x)*x-x^2-f(x)+2) ogf] A295691 14.2378 [(3*x^3-2)/(x^2+1)/(x^2+x-1) ogf] A295691 6.54479 [{a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=2,a(1)=2,a(2)=2,a(3)=1} ogf] A295691 7.18189 [(2095*f(x)-5641)*(f(x)*x^4+f(x)*x^3-3*x^3+f(x)*x-f(x)+2) ogf] A295691 8.72639 [-(-3*x^6+14*x^3-3*x^2+2)/(-3*x^7-3*x^6-x^4+5*x^3+2*x-2) lgdogf] A295717 10.3459 [-(5*x^3+x^2-2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295717 5.45638 [-(390*f(x)+3973)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+5*x^3-f(x)*x+x^2+f(x)-2*x-1) ogf] A295718 10.4655 [-(6*x^3+2*x^2-2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295718 5.75604 [(13*f(x)-243)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+6*x^3-f(x)*x+2*x^2+f(x)-2*x-1) ogf] A295719 11.4607 [-(x-1)*(3*x^2+3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295719 5.85771 [-(58*f(x)-47)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+3*x^3-f(x)*x+f(x)-2*x-1) ogf] A295720 10.2386 [-(3*x^3-2*x^2-3*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295720 5.39982 [(181954*f(x)+96139)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+3*x^3-f(x)*x-2*x^2+f(x)-3*x-1) ogf] A295721 10.2986 [-(7*x^3-4*x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295721 5.58446 [(454*f(x)+1681)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+7*x^3-f(x)*x-4*x^2+f(x)-3*x+1) ogf] A295722 10.8822 [(2*x^3+6*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295722 5.47863 [-(15467*f(x)+17507)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*x^3-f(x)*x-6*x^2+f(x)+1) ogf] A295723 11.0911 [-x*(2*x+1)*(x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295723 6.04214 [(5*f(x)+21)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+2*x^3-f(x)*x-x^2+f(x)-x) ogf] A295723 7.36043 [-(-8*x^5+2*x^4+12*x^3+x^2-2*x-2)/(-4*x^6-2*x^5+10*x^4+x^3-6*x^2+1) lgdogf] A295724 11.7340 [x^2*(x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295724 6.27633 [(6*f(x)+1)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x-x^2+f(x)) ogf] A295724 8.70588 [-(-6*x^4-12*x^3-3*x^2+6*x+2)/(-2*x^5-4*x^4+x^3+4*x^2-1) lgdogf] A295725 11.3022 [x^2*(2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295725 6.04535 [(f(x)-1)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*x^3-f(x)*x+x^2+f(x)) ogf] A295725 8.66500 [-(12*x^4-12*x^2+6*x-1)/(4*x^5+2*x^4-8*x^3+x^2+3*x-1) lgdogf] A295726 10.8131 [x*(x+1)*(3*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295726 5.84708 [(90*f(x)+43)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-3*x^3-f(x)*x-2*x^2+f(x)+x) ogf] A295726 7.58997 [-(-12*x^5-18*x^4+9*x^2+1)/(-6*x^6-10*x^5+7*x^4+11*x^3-4*x^2-3*x+1) lgdogf] A295727 10.3959 [-(5*x^3-3*x^2-2*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295727 5.7589 [(45*f(x)+92)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+5*x^3-f(x)*x-3*x^2+f(x)-2*x+1) ogf] A295728 10.5625 [(5*x^3-x^2-2*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295728 5.60904 [-(202*f(x)-527)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-5*x^3-f(x)*x+x^2+f(x)+2*x-1) ogf] A295729 10.0624 [-(2*x^3-4*x^2-x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295729 5.57414 [(13*f(x)+15)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+2*x^3-f(x)*x-4*x^2+f(x)-x+1) ogf] A295730 10.4197 [-(x^3-3*x^2-x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295730 6.9767 [-2*f(x)*x^4-2*f(x)*x^3+3*f(x)*x^2-x^3+f(x)*x+3*x^2-f(x)+x-1 ogf] A295731 10.9626 [(2*x^3+4*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295731 5.88433 [(103*f(x)+55)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*x^3-f(x)*x-4*x^2+f(x)+1) ogf] A295732 10.8629 [(3*x^3+3*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295732 5.66424 [-(570*f(x)-61)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-3*x^3-f(x)*x-3*x^2+f(x)+1) ogf] A295733 12.3434 [x*(5*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295733 6.21953 [(118*f(x)-201)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-5*x^3-f(x)*x+f(x)+x) ogf] A295734 11.2031 [x^2*(3*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295734 5.64242 [-(130*f(x)-407)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-3*x^3-f(x)*x+x^2+f(x)) ogf] A295734 8.49463 [-(18*x^4+4*x^3-15*x^2+6*x-2)/(6*x^5+4*x^4-11*x^3+4*x-1) lgdogf] A295735 10.6636 [x*(4*x^2+x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295735 5.56031 [{-a(n+4)+a(n+3)+3*a(n+2)-2*a(n+1)-2*a(n),a(0)=0,a(1)=-1,a(2)=0,a(3)=1} ogf] A295735 5.85296 [(f(x)-3)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-4*x^3-f(x)*x-x^2+f(x)+x) ogf] A295736 10.3331 [(11*x^3-3*x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295736 5.40929 [-(8174*f(x)-11217)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-11*x^3-f(x)*x+3*x^2+f(x)+3*x-1) ogf] A295737 10.3722 [(8*x^3-3*x^2-2*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295737 5.54623 [-(69*f(x)-776)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-8*x^3-f(x)*x+3*x^2+f(x)+2*x-1) ogf] A295774 10.7502 [[4-2*x] ogf_with_Euler_transform] A295774 3.22282 [-f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1 ogf] A295774 4.31736 [(x+1)^2/(x-1)^2 ogf] A295774 7.15062 [4/(-x^2+1) lgdogf] A295776 6.86869 [-(2*x^4-x^3+3*x^2+9*x+5)/(2*x^5-3*x^4+6*x^3+3*x^2+2*x-1) ogf] A295777 3.47945 [-(x+1)*(2*x^8-2*x^7-7*x^6+92*x^5-29*x^4+20*x^3+55*x^2-9*x-8)/(2*x^10-2*x^9-7*x^8+92*x^7-29*x^6+20*x^5+58*x^4-6*x^3-6*x^2-4*x+1) ogf] A295821 11.3084 [-(8*x^2+10*x+6)/(-x^5+x^4+6*x^3-5*x-1) lgdogf] A295821 11.7930 [-2*(x^3-x^2-5*x-1)/(x+1)/(x-1)^2 ogf] A295821 6.11489 [{-a(n+4)+a(n+3)+a(n+2)-a(n+1),a(0)=2,a(1)=12,a(2)=16,a(3)=24} ogf] A295821 6.55167 [-(3*f(x)+250)*(f(x)*x^3-f(x)*x^2+2*x^3-f(x)*x-2*x^2+f(x)-10*x-2) ogf] A295822 9.82999 [-2*(x^5-7*x^3-11*x^2-8*x-1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A295828 16.1580 [-(-6*x-2)/(-x^3+3*x^2-3*x+1) ogf_with_Euler_transform] A295831 11.4927 [-(-x^5-x^4-x^3-2*x^2-x-1)/(x^8-2*x^4+1) ogf_with_Euler_transform] A295832 12.0627 [-(x^5+x^4+2*x^3+2*x^2+1)/(-x^8+2*x^4-1) ogf_with_Euler_transform] A295838 4.07918 [{a(n+2)-257*a(n+1)+256*a(n),a(0)=0,a(1)=126} ogf] A295838 5.45982 [-256*f(x)*x^2+257*f(x)*x-f(x)+126*x ogf] A295838 8.25323 [126*x/(256*x-1)/(x-1) ogf] A295841 4.69875 [(399655*f(x)+696108)*(8*f(x)*x^4-6*f(x)*x^3+f(x)*x^2+8*x^3-3*f(x)*x+2*x^2+f(x)-5*x-2) ogf] A295841 8.97035 [-(2*x+1)*(4*x^2-x-2)/(8*x^4-6*x^3+x^2-3*x+1) ogf] A295842 4.02832 [-(2*x^8+7*x^7+11*x^6-3*x^4-26*x^3-16*x^2+13*x+4)/(2*x^9+5*x^8+6*x^7-6*x^6+3*x^5-30*x^4+12*x^3+x^2+4*x-1) ogf] A295850 11.6278 [-x^2*(x-2)/(2*x^2-1)/(x^2+x-1) ogf] A295850 5.98746 [-(13*f(x)+8)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+x^3-f(x)*x-2*x^2+f(x)) ogf] A295850 8.10424 [-(-6*x^4+12*x^3+15*x^2-12*x-1)/(-2*x^5+2*x^4+7*x^3-5*x^2-3*x+2) lgdogf] A295851 10.9626 [x*(2*x^2+3*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295851 5.84138 [(467*f(x)+357)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-2*x^3-f(x)*x-3*x^2+f(x)+x) ogf] A295852 12.0549 [(6*x^2-1)/(2*x^2-1)/(x^2+x-1) ogf] A295852 5.98144 [-(59*f(x)+92)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x-6*x^2+f(x)+1) ogf] A295853 10.2231 [-(2*x+1)*(x^2-5*x+2)/(2*x^2-1)/(x^2+x-1) ogf] A295853 5.50476 [-(11*f(x)+27)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+2*x^3-f(x)*x-9*x^2+f(x)-x+2) ogf] A295854 10.8328 [(x^3+10*x^2-2)/(2*x^2-1)/(x^2+x-1) ogf] A295854 5.34416 [-(1024922*f(x)+2396799)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x-10*x^2+f(x)+2) ogf] A295855 10.5821 [(7*x^3+x^2-3*x+1)/(2*x^2-1)/(x^2+x-1) ogf] A295855 5.58095 [-(506*f(x)+1161)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-7*x^3-f(x)*x-x^2+f(x)+3*x-1) ogf] A295856 11.2291 [-x^2*(2*x-3)/(2*x^2-1)/(x^2+x-1) ogf] A295856 5.86974 [(97*f(x)+316)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+2*x^3-f(x)*x-3*x^2+f(x)) ogf] A295856 7.67136 [-(12*x^4-16*x^3-24*x^2+18*x+1)/(4*x^5-2*x^4-12*x^3+7*x^2+5*x-3) lgdogf] A295857 11.5454 [x^2*(x+2)/(2*x^2-1)/(x^2+x-1) ogf] A295857 5.81483 [-(846*f(x)+325)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-x^3-f(x)*x-2*x^2+f(x)) ogf] A295857 8.12890 [-(-6*x^4-20*x^3-9*x^2+12*x+3)/(-2*x^5-6*x^4-x^3+7*x^2+x-2) lgdogf] A295858 10.1569 [-(3*x^3-6*x^2-2*x+2)/(2*x^2-1)/(x^2+x-1) ogf] A295858 5.43112 [(8500*f(x)+16999)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+3*x^3-f(x)*x-6*x^2+f(x)-2*x+2) ogf] A295859 10.2986 [-(4*x^3-7*x^2-2*x+2)/(2*x^2-1)/(x^2+x-1) ogf] A295859 5.54541 [-(19*f(x)+40)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+4*x^3-f(x)*x-7*x^2+f(x)-2*x+2) ogf] A295860 10.1818 [-(x-1)*(3*x+2)*(2*x-1)/(2*x^2-1)/(x^2+x-1) ogf] A295860 5.44446 [-(53*f(x)+107)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2+6*x^3-f(x)*x-5*x^2+f(x)-3*x+2) ogf] A295861 11.1991 [(7*x^2+x-2)/(2*x^2-1)/(x^2+x-1) ogf] A295861 5.55925 [-(3095*f(x)+4883)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-f(x)*x-7*x^2+f(x)-x+2) ogf] A295867 4.83435 [3*x*(x^13+3*x^12+8*x^11+33*x^10+25*x^9+39*x^8+35*x^7+45*x^6+72*x^5+23*x^4+20*x^3+10*x^2+7*x+3)/(x^4+x^3+x^2+x+1)^3/(x-1)^4 ogf] A295869 9.90079 [(x^4+18*x^3+18*x^2+36*x+17)/(x^2+1)/(x+1)/(x-1)^2 ogf] A295873 8.34809 [-(x^2-3*x+1)^2/(x-1)/(x^4-4*x^3+10*x^2-6*x+1) ogf] A295903 5.54182 [-(4*x^7-92*x^6-113*x^5+24*x^4+95*x^3-20*x^2-4*x-2)/(2*x-1)^2/(x+1)^2/(x-1)^4 ogf] A295904 12.6325 [-2*(x^2-6*x+3)/(x-1)^2/(2*x-1) ogf] A295904 6.87033 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=6,a(1)=12,a(2)=20} ogf] A295904 6.93113 [(f(x)-28)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+2*x^2-f(x)-12*x+6) ogf] A295904 9.21433 [-(-2*x^3+22*x^2-22*x+6)/(-2*x^4+15*x^3-25*x^2+15*x-3) lgdogf] A295905 13.1386 [-(-9*x^2-16*x-5)/(-9*x^3+10*x^2-3*x+2) lgdogf] A295905 14.2156 [-(9*x^2-x+2)/(x-1)^3 ogf] A295905 7.22624 [(40700*f(x)-110793)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+9*x^2-f(x)-x+2) ogf] A295905 7.67388 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=18} ogf] A295906 13.2940 [-(4*x^2+18*x+8)/(4*x^3+x^2-4*x-1) lgdogf] A295906 13.9373 [-2*(x+1)*(4*x+1)/(x-1)^3 ogf] A295906 7.26145 [(5050*f(x)-34971)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+8*x^2-f(x)+10*x+2) ogf] A295906 7.57993 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=16,a(2)=50} ogf] A295909 7.35653 [-2*(2*x^5-2*x^4-3*x^3+x^2-1)/(2*x+1)/(2*x-1)/(x+1)/(x-1)^3 ogf] A295910 7.30956 [-(4*x^5-4*x^4-5*x^3+4*x^2-x-4)/(2*x+1)/(2*x-1)/(x+1)/(x-1)^3 ogf] A295911 10.2397 [-(-21*x^2+48*x-25)/(-21*x^3+52*x^2-39*x+8) lgdogf] A295911 15.9285 [-(7*x-8)/(3*x-1)/(x-1) ogf] A295911 8.14524 [(52*f(x)+209)*(3*f(x)*x^2-4*f(x)*x+f(x)+7*x-8) ogf] A295911 8.63593 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=8,a(1)=25} ogf] A295913 5.49967 [(1922*f(x)+2271)*(2*f(x)*x^4-3*f(x)*x^2+2*x^3-2*f(x)*x+2*x^2+f(x)-3*x-5) ogf] A295913 9.96317 [-(2*x^3+2*x^2-3*x-5)/(2*x^4-3*x^2-2*x+1) ogf] A295914 5.98594 [-(x^5-3*x^4-7*x^3+3*x^2+12*x+8)/(x+1)/(x^5-5*x^4+2*x^3+4*x^2+3*x-1) ogf] A295921 5.25470 [{-a(n+5)+5*a(n+4)-8*a(n+3)+4*a(n+2),a(0)=4,a(1)=16,a(2)=25,a(3)=57,a(4)=129} ogf] A295921 5.71496 [(5921*f(x)-16149)*(4*f(x)*x^3-20*x^4-8*f(x)*x^2+44*x^3+5*f(x)*x-23*x^2-f(x)-4*x+4) ogf] A295921 9.78688 [(20*x^4-44*x^3+23*x^2+4*x-4)/(x-1)/(2*x-1)^2 ogf] A295922 5.79910 [-(96*x^5-236*x^4+223*x^3-100*x^2+22*x-2)/(4*x-1)/(x-1)/(2*x-1)^4 ogf] A295925 4.18065 [-3*(x+1)*(7*x^4+82*x^3+237*x^2+92*x+2)/(x-1)^9 ogf] A295926 10.8203 [(32*x^3-148*x^2+184*x-69)/(x-1)/(2*x-1)^2 ogf] A295926 5.83827 [{a(n+4)-5*a(n+3)+8*a(n+2)-4*a(n+1),a(0)=69,a(1)=161,a(2)=401,a(3)=961} ogf] A295926 6.10164 [(6393*f(x)+105931)*(4*f(x)*x^3-8*f(x)*x^2-32*x^3+5*f(x)*x+148*x^2-f(x)-184*x+69) ogf] A295926 7.65584 [-(-168*x^3+492*x^2-486*x+161)/(64*x^5-392*x^4+844*x^3-838*x^2+391*x-69) lgdogf] A295932 11.4510 [-(48*x^2-51*x+17)/(x-1)/(3*x-1)/(8*x-1) ogf] A295932 5.85664 [(48412259*f(x)+54912156)*(24*f(x)*x^3-35*f(x)*x^2+12*f(x)*x+48*x^2-f(x)-51*x+17) ogf] A295932 6.13775 [-(1152*x^4-2448*x^3+2433*x^2-1094*x+153)/(1152*x^5-2904*x^4+2769*x^3-1255*x^2+255*x-17) lgdogf] A295932 6.34065 [{a(n+3)-12*a(n+2)+35*a(n+1)-24*a(n),a(0)=17,a(1)=153,a(2)=1289} ogf] A295933 14.1599 [-(x^2+12*x-8)/(3*x-1)/(x-1) ogf] A295933 7.35226 [{a(n+3)-4*a(n+2)+3*a(n+1),a(0)=8,a(1)=20,a(2)=55} ogf] A295933 7.57064 [-(73*f(x)+184)*(3*f(x)*x^2-4*f(x)*x+x^2+f(x)+12*x-8) ogf] A295933 9.80301 [-(-40*x^2+50*x-20)/(-3*x^4-32*x^3+71*x^2-44*x+8) lgdogf] A295937 6.26698 [-(4*x^5+8*x^4+8*x^3-5*x^2-6*x-2)/(4*x^6+4*x^5+4*x^4-9*x^3-x^2-x+1) ogf] A295938 4.01884 [-(10*x^8+15*x^7-8*x^6-49*x^5-51*x^4-20*x^3+17*x^2+12*x+3)/(10*x^9+5*x^8-13*x^7-36*x^6-19*x^5+x^4+18*x^3+3*x^2+x-1) ogf] A295979 5.72369 [-(4*x^5+8*x^4+14*x^3+x^2-3*x-1)/(4*x^6+4*x^5+10*x^4-9*x^3+2*x^2-3*x+1) ogf] A295980 3.33670 [-(x^9+15*x^8+18*x^7+38*x^6-2*x^5-42*x^4-57*x^3-14*x^2+11*x+1)/(x^10+14*x^9+4*x^8+33*x^7-34*x^6-12*x^5-44*x^4+21*x^3-2*x^2+4*x-1) ogf] A295986 7.91368 [-(64*x^6-112*x^5+64*x^4-17*x^2+7*x-1)/(2*x-1)^4 ogf] A296000 8.54772 [(x+1)*(x-1)^2/(x^9-x^8+x^3+x^2-4*x+1) ogf] A296001 9.40582 [-(x-1)^3/(x^9-x^8+3*x^2-5*x+1) ogf] A296003 9.73695 [2*(x+1)*(x-1)^2/(x^9-x^8+x^4-3*x+1) ogf] A296005 9.86844 [(x+2)*(x-1)^2/(x^10-x^9+2*x^3-x^2-3*x+1) ogf] A296014 3.72354 [-(x^9+8*x^8+13*x^7+7*x^6-26*x^5-35*x^4-11*x^3+8*x^2+10*x+3)/(x^10+7*x^9+6*x^8+x^7-27*x^6-11*x^5-3*x^4+11*x^3+3*x^2+x-1) ogf] A296033 9.45269 [-(4*x^4+4*x^3+6*x^2+4*x+1)/(4*x^5+6*x^3+x-1) ogf] A296034 3.57884 [-(2*x^10+5*x^9-6*x^8-28*x^7-19*x^6+25*x^5+34*x^4+14*x^3-8*x^2-9*x-1)/(2*x^11+3*x^10-9*x^9-19*x^8+23*x^6+12*x^5+7*x^4-11*x^3-x^2-2*x+1) ogf] A296046 23.9181 [1/(-x^3-x^2+x+1) ogf_with_Euler_transform] A296047 7.94546 [-(-x^4-x^2+x-1)/(-x^7-x^6-x^5-x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A296063 10.3287 [-(x^2+1)/(x-1)/(x+1)^2 ogf] A296063 20.2015 [[-x^3+3*x-1] ogf_with_Euler_transform] A296063 5.25656 [{a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=3} ogf] A296063 6.9263 [f(x)*x^3+f(x)*x^2-f(x)*x+x^2-f(x)+1 ogf] A296063 9.81225 [-(x^3-x^2+5*x-1)/(x^4-1) lgdogf] A296064 7.21956 [-x*(2*x^4-x^3-4*x^2+3*x+2)/(x-1)/(x+1)^2 ogf] A296065 5.67271 [x*(2*x^4-x^3-4*x^2+3*x+2)/(x-1)^2/(x+1)^2 ogf] A296066 11.4778 [-f(x)*x^2+x^3-x^2+f(x)-x ogf] A296066 12.3440 [x*(x^2-x-1)/(x-1)/(x+1) ogf] A296066 6.95994 [{a(n+4)-a(n+2),a(0)=0,a(1)=1,a(2)=1,a(3)=0} ogf] A296066 9.62109 [-(-x^2-1)/(x^4-x^3-2*x^2+x+1) lgdogf] A296069 7.40141 [x*(2*x^4+x^3-4*x^2-3*x-2)/(x-1)/(x+1)^2 ogf] A296070 9.62436 [-x*(2*x^4+x^3-4*x^2-3*x-2)/(x-1)^2/(x+1)^2 ogf] A296086 12.8977 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296086 32.0488 [1/(x-1)^2 ogf] A296086 37.7718 [2/(-x+1) lgdogf] A296086 81.1285 [[2] ogf_with_Euler_transform] A296102 6.02172 [-(9*x^8+8*x^7-24*x^5-50*x^4+8*x^3-12*x^2-3)/(x^3+x^2-x+1)/(x^3+x^2+3*x-1)/(x^3-x^2-x-1) ogf] A296109 6.27484 [-(4*x^5+10*x^4+8*x^3+x^2-x-1)/(4*x^6+6*x^5+2*x^4-5*x^3-2*x^2-x+1) ogf] A296124 4.45624 [-(x+1)*(x^7-x^6-x^5-3*x^4+15*x^3+19*x^2-9*x-1)/(x^9-x^8-x^7-3*x^6+14*x^5+18*x^4-5*x^3-x^2-3*x+1) ogf] A296141 8.69803 [-x^2*(x^3+x^2-x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A296159 8.69803 [-x^3*(x^3-x^2+x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A296160 8.12088 [-x^3*(x^4+x^3+x^2+x+2)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A296161 8.41955 [-x*(2*x^4+x^3+x^2+x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A296185 16.6813 [-(x+15)/(x^2+6*x-7) lgdogf] A296185 17.0289 [16*(x+7)/(x-1)^2 ogf] A296185 9.08206 [(f(x)+113)*(f(x)*x^2-2*f(x)*x+f(x)-16*x-112) ogf] A296185 9.50448 [{-a(n+2)+2*a(n+1)-a(n),a(0)=112,a(1)=240} ogf] A296189 3.8765 [(110151*f(x)+321857)*(3072*f(x)*x^4-1984*f(x)*x^3+9216*x^4+432*f(x)*x^2-5952*x^3-36*f(x)*x+1328*x^2+f(x)-80*x) ogf] A296189 6.59004 [-16*x*(576*x^3-372*x^2+83*x-5)/(16*x-1)/(12*x-1)/(4*x-1)^2 ogf] A296193 4.78534 [x*(4320*x^9-576*x^8-6162*x^7+650*x^6+1845*x^5-660*x^4-288*x^3+45*x^2+15*x+1)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x+1)/(4*x+1)/(x+1) ogf] A296196 10.3111 [2*x*(x^2-x-3)/(x-1)^5 ogf] A296196 13.1665 [-(-3*x^2+2*x+16)/(-x^3+2*x^2+2*x-3) lgdogf] A296196 4.32232 [{(-9-3*n)*a(n+4)+(20+2*n)*a(n+3)+(2*n+4)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=6,a(2)=32,a(3)=98} ogf] A296197 10.1558 [x*(x+2)*(x^2-2*x-1)/(x+1)/(x-1)^5 ogf] A296197 9.03978 [-(-3*x^4-4*x^3+22*x^2+32*x+13)/(-x^5+6*x^3+2*x^2-5*x-2) lgdogf] A296198 6.88809 [x*(x^5-3*x^3-3*x^2-6*x-1)/(x+1)^3/(x-1)^5 ogf] A296200 7.34392 [(2*x^4-x^3-9*x^2-3*x-1)/(x+1)^3/(x-1)^5 ogf] A296221 10.3794 [-(x-1)/(x^10-x^9+x^3+x^2-4*x+1) ogf] A296223 8.47106 [(x-1)*(2*x^2-1)/(x^8-x^7+x^3+x^2-4*x+1) ogf] A296225 9.27939 [(x^2-x+1)/(x^11-x^10+x^3+x^2-4*x+1) ogf] A296227 10.3564 [(x^2-3*x+1)/(x^7-x^6+3*x^2-5*x+1) ogf] A296253 6.27741 [(27*x^14-56*x^13+29*x^12+7*x^5-15*x^4+6*x^3+3*x^2+1)/(x^2+x-1)/(x-1)^3 ogf] A296255 6.08719 [(29*x^15-60*x^14+31*x^13+7*x^5-14*x^4+2*x^3+9*x^2-4*x+2)/(x^2+x-1)/(x-1)^3 ogf] A296256 5.99634 [(21*x^11-44*x^10+23*x^9+12*x^5-28*x^4+13*x^3+10*x^2-8*x+3)/(x^2+x-1)/(x-1)^3 ogf] A296267 5.32125 [(16*x^15-33*x^14+28*x^13-23*x^12+12*x^11+5*x^5-9*x^4-x^3+7*x^2-x+1)/(x^2+x-1)/(x-1)^3 ogf] A296277 5.96044 [(18*x^17-22*x^16-12*x^15+16*x^14+10*x^5-19*x^4+16*x^2-8*x+3)/(x^2+x-1)/(x-1)^3 ogf] A296278 4.37064 [{(n+7)*a(n+1)+3*a(n+2)+(-2*n-11)*a(n+3)+(n+4)*a(n+4),a(0)=1,a(1)=2,a(2)=63,a(3)=185} ogf] A296278 7.05436 [(23*x^5-87*x^4+118*x^3-62*x^2+3*x-1)/(x^2+x-1)/(x-1)^4 ogf] A296279 4.59541 [{(-n-6)*a(n)-3*a(n+1)+(2*n+9)*a(n+2)+(-n-3)*a(n+3),a(0)=1,a(1)=3,a(2)=44,a(3)=167} ogf] A296279 6.59178 [(20*x^6-58*x^5+37*x^4+32*x^3-38*x^2+2*x-1)/(x^2+x-1)/(x-1)^4 ogf] A296309 7.78256 [-(2*x^5+2*x^4+x^3-3*x^2-3*x-1)/(2*x^6+x^4-4*x^3-x+1) ogf] A296315 4.13603 [-(x^10+x^9-3*x^8-3*x^7+2*x^6-2*x^5-4*x^4+2*x^3+9*x^2+8*x+3)/(x^3-x^2-1)/(x^8+x^7-2*x^6-x^5+x^4-4*x^3-5*x^2-x+1) ogf] A296322 5.13799 [-(x^7-x^6+x^5-x^4-2*x^3-2*x^2-3*x-1)/(x^2+1)/(x^6-2*x^5+2*x^4-2*x^3-2*x+1) ogf] A296329 7.41683 [-(x^4+3*x^3+5*x^2+5*x+3)/(x^5+2*x^4+3*x^3+2*x^2+x-1) ogf] A296330 4.43647 [-(x^8+x^7-2*x^6-5*x^5-5*x^4+x^3+6*x^2+9*x+5)/(x^2+x+1)/(x^7-x^6-2*x^5+2*x^2+3*x-1) ogf] A296337 6.52142 [-(2*x^14+x^12-2*x^11-2*x^10+4*x^9-x^8-4*x^7-4*x^5-4*x^4-4*x^3-x^2-2*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A296361 4.45629 [-2*(13*x^10-32*x^9+8*x^8+35*x^7-26*x^6-16*x^5+34*x^4-10*x^3-33*x^2+28*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A296363 11.0402 [-(-x^3+x^2+10*x+38)/(-x^4+3*x^3+7*x-9) lgdogf] A296363 4.89206 [{(407*n^2+1169*n)*a(n)+(-430*n^2+554*n+2508)*a(n+1)+(23*n^2-571*n-594)*a(n+2),a(0)=0,a(1)=18} ogf] A296363 5.30503 [(825984*f(x)+15925721)*(f(x)*x^4-4*f(x)*x^3+2*x^4+6*f(x)*x^2-4*x^3-4*f(x)*x-4*x^2+f(x)-18*x) ogf] A296363 9.96310 [-2*x*(x^3-2*x^2-2*x-9)/(x-1)^4 ogf] A296367 8.96256 [4*x*(5*x^4+18*x^3+29*x^2+26*x+12)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A296368 9.03775 [-(x^6-x^5-2*x^4-4*x^2-x-1)/(x^2+1)/(x-1)^2 ogf] A296376 7.91941 [(3*x^4+16*x^3-127*x^2-16*x-2)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A296377 10.3275 [-(x-1)*(x^2+8*x+1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A296377 5.91404 [(156074688*f(x)+5891591)*(f(x)*x^4-254*f(x)*x^2+x^3+7*x^2+f(x)-7*x-1) ogf] A296380 5.52574 [-(x^2-x-1)*(x^5-x^4+2*x^3+2*x+2)/(x^8-3*x^7+5*x^6-6*x^5+6*x^4-6*x^3+x^2-3*x+1) ogf] A296388 7.56786 [-(x^13-x^11-x^10-4*x^9+x^8-x^7+3*x^6+4*x^5-2*x^4-3*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A296390 4.58766 [-(x^8+x^7-4*x^6-4*x^5+3*x^4+x^3+x^2+4*x+2)/(x^9-4*x^7-x^6+4*x^5-x^4+2*x^3+2*x^2+x-1) ogf] A296399 4.28729 [-(x^8-x^7-3*x^6-2*x^5+x^4-5*x^3-3*x^2+x+1)/(x^2-3*x+1)/(x^7+x^6+x^5+2*x^3-1) ogf] A296420 7.42396 [-(x^9+10*x^8+5*x^7+10*x^6+5*x^5+2*x^4+5*x^3+10*x^2+5*x+10)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A296515 13.7098 [-(-3*x-3)/(-x^3+1) lgdogf] A296515 24.0014 [[-x^2+3] ogf_with_Euler_transform] A296515 4.86477 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=6} ogf] A296515 8.60317 [-f(x)*(-x^4+f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)) ogf] A296515 9.88905 [x^2*(x^2+x+1)/(x-1)^2 ogf] A296518 8.18759 [-(2*x^13+3*x^12+2*x^11-2*x^10-x^9-9*x^8-4*x^7+5*x^4-2*x^3-2*x^2-x-3)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A296536 3.46352 [-(x^11+5*x^10+7*x^9-6*x^7-4*x^6-8*x^5-12*x^4-5*x^3-7*x^2-3*x-1)/(x^3+x^2+1)/(x^9+3*x^8-4*x^6-2*x^5+x^4-4*x^3-2*x+1) ogf] A296550 9.54335 [-(x^6+x^5+2*x^3+2*x^2+1)/(x^7+2*x^4+x-1) ogf] A296551 6.25648 [-(x^9+x^8+3*x^6+4*x^5+x^4+3*x^3+3*x^2+1)/(x+1)/(x^2-x+1)/(x^7+2*x^4+x^3+x-1) ogf] A296552 4.16347 [-(x^12+x^11+4*x^9+6*x^8+2*x^7+6*x^6+9*x^5+4*x^4+5*x^3+4*x^2+1)/(x^13+4*x^10+2*x^9+6*x^7+3*x^6+x^5+4*x^4+x-1) ogf] A296572 4.48262 [-(x^8-7*x^6-6*x^5+3*x^4+3*x^3+4*x^2+7*x+4)/(x^9-x^8-6*x^7-x^6+4*x^5+x^4+3*x^3+4*x^2+x-1) ogf] A296579 8.86871 [16*(x^5+3*x^4+5*x^3+8*x^2+8*x+7)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A296582 4.46315 [-(x^8-4*x^7-7*x^6-4*x^5-3*x^4-10*x^3-8*x^2+3)/(x^9-5*x^8-2*x^7-3*x^6-8*x^4-x^3+x^2+3*x-1) ogf] A296593 5.56838 [-(x^7+2*x^6-x^4-4*x^2-5*x-2)/(x^8+x^7-x^6-x^4-4*x^3-x^2-3*x+1) ogf] A296602 10.0869 [-(2*x^13-2*x^12+2*x^9-2*x^8+2*x^5-2*x^4+2*x^3+11*x^2-11*x-4)/(x-1)^2 ogf] A296618 15.3912 [-(-1-4*x)/(-4*x+1) lgdegf] A296618 4.59440 [{(-4*n-8)*a(n+1)+(-4*n-9)*a(n+2)+a(n+3),a(0)=1,a(1)=1,a(2)=9} ogf] A296626 4.05515 [-(-3*x-2)/(-2*x^2+1) ogf_with_Euler_transform] A296636 10.3998 [x*(13*x^3+11*x^2+8*x+7)/(x-1)^4/(x+1)^4 ogf] A296636 8.87044 [-(-65*x^4-66*x^3-95*x^2-78*x-8)/(-13*x^5-11*x^4+5*x^3+4*x^2+8*x+7) lgdogf] A296645 5.90530 [-(4*x^5+16*x^4+16*x^3-5*x^2-8*x-4)/(4*x^6+12*x^5+4*x^4-9*x^3-3*x^2-x+1) ogf] A296646 3.27384 [-(2*x^9+15*x^8+20*x^7+16*x^6-8*x^5-55*x^4-54*x^3+11*x^2+15*x+7)/(2*x^10+13*x^9+7*x^8+9*x^7-17*x^6-42*x^5-12*x^4+18*x^3+6*x^2+2*x-1) ogf] A296660 16.1861 [-(-2-8*x)/(-4*x+1) lgdegf] A296660 4.72586 [{(-8*n-16)*a(n+1)+(-4*n-10)*a(n+2)+a(n+3),a(0)=1,a(1)=2,a(2)=20} ogf] A296661 3.72723 [{(9*n+18)*a(n+1)-9*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=15} ogf] A296665 4.14878 [{(-16*n^2-56*n-48)*a(n+1)+(8*n^2+30*n+24)*a(n+2)+(-n^2-4*n-3)*a(n+3),a(0)=1,a(1)=4,a(2)=20} ogf] A296665 5.11493 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+32*f(x)*x^2+f(x)^2-16*f(x)*x-16*x^2+2*f(x)+12*x-3 ogf] A296668 6.48517 [-(4*x^5+16*x^4+22*x^3+5*x^2-x-3)/(4*x^6+12*x^5+10*x^4-5*x^3-3*x+1) ogf] A296682 5.92273 [-(4*x^5-4*x^4-6*x^3-9*x^2-6*x-2)/(4*x^6-8*x^5+2*x^4-11*x^3+x^2-3*x+1) ogf] A296716 10.7376 [(x^4+16*x^3+2*x^2+4*x+7)/(x^2+1)/(x+1)/(x-1)^2 ogf] A296719 11.0221 [-3*(2*x^2+2*x+1)/(6*x^3+2*x^2+x-1) ogf] A296719 5.74659 [-(13*f(x)+21)*(6*f(x)*x^3+2*f(x)*x^2+f(x)*x+6*x^2-f(x)+6*x+3) ogf] A296719 5.95001 [{-a(n+3)+a(n+2)+2*a(n+1)+6*a(n),a(0)=3,a(1)=9,a(2)=21} ogf] A296720 3.74304 [-(2*x^9+5*x^8-3*x^7-20*x^6-23*x^5+7*x^4+32*x^3+9*x^2-6*x-5)/(x-1)/(2*x^9+5*x^8-x^7-15*x^6-24*x^5-10*x^4+9*x^3+5*x^2+2*x-1) ogf] A296726 3.61196 [{(n^3+6*n^2+12*n+8)*a(n+1)+(-n^2-4*n-4)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=7} ogf] A296727 4.00372 [{(-n^3-6*n^2-12*n-8)*a(n+1)+(n^2+4*n+4)*a(n+2)+(-n-4)*a(n+3)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=5} ogf] A296733 6.51620 [-(2*x^2+x+2)*(6*x^3+2*x^2-2*x-1)/(12*x^6-2*x^5+12*x^4-8*x^3+x^2-3*x+1) ogf] A296766 9.00644 [-(3*x^56+11718*x^55-61*x+62)/(192*x^56-189*x^55-x^2+2*x-1) ogf] A296769 4.58134 [{(-16*n-56)*a(n+1)+(8*n+30)*a(n+2)+(-n-4)*a(n+3),a(0)=1,a(1)=7,a(2)=38} ogf] A296769 5.22613 [-64*f(x)^2*x^4+48*f(x)^2*x^3-12*f(x)^2*x^2+f(x)^2*x+16*f(x)*x^2-8*f(x)*x+f(x)-1 ogf] A296770 4.49101 [64*f(x)^2*x^4-48*f(x)^2*x^3+12*f(x)^2*x^2+32*f(x)*x^3-f(x)^2*x-32*f(x)*x^2+10*f(x)*x+4*x^2-f(x)-4*x+1 ogf] A296771 5.01701 [-64*f(x)^2*x^3+48*f(x)^2*x^2-12*f(x)^2*x+16*f(x)*x^2+f(x)^2-8*f(x)*x-16*x^2+f(x)+11*x-2 ogf] A296775 13.3472 [-(x-1)^3/(2*x+1) ogf] A296775 14.7375 [-(4*x+5)/(-2*x^2+x+1) lgdogf] A296775 7.21839 [{a(n+4)+2*a(n+3),a(0)=1,a(1)=-5,a(2)=13,a(3)=-27} ogf] A296775 7.60647 [-(2005*f(x)-1053)*(x^3+2*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A296779 3.86576 [-16*x*(x^8+14*x^7+73*x^6+160*x^5+224*x^4+160*x^3+73*x^2+14*x+1)/(x+1)^5/(x-1)^7 ogf] A296786 6.53614 [(x^13-x^12-x^11-2*x^10-4*x^9+5*x^8+2*x^7+5*x^6+x^5-2*x^4+3*x^3+x^2+2*x+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A296795 9.21407 [-(11*x^5+13*x^4+14*x^3-22*x^2-14*x-13)/(x^6-4*x^3+1) ogf] A296796 10.0614 [3*(4*x^4+5*x^3+11*x^2+5*x+4)/(x^6-4*x^3+1) ogf] A296798 5.54448 [-(2*x+1)*(8*x^4+10*x^3+3*x^2-2*x-2)/(2*x^3+x^2-1)/(8*x^3+2*x^2+x-1) ogf] A296805 8.81945 [-2*x^2*(x^4+2*x^2-x+1)/(x^2+1)^2/(x+1)^2/(x-1)^3 ogf] A296817 10.3193 [-(x^2+14*x+9)/(-x^3-5*x^2+5*x+1) lgdogf] A296817 10.9960 [-(x-1)^3/(x^2+6*x+1) ogf] A296817 5.73296 [{a(n+4)+6*a(n+3)+a(n+2),a(0)=1,a(1)=-9,a(2)=56,a(3)=-328} ogf] A296817 6.21071 [-(154*f(x)-39)*(f(x)*x^2+x^3+6*f(x)*x-3*x^2+f(x)+3*x-1) ogf] A296819 7.26698 [x*(4*x^4+7*x^3+9*x^2+3*x+1)/(x+1)^3/(x-1)^4 ogf] A296821 6.19015 [-(8*x^5+18*x^4+12*x^3-3*x^2-3*x-1)/(8*x^6+10*x^5+2*x^4-5*x^3-3*x+1) ogf] A296876 62.8448 [[2] ogf_with_Euler_transform] A296876 7.59181 [-(7*x^62+14*x^61+6*x^2+3*x+1)/(21*x^62-14*x^61-6*x^4+9*x^3-x^2-x-1) ogf] A296879 24.8459 [1/(x-1)^2 ogf] A296879 29.2827 [2/(-x+1) lgdogf] A296879 62.8448 [[2] ogf_with_Euler_transform] A296879 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296879 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296882 24.8459 [1/(x-1)^2 ogf] A296882 29.2827 [2/(-x+1) lgdogf] A296882 62.8448 [[2] ogf_with_Euler_transform] A296882 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296882 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296885 24.8459 [1/(x-1)^2 ogf] A296885 29.2827 [2/(-x+1) lgdogf] A296885 62.8448 [[2] ogf_with_Euler_transform] A296885 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296885 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296888 24.8459 [1/(x-1)^2 ogf] A296888 29.2827 [2/(-x+1) lgdogf] A296888 62.8448 [[2] ogf_with_Euler_transform] A296888 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296888 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296891 24.8459 [1/(x-1)^2 ogf] A296891 29.2827 [2/(-x+1) lgdogf] A296891 62.8448 [[2] ogf_with_Euler_transform] A296891 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296891 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296894 24.8459 [1/(x-1)^2 ogf] A296894 29.2827 [2/(-x+1) lgdogf] A296894 62.8448 [[2] ogf_with_Euler_transform] A296894 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296894 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296897 24.8459 [1/(x-1)^2 ogf] A296897 29.2827 [2/(-x+1) lgdogf] A296897 62.8448 [[2] ogf_with_Euler_transform] A296897 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296897 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296900 24.8459 [1/(x-1)^2 ogf] A296900 29.2827 [2/(-x+1) lgdogf] A296900 62.8448 [[2] ogf_with_Euler_transform] A296900 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296900 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296903 24.8459 [1/(x-1)^2 ogf] A296903 29.2827 [2/(-x+1) lgdogf] A296903 62.8448 [[2] ogf_with_Euler_transform] A296903 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296903 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296904 7.18717 [(144361*x^20-144359*x^19+152400*x-152781)/(2*x^19-381)/(x-1)^2 ogf] A296906 24.8459 [1/(x-1)^2 ogf] A296906 29.2827 [2/(-x+1) lgdogf] A296906 62.8448 [[2] ogf_with_Euler_transform] A296906 9.64606 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A296906 9.99896 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A296907 13.0150 [-(-3600*x+3602)/(-3600*x^2+7201*x-3601) lgdogf] A296907 16.0773 [-(3600*x-3601)/(x-1)^2 ogf] A296907 8.45301 [(f(x)+6483601)*(f(x)*x^2-2*f(x)*x+f(x)+3600*x-3601) ogf] A296907 9.31752 [{-a(n+2)+2*a(n+1)-a(n),a(0)=3601,a(1)=3602} ogf] A296909 8.12568 [(x^6-x^5-2*x^4-4*x^2-x-1)/(x^2+1)/(x-1)^3 ogf] A296910 11.6920 [-(2*x^4-5*x^3-x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A296910 6.71852 [-(50*f(x)-927)*(f(x)*x^3+2*x^4-f(x)*x^2-5*x^3-f(x)*x-x^2+f(x)-3*x-1) ogf] A296910 8.57410 [-(-2*x^5+2*x^4+2*x^3-22*x^2-8*x-4)/(2*x^6-5*x^5-3*x^4+2*x^3+3*x+1) lgdogf] A296911 12.5368 [(2*x^4-5*x^3-x^2-3*x-1)/(x+1)/(x-1)^3 ogf] A296911 7.09805 [-(138*f(x)-1055)*(f(x)*x^4-2*f(x)*x^3-2*x^4+5*x^3+2*f(x)*x+x^2-f(x)+3*x+1) ogf] A296911 9.85034 [-(-x^4-4*x^3-26*x^2-12*x-5)/(2*x^6-5*x^5-3*x^4+2*x^3+3*x+1) lgdogf] A296913 4.39930 [-120*x^2*(139*x^7+1693*x^6+7269*x^5+11905*x^4+7495*x^3+1641*x^2+97*x+1)/(x-1)^11 ogf] A296943 3.61999 [{(-n^2-n)*a(n)+(-4-n)*a(n+1)+(n^2+5*n+8)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=1,a(2)=4} ogf] A296946 11.0544 [-2*(6*x^3-2*x-1)/(12*x^4-8*x^3-2*x+1) ogf] A296946 5.90196 [(648*f(x)+1865)*(12*f(x)*x^4-8*f(x)*x^3+12*x^3-2*f(x)*x+f(x)-4*x-2) ogf] A296953 12.5627 [-(2*x^2+4*x-4)/(2*x^3-x^2-2*x+1) lgdogf] A296953 16.4084 [x*(x+1)/(2*x-1)/(x-1) ogf] A296953 7.96050 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=0,a(1)=1,a(2)=4} ogf] A296953 9.92605 [f(x)*(2*f(x)*x^2-3*f(x)*x-x^2+f(x)-x) ogf] A296954 10.8174 [-(10*x^2-4*x-2)/(8*x^4-14*x^3+9*x^2-4*x+1) lgdogf] A296954 14.0436 [x*(4*x^2-x+1)/(2*x-1)/(x-1) ogf] A296954 7.08393 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=8} ogf] A296954 8.60735 [-f(x)*(2*f(x)*x^2-4*x^3-3*f(x)*x+x^2+f(x)-x) ogf] A296957 6.61802 [-(4*x^4-14*x^3-3*x^2+2*x+1)/(4*x^5-18*x^4+11*x^3-5*x^2+4*x-1) ogf] A296965 11.5644 [-(4*x^2-2)/(4*x^4-8*x^3+7*x^2-4*x+1) lgdogf] A296965 13.7961 [x*(2*x^2-x+1)/(2*x-1)/(x-1) ogf] A296965 6.95910 [{-a(n+4)+3*a(n+3)-2*a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=6} ogf] A296965 8.83571 [f(x)*(2*f(x)*x^2-2*x^3-3*f(x)*x+x^2+f(x)-x) ogf] A296968 7.53116 [-(2*x^4-2*x^3+2*x^2+3*x+1)/(2*x^5-4*x^4+6*x^3-x^2+2*x-1) ogf] A296984 6.77001 [-(2*x^2+x+1)*(2*x^3+2*x^2+x-1)/(4*x^6+2*x^5+4*x^4-3*x^3-x^2-2*x+1) ogf] A296996 4.50092 [x*(x^8-2*x^7-2*x^6-57*x^5-54*x^4-82*x^3-32*x^2-11*x-1)/(x+1)^4/(x-1)^7 ogf] A296997 5.99547 [-2*x*(x^6+x^5+32*x^4+82*x^3+93*x^2+29*x+2)/(x+1)^2/(x-1)^7 ogf] A297011 7.05360 [-(x^14-x^13+x^7-x^6+x^4+x^3+x^2-7*x+3)/(x^2+2*x-1)/(x-1)^2 ogf] A297028 10.0302 [-(36*x^2-150*x+43)/(12*x^3-75*x^2+43*x-1) ogf] A297028 4.70384 [(111594370696497*f(x)+30036138449012)*(12*f(x)*x^3-75*f(x)*x^2+43*f(x)*x+36*x^2-f(x)-150*x+43) ogf] A297028 5.54518 [{-a(n+3)+43*a(n+2)-75*a(n+1)+12*a(n),a(0)=43,a(1)=1699,a(2)=69868} ogf] A297037 7.91357 [-x^8*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^72+x^6-1) ogf] A297038 16.4316 [x^9+f(x)*x-f(x) ogf] A297038 25.4973 [-x^9/(x-1) ogf] A297038 30.8092 [1/(-x+1) lgdogf] A297038 4.65045 [{-a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=0,a(6)=0,a(7)=0,a(8)=0,a(9)=1} ogf] A297039 15.9776 [x^10+f(x)*x-f(x) ogf] A297039 24.4989 [-x^10/(x-1) ogf] A297039 30.6237 [1/(-x+1) lgdogf] A297040 15.8807 [x^11+f(x)*x-f(x) ogf] A297040 24.3504 [-x^11/(x-1) ogf] A297040 30.4380 [1/(-x+1) lgdogf] A297041 15.7839 [x^12+f(x)*x-f(x) ogf] A297041 24.2020 [-x^12/(x-1) ogf] A297041 30.2525 [1/(-x+1) lgdogf] A297042 15.687 [x^13+f(x)*x-f(x) ogf] A297042 24.0535 [-x^13/(x-1) ogf] A297042 30.0669 [1/(-x+1) lgdogf] A297043 15.5902 [x^14+f(x)*x-f(x) ogf] A297043 23.9050 [-x^14/(x-1) ogf] A297043 29.8812 [1/(-x+1) lgdogf] A297044 15.4934 [x^15+f(x)*x-f(x) ogf] A297044 23.7565 [-x^15/(x-1) ogf] A297044 29.6957 [1/(-x+1) lgdogf] A297045 23.1626 [-x^19/(x-1) ogf] A297045 28.9533 [1/(-x+1) lgdogf] A297046 17.2235 [-x^59/(x-1) ogf] A297046 21.5294 [1/(-x+1) lgdogf] A297047 12.0171 [x*(x^2+2*x+2)/(2*x^2+3*x-1)/(x^2+x-1) ogf] A297047 6.45548 [(62135*f(x)-339)*(2*f(x)*x^4+5*f(x)*x^3-x^3-4*f(x)*x-2*x^2+f(x)-2*x) ogf] A297047 6.67619 [-(-4*x^5-17*x^4-36*x^3-34*x^2+2*x+10)/(-2*x^6-9*x^5-14*x^4-6*x^3+7*x^2+6*x-2) lgdogf] A297054 13.5962 [-(x^2-x+1)/(-x+1) ogf_with_Euler_transform] A297064 3.93480 [-2*(x^12+2*x^11-6*x^9-9*x^8-x^7+12*x^6+7*x^5-6*x^4-6*x^3+x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^3+x^2-1)^3 ogf] A297067 6.72800 [-(8*x^4+12*x^3+5*x^2+2*x-3)/(8*x^5+4*x^4+x^3+x^2-4*x+1) ogf] A297079 6.05892 [-2*(2*x^5+9*x^4+14*x^3+5*x^2-2*x-2)/(4*x^6+14*x^5+14*x^4-4*x^3-4*x^2-2*x+1) ogf] A297088 6.62373 [-(4*x^4-10*x^3-7*x^2-x+4)/(4*x^5-14*x^4+3*x^3-2*x^2+4*x-1) ogf] A297096 6.94585 [-2*(2*x^5+2*x^4+4*x^3-x^2-2)/(4*x^6+8*x^4-6*x^3+2*x^2-4*x+1) ogf] A297107 7.90250 [-(54*x^12+48*x^11+168*x^10+24*x^9+84*x^8+12*x^7+48*x^6+30*x^5+36*x^4+22*x^3+12*x^2+6*x+1)/(2*x^3-1) ogf] A297123 4.60009 [-(1024*x^6+29243*x^5+135139*x^4+137524*x^3+29044*x^2+665*x+1)/(x-1)^7 ogf] A297151 3.97617 [{(-64*n^2-224*n-192)*a(n+1)+(16*n^2+52*n+36)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=7,a(2)=100} ogf] A297151 4.06503 [4096*f(x)^2*x^4-2048*f(x)^2*x^3+384*f(x)^2*x^2-512*f(x)*x^3-32*f(x)^2*x+128*f(x)*x^2+72*x^3+f(x)^2-8*f(x)*x+7*x^2 ogf] A297151 9.44987 [4*(-216*x-37+12*(1-8*x)^(1/2))/(72*x+7)/(-1+8*x) lgdogf] A297180 11.8931 [-(6*x^3-x^2-x-1)/(x-1)/(7*x^3-1) ogf] A297180 6.5129 [-(77*f(x)+129)*(7*f(x)*x^4-7*f(x)*x^3+6*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A297180 7.19847 [-(42*x^6-14*x^5-14*x^4-2*x^3+2*x^2+2*x+2)/(42*x^7-49*x^6-6*x^4+14*x^3-1) lgdogf] A297181 9.05452 [-(10*x^5-x^4-x^3-x^2-x-1)/(x-1)/(11*x^5-1) ogf] A297182 8.60443 [-(12*x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)/(13*x^6-1) ogf] A297189 10.5979 [-x*(3*x^3+2*x^2-3*x-1)/(9*x^4-8*x^2+1) ogf] A297189 6.5879 [(2085*f(x)+1496)*(9*f(x)*x^4+3*x^4-8*f(x)*x^2+2*x^3-3*x^2+f(x)-x) ogf] A297217 12.8120 [-(4*x^4-4*x^3+4*x^2-3*x+3)/(x-1) ogf] A297217 8.58828 [(f(x)-3)*(4*x^4-4*x^3+f(x)*x+4*x^2-f(x)-3*x+3) ogf] A297219 10.8425 [-(4*x^2+5*x+3)/(4*x^3+4*x^2+x-1) ogf] A297219 5.65294 [-(69*f(x)-79)*(4*f(x)*x^3+4*f(x)*x^2+f(x)*x+4*x^2-f(x)+5*x+3) ogf] A297219 5.85304 [{-a(n+3)+a(n+2)+4*a(n+1)+4*a(n),a(0)=3,a(1)=8,a(2)=24} ogf] A297220 6.81478 [-(2*x^2+2*x+1)*(x+2)^2/(x^5+6*x^4+11*x^3+6*x^2+x-1) ogf] A297221 3.35236 [-(x^8-13*x^7+47*x^6-35*x^5-58*x^4+17*x^3+53*x^2+27*x+6)/(x^3-x^2-2*x-1)/(x^6-3*x^5+7*x^4-19*x^3-11*x^2-3*x+1) ogf] A297231 7.77849 [-x^10/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A297234 7.08932 [-x^11/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x^4-x^2+1)^2/(x-1)^3 ogf] A297237 7.31310 [-x^12/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A297240 6.71289 [-x^13/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2/(x^6-x^5+x^4-x^3+x^2-x+1)^2/(x-1)^3 ogf] A297266 4.46834 [-(8*x^27+7*x^26+6*x^24-5*x^21-7*x^20-6*x^18+4*x^17-5*x^15+3*x^12-4*x^11+6*x^6-x^5-x^4-x^3-x^2-x-10)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A297296 4.85237 [-(8*f(x)+15)*(2*f(x)*x^4+2*f(x)*x^3+x^4-2*f(x)*x^2+3*x^3-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A297296 8.56302 [-(x+1)*(x^3+2*x^2-x-1)/(2*x^4+2*x^3-2*x^2-2*x+1) ogf] A297297 5.41306 [-(x+1)*(2*x^6-2*x^5-9*x^4+2*x^3+8*x^2-x-1)/(x^8-x^7-4*x^6-4*x^5+2*x^4+8*x^3-4*x+1) ogf] A297300 7.73524 [-(x-1)*(x^2+1)^2/(x^4-2*x^3+x^2-2*x+1) ogf] A297309 4.04574 [-(2713*f(x)+1802)*(6*f(x)*x^4-3*f(x)*x^3-11*f(x)*x^2+7*x^3-3*f(x)*x-4*x^2+f(x)-11*x-4) ogf] A297309 7.63057 [-(7*x^3-4*x^2-11*x-4)/(6*x^4-3*x^3-11*x^2-3*x+1) ogf] A297310 3.72714 [(x^8-10*x^7+2*x^6+50*x^5-93*x^4-50*x^3+51*x^2+38*x+7)/(x^3+5*x^2+7*x-1)/(x^5-4*x^4+6*x^3-3*x-1) ogf] A297315 4.61382 [-(x^2-x-1)*(x^6+x^5-4*x^3-2*x^2-3*x-1)/(x^3-2*x^2+x-1)/(x^6+x^5-5*x^3-2*x^2-2*x+1) ogf] A297333 10.0839 [-(4*x^2+3*x-5)/(3*x^3+2*x^2-5*x+1) ogf] A297333 5.30274 [(611*f(x)-1721)*(3*f(x)*x^3+2*f(x)*x^2-5*f(x)*x+4*x^2+f(x)+3*x-5) ogf] A297333 5.39576 [{-a(n+3)+5*a(n+2)-2*a(n+1)-3*a(n),a(0)=5,a(1)=22,a(2)=96} ogf] A297334 6.33472 [-(x-1)*(4*x^3+13*x^2+3*x-8)/(x^5+3*x^4-4*x^3-10*x^2+8*x-1) ogf] A297335 3.56497 [-(16*x^7+40*x^6-291*x^5-24*x^4+243*x^3-46*x^2-48*x+13)/(2*x-1)/(x+1)/(8*x^5-34*x^4+15*x^3+29*x^2-13*x+1) ogf] A297339 8.23249 [-(x^4+x^3-2*x^2-4*x-4)/(x+1)/(x^4-x^3-x^2-2*x+1) ogf] A297349 5.36453 [(3051*f(x)-1030)*(24*f(x)*x^3-36*f(x)*x^2-29*f(x)*x+24*x^2+f(x)-12*x-1) ogf] A297349 5.49976 [{a(n+3)-29*a(n+2)-36*a(n+1)+24*a(n),a(0)=1,a(1)=41,a(2)=1201} ogf] A297349 5.69106 [-(-576*x^4+576*x^3-1056*x^2-24*x-41)/(-576*x^5+1152*x^4+288*x^3-408*x^2-17*x+1) lgdogf] A297349 9.91624 [-(24*x^2-12*x-1)/(24*x^3-36*x^2-29*x+1) ogf] A297369 11.8699 [-(6*x^2-x-8)/(4*x^3-7*x+1) ogf] A297369 5.87947 [-(108172*f(x)+128665)*(4*f(x)*x^3-7*f(x)*x+6*x^2+f(x)-x-8) ogf] A297369 6.04907 [-(-24*x^4+8*x^3+54*x^2+12*x-57)/(-24*x^5+4*x^4+74*x^3-13*x^2-55*x+8) lgdogf] A297369 6.48560 [{-a(n+3)+7*a(n+2)-4*a(n),a(0)=8,a(1)=57,a(2)=393} ogf] A297370 4.47112 [-(x^5-10*x^4-4*x^3+30*x^2-16)/(x-1)/(x^5-14*x^4+5*x^3+8*x^2+12*x-1) ogf] A297375 5.70419 [-(x^2+x+1)*(x^4-x^2-4)/(x^2+1)/(x^5+x^4-2*x^3-2*x^2-3*x+1) ogf] A297384 5.0742 [(42481*f(x)-14256)*(16*f(x)*x^4-52*f(x)*x^3+48*f(x)*x^2-13*f(x)*x+8*x^2+f(x)+8*x-4) ogf] A297384 9.80085 [-4*(2*x^2+2*x-1)/(4*x-1)/(x-1)/(4*x^2-8*x+1) ogf] A297390 4.65566 [(1051*f(x)+1134)*(4*f(x)*x^4-2*f(x)*x^3-4*f(x)*x^2+4*x^3-f(x)*x+2*x^2+f(x)-6*x-3) ogf] A297390 8.64623 [-(2*x+1)*(2*x^2-3)/(4*x^4-2*x^3-4*x^2-x+1) ogf] A297391 5.74997 [-(x^6+3*x^5+3*x^4+5*x^3-9*x-4)/(x^7+2*x^6+x^5+3*x^4-4*x^3-6*x^2-x+1) ogf] A297396 7.02732 [-(2*x^5+2*x^4-x^3-9*x^2-8*x-1)/(2*x^6-x^4-8*x^3-x^2-x+1) ogf] A297397 4.29971 [-(45*x^7+54*x^6+76*x^5+88*x^4+15*x^3-34*x^2-19*x-1)/(45*x^8+9*x^7+67*x^6+21*x^5-11*x^4-24*x^3-3*x^2-x+1) ogf] A297426 7.38633 [-(4*x^5+3*x^4-x^3-7*x^2-6*x-1)/(4*x^6-x^5-7*x^3-x+1) ogf] A297427 5.32157 [-(x^6+8*x^5+5*x^4-4*x^3-14*x^2-11*x-1)/(x^7+7*x^6-2*x^5-2*x^4-12*x^3-x+1) ogf] A297432 10.3375 [-(4*x^3+5*x^2+x+1)/(4*x^4+x^3+x-1) ogf] A297432 5.52936 [(511889*f(x)-548340)*(4*f(x)*x^4+f(x)*x^3+4*x^3+f(x)*x+5*x^2-f(x)+x+1) ogf] A297433 7.70698 [-(x^5-9*x^3-11*x^2-2*x-1)/(x^6-x^5-8*x^4-3*x^3-x+1) ogf] A297439 12.1179 [-(6*x^3+8*x^2-9*x-4)/(2*x^2-1)^2 ogf] A297439 7.57370 [-(-12*x^4-32*x^3+36*x^2+16*x+9)/(-12*x^5-16*x^4+24*x^3+16*x^2-9*x-4) lgdogf] A297439 7.57371 [(32*f(x)+873)*(4*f(x)*x^4-4*f(x)*x^2+6*x^3+8*x^2+f(x)-9*x-4) ogf] A297443 8.47714 [-(3*x^5-x^3-x^2-2*x-1)/(x-1)/(x^2+1)/(3*x^2-1) ogf] A297444 10.9624 [(9*x^3-6*x^2+2*x+1)/(x-1)/(3*x-1)/(3*x+1) ogf] A297444 5.68729 [{-a(n+4)+a(n+3)+9*a(n+2)-9*a(n+1),a(0)=1,a(1)=3,a(2)=6,a(3)=33} ogf] A297444 6.20009 [(-29+204*f(x))*(9*f(x)*x^3-9*f(x)*x^2-9*x^3-f(x)*x+6*x^2+f(x)-2*x-1) ogf] A297444 6.75365 [-(27*x^4+54*x^3-24*x^2-6*x-3)/(81*x^6-135*x^5+63*x^4+6*x^3-17*x^2+x+1) lgdogf] A297445 12.5640 [-(3*x^2-4*x-1)/(x-1)/(3*x-1)/(3*x+1) ogf] A297445 6.66441 [(272*f(x)+241)*(9*f(x)*x^3-9*f(x)*x^2-f(x)*x+3*x^2+f(x)-4*x-1) ogf] A297445 6.78235 [{-a(n+3)+a(n+2)+9*a(n+1)-9*a(n),a(0)=1,a(1)=5,a(2)=11} ogf] A297445 7.36929 [-(-27*x^4+72*x^3-12*x^2-12*x-5)/(-27*x^5+63*x^4-24*x^3-16*x^2+3*x+1) lgdogf] A297452 4.74609 [-(12*x^6+5*x^5+3*x^4-15*x^3-18*x^2+5)/(12*x^7-7*x^6+10*x^5-25*x^4+4*x^3-3*x^2+5*x-1) ogf] A297458 4.49837 [(639655*f(x)-2936508)*(4*f(x)*x^4+f(x)*x^3+3*f(x)*x^2+4*x^3+f(x)*x+5*x^2-f(x)+4*x+4) ogf] A297458 8.64623 [-(4*x^3+5*x^2+4*x+4)/(x^2+1)/(4*x^2+x-1) ogf] A297459 4.56490 [-(2*x^7+2*x^6+8*x^5-11*x^4-11*x^3+3*x^2-5*x+8)/(2*x^8+8*x^6-19*x^5+8*x^4-7*x^3+4*x^2+3*x-1) ogf] A297464 11.8871 [(x+1)*(2*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A297464 4.79654 [{(10*n+33)*a(n+1)+10*a(n+2)+10*a(n+3)+(-10*n-23)*a(n+4),a(0)=1,a(1)=4,a(2)=8,a(3)=11} ogf] A297464 6.56168 [(3520*f(x)+4623)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-4*x^2+f(x)-3*x-1) ogf] A297466 7.53027 [(4*x^8+3*x^7+3*x^6+3*x^5+4*x^4+3*x^3+3*x^2+4*x+3)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A297468 8.37930 [-(x^31-x^30+x^28-x^27+x^8-x^7+2*x-3)/(x-1)^2 ogf] A297470 7.56660 [-(4*x^4-6*x^3-2*x^2-9*x-2)/(2*x^5-2*x^4-4*x^3+x^2+2*x+1) lgdegf] A297474 9.86094 [-(-4*x^3+4*x^2-6*x-2)/(-4*x^3+2*x^2-2*x+1) lgdegf] A297476 7.30537 [-(40*x^4+16*x^3+42*x^2-8*x+5)/(8*x^5+4*x^4+14*x^3-4*x^2+5*x-1) ogf] A297507 7.27873 [-(8*x^4+14*x^3-3*x^2-7*x-1)/(8*x^5+6*x^4-9*x^3+2*x^2-3*x+1) ogf] A297508 3.28626 [-(12*x^9+9*x^8+21*x^7+80*x^6-18*x^5-136*x^4-77*x^3+22*x^2+26*x+1)/(12*x^10-3*x^9+24*x^8+56*x^7-74*x^6-65*x^5-15*x^4+32*x^3+x^2+3*x-1) ogf] A297514 4.34891 [-(64*x^8+24*x^7-8*x^6-124*x^5-58*x^4+4*x^3+26*x^2+14*x+3)/(64*x^9-8*x^8-124*x^6+6*x^5+30*x^3+2*x^2+x-1) ogf] A297520 10.0551 [-(12*x^3+12*x^2+4*x+1)/(12*x^4+4*x^3+x-1) ogf] A297520 5.656 [(4113*f(x)-1636)*(12*f(x)*x^4+4*f(x)*x^3+12*x^3+f(x)*x+12*x^2-f(x)+4*x+1) ogf] A297545 5.81109 [-(12*x^5+28*x^4+10*x^3-7*x^2+x-1)/(12*x^6+16*x^5-6*x^4-5*x^3+2*x^2-3*x+1) ogf] A297554 8.95092 [-(2*x+1)*(4*x^4-2*x^2-2*x-1)/(x-1)/(x+1)/(4*x^3-1) ogf] A297555 5.53 [-(308*f(x)+111)*(16*f(x)*x^4-16*f(x)*x^3-16*x^4+12*x^3-f(x)*x-4*x^2+f(x)-3*x-1) ogf] A297555 9.48977 [(16*x^4-12*x^3+4*x^2+3*x+1)/(x-1)/(16*x^3-1) ogf] A297556 10.9222 [-(4*x^3-x^2-5*x-1)/(x-1)/(16*x^3-1) ogf] A297556 5.57894 [-(63443337*f(x)+67015811)*(16*f(x)*x^4-16*f(x)*x^3+4*x^3-f(x)*x-x^2+f(x)-5*x-1) ogf] A297577 5.90128 [-(8*x^5+25*x^4+13*x^3-19*x^2-8*x-3)/(x-1)/(8*x^5+25*x^4+21*x^3+2*x^2-1) ogf] A297583 5.20645 [-(32227*f(x)-8902)*(2*f(x)*x^4+4*f(x)*x^3+2*x^3+f(x)*x+6*x^2-f(x)+4*x+1) ogf] A297583 9.80926 [-(2*x^3+6*x^2+4*x+1)/(2*x^4+4*x^3+x-1) ogf] A297584 4.50449 [-(x^7+13*x^6+23*x^5+10*x^4-19*x^3-26*x^2-8*x-1)/(x^8+12*x^7+11*x^6-x^5-18*x^4-8*x^3-x^2-x+1) ogf] A297590 5.96348 [-(8*x^5+16*x^4+4*x^3-10*x^2-6*x-3)/(x-1)/(8*x^5+16*x^4+12*x^3+2*x^2-1) ogf] A297591 4.00199 [-(x^8+5*x^7+7*x^6+x^5+13*x^4+13*x^3-12*x^2-9*x-4)/(x^9+4*x^8+3*x^7-3*x^6+13*x^5-3*x^4-10*x^3-6*x^2-x+1) ogf] A297596 5.33891 [-(6*x^6+14*x^5+8*x^4-7*x^3-15*x^2-8*x-1)/(6*x^7+8*x^6-7*x^4-8*x^3-x^2-x+1) ogf] A297608 6.33350 [-(12*x^5+12*x^4-12*x^3-12*x^2-7*x-4)/(12*x^6-12*x^4-4*x^3-3*x^2-x+1) ogf] A297619 12.2109 [-(12*x^2-4*x-2)/(4*x^3-2*x^2-2*x+1) lgdogf] A297619 17.6380 [8*x^2/(2*x-1)/(2*x^2-1) ogf] A297619 7.21553 [{a(n+3)-2*a(n+2)-2*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=8} ogf] A297619 9.79885 [-4*f(x)*x^3+2*f(x)*x^2+2*f(x)*x+8*x^2-f(x) ogf] A297638 5.85886 [-(24*x^5+52*x^4+22*x^3-x^2+4*x-4)/(3*x-1)/(8*x^5+12*x^4+2*x^3+x^2-1) ogf] A297655 5.64378 [-(12*x^5+24*x^4+18*x^3+15*x^2+7*x+1)/(12*x^6+12*x^5+6*x^4+13*x^3-2*x^2+3*x-1) ogf] A297661 8.19767 [-(4*x^5-9*x^4+2*x^3+7*x^2-8*x+3)/(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A297662 11.8532 [-(3*x^2+18*x+9)/(x^3+3*x^2-3*x-1) lgdogf] A297662 3.87164 [{(n+3)*a(n+4)+(-3+3*n)*a(n+3)+(-21-3*n)*a(n+2)+(-3-n)*a(n+1),a(0)=0,a(1)=3,a(2)=27,a(3)=108} ogf] A297662 9.17211 [-3*x*(x^2+4*x+1)/(x-1)^5 ogf] A297663 13.0649 [(9*x^2-3*x-1)/(x-1)^2/(2*x-1) ogf] A297663 7.05272 [(3*f(x)-101)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-9*x^2-f(x)+3*x+1) ogf] A297663 7.05272 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=7,a(2)=14} ogf] A297663 9.83898 [-(-18*x^3-6*x^2+21*x-7)/(-18*x^4+33*x^3-16*x^2+1) lgdogf] A297665 8.99619 [(5*x^4-6*x^3+5*x^2+2*x-3)/(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A297667 8.11462 [-(6*x^5-11*x^4-2*x^3+21*x^2-24*x+9)/(x^2-x+1)/(x^2+x-1)/(x-1)^2 ogf] A297670 3.22965 [{(-n^2-9*n-20)*a(n+1)+(2*n^2+17*n+35)*a(n+2)+(-n^2-9*n-17)*a(n+3)+(n+2)*a(n+4),a(0)=0,a(1)=0,a(2)=3,a(3)=27} ogf] A297675 14.6316 [3*(x^2-x-1)/(x-1)^3 ogf] A297675 15.9379 [-(-x^2+4)/(-x^3+2*x^2-1) lgdogf] A297675 7.82917 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=12,a(2)=24} ogf] A297675 7.96897 [(5*f(x)-87)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+3*x+3) ogf] A297677 5.21539 [-(17*x^5-13*x^4-35*x^3+12*x^2-6*x+7)/(17*x^6-30*x^5-5*x^4+8*x^3-x^2+5*x-1) ogf] A297683 4.17597 [-(x^7+19*x^6+28*x^5+17*x^4-10*x^3-28*x^2-17*x-8)/(x-1)/(x^7+19*x^6+29*x^5+36*x^4+19*x^3+8*x^2+x-1) ogf] A297689 4.08681 [-(9*x^7-12*x^6-18*x^5-20*x^4+38*x^3+25*x^2-x-5)/(9*x^8-21*x^7+3*x^6-23*x^5+52*x^4-6*x^3+2*x^2-5*x+1) ogf] A297695 11.9691 [-2*(3*x^2-2)/(6*x^3-4*x^2-2*x+1) ogf] A297695 5.78168 [-(5354*f(x)+14109)*(6*f(x)*x^3-4*f(x)*x^2-2*f(x)*x+6*x^2+f(x)-4) ogf] A297695 6.03751 [{a(n+3)-2*a(n+2)-4*a(n+1)+6*a(n),a(0)=4,a(1)=8,a(2)=26} ogf] A297695 7.18146 [-(-18*x^4+30*x^2-10*x-4)/(-18*x^5+12*x^4+18*x^3-11*x^2-4*x+2) lgdogf] A297696 3.75508 [-(x+1)*(2*x^7-4*x^6-17*x^5+24*x^4+39*x^3-29*x^2-13*x+8)/(2*x^9-4*x^8-17*x^7+22*x^6+43*x^5-24*x^4-24*x^3+10*x^2+3*x-1) ogf] A297705 12.4006 [-(-3*x^2+x)/(-2*x^2-3*x-1) revogf] A297705 3.13025 [{(-2*n-4)*a(n+1)+(33*n+120)*a(n+2)+(52*n+179)*a(n+3)+(-3*n-15)*a(n+4),a(0)=1,a(1)=6,a(2)=56,a(3)=636} ogf] A297705 9.41516 [2*f(x)^2*x^2+3*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A297712 5.76371 [-(6*x^8-2*x^7-14*x^6+9*x^5-9*x^4-3*x^3+23*x^2-x-7)/(x^6-x^4-x^2-x+1)/(x-1)^2 ogf] A297721 6.57826 [-(3*x^2-1)*(8*x^3-6*x-1)/(24*x^6-24*x^5-2*x^4+3*x^3-3*x^2+4*x-1) ogf] A297728 4.47989 [-(x^7+4*x^6+14*x^5+7*x^4-x^3-8*x^2-7*x-1)/(x^8+3*x^7+11*x^6-4*x^5+2*x^4-13*x^3-x^2-x+1) ogf] A297734 8.31405 [-(6*x^4-3*x^2-1)/(6*x^5-6*x^4+3*x^3-x^2-2*x+1) ogf] A297735 4.05951 [-(x+1)*(4*x^7+10*x^6+16*x^5-20*x^4-13*x^3+7*x^2+1)/(4*x^9+10*x^8+16*x^7-19*x^6-12*x^5+7*x^4-6*x^3+4*x^2+2*x-1) ogf] A297740 6.55865 [-(x+1)*(12*x^8-24*x^6-20*x^5+28*x^4+20*x^3+12*x^2+5*x+1)/(x-1)^3 ogf] A297741 5.10331 [-(x+1)*(4*x^12+16*x^11+12*x^10-20*x^9-28*x^8-68*x^7+44*x^6+36*x^5+28*x^4+20*x^3+12*x^2+5*x+1)/(x-1)^3 ogf] A297750 6.16749 [-(x+1)*(12*x^4+10*x^3-8*x^2-2*x-1)/(12*x^6+10*x^5-8*x^4-6*x^3+x^2-2*x+1) ogf] A297763 6.78771 [-(18*x^4+12*x^3-7*x^2+2*x-1)/(18*x^5-6*x^4-x^3+3*x^2-4*x+1) ogf] A297809 10.5115 [-x*(2*x^2-2*x-1)/(2*x^4-2*x^3-3*x^2+1) ogf] A297809 5.99414 [-(48*f(x)+11)*(2*f(x)*x^4-2*f(x)*x^3-3*f(x)*x^2+2*x^3-2*x^2+f(x)-x) ogf] A297817 6.43776 [(4*x^5-4*x^4-8*x^3+4*x^2+x+1)/(4*x^5+2*x^4-2*x^3-x^2-3*x+1) ogf] A297818 3.73314 [(8*x^10-2*x^9-8*x^8+8*x^7-6*x^6+7*x^5-19*x^4-20*x^3+2*x^2-14*x-1)/(2*x^9+2*x^7+2*x^6-x^5+7*x^4-x^3-x^2+3*x-1) ogf] A297852 8.35278 [-(4*x^5-4*x^4-6*x^3+1)/(2*x-1)/(2*x^4-4*x^3-x+1) ogf] A297853 5.28373 [-(4*x^8+11*x^7+10*x^6-x^5-16*x^4-11*x^3+x^2+5*x+1)/(x-1)/(x^2+1)/(x^2+x-1)/(x^3+x^2-1) ogf] A297860 10.1527 [-x*(2*x^2+2*x+1)/(x+1)/(2*x^3+2*x^2+x-1) ogf] A297860 5.88684 [-(5*f(x)+2)*(2*f(x)*x^4+4*f(x)*x^3+3*f(x)*x^2+2*x^3+2*x^2-f(x)+x) ogf] A297870 11.6641 [-x*(4*x^2-2*x-1)/(2*x-1)/(2*x^3+x^2-x-1) ogf] A297870 6.16396 [-(523*f(x)+609)*(4*f(x)*x^4-3*f(x)*x^2+4*x^3-f(x)*x-2*x^2+f(x)-x) ogf] A297883 6.96750 [-(8*x^5-8*x^4-12*x^3-4*x^2+x+2)/(2*x-1)/(4*x^4-8*x^3-x+1) ogf] A297884 4.31575 [-(8*x^10+12*x^9+16*x^8-7*x^7-22*x^6-26*x^5-x^4+16*x^3+11*x^2-x-4)/(x-1)/(2*x^3+x-1)/(x^3+x^2-1)/(x^3+x-1) ogf] A297901 6.41051 [(2*x+1)*(12*x^4-12*x^3-3*x^2-2*x+2)/(16*x^5+4*x^4-8*x^3-3*x^2-x+1) ogf] A297909 5.23432 [(108*f(x)+47)*(4*f(x)*x^4+8*f(x)*x^3+5*f(x)*x^2+4*x^3+7*x^2-f(x)+5*x+1) ogf] A297909 8.74778 [-(4*x^3+7*x^2+5*x+1)/(x+1)/(4*x^3+4*x^2+x-1) ogf] A297917 4.01331 [(-126609+3719602*f(x))*(4*f(x)*x^4+4*f(x)*x^3-4*x^4+f(x)*x^2+2*x^3+3*f(x)*x+4*x^2-f(x)+x+1) ogf] A297917 7.36560 [(4*x^4-2*x^3-4*x^2-x-1)/(4*x^4+4*x^3+x^2+3*x-1) ogf] A297928 12.7221 [-(8*x^2-15*x+4)/(x-1)/(2*x-1)/(4*x-1) ogf] A297928 6.73522 [(1395*f(x)+2096)*(8*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+8*x^2-f(x)-15*x+4) ogf] A297928 6.96950 [{a(n+3)-7*a(n+2)+14*a(n+1)-8*a(n),a(0)=4,a(1)=13,a(2)=43} ogf] A297928 7.22066 [-(-64*x^4+240*x^3-250*x^2+96*x-13)/(-64*x^5+232*x^4-298*x^3+169*x^2-43*x+4) lgdogf] A297937 5.41682 [-(167*f(x)+718)*(4*f(x)*x^4+4*x^4-3*f(x)*x^2+4*x^3-f(x)*x+x^2+f(x)-4*x-1) ogf] A297937 9.49703 [-(4*x^4+4*x^3+x^2-4*x-1)/(2*x-1)/(2*x^3+x^2-x-1) ogf] A297945 7.26037 [(4*x^5-14*x^3+4*x^2+1)/(4*x^5+6*x^4-2*x^3+2*x^2-4*x+1) ogf] A297953 4.66628 [-(296*f(x)+745)*(4*f(x)*x^4-4*f(x)*x^3+4*x^4+f(x)*x^2+2*x^3-2*f(x)*x-2*x^2+f(x)-x-1) ogf] A297953 8.39932 [-(x+1)*(4*x^3-2*x^2-1)/(2*x-1)/(x-1)/(2*x^2+x+1) ogf] A297970 2.54989 [(f(x)+113)*(f(x)*x^2-2*f(x)*x+f(x)-16*x-112) ogf] A297970 4.78104 [16*(x+7)/(x-1)^2 ogf] A297972 12.7098 [-x*(2*x+1)/(2*x^3+3*x^2+x-1) ogf] A297972 6.52663 [{-a(n+3)+a(n+2)+3*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A297972 6.64638 [(59*f(x)+30)*(2*f(x)*x^3+3*f(x)*x^2+f(x)*x+2*x^2-f(x)+x) ogf] A297972 8.94390 [-(8*x^3+12*x^2+6*x+3)/(4*x^4+8*x^3+5*x^2-x-1) lgdogf] A297980 5.52502 [-(26436*f(x)+50759)*(2*f(x)*x^4-2*f(x)*x^3+2*x^4-3*f(x)*x^2-3*x^2+f(x)-5*x-1) ogf] A297980 9.91477 [-(2*x^4-3*x^2-5*x-1)/(2*x^4-2*x^3-3*x^2+1) ogf] A297988 3.25107 [(x-1)*(8*x^11+14*x^10-7*x^8+x^7-24*x^6-40*x^5-42*x^4-31*x^3-13*x^2-15*x-1)/(2*x^11+2*x^10+x^9+2*x^8-4*x^6-6*x^4-x^3+x^2-3*x+1) ogf] A297996 12.1913 [(2*x^4-4*x^3+x+2)/(x+1)/(x-1)^2 ogf] A297996 5.84169 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=2,a(1)=3,a(2)=5,a(3)=2,a(4)=6} ogf] A297996 6.47078 [-(1471*f(x)+13968)*(f(x)*x^3-2*x^4-f(x)*x^2+4*x^3-f(x)*x+f(x)-x-2) ogf] A298014 8.14677 [-(x+1)*(2*x^9+x^7-5*x^6-3*x^5-6*x^4-6*x^3-7*x^2-2*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A298015 9.95611 [(3*x^7+4*x^6+6*x^5+18*x^4+13*x^3+6*x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A298016 9.98986 [(x^6+12*x^5+12*x^4+10*x^3+12*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A298017 6.81451 [(x+1)*(2*x^9+x^7-5*x^6-3*x^5-6*x^4-6*x^3-7*x^2-2*x-1)/(x^2+x+1)^2/(x-1)^3 ogf] A298018 8.24613 [-(3*x^7+4*x^6+6*x^5+18*x^4+13*x^3+6*x^2+3*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A298019 8.68397 [-(x^6+12*x^5+12*x^4+10*x^3+12*x^2+6*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A298022 8.95557 [-(2*x^8-2*x^5-3*x^4-4*x^3-4*x^2-2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A298023 7.56483 [(2*x^8-2*x^5-3*x^4-4*x^3-4*x^2-2*x-1)/(x^2+x+1)/(x-1)^3 ogf] A298024 10.8690 [(x^4+3*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A298024 6.58986 [(3*f(x)+7)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-6*x^2+f(x)-3*x-1) ogf] A298025 8.86630 [-(x^4+3*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x-1)^3 ogf] A298026 10.1144 [-(-6*x^4-12*x^3-36*x^2-12*x-6)/(-x^6-6*x^5-3*x^4+3*x^2+6*x+1) lgdogf] A298026 13.7168 [(x^4+6*x^3+4*x^2+6*x+1)/(x-1)^2/(x+1)^2 ogf] A298026 9.18649 [(f(x)-7)*(f(x)*x^4-x^4-2*f(x)*x^2-6*x^3-4*x^2+f(x)-6*x-1) ogf] A298027 10.4228 [-(x^4+6*x^3+4*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A298027 8.97520 [-(-x^5-13*x^4-22*x^3-46*x^2-19*x-7)/(-x^6-6*x^5-3*x^4+3*x^2+6*x+1) lgdogf] A298028 10.0721 [-(3*x^4+24*x^3+18*x^2+24*x+3)/(x^6+3*x^5+9*x^4-9*x^2-3*x-1) lgdogf] A298028 11.3311 [-f(x)*x^4+x^4+2*f(x)*x^2+3*x^3+10*x^2-f(x)+3*x+1 ogf] A298028 13.4748 [(x^4+3*x^3+10*x^2+3*x+1)/(x-1)^2/(x+1)^2 ogf] A298029 10.8668 [-(3*x^7-9*x^5-3*x^4-4*x^3-2*x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A298030 10.5874 [(3*x^7-9*x^5-3*x^4-4*x^3-2*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A298031 11.5074 [-(2*x^6-8*x^4-3*x^3-5*x^2-3*x-1)/(x+1)/(x-1)^2 ogf] A298032 11.2959 [(2*x^6-8*x^4-3*x^3-5*x^2-3*x-1)/(x+1)/(x-1)^3 ogf] A298033 10.9725 [-(12*x^3+36*x^2+18*x+6)/(7*x^5+5*x^4-2*x^3-4*x^2-5*x-1) lgdogf] A298033 14.4709 [(7*x^3+5*x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A298033 7.45145 [{a(n+4)-a(n+3)-a(n+2)+a(n+1),a(0)=1,a(1)=6,a(2)=12,a(3)=24} ogf] A298033 8.11785 [-(f(x)-1)*(f(x)*x^3-f(x)*x^2-7*x^3-f(x)*x-5*x^2+f(x)-5*x-1) ogf] A298034 14.0298 [-(7*x^3+5*x^2+5*x+1)/(x+1)/(x-1)^3 ogf] A298034 7.68297 [-(41*f(x)-416)*(f(x)*x^4-2*f(x)*x^3+7*x^3+2*f(x)*x+5*x^2-f(x)+5*x+1) ogf] A298034 9.77832 [-(-7*x^4-24*x^3-46*x^2-24*x-7)/(-7*x^5-5*x^4+2*x^3+4*x^2+5*x+1) lgdogf] A298035 10.5833 [(-3+4*f(x))*(f(x)*x^2-2*f(x)*x-16*x^2+f(x)-x-1) ogf] A298035 18.0878 [-(-33*x-3)/(-16*x^3+15*x^2+1) lgdogf] A298035 18.4228 [(16*x^2+x+1)/(x-1)^2 ogf] A298035 9.65855 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=21} ogf] A298036 6.48583 [-(f(x)-13)*(f(x)*x^4-x^4-2*f(x)*x^2-12*x^3-10*x^2+f(x)-12*x-1) ogf] A298038 7.50924 [(4*f(x)+45)*(f(x)*x^4-x^4-2*f(x)*x^2-6*x^3-22*x^2+f(x)-6*x-1) ogf] A298057 8.09251 [-(16*x^4+2*x^3+2*x^2-3*x-1)/(16*x^5-8*x^3-x^2-x+1) ogf] A298078 13.0577 [-(43*x^2-114*x+29)/(43*x^3-143*x^2+143*x-43) lgdogf] A298078 14.8657 [(43*x^2-100*x+43)/(x-1)^3 ogf] A298078 7.7925 [-(113*f(x)-7296)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-43*x^2-f(x)+100*x-43) ogf] A298078 8.47604 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-43,a(1)=-29,a(2)=-1} ogf] A298095 9.27198 [-x*(x^2+x-1)/(x-1)/(2*x^4+x^3+2*x^2-1) ogf] A298101 5.00744 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=324} ogf] A298101 5.1847 [(324*f(x)+1)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+x^2-f(x)+x) ogf] A298101 7.14477 [-(-2*x^3+320*x^2+646*x-324)/(-x^4+322*x^3-322*x+1) lgdogf] A298101 9.60444 [-x*(x+1)/(x-1)/(x^2-322*x+1) ogf] A298125 11.3485 [(2*x^4-6*x^3-x^2-1)/(x-1)^3 ogf] A298125 6.32395 [-(17*f(x)-1560)*(f(x)*x^3-2*x^4-3*f(x)*x^2+6*x^3+3*f(x)*x+x^2-f(x)+1) ogf] A298125 8.54059 [-(2*x^4-8*x^3+19*x^2+2*x+3)/(-2*x^5+8*x^4-5*x^3-x^2+x-1) lgdogf] A298141 5.50863 [-x*(x-1)*(3*x^6+6*x^5+2*x^4+3*x^3+2*x^2-2)/(x+1)/(x^8-2*x^7-6*x^6+2*x^5+2*x-1) ogf] A298148 6.59168 [2*(x-1)*(x+1)*(6*x^3+3*x^2-1)/(8*x^5+10*x^4-6*x^3-2*x^2-2*x+1) ogf] A298158 10.2700 [(4*x^3+6*x^2-x-1)/(2*x^2-1)/(x^2+x-1) ogf] A298158 5.53001 [(4441*f(x)+4514)*(2*f(x)*x^4+2*f(x)*x^3-3*f(x)*x^2-4*x^3-f(x)*x-6*x^2+f(x)+x+1) ogf] A298163 6.01202 [-x*(2*x^5+x^4-2*x^3-2*x^2-2*x+2)/(x^2+x-1)/(x^5-x^3-x^2-x+1) ogf] A298179 9.47569 [-x*(2*x^3+x^2+2*x-2)/(x^2+x-1)/(2*x^3+x-1) ogf] A298180 4.14160 [-x*(2*x^8-12*x^7-12*x^6+6*x^4+3*x^3+3*x^2+3*x-3)/(x^2+x-1)/(2*x^8-8*x^7-4*x^6+2*x^4+3*x^3+x^2+x-1) ogf] A298185 6.21604 [-x*(3*x^6+4*x^5-4*x^4+4*x^3+x^2-10*x+5)/(x-1)/(x^2+x-1)/(x^4+x-1) ogf] A298186 4.31044 [-x*(5*x^10+7*x^7-2*x^6+6*x^5-6*x^4+7*x^3+x^2-16*x+8)/(x-1)/(x+1)/(x^4+x-1)/(x^5-x^4+x^3-x^2+2*x-1) ogf] A298189 7.55894 [-2*(3*x^4+2*x^3+x^2-1)/(4*x^5+6*x^4-2*x^3+2*x^2-4*x+1) ogf] A298198 12.0713 [4*(4*x-1)/(2*x-1)/(6*x-1)^2 ogf] A298198 5.83103 [{-a(n+3)+14*a(n+2)-60*a(n+1)+72*a(n),a(0)=4,a(1)=40,a(2)=320} ogf] A298198 6.19876 [-(f(x)-4)*(72*f(x)*x^3-60*f(x)*x^2+14*f(x)*x-f(x)-16*x+4) ogf] A298198 9.82946 [-(-96*x^2+60*x-10)/(-48*x^3+44*x^2-12*x+1) lgdogf] A298201 6.73903 [-2*(300*x^4-812*x^3+651*x^2-183*x+16)/(x-1)/(5*x-1)/(2*x-1)/(4*x^2-7*x+1) ogf] A298215 7.22060 [-(16*x^5-8*x^3-5*x^2-x+2)/(2*x-1)/(x-1)/(8*x^3+x-1) ogf] A298234 10.8959 [-(x+1)*(3*x+1)/(4*x^3+5*x^2+x-1) ogf] A298234 5.49299 [-(1443*f(x)+4789)*(4*f(x)*x^3+5*f(x)*x^2+f(x)*x+3*x^2-f(x)+4*x+1) ogf] A298234 5.88188 [{a(n+3)-a(n+2)-5*a(n+1)-4*a(n),a(0)=1,a(1)=5,a(2)=13} ogf] A298267 7.63775 [-x*(x+1)*(3*x^4-2*x^3+4*x^2-2*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A298271 13.0194 [-x/(x-1)/(x^2-322*x+1) ogf] A298271 5.00744 [{a(n+3)-323*a(n+2)+323*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=323} ogf] A298271 7.23297 [f(x)*x^3-323*f(x)*x^2+323*f(x)*x-f(x)+x ogf] A298271 8.13710 [-(3*x^2-646*x+323)/(x^3-323*x^2+323*x-1) lgdogf] A298300 6.91353 [1/6*(x^2-5*x-2+(x^4+14*x^3+45*x^2+44*x+4)^(1/2))/(x^2+x+1) revogf] A298300 7.47222 [3*f(x)^2*x^3-f(x)^2*x^2+3*f(x)*x^2+5*f(x)*x-2*f(x)+3*x+2 ogf] A298308 17.3943 [-(-9*x^2-3)/(9*x^3+9*x+1) lgdogf] A298308 23.1924 [-9*x^3-9*x-1+f(x)^3 ogf] A298308 5.79811 [{(-n-4)*a(n+4)+(-24-9*n)*a(n+3)-9*n*a(n+1),a(0)=1,a(1)=3,a(2)=-9,a(3)=48} ogf] A298311 22.3132 [-(x+3)/(x^2-1) ogf_with_Euler_transform] A298360 10.6348 [(3*x^4+14*x^3+6*x^2+4*x+3)/(x^2+1)/(x+1)/(x-1)^2 ogf] A298364 11.8828 [(3*x^3-2*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A298367 8.35002 [-(14*x^4+5*x^3+2*x^2+x+1)/(14*x^5+5*x^4+2*x^3+x^2+x-1) ogf] A298371 8.37985 [-(-7*x^4-13*x^3-9*x^2-5*x-3)/(-x^5-2*x^4-2*x^3-2*x^2+1) lgdogf] A298371 8.37985 [x^2*(x+1)/(x^4+x^3+x^2+x-1)^2 ogf] A298375 7.60034 [-(x^6-2*x^5+x^3+x^2-x-2)/(x+1)^2/(x-1)^4 ogf] A298397 8.01452 [-(-20*x^4-55*x^3-125*x^2-65*x-23)/(-10*x^5-15*x^4-10*x^3+12*x^2+20*x+3) lgdogf] A298397 9.22101 [-4*x*(10*x^3+15*x^2+20*x+3)/(x+1)^2/(x-1)^3 ogf] A298421 5.76587 [-(-3*x^11+x^10+2*x^8-2*x^7+x^6-4*x^5+x^4-2*x^3+2*x^2+1)/(x^12-1) ogf_with_Euler_transform] A298448 9.22727 [-(8*x^4+4*x^2-2*x-1)/(8*x^5+8*x^4-8*x^3-2*x+1) ogf] A298470 6.50665 [(3*x^20+2*x^19-14*x^6+4*x^5+3*x^4+5*x^3+19*x^2+x+2)/(x^2+1)/(x+1)/(x-1)^2 ogf] A298474 8.11471 [-(x^7-x^6-x^5+x^4-x^3-3*x^2-x-1)/(x+1)/(x-1)^2 ogf] A298489 3.64123 [-(8*x^11-4*x^10-16*x^9-35*x^8+2*x^7+33*x^6+36*x^5-x^4-19*x^3-11*x^2+x+4)/(x-1)/(2*x^3+x-1)/(x^3+x^2-1)/(x^4-2*x^3-x+1) ogf] A298564 10.0236 [-(-54*x^3+24*x^2+24*x-10)/(-18*x^4+27*x^3-7*x^2-3*x+1) lgdogf] A298564 12.8661 [x*(3*x+1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A298564 4.22563 [{(-24*n-78)*a(n+1)+(44*n+119)*a(n+2)+(-24*n-58)*a(n+3)+(4*n+9)*a(n+4),a(0)=0,a(1)=1,a(2)=10,a(3)=53} ogf] A298564 6.07062 [-(1794656*f(x)+921609)*(6*f(x)*x^4-17*f(x)*x^3+17*f(x)*x^2-7*f(x)*x-3*x^2+f(x)-x) ogf] A298569 11.2072 [-(x-1)*(2*x+1)^2/(4*x^4-8*x^3-x+1) ogf] A298569 5.79357 [(11733*f(x)-1969)*(4*f(x)*x^4-8*f(x)*x^3+4*x^3-f(x)*x+f(x)-3*x-1) ogf] A298570 5.04476 [-(2*x^8+11*x^7+2*x^6-6*x^5-16*x^4-5*x^3+x^2+4*x+1)/(2*x^9-2*x^8-2*x^7-10*x^6+x^5+2*x^4+7*x^3-1) ogf] A298584 4.26226 [(x^12-3*x^10+x^9-4*x^8-5*x^7+6*x^6+7*x^5+5*x^4+8*x^3-6*x^2-1)/(x^3-x^2+2*x-1)/(x^6+x^5-2*x^4-4*x^3-x^2+x+1) ogf] A298596 14.1388 [-(x^3-x^2-x)/(x^2-1) ogf_with_Euler_transform] A298598 11.7955 [-(x^5-x^4-2*x^3+3*x^2+2*x)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A298599 15.9588 [-(-x^2+2*x)/(x^2-2*x+1) ogf_with_Euler_transform] A298611 7.56377 [16*f(x)^2*x^4-8*f(x)^2*x^3+f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A298611 9.11296 [-(32*x^3-12*x^2+x-3)/(16*x^4-8*x^3+x^2-6*x+1) lgdogf] A298662 3.89156 [-(4*x^11-2*x^10-2*x^9+x^8-6*x^7+2*x^6-3*x^5+x^4+3*x^3+x-1)/(2*x^12-2*x^11+x^9-7*x^8-5*x^7+3*x^6+6*x^5+4*x^4-x^3-3*x^2-x+1) ogf] A298677 10.8923 [-(x^2+2*x-111)/(x^3-109*x^2-109*x+1) lgdogf] A298677 16.2226 [(x+1)/(x^2-110*x+1) ogf] A298677 8.19851 [(12208*f(x)+113)*(f(x)*x^2-110*f(x)*x+f(x)-x-1) ogf] A298677 8.86584 [{-a(n+2)+110*a(n+1)-a(n),a(0)=1,a(1)=111} ogf] A298678 14.3649 [-(2*x-1)/(2*x+1)/(x^2-4*x+1) ogf] A298678 6.85891 [{-a(n+3)+2*a(n+2)+7*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=7} ogf] A298678 7.18244 [(387*f(x)-44)*(2*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+f(x)+2*x-1) ogf] A298678 9.63720 [-(8*x^3-20*x^2+14*x)/(4*x^4-16*x^3+3*x^2+4*x-1) lgdogf] A298679 11.1277 [-(-6*x^2+14*x+2)/(-2*x^3+7*x^2+2*x-1) lgdogf] A298679 16.0733 [3*x/(2*x+1)/(x^2-4*x+1) ogf] A298679 6.51620 [{-a(n+3)+2*a(n+2)+7*a(n+1)-2*a(n),a(0)=0,a(1)=3,a(2)=6} ogf] A298679 6.82356 [-(395*f(x)+84)*(2*f(x)*x^3-7*f(x)*x^2-2*f(x)*x+f(x)-3*x) ogf] A298680 14.3027 [-4*x^2/(2*x+1)/(x-1)/(x^2-4*x+1) ogf] A298680 5.92221 [-(179*f(x)-48)*(2*f(x)*x^4-9*f(x)*x^3+5*f(x)*x^2+3*f(x)*x+4*x^2-f(x)) ogf] A298680 9.24443 [-(8*x^3-27*x^2+10*x+3)/(2*x^4-9*x^3+5*x^2+3*x-1) lgdogf] A298681 11.8650 [4*x*(2*x-1)/(2*x+1)/(x-1)/(x^2-4*x+1) ogf] A298681 5.79869 [(25521*f(x)+10928)*(2*f(x)*x^4-9*f(x)*x^3+5*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+4*x) ogf] A298681 7.56105 [-(-12*x^4+44*x^3-37*x^2+10*x+1)/(-4*x^5+20*x^4-19*x^3-x^2+5*x-1) lgdogf] A298682 5.31664 [(f(x)+1)*(2*f(x)*x^4-9*f(x)*x^3+5*f(x)*x^2-5*x^3+3*f(x)*x-7*x^2-f(x)-x+1) ogf] A298682 9.45949 [(x+1)*(5*x^2+2*x-1)/(2*x+1)/(x-1)/(x^2-4*x+1) ogf] A298683 5.39105 [(63*f(x)-88)*(2*f(x)*x^4-9*f(x)*x^3+5*f(x)*x^2+14*x^3+3*f(x)*x-7*x^2-f(x)-2*x+1) ogf] A298683 9.67624 [-(2*x-1)*(7*x^2-1)/(2*x+1)/(x-1)/(x^2-4*x+1) ogf] A298720 3.55732 [-(975*x^10-983*x^9-896*x+903)/(8*x^9-7)/(x-1)^2 ogf] A298728 3.41781 [-(1487*x^10-1495*x^9-1344*x+1351)/(8*x^9-7)/(x-1)^2 ogf] A298747 12.8403 [-(32*x^31-32*x^30+x^7-x^6-1)/(x-1)^2 ogf] A298777 9.31720 [(3*x^6-x^5+4*x^4+5*x^3-4*x^2-1)/(x^2+x-1) ogf] A298784 12.9964 [(x^2+1)*(x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A298784 7.63906 [-(f(x)+1)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-2*x^2+f(x)-3*x-1) ogf] A298785 10.2512 [-(x^2+1)*(x^2+3*x+1)/(x^2+x+1)/(x-1)^3 ogf] A298786 12.7322 [(x^4+2*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A298786 7.48381 [-(7*f(x)+6)*(f(x)*x^4-f(x)*x^3-x^4-2*x^3-f(x)*x-4*x^2+f(x)-2*x-1) ogf] A298787 10.2512 [-(x^4+2*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x-1)^3 ogf] A298788 9.15854 [(x^4+x^3+4*x^2+x+1)*(x+1)^2/(x-1)^2/(x^2+x+1)^2 ogf] A298789 24.9934 [-x^3+2*x^2-3*x+4 ogf_with_Euler_transform] A298789 8.53948 [-(-4*x^4-2*x^3-12*x^2-2*x-4)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A298789 9.30708 [(x^2+1)*(x+1)^4/(x-1)^2/(x^2+x+1)^2 ogf] A298790 7.60674 [-(x^4+x^3+4*x^2+x+1)*(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A298791 25.2215 [-x^3+2*x^2-3*x+5 ogf_with_Euler_transform] A298791 7.67652 [-(x^2+1)*(x+1)^4/(x^2+x+1)^2/(x-1)^3 ogf] A298791 7.96896 [-(-x^5-6*x^4-5*x^3-15*x^2-4*x-5)/(-x^6-x^5-x^4+x^2+x+1) lgdogf] A298801 7.35735 [(4*x^11-3*x^10-8*x^9+2*x^8+3*x^7+9*x^6-2*x^5+2*x^4-10*x^3+3*x^2-x+4)/(x^2+x+1)/(x-1)^2 ogf] A298802 11.4885 [(x^2+1)*(x+1)^2/(x^4-2*x^3-2*x+1) ogf] A298802 6.96548 [(3*f(x)-1)*(f(x)*x^4-2*f(x)*x^3-x^4-2*x^3-2*f(x)*x-2*x^2+f(x)-2*x-1) ogf] A298802 8.19090 [-(4*x^5+8*x^3-8*x^2-4)/(x^7-x^6-x^5-3*x^4-3*x^3-x^2-x+1) lgdogf] A298803 7.10361 [-(2*x^7-3*x^6-6*x^5-9*x^4-9*x^3-7*x^2-4*x-1)/(x^2+x+1)/(x^4-x^3-x^2-x+1) ogf] A298806 5.54835 [(x^2+x+1)*(x^2-x+1)*(x^6+x^5-x^4+x^3-x^2+x+1)/(x^10-3*x^9+2*x^8-x^7-2*x^6+3*x^5-2*x^4-x^3+2*x^2-3*x+1) ogf] A298807 5.15288 [-(2*x^11-3*x^10-6*x^9-9*x^8-12*x^7-15*x^6-15*x^5-13*x^4-10*x^3-7*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x^6-x^5-x^4-x^3-x^2-x+1) ogf] A298810 4.83858 [-(2*x^14-3*x^12-3*x^11-6*x^10-6*x^9-9*x^8-9*x^7-9*x^6-9*x^5-7*x^4-6*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x^2-x+1)/(x^8-x^6-x^4-x^2+1) ogf] A298881 11.945 [-f(x)*(f(x)*x-f(x)+6*x) egf] A298881 24.3020 [-6*x/(x-1) egf] A298881 29.3649 [1/(-x+1) lgdegf] A298881 8.92097 [{(-n-1)*a(n)+a(n+1),a(0)=0,a(1)=6} ogf] A298897 5.78778 [2*f(x)*x^5-f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-x ogf] A298897 9.21758 [-x*(x^2+x-1)/(2*x-1)/(x^4+x^2-1) ogf] A298914 5.28633 [-(x+1)*(x^7+3*x^6+4*x^5+2*x^4+x^3+2*x^2-x-1)/(x-1)/(x^3+x^2+x-1)/(x^4+x^3+x^2+x+1) ogf] A298915 6.20053 [-(4*x^8+4*x^7+4*x^6+4*x^5-2*x^4-8*x^2+2*x+1)/(2*x-1)/(x-1)/(x^2+x+1)/(x^4+x-1) ogf] A298919 8.35621 [-x*(x^6+3*x^2+3*x-4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A298920 6.38774 [-(2*x^7+5*x^6+4*x^5-2*x^4+7*x^3+7*x^2-7*x-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A298921 5.20378 [x*(x^9+12*x^8+13*x^7-20*x^6-4*x^5-4*x^4-x^3-28*x^2-29*x+32)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1) ogf] A298931 5.58895 [-(3*x^9+2*x^6+2*x^5+x^3+x^2)/(-x^10-x^7-x^6-x^4-x^3-1) ogf_with_Euler_transform] A298950 8.46006 [-(x^5+7*x^4+13*x^3+23*x^2+12*x+4)/(x^6+3*x^5+x^4-x^2-3*x-1) lgdogf] A298950 9.73361 [-(x^2+1)*(x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A298959 8.81815 [-x*(2*x^3-3*x^2+2*x-2)/(x+1)/(2*x^4-4*x^3+3*x^2-3*x+1) ogf] A298960 4.05922 [-x*(2*x^9-8*x^8+14*x^7-6*x^6-3*x^4-8*x^3+8*x^2-6*x+3)/(x+1)/(2*x^10-8*x^9+16*x^8-16*x^7+8*x^6-9*x^5+5*x^3-5*x^2+4*x-1) ogf] A298965 4.20207 [-(24*x^7+2*x^6-19*x^5+3*x^4+10*x^3+17*x^2-4*x-4)/(12*x^8+8*x^7-19*x^6-2*x^5+11*x^4+11*x^3-3*x^2-7*x+1) ogf] A298976 11.0976 [-(20*x^4+42*x^3+18*x^2+10*x+3)/(6*x^3-1) ogf] A298976 6.83693 [{-a(n+5)+6*a(n+2),a(0)=3,a(1)=10,a(2)=18,a(3)=60,a(4)=80} ogf] A298976 6.96123 [(79345007*f(x)+437914749)*(6*f(x)*x^3+20*x^4+42*x^3+18*x^2-f(x)+10*x+3) ogf] A298977 14.4510 [-12*(3*x^2+7*x+1)/(7*x^2-1) ogf] A298977 8.44327 [-(2215*f(x)+74262)*(7*f(x)*x^2+36*x^2-f(x)+84*x+12) ogf] A298977 8.53923 [{a(n+3)-7*a(n+1),a(0)=12,a(1)=84,a(2)=120} ogf] A298977 9.88753 [-(-49*x^2-20*x-7)/(-21*x^4-49*x^3-4*x^2+7*x+1) lgdogf] A298992 7.46423 [x^2*(2*x^3+8*x^2+7*x+5)/(x+1)^3/(x-1)^4 ogf] A298992 8.13601 [-(-8*x^4-42*x^3-56*x^2-58*x-12)/(-2*x^5-8*x^4-5*x^3+3*x^2+7*x+5) lgdogf] A299074 12.5938 [1/(x-1)/(6*x-1)/(24*x-1)/(2*x-1) ogf] A299074 4.96655 [(11427488057*f(x)+187476480)*(288*f(x)*x^4-492*f(x)*x^3+236*f(x)*x^2-33*f(x)*x+f(x)-1) ogf] A299074 7.34635 [-(-1152*x^3+1476*x^2-472*x+33)/(-288*x^4+492*x^3-236*x^2+33*x-1) lgdogf] A299099 6.83105 [-(x^4-x^3-x^2+x+1)/(x^5-x^4-2*x^3+3*x^2+x-1) ogf] A299102 3.88021 [-(x^9+x^8-4*x^7-6*x^6+8*x^5+9*x^4-5*x^3-5*x^2+x+1)/(x-1)/(x^9+2*x^8-3*x^7-9*x^6+3*x^5+14*x^4-x^3-7*x^2+1) ogf] A299120 8.31685 [-(x^4-5*x^3+10*x^2-5*x+1)/(x-1)^5 ogf] A299120 8.77382 [-(-x^4+6*x^3-15*x^2)/(-x^5+6*x^4-15*x^3+15*x^2-6*x+1) lgdogf] A299174 12.4128 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=4} ogf] A299174 17.2516 [-f(x)*x^2+2*f(x)*x-f(x)+2 ogf] A299174 30.8439 [2/(x-1)^2 ogf] A299174 36.3518 [2/(-x+1) lgdogf] A299174 78.0400 [[2] ogf_with_Euler_transform] A299198 8.70877 [-(-x^4+6*x^3-30*x^2+6*x-1)/(-x^5+6*x^4-20*x^3+24*x^2-11*x+2) lgdogf] A299198 9.07164 [-(x^4-5*x^3+15*x^2-9*x+2)/(x-1)^5 ogf] A299206 14.0800 [1/(48828125*x^2-4830*x+1) ogf] A299206 5.33124 [(1486547*f(x)-1953125)*(48828125*f(x)*x^2-4830*f(x)*x+f(x)-1) ogf] A299206 5.78020 [{a(n+2)-4830*a(n+1)+48828125*a(n),a(0)=1,a(1)=4830} ogf] A299231 8.90996 [-(x^7-2*x^6+2*x^5-x^4-x^3+x^2-x-1)/(x-1)^2 ogf] A299232 9.61379 [(x^6-2*x^5+2*x^4-x^3-x^2+x+2)/(x-1)^2 ogf] A299250 10.7376 [(x^4+8*x^3+10*x^2+2*x+9)/(x^2+1)/(x+1)/(x-1)^2 ogf] A299254 7.96278 [-(x+1)*(x^2+x+1)*(x^4+3*x^3+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A299255 14.9901 [-(-7*x^2-4*x-7)/(-x^4-x^3+x+1) lgdogf] A299255 38.1813 [x^2-5*x+7 ogf_with_Euler_transform] A299255 9.31424 [-(x+1)^5/(x^2+x+1)/(x-1)^3 ogf] A299256 11.3889 [(2*x+1)*(x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A299257 6.47874 [(x+1)*(2*x^8-4*x^7+3*x^6-5*x^5+x^4-3*x^3-x^2-x-1)/(x^2+1)^2/(x-1)^3 ogf] A299258 29.2358 [-x^5+x^4-2*x+5 ogf_with_Euler_transform] A299258 8.28480 [-(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A299259 10.0341 [-(5*x^4+6*x^3+14*x^2+6*x+5)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A299259 29.3561 [-x^3+x^2-2*x+5 ogf_with_Euler_transform] A299259 9.63674 [-(x^2+1)*(x+1)^3/(x^2+x+1)/(x-1)^3 ogf] A299260 5.96922 [(x+1)*(x^2+x+1)*(x^4+3*x^3+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A299261 10.9129 [-(-x^3-9*x^2-6*x-8)/(-x^4-x^3+x+1) lgdogf] A299261 31.2135 [x^2-5*x+8 ogf_with_Euler_transform] A299261 7.07866 [(x+1)^5/(x^2+x+1)/(x-1)^4 ogf] A299262 10.4424 [-(2*x+1)*(x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x-1)^4 ogf] A299262 8.50548 [-(3*x^5-11*x^4-48*x^3-52*x^2-29*x-7)/(2*x^7-3*x^6-8*x^5-3*x^4+2*x^3+5*x^2+4*x+1) lgdogf] A299263 5.14814 [-(x+1)*(2*x^8-4*x^7+3*x^6-5*x^5+x^4-3*x^3-x^2-x-1)/(x^2+1)^2/(x-1)^4 ogf] A299264 24.9178 [-x^5+x^4-2*x+6 ogf_with_Euler_transform] A299264 6.22153 [(x^2+x+1)*(x^2-x+1)*(x+1)^3/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A299265 23.4747 [-x^3+x^2-2*x+6 ogf_with_Euler_transform] A299265 7.15459 [(x^2+1)*(x+1)^3/(x^2+x+1)/(x-1)^4 ogf] A299266 5.80667 [-(4*x^12-4*x^11+x^10+5*x^8+20*x^7+18*x^6+24*x^5+14*x^4+16*x^3+5*x^2+4*x+1)/(x+1)/(x^2+x+1)/(x^2+1)^2/(x-1)^3 ogf] A299267 5.49634 [(4*x^12-4*x^11+x^10+5*x^8+20*x^7+18*x^6+24*x^5+14*x^4+16*x^3+5*x^2+4*x+1)/(x+1)/(x^2+x+1)/(x^2+1)^2/(x-1)^4 ogf] A299268 8.86413 [-(x^6+27*x^4+30*x^3+15*x^2+6*x+1)/(x-1)^3/(x+1)^3 ogf] A299269 6.77727 [(x^6+27*x^4+30*x^3+15*x^2+6*x+1)/(x+1)^3/(x-1)^4 ogf] A299270 8.79861 [-f(x)^2*x^4+f(x)^2*x^3-f(x)^2*x^2+2*f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A299271 5.70788 [(24*f(x)-19)*(f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2+2*f(x)*x^3-2*f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1) ogf] A299272 7.02316 [-(x^2+1)*(x^4+3*x^3+5*x^2+3*x+1)*(x+1)^3/(x-1)^3/(x^2+x+1)^3 ogf] A299273 6.26883 [(x^2+1)*(x^4+3*x^3+5*x^2+3*x+1)*(x+1)^3/(x^2+x+1)^3/(x-1)^4 ogf] A299276 16.4000 [-x^5+x^4-x^3+x^2-x+5 ogf_with_Euler_transform] A299276 6.08014 [(x^2+1)*(x^2-x+1)*(x+1)^3/(x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A299279 8.57615 [-(4*x^7-3*x^6+39*x^4+44*x^3+27*x^2+8*x+1)/(x-1)^3/(x+1)^3 ogf] A299280 6.61480 [(4*x^7-3*x^6+39*x^4+44*x^3+27*x^2+8*x+1)/(x+1)^3/(x-1)^4 ogf] A299281 5.88962 [-(x+1)*(x^3+x^2+1)*(x^6-2*x^5+x^4+3*x^2+2*x+1)/(x^2+1)^2/(x-1)^3 ogf] A299282 5.34978 [(x+1)*(x^3+x^2+1)*(x^6-2*x^5+x^4+3*x^2+2*x+1)/(x^2+1)^2/(x-1)^4 ogf] A299283 7.41364 [-(x^6+5*x^5+9*x^4+11*x^3+9*x^2+5*x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A299284 6.45454 [(x^6+5*x^5+9*x^4+11*x^3+9*x^2+5*x+1)/(x^2+1)/(x+1)/(x-1)^4 ogf] A299285 6.98509 [-(x^6+8*x^5+14*x^4+17*x^3+14*x^2+8*x+1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A299286 6.15363 [(x^6+8*x^5+14*x^4+17*x^3+14*x^2+8*x+1)/(x^2+1)/(x+1)/(x-1)^4 ogf] A299287 10.3823 [-(x^4+8*x^3+13*x^2+8*x+1)/(x+1)/(x-1)^3 ogf] A299287 6.13497 [(197*f(x)+258)*(f(x)*x^4-2*f(x)*x^3+x^4+8*x^3+2*f(x)*x+13*x^2-f(x)+8*x+1) ogf] A299287 7.86230 [-(-10*x^4-46*x^3-74*x^2-46*x-10)/(-x^6-8*x^5-12*x^4+12*x^2+8*x+1) lgdogf] A299288 8.71203 [(x^4+8*x^3+13*x^2+8*x+1)/(x+1)/(x-1)^4 ogf] A299289 5.46704 [-(25*f(x)+59)*(f(x)*x^4-2*f(x)*x^3+x^4+6*x^3+2*f(x)*x+12*x^2-f(x)+6*x+1) ogf] A299289 9.39209 [-(x^4+6*x^3+12*x^2+6*x+1)/(x+1)/(x-1)^3 ogf] A299290 8.14557 [(x^4+6*x^3+12*x^2+6*x+1)/(x+1)/(x-1)^4 ogf] A299296 7.11697 [-1/2*(-12*x^2+(x^2-6*x+1)^(1/2)+7*x-1)/x/(6*x-1)/(x^2-6*x+1)^(1/2) lgdogf] A299296 8.52472 [6*f(x)^2*x+3*f(x)*x^2-f(x)^2-8*f(x)*x+f(x)+4*x ogf] A299316 3.31240 [(4*x^11-11*x^10-6*x^9+21*x^8-6*x^7-13*x^6+37*x^5-10*x^4-20*x^3+8*x^2-x+1)/(2*x^10-4*x^9+3*x^8-3*x^7-x^6-4*x^5+10*x^4+5*x^3-5*x^2-2*x+1) ogf] A299322 5.08431 [(x^8-2*x^7+2*x^6-2*x^5+x^4+x^2+x+1)/(x-1)/(2*x^2-1)/(x^2+1) ogf] A299335 11.4251 [-1/(x+1)^2/(x-1)^7 ogf] A299335 18.4360 [-(-9*x-5)/(-x^2+1) lgdogf] A299335 38.3445 [[5+2*x] ogf_with_Euler_transform] A299335 5.96458 [{(n+3)*a(n+3)-5*a(n+2)+(-10-n)*a(n+1),a(0)=1,a(1)=5,a(2)=17} ogf] A299336 18.0345 [-(-11*x-3)/(-x^2+1) lgdogf] A299336 38.3801 [[3+4*x] ogf_with_Euler_transform] A299336 5.96731 [{(n+3)*a(n+3)-3*a(n+2)+(-12-n)*a(n+1),a(0)=1,a(1)=3,a(2)=10} ogf] A299336 7.58462 [-1/(x+1)^4/(x-1)^7 ogf] A299337 18.0727 [-(-12*x-2)/(-x^2+1) lgdogf] A299337 38.4698 [[2+5*x] ogf_with_Euler_transform] A299337 6.02424 [{(n+3)*a(n+3)-2*a(n+2)+(-13-n)*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A299337 7.26136 [-1/(x+1)^5/(x-1)^7 ogf] A299338 17.8578 [-(-13*x-1)/(-x^2+1) lgdogf] A299338 38.0199 [[1+6*x] ogf_with_Euler_transform] A299338 5.95259 [{(n+3)*a(n+3)-a(n+2)+(-14-n)*a(n+1),a(0)=1,a(1)=1,a(2)=7} ogf] A299338 6.32755 [-1/(x+1)^6/(x-1)^7 ogf] A299412 8.45075 [-(9*x^5+23*x^4+82*x^3+52*x^2+44*x+6)/(3*x^6+5*x^5+10*x^4-x^3-11*x^2-4*x-2) lgdogf] A299412 8.59646 [3*x*(3*x^4+5*x^3+13*x^2+4*x+2)/(x+1)^3/(x-1)^4 ogf] A299443 7.60223 [f(x)^2*x^4+2*f(x)^2*x^3+7*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A299443 9.40776 [-(2*x^3+3*x^2+7*x-3)/(x^4+2*x^3+7*x^2-6*x+1) lgdogf] A299473 99.9999 Evaluated at exp(-Pi) 3*exp(-1/24*Pi)/Pi^(1/4)*2^(3/8)*GAMMA(3/4) A299474 99.9999 Evaluated at exp(-Pi) 4*exp(-1/24*Pi)/Pi^(1/4)*2^(3/8)*GAMMA(3/4) A299501 7.89842 [-f(x)^2*x^4+2*f(x)^2*x^3-7*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A299501 9.77430 [-(2*x^3-3*x^2+7*x-3)/(x^4-2*x^3+7*x^2-6*x+1) lgdogf] A299502 7.21418 [16*f(x)^2*x^4+8*f(x)^2*x^3+f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A299502 8.69177 [-(32*x^3+12*x^2+x-3)/(16*x^4+8*x^3+x^2-6*x+1) lgdogf] A299507 3.28104 [{(-n^2-n)*a(n)+(13*n^2+17*n+4)*a(n+1)+(13*n^2+61*n+70)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=1,a(1)=3,a(2)=33} ogf] A299507 6.20737 [f(x)^2*x^2-14*f(x)^2*x-f(x)*x^2+f(x)^2+14*f(x)*x-f(x)-3*x ogf] A299529 5.14194 [-(20519*f(x)+250205)*(-17*x^3-35*x^2+f(x)-35*x-5) ogf] A299529 5.40905 [{a(n+4),a(0)=5,a(1)=35,a(2)=35,a(3)=17} ogf] A299530 5.01104 [-(404889*f(x)+6929861)*(-17*x^3-38*x^2+f(x)-45*x-10) ogf] A299530 5.39651 [{a(n+4),a(0)=10,a(1)=45,a(2)=38,a(3)=17} ogf] A299576 4.00496 [(x-1)*(x^11+2*x^10-2*x^9-5*x^7-14*x^6-10*x^5-5*x^4-5*x^3+7*x^2+1)/(x^9-2*x^6-2*x^5-4*x^4+x^3+x^2+2*x-1) ogf] A299590 9.14242 [-(x^7-x^4+2*x^2+3)/(x^2+1)/(x^3+x^2+x-1) ogf] A299591 5.44192 [-(3*x^8+4*x^7-6*x^6-12*x^5+x^4+8*x^3-x^2-5)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A299592 5.19020 [-(10*x^8+14*x^7-10*x^6-33*x^5-9*x^4-2*x^3-3*x^2-8)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A299593 4.85549 [-(29*x^8+39*x^7-23*x^6-92*x^5-42*x^4-32*x^3-7*x^2-2*x-13)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A299594 4.90574 [-(73*x^8+102*x^7-49*x^6-234*x^5-127*x^4-96*x^3-18*x^2-5*x-21)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A299639 10.8629 [-x*(51453*x^3-52162*x^2+3*x-4)/(x-1)^2 ogf] A299639 4.66467 [(65783041368882442966917945*f(x)+131391884677193788212734256044864)*(51453*x^4+f(x)*x^2-52162*x^3-2*f(x)*x+3*x^2+f(x)-4*x) ogf] A299639 7.41117 [-(-51453*x^3+154359*x^2-104321*x-5)/(51453*x^4-103615*x^3+52165*x^2-7*x+4) lgdogf] A299640 8.86133 [-x*(50743*x^6-51120*x^5-314*x^4-13*x^3-5*x^2-1)/(x-1)^2 ogf] A299641 12.0706 [(4*x^3+5*x^2+4*x+4)/(x^2+1)/(x+1)/(x-1)^2 ogf] A299645 10.5434 [-x*(x+3)*(3*x+1)/(x+1)^2/(x-1)^3 ogf] A299645 11.2280 [-(-9*x^3-43*x^2-31*x-13)/(-3*x^4-10*x^3+10*x+3) lgdogf] A299646 10.3255 [-(-x^3+5*x^2+38*x+14)/(-x^4+5*x^3+6*x^2-9*x-1) lgdogf] A299646 10.8551 [-(x^3-4*x^2-10*x-1)/(x-1)^4 ogf] A299646 4.03188 [{(6481*n^2+39287*n+52650)*a(n+1)+(1318*n^2+45314*n+124080)*a(n+2)+(-7799*n^2-41761*n-55092)*a(n+3),a(0)=1,a(1)=14,a(2)=54} ogf] A299646 5.53395 [(20711712*f(x)+194693419)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-4*x^2+f(x)-10*x-1) ogf] A299647 11.7972 [-(-3*x^3-13*x^2-20*x-8)/(-3*x^4-5*x^3+5*x+3) lgdogf] A299647 14.3114 [(3*x^2+5*x+3)/(x+1)/(x-1)^2 ogf] A299647 7.72562 [{-a(n+3)+a(n+2)+a(n+1)-a(n),a(0)=3,a(1)=8,a(2)=14} ogf] A299647 7.7946 [(7*f(x)-13)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-5*x-3) ogf] A299649 6.89340 [-(6*x^4+x^3-3*x^2-4*x-4)/(6*x^5+x^4-9*x^3-5*x^2-7*x+1) ogf] A299656 4.14641 [-(x+1)*(24*x^6+8*x^5+13*x^4+10*x^3+9*x^2-4)/(12*x^8+32*x^7+17*x^6+15*x^5+18*x^4+6*x^3-3*x^2-7*x+1) ogf] A299723 5.00886 [(2*x^6+10*x^5+11*x^4-17*x^3-25*x^2-12*x-1)/(2*x^6+11*x^5+25*x^4+20*x^3+8*x^2+6*x-1) ogf] A299735 4.31799 [-(24*x^7+14*x^6-25*x^5+x^4+2*x^3+20*x^2-4)/(12*x^8+20*x^7-23*x^6-5*x^5+6*x^4+13*x^3+4*x^2-8*x+1) ogf] A299784 9.87419 [-(3*x^9+7*x^8-6*x^7+x^6-4*x^5+2*x^4-4*x^3+5*x^2+5*x+5)/(x-1)/(x^2+x+1) ogf] A299785 2.34776 [-(f(x)-1)^3 ogf] A299845 3.14870 [{(n^2+2*n)*a(n+1)+(-19*n^2-50*n-30)*a(n+2)+(19*n^2+102*n+134)*a(n+3)+(-n^2-6*n-8)*a(n+4),a(0)=1,a(1)=1,a(2)=25,a(3)=425} ogf] A299845 5.48108 [f(x)^2*x^2-f(x)*x^3-18*f(x)^2*x+17*f(x)*x^2+f(x)^2+17*f(x)*x-25*x^2-f(x) ogf] A299853 11.3051 [-11664*x^4+4*f(x)^3-648*f(x)*x^2-9*f(x)^2+216*x^2+6*f(x)-1 ogf] A299853 8.02573 [{(-108*n^2+216*n-96)*a(n)+(n^2+3*n+2)*a(n+2),a(0)=1,a(1)=12,a(2)=12} ogf] A299854 17.0886 [-11664+648*f(x)-9*f(x)^2+4*f(x)^3*x^2 ogf] A299854 7.23889 [{(108*n^2+432*n+420)*a(n+1)+(-n^2-7*n-10)*a(n+3),a(0)=36,a(1)=-144,a(2)=864} ogf] A299855 18.5559 [108*x^2-1+3*f(x)^2-2*f(x)^3 ogf] A299855 7.63186 [{(-108*n^2+48)*a(n)+(n^2+3*n+2)*a(n+2),a(0)=1,a(1)=6,a(2)=-12} ogf] A299909 5.11194 [(x^10+5*x^9+7*x^8+11*x^7+12*x^6+6*x^5+12*x^4+11*x^3+7*x^2+5*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A299913 14.2782 [-x*(2*x+1)/(x+1)/(8*x^2-1) ogf] A299913 7.33203 [-(f(x)+1)*(8*f(x)*x^3+8*f(x)*x^2-f(x)*x+2*x^2-f(x)+x) ogf] A299913 7.33204 [{a(n+3)+a(n+2)-8*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A299913 9.57478 [-(-32*x^3-40*x^2-16*x-1)/(-16*x^4-24*x^3-6*x^2+3*x+1) lgdogf] A299914 12.8498 [-x*(3*x^2-x-1)/(12*x^4-9*x^2+1) ogf] A299914 7.5159 [-(648*f(x)+197)*(12*f(x)*x^4-9*f(x)*x^2+3*x^3-x^2+f(x)-x) ogf] A299915 12.4897 [-12*f(x)*x^2+9*f(x)*x-f(x)+x ogf] A299915 14.9876 [-(24*x-9)/(12*x^2-9*x+1) lgdogf] A299915 22.0406 [x/(12*x^2-9*x+1) ogf] A299915 9.13880 [{a(n+2)-9*a(n+1)+12*a(n),a(0)=0,a(1)=1} ogf] A299916 10.5274 [-(-36*x^2+24*x-6)/(-36*x^3+39*x^2-12*x+1) lgdogf] A299916 15.7912 [-(3*x-1)/(12*x^2-9*x+1) ogf] A299916 7.98236 [-(37*f(x)-1)*(12*f(x)*x^2-9*f(x)*x+f(x)+3*x-1) ogf] A299916 8.75173 [{a(n+2)-9*a(n+1)+12*a(n),a(0)=1,a(1)=6} ogf] A299921 7.06239 [-x*(x+1)*(x^6+3*x^5+6*x^4-25*x^3+6*x^2+3*x+1)/(x-1)/(x^2+x+1)/(x^6-34*x^3+1) ogf] A299958 23.1836 [x/(1-25*x)^(1/5) revogf] A299960 14.7849 [-(4*x-1)/(16*x-1)/(x-1) ogf] A299960 7.39242 [-(189*f(x)-20)*(16*f(x)*x^2-17*f(x)*x+f(x)+4*x-1) ogf] A299960 8.17515 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=1,a(1)=13} ogf] A299960 9.92697 [-(-64*x^2+32*x-13)/(-64*x^3+84*x^2-21*x+1) lgdogf] A299965 11.0583 [-2*x*(2*x+1)*(x-10)/(x-1)^4 ogf] A299965 12.1966 [-(-4*x^2+53*x+59)/(-2*x^3+21*x^2-9*x-10) lgdogf] A299965 4.04571 [{(30+10*n)*a(n+4)+(-41+9*n)*a(n+3)+(-74-21*n)*a(n+2)+(4+2*n)*a(n+1),a(0)=0,a(1)=20,a(2)=118,a(3)=348} ogf] A299965 5.60385 [(1441476*f(x)+39143765)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-38*x^2+f(x)-20*x) ogf] A300067 14.4579 [-x^3*(2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A300068 14.8336 [x^3*(x^3+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A300069 19.6562 [[x^5-2*x+2] ogf_with_Euler_transform] A300069 7.42306 [-x^3*(x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A300075 9.21855 [-x*(2*x^4+2*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A300076 17.5146 [x*(x^5+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A300159 10.9888 [-(x^2-5*x+5)/(x^3-4*x^2+5*x-2) lgdegf] A300177 4.89915 [-(853*f(x)+153)*(6*f(x)*x^3+7*f(x)*x^2+7*f(x)*x+3*x^2-f(x)+4*x+4) ogf] A300177 5.06956 [{a(n+3)-7*a(n+2)-7*a(n+1)-6*a(n),a(0)=4,a(1)=32,a(2)=255} ogf] A300177 9.55736 [-(3*x^2+4*x+4)/(6*x^3+7*x^2+7*x-1) ogf] A300178 4.42180 [-(5*x^5+x^4+5*x^3-25*x^2-16*x-8)/(10*x^6+x^5+10*x^4-51*x^3-27*x^2-14*x+1) ogf] A300203 7.81812 [-(6*x^4+7*x^3-4)/(6*x^5+13*x^4-5*x^3+2*x^2-8*x+1) ogf] A300210 4.25924 [-(24*x^7+44*x^6+21*x^5+15*x^4+13*x^3+12*x^2-4)/(12*x^8+44*x^7+25*x^6+4*x^5+15*x^4+8*x^3+4*x^2-8*x+1) ogf] A300254 11.4724 [50*(5*x^2+13*x+2)/(x-1)^4 ogf] A300254 12.6534 [-(10*x^2+49*x+21)/(5*x^3+8*x^2-11*x-2) lgdogf] A300254 4.07788 [{(2*n+8)*a(n+4)+(12+11*n)*a(n+3)+(-65-8*n)*a(n+2)+(-15-5*n)*a(n+1),a(0)=100,a(1)=1050,a(2)=3850,a(3)=9500} ogf] A300254 5.69822 [(19975040*f(x)+9500448051)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-250*x^2+f(x)-650*x-100) ogf] A300290 10.9561 [-x*(3*x^4+3*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A300293 16.3688 [x^2*(x^4+x^3+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A300344 7.45875 [-(2*x^4+2*x^3+2*x^2+x+1)/(x^5+2*x^4+3*x^3+2*x^2+x-1) ogf] A300345 5.18623 [(2*x^9+x^8-4*x^7-3*x^6-5*x^5-4*x^4+2*x^3-4*x^2+4*x+1)/(x^4+x-1)/(x^4+2*x^3+2*x^2+x-1) ogf] A300367 3.90151 [-x*(x^12-x^11-x^10-x^9+x^7+x^6-x^5-x^3-2*x^2-1)/(x^2+1)/(x^5-x^4-x^3-x-1)/(x^7-x^6+x^4+2*x^3+x^2+x-1) ogf] A300374 6.29058 [-(2*x^6-3*x^5-x^4-4*x^3-2*x^2+3*x+1)/(x^7-3*x^6+x^5+2*x^3+4*x^2-1) ogf] A300402 10.0059 [(8*f(x)-3)*(x^4+f(x)*x+x^2-f(x)+1) ogf] A300402 16.1320 [-(x^2+x+1)*(x^2-x+1)/(x-1) ogf] A300402 27.1869 [[-x^5+x+1] ogf_with_Euler_transform] A300402 7.31913 [{-a(n+5)+a(n+4),a(0)=1,a(1)=1,a(2)=2,a(3)=2,a(4)=3} ogf] A300403 11.4931 [-(-2*x^3+3*x^2+1)/(x^4-x^3+x-1) lgdogf] A300403 17.3674 [-x^2*(x^2-x+1)*(x+1)/(x-1) ogf] A300403 26.8797 [-x^5+x^2+1 ogf_with_Euler_transform] A300403 6.62317 [{-a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=1,a(4)=1,a(5)=2} ogf] A300403 8.22667 [-(14*f(x)^2+20*f(x)+5)*(x^5+f(x)*x+x^2-f(x)) ogf] A300404 10.9787 [-(-2*x^3+2*x^2+2*x+2)/(x^4-x^2+2*x-2) lgdogf] A300404 16.1320 [-(x^3+x^2+2)/(x-1) ogf] A300404 8.23402 [{a(n+4)-a(n+3),a(0)=2,a(1)=2,a(2)=3,a(3)=4} ogf] A300404 9.2996 [-(17*f(x)-23)*(x^3+f(x)*x+x^2-f(x)+2) ogf] A300415 15.6886 [x*(x^2-2*x-2)/(x-1)/(x+1) ogf_with_Euler_transform] A300415 16.7808 [-(x^3-2*x^2-2*x)/(-x^2+1) ogf_with_Euler_transform] A300421 7.65104 [(x^6-x^4-3*x^3+1)/(x^6+2*x^5+3*x^4-x^2-3*x+1) ogf] A300438 11.4758 [-(x^4+4*x^3-x^2-2*x-4)/(x^5-3*x^3-3*x^2+1) lgdogf] A300438 12.5191 [(x+1)^3/(x^4-x^3-2*x^2-x+1) ogf] A300438 7.03625 [(7*f(x)+3)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2-x^3-f(x)*x-3*x^2+f(x)-3*x-1) ogf] A300451 11.5742 [-(-14*x^2+2*x-2)/(-14*x^3+15*x^2-6*x+1) lgdogf] A300451 12.5076 [-(7*x^2-4*x+1)/(2*x-1)^3 ogf] A300451 6.86259 [(4*f(x)-13)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+7*x^2-f(x)-4*x+1) ogf] A300451 6.86260 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=2,a(2)=7} ogf] A300467 4.87441 [(x^6-2*x^4-2*x^3-10*x^2+5*x+4)/(x-1)/(x+1)/(x^5-x^4+5*x^3-2*x^2+6*x-1) ogf] A300500 6.02987 [-(2*x^6-x^5-2*x^4-6*x^3-2*x^2-x+2)/(x-1)/(x^6-x^5-4*x^3-x+1) ogf] A300522 12.2263 [5*(7*x^2+16*x+2)/(x-1)^4 ogf] A300522 12.9455 [-(14*x^2+62*x+24)/(7*x^3+9*x^2-14*x-2) lgdogf] A300522 4.23220 [{(2*n+8)*a(n+4)+(18+14*n)*a(n+3)+(-80-9*n)*a(n+2)+(-21-7*n)*a(n+1),a(0)=10,a(1)=120,a(2)=455,a(3)=1140} ogf] A300522 6.28783 [(6985*f(x)+406162)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-35*x^2+f(x)-80*x-10) ogf] A300523 11.8358 [5*(2*x^2+16*x+7)/(x-1)^4 ogf] A300523 12.7191 [-(4*x^2+52*x+44)/(2*x^3+14*x^2-9*x-7) lgdogf] A300523 4.09700 [{(7*n+28)*a(n+4)+(-17+9*n)*a(n+3)+(-80-14*n)*a(n+2)+(-6-2*n)*a(n+1),a(0)=35,a(1)=220,a(2)=680,a(3)=1540} ogf] A300523 6.08698 [(4995*f(x)+361759)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-10*x^2+f(x)-80*x-35) ogf] A300533 7.41683 [-(x^5+2*x^4+3*x^3+2*x^2-2*x-1)/(x^6-2*x^3-4*x^2-x+1) ogf] A300541 3.81456 [(x^9+3*x^8-2*x^7-7*x^6-11*x^5+2*x^4+4*x^3-7*x^2-6*x-1)/(x+1)/(2*x^7+2*x^6+2*x^5-5*x^4-3*x^3+3*x^2+6*x-1) ogf] A300574 11.6114 [-(x^6-x^5-x^4+x^2-1)/(-x^8+1) ogf_with_Euler_transform] A300574 7.65337 [(x^6-x^5-x^4+x^2-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A300575 12.5413 [-(x^6-x^4+x^2+x-1)/(-x^8+1) ogf_with_Euler_transform] A300575 8.09676 [(x^6-x^4+x^2+x-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A300576 10.2542 [-(2*x^3-6*x^2+2*x-2)/(-2*x^4+3*x^3-x^2-x+1) lgdogf] A300576 10.9379 [-f(x)*x^2+2*x^3+2*f(x)*x-x^2-f(x)+1 ogf] A300576 14.3919 [(2*x^3-x^2+1)/(x-1)^2 ogf] A300576 7.19596 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=1,a(1)=2,a(2)=2,a(3)=4} ogf] A300583 3.10484 [(236196*x^10-39366*x^9-13122*x^8+2187*x^7+1458*x^6+486*x^5-81*x^4-27*x^3+1)/(6*x-1)/(18*x^2-1)/(15309*x^7+1458*x^6-243*x^4-81*x^3+1) ogf] A300622 10.8484 [(16*f(x)-197)*(4*f(x)*x^4+x^3+2*x^2-f(x)+x+1) ogf] A300659 4.71401 [{-a(n+5),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=8} ogf] A300659 5.3704 [(1664*f(x)-1013)*(-8*x^4-6*x^3-2*x^2+f(x)-x-1) ogf] A300738 6.71390 [-x^2*(9*x^6+8*x^5-6*x^3-5*x^2-4*x-3)/(x^3+x^2-1)/(x^6-x^2-1) ogf] A300758 5.98023 [-(536*f(x)+5379)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-12*x^2+f(x)-12*x) ogf] A300760 6.72735 [-x*(8*x^5+5*x^4+6*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A300761 7.28230 [-x*(5*x^5+x^4+4*x^3+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A300781 9.68698 [(6*x^10+4*x^9-4*x^8-4*x^7-4*x^6-2*x^5-4*x^4-2*x^3-x^2-1)/(x-1) ogf] A300793 10.7659 [-(-8*x^2+8*x-3)/(-4*x^3+6*x^2-4*x+1) lgdegf] A300793 3.25008 [{(4*n^3+32*n^2+84*n+72)*a(n+1)+(-6*n^2-38*n-60)*a(n+2)+(4*n+15)*a(n+3)-a(n+4),a(0)=1,a(1)=3,a(2)=13,a(3)=75} ogf] A300793 6.82196 [-8*f(x)^2*x^4+16*f(x)^2*x^3-14*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 egf] A300799 10.3623 [-4*(2*x+1)*(x-1)/(x+1)/(5*x^2-8*x+1) ogf] A300799 5.31176 [-(1239*f(x)+22)*(5*f(x)*x^3-3*f(x)*x^2-7*f(x)*x+8*x^2+f(x)-4*x-4) ogf] A300799 5.49651 [{a(n+3)-7*a(n+2)-3*a(n+1)+5*a(n),a(0)=4,a(1)=32,a(2)=228} ogf] A300799 6.19705 [-(-10*x^4+10*x^3-2*x^2-2*x-8)/(-10*x^5+11*x^4+16*x^3-12*x^2-6*x+1) lgdogf] A300843 10.7385 [-(4*x^2+2*x-36)/(x^3-x^2-6*x+6) lgdegf] A300843 4.17967 [{(-2*n^2-12*n-18)*a(n+1)+(-n^2-7*n-18)*a(n+2)+(n+1)*a(n+3),a(0)=0,a(1)=0,a(2)=9} ogf] A300843 7.67038 [-3/4*x^2*(x^2-6)/(x-1)^6 egf] A300846 4.33664 [{(-n^2-4*n-4)*a(n+1)+(5*n^2+27*n+54)*a(n+2)+(-4*n^2-8*n-4)*a(n+3),a(0)=0,a(1)=0,a(2)=24} ogf] A300846 6.89920 [12*x^2*(x^3+12*x^2+15*x+2)/(x-1)^6 ogf] A300846 8.92838 [-(3*x^3+51*x^2+99*x+27)/(x^4+11*x^3+3*x^2-13*x-2) lgdogf] A300847 11.0623 [12*x^5/(x-1)^6 ogf] A300847 28.8409 [6/(-x+1) lgdogf] A300847 5.45639 [{(-3+n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=12} ogf] A300847 61.6634 [[6] ogf_with_Euler_transform] A300850 4.35375 [{(12*n^2+30*n)*a(n+1)+(n^2+22*n+21)*a(n+2)+(-n^2-3*n-2)*a(n+3),a(0)=0,a(1)=0,a(2)=10} ogf] A300851 4.71023 [x^2*(40*x^4-8*x^3-281*x^2+456*x+3)/(x-1)^8 egf] A300910 7.47892 [(-1-I*Pi)/(x-1)^3*(x+1)+1/(x-1)^3*(1+(x+1)*ln(x-1)) lgdegf] A300925 3.73518 [(x^9+4*x^8-x^7-11*x^6-4*x^5+9*x^4+5*x^3-3*x^2-5*x-1)/(2*x^8+6*x^7+3*x^6-6*x^5-9*x^4-3*x^3+6*x^2+6*x-1) ogf] A300950 4.74013 [(x^15+3*x^14+x^13+3*x^12+x^11+3*x^10+x^9+3*x^8+33*x^7+3*x^6+x^5+3*x^4+x^3+3*x^2+x+3)/(x+1)/(x^2+1)/(x^8+1)/(x^4+1)/(x-1)^2 ogf] A301137 6.32525 [-(2*x^11-x^9+7*x^7+26*x^6+28*x^5+28*x^4+16*x^3+9*x^2+4*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A301138 4.69308 [-(x^9+3*x^8+x^7+21*x^6+14*x^5+18*x^4+13*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)^2/(x-1)^3 ogf] A301139 4.47392 [(2*x^11-3*x^10-3*x^8-18*x^7-6*x^6-18*x^5-10*x^4-8*x^3-5*x^2-2*x-1)/(x+1)/(x^2+1)^3/(x-1)^3 ogf] A301270 6.77296 [-1/9*4^(1/3)*3^(2/3)*ln(4/3)/(x+4/3)^(1/3)+1/9*4^(1/3)*3^(2/3)/(x+4/3)^(1/3)*ln(x+4/3) revegf] A301271 6.38712 [{(n+2)*a(n+2)+(-14-16*n)*a(n+1),a(0)=1,a(1)=-2} ogf] A301272 3.54329 [{(-8*n^2-8*n)*a(n)+(-2*n^2+2*n+4)*a(n+1)+(5*n^2-4*n-1)*a(n+2)+(-n^2+n)*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=6} ogf] A301272 9.00077 [-(48*x^4+48*x^2-6)/(16*x^5+4*x^4-2*x^3+4*x^2-5*x+1) lgdogf] A301272 9.78834 [-x^3*(2*x^2+1)/(4*x-1)/(2*x-1)^2/(x+1)^2 ogf] A301281 8.96469 [(223*x^7-176*x^6-39*x^5-x^4-6*x^3-x^2-1)/(x-1) ogf] A301282 8.49399 [(224*x^7-176*x^6-39*x^5-x^4-6*x^3-2*x^2+x-2)/(x-1) ogf] A301283 5.21306 [-(x^10-x^8-3*x^7-6*x^6-6*x^5-9*x^4-5*x^3-5*x^2-2*x-1)/(x^2+x+1)/(x^2+1)^2/(x-1)^2 ogf] A301284 5.28192 [(x^10-x^8-3*x^7-6*x^6-6*x^5-9*x^4-5*x^3-5*x^2-2*x-1)/(x^2+1)^2/(x^2+x+1)/(x-1)^3 ogf] A301285 5.58267 [(x^8+2*x^7+5*x^6+7*x^5+7*x^4+7*x^3+5*x^2+2*x+1)/(x^2+x+1)/(x^2+1)^2/(x-1)^2 ogf] A301286 5.58470 [-(x^8+2*x^7+5*x^6+7*x^5+7*x^4+7*x^3+5*x^2+2*x+1)/(x^2+1)^2/(x^2+x+1)/(x-1)^3 ogf] A301287 6.30539 [-(2*x^8-2*x^7-x^6-4*x^5-2*x^4-2*x^3-4*x^2-2*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A301288 6.47636 [(2*x^8-2*x^7-x^6-4*x^5-2*x^4-2*x^3-4*x^2-2*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A301289 5.86565 [-(2*x^9-6*x^8+4*x^7-6*x^6-3*x^4-4*x^3-2*x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A301290 5.96664 [(2*x^9-6*x^8+4*x^7-6*x^6-3*x^4-4*x^3-2*x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A301291 5.63827 [(19*f(x)+28)*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x^2-3*x^3-2*f(x)*x-x^2+f(x)-3*x-1) ogf] A301291 9.75088 [(x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x-1)^2 ogf] A301292 8.35714 [-(x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x-1)^3 ogf] A301293 10.9056 [-(-4*x^3-2*x^2-2*x-4)/(-x^5-x^3+x^2+1) lgdogf] A301293 25.0060 [x^3-2*x^2-x+4 ogf_with_Euler_transform] A301293 5.67689 [(-3+19*f(x))*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x^2-2*x^3-2*f(x)*x-3*x^2+f(x)-2*x-1) ogf] A301293 9.75088 [(x^2+x+1)^2/(x^2+1)/(x-1)^2 ogf] A301294 23.4167 [x^3-2*x^2-x+5 ogf_with_Euler_transform] A301294 8.35714 [-(x^2+x+1)^2/(x^2+1)/(x-1)^3 ogf] A301294 9.25255 [-(-x^4-5*x^3-4*x^2-3*x-5)/(-x^5-x^3+x^2+1) lgdogf] A301298 10.8165 [(x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x-1)^2 ogf] A301298 6.45635 [(67*f(x)+36)*(f(x)*x^4-f(x)*x^3-x^4-4*x^3-f(x)*x-4*x^2+f(x)-4*x-1) ogf] A301299 13.7012 [(x^2+x+1)*(x^3+x^2+1)*(x^3+x+1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A301300 6.01649 [-(x^2+x+1)*(x^3+x^2+1)*(x^3+x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A301301 9.60852 [-(x^15-x^14+2*x^13-x^12-x^9-2*x^8-2*x^7-4*x^6-4*x^5-5*x^4-4*x^3-3*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A301302 4.37512 [(x^15-x^14+2*x^13-x^12-x^9-2*x^8-2*x^7-4*x^6-4*x^5-5*x^4-4*x^3-3*x^2-2*x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A301318 14.6453 [-x*(x^4+2*x^3-3*x^2-2*x-1)/(x^6-6*x^3+1) ogf] A301379 4.73386 [-(2*x^7-26*x^6-28*x^5+40*x^4+37*x^3-13*x^2-10*x-1)/(6*x^9-4*x^8-142*x^7-92*x^6+234*x^5+170*x^4-77*x^3-59*x^2-4*x+1) ogf] A301380 4.77706 [-(30*x^7+24*x^6-108*x^5-98*x^4+43*x^3+45*x^2+4*x-1)/(6*x^9-4*x^8-142*x^7-92*x^6+234*x^5+170*x^4-77*x^3-59*x^2-4*x+1) ogf] A301383 13.3895 [(2*x^2-3*x-1)/(x-1)/(x^2-6*x+1) ogf] A301383 6.86353 [-(7736*f(x)-75)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-2*x^2-f(x)+3*x+1) ogf] A301383 7.16455 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=10,a(2)=61} ogf] A301383 8.08672 [-(2*x^4-6*x^3+4*x^2+18*x-10)/(2*x^5-17*x^4+34*x^3-16*x^2-4*x+1) lgdogf] A301402 14.3129 [-4*(x+1)/(7*x^2+7*x-1) ogf] A301402 6.77982 [-(4417*f(x)-1284)*(7*f(x)*x^2+7*f(x)*x-f(x)+4*x+4) ogf] A301402 7.76002 [{a(n+2)-7*a(n+1)-7*a(n),a(0)=4,a(1)=32} ogf] A301402 9.75882 [-(-7*x^2-14*x-8)/(-7*x^3-14*x^2-6*x+1) lgdogf] A301403 5.23397 [-4*(x^4-6*x^3+x^2+6*x+2)/(4*x^5-29*x^4+9*x^3+40*x^2+13*x-1) ogf] A301417 8.03056 [-(x^4+3*x^3+3*x^2+x-1)/(x-1)/(x^4+4*x^3+6*x^2+4*x-1) ogf] A301420 6.17948 [-(x^2+x+1)*(x^3+3*x^2+2*x-1)/(x-1)/(x^5+5*x^4+10*x^3+10*x^2+5*x-1) ogf] A301424 5.11044 [-(x^7+6*x^6+15*x^5+20*x^4+15*x^3+6*x^2+x-1)/(x-1)/(x^7+7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x-1) ogf] A301438 11.0895 [-4*(2*x^2-1)/(5*x^3+4*x^2-8*x+1) ogf] A301438 5.49651 [{-a(n+3)+8*a(n+2)-4*a(n+1)-5*a(n),a(0)=4,a(1)=32,a(2)=232} ogf] A301438 5.49652 [-(627*f(x)+404)*(5*f(x)*x^3+4*f(x)*x^2-8*f(x)*x+8*x^2+f(x)-4) ogf] A301438 6.87064 [-(-10*x^4-x^2+12*x-8)/(-10*x^5-8*x^4+21*x^3+2*x^2-8*x+1) lgdogf] A301451 10.9349 [-(-2*x^3-14*x^2-13*x-7)/(-2*x^4-6*x^3+x^2+6*x+1) lgdogf] A301451 14.6993 [(2*x^2+6*x+1)/(x+1)/(x-1)^2 ogf] A301451 7.66377 [-(9*f(x)-785)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-6*x-1) ogf] A301451 7.93504 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=10} ogf] A301454 11.4228 [(4*x^9-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-x^2-1)/(x-1) ogf] A301459 4.09486 [32*x^2*(960*x^6-1920*x^5+1456*x^4-516*x^3+92*x^2-14*x+3)/(2*x-1)^4 ogf] A301476 11.5471 [-(-64*x^2+32*x-6)/(-32*x^3+24*x^2-8*x+1) lgdogf] A301476 3.84903 [{(n+4)*a(n+4)+(-30-8*n)*a(n+3)+(80+24*n)*a(n+2)+(-96-32*n)*a(n+1),a(0)=1,a(1)=6,a(2)=26,a(3)=100} ogf] A301476 7.47811 [-128*f(x)^2*x^4+128*f(x)^2*x^3-56*f(x)^2*x^2+12*f(x)^2*x-f(x)^2+1 ogf] A301483 6.32292 [-(338*f(x)-85)*(f(x)*x^4+2*f(x)*x^3-4*f(x)*x+x^2+f(x)+x-1) ogf] A301504 15.2052 [-(x^4+x^3-x+1)/(x^8-1) ogf_with_Euler_transform] A301504 8.96481 [-(x^4+x^3-x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A301505 12.5494 [-(x^6-x^5+x^3+x^2)/(x^8-1) ogf_with_Euler_transform] A301505 8.10331 [-x^2*(x^4-x^3+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A301507 15.0439 [-(-x^5-x^4+x^3-1)/(-x^8+1) ogf_with_Euler_transform] A301507 9.11623 [-(x^5+x^4-x^3+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A301508 14.3474 [-(x^6-x^3+x^2+x)/(x^8-1) ogf_with_Euler_transform] A301508 8.69418 [-x*(x^5-x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A301562 13.3622 [-(-x^6-x^5+x^3-1)/(-x^10+1) ogf_with_Euler_transform] A301562 5.8952 [-(x^6+x^5-x^3+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301563 14.5259 [-(-x^7-x^2+x-1)/(-x^10+1) ogf_with_Euler_transform] A301563 6.16949 [-(x^7+x^2-x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301564 13.6064 [-(-x^8+x^7-x^6-x)/(-x^10+1) ogf_with_Euler_transform] A301564 5.83605 [-x*(x^7-x^6+x^5+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301565 12.3905 [-(x^8-x^5+x^3+x^2)/(x^10-1) ogf_with_Euler_transform] A301565 5.81789 [-x^2*(x^6-x^3+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301567 13.9511 [-(-x^5-x^4+x-1)/(-x^10+1) ogf_with_Euler_transform] A301567 5.92473 [-(x^5+x^4-x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301568 12.7040 [-(x^6+x^4-x^3+x)/(x^10-1) ogf_with_Euler_transform] A301568 5.44897 [-x*(x^5+x^3-x^2+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301569 11.8404 [-(-x^7+x^5-x^4-x^2)/(-x^10+1) ogf_with_Euler_transform] A301569 5.40595 [-x^2*(x^5-x^3+x^2+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301570 11.7455 [-(-x^8+x^7-x^4-x^3)/(-x^10+1) ogf_with_Euler_transform] A301570 5.51448 [-x^3*(x^5-x^4+x+1)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A301571 10.9697 [-x*(3*x-2)*(3*x-5)/(3*x-1)/(x-1)^2 ogf] A301571 5.48487 [{-a(n+4)+5*a(n+3)-7*a(n+2)+3*a(n+1),a(0)=0,a(1)=10,a(2)=29,a(3)=84} ogf] A301571 6.02436 [(1300*f(x)-759)*(3*f(x)*x^3-7*f(x)*x^2+9*x^3+5*f(x)*x-21*x^2-f(x)+10*x) ogf] A301571 8.16636 [-(27*x^3-99*x^2+93*x-29)/(27*x^4-99*x^3+123*x^2-61*x+10) lgdogf] A301588 14.5563 [-(2*x^4-x^3+x+1)/(x^6-1) ogf_with_Euler_transform] A301588 7.93834 [-(2*x^4-x^3+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A301589 14.2399 [-(2*x+1)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A301589 19.6832 [-(-2*x-1)/(-x^3+1) ogf_with_Euler_transform] A301601 10.2041 [-(x^8-x^7+10*x^3-10*x^2+17*x-18)/(x-1)^2 ogf] A301610 3.59970 [-(x^9-6*x^8+2*x^7+7*x^6+3*x^5-12*x^4-8*x^3+6*x^2+7*x+1)/(x^4-x^2+1)/(x^6-5*x^5-2*x^4-x^3+11*x^2+4*x-1) ogf] A301617 9.75590 [(17*x^4+36*x^3+18*x^2+18*x+1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A301621 9.90079 [(7*x^4+36*x^3+18*x^2+18*x+11)/(x^2+1)/(x+1)/(x-1)^2 ogf] A301622 9.78005 [(23*x^4+18*x^3+18*x^2+18*x+13)/(x^2+1)/(x+1)/(x-1)^2 ogf] A301623 9.78005 [(13*x^4+18*x^3+18*x^2+18*x+23)/(x^2+1)/(x+1)/(x-1)^2 ogf] A301628 9.75590 [(11*x^4+18*x^3+18*x^2+36*x+7)/(x^2+1)/(x+1)/(x-1)^2 ogf] A301647 10.9558 [-(-3*x^3-7*x^2-25*x-13)/(-x^4-x^3-3*x^2+x+4) lgdogf] A301647 11.0910 [2*x*(x^2+x+4)/(x+1)/(x-1)^4 ogf] A301653 13.9402 [x*(2*x+1)/(x-1)/(x+1)/(x^2+x-1) ogf] A301653 6.81287 [-(460*f(x)+281)*(f(x)*x^4+f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)-x) ogf] A301653 9.43866 [-(6*x^4+8*x^3-x^2-4*x-3)/(2*x^5+3*x^4-3*x^3-4*x^2+x+1) lgdogf] A301654 10.5849 [x^2*(x^2-x-1)/(x^2+x+1)/(x-1)^3 ogf] A301654 4.26405 [{(n^2+9*n+16)*a(n+1)+(2*n+8)*a(n+2)+(2*n+8)*a(n+3)+(-n^2-7*n-8)*a(n+4),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A301654 9.37202 [-(-3*x^4+2*x^3+5*x^2+2*x+3)/(-x^5+x^4+x^3+x^2-x-1) lgdogf] A301657 11.7931 [-(3*x^3+2*x^2+2*x-3)/(x^3+x^2+x-1)/(x-1) ogf] A301657 6.72315 [-(10*f(x)-21)*(f(x)*x^4+3*x^3-2*f(x)*x+2*x^2+f(x)+2*x-3) ogf] A301658 7.82586 [-(5*x^4-6*x^3-8*x^2-4*x+5)/(x-1)/(x^4-x^3-2*x^2-x+1) ogf] A301659 3.65086 [-(16*x^10+2*x^9-x^8-20*x^7-40*x^6-6*x^5-12*x^4+20*x^3+4*x^2+15*x-8)/(x-1)/(x^3+x-1)/(2*x^7+x^6-2*x^5-2*x^4-3*x^3-2*x^2-x+1) ogf] A301670 5.64919 [-(2*x^9-x^8-5*x^7-16*x^6-21*x^5-22*x^4-19*x^3-12*x^2-5*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A301671 6.57633 [(2*x^9-x^8-5*x^7-16*x^6-21*x^5-22*x^4-19*x^3-12*x^2-5*x-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A301672 7.04942 [(x^3+2*x^2+x+1)*(x^3+x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A301673 8.31248 [-(x^3+2*x^2+x+1)*(x^3+x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A301674 6.42500 [-(2*x^8-x^7-5*x^6-18*x^5-20*x^4-20*x^3-12*x^2-5*x-1)/(x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A301675 7.84293 [(2*x^8-x^7-5*x^6-18*x^5-20*x^4-20*x^3-12*x^2-5*x-1)/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A301676 7.74603 [-(x^2+1)*(x^4-x^3-2*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^2+x+1)^2 ogf] A301677 8.21346 [(x^2+1)*(x^4-x^3-2*x^2-2*x-1)*(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A301678 10.3035 [-(x+1)*(2*x^11-2*x^10-x^9-3*x^8-3*x^7-7*x^6-4*x^5-6*x^4-5*x^3-3*x^2-3*x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A301679 5.69323 [(x+1)*(2*x^11-2*x^10-x^9-3*x^8-3*x^7-7*x^6-4*x^5-6*x^4-5*x^3-3*x^2-3*x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A301680 14.0652 [-(x+1)*(x^7-x^6-x^5-x^4-2*x^2-x-1)*(x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A301681 7.75310 [(x+1)*(x^7-x^6-x^5-x^4-2*x^2-x-1)*(x^3+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A301682 12.2429 [-(6*x^7+12*x^6+54*x^5+54*x^4+54*x^3+54*x^2+12*x+6)/(x^9+6*x^8+6*x^7+15*x^6-15*x^3-6*x^2-6*x-1) lgdogf] A301682 19.5887 [(x^6+6*x^5+6*x^4+16*x^3+6*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A301683 9.97145 [-(x^6+6*x^5+6*x^4+16*x^3+6*x^2+6*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A301684 18.9568 [-(2*x^8-2*x^6-3*x^4-3*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A301684 9.58141 [-(8*x^10-2*x^9-6*x^8-14*x^7+2*x^6+18*x^5+14*x^4+28*x^3+20*x^2+12*x+4)/(-2*x^11+2*x^9+2*x^8+3*x^7+x^6+4*x^5-2*x^3-4*x^2-3*x-1) lgdogf] A301685 10.0255 [(2*x^8-2*x^6-3*x^4-3*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x-1)^3 ogf] A301686 9.16424 [(x^6+5*x^5+7*x^4+12*x^3+7*x^2+5*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A301687 10.3519 [-(x^6+5*x^5+7*x^4+12*x^3+7*x^2+5*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A301688 9.16424 [(x^6+4*x^5+9*x^4+10*x^3+9*x^2+4*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A301689 9.67127 [-(x^6+4*x^5+9*x^4+10*x^3+9*x^2+4*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A301690 13.6256 [(x^2+x+1)*(x^8+5*x^7+4*x^5+8*x^4+4*x^3+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A301691 7.49238 [-(x^2+x+1)*(x^8+5*x^7+4*x^5+8*x^4+4*x^3+5*x+1)/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A301692 11.8720 [-(x^5-x^4-x^3-x-1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A301693 13.8454 [(x^5-x^4-x^3-x-1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^3 ogf] A301694 10.7691 [(x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A301694 6.42808 [(23*f(x)+27)*(f(x)*x^4-f(x)*x^3-x^4-5*x^3-f(x)*x-4*x^2+f(x)-5*x-1) ogf] A301695 9.24830 [-(x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x-1)^3 ogf] A301696 11.2831 [-(-x^3-7*x^2-4*x-6)/(-x^4-x^3+x+1) lgdogf] A301696 32.3137 [x^2-4*x+6 ogf_with_Euler_transform] A301696 8.73529 [-(x+1)^4/(x^2+x+1)/(x-1)^3 ogf] A301697 10.2382 [-(5*x^9+5*x^8+13*x^7+9*x^6+16*x^5+16*x^4+9*x^3+13*x^2+5*x+5)/(x^11+2*x^10+4*x^8-2*x^7+5*x^6-5*x^5+2*x^4-4*x^3-2*x-1) lgdogf] A301697 15.2260 [(x^6+3*x^5+2*x^4+4*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A301698 9.24120 [-(x^6+3*x^5+2*x^4+4*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A301699 5.31269 [(41*f(x)-7)*(4*f(x)*x^4+6*f(x)*x^3-4*f(x)*x^2+2*x^3-3*f(x)*x+x^2+f(x)-x) ogf] A301699 9.75207 [-x*(2*x-1)*(x+1)/(2*x^2-1)/(2*x^2+3*x-1) ogf] A301708 5.64097 [(29*f(x)+60)*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x^2-4*x^3-2*f(x)*x-x^2+f(x)-4*x-1) ogf] A301708 9.75555 [(x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x-1)^2 ogf] A301709 11.0805 [-(x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x-1)^3 ogf] A301710 5.64097 [(14+29*f(x))*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x^2-3*x^3-2*f(x)*x-3*x^2+f(x)-3*x-1) ogf] A301710 9.75555 [(x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x-1)^2 ogf] A301711 10.2886 [-(x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x-1)^3 ogf] A301712 11.7976 [(x^8+3*x^7+x^6+2*x^5+4*x^4+2*x^3+x^2+3*x+1)*(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A301713 5.16053 [-(x^8+3*x^7+x^6+2*x^5+4*x^4+2*x^3+x^2+3*x+1)*(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A301714 11.7503 [(x^10+4*x^9+7*x^8+4*x^7+6*x^6+10*x^5+6*x^4+4*x^3+7*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A301715 5.96181 [-(x^10+4*x^9+7*x^8+4*x^7+6*x^6+10*x^5+6*x^4+4*x^3+7*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^3 ogf] A301716 7.06142 [(x^8+6*x^7+12*x^6+17*x^5+12*x^4+17*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A301717 7.05815 [-(x^8+6*x^7+12*x^6+17*x^5+12*x^4+17*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A301718 8.95965 [(x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A301719 9.45404 [-(x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A301720 11.0763 [-(-6*x^7-18*x^6-54*x^5-66*x^4-66*x^3-54*x^2-18*x-6)/(-x^9-6*x^8-9*x^7-15*x^6-3*x^5+3*x^4+15*x^3+9*x^2+6*x+1) lgdogf] A301720 19.6912 [(x^6+6*x^5+9*x^4+16*x^3+9*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A301721 9.81891 [-(x^6+6*x^5+9*x^4+16*x^3+9*x^2+6*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A301722 12.1186 [-(2*x^7-3*x^6+2*x^5-x^4+18*x^3+15*x^2+10*x+5)/(-x^8+x^7+2*x^6+3*x^5+2*x^4-x^3-2*x^2-3*x-1) lgdogf] A301722 20.9581 [-(x^2+1)*(x^2-2*x-1)*(x+1)^2/(x^2+x+1)/(x-1)^2 ogf] A301723 8.51576 [(x^2+1)*(x^2-2*x-1)*(x+1)^2/(x^2+x+1)/(x-1)^3 ogf] A301724 10.6673 [(x^10+4*x^9+6*x^7+x^6+3*x^5+x^4+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A301725 4.88689 [-(x^10+4*x^9+6*x^7+x^6+3*x^5+x^4+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A301726 9.73464 [(x^2+x+1)*(x^8+2*x^7+3*x^4+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A301727 5.62542 [-(x^2+x+1)*(x^8+2*x^7+3*x^4+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A301728 9.15888 [(2*x^2+x+1)*(x^4+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A301729 6.60807 [-f(x)*x^4+2*f(x)*x^3+x^4-2*f(x)*x^2-x^3+2*f(x)*x+3*x^2-f(x)-x+1 ogf] A301729 9.56226 [(x^4-x^3+3*x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A301730 7.53368 [(x+1)*(x^7-2*x^6+3*x^5+2*x^4+2*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A301739 7.72374 [(x^4+x^3+2*x^2+2*x+2)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A301740 7.06183 [-(x^6+2*x^5+5*x^4+5*x^3+6*x^2+3*x+3)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A301755 7.03948 [(10*f(x)+19)*(-5*x^2+f(x)-7*x-3) ogf] A301772 9.45773 [2*x*(2*x^3-x^2+1)/(x^3-x^2-2*x-1)/(x^3-x^2+2*x-1) ogf] A301773 12.0350 [-4*x*(x-1)*(x+1)/(x^2+x+1)/(x^2-3*x+1) ogf] A301773 6.15965 [(17*f(x)-30)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+4*x^3-2*f(x)*x+f(x)-4*x) ogf] A301773 7.82276 [-(2*x^5-2*x^4-4*x^3+8*x^2+2)/(x^6-2*x^5-2*x^4+2*x^2+2*x-1) lgdogf] A301774 10.2331 [-2*(x+1)*(x^2-3*x-1)/(x^2+x+1)/(x^2-3*x+1) ogf] A301774 5.28824 [-(22170*f(x)+35173)*(f(x)*x^4-2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x-4*x^2+f(x)-8*x-2) ogf] A301775 5.09467 [-(22170*f(x)+79513)*(f(x)*x^4-2*f(x)*x^3+2*x^4-f(x)*x^2-2*x^3-2*f(x)*x-6*x^2+f(x)-12*x) ogf] A301775 9.56806 [-2*x*(x^3-x^2-3*x-6)/(x^2+x+1)/(x^2-3*x+1) ogf] A301779 14.1798 [-4*(x+1)/(4*x^2+7*x-1) ogf] A301779 6.93577 [-(241*f(x)+60)*(4*f(x)*x^2+7*f(x)*x-f(x)+4*x+4) ogf] A301779 7.68783 [{a(n+2)-7*a(n+1)-4*a(n),a(0)=4,a(1)=32} ogf] A301779 9.81677 [-(-4*x^2-8*x-8)/(-4*x^3-11*x^2-6*x+1) lgdogf] A301780 3.17619 [-(123194*f(x)+166559)*(64*f(x)*x^4+16*f(x)*x^3-20*f(x)*x^2+64*x^3-13*f(x)*x+16*x^2+f(x)-24*x-8) ogf] A301780 5.97427 [-8*(2*x+1)*(4*x^2-x-1)/(64*x^4+16*x^3-20*x^2-13*x+1) ogf] A301785 5.03478 [(x-1)*(x^8+x^7-7*x^6-7*x^5+9*x^4+4*x^3-8*x^2+1)/(x^2-3*x+1)/(x^2+x-1)^3 ogf] A301786 10.5981 [-(3*x^3+2*x^2-4*x-5)/(x^4-2*x^2-x+1) ogf] A301786 5.85016 [-(19*f(x)-41)*(f(x)*x^4-2*f(x)*x^2+3*x^3-f(x)*x+2*x^2+f(x)-4*x-5) ogf] A301787 11.8744 [-(5*x^3+3*x^2+2*x-8)/(x^3+x^2+x-1)/(x-1) ogf] A301787 6.64531 [-(142*f(x)-547)*(f(x)*x^4+5*x^3-2*f(x)*x+3*x^2+f(x)+2*x-8) ogf] A301788 6.96449 [-(8*x^5+13*x^4+16*x^3+10*x^2-9*x-13)/(x^6+x^5+x^4-2*x^2-x+1) ogf] A301789 7.79400 [-(13*x^5+8*x^4+18*x^3+11*x^2+7*x-21)/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A301791 10.8328 [(x^4-x^3-4*x^2+x+2)/(x^2+x-1)/(x-1) ogf] A301791 5.88551 [{a(n+5)-2*a(n+4)+a(n+2),a(0)=2,a(1)=5,a(2)=6,a(3)=9,a(4)=14} ogf] A301791 6.85743 [(7*f(x)+8)*(f(x)*x^3-x^4+x^3-2*f(x)*x+4*x^2+f(x)-x-2) ogf] A301792 10.5970 [(4*x^4-3*x^3-14*x^2+5*x+4)/(x^2+x-1)/(x-1) ogf] A301792 5.70607 [{-a(n+5)+2*a(n+4)-a(n+2),a(0)=4,a(1)=13,a(2)=12,a(3)=17,a(4)=25} ogf] A301792 6.34007 [-(80*f(x)+599)*(f(x)*x^3-4*x^4+3*x^3-2*f(x)*x+14*x^2+f(x)-5*x-4) ogf] A301793 10.1229 [(15*x^4-8*x^3-44*x^2+18*x+8)/(x^2+x-1)/(x-1) ogf] A301793 5.60652 [{a(n+5)-2*a(n+4)+a(n+2),a(0)=8,a(1)=34,a(2)=24,a(3)=32,a(4)=45} ogf] A301793 5.87779 [(490063*f(x)+12965504)*(f(x)*x^3-15*x^4+8*x^3-2*f(x)*x+44*x^2+f(x)-18*x-8) ogf] A301794 10.1446 [(49*x^4-19*x^3-130*x^2+57*x+16)/(x^2+x-1)/(x-1) ogf] A301794 5.55361 [-(131975141*f(x)+11336857034)*(f(x)*x^3-49*x^4+19*x^3-2*f(x)*x+130*x^2+f(x)-57*x-16) ogf] A301794 5.80798 [{-a(n+5)+2*a(n+4)-a(n+2),a(0)=16,a(1)=89,a(2)=48,a(3)=61,a(4)=82} ogf] A301795 8.83665 [(x^5+151*x^4-44*x^3-370*x^2+169*x+32)/(x^2+x-1)/(x-1) ogf] A301796 7.81135 [(x^6+6*x^5+443*x^4-99*x^3-1028*x^2+482*x+64)/(x^2+x-1)/(x-1) ogf] A301803 8.67989 [-(5*x^6+7*x^5-43*x^4+12*x^3+10*x^2-49*x+9)/(10*x-1)/(x+1)/(x^2-x+1) ogf] A301809 9.07016 [(x-1)*(x^4-x^3-4*x^2+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A301819 7.11207 [-(2*x^4-4*x^3+3*x^2-4*x+2)/(x^2-3*x+1)/(x-1)^3 ogf] A301820 5.63838 [(2*x^6-9*x^5+20*x^4-19*x^3+4*x^2+6*x-3)/(4*x-1)/(x-1)^4 ogf] A301836 10.6264 [-(4*x^2+3*x-4)/(8*x^2-7*x+1) ogf] A301836 5.36378 [{a(n+3)-7*a(n+2)+8*a(n+1),a(0)=4,a(1)=25,a(2)=139} ogf] A301836 5.57621 [-(103*f(x)+213)*(8*f(x)*x^2-7*f(x)*x+4*x^2+f(x)+3*x-4) ogf] A301836 7.22047 [-(52*x^2-72*x+25)/(32*x^4-4*x^3-49*x^2+31*x-4) lgdogf] A301837 5.49098 [-(40*x^5-110*x^4+84*x^3-7*x^2-23*x+8)/(16*x^5-57*x^4+72*x^3-46*x^2+13*x-1) ogf] A301842 7.72532 [(x^5-x^4-2*x^3-x^2+2*x+2)/(2*x^4-x^2-3*x+1) ogf] A301877 6.98463 [(x-1)*(x^8+2*x^7+x^6-3*x^5-5*x^4-5*x^3+x+1)/(x^3-x^2-1)/(x^3+x-1)/(x^3+2*x^2+x-1) ogf] A301879 11.3232 [-(x^2+7*x+3)/(2*x^3+6*x^2+x-1) ogf] A301879 5.61558 [-(22810*f(x)-12077)*(2*f(x)*x^3+6*f(x)*x^2+f(x)*x+x^2-f(x)+7*x+3) ogf] A301879 6.05892 [{a(n+3)-a(n+2)-6*a(n+1)-2*a(n),a(0)=3,a(1)=10,a(2)=29} ogf] A301879 6.70599 [-(-2*x^4-28*x^3-59*x^2-38*x-10)/(-2*x^5-20*x^4-49*x^3-24*x^2+4*x+3) lgdogf] A301880 4.86338 [-(2*x^7+x^6-26*x^5+61*x^3+20*x^2-13*x-5)/(x^8-12*x^6-x^5+38*x^4+2*x^3-12*x^2-x+1) ogf] A301881 4.08977 [-(256*x^8-128*x^7+260*x^6-96*x^5-319*x^4+83*x^3+92*x^2-11*x-8)/(2*x+1)/(2*x-1)/(4*x-1)/(2*x^2-1)/(4*x^2-x-1) ogf] A301885 7.03798 [-(2*x^6-x^5-4*x^4-4*x^3+x+2)/(x-1)/(x^2+1)/(x^4-x^3-2*x^2-x+1) ogf] A301897 8.04062 [-f(x)^3*x^3-4*f(x)^2*x^2+3*f(x)^2*x-f(x)^2-5*f(x)*x+3*f(x)-2 ogf] A301898 4.85965 [{(16*n^3+192*n^2+764*n+1008)*a(n+1)+(-n-2)*a(n+3),a(0)=12,a(1)=120,a(2)=5040} egf] A301902 10.9252 [-(4*x^2+x-1)/(4*x^3-x^2-3*x+1) ogf] A301902 5.69608 [-(31*f(x)-36)*(4*f(x)*x^3-f(x)*x^2-3*f(x)*x+4*x^2+f(x)+x-1) ogf] A301902 5.95036 [{a(n+3)-3*a(n+2)-a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=3} ogf] A301902 7.32352 [-(16*x^4+8*x^3-x^2-6*x+2)/(16*x^5-17*x^3+2*x^2+4*x-1) lgdogf] A301903 6.36252 [-(12*x^5+34*x^4+5*x^3-15*x^2-x+1)/(x-1)/(4*x-1)/(2*x+1)/(2*x-1)/(x+1) ogf] A301946 10.9408 [-(x^2-x-1)/(2*x^3-x^2-4*x+1) ogf] A301946 10.9408 [-(x^2-x-1)/(2*x^3-x^2-4*x+1) ogf] A301946 5.65586 [-(229*f(x)+71)*(2*f(x)*x^3-f(x)*x^2-4*f(x)*x+x^2+f(x)-x-1) ogf] A301946 5.90611 [{-a(n+3)+4*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=5,a(2)=20} ogf] A301946 7.25424 [-(-2*x^4+4*x^3+x^2-5)/(-2*x^5+3*x^4+5*x^3-6*x^2-3*x+1) lgdogf] A301947 5.66465 [(2*x^5+3*x^4-4*x^3-5*x^2-2*x+2)/(x^6-4*x^5-4*x^4+14*x^3+8*x^2-9*x+1) ogf] A301947 5.87842 [(2*x^5+3*x^4-4*x^3-5*x^2-2*x+2)/(x^6-4*x^5-4*x^4+14*x^3+8*x^2-9*x+1) ogf] A301959 11.4169 [-(x^2+3*x+3)/(2*x^3+3*x^2+x-1) ogf] A301959 11.4169 [-(x^2+3*x+3)/(2*x^3+3*x^2+x-1) ogf] A301959 5.9524 [-(21*f(x)-31)*(2*f(x)*x^3+3*f(x)*x^2+f(x)*x+x^2-f(x)+3*x+3) ogf] A301959 6.16310 [{a(n+3)-a(n+2)-3*a(n+1)-2*a(n),a(0)=3,a(1)=6,a(2)=16} ogf] A301959 7.17969 [-(-2*x^4-12*x^3-26*x^2-20*x-6)/(-2*x^5-9*x^4-16*x^3-11*x^2+3) lgdogf] A301960 5.04214 [{a(n+4)-2*a(n+3)-2*a(n+2)+a(n+1),a(0)=5,a(1)=9,a(2)=25,a(3)=64} ogf] A301960 5.40517 [(-3830+7479*f(x))*(f(x)*x^3-2*f(x)*x^2-x^3-2*f(x)*x+3*x^2+f(x)+x-5) ogf] A301960 9.79198 [(x^3-3*x^2-x+5)/(x+1)/(x^2-3*x+1) ogf] A301960 9.79199 [(x^3-3*x^2-x+5)/(x^2-3*x+1)/(x+1) ogf] A301961 4.97161 [-(4*x^7-8*x^6+12*x^5-4*x^4-5*x^3-11*x^2-2*x+8)/(x-1)/(x^2+x+1)/(2*x^3-3*x^2-2*x+1) ogf] A301961 5.28480 [-(4*x^7-8*x^6+12*x^5-4*x^4-5*x^3-11*x^2-2*x+8)/(x-1)/(x^2+x+1)/(2*x^3-3*x^2-2*x+1) ogf] A301965 7.81135 [(5*x^5-5*x^4-7*x^3-10*x^2+5*x+4)/(x-1)/(x^3+x^2+x-1) ogf] A301965 9.41368 [(5*x^5-5*x^4-7*x^3-10*x^2+5*x+4)/(x^3+x^2+x-1)/(x-1) ogf] A301966 4.51263 [(10*x^8-31*x^7+3*x^6+9*x^5+43*x^4+24*x^3+28*x^2-18*x-8)/(x-1)/(x^2+1)/(x^4-x^3-2*x^2-x+1) ogf] A301966 5.06380 [(10*x^8-31*x^7+3*x^6+9*x^5+43*x^4+24*x^3+28*x^2-18*x-8)/(x-1)/(x^2+1)/(x^4-x^3-2*x^2-x+1) ogf] A301972 6.73791 [-1/2*(28*I*x^3+7*x*(4*x-1)^(3/2)-66*I*x^2-4*(4*x-1)^(3/2)+31*I*x-4*I)/x^2/(4*x-1)^(3/2) ogf] A301972 6.73791 [-1/2*(7*(4*x-1)^(3/2)*x+28*I*x^3-4*(4*x-1)^(3/2)-66*I*x^2+31*I*x-4*I)/(4*x-1)^(3/2)/x^2 ogf] A301973 10.2123 [x*(6*x^2-2*x+1)/(x-1)^6 ogf] A301973 14.4544 [-(-24*x^2-2*x-4)/(-6*x^3+8*x^2-3*x+1) lgdogf] A301973 20.8785 [x*(6*x^2-2*x+1)/(x-1)^6 ogf] A301973 4.74512 [{(n+3)*a(n+4)+(-10-3*n)*a(n+3)+(6+8*n)*a(n+2)+(-24-6*n)*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=15} ogf] A301976 4.444 [-(12404*f(x)-1775)*(5*f(x)*x^4+20*f(x)*x^3+6*f(x)*x^2+3*x^3-12*f(x)*x+11*x^2+f(x)+7*x-1) ogf] A301976 8.08487 [-(x+1)*(3*x^2+8*x-1)/(5*x^4+20*x^3+6*x^2-12*x+1) ogf] A301976 8.38805 [-(x+1)*(3*x^2+8*x-1)/(5*x^4+20*x^3+6*x^2-12*x+1) ogf] A301985 11.8340 [-(-631*x^2-3390*x+4027)/(-631*x^3-433*x^2+2761*x-1697) lgdogf] A301985 14.0636 [(631*x^2+1064*x-1697)/(x-1)^3 ogf] A301985 19.8039 [(631*x^2+1064*x-1697)/(x-1)^3 ogf] A301985 6.93135 [(4074641*f(x)-4284951544781982)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-631*x^2-f(x)-1064*x+1697) ogf] A301985 8.01975 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1697,a(1)=4027,a(2)=6359} ogf] A301990 13.0764 [-(8*x-7)/(8*x-1)/(2*x-1) lgdegf] A301990 13.5994 [-(-8*x+7)/(-16*x^2+10*x-1) lgdegf] A301990 4.56356 [{(16*n^2+56*n+48)*a(n+1)+(-10*n-27)*a(n+2)+a(n+3),a(0)=1,a(1)=7,a(2)=111} ogf] A301990 9.85465 [64*f(x)^2*x^2-16*f(x)^2*x+f(x)^2+2*x-1 egf] A301994 10.8002 [-(2*x-1)*(x-1)/(4*x^3-7*x^2+5*x-1) ogf] A301994 11.5084 [-(2*x-1)*(x-1)/(4*x^3-7*x^2+5*x-1) ogf] A301994 6.26798 [{a(n+3)-5*a(n+2)+7*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A301994 6.32444 [(f(x)-6)*(4*f(x)*x^3-7*f(x)*x^2+5*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A301994 6.88249 [-(8*x^4-24*x^3+23*x^2-10*x+2)/(8*x^5-26*x^4+35*x^3-24*x^2+8*x-1) lgdogf] A301995 11.1302 [-2*(x^2+1)/(x-1)/(x^2-3*x+1) ogf] A301995 11.9113 [-2*(x^2+1)/(x-1)/(x^2-3*x+1) ogf] A301995 6.00835 [{a(n+3)-4*a(n+2)+4*a(n+1)-a(n),a(0)=2,a(1)=8,a(2)=26} ogf] A301995 6.1722 [(127*f(x)-72)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+2*x^2-f(x)+2) ogf] A301995 7.71526 [-(x^4-x^2-6*x+4)/(x^5-4*x^4+5*x^3-5*x^2+4*x-1) lgdogf] A302006 3.61035 [-(f(x)-3208)*(4*f(x)*x^4-f(x)*x^3-18*f(x)*x^2+8*x^3-13*f(x)*x+f(x)-24*x-8) ogf] A302006 6.96999 [-8*(x^3-3*x-1)/(4*x^4-x^3-18*x^2-13*x+1) ogf] A302006 7.06815 [-8*(x^3-3*x-1)/(4*x^4-x^3-18*x^2-13*x+1) ogf] A302007 4.25863 [-16*(9*x^5-4*x^4-17*x^3+x^2+8*x+1)/(x^2-x-1)/(37*x^4-3*x^3-56*x^2-25*x+1) ogf] A302007 4.47517 [-16*(9*x^5-4*x^4-17*x^3+x^2+8*x+1)/(x^2-x-1)/(37*x^4-3*x^3-56*x^2-25*x+1) ogf] A302011 4.82538 [8*(4*x^2-x-1)*(8*x^3-2*x-1)/(64*x^4+16*x^3-20*x^2-13*x+1) ogf] A302011 5.39611 [8*(4*x^2-x-1)*(8*x^3-2*x-1)/(64*x^4+16*x^3-20*x^2-13*x+1) ogf] A302017 3.862 [-(x^18+x^17+x^15+x^14-x^11-x^9-x^8-x^6+1)/(x^19-x^18-x^17+x^16-2*x^15-x^14-x^13-x^12+x^11-x^10+2*x^9+x^8+2*x^6+x^5+x^4+x^2+x-1) ogf] A302017 3.86200 [-(x^18+x^17+x^15+x^14-x^11-x^9-x^8-x^6+1)/(x^19-x^18-x^17+x^16-2*x^15-x^14-x^13-x^12+x^11-x^10+2*x^9+x^8+2*x^6+x^5+x^4+x^2+x-1) ogf] A302019 5.15249 [(x^21-x^20+x^19-x^14-x^2+x-1)/(x^21-2*x^20+x^19+x^16+x^15-x^14+x^11-x^10+x^9+x^4-x^2+2*x-1) ogf] A302019 5.27163 [(x^21-x^20+x^19-x^14-x^2+x-1)/(x^21-2*x^20+x^19+x^16+x^15-x^14+x^11-x^10+x^9+x^4-x^2+2*x-1) ogf] A302048 8.0067 [x^4*(45*x^40+21*x^16+5)/(x^45+x^21+x^5+1) lgdogf] A302064 10.1434 [-(4*x^2+7*x-4)/(6*x-1)/(2*x-1) ogf] A302064 10.7070 [-(4*x^2+7*x-4)/(6*x-1)/(2*x-1) ogf] A302064 5.45449 [{a(n+3)-8*a(n+2)+12*a(n+1),a(0)=4,a(1)=25,a(2)=148} ogf] A302064 5.72452 [-(96*f(x)+241)*(12*f(x)*x^2-8*f(x)*x+4*x^2+f(x)+7*x-4) ogf] A302064 7.05093 [-(116*x^2-104*x+25)/(48*x^4+52*x^3-100*x^2+39*x-4) lgdogf] A302065 4.82566 [-(104*x^5-198*x^4+74*x^3+60*x^2-47*x+8)/(36*x^5-124*x^4+148*x^3-76*x^2+16*x-1) ogf] A302065 4.82566 [-(104*x^5-198*x^4+74*x^3+60*x^2-47*x+8)/(36*x^5-124*x^4+148*x^3-76*x^2+16*x-1) ogf] A302076 10.3156 [-(x+3)*(2*x+1)/(4*x^3+7*x^2+x-1) ogf] A302076 5.15783 [-(11117*f(x)-6450)*(4*f(x)*x^3+7*f(x)*x^2+f(x)*x+2*x^2-f(x)+7*x+3) ogf] A302076 5.51977 [{a(n+3)-a(n+2)-7*a(n+1)-4*a(n),a(0)=3,a(1)=10,a(2)=33} ogf] A302076 9.68084 [-(x+3)*(2*x+1)/(4*x^3+7*x^2+x-1) ogf] A302077 4.25833 [-(2*x^7-4*x^6-17*x^5-x^4+52*x^3+18*x^2-13*x-5)/(x^8-x^7-14*x^6+x^5+42*x^4+x^3-14*x^2-x+1) ogf] A302077 4.25834 [-(2*x^7-4*x^6-17*x^5-x^4+52*x^3+18*x^2-13*x-5)/(x^8-x^7-14*x^6+x^5+42*x^4+x^3-14*x^2-x+1) ogf] A302078 3.88265 [-(512*x^8-256*x^7-80*x^6+52*x^5-228*x^4+61*x^3+87*x^2-11*x-8)/(2*x+1)/(2*x-1)/(32*x^5-16*x^4-26*x^3+13*x^2+3*x-1) ogf] A302078 3.97971 [-(512*x^8-256*x^7-80*x^6+52*x^5-228*x^4+61*x^3+87*x^2-11*x-8)/(2*x-1)/(2*x+1)/(32*x^5-16*x^4-26*x^3+13*x^2+3*x-1) ogf] A302113 3.46588 [{(96*n^3+144*n^2+48*n)*a(n)+(16*n^3+124*n^2+242*n+134)*a(n+1)+(6*n^2+27*n+48)*a(n+2)+(-2-n)*a(n+3),a(0)=0,a(1)=4,a(2)=108} ogf] A302115 4.11358 [-3/8*2^(1/2)*arctanh(2/3*2^(1/2))+1/2-1/2*(2*x+1)^(1/2)+3/8*2^(1/2)*arctanh(2/3*2^(1/2)*(2*x+1)^(1/2)) egf] A302115 5.20147 [{(-32*n^2+16*n)*a(n)+(-14*n-17)*a(n+1)+a(n+2),a(0)=0,a(1)=4} ogf] A302117 4.66548 [1/4*I*(I*2^(1/2)*arctanh(2^(1/2))-2^(1/2)*arctan(2^(1/2)*(2*x-1)^(1/2))-2*I+2*(2*x-1)^(1/2)) egf] A302117 5.66238 [{(8*n^2-4*n)*a(n)+(-6*n-3)*a(n+1)+a(n+2),a(0)=0,a(1)=1} ogf] A302118 3.81909 [(x^16-3*x^15-2*x^14+3*x^12+6*x^11+2*x^10-6*x^9-10*x^8-6*x^7+6*x^6+4*x^5+3*x^4-x^3-2*x^2+1)/(x-1)/(x+1)/(x^5+x^3+x-1)/(x^4+x^2-1)^2 ogf] A302119 3.88119 [(x^16-x^15+x^13+x^12+2*x^11-x^10-5*x^9-6*x^8-2*x^7+5*x^6+3*x^5+3*x^4-x^3-3*x^2+1)/(x-1)/(x+1)/(x^5+x^3+x-1)/(x^4+x^2-1)^2 ogf] A302126 13.5379 [x*(x+1)*(x-2)/(x^4+x^2-1) ogf] A302126 13.5379 [x*(x+1)*(x-2)/(x^4+x^2-1) ogf] A302126 8.09618 [-(f(x)-35)*(f(x)*x^4+f(x)*x^2-x^3+x^2-f(x)+2*x) ogf] A302130 8.00814 [(x^11-2*x^9-2*x^8-x^7+2*x^6+3*x^5-x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A302139 8.86451 [4*(44*x^12+106*x^11+28*x^8+2*x^7+4*x^5+4*x^4+3*x^3+2*x^2+x-2)/(2*x-1) ogf] A302139 9.27874 [4*(44*x^12+106*x^11+28*x^8+2*x^7+4*x^5+4*x^4+3*x^3+2*x^2+x-2)/(2*x-1) ogf] A302146 10.9141 [-(2*x^2+2*x-1)/(2*x^3+2*x^2-4*x+1) ogf] A302146 10.9141 [-(2*x^2+2*x-1)/(2*x^3+2*x^2-4*x+1) ogf] A302146 5.78921 [-(f(x)+3)*(2*f(x)*x^3+2*f(x)*x^2-4*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A302146 5.94429 [{-a(n+3)+4*a(n+2)-2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A302146 6.93500 [-(-4*x^4-8*x^3-6*x^2+8*x-2)/(-4*x^5-8*x^4+6*x^3+8*x^2-6*x+1) lgdogf] A302148 4.10374 [(20*x^8+16*x^7-63*x^6+78*x^5+35*x^4-52*x^3+7*x-1)/(x-1)/(x^2-3*x+1)/(16*x^4+28*x^3+4*x^2-9*x+1) ogf] A302148 4.13204 [(20*x^8+16*x^7-63*x^6+78*x^5+35*x^4-52*x^3+7*x-1)/(x-1)/(x^2-3*x+1)/(16*x^4+28*x^3+4*x^2-9*x+1) ogf] A302158 4.67023 [(32*x^10-32*x^9+16*x^8-32*x^7+28*x^6-24*x^5+40*x^4+14*x^3+2*x^2-6*x-3)/(4*x^7-4*x^6-6*x^4+8*x^3+x-1) ogf] A302158 4.79817 [(32*x^10-32*x^9+16*x^8-32*x^7+28*x^6-24*x^5+40*x^4+14*x^3+2*x^2-6*x-3)/(4*x^7-4*x^6-6*x^4+8*x^3+x-1) ogf] A302164 7.74067 [(8*x^5-24*x^4+8*x^3+6*x^2+x+2)/(8*x^5-16*x^4-x+1) ogf] A302164 8.1137 [(8*x^5-24*x^4+8*x^3+6*x^2+x+2)/(8*x^5-16*x^4-x+1) ogf] A302165 8.13035 [(3*x^5+x^4-3*x^3+3*x^2-2*x-4)/(2*x^4-x^3+x^2+x-1) ogf] A302165 8.49576 [(3*x^5+x^4-3*x^3+3*x^2-2*x-4)/(2*x^4-x^3+x^2+x-1) ogf] A302189 10.4776 [-(-x^2-5*x-4)/(-x^2-3*x-1) lgdegf] A302189 2.90468 [{(-n^2-5*n-6)*a(n+1)+(-n^2-10*n-21)*a(n+2)+(-3*n-13)*a(n+3)-a(n+4),a(0)=1,a(1)=-4,a(2)=23,a(3)=-184} ogf] A302189 9.77909 [-(x+4)*(x+1)/(x^2+3*x+1) lgdegf] A302190 20.8706 [x+ln(x+1) egf] A302190 4.73659 [{(n^2-n)*a(n)+(2*n^2+5*n+1)*a(n+1)+(2+2*n)*a(n+2),a(0)=0,a(1)=2} ogf] A302195 10.3581 [-(x^2+6*x+6)/(x^2+4*x+2) lgdegf] A302195 10.3581 [-(-x^2-6*x-6)/(-x^2-4*x-2) lgdegf] A302196 14.9097 [x+ln(x^2+4*x+2)-ln(2) egf] A302198 15.3111 [x+ln(x^2+3*x+1) egf] A302203 3.34715 [-(x^19-x^16+x^13-x^10+x^7-x^4+1)/(x-1)/(x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A302203 6.33683 [-(x^19-x^16+x^13-x^10+x^7-x^4+1)/(x-1)/(x^2+1)/(x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1) ogf] A302207 4.03189 [-(32*x^8-16*x^7+24*x^6-36*x^5+48*x^4-12*x^3+15*x^2-8*x-1)/(16*x^9-12*x^7+12*x^6-2*x^5+13*x^4-9*x^3+2*x^2-3*x+1) ogf] A302207 4.03190 [-(32*x^8-16*x^7+24*x^6-36*x^5+48*x^4-12*x^3+15*x^2-8*x-1)/(16*x^9-12*x^7+12*x^6-2*x^5+13*x^4-9*x^3+2*x^2-3*x+1) ogf] A302225 6.76621 [x*(4*x^4+4*x^3-8*x^2-8*x-3)/(x+1)/(2*x^2+3*x-1)/(2*x^2+1) ogf] A302225 6.83596 [x*(4*x^4+4*x^3-8*x^2-8*x-3)/(x+1)/(2*x^2+3*x-1)/(2*x^2+1) ogf] A302237 10.9025 [-(2*x^3+6*x^2+5*x+2)/(x^6-3*x^4+3*x^2-1) ogf_with_Euler_transform] A302237 11.6457 [-(x+2)*(2*x^2+2*x+1)/(x-1)^3/(x+1)^3 ogf_with_Euler_transform] A302245 8.27658 [(x^8-x^7+x^6-x^5+x^4+x^3+x+1)/(x+1)/(x-1)^2 ogf] A302245 8.98855 [(x^8-x^7+x^6-x^5+x^4+x^3+x+1)/(x+1)/(x-1)^2 ogf] A302254 13.2366 [(4*x^7+4*x^6+4*x^5-2*x^3-x-1)/(2*x^2-1) ogf] A302254 14.0039 [(4*x^7+4*x^6+4*x^5-2*x^3-x-1)/(2*x^2-1) ogf] A302255 11.8341 [x*(x^2-x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A302255 21.0015 [x^6-x^5+x^2-x+2 ogf_with_Euler_transform] A302255 7.92556 [x*(x^2-x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A302256 10.4951 [-(22*x^4-164*x^3+376*x^2-123*x+213)/(x-1)^5 ogf] A302256 7.06403 [-(22*x^4-164*x^3+376*x^2-123*x+213)/(x-1)^5 ogf] A302260 5.77606 [-(32*x^5-58*x^4-50*x^3-13*x^2+5*x+4)/(16*x^5-54*x^4+2*x^3-2*x^2+6*x-1) ogf] A302260 5.77606 [-(32*x^5-58*x^4-50*x^3-13*x^2+5*x+4)/(16*x^5-54*x^4+2*x^3-2*x^2+6*x-1) ogf] A302266 4.35909 [-(16866*f(x)-4441)*(4*f(x)*x^4+4*f(x)*x^3+f(x)*x^2+2*x^3+3*f(x)*x+3*x^2-f(x)+2*x+2) ogf] A302266 8.37849 [-(2*x^3+3*x^2+2*x+2)/(4*x^4+4*x^3+x^2+3*x-1) ogf] A302266 8.37851 [-(2*x^3+3*x^2+2*x+2)/(4*x^4+4*x^3+x^2+3*x-1) ogf] A302279 5.38239 [(37664*f(x)+138671)*(4*f(x)*x^4+4*x^4-3*f(x)*x^2+6*x^3-f(x)*x-4*x^2+f(x)-3*x) ogf] A302279 7.98287 [-x*(2*x+1)*(2*x^2+2*x-3)/(2*x-1)/(2*x^3+x^2-x-1) ogf] A302279 9.73256 [-x*(2*x+1)*(2*x^2+2*x-3)/(2*x-1)/(2*x^3+x^2-x-1) ogf] A302298 13.6477 [16*x*(x+1)*(x^2+5*x+1)/(x-1)^6 ogf] A302298 4.75368 [{(-n^2-5*n-6)*a(n+1)+(2*n^2+10*n+32)*a(n+2)+(-n^2-5*n-6)*a(n+3),a(0)=0,a(1)=16,a(2)=192} ogf] A302298 8.13611 [16*x*(x+1)*(x^2+5*x+1)/(x-1)^6 ogf] A302302 10.8441 [x*(x^2+13*x+10)/(x-1)^4 ogf] A302302 11.9604 [-(2*x^2+41*x+53)/(x^3+12*x^2-3*x-10) lgdogf] A302302 17.3045 [x*(x^2+13*x+10)/(x-1)^4 ogf] A302302 3.98681 [{(-30-10*n)*a(n+4)+(47-3*n)*a(n+3)+(53+12*n)*a(n+2)+(n+2)*a(n+1),a(0)=0,a(1)=10,a(2)=53,a(3)=153} ogf] A302302 5.42207 [(68155392*f(x)+584036425)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-13*x^2+f(x)-10*x) ogf] A302310 6.41051 [(24*x^5-36*x^4-6*x^3+7*x^2-x+2)/(x-1)/(4*x^2+1)/(4*x^2+x-1) ogf] A302310 6.535 [(24*x^5-36*x^4-6*x^3+7*x^2-x+2)/(x-1)/(4*x^2+1)/(4*x^2+x-1) ogf] A302323 10.4453 [-2*(2*x^3+4*x^2-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A302323 5.06674 [{-a(n+4)+4*a(n+3)-2*a(n+2)-4*a(n+1),a(0)=2,a(1)=8,a(2)=20,a(3)=52} ogf] A302323 5.7054 [-(f(x)-6)*(4*f(x)*x^3+2*f(x)*x^2+4*x^3-4*f(x)*x+8*x^2+f(x)-2) ogf] A302323 6.72221 [-(12*x^4+16*x^3-2*x^2-12*x+4)/(8*x^6+20*x^5-18*x^3+2*x^2+4*x-1) lgdogf] A302323 9.83974 [-2*(2*x^3+4*x^2-1)/(2*x-1)/(2*x^2+2*x-1) ogf] A302329 10.0144 [-(-x^2+2*x-61)/(-x^3+63*x^2-63*x+1) lgdogf] A302329 14.5862 [-(x-1)/(x^2-62*x+1) ogf] A302329 14.5862 [-(x-1)/(x^2-62*x+1) ogf] A302329 7.13794 [-(3780*f(x)-59)*(f(x)*x^2-62*f(x)*x+f(x)+x-1) ogf] A302329 7.98770 [{a(n+2)-62*a(n+1)+a(n),a(0)=1,a(1)=61} ogf] A302330 13.4814 [-(x-1)/(x^2-98*x+1) ogf] A302330 13.4814 [-(x-1)/(x^2-98*x+1) ogf] A302330 6.59727 [-(9504*f(x)-95)*(f(x)*x^2-98*f(x)*x+f(x)+x-1) ogf] A302330 7.38265 [{a(n+2)-98*a(n+1)+a(n),a(0)=1,a(1)=97} ogf] A302330 9.25587 [-(-x^2+2*x-97)/(-x^3+99*x^2-99*x+1) lgdogf] A302331 14.5198 [-(x-1)/(x^2-142*x+1) ogf] A302331 14.5198 [-(x-1)/(x^2-142*x+1) ogf] A302331 7.03535 [-(20020*f(x)-139)*(f(x)*x^2-142*f(x)*x+f(x)+x-1) ogf] A302331 7.93522 [{a(n+2)-142*a(n+1)+a(n),a(0)=1,a(1)=141} ogf] A302331 9.74899 [-(-x^2+2*x-141)/(-x^3+143*x^2-143*x+1) lgdogf] A302332 10.3293 [-(-x^2+2*x-193)/(-x^3+195*x^2-195*x+1) lgdogf] A302332 15.384 [-(x-1)/(x^2-194*x+1) ogf] A302332 15.3840 [-(x-1)/(x^2-194*x+1) ogf] A302332 7.45412 [-(37440*f(x)-191)*(f(x)*x^2-194*f(x)*x+f(x)+x-1) ogf] A302332 8.40755 [{a(n+2)-194*a(n+1)+a(n),a(0)=1,a(1)=193} ogf] A302341 4.20006 [2*(x^14+x^13-5*x^12+x^11+x^10+x^8+x^7+x^6+2*x^4+6)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A302341 6.52625 [2*(x^14+x^13-5*x^12+x^11+x^10+x^8+x^7+x^6+2*x^4+6)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A302347 10.5662 [-(x^8-x^7-2*x^4+2*x^3-x^2+x+1)/(x-1) ogf_with_Euler_transform] A302351 11.8464 [-(18*x^4-90*x^3+163*x^2-83*x+92)/(x-1)^5 ogf] A302368 5.08428 [(f(x)-5)*(4*f(x)*x^4+4*f(x)*x^3-4*f(x)*x^2+4*x^3-2*f(x)*x+f(x)+2*x-2) ogf] A302368 9.50538 [-2*(2*x^3+x-1)/(2*x^2-1)/(2*x^2+2*x-1) ogf] A302368 9.50539 [-2*(2*x^3+x-1)/(2*x^2-1)/(2*x^2+2*x-1) ogf] A302390 10.6862 [(x^5-x^4-8*x^2+7*x+13)/(x+1)/(x-1)^2 ogf] A302390 11.9075 [(x^5-x^4-8*x^2+7*x+13)/(x+1)/(x-1)^2 ogf] A302392 7.12188 [-(x^5+3*x^4+4*x^3+6*x^2+x+3)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A302392 8.59032 [-(x^5+3*x^4+4*x^3+6*x^2+x+3)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A302393 7.30474 [-x*(2*x^4+3*x^3+5*x^2+3*x+5)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A302393 8.87567 [-x*(2*x^4+3*x^3+5*x^2+3*x+5)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A302396 12.2215 [-(f(x)-1)^3 ogf] A302402 16.5589 [-(4*x^2+x+1)/(x^3-1) lgdogf] A302402 17.5727 [2*x/(x^2+x+1)/(x-1)^2 ogf] A302402 19.1347 [2*x/(x^2+x+1)/(x-1)^2 ogf] A302402 34.3279 [[x^2+1] ogf_with_Euler_transform] A302402 5.28258 [{(-3-n)*a(n+4)+a(n+3)+a(n+2)+(n+4)*a(n+1),a(0)=0,a(1)=2,a(2)=2,a(3)=2} ogf] A302402 8.69759 [(f(x)+2)*(f(x)*x^4-f(x)*x^3-f(x)*x+f(x)-2*x) ogf] A302404 13.2471 [x*(x^4+x^3+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A302404 8.52536 [x*(x^4+x^3+2)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A302405 13.1815 [x*(2*x^3+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A302405 8.83298 [x*(2*x^3+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A302406 11.4854 [-x*(2*x^4+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A302406 9.11729 [-x*(2*x^4+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A302416 5.16661 [(x^8-4*x^7+11*x^6-37*x^5+50*x^4-35*x^3+33*x^2-13*x-4)/(x-1)/(x^4-3*x^3+x^2-2*x+1) ogf] A302416 5.16662 [(x^8-4*x^7+11*x^6-37*x^5+50*x^4-35*x^3+33*x^2-13*x-4)/(x-1)/(x^4-3*x^3+x^2-2*x+1) ogf] A302422 6.26536 [-(32*x^8+32*x^7+8*x^6-4*x^5+36*x^4+20*x^3-2*x^2-6*x-3)/(8*x^4-10*x^3-x+1) ogf] A302422 6.26537 [-(32*x^8+32*x^7+8*x^6-4*x^5+36*x^4+20*x^3-2*x^2-6*x-3)/(8*x^4-10*x^3-x+1) ogf] A302447 12.6431 [-(x+2)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A302447 23.6284 [(x+2)/(x-1)^4 ogf_with_Euler_transform] A302448 10.8659 [-(x^2+x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A302448 18.4791 [(x^2+x+1)/(x-1)^4 ogf_with_Euler_transform] A302449 10.9548 [-(x^2+6*x+1)/(-x^4+4*x^3-6*x^2+4*x-1) ogf_with_Euler_transform] A302449 18.6496 [(x^2+6*x+1)/(x-1)^4 ogf_with_Euler_transform] A302450 13.1506 [-(x+1)*(x^2+22*x+1)/(x-1)^5 ogf_with_Euler_transform] A302450 8.45526 [-(-x^3-23*x^2-23*x-1)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) ogf_with_Euler_transform] A302483 6.57676 [-(x^8-3*x^7+6*x^6-7*x^5+7*x^4-5*x^3+4*x^2-3*x+1)/(x^3-x^2+2*x-1)/(x-1)^2 ogf] A302483 6.79417 [-(x^8-3*x^7+6*x^6-7*x^5+7*x^4-5*x^3+4*x^2-3*x+1)/(x^3-x^2+2*x-1)/(x-1)^2 ogf] A302488 11.0699 [(x^4-2*x^3-1)/(x^2+1)/(x+1)/(x-1)^3 ogf] A302488 12.283 [(x^4-2*x^3-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A302506 10.5348 [-(3*x^3+4*x^2+x+2)/(x^2+1)/(x^2+x-1) ogf] A302506 11.7563 [-(3*x^3+4*x^2+x+2)/(x^2+1)/(x^2+x-1) ogf] A302506 6.48945 [-(46*f(x)-29)*(f(x)*x^4+f(x)*x^3+3*x^3+f(x)*x+4*x^2-f(x)+x+2) ogf] A302507 12.6247 [-3*f(x)*x^2+4*f(x)*x-f(x)+8*x ogf] A302507 15.5179 [-(6*x-4)/(3*x^2-4*x+1) lgdogf] A302507 18.1673 [8*x/(3*x-1)/(x-1) ogf] A302507 20.1314 [8*x/(3*x-1)/(x-1) ogf] A302507 9.19580 [{a(n+2)-4*a(n+1)+3*a(n),a(0)=0,a(1)=8} ogf] A302510 9.35269 [(4*x^6-4*x^5-2*x^4+2*x^3-8*x^2-3)/(x^4+x-1) ogf] A302510 9.83855 [(4*x^6-4*x^5-2*x^4+2*x^3-8*x^2-3)/(x^4+x-1) ogf] A302511 5.72889 [-(x^9+7*x^8+8*x^7+7*x^6-x^5-3*x^3-10*x^2-5)/(x^3+x^2+x-1)/(x^4-x^2-1) ogf] A302511 6.10457 [-(x^9+7*x^8+8*x^7+7*x^6-x^5-3*x^3-10*x^2-5)/(x^3+x^2+x-1)/(x^4-x^2-1) ogf] A302512 4.04257 [-(32*x^10-44*x^9+16*x^8-10*x^7+58*x^6-48*x^5+12*x^4-33*x^3+14*x^2-x+8)/(x-1)/(8*x^8+8*x^7+4*x^6-8*x^5-6*x^4-6*x^3+1) ogf] A302512 4.42156 [-(32*x^10-44*x^9+16*x^8-10*x^7+58*x^6-48*x^5+12*x^4-33*x^3+14*x^2-x+8)/(x-1)/(8*x^8+8*x^7+4*x^6-8*x^5-6*x^4-6*x^3+1) ogf] A302513 4.02162 [(6*x^11+35*x^10+84*x^9+156*x^8-5*x^7-45*x^6-157*x^5-24*x^4-50*x^3+39*x^2+13)/(3*x^8+6*x^7+8*x^6-3*x^5-5*x^4-6*x^3-x+1) ogf] A302513 4.11625 [(6*x^11+35*x^10+84*x^9+156*x^8-5*x^7-45*x^6-157*x^5-24*x^4-50*x^3+39*x^2+13)/(3*x^8+6*x^7+8*x^6-3*x^5-5*x^4-6*x^3-x+1) ogf] A302516 7.39121 [(8*x^6+7*x^5+18*x^4+4*x^3-7*x^2-4)/(2*x-1)/(x+1)/(2*x^2+1) ogf] A302516 8.04822 [(8*x^6+7*x^5+18*x^4+4*x^3-7*x^2-4)/(2*x-1)/(x+1)/(2*x^2+1) ogf] A302517 4.60808 [(5*x^9+16*x^8+49*x^7+36*x^6-33*x^5-59*x^4-11*x^3-5*x^2-2*x+8)/(4*x^7+5*x^6+x^5-5*x^4-3*x^3-x^2-x+1) ogf] A302517 4.73014 [(5*x^9+16*x^8+49*x^7+36*x^6-33*x^5-59*x^4-11*x^3-5*x^2-2*x+8)/(4*x^7+5*x^6+x^5-5*x^4-3*x^3-x^2-x+1) ogf] A302537 13.4069 [(5*x^2-5*x-1)/(x-1)^3 ogf] A302537 19.9468 [(5*x^2-5*x-1)/(x-1)^3 ogf] A302537 7.11148 [(11*f(x)-1131)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-5*x^2-f(x)+5*x+1) ogf] A302537 7.23735 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=16} ogf] A302556 7.45383 [-x*(8*x^8-10*x^7+8*x^6-10*x^5+8*x^4-10*x^3+8*x^2-10*x-1)/(x-1)/(10*x^9-1) ogf] A302559 12.2179 [(543*x^3+1993*x^2+595*x+1)/(x-1)^6 ogf] A302560 18.7538 [-(6*x^2+8*x+1)/(x-1)^5 ogf] A302561 13.4692 [(107*x^3+357*x^2+115*x+1)/(x-1)^6 ogf] A302562 15.2221 [(9*x^3+43*x^2+19*x+1)/(x-1)^6 ogf] A302563 11.8603 [-(x^12-x^11+x^2-9*x-1)/(x-1)^2 ogf] A302576 16.0107 [-10*(3*x-1)/(x-1)^3 ogf] A302576 22.0147 [-6*x/(3*x^2-4*x+1) lgdogf] A302576 23.1734 [-10*(3*x-1)/(x-1)^3 ogf] A302576 7.79281 [-(86*f(x)-2785)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+30*x-10) ogf] A302576 7.79281 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-10,a(1)=0,a(2)=30} ogf] A302588 4.3341 [f(x)^2*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3+4*x^4-f(x)*x^2+x^3+2*f(x)*x+x^2-f(x)+1) ogf] A302588 8.49934 [-(4*x^4+x^3+x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A302588 9.70175 [-(90200*x^16+133060*x^12+27612*x^6+624*x^4+544*x^2+220*x+341)/(x-1) ogf] A302603 6.8994 [(3*x^5-2*x^4+7*x^3-16*x^2+14*x-4)/(x-1)/(2*x-1)/(x^2+1)/(x^2+x-1) ogf] A302603 7.14803 [(3*x^5-2*x^4+7*x^3-16*x^2+14*x-4)/(2*x-1)/(x-1)/(x^2+1)/(x^2+x-1) ogf] A302612 13.6544 [(10*x^4-6*x^3+9*x^2-4*x+1)/(x-1)^6 ogf] A302612 7.54246 [(10*x^4-6*x^3+9*x^2-4*x+1)/(x-1)^6 ogf] A302612 7.68891 [-(20*x^4+22*x^3+18*x^2-2*x+2)/(10*x^5-16*x^4+15*x^3-13*x^2+5*x-1) lgdogf] A302618 3.96263 [(16*x^10-8*x^9+8*x^8-16*x^7+14*x^6+29*x^5-28*x^4-12*x^3-13*x^2+9*x+4)/(4*x^9+4*x^7-x^6+4*x^5+4*x^4-4*x^3-x^2-2*x+1) ogf] A302618 4.05641 [(16*x^10-8*x^9+8*x^8-16*x^7+14*x^6+29*x^5-28*x^4-12*x^3-13*x^2+9*x+4)/(4*x^9+4*x^7-x^6+4*x^5+4*x^4-4*x^3-x^2-2*x+1) ogf] A302619 3.93687 [(61*x^9+30*x^8-118*x^7-132*x^6+9*x^5+112*x^4+74*x^3+16*x^2-29*x-8)/(x-1)/(5*x^7+7*x^6-8*x^4-9*x^3-3*x^2+1) ogf] A302619 4.2397 [(61*x^9+30*x^8-118*x^7-132*x^6+9*x^5+112*x^4+74*x^3+16*x^2-29*x-8)/(x-1)/(5*x^7+7*x^6-8*x^4-9*x^3-3*x^2+1) ogf] A302624 6.16357 [(2*x^7-x^6+13*x^5-28*x^4-9*x^3-25*x^2+17*x+4)/(x-1)/(2*x-1)/(x^2+x+1) ogf] A302624 6.86798 [(2*x^7-x^6+13*x^5-28*x^4-9*x^3-25*x^2+17*x+4)/(2*x-1)/(x-1)/(x^2+x+1) ogf] A302625 3.59807 [-(24*x^10-60*x^9+115*x^8-22*x^7+53*x^6-205*x^5-191*x^4-119*x^3-26*x^2+73*x+8)/(x-1)/(x^2+x+1)/(2*x^5-2*x^4-x^3-2*x^2-x+1) ogf] A302625 3.75798 [-(24*x^10-60*x^9+115*x^8-22*x^7+53*x^6-205*x^5-191*x^4-119*x^3-26*x^2+73*x+8)/(x-1)/(x^2+x+1)/(2*x^5-2*x^4-x^3-2*x^2-x+1) ogf] A302630 3.86082 [(32*x^12+16*x^11+32*x^10-32*x^9+4*x^8-40*x^7+20*x^6+2*x^5+46*x^4+16*x^3+x^2-6*x-3)/(4*x^9+4*x^7-10*x^6+2*x^5-4*x^4+9*x^3+x-1) ogf] A302630 3.94614 [(32*x^12+16*x^11+32*x^10-32*x^9+4*x^8-40*x^7+20*x^6+2*x^5+46*x^4+16*x^3+x^2-6*x-3)/(4*x^9+4*x^7-10*x^6+2*x^5-4*x^4+9*x^3+x-1) ogf] A302636 6.79391 [(x-1)*(x^5+x^4-4*x^3-4*x^2-6*x-4)/(x^2+1)/(x^3-2*x^2-x+1) ogf] A302636 8.71219 [(x-1)*(x^5+x^4-4*x^3-4*x^2-6*x-4)/(x^2+1)/(x^3-2*x^2-x+1) ogf] A302644 5.19861 [-(56*x^6-36*x^5+64*x^4-46*x^3+24*x^2-7*x+1)/(x-1)^9 ogf] A302644 9.76323 [-(56*x^6-36*x^5+64*x^4-46*x^3+24*x^2-7*x+1)/(x-1)^9 ogf] A302645 3.50942 [x*(330*x^8-220*x^7+430*x^6-390*x^5+281*x^4-140*x^3+48*x^2-10*x+1)/(x-1)^12 ogf] A302645 7.14881 [x*(330*x^8-220*x^7+430*x^6-390*x^5+281*x^4-140*x^3+48*x^2-10*x+1)/(x-1)^12 ogf] A302647 10.9745 [-(-6*x^3-9*x^2-12*x-3)/(-x^4-x^3+x+1) lgdogf] A302647 13.1334 [-2*x^2*(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A302647 31.8450 [-x^2+3*x+3 ogf_with_Euler_transform] A302647 4.85537 [{(-n^2-9*n-20)*a(n+1)+(-6-2*n)*a(n+2)+(n^2+3*n+2)*a(n+3),a(0)=0,a(1)=0,a(2)=2} ogf] A302647 7.93204 [-2*x^2*(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A302650 10.1333 [-(-4*x^3+27*x^2+6*x+1)/(-2*x^4+13*x^3-15*x^2+5*x-1) lgdogf] A302650 16.8213 [(2*x^3-11*x^2+4*x-1)/(x-1)^5 ogf] A302650 4.42666 [{(53*n^2+393*n+702)*a(n+1)+(-108*n^2-609*n-719)*a(n+2)+(55*n^2+208*n+129)*a(n+3),a(0)=1,a(1)=1,a(2)=6} ogf] A302650 9.55756 [(2*x^3-11*x^2+4*x-1)/(x-1)^5 ogf] A302653 6.08043 [-(4*x^11-x^10+x^9-3*x^8-8*x^7-2*x^6+6*x^5+2*x^4+4*x^3+3*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A302653 6.38446 [-(4*x^11-x^10+x^9-3*x^8-8*x^7-2*x^6+6*x^5+2*x^4+4*x^3+3*x^2+x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A302654 6.46378 [-x*(x^10+x^9-x^7-2*x^6-3*x^5+x^4+x^3+x^2+2*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A302654 6.76677 [-x*(x^10+x^9-x^7-2*x^6-3*x^5+x^4+x^3+x^2+2*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A302655 6.23277 [-x*(x+1)*(x^6+x^5-x^3-x-1)/(x^3+x^2-1)/(x^6-x^2-1) ogf] A302655 7.33591 [-x*(x+1)*(x^6+x^5-x^3-x-1)/(x^3+x^2-1)/(x^6-x^2-1) ogf] A302658 5.06353 [-(9*x^10-11*x^9-8*x^8+2*x^7+8*x^6+x^5+x^4+3*x^3-3*x^2-1)/(x^3+x^2-1)/(x^6-x^2-1)/(x-1)^2 ogf] A302658 5.39021 [-(9*x^10-11*x^9-8*x^8+2*x^7+8*x^6+x^5+x^4+3*x^3-3*x^2-1)/(x^3+x^2-1)/(x^6-x^2-1)/(x-1)^2 ogf] A302675 11.4438 [(4*x^4+4*x^3-2*x^2-3)/(x^2+x-1) ogf] A302675 12.1942 [(4*x^4+4*x^3-2*x^2-3)/(x^2+x-1) ogf] A302675 6.41249 [-(4325*f(x)-37552)*(-4*x^4+f(x)*x^2-4*x^3+f(x)*x+2*x^2-f(x)+3) ogf] A302676 7.75000 [(2*x^7+3*x^6-4*x^5-6*x^4-2*x^3-3*x^2+5)/(x^4-2*x^2-x+1) ogf] A302676 8.56944 [(2*x^7+3*x^6-4*x^5-6*x^4-2*x^3-3*x^2+5)/(x^4-2*x^2-x+1) ogf] A302677 5.27318 [(4*x^9+4*x^8+14*x^7+8*x^6+22*x^5+4*x^4+12*x^3-11*x^2+x-8)/(2*x^5+2*x^4+3*x^3+x-1) ogf] A302677 5.44192 [(4*x^9+4*x^8+14*x^7+8*x^6+22*x^5+4*x^4+12*x^3-11*x^2+x-8)/(2*x^5+2*x^4+3*x^3+x-1) ogf] A302678 4.45682 [(2*x^11+4*x^10-2*x^9+4*x^8+20*x^7-7*x^6-33*x^5-34*x^4-42*x^3+x^2+13)/(x^6+2*x^5-x^4-4*x^3-2*x^2-x+1) ogf] A302678 4.5711 [(2*x^11+4*x^10-2*x^9+4*x^8+20*x^7-7*x^6-33*x^5-34*x^4-42*x^3+x^2+13)/(x^6+2*x^5-x^4-4*x^3-2*x^2-x+1) ogf] A302681 7.95978 [2*(3*x^6+7*x^5+9*x^4+4*x^3-2*x^2-2)/(3*x^4+3*x^3+x-1) ogf] A302681 8.13864 [2*(3*x^6+7*x^5+9*x^4+4*x^3-2*x^2-2)/(3*x^4+3*x^3+x-1) ogf] A302682 4.23494 [(6*x^10-7*x^9-2*x^8+11*x^7-18*x^6+15*x^5+67*x^4+33*x^3+7*x^2+2*x-8)/(2*x^7-3*x^6-3*x^5+5*x^4+5*x^3+x^2+x-1) ogf] A302682 4.34148 [(6*x^10-7*x^9-2*x^8+11*x^7-18*x^6+15*x^5+67*x^4+33*x^3+7*x^2+2*x-8)/(2*x^7-3*x^6-3*x^5+5*x^4+5*x^3+x^2+x-1) ogf] A302689 10.0295 [-(-10*x^3+6*x^2)/(-10*x^4+23*x^3-19*x^2+7*x-1) lgdogf] A302689 12.2942 [-2*(5*x^2-4*x+1)/(2*x-1)/(x-1)^2 ogf] A302689 13.3726 [-2*(5*x^2-4*x+1)/(2*x-1)/(x-1)^2 ogf] A302689 6.92945 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=2,a(1)=0,a(2)=0} ogf] A302689 8.46932 [-2*f(x)*x^3+5*f(x)*x^2-4*f(x)*x-10*x^2+f(x)+8*x-2 ogf] A302695 10.8116 [-x*(x^5+3*x^4+16*x^3+20*x^2+15*x+5)/(x-1)^7 ogf] A302695 6.41938 [-x*(x^5+3*x^4+16*x^3+20*x^2+15*x+5)/(x-1)^7 ogf] A302709 10.3334 [x*(x^3+4*x^2-15*x-6)/(x-1)^5 ogf] A302709 11.3175 [-(-2*x^3-15*x^2+52*x+45)/(-x^4-3*x^3+19*x^2-9*x-6) lgdogf] A302709 17.6051 [x*(x^3+4*x^2-15*x-6)/(x-1)^5 ogf] A302709 4.80138 [{(-202*n^2-823*n-838)*a(n+1)+(1086*n^2+7185*n+13464)*a(n+2)+(-884*n^2-3634*n-3732)*a(n+3),a(0)=0,a(1)=6,a(2)=45} ogf] A302710 10.1720 [x*(4*x^3-5*x^2-14*x-1)/(x-1)^5 ogf] A302710 11.2749 [-(-8*x^3+3*x^2+66*x+19)/(-4*x^4+9*x^3+9*x^2-13*x-1) lgdogf] A302710 17.33 [x*(4*x^3-5*x^2-14*x-1)/(x-1)^5 ogf] A302710 4.77459 [{(-80*n^2+236*n+792)*a(n+1)+(918*n^2+5643*n+11052)*a(n+2)+(-838*n^2-2847*n-2342)*a(n+3),a(0)=0,a(1)=1,a(2)=19} ogf] A302736 6.45472 [-4*(6*x^4+4*x^3+x^2-x-1)/(16*x^5+20*x^4-2*x^3-2*x^2-7*x+1) ogf] A302736 6.59061 [-4*(6*x^4+4*x^3+x^2-x-1)/(16*x^5+20*x^4-2*x^3-2*x^2-7*x+1) ogf] A302742 4.81622 [-(12*x^7+6*x^6-6*x^5-x^4-19*x^3-12*x^2+4*x+4)/(14*x^7-9*x^6-3*x^4-17*x^3+4*x^2+7*x-1) ogf] A302742 4.81622 [-(12*x^7+6*x^6-6*x^5-x^4-19*x^3-12*x^2+4*x+4)/(14*x^7-9*x^6-3*x^4-17*x^3+4*x^2+7*x-1) ogf] A302757 12.6051 [-(4*x^2-3*x+1)/(4*x-1)/(x-1)^2 ogf] A302757 13.4897 [-(4*x^2-3*x+1)/(4*x-1)/(x-1)^2 ogf] A302757 6.80452 [(57*f(x)-28)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-3*x+1) ogf] A302757 6.80453 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A302757 9.15371 [-(16*x^3-8*x^2+7*x-3)/(16*x^4-32*x^3+23*x^2-8*x+1) lgdogf] A302758 11.2051 [-x*(3*x^4+3*x^3+7*x^2+2*x+1)/(x+1)^4/(x-1)^5 ogf] A302758 6.68833 [-x*(3*x^4+3*x^3+7*x^2+2*x+1)/(x+1)^4/(x-1)^5 ogf] A302759 4.43523 [(256*x^7-672*x^6+928*x^5-706*x^4+334*x^3-88*x^2+12*x-1)/(8*x-1)/(x-1)/(4*x-1)^2/(2*x-1)^3 ogf] A302759 5.56982 [(256*x^7-672*x^6+928*x^5-706*x^4+334*x^3-88*x^2+12*x-1)/(8*x-1)/(x-1)/(4*x-1)^2/(2*x-1)^3 ogf] A302760 7.58977 [-(7*x^6-12*x^3+18*x^2+2*x+3)/(x^7-3*x^4+6*x^3+x^2+3*x-1) ogf] A302760 7.58978 [-(7*x^6-12*x^3+18*x^2+2*x+3)/(x^7-3*x^4+6*x^3+x^2+3*x-1) ogf] A302761 6.84375 [(4*x^4-30*x^3+26*x^2-7*x+1)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A302761 9.15247 [(4*x^4-30*x^3+26*x^2-7*x+1)/(4*x-1)/(2*x-1)^2/(x-1)^3 ogf] A302762 6.43221 [-(x^7-2*x^6-15*x^5+27*x^4-15*x^3+x^2+x-1)/(x-1)^6 ogf] A302762 9.57522 [-(x^7-2*x^6-15*x^5+27*x^4-15*x^3+x^2+x-1)/(x-1)^6 ogf] A302766 11.0295 [x*(x^4+3*x^3+13*x^2+6*x+5)/(x+1)^3/(x-1)^4 ogf] A302766 7.15947 [x*(x^4+3*x^3+13*x^2+6*x+5)/(x+1)^3/(x-1)^4 ogf] A302769 4.8238 [-2/3*I*(Pi*3^(1/2)+6*I*3^(1/2)*arctanh(1/3*3^(1/2)*(4*x-1)^(1/2))-6*I*(4*x-1)^(1/2))/(4*x-1)^(3/2) egf] A302773 7.89339 [(x^7+x^6+7*x^5+5*x^4+11*x^3+2*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A302773 8.85993 [(x^7+x^6+7*x^5+5*x^4+11*x^3+2*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A302774 3.82442 [(3*x^6-3*x^5-2*x^4+2*x^2-x-1)/(x+1)/(3*x^2-1)/(x-1)^2 ogf] A302774 4.15339 [(3*x^6-3*x^5-2*x^4+2*x^2-x-1)/(x+1)/(3*x^2-1)/(x-1)^2 ogf] A302803 6.34964 [(72*x^5-96*x^4-100*x^3-5*x^2+5*x+4)/(6*x-1)/(24*x^3-1) ogf] A302803 6.79265 [(72*x^5-96*x^4-100*x^3-5*x^2+5*x+4)/(6*x-1)/(24*x^3-1) ogf] A302832 13.6397 [-(x^4-x^2+x+2)/(-x^4+2*x^2-1) ogf_with_Euler_transform] A302832 14.6346 [(x^4-x^2+x+2)/(x-1)^2/(x+1)^2 ogf_with_Euler_transform] A302856 12.2257 [-(32*x^2-32*x+64)/(-x^3-x^2-x-1) ogf_with_Euler_transform] A302856 12.8129 [32*(x^2-x+2)/(x+1)/(x^2+1) ogf_with_Euler_transform] A302856 99.9999 Evaluated at exp(-Pi) Pi^8/GAMMA(3/4)^32 A302865 4.47829 [-8*(I*5^(1/2)*arctanh(1/5*5^(1/2))-5^(1/2)*arctan(1/5*5^(1/2)*(4*x-1)^(1/2))+(4*x-1)^(1/2))/(4*x-1)^(3/2) egf] A302870 8.84893 [-(-x^3-9*x^2-19*x-8)/(-x^3-6*x^2-7*x-1) lgdegf] A302870 8.84894 [-(x^3+9*x^2+19*x+8)/(x^3+6*x^2+7*x+1) lgdegf] A302884 3.98191 [-(8*x^9+8*x^8+12*x^7+6*x^6-13*x^5-15*x^4-10*x^2+8*x+1)/(x-1)/(x+1)/(4*x^8+8*x^7+8*x^6+5*x^4-9*x^3+2*x^2-4*x+1) ogf] A302884 4.00548 [-(8*x^9+8*x^8+12*x^7+6*x^6-13*x^5-15*x^4-10*x^2+8*x+1)/(x-1)/(x+1)/(4*x^8+8*x^7+8*x^6+5*x^4-9*x^3+2*x^2-4*x+1) ogf] A302906 14.1848 [x*(4*x-9)/(x-1)^3 ogf] A302906 16.1706 [-(-8*x+23)/(-4*x^2+13*x-9) lgdogf] A302906 21.8522 [x*(4*x-9)/(x-1)^3 ogf] A302906 7.09238 [(6225*f(x)-64477)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-4*x^2-f(x)+9*x) ogf] A302906 7.21904 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=9,a(2)=23} ogf] A302908 8.67835 [-(x^3+12*x^2+36*x+24)/(x^3+9*x^2+18*x+6) lgdegf] A302908 8.67836 [-(-x^3-12*x^2-36*x-24)/(-x^3-9*x^2-18*x-6) lgdegf] A302909 6.30906 [{(3*n^2+17*n+22)*a(n+1)-2*a(n+2),a(0)=1,a(1)=4} ogf] A302910 6.64856 [{(2*n^2+11*n+14)*a(n+1)-a(n+2),a(0)=1,a(1)=5} ogf] A302911 5.96877 [{(5*n^2+27*n+34)*a(n+1)-2*a(n+2),a(0)=1,a(1)=6} ogf] A302912 6.10693 [{(3*n^2+16*n+20)*a(n+1)-a(n+2),a(0)=1,a(1)=7} ogf] A302913 6.27272 [{(7*n^2+37*n+46)*a(n+1)-2*a(n+2),a(0)=1,a(1)=8} ogf] A302914 6.46616 [{(4*n^2+21*n+26)*a(n+1)-a(n+2),a(0)=1,a(1)=9} ogf] A302941 10.1078 [-(4*x^2-31*x-9)/(x+1)/(x^2-11*x+1) ogf] A302941 10.5816 [-(4*x^2-31*x-9)/(x+1)/(x^2-11*x+1) ogf] A302941 5.41777 [(6121323*f(x)+905173)*(f(x)*x^3-10*f(x)*x^2-10*f(x)*x+4*x^2+f(x)-31*x-9) ogf] A302941 5.69093 [{-a(n+3)+10*a(n+2)+10*a(n+1)-a(n),a(0)=9,a(1)=121,a(2)=1296} ogf] A302941 6.21304 [-(4*x^4-62*x^3+323*x^2+172*x+121)/(4*x^5-71*x^4+261*x^3+404*x^2+59*x-9) lgdogf] A302942 11.6033 [-2*x*(5*x+2)/(x-1)/(8*x-1)/(2*x-1) ogf] A302942 12.3642 [-2*x*(5*x+2)/(x-1)/(8*x-1)/(2*x-1) ogf] A302942 6.23318 [(538125*f(x)-346789)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x+10*x^2-f(x)+4*x) ogf] A302942 6.55838 [{a(n+3)-11*a(n+2)+26*a(n+1)-16*a(n),a(0)=0,a(1)=4,a(2)=54} ogf] A302942 8.47431 [-(-160*x^3+34*x^2+104*x-27)/(-80*x^4+98*x^3-3*x^2-17*x+2) lgdogf] A302944 6.22378 [-8*(3*I*arctanh(1/3)+(8*x-1)^(1/2)-3*arctan(1/3*(8*x-1)^(1/2)))/(8*x-1)^(3/2) egf] A302946 10.9375 [-4*(x^2-4*x-1)/(x+1)/(x^2-6*x+1) ogf] A302946 11.4668 [-4*(x^2-4*x-1)/(x+1)/(x^2-6*x+1) ogf] A302946 6.07641 [(4059*f(x)+964)*(f(x)*x^3-5*f(x)*x^2-5*f(x)*x+4*x^2+f(x)-16*x-4) ogf] A302946 6.18208 [{a(n+3)-5*a(n+2)-5*a(n+1)+a(n),a(0)=4,a(1)=36,a(2)=196} ogf] A302946 7.18120 [-(-x^4+8*x^3-22*x^2-8*x-9)/(-x^5+9*x^4-14*x^3-26*x^2-x+1) lgdogf] A302948 4.20264 [-(4*x^7-4*x^6-3*x^5-16*x^4+5*x^3+11*x^2+11*x+1)/(4*x^8-3*x^6-19*x^5-2*x^4+13*x^3+15*x^2+4*x-1) ogf] A302948 4.20265 [-(4*x^7-4*x^6-3*x^5-16*x^4+5*x^3+11*x^2+11*x+1)/(4*x^8-3*x^6-19*x^5-2*x^4+13*x^3+15*x^2+4*x-1) ogf] A302954 3.90834 [x*(2*x^7+20*x^6+79*x^5+184*x^4+147*x^3-10*x^2-42*x-11)/(5*x^7+26*x^6+68*x^5+80*x^4+37*x^3+15*x^2+4*x-1) ogf] A302954 4.01469 [x*(2*x^7+20*x^6+79*x^5+184*x^4+147*x^3-10*x^2-42*x-11)/(5*x^7+26*x^6+68*x^5+80*x^4+37*x^3+15*x^2+4*x-1) ogf] A302960 5.65861 [-(112*x^5-2*x^4-42*x^3-21*x^2+x+4)/(64*x^5-56*x^4-7*x^2+7*x-1) ogf] A302960 5.65861 [-(112*x^5-2*x^4-42*x^3-21*x^2+x+4)/(64*x^5-56*x^4-7*x^2+7*x-1) ogf] A303005 14.1578 [-(3*x^2+2*x+3)/(x^3+x^2+x-1) ogf] A303005 14.1578 [-(3*x^2+2*x+3)/(x^3+x^2+x-1) ogf] A303005 7.25738 [-(127*f(x)+113)*(f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)+2*x+3) ogf] A303005 7.64273 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=5,a(2)=11} ogf] A303005 8.90338 [-(-3*x^4-4*x^3-8*x^2-12*x-5)/(-3*x^5-5*x^4-8*x^3-2*x^2-x+3) lgdogf] A303007 18.5585 [30/(240*x-1) lgdogf] A303007 5.27812 [{(n+2)*a(n+2)+(-210-240*n)*a(n+1),a(0)=1,a(1)=-30} ogf] A303050 4.53304 [-9*(1111680*x^4-229888*x^3+11424*x^2-192*x+1)/(100*x-1)/(4*x-1)/(36*x-1)/(64*x-1)/(16*x-1) ogf] A303050 4.77526 [-9*(1111680*x^4-229888*x^3+11424*x^2-192*x+1)/(100*x-1)/(4*x-1)/(36*x-1)/(64*x-1)/(16*x-1) ogf] A303054 4.40418 [-(x^14+x^13+x^12-4*x^11-5*x^10-x^9+6*x^8+11*x^7-6*x^6-4*x^5-11*x^4+11*x^3+x^2+4*x+1)/(x-1)^5/(x^2+x+1)^5 ogf] A303054 4.92539 [-(x^14+x^13+x^12-4*x^11-5*x^10-x^9+6*x^8+11*x^7-6*x^6-4*x^5-11*x^4+11*x^3+x^2+4*x+1)/(x-1)^5/(x^2+x+1)^5 ogf] A303055 17.4582 [42/(504*x-1) lgdogf] A303055 4.96517 [{(n+2)*a(n+2)+(-462-504*n)*a(n+1),a(0)=1,a(1)=-42} ogf] A303108 4.88566 [(-2*(2*x-1)^(1/2)-ln((2*x-1)^(1/2)-1)+ln((2*x-1)^(1/2)+1)+ln(-1+I)-ln(1+I))/(2*x-1)^(3/2) egf] A303109 4.36732 [{(2*n^3+11*n^2+20*n+12)*a(n+1)+(-3*n^2-15*n-19)*a(n+2)+(n+3)*a(n+3),a(0)=0,a(1)=1,a(2)=7/2} egf] A303120 4.01389 [-x*(7*x^8+46*x^7+224*x^6+386*x^5+594*x^4+386*x^3+224*x^2+46*x+7)/(x+1)^5/(x-1)^7 ogf] A303120 6.50184 [-x*(7*x^8+46*x^7+224*x^6+386*x^5+594*x^4+386*x^3+224*x^2+46*x+7)/(x+1)^5/(x-1)^7 ogf] A303148 5.92980 [-(3*x^8+4*x^7+x^6-3*x^5-2*x^4-x^3-3*x^2-x-1)/(x^3+x^2-1)/(x^6-x^2-1) ogf] A303148 6.29753 [-(3*x^8+4*x^7+x^6-3*x^5-2*x^4-x^3-3*x^2-x-1)/(x^3+x^2-1)/(x^6-x^2-1) ogf] A303183 5.56900 [(x^8-3*x^7+9*x^6-25*x^5+22*x^4-21*x^3+36*x^2-13*x-4)/(x-1)/(x^4-2*x^3-2*x+1) ogf] A303183 5.93417 [(x^8-3*x^7+9*x^6-25*x^5+22*x^4-21*x^3+36*x^2-13*x-4)/(x-1)/(x^4-2*x^3-2*x+1) ogf] A303192 4.25449 [(16*x^10-40*x^9+8*x^8+32*x^7-26*x^6-6*x^5+26*x^4+25*x^3+3*x^2-3*x-3)/(6*x^7-10*x^6+6*x^5-15*x^4+11*x^3-x^2+2*x-1) ogf] A303192 4.35889 [(16*x^10-40*x^9+8*x^8+32*x^7-26*x^6-6*x^5+26*x^4+25*x^3+3*x^2-3*x-3)/(6*x^7-10*x^6+6*x^5-15*x^4+11*x^3-x^2+2*x-1) ogf] A303212 3.57212 [{(9*n^3+54*n^2+81*n)*a(n+1)+(-10*n^3-10*n^2-32*n-32)*a(n+2)+(n^3+4*n^2+5*n+2)*a(n+3),a(0)=0,a(1)=1,a(2)=6} ogf] A303212 4.90242 [x*(x^7-7*x^6+21*x^5-41*x^4-19*x^3-75*x^2+x-1)/(x-1)^7 ogf] A303212 7.98708 [x*(x^7-7*x^6+21*x^5-41*x^4-19*x^3-75*x^2+x-1)/(x-1)^7 ogf] A303224 7.23560 [{3*a(n+1)+(-n-3)*a(n+2)+a(n+3),a(0)=0,a(1)=1,a(2)=2} ogf] A303226 5.59131 [-2*x*(6*x^7+x^5-3*x^4-3*x^3-9*x^2+3*x+3)/(x^3+x^2-1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A303226 6.01812 [-2*x*(6*x^7+x^5-3*x^4-3*x^3-9*x^2+3*x+3)/(x^3+x^2-1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A303272 12.9662 [-f(x)*x^2+2*f(x)*x-f(x)+1852*x ogf] A303272 20.0977 [1852*x/(x-1)^2 ogf] A303272 25.1221 [1852*x/(x-1)^2 ogf] A303272 28.7110 [2/(-x+1) lgdogf] A303272 61.3856 [[2] ogf_with_Euler_transform] A303272 9.57032 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1852} ogf] A303295 12.5817 [x*(5*x^3-12*x^2+11*x-20)/(x-1)^3 ogf] A303295 5.03269 [(1033312*f(x)-163797121)*(f(x)*x^3-5*x^4-3*f(x)*x^2+12*x^3+3*f(x)*x-11*x^2-f(x)+20*x) ogf] A303296 6.01069 [-(9*x^8+x^7+7*x^6+9*x^5+4*x^4+4*x^3+9*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A303296 8.48933 [-(9*x^8+x^7+7*x^6+9*x^5+4*x^4+4*x^3+9*x^2+7*x+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A303298 16.491 [-x*(x^2+17*x+1)/(x+1)^2/(x-1)^3 ogf] A303299 16.491 [-x*(x^2+18*x+1)/(x+1)^2/(x-1)^3 ogf] A303302 16.7710 [-34*x*(x+1)/(x-1)^3 ogf] A303302 22.4884 [-(2*x+4)/(x^2-1) lgdogf] A303302 23.5592 [-34*x*(x+1)/(x-1)^3 ogf] A303302 46.8552 [[4-x] ogf_with_Euler_transform] A303302 8.67973 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=34,a(2)=136} ogf] A303302 8.99534 [(2*f(x)+17)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+34*x^2-f(x)+34*x) ogf] A303303 16.491 [-x*(x^2+19*x+1)/(x+1)^2/(x-1)^3 ogf] A303304 14.26 [-x*(x^2+21*x+1)/(x+1)^2/(x-1)^3 ogf] A303305 10.7406 [-x*(x^2+13*x+1)/(x+1)^2/(x-1)^3 ogf] A303305 14.2053 [-x*(x^2+13*x+1)/(x+1)^2/(x-1)^3 ogf] A303309 8.68476 [(4*x^6-2*x^4+4*x^3-9*x^2-3)/(x^2+1)/(x^2+x-1) ogf] A303309 9.11364 [(4*x^6-2*x^4+4*x^3-9*x^2-3)/(x^2+1)/(x^2+x-1) ogf] A303310 4.92588 [(x^9-2*x^8-5*x^7-5*x^6-x^5-4*x^4-x^3+7*x^2+5)/(x^7+2*x^6+x^5-2*x^4-3*x^3-x^2-x+1) ogf] A303310 5.06561 [(x^9-2*x^8-5*x^7-5*x^6-x^5-4*x^4-x^3+7*x^2+5)/(x^7+2*x^6+x^5-2*x^4-3*x^3-x^2-x+1) ogf] A303311 3.99864 [(8*x^11-16*x^10+20*x^9-8*x^8+2*x^7-58*x^6+52*x^5-10*x^4+46*x^3-17*x^2+x-8)/(4*x^9-6*x^7-10*x^6+4*x^5+2*x^4+9*x^3+x-1) ogf] A303311 4.09218 [(8*x^11-16*x^10+20*x^9-8*x^8+2*x^7-58*x^6+52*x^5-10*x^4+46*x^3-17*x^2+x-8)/(4*x^9-6*x^7-10*x^6+4*x^5+2*x^4+9*x^3+x-1) ogf] A303312 3.67611 [(31*x^10+80*x^9+249*x^8+94*x^7-10*x^6-128*x^5-60*x^4-95*x^3+28*x^2+13)/(4*x^8+8*x^7+15*x^6+5*x^5-6*x^4-10*x^3-2*x^2-x+1) ogf] A303312 3.76159 [(31*x^10+80*x^9+249*x^8+94*x^7-10*x^6-128*x^5-60*x^4-95*x^3+28*x^2+13)/(4*x^8+8*x^7+15*x^6+5*x^5-6*x^4-10*x^3-2*x^2-x+1) ogf] A303315 7.93633 [(8*x^6+9*x^5+21*x^4+7*x^3-8*x^2-4)/(4*x^4+3*x^3+x-1) ogf] A303315 8.30546 [(8*x^6+9*x^5+21*x^4+7*x^3-8*x^2-4)/(4*x^4+3*x^3+x-1) ogf] A303316 4.14001 [(2*x^10+13*x^9+14*x^8+35*x^7+56*x^6-43*x^5-99*x^4-21*x^3-3*x^2-2*x+8)/(2*x^7+7*x^6+3*x^5-9*x^4-5*x^3-x^2-x+1) ogf] A303316 4.24287 [(2*x^10+13*x^9+14*x^8+35*x^7+56*x^6-43*x^5-99*x^4-21*x^3-3*x^2-2*x+8)/(2*x^7+7*x^6+3*x^5-9*x^4-5*x^3-x^2-x+1) ogf] A303383 5.42108 [-x*(x^2+x+1)*(x^4+6*x^3+16*x^2+6*x+1)/(x+1)^4/(x-1)^5 ogf] A303383 8.18694 [-x*(x^2+x+1)*(x^4+6*x^3+16*x^2+6*x+1)/(x+1)^4/(x-1)^5 ogf] A303416 10.5587 [-4*(x^2+x+1)/(8*x^3+6*x^2+7*x-1) ogf] A303416 10.5587 [-4*(x^2+x+1)/(8*x^3+6*x^2+7*x-1) ogf] A303416 5.50498 [-(277*f(x)-2)*(8*f(x)*x^3+6*f(x)*x^2+7*f(x)*x+4*x^2-f(x)+4*x+4) ogf] A303416 5.60071 [{a(n+3)-7*a(n+2)-6*a(n+1)-8*a(n),a(0)=4,a(1)=32,a(2)=252} ogf] A303416 6.31453 [-(-8*x^4-16*x^3-23*x^2-14*x-8)/(-8*x^5-14*x^4-21*x^3-12*x^2-6*x+1) lgdogf] A303417 4.27441 [-(10*x^5+11*x^4+13*x^3-25*x^2-16*x-8)/(20*x^6+18*x^5+23*x^4-54*x^3-21*x^2-14*x+1) ogf] A303417 4.27441 [-(10*x^5+11*x^4+13*x^3-25*x^2-16*x-8)/(20*x^6+18*x^5+23*x^4-54*x^3-21*x^2-14*x+1) ogf] A303422 4.15537 [-(2019799*f(x)-705789)*(18*f(x)*x^4+21*f(x)*x^3+4*f(x)*x^2+9*x^3+7*f(x)*x+12*x^2-f(x)+4*x+4) ogf] A303422 8.05102 [-(9*x^3+12*x^2+4*x+4)/(18*x^4+21*x^3+4*x^2+7*x-1) ogf] A303422 8.05103 [-(9*x^3+12*x^2+4*x+4)/(18*x^4+21*x^3+4*x^2+7*x-1) ogf] A303427 11.5675 [-(x+1)*(x^2-2*x+2)/(x^4+x^2-1) ogf] A303427 13.0846 [-(x+1)*(x^2-2*x+2)/(x^4+x^2-1) ogf] A303427 7.67462 [-(71*f(x)-138)*(f(x)*x^4+f(x)*x^2+x^3-x^2-f(x)+2) ogf] A303449 8.45719 [-(7190232*x^12-8987790*x^11+1797558*x^10-2*x-1)/(4*x-1)/(x-1) ogf] A303449 8.83307 [-(7190232*x^12-8987790*x^11+1797558*x^10-2*x-1)/(4*x-1)/(x-1) ogf] A303451 6.79676 [-4*(6*x^4+6*x^3+2*x^2-1)/(16*x^5+36*x^4+2*x^3+4*x^2-8*x+1) ogf] A303451 6.94615 [-4*(6*x^4+6*x^3+2*x^2-1)/(16*x^5+36*x^4+2*x^3+4*x^2-8*x+1) ogf] A303457 5.24252 [-2*(6*x^7+12*x^6+10*x^4-3*x^3-12*x^2+2)/(32*x^7-3*x^6+8*x^5+20*x^4-40*x^3+8*x-1) ogf] A303457 5.28659 [-2*(6*x^7+12*x^6+10*x^4-3*x^3-12*x^2+2)/(32*x^7-3*x^6+8*x^5+20*x^4-40*x^3+8*x-1) ogf] A303464 5.33785 [-(168*x^5-16*x^4-92*x^3-13*x^2+x+4)/(72*x^5-144*x^4+20*x^3-5*x^2+7*x-1) ogf] A303464 5.33785 [-(168*x^5-16*x^4-92*x^3-13*x^2+x+4)/(72*x^5-144*x^4+20*x^3-5*x^2+7*x-1) ogf] A303486 11.5133 [4/3*x-1/3-1/3*(4*x-1)^(1/4)*(-1)^(3/4) revegf] A303487 11.9469 [5/4*x-1/4-1/4*(5*x-1)^(1/5)*(-1)^(4/5) revegf] A303488 12.3804 [6/5*x-1/5-1/5*(6*x-1)^(1/6)*(-1)^(5/6) revegf] A303502 11.1239 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A303502 11.5309 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A303502 28.6524 [1/(x-1)^2 ogf] A303502 33.7689 [2/(-x+1) lgdogf] A303502 45.0252 [1/(x-1)^2 ogf] A303502 72.5070 [[2] ogf_with_Euler_transform] A303537 18.5391 [-2/(4*x-1)/(4*x+1) lgdogf] A303537 22.4716 [2/(-16*x^2+1) lgdogf] A303537 6.93050 [{(n+2)*a(n+2)-2*a(n+1)-16*n*a(n),a(0)=1,a(1)=2} ogf] A303538 17.9507 [-2/(8*x-1)/(8*x+1) lgdogf] A303538 21.7584 [2/(-64*x^2+1) lgdogf] A303538 6.71053 [{(n+2)*a(n+2)-2*a(n+1)-64*n*a(n),a(0)=1,a(1)=2} ogf] A303602 12.77 [-1/2*(-4*x-1+(1-4*x)^(1/2))/(4*x-1)^2 ogf] A303602 4.35178 [256*f(x)^2*x^4-256*f(x)^2*x^3+96*f(x)^2*x^2-64*f(x)*x^3-16*f(x)^2*x+16*f(x)*x^2+f(x)^2+4*f(x)*x+4*x^2-f(x)+3*x ogf] A303609 11.1902 [2*x*(x^2-5*x+10)/(x-1)^4 ogf] A303609 12.3422 [-(-2*x^2+13*x-35)/(-x^3+6*x^2-15*x+10) lgdogf] A303609 16.7853 [2*x*(x^2-5*x+10)/(x-1)^4 ogf] A303609 4.11405 [{(30+10*n)*a(n+4)+(-65-15*n)*a(n+3)+(19+6*n)*a(n+2)+(-2-n)*a(n+1),a(0)=0,a(1)=20,a(2)=70,a(3)=162} ogf] A303609 5.82825 [(25152*f(x)+276361)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x+10*x^2+f(x)-20*x) ogf] A303611 12.5321 [(2*x^2-x+2)/(x-1)/(2*x+1)/(2*x-1) ogf] A303611 13.3539 [(2*x^2-x+2)/(x-1)/(2*x+1)/(2*x-1) ogf] A303611 7.08339 [(662*f(x)+747)*(4*f(x)*x^3-4*f(x)*x^2-f(x)*x-2*x^2+f(x)+x-2) ogf] A303611 7.20875 [{a(n+3)-a(n+2)-4*a(n+1)+4*a(n),a(0)=2,a(1)=1,a(2)=11} ogf] A303611 8.14589 [-(-8*x^4+8*x^3-30*x^2+20*x+1)/(-8*x^5+12*x^4-10*x^3+5*x^2+3*x-2) lgdogf] A303619 4.84795 [(4*x^7-4*x^6+16*x^5-18*x^4+10*x^3-17*x^2+7*x+1)/(4*x^6-4*x^5+12*x^4-8*x^3+5*x^2-5*x+1) ogf] A303619 5.00186 [(4*x^7-4*x^6+16*x^5-18*x^4+10*x^3-17*x^2+7*x+1)/(4*x^6-4*x^5+12*x^4-8*x^3+5*x^2-5*x+1) ogf] A303631 9.20212 [-x*(x^3+x^2+x-1)/(x^5-x^4-2*x^2-x+1) ogf] A303631 9.20212 [-x*(x^3+x^2+x-1)/(x^5-x^4-2*x^2-x+1) ogf] A303647 11.1909 [(x^2+x+1)/(x-1)/(x^3+3*x^2+3*x-1) ogf] A303647 6.71451 [(298*f(x)+135)*(f(x)*x^4+2*f(x)*x^3-4*f(x)*x-x^2+f(x)-x-1) ogf] A303649 12.6506 [x^3*(x^4-2*x^2+2*x+1)/(x+1)^2/(x-1)^6 ogf] A303649 6.96853 [x^3*(x^4-2*x^2+2*x+1)/(x+1)^2/(x-1)^6 ogf] A303649 7.83130 [-(4*x^5+4*x^4-8*x^3+6*x^2+12*x+6)/(x^6-3*x^4+2*x^3+3*x^2-2*x-1) lgdogf] A303677 5.36131 [-(153*f(x)+251)*(2*f(x)*x^4-4*f(x)*x^3+2*x^4-2*x^3-f(x)*x-2*x^2+f(x)-3*x-2) ogf] A303677 8.93552 [-(x-2)*(2*x^3+2*x^2+2*x+1)/(2*x^4-4*x^3-x+1) ogf] A303677 9.39971 [-(x-2)*(2*x^3+2*x^2+2*x+1)/(2*x^4-4*x^3-x+1) ogf] A303678 7.25656 [(x^7+6*x^6+2*x^5-11*x^4-13*x^3+2*x^2-12*x-5)/(x^5+x^4+x-1) ogf] A303678 7.54682 [(x^7+6*x^6+2*x^5-11*x^4-13*x^3+2*x^2-12*x-5)/(x^5+x^4+x-1) ogf] A303679 5.40357 [(2*x^9+7*x^8+13*x^7-7*x^6-3*x^5-24*x^4-19*x^3+6*x^2-23*x-8)/(x+1)/(x^2-x+1)/(x^3+x-1) ogf] A303679 6.29673 [(2*x^9+7*x^8+13*x^7-7*x^6-3*x^5-24*x^4-19*x^3+6*x^2-23*x-8)/(x+1)/(x^2-x+1)/(x^3+x-1) ogf] A303680 4.69854 [(3*x^11+17*x^10+26*x^9+27*x^8-13*x^7-29*x^6-18*x^5-33*x^4-25*x^3+10*x^2-36*x-13)/(x^2+1)/(x^5-x^3+x^2+x-1) ogf] A303680 5.34218 [(3*x^11+17*x^10+26*x^9+27*x^8-13*x^7-29*x^6-18*x^5-33*x^4-25*x^3+10*x^2-36*x-13)/(x^2+1)/(x^5-x^3+x^2+x-1) ogf] A303684 7.50461 [x*(4*x^4-4*x^3-4*x+3)/(4*x^5+2*x^4-2*x^3-x^2-3*x+1) ogf] A303684 7.85776 [x*(4*x^4-4*x^3-4*x+3)/(4*x^5+2*x^4-2*x^3-x^2-3*x+1) ogf] A303692 12.6334 [x^2*(x^3+7*x^2+7*x+9)/(x+1)^3/(x-1)^4 ogf] A303692 7.53366 [x^2*(x^3+7*x^2+7*x+9)/(x+1)^3/(x-1)^4 ogf] A303692 8.21169 [-(-4*x^4-36*x^3-52*x^2-84*x-16)/(-x^5-7*x^4-6*x^3-2*x^2+7*x+9) lgdogf] A303714 13.2024 [(3*x^3-2*x^2-3)/(2*x^3+x-1) ogf] A303714 14.1988 [(3*x^3-2*x^2-3)/(2*x^3+x-1) ogf] A303714 6.60122 [{a(n+4)-a(n+3)-2*a(n+1),a(0)=3,a(1)=3,a(2)=5,a(3)=8} ogf] A303714 7.67897 [(3*f(x)+11)*(2*f(x)*x^3-3*x^3+f(x)*x+2*x^2-f(x)+3) ogf] A303715 6.35318 [-(x^5+9*x^4+11*x^3+2*x^2-5)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303715 6.35319 [-(x^5+9*x^4+11*x^3+2*x^2-5)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303716 5.27947 [-(2*x^8+4*x^7-4*x^6-11*x^5-2*x^4+9*x^3+x^2+x-8)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303716 5.27948 [-(2*x^8+4*x^7-4*x^6-11*x^5-2*x^4+9*x^3+x^2+x-8)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303717 5.57624 [-(6*x^8+12*x^7-3*x^6-26*x^5-17*x^4+2*x^2-13)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303717 5.57625 [-(6*x^8+12*x^7-3*x^6-26*x^5-17*x^4+2*x^2-13)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303718 4.85549 [-(28*x^8+45*x^7-11*x^6-97*x^5-70*x^4-35*x^3+4*x^2-2*x-21)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303718 4.8555 [-(28*x^8+45*x^7-11*x^6-97*x^5-70*x^4-35*x^3+4*x^2-2*x-21)/(x^3-x^2-1)/(x^3+2*x^2+x-1) ogf] A303721 4.45709 [-(4518*f(x)+24559)*(4*f(x)*x^4+4*f(x)*x^3+8*x^4-f(x)*x^2+14*x^3-3*f(x)*x+5*x^2+f(x)-2*x-2) ogf] A303721 7.77514 [-(8*x^4+14*x^3+5*x^2-2*x-2)/(2*x-1)/(2*x^3+3*x^2+x-1) ogf] A303721 8.13677 [-(8*x^4+14*x^3+5*x^2-2*x-2)/(2*x-1)/(2*x^3+3*x^2+x-1) ogf] A303722 5.54518 [-(2*x^8-20*x^7+26*x^6+24*x^5-28*x^4-4*x^3-19*x^2+13*x+4)/(x-1)/(2*x^5-2*x^3-x^2-x+1) ogf] A303722 5.71450 [-(2*x^8-20*x^7+26*x^6+24*x^5-28*x^4-4*x^3-19*x^2+13*x+4)/(x-1)/(2*x^5-2*x^3-x^2-x+1) ogf] A303723 5.59245 [(43*x^7-13*x^6-83*x^5-54*x^4-19*x^3-11*x^2+41*x+8)/(x-1)/(2*x^5+3*x^4+2*x^3+x^2-1) ogf] A303723 5.7672 [(43*x^7-13*x^6-83*x^5-54*x^4-19*x^3-11*x^2+41*x+8)/(x-1)/(2*x^5+3*x^4+2*x^3+x^2-1) ogf] A303724 4.1494 [-(3*x^11-123*x^9+151*x^8+115*x^7-33*x^6+27*x^5-31*x^4-21*x^3-163*x^2+88*x+16)/(x-1)/(2*x^7+x^6-x^3-x^2-x+1) ogf] A303724 4.46859 [-(3*x^11-123*x^9+151*x^8+115*x^7-33*x^6+27*x^5-31*x^4-21*x^3-163*x^2+88*x+16)/(x-1)/(2*x^7+x^6-x^3-x^2-x+1) ogf] A303730 11.6137 [-(4*x^3-4*x^2+x)/(x^3-5*x^2+4*x-1) revogf] A303730 13.1622 [-x*(2*x-1)^2/(x^3-5*x^2+4*x-1) revogf] A303730 6.98878 [f(x)^3*x^3+4*f(x)^3*x^2-5*f(x)^2*x^2-4*f(x)^2*x+4*f(x)*x+f(x)-1 ogf] A303749 3.96364 [-(3*x^5-3*x^4+x^3-2*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A303749 4.83238 [-(3*x^5-3*x^4+x^3-2*x-1)/(x-1)/(x+1)/(3*x^2-1) ogf] A303784 10.159 [-(x^37-17*x^21+89*x^20+17*x^19-90*x^18+8*x^3-10*x-1)/(x-1)^2/(x+1)^2 ogf] A303784 10.1590 [-(x^37-17*x^21+89*x^20+17*x^19-90*x^18+8*x^3-10*x-1)/(x+1)^2/(x-1)^2 ogf] A303794 8.33050 [2*(4*x^5-8*x^3+2*x^2+1)/(8*x^5+8*x^4-8*x^3-2*x+1) ogf] A303794 8.43336 [2*(4*x^5-8*x^3+2*x^2+1)/(8*x^5+8*x^4-8*x^3-2*x+1) ogf] A303795 4.94102 [(12*x^9+4*x^8-12*x^7-10*x^6-9*x^5-x^4-7*x^3+x^2+8*x+4)/(x^2+1)/(2*x^5+2*x^4-x^3-2*x^2-x+1) ogf] A303795 5.07827 [(12*x^9+4*x^8-12*x^7-10*x^6-9*x^5-x^4-7*x^3+x^2+8*x+4)/(x^2+1)/(2*x^5+2*x^4-x^3-2*x^2-x+1) ogf] A303802 5.07827 [-(66*f(x)+161)*(4*f(x)*x^4-4*f(x)*x^3+4*x^4+f(x)*x^2-2*f(x)*x+x^2+f(x)-x-2) ogf] A303802 8.60318 [-(4*x^4+x^2-x-2)/(x-1)/(2*x-1)/(2*x^2+x+1) ogf] A303802 9.49703 [-(4*x^4+x^2-x-2)/(2*x-1)/(x-1)/(2*x^2+x+1) ogf] A303803 3.81343 [-(10*x^9+18*x^8+12*x^7+x^6-19*x^5-6*x^4+4*x^3-9*x^2-2*x+3)/(x+1)/(2*x^9+2*x^8-8*x^7+7*x^6-9*x^5+4*x^4+2*x^3-5*x^2+4*x-1) ogf] A303803 3.87771 [-(10*x^9+18*x^8+12*x^7+x^6-19*x^5-6*x^4+4*x^3-9*x^2-2*x+3)/(x+1)/(2*x^9+2*x^8-8*x^7+7*x^6-9*x^5+4*x^4+2*x^3-5*x^2+4*x-1) ogf] A303812 15.8273 [-x*(x^2+24*x+1)/(x+1)^2/(x-1)^3 ogf] A303813 12.0220 [-x*(x^2+15*x+1)/(x+1)^2/(x-1)^3 ogf] A303813 15.9001 [-x*(x^2+15*x+1)/(x+1)^2/(x-1)^3 ogf] A303814 10.7342 [-x*(x^2+20*x+1)/(x+1)^2/(x-1)^3 ogf] A303814 14.1969 [-x*(x^2+20*x+1)/(x+1)^2/(x-1)^3 ogf] A303815 10.4889 [-x*(x^2+25*x+1)/(x+1)^2/(x-1)^3 ogf] A303815 13.8725 [-x*(x^2+25*x+1)/(x+1)^2/(x-1)^3 ogf] A303816 9.17495 [(x^9-8*x^8+3*x^7-2*x^6-x^5+6*x^4-3*x^2-4*x-1)/(x-1)/(x^8+1) ogf] A303817 8.79556 [-(2*x^9+7*x^8-7*x^7+3*x^6-2*x^5-x^4+6*x^3-x+2)/(x-1)/(x^8+1) ogf] A303834 7.01744 [-(24*x^4-34*x^3-42*x^2+9*x+3)/(x+1)/(x^2-3*x+1)/(4*x^2+2*x-1) ogf] A303834 7.52386 [-(24*x^4-34*x^3-42*x^2+9*x+3)/(x+1)/(x^2-3*x+1)/(4*x^2+2*x-1) ogf] A303848 13.4199 [-(90*x^19-90*x^18+9*x^2-9*x-1)/(x+1)/(x-1)^2 ogf] A303848 14.1171 [-(90*x^19-90*x^18+9*x^2-9*x-1)/(x+1)/(x-1)^2 ogf] A303850 12.7654 [-(90*x^19-90*x^18+9*x^2-9*x-1)/(x+1)/(x-1)^2 ogf] A303850 13.4286 [-(90*x^19-90*x^18+9*x^2-9*x-1)/(x+1)/(x-1)^2 ogf] A303882 7.65104 [(4*x^5-2*x^3-6*x^2+1)/(4*x^5+6*x^4-2*x^3+2*x^2-4*x+1) ogf] A303882 8.01108 [(4*x^5-2*x^3-6*x^2+1)/(4*x^5+6*x^4-2*x^3+2*x^2-4*x+1) ogf] A303890 4.38352 [-(862*f(x)-553)*(4*f(x)*x^4+4*f(x)*x^3+f(x)*x^2+6*x^3+3*f(x)*x+x^2-f(x)+4*x+1) ogf] A303890 8.25468 [-(6*x^3+x^2+4*x+1)/(4*x^4+4*x^3+x^2+3*x-1) ogf] A303890 8.25469 [-(6*x^3+x^2+4*x+1)/(4*x^4+4*x^3+x^2+3*x-1) ogf] A303902 14.3380 [-(x^4-3*x^2-x)/(x^4-2*x^2+1) ogf_with_Euler_transform] A303902 14.4282 [-x*(x^3-3*x-1)/(x-1)^2/(x+1)^2 ogf_with_Euler_transform] A303916 18.9619 [12*x^2*(x+1)/(x-1)^6 ogf] A303930 4.95503 [-(20*x^7-60*x^6+22*x^5+45*x^4-30*x^3-4*x^2+6*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1)/(5*x^4-5*x^2+1) ogf] A303930 5.37377 [-(20*x^7-60*x^6+22*x^5+45*x^4-30*x^3-4*x^2+6*x-1)/(x^2-3*x+1)/(5*x^2-5*x+1)/(5*x^4-5*x^2+1) ogf] A303952 3.30969 [5*f(x)^2*x^4-21*f(x)^2*x^3+29*f(x)^2*x^2+5*f(x)*x^3-15*f(x)^2*x-21*f(x)*x^2+2*f(x)^2+19*f(x)*x+x^2-3*f(x)-6*x+1 ogf] A303952 4.88315 [-1/2*(5*x^2+((5*x-1)*(x-1)*(x+1)^2)^(1/2)-16*x+3)/(5*x-1)/(x-2)/(x-1) ogf] A303956 5.03866 [(16*x^7+16*x^6-9*x^5-18*x^4-11*x^3-2*x^2+x+4)/(4*x^7+6*x^6+2*x^5-2*x^4-3*x^3-2*x^2-x+1) ogf] A303956 5.19019 [(16*x^7+16*x^6-9*x^5-18*x^4-11*x^3-2*x^2+x+4)/(4*x^7+6*x^6+2*x^5-2*x^4-3*x^3-2*x^2-x+1) ogf] A303963 10.3022 [-(4*x^3-4*x^2-3*x-2)/(4*x^4-8*x^3-x+1) ogf] A303963 10.3022 [-(4*x^3-4*x^2-3*x-2)/(4*x^4-8*x^3-x+1) ogf] A303963 5.46808 [-(16937*f(x)+6277)*(4*f(x)*x^4-8*f(x)*x^3+4*x^3-f(x)*x-4*x^2+f(x)-3*x-2) ogf] A303964 4.30654 [-(x^11+x^10+x^9+x^8+4*x^7+5*x^6-4*x^4-7*x^3-4*x^2-6*x-3)/(x^12+x^11+x^7-x^6-x^5-2*x^4-2*x^3-x+1) ogf] A303964 4.30654 [-(x^11+x^10+x^9+x^8+4*x^7+5*x^6-4*x^4-7*x^3-4*x^2-6*x-3)/(x^12+x^11+x^7-x^6-x^5-2*x^4-2*x^3-x+1) ogf] A303977 4.98025 [[1] ogf_with_Euler_transform] A304004 10.3470 [-(2*x+1)*(x+1)*(2*x^2-1)/(2*x-1)/(2*x^3+x^2-x-1) ogf] A304004 5.71153 [-(64*f(x)-55)*(4*f(x)*x^4+4*x^4-3*f(x)*x^2+6*x^3-f(x)*x+f(x)-3*x-1) ogf] A304004 7.67679 [-(2*x+1)*(x+1)*(2*x^2-1)/(2*x-1)/(2*x^3+x^2-x-1) ogf] A304013 5.75304 [-(8*x^5+24*x^4+20*x^3+3*x^2-5*x-1)/(2*x-1)/(x+1)/(4*x^3+4*x^2+x-1) ogf] A304013 6.14027 [-(8*x^5+24*x^4+20*x^3+3*x^2-5*x-1)/(2*x-1)/(x+1)/(4*x^3+4*x^2+x-1) ogf] A304036 2.89126 [-(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)*(x^8+x^7-x^5-x^4-x^3+x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1) ogf] A304052 6.63267 [(24*x^5-12*x^4-18*x^3+5*x^2+2*x+1)/(16*x^5+4*x^4-8*x^3-3*x^2-x+1) ogf] A304052 6.89535 [(24*x^5-12*x^4-18*x^3+5*x^2+2*x+1)/(16*x^5+4*x^4-8*x^3-3*x^2-x+1) ogf] A304121 6.57823 [-1/2*x^3-1/2*x^2-1/2*x-1/2+1/2*(x^6+2*x^5+3*x^4+4*x^3+3*x^2+6*x+1)^(1/2) revogf] A304121 9.42068 [f(x)^3*x^3+f(x)^2*x^2+f(x)*x-f(x)+x+1 ogf] A304128 10.3251 [(2*x^6-2*x^5-4*x^3-2*x^2-4*x-3)/(2*x^3+x-1) ogf] A304128 9.78875 [(2*x^6-2*x^5-4*x^3-2*x^2-4*x-3)/(2*x^3+x-1) ogf] A304129 3.84245 [(4*x^12+4*x^11-20*x^10-5*x^9-14*x^8+25*x^7+40*x^6+2*x^5+15*x^4-10*x^3-2*x^2-12*x-5)/(2*x^10-2*x^8-5*x^7-x^6+x^5+3*x^3+x-1) ogf] A304129 3.92783 [(4*x^12+4*x^11-20*x^10-5*x^9-14*x^8+25*x^7+40*x^6+2*x^5+15*x^4-10*x^3-2*x^2-12*x-5)/(2*x^10-2*x^8-5*x^7-x^6+x^5+3*x^3+x-1) ogf] A304136 4.86999 [(8*x^9-27*x^7-21*x^6-7*x^5+29*x^4+8*x^3+3*x^2-6*x-1)/(x-1)/(x^2+x+1)/(x^2+x-1)/(4*x^3-1) ogf] A304136 5.00161 [(8*x^9-27*x^7-21*x^6-7*x^5+29*x^4+8*x^3+3*x^2-6*x-1)/(x-1)/(x^2+x+1)/(x^2+x-1)/(4*x^3-1) ogf] A304137 5.31171 [(6*x^9+6*x^8+x^7-20*x^6-37*x^5+22*x^4+9*x^3+17*x^2-11*x-1)/(x-1)/(x^2+x-1)/(3*x^3-1) ogf] A304137 5.63859 [(6*x^9+6*x^8+x^7-20*x^6-37*x^5+22*x^4+9*x^3+17*x^2-11*x-1)/(x-1)/(x^2+x-1)/(3*x^3-1) ogf] A304143 6.52662 [-(8*x^5+18*x^4+14*x^3+3*x^2-5*x-1)/(2*x-1)/(x+1)/(2*x^3+2*x^2+x-1) ogf] A304143 7.03355 [-(8*x^5+18*x^4+14*x^3+3*x^2-5*x-1)/(2*x-1)/(x+1)/(2*x^3+2*x^2+x-1) ogf] A304157 16.7364 [-(5*x+17)/(5*x^2+x-6) lgdogf] A304157 17.4486 [4*(5*x+6)/(x-1)^2 ogf] A304157 22.1644 [4*(5*x+6)/(x-1)^2 ogf] A304157 9.11202 [(11*f(x)+314)*(f(x)*x^2-2*f(x)*x+f(x)-20*x-24) ogf] A304157 9.76288 [{-a(n+2)+2*a(n+1)-a(n),a(0)=24,a(1)=68} ogf] A304158 10.8978 [{-a(n+2)+2*a(n+1)-a(n),a(0)=24,a(1)=84} ogf] A304158 19.0711 [-(-3*x-7)/(-3*x^2+x+2) lgdogf] A304158 19.4769 [12*(3*x+2)/(x-1)^2 ogf] A304158 24.0898 [12*(3*x+2)/(x-1)^2 ogf] A304158 9.95015 [(95*f(x)+12126)*(f(x)*x^2-2*f(x)*x+f(x)-36*x-24) ogf] A304159 13.2505 [2*(x^3+3*x^2+x+1)/(x-1)^4 ogf] A304159 13.4249 [-(-x^3-9*x^2-9*x-5)/(-x^4-2*x^3+2*x^2+1) lgdogf] A304159 19.2507 [2*(x^3+3*x^2+x+1)/(x-1)^4 ogf] A304159 5.34183 [{(-49*n^2-237*n-278)*a(n+1)+(26*n^2-136*n-586)*a(n+2)+(23*n^2+157*n+264)*a(n+3),a(0)=2,a(1)=10,a(2)=34} ogf] A304159 7.03648 [(17847*f(x)+47845)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-6*x^2+f(x)-2*x-2) ogf] A304160 14.9935 [-(2*x^4+7*x^3+11*x^2+3*x+1)/(x-1)^5 ogf] A304160 9.38988 [-(-2*x^4-22*x^3-54*x^2-34*x-8)/(-2*x^5-5*x^4-4*x^3+8*x^2+2*x+1) lgdogf] A304160 9.68331 [-(2*x^4+7*x^3+11*x^2+3*x+1)/(x-1)^5 ogf] A304161 10.2627 [2*(x^3+5*x^2-3*x+3)/(x-1)^4 ogf] A304161 15.1035 [2*(x^3+5*x^2-3*x+3)/(x-1)^4 ogf] A304161 4.10506 [{(-187*n^2-943*n-1138)*a(n+1)+(210*n^2+288*n-1098)*a(n+2)+(-23*n^2+163*n+696)*a(n+3),a(0)=6,a(1)=18,a(2)=46} ogf] A304161 5.48279 [(15417*f(x)+40771)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-2*x^3-4*f(x)*x-10*x^2+f(x)+6*x-6) ogf] A304161 9.88256 [-(x^3+13*x^2+x+9)/(x^4+4*x^3-8*x^2+6*x-3) lgdogf] A304162 14.0239 [-(5*x^4+20*x^2-6*x+5)/(x-1)^5 ogf] A304162 7.35233 [-(-5*x^4-20*x^3-60*x^2-16*x-19)/(-5*x^5+5*x^4-20*x^3+26*x^2-11*x+5) lgdogf] A304162 8.60557 [-(5*x^4+20*x^2-6*x+5)/(x-1)^5 ogf] A304163 10.9548 [-(x^2+22*x+31)/(x^3+9*x^2-3*x-7) lgdogf] A304163 11.6616 [-(x^2+10*x+7)/(x-1)^3 ogf] A304163 15.7178 [-(x^2+10*x+7)/(x-1)^3 ogf] A304163 6.17966 [(696*f(x)-7217)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+x^2-f(x)+10*x+7) ogf] A304163 6.34228 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=7,a(1)=31,a(2)=73} ogf] A304164 12.0727 [-(-x^2-14*x-12)/(-x^3-5*x^2+4*x+2) lgdogf] A304164 12.6476 [-6*(x^2+6*x+2)/(x-1)^3 ogf] A304164 17.7066 [-6*(x^2+6*x+2)/(x-1)^3 ogf] A304164 6.53113 [(23409*f(x)-636626)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)+36*x+12) ogf] A304164 6.86895 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=72,a(2)=186} ogf] A304165 12.9363 [-(17*x^2+186*x+121)/(17*x^3+59*x^2-61*x-15) lgdogf] A304165 14.3084 [-6*(17*x^2+76*x+15)/(x-1)^3 ogf] A304165 19.674 [-6*(17*x^2+76*x+15)/(x-1)^3 ogf] A304165 7.2088 [(6758559*f(x)-2051051462)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+102*x^2-f(x)+456*x+90) ogf] A304165 8.00299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=90,a(1)=726,a(2)=2010} ogf] A304166 14.1919 [-(23*x^2+198*x+103)/(23*x^3+53*x^2-67*x-9) lgdogf] A304166 15.0268 [-18*(23*x^2+76*x+9)/(x-1)^3 ogf] A304166 21.2879 [-18*(23*x^2+76*x+9)/(x-1)^3 ogf] A304166 7.68285 [(2028321*f(x)-1721010362)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+414*x^2-f(x)+1368*x+162) ogf] A304166 8.51517 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=162,a(1)=1854,a(2)=5490} ogf] A304167 12.8862 [-(15*x^2-15*x+4)/(x-1)/(3*x-1)/(2*x-1) ogf] A304167 14.2957 [-(15*x^2-15*x+4)/(x-1)/(3*x-1)/(2*x-1) ogf] A304167 7.3784 [-(1126*f(x)+3021)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+15*x^2-f(x)-15*x+4) ogf] A304167 8.02564 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=4,a(1)=9,a(2)=25} ogf] A304167 8.31748 [-(90*x^4-180*x^3+147*x^2-58*x+9)/(90*x^5-255*x^4+279*x^3-149*x^2+39*x-4) lgdogf] A304168 11.0341 [(5*f(x)+39)*(6*f(x)*x^2-5*f(x)*x+f(x)+9*x-5) ogf] A304168 11.4330 [{-a(n+2)+5*a(n+1)-6*a(n),a(0)=5,a(1)=16} ogf] A304168 13.5562 [-(-54*x^2+60*x-16)/(-54*x^3+75*x^2-34*x+5) lgdogf] A304168 19.366 [-(9*x-5)/(3*x-1)/(2*x-1) ogf] A304168 21.0874 [-(9*x-5)/(3*x-1)/(2*x-1) ogf] A304169 10.9056 [2*(24*x^2+15*x-13)/(x-1)/(3*x-1)/(2*x-1) ogf] A304169 12.0800 [2*(24*x^2+15*x-13)/(x-1)/(3*x-1)/(2*x-1) ogf] A304169 6.04001 [-(86539*f(x)+12703713)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-48*x^2-f(x)-30*x+26) ogf] A304169 6.65425 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=26,a(1)=126,a(2)=422} ogf] A304169 6.88774 [-(144*x^4+180*x^3-543*x^2+334*x-63)/(144*x^5-174*x^4-99*x^3+209*x^2-93*x+13) lgdogf] A304170 13.1411 [4*(99*x^2-37*x-4)/(x-1)/(3*x-1)/(2*x-1) ogf] A304170 13.9256 [4*(99*x^2-37*x-4)/(x-1)/(3*x-1)/(2*x-1) ogf] A304170 7.01517 [-(101623*f(x)+44551838)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-396*x^2-f(x)+148*x+16) ogf] A304170 7.90692 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=16,a(1)=244,a(2)=892} ogf] A304170 8.11318 [-(594*x^4-444*x^3-259*x^2+286*x-61)/(594*x^5-1311*x^4+977*x^3-277*x^2+13*x+4) lgdogf] A304171 10.7478 [-(-22*x^2+196*x-136)/(-22*x^3+131*x^2-158*x+49) lgdogf] A304171 15.8056 [-(11*x-49)/(2*x-1)/(x-1) ogf] A304171 17.1507 [-(11*x-49)/(2*x-1)/(x-1) ogf] A304171 8.85806 [(53*f(x)+2027)*(2*f(x)*x^2-3*f(x)*x+f(x)+11*x-49) ogf] A304171 9.48334 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=49,a(1)=136} ogf] A304172 11.0458 [(3*f(x)+127)*(2*f(x)*x^2-3*f(x)*x+f(x)+9*x-54) ogf] A304172 11.4356 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=54,a(1)=153} ogf] A304172 14.2946 [-(-2*x^2+24*x-17)/(-2*x^3+15*x^2-19*x+6) lgdogf] A304172 19.8373 [-9*(x-6)/(2*x-1)/(x-1) ogf] A304172 21.1311 [-9*(x-6)/(2*x-1)/(x-1) ogf] A304205 10.4245 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=61} ogf] A304205 16.5219 [-(-37*x-61)/(-37*x^2+25*x+12) lgdogf] A304205 18.6311 [(37*x+12)/(x-1)^2 ogf] A304205 25.0188 [(37*x+12)/(x-1)^2 ogf] A304205 9.62263 [(98*f(x)+2545)*(f(x)*x^2-2*f(x)*x+f(x)-37*x-12) ogf] A304216 5.23843 [-(37203*f(x)+3112)*(2*f(x)*x^4+f(x)*x^3+2*x^4+4*x^3+f(x)*x+3*x^2-f(x)+4*x+3) ogf] A304216 8.92474 [-(x+1)*(2*x^3+2*x^2+x+3)/(2*x^4+x^3+x-1) ogf] A304216 9.38836 [-(x+1)*(2*x^3+2*x^2+x+3)/(2*x^4+x^3+x-1) ogf] A304217 5.81442 [(12*x^8-5*x^7-16*x^6-10*x^5-9*x^4+5*x^3+12*x+5)/(2*x^7-x^5-x^4-2*x^3-x+1) ogf] A304217 6.0132 [(12*x^8-5*x^7-16*x^6-10*x^5-9*x^4+5*x^3+12*x+5)/(2*x^7-x^5-x^4-2*x^3-x+1) ogf] A304218 3.74935 [(2*x^13-2*x^12+16*x^11-10*x^10-25*x^9+7*x^8-13*x^7+4*x^6+11*x^5-22*x^4+6*x^3+x^2+23*x+8)/(x^2+1)/(x^8-x^6+2*x^5-2*x^3-x^2-x+1) ogf] A304218 3.97229 [(2*x^13-2*x^12+16*x^11-10*x^10-25*x^9+7*x^8-13*x^7+4*x^6+11*x^5-22*x^4+6*x^3+x^2+23*x+8)/(x^2+1)/(x^8-x^6+2*x^5-2*x^3-x^2-x+1) ogf] A304225 11.1736 [-(2*x^4-3*x^3+2*x^2-x+4)/(x^3+x-1) ogf] A304225 11.1736 [-(2*x^4-3*x^3+2*x^2-x+4)/(x^3+x-1) ogf] A304225 6.07068 [{a(n+5)-a(n+4)-a(n+2),a(0)=4,a(1)=3,a(2)=5,a(3)=6,a(4)=11} ogf] A304225 6.76295 [(949*f(x)-1423)*(f(x)*x^3+2*x^4-3*x^3+f(x)*x+2*x^2-f(x)-x+4) ogf] A304226 6.93148 [(12*x^7+28*x^6-4*x^5-16*x^4-35*x^3+x^2-3*x+8)/(4*x^6-5*x^3-x+1) ogf] A304226 7.20599 [(12*x^7+28*x^6-4*x^5-16*x^4-35*x^3+x^2-3*x+8)/(4*x^6-5*x^3-x+1) ogf] A304227 5.76609 [(28*x^9+21*x^8+90*x^7+192*x^6-41*x^5-61*x^4-135*x^3+3*x^2-8*x+16)/(14*x^6-9*x^3-x+1) ogf] A304227 5.9521 [(28*x^9+21*x^8+90*x^7+192*x^6-41*x^5-61*x^4-135*x^3+3*x^2-8*x+16)/(14*x^6-9*x^3-x+1) ogf] A304257 8.32876 [-x*(4*x^4-8*x^2-2*x+3)/(2*x-1)/(2*x^4-2*x^3-3*x^2+1) ogf] A304257 8.32876 [-x*(4*x^4-8*x^2-2*x+3)/(2*x-1)/(2*x^4-2*x^3-3*x^2+1) ogf] A304265 13.1775 [(5*x^3-3*x^2-3)/(3*x^3+x-1) ogf] A304265 14.172 [(5*x^3-3*x^2-3)/(3*x^3+x-1) ogf] A304265 6.53143 [{-a(n+4)+a(n+3)+3*a(n+1),a(0)=3,a(1)=3,a(2)=6,a(3)=10} ogf] A304265 7.58702 [(53*f(x)-87)*(3*f(x)*x^3-5*x^3+f(x)*x+3*x^2-f(x)+3) ogf] A304266 6.80240 [(8*x^6+5*x^5-11*x^4-19*x^3+5)/(3*x^6+3*x^5-x^4-5*x^3-x^2-x+1) ogf] A304266 7.06657 [(8*x^6+5*x^5-11*x^4-19*x^3+5)/(3*x^6+3*x^5-x^4-5*x^3-x^2-x+1) ogf] A304267 3.67243 [(19*x^9-23*x^8-14*x^7-58*x^6-6*x^5+25*x^4+56*x^3-4*x^2+x-8)/(4*x^9-4*x^8-5*x^7-12*x^6-2*x^5+4*x^4+10*x^3+x^2+x-1) ogf] A304267 3.75934 [(19*x^9-23*x^8-14*x^7-58*x^6-6*x^5+25*x^4+56*x^3-4*x^2+x-8)/(4*x^9-4*x^8-5*x^7-12*x^6-2*x^5+4*x^4+10*x^3+x^2+x-1) ogf] A304293 10.1669 [-4*x*(2*x^2-1)/(x-1)/(2*x-1)/(2*x^2+x+1) ogf] A304293 12.0439 [-4*x*(2*x^2-1)/(2*x-1)/(x-1)/(2*x^2+x+1) ogf] A304293 6.06862 [(189*f(x)+358)*(4*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+8*x^3-2*f(x)*x+f(x)-4*x) ogf] A304293 7.31637 [-(-16*x^5+8*x^4+16*x^3-16*x^2+6*x-2)/(-8*x^6+8*x^5+2*x^4-x^2-2*x+1) lgdogf] A304297 5.70862 [-(2*x^8-x^7+x^6+4*x^5+5*x^4-2*x^2-2*x-1)/(2*x^9+x^8+2*x^7+4*x^6-2*x^4-3*x^3-x^2+1) ogf] A304297 5.70863 [-(2*x^8-x^7+x^6+4*x^5+5*x^4-2*x^2-2*x-1)/(2*x^9+x^8+2*x^7+4*x^6-2*x^4-3*x^3-x^2+1) ogf] A304304 4.39318 [(96848+310835*f(x))*(8*f(x)*x^4+6*f(x)*x^3+8*x^4-3*f(x)*x^2+16*x^3-3*f(x)*x+7*x^2+f(x)-2*x-2) ogf] A304304 7.56602 [-(8*x^4+16*x^3+7*x^2-2*x-2)/(2*x-1)/(4*x^3+5*x^2+x-1) ogf] A304304 7.91794 [-(8*x^4+16*x^3+7*x^2-2*x-2)/(2*x-1)/(4*x^3+5*x^2+x-1) ogf] A304341 5.99367 [2*(x^2+x-1)*(6*x^3-3*x^2-x-1)/(8*x^5+10*x^4-6*x^3-2*x^2-2*x+1) ogf] A304341 6.35330 [2*(x^2+x-1)*(6*x^3-3*x^2-x-1)/(8*x^5+10*x^4-6*x^3-2*x^2-2*x+1) ogf] A304349 4.99038 [(16*f(x)+11)*(8*f(x)*x^4-8*f(x)*x^3+f(x)*x^2+8*x^3-2*f(x)*x-x^2+f(x)-x-2) ogf] A304349 9.00862 [-(8*x^3-x^2-x-2)/(x-1)/(8*x^3+x-1) ogf] A304349 9.50223 [-(8*x^3-x^2-x-2)/(x-1)/(8*x^3+x-1) ogf] A304370 10.3728 [(8*x^2-14*x+9)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A304370 11.3158 [(8*x^2-14*x+9)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A304370 3.53954 [{(24*n+104)*a(n+1)+(-42*n-158)*a(n+2)+(21*n+73)*a(n+3)+(-3*n-10)*a(n+4),a(0)=9,a(1)=58,a(2)=283,a(3)=1244} ogf] A304370 5.11536 [(75544119*f(x)-37061296)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-8*x^2+f(x)+14*x-9) ogf] A304370 6.60922 [-(128*x^4-384*x^3+520*x^2-304*x+58)/(64*x^5-224*x^4+324*x^3-232*x^2+77*x-9) lgdogf] A304371 10.0925 [(8*x^3-14*x^2+7*x+5)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A304371 3.57341 [{(16*n+72)*a(n+1)+(-28*n-110)*a(n+2)+(14*n+51)*a(n+3)+(-2*n-7)*a(n+4),a(0)=5,a(1)=47,a(2)=257,a(3)=1187} ogf] A304371 4.97895 [(743509*f(x)-468196)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*x^3-8*f(x)*x+14*x^2+f(x)-7*x-5) ogf] A304371 9.33552 [(8*x^3-14*x^2+7*x+5)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A304373 6.14866 [(70000000000000000000001*x+199999999999999999999990)/(x-1)/(x-10) ogf] A304374 15.6482 [-(x^2+2*x-12)/(x^3-x^2-4*x+4) lgdogf] A304374 17.5367 [6*(x-2)*(x+2)/(x-1)^3 ogf] A304374 20.7577 [6*(x-2)*(x+2)/(x-1)^3 ogf] A304374 8.76836 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=72,a(2)=138} ogf] A304374 8.92216 [(873*f(x)-45262)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+24) ogf] A304375 15.6871 [-(-4*x^2+2*x+29)/(-4*x^3+9*x^2+3*x-8) lgdogf] A304375 15.9322 [3*(4*x^2-5*x-8)/(x-1)^3 ogf] A304375 22.659 [3*(4*x^2-5*x-8)/(x-1)^3 ogf] A304375 8.56855 [(121*f(x)-7519)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-12*x^2-f(x)+15*x+24) ogf] A304375 8.79017 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=87,a(2)=177} ogf] A304376 10.2212 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=72,a(1)=192} ogf] A304376 13.1636 [-(-2*x^2+12*x-8)/(-2*x^3+9*x^2-10*x+3) lgdogf] A304376 13.3661 [-2*f(x)*x^2+3*f(x)*x-f(x)-24*x+72 ogf] A304376 17.376 [-24*(x-3)/(2*x-1)/(x-1) ogf] A304376 18.4851 [-24*(x-3)/(2*x-1)/(x-1) ogf] A304377 10.5897 [(7*f(x)+596)*(2*f(x)*x^2-3*f(x)*x+f(x)+12*x-108) ogf] A304377 11.0823 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=108,a(1)=312} ogf] A304377 14.0159 [-(-2*x^2+36*x-26)/(-2*x^3+21*x^2-28*x+9) lgdogf] A304377 19.0615 [-12*(x-9)/(2*x-1)/(x-1) ogf] A304377 19.8558 [-12*(x-9)/(2*x-1)/(x-1) ogf] A304378 13.8177 [-4*x*(23*x+9)/(x-1)^3 ogf] A304378 15.6777 [-(-46*x-50)/(-23*x^2+14*x+9) lgdogf] A304378 19.4105 [-4*x*(23*x+9)/(x-1)^3 ogf] A304378 6.68231 [(1143552*f(x)-46661321)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+92*x^2-f(x)+36*x) ogf] A304378 7.15125 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=36,a(2)=200} ogf] A304379 12.4624 [-(-164*x^2-214*x-6)/(-164*x^3+221*x^2-78*x+21) lgdogf] A304379 13.9730 [-4*(164*x^2-57*x+21)/(x-1)^3 ogf] A304379 18.8208 [-4*(164*x^2-57*x+21)/(x-1)^3 ogf] A304379 6.78103 [-(21516288*f(x)-3834757127)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+656*x^2-f(x)-228*x+84) ogf] A304379 7.95017 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=84,a(1)=24,a(2)=476} ogf] A304380 14.8226 [-8*(5*x+4)/(x-1)^3 ogf] A304380 16.3048 [-(10*x+17)/(5*x^2-x-4) lgdogf] A304380 22.0336 [-8*(5*x+4)/(x-1)^3 ogf] A304380 6.96788 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32,a(1)=136,a(2)=312} ogf] A304380 7.08906 [(46413*f(x)-2213416)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+40*x+32) ogf] A304381 12.2059 [-(x^2+38*x+42)/(x^3+17*x^2-10*x-8) lgdogf] A304381 13.1746 [-4*(x^2+18*x+8)/(x-1)^3 ogf] A304381 18.0434 [-4*(x^2+18*x+8)/(x-1)^3 ogf] A304381 6.53542 [(6484455*f(x)-408864292)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+72*x+32) ogf] A304381 7.09400 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=32,a(1)=168,a(2)=412} ogf] A304383 10.9709 [-(-124*x^2+268*x-139)/(-124*x^3+320*x^2-263*x+67) lgdogf] A304383 16.5639 [-(62*x-67)/(2*x-1)/(x-1) ogf] A304383 17.9737 [-(62*x-67)/(2*x-1)/(x-1) ogf] A304383 9.18218 [(149*f(x)+9338)*(2*f(x)*x^2-3*f(x)*x+f(x)+62*x-67) ogf] A304383 9.93838 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=67,a(1)=139} ogf] A304384 10.4473 [-(-284*x^2+620*x-323)/(-284*x^3+736*x^2-607*x+155) lgdogf] A304384 15.3752 [-2*(142*x-155)/(2*x-1)/(x-1) ogf] A304384 16.6303 [-2*(142*x-155)/(2*x-1)/(x-1) ogf] A304384 8.48839 [(349*f(x)+100468)*(2*f(x)*x^2-3*f(x)*x+f(x)+284*x-310) ogf] A304384 9.47543 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=310,a(1)=646} ogf] A304385 14.5234 [-(322*x-353)/(2*x-1)/(x-1) ogf] A304385 15.7089 [-(322*x-353)/(2*x-1)/(x-1) ogf] A304385 8.01812 [(799*f(x)+261122)*(2*f(x)*x^2-3*f(x)*x+f(x)+322*x-353) ogf] A304385 8.95044 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=353,a(1)=737} ogf] A304385 9.50294 [-(-644*x^2+1412*x-737)/(-644*x^3+1672*x^2-1381*x+353) lgdogf] A304387 10.1497 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=22,a(1)=49} ogf] A304387 12.0081 [-(-34*x^2+88*x-49)/(-34*x^3+95*x^2-83*x+22) lgdogf] A304387 16.7171 [-(17*x-22)/(2*x-1)/(x-1) ogf] A304387 18.1398 [-(17*x-22)/(2*x-1)/(x-1) ogf] A304387 9.36891 [(59*f(x)+1103)*(2*f(x)*x^2-3*f(x)*x+f(x)+17*x-22) ogf] A304388 10.4518 [-(-124*x^2+268*x-139)/(-124*x^3+320*x^2-263*x+67) lgdogf] A304388 15.7801 [-4*(62*x-67)/(2*x-1)/(x-1) ogf] A304388 16.4242 [-4*(62*x-67)/(2*x-1)/(x-1) ogf] A304388 8.47141 [(149*f(x)+37352)*(2*f(x)*x^2-3*f(x)*x+f(x)+248*x-268) ogf] A304388 9.35797 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=268,a(1)=556} ogf] A304389 10.1054 [(263*f(x)+55672)*(2*f(x)*x^2-3*f(x)*x+f(x)+208*x-230) ogf] A304389 11.1629 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=230,a(1)=482} ogf] A304389 12.3078 [-(-208*x^2+460*x-241)/(-208*x^3+542*x^2-449*x+115) lgdogf] A304389 18.1134 [-2*(104*x-115)/(2*x-1)/(x-1) ogf] A304389 19.5920 [-2*(104*x-115)/(2*x-1)/(x-1) ogf] A304421 10.7845 [-(x^2+4*x+1)/(2*x^3+3*x^2+3*x-1) ogf] A304421 10.7845 [-(x^2+4*x+1)/(2*x^3+3*x^2+3*x-1) ogf] A304421 5.39227 [-(9929*f(x)+16179)*(2*f(x)*x^3+3*f(x)*x^2+3*f(x)*x+x^2-f(x)+4*x+1) ogf] A304421 5.82173 [{-a(n+3)+3*a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=7,a(2)=25} ogf] A304421 6.51343 [-(2*x^4+16*x^3+15*x^2+8*x+7)/(2*x^5+11*x^4+17*x^3+14*x^2-x-1) lgdogf] A304467 3.2581 [(x+1)*(48*x^10+18*x^9-169*x^8+27*x^7+22*x^6+187*x^5-108*x^4-11*x^3-27*x^2+5*x+4)/(x^2+2*x-1)/(10*x^8-10*x^6-11*x^5+2*x^4+11*x^3+x^2+x-1) ogf] A304487 13.5033 [(x^3+5*x^2+x+1)/(x+1)/(x-1)^4 ogf] A304490 5.03198 [-(x^16-x^15-x^14+x^13-2*x^12+2*x^11+x^10-x^9+3*x^8-4*x^7+x^6-2*x^5-2*x^3-2*x^2+x-1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A304498 6.21267 [(3*x^8+2*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+3*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A304498 7.51168 [(3*x^8+2*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+3*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A304501 4.77622 [-(x^23-x^22-x^14+x^13-3*x^8-2*x^7-2*x^6-2*x^5-3*x^4-2*x^3-3*x^2-2*x-2)/(x^6+x^3+1)/(x^2+x+1)/(x-1)^2 ogf] A304501 5.65949 [-(x^23-x^22-x^14+x^13-3*x^8-2*x^7-2*x^6-2*x^5-3*x^4-2*x^3-3*x^2-2*x-2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A304503 14.9893 [-6*(7*x+2)/(x-1)^3 ogf] A304503 16.4883 [-(-14*x-13)/(-7*x^2+5*x+2) lgdogf] A304503 22.2814 [-6*(7*x+2)/(x-1)^3 ogf] A304503 7.10701 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=78,a(2)=198} ogf] A304503 7.36083 [(1863*f(x)-61976)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+42*x+12) ogf] A304504 12.3968 [-(x^2+46*x+34)/(x^3+21*x^2-18*x-4) lgdogf] A304504 13.3806 [-3*(x^2+22*x+4)/(x-1)^3 ogf] A304504 18.3257 [-3*(x^2+22*x+4)/(x-1)^3 ogf] A304504 6.96678 [(7911*f(x)-365587)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+66*x+12) ogf] A304504 7.20496 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=102,a(2)=273} ogf] A304505 15.3269 [-8*(7*x+2)/(x-1)^3 ogf] A304505 16.8596 [-(-14*x-13)/(-7*x^2+5*x+2) lgdogf] A304505 22.7833 [-8*(7*x+2)/(x-1)^3 ogf] A304505 7.20496 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=104,a(2)=264} ogf] A304505 7.46001 [(5589*f(x)-247904)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+56*x+16) ogf] A304506 12.6152 [-(x^2+46*x+34)/(x^3+21*x^2-18*x-4) lgdogf] A304506 13.6164 [-4*(x^2+22*x+4)/(x-1)^3 ogf] A304506 18.6486 [-4*(x^2+22*x+4)/(x-1)^3 ogf] A304506 6.97427 [(23733*f(x)-1462348)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+88*x+16) ogf] A304506 7.33192 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=136,a(2)=364} ogf] A304507 15.4620 [-10*(7*x+2)/(x-1)^3 ogf] A304507 17.0082 [-(-14*x-13)/(-7*x^2+5*x+2) lgdogf] A304507 22.3792 [-10*(7*x+2)/(x-1)^3 ogf] A304507 7.26844 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=130,a(2)=330} ogf] A304507 7.52573 [(5589*f(x)-309880)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+70*x+20) ogf] A304508 12.8337 [-(x^2+46*x+34)/(x^3+21*x^2-18*x-4) lgdogf] A304508 13.6358 [-5*(x^2+22*x+4)/(x-1)^3 ogf] A304508 18.9715 [-5*(x^2+22*x+4)/(x-1)^3 ogf] A304508 7.03782 [(23733*f(x)-1827935)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+110*x+20) ogf] A304508 7.45888 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=170,a(2)=455} ogf] A304509 11.0769 [-(-32*x^2+116*x-71)/(-32*x^3+106*x^2-103*x+29) lgdogf] A304509 16.0723 [-3*(16*x-29)/(2*x-1)/(x-1) ogf] A304509 17.4402 [-3*(16*x-29)/(2*x-1)/(x-1) ogf] A304509 9.00757 [(97*f(x)+6684)*(2*f(x)*x^2-3*f(x)*x+f(x)+48*x-87) ogf] A304509 9.64340 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=87,a(1)=213} ogf] A304510 10.7969 [(53*f(x)+4038)*(2*f(x)*x^2-3*f(x)*x+f(x)+54*x-96) ogf] A304510 11.5590 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=96,a(1)=234} ogf] A304510 13.8383 [-(-18*x^2+64*x-39)/(-18*x^3+59*x^2-57*x+16) lgdogf] A304510 19.6504 [-6*(9*x-16)/(2*x-1)/(x-1) ogf] A304510 20.9047 [-6*(9*x-16)/(2*x-1)/(x-1) ogf] A304511 10.0828 [(81*f(x)+29072)*(2*f(x)*x^2-3*f(x)*x+f(x)+264*x-450) ogf] A304511 10.8940 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=450,a(1)=1086} ogf] A304511 12.6371 [-(-88*x^2+300*x-181)/(-88*x^3+282*x^2-269*x+75) lgdogf] A304511 18.5839 [-6*(44*x-75)/(2*x-1)/(x-1) ogf] A304511 19.3425 [-6*(44*x-75)/(2*x-1)/(x-1) ogf] A304512 11.2692 [-(-54*x^2+176*x-105)/(-54*x^3+169*x^2-159*x+44) lgdogf] A304512 16.2537 [-12*(27*x-44)/(2*x-1)/(x-1) ogf] A304512 17.2488 [-12*(27*x-44)/(2*x-1)/(x-1) ogf] A304512 8.89675 [(139*f(x)+58908)*(2*f(x)*x^2-3*f(x)*x+f(x)+324*x-528) ogf] A304512 9.71485 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=528,a(1)=1260} ogf] A304513 11.0101 [(17*f(x)+893)*(2*f(x)*x^2-3*f(x)*x+f(x)-19*x-19) ogf] A304513 11.7965 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=19,a(1)=76} ogf] A304513 15.4829 [-(2*x^2+4*x-4)/(2*x^3-x^2-2*x+1) lgdogf] A304513 19.8181 [19*(x+1)/(2*x-1)/(x-1) ogf] A304513 21.0831 [19*(x+1)/(2*x-1)/(x-1) ogf] A304514 11.6428 [(59*f(x)+1284)*(2*f(x)*x^2-3*f(x)*x+f(x)-24*x-21) ogf] A304514 12.6130 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=21,a(1)=87} ogf] A304514 15.1356 [-(16*x^2+28*x-29)/(16*x^3-10*x^2-13*x+7) lgdogf] A304514 21.6223 [3*(8*x+7)/(2*x-1)/(x-1) ogf] A304514 22.5423 [3*(8*x+7)/(2*x-1)/(x-1) ogf] A304515 14.1634 [(143*f(x)+14838)*(2*f(x)*x^2-3*f(x)*x+f(x)-126*x-96) ogf] A304515 15.6631 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=96,a(1)=414} ogf] A304515 18.7515 [-(42*x^2+64*x-69)/(42*x^3-31*x^2-27*x+16) lgdogf] A304515 26.105 [6*(21*x+16)/(2*x-1)/(x-1) ogf] A304515 27.7367 [6*(21*x+16)/(2*x-1)/(x-1) ogf] A304516 10.3242 [(347*f(x)+43158)*(2*f(x)*x^2-3*f(x)*x+f(x)-162*x-111) ogf] A304516 11.4047 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=111,a(1)=495} ogf] A304516 13.0774 [-(108*x^2+148*x-165)/(108*x^3-88*x^2-57*x+37) lgdogf] A304516 19.2314 [3*(54*x+37)/(2*x-1)/(x-1) ogf] A304516 20.0164 [3*(54*x+37)/(2*x-1)/(x-1) ogf] A304517 11.2521 [(75*f(x)+1234)*(2*f(x)*x^2-3*f(x)*x+f(x)+10*x-21) ogf] A304517 12.1898 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=21,a(1)=53} ogf] A304517 14.4217 [-(-20*x^2+84*x-53)/(-20*x^3+72*x^2-73*x+21) lgdogf] A304517 20.0773 [-(10*x-21)/(2*x-1)/(x-1) ogf] A304517 21.7860 [-(10*x-21)/(2*x-1)/(x-1) ogf] A304518 11.1858 [(161*f(x)+10796)*(2*f(x)*x^2-3*f(x)*x+f(x)+36*x-86) ogf] A304518 12.2386 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=86,a(1)=222} ogf] A304518 13.8704 [-(-36*x^2+172*x-111)/(-36*x^3+140*x^2-147*x+43) lgdogf] A304518 20.3976 [-2*(18*x-43)/(2*x-1)/(x-1) ogf] A304518 22.1336 [-2*(18*x-43)/(2*x-1)/(x-1) ogf] A304519 10.7969 [(43*f(x)+2944)*(2*f(x)*x^2-3*f(x)*x+f(x)+32*x-88) ogf] A304519 11.5590 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=88,a(1)=232} ogf] A304519 14.2394 [-(-8*x^2+44*x-29)/(-8*x^3+34*x^2-37*x+11) lgdogf] A304519 19.6504 [-8*(4*x-11)/(2*x-1)/(x-1) ogf] A304519 20.9047 [-8*(4*x-11)/(2*x-1)/(x-1) ogf] A304567 4.84345 [-(15*x^14-60*x^11+8*x^10+5*x^9+90*x^8-12*x^7+31*x^6-60*x^5+23*x^3+15*x^2+4*x+1)/(x-1)^5/(x^2+x+1)^5 ogf] A304567 5.49798 [-(15*x^14-60*x^11+8*x^10+5*x^9+90*x^8-12*x^7+31*x^6-60*x^5+23*x^3+15*x^2+4*x+1)/(x-1)^5/(x^2+x+1)^5 ogf] A304577 2.25085 [-x^4*(x^16+x^12+x^11+x^8+x^6+x^4+x^3+x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A304577 4.72869 [-x^4*(x^16+x^12+x^11+x^8+x^6+x^4+x^3+x^2+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A304578 5.97126 [-(4725*x^5-4635*x^4+1942*x^3-434*x^2+53*x-3)/(5*x-1)^3/(3*x-1)^3 ogf] A304578 8.73218 [-(4725*x^5-4635*x^4+1942*x^3-434*x^2+53*x-3)/(5*x-1)^3/(3*x-1)^3 ogf] A304579 15.2461 [-2*(3*x^4+10*x^2-2*x+1)/(x-1)^5 ogf] A304579 8.15139 [-(-3*x^4-12*x^3-30*x^2-12*x-3)/(-3*x^5+3*x^4-10*x^3+12*x^2-3*x+1) lgdogf] A304579 9.35557 [-2*(3*x^4+10*x^2-2*x+1)/(x-1)^5 ogf] A304580 5.87007 [-(6*x^9+3*x^8-2*x^7+2*x^6-2*x^5+2*x^4-2*x^3+2*x^2+8*x+1)/(x-1)/(x+1)/(x^8+1) ogf] A304580 6.20689 [-(6*x^9+3*x^8-2*x^7+2*x^6-2*x^5+2*x^4-2*x^3+2*x^2+8*x+1)/(x-1)/(x+1)/(x^8+1) ogf] A304583 4.70335 [-(8*x^9+11*x^8+9*x^7+11*x^6+9*x^5+11*x^4+9*x^3+11*x^2+9*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1) ogf] A304583 6.20689 [-(8*x^9+11*x^8+9*x^7+11*x^6+9*x^5+11*x^4+9*x^3+11*x^2+9*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^6+x^3+1) ogf] A304599 4.80068 [(12*x^9+14*x^8+28*x^7+13*x^6-22*x^5-24*x^4-16*x^3+x+4)/(6*x^7+7*x^6+2*x^5-2*x^4-4*x^3-2*x^2-x+1) ogf] A304599 4.93402 [(12*x^9+14*x^8+28*x^7+13*x^6-22*x^5-24*x^4-16*x^3+x+4)/(6*x^7+7*x^6+2*x^5-2*x^4-4*x^3-2*x^2-x+1) ogf] A304605 10.6793 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=122,a(1)=218} ogf] A304605 11.9275 [-(-148*x^2+244*x-109)/(-148*x^3+344*x^2-257*x+61) lgdogf] A304605 18.0082 [-2*(74*x-61)/(2*x-1)/(x-1) ogf] A304605 18.7433 [-2*(74*x-61)/(2*x-1)/(x-1) ogf] A304605 9.37163 [-(83*f(x)+13636)*(2*f(x)*x^2-3*f(x)*x+f(x)+148*x-122) ogf] A304606 11.0309 [-(-82*x^2+136*x-61)/(-82*x^3+191*x^2-143*x+34) lgdogf] A304606 16.0056 [-4*(41*x-34)/(2*x-1)/(x-1) ogf] A304606 16.6589 [-4*(41*x-34)/(2*x-1)/(x-1) ogf] A304606 8.41533 [-(47*f(x)+8492)*(2*f(x)*x^2-3*f(x)*x+f(x)+164*x-136) ogf] A304606 9.49172 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=136,a(1)=244} ogf] A304607 10.185 [-(31*f(x)+27104)*(2*f(x)*x^2-3*f(x)*x+f(x)+784*x-644) ogf] A304607 11.4728 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=644,a(1)=1148} ogf] A304607 13.8630 [-(-56*x^2+92*x-41)/(-56*x^3+130*x^2-97*x+23) lgdogf] A304607 19.1948 [-28*(28*x-23)/(2*x-1)/(x-1) ogf] A304607 20.3701 [-28*(28*x-23)/(2*x-1)/(x-1) ogf] A304608 10.8151 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=754,a(1)=1330} ogf] A304608 11.6162 [-(-932*x^2+1508*x-665)/(-932*x^3+2152*x^2-1597*x+377) lgdogf] A304608 17.7531 [-2*(466*x-377)/(2*x-1)/(x-1) ogf] A304608 19.2023 [-2*(466*x-377)/(2*x-1)/(x-1) ogf] A304608 9.40912 [-(487*f(x)+517252)*(2*f(x)*x^2-3*f(x)*x+f(x)+932*x-754) ogf] A304609 13.2526 [-(10*x+104)/(10*x^2+37*x-47) lgdogf] A304609 15.2264 [2*(10*x+47)/(x-1)^2 ogf] A304609 18.3498 [2*(10*x+47)/(x-1)^2 ogf] A304609 7.8642 [(57*f(x)+5458)*(f(x)*x^2-2*f(x)*x+f(x)-20*x-94) ogf] A304609 8.41933 [{-a(n+2)+2*a(n+1)-a(n),a(0)=94,a(1)=208} ogf] A304610 13.2129 [-(40*x+274)/(40*x^2+77*x-117) lgdogf] A304610 15.1398 [(40*x+117)/(x-1)^2 ogf] A304610 20.1864 [(40*x+117)/(x-1)^2 ogf] A304610 7.73095 [(157*f(x)+19169)*(f(x)*x^2-2*f(x)*x+f(x)-40*x-117) ogf] A304610 8.45010 [{-a(n+2)+2*a(n+1)-a(n),a(0)=117,a(1)=274} ogf] A304611 10.2795 [(155*f(x)+18857)*(f(x)*x^2-2*f(x)*x+f(x)-38*x-117) ogf] A304611 11.2357 [{-a(n+2)+2*a(n+1)-a(n),a(0)=117,a(1)=272} ogf] A304611 17.5685 [-(38*x+272)/(38*x^2+79*x-117) lgdogf] A304611 20.1306 [(38*x+117)/(x-1)^2 ogf] A304611 26.8408 [(38*x+117)/(x-1)^2 ogf] A304612 10.0121 [(47*f(x)+1397)*(2*f(x)*x^2-3*f(x)*x+f(x)-x-37) ogf] A304612 10.6011 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=37,a(1)=112} ogf] A304612 12.5152 [-(2*x^2+148*x-112)/(2*x^3+71*x^2-110*x+37) lgdogf] A304612 19.5889 [(x+37)/(2*x-1)/(x-1) ogf] A304612 19.5890 [(x+37)/(2*x-1)/(x-1) ogf] A304613 11.6824 [-(2*x^2+56*x-43)/(2*x^3+25*x^2-41*x+14) lgdogf] A304613 16.1217 [3*(x+14)/(2*x-1)/(x-1) ogf] A304613 17.5236 [3*(x+14)/(2*x-1)/(x-1) ogf] A304613 8.95649 [(73*f(x)+2481)*(2*f(x)*x^2-3*f(x)*x+f(x)-3*x-42) ogf] A304613 9.48334 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=42,a(1)=129} ogf] A304614 11.6195 [-(8*x^2+132*x-103)/(8*x^3+54*x^2-95*x+33) lgdogf] A304614 16.4997 [6*(4*x+33)/(2*x-1)/(x-1) ogf] A304614 17.1872 [6*(4*x+33)/(2*x-1)/(x-1) ogf] A304614 8.96726 [(59*f(x)+9536)*(2*f(x)*x^2-3*f(x)*x+f(x)-24*x-198) ogf] A304614 9.59288 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=198,a(1)=618} ogf] A304615 10.2827 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=234,a(1)=741} ogf] A304615 13.1987 [-(2*x^2+24*x-19)/(2*x^3+9*x^2-17*x+6) lgdogf] A304615 17.6862 [39*(x+6)/(2*x-1)/(x-1) ogf] A304615 18.4232 [39*(x+6)/(2*x-1)/(x-1) ogf] A304615 9.61208 [(11*f(x)+2119)*(2*f(x)*x^2-3*f(x)*x+f(x)-39*x-234) ogf] A304616 12.7015 [-(-29*x^2-46*x-6)/(-29*x^3+35*x^2-10*x+4) lgdogf] A304616 13.4831 [-6*(29*x^2-6*x+4)/(x-1)^3 ogf] A304616 19.0522 [-6*(29*x^2-6*x+4)/(x-1)^3 ogf] A304616 6.6901 [-(534357*f(x)-26805178)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+174*x^2-f(x)-36*x+24) ogf] A304616 7.55520 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=36,a(2)=210} ogf] A304617 12.5914 [-(-107*x^2-378*x-163)/(-107*x^3+25*x^2+55*x+27) lgdogf] A304617 14.3084 [-3*(107*x^2+82*x+27)/(x-1)^3 ogf] A304617 19.2725 [-3*(107*x^2+82*x+27)/(x-1)^3 ogf] A304617 7.26426 [(4575933*f(x)-927994063)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+321*x^2-f(x)+246*x+81) ogf] A304617 8.00299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=81,a(1)=489,a(2)=1545} ogf] A304618 12.5531 [-(-x^2+42*x+67)/(-x^3+23*x^2-7*x-15) lgdogf] A304618 13.3376 [6*(x^2-22*x-15)/(x-1)^3 ogf] A304618 18.1619 [6*(x^2-22*x-15)/(x-1)^3 ogf] A304618 6.88395 [(62127*f(x)-9315832)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-6*x^2-f(x)+132*x+90) ogf] A304618 7.29580 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=90,a(1)=402,a(2)=930} ogf] A304619 13.3800 [-(-x^2+82*x+81)/(-x^3+43*x^2-29*x-13) lgdogf] A304619 13.9881 [12*(x^2-42*x-13)/(x-1)^3 ogf] A304619 19.2337 [12*(x^2-42*x-13)/(x-1)^3 ogf] A304619 7.10167 [(1090584*f(x)-452540059)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-12*x^2-f(x)+504*x+156) ogf] A304619 7.75813 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=156,a(1)=972,a(2)=2436} ogf] A304630 15.8562 [(x^3-x-2)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A304630 19.6399 [-(x^3-x-2)/(-x^3+1) ogf_with_Euler_transform] A304631 11.7513 [(x^4-x^2+x-2)/(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A304631 15.8094 [-(x^4-x^2+x-2)/(-x^4+1) ogf_with_Euler_transform] A304632 17.6216 [-(x^6-x^4-2)/(-x^6+1) ogf_with_Euler_transform] A304632 9.66971 [(x^6-x^4-2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A304659 13.1951 [x*(11*x+5)/(x-1)^4 ogf] A304659 17.0760 [-(-33*x-31)/(-11*x^2+6*x+5) lgdogf] A304659 22.9178 [x*(11*x+5)/(x-1)^4 ogf] A304659 5.65505 [{(-10-5*n)*a(n+3)+(25-6*n)*a(n+2)+(33+11*n)*a(n+1),a(0)=0,a(1)=5,a(2)=31} ogf] A304659 6.09005 [(462110720*f(x)+2946150733)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-11*x^2+f(x)-5*x) ogf] A304664 3.56146 [-(x^11+2*x^10+x^9+4*x^8+4*x^7+9*x^6+x^5-5*x^3-4*x^2-6*x-3)/(x-1)/(x^2+x+1)/(x^9+2*x^8+3*x^6+2*x^5+x^4+3*x^3+x-1) ogf] A304664 4.22509 [-(x^11+2*x^10+x^9+4*x^8+4*x^7+9*x^6+x^5-5*x^3-4*x^2-6*x-3)/(x-1)/(x^2+x+1)/(x^9+2*x^8+3*x^6+2*x^5+x^4+3*x^3+x-1) ogf] A304723 13.0266 [-75*f(x)*x^2+20*f(x)*x-f(x)+x ogf] A304723 14.9928 [-(150*x-20)/(75*x^2-20*x+1) lgdogf] A304723 20.9111 [x/(15*x-1)/(5*x-1) ogf] A304723 22.7034 [x/(15*x-1)/(5*x-1) ogf] A304723 9.57373 [{a(n+2)-20*a(n+1)+75*a(n),a(0)=0,a(1)=1} ogf] A304725 13.9089 [(x^4-7*x^3+21*x^2-37*x-2)/(x-1)^5 ogf] A304725 7.89063 [-(-x^4+10*x^3-42*x^2+106*x+47)/(-x^5+8*x^4-28*x^3+58*x^2-35*x-2) lgdogf] A304725 8.46006 [(x^4-7*x^3+21*x^2-37*x-2)/(x-1)^5 ogf] A304726 13.2789 [-(8*x^4-5*x^3+25*x^2-7*x+3)/(x-1)^5 ogf] A304726 7.99311 [-(-8*x^4-22*x^3-60*x^2-22*x-8)/(-8*x^5+13*x^4-30*x^3+32*x^2-10*x+3) lgdogf] A304726 8.57594 [-(8*x^4-5*x^3+25*x^2-7*x+3)/(x-1)^5 ogf] A304770 5.83665 [-(x^7-9*x^6+22*x^5+26*x^4-7*x^3-2*x^2-17*x-4)/(x^5-2*x^4-3*x^3-x^2-x+1) ogf] A304770 5.83665 [-(x^7-9*x^6+22*x^5+26*x^4-7*x^3-2*x^2-17*x-4)/(x^5-2*x^4-3*x^3-x^2-x+1) ogf] A304788 14.2839 [exp(2*x)/x*BesselI(1,2*x) lgdegf] A304809 12.0801 [(4*x^3+7*x^2+8*x+2)/(x^2+x+1)/(x-1)^2 ogf] A304809 12.0801 [(4*x^3+7*x^2+8*x+2)/(x^2+x+1)/(x-1)^2 ogf] A304809 4.81806 [{(-21*n-71)*a(n+1)-21*a(n+2)-21*a(n+3)+(21*n+50)*a(n+4),a(0)=2,a(1)=10,a(2)=17,a(3)=23} ogf] A304809 6.51192 [(93429*f(x)+169907)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-7*x^2+f(x)-8*x-2) ogf] A304825 13.7720 [-(-x^4+x^3-x^2+x+1)/(x-1) ogf_with_Euler_transform] A304825 14.8259 [(x^4-x^3+x^2-x-1)/(x-1) ogf_with_Euler_transform] A304826 12.0313 [-(7*x^2+14*x-9)/(7*x^3-x^2-7*x+1) lgdogf] A304826 15.9599 [8*(x+1)/(7*x-1)/(x-1) ogf] A304826 17.3785 [8*(x+1)/(7*x-1)/(x-1) ogf] A304826 8.98889 [(29*f(x)+92)*(7*f(x)*x^2-8*f(x)*x+f(x)-8*x-8) ogf] A304826 9.42208 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=8,a(1)=72} ogf] A304827 11.3927 [-(35*x^2+42*x-29)/(35*x^3-19*x^2-19*x+3) lgdogf] A304827 16.2753 [4*(5*x+3)/(7*x-1)/(x-1) ogf] A304827 16.9678 [4*(5*x+3)/(7*x-1)/(x-1) ogf] A304827 8.86099 [(95*f(x)+542)*(7*f(x)*x^2-8*f(x)*x+f(x)-20*x-12) ogf] A304827 9.38221 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=12,a(1)=116} ogf] A304828 10.4501 [-(161*x^2+126*x-95)/(161*x^3-121*x^2-49*x+9) lgdogf] A304828 15.4662 [8*(23*x+9)/(7*x-1)/(x-1) ogf] A304828 16.1106 [8*(23*x+9)/(7*x-1)/(x-1) ogf] A304828 8.22669 [(317*f(x)+13276)*(7*f(x)*x^2-8*f(x)*x+f(x)-184*x-72) ogf] A304828 9.09774 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=72,a(1)=760} ogf] A304829 13.3066 [-8*(93*x-157)/(7*x-1)/(x-1) ogf] A304829 13.8389 [-8*(93*x-157)/(7*x-1)/(x-1) ogf] A304829 7.06064 [(3553*f(x)+947708)*(7*f(x)*x^2-8*f(x)*x+f(x)+744*x-1256) ogf] A304829 7.86299 [{-a(n+2)+8*a(n+1)-7*a(n),a(0)=1256,a(1)=9304} ogf] A304829 8.43833 [-(-651*x^2+2198*x-1163)/(-651*x^3+1843*x^2-1349*x+157) lgdogf] A304830 10.5444 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=96,a(1)=300} ogf] A304830 13.1805 [-(2*x^2+32*x-25)/(2*x^3+13*x^2-23*x+8) lgdogf] A304830 17.9254 [12*(x+8)/(2*x-1)/(x-1) ogf] A304830 19.0696 [12*(x+8)/(2*x-1)/(x-1) ogf] A304830 9.84913 [(43*f(x)+3372)*(2*f(x)*x^2-3*f(x)*x+f(x)-12*x-96) ogf] A304831 10.2129 [(209*f(x)+19284)*(2*f(x)*x^2-3*f(x)*x+f(x)-24*x-111) ogf] A304831 11.1629 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=111,a(1)=357} ogf] A304831 12.9731 [-(16*x^2+148*x-119)/(16*x^3+50*x^2-103*x+37) lgdogf] A304831 19.2002 [3*(8*x+37)/(2*x-1)/(x-1) ogf] A304831 20.0002 [3*(8*x+37)/(2*x-1)/(x-1) ogf] A304832 14.6654 [-(-4*x^2-18*x+25)/(-4*x^3-x^2+15*x-10) lgdogf] A304832 15.8293 [2*(4*x^2+5*x-10)/(x-1)^3 ogf] A304832 21.6793 [2*(4*x^2+5*x-10)/(x-1)^3 ogf] A304832 8.31038 [(359*f(x)-676156)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)-10*x+20) ogf] A304832 8.67170 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=20,a(1)=50,a(2)=82} ogf] A304833 14.7761 [-(-35*x^2-12*x+65)/(-35*x^3+64*x^2-17*x-12) lgdogf] A304833 16.3922 [(35*x^2-29*x-12)/(x-1)^3 ogf] A304833 23.8432 [(35*x^2-29*x-12)/(x-1)^3 ogf] A304833 8.26065 [(347868*f(x)-425629175)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-35*x^2-f(x)+29*x+12) ogf] A304833 9.04397 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=65,a(2)=124} ogf] A304834 13.8474 [-(-x^2+46*x+63)/(-x^3+25*x^2-11*x-13) lgdogf] A304834 15.1662 [2*(x^2-24*x-13)/(x-1)^3 ogf] A304834 20.3292 [2*(x^2-24*x-13)/(x-1)^3 ogf] A304834 7.64378 [(357453*f(x)-17452426)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-2*x^2-f(x)+48*x+26) ogf] A304834 8.16643 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=26,a(1)=126,a(2)=298} ogf] A304835 13.9063 [-(5*x^2+96*x+61)/(5*x^3+38*x^2-37*x-6) lgdogf] A304835 14.5482 [-4*(5*x^2+43*x+6)/(x-1)^3 ogf] A304835 20.5572 [-4*(5*x^2+43*x+6)/(x-1)^3 ogf] A304835 7.21855 [(21181095*f(x)-2379376297)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+172*x+24) ogf] A304835 8.08232 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=244,a(2)=680} ogf] A304836 15.6138 [-6*x*(4*x+5)/(x-1)^3 ogf] A304836 18.8002 [-(8*x+19)/(4*x^2+x-5) lgdogf] A304836 22.4686 [-6*x*(4*x+5)/(x-1)^3 ogf] A304836 7.87361 [(6723*f(x)-128954)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)+30*x) ogf] A304836 8.08081 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=30,a(2)=114} ogf] A304837 16.6664 [-12*x*(52*x+29)/(x-1)^3 ogf] A304837 18.4845 [-(-104*x-139)/(-52*x^2+23*x+29) lgdogf] A304837 23.1056 [-12*x*(52*x+29)/(x-1)^3 ogf] A304837 7.94255 [(34556787*f(x)-10839796660)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+624*x^2-f(x)+348*x) ogf] A304837 8.76422 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=348,a(2)=1668} ogf] A304838 10.7599 [-(-523*x^2-1274*x-147)/(-523*x^3+409*x^2+103*x+11) lgdogf] A304838 12.5265 [-6*(523*x^2+114*x+11)/(x-1)^3 ogf] A304838 16.7855 [-6*(523*x^2+114*x+11)/(x-1)^3 ogf] A304838 6.17113 [-(4612383*f(x)-5642680628)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3138*x^2-f(x)+684*x+66) ogf] A304838 7.11249 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=66,a(1)=882,a(2)=5586} ogf] A304839 10.0595 [(61*f(x)+2125)*(f(x)*x^2-2*f(x)*x+f(x)-38*x-23) ogf] A304839 10.8978 [{-a(n+2)+2*a(n+1)-a(n),a(0)=23,a(1)=84} ogf] A304839 17.2719 [-(-38*x-84)/(-38*x^2+15*x+23) lgdogf] A304839 19.4769 [(38*x+23)/(x-1)^2 ogf] A304839 26.1547 [(38*x+23)/(x-1)^2 ogf] A304840 10.1278 [(26*f(x)+1301)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-50) ogf] A304840 10.7235 [{-a(n+2)+2*a(n+1)-a(n),a(0)=50,a(1)=102} ogf] A304840 17.8726 [-(x+51)/(x^2+24*x-25) lgdogf] A304840 19.8152 [2*(x+25)/(x-1)^2 ogf] A304840 23.9869 [2*(x+25)/(x-1)^2 ogf] A304841 10.1885 [(67*f(x)+3869)*(f(x)*x^2-2*f(x)*x+f(x)-10*x-57) ogf] A304841 10.9076 [{-a(n+2)+2*a(n+1)-a(n),a(0)=57,a(1)=124} ogf] A304841 17.1694 [-(10*x+124)/(10*x^2+47*x-57) lgdogf] A304841 19.7266 [(10*x+57)/(x-1)^2 ogf] A304841 26.49 [(10*x+57)/(x-1)^2 ogf] A304868 4.31642 [(2*x^11+x^10+3*x^9+x^8+4*x^7+4*x^6+3*x^5+x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A304868 6.30134 [(2*x^11+x^10+3*x^9+x^8+4*x^7+4*x^6+3*x^5+x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A304883 17.2584 [-(x^4+x+1)/(x^6-1) ogf_with_Euler_transform] A304883 8.7583 [-(x^4+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A304885 15.9495 [-(x^4+x^3+1)/(x^6-1) ogf_with_Euler_transform] A304885 8.40634 [-(x^4+x^3+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A304915 17.6872 [-2/(16*x-1)/(16*x+1) lgdogf] A304915 21.8489 [2/(-256*x^2+1) lgdogf] A304915 6.87836 [{(n+2)*a(n+2)-2*a(n+1)-256*n*a(n),a(0)=1,a(1)=2} ogf] A304921 4.99289 [-(8*x^8-12*x^7-13*x^6+6*x^5+16*x^4+10*x^3-2*x^2-x-4)/(6*x^7+7*x^6+2*x^5-2*x^4-4*x^3-2*x^2-x+1) ogf] A304921 4.99290 [-(8*x^8-12*x^7-13*x^6+6*x^5+16*x^4+10*x^3-2*x^2-x-4)/(6*x^7+7*x^6+2*x^5-2*x^4-4*x^3-2*x^2-x+1) ogf] A304933 13.7701 [-2*(16*x+1)/(4*x-1)/(4*x+1) lgdogf] A304933 15.8655 [-(-32*x-2)/(-16*x^2+1) lgdogf] A304933 5.40603 [{(-2-n)*a(n+3)+2*a(n+2)+(32+16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A304934 13.0057 [-2*(64*x+1)/(8*x-1)/(8*x+1) lgdogf] A304934 14.6660 [-(-128*x-2)/(-64*x^2+1) lgdogf] A304934 5.06840 [{(-2-n)*a(n+3)+2*a(n+2)+(128+64*n)*a(n+1),a(0)=0,a(1)=1,a(2)=2} ogf] A304940 14.8277 [-4*f(x)^2*x+f(x)^2-4*x-1 ogf] A304940 22.0168 [4/(-16*x^2+1) lgdogf] A304940 6.79024 [{(n+2)*a(n+2)-4*a(n+1)-16*n*a(n),a(0)=1,a(1)=4} ogf] A304941 19.1413 [-6/(4*x-1)/(4*x+1) lgdogf] A304941 23.2016 [6/(-16*x^2+1) lgdogf] A304941 7.15564 [{(n+2)*a(n+2)-6*a(n+1)-16*n*a(n),a(0)=1,a(1)=6} ogf] A304944 13.5436 [-2*(16*x+3)/(4*x-1)/(4*x+1) lgdogf] A304944 15.6046 [-(-32*x-6)/(-16*x^2+1) lgdogf] A304944 5.31711 [{(-2-n)*a(n+3)+6*a(n+2)+(32+16*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A304960 13.5451 [-12*(9*x-1)/(18*x-1)/(5*x-1) ogf] A304960 13.8160 [-12*(9*x-1)/(18*x-1)/(5*x-1) ogf] A304960 6.90799 [-(4523*f(x)+3348)*(90*f(x)*x^2-23*f(x)*x+f(x)+108*x-12) ogf] A304960 7.94021 [{a(n+2)-23*a(n+1)+90*a(n),a(0)=12,a(1)=168} ogf] A304962 13.3818 [-(2*x^2+x-2)/(4*x^3-2*x^2-2*x+1) ogf_with_Euler_transform] A304962 13.5108 [-(2*x^2+x-2)/(2*x-1)/(2*x^2-1) ogf_with_Euler_transform] A304973 10.4314 [-f(x)*(6*f(x)*x^4-2*x^4-5*f(x)*x^2-x^3+f(x)) ogf] A304973 16.2876 [x^3*(2*x+1)/(3*x^2-1)/(2*x^2-1) ogf] A304974 11.85 [-x^4*(x+1)/(x-1)/(2*x+1)/(2*x-1)/(3*x^2-1) ogf] A304975 8.83815 [-x^5*(2*x^2-2*x-1)/(x-1)/(2*x+1)/(2*x-1)/(2*x^2-1)/(5*x^2-1) ogf] A304976 6.8116 [x^6*(4*x^3+x^2-2*x-1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A304993 13.4484 [x*(3*x+4)/(x-1)^4 ogf] A304993 17.8398 [-(9*x+19)/(3*x^2+x-4) lgdogf] A304993 23.6256 [x*(3*x+4)/(x-1)^4 ogf] A304993 5.78906 [{(8+4*n)*a(n+3)+(-20-n)*a(n+2)+(-9-3*n)*a(n+1),a(0)=0,a(1)=4,a(2)=19} ogf] A304993 6.38064 [(1061585*f(x)+3209949)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-4*x) ogf] A304995 10.6611 [-(6*x^5+x^4+6*x^3+6*x^2+6*x+1)/(x-1)/(x^4+1) ogf] A305002 10.3464 [-(10*x^5+7*x^4+50*x^3+30*x^2+20*x+1)/(x-1)/(x^4+1) ogf] A305029 19.5963 [x^9-2*x^4-x+2 ogf_with_Euler_transform] A305029 4.47269 [(f(x)-1)*(f(x)*x^4-f(x)*x^3-x^4+f(x)*x^2-x^3-f(x)*x-x^2+f(x)-x-1) ogf] A305029 7.62988 [(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A305029 8.00667 [(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A305031 20.2746 [-6/(2*x-1)/(2*x+1) lgdogf] A305031 25.3432 [6/(-4*x^2+1) lgdogf] A305031 7.65078 [{(n+2)*a(n+2)-6*a(n+1)-4*n*a(n),a(0)=1,a(1)=6} ogf] A305031 7.87361 [-8*f(x)^2*x^3+12*f(x)^2*x^2-6*f(x)^2*x-8*x^3+f(x)^2-12*x^2-6*x-1 ogf] A305032 15.2548 [-2*(4*x+3)/(2*x-1)/(2*x+1) lgdogf] A305032 18.0285 [-(8*x+6)/(4*x^2-1) lgdogf] A305032 5.96430 [{(n+2)*a(n+3)-6*a(n+2)+(-8-4*n)*a(n+1),a(0)=0,a(1)=1,a(2)=6} ogf] A305035 10.8544 [(4*x^5+8*x^3-4*x^2+x-4)/(2*x^3+x-1) ogf] A305035 11.5224 [(4*x^5+8*x^3-4*x^2+x-4)/(2*x^3+x-1) ogf] A305036 4.82170 [(8*x^10+4*x^9+8*x^8+37*x^7+12*x^6-5*x^5-26*x^4-28*x^3+2*x^2-3*x+8)/(4*x^7+4*x^6-x^4-5*x^3-x+1) ogf] A305036 4.95752 [(8*x^10+4*x^9+8*x^8+37*x^7+12*x^6-5*x^5-26*x^4-28*x^3+2*x^2-3*x+8)/(4*x^7+4*x^6-x^4-5*x^3-x+1) ogf] A305037 4.58387 [(28*x^10+46*x^9+61*x^8+136*x^7+174*x^6-67*x^5-87*x^4-131*x^3+5*x^2-8*x+16)/(4*x^7+14*x^6-2*x^4-9*x^3-x+1) ogf] A305037 4.70529 [(28*x^10+46*x^9+61*x^8+136*x^7+174*x^6-67*x^5-87*x^4-131*x^3+5*x^2-8*x+16)/(4*x^7+14*x^6-2*x^4-9*x^3-x+1) ogf] A305043 3.92124 [(6*x^12+6*x^11+7*x^10-22*x^9-44*x^8-2*x^7-2*x^6+93*x^5-35*x^4+6*x^3-28*x^2+10*x+1)/(x-1)/(x^2+x-1)/(3*x^6+3*x^4-5*x^3-x+1) ogf] A305043 4.02664 [(6*x^12+6*x^11+7*x^10-22*x^9-44*x^8-2*x^7-2*x^6+93*x^5-35*x^4+6*x^3-28*x^2+10*x+1)/(x-1)/(x^2+x-1)/(3*x^6+3*x^4-5*x^3-x+1) ogf] A305060 10.5148 [-(13*f(x)+694)*(2*f(x)*x^2-3*f(x)*x+f(x)+38*x-28) ogf] A305060 11.7665 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=28,a(1)=46} ogf] A305060 13.9209 [-(-38*x^2+56*x-23)/(-38*x^3+85*x^2-61*x+14) lgdogf] A305060 19.3801 [-2*(19*x-14)/(2*x-1)/(x-1) ogf] A305060 21.0295 [-2*(19*x-14)/(2*x-1)/(x-1) ogf] A305061 11.2508 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=34,a(1)=54} ogf] A305061 13.1259 [-(-48*x^2+68*x-27)/(-48*x^3+106*x^2-75*x+17) lgdogf] A305061 18.5307 [-2*(24*x-17)/(2*x-1)/(x-1) ogf] A305061 20.1077 [-2*(24*x-17)/(2*x-1)/(x-1) ogf] A305061 9.94805 [-(13*f(x)+1016)*(2*f(x)*x^2-3*f(x)*x+f(x)+48*x-34) ogf] A305062 11.2956 [-(7*f(x)+3392)*(2*f(x)*x^2-3*f(x)*x+f(x)+256*x-176) ogf] A305062 12.6091 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=176,a(1)=272} ogf] A305062 15.2730 [-(-32*x^2+44*x-17)/(-32*x^3+70*x^2-49*x+11) lgdogf] A305062 20.8535 [-16*(16*x-11)/(2*x-1)/(x-1) ogf] A305062 22.1302 [-16*(16*x-11)/(2*x-1)/(x-1) ogf] A305063 10.7196 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=228,a(1)=338} ogf] A305063 11.8191 [-(-346*x^2+456*x-169)/(-346*x^3+747*x^2-515*x+114) lgdogf] A305063 17.3941 [-2*(173*x-114)/(2*x-1)/(x-1) ogf] A305063 18.8140 [-2*(173*x-114)/(2*x-1)/(x-1) ogf] A305063 9.407 [-(51*f(x)+45494)*(2*f(x)*x^2-3*f(x)*x+f(x)+346*x-228) ogf] A305064 10.429 [(9427*f(x)+316894)*(2*f(x)*x^2-3*f(x)*x+f(x)+2*x-22) ogf] A305064 11.6706 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=22,a(1)=64} ogf] A305064 14.2077 [-(-2*x^2+44*x-32)/(-2*x^3+25*x^2-34*x+11) lgdogf] A305064 19.6066 [-2*(x-11)/(2*x-1)/(x-1) ogf] A305064 21.3115 [-2*(x-11)/(2*x-1)/(x-1) ogf] A305065 11.1139 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=24,a(1)=72} ogf] A305065 15.5595 [-2*f(x)*x^2+3*f(x)*x-f(x)+24 ogf] A305065 19.4493 [-(4*x-3)/(2*x^2-3*x+1) lgdogf] A305065 24.5676 [24/(2*x-1)/(x-1) ogf] A305065 27.4579 [24/(2*x-1)/(x-1) ogf] A305066 10.4617 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=114,a(1)=348} ogf] A305066 13.0392 [-(2*x^2+76*x-58)/(2*x^3+35*x^2-56*x+19) lgdogf] A305066 17.9941 [6*(x+19)/(2*x-1)/(x-1) ogf] A305066 19.1427 [6*(x+19)/(2*x-1)/(x-1) ogf] A305066 9.88686 [(49*f(x)+4506)*(2*f(x)*x^2-3*f(x)*x+f(x)-6*x-114) ogf] A305067 12.3725 [-(6*x^2+88*x-69)/(6*x^3+35*x^2-63*x+22) lgdogf] A305067 17.074 [6*(3*x+22)/(2*x-1)/(x-1) ogf] A305067 17.7854 [6*(3*x+22)/(2*x-1)/(x-1) ogf] A305067 9.08192 [(119*f(x)+12858)*(2*f(x)*x^2-3*f(x)*x+f(x)-18*x-132) ogf] A305067 9.92676 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=132,a(1)=414} ogf] A305068 10.0165 [(13*f(x)+1407)*(f(x)*x^2-2*f(x)*x+f(x)-18*x-36) ogf] A305068 10.8512 [{-a(n+2)+2*a(n+1)-a(n),a(0)=36,a(1)=90} ogf] A305068 18.9896 [-(x+5)/(x^2+x-2) lgdogf] A305068 19.3936 [18*(x+2)/(x-1)^2 ogf] A305068 23.9869 [18*(x+2)/(x-1)^2 ogf] A305069 10.0065 [(3185*f(x)+801459)*(f(x)*x^2-2*f(x)*x+f(x)-72*x-45) ogf] A305069 11.1838 [{-a(n+2)+2*a(n+1)-a(n),a(0)=45,a(1)=162} ogf] A305069 19.4004 [-(-8*x-18)/(-8*x^2+3*x+5) lgdogf] A305069 20.2260 [9*(8*x+5)/(x-1)^2 ogf] A305069 25.6925 [9*(8*x+5)/(x-1)^2 ogf] A305070 17.4603 [-108*(4*x+3)/(x-1)^3 ogf] A305070 20.3110 [-(8*x+13)/(4*x^2-x-3) lgdogf] A305070 25.5189 [-108*(4*x+3)/(x-1)^3 ogf] A305070 8.29364 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=324,a(1)=1404,a(2)=3240} ogf] A305070 8.43421 [(33565*f(x)-16691508)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+432*x+324) ogf] A305071 17.6176 [-54*(23*x+13)/(x-1)^3 ogf] A305071 19.2796 [-(-46*x-62)/(-23*x^2+10*x+13) lgdogf] A305071 25.5455 [-54*(23*x+13)/(x-1)^3 ogf] A305071 8.44479 [(413064*f(x)-514481173)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+1242*x+702) ogf] A305071 8.51517 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=702,a(1)=3348,a(2)=7938} ogf] A305072 17.6842 [-24*(7*x+5)/(x-1)^3 ogf] A305072 20.1600 [-(14*x+22)/(7*x^2-2*x-5) lgdogf] A305072 26.5264 [-24*(7*x+5)/(x-1)^3 ogf] A305072 8.47059 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=120,a(1)=528,a(2)=1224} ogf] A305072 8.76523 [(1710*f(x)-322331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+168*x+120) ogf] A305073 17.7704 [-192*(2*x+1)/(x-1)^3 ogf] A305073 21.1023 [-(-4*x-5)/(-2*x^2+x+1) lgdogf] A305073 25.972 [-192*(2*x+1)/(x-1)^3 ogf] A305073 8.51185 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=192,a(1)=960,a(2)=2304} ogf] A305073 8.88516 [(351*f(x)-128320)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+384*x+192) ogf] A305074 12.1028 [-f(x)*x^2+2*f(x)*x-f(x)+8*x+12 ogf] A305074 16.1371 [-(2*x+8)/(2*x^2+x-3) lgdogf] A305074 16.8387 [4*(2*x+3)/(x-1)^2 ogf] A305074 20.9346 [4*(2*x+3)/(x-1)^2 ogf] A305074 9.22119 [{-a(n+2)+2*a(n+1)-a(n),a(0)=12,a(1)=32} ogf] A305075 10.2749 [{-a(n+2)+2*a(n+1)-a(n),a(0)=8,a(1)=40} ogf] A305075 17.7671 [-(-3*x-5)/(-3*x^2+2*x+1) lgdogf] A305075 18.5396 [8*(3*x+1)/(x-1)^2 ogf] A305075 23.0492 [8*(3*x+1)/(x-1)^2 ogf] A305075 9.69115 [(7*f(x)+569)*(f(x)*x^2-2*f(x)*x+f(x)-24*x-8) ogf] A305091 7.43355 [(16*x^5-16*x^4-10*x^3+5*x^2+2*x+1)/(16*x^5-8*x^3-x^2-x+1) ogf] A305091 7.75327 [(16*x^5-16*x^4-10*x^3+5*x^2+2*x+1)/(16*x^5-8*x^3-x^2-x+1) ogf] A305118 6.04703 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*f(x)*x+x^2-f(x)-x+1 ogf] A305118 7.95661 [-1/2*I*((4*x^3-5*x^2+6*x-1)^(1/2)+I*x-I)/x/(x-1) ogf] A305153 11.4607 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=42,a(1)=72} ogf] A305153 13.7528 [-(-18*x^2+28*x-12)/(-18*x^3+41*x^2-30*x+7) lgdogf] A305153 14.8107 [2*f(x)*x^2-3*f(x)*x+f(x)+54*x-42 ogf] A305153 19.6469 [-6*(9*x-7)/(2*x-1)/(x-1) ogf] A305153 20.4829 [-6*(9*x-7)/(2*x-1)/(x-1) ogf] A305154 11.5446 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=45,a(1)=81} ogf] A305154 14.0543 [-(-12*x^2+20*x-9)/(-12*x^3+28*x^2-21*x+5) lgdogf] A305154 14.9192 [2*f(x)*x^2-3*f(x)*x+f(x)+54*x-45 ogf] A305154 19.7908 [-9*(6*x-5)/(2*x-1)/(x-1) ogf] A305154 20.6330 [-9*(6*x-5)/(2*x-1)/(x-1) ogf] A305155 10.7376 [(71*f(x)+758)*(2*f(x)*x^2-3*f(x)*x+f(x)-2*x-13) ogf] A305155 11.3767 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=13,a(1)=41} ogf] A305155 13.8499 [-(4*x^2+52*x-41)/(4*x^3+20*x^2-37*x+13) lgdogf] A305155 20.7749 [(2*x+13)/(2*x-1)/(x-1) ogf] A305155 20.7749 [(2*x+13)/(2*x-1)/(x-1) ogf] A305156 10.0958 [(175*f(x)+8668)*(2*f(x)*x^2-3*f(x)*x+f(x)-20*x-58) ogf] A305156 10.9273 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=58,a(1)=194} ogf] A305156 12.9002 [-(20*x^2+116*x-97)/(20*x^3+28*x^2-77*x+29) lgdogf] A305156 18.2121 [2*(10*x+29)/(2*x-1)/(x-1) ogf] A305156 19.7621 [2*(10*x+29)/(2*x-1)/(x-1) ogf] A305157 10.4232 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=65,a(1)=229} ogf] A305157 11.9726 [-(68*x^2+260*x-229)/(68*x^3+28*x^2-161*x+65) lgdogf] A305157 18.8504 [(34*x+65)/(2*x-1)/(x-1) ogf] A305157 18.8504 [(34*x+65)/(2*x-1)/(x-1) ogf] A305157 9.52655 [(427*f(x)+24686)*(2*f(x)*x^2-3*f(x)*x+f(x)-34*x-65) ogf] A305158 10.3466 [(734*f(x)+15279)*(2*f(x)*x^2-3*f(x)*x+f(x)-9*x-6) ogf] A305158 11.3438 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=6,a(1)=27} ogf] A305158 14.7115 [-(6*x^2+8*x-9)/(6*x^3-5*x^2-3*x+2) lgdogf] A305158 19.2151 [3*(3*x+2)/(2*x-1)/(x-1) ogf] A305158 20.9231 [3*(3*x+2)/(2*x-1)/(x-1) ogf] A305159 10.8050 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=24,a(1)=126} ogf] A305159 13.3104 [-(18*x^2+16*x-21)/(18*x^3-19*x^2-3*x+4) lgdogf] A305159 18.7433 [6*(9*x+4)/(2*x-1)/(x-1) ogf] A305159 19.5409 [6*(9*x+4)/(2*x-1)/(x-1) ogf] A305159 9.66758 [(4286*f(x)+480579)*(2*f(x)*x^2-3*f(x)*x+f(x)-54*x-24) ogf] A305160 10.0582 [(115*f(x)+4443)*(2*f(x)*x^2-3*f(x)*x+f(x)-75*x-24) ogf] A305160 10.8865 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=24,a(1)=147} ogf] A305160 13.4109 [-(50*x^2+32*x-49)/(50*x^3-59*x^2+x+8) lgdogf] A305160 18.507 [3*(25*x+8)/(2*x-1)/(x-1) ogf] A305160 19.6884 [3*(25*x+8)/(2*x-1)/(x-1) ogf] A305163 10.7794 [(11*f(x)+84)*(2*f(x)*x^2-3*f(x)*x+f(x)-12*x-6) ogf] A305163 11.4288 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=6,a(1)=30} ogf] A305163 14.8217 [-(-4*x^2-4*x+5)/(-4*x^3+4*x^2+x-1) lgdogf] A305163 19.359 [6*(2*x+1)/(2*x-1)/(x-1) ogf] A305163 20.6215 [6*(2*x+1)/(2*x-1)/(x-1) ogf] A305164 10.6979 [(39*f(x)+344)*(2*f(x)*x^2-3*f(x)*x+f(x)-16*x-6) ogf] A305164 11.4713 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=6,a(1)=34} ogf] A305164 13.7988 [-(16*x^2+12*x-17)/(16*x^3-18*x^2-x+3) lgdogf] A305164 19.431 [2*(8*x+3)/(2*x-1)/(x-1) ogf] A305164 20.6982 [2*(8*x+3)/(2*x-1)/(x-1) ogf] A305165 10.3055 [(1587*f(x)+281912)*(2*f(x)*x^2-3*f(x)*x+f(x)-88*x-24) ogf] A305165 11.5179 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=24,a(1)=160} ogf] A305165 14.1887 [-(22*x^2+12*x-20)/(22*x^3-27*x^2+2*x+3) lgdogf] A305165 19.5804 [8*(11*x+3)/(2*x-1)/(x-1) ogf] A305165 20.8303 [8*(11*x+3)/(2*x-1)/(x-1) ogf] A305166 10.0991 [(117*f(x)+6028)*(2*f(x)*x^2-3*f(x)*x+f(x)-116*x-24) ogf] A305166 11.0496 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=24,a(1)=188} ogf] A305166 13.4174 [-(58*x^2+24*x-47)/(58*x^3-75*x^2+11*x+6) lgdogf] A305166 18.7843 [4*(29*x+6)/(2*x-1)/(x-1) ogf] A305166 19.5670 [4*(29*x+6)/(2*x-1)/(x-1) ogf] A305167 9.18715 [6*x*(x+1)*(x^4+24*x^3+86*x^2+24*x+1)/(x-1)^8 ogf] A305168 5.02731 [-(2*x^13+3*x^12+x^11+x^10+2*x^9+3*x^8+2*x^5+3*x^4+x^2+3*x+3)/(x-1)/(x+1)/(x^4+1)/(x^8+1) ogf_with_Euler_transform] A305177 4.12097 [(8*x^12-4*x^11-8*x^10+8*x^9-13*x^8-4*x^7-18*x^6-11*x^5+2*x^4+5*x^3+8*x^2+2*x+1)/(4*x^10+2*x^9+8*x^7+x^6-4*x^4-4*x^3+1) ogf] A305177 4.21681 [(8*x^12-4*x^11-8*x^10+8*x^9-13*x^8-4*x^7-18*x^6-11*x^5+2*x^4+5*x^3+8*x^2+2*x+1)/(4*x^10+2*x^9+8*x^7+x^6-4*x^4-4*x^3+1) ogf] A305185 9.90567 [-x*(x^2+1)*(x^4-x^3+2*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A305189 7.92677 [(4*x^7-2*x^6-3*x^5+13*x^4+x^3+3*x^2+x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A305225 4.8171 [-(2*x^8-19*x^7+14*x^6+33*x^5-12*x^4-15*x^3-22*x^2+13*x+4)/(x-1)/(2*x^5+x^4-2*x^3-2*x^2-x+1) ogf] A305225 5.25503 [-(2*x^8-19*x^7+14*x^6+33*x^5-12*x^4-15*x^3-22*x^2+13*x+4)/(x-1)/(2*x^5+x^4-2*x^3-2*x^2-x+1) ogf] A305226 4.62930 [(34*x^8-67*x^7-49*x^6+41*x^5+66*x^4+93*x^3+19*x^2-41*x-8)/(x-1)/(2*x^6-3*x^4-4*x^3-3*x^2+1) ogf] A305226 5.03479 [(34*x^8-67*x^7-49*x^6+41*x^5+66*x^4+93*x^3+19*x^2-41*x-8)/(x-1)/(2*x^6-3*x^4-4*x^3-3*x^2+1) ogf] A305238 4.4437 [-(x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-19)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A305240 3.94856 [(6*x^10-12*x^9-9*x^8+2*x^7-3*x^6+8*x^5+2*x^4+18*x^3+2*x^2-8*x-4)/(x^8-x^7-3*x^6-2*x^5-x^4+2*x^3+2*x^2+x-1) ogf] A305240 4.04486 [(6*x^10-12*x^9-9*x^8+2*x^7-3*x^6+8*x^5+2*x^4+18*x^3+2*x^2-8*x-4)/(x^8-x^7-3*x^6-2*x^5-x^4+2*x^3+2*x^2+x-1) ogf] A305247 3.28391 [-(10*x^11+28*x^10+42*x^9+37*x^8-3*x^7-22*x^6-15*x^5-13*x^4-10*x^3-7*x^2+x+3)/(2*x^12+6*x^11-3*x^9-10*x^8-10*x^7-x^6-4*x^5+x^4+x^2+2*x-1) ogf] A305256 11.7026 [I/(4*x-1)^(1/2)-I/(4*x^2-1)^(1/2)*x ogf_with_Euler_transform] A305261 10.1306 [(29*f(x)+1104)*(2*f(x)*x^2-3*f(x)*x+f(x)-96*x-12) ogf] A305261 10.8457 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=12,a(1)=132} ogf] A305261 13.5572 [-(16*x^2+4*x-11)/(16*x^3-22*x^2+5*x+1) lgdogf] A305261 18.4377 [12*(8*x+1)/(2*x-1)/(x-1) ogf] A305261 19.6146 [12*(8*x+1)/(2*x-1)/(x-1) ogf] A305262 10.2616 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=13,a(1)=153} ogf] A305262 11.6298 [-(228*x^2+52*x-153)/(228*x^3-316*x^2+75*x+13) lgdogf] A305262 18.1715 [(114*x+13)/(2*x-1)/(x-1) ogf] A305262 18.1715 [(114*x+13)/(2*x-1)/(x-1) ogf] A305262 9.27907 [(407*f(x)+18118)*(2*f(x)*x^2-3*f(x)*x+f(x)-114*x-13) ogf] A305263 11.1100 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=58,a(1)=738} ogf] A305263 12.2642 [-(564*x^2+116*x-369)/(564*x^3-788*x^2+195*x+29) lgdogf] A305263 18.1605 [2*(282*x+29)/(2*x-1)/(x-1) ogf] A305263 19.6739 [2*(282*x+29)/(2*x-1)/(x-1) ogf] A305263 9.94049 [(991*f(x)+214844)*(2*f(x)*x^2-3*f(x)*x+f(x)-564*x-58) ogf] A305264 10.5416 [(2443*f(x)+653006)*(2*f(x)*x^2-3*f(x)*x+f(x)-706*x-65) ogf] A305264 11.9059 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=65,a(1)=901} ogf] A305264 12.6500 [-(1412*x^2+260*x-901)/(1412*x^3-1988*x^2+511*x+65) lgdogf] A305264 21.0832 [(706*x+65)/(2*x-1)/(x-1) ogf] A305264 21.0833 [(706*x+65)/(2*x-1)/(x-1) ogf] A305265 10.6274 [(19*f(x)-5104)*(2*f(x)*x^2-3*f(x)*x+f(x)+136*x-74) ogf] A305265 11.6395 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=74,a(1)=86} ogf] A305265 12.8648 [-(-136*x^2+148*x-43)/(-136*x^3+278*x^2-179*x+37) lgdogf] A305265 19.171 [-2*(68*x-37)/(2*x-1)/(x-1) ogf] A305265 20.3692 [-2*(68*x-37)/(2*x-1)/(x-1) ogf] A305266 10.7573 [-(-320*x^2+348*x-101)/(-320*x^3+654*x^2-421*x+87) lgdogf] A305266 15.9291 [-(160*x-87)/(2*x-1)/(x-1) ogf] A305266 17.2565 [-(160*x-87)/(2*x-1)/(x-1) ogf] A305266 8.90657 [(45*f(x)-14116)*(2*f(x)*x^2-3*f(x)*x+f(x)+160*x-87) ogf] A305266 9.74485 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=87,a(1)=101} ogf] A305267 10.4778 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=426,a(1)=494} ogf] A305267 11.2636 [-(-784*x^2+852*x-247)/(-784*x^3+1602*x^2-1031*x+213) lgdogf] A305267 17.0017 [-2*(392*x-213)/(2*x-1)/(x-1) ogf] A305267 18.3896 [-2*(392*x-213)/(2*x-1)/(x-1) ogf] A305267 9.38637 [(111*f(x)-169304)*(2*f(x)*x^2-3*f(x)*x+f(x)+784*x-426) ogf] A305268 10.6390 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=522,a(1)=604} ogf] A305268 11.2957 [-(-962*x^2+1044*x-302)/(-962*x^3+1965*x^2-1264*x+261) lgdogf] A305268 17.2633 [-2*(481*x-261)/(2*x-1)/(x-1) ogf] A305268 18.6726 [-2*(481*x-261)/(2*x-1)/(x-1) ogf] A305268 9.6311 [(69*f(x)-127222)*(2*f(x)*x^2-3*f(x)*x+f(x)+962*x-522) ogf] A305269 10.2212 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=25,a(1)=145} ogf] A305269 12.5913 [-(28*x^2+20*x-29)/(28*x^3-32*x^2-x+5) lgdogf] A305269 17.376 [5*(14*x+5)/(2*x-1)/(x-1) ogf] A305269 18.4851 [5*(14*x+5)/(2*x-1)/(x-1) ogf] A305269 9.54724 [(67*f(x)+2530)*(2*f(x)*x^2-3*f(x)*x+f(x)-70*x-25) ogf] A305270 10.3020 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=28,a(1)=168} ogf] A305270 14.5944 [-(6*x^2+4*x-6)/(6*x^3-7*x^2+1) lgdogf] A305270 17.5133 [28*(3*x+1)/(2*x-1)/(x-1) ogf] A305270 18.6312 [28*(3*x+1)/(2*x-1)/(x-1) ogf] A305270 9.62271 [(23*f(x)+3892)*(2*f(x)*x^2-3*f(x)*x+f(x)-84*x-28) ogf] A305271 10.4013 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=132,a(1)=812} ogf] A305271 11.9269 [-(208*x^2+132*x-203)/(208*x^3-246*x^2+5*x+33) lgdogf] A305271 17.2022 [4*(104*x+33)/(2*x-1)/(x-1) ogf] A305271 18.2554 [4*(104*x+33)/(2*x-1)/(x-1) ogf] A305271 9.31786 [(477*f(x)+101872)*(2*f(x)*x^2-3*f(x)*x+f(x)-416*x-132) ogf] A305272 10.5200 [{-a(n+2)+3*a(n+1)-2*a(n),a(0)=160,a(1)=996} ogf] A305272 12.0629 [-(258*x^2+160*x-249)/(258*x^3-307*x^2+9*x+40) lgdogf] A305272 17.3984 [4*(129*x+40)/(2*x-1)/(x-1) ogf] A305272 18.4637 [4*(129*x+40)/(2*x-1)/(x-1) ogf] A305272 9.42415 [(587*f(x)+154084)*(2*f(x)*x^2-3*f(x)*x+f(x)-516*x-160) ogf] A305290 10.0085 [x*(7*x^2-10*x+7)/(x-1)/(x+1)^4 ogf] A305290 10.5218 [-(21*x^3-61*x^2+79*x-31)/(7*x^4-10*x^3+10*x-7) lgdogf] A305290 14.15 [x*(7*x^2-10*x+7)/(x-1)/(x+1)^4 ogf] A305291 11.7773 [(x^4-3*x^3+16*x^2-3*x+1)/(x-1)/(x+1)^4 ogf] A305291 7.56342 [-(-x^5+9*x^4-61*x^3+69*x^2-46*x+6)/(-x^6+3*x^5-15*x^4+15*x^2-3*x+1) lgdogf] A305291 8.77035 [(x^4-3*x^3+16*x^2-3*x+1)/(x-1)/(x+1)^4 ogf] A305292 7.23337 [-(2*x^4+3*x^3-8*x^2+3*x+2)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A305292 7.69020 [-(2*x^4+3*x^3-8*x^2+3*x+2)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A305315 19.2284 [(11*x+1)/(x^2-18*x+1) ogf] A305315 9.08596 [(520*f(x)+321)*(f(x)*x^2-18*f(x)*x+f(x)-11*x-1) ogf] A305316 10.6227 [(3560*f(x)+441)*(f(x)*x^2-18*f(x)*x+f(x)-x-11) ogf] A305316 22.7277 [(x+11)/(x^2-18*x+1) ogf] A305335 5.01046 [(16*x^7+24*x^6-8*x^5-23*x^4-13*x^3-5*x^2+x+4)/(4*x^7+8*x^6+3*x^5-2*x^4-3*x^3-3*x^2-x+1) ogf] A305335 5.16116 [(16*x^7+24*x^6-8*x^5-23*x^4-13*x^3-5*x^2+x+4)/(4*x^7+8*x^6+3*x^5-2*x^4-3*x^3-3*x^2-x+1) ogf] A305342 3.89804 [-(x^2+x+1)*(x^9+2*x^6+3*x^5-3*x^3+x^2-3*x-3)/(x^12+x^11+x^9+x^8+x^7-x^6-x^5-2*x^4-3*x^3-x+1) ogf] A305342 4.21718 [-(x^2+x+1)*(x^9+2*x^6+3*x^5-3*x^3+x^2-3*x-3)/(x^12+x^11+x^9+x^8+x^7-x^6-x^5-2*x^4-3*x^3-x+1) ogf] A305381 7.67174 [-2*(16*x^5-8*x^4+4*x^3-2*x^2+x-2)/(2*x-1)/(4*x^5+2*x^2-1) ogf] A305381 8.40625 [-2*(16*x^5-8*x^4+4*x^3-2*x^2+x-2)/(2*x-1)/(4*x^5+2*x^2-1) ogf] A305395 2.05763 [(90*x+11)/(x+1)/(x-1)^2 ogf] A305396 2.10662 [(9*x+101)/(x+1)/(x-1)^2 ogf] A305412 8.21325 [-(x^4-2*x^3-5*x^2+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A305412 8.95153 [-(x^4-2*x^3-5*x^2+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A305413 10.3883 [-f(x)*x^2-199*f(x)*x+f(x)-x ogf] A305413 12.1862 [-(-2*x-199)/(-x^2-199*x+1) lgdogf] A305413 16.2483 [-x/(x^2+199*x-1) ogf] A305413 16.2483 [-x/(x^2+199*x-1) ogf] A305413 7.63475 [{-a(n+2)+199*a(n+1)+a(n),a(0)=0,a(1)=1} ogf] A305443 7.52618 [(x-1)*(x+1)*(3*x^2+x+3)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A305459 5.07636 [{a(n+1)+(3*n+9)*a(n+2)-a(n+3),a(0)=1,a(1)=3,a(2)=19} ogf] A305460 5.10066 [{-2*a(n+1)+(-3*n-9)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=20} ogf] A305462 5.25859 [x*(18*x^29+2*x^13+2*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A305462 6.16797 [x*(18*x^29+2*x^13+2*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A305471 5.02779 [{a(n+1)+(-3*n-9)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=17} ogf] A305472 5.02779 [{2*a(n+1)+(-3*n-9)*a(n+2)+a(n+3),a(0)=1,a(1)=3,a(2)=16} ogf] A305477 7.78255 [-(2*x^8+2*x^6+2*x^4-2*x^3-3*x^2-4*x-3)/(2*x^6-3*x^3-x+1) ogf] A305477 7.78256 [-(2*x^8+2*x^6+2*x^4-2*x^3-3*x^2-4*x-3)/(2*x^6-3*x^3-x+1) ogf] A305478 3.79170 [(4*x^12+8*x^11-12*x^10-21*x^9-16*x^8-7*x^7+46*x^6+16*x^5+35*x^4-2*x^3-4*x^2-12*x-5)/(2*x^10+2*x^9-2*x^8-7*x^7-7*x^6+x^5+5*x^3+x-1) ogf] A305478 3.87237 [(4*x^12+8*x^11-12*x^10-21*x^9-16*x^8-7*x^7+46*x^6+16*x^5+35*x^4-2*x^3-4*x^2-12*x-5)/(2*x^10+2*x^9-2*x^8-7*x^7-7*x^6+x^5+5*x^3+x-1) ogf] A305492 11.1297 [-7*f(x)*x^2-2*f(x)*x+f(x)-2*x ogf] A305492 13.4011 [-(-14*x-2)/(-7*x^2-2*x+1) lgdogf] A305492 17.7473 [-2*x/(7*x^2+2*x-1) ogf] A305492 17.7474 [-2*x/(7*x^2+2*x-1) ogf] A305492 8.10681 [{-a(n+2)+2*a(n+1)+7*a(n),a(0)=0,a(1)=2} ogf] A305495 4.50557 [(3*x^9+x^8+2*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A305495 6.85301 [(3*x^9+x^8+2*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A305496 4.3249 [(x^10+9*x^9+3*x^8+6*x^7+9*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+8)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A305496 6.41977 [(x^10+9*x^9+3*x^8+6*x^7+9*x^6+9*x^5+9*x^4+9*x^3+9*x^2+9*x+8)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A305503 6.85808 [x^14*(x^2-9*x+9)/(x-1)^2 ogf] A305503 9.54167 [x^14*(x^2-9*x+9)/(x-1)^2 ogf] A305511 3.87321 [(4*x^12+6*x^11+4*x^10+9*x^9+5*x^8+4*x^7-10*x^6-13*x^5-8*x^4+4*x^2+2*x+1)/(x+1)/(2*x^9+x^8+5*x^6-x^5+x^4-4*x^3-x+1) ogf] A305511 3.98201 [(4*x^12+6*x^11+4*x^10+9*x^9+5*x^8+4*x^7-10*x^6-13*x^5-8*x^4+4*x^2+2*x+1)/(x+1)/(2*x^9+x^8+5*x^6-x^5+x^4-4*x^3-x+1) ogf] A305518 5.58296 [-(x+1)*(27*x^4+39*x^3+9*x^2-4*x-4)/(30*x^5+44*x^4+10*x^3-8*x^2-6*x+1) ogf] A305518 5.73949 [-(x+1)*(27*x^4+39*x^3+9*x^2-4*x-4)/(30*x^5+44*x^4+10*x^3-8*x^2-6*x+1) ogf] A305539 10.1163 [-(3*x^2-70*x+35)/(x^3-35*x^2+35*x-1) lgdogf] A305539 13.7582 [-x/(x-1)/(x^2-34*x+1) ogf] A305539 15.9979 [-x/(x-1)/(x^2-34*x+1) ogf] A305539 6.03428 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=35} ogf] A305539 8.7077 [f(x)*x^3-35*f(x)*x^2+35*f(x)*x-f(x)+x ogf] A305548 12.0305 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=27} ogf] A305548 16.4417 [-f(x)*x^2+2*f(x)*x-f(x)+27*x ogf] A305548 25.9606 [27*x/(x-1)^2 ogf] A305548 32.8835 [27*x/(x-1)^2 ogf] A305548 75.5527 [[2] ogf_with_Euler_transform] A305549 4.21102 [{(2*n^2+9*n+10)*a(n+1)+(-4*n^2-20*n-97)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=73,a(2)=985} ogf] A305549 5.59420 [-(x^2+6*x+1)*(x^4+60*x^3+134*x^2+60*x+1)/(x-1)^7 ogf] A305549 9.01655 [-(x^2+6*x+1)*(x^4+60*x^3+134*x^2+60*x+1)/(x-1)^7 ogf] A305554 11.2918 [(4*x-2+((-1+5*x)*(x-1))^(1/2))*x/(-1+5*x) ogf] A305554 5.76432 [25*f(x)^2*x^2-40*f(x)*x^3+11*x^4-10*f(x)^2*x+28*f(x)*x^2-10*x^3+f(x)^2-4*f(x)*x+3*x^2 ogf] A305555 6.29657 [25*f(x)^2*x^2-65*f(x)*x^3-19*x^4-10*f(x)^2*x+63*f(x)*x^2+26*x^3+f(x)^2-15*f(x)*x-3*x^2+f(x) ogf] A305555 9.79466 [-1/2*(-13*x^2+((5*x-1)*(x-1)*(-1+7*x)^2)^(1/2)+10*x-1)/(5*x-1) ogf] A305559 11.803 [-x*(2*x-1)*(x+1)*(x^2-x+1)/(x-1)^3 ogf] A305561 7.97048 [-8*f(x)^2*x^2+8*f(x)*x^2+f(x)^2-2*f(x)*x-2*x^2-f(x)+x ogf] A305561 8.48471 [-1/2*(-8*x^2+(-(2*x-1)*(2*x+1))^(1/2)+2*x+1)/(8*x^2-1) ogf] A305570 2.2681 [-(f(x)-1)^3 ogf] A305571 3.54391 [-(f(x)-1)^3 ogf] A305573 3.99431 [-64*f(x)^3*x^3+16*f(x)^3*x^2-f(x)^3*x-48*f(x)^2*x^2+8*f(x)^2*x-12*f(x)*x+f(x)-1 ogf] A305573 7.92988 [1/2*((4*x+1)^(1/2)+1)/(4*x+1)^(3/2)*x revogf] A305574 5.62271 [-f(x)^3*x^2+12*f(x)^2*x^2+2*f(x)^2*x-48*f(x)*x^2-16*f(x)*x+64*x^2-f(x)+32*x+5 ogf] A305581 5.37963 [(101085*f(x)-294013)*(f(x)*x^3+2*x^4+f(x)*x^2-5*x^3+f(x)*x-x^2-f(x)-x+4) ogf] A305581 9.57155 [-(2*x^4-5*x^3-x^2-x+4)/(x^3+x^2+x-1) ogf] A305581 9.57155 [-(2*x^4-5*x^3-x^2-x+4)/(x^3+x^2+x-1) ogf] A305582 5.69429 [(12*x^7+36*x^6+10*x^5-18*x^4-43*x^3-13*x^2-3*x+8)/(4*x^6+2*x^5-5*x^3-2*x^2-x+1) ogf] A305582 5.88569 [(12*x^7+36*x^6+10*x^5-18*x^4-43*x^3-13*x^2-3*x+8)/(4*x^6+2*x^5-5*x^3-2*x^2-x+1) ogf] A305583 4.42485 [(42*x^9-33*x^8+168*x^7+460*x^6+53*x^5-115*x^4-197*x^3-37*x^2-8*x+16)/(27*x^6+9*x^5-12*x^3-3*x^2-x+1) ogf] A305583 4.54776 [(42*x^9-33*x^8+168*x^7+460*x^6+53*x^5-115*x^4-197*x^3-37*x^2-8*x+16)/(27*x^6+9*x^5-12*x^3-3*x^2-x+1) ogf] A305608 6.68496 [{16*a(n)*n+2*a(n+1)+(-n-2)*a(n+2),a(0)=0,a(1)=1} ogf] A305608 8.23960 [-(-2*x^4-4*x^3-3*x^2-x)/(8*x^4+16*x^3+12*x^2+4*x+1) revogf] A305609 6.59636 [{64*a(n)*n+2*a(n+1)+(-n-2)*a(n+2),a(0)=0,a(1)=1} ogf] A305612 4.98619 [8*f(x)^2*x^3-12*f(x)^2*x^2+8*f(x)*x^3+6*f(x)^2*x-12*f(x)*x^2+4*x^3-f(x)^2+6*f(x)*x-f(x)+3*x ogf] A305612 7.36057 [{4*a(n)*n+6*a(n+1)+(-n-2)*a(n+2),a(0)=0,a(1)=3} ogf] A305623 13.1273 [-3*x^2*(5*x^2-x-1)/(3*x-1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A305623 13.8332 [-3*x^2*(5*x^2-x-1)/(3*x-1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A305623 7.84439 [-(720*x^7-630*x^6-336*x^5+347*x^4+46*x^3-51*x^2-12*x+6)/(180*x^8-186*x^7-126*x^6+179*x^5+4*x^4-51*x^3+9*x^2+4*x-1) lgdogf] A305624 10.2417 [12*x^3*(13*x^3+2*x^2-3*x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A305625 7.29968 [-60*x^4*(7*x^2-x-1)*(11*x^3+2*x^2-2*x-1)/(3*x-1)/(5*x-1)/(2*x+1)/(2*x-1)/(4*x-1)/(3*x^2-1)/(2*x^2-1)/(5*x^2-1) ogf] A305628 16.6792 [-(x+2)/(x-1)^2/(x+1)^2 ogf_with_Euler_transform] A305650 11.6331 [(2*x^2+1)/(x-1)/(2*x+1)/(2*x^2+2*x-1) ogf] A305650 12.3490 [(2*x^2+1)/(2*x+1)/(x-1)/(2*x^2+2*x-1) ogf] A305650 5.9458 [-(5481*f(x)+2876)*(4*f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-f(x)*x-2*x^2+f(x)-1) ogf] A305650 7.50171 [-(-16*x^5-4*x^4-16*x^3-8*x^2+16*x+1)/(-8*x^6-4*x^5+8*x^4+4*x^2+x-1) lgdogf] A305652 10.2737 [-(3*x^3-x^2-x)/(-4*x^5+2*x^4+6*x^3-3*x^2-2*x+1) ogf_with_Euler_transform] A305652 9.87381 [x*(3*x^2-x-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf_with_Euler_transform] A305653 11.3107 [-(-x-1)/(-x^5+5*x^4-10*x^3+10*x^2-5*x+1) ogf_with_Euler_transform] A305653 21.9329 [-(x+1)/(x-1)^5 ogf_with_Euler_transform] A305687 4.77012 [-(3*x^6+18*x^4-27*x^3+6*x^2-19*x-1)/(x+1)/(x^7-2*x^6+x^5-11*x^3-x^2-7*x+1) ogf] A305687 4.96093 [-(3*x^6+18*x^4-27*x^3+6*x^2-19*x-1)/(x+1)/(x^7-2*x^6+x^5-11*x^3-x^2-7*x+1) ogf] A305708 10.6746 [-exp(-x)*sin(x)-exp(-x)*cos(x) lgdegf] A305708 13.5211 [-exp(-x)*(sin(x)+cos(x)) lgdegf] A305721 4.33474 [{(2*n^2+9*n+10)*a(n+1)+(-4*n^2-20*n-123)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=99,a(2)=1765} ogf] A305721 4.98496 [(x+1)*(x^6+90*x^5+911*x^4+2092*x^3+911*x^2+90*x+1)/(x-1)^8 ogf] A305721 8.48503 [(x+1)*(x^6+90*x^5+911*x^4+2092*x^3+911*x^2+90*x+1)/(x-1)^8 ogf] A305722 3.84802 [-(x^8+120*x^7+1820*x^6+8008*x^5+12870*x^4+8008*x^3+1820*x^2+120*x+1)/(x-1)^9 ogf] A305722 3.84802 [{(2*n^2+9*n+10)*a(n+1)+(-4*n^2-20*n-153)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=129,a(2)=2945} ogf] A305722 6.29986 [-(x^8+120*x^7+1820*x^6+8008*x^5+12870*x^4+8008*x^3+1820*x^2+120*x+1)/(x-1)^9 ogf] A305723 3.54932 [(x+1)*(x^2+14*x+1)*(x^6+138*x^5+975*x^4+1868*x^3+975*x^2+138*x+1)/(x-1)^10 ogf] A305723 4.10570 [{(2*n^2+9*n+10)*a(n+1)+(-4*n^2-20*n-187)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=163,a(2)=4645} ogf] A305723 6.43691 [(x+1)*(x^2+14*x+1)*(x^6+138*x^5+975*x^4+1868*x^3+975*x^2+138*x+1)/(x-1)^10 ogf] A305724 3.80950 [{(2*n^2+9*n+10)*a(n+1)+(-4*n^2-20*n-225)*a(n+2)+(2*n^2+11*n+15)*a(n+3),a(0)=1,a(1)=201,a(2)=7001} ogf] A305724 5.18204 [-(x^2+6*x+1)*(x^8+184*x^7+3740*x^6+16136*x^5+25414*x^4+16136*x^3+3740*x^2+184*x+1)/(x-1)^11 ogf] A305730 9.43581 [-(x^3-2*x^2+3*x+4)/(x-1)/(x^2-2*x+3) lgdegf] A305739 5.15545 [-(exp(x)*x^4-4*exp(x)*x^3+6*exp(x)*x^2-4*exp(x)*x+exp(x)-2*x-1)/(x-1)^4 egf] A305750 11.4905 [(x^3-3*x^2+1)/(x-1)/(2*x+1)/(2*x-1) ogf] A305750 6.66254 [-(2*f(x)+3)*(4*f(x)*x^3-4*f(x)*x^2-x^3-f(x)*x+3*x^2+f(x)-1) ogf] A305751 7.06873 [(2*x-1)*(x^4-3*x^3-2*x^2+2*x+1)/(x-1)/(2*x^2-1)/(5*x^2-1) ogf] A305752 5.87551 [(8*x^7-25*x^6-6*x^5+29*x^4+x^3-10*x^2+1)/(x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A305753 12.068 [-x*(3*x-1)*(3*x+1)/(x-1)/(10*x^2-1) ogf] A305753 14.3180 [-x*(3*x-1)*(3*x+1)/(x-1)/(10*x^2-1) ogf] A305753 6.35159 [{a(n+4)-a(n+3)-10*a(n+2)+10*a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=2} ogf] A305753 7.47576 [-(7*f(x)-2)*(10*f(x)*x^3-10*f(x)*x^2+9*x^3-f(x)*x+f(x)-x) ogf] A305777 5.93776 [(10*x^6-x^5-13*x^4+x^3+6*x^2-1)/(2*x-1)/(x+1)/(3*x^2-1)/(2*x^2-1)/(x-1)^2 ogf] A305777 6.35856 [(10*x^6-x^5-13*x^4+x^3+6*x^2-1)/(2*x-1)/(x+1)/(3*x^2-1)/(2*x^2-1)/(x-1)^2 ogf] A305826 4.95307 [-(4*x^8-26*x^7+74*x^6-120*x^5+120*x^4-76*x^3+28*x^2-8*x+1)/(5*x-1)/(x^2-x+1)/(x^6-6*x^5+15*x^4-19*x^3+12*x^2-3*x+1) ogf] A305826 4.98121 [-(4*x^8-26*x^7+74*x^6-120*x^5+120*x^4-76*x^3+28*x^2-8*x+1)/(-1+5*x)/(x^2-x+1)/(x^6-6*x^5+15*x^4-19*x^3+12*x^2-3*x+1) ogf] A305859 12.7577 [(x^3+8*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A305859 12.7577 [(x^3+8*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A305859 5.27116 [{(4*n+13)*a(n+1)+4*a(n+2)+4*a(n+3)+(-4*n-9)*a(n+4),a(0)=1,a(1)=3,a(2)=11,a(3)=13} ogf] A305859 7.09907 [(456*f(x)+4051)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-8*x^2+f(x)-2*x-1) ogf] A305861 11.7793 [(2*x^2-7*x-5)/(x-1)/(3*x-1)/(2*x-1) ogf] A305861 6.38044 [(17582*f(x)-68527)*(6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x-2*x^2-f(x)+7*x+5) ogf] A305862 4.99656 [(5215381309*f(x)+65845639600)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-10*f(x)*x+24*x^2+f(x)-94*x-14) ogf] A305862 9.33093 [-2*(12*x^2-47*x-7)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A305863 6.01707 [-(56*x^4-490*x^3+479*x^2+898*x+41)/(x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A305867 32.7590 [1/(1-2*x)^(3/2) egf]_with_Euler_transform] A305880 10.7704 [-(2110*x^2-2211)/(x-1)/(10*x^2-1) ogf] A305880 5.14405 [(444443311*f(x)+221150761241)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+2110*x^2+f(x)-2211) ogf] A305886 16.0317 [6/(1728*x-1) lgdogf] A305886 4.51802 [{(n+2)*a(n+2)+(-1722-1728*n)*a(n+1),a(0)=1,a(1)=-6} ogf] A305889 14.5118 [-x^2*(2*x+1)/(x^4+3*x^2-1) ogf] A305889 8.27017 [(2*f(x)+1)*(f(x)*x^4+3*f(x)*x^2+2*x^3+x^2-f(x)) ogf] A305931 6.47309 [-59049*(564859072962*x^13+20920706406*x^11+1119214746*x^9+12754584*x^8+39366*x^5+240*x+1)/(3*x-1) ogf] A305934 12.9535 [(3*f(x)*x-f(x)+14171760*x+59049)^3 ogf] A305956 3.38722 [-(9*x^9+25*x^7+26*x^6+121*x^5+186*x^4+48*x^3-15*x^2-21*x-1)/(11*x^9+39*x^8+58*x^7+107*x^6+135*x^5+54*x^4-14*x^3-17*x^2-4*x+1) ogf] A305956 3.38722 [-(9*x^9+25*x^7+26*x^6+121*x^5+186*x^4+48*x^3-15*x^2-21*x-1)/(11*x^9+39*x^8+58*x^7+107*x^6+135*x^5+54*x^4-14*x^3-17*x^2-4*x+1) ogf] A305991 21.5283 [3/(27*x-1) lgdogf] A305991 5.88981 [{(n+2)*a(n+2)+(-24-27*n)*a(n+1),a(0)=1,a(1)=-3} ogf] A306027 12.8849 [exp(x)+exp(3*x)+exp(2*x) lgdegf] A306161 4.52385 [(16*x^9+8*x^8+24*x^7+10*x^6-21*x^5-22*x^4-15*x^3+4*x^2+x+4)/(8*x^7+8*x^6+2*x^5-2*x^4-5*x^3-2*x^2-x+1) ogf] A306185 11.341 [(-32*x-29+6*(-2*x+1)^(1/2))/(8*x+5)/(2*x-1) lgdegf] A306194 4.89226 [-(x^11+5*x^10+90*x^9+993*x^8+6825*x^7+26538*x^6+55816*x^5+58127*x^4+25963*x^3+3777*x^2+113*x+1)/(x-1) ogf] A306258 15.8909 [-x^2/(x+1)/(x-1)^3 egf] A306258 8.04355 [-f(x)*x^4+2*f(x)*x^3-2*f(x)*x-x^2+f(x) egf] A306262 13.444 [-x^3*(x^2+x-4)/(x+1)/(x-1)^4 ogf] A306276 13.4618 [(x^3-x-1)/(x+1)/(x^3+x-1) ogf] A306276 7.39792 [(f(x)-1)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3-f(x)+x+1) ogf] A306277 18.9816 [(2*x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A306277 8.59852 [(940*f(x)+20151)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-7*x-1) ogf] A306278 16.4773 [(3*x^2+9*x+2)/(x+1)/(x-1)^2 ogf] A306278 7.15819 [-(2772*f(x)-44551)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-9*x-2) ogf] A306279 14.7074 [(4*x^2+15*x+3)/(x+1)/(x-1)^2 ogf] A306279 6.40484 [-(9724*f(x)+885583)*(f(x)*x^3-f(x)*x^2-f(x)*x-4*x^2+f(x)-15*x-3) ogf] A306285 20.4005 [(5*x^2+17*x+4)/(x+1)/(x-1)^2 ogf] A306285 8.88411 [-(6188*f(x)-438437)*(f(x)*x^3-f(x)*x^2-f(x)*x-5*x^2+f(x)-17*x-4) ogf] A306293 5.07409 [-(x+1)*(4*x^7-4*x^6-7*x^5-5*x^4+5*x^3+5*x^2-x-1)/(3*x^2-1)/(2*x^2-1)/(x^2+x-1)/(x^2-x-1) ogf] A306315 3.71169 [-(2*x^11-18*x^9+9*x^8+48*x^7+3*x^6-44*x^5-14*x^4+16*x^3+7*x^2-2*x-1)/(3*x^2-1)/(x^2+x-1)/(x^2-x-1)/(x^3-2*x^2-x+1)/(x^3+2*x^2-x-1) ogf] A306331 13.5492 [(7*x^2+25*x+6)/(x+1)/(x-1)^2 ogf] A306331 5.8068 [-(58900*f(x)-9661559)*(f(x)*x^3-f(x)*x^2-f(x)*x-7*x^2+f(x)-25*x-6) ogf] A306334 6.12546 [-(x+1)*(x^7-2*x^6+x^4-3*x^3+5*x^2-1)/(x^3-x^2-2*x+1)/(x^6-x^4-2*x^2+1) ogf] A306351 9.63917 [(2*x^9-3*x^8+x^3-3*x^2+3*x-1)/(x^4+x-1)/(x-1)^2 ogf] A306357 8.97893 [x*(x^5+x^4-2*x^3+x+1)/(x-1)/(x^3+x^2+x-1) ogf] A306368 8.54381 [-(x^8+x^7-3*x^5-2*x^4+3*x^3+5*x^2+10*x+6)/(x-1)^3/(x^2+x+1)^3 ogf] A306376 7.44011 [-1/2*(2*I*x-I+(4*x-1)^(1/2))/(x-1)/(2*x-1)/(4*x-1)^(1/2) ogf] A306380 3.72736 [(267916878*f(x)-16343575)*(f(x)*x^3-323*f(x)*x^2+323*f(x)*x+25*x^2-f(x)-850*x+25) ogf] A306380 7.23864 [-25*(x^2-34*x+1)/(x-1)/(x^2-322*x+1) ogf] A306381 8.37796 [-(x^6+408*x^5+5739*x^4+12724*x^3+5739*x^2+408*x+1)/(x-1)^7 ogf] A306404 14.9939 [-1/9*x^3-1/3*x^2-1/3*x+4/3*ln(x+1) revegf] A306409 5.08949 [4*f(x)^2*x^4-f(x)^2*x^3-12*f(x)^2*x^2+11*f(x)^2*x-4*f(x)*x^2-2*f(x)^2+5*f(x)*x-f(x)+x ogf] A306409 7.12529 [1/2*(4*x-1+(-(4*x-1)*(2*x+1)^2)^(1/2))/(x+2)/(4*x-1)/(x-1) ogf] A306423 4.82264 [1/2*I*(6*I*x^4-I*x^2-(4*x-1)^(1/2)*x^2+7*I*x-3*(4*x-1)^(1/2)*x-2*I+2*(4*x-1)^(1/2))/x^5 ogf] A306447 9.13323 [-(3*x^4-4*x^3-8*x^2+3)/(x^3+2*x^2+x-1)/(x-1)^2 ogf] A306455 8.70071 [exp(-x)*(x*exp(x)-exp(x)+x+1)/(x-1)^2 egf] A306463 7.2359 [-(3*x^5+5*x^4-2*x^3-6*x^2-x-1)/(x^6+2*x^5-x^4-4*x^3-x^2-2*x+1) lgdogf] A306472 16.4722 [-27*f(x)*x+f(x)-37 ogf] A306472 26.2335 [-37/(27*x-1) ogf] A306473 2.15423 [(x^8-x^7+x^6+x^3+x+1)/(x-1)/(x^4+x^2-1) ogf] A306495 11.1799 [-(exp(-x)-2)*exp(x)/(x-1)^2 egf] A306504 13.549 [1/(x^6+2*x^5-x^4-4*x^3-x^2-2*x+1) ogf] A306519 10.6457 [-2*f(x)^2*x^2-2*f(x)^2*x+2*f(x)*x+f(x)-1 ogf] A306519 15.7639 [-x*(2*x-1)/(2*x^2-2*x+1) revogf] A306545 5.27988 [(729082*f(x)-5842617)*(12*f(x)*x^3-17*x^4-19*f(x)*x^2+27*x^3+8*f(x)*x-17*x^2-f(x)+1) ogf] A306545 9.1738 [(17*x^4-27*x^3+17*x^2-1)/(x-1)/(3*x-1)/(4*x-1) ogf] A306561 6.91653 [-(x^4+3*x^3-22*x^2+3*x+1)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A306603 5.36404 [-(3*f(x)-14)*(f(x)*x^4-4*f(x)*x^3-4*f(x)*x^2+4*x^3+f(x)*x+8*x^2+f(x)-3*x-4) ogf] A306603 9.89213 [-(4*x^3+8*x^2-3*x-4)/(x^4-4*x^3-4*x^2+x+1) ogf] A306610 4.89921 [(1461*f(x)-13178)*(f(x)*x^4+f(x)*x^3-4*f(x)*x^2+4*x^3-4*f(x)*x+3*x^2+f(x)-8*x-4) ogf] A306610 9.16216 [-(4*x^3+3*x^2-8*x-4)/(x^4+x^3-4*x^2-4*x+1) ogf] A306611 6.57189 [-(6*x^5+20*x^4-20*x^3-75*x^2-10*x+4)/(x^2+3*x+1)/(x^4+x^3-9*x^2+x+1) ogf] A306623 10.6823 [8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1 lgdegf] A306637 10.7122 [x*(x^2+1)/(x^4+x^3+2*x^2-x+1) ogf] A306637 5.3976 [-(5*f(x)-8)*(f(x)*x^4+f(x)*x^3+2*f(x)*x^2-x^3-f(x)*x+f(x)-x) ogf] A306668 10.8649 [1/3*x^2-2/3*x+1/9-1/9*(-3*x^2+6*x+1)^(1/2) revogf] A306672 14.2899 [-2*(2*x-1)/(x-1)/(x^2+4*x-1) ogf] A306672 7.4727 [-(95*f(x)-46)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)+4*x-2) ogf] A306721 9.46939 [-(x-1)^6/(x^8+x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A306752 8.02409 [(x-1)^7/(x^9-x^8+8*x^7-28*x^6+56*x^5-70*x^4+56*x^3-28*x^2+8*x-1) ogf] A306753 6.87442 [-(x-1)^8/(x^10+x^9-9*x^8+36*x^7-84*x^6+126*x^5-126*x^4+84*x^3-36*x^2+9*x-1) ogf] A306755 17.9207 [(x^6-7)/(x^7+x^6-1) ogf] A306756 15.8848 [(x^7-8)/(x^8+x^7-1) ogf] A306757 11.5264 [(x^4-3)*(x^4+3)/(x^9+x^8-1) ogf] A306758 13.9683 [(x^9-10)/(x^10+x^9-1) ogf] A306764 4.33565 [-(6*x^8+2*x^7+x^6-3*x^5+x^3+6*x^2+x+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A306771 14.8342 [3*(x^2+4*x+1)/(x-1)^2/(x+1) ogf] A306771 9.39497 [-f(x)*x^3+f(x)*x^2+f(x)*x+3*x^2-f(x)+12*x+3 ogf] A306809 7.30018 [-(6*x^6-22*x^5+40*x^4-41*x^3+27*x^2-11*x+2)/(x-1)/(2*x-1)^2/(x^2-x+1)^2 ogf] A306810 8.14299 [(2*x^6+14*x^5+42*x^4+55*x^3+37*x^2+13*x+2)/(x+1)/(3*x^2+3*x+1)^2 ogf] A306847 10.7506 [(x-1)^5/(2*x-1)/(x^2-x+1)/(3*x^2-3*x+1) ogf] A306852 8.62407 [-(x-1)^6/(2*x-1)/(x^6-3*x^5+9*x^4-13*x^3+11*x^2-5*x+1) ogf] A306853 2.26344 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A306859 9.20987 [(x-1)^7/(2*x-1)/(2*x^2-2*x+1)/(2*x^4-4*x^3+6*x^2-4*x+1) ogf] A306860 7.1896 [-(x-1)^8/(2*x-1)/(x^2-x+1)/(x^6-3*x^5+12*x^4-19*x^3+15*x^2-6*x+1) ogf] A306939 8.03553 [-1/(2*x-1)/(x^2-x+1)/(x^6-3*x^5+12*x^4-19*x^3+15*x^2-6*x+1) ogf] A306940 10.9304 [1/(2*x^2-2*x+1)/(x^4-2*x^3+5*x^2-4*x+1) ogf] A306941 9.00375 [1/(2*x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1) ogf] A306942 8.62446 [1/(3*x^2-3*x+1)/(3*x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1) ogf] A306957 24.026 [(x+1)^10 egf] A306967 11.8744 [2*(x^3-2*x^2-1)/(x^2+x-1)^3 ogf] A306994 5.87757 [(2*x^32-106*x^30-97*x^29+21*x^28-x^27-21*x^26+4*x^11-32*x^9-25*x^8-9*x^2-9*x-1)/(x-1)/(x+1)^2 ogf] A307018 13.0966 [-x^3/(x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A307040 9.36164 [-(x-1)^5/(2*x^2-2*x+1)/(x^4-2*x^3+5*x^2-4*x+1) ogf] A307041 9.75417 [(x-1)^6/(7*x^6-21*x^5+35*x^4-35*x^3+21*x^2-7*x+1) ogf] A307044 7.5327 [-(x-1)^7/(2*x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1) ogf] A307045 7.9365 [(x-1)^8/(3*x^2-3*x+1)/(3*x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1) ogf] A307089 9.54054 [(x-1)^4/(2*x^2-2*x+1)/(x^4-2*x^3+5*x^2-4*x+1) ogf] A307168 16.1631 [-(4*x-11)/(x^2-16*x+1) ogf] A307168 7.91318 [-(1365*f(x)-223)*(f(x)*x^2-16*f(x)*x+f(x)+4*x-11) ogf] A307169 17.5264 [(x+4)/(x^2-16*x+1) ogf] A307169 8.179 [(1032*f(x)+97)*(f(x)*x^2-16*f(x)*x+f(x)-x-4) ogf] A307172 15.4113 [-(11*x-4)/(x^2-16*x+1) ogf] A307172 7.62455 [-(840*f(x)-551)*(f(x)*x^2-16*f(x)*x+f(x)+11*x-4) ogf] A307173 16.7553 [(4*x+1)/(x^2-16*x+1) ogf] A307173 7.90698 [(159*f(x)+41)*(f(x)*x^2-16*f(x)*x+f(x)-4*x-1) ogf] A307181 8.14608 [2*x*(x^6+2*x^5-3*x^4-2*x^2+3*x-3)/(x^2+x-1)^3 ogf] A307182 13.772 [-4*x^4*(x^2+x+1)/(x+1)^3/(x-1)^5 ogf] A307201 6.81981 [(x^8+9*x^7+12*x^6+24*x^5+19*x^4+12*x^3+9*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A307202 6.76391 [(x^8+12*x^7+12*x^6+18*x^5+19*x^4+15*x^3+9*x^2+3*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A307203 4.50927 [-(2*x^16-2*x^15+4*x^14-x^13+x^12-2*x^10-4*x^9-3*x^8-8*x^7-4*x^6-8*x^5-7*x^4-5*x^3-5*x^2-2*x-1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A307204 4.59842 [-(6*x^17+12*x^16-12*x^13-12*x^12-3*x^11-6*x^10-7*x^8-18*x^7-12*x^6-12*x^5-10*x^4-6*x^3-6*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A307205 5.18264 [-(2*x^14+4*x^13-4*x^10-4*x^9-7*x^8-8*x^7-13*x^6-16*x^5-17*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A307208 9.0832 [2*(3*x^6-3*x^5+4*x^4-7*x^3+8*x^2+x+1)/(x^2+x-1)^4 ogf] A307253 13.2086 [2*x^2*(4*x^2+10*x+7)/(x+1)/(x-1)^4 ogf] A307268 13.6661 [-(x-3)/(x-1)/(x^2+4*x-1) ogf] A307268 7.08153 [(31840*f(x)-6987)*(f(x)*x^3+3*f(x)*x^2-5*f(x)*x+f(x)+x-3) ogf] A307270 4.21019 [-(2*x^17+6*x^16+4*x^15-2*x^14-6*x^12-5*x^11-2*x^10-8*x^9-9*x^8-13*x^7-15*x^6-12*x^5-11*x^4-9*x^3-6*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A307271 6.68944 [-(x^8+9*x^7+12*x^6+24*x^5+19*x^4+12*x^3+9*x^2+3*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A307272 6.63634 [-(x^8+12*x^7+12*x^6+18*x^5+19*x^4+15*x^3+9*x^2+3*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A307273 4.62814 [(2*x^16-2*x^15+4*x^14-x^13+x^12-2*x^10-4*x^9-3*x^8-8*x^7-4*x^6-8*x^5-7*x^4-5*x^3-5*x^2-2*x-1)/(x+1)/(x^2+1)^2/(x-1)^3 ogf] A307274 4.65414 [(6*x^17+12*x^16-12*x^13-12*x^12-3*x^11-6*x^10-7*x^8-18*x^7-12*x^6-12*x^5-10*x^4-6*x^3-6*x^2-3*x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A307275 5.33531 [(2*x^14+4*x^13-4*x^10-4*x^9-7*x^8-8*x^7-13*x^6-16*x^5-17*x^4-14*x^3-8*x^2-4*x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A307276 4.31478 [(2*x^17+6*x^16+4*x^15-2*x^14-6*x^12-5*x^11-2*x^10-8*x^9-9*x^8-13*x^7-15*x^6-12*x^5-11*x^4-9*x^3-6*x^2-3*x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A307304 10.6791 [-x*(x^2+1)*(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A307307 7.05669 [2*x*(3*x^9+9*x^8-6*x^6-25*x^5+27*x^4-4*x^3+6*x^2-5*x+5)/(x^2+x-1)^4 ogf] A307354 5.24643 [-4*f(x)^2*x^4+f(x)^2*x^3+12*f(x)^2*x^2-11*f(x)^2*x-4*f(x)*x^2+2*f(x)^2+5*f(x)*x-f(x)-1 ogf] A307354 9.07325 [1/2*(-4*x+1+3*(-4*x+1)^(1/2))/(x+2)/(4*x-1)/(x-1) ogf] A307370 6.99645 [x^3*(4*x^5+6*x^4+7*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A307371 7.37529 [x*(100*x^4-x^3+99*x^2+98*x+1)/(x-1)/(100*x^3-1)/(x^2+x+1) ogf] A307374 10.2528 [1/2*x^2-1/2+1/2*(x^4-2*x^2+4*x+1)^(1/2) revogf] A307374 16.4046 [-x-1+f(x)+f(x)^2*x^2 ogf] A307389 17.696 [exp(2*x)-exp(x)+1 lgdegf] A307395 17.2987 [-1/(x-1)/(3*x^2-3*x+1) ogf] A307395 7.86307 [(f(x)-1)*(3*f(x)*x^3-6*f(x)*x^2+4*f(x)*x-f(x)+1) ogf] A307411 10.4513 [f(x)^3*x^2+f(x)^2*x^2+f(x)^2*x-f(x)+1 ogf] A307411 14.3705 [-x*(x^2+x-1)/(x^2+1) revogf] A307412 14.6033 [x*(x^2+2*x-1)/(x^2+x-1) revogf] A307412 8.60823 [-f(x)^3*x^2+f(x)^2*x^2-2*f(x)^2*x+f(x)*x+f(x)-1 ogf] A307413 10.444 [2*f(x)^3*x^2-2*f(x)^2*x^2+f(x)^2*x-f(x)+1 ogf] A307413 14.3604 [x*(x+1)*(2*x-1)/(2*x^2-1) revogf] A307415 8.55077 [(x^2+3*x+1)*(x^2-x+1)*(x+1)^2/(x^2+x-1)^2/(x^2-x-1)^2 ogf] A307418 14.4519 [-1/2*x^2-x+2*ln(x+1) revegf] A307460 19.6609 [-(x-1)/(x+1)^3 ogf_with_Euler_transform] A307462 7.34397 [(x-1)*(x^6-x^5-x^4-6*x^3-x^2-x+1)/(x+1)^3/(x^2+1)^3 ogf_with_Euler_transform] A307464 14.2292 [-(2*x^2-1)/(x^3-3*x^2-x+1) ogf] A307464 7.30687 [-(f(x)-1)*(f(x)*x^3-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-1) ogf] A307465 10.2079 [-(x^3+2*x^2-3*x+1)/(x^2+2*x-1)/(x-1)^2 ogf] A307465 6.26198 [(2*f(x)-1)*(f(x)*x^4-4*f(x)*x^2+x^3+4*f(x)*x+2*x^2-f(x)-3*x+1) ogf] A307466 5.33475 [(2*f(x)-1)*(2*f(x)*x^4+5*f(x)*x^3-x^4-11*f(x)*x^2-x^3+6*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A307466 9.16323 [(x^4+x^3-7*x^2+5*x-1)/(2*x-1)/(x^3+3*x^2-4*x+1) ogf] A307469 16.5077 [-(3*x+1)/(6*x^2+2*x-1) ogf] A307469 8.63774 [(22*f(x)+3)*(6*f(x)*x^2+2*f(x)*x-f(x)+3*x+1) ogf] A307484 7.65625 [-(x-1)*(x^6-x^5-x^4-6*x^3-x^2-x+1)/(x+1)^3/(x^2+1)^3 ogf_with_Euler_transform] A307489 12.7761 [1/2*(-4*x+1+(-4*x+1)^(1/2))*x revogf] A307490 10.1172 [1/2*(-2*x+1+(-(2*x-1)*(2*x+1))^(1/2))*x revogf] A307528 12.6092 [x*(x^3+x^2+x-1)/(x^3+x-1) revogf] A307529 12.5818 [x*(x^3+x^2-1)/(x-1)/(x+1) revogf] A307543 3.44457 [(x^17-x^16-x^14+x^13-x^12+x^9-x^8+x^7+x^5-x^4-x^2+x-1)/(2*x^17-x^16+x^15-x^14+2*x^13-x^12-x^10+x^9-2*x^8+x^7+2*x^5-x^4+x^3-x^2+2*x-1) ogf] A307554 4.43065 [-x^4*(x^5+13*x^4-23*x^3-4*x^2+13*x+2)/(x-1)^3 ogf] A307557 4.75639 [-4*f(x)^2*x^4+3*f(x)^2*x^3+2*f(x)^2*x^2-4*f(x)*x^3-f(x)^2*x+3*f(x)*x^2+2*f(x)*x-x^2-f(x)+x+1 ogf] A307559 10.8595 [2*x^2*(x+1)*(x^2+1)/(x^2+x+1)^2/(x-1)^4 ogf] A307621 14.0903 [-(x+1)*(x^3+2*x^2+1)/(x-1)^5 ogf] A307642 5.21395 [I*(2*I*ln(x-1)*x+I*ln(x-1)-3*I*x+2*Pi*x-I+Pi)/(x-1)^4 egf] A307651 3.06583 [-(8*x^20-x^19-x^18-x^17-x^16-x^15-x^14-x^13-x^12-x^11+3*x^10-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A307663 6.0446 [-(2*ln(x-1)*x-2*ln(2*x-1)*x-ln(x-1)+ln(2*x-1)-1)/(x-1)^3/(2*x-1) egf] A307677 11.9257 [(x^3+x^2-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A307677 7.57022 [(f(x)-1)*(f(x)*x^4+f(x)*x^2-x^3+f(x)*x-x^2-f(x)+1) ogf] A307678 13.131 [-f(x)^3*x-f(x)*x+f(x)+x-1 ogf] A307681 28.6103 [(3*x^2-7*x+3)/(x-1)^3 ogf] A307681 9.94087 [-(63*f(x)-379)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-3*x^2-f(x)+7*x-3) ogf] A307684 6.27831 [x^2*(6*x^8+14*x^7+18*x^6+21*x^5+23*x^4+15*x^3+7*x^2+3*x+1)/(x+1)^3/(x^2+x+1)^4/(x-1)^6 ogf] A307686 6.4262 [x^2*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A307688 12.3405 [x^2*(x-2)/(2*x^2-x+1)/(x^2+x-1) ogf] A307688 5.85497 [-(385*f(x)-201)*(2*f(x)*x^4+f(x)*x^3-2*f(x)*x^2-x^3+2*f(x)*x+2*x^2-f(x)) ogf] A307695 11.5681 [64*f(x)^2*x^2-20*f(x)^2*x+f(x)^2-1 ogf] A307695 13.9246 [-2*(32*x-5)/(16*x-1)/(4*x-1) lgdogf] A307696 13.0265 [x^2-x-3+3*(-x^2+x+1)^(1/2) revogf] A307702 11.7793 [(2*x+1)*(x^2-3*x+1)/(4*x-1)/(x-1) ogf] A307702 6.96048 [-(828*f(x)+8245)*(4*f(x)*x^2-2*x^3-5*f(x)*x+5*x^2+f(x)+x-1) ogf] A307717 5.21862 [(2*x^16-x^14-5*x^12+5*x^10+12*x^8-5*x^6-11*x^4+2*x^2+4)/(x-1)^4/(x+1)^4/(x^2+1)^4 ogf] A307733 8.66315 [-f(x)^2*x-f(x)*x^2-f(x)*x+f(x)+x-1 ogf] A307733 8.77144 [1/2/(x-1)*(-x-1+(-4*x^3+9*x^2-2*x+1)^(1/2)) revogf] A307753 2.07395 [(x+1)*(4*x^2-x+1)/(x^4+x^3+x+3) lgdogf] A307753 3.47267 [x^4+x^3+x+3-f(x) ogf] A307757 6.71667 [(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf_with_Euler_transform] A307764 13.8025 [-100*(96*x^2+36*x+25)/(10*x^3-1) ogf] A307764 7.5162 [-(46511*f(x)-110471420)*(10*f(x)*x^3+9600*x^2-f(x)+3600*x+2500) ogf] A307768 9.12854 [4*f(x)^2*x^2-4*f(x)^2*x+f(x)^2+4*f(x)*x+4*x^2-2*f(x) ogf] A307788 7.54179 [-1/2*(-x^2+(x^4+4*x^3-2*x^2+1)^(1/2)-2*x-1)/(2*x+1) revogf] A307788 8.56598 [f(x)^2*x^2-2*f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A307789 6.5879 [-3*f(x)^2*x+3*f(x)*x^2-x^3+f(x)^2+5*f(x)*x-3*x^2-2*f(x)-2*x+1 ogf] A307789 7.86298 [-1/2*(-3*x^2+(-x^2*(x+1)*(3*x-1))^(1/2)-5*x+2)/(3*x-1) ogf] A307791 2.10317 [-x^3-x-3+f(x) ogf] A307802 3.12598 [3-f(x) ogf] A307813 6.06543 [-8*x*(x-1)*(4*x^2+1)/(2*x+1)/(4*x-1)/(2*x-1)^3 ogf] A307849 13.666 [-(13*x^2+26*x+1)/(x+1)/(x-1)^5 ogf] A307872 14.2014 [x^2/(x+1)/(x^2+x+1)^2/(x-1)^4 ogf] A307897 6.21896 [(x^8+x^7-x^5-x^4-x^3+x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A307918 11.1674 [-(47*x^5-11*x^4+60*x^3-8*x^2+5*x+3)/(x-1)^7 ogf] A307921 15.0539 [-(x^3-12*x^2-x-12)/(x-1)^4 ogf] A307921 5.3764 [(81029376*f(x)+816243985)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-12*x^2+f(x)-x-12) ogf] A307933 6.45935 [-2*(14*x^8+15*x^7-41*x^6-73*x^5+61*x^4+84*x^3-60*x^2-96*x+60)/(x^3+2*x^2+x-1)^2/(x-1)^3 ogf] A307939 13.1862 [-2*(3*x^4+2*x^3-23*x^2+12*x-18)/(x-1)^4 ogf] A307939 5.34127 [(86292*f(x)+6901663)*(f(x)*x^4-4*f(x)*x^3+6*x^4+6*f(x)*x^2+4*x^3-4*f(x)*x-46*x^2+f(x)+24*x-36) ogf] A307966 6.53717 [x^2*(3*x^6+3*x^5+4*x^4+2*x^3+2*x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A307969 13.6048 [2*f(x)^2*x^2+2*f(x)*x+f(x)-1 ogf] A307969 20.0671 [-x/(2*x^2+2*x-1) revogf] A307970 16.3958 [x^2+x+1-f(x)+f(x)^2*x^3 ogf] A307971 14.665 [-x^3-x^2-x-1+f(x)-f(x)^2*x^4 ogf] A307978 12.4888 [1/4*exp(x)+1/4*exp(-x)-1/2*cos(x) lgdegf] A307985 7.00128 [x^2/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A307996 23.1292 [exp(x)*(2*x+1) lgdegf] A308003 5.65418 [-11*(10*x^21+10*x^20+2*x^11+11*x^10+x+10)/(x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A308005 7.05328 [-11*(x^21+x^20+20*x^11+11*x^10+10*x+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A308010 8.87826 [(x^27-x^26+x^25-x^24+x^14-x^13-x^2+3*x+1)/(x-1)^2 ogf] A308012 8.872 [(x^29-x^28+x^27-x^26+x^16-x^15+2*x^3+1)/(x-1)^2 ogf] A308014 11.1801 [-(2*x^25-2*x^23+2*x^14-2*x^13-2*x-1)/(x-1)^2 ogf] A308016 3.11457 [(x^45+x^44+x^41+x^40-x^39-x^38-x^37-x^34-x^33-x^32-x^8-x^7+x^2+x+1)/(x-1)/(x^2+x+1)/(x^37+x^32-1) ogf] A308017 3.72628 [(x^32-x^30+2*x^28+x^27+x^26+x^23+x^22-x^6-x-1)/(x+1)/(x^4-x^2+1)/(x^22+x^20+x^18-x^14-x^12+x^8+x^6-x^2-1)/(x-1)^2 ogf] A308019 10.6878 [-(2*x^29-2*x^27+2*x^18-2*x^17-2*x^7-1)/(x-1)^2 ogf] A308025 12.1384 [x^2*(2*x^3+9*x^2+10*x+9)/(x+1)^3/(x-1)^4 ogf] A308026 11.5922 [2*x^2*(x^3+6*x^2+7*x+8)/(x+1)^3/(x-1)^4 ogf] A308034 5.94126 [x^4*(3*x^5-6*x^4+6*x^3-6*x^2+3*x-2)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A308036 11.8604 [3*f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A308036 17.4941 [-x/(3*x^2-x-1) revogf] A308038 10.582 [-x^2*(x^4+3*x^3+9*x^2+5*x+4)/(x+1)^4/(x-1)^5 ogf] A308066 5.33614 [-x^5/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)^2/(x-1)^3/(x+1)^3 ogf] A308067 5.88444 [-x^2*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A308068 8.06835 [-x^4/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A308089 6.41682 [x^2*(6*x^6+6*x^5+8*x^4+5*x^3+5*x^2+3*x+3)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A308096 6.40836 [x^2*(2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A308102 6.88364 [x^8*(x^2+2*x+3)*(2*x^2+x+3)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A308107 7.73333 [x^8*(x^3+2*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A308108 8.55749 [x^8*(x^2+x+2)^2/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A308109 7.25727 [x^8*(x^4+2*x^3+4*x^2+3*x+3)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A308123 8.73821 [-x^2*(2*x^4+x^3+5*x^2-3*x+3)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A308124 16.49 [-(5*x-3)/(4*x-1)/(x-1) ogf] A308124 8.87921 [-(13*f(x)+11)*(4*f(x)*x^2-5*f(x)*x+f(x)+5*x-3) ogf] A308134 4.28943 [-(4805*f(x)+4636386)*(192*f(x)*x^4-316*f(x)*x^3+147*f(x)*x^2+180*x^3-24*f(x)*x-201*x^2+f(x)+54*x-3) ogf] A308134 7.47191 [-3*(60*x^3-67*x^2+18*x-1)/(x-1)/(4*x-1)/(3*x-1)/(16*x-1) ogf] A308136 15.9363 [-24*(4*x^2-6*x+3)/(2*x-1)^3 ogf] A308136 6.10893 [(45*f(x)-2248)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+96*x^2-f(x)-144*x+72) ogf] A308137 9.77023 [-2*(6*x^5-11*x^4-8*x^3+22*x^2-6*x-15)/(x+1)^2/(x-1)^4 ogf] A308158 6.90522 [-x^2*(x^5+x^4+x^3+x^2+1)/(x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A308159 6.48544 [-x^2*(x^6+x^5+4*x^4+x^3+2*x^2+1)/(x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A308160 9.48925 [-x^2*(x^4+2*x^2-x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A308189 10.2106 [-x*(x^6+x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^6+x^4+x^2-1) ogf] A308196 17.3044 [-(2*x^3-4*x^2-3*x-1)/(x-1)^2 ogf] A308196 8.6522 [(132*f(x)-9049)*(f(x)*x^2+2*x^3-2*f(x)*x-4*x^2+f(x)-3*x-1) ogf] A308215 8.6367 [-x*(x^5+x^4+3*x^3+5*x^2+12*x+2)/(x+1)^3/(x-1)^3 ogf] A308217 11.4582 [-(x^5-x^3-x^2+8*x+1)/(x-1)^3/(x+1)^3 ogf] A308235 4.61567 [-2*x^8*(x^10+5*x^9+17*x^8+31*x^7+56*x^6+71*x^5+94*x^4+97*x^3+90*x^2+52*x+26)/(x^2+1)^3/(x^2+x+1)^3/(x+1)^4/(x-1)^5 ogf] A308236 4.26506 [-2*x^2*(11*x^12+22*x^11+41*x^10+53*x^9+73*x^8+81*x^7+92*x^6+69*x^5+50*x^4+25*x^3+14*x^2+6*x+3)/(x^2+1)^3/(x^2+x+1)^3/(x+1)^4/(x-1)^5 ogf] A308265 8.66534 [x^2*(2*x^4+3*x^3+3*x^2+2*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A308266 8.87979 [x^2*(x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A308287 16.1601 [-(158248424769785107*x-185786062728816307)/(x-1)^2 ogf] A308287 6.78914 [(55075275918062400*f(x)+35274782608638343763288919922558249)*(f(x)*x^2-2*f(x)*x+f(x)+158248424769785107*x-185786062728816307) ogf] A308303 4.84071 [-x^4*(x^7+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)^2/(x+1)^3/(x-1)^3 ogf] A308305 13.1832 [-(x^4-2*x^3+6*x^2-3*x+1)/(x-1)^5 ogf] A308329 6.10904 [4*f(x)*x^4-17*f(x)*x^3-x^4+20*f(x)*x^2+8*x^3-8*f(x)*x-14*x^2+f(x)+7*x-1 ogf] A308329 8.55266 [(x^4-8*x^3+14*x^2-7*x+1)/(x-1)/(4*x-1)/(x^2-3*x+1) ogf] A308346 11.0765 [2*I*(Pi+I*ln(x-1))/(x-1) lgdegf] A308385 10.9858 [-(9*x^4+10*x^3+10*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A308399 8.99202 [-x^2*(x^5+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A308400 6.05982 [-x^4*(x^5-x^4+x^2-x+1)/(x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1) ogf_with_Euler_transform] A308401 8.96996 [(x^4+x^3+x^2+3)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A308417 9.45404 [-(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^3/(x+1)^3 lgdegf] A308418 7.83499 [(x^6+6*x^5+23*x^4+24*x^3+23*x^2+6*x+1)/(x-1)^4/(x+1)^4 lgdegf] A308422 12.1283 [-x*(x^4+3*x^3+6*x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A308435 5.19113 [-(10*f(x)-23)*(f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2+f(x)*x^3+3*f(x)*x^2+f(x)*x-f(x)+x+1) ogf] A308436 8.02202 [-1/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A308446 27.0545 [1/(x^2-3*x+1) ogf_with_Euler_transform] A308468 2.58941 [(x^18-x^17+x^16-x^14+x^13-x^12+x^11-x^7+x^6-x^5-x^3+2*x^2-x+3)/(x^2+1)/(x-1)^2 ogf] A308499 6.67658 [-I*(I*ln(2*x^3-6*x^2+6*x-3)-3*I*ln(x-1)-I*ln(3)-2*Pi) egf] A308517 11.6659 [-1/exp(1)/(x-1)^2*exp(-1/(x-1)) lgdegf] A308523 5.92448 [1/2*(13824*x^3+1728*x^2+54*x+1+((12*x+1)*(1+48*x)^2)^(1/2))*x/(16*x+1)^4 revogf] A308524 4.84498 [-64*f(x)^2*x^4-144*f(x)^2*x^3-12*f(x)^2*x^2-32*f(x)*x^3+37*f(x)^2*x+4*f(x)*x^2-x^3-6*f(x)^2+f(x)*x ogf] A308524 7.24525 [1/2*(-8*x-1+(-(4*x-1)*(2*x-1)^2)^(1/2))*x/(x+2)/(4*x+3)/(4*x-1) ogf] A308525 6.96076 [-(53*x^31-53*x^30+29*x^16-29*x^15+16*x^8-16*x^7+9*x^4-9*x^3+5*x^2+x-7)/(x-1)^2 ogf] A308536 26.2189 [-2*exp(2*x) lgdegf] A308543 24.2868 [4*exp(2*x) lgdegf] A308579 14.9746 [(x^2-3*x-1)/(2*x-1)/(x-1)^2 ogf] A308579 6.90133 [(157*f(x)-355)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-x^2-f(x)+3*x+1) ogf] A308580 12.8231 [-(7*x^3-11*x^2+9*x-3)/(2*x-1)/(x-1)^3 ogf] A308580 5.83673 [-(13*f(x)+233)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+7*x^3-5*f(x)*x-11*x^2+f(x)+9*x-3) ogf] A308585 15.3669 [-2*x*(2*x+3)/(2*x-1)/(x-1)^2 ogf] A308585 7.08216 [(14705*f(x)-37084)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+4*x^2-f(x)+6*x) ogf] A308589 14.3384 [-x*(x+3)/(x^3+x^2+2*x-1) ogf] A308589 7.93484 [-f(x)*(f(x)*x^3+f(x)*x^2+2*f(x)*x+x^2-f(x)+3*x) ogf] A308591 9.1693 [x*(x^5-x^3-x^2-5*x-3)/(x^3-x^2+2*x-1)/(x+1)^2 ogf] A308592 12.2108 [-(5*x^2+2*x+1)/(2*x^3+3*x^2+2*x-1) ogf] A308592 6.71044 [(f(x)+1)*(2*f(x)*x^3+3*f(x)*x^2+2*f(x)*x+5*x^2-f(x)+2*x+1) ogf] A308599 6.04033 [(exp(x)*x^4-4*exp(x)*x^3+6*exp(x)*x^2-4*exp(x)*x+exp(x)+3*x+1)/(x-1)^4 egf] A308600 17.0505 [-(8*x^4+x^2-x+2)/(x-1)^3 ogf] A308600 7.00525 [-(1025*f(x)-7809)*(f(x)*x^3+8*x^4-3*f(x)*x^2+3*f(x)*x+x^2-f(x)-x+2) ogf] A308602 21.3016 [(x^2-7*x+8)/(x-1)^2 ogf] A308602 9.29112 [(4*f(x)+49)*(f(x)*x^2-2*f(x)*x-x^2+f(x)+7*x-8) ogf] A308603 15.5708 [3*(x^2-7*x+8)/(x-1)^2 ogf] A308603 9.59846 [-f(x)*x^2+2*f(x)*x+3*x^2-f(x)-21*x+24 ogf] A308604 13.0088 [(8*x^6-12*x^5-8*x^4-x^2+x-2)/(x-1)^3 ogf] A308606 5.70319 [1/2*(2*exp(x)*x^4-8*exp(x)*x^3+12*exp(x)*x^2-8*exp(x)*x+3*x^2+2*exp(x)-2*x+2)/(x-1)^4 egf] A308607 18.7777 [2*(x^2-7*x+8)/(x-1)^2 ogf] A308607 8.80206 [(2*f(x)+49)*(f(x)*x^2-2*f(x)*x-2*x^2+f(x)+14*x-16) ogf] A308616 16.3775 [f(x)^2*x^4+f(x)*x^3-f(x)+1 ogf] A308620 5.98687 [(x^10-x^8+x^6-4*x^5+3*x^3-2*x^2-2*x+2)/(x^5+x^2-1)/(x^5-x^2+2*x-1) ogf] A308625 5.99906 [x^2*(2*x^12-x^10-2*x^9+3*x^8-x^7-x^6-x^5+2*x^4-x^3-x^2+x-1)/(x-1) ogf] A308626 6.23658 [-x^2*(x^13-4*x^12+2*x^11+2*x^10-3*x^9+2*x^8-x^7+2*x^5-2*x^4+x^3+x^2-x+1)/(x-1) ogf] A308628 5.54283 [x^2*(2*x^13-x^11-2*x^10+3*x^9-x^8-2*x^7+4*x^6-3*x^5-x^4+2*x^3-2*x^2+x-1)/(x-1) ogf] A308645 23.6368 [1-2*exp(2*x) lgdegf] A308659 3.42193 [-(4*x^12+2*x^11+x^10+x^9+2*x^8+3*x^7+3*x^6+x^5+3*x^4+x^3+2*x^2+x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A308700 14.7536 [-2*x^2*(3*x-1)/(4*x-1)^2/(2*x-1)^2 ogf] A308700 7.04453 [64*f(x)*x^4-96*f(x)*x^3+52*f(x)*x^2+6*x^3-12*f(x)*x-2*x^2+f(x) ogf] A308709 10.3938 [-(6*x^3+2*x^2+x+3)/(2*x^2-1)/(2*x^2+1) ogf] A308709 8.82264 [(40*f(x)-109)*(4*f(x)*x^4+6*x^3+2*x^2-f(x)+x+3) ogf] A308729 7.00447 [1/2*(I*Pi-ln(x-1))*(I*Pi-ln(x-1)+4)/(x-1)^2 egf] A308733 10.773 [-x^4/(x^2+x+1)/(x^2+1)^2/(x+1)^3/(x-1)^5 ogf] A308747 8.70021 [(x^4+x^3-2*x^2+x+1)/(x^2+x-1)/(x^2-x-1)/(x-1)^2 ogf] A308758 6.34016 [-x^4*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A308759 6.30921 [-x^4*(2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A308760 6.27518 [-x^4*(3*x^6+4*x^5+6*x^4+5*x^3+4*x^2+2*x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A308775 6.24909 [-x^4*(6*x^6+7*x^5+10*x^4+8*x^3+8*x^2+5*x+4)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^5 ogf] A308807 12.3257 [-(4*x^2-13*x+5)/(5*x-1)/(x-1)^2 ogf] A308807 5.71914 [(1331216*f(x)+1778631)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-13*x+5) ogf] A308808 10.5398 [-(x+1)*(x^2+1)/(x^5+2*x^4+x^3+x^2+x-1) ogf] A308808 6.09442 [f(x)^2*(f(x)*x^5+2*f(x)*x^4+f(x)*x^3+f(x)*x^2+x^3+f(x)*x+x^2-f(x)+x+1) ogf] A308823 7.46562 [x^5/(x^2+1)/(x^2+x+1)/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x-1)^6 ogf] A308824 7.09825 [x^5*(x^6+x^3+1)/(x^2+1)^2/(x^4+x^3+x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A308825 4.17503 [x^5*(2*x^10+4*x^9+6*x^8+7*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^2+x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^2+1)^2/(x+1)^3/(x-1)^6 ogf] A308876 12.1434 [(2*x^2-3*x+2)/(2*x-1)/(x-1) lgdegf] A308900 15.1528 [-(7*x+1)/(x+1)/(10*x^2-1) ogf] A308900 7.11524 [-(2076*f(x)-2095)*(10*f(x)*x^3+10*f(x)*x^2-f(x)*x-f(x)+7*x+1) ogf] A308914 14.3027 [(x-1)*(2*x^2-3*x+2)/(2*x-1)^5 ogf] A308939 12.7187 [-(-4*x+2+(-2*x+1)^(1/2))/(8*x-3) egf] A308939 9.41516 [-8*f(x)^2*x+3*f(x)^2+8*f(x)*x-4*f(x)-2*x+1 egf] A309000 13.3182 [(5*x-3)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A309037 3.43852 [-(5208770853*f(x)+464928005)*(2000*f(x)*x^3-2120*f(x)*x^2+121*f(x)*x-200*x^2-f(x)+2) ogf] A309037 6.08353 [2*(10*x-1)*(10*x+1)/(x-1)/(20*x-1)/(100*x-1) ogf] A309073 6.81664 [2*(137*x^30-121*x^29+337*x^28-353*x^27+3*x^6+x^5+31*x^4-35*x^3+10*x-13)/(x-1) ogf] A309075 3.85383 [-2*x*(x+1)*(x^2-x+1)*(x^4+1)*(x^2+1)^2/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^6-x^5+x^4-x^3+x^2-x+1) ogf] A309083 5.0028 [(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A309084 31.6307 [-3*exp(x) lgdegf] A309085 31.1158 [-4*exp(x) lgdegf] A309092 9.1893 [-(4079*x^16-4096*x^15-4352)/(x^16+16*x^15+17)/(x-1)^2 ogf] A309117 5.25061 [-(x-1)*(x+1)*(x^4-x^3-5*x^2-x+1)/(x^4-3*x^3-3*x^2+x+1)/(x^4+x^3-3*x^2-3*x+1) ogf] A309118 11.3538 [-6*(x^5-x^4-x^3-x-1)/(x-1)^2/(x+1)^2 ogf] A309127 4.94882 [(17*x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A309214 11.7492 [x*(x^2+2*x-1)/(x-1)/(x^2+1)^2 ogf] A309215 11.5955 [-x*(x^2+2*x-1)/(x-1)/(x^2+1)^2 ogf] A309240 8.37963 [(x^6-2*x^5-x^4+x^3+x^2-x-1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A309250 8.27091 [-(x^22+x^7+x^5-x^3-x^2-x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A309266 14.7365 [-(x^3-x^2+3)/(x-1)/(x+1) ogf_with_Euler_transform] A309267 15.6826 [-(x-2)*(x^2-x+1)/(x-1)^2 ogf_with_Euler_transform] A309294 14.2543 [-x^2*(4*x^3-4*x^2+1)/(2*x-1)^3 ogf] A309295 7.85095 [-x^2*(8*x^8-4*x^5+8*x^4-10*x^3+3*x^2+2*x-1)/(2*x-1)^3/(2*x^3-1)^3 ogf] A309296 10.8248 [-x^3*(8*x^5-4*x^4-2*x^3+2*x^2-2*x+1)/(2*x-1)^3 ogf] A309300 7.31886 [-x^4*(16*x^9-8*x^8+4*x^7-6*x^6+2*x^5+4*x^4-5*x^3+4*x^2-3*x+1)/(2*x-1)^3 ogf] A309303 5.67617 [-f(x)^2*x^3-3*f(x)^2*x^2-3*f(x)^2*x+f(x)*x^2-f(x)^2+2*f(x)*x+f(x)-x ogf] A309303 8.89967 [-1/2*(-x-1+(-(3*x-1)*(x+1))^(1/2))/(x+1)^2 ogf] A309315 19.0591 [-60/(3*x-1)/(x+1) ogf] A309315 8.42148 [(61*f(x)-2700)*(3*f(x)*x^2+2*f(x)*x-f(x)+60) ogf] A309330 11.9507 [6*(x+1)/(x^2-38*x+1) ogf] A309330 6.10816 [(740*f(x)+123)*(f(x)*x^2-38*f(x)*x+f(x)-6*x-6) ogf] A309331 8.65832 [-x*(x^2+x+1)*(x^2-x+1)/(x^5+3*x^3+x-1) ogf] A309335 9.61233 [x*(x^2+x+1)*(x^4+6*x^3+16*x^2+6*x+1)/(x+1)^4/(x-1)^4 ogf] A309336 7.35791 [-x*(x^8+15*x^7+76*x^6+165*x^5+230*x^4+165*x^3+76*x^2+15*x+1)/(x-1)^5/(x+1)^5 ogf] A309337 9.8213 [x*(x^6+6*x^5+23*x^4+24*x^3+23*x^2+6*x+1)/(x-1)^4/(x+1)^4 ogf] A309338 7.35791 [-x*(x^8+14*x^7+76*x^6+154*x^5+230*x^4+154*x^3+76*x^2+14*x+1)/(x-1)^5/(x+1)^5 ogf] A309372 15.5848 [-x*(3*x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A309379 9.09623 [12*(2*x^4-4*x^3-6*x^2+9*x-3)/(x-1)/(x+1)^2/(2*x-1)^2 ogf] A309380 8.34239 [60*(6*x^4-4*x^3-17*x^2+14*x-3)/(2*x-1)/(x+1)^2/(3*x-1)^2 ogf] A309398 12.5471 [-(x^39+x^14+x^5+x+1)/(x-1) ogf] A309462 11.8056 [-(x^2+x+1)/(x^4+2*x^3+x^2+x-1) ogf] A309462 6.31465 [(3*f(x)-1)*(f(x)*x^4+2*f(x)*x^3+f(x)*x^2+f(x)*x+x^2-f(x)+x+1) ogf] A309490 7.16969 [1/2*exp(x)*(exp(-x)*x^2-2*exp(-x)*x-2*x^2-2*exp(-x)+2*x+2)/(x-1)^2 egf] A309492 8.20658 [-(3*x^8-6*x^7+7*x^6-4*x^5+2*x^4-2*x^3-3*x^2-1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A309496 4.73345 [-(2*x^21-2*x^20-2*x^18+2*x^17+3*x^16+x^13-2*x^11-x^10-3*x^9+2*x^8-x^7+3*x^6+x^4-5*x^3-6*x^2-3*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A309511 6.07032 [-x^3*(x^5+x^4+2*x^2-x+3)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A309512 4.04978 [x^3*(x^13+3*x^12+x^11+9*x^10-x^9+19*x^8+18*x^6+x^5+13*x^4-x^3+7*x^2-x+3)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A309513 6.12612 [-x^4*(2*x^4-x^3+3*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A309515 4.77436 [2*x^4*(x^12-x^11+4*x^10+7*x^8+9*x^6+9*x^4+5*x^2+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A309516 5.00481 [x^4*(2*x^6-3*x^5+4*x^4-2*x^3+4*x^2-5*x+4)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x+1)^2/(x-1)^4 ogf] A309518 5.61027 [x^5*(2*x^4-3*x^3+3*x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+1)/(x-1)^4 ogf] A309523 5.26008 [-(14*x^10-12*x^9+10*x^8-15*x^6+18*x^5-15*x^4-2*x^2-6*x-1)/(x-1)/(x^2+1)/(2*x^4-1)/(2*x^4+1) ogf] A309599 2.2136 [-(f(x)-1)^3 ogf] A309617 10.199 [(x^9-100*x^8+100*x^7-100*x^6+100*x^5-2790*x^4+3691*x^3-10*x+113)/(x-1)^2 ogf] A309683 9.96078 [-x^3/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A309684 6.90045 [x^3*(x^2+1)*(x^4-x^2+1)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A309685 9.74024 [-x^6/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A309686 9.81629 [2*x^6/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A309687 6.0038 [-x^3*(x^4-x^3+x^2-x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A309688 4.06836 [x^3*(x^4+x^3+x^2+x+1)*(x^8-2*x^7+3*x^6-4*x^5+6*x^4-4*x^3+3*x^2-2*x+1)/(x+1)^2/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^4 ogf] A309689 8.30574 [-x^5/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A309690 4.81137 [2*x^5*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x+1)^2/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x-1)^4 ogf] A309692 4.26284 [x^3*(3*x^12+8*x^10-3*x^9+14*x^8-3*x^7+14*x^6-2*x^5+10*x^4-x^3+4*x^2-x+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A309694 4.1526 [2*x^4*(x^12-x^11+3*x^10-x^9+6*x^8-x^7+7*x^6-x^5+6*x^4-x^3+3*x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A309708 7.38597 [-x^4*(x^8+1)/(x^2+x+1)/(x^2+1)^2/(x^4+1)^2/(x+1)^3/(x-1)^5 ogf] A309711 8.39697 [-2*x^8/(x^2+x+1)/(x^2+1)^2/(x^4+1)^2/(x+1)^3/(x-1)^5 ogf] A309712 4.98442 [x^4*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A309715 7.21206 [x^7/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A309717 10.8662 [-x^3/(x^2+2*x-1)/(x^2+3*x-1)/(x^2+x-1) ogf] A309775 25.7157 [1-2*exp(x) lgdegf] A309779 18.236 [-4*f(x)*x+f(x)-25 ogf] A309779 29.4581 [-25/(4*x-1) ogf] A309791 10.0182 [-(18*x^4-12*x^3+6*x^2-8*x-1)/(x-1)/(3*x^2+1)/(3*x^2-1) ogf] A309792 10.1011 [-(10*x^4-4*x^3+3*x^2-6*x-2)/(x-1)/(2*x^2-1)/(2*x^2+1) ogf] A309793 6.18913 [x^4*(x^4-x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A309795 5.94142 [x^6*(x^4-x^3+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A309805 12.9479 [-(x^3+3*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A309809 15.3513 [-(360*x^5-450*x^4+x-13)/(x-1)^2 ogf] A309827 4.66707 [(5726116473*f(x)-2900776775)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+250*x^2-f(x)+145*x+1) ogf] A309827 8.65863 [-(250*x^2+145*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A309831 5.21925 [-x^10/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+1)/(x+1)^3/(x-1)^5 ogf] A309842 18.3972 [-12*(2*x^2-5*x+5)/(x-1)^3 ogf] A309842 7.17178 [(107*f(x)+279)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+24*x^2-f(x)-60*x+60) ogf] A309846 2.72544 [-x^4*(2*x^3-2*x^2+2*x-1)/(2*x-1)/(2*x^2-1)/(2*x^2-2*x+1) ogf] A309860 5.5418 [(f(x)*x-f(x)+1)^2 ogf] A309861 8.39346 [(f(x)*x-f(x)+1)^2 ogf] A309862 4.25195 [(f(x)*x-f(x)+1)^2 ogf] A309863 5.47189 [(f(x)*x-f(x)+1)^2 ogf] A309864 6.97884 [(f(x)*x-f(x)+1)^2 ogf] A309874 6.9584 [-2*(x^5+3*x^4-2*x^3-3*x^2+x+1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A309878 12.6681 [-x*(2*x-1)/(2*x^2-2*x+1)/(x-1)^2 ogf] A309878 6.18202 [(5*f(x)-2)*(2*f(x)*x^4-6*f(x)*x^3+7*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-x) ogf] A309879 3.83026 [-x^5*(x^2-x+1)*(x^6-x^3+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^5 ogf] A309881 4.82331 [-x^9/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^5 ogf] A309907 4.73422 [(9384714537*f(x)-1429307788)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+40*x^2-f(x)+58*x+1) ogf] A309907 8.89265 [-(40*x^2+58*x+1)/(x-1)/(100*x-1)/(10*x-1) ogf] A309967 4.53761 [-(2*x^19-2*x^18+3*x^16-3*x^15-6*x^14+3*x^13-3*x^12+3*x^10+12*x^9-3*x^8-2*x^6-4*x^5-8*x^4-3*x^3-2*x^2-x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A309970 7.33471 [f(x)*x^4-f(x)*x^2+x^3+x^2+f(x)-x-1 ogf] A309970 9.49905 [-(x-1)*(x+1)^2/(x^4-x^2+1) ogf] A309976 7.70009 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-f(x)^2-2*f(x)*x+f(x)+x ogf] A309998 6.14318 [x*(184*x^9+5*x^8+151*x^7+5*x^6+184*x^5-828*x^4-19*x^3-453*x^2-11*x-276)/(x-1)/(x^10-6*x^5+1) ogf] A310007 3.33551 [-(2*x^16-4*x^15+3*x^14-5*x^13+5*x^12-12*x^11+3*x^10-12*x^9+2*x^8-9*x^7-8*x^5-3*x^4-4*x^3-x^2-x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310025 3.35901 [-(2*x^16-4*x^15+3*x^14-5*x^13+4*x^12-11*x^11+4*x^10-12*x^9+2*x^8-11*x^7-8*x^5-2*x^4-3*x^3-2*x^2-x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310039 3.21483 [-(2*x^14-6*x^13+7*x^12-6*x^11+x^10-x^9-x^8-4*x^7+4*x^6-6*x^5+3*x^4-3*x^3-x^2-1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A310040 3.30261 [-(2*x^16-4*x^15+3*x^14-5*x^13+4*x^12-12*x^11+2*x^10-13*x^9+x^8-10*x^7-x^6-9*x^5-4*x^4-4*x^3-2*x^2-x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310066 3.32814 [-(x^2-x+1)*(x^17-2*x^16+x^15+x^14-2*x^13+2*x^12-x^11-2*x^10+2*x^9-3*x^8-2*x^5-x^3-x^2-1)*(x+1)^2/(x-1)^2/(x^6+x^3+1)^2 ogf] A310068 4.45607 [(x+1)^2*(x^2+x+1)^2*(x^2-x+1)^2/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A310068 5.38294 [(x+1)^2*(x^2+x+1)^2*(x^2-x+1)^2/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A310089 4.55953 [(x+1)*(x^9+2*x^8+5*x^7+5*x^6+8*x^5+6*x^4+7*x^3+4*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310089 5.16509 [(x+1)*(x^9+2*x^8+5*x^7+5*x^6+8*x^5+6*x^4+7*x^3+4*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310090 3.30868 [(x^15+2*x^14+5*x^13+5*x^12+8*x^11+10*x^10+10*x^9+13*x^8+11*x^7+12*x^6+10*x^5+6*x^4+7*x^3+4*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310096 4.05428 [(x^2+1)*(x^9+2*x^8+4*x^7+4*x^6+4*x^5+5*x^4+5*x^3+3*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2-x+1)^2/(x^2+x+1)^2 ogf] A310100 3.82362 [(x^13+2*x^12+4*x^11+4*x^10+5*x^9+6*x^8+7*x^7+7*x^6+6*x^5+5*x^4+5*x^3+3*x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A310102 3.71533 [(x^10+3*x^9+6*x^8+11*x^7+15*x^6+15*x^5+15*x^4+11*x^3+6*x^2+3*x+1)*(x^4+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310102 3.95859 [(x^10+3*x^9+6*x^8+11*x^7+15*x^6+15*x^5+15*x^4+11*x^3+6*x^2+3*x+1)*(x^4+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310117 3.37243 [(x^14+3*x^13+7*x^12+12*x^11+17*x^10+20*x^9+23*x^8+24*x^7+23*x^6+21*x^5+18*x^4+11*x^3+6*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310117 4.07502 [(x^14+3*x^13+7*x^12+12*x^11+17*x^10+20*x^9+23*x^8+24*x^7+23*x^6+21*x^5+18*x^4+11*x^3+6*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310118 4.15202 [(x^2+x+1)*(x^12+2*x^10+2*x^9+3*x^8-x^7+7*x^6-x^5+3*x^4+2*x^3+2*x^2+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310146 2.4302 [(x^6+x^4-2*x^3+x^2+1)*(x^6+x^5+x^4+x^3+x^2+x+1)*(x^2+1)*(x+1)^2/(x^2+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310153 2.98736 [-(x^20-2*x^19+2*x^18-2*x^17-2*x^13-x^11-x^10+x^9-x^8-2*x^7+2*x^6-2*x^5-x^4-x^2-1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A310165 3.32522 [(x^15+2*x^14+4*x^13+6*x^12+9*x^11+8*x^10+12*x^9+11*x^8+13*x^7+10*x^6+10*x^5+9*x^4+5*x^3+4*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310184 3.33905 [(x^15+2*x^14+5*x^13+5*x^12+8*x^11+8*x^10+14*x^9+9*x^8+15*x^7+11*x^6+8*x^5+8*x^4+5*x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310185 4.43017 [(x^9+3*x^8+7*x^7+9*x^6+12*x^5+10*x^4+9*x^3+7*x^2+3*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310185 5.43866 [(x^9+3*x^8+7*x^7+9*x^6+12*x^5+10*x^4+9*x^3+7*x^2+3*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310190 3.80151 [(x^13+2*x^12+4*x^11+3*x^10+7*x^9+4*x^8+9*x^7+5*x^6+8*x^5+5*x^4+3*x^3+4*x^2+2*x+1)/(x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A310198 3.2632 [(x^2-x+1)*(x^12+4*x^11+10*x^10+17*x^9+20*x^8+23*x^7+24*x^6+23*x^5+20*x^4+17*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310198 3.98188 [(x^2-x+1)*(x^12+4*x^11+10*x^10+17*x^9+20*x^8+23*x^7+24*x^6+23*x^5+20*x^4+17*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310215 5.05915 [(x^7+2*x^6+6*x^5+5*x^4+7*x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A310215 6.1731 [(x^7+2*x^6+6*x^5+5*x^4+7*x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A310218 3.35316 [(x^14+3*x^13+7*x^12+12*x^11+16*x^10+21*x^9+23*x^8+24*x^7+25*x^6+21*x^5+14*x^4+12*x^3+7*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310218 4.05173 [(x^14+3*x^13+7*x^12+12*x^11+16*x^10+21*x^9+23*x^8+24*x^7+25*x^6+21*x^5+14*x^4+12*x^3+7*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310219 3.159 [-(x^14+x^12-x^11-x^10-4*x^9-5*x^8-8*x^7-8*x^6-7*x^5-8*x^4-7*x^3-5*x^2-2*x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310223 3.14781 [(x^14+2*x^13+5*x^12+7*x^11+8*x^10+9*x^9+9*x^8+12*x^7+9*x^6+9*x^5+8*x^4+7*x^3+5*x^2+2*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310232 4.00462 [(x^11+2*x^10+6*x^9+5*x^8+11*x^7+8*x^6+12*x^5+8*x^4+7*x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310233 3.6207 [(x^2+x+1)*(x^13+x^12+4*x^11+7*x^9+x^8+8*x^7+2*x^6+7*x^5+2*x^4+3*x^3+3*x^2+x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310235 3.82411 [(x^2+x+1)*(x^2-x+1)*(x^10+x^9+3*x^8+2*x^7+x^6+5*x^5+x^4+2*x^3+3*x^2+x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310238 4.05091 [(x^2+1)*(x^8+x^7+2*x^6+x^5+x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310244 3.36976 [(x^15+2*x^14+5*x^13+7*x^12+11*x^11+11*x^10+16*x^9+13*x^8+17*x^7+14*x^6+13*x^5+9*x^4+7*x^3+5*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310245 3.28165 [(x^2-x+1)*(x^14+3*x^13+6*x^12+9*x^11+9*x^10+11*x^9+12*x^8+12*x^7+12*x^6+11*x^5+9*x^4+9*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x-1)^2/(x^6+x^3+1)^2 ogf] A310252 4.60395 [(x^10+3*x^9+7*x^8+13*x^7+15*x^6+16*x^5+15*x^4+13*x^3+7*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310252 5.28734 [(x^10+3*x^9+7*x^8+13*x^7+15*x^6+16*x^5+15*x^4+13*x^3+7*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310253 3.84572 [(x^14+x^13+4*x^12+4*x^11+3*x^10+10*x^9+3*x^8+11*x^7+3*x^6+10*x^5+3*x^4+4*x^3+4*x^2+x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310267 4.77537 [(x+1)*(x^9+2*x^8+6*x^7+8*x^6+9*x^5+9*x^4+9*x^3+5*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310267 5.40959 [(x+1)*(x^9+2*x^8+6*x^7+8*x^6+9*x^5+9*x^4+9*x^3+5*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310268 4.00195 [(x^14+x^13+5*x^12+3*x^11+6*x^10+7*x^9+8*x^8+8*x^7+8*x^6+8*x^5+4*x^4+5*x^3+4*x^2+x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310269 4.66227 [(x^10+x^9+4*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+4*x^2+x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310270 4.67342 [(x^9+x^8+4*x^7+3*x^6+5*x^5+3*x^4+5*x^3+3*x^2+x+1)/(x+1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A310273 3.56922 [(x^2+1)*(x^2+x+1)*(x^10+2*x^9+3*x^8+6*x^7+5*x^6+3*x^5+5*x^4+6*x^3+3*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310273 4.12160 [(x^2+1)*(x^2+x+1)*(x^10+2*x^9+3*x^8+6*x^7+5*x^6+3*x^5+5*x^4+6*x^3+3*x^2+2*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310274 3.91202 [(x+1)*(x^9+2*x^8+4*x^7+4*x^6+3*x^5+4*x^4+5*x^3+3*x^2+2*x+1)*(x^2+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310274 4.12160 [(x+1)*(x^9+2*x^8+4*x^7+4*x^6+3*x^5+4*x^4+5*x^3+3*x^2+2*x+1)*(x^2+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310275 4.51387 [(x^12+x^11+3*x^10+4*x^9+3*x^8+5*x^7+4*x^6+5*x^5+3*x^4+4*x^3+3*x^2+x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A310279 3.02134 [-(x^15-x^14+2*x^13-x^12-x^11+x^10-6*x^9-4*x^8-7*x^7-6*x^6-10*x^5-6*x^4-5*x^3-6*x^2-2*x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310294 3.12962 [-(x^14+x^11-x^10-x^9-x^8-3*x^7-7*x^6-4*x^5-4*x^4-5*x^3-5*x^2-2*x-1)*(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310319 3.86731 [(x^10+2*x^9+7*x^8+5*x^7+6*x^6+12*x^5+6*x^4+5*x^3+7*x^2+2*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310319 4.22987 [(x^10+2*x^9+7*x^8+5*x^7+6*x^6+12*x^5+6*x^4+5*x^3+7*x^2+2*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310325 3.934 [-(3*x^16+3*x^14+3*x^13+3*x^12-9*x^10-6*x^9-10*x^8-3*x^7-9*x^6-12*x^5-13*x^4-15*x^3-9*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310325 4.32254 [-(3*x^16+3*x^14+3*x^13+3*x^12-9*x^10-6*x^9-10*x^8-3*x^7-9*x^6-12*x^5-13*x^4-15*x^3-9*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310326 3.4085 [(x^11+3*x^10+12*x^9+12*x^8+14*x^7+18*x^6+18*x^5+14*x^4+15*x^3+9*x^2+3*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310326 4.68378 [(x^11+3*x^10+12*x^9+12*x^8+14*x^7+18*x^6+18*x^5+14*x^4+15*x^3+9*x^2+3*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310331 4.86951 [(x^8+2*x^7+7*x^6+11*x^5+6*x^4+11*x^3+7*x^2+2*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310334 3.84682 [(x^10+2*x^9+4*x^8-3*x^7+14*x^6-6*x^5+14*x^4-3*x^3+4*x^2+2*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310334 4.30080 [(x^10+2*x^9+4*x^8-3*x^7+14*x^6-6*x^5+14*x^4-3*x^3+4*x^2+2*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310337 3.66364 [(x^12+5*x^11+15*x^10+24*x^9+42*x^8+52*x^7+60*x^6+52*x^5+42*x^4+24*x^3+15*x^2+5*x+1)/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310339 3.29728 [(x^14+3*x^13+7*x^12+4*x^11+15*x^10+4*x^9+23*x^8+4*x^7+23*x^6+4*x^5+15*x^4+4*x^3+7*x^2+3*x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310341 4.93858 [(x^8+3*x^7+6*x^6+2*x^5+6*x^4+2*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310341 6.38844 [(x^8+3*x^7+6*x^6+2*x^5+6*x^4+2*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310342 6.38844 [(x^6+3*x^5+6*x^4+2*x^3+6*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310342 7.48753 [(x^6+3*x^5+6*x^4+2*x^3+6*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310343 3.55638 [-(4*x^15-x^12-4*x^11-14*x^10-16*x^9-22*x^8-24*x^7-30*x^6-24*x^5-18*x^4-12*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310343 4.42870 [-(4*x^15-x^12-4*x^11-14*x^10-16*x^9-22*x^8-24*x^7-30*x^6-24*x^5-18*x^4-12*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310347 3.44723 [(x^15+3*x^14+7*x^13+6*x^12+12*x^11+9*x^10+17*x^9+14*x^8+18*x^7+14*x^6+11*x^5+11*x^4+6*x^3+7*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310348 3.764 [(x^12+4*x^11+10*x^10+13*x^9+18*x^8+23*x^7+25*x^6+23*x^5+17*x^4+13*x^3+10*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310348 4.64227 [(x^12+4*x^11+10*x^10+13*x^9+18*x^8+23*x^7+25*x^6+23*x^5+17*x^4+13*x^3+10*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310349 4.49252 [(x^9+4*x^8+10*x^7+12*x^6+14*x^5+13*x^4+12*x^3+10*x^2+4*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310349 5.48299 [(x^9+4*x^8+10*x^7+12*x^6+14*x^5+13*x^4+12*x^3+10*x^2+4*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310355 3.8688 [(x^10+4*x^9+10*x^8+13*x^7+17*x^6+21*x^5+17*x^4+13*x^3+10*x^2+4*x+1)/(x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A310355 5.07429 [(x^10+4*x^9+10*x^8+13*x^7+17*x^6+21*x^5+17*x^4+13*x^3+10*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A310358 4.66835 [(x^8+3*x^7+7*x^6+5*x^5+10*x^4+5*x^3+7*x^2+3*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310358 5.38655 [(x^8+3*x^7+7*x^6+5*x^5+10*x^4+5*x^3+7*x^2+3*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310361 3.55458 [(x^12+4*x^11+9*x^10+10*x^9+7*x^8+14*x^7+21*x^6+14*x^5+7*x^4+10*x^3+9*x^2+4*x+1)*(x^2+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310361 4.11913 [(x^12+4*x^11+9*x^10+10*x^9+7*x^8+14*x^7+21*x^6+14*x^5+7*x^4+10*x^3+9*x^2+4*x+1)*(x^2+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310365 3.95648 [(x^14+2*x^13+5*x^12+2*x^11+8*x^10+3*x^9+12*x^8+4*x^7+13*x^6+2*x^5+8*x^4+2*x^3+5*x^2+2*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310367 3.33177 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310367 4.76945 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310368 4.37950 [(x^10+2*x^9+4*x^8+4*x^6+4*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310368 4.52169 [(x^10+2*x^9+4*x^8+4*x^6+4*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310369 4.64227 [(x^10+3*x^9+6*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310369 5.48299 [(x^10+3*x^9+6*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310370 5.23564 [(x^8+2*x^7+4*x^6+4*x^4+4*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A310370 6.63181 [(x^8+2*x^7+4*x^6+4*x^4+4*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A310371 3.35049 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310371 4.79625 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310372 4.96633 [(x^8+3*x^7+6*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310372 6.42433 [(x^8+3*x^7+6*x^6+4*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310373 4.19482 [(x^10+3*x^9+6*x^8+3*x^7+x^6-x^5+x^4+3*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310373 4.37950 [(x^10+3*x^9+6*x^8+3*x^7+x^6-x^5+x^4+3*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310374 3.35049 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310374 4.79625 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310375 4.19313 [(x^10+2*x^9+4*x^8+4*x^6+x^5+4*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310375 4.32254 [(x^10+2*x^9+4*x^8+4*x^6+x^5+4*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310376 3.35049 [(x^12+4*x^11+11*x^10+17*x^9+25*x^8+30*x^7+32*x^6+30*x^5+25*x^4+17*x^3+11*x^2+4*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310378 3.46879 [(x^10+x^9+3*x^8-3*x^7+7*x^6-5*x^5+7*x^4-3*x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310378 4.82304 [(x^10+x^9+3*x^8-3*x^7+7*x^6-5*x^5+7*x^4-3*x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310379 4.21655 [(x^10+2*x^9+4*x^8+4*x^6+2*x^5+4*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310379 4.34669 [(x^10+2*x^9+4*x^8+4*x^6+2*x^5+4*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310380 3.36921 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310380 4.82304 [(x^12+3*x^11+6*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310382 3.52277 [-(2*x^15-2*x^13+2*x^12+2*x^11-4*x^10-2*x^9+x^8-4*x^7-13*x^6-10*x^5-8*x^4-10*x^3-9*x^2-4*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A310382 4.18980 [-(2*x^15-2*x^13+2*x^12+2*x^11-4*x^10-2*x^9+x^8-4*x^7-13*x^6-10*x^5-8*x^4-10*x^3-9*x^2-4*x-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A310385 3.55638 [-(2*x^13-3*x^12-2*x^11-14*x^10-10*x^9-22*x^8-26*x^7-26*x^6-26*x^5-18*x^4-14*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310385 4.42870 [-(2*x^13-3*x^12-2*x^11-14*x^10-10*x^9-22*x^8-26*x^7-26*x^6-26*x^5-18*x^4-14*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310387 3.68554 [-(2*x^13-3*x^12-2*x^11-14*x^10-12*x^9-19*x^8-20*x^7-20*x^6-22*x^5-17*x^4-14*x^3-10*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310387 4.19313 [-(2*x^13-3*x^12-2*x^11-14*x^10-12*x^9-19*x^8-20*x^7-20*x^6-22*x^5-17*x^4-14*x^3-10*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310389 4.04692 [-(2*x^11+x^10-4*x^9-24*x^8-48*x^7-69*x^6-76*x^5-63*x^4-42*x^3-20*x^2-6*x-1)/(x^2+1)/(x^2+x+1)^2/(x-1)^2/(x+1)^2 ogf] A310392 3.80629 [(x^12+4*x^11+10*x^10+14*x^9+18*x^8+28*x^7+26*x^6+28*x^5+18*x^4+14*x^3+10*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310392 4.69443 [(x^12+4*x^11+10*x^10+14*x^9+18*x^8+28*x^7+26*x^6+28*x^5+18*x^4+14*x^3+10*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310393 4.21839 [(x^10+3*x^9+6*x^8+3*x^7+2*x^6-2*x^5+2*x^4+3*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310393 4.40410 [(x^10+3*x^9+6*x^8+3*x^7+2*x^6-2*x^5+2*x^4+3*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310394 3.41586 [(x^14+4*x^13+10*x^12+14*x^11+19*x^10+24*x^9+29*x^8+31*x^7+29*x^6+23*x^5+19*x^4+14*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310394 4.11913 [(x^14+4*x^13+10*x^12+14*x^11+19*x^10+24*x^9+29*x^8+31*x^7+29*x^6+23*x^5+19*x^4+14*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310395 3.41586 [(x^14+4*x^13+10*x^12+14*x^11+19*x^10+24*x^9+29*x^8+30*x^7+30*x^6+23*x^5+19*x^4+14*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310395 4.11913 [(x^14+4*x^13+10*x^12+14*x^11+19*x^10+24*x^9+29*x^8+30*x^7+30*x^6+23*x^5+19*x^4+14*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310396 3.36921 [(x^12+3*x^11+6*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310396 4.82304 [(x^12+3*x^11+6*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310397 5.29447 [(x^8+2*x^7+4*x^6+5*x^4+4*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A310397 6.70633 [(x^8+2*x^7+4*x^6+5*x^4+4*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A310398 3.89041 [(x^2+x+1)*(x^8+x^7+2*x^6-3*x^5+6*x^4-3*x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310398 4.42870 [(x^2+x+1)*(x^8+x^7+2*x^6-3*x^5+6*x^4-3*x^3+2*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310400 4.24195 [(x^10+3*x^9+6*x^8+3*x^7+2*x^6-x^5+2*x^4+3*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310400 4.42870 [(x^10+3*x^9+6*x^8+3*x^7+2*x^6-x^5+2*x^4+3*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310404 3.36921 [(x^12+3*x^11+6*x^10+4*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310404 4.82304 [(x^12+3*x^11+6*x^10+4*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310405 6.05193 [(x^8+3*x^7+5*x^6-3*x^4+5*x^2+3*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310408 3.36921 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310408 4.82304 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310409 6.46022 [(x^6+3*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310409 7.57166 [(x^6+3*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310410 3.74555 [(x^12+2*x^11+4*x^10+6*x^8-2*x^7+7*x^6-2*x^5+6*x^4+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310411 4.99407 [(x^8+3*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310411 6.46022 [(x^8+3*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310412 4.69443 [(x^10+3*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310412 5.54460 [(x^10+3*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310413 3.36921 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310413 4.82304 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310416 6.26616 [-(2*x^7-2*x^6-x^5-5*x^4-4*x^3-6*x^2-3*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A310416 7.01065 [-(2*x^7-2*x^6-x^5-5*x^4-4*x^3-6*x^2-3*x-1)/(x^2+1)/(x+1)/(x-1)^2 ogf] A310418 4.51387 [-(2*x^9-3*x^8-4*x^7-9*x^6-12*x^5-10*x^4-10*x^3-9*x^2-4*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A310418 5.67874 [-(2*x^9-3*x^8-4*x^7-9*x^6-12*x^5-10*x^4-10*x^3-9*x^2-4*x-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A310419 6.49611 [(x^6+2*x^5+3*x^4-2*x^3+3*x^2+2*x+1)/(x-1)^2/(x^4+1) ogf] A310419 7.95591 [(x^6+2*x^5+3*x^4-2*x^3+3*x^2+2*x+1)/(x^4+1)/(x-1)^2 ogf] A310420 3.38792 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310420 4.84984 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310421 4.72051 [(x^10+3*x^9+6*x^8+4*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310421 5.57540 [(x^10+3*x^9+6*x^8+4*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310422 4.47791 [(x^10+2*x^9+4*x^8+6*x^6+6*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310422 4.6233 [(x^10+2*x^9+4*x^8+6*x^6+6*x^4+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310423 3.40664 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310423 4.87663 [(x^12+3*x^11+6*x^10+4*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310424 4.53895 [-(2*x^9-3*x^8-4*x^7-9*x^6-12*x^5-13*x^4-10*x^3-9*x^2-4*x-1)*(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310424 5.09407 [-(2*x^9-3*x^8-4*x^7-9*x^6-12*x^5-13*x^4-10*x^3-9*x^2-4*x-1)*(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310427 3.41586 [(x^14+4*x^13+10*x^12+15*x^11+18*x^10+24*x^9+29*x^8+31*x^7+29*x^6+24*x^5+17*x^4+15*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310427 4.11913 [(x^14+4*x^13+10*x^12+15*x^11+18*x^10+24*x^9+29*x^8+31*x^7+29*x^6+24*x^5+17*x^4+15*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310428 3.46659 [(x+1)*(x^13+3*x^12+7*x^11+8*x^10+10*x^9+14*x^8+15*x^7+15*x^6+15*x^5+9*x^4+8*x^3+7*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310428 4.11913 [(x+1)*(x^13+3*x^12+7*x^11+8*x^10+10*x^9+14*x^8+15*x^7+15*x^6+15*x^5+9*x^4+8*x^3+7*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310430 5.98506 [(x^6+2*x^5+5*x^4+3*x^3+5*x^2+2*x+1)/(x-1)^2/(x^2+1)^2 ogf] A310430 7.868 [(x^6+2*x^5+5*x^4+3*x^3+5*x^2+2*x+1)/(x-1)^2/(x^2+1)^2 ogf] A310432 3.45178 [-(x^18-x^15+x^14-x^11+x^10-2*x^9-5*x^8-12*x^7-13*x^6-14*x^5-14*x^4-14*x^3-10*x^2-4*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310432 4.09398 [-(x^18-x^15+x^14-x^11+x^10-2*x^9-5*x^8-12*x^7-13*x^6-14*x^5-14*x^4-14*x^3-10*x^2-4*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310435 3.78583 [-(x^14-x^11+x^10-2*x^9-4*x^8-12*x^7-13*x^6-15*x^5-14*x^4-14*x^3-10*x^2-4*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310435 4.57249 [-(x^14-x^11+x^10-2*x^9-4*x^8-12*x^7-13*x^6-15*x^5-14*x^4-14*x^3-10*x^2-4*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310438 3.36921 [(x^12+3*x^11+6*x^10+5*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310438 4.82304 [(x^12+3*x^11+6*x^10+5*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310439 3.95598 [(x^10+2*x^9+4*x^8+x^7+3*x^6+2*x^5+3*x^4+x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310440 6.01850 [(x^6+3*x^5+7*x^4+7*x^3+7*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A310440 6.46022 [(x^6+3*x^5+7*x^4+7*x^3+7*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A310441 4.99407 [(x^8+3*x^7+6*x^6+5*x^5+4*x^4+5*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310441 6.46022 [(x^8+3*x^7+6*x^6+5*x^5+4*x^4+5*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310442 3.6111 [(x^10+2*x^9+3*x^8+x^6+4*x^5+x^4+3*x^2+2*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310442 4.82304 [(x^10+2*x^9+3*x^8+x^6+4*x^5+x^4+3*x^2+2*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310444 4.48149 [(x^10+3*x^9+6*x^8+4*x^7+x^6+x^4+4*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310444 4.68925 [(x^10+3*x^9+6*x^8+4*x^7+x^6+x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310446 6.05193 [(x^6+x^5+2*x^4-3*x^3+2*x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310446 6.49611 [(x^6+x^5+2*x^4-3*x^3+2*x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310452 3.74555 [(x^12+2*x^11+4*x^10+x^9+4*x^8+5*x^6+4*x^4+x^3+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310454 4.99407 [(x^2+1)*(x^8+3*x^7+5*x^6+2*x^5+2*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310454 5.54460 [(x^2+1)*(x^8+3*x^7+5*x^6+2*x^5+2*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310455 3.6111 [(x^2+x+1)*(x^10+2*x^9+3*x^8+2*x^6+2*x^5+2*x^4+3*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310455 4.82304 [(x^2+x+1)*(x^10+2*x^9+3*x^8+2*x^6+2*x^5+2*x^4+3*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310456 3.36921 [(x^12+3*x^11+6*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310456 4.82304 [(x^12+3*x^11+6*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310457 3.47096 [(x^12+2*x^11+4*x^10+x^9+4*x^8+x^7+4*x^6+x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310458 4.75219 [(x^8+2*x^7+4*x^6+x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A310458 5.85187 [(x^8+2*x^7+4*x^6+x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A310459 4.26552 [(x^10+3*x^9+6*x^8+4*x^7+2*x^6-x^5+2*x^4+4*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310459 4.45331 [(x^10+3*x^9+6*x^8+4*x^7+2*x^6-x^5+2*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310461 6.05193 [(x^6+2*x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310461 6.26616 [(x^6+2*x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310462 4.72051 [(x^10+3*x^9+6*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310462 5.57540 [(x^10+3*x^9+6*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310464 3.99993 [(x^10+2*x^9+4*x^8+x^7+4*x^6+2*x^5+4*x^4+x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310465 3.40664 [(x^12+3*x^11+6*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310465 4.87663 [(x^12+3*x^11+6*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310466 4.50625 [(x^10+3*x^9+6*x^8+4*x^7+2*x^6+2*x^4+4*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310466 4.71515 [(x^10+3*x^9+6*x^8+4*x^7+2*x^6+2*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310468 4.24195 [(x^10+3*x^9+6*x^8+4*x^7+3*x^6-4*x^5+3*x^4+4*x^3+6*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310468 4.42870 [(x^10+3*x^9+6*x^8+4*x^7+3*x^6-4*x^5+3*x^4+4*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310469 6.49611 [(x^6+3*x^5+6*x^4+5*x^3+6*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310469 7.61372 [(x^6+3*x^5+6*x^4+5*x^3+6*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310470 4.02379 [(x^10+x^9+2*x^8-2*x^7+5*x^6-4*x^5+5*x^4-2*x^3+2*x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310470 4.24195 [(x^10+x^9+2*x^8-2*x^7+5*x^6-4*x^5+5*x^4-2*x^3+2*x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310471 3.38792 [(x^12+3*x^11+6*x^10+5*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310471 4.84984 [(x^12+3*x^11+6*x^10+5*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+5*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310472 3.76636 [(x^12+2*x^11+4*x^10+x^9+5*x^8+5*x^6+5*x^4+x^3+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310480 4.18817 [-(2*x^13+2*x^12+2*x^11-2*x^10-2*x^9-5*x^8-6*x^7-12*x^6-16*x^5-16*x^4-16*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310480 4.62330 [-(2*x^13+2*x^12+2*x^11-2*x^10-2*x^9-5*x^8-6*x^7-12*x^6-16*x^5-16*x^4-16*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310485 3.57614 [-(2*x^13-3*x^12-2*x^11-14*x^10-12*x^9-22*x^8-26*x^7-24*x^6-26*x^5-18*x^4-16*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310485 4.45331 [-(2*x^13-3*x^12-2*x^11-14*x^10-12*x^9-22*x^8-26*x^7-24*x^6-26*x^5-18*x^4-16*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310491 3.46879 [(x^10+x^9+3*x^8-x^7+3*x^6-x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310491 4.82304 [(x^10+x^9+3*x^8-x^7+3*x^6-x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310492 3.95598 [(x^10+2*x^9+4*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310493 4.8563 [(x^8+x^7+3*x^6-x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310493 5.54460 [(x^8+x^7+3*x^6-x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310494 3.84824 [-(2*x^12-x^11-5*x^10-16*x^9-26*x^8-40*x^7-42*x^6-42*x^5-36*x^4-26*x^3-14*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310494 4.16515 [-(2*x^12-x^11-5*x^10-16*x^9-26*x^8-40*x^7-42*x^6-42*x^5-36*x^4-26*x^3-14*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310495 2.94629 [(x^12+x^11+3*x^10-x^9+3*x^8-x^7+4*x^6-x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310495 4.29368 [(x^12+x^11+3*x^10-x^9+3*x^8-x^7+4*x^6-x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310496 3.36921 [(x^12+3*x^11+6*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310496 4.82304 [(x^12+3*x^11+6*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310498 4.75219 [-(f(x)-3)*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x^2-2*x^3-2*f(x)*x-4*x^2+f(x)-2*x-1) ogf] A310498 8.33031 [(x^4+2*x^3+4*x^2+2*x+1)/(x^2+1)/(x-1)^2 ogf] A310498 9.69967 [(x^4+2*x^3+4*x^2+2*x+1)/(x^2+1)/(x-1)^2 ogf] A310499 3.63116 [(x^10+x^9+3*x^8-x^7+3*x^6+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310499 4.84984 [(x^10+x^9+3*x^8-x^7+3*x^6+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310500 4.00043 [-(2*x^14-3*x^13-2*x^12-10*x^11-18*x^10-22*x^9-25*x^8-26*x^7-24*x^6-25*x^5-20*x^4-16*x^3-10*x^2-4*x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A310501 3.38792 [(x^12+3*x^11+6*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310501 4.84984 [(x^12+3*x^11+6*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310502 4.75219 [(x^2+1)*(x^8+3*x^7+5*x^6+3*x^5-x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310502 5.57540 [(x^2+1)*(x^8+3*x^7+5*x^6+3*x^5-x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310503 5.16844 [(x^6+x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310503 6.49611 [(x^6+x^5+3*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310504 3.99993 [(x^10+2*x^9+4*x^8+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310505 3.40664 [(x^12+3*x^11+6*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310505 4.87663 [(x^12+3*x^11+6*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310508 5.41665 [(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)*(x^2+x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310508 5.45864 [(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)*(x^2+x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310509 4.72051 [(x^10+3*x^9+6*x^8+6*x^7+5*x^6+4*x^5+5*x^4+6*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310509 5.57540 [(x^10+3*x^9+6*x^8+6*x^7+5*x^6+4*x^5+5*x^4+6*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310510 3.37179 [-(x^14-3*x^13+5*x^12-5*x^11+x^10+x^9-8*x^8+5*x^7-8*x^6+x^5-5*x^4-3*x^2-x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310511 4.75219 [(x^8+2*x^7+5*x^6+4*x^5+7*x^4+4*x^3+5*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310511 4.88328 [(x^8+2*x^7+5*x^6+4*x^5+7*x^4+4*x^3+5*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310512 3.99993 [(x^10+2*x^9+4*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310513 3.40664 [(x^12+3*x^11+6*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310513 4.87663 [(x^12+3*x^11+6*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310516 4.23998 [-(2*x^11-3*x^10-4*x^9-9*x^8-14*x^7-10*x^6-8*x^5-12*x^4-12*x^3-9*x^2-4*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A310516 4.91719 [-(2*x^11-3*x^10-4*x^9-9*x^8-14*x^7-10*x^6-8*x^5-12*x^4-12*x^3-9*x^2-4*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A310517 3.38792 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310517 4.84984 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310518 6.532 [(x^2+1)*(x^4+3*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310518 7.65578 [(x^2+1)*(x^4+3*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310519 3.39042 [-(x^14-2*x^13+2*x^12-x^11-x^10-x^9-4*x^8+2*x^7-8*x^6+3*x^5-6*x^4-3*x^2-x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310520 3.40664 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310520 4.87663 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310521 4.77844 [(x^8+2*x^7+3*x^6+x^5+2*x^4+x^3+3*x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310521 6.30078 [(x^8+2*x^7+3*x^6+x^5+2*x^4+x^3+3*x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310522 4.84984 [(x^10+2*x^9+5*x^8+4*x^7+9*x^6+5*x^5+9*x^4+4*x^3+5*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310523 3.40664 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310523 4.87663 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310524 3.49014 [(x^12+2*x^11+4*x^10+2*x^9+4*x^8+x^7+4*x^6+x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A310525 6.08537 [(x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310525 6.30078 [(x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310526 3.50733 [(x^10+x^9+3*x^8-x^7+5*x^6-3*x^5+5*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310526 4.87663 [(x^10+x^9+3*x^8-x^7+5*x^6-3*x^5+5*x^4-x^3+3*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310527 3.47311 [(x^14+4*x^13+10*x^12+16*x^11+22*x^10+28*x^9+33*x^8+34*x^7+33*x^6+28*x^5+22*x^4+16*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310527 4.18816 [(x^14+4*x^13+10*x^12+16*x^11+22*x^10+28*x^9+33*x^8+34*x^7+33*x^6+28*x^5+22*x^4+16*x^3+10*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310529 5.04956 [(x^8+3*x^7+6*x^6+6*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310529 6.53200 [(x^8+3*x^7+6*x^6+6*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310530 4.77844 [(x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A310530 5.8842 [(x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A310531 4.8047 [(x^2+1)*(x^8+3*x^7+5*x^6+3*x^5+x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310531 5.63701 [(x^2+1)*(x^8+3*x^7+5*x^6+3*x^5+x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310532 4.02191 [(x^10+2*x^9+4*x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+4*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A310533 3.42536 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310533 4.90342 [(x^12+3*x^11+6*x^10+6*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+6*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310538 5.04956 [(x^6+2*x^4-2*x^3+2*x^2+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A310538 7.34008 [(x^6+2*x^4-2*x^3+2*x^2+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A310543 3.37179 [-(2*x^13-x^12-3*x^11-17*x^10-35*x^9-51*x^8-66*x^7-70*x^6-64*x^5-47*x^4-33*x^3-15*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310546 5.28415 [-(2*x^9-3*x^8-2*x^7-14*x^6-18*x^5-16*x^4-18*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310546 6.00064 [-(2*x^9-3*x^8-2*x^7-14*x^6-18*x^5-16*x^4-18*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310556 3.5959 [-(2*x^13-3*x^12-2*x^11-14*x^10-14*x^9-26*x^8-30*x^7-26*x^6-30*x^5-22*x^4-18*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310556 4.47791 [-(2*x^13-3*x^12-2*x^11-14*x^10-14*x^9-26*x^8-30*x^7-26*x^6-30*x^5-22*x^4-18*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310561 3.91202 [(x^14+2*x^13+4*x^12-x^11-2*x^10+x^9+3*x^8+3*x^6+x^5-2*x^4-x^3+4*x^2+2*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A310564 5.02182 [(x^8+3*x^7+8*x^6+4*x^5+4*x^4+4*x^3+8*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310564 6.49611 [(x^8+3*x^7+8*x^6+4*x^5+4*x^4+4*x^3+8*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310565 5.47683 [(5*f(x)-1777)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-8*x^2+f(x)-3*x-1) ogf] A310565 9.2466 [(x^4+3*x^3+8*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A310565 9.24660 [(x^4+3*x^3+8*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A310566 3.78783 [(x^12+3*x^11+9*x^10+7*x^9+12*x^8+12*x^7+12*x^6+12*x^5+12*x^4+7*x^3+9*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A310579 3.39308 [-(2*x^13-3*x^12-4*x^11-8*x^10-10*x^9-14*x^8-22*x^7-16*x^6-16*x^5-12*x^4-10*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310579 4.23594 [-(2*x^13-3*x^12-4*x^11-8*x^10-10*x^9-14*x^8-22*x^7-16*x^6-16*x^5-12*x^4-10*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310581 5.09748 [-(2*x^9-3*x^8-4*x^7-8*x^6-14*x^5-10*x^4-10*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310581 5.80058 [-(2*x^9-3*x^8-4*x^7-8*x^6-14*x^5-10*x^4-10*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310593 4.07699 [-(2*x^13-3*x^12-7*x^11-3*x^10+x^9-6*x^8-13*x^7-7*x^6-5*x^5-4*x^4-4*x^3-4*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A310594 3.47292 [-(2*x^13-3*x^12-3*x^11-9*x^10-11*x^9-16*x^8-22*x^7-18*x^6-20*x^5-13*x^4-12*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310594 4.33561 [-(2*x^13-3*x^12-3*x^11-9*x^10-11*x^9-16*x^8-22*x^7-18*x^6-20*x^5-13*x^4-12*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310595 3.6207 [-(2*x^13-3*x^12-3*x^11-9*x^10-12*x^9-14*x^8-16*x^7-15*x^6-18*x^5-12*x^4-12*x^3-6*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310595 4.12540 [-(2*x^13-3*x^12-3*x^11-9*x^10-12*x^9-14*x^8-16*x^7-15*x^6-18*x^5-12*x^4-12*x^3-6*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A310618 4.27878 [-(2*x^11-3*x^10-4*x^9-8*x^8-14*x^7-20*x^6-16*x^5-16*x^4-14*x^3-6*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310618 4.99711 [-(2*x^11-3*x^10-4*x^9-8*x^8-14*x^7-20*x^6-16*x^5-16*x^4-14*x^3-6*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310640 4.5001 [-(2*x^9-5*x^8+x^7-7*x^6-4*x^5-3*x^4-8*x^3-2*x^2-3*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310640 5.88475 [-(2*x^9-5*x^8+x^7-7*x^6-4*x^5-3*x^4-8*x^3-2*x^2-3*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310648 5.72255 [-(2*x^7-5*x^6+x^5-6*x^4-8*x^3-2*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310648 6.85572 [-(2*x^7-5*x^6+x^5-6*x^4-8*x^3-2*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310649 3.55276 [-(2*x^13-3*x^12-4*x^11-8*x^10-14*x^9-20*x^8-26*x^7-22*x^6-22*x^5-20*x^4-14*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310649 4.43529 [-(2*x^13-3*x^12-4*x^11-8*x^10-14*x^9-20*x^8-26*x^7-22*x^6-22*x^5-20*x^4-14*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A310650 4.80235 [-(2*x^8-5*x^7+x^6-6*x^5-6*x^4-8*x^3-2*x^2-3*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310650 6.38844 [-(2*x^8-5*x^7+x^6-6*x^5-6*x^4-8*x^3-2*x^2-3*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A310651 3.93412 [-(2*x^15-3*x^14-4*x^13-8*x^12-14*x^11-20*x^10-26*x^9-32*x^8-28*x^7-28*x^6-26*x^5-20*x^4-14*x^3-6*x^2-4*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310652 3.36757 [-(x^17+2*x^16+2*x^15-x^13-2*x^11-5*x^10-6*x^9-6*x^8-9*x^7-12*x^6-14*x^5-10*x^4-7*x^3-6*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310661 2.86882 [-(x^18-2*x^17+2*x^16-x^15-x^13+2*x^12-5*x^11+4*x^10-6*x^9+3*x^8-3*x^7-3*x^5+2*x^4-4*x^3+x^2-x-1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A310668 3.31628 [-(3*x^12-x^10-7*x^9-10*x^8-13*x^7-15*x^6-17*x^5-14*x^4-12*x^3-7*x^2-4*x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A310680 3.32227 [(x^15+3*x^14+4*x^13+6*x^12+7*x^11+9*x^10+10*x^9+15*x^8+12*x^7+10*x^6+9*x^5+7*x^4+6*x^3+4*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310683 3.95859 [(x^11+3*x^10+4*x^9+6*x^8+7*x^7+11*x^6+9*x^5+7*x^4+6*x^3+4*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2-x+1)^2/(x^2+x+1)^2 ogf] A310689 3.16252 [-(x^18-3*x^17+4*x^16-x^15-5*x^14+8*x^13-5*x^12-4*x^11+9*x^10-9*x^9+x^8+4*x^7-7*x^6+x^5+2*x^4-4*x^3+x^2-1)*(x+1)^2/(x-1)^2/(x^6+x^3+1)^2 ogf] A310690 3.63712 [-(x^15-2*x^14+2*x^13-x^12-x^8-x^7-x^6-x^5-x^4-2*x^3-x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A310704 5.05915 [(x^7+3*x^6+4*x^5+7*x^4+6*x^3+4*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A310704 6.1731 [(x^7+3*x^6+4*x^5+7*x^4+6*x^3+4*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2 ogf] A310725 3.80151 [(x^13+3*x^12+3*x^11+4*x^10+4*x^9+8*x^8+5*x^7+9*x^6+6*x^5+4*x^4+4*x^3+3*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A310728 3.01191 [-(x^2+x+1)*(x^16-2*x^14+3*x^13-3*x^11-2*x^10+2*x^9-3*x^8-3*x^7-x^6-3*x^5-2*x^4-2*x^3-2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A310744 4.4234 [(x^9+4*x^8+7*x^7+11*x^6+11*x^5+12*x^4+10*x^3+7*x^2+4*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310744 5.41423 [(x^9+4*x^8+7*x^7+11*x^6+11*x^5+12*x^4+10*x^3+7*x^2+4*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A310745 4.93255 [-(2*x^10-2*x^9+2*x^7-5*x^6-x^5-5*x^4-4*x^3-3*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310745 5.76857 [-(2*x^10-2*x^9+2*x^7-5*x^6-x^5-5*x^4-4*x^3-3*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310747 3.43543 [(x^2+x+1)*(x^13+2*x^12+x^11+5*x^10+x^9+7*x^8+2*x^7+8*x^6+2*x^5+4*x^4+4*x^3+x^2+2*x+1)/(x+1)/(x-1)^2/(x^4+1)^2/(x^2+1)^2 ogf] A310760 3.91202 [(x^10+3*x^9+4*x^8+7*x^7+9*x^6+6*x^5+9*x^4+7*x^3+4*x^2+3*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310760 4.28108 [(x^10+3*x^9+4*x^8+7*x^7+9*x^6+6*x^5+9*x^4+7*x^3+4*x^2+3*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310763 5.29628 [-(x^12-x^7-3*x^6-x^5-6*x^4-4*x^3-3*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310763 6.25924 [-(x^12-x^7-3*x^6-x^5-6*x^4-4*x^3-3*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310782 3.97947 [-(x^17+2*x^16+2*x^14-5*x^11-4*x^10-12*x^9-14*x^8-20*x^7-18*x^6-20*x^5-16*x^4-12*x^3-7*x^2-4*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A310831 3.7017 [-(2*x^13-5*x^12-x^11-10*x^9-2*x^8-3*x^7-12*x^6-3*x^5-4*x^4-6*x^3-2*x^2-3*x-1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2/(x+1)^2 ogf] A310840 3.27865 [-(2*x^13-3*x^12-4*x^11-8*x^10-6*x^9-11*x^8-16*x^7-14*x^6-12*x^5-9*x^4-10*x^3-6*x^2-4*x-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A310857 4.27650 [-(2*x^13-3*x^12-4*x^11-8*x^10-8*x^9-9*x^8-10*x^7-9*x^6-8*x^5-9*x^4-10*x^3-6*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A310858 4.25010 [-(2*x^13-3*x^12-4*x^11-8*x^10-8*x^9-9*x^8-10*x^7-10*x^6-8*x^5-9*x^4-10*x^3-6*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A310872 4.47088 [-(2*x^9-x^8-7*x^7-12*x^6-18*x^5-19*x^4-16*x^3-10*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A310872 4.47088 [-(2*x^9-x^8-7*x^7-12*x^6-18*x^5-19*x^4-16*x^3-10*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A310885 3.1474 [-(x^2+1)*(2*x^12+x^11-6*x^10-20*x^9-35*x^8-52*x^7-60*x^6-58*x^5-46*x^4-31*x^3-16*x^2-6*x-1)/(x+1)/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A310936 2.89455 [-(2*x^15-4*x^14+4*x^13-2*x^12-2*x^11+x^10+2*x^9-5*x^8+6*x^7-5*x^6+x^4-2*x^3+x^2-1)*(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A310937 2.90247 [-(x^2+x+1)*(2*x^17-2*x^16+2*x^15-2*x^14+2*x^13-5*x^12+3*x^11-4*x^10+x^9-3*x^8-x^7-3*x^6-x^5-x^4-x^3-x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310970 3.39308 [-(x^19+x^18-2*x^14-3*x^13-3*x^12-3*x^11-5*x^10-4*x^9-8*x^8-6*x^7-7*x^6-3*x^5-4*x^4-2*x^3-3*x^2-2*x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A310988 3.41557 [(x^2+x+1)*(x^12+3*x^11+4*x^10+3*x^9+7*x^8+6*x^7+10*x^6+6*x^5+7*x^4+3*x^3+4*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310988 4.00516 [(x^2+x+1)*(x^12+3*x^11+4*x^10+3*x^9+7*x^8+6*x^7+10*x^6+6*x^5+7*x^4+3*x^3+4*x^2+3*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A310999 3.30727 [-(x^2+1)*(2*x^11-2*x^10-2*x^9+x^8-2*x^7+x^6-2*x^5-4*x^4+2*x^3-x^2-2*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311002 4.60395 [(x^10+4*x^9+8*x^8+10*x^7+16*x^6+16*x^5+16*x^4+10*x^3+8*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311002 5.28734 [(x^10+4*x^9+8*x^8+10*x^7+16*x^6+16*x^5+16*x^4+10*x^3+8*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311007 4.44204 [-(2*x^11-x^8-7*x^7-5*x^6-7*x^5-10*x^4-5*x^3-5*x^2-3*x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311007 4.55971 [-(2*x^11-x^8-7*x^7-5*x^6-7*x^5-10*x^4-5*x^3-5*x^2-3*x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311010 4.12541 [(x^2+x+1)*(x^12+x^11+x^10+10*x^8-14*x^7+23*x^6-14*x^5+10*x^4+x^2+x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A311015 6.70633 [(x^12+x^9+3*x^6+x^3+1)*(x+1)^2/(x-1)^2/(x^6+x^3+1)^2 ogf] A311022 3.7175 [-(x^17-2*x^16+x^15+2*x^14-4*x^13+x^12+2*x^11-4*x^10+x^9-2*x^7-x^6-x^4-x^3-1)*(x+1)^2/(x-1)^2/(x^6+x^3+1)^2 ogf] A311023 3.82311 [-(x^13-x^12+x^10-x^9-2*x^8-x^6-x^5-2*x^4-x^2-x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311024 3.13683 [-(x^2+x+1)*(x^19-2*x^18+2*x^17-x^16+x^13-2*x^12+x^11-x^10-x^8+x^7-2*x^6-x^3-1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A311030 5.206 [(x^12+x^9+2*x^8-4*x^7+8*x^6-4*x^5+2*x^4+x^3+1)*(x+1)^2/(x-1)^2/(x^6+x^3+1)^2 ogf] A311033 3.77941 [(x^13+3*x^12+4*x^11+3*x^10+4*x^9+6*x^8+9*x^7+7*x^6+6*x^5+4*x^4+3*x^3+4*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A311042 4.00462 [(x^11+3*x^10+5*x^9+6*x^8+9*x^7+10*x^6+11*x^5+8*x^4+6*x^3+5*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311051 3.38653 [(x^15+3*x^14+5*x^13+6*x^12+10*x^11+9*x^10+14*x^9+13*x^8+16*x^7+11*x^6+11*x^5+9*x^4+6*x^3+5*x^2+3*x+1)/(x+1)/(x-1)^2/(x^4+1)^2/(x^2+1)^2 ogf] A311057 3.18757 [-(x+1)*(x^13+x^11-x^10-x^9-4*x^8-3*x^7-5*x^6-5*x^5-6*x^4-3*x^3-3*x^2-2*x-1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311063 3.14391 [-(x^15-x^14+2*x^13-x^12-x^11+x^10-6*x^9-4*x^7-6*x^6-2*x^5-6*x^4-2*x^3-2*x^2-2*x-1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311066 3.04653 [-(x+1)*(x^17-x^16+x^15-x^12-4*x^10-x^9-3*x^8-4*x^7-4*x^6-3*x^5-5*x^4-x^3-2*x^2-2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311079 4.63548 [(x^2+1)*(x^10-x^8+2*x^7-x^6+2*x^5-x^4+2*x^3-x^2+1)*(x+1)^2/(x-1)^2/(x^6+x^3+1)^2 ogf] A311084 3.29434 [-(2*x^14-2*x^13+2*x^12-5*x^10+2*x^9-6*x^8-3*x^7-2*x^6-8*x^5-2*x^4-3*x^3-2*x^2-2*x-1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311088 4.45607 [(x^2+x+1)*(x^6+x^3+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311088 5.21603 [(x^2+x+1)*(x^6+x^3+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311094 3.45529 [(x^2+x+1)*(x^13+2*x^12+2*x^11+3*x^10+3*x^9+5*x^8+4*x^7+6*x^6+4*x^5+3*x^4+3*x^3+2*x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A311101 6.77826 [-(x^8-2*x^7+2*x^6-2*x^5-x^3-x-1)/(x-1)^2/(x^2-x+1) ogf] A311101 7.05777 [-(x^8-2*x^7+2*x^6-2*x^5-x^3-x-1)/(x^2-x+1)/(x-1)^2 ogf] A311104 3.32898 [-(x+1)*(x^16-2*x^11-2*x^10-3*x^9-2*x^8-3*x^7-5*x^6-5*x^5-2*x^4-2*x^3-2*x^2-2*x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311116 3.2024 [-(2*x^12-3*x^11-4*x^10-10*x^9-15*x^8-15*x^7-17*x^6-19*x^5-14*x^4-12*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311116 4.41356 [-(2*x^12-3*x^11-4*x^10-10*x^9-15*x^8-15*x^7-17*x^6-19*x^5-14*x^4-12*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311151 3.1842 [(x^4+x^3+x^2+x+1)*(x^12-x^10+2*x^9-x^7+3*x^6-x^5+2*x^3-x^2+1)/(x^2+1)/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311154 2.87315 [(x^14+x^13+x^11+x^10+2*x^8+2*x^7+2*x^6+x^4+x^3+x+1)*(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311164 2.82894 [(x^8+2*x^7+2*x^6+x^5+x^4+x^3+2*x^2+2*x+1)*(x^8+x^7+x^5+x^4+x^3+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311165 4.36054 [(x^7+x^6+x^4+x+1)*(x^7+x^6+x^3+x+1)/(x^2+1)/(x^4-x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311170 3.11546 [(x^14+2*x^13+x^12+x^10+2*x^9+2*x^8+3*x^7+2*x^6+2*x^5+x^4+x^2+2*x+1)/(x^4-x^2+1)/(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311174 2.70594 [(x^2+1)*(x^14+x^12+2*x^10+2*x^8+x^7+2*x^6+2*x^4+x^2+1)*(x+1)^4/(x^2+x+1)/(x^6+x^3+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311196 3.37508 [(x^12+2*x^11+2*x^10+2*x^9+2*x^8+2*x^7+3*x^6+2*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311209 3.2024 [(x^2+x+1)*(x^12+x^11+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+x^3+x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311217 3.54905 [(x^2+1)*(x^10+x^9+x^7+2*x^6+x^5+2*x^4+x^3+x+1)*(x+1)^2/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311224 3.47735 [(x^14+2*x^13+2*x^12+3*x^11+4*x^10+4*x^9+7*x^8+4*x^7+7*x^6+4*x^5+4*x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^2 ogf] A311225 3.29434 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311225 4.71586 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311233 3.51284 [(x^12+2*x^11+3*x^10+4*x^9+5*x^8+6*x^7+8*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A311237 3.58602 [-(4*x^12-x^10-8*x^9-8*x^8-16*x^7-19*x^6-16*x^5-15*x^4-12*x^3-8*x^2-4*x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A311237 4.74839 [-(4*x^12-x^10-8*x^9-8*x^8-16*x^7-19*x^6-16*x^5-15*x^4-12*x^3-8*x^2-4*x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A311257 4.14769 [(x^10+3*x^9+4*x^8+3*x^7+x^6+x^5+x^4+3*x^3+4*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311257 4.33029 [(x^10+3*x^9+4*x^8+3*x^7+x^6+x^5+x^4+3*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311261 4.19827 [(x^12+2*x^11+x^10+x^9+3*x^8+4*x^7+x^6+4*x^5+3*x^4+x^3+x^2+2*x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^2 ogf] A311262 3.29434 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311262 4.71586 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311263 3.35861 [-(x^19-x^14-4*x^13-8*x^12-9*x^11-10*x^10-13*x^9-16*x^8-17*x^7-16*x^6-13*x^5-9*x^4-8*x^3-7*x^2-4*x-1)/(x^2+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A311273 4.2522 [(x^2+x+1)^2*(x^2-x+1)^2*(x+1)^4/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311273 4.38849 [(x^2+x+1)^2*(x^2-x+1)^2*(x+1)^4/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311285 4.62091 [(x^5+x^4+x^3+x+1)*(x^5+x^4+x^2+x+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A311286 3.54905 [(x^10+x^9+2*x^7+2*x^6+x^5+2*x^4+2*x^3+x+1)*(x^2+x+1)^2/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311287 3.56744 [(x^4+1)*(x^8+x^7+x^6+2*x^5+x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311289 4.17282 [(x^2+x+1)*(x^8+x^7+x^5+x^4+x^3+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311292 3.14391 [-(x^16-x^15+x^14-x^13-3*x^11-3*x^10-5*x^9-5*x^8-7*x^7-7*x^6-7*x^5-5*x^4-4*x^3-3*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311312 4.49629 [(x^10+2*x^9+x^8+x^6+3*x^5+x^4+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311312 4.58562 [(x^10+2*x^9+x^8+x^6+3*x^5+x^4+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311331 3.56922 [(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^4/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311331 4.74266 [(x^2+x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)*(x+1)^4/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311332 4.37950 [(x^10+x^9+x^7+x^6+x^5+x^4+x^3+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311332 4.64227 [(x^10+x^9+x^7+x^6+x^5+x^4+x^3+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311343 3.14391 [(x^12+3*x^11+5*x^10+7*x^9+9*x^8+13*x^7+12*x^6+13*x^5+9*x^4+7*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311344 4.59011 [(x^10+3*x^9+4*x^8+4*x^7+4*x^6+6*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311344 5.42139 [(x^10+3*x^9+4*x^8+4*x^7+4*x^6+6*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311345 3.51486 [-(2*x^15-x^12-4*x^11-10*x^10-14*x^9-18*x^8-22*x^7-24*x^6-22*x^5-16*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311345 4.38246 [-(2*x^15-x^12-4*x^11-10*x^10-14*x^9-18*x^8-22*x^7-24*x^6-22*x^5-16*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311356 3.31305 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311356 4.74266 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311363 3.64436 [-(2*x^11-x^10-7*x^9-14*x^8-24*x^7-33*x^6-32*x^5-27*x^4-20*x^3-12*x^2-5*x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A311363 4.14628 [-(2*x^11-x^10-7*x^9-14*x^8-24*x^7-33*x^6-32*x^5-27*x^4-20*x^3-12*x^2-5*x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A311384 3.89005 [(x^10+2*x^9+2*x^8+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311385 3.33177 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311385 4.76945 [(x^12+3*x^11+4*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311406 3.37243 [(x^14+4*x^13+8*x^12+12*x^11+17*x^10+21*x^9+25*x^8+27*x^7+25*x^6+20*x^5+17*x^4+12*x^3+8*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311406 4.07502 [(x^14+4*x^13+8*x^12+12*x^11+17*x^10+21*x^9+25*x^8+27*x^7+25*x^6+20*x^5+17*x^4+12*x^3+8*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311411 3.764 [-(x^22-x^21+2*x^20-2*x^19+x^17-2*x^13+x^12-x^10+x^9+2*x^7-4*x^6+x^5-2*x^4-3*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A311426 3.37508 [(x^12+2*x^11+2*x^10+2*x^9+3*x^8+x^7+3*x^6+x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311433 4.71586 [(x^10+2*x^9+2*x^8+3*x^7+4*x^6+x^5+4*x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311434 3.32616 [(x^10+3*x^9+3*x^8+x^7+2*x^6+3*x^5+2*x^4+x^3+3*x^2+3*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311434 4.71586 [(x^10+3*x^9+3*x^8+x^7+2*x^6+3*x^5+2*x^4+x^3+3*x^2+3*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311435 3.66232 [-(x^18-x^12-5*x^11-9*x^10-13*x^9-16*x^8-17*x^7-17*x^6-17*x^5-16*x^4-12*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A311435 4.17282 [-(x^18-x^12-5*x^11-9*x^10-13*x^9-16*x^8-17*x^7-17*x^6-17*x^5-16*x^4-12*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A311440 3.86807 [(x^10+2*x^9+2*x^8+2*x^7+3*x^6+x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311457 3.11546 [(x^12+3*x^11+5*x^10+7*x^9+10*x^8+11*x^7+14*x^6+11*x^5+10*x^4+7*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311458 4.59011 [(x^10+3*x^9+4*x^8+4*x^7+5*x^6+4*x^5+5*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311458 5.42139 [(x^10+3*x^9+4*x^8+4*x^7+5*x^6+4*x^5+5*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311459 3.35861 [-(x^16+x^14-x^12-5*x^11-9*x^10-14*x^9-18*x^8-22*x^7-24*x^6-21*x^5-17*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311459 4.14769 [-(x^16+x^14-x^12-5*x^11-9*x^10-14*x^9-18*x^8-22*x^7-24*x^6-21*x^5-17*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311475 5.91819 [(x^8+3*x^7+3*x^6-x^4+3*x^2+3*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311480 4.17125 [-(x^16-x^14-5*x^11-6*x^10-5*x^9-4*x^8-9*x^7-13*x^6-9*x^5-4*x^4-4*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A311481 3.41098 [(x^2+x+1)*(x^10+2*x^9+x^8+x^7+3*x^6+3*x^4+x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311481 4.74266 [(x^2+x+1)*(x^10+2*x^9+x^8+x^7+3*x^6+3*x^4+x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311491 3.25393 [-(x^18-x^17+x^16-x^15+2*x^14-2*x^13+2*x^12-2*x^11+2*x^10-3*x^9-5*x^7-5*x^6-7*x^5-7*x^4-6*x^3-5*x^2-3*x-1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A311494 4.74839 [(x^8+2*x^7+2*x^6+3*x^5+5*x^4+3*x^3+2*x^2+2*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311494 4.88309 [(x^8+2*x^7+2*x^6+3*x^5+5*x^4+3*x^3+2*x^2+2*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311501 4.62091 [(x^8+2*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A311501 5.69022 [(x^8+2*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A311506 4.05009 [(x^10+x^9+x^8+2*x^7+3*x^6+3*x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311508 4.12285 [-(x^11-x^10+x^9-2*x^8-2*x^7-4*x^6-4*x^5-6*x^4-4*x^3-3*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311508 4.68378 [-(x^11-x^10+x^9-2*x^8-2*x^7-4*x^6-4*x^5-6*x^4-4*x^3-3*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311511 3.13316 [-(x+1)*(x^6+x^4+x+1)*(x^14-x^12-x^11-3*x^10-4*x^9-6*x^8-5*x^7-5*x^6-5*x^5-5*x^4-4*x^3-3*x^2-2*x-1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A311512 3.39426 [(x^12+2*x^11+2*x^10+2*x^9+3*x^8+2*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311515 3.27865 [-(x^15-2*x^12-3*x^11-8*x^10-9*x^9-11*x^8-13*x^7-15*x^6-14*x^5-10*x^4-8*x^3-7*x^2-4*x-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A311522 3.3777 [-(x^17-x^16+x^15-2*x^14-2*x^13-2*x^12-6*x^11-5*x^10-7*x^9-8*x^8-9*x^7-8*x^6-6*x^5-6*x^4-4*x^3-3*x^2-2*x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A311523 4.07311 [(x^2+1)*(x^8+x^7+2*x^4+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311523 4.74266 [(x^2+1)*(x^8+x^7+2*x^4+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311525 3.28165 [-(x+1)*(x^18-x^17-4*x^14-5*x^12-3*x^11-6*x^10-5*x^9-7*x^8-8*x^7-5*x^6-4*x^5-5*x^4-3*x^3-2*x^2-2*x-1)/(x^2+x+1)/(x-1)^2/(x^6+x^3+1)^2 ogf] A311534 3.20569 [-(x+1)*(x^16-x^13-4*x^12-4*x^11-9*x^10-10*x^9-13*x^8-15*x^7-15*x^6-12*x^5-10*x^4-7*x^3-5*x^2-3*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311535 3.89005 [(x^10+2*x^9+2*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311536 6.1623 [(x^8+2*x^7+x^6+x^4+x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311536 6.38844 [(x^8+2*x^7+x^6+x^4+x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311541 3.33177 [(x^12+3*x^11+4*x^10+4*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311541 4.76945 [(x^12+3*x^11+4*x^10+4*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311545 3.95673 [-(x^14+2*x^12-x^11+2*x^10-3*x^9-x^8-7*x^7-7*x^6-11*x^5-11*x^4-9*x^3-6*x^2-3*x-1)/(x^2+x+1)/(x-1)^2/(x^2+1)^2 ogf] A311548 5.36766 [(x^4+x^3+x^2+x+1)*(x^4+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311548 5.45219 [(x^4+x^3+x^2+x+1)*(x^4+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311549 4.40410 [(x^8+x^7+x^6+x^4+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311549 4.82932 [(x^8+x^7+x^6+x^4+x^2+x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311552 3.91202 [(x^10+2*x^9+2*x^8+2*x^7+3*x^6+3*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311553 3.39928 [(x^2-x+1)*(x^8+2*x^7+2*x^6+x^5+x^4+x^3+2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311553 4.79625 [(x^2-x+1)*(x^8+2*x^7+2*x^6+x^5+x^4+x^3+2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311554 3.43261 [(x^12+2*x^11+2*x^10+2*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311559 3.14391 [(x^14+3*x^13+4*x^12+5*x^11+9*x^10+6*x^9+9*x^8+14*x^7+9*x^6+6*x^5+9*x^4+5*x^3+4*x^2+3*x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311570 4.8487 [(x^8+3*x^7+5*x^6+7*x^5+10*x^4+7*x^3+5*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311570 4.84870 [(x^8+3*x^7+5*x^6+7*x^5+10*x^4+7*x^3+5*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311586 4.88309 [(x^2+1)*(x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311586 6.31666 [(x^2+1)*(x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311592 5.16737 [-(2*x^10-x^8-6*x^7-10*x^6-14*x^5-16*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A311592 5.86803 [-(2*x^10-x^8-6*x^7-10*x^6-14*x^5-16*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A311593 3.31305 [(x^12+3*x^11+4*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311593 4.74266 [(x^12+3*x^11+4*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311601 3.95673 [(x^8+2*x^7+x^6+3*x^4+x^2+2*x+1)*(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311601 4.3008 [(x^8+2*x^7+x^6+3*x^4+x^2+2*x+1)*(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311611 3.62528 [-(x^2+1)*(2*x^12-3*x^10-6*x^9-3*x^8-10*x^7-15*x^6-14*x^5-11*x^4-8*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311611 4.41037 [-(x^2+1)*(2*x^12-3*x^10-6*x^9-3*x^8-10*x^7-15*x^6-14*x^5-11*x^4-8*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311612 4.61619 [(x^10+3*x^9+4*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311612 5.45219 [(x^10+3*x^9+4*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311613 3.36396 [(x^2+1)*(x^10+3*x^9+3*x^8+x^7+3*x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311613 4.76945 [(x^2+1)*(x^10+3*x^9+3*x^8+x^7+3*x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311624 3.72374 [-(x^18-x^17+2*x^14-3*x^13-2*x^11-x^10-5*x^9-4*x^8-3*x^7-4*x^6-4*x^5-5*x^4-2*x^3-2*x^2-2*x-1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A311625 4.67342 [(x^8+2*x^7+2*x^6+2*x^5+4*x^4+2*x^3+2*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A311625 5.75488 [(x^8+2*x^7+2*x^6+2*x^5+4*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A311626 3.44952 [(x^10+x^9+x^8+x^7+3*x^6-x^5+3*x^4+x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311626 4.79625 [(x^10+x^9+x^8+x^7+3*x^6-x^5+3*x^4+x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311633 4.67342 [(x^8+2*x^7+x^6+x^5+4*x^4+x^3+x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311633 6.1623 [(x^8+2*x^7+x^6+x^5+4*x^4+x^3+x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311634 3.934 [(x^10+2*x^9+2*x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311635 3.40176 [(x^2+1)*(x^10+3*x^9+3*x^8+x^7+3*x^6+5*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311635 4.82304 [(x^2+1)*(x^10+3*x^9+3*x^8+x^7+3*x^6+5*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311647 4.09721 [-(x^10+x^9-2*x^8-5*x^7-9*x^6-13*x^5-15*x^4-11*x^3-8*x^2-4*x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311647 5.20623 [-(x^10+x^9-2*x^8-5*x^7-9*x^6-13*x^5-15*x^4-11*x^3-8*x^2-4*x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311651 4.8357 [-(4*x^9-x^7-12*x^6-8*x^5-15*x^4-11*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A311651 6.00293 [-(4*x^9-x^7-12*x^6-8*x^5-15*x^4-11*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A311663 3.72475 [-(2*x^14-x^12-6*x^11-8*x^10-14*x^9-19*x^8-22*x^7-20*x^6-22*x^5-19*x^4-12*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A311663 4.24395 [-(2*x^14-x^12-6*x^11-8*x^10-14*x^9-19*x^8-22*x^7-20*x^6-22*x^5-19*x^4-12*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A311669 3.37243 [(x^14+4*x^13+8*x^12+13*x^11+16*x^10+21*x^9+25*x^8+27*x^7+24*x^6+22*x^5+15*x^4+13*x^3+8*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311669 4.07502 [(x^14+4*x^13+8*x^12+13*x^11+16*x^10+21*x^9+25*x^8+27*x^7+24*x^6+22*x^5+15*x^4+13*x^3+8*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311704 3.95725 [(x^2-x+1)*(x^8+2*x^7+2*x^6+3*x^5+3*x^3+2*x^2+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311709 4.72141 [(x^5+2*x^4+x^3+2*x^2+x+1)*(x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311709 5.34847 [(x^5+2*x^4+x^3+2*x^2+x+1)*(x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311713 3.42545 [(x^15+3*x^14+5*x^13+8*x^12+8*x^11+13*x^10+13*x^9+17*x^8+15*x^7+13*x^6+13*x^5+8*x^4+8*x^3+5*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A311744 3.66495 [-(x^14+2*x^13+3*x^12+x^10-7*x^9-6*x^8-16*x^7-17*x^6-22*x^5-19*x^4-16*x^3-9*x^2-4*x-1)/(x+1)/(x^2+x+1)/(x-1)^2/(x^2+1)^2 ogf] A311800 4.17441 [(x^12+2*x^11+x^10+2*x^9+2*x^8+3*x^7+3*x^6+3*x^5+2*x^4+2*x^3+x^2+2*x+1)/(x^6+x^3+1)/(x^4+1)/(x-1)^2 ogf] A311801 3.37508 [(x^12+2*x^11+2*x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311803 3.01981 [(x^2+x+1)*(x^12+2*x^11+2*x^10+4*x^9+3*x^8+5*x^7+5*x^6+5*x^5+3*x^4+4*x^3+2*x^2+2*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311804 3.29434 [(x^12+3*x^11+4*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311804 4.71586 [(x^12+3*x^11+4*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311806 3.14391 [(x^12+3*x^11+5*x^10+8*x^9+9*x^8+12*x^7+12*x^6+12*x^5+9*x^4+8*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311807 6.09306 [(x^2+x+1)*(x^4+2*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311807 7.40340 [(x^2+x+1)*(x^4+2*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311816 4.62091 [(x^8+3*x^7+3*x^6+2*x^5+x^4+2*x^3+3*x^2+3*x+1)*(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311816 5.42139 [(x^8+3*x^7+3*x^6+2*x^5+x^4+2*x^3+3*x^2+3*x+1)*(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311817 3.35861 [-(x^17+x^13-2*x^12-5*x^11-9*x^10-13*x^9-18*x^8-22*x^7-23*x^6-21*x^5-17*x^4-13*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311817 4.14769 [-(x^17+x^13-2*x^12-5*x^11-9*x^10-13*x^9-18*x^8-22*x^7-23*x^6-21*x^5-17*x^4-13*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311843 4.62091 [(x^8+2*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A311843 5.69022 [(x^8+2*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A311855 3.93425 [-(x^12-2*x^11+3*x^10-3*x^9+x^8-4*x^7-2*x^6-6*x^5-4*x^4-5*x^3-3*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311855 4.74266 [-(x^12-2*x^11+3*x^10-3*x^9+x^8-4*x^7-2*x^6-6*x^5-4*x^4-5*x^3-3*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A311861 4.38246 [(x^10+3*x^9+4*x^8+4*x^7+x^6+x^4+4*x^3+4*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311861 4.58562 [(x^10+3*x^9+4*x^8+4*x^7+x^6+x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311889 3.41098 [(x^10+x^9+x^8+2*x^7-x^6+4*x^5-x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311889 4.74266 [(x^10+x^9+x^8+2*x^7-x^6+4*x^5-x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311905 2.84511 [(x^16+x^15+2*x^13+4*x^11-2*x^10+4*x^9+x^8+4*x^7-2*x^6+4*x^5+2*x^3+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311907 3.34231 [(x^14+2*x^13+x^12+2*x^11+x^10+2*x^9+2*x^8+3*x^7+2*x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311914 4.74839 [(x^2+x+1)*(x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311914 6.31666 [(x^2+x+1)*(x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311924 4.49629 [(x^10+2*x^9+x^8+x^7+3*x^5+x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311924 4.58562 [(x^10+2*x^9+x^8+x^7+3*x^5+x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311930 3.80396 [-(x^15-x^13+x^11-2*x^10-4*x^9-8*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-7*x^2-4*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A311930 4.35770 [-(x^15-x^13+x^11-2*x^10-4*x^9-8*x^8-9*x^7-9*x^6-9*x^5-9*x^4-9*x^3-7*x^2-4*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A311931 6.09306 [-(x^9-2*x^6-5*x^5-8*x^4-9*x^3-7*x^2-4*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A311931 6.55730 [-(x^9-2*x^6-5*x^5-8*x^4-9*x^3-7*x^2-4*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A311932 3.28165 [(x^2+x+1)*(x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311932 4.74266 [(x^2+x+1)*(x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311938 3.80455 [(x^14+x^13+x^12+3*x^11+6*x^9-2*x^8+10*x^7-2*x^6+6*x^5+3*x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x-1)^2/(x^6+x^3+1)^2 ogf] A311943 5.20623 [(x^8+3*x^7+4*x^6+4*x^5+2*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311943 5.53942 [(x^8+3*x^7+4*x^6+4*x^5+2*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311958 3.89005 [(x^10+2*x^9+2*x^8+3*x^7+x^6+4*x^5+x^4+3*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A311964 5.23564 [(x^2+x+1)*(x^6+x^5-x^4+x^3-x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311964 5.57072 [(x^2+x+1)*(x^6+x^5-x^4+x^3-x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A311966 3.5328 [-(2*x^13-3*x^12-5*x^11-6*x^10-13*x^9-12*x^8-10*x^7-14*x^6-12*x^5-12*x^4-10*x^3-7*x^2-4*x-1)/(x^2+1)/(x^6+x^3+1)/(x+1)^2/(x-1)^2 ogf] A311972 3.97947 [(x^2+x+1)*(x^10+x^9+x^8+3*x^7+6*x^5+3*x^3+x^2+x+1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311972 4.12160 [(x^2+x+1)*(x^10+x^9+x^8+3*x^7+6*x^5+3*x^3+x^2+x+1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A311973 4.61152 [-(x^11-x^10+2*x^9-2*x^8-x^6-4*x^5-x^4-3*x^3-2*x^2-2*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A311980 3.38029 [-(x^16+x^14-3*x^11-3*x^10-11*x^9-7*x^8-13*x^7-11*x^6-13*x^5-10*x^4-9*x^3-7*x^2-4*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A311991 3.38029 [-(x^15+x^13-2*x^12-3*x^11-11*x^10-12*x^9-20*x^8-23*x^7-25*x^6-23*x^5-17*x^4-13*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311991 4.16970 [-(x^15+x^13-2*x^12-3*x^11-11*x^10-12*x^9-20*x^8-23*x^7-25*x^6-23*x^5-17*x^4-13*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A311993 4.61619 [(x^10+3*x^9+4*x^8+5*x^7+4*x^6+6*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311993 5.45219 [(x^10+3*x^9+4*x^8+5*x^7+4*x^6+6*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A311994 3.33177 [(x^12+3*x^11+4*x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311994 4.76945 [(x^12+3*x^11+4*x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+5*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A311998 4.07216 [-(x^11+x^10-x^9+x^8-5*x^7-x^6-7*x^5-4*x^4-5*x^3-4*x^2-3*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A311998 5.15807 [-(x^11+x^10-x^9+x^8-5*x^7-x^6-7*x^5-4*x^4-5*x^3-4*x^2-3*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312006 3.42545 [(x^11+4*x^10+9*x^9+13*x^8+16*x^7+18*x^6+16*x^5+17*x^4+13*x^3+8*x^2+4*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312006 4.71586 [(x^11+4*x^10+9*x^9+13*x^8+16*x^7+18*x^6+16*x^5+17*x^4+13*x^3+8*x^2+4*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312014 3.22926 [(x^12+x^11+x^10+3*x^9+x^8+2*x^7+4*x^6+2*x^5+x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312049 3.06384 [-(x^2+1)*(x^15-x^14+x^12-x^11-x^10-2*x^9-3*x^8-2*x^7-4*x^6-4*x^5-3*x^4-3*x^3-2*x^2-2*x-1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312065 5.91819 [(x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312065 6.12768 [(x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312067 3.51284 [-(x^16-x^15-x^14-x^13-5*x^12-3*x^11-7*x^10-6*x^9-8*x^8-9*x^7-7*x^6-7*x^5-5*x^4-5*x^3-3*x^2-2*x-1)/(x-1)^2/(x^4+1)^2/(x^2+1)^2 ogf] A312068 3.56922 [(x^2+1)*(x^2+x+1)*(x^6-x^4+2*x^3-x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312068 4.74266 [(x^2+1)*(x^2+x+1)*(x^6-x^4+2*x^3-x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312070 3.39426 [(x^2+x+1)*(x^12-x^11+x^10+x^9-3*x^8+5*x^7-5*x^6+5*x^5-3*x^4+x^3+x^2-x+1)*(x+1)^2/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A312077 3.91202 [(x^2+1)*(x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312100 5.36766 [(x^2+1)*(x^6+x^5+x^3+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312100 5.45219 [(x^2+1)*(x^6+x^5+x^3+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312101 3.41343 [(x^12+2*x^11+2*x^10+3*x^9+2*x^8+2*x^7+3*x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312106 3.93425 [(x^2+x+1)*(x^12+x^11+x^10+3*x^9+x^8+3*x^7+4*x^6+3*x^5+x^4+3*x^3+x^2+x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A312113 4.32509 [(x^8+x^7+x^6+x^5-x^4+x^3+x^2+x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312113 4.61152 [(x^8+x^7+x^6+x^5-x^4+x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312118 3.49711 [-(x^14+x^13-2*x^12-4*x^11-10*x^10-13*x^9-18*x^8-18*x^7-18*x^6-19*x^5-17*x^4-13*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312118 3.95673 [-(x^14+x^13-2*x^12-4*x^11-10*x^10-13*x^9-18*x^8-18*x^7-18*x^6-19*x^5-17*x^4-13*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312122 4.32768 [-(x+1)*(x^11-2*x^9-2*x^8-7*x^7-8*x^6-11*x^5-10*x^4-8*x^3-5*x^2-3*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312122 4.74266 [-(x+1)*(x^11-2*x^9-2*x^8-7*x^7-8*x^6-11*x^5-10*x^4-8*x^3-5*x^2-3*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312123 4.86951 [(x^10+x^9+2*x^7+x^5+2*x^3+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312123 5.19657 [(x^10+x^9+2*x^7+x^5+2*x^3+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312125 3.58938 [(x^2+1)*(x^4+x^3+x^2+x+1)*(x^6+2*x^5-x^3+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312125 4.76945 [(x^2+1)*(x^4+x^3+x^2+x+1)*(x^6+2*x^5-x^3+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312140 6.38844 [(x^2+x+1)*(x^4+x^3-x^2+x+1)/(x-1)^2/(x^4+1) ogf] A312140 7.48753 [(x^2+x+1)*(x^4+x^3-x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A312143 3.91202 [(x^10+2*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312144 4.09612 [(x^10+2*x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312144 4.16970 [(x^10+2*x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312151 3.39928 [(x^4-x^3+x^2-x+1)*(x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312151 4.79625 [(x^4-x^3+x^2-x+1)*(x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312152 4.21839 [(x^10+3*x^9+4*x^8+4*x^7+2*x^6+x^5+2*x^4+4*x^3+4*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312152 4.40410 [(x^10+3*x^9+4*x^8+4*x^7+2*x^6+x^5+2*x^4+4*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312160 4.67342 [(x^4+2*x^3+x^2+2*x+1)*(x^4+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312160 7.17876 [(x^4+2*x^3+x^2+2*x+1)*(x^4+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312162 4.4602 [(x^2+x+1)*(x^8+x^7+2*x^5+2*x^3+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312163 3.33727 [(x^2+x+1)*(x^10+2*x^9+x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312163 4.82304 [(x^2+x+1)*(x^10+2*x^9+x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312169 3.42786 [-(x^17-x^16+x^12-x^11-2*x^10-5*x^8-5*x^6+x^5-3*x^4-3*x^3-2*x^2-2*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312182 4.22024 [(x^18+2*x^15+2*x^12+4*x^10-4*x^9+4*x^8+2*x^6+2*x^3+1)*(x+1)^2/(x^6+x^3+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A312183 5.75488 [(x^2+1)*(x^2-x+1)*(x+1)^4/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312183 6.38844 [(x^2-x+1)*(x^2+1)*(x+1)^4/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312184 4.09612 [(x^10+x^8+x^7+x^5+x^3+x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312185 3.44952 [(x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312185 4.79625 [(x^10+x^9+x^8+2*x^7+x^6+x^5+x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312193 4.67342 [(x^2+x+1)*(x^6+x^5+x^3+x^2+1)*(x^6+x^4+x^3+x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A312194 3.43261 [(x^12+2*x^11+2*x^10+3*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312195 4.82932 [(x^2+1)*(x^6+x^3+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312205 4.69968 [(x^8+2*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A312205 5.78721 [(x^8+2*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A312206 4.48512 [(x^4+x^3+x^2+x+1)*(x^6-x^4+2*x^3-x^2+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312206 4.66334 [(x^4+x^3+x^2+x+1)*(x^6-x^4+2*x^3-x^2+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312207 4.82932 [(x^8+x^7+x^6+2*x^5+x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312207 5.51380 [(x^8+x^7+x^6+2*x^5+x^4+2*x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312208 6.97192 [(x^6+x^5+x^3+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312208 7.57166 [(x^6+x^5+x^3+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312209 3.78583 [(x^8+x^7+x^5+x^4+x^3+x+1)*(x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312209 4.82304 [(x^8+x^7+x^5+x^4+x^3+x+1)*(x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312210 3.45178 [(x^12+2*x^11+2*x^10+3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+2*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312226 3.8246 [-(2*x^10-3*x^9-2*x^8-12*x^7-12*x^6-17*x^5-13*x^4-14*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312226 5.07114 [-(2*x^10-3*x^9-2*x^8-12*x^7-12*x^6-17*x^5-13*x^4-14*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312245 3.14391 [(x^12+4*x^11+8*x^10+14*x^9+16*x^8+19*x^7+20*x^6+19*x^5+16*x^4+14*x^3+8*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312245 4.41356 [(x^12+4*x^11+8*x^10+14*x^9+16*x^8+19*x^7+20*x^6+19*x^5+16*x^4+14*x^3+8*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312247 3.58602 [-(2*x^11-3*x^10-4*x^9-7*x^8-11*x^7-14*x^6-12*x^5-12*x^4-11*x^3-7*x^2-4*x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A312247 4.07406 [-(2*x^11-3*x^10-4*x^9-7*x^8-11*x^7-14*x^6-12*x^5-12*x^4-11*x^3-7*x^2-4*x-1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A312279 3.51486 [-(2*x^13-3*x^12-2*x^11-12*x^10-10*x^9-20*x^8-22*x^7-22*x^6-22*x^5-16*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312279 4.38246 [-(2*x^13-3*x^12-2*x^11-12*x^10-10*x^9-20*x^8-22*x^7-22*x^6-22*x^5-16*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312284 3.7632 [-(2*x^12-x^11-5*x^10-14*x^9-22*x^8-34*x^7-36*x^6-36*x^5-30*x^4-22*x^3-12*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312284 4.07311 [-(2*x^12-x^11-5*x^10-14*x^9-22*x^8-34*x^7-36*x^6-36*x^5-30*x^4-22*x^3-12*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312289 4.88309 [(x^8+3*x^7+4*x^6+6*x^5+2*x^4+6*x^3+4*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312289 6.31666 [(x^8+3*x^7+4*x^6+6*x^5+2*x^4+6*x^3+4*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312300 3.74466 [-(2*x^16+2*x^15+2*x^14+2*x^13-2*x^11-4*x^10-4*x^9-5*x^8-6*x^7-10*x^6-14*x^5-14*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312300 4.09504 [-(2*x^16+2*x^15+2*x^14+2*x^13-2*x^11-4*x^10-4*x^9-5*x^8-6*x^7-10*x^6-14*x^5-14*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312304 5.20623 [-(2*x^9-3*x^8-2*x^7-12*x^6-14*x^5-14*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312304 5.91819 [-(2*x^9-3*x^8-2*x^7-12*x^6-14*x^5-14*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312360 3.44492 [(x^15+3*x^14+5*x^13+9*x^12+8*x^11+14*x^10+13*x^9+18*x^8+15*x^7+15*x^6+13*x^5+8*x^4+9*x^3+5*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A312373 3.93425 [-(2*x^14-3*x^13-2*x^12-10*x^11-14*x^10-19*x^9-19*x^8-27*x^7-23*x^6-21*x^5-17*x^4-14*x^3-8*x^2-4*x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A312379 3.66364 [-(2*x^13-3*x^12-2*x^11-12*x^10-12*x^9-18*x^8-16*x^7-21*x^6-18*x^5-16*x^4-14*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312379 4.17125 [-(2*x^13-3*x^12-2*x^11-12*x^10-12*x^9-18*x^8-16*x^7-21*x^6-18*x^5-16*x^4-14*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312380 3.4085 [(x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+4*x+1)*(x^2+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312402 3.51284 [(x^12+2*x^11+3*x^10+6*x^9+3*x^8+8*x^7+4*x^6+8*x^5+3*x^4+6*x^3+3*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312411 3.91202 [(x^10+5*x^9+14*x^8+22*x^7+29*x^6+32*x^5+31*x^4+22*x^3+12*x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A312411 4.38246 [(x^10+5*x^9+14*x^8+22*x^7+29*x^6+32*x^5+31*x^4+22*x^3+12*x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A312436 3.12605 [(x^14+3*x^13+4*x^12+7*x^11+7*x^10+8*x^9+9*x^8+10*x^7+9*x^6+8*x^5+7*x^4+7*x^3+4*x^2+3*x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312445 3.01056 [(x^14+2*x^13+2*x^12+4*x^11+x^10+6*x^9+2*x^8+6*x^7+2*x^6+6*x^5+x^4+4*x^3+2*x^2+2*x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312455 2.85691 [(x^2+x+1)*(x^14+x^13+3*x^11-3*x^10+4*x^9+2*x^7+4*x^5-3*x^4+3*x^3+x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312471 4.35489 [-(2*x^13-3*x^12-6*x^11-6*x^10-7*x^8-12*x^7-10*x^6-6*x^5-5*x^4-6*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A312472 3.31305 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312472 4.74266 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312475 6.35255 [(x^2+1)*(x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312475 7.44546 [(x^2+1)*(x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312477 3.6064 [-(x^2+1)*(2*x^11-3*x^10-4*x^9-7*x^8-10*x^7-13*x^6-12*x^5-11*x^4-10*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312477 4.38246 [-(x^2+1)*(2*x^11-3*x^10-4*x^9-7*x^8-10*x^7-13*x^6-12*x^5-11*x^4-10*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312478 3.51486 [-(2*x^13-3*x^12-2*x^11-12*x^10-10*x^9-22*x^8-22*x^7-24*x^6-22*x^5-18*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312478 4.38246 [-(2*x^13-3*x^12-2*x^11-12*x^10-10*x^9-22*x^8-22*x^7-24*x^6-22*x^5-18*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312484 4.61619 [(x^10+3*x^9+4*x^8+6*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312484 5.45219 [(x^10+3*x^9+4*x^8+6*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312486 4.3008 [-(2*x^11-3*x^10-2*x^9-10*x^8-16*x^7-18*x^6-20*x^5-18*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312486 5.01759 [-(2*x^11-3*x^10-2*x^9-10*x^8-16*x^7-18*x^6-20*x^5-18*x^4-14*x^3-8*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312487 3.78446 [-(2*x^12-x^11-5*x^10-14*x^9-22*x^8-36*x^7-38*x^6-38*x^5-32*x^4-22*x^3-12*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312487 4.09612 [-(2*x^12-x^11-5*x^10-14*x^9-22*x^8-36*x^7-38*x^6-38*x^5-32*x^4-22*x^3-12*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312506 4.93858 [(x^8+2*x^7+2*x^6+4*x^5+4*x^3+2*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A312506 6.1623 [(x^8+2*x^7+2*x^6+4*x^5+4*x^3+2*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A312507 3.33177 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312507 4.76945 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312518 3.23879 [-(x+1)*(2*x^14-5*x^13+3*x^12-14*x^11+x^10-18*x^9-8*x^8-18*x^7-12*x^6-14*x^5-9*x^4-9*x^3-5*x^2-3*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312526 4.37950 [(x^10+x^9+3*x^7-3*x^6+5*x^5-3*x^4+3*x^3+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312526 4.64227 [(x^10+x^9+3*x^7-3*x^6+5*x^5-3*x^4+3*x^3+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312528 3.25393 [(x^2+1)*(x^2+x+1)*(x^10+2*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+2*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312549 4.93858 [(x^8+3*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312549 6.38844 [(x^8+3*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312555 4.93858 [(x^6+2*x^5+x^3+2*x+1)*(x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312555 7.17876 [(x^6+2*x^5+x^3+2*x+1)*(x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312556 3.35049 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312556 4.79625 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312561 4.19313 [(x^10+2*x^9+2*x^8+4*x^7+6*x^5+4*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312561 4.32254 [(x^10+2*x^9+2*x^8+4*x^7+6*x^5+4*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312562 3.36921 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312562 4.82304 [(x^12+3*x^11+4*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312589 4.07216 [(x^11+3*x^10+5*x^9+9*x^8+10*x^7+13*x^6+12*x^5+10*x^4+9*x^3+5*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312606 3.36396 [(x^2+1)*(x^10+3*x^9+3*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312606 4.76945 [(x^2+1)*(x^10+3*x^9+3*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312613 3.55458 [-(x^2+1)*(x^14-x^13+x^12-2*x^10+2*x^9-x^8-6*x^7-3*x^6-x^5-2*x^4-3*x^3-3*x^2-3*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312614 3.13667 [(x^4+2*x^3+x^2+2*x+1)*(x^10+3*x^9+5*x^8+7*x^7+7*x^6+7*x^5+7*x^4+7*x^3+5*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A312620 4.52169 [(x^10+2*x^9+x^8+2*x^7+2*x^5+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312620 4.61152 [(x^10+2*x^9+x^8+2*x^7+2*x^5+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312626 4.14488 [-(x^13-2*x^10-4*x^9-8*x^8-10*x^7-11*x^6-10*x^5-11*x^4-10*x^3-7*x^2-4*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A312626 4.80234 [-(x^13-2*x^10-4*x^9-8*x^8-10*x^7-11*x^6-10*x^5-11*x^4-10*x^3-7*x^2-4*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A312638 2.91356 [(x^12+x^11+x^10+3*x^9-x^8+x^7+3*x^6+x^5-x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312638 4.24598 [(x^12+x^11+x^10+3*x^9-x^8+x^7+3*x^6+x^5-x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312647 3.6064 [-(x^2+1)*(2*x^11-3*x^10-4*x^9-7*x^8-10*x^7-15*x^6-12*x^5-13*x^4-10*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312647 4.38246 [-(x^2+1)*(2*x^11-3*x^10-4*x^9-7*x^8-10*x^7-15*x^6-12*x^5-13*x^4-10*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312655 5.95162 [(x^2+1)*(x^4+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312655 6.1623 [(x^2+1)*(x^4+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312656 3.44952 [(x^10+x^9+x^8+3*x^7-x^6+3*x^5-x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312656 4.79625 [(x^10+x^9+x^8+3*x^7-x^6+3*x^5-x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312658 3.934 [(x^10+2*x^9+2*x^8+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312668 3.40176 [(x^10+3*x^9+3*x^8+3*x^7+3*x^6+x^5+3*x^4+3*x^3+3*x^2+3*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312668 4.82304 [(x^10+3*x^9+3*x^8+3*x^7+3*x^6+x^5+3*x^4+3*x^3+3*x^2+3*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312669 4.82932 [(x^8+x^7+x^6+3*x^5-x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312669 5.51380 [(x^8+x^7+x^6+3*x^5-x^4+3*x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312673 3.43025 [(x^14+4*x^13+8*x^12+14*x^11+20*x^10+25*x^9+29*x^8+31*x^7+28*x^6+25*x^5+20*x^4+14*x^3+8*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312673 4.14488 [(x^14+4*x^13+8*x^12+14*x^11+20*x^10+25*x^9+29*x^8+31*x^7+28*x^6+25*x^5+20*x^4+14*x^3+8*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312675 3.57444 [-(x^16-x^15-x^14-x^13-5*x^12-4*x^11-7*x^10-8*x^9-7*x^8-12*x^7-6*x^6-9*x^5-5*x^4-6*x^3-3*x^2-2*x-1)/(x-1)^2/(x^4+1)^2/(x^2+1)^2 ogf] A312680 4.96633 [(x^2+1)*(x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312680 6.42433 [(x^2+1)*(x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312681 3.36921 [(x^12+3*x^11+4*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312681 4.82304 [(x^12+3*x^11+4*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312682 6.46022 [(x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x-1)^2/(x^4+1) ogf] A312682 7.91196 [(x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^4+1)/(x-1)^2 ogf] A312683 4.72593 [(x^2+1)*(x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312683 5.54460 [(x^2+1)*(x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312684 4.00043 [(x^2+1)*(x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312685 3.42066 [(x^2+1)*(x^10+3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312685 4.84984 [(x^2+1)*(x^10+3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312706 3.50126 [-(2*x^17-2*x^15+2*x^14-2*x^12-3*x^10-x^9-4*x^8-13*x^7-5*x^6-8*x^5-11*x^4-7*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^2/(x^2-x+1)^2 ogf] A312722 4.80235 [(x^2+1)*(x^2+x+1)*(x^6+3*x^5+3*x^4+5*x^3+3*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312722 5.44016 [(x^2+1)*(x^2+x+1)*(x^6+3*x^5+3*x^4+5*x^3+3*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312736 4.04849 [-(2*x^11-5*x^10+x^9-8*x^8-4*x^7-11*x^6-8*x^5-7*x^4-8*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A312736 4.12036 [-(2*x^11-5*x^10+x^9-8*x^8-4*x^7-11*x^6-8*x^5-7*x^4-8*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A312751 4.21839 [-(2*x^13-3*x^12-6*x^11-6*x^10-x^9-9*x^8-13*x^7-9*x^6-7*x^5-7*x^4-7*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A312752 4.21655 [-(2*x^13-3*x^12-6*x^11-5*x^10-3*x^9-9*x^8-11*x^7-11*x^6-7*x^5-7*x^4-7*x^3-6*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A312761 4.37658 [-(2*x^15+2*x^13-2*x^11-2*x^9-3*x^8-4*x^7-12*x^6-16*x^5-14*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312761 4.86286 [-(2*x^15+2*x^13-2*x^11-2*x^9-3*x^8-4*x^7-12*x^6-16*x^5-14*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312790 4.09398 [-(2*x^11-5*x^10+x^9-8*x^8-5*x^7-11*x^6-8*x^5-7*x^4-9*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^2/(x^2-x+1)^2 ogf] A312790 4.16665 [-(2*x^11-5*x^10+x^9-8*x^8-5*x^7-11*x^6-8*x^5-7*x^4-9*x^3-4*x^2-3*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A312797 3.57444 [-(2*x^13-3*x^12-2*x^11-12*x^10-12*x^9-24*x^8-26*x^7-24*x^6-26*x^5-20*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312797 4.45673 [-(2*x^13-3*x^12-2*x^11-12*x^10-12*x^9-24*x^8-26*x^7-24*x^6-26*x^5-20*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312812 3.57444 [-(2*x^13-3*x^12-2*x^11-10*x^10-16*x^9-24*x^8-24*x^7-28*x^6-24*x^5-22*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312812 4.45673 [-(2*x^13-3*x^12-2*x^11-10*x^10-16*x^9-24*x^8-24*x^7-28*x^6-24*x^5-22*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312822 4.21474 [-(2*x^13-3*x^12-6*x^11-4*x^10-6*x^9-11*x^8-10*x^7-10*x^6-8*x^5-9*x^4-8*x^3-6*x^2-4*x-1)/(x+1)^2/(x-1)^2/(x^4+1)^2 ogf] A312823 3.95598 [-(2*x^15-3*x^14-2*x^13-11*x^12-15*x^11-22*x^10-30*x^9-30*x^8-32*x^7-30*x^6-27*x^5-23*x^4-16*x^3-8*x^2-4*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312827 3.68434 [-(2*x^13-3*x^12-2*x^11-12*x^10-16*x^9-19*x^8-16*x^7-24*x^6-18*x^5-17*x^4-18*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312827 4.19482 [-(2*x^13-3*x^12-2*x^11-12*x^10-16*x^9-19*x^8-16*x^7-24*x^6-18*x^5-17*x^4-18*x^3-8*x^2-4*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A312835 3.33389 [(x^14+4*x^13+9*x^12+11*x^11+15*x^10+19*x^9+24*x^8+26*x^7+24*x^6+17*x^5+15*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312835 4.02845 [(x^14+4*x^13+9*x^12+11*x^11+15*x^10+19*x^9+24*x^8+26*x^7+24*x^6+17*x^5+15*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312839 4.68378 [(x^10+4*x^9+9*x^8+12*x^7+17*x^6+19*x^5+17*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312839 5.37903 [(x^10+4*x^9+9*x^8+12*x^7+17*x^6+19*x^5+17*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312840 3.37243 [(x^14+4*x^13+9*x^12+12*x^11+17*x^10+20*x^9+25*x^8+26*x^7+26*x^6+19*x^5+18*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312840 4.07502 [(x^14+4*x^13+9*x^12+12*x^11+17*x^10+20*x^9+25*x^8+26*x^7+26*x^6+19*x^5+18*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312841 4.68378 [(x^10+4*x^9+9*x^8+12*x^7+17*x^6+18*x^5+18*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312841 5.37903 [(x^10+4*x^9+9*x^8+12*x^7+17*x^6+18*x^5+18*x^4+11*x^3+9*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312842 3.42545 [(x^15+3*x^14+6*x^13+5*x^12+13*x^11+8*x^10+17*x^9+13*x^8+17*x^7+15*x^6+8*x^5+13*x^4+5*x^3+6*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A312843 3.89005 [(x^14+2*x^13+4*x^12+2*x^11+10*x^10+x^9+14*x^8+2*x^7+15*x^6-x^5+12*x^4+x^3+4*x^2+2*x+1)/(x-1)^2/(x^4+1)^2/(x^2+1)^2 ogf] A312850 3.11513 [(x^2+1)*(x^16+2*x^15+3*x^14+4*x^12+2*x^11+6*x^10+11*x^8+6*x^6+2*x^5+4*x^4+3*x^2+2*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A312851 3.8898 [(x^14+2*x^13+4*x^12+2*x^11+7*x^10+2*x^9+13*x^8+x^7+13*x^6+2*x^5+7*x^4+2*x^3+4*x^2+2*x+1)/(x-1)^2/(x^4+1)^2/(x^2+1)^2 ogf] A312858 3.58771 [(x^12+3*x^11+5*x^10+3*x^9+5*x^8+8*x^7+10*x^6+8*x^5+5*x^4+3*x^3+5*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A312865 4.67857 [(x^10+2*x^9+4*x^8+2*x^7+10*x^6+2*x^5+10*x^4+2*x^3+4*x^2+2*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312877 3.42545 [(x^15+3*x^14+6*x^13+7*x^12+9*x^11+12*x^10+13*x^9+17*x^8+15*x^7+15*x^6+10*x^5+9*x^4+7*x^3+6*x^2+3*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A312890 4.14769 [(x^10+3*x^9+5*x^8+3*x^7+x^6-x^5+x^4+3*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312890 4.33029 [(x^10+3*x^9+5*x^8+3*x^7+x^6-x^5+x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312891 3.29434 [(x^12+3*x^11+5*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312891 4.71586 [(x^12+3*x^11+5*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312892 3.80396 [(x^2+x+1)*(x^8+x^7+x^6-x^5+3*x^4-x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312893 4.59011 [(x^10+3*x^9+5*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312893 5.42139 [(x^10+3*x^9+5*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312894 4.62091 [(x^8+2*x^7+3*x^6+x^5+3*x^4+x^3+3*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A312894 5.69022 [(x^8+2*x^7+3*x^6+x^5+3*x^4+x^3+3*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A312895 5.02566 [(x^2+x+1)*(x^6+2*x^5+2*x^4+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312895 6.31666 [(x^2+x+1)*(x^6+2*x^5+2*x^4+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312896 3.39426 [(x^12+2*x^11+3*x^10+x^9+3*x^8+x^7+4*x^6+x^5+3*x^4+x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312897 3.55091 [(x^10+2*x^9+2*x^8+2*x^6+2*x^5+2*x^4+2*x^2+2*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312897 4.74266 [(x^10+2*x^9+2*x^8+2*x^6+2*x^5+2*x^4+2*x^2+2*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312901 5.36766 [(29*f(x)+32)*(f(x)*x^4-f(x)*x^3-x^4-3*x^3-f(x)*x-5*x^2+f(x)-3*x-1) ogf] A312901 8.99257 [(x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x-1)^2 ogf] A312902 3.41098 [(x^10+x^9+2*x^8-x^7+4*x^6-2*x^5+4*x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312902 4.74266 [(x^10+x^9+2*x^8-x^7+4*x^6-2*x^5+4*x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312903 3.89005 [(x^10+2*x^9+3*x^8+x^7+3*x^6+2*x^5+3*x^4+x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312907 3.74285 [(x^10+3*x^9+6*x^8+7*x^7+10*x^6+12*x^5+10*x^4+7*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312908 4.77537 [(x^8+x^7+2*x^6-x^5+4*x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312908 5.45219 [(x^8+x^7+2*x^6-x^5+4*x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312909 4.17125 [(x^10+3*x^9+5*x^8+3*x^7+x^6+x^5+x^4+3*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312909 4.35489 [(x^10+3*x^9+5*x^8+3*x^7+x^6+x^5+x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312926 4.07311 [(x^10+2*x^9+2*x^8-x^7+2*x^6+x^5+2*x^4-x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312926 4.14628 [(x^10+2*x^9+2*x^8-x^7+2*x^6+x^5+2*x^4-x^3+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312927 3.31305 [(x^12+3*x^11+5*x^10+4*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312927 4.74266 [(x^12+3*x^11+5*x^10+4*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312928 6.35255 [(x^6+3*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312928 7.44546 [(x^6+3*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312932 4.61619 [(x^10+3*x^9+5*x^8+4*x^7+5*x^6+4*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312932 5.45219 [(x^10+3*x^9+5*x^8+4*x^7+5*x^6+4*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312933 5.36766 [(x^8+2*x^7+2*x^6-x^5+x^4-x^3+2*x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312933 5.53942 [(x^8+2*x^7+2*x^6-x^5+x^4-x^3+2*x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312935 3.33177 [(x^12+3*x^11+5*x^10+4*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312935 4.76945 [(x^12+3*x^11+5*x^10+4*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312938 3.97909 [(x^12+4*x^11+9*x^10+12*x^9+14*x^8+14*x^7+13*x^6+14*x^5+14*x^4+12*x^3+9*x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A312938 4.46372 [(x^12+4*x^11+9*x^10+12*x^9+14*x^8+14*x^7+13*x^6+14*x^5+14*x^4+12*x^3+9*x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A312941 5.20623 [(x^7+3*x^6+5*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312941 6.85572 [(x^7+3*x^6+5*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A312943 6.35255 [(x^6+2*x^5+2*x^4-x^3+2*x^2+2*x+1)/(x-1)^2/(x^4+1) ogf] A312943 7.78009 [(x^6+2*x^5+2*x^4-x^3+2*x^2+2*x+1)/(x^4+1)/(x-1)^2 ogf] A312944 3.33177 [(x^12+3*x^11+5*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312944 4.76945 [(x^12+3*x^11+5*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312948 3.91202 [(x^10+2*x^9+3*x^8+x^7+4*x^6+x^5+4*x^4+x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312950 5.95162 [(x^8+3*x^7+4*x^6-2*x^4+4*x^2+3*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312956 3.78376 [(x^12+4*x^11+9*x^10+14*x^9+18*x^8+23*x^7+24*x^6+24*x^5+18*x^4+13*x^3+9*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312956 4.67857 [(x^12+4*x^11+9*x^10+14*x^9+18*x^8+23*x^7+24*x^6+24*x^5+18*x^4+13*x^3+9*x^2+4*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A312960 7.17876 [-(x^7-x^5-2*x^4-3*x^3-5*x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A312960 7.48753 [-(x^7-x^5-2*x^4-3*x^3-5*x^2-3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A312961 3.44952 [(x^10+x^9+2*x^8-x^7+5*x^6-3*x^5+5*x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312961 4.79625 [(x^10+x^9+2*x^8-x^7+5*x^6-3*x^5+5*x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312963 4.21839 [(x^10+3*x^9+5*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312963 4.40410 [(x^10+3*x^9+5*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312969 3.95673 [(x^10+x^9+x^8-x^7+5*x^6-5*x^5+5*x^4-x^3+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312969 4.17125 [(x^10+x^9+x^8-x^7+5*x^6-5*x^5+5*x^4-x^3+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A312970 3.53472 [(x^2+x+1)*(x^2-x+1)*(x^8+4*x^7+7*x^6+5*x^5+3*x^4+5*x^3+7*x^2+4*x+1)*(x^2+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312970 4.14488 [(x^2+x+1)*(x^2-x+1)*(x^8+4*x^7+7*x^6+5*x^5+3*x^4+5*x^3+7*x^2+4*x+1)*(x^2+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312974 4.93858 [(x^8+3*x^7+5*x^6+4*x^5+6*x^4+4*x^3+5*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312974 6.38844 [(x^8+3*x^7+5*x^6+4*x^5+6*x^4+4*x^3+5*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312975 5.23564 [(x^8+2*x^7+2*x^6+4*x^4+2*x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312975 7.17876 [(x^8+2*x^7+2*x^6+4*x^4+2*x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312976 3.35049 [(x^12+3*x^11+5*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312976 4.79625 [(x^12+3*x^11+5*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312979 4.00144 [(x^10+2*x^9+3*x^8+x^7+5*x^6+5*x^4+x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312979 4.11913 [(x^10+2*x^9+3*x^8+x^7+5*x^6+5*x^4+x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A312980 3.35049 [(x^12+3*x^11+5*x^10+4*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312980 4.79625 [(x^12+3*x^11+5*x^10+4*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+4*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312981 4.76945 [(x^2+x+1)*(x^8+3*x^7+5*x^6+5*x^5+10*x^4+5*x^3+5*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312981 5.44016 [(x^2+x+1)*(x^8+3*x^7+5*x^6+5*x^5+10*x^4+5*x^3+5*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A312982 3.3666 [-(2*x^17-2*x^16+x^14+x^13-3*x^12+3*x^11-3*x^10-4*x^9-6*x^8-4*x^7-6*x^6-3*x^5-7*x^4-4*x^3-5*x^2-3*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A312983 5.42831 [-(x^9-x^7-x^6-3*x^5-7*x^4-4*x^3-5*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312983 6.42433 [-(x^9-x^7-x^6-3*x^5-7*x^4-4*x^3-5*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A312984 3.43025 [(x^14+4*x^13+9*x^12+14*x^11+20*x^10+24*x^9+29*x^8+31*x^7+29*x^6+24*x^5+20*x^4+13*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312984 4.14488 [(x^14+4*x^13+9*x^12+14*x^11+20*x^10+24*x^9+29*x^8+31*x^7+29*x^6+24*x^5+20*x^4+13*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312985 3.43025 [(x^14+4*x^13+9*x^12+14*x^11+20*x^10+24*x^9+29*x^8+30*x^7+30*x^6+24*x^5+20*x^4+13*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312985 4.14488 [(x^14+4*x^13+9*x^12+14*x^11+20*x^10+24*x^9+29*x^8+30*x^7+30*x^6+24*x^5+20*x^4+13*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A312986 4.51387 [(x^12+2*x^11+3*x^10+x^9+7*x^8+x^7+8*x^6+x^5+7*x^4+x^3+3*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A312998 3.78376 [(x^10+3*x^9+6*x^8+8*x^7+9*x^6+12*x^5+9*x^4+8*x^3+6*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313002 3.23565 [(x^13+4*x^12+10*x^11+13*x^10+17*x^9+17*x^8+18*x^7+18*x^6+18*x^5+16*x^4+14*x^3+9*x^2+4*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313002 4.14628 [(x^13+4*x^12+10*x^11+13*x^10+17*x^9+17*x^8+18*x^7+18*x^6+18*x^5+16*x^4+14*x^3+9*x^2+4*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313005 4.14488 [-(x^2+x+1)*(x^14+x^13-x^10-3*x^8+2*x^7-3*x^6-4*x^5-4*x^4-6*x^3-5*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313020 4.02509 [-(x^2+1)*(x^12-x^10+x^9-x^8-6*x^7-9*x^6-9*x^5-10*x^4-10*x^3-8*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313020 4.73701 [-(x^2+1)*(x^12-x^10+x^9-x^8-6*x^7-9*x^6-9*x^5-10*x^4-10*x^3-8*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313023 3.39426 [(x^12+2*x^11+3*x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313024 3.56922 [(x^2+x+1)*(x^8+x^6-x^5+2*x^4-x^3+x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313024 4.74266 [(x^2+x+1)*(x^8+x^6-x^5+2*x^4-x^3+x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313025 3.89005 [(x^10+2*x^9+3*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313026 4.77537 [(x^2+1)*(x^6+x^5+x^4-x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313026 5.45219 [(x^2+1)*(x^6+x^5+x^4-x^3+x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313031 3.33177 [(x^12+3*x^11+5*x^10+5*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313031 4.76945 [(x^12+3*x^11+5*x^10+5*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313033 3.70394 [-(x^14-2*x^10-3*x^9-7*x^8-8*x^7-10*x^6-9*x^5-9*x^4-8*x^3-6*x^2-3*x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313033 4.12036 [-(x^14-2*x^10-3*x^9-7*x^8-8*x^7-10*x^6-9*x^5-9*x^4-8*x^3-6*x^2-3*x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313045 3.33177 [(x^12+3*x^11+5*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313045 4.76945 [(x^12+3*x^11+5*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313051 5.39799 [(x^6+x^5+2*x^4+2*x^2+x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313051 6.38844 [(x^6+x^5+2*x^4+2*x^2+x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313053 3.91202 [(x^10+2*x^9+3*x^8+2*x^7+2*x^6+3*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313054 3.1226 [(x^12+x^11+2*x^10+2*x^8+x^7+x^6+x^5+2*x^4+2*x^2+x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313054 4.24598 [(x^12+x^11+2*x^10+2*x^8+x^7+x^6+x^5+2*x^4+2*x^2+x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313057 4.32509 [(x^8+x^7+2*x^6-x^5+x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313057 4.61152 [(x^8+x^7+2*x^6-x^5+x^4-x^3+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313059 4.40722 [-(x^10-2*x^8-3*x^7-7*x^6-7*x^5-7*x^4-7*x^3-6*x^2-3*x-1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313059 4.9038 [-(x^10-2*x^8-3*x^7-7*x^6-7*x^5-7*x^4-7*x^3-6*x^2-3*x-1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313062 3.74466 [(x^10+x^9+2*x^8+2*x^6+x^5+2*x^4+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313062 4.79625 [(x^10+x^9+2*x^8+2*x^6+x^5+2*x^4+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313064 3.43261 [(x^12+2*x^11+3*x^10+2*x^9+2*x^8+3*x^7+3*x^6+3*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313072 3.55458 [-(2*x^13-3*x^12-2*x^11-13*x^10-10*x^9-22*x^8-24*x^7-26*x^6-24*x^5-18*x^4-14*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313072 4.43197 [-(2*x^13-3*x^12-2*x^11-13*x^10-10*x^9-22*x^8-24*x^7-26*x^6-24*x^5-18*x^4-14*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313073 3.60955 [(x^10+2*x^9+5*x^8+5*x^7+9*x^6+8*x^5+9*x^4+5*x^3+5*x^2+2*x+1)*(x+1)^2/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313075 3.80572 [-(x+1)*(x^13-2*x^11-3*x^10-7*x^9-6*x^8-8*x^7-7*x^6-8*x^5-7*x^4-7*x^3-6*x^2-3*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313075 4.00144 [-(x+1)*(x^13-2*x^11-3*x^10-7*x^9-6*x^8-8*x^7-7*x^6-8*x^5-7*x^4-7*x^3-6*x^2-3*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313076 4.21839 [(x^10+3*x^9+5*x^8+4*x^7+x^6+x^5+x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313076 4.40410 [(x^10+3*x^9+5*x^8+4*x^7+x^6+x^5+x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313078 4.34939 [(x^8+2*x^6-2*x^5+4*x^4-2*x^3+2*x^2+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313081 3.44952 [(x^14+4*x^13+9*x^12+14*x^11+18*x^10+25*x^9+30*x^8+32*x^7+30*x^6+25*x^5+18*x^4+14*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313081 4.16817 [(x^14+4*x^13+9*x^12+14*x^11+18*x^10+25*x^9+30*x^8+32*x^7+30*x^6+25*x^5+18*x^4+14*x^3+9*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313086 3.46438 [(x^12+4*x^11+10*x^10+18*x^9+27*x^8+32*x^7+38*x^6+32*x^5+27*x^4+18*x^3+10*x^2+4*x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313088 4.35489 [(x^10+x^9+x^8+2*x^6-x^5+2*x^4+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313088 4.61619 [(x^10+x^9+x^8+2*x^6-x^5+2*x^4+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313089 3.74376 [(x^4+x^3+x^2+x+1)*(x^8+2*x^7+2*x^6+2*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313089 4.76945 [(x^4+x^3+x^2+x+1)*(x^8+2*x^7+2*x^6+2*x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313090 6.38844 [(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313090 7.48753 [(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313092 3.23565 [(x^14+3*x^13+5*x^12+6*x^11+7*x^10+6*x^9+5*x^8+8*x^7+5*x^6+6*x^5+7*x^4+6*x^3+5*x^2+3*x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313094 4.9038 [-(x^14-x^10-x^8-5*x^7-9*x^6-15*x^5-17*x^4-14*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313094 5.52651 [-(x^14-x^10-x^8-5*x^7-9*x^6-15*x^5-17*x^4-14*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313097 3.33177 [(x^8+3*x^7+4*x^6+5*x^5+7*x^4+5*x^3+4*x^2+3*x+1)*(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313099 3.41343 [(x^12+2*x^11+3*x^10+2*x^9+3*x^8+x^7+4*x^6+x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313100 4.67342 [(x^2+1)*(x^6+2*x^5+x^4-x^3+x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313100 6.1623 [(x^2+1)*(x^6+2*x^5+x^4-x^3+x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313101 2.98375 [-(x^17-x^16+x^15-x^13+x^12-x^11-x^10-x^9-4*x^8+x^7-6*x^6+x^5-4*x^4-x^3-2*x^2-x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313103 4.21839 [(x^10+3*x^9+5*x^8+4*x^7+2*x^6-x^5+2*x^4+4*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313103 4.40410 [(x^10+3*x^9+5*x^8+4*x^7+2*x^6-x^5+2*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313110 5.95162 [(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313110 6.1623 [(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x-1)^2/(x^2-x+1)/(x^2+x+1) ogf] A313113 3.74466 [(x^10+x^9+2*x^8+3*x^6-x^5+3*x^4+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313113 4.79625 [(x^10+x^9+2*x^8+3*x^6-x^5+3*x^4+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313115 4.69968 [(x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313115 5.78721 [(x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313116 4.24395 [(x^2+x+1)*(x^8+x^7+x^6+2*x^4+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313117 3.43261 [(x^12+2*x^11+3*x^10+2*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313118 4.32254 [(x^8+x^7+2*x^4+x+1)*(x^2+x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313118 4.79625 [(x^8+x^7+2*x^4+x+1)*(x^2+x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313119 6.70633 [(x^8+2*x^7+2*x^6+2*x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313119 6.97192 [(x^8+2*x^7+2*x^6+2*x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313121 4.34939 [-(x^2+1)*(x^6-x^5-2*x^4-x^3-3*x^2-2*x-1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313121 5.22576 [-(x^2+1)*(x^6-x^5-2*x^4-x^3-3*x^2-2*x-1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313124 3.35049 [(x^12+3*x^11+5*x^10+5*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313124 4.79625 [(x^12+3*x^11+5*x^10+5*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313125 5.42831 [(x^8+x^7+2*x^6+3*x^4+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313125 5.51380 [(x^8+x^7+2*x^6+3*x^4+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313126 4.57249 [(x^10+2*x^9+2*x^8+x^6+3*x^5+x^4+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313126 4.66334 [(x^10+2*x^9+2*x^8+x^6+3*x^5+x^4+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313127 6.01850 [(x^6+x^5+x^4-x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313127 6.46022 [(x^6+x^5+x^4-x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313128 3.41827 [(x^4-x^3+x^2-x+1)*(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313128 4.82304 [(x^4-x^3+x^2-x+1)*(x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313129 4.24195 [(x^10+3*x^9+5*x^8+4*x^7+2*x^6+x^5+2*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313129 4.42870 [(x^10+3*x^9+5*x^8+4*x^7+2*x^6+x^5+2*x^4+4*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313136 4.76945 [(x^10+2*x^9+2*x^8+2*x^6+2*x^4+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313136 4.86951 [(x^10+2*x^9+2*x^8+2*x^6+2*x^4+2*x^2+2*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313137 3.38286 [(x^2+1)*(x^10+3*x^9+4*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313137 4.79625 [(x^2+1)*(x^10+3*x^9+4*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+4*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313141 3.55458 [-(2*x^13-3*x^12-2*x^11-11*x^10-14*x^9-22*x^8-24*x^7-28*x^6-24*x^5-20*x^4-14*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313141 4.43197 [-(2*x^13-3*x^12-2*x^11-11*x^10-14*x^9-22*x^8-24*x^7-28*x^6-24*x^5-20*x^4-14*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313144 4.67342 [(x^8+3*x^7+6*x^6+7*x^5+9*x^4+7*x^3+6*x^2+3*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313144 5.39799 [(x^8+3*x^7+6*x^6+7*x^5+9*x^4+7*x^3+6*x^2+3*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313145 3.43261 [(x^12+2*x^11+3*x^10+2*x^9+4*x^8+x^7+3*x^6+x^5+4*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313147 4.96633 [(x^8+3*x^7+5*x^6+5*x^5+6*x^4+5*x^3+5*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313147 6.42433 [(x^8+3*x^7+5*x^6+5*x^5+6*x^4+5*x^3+5*x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313148 3.36921 [(x^12+3*x^11+5*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313148 4.82304 [(x^12+3*x^11+5*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313152 6.97192 [(x^6+2*x^5+2*x^4+2*x^2+2*x+1)/(x-1)^2/(x^4+1) ogf] A313152 8.69338 [(x^6+2*x^5+2*x^4+2*x^2+2*x+1)/(x^4+1)/(x-1)^2 ogf] A313153 5.29447 [(x^4+1)*(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313153 5.54460 [(x^4+1)*(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313154 3.97796 [(x^10+2*x^9+3*x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313155 3.38792 [(x^12+3*x^11+5*x^10+5*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313155 4.84984 [(x^12+3*x^11+5*x^10+5*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+5*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313169 4.04929 [(x^14+4*x^13+8*x^12+11*x^11+9*x^10+7*x^9+9*x^8+13*x^7+9*x^6+7*x^5+9*x^4+11*x^3+8*x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A313170 3.55276 [(x^12+3*x^11+4*x^10+4*x^9+x^8+2*x^7+7*x^6+2*x^5+x^4+4*x^3+4*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x+1)^2/(x-1)^2 ogf] A313172 3.70504 [-(x^14+x^13+2*x^12+x^11-2*x^10-6*x^9-16*x^8-24*x^7-32*x^6-34*x^5-29*x^4-21*x^3-11*x^2-4*x-1)/(x-1)^2/(x^2+1)^2/(x^2+x+1)^2 ogf] A313173 3.80572 [-(2*x^12-x^11-5*x^10-15*x^9-24*x^8-37*x^7-39*x^6-39*x^5-33*x^4-24*x^3-13*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313173 4.11913 [-(2*x^12-x^11-5*x^10-15*x^9-24*x^8-37*x^7-39*x^6-39*x^5-33*x^4-24*x^3-13*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313174 6.78851 [(x^6+4*x^5+8*x^4+11*x^3+8*x^2+4*x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313174 7.06559 [(x^6+4*x^5+8*x^4+11*x^3+8*x^2+4*x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313193 5.95162 [(x^4+x^3+3*x^2+x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313193 6.63181 [(x^4+x^3+3*x^2+x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313196 3.24191 [-(x^18+2*x^16+x^14-2*x^13-3*x^11-x^10-5*x^9-7*x^8-12*x^7-13*x^6-14*x^5-13*x^4-11*x^3-7*x^2-3*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313201 4.93858 [(x^8+2*x^7+2*x^6+2*x^5+2*x^3+2*x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313201 6.63181 [(x^8+2*x^7+2*x^6+2*x^5+2*x^3+2*x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313204 3.764 [-(x^15-x^13+x^11-2*x^10-4*x^9-9*x^8-11*x^7-10*x^6-8*x^5-10*x^4-11*x^3-8*x^2-4*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A313204 4.29840 [-(x^15-x^13+x^11-2*x^10-4*x^9-9*x^8-11*x^7-10*x^6-8*x^5-10*x^4-11*x^3-8*x^2-4*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313212 3.35049 [(x^12+3*x^11+5*x^10+6*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+6*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313212 4.79625 [(x^12+3*x^11+5*x^10+6*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+6*x^3+5*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313213 3.43261 [(x^12+2*x^11+3*x^10+3*x^9+x^8+4*x^7+x^6+4*x^5+x^4+3*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313216 4.16817 [-(x^12-x^11+x^10-2*x^9+2*x^8-3*x^7-6*x^5-2*x^4-4*x^3-3*x^2-2*x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2 ogf] A313216 4.16817 [-(x^12-x^11+x^10-2*x^9+2*x^8-3*x^7-6*x^5-2*x^4-4*x^3-3*x^2-2*x-1)/(x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A313224 3.55458 [-(2*x^16+x^15+2*x^13-x^12-2*x^11-3*x^10-5*x^9-13*x^8-16*x^7-21*x^6-21*x^5-20*x^4-15*x^3-9*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313224 4.02444 [-(2*x^16+x^15+2*x^13-x^12-2*x^11-3*x^10-5*x^9-13*x^8-16*x^7-21*x^6-21*x^5-20*x^4-15*x^3-9*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313225 3.89029 [-(x^12-x^10-3*x^9-9*x^8-11*x^7-15*x^6-14*x^5-14*x^4-11*x^3-7*x^2-3*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313226 4.19313 [-(2*x^11-3*x^10-4*x^9-9*x^8-11*x^7-10*x^6-8*x^5-11*x^4-11*x^3-8*x^2-4*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A313226 4.86286 [-(2*x^11-3*x^10-4*x^9-9*x^8-11*x^7-10*x^6-8*x^5-11*x^4-11*x^3-8*x^2-4*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313228 3.74376 [(x^10+2*x^8-x^7+2*x^6-x^5+2*x^4-x^3+2*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313229 3.44952 [(x^10+x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313229 4.79625 [(x^10+x^9+2*x^8+x^7+x^6+x^5+x^4+x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313230 4.79625 [(x^10+2*x^9+4*x^8+5*x^7+6*x^6+7*x^5+6*x^4+5*x^3+4*x^2+2*x+1)/(x-1)^2/(x^2-x+1)^2/(x^2+x+1)^2 ogf] A313232 6.66907 [(x^2+x+1)*(x^2+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313232 7.52959 [(x^2+1)*(x^2+x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313236 3.39928 [-(x^17+x^13-2*x^12-5*x^11-10*x^10-15*x^9-21*x^8-25*x^7-27*x^6-24*x^5-20*x^4-15*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313236 4.19313 [-(x^17+x^13-2*x^12-5*x^11-10*x^10-15*x^9-21*x^8-25*x^7-27*x^6-24*x^5-20*x^4-15*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313237 4.69968 [(x^8+2*x^7+4*x^6+5*x^5+5*x^4+5*x^3+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313237 4.82932 [(x^8+2*x^7+4*x^6+5*x^5+5*x^4+5*x^3+4*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313240 3.72475 [(x^12+2*x^11+4*x^10+5*x^9+7*x^8+7*x^7+9*x^6+7*x^5+7*x^4+5*x^3+4*x^2+2*x+1)*(x+1)^2/(x^4+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313241 4.82932 [(x^8+x^7+2*x^6+x^5+x^4+x^3+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313241 5.51380 [(x^8+x^7+2*x^6+x^5+x^4+x^3+2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313246 3.43261 [(x^12+2*x^11+3*x^10+3*x^9+2*x^8+3*x^7+x^6+3*x^5+2*x^4+3*x^3+3*x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A313247 4.21839 [(x^6-x^4+2*x^3-x^2+1)*(x^2+x+1)^3/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313247 4.79625 [(x^6-x^4+2*x^3-x^2+1)*(x^2+x+1)^3/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313248 3.74555 [(x^12+x^11+x^10+x^9+x^8+3*x^7-x^6+3*x^5+x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2/(x^2-x+1)^2 ogf] A313250 4.21655 [-(x^11-x^10+x^9-2*x^8-3*x^7-6*x^6-7*x^5-7*x^4-7*x^3-5*x^2-3*x-1)/(x^2+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A313250 4.42870 [-(x^11-x^10+x^9-2*x^8-3*x^7-6*x^6-7*x^5-7*x^4-7*x^3-5*x^2-3*x-1)/(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313251 4.42870 [(x^10+x^9+x^8+x^7+2*x^5+x^3+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313251 4.69443 [(x^10+x^9+x^8+x^7+2*x^5+x^3+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313255 3.95598 [(x^10+2*x^9+3*x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313258 4.72593 [(x^6+2*x^4-x^3+2*x^2+1)*(x+1)^2/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313258 6.70633 [(x^6+2*x^4-x^3+2*x^2+1)*(x+1)^2/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313259 3.46879 [(x^10+x^9+2*x^8+x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313259 4.82304 [(x^10+x^9+2*x^8+x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313261 5.81954 [(x^5+x^3+1)*(x^5+x^2+1)*(x^2+x+1)^2/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A313262 3.45178 [(x^12+2*x^11+3*x^10+3*x^9+2*x^8+3*x^7+3*x^6+3*x^5+2*x^4+3*x^3+3*x^2+2*x+1)/(x^2+1)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A313265 3.33727 [-(x^14-2*x^12-2*x^11-7*x^10-10*x^9-11*x^8-13*x^7-15*x^6-13*x^5-11*x^4-9*x^3-6*x^2-3*x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A313276 3.60955 [(x^2+x+1)*(x^2+1)*(x^8+2*x^7+x^6+x^4+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313276 4.79625 [(x^2+1)*(x^2+x+1)*(x^8+2*x^7+x^6+x^4+x^2+2*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313280 5.11133 [f(x)*(f(x)*x^4-3*f(x)*x^3-x^4+4*f(x)*x^2-x^3-3*f(x)*x-x^2+f(x)-x-1) ogf] A313280 8.23826 [(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2-x+1) ogf] A313280 9.09418 [(x^4+x^3+x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313281 3.78583 [(x^2+1)*(x^8+x^7+x^6+x^4+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313281 4.82304 [(x^2+1)*(x^8+x^7+x^6+x^4+x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313283 3.45178 [(x^12+2*x^11+3*x^10+3*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+3*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313284 4.00043 [(x^2+1)*(x^8+2*x^7+2*x^6+x^5+x^4+x^3+2*x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313289 5.63331 [(x^2-x+1)*(x+1)^2*(x^2+x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313289 6.46022 [(x^2-x+1)*(x+1)^2*(x^2+x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313290 4.23998 [(x^8+x^6-x^5+2*x^4-x^3+x^2+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313290 4.62795 [(x^8+x^6-x^5+2*x^4-x^3+x^2+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313292 4.72593 [(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313292 5.63331 [(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313293 4.75219 [(x+1)^2*(x^4+1)*(x^2+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313293 7.95591 [(x^2+1)*(x^4+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A313295 5.16844 [(x^6+x^3+1)*(x^2+x+1)^2/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313296 3.37179 [(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313296 4.84984 [(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313297 4.04615 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313297 4.26552 [(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313300 3.33453 [-(2*x^13-x^12-3*x^11-16*x^10-32*x^9-47*x^8-60*x^7-63*x^6-58*x^5-43*x^4-30*x^3-14*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313316 5.23564 [-(2*x^9-3*x^8-2*x^7-13*x^6-16*x^5-15*x^4-16*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313316 5.95162 [-(2*x^9-3*x^8-2*x^7-13*x^6-16*x^5-15*x^4-16*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313321 5.23564 [-(2*x^9-3*x^8-2*x^7-13*x^6-16*x^5-16*x^4-16*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313321 5.95162 [-(2*x^9-3*x^8-2*x^7-13*x^6-16*x^5-16*x^4-16*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313325 4.57681 [-(x^2-x+1)*(2*x^7-2*x^6-x^4-5*x^3-4*x^2-3*x-1)*(x^2+x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313325 4.76362 [-(x^2-x+1)*(2*x^7-2*x^6-x^4-5*x^3-4*x^2-3*x-1)*(x^2+x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313333 4.8563 [(x^2+x+1)*(x^8+3*x^7+5*x^6+8*x^5+7*x^4+8*x^3+5*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313333 5.50128 [(x^2+x+1)*(x^8+3*x^7+5*x^6+8*x^5+7*x^4+8*x^3+5*x^2+3*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313334 4.04692 [-(x^2+1)*(x^12-x^10+x^9-x^8-6*x^7-9*x^6-11*x^5-12*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313334 4.79023 [-(x^2+1)*(x^12-x^10+x^9-x^8-6*x^7-9*x^6-11*x^5-12*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313335 3.57444 [-(2*x^13-3*x^12-2*x^11-13*x^10-12*x^9-24*x^8-26*x^7-26*x^6-26*x^5-20*x^4-16*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313335 4.45673 [-(2*x^13-3*x^12-2*x^11-13*x^10-12*x^9-24*x^8-26*x^7-26*x^6-26*x^5-20*x^4-16*x^3-9*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313337 3.32153 [-(x^2+1)*(2*x^13-3*x^12-4*x^11-8*x^10-12*x^9-12*x^8-18*x^7-18*x^6-16*x^5-12*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313337 3.95598 [-(x^2+1)*(2*x^13-3*x^12-4*x^11-8*x^10-12*x^9-12*x^8-18*x^7-18*x^6-16*x^5-12*x^4-12*x^3-8*x^2-4*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313345 3.59267 [-(x^2+1)*(x^14-x^13+x^11-3*x^9+4*x^8-4*x^7-2*x^6-2*x^5-2*x^4-3*x^3-2*x^2-2*x-1)/(x+1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A313349 4.21655 [-(2*x^13-3*x^12-6*x^11-7*x^10-2*x^9-9*x^8-14*x^7-10*x^6-8*x^5-7*x^4-8*x^3-7*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A313356 3.82698 [-(2*x^12-x^11-5*x^10-15*x^9-26*x^8-41*x^7-42*x^6-42*x^5-37*x^4-26*x^3-13*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313356 4.14214 [-(2*x^12-x^11-5*x^10-15*x^9-26*x^8-41*x^7-42*x^6-42*x^5-37*x^4-26*x^3-13*x^2-5*x-1)/(x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313357 4.39799 [-(2*x^11-3*x^10-2*x^9-11*x^8-20*x^7-22*x^6-22*x^5-22*x^4-18*x^3-9*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313357 5.13099 [-(2*x^11-3*x^10-2*x^9-11*x^8-20*x^7-22*x^6-22*x^5-22*x^4-18*x^3-9*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313382 3.48384 [-(x^16-2*x^12-3*x^11-3*x^10-5*x^9-5*x^8-7*x^7-8*x^6-6*x^5-5*x^4-4*x^3-3*x^2-3*x-1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313395 3.18296 [(x^4+1)*(x^12+4*x^11+5*x^10+5*x^9+11*x^8+12*x^7+9*x^6+12*x^5+11*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A313416 5.98506 [(x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313416 6.66907 [(x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A313425 3.50126 [(x^14+3*x^13+3*x^12+4*x^11+9*x^10+8*x^9+13*x^8+6*x^7+13*x^6+8*x^5+9*x^4+4*x^3+3*x^2+3*x+1)/(x^4+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313431 4.14350 [(x^10+4*x^9+6*x^8+8*x^7+15*x^6+6*x^5+15*x^4+8*x^3+6*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313431 4.4888 [(x^10+4*x^9+6*x^8+8*x^7+15*x^6+6*x^5+15*x^4+8*x^3+6*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313438 3.26302 [-(2*x^17-x^16-x^15+x^14+x^13-2*x^12+x^11-2*x^10-6*x^9-4*x^8-5*x^7-5*x^6-5*x^5-7*x^4-3*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313439 4.07031 [-(x^12-3*x^10-2*x^9-5*x^8-8*x^7-8*x^6-10*x^5-11*x^4-4*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A313439 4.14214 [-(x^12-3*x^10-2*x^9-5*x^8-8*x^7-8*x^6-10*x^5-11*x^4-4*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A313441 3.80629 [(x^12+4*x^11+6*x^10+8*x^9+17*x^8+17*x^7+17*x^6+17*x^5+17*x^4+8*x^3+6*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313442 4.1408 [-(x^13+x^12-x^10-6*x^9-12*x^8-15*x^7-21*x^6-24*x^5-20*x^4-13*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313442 4.78430 [-(x^13+x^12-x^10-6*x^9-12*x^8-15*x^7-21*x^6-24*x^5-20*x^4-13*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313444 3.34267 [-(2*x^16+2*x^15-2*x^13+2*x^12-x^11-x^10-6*x^9-4*x^8-13*x^7-13*x^6-19*x^5-15*x^4-12*x^3-10*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313444 3.93364 [-(2*x^16+2*x^15-2*x^13+2*x^12-x^11-x^10-6*x^9-4*x^8-13*x^7-13*x^6-19*x^5-15*x^4-12*x^3-10*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313446 3.72574 [(x^12+6*x^11+16*x^10+28*x^9+44*x^8+56*x^7+62*x^6+56*x^5+44*x^4+28*x^3+16*x^2+6*x+1)/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313455 4.12036 [-(2*x^16-2*x^15+x^12-7*x^11-2*x^9-2*x^8-8*x^7-2*x^6-6*x^5-2*x^4-2*x^3-2*x^2-3*x-1)/(x^2+1)/(x^4+1)^2/(x-1)^2 ogf] A313467 3.48384 [(x^14+3*x^13+3*x^12+5*x^11+5*x^10+15*x^9+5*x^8+14*x^7+5*x^6+15*x^5+5*x^4+5*x^3+3*x^2+3*x+1)/(x^4+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313474 4.07311 [(x^10+3*x^9+x^8-x^7+x^6+3*x^5+x^4-x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313474 4.14628 [(x^10+3*x^9+x^8-x^7+x^6+3*x^5+x^4-x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313475 4.07216 [(x^10+2*x^9+2*x^7+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313475 4.76945 [(x^10+2*x^9+2*x^7+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313476 3.91202 [(x^10+3*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313477 5.48299 [(x^8+2*x^7+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313477 5.75488 [(x^8+2*x^7+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313480 6.38844 [(x^6+3*x^5+x^4-x^3+x^2+3*x+1)/(x-1)^2/(x^4+1) ogf] A313480 7.82405 [(x^6+3*x^5+x^4-x^3+x^2+3*x+1)/(x^4+1)/(x-1)^2 ogf] A313485 3.97909 [(x^10+2*x^9-x^8+x^7+2*x^6-x^5+2*x^4+x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313485 4.19482 [(x^10+2*x^9-x^8+x^7+2*x^6-x^5+2*x^4+x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313487 5.78721 [(x^6+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313487 6.42433 [(x^6+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313491 3.38286 [-(x^19-x^14-5*x^13-10*x^12-10*x^11-10*x^10-13*x^9-18*x^8-20*x^7-18*x^6-13*x^5-9*x^4-9*x^3-9*x^2-5*x-1)/(x^2+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A313494 3.53663 [(x^10+x^9-x^8+3*x^7-3*x^6+5*x^5-3*x^4+3*x^3-x^2+x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313498 3.35049 [(x^12+4*x^11+5*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313498 4.79625 [(x^12+4*x^11+5*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313506 3.934 [(x^10+3*x^9+2*x^8+2*x^7+2*x^6+3*x^5+2*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313510 5.98506 [(x^6+3*x^5+2*x^4+2*x^3+2*x^2+3*x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A313510 6.19692 [(x^6+3*x^5+2*x^4+2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313512 4.19145 [-(x^16-x^14-6*x^11-8*x^10-5*x^9-x^8-10*x^7-18*x^6-10*x^5-x^4-4*x^3-8*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A313514 3.39928 [(x^2-x+1)*(x^8+3*x^7+2*x^6+x^5-x^4+x^3+2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313514 4.79625 [(x^2-x+1)*(x^8+3*x^7+2*x^6+x^5-x^4+x^3+2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313515 3.45178 [(x^12+3*x^11+2*x^10+2*x^9+2*x^8+3*x^7+3*x^6+3*x^5+2*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313519 3.35049 [(x^12+4*x^11+5*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313519 4.79625 [(x^12+4*x^11+5*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313522 3.53851 [(x^2+x+1)*(x^12+4*x^11+5*x^10+5*x^9+8*x^8+11*x^7+10*x^6+11*x^5+8*x^4+5*x^3+5*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313522 4.14214 [(x^2+x+1)*(x^12+4*x^11+5*x^10+5*x^9+8*x^8+11*x^7+10*x^6+11*x^5+8*x^4+5*x^3+5*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313524 4.79625 [(x^10+3*x^9+3*x^8+5*x^7+5*x^6+9*x^5+5*x^4+5*x^3+3*x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313525 3.89041 [(x^8+2*x^7-x^6+x^5+2*x^4+x^3-x^2+2*x+1)*(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313528 3.40176 [-(x^16+x^14-x^12-6*x^11-11*x^10-16*x^9-19*x^8-25*x^7-28*x^6-24*x^5-18*x^4-14*x^3-10*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313528 4.19145 [-(x^16+x^14-x^12-6*x^11-11*x^10-16*x^9-19*x^8-25*x^7-28*x^6-24*x^5-18*x^4-14*x^3-10*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313533 5.39799 [(x^8+3*x^7+x^6-x^5+x^4-x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313533 5.57072 [(x^8+3*x^7+x^6-x^5+x^4-x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313534 3.35049 [(x^12+4*x^11+5*x^10+4*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313534 4.79625 [(x^12+4*x^11+5*x^10+4*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313535 3.15429 [(x^4+2*x^3+x^2+2*x+1)*(x^10+4*x^9+6*x^8+6*x^7+6*x^6+7*x^5+6*x^4+6*x^3+6*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A313537 3.934 [(x^10+3*x^9+2*x^8+2*x^7+3*x^6+x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313538 5.26505 [(x^4+x^3-2*x^2+x+1)*(x^4+2*x^3+x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313538 5.98506 [(x^4+x^3-2*x^2+x+1)*(x^4+2*x^3+x^2+2*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313540 4.11913 [(x^10+3*x^9+x^8-x^7+2*x^6+2*x^5+2*x^4-x^3+x^2+3*x+1)/(x-1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A313540 4.19313 [(x^10+3*x^9+x^8-x^7+2*x^6+2*x^5+2*x^4-x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313543 3.35049 [(x^12+4*x^11+5*x^10+4*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313543 4.79625 [(x^12+4*x^11+5*x^10+4*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313545 3.97833 [-(x^15-x^13-2*x^12-3*x^11-9*x^10-4*x^9-3*x^8-10*x^7-17*x^6-10*x^5-2*x^4-4*x^3-8*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A313546 3.45178 [(x^12+3*x^11+2*x^10+2*x^9+3*x^8+x^7+5*x^6+x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313548 3.45403 [(x^14+5*x^13+10*x^12+14*x^11+19*x^10+23*x^9+31*x^8+34*x^7+31*x^6+23*x^5+19*x^4+14*x^3+10*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313548 4.16515 [(x^14+5*x^13+10*x^12+14*x^11+19*x^10+23*x^9+31*x^8+34*x^7+31*x^6+23*x^5+19*x^4+14*x^3+10*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313556 4.63743 [(x^8+2*x^7+x^5-x^4+x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313556 4.82932 [(x^8+2*x^7+x^5-x^4+x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313560 3.74466 [(x^10+2*x^9+2*x^7+x^6+x^5+x^4+2*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313560 4.79625 [(x^10+2*x^9+2*x^7+x^6+x^5+x^4+2*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313561 4.72593 [(x^8+3*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313561 5.81954 [(x^8+3*x^7+2*x^6+2*x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313563 4.24395 [-(x^13-2*x^10-5*x^9-10*x^8-9*x^7-9*x^6-10*x^5-9*x^4-9*x^3-9*x^2-5*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A313563 4.93135 [-(x^13-2*x^10-5*x^9-10*x^8-9*x^7-9*x^6-10*x^5-9*x^4-9*x^3-9*x^2-5*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313565 4.69968 [(x^8+4*x^7+6*x^6+7*x^5+7*x^4+7*x^3+6*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313565 5.42831 [(x^8+4*x^7+6*x^6+7*x^5+7*x^4+7*x^3+6*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313568 7.25942 [(x^4+2*x^3+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313568 7.57166 [(x^4+2*x^3+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313569 3.45178 [(x^12+3*x^11+2*x^10+2*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313572 3.36921 [(x^12+4*x^11+5*x^10+4*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313572 4.82304 [(x^12+4*x^11+5*x^10+4*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313575 6.01850 [(x^6+4*x^5+6*x^4+7*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313575 6.46022 [(x^6+4*x^5+6*x^4+7*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313580 5.45864 [(x^8+2*x^7+2*x^5+x^4+2*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313580 5.54460 [(x^8+2*x^7+2*x^5+x^4+2*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313581 3.29049 [(x^12+2*x^11+2*x^9+x^8+2*x^7+2*x^5+x^4+2*x^3+2*x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313581 4.29368 [(x^12+2*x^11+2*x^9+x^8+2*x^7+2*x^5+x^4+2*x^3+2*x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313583 3.47096 [(x^12+3*x^11+2*x^10+2*x^9+3*x^8+3*x^7+2*x^6+3*x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313588 3.40176 [-(x^15+x^13-2*x^12-4*x^11-13*x^10-13*x^9-22*x^8-25*x^7-29*x^6-25*x^5-19*x^4-14*x^3-10*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313588 4.19145 [-(x^15+x^13-2*x^12-4*x^11-13*x^10-13*x^9-22*x^8-25*x^7-29*x^6-25*x^5-19*x^4-14*x^3-10*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313589 3.97796 [(x^10+3*x^9+2*x^8+2*x^7+3*x^6+3*x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313591 3.57614 [(x^2-x+1)*(x^8+3*x^7+2*x^6+x^5+x^3+2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313591 4.84984 [(x^2-x+1)*(x^8+3*x^7+2*x^6+x^5+x^3+2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313592 3.47096 [(x^12+3*x^11+2*x^10+2*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313595 4.21655 [(x^10+4*x^9+7*x^8+11*x^7+13*x^6+16*x^5+13*x^4+11*x^3+7*x^2+4*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313604 4.00093 [(x^14+3*x^13+3*x^12+5*x^11+7*x^10+4*x^9+12*x^8+7*x^7+12*x^6+4*x^5+7*x^4+5*x^3+3*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A313610 4.02379 [(x^10+3*x^9+2*x^8+2*x^7+4*x^6+4*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313610 4.14214 [(x^10+3*x^9+2*x^8+2*x^7+4*x^6+4*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313611 4.24195 [(x^10+4*x^9+5*x^8+3*x^7+2*x^6-x^5+2*x^4+3*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313611 4.42870 [(x^10+4*x^9+5*x^8+3*x^7+2*x^6-x^5+2*x^4+3*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313613 4.99407 [(x^8+4*x^7+5*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313613 6.46022 [(x^8+4*x^7+5*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313614 4.69443 [(x^10+4*x^9+5*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313614 5.54460 [(x^10+4*x^9+5*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313615 3.36921 [(x^12+4*x^11+5*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313615 4.82304 [(x^12+4*x^11+5*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313616 4.29368 [(x^14+4*x^13+5*x^12+4*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+5*x^2+4*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313619 3.45178 [(x^12+3*x^11+2*x^10+2*x^9+4*x^8+x^7+3*x^6+x^5+4*x^4+2*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313620 3.68672 [(x^2+1)*(x^10+4*x^9+4*x^8+2*x^6+5*x^5+2*x^4+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313620 4.82304 [(x^2+1)*(x^10+4*x^9+4*x^8+2*x^6+5*x^5+2*x^4+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313621 3.42066 [-(x^20-x^19+x^18-x^14-4*x^13-3*x^12-6*x^11-7*x^10-7*x^9-10*x^8-9*x^7-10*x^6-6*x^5-7*x^4-5*x^3-3*x^2-3*x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A313622 5.48896 [(x^8+3*x^7+x^6-x^5+2*x^4-x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313622 5.66461 [(x^8+3*x^7+x^6-x^5+2*x^4-x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313623 3.97796 [(x^10+3*x^9+2*x^8+2*x^7+4*x^6+x^5+4*x^4+2*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313635 4.75219 [(x^6+x^5-x^4+3*x^3-x^2+x+1)*(x+1)^2/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313635 6.05193 [(x^6+x^5-x^4+3*x^3-x^2+x+1)*(x+1)^2/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313639 3.80686 [(x^2+1)*(x^8+2*x^7-x^6+3*x^4-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313639 4.84984 [(x^2+1)*(x^8+2*x^7-x^6+3*x^4-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313641 3.67004 [-(x^13-2*x^8-x^7-3*x^6-3*x^5-2*x^4-x^3-3*x^2-3*x-1)*(x^4+2*x^3+2*x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A313645 4.02316 [(x^14+3*x^13+3*x^12+5*x^11+7*x^10+7*x^9+10*x^8+9*x^7+10*x^6+7*x^5+7*x^4+5*x^3+3*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A313646 4.26552 [(x^10+4*x^9+5*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313646 4.45331 [(x^10+4*x^9+5*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313652 3.82789 [-(x^2-x+1)*(x^10-2*x^9+2*x^8-3*x^7-x^6-2*x^4-2*x^3-2*x-1)*(x+1)^3/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313660 4.75219 [(x^10+5*x^9+10*x^8+14*x^7+21*x^6+24*x^5+21*x^4+14*x^3+10*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313660 5.44674 [(x^10+5*x^9+10*x^8+14*x^7+21*x^6+24*x^5+21*x^4+14*x^3+10*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313662 4.04615 [(x^3+x^2+1)*(x^3+x+1)*(x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313662 4.29137 [(x^3+x^2+1)*(x^3+x+1)*(x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313665 3.99993 [(x^14+5*x^13+10*x^12+14*x^11+22*x^10+27*x^9+29*x^8+24*x^7+29*x^6+27*x^5+22*x^4+14*x^3+10*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313680 6.1623 [(x^8+3*x^7+x^6-x^4+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313680 6.38844 [(x^8+3*x^7+x^6-x^4+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313681 3.35049 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313681 4.79625 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313682 3.934 [(x^10+3*x^9+2*x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313683 4.69968 [(x^8+3*x^7+x^6+x^5+2*x^4+x^3+x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313683 6.19692 [(x^8+3*x^7+x^6+x^5+2*x^4+x^3+x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313684 3.43261 [(x^12+3*x^11+2*x^10+3*x^9+x^8+3*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313685 4.69968 [(x^8+3*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313685 5.78721 [(x^8+3*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313687 4.72593 [(x^8+3*x^7+3*x^6+6*x^5+3*x^4+6*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313687 4.8563 [(x^8+3*x^7+3*x^6+6*x^5+3*x^4+6*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313688 5.98506 [(x^8+4*x^7+4*x^6-4*x^4+4*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313689 3.35049 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313689 4.79625 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313692 4.07031 [(x^2+x+1)*(x^8+2*x^7-x^6+2*x^5+2*x^3-x^2+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313693 3.45178 [(x^12+3*x^11+2*x^10+3*x^9+x^8+4*x^7+x^6+4*x^5+x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313694 4.99407 [(x^8+4*x^7+5*x^6+5*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313694 6.46022 [(x^8+4*x^7+5*x^6+5*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313696 3.33727 [(x^2+x+1)*(x^10+3*x^9+x^8+x^7+2*x^6+2*x^5+2*x^4+x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313696 4.82304 [(x^2+x+1)*(x^10+3*x^9+x^8+x^7+2*x^6+2*x^5+2*x^4+x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313697 3.57614 [-(x^17+2*x^14-x^13-x^12+x^11-3*x^10-7*x^9-10*x^8-16*x^7-20*x^6-22*x^5-19*x^4-15*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313697 4.04615 [-(x^17+2*x^14-x^13-x^12+x^11-3*x^10-7*x^9-10*x^8-16*x^7-20*x^6-22*x^5-19*x^4-15*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313698 4.45331 [(x^10+2*x^9-x^8+2*x^7+2*x^5+2*x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313698 4.72051 [(x^10+2*x^9-x^8+2*x^7+2*x^5+2*x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313702 4.69443 [(x^10+4*x^9+5*x^8+4*x^7+x^5+4*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313702 4.92422 [(x^10+4*x^9+5*x^8+4*x^7+x^5+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313703 4.69443 [(x^10+4*x^9+5*x^8+5*x^7+4*x^6+6*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313703 5.54460 [(x^10+4*x^9+5*x^8+5*x^7+4*x^6+6*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313704 3.36921 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313704 4.82304 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313705 4.75219 [(x^10+5*x^9+10*x^8+15*x^7+19*x^6+23*x^5+19*x^4+15*x^3+10*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313705 5.44674 [(x^10+5*x^9+10*x^8+15*x^7+19*x^6+23*x^5+19*x^4+15*x^3+10*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313707 5.13099 [(x^10+3*x^9+x^8+5*x^5+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313707 5.24501 [(x^10+3*x^9+x^8+5*x^5+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313709 4.04615 [-(x^2+x+1)*(x^12-x^11+2*x^9-4*x^8-4*x^7-3*x^6-9*x^5-8*x^4-6*x^3-5*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313709 4.78430 [-(x^2+x+1)*(x^12-x^11+2*x^9-4*x^8-4*x^7-3*x^6-9*x^5-8*x^4-6*x^3-5*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313711 3.38792 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313711 4.84984 [(x^12+4*x^11+5*x^10+5*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313712 4.79023 [(x^10+3*x^9+3*x^8+6*x^7+4*x^6+11*x^5+4*x^4+6*x^3+3*x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313717 4.54709 [(x^10+3*x^9+x^8+x^6+2*x^5+x^4+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313717 4.63743 [(x^10+3*x^9+x^8+x^6+2*x^5+x^4+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313718 3.74466 [(x^10+2*x^9+3*x^7-x^6+3*x^5-x^4+3*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313718 4.79625 [(x^10+2*x^9+3*x^7-x^6+3*x^5-x^4+3*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313719 3.95598 [(x^10+3*x^9+2*x^8+3*x^7+2*x^6+2*x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313720 4.24195 [(x^10+4*x^9+5*x^8+4*x^7+x^6-x^5+x^4+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313720 4.42870 [(x^10+4*x^9+5*x^8+4*x^7+x^6-x^5+x^4+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313721 5.45864 [(x^8+2*x^7+3*x^5-x^4+3*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313721 5.54460 [(x^8+2*x^7+3*x^5-x^4+3*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313722 3.46879 [(x^2+x+1)*(x^10+3*x^9+x^8+x^7+3*x^6+3*x^4+x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313722 4.82304 [(x^2+x+1)*(x^10+3*x^9+x^8+x^7+3*x^6+3*x^4+x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313724 3.35581 [-(x^15-x^14+x^13-2*x^12+2*x^11-3*x^10-x^9-5*x^8-4*x^7-3*x^6-5*x^5-2*x^4-5*x^3-3*x^2-3*x-1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313726 3.47096 [(x^12+3*x^11+2*x^10+3*x^9+2*x^8+2*x^7+4*x^6+2*x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313729 3.45178 [(x^12+3*x^11+2*x^10+3*x^9+2*x^8+3*x^7+x^6+3*x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313730 3.36921 [(x^12+4*x^11+5*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313730 4.82304 [(x^12+4*x^11+5*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313732 3.86927 [-(x^2+1)*(x^14-x^12+x^10-x^9-3*x^8-3*x^7-8*x^6-13*x^5-11*x^4-10*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313732 4.78430 [-(x^2+1)*(x^14-x^12+x^10-x^9-3*x^8-3*x^7-8*x^6-13*x^5-11*x^4-10*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313735 4.59347 [(x^14+3*x^13+x^12+x^8+4*x^7+x^6+x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313735 5.08563 [(x^14+3*x^13+x^12+x^8+4*x^7+x^6+x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313737 3.97796 [(x^14+5*x^13+10*x^12+15*x^11+20*x^10+24*x^9+26*x^8+25*x^7+26*x^6+24*x^5+20*x^4+15*x^3+10*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313738 3.7865 [(x^10+2*x^9+3*x^7-x^6+4*x^5-x^4+3*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313738 4.84984 [(x^10+2*x^9+3*x^7-x^6+4*x^5-x^4+3*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313739 3.47096 [(x^12+3*x^11+2*x^10+3*x^9+2*x^8+3*x^7+3*x^6+3*x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313740 3.74731 [(x^10+x^9-2*x^8+3*x^7-4*x^6+6*x^5-4*x^4+3*x^3-2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313740 4.59347 [(x^10+x^9-2*x^8+3*x^7-4*x^6+6*x^5-4*x^4+3*x^3-2*x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313744 3.61263 [(x^12+3*x^11+2*x^10+3*x^9+2*x^8+4*x^7+4*x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313745 3.38792 [(x^12+4*x^11+5*x^10+5*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313745 4.84984 [(x^12+4*x^11+5*x^10+5*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313746 4.72051 [(x^10+4*x^9+5*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313746 5.57540 [(x^10+4*x^9+5*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313747 4.26552 [(x^10+4*x^9+5*x^8+4*x^7+x^6+x^5+x^4+4*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313747 4.45331 [(x^10+4*x^9+5*x^8+4*x^7+x^6+x^5+x^4+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313748 5.08563 [-(x^14-x^13+x^10-x^9+x^8-x^7-x^5-x^4-4*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A313748 5.23521 [-(x^14-x^13+x^10-x^9+x^8-x^7-x^5-x^4-4*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A313750 5.36421 [-(x^12-x^10+x^9-3*x^6-6*x^5-9*x^4-10*x^3-9*x^2-5*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313750 5.71029 [-(x^12-x^10+x^9-3*x^6-6*x^5-9*x^4-10*x^3-9*x^2-5*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313752 3.97796 [(x^10+3*x^9+2*x^8+3*x^7+2*x^6+4*x^5+2*x^4+3*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313753 3.40664 [(x^12+4*x^11+5*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313753 4.87663 [(x^12+4*x^11+5*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313754 4.6233 [(x^10+3*x^9+x^8+x^6+4*x^5+x^4+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313754 4.71515 [(x^10+3*x^9+x^8+x^6+4*x^5+x^4+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313755 3.52469 [-(x^11-x^9-2*x^8-3*x^7-x^6-3*x^5-2*x^4-3*x^3-2*x^2-3*x-1)*(x^2-x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313762 3.33998 [-(x^2+x+1)*(x^14-3*x^12-2*x^11-6*x^10-7*x^9-8*x^8-10*x^7-16*x^6-7*x^5-10*x^4-6*x^3-5*x^2-4*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A313764 4.26552 [(x^10+6*x^9+15*x^8+24*x^7+30*x^6+30*x^5+30*x^4+24*x^3+15*x^2+6*x+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^2 ogf] A313764 4.29137 [(x^10+6*x^9+15*x^8+24*x^7+30*x^6+30*x^5+30*x^4+24*x^3+15*x^2+6*x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2 ogf] A313768 3.40176 [(x^2+1)*(x^10+4*x^9+4*x^8+x^7+2*x^6+3*x^5+2*x^4+x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313768 4.82304 [(x^2+1)*(x^10+4*x^9+4*x^8+x^7+2*x^6+3*x^5+2*x^4+x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313769 4.57249 [(x^10+3*x^9+x^8+2*x^6+x^5+2*x^4+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313769 4.66334 [(x^10+3*x^9+x^8+2*x^6+x^5+2*x^4+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313770 4.09293 [(x^4+2*x^3+x^2+2*x+1)*(x^6+4*x^5+6*x^4+7*x^3+6*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A313770 4.48149 [(x^4+2*x^3+x^2+2*x+1)*(x^6+4*x^5+6*x^4+7*x^3+6*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A313772 3.38792 [(x^12+4*x^11+5*x^10+5*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313772 4.84984 [(x^12+4*x^11+5*x^10+5*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313773 4.72051 [(x^10+4*x^9+5*x^8+5*x^7+6*x^6+4*x^5+6*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313773 5.57540 [(x^10+4*x^9+5*x^8+5*x^7+6*x^6+4*x^5+6*x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313774 4.26552 [(x^10+4*x^9+5*x^8+4*x^7+2*x^6-x^5+2*x^4+4*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313774 4.45331 [(x^10+4*x^9+5*x^8+4*x^7+2*x^6-x^5+2*x^4+4*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313775 4.77844 [-(x^13-x^12+x^11-x^10+x^9-x^8-x^6+x^5-2*x^4-4*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A313775 4.91026 [-(x^13-x^12+x^11-x^10+x^9-x^8-x^6+x^5-2*x^4-4*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A313777 3.72672 [-(x^18-x^12-6*x^11-11*x^10-16*x^9-20*x^8-21*x^7-19*x^6-21*x^5-20*x^4-15*x^3-10*x^2-5*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313777 4.23998 [-(x^18-x^12-6*x^11-11*x^10-16*x^9-20*x^8-21*x^7-19*x^6-21*x^5-20*x^4-15*x^3-10*x^2-5*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A313778 4.02379 [(x^10+2*x^9-x^8+2*x^7+2*x^6-2*x^5+2*x^4+2*x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313778 4.24195 [(x^10+2*x^9-x^8+2*x^7+2*x^6-2*x^5+2*x^4+2*x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313779 3.50533 [(x^2+1)*(x^8+2*x^7-x^6+x^5+x^4+x^3-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313779 4.84984 [(x^2+1)*(x^8+2*x^7-x^6+x^5+x^4+x^3-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313780 5.85187 [(x^6+2*x^5+3*x^3+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313780 6.49611 [(x^6+2*x^5+3*x^3+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313781 3.47096 [(x^12+3*x^11+2*x^10+3*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313782 3.97796 [(x^10+3*x^9+2*x^8+3*x^7+3*x^6+2*x^5+3*x^4+3*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313786 7.95591 [-(x^7-x^5-2*x^4-5*x^3-8*x^2-5*x-1)/(x+1)^2/(x-1)^2 ogf] A313788 3.40664 [(x^12+4*x^11+5*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313788 4.87663 [(x^12+4*x^11+5*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313789 5.8842 [(x^6+2*x^5-x^4-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313789 6.08537 [(x^6+2*x^5-x^4-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313791 4.75219 [(x^8+3*x^7+3*x^6+6*x^5+5*x^4+6*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313791 4.88328 [(x^8+3*x^7+3*x^6+6*x^5+5*x^4+6*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313793 4.75219 [(x^8+3*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313793 5.85187 [(x^8+3*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313794 3.49014 [(x^12+3*x^11+2*x^10+3*x^9+3*x^8+3*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313796 4.56403 [(x^14+3*x^13+x^12+x^10+4*x^7+x^4+x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313796 5.04956 [(x^14+3*x^13+x^12+x^10+4*x^7+x^4+x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313799 4.77844 [(x^6+x^5-2*x^4+4*x^3-2*x^2+x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A313799 6.532 [(x^6+x^5-2*x^4+4*x^3-2*x^2+x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A313800 3.93352 [-(x+1)*(x^19-x^18+x^17-x^16-x^13-3*x^12-2*x^11-4*x^10-2*x^9-4*x^8-2*x^7-3*x^6-3*x^5-3*x^4-3*x^3-2*x^2-3*x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313801 3.99993 [(x^10+3*x^9+2*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313802 4.16367 [(x^10+2*x^9+3*x^7+3*x^5+3*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313802 4.87663 [(x^10+2*x^9+3*x^7+3*x^5+3*x^3+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313803 6.30078 [(x^8+3*x^7+x^6+x^4+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313803 6.53200 [(x^8+3*x^7+x^6+x^4+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313808 4.16367 [-(x^12+x^11-2*x^10-5*x^9-11*x^8-17*x^7-23*x^6-23*x^5-22*x^4-15*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313808 4.81073 [-(x^12+x^11-2*x^10-5*x^9-11*x^8-17*x^7-23*x^6-23*x^5-22*x^4-15*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313813 3.99993 [(x^2+1)*(x^10+3*x^9-3*x^7+2*x^6+2*x^5+2*x^4-3*x^3+3*x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313813 4.16367 [(x^2+1)*(x^10+3*x^9-3*x^7+2*x^6+2*x^5+2*x^4-3*x^3+3*x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313814 3.82789 [(x^4+2*x^3+2*x+1)*(x^6+2*x^5-x^3+2*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313814 4.87663 [(x^4+2*x^3+2*x+1)*(x^6+2*x^5-x^3+2*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313815 3.19277 [(x^18+2*x^17+2*x^15+2*x^13+3*x^12+3*x^10-x^9+3*x^8+3*x^6+2*x^5+2*x^3+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x^4+1)/(x-1)^2 ogf] A313824 4.69443 [(x^10+4*x^9+5*x^8+5*x^7-x^5+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313824 4.92422 [(x^10+4*x^9+5*x^8+5*x^7-x^5+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313825 3.36921 [(x^12+4*x^11+5*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313825 4.82304 [(x^12+4*x^11+5*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313826 5.02182 [(x^8+3*x^7+2*x^6+4*x^5+4*x^3+2*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313826 6.26616 [(x^8+3*x^7+2*x^6+4*x^5+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313827 4.23998 [(x^10+3*x^9+2*x^8+4*x^7+5*x^5+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313827 4.37084 [(x^10+3*x^9+2*x^8+4*x^7+5*x^5+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313829 5.48896 [(x^8+3*x^7+x^6+x^5-2*x^4+x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313829 5.66461 [(x^8+3*x^7+x^6+x^5-2*x^4+x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313831 3.38792 [(x^12+4*x^11+5*x^10+6*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313831 4.84984 [(x^12+4*x^11+5*x^10+6*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313833 3.76636 [(x^12+3*x^11+2*x^10+4*x^9+5*x^7+x^6+5*x^5+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313834 3.38792 [(x^12+4*x^11+5*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313834 4.84984 [(x^12+4*x^11+5*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313835 4.72051 [(x^10+4*x^9+5*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313835 5.57540 [(x^10+4*x^9+5*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313836 5.48896 [(x^4+2*x^3-2*x^2+2*x+1)*(x^2+x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313836 6.49611 [(x^4+2*x^3-2*x^2+2*x+1)*(x^2+x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313837 4.72051 [(x^10+4*x^9+5*x^8+5*x^7+x^5+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313837 4.95158 [(x^10+4*x^9+5*x^8+5*x^7+x^5+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313839 3.57614 [-(x^17+2*x^14-x^13-x^12+x^11-3*x^10-7*x^9-10*x^8-17*x^7-21*x^6-24*x^5-20*x^4-16*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313839 4.04615 [-(x^17+2*x^14-x^13-x^12+x^11-3*x^10-7*x^9-10*x^8-17*x^7-21*x^6-24*x^5-20*x^4-16*x^3-10*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313840 4.09189 [(x^14+3*x^13+x^12+x^11-2*x^10+2*x^9+4*x^7+2*x^5-2*x^4+x^3+x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313842 4.23998 [(x^10+3*x^9+2*x^8+4*x^7+6*x^5+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313842 4.37084 [(x^10+3*x^9+2*x^8+4*x^7+6*x^5+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313846 4.72051 [(x^10+4*x^9+5*x^8+6*x^7+4*x^6+7*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313846 5.57540 [(x^10+4*x^9+5*x^8+6*x^7+4*x^6+7*x^5+4*x^4+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313848 4.02316 [-(x^2+x+1)*(x^12-x^11+2*x^9-4*x^8-4*x^7-3*x^6-10*x^5-8*x^4-7*x^3-5*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313848 4.78430 [-(x^2+x+1)*(x^12-x^11+2*x^9-4*x^8-4*x^7-3*x^6-10*x^5-8*x^4-7*x^3-5*x^2-4*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A313849 3.78717 [(x^12+3*x^11+x^10+x^9-2*x^8+4*x^7+4*x^5-2*x^4+x^3+x^2+3*x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313849 3.97759 [(x^12+3*x^11+x^10+x^9-2*x^8+4*x^7+4*x^5-2*x^4+x^3+x^2+3*x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313853 3.45178 [(x^12+3*x^11+2*x^10+4*x^9+x^8+3*x^7+x^6+3*x^5+x^4+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313854 3.46879 [(x^2+x+1)*(x^10+3*x^9+x^8+2*x^7+2*x^6+2*x^4+2*x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313854 4.82304 [(x^2+x+1)*(x^10+3*x^9+x^8+2*x^7+2*x^6+2*x^4+2*x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313855 3.97796 [(x^10+3*x^9+2*x^8+4*x^7+x^6+3*x^5+x^4+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313856 4.00043 [(x^14+3*x^13+3*x^12+7*x^11+4*x^10+10*x^9+5*x^8+15*x^7+5*x^6+10*x^5+4*x^4+7*x^3+3*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A313859 3.45178 [(x^12+3*x^11+2*x^10+4*x^9+x^8+3*x^7+2*x^6+3*x^5+x^4+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313860 4.75219 [(x^2+1)*(x^8+4*x^7+4*x^6+2*x^5+x^4+2*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313860 5.57540 [(x^2+1)*(x^8+4*x^7+4*x^6+2*x^5+x^4+2*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313862 6.05193 [(x^6+4*x^5+6*x^4+9*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313862 6.49611 [(x^6+4*x^5+6*x^4+9*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A313867 7.29975 [-(x^9-2*x^7+2*x^5-2*x^4-6*x^3-8*x^2-5*x-1)/(x+1)^2/(x-1)^2 ogf] A313867 7.29975 [-(x^9-2*x^7+2*x^5-2*x^4-6*x^3-8*x^2-5*x-1)/(x-1)^2/(x+1)^2 ogf] A313869 3.38792 [(x^12+4*x^11+5*x^10+6*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313869 4.84984 [(x^12+4*x^11+5*x^10+6*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313872 3.47096 [(x^12+3*x^11+2*x^10+4*x^9+x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313873 6.49611 [(x^6+4*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313873 7.61372 [(x^6+4*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313875 4.77844 [(x^2+x+1)*(x^6+2*x^5-x^4+3*x^3-x^2+2*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A313875 5.69591 [(x^2+x+1)*(x^6+2*x^5-x^4+3*x^3-x^2+2*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A313876 3.40664 [(x^12+4*x^11+5*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313876 4.87663 [(x^12+4*x^11+5*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313877 4.09189 [(x^14+3*x^13+x^12+x^11-x^10+2*x^8+2*x^7+2*x^6-x^4+x^3+x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313879 4.50625 [(x^10+4*x^9+5*x^8+5*x^7+x^6+x^4+5*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313879 4.71515 [(x^10+4*x^9+5*x^8+5*x^7+x^6+x^4+5*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313881 3.61566 [-(2*x^15-x^11-9*x^10-9*x^9-11*x^8-12*x^7-16*x^6-14*x^5-12*x^4-11*x^3-9*x^2-5*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A313884 3.47096 [(x^12+3*x^11+2*x^10+4*x^9+x^8+5*x^7-x^6+5*x^5+x^4+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313885 3.76636 [(x^12+3*x^11+2*x^10+5*x^9+4*x^8+7*x^7+3*x^6+7*x^5+4*x^4+5*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313885 3.95573 [(x^12+3*x^11+2*x^10+5*x^9+4*x^8+7*x^7+3*x^6+7*x^5+4*x^4+5*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313886 3.22167 [(x^12+5*x^11+10*x^10+16*x^9+21*x^8+26*x^7+26*x^6+26*x^5+21*x^4+16*x^3+10*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313886 4.50625 [(x^12+5*x^11+10*x^10+16*x^9+21*x^8+26*x^7+26*x^6+26*x^5+21*x^4+16*x^3+10*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313887 3.40664 [(x^12+4*x^11+5*x^10+6*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313887 4.87663 [(x^12+4*x^11+5*x^10+6*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313889 4.50625 [(x^10+4*x^9+5*x^8+6*x^7+6*x^6+9*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A313889 4.71515 [(x^10+4*x^9+5*x^8+6*x^7+6*x^6+9*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A313891 4.6233 [(x^10+3*x^9+x^8+x^7+4*x^5+x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313891 4.71515 [(x^10+3*x^9+x^8+x^7+4*x^5+x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313892 3.63259 [(x^12+3*x^11+x^10+x^9-x^8+2*x^7+2*x^6+2*x^5-x^4+x^3+x^2+3*x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A313894 4.77844 [(x^8+3*x^7+x^6+2*x^5+2*x^4+2*x^3+x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313894 6.30078 [(x^8+3*x^7+x^6+2*x^5+2*x^4+2*x^3+x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313896 3.12276 [(x^16+2*x^15-x^14+3*x^13-x^12+3*x^11-x^10+x^9+2*x^8+x^7-x^6+3*x^5-x^4+3*x^3-x^2+2*x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313898 4.31508 [(x^6+x^5-3*x^4+5*x^3-3*x^2+x+1)*(x^2+x+1)^2/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313899 3.37435 [(x^2+x+1)*(x^10+3*x^9+x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313899 4.87663 [(x^2+x+1)*(x^10+3*x^9+x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313900 5.51929 [(x^8+3*x^7+x^6+x^5-x^4+x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313900 5.69590 [(x^8+3*x^7+x^6+x^5-x^4+x^3+x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313905 4.00043 [(x^2+1)*(x^8+3*x^7+x^6+x^5+x^4+x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313906 3.76636 [(x^12+3*x^11+2*x^10+5*x^9+5*x^8+4*x^7+7*x^6+4*x^5+5*x^4+5*x^3+2*x^2+3*x+1)/(x^6+x^3+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A313906 3.95573 [(x^12+3*x^11+2*x^10+5*x^9+5*x^8+4*x^7+7*x^6+4*x^5+5*x^4+5*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313908 3.40664 [(x^12+4*x^11+5*x^10+6*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313908 4.87663 [(x^12+4*x^11+5*x^10+6*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313909 4.91026 [(x^2+1)*(x^6+2*x^5-x^4+2*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313909 5.60620 [(x^2+1)*(x^6+2*x^5-x^4+2*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313912 3.47096 [(x^12+3*x^11+2*x^10+4*x^9+2*x^8+3*x^7+x^6+3*x^5+2*x^4+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313913 3.43956 [(x^2+1)*(x^10+4*x^9+4*x^8+2*x^7+2*x^6+3*x^5+2*x^4+2*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313913 4.87663 [(x^2+1)*(x^10+4*x^9+4*x^8+2*x^7+2*x^6+3*x^5+2*x^4+2*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313914 3.67004 [(x^16+2*x^15-x^14+3*x^13+x^10+4*x^9-4*x^8+4*x^7+x^6+3*x^3-x^2+2*x+1)/(x^2-x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313916 3.99993 [(x^10+3*x^9+2*x^8+4*x^7+2*x^6+3*x^5+2*x^4+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313918 3.45625 [(x^2+x+1)*(x^8+x^7-2*x^6+5*x^5-5*x^4+5*x^3-2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313918 4.87663 [(x^2+x+1)*(x^8+x^7-2*x^6+5*x^5-5*x^4+5*x^3-2*x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313922 3.63259 [(x^12+3*x^11+2*x^10+4*x^9+2*x^8+4*x^7+4*x^5+2*x^4+4*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313923 5.04956 [(x^8+4*x^7+5*x^6+6*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313923 6.53200 [(x^8+4*x^7+5*x^6+6*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313924 4.47791 [(x^10+2*x^9-x^8+3*x^7+x^5+3*x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313924 4.74659 [(x^10+2*x^9-x^8+3*x^7+x^5+3*x^3-x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313926 6.53200 [(x^6+3*x^5+x^4+x^3+x^2+3*x+1)/(x-1)^2/(x^4+1) ogf] A313926 7.99987 [(x^6+3*x^5+x^4+x^3+x^2+3*x+1)/(x^4+1)/(x-1)^2 ogf] A313927 4.77267 [(x^10+4*x^9+5*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313927 5.63701 [(x^10+4*x^9+5*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313928 4.02191 [(x^10+3*x^9+2*x^8+4*x^7+2*x^6+4*x^5+2*x^4+4*x^3+2*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313929 3.42536 [(x^12+4*x^11+5*x^10+6*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313929 4.90342 [(x^12+4*x^11+5*x^10+6*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313930 4.21118 [(x^10+3*x^9+x^8+x^7+x^6+3*x^5+x^4+x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313930 4.28683 [(x^10+3*x^9+x^8+x^7+x^6+3*x^5+x^4+x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313936 4.09189 [-(x^12-3*x^10-2*x^9-5*x^8-11*x^7-8*x^6-10*x^5-11*x^4-7*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A313936 4.16367 [-(x^12-3*x^10-2*x^9-5*x^8-11*x^7-8*x^6-10*x^5-11*x^4-7*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A313937 3.4922 [(x^2+1)*(x^8+3*x^7+2*x^6+4*x^5+4*x^4+4*x^3+2*x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313937 4.53101 [(x^2+1)*(x^8+3*x^7+2*x^6+4*x^5+4*x^4+4*x^3+2*x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313938 4.04463 [(x^2+1)*(x^8+3*x^7+x^6+x^5+2*x^4+x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A313939 3.31435 [(x^12+3*x^11+3*x^10+7*x^9+6*x^8+8*x^7+7*x^6+8*x^5+6*x^4+7*x^3+3*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313939 4.02191 [(x^12+3*x^11+3*x^10+7*x^9+6*x^8+8*x^7+7*x^6+8*x^5+6*x^4+7*x^3+3*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313940 4.41914 [(x^10+2*x^9+5*x^7+x^6+3*x^5+x^4+5*x^3+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313945 3.49014 [-(x^17+x^14-x^12-2*x^11+x^10-2*x^9-5*x^8-12*x^7-14*x^6-16*x^5-15*x^4-16*x^3-10*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313945 4.13947 [-(x^17+x^14-x^12-2*x^11+x^10-2*x^9-5*x^8-12*x^7-14*x^6-16*x^5-15*x^4-16*x^3-10*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A313951 3.80798 [(x^12+4*x^11+6*x^10+11*x^9+8*x^8+16*x^7+8*x^6+16*x^5+8*x^4+11*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313952 3.22167 [(x^12+5*x^11+10*x^10+17*x^9+21*x^8+25*x^7+26*x^6+25*x^5+21*x^4+17*x^3+10*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313952 4.50625 [(x^12+5*x^11+10*x^10+17*x^9+21*x^8+25*x^7+26*x^6+25*x^5+21*x^4+17*x^3+10*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313954 4.97894 [(x^8+4*x^7+6*x^6+11*x^5+9*x^4+11*x^3+6*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313955 5.014 [(x^10+4*x^9+5*x^8+6*x^7+6*x^3+5*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313955 5.27399 [(x^10+4*x^9+5*x^8+6*x^7+6*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313958 3.78717 [(x^12+3*x^11+2*x^10+4*x^9-4*x^8+4*x^7-4*x^6+4*x^5-4*x^4+4*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x^3+1)/(x-1)^2 ogf] A313962 5.04956 [(x^2+1)*(x^6+3*x^5+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313962 7.99987 [(x^2+1)*(x^6+3*x^5+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313963 3.28105 [-(x^18-2*x^13+x^12-x^11-5*x^10-10*x^9-11*x^8-14*x^7-14*x^6-14*x^5-12*x^4-12*x^3-9*x^2-5*x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A313969 3.0956 [(x^14+3*x^13+x^12+3*x^11+x^10+7*x^9+3*x^8+3*x^6+7*x^5+x^4+3*x^3+x^2+3*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A313975 6.30078 [(x^2+x+1)*(x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313975 7.65578 [(x^2+x+1)*(x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313977 4.36803 [-(x^12-3*x^10-3*x^9-5*x^8-8*x^7-4*x^6-6*x^5-5*x^4-7*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313977 5.23521 [-(x^12-3*x^10-3*x^9-5*x^8-8*x^7-4*x^6-6*x^5-5*x^4-7*x^3-5*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313979 4.8047 [(x^8+4*x^7+4*x^6+3*x^5+x^4+3*x^3+4*x^2+4*x+1)*(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313979 5.63701 [(x^8+4*x^7+4*x^6+3*x^5+x^4+3*x^3+4*x^2+4*x+1)*(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A313982 4.93724 [(x^2+x+1)*(x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313982 6.56789 [(x^2+x+1)*(x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313984 3.43956 [-(x^17+x^13-2*x^12-6*x^11-11*x^10-17*x^9-24*x^8-27*x^7-31*x^6-26*x^5-23*x^4-17*x^3-10*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313984 4.23802 [-(x^17+x^13-2*x^12-6*x^11-11*x^10-17*x^9-24*x^8-27*x^7-31*x^6-26*x^5-23*x^4-17*x^3-10*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313986 3.99944 [(x^10+4*x^9+6*x^8+11*x^7+11*x^6+12*x^5+11*x^4+11*x^3+6*x^2+4*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313986 4.36524 [(x^10+4*x^9+6*x^8+11*x^7+11*x^6+12*x^5+11*x^4+11*x^3+6*x^2+4*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A313992 4.21474 [-(x^13-2*x^10-5*x^9-11*x^8-8*x^7-10*x^6-15*x^5-10*x^4-8*x^3-10*x^2-5*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A313992 4.88328 [-(x^13-2*x^10-5*x^9-11*x^8-8*x^7-10*x^6-15*x^5-10*x^4-8*x^3-10*x^2-5*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A313993 4.79625 [(x^10+3*x^9+4*x^8+3*x^7+7*x^6+7*x^5+7*x^4+3*x^3+4*x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A313997 3.72672 [(x^12+3*x^11+4*x^10+3*x^9+10*x^8+6*x^7+7*x^6+6*x^5+10*x^4+3*x^3+4*x^2+3*x+1)*(x+1)^2/(x^4+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314000 4.16367 [-(x^14+x^11-2*x^10-6*x^9-12*x^8-15*x^7-22*x^6-25*x^5-21*x^4-14*x^3-11*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314000 4.81073 [-(x^14+x^11-2*x^10-6*x^9-12*x^8-15*x^7-22*x^6-25*x^5-21*x^4-14*x^3-11*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314015 6.05193 [(x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A314015 6.26616 [(x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314018 3.23631 [-(x^16-x^15+x^14-x^13-4*x^11-4*x^10-5*x^9-7*x^8-8*x^7-10*x^6-8*x^5-7*x^4-4*x^3-4*x^2-3*x-1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314019 3.35049 [(x^12+4*x^11+6*x^10+4*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314019 4.79625 [(x^12+4*x^11+6*x^10+4*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314020 4.02379 [(x^10+3*x^9+3*x^8+x^7+4*x^6+4*x^4+x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314020 4.14214 [(x^10+3*x^9+3*x^8+x^7+4*x^6+4*x^4+x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314021 4.69443 [(x^10+4*x^9+6*x^8+4*x^7+5*x^6+4*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314021 5.54460 [(x^10+4*x^9+6*x^8+4*x^7+5*x^6+4*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314022 4.45331 [(x^10+2*x^9-x^7+5*x^6-4*x^5+5*x^4-x^3+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314022 4.72051 [(x^10+2*x^9-x^7+5*x^6-4*x^5+5*x^4-x^3+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314024 4.24195 [(x^10+4*x^9+6*x^8+3*x^7+x^6-x^5+x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314024 4.42870 [(x^10+4*x^9+6*x^8+3*x^7+x^6-x^5+x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314025 3.36921 [(x^12+4*x^11+6*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314025 4.82304 [(x^12+4*x^11+6*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314026 6.49611 [(x^6+3*x^5+2*x^4-2*x^3+2*x^2+3*x+1)/(x-1)^2/(x^4+1) ogf] A314026 7.95591 [(x^6+3*x^5+2*x^4-2*x^3+2*x^2+3*x+1)/(x^4+1)/(x-1)^2 ogf] A314027 3.97796 [(x^10+3*x^9+3*x^8+x^7+4*x^6+x^5+4*x^4+x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314028 4.16515 [(x^10+3*x^9+2*x^8-2*x^7+2*x^6+3*x^5+2*x^4-2*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A314028 4.23998 [(x^10+3*x^9+2*x^8-2*x^7+2*x^6+3*x^5+2*x^4-2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314029 3.38792 [(x^12+4*x^11+6*x^10+4*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314029 4.84984 [(x^12+4*x^11+6*x^10+4*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314031 4.48149 [(x^10+4*x^9+6*x^8+3*x^7+x^6+x^4+3*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314031 4.68925 [(x^10+4*x^9+6*x^8+3*x^7+x^6+x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314032 3.7865 [(x^10+2*x^9+x^8+4*x^6-2*x^5+4*x^4+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314032 4.84984 [(x^10+2*x^9+x^8+4*x^6-2*x^5+4*x^4+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314033 4.54299 [(x^12+2*x^11-x^9+6*x^8-x^6+6*x^4-x^3+2*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2/(x^2-x+1)^2 ogf] A314034 4.72051 [(x^10+4*x^9+6*x^8+4*x^7+5*x^6+6*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314034 5.57540 [(x^10+4*x^9+6*x^8+4*x^7+5*x^6+6*x^5+5*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314038 3.38792 [(x^12+4*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314038 4.84984 [(x^12+4*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314039 4.72051 [(x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314039 5.57540 [(x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314040 5.02182 [(x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314040 6.49611 [(x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314041 3.74731 [(x^14+3*x^13+2*x^12-2*x^11+2*x^10-2*x^9+3*x^8+2*x^7+3*x^6-2*x^5+2*x^4-2*x^3+2*x^2+3*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A314043 3.47096 [(x^12+3*x^11+3*x^10+x^9+5*x^8-x^7+7*x^6-x^5+5*x^4+x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314046 3.63259 [(x^12+3*x^11+2*x^10-2*x^9+2*x^8-x^7+6*x^6-x^5+2*x^4-2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A314047 3.76636 [(x^12+3*x^11+3*x^10+2*x^9+8*x^8+2*x^7+9*x^6+2*x^5+8*x^4+2*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314047 3.95573 [(x^12+3*x^11+3*x^10+2*x^9+8*x^8+2*x^7+9*x^6+2*x^5+8*x^4+2*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314048 4.26552 [(x^10+4*x^9+6*x^8+3*x^7+2*x^6-x^5+2*x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314048 4.45331 [(x^10+4*x^9+6*x^8+3*x^7+2*x^6-x^5+2*x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314049 6.49611 [(x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314049 7.61372 [(x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314051 4.72051 [(x^10+4*x^9+6*x^8+4*x^7+6*x^6+5*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314051 5.57540 [(x^10+4*x^9+6*x^8+4*x^7+6*x^6+5*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314052 3.40664 [(x^12+4*x^11+6*x^10+4*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314052 4.87663 [(x^12+4*x^11+6*x^10+4*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314054 4.18817 [(x^10+3*x^9+2*x^8-2*x^7+3*x^6+2*x^5+3*x^4-2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314054 4.26340 [(x^10+3*x^9+2*x^8-2*x^7+3*x^6+2*x^5+3*x^4-2*x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314055 3.20396 [(x^12+5*x^11+11*x^10+15*x^9+21*x^8+25*x^7+28*x^6+25*x^5+21*x^4+15*x^3+11*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314055 4.48149 [(x^12+5*x^11+11*x^10+15*x^9+21*x^8+25*x^7+28*x^6+25*x^5+21*x^4+15*x^3+11*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314056 4.75219 [(x^8+3*x^7+3*x^6+x^5+5*x^4+x^3+3*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314056 5.85187 [(x^8+3*x^7+3*x^6+x^5+5*x^4+x^3+3*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314057 3.40664 [(x^12+4*x^11+6*x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314057 4.87663 [(x^12+4*x^11+6*x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+4*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314059 3.35843 [(x^12+3*x^11+4*x^10+4*x^9+8*x^8+2*x^7+9*x^6+2*x^5+8*x^4+4*x^3+4*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314060 4.50625 [(x^10+4*x^9+6*x^8+3*x^7+2*x^6+2*x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314060 4.71515 [(x^10+4*x^9+6*x^8+3*x^7+2*x^6+2*x^4+3*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314061 4.50625 [(x^10+4*x^9+6*x^8+4*x^7+7*x^6+9*x^5+7*x^4+4*x^3+6*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314061 4.71515 [(x^10+4*x^9+6*x^8+4*x^7+7*x^6+9*x^5+7*x^4+4*x^3+6*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314065 3.22167 [(x^12+5*x^11+11*x^10+15*x^9+22*x^8+25*x^7+26*x^6+25*x^5+22*x^4+15*x^3+11*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314065 4.50625 [(x^12+5*x^11+11*x^10+15*x^9+22*x^8+25*x^7+26*x^6+25*x^5+22*x^4+15*x^3+11*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314066 5.35329 [(x^8+4*x^7+5*x^6-x^5-2*x^4-x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314067 4.77844 [(x^8+3*x^7+2*x^6-x^5+6*x^4-x^3+2*x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314067 6.30078 [(x^8+3*x^7+2*x^6-x^5+6*x^4-x^3+2*x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314068 5.014 [(x^8+4*x^7+7*x^6+8*x^5+13*x^4+8*x^3+7*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314068 5.01400 [(x^8+4*x^7+7*x^6+8*x^5+13*x^4+8*x^3+7*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314069 3.0956 [(x^14+3*x^13+3*x^12+x^11+7*x^10+2*x^9+8*x^8+3*x^7+8*x^6+2*x^5+7*x^4+x^3+3*x^2+3*x+1)/(x^4+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314070 4.13947 [(x^12+3*x^11+3*x^10+3*x^8-4*x^7+4*x^6-4*x^5+3*x^4+3*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x^3+1)/(x-1)^2 ogf] A314078 3.74817 [(x^2+1)*(x^10+4*x^9+5*x^8+2*x^6+7*x^5+2*x^4+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314078 4.90342 [(x^2+1)*(x^10+4*x^9+5*x^8+2*x^6+7*x^5+2*x^4+5*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314079 4.02191 [(x^14+5*x^13+11*x^12+15*x^11+23*x^10+26*x^9+30*x^8+30*x^7+30*x^6+26*x^5+23*x^4+15*x^3+11*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314085 4.82932 [(x^8+2*x^7+x^6-x^4+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314085 4.89687 [(x^8+2*x^7+x^6-x^4+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314086 3.60955 [(x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)*(x^4-x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314086 4.79625 [(x^6+2*x^5+2*x^4+3*x^3+2*x^2+2*x+1)*(x^4-x^2+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314087 4.26766 [(x^2+x+1)*(x^6-x^4+2*x^3-x^2+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314088 4.8563 [(x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314088 5.54460 [(x^8+2*x^7+x^6+x^5+x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314089 3.45178 [(x^12+3*x^11+3*x^10+2*x^9+2*x^8+2*x^7+3*x^6+2*x^5+2*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314090 4.75219 [(x^6+x^5+x^3+x+1)*(x+1)^2/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314090 7.01066 [(x^6+x^5+x^3+x+1)*(x+1)^2/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314091 4.69443 [(x^10+4*x^9+6*x^8+4*x^7-x^5+4*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314091 4.92422 [(x^10+4*x^9+6*x^8+4*x^7-x^5+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314092 3.36921 [(x^12+4*x^11+6*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314092 4.82304 [(x^12+4*x^11+6*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314093 7.01065 [(x^6+2*x^5-x^3+2*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314093 7.61372 [(x^6+2*x^5-x^3+2*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314094 3.47096 [(x^12+3*x^11+3*x^10+2*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314095 3.48806 [(x^10+2*x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314095 4.84984 [(x^10+2*x^9+x^8+x^7+x^6+2*x^5+x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314096 5.02182 [(x^2+x+1)*(x^4+x^3-x^2+x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314096 6.49611 [(x^2+x+1)*(x^4+x^3-x^2+x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314097 4.75219 [(x^8+3*x^7+4*x^6+5*x^5+5*x^4+5*x^3+4*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314097 4.88328 [(x^8+3*x^7+4*x^6+5*x^5+5*x^4+5*x^3+4*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314098 6.05193 [(x^8+4*x^7+5*x^6-5*x^4+5*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314099 4.62795 [(x^4+x^3-2*x^2+x+1)*(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314099 5.57540 [(x^4+x^3-2*x^2+x+1)*(x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314100 3.97796 [(x^10+3*x^9+3*x^8+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314103 3.22167 [(x^14+3*x^13+2*x^12+3*x^10+7*x^9+4*x^8-3*x^7+4*x^6+7*x^5+3*x^4+2*x^2+3*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314106 3.38792 [(x^12+4*x^11+6*x^10+5*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314106 4.84984 [(x^12+4*x^11+6*x^10+5*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314107 3.47096 [(x^12+3*x^11+3*x^10+2*x^9+3*x^8+x^7+5*x^6+x^5+3*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314108 4.14214 [(x^10+3*x^9+2*x^8-x^7+x^6+3*x^5+x^4-x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A314108 4.21655 [(x^10+3*x^9+2*x^8-x^7+x^6+3*x^5+x^4-x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314109 3.63116 [(x^10+2*x^9+x^8+x^7+2*x^6+2*x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314109 4.84984 [(x^10+2*x^9+x^8+x^7+2*x^6+2*x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314110 4.26552 [(x^10+4*x^9+6*x^8+4*x^7+x^6-x^5+x^4+4*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314110 4.45331 [(x^10+4*x^9+6*x^8+4*x^7+x^6-x^5+x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314111 3.97796 [(x^10+3*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314112 4.77844 [(x^8+3*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314112 5.8842 [(x^8+3*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314117 3.40664 [(x^12+4*x^11+6*x^10+5*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314117 4.87663 [(x^12+4*x^11+6*x^10+5*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314120 5.014 [(x^8+4*x^7+7*x^6+9*x^5+11*x^4+9*x^3+7*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314120 5.01400 [(x^8+4*x^7+7*x^6+9*x^5+11*x^4+9*x^3+7*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314121 4.13947 [(x^12+3*x^11+3*x^10+x^9-x^7+2*x^6-x^5+x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^6-x^3+1)/(x-1)^2 ogf] A314124 3.49014 [(x^12+3*x^11+3*x^10+2*x^9+3*x^8+2*x^7+4*x^6+2*x^5+3*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314127 3.40664 [(x^12+4*x^11+6*x^10+5*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314127 4.87663 [(x^12+4*x^11+6*x^10+5*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314133 3.50733 [(x^10+2*x^9+x^8+x^7+2*x^6+x^5+2*x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314133 4.87663 [(x^10+2*x^9+x^8+x^7+2*x^6+x^5+2*x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314134 3.49014 [(x^12+3*x^11+3*x^10+2*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314135 3.99993 [(x^10+3*x^9+3*x^8+3*x^7+6*x^6+6*x^5+6*x^4+3*x^3+3*x^2+3*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314135 4.47791 [(x^10+3*x^9+3*x^8+3*x^7+6*x^6+6*x^5+6*x^4+3*x^3+3*x^2+3*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314140 3.40664 [(x^12+4*x^11+6*x^10+5*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314140 4.87663 [(x^12+4*x^11+6*x^10+5*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314141 5.35329 [(x^8+3*x^7+2*x^6+4*x^4+2*x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314141 7.34008 [(x^8+3*x^7+2*x^6+4*x^4+2*x^2+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314142 4.28909 [(x^10+4*x^9+6*x^8+4*x^7+2*x^6-2*x^5+2*x^4+4*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314142 4.47791 [(x^10+4*x^9+6*x^8+4*x^7+2*x^6-2*x^5+2*x^4+4*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314144 4.18817 [(x^10+3*x^9+2*x^8-x^7+2*x^6+2*x^5+2*x^4-x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf] A314144 4.26340 [(x^10+3*x^9+2*x^8-x^7+2*x^6+2*x^5+2*x^4-x^3+2*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314145 6.532 [(x^6+4*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314145 7.65578 [(x^6+4*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314148 5.04956 [(x^8+4*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314148 6.53200 [(x^8+4*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314149 3.40664 [(x^12+4*x^11+6*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314149 4.87663 [(x^12+4*x^11+6*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314150 4.06761 [-(x^13-x^11+x^9-2*x^8-6*x^7-10*x^6-11*x^5-11*x^4-11*x^3-10*x^2-5*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A314150 4.97153 [-(x^13-x^11+x^9-2*x^8-6*x^7-10*x^6-11*x^5-11*x^4-11*x^3-10*x^2-5*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A314151 5.51929 [(x^8+3*x^7+2*x^6-x^5+x^4-x^3+2*x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314151 5.69590 [(x^8+3*x^7+2*x^6-x^5+x^4-x^3+2*x^2+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314156 3.97759 [(x^14+5*x^13+11*x^12+15*x^11+17*x^10+17*x^9+16*x^8+15*x^7+16*x^6+17*x^5+17*x^4+15*x^3+11*x^2+5*x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314157 3.50733 [(x^10+2*x^9+x^8+x^7+3*x^6-x^5+3*x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314157 4.87663 [(x^10+2*x^9+x^8+x^7+3*x^6-x^5+3*x^4+x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314159 3.49014 [(x^12+3*x^11+3*x^10+2*x^9+4*x^8+2*x^7+3*x^6+2*x^5+4*x^4+2*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314160 3.45625 [(x^10+3*x^9+4*x^8+5*x^7+8*x^6+6*x^5+8*x^4+5*x^3+4*x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314160 4.50625 [(x^10+3*x^9+4*x^8+5*x^7+8*x^6+6*x^5+8*x^4+5*x^3+4*x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314161 6.53200 [(x^6+3*x^5+2*x^4-x^3+2*x^2+3*x+1)/(x-1)^2/(x^4+1) ogf] A314161 7.99987 [(x^6+3*x^5+2*x^4-x^3+2*x^2+3*x+1)/(x^4+1)/(x-1)^2 ogf] A314163 4.77267 [(x^10+4*x^9+6*x^8+5*x^7+6*x^6+6*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314163 5.63701 [(x^10+4*x^9+6*x^8+5*x^7+6*x^6+6*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314164 4.02191 [(x^10+3*x^9+3*x^8+2*x^7+4*x^6+2*x^5+4*x^4+2*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314165 3.42536 [(x^12+4*x^11+6*x^10+5*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314165 4.90342 [(x^12+4*x^11+6*x^10+5*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+5*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314167 6.11880 [(x^8+4*x^7+5*x^6-3*x^4+5*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314167 6.11881 [(x^8+4*x^7+5*x^6-3*x^4+5*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314168 4.02191 [(x^10+2*x^9+x^8+2*x^7+5*x^6-x^5+5*x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314169 4.04463 [(x^2+x+1)*(x^8+3*x^7+3*x^6+3*x^5+6*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314169 4.41914 [(x^2+x+1)*(x^8+3*x^7+3*x^6+3*x^5+6*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314172 3.63401 [(x^8+2*x^7-x^6-2*x^5+7*x^4-2*x^3-x^2+2*x+1)*(x^2+1)^2/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314181 3.61415 [-(x^2+1)*(x^13-x^12-x^11+x^10+2*x^9-4*x^8-4*x^7-4*x^6-x^5-3*x^4-x^3-5*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314181 4.62330 [-(x^2+1)*(x^13-x^12-x^11+x^10+2*x^9-4*x^8-4*x^7-4*x^6-x^5-3*x^4-x^3-5*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314185 4.72051 [(x^10+4*x^9+6*x^8+5*x^7-x^5+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314185 4.95158 [(x^10+4*x^9+6*x^8+5*x^7-x^5+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314186 3.38792 [(x^12+4*x^11+6*x^10+6*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314186 4.84984 [(x^12+4*x^11+6*x^10+6*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314188 4.94436 [(x^4+2*x^3+2*x+1)*(x^2+x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314188 5.8842 [(x^4+2*x^3+2*x+1)*(x^2+x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314189 5.014 [(x^10+4*x^9+6*x^8+5*x^7+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314189 5.27399 [(x^10+4*x^9+6*x^8+5*x^7+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314191 3.99993 [(x^10+3*x^9+3*x^8+3*x^7+x^6+5*x^5+x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314192 3.97759 [(x^14+5*x^13+11*x^12+16*x^11+16*x^10+16*x^9+16*x^8+17*x^7+16*x^6+16*x^5+16*x^4+16*x^3+11*x^2+5*x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314193 5.04956 [(x^8+4*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314193 6.53200 [(x^8+4*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314194 3.37435 [(x^2+x+1)*(x^10+3*x^9+2*x^8+x^7+x^6+4*x^5+x^4+x^3+2*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314194 4.87663 [(x^2+x+1)*(x^10+3*x^9+2*x^8+x^7+x^6+4*x^5+x^4+x^3+2*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314198 4.8047 [-(x^9-x^8+x^7-2*x^6-5*x^5-6*x^4-7*x^3-6*x^2-4*x-1)*(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314198 5.63701 [-(x^9-x^8+x^7-2*x^6-5*x^5-6*x^4-7*x^3-6*x^2-4*x-1)*(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314201 4.66334 [(x^10+2*x^9+x^7+x^6+x^4+x^3+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314201 4.9589 [(x^10+2*x^9+x^7+x^6+x^4+x^3+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314202 3.7865 [(x^10+2*x^9+x^8+2*x^7+2*x^5+2*x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314202 4.84984 [(x^10+2*x^9+x^8+2*x^7+2*x^5+2*x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314203 3.97796 [(x^10+3*x^9+3*x^8+3*x^7+2*x^6+2*x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314204 3.47096 [(x^12+3*x^11+3*x^10+3*x^9+2*x^8+2*x^7+3*x^6+2*x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314205 4.77844 [(x^2+1)*(x^4+x^3-2*x^2+x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A314205 6.532 [(x^2+1)*(x^4+x^3-2*x^2+x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A314208 3.49014 [(x^12+3*x^11+3*x^10+3*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314209 4.31508 [(x^2+x+1)*(x^8+2*x^7+x^5+x^4+x^3+2*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314210 3.45625 [(x^2+x+1)*(x^8+x^7-x^6+2*x^5-x^4+2*x^3-x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314210 4.87663 [(x^2+x+1)*(x^8+x^7-x^6+2*x^5-x^4+2*x^3-x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314211 3.40664 [(x^8+2*x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+2*x+1)*(x^2+x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314211 4.50625 [(x^8+2*x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+2*x+1)*(x^2+x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314216 3.49014 [(x^12+3*x^11+3*x^10+3*x^9+2*x^8+4*x^7+x^6+4*x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314218 4.77267 [(x^10+4*x^9+6*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314218 5.63701 [(x^10+4*x^9+6*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314219 3.19598 [(x^12+2*x^11+2*x^9+3*x^8+2*x^7+2*x^5+3*x^4+2*x^3+2*x+1)*(x^2+x+1)/(x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314220 4.02191 [(x^10+3*x^9+3*x^8+3*x^7+2*x^6+4*x^5+2*x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314221 3.42536 [(x^12+4*x^11+6*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314221 4.90342 [(x^12+4*x^11+6*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314222 4.53101 [(x^10+4*x^9+6*x^8+5*x^7+x^6+x^4+5*x^3+6*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314222 4.74106 [(x^10+4*x^9+6*x^8+5*x^7+x^6+x^4+5*x^3+6*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314225 3.42536 [(x^12+4*x^11+6*x^10+6*x^9+5*x^8+7*x^7+4*x^6+7*x^5+5*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314225 4.90342 [(x^12+4*x^11+6*x^10+6*x^9+5*x^8+7*x^7+4*x^6+7*x^5+5*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314227 3.86973 [(x^4+2*x^3+2*x+1)*(x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314228 4.11554 [(x^4+x^3-x^2+x+1)*(x^2+1)^2*(x+1)^4/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314228 4.50625 [(x^4+x^3-x^2+x+1)*(x^2+1)^2*(x+1)^4/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314231 4.8047 [(x^2+1)*(x^8+4*x^7+5*x^6+2*x^5+x^4+2*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314231 5.63701 [(x^2+1)*(x^8+4*x^7+5*x^6+2*x^5+x^4+2*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314233 4.53496 [(x^8+x^7-x^6+x^5+x^3-x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314233 4.71515 [(x^8+x^7-x^6+x^5+x^3-x^2+x+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314234 3.45625 [(x^4+x^3+x^2+x+1)*(x^6+x^5-x^4+x^3-x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314234 4.87663 [(x^4+x^3+x^2+x+1)*(x^6+x^5-x^4+x^3-x^2+x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314235 4.02191 [(x^10+2*x^9+2*x^8+4*x^7+2*x^6+3*x^5+2*x^4+4*x^3+2*x^2+2*x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314236 4.47791 [(x^10+2*x^9+x^7+2*x^6-x^5+2*x^4+x^3+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314236 4.74659 [(x^10+2*x^9+x^7+2*x^6-x^5+2*x^4+x^3+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314238 3.72865 [-(x^15-x^14+x^12-3*x^10-3*x^9-6*x^8-8*x^7-10*x^6-11*x^5-10*x^4-7*x^3-6*x^2-4*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^2/(x^2-x+1)^2 ogf] A314239 3.42536 [(x^12+4*x^11+6*x^10+6*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314239 4.90342 [(x^12+4*x^11+6*x^10+6*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314240 3.50931 [(x^12+3*x^11+3*x^10+3*x^9+3*x^8+2*x^7+4*x^6+2*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314242 3.69021 [(x^2+x+1)*(x^10+3*x^9+3*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+3*x^2+3*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314243 4.02191 [(x^14+5*x^13+11*x^12+17*x^11+23*x^10+28*x^9+26*x^8+30*x^7+26*x^6+28*x^5+23*x^4+17*x^3+11*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314244 3.42536 [(x^12+4*x^11+6*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314244 4.90342 [(x^12+4*x^11+6*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+6*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314247 6.11880 [(x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A314247 6.3354 [(x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314249 5.22555 [(x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314249 6.56789 [(x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314250 4.80470 [(x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314250 5.91653 [(x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314251 4.93724 [(x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314251 5.63701 [(x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314252 4.02191 [(x^10+3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314253 3.5266 [(x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314253 4.90342 [(x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314254 3.50931 [(x^12+3*x^11+3*x^10+3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314258 3.28395 [(x^12+3*x^11+4*x^10+7*x^9+4*x^8+12*x^7+x^6+12*x^5+4*x^4+7*x^3+4*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314258 4.02191 [(x^12+3*x^11+4*x^10+7*x^9+4*x^8+12*x^7+x^6+12*x^5+4*x^4+7*x^3+4*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314259 3.91202 [(x^12+2*x^11+2*x^9-2*x^8+6*x^7-3*x^6+6*x^5-2*x^4+2*x^3+2*x+1)*(x^2+x+1)/(x^4+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A314261 4.13685 [-(x^2+1)*(x^10-2*x^9+2*x^8-x^7-x^6-4*x^5-2*x^4-4*x^3-3*x^2-3*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314261 4.86359 [-(x^2+1)*(x^10-2*x^9+2*x^8-x^7-x^6-4*x^5-2*x^4-4*x^3-3*x^2-3*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314263 3.5795 [(x^12+2*x^11+x^10+4*x^9+8*x^7-4*x^6+8*x^5+4*x^3+x^2+2*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314268 3.21345 [-(x^16-x^15-x^14+x^13+x^12-x^11-x^10+2*x^9-2*x^8-5*x^7-5*x^6-x^5-x^4-3*x^3-5*x^2-4*x-1)*(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314268 4.67410 [-(x^16-x^15-x^14+x^13+x^12-x^11-x^10+2*x^9-2*x^8-5*x^7-5*x^6-x^5-x^4-3*x^3-5*x^2-4*x-1)*(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314270 3.45846 [-(x^4+x^3+x^2+x+1)*(x^11-2*x^10+x^9+x^8-x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-3*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^2/(x^2-x+1)^2 ogf] A314275 3.82834 [(x^12+4*x^11+8*x^10+7*x^9+14*x^8+8*x^7+16*x^6+8*x^5+14*x^4+7*x^3+8*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314275 3.93352 [(x^12+4*x^11+8*x^10+7*x^9+14*x^8+8*x^7+16*x^6+8*x^5+14*x^4+7*x^3+8*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314283 4.77267 [(x^10+4*x^9+7*x^8+4*x^7+7*x^6+4*x^5+7*x^4+4*x^3+7*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314283 5.63701 [(x^10+4*x^9+7*x^8+4*x^7+7*x^6+4*x^5+7*x^4+4*x^3+7*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314286 4.06761 [(x^10+4*x^9+8*x^8+9*x^7+13*x^6+8*x^5+13*x^4+9*x^3+8*x^2+4*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314286 4.44658 [(x^10+4*x^9+8*x^8+9*x^7+13*x^6+8*x^5+13*x^4+9*x^3+8*x^2+4*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314287 3.82834 [(x^12+4*x^11+8*x^10+9*x^9+14*x^8+8*x^7+12*x^6+8*x^5+14*x^4+9*x^3+8*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314287 3.93352 [(x^12+4*x^11+8*x^10+9*x^9+14*x^8+8*x^7+12*x^6+8*x^5+14*x^4+9*x^3+8*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314290 3.31435 [(x^12+3*x^11+5*x^10+5*x^9+8*x^8+7*x^7+5*x^6+7*x^5+8*x^4+5*x^3+5*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314290 4.02191 [(x^12+3*x^11+5*x^10+5*x^9+8*x^8+7*x^7+5*x^6+7*x^5+8*x^4+5*x^3+5*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314296 3.31462 [(x^14+5*x^13+7*x^12+11*x^11+13*x^10+17*x^9+19*x^8+28*x^7+19*x^6+17*x^5+13*x^4+11*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314296 4.00516 [(x^14+5*x^13+7*x^12+11*x^11+13*x^10+17*x^9+19*x^8+28*x^7+19*x^6+17*x^5+13*x^4+11*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314299 4.60395 [(x^10+5*x^9+7*x^8+11*x^7+13*x^6+20*x^5+13*x^4+11*x^3+7*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314299 5.28734 [(x^10+5*x^9+7*x^8+11*x^7+13*x^6+20*x^5+13*x^4+11*x^3+7*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314306 4.2018 [(x^14+3*x^13+9*x^11-3*x^10+18*x^9-10*x^8+27*x^7-10*x^6+18*x^5-3*x^4+9*x^3+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314312 3.42545 [(x^11+5*x^10+7*x^9+12*x^8+19*x^7+17*x^6+17*x^5+17*x^4+12*x^3+7*x^2+5*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314312 4.71586 [(x^11+5*x^10+7*x^9+12*x^8+19*x^7+17*x^6+17*x^5+17*x^4+12*x^3+7*x^2+5*x+1)/(x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314314 4.15056 [(x^14+3*x^13+10*x^11-5*x^10+20*x^9-12*x^8+29*x^7-12*x^6+20*x^5-5*x^4+10*x^3+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314322 3.62377 [(x^10+4*x^9+x^8+2*x^7+4*x^6+6*x^5+4*x^4+2*x^3+x^2+4*x+1)*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314324 3.78515 [-(x^2+x+1)*(2*x^14-2*x^13+2*x^12-2*x^10+x^9+x^8-3*x^7-2*x^6-3*x^5-6*x^4-7*x^3-2*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314324 4.86286 [-(x^2+x+1)*(2*x^14-2*x^13+2*x^12-2*x^10+x^9+x^8-3*x^7-2*x^6-3*x^5-6*x^4-7*x^3-2*x^2-4*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314335 3.37243 [(x^14+5*x^13+8*x^12+13*x^11+16*x^10+21*x^9+23*x^8+28*x^7+23*x^6+22*x^5+15*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314335 4.07502 [(x^14+5*x^13+8*x^12+13*x^11+16*x^10+21*x^9+23*x^8+28*x^7+23*x^6+22*x^5+15*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314336 4.68378 [(x^10+5*x^9+8*x^8+13*x^7+15*x^6+20*x^5+15*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314336 5.37903 [(x^10+5*x^9+8*x^8+13*x^7+15*x^6+20*x^5+15*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314338 3.84646 [(x^10+3*x^9-x^8+9*x^7-4*x^6+14*x^5-4*x^4+9*x^3-x^2+3*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314338 4.30322 [(x^10+3*x^9-x^8+9*x^7-4*x^6+14*x^5-4*x^4+9*x^3-x^2+3*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314339 3.4085 [(x^15+4*x^14+3*x^13+11*x^12+5*x^11+17*x^10+8*x^9+19*x^8+15*x^7+12*x^6+15*x^5+5*x^4+11*x^3+3*x^2+4*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314340 3.4085 [(x^15+4*x^14+4*x^13+9*x^12+7*x^11+15*x^10+10*x^9+17*x^8+17*x^7+10*x^6+16*x^5+5*x^4+11*x^3+3*x^2+4*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314345 3.17628 [(x^12+4*x^11+3*x^10+10*x^9+3*x^8+9*x^7+6*x^6+9*x^5+3*x^4+10*x^3+3*x^2+4*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314347 4.67857 [(x^8+5*x^7+7*x^6+13*x^5+14*x^4+13*x^3+7*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314347 5.96921 [(x^8+5*x^7+7*x^6+13*x^5+14*x^4+13*x^3+7*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314350 3.91202 [(x^10+5*x^9+7*x^8+9*x^7+12*x^6+12*x^5+14*x^4+9*x^3+6*x^2+5*x+1)*(x^2+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314350 4.67857 [(x^10+5*x^9+7*x^8+9*x^7+12*x^6+12*x^5+14*x^4+9*x^3+6*x^2+5*x+1)*(x^2+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314351 3.41098 [(x^14+5*x^13+7*x^12+14*x^11+20*x^10+23*x^9+25*x^8+32*x^7+25*x^6+23*x^5+20*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314351 4.12160 [(x^14+5*x^13+7*x^12+14*x^11+20*x^10+23*x^9+25*x^8+32*x^7+25*x^6+23*x^5+20*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314352 3.44952 [(x^14+5*x^13+8*x^12+14*x^11+20*x^10+25*x^9+27*x^8+32*x^7+27*x^6+26*x^5+20*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314352 4.16817 [(x^14+5*x^13+8*x^12+14*x^11+20*x^10+25*x^9+27*x^8+32*x^7+27*x^6+26*x^5+20*x^4+14*x^3+7*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314353 3.91202 [(x^2-x+1)*(x^12+4*x^11+3*x^10+10*x^9+5*x^8+14*x^7+2*x^6+14*x^5+5*x^4+10*x^3+3*x^2+4*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314355 3.93425 [(x^14+5*x^13+8*x^12+14*x^11+15*x^10+23*x^9+19*x^8+22*x^7+20*x^6+23*x^5+14*x^4+15*x^3+7*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314364 4.58562 [(x^8+4*x^7+3*x^6+11*x^5+2*x^4+11*x^3+3*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314364 5.28571 [(x^8+4*x^7+3*x^6+11*x^5+2*x^4+11*x^3+3*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314365 4.34939 [(x^2+1)*(x^8+3*x^7-x^6+8*x^5-6*x^4+8*x^3-x^2+3*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314365 4.48879 [(x^2+1)*(x^8+3*x^7-x^6+8*x^5-6*x^4+8*x^3-x^2+3*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314369 3.66364 [(x^12+6*x^11+13*x^10+28*x^9+39*x^8+54*x^7+56*x^6+54*x^5+39*x^4+28*x^3+13*x^2+6*x+1)/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314377 3.7779 [(x^14+3*x^13+x^12+5*x^11+x^10+7*x^9+3*x^8+12*x^7+3*x^6+7*x^5+x^4+5*x^3+x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314380 3.80151 [-(2*x^13-2*x^12+2*x^11-5*x^10+x^9-5*x^8-3*x^7-3*x^6-9*x^5-x^4-5*x^3-x^2-3*x-1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314389 4.05091 [-(x^12+x^11-2*x^10-6*x^9-9*x^8-14*x^7-18*x^6-18*x^5-14*x^4-11*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314389 4.68907 [-(x^12+x^11-2*x^10-6*x^9-9*x^8-14*x^7-18*x^6-18*x^5-14*x^4-11*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314390 3.91202 [(x^14+3*x^13+x^12+6*x^11+3*x^10+8*x^9+4*x^8+11*x^7+4*x^6+8*x^5+3*x^4+6*x^3+x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314393 3.97986 [-(x^13-2*x^11-4*x^10-5*x^9-8*x^8-9*x^7-8*x^6-11*x^5-8*x^4-7*x^3-4*x^2-4*x-1)/(x+1)/(x^4+1)/(x^2+1)^2/(x-1)^2 ogf] A314398 3.15833 [-(x^2+1)*(x^14-3*x^12-3*x^11-2*x^10-5*x^9-8*x^8-4*x^7-10*x^6-5*x^5-8*x^4-3*x^3-3*x^2-4*x-1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314410 3.76238 [(x^10+4*x^9+4*x^8+8*x^7+9*x^6+12*x^5+9*x^4+8*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314413 3.16177 [-(x^17+x^14-3*x^12-3*x^11-6*x^10-9*x^9-11*x^8-11*x^7-11*x^6-10*x^5-11*x^4-8*x^3-4*x^2-4*x-1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314414 3.23247 [(x^13+5*x^12+8*x^11+12*x^10+18*x^9+19*x^8+17*x^7+19*x^6+17*x^5+18*x^4+12*x^3+8*x^2+5*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314414 4.14769 [(x^13+5*x^12+8*x^11+12*x^10+18*x^9+19*x^8+17*x^7+19*x^6+17*x^5+18*x^4+12*x^3+8*x^2+5*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314426 4.17282 [-(x^8-x^7-3*x^6+x^5-2*x^4-3*x^3+x^2-3*x-1)*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314426 5.83488 [-(x^8-x^7-3*x^6+x^5-2*x^4-3*x^3+x^2-3*x-1)*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314427 5.72255 [-(x^8-3*x^6-3*x^5-4*x^4-5*x^3-3*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314427 6.85572 [-(x^8-3*x^6-3*x^5-4*x^4-5*x^3-3*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314428 3.93438 [(x^12+5*x^11+8*x^10+12*x^9+12*x^8+13*x^7+16*x^6+13*x^5+12*x^4+12*x^3+8*x^2+5*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314428 4.41356 [(x^12+5*x^11+8*x^10+12*x^9+12*x^8+13*x^7+16*x^6+13*x^5+12*x^4+12*x^3+8*x^2+5*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314435 3.62528 [-(x^15-3*x^13-3*x^12-3*x^11-6*x^10-5*x^9-8*x^8-9*x^7-10*x^6-5*x^5-6*x^4-5*x^3-3*x^2-4*x-1)/(x+1)/(x^2+1)/(x^4+1)^2/(x-1)^2 ogf] A314436 3.76238 [-(x^13-2*x^11-4*x^10-5*x^9-9*x^8-11*x^7-13*x^6-11*x^5-9*x^4-9*x^3-4*x^2-4*x-1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314445 3.39678 [-(x^12+x^11-2*x^10-6*x^9-9*x^8-13*x^7-12*x^6-17*x^5-13*x^4-12*x^3-8*x^2-5*x-1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314445 4.52169 [-(x^12+x^11-2*x^10-6*x^9-9*x^8-13*x^7-12*x^6-17*x^5-13*x^4-12*x^3-8*x^2-5*x-1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314447 3.91202 [-(x^16+2*x^15+2*x^14-2*x^12-2*x^11-x^10-2*x^8-7*x^7-11*x^6-15*x^5-16*x^4-13*x^3-8*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314447 4.29602 [-(x^16+2*x^15+2*x^14-2*x^12-2*x^11-x^10-2*x^8-7*x^7-11*x^6-15*x^5-16*x^4-13*x^3-8*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314458 7.82405 [-(x^6-3*x^4-4*x^3-3*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A314458 8.19224 [-(x^6-3*x^4-4*x^3-3*x^2-4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A314460 3.68672 [-(2*x^16+2*x^14-2*x^12-x^10-x^9-3*x^8-8*x^7-6*x^6-10*x^5-12*x^4-8*x^3-7*x^2-5*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A314460 4.42870 [-(2*x^16+2*x^14-2*x^12-x^10-x^9-3*x^8-8*x^7-6*x^6-10*x^5-12*x^4-8*x^3-7*x^2-5*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A314462 3.57444 [-(2*x^16+2*x^15+2*x^13+x^12-3*x^11-4*x^10-7*x^9-13*x^8-17*x^7-22*x^6-19*x^5-21*x^4-13*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314462 4.04692 [-(2*x^16+2*x^15+2*x^13+x^12-3*x^11-4*x^10-7*x^9-13*x^8-17*x^7-22*x^6-19*x^5-21*x^4-13*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314500 4.19313 [-(2*x^16+2*x^14-x^12-7*x^11-10*x^10-18*x^9-20*x^8-27*x^7-26*x^6-25*x^5-18*x^4-14*x^3-8*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314501 5.08277 [(x^8+4*x^7+3*x^6+7*x^5+7*x^4+7*x^3+3*x^2+4*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A314501 5.23564 [(x^8+4*x^7+3*x^6+7*x^5+7*x^4+7*x^3+3*x^2+4*x+1)/(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A314508 3.39928 [-(2*x^12+2*x^11-x^10-7*x^9-11*x^8-22*x^7-26*x^6-26*x^5-22*x^4-18*x^3-9*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A314515 4.14488 [(x^2+x+1)*(x^12+2*x^11-2*x^10+9*x^9-6*x^8+8*x^7+8*x^5-6*x^4+9*x^3-2*x^2+2*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314517 4.58562 [(x^8+4*x^7+5*x^6+13*x^5+9*x^4+13*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x-1)^2/(x^2+1)^2 ogf] A314517 5.45219 [(x^8+4*x^7+5*x^6+13*x^5+9*x^4+13*x^3+5*x^2+4*x+1)/(x^2+x+1)/(x-1)^2/(x^2+1)^2 ogf] A314524 3.38286 [(x^10+3*x^9+x^8+9*x^7+2*x^6+10*x^5+2*x^4+9*x^3+x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314524 4.48879 [(x^10+3*x^9+x^8+9*x^7+2*x^6+10*x^5+2*x^4+9*x^3+x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314530 3.5328 [(x^12+4*x^11+4*x^10+11*x^9+5*x^8+19*x^7+2*x^6+19*x^5+5*x^4+11*x^3+4*x^2+4*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314531 3.17964 [(x^12+5*x^11+8*x^10+15*x^9+17*x^8+23*x^7+21*x^6+24*x^5+16*x^4+15*x^3+8*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314531 4.46372 [(x^12+5*x^11+8*x^10+15*x^9+17*x^8+23*x^7+21*x^6+24*x^5+16*x^4+15*x^3+8*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314538 3.95673 [(x^12+5*x^11+8*x^10+14*x^9+13*x^8+13*x^7+13*x^6+13*x^5+13*x^4+14*x^3+8*x^2+5*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314538 4.43864 [(x^12+5*x^11+8*x^10+14*x^9+13*x^8+13*x^7+13*x^6+13*x^5+13*x^4+14*x^3+8*x^2+5*x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314548 4.63743 [(x^8+4*x^7+4*x^6+10*x^5+4*x^4+10*x^3+4*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314548 5.34544 [(x^8+4*x^7+4*x^6+10*x^5+4*x^4+10*x^3+4*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314553 4.07123 [-(x^10+3*x^9+x^8-10*x^7-26*x^6-40*x^5-43*x^4-34*x^3-19*x^2-7*x-1)/(x^2+x+1)^2/(x+1)^2/(x-1)^2 ogf] A314553 4.73143 [-(x^10+3*x^9+x^8-10*x^7-26*x^6-40*x^5-43*x^4-34*x^3-19*x^2-7*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2 ogf] A314555 3.44952 [-(x^12+3*x^11+x^10-9*x^9-23*x^8-41*x^7-56*x^6-59*x^5-50*x^4-35*x^3-19*x^2-7*x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A314556 3.46659 [-(x^14+2*x^13-6*x^11-15*x^10-32*x^9-48*x^8-58*x^7-60*x^6-56*x^5-43*x^4-28*x^3-14*x^2-6*x-1)/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314567 4.16665 [-(x^12+x^11-2*x^10-5*x^9-9*x^8-19*x^7-20*x^6-23*x^5-19*x^4-17*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314567 4.82304 [-(x^12+x^11-2*x^10-5*x^9-9*x^8-19*x^7-20*x^6-23*x^5-19*x^4-17*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314588 3.93438 [-(2*x^11-4*x^10+4*x^9-5*x^8+2*x^7-3*x^6-x^5-2*x^4-3*x^3+x^2-2*x-1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A314588 4.33029 [-(2*x^11-4*x^10+4*x^9-5*x^8+2*x^7-3*x^6-x^5-2*x^4-3*x^3+x^2-2*x-1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A314612 3.88967 [(x^14+3*x^13+2*x^12+5*x^11+2*x^10+8*x^9+4*x^8+13*x^7+4*x^6+8*x^5+2*x^4+5*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314616 3.91202 [(x^14+3*x^13+2*x^12+5*x^11+3*x^10+7*x^9+4*x^8+13*x^7+4*x^6+7*x^5+3*x^4+5*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314617 4.68378 [(x^10+3*x^9+2*x^8+5*x^7+3*x^6+10*x^5+3*x^4+5*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314625 3.5328 [-(x^18-x^16+2*x^15-x^14-3*x^12-x^11-3*x^10-2*x^9-5*x^8-4*x^7-4*x^6-4*x^5-4*x^4-2*x^3-x^2-3*x-1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A314630 3.20569 [(x^12+3*x^11+2*x^10+5*x^9+5*x^8+7*x^7+2*x^6+7*x^5+5*x^4+5*x^3+2*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314630 3.93425 [(x^12+3*x^11+2*x^10+5*x^9+5*x^8+7*x^7+2*x^6+7*x^5+5*x^4+5*x^3+2*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314632 4.07311 [-(x^13+x^12-x^10-6*x^9-11*x^8-14*x^7-18*x^6-22*x^5-17*x^4-12*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314632 4.71039 [-(x^13+x^12-x^10-6*x^9-11*x^8-14*x^7-18*x^6-22*x^5-17*x^4-12*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314633 5.60202 [-(2*x^8-3*x^6-6*x^5-5*x^4-6*x^3-5*x^2-4*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A314633 5.78721 [-(2*x^8-3*x^6-6*x^5-5*x^4-6*x^3-5*x^2-4*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A314634 2.88082 [(x^4+x^3-x^2+x+1)*(x^12+2*x^11+4*x^9+x^7+4*x^6+x^5+4*x^3+2*x+1)/(x^2-x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314641 3.48384 [-(x^2-x+1)*(x^14+x^12+x^11-x^10-2*x^9-3*x^8-8*x^7-5*x^6-4*x^5-4*x^4-6*x^3-8*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314641 4.51775 [-(x^2-x+1)*(x^14+x^12+x^11-x^10-2*x^9-3*x^8-8*x^7-5*x^6-4*x^5-4*x^4-6*x^3-8*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314653 3.37508 [-(x^17-2*x^14-5*x^13-9*x^12-8*x^11-8*x^10-14*x^9-17*x^8-18*x^7-14*x^6-11*x^5-7*x^4-8*x^3-8*x^2-5*x-1)/(x^2+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A314658 3.64436 [-(x^13-x^12+x^11-2*x^10-4*x^9-5*x^8-6*x^7-7*x^6-11*x^5-6*x^4-5*x^3-4*x^2-4*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^2/(x^2-x+1)^2 ogf] A314668 3.37508 [(x^12+3*x^11+x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314669 3.29434 [(x^12+4*x^11+4*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314669 4.71586 [(x^12+4*x^11+4*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314670 3.86807 [(x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314671 4.59011 [(x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314671 5.42139 [(x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314672 4.62091 [(x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314672 5.69022 [(x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314674 4.88309 [(x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314674 6.31666 [(x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314677 5.88475 [(x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A314677 6.09306 [(x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314680 3.29728 [(x^2+x+1)*(x^2-x+1)*(x^6+2*x^5-2*x^4+2*x^3-2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314680 4.74266 [(x^2+x+1)*(x^2-x+1)*(x^6+2*x^5-2*x^4+2*x^3-2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314683 3.51284 [(x^12+3*x^11+x^10+3*x^9+x^8+4*x^7+4*x^5+x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314684 3.31305 [(x^12+4*x^11+4*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314684 4.74266 [(x^12+4*x^11+4*x^10+4*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314685 6.35255 [(x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314685 7.44546 [(x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314688 4.35489 [(x^10+2*x^9-2*x^8+3*x^7+x^5+3*x^3-2*x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314688 4.61619 [(x^10+2*x^9-2*x^8+3*x^7+x^5+3*x^3-2*x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314689 3.33177 [(x^12+4*x^11+4*x^10+4*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314689 4.76945 [(x^12+4*x^11+4*x^10+4*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314691 5.04594 [(x^10+3*x^9+x^6+4*x^5+x^4+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314691 5.15807 [(x^10+3*x^9+x^6+4*x^5+x^4+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314692 5.36766 [(x^4+x^3+x^2+x+1)*(x^6+3*x^5+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314692 5.45219 [(x^4+x^3+x^2+x+1)*(x^6+3*x^5+3*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314698 3.23011 [-(2*x^16-2*x^15+2*x^13-2*x^12-x^10-2*x^9+x^8-9*x^7+5*x^6-7*x^5+x^4-5*x^3+x^2-2*x-1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314706 4.3577 [(x^10+4*x^9+4*x^8+3*x^7+x^6+x^4+3*x^3+4*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314706 4.55971 [(x^10+4*x^9+4*x^8+3*x^7+x^6+x^4+3*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314707 3.56922 [(x^2+1)*(x^8+2*x^7-2*x^6+2*x^5+2*x^3-2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314707 4.74266 [(x^2+1)*(x^8+2*x^7-2*x^6+2*x^5+2*x^3-2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314708 3.89005 [(x^10+3*x^9+x^8+3*x^7+2*x^6+2*x^5+2*x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314710 4.77537 [(x^8+2*x^7-x^6+4*x^5-2*x^4+4*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314710 5.45219 [(x^8+2*x^7-x^6+4*x^5-2*x^4+4*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314712 3.39426 [(x^12+3*x^11+x^10+3*x^9+2*x^8+2*x^7+3*x^6+2*x^5+2*x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314717 3.66495 [-(x^13-x^12+x^11-2*x^10-3*x^9-7*x^8-2*x^7-12*x^6-8*x^5-9*x^4-5*x^3-4*x^2-4*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A314720 3.64576 [(x^2+1)*(x^10+4*x^9+3*x^8+2*x^6+5*x^5+2*x^4+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314720 4.76945 [(x^2+1)*(x^10+4*x^9+3*x^8+2*x^6+5*x^5+2*x^4+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314725 3.91202 [(x^10+3*x^9+x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314726 3.41343 [(x^12+3*x^11+x^10+3*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314736 5.23564 [(x^8+3*x^7+x^5+4*x^4+x^3+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314736 7.17876 [(x^8+3*x^7+x^5+4*x^4+x^3+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314737 3.43261 [(x^12+3*x^11+x^10+3*x^9+2*x^8+4*x^7+x^6+4*x^5+2*x^4+3*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314740 3.934 [(x^10+3*x^9+x^8+3*x^7+2*x^6+4*x^5+2*x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314741 3.35049 [(x^12+4*x^11+4*x^10+4*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314741 4.79625 [(x^12+4*x^11+4*x^10+4*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314742 4.21655 [(x^10+2*x^9-2*x^8+3*x^7+x^6+x^4+3*x^3-2*x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314742 4.45674 [(x^10+2*x^9-2*x^8+3*x^7+x^6+x^4+3*x^3-2*x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314743 3.33177 [(x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+1)*(x^8+2*x^7+2*x^6+3*x^5+5*x^4+3*x^3+2*x^2+2*x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314752 3.33177 [(x^12+4*x^11+4*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314752 4.76945 [(x^12+4*x^11+4*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314753 5.08277 [(x^2+1)*(x^4+2*x^3-2*x^2+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314753 6.38844 [(x^2+1)*(x^4+2*x^3-2*x^2+2*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314754 3.91202 [(x^10+3*x^9+x^8+3*x^7+3*x^6+x^5+3*x^4+3*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314757 3.09484 [-(x^16-x^15+x^14-x^13+x^11-3*x^10-2*x^9-8*x^8-6*x^7-11*x^6-8*x^5-10*x^4-8*x^3-5*x^2-4*x-1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314758 4.32509 [(x^8+2*x^7-x^6+3*x^5-3*x^4+3*x^3-x^2+2*x+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314758 4.61152 [(x^8+2*x^7-x^6+3*x^5-3*x^4+3*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314762 3.33177 [(x^12+5*x^11+10*x^10+17*x^9+24*x^8+31*x^7+32*x^6+31*x^5+24*x^4+17*x^3+10*x^2+5*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314763 5.08277 [(x^8+4*x^7+4*x^6+5*x^5+9*x^4+5*x^3+4*x^2+4*x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A314763 5.23564 [(x^8+4*x^7+4*x^6+5*x^5+9*x^4+5*x^3+4*x^2+4*x+1)/(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A314765 3.43025 [(x^10+2*x^9-x^8+4*x^7-x^6+3*x^5-x^4+4*x^3-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314765 4.76945 [(x^10+2*x^9-x^8+4*x^7-x^6+3*x^5-x^4+4*x^3-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314766 3.934 [-(x^16+3*x^14-x^13-x^12-3*x^10+2*x^9-4*x^8-5*x^7-11*x^6-14*x^5-17*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314766 4.32254 [-(x^16+3*x^14-x^13-x^12-3*x^10+2*x^9-4*x^8-5*x^7-11*x^6-14*x^5-17*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314770 4.21839 [(x^10+4*x^9+4*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+4*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314770 4.40410 [(x^10+4*x^9+4*x^8+3*x^7+2*x^6+x^5+2*x^4+3*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314772 4.14214 [-(2*x^13+2*x^12-x^10-7*x^9-13*x^8-17*x^7-21*x^6-24*x^5-19*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314772 4.79023 [-(2*x^13+2*x^12-x^10-7*x^9-13*x^8-17*x^7-21*x^6-24*x^5-19*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314776 5.80283 [(x^8+5*x^7+9*x^6+13*x^5+18*x^4+13*x^3+9*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314776 6.44759 [(x^8+5*x^7+9*x^6+13*x^5+18*x^4+13*x^3+9*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314778 4.60692 [-(x^17+x^11-x^10-3*x^8-6*x^7-10*x^6-14*x^5-18*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314778 5.14891 [-(x^17+x^11-x^10-3*x^8-6*x^7-10*x^6-14*x^5-18*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314779 3.39928 [-(x^2-x+1)*(x^9+x^8+x^7-3*x^6-7*x^5-9*x^4-10*x^3-6*x^2-4*x-1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A314787 3.44952 [(x^14+5*x^13+9*x^12+13*x^11+21*x^10+23*x^9+29*x^8+32*x^7+29*x^6+23*x^5+21*x^4+13*x^3+9*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314787 4.16817 [(x^14+5*x^13+9*x^12+13*x^11+21*x^10+23*x^9+29*x^8+32*x^7+29*x^6+23*x^5+21*x^4+13*x^3+9*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314789 4.93135 [-(x^11+x^9-2*x^8-6*x^7-11*x^6-14*x^5-19*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314789 5.55756 [-(x^11+x^9-2*x^8-6*x^7-11*x^6-14*x^5-19*x^4-13*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A314801 3.51885 [(x^2+x+1)*(x^12+4*x^11+4*x^10+6*x^9+6*x^8+11*x^7+10*x^6+11*x^5+6*x^4+6*x^3+4*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314801 4.16817 [(x^2+x+1)*(x^12+4*x^11+4*x^10+6*x^9+6*x^8+11*x^7+10*x^6+11*x^5+6*x^4+6*x^3+4*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314807 3.42786 [(x^15+4*x^14+6*x^13+7*x^12+11*x^11+10*x^10+15*x^9+15*x^8+19*x^7+11*x^6+14*x^5+8*x^4+9*x^3+5*x^2+4*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A314811 4.07311 [(x^11+4*x^10+6*x^9+7*x^8+10*x^7+12*x^6+14*x^5+8*x^4+9*x^3+5*x^2+4*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314816 3.53663 [-(x^15+x^14-x^13+x^11-3*x^10-6*x^9-3*x^8-5*x^7-6*x^6-9*x^5-4*x^4-5*x^3-4*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A314823 3.43025 [(x^14+5*x^13+9*x^12+14*x^11+18*x^10+21*x^9+27*x^8+32*x^7+27*x^6+21*x^5+18*x^4+14*x^3+9*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314823 4.14488 [(x^14+5*x^13+9*x^12+14*x^11+18*x^10+21*x^9+27*x^8+32*x^7+27*x^6+21*x^5+18*x^4+14*x^3+9*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314825 5.88475 [(x^8+4*x^7+3*x^6-3*x^4+3*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314826 3.70282 [(x^2+x+1)*(x^10+3*x^9+2*x^7+2*x^6+2*x^4+2*x^3+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314826 4.74266 [(x^2+x+1)*(x^10+3*x^9+2*x^7+2*x^6+2*x^4+2*x^3+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314827 4.14628 [(x^10+3*x^9+x^8+4*x^7+4*x^5+4*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314827 4.27425 [(x^10+3*x^9+x^8+4*x^7+4*x^5+4*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314828 4.61619 [(x^10+4*x^9+4*x^8+5*x^7+4*x^6+4*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314828 5.45219 [(x^10+4*x^9+4*x^8+5*x^7+4*x^6+4*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314829 7.44546 [(x^2+x+1)*(x^4+2*x^3-3*x^2+2*x+1)/(x^4+1)/(x-1)^2 ogf] A314829 7.44546 [(x^2+x+1)*(x^4+2*x^3-3*x^2+2*x+1)/(x-1)^2/(x^4+1) ogf] A314830 3.68313 [(x^12+3*x^11+x^10+4*x^9+4*x^7+x^6+4*x^5+4*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314832 3.33177 [(x^12+4*x^11+4*x^10+5*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314832 4.76945 [(x^12+4*x^11+4*x^10+5*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314836 6.12768 [(x^8+3*x^7+x^5-x^4+x^3+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314836 6.35255 [(x^8+3*x^7+x^5-x^4+x^3+3*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314837 3.33177 [(x^12+4*x^11+4*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314837 4.76945 [(x^12+4*x^11+4*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314838 4.93858 [(x^8+4*x^7+4*x^6+5*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314838 6.38844 [(x^8+4*x^7+4*x^6+5*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314840 6.38844 [(x^6+4*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314840 7.48753 [(x^6+4*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314841 5.04594 [(x^10+3*x^9+x^7+4*x^5+x^3+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314841 5.15807 [(x^10+3*x^9+x^7+4*x^5+x^3+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314847 4.64227 [(x^10+4*x^9+4*x^8+4*x^7+2*x^5+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314847 4.86951 [(x^10+4*x^9+4*x^8+4*x^7+2*x^5+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314848 5.23564 [(x^8+3*x^7+2*x^5+2*x^4+2*x^3+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314848 7.17876 [(x^8+3*x^7+2*x^5+2*x^4+2*x^3+3*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314849 3.33177 [(x^12+4*x^11+4*x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314849 4.76945 [(x^12+4*x^11+4*x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314851 4.73143 [(x^12+3*x^11+x^10+4*x^9+x^8+9*x^7+9*x^5+x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A314861 3.31873 [-(x^15+2*x^14+2*x^13-7*x^11-18*x^10-33*x^9-46*x^8-58*x^7-61*x^6-55*x^5-41*x^4-28*x^3-15*x^2-6*x-1)/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314874 4.22024 [(x^8+3*x^7+2*x^6+6*x^5+6*x^3+2*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314874 5.12015 [(x^8+3*x^7+2*x^6+6*x^5+6*x^3+2*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314884 3.39426 [(x^12+3*x^11+x^10+4*x^9+x^8+3*x^7+x^6+3*x^5+x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314885 3.36396 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+2*x^6+3*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314885 4.76945 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+2*x^6+3*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314886 3.91202 [(x^10+3*x^9+x^8+4*x^7+x^6+3*x^5+x^4+4*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314887 4.24598 [(x^2+1)*(x^12+4*x^11+3*x^10+x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314890 3.43025 [(x^10+2*x^9-x^8+5*x^7-4*x^6+7*x^5-4*x^4+5*x^3-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314890 4.76945 [(x^10+2*x^9-x^8+5*x^7-4*x^6+7*x^5-4*x^4+5*x^3-x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314891 3.68554 [-(x^13-x^12+x^11-2*x^10-3*x^9-7*x^8-3*x^7-12*x^6-8*x^5-9*x^4-6*x^3-4*x^2-4*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A314893 3.55276 [(x^12+3*x^11+x^10+4*x^9+x^8+4*x^7+4*x^5+x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314894 3.36396 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+2*x^6+4*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314894 4.76945 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+2*x^6+4*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314896 4.69968 [(x^8+3*x^7+x^6+4*x^5+x^4+4*x^3+x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314896 5.78721 [(x^8+3*x^7+x^6+4*x^5+x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314898 3.934 [(x^10+3*x^9+x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314899 4.21839 [(x^10+4*x^9+4*x^8+4*x^7+x^6+x^5+x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314899 4.40410 [(x^10+4*x^9+4*x^8+4*x^7+x^6+x^5+x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314901 3.41827 [-(x^17+x^16+x^15+2*x^14-x^12-x^11-4*x^10-8*x^9-11*x^8-16*x^7-20*x^6-22*x^5-19*x^4-14*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314902 3.74466 [(x^2+x+1)*(x^10+3*x^9+2*x^7+3*x^6+3*x^4+2*x^3+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314902 4.79625 [(x^2+x+1)*(x^10+3*x^9+2*x^7+3*x^6+3*x^4+2*x^3+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314903 4.57249 [(x^10+3*x^9+x^7+x^6+3*x^5+x^4+x^3+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314903 4.66334 [(x^10+3*x^9+x^7+x^6+3*x^5+x^4+x^3+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314906 3.74555 [-(x^15+2*x^14+x^12+x^11-4*x^10-8*x^9-11*x^8-17*x^7-21*x^6-22*x^5-19*x^4-14*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314906 4.26766 [-(x^15+2*x^14+x^12+x^11-4*x^10-8*x^9-11*x^8-17*x^7-21*x^6-22*x^5-19*x^4-14*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314908 4.45673 [-(2*x^10-2*x^9+2*x^8-5*x^7-x^6-3*x^5-3*x^4-5*x^3-x^2-3*x-1)/(x+1)/(x^2-x+1)/(x^2+1)/(x-1)^2 ogf] A314908 4.45674 [-(2*x^10-2*x^9+2*x^8-5*x^7-x^6-3*x^5-3*x^4-5*x^3-x^2-3*x-1)/(x+1)/(x^2+1)/(x^2-x+1)/(x-1)^2 ogf] A314912 3.43261 [(x^12+3*x^11+x^10+4*x^9+x^8+5*x^7-x^6+5*x^5+x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314915 3.38286 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+2*x^6+5*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314915 4.79625 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+2*x^6+5*x^5+2*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314916 4.19313 [-(x^12+x^10-x^9-2*x^8-5*x^7-5*x^6-6*x^5-8*x^4-6*x^3-4*x^2-4*x-1)/(x^2+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A314916 4.40410 [-(x^12+x^10-x^9-2*x^8-5*x^7-5*x^6-6*x^5-8*x^4-6*x^3-4*x^2-4*x-1)/(x^2-x+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A314920 4.19313 [-(x^13-2*x^10-5*x^9-10*x^8-7*x^7-11*x^6-11*x^5-10*x^4-9*x^3-8*x^2-5*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A314920 4.86286 [-(x^13-2*x^10-5*x^9-10*x^8-7*x^7-11*x^6-11*x^5-10*x^4-9*x^3-8*x^2-5*x-1)/(x^4+1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A314922 4.76945 [-(x^10+x^9+x^8-3*x^7-8*x^6-17*x^5-21*x^4-21*x^3-14*x^2-6*x-1)/(x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314933 3.44952 [(x+1)*(x^13+4*x^12+6*x^11+8*x^10+11*x^9+12*x^8+16*x^7+16*x^6+12*x^5+11*x^4+9*x^3+5*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314933 4.14350 [(x+1)*(x^13+4*x^12+6*x^11+8*x^10+11*x^9+12*x^8+16*x^7+16*x^6+12*x^5+11*x^4+9*x^3+5*x^2+4*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A314935 3.62825 [-(x^17+x^13-x^12-x^10-x^9-7*x^8-9*x^7-14*x^6-14*x^5-15*x^4-13*x^3-9*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314935 4.34939 [-(x^17+x^13-x^12-x^10-x^9-7*x^8-9*x^7-14*x^6-14*x^5-15*x^4-13*x^3-9*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314936 3.40421 [-(2*x^16+2*x^14+x^13-2*x^12-x^11-2*x^10-x^9-2*x^8-8*x^7-8*x^6-9*x^5-11*x^4-9*x^3-8*x^2-5*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A314936 4.02316 [-(2*x^16+2*x^14+x^13-2*x^12-x^11-2*x^10-x^9-2*x^8-8*x^7-8*x^6-9*x^5-11*x^4-9*x^3-8*x^2-5*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A314938 3.80572 [-(x^13+x^11-x^10-x^9-7*x^8-9*x^7-15*x^6-14*x^5-15*x^4-13*x^3-9*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314938 4.60692 [-(x^13+x^11-x^10-x^9-7*x^8-9*x^7-15*x^6-14*x^5-15*x^4-13*x^3-9*x^2-5*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314941 5.98506 [(x^6+3*x^5+2*x^4+7*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+1)^2 ogf] A314941 7.868 [(x^6+3*x^5+2*x^4+7*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+1)^2 ogf] A314943 4.34939 [(x^2+1)*(x^8+3*x^7+x^5+2*x^4+x^3+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314945 4.82932 [(x^8+2*x^7-x^6+5*x^5-3*x^4+5*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314945 5.51380 [(x^8+2*x^7-x^6+5*x^5-3*x^4+5*x^3-x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314946 3.82651 [(x^12+4*x^11+5*x^10+8*x^9+8*x^8+12*x^7+12*x^6+12*x^5+8*x^4+8*x^3+5*x^2+4*x+1)/(x^2-x+1)/(x^4+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314947 6.0185 [(x^8+4*x^7+3*x^6-x^4+3*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314947 6.01850 [(x^8+4*x^7+3*x^6-x^4+3*x^2+4*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314948 3.68554 [(x^12+3*x^11+2*x^10+7*x^9+5*x^8+10*x^7+5*x^6+10*x^5+5*x^4+7*x^3+2*x^2+3*x+1)*(x+1)^2/(x^4+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314953 4.69968 [(x^8+3*x^7+2*x^6+7*x^5+3*x^4+7*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314953 4.82932 [(x^8+3*x^7+2*x^6+7*x^5+3*x^4+7*x^3+2*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A314954 4.96633 [(x^2+1)*(x^6+4*x^5+3*x^4+x^3+3*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314954 6.42433 [(x^2+1)*(x^6+4*x^5+3*x^4+x^3+3*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314955 3.35049 [(x^12+4*x^11+4*x^10+5*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314955 4.79625 [(x^12+4*x^11+4*x^10+5*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+5*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314957 3.74555 [(x^12+4*x^11+4*x^10+4*x^9+3*x^8+5*x^7+3*x^6+5*x^5+3*x^4+4*x^3+4*x^2+4*x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A314958 3.53851 [-(x^19-x^18+2*x^16-2*x^15+x^14-3*x^10-5*x^9-2*x^8-8*x^7-4*x^6-5*x^5-6*x^4-5*x^3-4*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314958 4.09398 [-(x^19-x^18+2*x^16-2*x^15+x^14-3*x^10-5*x^9-2*x^8-8*x^7-4*x^6-5*x^5-6*x^4-5*x^3-4*x^2-4*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314959 3.45178 [(x^12+3*x^11+x^10+4*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314961 6.01850 [(x^6+2*x^5-2*x^4+3*x^3-2*x^2+2*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314961 6.46022 [(x^6+2*x^5-2*x^4+3*x^3-2*x^2+2*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314963 3.48596 [(x^2+1)*(x^8+2*x^7-2*x^6+3*x^5-x^4+3*x^3-2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314963 4.82304 [(x^2+1)*(x^8+2*x^7-2*x^6+3*x^5-x^4+3*x^3-2*x^2+2*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314964 4.24195 [(x^10+4*x^9+4*x^8+4*x^7+2*x^6+x^5+2*x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314964 4.42870 [(x^10+4*x^9+4*x^8+4*x^7+2*x^6+x^5+2*x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314969 4.72593 [(x^8+3*x^7+x^6+4*x^5+2*x^4+4*x^3+x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A314969 5.81954 [(x^8+3*x^7+x^6+4*x^5+2*x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A314970 3.45178 [(x^12+3*x^11+x^10+4*x^9+2*x^8+4*x^7+x^6+4*x^5+2*x^4+4*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314971 4.69443 [(x^10+4*x^9+4*x^8+5*x^7+6*x^6+6*x^5+6*x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314971 5.54460 [(x^10+4*x^9+4*x^8+5*x^7+6*x^6+6*x^5+6*x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314972 3.95598 [(x^10+3*x^9+x^8+4*x^7+2*x^6+4*x^5+2*x^4+4*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A314973 3.42066 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+3*x^6+5*x^5+3*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314973 4.84984 [(x^2+1)*(x^10+4*x^9+3*x^8+x^7+3*x^6+5*x^5+3*x^4+x^3+3*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A314974 4.26552 [(x^10+4*x^9+4*x^8+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314974 4.45331 [(x^10+4*x^9+4*x^8+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A314975 3.24806 [(x^12+3*x^11+2*x^10+7*x^9+4*x^8+12*x^7-x^6+12*x^5+4*x^4+7*x^3+2*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314975 4.02316 [(x^12+3*x^11+2*x^10+7*x^9+4*x^8+12*x^7-x^6+12*x^5+4*x^4+7*x^3+2*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A314981 3.80514 [(x^12+5*x^11+9*x^10+14*x^9+21*x^8+23*x^7+30*x^6+23*x^5+21*x^4+14*x^3+9*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314981 4.70500 [(x^12+5*x^11+9*x^10+14*x^9+21*x^8+23*x^7+30*x^6+23*x^5+21*x^4+14*x^3+9*x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A314982 3.68672 [-(x^2+1)*(2*x^14+2*x^13-x^12+x^10-3*x^9-5*x^8-5*x^7-9*x^6-12*x^5-13*x^4-9*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314982 4.04692 [-(x^2+1)*(2*x^14+2*x^13-x^12+x^10-3*x^9-5*x^8-5*x^7-9*x^6-12*x^5-13*x^4-9*x^3-8*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A314994 4.32254 [-(x^10-x^9+x^8-3*x^7-2*x^6-8*x^5-x^4-6*x^3-4*x^2-4*x-1)/(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A314994 5.55756 [-(x^10-x^9+x^8-3*x^7-2*x^6-8*x^5-x^4-6*x^3-4*x^2-4*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315001 3.34779 [(x^2+x+1)*(x^12+3*x^11+x^10+6*x^9+x^8+7*x^7+7*x^5+x^4+6*x^3+x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315010 3.48384 [-(x^18-2*x^17+3*x^16-3*x^15+x^14-3*x^13-5*x^12-4*x^11-4*x^10-13*x^9-x^8-18*x^7-15*x^5-8*x^3-2*x^2-3*x-1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315018 4.9038 [(x^10+4*x^9+4*x^8+5*x^7+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315018 5.15807 [(x^10+4*x^9+4*x^8+5*x^7+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315019 3.33177 [(x^12+4*x^11+4*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315019 4.76945 [(x^12+4*x^11+4*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315020 4.67342 [(x^8+3*x^7+x^6+5*x^5-x^4+5*x^3+x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315020 5.75488 [(x^8+3*x^7+x^6+5*x^5-x^4+5*x^3+x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315024 3.33177 [(x^12+4*x^11+4*x^10+6*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315024 4.76945 [(x^12+4*x^11+4*x^10+6*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315026 4.66835 [(x^10+4*x^9+4*x^8+5*x^7+x^5+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315026 4.89687 [(x^10+4*x^9+4*x^8+5*x^7+x^5+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315030 3.43261 [(x^12+3*x^11+x^10+5*x^9-x^8+7*x^7-3*x^6+7*x^5-x^4+5*x^3+x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315032 4.96633 [(x^8+4*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315032 6.42433 [(x^8+4*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315033 4.66835 [(x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315033 5.51380 [(x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315034 3.59104 [(x^10+3*x^9+3*x^7+x^6+2*x^5+x^4+3*x^3+3*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315034 4.79625 [(x^10+3*x^9+3*x^7+x^6+2*x^5+x^4+3*x^3+3*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315036 8.23826 [-(x^6-x^5-2*x^3-3*x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A315036 8.64509 [-(x^6-x^5-2*x^3-3*x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A315038 5.02182 [-(x^2+x+1)*(x^9-x^7+x^6-x^5-3*x^4-3*x^3-3*x^2-4*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A315038 5.71029 [-(x^2+x+1)*(x^9-x^7+x^6-x^5-3*x^4-3*x^3-3*x^2-4*x-1)/(x^2+1)/(x+1)^2/(x-1)^2 ogf] A315039 3.59267 [-(x^13+x^12+x^11-2*x^10-7*x^9-16*x^8-25*x^7-30*x^6-33*x^5-28*x^4-23*x^3-14*x^2-6*x-1)/(x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2 ogf] A315041 3.93412 [(x^14+3*x^13+2*x^12+8*x^11+2*x^10+10*x^9+5*x^8+13*x^7+5*x^6+10*x^5+2*x^4+8*x^3+2*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315043 3.89041 [(x^12+7*x^11+20*x^10+36*x^9+46*x^8+44*x^7+42*x^6+44*x^5+46*x^4+36*x^3+20*x^2+7*x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2 ogf] A315045 3.39928 [-(x^17+x^13-2*x^12-6*x^11-10*x^10-15*x^9-21*x^8-24*x^7-27*x^6-23*x^5-20*x^4-15*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315045 4.19313 [-(x^17+x^13-2*x^12-6*x^11-10*x^10-15*x^9-21*x^8-24*x^7-27*x^6-23*x^5-20*x^4-15*x^3-9*x^2-5*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315047 4.19482 [(x^8+6*x^7+13*x^6+17*x^5+17*x^4+17*x^3+13*x^2+6*x+1)*(x^2+1)^2/(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315050 4.69968 [(x^2+1)*(x^8+4*x^7+3*x^6+2*x^5+2*x^4+2*x^3+3*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315050 5.51380 [(x^2+1)*(x^8+4*x^7+3*x^6+2*x^5+2*x^4+2*x^3+3*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315052 3.35049 [(x^12+4*x^11+4*x^10+6*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315052 4.79625 [(x^12+4*x^11+4*x^10+6*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315053 4.45674 [(x^10+4*x^9+4*x^8+5*x^7+x^6+x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315053 4.66334 [(x^10+4*x^9+4*x^8+5*x^7+x^6+x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315055 4.48512 [-(x^11-2*x^8-5*x^7-10*x^6-9*x^5-11*x^4-10*x^3-8*x^2-5*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A315055 5.63331 [-(x^11-2*x^8-5*x^7-10*x^6-9*x^5-11*x^4-10*x^3-8*x^2-5*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A315056 3.60955 [(x^2+x+1)*(x^8+3*x^7-x^6+3*x^4-x^2+3*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315056 4.79625 [(x^2+x+1)*(x^8+3*x^7-x^6+3*x^4-x^2+3*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315057 4.26983 [(x^2+1)*(x^12+4*x^11+3*x^10+2*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+2*x^3+3*x^2+4*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315058 5.10264 [(x^10+3*x^9+2*x^7+3*x^5+2*x^3+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315058 5.21603 [(x^10+3*x^9+2*x^7+3*x^5+2*x^3+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315060 4.21655 [(x^10+3*x^9+x^8+5*x^7+5*x^5+5*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315060 4.34669 [(x^10+3*x^9+x^8+5*x^7+5*x^5+5*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315061 7.57166 [(x^6+3*x^5+2*x^3+3*x+1)/(x^4+1)/(x-1)^2 ogf] A315061 9.64608 [(x^6+3*x^5+2*x^3+3*x+1)/(x^4+1)/(x-1)^2 ogf] A315062 3.36921 [(x^12+4*x^11+4*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315062 4.82304 [(x^12+4*x^11+4*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315064 4.24195 [(x^10+4*x^9+4*x^8+5*x^7+x^6+x^5+x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315064 4.42870 [(x^10+4*x^9+4*x^8+5*x^7+x^6+x^5+x^4+5*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315067 4.02379 [(x^10+2*x^9-2*x^8+5*x^7-3*x^6+4*x^5-3*x^4+5*x^3-2*x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315067 4.24195 [(x^10+2*x^9-2*x^8+5*x^7-3*x^6+4*x^5-3*x^4+5*x^3-2*x^2+2*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315068 4.69443 [(x^10+4*x^9+4*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315068 5.54460 [(x^10+4*x^9+4*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315069 4.21655 [(x^10+3*x^9+x^8+5*x^7+6*x^5+5*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315069 4.34669 [(x^10+3*x^9+x^8+5*x^7+6*x^5+5*x^3+x^2+3*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315070 3.38792 [(x^12+4*x^11+4*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315070 4.84984 [(x^12+4*x^11+4*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+4*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315071 4.02444 [(x^3+2*x^2+x+1)*(x^3+x^2+2*x+1)*(x^4+4*x^3+4*x^2+4*x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^2/(x-1)^2 ogf] A315071 4.34939 [(x^3+2*x^2+x+1)*(x^3+x^2+2*x+1)*(x^4+4*x^3+4*x^2+4*x+1)/(x^2+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2 ogf] A315074 3.53663 [(x^9+4*x^8+7*x^7+10*x^6+8*x^5+9*x^4+9*x^3+8*x^2+5*x+1)*(x^3+2*x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315075 5.98506 [(x^6+3*x^5+x^4+5*x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315075 6.19692 [(x^6+3*x^5+x^4+5*x^3+x^2+3*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315076 3.29049 [(x^10+3*x^9+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+3*x+1)*(x+1)^2*(x^2+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315084 3.43261 [(x^14+5*x^13+10*x^12+15*x^11+17*x^10+24*x^9+28*x^8+32*x^7+28*x^6+24*x^5+17*x^4+16*x^3+9*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315084 4.14350 [(x^14+5*x^13+10*x^12+15*x^11+17*x^10+24*x^9+28*x^8+32*x^7+28*x^6+24*x^5+17*x^4+16*x^3+9*x^2+5*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315086 4.64227 [(x^12+3*x^11+x^10+6*x^9-3*x^8+11*x^7+11*x^5-3*x^4+6*x^3+x^2+3*x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A315089 3.57271 [-(x^17+2*x^14-x^13-x^12+x^11-3*x^10-7*x^9-9*x^8-17*x^7-19*x^6-24*x^5-18*x^4-16*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315089 4.04770 [-(x^17+2*x^14-x^13-x^12+x^11-3*x^10-7*x^9-9*x^8-17*x^7-19*x^6-24*x^5-18*x^4-16*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315092 4.8563 [(x^2+x+1)*(x^8+4*x^7+4*x^6+8*x^5+7*x^4+8*x^3+4*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315092 5.50128 [(x^2+x+1)*(x^8+4*x^7+4*x^6+8*x^5+7*x^4+8*x^3+4*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315094 4.14214 [-(x^14+x^11-2*x^10-6*x^9-10*x^8-17*x^7-20*x^6-23*x^5-19*x^4-16*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315094 4.79023 [-(x^14+x^11-2*x^10-6*x^9-10*x^8-17*x^7-20*x^6-23*x^5-19*x^4-16*x^3-9*x^2-5*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315100 3.6879 [-(x^15+x^14+x^12-2*x^10-x^9-2*x^8-7*x^7-9*x^6-11*x^5-12*x^4-11*x^3-8*x^2-5*x-1)*(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315103 4.8563 [(x^2+x+1)*(x^8+4*x^7+4*x^6+8*x^5+8*x^4+8*x^3+4*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315103 5.50128 [(x^2+x+1)*(x^8+4*x^7+4*x^6+8*x^5+8*x^4+8*x^3+4*x^2+4*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315106 5.13099 [-(x^10-x^9+x^7-3*x^6-3*x^5-5*x^4-7*x^3-4*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315106 6.00064 [-(x^10-x^9+x^7-3*x^6-3*x^5-5*x^4-7*x^3-4*x^2-4*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315108 4.02316 [(x^14+5*x^13+9*x^12+16*x^11+21*x^10+28*x^9+27*x^8+26*x^7+27*x^6+28*x^5+21*x^4+16*x^3+9*x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315109 4.66334 [(x^8+4*x^7+5*x^6+10*x^5+7*x^4+10*x^3+5*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315109 5.3753 [(x^8+4*x^7+5*x^6+10*x^5+7*x^4+10*x^3+5*x^2+4*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315110 4.34403 [-(x^12-x^11+x^8-3*x^7-3*x^6-5*x^5-6*x^4-7*x^3-4*x^2-4*x-1)/(x^2-x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A315110 5.57540 [-(x^12-x^11+x^8-3*x^7-3*x^6-5*x^5-6*x^4-7*x^3-4*x^2-4*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315111 3.45403 [(x^2-x+1)*(x^12+6*x^11+14*x^10+24*x^9+32*x^8+36*x^7+36*x^6+36*x^5+32*x^4+24*x^3+14*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315111 4.21474 [(x^2-x+1)*(x^12+6*x^11+14*x^10+24*x^9+32*x^8+36*x^7+36*x^6+36*x^5+32*x^4+24*x^3+14*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315116 4.21655 [-(x^13-2*x^10-5*x^9-9*x^8-12*x^7-12*x^6-7*x^5-12*x^4-12*x^3-8*x^2-5*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A315116 4.89003 [-(x^13-2*x^10-5*x^9-9*x^8-12*x^7-12*x^6-7*x^5-12*x^4-12*x^3-8*x^2-5*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A315122 4.16367 [-(2*x^13+2*x^12-x^10-8*x^9-14*x^8-14*x^7-22*x^6-24*x^5-20*x^4-10*x^3-10*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315122 4.81073 [-(2*x^13+2*x^12-x^10-8*x^9-14*x^8-14*x^7-22*x^6-24*x^5-20*x^4-10*x^3-10*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315124 3.82557 [-(2*x^12-2*x^11-x^10-5*x^9-4*x^8-5*x^7-11*x^6-6*x^5-9*x^4-3*x^3-4*x^2-5*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A315131 3.55638 [-(4*x^15-x^12-6*x^11-14*x^10-16*x^9-22*x^8-22*x^7-30*x^6-22*x^5-18*x^4-12*x^3-10*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315131 4.42870 [-(4*x^15-x^12-6*x^11-14*x^10-16*x^9-22*x^8-22*x^7-30*x^6-22*x^5-18*x^4-12*x^3-10*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315132 4.57681 [-(x^2+1)*(2*x^7-2*x^6-3*x^5-5*x^4+3*x^3-3*x^2-5*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315132 6.42433 [-(x^2+1)*(2*x^7-2*x^6-3*x^5-5*x^4+3*x^3-3*x^2-5*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315133 3.93388 [-(2*x^16-x^14-8*x^13-10*x^12-14*x^11-20*x^10-26*x^9-28*x^8-32*x^7-24*x^6-22*x^5-20*x^4-12*x^3-10*x^2-6*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315134 4.68925 [-(2*x^11-3*x^8-7*x^7-4*x^6-3*x^5-12*x^4-3*x^3-4*x^2-5*x-1)/(x^2+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A315134 4.95158 [-(2*x^11-3*x^8-7*x^7-4*x^6-3*x^5-12*x^4-3*x^3-4*x^2-5*x-1)/(x^2+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A315135 6.26616 [-(2*x^7-2*x^6-x^5-7*x^4-2*x^3-4*x^2-5*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A315135 7.01065 [-(2*x^7-2*x^6-x^5-7*x^4-2*x^3-4*x^2-5*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A315138 4.16367 [-(2*x^13+2*x^12-x^10-8*x^9-14*x^8-16*x^7-23*x^6-24*x^5-21*x^4-12*x^3-10*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315138 4.81073 [-(2*x^13+2*x^12-x^10-8*x^9-14*x^8-16*x^7-23*x^6-24*x^5-21*x^4-12*x^3-10*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315140 3.44492 [(x^15+5*x^14+5*x^13+8*x^12+8*x^11+11*x^10+13*x^9+17*x^8+17*x^7+11*x^6+11*x^5+8*x^4+8*x^3+5*x^2+5*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315141 5.23564 [(x^9+4*x^8+4*x^6+5*x^5+4*x^4+4*x^3+4*x+1)/(x^2+x+1)/(x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A315141 5.23564 [(x^9+4*x^8+4*x^6+5*x^5+4*x^4+4*x^3+4*x+1)/(x+1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A315162 3.43495 [(x^14+6*x^13+10*x^12+14*x^11+16*x^10+22*x^9+26*x^8+32*x^7+26*x^6+22*x^5+16*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315162 4.14214 [(x^14+6*x^13+10*x^12+14*x^11+16*x^10+22*x^9+26*x^8+32*x^7+26*x^6+22*x^5+16*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315170 3.33177 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315170 4.76945 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315171 4.61152 [(x^10+4*x^9+4*x^7+4*x^5+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315171 4.76945 [(x^10+4*x^9+4*x^7+4*x^5+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315172 4.64227 [(x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315172 5.48299 [(x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315173 5.57072 [(x^8+4*x^7+4*x^5+4*x^3+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315173 7.17876 [(x^8+4*x^7+4*x^5+4*x^3+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315175 4.96633 [(x^8+5*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315175 6.42433 [(x^8+5*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315177 3.35049 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315177 4.79625 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315178 6.93319 [(x^6+4*x^5+4*x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315178 7.21909 [(x^6+4*x^5+4*x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315182 3.93400 [(x^12+4*x^11+4*x^9+5*x^7+5*x^5+4*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315182 4.29603 [(x^12+4*x^11+4*x^9+5*x^7+5*x^5+4*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315183 3.35049 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315183 4.79625 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315184 3.66624 [(x^14+6*x^13+9*x^12+8*x^11+9*x^10+16*x^9+17*x^8+22*x^7+17*x^6+16*x^5+9*x^4+8*x^3+9*x^2+6*x+1)/(x^2+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A315185 4.69968 [(x^8+4*x^7-x^6+x^5+4*x^4+x^3-x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315185 6.19692 [(x^8+4*x^7-x^6+x^5+4*x^4+x^3-x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315186 3.35049 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315186 4.79625 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315187 6.46022 [(x^6+5*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315187 7.57166 [(x^6+5*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315188 3.36921 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315188 4.82304 [(x^12+5*x^11+4*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315191 3.80629 [(x^12+6*x^11+10*x^10+14*x^9+18*x^8+26*x^7+26*x^6+26*x^5+18*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315191 4.69443 [(x^12+6*x^11+10*x^10+14*x^9+18*x^8+26*x^7+26*x^6+26*x^5+18*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315192 3.43495 [(x^14+6*x^13+10*x^12+14*x^11+19*x^10+23*x^9+28*x^8+32*x^7+27*x^6+22*x^5+19*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315192 4.14214 [(x^14+6*x^13+10*x^12+14*x^11+19*x^10+23*x^9+28*x^8+32*x^7+27*x^6+22*x^5+19*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315194 3.38286 [(x^2+1)*(x^10+5*x^9+3*x^8-x^7+2*x^6+6*x^5+2*x^4-x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315194 4.79625 [(x^2+1)*(x^10+5*x^9+3*x^8-x^7+2*x^6+6*x^5+2*x^4-x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315195 4.21655 [(x^10+4*x^9+4*x^7+x^6+4*x^5+x^4+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315195 4.34669 [(x^10+4*x^9+4*x^7+x^6+4*x^5+x^4+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315196 4.72593 [(x^8+4*x^7+x^6+8*x^5+x^4+8*x^3+x^2+4*x+1)/(x^2-x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A315196 4.8563 [(x^8+4*x^7+x^6+8*x^5+x^4+8*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315198 4.69443 [(x^10+5*x^9+4*x^8+4*x^7+5*x^6+6*x^5+5*x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315198 5.54460 [(x^10+5*x^9+4*x^8+4*x^7+5*x^6+6*x^5+5*x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315201 3.82744 [(x^12+6*x^11+10*x^10+14*x^9+20*x^8+22*x^7+34*x^6+22*x^5+20*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315201 4.72051 [(x^12+6*x^11+10*x^10+14*x^9+20*x^8+22*x^7+34*x^6+22*x^5+20*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315202 3.44952 [(x^10+3*x^9-3*x^8+7*x^7-5*x^6+7*x^5-5*x^4+7*x^3-3*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315202 4.79625 [(x^10+3*x^9-3*x^8+7*x^7-5*x^6+7*x^5-5*x^4+7*x^3-3*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315203 4.21655 [(x^10+4*x^9+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315203 4.34669 [(x^10+4*x^9+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315204 4.99407 [(x^2+1)*(x^6+5*x^5+3*x^4-x^3+3*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315204 6.46022 [(x^2+1)*(x^6+5*x^5+3*x^4-x^3+3*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315207 4.8563 [(x^8+3*x^7-3*x^6+7*x^5-5*x^4+7*x^3-3*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315207 5.54460 [(x^8+3*x^7-3*x^6+7*x^5-5*x^4+7*x^3-3*x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315208 3.40176 [(x^2+1)*(x^10+5*x^9+3*x^8-x^7+3*x^6+5*x^5+3*x^4-x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315208 4.82304 [(x^2+1)*(x^10+5*x^9+3*x^8-x^7+3*x^6+5*x^5+3*x^4-x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315210 3.36921 [(x^12+5*x^11+4*x^10+4*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315210 4.82304 [(x^12+5*x^11+4*x^10+4*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315211 10.8935 [(x^4+4*x^3+4*x+1)/(x^2+1)/(x-1)^2 ogf] A315211 5.16844 [(f(x)+1)*(f(x)*x^4-2*f(x)*x^3-x^4+2*f(x)*x^2-4*x^3-2*f(x)*x+f(x)-4*x-1) ogf] A315211 9.19579 [(x^4+4*x^3+4*x+1)/(x^2+1)/(x-1)^2 ogf] A315212 3.38792 [(x^12+5*x^11+4*x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315212 4.84984 [(x^12+5*x^11+4*x^10+4*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+4*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315213 4.75219 [(x^10+6*x^9+10*x^8+14*x^7+20*x^6+24*x^5+20*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315213 5.44674 [(x^10+6*x^9+10*x^8+14*x^7+20*x^6+24*x^5+20*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315214 4.72051 [(x^10+5*x^9+4*x^8+4*x^7+6*x^6+6*x^5+6*x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315214 5.57540 [(x^10+5*x^9+4*x^8+4*x^7+6*x^6+6*x^5+6*x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315215 4.23998 [(x^10+4*x^9+4*x^7+2*x^6+4*x^5+2*x^4+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315215 4.37084 [(x^10+4*x^9+4*x^7+2*x^6+4*x^5+2*x^4+4*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315216 3.43956 [(x^10+5*x^9+3*x^8-x^7+3*x^6+7*x^5+3*x^4-x^3+3*x^2+5*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315216 4.87663 [(x^10+5*x^9+3*x^8-x^7+3*x^6+7*x^5+3*x^4-x^3+3*x^2+5*x+1)*(x^2+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315217 3.43956 [-(x^19+x^18+x^17-x^15-x^14-x^13-x^10-7*x^9-11*x^8-16*x^7-21*x^6-25*x^5-20*x^4-14*x^3-10*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315218 3.82744 [(x^12+6*x^11+11*x^10+20*x^9+30*x^8+40*x^7+36*x^6+40*x^5+30*x^4+20*x^3+11*x^2+6*x+1)/(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315218 4.04615 [(x^12+6*x^11+11*x^10+20*x^9+30*x^8+40*x^7+36*x^6+40*x^5+30*x^4+20*x^3+11*x^2+6*x+1)/(x^2+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315220 4.02316 [-(2*x^13-2*x^11-x^10-6*x^9-11*x^8-6*x^7-12*x^6-14*x^5-10*x^4-8*x^3-9*x^2-6*x-1)/(x^2+1)/(x^4+1)/(x-1)^2/(x+1)^2 ogf] A315220 4.62795 [-(2*x^13-2*x^11-x^10-6*x^9-11*x^8-6*x^7-12*x^6-14*x^5-10*x^4-8*x^3-9*x^2-6*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A315227 3.45403 [(x^14+6*x^13+10*x^12+14*x^11+22*x^10+20*x^9+30*x^8+34*x^7+30*x^6+20*x^5+22*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315227 4.16515 [(x^14+6*x^13+10*x^12+14*x^11+22*x^10+20*x^9+30*x^8+34*x^7+30*x^6+20*x^5+22*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315229 3.97833 [(x^12+6*x^11+10*x^10+14*x^9+21*x^8+16*x^7+18*x^6+16*x^5+21*x^4+14*x^3+10*x^2+6*x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315229 4.45673 [(x^12+6*x^11+10*x^10+14*x^9+21*x^8+16*x^7+18*x^6+16*x^5+21*x^4+14*x^3+10*x^2+6*x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315235 4.00043 [(x^12+6*x^11+10*x^10+14*x^9+21*x^8+20*x^7+21*x^6+20*x^5+21*x^4+14*x^3+10*x^2+6*x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315235 4.48149 [(x^12+6*x^11+10*x^10+14*x^9+21*x^8+20*x^7+21*x^6+20*x^5+21*x^4+14*x^3+10*x^2+6*x+1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315237 5.8039 [(x^8+6*x^7+10*x^6+14*x^5+22*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315237 6.43705 [(x^8+6*x^7+10*x^6+14*x^5+22*x^4+14*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315240 3.43495 [(x^14+6*x^13+10*x^12+15*x^11+18*x^10+23*x^9+28*x^8+32*x^7+27*x^6+23*x^5+17*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315240 4.14214 [(x^14+6*x^13+10*x^12+15*x^11+18*x^10+23*x^9+28*x^8+32*x^7+27*x^6+23*x^5+17*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315241 3.43495 [(x^14+6*x^13+10*x^12+15*x^11+18*x^10+23*x^9+27*x^8+32*x^7+27*x^6+24*x^5+17*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315241 4.14214 [(x^14+6*x^13+10*x^12+15*x^11+18*x^10+23*x^9+27*x^8+32*x^7+27*x^6+24*x^5+17*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315242 4.96633 [(x^12+4*x^11+5*x^9-x^8+11*x^7-2*x^6+11*x^5-x^4+5*x^3+4*x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A315243 3.45625 [-(2*x^19-2*x^18+2*x^16-2*x^15+2*x^14-4*x^13+2*x^12+2*x^11-4*x^10+2*x^9-3*x^8-2*x^7+x^6-4*x^5-2*x^4-2*x^3+x^2-4*x-1)/(x^6+x^3+1)/(x-1)^2 ogf] A315244 3.76558 [(x^12+4*x^11+5*x^9-x^8+6*x^7-x^6+6*x^5-x^4+5*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315245 3.70613 [(x^2+x+1)*(x^2-x+1)*(x^8+5*x^7+3*x^6+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315245 4.82304 [(x^2+x+1)*(x^2-x+1)*(x^8+5*x^7+3*x^6+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315246 4.04615 [(x^10+3*x^9-4*x^8+6*x^7-3*x^6+4*x^5-3*x^4+6*x^3-4*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315246 4.26552 [(x^10+3*x^9-4*x^8+6*x^7-3*x^6+4*x^5-3*x^4+6*x^3-4*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315247 6.49611 [(x^6+5*x^5+4*x^4+5*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315247 7.61372 [(x^6+5*x^5+4*x^4+5*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315248 4.75219 [(x^10+6*x^9+10*x^8+15*x^7+19*x^6+24*x^5+19*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315248 5.44674 [(x^10+6*x^9+10*x^8+15*x^7+19*x^6+24*x^5+19*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315253 4.93135 [(x^10+5*x^9+4*x^8+4*x^7+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315253 5.18705 [(x^10+5*x^9+4*x^8+4*x^7+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315254 3.66624 [(x^2+1)*(x^10+5*x^9+3*x^8+2*x^6+4*x^5+2*x^4+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315254 4.79625 [(x^2+1)*(x^10+5*x^9+3*x^8+2*x^6+4*x^5+2*x^4+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315255 4.66334 [(x^10+4*x^9+5*x^7+4*x^5+5*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315255 4.82304 [(x^10+4*x^9+5*x^7+4*x^5+5*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315256 4.69443 [(x^10+5*x^9+4*x^8+5*x^7+5*x^6+4*x^5+5*x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315256 5.54460 [(x^10+5*x^9+4*x^8+5*x^7+5*x^6+4*x^5+5*x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315257 7.01065 [(x^6+4*x^5+5*x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315257 7.29975 [(x^6+4*x^5+5*x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315258 4.69443 [(x^10+5*x^9+4*x^8+4*x^7+x^5+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315258 4.92422 [(x^10+5*x^9+4*x^8+4*x^7+x^5+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315259 5.66461 [(x^8+4*x^7+5*x^5+5*x^3+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315259 7.29975 [(x^8+4*x^7+5*x^5+5*x^3+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315260 3.97796 [(x^12+4*x^11+5*x^9+5*x^7+5*x^5+5*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315260 4.34403 [(x^12+4*x^11+5*x^9+5*x^7+5*x^5+5*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315261 3.38792 [(x^12+5*x^11+4*x^10+5*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+5*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315261 4.84984 [(x^12+5*x^11+4*x^10+5*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+5*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315264 3.70721 [(x^2+1)*(x^10+5*x^9+3*x^8+2*x^6+6*x^5+2*x^4+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315264 4.84984 [(x^2+1)*(x^10+5*x^9+3*x^8+2*x^6+6*x^5+2*x^4+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315265 4.72051 [(x^10+5*x^9+4*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315265 5.57540 [(x^10+5*x^9+4*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315266 4.1408 [(x^12+4*x^11+5*x^9+6*x^7-x^6+6*x^5+5*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315267 4.77844 [(x^8+4*x^7-x^6+2*x^5+4*x^4+2*x^3-x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315267 6.30078 [(x^8+4*x^7-x^6+2*x^5+4*x^4+2*x^3-x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315270 6.05193 [(x^6+3*x^5-4*x^4+5*x^3-4*x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315270 6.49611 [(x^6+3*x^5-4*x^4+5*x^3-4*x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315271 4.45674 [(x^10+5*x^9+4*x^8+4*x^7+x^6+x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315271 4.66334 [(x^10+5*x^9+4*x^8+4*x^7+x^6+x^4+4*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315272 3.38792 [(x^12+5*x^11+4*x^10+5*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+5*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315272 4.84984 [(x^12+5*x^11+4*x^10+5*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+5*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315273 5.32388 [(x^2+1)*(x^6+5*x^5+3*x^4+3*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315273 6.49611 [(x^2+1)*(x^6+5*x^5+3*x^4+3*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315274 6.05193 [(x^6+5*x^5+5*x^4+9*x^3+5*x^2+5*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A315274 6.49611 [(x^6+5*x^5+5*x^4+9*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A315275 4.23998 [(x^10+4*x^9+5*x^7+x^6+4*x^5+x^4+5*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315275 4.37084 [(x^10+4*x^9+5*x^7+x^6+4*x^5+x^4+5*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315276 3.5959 [-(x^23-x^15-x^12-8*x^11-9*x^10-15*x^9-14*x^8-17*x^7-18*x^6-16*x^5-15*x^4-14*x^3-10*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315276 4.06850 [-(x^23-x^15-x^12-8*x^11-9*x^10-15*x^9-14*x^8-17*x^7-18*x^6-16*x^5-15*x^4-14*x^3-10*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315277 3.40664 [(x^12+5*x^11+4*x^10+5*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+5*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315277 4.87663 [(x^12+5*x^11+4*x^10+5*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+5*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315284 4.09189 [(x^14+4*x^13-x^12+x^11+2*x^10-2*x^9+6*x^7-2*x^5+2*x^4+x^3-x^2+4*x+1)/(x^6+x^3+1)/(x^6-x^3+1)/(x-1)^2 ogf] A315286 3.45403 [(x^14+6*x^13+10*x^12+15*x^11+23*x^10+25*x^9+32*x^8+36*x^7+32*x^6+25*x^5+23*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315286 4.16515 [(x^14+6*x^13+10*x^12+15*x^11+23*x^10+25*x^9+32*x^8+36*x^7+32*x^6+25*x^5+23*x^4+15*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315293 4.02253 [-(2*x^16-2*x^14+x^12-8*x^11-8*x^10-6*x^9-x^8-12*x^7-18*x^6-12*x^5-x^4-4*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A315294 3.45403 [(x^14+6*x^13+10*x^12+16*x^11+18*x^10+28*x^9+27*x^8+40*x^7+27*x^6+28*x^5+18*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315294 4.16515 [(x^14+6*x^13+10*x^12+16*x^11+18*x^10+28*x^9+27*x^8+40*x^7+27*x^6+28*x^5+18*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315300 4.23802 [-(2*x^16+2*x^14-x^12-8*x^11-12*x^10-20*x^9-21*x^8-30*x^7-30*x^6-28*x^5-19*x^4-16*x^3-10*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315301 4.75219 [(x^10+6*x^9+10*x^8+16*x^7+19*x^6+28*x^5+19*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315301 5.44674 [(x^10+6*x^9+10*x^8+16*x^7+19*x^6+28*x^5+19*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315302 3.35049 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315302 4.79625 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315303 4.21655 [(x^10+4*x^9+6*x^7-2*x^6+6*x^5-2*x^4+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315303 4.34669 [(x^10+4*x^9+6*x^7-2*x^6+6*x^5-2*x^4+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315304 4.69443 [(x^10+5*x^9+4*x^8+6*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315304 5.54460 [(x^10+5*x^9+4*x^8+6*x^7+4*x^6+4*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315305 3.36921 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315305 4.82304 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315306 6.49611 [(x^6+4*x^5-x^4+2*x^3-x^2+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315306 7.95591 [(x^6+4*x^5-x^4+2*x^3-x^2+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315307 3.38792 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315307 4.84984 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315308 4.72051 [(x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315308 5.57540 [(x^10+5*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315309 5.02182 [(x^8+5*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315309 6.49611 [(x^8+5*x^7+4*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315310 3.7865 [(x^12+4*x^11+6*x^9-2*x^8+8*x^7-3*x^6+8*x^5-2*x^4+6*x^3+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315311 6.49611 [(x^6+5*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315311 7.61372 [(x^6+5*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315312 3.40664 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315312 4.87663 [(x^12+5*x^11+4*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315315 6.0185 [(x^8+5*x^7+3*x^6-3*x^4+3*x^2+5*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315315 6.01850 [(x^8+5*x^7+3*x^6-3*x^4+3*x^2+5*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315316 3.38792 [(x^12+5*x^11+4*x^10+6*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315316 4.84984 [(x^12+5*x^11+4*x^10+6*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315317 4.68925 [(x^8+5*x^7+5*x^6+10*x^5+5*x^4+10*x^3+5*x^2+5*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315317 5.40516 [(x^8+5*x^7+5*x^6+10*x^5+5*x^4+10*x^3+5*x^2+5*x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315318 4.72051 [(x^10+5*x^9+4*x^8+5*x^7+x^5+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315318 4.95158 [(x^10+5*x^9+4*x^8+5*x^7+x^5+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315319 4.23998 [(x^10+4*x^9+6*x^7-x^6+6*x^5-x^4+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315319 4.37084 [(x^10+4*x^9+6*x^7-x^6+6*x^5-x^4+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315320 5.35329 [(x^2+x+1)*(x^6+3*x^5-4*x^4+7*x^3-4*x^2+3*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315320 5.69591 [(x^2+x+1)*(x^6+3*x^5-4*x^4+7*x^3-4*x^2+3*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315321 3.40664 [(x^12+5*x^11+4*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315321 4.87663 [(x^12+5*x^11+4*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315322 4.74659 [(x^10+5*x^9+4*x^8+5*x^7+2*x^5+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315322 4.97894 [(x^10+5*x^9+4*x^8+5*x^7+2*x^5+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315326 3.38792 [(x^12+5*x^11+4*x^10+6*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315326 4.84984 [(x^12+5*x^11+4*x^10+6*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315327 4.00043 [(x^2+1)*(x^8+4*x^7-x^6+2*x^5+x^4+2*x^3-x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315327 4.68925 [(x^2+1)*(x^8+4*x^7-x^6+2*x^5+x^4+2*x^3-x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315329 3.43956 [(x^2+1)*(x^10+5*x^9+3*x^8+x^7+3*x^6+3*x^5+3*x^4+x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315329 4.87663 [(x^2+1)*(x^10+5*x^9+3*x^8+x^7+3*x^6+3*x^5+3*x^4+x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315331 4.31265 [-(2*x^11-2*x^9-x^8-6*x^7-11*x^6-10*x^5-12*x^4-10*x^3-9*x^2-6*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A315331 5.34254 [-(2*x^11-2*x^9-x^8-6*x^7-11*x^6-10*x^5-12*x^4-10*x^3-9*x^2-6*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A315332 3.47311 [(x^14+6*x^13+10*x^12+16*x^11+22*x^10+27*x^9+31*x^8+36*x^7+31*x^6+27*x^5+22*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315332 4.18816 [(x^14+6*x^13+10*x^12+16*x^11+22*x^10+27*x^9+31*x^8+36*x^7+31*x^6+27*x^5+22*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315333 4.71515 [(x^10+4*x^9+6*x^7+5*x^5+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315333 4.87663 [(x^10+4*x^9+6*x^7+5*x^5+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315334 3.39042 [(x^2+1)*(x^2+x+1)*(x^8+4*x^7-2*x^6-x^5+6*x^4-x^3-2*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315334 4.87663 [(x^2+1)*(x^2+x+1)*(x^8+4*x^7-2*x^6-x^5+6*x^4-x^3-2*x^2+4*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315335 4.28909 [(x^10+5*x^9+4*x^8+5*x^7+x^6+x^5+x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315335 4.47791 [(x^10+5*x^9+4*x^8+5*x^7+x^6+x^5+x^4+5*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315337 4.94436 [(x^8+5*x^7+5*x^6+11*x^5+10*x^4+11*x^3+5*x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315339 5.04956 [(x^2+1)*(x^6+5*x^5+3*x^4+x^3+3*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315339 6.53200 [(x^2+1)*(x^6+5*x^5+3*x^4+x^3+3*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315340 3.40664 [(x^12+5*x^11+4*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315340 4.87663 [(x^12+5*x^11+4*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315341 4.55987 [-(2*x^12-3*x^8-8*x^7-9*x^6-12*x^5-12*x^4-10*x^3-9*x^2-6*x-1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A315341 5.72720 [-(2*x^12-3*x^8-8*x^7-9*x^6-12*x^5-12*x^4-10*x^3-9*x^2-6*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A315342 5.69590 [(x^8+4*x^7+6*x^5+6*x^3+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315342 7.34008 [(x^8+4*x^7+6*x^5+6*x^3+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315343 4.77267 [(x^10+5*x^9+4*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315343 5.63701 [(x^10+5*x^9+4*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+4*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315344 4.74106 [(x^10+4*x^9+6*x^7+6*x^5+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315344 4.90343 [(x^10+4*x^9+6*x^7+6*x^5+6*x^3+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315345 3.45846 [(x^2+1)*(x^10+5*x^9+3*x^8+x^7+3*x^6+5*x^5+3*x^4+x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315345 4.90342 [(x^2+1)*(x^10+5*x^9+3*x^8+x^7+3*x^6+5*x^5+3*x^4+x^3+3*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315348 5.30296 [-(2*x^10-x^8-8*x^7-12*x^6-18*x^5-20*x^4-16*x^3-10*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315348 6.01597 [-(2*x^10-x^8-8*x^7-12*x^6-18*x^5-20*x^4-16*x^3-10*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315351 3.31157 [(x^2+x+1)*(x^10+5*x^9+4*x^8+8*x^7+9*x^6+10*x^5+9*x^4+8*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315351 4.50625 [(x^2+x+1)*(x^10+5*x^9+4*x^8+8*x^7+9*x^6+10*x^5+9*x^4+8*x^3+4*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315360 3.86973 [(x^12+6*x^11+10*x^10+18*x^9+21*x^8+26*x^7+34*x^6+26*x^5+21*x^4+18*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315360 4.77267 [(x^12+6*x^11+10*x^10+18*x^9+21*x^8+26*x^7+34*x^6+26*x^5+21*x^4+18*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315361 7.45729 [(x^6+6*x^5+10*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315361 7.78152 [(x^6+6*x^5+10*x^4+16*x^3+10*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315365 3.86973 [(x^12+6*x^11+10*x^10+18*x^9+24*x^8+26*x^7+34*x^6+26*x^5+24*x^4+18*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315365 4.77267 [(x^12+6*x^11+10*x^10+18*x^9+24*x^8+26*x^7+34*x^6+26*x^5+24*x^4+18*x^3+10*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315367 3.72574 [(x^12+4*x^11+2*x^10+5*x^9+4*x^8+6*x^7+10*x^6+6*x^5+4*x^4+5*x^3+2*x^2+4*x+1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315367 4.14214 [(x^12+4*x^11+2*x^10+5*x^9+4*x^8+6*x^7+10*x^6+6*x^5+4*x^4+5*x^3+2*x^2+4*x+1)*(x+1)^2/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315369 3.43495 [(x^14+6*x^13+11*x^12+13*x^11+17*x^10+19*x^9+28*x^8+32*x^7+28*x^6+19*x^5+17*x^4+13*x^3+11*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315369 4.14214 [(x^14+6*x^13+11*x^12+13*x^11+17*x^10+19*x^9+28*x^8+32*x^7+28*x^6+19*x^5+17*x^4+13*x^3+11*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315370 3.70827 [-(x^14-x^13+x^12-2*x^10-5*x^9-5*x^8-5*x^7-10*x^6-11*x^5-11*x^4-3*x^3-5*x^2-5*x-1)/(x^2+x+1)/(x+1)^2/(x-1)^2/(x^2-x+1)^2 ogf] A315371 3.43495 [(x^14+6*x^13+11*x^12+14*x^11+19*x^10+21*x^9+28*x^8+32*x^7+28*x^6+21*x^5+20*x^4+13*x^3+11*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315371 4.14214 [(x^14+6*x^13+11*x^12+14*x^11+19*x^10+21*x^9+28*x^8+32*x^7+28*x^6+21*x^5+20*x^4+13*x^3+11*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315372 3.97871 [(x^14+4*x^13+2*x^12+5*x^11+8*x^10+2*x^9+13*x^8+6*x^7+13*x^6+2*x^5+8*x^4+5*x^3+2*x^2+4*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315373 4.75219 [(x^10+6*x^9+11*x^8+13*x^7+20*x^6+24*x^5+20*x^4+13*x^3+11*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315373 5.44674 [(x^10+6*x^9+11*x^8+13*x^7+20*x^6+24*x^5+20*x^4+13*x^3+11*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315384 5.48896 [-(x^9-x^7-x^6-6*x^5-5*x^4-3*x^3-5*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315384 6.49611 [-(x^9-x^7-x^6-6*x^5-5*x^4-3*x^3-5*x^2-5*x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315393 3.95623 [(x^14+4*x^13+2*x^12+7*x^11+2*x^10+10*x^9+4*x^8+15*x^7+4*x^6+10*x^5+2*x^4+7*x^3+2*x^2+4*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315394 4.4888 [(x^12+4*x^11+x^10+3*x^9+x^8+7*x^7+4*x^6+7*x^5+x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A315395 3.97909 [(x^10+3*x^9-3*x^8+3*x^7+x^6-x^5+x^4+3*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315395 4.19482 [(x^10+3*x^9-3*x^8+3*x^7+x^6-x^5+x^4+3*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315396 3.35049 [(x^12+5*x^11+5*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315396 4.79625 [(x^12+5*x^11+5*x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315397 3.934 [(x^10+4*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315398 5.98506 [(x^8+4*x^7+4*x^4+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315398 8.64509 [(x^8+4*x^7+4*x^4+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315399 4.69968 [(x^8+4*x^7+x^6+3*x^5+x^4+3*x^3+x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315399 5.78721 [(x^8+4*x^7+x^6+3*x^5+x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315400 4.54709 [(x^10+4*x^9-x^7+x^6+4*x^5+x^4-x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315400 4.63743 [(x^10+4*x^9-x^7+x^6+4*x^5+x^4-x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315401 4.99407 [(x^8+5*x^7+5*x^6+4*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315401 6.46022 [(x^8+5*x^7+5*x^6+4*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315402 3.95598 [(x^10+4*x^9+x^8+3*x^7+x^6+4*x^5+x^4+3*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315403 3.45178 [(x^12+4*x^11+x^10+3*x^9+x^8+4*x^7+x^6+4*x^5+x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315404 3.36921 [(x^12+5*x^11+5*x^10+4*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315404 4.82304 [(x^12+5*x^11+5*x^10+4*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315405 4.88328 [(f(x)+8)*(f(x)*x^4-3*f(x)*x^3-x^4+4*f(x)*x^2-3*x^3-3*f(x)*x+3*x^2+f(x)-3*x-1) ogf] A315405 8.33031 [(x^4+3*x^3-3*x^2+3*x+1)/(x-1)^2/(x^2-x+1) ogf] A315405 9.19579 [(x^4+3*x^3-3*x^2+3*x+1)/(x^2-x+1)/(x-1)^2 ogf] A315406 3.38792 [(x^12+5*x^11+5*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315406 4.84984 [(x^12+5*x^11+5*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315409 3.45178 [(x^12+4*x^11+x^10+3*x^9+2*x^8+3*x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315410 3.36921 [(x^12+5*x^11+5*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315410 4.82304 [(x^12+5*x^11+5*x^10+4*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315411 4.75219 [(x^8+4*x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315411 5.85187 [(x^8+4*x^7+x^6+3*x^5+2*x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315412 3.97796 [(x^10+4*x^9+x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315413 4.04615 [(x^10+3*x^9-3*x^8+3*x^7+2*x^6-2*x^5+2*x^4+3*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315413 4.26552 [(x^10+3*x^9-3*x^8+3*x^7+2*x^6-2*x^5+2*x^4+3*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315414 3.43726 [(x^2-x+1)*(x^8+4*x^7+x^6+2*x^5-2*x^4+2*x^3+x^2+4*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315414 4.84984 [(x^2-x+1)*(x^8+4*x^7+x^6+2*x^5-2*x^4+2*x^3+x^2+4*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315415 3.47096 [(x^12+4*x^11+x^10+3*x^9+2*x^8+3*x^7+3*x^6+3*x^5+2*x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315416 4.72051 [(x^10+5*x^9+5*x^8+4*x^7+5*x^6+6*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315416 5.57540 [(x^10+5*x^9+5*x^8+4*x^7+5*x^6+6*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315417 4.75219 [(x^8+4*x^7+2*x^6+7*x^5+3*x^4+7*x^3+2*x^2+4*x+1)/(x^2-x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A315417 4.88328 [(x^8+4*x^7+2*x^6+7*x^5+3*x^4+7*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315418 6.49611 [(x^6+5*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315418 7.61372 [(x^6+5*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315419 4.84346 [(x^10+4*x^9+2*x^8+7*x^7+4*x^6+11*x^5+4*x^4+7*x^3+2*x^2+4*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315420 3.40664 [(x^12+5*x^11+5*x^10+4*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315420 4.87663 [(x^12+5*x^11+5*x^10+4*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315421 3.49014 [(x^12+4*x^11+x^10+3*x^9+2*x^8+4*x^7+2*x^6+4*x^5+2*x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315423 5.16844 [(x^6+3*x^5-2*x^4+5*x^3-2*x^2+3*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315423 6.49611 [(x^6+3*x^5-2*x^4+5*x^3-2*x^2+3*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315424 4.16367 [-(x^11-x^10+x^9-x^8-x^7-6*x^6-4*x^5-6*x^4-4*x^3-5*x^2-5*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315424 5.27399 [-(x^11-x^10+x^9-x^8-x^7-6*x^6-4*x^5-6*x^4-4*x^3-5*x^2-5*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315425 3.47096 [(x^12+4*x^11+x^10+3*x^9+3*x^8+2*x^7+3*x^6+2*x^5+3*x^4+3*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315426 3.40664 [(x^12+5*x^11+5*x^10+4*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315426 4.87663 [(x^12+5*x^11+5*x^10+4*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+4*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315427 6.08537 [(x^6+2*x^5-5*x^4+8*x^3-5*x^2+2*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A315427 6.532 [(x^6+2*x^5-5*x^4+8*x^3-5*x^2+2*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A315428 3.72865 [-(x^14-x^13+x^12-2*x^10-5*x^9-5*x^8-7*x^7-10*x^6-11*x^5-11*x^4-5*x^3-5*x^2-5*x-1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A315429 3.7679 [-(x^14-x^13+x^12-x^11-x^10-6*x^9-3*x^8-7*x^7-4*x^6-8*x^5-6*x^4-4*x^3-5*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315429 4.39202 [-(x^14-x^13+x^12-x^11-x^10-6*x^9-3*x^8-7*x^7-4*x^6-8*x^5-6*x^4-4*x^3-5*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315430 3.47311 [(x^14+6*x^13+11*x^12+15*x^11+22*x^10+26*x^9+32*x^8+36*x^7+32*x^6+26*x^5+22*x^4+15*x^3+11*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315430 4.18816 [(x^14+6*x^13+11*x^12+15*x^11+22*x^10+26*x^9+32*x^8+36*x^7+32*x^6+26*x^5+22*x^4+15*x^3+11*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315432 3.40664 [(x^2-x+1)*(x^8+5*x^7+6*x^6+8*x^5+8*x^4+8*x^3+6*x^2+5*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315432 4.50625 [(x^2-x+1)*(x^8+5*x^7+6*x^6+8*x^5+8*x^4+8*x^3+6*x^2+5*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315435 3.93352 [(x^14+4*x^13+x^12+3*x^11+5*x^10+7*x^8+3*x^7+7*x^6+5*x^4+3*x^3+x^2+4*x+1)/(x^4+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A315441 4.02191 [(x^14+6*x^13+11*x^12+16*x^11+19*x^10+28*x^9+30*x^8+30*x^7+30*x^6+28*x^5+19*x^4+16*x^3+11*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315444 3.35049 [(x^12+5*x^11+5*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315444 4.79625 [(x^12+5*x^11+5*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315445 4.21655 [(x^10+4*x^9+x^8+4*x^7+4*x^5+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315445 4.34669 [(x^10+4*x^9+x^8+4*x^7+4*x^5+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315446 4.69443 [(x^10+5*x^9+5*x^8+5*x^7+4*x^6+4*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315446 5.54460 [(x^10+5*x^9+5*x^8+5*x^7+4*x^6+4*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315447 10.8935 [(x^6+4*x^5+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315447 8.33031 [(x^6+4*x^5+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315449 4.00043 [(x^12+6*x^11+9*x^10+4*x^9+x^8+10*x^7+22*x^6+10*x^5+x^4+4*x^3+9*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A315449 4.56823 [(x^12+6*x^11+9*x^10+4*x^9+x^8+10*x^7+22*x^6+10*x^5+x^4+4*x^3+9*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A315450 3.36921 [(x^12+5*x^11+5*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315450 4.82304 [(x^12+5*x^11+5*x^10+5*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315451 3.76636 [(x^2+x+1)*(x^12+5*x^11+4*x^10+x^9+5*x^8+9*x^7+5*x^6+9*x^5+5*x^4+x^3+4*x^2+5*x+1)/(x^2+1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A315452 5.02182 [(x^8+5*x^7+5*x^6+5*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315452 6.49611 [(x^8+5*x^7+5*x^6+5*x^5+4*x^4+5*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315453 3.76636 [(x^12+4*x^11+x^10+4*x^9+5*x^7+x^6+5*x^5+4*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315454 3.47311 [(x^2-x+1)*(x^10+6*x^9+10*x^8+9*x^7+3*x^6+3*x^4+9*x^3+10*x^2+6*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315454 4.87663 [(x^2-x+1)*(x^10+6*x^9+10*x^8+9*x^7+3*x^6+3*x^4+9*x^3+10*x^2+6*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315455 5.83597 [(x^10+4*x^9+6*x^5+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315455 5.98309 [(x^10+4*x^9+6*x^5+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315459 4.69443 [(x^10+5*x^9+5*x^8+4*x^7-x^5+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315459 4.92422 [(x^10+5*x^9+5*x^8+4*x^7-x^5+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315460 3.36921 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315460 4.82304 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315461 6.05193 [(x^6+3*x^5-3*x^4+3*x^3-3*x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315461 6.49611 [(x^6+3*x^5-3*x^4+3*x^3-3*x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315462 5.10264 [(x^10+4*x^9+x^6+3*x^5+x^4+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315462 5.21603 [(x^10+4*x^9+x^6+3*x^5+x^4+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315463 4.72051 [(x^10+5*x^9+5*x^8+5*x^7+5*x^6+4*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315463 5.57540 [(x^10+5*x^9+5*x^8+5*x^7+5*x^6+4*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315464 3.48806 [(x^10+3*x^9-2*x^8+6*x^7-5*x^6+8*x^5-5*x^4+6*x^3-2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315464 4.84984 [(x^10+3*x^9-2*x^8+6*x^7-5*x^6+8*x^5-5*x^4+6*x^3-2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315465 7.91196 [(x^8+4*x^7+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315465 8.28428 [(x^8+4*x^7+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315466 3.38792 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315466 4.84984 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315467 3.47096 [(x^12+4*x^11+x^10+4*x^9+x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315468 3.97796 [(x^10+4*x^9+x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315469 4.77844 [(x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315469 5.8842 [(x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315470 3.40664 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315470 4.87663 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315471 6.08537 [(x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315471 6.30078 [(x^6+4*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315474 4.72051 [(x^10+5*x^9+5*x^8+4*x^7+x^5+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315474 4.95158 [(x^10+5*x^9+5*x^8+4*x^7+x^5+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315475 5.35329 [(x^8+4*x^7+x^5+4*x^4+x^3+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315475 7.34008 [(x^8+4*x^7+x^5+4*x^4+x^3+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315476 3.63259 [(x^12+4*x^11+x^10+4*x^9+x^8+5*x^7+5*x^5+x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315477 6.532 [(x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315477 7.65578 [(x^6+5*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315478 3.40664 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315478 4.87663 [(x^12+5*x^11+5*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315479 4.47791 [(x^10+3*x^9-3*x^8+4*x^7+x^5+4*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315479 4.74659 [(x^10+3*x^9-3*x^8+4*x^7+x^5+4*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315481 3.97796 [(x^10+4*x^9+x^8+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315482 4.26552 [(x^10+5*x^9+5*x^8+4*x^7+x^6-x^5+x^4+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315482 4.45331 [(x^10+5*x^9+5*x^8+4*x^7+x^6-x^5+x^4+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315484 3.86973 [(x^12+6*x^11+11*x^10+16*x^9+22*x^8+26*x^7+34*x^6+26*x^5+22*x^4+16*x^3+11*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315484 4.77267 [(x^12+6*x^11+11*x^10+16*x^9+22*x^8+26*x^7+34*x^6+26*x^5+22*x^4+16*x^3+11*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315485 3.47096 [(x^12+4*x^11+x^10+4*x^9+2*x^8+3*x^7+x^6+3*x^5+2*x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315486 3.72769 [(x^2+1)*(x^10+5*x^9+4*x^8+2*x^6+5*x^5+2*x^4+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315486 4.87663 [(x^2+1)*(x^10+5*x^9+4*x^8+2*x^6+5*x^5+2*x^4+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315487 3.13651 [(x^2+1)*(x^12+5*x^11+4*x^10+2*x^8+5*x^7+2*x^6+5*x^5+2*x^4+4*x^2+5*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315487 4.31508 [(x^2+1)*(x^12+5*x^11+4*x^10+2*x^8+5*x^7+2*x^6+5*x^5+2*x^4+4*x^2+5*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315488 4.50625 [(x^10+5*x^9+5*x^8+4*x^7+x^6+x^4+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315488 4.71515 [(x^10+5*x^9+5*x^8+4*x^7+x^6+x^4+4*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315489 3.99993 [(x^10+4*x^9+x^8+4*x^7+2*x^6+3*x^5+2*x^4+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315490 5.04956 [(x^8+5*x^7+5*x^6+5*x^5+6*x^4+5*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315490 6.53200 [(x^8+5*x^7+5*x^6+5*x^5+6*x^4+5*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315491 3.50733 [(x^10+3*x^9-2*x^8+6*x^7-4*x^6+7*x^5-4*x^4+6*x^3-2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315491 4.87663 [(x^10+3*x^9-2*x^8+6*x^7-4*x^6+7*x^5-4*x^4+6*x^3-2*x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315492 3.72769 [(x^2+1)*(x^10+5*x^9+4*x^8+2*x^6+6*x^5+2*x^4+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315492 4.87663 [(x^2+1)*(x^10+5*x^9+4*x^8+2*x^6+6*x^5+2*x^4+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315495 4.77267 [(x^10+5*x^9+5*x^8+5*x^7+6*x^6+6*x^5+6*x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315495 5.63701 [(x^10+5*x^9+5*x^8+5*x^7+6*x^6+6*x^5+6*x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315496 4.02191 [(x^10+4*x^9+x^8+4*x^7+2*x^6+4*x^5+2*x^4+4*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315497 3.61566 [-(2*x^15-x^12-6*x^11-13*x^10-18*x^9-24*x^8-28*x^7-32*x^6-28*x^5-22*x^4-16*x^3-11*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315497 4.50252 [-(2*x^15-x^12-6*x^11-13*x^10-18*x^9-24*x^8-28*x^7-32*x^6-28*x^5-22*x^4-16*x^3-11*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315498 3.42536 [(x^12+5*x^11+5*x^10+5*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315498 4.90342 [(x^12+5*x^11+5*x^10+5*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+5*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315499 3.50931 [(x^12+4*x^11+x^10+4*x^9+2*x^8+4*x^7+2*x^6+4*x^5+2*x^4+4*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315501 4.28683 [-(x^11-x^10+x^9-2*x^8-4*x^7-3*x^6-8*x^5-5*x^4-8*x^3-2*x^2-4*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315501 4.83716 [-(x^11-x^10+x^9-2*x^8-4*x^7-3*x^6-8*x^5-5*x^4-8*x^3-2*x^2-4*x-1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315503 3.70827 [(x^12+3*x^11-2*x^10+7*x^9+5*x^7+5*x^5+7*x^3-2*x^2+3*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315505 5.83597 [(x^8+6*x^7+11*x^6+16*x^5+22*x^4+16*x^3+11*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315505 6.47262 [(x^8+6*x^7+11*x^6+16*x^5+22*x^4+16*x^3+11*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315506 3.40905 [(x^12+5*x^11+5*x^10+6*x^9+3*x^8+5*x^7+10*x^6+5*x^5+3*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315506 4.87007 [(x^12+5*x^11+5*x^10+6*x^9+3*x^8+5*x^7+10*x^6+5*x^5+3*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315507 3.38792 [(x^12+5*x^11+5*x^10+6*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315507 4.84984 [(x^12+5*x^11+5*x^10+6*x^9+4*x^8+5*x^7+4*x^6+5*x^5+4*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315508 3.97796 [(x^10+4*x^9+x^8+5*x^7-x^6+6*x^5-x^4+5*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315509 3.38792 [(x^12+5*x^11+5*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315509 4.84984 [(x^12+5*x^11+5*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315510 5.35329 [(x^8+4*x^7+2*x^5+2*x^4+2*x^3+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315510 7.34008 [(x^8+4*x^7+2*x^5+2*x^4+2*x^3+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315511 5.04956 [(x^8+5*x^7+5*x^6+6*x^5+4*x^4+6*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315511 6.53200 [(x^8+5*x^7+5*x^6+6*x^5+4*x^4+6*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315512 4.06850 [(x^10+3*x^9-3*x^8+5*x^7-3*x^6+5*x^5-3*x^4+5*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315512 4.28909 [(x^10+3*x^9-3*x^8+5*x^7-3*x^6+5*x^5-3*x^4+5*x^3-3*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315514 4.34139 [(x^12+3*x^11-2*x^10+7*x^9-7*x^8+10*x^7-6*x^6+10*x^5-7*x^4+7*x^3-2*x^2+3*x+1)*(x+1)^2/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315515 4.72051 [(x^10+5*x^9+5*x^8+5*x^7-x^5+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315515 4.95158 [(x^10+5*x^9+5*x^8+5*x^7-x^5+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315516 3.38792 [(x^12+5*x^11+5*x^10+6*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315516 4.84984 [(x^12+5*x^11+5*x^10+6*x^9+5*x^8+4*x^7+6*x^6+4*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315517 6.08537 [(x^8+5*x^7+4*x^6-4*x^4+4*x^2+5*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315518 4.26340 [(x^10+4*x^9+x^8+5*x^7+5*x^5+5*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315518 4.39499 [(x^10+4*x^9+x^8+5*x^7+5*x^5+5*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315519 3.80742 [(x^10+4*x^9+2*x^7+3*x^6+3*x^4+2*x^3+4*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315519 4.87663 [(x^10+4*x^9+2*x^7+3*x^6+3*x^4+2*x^3+4*x+1)*(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315520 7.65578 [(x^6+4*x^5+x^3+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315520 9.75326 [(x^6+4*x^5+x^3+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315521 3.40664 [(x^12+5*x^11+5*x^10+6*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315521 4.87663 [(x^12+5*x^11+5*x^10+6*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315522 6.30078 [(x^8+4*x^7+x^5-x^4+x^3+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315522 6.53200 [(x^8+4*x^7+x^5-x^4+x^3+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315523 4.77267 [(x^10+5*x^9+5*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315523 5.63701 [(x^10+5*x^9+5*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315525 6.56789 [(x^6+5*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315525 7.69785 [(x^6+5*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315526 3.42536 [(x^12+5*x^11+5*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315526 4.90342 [(x^12+5*x^11+5*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315527 5.18768 [(x^10+4*x^9+x^7+5*x^5+x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315527 5.30296 [(x^10+4*x^9+x^7+5*x^5+x^3+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315529 3.93352 [(x^14+4*x^13+x^12+5*x^11+7*x^9-2*x^8+13*x^7-2*x^6+7*x^5+5*x^3+x^2+4*x+1)/(x^4+1)/(x^4-x^2+1)/(x-1)^2/(x^2+1)^2 ogf] A315533 3.7679 [-(x^17-x^16+x^12-x^11-x^10-6*x^9-4*x^8-7*x^7-4*x^6-8*x^5-5*x^4-6*x^3-5*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315533 4.39202 [-(x^17-x^16+x^12-x^11-x^10-6*x^9-4*x^8-7*x^7-4*x^6-8*x^5-5*x^4-6*x^3-5*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315534 4.28909 [(x^10+5*x^9+5*x^8+5*x^7+x^6-x^5+x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315534 4.47791 [(x^10+5*x^9+5*x^8+5*x^7+x^6-x^5+x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315535 4.77267 [(x^10+5*x^9+5*x^8+6*x^7+6*x^6+4*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315535 5.63701 [(x^10+5*x^9+5*x^8+6*x^7+6*x^6+4*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315536 4.02191 [(x^10+4*x^9+x^8+5*x^7+x^6+4*x^5+x^4+5*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315537 3.42536 [(x^12+5*x^11+5*x^10+6*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315537 4.90342 [(x^12+5*x^11+5*x^10+6*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315538 5.38271 [-(49*f(x)+40)*(f(x)*x^4-f(x)*x^3-x^4-5*x^3-f(x)*x-5*x^2+f(x)-5*x-1) ogf] A315538 9.29740 [(x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A315538 9.29741 [(x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A315539 3.45846 [(x^2+1)*(x^10+5*x^9+4*x^8+x^7+2*x^6+5*x^5+2*x^4+x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315539 4.90342 [(x^2+1)*(x^10+5*x^9+4*x^8+x^7+2*x^6+5*x^5+2*x^4+x^3+4*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315540 3.65255 [(x^12+4*x^11+x^10+5*x^9+x^8+5*x^7+5*x^5+x^4+5*x^3+x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315541 5.07731 [(x^8+5*x^7+5*x^6+6*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315541 6.56789 [(x^8+5*x^7+5*x^6+6*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315542 4.52712 [-(x^12-2*x^8-7*x^7-10*x^6-12*x^5-12*x^4-11*x^3-10*x^2-6*x-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A315542 5.66781 [-(x^12-2*x^8-7*x^7-10*x^6-12*x^5-12*x^4-11*x^3-10*x^2-6*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A315543 4.80470 [(x^8+4*x^7+x^6+5*x^5+x^4+5*x^3+x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315543 5.91653 [(x^8+4*x^7+x^6+5*x^5+x^4+5*x^3+x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315546 4.77267 [(x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315546 5.63701 [(x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315547 4.02191 [(x^10+4*x^9+x^8+5*x^7+x^6+5*x^5+x^4+5*x^3+x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315548 3.42536 [(x^12+5*x^11+5*x^10+6*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315548 4.90342 [(x^12+5*x^11+5*x^10+6*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+5*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315549 4.31265 [(x^10+5*x^9+5*x^8+5*x^7+x^6+x^5+x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315549 4.50252 [(x^10+5*x^9+5*x^8+5*x^7+x^6+x^5+x^4+5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315554 3.59749 [(x^12+5*x^11+6*x^10+11*x^9+13*x^8+15*x^7+12*x^6+15*x^5+13*x^4+11*x^3+6*x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A315559 4.8047 [(x^10+6*x^9+11*x^8+18*x^7+22*x^6+28*x^5+22*x^4+18*x^3+11*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315559 5.50692 [(x^10+6*x^9+11*x^8+18*x^7+22*x^6+28*x^5+22*x^4+18*x^3+11*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315563 7.45729 [(x^6+6*x^5+11*x^4+16*x^3+11*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315563 7.78152 [(x^6+6*x^5+11*x^4+16*x^3+11*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315564 3.86973 [(x^12+6*x^11+11*x^10+18*x^9+24*x^8+28*x^7+34*x^6+28*x^5+24*x^4+18*x^3+11*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315564 4.77267 [(x^12+6*x^11+11*x^10+18*x^9+24*x^8+28*x^7+34*x^6+28*x^5+24*x^4+18*x^3+11*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315572 3.5959 [-(6*x^15-x^12-6*x^11-18*x^10-18*x^9-18*x^8-30*x^7-28*x^6-30*x^5-12*x^4-12*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315572 4.47791 [-(6*x^15-x^12-6*x^11-18*x^10-18*x^9-18*x^8-30*x^7-28*x^6-30*x^5-12*x^4-12*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315575 3.95623 [(x^14+6*x^13+12*x^12+11*x^11+12*x^10+6*x^9+18*x^8+18*x^7+18*x^6+6*x^5+12*x^4+11*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315581 3.99993 [(x^14+6*x^13+12*x^12+12*x^11+18*x^10+29*x^9+24*x^8+24*x^7+24*x^6+29*x^5+18*x^4+12*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315582 3.5959 [-(6*x^15-x^12-6*x^11-18*x^10-18*x^9-24*x^8-30*x^7-28*x^6-30*x^5-18*x^4-12*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315582 4.47791 [-(6*x^15-x^12-6*x^11-18*x^10-18*x^9-24*x^8-30*x^7-28*x^6-30*x^5-18*x^4-12*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315583 3.78783 [-(6*x^15-7*x^12-6*x^11-18*x^10-5*x^9-18*x^8-18*x^7-24*x^6-18*x^5-12*x^4-11*x^3-12*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315583 4.31265 [-(6*x^15-7*x^12-6*x^11-18*x^10-5*x^9-18*x^8-18*x^7-24*x^6-18*x^5-12*x^4-11*x^3-12*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315596 3.97796 [(x^14+6*x^13+12*x^12+12*x^11+24*x^10+29*x^9+18*x^8+24*x^7+18*x^6+29*x^5+24*x^4+12*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315598 4.06761 [(x^10+5*x^9+7*x^8+5*x^7+18*x^6+6*x^5+18*x^4+5*x^3+7*x^2+5*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315598 4.44658 [(x^10+5*x^9+7*x^8+5*x^7+18*x^6+6*x^5+18*x^4+5*x^3+7*x^2+5*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315600 3.43495 [(x^14+6*x^13+12*x^12+14*x^11+18*x^10+22*x^9+28*x^8+32*x^7+28*x^6+20*x^5+18*x^4+14*x^3+12*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315600 4.14214 [(x^14+6*x^13+12*x^12+14*x^11+18*x^10+22*x^9+28*x^8+32*x^7+28*x^6+20*x^5+18*x^4+14*x^3+12*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315605 4.1898 [-(2*x^15-4*x^13-x^12-12*x^10-8*x^9+x^8-8*x^7-22*x^6-14*x^5+x^4-2*x^3-10*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^4+1)^2 ogf] A315610 6.49611 [(x^6+5*x^5+6*x^4+2*x^3+6*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315610 7.61372 [(x^6+5*x^5+6*x^4+2*x^3+6*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315612 3.61566 [-(2*x^15-x^12-6*x^11-14*x^10-16*x^9-22*x^8-28*x^7-32*x^6-28*x^5-20*x^4-14*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315612 4.50252 [-(2*x^15-x^12-6*x^11-14*x^10-16*x^9-22*x^8-28*x^7-32*x^6-28*x^5-20*x^4-14*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315614 4.70987 [(x^10+5*x^9+6*x^8+2*x^7+10*x^6+2*x^5+10*x^4+2*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315614 5.54961 [(x^10+5*x^9+6*x^8+2*x^7+10*x^6+2*x^5+10*x^4+2*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315615 3.97909 [(x^14+4*x^13+3*x^12+5*x^11+5*x^10+6*x^9+7*x^8+13*x^7+7*x^6+6*x^5+5*x^4+5*x^3+3*x^2+4*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315616 4.4888 [(x^12+4*x^11+2*x^10+x^9+3*x^8+5*x^7+6*x^6+5*x^5+3*x^4+x^3+2*x^2+4*x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A315617 4.71515 [(x^10+5*x^9+6*x^8+3*x^7+3*x^6+12*x^5+3*x^4+3*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315617 5.56241 [(x^10+5*x^9+6*x^8+3*x^7+3*x^6+12*x^5+3*x^4+3*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315618 4.87663 [(x^10+4*x^9+3*x^8+5*x^7+6*x^6+9*x^5+6*x^4+5*x^3+3*x^2+4*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315621 3.7679 [-(3*x^18-4*x^12-6*x^11-15*x^10-14*x^9-18*x^8-18*x^7-18*x^6-18*x^5-15*x^4-14*x^3-12*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315621 4.28683 [-(3*x^18-4*x^12-6*x^11-15*x^10-14*x^9-18*x^8-18*x^7-18*x^6-18*x^5-15*x^4-14*x^3-12*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315623 3.99993 [(x^14+6*x^13+12*x^12+15*x^11+24*x^10+29*x^9+21*x^8+24*x^7+21*x^6+29*x^5+24*x^4+15*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315627 4.6233 [-(2*x^10-2*x^9-x^7-5*x^6-8*x^5-2*x^4-4*x^3-6*x^2-5*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315627 6.03380 [-(2*x^10-2*x^9-x^7-5*x^6-8*x^5-2*x^4-4*x^3-6*x^2-5*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315629 3.44952 [(x^10+3*x^9-x^8+3*x^7-x^6+3*x^5-x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315629 4.79625 [(x^10+3*x^9-x^8+3*x^7-x^6+3*x^5-x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315630 3.95598 [(x^10+4*x^9+2*x^8+2*x^7+2*x^6+2*x^5+2*x^4+2*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315631 4.88328 [(x^8+3*x^7-x^6+3*x^5-x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315631 5.57540 [(x^8+3*x^7-x^6+3*x^5-x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315632 6.49611 [(x^6+4*x^5+x^4-2*x^3+x^2+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315632 7.95591 [(x^6+4*x^5+x^4-2*x^3+x^2+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315633 3.36921 [(x^12+5*x^11+6*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315633 4.82304 [(x^12+5*x^11+6*x^10+4*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315634 5.16844 [(x^6+3*x^5-x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315634 6.49611 [(x^6+3*x^5-x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315635 4.72051 [(x^10+5*x^9+6*x^8+4*x^7+4*x^6+6*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315635 5.57540 [(x^10+5*x^9+6*x^8+4*x^7+4*x^6+6*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315636 3.38792 [(x^12+5*x^11+6*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315636 4.84984 [(x^12+5*x^11+6*x^10+4*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315637 3.97796 [(x^10+4*x^9+2*x^8+2*x^7+2*x^6+4*x^5+2*x^4+2*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315638 3.40664 [(x^12+5*x^11+6*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315638 4.87663 [(x^12+5*x^11+6*x^10+4*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315639 6.08537 [(x^6+4*x^5+2*x^4+2*x^3+2*x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315639 6.30078 [(x^6+4*x^5+2*x^4+2*x^3+2*x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315640 3.45403 [(x^14+6*x^13+12*x^12+16*x^11+21*x^10+25*x^9+32*x^8+36*x^7+32*x^6+25*x^5+21*x^4+16*x^3+12*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315640 4.16515 [(x^14+6*x^13+12*x^12+16*x^11+21*x^10+25*x^9+32*x^8+36*x^7+32*x^6+25*x^5+21*x^4+16*x^3+12*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315641 4.26340 [(x^8+2*x^7-4*x^6+4*x^5-2*x^4+4*x^3-4*x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315641 4.31508 [(x^8+2*x^7-4*x^6+4*x^5-2*x^4+4*x^3-4*x^2+2*x+1)*(x+1)^2/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315642 3.45625 [(x^2-x+1)*(x^8+4*x^7+2*x^6+x^5-x^4+x^3+2*x^2+4*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315642 4.87663 [(x^2-x+1)*(x^8+4*x^7+2*x^6+x^5-x^4+x^3+2*x^2+4*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315643 3.38792 [(x^12+5*x^11+6*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315643 4.84984 [(x^12+5*x^11+6*x^10+4*x^9+6*x^8+4*x^7+4*x^6+4*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315644 4.04615 [(x^10+4*x^9+2*x^8+2*x^7+4*x^6+4*x^4+2*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315644 4.16515 [(x^10+4*x^9+2*x^8+2*x^7+4*x^6+4*x^4+2*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315645 3.40664 [(x^12+5*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315645 4.87663 [(x^12+5*x^11+6*x^10+4*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315646 4.77844 [(x^8+4*x^7+x^6-x^5+6*x^4-x^3+x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315646 6.30078 [(x^8+4*x^7+x^6-x^5+6*x^4-x^3+x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315647 5.04956 [(x^8+5*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315647 6.53200 [(x^8+5*x^7+6*x^6+4*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315649 4.06850 [(x^10+3*x^9-2*x^8+x^7+5*x^6-5*x^5+5*x^4+x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315649 4.28909 [(x^10+3*x^9-2*x^8+x^7+5*x^6-5*x^5+5*x^4+x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315650 3.50733 [(x^10+3*x^9-x^8+3*x^7+x^6+x^5+x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315650 4.87663 [(x^10+3*x^9-x^8+3*x^7+x^6+x^5+x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315651 4.80470 [(x^8+4*x^7+2*x^6+2*x^5+4*x^4+2*x^3+2*x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315651 5.91653 [(x^8+4*x^7+2*x^6+2*x^5+4*x^4+2*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315653 4.77267 [(x^10+5*x^9+6*x^8+4*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315653 5.63701 [(x^10+5*x^9+6*x^8+4*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315654 6.8181 [(x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315654 7.69785 [(x^4+3*x^3-x^2+3*x+1)*(x+1)^2/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315655 3.42536 [(x^12+5*x^11+6*x^10+4*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315655 4.90342 [(x^12+5*x^11+6*x^10+4*x^9+6*x^8+6*x^7+6*x^6+6*x^5+6*x^4+4*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315656 4.41914 [(x^10+5*x^9+6*x^8+5*x^7+11*x^6+12*x^5+11*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A315656 4.44659 [(x^10+5*x^9+6*x^8+5*x^7+11*x^6+12*x^5+11*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A315658 3.63542 [-(2*x^15-x^12-6*x^11-14*x^10-18*x^9-24*x^8-30*x^7-32*x^6-30*x^5-22*x^4-16*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315658 4.52712 [-(2*x^15-x^12-6*x^11-14*x^10-18*x^9-24*x^8-30*x^7-32*x^6-30*x^5-22*x^4-16*x^3-12*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315660 4.16221 [-(x^15-x^13-x^10-5*x^9-6*x^8-5*x^7-7*x^6-5*x^5-7*x^4-4*x^3-6*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315660 4.93724 [-(x^15-x^13-x^10-5*x^9-6*x^8-5*x^7-7*x^6-5*x^5-7*x^4-4*x^3-6*x^2-5*x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315662 5.22555 [(x^8+4*x^7+3*x^6+6*x^5+8*x^4+6*x^3+3*x^2+4*x+1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315662 5.50692 [(x^8+4*x^7+3*x^6+6*x^5+8*x^4+6*x^3+3*x^2+4*x+1)*(x+1)^2/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315665 3.47311 [(x^14+6*x^13+12*x^12+17*x^11+19*x^10+26*x^9+32*x^8+36*x^7+32*x^6+26*x^5+19*x^4+17*x^3+12*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315665 4.18816 [(x^14+6*x^13+12*x^12+17*x^11+19*x^10+26*x^9+32*x^8+36*x^7+32*x^6+26*x^5+19*x^4+17*x^3+12*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315666 3.43261 [(x^12+4*x^11+2*x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315667 3.36921 [(x^12+5*x^11+6*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315667 4.82304 [(x^12+5*x^11+6*x^10+5*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315668 6.05193 [(x^6+3*x^5-2*x^4+x^3-2*x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315668 6.49611 [(x^6+3*x^5-2*x^4+x^3-2*x^2+3*x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315669 4.72051 [(x^10+5*x^9+6*x^8+5*x^7+4*x^6+4*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315669 5.57540 [(x^10+5*x^9+6*x^8+5*x^7+4*x^6+4*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315670 4.21655 [(x^10+3*x^9-2*x^8+2*x^7+x^6+x^4+2*x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315670 4.45674 [(x^10+3*x^9-2*x^8+2*x^7+x^6+x^4+2*x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315671 4.77844 [(x^8+4*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315671 5.8842 [(x^8+4*x^7+2*x^6+3*x^5+x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315672 3.97796 [(x^10+4*x^9+2*x^8+3*x^7+x^6+4*x^5+x^4+3*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315673 3.47096 [(x^12+4*x^11+2*x^10+3*x^9+x^8+4*x^7+x^6+4*x^5+x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315674 3.38792 [(x^12+5*x^11+6*x^10+5*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315674 4.84984 [(x^12+5*x^11+6*x^10+5*x^9+4*x^8+5*x^7+6*x^6+5*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315675 3.49014 [(x^12+4*x^11+2*x^10+3*x^9+x^8+4*x^7+2*x^6+4*x^5+x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315676 5.04956 [(x^8+5*x^7+6*x^6+5*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315676 6.53200 [(x^8+5*x^7+6*x^6+5*x^5+4*x^4+5*x^3+6*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315678 3.48806 [(x^10+3*x^9-x^8+4*x^7-2*x^6+4*x^5-2*x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315678 4.84984 [(x^10+3*x^9-x^8+4*x^7-2*x^6+4*x^5-2*x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315679 3.97796 [(x^10+4*x^9+2*x^8+3*x^7+2*x^6+2*x^5+2*x^4+3*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315680 5.35329 [(x^6+2*x^5-4*x^4+6*x^3-4*x^2+2*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A315680 6.532 [(x^6+2*x^5-4*x^4+6*x^3-4*x^2+2*x+1)*(x+1)^2/(x^6+x^3+1)/(x-1)^2 ogf] A315681 4.72051 [(x^10+5*x^9+6*x^8+4*x^7-x^5+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315681 4.95158 [(x^10+5*x^9+6*x^8+4*x^7-x^5+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315682 3.38792 [(x^12+5*x^11+6*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315682 4.84984 [(x^12+5*x^11+6*x^10+5*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315683 4.18817 [(x^10+4*x^9+x^8-x^7+x^6+4*x^5+x^4-x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315683 4.26340 [(x^10+4*x^9+x^8-x^7+x^6+4*x^5+x^4-x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315684 3.99993 [(x^10+4*x^9+2*x^8+3*x^7+2*x^6+3*x^5+2*x^4+3*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315685 6.56789 [(x^6+4*x^5+x^4-x^3+x^2+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315685 8.04382 [(x^6+4*x^5+x^4-x^3+x^2+4*x+1)/(x^4+1)/(x-1)^2 ogf] A315686 3.50733 [(x^10+3*x^9-x^8+4*x^7-2*x^6+5*x^5-2*x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315686 4.87663 [(x^10+3*x^9-x^8+4*x^7-2*x^6+5*x^5-2*x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315687 4.06850 [(x^10+3*x^9-2*x^8+2*x^7+2*x^6-x^5+2*x^4+2*x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315687 4.28909 [(x^10+3*x^9-2*x^8+2*x^7+2*x^6-x^5+2*x^4+2*x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315688 5.014 [(x^10+5*x^9+6*x^8+4*x^7+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315688 5.27399 [(x^10+5*x^9+6*x^8+4*x^7+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315689 3.49014 [(x^12+4*x^11+2*x^10+3*x^9+2*x^8+4*x^7+x^6+4*x^5+2*x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315690 4.77267 [(x^10+5*x^9+6*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315690 5.63701 [(x^10+5*x^9+6*x^8+5*x^7+5*x^6+6*x^5+5*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315691 4.02191 [(x^10+4*x^9+2*x^8+3*x^7+2*x^6+4*x^5+2*x^4+3*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315692 3.42536 [(x^12+5*x^11+6*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315692 4.90342 [(x^12+5*x^11+6*x^10+5*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315693 6.11880 [(x^6+4*x^5+2*x^4+3*x^3+2*x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315693 6.3354 [(x^6+4*x^5+2*x^4+3*x^3+2*x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A315695 3.40664 [(x^12+5*x^11+6*x^10+5*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315695 4.87663 [(x^12+5*x^11+6*x^10+5*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315696 4.77267 [(x^10+5*x^9+6*x^8+5*x^7+6*x^6+4*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315696 5.63701 [(x^10+5*x^9+6*x^8+5*x^7+6*x^6+4*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315697 5.51929 [(x^8+4*x^7+x^6-x^5+x^4-x^3+x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315697 5.69590 [(x^8+4*x^7+x^6-x^5+x^4-x^3+x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315698 4.02191 [(x^10+4*x^9+2*x^8+3*x^7+3*x^6+2*x^5+3*x^4+3*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315699 3.42536 [(x^12+5*x^11+6*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315699 4.90342 [(x^12+5*x^11+6*x^10+5*x^9+6*x^8+5*x^7+6*x^6+5*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315700 4.21118 [(x^10+4*x^9+x^8-x^7+2*x^6+3*x^5+2*x^4-x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315700 4.28683 [(x^10+4*x^9+x^8-x^7+2*x^6+3*x^5+2*x^4-x^3+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315701 5.22555 [(x^6+3*x^5-x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315701 6.56789 [(x^6+3*x^5-x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315702 3.42536 [(x^12+5*x^11+6*x^10+5*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315702 4.90342 [(x^12+5*x^11+6*x^10+5*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315703 4.53101 [(x^10+5*x^9+6*x^8+4*x^7+x^6+x^4+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315703 4.74106 [(x^10+5*x^9+6*x^8+4*x^7+x^6+x^4+4*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315704 4.80470 [(x^8+4*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315704 5.91653 [(x^8+4*x^7+2*x^6+3*x^5+3*x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315706 4.93724 [(x^8+3*x^7-x^6+4*x^5-x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315706 5.63701 [(x^8+3*x^7-x^6+4*x^5-x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315707 6.56789 [(x^6+5*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315707 7.69785 [(x^6+5*x^5+6*x^4+5*x^3+6*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315709 3.5266 [(x^10+3*x^9-x^8+4*x^7-x^6+4*x^5-x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315709 4.90342 [(x^10+3*x^9-x^8+4*x^7-x^6+4*x^5-x^4+4*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315710 3.50931 [(x^12+4*x^11+2*x^10+3*x^9+3*x^8+3*x^7+3*x^6+3*x^5+3*x^4+3*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315711 4.41914 [(x^10+5*x^9+6*x^8+6*x^7+11*x^6+12*x^5+11*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A315711 4.44659 [(x^10+5*x^9+6*x^8+6*x^7+11*x^6+12*x^5+11*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x-1)^2/(x+1)^2/(x^2-x+1)^2 ogf] A315721 3.89088 [(x^12+6*x^11+12*x^10+18*x^9+18*x^8+30*x^7+34*x^6+30*x^5+18*x^4+18*x^3+12*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315721 4.79875 [(x^12+6*x^11+12*x^10+18*x^9+18*x^8+30*x^7+34*x^6+30*x^5+18*x^4+18*x^3+12*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315724 3.89088 [(x^12+6*x^11+12*x^10+18*x^9+21*x^8+30*x^7+34*x^6+30*x^5+21*x^4+18*x^3+12*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315724 4.79875 [(x^12+6*x^11+12*x^10+18*x^9+21*x^8+30*x^7+34*x^6+30*x^5+21*x^4+18*x^3+12*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315725 3.38792 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315725 4.84984 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315726 4.23998 [(x^10+4*x^9+2*x^8+4*x^7+4*x^5+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315726 4.37084 [(x^10+4*x^9+2*x^8+4*x^7+4*x^5+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315727 4.77844 [(x^8+4*x^7+x^6+x^5+2*x^4+x^3+x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315727 6.30078 [(x^8+4*x^7+x^6+x^5+2*x^4+x^3+x^2+4*x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315728 3.38792 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315728 4.84984 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+4*x^7+6*x^6+4*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315729 5.07730 [(x^8+4*x^7+2*x^6+4*x^5+4*x^3+2*x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315729 6.3354 [(x^8+4*x^7+2*x^6+4*x^5+4*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315730 3.40664 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315730 4.87663 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315731 4.77267 [(x^10+5*x^9+6*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315731 5.63701 [(x^10+5*x^9+6*x^8+6*x^7+4*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315732 4.28683 [(x^10+4*x^9+2*x^8+4*x^7+6*x^5+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315732 4.41914 [(x^10+4*x^9+2*x^8+4*x^7+6*x^5+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315733 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315733 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+4*x^8+6*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315734 5.07731 [(x^8+5*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315734 6.56789 [(x^8+5*x^7+6*x^6+6*x^5+4*x^4+6*x^3+6*x^2+5*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315735 3.47096 [(x^12+4*x^11+2*x^10+4*x^9+x^8+3*x^7+x^6+3*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315736 3.38792 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315736 4.84984 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+4*x^7+4*x^6+4*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315737 3.99993 [(x^10+4*x^9+2*x^8+4*x^7+x^6+3*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315738 4.74659 [(x^10+5*x^9+6*x^8+5*x^7-2*x^5+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315738 4.97894 [(x^10+5*x^9+6*x^8+5*x^7-2*x^5+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315739 4.77267 [(x^10+5*x^9+6*x^8+6*x^7+5*x^6+4*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315739 5.63701 [(x^10+5*x^9+6*x^8+6*x^7+5*x^6+4*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315740 3.40664 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315740 4.87663 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+5*x^7+4*x^6+5*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315741 6.30078 [(x^8+4*x^7+x^6-x^4+x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315741 6.53200 [(x^8+4*x^7+x^6-x^4+x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315742 4.02191 [(x^10+4*x^9+2*x^8+4*x^7+x^6+4*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315743 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315743 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+5*x^7+6*x^6+5*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315744 3.50931 [(x^12+4*x^11+2*x^10+4*x^9+x^8+4*x^7+2*x^6+4*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A315745 4.80470 [(x^8+4*x^7+2*x^6+4*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^4+1)/(x^2+1)/(x-1)^2 ogf] A315745 5.91653 [(x^8+4*x^7+2*x^6+4*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A315746 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315746 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+6*x^7+4*x^6+6*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315747 6.11880 [(x^8+5*x^7+5*x^6-5*x^4+5*x^2+5*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315747 6.11881 [(x^8+5*x^7+5*x^6-5*x^4+5*x^2+5*x+1)/(x^2+x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315748 4.77267 [(x^10+5*x^9+6*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315748 5.63701 [(x^10+5*x^9+6*x^8+6*x^7+5*x^6+6*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315749 4.02191 [(x^10+4*x^9+2*x^8+4*x^7+x^6+5*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315750 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315750 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+5*x^8+6*x^7+6*x^6+6*x^5+5*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315751 3.50931 [(x^12+4*x^11+2*x^10+4*x^9+x^8+5*x^7+x^6+5*x^5+x^4+4*x^3+2*x^2+4*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315753 3.99944 [(x^14+6*x^13+12*x^12+17*x^11+18*x^10+12*x^9+18*x^8+18*x^7+18*x^6+12*x^5+18*x^4+17*x^3+12*x^2+6*x+1)/(x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315754 3.50733 [(x^10+3*x^9-x^8+5*x^7-3*x^6+5*x^5-3*x^4+5*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315754 4.87663 [(x^10+3*x^9-x^8+5*x^7-3*x^6+5*x^5-3*x^4+5*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315755 4.02191 [(x^10+4*x^9+2*x^8+4*x^7+2*x^6+2*x^5+2*x^4+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315756 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315756 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+6*x^8+4*x^7+6*x^6+4*x^5+6*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315757 4.93724 [(x^8+3*x^7-x^6+5*x^5-3*x^4+5*x^3-x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315757 5.63701 [(x^8+3*x^7-x^6+5*x^5-3*x^4+5*x^3-x^2+3*x+1)*(x+1)^2/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315758 4.06850 [(x^10+3*x^9-2*x^8+3*x^7+x^6-x^5+x^4+3*x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315758 4.28909 [(x^10+3*x^9-2*x^8+3*x^7+x^6-x^5+x^4+3*x^3-2*x^2+3*x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315759 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315759 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+6*x^8+5*x^7+4*x^6+5*x^5+6*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315760 4.6487 [(x^10+4*x^9+x^8+x^6+3*x^5+x^4+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315760 4.74106 [(x^10+4*x^9+x^8+x^6+3*x^5+x^4+x^2+4*x+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315761 4.02191 [(x^10+4*x^9+2*x^8+4*x^7+2*x^6+3*x^5+2*x^4+4*x^3+2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315762 3.5266 [(x^10+3*x^9-x^8+5*x^7-3*x^6+6*x^5-3*x^4+5*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315762 4.90342 [(x^10+3*x^9-x^8+5*x^7-3*x^6+6*x^5-3*x^4+5*x^3-x^2+3*x+1)*(x+1)^2/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315763 4.31265 [(x^10+5*x^9+6*x^8+5*x^7+x^6-x^5+x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315763 4.50252 [(x^10+5*x^9+6*x^8+5*x^7+x^6-x^5+x^4+5*x^3+6*x^2+5*x+1)/(x^2+x+1)/(x^2+1)/(x^4-x^2+1)/(x-1)^2 ogf] A315764 3.80798 [(x^12+5*x^11+6*x^10+7*x^9+11*x^8+11*x^7+2*x^6+11*x^5+11*x^4+7*x^3+6*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315765 3.61566 [(x^12+5*x^11+7*x^10+11*x^9+13*x^8+16*x^7+8*x^6+16*x^5+13*x^4+11*x^3+7*x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A315767 3.42536 [(x^12+5*x^11+6*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315767 4.90342 [(x^12+5*x^11+6*x^10+6*x^9+6*x^8+6*x^7+4*x^6+6*x^5+6*x^4+6*x^3+6*x^2+5*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315768 3.52849 [(x^12+4*x^11+2*x^10+4*x^9+2*x^8+4*x^7+x^6+4*x^5+2*x^4+4*x^3+2*x^2+4*x+1)/(x^2+1)/(x^4-x^2+1)/(x^2-x+1)/(x^2+x+1)/(x-1)^2 ogf] A315785 4.05091 [(x^12+5*x^11+7*x^9+11*x^8+5*x^7+2*x^6+11*x^5+5*x^4+7*x^3+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A315788 3.86757 [(x^10+5*x^9+x^8+11*x^7+6*x^6+6*x^5+6*x^4+11*x^3+x^2+5*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315788 4.22789 [(x^10+5*x^9+x^8+11*x^7+6*x^6+6*x^5+6*x^4+11*x^3+x^2+5*x+1)/(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315793 3.66232 [-(6*x^14-x^12-12*x^11-24*x^9-18*x^8-30*x^7-22*x^6-24*x^5-18*x^4-12*x^3-6*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315793 4.62091 [-(6*x^14-x^12-12*x^11-24*x^9-18*x^8-30*x^7-22*x^6-24*x^5-18*x^4-12*x^3-6*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315796 5.15807 [-(6*x^10-x^8-12*x^7-12*x^6-18*x^5-16*x^4-12*x^3-6*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315796 5.85160 [-(6*x^10-x^8-12*x^7-12*x^6-18*x^5-16*x^4-12*x^3-6*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315797 3.68434 [-(6*x^14-x^12-12*x^11-6*x^10-22*x^9-11*x^8-24*x^7-22*x^6-20*x^5-19*x^4-12*x^3-6*x^2-6*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315797 4.19482 [-(6*x^14-x^12-12*x^11-6*x^10-22*x^9-11*x^8-24*x^7-22*x^6-20*x^5-19*x^4-12*x^3-6*x^2-6*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315798 3.68313 [-(6*x^14-x^12-12*x^11-24*x^9-21*x^8-30*x^7-22*x^6-24*x^5-21*x^4-12*x^3-6*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315798 4.64717 [-(6*x^14-x^12-12*x^11-24*x^9-21*x^8-30*x^7-22*x^6-24*x^5-21*x^4-12*x^3-6*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315801 4.43529 [-(6*x^10-7*x^8-12*x^7+x^6-12*x^5-18*x^4-6*x^3-5*x^2-6*x-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A315801 5.57072 [-(6*x^10-7*x^8-12*x^7+x^6-12*x^5-18*x^4-6*x^3-5*x^2-6*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A315808 4.8148 [(x^8+5*x^7+x^6+13*x^5+2*x^4+13*x^3+x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315808 4.81480 [(x^8+5*x^7+x^6+13*x^5+2*x^4+13*x^3+x^2+5*x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315809 3.11184 [(x^12+5*x^11+x^10+13*x^9-4*x^8+16*x^7-4*x^6+16*x^5-4*x^4+13*x^3+x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315816 3.43025 [(x^14+6*x^13+6*x^12+18*x^11+12*x^10+30*x^9+18*x^8+40*x^7+18*x^6+30*x^5+12*x^4+18*x^3+6*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315816 4.14488 [(x^14+6*x^13+6*x^12+18*x^11+12*x^10+30*x^9+18*x^8+40*x^7+18*x^6+30*x^5+12*x^4+18*x^3+6*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315817 4.7104 [(x^10+6*x^9+6*x^8+18*x^7+12*x^6+28*x^5+12*x^4+18*x^3+6*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315817 5.40959 [(x^10+6*x^9+6*x^8+18*x^7+12*x^6+28*x^5+12*x^4+18*x^3+6*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315818 3.16518 [(x^12+5*x^11+x^10+16*x^9-4*x^8+16*x^7-4*x^6+16*x^5-4*x^4+16*x^3+x^2+5*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A315823 3.82651 [(x^12+6*x^11+6*x^10+18*x^9+24*x^8+18*x^7+34*x^6+18*x^5+24*x^4+18*x^3+6*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315823 4.73143 [(x^12+6*x^11+6*x^10+18*x^9+24*x^8+18*x^7+34*x^6+18*x^5+24*x^4+18*x^3+6*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315828 4.47859 [(x^10+6*x^9+6*x^8+6*x^7+12*x^6+16*x^5+12*x^4+6*x^3+6*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315828 5.15393 [(x^10+6*x^9+6*x^8+6*x^7+12*x^6+16*x^5+12*x^4+6*x^3+6*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315832 4.69443 [(x^8+5*x^7+x^6+5*x^5+8*x^4+5*x^3+x^2+5*x+1)*(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315832 5.31790 [(x^8+5*x^7+x^6+5*x^5+8*x^4+5*x^3+x^2+5*x+1)*(x^2+x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315840 3.37508 [(x^2+1)*(x^12+5*x^11+x^10+7*x^9+4*x^8+8*x^7+6*x^6+8*x^5+4*x^4+7*x^3+x^2+5*x+1)/(x^2-x+1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315847 7.40787 [(x^6+6*x^5+7*x^4+16*x^3+7*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315847 7.73711 [(x^6+6*x^5+7*x^4+16*x^3+7*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315850 3.4009 [(x^12+6*x^11+8*x^10+9*x^9+7*x^8+15*x^7+18*x^6+15*x^5+7*x^4+9*x^3+8*x^2+6*x+1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^4+1)/(x-1)^2 ogf] A315858 3.31462 [(x^14+6*x^13+8*x^12+12*x^11+14*x^10+18*x^9+24*x^8+28*x^7+20*x^6+18*x^5+14*x^4+12*x^3+8*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315858 4.00516 [(x^14+6*x^13+8*x^12+12*x^11+14*x^10+18*x^9+24*x^8+28*x^7+20*x^6+18*x^5+14*x^4+12*x^3+8*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315860 4.65717 [(x^10+6*x^9+8*x^8+12*x^7+16*x^6+20*x^5+14*x^4+12*x^3+8*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315860 5.34847 [(x^10+6*x^9+8*x^8+12*x^7+16*x^6+20*x^5+14*x^4+12*x^3+8*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315872 5.22576 [-(2*x^10-x^8-8*x^7-10*x^6-14*x^5-20*x^4-12*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315872 5.93434 [-(2*x^10-x^8-8*x^7-10*x^6-14*x^5-20*x^4-12*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315874 4.74839 [(x^2+x+1)*(x^8+5*x^7+2*x^6+6*x^5+8*x^4+6*x^3+2*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315874 5.37903 [(x^2+x+1)*(x^8+5*x^7+2*x^6+6*x^5+8*x^4+6*x^3+2*x^2+5*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315875 3.84646 [(x^14+4*x^13-x^12+11*x^11-3*x^10+17*x^9-5*x^8+23*x^7-7*x^6+19*x^5-4*x^4+11*x^3-x^2+4*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315886 4.88309 [(x^6+5*x^5+x^4+x^3+x^2+5*x+1)*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315886 6.31666 [(x^6+5*x^5+x^4+x^3+x^2+5*x+1)*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315889 6.35255 [(x^6+5*x^5+2*x^4+6*x^3+2*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315889 7.44546 [(x^6+5*x^5+2*x^4+6*x^3+2*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A315891 3.46214 [-(2*x^17-2*x^16+x^13-7*x^12-2*x^11-8*x^10-2*x^9-11*x^8-7*x^7-9*x^6-9*x^5-4*x^4-6*x^3-2*x^2-5*x-1)/(x+1)/(x^2+1)/(x-1)^2/(x^4+1)^2 ogf] A315892 3.76238 [(x^12+6*x^11+8*x^10+14*x^9+18*x^8+22*x^7+26*x^6+20*x^5+18*x^4+14*x^3+8*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315892 4.65214 [(x^12+6*x^11+8*x^10+14*x^9+18*x^8+22*x^7+26*x^6+20*x^5+18*x^4+14*x^3+8*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315902 3.70504 [-(4*x^14-x^12-10*x^11-8*x^10-18*x^9-17*x^8-20*x^7-18*x^6-20*x^5-17*x^4-14*x^3-8*x^2-6*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315902 4.21839 [-(4*x^14-x^12-10*x^11-8*x^10-18*x^9-17*x^8-20*x^7-18*x^6-20*x^5-17*x^4-14*x^3-8*x^2-6*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315903 3.93400 [-(4*x^16-x^14-10*x^13-4*x^12-18*x^11-22*x^10-26*x^9-30*x^8-34*x^7-26*x^6-26*x^5-18*x^4-14*x^3-8*x^2-6*x-1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315905 3.55458 [-(4*x^14-x^12-10*x^11-4*x^10-22*x^9-18*x^8-30*x^7-26*x^6-26*x^5-18*x^4-14*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315905 4.43197 [-(4*x^14-x^12-10*x^11-4*x^10-22*x^9-18*x^8-30*x^7-26*x^6-26*x^5-18*x^4-14*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315907 5.39799 [(23*f(x)+71)*(f(x)*x^4-f(x)*x^3-x^4-5*x^3-f(x)*x-2*x^2+f(x)-5*x-1) ogf] A315907 9.04338 [(x^2+1)*(x^2+5*x+1)/(x^2+x+1)/(x-1)^2 ogf] A315909 3.44952 [(x^14+6*x^13+8*x^12+14*x^11+20*x^10+24*x^9+28*x^8+32*x^7+26*x^6+24*x^5+20*x^4+14*x^3+8*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315909 4.16817 [(x^14+6*x^13+8*x^12+14*x^11+20*x^10+24*x^9+28*x^8+32*x^7+26*x^6+24*x^5+20*x^4+14*x^3+8*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315913 4.00043 [-(2*x^14+2*x^12-5*x^10-10*x^9-3*x^8-12*x^7-12*x^6-12*x^5-12*x^4-8*x^3-7*x^2-6*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A315913 4.59790 [-(2*x^14+2*x^12-5*x^10-10*x^9-3*x^8-12*x^7-12*x^6-12*x^5-12*x^4-8*x^3-7*x^2-6*x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^2 ogf] A315916 5.24501 [-(4*x^10-x^8-10*x^7-12*x^6-18*x^5-18*x^4-14*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315916 5.95022 [-(4*x^10-x^8-10*x^7-12*x^6-18*x^5-18*x^4-14*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A315925 3.93400 [(x^10+6*x^9+10*x^8+25*x^7+26*x^6+39*x^5+26*x^4+25*x^3+10*x^2+6*x+1)/(x-1)^2/(x^2+1)^2/(x^2+x+1)^2 ogf] A315925 4.69968 [(x^10+6*x^9+10*x^8+25*x^7+26*x^6+39*x^5+26*x^4+25*x^3+10*x^2+6*x+1)/(x-1)^2/(x^2+1)^2/(x^2+x+1)^2 ogf] A315930 3.36396 [(x^12+6*x^11+9*x^10+21*x^9+21*x^8+32*x^7+28*x^6+32*x^5+21*x^4+21*x^3+9*x^2+6*x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315932 4.00093 [-(2*x^19+2*x^17-2*x^13-3*x^12-8*x^11-10*x^10-16*x^9-21*x^8-22*x^7-30*x^6-22*x^5-19*x^4-16*x^3-8*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315941 3.80572 [(x^12+5*x^11+3*x^10+13*x^9+x^8+20*x^7+2*x^6+20*x^5+x^4+13*x^3+3*x^2+5*x+1)/(x^2-x+1)/(x^4+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315942 3.82651 [(x^12+6*x^11+8*x^10+18*x^9+18*x^8+22*x^7+34*x^6+22*x^5+18*x^4+18*x^3+8*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315942 4.73143 [(x^12+6*x^11+8*x^10+18*x^9+18*x^8+22*x^7+34*x^6+22*x^5+18*x^4+18*x^3+8*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315943 7.49111 [(x^6+6*x^5+8*x^4+16*x^3+8*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315943 7.82404 [(x^6+6*x^5+8*x^4+16*x^3+8*x^2+6*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315950 4.59466 [(x^8+3*x^7-4*x^6+8*x^5-4*x^4+8*x^3-4*x^2+3*x+1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A315950 5.30701 [(x^8+3*x^7-4*x^6+8*x^5-4*x^4+8*x^3-4*x^2+3*x+1)/(x^2+x+1)/(x-1)^2/(x^2-x+1)^2 ogf] A315953 4.27878 [(x^14+4*x^13+8*x^11-x^10+12*x^9-2*x^8+19*x^7-2*x^6+12*x^5-x^4+8*x^3+4*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315954 4.09831 [(x^10+4*x^9+8*x^7-x^6+14*x^5-x^4+8*x^3+4*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315954 5.25585 [(x^10+4*x^9+8*x^7-x^6+14*x^5-x^4+8*x^3+4*x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315956 3.74466 [-(6*x^17-7*x^12-6*x^11-15*x^10-5*x^9-21*x^8-15*x^7-18*x^6-15*x^5-9*x^4-11*x^3-9*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315956 4.26983 [-(6*x^17-7*x^12-6*x^11-15*x^10-5*x^9-21*x^8-15*x^7-18*x^6-15*x^5-9*x^4-11*x^3-9*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A315958 4.16817 [-(6*x^17+6*x^14-7*x^12-12*x^11-15*x^10-12*x^9-30*x^8-24*x^7-22*x^6-24*x^5-18*x^4-12*x^3-9*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315959 4.7104 [(x^10+6*x^9+9*x^8+12*x^7+18*x^6+22*x^5+18*x^4+12*x^3+9*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315959 5.40959 [(x^10+6*x^9+9*x^8+12*x^7+18*x^6+22*x^5+18*x^4+12*x^3+9*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315960 4.14214 [-(3*x^13+3*x^12-x^10-9*x^9-15*x^8-18*x^7-24*x^6-22*x^5-21*x^4-12*x^3-9*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315960 4.79023 [-(3*x^13+3*x^12-x^10-9*x^9-15*x^8-18*x^7-24*x^6-22*x^5-21*x^4-12*x^3-9*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315964 3.4085 [(x^15+5*x^14+4*x^13+10*x^12+7*x^11+15*x^10+10*x^9+19*x^8+15*x^7+14*x^6+12*x^5+9*x^4+9*x^3+4*x^2+5*x+1)/(x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A315965 4.07311 [(x^11+5*x^10+4*x^9+10*x^8+7*x^7+14*x^6+12*x^5+9*x^4+9*x^3+4*x^2+5*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A315966 3.89041 [-(x^2-x+1)*(2*x^11+4*x^10+2*x^9-3*x^8-13*x^7-23*x^6-27*x^5-24*x^4-21*x^3-15*x^2-7*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315966 4.79023 [-(x^2-x+1)*(2*x^11+4*x^10+2*x^9-3*x^8-13*x^7-23*x^6-27*x^5-24*x^4-21*x^3-15*x^2-7*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A315967 3.43025 [(x^14+6*x^13+9*x^12+13*x^11+19*x^10+21*x^9+26*x^8+32*x^7+26*x^6+21*x^5+19*x^4+13*x^3+9*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315967 4.14488 [(x^14+6*x^13+9*x^12+13*x^11+19*x^10+21*x^9+26*x^8+32*x^7+26*x^6+21*x^5+19*x^4+13*x^3+9*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315970 3.55458 [(x^2+1)*(x^12+6*x^11+8*x^10+8*x^9+12*x^8+15*x^7+15*x^6+17*x^5+12*x^4+7*x^3+8*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315970 4.16817 [(x^2+1)*(x^12+6*x^11+8*x^10+8*x^9+12*x^8+15*x^7+15*x^6+17*x^5+12*x^4+7*x^3+8*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315972 6.93319 [(x^6+4*x^5+9*x^3+4*x+1)/(x-1)^2/(x^2+1)^2 ogf] A315972 9.59249 [(x^6+4*x^5+9*x^3+4*x+1)/(x-1)^2/(x^2+1)^2 ogf] A315975 3.41098 [(x^14+6*x^13+9*x^12+14*x^11+16*x^10+21*x^9+26*x^8+30*x^7+26*x^6+21*x^5+16*x^4+14*x^3+9*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315975 4.12160 [(x^14+6*x^13+9*x^12+14*x^11+16*x^10+21*x^9+26*x^8+30*x^7+26*x^6+21*x^5+16*x^4+14*x^3+9*x^2+6*x+1)/(x-1)^2/(x^6+x^5+x^4+x^3+x^2+x+1)^2 ogf] A315987 3.86856 [(x^2+x+1)*(x^12+3*x^11-4*x^10+11*x^9-8*x^8+12*x^7-5*x^6+12*x^5-8*x^4+11*x^3-4*x^2+3*x+1)/(x-1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A316011 3.74643 [-(2*x^18-x^12-8*x^11-11*x^10-16*x^9-19*x^8-22*x^7-19*x^6-22*x^5-19*x^4-14*x^3-9*x^2-6*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316011 4.26552 [-(2*x^18-x^12-8*x^11-11*x^10-16*x^9-19*x^8-22*x^7-19*x^6-22*x^5-19*x^4-14*x^3-9*x^2-6*x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316020 5.28415 [-(2*x^10-x^8-8*x^7-11*x^6-16*x^5-20*x^4-14*x^3-9*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316020 6.00064 [-(2*x^10-x^8-8*x^7-11*x^6-16*x^5-20*x^4-14*x^3-9*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316026 6.19692 [(x^2+x+1)*(x^4+4*x^3-2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A316026 7.52959 [(x^2+x+1)*(x^4+4*x^3-2*x^2+4*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A316046 4.53895 [-(3*x^12-4*x^8-9*x^7-8*x^6-12*x^5-12*x^4-9*x^3-8*x^2-6*x-1)/(x^2+x+1)/(x^2-x+1)/(x+1)^2/(x-1)^2 ogf] A316046 5.71029 [-(3*x^12-4*x^8-9*x^7-8*x^6-12*x^5-12*x^4-9*x^3-8*x^2-6*x-1)/(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^2 ogf] A316047 4.72051 [(x^10+5*x^9+3*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+3*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A316047 5.57540 [(x^10+5*x^9+3*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+3*x^2+5*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A316049 3.57444 [(x^12+7*x^11+16*x^10+30*x^9+50*x^8+65*x^7+68*x^6+65*x^5+50*x^4+30*x^3+16*x^2+7*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316050 4.76362 [(x^10+6*x^9+9*x^8+16*x^7+17*x^6+28*x^5+17*x^4+16*x^3+9*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A316050 5.47072 [(x^10+6*x^9+9*x^8+16*x^7+17*x^6+28*x^5+17*x^4+16*x^3+9*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A316056 4.00093 [-(2*x^19+2*x^17-2*x^13-3*x^12-8*x^11-11*x^10-16*x^9-21*x^8-24*x^7-30*x^6-24*x^5-19*x^4-16*x^3-9*x^2-6*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A316062 3.76713 [-(2*x^17-x^12-10*x^11-7*x^10-19*x^9-11*x^8-21*x^7-14*x^6-19*x^5-13*x^4-15*x^3-9*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A316062 4.28908 [-(2*x^17-x^12-10*x^11-7*x^10-19*x^9-11*x^8-21*x^7-14*x^6-19*x^5-13*x^4-15*x^3-9*x^2-6*x-1)/(x^6+x^3+1)/(x-1)^2/(x^2+x+1)^2 ogf] A316064 4.14214 [-(x^13+x^12-x^10-7*x^9-11*x^8-18*x^7-20*x^6-26*x^5-19*x^4-16*x^3-9*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A316064 4.79023 [-(x^13+x^12-x^10-7*x^9-11*x^8-18*x^7-20*x^6-26*x^5-19*x^4-16*x^3-9*x^2-6*x-1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A316066 3.66879 [-(x^17+x^13-x^12-x^10-x^9-8*x^8-9*x^7-16*x^6-15*x^5-16*x^4-15*x^3-9*x^2-6*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A316066 4.39799 [-(x^17+x^13-x^12-x^10-x^9-8*x^8-9*x^7-16*x^6-15*x^5-16*x^4-15*x^3-9*x^2-6*x-1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A316069 4.79023 [(x^10+6*x^9+9*x^8+18*x^7+18*x^6+28*x^5+18*x^4+18*x^3+9*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A316069 5.50128 [(x^10+6*x^9+9*x^8+18*x^7+18*x^6+28*x^5+18*x^4+18*x^3+9*x^2+6*x+1)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A316070 3.80742 [(x^12+5*x^11+3*x^10+10*x^9+8*x^8+8*x^7+14*x^6+8*x^5+8*x^4+10*x^3+3*x^2+5*x+1)/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A316071 3.86927 [(x^12+6*x^11+9*x^10+18*x^9+24*x^8+24*x^7+34*x^6+24*x^5+24*x^4+18*x^3+9*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A316071 4.78430 [(x^12+6*x^11+9*x^10+18*x^9+24*x^8+24*x^7+34*x^6+24*x^5+24*x^4+18*x^3+9*x^2+6*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A316087 10.7176 [(x-1)^3/(x^3-4*x^2+2*x-1) ogf] A316087 15.0921 [(x-1)^3/(x^3-4*x^2+2*x-1) ogf] A316087 6.06158 [(-92+155*f(x))*(f(x)*x^3-4*f(x)*x^2-x^3+2*f(x)*x+3*x^2-f(x)-3*x+1) ogf] A316088 12.467 [(x-1)^4/(x^4-3*x^3+10*x^2-3*x+1) ogf] A316088 4.82059 [(427*f(x)+660)*(f(x)*x^4-3*f(x)*x^3-x^4+10*f(x)*x^2+4*x^3-3*f(x)*x-6*x^2+f(x)+4*x-1) ogf] A316088 8.40799 [(x-1)^4/(x^4-3*x^3+10*x^2-3*x+1) ogf] A316157 6.2279 [(12*x^12-10*x^11+2*x^10-4*x^9-33*x^8+22*x^7-18*x^6-10*x^5+6*x^4-12*x^3-2*x^2-4*x-3)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A316160 14.4115 [2*(2*x^4-5*x^3+2*x^2+5*x-3)/(2*x-1)^3 ogf] A316160 6.14756 [-(15424*f(x)-909035)*(8*f(x)*x^3-4*x^4-12*f(x)*x^2+10*x^3+6*f(x)*x-4*x^2-f(x)-10*x+6) ogf] A316224 11.7552 [3*x*(x^2+10*x+5)/(x-1)^4 ogf] A316224 17.6328 [3*x*(x^2+10*x+5)/(x-1)^4 ogf] A316224 5.95704 [-(25696*f(x)+413307)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x-30*x^2+f(x)-15*x) ogf] A316261 7.68928 [(x^6+x^5-2*x^4-2*x^3+2*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A316316 7.17926 [(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A316316 7.70617 [(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A316317 7.17926 [(x^4+3*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A316317 9.03196 [(x^4+3*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A316319 10.0871 [-(x^2+x+1)*(x^5-x^4-2*x^3-x^2-1)/(x-1)^2 ogf] A316320 15.9537 [(3*x+1)*(x^2+x+1)/(x-1)^2 ogf] A316320 8.13026 [(200*f(x)+73)*(f(x)*x^2-3*x^3-2*f(x)*x-4*x^2+f(x)-4*x-1) ogf] A316341 9.23369 [(23*x^22+5*x^4+1)/(x^23+x^5+x+1) lgdogf] A316349 5.74667 [(x^12+30*x^11-60*x^10+26*x^9-30*x^8-180*x^7+336*x^6-30*x^5+180*x^4+326*x^3+30*x^2+60*x+31)/(x-1)^6/(x^2+x+1)^6 ogf] A316357 6.66279 [-(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A316357 7.37035 [-(x^6+3*x^5+5*x^4+2*x^3+5*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A316358 6.66279 [-(x^4+3*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A316358 8.58608 [-(x^4+3*x^2+1)*(x+1)^2/(x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A316363 8.40776 [f(x)^3*x^2+f(x)^2*x^2+f(x)^2*x-f(x)*x^2+2*f(x)*x-x^2-2*f(x)+x+2 ogf] A316371 10.132 [f(x)^3*x^3+3*f(x)^2*x^2-f(x)*x^2+f(x)*x-f(x)+1 ogf] A316384 4.22663 [-(x^2-x+1)*(x^12+x^11-x^10-x^9-x^8+x^7+3*x^6+x^5-x^4-x^3-x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf_with_Euler_transform] A316386 13.3992 [-x*(2*x^2-1)/(2*x^2-2*x+1)^2 ogf] A316386 15.7813 [-x*(2*x^2-1)/(2*x^2-2*x+1)^2 ogf] A316386 5.33953 [{a(n+4)-4*a(n+3)+8*a(n+2)-8*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=6} ogf] A316386 5.46275 [-(4*f(x)-13)*(4*f(x)*x^4-8*f(x)*x^3+8*f(x)*x^2+2*x^3-4*f(x)*x+f(x)-x) ogf] A316415 4.6037 [(12*x^9+18*x^8+30*x^7+21*x^6-21*x^5-31*x^4-18*x^3-3*x^2+x+4)/(6*x^7+9*x^6+3*x^5-2*x^4-4*x^3-3*x^2-x+1) ogf] A316415 4.85946 [(12*x^9+18*x^8+30*x^7+21*x^6-21*x^5-31*x^4-18*x^3-3*x^2+x+4)/(6*x^7+9*x^6+3*x^5-2*x^4-4*x^3-3*x^2-x+1) ogf] A316422 3.78315 [-(x^9+x^8-x^7+5*x^6+2*x^5+2*x^4-x^3+x^2-3*x-3)*(x^2+x+1)/(x^12+2*x^11+3*x^9+2*x^8+x^7+2*x^6-2*x^5-5*x^3-x+1) ogf] A316422 3.95223 [-(x^9+x^8-x^7+5*x^6+2*x^5+2*x^4-x^3+x^2-3*x-3)*(x^2+x+1)/(x^12+2*x^11+3*x^9+2*x^8+x^7+2*x^6-2*x^5-5*x^3-x+1) ogf] A316457 12.133 [(x^4+26*x^3+336*x^2+326*x+31)/(x-1)^6 ogf] A316457 13.8977 [(x^4+26*x^3+336*x^2+326*x+31)/(x-1)^6 ogf] A316458 16.722 [-60*(x^2+4*x+1)/(x-1)^5 ogf] A316458 20.2425 [-60*(x^2+4*x+1)/(x-1)^5 ogf] A316458 4.29728 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=60,a(1)=540,a(2)=2160,a(3)=6000,a(4)=13500} ogf] A316459 20.7467 [30*(x+1)/(x-1)^4 ogf] A316459 26.2791 [30*(x+1)/(x-1)^4 ogf] A316459 5.59131 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=30,a(1)=150,a(2)=420,a(3)=900} ogf] A316459 6.01812 [(2624*f(x)+111345)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+f(x)-30*x-30) ogf] A316461 29.0986 [9/(x-1)^2 ogf_with_Euler_transform] A316462 28.9699 [10/(x-1)^2 ogf_with_Euler_transform] A316463 29.5372 [-4/(x-1)^2 ogf_with_Euler_transform] A316464 30.0428 [-5/(x-1)^2 ogf_with_Euler_transform] A316466 21.4473 [-4*x*(5*x+2)/(x-1)^3 ogf] A316466 26.6466 [-4*x*(5*x+2)/(x-1)^3 ogf] A316466 7.32783 [-(10535*f(x)-94068)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+20*x^2-f(x)+8*x) ogf] A316466 8.45518 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=8,a(2)=44} ogf] A316513 5.80359 [-(x^7-8*x^6+11*x^5+24*x^4+7*x^3+x^2-17*x-4)/(x^5-x^4-3*x^3-2*x^2-x+1) ogf] A316513 6.21813 [-(x^7-8*x^6+11*x^5+24*x^4+7*x^3+x^2-17*x-4)/(x^5-x^4-3*x^3-2*x^2-x+1) ogf] A316526 4.98266 [2*(840*x^4-8382*x^3+11099*x^2+3702*x+61)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A316526 5.29901 [2*(840*x^4-8382*x^3+11099*x^2+3702*x+61)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1)/(5*x-1) ogf] A316528 12.5874 [-(x^2-x-1)/(2*x-1)/(x^2+x-1) ogf] A316528 14.3541 [-(x^2-x-1)/(2*x-1)/(x^2+x-1) ogf] A316528 7.79222 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A316528 7.94352 [f(x)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)-x-1) ogf] A316562 2.26746 [{-a(n+6)+a(n+5)+a(n+1)-a(n),a(0)=16,a(1)=40,a(2)=64,a(3)=89,a(4)=113,a(5)=138} ogf] A316562 3.16589 [(9*x^5+24*x^4+25*x^3+24*x^2+24*x+16)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A316562 3.42433 [(9*x^5+24*x^4+25*x^3+24*x^2+24*x+16)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A316569 4.90816 [x*(x^6-x^4+2*x^3-x^2+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A316569 5.31296 [x*(x^6-x^4+2*x^3-x^2+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A316571 16.9108 [-(x^4-2*x^3-1)/(x-1)^2 ogf] A316571 20.2104 [-(x^4-2*x^3-1)/(x-1)^2 ogf] A316571 7.02226 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=3,a(3)=6,a(4)=8} ogf] A316571 8.04492 [-(8*f(x)-213)*(x^4+f(x)*x^2-2*x^3-2*f(x)*x+f(x)-1) ogf] A316631 7.66005 [x*(x^2+x+1)*(x^4-x^3+3*x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316631 8.26679 [x*(x^2+x+1)*(x^4-x^3+3*x^2-x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A316662 8.54079 [(4*x^4+3*x^3+3*x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A316666 10.7311 [(exp(x)*x-2*exp(x)+3)*exp(-x)/(x-1)^2 egf] A316671 12.6439 [-(2*x^4-3*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A316671 14.4184 [-(2*x^4-3*x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A316671 4.95091 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=4,a(3)=12,a(4)=11} ogf] A316672 7.46582 [(x^8-x^7-x^6-2*x^5-9*x^4-2*x^3-x^2-x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A316672 8.01377 [(x^8-x^7-x^6-2*x^5-9*x^4-2*x^3-x^2-x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A316679 4.81002 [(1250100*x^10+5834400*x^9-6000900*x^8+1571775*x^7-2301276*x^6+193476*x^5-485076*x^4-68104*x^3-1293*x^2+4704*x+907)/(x-1)/(100*x^3-1) ogf] A316679 5.03907 [(1250100*x^10+5834400*x^9-6000900*x^8+1571775*x^7-2301276*x^6+193476*x^5-485076*x^4-68104*x^3-1293*x^2+4704*x+907)/(x-1)/(100*x^3-1) ogf] A316688 5.01166 [{a(n+6)-a(n+5)-a(n+4)-2*a(n+3),a(0)=4,a(1)=3,a(2)=8,a(3)=9,a(4)=21,a(5)=42} ogf] A316688 8.74127 [(4*x^5+2*x^4+10*x^3-x^2+x-4)/(2*x-1)/(x^2+x+1) ogf] A316688 9.63781 [(4*x^5+2*x^4+10*x^3-x^2+x-4)/(2*x-1)/(x^2+x+1) ogf] A316689 4.43395 [(8*x^10+10*x^9+16*x^8+47*x^7+34*x^6+x^5-30*x^4-36*x^3-12*x^2-3*x+8)/(4*x^7+6*x^6+2*x^5-x^4-5*x^3-2*x^2-x+1) ogf] A316689 4.6658 [(8*x^10+10*x^9+16*x^8+47*x^7+34*x^6+x^5-30*x^4-36*x^3-12*x^2-3*x+8)/(4*x^7+6*x^6+2*x^5-x^4-5*x^3-2*x^2-x+1) ogf] A316690 3.89055 [(30*x^10+60*x^9+57*x^8+272*x^7+436*x^6+15*x^5-147*x^4-193*x^3-35*x^2-8*x+16)/(6*x^7+27*x^6+9*x^5-2*x^4-12*x^3-3*x^2-x+1) ogf] A316690 4.08268 [(30*x^10+60*x^9+57*x^8+272*x^7+436*x^6+15*x^5-147*x^4-193*x^3-35*x^2-8*x+16)/(6*x^7+27*x^6+9*x^5-2*x^4-12*x^3-3*x^2-x+1) ogf] A316699 4.12486 [2*(x^6+2*x^5+3*x^4-x^3-x^2-x-1)*(x^2+x+1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) ogf] A316699 4.37297 [2*(x^6+2*x^5+3*x^4-x^3-x^2-x-1)*(x^2+x+1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) ogf] A316708 10.2938 [-(984*f(x)-143)*(f(x)*x^2-34*f(x)*x+f(x)+5*x-1) ogf] A316708 12.7319 [{a(n+2)-34*a(n+1)+a(n),a(0)=1,a(1)=29} ogf] A316708 21.0353 [-(5*x-1)/(x^2-34*x+1) ogf] A316708 25.4637 [-(5*x-1)/(x^2-34*x+1) ogf] A316709 11.7395 [{a(n+2)-34*a(n+1)+a(n),a(0)=5,a(1)=169} ogf] A316709 19.6509 [-(x-5)/(x^2-34*x+1) ogf] A316709 23.788 [-(x-5)/(x^2-34*x+1) ogf] A316709 9.51519 [-(5736*f(x)-119)*(f(x)*x^2-34*f(x)*x+f(x)+x-5) ogf] A316724 14.6492 [-x*(x^2+22*x+1)/(x+1)^2/(x-1)^3 ogf] A316724 16.8195 [-x*(x^2+22*x+1)/(x+1)^2/(x-1)^3 ogf] A316724 5.4714 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=23,a(3)=26,a(4)=70} ogf] A316725 15.8273 [-x*(x^2+23*x+1)/(x+1)^2/(x-1)^3 ogf] A316725 18.172 [-x*(x^2+23*x+1)/(x+1)^2/(x-1)^3 ogf] A316725 5.91139 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=24,a(3)=27,a(4)=73} ogf] A316726 10.7951 [-(x^2-2)/(x+1)/(x^3-x^2-3*x+1) ogf] A316726 12.2108 [-(x^2-2)/(x+1)/(x^3-x^2-3*x+1) ogf] A316726 6.31237 [{-a(n+4)+2*a(n+3)+4*a(n+2)-a(n),a(0)=2,a(1)=4,a(2)=15,a(3)=46} ogf] A316726 6.83357 [(69*f(x)+64)*(f(x)*x^4-4*f(x)*x^2-2*f(x)*x+x^2+f(x)-2) ogf] A316729 15.9559 [-x*(x^2+26*x+1)/(x+1)^2/(x-1)^3 ogf] A316729 18.3198 [-x*(x^2+26*x+1)/(x+1)^2/(x-1)^3 ogf] A316729 5.95945 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=27,a(3)=30,a(4)=82} ogf] A316742 15.5832 [(x^2-x+1)/(x-1)/(2*x^2-1) ogf] A316742 18.1274 [(x^2-x+1)/(x-1)/(2*x^2-1) ogf] A316742 7.46424 [-(346*f(x)+383)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-x^2+f(x)+x-1) ogf] A316742 8.62374 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A316778 24.1333 [-2*x+exp(2*x) lgdegf] A316779 5.70815 [{-a(n+6)+6*a(n+5)-11*a(n+4)+6*a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=14,a(5)=42} ogf] A316779 8.88588 [-(x^2+2*x-1)*(x^3-2*x^2+3*x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A316779 9.68462 [-(x^2+2*x-1)*(x^3-2*x^2+3*x-1)/(x-1)/(3*x-1)/(2*x-1) ogf] A316803 4.36113 [(116808835*f(x)+2655501)*(3*f(x)*x^4-7*f(x)*x^3+3*f(x)*x^2+3*x^3-8*f(x)*x-3*x^2+f(x)-4) ogf] A316803 4.57919 [{a(n+4)-8*a(n+3)+3*a(n+2)-7*a(n+1)+3*a(n),a(0)=4,a(1)=32,a(2)=247,a(3)=1905} ogf] A316803 8.78201 [-(3*x^3-3*x^2-4)/(3*x^4-7*x^3+3*x^2-8*x+1) ogf] A316803 9.86287 [-(3*x^3-3*x^2-4)/(3*x^4-7*x^3+3*x^2-8*x+1) ogf] A316804 3.73076 [-(30*x^6+25*x^5-106*x^4-87*x^3+25*x^2+8*x+8)/(20*x^7+4*x^6-81*x^5-18*x^4+50*x^3-5*x^2+15*x-1) ogf] A316804 3.96394 [-(30*x^6+25*x^5-106*x^4-87*x^3+25*x^2+8*x+8)/(20*x^7+4*x^6-81*x^5-18*x^4+50*x^3-5*x^2+15*x-1) ogf] A316810 3.10006 [{-a(n+6)+6*a(n+5)+10*a(n+4)-7*a(n+3)-64*a(n+2)-51*a(n+1),a(0)=4,a(1)=32,a(2)=227,a(3)=1603,a(4)=11339,a(5)=80196} ogf] A316810 5.66466 [-(x+1)*(27*x^4+42*x^3+9*x^2-4*x-4)/(51*x^5+64*x^4+7*x^3-10*x^2-6*x+1) ogf] A316810 6.10894 [-(x+1)*(27*x^4+42*x^3+9*x^2-4*x-4)/(51*x^5+64*x^4+7*x^3-10*x^2-6*x+1) ogf] A316869 4.07623 [x^8*(x^62+6*x^21-6*x^20+3*x^11-3*x^10+x-1)/(x^62-6*x^31+6*x^30+3*x^21-3*x^20+2*x^11-2*x^10+x-1) ogf] A316869 4.31426 [x^8*(x^62+6*x^21-6*x^20+3*x^11-3*x^10+x-1)/(x^62-6*x^31+6*x^30+3*x^21-3*x^20+2*x^11-2*x^10+x-1) ogf] A316937 12.53 [-(x^2-x-3)/(2*x-1)/(x^2+x-1) ogf] A316937 14.2886 [-(x^2-x-3)/(2*x-1)/(x^2+x-1) ogf] A316937 6.9021 [-(451*f(x)-65)*(2*f(x)*x^3+f(x)*x^2-3*f(x)*x+x^2+f(x)-x-3) ogf] A316937 7.68347 [{a(n+3)-3*a(n+2)+a(n+1)+2*a(n),a(0)=3,a(1)=10,a(2)=26} ogf] A316945 10.6057 [-x^11*(x^8-2*x^7+x^6+x^5-2*x^4+2*x^3-x^2-1)/(x-1)^2 ogf] A316945 11.5923 [-x^11*(x^8-2*x^7+x^6+x^5-2*x^4+2*x^3-x^2-1)/(x-1)^2 ogf] A316948 5.77159 [(x^6+6*x^4-15*x^3-19*x-1)/(2*x^7+x^6+3*x^5+8*x^4+15*x^3+10*x^2+6*x-1) ogf] A316948 6.22875 [(x^6+6*x^4-15*x^3-19*x-1)/(2*x^7+x^6+3*x^5+8*x^4+15*x^3+10*x^2+6*x-1) ogf] A316955 3.07025 [{-a(n+6)+6*a(n+5)+9*a(n+4)-14*a(n+3)-52*a(n+2)-33*a(n+1),a(0)=4,a(1)=32,a(2)=220,a(3)=1498,a(4)=10243,a(5)=70037} ogf] A316955 5.55965 [-(x+1)*(27*x^4+42*x^3+12*x^2-4*x-4)/(33*x^5+52*x^4+14*x^3-9*x^2-6*x+1) ogf] A316955 5.99146 [-(x+1)*(27*x^4+42*x^3+12*x^2-4*x-4)/(33*x^5+52*x^4+14*x^3-9*x^2-6*x+1) ogf] A316966 13.4079 [-x*(x^3-x+4)/(x+1)^2/(x-1)^3 ogf] A316966 15.4317 [-x*(x^3-x+4)/(x+1)^2/(x-1)^3 ogf] A316966 4.95685 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=4,a(2)=3,a(3)=11,a(4)=10} ogf] A316987 10.962 [-1/2*((x^3+3*x^2-x+1)^(1/2)*(x+1)^(3/2)-x^3-3*x^2-x-1)/x^2 ogf] A316987 11.6544 [-f(x)^2*x^2+f(x)*x^3+3*f(x)*x^2+f(x)*x+f(x)-1 ogf] A317017 22.934 [-(2*x+1)/(x-1)^5 ogf_with_Euler_transform] A317019 21.8845 [-(3*x+1)/(x-1)^5 ogf_with_Euler_transform] A317020 22.695 [-(4*x+1)/(x-1)^5 ogf_with_Euler_transform] A317021 21.3784 [-(5*x+1)/(x-1)^5 ogf_with_Euler_transform] A317027 2.78766 [{a(n+7)-35*a(n+6)+35*a(n+5)-a(n+4),a(0)=9,a(1)=27,a(2)=324,a(3)=8000,a(4)=11025,a(5)=374544,a(6)=12723489} ogf] A317027 4.49938 [(7676*x^6-268345*x^5+257662*x^4+2404*x^3+306*x^2+288*x-9)/(x-1)/(x^2-34*x+1) ogf] A317027 4.83895 [(7676*x^6-268345*x^5+257662*x^4+2404*x^3+306*x^2+288*x-9)/(x-1)/(x^2-34*x+1) ogf] A317067 4.58171 [-(2*x^6+x^5+15*x^4-10*x^3+6*x^2-19*x-1)/(x^8+x^7+2*x^6+5*x^5-x^4-8*x^3-9*x^2-6*x+1) ogf] A317067 4.86806 [-(2*x^6+x^5+15*x^4-10*x^3+6*x^2-19*x-1)/(x^8+x^7+2*x^6+5*x^5-x^4-8*x^3-9*x^2-6*x+1) ogf] A317095 11.1428 [{a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=40} ogf] A317095 13.7428 [-f(x)*x^2+2*f(x)*x-f(x)+40*x ogf] A317095 27.4855 [40*x/(x-1)^2 ogf] A317095 37.4803 [40*x/(x-1)^2 ogf] A317096 18.6165 [-x/(2*x-1)/(x-1)^2 lgdegf] A317107 11.7334 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A317107 13.7821 [-f(x)*x^2+2*f(x)*x-f(x)+x+1 ogf] A317107 26.3113 [(x+1)/(x-1)^2 ogf] A317107 34.7309 [(x+1)/(x-1)^2 ogf] A317108 11.5774 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=4} ogf] A317108 14.5208 [-f(x)*x^2+2*f(x)*x-f(x)+2 ogf] A317108 34.2692 [2/(x-1)^2 ogf] A317108 50.3959 [2/(x-1)^2 ogf] A317111 17.8216 [-6/(x^3-3*x^2+6*x-6) egf] A317111 22.142 [-6/(x^3-3*x^2+6*x-6) egf] A317111 7.30685 [(f(x)-10)*(f(x)*x^3-3*f(x)*x^2+6*f(x)*x-6*f(x)+6) egf] A317133 19.1726 [x/(x^4+4*x^3+6*x^2+3*x+1) revogf] A317135 13.8988 [-1/2*(-2*x+1+(4*x^3-4*x+1)^(1/2))/(x-1)*x revogf] A317163 10.2177 [-(39836854875285071*x-48277590120607451)/(x-1)^2 ogf] A317163 3.75472 [(16881470490644760*f(x)+2401971719335001613674007365581801)*(f(x)*x^2-2*f(x)*x+f(x)+39836854875285071*x-48277590120607451) ogf] A317163 5.88003 [{-a(n+2)+2*a(n+1)-a(n),a(0)=48277590120607451,a(1)=56718325365929831} ogf] A317163 9.03308 [-(39836854875285071*x-48277590120607451)/(x-1)^2 ogf] A317164 10.3439 [-(41978851384246823*x-55837783597462913)/(x-1)^2 ogf] A317164 3.80107 [(27717864426432180*f(x)+3309928079167616960938551445333669)*(f(x)*x^2-2*f(x)*x+f(x)+41978851384246823*x-55837783597462913) ogf] A317164 5.95262 [{-a(n+2)+2*a(n+1)-a(n),a(0)=55837783597462913,a(1)=69696715810679003} ogf] A317164 9.1446 [-(41978851384246823*x-55837783597462913)/(x-1)^2 ogf] A317186 13.3394 [-(x^3+2*x^2+1)/(x+1)/(x-1)^3 ogf] A317186 15.3528 [-(x^3+2*x^2+1)/(x+1)/(x-1)^3 ogf] A317186 6.5621 [-(928*f(x)-1647)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+2*x^2-f(x)+1) ogf] A317186 6.95471 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=6,a(3)=11} ogf] A317188 7.02348 [-(x^4-x^2-1)/(x-1)/(x+1)/(x^6+x^5-x^4+3*x^3-3*x^2+3*x-1) ogf] A317188 7.5586 [-(x^4-x^2-1)/(x-1)/(x+1)/(x^6+x^5-x^4+3*x^3-3*x^2+3*x-1) ogf] A317200 6.10791 [{-a(n+5)+2*a(n+4)-a(n+1),a(0)=0,a(1)=2,a(2)=3,a(3)=4,a(4)=6} ogf] A317200 6.80595 [(f(x)+1)*(f(x)*x^4+2*x^4+2*x^3-2*f(x)*x+x^2+f(x)-2*x) ogf] A317200 8.40735 [-x*(2*x^3+2*x^2+x-2)/(x-1)/(x^3+x^2+x-1) ogf] A317200 9.28084 [-x*(2*x^3+2*x^2+x-2)/(x-1)/(x^3+x^2+x-1) ogf] A317217 3.40424 [-(9*x^9+24*x^7+26*x^6+127*x^5+208*x^4+65*x^3-15*x^2-21*x-1)/(12*x^9+43*x^8+66*x^7+120*x^6+154*x^5+68*x^4-12*x^3-18*x^2-4*x+1) ogf] A317217 3.56635 [-(9*x^9+24*x^7+26*x^6+127*x^5+208*x^4+65*x^3-15*x^2-21*x-1)/(12*x^9+43*x^8+66*x^7+120*x^6+154*x^5+68*x^4-12*x^3-18*x^2-4*x+1) ogf] A317255 10.1784 [-(148113223952262161*x-149836681069944461)/(x-1)^2 ogf] A317255 3.81689 [(3446914235364600*f(x)+22454001298492742567311433357870521)*(f(x)*x^2-2*f(x)*x+f(x)+148113223952262161*x-149836681069944461) ogf] A317255 5.93738 [{-a(n+2)+2*a(n+1)-a(n),a(0)=149836681069944461,a(1)=151560138187626761} ogf] A317255 9.03151 [-(148113223952262161*x-149836681069944461)/(x-1)^2 ogf] A317259 10.1784 [-(127083712123503043*x-136926916457315893)/(x-1)^2 ogf] A317259 3.7943 [(19686408667625700*f(x)+18845869122065958013863620815509949)*(f(x)*x^2-2*f(x)*x+f(x)+127083712123503043*x-136926916457315893) ogf] A317259 5.93738 [{-a(n+2)+2*a(n+1)-a(n),a(0)=136926916457315893,a(1)=146770120791128743} ogf] A317259 9.03151 [-(127083712123503043*x-136926916457315893)/(x-1)^2 ogf] A317276 7.71289 [1/exp(2)*KummerM(3/2,2,4*x/(x-1))*exp(-2*(x+1)/(x-1)) egf] A317297 20.8953 [x*(5*x^2+14*x+5)/(x-1)^4 ogf] A317297 25.2943 [x*(5*x^2+14*x+5)/(x-1)^4 ogf] A317297 6.7689 [(10320*f(x)+61487)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-14*x^2+f(x)-5*x) ogf] A317297 7.06753 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=34,a(3)=111} ogf] A317298 12.9328 [-(x^3+5*x^2+x+1)/(x+1)/(x-1)^3 ogf] A317298 14.748 [-(x^3+5*x^2+x+1)/(x+1)/(x-1)^3 ogf] A317298 6.67169 [(3376*f(x)-15473)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+5*x^2-f(x)+x+1) ogf] A317298 7.12401 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=11,a(3)=21} ogf] A317300 12.6789 [-x*(x^2-4*x+1)/(x+1)^2/(x-1)^3 ogf] A317300 14.5927 [-x*(x^2-4*x+1)/(x+1)^2/(x-1)^3 ogf] A317300 4.77417 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=-3,a(3)=0,a(4)=-8} ogf] A317301 12.6594 [-x*(x^2-3*x+1)/(x+1)^2/(x-1)^3 ogf] A317301 14.5702 [-x*(x^2-3*x+1)/(x+1)^2/(x-1)^3 ogf] A317301 4.73756 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=-2,a(3)=1,a(4)=-5} ogf] A317311 10.0143 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=11,a(3)=3} ogf] A317311 16.9207 [x*(x^2+11*x+1)/(x-1)^2/(x+1)^2 ogf] A317311 19.628 [x*(x^2+11*x+1)/(x-1)^2/(x+1)^2 ogf] A317311 9.43656 [-(11*f(x)+59)*(f(x)*x^4-2*f(x)*x^2-x^3-11*x^2+f(x)-x) ogf] A317312 10.0577 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=12,a(3)=3} ogf] A317312 16.994 [x*(x^2+12*x+1)/(x-1)^2/(x+1)^2 ogf] A317312 19.713 [x*(x^2+12*x+1)/(x-1)^2/(x+1)^2 ogf] A317312 9.56943 [-(8*f(x)+47)*(f(x)*x^4-2*f(x)*x^2-x^3-12*x^2+f(x)-x) ogf] A317313 10.101 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=13,a(3)=3} ogf] A317313 17.0672 [x*(x^2+13*x+1)/(x-1)^2/(x+1)^2 ogf] A317313 19.798 [x*(x^2+13*x+1)/(x-1)^2/(x+1)^2 ogf] A317313 9.51826 [-(13*f(x)+83)*(f(x)*x^4-2*f(x)*x^2-x^3-13*x^2+f(x)-x) ogf] A317314 10.101 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=14,a(3)=3} ogf] A317314 17.0672 [x*(x^2+14*x+1)/(x+1)^2/(x-1)^2 ogf] A317314 19.798 [x*(x^2+14*x+1)/(x-1)^2/(x+1)^2 ogf] A317314 9.42761 [-(28*f(x)+193)*(f(x)*x^4-2*f(x)*x^2-x^3-14*x^2+f(x)-x) ogf] A317315 10.1444 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=15,a(3)=3} ogf] A317315 17.1405 [x*(x^2+15*x+1)/(x-1)^2/(x+1)^2 ogf] A317315 19.883 [x*(x^2+15*x+1)/(x-1)^2/(x+1)^2 ogf] A317315 9.65192 [-(5*f(x)+37)*(f(x)*x^4-2*f(x)*x^2-x^3-15*x^2+f(x)-x) ogf] A317316 10.1444 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=16,a(3)=3} ogf] A317316 17.1405 [x*(x^2+16*x+1)/(x-1)^2/(x+1)^2 ogf] A317316 19.883 [x*(x^2+16*x+1)/(x-1)^2/(x+1)^2 ogf] A317316 9.46808 [-(32*f(x)+253)*(f(x)*x^4-2*f(x)*x^2-x^3-16*x^2+f(x)-x) ogf] A317317 10.1877 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=17,a(3)=3} ogf] A317317 17.2137 [x*(x^2+17*x+1)/(x-1)^2/(x+1)^2 ogf] A317317 19.9679 [x*(x^2+17*x+1)/(x-1)^2/(x+1)^2 ogf] A317317 9.50854 [-(17*f(x)+143)*(f(x)*x^4-2*f(x)*x^2-x^3-17*x^2+f(x)-x) ogf] A317318 10.1877 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=18,a(3)=3} ogf] A317318 17.2137 [x*(x^2+18*x+1)/(x+1)^2/(x-1)^2 ogf] A317318 19.9679 [x*(x^2+18*x+1)/(x-1)^2/(x+1)^2 ogf] A317318 9.50854 [-(12*f(x)+107)*(f(x)*x^4-2*f(x)*x^2-x^3-18*x^2+f(x)-x) ogf] A317319 10.1877 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=19,a(3)=3} ogf] A317319 17.2137 [x*(x^2+19*x+1)/(x-1)^2/(x+1)^2 ogf] A317319 19.9679 [x*(x^2+19*x+1)/(x-1)^2/(x+1)^2 ogf] A317319 9.50854 [-(19*f(x)+179)*(f(x)*x^4-2*f(x)*x^2-x^3-19*x^2+f(x)-x) ogf] A317320 10.2311 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=20,a(3)=3} ogf] A317320 17.287 [x*(x^2+20*x+1)/(x-1)^2/(x+1)^2 ogf] A317320 20.0529 [x*(x^2+20*x+1)/(x-1)^2/(x+1)^2 ogf] A317320 9.549 [-(40*f(x)+397)*(f(x)*x^4-2*f(x)*x^2-x^3-20*x^2+f(x)-x) ogf] A317321 10.2311 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=21,a(3)=3} ogf] A317321 17.287 [x*(x^2+21*x+1)/(x-1)^2/(x+1)^2 ogf] A317321 20.0529 [x*(x^2+21*x+1)/(x-1)^2/(x+1)^2 ogf] A317321 9.73442 [-(7*f(x)+73)*(f(x)*x^4-2*f(x)*x^2-x^3-21*x^2+f(x)-x) ogf] A317322 10.2311 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=22,a(3)=3} ogf] A317322 17.287 [x*(x^2+22*x+1)/(x+1)^2/(x-1)^2 ogf] A317322 20.0529 [x*(x^2+22*x+1)/(x-1)^2/(x+1)^2 ogf] A317322 9.549 [-(44*f(x)+481)*(f(x)*x^4-2*f(x)*x^2-x^3-22*x^2+f(x)-x) ogf] A317323 10.2311 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=23,a(3)=3} ogf] A317323 17.287 [x*(x^2+23*x+1)/(x-1)^2/(x+1)^2 ogf] A317323 20.0529 [x*(x^2+23*x+1)/(x-1)^2/(x+1)^2 ogf] A317323 9.549 [-(23*f(x)+263)*(f(x)*x^4-2*f(x)*x^2-x^3-23*x^2+f(x)-x) ogf] A317324 10.2311 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=24,a(3)=3} ogf] A317324 17.287 [x*(x^2+24*x+1)/(x-1)^2/(x+1)^2 ogf] A317324 20.0529 [x*(x^2+24*x+1)/(x-1)^2/(x+1)^2 ogf] A317324 9.549 [-(16*f(x)+191)*(f(x)*x^4-2*f(x)*x^2-x^3-24*x^2+f(x)-x) ogf] A317325 10.2744 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=25,a(3)=3} ogf] A317325 17.3602 [x*(x^2+25*x+1)/(x-1)^2/(x+1)^2 ogf] A317325 20.1379 [x*(x^2+25*x+1)/(x-1)^2/(x+1)^2 ogf] A317325 9.58946 [-(25*f(x)+311)*(f(x)*x^4-2*f(x)*x^2-x^3-25*x^2+f(x)-x) ogf] A317326 10.2744 [{a(n+4)-2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=26,a(3)=3} ogf] A317326 17.3602 [x*(x^2+26*x+1)/(x+1)^2/(x-1)^2 ogf] A317326 20.1379 [x*(x^2+26*x+1)/(x-1)^2/(x+1)^2 ogf] A317326 9.58946 [-(52*f(x)+673)*(f(x)*x^4-2*f(x)*x^2-x^3-26*x^2+f(x)-x) ogf] A317362 12.3223 [1/exp(-1)*exp(-1/(x+1))/(x+1)^2 lgdegf] A317364 27.2405 [2/(x+1)^2 lgdegf] A317364 7.06234 [{a(n)*n^2+2*a(n+1)*n+a(n)*n+a(n+2),a(0)=1,a(1)=2} ogf] A317365 24.2327 [-x/(x+1)^2 lgdegf] A317365 4.38105 [{a(n)*n^3+2*a(n+1)*n^2+3*a(n)*n^2+a(n+2)*n+4*a(n+1)*n+2*a(n)*n+a(n+2),a(0)=0,a(1)=1} ogf] A317366 8.05454 [-(exp(1)*x-exp(1)-exp(-1/(x-1)))/(x-1)^2/exp(1) lgdegf] A317378 4.34451 [(x+1)*(16*x^8-4*x^7+30*x^6-12*x^5-8*x^4-21*x^3+4*x^2-3*x+4)/(8*x^7+10*x^6+3*x^5-2*x^4-5*x^3-3*x^2-x+1) ogf] A317378 4.58257 [(x+1)*(16*x^8-4*x^7+30*x^6-12*x^5-8*x^4-21*x^3+4*x^2-3*x+4)/(8*x^7+10*x^6+3*x^5-2*x^4-5*x^3-3*x^2-x+1) ogf] A317404 14.2179 [-3*x*(2*x^2-1)/(2*x-1)^2/(x-1)^2 ogf] A317404 16.5392 [-3*x*(2*x^2-1)/(2*x-1)^2/(x-1)^2 ogf] A317404 5.91548 [{a(n+4)-6*a(n+3)+13*a(n+2)-12*a(n+1)+4*a(n),a(0)=0,a(1)=3,a(2)=18,a(3)=63} ogf] A317404 6.00312 [-(38*f(x)-2307)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+6*x^3-6*f(x)*x+f(x)-3*x) ogf] A317405 13.4967 [-(x-1)*(x+1)/(x^2-4*x+1)^2 ogf] A317405 15.7002 [-(x-1)*(x+1)/(x^2-4*x+1)^2 ogf] A317405 5.57472 [{-a(n+4)+8*a(n+3)-18*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=45,a(3)=224} ogf] A317405 5.61541 [-(40113*f(x)-2587)*(f(x)*x^4-8*f(x)*x^3+18*f(x)*x^2-8*f(x)*x+x^2+f(x)-1) ogf] A317408 12.9172 [-x*(x-1)*(x+1)/(x^2-3*x+1)^2 ogf] A317408 14.8669 [-x*(x-1)*(x+1)/(x^2-3*x+1)^2 ogf] A317408 5.83665 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=6,a(3)=24} ogf] A317408 5.92442 [-(125*f(x)-13)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x+f(x)-x) ogf] A317409 5.95501 [(cos(1)*cos(1/(x-1))-sin(1)*sin(1/(x-1)))/(cos(1)^2+sin(1)^2) egf] A317439 11.7334 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=3} ogf] A317439 13.7821 [-f(x)*x^2+2*f(x)*x-f(x)+x+1 ogf] A317439 26.3113 [(x+1)/(x-1)^2 ogf] A317439 34.7309 [(x+1)/(x-1)^2 ogf] A317440 11.5774 [{-a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=4} ogf] A317440 14.5208 [-f(x)*x^2+2*f(x)*x-f(x)+2 ogf] A317440 34.2692 [2/(x-1)^2 ogf] A317440 50.3959 [2/(x-1)^2 ogf] A317451 21.6619 [2*x/(x^2-4*x+1)^2 ogf] A317451 27.6376 [2*x/(x^2-4*x+1)^2 ogf] A317451 5.89332 [{a(n+4)-8*a(n+3)+18*a(n+2)-8*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=16,a(3)=92} ogf] A317451 6.41193 [-(614*f(x)+39)*(f(x)*x^4-8*f(x)*x^3+18*f(x)*x^2-8*f(x)*x+f(x)-2*x) ogf] A317468 5.75705 [(x^35+x^26+x^25+x^24-x^23+x^11+x^2+x+1)/(x^2+x+1)/(x^8+1)/(x^16-x^8+1)/(x-1)^2 ogf] A317468 6.06824 [(x^35+x^26+x^25+x^24-x^23+x^11+x^2+x+1)/(x^2+x+1)/(x^8+1)/(x^16-x^8+1)/(x-1)^2 ogf] A317469 5.12507 [(x^35-x^27+x^26+x^25+2*x^24-x^23+x^11-x^3+x^2+x+2)/(x^2+x+1)/(x^8+1)/(x^16-x^8+1)/(x-1)^2 ogf] A317469 5.37356 [(x^35-x^27+x^26+x^25+2*x^24-x^23+x^11-x^3+x^2+x+2)/(x^2+x+1)/(x^8+1)/(x^16-x^8+1)/(x-1)^2 ogf] A317486 10.3446 [1/6*x^2*(12*x^4-29*x^3-35*x^2+7*x-3)/(x-1)^5 egf] A317486 9.19523 [1/6*x^2*(12*x^4-29*x^3-35*x^2+7*x-3)/(x-1)^5 egf] A317487 17.0351 [-1/4*x^3*(x-4)/(x-1)^4 egf] A317487 20.7183 [-1/4*x^3*(x-4)/(x-1)^4 egf] A317487 5.94247 [{-a(n)*n^2+a(n+1)*n-2*a(n)*n-2*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A317487 5.94247 [{-a(n)*n^2-2*a(n)*n+a(n+1)*n-2*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=6} ogf] A317487 5.98889 [-f(x)*(4*f(x)*x^4-16*f(x)*x^3+x^4+24*f(x)*x^2-4*x^3-16*f(x)*x+4*f(x)) egf] A317499 16.2453 [-1/(x-1)/(3*x^2+3*x+1) ogf] A317499 19.7578 [-1/(x-1)/(3*x^2+3*x+1) ogf] A317499 8.50044 [{-a(n+3)-2*a(n+2)+3*a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A317499 9.02516 [(f(x)-1)*(3*f(x)*x^3-2*f(x)*x-f(x)+1) ogf] A317509 10.1121 [-1/(x-1)/(2*x^4+2*x^3+2*x^2+2*x+1) ogf] A317509 11.6384 [-1/(x-1)/(2*x^4+2*x^3+2*x^2+2*x+1) ogf] A317509 5.60761 [{-a(n+5)-a(n+4)+2*a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-1,a(4)=1} ogf] A317509 7.2569 [-(f(x)-2)*(2*f(x)*x^5-f(x)*x-f(x)+1) ogf] A317512 10.2281 [-(3*x^2+4)/(6*x^3-x^2+8*x-1) ogf] A317512 11.8979 [-(3*x^2+4)/(6*x^3-x^2+8*x-1) ogf] A317512 5.02585 [-(193*f(x)-2307)*(6*f(x)*x^3-f(x)*x^2+8*f(x)*x+3*x^2-f(x)+4) ogf] A317512 5.44859 [{a(n+3)-8*a(n+2)+a(n+1)-6*a(n),a(0)=4,a(1)=32,a(2)=255} ogf] A317513 10.0574 [-8*(4*x^2+1)/(64*x^3-6*x^2+16*x-1) ogf] A317513 4.38401 [-(3*f(x)-4112)*(64*f(x)*x^3-6*f(x)*x^2+16*f(x)*x+32*x^2-f(x)+8) ogf] A317513 4.62098 [{a(n+3)-16*a(n+2)+6*a(n+1)-64*a(n),a(0)=8,a(1)=128,a(2)=2032} ogf] A317513 8.69371 [-8*(4*x^2+1)/(64*x^3-6*x^2+16*x-1) ogf] A317520 11.2471 [-(3*x^3-4)/(3*x^4-x^3+2*x^2-8*x+1) ogf] A317520 4.57919 [-(3554551*f(x)+951963)*(3*f(x)*x^4-f(x)*x^3+2*f(x)*x^2+3*x^3-8*f(x)*x+f(x)-4) ogf] A317520 4.57919 [{a(n+4)-8*a(n+3)+2*a(n+2)-a(n+1)+3*a(n),a(0)=4,a(1)=32,a(2)=248,a(3)=1921} ogf] A317520 9.86287 [-(3*x^3-4)/(3*x^4-x^3+2*x^2-8*x+1) ogf] A317521 3.7584 [-(30*x^6+35*x^5-96*x^4-119*x^3-7*x^2+8*x+8)/(20*x^7+24*x^6-63*x^5-84*x^4-8*x^3+x^2+15*x-1) ogf] A317521 3.99515 [-(30*x^6+35*x^5-96*x^4-119*x^3-7*x^2+8*x+8)/(20*x^7+24*x^6-63*x^5-84*x^4-8*x^3+x^2+15*x-1) ogf] A317527 16.9664 [1/2*x^2*(x-3)/(x-1)^3 egf] A317527 20.6348 [1/2*x^2*(x-3)/(x-1)^3 egf] A317527 6.47023 [{-a(n)*n^2+a(n+1)*n-2*a(n)*n-a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A317527 6.63902 [-(8*f(x)-9)*(2*f(x)*x^3-6*f(x)*x^2-x^3+6*f(x)*x+3*x^2-2*f(x)) egf] A317560 3.08471 [{-a(n+6)+6*a(n+5)+11*a(n+4)-11*a(n+3)-72*a(n+2)-54*a(n+1),a(0)=4,a(1)=32,a(2)=228,a(3)=1619,a(4)=11510,a(5)=81814} ogf] A317560 5.5635 [-(x+1)*(27*x^4+45*x^3+12*x^2-4*x-4)/(54*x^5+72*x^4+11*x^3-11*x^2-6*x+1) ogf] A317560 5.99146 [-(x+1)*(27*x^4+45*x^3+12*x^2-4*x-4)/(54*x^5+72*x^4+11*x^3-11*x^2-6*x+1) ogf] A317592 11.0092 [(f(x)+4901)*(f(x)*x^2-2*f(x)*x+f(x)+98*x-99) ogf] A317592 12.8679 [{-a(n+2)+2*a(n+1)-a(n),a(0)=99,a(1)=100} ogf] A317592 25.4059 [-(98*x-99)/(x-1)^2 ogf] A317592 31.9623 [-(98*x-99)/(x-1)^2 ogf] A317594 11.8586 [{-a(n+2)+2*a(n+1)-a(n),a(0)=999,a(1)=1000} ogf] A317594 22.8495 [-(998*x-999)/(x-1)^2 ogf] A317594 28.3888 [-(998*x-999)/(x-1)^2 ogf] A317594 9.96628 [(f(x)+499001)*(f(x)*x^2-2*f(x)*x+f(x)+998*x-999) ogf] A317613 8.36604 [(x^7+x^5+3*x^3-2*x^2-x+2)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A317613 9.11804 [(x^7+x^5+3*x^3-2*x^2-x+2)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A317614 12.1204 [(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A317614 13.7099 [(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A317614 4.20254 [{-a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=15,a(3)=32,a(4)=65,a(5)=108} ogf] A317618 15.1009 [-3*f(x)^2*x+f(x)^2+x-1 egf] A317618 20.5541 [1/(3*x-1)/(x-1) lgdegf] A317628 4.03566 [-(f(x)*x^2-2*f(x)*x+8218*x^2+f(x)-105436*x-1782)^2 ogf] A317633 11.2154 [(x^3+2*x^2+6*x+1)/(x^2+x+1)/(x-1)^2 ogf] A317633 5.60769 [(5*f(x)+1522)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-2*x^2+f(x)-6*x-1) ogf] A317633 5.84733 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=9,a(3)=11} ogf] A317633 9.91504 [(x^3+2*x^2+6*x+1)/(x^2+x+1)/(x-1)^2 ogf] A317637 21.2284 [-2*x*(x-4)/(x-1)^4 ogf] A317637 26.3747 [-2*x*(x-4)/(x-1)^4 ogf] A317637 6.44714 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=8,a(2)=30,a(3)=72} ogf] A317637 6.54409 [(14121*f(x)+91706)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-8*x) ogf] A317640 10.1847 [x*(8*x^4+x^3+12*x^2+x+8)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A317640 11.1783 [x*(8*x^4+x^3+12*x^2+x+8)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A317640 6.50087 [{-a(n+6)+a(n+4)+a(n+2)-a(n),a(0)=0,a(1)=8,a(2)=1,a(3)=20,a(4)=2,a(5)=36} ogf] A317643 2.67301 [x^2*(2*x^18+3*x^12-2*x^11+3*x^10+x^9+x^8+x^7+x^6-x^5+4*x^4-x^3+2*x+2)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1)/(x^8+1) ogf_with_Euler_transform] A317657 10.3477 [5*(x^3+4*x^2+12*x+3)/(x^2+x+1)/(x-1)^2 ogf] A317657 11.6019 [5*(x^3+4*x^2+12*x+3)/(x^2+x+1)/(x-1)^2 ogf] A317657 5.93588 [-(4*f(x)+4919)*(f(x)*x^4-f(x)*x^3-5*x^3-f(x)*x-20*x^2+f(x)-60*x-15) ogf] A317657 6.32833 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=15,a(1)=75,a(2)=95,a(3)=115} ogf] A317669 10.8004 [(x-1)*(x^2+x+1)/(x^5-x^4+x^3+x-1) ogf] A317669 12.0526 [(x-1)*(x^2+x+1)/(x^5-x^4+x^3+x-1) ogf] A317669 5.69611 [{a(n+5)-a(n+4)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1} ogf] A317669 6.65306 [(2*f(x)-3)^2*(f(x)*x^5-f(x)*x^4+f(x)*x^3-x^3+f(x)*x-f(x)+1) ogf] A317714 13.0598 [-x^2*(x^4+4*x^2+1)/(x+1)^3/(x-1)^5 ogf] A317714 14.8927 [-x^2*(x^4+4*x^2+1)/(x+1)^3/(x-1)^5 ogf] A317728 3.01007 [{-a(n+6)+6*a(n+5)+11*a(n+4)+11*a(n+3)-2*a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=25,a(2)=161,a(3)=1250,a(4)=9541,a(5)=72715} ogf] A317728 6.04907 [-(x^5+3*x^4+2*x^3-19*x-1)/(2*x^6+x^5+2*x^4-11*x^3-11*x^2-6*x+1) ogf] A317728 6.55316 [-(x^5+3*x^4+2*x^3-19*x-1)/(2*x^6+x^5+2*x^4-11*x^3-11*x^2-6*x+1) ogf] A317729 4.28922 [-2*(4*x^5+22*x^4+61*x^3+5*x^2-37*x-1)/(4*x^3-6*x^2-3*x-1)/(4*x^3+3*x^2+15*x-1) ogf] A317729 4.60402 [-2*(4*x^5+22*x^4+61*x^3+5*x^2-37*x-1)/(4*x^3-6*x^2-3*x-1)/(4*x^3+3*x^2+15*x-1) ogf] A317735 3.86079 [{a(n+6)-2*a(n+5)-a(n+4)-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=2,a(4)=4,a(5)=9} ogf] A317735 6.83608 [-x*(x^4+2*x^3+x^2+x-1)/(x-1)/(x^5+2*x^4+3*x^3+2*x^2+x-1) ogf] A317735 7.37756 [-x*(x^4+2*x^3+x^2+x-1)/(x-1)/(x^5+2*x^4+3*x^3+2*x^2+x-1) ogf] A317736 4.14814 [-x*(x^11-x^10-7*x^9+x^8+8*x^7+12*x^6+8*x^5-4*x^3-5*x^2-2*x-1)/(x^3+2*x^2+x+1)/(3*x^7+3*x^6+x^5-3*x^4-2*x^3-x^2+1) ogf] A317736 4.3325 [-x*(x^11-x^10-7*x^9+x^8+8*x^7+12*x^6+8*x^5-4*x^3-5*x^2-2*x-1)/(x^3+2*x^2+x+1)/(3*x^7+3*x^6+x^5-3*x^4-2*x^3-x^2+1) ogf] A317758 4.13855 [(x-1)*(x^2+2*x-1)*(x^6-x^5-4*x^4+x^3+2*x^2-3*x-1)/(x^2-3*x+1)/(x^2+x-1)^3 ogf] A317758 4.40342 [(x-1)*(x^2+2*x-1)*(x^6-x^5-4*x^4+x^3+2*x^2-3*x-1)/(x^2-3*x+1)/(x^2+x-1)^3 ogf] A317759 3.9814 [{-a(n+6)+2*a(n+5)+a(n+4)-a(n+3)-a(n+2),a(0)=2,a(1)=6,a(2)=10,a(3)=20,a(4)=42,a(5)=89} ogf] A317759 7.9628 [(x^5-4*x^3-4*x^2+2*x+2)/(x-1)/(x^3+2*x^2+x-1) ogf] A317759 8.79011 [(x^5-4*x^3-4*x^2+2*x+2)/(x-1)/(x^3+2*x^2+x-1) ogf] A317760 3.86703 [{a(n+6)-2*a(n+5)-a(n+4)+2*a(n+3)+a(n+2)-a(n+1),a(0)=8,a(1)=20,a(2)=28,a(3)=43,a(4)=72,a(5)=127} ogf] A317760 7.42158 [-(8*x^5+6*x^4-17*x^3-20*x^2+4*x+8)/(x-1)/(x^4-2*x^2-x+1) ogf] A317760 8.07402 [-(8*x^5+6*x^4-17*x^3-20*x^2+4*x+8)/(x-1)/(x^4-2*x^2-x+1) ogf] A317761 5.29906 [{-a(n+6)+2*a(n+5)-a(n+2),a(0)=16,a(1)=42,a(2)=52,a(3)=72,a(4)=109,a(5)=177} ogf] A317761 7.46194 [(x^5-19*x^4-32*x^3-32*x^2+10*x+16)/(x-1)/(x^3+x^2+x-1) ogf] A317761 8.12523 [(x^5-19*x^4-32*x^3-32*x^2+10*x+16)/(x-1)/(x^3+x^2+x-1) ogf] A317762 4.64733 [(x^9+6*x^8-42*x^7-70*x^6-74*x^5-33*x^4+98*x^3+110*x^2-25*x-32)/(x-1)/(x^6+x^5+x^4-2*x^2-x+1) ogf] A317762 4.90915 [(x^9+6*x^8-42*x^7-70*x^6-74*x^5-33*x^4+98*x^3+110*x^2-25*x-32)/(x-1)/(x^6+x^5+x^4-2*x^2-x+1) ogf] A317763 4.16549 [(x^10+5*x^9+19*x^8-107*x^7-38*x^6-109*x^5-62*x^4-24*x^3+246*x^2+2*x-64)/(x-1)/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A317763 4.37247 [(x^10+5*x^9+19*x^8-107*x^7-38*x^6-109*x^5-62*x^4-24*x^3+246*x^2+2*x-64)/(x-1)/(x^3+x^2-1)/(x^3-x^2+2*x-1) ogf] A317767 5.34009 [{a(n+6)-a(n+5)-2*a(n+3)+a(n),a(0)=2,a(1)=3,a(2)=4,a(3)=7,a(4)=11,a(5)=18} ogf] A317767 8.52014 [-(x-1)*(x^4+3*x^3+4*x^2+3*x+2)/(x^6-2*x^3-x+1) ogf] A317767 9.36164 [-(x-1)*(x^4+3*x^3+4*x^2+3*x+2)/(x^6-2*x^3-x+1) ogf] A317779 5.42437 [-(x^9+2*x^8+2*x^7-x^6-3*x^5-2*x^4+x^2-1)/(x^10+x^9+x^8-x^7-x^6-x^3-x^2-x+1) ogf] A317779 5.73882 [-(x^9+2*x^8+2*x^7-x^6-3*x^5-2*x^4+x^2-1)/(x^10+x^9+x^8-x^7-x^6-x^3-x^2-x+1) ogf] A317780 17.6367 [1/(x^5-2*x^4+x^3-2*x+1)^2 ogf] A317780 21.4501 [1/(x^5-2*x^4+x^3-2*x+1)^2 ogf] A317781 13.7359 [(x-1)^2/(x^5-2*x^4+x^3-2*x+1)^3 ogf] A317781 15.9786 [(x-1)^2/(x^5-2*x^4+x^3-2*x+1)^3 ogf] A317783 10.1195 [-(x^4+x^3-x+1)/(x^2-x+1)/(x^3+x^2+x-1) ogf] A317783 5.61424 [{a(n+5)-2*a(n+4)+a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3,a(4)=7} ogf] A317783 9.20987 [-(x^4+x^3-x+1)/(x^2-x+1)/(x^3+x^2+x-1) ogf] A317790 4.66158 [{-a(n+6)+2*a(n+5)-a(n+4)+a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=7,a(3)=7,a(4)=13,a(5)=19} ogf] A317790 8.55424 [-(x^5+5*x^4-6*x^3+6*x^2-x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A317790 9.32316 [-(x^5+5*x^4-6*x^3+6*x^2-x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A317793 4.63599 [-(1727495*f(x)-1955636)*(24*f(x)*x^4+14*f(x)*x^3-13*f(x)*x^2+48*x^3-2*f(x)*x+21*x^2+f(x)-13*x-1) ogf] A317793 5.22782 [{-a(n+4)+2*a(n+3)+13*a(n+2)-14*a(n+1)-24*a(n),a(0)=1,a(1)=15,a(2)=22,a(3)=177} ogf] A317793 8.0122 [-(48*x^3+21*x^2-13*x-1)/(4*x-1)/(2*x-1)/(3*x+1)/(x+1) ogf] A317793 8.77527 [-(48*x^3+21*x^2-13*x-1)/(4*x-1)/(2*x-1)/(3*x+1)/(x+1) ogf] A317809 3.59248 [{-a(n+6)+2*a(n+5)+a(n+4)+a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=2,a(3)=3,a(4)=5,a(5)=10} ogf] A317809 6.93597 [-(2*x^3+2*x-1)*(x+1)^2/(x-1)/(x^5+2*x^4+3*x^3+2*x^2+x-1) ogf] A317809 7.53262 [-(2*x^3+2*x-1)*(x+1)^2/(x-1)/(x^5+2*x^4+3*x^3+2*x^2+x-1) ogf] A317817 3.77724 [{a(n+6)-3*a(n+5)-a(n+4)+3*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=16,a(3)=50,a(4)=160,a(5)=511} ogf] A317817 7.39203 [-(2*x^5+3*x^4+3*x^3-2*x-1)/(x^6+2*x^5+3*x^4-x^2-3*x+1) ogf] A317817 8.08775 [-(2*x^5+3*x^4+3*x^3-2*x-1)/(x^6+2*x^5+3*x^4-x^2-3*x+1) ogf] A317849 12.9246 [-(x^2-x+1)/(x^2-3*x+1)/(x-1)^3 ogf] A317849 14.7385 [-(x^2-x+1)/(x^2-3*x+1)/(x-1)^3 ogf] A317849 4.94174 [{a(n+5)-6*a(n+4)+13*a(n+3)-13*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=18,a(3)=56,a(4)=161} ogf] A317857 4.9156 [-(x^3-x^2-x-1)*(2*x^4-3*x^3-3*x^2+x+1)/(x-1)/(x^7-3*x^6+x^5+2*x^3+4*x^2-1) ogf] A317857 5.22044 [-(x^3-x^2-x-1)*(2*x^4-3*x^3-3*x^2+x+1)/(x-1)/(x^7-3*x^6+x^5+2*x^3+4*x^2-1) ogf] A317890 3.6418 [{a(n+6)-2*a(n+5)-a(n+4)-2*a(n+3)-3*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=1,a(3)=2,a(4)=5,a(5)=16} ogf] A317890 7.20529 [x*(x^4+2*x^3+x^2+x-1)/(x^5+3*x^4+2*x^3+x^2+2*x-1) ogf] A317890 7.88343 [x*(x^4+2*x^3+x^2+x-1)/(x^5+3*x^4+2*x^3+x^2+2*x-1) ogf] A317914 3.02592 [(7383988046334900*f(x)+20205849093090693414498483143035429)*(f(x)*x^2-2*f(x)*x+f(x)+138407331356031973*x-142099325379199423) ogf] A317914 4.70698 [{-a(n+2)+2*a(n+1)-a(n),a(0)=142099325379199423,a(1)=145791319402366873} ogf] A317914 7.15991 [-(138407331356031973*x-142099325379199423)/(x-1)^2 ogf] A317914 8.06911 [-(138407331356031973*x-142099325379199423)/(x-1)^2 ogf] A317933 4.65396 [-(3*x^50-8*x^49+14*x^48-6*x^47-x^34-x^33+5*x^32-4*x^31+x^17+x^16-2*x^15-1)/(x-1)/(x^50-2*x^49+4*x^48-x^34+x^33-x^32+x^17-x^16-1) ogf] A317933 4.83558 [-(3*x^50-8*x^49+14*x^48-6*x^47-x^34-x^33+5*x^32-4*x^31+x^17+x^16-2*x^15-1)/(x-1)/(x^50-2*x^49+4*x^48-x^34+x^33-x^32+x^17-x^16-1) ogf] A317945 12.2528 [-(f(x)+1)*(f(x)*x^2-2*f(x)*x+f(x)-1) ogf] A317945 14.0741 [{-a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=2} ogf] A317945 49.5945 [1/(x-1)^2 ogf] A317945 80.1142 [1/(x-1)^2 ogf] A317973 10.3803 [-(2*x^3-x^2-4*x+1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317973 11.5838 [-(2*x^3-x^2-4*x+1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317973 5.58938 [-(95*f(x)-21)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)-4*x+1) ogf] A317973 5.96479 [{-a(n+4)+2*a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=-1,a(1)=2,a(2)=3,a(3)=6} ogf] A317974 11.9925 [-x^2*(x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317974 13.6757 [-x^2*(x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317974 5.90542 [{a(n+4)-2*a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=1} ogf] A317974 6.04275 [(3*f(x)+1)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)) ogf] A317975 10.5842 [-x*(4*x^2+x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317975 11.8869 [-x*(4*x^2+x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317975 5.72331 [(40*f(x)-99)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+4*x^3-2*f(x)*x+x^2+f(x)-x) ogf] A317975 5.85339 [{-a(n+4)+2*a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=0} ogf] A317976 15.206 [-x^2*(2*x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317976 17.3401 [-x^2*(2*x-1)/(x^4-2*x^3-2*x^2-2*x+1) ogf] A317976 7.54494 [{a(n+4)-2*a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=0} ogf] A317976 7.66191 [(2*f(x)+1)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x^2+2*x^3-2*f(x)*x-x^2+f(x)) ogf] A317981 7.49218 [-(x^6-132*x^5-8007*x^4-42272*x^3-42237*x^2-8028*x-125)/(x-1)^8 ogf] A317981 8.18112 [-(x^6-132*x^5-8007*x^4-42272*x^3-42237*x^2-8028*x-125)/(x-1)^8 ogf] A317982 10.2951 [-14*(29*x^4+784*x^3+1974*x^2+784*x+29)/(x-1)^7 ogf] A317982 11.6024 [-14*(29*x^4+784*x^3+1974*x^2+784*x+29)/(x-1)^7 ogf] A317983 12.3808 [420*(x+1)*(x^2+10*x+1)/(x-1)^6 ogf] A317983 14.2855 [420*(x+1)*(x^2+10*x+1)/(x-1)^6 ogf] A317984 16.5718 [-140*(x^2+4*x+1)/(x-1)^5 ogf] A317984 19.9711 [-140*(x^2+4*x+1)/(x-1)^5 ogf] A317984 4.27953 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=140,a(1)=1260,a(2)=5040,a(3)=14000,a(4)=31500} ogf] A317996 32.5751 [exp(-3*x) lgdegf] A318010 10.9838 [-(x^3-2)/(x^4-x^3+2*x^2-4*x+1) ogf] A318010 4.6035 [{a(n+4)-4*a(n+3)+2*a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=8,a(2)=28,a(3)=97} ogf] A318010 4.70734 [-(217*f(x)+151)*(f(x)*x^4-f(x)*x^3+2*f(x)*x^2+x^3-4*f(x)*x+f(x)-2) ogf] A318010 9.63195 [-(x^3-2)/(x^4-x^3+2*x^2-4*x+1) ogf] A318018 5.92084 [-(x^6+2*x^5-x^4-7*x^3-4*x^2+2*x+2)/(x-1)/(x^6-2*x^3-4*x^2-x+1) ogf] A318018 6.37195 [-(x^6+2*x^5-x^4-7*x^3-4*x^2+2*x+2)/(x-1)/(x^6-2*x^3-4*x^2-x+1) ogf] A318026 14.5494 [-(2*x^2+x+1)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A318027 11.3872 [-(2*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A318028 9.34839 [-(2*x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A318031 4.45595 [{-a(n+6)+a(n+5)+4*a(n+3)+a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=6,a(3)=11,a(4)=22,a(5)=46} ogf] A318031 7.10304 [-(x-1)*(x^2+x+2)*(2*x^2+x+1)/(x^6-x^5-4*x^3-x+1) ogf] A318031 7.71406 [-(x-1)*(x^2+x+2)*(2*x^2+x+1)/(x^6-x^5-4*x^3-x+1) ogf] A318039 3.11787 [{a(n+7)-3*a(n+6)+a(n+5)-a(n+4)-a(n+3)+2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=3,a(4)=6,a(5)=17,a(6)=46} ogf] A318039 6.17852 [(x^6-4*x^4-2*x^3-3*x^2-x+1)/(x-1)/(x^5+3*x^4+2*x^3+x^2+2*x-1) ogf] A318039 6.66791 [(x^6-4*x^4-2*x^3-3*x^2-x+1)/(x-1)/(x^5+3*x^4+2*x^3+x^2+2*x-1) ogf] A318054 16.9638 [-x*(2*x^2-3*x+2)/(x-1)^5 ogf] A318054 20.2738 [-x*(2*x^2-3*x+2)/(x-1)^5 ogf] A318054 4.9774 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=7,a(3)=17,a(4)=35} ogf] A318062 4.65024 [-(125*f(x)+66)*(f(x)*x^4+f(x)*x^3-3*f(x)*x^2+x^3-3*f(x)*x+f(x)-2*x-1) ogf] A318062 4.65024 [{a(n+4)-3*a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=18,a(3)=67} ogf] A318062 7.80781 [-(x+1)*(x^2-x-1)/(x^4+x^3-3*x^2-3*x+1) ogf] A318062 8.66346 [-(x+1)*(x^2-x-1)/(x^4+x^3-3*x^2-3*x+1) ogf] A318070 5.01408 [(4*x^9-12*x^8+4*x^7-14*x^6-12*x^5+17*x^4+9*x^3+6*x^2-2*x-4)/(x-1)/(6*x^5-3*x^3-2*x^2-x+1) ogf] A318070 5.32503 [(4*x^9-12*x^8+4*x^7-14*x^6-12*x^5+17*x^4+9*x^3+6*x^2-2*x-4)/(x-1)/(6*x^5-3*x^3-2*x^2-x+1) ogf] A318108 9.54198 [1/(3*x+1)*hypergeom([1/3,2/3],[1],27*x/(3*x+1)^3) ogf] A318109 10.3588 [1/(2*x+1)*hypergeom([1/3,2/3],[1],27*x/(2*x+1)^3) ogf] A318111 10.032 [-(3*x^6-11*x^5+14*x^4-6*x^3-3*x^2+3*x-1)/(x-1)^4 ogf] A318111 11.1624 [-(3*x^6-11*x^5+14*x^4-6*x^3-3*x^2+3*x-1)/(x-1)^4 ogf] A318111 4.37861 [{a(n+7)-4*a(n+6)+6*a(n+5)-4*a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=8,a(4)=15,a(5)=26,a(6)=42} ogf] A318119 8.40175 [40*x^2*(x+1)*(14*x^4+202*x^3+535*x^2+202*x+14)/(x-1)^10 ogf] A318119 9.25256 [40*x^2*(x+1)*(14*x^4+202*x^3+535*x^2+202*x+14)/(x-1)^10 ogf] A318159 18.7264 [(34*x^2+28*x+1)/(x-1)^4 ogf] A318159 23.0067 [(34*x^2+28*x+1)/(x-1)^4 ogf] A318159 5.51531 [(29039409*f(x)+748562303)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-34*x^2+f(x)-28*x-1) ogf] A318159 5.79306 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=32,a(2)=156,a(3)=436} ogf] A318168 6.1306 [2*(5*x^17+x^16+6*x^14-11*x^13-x^12-3*x^4+6*x^3+6*x^2+12*x+9)/(x+1)/(x^2+1)/(x-1)^2 ogf] A318168 6.51376 [2*(5*x^17+x^16+6*x^14-11*x^13-x^12-3*x^4+6*x^3+6*x^2+12*x+9)/(x+1)/(x^2+1)/(x-1)^2 ogf] A318174 11.9853 [hypergeom([5/12,13/12],[2],1728*x) ogf] A318179 32.0082 [exp(-4*x) lgdegf] A318180 30.7816 [exp(-5*x) lgdegf] A318181 32.7135 [exp(-6*x) lgdegf] A318187 3.98963 [(2*f(x)*x-f(x)-2*x+2)^3 ogf] A318200 12.0919 [hypergeom([13/12,17/12],[3],1728*x) ogf] A318201 12.2751 [hypergeom([17/12,25/12],[4],1728*x) ogf] A318215 19.9104 [-(x-1)/(x+1)^3 lgdegf] A318215 3.50844 [{-a(n)*n^3-3*a(n+1)*n^2-3*a(n)*n^2-3*a(n+2)*n-10*a(n+1)*n-2*a(n)*n-a(n+3)-5*a(n+2)-8*a(n+1),a(0)=1,a(1)=1,a(2)=-3} ogf] A318217 3.53889 [-x*(x-1)*(x^8+4*x^7-2*x^6+5*x^5+2*x^3+x^2-1)/(2*x^11-4*x^10-8*x^8+x^7-3*x^6+3*x^5-5*x^4+x^3-x^2+5*x-1) ogf] A318217 3.71258 [-x*(x-1)*(x^8+4*x^7-2*x^6+5*x^5+2*x^3+x^2-1)/(2*x^11-4*x^10-8*x^8+x^7-3*x^6+3*x^5-5*x^4+x^3-x^2+5*x-1) ogf] A318223 33.3575 [1/(2*x+1)^2 lgdegf] A318223 6.35381 [{-4*a(n)*n^2-4*a(n)*n-4*a(n+1)*n-a(n+2)-3*a(n+1),a(0)=1,a(1)=1} ogf] A318223 6.35381 [{-4*a(n)*n^2-4*a(n+1)*n-4*a(n)*n-a(n+2)-3*a(n+1),a(0)=1,a(1)=1} ogf] A318236 14.7222 [-(8*x-5)/(16*x-1)/(x-1) ogf] A318236 17.5264 [-(8*x-5)/(16*x-1)/(x-1) ogf] A318236 7.66781 [-(1149*f(x)+184)*(16*f(x)*x^2-17*f(x)*x+f(x)+8*x-5) ogf] A318236 9.55987 [{a(n+2)-17*a(n+1)+16*a(n),a(0)=5,a(1)=77} ogf] A318267 8.64557 [-x^2*(3*x^4+x^3+6*x^2+3*x+1)/(x-1)^2/(x^2+x-1)^3 ogf] A318267 9.54381 [-x^2*(3*x^4+x^3+6*x^2+3*x+1)/(x-1)^2/(x^2+x-1)^3 ogf] A318268 7.51503 [-2*x^3*(2*x^6+2*x^5+15*x^4+20*x^3+23*x^2+10*x+1)/(x-1)^3/(x^2+x-1)^4 ogf] A318268 8.13482 [-2*x^3*(2*x^6+2*x^5+15*x^4+20*x^3+23*x^2+10*x+1)/(x-1)^3/(x^2+x-1)^4 ogf] A318293 3.63313 [{a(n+6)*n^2+11*a(n+6)*n+a(n+5)*n+30*a(n+6)+5*a(n+5)+a(n+1),a(0)=0,a(1)=1,a(2)=-1/2,a(3)=1/6,a(4)=-1/24,a(5)=1/120} egf] A318338 3.49135 [{-a(n+6)+2*a(n+5)+2*a(n+4)-3*a(n+3)-2*a(n+2)+2*a(n+1),a(0)=4,a(1)=10,a(2)=20,a(3)=36,a(4)=76,a(5)=160} ogf] A318338 6.56789 [-2*(x+1)*(4*x^4-3*x^3-3*x^2-x+2)/(x-1)/(2*x^4-3*x^2-x+1) ogf] A318338 7.13287 [-2*(x+1)*(4*x^4-3*x^3-3*x^2-x+2)/(x-1)/(2*x^4-3*x^2-x+1) ogf] A318339 5.02245 [-(8*x^8+3*x^7-19*x^6-7*x^5+43*x^4+57*x^3+16*x^2-12*x-8)/(x-1)/(x^7-2*x^5+5*x^3+4*x^2-1) ogf] A318339 5.33153 [-(8*x^8+3*x^7-19*x^6-7*x^5+43*x^4+57*x^3+16*x^2-12*x-8)/(x-1)/(x^7-2*x^5+5*x^3+4*x^2-1) ogf] A318356 3.63313 [{a(n+6)*n^2+11*a(n+6)*n+a(n+5)*n+30*a(n+6)+5*a(n+5)-a(n+1),a(0)=0,a(1)=1,a(2)=-1/2,a(3)=1/6,a(4)=-1/24,a(5)=1/120} egf] A318364 13.3945 [-exp(x)/(x-1)^2*(x^2-x-1) lgdegf] A318365 14.1423 [exp(-x)*(x^2-x+1)/(x-1)^2 lgdegf] A318376 10.0503 [-(3*x^3+4*x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A318376 11.1517 [-(3*x^3+4*x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A318376 5.50048 [-(12266*f(x)+5705)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+3*x^3-3*f(x)*x+4*x^2+f(x)+2*x-1) ogf] A318376 6.03016 [{-a(n+4)+3*a(n+3)+6*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=5,a(3)=15} ogf] A318404 4.29747 [{a(n+5)-5*a(n+4)-15*a(n+3)+15*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=12,a(3)=49,a(4)=409} ogf] A318404 7.16245 [-(4*x^4-11*x^3-8*x^2-4*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A318404 7.77202 [-(4*x^4-11*x^3-8*x^2-4*x+1)/(x-1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A318406 10.64 [x*(x-1)*(x+1)*(x^2-x-1)/(2*x^6+2*x^4-4*x^2+1) ogf] A318406 11.6909 [x*(x-1)*(x+1)*(x^2-x-1)/(2*x^6+2*x^4-4*x^2+1) ogf] A318406 6.81267 [{a(n+6)-4*a(n+4)+2*a(n+2)+2*a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=2,a(4)=3,a(5)=7} ogf] A318417 6.02991 [-I*(32*x-1)^(1/2)/((32*x-1)*(-1+16*x))^(1/2)*LegendreP(-1/2,1/(-1+16*x)*(48*x-1)) ogf] A318535 5.56638 [(x^20+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A318535 5.81106 [(x^20+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A318536 5.65146 [(x^11+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A318536 5.89988 [(x^11+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A318540 6.22055 [(x^7-x^6+4*x^5-x^4+2*x^3-3*x^2-3)/(x^2+1)/(x^5+2*x^3+x^2+x-1) ogf] A318540 6.67711 [(x^7-x^6+4*x^5-x^4+2*x^3-3*x^2-3)/(x^2+1)/(x^5+2*x^3+x^2+x-1) ogf] A318609 15.2481 [2*(x-1)/(3*x-1)/(3*x^2+1) ogf] A318609 17.9589 [2*(x-1)/(3*x-1)/(3*x^2+1) ogf] A318609 7.69668 [(16*f(x)-77)*(9*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)-2*x+2) ogf] A318609 7.77068 [{-a(n+3)+3*a(n+2)-3*a(n+1)+9*a(n),a(0)=2,a(1)=4,a(2)=6} ogf] A318610 10.4955 [9*f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+4*x ogf] A318610 17.9589 [-4*x/(3*x-1)/(3*x^2+1) ogf] A318610 21.8419 [-4*x/(3*x-1)/(3*x^2+1) ogf] A318610 7.77068 [{-a(n+3)+3*a(n+2)-3*a(n+1)+9*a(n),a(0)=0,a(1)=4,a(2)=12} ogf] A318618 15.8992 [-2*(x-1)/(x^2-4*x+2) egf] A318618 19.3368 [-2*(x-1)/(x^2-4*x+2) egf] A318618 8.83287 [-f(x)*(f(x)*x^2-4*f(x)*x+2*f(x)+2*x-2) egf] A318624 10.5139 [-x*(3*x^4+4*x^3+11*x^2+8*x+1)/(x^2+x+1)/(x-1)^3 ogf] A318624 4.38546 [{a(n+6)-2*a(n+5)+a(n+4)-a(n+3)+2*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=10,a(3)=30,a(4)=55,a(5)=91} ogf] A318624 9.53583 [-x*(3*x^4+4*x^3+11*x^2+8*x+1)/(x^2+x+1)/(x-1)^3 ogf] A318625 6.67885 [x*(4*x^7+27*x^6+100*x^5+123*x^4+132*x^3+89*x^2+36*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A318625 7.14754 [x*(4*x^7+27*x^6+100*x^5+123*x^4+132*x^3+89*x^2+36*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A318626 5.37543 [-x*(5*x^8+106*x^7+527*x^6+608*x^5+629*x^4+624*x^3+503*x^2+122*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A318626 5.6848 [-x*(5*x^8+106*x^7+527*x^6+608*x^5+629*x^4+624*x^3+503*x^2+122*x+1)/(x^4+x^3+x^2+x+1)/(x-1)^5 ogf] A318765 17.4073 [(x^3-4*x^2+11*x-2)/(x-1)^4 ogf] A318765 20.7229 [(x^3-4*x^2+11*x-2)/(x-1)^4 ogf] A318765 6.08646 [(696*f(x)+2425)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+4*x^2+f(x)-11*x+2) ogf] A318765 6.39973 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=-2,a(1)=3,a(2)=20,a(3)=55} ogf] A318774 10.2328 [{-a(n+4)+a(n+3)+3*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A318774 11.7978 [-(f(x)-2)*(3*f(x)*x^4+f(x)*x-f(x)+1) ogf] A318774 30.3882 [-1/(3*x^4+x-1) ogf] A318774 40.1124 [-1/(3*x^4+x-1) ogf] A318777 10.6351 [(f(x)-2)*(2*f(x)*x^5+f(x)*x-f(x)+1) ogf] A318777 26.1044 [-1/(2*x^5+x-1) ogf] A318777 34.4578 [-1/(2*x^5+x-1) ogf] A318777 7.83131 [{-a(n+5)+a(n+4)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1} ogf] A318778 2.35613 [(x^3-47*x^2-25*x-1)/(x-1)^3 ogf] A318791 14.6765 [-(1763*x^2-3268*x+1523)/(x-1)^3 ogf] A318791 17.2289 [-(1763*x^2-3268*x+1523)/(x-1)^3 ogf] A318791 6.09638 [(2167*f(x)-12415180)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+1763*x^2-f(x)-3268*x+1523) ogf] A318791 7.01353 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1523,a(1)=1301,a(2)=1097} ogf] A318937 99.9999 Evaluated at exp(-Pi) 3*exp(1/2*Pi)*Pi^2*2^(1/2)/GAMMA(3/4)^8 A318941 10.0638 [-x^2*(x+1)*(x-1)^2/(2*x-1)/(x^2-3*x+1) ogf] A318941 11.3024 [-x^2*(x+1)*(x-1)^2/(2*x-1)/(x^2-3*x+1) ogf] A318941 4.96391 [{a(n+6)-5*a(n+5)+7*a(n+4)-2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=4,a(4)=12,a(5)=35} ogf] A318943 3.77128 [{-a(n+8)+7*a(n+7)-17*a(n+6)+16*a(n+5)-4*a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=6,a(5)=21,a(6)=68,a(7)=208} ogf] A318943 8.98588 [-x^3*(3*x^2-x-1)*(x-1)^2/(x^2-3*x+1)/(2*x-1)^2 ogf] A318943 9.97063 [-x^3*(3*x^2-x-1)*(x-1)^2/(x^2-3*x+1)/(2*x-1)^2 ogf] A318944 8.06351 [-x^4*(7*x^3-8*x^2+x+1)*(x-1)^2/(x^2-3*x+1)/(2*x-1)^3 ogf] A318944 8.85991 [-x^4*(7*x^3-8*x^2+x+1)*(x-1)^2/(x^2-3*x+1)/(2*x-1)^3 ogf] A318946 13.7359 [x^3*(x-1)^2/(x^2-3*x+1)/(2*x-1)^2 ogf] A318946 15.9786 [x^3*(x-1)^2/(x^2-3*x+1)/(2*x-1)^2 ogf] A318946 4.71656 [{-a(n+6)+7*a(n+5)-17*a(n+4)+16*a(n+3)-4*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=5,a(5)=19} ogf] A318946 5.79962 [-f(x)*(4*f(x)*x^4-x^5-16*f(x)*x^3+2*x^4+17*f(x)*x^2-x^3-7*f(x)*x+f(x)) ogf] A318947 14.4102 [x^4*(x-1)^3/(x^2-3*x+1)/(2*x-1)^3 ogf] A318947 16.7628 [x^4*(x-1)^3/(x^2-3*x+1)/(2*x-1)^3 ogf] A318972 10.2964 [x*(x^2+x+1)*(2*x^2-x+2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A318972 6.29633 [{a(n+6)-a(n+4)-a(n+2)+a(n),a(0)=0,a(1)=2,a(2)=1,a(3)=5,a(4)=2,a(5)=9} ogf] A318972 9.41065 [x*(x^2+x+1)*(2*x^2-x+2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A318976 11.6707 [2*(x^2+x+1)/(x-1)^2/(x+1)^2 lgdegf] A318976 3.51879 [{a(n+4)*n-2*a(n+2)*n+a(n)*n+4*a(n+4)-2*a(n+3)-6*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=16/3} egf] A318976 3.51879 [{a(n+4)*n-2*a(n+2)*n+a(n)*n+4*a(n+4)-6*a(n+2)-2*a(n+3)-2*a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=16/3} egf] A319006 11.9196 [(x^4-x^3+3*x^2-x+1)/(x^2+1)/(x-1)^4 ogf] A319006 13.3867 [(x^4-x^3+3*x^2-x+1)/(x^2+1)/(x-1)^4 ogf] A319006 4.41692 [{-a(n+6)+4*a(n+5)-7*a(n+4)+8*a(n+3)-7*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8,a(3)=18,a(4)=34,a(5)=57} ogf] A319007 14.2014 [x*(x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A319007 16.345 [x*(x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A319007 4.41981 [{a(n+6)-4*a(n+5)+7*a(n+4)-8*a(n+3)+7*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=5,a(3)=14,a(4)=29,a(5)=51} ogf] A319013 8.58219 [-(exp(x)*x^3-exp(x)*x^2-exp(x)+1)/(x-1)^2 egf] A319014 6.0692 [-(2*x^11-4*x^10+2*x^9+72*x^8-9*x^7-3*x^6+84*x^5+12*x^4+4*x^2+x+1)/(x^2+x+1)^4/(x-1)^5 ogf] A319014 6.45454 [-(2*x^11-4*x^10+2*x^9+72*x^8-9*x^7-3*x^6+84*x^5+12*x^4+4*x^2+x+1)/(x^2+x+1)^4/(x-1)^5 ogf] A319028 5.02928 [16*f(x)^2*x^4-8*f(x)^2*x^3+f(x)^2*x^2+40*f(x)*x^3-50*f(x)*x^2+18*f(x)*x+25*x^2-2*f(x)-14*x+2 ogf] A319054 11.1806 [(x^2+x+1)*(x^3-x^2-x-1)/(3*x^3-1) ogf] A319054 12.5566 [(x^2+x+1)*(x^3-x^2-x-1)/(3*x^3-1) ogf] A319054 7.28733 [{-a(n+6)+3*a(n+3),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=6,a(5)=8} ogf] A319055 11.1806 [-(6*x^8+3*x^6+3*x^4+2*x^2+x+1)/(3*x^3-1) ogf] A319055 12.5566 [-(6*x^8+3*x^6+3*x^4+2*x^2+x+1)/(3*x^3-1) ogf] A319078 8.97783 [(3*x^3-2*x^2+7*x-2)/(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A319106 12.3775 [(x^3+x^2+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf_with_Euler_transform] A319108 27.6584 [-x/(x-1)^2 ogf_with_Euler_transform] A319109 14.2436 [-x*(2*x+1)/(x-1)^2/(x+1)^2 ogf_with_Euler_transform] A319116 3.38757 [-(x^10+x^9-x^8-x^7+x^6+x^5-x^4-x^3+x^2+x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A319116 3.53249 [-(x^10+x^9-x^8-x^7+x^6+x^5-x^4-x^3+x^2+x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A319117 5.60271 [-(x+1)*(x-1)*(x^4+1)*(x^8+1)*(x^17+x^16-x+1)/(x^32+1) ogf] A319117 6.01772 [-(x-1)*(x+1)*(x^4+1)*(x^8+1)*(x^17+x^16-x+1)/(x^32+1) ogf] A319122 13.1137 [ln(2*x^2-1)-ln(x-1) revegf] A319127 10.582 [f(x)*x^4-2*f(x)*x^3+2*f(x)*x+6*x^2-f(x) ogf] A319127 20.9058 [-6*x^2/(x+1)/(x-1)^3 ogf] A319127 25.9739 [-6*x^2/(x+1)/(x-1)^3 ogf] A319127 7.45337 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=6,a(3)=12} ogf] A319128 12.5698 [-x*(x^2+3*x-1)/(x+1)/(x-1)^3 ogf] A319128 14.4671 [-x*(x^2+3*x-1)/(x+1)/(x-1)^3 ogf] A319128 6.23379 [-(135*f(x)-224)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x+3*x^2-f(x)-x) ogf] A319128 6.66745 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=1,a(3)=3} ogf] A319170 12.4127 [3*(40*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A319170 14.1548 [3*(40*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A319170 5.72215 [-(1466471453337*f(x)+250478127800)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-120*x+21) ogf] A319170 6.66796 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=21,a(1)=2211,a(2)=222111} ogf] A319172 13.2197 [(x^2+1)/(x^4-2*x^3-2*x+1) ogf] A319172 15.5699 [(x^2+1)/(x^4-2*x^3-2*x+1) ogf] A319172 5.98843 [{-a(n+4)+2*a(n+3)+2*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5,a(3)=12} ogf] A319172 6.25577 [-(13*f(x)+8)*(f(x)*x^4-2*f(x)*x^3-2*f(x)*x-x^2+f(x)-1) ogf] A319196 10.0192 [(6*f(x)-5)*(4*f(x)*x^2+2*f(x)*x-f(x)-3*x+1) ogf] A319196 11.5085 [{a(n+2)-2*a(n+1)-4*a(n),a(0)=1,a(1)=-1} ogf] A319196 20.7714 [(3*x-1)/(4*x^2+2*x-1) ogf] A319196 25.8069 [(-1+3*x)/(4*x^2+2*x-1) ogf] A319200 16.4171 [-(x-1)*x/(x^3-x^2-x-1) ogf] A319200 19.0974 [-x*(x-1)/(x^3-x^2-x-1) ogf] A319200 8.4304 [-(2*f(x)+1)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2-f(x)-x) ogf] A319200 9.08519 [{-a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=2} ogf] A319201 14.8109 [1-f(x)-f(x)^2*x^2-f(x)^3*x^3 ogf] A319201 19.86 [-x/(x^3+x^2-1) revogf] A319202 11.4561 [-x^3-f(x)*x^2-f(x)^2+f(x)^3 ogf] A319258 7.35028 [(x^8-x^7-2*x^6+13*x^5-x^4+x^3+4*x^2+2*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A319258 7.92677 [(x^8-x^7-2*x^6+13*x^5-x^4+x^3+4*x^2+2*x+1)/(x^2+x+1)^3/(x-1)^4 ogf] A319279 13.7597 [x*(2*x^2+x+3)/(x^2+1)/(x-1)^2 ogf] A319279 15.8366 [x*(2*x^2+x+3)/(x^2+1)/(x-1)^2 ogf] A319279 6.08218 [(384*f(x)+5473)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-2*x^3-2*f(x)*x-x^2+f(x)-3*x) ogf] A319279 6.26374 [{a(n+4)-2*a(n+3)+2*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=7,a(3)=10} ogf] A319280 10.4128 [x*(x^3+4*x^2+3*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A319280 11.5539 [x*(x^3+4*x^2+3*x+4)/(x+1)/(x^2+1)/(x-1)^2 ogf] A319280 6.53826 [{-a(n+5)+a(n+4)+a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=7,a(3)=11,a(4)=12} ogf] A319294 99.9999 Evaluated at exp(-Pi) 768*exp(-2*Pi)/Pi*GAMMA(3/4)^4 A319306 99.9999 Evaluated at exp(-Pi) 1048576*exp(-4*Pi)/Pi^5*GAMMA(3/4)^20 A319307 14.7918 [16*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319307 99.9999 Evaluated at exp(-Pi) 1/16*Pi^4/GAMMA(3/4)^16 A319308 15.6437 [20*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319308 99.9999 Evaluated at exp(-Pi) 1/32*Pi^5/GAMMA(3/4)^20 A319309 13.8479 [24*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319309 99.9999 Evaluated at exp(-Pi) 1/64*Pi^6/GAMMA(3/4)^24 A319310 15.0225 [28*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319310 99.9999 Evaluated at exp(-Pi) 1/128*Pi^7/GAMMA(3/4)^28 A319325 10.7096 [-2*(x+1)*(x-1)^3/(3*x^5-9*x^4+x^3+9*x^2-7*x+1) ogf] A319325 4.57194 [{a(n+5)-7*a(n+4)+9*a(n+3)+a(n+2)-9*a(n+1)+3*a(n),a(0)=2,a(1)=10,a(2)=52,a(3)=276,a(4)=1470} ogf] A319325 9.65187 [-2*(x+1)*(x-1)^3/(3*x^5-9*x^4+x^3+9*x^2-7*x+1) ogf] A319360 14.9555 [(ln(x+1)+1)/(x+1) lgdegf] A319364 5.152 [12*(x^2+x+1)*(6526*x^9+237645*x^6+3589920*x^3+21642390)/(82129*x^12-3002448*x^9+46410840*x^6-303199200*x^3+259708680) egf] A319364 5.42139 [12*(x^2+x+1)*(6526*x^9+237645*x^6+3589920*x^3+21642390)/(82129*x^12-3002448*x^9+46410840*x^6-303199200*x^3+259708680) egf] A319365 3.97257 [{a(n+5)*n-a(n+6)*n+6*a(n+5)+a(n+2)-a(n+1)-6*a(n+6),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=5/4,a(5)=5/4} egf] A319365 3.97257 [{-a(n+6)*n+a(n+5)*n-6*a(n+6)+6*a(n+5)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=5/4,a(5)=5/4} egf] A319365 6.55789 [-12*(x+1)*(x^2+1)*(353*x^8+8608*x^4+69440)/(4453*x^12-109476*x^8+938304*x^4-833280) egf] A319365 7.00249 [-12*(x+1)*(x^2+1)*(353*x^8+8608*x^4+69440)/(4453*x^12-109476*x^8+938304*x^4-833280) egf] A319371 12.0047 [(x^4+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A319371 13.5791 [(x^4+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A319371 6.09062 [{a(n+5)-a(n+4)-a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=6} ogf] A319371 6.6266 [-(56*f(x)-41)*(f(x)*x^4-f(x)*x^3-x^4-f(x)*x-x^2+f(x)-x-1) ogf] A319373 10.4346 [-(x^5-x^4-6*x^3+x+1)/(x-1)/(x^2+1)^3 ogf] A319373 9.35048 [-(x^5-x^4-6*x^3+x+1)/(x-1)/(x^2+1)^3 ogf] A319384 3.68888 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=9,a(3)=21,a(4)=29} ogf] A319384 8.38841 [-(x^2+1)*(x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A319384 9.42083 [-(x^2+1)*(x^2+4*x+1)/(x+1)^2/(x-1)^3 ogf] A319388 6.25574 [-(51*x^22-104*x^21+53*x^20+43*x^19-88*x^18+45*x^17+21*x^9-44*x^8+23*x^7+9*x^2-23*x+16)/(x-1)^3 ogf] A319388 6.6498 [-(51*x^22-104*x^21+53*x^20+43*x^19-88*x^18+45*x^17+21*x^9-44*x^8+23*x^7+9*x^2-23*x+16)/(x-1)^3 ogf] A319389 6.44837 [-(331*x^10-1053*x^9+1119*x^8-270*x^7-417*x^6+459*x^5-169*x^4+8*x^3-31*x^2+44*x-27)/(x-1)^4 ogf] A319389 6.87471 [-(331*x^10-1053*x^9+1119*x^8-270*x^7-417*x^6+459*x^5-169*x^4+8*x^3-31*x^2+44*x-27)/(x-1)^4 ogf] A319390 10.3382 [-(x^4+x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A319390 11.6106 [-(x^4+x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A319390 4.60175 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=6,a(4)=8} ogf] A319451 12.0636 [3*x*(2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A319451 13.6458 [3*x*(2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A319451 7.17578 [(5*f(x)+48)*(f(x)*x^4-f(x)*x^3-6*x^3-f(x)*x-3*x^2+f(x)-3*x) ogf] A319451 7.17578 [{a(n+4)-a(n+3)-a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=6,a(3)=12} ogf] A319452 10.3622 [x*(2*x^3+4*x^2+3*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A319452 11.4978 [x*(2*x^3+4*x^2+3*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A319452 6.50652 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=6,a(3)=10,a(4)=12} ogf] A319455 17.594 [-2*(2*x+1)/(x-1)/(x+1) ogf_with_Euler_transform] A319493 8.0107 [(x+1)*(4*x^6-6*x^5+9*x^4+4*x^3-3*x^2+1)/(x^2+x+1)^3/(x-1)^4 ogf] A319493 8.6998 [(x+1)*(4*x^6-6*x^5+9*x^4+4*x^3-3*x^2+1)/(x^2+x+1)^3/(x-1)^4 ogf] A319512 13.8167 [-(2*x-1)^2/(7*x^3-14*x^2+7*x-1) ogf] A319512 16.2197 [-(2*x-1)^2/(7*x^3-14*x^2+7*x-1) ogf] A319512 6.32292 [-(42*f(x)+43)*(7*f(x)*x^3-14*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-4*x+1) ogf] A319512 7.03872 [{a(n+3)-7*a(n+2)+14*a(n+1)-7*a(n),a(0)=1,a(1)=3,a(2)=11} ogf] A319536 10.571 [2*(exp(x)-1)*exp(-x)/(2*x-1)^2 egf] A319543 5.17808 [(2*x^11-4*x^10+2*x^9-72*x^8+9*x^7+3*x^6+84*x^5+12*x^4-4*x^2-x-1)/(x-1)/(x+1)^4/(x^2-x+1)^4 ogf] A319543 5.48722 [(2*x^11-4*x^10+2*x^9-72*x^8+9*x^7+3*x^6+84*x^5+12*x^4-4*x^2-x-1)/(x-1)/(x+1)^4/(x^2-x+1)^4 ogf] A319552 16.4799 [-3*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319552 99.9999 Evaluated at exp(-Pi) 1/Pi^(3/4)*2^(3/4)*GAMMA(3/4)^3 A319553 16.49 [-8*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319553 99.9999 Evaluated at exp(-Pi) 4/Pi^2*GAMMA(3/4)^8 A319554 14.7368 [-12*(x+2)/(x-1)/(x+1) ogf_with_Euler_transform] A319554 99.9999 Evaluated at exp(-Pi) 8/Pi^3*GAMMA(3/4)^12 A319556 13.2101 [(2*x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A319556 15.5585 [(2*x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A319556 7.07205 [(1120*f(x)+1013)*(f(x)*x^4-2*f(x)*x^2-2*x^2+f(x)+x-1) ogf] A319556 7.14421 [{a(n+4)-2*a(n+2)+a(n),a(0)=1,a(1)=-1,a(2)=4,a(3)=-2} ogf] A319575 13.4531 [-2*x*(x+1)*(7*x^2-4*x+1)/(x-1)^5 ogf] A319575 15.4837 [-2*x*(x+1)*(7*x^2-4*x+1)/(x-1)^5 ogf] A319575 4.9436 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=4,a(3)=6,a(4)=24} ogf] A319576 14.0826 [8*x^2*(3*x^3+3*x^2-3*x+1)/(x-1)^6 ogf] A319576 16.3818 [8*x^2*(3*x^3+3*x^2-3*x+1)/(x-1)^6 ogf] A319576 4.03371 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=8,a(3)=24,a(4)=48,a(5)=112} ogf] A319577 13.9198 [-8*x^3*(5*x^3+9*x^2-9*x+3)/(x-1)^7 ogf] A319577 16.1925 [-8*x^3*(5*x^3+9*x^2-9*x+3)/(x-1)^7 ogf] A319578 14.0993 [hypergeom([4/3,5/3],[2,3],27*x) egf] A319578 4.18952 [{-a(n+2)*n^2+27*a(n+1)*n^2-7*a(n+2)*n+135*a(n+1)*n-12*a(n+2)+168*a(n+1),a(0)=1,a(1)=10} ogf] A319588 4.48393 [-x*(x^6+2*x^5-83*x^4-108*x^3+291*x^2+90*x+15)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1)/(x^4-10*x^2+1) ogf] A319588 4.72796 [-x*(x^6+2*x^5-83*x^4-108*x^3+291*x^2+90*x+15)/(x-1)/(x^2-10*x+1)/(x^2+10*x+1)/(x^4-10*x^2+1) ogf] A319610 16.1967 [x^2*(x^7-x^6+x^5-x^4+x^3-x^2+x-2)/(x-1) ogf] A319610 17.8795 [x^2*(x^7-x^6+x^5-x^4+x^3-x^2+x-2)/(x-1) ogf] A319658 8.84205 [(x^14-x^13+x^8-x^7+x^6-x^5+x^4-x^3+2*x^2-2*x-1)/(x-1) ogf] A319658 9.55656 [(x^14-x^13+x^8-x^7+x^6-x^5+x^4-x^3+2*x^2-2*x-1)/(x-1) ogf] A319667 4.4049 [(899991*f(x)+622600)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+2200*x^2-f(x)-1331*x+22) ogf] A319667 4.95096 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=22,a(1)=1111,a(2)=101101} ogf] A319667 7.78008 [-11*(200*x^2-121*x+2)/(x-1)/(100*x-1)/(10*x-1) ogf] A319667 8.68212 [-11*(200*x^2-121*x+2)/(x-1)/(100*x-1)/(10*x-1) ogf] A319669 20.6596 [-(x+1)/(x-1)^2 ogf_with_Euler_transform] A319674 7.89842 [(x^4+2*x^3-3*x^2-2*x-1)/(x-1)/(x+1)^2/(x^2-x+1)^2 ogf] A319674 8.67851 [(x^4+2*x^3-3*x^2-2*x-1)/(x-1)/(x+1)^2/(x^2-x+1)^2 ogf] A319678 14.2954 [-(270*x^12-270*x^11+18*x^2-18*x-1)/(x-1)^2 ogf] A319678 16.1702 [-(270*x^12-270*x^11+18*x^2-18*x-1)/(x-1)^2 ogf] A319701 10.9008 [{a(n+6)-2*a(n+4)+a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=3,a(5)=5} ogf] A319701 19.4123 [-(x^5+2*x^4-x^2-2*x-1)/(x+1)^2/(x-1)^2 ogf] A319701 21.8015 [-(x^5+2*x^4-x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A319702 11.9687 [{-a(n+5)+2*a(n+3)-a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=2,a(4)=4} ogf] A319702 12.8392 [(2*f(x)+29)*(f(x)*x^4+x^4-2*f(x)*x^2+2*x^3-x^2+f(x)-2*x-1) ogf] A319702 19.3467 [-(x^4+2*x^3-x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A319702 21.7278 [-(x^4+2*x^3-x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A319747 3.82168 [-2*x*(32*x^17-4*x^16-4*x^15-4*x^14-4*x^13-4*x^12-4*x^11-4*x^10-4*x^9+3*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A319747 3.96454 [-2*x*(32*x^17-4*x^16-4*x^15-4*x^14-4*x^13-4*x^12-4*x^11-4*x^10-4*x^9+3*x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A319757 21.5394 [-(x+1)/(x-1)^4 ogf_with_Euler_transform] A319759 2.13146 [(f(x)-1)^2 ogf] A319763 2.13146 [(f(x)-1)^2 ogf] A319777 11.0378 [(x^4+8*x^3+15*x^2+8*x+1)/(x+1)/(x-1)^8 ogf] A319777 12.4621 [(x^4+8*x^3+15*x^2+8*x+1)/(x+1)/(x-1)^8 ogf] A319779 2.3979 [-(f(x)-1)^3 ogf] A319790 2.5526 [-(f(x)-1)^3 ogf] A319791 2.3979 [-(f(x)-1)^3 ogf] A319792 2.16584 [-(f(x)-1)^3 ogf] A319793 2.47525 [-(f(x)-1)^3 ogf] A319795 5.23886 [(x^10-x^9+x^8-5*x^7+2*x^6+3*x^5+3*x^4+2*x^3+3*x^2+2*x+8)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A319795 5.51827 [(x^10-x^9+x^8-5*x^7+2*x^6+3*x^5+3*x^4+2*x^3+3*x^2+2*x+8)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A319822 99.9999 Evaluated at exp(-Pi) 1/8000*GAMMA(5/8)^4*(3+2*2^(1/2))*(5+5^(1/2))^3*5^(1/2)*(2+2^(1/2))^(1/2)/Pi/GAMMA(7/8)^4 A319839 5.78064 [(8*x^12+3*x^10-37*x^9+105*x^8+240*x^7+35*x^6+438*x^5+375*x^4-15*x^3+105*x^2+30*x+9)/(x-1)^4/(x^2+x+1)^4 ogf] A319839 6.10862 [(8*x^12+3*x^10-37*x^9+105*x^8+240*x^7+35*x^6+438*x^5+375*x^4-15*x^3+105*x^2+30*x+9)/(x-1)^4/(x^2+x+1)^4 ogf] A319842 12.8255 [(10*x^2-x-8)/(x+1)/(10*x-1)/(x-1)^2 ogf] A319842 14.5646 [(10*x^2-x-8)/(x+1)/(10*x-1)/(x-1)^2 ogf] A319842 5.57993 [(94901010101*f(x)+789186276900)*(10*f(x)*x^4-11*f(x)*x^3-9*f(x)*x^2+11*f(x)*x-10*x^2-f(x)+x+8) ogf] A319842 6.00916 [{a(n+4)-11*a(n+3)+9*a(n+2)+11*a(n+1)-10*a(n),a(0)=8,a(1)=89,a(2)=897,a(3)=8978} ogf] A319866 13.3689 [2*(4*x^3-x^2+1)/(x+1)^3/(x-1)^4 ogf] A319866 15.3868 [2*(4*x^3-x^2+1)/(x+1)^3/(x-1)^4 ogf] A319867 7.60068 [-3*(24*x^8-5*x^7+x^6+30*x^5+4*x^4-2*x^3+x+1)/(x^2+x+1)^4/(x-1)^5 ogf] A319867 8.21487 [-3*(24*x^8-5*x^7+x^6+30*x^5+4*x^4-2*x^3+x+1)/(x^2+x+1)^4/(x-1)^5 ogf] A319885 11.0767 [2*(4*x^3-x^2-1)/(x-1)/(x^2+1)^3 ogf] A319885 12.6313 [2*(4*x^3-x^2-1)/(x-1)/(x^2+1)^3 ogf] A319886 6.14768 [-3*(24*x^8-5*x^7+x^6-30*x^5-4*x^4+2*x^3+x+1)/(x-1)/(x+1)^4/(x^2-x+1)^4 ogf] A319886 6.59075 [-3*(24*x^8-5*x^7+x^6-30*x^5-4*x^4+2*x^3+x+1)/(x-1)/(x+1)^4/(x^2-x+1)^4 ogf] A319918 25.9405 [1/(2*x-1)/(x-1) ogf_with_Euler_transform] A319919 11.7156 [(2*x^3-1)/(x-1)/(2*x-1)/(x+1)/(2*x^2-1) ogf_with_Euler_transform] A319924 4.86029 [(-(4*x-1)^(3/2)*csgn(I*(4*x-1))+2*I*x^2-2*I*x)/(x-1)/(4*x-1)^(3/2)/csgn(I*(4*x-1)) ogf] A319930 15.7705 [-x^2*(5*x^2-5*x+1)/(x-1)^5 ogf] A319930 18.8476 [-x^2*(5*x^2-5*x+1)/(x-1)^5 ogf] A319930 4.74081 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=0,a(4)=-5} ogf] A319931 11.5005 [-x*(7*x^4-6*x^3-3*x^2+4*x-1)/(x-1)^6 ogf] A319931 13.1146 [-x*(7*x^4-6*x^3-3*x^2+4*x-1)/(x-1)^6 ogf] A319931 3.83351 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=0,a(4)=-4,a(5)=-6} ogf] A319932 10.7363 [-x^2*(11*x^4-12*x^3-3*x^2+7*x-2)/(x-1)^7 ogf] A319932 12.1921 [-x^2*(11*x^4-12*x^3-3*x^2+7*x-2)/(x-1)^7 ogf] A319973 4.82015 [-(x^10+x^8-x^5+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A319973 5.07054 [-(x^10+x^8-x^5+1)/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A319974 10.5489 [-(x^6+x^4-x^3+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A319974 9.74519 [-(x^6+x^4-x^3+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A319980 8.93793 [-(2*x^7-3*x^6-3*x^5-6*x^4-6*x^3-4*x^2-3*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A319980 9.67508 [-(2*x^7-3*x^6-3*x^5-6*x^4-6*x^3-4*x^2-3*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A319981 10.4052 [(x^13+x^5-x^4-x^3-x-1)/(x+1)/(x-1) ogf] A319981 11.5943 [(x^13+x^5-x^4-x^3-x-1)/(x-1)/(x+1) ogf] A319982 6.96161 [(x^19+x^15+x^13+x^11-x^9-x^8-x^7-2*x^6-x^5-2*x^4-2*x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A319982 7.32561 [(x^19+x^15+x^13+x^11-x^9-x^8-x^7-2*x^6-x^5-2*x^4-2*x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A320006 11.337 [-1/(x-1)/(x^2+1)/(x^32+1) ogf] A320006 13.1509 [-1/(x-1)/(x^2+1)/(x^32+1) ogf] A320007 10.6869 [-x*(x^4+x^3+1)/(x+1)/(x-1)/(x^4+1) ogf] A320007 11.858 [-x*(x^4+x^3+1)/(x-1)/(x+1)/(x^4+1) ogf] A320007 6.27273 [{a(n+6)-a(n+4)+a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=1,a(4)=1,a(5)=1} ogf] A320033 5.43705 [(2*x^23+x^21+x^19+x^17-x^14+x^13-x^12-x^11-3*x^9-3*x^8-3*x^7-3*x^6-2*x^5-2*x^4-2*x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A320033 5.66719 [(2*x^23+x^21+x^19+x^17-x^14+x^13-x^12-x^11-3*x^9-3*x^8-3*x^7-3*x^6-2*x^5-2*x^4-2*x^3-x^2-x-1)/(x-1)/(x+1)/(x^2+1) ogf] A320047 10.8041 [-(x^4+6*x^3-8*x^2-6*x-5)/(x+1)^4/(x-1)^4 ogf] A320047 12.1338 [-(x^4+6*x^3-8*x^2-6*x-5)/(x-1)^4/(x+1)^4 ogf] A320049 14.2465 [6*(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A320049 99.9999 Evaluated at exp(-Pi) 1/16*exp(3/4*Pi)*2^(1/4) A320050 14.2316 [7*(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A320050 99.9999 Evaluated at exp(-Pi) 1/32*exp(7/8*Pi)*2^(5/8) A320065 7.74927 [-(x^51+x^50-x^41-x^37-x^36-x^19-x^5-x-1)/(x-1)/(x^50-x^36-1) ogf] A320065 8.27913 [-(x^51+x^50-x^41-x^37-x^36-x^19-x^5-x-1)/(x-1)/(x^50-x^36-1) ogf] A320069 7.69738 [-(2*x^6+x^4-x^3+3*x^2+x+2)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A320069 99.9999 Evaluated at exp(-Pi) 4*Pi^(1/2)*GAMMA(7/8)^2/GAMMA(5/8)^2*(2-2^(1/2))^(1/2)/(2+2^(1/2)) A320070 3.83354 [-(3*x^12-2*x^11+x^10-x^9+5*x^8-3*x^7+4*x^6-x^5+3*x^4-2*x^3+4*x^2-x+2)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1) ogf_with_Euler_transform] A320070 99.9999 Evaluated at exp(-Pi) 32/9*Pi^(15/4)*3^(1/2)*GAMMA(7/8)^8*(2-2^(1/2))^(1/2)/(1+3^(1/2))/GAMMA(5/8)^8/GAMMA(7/12)^3/(17/12+2^(1/2))/GAMMA(11/12)^2/GAMMA(2/3) A320097 5.5944 [-(3*x^5-14*x^4-10*x^3+70*x^2+21*x-1)/(5*x^6-20*x^5-49*x^4+201*x^3+7*x^2-36*x+1) ogf] A320097 6.00126 [-(3*x^5-14*x^4-10*x^3+70*x^2+21*x-1)/(5*x^6-20*x^5-49*x^4+201*x^3+7*x^2-36*x+1) ogf] A320106 4.47723 [-(x^10+x^6+x^5+x^4+1)/(x-1)/(x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A320106 4.71601 [-(x^10+x^6+x^5+x^4+1)/(x-1)/(x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A320124 4.31953 [(4*x^12-4*x^11+4*x^10-2*x^9+5*x^8-4*x^7+9*x^6-5*x^5+4*x^4-x^3+6*x^2-4*x+4)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1) ogf_with_Euler_transform] A320124 99.9999 Evaluated at exp(-Pi) 1/128*2^(3/4)/Pi^2*GAMMA(2/3)/GAMMA(7/8)^5*GAMMA(5/8)^5*GAMMA(7/12)*(2+2^(1/2))^3*(1+3^(1/2)) A320125 8.38939 [(4*x^12+3*x^8-x^7+5*x^4+x^3+4)/(x+1)/(x^4+1)/(x^8+1) ogf_with_Euler_transform] A320126 99.9999 Evaluated at exp(-Pi) 1/6400*2^(1/2)*5^(3/4)*GAMMA(5/8)^4*(3+2*2^(1/2))*(5-5^(1/2))^(3/2)*(2+2^(1/2))^(1/2)*(5^(1/2)+1)^3/Pi/GAMMA(7/8)^4 A320127 4.06393 [(4*x^18+x^14+x^13+2*x^12-2*x^11-x^10-x^9+x^8+x^7+6*x^6+2*x^5-x^4-x^3+4)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1) ogf_with_Euler_transform] A320130 4.50727 [(4*x^28+5*x^24+x^23+2*x^20-2*x^19+3*x^16-x^15+5*x^12+x^11+6*x^8+2*x^7+3*x^4-x^3+4)/(x+1)/(x^4+1)/(x^8+1)/(x^16+1) ogf_with_Euler_transform] A320136 5.27438 [-(4*x^32+8*x^31+3*x^28+7*x^27-22*x^18-6*x^17-26*x^14-10*x^13-15*x^4+5*x^3-20)/(x+1)/(x^4+1)/(x^28+4*x^14+5) ogf_with_Euler_transform] A320138 4.35724 [(4*x^12-2*x^11+x^10-2*x^9+6*x^8-3*x^7+6*x^6-2*x^5+3*x^4-2*x^3+6*x^2-x+2)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1) ogf_with_Euler_transform] A320138 99.9999 Evaluated at exp(-Pi) 1/128/Pi^3*GAMMA(2/3)^2/GAMMA(7/8)^6*GAMMA(5/8)^6*GAMMA(7/12)^2*(7*2^(1/2)+10)*(2+3^(1/2))*2^(1/2)*(2+2^(1/2))^(1/2) A320140 99.9999 Evaluated at exp(-Pi) -128/15*(-3+3^(1/2))*10^(1/4)*(2-2^(1/2))^(9/2)*(5/2+5^(1/2))*Pi^4*GAMMA(7/8)^9/(2+2^(1/2))^(1/2)*(5-5^(1/2))^(3/2)/(5^(1/2)+1)^3/GAMMA(11/12)^2/GAMMA(7/12)^3/GAMMA(5/8)^9/GAMMA(2/3) A320147 99.9999 Evaluated at exp(-Pi) 1/320*2^(1/10)*5^(1/4)*GAMMA(2/3)*GAMMA(7/12)*GAMMA(3/5)^2*GAMMA(7/10)*(1+3^(1/2))*(5+5^(1/2))*(5^(1/2)+1)^2/Pi^(1/2)/GAMMA(3/4)^5/GAMMA(9/10) A320149 8.2609 [(4*x^6+2*x^5-x^4-3*x^3+7*x^2+5*x+2)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A320149 99.9999 Evaluated at exp(-Pi) -1/16/Pi/GAMMA(7/8)^4*GAMMA(5/8)^4*(3+2*2^(1/2))/(2^(1/2)-2)*(2+2^(1/2))^(1/2) A320150 4.50997 [(4*x^12-2*x^11-x^10+9*x^8-5*x^7+x^6+3*x^5+5*x^4-5*x^3+4*x^2+x+2)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1)/(x^4+1) ogf_with_Euler_transform] A320150 99.9999 Evaluated at exp(-Pi) 1/48*3^(3/4)/Pi*GAMMA(2/3)*2^(1/4)/GAMMA(7/8)^3*GAMMA(5/8)^3/GAMMA(11/12)*(2+2^(1/2))^(3/2)/(3^(1/2)-1)/(2^(1/2)-1) A320151 99.9999 Evaluated at exp(-Pi) 1/25600*5^(3/4)*GAMMA(5/8)^4*(3+2*2^(1/2))*2^(1/2)*(5-5^(1/2))^(3/2)*(4+2*2^(1/2))*(5^(1/2)+1)^3/Pi/GAMMA(7/8)^4 A320193 4.76516 [(4*x^14+2*x^13+3*x^12+x^11+x^10-x^9-2*x^7+6*x^6+4*x^5+5*x^4+3*x^3+3*x^2+x+2)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf_with_Euler_transform] A320239 99.9999 Evaluated at exp(-Pi) -1/6400*3^(1/2)*5^(3/4)*Pi^(1/4)*GAMMA(2/3)*GAMMA(7/12)^3*GAMMA(11/12)^2*(1+3^(1/2))^3*(-2+3^(1/2))*(5-5^(1/2))^(3/2)*(5^(1/2)+1)^3/GAMMA(3/4)^8 A320259 10.7959 [-x*(x^2+x+2)/(x^2+x+1)/(x-1)^3 ogf] A320259 4.01556 [{-a(n+5)+2*a(n+4)-a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=5,a(3)=9,a(4)=15} ogf] A320259 9.54424 [-x*(x^2+x+2)/(x^2+x+1)/(x-1)^3 ogf] A320281 3.84538 [{a(n+5)-2*a(n+4)+a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=7,a(3)=18,a(4)=35} ogf] A320281 8.24009 [-x*(5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x-1)^3 ogf] A320281 9.19547 [-x*(5*x^3+5*x^2+5*x+1)/(x^2+x+1)/(x-1)^3 ogf] A320283 5.00622 [-x*(51*x^25-x^24-48*x^23+35*x^17-x^16-32*x^15+19*x^9-x^8-16*x^7+3*x-1)/(x+1)/(x^8+1)/(x^16+1)/(x-1)^2 ogf] A320283 5.25344 [-x*(51*x^25-x^24-48*x^23+35*x^17-x^16-32*x^15+19*x^9-x^8-16*x^7+3*x-1)/(x+1)/(x^8+1)/(x^16+1)/(x-1)^2 ogf] A320326 3.95345 [-4*f(x)^2*x^3-8*f(x)^2*x^2+4*f(x)*x^3-4*f(x)^2*x+8*f(x)*x^2-x^3+f(x)^2+4*f(x)*x-2*x^2-f(x)-x ogf] A320326 6.84414 [1/2*((-4*x^3-8*x^2-4*x+1)^(1/2)+1)/(-4*x^3-8*x^2-4*x+1)^(1/2) ogf] A320331 2.081 [-(2*f(x)*x-f(x)-x+1)^3 ogf] A320346 7.74848 [-(x^2+1)*(x^2+x-1)/(x^8+2*x^7-x^6-2*x^5-3*x^4-6*x^3-x^2-2*x+1) ogf] A320346 8.31718 [-(x^2+1)*(x^2+x-1)/(x^8+2*x^7-x^6-2*x^5-3*x^4-6*x^3-x^2-2*x+1) ogf] A320366 15.1979 [-4/(3*x^3-7*x^2+8*x-1) ogf] A320366 18.8822 [-4/(3*x^3-7*x^2+8*x-1) ogf] A320366 5.71663 [-(1567*f(x)+1782)*(3*f(x)*x^3-7*f(x)*x^2+8*f(x)*x-f(x)+4) ogf] A320366 5.82348 [{a(n+3)-8*a(n+2)+7*a(n+1)-3*a(n),a(0)=4,a(1)=32,a(2)=228} ogf] A320427 6.2542 [-(9*x^6-2*x^5-x^4-2*x^3-x^2-2*x-11)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A320427 6.66431 [-(9*x^6-2*x^5-x^4-2*x^3-x^2-2*x-11)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A320429 12.8534 [-(12*x^3-4*x^2-x-1)/(x-1)/(16*x^3-1) ogf] A320429 14.4855 [-(12*x^3-4*x^2-x-1)/(x-1)/(16*x^3-1) ogf] A320429 7.1296 [-(56*f(x)+19)*(16*f(x)*x^4-16*f(x)*x^3+12*x^3-f(x)*x-4*x^2+f(x)-x-1) ogf] A320429 7.66881 [{-a(n+4)+a(n+3)+16*a(n+1)-16*a(n),a(0)=1,a(1)=2,a(2)=6,a(3)=10} ogf] A320431 10.0506 [-(4*x^7+6*x^6-11*x^5-19*x^4+10*x^3+28*x^2+x+1)/(x+1)^3/(x-1)^3 ogf] A320431 10.9152 [-(4*x^7+6*x^6-11*x^5-19*x^4+10*x^3+28*x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A320432 27.4611 [1-3*exp(x) lgdegf] A320433 26.9006 [1-4*exp(x) lgdegf] A320468 11.3084 [{a(n+2)-a(n+1)-20*a(n),a(0)=1,a(1)=41} ogf] A320468 17.1888 [-(40*x+1)/(4*x+1)/(5*x-1) ogf] A320468 20.4629 [-(40*x+1)/(4*x+1)/(5*x-1) ogf] A320468 9.44439 [(81*f(x)+1600)*(20*f(x)*x^2+f(x)*x-f(x)+40*x+1) ogf] A320469 10.4292 [{-a(n+2)+3*a(n+1)+10*a(n),a(0)=1,a(1)=1} ogf] A320469 17.3819 [(2*x-1)/(2*x+1)/(5*x-1) ogf] A320469 21.1402 [(2*x-1)/(2*x+1)/(5*x-1) ogf] A320469 8.69096 [(179*f(x)-178)*(10*f(x)*x^2+3*f(x)*x-f(x)-2*x+1) ogf] A320492 5.60285 [(x^8+6*x^7+9*x^6+20*x^5+15*x^4+17*x^3+9*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A320492 5.92302 [(x^8+6*x^7+9*x^6+20*x^5+15*x^4+17*x^3+9*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A320493 5.55499 [(x^8+6*x^7+12*x^6+15*x^5+17*x^4+16*x^3+10*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A320493 5.86794 [(x^8+6*x^7+12*x^6+15*x^5+17*x^4+16*x^3+10*x^2+6*x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A320494 5.11866 [-(2*x^9-3*x^8-6*x^7-13*x^6-16*x^5-18*x^4-14*x^3-11*x^2-4*x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A320494 5.38456 [-(2*x^9-3*x^8-6*x^7-13*x^6-16*x^5-18*x^4-14*x^3-11*x^2-4*x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A320524 12.62 [36*f(x)*x^3-6*f(x)*x^2-6*f(x)*x+f(x)-15*x ogf] A320524 21.6734 [15*x/(6*x-1)/(6*x^2-1) ogf] A320524 26.2363 [15*x/(6*x-1)/(6*x^2-1) ogf] A320524 9.40545 [{-a(n+3)+6*a(n+2)+6*a(n+1)-36*a(n),a(0)=0,a(1)=15,a(2)=90} ogf] A320526 7.10339 [-x^3*(9*x^3-8*x^2-2*x+2)/(x-1)/(3*x-1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A320526 7.6446 [-x^3*(9*x^3-8*x^2-2*x+2)/(x-1)/(3*x-1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A320527 8.5186 [x^4*(9*x^2+4*x-4)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x^2-1) ogf] A320527 9.19334 [x^4*(9*x^2+4*x-4)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x^2-1) ogf] A320528 6.29222 [2*x^5*(25*x^4-56*x^3+18*x^2+7*x-3)/(x-1)/(3*x-1)/(5*x-1)/(2*x+1)/(2*x-1)/(4*x-1)/(2*x^2-1)/(5*x^2-1) ogf] A320528 6.62338 [2*x^5*(25*x^4-56*x^3+18*x^2+7*x-3)/(x-1)/(3*x-1)/(5*x-1)/(2*x+1)/(2*x-1)/(4*x-1)/(2*x^2-1)/(5*x^2-1) ogf] A320553 10.2622 [(x+2)/(x^2+x-1)/(x^4+2*x^3+x^2+x-1) ogf] A320553 11.452 [(x+2)/(x^2+x-1)/(x^4+2*x^3+x^2+x-1) ogf] A320553 4.36568 [{a(n+6)-2*a(n+5)-a(n+4)+2*a(n+2)+3*a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=12,a(3)=29,a(4)=66,a(5)=145} ogf] A320554 5.61216 [(x^4+3*x^3-x^2-7*x-5)/(x^4+2*x^3+x^2+x-1)/(x^8+3*x^7-5*x^5-5*x^4-x^3-2*x^2-x+1) ogf] A320554 5.94973 [(x^4+3*x^3-x^2-7*x-5)/(x^4+2*x^3+x^2+x-1)/(x^8+3*x^7-5*x^5-5*x^4-x^3-2*x^2-x+1) ogf] A320577 8.05622 [-(x^5+5*x^4+11*x^3+13*x^2+5*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A320577 8.73464 [-(x^5+5*x^4+11*x^3+13*x^2+5*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A320592 8.59304 [-(x^4-x^2-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A320592 9.36545 [-(x^4-x^2-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A320593 6.70131 [(x^5-x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A320593 7.15952 [(x^5-x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A320594 4.56042 [(x^9-x^8-x^7-x^5+x^3+x^2+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A320594 4.77131 [(x^9-x^8-x^7-x^5+x^3+x^2+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A320604 6.98822 [-(3*x^5+4*x^4+3*x^3+3*x^2+3*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A320604 7.48296 [-(3*x^5+4*x^4+3*x^3+3*x^2+3*x+4)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A320604 8.13052 [{-a(n+6)+a(n),a(0)=4,a(1)=3,a(2)=3,a(3)=3,a(4)=4,a(5)=3} ogf] A320614 6.1865 [-(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A320614 6.58243 [-(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A320657 11.868 [-x^10*(x^3-x^2-1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A320657 13.1511 [-x^10*(x^3-x^2-1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A320660 10.4627 [12*(8*x^3-6*x+1)/(12*x^2+8*x-1)/(4*x^2+4*x-1) ogf] A320660 4.83449 [{-a(n+4)+12*a(n+3)-16*a(n+2)-80*a(n+1)-48*a(n),a(0)=12,a(1)=72,a(2)=672,a(3)=6048} ogf] A320660 4.86806 [(6406*f(x)+107457)*(48*f(x)*x^4+80*f(x)*x^3+16*f(x)*x^2-96*x^3-12*f(x)*x+f(x)+72*x-12) ogf] A320660 9.34668 [12*(8*x^3-6*x+1)/(12*x^2+8*x-1)/(4*x^2+4*x-1) ogf] A320661 13.8021 [-(6*x^2-x+1)/(2*x-1)/(x-1)^2 ogf] A320661 16.0556 [-(6*x^2-x+1)/(2*x-1)/(x-1)^2 ogf] A320661 6.84106 [(849*f(x)-862)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x+6*x^2-f(x)-x+1) ogf] A320661 7.49259 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A320666 2.48191 [x*(x^8-x^7-x^6-x^5-x^3-3*x^2-4*x-2)/(x^2+x+1)^2/(x-1)^3 ogf] A320666 2.6866 [x*(x^8-x^7-x^6-x^5-x^3-3*x^2-4*x-2)/(x^2+x+1)^2/(x-1)^3 ogf] A320674 17.1439 [-2*(x^2+x+1)^2/(2*x^3-1) ogf] A320674 20.489 [-2*(x^2+x+1)^2/(2*x^3-1) ogf] A320674 8.31733 [{-a(n+5)+2*a(n+2),a(0)=2,a(1)=4,a(2)=6,a(3)=8,a(4)=10} ogf] A320674 9.23133 [(f(x)-1)*(2*f(x)*x^3+2*x^4+4*x^3+6*x^2-f(x)+4*x+2) ogf] A320677 11.8901 [6*(2*x^2+3*x+3)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A320689 18.1516 [-(2*x^2-3*x+2)/(x-1) ogf_with_Euler_transform] A320690 18.3096 [-(3*x^2-5*x+3)/(x-1) ogf_with_Euler_transform] A320691 18.6327 [-(4*x^2-7*x+4)/(x-1) ogf_with_Euler_transform] A320692 18.2482 [-(5*x^2-9*x+5)/(x-1) ogf_with_Euler_transform] A320693 18.0701 [-(6*x^2-11*x+6)/(x-1) ogf_with_Euler_transform] A320694 17.5184 [-(7*x^2-13*x+7)/(x-1) ogf_with_Euler_transform] A320695 17.4821 [-(8*x^2-15*x+8)/(x-1) ogf_with_Euler_transform] A320696 17.4417 [-(9*x^2-17*x+9)/(x-1) ogf_with_Euler_transform] A320697 16.7481 [-(10*x^2-19*x+10)/(x-1) ogf_with_Euler_transform] A320753 24.4708 [(-7+6*x)/(x-1) ogf_with_Euler_transform] A320754 23.525 [(-8+7*x)/(x-1) ogf_with_Euler_transform] A320755 24.4702 [(-9+8*x)/(x-1) ogf_with_Euler_transform] A320756 23.6339 [(-10+9*x)/(x-1) ogf_with_Euler_transform] A320758 8.12635 [2*(x^6+12*x^4-10*x^3-6*x^2+4)/(x-1)^3/(x^2+2*x-2)^3 egf] A320758 8.94928 [2*(x^6+12*x^4-10*x^3-6*x^2+4)/(x-1)^3/(x^2+2*x-2)^3 egf] A320770 10.563 [(x+1)*(2*x^2+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A320770 8.57465 [(32*f(x)-49)*(4*f(x)*x^4-2*x^3-2*x^2+f(x)-x-1) ogf] A320770 9.11057 [{a(n+4)+4*a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=2} ogf] A320770 9.46553 [(x+1)*(2*x^2+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A320772 18.561 [-(899*x^2-1550*x+683)/(x-1)^3 ogf] A320772 21.9357 [-(899*x^2-1550*x+683)/(x-1)^3 ogf] A320772 7.59978 [(4672*f(x)-6474651)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+899*x^2-f(x)-1550*x+683) ogf] A320772 8.77429 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=683,a(1)=499,a(2)=347} ogf] A320825 8.74765 [2*(30*x^3-32*x^2+10*x-1)/(4*x-1)/(3*x-1)/(10*x^2-6*x+1) lgdogf] A320826 17.3722 [-6*x/(4*x-1)/(3*x-1) lgdogf] A320826 4.47004 [{-a(n+3)*n+7*a(n+2)*n-12*a(n+1)*n-2*a(n+3)+7*a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=0} ogf] A320827 10.9142 [(12*x^2-6*x+1)/(3*x-1)/(2*x-1)/(4*x-1) lgdogf] A320827 3.2321 [{a(n+4)*n-9*a(n+3)*n+26*a(n+2)*n-24*a(n+1)*n+4*a(n+4)-26*a(n+3)+46*a(n+2)-12*a(n+1),a(0)=-1,a(1)=1,a(2)=1,a(3)=3} ogf] A320827 8.85974 [-9*f(x)^2*x^2+6*f(x)^2*x-16*x^3-f(x)^2+20*x^2-8*x+1 ogf] A320859 13.1912 [(1024*f(x)*x-f(x)+32)^2 ogf] A320860 4.62356 [4*(1024*x+1)*(8462480737302404222943232*x^8-1)/(8462480737302404222943232*x^8+1048576*x^2-1) ogf] A320860 4.94802 [4*(1024*x+1)*(8462480737302404222943232*x^8-1)/(8462480737302404222943232*x^8+1048576*x^2-1) ogf] A320860 7.72704 [(1024*f(x)*x-f(x)+4)*(-4096*x+f(x)-4) ogf] A320861 11.5099 [(1024*f(x)*x-f(x)+512)^2 ogf] A320861 4.17025 [512*(1024*x+1)*(9444731839839383584768*x^5-1048576*x^2-1)/(9444731839839383584768*x^5+1099511627776*x^4-1) ogf] A320861 4.42688 [512*(1024*x+1)*(9444731839839383584768*x^5-1048576*x^2-1)/(9444731839839383584768*x^5+1099511627776*x^4-1) ogf] A320862 3.54723 [{-a(n+5)+1024*a(n+4),a(0)=64,a(1)=65536,a(2)=67108864,a(3)=68719476736,a(4)=604462909807314587353088} ogf] A320862 7.95438 [-64*(9444732964639778799616*x^4+1)/(1024*x-1) ogf] A320862 9.05154 [-64*(9444732964639778799616*x^4+1)/(1024*x-1) ogf] A320863 3.58896 [70368744177664*(1024*x+1)*(9671406556915933886021632*x^4-1)/(9671406556915933886021632*x^4+1048576*x^2-1) ogf] A320863 3.81504 [70368744177664*(1024*x+1)*(9671406556915933886021632*x^4-1)/(9671406556915933886021632*x^4+1048576*x^2-1) ogf] A320863 4.32598 [(1024*f(x)*x-f(x)+70368744177664)*(-72057594037927936*x+f(x)-70368744177664) ogf] A320864 11.417 [(1024*f(x)*x-f(x)+8)^2 ogf] A320864 3.5818 [{a(n+5)-10141204801825835211973625643008*a(n),a(0)=8,a(1)=8192,a(2)=8388608,a(3)=8589934592,a(4)=8796093022208} ogf] A320864 4.34933 [-8*(1099511627776*x^4+1073741824*x^3+1048576*x^2+1024*x+1)/(10141204801825835211973625643008*x^5-1) ogf] A320864 4.6442 [-8*(1099511627776*x^4+1073741824*x^3+1048576*x^2+1024*x+1)/(10141204801825835211973625643008*x^5-1) ogf] A320870 5.11256 [x*(4*x^13-5*x^12+4*x^11-5*x^10+5*x^9-4*x^8+5*x^7-4*x^6+5*x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A320870 5.30458 [x*(4*x^13-5*x^12+4*x^11-5*x^10+5*x^9-4*x^8+5*x^7-4*x^6+5*x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A320907 12.3455 [-x*(x-1)^2/(x^2-3*x+1)/(2*x-1)^3 ogf] A320907 14.209 [-x*(x-1)^2/(x^2-3*x+1)/(2*x-1)^3 ogf] A320907 4.45608 [{-a(n+5)+9*a(n+4)-31*a(n+3)+50*a(n+2)-36*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=7,a(3)=33,a(4)=130} ogf] A320918 11.2722 [-(20*x^2+18*x+3)/(x^3-20*x^2-9*x-1) ogf] A320918 12.8825 [-(20*x^2+18*x+3)/(x^3-20*x^2-9*x-1) ogf] A320918 6.06234 [-(f(x)-37)*(f(x)*x^3-20*f(x)*x^2-9*f(x)*x+20*x^2-f(x)+18*x+3) ogf] A320918 6.80583 [{-a(n+3)-9*a(n+2)-20*a(n+1)+a(n),a(0)=3,a(1)=-9,a(2)=41} ogf] A320919 5.32127 [(7*x^8+x^7+8*x^6+2*x^5+8*x^4+x^3+7*x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A320919 5.66183 [(7*x^8+x^7+8*x^6+2*x^5+8*x^4+x^3+7*x^2+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A320927 2.2758 [-x^3*(x^36-x^35-x^33+x^32-x^27+x^26+x^24+x^21+x^17+x^15+x^12+x^8+x^6+x^3+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1) ogf] A320927 2.35818 [-x^3*(x^36-x^35-x^33+x^32-x^27+x^26+x^24+x^21+x^17+x^15+x^12+x^8+x^6+x^3+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1) ogf] A320933 11.4229 [x^2*(x-2)/(x+1)/(2*x-1)/(x-1)^2 ogf] A320933 4.41907 [-(891*f(x)-943)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2-x^3+3*f(x)*x+2*x^2-f(x)) ogf] A320933 4.58646 [{-a(n+4)+3*a(n+3)-a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=5} ogf] A320933 9.92481 [x^2*(x-2)/(x+1)/(2*x-1)/(x-1)^2 ogf] A320934 10.6357 [-16*f(x)*x^3+4*f(x)*x^2+4*f(x)*x+x^2-f(x) ogf] A320934 17.7986 [x^2/(2*x+1)/(2*x-1)/(4*x-1) ogf] A320934 21.2715 [x^2/(2*x+1)/(2*x-1)/(4*x-1) ogf] A320934 8.46728 [{a(n+3)-4*a(n+2)-4*a(n+1)+16*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A320935 5.75018 [x^2*(25*x^5-49*x^4+18*x^3+10*x^2-7*x+1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(2*x^2-1)/(5*x^2-1) ogf] A320935 6.09606 [x^2*(25*x^5-49*x^4+18*x^3+10*x^2-7*x+1)/(x-1)/(3*x-1)/(2*x-1)/(5*x-1)/(2*x^2-1)/(5*x^2-1) ogf] A320936 3.52164 [x^2*(378*x^8-882*x^7+364*x^6+376*x^5-308*x^4+18*x^3+40*x^2-12*x+1)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A320936 3.66686 [x^2*(378*x^8-882*x^7+364*x^6+376*x^5-308*x^4+18*x^3+40*x^2-12*x+1)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1)/(4*x-1)/(6*x^2-1)/(3*x^2-1)/(2*x^2-1) ogf] A320947 11.1813 [-(x^4+2*x^3+x^2-2*x-1)/(x^2+x-1)^2 ogf] A320947 12.6477 [-(x^4+2*x^3+x^2-2*x-1)/(x^2+x-1)^2 ogf] A320947 4.94558 [{-a(n+5)+2*a(n+4)+a(n+3)-2*a(n+2)-a(n+1),a(0)=1,a(1)=4,a(2)=8,a(3)=16,a(4)=30} ogf] A320947 5.17792 [-(1+3*f(x))*(f(x)*x^4+2*f(x)*x^3+x^4-f(x)*x^2+2*x^3-2*f(x)*x+x^2+f(x)-2*x-1) ogf] A321002 14.8309 [(x-1)*(2*x-3)/(6*x-1)/(2*x-1) ogf] A321002 17.2523 [(x-1)*(2*x-3)/(6*x-1)/(2*x-1) ogf] A321002 8.62615 [{-a(n+3)+8*a(n+2)-12*a(n+1),a(0)=3,a(1)=19,a(2)=118} ogf] A321002 8.71508 [(84*f(x)+109)*(12*f(x)*x^2-8*f(x)*x-2*x^2+f(x)+5*x-3) ogf] A321003 14.4459 [-(2*x-3)/(6*x-1)/(2*x-1) ogf] A321003 17.2646 [-(2*x-3)/(6*x-1)/(2*x-1) ogf] A321003 8.04374 [(26*f(x)+43)*(12*f(x)*x^2-8*f(x)*x+f(x)+2*x-3) ogf] A321003 9.3138 [{-a(n+2)+8*a(n+1)-12*a(n),a(0)=3,a(1)=22} ogf] A321012 4.81542 [-(3986*x^8+631*x^7+2510*x^6+652*x^5+897162*x^4+197325*x^3+103425*x^2+3216*x+596)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A321012 5.05771 [-(3986*x^8+631*x^7+2510*x^6+652*x^5+897162*x^4+197325*x^3+103425*x^2+3216*x+596)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A321019 10.8241 [(x+1)*(x^6-x^5-2*x^4-4*x^2-x-1)/(x^2+1)/(x-1)^3 ogf] A321019 9.89298 [(x+1)*(x^6-x^5-2*x^4-4*x^2-x-1)/(x^2+1)/(x-1)^3 ogf] A321025 11.6391 [-(4*x^4+7*x^3+6*x^2+5*x+4)/(x^5+x^4-1) ogf] A321025 13.0716 [-(4*x^4+7*x^3+6*x^2+5*x+4)/(x^5+x^4-1) ogf] A321025 7.72412 [{-a(n+5)+a(n+1)+a(n),a(0)=4,a(1)=5,a(2)=6,a(3)=7,a(4)=8} ogf] A321045 14.0569 [(3*x^2+14*x-1)/(18*x^2+15*x-1) ogf] A321045 16.6127 [(3*x^2+14*x-1)/(18*x^2+15*x-1) ogf] A321045 7.30959 [(-764+765*f(x))*(18*f(x)*x^2+15*f(x)*x-3*x^2-f(x)-14*x+1) ogf] A321045 7.53566 [{-a(n+3)+15*a(n+2)+18*a(n+1),a(0)=1,a(1)=1,a(2)=30} ogf] A321048 10.112 [x*(x-2)/(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A321048 5.52214 [{-a(n+6)+2*a(n+5)-2*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=3,a(3)=6,a(4)=12,a(5)=24} ogf] A321048 9.16025 [x*(x-2)/(x-1)/(x+1)/(x^4-2*x^3+x^2-2*x+1) ogf] A321119 11.4479 [2*(x-1)*(x^2-3*x-2)/(x^4-4*x^2+1) ogf] A321119 12.9493 [2*(x-1)*(x^2-3*x-2)/(x^4-4*x^2+1) ogf] A321119 7.38229 [-(66*f(x)-53)*(f(x)*x^4-4*f(x)*x^2-2*x^3+8*x^2+f(x)-2*x-4) ogf] A321119 7.97884 [{-a(n+4)+4*a(n+2)-a(n),a(0)=4,a(1)=2,a(2)=8,a(3)=10} ogf] A321122 3.91233 [-(9*x^14-2*x^13-24*x^11+36*x^10-32*x^9-336*x^8-256*x^7+164*x^6-96*x^5-36*x^4-8*x^3-3*x^2-2*x-4)/(x^4-4*x^2+1)/(x^8+4*x^6+15*x^4+4*x^2+1) ogf] A321122 4.0745 [-(9*x^14-2*x^13-24*x^11+36*x^10-32*x^9-336*x^8-256*x^7+164*x^6-96*x^5-36*x^4-8*x^3-3*x^2-2*x-4)/(x^4-4*x^2+1)/(x^8+4*x^6+15*x^4+4*x^2+1) ogf] A321123 14.0436 [-(3*x^3+3*x-2)/(2*x-1)/(x-1)^3 ogf] A321123 16.3364 [-(3*x^3+3*x-2)/(2*x-1)/(x-1)^3 ogf] A321123 5.88591 [{a(n+4)-5*a(n+3)+9*a(n+2)-7*a(n+1)+2*a(n),a(0)=2,a(1)=7,a(2)=17,a(3)=33} ogf] A321123 6.11056 [(2*f(x)-701)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+3*x^3-5*f(x)*x+f(x)+3*x-2) ogf] A321124 16.5525 [(7*x^3-x^2+x+1)/(x-1)^4 ogf] A321124 19.7823 [(7*x^3-x^2+x+1)/(x-1)^4 ogf] A321124 5.63246 [-(92*f(x)+145)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+x^2+f(x)-x-1) ogf] A321124 5.96378 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=13,a(3)=33} ogf] A321129 4.91453 [(x^8+2*x^7+x^6-2*x^5-x^4-2*x^3+x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A321129 5.21014 [(x^8+2*x^7+x^6-2*x^5-x^4-2*x^3+x^2+2*x+1)/(x+1)/(x-1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A321133 11.0967 [{a(n+2)-3*a(n+1)-10*a(n),a(0)=-1,a(1)=23} ogf] A321133 16.8669 [-(26*x-1)/(2*x+1)/(5*x-1) ogf] A321133 20.0797 [-(26*x-1)/(2*x+1)/(5*x-1) ogf] A321133 9.37051 [(49*f(x)+578)*(10*f(x)*x^2+3*f(x)*x-f(x)+26*x-1) ogf] A321168 5.29682 [-(6*x^18-12*x^17+6*x^16+4*x^15-8*x^14+4*x^13+4*x^11-3*x^10-6*x^9+7*x^8-4*x^7+4*x^6-4*x^5+2*x^4-1)/(x-1)^2 ogf] A321168 5.58706 [-(6*x^18-12*x^17+6*x^16+4*x^15-8*x^14+4*x^13+4*x^11-3*x^10-6*x^9+7*x^8-4*x^7+4*x^6-4*x^5+2*x^4-1)/(x-1)^2 ogf] A321173 13.3142 [(2*x^2-x+1)/(x^3+x^2-2*x-1) ogf] A321173 15.488 [(2*x^2-x+1)/(x^3+x^2-2*x-1) ogf] A321173 6.83704 [(f(x)-8)*(f(x)*x^3+f(x)*x^2-2*f(x)*x-2*x^2-f(x)+x-1) ogf] A321173 7.29722 [{a(n+3)+2*a(n+2)-a(n+1)-a(n),a(0)=-1,a(1)=3,a(2)=-9} ogf] A321174 13.013 [(2*x^2+6*x+1)/(x^3+x^2-2*x-1) ogf] A321174 15.1376 [(2*x^2+6*x+1)/(x^3+x^2-2*x-1) ogf] A321174 6.56408 [(22*f(x)+37)*(f(x)*x^3+f(x)*x^2-2*f(x)*x-2*x^2-f(x)-6*x-1) ogf] A321174 7.13213 [{-a(n+3)-2*a(n+2)+a(n+1)+a(n),a(0)=-1,a(1)=-4,a(2)=5} ogf] A321175 11.0795 [-(3*x^2-3*x-1)/(x^3+2*x^2-x-1) ogf] A321175 5.10619 [-(f(x)+2)*(f(x)*x^3+2*f(x)*x^2-f(x)*x+3*x^2-f(x)-3*x-1) ogf] A321175 5.64627 [{-a(n+3)-a(n+2)+2*a(n+1)+a(n),a(0)=-1,a(1)=-2,a(2)=3} ogf] A321175 9.62642 [-(3*x^2-3*x-1)/(x^3+2*x^2-x-1) ogf] A321180 13.8766 [-(16*x^2+19*x-1)/(x-1)^3 ogf] A321180 16.7231 [-(16*x^2+19*x-1)/(x-1)^3 ogf] A321180 5.435 [(1580*f(x)-19111)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+16*x^2-f(x)+19*x-1) ogf] A321180 6.15283 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=-1,a(1)=16,a(2)=67} ogf] A321195 4.64395 [-x^4*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A321195 4.85747 [-x^4*(x+1)*(x^2-x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A321197 8.96189 [x^3-f(x)*x^2+f(x)^2-f(x)^3 ogf] A321199 15.102 [x*(x+1)^2/(x^3+4*x^2+3*x+1) revogf] A321199 7.48416 [-f(x)^3*x^3+f(x)^3*x^2-4*f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A321200 14.5169 [-(x-1)^2*x/(3*x^3-4*x^2+3*x-1) revogf] A321200 7.70806 [-3*f(x)^3*x^3-f(x)^3*x^2+4*f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x-f(x)+1 ogf] A321202 11.2995 [-(2*x^2+2*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A321202 12.6095 [-(2*x^2+2*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A321204 16.2418 [-x*(x+1)^2/(x^3-2*x^2-3*x-1) revogf] A321204 8.62396 [f(x)^3*x^3+f(x)^3*x^2-2*f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A321205 12.1474 [-x*(x-1)^2/(x^3-2*x^2+3*x-1) revogf] A321205 6.44997 [-f(x)^3*x^3-f(x)^3*x^2+2*f(x)^2*x^2+2*f(x)^2*x-3*f(x)*x-f(x)+1 ogf] A321212 18.715 [(13*x^2+x+2)/(x+1)/(x-1)^2 ogf] A321212 21.9698 [(13*x^2+x+2)/(x+1)/(x-1)^2 ogf] A321212 8.35214 [(20672*f(x)+329519)*(f(x)*x^3-f(x)*x^2-f(x)*x-13*x^2+f(x)-x-2) ogf] A321212 9.62484 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=18} ogf] A321218 4.68538 [-(5*x^15-3*x^14+4*x^13-x^12-x^11-3*x^9+2*x^8+3*x^7+x^6-x^4+2*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A321218 4.90587 [-(5*x^15-3*x^14+4*x^13-x^12-x^11-3*x^9+2*x^8+3*x^7+x^6-x^4+2*x+1)/(x-1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A321220 15.6736 [(x^3+3*x+2)/(x-1)^2/(x+1)^2 ogf] A321220 18.4601 [(x^3+3*x+2)/(x-1)^2/(x+1)^2 ogf] A321220 8.47656 [{a(n+4)-2*a(n+2)+a(n),a(0)=2,a(1)=3,a(2)=4,a(3)=7} ogf] A321220 8.83727 [(4*f(x)-19)*(f(x)*x^4-2*f(x)*x^2-x^3+f(x)-3*x-2) ogf] A321232 7.13956 [(x^2-x+1)*(x^6+x^5+x^3+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A321232 7.64501 [(x^2-x+1)*(x^6+x^5+x^3+x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A321237 14.1062 [(2*x+1)*(3*x+1)/(2*x-1)/(x-1) ogf] A321237 16.4092 [(2*x+1)*(3*x+1)/(2*x-1)/(x-1) ogf] A321237 8.46369 [{-a(n+3)+3*a(n+2)-2*a(n+1),a(0)=1,a(1)=8,a(2)=28} ogf] A321237 8.64571 [(f(x)+1)*(2*f(x)*x^2-3*f(x)*x-6*x^2+f(x)-5*x-1) ogf] A321244 10.4841 [x*(268*x^7+4076*x^6+15273*x^5+17710*x^4+7010*x^3+972*x^2+49*x+2)/(x-1)^10 ogf] A321244 9.68531 [x*(268*x^7+4076*x^6+15273*x^5+17710*x^4+7010*x^3+972*x^2+49*x+2)/(x-1)^10 ogf] A321257 12.4233 [-(2*x+1)*(2*x^2+1)/(2*x-1)/(x-1)^2 ogf] A321257 14.167 [-(2*x+1)*(2*x^2+1)/(2*x-1)/(x-1)^2 ogf] A321257 6.40886 [{a(n+4)-4*a(n+3)+5*a(n+2)-2*a(n+1),a(0)=1,a(1)=6,a(2)=21,a(3)=60} ogf] A321257 6.67369 [(26+73*f(x))*(2*f(x)*x^3-5*f(x)*x^2+4*x^3+4*f(x)*x+2*x^2-f(x)+2*x+1) ogf] A321266 8.38095 [-(x^8+4*x^7+4*x^6+2*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(2*x^3-1) ogf] A321266 9.13429 [-(x^8+4*x^7+4*x^6+2*x^5+2*x^4+2*x^3+3*x^2+2*x+1)/(2*x^3-1) ogf] A321268 10.0843 [2*x^4*(6*x^3-32*x^2+35*x-11)/(-1+3*x)/(2*x-1)^2/(x-1)^4 ogf] A321268 9.12389 [2*x^4*(6*x^3-32*x^2+35*x-11)/(3*x-1)/(2*x-1)^2/(x-1)^4 ogf] A321306 5.70151 [(x^10+3*x^8-x^7+4*x^6+4*x^4+3*x^2-2*x+2)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A321306 6.02272 [(x^10+3*x^8-x^7+4*x^6+4*x^4+3*x^2-2*x+2)/(x^2+1)/(x^2-x+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A321311 10.7905 [(10*x^4+13*x^3+9*x^2-24*x+10)/(3*x-1)/(2*x-1) ogf] A321311 12.1185 [(10*x^4+13*x^3+9*x^2-24*x+10)/(-1+3*x)/(2*x-1) ogf] A321311 6.2024 [(10570660*f(x)-17529703)*(-10*x^4+6*f(x)*x^2-13*x^3-5*f(x)*x-9*x^2+f(x)+24*x-10) ogf] A321311 6.30164 [{-a(n+5)+5*a(n+4)-6*a(n+3),a(0)=10,a(1)=26,a(2)=79,a(3)=252,a(4)=796} ogf] A321324 6.01214 [-(x^7-x^6+x^5+x^4-x^3+2*x^2-2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A321324 6.38498 [-(x^7-x^6+x^5+x^4-x^3+2*x^2-2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A321341 6.01927 [-(x^9-x^8-x^7-2*x^6-x^4-2*x^3-x^2-x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A321341 6.39256 [-(x^9-x^8-x^7-2*x^6-x^4-2*x^3-x^2-x-1)/(x^4+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A321351 4.53166 [x*(29*x^26-29*x^23+9*x^8-33*x^5+x^3+26*x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A321351 4.89785 [x*(29*x^26-29*x^23+9*x^8-33*x^5+x^3+26*x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A321358 11.2237 [{a(n+2)-5*a(n+1)+4*a(n),a(0)=3,a(1)=5} ogf] A321358 16.611 [-(10*x-3)/(4*x-1)/(x-1) ogf] A321358 19.775 [-(10*x-3)/(4*x-1)/(x-1) ogf] A321358 9.12693 [-(f(x)+22)*(4*f(x)*x^2-5*f(x)*x+f(x)+10*x-3) ogf] A321383 11.4998 [-(x^4+14*x^3+20*x^2+14*x+1)/(x+1)^2/(x-1)^3 ogf] A321383 12.8527 [-(x^4+14*x^3+20*x^2+14*x+1)/(x+1)^2/(x-1)^3 ogf] A321383 5.1715 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=15,a(2)=37,a(3)=79,a(4)=123} ogf] A321398 8.04668 [1/6*I*(3*I*ln(x-1)+I*ln(3*x-1)+4*Pi) egf] A321416 7.54789 [(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x+1)^4/(x-1)^6 ogf] A321416 8.1704 [(x^4-x^3+x^2-x+1)/(x^4+x^3+x^2+x+1)/(x+1)^4/(x-1)^6 ogf] A321417 11.3154 [(x^2-x+1)^2/(x^2+x+1)^2/(x+1)^4/(x-1)^8 ogf] A321417 12.7081 [(x^2-x+1)^2/(x^2+x+1)^2/(x+1)^4/(x-1)^8 ogf] A321418 6.11805 [-(x^8-x^7+x^5-x^4+x^3-x+1)/(x^4+x^3+x^2+x+1)^2/(x^2+x+1)^4/(x-1)^7 ogf] A321418 6.50961 [-(x^8-x^7+x^5-x^4+x^3-x+1)/(x^4+x^3+x^2+x+1)^2/(x^2+x+1)^4/(x-1)^7 ogf] A321421 16.6666 [(6*x+1)/(4*x-1)/(x-1) ogf] A321421 20.2702 [(6*x+1)/(4*x-1)/(x-1) ogf] A321421 8.62067 [(47*f(x)+74)*(4*f(x)*x^2-5*f(x)*x+f(x)-6*x-1) ogf] A321421 9.99997 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=1,a(1)=11} ogf] A321461 11.1429 [(4*x^2+3*x+1)/(x^3+2*x^2-x-1) ogf] A321461 4.74786 [-(f(x)-1)*(f(x)*x^3+2*f(x)*x^2-f(x)*x-4*x^2-f(x)-3*x-1) ogf] A321461 5.25004 [{a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=-1,a(1)=-2,a(2)=-4} ogf] A321461 9.57902 [(4*x^2+3*x+1)/(x^3+2*x^2-x-1) ogf] A321465 5.34387 [2*(2*x^8-6*x^7+9*x^6-2*x^5-3*x^4+3*x^3+4*x^2-9*x+6)/(x+1)/(x^2+1)/(x^2-x+1)/(x^4-x^2+1) ogf_with_Euler_transform] A321466 7.7791 [2*(2*x^5-5*x^3+x^2+5*x-2)/(x^2-x+1)/(x^4-x^2+1) ogf_with_Euler_transform] A321483 10.4896 [{-a(n+2)+a(n+1)+2*a(n),a(0)=8,a(1)=13} ogf] A321483 16.0556 [-(5*x+8)/(x+1)/(2*x-1) ogf] A321483 19.1883 [-(5*x+8)/(x+1)/(2*x-1) ogf] A321483 8.55133 [-(45*f(x)-191)*(2*f(x)*x^2+f(x)*x-f(x)+5*x+8) ogf] A321499 7.68943 [-(x^8+x^7+x^5-2*x^4-2*x^3-2*x^2-2*x-3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A321499 8.23381 [-(x^8+x^7+x^5-2*x^4-2*x^3-2*x^2-2*x-3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A321501 11.2657 [x*(2*x^8+x^4+x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A321501 12.3783 [x*(2*x^8+x^4+x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A321528 3.497 [(4*x^11+6*x^10+9*x^9+4*x^8+6*x^7+6*x^6+6*x^5+6*x^4+6*x^3+4*x^2+9*x+6)/(x-1)/(x^2+x+1)/(x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf_with_Euler_transform] A321541 5.67897 [(118800*x^9+8910*x^8+8811*x^7+12321*x^6+2439*x^5-78*x^4-11*x^3-22*x^2-7*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A321541 6.0155 [(118800*x^9+8910*x^8+8811*x^7+12321*x^6+2439*x^5-78*x^4-11*x^3-22*x^2-7*x+1)/(x-1)/(10*x-1)/(x+1) ogf] A321542 5.63227 [{a(n+7)-a(n+5),a(0)=1,a(1)=3,a(2)=9,a(3)=27,a(4)=18,a(5)=45,a(6)=135} ogf] A321542 7.81251 [-(117*x^6+18*x^5+9*x^4+24*x^3+8*x^2+3*x+1)/(x-1)/(x+1) ogf] A321542 8.5478 [-(117*x^6+18*x^5+9*x^4+24*x^3+8*x^2+3*x+1)/(x-1)/(x+1) ogf] A321573 15.1211 [-(x^2+1)/(x+1)/(3*x-1) ogf] A321573 17.8093 [-(x^2+1)/(x+1)/(-1+3*x) ogf] A321573 8.52571 [{-a(n+3)+2*a(n+2)+3*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A321573 8.80677 [(19*f(x)-16)*(3*f(x)*x^2+2*f(x)*x+x^2-f(x)+1) ogf] A321574 11.2977 [-6*f(x)^2*x+f(x)^2-2*f(x)*x-1 ogf] A321574 11.6682 [-(x+(x^2-6*x+1)^(1/2))/(6*x-1) ogf] A321579 4.90936 [{-a(n+5)+5*a(n+4)-20*a(n+2)+16*a(n+1),a(0)=0,a(1)=0,a(2)=6,a(3)=36,a(4)=132} ogf] A321579 5.24924 [-(340*f(x)+921)*(16*f(x)*x^4-20*f(x)*x^3-48*x^4+6*x^3+5*f(x)*x+6*x^2-f(x)) ogf] A321579 8.02825 [6*x^2*(8*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A321579 8.86236 [6*x^2*(8*x^2-x-1)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A321614 3.29964 [(2*x-1)*(3*x^7-6*x^6-7*x^5+2*x^4+18*x^3-17*x^2+6*x-1)/(x^2-3*x+1)/(3*x^2-1)/(x^2+x-1)/(3*x-1)^2/(x-1)^2 ogf] A321614 3.46994 [(2*x-1)*(3*x^7-6*x^6-7*x^5+2*x^4+18*x^3-17*x^2+6*x-1)/(x^2-3*x+1)/(3*x^2-1)/(x^2+x-1)/(-1+3*x)^2/(x-1)^2 ogf] A321632 13.1367 [(3*x^2+3*x+1)/(x+1)/(2*x^2+2*x+1) ogf] A321632 15.1196 [(3*x^2+3*x+1)/(x+1)/(2*x^2+2*x+1) ogf] A321632 7.77999 [{-a(n+3)-3*a(n+2)-4*a(n+1)-2*a(n),a(0)=1,a(1)=0,a(2)=-1} ogf] A321632 9.0038 [-2*f(x)*x^3-4*f(x)*x^2-3*f(x)*x+3*x^2-f(x)+3*x+1 ogf] A321643 12.1727 [-(7*x+4)/(x+1)/(2*x-1) ogf] A321643 14.5479 [-(7*x+4)/(x+1)/(2*x-1) ogf] A321643 6.85592 [(27*f(x)+13)*(2*f(x)*x^2+f(x)*x-f(x)+7*x+4) ogf] A321643 7.95286 [{a(n+2)-a(n+1)-2*a(n),a(0)=4,a(1)=11} ogf] A321656 2.41768 [-(f(x)*x^2+f(x)*x+x^2-f(x)+x)^2 ogf] A321664 7.45035 [-x*(x^6+x^4-x^2-x-1)/(x-1)/(x^2+x+1)/(x^6+x^3-1) ogf] A321664 8.04048 [-x*(x^6+x^4-x^2-x-1)/(x-1)/(x^2+x+1)/(x^6+x^3-1) ogf] A321672 13.8733 [12*x^2*(x^2+3*x+1)/(x-1)^6 ogf] A321672 16.5158 [12*x^2*(x^2+3*x+1)/(x-1)^6 ogf] A321672 3.41707 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=12,a(3)=108,a(4)=480,a(5)=1500} ogf] A321684 4.25254 [-x*(x^19-2*x^18+2*x^16-2*x^15+x^14+x^13-2*x^12+3*x^10-4*x^9+x^8+2*x^7-x^6-x^5+2*x^4+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A321684 4.43643 [-x*(x^19-2*x^18+2*x^16-2*x^15+x^14+x^13-2*x^12+3*x^10-4*x^9+x^8+2*x^7-x^6-x^5+2*x^4+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A321703 10.4671 [{-a(n+3)+3*a(n+2)+4*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=5} ogf] A321703 19.0978 [(2*x^2+2*x-1)/(x^3+4*x^2+3*x-1) ogf] A321703 22.2158 [(2*x^2+2*x-1)/(x^3+4*x^2+3*x-1) ogf] A321703 9.30405 [-(33*f(x)-38)*(f(x)*x^3+4*f(x)*x^2+3*f(x)*x-2*x^2-f(x)-2*x+1) ogf] A321715 18.1941 [(2*x^2+4*x-1)/(x^3+4*x^2+3*x-1) ogf] A321715 21.1646 [(2*x^2+4*x-1)/(x^3+4*x^2+3*x-1) ogf] A321715 8.8638 [-(13*f(x)+22)*(f(x)*x^3+4*f(x)*x^2+3*f(x)*x-2*x^2-f(x)-4*x+1) ogf] A321715 9.97177 [{a(n+3)-3*a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-1} ogf] A321760 2.01114 [-(f(x)-1)^3 ogf] A321773 11.1915 [(5*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A321773 12.569 [(5*x^2+3*x+1)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A321773 6.38268 [{-a(n+5)+a(n+3)+a(n+2)-a(n),a(0)=1,a(1)=3,a(2)=6,a(3)=4,a(4)=9} ogf] A321774 8.53943 [(7*x^3+4*x^2+4*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A321774 9.30702 [(7*x^3+4*x^2+4*x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^2 ogf] A321775 5.10951 [(29*x^6+34*x^5+49*x^4+35*x^3+21*x^2+6*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A321775 5.37494 [(29*x^6+34*x^5+49*x^4+35*x^3+21*x^2+6*x+1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^2 ogf] A321798 12.7246 [x*(x-1)^4/(x^4-4*x^3+6*x^2-3*x+1) revogf] A321799 11.6141 [x*(x-1)^5/(x^5-5*x^4+10*x^3-10*x^2+4*x-1) revogf] A321837 25.0499 [1/(3*x-1)^2 lgdegf] A321837 4.77141 [{9*a(n)*n^2-6*a(n+1)*n+9*a(n)*n+a(n+2)-7*a(n+1),a(0)=1,a(1)=1} ogf] A321847 26.9768 [1/(4*x-1)^2 lgdegf] A321847 5.05815 [{16*a(n)*n^2+16*a(n)*n-8*a(n+1)*n+a(n+2)-9*a(n+1),a(0)=1,a(1)=1} ogf] A321847 5.05815 [{16*a(n)*n^2-8*a(n+1)*n+16*a(n)*n+a(n+2)-9*a(n+1),a(0)=1,a(1)=1} ogf] A321848 28.5424 [1/(5*x-1)^2 lgdegf] A321848 5.26937 [{25*a(n)*n^2+25*a(n)*n-10*a(n+1)*n+a(n+2)-11*a(n+1),a(0)=1,a(1)=1} ogf] A321848 5.26937 [{25*a(n)*n^2-10*a(n+1)*n+25*a(n)*n+a(n+2)-11*a(n+1),a(0)=1,a(1)=1} ogf] A321849 25.617 [1/(6*x-1)^2 lgdegf] A321850 26.6794 [1/(7*x-1)^2 lgdegf] A321853 5.79677 [I*(2*I*ln(x-1)*x-2*I*ln(x-1)-3*I*x+2*Pi*x-2*Pi)/(x-1)^4 egf] A321883 13.5102 [-x*(x^5+x^4-2*x^3-1)/(x-1)^2 ogf] A321883 15.5494 [-x*(x^5+x^4-2*x^3-1)/(x-1)^2 ogf] A321883 5.84482 [{a(n+7)-2*a(n+6)+a(n+5),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=6,a(5)=8,a(6)=9} ogf] A321942 2.72714 [-(exp(1/(x-1))*exp(1)*x+exp(1)*exp(-1)-exp(1)*Ei(1,1)+Ei(1,-1/(x-1))*exp(1)-exp(1/(x-1))*exp(1)-1)*exp(-1/(x-1))/exp(1)/(x-1)^2 egf] A321945 3.1074 [(f(x)-x-1)^2 ogf] A321957 3.79002 [1728*f(x)^3*x^3-688*f(x)^3*x^2+91*f(x)^3*x+432*f(x)^2*x^2-4*f(x)^3-118*f(x)^2*x+120*f(x)*x^2+8*f(x)^2+12*f(x)*x-8*x^2-4*f(x)+16*x ogf] A321959 12.9539 [-x*(x-1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A321959 14.9092 [-x*(x-1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A321959 5.8102 [{-a(n+4)+6*a(n+3)-14*a(n+2)+16*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=5,a(3)=16} ogf] A321959 6.17334 [(2*f(x)+59)*(8*f(x)*x^4-16*f(x)*x^3+14*f(x)*x^2-6*f(x)*x+x^2+f(x)-x) ogf] A321965 15.2226 [-(x^2-2*x+2)/(x-1)^3 lgdegf] A321974 15.7524 [-exp(x)/(x-1)^2*(x-2) lgdegf] A321986 4.266 [-x^2*(x^2-x+1)*(x^5+x^4+x^3+2*x^2+3*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A321986 4.56802 [-x^2*(x^2-x+1)*(x^5+x^4+x^3+2*x^2+3*x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A321988 6.30947 [-x^2*(3*x^5+5*x^4+11*x^3+10*x^2+9*x+4)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A321988 6.84079 [-x^2*(3*x^5+5*x^4+11*x^3+10*x^2+9*x+4)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A321999 4.69687 [x^2*(x^18+x^9-9*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A321999 4.89889 [x^2*(x^18+x^9-9*x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A322008 5.62433 [(x^11-x^10-x^9-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-x-2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A322008 5.93898 [(x^11-x^10-x^9-2*x^7-2*x^6-2*x^5-2*x^4-2*x^3-2*x^2-x-2)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A322031 14.0353 [2*(5*x+4)/(x-1)/(x+1) ogf_with_Euler_transform] A322039 14.1339 [(x+1)^2/(2*x+1)^2/(x-1)^2 ogf] A322039 17.1898 [(x+1)^2/(2*x+1)^2/(x-1)^2 ogf] A322039 4.78213 [{a(n+4)+2*a(n+3)-3*a(n+2)-4*a(n+1)+4*a(n),a(0)=1,a(1)=0,a(2)=4,a(3)=-4} ogf] A322039 4.89249 [(5*f(x)+11)*(4*f(x)*x^4-4*f(x)*x^3-3*f(x)*x^2+2*f(x)*x-x^2+f(x)-2*x-1) ogf] A322040 12.857 [(x+1)^2/(x-1)^2/(2*x^2+2*x+1)^2 ogf] A322040 15.1427 [(x+1)^2/(x-1)^2/(2*x^2+2*x+1)^2 ogf] A322040 3.91622 [{a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)-4*a(n+2)+4*a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=4,a(4)=-4,a(5)=4} ogf] A322042 13.1333 [x*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A322042 15.2775 [x*(x+1)/(x^2+x+1)/(x-1)^2 ogf] A322042 6.50956 [{a(n+4)-a(n+3)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=2} ogf] A322042 8.80705 [-f(x)*x^4+f(x)*x^3+f(x)*x+x^2-f(x)+x ogf] A322043 20.8785 [-(53*x^2+323*x+53)/(x-1)^3 ogf] A322043 24.9524 [-(53*x^2+323*x+53)/(x-1)^3 ogf] A322043 8.38563 [(523*f(x)-111014)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+53*x^2-f(x)+323*x+53) ogf] A322043 9.30042 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=53,a(1)=482,a(2)=1340} ogf] A322048 3.36347 [(6*x^4+2*x^2+2*x+1)/(2*x-1)/(x-1) ogf] A322048 3.87116 [(6*x^4+2*x^2+2*x+1)/(2*x-1)/(x-1) ogf] A322052 16.1825 [-x/(10*x-1)/(x^2-10*x+1) ogf] A322052 19.1932 [-x/(10*x-1)/(x^2-10*x+1) ogf] A322052 7.17659 [-(990001*f(x)-2020)*(10*f(x)*x^3-101*f(x)*x^2+20*f(x)*x-f(x)+x) ogf] A322052 7.64174 [{-a(n+3)+20*a(n+2)-101*a(n+1)+10*a(n),a(0)=0,a(1)=1,a(2)=20} ogf] A322053 14.3925 [x/(10*x-1)/(9*x^2+9*x-1) ogf] A322053 17.4225 [x/(10*x-1)/(9*x^2+9*x-1) ogf] A322053 6.18745 [-(19*f(x)+1)*(90*f(x)*x^3+81*f(x)*x^2-19*f(x)*x+f(x)-x) ogf] A322053 6.18745 [{-a(n+3)+19*a(n+2)-81*a(n+1)-90*a(n),a(0)=0,a(1)=1,a(2)=19} ogf] A322054 13.634 [-(9*x+10)/(9*x^2+9*x-1) ogf] A322054 16.5044 [-(9*x+10)/(9*x^2+9*x-1) ogf] A322054 6.67197 [-(119*f(x)-101)*(9*f(x)*x^2+9*f(x)*x-f(x)+9*x+10) ogf] A322054 8.25218 [{-a(n+2)+9*a(n+1)+9*a(n),a(0)=10,a(1)=99} ogf] A322055 5.68952 [(8*x^12-16*x^11+8*x^10-49*x^8-72*x^6-24*x^5-70*x^4-32*x^3-32*x^2-8*x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A322055 6.02667 [(8*x^12-16*x^11+8*x^10-49*x^8-72*x^6-24*x^5-70*x^4-32*x^3-32*x^2-8*x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A322056 5.72586 [-(8*x^12-16*x^11+8*x^10-49*x^8-72*x^6-24*x^5-70*x^4-32*x^3-32*x^2-8*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A322056 6.05541 [-(8*x^12-16*x^11+8*x^10-49*x^8-72*x^6-24*x^5-70*x^4-32*x^3-32*x^2-8*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A322073 2.83138 [-(f(x)*x-f(x)+1)^3 ogf] A322108 11.3763 [(x^4+2*x^2-x+1)/(x^2+1)/(x-1)^4 ogf] A322108 3.29163 [{-a(n+6)+4*a(n+5)-7*a(n+4)+8*a(n+3)-7*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=7,a(3)=15,a(4)=29,a(5)=50} ogf] A322108 9.97616 [(x^4+2*x^2-x+1)/(x^2+1)/(x-1)^4 ogf] A322116 10.6106 [-(8*f(x)+75)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x-6*x^2+f(x)-2) ogf] A322116 11.3179 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=2,a(1)=6,a(2)=26} ogf] A322116 18.2828 [2*(3*x^2+1)/(x-1)/(3*x-1)/(x+1) ogf] A322116 20.8488 [2*(3*x^2+1)/(x-1)/(3*x-1)/(x+1) ogf] A322131 3.49025 [2*x*(91*x^14+x^13+x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x+1)^2/(x-1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A322131 3.61326 [2*x*(91*x^14+x^13+x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A322153 2.00356 [222784153*x^19+38182584*x^18+13275*x^13+2967*x^12+12*x^7+5*x^6+x+1 ogf] A322171 13.9838 [(x^3+x^2+5*x+3)/(x^2+1)/(x-1)^2 ogf] A322171 15.9464 [(x^3+x^2+5*x+3)/(x^2+1)/(x-1)^2 ogf] A322171 6.49246 [(10*f(x)+163)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2-x^3-2*f(x)*x-x^2+f(x)-5*x-3) ogf] A322171 6.63463 [{-a(n+4)+2*a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=11,a(2)=17,a(3)=19} ogf] A322179 2.25914 [(f(x)-1)^2*(-2*x^3+f(x)-1) ogf] A322240 12.0958 [2/(15*x+1)*EllipticK(8*x^(1/2)/(15*x+1))/Pi ogf] A322242 19.5624 [-7*f(x)^2*x^2-6*f(x)^2*x+f(x)^2-1 ogf] A322242 23.7006 [-(7*x+3)/(x+1)/(7*x-1) lgdogf] A322242 7.04246 [{a(n+3)*n-6*a(n+2)*n-7*a(n+1)*n+3*a(n+3)-15*a(n+2)-14*a(n+1),a(0)=1,a(1)=3,a(2)=17} ogf] A322243 15.138 [2/(7*x+1)*EllipticK(8*x^(1/2)/(7*x+1))/Pi ogf] A322244 16.547 [55*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A322244 19.6113 [-(55*x+3)/(5*x+1)/(11*x-1) lgdogf] A322244 5.98311 [{a(n+3)*n-6*a(n+2)*n-55*a(n+1)*n+3*a(n+3)-15*a(n+2)-110*a(n+1),a(0)=1,a(1)=3,a(2)=41} ogf] A322245 12.5635 [2/(55*x+1)*EllipticK(16*x^(1/2)/(55*x+1))/Pi ogf] A322246 16.3915 [-11*f(x)^2*x^2-10*f(x)^2*x+f(x)^2-1 ogf] A322246 19.7305 [-(11*x+5)/(x+1)/(11*x-1) lgdogf] A322246 6.01948 [{a(n+3)*n-10*a(n+2)*n-11*a(n+1)*n+3*a(n+3)-25*a(n+2)-22*a(n+1),a(0)=1,a(1)=5,a(2)=43} ogf] A322247 14.3296 [2/(11*x+1)*EllipticK(12*x^(1/2)/(11*x+1))/Pi ogf] A322248 19.1977 [39*f(x)^2*x^2+10*f(x)^2*x-f(x)^2+1 ogf] A322248 23.1084 [-(39*x+5)/(3*x+1)/(13*x-1) lgdogf] A322248 7.05001 [{a(n+3)*n-10*a(n+2)*n-39*a(n+1)*n+3*a(n+3)-25*a(n+2)-78*a(n+1),a(0)=1,a(1)=5,a(2)=57} ogf] A322249 13.3342 [2/(39*x+1)*EllipticK(16*x^(1/2)/(39*x+1))/Pi ogf] A322262 11.2566 [-120/(x^5-5*x^4+20*x^3-60*x^2+120*x-120) egf] A322262 12.8364 [-120/(x^5-5*x^4+20*x^3-60*x^2+120*x-120) egf] A322262 3.99823 [{120*a(n+5)-120*a(n+4)+60*a(n+3)-20*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=1/24} egf] A322281 5.48411 [(f(x)-x-1)^2 ogf] A322282 7.73812 [-5040/(x^7-7*x^6+42*x^5-210*x^4+840*x^3-2520*x^2+5040*x-5040) egf] A322282 8.49306 [-5040/(x^7-7*x^6+42*x^5-210*x^4+840*x^3-2520*x^2+5040*x-5040) egf] A322283 6.58879 [-362880/(x^9-9*x^8+72*x^7-504*x^6+3024*x^5-15120*x^4+60480*x^3-181440*x^2+362880*x-362880) egf] A322283 7.04714 [-362880/(x^9-9*x^8+72*x^7-504*x^6+3024*x^5-15120*x^4+60480*x^3-181440*x^2+362880*x-362880) egf] A322284 12.2101 [-(6*x^3-6*x^2+1)/(2*x^2-1)/(2*x-1)^2 ogf] A322284 13.9237 [-(6*x^3-6*x^2+1)/(2*x^2-1)/(2*x-1)^2 ogf] A322284 5.62875 [-(524*f(x)+645)*(8*f(x)*x^4-8*f(x)*x^3-2*f(x)*x^2+6*x^3+4*f(x)*x-6*x^2-f(x)+1) ogf] A322284 5.87891 [{-a(n+4)+4*a(n+3)-2*a(n+2)-8*a(n+1)+8*a(n),a(0)=1,a(1)=4,a(2)=8,a(3)=22} ogf] A322288 16.3833 [x*(377*x^7+289*x^6+38*x^2+6)/(x-1)^2 ogf] A322288 18.8105 [x*(377*x^7+289*x^6+38*x^2+6)/(x-1)^2 ogf] A322309 8.22546 [2*(320*x^5-320*x^4+80*x^3+1)/(2*x-1)^2 egf] A322309 9.44404 [2*(320*x^5-320*x^4+80*x^3+1)/(2*x-1)^2 egf] A322325 10.5349 [-(x^3-2*x^2-x+1)/(x^5-3*x^3+2*x^2+2*x-1) ogf] A322325 11.7564 [-(x^3-2*x^2-x+1)/(x^5-3*x^3+2*x^2+2*x-1) ogf] A322325 5.55609 [{a(n+5)-2*a(n+4)-2*a(n+3)+3*a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=4,a(4)=9} ogf] A322340 6.04838 [(x^25-x^21-x^9+x^5-1)/(x^25+x^23+x^22-x^21-x^19+2*x^14-x^9-x^6+2*x^5+x-1) ogf] A322340 6.41219 [(x^25-x^21-x^9+x^5-1)/(x^25+x^23+x^22-x^21-x^19+2*x^14-x^9-x^6+2*x^5+x-1) ogf] A322405 18.9876 [-1/(x^9+x^8+x-1) ogf] A322405 23.5907 [-1/(x^9+x^8+x-1) ogf] A322417 10.7001 [-(5*x^2-3*x-5)/(x-1)/(2*x-1)/(x+1) ogf] A322417 12.1034 [-(5*x^2-3*x-5)/(x-1)/(2*x-1)/(x+1) ogf] A322417 6.25684 [-(45*f(x)+451)*(2*f(x)*x^3-f(x)*x^2-2*f(x)*x+5*x^2+f(x)-3*x-5) ogf] A322417 6.96516 [{a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=5,a(1)=13,a(2)=26} ogf] A322455 11.3165 [(9*x^2+40*x-3)/(x^3+9*x^2+20*x-1) ogf] A322455 13.0917 [(9*x^2+40*x-3)/(x^3+9*x^2+20*x-1) ogf] A322455 5.56397 [(971*f(x)+694815)*(f(x)*x^3+9*f(x)*x^2+20*f(x)*x-9*x^2-f(x)-40*x+3) ogf] A322455 6.18218 [{a(n+3)-20*a(n+2)-9*a(n+1)-a(n),a(0)=3,a(1)=20,a(2)=418} ogf] A322458 13.0265 [-(49*x^2-3)/(49*x^3-49*x^2+1) ogf] A322458 15.1976 [-(49*x^2-3)/(49*x^3-49*x^2+1) ogf] A322458 7.22263 [(97851*f(x)-139889)*(49*f(x)*x^3-49*f(x)*x^2+49*x^2+f(x)-3) ogf] A322458 8.28961 [{-a(n+3)+49*a(n+1)-49*a(n),a(0)=3,a(1)=0,a(2)=98} ogf] A322459 12.5437 [(14*x^2+14*x+3)/(7*x^3+14*x^2+7*x+1) ogf] A322459 14.4735 [(14*x^2+14*x+3)/(7*x^3+14*x^2+7*x+1) ogf] A322459 6.27184 [-(12*f(x)+13)*(7*f(x)*x^3+14*f(x)*x^2+7*f(x)*x-14*x^2+f(x)-14*x-3) ogf] A322459 7.10019 [{-a(n+3)-7*a(n+2)-14*a(n+1)-7*a(n),a(0)=3,a(1)=-7,a(2)=21} ogf] A322460 10.0023 [(88*x^2-190*x-3)/(x^3+88*x^2-95*x-1) ogf] A322460 11.4841 [(88*x^2-190*x-3)/(x^3+88*x^2-95*x-1) ogf] A322460 4.36721 [-(213908593049*f(x)-223910675233)*(f(x)*x^3+88*f(x)*x^2-95*f(x)*x-88*x^2-f(x)+190*x+3) ogf] A322460 5.63767 [{-a(n+3)-95*a(n+2)+88*a(n+1)+a(n),a(0)=3,a(1)=-95,a(2)=9201} ogf] A322461 10.1172 [-(x+3)*(5*x+1)/(x^3-5*x^2-8*x-1) ogf] A322461 11.5371 [-(x+3)*(5*x+1)/(x^3-5*x^2-8*x-1) ogf] A322461 5.57302 [-(17*f(x)-27)*(f(x)*x^3-5*f(x)*x^2-8*f(x)*x+5*x^2-f(x)+16*x+3) ogf] A322461 6.26302 [{-a(n+3)-8*a(n+2)-5*a(n+1)+a(n),a(0)=3,a(1)=-8,a(2)=54} ogf] A322462 11.7311 [-x*(x^3-x^2+11*x+1)/(x+1)^2/(x-1)^3 ogf] A322462 13.2447 [-x*(x^3-x^2+11*x+1)/(x+1)^2/(x-1)^3 ogf] A322462 4.94683 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=12,a(3)=13,a(4)=36} ogf] A322465 12.7532 [x*(x^3-3*x^2-x-9)/(x+1)^2/(x-1)^3 ogf] A322465 14.5431 [x*(x^3-3*x^2-x-9)/(x+1)^2/(x-1)^3 ogf] A322465 4.99372 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=10,a(3)=31,a(4)=32} ogf] A322489 15.254 [2*(x^2+8*x+1)/(x+1)/(x-1)^2 ogf] A322489 17.7444 [2*(x^2+8*x+1)/(x+1)/(x-1)^2 ogf] A322489 7.62698 [(7*f(x)+156)*(f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x)-16*x-2) ogf] A322489 8.2026 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=18,a(2)=22} ogf] A322490 16.4717 [(3*x^2+14*x+3)/(x+1)/(x-1)^2 ogf] A322490 19.3363 [(3*x^2+14*x+3)/(x+1)/(x-1)^2 ogf] A322490 7.73453 [(11*f(x)+472)*(f(x)*x^3-f(x)*x^2-f(x)*x-3*x^2+f(x)-14*x-3) ogf] A322490 8.39124 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=3,a(1)=17,a(2)=23} ogf] A322496 14.3191 [-1/(x^2+x+1)/(x^2+2*x-1) ogf] A322496 16.8647 [-1/(x^2+x+1)/(x^2+2*x-1) ogf] A322496 5.66352 [{-a(n+4)+a(n+3)+2*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=8} ogf] A322496 6.32426 [(539*f(x)-74)*(f(x)*x^4+3*f(x)*x^3+2*f(x)*x^2+f(x)*x-f(x)+1) ogf] A322497 6.65001 [-(x+1)*(x^3+x-1)/(2*x^2+1)/(x^6+x^5-3*x^4-7*x^3-7*x^2-x+1) ogf] A322497 7.15667 [-(x+1)*(x^3+x-1)/(2*x^2+1)/(x^6+x^5-3*x^4-7*x^3-7*x^2-x+1) ogf] A322504 14.6396 [(x^2-2*x-1)/(x^3-3*x^2-4*x-1) ogf] A322504 17.0298 [(x^2-2*x-1)/(x^3-3*x^2-4*x-1) ogf] A322504 7.25616 [-(f(x)-1)*(f(x)*x^3-3*f(x)*x^2-4*f(x)*x-x^2-f(x)+2*x+1) ogf] A322504 8.02364 [{-a(n+3)-4*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=-2,a(2)=4} ogf] A322535 7.46688 [(x+1)*(x^6+1098*x^5+28239*x^4+95948*x^3+28239*x^2+1098*x+1)/(x-1)^8 ogf] A322535 8.09567 [(x+1)*(x^6+1098*x^5+28239*x^4+95948*x^3+28239*x^2+1098*x+1)/(x-1)^8 ogf] A322536 5.9387 [-(x^8+3130*x^7+152110*x^6+1126258*x^5+2112016*x^4+1126258*x^3+152110*x^2+3130*x+1)/(x-1)^9 ogf] A322536 6.33794 [-(x^8+3130*x^7+152110*x^6+1126258*x^5+2112016*x^4+1126258*x^3+152110*x^2+3130*x+1)/(x-1)^9 ogf] A322537 5.64459 [(x+1)*(x^8+8942*x^7+758518*x^6+8612954*x^5+21223810*x^4+8612954*x^3+758518*x^2+8942*x+1)/(x-1)^10 ogf] A322537 5.99464 [(x+1)*(x^8+8942*x^7+758518*x^6+8612954*x^5+21223810*x^4+8612954*x^3+758518*x^2+8942*x+1)/(x-1)^10 ogf] A322573 10.6235 [-x*(x^2+x-1)/(x-1)/(x+1)/(x^2+3*x-1) ogf] A322573 11.7877 [-x*(x^2+x-1)/(x-1)/(x+1)/(x^2+3*x-1) ogf] A322573 6.23553 [-(35*f(x)-1)*(f(x)*x^4+3*f(x)*x^3-2*f(x)*x^2+x^3-3*f(x)*x+x^2+f(x)-x) ogf] A322573 6.46995 [{a(n+4)-3*a(n+3)-2*a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=7} ogf] A322593 12.3151 [-(7*x^3-6*x^2+5*x-2)/(2*x-1)/(x-1)^3 ogf] A322593 14.0436 [-(7*x^3-6*x^2+5*x-2)/(2*x-1)/(x-1)^3 ogf] A322593 5.75888 [(7*f(x)-671)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+7*x^3-5*f(x)*x-6*x^2+f(x)+5*x-2) ogf] A322593 5.88591 [{a(n+4)-5*a(n+3)+9*a(n+2)-7*a(n+1)+2*a(n),a(0)=2,a(1)=5,a(2)=13,a(3)=27} ogf] A322594 15.2968 [-(5*x^3-11*x^2-x-1)/(x-1)^4 ogf] A322594 17.9571 [-(5*x^3-11*x^2-x-1)/(x-1)^4 ogf] A322594 5.61922 [-(514*f(x)+8549)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+5*x^3-4*f(x)*x-11*x^2+f(x)-x-1) ogf] A322594 6.07371 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=25,a(3)=69} ogf] A322595 16.6041 [(5*x^3-5*x^2-x+3)/(x-1)^4 ogf] A322595 19.8439 [(5*x^3-5*x^2-x+3)/(x-1)^4 ogf] A322595 5.81143 [(17*f(x)+185)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x+5*x^2+f(x)+x-3) ogf] A322595 5.93869 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=3,a(1)=11,a(2)=21,a(3)=35} ogf] A322597 16.6288 [(9*x^3-5*x^2+3*x+1)/(x-1)^4 ogf] A322597 19.8735 [(9*x^3-5*x^2+3*x+1)/(x-1)^4 ogf] A322597 5.90443 [(8*f(x)+13)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x+5*x^2+f(x)-3*x-1) ogf] A322597 5.99126 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=17,a(3)=39} ogf] A322598 10.0075 [-(2*x^3+4*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A322598 4.30492 [{a(n+6)-a(n+5)-a(n+4)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8,a(3)=13,a(4)=20,a(5)=29} ogf] A322598 9.06565 [-(2*x^3+4*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A322599 5.45184 [(3*x^8+7*x^7+16*x^6+21*x^5+21*x^4+17*x^3+8*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A322599 5.77977 [(3*x^8+7*x^7+16*x^6+21*x^5+21*x^4+17*x^3+8*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A322605 2.08277 [(3*x^13-x^12+x^11+x^9-x+2)/(x-1)^2 ogf] A322628 11.4557 [(x-1)*x^2/(10*x-1)/(x^2-10*x+1) ogf] A322628 13.2526 [x^2*(x-1)/(10*x-1)/(x^2-10*x+1) ogf] A322628 5.32192 [{-a(n+4)+20*a(n+3)-101*a(n+2)+10*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=19} ogf] A322628 6.08904 [-f(x)*(10*f(x)*x^3-101*f(x)*x^2-x^3+20*f(x)*x+x^2-f(x)) ogf] A322675 18.1105 [x*(x^2+46*x+49)/(x-1)^4 ogf] A322675 21.8255 [x*(x^2+46*x+49)/(x-1)^4 ogf] A322675 5.79044 [(307488*f(x)+11958353)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-46*x^2+f(x)-49*x) ogf] A322675 6.16808 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=49,a(2)=242,a(3)=675} ogf] A322677 14.2976 [-96*x*(x+3)*(3*x+1)/(x-1)^5 ogf] A322677 16.7842 [-96*x*(x+3)*(3*x+1)/(x-1)^5 ogf] A322677 4.36199 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=288,a(2)=2400,a(3)=9408,a(4)=25920} ogf] A322707 10.4893 [-5*x*(x+1)/(x-1)/(x^2-22*x+1) ogf] A322707 12.0432 [-5*x*(x+1)/(x-1)/(x^2-22*x+1) ogf] A322707 5.91212 [(24*f(x)+5)*(f(x)*x^3-23*f(x)*x^2+23*f(x)*x+5*x^2-f(x)+5*x) ogf] A322707 6.07788 [{a(n+3)-23*a(n+2)+23*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=120} ogf] A322708 11.0021 [-6*x*(x+1)/(x-1)/(x^2-26*x+1) ogf] A322708 12.632 [-6*x*(x+1)/(x-1)/(x^2-26*x+1) ogf] A322708 6.20116 [(14*f(x)+3)*(f(x)*x^3-27*f(x)*x^2+27*f(x)*x+6*x^2-f(x)+6*x) ogf] A322708 6.37503 [{a(n+3)-27*a(n+2)+27*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=168} ogf] A322709 11.4682 [-7*x*(x+1)/(x-1)/(x^2-30*x+1) ogf] A322709 13.1672 [-7*x*(x+1)/(x-1)/(x^2-30*x+1) ogf] A322709 6.46392 [(32*f(x)+7)*(f(x)*x^3-31*f(x)*x^2+31*f(x)*x+7*x^2-f(x)+7*x) ogf] A322709 6.64515 [{a(n+3)-31*a(n+2)+31*a(n+1)-a(n),a(0)=0,a(1)=7,a(2)=224} ogf] A322738 8.76146 [1/2*(Ei(1,1/2)-Ei(1,1/2*(x+1)^2))/exp(-1/2) revegf] A322745 10.7225 [x*(x^4+1676*x^3+13686*x^2+13676*x+1681)/(x-1)^6 ogf] A322745 12.0027 [x*(x^4+1676*x^3+13686*x^2+13676*x+1681)/(x-1)^6 ogf] A322753 10.7846 [-x*(4*x^3-3*x^2+2*x+1)/(x^4-x^3+x^2+x-1) ogf] A322753 5.1456 [{a(n+5)-a(n+4)-a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=1,a(4)=7} ogf] A322753 5.39231 [(1655*f(x)+632)*(f(x)*x^4-f(x)*x^3+4*x^4+f(x)*x^2-3*x^3+f(x)*x+2*x^2-f(x)+x) ogf] A322753 9.71947 [-x*(4*x^3-3*x^2+2*x+1)/(x^4-x^3+x^2+x-1) ogf] A322780 13.6432 [(x^2+4*x+1)/(x^4-8*x^2+1) ogf] A322780 16.0686 [(x^2+4*x+1)/(x^4-8*x^2+1) ogf] A322780 7.30392 [{-a(n+4)+8*a(n+2)-a(n),a(0)=1,a(1)=4,a(2)=9,a(3)=32} ogf] A322780 7.37845 [(1118*f(x)-159)*(f(x)*x^4-8*f(x)*x^2-x^2+f(x)-4*x-1) ogf] A322783 4.80261 [(16*f(x)+1)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+6*x^3+3*f(x)*x-3*x^2-f(x)-3*x+2) ogf] A322783 4.94597 [{a(n+4)-3*a(n+3)+a(n+2)+3*a(n+1)-2*a(n),a(0)=2,a(1)=3,a(2)=4,a(3)=9} ogf] A322783 8.60727 [-(6*x^3-3*x^2-3*x+2)/(x+1)/(2*x-1)/(x-1)^2 ogf] A322783 9.60521 [-(6*x^3-3*x^2-3*x+2)/(x+1)/(2*x-1)/(x-1)^2 ogf] A322796 4.90807 [-x*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^8-x^4+1) ogf] A322796 5.31286 [-x*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)/(x^8-x^4+1) ogf] A322799 4.38168 [(x^27+x^22-x^21+x^20-x^11-x^6+x^5-x^4-1)/(x^24-2*x^23+3*x^22-2*x^21+x^20+2*x^18+x^13+2*x^7-2*x^6+2*x^5-x^4+x-1) ogf] A322799 4.57116 [(x^27+x^22-x^21+x^20-x^11-x^6+x^5-x^4-1)/(x^24-2*x^23+3*x^22-2*x^21+x^20+2*x^18+x^13+2*x^7-2*x^6+2*x^5-x^4+x-1) ogf] A322800 3.46853 [-(x-1)*(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^27-x^21+x^20-x^19-x^8-x+1) ogf] A322800 3.58918 [-(x-1)*(x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x^27-x^21+x^20-x^19-x^8-x+1) ogf] A322801 8.98703 [(x^25-x^10-1)/(x^25+2*x^16+x^11-x^10+x^6+x-1) ogf] A322801 9.85325 [(x^25-x^10-1)/(x^25+2*x^16+x^11-x^10+x^6+x-1) ogf] A322802 5.16365 [-(x-1)*(x^2+x+1)*(x^6+x^3+1)*(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x^25-x^18-x^7-x+1) ogf] A322802 5.43017 [-(x-1)*(x^2+x+1)*(x^6+x^3+1)*(x+1)*(x^2-x+1)*(x^6-x^3+1)/(x^25-x^18-x^7-x+1) ogf] A322829 3.89807 [-x*(x-1)*(x+1)*(x^8-2*x^7+2*x^6+2*x^2-2*x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A322829 4.11021 [-x*(x-1)*(x+1)*(x^8-2*x^7+2*x^6+2*x^2-2*x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1) ogf] A322830 15.9817 [(x+1)*(x^2+94*x+1)/(x-1)^4 ogf] A322830 18.7611 [(x+1)*(x^2+94*x+1)/(x-1)^4 ogf] A322830 5.71529 [(307584*f(x)+24202189)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-95*x^2+f(x)-95*x-1) ogf] A322830 6.16435 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=99,a(2)=485,a(3)=1351} ogf] A322844 8.9159 [-x^2*(5*x^6+6*x^5+43*x^4+20*x^3+43*x^2+6*x+5)/(x-1)^5/(x+1)^5 ogf] A322844 9.72644 [-x^2*(5*x^6+6*x^5+43*x^4+20*x^3+43*x^2+6*x+5)/(x-1)^5/(x+1)^5 ogf] A322854 6.84289 [(x^28-x^13-x^7+x^6-1)/(x^22+x^20+2*x^14-2*x^13+x^8-x^7+x^6+x-1) ogf] A322854 7.31892 [(x^28-x^13-x^7+x^6-1)/(x^22+x^20+2*x^14-2*x^13+x^8-x^7+x^6+x-1) ogf] A322856 7.81911 [(x^29+x^28-x^8-x^7-1)/(x^28+x^17+x^16+2*x^9-x^7+x-1) ogf] A322856 8.4574 [(x^29+x^28-x^8-x^7-1)/(x^28+x^17+x^16+2*x^9-x^7+x-1) ogf] A322888 13.8044 [-(16*x-1)/(x^2-32*x+1) ogf] A322888 16.636 [-(16*x-1)/(x^2-32*x+1) ogf] A322888 6.82954 [-(255*f(x)-127)*(f(x)*x^2-32*f(x)*x+f(x)+16*x-1) ogf] A322888 8.53692 [{a(n+2)-32*a(n+1)+a(n),a(0)=1,a(1)=16} ogf] A322889 12.3882 [-(18*x-1)/(x^2-36*x+1) ogf] A322889 14.9293 [-(18*x-1)/(x^2-36*x+1) ogf] A322889 6.12888 [-(323*f(x)-161)*(f(x)*x^2-36*f(x)*x+f(x)+18*x-1) ogf] A322889 7.6611 [{a(n+2)-36*a(n+1)+a(n),a(0)=1,a(1)=18} ogf] A322890 12.6831 [-(20*x-1)/(x^2-40*x+1) ogf] A322890 15.2848 [-(20*x-1)/(x^2-40*x+1) ogf] A322890 6.27481 [-(399*f(x)-199)*(f(x)*x^2-40*f(x)*x+f(x)+20*x-1) ogf] A322890 7.84351 [{a(n+2)-40*a(n+1)+a(n),a(0)=1,a(1)=20} ogf] A322914 4.17339 [{a(n+3)*n-24*a(n+2)*n+144*a(n+1)*n+3*a(n+3)-54*a(n+2)+216*a(n+1),a(0)=0,a(1)=1,a(2)=15} ogf] A322914 7.42863 [2*x*(3*(1+24*x)^(1/2)+24*x+1)/(1+24*x)^(1/2)/(1+(1+24*x)^(1/2))^3 revogf] A322914 7.81962 [-432*f(x)^2*x^2+72*f(x)^2*x-3*f(x)^2-12*f(x)*x+f(x)-x ogf] A322918 2.53056 [1/14580*(216*x^3+6*(12*x+1)^(1/2)*x-54*x^2-(12*x+1)^(1/2)+1)/x^3 revogf] A322925 10.0855 [x*(10*x^2+2*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A322925 11.2897 [x*(10*x^2+2*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A322925 7.13595 [(1918*f(x)-5483)*(10*f(x)*x^4-11*f(x)*x^2-10*x^3-2*x^2+f(x)-x) ogf] A322925 7.5641 [{a(n+4)-11*a(n+2)+10*a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=21} ogf] A322927 10.0855 [x*(40*x^2+5*x+1)/(x+1)/(x-1)/(10*x^2-1) ogf] A322927 11.2897 [x*(40*x^2+5*x+1)/(x-1)/(x+1)/(10*x^2-1) ogf] A322927 6.63518 [-(79774*f(x)-1285507)*(10*f(x)*x^4-11*f(x)*x^2-40*x^3-5*x^2+f(x)-x) ogf] A322927 7.5641 [{a(n+4)-11*a(n+2)+10*a(n),a(0)=0,a(1)=1,a(2)=5,a(3)=51} ogf] A322938 4.85561 [-1/2*(2*I*x^2-2*x^2*(4*x-1)^(1/2)-3*I*x+x*(4*x-1)^(1/2)+I-(4*x-1)^(1/2))/(4*x-1)^(1/2)/x^2/(x-1) ogf] A322939 14.119 [(4*x^2+x-1)/(4*x^3+3*x^2+2*x-1) ogf] A322939 16.4242 [(4*x^2+x-1)/(4*x^3+3*x^2+2*x-1) ogf] A322939 6.87849 [-(11*f(x)-12)*(4*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-4*x^2-f(x)-x+1) ogf] A322939 7.7383 [{a(n+3)-2*a(n+2)-3*a(n+1)-4*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A322940 15.2012 [(4*x^2+x-1)/(2*x^2+3*x-1) ogf] A322940 18.1673 [(4*x^2+x-1)/(2*x^2+3*x-1) ogf] A322940 7.67896 [-(f(x)+1)*(2*f(x)*x^2+3*f(x)*x-4*x^2-f(x)-x+1) ogf] A322940 7.92403 [{-a(n+3)+3*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4} ogf] A322943 12.7363 [-(x-2)*(x^2-x+1)/(x-1)^4 lgdegf] A323142 5.60135 [-(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-100)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A323142 5.8397 [-(9*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-100)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A323178 14.1789 [-(101*x^2+98*x+1)/(x-1)^3 ogf] A323178 17.0147 [-(101*x^2+98*x+1)/(x-1)^3 ogf] A323178 5.67156 [(328*f(x)-22315)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+101*x^2-f(x)+98*x+1) ogf] A323178 6.30174 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=101,a(2)=401} ogf] A323191 4.22938 [{-a(n+6)-a(n+5)-a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=1,a(3)=-1,a(4)=0,a(5)=-1} ogf] A323191 6.9856 [-(x-1)*(x^4+x^3+x^2+x+1)/(x+1)/(x^4+1) ogf] A323191 7.67553 [-(x-1)*(x^4+x^3+x^2+x+1)/(x+1)/(x^4+1) ogf] A323202 4.7036 [{a(n+4)+a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=-1,a(2)=0,a(3)=-1} ogf] A323202 5.2121 [-(2*f(x)+5)*(f(x)*x^3+f(x)*x^2+x^3+f(x)*x+f(x)-1) ogf] A323202 7.92525 [-(x-1)*(x^2+x+1)/(x+1)/(x^2+1) ogf] A323202 8.90067 [-(x-1)*(x^2+x+1)/(x+1)/(x^2+1) ogf] A323210 10.5228 [(8*x^3-24*x^2+6*x+1)/(x-1)/(2*x+1)/(4*x-1) ogf] A323210 11.7983 [(8*x^3-24*x^2+6*x+1)/(x-1)/(2*x+1)/(4*x-1) ogf] A323210 6.22948 [{a(n+4)-3*a(n+3)-6*a(n+2)+8*a(n+1),a(0)=1,a(1)=9,a(2)=9,a(3)=81} ogf] A323210 6.27972 [-(f(x)-1)*(8*f(x)*x^3-6*f(x)*x^2-8*x^3-3*f(x)*x+24*x^2+f(x)-6*x-1) ogf] A323218 16.0921 [(7*x^3-25*x^2+25*x+1)/(x-1)^4 ogf] A323218 19.086 [(7*x^3-25*x^2+25*x+1)/(x-1)^4 ogf] A323218 5.62123 [(2924*f(x)+37897)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-7*x^3-4*f(x)*x+25*x^2+f(x)-25*x-1) ogf] A323218 5.9471 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=29,a(2)=85,a(3)=177} ogf] A323219 4.92896 [108*f(x)^3*x^4+216*f(x)^2*x^4+323*f(x)^3*x^2+144*f(x)*x^4-2*f(x)^2*x^2+32*x^4-3*f(x)^3+3*f(x)*x^2 ogf] A323220 13.9878 [(8*x^4-31*x^3+41*x^2-18*x-1)/(x-1)^5 ogf] A323220 16.1398 [(8*x^4-31*x^3+41*x^2-18*x-1)/(x-1)^5 ogf] A323220 4.87946 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=23,a(2)=64,a(3)=131,a(4)=232} ogf] A323221 17.268 [(3*x^3-8*x^2+5*x+1)/(x-1)^4 ogf] A323221 20.6373 [(3*x^3-8*x^2+5*x+1)/(x-1)^4 ogf] A323221 6.13137 [(6*f(x)-13)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+8*x^2+f(x)-5*x-1) ogf] A323221 6.22154 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=22,a(3)=41} ogf] A323223 14.4253 [-(14*x-11)/(4*x-1)/(x-1) lgdogf] A323223 4.47683 [{a(n+3)*n-5*a(n+2)*n+4*a(n+1)*n+2*a(n+3)-16*a(n+2)+14*a(n+1),a(0)=0,a(1)=1,a(2)=11} ogf] A323225 12.3185 [x*(3*x^2-3*x+1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A323225 14.0474 [x*(3*x^2-3*x+1)/(2*x^2-2*x+1)/(2*x-1)^2 ogf] A323225 5.84453 [(32*f(x)+43)*(8*f(x)*x^4-16*f(x)*x^3+14*f(x)*x^2-3*x^3-6*f(x)*x+3*x^2+f(x)-x) ogf] A323225 5.93111 [{a(n+4)-6*a(n+3)+14*a(n+2)-16*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=7} ogf] A323227 11.2414 [-(x^4-2*x^3+x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A323227 12.625 [-(x^4-2*x^3+x^2-2*x+1)/(2*x-1)/(x-1)^2 ogf] A323227 6.03401 [{a(n+5)-4*a(n+4)+5*a(n+3)-2*a(n+2),a(0)=1,a(1)=2,a(2)=4,a(3)=6,a(4)=9} ogf] A323227 6.46162 [(f(x)+3)*(2*f(x)*x^3+x^4-5*f(x)*x^2-2*x^3+4*f(x)*x+x^2-f(x)-2*x+1) ogf] A323228 11.3003 [-(x^5-5*x^4+10*x^3-10*x^2+4*x-1)/(x-1)^6 ogf] A323228 12.7352 [-(x^5-5*x^4+10*x^3-10*x^2+4*x-1)/(x-1)^6 ogf] A323228 3.99164 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7,a(3)=22,a(4)=57,a(5)=127} ogf] A323229 4.51009 [4*f(x)^2*x^4-9*f(x)^2*x^3+6*f(x)^2*x^2+12*f(x)*x^3-f(x)^2*x-19*f(x)*x^2+x^3+8*f(x)*x+6*x^2-f(x)-5*x+1 ogf] A323229 5.88722 [-1/2*(2*I*x^2-3*I*x+3*x*(4*x-1)^(1/2)+I-(4*x-1)^(1/2))/(4*x-1)^(1/2)/x/(x-1) ogf] A323230 5.06239 [4*f(x)^2*x^3-9*f(x)^2*x^2+x^4+6*f(x)^2*x+8*f(x)*x^2-2*x^3-f(x)^2-10*f(x)*x+x^2+2*f(x)+4*x-1 ogf] A323230 8.8734 [(-4*x+1+(-x^2*(4*x-1)*(x-1)^2)^(1/2))/(4*x-1)/(x-1) ogf] A323232 11.3381 [-8*f(x)*x^2-3*f(x)*x+8*x^2+f(x)-1 ogf] A323232 16.8812 [(8*x^2-1)/(8*x^2+3*x-1) ogf] A323232 20.5312 [(8*x^2-1)/(8*x^2+3*x-1) ogf] A323232 8.08143 [{-a(n+3)+3*a(n+2)+8*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A323260 10.271 [-2*x*(x+1)*(x-1)^3/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323260 11.3382 [-2*x*(x+1)*(x-1)^3/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323260 4.66865 [{a(n+6)-5*a(n+5)+3*a(n+4)+5*a(n+3)-7*a(n+2)+a(n+1),a(0)=0,a(1)=2,a(2)=6,a(3)=24,a(4)=96,a(5)=390} ogf] A323261 10.815 [-x*(x+1)*(x-1)^3/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323261 11.9386 [-x*(x+1)*(x-1)^3/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323261 4.91589 [{a(n+6)-5*a(n+5)+3*a(n+4)+5*a(n+3)-7*a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=3,a(3)=12,a(4)=48,a(5)=195} ogf] A323262 4.64382 [{a(n+6)-5*a(n+5)+3*a(n+4)+5*a(n+3)-7*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=5,a(3)=20,a(4)=83,a(5)=337} ogf] A323262 9.00039 [(x+1)*(x^2-3*x+1)*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323262 9.80941 [(x+1)*(x^2-3*x+1)*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323263 10.3374 [-x^2*(x^2-x-1)*(x-1)^2/(x+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323263 4.64224 [{a(n+7)-4*a(n+6)-2*a(n+5)+8*a(n+4)-2*a(n+3)-6*a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=12,a(5)=49,a(6)=197} ogf] A323263 9.54975 [-x^2*(x^2-x-1)*(x-1)^2/(x+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323264 8.726 [x^3*(3*x^3-2*x^2+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1)/(x+1)^2 ogf] A323264 9.54727 [x^3*(3*x^3-2*x^2+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1)/(x+1)^2 ogf] A323265 11.1065 [2*x*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323265 12.4735 [2*x*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323265 4.88419 [{-a(n+5)+5*a(n+4)-3*a(n+3)-5*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=6,a(3)=26,a(4)=102} ogf] A323266 12.363 [x*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323266 13.9843 [x*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323266 5.16997 [{-a(n+5)+5*a(n+4)-3*a(n+3)-5*a(n+2)+7*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=13,a(4)=51} ogf] A323267 10.0125 [x^3*(x^3-2*x^2+2*x+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1)/(x+1)^2 ogf] A323267 9.18674 [x^3*(x^3-2*x^2+2*x+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1)/(x+1)^2 ogf] A323268 10.9987 [-2*x^4*(x-1)/(x+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323268 4.45736 [{a(n+6)-4*a(n+5)-2*a(n+4)+8*a(n+3)-2*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2,a(5)=6} ogf] A323268 9.96351 [-2*x^4*(x-1)/(x+1)/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323269 4.12806 [{-a(n+6)+5*a(n+5)-3*a(n+4)-5*a(n+3)+7*a(n+2)-a(n+1),a(0)=1,a(1)=5,a(2)=19,a(3)=76,a(4)=307,a(5)=1245} ogf] A323269 7.80653 [-(x+1)*(x^2-x-1)*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323269 8.47806 [-(x+1)*(x^2-x-1)*(x-1)^2/(x^5-7*x^4+5*x^3+3*x^2-5*x+1) ogf] A323270 4.79731 [x*(x-1)*(x^9-14*x^7-3*x^6+35*x^5-18*x^4-17*x^3+24*x^2-13*x+3)/(x^10+2*x^9-11*x^8-6*x^7+32*x^6-20*x^5-16*x^4+30*x^3-20*x^2+7*x-1) ogf] A323270 5.00818 [x*(x-1)*(x^9-14*x^7-3*x^6+35*x^5-18*x^4-17*x^3+24*x^2-13*x+3)/(x^10+2*x^9-11*x^8-6*x^7+32*x^6-20*x^5-16*x^4+30*x^3-20*x^2+7*x-1) ogf] A323277 4.93789 [{144*a(n)*n+a(n+2)*n-24*a(n+1)*n+72*a(n)+a(n+2)-18*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A323277 5.23417 [5184*f(x)^2*x^3-1296*f(x)^2*x^2-144*f(x)*x^3+108*f(x)^2*x+24*f(x)*x^2+x^3-3*f(x)^2-f(x)*x ogf] A323277 9.81406 [1/6*((-12*x+1)^(1/2)-1)/(-12*x+1)^(1/2)*x/(12*x-1) ogf] A323288 3.63625 [2*(41*x^14+x^13+x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A323288 3.76669 [2*(41*x^14+x^13+x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A323294 11.274 [(5*x^7-17*x^6+20*x^5-8*x^4-3*x^2+3*x-1)/(x-1)^3 ogf] A323294 12.6201 [(5*x^7-17*x^6+20*x^5-8*x^4-3*x^2+3*x-1)/(x-1)^3 ogf] A323297 8.66398 [1/2*exp(x)*x^2+exp(x)*x+5/6*x^3-x^2-x+1 lgdegf] A323298 19.0822 [-855*x^7-75*x^6+x^3+1 ogf] A323325 15.9982 [1/4+3/4*hypergeom([1/2,1/2,1/2],[1,2],64*x) ogf] A323325 6.19827 [{a(n+1)*n^3-64*a(n)*n^3+4*a(n+1)*n^2-96*a(n)*n^2+5*a(n+1)*n-48*a(n)*n+2*a(n+1)-8*a(n),a(0)=1,a(1)=3} ogf] A323397 15.6048 [x*(7*x-2)/(4*x-1)/(x-1)^2 ogf] A323397 18.6496 [x*(7*x-2)/(4*x-1)/(x-1)^2 ogf] A323397 6.70732 [-(185*f(x)-57)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-7*x^2-f(x)+2*x) ogf] A323397 7.42363 [{-a(n+3)+6*a(n+2)-9*a(n+1)+4*a(n),a(0)=0,a(1)=2,a(2)=5} ogf] A323416 24.4831 [1/(10*x-1)/(x-1) egf] A323416 32.0164 [1/(10*x-1)/(x-1) egf] A323416 4.62459 [{10*a(n+1)*n^2-11*a(n+2)*n+50*a(n+1)*n+a(n+3)-33*a(n+2)+60*a(n+1),a(0)=1,a(1)=11,a(2)=222} ogf] A323416 9.67938 [(101*f(x)+20)*(10*f(x)*x^2-11*f(x)*x+f(x)-1) egf] A323422 7.25459 [3*x*(4*x^9+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A323422 7.71889 [3*x*(4*x^9+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A323496 21.8432 [-(f(x)-1)^3 ogf] A323497 9.77253 [(f(x)-1)*(-6890625*x^8+f(x)^2-f(x)) ogf] A323499 6.54503 [(x^7+15*x^5+2*x^4+50*x^3+12*x^2+30*x+6)/(x^6+9*x^4+2*x^3+14*x^2+6*x+2) lgdegf] A323533 22.8756 [(f(x)-1)^2 ogf] A323534 24.6217 [(f(x)-1)^2 ogf] A323535 25.3004 [(f(x)-1)^2 ogf] A323538 24.4097 [(f(x)-1)^2 ogf] A323538 4.84604 [5414310778329020005044522293503125000*x^15*(103367419703613038934417600*x^3+271909581050250000*x^2+703956825*x+2) lgdogf] A323610 12.4615 [-f(x)*x^2+2*f(x)*x-8*x^2-f(x)-32*x+48 ogf] A323610 20.2153 [-8*(x^2+4*x-6)/(x-1)^2 ogf] A323610 24.5861 [-8*(x^2+4*x-6)/(x-1)^2 ogf] A323610 9.37821 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=48,a(1)=64,a(2)=72} ogf] A323614 10.5885 [-f(x)*x^2+2*f(x)*x-32*x^2-f(x)-96*x+144 ogf] A323614 17.2639 [-16*(2*x^2+6*x-9)/(x-1)^2 ogf] A323614 20.8984 [-16*(2*x^2+6*x-9)/(x-1)^2 ogf] A323614 7.94141 [{-a(n+3)+2*a(n+2)-a(n+1),a(0)=144,a(1)=192,a(2)=208} ogf] A323618 10.1716 [1/2*ln(x+1)*(x+1)*(ln(x+1)+2) egf] A323620 4.44928 [{a(n+1)*n^2+2*a(n+2)*n+a(n+1)*n+a(n+3)+2*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=0} ogf] A323620 6.93924 [-1/5*5^(1/2)*(-(x+1)^(1/2+1/2*5^(1/2))+(x+1)^(1/2-1/2*5^(1/2))) egf] A323629 14.27 [-8*(x^6+2*x^2+8*x-12)/(x-1)^2 ogf] A323629 16.7517 [-8*(x^6+2*x^2+8*x-12)/(x-1)^2 ogf] A323629 4.97149 [{a(n+7)-2*a(n+6)+a(n+5),a(0)=96,a(1)=128,a(2)=144,a(3)=160,a(4)=176,a(5)=192,a(6)=200} ogf] A323633 3.80982 [1/(x+1)/(x^26-x^25+x^24-x^23+x^22-x^21+x^20-x^19+x^18-x^17+x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8+1) ogf] A323633 3.97023 [1/(x+1)/(x^26-x^25+x^24-x^23+x^22-x^21+x^20-x^19+x^18-x^17+x^16-x^15+x^14-x^13+x^12-x^11+x^10-x^9+x^8+1) ogf] A323639 15.2226 [(13*x-1)/(10*x-1)/(x-1) ogf] A323639 18.3452 [(13*x-1)/(10*x-1)/(x-1) ogf] A323639 7.77677 [-(f(x)+1)*(10*f(x)*x^2-11*f(x)*x+f(x)-13*x+1) ogf] A323639 9.41398 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=-1,a(1)=2} ogf] A323664 12.4922 [exp(-x)*HeunC(4/3,1,-2,0,1/6,-3*x) lgdegf] A323666 10.3687 [2*exp(2*x)*(BesselI(0,2*x)+BesselI(1,2*x)) lgdegf] A323667 14.0742 [exp(-2*x)*HeunC(2,2,-2,1,-1,-2*x) lgdegf] A323668 6.81765 [exp(2*x)*(4*BesselI(0,2*x)*x+4*BesselI(1,2*x)*x-BesselI(1,2*x))/x lgdegf] A323672 13.7895 [exp(-x)*HeunC(4,3,-2,0,-3/2,-x) lgdegf] A323709 10.0821 [-(13*x^6+9*x^5-11*x^4-27*x^3-7*x^2+x-2)/(x^4-x^2-2*x+1) ogf] A323709 5.28112 [{-a(n+7)+2*a(n+6)+a(n+5)-a(n+3),a(0)=2,a(1)=3,a(2)=15,a(3)=60,a(4)=144,a(5)=336,a(6)=788} ogf] A323709 9.24196 [-(13*x^6+9*x^5-11*x^4-27*x^3-7*x^2+x-2)/(x^4-x^2-2*x+1) ogf] A323723 13.3377 [2*x^2*(x^3+3*x+2)/(x+1)^2/(x-1)^4 ogf] A323723 15.351 [2*x^2*(x^3+3*x+2)/(x+1)^2/(x-1)^4 ogf] A323723 4.17231 [{a(n+6)-2*a(n+5)-a(n+4)+4*a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=4,a(3)=14,a(4)=32,a(5)=64} ogf] A323724 12.0268 [2*x^2*(x^3+3*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A323724 13.6041 [2*x^2*(x^3+3*x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A323724 4.27759 [{a(n+6)-2*a(n+5)-a(n+4)+4*a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=6,a(4)=20,a(5)=40} ogf] A323735 11.0351 [(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A323735 12.3145 [(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A323735 4.37989 [{a(n+6)-2*a(n+5)+2*a(n+4)-2*a(n+3)+2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=2,a(3)=2,a(4)=3,a(5)=4} ogf] A323770 13.1369 [-(x^2-5*x+5)/(x-2)/(x-1)^2 lgdegf] A323798 10.302 [x*(x^2-3)/(x^2+x-1)/(x^5-2*x^3-2*x+1) ogf] A323798 11.4964 [x*(x^2-3)/(x^2+x-1)/(x^5-2*x^3-2*x+1) ogf] A323812 4.68638 [{-a(n+6)+2*a(n+5)+2*a(n+4)-4*a(n+3)-2*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=5,a(3)=10,a(4)=19,a(5)=35} ogf] A323812 9.14077 [-(x^5+3*x^4-2*x^3-3*x^2+x+1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A323812 9.92707 [-(x^5+3*x^4-2*x^3-3*x^2+x+1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A323824 14.658 [-(5*x-6)/(4*x-1)/(x-1) ogf] A323824 17.5181 [-(5*x-6)/(4*x-1)/(x-1) ogf] A323824 8.16182 [(77*f(x)+163)*(4*f(x)*x^2-5*f(x)*x+f(x)+5*x-6) ogf] A323824 9.57654 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=6,a(1)=25} ogf] A323847 13.2855 [-(x^4-6*x^3+10*x^2-5*x+1)/(x-1)^5 ogf] A323847 15.2538 [-(x^4-6*x^3+10*x^2-5*x+1)/(x-1)^5 ogf] A323847 4.99214 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=4,a(4)=16} ogf] A323936 10.5981 [(x-1)*(3*x^3-x^2-2*x+1)/(2*x^2-1)/(-1+2*x)^2 ogf] A323936 4.71787 [{-a(n+5)+4*a(n+4)-2*a(n+3)-8*a(n+2)+8*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=6,a(4)=15} ogf] A323936 5.0087 [(1+10*f(x))*(8*f(x)*x^4-8*f(x)*x^3-3*x^4-2*f(x)*x^2+4*x^3+4*f(x)*x+x^2-f(x)-3*x+1) ogf] A323936 9.49702 [(x-1)*(3*x^3-x^2-2*x+1)/(2*x^2-1)/(-1+2*x)^2 ogf] A323939 7.3497 [-x*(x^7-2*x^6+3*x^5-22*x^4+x^3+14*x^2-x-2)/(x+1)^2/(3*x^2-1)^2/(x-1)^4 ogf] A323939 7.87941 [-x*(x^7-2*x^6+3*x^5-22*x^4+x^3+14*x^2-x-2)/(x+1)^2/(3*x^2-1)^2/(x-1)^4 ogf] A323941 5.71235 [-(72*x^10-387*x^9+663*x^8-672*x^7+402*x^6+22*x^5-250*x^4+192*x^3-70*x^2+13*x-1)/(3*x^2-1)^2/(3*x-1)^4/(x-1)^4 ogf] A323941 6.02536 [-(72*x^10-387*x^9+663*x^8-672*x^7+402*x^6+22*x^5-250*x^4+192*x^3-70*x^2+13*x-1)/(3*x^2-1)^2/(3*x-1)^4/(x-1)^4 ogf] A323950 3.78205 [{-a(n+8)+4*a(n+7)-6*a(n+6)+5*a(n+5)-3*a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=2,a(4)=6,a(5)=12,a(6)=23,a(7)=44} ogf] A323950 7.32122 [(x^7-3*x^6+3*x^5-2*x^4+x^3-3*x^2+3*x-1)/(x^3-x^2+2*x-1)/(x-1)^2 ogf] A323950 7.90112 [(x^7-3*x^6+3*x^5-2*x^4+x^3-3*x^2+3*x-1)/(x^3-x^2+2*x-1)/(x-1)^2 ogf] A323951 10.8611 [(x^7-2*x^6+x^3-3*x^2+3*x-1)/(x^3+x-1)/(x-1)^2 ogf] A323951 9.83889 [(x^7-2*x^6+x^3-3*x^2+3*x-1)/(x^3+x-1)/(x-1)^2 ogf] A323967 10.1155 [-(x^7-5*x^6+7*x^5+3*x^4-17*x^3+18*x^2-6*x+1)/(x-1)^7 ogf] A323967 9.18534 [-(x^7-5*x^6+7*x^5+3*x^4-17*x^3+18*x^2-6*x+1)/(x-1)^7 ogf] A323968 7.31655 [-(2*x^9-15*x^8+47*x^7-78*x^6+65*x^5-10*x^4-26*x^3+25*x^2-6*x+1)/(x-1)^9 ogf] A323968 7.90188 [-(2*x^9-15*x^8+47*x^7-78*x^6+65*x^5-10*x^4-26*x^3+25*x^2-6*x+1)/(x-1)^9 ogf] A323969 5.75456 [-(3*x^11-29*x^10+125*x^9-314*x^8+501*x^7-517*x^6+323*x^5-84*x^4-20*x^3+30*x^2-5*x+1)/(x-1)^11 ogf] A323969 6.11993 [-(3*x^11-29*x^10+125*x^9-314*x^8+501*x^7-517*x^6+323*x^5-84*x^4-20*x^3+30*x^2-5*x+1)/(x-1)^11 ogf] A323970 4.65893 [-(4*x^13-47*x^12+253*x^11-822*x^10+1788*x^9-2728*x^8+2958*x^7-2253*x^6+1145*x^5-308*x^4+21*x^3+33*x^2-3*x+1)/(x-1)^13 ogf] A323970 4.90095 [-(4*x^13-47*x^12+253*x^11-822*x^10+1788*x^9-2728*x^8+2958*x^7-2253*x^6+1145*x^5-308*x^4+21*x^3+33*x^2-3*x+1)/(x-1)^13 ogf] A323978 8.92267 [24*x*(6*x^4+6*x^3+7*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) lgdogf] A323979 5.5869 [120*x*(10*x^8+20*x^7+31*x^6+34*x^5+31*x^4+21*x^3+11*x^2+4*x+1)/(x+1)/(x-1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) lgdogf] A323980 6.69865 [12*(6*x^5+3*x^4+3*x^3+5*x^2+3*x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) lgdogf] A323988 3.58742 [{-a(n+4)*n+2*a(n+3)*n+4*a(n+2)*n-8*a(n+1)*n-4*a(n+4)+8*a(n+3)+12*a(n+2)-24*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=10} ogf] A323988 5.48804 [16*f(x)^2*x^4-16*f(x)^2*x^3+8*f(x)*x^3+4*f(x)^2*x-4*f(x)*x^2-f(x)^2-2*f(x)*x+x^2+f(x) ogf] A324001 7.26785 [-(6*x^7+8*x^6+3*x^5+12*x^4+3*x^3+8*x^2+6*x+6)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A324001 7.74443 [-(6*x^7+8*x^6+3*x^5+12*x^4+3*x^3+8*x^2+6*x+6)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A324002 4.43727 [-(4*x^11+3*x^10+12*x^9+3*x^8+4*x^7+18*x^6+4*x^5+3*x^4+12*x^3+3*x^2+4*x+9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A324002 4.60959 [-(4*x^11+3*x^10+12*x^9+3*x^8+4*x^7+18*x^6+4*x^5+3*x^4+12*x^3+3*x^2+4*x+9)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf] A324015 11.4685 [x*(x^3-x^2+1)/(x-1)/(x^2+x-1) ogf] A324015 12.9726 [x*(x^3-x^2+1)/(x-1)/(x^2+x-1) ogf] A324015 6.7635 [{a(n+5)-2*a(n+4)+a(n+2),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=6} ogf] A324015 8.07479 [(55*f(x)+9)*(f(x)*x^3-x^4+x^3-2*f(x)*x+f(x)-x) ogf] A324036 5.61179 [(x^7+x^6+7*x^5+5*x^4+11*x^3+x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A324036 6.05193 [(x^7+x^6+7*x^5+5*x^4+11*x^3+x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A324128 10.2816 [2*(x^5-x^4-2*x^3+x^2+x-1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A324128 4.85375 [{-a(n+6)+2*a(n+5)+2*a(n+4)-4*a(n+3)-2*a(n+2)+2*a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=6,a(3)=12,a(4)=26,a(5)=50} ogf] A324128 9.46722 [2*(x^5-x^4-2*x^3+x^2+x-1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A324129 3.96747 [{-a(n+6)+2*a(n+5)+2*a(n+4)-4*a(n+3)-2*a(n+2)+2*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=6,a(4)=13,a(5)=25} ogf] A324129 8.01674 [(x^5-x^4-2*x^3+x^2+x-1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A324129 8.73734 [(x^5-x^4-2*x^3+x^2+x-1)/(x-1)/(x+1)/(x^2+x-1)^2 ogf] A324151 14.739 [hypergeom([1/3,2/3],[3],27*x) ogf] A324151 4.30965 [{a(n+2)*n^2-27*a(n+1)*n^2+6*a(n+2)*n-81*a(n+1)*n+8*a(n+2)-60*a(n+1),a(0)=1,a(1)=2} ogf] A324152 3.01357 [{-256*a(n)*n^3+a(n+1)*n^3-384*a(n)*n^2+6*a(n+1)*n^2-176*a(n)*n+9*a(n+1)*n-24*a(n)+4*a(n+1),a(0)=1,a(1)=3} ogf] A324152 7.83529 [1/2+1/2*hypergeom([1/4,1/2,3/4],[1,4],256*x) ogf] A324160 10.277 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A324160 9.49396 [1/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A324161 7.9987 [x*(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A324161 8.44001 [x*(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A324167 6.94749 [3*f(x)^2*x^2+f(x)^3-5*f(x)^2*x-f(x)^2+5*f(x)*x-f(x)+1 ogf] A324168 4.80181 [f(x)^3*x^3-3*f(x)^3*x^2+3*f(x)^3*x-7*f(x)^2*x^2-f(x)^3+3*f(x)^2*x+f(x)^2-6*f(x)*x+f(x)-1 ogf] A324169 5.33752 [-f(x)^2*x^3-3*f(x)^2*x^2-3*f(x)^2*x+3*f(x)*x^2-f(x)^2+7*f(x)*x+2*f(x)-4*x-1 ogf] A324169 7.76906 [-1/2*(-3*x^2+(-x^2*(7*x^2+10*x-1))^(1/2)-7*x-2)/(x+1)^3 ogf] A324172 19.8579 [2*x^4/(-1+2*x)/(x-1)^3 ogf] A324172 24.672 [2*x^4/(-1+2*x)/(x-1)^3 ogf] A324172 5.42783 [{-a(n+5)+5*a(n+4)-9*a(n+3)+7*a(n+2)-2*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A324172 7.20509 [f(x)*(2*f(x)*x^4-7*f(x)*x^3-2*x^4+9*f(x)*x^2-5*f(x)*x+f(x)) ogf] A324174 12.5828 [-2*(2*x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A324174 14.3488 [-2*(2*x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A324221 5.57036 [x*(x^10-x^9-x^8+4*x^7+6*x^5-x^4+4*x^3-x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A324221 5.88418 [x*(x^10-x^9-x^8+4*x^7+6*x^5-x^4+4*x^3-x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^6 ogf] A324245 10.1812 [x*(x^6+x^5+4*x^4+3*x^3+5*x^2+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A324245 11.057 [x*(x^6+x^5+4*x^4+3*x^3+5*x^2+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A324265 15.1459 [{a(n+1)-343*a(n),a(0)=5} ogf] A324265 16.2026 [-343*f(x)*x+f(x)-5 ogf] A324265 25.8041 [-5/(343*x-1) ogf] A324265 36.669 [-5/(343*x-1) ogf] A324266 16.5586 [{a(n+1)-49*a(n),a(0)=2} ogf] A324266 17.7413 [-49*f(x)*x+f(x)-2 ogf] A324266 28.659 [-2/(49*x-1) ogf] A324266 41.3964 [-2/(49*x-1) ogf] A324267 12.9193 [{a(n+1)-16807*a(n),a(0)=11} ogf] A324267 13.7618 [-16807*f(x)*x+f(x)-11 ogf] A324267 21.1015 [-11/(16807*x-1) ogf] A324267 28.7747 [-11/(16807*x-1) ogf] A324268 12.2958 [{a(n+1)-161051*a(n),a(0)=31} ogf] A324268 13.0806 [-161051*f(x)*x+f(x)-31 ogf] A324268 19.8319 [-31/(161051*x-1) ogf] A324268 26.73 [-31/(161051*x-1) ogf] A324269 14.7765 [{a(n+1)-121*a(n),a(0)=3} ogf] A324269 15.8075 [-121*f(x)*x+f(x)-3 ogf] A324269 25.1748 [-3/(121*x-1) ogf] A324269 35.7748 [-3/(121*x-1) ogf] A324270 13.5853 [{a(n+1)-823543*a(n),a(0)=13} ogf] A324270 14.4524 [-823543*f(x)*x+f(x)-13 ogf] A324270 21.9117 [-13/(823543*x-1) ogf] A324270 29.5332 [-13/(823543*x-1) ogf] A324272 15.5419 [{a(n+1)-169*a(n),a(0)=2} ogf] A324272 16.6262 [-169*f(x)*x+f(x)-2 ogf] A324272 26.4787 [-2/(169*x-1) ogf] A324272 37.6276 [-2/(169*x-1) ogf] A324275 7.65728 [-(x^6-x^5+6*x^3+3*x^2+7*x+2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A324275 8.34558 [-(x^6-x^5+6*x^3+3*x^2+7*x+2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A324311 11.4521 [x*hypergeom([1/2,1/2],[2],16*x) revogf] A324313 11.4427 [x*hypergeom([1/3,2/3],[2],27*x) revogf] A324352 11.0801 [-(exp(x)-1)*exp(-x)/(x-1)^3 egf] A324352 2.65053 [{-a(n+2)*n^2-a(n+1)*n^2+2*a(n+3)*n-7*a(n+2)*n-6*a(n+1)*n-a(n+4)+9*a(n+3)-13*a(n+2)-8*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=28} ogf] A324353 14.3527 [-(-1+exp(-x))/(x-1)^4 egf] A324353 2.73652 [{a(n+2)*n^2+a(n+1)*n^2-2*a(n+3)*n+9*a(n+2)*n+7*a(n+1)*n+a(n+4)-11*a(n+3)+22*a(n+2)+10*a(n+1),a(0)=0,a(1)=1,a(2)=7,a(3)=49} ogf] A324354 16.1698 [(-1+exp(-x))/(x-1)^5 egf] A324354 2.82031 [{-a(n+2)*n^2-a(n+1)*n^2+2*a(n+3)*n-11*a(n+2)*n-8*a(n+1)*n-a(n+4)+13*a(n+3)-33*a(n+2)-12*a(n+1),a(0)=0,a(1)=1,a(2)=9,a(3)=76} ogf] A324355 13.9393 [-(-1+exp(-x))/(x-1)^6 egf] A324356 15.5112 [(-1+exp(-x))/(x-1)^7 egf] A324357 14.673 [-(-1+exp(-x))/(x-1)^8 egf] A324358 16.3101 [(-1+exp(-x))/(x-1)^9 egf] A324359 13.25 [-(-1+exp(-x))/(x-1)^10 egf] A324360 14.7222 [(-1+exp(-x))/(x-1)^11 egf] A324434 24.1942 [-(f(x)-1)^3 ogf] A324435 22.8615 [-(f(x)-1)^3 ogf] A324471 8.15196 [-x^2*(10*x^8-x^7-x^6-x^5-x^4+4*x^3-2*x^2+x+1)/(x-1) ogf] A324471 8.87657 [-x^2*(10*x^8-x^7-x^6-x^5-x^4+4*x^3-2*x^2+x+1)/(x-1) ogf] A324478 10.1437 [hypergeom([1/4,1/2,3/4],[1,4],256*x) ogf] A324478 2.57965 [{-a(n+2)*n^3+256*a(n+1)*n^3-9*a(n+2)*n^2+1152*a(n+1)*n^2-24*a(n+2)*n+1712*a(n+1)*n-20*a(n+2)+840*a(n+1),a(0)=1,a(1)=6} ogf] A324483 7.31391 [(x^2+x-1)^2*(x^2-x-1)^2/(x^2-3*x+1)/(x-1)^2/(x+1)^4 ogf] A324483 8.00228 [(x^2+x-1)^2*(x^2-x-1)^2/(x^2-3*x+1)/(x-1)^2/(x+1)^4 ogf] A324487 3.80401 [x*(x^2+1)*(x^8+3*x^7+47*x^6+96*x^5+104*x^4-96*x^3+47*x^2-3*x+1)/(x+1)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A324487 3.94296 [x*(x^2+1)*(x^8+3*x^7+47*x^6+96*x^5+104*x^4-96*x^3+47*x^2-3*x+1)/(x-1)/(x+1)/(x^2+3*x+1)/(x^2-3*x+1)/(x^2+x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A324560 12.6979 [-(x^4-2*x^2-2)/(x^2+1)/(x-1)^2 ogf] A324560 14.48 [-(x^4-2*x^2-2)/(x^2+1)/(x-1)^2 ogf] A324560 5.35949 [{-a(n+5)+2*a(n+4)-2*a(n+3)+2*a(n+2)-a(n+1),a(0)=2,a(1)=4,a(2)=6,a(3)=8,a(4)=9} ogf] A324560 7.43569 [f(x)*x^4-2*f(x)*x^3+x^4+2*f(x)*x^2-2*f(x)*x-2*x^2+f(x)-2 ogf] A324591 28.1485 [2*x^2+2*x+2 lgdegf] A324591 3.84467 [{-2*a(n+1)*n^2-2*a(n+2)*n-10*a(n+1)*n-2*a(n+3)-6*a(n+2)-12*a(n+1)+a(n+4),a(0)=1,a(1)=2,a(2)=6,a(3)=24} ogf] A324631 4.56018 [{a(n+5)-2*a(n+4)-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=15,a(1)=31,a(2)=60,a(3)=113,a(4)=215} ogf] A324631 7.7207 [-(10*x^4+23*x^3+17*x^2-x-15)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A324631 8.38484 [-(10*x^4+23*x^3+17*x^2-x-15)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A324651 5.31311 [(x-1)*(6*x^2+2*x+1)*(x^4+x^3+x^2+x+1)*(x^2+x+1)*(500*x^12+100*x^9+20*x^6+4*x^3+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(7*x^15-1) ogf] A324651 5.52147 [(x-1)*(6*x^2+2*x+1)*(x^4+x^3+x^2+x+1)*(x^2+x+1)*(500*x^12+100*x^9+20*x^6+4*x^3+1)*(x^8-x^7+x^5-x^4+x^3-x+1)/(7*x^15-1) ogf] A324965 4.00717 [x*(2*x^36+3*x^32+2*x^28+x^24+8*x^20+7*x^16+2*x^12+4*x^8+4*x^4+4)/(x-1)/(x^36+3*x^32+x^24-x^20-x^16-2*x^12-4) ogf] A324965 4.20029 [x*(2*x^36+3*x^32+2*x^28+x^24+8*x^20+7*x^16+2*x^12+4*x^8+4*x^4+4)/(x-1)/(x^36+3*x^32+x^24-x^20-x^16-2*x^12-4) ogf] A324969 15.625 [(x-1)*(x+1)/(x^2+x-1) ogf] A324969 18.4028 [(x-1)*(x+1)/(x^2+x-1) ogf] A324969 8.80986 [{-a(n+3)+a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1} ogf] A324969 9.74267 [-f(x)*(f(x)*x^2+f(x)*x-x^2-f(x)+1) ogf] A325138 10.3079 [(-x-ln(x-1)+2+I*Pi)/(x-1)^2 lgdegf] A325140 8.44163 [I*(Pi+I*ln(x-1)+2*I*x-3*I)/(x-1)^2 lgdegf] A325153 10.4137 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=1,a(1)=5,a(2)=33} ogf] A325153 21.0239 [(3*x^2+6*x-1)/(9*x-1)/(x-1)^2 ogf] A325153 24.7615 [(3*x^2+6*x-1)/(9*x-1)/(x-1)^2 ogf] A325153 9.36361 [(4192*f(x)+2505)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x-3*x^2-f(x)-6*x+1) ogf] A325156 12.4573 [-1/2*(-4*x^2+(16*x^4+16*x^3+8*x^2+1)^(1/2)-2*x-1)/(x+1) revogf] A325156 14.4567 [4*f(x)^2*x^2-f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A325157 16.322 [4*f(x)^3*x^2-f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A325168 10.5862 [-x^3*(x^4-x^3-x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A325168 11.8136 [-x^3*(x^4-x^3-x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A325173 11.2607 [-9*(x+1)*(x^4+8*x^3+22*x^2+8*x+1)/(x-1)^7 ogf] A325173 12.6257 [-9*(x+1)*(x^4+8*x^3+22*x^2+8*x+1)/(x-1)^7 ogf] A325205 8.98684 [720*x/(x^6+6*x^5+30*x^4+120*x^3+360*x^2+720*x+720) revegf] A325206 7.68977 [5040*x/(x^7+7*x^6+42*x^5+210*x^4+840*x^3+2520*x^2+5040*x+5040) revegf] A325207 6.60096 [40320*x/(x^8+8*x^7+56*x^6+336*x^5+1680*x^4+6720*x^3+20160*x^2+40320*x+40320) revegf] A325208 5.76117 [362880*x/(x^9+9*x^8+72*x^7+504*x^6+3024*x^5+15120*x^4+60480*x^3+181440*x^2+362880*x+362880) revegf] A325228 7.08797 [-x^4*(x^10-x^6-2*x^5-x^4+2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A325228 7.62291 [-x^4*(x^10-x^6-2*x^5-x^4+2*x^2+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A325246 4.08708 [-(2*x^13-x^12+2*x^11-4*x^10-x^9-3*x^8-2*x^6+2*x^5+2*x^3-x^2-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A325246 4.25649 [-(2*x^13-x^12+2*x^11-4*x^10-x^9-3*x^8-2*x^6+2*x^5+2*x^3-x^2-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x-1)^4 ogf] A325260 6.34162 [-(x^9+x^8+x^7-x^6+x^5+x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325260 6.74748 [-(x^9+x^8+x^7-x^6+x^5+x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325282 10.6262 [-x*(x^41+x^13+x^6+x^3+x^2+x+1)/(x-1) ogf] A325282 9.602 [-x*(x^41+x^13+x^6+x^3+x^2+x+1)/(x-1) ogf] A325413 11.1342 [-x*(x^7-x^6+2*x^4-x^3-x-1)/(x-1)^2 ogf] A325413 12.5045 [-x*(x^7-x^6+2*x^4-x^3-x-1)/(x-1)^2 ogf] A325415 3.28133 [-(x^15+3*x^14+4*x^13+3*x^12+x^11-2*x^10-3*x^9-5*x^8-6*x^7-6*x^6-5*x^5-5*x^4-4*x^3-3*x^2-2*x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A325415 3.40342 [-(x^15+3*x^14+4*x^13+3*x^12+x^11-2*x^10-3*x^9-5*x^8-6*x^7-6*x^6-5*x^5-5*x^4-4*x^3-3*x^2-2*x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A325450 3.83583 [{a(n+6)-10*a(n+2),a(0)=9,a(1)=18,a(2)=45,a(3)=90,a(4)=180,a(5)=351} ogf] A325450 5.97791 [-9*(19*x^5+10*x^4+10*x^3+5*x^2+2*x+1)/(10*x^4-1) ogf] A325450 6.671 [-9*(19*x^5+10*x^4+10*x^3+5*x^2+2*x+1)/(10*x^4-1) ogf] A325473 4.97429 [{a(n+6)-3*a(n+5)+2*a(n+4)+a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=5,a(5)=8} ogf] A325473 8.87884 [(x^5-x^4+x^3-x^2+2*x-1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A325473 9.71449 [(x^5-x^4+x^3-x^2+2*x-1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A325475 16.3615 [-576*x*(x+1)/(x-1)^3 ogf] A325475 20.1013 [-576*x*(x+1)/(x-1)^3 ogf] A325475 6.22606 [(f(x)+144)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+576*x^2-f(x)+576*x) ogf] A325475 6.5143 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=576,a(2)=2304} ogf] A325482 4.93146 [exp(1/2*x*(x+4))*x^2+4*exp(1/2*x*(x+4))*x+5*exp(1/2*x*(x+4))-2*exp(x) egf] A325488 4.80609 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A325488 5.08674 [1/(x^2+x+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A325517 10.996 [-x*(2*x^4+3*x^3+7*x^2+3*x+1)/(x+1)^2/(x-1)^5 ogf] A325517 12.2709 [-x*(2*x^4+3*x^3+7*x^2+3*x+1)/(x+1)^2/(x-1)^5 ogf] A325656 10.8775 [-x*(4*x^4+9*x^3+13*x^2+5*x+1)/(x+1)^2/(x-1)^5 ogf] A325656 12.1206 [-x*(4*x^4+9*x^3+13*x^2+5*x+1)/(x+1)^2/(x-1)^5 ogf] A325657 12.3691 [-x*(3*x+1)*(x^2+1)/(x+1)^2/(x-1)^3 ogf] A325657 13.9913 [-x*(3*x+1)*(x^2+1)/(x+1)^2/(x-1)^3 ogf] A325657 5.20408 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=7,a(4)=16} ogf] A325686 7.89358 [-2*x^6*(5*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325686 8.54459 [-2*x^6*(5*x^3+3*x^2+3*x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325688 9.00294 [-x^3*(5*x^4+4*x^3+2*x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325688 9.85027 [-x^3*(5*x^4+4*x^3+2*x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325689 13.7258 [-x^3*(4*x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A325689 15.7976 [-x^3*(4*x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A325689 4.65152 [{-a(n+6)+a(n+5)+2*a(n+4)-2*a(n+3)-a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=0,a(5)=6} ogf] A325690 7.53486 [-x^3*(x^4+x^3+x^2+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325690 8.13168 [-x^3*(x^4+x^3+x^2+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325691 8.78691 [x^3*(x^4-x-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325691 9.61391 [x^3*(x^4-x-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325695 8.28627 [-x^7*(2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325695 9.0311 [-x^7*(2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325696 8.2582 [-6*x^7*(2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325696 9.00051 [-6*x^7*(2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A325734 5.97253 [(19*x^6+54*x^5+87*x^4+84*x^3+48*x^2+15*x+2)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325734 6.38801 [(19*x^6+54*x^5+87*x^4+84*x^3+48*x^2+15*x+2)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325735 4.91251 [-(19*x^7+80*x^6+162*x^5+206*x^4+167*x^3+84*x^2+24*x+3)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325735 5.18733 [-(19*x^7+80*x^6+162*x^5+206*x^4+167*x^3+84*x^2+24*x+3)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325739 5.03563 [(22*x^7+84*x^6+168*x^5+210*x^4+168*x^3+84*x^2+24*x+3)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325739 5.32545 [(22*x^7+84*x^6+168*x^5+210*x^4+168*x^3+84*x^2+24*x+3)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325740 4.97845 [(44*x^7+172*x^6+342*x^5+424*x^4+337*x^3+168*x^2+48*x+6)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325740 5.26091 [(44*x^7+172*x^6+342*x^5+424*x^4+337*x^3+168*x^2+48*x+6)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325741 5.09683 [(11*x^7+40*x^6+78*x^5+94*x^4+72*x^3+34*x^2+9*x+1)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325741 5.39886 [(11*x^7+40*x^6+78*x^5+94*x^4+72*x^3+34*x^2+9*x+1)/(x+1)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325789 2.64843 [(10*x^31-10*x^30+2*x^21-2*x^20+4*x^13-4*x^12+2*x^7-2*x^6+x^3-x^2-1)/(x-1) ogf] A325829 6.18389 [-x*(8*x^8-10*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A325829 6.55308 [-x*(8*x^8-10*x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A325846 5.8483 [(22*x^6+66*x^5+108*x^4+106*x^3+63*x^2+21*x+3)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325846 6.24819 [(22*x^6+66*x^5+108*x^4+106*x^3+63*x^2+21*x+3)/(7*x^6+21*x^5+35*x^4+35*x^3+21*x^2+7*x+1) ogf] A325909 10.2414 [(x+1)*(x^4+2*x^3+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A325909 11.3637 [(x+1)*(x^4+2*x^3+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A325909 6.7996 [{-a(n+6)+2*a(n+3)-a(n),a(0)=1,a(1)=3,a(2)=2,a(3)=4,a(4)=9,a(5)=5} ogf] A325911 17.3422 [10/(16*x-1)/(x-1) ogf] A325911 21.8176 [10/(16*x-1)/(x-1) ogf] A325911 7.68576 [(257*f(x)+320)*(16*f(x)*x^2-17*f(x)*x+f(x)-10) ogf] A325911 8.56135 [{-a(n+2)+17*a(n+1)-16*a(n),a(0)=10,a(1)=170} ogf] A325951 16.4458 [(3*x^2-4)/(x-1)/(x+1) ogf_with_Euler_transform] A325952 16.7477 [(4*x^2-5)/(x-1)/(x+1) ogf_with_Euler_transform] A325958 18.4392 [-4*(x^2+x+6)/(x-1)^3 ogf] A325958 22.426 [-4*(x^2+x+6)/(x-1)^3 ogf] A325958 6.85754 [(16304*f(x)-300261)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)+4*x+24) ogf] A325958 7.68299 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=24,a(1)=76,a(2)=160} ogf] A326031 4.30792 [-x*(13*x^39-3*x^38-3*x^36-3*x^34-3*x^32-4*x^31-6*x^7+2*x^6+2*x^4+2*x^2+2)/(x+1)/(x^2+1)/(x^4+1)/(3*x^32-2)/(x-1)^2 ogf] A326031 4.50263 [-x*(13*x^39-3*x^38-3*x^36-3*x^34-3*x^32-4*x^31-6*x^7+2*x^6+2*x^4+2*x^2+2)/(x+1)/(x^2+1)/(x^4+1)/(3*x^32-2)/(x-1)^2 ogf] A326034 6.02378 [-x^3*(x^8+x^7+x^6+x^5+x^4+2*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1) ogf] A326034 6.42205 [-x^3*(x^8+x^7+x^6+x^5+x^4+2*x^3+3*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1) ogf] A326100 3.5505 [(x^8+2*x^7+2*x^6-2*x^5-9*x^4-13*x^3-4*x^2+9*x+4)/(x-1)/(x+1)/(x^7+x^6+3*x^5+4*x^4+3*x^3+4*x^2+5*x-1) ogf] A326100 3.73494 [(x^8+2*x^7+2*x^6-2*x^5-9*x^4-13*x^3-4*x^2+9*x+4)/(x-1)/(x+1)/(x^7+x^6+3*x^5+4*x^4+3*x^3+4*x^2+5*x-1) ogf] A326118 8.44251 [x*(2*x^7-2*x^5-x^4+2*x^3-2*x^2-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A326118 9.16874 [x*(2*x^7-2*x^5-x^4+2*x^3-2*x^2-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A326123 29.1442 [(5+x)/(x+1) ogf_with_Euler_transform] A326178 15.3908 [-x*(x^3-x^2-1)/(x-1)^2 ogf] A326178 18.1269 [-x*(x^3-x^2-1)/(x-1)^2 ogf] A326178 6.97188 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=2,a(3)=4,a(4)=5} ogf] A326178 8.1571 [(14*f(x)+277)*(x^4+f(x)*x^2-x^3-2*f(x)*x+f(x)-x) ogf] A326200 19.0459 [-(21*x^29-43*x^28+22*x^27-1)/(x-1)^2 ogf] A326200 21.8162 [-(21*x^29-43*x^28+22*x^27-1)/(x-1)^2 ogf] A326244 2.06438 [-(4*x-1)*(x-1)/(4*x^3-8*x^2+6*x-1) ogf] A326244 2.35412 [-(4*x-1)*(x-1)/(4*x^3-8*x^2+6*x-1) ogf] A326247 17.9902 [x^2*(3*x^2-4*x-1)/(x-1)^5 ogf] A326247 21.88 [x^2*(3*x^2-4*x-1)/(x-1)^5 ogf] A326247 4.90642 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=9,a(4)=32} ogf] A326278 17.8706 [x^2*(x^2-4*x-1)/(x-1)^5 ogf] A326278 21.7345 [x^2*(x^2-4*x-1)/(x-1)^5 ogf] A326278 4.87379 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=9,a(4)=34} ogf] A326290 11.127 [-4*x^2+3*x+1-(x^2*(16*x^2-24*x+1))^(1/2) ogf] A326290 9.10391 [-8*f(x)*x^2-f(x)^2+6*f(x)*x+2*f(x)-6*x-1 ogf] A326329 2.33277 [(3*x-1)/(x^3+x^2+3*x-1) ogf] A326329 2.78794 [(3*x-1)/(x^3+x^2+3*x-1) ogf] A326347 10.7026 [-12*(18*x^3+21*x^2-8*x-3)/(x+1)^2/(3*x-1)^2 ogf] A326347 12.1296 [-12*(18*x^3+21*x^2-8*x-3)/(x+1)^2/(3*x-1)^2 ogf] A326347 4.66522 [-(5191*f(x)-264060)*(9*f(x)*x^4+12*f(x)*x^3-2*f(x)*x^2+216*x^3-4*f(x)*x+252*x^2+f(x)-96*x-36) ogf] A326347 5.08933 [{-a(n+4)+4*a(n+3)+2*a(n+2)-12*a(n+1)-9*a(n),a(0)=36,a(1)=240,a(2)=780,a(3)=2952} ogf] A326355 3.67862 [{a(n+6)-10*a(n+5)+40*a(n+4)-82*a(n+3)+91*a(n+2)-52*a(n+1)+12*a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=23,a(5)=93} ogf] A326355 7.66064 [-(22*x^5-52*x^4+56*x^3-32*x^2+9*x-1)/(3*x-1)/(-1+2*x)^2/(x-1)^3 ogf] A326355 8.34923 [-(22*x^5-52*x^4+56*x^3-32*x^2+9*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A326364 8.64556 [(f(x)-1)^2*(-2*x^3+f(x)-1) ogf] A326365 4.25269 [-(f(x)-1)^3 ogf] A326367 15.5338 [3*x^2*(x+2)*(x-4)/(x-1)^5 ogf] A326367 18.2953 [3*x^2*(x+2)*(x-4)/(x-1)^5 ogf] A326367 4.87153 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=24,a(3)=126,a(4)=387} ogf] A326368 10.7705 [-x^2*(2*x^5+10*x^4-87*x^3+154*x^2+308*x+18)/(x-1)^7 ogf] A326368 9.69341 [-x^2*(2*x^5+10*x^4-87*x^3+154*x^2+308*x+18)/(x-1)^7 ogf] A326369 8.34478 [3*x^3*(10*x^6-33*x^5-87*x^4+613*x^3-1137*x^2-1947*x-254)/(x-1)^9 ogf] A326369 9.12104 [3*x^3*(10*x^6-33*x^5-87*x^4+613*x^3-1137*x^2-1947*x-254)/(x-1)^9 ogf] A326414 4.02538 [-(12000699992006339936491*x^3-990000000000*x^2-990000000000*x-12000700000025339936491)/(x^2+x+1)/(x-1)^2 ogf] A326414 4.27121 [-(12000699992006339936491*x^3-990000000000*x^2-990000000000*x-12000700000025339936491)/(x^2+x+1)/(x-1)^2 ogf] A326422 10.0467 [(3*x^2+4*x+3)*(x^2-x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A326422 11.039 [(3*x^2+4*x+3)*(x^2-x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A326422 6.93147 [{-a(n+5)+a(n+4)+a(n+1)-a(n),a(0)=3,a(1)=4,a(2)=6,a(3)=7,a(4)=13} ogf] A326494 14.8844 [-(x^5-x^4-x^2-1)/(x-1)^2 ogf] A326494 17.3145 [-(x^5-x^4-x^2-1)/(x-1)^2 ogf] A326494 6.47643 [{a(n+6)-2*a(n+5)+a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=6,a(4)=9,a(5)=11} ogf] A326504 10.2933 [(2*x^6-2*x^5+2*x^3-x^2+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A326504 9.3681 [(2*x^6-2*x^5+2*x^3-x^2+1)/(x^2+1)/(x+1)^3/(x-1)^4 ogf] A326505 7.11837 [-(2*x^3-x^2+1)*(2*x^6-x^5-x^4+x^3+1)/(x^2+1)^2/(x+1)^4/(x-1)^5 ogf] A326505 7.64082 [-(2*x^3-x^2+1)*(2*x^6-x^5-x^4+x^3+1)/(x^2+1)^2/(x+1)^4/(x-1)^5 ogf] A326506 5.08122 [-(x^13-8*x^12+5*x^11+4*x^10-10*x^9+4*x^8+6*x^7-9*x^6+x^5+x^4-3*x^3+x^2-1)/(x^2+1)^3/(x+1)^5/(x-1)^6 ogf] A326506 5.34518 [-(x^13-8*x^12+5*x^11+4*x^10-10*x^9+4*x^8+6*x^7-9*x^6+x^5+x^4-3*x^3+x^2-1)/(x^2+1)^3/(x+1)^5/(x-1)^6 ogf] A326507 4.25476 [-(x^17-3*x^16+12*x^15-6*x^14-9*x^13+19*x^12-x^11-17*x^10+15*x^9-6*x^7+8*x^6+x^5-x^4+3*x^3-x^2+1)/(x^2+1)^4/(x+1)^6/(x-1)^7 ogf] A326507 4.43875 [-(x^17-3*x^16+12*x^15-6*x^14-9*x^13+19*x^12-x^11-17*x^10+15*x^9-6*x^7+8*x^6+x^5-x^4+3*x^3-x^2+1)/(x^2+1)^4/(x+1)^6/(x-1)^7 ogf] A326564 9.33293 [2*f(x)^3*x^2-10*f(x)^2*x^2+f(x)^2*x+16*f(x)*x^2-4*f(x)*x-8*x^2-f(x)+4*x+1 ogf] A326657 15.3099 [(2*x^3-5*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A326657 17.6208 [(2*x^3-5*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A326657 7.29611 [-(631*f(x)-2189)*(f(x)*x^4-2*f(x)*x^3-2*x^3+2*f(x)*x+5*x^2-f(x)-2*x+1) ogf] A326657 8.12089 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=5,a(3)=6} ogf] A326658 15.0455 [(4*x^3-7*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A326658 17.3165 [(4*x^3-7*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A326658 7.1701 [-(739*f(x)-7434)*(f(x)*x^4-2*f(x)*x^3-4*x^3+2*f(x)*x+7*x^2-f(x)-2*x+1) ogf] A326658 7.98063 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=7,a(3)=8} ogf] A326702 4.41573 [-x*(x^42-x^41+x^40-x^39+x^34-x^33+x^32-x^31+x^25-x^23+x^17-x^15+x^10+x^8-x^7+x^2+1)/(x-1) ogf] A326702 4.62353 [-x*(x^42-x^41+x^40-x^39+x^34-x^33+x^32-x^31+x^25-x^23+x^17-x^15+x^10+x^8-x^7+x^2+1)/(x-1) ogf] A326725 20.4083 [-x*(6*x-1)/(x-1)^3 ogf] A326725 25.3558 [-x*(6*x-1)/(x-1)^3 ogf] A326725 7.47091 [(725*f(x)-1302)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+6*x^2-f(x)-x) ogf] A326725 8.1237 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=-1,a(2)=3} ogf] A326749 5.85654 [-x*(x^28-x^26+x^22-x^20+2*x^16-2*x^15+2*x^10-2*x^9+7*x^8-7*x^7+x^3-x^2-1)/(x-1)^2 ogf] A326749 6.21148 [-x*(x^28-x^26+x^22-x^20+2*x^16-2*x^15+2*x^10-2*x^9+7*x^8-7*x^7+x^3-x^2-1)/(x-1)^2 ogf] A326754 6.01547 [-x*(x^31-x^29+x^25-x^23+2*x^18-2*x^17+2*x^12-2*x^11+3*x^7-3*x^6+x^2-x-1)/(x-1)^2 ogf] A326754 6.38853 [-x*(x^31-x^29+x^25-x^23+2*x^18-2*x^17+2*x^12-2*x^11+3*x^7-3*x^6+x^2-x-1)/(x-1)^2 ogf] A326781 3.77054 [4*x*(35*x^15+x^14+3*x^13+x^12+3*x^11+x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A326781 3.91282 [4*x*(35*x^15+x^14+3*x^13+x^12+3*x^11+x^10+3*x^9+x^8+3*x^7+x^6+3*x^5+x^4+3*x^3+x^2+3*x+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A326827 10.4987 [-2*(5*x^2+2*x+5)/(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A326835 15.1413 [-(2*x^32-2*x^31-x-1)/(x-1)^2 ogf] A326853 5.25033 [-x*(4*x^20-4*x^19+9*x^16-8*x^15+4*x^14-4*x^13+5*x^12-6*x^11+6*x^10-6*x^9+7*x^8-7*x^7+x^3-x^2-1)/(x-1)^2 ogf] A326853 5.53034 [-x*(4*x^20-4*x^19+9*x^16-8*x^15+4*x^14-4*x^13+5*x^12-6*x^11+6*x^10-6*x^9+7*x^8-7*x^7+x^3-x^2-1)/(x-1)^2 ogf] A326863 7.09762 [2*(x^10-151*x^8-150*x^6-225*x^4-75*x^2-75)/(2*x^10+149*x^8-75*x^4-75) lgdegf] A326872 7.45066 [-x*(20*x^32-20*x^31+4*x^28-4*x^27+4*x^24-4*x^23+4*x^20-4*x^19-1)/(x-1)^2 ogf] A326872 8.02935 [-x*(20*x^32-20*x^31+4*x^28-4*x^27+4*x^24-4*x^23+4*x^20-4*x^19-1)/(x-1)^2 ogf] A326879 5.93821 [-x*(21*x^16-20*x^15+4*x^14-4*x^13+5*x^12-6*x^11+6*x^10-6*x^9+7*x^8-7*x^7+x^3-x^2-1)/(x-1)^2 ogf] A326879 6.29273 [-x*(21*x^16-20*x^15+4*x^14-4*x^13+5*x^12-6*x^11+6*x^10-6*x^9+7*x^8-7*x^7+x^3-x^2-1)/(x-1)^2 ogf] A327021 3.69404 [{2*a(n+1)*n^3+2*a(n)*n^3+9*a(n+1)*n^2+a(n)*n^2-a(n+2)*n+12*a(n+1)*n-2*a(n+2)+6*a(n+1),a(0)=1,a(1)=1} ogf] A327032 14.2949 [x*(x-2)*(2*x^2-3*x+2)/(x-1)^5 ogf] A327032 16.6288 [x*(x-2)*(2*x^2-3*x+2)/(x-1)^5 ogf] A327032 4.85007 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=12,a(3)=27,a(4)=53} ogf] A327035 10.1095 [-(x^2+x+1)*(x^3-x^2+1)/(x^6+x^3-1) ogf] A327035 11.2174 [-(x^2+x+1)*(x^3-x^2+1)/(x^6+x^3-1) ogf] A327035 6.76751 [{-a(n+6)+a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=0,a(3)=1,a(4)=1,a(5)=1} ogf] A327041 4.13684 [-x*(x^42-x^41+x^40-x^39+x^34-x^33+x^32-x^31+2*x^25-2*x^23+2*x^17-2*x^15+x^10+x^9+x^8+x^7+x^2+x+1)/(x-1) ogf] A327041 4.31868 [-x*(x^42-x^41+x^40-x^39+x^34-x^33+x^32-x^31+2*x^25-2*x^23+2*x^17-2*x^15+x^10+x^9+x^8+x^7+x^2+x+1)/(x-1) ogf] A327042 9.67397 [-(3*x^3+4*x^2+3*x+1)/(x-1)/(x+1)/(x^2+x+1) ogf_with_Euler_transform] A327043 6.95105 [-(4*x^5+5*x^4+7*x^3+5*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf_with_Euler_transform] A327044 4.3163 [-(5*x^9+11*x^8+19*x^7+24*x^6+26*x^5+22*x^4+16*x^3+9*x^2+4*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1) ogf_with_Euler_transform] A327045 5.62918 [-(x^6+x^5+3*x^4+x^3+3*x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A327046 4.4702 [-(x^4+x^3+x^2+x+1)*(x^6+2*x^4-x^3+2*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A327048 5.26297 [-(3*x^7+2*x^6+6*x^5+6*x^4+5*x^3+6*x^2+3*x+2)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A327049 4.01605 [-(4*x^11+2*x^10+7*x^9+6*x^8+11*x^7+8*x^6+11*x^5+8*x^4+7*x^3+6*x^2+3*x+2)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A327101 5.95408 [-(4*x^17-4*x^16+9*x^13-8*x^12+4*x^11-4*x^10+5*x^9-6*x^8+6*x^7-6*x^6+8*x^5-8*x^4+3*x-4)/(x-1)^2 ogf] A327101 6.31769 [-(4*x^17-4*x^16+9*x^13-8*x^12+4*x^11-4*x^10+5*x^9-6*x^8+6*x^7-6*x^6+8*x^5-8*x^4+3*x-4)/(x-1)^2 ogf] A327136 6.07166 [(x+1)*(2*x^6+x^5+2*x^4+x^3+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327136 6.4482 [(x+1)*(2*x^6+x^5+2*x^4+x^3+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327137 10.6168 [(6*x^4+3*x^3+3*x^2+3*x+7)/(x+1)/(x^2+1)/(x-1)^2 ogf] A327137 6.19315 [{-a(n+5)+a(n+4)+a(n+1)-a(n),a(0)=7,a(1)=10,a(2)=13,a(3)=16,a(4)=29} ogf] A327137 9.6176 [(6*x^4+3*x^3+3*x^2+3*x+7)/(x+1)/(x^2+1)/(x-1)^2 ogf] A327138 4.12713 [(x^11+x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+3*x^3+3*x^2+3*x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327138 4.2991 [(x^11+x^10+2*x^9+x^8+2*x^7+x^6+2*x^5+x^4+3*x^3+3*x^2+3*x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327236 2.69005 [-(f(x)*x-f(x)+1)^3 ogf] A327253 3.81385 [-x^2*(x^9-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A327253 4.02427 [-x^2*(x^9-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1) ogf] A327310 3.3238 [-x*(3*x^35-3*x^34+x^33-3*x^29+3*x^27-3*x^23+3*x^21-3*x^17+3*x^15-3*x^11+3*x^9-3*x^5+3*x^3-2*x^2+2*x-4)/(x-1)/(x^35-x^33-x^2-2) ogf] A327310 3.46449 [-x*(3*x^35-3*x^34+x^33-3*x^29+3*x^27-3*x^23+3*x^21-3*x^17+3*x^15-3*x^11+3*x^9-3*x^5+3*x^3-2*x^2+2*x-4)/(x-1)/(x^35-x^33-x^2-2) ogf] A327319 15.1442 [-x^2*(7*x^2-2*x+1)/(x-1)^5 ogf] A327319 18.0992 [-x^2*(7*x^2-2*x+1)/(x-1)^5 ogf] A327319 4.49738 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=12} ogf] A327374 15.1729 [-(4*x^5-4*x^4+51*x-52)/(x-1)^2 ogf] A327374 17.7555 [-(4*x^5-4*x^4+51*x-52)/(x-1)^2 ogf] A327374 6.13608 [{-a(n+6)+2*a(n+5)-a(n+4),a(0)=52,a(1)=53,a(2)=54,a(3)=55,a(4)=60,a(5)=61} ogf] A327376 13.8973 [-(4*x^5-4*x^4+2867*x-2868)/(x-1)^2 ogf] A327376 16.0773 [-(4*x^5-4*x^4+2867*x-2868)/(x-1)^2 ogf] A327376 5.54015 [{-a(n+6)+2*a(n+5)-a(n+4),a(0)=2868,a(1)=2869,a(2)=2870,a(3)=2871,a(4)=2876,a(5)=2877} ogf] A327411 5.80147 [{2*a(n+1)*n^2+13*a(n+1)*n-a(n+2)+21*a(n+1),a(0)=1,a(1)=10} ogf] A327422 4.52905 [(2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327422 4.72704 [(2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+3*x^4+3*x^3+3*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327423 4.29962 [(x^11+3*x^10+3*x^9+3*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327423 4.47877 [(x^11+3*x^10+3*x^9+3*x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A327440 6.51868 [x^4*(x^6+x^3+1)/(1+x)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A327440 6.93588 [x^4*(x^6+x^3+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A327470 10.1613 [(x^10+x^5+x^4+x^3+x^2+3*x-12)/(x-1) ogf] A327470 11.3746 [(x^10+x^5+x^4+x^3+x^2+3*x-12)/(x-1) ogf] A327479 7.26115 [2*x^3*(x^7-2*x^6+3*x^5-2*x^4+x^3-2*x^2+x-2)/(x+1)/(x^2+1)/(x-1)^3 ogf] A327479 7.79408 [2*x^3*(x^7-2*x^6+3*x^5-2*x^4+x^3-2*x^2+x-2)/(x+1)/(x^2+1)/(x-1)^3 ogf] A327480 7.37842 [-2*x^2*(x^8-2*x^7+2*x^6-2*x^5+2*x^4+x^2+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A327480 7.94058 [-2*x^2*(x^8-2*x^7+2*x^6-2*x^5+2*x^4+x^2+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A327510 24.134 [-(f(x)-1)^3 ogf] A327541 5.69289 [(x^6-x^4+8*x^3-x^2+1)/(x^4-x^3-2*x^2-3*x+1)/(x^4-3*x^3-2*x^2-x+1) ogf] A327541 6.09592 [(x^6-x^4+8*x^3-x^2+1)/(x^4-x^3-2*x^2-3*x+1)/(x^4-3*x^3-2*x^2-x+1) ogf] A327542 5.33046 [-(x^6+5*x^4+4*x^3-5*x^2-1)/(x^4+3*x^3-2*x^2+x+1)/(x^4-x^3-2*x^2-3*x+1) ogf] A327542 5.69493 [-(x^6+5*x^4+4*x^3-5*x^2-1)/(x^4+3*x^3-2*x^2+x+1)/(x^4-x^3-2*x^2-3*x+1) ogf] A327582 13.3639 [-(7*x-5)/(49*x-1)/(x-1) ogf] A327582 15.9094 [-(7*x-5)/(49*x-1)/(x-1) ogf] A327582 6.8886 [-(11660*f(x)+749)*(49*f(x)*x^2-50*f(x)*x+f(x)+7*x-5) ogf] A327582 8.56659 [{a(n+2)-50*a(n+1)+49*a(n),a(0)=5,a(1)=243} ogf] A327606 3.48034 [{-4*a(n+2)*n+2*a(n+1)*n+2*a(n+3)*n-15*a(n+2)+4*a(n+1)-a(n+4)+12*a(n+3),a(0)=0,a(1)=1,a(2)=8,a(3)=69} ogf] A327610 6.33508 [x^2*(9*x^4-13*x^3+4*x^2+2*x-1)/(x-1)/(3*x-1)/(-1+2*x)/(3*x^2-1)/(2*x^2-1) ogf] A327610 6.79582 [x^2*(9*x^4-13*x^3+4*x^2+2*x-1)/(x-1)/(3*x-1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A327611 4.75114 [-x^3*(18*x^5-5*x^4-6*x^3+x^2+2*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(-1+2*x)/(3*x^2-1)/(2*x^2-1) ogf] A327611 5.01148 [-x^3*(18*x^5-5*x^4-6*x^3+x^2+2*x-1)/(x-1)/(4*x-1)/(3*x-1)/(2*x+1)/(2*x-1)/(3*x^2-1)/(2*x^2-1) ogf] A327692 5.16787 [{a(n+5)-6*a(n+3)+4*a(n+1),a(0)=10,a(1)=20,a(2)=46,a(3)=104,a(4)=240} ogf] A327692 5.3832 [-(38*f(x)-141)*(4*f(x)*x^4-4*x^4-6*f(x)*x^2+16*x^3+14*x^2+f(x)-20*x-10) ogf] A327692 8.72951 [2*(2*x^4-8*x^3-7*x^2+10*x+5)/(4*x^4-6*x^2+1) ogf] A327692 9.78764 [2*(2*x^4-8*x^3-7*x^2+10*x+5)/(4*x^4-6*x^2+1) ogf] A327717 8.29718 [-(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf_with_Euler_transform] A327728 10.292 [x*(x^6-2*x^3+x^2+4*x+2)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A327728 11.2607 [x*(x^6-2*x^3+x^2+4*x+2)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A327760 10.1784 [-(206448909341588981*x-224584605939537911)/(x-1)^2 ogf] A327760 3.7943 [(36271393195897860*f(x)+50767148716110383525205279094388821)*(f(x)*x^2-2*f(x)*x+f(x)+206448909341588981*x-224584605939537911) ogf] A327760 5.93738 [{-a(n+2)+2*a(n+1)-a(n),a(0)=224584605939537911,a(1)=242720302537486841} ogf] A327760 9.03151 [-(206448909341588981*x-224584605939537911)/(x-1)^2 ogf] A327765 10.3501 [{-a(n+2)+5*a(n+1)+2*a(n),a(0)=2,a(1)=5} ogf] A327765 18.6808 [(5*x-2)/(2*x^2+5*x-1) ogf] A327765 23.2094 [(5*x-2)/(2*x^2+5*x-1) ogf] A327765 8.4166 [-(33*f(x)-41)*(2*f(x)*x^2+5*f(x)*x-f(x)-5*x+2) ogf] A327767 11.6056 [{-a(n+2)+a(n),a(0)=1,a(1)=-2} ogf] A327767 14.4425 [(-1+2*x)/(x-1)/(x+1) ogf] A327767 17.5652 [(2*x-1)/(x-1)/(x+1) ogf] A327767 9.15372 [-(5*f(x)+2)*(f(x)*x^2-f(x)-2*x+1) ogf] A327770 12.7539 [-(3*x-1)/(49*x-1)/(x-1) ogf] A327770 15.1832 [-(3*x-1)/(49*x-1)/(x-1) ogf] A327770 6.71258 [-(2252*f(x)-43)*(49*f(x)*x^2-50*f(x)*x+f(x)+3*x-1) ogf] A327770 8.28176 [{a(n+2)-50*a(n+1)+49*a(n),a(0)=1,a(1)=47} ogf] A327794 2.0886 [-x^2*(9*x^3-12*x^2-7*x+6)/(3*x-1)/(x-1)^2 ogf] A327794 2.3581 [-x^2*(9*x^3-12*x^2-7*x+6)/(3*x-1)/(x-1)^2 ogf] A327821 2.97797 [-(x^3-3*x^2-x-1)/(x-1)/(x^3-x^2+3*x-1) ogf] A327821 3.30432 [-(x^3-3*x^2-x-1)/(x-1)/(x^3-x^2+3*x-1) ogf] A327825 10.1422 [(1089*x^22-1089*x^21+990*x^12-990*x^11+990*x^2-1869*x+979)/(x-1)^2 ogf] A327825 11.0857 [(1089*x^22-1089*x^21+990*x^12-990*x^11+990*x^2-1869*x+979)/(x-1)^2 ogf] A327834 15.4552 [HeunG(1/2,1/2,1,1,1,1,4*x)^2 ogf] A327842 6.50649 [-(x^9-6*x^7+x^6+9*x^5+3*x^4-6*x^3-9*x^2+3*x+5)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A327842 6.95137 [-(x^9-6*x^7+x^6+9*x^5+3*x^4-6*x^3-9*x^2+3*x+5)/(x^2+x+1)/(x+1)^3/(x-1)^7 ogf] A327846 10.1466 [(784*x^32-784*x^31-961*x^29+930*x^28+868*x-840)/(31*x^28-28)/(x-1)^2 ogf] A327846 11.0289 [(784*x^32-784*x^31-961*x^29+930*x^28+868*x-840)/(31*x^28-28)/(x-1)^2 ogf] A327904 2.99573 [{a(n+1)*n^3+10*a(n+1)*n^2-16*a(n+3)*n+8*a(n+2)*n+33*a(n+1)*n-48*a(n+3)+28*a(n+2)+36*a(n+1),a(0)=1,a(1)=1,a(2)=1} egf] A327926 13.781 [{a(n+1)-99*a(n),a(0)=1} ogf] A327926 14.7653 [-99*f(x)*x+f(x)-1 ogf] A327926 23.8517 [-1/(99*x-1) ogf] A327926 34.4524 [-1/(99*x-1) ogf] A327961 11.0326 [-x*(5*x-1)/(-1+8*x)/(-1+2*x)/(4*x-1)^2 ogf] A327961 12.5811 [-x*(5*x-1)/(8*x-1)/(2*x-1)/(-1+4*x)^2 ogf] A327961 4.98001 [-(13914*f(x)+10327)*(256*f(x)*x^4-288*f(x)*x^3+112*f(x)*x^2-18*f(x)*x+5*x^2+f(x)-x) ogf] A327961 5.01484 [{-a(n+4)+18*a(n+3)-112*a(n+2)+288*a(n+1)-256*a(n),a(0)=0,a(1)=1,a(2)=13,a(3)=122} ogf] A327993 5.18901 [{-a(n+5)+3*a(n+4)+a(n+3)-4*a(n+2)-2*a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=20,a(4)=55} ogf] A327993 5.99619 [(48*f(x)+25)*(2*f(x)*x^4+4*f(x)*x^3-2*x^4-f(x)*x^2-3*f(x)*x+3*x^2+f(x)-1) ogf] A327993 9.09534 [(x-1)*(x+1)*(2*x^2-1)/(2*x^2+2*x-1)/(x^2+x-1) ogf] A327993 9.99364 [(x-1)*(x+1)*(2*x^2-1)/(2*x^2+2*x-1)/(x^2+x-1) ogf] A327999 16.0975 [-(16*x^2-7*x+1)/(4*x-1)^3 ogf] A327999 19.4865 [-(16*x^2-7*x+1)/(-1+4*x)^3 ogf] A327999 6.3835 [(4*f(x)-15)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x+16*x^2-f(x)-7*x+1) ogf] A327999 6.85636 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=5,a(2)=28} ogf] A328000 13.8629 [-(4*x^2-x-1)^2/(-1+2*x)^3/(2*x+1)^3 ogf] A328000 16.1263 [-(4*x^2-x-1)^2/(2*x-1)^3/(2*x+1)^3 ogf] A328000 5.41225 [{-a(n+6)+12*a(n+4)-48*a(n+2)+64*a(n),a(0)=1,a(1)=2,a(2)=5,a(3)=16,a(4)=28,a(5)=96} ogf] A328002 11.949 [-I/(-1+2*x)^(5/2)*(4*x^2-x-1)/(2*x+1)^(3/2) ogf] A328005 10.4883 [-x*(x^7-x^6-x^5+2*x^3+1)/(x+1)/(x-1)^3 ogf] A328005 11.6377 [-x*(x^7-x^6-x^5+2*x^3+1)/(x+1)/(x-1)^3 ogf] A328010 4.23545 [-(34*x^9+68*x^8+136*x^7+27*x^6+54*x^5+108*x^4+216*x^3+43*x^2+86*x+17)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A328010 4.41378 [-(34*x^9+68*x^8+136*x^7+27*x^6+54*x^5+108*x^4+216*x^3+43*x^2+86*x+17)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A328011 6.32223 [-(2*x^6+4*x^5+8*x^4+16*x^3+3*x^2+6*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A328011 6.73681 [-(2*x^6+4*x^5+8*x^4+16*x^3+3*x^2+6*x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A328055 7.75562 [-I*(2*I*ln(x-1)-I*ln(x^2-3*x+1)+2*Pi) egf] A328078 4.08773 [-(4*x^12-4*x^10+8*x^9-4*x^8-x^7+8*x^6-5*x^5-2*x^4+x^3-3*x^2+1)/(x-1)/(x^2+1)/(2*x^2-1)/(4*x^7-4*x^6+4*x^4-2*x^3+2*x^2+x-1) ogf] A328078 4.25895 [-(4*x^12-4*x^10+8*x^9-4*x^8-x^7+8*x^6-5*x^5-2*x^4+x^3-3*x^2+1)/(x-1)/(x^2+1)/(2*x^2-1)/(4*x^7-4*x^6+4*x^4-2*x^3+2*x^2+x-1) ogf] A328079 3.70668 [(4*x^11-8*x^10+4*x^9+4*x^8-8*x^7+7*x^6-4*x^5-5*x^4+2*x^3-2*x^2+1)/(x^2+1)/(2*x^2-1)/(4*x^7-4*x^6+4*x^4-2*x^3+2*x^2+x-1) ogf] A328079 3.87613 [(4*x^11-8*x^10+4*x^9+4*x^8-8*x^7+7*x^6-4*x^5-5*x^4+2*x^3-2*x^2+1)/(x^2+1)/(2*x^2-1)/(4*x^7-4*x^6+4*x^4-2*x^3+2*x^2+x-1) ogf] A328080 2.6922 [-(16*x^10+8*x^8-4*x^7-12*x^6-20*x^5+6*x^4+18*x^3-3*x^2-4*x+1)/(x-1)/(-1+2*x)/(x+1)/(16*x^7-16*x^6+16*x^5+8*x^4-20*x^3+5*x-1) ogf] A328080 2.8132 [-(16*x^10+8*x^8-4*x^7-12*x^6-20*x^5+6*x^4+18*x^3-3*x^2-4*x+1)/(x-1)/(2*x-1)/(x+1)/(16*x^7-16*x^6+16*x^5+8*x^4-20*x^3+5*x-1) ogf] A328088 8.46228 [(288*x^6-1128*x^5+1772*x^4-1406*x^3+551*x^2-80*x-1)/(3*x-1)^2/(x-1)^2/(-1+2*x)^3 ogf] A328088 9.11955 [(288*x^6-1128*x^5+1772*x^4-1406*x^3+551*x^2-80*x-1)/(3*x-1)^2/(x-1)^2/(2*x-1)^3 ogf] A328121 5.86623 [-8*f(x)^3*x^3+37*f(x)^3*x^2-48*f(x)^3*x+8*f(x)^3-4*f(x)*x^2+12*f(x)*x-6*f(x)-2 egf] A328141 3.87975 [{a(n+1)*n^2+a(n)*n^2+a(n+3)*n+3*a(n+1)*n+a(n)*n+3*a(n+3)-2*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=2} ogf] A328141 4.83226 [1/2*2^(1/2)*(exp(-1/2)*2^(1/2)+2*Pi^(1/2)*erf(1/2*2^(1/2)*(x-1))+2*erf(1/2*2^(1/2))*Pi^(1/2))/exp(-1/2) egf] A328148 4.78455 [-1/(x-1)^11*(51*x^9+5263*x^8+41530*x^7+127402*x^6+785704*x^5+1621504*x^4+911542*x^3+132550*x^2+3253*x+1) ogf] A328152 16.5216 [x^2*(x+1)*(x-2)/(x-1)^5 ogf] A328152 19.7453 [x^2*(x+1)*(x-2)/(x-1)^5 ogf] A328152 4.87686 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=11,a(4)=34} ogf] A328180 11.9078 [x^5*(x^5-3*x^4-3*x^3+13*x^2-6*x-6)/(x-1)^3 ogf] A328180 13.4443 [x^5*(x^5-3*x^4-3*x^3+13*x^2-6*x-6)/(x-1)^3 ogf] A328184 5.1449 [-4*(x^11+x^10-x^8-x^7-x^6-4*x^5-7*x^4-3*x^3-5*x^2-2*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A328184 5.41044 [-4*(x^11+x^10-x^8-x^7-x^6-4*x^5-7*x^4-3*x^3-5*x^2-2*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A328185 4.84733 [-(x^11-x^10-x^9-5*x^8-3*x^7-3*x^6-7*x^5-11*x^4-5*x^3-7*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A328185 5.08379 [-(x^11-x^10-x^9-5*x^8-3*x^7-3*x^6-7*x^5-11*x^4-5*x^3-7*x^2-3*x-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A328241 6.90053 [-x*(5*x^35-4*x^34+4*x^33-x^32-4*x^31+2*x^20-2*x^19+7*x^18-3*x^17-3*x^16-x^15+x^4+x^3+2*x^2+3*x-8)/(x-1)^2 ogf] A328241 7.2544 [-x*(5*x^35-4*x^34+4*x^33-x^32-4*x^31+2*x^20-2*x^19+7*x^18-3*x^17-3*x^16-x^15+x^4+x^3+2*x^2+3*x-8)/(x-1)^2 ogf] A328263 10.5285 [-(5*x^3+4*x^2+5*x+1)/(x-1)/(x^2+x+1) ogf] A328263 11.8243 [-(5*x^3+4*x^2+5*x+1)/(x-1)/(x^2+x+1) ogf] A328263 8.44592 [-(447*f(x)+197)*(f(x)*x^3+5*x^3+4*x^2-f(x)+5*x+1) ogf] A328263 8.73385 [{a(n+4)-a(n+1),a(0)=1,a(1)=5,a(2)=4,a(3)=6} ogf] A328265 3.8778 [-(2*f(x)*x-f(x)+1)^3 ogf] A328284 11.3167 [x^2*(x^2+x-1)/(x+1)/(2*x-1) ogf] A328284 4.82189 [{-a(n+5)+a(n+4)+2*a(n+3),a(0)=0,a(1)=0,a(2)=1,a(3)=0,a(4)=1} ogf] A328284 7.01921 [x^4-2*f(x)*x^2+x^3-f(x)*x-x^2+f(x) ogf] A328284 9.72838 [x^2*(x^2+x-1)/(x+1)/(-1+2*x) ogf] A328286 10.68 [f(x)*x^2+2*f(x)*x-2*f(x)+2*x+2 egf] A328286 14.952 [-2*(x+1)/(x^2+2*x-2) egf] A328286 18.1849 [-2*(x+1)/(x^2+2*x-2) egf] A328301 7.35641 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^3 ogf] A328301 7.87265 [-1/(x+1)/(x^2+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^3 ogf] A328332 12.9163 [(10*x^3-5*x^2+4*x+1)/(x-1)/(10*x^2-1) ogf] A328332 14.6677 [(10*x^3-5*x^2+4*x+1)/(x-1)/(10*x^2-1) ogf] A328332 6.7609 [{-a(n+4)+a(n+3)+10*a(n+2)-10*a(n+1),a(0)=1,a(1)=5,a(2)=10,a(3)=60} ogf] A328332 6.97899 [(13+43*f(x))*(10*f(x)*x^3-10*f(x)*x^2-10*x^3-f(x)*x+5*x^2+f(x)-4*x-1) ogf] A328333 13.1976 [-(6*x^2-4*x-1)/(x-1)/(10*x^2-1) ogf] A328333 15.1528 [-(6*x^2-4*x-1)/(x-1)/(10*x^2-1) ogf] A328333 6.65246 [-(7195*f(x)+4367)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+6*x^2+f(x)-4*x-1) ogf] A328333 7.71937 [{-a(n+3)+a(n+2)+10*a(n+1)-10*a(n),a(0)=1,a(1)=5,a(2)=9} ogf] A328348 14.202 [-x/(x-1)/(20*x-1)/(-1+2*x) ogf] A328348 16.6719 [-x/(x-1)/(20*x-1)/(2*x-1) ogf] A328348 7.16736 [{-a(n+3)+23*a(n+2)-62*a(n+1)+40*a(n),a(0)=0,a(1)=1,a(2)=23} ogf] A328348 7.4457 [(23*f(x)+1)*(40*f(x)*x^3-62*f(x)*x^2+23*f(x)*x-f(x)+x) ogf] A328350 15.8663 [-x/(x-1)/(3*x-1)/(30*x-1) ogf] A328350 18.6256 [-x/(x-1)/(3*x-1)/(30*x-1) ogf] A328350 7.93314 [{-a(n+3)+34*a(n+2)-123*a(n+1)+90*a(n),a(0)=0,a(1)=1,a(2)=34} ogf] A328350 8.23826 [(34*f(x)+1)*(90*f(x)*x^3-123*f(x)*x^2+34*f(x)*x-f(x)+x) ogf] A328351 13.3278 [-x/(x-1)/(4*x-1)/(40*x-1) ogf] A328351 15.6457 [-x/(x-1)/(4*x-1)/(40*x-1) ogf] A328351 6.60278 [{a(n+3)-45*a(n+2)+204*a(n+1)-160*a(n),a(0)=0,a(1)=1,a(2)=45} ogf] A328351 6.85431 [(45*f(x)+1)*(160*f(x)*x^3-204*f(x)*x^2+45*f(x)*x-f(x)+x) ogf] A328352 14.0237 [-x/(x-1)/(50*x-1)/(5*x-1) ogf] A328352 16.4626 [-x/(x-1)/(50*x-1)/(5*x-1) ogf] A328352 6.9475 [{-a(n+3)+56*a(n+2)-305*a(n+1)+250*a(n),a(0)=0,a(1)=1,a(2)=56} ogf] A328352 7.21217 [(56*f(x)+1)*(250*f(x)*x^3-305*f(x)*x^2+56*f(x)*x-f(x)+x) ogf] A328353 14.5589 [-x/(x-1)/(6*x-1)/(60*x-1) ogf] A328353 17.0909 [-x/(x-1)/(6*x-1)/(60*x-1) ogf] A328353 7.21267 [{-a(n+3)+67*a(n+2)-426*a(n+1)+360*a(n),a(0)=0,a(1)=1,a(2)=67} ogf] A328353 7.48744 [(67*f(x)+1)*(360*f(x)*x^3-426*f(x)*x^2+67*f(x)*x-f(x)+x) ogf] A328354 15.0406 [-x/(x-1)/(70*x-1)/(7*x-1) ogf] A328354 17.6564 [-x/(x-1)/(70*x-1)/(7*x-1) ogf] A328354 7.45133 [{a(n+3)-78*a(n+2)+567*a(n+1)-490*a(n),a(0)=0,a(1)=1,a(2)=78} ogf] A328354 7.73519 [(78*f(x)+1)*(490*f(x)*x^3-567*f(x)*x^2+78*f(x)*x-f(x)+x) ogf] A328355 13.4315 [-x/(x-1)/(80*x-1)/(-1+8*x) ogf] A328355 15.7674 [-x/(x-1)/(80*x-1)/(8*x-1) ogf] A328355 6.65415 [{-a(n+3)+89*a(n+2)-728*a(n+1)+640*a(n),a(0)=0,a(1)=1,a(2)=89} ogf] A328355 6.90764 [(89*f(x)+1)*(640*f(x)*x^3-728*f(x)*x^2+89*f(x)*x-f(x)+x) ogf] A328356 11.2261 [-45*x/(x-1)/(9*x-1)/(90*x-1) ogf] A328356 13.1369 [-45*x/(x-1)/(9*x-1)/(90*x-1) ogf] A328356 5.46403 [{-a(n+3)+100*a(n+2)-909*a(n+1)+810*a(n),a(0)=0,a(1)=45,a(2)=4500} ogf] A328356 5.77042 [(20*f(x)+9)*(810*f(x)*x^3-909*f(x)*x^2+100*f(x)*x-f(x)+45*x) ogf] A328426 6.59005 [1/(16*x+1)^(1/2)*hypergeom([1/4,3/4],[1],64*x*(1+3*x)/(16*x+1)^2) ogf] A328494 10.0988 [-(x-1+2*(-11*x^2-2*x+1)^(1/2))/(1+3*x)/(5*x-1) ogf] A328494 8.56201 [15*f(x)^2*x^2+2*f(x)^2*x-f(x)^2+2*f(x)*x-2*f(x)+3 ogf] A328539 6.24895 [-(2*x^5+3*x^4+2*x^3+2*x^2+2*x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A328540 3.95893 [-(2*x^9+3*x^8+2*x^7+3*x^6+2*x^5+2*x^4+2*x^3+3*x^2+2*x+3)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A328542 5.85462 [-(3*x^7+4*x^6+3*x^5+4*x^4+2*x^3+4*x^2+3*x+4)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A328543 3.78728 [-(4*x^9+5*x^8+4*x^7+5*x^6+4*x^5+4*x^4+4*x^3+5*x^2+4*x+5)/(x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf_with_Euler_transform] A328545 4.12799 [-(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A328546 3.98357 [-(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf_with_Euler_transform] A328547 13.8119 [-2*(x+1)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A328548 6.93807 [-2*(x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A328551 6.18884 [-3*x^3*(160*x^7-2226*x^6+9879*x^5-17534*x^4+1626*x^3+42906*x^2+10327*x+222)/(x-1)^9 ogf] A328551 6.65592 [-3*x^3*(160*x^7-2226*x^6+9879*x^5-17534*x^4+1626*x^3+42906*x^2+10327*x+222)/(x-1)^9 ogf] A328585 4.86892 [(x+1)*(x^2+x+1)*(x^14+x^11+x^7+x^4+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A328585 5.04127 [(x+1)*(x^2+x+1)*(x^14+x^11+x^7+x^4+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A328586 7.15714 [6*(x^16+2*x^15+2*x^14+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A328586 7.53885 [6*(x^16+2*x^15+2*x^14+2*x^2+2*x+1)/(x+1)/(x^2+1)/(x^12-x^10+x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A328588 10.9242 [-2*(3*x^77+2*x^76+2*x^75-3*x^3-6*x^2-6*x-3)/(x^77+2*x^76-2*x^75+3*x^4-6*x^2+3) ogf] A328588 11.7116 [-2*(3*x^77+2*x^76+2*x^75-3*x^3-6*x^2-6*x-3)/(x^77+2*x^76-2*x^75+3*x^4-6*x^2+3) ogf] A328604 11.0071 [{a(n+2)-2*a(n+1)-9*a(n),a(0)=1,a(1)=9} ogf] A328604 18.1005 [-(1+7*x)/(9*x^2+2*x-1) ogf] A328604 22.0142 [-(1+7*x)/(9*x^2+2*x-1) ogf] A328604 9.15196 [-(2*f(x)+7)*(9*f(x)*x^2+2*f(x)*x-f(x)+7*x+1) ogf] A328605 12.0826 [-(15*x^3+2*x^2-5*x-1)/(25*x^4-12*x^2+1) ogf] A328605 13.6937 [-(15*x^3+2*x^2-5*x-1)/(25*x^4-12*x^2+1) ogf] A328605 7.33589 [-(242*f(x)+425)*(25*f(x)*x^4-12*f(x)*x^2+15*x^3+2*x^2+f(x)-5*x-1) ogf] A328605 8.0551 [{-a(n+4)+12*a(n+2)-25*a(n),a(0)=1,a(1)=5,a(2)=10,a(3)=45} ogf] A328606 11.189 [{a(n+2)-2*a(n+1)-11*a(n),a(0)=1,a(1)=11} ogf] A328606 18.4862 [-(9*x+1)/(11*x^2+2*x-1) ogf] A328606 22.378 [-(9*x+1)/(11*x^2+2*x-1) ogf] A328606 9.14369 [-(20*f(x)+101)*(11*f(x)*x^2+2*f(x)*x-f(x)+9*x+1) ogf] A328652 6.79967 [x*(2*x^6-2*x^5+x^4-x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A328652 7.2646 [x*(2*x^6-2*x^5+x^4-x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A328683 12.0776 [-81*(10*x^2-1)/(10*x-1)^2/(x-1)^2 ogf] A328683 14.0906 [-81*(10*x^2-1)/(10*x-1)^2/(x-1)^2 ogf] A328683 4.39186 [{-a(n+4)+22*a(n+3)-141*a(n+2)+220*a(n+1)-100*a(n),a(0)=81,a(1)=1782,a(2)=26973,a(3)=359964} ogf] A328683 4.50898 [(30681828*f(x)-213623605)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-22*f(x)*x+810*x^2+f(x)-81) ogf] A328752 10.1224 [-(2*x^12-2*x^11-10*x^4+10*x^3+8*x^2-8*x-1)/(x-1)^2 ogf] A328752 11.2317 [-(2*x^12-2*x^11-10*x^4+10*x^3+8*x^2-8*x-1)/(x-1)^2 ogf] A328778 14.8513 [(9*x^2+4*x-1)/(7*x-1) ogf] A328778 18.4517 [(9*x^2+4*x-1)/(7*x-1) ogf] A328778 7.90785 [{-a(n+3)+7*a(n+2),a(0)=1,a(1)=3,a(2)=12} ogf] A328778 8.11873 [(f(x)-1)*(7*f(x)*x-9*x^2-f(x)-4*x+1) ogf] A328789 4.70455 [-2*x*(x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf_with_Euler_transform] A328790 4.61658 [-2*(x^10-x^9+x^8+x^6+x^4+x^2-x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf_with_Euler_transform] A328791 11.144 [-(28*x^2-77*x+3)/(x-1)/(x^2-34*x+1) ogf] A328791 5.22374 [(12946644*f(x)-8573465)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+28*x^2-f(x)-77*x+3) ogf] A328791 6.1343 [{-a(n+3)+35*a(n+2)-35*a(n+1)+a(n),a(0)=3,a(1)=28,a(2)=903} ogf] A328791 9.83292 [-(28*x^2-77*x+3)/(x-1)/(x^2-34*x+1) ogf] A328795 5.10551 [-2*(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A328796 4.58538 [-(x^10-x^9+x^8+x^6+x^4+x^2-x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf_with_Euler_transform] A328797 4.30227 [2*(x^10+x^6+x^5+x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf_with_Euler_transform] A328798 9.09211 [-(x^2+1)^2/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A328800 3.51826 [(x^10+x^6+x^5+x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)/(x^4-x^2+1) ogf_with_Euler_transform] A328802 4.1669 [-(x^6-x^5+x^4-x^3+x^2-x+1)/(x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A328824 11.1443 [-x/(x-1)/(2*x+1)/(4*x^2-2*x+1) ogf] A328824 5.13605 [{-a(n+4)+a(n+3)-8*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A328824 5.96612 [(7*f(x)-3)*(8*f(x)*x^4-8*f(x)*x^3+f(x)*x-f(x)+x) ogf] A328824 9.68272 [-x/(x-1)/(2*x+1)/(4*x^2-2*x+1) ogf] A328834 11.208 [-(1+3*x)*(7*x^6+1)*(25*x^4+5*x^2+1)*(49*x^12+1)/(11*x^24-1) ogf] A328834 12.1619 [-(3*x+1)*(7*x^6+1)*(25*x^4+5*x^2+1)*(49*x^12+1)/(11*x^24-1) ogf] A328865 11.7745 [-(x^2+x+1)*(x^6+x^3+1)/(x-1) ogf] A328865 13.3187 [-(x^2+x+1)*(x^6+x^3+1)/(x-1) ogf] A328865 4.56429 [{a(n+3)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=5,a(5)=6,a(6)=7,a(7)=8,a(8)=9,a(9)=9} ogf] A328881 10.5051 [(x^3-x^2+2*x-1)/(2*x-1)/(x+1)/(x^2-x+1) ogf] A328881 6.13498 [-(31*f(x)-37)*(2*f(x)*x^4-f(x)*x^3-x^3+2*f(x)*x+x^2-f(x)-2*x+1) ogf] A328881 6.72696 [{-a(n+4)+2*a(n+3)-a(n+1)+2*a(n),a(0)=1,a(1)=0,a(2)=1,a(3)=0} ogf] A328881 9.46757 [(x^3-x^2+2*x-1)/(-1+2*x)/(x+1)/(x^2-x+1) ogf] A328882 6.2392 [(514*x^11-768*x^10+128*x^9+64*x^8+32*x^7+16*x^6+8*x^5+4*x^4+2*x^3+x^2-x+1)/(2*x^10-1)/(x-1)^2 ogf] A328882 6.61449 [(514*x^11-768*x^10+128*x^9+64*x^8+32*x^7+16*x^6+8*x^5+4*x^4+2*x^3+x^2-x+1)/(2*x^10-1)/(x-1)^2 ogf] A328886 4.18298 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1444,a(1)=213444,a(2)=289444,a(3)=925444,a(4)=1077444} ogf] A328886 8.83596 [-4*(361*x^4+53000*x^3+18278*x^2+53000*x+361)/(x+1)^2/(x-1)^3 ogf] A328886 9.70865 [-4*(361*x^4+53000*x^3+18278*x^2+53000*x+361)/(x+1)^2/(x-1)^3 ogf] A328890 15.6285 [(4*x^2-x-1)/(x-1)/(-1+2*x)^2 ogf] A328890 18.4069 [(4*x^2-x-1)/(x-1)/(2*x-1)^2 ogf] A328890 7.01958 [-(f(x)-1663)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-4*x^2-f(x)+x+1) ogf] A328890 7.88868 [{-a(n+3)+5*a(n+2)-8*a(n+1)+4*a(n),a(0)=1,a(1)=6,a(2)=18} ogf] A328916 11.6831 [x^3*(x-1)/(10*x-1)/(x^3-10*x+1) ogf] A328916 13.5157 [x^3*(x-1)/(10*x-1)/(x^3-10*x+1) ogf] A328916 4.41861 [{-a(n+5)+20*a(n+4)-100*a(n+3)-a(n+2)+10*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=19} ogf] A328916 5.34343 [-f(x)*(10*f(x)*x^4-f(x)*x^3-x^4-100*f(x)*x^2+x^3+20*f(x)*x-f(x)) ogf] A328943 14.7145 [(194*f(x)+281)*(f(x)*x^4+5*x^3+4*x^2-f(x)+3*x+2) ogf] A328943 15.8045 [-(5*x^3+4*x^2+3*x+2)/(x-1)/(x+1)/(x^2+1) ogf] A328943 16.002 [{a(n+4)-a(n),a(0)=2,a(1)=3,a(2)=4,a(3)=5} ogf] A328943 17.5365 [-(5*x^3+4*x^2+3*x+2)/(x-1)/(x+1)/(x^2+1) ogf] A328984 10.4518 [(3*x^4+2*x^3+6*x^2+3*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A328984 5.70774 [{a(n+6)-a(n+4)-a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=7,a(3)=5,a(4)=11,a(5)=8} ogf] A328984 9.46813 [(3*x^4+2*x^3+6*x^2+3*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A328985 5.36105 [{a(n+5)+a(n+4)-a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=-2,a(3)=6,a(4)=-3} ogf] A328985 7.71028 [-(x^4+4*x^3+2*x^2+6*x+2)/(x-1)/(x^2+1)/(x+1)^2 ogf] A328985 8.47179 [-(x^4+4*x^3+2*x^2+6*x+2)/(x-1)/(x^2+1)/(x+1)^2 ogf] A328990 14.7599 [(x+2)/(x-1)/(x^2+2*x-1) ogf] A328990 17.3839 [(x+2)/(x-1)/(x^2+2*x-1) ogf] A328990 7.11159 [-(649*f(x)-23)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+f(x)-x-2) ogf] A328990 7.45024 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=2,a(1)=7,a(2)=19} ogf] A328994 15.3147 [(5*x^3+15*x^2+9*x+1)/(x-1)^6 ogf] A328994 18.2318 [(5*x^3+15*x^2+9*x+1)/(x-1)^6 ogf] A328994 3.71716 [{a(n+6)-6*a(n+5)+15*a(n+4)-20*a(n+3)+15*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=15,a(2)=90,a(3)=340,a(4)=975,a(5)=2331} ogf] A329015 6.56338 [(262680120*x^8-38516101*x^7+4378002*x^6-1)/(12*x-1)/(5*x-1)/(35909933*x^7-1) ogf] A329015 7.07815 [(262680120*x^8-38516101*x^7+4378002*x^6-1)/(12*x-1)/(5*x-1)/(35909933*x^7-1) ogf] A329018 3.7434 [(1296*x^8+1512*x^7+1548*x^6+1554*x^5+311*x^4+259*x^3+43*x^2+7*x+1)/(x-1)/(6*x-1)/(x^4+x^3+x^2+x+1)/(1296*x^4+216*x^3+36*x^2+6*x+1) ogf] A329018 3.90269 [(1296*x^8+1512*x^7+1548*x^6+1554*x^5+311*x^4+259*x^3+43*x^2+7*x+1)/(x-1)/(6*x-1)/(x^4+x^3+x^2+x+1)/(1296*x^4+216*x^3+36*x^2+6*x+1) ogf] A329023 7.95217 [(45*x^8+42*x^7-18*x^6-30*x^5-77*x^4-26*x^3-9*x^2-3*x-1)/(x^4+x^3-1) ogf] A329023 8.59477 [(45*x^8+42*x^7-18*x^6-30*x^5-77*x^4-26*x^3-9*x^2-3*x-1)/(x^4+x^3-1) ogf] A329114 10.8853 [6*f(x)*x^4-7*f(x)*x^2-3*x^3-x^2+f(x) ogf] A329114 11.8901 [x^2*(1+3*x)/(x-1)/(x+1)/(6*x^2-1) ogf] A329114 13.5589 [x^2*(3*x+1)/(x-1)/(x+1)/(6*x^2-1) ogf] A329114 8.05062 [{a(n+4)-7*a(n+2)+6*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A329115 11.7302 [x^2*(2*x+1)/(x-1)/(x+1)/(6*x^2-1) ogf] A329115 13.3765 [x^2*(2*x+1)/(x-1)/(x+1)/(6*x^2-1) ogf] A329115 7.94231 [{-a(n+4)+7*a(n+2)-6*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=2} ogf] A329115 8.97014 [f(x)*(6*f(x)*x^4-7*f(x)*x^2-2*x^3-x^2+f(x)) ogf] A329178 7.57658 [(x^4-x^3+x^2-x-1)/(x-1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A329178 8.20146 [(x^4-x^3+x^2-x-1)/(x-1)/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A329185 10.729 [(x-1)*(x^2+1)/(2*x^5-x^4+3*x^3-x^2+2*x-1) ogf] A329185 4.74677 [{a(n+5)-2*a(n+4)+a(n+3)-3*a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=10} ogf] A329185 9.66935 [(x-1)*(x^2+1)/(2*x^5-x^4+3*x^3-x^2+2*x-1) ogf] A329195 6.8754 [-x^2*(x^46+x^44-x^35-2*x^22-x^15-x^13-x^9-x^2-1)/(x-1)/(x^44-x^13-1) ogf] A329195 7.31543 [-x^2*(x^46+x^44-x^35-2*x^22-x^15-x^13-x^9-x^2-1)/(x-1)/(x^44-x^13-1) ogf] A329199 14.5877 [-x*(x^45+x^14+x^4+1)/(x-1) ogf] A329199 16.7095 [-x*(x^45+x^14+x^4+1)/(x-1) ogf] A329227 12.8453 [x^5/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A329227 14.7842 [x^5/(x^3-x-1)/(x^3-x^2+2*x-1) ogf] A329227 4.14584 [{a(n+6)-a(n+5)-a(n+4)-a(n+3)+a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A329244 12.4798 [-(2*x-1)/(x-1)/(x^3-2*x^2+3*x-1) ogf] A329244 14.2314 [-(2*x-1)/(x-1)/(x^3-2*x^2+3*x-1) ogf] A329244 6.05365 [{a(n+4)-4*a(n+3)+5*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=5} ogf] A329244 6.6491 [(3*f(x)+10)*(f(x)*x^4-3*f(x)*x^3+5*f(x)*x^2-4*f(x)*x+f(x)+2*x-1) ogf] A329267 3.8211 [-x^10*(x^2+1)*(2*x^8+3*x^7+2*x^6+2*x^5+3*x^4+2*x^3+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A329267 3.99187 [-x^10*(x^2+1)*(2*x^8+3*x^7+2*x^6+2*x^5+3*x^4+2*x^3+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A329279 15.1183 [-(3*x^5-8*x^3+8*x+1)/(x+1)^2/(x-1)^3 ogf] A329279 17.2401 [-(3*x^5-8*x^3+8*x+1)/(x+1)^2/(x-1)^3 ogf] A329279 5.22706 [{a(n+6)-a(n+5)-2*a(n+4)+2*a(n+3)+a(n+2)-a(n+1),a(0)=1,a(1)=9,a(2)=11,a(3)=19,a(4)=22,a(5)=33} ogf] A329289 11.7385 [-(x^5-x^3-x^2+2)/(x-1)/(x+1) ogf_with_Euler_transform] A329290 3.51888 [(3*x^14+x^13+4*x^12+2*x^11-x^10-3*x^9-2*x^7+5*x^6+3*x^5+6*x^4+4*x^3+x^2-x+2)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf_with_Euler_transform] A329301 16.0599 [-(x^2+1)/(2*x^3-x^2+x-1) ogf] A329301 18.6819 [-(x^2+1)/(2*x^3-x^2+x-1) ogf] A329301 8.24697 [-(f(x)-1)*(2*f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)+1) ogf] A329301 8.80205 [{a(n+3)-a(n+2)+a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=1} ogf] A329305 3.43954 [{-a(n+2)*n^3-9*a(n+2)*n^2-27*a(n+2)*n+a(n+3)-27*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=9} ogf] A329384 12.4793 [-(x^7-x^4-x^3+2)/(x-1)/(x+1) ogf_with_Euler_transform] A329404 4.68525 [{a(n+6)-3*a(n+4)+3*a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=21,a(4)=20,a(5)=65} ogf] A329404 8.52955 [-x*(5*x^4+8*x^3+18*x^2+4*x+1)/(x-1)^3/(x+1)^3 ogf] A329404 9.50436 [-x*(5*x^4+8*x^3+18*x^2+4*x+1)/(x-1)^3/(x+1)^3 ogf] A329421 3.71959 [x*(x+1)*(x^12+2*x^11+8*x^10-x^9+9*x^7-24*x^6+18*x^5-8*x^4+17*x^3+8*x^2-x+3)/(x^4+x^2-1)/(x^4-x^2-1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A329421 3.86061 [x*(x+1)*(x^12+2*x^11+8*x^10-x^9+9*x^7-24*x^6+18*x^5-8*x^4+17*x^3+8*x^2-x+3)/(x^4+x^2-1)/(x^4-x^2-1)/(x^4-4*x^2-1)/(x^4+4*x^2-1) ogf] A329451 7.29442 [x^3*(x^7-2*x^6+2*x^5-2*x^4+2*x^3-3*x^2+x-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A329451 7.85019 [x^3*(x^7-2*x^6+2*x^5-2*x^4+2*x^3-3*x^2+x-1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A329479 7.97262 [-x^4*(4*x^3+1)/(2*x-1)/(x+1)/(x^2-x+1)/(4*x^4-2*x^2+1) ogf] A329479 8.65844 [-x^4*(4*x^3+1)/(2*x-1)/(x+1)/(x^2-x+1)/(4*x^4-2*x^2+1) ogf] A329482 11.2835 [-(x^4+4*x^3+1)/(x+1)^2/(x-1)^3 ogf] A329482 3.62441 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=7,a(4)=11} ogf] A329482 9.80372 [-(x^4+4*x^3+1)/(x+1)^2/(x-1)^3 ogf] A329494 5.74356 [(2*x^7+x^6+2*x^4+4*x^3+2*x+1)*(x^4+5*x^2+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A329494 6.08904 [(2*x^7+x^6+2*x^4+4*x^3+2*x+1)*(x^4+5*x^2+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A329502 10.1129 [{-a(n+3)+a(n+2),a(0)=1,a(1)=4,a(2)=6} ogf] A329502 15.6853 [-(x+1)*(2*x+1)/(x-1) ogf] A329502 18.7458 [-(x+1)*(2*x+1)/(x-1) ogf] A329502 9.72884 [-(f(x)-1)*(f(x)*x+2*x^2-f(x)+3*x+1) ogf] A329503 14.2808 [-(x+1)*(2*x^2+2*x+1)/(x-1) ogf] A329503 16.6124 [-(x+1)*(2*x^2+2*x+1)/(x-1) ogf] A329503 9.14613 [{a(n+4)-a(n+3),a(0)=1,a(1)=4,a(2)=8,a(3)=10} ogf] A329503 9.35639 [-(f(x)-1)*(2*x^3+f(x)*x+4*x^2-f(x)+3*x+1) ogf] A329505 14.5015 [(x+1)*(x^2-2*x-1)/(x-1) ogf] A329505 17.0795 [(x+1)*(x^2-2*x-1)/(x-1) ogf] A329505 8.53976 [-(47*f(x)+394)*(-x^3+f(x)*x+x^2-f(x)+3*x+1) ogf] A329505 8.73385 [{a(n+4)-a(n+3),a(0)=1,a(1)=4,a(2)=5,a(3)=4} ogf] A329506 12.5997 [(x+1)*(2*x^3-2*x^2-2*x-1)/(x-1) ogf] A329506 14.5015 [(x+1)*(2*x^3-2*x^2-2*x-1)/(x-1) ogf] A329506 7.68579 [{-a(n+5)+a(n+4),a(0)=1,a(1)=4,a(2)=8,a(3)=8,a(4)=6} ogf] A329506 9.14975 [(f(x)+15)*(-2*x^4+f(x)*x+4*x^2-f(x)+3*x+1) ogf] A329507 11.1091 [(x+1)*(3*x^4-2*x^3-2*x^2-2*x-1)/(x-1) ogf] A329507 12.5661 [(x+1)*(3*x^4-2*x^3-2*x^2-2*x-1)/(x-1) ogf] A329507 6.72396 [{a(n+6)-a(n+5),a(0)=1,a(1)=4,a(2)=8,a(3)=12,a(4)=11,a(5)=8} ogf] A329509 12.5997 [(x+1)*(x^3-x^2-x-1)/(x-1) ogf] A329509 14.5015 [(x+1)*(x^3-x^2-x-1)/(x-1) ogf] A329509 7.68579 [{-a(n+5)+a(n+4),a(0)=1,a(1)=3,a(2)=5,a(3)=5,a(4)=4} ogf] A329509 8.53976 [-(79*f(x)+646)*(-x^4+f(x)*x+2*x^2-f(x)+2*x+1) ogf] A329510 11.1388 [(x+1)*(x^2+x+1)*(x^3-x^2-1)/(x-1) ogf] A329510 6.19822 [{a(n+7)-a(n+6),a(0)=1,a(1)=3,a(2)=6,a(3)=8,a(4)=8,a(5)=7,a(6)=6} ogf] A329510 9.98154 [(x+1)*(x^2+x+1)*(x^3-x^2-1)/(x-1) ogf] A329511 11.1734 [(x+1)*(x^3-x-1)*(x^2+1)^2/(x-1) ogf] A329511 12.6387 [(x+1)*(x^3-x-1)*(x^2+1)^2/(x-1) ogf] A329513 13.4838 [(x^3-2*x^2-1)*(x+1)^2/(x-1) ogf] A329513 15.6853 [(x^3-2*x^2-1)*(x+1)^2/(x-1) ogf] A329513 6.86231 [{-a(n+6)+a(n+5),a(0)=1,a(1)=3,a(2)=6,a(3)=9,a(4)=9,a(5)=8} ogf] A329514 11.0936 [(2*x^5-3*x^4+x^3-2*x^2-1)*(x+1)^2/(x-1) ogf] A329514 12.4589 [(2*x^5-3*x^4+x^3-2*x^2-1)*(x+1)^2/(x-1) ogf] A329516 12.5997 [(x+1)*(x^3-2*x^2-x-1)/(x-1) ogf] A329516 14.5015 [(x+1)*(x^3-2*x^2-x-1)/(x-1) ogf] A329516 7.68579 [{a(n+5)-a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=7,a(4)=6} ogf] A329516 8.00603 [(431*f(x)+5885)*(-x^4+x^3+f(x)*x+3*x^2-f(x)+2*x+1) ogf] A329517 11.0936 [(x+1)*(2*x^2+2*x+1)*(x^3-2*x^2+x-1)/(x-1) ogf] A329517 6.37662 [{-a(n+7)+a(n+6),a(0)=1,a(1)=3,a(2)=6,a(3)=9,a(4)=12,a(5)=12,a(6)=10} ogf] A329517 9.99792 [(x+1)*(2*x^2+2*x+1)*(x^3-2*x^2+x-1)/(x-1) ogf] A329523 15.9754 [x*(x^3-5*x^2+x-1)/(x-1)^5 ogf] A329523 18.8154 [x*(x^3-5*x^2+x-1)/(x-1)^5 ogf] A329523 5.07003 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=15,a(4)=44} ogf] A329530 18.5679 [x*(8*x^2+12*x+1)/(x-1)^4 ogf] A329530 22.4769 [x*(8*x^2+12*x+1)/(x-1)^4 ogf] A329530 5.77109 [-(102438*f(x)+485045)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-8*x^3-4*f(x)*x-12*x^2+f(x)-x) ogf] A329530 6.32683 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=16,a(3)=66} ogf] A329533 4.89667 [{-a(n+3)*n+5*a(n+2)*n-4*a(n+1)*n-5*a(n+3)+20*a(n+2)-6*a(n+1),a(0)=3,a(1)=10,a(2)=36} ogf] A329533 9.62829 [-4*f(x)^2*x^3+f(x)^2*x^2-8*f(x)*x-x^2+2*f(x)+4*x-6 ogf] A329533 9.84963 [(I*x^2-2*I*x+I-(4*x-1)^(1/2))/x^2/(4*x-1)^(1/2) ogf] A329562 8.14753 [-(2*x+1)*(16*x^4+8*x^3+4*x^2+2*x+1)*(16*x^4-8*x^3+4*x^2-2*x+1)/(2*x^10-1) ogf] A329562 8.75105 [-(2*x+1)*(16*x^4+8*x^3+4*x^2+2*x+1)*(16*x^4-8*x^3+4*x^2-2*x+1)/(2*x^10-1) ogf] A329583 6.78501 [-3*x*(2*x^6+3*x^5+x^4-2*x^3+x^2+3*x+2)/(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A329583 7.30196 [-3*x*(2*x^6+3*x^5+x^4-2*x^3+x^2+3*x+2)/(x^2+x+1)/(x-1)^3/(x+1)^3 ogf] A329624 6.17884 [-(x^10-x^9-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A329624 6.57115 [-(x^10-x^9-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A329664 11.4698 [-f(x)^2*x^3-f(x)*x^2+x^3+x^2+f(x)-x-1 ogf] A329665 8.73701 [2*f(x)^2*x^3-f(x)^2*x^2+2*f(x)*x^3+3*f(x)*x^2+x^2-f(x)+2*x+1 ogf] A329666 10.2639 [f(x)^2*x^3+f(x)*x^3+f(x)*x^2-f(x)+x+1 ogf] A329667 4.73659 [f(x)^2*x^4+2*f(x)^2*x^3+f(x)*x^4-f(x)^2*x^2+4*f(x)*x^3+3*f(x)*x^2+x^3-f(x)*x+3*x^2-f(x)+3*x+1 ogf] A329669 5.71325 [-f(x)^2*x^4-3*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3+f(x)^2*x-3*f(x)*x^2-2*f(x)*x+f(x)-x-1 ogf] A329670 13.4627 [-x^3-x-1+f(x) ogf] A329670 16.2481 [[x^3+x+1] ogf] A329670 6.82892 [{-a(n+4),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A329671 7.03404 [-f(x)^2*x^4-2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2+f(x)*x-x^2+f(x)-2*x-1 ogf] A329672 6.99302 [-2*f(x)^2*x^4-2*f(x)^2*x^3+f(x)^2*x^2-3*f(x)*x^3-4*f(x)*x^2-x^2+f(x)-2*x-1 ogf] A329673 7.43504 [-2*f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-2*f(x)*x^2-2*f(x)*x+f(x)-x-1 ogf] A329673 7.83693 [-1/2*(-I*(2*x^2+2*x+1)^(1/2)+(2*x^2+2*x-1)^(1/2))/x/(2*x^2+2*x-1)^(1/2) ogf] A329674 7.44537 [2*f(x)^2*x^3+2*f(x)^2*x^2-f(x)^2*x+f(x)*x^2+3*f(x)*x-f(x)+1 ogf] A329675 5.43935 [f(x)^2*x^4-f(x)^2*x^3-2*f(x)^2*x^2+f(x)*x^3+f(x)^2*x-f(x)*x^2-2*f(x)*x+f(x)-x-1 ogf] A329676 8.70816 [-f(x)^2*x^3-f(x)^2*x^2+f(x)*x^3+f(x)*x^2+f(x)-x-1 ogf] A329677 10.5727 [[(x^2-x+1)*(x+1)^2] ogf] A329677 11.0644 [-x^4-x^3-x-1+f(x) ogf] A329677 5.8737 [{-a(n+5),a(0)=1,a(1)=1,a(2)=0,a(3)=1,a(4)=1} ogf] A329678 12.8586 [(x+1)*(x^2+1) ogf] A329678 7.20864 [{a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A329678 8.34684 [f(x)*(-x^3-x^2+f(x)-x-1) ogf] A329679 10.6743 [(x+1)*(x^3+x^2+1) ogf] A329679 6.15826 [{a(n+5),a(0)=1,a(1)=1,a(2)=1,a(3)=2,a(4)=1} ogf] A329679 6.23824 [-(f(x)-1)*(-x^4-2*x^3-x^2+f(x)-x-1) ogf] A329680 4.68426 [{-a(n+5)+a(n+2),a(0)=1,a(1)=1,a(2)=0,a(3)=1,a(4)=0} ogf] A329680 7.52554 [(x^4-x-1)/(x-1)/(x^2+x+1) ogf] A329680 8.66147 [(x^4-x-1)/(x-1)/(x^2+x+1) ogf] A329680 8.66147 [f(x)*x^3-x^4-f(x)+x+1 ogf] A329682 2.70078 [{a(n+5)-a(n+2),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=0} ogf] A329682 3.0733 [-(f(x)+1)*(f(x)*x^3-x^4+x^2-f(x)+x+1) ogf] A329682 3.47243 [(x+1)*(x^3-x^2-1)/(x-1)/(x^2+x+1) ogf] A329682 3.87503 [(x+1)*(x^3-x^2-1)/(x-1)/(x^2+x+1) ogf] A329683 14.8346 [-(x+1)*(x^2-x+1)/(x-1) ogf] A329683 17.2566 [-(x+1)*(x^2-x+1)/(x-1) ogf] A329683 17.2566 [x^3+f(x)*x-f(x)+1 ogf] A329683 9.6088 [{-a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=2} ogf] A329684 13.7353 [(x^3-x^2-1)/(x-1) ogf] A329684 16.7051 [(x^3-x^2-1)/(x-1) ogf] A329684 7.02373 [{-a(n+4)+a(n+3),a(0)=1,a(1)=1,a(2)=2,a(3)=1} ogf] A329684 7.72611 [(2*f(x)+19)*(-x^3+f(x)*x+x^2-f(x)+1) ogf] A329687 12.2478 [f(x)^2*x^3-f(x)*x+x^2-f(x)+2*x+1 ogf] A329687 12.6028 [1/2*I*((4*x^3-1)^(1/2)-I)*(x+1)/x^3 ogf] A329688 6.47946 [-f(x)^2*x^4-2*f(x)*x^4-2*f(x)*x^3-x^4+f(x)*x^2-3*x^3+2*f(x)*x-4*x^2+f(x)-3*x-1 ogf] A329688 7.30883 [1/2*I*((4*x^3-1)^(1/2)*x+2*I*x^3+(4*x^3-1)^(1/2)-I*x-I)*(x+1)/x^4 ogf] A329689 13.9667 [f(x)^2*x^4+f(x)*x^4+f(x)*x^3-f(x)*x+x^2-f(x)+2*x+1 ogf] A329691 10.0663 [-f(x)^2*x^2+f(x)*x^3+f(x)*x^2-x^3+f(x)-x-1 ogf] A329692 8.60946 [-f(x)^2*x^3+f(x)*x^4-f(x)*x^2+f(x)*x-x^2+f(x)-2*x-1 ogf] A329694 7.38418 [-f(x)^2*x^4-2*f(x)*x^4-2*f(x)*x^3-x^4-2*x^3+f(x)*x-2*x^2+f(x)-2*x-1 ogf] A329694 9.98081 [1/2*I*(2*I*x^3+(4*x^4+4*x^3-1)^(1/2)-I)*(x+1)/x^4 ogf] A329695 8.65298 [f(x)^2*x^3-f(x)^2*x^2+f(x)*x^2-x^3-f(x)*x+f(x)-1 ogf] A329696 5.56431 [f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)*x^4+f(x)^2*x^2-2*f(x)*x^3+x^4-f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A329696 6.01244 [1/2*I*((2*x+1)^(1/2)*(2*x-1)^(1/2)*x-(2*x+1)^(1/2)*(2*x-1)^(1/2)+2*I*x^3-I*x+I)/(x-1)/x^2 ogf] A329699 13.742 [-f(x)^2*x^2+f(x)*x^3+f(x)-x-1 ogf] A329700 8.19307 [-f(x)*x^4-f(x)^2*x^2-f(x)*x^3+f(x)*x-x^2+f(x)-2*x-1 ogf] A329701 8.71361 [f(x)^2*x^3-f(x)^2*x^2+f(x)*x^3-f(x)*x+f(x)-1 ogf] A329702 7.20509 [-f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^3-f(x)*x+f(x)-1 ogf] A329707 12.0222 [-(x-1)*(x^3+x+1)/(x^6-x^2-2*x+1) ogf] A329707 13.5019 [-(x-1)*(x^3+x+1)/(x^6-x^2-2*x+1) ogf] A329707 6.13723 [{a(n+6)-2*a(n+5)-a(n+4)+a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=11,a(4)=25,a(5)=61} ogf] A329723 10.0717 [(5*f(x)+28)*(f(x)*x^2-2*x^3+f(x)*x-f(x)+1) ogf] A329723 20.1433 [(2*x^3-1)/(x^2+x-1) ogf] A329723 24.4986 [(2*x^3-1)/(x^2+x-1) ogf] A329723 8.55141 [{a(n+4)-a(n+3)-a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=1} ogf] A329753 10.2404 [x*(30*x^6+519*x^5+1715*x^4+1660*x^3+510*x^2+45*x+1)/(x-1)^10 ogf] A329753 9.33017 [x*(30*x^6+519*x^5+1715*x^4+1660*x^3+510*x^2+45*x+1)/(x-1)^10 ogf] A329754 8.30422 [x*(2*x^7+304*x^6+3474*x^5+9350*x^4+7570*x^3+1863*x^2+116*x+1)/(x-1)^10 ogf] A329754 9.01096 [x*(2*x^7+304*x^6+3474*x^5+9350*x^4+7570*x^3+1863*x^2+116*x+1)/(x-1)^10 ogf] A329755 7.70372 [x*(13*x^7+1248*x^6+12424*x^5+30465*x^4+22425*x^3+4862*x^2+242*x+1)/(x-1)^10 ogf] A329755 8.32625 [x*(13*x^7+1248*x^6+12424*x^5+30465*x^4+22425*x^3+4862*x^2+242*x+1)/(x-1)^10 ogf] A329756 6.94464 [x*(44*x^7+3504*x^6+32544*x^5+75580*x^4+52420*x^3+10461*x^2+446*x+1)/(x-1)^10 ogf] A329756 7.50021 [x*(44*x^7+3504*x^6+32544*x^5+75580*x^4+52420*x^3+10461*x^2+446*x+1)/(x-1)^10 ogf] A329757 7.95445 [x*(110*x^7+7930*x^6+70629*x^5+158255*x^4+105370*x^3+19830*x^2+755*x+1)/(x-1)^10 ogf] A329757 8.57227 [x*(110*x^7+7930*x^6+70629*x^5+158255*x^4+105370*x^3+19830*x^2+755*x+1)/(x-1)^10 ogf] A329764 8.51757 [-(5*f(x)*x-f(x)-2*x+1)^3 ogf] A329771 8.70786 [(x+1)*(3*x^7-2*x^6-x^5-2*x^4-x^3-2*x^2-x-1)/(x-1) ogf] A329771 9.52743 [(x+1)*(3*x^7-2*x^6-x^5-2*x^4-x^3-2*x^2-x-1)/(x-1) ogf] A329774 10.9254 [-(2*x^3-x^2-x-1)/(x-1)/(3*x^3-1) ogf] A329774 12.3583 [-(2*x^3-x^2-x-1)/(x-1)/(3*x^3-1) ogf] A329774 6.03084 [-(15*f(x)+43)*(3*f(x)*x^4-3*f(x)*x^3+2*x^3-f(x)*x-x^2+f(x)-x-1) ogf] A329774 6.49875 [{a(n+4)-a(n+3)-3*a(n+1)+3*a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=4} ogf] A329779 3.38328 [(x+1)*(x^16-x^14+x^13-x^12+x^11-x^10+x^9+x^7-x^6+x^5-x^4+x^3-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A329779 3.50045 [(x+1)*(x^16-x^14+x^13-x^12+x^11-x^10+x^9+x^7-x^6+x^5-x^4+x^3-x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x-1)^2 ogf] A329780 3.45869 [(x+1)*(x^20+x^18+x^16-x^15+x^14+x^12+x^8+x^6-x^5+x^4+x^2+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A329780 3.58059 [(x+1)*(x^20+x^18+x^16-x^15+x^14+x^12+x^8+x^6-x^5+x^4+x^2+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A329822 13.6669 [2*(x^4-2*x^3+2*x^2-4*x+4)/(x-1)^2 ogf] A329822 15.7298 [2*(x^4-2*x^3+2*x^2-4*x+4)/(x-1)^2 ogf] A329822 6.88993 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=8,a(1)=8,a(2)=12,a(3)=12,a(4)=14} ogf] A329822 7.57892 [(f(x)+44)*(-2*x^4+f(x)*x^2+4*x^3-2*f(x)*x-4*x^2+f(x)+8*x-8) ogf] A329827 4.14313 [(x+1)*(x^2+x+1)*(x^2-x+1)*(2*x^7+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329827 4.31944 [(x+1)*(x^2+x+1)*(x^2-x+1)*(2*x^7+x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329828 4.47227 [(x+1)*(x^2+x+1)*(x^2-x+1)*(x^6+x^5+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329828 4.67789 [(x+1)*(x^2+x+1)*(x^2-x+1)*(x^6+x^5+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329831 3.64374 [(x+1)*(x^2+1)*(2*x^9+x+1)*(x^4+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329831 3.77869 [(x+1)*(x^2+1)*(2*x^9+x+1)*(x^4+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329832 4.21093 [(x+1)*(x^2+1)*(x^4+1)*(x^8+x^7+2)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A329832 4.38917 [(x+1)*(x^2+1)*(x^4+1)*(x^8+x^7+2)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A329833 3.57261 [(2*x^12+2*x^11+2*x^10+x^9+2*x^8+2*x^7+x^6+2*x^5+2*x^4+x^3+2*x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329833 3.70312 [(2*x^12+2*x^11+2*x^10+x^9+2*x^8+2*x^7+x^6+2*x^5+2*x^4+x^3+2*x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329834 5.77854 [(x^9+2*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A329834 6.12612 [(x^9+2*x^8+2*x^7+3*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A329835 3.06097 [(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(2*x^11+x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^2 ogf] A329835 3.15516 [(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(2*x^11+x+1)/(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1)/(x-1)^2 ogf] A329847 5.85363 [(x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A329847 6.20573 [(x^9+x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A329908 4.59399 [{a(n+6)-a(n+5)-3*a(n+4)+a(n+3)+2*a(n+1)+4*a(n),a(0)=2,a(1)=2,a(2)=5,a(3)=6,a(4)=15,a(5)=24} ogf] A329908 8.09634 [-(4*x^4+3*x^3+3*x^2-2)/(-1+2*x)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A329908 8.7928 [-(4*x^4+3*x^3+3*x^2-2)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A329925 5.37489 [-(x^29-2*x^28-x^27-x^26+3*x^25+x^6-x^5-x^4-x^3-x^2-x-2)/(x^27-x^25+x^4+x^2+1) ogf_with_Euler_transform] A329938 3.77869 [(x+1)*(x^2+1)*(2*x^9+x+1)*(x^4+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329939 4.38917 [(x+1)*(x^2+1)*(x^4+1)*(x^8+x^7+2)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A329952 10.1018 [x*(6*x^4+2*x^3+6*x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329952 6.37631 [{a(n+6)-a(n+5)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=8,a(4)=10,a(5)=16} ogf] A329955 5.58995 [(3*x^5+x^4+2*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A329956 5.88696 [(3*x^5+3*x^4+x^3+4*x^2+x+3)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A329957 8.53448 [(3*x^3+x^2-3*x+4)/(x-1)/(x+1)/(x^2-x+1) ogf_with_Euler_transform] A329958 8.39359 [(3*x^4+x^3+2*x^2+x+2)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A329971 3.72313 [-(x^16+x^14+x^12-x^11+x^10-2*x^9-x^7-x^5-x^3+x^2-x+1)/(x^16-x^14-2*x^13-5*x^12+3*x^11-7*x^10+2*x^9-2*x^8-x^7-x^5+3*x^3-3*x^2+3*x-1) ogf] A329977 5.88475 [(4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A329988 6.01214 [(x+1)*(x^8+x^7+2*x^6+x^5+2*x^4+x^3+2*x^2+x+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A329997 7.07975 [(4*x^6+3*x^5+4*x^4+3*x^3+4*x^2+3*x+3)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A330002 10.7029 [(x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A330002 6.43844 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=6} ogf] A330010 13.023 [-(3*x^4+6*x^3+5*x^2+2*x+1)/(x^2+x-1) ogf] A330010 6.62002 [{a(n+5)-a(n+4)-a(n+3),a(0)=1,a(1)=3,a(2)=9,a(3)=18,a(4)=30} ogf] A330010 7.28809 [(f(x)-1)*(3*x^4+f(x)*x^2+6*x^3+f(x)*x+5*x^2-f(x)+2*x+1) ogf] A330011 4.18135 [(8*x^13-6*x^12-40*x^11-22*x^10-41*x^9-10*x^8-17*x^7+4*x^6+2*x^5+7*x^4+7*x^3+8*x^2+3*x+1)/(x-1)/(2*x^3-1)/(x^4+2*x^3-1)/(x^4+x^3-1) ogf] A330016 3.01156 [{-a(n+2)*n^2-a(n+1)*n^2+2*a(n+3)*n-4*a(n+2)*n-6*a(n+1)*n-a(n+4)+6*a(n+3)-2*a(n+2)-9*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=9} ogf] A330025 10.7452 [x*(x^2+1)/(x^4-x^3+x^2-x+1) ogf] A330025 4.60509 [{a(n+4)-a(n+3)+a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=1,a(3)=1} ogf] A330025 5.94637 [-f(x)*x^4+f(x)*x^3-f(x)*x^2+x^3+f(x)*x-f(x)+x ogf] A330033 11.5562 [x*(x-1)^2/(x^4-x^3+x^2-x+1) ogf] A330033 4.60509 [{a(n+4)-a(n+3)+a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=-1,a(3)=-1} ogf] A330033 5.51781 [f(x)*x^4-f(x)*x^3+f(x)*x^2-x^3-f(x)*x+2*x^2+f(x)-x ogf] A330035 3.60398 [-x*(x^10-x^9+x^8+x^7-x^6+x^5+x^4-x^3+x^2+x-1)/(x+1)/(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ogf] A330044 3.63221 [{a(n+5)*n-a(n+2)*n+5*a(n+5)-a(n+4)-5*a(n+2)+a(n+1),a(0)=1,a(1)=1,a(2)=1/2,a(3)=7/6,a(4)=25/24} egf] A330045 3.24848 [{-a(n+2)*n+a(n+6)*n-a(n+5)-6*a(n+2)+a(n+1)+6*a(n+6),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=25/24,a(5)=121/120} egf] A330050 6.79419 [-x*(x+1)*(3*x^2-5*x+3)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A330051 6.95841 [-x^2*(x^3-x^2-x+2)/(x-1)/(x^2-3*x+1)/(x^2+x-1)/(x^2-x-1) ogf] A330057 11.057 [-(f(x)-1)^3 ogf] A330082 13.5895 [-5*x*(x^6+4*x^3+1)/(x-1)^3/(x^2+1)^3 ogf] A330112 4.5306 [(x+1)*(3*x^9+2*x^5+x^4+x+2)*(x^2+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A330130 4.87058 [-(6*x^15+10*x^14+18*x^13+24*x^12+26*x^11+29*x^10+30*x^9+29*x^8+28*x^7+26*x^6+18*x^5+12*x^4+8*x^3+4*x^2+2*x+1)/(x^10+x^8-1) ogf] A330132 10.6355 [-(6*x^6+6*x^5+9*x^4+5*x^3+3*x^2+2*x+1)/(x^3+x-1) ogf] A330132 5.60912 [{a(n+7)-a(n+6)-a(n+4),a(0)=1,a(1)=3,a(2)=6,a(3)=12,a(4)=24,a(5)=36,a(6)=54} ogf] A330133 10.0898 [-x*(x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A330133 4.84538 [{-a(n+6)+2*a(n+5)-a(n+4)+a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=6,a(4)=10,a(5)=16} ogf] A330135 12.5015 [1/(10000*x-1)/(x-1) ogf] A330135 3.58953 [(100000001*f(x)+20000)*(10000*f(x)*x^2-10001*f(x)*x+f(x)-1) ogf] A330135 4.21561 [{-a(n+2)+10001*a(n+1)-10000*a(n),a(0)=1,a(1)=10001} ogf] A330139 18.234 [(1460*x^20+55*x^11+4*x^4-1)/(x^2+x-1) ogf] A330151 14.2979 [16*x*(x+1)*(x^2+10*x+1)/(x-1)^6 ogf] A330151 3.7626 [{a(n+6)-6*a(n+5)+15*a(n+4)-20*a(n+3)+15*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=16,a(2)=272,a(3)=1568,a(4)=5664,a(5)=15664} ogf] A330170 4.32643 [(188*f(x)-30337)*(36*f(x)*x^4-72*f(x)*x^3+47*f(x)*x^2+72*x^3-12*f(x)*x-144*x^2+f(x)+72*x-10) ogf] A330170 4.53529 [{a(n+4)-12*a(n+3)+47*a(n+2)-72*a(n+1)+36*a(n),a(0)=10,a(1)=48,a(2)=250,a(3)=1392} ogf] A330170 7.82877 [-2*(36*x^3-72*x^2+36*x-5)/(x-1)/(6*x-1)/(3*x-1)/(2*x-1) ogf] A330179 3.94794 [(2*x^12+4*x^11+5*x^10+4*x^9+5*x^8+4*x^7+6*x^6+5*x^5+4*x^4+5*x^3+4*x^2+5*x+4)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A330197 9.69331 [2*x^3*(x+2)*(x^2+2*x+3)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A330246 10.2146 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=4,a(1)=17} ogf] A330246 18.6852 [-(3*x-4)/(4*x-1)/(x-1) ogf] A330246 8.80566 [(53*f(x)+77)*(4*f(x)*x^2-5*f(x)*x+f(x)+3*x-4) ogf] A330298 22.2847 [x^4*(x+2)/(x+1)^3/(x-1)^4 ogf] A330298 4.17202 [{-2*a(n+4)*n-a(n+3)*n+2*a(n+2)*n+a(n+1)*n+4*a(n+3)+11*a(n+2)+3*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A330299 20.0086 [-x^6*(x+3)/(x+1)^4/(x-1)^5 ogf] A330300 15.8059 [x^6*(x^3+3*x^2+3*x+3)/(x+1)^5/(x-1)^6 ogf] A330336 3.44136 [x*(91*x^14+x^13+x^12+x^11+x^10+2*x^9+2*x^8+2*x^7+2*x^6+2*x^5+x^4+x^3+x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2/(x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A330343 2.80274 [-(f(x)-1)*(5760*x^5+133*f(x)*x-f(x)-133*x+1) ogf] A330357 14.6963 [-(3*x^3-2*x^2-x+2)/(x+1)/(x-1)^3 ogf] A330357 6.92303 [(14*f(x)-11)*(f(x)*x^4-2*f(x)*x^3+3*x^3+2*f(x)*x-2*x^2-f(x)-x+2) ogf] A330357 7.22144 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=4,a(3)=7} ogf] A330363 5.68063 [-(47673169*x^6-276392276*x^5+668276873*x^4-862499348*x^3+626672785*x^2-243032172*x+39300979)/(x-1)^7 ogf] A330373 99.9999 Evaluated at exp(-Pi) 1/24*exp(-1/24*Pi)*2^(1/4) A330389 4.44953 [-(15862174799883264*f(x)+143996301931204001315)*(5072427360*x^4+281035755*x^3+f(x)*x+764505*x^2-f(x)+1215*x+45) ogf] A330389 5.54425 [{-a(n+5)+a(n+4),a(0)=45,a(1)=1260,a(2)=765765,a(3)=281801520,a(4)=5354228880} ogf] A330389 9.56953 [-45*(112720608*x^4+6245239*x^3+16989*x^2+27*x+1)/(x-1) ogf] A330390 18.411 [-(15*x+1)/(17*x^2+2*x-1) ogf] A330390 7.6386 [-(26*f(x)+263)*(17*f(x)*x^2+2*f(x)*x-f(x)+15*x+1) ogf] A330390 9.44774 [{a(n+2)-2*a(n+1)-17*a(n),a(0)=1,a(1)=17} ogf] A330395 18.645 [(2*x^4-3*x^3-4*x^2+5*x+1)/(x-1)^4 ogf] A330395 5.81913 [{-a(n+5)+4*a(n+4)-6*a(n+3)+4*a(n+2)-a(n+1),a(0)=1,a(1)=9,a(2)=26,a(3)=51,a(4)=85} ogf] A330395 5.97126 [(1250*f(x)+152593)*(f(x)*x^4-4*f(x)*x^3-2*x^4+6*f(x)*x^2+3*x^3-4*f(x)*x+4*x^2+f(x)-5*x-1) ogf] A330396 17.458 [(3*x^3-x^2-x+2)/(x^2+x+1)/(x-1)^2 ogf] A330396 8.72902 [(69*f(x)+271)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x+x^2+f(x)+x-2) ogf] A330396 9.26035 [{a(n+4)-a(n+3)-a(n+1)+a(n),a(0)=2,a(1)=1,a(2)=0,a(3)=5} ogf] A330451 3.9111 [{-a(n+5)+2*a(n+4)-a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=13,a(3)=30,a(4)=53} ogf] A330451 8.89374 [-x*(x+1)*(3*x^2+4*x+3)/(x^2+x+1)/(x-1)^3 ogf] A330500 4.22316 [(x^4-x^3+x^2-x+1)*(x^22+x^21-x^17-x^16-x^13+x^11+x^10+x^8-x^6-x^5+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A330500 4.40287 [(x^4-x^3+x^2-x+1)*(x^22+x^21-x^17-x^16-x^13+x^11+x^10+x^8-x^6-x^5+1)/(x^6+x^3+1)/(x^2+x+1)^2/(x-1)^4 ogf] A330513 7.79515 [-(x^15-x^7+x^5-x^4+x^3-x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A330513 8.43149 [-(x^15-x^7+x^5-x^4+x^3-x+1)/(x+1)/(x^2+1)/(x-1)^3 ogf] A330520 15.4401 [-2*x^2*(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A330520 17.7707 [-2*x^2*(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A330520 3.65057 [{a(n+5)*n+a(n+4)*n-a(n+2)*n-a(n+1)*n+3*a(n+5)-2*a(n+4)-12*a(n+3)-9*a(n+2)-4*a(n+1),a(0)=0,a(1)=0,a(2)=2,a(3)=8,a(4)=24} ogf] A330592 17.8646 [-2*x^2*(2*x+1)/(2*x^2-1)^3 ogf] A330592 21.7272 [-2*x^2*(2*x+1)/(2*x^2-1)^3 ogf] A330592 5.70146 [{-a(n+6)+6*a(n+4)-12*a(n+2)+8*a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=4,a(4)=12,a(5)=24} ogf] A330602 5.49324 [{-a(n+6)+a(n+4)+a(n+2)-a(n),a(0)=0,a(1)=2,a(2)=1,a(3)=5,a(4)=0,a(5)=6} ogf] A330602 8.15126 [-x*(x^4+x^3-3*x^2-x-2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A330602 8.91844 [-x*(x^4+x^3-3*x^2-x-2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A330607 7.88435 [-(6*x^14-4*x^13-4*x^12+6*x^11+x^10-2*x^9-2*x^6+4*x^5-1)/(5*x^5-1)/(5*x^10-1) ogf] A330607 8.43282 [-(6*x^14-4*x^13-4*x^12+6*x^11+x^10-2*x^9-2*x^6+4*x^5-1)/(5*x^5-1)/(5*x^10-1) ogf] A330619 7.46346 [-(2*x^5-2*x^4+1)*(4*x^10+4*x^8-4*x^4+1)/(2*x^2-1)/(2*x^2+1)/(8*x^8-4*x^4+1) ogf] A330619 7.96946 [-(2*x^5-2*x^4+1)*(4*x^10+4*x^8-4*x^4+1)/(2*x^2-1)/(2*x^2+1)/(8*x^8-4*x^4+1) ogf] A330633 4.66602 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A330633 4.88559 [x^11*(9*x^8+8*x^7+7*x^6+6*x^5+5*x^4+4*x^3+3*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^4+x^3+x^2+x+1)^2/(x^4-x^3+x^2-x+1)^2 ogf] A330635 5.22015 [-(36*x^21-36*x^18+8*x^17-4*x^16-4*x^15+8*x^14-4*x^13+8*x^12+2*x^10+x^9+2*x^7-5*x^6+1)/(6*x^6-1)/(12*x^12+1) ogf] A330635 5.49133 [-(36*x^21-36*x^18+8*x^17-4*x^16-4*x^15+8*x^14-4*x^13+8*x^12+2*x^10+x^9+2*x^7-5*x^6+1)/(6*x^6-1)/(12*x^12+1) ogf] A330640 12.4967 [(x^6-x^5+2*x^3-x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A330640 13.9456 [(x^6-x^5+2*x^3-x^2-x+1)/(x+1)^2/(x-1)^4 ogf] A330640 4.47556 [{-a(n+7)+2*a(n+6)+a(n+5)-4*a(n+4)+a(n+3)+2*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=5,a(5)=7,a(6)=11} ogf] A330641 7.14573 [(x^12-x^11+x^9+x^8-x^7-2*x^6+x^5+2*x^4-x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A330641 7.58211 [(x^12-x^11+x^9+x^8-x^7-2*x^6+x^5+2*x^4-x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A330642 4.79235 [(x^20-x^19+x^17+x^15-2*x^14-x^13+x^12+x^11+3*x^10-2*x^9-2*x^8-x^7+3*x^5-x^2-x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^4/(x-1)^8 ogf] A330642 4.98997 [(x^20-x^19+x^17+x^15-2*x^14-x^13+x^12+x^11+3*x^10-2*x^9-2*x^8-x^7+3*x^5-x^2-x+1)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^4/(x-1)^8 ogf] A330651 12.4639 [-2*x*(x^3-3*x^2+12*x+2)/(x-1)^5 ogf] A330651 14.4581 [-2*x*(x^3-3*x^2+12*x+2)/(x-1)^5 ogf] A330651 4.25238 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=4,a(2)=44,a(3)=174,a(4)=472} ogf] A330700 17.1646 [x^2*(x+1)*(x-5)/(x-1)^5 ogf] A330700 20.5138 [x^2*(x+1)*(x-5)/(x-1)^5 ogf] A330700 5.06665 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=5,a(3)=29,a(4)=94} ogf] A330707 10.8583 [-x*(2*x^2+1)/(x^2+1)/(x-1)^3 ogf] A330707 12.4973 [-x*(2*x^2+1)/(x^2+1)/(x-1)^3 ogf] A330707 4.03878 [{-a(n+5)+3*a(n+4)-4*a(n+3)+4*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=7,a(4)=13} ogf] A330715 8.77963 [-(2*x^8-2*x^7+x^6-x^4+2*x^3-x^2-x+1)/(x+1)/(x-1)^3 ogf] A330715 9.56881 [-(2*x^8-2*x^7+x^6-x^4+2*x^3-x^2-x+1)/(x+1)/(x-1)^3 ogf] A330767 10.4605 [{-a(n+2)+25*a(n+1)+a(n),a(0)=2,a(1)=25} ogf] A330767 18.4883 [(25*x-2)/(x^2+25*x-1) ogf] A330767 22.7142 [(25*x-2)/(x^2+25*x-1) ogf] A330767 8.36841 [-(629*f(x)-633)*(f(x)*x^2+25*f(x)*x-f(x)-25*x+2) ogf] A330770 13.2504 [-(155*x-36)/(8*x-1)/(x-1) ogf] A330770 15.6595 [-(155*x-36)/(8*x-1)/(x-1) ogf] A330770 7.10328 [-(945*f(x)-5459)*(8*f(x)*x^2-9*f(x)*x+f(x)+155*x-36) ogf] A330770 8.94829 [{a(n+2)-9*a(n+1)+8*a(n),a(0)=36,a(1)=169} ogf] A330793 3.31558 [{-5*a(n+2)*n^2+22*a(n+1)*n^2+27*a(n)*n^2-15*a(n+2)*n+60*a(n+1)*n+27*a(n)*n-10*a(n+2)+38*a(n+1)+6*a(n),a(0)=1,a(1)=2,a(2)=8} ogf] A330793 6.95973 [27*f(x)^3*x-5*f(x)^3-27*f(x)^2*x+5*f(x)^2+9*f(x)*x+f(x)-x-1 ogf] A330795 11.3304 [-4*f(x)*x^2-3*f(x)*x+4*x^2+f(x)-1 ogf] A330795 13.3182 [(2*x-1)*(2*x+1)/(x+1)/(4*x-1) ogf] A330795 15.4926 [(2*x-1)*(2*x+1)/(x+1)/(4*x-1) ogf] A330795 8.07592 [{-a(n+3)+3*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=9} ogf] A330796 3.44018 [{3*a(n+2)*n+9*a(n+1)*n-5*a(n+3)*n+a(n+4)*n+15*a(n+2)+18*a(n+1)-22*a(n+3)+5*a(n+4),a(0)=0,a(1)=1,a(2)=4,a(3)=14} ogf] A330796 5.55722 [-1/2*I*(I*x*(3*x-1)^(1/2)-I*(3*x-1)^(1/2)+3*(x+1)^(1/2)*x-(x+1)^(1/2))/x/(3*x-1)^(3/2) ogf] A330796 7.03258 [9*f(x)^2*x^3-6*f(x)^2*x^2+f(x)^2*x-3*f(x)*x^2+4*f(x)*x-f(x)+x ogf] A330797 24.2298 [2*x+1-f(x)^2 egf] A330797 30.0449 [(2*x+1)^(1/2) egf] A330797 8.34581 [{-2*a(n+1)*n-a(n+2)-a(n+1),a(0)=1,a(1)=1} ogf] A330799 10.4091 [-7*f(x)^2*x^2+f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A330799 8.43684 [1/2*I*((2*x+1)^(1/2)*(6*x-1)^(1/2)+4*I*x-I)/x/(7*x-1) ogf] A330800 12.6573 [3*f(x)^2*x^2-f(x)^2*x-f(x)+1 ogf] A330800 9.2195 [1/2*I*((6*x+1)^(1/2)*(2*x-1)^(1/2)-I)/(3*x-1)/x ogf] A330801 3.90963 [-4*f(x)^3*x^3-44*f(x)^3*x^2-4*f(x)^2*x^3+4*f(x)^3*x-44*f(x)^2*x^2+4*f(x)^2*x-f(x)*x^2+10*f(x)*x-x^2-f(x)-14*x+1 ogf] A330802 9.29172 [-3*f(x)^2*x^2-f(x)^2*x-4*f(x)*x+f(x)-1 ogf] A330802 9.66842 [-1/2*(4*x-1+(4*x^2-12*x+1)^(1/2))/x/(3*x+1) ogf] A330803 11.5073 [-f(x)^2*x^2-3*f(x)^2*x-f(x)+1 ogf] A330803 9.69898 [1/2*(-1+(4*x^2+12*x+1)^(1/2))/x/(x+3) ogf] A330805 20.4947 [-x*(x+3)^2/(x-1)^5 ogf] A330805 25.4631 [-x*(x+3)^2/(x-1)^5 ogf] A330805 4.94284 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=51,a(3)=166,a(4)=410} ogf] A330844 3.99538 [{-a(n+7)+2*a(n+6)+a(n+5)-2*a(n+4)-2*a(n+3)+2*a(n+2),a(0)=1,a(1)=6,a(2)=18,a(3)=42,a(4)=90,a(5)=186,a(6)=366} ogf] A330844 8.36147 [-(2*x+1)*(6*x^5+2*x^4+x^2+2*x+1)/(2*x^3+2*x^2-1)/(x-1)^2 ogf] A330844 9.11307 [-(2*x+1)*(6*x^5+2*x^4+x^2+2*x+1)/(2*x^3+2*x^2-1)/(x-1)^2 ogf] A330859 5.36294 [-(89*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-100)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A330859 5.58994 [-(89*x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-100)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A330881 8.59916 [x*(x^6-x^5+x^4+x^2+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A330881 9.37212 [x*(x^6-x^5+x^4+x^2+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A330910 11.1452 [-x/(x^2-x+1)/(x^3+x^2-1)/(x-1)^2 ogf] A330910 12.5169 [-x/(x^2-x+1)/(x^3+x^2-1)/(x-1)^2 ogf] A330983 10.4583 [-(2*x^5-7*x^4+24*x^3+6*x^2+6*x+1)/(x-1)^3/(x+1)^3 ogf] A330983 11.589 [-(2*x^5-7*x^4+24*x^3+6*x^2+6*x+1)/(x-1)^3/(x+1)^3 ogf] A330983 5.95544 [{-a(n+6)+3*a(n+4)-3*a(n+2)+a(n),a(0)=1,a(1)=6,a(2)=9,a(3)=42,a(4)=17,a(5)=110} ogf] A330987 10.2162 [-(x^5-7*x^4+12*x^3+6*x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A330987 11.3207 [-(x^5-7*x^4+12*x^3+6*x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A330987 5.85826 [{-a(n+6)+3*a(n+4)-3*a(n+2)+a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=21,a(4)=17,a(5)=55} ogf] A331101 11.9094 [-(x^5+x^3-3*x^2-2*x-1)/(x^6-6*x^3+1) ogf] A331101 13.3751 [-(x^5+x^3-3*x^2-2*x-1)/(x^6-6*x^3+1) ogf] A331101 7.01115 [{a(n+6)-6*a(n+3)+a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=5,a(4)=12,a(5)=17} ogf] A331106 9.0612 [f(x)*(-f(x)*x^4+f(x)^2*x^2+f(x)^2*x+x^3-f(x)) ogf] A331115 12.1326 [-(x+1)*(x^3-2*x^2-2*x-1)/(x^6-6*x^3+1) ogf] A331115 13.5392 [-(x+1)*(x^3-2*x^2-2*x-1)/(x^6-6*x^3+1) ogf] A331115 7.53394 [{a(n+6)-6*a(n+3)+a(n),a(0)=1,a(1)=3,a(2)=4,a(3)=7,a(4)=17,a(5)=24} ogf] A331162 4.98887 [-x*(x^19-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A331162 5.18942 [-x*(x^19-x^10-x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A331190 18.806 [-5*(2*x^2-6*x+9)/(x-1)^3 ogf] A331190 22.8722 [-5*(2*x^2-6*x+9)/(x-1)^3 ogf] A331190 6.99397 [(3285*f(x)-66497)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)-30*x+45) ogf] A331190 7.76395 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=45,a(1)=105,a(2)=190} ogf] A331192 6.47513 [x*(x^6-x^5-2*x^4+4*x^3-2*x^2-4*x-1)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A331192 6.90324 [x*(x^6-x^5-2*x^4+4*x^3-2*x^2-4*x-1)/(x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A331211 10.1386 [{-a(n+2)+8*a(n+1)-3*a(n),a(0)=1,a(1)=15} ogf] A331211 18.5463 [(7*x+1)/(3*x^2-8*x+1) ogf] A331211 23.0423 [(7*x+1)/(3*x^2-8*x+1) ogf] A331211 8.74019 [(38*f(x)+37)*(3*f(x)*x^2-8*f(x)*x+f(x)-7*x-1) ogf] A331261 6.17922 [-x*(x^5+x^4-4*x^3-4*x^2-5*x-1)/(x+1)/(x^2+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A331261 6.58776 [-x*(x^5+x^4-4*x^3-4*x^2-5*x-1)/(x+1)/(x^2+1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A331265 6.04566 [x*(217*x^9+183*x^8+161*x^7+183*x^6+217*x^5-1023*x^4-721*x^3-483*x^2-377*x-279)/(x-1)/(x^10-6*x^5+1) ogf] A331265 6.39362 [x*(217*x^9+183*x^8+161*x^7+183*x^6+217*x^5-1023*x^4-721*x^3-483*x^2-377*x-279)/(x-1)/(x^10-6*x^5+1) ogf] A331319 14.8669 [-x*(2*x^2-1)/(2*x^2+2*x-1)^2 ogf] A331319 17.5099 [-x*(2*x^2-1)/(2*x^2+2*x-1)^2 ogf] A331319 6.79265 [{a(n+4)-4*a(n+3)+8*a(n+1)+4*a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=14} ogf] A331319 9.26997 [-4*f(x)*x^4-8*f(x)*x^3-2*x^3+4*f(x)*x-f(x)+x ogf] A331320 11.5171 [(2*x-1)*(x+1)*(2*x^2-1)/(2*x^2+2*x-1)^2 ogf] A331320 13.0276 [(2*x-1)*(x+1)*(2*x^2-1)/(2*x^2+2*x-1)^2 ogf] A331320 5.75856 [{a(n+5)-4*a(n+4)+8*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=26,a(4)=80} ogf] A331320 6.16032 [(76*f(x)+43)*(4*f(x)*x^4+8*f(x)*x^3-4*x^4-2*x^3-4*f(x)*x+4*x^2+f(x)+x-1) ogf] A331321 10.9025 [(x-1)*(x+1)*(x^2+x-1)/(x^2+2*x-1)^2 ogf] A331321 12.2443 [(x-1)*(x+1)*(x^2+x-1)/(x^2+2*x-1)^2 ogf] A331321 5.1018 [{a(n+5)-4*a(n+4)+2*a(n+3)+4*a(n+2)+a(n+1),a(0)=1,a(1)=3,a(2)=8,a(3)=23,a(4)=64} ogf] A331321 5.23605 [-(79+172*f(x))*(f(x)*x^4+4*f(x)*x^3-x^4+2*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)+x-1) ogf] A331322 14.3362 [hypergeom([2/3,4/3],[1],27*x) ogf] A331322 4.11961 [{-a(n+2)*n^2+27*a(n+1)*n^2-4*a(n+2)*n+108*a(n+1)*n-4*a(n+2)+105*a(n+1),a(0)=1,a(1)=24} ogf] A331323 15.5814 [-1/(4*x^2-8*x+1)^(3/2)*(2*x-1) ogf] A331323 3.22147 [{-20*a(n+2)*n-a(n+4)*n+10*a(n+3)*n+8*a(n+1)*n-60*a(n+2)-4*a(n+4)+40*a(n+3)+24*a(n+1),a(0)=1,a(1)=10,a(2)=90,a(3)=772} ogf] A331325 4.34175 [-(cosh(1)*cosh(1/(x-1))+sinh(1)*sinh(1/(x-1)))/(cosh(1)-sinh(1))/(cosh(1)+sinh(1))/(x-1) egf] A331326 4.44452 [(cosh(1)*sinh(1/(x-1))+sinh(1)*cosh(1/(x-1)))/(cosh(1)-sinh(1))/(cosh(1)+sinh(1))/(x-1) egf] A331328 10.0769 [-1/2*(-6*x-1+3*(4*x^2-12*x+1)^(1/2))/(15*x-1) ogf] A331328 9.66842 [-15*f(x)^2*x+f(x)^2+6*f(x)*x+f(x)-2 ogf] A331334 12.0783 [1/exp(-1)/(2*x+1)*exp(-1/(2*x+1)) egf] A331334 4.25881 [{4*a(n+1)*n^2+4*a(n+2)*n+16*a(n+1)*n+a(n+3)+8*a(n+2)+16*a(n+1),a(0)=1,a(1)=0,a(2)=-4} ogf] A331347 11.1402 [(x^4-4*x^3+4*x^2-3*x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A331347 4.92738 [{a(n+5)-5*a(n+4)+8*a(n+3)-5*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=15,a(4)=37} ogf] A331347 5.22905 [(47*f(x)-84)*(f(x)*x^4-5*f(x)*x^3-x^4+8*f(x)*x^2+4*x^3-5*f(x)*x-4*x^2+f(x)+3*x-1) ogf] A331347 9.98274 [(x^4-4*x^3+4*x^2-3*x+1)/(x^2-3*x+1)/(x-1)^2 ogf] A331350 4.03907 [1/60*exp(x)*(x^10+55*x^9+1155*x^8+11880*x^7+64002*x^6+179802*x^5+248850*x^4+151200*x^3+33540*x^2+2340*x+60) egf] A331351 7.09049 [-(2*x^6+282*x^5+1628*x^4+2253*x^3+813*x^2+61*x+1)/(x-1)^9 ogf] A331351 7.79954 [-(2*x^6+282*x^5+1628*x^4+2253*x^3+813*x^2+61*x+1)/(x-1)^9 ogf] A331353 7.41546 [(x^6+20*x^5+191*x^4+416*x^3+191*x^2+20*x+1)/(x-1)^8 ogf] A331353 8.22811 [(x^6+20*x^5+191*x^4+416*x^3+191*x^2+20*x+1)/(x-1)^8 ogf] A331363 4.44948 [-x^2*(x^7-x^6+x^5+2*x^4-x^3-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A331363 4.74366 [-x^2*(x^7-x^6+x^5+2*x^4-x^3-1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A331390 11.3951 [-(2*x^4-3*x^3-2*x^2+5*x+1)/(x+1)/(x-1)^5 ogf] A331390 12.7975 [-(2*x^4-3*x^3-2*x^2+5*x+1)/(x+1)/(x-1)^5 ogf] A331390 4.57055 [{a(n+6)-4*a(n+5)+5*a(n+4)-5*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=29,a(3)=68,a(4)=134,a(5)=237} ogf] A331394 4.54581 [{a(n+6)-a(n+5)+a(n+4)-2*a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=2,a(4)=3,a(5)=5} ogf] A331394 7.55933 [-(x+1)*(2*x^4-2*x^3+2*x^2-x+1)/(2*x^3-x^2+x-1) ogf] A331394 8.30593 [-(x+1)*(2*x^4-2*x^3+2*x^2-x+1)/(2*x^3-x^2+x-1) ogf] A331396 7.05056 [1/4*((4*x^2-12*x+1)^(1/2)+2*x-1)/x/(2*x-1)/(4*x^2-12*x+1)^(1/2) ogf] A331397 5.67828 [-1/4*(-16*x^3+60*x^2+((4*x^2-12*x+1)*(2*x-1)^2)^(1/2)-40*x+3)/(4*x^2-12*x+1)/(2*x-1) ogf] A331403 11.3566 [2*f(x)^2*x^3+3*f(x)^2*x^2-f(x)^2+1 egf] A331403 19.3368 [1/(-2*x+1)^(1/2)/(x+1) egf] A331403 4.15967 [{-2*a(n+1)*n^2-a(n+2)*n-9*a(n+1)*n+a(n+3)-2*a(n+2)-10*a(n+1),a(0)=1,a(1)=0,a(2)=3} ogf] A331408 19.7832 [4*x^4*(2*x+1)/(2*x^2-1)^4 ogf] A331408 24.0607 [4*x^4*(2*x+1)/(2*x^2-1)^4 ogf] A331408 4.04657 [{-a(n+4)*n-2*a(n+3)*n+2*a(n+2)*n+4*a(n+1)*n+4*a(n+3)+12*a(n+2)+16*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=4} ogf] A331413 11.3839 [(x^3+2*x^2+6*x-4)/(x^4+x^3+x^2+2*x-1) ogf] A331413 12.785 [(x^3+2*x^2+6*x-4)/(x^4+x^3+x^2+2*x-1) ogf] A331413 5.57735 [-(15653*f(x)-61425)*(f(x)*x^4+f(x)*x^3+f(x)*x^2-x^3+2*f(x)*x-2*x^2-f(x)-6*x+4) ogf] A331413 6.15574 [{a(n+4)-2*a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=4,a(1)=2,a(2)=6,a(3)=17} ogf] A331419 19.2388 [-8*x^6*(2*x+1)/(2*x^2-1)^5 ogf] A331419 23.3985 [-8*x^6*(2*x+1)/(2*x^2-1)^5 ogf] A331420 18.8996 [16*x^8*(2*x+1)/(2*x^2-1)^6 ogf] A331420 22.8785 [16*x^8*(2*x+1)/(2*x^2-1)^6 ogf] A331429 16.7047 [-x^2*(x^2-5*x+10)/(x+1)/(x-1)^5 ogf] A331429 19.1794 [-x^2*(x^2-5*x+10)/(x+1)/(x-1)^5 ogf] A331429 5.78598 [{-a(n+6)+4*a(n+5)-5*a(n+4)+5*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=10,a(3)=35,a(4)=91,a(5)=189} ogf] A331433 32.0853 [6/(x+1)^4 ogf] A331433 47.1842 [6/(x+1)^4 ogf] A331433 5.81255 [{a(n+4)+4*a(n+3)+6*a(n+2)+4*a(n+1)+a(n),a(0)=6,a(1)=-24,a(2)=60,a(3)=-120} ogf] A331433 6.85583 [(f(x)+6)*(f(x)*x^4+4*f(x)*x^3+6*f(x)*x^2+4*f(x)*x+f(x)-6) ogf] A331434 28.0002 [30/(x+1)^6 ogf] A331434 40.4447 [30/(x+1)^6 ogf] A331443 8.03271 [x^7*(x^5-x^4-x^3+2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A331443 8.69521 [x^7*(x^5-x^4-x^3+2)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A331444 7.7755 [x^6*(x^5-x^4-x^3+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A331444 8.39138 [x^6*(x^5-x^4-x^3+x+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A331473 2.9272 [{a(n+3)*n^2-3*a(n+2)*n^2-4*a(n+1)*n^2+8*a(n+3)*n-22*a(n+2)*n-30*a(n+1)*n+15*a(n+3)-41*a(n+2)-56*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A331473 8.05766 [-1/2*(2*I*x+(4*x-1)^(1/2)-I)/(4*x-1)^(1/2)/(x+1)/x^2 ogf] A331474 7.39749 [-(x^7-x^6+12*x^5-36*x^4+8*x^3-16*x^2-3*x-1)/(x^4+7*x^2+1)^2 ogf] A331474 8.04075 [-(x^7-x^6+12*x^5-36*x^4+8*x^3-16*x^2-3*x-1)/(x^4+7*x^2+1)^2 ogf] A331515 21.3117 [1/(4*x^2-8*x+1)^(3/2) ogf] A331515 3.97336 [{-a(n+3)*n+8*a(n+2)*n-4*a(n+1)*n-3*a(n+3)+28*a(n+2)-16*a(n+1),a(0)=1,a(1)=12,a(2)=114} ogf] A331516 16.8053 [1/((9*x-1)*(x-1))^(3/2) ogf] A331516 3.87089 [{-a(n+3)*n+10*a(n+2)*n-9*a(n+1)*n-3*a(n+3)+35*a(n+2)-36*a(n+1),a(0)=1,a(1)=15,a(2)=174} ogf] A331528 12.0835 [-x*(x^4+14*x^3+30*x^2+14*x+1)/(x-1)^7 ogf] A331528 13.6947 [-x*(x^4+14*x^3+30*x^2+14*x+1)/(x-1)^7 ogf] A331529 5.24401 [x^2*(x-1)*(x^2+x+1)*(x^2-x+1)*(x^4+2*x^3+x^2+1)*(x+1)^2/(x^7+3*x^6+3*x^5+x^4+x^3+x^2-1) ogf] A331529 5.51122 [x^2*(x-1)*(x^2+x+1)*(x^2-x+1)*(x^4+2*x^3+x^2+1)*(x+1)^2/(x^7+3*x^6+3*x^5+x^4+x^3+x^2-1) ogf] A331530 5.01895 [x^2*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^5+3*x^4+3*x^3+2*x^2+1)/(x^7+3*x^6+3*x^5+2*x^4+x^2-1) ogf] A331530 5.27469 [x^2*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^5+3*x^4+3*x^3+2*x^2+1)/(x^7+3*x^6+3*x^5+2*x^4+x^2-1) ogf] A331551 13.7339 [(3*x+1)/(9*x^2+2*x+1)^(3/2) ogf] A331551 2.64113 [{a(n+4)*n+5*a(n+3)*n+15*a(n+2)*n+27*a(n+1)*n+4*a(n+4)+15*a(n+3)+60*a(n+2)+81*a(n+1),a(0)=1,a(1)=0,a(2)=-15,a(3)=32} ogf] A331552 19.444 [1/(4*x^2+1)^(3/2)*(2*x+1) ogf] A331552 3.4511 [{a(n+4)*n+2*a(n+3)*n+4*a(n+2)*n+8*a(n+1)*n+4*a(n+4)+4*a(n+3)+20*a(n+2)+24*a(n+1),a(0)=1,a(1)=2,a(2)=-6,a(3)=-12} ogf] A331574 11.8649 [-x^6*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^5/(x-1)^7 ogf] A331574 13.2406 [-x^6*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^5/(x-1)^7 ogf] A331575 10.2016 [-x^8*(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x+1)^7/(x-1)^9 ogf] A331575 9.32408 [-x^8*(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x+1)^7/(x-1)^9 ogf] A331576 7.73311 [-x^10*(x^8+4*x^7+16*x^6+24*x^5+36*x^4+24*x^3+16*x^2+4*x+1)/(x+1)^9/(x-1)^11 ogf] A331576 8.30593 [-x^10*(x^8+4*x^7+16*x^6+24*x^5+36*x^4+24*x^3+16*x^2+4*x+1)/(x+1)^9/(x-1)^11 ogf] A331630 4.31374 [{a(n+2)-1000001*a(n+1)+1000000*a(n),a(0)=77,a(1)=76923077} ogf] A331630 6.87273 [-77*(1000*x-1)/(1000000*x-1)/(x-1) ogf] A331630 7.95081 [-77*(1000*x-1)/(1000000*x-1)/(x-1) ogf] A331658 9.89002 [-1/exp(1/2)/(x-1)*exp(-1/2/(2*x-1)) egf] A331688 10.9025 [-1/exp(-1)/(2*x-1)*exp(1/(x-1)) egf] A331689 10.969 [-1/exp(1)/(2*x-1)*exp(-1/(x-1)) egf] A331701 7.6557 [(1890*x^15+3151*x^14+122*x^8+37*x^7+47*x^6+18*x^4+7*x^3+2*x^2+7*x-8)/(2*x-1) ogf] A331701 8.25615 [(1890*x^15+3151*x^14+122*x^8+37*x^7+47*x^6+18*x^4+7*x^3+2*x^2+7*x-8)/(2*x-1) ogf] A331714 4.39703 [-(x^4-x^3-2*x^2+2*x+1)/(x+1)^2/(x-1)^5 ogf] A331714 4.93821 [-(x^4-x^3-2*x^2+2*x+1)/(x+1)^2/(x-1)^5 ogf] A331725 11.8068 [1/exp(1)/(x+1)*exp(-1/(x-1)) egf] A331786 8.39412 [2*x*(5*x^8-3*x^7+x^6+2*x^5+x^3+2*x^2+1)/(x-1)/(10*x^9-1) ogf] A331786 9.10852 [2*x*(5*x^8-3*x^7+x^6+2*x^5+x^3+2*x^2+1)/(x-1)/(10*x^9-1) ogf] A331788 10.0011 [-(6*x^8-2*x^7-4*x^6-2*x^4-4*x^3-2*x-1)/(x-1)/(10*x^9-1) ogf] A331788 9.14992 [-(6*x^8-2*x^7-4*x^6-2*x^4-4*x^3-2*x-1)/(x-1)/(10*x^9-1) ogf] A331792 2.54697 [{a(n+3)*n^2-8*a(n+2)*n^2+4*a(n+1)*n^2+8*a(n+3)*n-60*a(n+2)*n+28*a(n+1)*n+15*a(n+3)-112*a(n+2)+48*a(n+1),a(0)=1,a(1)=8,a(2)=57} ogf] A331792 5.69193 [-12*f(x)^2*x^4+24*f(x)^2*x^3-3*f(x)^2*x^2-4*f(x)*x^2+8*f(x)*x-f(x)+1 ogf] A331792 7.70085 [-1/6*(4*x-1+(4*x^2-8*x+1)^(1/2))/x^2/(4*x^2-8*x+1)^(1/2) ogf] A331793 6.08904 [-36*f(x)^2*x^4+40*f(x)^2*x^3-4*f(x)^2*x^2-9*f(x)*x^2+10*f(x)*x-f(x)+1 ogf] A331793 6.99336 [-1/8*((x-1)^(1/2)*(9*x-1)^(1/2)-5*x+1)/(x-1)^(1/2)/x^2/(9*x-1)^(1/2) ogf] A331800 7.03823 [-(x-1)*(6*x^7+2*x^6+4*x^5+11*x^4+8*x^3+7*x^2+4*x+1)/(2*x^6-4*x^4-2*x^2+1) ogf] A331800 7.5501 [-(x-1)*(6*x^7+2*x^6+4*x^5+11*x^4+8*x^3+7*x^2+4*x+1)/(2*x^6-4*x^4-2*x^2+1) ogf] A331801 10.6567 [-(x^10-x^9+x^7-x^6+2*x^4-2*x^3+3*x^2+4*x-8)/(x-1)^2 ogf] A331801 9.74975 [-(x^10-x^9+x^7-x^6+2*x^4-2*x^3+3*x^2+4*x-8)/(x-1)^2 ogf] A331809 6.55321 [-(x-1)*(x+1)*(10*x^7-6*x^6+12*x^5+3*x^4+7*x^3+4*x^2+2*x+1)/(2*x^6-4*x^4-2*x^2+1) ogf] A331809 6.97943 [-(x-1)*(x+1)*(10*x^7-6*x^6+12*x^5+3*x^4+7*x^3+4*x^2+2*x+1)/(2*x^6-4*x^4-2*x^2+1) ogf] A331811 5.54847 [-(x-1)*(50*x^11+24*x^10+26*x^9+67*x^8+36*x^7+29*x^6+14*x^5+7*x^4+5*x^3+4*x^2+3*x+1)/(2*x^6-4*x^4-2*x^2+1) ogf] A331811 5.84439 [-(x-1)*(50*x^11+24*x^10+26*x^9+67*x^8+36*x^7+29*x^6+14*x^5+7*x^4+5*x^3+4*x^2+3*x+1)/(2*x^6-4*x^4-2*x^2+1) ogf] A331817 10.3756 [3*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 egf] A331817 15.9431 [1/((3*x-1)*(x-1))^(1/2) egf] A331817 3.73523 [{3*a(n+1)*n^2-4*a(n+2)*n+12*a(n+1)*n+a(n+3)-10*a(n+2)+12*a(n+1),a(0)=1,a(1)=2,a(2)=9} ogf] A331890 11.7476 [-(x^2+2*x+3)/(2*x^3-x^2-x-1) ogf] A331890 13.5208 [-(x^2+2*x+3)/(2*x^3-x^2-x-1) ogf] A331890 6.17762 [(973*f(x)-2613)*(2*f(x)*x^3-f(x)*x^2-f(x)*x+x^2-f(x)+2*x+3) ogf] A331890 6.89043 [{a(n+3)+a(n+2)+a(n+1)-2*a(n),a(0)=3,a(1)=-1,a(2)=-1} ogf] A331943 11.5262 [-(x^3+3*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A331943 12.9448 [-(x^3+3*x^2+x+1)/(x^2+x+1)/(x-1)^3 ogf] A331943 5.06874 [{-a(n+5)+2*a(n+4)-a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=8,a(3)=15,a(4)=23} ogf] A331952 14.906 [-(2*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A331952 17.3396 [-(2*x^2+2*x-1)/(x+1)/(x-1)^3 ogf] A331952 7.3882 [-(f(x)-3)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x+2*x^2-f(x)+2*x-1) ogf] A331952 7.3882 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=-1,a(1)=0,a(2)=2,a(3)=6} ogf] A331987 22.224 [x*(3*x+5)/(x-1)^4 ogf] A331987 28.3547 [x*(3*x+5)/(x-1)^4 ogf] A331987 5.91574 [(10004480*f(x)+35635581)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-3*x^2+f(x)-5*x) ogf] A331987 6.09102 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=23,a(3)=62} ogf] A332000 5.75104 [x*(564*x^9+472*x^8+137*x^7+472*x^6+564*x^5-2632*x^4-1764*x^3-411*x^2-1068*x-752)/(x-1)/(x^10-6*x^5+1) ogf] A332000 6.07734 [x*(564*x^9+472*x^8+137*x^7+472*x^6+564*x^5-2632*x^4-1764*x^3-411*x^2-1068*x-752)/(x-1)/(x^10-6*x^5+1) ogf] A332019 12.0248 [-(x^5+x^4-2*x^3-4*x^2-7*x-1)/(x-1)^2 ogf] A332019 13.6018 [-(x^5+x^4-2*x^3-4*x^2-7*x-1)/(x-1)^2 ogf] A332019 6.19186 [{a(n+6)-2*a(n+5)+a(n+4),a(0)=1,a(1)=9,a(2)=21,a(3)=35,a(4)=48,a(5)=60} ogf] A332044 15.4422 [4*(x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A332044 17.9634 [4*(x^2-2*x-1)/(x+1)/(x-1)^3 ogf] A332044 7.39668 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=4,a(1)=16,a(2)=28,a(3)=48} ogf] A332044 7.7211 [(41*f(x)-624)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x-4*x^2-f(x)+8*x+4) ogf] A332052 4.90467 [{-a(n+5)+4*a(n+4)-6*a(n+3)+8*a(n+2)-10*a(n+1)+4*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=15} ogf] A332052 5.08859 [-f(x)*(4*f(x)*x^5-10*f(x)*x^4+8*f(x)*x^3+x^4-6*f(x)*x^2-4*x^3+4*f(x)*x+2*x^2-f(x)-2*x+1) ogf] A332052 8.39355 [-(x^4-4*x^3+2*x^2-2*x+1)/(2*x-1)/(2*x^4-4*x^3+2*x^2-2*x+1) ogf] A332052 9.14803 [-(x^4-4*x^3+2*x^2-2*x+1)/(2*x-1)/(2*x^4-4*x^3+2*x^2-2*x+1) ogf] A332056 3.84469 [{a(n+5)+a(n+4)+a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=-1,a(3)=1,a(4)=4} ogf] A332056 8.18869 [-(x+1)*(x^3+2*x+1)/(x-1)/(x^2+x+1)^2 ogf] A332056 9.1381 [-(x+1)*(x^3+2*x+1)/(x-1)/(x^2+x+1)^2 ogf] A332057 10.8343 [(x+1)*(x^3+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A332057 5.77235 [{-a(n+6)+2*a(n+3)-a(n),a(0)=1,a(1)=3,a(2)=2,a(3)=3,a(4)=7,a(5)=4} ogf] A332057 9.64695 [(x+1)*(x^3+2*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A332060 10.6387 [x*(5*x^4+6*x^3+4*x^2+x-1)/(x^2+3*x-1) ogf] A332060 12.0339 [x*(5*x^4+6*x^3+4*x^2+x-1)/(x^2+3*x-1) ogf] A332060 5.6467 [{-a(n+6)+3*a(n+5)+a(n+4),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=5,a(5)=13} ogf] A332071 5.48107 [(x^20-x^19+x^18-x^16+x^15-x^13+x^12-x^10+x^9-x^7+2*x^6-x^5-x^4+2*x^3-x+1)*(x^2+x+1)/(x-1)^2 ogf] A332071 5.74682 [(x^20-x^19+x^18-x^16+x^15-x^13+x^12-x^10+x^9-x^7+2*x^6-x^5-x^4+2*x^3-x+1)*(x^2+x+1)/(x-1)^2 ogf] A332112 12.2978 [(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332112 14.1197 [(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332112 5.3319 [-(72159140862171*f(x)+13976507977420)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-101*x+2) ogf] A332112 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=2,a(1)=121,a(2)=11211} ogf] A332113 10.0324 [-(100*x^2-202*x+3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332113 11.2127 [-(100*x^2-202*x+3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332113 4.98341 [-(72168035269671*f(x)+21973985627230)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+100*x^2-f(x)-202*x+3) ogf] A332113 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=3,a(1)=131,a(2)=11311} ogf] A332114 10.0324 [-(200*x^2-303*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332114 11.2127 [-(200*x^2-303*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332114 4.91911 [-(649527141439539*f(x)+269869374913360)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+200*x^2-f(x)-303*x+4) ogf] A332114 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=4,a(1)=141,a(2)=11411} ogf] A332115 10.0324 [-(300*x^2-404*x+5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332115 11.2127 [-(300*x^2-404*x+5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332115 4.98341 [-(36085129435773*f(x)+19000337647175)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+300*x^2-f(x)-404*x+5) ogf] A332115 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=5,a(1)=151,a(2)=11511} ogf] A332116 10.0324 [-(400*x^2-505*x+6)/(x-1)/(100*x-1)/(10*x-1) ogf] A332116 11.2127 [-(400*x^2-505*x+6)/(x-1)/(100*x-1)/(10*x-1) ogf] A332116 4.98341 [-(72170525703771*f(x)+46017369256660)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+400*x^2-f(x)-505*x+6) ogf] A332116 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=6,a(1)=161,a(2)=11611} ogf] A332117 10.0324 [-(500*x^2-606*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332117 11.2127 [-(500*x^2-606*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332117 4.91911 [-(649536035847039*f(x)+486313413638230)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+500*x^2-f(x)-606*x+7) ogf] A332117 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=7,a(1)=171,a(2)=11711} ogf] A332118 10.0324 [-(600*x^2-707*x+8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332118 11.2127 [-(600*x^2-707*x+8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332118 4.85645 [-(3536367144326379*f(x)+3040583073637720)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+600*x^2-f(x)-707*x+8) ogf] A332118 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=181,a(2)=11811} ogf] A332119 10.0324 [-(700*x^2-808*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332119 11.2127 [-(700*x^2-808*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332119 5.18682 [(9312363196389*f(x)+9041404210060)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+700*x^2-f(x)-808*x+9) ogf] A332119 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=191,a(2)=11911} ogf] A332120 10.5512 [2*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332120 11.8701 [2*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332120 5.27562 [(72159140862171*f(x)-4312731084400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-400*x^2-f(x)+202*x) ogf] A332120 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=202,a(2)=22022} ogf] A332121 10.5897 [(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332121 11.9135 [(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332121 5.0162 [-(72123563232171*f(x)+3593825955410)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-300*x^2-f(x)+101*x+1) ogf] A332121 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=212,a(2)=22122} ogf] A332123 10.5897 [(100*x^2+101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332123 11.9135 [(100*x^2+101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332123 4.98341 [-(72123563232171*f(x)+20011320515030)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-100*x^2-f(x)-101*x+3) ogf] A332123 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=3,a(1)=232,a(2)=22322} ogf] A332124 11.5525 [2*(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332124 13.1459 [2*(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332124 5.3319 [-(72159140862171*f(x)+27953015954840)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-202*x+4) ogf] A332124 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=4,a(1)=242,a(2)=22422} ogf] A332125 10.0324 [-(100*x^2-303*x+5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332125 11.2127 [-(100*x^2-303*x+5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332125 4.91911 [-(649491563809539*f(x)+323492803831850)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+100*x^2-f(x)-303*x+5) ogf] A332125 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=5,a(1)=252,a(2)=22522} ogf] A332126 10.0324 [-2*(100*x^2-202*x+3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332126 11.2127 [-2*(100*x^2-202*x+3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332126 4.98341 [-(72168035269671*f(x)+43947971254460)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+200*x^2-f(x)-404*x+6) ogf] A332126 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=6,a(1)=262,a(2)=22622} ogf] A332127 10.0324 [-(300*x^2-505*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332127 11.2127 [-(300*x^2-505*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332127 4.98341 [-(72169102598571*f(x)+51958010882270)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+300*x^2-f(x)-505*x+7) ogf] A332127 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=7,a(1)=272,a(2)=22722} ogf] A332128 10.0324 [-2*(200*x^2-303*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332128 11.2127 [-2*(200*x^2-303*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332128 4.91911 [-(649527141439539*f(x)+539738749826720)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+400*x^2-f(x)-606*x+8) ogf] A332128 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=282,a(2)=22822} ogf] A332129 10.0324 [-(500*x^2-707*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332129 11.2127 [-(500*x^2-707*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332129 4.98341 [-(48442898173923*f(x)+45634187963570)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+500*x^2-f(x)-707*x+9) ogf] A332129 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=292,a(2)=22922} ogf] A332130 10.5512 [3*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332130 11.8701 [3*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332130 5.27562 [(24053046954057*f(x)-2156365542200)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-600*x^2-f(x)+303*x) ogf] A332130 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=303,a(2)=33033} ogf] A332131 10.5897 [(500*x^2-202*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332131 11.9135 [(500*x^2-202*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332131 5.11719 [-(2672011735173*f(x)+54361751230)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-500*x^2-f(x)+202*x+1) ogf] A332131 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=313,a(2)=33133} ogf] A332132 10.5897 [(400*x^2-101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332132 11.9135 [(400*x^2-101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332132 5.08308 [-(2669046932673*f(x)+341259458260)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-400*x^2-f(x)+101*x+2) ogf] A332132 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=323,a(2)=33233} ogf] A332134 10.5897 [(200*x^2+101*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332134 11.9135 [(200*x^2+101*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332134 5.08308 [-(2669046932673*f(x)+966884012320)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-200*x^2-f(x)-101*x+4) ogf] A332134 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=4,a(1)=343,a(2)=33433} ogf] A332135 10.5897 [(100*x^2+202*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332135 11.9135 [(100*x^2+202*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332135 5.04942 [-(2672011735173*f(x)+1258174019350)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-100*x^2-f(x)-202*x+5) ogf] A332135 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=5,a(1)=353,a(2)=33533} ogf] A332136 11.5525 [3*(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332136 13.1459 [3*(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332136 5.3319 [-(24053046954057*f(x)+13976507977420)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-303*x+6) ogf] A332136 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=6,a(1)=363,a(2)=33633} ogf] A332137 10.0324 [-(100*x^2-404*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332137 11.2127 [-(100*x^2-404*x+7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332137 5.08308 [-(1336376467899*f(x)+924384990455)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+100*x^2-f(x)-404*x+7) ogf] A332137 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=7,a(1)=373,a(2)=33733} ogf] A332138 10.0324 [-(200*x^2-505*x+8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332138 11.2127 [-(200*x^2-505*x+8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332138 5.04942 [-(2672841879873*f(x)+2145045248440)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+200*x^2-f(x)-505*x+8) ogf] A332138 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=383,a(2)=33833} ogf] A332139 10.0324 [-3*(100*x^2-202*x+3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332139 11.2127 [-3*(100*x^2-202*x+3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332139 4.98341 [-(24056011756557*f(x)+21973985627230)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+300*x^2-f(x)-606*x+9) ogf] A332139 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=393,a(2)=33933} ogf] A332140 10.5512 [4*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332140 11.8701 [4*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332140 5.27562 [(72159140862171*f(x)-8625462168800)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-800*x^2-f(x)+404*x) ogf] A332140 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=404,a(2)=44044} ogf] A332141 10.5897 [(700*x^2-303*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332141 11.9135 [(700*x^2-303*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332141 4.98341 [-(649349253289539*f(x)-6109391920910)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-700*x^2-f(x)+303*x+1) ogf] A332141 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=414,a(2)=44144} ogf] A332142 10.0324 [2*(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332142 11.2127 [2*(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332142 5.0162 [-(72123563232171*f(x)+7187651910820)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-600*x^2-f(x)+202*x+2) ogf] A332142 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=424,a(2)=44244} ogf] A332143 10.5897 [(500*x^2-101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332143 11.9135 [(500*x^2-101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332143 4.98341 [-(71981252712171*f(x)+14686603510630)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-500*x^2-f(x)+101*x+3) ogf] A332143 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=434,a(2)=44344} ogf] A332145 10.5897 [(300*x^2+101*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332145 11.9135 [(300*x^2+101*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332145 5.04942 [-(2321975893941*f(x)+1040083297750)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-300*x^2-f(x)-101*x+5) ogf] A332145 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=5,a(1)=454,a(2)=44544} ogf] A332146 10.0324 [2*(100*x^2+101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332146 11.2127 [2*(100*x^2+101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332146 4.98341 [-(72123563232171*f(x)+40022641030060)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-200*x^2-f(x)-202*x+6) ogf] A332146 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=6,a(1)=464,a(2)=44644} ogf] A332147 10.5897 [(100*x^2+303*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332147 11.9135 [(100*x^2+303*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332147 4.91911 [-(649349253289539*f(x)+431470540388830)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-100*x^2-f(x)-303*x+7) ogf] A332147 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=7,a(1)=474,a(2)=44744} ogf] A332148 11.5525 [4*(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332148 13.1459 [4*(101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332148 5.3319 [-(72159140862171*f(x)+55906031909680)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-404*x+8) ogf] A332148 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=484,a(2)=44844} ogf] A332149 10.0324 [-(100*x^2-505*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332149 11.2127 [-(100*x^2-505*x+9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332149 4.98341 [-(72163410177771*f(x)+63891298965490)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+100*x^2-f(x)-505*x+9) ogf] A332149 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=494,a(2)=44944} ogf] A332150 10.5512 [5*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332150 11.8701 [5*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332150 5.20335 [(72159140862171*f(x)-10781827711000)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1000*x^2-f(x)+505*x) ogf] A332150 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=505,a(2)=55055} ogf] A332151 10.5897 [(900*x^2-404*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332151 11.9135 [(900*x^2-404*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332151 5.0162 [-(36076235028273*f(x)-1415179701845)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-900*x^2-f(x)+404*x+1) ogf] A332151 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=515,a(2)=55155} ogf] A332152 10.5897 [(800*x^2-303*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332152 11.9135 [(800*x^2-303*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332152 4.95105 [-(649242520399539*f(x)+45648187957580)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-800*x^2-f(x)+303*x+2) ogf] A332152 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=525,a(2)=55255} ogf] A332153 10.5897 [(700*x^2-202*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332153 11.9135 [(700*x^2-202*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332153 4.98341 [-(72096880009671*f(x)+12842530498430)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-700*x^2-f(x)+202*x+3) ogf] A332153 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=535,a(2)=55355} ogf] A332154 10.5897 [(600*x^2-101*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332154 11.9135 [(600*x^2-101*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332154 4.98341 [-(71874519822171*f(x)+19994051168240)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-600*x^2-f(x)+101*x+4) ogf] A332154 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=4,a(1)=545,a(2)=55455} ogf] A332156 10.5897 [(400*x^2+101*x-6)/(x-1)/(100*x-1)/(10*x-1) ogf] A332156 11.9135 [(400*x^2+101*x-6)/(x-1)/(100*x-1)/(10*x-1) ogf] A332156 5.11719 [(71874519822171*f(x)+38403893007860)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-400*x^2-f(x)-101*x+6) ogf] A332156 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=6,a(1)=565,a(2)=55655} ogf] A332157 10.5897 [(300*x^2+202*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332157 11.9135 [(300*x^2+202*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332157 4.98341 [-(72096880009671*f(x)+46104451177670)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-300*x^2-f(x)-202*x+7) ogf] A332157 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=7,a(1)=575,a(2)=55755} ogf] A332158 10.5897 [(200*x^2+303*x-8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332158 11.9135 [(200*x^2+303*x-8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332158 4.91911 [-(649242520399539*f(x)+485789709627320)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-200*x^2-f(x)-303*x+8) ogf] A332158 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=585,a(2)=55855} ogf] A332159 10.5897 [(100*x^2+404*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332159 11.9135 [(100*x^2+404*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332159 4.98341 [-(36076235028273*f(x)+30957300227395)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-100*x^2-f(x)-404*x+9) ogf] A332159 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=595,a(2)=55955} ogf] A332160 10.5512 [6*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332160 11.8701 [6*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332160 5.23924 [(24053046954057*f(x)-4312731084400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1200*x^2-f(x)+606*x) ogf] A332160 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=606,a(2)=66066} ogf] A332161 10.4447 [(1100*x^2-505*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332161 11.7302 [(1100*x^2-505*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332161 5.04942 [-(2672367511473*f(x)-184586962570)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1100*x^2-f(x)+505*x+1) ogf] A332161 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=616,a(2)=66166} ogf] A332162 10.0324 [2*(500*x^2-202*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332162 11.2127 [2*(500*x^2-202*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332162 5.04942 [-(2672011735173*f(x)+108723502460)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1000*x^2-f(x)+404*x+2) ogf] A332162 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=626,a(2)=66266} ogf] A332163 10.0324 [3*(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332163 11.2127 [3*(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332163 5.0162 [-(24041187744057*f(x)+3593825955410)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-900*x^2-f(x)+303*x+3) ogf] A332163 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=636,a(2)=66366} ogf] A332164 10.0324 [2*(400*x^2-101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332164 11.2127 [2*(400*x^2-101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332164 5.08308 [-(2669046932673*f(x)+682518916520)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-800*x^2-f(x)+202*x+4) ogf] A332164 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=4,a(1)=646,a(2)=66466} ogf] A332165 10.5897 [(700*x^2-101*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332165 11.9135 [(700*x^2-101*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332165 5.08308 [-(2657187722673*f(x)+930325153550)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-700*x^2-f(x)+101*x+5) ogf] A332165 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=5,a(1)=656,a(2)=66566} ogf] A332167 10.5897 [(500*x^2+101*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332167 11.9135 [(500*x^2+101*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332167 5.18682 [(2657187722673*f(x)+1650823387610)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-500*x^2-f(x)-101*x+7) ogf] A332167 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=7,a(1)=676,a(2)=66766} ogf] A332168 10.0324 [2*(200*x^2+101*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332168 11.2127 [2*(200*x^2+101*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332168 5.04942 [-(2669046932673*f(x)+1933768024640)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-400*x^2-f(x)-202*x+8) ogf] A332168 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=686,a(2)=66866} ogf] A332169 10.0324 [3*(100*x^2+101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332169 11.2127 [3*(100*x^2+101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332169 4.98341 [-(24041187744057*f(x)+20011320515030)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-300*x^2-f(x)-303*x+9) ogf] A332169 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=696,a(2)=66966} ogf] A332170 10.5512 [7*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332170 11.8701 [7*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332170 5.20335 [(72159140862171*f(x)-15094558795400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1400*x^2-f(x)+707*x) ogf] A332170 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=707,a(2)=77077} ogf] A332171 10.4447 [(1300*x^2-606*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332171 11.7302 [(1300*x^2-606*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332171 4.98341 [-(20948184687969*f(x)-2072410750010)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1300*x^2-f(x)+606*x+1) ogf] A332171 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=717,a(2)=77177} ogf] A332172 10.4447 [(1200*x^2-505*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332172 11.7302 [(1200*x^2-505*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332172 5.0162 [-(72147756020571*f(x)+790940388220)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1200*x^2-f(x)+505*x+2) ogf] A332172 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=727,a(2)=77277} ogf] A332173 10.4447 [(1100*x^2-404*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332173 11.7302 [(1100*x^2-404*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332173 4.98341 [-(36067340620773*f(x)+4335560833265)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1100*x^2-f(x)+404*x+3) ogf] A332173 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=737,a(2)=77377} ogf] A332174 10.4447 [(1000*x^2-303*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332174 11.7302 [(1000*x^2-303*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332174 4.88758 [-(648957899359539*f(x)+148028377394560)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1000*x^2-f(x)+303*x+4) ogf] A332174 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=4,a(1)=747,a(2)=77477} ogf] A332175 10.5897 [(900*x^2-202*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332175 11.9135 [(900*x^2-202*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332175 4.98341 [-(72025724749671*f(x)+23939700353650)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-900*x^2-f(x)+202*x+5) ogf] A332175 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=5,a(1)=757,a(2)=77577} ogf] A332176 10.5897 [(800*x^2-101*x-6)/(x-1)/(100*x-1)/(10*x-1) ogf] A332176 11.9135 [(800*x^2-101*x-6)/(x-1)/(100*x-1)/(10*x-1) ogf] A332176 4.98341 [-(71589898782171*f(x)+30043218243460)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-800*x^2-f(x)+101*x+6) ogf] A332176 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=6,a(1)=767,a(2)=77677} ogf] A332178 10.5897 [(600*x^2+101*x-8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332178 11.9135 [(600*x^2+101*x-8)/(x-1)/(100*x-1)/(10*x-1) ogf] A332178 5.11719 [(71589898782171*f(x)+50730028403080)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-600*x^2-f(x)-101*x+8) ogf] A332178 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=8,a(1)=787,a(2)=77877} ogf] A332179 10.5897 [(500*x^2+202*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332179 11.9135 [(500*x^2+202*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332179 4.98341 [-(72025724749671*f(x)+58340105192890)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-500*x^2-f(x)-202*x+9) ogf] A332179 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=797,a(2)=77977} ogf] A332180 10.5512 [8*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332180 11.8701 [8*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332180 5.20335 [(72159140862171*f(x)-17250924337600)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1600*x^2-f(x)+808*x) ogf] A332180 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=808,a(2)=88088} ogf] A332181 10.4447 [(1500*x^2-707*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332181 11.7302 [(1500*x^2-707*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332181 4.85645 [-(3535620014096379*f(x)-455372143511710)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1500*x^2-f(x)+707*x+1) ogf] A332181 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=818,a(2)=88188} ogf] A332182 10.0324 [2*(700*x^2-303*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332182 11.2127 [2*(700*x^2-303*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332182 4.91911 [-(649349253289539*f(x)-12218783841820)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1400*x^2-f(x)+606*x+2) ogf] A332182 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=828,a(2)=88288} ogf] A332183 10.4447 [(1300*x^2-505*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332183 11.7302 [(1300*x^2-505*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332183 4.98341 [-(72140640494571*f(x)+6541834653830)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1300*x^2-f(x)+505*x+3) ogf] A332183 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=838,a(2)=88388} ogf] A332184 10.0324 [4*(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332184 11.2127 [4*(300*x^2-101*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332184 4.95105 [-(72123563232171*f(x)+14375303821640)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1200*x^2-f(x)+404*x+4) ogf] A332184 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=4,a(1)=848,a(2)=88488} ogf] A332185 10.4447 [(1100*x^2-303*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332185 11.7302 [(1100*x^2-303*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332185 4.88758 [-(648780011209539*f(x)+198615848553050)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1100*x^2-f(x)+303*x+5) ogf] A332185 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=5,a(1)=858,a(2)=88588} ogf] A332186 10.0324 [2*(500*x^2-101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332186 11.2127 [2*(500*x^2-101*x-3)/(x-1)/(100*x-1)/(10*x-1) ogf] A332186 4.95105 [-(71981252712171*f(x)+29373207021260)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1000*x^2-f(x)+202*x+6) ogf] A332186 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=6,a(1)=868,a(2)=88688} ogf] A332187 10.5897 [(900*x^2-101*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332187 11.9135 [(900*x^2-101*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332187 4.98341 [-(71412010632171*f(x)+34749799261070)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-900*x^2-f(x)+101*x+7) ogf] A332187 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=7,a(1)=878,a(2)=88788} ogf] A332189 10.5897 [(700*x^2+101*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332189 11.9135 [(700*x^2+101*x-9)/(x-1)/(100*x-1)/(10*x-1) ogf] A332189 5.11719 [(71412010632171*f(x)+56859714620690)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-700*x^2-f(x)-101*x+9) ogf] A332189 6.46154 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=9,a(1)=898,a(2)=88988} ogf] A332190 10.5512 [9*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332190 11.8701 [9*x*(200*x-101)/(x-1)/(100*x-1)/(10*x-1) ogf] A332190 5.27562 [(8017682318019*f(x)-2156365542200)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1800*x^2-f(x)+909*x) ogf] A332190 6.49307 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=0,a(1)=909,a(2)=99099} ogf] A332191 10.4447 [(1700*x^2-808*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332191 11.7302 [(1700*x^2-808*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332191 5.11719 [-(131972548257*f(x)-20939472580)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1700*x^2-f(x)+808*x+1) ogf] A332191 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=1,a(1)=919,a(2)=99199} ogf] A332192 10.4447 [(1600*x^2-707*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332192 11.7302 [(1600*x^2-707*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332192 5.08308 [-(1616560771617*f(x)-78607944860)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1600*x^2-f(x)+707*x+2) ogf] A332192 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=2,a(1)=929,a(2)=99299} ogf] A332193 10.0324 [3*(500*x^2-202*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332193 11.2127 [3*(500*x^2-202*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A332193 5.11719 [-(890670578391*f(x)+54361751230)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1500*x^2-f(x)+606*x+3) ogf] A332193 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=3,a(1)=939,a(2)=99399} ogf] A332194 10.4447 [(1400*x^2-505*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332194 11.7302 [(1400*x^2-505*x-4)/(x-1)/(100*x-1)/(10*x-1) ogf] A332194 5.40753 [-(50201569*f(x)+8538160)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1400*x^2-f(x)+505*x+4) ogf] A332194 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=4,a(1)=949,a(2)=99499} ogf] A332195 10.4447 [(1300*x^2-404*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332195 11.7302 [(1300*x^2-404*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A332195 5.40753 [-(13370863*f(x)+3717125)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1300*x^2-f(x)+404*x+5) ogf] A332195 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=5,a(1)=959,a(2)=99599} ogf] A332196 4.38704 [-(889682310891*f(x)+341259458260)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1200*x^2-f(x)+303*x+6) ogf] A332196 5.57675 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=6,a(1)=969,a(2)=99699} ogf] A332196 8.65863 [3*(400*x^2-101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332196 9.6773 [3*(400*x^2-101*x-2)/(x-1)/(100*x-1)/(10*x-1) ogf] A332197 10.4447 [(1100*x^2-202*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332197 11.7302 [(1100*x^2-202*x-7)/(x-1)/(100*x-1)/(10*x-1) ogf] A332197 5.15177 [-(32890192533*f(x)+15877521010)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-1100*x^2-f(x)+202*x+7) ogf] A332197 6.46154 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=7,a(1)=979,a(2)=99799} ogf] A332243 16.1418 [-(13*x^2+94*x+13)/(x-1)^3 ogf] A332243 19.3701 [-(13*x^2+94*x+13)/(x-1)^3 ogf] A332243 6.45672 [(587*f(x)-35738)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+13*x^2-f(x)+94*x+13) ogf] A332243 7.10831 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=13,a(1)=133,a(2)=373} ogf] A332245 3.53128 [-(x^30+2*x^29-x^28-x^27+x^26-2*x^25+x^16+2*x^15-x^14-x^13+2*x^12-x^10-x^9+x^8-2*x^7+3*x^5-x^4-2*x^3-x^2-3*x-5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332245 3.65464 [-(x^30+2*x^29-x^28-x^27+x^26-2*x^25+x^16+2*x^15-x^14-x^13+2*x^12-x^10-x^9+x^8-2*x^7+3*x^5-x^4-2*x^3-x^2-3*x-5)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332348 4.13808 [{-a(n+6)+a(n+5)+2*a(n+4)+a(n+3)-2*a(n+2)+2*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=6,a(3)=8,a(4)=22,a(5)=40} ogf] A332348 7.44094 [-(2*x^5-2*x^4+3*x^3-2*x^2-x-1)/(2*x^6-2*x^5+2*x^4-x^3-2*x^2-x+1) ogf] A332348 8.03033 [-(2*x^5-2*x^4+3*x^3-2*x^2-x-1)/(2*x^6-2*x^5+2*x^4-x^3-2*x^2-x+1) ogf] A332349 6.58472 [-(6*x^6+3*x^5-4*x^4+5*x^3-5*x^2-2*x-1)/(x-1)/(6*x^6+9*x^5+3*x^4+7*x^3+4*x^2-1) ogf] A332349 7.03496 [-(6*x^6+3*x^5-4*x^4+5*x^3-5*x^2-2*x-1)/(x-1)/(6*x^6+9*x^5+3*x^4+7*x^3+4*x^2-1) ogf] A332392 5.76185 [-(64*x^8+48*x^7+8*x^6-4*x^3-5*x^2-x-1)/(64*x^9+48*x^8+8*x^7-16*x^6-8*x^5-4*x^4-5*x^3-x^2+1) ogf] A332392 6.10584 [-(64*x^8+48*x^7+8*x^6-4*x^3-5*x^2-x-1)/(64*x^9+48*x^8+8*x^7-16*x^6-8*x^5-4*x^4-5*x^3-x^2+1) ogf] A332410 6.36956 [-x*(x+1)*(x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A332410 6.91748 [-x*(x+1)*(x^3+x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A332420 2.29905 [-(x^7+4*x^6+4*x^4+4*x^2+x+3)/(x-1)/(x^2+1)/(x^4+1) ogf] A332420 2.49682 [-(x^7+4*x^6+4*x^4+4*x^2+x+3)/(x-1)/(x^2+1)/(x^4+1) ogf] A332426 7.98854 [x*(32*x^4-72*x^3+66*x^2-24*x+3)/(4*x-1)^3/(2*x-1)^3 ogf] A332426 8.91475 [x*(32*x^4-72*x^3+66*x^2-24*x+3)/(4*x-1)^3/(2*x-1)^3 ogf] A332480 4.3394 [(5*x^10+x^9+6*x^8+6*x^7+6*x^6+x^5+5*x^4+x^3+6*x^2+6*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332480 4.5291 [(5*x^10+x^9+6*x^8+6*x^7+6*x^6+x^5+5*x^4+x^3+6*x^2+6*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332481 4.16195 [(4*x^11+6*x^10+x^9+5*x^8+x^7+6*x^6+6*x^5+6*x^4+x^3+5*x^2+x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332481 4.33537 [(4*x^11+6*x^10+x^9+5*x^8+x^7+6*x^6+6*x^5+6*x^4+x^3+5*x^2+x+2)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332482 4.12391 [(x^11+6*x^10+6*x^9+x^8+5*x^7+x^6+6*x^5+6*x^4+x^3+5*x^2+x+5)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332482 4.29574 [(x^11+6*x^10+6*x^9+x^8+5*x^7+x^6+6*x^5+6*x^4+x^3+5*x^2+x+5)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332483 4.16434 [(2*x^11+x^10+5*x^9+x^8+6*x^7+6*x^6+x^5+5*x^4+x^3+6*x^2+6*x+4)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332483 4.33786 [(2*x^11+x^10+5*x^9+x^8+6*x^7+6*x^6+x^5+5*x^4+x^3+6*x^2+6*x+4)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A332491 18.2585 [(5*x-3)/(x^3+2*x-1) ogf] A332491 22.6848 [(5*x-3)/(x^3+2*x-1) ogf] A332491 8.13695 [-(89*f(x)-237)*(f(x)*x^3+2*f(x)*x-f(x)-5*x+3) ogf] A332491 8.70464 [{a(n+3)-2*a(n+2)-a(n),a(0)=3,a(1)=1,a(2)=2} ogf] A332495 10.242 [-x*(2*x^2+x+2)/(x^2+1)/(x-1)^3 ogf] A332495 11.6795 [-x*(2*x^2+x+2)/(x^2+1)/(x-1)^3 ogf] A332495 4.03474 [{-a(n+5)+3*a(n+4)-4*a(n+3)+4*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=7,a(3)=15,a(4)=25} ogf] A332519 21.5474 [8*x*(x-2)/(x-1)^3 ogf] A332519 26.771 [8*x*(x-2)/(x-1)^3 ogf] A332519 8.10498 [(5*f(x)+32)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-8*x^2-f(x)+16*x) ogf] A332519 8.41374 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=16,a(2)=40} ogf] A332562 12.2258 [(43*x-44)/(100*x-1)/(x-1)^2 ogf] A332562 14.6114 [(43*x-44)/(100*x-1)/(x-1)^2 ogf] A332562 4.21877 [(1763924804030201*f(x)-17267571551591400)*(100*f(x)*x^3-201*f(x)*x^2+102*f(x)*x-f(x)-43*x+44) ogf] A332562 5.03417 [{a(n+3)-102*a(n+2)+201*a(n+1)-100*a(n),a(0)=44,a(1)=4445,a(2)=444546} ogf] A332609 6.06361 [(x^18-x^17+2*x^9-2*x^8-x^7+x^6-x^5-x^2-4)/(x-1) ogf] A332609 6.62118 [(x^18-x^17+2*x^9-2*x^8-x^7+x^6-x^5-x^2-4)/(x-1) ogf] A332647 19.9557 [(4*x-3)/(x^3+2*x-1) ogf] A332647 24.7934 [(4*x-3)/(x^3+2*x-1) ogf] A332647 8.89329 [-(59*f(x)-129)*(f(x)*x^3+2*f(x)*x-f(x)-4*x+3) ogf] A332647 9.51375 [{a(n+3)-2*a(n+2)-a(n),a(0)=3,a(1)=2,a(2)=4} ogf] A332697 17.014 [-x*(x^2-x+4)/(x-1)^5 ogf] A332697 20.3338 [-x*(x^2-x+4)/(x-1)^5 ogf] A332697 4.93306 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=19,a(3)=56,a(4)=130} ogf] A332698 18.2731 [x*(x^2+x+6)/(x-1)^4 ogf] A332698 22.224 [x*(x^2+x+6)/(x-1)^4 ogf] A332698 5.67095 [(3184640*f(x)+7161199)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x-x^2+f(x)-6*x) ogf] A332698 6.09102 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=6,a(2)=25,a(3)=65} ogf] A332705 11.7773 [-6*(16*x-1)/(20*x-1)/(8*x-1) ogf] A332705 13.9684 [-6*(16*x-1)/(20*x-1)/(8*x-1) ogf] A332705 6.25668 [-(31*f(x)+300)*(160*f(x)*x^2-28*f(x)*x+f(x)+96*x-6) ogf] A332705 7.70053 [{a(n+2)-28*a(n+1)+160*a(n),a(0)=6,a(1)=72} ogf] A332724 15.0102 [x^2*(x^2+4*x+1)/(x^2+x-1)^2 ogf] A332724 17.6787 [x^2*(x^2+4*x+1)/(x^2+x-1)^2 ogf] A332724 5.19962 [{a(n+5)-2*a(n+4)-a(n+3)+2*a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=6,a(4)=14} ogf] A332724 5.56323 [(1463*f(x)-2224)*(f(x)*x^4+2*f(x)*x^3-x^4-f(x)*x^2-4*x^3-2*f(x)*x-x^2+f(x)) ogf] A332735 6.60795 [(x^11-x^10+3*x^9-3*x^8+4*x^7+4*x^5+3*x^4+6*x^3+3*x^2+4*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A332735 7.0242 [(x^11-x^10+3*x^9-3*x^8+4*x^7+4*x^5+3*x^4+6*x^3+3*x^2+4*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A332750 4.5476 [{-a(n+6)+4*a(n+5)-a(n+4)-a(n+2)-a(n),a(0)=11,a(1)=65,a(2)=265,a(3)=1005,a(4)=3749,a(5)=13927} ogf] A332750 6.80162 [(x+1)*(x^4+4*x^3+6*x^2+10*x+11)/(x-1)/(x^5+x^4+2*x^3+2*x^2+3*x-1) ogf] A332750 7.31016 [(x+1)*(x^4+4*x^3+6*x^2+10*x+11)/(x-1)/(x^5+x^4+2*x^3+2*x^2+3*x-1) ogf] A332751 4.83895 [{-a(n+6)+4*a(n+5)-a(n+4)-a(n+2)-a(n),a(0)=6,a(1)=28,a(2)=108,a(3)=400,a(4)=1486,a(5)=5516} ogf] A332751 8.43074 [-2*(2*x^3-x^2-2*x-3)/(x-1)/(x^5+x^4+2*x^3+2*x^2+3*x-1) ogf] A332751 9.18856 [-2*(2*x^3-x^2-2*x-3)/(x-1)/(x^5+x^4+2*x^3+2*x^2+3*x-1) ogf] A332754 5.59441 [2*f(x)^2*x^4+3*f(x)^2*x^3+4*f(x)*x^3-f(x)^2*x+4*f(x)*x^2-f(x)*x+2*x^2-f(x)+x ogf] A332754 6.32214 [-1/2*(2*(2*x-1)^(1/2)*x-I*(2*x+1)^(1/2)+(2*x-1)^(1/2))/x/(2*x-1)^(1/2)/(x+1) ogf] A332756 11.6412 [{a(n+3)-a(n),a(0)=19,a(1)=37,a(2)=46} ogf] A332756 12.1548 [-(46*x^2+37*x+19)/(x-1)/(x^2+x+1) ogf] A332756 13.7755 [-(46*x^2+37*x+19)/(x-1)/(x^2+x+1) ogf] A332756 9.08273 [-(14587*f(x)+313795)*(f(x)*x^3+46*x^2-f(x)+37*x+19) ogf] A332828 7.20561 [-x*(x^6-x^5-x-1)/(x^8-x^6+x^4-x^2+1) ogf] A332828 7.95424 [-x*(x^6-x^5-x-1)/(x^8-x^6+x^4-x^2+1) ogf] A332863 11.1506 [x^2*(x^4-3*x^3-4*x^2+7*x-4)/(x^3-x^2+2*x-1)^3 ogf] A332863 9.99212 [x^2*(x^4-3*x^3-4*x^2+7*x-4)/(x^3-x^2+2*x-1)^3 ogf] A332872 2.19026 [(x^2-3*x+1)/(2*x^2-4*x+1) ogf] A332884 18.4698 [(x^2+20*x-19)/(x-1)^3 ogf] A332884 22.6914 [(x^2+20*x-19)/(x-1)^3 ogf] A332884 6.40484 [-(229*f(x)-162091)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)-20*x+19) ogf] A332884 7.42243 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=19,a(1)=37,a(2)=53} ogf] A332918 5.1895 [-(x^13-3*x^12+4*x^11-3*x^10+x^8-2*x^7+3*x^6-13*x^5+5*x^4-4*x^3-5*x^2+8*x-8)/(x+1)/(x^2+1)/(x-1)^4 ogf] A332918 5.46628 [-(x^13-3*x^12+4*x^11-3*x^10+x^8-2*x^7+3*x^6-13*x^5+5*x^4-4*x^3-5*x^2+8*x-8)/(x+1)/(x^2+1)/(x-1)^4 ogf] A332919 19.5805 [-285*(x-1)/(10*x-1)^2 ogf] A332919 24.4756 [-285*(x-1)/(10*x-1)^2 ogf] A332919 7.75466 [(2820*f(x)+1672399)*(100*f(x)*x^2-20*f(x)*x+f(x)+285*x-285) ogf] A332919 9.55147 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=285,a(1)=5415} ogf] A332936 10.592 [{a(n+2)-8*a(n+1)+3*a(n),a(0)=7,a(1)=51} ogf] A332936 17.6533 [-(5*x-7)/(3*x^2-8*x+1) ogf] A332936 21.4702 [-(5*x-7)/(3*x^2-8*x+1) ogf] A332936 8.63476 [-(122*f(x)+13)*(3*f(x)*x^2-8*f(x)*x+f(x)+5*x-7) ogf] A333090 3.35898 [4*f(x)^3*x^4+44*f(x)^3*x^3+44*f(x)^3*x-8*f(x)^2*x^2+f(x)*x^3-4*f(x)^3-88*f(x)^2*x+15*f(x)*x^2+8*f(x)^2+61*f(x)*x-x^2-5*f(x)-14*x+1 ogf] A333093 4.11881 [27*f(x)^3*x^3-31*f(x)^3*x^2+31*f(x)^3*x+27*f(x)^2*x^2-4*f(x)^3-58*f(x)^2*x+8*f(x)^2+37*f(x)*x-5*f(x)-8*x+1 ogf] A333251 6.46883 [-(x^5-x^3+x^2+x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A333251 6.91114 [-(x^5-x^3+x^2+x-1)/(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A333298 15.9985 [-(3*x+1)^2/(18*x^2+12*x-1) ogf] A333298 19.2802 [-(3*x+1)^2/(18*x^2+12*x-1) ogf] A333298 7.59524 [{-a(n+3)+12*a(n+2)+18*a(n+1),a(0)=1,a(1)=18,a(2)=243} ogf] A333298 7.83259 [(7+89*f(x))*(18*f(x)*x^2+12*f(x)*x+9*x^2-f(x)+6*x+1) ogf] A333299 2.862 [-(x+1)^4/(2*x^4+8*x^3+12*x^2+8*x-1) ogf] A333299 3.286 [-(x+1)^4/(2*x^4+8*x^3+12*x^2+8*x-1) ogf] A333319 13.7079 [-x^5*(x^2+x+2)/(x+1)^4/(x-1)^5 ogf] A333319 15.777 [-x^5*(x^2+x+2)/(x+1)^4/(x-1)^5 ogf] A333320 14.7251 [x^7*(x^2+x+3)/(x+1)^5/(x-1)^6 ogf] A333320 17.1292 [x^7*(x^2+x+3)/(x+1)^5/(x-1)^6 ogf] A333321 17.5389 [x^8*(x+4)/(x+1)^5/(x-1)^6 ogf] A333321 20.9611 [x^8*(x+4)/(x+1)^5/(x-1)^6 ogf] A333344 13.57 [-(x-1)/(9*x^2-11*x+1) ogf] A333344 16.4269 [-(x-1)/(9*x^2-11*x+1) ogf] A333344 6.85957 [-(23*f(x)+2)*(9*f(x)*x^2-11*f(x)*x+f(x)+x-1) ogf] A333344 8.21344 [{a(n+2)-11*a(n+1)+9*a(n),a(0)=1,a(1)=10} ogf] A333354 2.09039 [-x*(x^11+x^10-x^8+2*x^7+7*x^6+9*x^5+9*x^4+12*x^3+10*x^2+7*x+2)/(x^2-x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A333375 11.9275 [(11*x^6-16*x^5+x^4-2*x^3-2*x+1)/(x^2-3*x+1) ogf] A333378 13.0474 [x*(x^2-x+1)/(x^4+3*x^2+1) ogf] A333378 15.1776 [x*(x^2-x+1)/(x^4+3*x^2+1) ogf] A333378 7.66704 [(2*f(x)+1)*(f(x)*x^4+3*f(x)*x^2-x^3+x^2+f(x)-x) ogf] A333378 7.66704 [{-a(n+4)-3*a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=-1,a(3)=-2} ogf] A333385 12.6383 [-(23*x-3)/(17*x-1)/(3*x-1) ogf] A333385 14.9896 [-(23*x-3)/(17*x-1)/(3*x-1) ogf] A333385 6.78477 [-(434*f(x)+67)*(51*f(x)*x^2-20*f(x)*x+f(x)+23*x-3) ogf] A333385 8.37082 [{a(n+2)-20*a(n+1)+51*a(n),a(0)=3,a(1)=37} ogf] A333405 5.17804 [x^4*(2*x^11+5*x^9+10*x^8+21*x^6+2*x^5+5*x^4+14*x^3+7*x^2+x+5)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A333405 5.45606 [x^4*(2*x^11+5*x^9+10*x^8+21*x^6+2*x^5+5*x^4+14*x^3+7*x^2+x+5)/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^3/(x-1)^4 ogf] A333448 8.28449 [(2*x^6+2*x^5+8*x^4+x^3+5*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A333448 8.99714 [(2*x^6+2*x^5+8*x^4+x^3+5*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A333510 12.6079 [-(2*x^4+2*x^3-5*x^2+2*x+1)/(2*x-1)/(x-1)^4 ogf] A333510 14.1597 [-(2*x^4+2*x^3-5*x^2+2*x+1)/(2*x-1)/(x-1)^4 ogf] A333510 5.414 [{a(n+5)-6*a(n+4)+14*a(n+3)-16*a(n+2)+9*a(n+1)-2*a(n),a(0)=1,a(1)=8,a(2)=29,a(3)=80,a(4)=195} ogf] A333514 4.51404 [{a(n+5)-7*a(n+4)+12*a(n+3)-7*a(n+2)+3*a(n+1)+2*a(n),a(0)=1,a(1)=3,a(2)=11,a(3)=49,a(4)=229} ogf] A333514 8.87062 [(x-1)*(x^2+3*x-1)/(2*x^5+3*x^4-7*x^3+12*x^2-7*x+1) ogf] A333514 9.78043 [(x-1)*(x^2+3*x-1)/(2*x^5+3*x^4-7*x^3+12*x^2-7*x+1) ogf] A333525 7.24449 [-x^3*(x^21+x^5+1)/(x-1) ogf] A333525 8.5044 [-x^3*(x^21+x^5+1)/(x-1) ogf] A333561 3.30328 [-108*f(x)^3*x^3-212*f(x)^3*x^2-100*f(x)^3*x+216*f(x)^2*x^2+4*f(x)^3+208*f(x)^2*x-48*f(x)*x^2-8*f(x)^2-155*f(x)*x-8*x^2+5*f(x)+40*x-1 ogf] A333564 7.58421 [16*f(x)^2*x^3+14*f(x)^2*x^2-2*f(x)^2*x+8*f(x)*x-f(x)+2 ogf] A333564 7.91041 [-1/4*(-4*I*x+(8*x-1)^(1/2)-I)/(x+1)/x/(8*x-1)^(1/2) ogf] A333565 10.9098 [-(16*x^2-4*x+7)/(4*x+1)/(8*x-1)/(x+1) lgdogf] A333565 3.37464 [{-a(n+4)*n+3*a(n+3)*n+36*a(n+2)*n+32*a(n+1)*n-4*a(n+4)+16*a(n+3)+68*a(n+2)+48*a(n+1),a(0)=1,a(1)=7,a(2)=33,a(3)=223} ogf] A333565 8.38332 [8*f(x)^2*x^3+15*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+16*x^2+8*x+1 ogf] A333574 16.2562 [-(x^4+1)/(x+1)/(x-1)^3 ogf] A333574 19.1461 [-(x^4+1)/(x+1)/(x-1)^3 ogf] A333574 6.28888 [{-a(n+5)+2*a(n+4)-2*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=6,a(4)=10} ogf] A333574 7.76195 [-(f(x)+1)*(f(x)*x^4-2*f(x)*x^3+x^4+2*f(x)*x-f(x)+1) ogf] A333575 10.8997 [(2*x^7+2*x^6-6*x^5+2*x^4+2*x^3-1)/(2*x-1)/(2*x^2-1)^2 ogf] A333575 9.87381 [(2*x^7+2*x^6-6*x^5+2*x^4+2*x^3-1)/(2*x-1)/(2*x^2-1)^2 ogf] A333599 10.3301 [-x*(x^3-3*x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A333599 5.13338 [{-a(n+5)-a(n+4)+3*a(n+3)+3*a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=1,a(4)=7} ogf] A333599 9.40159 [-x*(x^3-3*x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A333616 11.0146 [-x*(2*x^5-x^4-4*x^3+x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A333616 4.30522 [{a(n+7)-a(n+6)-2*a(n+5)+2*a(n+4)+a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=3,a(3)=6,a(4)=6,a(5)=10,a(6)=10} ogf] A333616 9.97797 [-x*(2*x^5-x^4-4*x^3+x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A333637 16.9143 [x^3*(x^2+1)*(2*x^2-x-2)/(x-1)^3 ogf] A333637 19.4674 [x^3*(x^2+1)*(2*x^2-x-2)/(x-1)^3 ogf] A333641 5.28525 [-x*(x^6+195*x^5+29045*x^4+394670*x^3+29045*x^2+195*x+1)/(x-1)/(x^6-1331714*x^3+1) ogf] A333641 5.6376 [-x*(x^6+195*x^5+29045*x^4+394670*x^3+29045*x^2+195*x+1)/(x-1)/(x^6-1331714*x^3+1) ogf] A333657 8.0451 [x^2*(20*x^8-20*x^7+7*x^6-7*x^5+12*x^4+23*x^3-7*x^2-22*x-8)/(x-1) ogf] A333657 8.76022 [x^2*(20*x^8-20*x^7+7*x^6-7*x^5+12*x^4+23*x^3-7*x^2-22*x-8)/(x-1) ogf] A333686 3.9813 [{a(n+6)-10*a(n+5)-10*a(n+4)+10*a(n+2)+10*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=101,a(3)=1105,a(4)=12046,a(5)=131399} ogf] A333686 6.36355 [(x^2+3*x-1)*(x^3+x^2+3*x+1)/(x-1)/(x+1)/(x^2-11*x+1)/(x^2+x+1) ogf] A333686 6.81012 [(x^2+3*x-1)*(x^3+x^2+3*x+1)/(x-1)/(x+1)/(x^2-11*x+1)/(x^2+x+1) ogf] A333714 18.0415 [(x+1)*(x^2-4*x-1)/(x-1)^3 ogf] A333714 21.2489 [(x+1)*(x^2-4*x-1)/(x-1)^3 ogf] A333714 7.5889 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=8,a(2)=24,a(3)=48} ogf] A333714 9.85774 [f(x)*x^3-3*f(x)*x^2-x^3+3*f(x)*x+3*x^2-f(x)+5*x+1 ogf] A333718 15.8906 [-(x-1)/(x^2-47*x+1) ogf] A333718 19.236 [-(x-1)/(x^2-47*x+1) ogf] A333718 7.85988 [-(540*f(x)-11)*(f(x)*x^2-47*f(x)*x+f(x)+x-1) ogf] A333718 9.61801 [{a(n+2)-47*a(n+1)+a(n),a(0)=1,a(1)=46} ogf] A333760 15.403 [-1/(x^4-3*x^3+2*x^2+3*x-1) ogf] A333760 18.4085 [-1/(x^4-3*x^3+2*x^2+3*x-1) ogf] A333760 5.54961 [{-a(n+4)+3*a(n+3)+2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=11,a(3)=36} ogf] A333760 6.34241 [(67*f(x)+22)*(f(x)*x^4-3*f(x)*x^3+2*f(x)*x^2+3*f(x)*x-f(x)+1) ogf] A333772 3.58974 [{2*a(n+1)*n^3+18*a(n+1)*n^2-a(n+2)*n+54*a(n+1)*n-2*a(n+2)+54*a(n+1),a(0)=2,a(1)=32} ogf] A333833 8.66072 [-(2*x^8+4*x^7+2*x^6+x^5+5*x^4+4*x^3+x^2+1)/(x^4+x-1) ogf] A333833 9.43921 [-(2*x^8+4*x^7+2*x^6+x^5+5*x^4+4*x^3+x^2+1)/(x^4+x-1) ogf] A333841 3.7271 [-x*(x^6-x^4-1)/(x-1)^2 ogf] A333841 4.38969 [-x*(x^6-x^4-1)/(x-1)^2 ogf] A333881 8.55771 [1/3*exp(x)+2/3*exp(-1/2*x)*cos(1/2*3^(1/2)*x) lgdegf] A333886 5.97615 [-(x^10-x^9+6*x^8+12*x^6+x^5+9*x^4-x^3+4*x^2-2*x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^7 ogf] A333886 6.31048 [-(x^10-x^9+6*x^8+12*x^6+x^5+9*x^4-x^3+4*x^2-2*x+1)/(x^2+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^7 ogf] A333897 6.86871 [-(x^4+x^3+x^2+x+1)*(x^6+x^4+2*x^3+x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^7 ogf] A333897 7.30831 [-(x^4+x^3+x^2+x+1)*(x^6+x^4+2*x^3+x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^7 ogf] A333905 15.5564 [(4*x^7+2*x^5+x^4-x^2-2*x-1)/(2*x^2-1) ogf] A333905 17.5965 [(4*x^7+2*x^5+x^4-x^2-2*x-1)/(2*x^2-1) ogf] A333994 8.33849 [-(2*x^15+2*x^11-4*x^9+4*x^8-4*x^7-4*x^4-2*x^3-x^2-1)/(x-1)^2 ogf] A333994 9.07155 [-(2*x^15+2*x^11-4*x^9+4*x^8-4*x^7-4*x^4-2*x^3-x^2-1)/(x-1)^2 ogf] A334000 2.58649 [{4*a(n+1)*n^3-4*a(n+2)*n^2+32*a(n+1)*n^2+a(n+3)*n-22*a(n+2)*n+85*a(n+1)*n+2*a(n+3)-29*a(n+2)+75*a(n+1),a(0)=0,a(1)=1,a(2)=11} ogf] A334000 5.03477 [-1/4*(2*I*ln(-1+2*x)*x-I*ln(-1+2*x)-6*I*x+2*Pi*x-Pi)/(-1+2*x)^(5/2) egf] A334041 5.5415 [{-a(n+6)+2*a(n+4)+a(n+3)-2*a(n+1),a(0)=2,a(1)=3,a(2)=5,a(3)=7,a(4)=11,a(5)=13} ogf] A334041 7.91643 [-(2*x^5+2*x^4+x^3-x^2-3*x-2)/(x-1)/(x^2+x+1)/(2*x^2-1) ogf] A334041 8.56933 [-(2*x^5+2*x^4+x^3-x^2-3*x-2)/(x-1)/(x^2+x+1)/(2*x^2-1) ogf] A334047 2.93918 [{-a(n+6)+4*a(n+5)-6*a(n+4)+6*a(n+3)-5*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=6,a(3)=16,a(4)=35,a(5)=78} ogf] A334047 5.67465 [-x^2*(2*x^3-7*x^2+8*x-6)/(x-1)/(x^5-2*x^4+3*x^3-3*x^2+3*x-1) ogf] A334047 6.16279 [-x^2*(2*x^3-7*x^2+8*x-6)/(x-1)/(x^5-2*x^4+3*x^3-3*x^2+3*x-1) ogf] A334066 4.85725 [1/4*(2*I*ln(-1+2*x)*x+2*x*Pi-I*ln(-1+2*x)-2*I*x-Pi+4*I)/(-1+2*x)^(5/2) egf] A334135 10.0149 [-(x-1)*(x^2-6*x+1)/(x^4-14*x^3+34*x^2-14*x+1) ogf] A334135 5.17776 [(83860*f(x)+4713)*(f(x)*x^4-14*f(x)*x^3+34*f(x)*x^2+x^3-14*f(x)*x-7*x^2+f(x)+7*x-1) ogf] A334135 5.43665 [{a(n+4)-14*a(n+3)+34*a(n+2)-14*a(n+1)+a(n),a(0)=1,a(1)=7,a(2)=71,a(3)=769} ogf] A334135 9.06108 [-(x-1)*(x^2-6*x+1)/(x^4-14*x^3+34*x^2-14*x+1) ogf] A334155 3.1099 [-(exp(-1)*exp(x)*Ei(1,-1)*x-exp(-1)*exp(x)*Ei(1,-1)-Ei(1,x-1)*exp(x-1)*x+Ei(1,x-1)*exp(x-1)+exp(x)*x-exp(x)+2)/(x-1) egf] A334157 9.83599 [(x^4-4*x^3+x-2)/(x^4+x-1) lgdegf] A334179 4.47319 [-(x-1)*(x^6-33*x^5+243*x^4-466*x^3+243*x^2-33*x+1)/(x^8-52*x^7+673*x^6-2548*x^5+3856*x^4-2548*x^3+673*x^2-52*x+1) ogf] A334179 4.69685 [-(x-1)*(x^6-33*x^5+243*x^4-466*x^3+243*x^2-33*x+1)/(x^8-52*x^7+673*x^6-2548*x^5+3856*x^4-2548*x^3+673*x^2-52*x+1) ogf] A334191 22.1444 [1-exp(3*x) lgdegf] A334199 6.12661 [(140*x^16+20*x^12+6*x^8+x^6-7*x^4-5*x^3-3*x^2-2*x-1)/(11*x^5-1) ogf] A334199 6.66521 [(140*x^16+20*x^12+6*x^8+x^6-7*x^4-5*x^3-3*x^2-2*x-1)/(11*x^5-1) ogf] A334244 5.03052 [{a(n+6)-64*a(n+4)-a(n+2)+64*a(n),a(0)=1,a(1)=15,a(2)=81,a(3)=959,a(4)=5185,a(5)=61391} ogf] A334244 7.19317 [-(x^3-17*x^2-15*x-1)/(x-1)/(8*x+1)/(8*x-1)/(x+1)/(x^2+1) ogf] A334244 7.77444 [-(x^3-17*x^2-15*x-1)/(x-1)/(8*x+1)/(8*x-1)/(x+1)/(x^2+1) ogf] A334258 9.51413 [I*(Pi+I*ln(x-1))*exp(-x) revegf] A334277 10.9746 [{a(n+2)-4*a(n+1)+a(n),a(0)=12,a(1)=42} ogf] A334277 18.5349 [-6*(x-2)/(x^2-4*x+1) ogf] A334277 22.5425 [-6*(x-2)/(x^2-4*x+1) ogf] A334277 9.26747 [-(4*f(x)+1)*(f(x)*x^2-4*f(x)*x+f(x)+6*x-12) ogf] A334281 11.0361 [-24*x^4*(1001*x^4+536*x^3+126*x^2+16*x+1)/(x-1)^9 ogf] A334281 2.96089 [{a(n+2)*n^2-a(n+1)*n^2+a(n+3)*n-4*a(n+2)*n-5*a(n+1)*n-a(n+3)-21*a(n+2)-6*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=24} ogf] A334281 9.84297 [-24*x^4*(1001*x^4+536*x^3+126*x^2+16*x+1)/(x-1)^9 ogf] A334293 14.3208 [(x^2+2*x-1)/(x^3+3*x^2+2*x-1) ogf] A334293 16.6589 [(x^2+2*x-1)/(x^3+3*x^2+2*x-1) ogf] A334293 7.92512 [{-a(n+3)+2*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A334293 9.17177 [f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2-f(x)-2*x+1 ogf] A334320 12.8235 [-x^2*(x^3+2*x^2+1)/(x+1)^2/(x-1)^3 ogf] A334320 14.6233 [-x^2*(x^3+2*x^2+1)/(x+1)^2/(x-1)^3 ogf] A334320 4.57981 [{-a(n+6)+a(n+5)+2*a(n+4)-2*a(n+3)-a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=1,a(4)=5,a(5)=6} ogf] A334340 5.69897 [-(1856*x^6-624*x^5-40*x^4+3*x^3-23*x^2+3*x+1)/(x-1)/(4*x-1)/(8*x-1)/(4*x+1)/(x+1)/(x^2+1) ogf] A334340 6.02463 [-(1856*x^6-624*x^5-40*x^4+3*x^3-23*x^2+3*x+1)/(x-1)/(4*x-1)/(8*x-1)/(4*x+1)/(x+1)/(x^2+1) ogf] A334356 8.89117 [-x*(54*x^6+209*x^5+330*x^4+185*x^3+55*x^2+6*x+1)/(x-1)^9 ogf] A334356 9.76931 [-x*(54*x^6+209*x^5+330*x^4+185*x^3+55*x^2+6*x+1)/(x-1)^9 ogf] A334396 12.5913 [2*x^2/(x^2+2*x-1)/(x^2-x-1) ogf] A334396 14.647 [2*x^2/(x^2+2*x-1)/(x^2-x-1) ogf] A334396 5.43715 [{a(n+4)-a(n+3)-4*a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=2} ogf] A334396 7.24953 [-f(x)*x^4-f(x)*x^3+4*f(x)*x^2+f(x)*x+2*x^2-f(x) ogf] A334501 6.17666 [-(2*x^10+x^9+4*x^7-5*x^6-4*x^5-3*x^4-4*x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A334501 6.58169 [-(2*x^10+x^9+4*x^7-5*x^6-4*x^5-3*x^4-4*x^3-x^2-x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A334502 8.06454 [(23*x^13-23*x^12+11*x^7-11*x^6+2*x^5+3*x^4-7*x^3-1)/(x-1) ogf] A334502 8.84184 [(23*x^13-23*x^12+11*x^7-11*x^6+2*x^5+3*x^4-7*x^3-1)/(x-1) ogf] A334503 6.75702 [(29*x^16-29*x^15+17*x^10-17*x^9+13*x^8-2*x^7-11*x^6+5*x^4-5*x^3-2*x^2-1)/(x-1) ogf] A334503 7.24844 [(29*x^16-29*x^15+17*x^10-17*x^9+13*x^8-2*x^7-11*x^6+5*x^4-5*x^3-2*x^2-1)/(x-1) ogf] A334509 5.00112 [-(10*x^13+5*x^12+2*x^11+10*x^10-18*x^9-8*x^8-4*x^7-24*x^6+2*x^5-11*x^4-2*x^3-2*x^2-2*x-2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A334509 5.24808 [-(10*x^13+5*x^12+2*x^11+10*x^10-18*x^9-8*x^8-4*x^7-24*x^6+2*x^5-11*x^4-2*x^3-2*x^2-2*x-2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A334511 6.12243 [-(5*x^13-14*x^11+9*x^10+10*x^9-10*x^8+4*x^7-3*x^6-7*x^5+2*x^3+2*x^2-2*x-2)/(x-1)^2/(x+1)^2 ogf] A334511 6.5081 [-(5*x^13-14*x^11+9*x^10+10*x^9-10*x^8+4*x^7-3*x^6-7*x^5+2*x^3+2*x^2-2*x-2)/(x+1)^2/(x-1)^2 ogf] A334513 7.305 [-(9*x^10-18*x^9+2*x^8+11*x^7-6*x^6+13*x^5-14*x^4+2*x^3-x^2+2*x-2)/(x-1)^2 ogf] A334513 7.85632 [-(9*x^10-18*x^9+2*x^8+11*x^7-6*x^6+13*x^5-14*x^4+2*x^3-x^2+2*x-2)/(x-1)^2 ogf] A334551 4.55501 [(8*I*x^3-24*I*x^2+8*(4*x-1)^(1/2)*x^2+24*I*x-9*(4*x-1)^(1/2)*x-8*I+7*(4*x-1)^(1/2))/(4*x-1)^(1/2)/(x-1)^3 ogf] A334559 6.08428 [-(9*x^10-9*x^9-9*x^8+7*x^7-12*x^6+19*x^5+10*x^4-x^3+x^2+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A334559 6.4616 [-(9*x^10-9*x^9-9*x^8+7*x^7-12*x^6+19*x^5+10*x^4-x^3+x^2+1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A334562 24.3427 [-3*x^2-2*x-1 lgdegf] A334562 3.81847 [{3*a(n+1)*n^2+2*a(n+2)*n+15*a(n+1)*n+a(n+4)+a(n+3)+6*a(n+2)+18*a(n+1),a(0)=1,a(1)=-1,a(2)=-1,a(3)=-1} ogf] A334563 20.5254 [x^4*(2*x^2-3)/(x-1)^3 ogf] A334563 25.5012 [x^4*(2*x^2-3)/(x-1)^3 ogf] A334563 5.36013 [{-a(n+7)+3*a(n+6)-3*a(n+5)+a(n+4),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=3,a(5)=9,a(6)=16} ogf] A334564 21.0987 [-4*x^3-3*x^2-2*x-1 lgdegf] A334565 17.7682 [-5*x^4-4*x^3-3*x^2-2*x-1 lgdegf] A334569 23.2768 [-x^2-x-1 lgdegf] A334569 3.7243 [{-a(n+1)*n^2-a(n+2)*n-5*a(n+1)*n-a(n+4)-a(n+3)-3*a(n+2)-6*a(n+1),a(0)=1,a(1)=-1,a(2)=0,a(3)=0} ogf] A334570 16.9569 [-(x+1)*(x^2+1) lgdegf] A334571 17.7714 [-x^4-x^3-x^2-x-1 lgdegf] A334571 3.79584 [{-a(n+6)*n-6*a(n+6)-a(n+5)-a(n+4)-a(n+3)-a(n+2)-a(n+1),a(0)=1,a(1)=-1,a(2)=0,a(3)=0,a(4)=0,a(5)=0} egf] A334601 2.28641 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A334603 15.711 [{a(n+1)-11*a(n),a(0)=2} ogf] A334603 16.8332 [-11*f(x)*x+f(x)-2 ogf] A334603 27.192 [-2/(11*x-1) ogf] A334603 39.2774 [-2/(11*x-1) ogf] A334625 6.38128 [-3*(x^12-x^10-x^6-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A334625 6.87691 [-3*(x^12-x^10-x^6-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A334638 8.8527 [-(4*x^8+4*x^7-6*x^5-8*x^4+5*x^2+4*x+3)/(x-1)/(4*x^3-1)/(2*x^3-1)/(x^2+x+1) ogf] A334638 9.43801 [-(4*x^8+4*x^7-6*x^5-8*x^4+5*x^2+4*x+3)/(x-1)/(4*x^3-1)/(2*x^3-1)/(x^2+x+1) ogf] A334642 4.59502 [-f(x)^3*x-6*f(x)^2*x^2-12*f(x)*x^3-8*x^4+f(x)^2*x-4*f(x)*x^2-20*x^3-f(x)*x-6*x^2+f(x)-3*x ogf] A334656 13.351 [(2*x^2-1)/(3*x-1)/(3*x^2+3*x+1) ogf] A334656 15.5308 [(2*x^2-1)/(3*x-1)/(3*x^2+3*x+1) ogf] A334656 7.84545 [(10143*f(x)-14239)*(9*f(x)*x^3+6*f(x)*x^2-2*x^2-f(x)+1) ogf] A334656 8.95305 [{-a(n+3)+6*a(n+1)+9*a(n),a(0)=1,a(1)=0,a(2)=4} ogf] A334670 8.34072 [(I*ln(2)+I*ln(-1/2+x)+Pi)*2^(1/2)/(4*x-2)^(3/2) egf] A334673 14.1333 [-x/(x-1)/(x^2-23*x+1) ogf] A334673 16.8254 [-x/(x-1)/(x^2-23*x+1) ogf] A334673 6.66665 [{a(n+3)-24*a(n+2)+24*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=24} ogf] A334673 8.94513 [f(x)*x^3-24*f(x)*x^2+24*f(x)*x-f(x)+x ogf] A334680 7.90656 [f(x)^3*x^3+3*f(x)^2*x^2-f(x)*x^2+5*f(x)*x-x^2-f(x)+2*x ogf] A334694 19.6489 [x*(x^3-6*x^2+3*x-4)/(x-1)^5 ogf] A334694 23.142 [x*(x^3-6*x^2+3*x-4)/(x-1)^5 ogf] A334694 6.16207 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=4,a(2)=17,a(3)=51,a(4)=124} ogf] A334697 18.0607 [-(35*x^3+123*x^2+45*x+1)/(x-1)^5 ogf] A334697 21.0094 [-(35*x^3+123*x^2+45*x+1)/(x-1)^5 ogf] A334697 5.88263 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=50,a(2)=363,a(3)=1360,a(4)=3665} ogf] A334698 18.0607 [-(31*x^3+135*x^2+33*x+5)/(x-1)^5 ogf] A334698 21.0094 [-(31*x^3+135*x^2+33*x+5)/(x-1)^5 ogf] A334698 5.88263 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=5,a(1)=58,a(2)=375,a(3)=1376,a(4)=3685} ogf] A334706 10.5116 [4*(2*x^4+2*x^3+x^2+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A334706 9.56677 [4*(2*x^4+2*x^3+x^2+1)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A334707 6.13325 [4*x*(10*x^6+35*x^5+67*x^4+87*x^3+83*x^2+53*x+25)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A334707 6.51658 [4*x*(10*x^6+35*x^5+67*x^4+87*x^3+83*x^2+53*x+25)/(x+1)/(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A334716 9.86593 [-(exp(-x)*x-exp(-x)-x)/(x-1)^2 egf] A334771 4.32602 [-(624*x^7+2416*x^6+176*x^5+624*x^4-599*x^3-2359*x^2-151*x-543)/(x-1)/(2*x+1)/(-1+2*x)/(x+1)/(4*x^2+1)/(x^2+1) ogf] A334771 4.53834 [-(624*x^7+2416*x^6+176*x^5+624*x^4-599*x^3-2359*x^2-151*x-543)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(4*x^2+1)/(x^2+1) ogf] A334776 2.93918 [{-16*a(n+1)*n^3-42*a(n)*n^3-120*a(n+1)*n^2-147*a(n)*n^2+8*a(n+2)*n-279*a(n+1)*n-126*a(n)*n+8*a(n+2)-280*a(n+1),a(0)=0,a(1)=3} ogf] A334785 7.24463 [1/2*(x^2+x-3+((4*x+9)*(x^2+3*x+1)^2)^(1/2))/(x+2)^4 revogf] A334786 5.26937 [1/2*((4*x+9)^(1/2)*x^2+2*x^3+2*(4*x+9)^(1/2)*x+11*x^2-(4*x+9)^(1/2)+16*x+3)/(x+2)^5 revogf] A334789 18.3573 [-(4*x^15+2*x^3+x+1)/(x-1) ogf] A334789 21.5499 [-(4*x^15+2*x^3+x+1)/(x-1) ogf] A334855 6.50502 [1/2*I*exp(-x)*(Pi+I*ln(x-1)-I*ln(x+1)) revegf] A334856 6.44365 [1/2*(2*I*ln(x+((x-1)*(x+1))^(1/2))+Pi)*exp(-x) revegf] A334889 5.96705 [-x^3*(4*x^33+x^32+3*x^29+3*x^25+3*x^21+x+1)/(x-1)/(x^4+1)/(x^32+1) ogf] A334889 6.39711 [-x^3*(4*x^33+x^32+3*x^29+3*x^25+3*x^21+x+1)/(x-1)/(x^4+1)/(x^32+1) ogf] A334907 10.1124 [2^(1/2)/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2))^(1/2) egf] A334908 10.6146 [1/(16*x-1)/(2*x+1)/(8*x+1)/(4*x-1) ogf] A334908 12.313 [1/(16*x-1)/(2*x+1)/(8*x+1)/(4*x-1) ogf] A334908 4.15979 [{a(n+4)-10*a(n+3)-120*a(n+2)+320*a(n+1)+1024*a(n),a(0)=1,a(1)=10,a(2)=220,a(3)=3080} ogf] A334908 4.56036 [-(10013*f(x)+512)*(1024*f(x)*x^4+320*f(x)*x^3-120*f(x)*x^2-10*f(x)*x+f(x)-1) ogf] A334909 10.4893 [(5*x+1)/(16*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A334909 4.33556 [(118586263551*f(x)+21260315324)*(1024*f(x)*x^4-960*f(x)*x^3+280*f(x)*x^2-30*f(x)*x+f(x)-5*x-1) ogf] A334909 4.36466 [{-a(n+4)+30*a(n+3)-280*a(n+2)+960*a(n+1)-1024*a(n),a(0)=1,a(1)=35,a(2)=770,a(3)=14260} ogf] A334909 9.29048 [(5*x+1)/(16*x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A334930 10.9665 [-(8*x^3-4*x^2-11*x-1)/(x-1)/(x+1)/(8*x^2-1) ogf] A334930 7.51406 [(5763*f(x)-6449)*(8*f(x)*x^4-9*f(x)*x^2+8*x^3-4*x^2+f(x)-11*x-1) ogf] A334930 8.03483 [{a(n+4)-9*a(n+2)+8*a(n),a(0)=1,a(1)=11,a(2)=13,a(3)=91} ogf] A334930 9.89656 [-(8*x^3-4*x^2-11*x-1)/(x-1)/(x+1)/(8*x^2-1) ogf] A334932 5.15277 [(3941844972494*f(x)-90221357515121)*(64*f(x)*x^4-65*f(x)*x^2+3648*x^3+2496*x^2+f(x)-3705*x-2535) ogf] A334932 6.21886 [{-a(n+4)+65*a(n+2)-64*a(n),a(0)=2535,a(1)=3705,a(2)=162279,a(3)=237177} ogf] A334932 7.75686 [-3*(19*x+13)*(64*x^2-65)/(x-1)/(8*x-1)/(8*x+1)/(x+1) ogf] A334932 8.48691 [-3*(19*x+13)*(64*x^2-65)/(x-1)/(8*x-1)/(8*x+1)/(x+1) ogf] A334976 4.99722 [-f(x)^3*x^3+6*f(x)^2*x^3-3*f(x)^2*x^2-12*f(x)*x^3+21*f(x)*x^2+8*x^3-9*f(x)*x-3*x^2+f(x) ogf] A334977 3.89885 [-f(x)^3*x^4+3*f(x)^2*x^4-9*f(x)^2*x^3-3*f(x)*x^4+2*f(x)^2*x^2+18*f(x)*x^3+x^4-28*f(x)*x^2-9*x^3+10*f(x)*x-x^2-f(x)+x ogf] A334991 14.7799 [-2*(15*x-2)/(18*x-1)/(4*x-1) ogf] A334991 17.5297 [-2*(15*x-2)/(18*x-1)/(4*x-1) ogf] A334991 7.85184 [-(175*f(x)+141)*(72*f(x)*x^2-22*f(x)*x+f(x)+30*x-4) ogf] A334991 9.7893 [{a(n+2)-22*a(n+1)+72*a(n),a(0)=4,a(1)=58} ogf] A334995 5.55679 [(x^4-5*x^3+74*x^2+5*x+1)*(x^2+1)/(x^2+4*x-1)/(x^2+11*x-1)/(x^2-4*x-1)/(x^2-x-1) ogf] A334995 5.88608 [(x^4-5*x^3+74*x^2+5*x+1)*(x^2+1)/(x^2+4*x-1)/(x^2+11*x-1)/(x^2-4*x-1)/(x^2-x-1) ogf] A335025 13.0335 [-(3*x^2-10*x+5)/(x-1)/(x^2-4*x+1) ogf] A335025 14.8313 [-(3*x^2-10*x+5)/(x-1)/(x^2-4*x+1) ogf] A335025 7.28994 [(1695*f(x)+1327)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+3*x^2-f(x)-10*x+5) ogf] A335025 8.11522 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=5,a(1)=15,a(2)=53} ogf] A335026 4.48169 [-3*(3*ln(x+1)*x^3+9*ln(x+1)*x^2-8*x^3+9*ln(x+1)*x-6*x^2+3*ln(x+1)-6*x)/(x+1)^3/(x-1)^4 egf] A335026 4.90852 [{-a(n+1)*n^2-10*a(n+1)*n+a(n+3)-a(n+2)-25*a(n+1),a(0)=0,a(1)=9,a(2)=9} ogf] A335047 7.71936 [-x*(2*x^8-2*x^7-4*x^6+4*x^5+2*x^4-4*x^3+x^2+2*x+3)/(x+1)/(x-1)^3 ogf] A335047 8.3308 [-x*(2*x^8-2*x^7-4*x^6+4*x^5+2*x^4-4*x^3+x^2+2*x+3)/(x+1)/(x-1)^3 ogf] A335048 12.0804 [-x*(2*x^3-3*x^2+2*x+3)/(x+1)/(x-1)^3 ogf] A335048 13.6647 [-x*(2*x^3-3*x^2+2*x+3)/(x+1)/(x-1)^3 ogf] A335048 6.08428 [{-a(n+5)+2*a(n+4)-2*a(n+2)+a(n+1),a(0)=0,a(1)=3,a(2)=8,a(3)=13,a(4)=22} ogf] A335048 6.4616 [-(28*f(x)+15)*(f(x)*x^4-2*f(x)*x^3+2*x^4-3*x^3+2*f(x)*x+2*x^2-f(x)+3*x) ogf] A335077 5.61004 [{a(n+6)-5*a(n+5)+4*a(n+4),a(0)=1,a(1)=11,a(2)=39,a(3)=543,a(4)=2391,a(5)=9559} ogf] A335077 8.92506 [-(224*x^5+168*x^4-392*x^3+12*x^2-6*x-1)/(4*x-1)/(x-1) ogf] A335077 9.81757 [-(224*x^5+168*x^4-392*x^3+12*x^2-6*x-1)/(4*x-1)/(x-1) ogf] A335087 14.9758 [(x-1)*(2*x^2-1)/(2*x^2-4*x+1)^2 ogf] A335087 17.4209 [(x-1)*(2*x^2-1)/(2*x^2-4*x+1)^2 ogf] A335087 6.05406 [(40*f(x)+13)*(4*f(x)*x^4-16*f(x)*x^3+20*f(x)*x^2-2*x^3-8*f(x)*x+2*x^2+f(x)+x-1) ogf] A335087 6.14116 [{-a(n+4)+8*a(n+3)-20*a(n+2)+16*a(n+1)-4*a(n),a(0)=1,a(1)=7,a(2)=34,a(3)=150} ogf] A335111 3.66935 [{-a(n+2)*n^2-2*a(n+1)*n^2+a(n+3)*n-3*a(n+2)*n-10*a(n+1)*n+2*a(n+3)-12*a(n+1),a(0)=0,a(1)=1,a(2)=-2} ogf] A335129 12.4847 [x*(x^3+x+1)/(x^2+x+1)/(x-1)^2 ogf] A335129 14.2369 [x*(x^3+x+1)/(x^2+x+1)/(x-1)^2 ogf] A335129 6.01115 [{a(n+5)-a(n+4)-a(n+2)+a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=2,a(4)=4} ogf] A335129 6.76255 [-(9*f(x)+29)*(f(x)*x^4-f(x)*x^3-x^4-f(x)*x-x^2+f(x)-x) ogf] A335155 6.59539 [-(x^16+x^15-x^14+x^13-x^11+x^10-x^8+x^7+x^6-2*x^3-3*x^2-2*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A335155 6.94482 [-(x^16+x^15-x^14+x^13-x^11+x^10-x^8+x^7+x^6-2*x^3-3*x^2-2*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A335159 10.6785 [-(11*x^3+6*x^2+8*x+4)/(2*x-1)/(2*x+1)/(4*x^2+1) ogf] A335159 7.98193 [(12759616*f(x)-19231061)*(16*f(x)*x^4+11*x^3+6*x^2-f(x)+8*x+4) ogf] A335159 9.63672 [-(11*x^3+6*x^2+8*x+4)/(2*x-1)/(2*x+1)/(4*x^2+1) ogf] A335159 9.63672 [{-a(n+4)+16*a(n),a(0)=4,a(1)=8,a(2)=6,a(3)=11} ogf] A335160 10.078 [-(13*x^3+11*x^2+12*x+8)/(2*x-1)/(2*x+1)/(4*x^2+1) ogf] A335160 7.36469 [(222312928*f(x)-1574289947)*(16*f(x)*x^4+13*x^3+11*x^2-f(x)+12*x+8) ogf] A335160 9.11819 [-(13*x^3+11*x^2+12*x+8)/(2*x-1)/(2*x+1)/(4*x^2+1) ogf] A335160 9.11819 [{-a(n+4)+16*a(n),a(0)=8,a(1)=12,a(2)=11,a(3)=13} ogf] A335161 5.49567 [-(141*x^7+75*x^6+44*x^5+24*x^4+128*x^3+64*x^2+32*x+16)/(2*x-1)/(2*x+1)/(4*x^2+1)/(16*x^4+1) ogf] A335161 5.82874 [-(141*x^7+75*x^6+44*x^5+24*x^4+128*x^3+64*x^2+32*x+16)/(2*x-1)/(2*x+1)/(4*x^2+1)/(16*x^4+1) ogf] A335164 3.3705 [-(4*x+1)*(3*x^13+2*x^12+3*x^11+3*x^10+2*x^8+x^7+2*x^6+2*x^5+x^3+3*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A335164 3.48623 [-(4*x+1)*(3*x^13+2*x^12+3*x^11+3*x^10+2*x^8+x^7+2*x^6+2*x^5+x^3+3*x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A335167 8.23768 [-(10*x^4+14*x^3+13*x^2+8*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A335167 8.67124 [{a(n+5)-a(n),a(0)=1,a(1)=8,a(2)=13,a(3)=14,a(4)=10} ogf] A335167 8.954 [-(10*x^4+14*x^3+13*x^2+8*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A335169 8.04521 [-(x+1)*(8*x^3+5*x^2+9*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A335169 8.55333 [{-a(n+5)+a(n),a(0)=1,a(1)=10,a(2)=14,a(3)=13,a(4)=8} ogf] A335169 8.73727 [-(x+1)*(8*x^3+5*x^2+9*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A335184 19.7007 [-x^7/(x^6+x-1)/(x-1)^2 ogf] A335184 23.5447 [-x^7/(x^6+x-1)/(x-1)^2 ogf] A335206 16.4117 [(x^2-x+1)^2/(x^3+x-1)^2 ogf] A335206 19.614 [(x^2-x+1)^2/(x^3+x-1)^2 ogf] A335206 4.56918 [{a(n+6)-2*a(n+5)+a(n+4)-2*a(n+3)+2*a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=2,a(3)=4,a(4)=5,a(5)=10} ogf] A335242 10.1773 [-f(x)*x^3+2*x^3-2*f(x)*x-2*x^2+f(x)+2*x-1 ogf] A335242 14.1054 [(2*x^3-2*x^2+2*x-1)/(x^3+2*x-1) ogf] A335242 16.4084 [(2*x^3-2*x^2+2*x-1)/(x^3+2*x-1) ogf] A335242 7.65724 [{-a(n+4)+2*a(n+3)+a(n+1),a(0)=1,a(1)=0,a(2)=2,a(3)=3} ogf] A335274 13.3966 [-(2*x+1)*x/(x^3+2*x-1) ogf] A335274 16.0105 [-x*(2*x+1)/(x^3+2*x-1) ogf] A335274 7.72272 [{-a(n+3)+2*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=4} ogf] A335274 9.79748 [-f(x)*x^3-2*f(x)*x-2*x^2+f(x)-x ogf] A335280 7.19224 [-(x^33-3*x^32+3*x^31-x^30+x^27-x^26-3*x^25+5*x^24-2*x^23-1)/(x-1)^2 ogf] A335280 7.73505 [-(x^33-3*x^32+3*x^31-x^30+x^27-x^26-3*x^25+5*x^24-2*x^23-1)/(x-1)^2 ogf] A335298 10.5378 [-x*(x^4+2*x^3-2*x^2+2*x+1)/(x^2+1)^2/(x-1)^3 ogf] A335298 11.6926 [-x*(x^4+2*x^3-2*x^2+2*x+1)/(x^2+1)^2/(x-1)^3 ogf] A335332 4.64593 [(7168*x^8-2304*x^7-96*x^6+12*x^5+124*x^4-39*x^3+11*x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(-1+8*x)/(x+1)/(x^2+1) ogf] A335332 4.88267 [(7168*x^8-2304*x^7-96*x^6+12*x^5+124*x^4-39*x^3+11*x^2-3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(8*x-1)/(x+1)/(x^2+1) ogf] A335338 10.2213 [(x+1)*(x^4+1676*x^3+11766*x^2+1676*x+1)/(x-1)^6 ogf] A335338 11.373 [(x+1)*(x^4+1676*x^3+11766*x^2+1676*x+1)/(x-1)^6 ogf] A335344 2.93627 [{a(n)*n^3-3*a(n+1)*n^2+3*a(n)*n^2+3*a(n+2)*n-8*a(n+1)*n+2*a(n)*n-a(n+3)+6*a(n+2)-4*a(n+1),a(0)=1,a(1)=0,a(2)=1} ogf] A335344 9.5748 [1/exp(-1/2)*exp(1/2*(2*x-1)/(x-1)^2) egf] A335345 17.1533 [exp(-1/2*x^2/(x-1)^3) egf] A335365 8.43557 [(2*x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3-x^2+2)/(x-1)^2 ogf] A335365 9.09076 [(2*x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3-x^2+2)/(x-1)^2 ogf] A335411 4.2512 [(11*x^12-20*x^11-45*x^10+24*x^9-24*x^8-24*x^6-24*x^4-11*x^2-4*x-3)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A335411 4.43604 [(11*x^12-20*x^11-45*x^10+24*x^9-24*x^8-24*x^6-24*x^4-11*x^2-4*x-3)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A335412 3.82864 [3*(6*x^12-11*x^11-25*x^10+10*x^9-14*x^8-2*x^7-14*x^6-2*x^5-14*x^4-2*x^3-8*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A335412 3.97449 [3*(6*x^12-11*x^11-25*x^10+10*x^9-14*x^8-2*x^7-14*x^6-2*x^5-14*x^4-2*x^3-8*x^2-3*x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x+1)^2/(x-1)^3 ogf] A335439 14.7204 [x*(x^2-4*x+2)/(2*x-1)/(x-1)^3 ogf] A335439 17.1237 [x*(x^2-4*x+2)/(2*x-1)/(x-1)^3 ogf] A335439 6.21528 [(23*f(x)+65)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2-x^3-5*f(x)*x+4*x^2+f(x)-2*x) ogf] A335439 6.26166 [{-a(n+4)+5*a(n+3)-9*a(n+2)+7*a(n+1)-2*a(n),a(0)=0,a(1)=2,a(2)=6,a(3)=13} ogf] A335537 4.75561 [1/2*exp(2*x+x^(3/2))*x^(1/2)+1/2*exp(2*x+x^(3/2))-1/2*exp(2*x-x^(3/2))*x^(1/2)+1/2*exp(2*x-x^(3/2)) egf] A335551 10.5297 [x^2*(x-1)/(x^2-3*x+1)/(x^3-2*x^2+3*x-1) ogf] A335551 11.8257 [x^2*(x-1)/(x^2-3*x+1)/(x^3-2*x^2+3*x-1) ogf] A335551 4.65861 [{-a(n+5)+6*a(n+4)-12*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=5,a(4)=18} ogf] A335551 4.99137 [-(46*f(x)+5)*(f(x)*x^5-5*f(x)*x^4+10*f(x)*x^3-12*f(x)*x^2-x^3+6*f(x)*x+x^2-f(x)) ogf] A335559 13.3568 [-x*(x-1)/(2*x^3-4*x^2-3*x+1) ogf] A335559 15.5375 [-x*(x-1)/(2*x^3-4*x^2-3*x+1) ogf] A335559 7.04943 [(47*f(x)-3)*(2*f(x)*x^3-4*f(x)*x^2-3*f(x)*x+x^2+f(x)-x) ogf] A335559 7.39163 [{a(n+3)-3*a(n+2)-4*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A335560 4.86032 [-(2810714622*f(x)+189354767273)*(6*f(x)*x^3+186*x^4-11*f(x)*x^2-281*x^3+6*f(x)*x+46*x^2-f(x)+10*x+1) ogf] A335560 5.33285 [{-a(n+5)+6*a(n+4)-11*a(n+3)+6*a(n+2),a(0)=1,a(1)=16,a(2)=131,a(3)=335,a(4)=851} ogf] A335560 8.43879 [-(186*x^4-281*x^3+46*x^2+10*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A335560 9.25217 [-(186*x^4-281*x^3+46*x^2+10*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A335583 7.90617 [x^4*(x^6-2*x^5-x^4+2*x^3+2*x^2+x-4)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A335583 8.5324 [x^4*(x^6-2*x^5-x^4+2*x^3+2*x^2+x-4)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A335595 15.3506 [1/(x-1)^2*exp(-x*(x+2)) egf] A335595 4.42164 [{-2*a(n+1)*n^2-a(n+3)*n-10*a(n+1)*n+a(n+4)-3*a(n+3)-12*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=4} ogf] A335602 8.14031 [-(x^4+2*x^3+2*x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A335604 4.64577 [-(x^2+1)*(x^10+2*x^9+2*x+1)*(x^4+1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf_with_Euler_transform] A335606 4.18263 [-(x+1)*(x^10-x^9-3*x^8+2*x^7-x^6-2*x^5+7*x^4-3*x^3-5*x^2+2*x+1)/(x-1)/(x^3+x^2+x-1)/(x^10-3*x^9-x^8+2*x^6+x^4-4*x^3+3*x-1) ogf] A335606 4.34746 [-(x+1)*(x^10-x^9-3*x^8+2*x^7-x^6-2*x^5+7*x^4-3*x^3-5*x^2+2*x+1)/(x-1)/(x^3+x^2+x-1)/(x^10-3*x^9-x^8+2*x^6+x^4-4*x^3+3*x-1) ogf] A335608 11.8786 [-8*(2*x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A335608 13.6716 [-8*(2*x+1)/(x-1)/(3*x-1)/(7*x-1) ogf] A335608 6.19313 [(402477*f(x)-978152)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)+16*x+8) ogf] A335608 6.52789 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=8,a(1)=104,a(2)=896} ogf] A335609 4.24037 [(18132749995976*f(x)+69026297604315)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2-26*f(x)*x-258*x^2+f(x)-220*x-26) ogf] A335609 4.62837 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=26,a(1)=896,a(2)=18458,a(3)=316928} ogf] A335609 8.13955 [2*(129*x^2+110*x+13)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A335609 8.96381 [2*(129*x^2+110*x+13)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A335610 6.27613 [-16*(522*x^3+593*x^2+140*x+5)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A335610 6.76838 [-16*(522*x^3+593*x^2+140*x+5)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A335611 4.22249 [2*(270585*x^4+372324*x^3+128086*x^2+10084*x+121)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(63*x-1)/(7*x-1) ogf] A335611 4.46906 [2*(270585*x^4+372324*x^3+128086*x^2+10084*x+121)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(63*x-1)/(7*x-1) ogf] A335612 10.1849 [8*(x-4)/(x-1)/(3*x-1)/(7*x-1) ogf] A335612 11.7222 [8*(x-4)/(x-1)/(3*x-1)/(7*x-1) ogf] A335612 5.17731 [(8812443*f(x)-37152472)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)-8*x+32) ogf] A335612 5.49802 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=32,a(1)=344,a(2)=2792} ogf] A335613 3.84275 [(20116624580023496*f(x)+110325180294996405)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2-26*f(x)*x-186*x^2+f(x)-28*x-290) ogf] A335613 4.25884 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=290,a(1)=7568,a(2)=140114,a(3)=2300576} ogf] A335613 7.77486 [2*(93*x^2+14*x+145)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A335613 8.57229 [2*(93*x^2+14*x+145)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A335639 10.4596 [-x^2*(x^4+6*x^3+16*x^2+12*x+7)/(x+1)^3/(x-1)^5 ogf] A335639 11.6382 [-x^2*(x^4+6*x^3+16*x^2+12*x+7)/(x+1)^3/(x-1)^5 ogf] A335647 3.00631 [{27*a(n+2)*n^3-256*a(n+1)*n^3+162*a(n+2)*n^2-1408*a(n+1)*n^2+303*a(n+2)*n-2544*a(n+1)*n+180*a(n+2)-1512*a(n+1),a(0)=1,a(1)=10} ogf] A335648 11.6431 [x*(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^6 ogf] A335648 13.0761 [x*(x^4+2*x^3+6*x^2+2*x+1)/(x+1)^2/(x-1)^6 ogf] A335649 10.0257 [-10*x*(x+1)/(x-1)/(x^2-14*x+1)/(x^2-4*x+1) ogf] A335649 4.24819 [{a(n+5)-19*a(n+4)+76*a(n+3)-76*a(n+2)+19*a(n+1)-a(n),a(0)=0,a(1)=10,a(2)=200,a(3)=3040,a(4)=43320} ogf] A335649 9.05938 [-10*x*(x+1)/(x-1)/(x^2-14*x+1)/(x^2-4*x+1) ogf] A335690 5.95797 [-(2*x^7+2*x^6+5*x^5+4*x^4+5*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A335690 6.35189 [-(2*x^7+2*x^6+5*x^5+4*x^4+5*x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A335694 16.8469 [-(11*x^4-6*x^3-8*x^2+8*x-2)/(x-1)^5 ogf] A335694 19.3428 [-(11*x^4-6*x^3-8*x^2+8*x-2)/(x-1)^5 ogf] A335694 6.29223 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=-2,a(1)=-2,a(2)=2,a(3)=4,a(4)=1} ogf] A335711 6.89732 [-(x^6+x^5-x^4+2*x^3-8*x^2+2)/(x-1)/(x^2+2*x-1)/(x^4+2*x^2-1) ogf] A335711 7.40355 [-(x^6+x^5-x^4+2*x^3-8*x^2+2)/(x-1)/(x^2+2*x-1)/(x^4+2*x^2-1) ogf] A335714 15.3696 [(x-1)^3/(-1+2*x)/(x^2+x-1)^2 ogf] A335714 18.102 [(x-1)^3/(-1+2*x)/(x^2+x-1)^2 ogf] A335714 4.9369 [{a(n+5)-4*a(n+4)+3*a(n+3)+4*a(n+2)-3*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=4,a(3)=8,a(4)=19} ogf] A335718 17.8841 [-x/(5*x^3+3*x^2+2*x-1) ogf] A335718 21.7509 [-x/(5*x^3+3*x^2+2*x-1) ogf] A335718 7.81343 [-(2*f(x)+1)*(5*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-f(x)+x) ogf] A335718 7.81343 [{a(n+3)-2*a(n+2)-3*a(n+1)-5*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A335719 14.3226 [(3*x^2+4*x-3)/(5*x^3+3*x^2+2*x-1) ogf] A335719 16.661 [(3*x^2+4*x-3)/(5*x^3+3*x^2+2*x-1) ogf] A335719 6.69172 [-(8617*f(x)-23997)*(5*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-3*x^2-f(x)-4*x+3) ogf] A335719 7.77514 [{a(n+3)-2*a(n+2)-3*a(n+1)-5*a(n),a(0)=3,a(1)=2,a(2)=10} ogf] A335720 14.9305 [x*(x-1)/(5*x^3+3*x^2+2*x-1) ogf] A335720 17.5848 [x*(x-1)/(5*x^3+3*x^2+2*x-1) ogf] A335720 7.12896 [-(f(x)+1)*(5*f(x)*x^3+3*f(x)*x^2+2*f(x)*x-x^2-f(x)+x) ogf] A335720 7.68267 [{-a(n+3)+2*a(n+2)+3*a(n+1)+5*a(n),a(0)=0,a(1)=1,a(2)=1} ogf] A335741 5.13473 [-(x^46+x^43+x^42+x^41-x^36-2*x^29-x^26-x^25-x^24-x^12-x^5-x^2-x-1)/(x-1)/(x^41-x^24-1) ogf] A335741 5.38987 [-(x^46+x^43+x^42+x^41-x^36-2*x^29-x^26-x^25-x^24-x^12-x^5-x^2-x-1)/(x-1)/(x^41-x^24-1) ogf] A335747 3.31365 [{-a(n+7)+a(n+6)+4*a(n+5)-a(n+4)-a(n+3),a(0)=1,a(1)=3,a(2)=13,a(3)=26,a(4)=66,a(5)=154,a(6)=380} ogf] A335747 6.59167 [(x^6-8*x^4+2*x^3+6*x^2+2*x+1)/(x^2+2*x-1)/(x^2-x-1) ogf] A335747 7.21207 [(x^6-8*x^4+2*x^3+6*x^2+2*x+1)/(x^2+2*x-1)/(x^2-x-1) ogf] A335749 10.4831 [{a(n+2)-4*a(n+1)-2*a(n),a(0)=1,a(1)=8} ogf] A335749 17.2389 [-(4*x+1)/(2*x^2+4*x-1) ogf] A335749 20.9662 [-(4*x+1)/(2*x^2+4*x-1) ogf] A335749 9.12646 [(9*f(x)+7)*(2*f(x)*x^2+4*f(x)*x-f(x)+4*x+1) ogf] A335754 8.48251 [-(x^4+x^3+2)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A335755 8.10636 [-(2*x^4+x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A335756 10.9322 [2*(2*x^5+3*x^4+4*x^3+x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A335756 12.068 [2*(2*x^5+3*x^4+4*x^3+x^2+1)/(x-1)^2/(x^2+x+1)^2 ogf] A335756 7.6167 [{a(n+6)-2*a(n+3)+a(n),a(0)=2,a(1)=0,a(2)=2,a(3)=12,a(4)=6,a(5)=8} ogf] A335766 6.10548 [-(x^8-x^7+x^6+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1) ogf_with_Euler_transform] A335807 11.9781 [(x^3-x^2+4*x-3)/(x-1)/(x^2-3*x+1) ogf] A335807 13.549 [(x^3-x^2+4*x-3)/(x-1)/(x^2-3*x+1) ogf] A335807 6.45696 [-(272*f(x)+1461)*(f(x)*x^3-4*f(x)*x^2-x^3+4*f(x)*x+x^2-f(x)-4*x+3) ogf] A335807 6.55945 [{a(n+4)-4*a(n+3)+4*a(n+2)-a(n+1),a(0)=3,a(1)=8,a(2)=21,a(3)=54} ogf] A335819 19.6109 [exp(3/2*x*(x+2)) egf] A335819 6.64502 [{-3*a(n+1)*n+a(n+3)-3*a(n+2)-6*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A335827 7.53853 [-1/(x-1)*BesselI(0,2^(1/2)*x^(3/2))*exp(-1/2*x*(x+2)) egf] A335840 13.4249 [-(2*x+1)/(2*x-1)/(4*x^2-x+1) ogf] A335840 15.6167 [-(2*x+1)/(-1+2*x)/(4*x^2-x+1) ogf] A335840 7.02037 [-(5*f(x)+408)*(8*f(x)*x^3-6*f(x)*x^2+3*f(x)*x-f(x)+2*x+1) ogf] A335840 7.35789 [{a(n+3)-3*a(n+2)+6*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=9} ogf] A335843 10.7551 [{a(n+2)-3*a(n+1)+2*a(n),a(0)=0,a(1)=81} ogf] A335843 13.2647 [-2*f(x)*x^2+3*f(x)*x-f(x)+81*x ogf] A335843 18.9495 [81*x/(2*x-1)/(x-1) ogf] A335843 23.4082 [81*x/(-1+2*x)/(x-1) ogf] A335855 6.27416 [-2*(x^39-x^38+x^37-x^36+x^35-x^34+x^33-x^32+x^31-x^30+x^29+x^19+x^4+1)/(x-1) ogf] A335855 6.63014 [-2*(x^39-x^38+x^37-x^36+x^35-x^34+x^33-x^32+x^31-x^30+x^29+x^19+x^4+1)/(x-1) ogf] A335857 5.37573 [1/(x-1)^16*(x^10+116*x^9+2727*x^8+21572*x^7+70328*x^6+103376*x^5+70328*x^4+21572*x^3+2727*x^2+116*x+1) ogf] A335873 3.92347 [-1/2*I*(Pi*x-Pi+I*ln(x-1)*x-I*ln(x+1)*x-I*ln(x-1)+I*ln(x+1)-4*I*x)/(x-1) egf] A335891 10.2036 [(f(x)-3)*(2*f(x)*x-f(x)+2)^2 ogf] A335903 19.9535 [(x-1)*(x^2-2)/(2*x-1)^2 ogf] A335903 23.8468 [(x-1)*(x^2-2)/(-1+2*x)^2 ogf] A335903 9.05297 [{a(n+4)-4*a(n+3)+4*a(n+2),a(0)=2,a(1)=6,a(2)=15,a(3)=37} ogf] A335903 9.6804 [(7*f(x)-5)*(4*f(x)*x^2-x^3-4*f(x)*x+x^2+f(x)+2*x-2) ogf] A335927 10.2675 [(x^4-4*x^3+6*x^2-3*x+1)/(-1+2*x)/(x-1)^3 ogf] A335927 4.01485 [{-a(n+5)+5*a(n+4)-9*a(n+3)+7*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=20,a(4)=50} ogf] A335927 4.17545 [(232+1295*f(x))*(2*f(x)*x^4-7*f(x)*x^3-x^4+9*f(x)*x^2+4*x^3-5*f(x)*x-6*x^2+f(x)+3*x-1) ogf] A335927 9.07706 [(x^4-4*x^3+6*x^2-3*x+1)/(2*x-1)/(x-1)^3 ogf] A336030 10.9703 [-(3*x^4-x^3+x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A336030 4.82693 [{-a(n+6)+a(n+5)+2*a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=2,a(3)=2,a(4)=3,a(5)=4} ogf] A336030 9.9378 [-(3*x^4-x^3+x-1)/(x^2+x-1)/(x^4+x^2-1) ogf] A336102 14.3849 [-x^2*(x-1)*(x+1)^2/(2*x^2-1)^2 ogf] A336102 16.7335 [-x^2*(x-1)*(x+1)^2/(2*x^2-1)^2 ogf] A336102 6.40579 [{a(n+6)-4*a(n+4)+4*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=1,a(4)=3,a(5)=3} ogf] A336103 11.1002 [(x-1)*(2*x^5+7*x^4-5*x^2+1)/(2*x-1)/(2*x^2-1)^2 ogf] A336103 12.3167 [(x-1)*(2*x^5+7*x^4-5*x^2+1)/(-1+2*x)/(2*x^2-1)^2 ogf] A336103 4.541 [{-a(n+7)+2*a(n+6)+4*a(n+5)-8*a(n+4)-4*a(n+3)+8*a(n+2),a(0)=1,a(1)=1,a(2)=1,a(3)=3,a(4)=5,a(5)=13,a(6)=24} ogf] A336122 13.2773 [-(508*f(x)-219)*(2*f(x)*x^3+9*x^2-f(x)+7*x+5) ogf] A336122 16.2061 [{a(n+3)-2*a(n),a(0)=5,a(1)=7,a(2)=9} ogf] A336122 22.4901 [-(9*x^2+7*x+5)/(2*x^3-1) ogf] A336122 26.8785 [-(9*x^2+7*x+5)/(2*x^3-1) ogf] A336165 8.8812 [1/2*I*((4*x^3-8*x^2+4*x-1)^(1/2)-I)/x/(x-1)^2 ogf] A336165 9.34257 [f(x)^2*x^3-2*f(x)^2*x^2+f(x)^2*x-f(x)+1 ogf] A336181 8.7182 [1/(x+1)*hypergeom([1/3,2/3],[1],-54*x^2/(x+1)^3) ogf] A336182 8.82078 [1/(1+2*x)*hypergeom([1/3,2/3],[1],-81*x^2/(1+2*x)^3) ogf] A336186 2.30259 [(x+1)*(x^2+16*x+1)/(x^4-110*x^2+1) ogf] A336186 2.6096 [(x+1)*(x^2+16*x+1)/(x^4-110*x^2+1) ogf] A336283 7.03492 [-2*f(x)^2*x+2*f(x)*x^2-3*f(x)*x-x^2+f(x)+2*x-1 ogf] A336283 8.46092 [1/4/x*(2*x-1+(4*x^2-12*x+1)^(1/2))*(x-1) ogf] A336288 25.8825 [(3*x+1)^2/(x-1)^4 ogf] A336288 34.1649 [(3*x+1)^2/(x-1)^4 ogf] A336288 6.18929 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=43,a(3)=116} ogf] A336288 6.52001 [(14*f(x)+89)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*f(x)*x-9*x^2+f(x)-6*x-1) ogf] A336293 5.76864 [-1/exp(2)*KummerM(1/2,1,4*x/(x-1))/(x-1)*exp(-2*(x+1)/(x-1)) egf] A336310 4.05426 [-f(x)^2*x^5-4*f(x)^2*x^4-2*f(x)^2*x^3+2*f(x)*x^4+4*f(x)^2*x^2+10*f(x)*x^3-f(x)^2*x+6*f(x)*x^2-2*x^3-14*f(x)*x-4*x^2+4*f(x) egf] A336337 10.59 [-x*(2*x^2-6*x+3)/(x-1)/(3*x-1)/(2*x-1) ogf] A336337 11.8934 [-x*(2*x^2-6*x+3)/(x-1)/(3*x-1)/(-1+2*x) ogf] A336337 6.13549 [{a(n+4)-6*a(n+3)+11*a(n+2)-6*a(n+1),a(0)=0,a(1)=3,a(2)=12,a(3)=41} ogf] A336337 6.38902 [(661*f(x)-2250)*(6*f(x)*x^3-11*f(x)*x^2+2*x^3+6*f(x)*x-6*x^2-f(x)+3*x) ogf] A336398 3.66265 [{-a(n+6)+a(n+5)+3*a(n+4)-a(n+3)-2*a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=1,a(3)=4,a(4)=5,a(5)=14} ogf] A336398 6.38244 [-x*(2*x^4+3*x^2+x-2)/(2*x-1)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A336398 6.93147 [-x*(2*x^4+3*x^2+x-2)/(-1+2*x)/(x+1)/(2*x^2-1)/(x^2+1) ogf] A336430 10.9782 [x*(x^19+x^18-x^10-x^9+1)/(x+1)/(x-1)^2 ogf] A336430 12.198 [x*(x^19+x^18-x^10-x^9+1)/(x+1)/(x-1)^2 ogf] A336483 4.5319 [-x*(44*x^9-5*x^8-5*x^7-5*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x-5)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A336483 4.73111 [-x*(44*x^9-5*x^8-5*x^7-5*x^6-5*x^5-5*x^4-5*x^3-5*x^2-5*x-5)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A336529 12.6688 [-(3*x^4-2*x^3+2*x^2+1)/(x+1)^2/(x-1)^5 ogf] A336529 14.3303 [-(3*x^4-2*x^3+2*x^2+1)/(x+1)^2/(x-1)^5 ogf] A336535 16.8117 [-(x^4+x^3+8*x^2+x+1)/(x-1)^5 ogf] A336535 19.3493 [-(x^4+x^3+8*x^2+x+1)/(x-1)^5 ogf] A336535 6.03244 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=28,a(3)=91,a(4)=231} ogf] A336602 12.228 [(x^3-x+1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A336602 13.8317 [(x^3-x+1)/(x^2-3*x+1)/(5*x^2-5*x+1) ogf] A336602 6.02667 [(289785*f(x)+12398)*(5*f(x)*x^4-20*f(x)*x^3+21*f(x)*x^2-x^3-8*f(x)*x+f(x)+x-1) ogf] A336602 6.07003 [{a(n+4)-8*a(n+3)+21*a(n+2)-20*a(n+1)+5*a(n),a(0)=1,a(1)=7,a(2)=35,a(3)=154} ogf] A336614 5.08181 [{a(n+1)*n^2+5*a(n+1)*n+2*a(n+3)+6*a(n+1)-a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=10} ogf] A336623 4.56144 [{-a(n+5)+a(n+4)+34*a(n+3)-34*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=11,a(3)=186,a(4)=390} ogf] A336623 8.71287 [-x*(5*x^2+6*x+5)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A336623 9.5734 [-x*(5*x^2+6*x+5)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A336624 4.06913 [{-a(n+5)+a(n+4)+1154*a(n+3)-1154*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=15,a(2)=66,a(3)=17391,a(4)=76245} ogf] A336624 7.91711 [-3*x*(5*x^2+17*x+5)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A336624 8.67112 [-3*x*(5*x^2+17*x+5)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A336625 10.059 [x*(x^3+15*x^2-17*x-15)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A336625 5.14646 [{-a(n+5)+a(n+4)+34*a(n+3)-34*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=15,a(2)=32,a(3)=527,a(4)=1104} ogf] A336625 9.22074 [x*(x^3+15*x^2-17*x-15)/(x-1)/(x^2+6*x+1)/(x^2-6*x+1) ogf] A336626 4.2171 [{-a(n+5)+a(n+4)+1154*a(n+3)-1154*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=120,a(2)=528,a(3)=139128,a(4)=609960} ogf] A336626 8.29816 [-24*x*(5*x^2+17*x+5)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A336626 9.07917 [-24*x*(5*x^2+17*x+5)/(x-1)/(x^2-34*x+1)/(x^2+34*x+1) ogf] A336627 12.806 [-(x^2+1)*(x^4-2*x^3-1)/(x-1)^2 ogf] A336627 14.6033 [-(x^2+1)*(x^4-2*x^3-1)/(x-1)^2 ogf] A336627 5.74063 [{-a(n+7)+2*a(n+6)-a(n+5),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=11,a(5)=16,a(6)=20} ogf] A336630 10.8681 [-2*x*(3*x+1)*(x-2)/(x+1)/(x^2-3*x+1) ogf] A336630 5.56242 [-(6523*f(x)+26402)*(f(x)*x^3-2*f(x)*x^2+6*x^3-2*f(x)*x-10*x^2+f(x)-4*x) ogf] A336630 5.65142 [{-a(n+4)+2*a(n+3)+2*a(n+2)-a(n+1),a(0)=0,a(1)=4,a(2)=18,a(3)=38} ogf] A336630 9.67709 [-2*x*(3*x+1)*(x-2)/(x+1)/(x^2-3*x+1) ogf] A336634 9.55845 [KummerM(1/2,1,4*x/(x+1))/(x+1) egf] A336675 5.13015 [{-a(n+5)+a(n+4)+4*a(n+3)-3*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=6} ogf] A336675 8.67365 [-(x^2+x-1)*(x^2-x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A336675 9.4533 [-(x^2+x-1)*(x^2-x-1)/(x^5-3*x^4-3*x^3+4*x^2+x-1) ogf] A336678 5.64214 [{-a(n+6)+6*a(n+4)-9*a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=3,a(4)=6,a(5)=10} ogf] A336678 8.20146 [-(x^5+3*x^4-3*x^3-4*x^2+x+1)/(2*x^2-1)/(x^4-4*x^2+1) ogf] A336678 8.93867 [-(x^5+3*x^4-3*x^3-4*x^2+x+1)/(2*x^2-1)/(x^4-4*x^2+1) ogf] A336705 13.7789 [-(x+1)*(x^3-2*x^2-1)/(x-1)^2 ogf] A336705 15.8587 [-(x+1)*(x^3-2*x^2-1)/(x-1)^2 ogf] A336705 7.00426 [{a(n+5)-2*a(n+4)+a(n+3),a(0)=1,a(1)=3,a(2)=7,a(3)=12,a(4)=16} ogf] A336705 7.18386 [-(56*f(x)-1115)*(x^4+f(x)*x^2-x^3-2*f(x)*x-2*x^2+f(x)-x-1) ogf] A336729 12.7631 [1/6/x*(4*x-1+(16*x^2+4*x+1)^(1/2)) ogf] A336729 13.4121 [-3*f(x)^2*x+4*f(x)*x-f(x)+1 ogf] A336732 7.15062 [-x*(104*x^4+6*x^3-47*x^2+8*x+1)/(4*x-1)/(3*x-1)^2/(2*x-1)^2/(x-1)^4 ogf] A336732 7.74651 [-x*(104*x^4+6*x^3-47*x^2+8*x+1)/(-1+4*x)/(3*x-1)^2/(-1+2*x)^2/(x-1)^4 ogf] A336749 6.32055 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x^9+x^8+x^7+2*x^6+2*x^5+x^4+x^3-x-1) ogf] A336749 6.72507 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x^9+x^8+x^7+2*x^6+2*x^5+x^4+x^3-x-1) ogf] A336766 6.51682 [(x^5+x^4+x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A336767 6.68746 [(x^7+x^6+x^4+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf_with_Euler_transform] A336782 2.16644 [(f(x)*x-f(x)+1)^3 ogf] A336805 3.85205 [{-3*a(n+2)*n^2+3*a(n+1)*n^2-18*a(n+2)*n+12*a(n+1)*n+a(n+3)-28*a(n+2)+12*a(n+1),a(0)=1,a(1)=4,a(2)=49} ogf] A336807 3.48281 [{-4*a(n+2)*n^2+4*a(n+1)*n^2-24*a(n+2)*n+16*a(n+1)*n+a(n+3)-37*a(n+2)+16*a(n+1),a(0)=1,a(1)=5,a(2)=81} ogf] A336808 3.58806 [{-5*a(n+2)*n^2+5*a(n+1)*n^2-30*a(n+2)*n+20*a(n+1)*n+a(n+3)-46*a(n+2)+20*a(n+1),a(0)=1,a(1)=6,a(2)=121} ogf] A336819 13.0532 [(16*x^4-8*x^3-8*x^2-6*x+7)/(2*x-1)/(x-1) ogf] A336819 14.7375 [(16*x^4-8*x^3-8*x^2-6*x+7)/(-1+2*x)/(x-1) ogf] A336819 7.48954 [{-a(n+5)+3*a(n+4)-2*a(n+3),a(0)=7,a(1)=15,a(2)=23,a(3)=31,a(4)=63} ogf] A336819 7.87694 [(815*f(x)-10012)*(-16*x^4+2*f(x)*x^2+8*x^3-3*f(x)*x+8*x^2+f(x)+6*x-7) ogf] A336867 13.4618 [-(x^6-x^5+x^3+x-3)/(x-1)^2 ogf] A336867 15.4938 [-(x^6-x^5+x^3+x-3)/(x-1)^2 ogf] A336867 5.70259 [{a(n+7)-2*a(n+6)+a(n+5),a(0)=3,a(1)=5,a(2)=7,a(3)=8,a(4)=9,a(5)=11,a(6)=12} ogf] A336938 11.8255 [-4*x*(2268*x^12+27*x^6+9*x^3+3*x+1)/(x-1) ogf] A336938 13.3513 [-4*x*(2268*x^12+27*x^6+9*x^3+3*x+1)/(x-1) ogf] A336945 9.21489 [-f(x)^3*x+4*f(x)*x^2+8*x^3-4*f(x)*x-12*x^2+f(x)+6*x-1 ogf] A336972 7.33957 [x^2*(3*x^6+3*x^5+4*x^4+3*x^3+3*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A336972 7.84142 [x^2*(3*x^6+3*x^5+4*x^4+3*x^3+3*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A336973 7.24383 [x^2*(4*x^6+4*x^5+5*x^4+3*x^3+3*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A336973 7.73913 [x^2*(4*x^6+4*x^5+5*x^4+3*x^3+3*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A336974 7.40625 [x^2*(5*x^6+5*x^5+7*x^4+4*x^3+4*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A336974 7.91266 [x^2*(5*x^6+5*x^5+7*x^4+4*x^3+4*x^2+2*x+2)/(x^2+1)^2/(x^2+x+1)^2/(x+1)^3/(x-1)^4 ogf] A337024 14.3631 [-(3*x^2-13*x+16)/(x-1)^3 ogf] A337024 17.3094 [-(3*x^2-13*x+16)/(x-1)^3 ogf] A337024 5.53332 [(10476*f(x)-157241)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)-13*x+16) ogf] A337024 6.30902 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=16,a(1)=35,a(2)=60} ogf] A337080 18.5222 [2*(x^24-x^22+2)/(x-1)^2 ogf] A337080 21.9682 [2*(x^24-x^22+2)/(x-1)^2 ogf] A337099 12.9526 [-(6*x^2-6*x-1)/(x-1)/(10*x^2-1) ogf] A337099 14.8715 [-(6*x^2-6*x-1)/(x-1)/(10*x^2-1) ogf] A337099 6.42449 [-(82155*f(x)+78209)*(10*f(x)*x^3-10*f(x)*x^2-f(x)*x+6*x^2+f(x)-6*x-1) ogf] A337099 7.50525 [{a(n+3)-a(n+2)-10*a(n+1)+10*a(n),a(0)=1,a(1)=7,a(2)=11} ogf] A337120 12.8685 [-(x^2+1)*(x^6-2*x^3-1)/(x-1)^2 ogf] A337120 14.6746 [-(x^2+1)*(x^6-2*x^3-1)/(x-1)^2 ogf] A337130 14.3531 [x^3*(2*x^3-9*x^2+15*x-11)/(x-1)^5 ogf] A337130 16.7962 [x^3*(2*x^3-9*x^2+15*x-11)/(x-1)^5 ogf] A337130 3.9471 [{a(n+7)-5*a(n+6)+10*a(n+5)-10*a(n+4)+5*a(n+3)-a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=11,a(4)=40,a(5)=99,a(6)=203} ogf] A337139 4.17794 [-(x^12+x^10-x^9-x^8-x^7-x^6-x^5-x^4-2*x^3-2*x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A337139 4.34934 [-(x^12+x^10-x^9-x^8-x^7-x^6-x^5-x^4-2*x^3-2*x^2-x-2)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A337141 3.83217 [(x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+6)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A337141 3.96663 [(x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+7*x^5+7*x^4+7*x^3+7*x^2+7*x+6)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A337142 15.6986 [3*x^4*(x+1)^2/(x^2+x-1)^4 ogf] A337142 18.7617 [3*x^4*(x+1)^2/(x^2+x-1)^4 ogf] A337142 4.00641 [{a(n+4)*n-2*a(n+2)*n-a(n+1)*n-6*a(n+3)-6*a(n+2)-3*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=3} ogf] A337154 3.46915 [{4*a(n+2)*n^2+4*a(n+1)*n^2+24*a(n+2)*n+16*a(n+1)*n-a(n+3)+35*a(n+2)+16*a(n+1),a(0)=1,a(1)=3,a(2)=49} ogf] A337155 3.59207 [{5*a(n+2)*n^2+5*a(n+1)*n^2+30*a(n+2)*n+20*a(n+1)*n+44*a(n+2)+20*a(n+1)-a(n+3),a(0)=1,a(1)=4,a(2)=81} ogf] A337167 4.07656 [{a(n+3)*n-14*a(n+2)*n+13*a(n+1)*n+4*a(n+3)-36*a(n+2)+26*a(n+1),a(0)=1,a(1)=4,a(2)=25} ogf] A337167 9.3708 [3*f(x)^2*x^2-3*f(x)^2*x-f(x)*x+f(x)-1 ogf] A337168 4.21914 [{a(n+3)*n-6*a(n+2)*n-7*a(n+1)*n+4*a(n+3)-14*a(n+2)-14*a(n+1),a(0)=1,a(1)=1,a(2)=5} ogf] A337168 9.53416 [-2*f(x)^2*x^2-2*f(x)^2*x+f(x)*x+f(x)-1 ogf] A337169 4.15632 [{-a(n+3)*n+10*a(n+2)*n+11*a(n+1)*n-4*a(n+3)+24*a(n+2)+22*a(n+1),a(0)=1,a(1)=2,a(2)=13} ogf] A337169 9.55413 [-3*f(x)^2*x^2-3*f(x)^2*x+f(x)*x+f(x)-1 ogf] A337173 9.90034 [x*(4*x^6+5*x^5+23*x^4+12*x^3+16*x^2+3*x+1)/(x+1)^5/(x-1)^6 ogf] A337252 21.7539 [-2*(2*x^6-2*x^4+3*x-4)/(x-1)^2 ogf] A337252 6.61436 [{a(n+7)-2*a(n+6)+a(n+5),a(0)=8,a(1)=10,a(2)=12,a(3)=14,a(4)=20,a(5)=26,a(6)=28} ogf] A337262 2.94938 [-(32*x^8-48*x^7+44*x^6-12*x^5-46*x^4+33*x^3+9*x^2-11*x+2)/(x-1)/(2*x-1)/(16*x^7-16*x^6+16*x^5+8*x^4-20*x^3+5*x-1) ogf] A337281 17.8448 [x^2*(x^3-x+2)/(x^3+x^2+x-1)^2 ogf] A337281 5.40441 [{-a(n+6)+2*a(n+5)+a(n+4)-3*a(n+2)-2*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=3,a(4)=8,a(5)=20} ogf] A337282 14.3922 [-x^2*(x^3-x+2)/(x-1)/(x^3+x^2+x-1)^2 ogf] A337283 5.44773 [-x^2*(x+1)*(x^8+x^7+x^6+7*x^5+9*x^4+3*x^3+7*x^2-7*x+2)/(x-1)/(x^3+x^2+3*x-1)^2/(x^3-x^2-x-1)^2 ogf] A337284 6.18106 [-x*(2*x^9+3*x^8+4*x^7+2*x^6+8*x^5+12*x^3+2*x^2-2*x+1)/(x-1)/(x^3+x^2+3*x-1)^2/(x^3-x^2-x-1)^2 ogf] A337291 2.84071 [{-27*a(n+2)*n^3+256*a(n+1)*n^3-216*a(n+2)*n^2+1664*a(n+1)*n^2-573*a(n+2)*n+3568*a(n+1)*n-504*a(n+2)+2520*a(n+1),a(0)=4,a(1)=12} ogf] A337313 16.3683 [-648*x^2/(x-1)/(3*x-1)/(2*x-1) ogf] A337313 7.32677 [{a(n+3)-6*a(n+2)+11*a(n+1)-6*a(n),a(0)=0,a(1)=0,a(2)=648} ogf] A337313 9.15847 [6*f(x)*x^3-11*f(x)*x^2+6*f(x)*x+648*x^2-f(x) ogf] A337314 12.5942 [4536*x^3/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A337314 5.47575 [{a(n+4)-10*a(n+3)+35*a(n+2)-50*a(n+1)+24*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=4536} ogf] A337314 7.12881 [-24*f(x)*x^4+50*f(x)*x^3-35*f(x)*x^2+4536*x^3+10*f(x)*x-f(x) ogf] A337348 14.5711 [-2*x/(x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf] A337348 6.97942 [{a(n+4)-5*a(n+3)+20*a(n+1)-16*a(n),a(0)=0,a(1)=2,a(2)=10,a(3)=50} ogf] A337348 8.0636 [(105*f(x)-8)*(16*f(x)*x^4-20*f(x)*x^3+5*f(x)*x-f(x)+2*x) ogf] A337392 12.1567 [-5*(4*x^3+5*x+1)/(2*x+1)/(2*x-1)/(x^2+1) ogf] A337392 7.5256 [-(1639*f(x)-4720)*(4*f(x)*x^4+3*f(x)*x^2+20*x^3-f(x)+25*x+5) ogf] A337392 7.82364 [{a(n+4)-3*a(n+2)-4*a(n),a(0)=5,a(1)=25,a(2)=15,a(3)=95} ogf] A337416 6.16404 [16*(261*x^3-1034*x^2-347*x-140)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A337417 4.89285 [2*(172305*x^4+43284*x^3+464086*x^2+93364*x+8161)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(63*x-1)/(7*x-1) ogf] A337418 10.6255 [-2*(21*x^2-31*x+16)/(x-1)/(3*x-1)/(7*x-1) ogf] A337418 5.23101 [(81224956*f(x)+4690833)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+42*x^2-f(x)-62*x+32) ogf] A337418 6.01798 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=32,a(1)=290,a(2)=2240} ogf] A337483 10.7499 [x^3*(x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A337483 4.28881 [{a(n+7)-a(n+6)-a(n+5)+a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=2,a(5)=4,a(6)=5} ogf] A337484 10.659 [x^3*(x^3-2*x^2-2*x-1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A337484 4.25254 [{a(n+7)-a(n+6)-a(n+5)+a(n+3)+a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=1,a(4)=3,a(5)=6,a(6)=8} ogf] A337492 13.962 [-1/(2*x^5+2*x^4+4*x^3+x-1) ogf] A337492 3.89415 [{-a(n+5)+a(n+4)+4*a(n+2)+2*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5,a(4)=11} ogf] A337499 4.06243 [-(25*f(x)+29)*(4*f(x)^2*x^4-f(x)^2*x^2+8*f(x)*x^3+8*f(x)*x^2-2*f(x)*x+5*x^2-2*f(x)+6*x+2) ogf] A337512 8.97619 [-f(x)^3*x^3-f(x)^2*x^2-f(x)*x-f(x)+1 ogf] A337519 16.1547 [(x^3+2*x^2-7*x-4)/(x+1)/(x-1)^3 ogf] A337519 6.68907 [-(216*f(x)-3679)*(f(x)*x^4-2*f(x)*x^3-x^3+2*f(x)*x-2*x^2-f(x)+7*x+4) ogf] A337519 7.19496 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=4,a(1)=15,a(2)=28,a(3)=47} ogf] A337589 11.695 [-f(x)^2*x^2+f(x)*x^3+x^2-f(x)+1 ogf] A337631 16.1427 [-x*(2*x+1)/(x-1)^2/(2*x-1)^3 ogf] A337631 4.27306 [{a(n+5)-8*a(n+4)+25*a(n+3)-38*a(n+2)+28*a(n+1)-8*a(n),a(0)=0,a(1)=1,a(2)=10,a(3)=55,a(4)=228} ogf] A337654 8.51529 [x*(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-2*x^3+x^2-2*x+1) ogf] A337675 2.07309 [-(768*x^7-448*x^6-208*x^5+84*x^4+2*x^3+2*x^2+3*x-1)/(x-1)/(2*x+1)/(2*x-1)/(4*x-1)/(64*x^4-4*x^2-1) ogf] A337749 18.3426 [(x-1)^2/(x^2+1) lgdegf] A337749 3.20395 [{-a(n+2)*n^2+a(n+1)*n^2-7*a(n+2)*n+5*a(n+1)*n-a(n+4)+a(n+3)-12*a(n+2)+6*a(n+1),a(0)=1,a(1)=1,a(2)=-1,a(3)=-5} ogf] A337750 10.7898 [(x^3-3*x^2+1)/(x+1)/(x^2-x+1) lgdegf] A337750 3.63221 [{a(n+5)*n+a(n+2)*n+5*a(n+5)-a(n+4)+5*a(n+2)-a(n+1),a(0)=1,a(1)=1,a(2)=1/2,a(3)=-5/6,a(4)=-23/24} egf] A337751 13.8685 [(x^4-4*x^3+1)/(x^4+1) lgdegf] A337751 3.24848 [{a(n+2)*n+a(n+6)*n-a(n+5)+6*a(n+2)-a(n+1)+6*a(n+6),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=-23/24,a(5)=-119/120} egf] A337753 11.6366 [-(5*x^2-4*x+2)/(5*x-1)/(x^2-x+1) ogf] A337753 13.2698 [-(5*x^2-4*x+2)/(5*x-1)/(x^2-x+1) ogf] A337753 6.1494 [-(24794*f(x)-23085)*(5*f(x)*x^3-6*f(x)*x^2+6*f(x)*x+5*x^2-f(x)-4*x+2) ogf] A337753 7.20359 [{a(n+3)-6*a(n+2)+6*a(n+1)-5*a(n),a(0)=2,a(1)=8,a(2)=41} ogf] A337843 8.61302 [-(x^2-x+1)*(x^9-x^7-x^6+x^4+x^3-x-1)/(x-1)^2 ogf] A337843 9.18091 [-(x^32-x^29-2*x^22+x^10+x^9+2)/(x^22-x^10-1) ogf_with_Euler_transform] A337843 9.38722 [-(x^2-x+1)*(x^9-x^7-x^6+x^4+x^3-x-1)/(x-1)^2 ogf] A337855 10.2767 [{-a(n+3)+10*a(n+2),a(0)=0,a(1)=2,a(2)=18} ogf] A337855 11.6369 [-f(x)*(10*f(x)*x-2*x^2-f(x)+2*x) ogf] A337855 18.8406 [2*x*(x-1)/(10*x-1) ogf] A337855 23.2737 [2*x*(x-1)/(10*x-1) ogf] A337879 11.1801 [-(x^5+x^3+x^2+x+1)/(x^6+x^3-1) ogf] A337879 12.5561 [-(x^5+x^3+x^2+x+1)/(x^6+x^3-1) ogf] A337879 6.68975 [{-a(n+6)+a(n+3)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=2,a(4)=1,a(5)=2} ogf] A337895 17.4825 [(x^4+1)/(x-1)^6 ogf] A337895 22.3053 [(x^4+1)/(x-1)^6 ogf] A337895 3.18647 [{a(n+6)-6*a(n+5)+15*a(n+4)-20*a(n+3)+15*a(n+2)-6*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=21,a(3)=56,a(4)=127,a(5)=258} ogf] A337896 7.37622 [-x*(x+1)*(x^4+56*x^3+306*x^2+56*x+1)/(x-1)^9 ogf] A337896 8.18458 [-x*(x+1)*(x^4+56*x^3+306*x^2+56*x+1)/(x-1)^9 ogf] A337897 8.54316 [-(x+1)*(x^4+13*x^3+62*x^2+13*x+1)/(x-1)^7 ogf] A337897 9.54823 [-(x+1)*(x^4+13*x^3+62*x^2+13*x+1)/(x-1)^7 ogf] A337898 15.2244 [(10*x^2+4*x+1)/(x-1)^6 ogf] A337898 18.8066 [(10*x^2+4*x+1)/(x-1)^6 ogf] A337898 3.10401 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=55,a(3)=200,a(4)=560,a(5)=1316} ogf] A337899 11.4159 [-x*(x+1)*(x^2+13*x+1)/(x-1)^7 ogf] A337899 9.94287 [-x*(x+1)*(x^2+13*x+1)/(x-1)^7 ogf] A337902 2.74022 [{-a(n+2)*n^3+16*a(n+1)*n^3-11*a(n+2)*n^2+160*a(n+1)*n^2-38*a(n+2)*n+532*a(n+1)*n-40*a(n+2)+588*a(n+1),a(0)=3,a(1)=50} ogf] A337905 7.47966 [-1/6*(HeunG(8/9,2/3,1,1,1,1,8*x/(6*x-1))+6*x-1)/(6*x-1)/x^2 ogf] A337922 6.06827 [-1176470588235294*(5*x^4+4*x^3+3*x^2+2*x+1)/(10000000000000001*x^5-1) ogf] A337922 6.61993 [-1176470588235294*(5*x^4+4*x^3+3*x^2+2*x+1)/(10000000000000001*x^5-1) ogf] A337928 11.4521 [(x^2+3*x-1)/(x-1)/(x^2-7*x+1) ogf] A337928 13.1807 [(x^2+3*x-1)/(x-1)/(x^2-7*x+1) ogf] A337928 5.82146 [-(1317*f(x)+307)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)-3*x+1) ogf] A337928 6.6531 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=31} ogf] A337929 11.8574 [(x^2-3*x-1)/(x-1)/(x^2-7*x+1) ogf] A337929 13.6472 [(x^2-3*x-1)/(x-1)/(x^2-7*x+1) ogf] A337929 6.02753 [-(9069*f(x)-254)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)+3*x+1) ogf] A337929 6.82362 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=11,a(2)=79} ogf] A337934 10.6198 [-2*(x^7-x^6+x^5-x^4+x^3-x^2+14*x-15)/(x-1)^2 ogf] A337934 11.6952 [-2*(x^7-x^6+x^5-x^4+x^3-x^2+14*x-15)/(x-1)^2 ogf] A337941 3.11224 [-(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A337956 7.49763 [-(x^6+21*x^5+102*x^4+52*x^3+27*x^2+6*x+1)/(x-1)^9 ogf] A337956 8.30818 [-(x^6+21*x^5+102*x^4+52*x^3+27*x^2+6*x+1)/(x-1)^9 ogf] A337957 8.02306 [-(x^6+6*x^5+27*x^4+37*x^3+27*x^2+6*x+1)/(x-1)^9 ogf] A337957 8.91451 [-(x^6+6*x^5+27*x^4+37*x^3+27*x^2+6*x+1)/(x-1)^9 ogf] A337958 10.5153 [-(x^5-8*x^4-56*x^3-34*x^2-7*x-1)/(x-1)^8 ogf] A337958 9.33047 [-(x^5-8*x^4-56*x^3-34*x^2-7*x-1)/(x-1)^8 ogf] A337962 5.96571 [-(x+1)*(x^6+58*x^5+1025*x^4+2872*x^3+1025*x^2+58*x+1)/(x-1)^9 ogf] A337962 6.48447 [-(x+1)*(x^6+58*x^5+1025*x^4+2872*x^3+1025*x^2+58*x+1)/(x-1)^9 ogf] A337976 5.61561 [-x^7*(x^4+x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A337976 6.04347 [-x^7*(x^4+x^3+2*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A337985 4.70304 [-x*(x^6+x^3+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A337985 5.06136 [-x*(x^6+x^3+1)/(x-1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1) ogf] A338024 2.41629 [-(4*x^10-4*x^9+4*x^8-8*x^6-8*x^4-6*x^3-8*x^2-5*x-1)/(x-1)/(x+1)/(2*x^3+x-1) ogf] A338024 2.5801 [-(4*x^10-4*x^9+4*x^8-8*x^6-8*x^4-6*x^3-8*x^2-5*x-1)/(x-1)/(x+1)/(2*x^3+x-1) ogf] A338041 13.9187 [(3*x^3-3*x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A338041 16.0196 [(3*x^3-3*x^2-x-1)/(x+1)^2/(x-1)^3 ogf] A338041 5.1457 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=7,a(3)=6,a(4)=15} ogf] A338042 12.1813 [-2*(2*x^4-x^3-x^2+1)/(x+1)^2/(x-1)^3 ogf] A338042 13.7789 [-2*(2*x^4-x^3-x^2+1)/(x+1)^2/(x-1)^3 ogf] A338042 5.12507 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=4,a(3)=2,a(4)=8} ogf] A338043 11.6937 [-(3*x^4-5*x^3+3*x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A338043 13.133 [-(3*x^4-5*x^3+3*x^2+x+2)/(x+1)^2/(x-1)^3 ogf] A338043 5.14243 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=10,a(3)=7,a(4)=22} ogf] A338062 21.1705 [(3*x+1)/(x+1)/(x-1)^2 ogf] A338062 25.7479 [(3*x+1)/(x+1)/(x-1)^2 ogf] A338062 8.98749 [(96*f(x)+569)*(f(x)*x^3-f(x)*x^2-f(x)*x+f(x)-3*x-1) ogf] A338062 9.16033 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=5} ogf] A338064 17.2154 [(x^2+x+2)/(x+1)/(x-1)^2 ogf] A338064 20.276 [(x^2+x+2)/(x+1)/(x-1)^2 ogf] A338064 8.00367 [(32*f(x)+251)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)-x-2) ogf] A338064 8.77325 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=2,a(1)=3,a(2)=6} ogf] A338075 13.5771 [(x+1)*LegendreP(-1/3,1-54*x) ogf] A338076 12.6907 [hypergeom([1/3,2/3],[1],162*x) ogf] A338076 3.69842 [{a(n+2)*n^2-162*a(n+1)*n^2+4*a(n+2)*n-486*a(n+1)*n+4*a(n+2)-360*a(n+1),a(0)=1,a(1)=36} ogf] A338089 2.87693 [-(4*x^8-4*x^6-4*x^5-4*x^4-6*x^3-8*x^2-7*x-3)/(x-1)/(x+1)/(2*x^3+x-1) ogf] A338100 12.1781 [{a(n+2)-12*a(n+1),a(0)=1,a(1)=16} ogf] A338100 17.4729 [-12*f(x)*x+f(x)-4*x-1 ogf] A338100 26.7918 [-(1+4*x)/(12*x-1) ogf] A338109 17.5936 [-(4*x^3-55*x^2-56*x-1)/(x-1)^4 ogf] A338109 5.07301 [(453560407848*f(x)+23493378225847)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-55*x^2+f(x)-56*x-1) ogf] A338109 5.94892 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=60,a(2)=289,a(3)=796} ogf] A338112 17.5662 [(x^3-2*x^2+x+1)/(x-1)^2 egf] A338112 9.11662 [f(x)*x^2-x^3-2*f(x)*x+2*x^2+f(x)-x-1 egf] A338153 4.10651 [(10801516804795*f(x)+124256710191208)*(56*f(x)*x^4-106*f(x)*x^3+63*f(x)*x^2+784*x^3-14*f(x)*x-1484*x^2+f(x)+994*x-204) ogf] A338153 4.77751 [{-a(n+4)+14*a(n+3)-63*a(n+2)+106*a(n+1)-56*a(n),a(0)=204,a(1)=1862,a(2)=14700,a(3)=109334} ogf] A338153 8.21302 [-2*(392*x^3-742*x^2+497*x-102)/(x-1)/(4*x-1)/(2*x-1)/(7*x-1) ogf] A338154 3.66114 [-(469754057344*f(x)+8228520359847)*(81*f(x)*x^4-153*f(x)*x^3+88*f(x)*x^2+1944*x^3-17*f(x)*x-3672*x^2+f(x)+2274*x-426) ogf] A338154 4.30722 [{-a(n+4)+17*a(n+3)-88*a(n+2)+153*a(n+1)-81*a(n),a(0)=426,a(1)=4968,a(2)=50640,a(3)=486930} ogf] A338154 7.84529 [-6*(324*x^3-612*x^2+379*x-71)/(x-1)/(9*x-1)/(9*x^2-7*x+1) ogf] A338186 16.4014 [2*(6*x^2+3*x-1)/(9*x-1)/(x-1)^2 ogf] A338186 6.18208 [-(1586336*f(x)+1533417)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x-12*x^2-f(x)-6*x+2) ogf] A338186 7.37313 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=2,a(1)=16,a(2)=126} ogf] A338192 10.0595 [-x*(2*x^3+2*x^2-1)/(x^2+x-1)/(x^3+x^2+x-1) ogf] A338192 4.99889 [{a(n+5)-2*a(n+4)-a(n+3)+a(n+2)+2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=5} ogf] A338192 5.2569 [-(f(x)-4)*(f(x)*x^5+2*f(x)*x^4+f(x)*x^3+2*x^4-f(x)*x^2+2*x^3-2*f(x)*x+f(x)-x) ogf] A338200 7.86201 [-x^2*(x^5+x^4-x^2-x-1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A338206 8.94513 [x*(x^2+1)*(2*x^4+x^3+2*x^2+x+2)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A338225 14.7385 [-(3*x^2-7*x-2)/(x+1)/(x^2-3*x+1) ogf] A338225 6.94294 [(119667*f(x)+124525)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+3*x^2+f(x)-7*x-2) ogf] A338225 7.92543 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=2,a(1)=11,a(2)=23} ogf] A338226 23.6398 [9*x/(10*x-1)^2/(x-1)^2 ogf] A338226 5.54313 [{-a(n+4)+22*a(n+3)-141*a(n+2)+220*a(n+1)-100*a(n),a(0)=0,a(1)=9,a(2)=198,a(3)=3087} ogf] A338226 5.86682 [-(356653*f(x)+52650)*(100*f(x)*x^4-220*f(x)*x^3+141*f(x)*x^2-22*f(x)*x+f(x)-9*x) ogf] A338229 13.8784 [x*(5*x^4-8*x^3+7*x^2-4*x+1)/(2*x-1)^3/(x-1)^3 ogf] A338229 4.48805 [{a(n+6)-9*a(n+5)+33*a(n+4)-63*a(n+3)+66*a(n+2)-36*a(n+1)+8*a(n),a(0)=0,a(1)=1,a(2)=5,a(3)=19,a(4)=61,a(5)=176} ogf] A338230 19.5909 [x^2*(3*x^2-1)/(2*x-1)^2/(x-1)^3 ogf] A338230 5.31078 [{-a(n+5)+7*a(n+4)-19*a(n+3)+25*a(n+2)-16*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=7,a(4)=27} ogf] A338232 12.6071 [-x^2*(11*x^4-11*x^3+5*x^2-3*x+1)/(2*x-1)^3/(x-1)^4 ogf] A338284 11.7484 [-(x^5-x^4-x^3+2*x^2+2*x+7)/(x-1)^3/(x+1)^3 ogf] A338284 5.99742 [{a(n+6)-3*a(n+4)+3*a(n+2)-a(n),a(0)=7,a(1)=2,a(2)=23,a(3)=5,a(4)=47,a(5)=10} ogf] A338321 4.6799 [{a(n+6)-a(n+5)-a(n+4)+a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=4,a(3)=5,a(4)=6,a(5)=9} ogf] A338321 9.69015 [-(2*x^5-2*x^4-2*x^3+2*x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A338329 9.12122 [-(2*x^7-2*x^5-x^4+2*x^3-2*x^2-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A338426 5.43928 [(6*x^6-4*x^5-9*x^4+15*x^3-8*x^2+5*x-1)/(x-1)/(6*x^7-4*x^6-30*x^5-2*x^4+27*x^3-12*x^2-6*x+1) ogf] A338429 17.2148 [-4*(x^2+1)/(x+1)^3/(x-1)^5 ogf] A338429 3.6714 [{a(n+5)*n-a(n+1)*n+5*a(n+5)-2*a(n+4)-10*a(n+3)-2*a(n+2)-7*a(n+1),a(0)=4,a(1)=8,a(2)=28,a(3)=48,a(4)=104} ogf] A338532 4.15888 [-(5278803024775392*f(x)-969320100422105)*(f(x)*x^4-95*f(x)*x^3+384*f(x)*x^2+15*x^3-95*f(x)*x+111*x^2+f(x)-97*x-1) ogf] A338532 4.93521 [{-a(n+4)+95*a(n+3)-384*a(n+2)+95*a(n+1)-a(n),a(0)=1,a(1)=192,a(2)=17745,a(3)=1612127} ogf] A338532 8.70919 [-(15*x^3+111*x^2-97*x-1)/(x^4-95*x^3+384*x^2-95*x+1) ogf] A338532 9.61404 [-(15*x^3+111*x^2-97*x-1)/(x^4-95*x^3+384*x^2-95*x+1) ogf] A338544 16.709 [-x^3*(x+4)/(x+1)^2/(x-1)^3 ogf] A338544 19.6795 [-x^3*(x+4)/(x+1)^2/(x-1)^3 ogf] A338544 5.50048 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=4,a(4)=5} ogf] A338588 11.6756 [-(x^3-38*x^2-69*x-2)/(x-1)^4 ogf] A338588 13.6629 [-(x^3-38*x^2-69*x-2)/(x-1)^4 ogf] A338588 3.9396 [(502475654664*f(x)+25423479158545)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-38*x^2+f(x)-69*x-2) ogf] A338588 4.61982 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=2,a(1)=77,a(2)=334,a(3)=881} ogf] A338645 15.1515 [-(x^2+3*x+3)/(x-1)^3/(x+1)^3 ogf_with_Euler_transform] A338709 7.83914 [-3*(37*x^4-89*x^3+53*x^2-15*x-2)/(3*x^2-6*x+1)/(3*x-1)^2/(x-1)^2 ogf] A338709 8.54378 [-3*(37*x^4-89*x^3+53*x^2-15*x-2)/(3*x^2-6*x+1)/(3*x-1)^2/(x-1)^2 ogf] A338712 10.321 [(9*x^3+7*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(10*x^4-1) ogf] A338712 11.2811 [(9*x^3+7*x^2+3*x+1)/(x-1)/(x+1)/(x^2+1)/(10*x^4-1) ogf] A338717 11.1171 [-(2*x^2+7*x-1)/(x+1)/(2*x^2-11*x+1) ogf] A338717 12.6505 [-(2*x^2+7*x-1)/(x+1)/(2*x^2-11*x+1) ogf] A338717 6.21805 [(7978*f(x)-3309)*(2*f(x)*x^3-9*f(x)*x^2-10*f(x)*x+2*x^2+f(x)+7*x-1) ogf] A338717 6.92198 [{-a(n+3)+10*a(n+2)+9*a(n+1)-2*a(n),a(0)=1,a(1)=3,a(2)=37} ogf] A338754 4.54444 [11*x*(91*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A338760 14.59 [(x^7-3*x^6+2*x^5+2*x^2-2*x+1)/(x-1)^4 ogf] A338760 4.28676 [{a(n+8)-4*a(n+7)+6*a(n+6)-4*a(n+5)+a(n+4),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=15,a(5)=28,a(6)=47,a(7)=73} ogf] A338761 9.64802 [(x^8-4*x^7+3*x^6+2*x^5-2*x^4+2*x^3-x+1)/(x+1)/(x-1)^4 ogf] A338795 14.5995 [-(x^4+86*x^3+258*x^2+86*x+1)/(x-1)^5 ogf] A338795 4.75525 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=91,a(2)=703,a(3)=2701,a(4)=7381} ogf] A338824 5.31068 [{a(n+6)-a(n+4)-a(n+2)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=0,a(5)=4} ogf] A338824 9.96662 [x^2*(2*x^3-x^2+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A338839 5.90217 [-2*x*(59*x^23+59*x^22+2*x^21+7*x^20+9*x^19+4*x^18+9*x^13+9*x^12+2*x^11+7*x^10+9*x^9+4*x^8+8*x^3+9*x^2+3*x+1)/(x-1)/(x+1)^2 ogf] A338882 6.09364 [(8*x^8+7*x^7+6*x^6+5*x^5+4*x^4+3*x^3+2*x^2+x+1)*(x^18-x^9+1)/(x-1)^2/(x^2+x+1)^2/(x^6+x^3+1)^2 ogf] A338996 17.6902 [-x*(2*x+5)/(x-1)^5 ogf] A338996 3.45431 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=27,a(3)=85,a(4)=205} ogf] A339029 11.1776 [-(33*x^6+4*x^5-33*x^4-8*x^3+20*x^2-4*x-1)/(2*x-1)^4 ogf] A339029 4.16986 [{-a(n+7)+8*a(n+6)-24*a(n+5)+32*a(n+4)-16*a(n+3),a(0)=1,a(1)=12,a(2)=52,a(3)=168,a(4)=497,a(5)=1412,a(6)=3879} ogf] A339032 11.1294 [(4*x^5-9*x^4+17*x^3-15*x^2+6*x-1)/(2*x-1)^2/(x-1)^3 ogf] A339032 4.15888 [{-a(n+6)+7*a(n+5)-19*a(n+4)+25*a(n+3)-16*a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=10,a(4)=31,a(5)=86} ogf] A339048 19.2285 [-(11*x^2-16*x+9)/(x-1)^3 ogf] A339048 6.52098 [(5*f(x)-117)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+11*x^2-f(x)-16*x+9) ogf] A339048 7.07465 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=9,a(1)=11,a(2)=17} ogf] A339053 18.97 [-(38*x^10+4*x^4+3)/(x-1) ogf] A339074 4.95733 [-(2862*x^7-11709*x^6+14097*x^5+984*x^4-14330*x^3+10853*x^2-3149*x+312)/(2*x-1)/(x+1)/(3*x^2-6*x+1)/(3*x-1)^2/(x-1)^2 ogf] A339124 11.2501 [(x+1)*(2*x^3-2*x^2-1)/(2*x^4-2*x^2+3*x-1) ogf] A339124 5.26084 [{a(n+5)-3*a(n+4)+2*a(n+3)-2*a(n+1),a(0)=1,a(1)=4,a(2)=12,a(3)=28,a(4)=60} ogf] A339124 6.14502 [(1+3*f(x))*(2*f(x)*x^4-2*x^4-2*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+x+1) ogf] A339136 20.3996 [-(9*x+1)/(3*x-1)/(x-1)^2 ogf] A339136 7.40162 [(308620*f(x)-937143)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)+9*x+1) ogf] A339136 7.89041 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=1,a(1)=14,a(2)=63} ogf] A339137 4.22617 [{-a(n+5)+10*a(n+4)-26*a(n+3)+24*a(n+2)-5*a(n+1)-2*a(n),a(0)=1,a(1)=28,a(2)=225,a(3)=1540,a(4)=10217} ogf] A339137 9.97376 [-(6*x^3+29*x^2-18*x-1)/(2*x^3+9*x^2-8*x+1)/(x-1)^2 ogf] A339196 20.7944 [-(2*x+7)/(2*x-1)/(x-1)^2 ogf] A339196 7.47869 [(303597*f(x)-1666604)*(2*f(x)*x^3-5*f(x)*x^2+4*f(x)*x-f(x)+2*x+7) ogf] A339196 8.04312 [{a(n+3)-4*a(n+2)+5*a(n+1)-2*a(n),a(0)=7,a(1)=30,a(2)=85} ogf] A339197 7.97811 [-(11*x^4+49*x^3+69*x^2+48*x+30)/(6*x^4+5*x^3+14*x^2+8*x-1)/(x-1)^2 ogf] A339200 11.8103 [2*(3*x^4+4*x^3+2*x^2-2)/(6*x^4+8*x^3+15*x^2+4*x-1) ogf] A339200 5.36175 [{a(n+5)-4*a(n+4)-15*a(n+3)-8*a(n+2)-6*a(n+1),a(0)=4,a(1)=16,a(2)=120,a(3)=744,a(4)=4922} ogf] A339200 5.42835 [-(392680621*f(x)+64011260)*(6*f(x)*x^4+8*f(x)*x^3-6*x^4+15*f(x)*x^2-8*x^3+4*f(x)*x-4*x^2-f(x)+4) ogf] A339214 3.5501 [(4*x^12+6*x^11+18*x^10+7*x^9+18*x^8+7*x^7+18*x^6+7*x^5+18*x^4+7*x^3+7*x^2+3*x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A339222 7.46466 [x^3*(x^8-x^5-x^4-2*x^2-1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A339240 3.19421 [{-a(n+3)*n^2+8*a(n+2)*n^2-16*a(n+1)*n^2-3*a(n+3)*n+26*a(n+2)*n-56*a(n+1)*n-2*a(n+3)+18*a(n+2)-48*a(n+1),a(0)=0,a(1)=2,a(2)=14} ogf] A339240 4.93651 [256*f(x)^2*x^4-256*f(x)^2*x^3+96*f(x)^2*x^2-32*f(x)*x^3-16*f(x)^2*x+16*f(x)*x^2+4*x^3+f(x)^2-2*f(x)*x ogf] A339252 19.611 [-(x-1)*(x+1)/(2*x-1)^2 ogf] A339252 8.46369 [{-a(n+3)+4*a(n+2)-4*a(n+1),a(0)=1,a(1)=4,a(2)=11} ogf] A339252 9.03428 [(3*f(x)+5)*(4*f(x)*x^2-4*f(x)*x+x^2+f(x)-1) ogf] A339254 14.8883 [-(5*x^4+2*x^3-6*x^2+x+1)/(2*x-1)^3 ogf] A339254 5.5963 [-(593649*f(x)+54436)*(8*f(x)*x^3+5*x^4-12*f(x)*x^2+2*x^3+6*f(x)*x-6*x^2-f(x)+x+1) ogf] A339254 5.5963 [{-a(n+5)+6*a(n+4)-12*a(n+3)+8*a(n+2),a(0)=1,a(1)=7,a(2)=24,a(3)=70,a(4)=193} ogf] A339265 13.8853 [(x^2+x+1)/(x-1)/(x+1) ogf_with_Euler_transform] A339267 10.7161 [-(x^6-x^4-3*x^3+2*x^2+x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A339276 18.8206 [-(x^39+x^5+1)/(x-1) ogf] A339355 19.5101 [8*(x^2+1)/(x+1)^4/(x-1)^6 ogf] A339355 4.12185 [{a(n+5)*n-a(n+1)*n+5*a(n+5)-2*a(n+4)-12*a(n+3)-2*a(n+2)-9*a(n+1),a(0)=8,a(1)=16,a(2)=64,a(3)=112,a(4)=272} ogf] A339356 18.8396 [-16*(x^2+1)/(x+1)^5/(x-1)^7 ogf] A339356 4.01213 [{a(n+5)*n-a(n+1)*n+5*a(n+5)-2*a(n+4)-14*a(n+3)-2*a(n+2)-11*a(n+1),a(0)=16,a(1)=32,a(2)=144,a(3)=256,a(4)=688} ogf] A339358 18.0918 [32*(x^2+1)/(x+1)^6/(x-1)^8 ogf] A339358 3.83512 [{a(n+5)*n-a(n+1)*n+5*a(n+5)-2*a(n+4)-16*a(n+3)-2*a(n+2)-13*a(n+1),a(0)=32,a(1)=64,a(2)=320,a(3)=576,a(4)=1696} ogf] A339404 4.14795 [-x*(x+1)*(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)/(x-1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x^8-x^4+1) ogf_with_Euler_transform] A339411 5.18187 [{-4*a(n+1)*n^3-24*a(n+1)*n^2-47*a(n+1)*n+3*a(n+2)-30*a(n+1),a(0)=1,a(1)=1} ogf] A339420 4.67291 [-(6*x^28-4*x^26-6*x^21+6*x^14-3*x^9-4*x^7+8)/(6*x^28+4*x^26-3*x^25+2*x^23+6*x^21-6*x^18+6*x^16-6*x^14-3*x^11+15*x^9+4*x^7+8*x^2-8) ogf] A339483 17.5397 [-3*x*(x+3)*(3*x+1)/(x-1)^5 ogf] A339483 4.64287 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=75,a(3)=294,a(4)=810} ogf] A339486 12.6967 [-(x^5+9*x^4+12*x^3+8*x^2+x+1)/(x-1) ogf] A339486 6.78617 [{a(n+6)-a(n+5),a(0)=1,a(1)=2,a(2)=10,a(3)=22,a(4)=31,a(5)=32} ogf] A339487 15.5334 [8/(x-1)/(15*x-1)/(3*x-1)/(5*x-1) ogf] A339487 5.59203 [{-a(n+4)+24*a(n+3)-158*a(n+2)+360*a(n+1)-225*a(n),a(0)=8,a(1)=192,a(2)=3344,a(3)=52800} ogf] A339487 6.3068 [(129971*f(x)+22680)*(225*f(x)*x^4-360*f(x)*x^3+158*f(x)*x^2-24*f(x)*x+f(x)-8) ogf] A339488 14.9593 [9*x*(x+1)*(x^2-6*x+1)/(x-1)^5 ogf] A339488 4.7193 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=-9,a(2)=0,a(3)=135,a(4)=576} ogf] A339493 6.0717 [-x^2*(x^7+4*x^6+5*x^5+3*x^4+3*x^3+2*x^2-3*x-4)/(x^2+x-1)/(x^5+x^4+x^3+x^2+x-1) ogf] A339495 3.80519 [{-a(n+8)+a(n+7)+a(n+6)+a(n+5)+a(n+4)+a(n+3),a(0)=1,a(1)=3,a(2)=9,a(3)=19,a(4)=37,a(5)=73,a(6)=144,a(7)=283} ogf] A339495 7.50565 [-(x^7+3*x^6+4*x^5+5*x^4+6*x^3+5*x^2+2*x+1)/(x^5+x^4+x^3+x^2+x-1) ogf] A339531 16.3483 [-(x^2-20*x-17)/(x+1)/(x-1)^2 ogf] A339531 7.06577 [(140*f(x)-1009)*(f(x)*x^3-f(x)*x^2-f(x)*x+x^2+f(x)-20*x-17) ogf] A339531 7.79216 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=17,a(1)=37,a(2)=53} ogf] A339532 5.9819 [-(x^8-108*x^7-36*x^6-56*x^5-52*x^4-56*x^3-36*x^2-108*x-449)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A339546 4.37865 [(f(x)*x-f(x)+1)^2 ogf] A339565 3.17569 [{a(n+4)*n-6*a(n+3)*n-7*a(n+2)*n-4*a(n+1)*n+4*a(n+4)-21*a(n+3)-21*a(n+2)-10*a(n+1),a(0)=1,a(1)=3,a(2)=17,a(3)=101} ogf] A339565 9.17422 [4*f(x)^2*x^3+7*f(x)^2*x^2+6*f(x)^2*x-f(x)^2+1 ogf] A339570 14.5608 [-4*(192*x^22+48*x^8+12*x^3+3*x+1)/(x-1) ogf] A339572 13.5558 [-x^2*(x^2-x-1)/(x-1)/(x^4+x^2-1) ogf] A339572 5.43906 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=2,a(4)=2} ogf] A339573 15.2821 [x*(x^3-x^2-1)/(x^2+x+1)/(x-1)^3 ogf] A339573 5.71905 [{-a(n+5)+2*a(n+4)-a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=4,a(4)=6} ogf] A339573 6.13293 [(3*f(x)-16)*(f(x)*x^5-2*f(x)*x^4+f(x)*x^3-x^4-f(x)*x^2+x^3+2*f(x)*x-f(x)+x) ogf] A339600 4.61981 [(85*f(x)-59)*(2*f(x)*x^4+6*f(x)*x^3-3*x^3+f(x)*x+2*x^2-f(x)+1) ogf] A339600 4.65963 [{-a(n+4)+a(n+3)+6*a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A339600 8.86094 [(x-1)*(3*x^2+x+1)/(2*x^4+6*x^3+x-1) ogf] A339601 4.61657 [-x*(7*x^42+6*x^41+5*x^36+4*x^35+3*x^6+2*x^5+1)/(x-1)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x^24-x^12+1) ogf] A339609 18.9516 [x^2*(x^3-4*x^2+2*x-4)/(x-1)^3 ogf] A339609 5.72363 [{-a(n+6)+3*a(n+5)-3*a(n+4)+a(n+3),a(0)=0,a(1)=0,a(2)=4,a(3)=10,a(4)=22,a(5)=39} ogf] A339610 15.4656 [-(2*x^3+x^2+x-2)/(x^2+x-1)^2 ogf] A339610 5.89697 [(25*f(x)-73)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+2*x^3-2*f(x)*x+x^2+f(x)+x-2) ogf] A339610 6.07169 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=2,a(1)=3,a(2)=7,a(3)=11} ogf] A339623 20.0603 [(x^4-3*x^3-9*x^2-2*x-1)/(x-1)^3 ogf] A339623 6.97132 [(6871172*f(x)+102431691)*(f(x)*x^3-x^4-3*f(x)*x^2+3*x^3+3*f(x)*x+9*x^2-f(x)+2*x+1) ogf] A339623 7.07163 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=1,a(1)=5,a(2)=21,a(3)=52,a(4)=97} ogf] A339710 7.8399 [4*f(x)^3*x^2-188*f(x)^3*x+12*f(x)^3-f(x)*x-9*f(x)-3 ogf] A339750 4.17734 [{-a(n+6)+10*a(n+5)-33*a(n+4)+40*a(n+3)-32*a(n+1)+16*a(n),a(0)=1,a(1)=30,a(2)=235,a(3)=1448,a(4)=7909,a(5)=40674} ogf] A339750 8.71402 [(16*x^4-48*x^3+32*x^2-20*x-1)/(4*x^2+4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A339750 9.53416 [(16*x^4-48*x^3+32*x^2-20*x-1)/(4*x^2+4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A339760 11.0379 [(16*x^4-24*x^3+16*x^2-6*x-1)/(4*x^2+2*x-1)/(2*x-1)^2 ogf] A339760 12.2644 [(16*x^4-24*x^3+16*x^2-6*x-1)/(4*x^2+2*x-1)/(2*x-1)^2 ogf] A339760 5.48468 [{-a(n+5)+6*a(n+4)-8*a(n+3)-8*a(n+2)+16*a(n+1),a(0)=1,a(1)=12,a(2)=48,a(3)=208,a(4)=768} ogf] A339760 5.66048 [-(28*f(x)-117)*(16*f(x)*x^4-8*f(x)*x^3-16*x^4-8*f(x)*x^2+24*x^3+6*f(x)*x-16*x^2-f(x)+6*x+1) ogf] A339771 15.6177 [-(2*x+1)/(x-1)/(-1+2*x)^2 ogf] A339771 18.6651 [-(2*x+1)/(x-1)/(2*x-1)^2 ogf] A339771 7.08583 [(898*f(x)-1009)*(4*f(x)*x^3-8*f(x)*x^2+5*f(x)*x-f(x)+2*x+1) ogf] A339771 7.28828 [{a(n+3)-5*a(n+2)+8*a(n+1)-4*a(n),a(0)=1,a(1)=7,a(2)=27} ogf] A339821 6.21415 [-(2*x+1)*(4*x^2+1)*(6*x^4+1)*(10*x^8+1)*(12*x^16+1)/(2*x^8-1)/(2*x^8+1)/(2*x^8-2*x^4+1)/(2*x^8+2*x^4+1) ogf] A339821 6.51727 [-(2*x+1)*(4*x^2+1)*(6*x^4+1)*(10*x^8+1)*(12*x^16+1)/(2*x^8-1)/(2*x^8+1)/(2*x^8-2*x^4+1)/(2*x^8+2*x^4+1) ogf] A339828 4.71728 [{a(n+5)-4*a(n+4)+2*a(n+3)-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=5,a(3)=16,a(4)=53} ogf] A339828 7.75315 [-(x^4-x^3-x^2-2*x+1)/(x-1)/(x^2+x+1)/(2*x^2-4*x+1) ogf] A339828 8.42009 [-(x^4-x^3-x^2-2*x+1)/(x-1)/(x^2+x+1)/(2*x^2-4*x+1) ogf] A339847 23.1928 [-(f(x)-1)^3 ogf] A339850 14.3649 [-(x+1)^2/(2*x^3+4*x^2+2*x-1) ogf] A339850 16.9186 [-(x+1)^2/(2*x^3+4*x^2+2*x-1) ogf] A339850 6.50717 [-(64*f(x)+27)*(2*f(x)*x^3+4*f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A339850 7.25084 [{a(n+3)-2*a(n+2)-4*a(n+1)-2*a(n),a(0)=1,a(1)=4,a(2)=13} ogf] A339889 9.87849 [(x^32+x^31-x^30-x^15-1)/(x^31-x^16-1)/(x-1)^2 ogf] A339926 4.81972 [-(f(x)-1)^3 ogf] A340093 8.25019 [(98306*x^19+81919*x^18+34*x^7+47*x^6+2*x^3+7*x^2-4)/(-1+2*x) ogf] A340130 11.2905 [-(2*x^4-3*x^3-2*x^2+5*x+1)/(x+1)/(x-1)^7 ogf] A340130 12.6801 [-(2*x^4-3*x^3-2*x^2+5*x+1)/(x+1)/(x-1)^7 ogf] A340162 5.10638 [{a(n+7)-2*a(n+5)-2*a(n+3)+4*a(n+1),a(0)=7,a(1)=14,a(2)=19,a(3)=28,a(4)=37,a(5)=56,a(6)=38} ogf] A340162 9.11461 [-(46*x^6+28*x^5+15*x^4-5*x^2-14*x-7)/(2*x^2-1)/(2*x^4-1) ogf] A340162 9.97245 [-(46*x^6+28*x^5+15*x^4-5*x^2-14*x-7)/(2*x^2-1)/(2*x^4-1) ogf] A340169 4.56005 [-(4*x^11-4*x^10-79*x^9+24*x^8+6*x^7-131*x^6-24*x^5-5*x^3-4*x^2-2*x-1)/(x-1)^4/(x^2+x+1)^4 ogf] A340169 4.84505 [-(4*x^11-4*x^10-79*x^9+24*x^8+6*x^7-131*x^6-24*x^5-5*x^3-4*x^2-2*x-1)/(x-1)^4/(x^2+x+1)^4 ogf] A340173 3.17506 [(2303050995949384*f(x)+27933038433557355)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2+2520*x^3-26*f(x)*x-3888*x^2+f(x)+1376*x-344) ogf] A340173 3.76154 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=344,a(1)=7568,a(2)=133232,a(3)=2145368} ogf] A340173 6.08826 [-8*(315*x^3-486*x^2+172*x-43)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340173 6.63552 [-8*(315*x^3-486*x^2+172*x-43)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340174 4.94064 [-2*(126945*x^4-199953*x^3+88687*x^2-9515*x+1396)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340174 5.26198 [-2*(126945*x^4-199953*x^3+88687*x^2-9515*x+1396)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340199 4.8161 [(2331789*f(x)+2106671)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+63*x^2-f(x)-94*x+43) ogf] A340199 5.49802 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=43,a(1)=379,a(2)=2899} ogf] A340199 8.62884 [-(63*x^2-94*x+43)/(x-1)/(3*x-1)/(7*x-1) ogf] A340199 9.70745 [-(63*x^2-94*x+43)/(x-1)/(3*x-1)/(7*x-1) ogf] A340200 3.6339 [(561955440783128*f(x)+7440352848232795)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2+2835*x^3-26*f(x)*x-4365*x^2+f(x)+1573*x-379) ogf] A340200 4.25884 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=379,a(1)=8281,a(2)=145387,a(3)=2338345} ogf] A340200 6.62018 [-(2835*x^3-4365*x^2+1573*x-379)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340200 7.18966 [-(2835*x^3-4365*x^2+1573*x-379)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340201 4.86635 [-(263655*x^4-415464*x^3+183886*x^2-19856*x+2899)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340201 5.17779 [-(263655*x^4-415464*x^3+183886*x^2-19856*x+2899)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340215 17.9373 [-(x+1)/(x^5+x^2+x-1) ogf] A340215 21.1261 [-(x+1)/(x^5+x^2+x-1) ogf] A340215 7.42714 [{-a(n+5)+a(n+4)+a(n+3)+a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=5,a(4)=8} ogf] A340217 11.9769 [-(x^4+x^3+x^2+x+1)/(x^5+x^2+x-1) ogf] A340217 13.3655 [-(x^4+x^3+x^2+x+1)/(x^5+x^2+x-1) ogf] A340217 7.14899 [{a(n+5)-a(n+4)-a(n+3)-a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=7,a(4)=12} ogf] A340228 12.5698 [-(3*x^3-13*x^2+13*x-4)/(-1+2*x)^2/(x-1)^2 ogf] A340228 14.2741 [-(3*x^3-13*x^2+13*x-4)/(2*x-1)^2/(x-1)^2 ogf] A340228 5.76831 [(252*f(x)+1363)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+3*x^3-6*f(x)*x-13*x^2+f(x)+13*x-4) ogf] A340228 6.0588 [{-a(n+4)+6*a(n+3)-13*a(n+2)+12*a(n+1)-4*a(n),a(0)=4,a(1)=11,a(2)=27,a(3)=64} ogf] A340246 6.89331 [-x^3*(x^7+x^5+x^3+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340246 7.34907 [-x^3*(x^7+x^5+x^3+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340247 5.01503 [-x^3*(x^11-x^10+x^9+x^8+x^7+x^6+2*x^5+2*x^3+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340247 5.26116 [-x^3*(x^11-x^10+x^9+x^8+x^7+x^6+2*x^5+2*x^3+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340248 4.81352 [-x^3*(2*x^11-2*x^10+3*x^9+3*x^7+x^6+3*x^5+x^4+2*x^3+x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340248 5.03872 [-x^3*(2*x^11-2*x^10+3*x^9+3*x^7+x^6+3*x^5+x^4+2*x^3+x^2+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340249 4.92316 [-x^3*(3*x^11-3*x^10+4*x^9+4*x^7+2*x^6+4*x^5+x^4+3*x^3+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340249 5.159 [-x^3*(3*x^11-3*x^10+4*x^9+4*x^7+2*x^6+4*x^5+x^4+3*x^3+x+1)/(x^2+1)^2/(x^2+x+1)^2/(x^2-x+1)^2/(x+1)^4/(x-1)^5 ogf] A340257 17.8374 [-(4*x^2-2*x+1)/(-1+2*x)^3 ogf] A340257 21.6941 [-(4*x^2-2*x+1)/(2*x-1)^3 ogf] A340257 7.16681 [(3*f(x)+5)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A340257 7.57248 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=4,a(2)=16} ogf] A340258 8.96496 [-(79*x^29-58*x^28-21*x^27+26*x^8-26*x^7+7*x^2-5*x-1)/(x-1)^2 ogf] A340258 9.80872 [-(79*x^29-58*x^28-21*x^27+26*x^8-26*x^7+7*x^2-5*x-1)/(x-1)^2 ogf] A340266 16.5186 [-(x^3-4*x+4)/(x-1)^3 ogf] A340266 20.0902 [-(x^3-4*x+4)/(x-1)^3 ogf] A340266 5.89951 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=4,a(1)=8,a(2)=12,a(3)=17} ogf] A340266 6.52051 [(25*f(x)+412)*(f(x)*x^3-3*f(x)*x^2+x^3+3*f(x)*x-f(x)-4*x+4) ogf] A340301 7.40222 [-x*(31*x^31-32*x^30+15*x^15-16*x^14+7*x^7-8*x^6+3*x^3-4*x^2+x-2)/(x-1)^2 ogf] A340309 15.112 [-6*x/(3*x-1)/(2*x^2-5*x+1) ogf] A340309 18.0606 [-6*x/(3*x-1)/(2*x^2-5*x+1) ogf] A340309 7.05225 [{a(n+3)-8*a(n+2)+17*a(n+1)-6*a(n),a(0)=0,a(1)=6,a(2)=48} ogf] A340309 7.40487 [(4*f(x)+3)*(6*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-f(x)+6*x) ogf] A340326 7.68815 [-(x^6+3*x^5-5*x^4-2*x^3+x^2-x-1)/(x^4-x^2+1)/(x-1)^2/(x+1)^2 ogf] A340326 8.27392 [-(x^6+3*x^5-5*x^4-2*x^3+x^2-x-1)/(x^4-x^2+1)/(x-1)^2/(x+1)^2 ogf] A340395 15.5375 [5/(x-1)/(3*x-1)/(x+1) ogf] A340395 18.5692 [5/(x-1)/(3*x-1)/(x+1) ogf] A340395 7.18244 [{a(n+3)-3*a(n+2)-a(n+1)+3*a(n),a(0)=5,a(1)=15,a(2)=50} ogf] A340395 7.4641 [(13*f(x)+135)*(3*f(x)*x^3-f(x)*x^2-3*f(x)*x+f(x)-5) ogf] A340403 3.9264 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=3740,a(1)=66914,a(2)=1084508,a(3)=16848674} ogf] A340403 6.02048 [-2*(25515*x^3-38892*x^2+15163*x-1870)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340403 6.51701 [-2*(25515*x^3-38892*x^2+15163*x-1870)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340404 4.34106 [-2*(6064065*x^4-9507684*x^3+4005478*x^2-590276*x+33457)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340404 4.6082 [-2*(6064065*x^4-9507684*x^3+4005478*x^2-590276*x+33457)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340433 3.13667 [-(99234648079807181*f(x)+10804555624026792810)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2+32760*x^3-26*f(x)*x-49914*x^2+f(x)+19412*x-2426) ogf] A340433 3.88162 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=2426,a(1)=43664,a(2)=709682,a(3)=11039864} ogf] A340433 5.97173 [-2*(16380*x^3-24957*x^2+9706*x-1213)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340433 6.46937 [-2*(16380*x^3-24957*x^2+9706*x-1213)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340434 5.05768 [-8*(1298745*x^4-2035908*x^3+857365*x^2-126086*x+7144)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340434 5.37379 [-8*(1298745*x^4-2035908*x^3+857365*x^2-126086*x+7144)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340436 4.63908 [(3548792301*f(x)+45911554703)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+315*x^2-f(x)-454*x+151) ogf] A340436 5.60724 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=151,a(1)=1207,a(2)=8911} ogf] A340436 8.59776 [-(315*x^2-454*x+151)/(x-1)/(3*x-1)/(7*x-1) ogf] A340436 9.62436 [-(315*x^2-454*x+151)/(x-1)/(3*x-1)/(7*x-1) ogf] A340437 4.43459 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=3451,a(1)=64705,a(2)=1068475,a(3)=16734721} ogf] A340437 6.79971 [-(40635*x^3-62541*x^2+25021*x-3451)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340437 7.36051 [-(40635*x^3-62541*x^2+25021*x-3451)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340438 4.94852 [-(9520875*x^4-14991504*x^3+6390814*x^2-966632*x+61567)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340438 5.25072 [-(9520875*x^4-14991504*x^3+6390814*x^2-966632*x+61567)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A340445 11.2884 [x^4*(x^2-x-1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A340445 12.5972 [x^4*(x^2-x-1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A340445 4.52712 [{-a(n+7)+a(n+6)+a(n+5)-a(n+3)-a(n+2)+a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1,a(5)=2,a(6)=2} ogf] A340448 7.00296 [x*(x^7-x^4-2*x^2-x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A340448 7.69461 [x*(x^7-x^4-2*x^2-x-1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A340453 8.96949 [(2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A340454 8.97996 [x*(2*x^2+2*x+1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A340455 7.39296 [(2*x^3+3*x^2+x-1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A340456 10.9645 [(2*x^3+x+2)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A340495 4.17909 [{a(n+4)-6*a(n+3)+9*a(n+2)-4*a(n+1),a(0)=2,a(1)=3,a(2)=8,a(3)=33} ogf] A340495 4.24704 [(255*f(x)-496)*(4*f(x)*x^3-9*f(x)*x^2+4*x^3+6*f(x)*x+8*x^2-f(x)-9*x+2) ogf] A340495 7.57081 [-(-1+2*x)*(2*x^2+5*x-2)/(-1+4*x)/(x-1)^2 ogf] A340495 8.56371 [-(2*x-1)*(2*x^2+5*x-2)/(4*x-1)/(x-1)^2 ogf] A340498 4.88969 [-(15+49*f(x))*(4*f(x)*x^2-5*f(x)*x+2*x^2+f(x)+9*x-3) ogf] A340498 5.09557 [{a(n+3)-5*a(n+2)+4*a(n+1),a(0)=3,a(1)=6,a(2)=16} ogf] A340498 8.49262 [-(2*x^2+9*x-3)/(-1+4*x)/(x-1) ogf] A340498 9.87916 [-(2*x^2+9*x-3)/(4*x-1)/(x-1) ogf] A340519 16.5809 [2*(3*x^2+4*x+3)/(x-1)^2/(x+1)^2 ogf] A340519 19.288 [2*(3*x^2+4*x+3)/(x-1)^2/(x+1)^2 ogf] A340519 9.45114 [{-a(n+4)+2*a(n+2)-a(n),a(0)=6,a(1)=8,a(2)=18,a(3)=16} ogf] A340519 9.5466 [-(21*f(x)+53)*(f(x)*x^4-2*f(x)*x^2-6*x^2+f(x)-8*x-6) ogf] A340528 10.3712 [-x*(x^2+1)*(x^3-2*x^2+x+1)/(x+1)/(x-1)^3 ogf] A340528 11.4487 [-x*(x^2+1)*(x^3-2*x^2+x+1)/(x+1)/(x-1)^3 ogf] A340528 5.44168 [{a(n+7)-2*a(n+6)+2*a(n+4)-a(n+3),a(0)=0,a(1)=1,a(2)=3,a(3)=5,a(4)=10,a(5)=13,a(6)=20} ogf] A340536 6.01069 [-(9*x^8+2*x^7+8*x^6+9*x^5+5*x^4+5*x^3+9*x^2+8*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A340536 6.38345 [-(9*x^8+2*x^7+8*x^6+9*x^5+5*x^4+5*x^3+9*x^2+8*x+2)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A340571 5.43861 [x^5*(x^4+x^3+x^2+x+1)*(x^5+x^2+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)^2/(x-1)^4/(x+1)^4 ogf] A340589 4.62265 [x^4*(x^10+x^9+x^8+2*x^7+2*x^6+2*x^5+x^4+2*x^3+x^2+x+1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^2+1)^2/(x-1)^4/(x+1)^4 ogf] A340615 7.24347 [x*(x^8+4*x^7+2*x^6+7*x^5+3*x^4+8*x^3+5*x^2+x+2)/(x-1)^2/(x^4+x^3+x^2+x+1)^2 ogf] A340619 4.72286 [(x+1)*(x^16-x^12+x^8-x^4+1)/(x^2+1)/(x^2+x+1)/(x^4-x^2+1)/(x^8-x^4+1)/(x^16-x^8+1)/(x-1)^2 ogf] A340627 11.4845 [{a(n+2)-a(n+1)-2*a(n),a(0)=3,a(1)=8} ogf] A340627 20.7281 [-(5*x+3)/(x+1)/(2*x-1) ogf] A340627 9.99827 [(5*f(x)+1)*(2*f(x)*x^2+f(x)*x-f(x)+5*x+3) ogf] A340631 12.7623 [(12*x^4-10*x^3-23*x^2+16*x+7)/(x+1)/(x-1)^2 ogf] A340631 5.80106 [-(9659*f(x)+277466)*(f(x)*x^3-12*x^4-f(x)*x^2+10*x^3-f(x)*x+23*x^2+f(x)-16*x-7) ogf] A340631 6.01124 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=7,a(1)=23,a(2)=7,a(3)=13,a(4)=9} ogf] A340648 13.9286 [-x*(x^3+x^2+1)/(x^2+1)/(x-1)^3 ogf] A340648 5.18075 [{-a(n+5)+3*a(n+4)-4*a(n+3)+4*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=6,a(4)=11} ogf] A340670 13.9095 [-1/(2*x-1)/(2*x^2-x+1)/(2*x^2+2*x+1) ogf] A340670 6.19408 [{a(n+5)-a(n+4)-2*a(n+2)-8*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3,a(4)=5} ogf] A340709 5.71143 [x*(x^8+3*x^7+2*x^6+5*x^5+3*x^4+5*x^3+3*x^2+2*x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A340745 9.87849 [-x*(x^27-x^26+x^9-x^8+x^3-x^2+x-2)/(x-1)^2 ogf] A340757 5.86035 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=243,a(1)=586,a(2)=1272,a(3)=2301,a(4)=2644} ogf] A340757 9.38988 [(100*x^4+1029*x^3+686*x^2+343*x+243)/(x+1)/(x^2+1)/(x-1)^2 ogf] A340760 13.4069 [x^4/(x^2+x+1)/(x^2+1)^2/(x+1)^3/(x-1)^4 ogf] A340761 14.0645 [x^4/(x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A340763 6.49209 [x^6*(3*x^36+2*x^30+5*x^24+3*x^18+3*x^12+1)/(x-1)/(3*x^42+x^36-x^30-x^18-3*x^12+x^6-1) ogf] A340849 11.3092 [x*(3*x^2-1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A340849 4.84682 [{a(n+4)-3*a(n+3)+a(n+2)+3*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=5} ogf] A340849 4.99711 [-(3*f(x)+1)*(2*f(x)*x^4-3*f(x)*x^3-f(x)*x^2-3*x^3+3*f(x)*x-f(x)+x) ogf] A340898 11.7242 [8*(10*x-13)/(x-1)/(3*x-1)/(7*x-1) ogf] A340898 5.03775 [(1103801541*f(x)-11132954504)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)-80*x+104) ogf] A340898 5.60724 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=104,a(1)=1064,a(2)=8480} ogf] A340899 3.4356 [(30697734810647037896*f(x)-143587671724263756765)*(315*f(x)*x^4-486*f(x)*x^3+196*f(x)*x^2-26*f(x)*x-4002*x^2+f(x)+5924*x-2426) ogf] A340899 3.9264 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=2426,a(1)=57152,a(2)=1014458,a(3)=16353152} ogf] A340899 7.61627 [2*(2001*x^2-2962*x+1213)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A340973 3.07 [{-a(n+3)*n+14*a(n+2)*n-13*a(n+1)*n-3*a(n+3)+35*a(n+2)-26*a(n+1),a(0)=1,a(1)=7,a(2)=67} ogf] A340973 8.35984 [13*f(x)^2*x^2-14*f(x)^2*x+f(x)^2-1 ogf] A341015 5.37994 [(135*x^15+135*x^14+135*x^13-117*x^11-72*x^10-57*x^9-27*x^8-2*x^7-6*x^6-4*x^5+4*x^3+3*x^2+2*x+1)/(5*x^4-1)/(27*x^8-1) ogf] A341016 12.4689 [(x+1)*(2*x^6-2*x^5+2*x^4-2*x^3+3*x^2-3*x+2)/(x-1)^2 ogf] A341016 6.11534 [{-a(n+8)+2*a(n+7)-a(n+6),a(0)=2,a(1)=3,a(2)=4,a(3)=6,a(4)=8,a(5)=10,a(6)=12,a(7)=16} ogf] A341029 5.80999 [x*(4*x^8+2*x^7-x^5-3*x^4-2*x^3-3*x^2-1)/(x-1)/(2*x-1)/(2*x^2+1)/(2*x^2-1)/(x^2+1) ogf] A341043 16.1815 [(9*x^3+55*x^2+31*x+1)/(x-1)^4 ogf] A341043 4.66983 [(37840*f(x)+1108281)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-9*x^3-4*f(x)*x-55*x^2+f(x)-31*x-1) ogf] A341043 5.00579 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=35,a(2)=189,a(3)=559} ogf] A341092 13.1705 [-(5*x^4-3*x^3-12*x^2+5*x+7)/(x+1)^2/(x-1)^3 ogf] A341092 5.17414 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=7,a(1)=12,a(2)=14,a(3)=21,a(4)=23} ogf] A341104 16.8195 [-(x-1)^4/(2*x-1)/(x^2-3*x+1) ogf] A341104 5.97215 [{a(n+5)-5*a(n+4)+7*a(n+3)-2*a(n+2),a(0)=1,a(1)=1,a(2)=4,a(3)=11,a(4)=30} ogf] A341104 6.38881 [(33*f(x)+14)*(2*f(x)*x^3+x^4-7*f(x)*x^2-4*x^3+5*f(x)*x+6*x^2-f(x)-4*x+1) ogf] A341161 4.1207 [(711*x^20-711*x^19-9*x^16+9*x^15-9*x^14+9*x^13-9*x^12-81*x^11+90*x^10+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(10*x^9-1) ogf] A341163 6.62826 [-x*(2*x+1)*(x^6+x^4-x^2+1)*(x^24+x^16-x^8+1)/(x-1)/(x^32+1) ogf] A341208 16.661 [(x-3)^2/(x+1)/(x^2-3*x+1) ogf] A341208 6.14546 [(1253171*f(x)+146056)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-x^2+f(x)+6*x-9) ogf] A341208 7.07308 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=9,a(1)=12,a(2)=43} ogf] A341209 21.4332 [(x^3-2*x^2+x+1)/(x-1)^4 ogf] A341209 6.27688 [(98*f(x)-135)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-x^3-4*f(x)*x+2*x^2+f(x)-x-1) ogf] A341209 6.46149 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=5,a(2)=12,a(3)=23} ogf] A341240 4.12981 [{a(n+6)-4*a(n+5)+2*a(n+4)-a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=12,a(4)=38,a(5)=127} ogf] A341240 8.34843 [-(x^5-x^3-2*x^2-2*x+1)/(x-1)/(x^2+x+1)/(2*x^2-4*x+1) ogf] A341248 11.7223 [-(x+1)*(2*x-1)/(x-1)/(4*x^2+4*x-1) ogf] A341248 7.29655 [-(72*f(x)-7)*(4*f(x)*x^3-5*f(x)*x+2*x^2+f(x)+x-1) ogf] A341248 8.2191 [{-a(n+3)+5*a(n+2)-4*a(n),a(0)=1,a(1)=4,a(2)=18} ogf] A341250 12.3777 [-(2*x^2+2*x-1)/(x-1)/(4*x^2+4*x-1) ogf] A341250 6.98543 [-(340*f(x)-123)*(4*f(x)*x^3-5*f(x)*x+2*x^2+f(x)+2*x-1) ogf] A341250 8.10952 [{a(n+3)-5*a(n+2)+4*a(n),a(0)=1,a(1)=3,a(2)=13} ogf] A341277 5.72148 [-(2*x^14-2*x^13-2*x^12-5*x^10+6*x^9+x^8+2*x^7+4*x^6-4*x^5-2*x^3-x^2-1)/(x+1)^2/(x^2+1)^2/(x-1)^4 ogf] A341301 12.1284 [-(7*x^4-4*x^3+2*x^2-4*x+5)/(x^2+x+1)/(x-1)^3 ogf] A341301 5.33358 [{a(n+5)-2*a(n+4)+a(n+3)-a(n+2)+2*a(n+1)-a(n),a(0)=5,a(1)=6,a(2)=9,a(3)=13,a(4)=20} ogf] A341307 9.74404 [(x^4+x^2-x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A341311 7.67847 [(x^5+x^4+x^3+x^2-x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A341344 7.4072 [-2*f(x)^2*x^2+2*f(x)*x^3+4*f(x)^2*x-f(x)^2-7*f(x)*x+2*x^2+2*f(x)+3*x-1 ogf] A341396 12.108 [(x^3+8*x^2-6*x+15)/(x+1)/(x^2+1) ogf_with_Euler_transform] A341397 12.1285 [(x^3+9*x^2-7*x+17)/(x+1)/(x^2+1) ogf_with_Euler_transform] A341398 12.1073 [(x^3+10*x^2-8*x+19)/(x+1)/(x^2+1) ogf_with_Euler_transform] A341399 12.3111 [(x^3+11*x^2-9*x+21)/(x+1)/(x^2+1) ogf_with_Euler_transform] A341438 7.29352 [x*(2*x^49-2*x^47-7*x^46+7*x^44+2*x^43-2*x^42-6*x^32+8*x^29-8*x^28+4*x^5+4*x^3-4*x^2+4*x-9)/(x-1) ogf] A341441 13.2209 [(x^5+20*x^4+7*x^3-63*x^2-28*x-1)/(x-1)^7 ogf] A341463 11.3986 [{-a(n+2)-4*a(n+1)-3*a(n),a(0)=-1,a(1)=2} ogf] A341463 20.5731 [-(2*x+1)/(x+1)/(3*x+1) ogf] A341463 9.47749 [-(f(x)-1)*(3*f(x)*x^2+4*f(x)*x+f(x)+2*x+1) ogf] A341543 11.3235 [-4*(x^2-5*x+2)/(x-1)/(x^2-6*x+1) ogf] A341543 5.42386 [(11478*f(x)+6247)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+4*x^2-f(x)-20*x+8) ogf] A341543 6.03214 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=8,a(1)=36,a(2)=200} ogf] A341544 4.02246 [{-a(n+5)+19*a(n+4)-76*a(n+3)+76*a(n+2)-19*a(n+1)+a(n),a(0)=36,a(1)=256,a(2)=2916,a(3)=38416,a(4)=527076} ogf] A341544 7.43545 [-4*(4*x^4-67*x^3+197*x^2-107*x+9)/(x-1)/(x^2-14*x+1)/(x^2-4*x+1) ogf] A341549 11.3548 [(4*x^3-2*x^2+3*x-3)/(x-1)/(x+1)^2/(2*x-1)^2 ogf] A341549 4.9204 [{a(n+5)-3*a(n+4)-a(n+3)+7*a(n+2)-4*a(n),a(0)=3,a(1)=6,a(2)=23,a(3)=50,a(4)=131} ogf] A341552 16.068 [-3*(105*x-43)/(7*x-1)/(3*x-1) ogf] A341552 7.14134 [(1444*f(x)+130599)*(21*f(x)*x^2-10*f(x)*x+f(x)+315*x-129) ogf] A341552 8.83741 [{-a(n+2)+10*a(n+1)-21*a(n),a(0)=129,a(1)=975} ogf] A341553 3.91628 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=3451,a(1)=61567,a(2)=996787,a(3)=15478951} ogf] A341553 6.45985 [-(47565*x^3-72441*x^2+28159*x-3451)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A341579 11.1924 [x*(x^2+x+1)/(x-1)/(2*x^4+x^2+x-1) ogf] A341579 12.5699 [x*(x^2+x+1)/(x-1)/(2*x^4+x^2+x-1) ogf] A341579 5.59618 [{a(n+5)-2*a(n+4)+a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=7,a(4)=13} ogf] A341580 11.1433 [x*(x^3+x+1)/(x-1)/(2*x^4+x^2+x-1) ogf] A341580 12.5148 [x*(x^3+x+1)/(x-1)/(2*x^4+x^2+x-1) ogf] A341580 5.57164 [{-a(n+5)+2*a(n+4)-a(n+2)+2*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=6,a(4)=12} ogf] A341581 10.4713 [x*(x^3+x^2+1)/(x-1)/(2*x^4+x^2+x-1) ogf] A341581 11.6854 [x*(x^3+x^2+1)/(x-1)/(2*x^4+x^2+x-1) ogf] A341581 5.52255 [{-a(n+5)+2*a(n+4)-a(n+2)+2*a(n+1)-2*a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=5,a(4)=10} ogf] A341582 12.666 [-x*(x^2+x+1)/(2*x^4+x^2+x-1) ogf] A341582 14.4437 [-x*(x^2+x+1)/(2*x^4+x^2+x-1) ogf] A341582 7.15904 [(4*f(x)+3)*(2*f(x)*x^4+f(x)*x^2+x^3+f(x)*x+x^2-f(x)+x) ogf] A341582 7.15904 [{-a(n+4)+a(n+3)+a(n+2)+2*a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=4} ogf] A341583 10.1437 [-x*(x-1)*(x^2+x+1)/(2*x-1)/(2*x^4+x^2+x-1) ogf] A341583 5.01001 [{-a(n+5)+3*a(n+4)-a(n+3)-2*a(n+2)+2*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=8,a(4)=18} ogf] A341583 9.23193 [-x*(x-1)*(x^2+x+1)/(2*x-1)/(2*x^4+x^2+x-1) ogf] A341590 11.2015 [-4*x^2/(x-1)/(3*x-1)/(7*x-1) ogf] A341590 13.1929 [-4*x^2/(x-1)/(3*x-1)/(7*x-1) ogf] A341590 5.65411 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=0,a(1)=0,a(2)=4} ogf] A341590 7.06764 [21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+4*x^2-f(x) ogf] A341597 11.6531 [-(15*x^3+91*x^2+53*x+1)/(x-1)^7 ogf] A341597 13.5953 [-(15*x^3+91*x^2+53*x+1)/(x-1)^7 ogf] A341671 10.2486 [{a(n+2)-14*a(n+1)+a(n),a(0)=3,a(1)=39} ogf] A341671 16.9324 [-3*(x-1)/(x^2-14*x+1) ogf] A341671 20.4971 [-3*(x-1)/(x^2-14*x+1) ogf] A341671 8.4662 [-(60*f(x)-11)*(f(x)*x^2-14*f(x)*x+f(x)+3*x-3) ogf] A341703 13.8194 [-(9*x^4-8*x^3+8*x^2-4*x+1)/(x-1)^5 ogf] A341703 15.9053 [-(9*x^4-8*x^3+8*x^2-4*x+1)/(x-1)^5 ogf] A341703 5.04779 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=7,a(4)=19} ogf] A341704 11.3478 [-(19*x^6+9*x^4-18*x^3+15*x^2-6*x+1)/(x-1)^7 ogf] A341704 12.7663 [-(19*x^6+9*x^4-18*x^3+15*x^2-6*x+1)/(x-1)^7 ogf] A341705 8.14589 [-(73*x^8-16*x^7+40*x^6-64*x^5+72*x^4-56*x^3+28*x^2-8*x+1)/(x-1)^9 ogf] A341705 8.85423 [-(73*x^8-16*x^7+40*x^6-64*x^5+72*x^4-56*x^3+28*x^2-8*x+1)/(x-1)^9 ogf] A341714 4.08984 [-(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A341735 14.9756 [-x*(4*x^3+5*x^2+6*x+1)/(x-1)^5 ogf] A341735 17.4206 [-x*(4*x^3+5*x^2+6*x+1)/(x-1)^5 ogf] A341735 5.05095 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=11,a(3)=50,a(4)=154} ogf] A341740 18.1342 [-(4*x^2-13*x+12)/(x-1)^3 ogf] A341740 21.8541 [-(4*x^2-13*x+12)/(x-1)^3 ogf] A341740 7.10257 [(2025*f(x)-14521)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+4*x^2-f(x)-13*x+12) ogf] A341740 7.9655 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=12,a(1)=23,a(2)=37} ogf] A341744 13.3337 [-(x^3-2*x^2-1)/(x^2+1)/(x-1)^2 ogf] A341744 15.2051 [-(x^3-2*x^2-1)/(x^2+1)/(x-1)^2 ogf] A341744 6.19066 [-(64*f(x)+351)*(f(x)*x^4-2*f(x)*x^3+2*f(x)*x^2+x^3-2*f(x)*x-2*x^2+f(x)-1) ogf] A341744 6.46786 [{a(n+4)-2*a(n+3)+2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=5} ogf] A341768 17.5805 [-x*(x^2-6*x+2)/(x-1)^4 ogf] A341768 21.0108 [-x*(x^2-6*x+2)/(x-1)^4 ogf] A341768 6.10953 [(12528*f(x)+26735)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+x^3-4*f(x)*x-6*x^2+f(x)+2*x) ogf] A341768 6.47702 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=0,a(1)=-2,a(2)=-2,a(3)=3} ogf] A341770 8.23579 [(2*x^9-4*x^8+28*x^7-60*x^6+42*x^5-20*x^4+12*x^3-2*x^2-5*x-1)/(x-1)^3 ogf] A341770 8.93671 [(2*x^9-4*x^8+28*x^7-60*x^6+42*x^5-20*x^4+12*x^3-2*x^2-5*x-1)/(x-1)^3 ogf] A341893 10.3385 [-x*(x^2+x+1)*(x^2+4*x+1)/(x-1)/(x^6-38*x^3+1) ogf] A341893 11.3002 [-x*(x^2+x+1)*(x^2+4*x+1)/(x-1)/(x^6-38*x^3+1) ogf] A341895 10.7004 [x*(x^5+4*x^4+16*x^3-19*x^2-16*x-4)/(x-1)/(x^6-38*x^3+1) ogf] A341895 9.81789 [x*(x^5+4*x^4+16*x^3-19*x^2-16*x-4)/(x-1)/(x^6-38*x^3+1) ogf] A341896 8.68352 [(10*x^7-13*x^6+46*x^5+11*x^4+6*x^3+x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A341896 9.46406 [(10*x^7-13*x^6+46*x^5+11*x^4+6*x^3+x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A341900 4.1926 [{-a(n+3)*n+a(n+1)*n+a(n+4)-4*a(n+3)-a(n+2)+4*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=7} ogf] A341905 13.3471 [(x^2+3*x-3)/(2*x-1)/(x^2+x+1) ogf] A341905 15.3618 [(x^2+3*x-3)/(2*x-1)/(x^2+x+1) ogf] A341905 7.07978 [(321*f(x)-959)*(2*f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)-3*x+3) ogf] A341905 7.90461 [{a(n+3)-a(n+2)-a(n+1)-2*a(n),a(0)=3,a(1)=0,a(2)=2} ogf] A341927 11.1013 [{a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=6} ogf] A341927 18.2555 [-(2*x-1)/(x^2-8*x+1) ogf] A341927 22.2027 [-(2*x-1)/(x^2-8*x+1) ogf] A341927 9.12777 [-(23*f(x)-5)*(f(x)*x^2-8*f(x)*x+f(x)+2*x-1) ogf] A341928 11.4389 [-(10*x^2-25*x-3)/(x+1)/(x^2-3*x+1) ogf] A341928 12.9899 [-(10*x^2-25*x-3)/(x+1)/(x^2-3*x+1) ogf] A341928 6.0347 [(13123379*f(x)+44203413)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x+10*x^2+f(x)-25*x-3) ogf] A341928 7.23026 [{-a(n+3)+2*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=31,a(2)=58} ogf] A341929 11.7244 [{a(n+2)-8*a(n+1)+a(n),a(0)=1,a(1)=2} ogf] A341929 19.2802 [-(6*x-1)/(x^2-8*x+1) ogf] A341929 23.4489 [-(6*x-1)/(x^2-8*x+1) ogf] A341929 9.74841 [-(7*f(x)-5)*(f(x)*x^2-8*f(x)*x+f(x)+6*x-1) ogf] A341935 2.04628 [x*(60*x^12-89*x^11+42*x^10-9*x^9-5*x^2+5)/(x+1)/(10*x^11+x^10-9*x^9-5*x+5)/(x-1)^2 ogf] A341935 2.18046 [x*(60*x^12-89*x^11+42*x^10-9*x^9-5*x^2+5)/(x+1)/(10*x^11+x^10-9*x^9-5*x+5)/(x-1)^2 ogf] A341943 3.82165 [-(160184*f(x)+78719)*(8*f(x)*x^4-9*f(x)*x^2-2*x^3-6*x^2+f(x)-x) ogf] A341943 4.28961 [{a(n+4)-9*a(n+2)+8*a(n),a(0)=0,a(1)=1,a(2)=6,a(3)=11} ogf] A341943 5.75865 [x*(2*x^2+6*x+1)/(x-1)/(x+1)/(8*x^2-1) ogf] A341943 6.46741 [x*(2*x^2+6*x+1)/(x-1)/(x+1)/(8*x^2-1) ogf] A341961 14.0516 [x*(x-1)^2/(x+1)/(2*x+1) revogf] A341961 7.69143 [-f(x)^3*x^2+2*f(x)^2*x^2+2*f(x)^2*x+3*f(x)*x-f(x)+1 ogf] A341962 12.9392 [-x*(2*x-1)^2/(x-1)/(x+1) revogf] A341962 9.41034 [4*f(x)^3*x^2+f(x)^2*x^2-4*f(x)^2*x+f(x)-1 ogf] A341963 13.876 [x*(3*x-1)^2/(2*x-1)/(x-1) revogf] A341963 7.59528 [9*f(x)^3*x^2-2*f(x)^2*x^2-6*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A341964 9.22369 [-x*(x-1)^3/(2*x+1)/(3*x+1)/(x+1) revogf] A341965 9.66468 [x*(2*x-1)^3/(x-1)/(2*x+1)/(x+1) revogf] A341966 9.05366 [-x*(3*x-1)^3/(x-1)/(2*x-1)/(x+1) revogf] A341967 9.61952 [x*(4*x-1)^3/(x-1)/(3*x-1)/(2*x-1) revogf] A341968 9.89049 [x/(4*x+1)/(2*x+1)/(3*x+1)/(x+1) revogf] A342073 8.02911 [-120*x^5*(18089*x^5+9545*x^4+2270*x^3+310*x^2+25*x+1)/(x-1)^11 ogf] A342073 8.8221 [-120*x^5*(18089*x^5+9545*x^4+2270*x^3+310*x^2+25*x+1)/(x-1)^11 ogf] A342112 3.79146 [x^2*(x^12-x^11+15*x^10+8*x^9+13*x^8+12*x^7+12*x^6+12*x^5+12*x^4+12*x^3+12*x^2+9*x+3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^6 ogf] A342112 3.93454 [x^2*(x^12-x^11+15*x^10+8*x^9+13*x^8+12*x^7+12*x^6+12*x^5+12*x^4+12*x^3+12*x^2+9*x+3)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^6 ogf] A342115 3.7592 [-x*(99*x^20+11*x^11-x^10-97*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-9)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A342115 3.90105 [-x*(99*x^20+11*x^11-x^10-97*x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-9)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A342131 10.6999 [x*(x^4+2*x^3+3*x^2+x+2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A342131 6.2352 [{-a(n+6)+a(n+4)+a(n+2)-a(n),a(0)=0,a(1)=2,a(2)=1,a(3)=5,a(4)=3,a(5)=8} ogf] A342131 9.73812 [x*(x^4+2*x^3+3*x^2+x+2)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A342159 10.093 [-x*(5*x^3-x^2+3*x+1)*(x^3-7*x^2-x-1)/(x-1)^4/(x+1)^4 ogf] A342159 11.0003 [-x*(5*x^3-x^2+3*x+1)*(x^3-7*x^2-x-1)/(x-1)^4/(x+1)^4 ogf] A342234 4.30896 [(799834805*f(x)-5900415091)*(17496*f(x)*x^4-6966*f(x)*x^3+963*f(x)*x^2+810*x^3-54*f(x)*x-54*x^2+f(x)-3*x) ogf] A342234 4.74568 [{a(n+4)-54*a(n+3)+963*a(n+2)-6966*a(n+1)+17496*a(n),a(0)=0,a(1)=3,a(2)=216,a(3)=7965} ogf] A342234 8.56537 [-3*x*(270*x^2-18*x-1)/(12*x-1)/(6*x-1)/(9*x-1)/(27*x-1) ogf] A342235 10.3232 [-(2*x^6-4*x^5+x^4+6*x^3+4*x^2+2*x+1)/(x+1)/(x-1)^3 ogf] A342235 5.03723 [{-a(n+7)+2*a(n+6)-2*a(n+4)+a(n+3),a(0)=1,a(1)=4,a(2)=12,a(3)=28,a(4)=50,a(5)=76,a(6)=110} ogf] A342253 14.1706 [-(4*x^6+x^2-16*x+13)/(x-1)^3 ogf] A342253 3.98813 [{-a(n+7)+3*a(n+6)-3*a(n+5)+a(n+4),a(0)=13,a(1)=23,a(2)=31,a(3)=37,a(4)=41,a(5)=43,a(6)=47} ogf] A342280 5.80082 [(x^21-x^20+4*x^6+7*x^5+7*x^4+6*x^3+7*x^2+7*x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A342280 6.14458 [(x^21-x^20+4*x^6+7*x^5+7*x^4+6*x^3+7*x^2+7*x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A342288 13.1023 [2*hypergeom([1/2,5/2],[2,4],16*x) egf] A342288 4.26587 [{a(n+2)*n^2-16*a(n+1)*n^2+8*a(n+2)*n-80*a(n+1)*n+15*a(n+2)-84*a(n+1),a(0)=2,a(1)=5} ogf] A342300 7.4557 [-x*(1189*x^8-7122*x^7+17753*x^6-23575*x^5+17556*x^4-9610*x^3-33*x^2+3*x-1)/(x-1)^6 ogf] A342300 7.99305 [-x*(1189*x^8-7122*x^7+17753*x^6-23575*x^5+17556*x^4-9610*x^3-33*x^2+3*x-1)/(x-1)^6 ogf] A342327 4.2487 [-(11786355*x^4-18476982*x^3+7781500*x^2-1145498*x+64705)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A342327 4.50426 [-(11786355*x^4-18476982*x^3+7781500*x^2-1145498*x+64705)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A342350 15.1406 [-(38272752*x-38272753)/(x-1)^2 ogf] A342350 17.9574 [-(38272752*x-38272753)/(x-1)^2 ogf] A342350 6.83335 [(f(x)+732401811099505)*(f(x)*x^2-2*f(x)*x+f(x)+38272752*x-38272753) ogf] A342350 8.77465 [{-a(n+2)+2*a(n+1)-a(n),a(0)=38272753,a(1)=38272754} ogf] A342351 18.0546 [-(11880*x-11881)/(x-1)^2 ogf] A342351 21.9583 [-(11880*x-11881)/(x-1)^2 ogf] A342351 8.12457 [(f(x)+70579081)*(f(x)*x^2-2*f(x)*x+f(x)+11880*x-11881) ogf] A342351 9.90801 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11881,a(1)=11882} ogf] A342352 13.4249 [x^4*(2*x^2-5*x+4)/(2*x-1)/(x-1)^3 ogf] A342352 15.6167 [x^4*(2*x^2-5*x+4)/(2*x-1)/(x-1)^3 ogf] A342352 4.34784 [{a(n+7)-5*a(n+6)+9*a(n+5)-7*a(n+4)+2*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=4,a(5)=15,a(6)=41} ogf] A342362 13.5096 [(x^4+8*x^3+10*x^2+8*x+1)/(x+1)^2/(x-1)^4 ogf] A342362 15.2528 [(x^4+8*x^3+10*x^2+8*x+1)/(x+1)^2/(x-1)^4 ogf] A342362 4.70485 [{-a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=31,a(3)=76,a(4)=145,a(5)=254} ogf] A342369 12.2746 [x*(x^4+4*x^3+6*x^2+x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A342369 13.6197 [x*(x^4+4*x^3+6*x^2+x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A342369 8.21685 [{-a(n+6)+2*a(n+3)-a(n),a(0)=0,a(1)=2,a(2)=1,a(3)=6,a(4)=8,a(5)=3} ogf] A342379 12.4164 [x^5*(2*x^3-7*x^2+9*x-5)/(2*x-1)/(x-1)^4 ogf] A342379 14.159 [x^5*(2*x^3-7*x^2+9*x-5)/(2*x-1)/(x-1)^4 ogf] A342380 10.6186 [x^6*(2*x^4-9*x^3+16*x^2-14*x+6)/(2*x-1)/(x-1)^5 ogf] A342380 11.8865 [x^6*(2*x^4-9*x^3+16*x^2-14*x+6)/(2*x-1)/(x-1)^5 ogf] A342397 16.8148 [x*(2*x^2+3*x+2)/(x+1)^2/(x-1)^4 ogf] A342397 19.5601 [x*(2*x^2+3*x+2)/(x+1)^2/(x-1)^4 ogf] A342397 4.89003 [{-a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=7,a(3)=18,a(4)=35,a(5)=62} ogf] A342404 12.2097 [-x^4*(17*x^2-20*x+6)/(2*x-1)^3/(x-1)^4 ogf] A342404 13.9857 [-x^4*(17*x^2-20*x+6)/(2*x-1)^3/(x-1)^4 ogf] A342405 3.88938 [-(58708205*f(x)-3343938102)*(17496*f(x)*x^4-6966*f(x)*x^3+963*f(x)*x^2+2916*x^3-54*f(x)*x+162*x^2+f(x)-45*x) ogf] A342405 4.35302 [{a(n+4)-54*a(n+3)+963*a(n+2)-6966*a(n+1)+17496*a(n),a(0)=0,a(1)=45,a(2)=2268,a(3)=76221} ogf] A342405 7.30339 [-9*x*(324*x^2+18*x-5)/(12*x-1)/(6*x-1)/(9*x-1)/(27*x-1) ogf] A342405 8.01592 [-9*x*(324*x^2+18*x-5)/(12*x-1)/(6*x-1)/(9*x-1)/(27*x-1) ogf] A342482 11.018 [2*x*(4*x^3-14*x^2+17*x-6)/(2*x-1)^2/(x-1)^3 ogf] A342482 12.4171 [2*x*(4*x^3-14*x^2+17*x-6)/(2*x-1)^2/(x-1)^3 ogf] A342482 4.54811 [{-a(n+5)+7*a(n+4)-19*a(n+3)+25*a(n+2)-16*a(n+1)+4*a(n),a(0)=0,a(1)=12,a(2)=50,a(3)=150,a(4)=392} ogf] A342483 8.49529 [x*(24*x^5-124*x^4+262*x^3-285*x^2+150*x-30)/(2*x-1)^3/(x-1)^4 ogf] A342483 9.31411 [x*(24*x^5-124*x^4+262*x^3-285*x^2+150*x-30)/(2*x-1)^3/(x-1)^4 ogf] A342558 5.97507 [-(x^2-x+1)*(x^16+x^14-2*x^12-x^11+x^9+x^8-x^6-2*x^5+x^3+x^2-1)/(x-1)^2 ogf] A342558 6.34562 [-(x^2-x+1)*(x^16+x^14-2*x^12-x^11+x^9+x^8-x^6-2*x^5+x^3+x^2-1)/(x-1)^2 ogf] A342568 12.7172 [-(3*x^3-7*x^2+x-1)/(x^2-4*x+1)^2 ogf] A342568 14.6368 [-(3*x^3-7*x^2+x-1)/(x^2-4*x+1)^2 ogf] A342568 5.31335 [-(303*f(x)-214)*(f(x)*x^4-8*f(x)*x^3+18*f(x)*x^2+3*x^3-8*f(x)*x-7*x^2+f(x)+x-1) ogf] A342568 5.62137 [{-a(n+4)+8*a(n+3)-18*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=45,a(3)=239} ogf] A342580 5.03417 [16*(24282*x^3-37805*x^2+14992*x-2729)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A342580 5.39699 [16*(24282*x^3-37805*x^2+14992*x-2729)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A342676 6.45527 [x^18/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A342676 6.96156 [x^18/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A342696 7.17222 [x^12/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A342696 7.69383 [x^12/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A342709 10.8084 [-(x^2+16*x+1)/(x-1)/(x^2-47*x+1) ogf] A342709 5.10156 [(3815451*f(x)-134756)*(f(x)*x^3-48*f(x)*x^2+48*f(x)*x+x^2-f(x)+16*x+1) ogf] A342709 5.79723 [{a(n+3)-48*a(n+2)+48*a(n+1)-a(n),a(0)=1,a(1)=64,a(2)=3025} ogf] A342709 9.51784 [-(x^2+16*x+1)/(x-1)/(x^2-47*x+1) ogf] A342710 16.3482 [-3*(x-1)/(x^2-7*x+1) ogf] A342710 19.8829 [-3*(x-1)/(x^2-7*x+1) ogf] A342710 7.74387 [-(1645*f(x)-1047)*(f(x)*x^2-7*f(x)*x+f(x)+3*x-3) ogf] A342710 9.80891 [{a(n+2)-7*a(n+1)+a(n),a(0)=3,a(1)=18} ogf] A342728 7.31141 [-x*(15*x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)/(4*x^3-1)/(4*x^3+1) ogf] A342728 7.86321 [-x*(15*x^6-x^5-x^4-x^3-x^2-x-1)/(x-1)/(4*x^3-1)/(4*x^3+1) ogf] A342737 14.5061 [-(x^4-6*x^3+16*x^2-24*x+19)/(x-1)^5 ogf] A342737 16.5784 [-(x^4-6*x^3+16*x^2-24*x+19)/(x-1)^5 ogf] A342737 5.33559 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=19,a(1)=71,a(2)=181,a(3)=379,a(4)=701} ogf] A342759 4.68271 [-(4*x^8-3*x^7-2*x^6+2*x^5+2*x^4+x^3-3*x^2-x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342759 5.01423 [-(4*x^8-3*x^7-2*x^6+2*x^5+2*x^4+x^3-3*x^2-x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342761 4.76805 [{a(n+5)-3*a(n+4)+6*a(n+2)-4*a(n+1),a(0)=4,a(1)=7,a(2)=10,a(3)=15,a(4)=25} ogf] A342761 5.05923 [(10*f(x)-213)*(4*f(x)*x^4-6*f(x)*x^3+6*x^4+9*x^3+3*f(x)*x-11*x^2-f(x)-5*x+4) ogf] A342761 7.36399 [-(6*x^4+9*x^3-11*x^2-5*x+4)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342761 8.08243 [-(6*x^4+9*x^3-11*x^2-5*x+4)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342762 3.29584 [-(x+1)*(4*x^7-7*x^6+5*x^5-3*x^4+3*x^3+x^2-3*x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342762 3.52119 [-(x+1)*(4*x^7-7*x^6+5*x^5-3*x^4+3*x^3+x^2-3*x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342763 6.65483 [-(6*x^8-5*x^7-4*x^6+x^5+5*x^4+2*x^3-4*x^2-x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342763 7.12597 [-(6*x^8-5*x^7-4*x^6+x^5+5*x^4+2*x^3-4*x^2-x+1)/(x-1)/(2*x-1)/(2*x^2-1) ogf] A342764 5.20097 [-(4*x^8-3*x^7-2*x^3+2*x^2+x-1)/(2*x^5-2*x^3-3*x^2+1)/(x-1)^2 ogf] A342764 5.64837 [-(4*x^8-3*x^7-2*x^3+2*x^2+x-1)/(2*x^5-2*x^3-3*x^2+1)/(x-1)^2 ogf] A342850 12.8966 [-54*(7*x-3)/(7*x-1)/(3*x-1) ogf] A342850 15.3531 [-54*(7*x-3)/(7*x-1)/(3*x-1) ogf] A342850 6.78771 [(52*f(x)+5859)*(21*f(x)*x^2-10*f(x)*x+f(x)+378*x-162) ogf] A342850 7.96089 [{-a(n+2)+10*a(n+1)-21*a(n),a(0)=162,a(1)=1242} ogf] A342851 6.1235 [x*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A342851 6.46134 [x*(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A342856 10.7191 [-(5*x^4-20*x^3+30*x^2-20*x-1)/(x-1)^4 egf] A342856 12.2504 [-(5*x^4-20*x^3+30*x^2-20*x-1)/(x-1)^4 egf] A342856 3.74876 [{a(n+1)*n^2+20*a(n)*n^2-a(n+2)*n-13*a(n+1)*n+80*a(n)*n-2*a(n+2)+10*a(n+1),a(0)=1,a(1)=24} ogf] A342856 4.48381 [-(f(x)+11)*(f(x)*x^4-4*f(x)*x^3+5*x^4+6*f(x)*x^2-20*x^3-4*f(x)*x+30*x^2+f(x)-20*x-1) egf] A342872 3.92104 [-x*(x^2+x+1)*(2*x^30+2*x^27+2*x^24-2*x^21-x^15+x^12+x^9+x^6-x^3+1)/(x-1)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1) ogf] A342872 4.08441 [-x*(x^2+x+1)*(2*x^30+2*x^27+2*x^24-2*x^21-x^15+x^12+x^9+x^6-x^3+1)/(x-1)/(x^2+1)/(x^4-x^2+1)/(x^12-x^6+1) ogf] A342873 10.91 [x*(4*x^4+3*x^3+25*x^2+9*x+7)/(x+1)^3/(x-1)^4 ogf] A342873 12.2324 [x*(4*x^4+3*x^3+25*x^2+9*x+7)/(x+1)^3/(x-1)^4 ogf] A342902 8.88921 [(61*x^8-61*x^7+28*x^6-28*x^5+63*x^4-30*x^3+1446*x^2-3207*x+1729)/(x-1)^2 ogf] A342902 9.62998 [(61*x^8-61*x^7+28*x^6-28*x^5+63*x^4-30*x^3+1446*x^2-3207*x+1729)/(x-1)^2 ogf] A342903 15.0822 [(9*x^4-9*x^3+24*x^2-73*x+50)/(x-1)^2 ogf] A342903 17.4025 [(9*x^4-9*x^3+24*x^2-73*x+50)/(x-1)^2 ogf] A342903 7.29782 [-(3398*f(x)+431243)*(-9*x^4+f(x)*x^2+9*x^3-2*f(x)*x-24*x^2+f(x)+73*x-50) ogf] A342903 7.35715 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=50,a(1)=27,a(2)=28,a(3)=20,a(4)=21} ogf] A342906 4.78367 [{-a(n+3)*n+8*a(n+2)*n-16*a(n+1)*n-5*a(n+3)+30*a(n+2)-40*a(n+1),a(0)=0,a(1)=2,a(2)=11} ogf] A342906 5.85414 [-16*f(x)^2*x^4+8*f(x)^2*x^3-f(x)^2*x^2+24*f(x)*x^3-30*f(x)*x^2+10*f(x)*x-9*x^2-f(x)+2*x ogf] A342906 9.00153 [-1/2*I*((-1+4*x)^(3/2)+6*I*x^2-6*I*x+I)/(-1+4*x)/x^2 ogf] A342912 4.64482 [{-a(n+3)*n+2*a(n+2)*n+3*a(n+1)*n-6*a(n+3)+8*a(n+2)+12*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A342912 7.23922 [1/2*(I*(3*x-1)^(1/2)-2*(x+1)^(1/2)*x+(x+1)^(1/2))/(x+1)^(1/2)/x^3 ogf] A342912 8.45845 [-f(x)^2*x^4-f(x)^2*x^3-2*f(x)*x^2-f(x)*x+f(x)-1 ogf] A342914 18.888 [-(3*x^2+9*x+1)/(x-1)^3 ogf] A342914 22.9718 [-(3*x^2+9*x+1)/(x-1)^3 ogf] A342914 7.20304 [(9971*f(x)-55331)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+9*x+1) ogf] A342914 8.01848 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=36} ogf] A342938 3.92633 [-(x^16-2*x^15+x^13-2*x^12+x^11-2*x^10+2*x^9-x^8+x^7-x^3-x^2+x-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^8-x^4+1)/(x-1)^2 ogf] A342938 4.08107 [-(x^16-2*x^15+x^13-2*x^12+x^11-2*x^10+2*x^9-x^8+x^7-x^3-x^2+x-1)/(x^4+1)/(x^2+x+1)/(x^2-x+1)/(x^8-x^4+1)/(x-1)^2 ogf] A342939 13.255 [(x^5-3*x^4+3*x^3-2*x^2+x-1)/(x-1)^3 ogf] A342939 15.1154 [(x^5-3*x^4+3*x^3-2*x^2+x-1)/(x-1)^3 ogf] A342939 5.74384 [{a(n+6)-3*a(n+5)+3*a(n+4)-a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=7,a(4)=11,a(5)=16} ogf] A342983 10.3273 [hypergeom([1/4,1/2,3/4],[2,2],256*x) ogf] A342983 2.62634 [{-a(n+2)*n^3+256*a(n+1)*n^3-8*a(n+2)*n^2+1152*a(n+1)*n^2-21*a(n+2)*n+1712*a(n+1)*n-18*a(n+2)+840*a(n+1),a(0)=1,a(1)=6} ogf] A342994 12.1037 [660/(1000*x-1)/(x-1) ogf] A342994 14.9516 [660/(1000*x-1)/(x-1) ogf] A342994 4.49871 [(1001001001001*f(x)+1983301980000)*(1000*f(x)*x^2-1001*f(x)*x+f(x)-660) ogf] A342994 5.84315 [{-a(n+2)+1001*a(n+1)-1000*a(n),a(0)=660,a(1)=660660} ogf] A343007 14.6019 [-(x^3+x+6)/(x+1)/(x-1)^3 ogf] A343007 16.9859 [-(x^3+x+6)/(x+1)/(x-1)^3 ogf] A343007 6.99419 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=6,a(1)=13,a(2)=26,a(3)=41} ogf] A343007 7.17507 [(952*f(x)-5951)*(f(x)*x^4-2*f(x)*x^3+x^3+2*f(x)*x-f(x)+x+6) ogf] A343008 11.6662 [(7*x^2-29*x+28)/(x+1)/(x^2-3*x+1) ogf] A343008 13.3631 [(7*x^2-29*x+28)/(x+1)/(x^2-3*x+1) ogf] A343008 5.87977 [(5089993*f(x)-4771609)*(f(x)*x^3-2*f(x)*x^2-2*f(x)*x-7*x^2+f(x)+29*x-28) ogf] A343008 6.80529 [{a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=28,a(1)=27,a(2)=117} ogf] A343010 10.2206 [x*(x+1)^3/(x^2+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A343010 5.14555 [{-a(n+6)+17*a(n+4)+17*a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=20,a(4)=52,a(5)=357} ogf] A343010 9.21116 [x*(x+1)^3/(x^2+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A343028 17.0409 [x*(4*x^2+4*x+3)/(x^2+x+1)/(x-1)^2 ogf] A343028 19.4326 [x*(4*x^2+4*x+3)/(x^2+x+1)/(x-1)^2 ogf] A343028 8.93271 [-(1562*f(x)-695)*(f(x)*x^4-f(x)*x^3-4*x^3-f(x)*x-4*x^2+f(x)-3*x) ogf] A343028 9.54876 [{a(n+4)-a(n+3)-a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=7,a(3)=11} ogf] A343034 10.9749 [-(7*x^3+19*x^2-13*x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A343034 7.22032 [(485760*f(x)+289183)*(f(x)*x^4-38*f(x)*x^2+7*x^3+19*x^2+f(x)-13*x-1) ogf] A343034 7.99142 [{a(n+4)-38*a(n+2)+a(n),a(0)=1,a(1)=13,a(2)=19,a(3)=487} ogf] A343034 9.91706 [-(7*x^3+19*x^2-13*x-1)/(x^2+6*x-1)/(x^2-6*x-1) ogf] A343048 8.99796 [x*(27720*x^35+2100*x^23+180*x^13+24*x^7+4*x^3+x+1)/(x-1)^2 ogf] A343077 8.67434 [(15*x^15-15*x^14+2415*x^3+635313570*x^2-1270634641*x+635318657)/(x-1)^2 ogf] A343077 9.45405 [(15*x^15-15*x^14+2415*x^3+635313570*x^2-1270634641*x+635318657)/(x-1)^2 ogf] A343080 14.834 [(27*x^3+245*x^2-596*x+325)/(x-1)^2 ogf] A343080 17.3063 [(27*x^3+245*x^2-596*x+325)/(x-1)^2 ogf] A343080 6.9807 [-(2597*f(x)+88901)*(f(x)*x^2-27*x^3-2*f(x)*x-245*x^2+f(x)+596*x-325) ogf] A343080 7.48381 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=325,a(1)=54,a(2)=28,a(3)=29} ogf] A343081 7.14567 [(28*x^13-28*x^12+35*x^9-7*x^8-28*x^7+546*x^4-86*x^3+3420*x^2-8983*x+5104)/(x-1)^2 ogf] A343081 7.67992 [(28*x^13-28*x^12+35*x^9-7*x^8-28*x^7+546*x^4-86*x^3+3420*x^2-8983*x+5104)/(x-1)^2 ogf] A343082 6.65675 [(255*x^15-255*x^14+2160*x^6-2160*x^5+1550*x^4+10804*x^3+782607*x^2-1606498*x+811538)/(x-1)^2 ogf] A343082 7.11583 [(255*x^15-255*x^14+2160*x^6-2160*x^5+1550*x^4+10804*x^3+782607*x^2-1606498*x+811538)/(x-1)^2 ogf] A343084 8.95064 [(6*x^7-6*x^6+18*x^5-18*x^4+78*x^3+899*x^2-2081*x+1105)/(x-1)^2 ogf] A343084 9.80308 [(6*x^7-6*x^6+18*x^5-18*x^4+78*x^3+899*x^2-2081*x+1105)/(x-1)^2 ogf] A343085 5.21771 [(35*x^17-35*x^16+21*x^14-21*x^13+7*x^11-7*x^10+33*x^7+182*x^6-58*x^5+470*x^4+101*x^3+11190*x^2-25813*x+13896)/(x-1)^2 ogf] A343085 5.49414 [(35*x^17-35*x^16+21*x^14-21*x^13+7*x^11-7*x^10+33*x^7+182*x^6-58*x^5+470*x^4+101*x^3+11190*x^2-25813*x+13896)/(x-1)^2 ogf] A343098 8.11109 [-(x^9-x^7+x^6+6*x^5+x^4-7*x^3-2*x^2+3*x+1)/(x+1)^4/(x-1)^5 ogf] A343098 8.78004 [-(x^9-x^7+x^6+6*x^5+x^4-7*x^3-2*x^2+3*x+1)/(x+1)^4/(x-1)^5 ogf] A343099 6.19574 [-(8*x^23-8*x^22+8*x^14-8*x^13+8*x^12-8*x^11+8*x^8-8*x^7+8*x^6-8*x^5+8*x^3+8*x^2+11*x-35)/(x-1)^2 ogf] A343099 6.56841 [-(8*x^23-8*x^22+8*x^14-8*x^13+8*x^12-8*x^11+8*x^8-8*x^7+8*x^6-8*x^5+8*x^3+8*x^2+11*x-35)/(x-1)^2 ogf] A343101 3.22861 [(2040*x^15+360*x^14+2318*x^13-502*x^12-7111*x^11+155*x^10+2753*x^9-13*x^8+8*x^3+8*x^2-8*x-2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A343101 3.37052 [(2040*x^15+360*x^14+2318*x^13-502*x^12-7111*x^11+155*x^10+2753*x^9-13*x^8+8*x^3+8*x^2-8*x-2)/(x-1)/(2*x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A343118 18.863 [-(x^35+x^8+x^7+x^2+2)/(x-1) ogf] A343118 21.4648 [-(x^35+x^8+x^7+x^2+2)/(x-1) ogf] A343121 2.1484 [(f(x)*x-f(x)+2)^2 ogf] A343122 20.6391 [-(24*x^35+4*x^7+x^2+1)/(x-1) ogf] A343122 23.8766 [-(24*x^35+4*x^7+x^2+1)/(x-1) ogf] A343124 6.82793 [x*(4*x^7+10*x^6+22*x^5+31*x^4+27*x^3+16*x^2+9*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A343124 7.30708 [x*(4*x^7+10*x^6+22*x^5+31*x^4+27*x^3+16*x^2+9*x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^6 ogf] A343169 6.41625 [(11*x^10+5*x^4+20*x^3+44*x+29)/(x^11+x^5+5*x^4+22*x^2+29*x+228) lgdogf] A343175 10.6152 [-(4*x^3+6*x^2-9*x+2)/(x-1)/(2*x-1)/(-1+4*x) ogf] A343175 11.8459 [-(4*x^3+6*x^2-9*x+2)/(x-1)/(2*x-1)/(4*x-1) ogf] A343175 6.43596 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=2,a(1)=5,a(2)=13,a(3)=41} ogf] A343175 6.53894 [-(f(x)+46)*(8*f(x)*x^3-14*f(x)*x^2+4*x^3+7*f(x)*x+6*x^2-f(x)-9*x+2) ogf] A343176 10.4572 [-(4*x-3)*(x^2+3*x-1)/(x-1)/(2*x-1)/(-1+4*x) ogf] A343176 11.6032 [-(4*x-3)*(x^2+3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A343176 6.51562 [-(486*f(x)+5879)*(8*f(x)*x^3-14*f(x)*x^2+4*x^3+7*f(x)*x+9*x^2-f(x)-13*x+3) ogf] A343176 6.66953 [{-a(n+4)+7*a(n+3)-14*a(n+2)+8*a(n+1),a(0)=3,a(1)=8,a(2)=23,a(3)=77} ogf] A343177 12.3946 [-(2*x^3+7*x^2-2*x-4)/(x-1)/(2*x^2-1) ogf] A343177 14.0201 [-(2*x^3+7*x^2-2*x-4)/(x-1)/(2*x^2-1) ogf] A343177 6.78751 [-(14*f(x)-201)*(2*f(x)*x^3-2*f(x)*x^2+2*x^3-f(x)*x+7*x^2+f(x)-2*x-4) ogf] A343177 6.89699 [{-a(n+4)+a(n+3)+2*a(n+2)-2*a(n+1),a(0)=4,a(1)=6,a(2)=7,a(3)=9} ogf] A343200 12.4331 [(x+2)*(x^2+2*x+2)/(x-1)^4/(x+1)^4 ogf_with_Euler_transform] A343273 5.14847 [-(33*x^6-360*x^5+3602*x^3-3265*x^2-358*x+308)/(x-1)/(x^2-10*x+1)/(x^4-10*x^2+1) ogf] A343273 5.49171 [-(33*x^6-360*x^5+3602*x^3-3265*x^2-358*x+308)/(x-1)/(x^2-10*x+1)/(x^4-10*x^2+1) ogf] A343276 12.6674 [(x^2-2*x-5)/(x-1)/(x+1) lgdegf] A343276 3.15277 [{-a(n+2)*n^2+a(n+1)*n^2+a(n+3)*n-8*a(n+2)*n+6*a(n+1)*n+2*a(n+3)-17*a(n+2)+8*a(n+1),a(0)=0,a(1)=1,a(2)=10} ogf] A343280 3.95981 [-(4*x^7+3*x^6+2*x^4+5*x^3+6*x+7)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A343280 4.26151 [-(4*x^7+3*x^6+2*x^4+5*x^3+6*x+7)/(x-1)/(x^2+x+1)/(x^6+x^3+1) ogf] A343291 12.5336 [-(x^3-5*x^2+4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A343291 14.2927 [-(x^3-5*x^2+4*x-1)/(2*x-1)^2/(x-1)^2 ogf] A343291 5.69711 [-(4*f(x)+3)*(4*f(x)*x^4-12*f(x)*x^3+13*f(x)*x^2+x^3-6*f(x)*x-5*x^2+f(x)+4*x-1) ogf] A343291 5.99034 [{-a(n+4)+6*a(n+3)-13*a(n+2)+12*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=4,a(3)=9} ogf] A343304 13.3779 [f(x)^2*x^4+f(x)*x^3+x^2-f(x)+x+1 ogf] A343305 9.55102 [f(x)*(f(x)^2*x^5+f(x)*x^4+x^3+x^2-f(x)+x+1) ogf] A343314 4.77262 [x^2*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^5+x^4+5*x^3+x^2+x+1)/(x^7+x^6+5*x^5+x^4+x^3+x^2-1) ogf] A343314 4.99854 [x^2*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^5+x^4+5*x^3+x^2+x+1)/(x^7+x^6+5*x^5+x^4+x^3+x^2-1) ogf] A343315 4.71009 [x^2*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^5+2*x^4+4*x^3+x^2+x+1)/(x^7+2*x^6+4*x^5+x^4+x^3+x^2-1) ogf] A343315 4.93306 [x^2*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^5+2*x^4+4*x^3+x^2+x+1)/(x^7+2*x^6+4*x^5+x^4+x^3+x^2-1) ogf] A343318 4.65541 [-(1766597*f(x)+17696807)*(64*f(x)*x^4-120*f(x)*x^3+70*f(x)*x^2+216*x^3-15*f(x)*x-280*x^2+f(x)+93*x-8) ogf] A343318 5.302 [{-a(n+4)+15*a(n+3)-70*a(n+2)+120*a(n+1)-64*a(n),a(0)=8,a(1)=27,a(2)=125,a(3)=729} ogf] A343318 8.12221 [-(216*x^3-280*x^2+93*x-8)/(x-1)/(8*x-1)/(2*x-1)/(-1+4*x) ogf] A343318 8.87776 [-(216*x^3-280*x^2+93*x-8)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A343328 7.28632 [-x*(x-1)*(12*x^8-21*x^7-21*x^6-2*x^4+3*x^2+4*x+2)/(x^3-2*x^2-x+1) ogf] A343328 7.8468 [-x*(x-1)*(12*x^8-21*x^7-21*x^6-2*x^4+3*x^2+4*x+2)/(x^3-2*x^2-x+1) ogf] A343331 14.4436 [-(x-1)/(10*x-1)/(10*x^2-1) ogf_with_Euler_transform] A343349 30.7564 [-1/(4*x-1) ogf_with_Euler_transform] A343350 31.4162 [-1/(5*x-1) ogf_with_Euler_transform] A343351 31.0178 [-1/(6*x-1) ogf_with_Euler_transform] A343352 33.0518 [-1/(7*x-1) ogf_with_Euler_transform] A343353 31.4804 [-1/(8*x-1) ogf_with_Euler_transform] A343354 29.4267 [-1/(9*x-1) ogf_with_Euler_transform] A343355 30.5538 [-1/(10*x-1) ogf_with_Euler_transform] A343360 15.7564 [-(x-1)/(3*x-1)/(3*x^2-1) ogf_with_Euler_transform] A343361 13.7236 [-(x-1)/(2*x+1)/(2*x-1)/(4*x-1) ogf_with_Euler_transform] A343362 14.819 [-(x-1)/(5*x-1)/(5*x^2-1) ogf_with_Euler_transform] A343363 14.631 [-(x-1)/(6*x-1)/(6*x^2-1) ogf_with_Euler_transform] A343364 15.5905 [-(x-1)/(7*x-1)/(7*x^2-1) ogf_with_Euler_transform] A343365 14.8492 [-(x-1)/(8*x-1)/(8*x^2-1) ogf_with_Euler_transform] A343366 13.313 [-(x-1)/(3*x-1)/(3*x+1)/(9*x-1) ogf_with_Euler_transform] A343372 3.64853 [(1625909372*f(x)+12091347961)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x+210*x^2-f(x)-310*x+112) ogf] A343372 4.44864 [{a(n+3)-11*a(n+2)+31*a(n+1)-21*a(n),a(0)=112,a(1)=922,a(2)=6880} ogf] A343372 6.85331 [-2*(105*x^2-155*x+56)/(x-1)/(3*x-1)/(7*x-1) ogf] A343372 7.68402 [-2*(105*x^2-155*x+56)/(x-1)/(3*x-1)/(7*x-1) ogf] A343373 2.98543 [{-a(n+4)+26*a(n+3)-196*a(n+2)+486*a(n+1)-315*a(n),a(0)=3112,a(1)=58984,a(2)=978064,a(3)=15345952} ogf] A343373 4.7294 [-8*(4410*x^3-6804*x^2+2741*x-389)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A343373 5.13623 [-8*(4410*x^3-6804*x^2+2741*x-389)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A343374 4.98438 [-2*(4501665*x^4-7090641*x^3+3025391*x^2-458347*x+29492)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A343374 5.29111 [-2*(4501665*x^4-7090641*x^3+3025391*x^2-458347*x+29492)/(x-1)/(15*x-1)/(3*x-1)/(31*x-1)/(7*x-1) ogf] A343445 14.1661 [2*x+f(x)-f(x)^3 egf] A343461 16.132 [(x^4+x^2+2*x-6)/(x-1) ogf] A343461 19.2797 [(x^4+x^2+2*x-6)/(x-1) ogf] A343461 7.90466 [{-a(n+5)+a(n+4),a(0)=6,a(1)=4,a(2)=3,a(3)=3,a(4)=2} ogf] A343461 9.41031 [(5*f(x)-84)*(-x^4+f(x)*x-x^2-f(x)-2*x+6) ogf] A343462 4.59755 [-(8*x^9-7*x^8-63*x^7+45*x^6+162*x^5-81*x^4-150*x^3+30*x^2+36*x+9)/(x^9-x^8-8*x^7+7*x^6+21*x^5-15*x^4-20*x^3+10*x^2+5*x-1) ogf] A343462 4.81391 [-(8*x^9-7*x^8-63*x^7+45*x^6+162*x^5-81*x^4-150*x^3+30*x^2+36*x+9)/(x^9-x^8-8*x^7+7*x^6+21*x^5-15*x^4-20*x^3+10*x^2+5*x-1) ogf] A343485 4.92208 [2*x*(9*x^8-3*x^7+9*x^6-8*x^5+4*x^4-3*x^3-x^2-1)/(x-1)/(3*x-1)/(3*x^2-1)/(3*x^2+1)/(x^2+1) ogf] A343485 5.19364 [2*x*(9*x^8-3*x^7+9*x^6-8*x^5+4*x^4-3*x^3-x^2-1)/(x-1)/(3*x-1)/(3*x^2-1)/(3*x^2+1)/(x^2+1) ogf] A343539 12.6111 [-(x-1)*(x^2+7*x+1)/(x^2-3*x+1)^2 ogf] A343539 14.3811 [-(x-1)*(x^2+7*x+1)/(x^2-3*x+1)^2 ogf] A343539 5.69252 [(4240*f(x)-2307)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2+x^3-6*f(x)*x+6*x^2+f(x)-6*x-1) ogf] A343539 5.89728 [{-a(n+4)+6*a(n+3)-11*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=12,a(2)=55,a(3)=203} ogf] A343543 14.4605 [x*(3*x^2-4*x+3)/(x^2-3*x+1)^2 ogf] A343543 17.0313 [x*(3*x^2-4*x+3)/(x^2-3*x+1)^2 ogf] A343543 5.63535 [{-a(n+4)+6*a(n+3)-11*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=14,a(3)=54} ogf] A343543 5.71946 [(5*f(x)+2)*(f(x)*x^4-6*f(x)*x^3+11*f(x)*x^2-3*x^3-6*f(x)*x+4*x^2+f(x)-3*x) ogf] A343560 21.6267 [x*(x-9)/(x-1)^3 ogf] A343560 27.5926 [x*(x-9)/(x-1)^3 ogf] A343560 6.89816 [(46272*f(x)-269297)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-x^2-f(x)+9*x) ogf] A343560 7.6941 [{-a(n+3)+3*a(n+2)-3*a(n+1)+a(n),a(0)=0,a(1)=9,a(2)=26} ogf] A343561 22.1817 [-(3*x-2)^2/(2*x-1)^3 ogf] A343561 28.3008 [-(3*x-2)^2/(2*x-1)^3 ogf] A343561 6.95528 [(260*f(x)-2579)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+9*x^2-f(x)-12*x+4) ogf] A343561 7.67031 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=4,a(1)=12,a(2)=33} ogf] A343578 19.1331 [-2*(5*x^2+26*x+1)/(x-1)^3 ogf] A343578 23.1611 [-2*(5*x^2+26*x+1)/(x-1)^3 ogf] A343578 7.27373 [(4472*f(x)-136699)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+10*x^2-f(x)+52*x+2) ogf] A343578 8.22543 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=58,a(2)=178} ogf] A343582 20.5505 [(1+6*x)/(2*x+1) lgdegf] A343582 5.03278 [{2*a(n+2)*n-6*a(n+1)*n+a(n+3)+3*a(n+2)-12*a(n+1),a(0)=1,a(1)=1,a(2)=5} ogf] A343586 11.0938 [-5*(160*x-7)/(100*x-1)/(10*x-1) ogf] A343586 13.0232 [-5*(160*x-7)/(100*x-1)/(10*x-1) ogf] A343586 5.99066 [-(531*f(x)+20)*(1000*f(x)*x^2-110*f(x)*x+f(x)+800*x-35) ogf] A343586 7.21766 [{a(n+2)-110*a(n+1)+1000*a(n),a(0)=35,a(1)=3050} ogf] A343607 3.82055 [-x^2*(x+1)*(x^2-x+1)*(x^12-x^9+x^6-x^3+x+1)/(x-1) ogf] A343607 4.13243 [-x^2*(x+1)*(x^2-x+1)*(x^12-x^9+x^6-x^3+x+1)/(x-1) ogf] A343608 13.0471 [x^11/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A343608 14.98 [x^11/(x^4+x^3+x^2+x+1)^2/(x-1)^4 ogf] A343609 12.4737 [x^9/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A343609 14.1096 [x^9/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A343643 5.40276 [x*(x^51+x^42+x^33-x^26+x^25-x^17-x^16-x^9+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A343643 5.67983 [x*(x^51+x^42+x^33-x^26+x^25-x^17-x^16-x^9+1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A343664 23.8948 [-1/6*x^3+exp(x) lgdegf] A343689 6.13222 [{-4*a(n+2)*n+a(n+3)-14*a(n+2)-a(n+1),a(0)=0,a(1)=1,a(2)=10} ogf] A343773 13.2408 [f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A343773 19.5302 [-x/(x^2-x-1) revogf] A343773 4.5419 [{a(n+3)*n-2*a(n+2)*n+5*a(n+1)*n+5*a(n+3)-7*a(n+2)+10*a(n+1),a(0)=1,a(1)=1,a(2)=0} ogf] A343808 12.2509 [-3*x*(9*x^2+12*x+1)/(x-1)/(3*x-1)^4 ogf] A343808 14.0658 [-3*x*(9*x^2+12*x+1)/(x-1)/(3*x-1)^4 ogf] A343808 4.31565 [{-a(n+5)+13*a(n+4)-66*a(n+3)+162*a(n+2)-189*a(n+1)+81*a(n),a(0)=0,a(1)=3,a(2)=75,a(3)=804,a(4)=5988} ogf] A343832 5.10235 [-1/2*(4*I*x^2+8*x^2*(4*x-1)^(1/2)-5*I*x+3*(4*x-1)^(1/2)*x+I-(4*x-1)^(1/2))/(4*x-1)^(3/2)/x^2 lgdegf] A343842 15.8674 [8*f(x)^2*x+f(x)^2-1 ogf] A343842 25.5011 [-4/(8*x+1) lgdogf] A343842 6.10283 [{a(n+2)*n+8*a(n+1)*n+2*a(n+2)+12*a(n+1),a(0)=1,a(1)=-4} ogf] A343884 14.417 [-(2*x^2-3*x+3)/(x-1)^3 lgdegf] A343885 13.3734 [-(x^2+1)/(x^4+x^3-x^2+x-1) ogf] A343885 15.2504 [-(x^2+1)/(x^4+x^3-x^2+x-1) ogf] A343885 6.48712 [{a(n+4)-a(n+3)+a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1} ogf] A343885 6.95419 [(3*f(x)-2)*(f(x)*x^4+f(x)*x^3-f(x)*x^2+f(x)*x+x^2-f(x)+1) ogf] A343889 2.77259 [(90*x^6-103*x^5+13*x^4+2)/(2*x-1)/(x-1) ogf] A343889 3.13621 [(90*x^6-103*x^5+13*x^4+2)/(2*x-1)/(x-1) ogf] A343896 4.84731 [1/2*(12*I*x^2-8*x^2*(4*x-1)^(1/2)-7*I*x+5*(4*x-1)^(1/2)*x+I-(4*x-1)^(1/2))/(4*x-1)^(3/2)/x^2 lgdegf] A343905 13.3288 [(f(x)-1)^2 ogf] A343916 5.47113 [(x^15-3*x^14+4*x^13-3*x^12+3*x^10-5*x^9+5*x^8-4*x^7+2*x^6-x^5-3*x^4+7*x^3-7*x^2+7*x-4)/(x^2+1)/(x-1)^3 ogf] A343916 5.76292 [(x^15-3*x^14+4*x^13-3*x^12+3*x^10-5*x^9+5*x^8-4*x^7+2*x^6-x^5-3*x^4+7*x^3-7*x^2+7*x-4)/(x^2+1)/(x-1)^3 ogf] A343941 5.68281 [-x^2*(x^12-x^11-x^10+2*x^8+x^7-2*x^6-x^5+x^4+x^3-x+1)/(1+x)/(x^2+x+1)/(x-1)^3 ogf] A343941 6.00755 [-x^2*(x^12-x^11-x^10+2*x^8+x^7-2*x^6-x^5+x^4+x^3-x+1)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A343947 12.9797 [(x^23+x^6+x^3+x^2+3*x-9)/(x-1) ogf] A343947 14.77 [(x^23+x^6+x^3+x^2+3*x-9)/(x-1) ogf] A343949 10.9417 [(4*x^5-x^3+x^2-x-1)/(x+1)/(2*x^2-1)/(x-1)^2 ogf] A343949 4.52962 [{-a(n+6)+a(n+5)+3*a(n+4)-3*a(n+3)-2*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=8,a(4)=12,a(5)=18} ogf] A343949 9.91187 [(4*x^5-x^3+x^2-x-1)/(1+x)/(2*x^2-1)/(x-1)^2 ogf] A343994 15.4208 [-(4*x^4-14*x^3+13*x^2+3)/(x-1)^5 ogf] A343994 17.8397 [-(4*x^4-14*x^3+13*x^2+3)/(x-1)^5 ogf] A343994 5.28968 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=3,a(1)=15,a(2)=58,a(3)=156,a(4)=339} ogf] A344004 14.1036 [x^2/(1+x)/(x^2+x-1)/(x-1)^3 ogf] A344004 16.4063 [x^2/(x+1)/(x^2+x-1)/(x-1)^3 ogf] A344004 4.16532 [{-a(n+6)+3*a(n+5)-a(n+4)-4*a(n+3)+3*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=8,a(5)=17} ogf] A344019 12.4561 [4*(9*x^5-27*x^4+32*x^3-24*x^2+15*x-6)/(x-1)^3 egf] A344019 13.9891 [4*(9*x^5-27*x^4+32*x^3-24*x^2+15*x-6)/(x-1)^3 egf] A344054 21.0854 [-1/6*x^2*(x^2-x+3)/(x-1)^3 egf] A344054 24.8339 [-1/6*x^2*(x^2-x+3)/(x-1)^3 egf] A344054 9.55151 [-f(x)*(6*f(x)*x^3+x^4-18*f(x)*x^2-x^3+18*f(x)*x+3*x^2-6*f(x)) egf] A344055 2.96535 [{a(n+3)*n^2-8*a(n+2)*n^2+12*a(n+1)*n^2+6*a(n+3)*n-44*a(n+2)*n+60*a(n+1)*n+8*a(n+3)-60*a(n+2)+72*a(n+1),a(0)=0,a(1)=1,a(2)=8} ogf] A344055 6.54955 [12*f(x)^2*x^3-8*f(x)^2*x^2+f(x)^2*x+12*f(x)*x^2-8*f(x)*x+f(x)-x ogf] A344055 7.45741 [-1/2*((6*x-1)^(1/2)*(2*x-1)^(1/2)-4*x+1)/(6*x-1)^(1/2)/(2*x-1)^(1/2)/x ogf] A344097 10.6785 [-(x^4+5*x^3+10*x^2+10*x+5)/(x-1)^5/(x+1)^5 ogf_with_Euler_transform] A344099 9.71185 [-(x^5+5*x^4+10*x^3+10*x^2+4*x+1)/(x-1)^5/(x+1)^5 ogf_with_Euler_transform] A344100 9.33659 [(x^6+6*x^5+15*x^4+20*x^3+15*x^2+5*x+1)/(x-1)^6/(x+1)^6 ogf_with_Euler_transform] A344109 11.3574 [(332*f(x)-1327)*(2*f(x)*x^2+f(x)*x-f(x)-3*x+4) ogf] A344109 13.813 [{-a(n+2)+a(n+1)+2*a(n),a(0)=4,a(1)=1} ogf] A344109 22.7147 [(3*x-4)/(1+x)/(2*x-1) ogf] A344109 27.626 [(3*x-4)/(x+1)/(2*x-1) ogf] A344120 2.74852 [-x^2*(6*x^64+x^62+2*x^61-x^60-12*x^10-12*x^9-12*x^7-6*x^3-6*x^2-6)/(x^66+x^65-2*x^64+x^63-2*x^62-2*x^61+x^60-12*x^14+6*x^7+6) ogf] A344120 2.86674 [-x^2*(6*x^64+x^62+2*x^61-x^60-12*x^10-12*x^9-12*x^7-6*x^3-6*x^2-6)/(x^66+x^65-2*x^64+x^63-2*x^62-2*x^61+x^60-12*x^14+6*x^7+6) ogf] A344121 11.8795 [-(49*x^2-42*x-5)/(x-1)/(7*x+1)/(7*x-1) ogf] A344121 13.3881 [-(49*x^2-42*x-5)/(x-1)/(7*x+1)/(7*x-1) ogf] A344121 6.53836 [-(857854*f(x)+896581)*(49*f(x)*x^3-49*f(x)*x^2-f(x)*x+49*x^2+f(x)-42*x-5) ogf] A344121 7.73805 [{-a(n+3)+a(n+2)+49*a(n+1)-49*a(n),a(0)=5,a(1)=47,a(2)=243} ogf] A344126 7.00281 [-(2*x^8-3*x^7+7*x^6+16*x^5+28*x^4+22*x^3+18*x^2+5*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A344126 7.51678 [-(2*x^8-3*x^7+7*x^6+16*x^5+28*x^4+22*x^3+18*x^2+5*x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A344136 5.04019 [4*f(x)^2*x^4-f(x)^2*x^3+12*f(x)*x^3-27*f(x)*x^2+14*f(x)*x+9*x^2-2*f(x)-8*x+2 ogf] A344191 5.47331 [4*f(x)^2*x^3-f(x)^2*x^2-12*f(x)*x^2+7*f(x)*x+9*x^2-f(x)-6*x+1 ogf] A344191 6.35611 [1/2*(2*I*x-I+(4*x-1)^(1/2))*(-1+3*x)/(4*x-1)^(1/2)/x^2 ogf] A344215 16.0741 [-x^2*(5*x-2)/(-1+3*x)^2/(2*x-1)^2 ogf] A344215 18.9317 [-x^2*(5*x-2)/(3*x-1)^2/(2*x-1)^2 ogf] A344215 6.21844 [{-a(n+4)+10*a(n+3)-37*a(n+2)+60*a(n+1)-36*a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=15} ogf] A344215 7.67501 [36*f(x)*x^4-60*f(x)*x^3+37*f(x)*x^2+5*x^3-10*f(x)*x-2*x^2+f(x) ogf] A344216 6.58169 [-I*(4*I*ln(x-1)+4*I*x-I+4*Pi)/(x-1)^3 egf] A344217 5.42121 [I*(2*I*ln(2)+4*I*ln(x-1)-I*ln(3*x^4-12*x^3+18*x^2-12*x+4)+4*Pi) egf] A344228 4.48774 [-1/2*(3*(4*x-1)^(3/2)*x+8*I*x^3-2*(4*x-1)^(3/2)-24*I*x^2+15*I*x-2*I)/(4*x-1)^(3/2)/x^2 ogf] A344236 12.6101 [-x*(2*x+1)/(1+x)/(4*x^2+x-1) ogf] A344236 14.5135 [-x*(2*x+1)/(x+1)/(4*x^2+x-1) ogf] A344236 8.27111 [-(9*f(x)+2)*(4*f(x)*x^3+5*f(x)*x^2+2*x^2-f(x)+x) ogf] A344236 9.04957 [{a(n+3)-5*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=2} ogf] A344259 5.10616 [x*(4*x^39-x^35-4*x^31+2*x^15-x^13-x^8-x^7+x^5+x^3+1)/(1+x)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A344259 5.38595 [x*(4*x^39-x^35-4*x^31+2*x^15-x^13-x^8-x^7+x^5+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A344261 13.495 [(2*x^2-1)/(1+x)/(4*x^2+x-1) ogf] A344261 15.6982 [(2*x^2-1)/(x+1)/(4*x^2+x-1) ogf] A344261 8.01264 [-(23*f(x)-752)*(4*f(x)*x^3+5*f(x)*x^2-2*x^2-f(x)+1) ogf] A344261 9.04957 [{a(n+3)-5*a(n+1)-4*a(n),a(0)=1,a(1)=0,a(2)=3} ogf] A344262 13.9097 [-1/(x-1)*(1+x)*cosh(x) egf] A344282 20.9618 [-(288*x+71)/(x-1) ogf] A344310 3.17943 [-x^4*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+2*x^7+2*x^6+4*x^5+5*x^4+6*x^3+4*x^2+2*x+1)/(x-1)/(1+x)/(x^2+1)/(x^2+x+1) ogf] A344310 3.28767 [-x^4*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+2*x^7+2*x^6+4*x^5+5*x^4+6*x^3+4*x^2+2*x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1) ogf] A344389 5.43278 [-(3265920*x^10+3265920*x^9+1632960*x^8+544320*x^7+136080*x^6+27216*x^5+4536*x^4+648*x^3+81*x^2+9*x+1)/(x-1) ogf] A344389 5.74322 [-(3265920*x^10+3265920*x^9+1632960*x^8+544320*x^7+136080*x^6+27216*x^5+4536*x^4+648*x^3+81*x^2+9*x+1)/(x-1) ogf] A344396 7.63356 [1/18*(-35*x^2-35*x-8+((13*x^2+10*x+1)*(8+13*x)^2)^(1/2))/(2*x+1)^2 revogf] A344399 10.6238 [-4*(10*x^2+x+1)/(4*x-1)/(20*x^2-6*x+1) lgdogf] A344399 3.12464 [{-a(n+4)*n+10*a(n+3)*n-44*a(n+2)*n+80*a(n+1)*n-4*a(n+4)+34*a(n+3)-84*a(n+2)+120*a(n+1),a(0)=1,a(1)=4,a(2)=30,a(3)=200} ogf] A344400 9.27313 [-(16*x^3+24*x^2+30*x+17)/(4*x-1)/(8*x^3+3*x+1) lgdogf] A344401 6.45444 [-(80*x^4-134*x^3+3*x^2-152*x-49)/(4*x-1)/(40*x^4-49*x^3+15*x^2-13*x-2) lgdogf] A344402 7.95641 [-(81*x^2+9*x+1)*(4782969*x^6+2187*x^3+1)/(31381059609*x^9-1) ogf] A344402 8.70525 [-(81*x^2+9*x+1)*(4782969*x^6+2187*x^3+1)/(31381059609*x^9-1) ogf] A344410 7.38448 [-(x^7-943*x^6-15567*x^5-35135*x^4-15337*x^3-1065*x^2+7*x-1)/(x-1)^8 ogf] A344410 8.01295 [-(x^7-943*x^6-15567*x^5-35135*x^4-15337*x^3-1065*x^2+7*x-1)/(x-1)^8 ogf] A344418 15.1758 [-1/(x-1)*(1+x)*sinh(x) egf] A344420 7.36751 [x^11/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A344420 7.93974 [x^11/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A344423 4.12995 [(1219789880221*f(x)+15500544872410)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+13100*x^2-f(x)-12421*x+212) ogf] A344423 5.12914 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=212,a(1)=11111,a(2)=1011101} ogf] A344423 7.75625 [-(13100*x^2-12421*x+212)/(x-1)/(100*x-1)/(10*x-1) ogf] A344423 8.59477 [-(13100*x^2-12421*x+212)/(x-1)/(100*x-1)/(10*x-1) ogf] A344504 4.65729 [1/2*(3*I*(1+x)^(1/2)*x^2+(-1+3*x)^(3/2)*x-4*I*(1+x)^(1/2)*x+(-1+3*x)^(3/2)+I*(1+x)^(1/2))/(-1+3*x)^(5/2)/x ogf] A344504 5.00879 [27*f(x)^2*x^4-27*f(x)^2*x^3+9*f(x)^2*x^2-9*f(x)*x^3-f(x)^2*x-3*f(x)*x^2+5*f(x)*x+x^2-f(x)+x ogf] A344506 15.1747 [x*(3*x+1)/(13*x^2+7*x+1) revogf] A344506 9.53282 [-13*f(x)^2*x^2+3*f(x)^2*x-7*f(x)*x+f(x)-1 ogf] A344507 10.3533 [-3*f(x)^2*x^2-2*f(x)^2*x+3*f(x)*x+f(x)-1 ogf] A344507 15.3308 [-x*(2*x-1)/(3*x^2-3*x+1) revogf] A344507 3.43622 [{2*a(n+4)*n-a(n+3)*n-12*a(n+2)*n-9*a(n+1)*n+10*a(n+4)+a(n+3)-33*a(n+2)-18*a(n+1),a(0)=1,a(1)=-1,a(2)=2,a(3)=-2} ogf] A344543 7.70973 [(2*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(1+x)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A344543 8.20315 [(2*x^9+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A344553 16.79 [-x*(2*x-1)^2/(x-1) revogf] A344553 9.59427 [-4*f(x)^3*x^2+4*f(x)^2*x-f(x)*x-f(x)+1 ogf] A344558 13.6391 [x*(1+x)/(6*x^2+3*x+1) revogf] A344558 8.50233 [-6*f(x)^2*x^2+f(x)^2*x-3*f(x)*x+f(x)-1 ogf] A344564 30.1048 [-3/(2*x-1)^5 ogf] A344564 4.25209 [{a(n+5)-10*a(n+4)+40*a(n+3)-80*a(n+2)+80*a(n+1)-32*a(n),a(0)=3,a(1)=30,a(2)=180,a(3)=840,a(4)=3360} ogf] A344564 44.2718 [-3/(2*x-1)^5 ogf] A344576 4.57956 [-f(x)^2*x^4+13*f(x)^2*x^3-44*f(x)^2*x^2+6*f(x)*x^3+13*f(x)^2*x-36*f(x)*x^2-f(x)^2+6*f(x)*x-8*x^2 ogf] A344576 6.04351 [-(-3*x^2+((x^2-6*x+1)*(1+x)^2)^(1/2)+18*x-3)*x/(x^2-7*x+1)/(x^2-6*x+1) ogf] A344623 6.43775 [f(x)^2*x^3+f(x)^2*x^2-f(x)^2*x-f(x)*x^2-f(x)*x+f(x)-x-1 ogf] A344623 6.72515 [-1/2*(x^2+((5*x^2-5*x-1)*(x^2-x-1))^(1/2)-x-1)/(x^2-x-1) revogf] A344638 3.56468 [{a(n+5)-112*a(n+4)+346*a(n+3)-306*a(n+2)+57*a(n+1)-2*a(n),a(0)=15,a(1)=1548,a(2)=168386,a(3)=18328142,a(4)=1994963186} ogf] A344638 6.59129 [-(5*x^4-72*x^3+200*x^2-132*x+15)/(2*x^5-57*x^4+306*x^3-346*x^2+112*x-1) ogf] A344638 7.12936 [-(5*x^4-72*x^3+200*x^2-132*x+15)/(2*x^5-57*x^4+306*x^3-346*x^2+112*x-1) ogf] A344679 14.2214 [2*x^2*(x^3+3*x^2-57*x-43)/(x-1)^5 ogf] A344679 16.4522 [2*x^2*(x^3+3*x^2-57*x-43)/(x-1)^5 ogf] A344679 4.34747 [{a(n+6)-5*a(n+5)+10*a(n+4)-10*a(n+3)+5*a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=86,a(3)=544,a(4)=1854,a(5)=4688} ogf] A344684 3.31938 [-(702*f(x)-71)*(f(x)*x^4-2*f(x)*x^3-7*f(x)*x^2+x^3-2*f(x)*x+x^2+f(x)-x-1) ogf] A344684 3.51463 [{a(n+4)-2*a(n+3)-7*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=12,a(3)=46} ogf] A344684 6.54781 [-(x-1)*(1+x)^2/(x^4-2*x^3-7*x^2-2*x+1) ogf] A344684 7.35369 [-(x-1)*(x+1)^2/(x^4-2*x^3-7*x^2-2*x+1) ogf] A344717 4.74697 [-1/2*((4*x-1)^(3/2)*x^2+8*I*x^3+(4*x-1)^(3/2)*x-11*I*x^2-(4*x-1)^(3/2)+7*I*x-I)/(4*x-1)^(3/2)/x^3 ogf] A344734 7.04376 [(x^8+x^7+x^6+5*x^5-x^4+8*x^3+2*x^2+2*x+1)/(x-1)^2/(1+x)^2/(x^2+1)^2 ogf] A344734 7.56073 [(x^8+x^7+x^6+5*x^5-x^4+8*x^3+2*x^2+2*x+1)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A344747 12.0705 [-x*(x-2)/(x-1)/(-1+3*x)/(2*x+1) ogf] A344747 13.7646 [-x*(x-2)/(x-1)/(3*x-1)/(2*x+1) ogf] A344747 6.94319 [(3725*f(x)+1679)*(6*f(x)*x^3-5*f(x)*x^2-2*f(x)*x+x^2+f(x)-2*x) ogf] A344747 7.61728 [{-a(n+3)+2*a(n+2)+5*a(n+1)-6*a(n),a(0)=0,a(1)=2,a(2)=3} ogf] A344791 15.1731 [(x^2-2*x-2)/(1+x)/(x-1)^5 ogf] A344791 17.8706 [(x^2-2*x-2)/(x+1)/(x-1)^5 ogf] A344791 4.3944 [{-a(n+6)+4*a(n+5)-5*a(n+4)+5*a(n+2)-4*a(n+1)+a(n),a(0)=2,a(1)=10,a(2)=29,a(3)=66,a(4)=129,a(5)=228} ogf] A344795 6.37311 [-(x^25-x^24+x^23-x^22+x^9-x^8+x^7-x^6+x^5+x^4+6*x^2+11*x-20)/(x-1)^2 ogf] A344795 6.78762 [-(x^25-x^24+x^23-x^22+x^9-x^8+x^7-x^6+x^5+x^4+6*x^2+11*x-20)/(x-1)^2 ogf] A344805 10.6257 [-(x^8-x^7+x^6-x^5+x^4+x^3+3*x-6)/(x-1)^2 ogf] A344805 9.62565 [-(x^8-x^7+x^6-x^5+x^4+x^3+3*x-6)/(x-1)^2 ogf] A344806 7.31441 [-(x^11-x^10+x^9-x^8+x^7+x^6-2*x^4+4*x^3-2*x^2+18*x-21)/(x-1)^2 ogf] A344806 7.8717 [-(x^11-x^10+x^9-x^8+x^7+x^6-2*x^4+4*x^3-2*x^2+18*x-21)/(x-1)^2 ogf] A344807 7.19668 [-(x^26-x^25+x^21-x^20+2*x^7-x^6-x^5+x^4+x^3+27*x-30)/(x-1)^2 ogf] A344807 7.73475 [-(x^26-x^25+x^21-x^20+2*x^7-x^6-x^5+x^4+x^3+27*x-30)/(x-1)^2 ogf] A344808 5.61079 [-(x^14-x^13+x^12-x^11+x^10+x^9-2*x^8+x^7-x^6+7*x^5-7*x^4+2*x^3+2*x^2+31*x-36)/(x-1)^2 ogf] A344808 5.9314 [-(x^14-x^13+x^12-x^11+x^10+x^9-2*x^8+x^7-x^6+7*x^5-7*x^4+2*x^3+2*x^2+31*x-36)/(x-1)^2 ogf] A344809 7.80557 [-(x^22-x^21+x^8-x^7+x^6-x^5+x^4+x^3+51*x-54)/(x-1)^2 ogf] A344809 8.44933 [-(x^22-x^21+x^8-x^7+x^6-x^5+x^4+x^3+51*x-54)/(x-1)^2 ogf] A344810 4.95471 [-(x^23-x^22+x^18-x^17+x^16-x^15+x^14-x^13+2*x^10-2*x^9+x^8-x^7+2*x^6-x^4+x^3+51*x-54)/(x-1)^2 ogf] A344810 5.20244 [-(x^23-x^22+x^18-x^17+x^16-x^15+x^14-x^13+2*x^10-2*x^9+x^8-x^7+2*x^6-x^4+x^3+51*x-54)/(x-1)^2 ogf] A344811 5.59227 [-(x^27-x^26+x^13-x^12+x^11-x^10+x^9+x^8-2*x^6+7*x^5-7*x^4+2*x^3+2*x^2+55*x-60)/(x-1)^2 ogf] A344811 5.90956 [-(x^27-x^26+x^13-x^12+x^11-x^10+x^9+x^8-2*x^6+7*x^5-7*x^4+2*x^3+2*x^2+55*x-60)/(x-1)^2 ogf] A344812 7.28289 [-(x^26-x^25+x^21-x^20+2*x^7-x^6-x^5+x^4+x^3+75*x-78)/(x-1)^2 ogf] A344812 7.82741 [-(x^26-x^25+x^21-x^20+2*x^7-x^6-x^5+x^4+x^3+75*x-78)/(x-1)^2 ogf] A344853 4.718 [2*x^3*(3*x^24+x^21+x^18+2*x^15+x^12+x^9+2*x^6+x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A344853 4.94402 [2*x^3*(3*x^24+x^21+x^18+2*x^15+x^12+x^9+2*x^6+x^3+1)/(x^2+x+1)/(x^6+x^3+1)/(x^18+x^9+1)/(x-1)^2 ogf] A344866 15.6021 [-x*(7*x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A344866 17.9572 [-x*(7*x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A344866 5.63154 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=16,a(3)=99,a(4)=352} ogf] A344907 15.8047 [-3*x*(3*x^3+23*x^2+5*x+1)/(x-1)^5 ogf] A344907 18.3334 [-3*x*(3*x^3+23*x^2+5*x+1)/(x-1)^5 ogf] A344907 5.39219 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=3,a(2)=30,a(3)=189,a(4)=684} ogf] A344920 14.8532 [x*(2*x-1)/(1+x)/(2*x+1) ogf] A344920 17.7513 [x*(2*x-1)/(x+1)/(2*x+1) ogf] A344920 7.82586 [{-a(n+3)-3*a(n+2)-2*a(n+1),a(0)=0,a(1)=-1,a(2)=5} ogf] A344920 8.56241 [-f(x)*(2*f(x)*x^2+3*f(x)*x-2*x^2+f(x)+x) ogf] A344935 15.0376 [-1/(x-1)*(1+x)*cos(x) egf] A345009 4.337 [-(x^5-x^4-x^3-x^2-x-1)*(x^25-x^20-x^15-x^10-x^5-1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1) ogf] A345009 4.51771 [-(x^5-x^4-x^3-x^2-x-1)*(x^25-x^20-x^15-x^10-x^5-1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^20+x^15+x^10+x^5+1) ogf] A345018 4.50437 [(15*x^25-64*x^24+64*x^23-48*x^15+48*x^14-8*x^9-9*x^6+9*x^5-3)/(15*x^25-8*x^9-3)/(x-1)^2 ogf] A345018 4.80218 [(15*x^25-64*x^24+64*x^23-48*x^15+48*x^14-8*x^9-9*x^6+9*x^5-3)/(15*x^25-8*x^9-3)/(x-1)^2 ogf] A345019 10.5195 [(x^4+x^3+6*x^2+x+1)/(1+x)/(x^2+1)/(x-1)^2 ogf] A345019 11.6125 [(x^4+x^3+6*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A345019 6.93147 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=8,a(3)=9,a(4)=11} ogf] A345021 5.01606 [{-a(n+6)+a(n+4)-a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=1,a(4)=1,a(5)=2} ogf] A345021 8.54587 [-x*(2*x^4+x^3+1)/(x-1)/(1+x)/(x^4+1) ogf] A345021 9.48241 [-x*(2*x^4+x^3+1)/(x-1)/(x+1)/(x^4+1) ogf] A345031 16.0009 [x^2/(2*x-1)/(x^2+4*x-1) ogf] A345031 19.4605 [x^2/(2*x-1)/(x^2+4*x-1) ogf] A345031 7.05921 [{-a(n+3)+6*a(n+2)-7*a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A345031 8.88937 [2*f(x)*x^3+7*f(x)*x^2-6*f(x)*x-x^2+f(x) ogf] A345073 4.36721 [-(x^2+x+1)*(4*x^48+3*x^33+9*x^30+9*x^27+9*x^24+9*x^21+9*x^18+9*x^15+9*x^12+9*x^9+9*x^6+9*x^3+6)/(3*x^51-2*x^48+3*x^33-3) ogf] A345073 4.56917 [-(x^2+x+1)*(4*x^48+3*x^33+9*x^30+9*x^27+9*x^24+9*x^21+9*x^18+9*x^15+9*x^12+9*x^9+9*x^6+9*x^3+6)/(3*x^51-2*x^48+3*x^33-3) ogf] A345075 13.8635 [-(x^2-4*x-1)/(x^2+x-1)^2 lgdegf] A345075 3.04452 [{-a(n+4)*n+2*a(n+3)*n+a(n+2)*n-2*a(n+1)*n-a(n)*n-4*a(n+4)+7*a(n+3)+6*a(n+2)-3*a(n+1),a(0)=1,a(1)=1,a(2)=7/2,a(3)=43/6} egf] A345102 8.43308 [I*(I*ln(2)-I*ln(3*x^2-2*x-2)-Pi) revegf] A345103 10.7988 [-I*(Pi+I*ln((2*x+1)*(x-1))) revegf] A345118 10.4804 [-x*(x^4+3*x^3-x^2-x+4)/(x^4+1)/(x-1)^3 ogf] A345118 11.6289 [-x*(x^4+3*x^3-x^2-x+4)/(x^4+1)/(x-1)^3 ogf] A345132 13.3153 [1/2*(x^2-2*x-2)/(x-1) lgdegf] A345132 3.02355 [{a(n+1)*n^2-2*a(n+3)*n-2*a(n+2)*n+5*a(n+1)*n+2*a(n+4)-8*a(n+3)-6*a(n+2)+6*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=10} ogf] A345189 12.689 [1/3*(x+2+(-8*x^2-8*x+1)^(1/2))*x revogf] A345190 11.0333 [-1/3*(-1-x+(-8*x^2+8*x+1)^(1/2))*(x-1) revogf] A345211 8.32428 [2*(1+x)*(x^2+x+1)*(x^2-x+1)^2/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A345211 8.98363 [2*(x+1)*(x^2+x+1)*(x^2-x+1)^2/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A345225 4.2458 [-(x^14+x^13+x^12+16*x^11+2*x^10+2*x^9+x^8-16*x^7-x^6-x^5-x^4-16*x^3-2*x^2-2*x-1)/(x-1)^2/(1+x)^2/(x^2+1)^2/(x^4+1)^2 ogf] A345225 4.4294 [-(x^14+x^13+x^12+16*x^11+2*x^10+2*x^9+x^8-16*x^7-x^6-x^5-x^4-16*x^3-2*x^2-2*x-1)/(x-1)^2/(x+1)^2/(x^2+1)^2/(x^4+1)^2 ogf] A345240 4.5111 [-(9*x^13+16*x^12-151*x^11+16*x^10+13*x^9+60*x^8+77*x^7+252*x^6+283*x^5+278*x^4+229*x^3+158*x^2+52*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A345240 4.70831 [-(9*x^13+16*x^12-151*x^11+16*x^10+13*x^9+60*x^8+77*x^7+252*x^6+283*x^5+278*x^4+229*x^3+158*x^2+52*x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A345339 10.2006 [(9*f(x)+181)*(f(x)*x^2-2*f(x)*x+f(x)+2*x-20) ogf] A345339 11.8112 [{-a(n+2)+2*a(n+1)-a(n),a(0)=20,a(1)=38} ogf] A345339 23.6225 [-2*(x-10)/(x-1)^2 ogf] A345339 29.9218 [-2*(x-10)/(x-1)^2 ogf] A345340 4.29183 [192*f(x)^2*x^4-128*f(x)^2*x^3-32*f(x)^2*x^2-24*f(x)*x^3+32*f(x)^2*x+4*f(x)*x^2-4*f(x)^2+6*f(x)*x+x^2-f(x) ogf] A345340 5.92682 [1/8*(12*x^2+(-(2*x+1)*(6*x-1)*(2*x-1)^2)^(1/2)+4*x-1)/(6*x-1)/(2*x+1)/(2*x-1) ogf] A345367 5.28555 [-1/(x-1)*hypergeom([-1/24,5/24],[2/3],256/27*x)*hypergeom([7/24,13/24],[4/3],256/27*x) ogf] A345377 15.9149 [-(x^33+x^10+x^3+x+1)/(x-1) ogf] A345377 18.2298 [-(x^33+x^10+x^3+x+1)/(x-1) ogf] A345378 5.61194 [-x^2*(1+x)*(x^2-x+1)*(x^31-x^28+x^25-x^22+x^19-x^16+x^13-x^10+x^7+x^6-x^4-x^3+x+1)/(x-1) ogf] A345378 5.87759 [-x^2*(x+1)*(x^2-x+1)*(x^31-x^28+x^25-x^22+x^19-x^16+x^13-x^10+x^7+x^6-x^4-x^3+x+1)/(x-1) ogf] A345379 14.8256 [-x^2*(x^45+x^16+x^5+x+1)/(x-1) ogf] A345379 16.8358 [-x^2*(x^45+x^16+x^5+x+1)/(x-1) ogf] A345448 15.8434 [-1/(2*x^4+4*x^3+x^2+x-1) ogf] A345448 18.9348 [-1/(2*x^4+4*x^3+x^2+x-1) ogf] A345448 5.79347 [{a(n+4)-a(n+3)-a(n+2)-4*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=7} ogf] A345448 6.41591 [(755*f(x)-108)*(2*f(x)*x^4+4*f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+1) ogf] A345455 10.5897 [-(26*x^2+14*x-1)/(32*x-1)/(x^2-11*x-1) ogf] A345455 4.89373 [(434889521*f(x)-35089082)*(32*f(x)*x^3-353*f(x)*x^2-21*f(x)*x+26*x^2+f(x)+14*x-1) ogf] A345455 5.87248 [{a(n+3)-21*a(n+2)-353*a(n+1)+32*a(n),a(0)=1,a(1)=7,a(2)=474} ogf] A345455 9.36192 [-(26*x^2+14*x-1)/(32*x-1)/(x^2-11*x-1) ogf] A345456 10.1376 [(44*x^2+x+1)/(32*x-1)/(x^2-11*x-1) ogf] A345456 11.5858 [(44*x^2+x+1)/(32*x-1)/(x^2-11*x-1) ogf] A345456 4.80597 [-(664449841*f(x)+83193900)*(32*f(x)*x^3-353*f(x)*x^2-21*f(x)*x-44*x^2+f(x)-x-1) ogf] A345456 5.8451 [{-a(n+3)+21*a(n+2)+353*a(n+1)-32*a(n),a(0)=1,a(1)=22,a(2)=859} ogf] A345457 10.2634 [(24*x^2+36*x+1)/(32*x-1)/(x^2-11*x-1) ogf] A345457 4.23925 [-(6958232369*f(x)+600752280)*(32*f(x)*x^3-353*f(x)*x^2-21*f(x)*x-24*x^2+f(x)-36*x-1) ogf] A345457 5.22336 [{a(n+3)-21*a(n+2)-353*a(n+1)+32*a(n),a(0)=1,a(1)=57,a(2)=1574} ogf] A345457 9.00025 [(24*x^2+36*x+1)/(32*x-1)/(x^2-11*x-1) ogf] A345458 4.39998 [(499441939249*f(x)+4301971824)*(32*f(x)*x^3-353*f(x)*x^2-21*f(x)*x+16*x^2+f(x)-106*x-1) ogf] A345458 5.37342 [{-a(n+3)+21*a(n+2)+353*a(n+1)-32*a(n),a(0)=1,a(1)=127,a(2)=3004} ogf] A345458 8.67424 [-(16*x^2-106*x-1)/(32*x-1)/(x^2-11*x-1) ogf] A345458 9.7935 [-(16*x^2-106*x-1)/(32*x-1)/(x^2-11*x-1) ogf] A345476 5.26847 [-(x^19-x^18+x^17-x^16+x^15-x^14+x^13-x^12+3*x^9-2*x^8-x^7+2*x^6-x^4+x^3+75*x-78)/(x-1)^2 ogf] A345476 5.54759 [-(x^19-x^18+x^17-x^16+x^15-x^14+x^13-x^12+3*x^9-2*x^8-x^7+2*x^6-x^4+x^3+75*x-78)/(x-1)^2 ogf] A345477 4.66565 [-(x^19-x^18+x^17-x^16+x^15-x^14+x^13-x^12+x^11-x^10+4*x^8-3*x^7-x^6+2*x^5-x^3+x^2+78*x-81)/(x-1)^2 ogf] A345477 4.88651 [-(x^19-x^18+x^17-x^16+x^15-x^14+x^13-x^12+x^11-x^10+4*x^8-3*x^7-x^6+2*x^5-x^3+x^2+78*x-81)/(x-1)^2 ogf] A345478 10.6799 [-(x^8-x^7+x^6-x^5+x^4+x^3+4*x-7)/(x-1)^2 ogf] A345478 9.67476 [-(x^8-x^7+x^6-x^5+x^4+x^3+4*x-7)/(x-1)^2 ogf] A345479 6.71975 [-(x^14-x^13+x^12-x^11+2*x^8-2*x^7+x^6-x^5+x^4+x^3+19*x-22)/(x-1)^2 ogf] A345479 7.18721 [-(x^14-x^13+x^12-x^11+2*x^8-2*x^7+x^6-x^5+x^4+x^3+19*x-22)/(x-1)^2 ogf] A345480 10.3709 [-(x^8-x^7+x^6-x^5+x^4+x^3+28*x-31)/(x-1)^2 ogf] A345480 9.41724 [-(x^8-x^7+x^6-x^5+x^4+x^3+28*x-31)/(x-1)^2 ogf] A345481 5.48438 [-(x^23-x^22+x^15-x^14+x^13-x^12+x^9-x^8+x^6-x^5+2*x^4-x^3+x^2+34*x-37)/(x-1)^2 ogf] A345481 5.79555 [-(x^23-x^22+x^15-x^14+x^13-x^12+x^9-x^8+x^6-x^5+2*x^4-x^3+x^2+34*x-37)/(x-1)^2 ogf] A345482 6.33049 [-(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+8*x^2+36*x-45)/(x-1)^2 ogf] A345482 6.7456 [-(x^12-x^11+x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+8*x^2+36*x-45)/(x-1)^2 ogf] A345483 10.3745 [-(x^8-x^7+x^6-x^5+x^4+x^3+52*x-55)/(x-1)^2 ogf] A345483 9.42052 [-(x^8-x^7+x^6-x^5+x^4+x^3+52*x-55)/(x-1)^2 ogf] A345484 7.36122 [-(x^20-x^19+x^9-x^8+2*x^7-x^6-x^5+x^4+x^3+52*x-55)/(x-1)^2 ogf] A345484 7.92207 [-(x^20-x^19+x^9-x^8+2*x^7-x^6-x^5+x^4+x^3+52*x-55)/(x-1)^2 ogf] A345485 5.84952 [-(x^18-x^17+x^13-x^12+x^11-x^10+2*x^7-2*x^6+x^5-x^4+2*x^3+2*x^2+56*x-61)/(x-1)^2 ogf] A345485 6.20137 [-(x^18-x^17+x^13-x^12+x^11-x^10+2*x^7-2*x^6+x^5-x^4+2*x^3+2*x^2+56*x-61)/(x-1)^2 ogf] A345486 6.31926 [-(x^12-x^11+x^10-x^9+x^8+x^7-2*x^6+x^5-x^4+7*x^3-7*x^2+68*x-69)/(x-1)^2 ogf] A345486 6.73363 [-(x^12-x^11+x^10-x^9+x^8+x^7-2*x^6+x^5-x^4+7*x^3-7*x^2+68*x-69)/(x-1)^2 ogf] A345487 8.77395 [-(x^9-x^8+x^7-x^6+x^5+x^4+6*x^2+61*x-70)/(x-1)^2 ogf] A345487 9.58075 [-(x^9-x^8+x^7-x^6+x^5+x^4+6*x^2+61*x-70)/(x-1)^2 ogf] A345488 10.6799 [-(x^8-x^7+x^6-x^5+x^4+x^3+5*x-8)/(x-1)^2 ogf] A345488 9.67476 [-(x^8-x^7+x^6-x^5+x^4+x^3+5*x-8)/(x-1)^2 ogf] A345489 7.8717 [-(x^16-x^15+x^8-x^7+x^6-x^5+x^4+x^3+20*x-23)/(x-1)^2 ogf] A345489 8.52091 [-(x^16-x^15+x^8-x^7+x^6-x^5+x^4+x^3+20*x-23)/(x-1)^2 ogf] A345490 10.4235 [-(x^8-x^7+x^6-x^5+x^4+x^3+29*x-32)/(x-1)^2 ogf] A345490 9.46504 [-(x^8-x^7+x^6-x^5+x^4+x^3+29*x-32)/(x-1)^2 ogf] A345491 7.25965 [-(x^19-x^18+x^8-x^7+x^6-x^5+x^4+x^3+3*x^2+26*x-32)/(x-1)^2 ogf] A345491 7.81277 [-(x^19-x^18+x^8-x^7+x^6-x^5+x^4+x^3+3*x^2+26*x-32)/(x-1)^2 ogf] A345492 8.5215 [-(x^10-x^9+x^8-x^7+3*x^4-2*x^3-x^2+45*x-46)/(x-1)^2 ogf] A345492 9.29618 [-(x^10-x^9+x^8-x^7+3*x^4-2*x^3-x^2+45*x-46)/(x-1)^2 ogf] A345493 7.45756 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2+54*x-56)/(x-1)^2 ogf] A345493 8.03121 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2+54*x-56)/(x-1)^2 ogf] A345494 10.4261 [-(x^8-x^7+x^6-x^5+x^4+x^3+53*x-56)/(x-1)^2 ogf] A345494 9.46739 [-(x^8-x^7+x^6-x^5+x^4+x^3+53*x-56)/(x-1)^2 ogf] A345495 7.95904 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3+53*x-56)/(x-1)^2 ogf] A345495 8.62229 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3+53*x-56)/(x-1)^2 ogf] A345496 7.92753 [-(x^16-x^15+x^8-x^7+x^6-x^5+2*x^4-x^2+60*x-62)/(x-1)^2 ogf] A345496 8.58135 [-(x^16-x^15+x^8-x^7+x^6-x^5+2*x^4-x^2+60*x-62)/(x-1)^2 ogf] A345497 7.93208 [-(x^11-x^10+x^9-x^8+2*x^5-2*x^4+x^3-x^2+69*x-70)/(x-1)^2 ogf] A345497 8.58627 [-(x^11-x^10+x^9-x^8+2*x^5-2*x^4+x^3-x^2+69*x-70)/(x-1)^2 ogf] A345498 10.6799 [-(x^8-x^7+x^6-x^5+x^4+x^3+6*x-9)/(x-1)^2 ogf] A345498 9.67476 [-(x^8-x^7+x^6-x^5+x^4+x^3+6*x-9)/(x-1)^2 ogf] A345499 10.4624 [-(x^8-x^7+x^6-x^5+x^4+x^3+21*x-24)/(x-1)^2 ogf] A345499 9.50033 [-(x^8-x^7+x^6-x^5+x^4+x^3+21*x-24)/(x-1)^2 ogf] A345500 10.4762 [-(x^8-x^7+x^6-x^5+x^4+x^3+30*x-33)/(x-1)^2 ogf] A345500 9.51285 [-(x^8-x^7+x^6-x^5+x^4+x^3+30*x-33)/(x-1)^2 ogf] A345501 7.99785 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3+30*x-33)/(x-1)^2 ogf] A345501 8.66434 [-(x^10-x^9+x^8-x^7+x^6-x^5+x^4+x^3+30*x-33)/(x-1)^2 ogf] A345502 10.2414 [-(x^13-x^12+x^5-x^4+x^3-x^2+46*x-47)/(x-1)^2 ogf] A345502 9.32083 [-(x^13-x^12+x^5-x^4+x^3-x^2+46*x-47)/(x-1)^2 ogf] A345503 8.66277 [-(x^8-x^7+x^6-x^5+x^4-x^3+7*x^2+40*x-48)/(x-1)^2 ogf] A345503 9.45935 [-(x^8-x^7+x^6-x^5+x^4-x^3+7*x^2+40*x-48)/(x-1)^2 ogf] A345504 7.99672 [-(x^9-x^8+x^7-x^6+x^5-x^4+x^3+x^2+54*x-57)/(x-1)^2 ogf] A345504 8.67013 [-(x^9-x^8+x^7-x^6+x^5-x^4+x^3+x^2+54*x-57)/(x-1)^2 ogf] A345505 10.4777 [-(x^8-x^7+x^6-x^5+x^4+x^3+54*x-57)/(x-1)^2 ogf] A345505 9.51425 [-(x^8-x^7+x^6-x^5+x^4+x^3+54*x-57)/(x-1)^2 ogf] A345508 10.5965 [-(x^8-x^7+x^6-x^5+x^4+x^3+7*x-10)/(x-1)^2 ogf] A345508 9.6108 [-(x^8-x^7+x^6-x^5+x^4+x^3+7*x-10)/(x-1)^2 ogf] A345509 10.4624 [-(x^8-x^7+x^6-x^5+x^4+x^3+22*x-25)/(x-1)^2 ogf] A345509 9.50033 [-(x^8-x^7+x^6-x^5+x^4+x^3+22*x-25)/(x-1)^2 ogf] A345510 10.5288 [-(x^8-x^7+x^6-x^5+x^4+x^3+31*x-34)/(x-1)^2 ogf] A345510 9.56065 [-(x^8-x^7+x^6-x^5+x^4+x^3+31*x-34)/(x-1)^2 ogf] A345660 2.90035 [(f(x)-1)^2*(19702316018*x^4+81920*f(x)*x-99253*f(x)-81920*x+99253) ogf] A345661 5.72401 [-(f(x)-1)^3 ogf] A345662 5.80136 [-(f(x)-1)^3 ogf] A345701 17.3553 [(4*x^3+9*x^2+6*x-1)/(x-1)^4 ogf] A345701 20.7417 [(4*x^3+9*x^2+6*x-1)/(x-1)^4 ogf] A345701 5.98879 [(328*f(x)+1423)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-9*x^2+f(x)-6*x+1) ogf] A345701 6.253 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=-1,a(1)=2,a(2)=23,a(3)=80} ogf] A345702 8.16099 [-(647*x^6+36942*x^5+195681*x^4+195716*x^3+36921*x^2+654*x-1)/(x-1)^7 ogf] A345702 8.87844 [-(647*x^6+36942*x^5+195681*x^4+195716*x^3+36921*x^2+654*x-1)/(x-1)^7 ogf] A345735 12.4164 [-(17*x^3-11*x^2-17*x+17)/(1+x)/(x-1)^3 ogf] A345735 14.0448 [-(17*x^3-11*x^2-17*x+17)/(x+1)/(x-1)^3 ogf] A345735 6.64134 [-(f(x)-293)*(f(x)*x^4-2*f(x)*x^3+17*x^3+2*f(x)*x-11*x^2-f(x)-17*x+17) ogf] A345735 7.13944 [{-a(n+4)+2*a(n+3)-2*a(n+1)+a(n),a(0)=17,a(1)=17,a(2)=23,a(3)=29} ogf] A345887 6.53595 [-(exp(x)*x^3-3*exp(x)*x^2+2*exp(x)*x+2*exp(x)-x-1)/(x-1)^3 egf] A345889 4.70141 [{-a(n+2)*n+a(n+1)*n+a(n+3)-6*a(n+2)+5*a(n+1),a(0)=1,a(1)=4,a(2)=16} ogf] A345897 13.6497 [-(7*x^4-x^3+14*x^2-5*x+1)/(x-1)^5 ogf] A345897 15.6719 [-(7*x^4-x^3+14*x^2-5*x+1)/(x-1)^5 ogf] A345897 5.0374 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=4,a(3)=29,a(4)=107} ogf] A345908 2.17865 [4*f(x)^2*x^3-4*f(x)*x^3+f(x)^2*x-f(x)^2-f(x)*x+f(x)+x ogf] A345953 20.1181 [-1/(2*x^5+4*x^3+x-1) ogf] A345953 24.9952 [-1/(2*x^5+4*x^3+x-1) ogf] A345953 6.44407 [{-a(n+5)+a(n+4)+4*a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5,a(4)=9} ogf] A345953 8.33172 [(f(x)-1)*(2*f(x)*x^5+4*f(x)*x^3+f(x)*x-f(x)+1) ogf] A345954 22.7972 [x^3/(-1+3*x)/(2*x-1)^3 ogf] A345954 29.0861 [x^3/(3*x-1)/(2*x-1)^3 ogf] A345954 6.29475 [{a(n+4)-9*a(n+3)+30*a(n+2)-44*a(n+1)+24*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A345954 8.26958 [-24*f(x)*x^4+44*f(x)*x^3-30*f(x)*x^2+x^3+9*f(x)*x-f(x) ogf] A345963 11.1391 [-(16*x^2-2*x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A345963 12.5535 [-(16*x^2-2*x+1)/(x-1)/(4*x-1)/(16*x-1) ogf] A345963 6.48257 [(16943*f(x)-2588)*(64*f(x)*x^3-84*f(x)*x^2+21*f(x)*x+16*x^2-f(x)-2*x+1) ogf] A345963 7.18976 [{a(n+3)-21*a(n+2)+84*a(n+1)-64*a(n),a(0)=1,a(1)=19,a(2)=331} ogf] A346004 14.0515 [x*(2*x^3-x^2-2*x-1)/(x-1)^3/(1+x)^3 ogf] A346004 16.0236 [x*(2*x^3-x^2-2*x-1)/(x-1)^3/(x+1)^3 ogf] A346004 6.57083 [{-a(n+6)+3*a(n+4)-3*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=4,a(4)=4,a(5)=9} ogf] A346005 8.53963 [x*(3*x^8-3*x^7+x^6-6*x^5+4*x^3+3*x^2+3*x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A346005 9.24393 [x*(3*x^8-3*x^7+x^6-6*x^5+4*x^3+3*x^2+3*x+1)/(x-1)^4/(x^2+x+1)^4 ogf] A346006 5.32891 [x*(4*x^15-6*x^14+4*x^13-x^12-12*x^11+6*x^10+12*x^9-11*x^8+12*x^7+6*x^6-12*x^5-11*x^4-4*x^3-6*x^2-4*x-1)/(x-1)^5/(1+x)^5/(x^2+1)^5 ogf] A346006 5.56444 [x*(4*x^15-6*x^14+4*x^13-x^12-12*x^11+6*x^10+12*x^9-11*x^8+12*x^7+6*x^6-12*x^5-11*x^4-4*x^3-6*x^2-4*x-1)/(x-1)^5/(x+1)^5/(x^2+1)^5 ogf] A346047 11.4955 [f(x)^2*x^3-f(x)*x^3+x^2-f(x)+x+1 ogf] A346048 10.5166 [-f(x)^2*x^4+f(x)*x^4-x^3-x^2+f(x)-x-1 ogf] A346054 13.0604 [-(x-1)/(4*x^4-5*x^3-3*x^2-x+1) ogf] A346054 15.0318 [-(x-1)/(4*x^4-5*x^3-3*x^2-x+1) ogf] A346054 5.99011 [{a(n+4)-a(n+3)-3*a(n+2)-5*a(n+1)+4*a(n),a(0)=1,a(1)=0,a(2)=3,a(3)=8} ogf] A346054 6.03549 [-(69597*f(x)-2224)*(4*f(x)*x^4-5*f(x)*x^3-3*f(x)*x^2-f(x)*x+f(x)+x-1) ogf] A346075 6.16178 [(f(x)+2)*(f(x)^2*x^4-f(x)^2*x^3-f(x)*x^4+f(x)*x^3-f(x)*x+f(x)-1) ogf] A346102 8.50417 [-(2*x+1)*(3*x^4+9*x^2+1)*(125*x^24+5*x^18+625*x^12+25*x^6+1)/(7*x^15-1)/(7*x^15+1) ogf] A346102 9.05729 [-(2*x+1)*(3*x^4+9*x^2+1)*(125*x^24+5*x^18+625*x^12+25*x^6+1)/(7*x^15-1)/(7*x^15+1) ogf] A346174 13.4375 [x*(4*x^4-8*x^3+6*x^2-2*x+1)/(2*x-1)^4 ogf] A346174 15.4658 [x*(4*x^4-8*x^3+6*x^2-2*x+1)/(2*x-1)^4 ogf] A346174 4.73808 [{-a(n+6)+8*a(n+5)-24*a(n+4)+32*a(n+3)-16*a(n+2),a(0)=0,a(1)=1,a(2)=6,a(3)=30,a(4)=120,a(5)=420} ogf] A346178 11.0071 [{a(n+2)-10*a(n+1),a(0)=1,a(1)=8} ogf] A346178 15.5535 [-10*f(x)*x+f(x)+2*x-1 ogf] A346178 21.043 [(2*x-1)/(10*x-1) ogf] A346178 27.5178 [(2*x-1)/(10*x-1) ogf] A346197 2.54307 [(2*x^6-2*x^4-x^3+6*x^2+8*x+7)/(x^2+x+1)/(x-1)^2 ogf] A346197 2.80729 [(2*x^6-2*x^4-x^3+6*x^2+8*x+7)/(x^2+x+1)/(x-1)^2 ogf] A346224 3.51999 [{-a(n+1)*n^3-7*a(n+1)*n^2-2*a(n+2)*n-16*a(n+1)*n+2*a(n+3)-6*a(n+2)-12*a(n+1),a(0)=1,a(1)=1,a(2)=3} ogf] A346258 16.2435 [(-1)^(1/3)*exp(x)/(3*x-1)^(1/3) egf] A346258 5.00657 [{-3*a(n+2)*n+3*a(n+1)*n+a(n+3)-8*a(n+2)+6*a(n+1),a(0)=1,a(1)=2,a(2)=7} ogf] A346273 11.91 [(x-1)*(x-5)/(5*x^2-24*x+1) ogf] A346273 13.9813 [(x-1)*(x-5)/(5*x^2-24*x+1) ogf] A346273 6.36772 [-(-37+224*f(x))*(5*f(x)*x^2-24*f(x)*x-x^2+f(x)+6*x-5) ogf] A346273 6.43139 [{a(n+3)-24*a(n+2)+5*a(n+1),a(0)=5,a(1)=114,a(2)=2712} ogf] A346295 11.0964 [3*(5*x^2-5*x+1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A346295 12.5517 [3*(5*x^2-5*x+1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A346295 5.54821 [(553*f(x)+6420)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-15*x^2+f(x)+15*x-3) ogf] A346295 5.54821 [{a(n+4)-8*a(n+3)+21*a(n+2)-22*a(n+1)+8*a(n),a(0)=3,a(1)=9,a(2)=24,a(3)=69} ogf] A346310 11.2803 [-(32*x^21-32*x^20+8*x^5-8*x^4+2*x-3)/(x-1)^2 ogf] A346310 12.6686 [-(32*x^21-32*x^20+8*x^5-8*x^4+2*x-3)/(x-1)^2 ogf] A346317 12.338 [(4*x^3-7*x^2+5*x-1)/(4*x-1)/(2*x-1)^2 ogf] A346317 14.2004 [(4*x^3-7*x^2+5*x-1)/(4*x-1)/(2*x-1)^2 ogf] A346317 5.87985 [{a(n+4)-8*a(n+3)+20*a(n+2)-16*a(n+1),a(0)=1,a(1)=3,a(2)=11,a(3)=40} ogf] A346317 6.06952 [(68*f(x)-127)*(16*f(x)*x^3-20*f(x)*x^2-4*x^3+8*f(x)*x+7*x^2-f(x)-5*x+1) ogf] A346318 6.83301 [(96*x^6-256*x^5+298*x^4-201*x^3+75*x^2-14*x+1)/(-1+6*x)/(4*x-1)^2/(2*x-1)^3 ogf] A346318 7.39081 [(96*x^6-256*x^5+298*x^4-201*x^3+75*x^2-14*x+1)/(-1+6*x)/(4*x-1)^2/(2*x-1)^3 ogf] A346370 7.90249 [-(2*x^6-2*x^5-2*x^4+4*x^3-x^2+5*x+3)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A346370 8.55424 [-(2*x^6-2*x^5-2*x^4+4*x^3-x^2+5*x+3)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A346375 12.4455 [(35*x^2-32*x+6)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A346375 14.133 [(35*x^2-32*x+6)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A346375 5.67243 [(4603041*f(x)+216043804)*(8*f(x)*x^4-22*f(x)*x^3+21*f(x)*x^2-8*f(x)*x-35*x^2+f(x)+32*x-6) ogf] A346375 5.9989 [{a(n+4)-8*a(n+3)+21*a(n+2)-22*a(n+1)+8*a(n),a(0)=6,a(1)=16,a(2)=37,a(3)=92} ogf] A346376 12.6659 [4*(5*x^4-22*x^3+34*x^2-16*x-7)/(x-1)^5 ogf] A346376 14.4753 [4*(5*x^4-22*x^3+34*x^2-16*x-7)/(x-1)^5 ogf] A346376 4.57977 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=28,a(1)=204,a(2)=604,a(3)=1348,a(4)=2580} ogf] A346394 10.588 [I*(Pi+I*ln(x-1))*exp(2*x) egf] A346394 3.59887 [{4*a(n+1)*n+a(n+3)*n-4*a(n+2)*n+8*a(n+1)-a(n+4)+7*a(n+3)-14*a(n+2),a(0)=0,a(1)=1,a(2)=5,a(3)=20} ogf] A346395 11.1333 [I*(Pi+I*ln(x-1))*exp(3*x) egf] A346395 3.76567 [{-9*a(n+1)*n-a(n+3)*n+6*a(n+2)*n-18*a(n+1)+a(n+4)-9*a(n+3)+24*a(n+2),a(0)=0,a(1)=1,a(2)=7,a(3)=38} ogf] A346396 11.3605 [I*(Pi+I*ln(x-1))*exp(4*x) egf] A346396 3.80521 [{-16*a(n+1)*n-a(n+3)*n+8*a(n+2)*n-32*a(n+1)+a(n+4)-11*a(n+3)+36*a(n+2),a(0)=0,a(1)=1,a(2)=9,a(3)=62} ogf] A346397 11.3827 [I*exp(-2*x)*(Pi+I*ln(x-1)) egf] A346397 3.90749 [{-4*a(n+1)*n-a(n+3)*n-4*a(n+2)*n-8*a(n+1)+a(n+4)+a(n+3)-6*a(n+2),a(0)=0,a(1)=1,a(2)=-3,a(3)=8} ogf] A346398 11.3827 [I*(Pi+I*ln(x-1))*exp(-3*x) egf] A346398 3.86899 [{-9*a(n+1)*n-a(n+3)*n-6*a(n+2)*n-18*a(n+1)+a(n+4)+3*a(n+3)-6*a(n+2),a(0)=0,a(1)=1,a(2)=-5,a(3)=20} ogf] A346401 2.69977 [(2*x^5+2*x^4-2*x^3-19*x^2+8*x+13)/(x+1)/(x-1)^2 ogf] A346401 3.00397 [(2*x^5+2*x^4-2*x^3-19*x^2+8*x+13)/(x+1)/(x-1)^2 ogf] A346425 15.1534 [-(x^30+x^9+x^3+2)/(x-1) ogf] A346425 17.578 [-(x^30+x^9+x^3+2)/(x-1) ogf] A346432 17.3076 [(x-1)^2/(2*x^2-4*x+1) egf] A346432 21.5033 [(x-1)^2/(2*x^2-4*x+1) egf] A346432 7.54904 [(-9+41*f(x))*(2*f(x)*x^2-4*f(x)*x-x^2+f(x)+2*x-1) egf] A346458 4.97314 [(15*x^5+14*x^4+13*x^3+12*x^2+11*x+10)/(x-1)/(16*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A346458 5.28396 [(15*x^5+14*x^4+13*x^3+12*x^2+11*x+10)/(x-1)/(16*x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A346459 9.38368 [x^3*(x^26+x^20+1) ogf] A346461 11.4183 [{a(n+3)-16*a(n),a(0)=2,a(1)=8,a(2)=16} ogf] A346461 15.9856 [-2*(8*x^2+4*x+1)/(16*x^3-1) ogf] A346461 19.0305 [-2*(8*x^2+4*x+1)/(16*x^3-1) ogf] A346461 9.86767 [-(f(x)-2)*(16*f(x)*x^3+16*x^2-f(x)+8*x+2) ogf] A346503 13.9701 [-f(x)^2*x^3-f(x)*x+f(x)+x-1 ogf] A346503 9.46362 [1/2*((2*x^2+x+1)^(1/2)*(x-1)^(1/2)*(2*x-1)^(1/2)-x+1)/x^3 ogf] A346504 12.9759 [-f(x)^2*x^3-f(x)*x+x^2+f(x)-1 ogf] A346505 10.7008 [f(x)^2*x-2*f(x)*x^2+f(x)*x-f(x)+1 ogf] A346505 9.69364 [1/2*((4*x^3+5*x-1)^(1/2)*(x-1)^(1/2)+2*x^2-x+1)/x ogf] A346506 10.1202 [-1/2*(-x^2+(x^4-2*x^3+3*x^2-6*x+1)^(1/2)+x-1)/x ogf] A346506 11.1716 [f(x)^2*x-f(x)*x^2+f(x)*x-f(x)+1 ogf] A346513 10.3545 [(x-1)*(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A346513 5.32309 [(2657*f(x)-115)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2-x^3-3*f(x)*x-x^2+f(x)+3*x-1) ogf] A346513 5.64088 [{a(n+4)-3*a(n+3)-6*a(n+2)+3*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=7,a(3)=19} ogf] A346513 9.33183 [(x-1)*(x^2+2*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A346514 12.7356 [(111*x^4-235*x^3-179*x^2+727*x-448)/(x-1)^5 ogf] A346514 14.4624 [(111*x^4-235*x^3-179*x^2+727*x-448)/(x-1)^5 ogf] A346514 4.74046 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=448,a(1)=1513,a(2)=3264,a(3)=5905,a(4)=9664} ogf] A346515 5.55939 [{a(n+3)*n-a(n+1)*n+a(n+3)-17*a(n+1),a(0)=0,a(1)=2027025,a(2)=10321920} ogf] A346515 6.58717 [315*x*(429*x^7-3861*x^6+15345*x^5-35145*x^4+50535*x^3-46143*x^2+25147*x-6435)/(x-1)^9 ogf] A346515 7.06192 [315*x*(429*x^7-3861*x^6+15345*x^5-35145*x^4+50535*x^3-46143*x^2+25147*x-6435)/(x-1)^9 ogf] A346626 14.1666 [-f(x)^3*x-f(x)*x+f(x)-1 ogf] A346627 9.91006 [f(x)^3*x^2+f(x)^3*x-f(x)*x-f(x)+1 ogf] A346628 7.95661 [f(x)^3*x^3+2*f(x)^3*x^2+f(x)^3*x-f(x)*x-f(x)+1 ogf] A346629 10.1846 [{-a(n+3)+10*a(n+2),a(0)=1,a(1)=4,a(2)=45} ogf] A346629 15.888 [-(5*x-1)*(x-1)/(10*x-1) ogf] A346629 18.9142 [-(5*x-1)*(x-1)/(10*x-1) ogf] A346629 9.68778 [-(25*f(x)-17)*(10*f(x)*x+5*x^2-f(x)-6*x+1) ogf] A346636 13.8834 [-x*(x^3+7*x^2+11*x+1)/(x-1)^5 ogf] A346636 16.1047 [-x*(x^3+7*x^2+11*x+1)/(x-1)^5 ogf] A346636 4.7647 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=16,a(3)=77,a(4)=236} ogf] A346637 12.5656 [x*(x^4+21*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A346637 14.3607 [x*(x^4+21*x^3+66*x^2+26*x+1)/(x-1)^6 ogf] A346637 3.92291 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=32,a(3)=243,a(4)=1019,a(5)=3095} ogf] A346638 10.0314 [-x*(x^5+51*x^4+302*x^3+302*x^2+57*x+1)/(x-1)^7 ogf] A346638 11.1617 [-x*(x^5+51*x^4+302*x^3+302*x^2+57*x+1)/(x-1)^7 ogf] A346642 10.3453 [-x*(8*x^5+179*x^4+584*x^3+424*x^2+64*x+1)/(x-1)^9 ogf] A346642 9.31074 [-x*(8*x^5+179*x^4+584*x^3+424*x^2+64*x+1)/(x-1)^9 ogf] A346657 3.7741 [-(x^28+x^23-x^22-x^19+x^18+x^15-x^14+x^11+11*x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-2*x^2-x-13)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A346657 3.9172 [-(x^28+x^23-x^22-x^19+x^18+x^15-x^14+x^11+11*x^9-x^8-x^7-2*x^6-x^5-x^4-x^3-2*x^2-x-13)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A346663 11.3181 [f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x) ogf] A346663 22.3601 [2*x^2/(x+1)/(x-1)^2 ogf] A346663 27.7808 [2*x^2/(x+1)/(x-1)^2 ogf] A346663 8.9879 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A346664 4.55899 [hypergeom([-1/24,5/24],[2/3],256/27*x/(x+1))*hypergeom([7/24,13/24],[4/3],256/27*x/(x+1))/(x+1) ogf] A346733 15.6972 [x^2+x+1-f(x)+f(x)^3*x^3 ogf] A346734 13.6559 [-x^3-x^2-x-1+f(x)-f(x)^3*x^4 ogf] A346762 7.78923 [-4*f(x)^3*x^3+4*f(x)^3*x^2-f(x)^3*x-2*f(x)*x+f(x)-1 ogf] A346763 8.18529 [9*f(x)^3*x^3-6*f(x)^3*x^2+f(x)^3*x+3*f(x)*x-f(x)+1 ogf] A346796 10.6264 [-2*x/(x-1)/(3*x-1)/(7*x-1) ogf] A346796 12.5155 [-2*x/(x-1)/(3*x-1)/(7*x-1) ogf] A346796 5.26353 [{-a(n+3)+11*a(n+2)-31*a(n+1)+21*a(n),a(0)=0,a(1)=2,a(2)=22} ogf] A346796 5.46794 [(11*f(x)+2)*(21*f(x)*x^3-31*f(x)*x^2+11*f(x)*x-f(x)+2*x) ogf] A346797 7.93114 [-x*(x^5+x^3+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A346798 7.99912 [-x^2*(x^4+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A346803 10.5366 [-(x^8-x^7+x^6-x^5+2*x^4-x^2+61*x-63)/(x-1)^2 ogf] A346803 9.56771 [-(x^8-x^7+x^6-x^5+2*x^4-x^2+61*x-63)/(x-1)^2 ogf] A346804 10.3962 [-(x^7-x^6+x^5-x^4+2*x^3+2*x^2+35*x-40)/(x-1)^2 ogf] A346804 9.44023 [-(x^7-x^6+x^5-x^4+2*x^3+2*x^2+35*x-40)/(x-1)^2 ogf] A346805 10.5634 [-(x^8-x^7+x^6-x^5+x^4+x^3+46*x-49)/(x-1)^2 ogf] A346805 9.59204 [-(x^8-x^7+x^6-x^5+x^4+x^3+46*x-49)/(x-1)^2 ogf] A346806 8.10919 [-(x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+56*x-57)/(x-1)^2 ogf] A346806 8.79207 [-(x^9-x^8+x^7-x^6+x^5-x^4+x^3-x^2+56*x-57)/(x-1)^2 ogf] A346807 10.5293 [-(x^8-x^7+x^6-x^5+x^4+x^3+55*x-58)/(x-1)^2 ogf] A346807 9.56112 [-(x^8-x^7+x^6-x^5+x^4+x^3+55*x-58)/(x-1)^2 ogf] A346808 10.581 [-(x^7-x^6+x^5-x^4+x^3+x^2+58*x-61)/(x-1)^2 ogf] A346808 9.60799 [-(x^7-x^6+x^5-x^4+x^3+x^2+58*x-61)/(x-1)^2 ogf] A346845 8.19679 [(3*ln(x+1)*x+3*ln(x+1)-x+1)/(x-1)^4/(x+1) egf] A346846 8.14009 [-(4*ln(x+1)*x+4*ln(x+1)-x+1)/(x-1)^5/(x+1) egf] A346847 8.83246 [(5*ln(x+1)*x+5*ln(x+1)-x+1)/(x-1)^6/(x+1) egf] A346896 23.1709 [1/(1-12*x)^(11/12) egf] A346896 6.97619 [{-12*a(n+1)*n+a(n+2)-23*a(n+1),a(0)=1,a(1)=11} ogf] A346943 4.98352 [{-a(n+1)*n^2-7*a(n+1)*n+a(n+3)-a(n+2)-12*a(n+1),a(0)=1,a(1)=1,a(2)=7} ogf] A346949 6.57034 [{4*a(n+1)*n^2+22*a(n+1)*n-a(n+2)+30*a(n+1),a(0)=4,a(1)=48} ogf] A347011 23.416 [(x-1)/(2*x-1) ogf_with_Euler_transform] A347012 15.3765 [(-1)^(1/4)*exp(x)/(4*x-1)^(1/4) egf] A347012 4.7071 [{-4*a(n+2)*n+4*a(n+1)*n+a(n+3)-10*a(n+2)+8*a(n+1),a(0)=1,a(1)=2,a(2)=8} ogf] A347013 16.2271 [(-1)^(1/5)*exp(x)/(-1+5*x)^(1/5) egf] A347013 4.93392 [{-5*a(n+2)*n+5*a(n+1)*n+a(n+3)-12*a(n+2)+10*a(n+1),a(0)=1,a(1)=2,a(2)=9} ogf] A347014 15.0299 [(-1)^(1/6)*exp(x)/(6*x-1)^(1/6) egf] A347014 4.53924 [{-6*a(n+2)*n+6*a(n+1)*n+a(n+3)-14*a(n+2)+12*a(n+1),a(0)=1,a(1)=2,a(2)=10} ogf] A347017 10.7892 [-(x^5+4*x^4-10*x^3+10*x^2-5*x+1)/(2*x-1)/(x-1)^4 ogf] A347017 11.9401 [-(x^5+4*x^4-10*x^3+10*x^2-5*x+1)/(2*x-1)/(x-1)^4 ogf] A347017 4.78881 [{-a(n+6)+6*a(n+5)-14*a(n+4)+16*a(n+3)-9*a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=4,a(4)=7,a(5)=12} ogf] A347018 4.34692 [-(x-1)*(x^13+x^12-x^11-x^9-3*x^8-2*x^5-x^4-2*x^2+1)/(x^5-x^4-x^3+x^2-2*x+1)/(x^10-x^8-x^6+x^4-2*x^2+1) ogf] A347018 4.5349 [-(x-1)*(x^13+x^12-x^11-x^9-3*x^8-2*x^5-x^4-2*x^2+1)/(x^5-x^4-x^3+x^2-2*x+1)/(x^10-x^8-x^6+x^4-2*x^2+1) ogf] A347051 5.03862 [{a(n+2)*n^2+7*a(n+2)*n-a(n+3)+12*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=13} ogf] A347107 10.5983 [-x^2*(x^5+64*x^4+424*x^3+584*x^2+179*x+8)/(x-1)^9 ogf] A347107 9.53844 [-x^2*(x^5+64*x^4+424*x^3+584*x^2+179*x+8)/(x-1)^9 ogf] A347189 3.53333 [-(f(x)-1)*(f(x)*x^2-2*f(x)*x+f(x)-1)^2 ogf] A347276 8.46206 [ln(x+1)^3+11/2*ln(x+1)^2+6*ln(x+1)+1 egf] A347319 14.5961 [-(3*x^4+36*x^3+10*x^2-2*x+1)/(x-1)^5 ogf] A347319 16.7192 [-(3*x^4+36*x^3+10*x^2-2*x+1)/(x-1)^5 ogf] A347319 5.40914 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=15,a(3)=91,a(4)=333} ogf] A347365 15.0131 [x*(3*x^2+2*x+3)/(x-1)^2/(x+1)^2 ogf] A347365 17.4643 [x*(3*x^2+2*x+3)/(x-1)^2/(x+1)^2 ogf] A347365 8.3897 [-(4*f(x)-23)*(f(x)*x^4-2*f(x)*x^2-3*x^3-2*x^2+f(x)-3*x) ogf] A347365 8.82216 [{-a(n+4)+2*a(n+2)-a(n),a(0)=0,a(1)=3,a(2)=2,a(3)=9} ogf] A347477 19.3366 [x*(4*x^3-7*x-1)/(2*x-1)/(x-1)^2 ogf] A347477 22.4936 [x*(4*x^3-7*x-1)/(2*x-1)/(x-1)^2 ogf] A347477 7.98687 [{a(n+5)-4*a(n+4)+5*a(n+3)-2*a(n+2),a(0)=0,a(1)=1,a(2)=11,a(3)=39,a(4)=99} ogf] A347477 9.03433 [(1025*f(x)-33644)*(2*f(x)*x^3-4*x^4-5*f(x)*x^2+4*f(x)*x+7*x^2-f(x)+x) ogf] A347478 11.3639 [{a(n+2)-4*a(n+1),a(0)=15,a(1)=64} ogf] A347478 16.3048 [-4*f(x)*x+f(x)-4*x-15 ogf] A347478 19.7374 [-(15+4*x)/(4*x-1) ogf] A347478 25.0007 [-(15+4*x)/(4*x-1) ogf] A347481 3.8968 [{-a(n+6)+4*a(n+5)-5*a(n+4)+3*a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=4,a(1)=10,a(2)=25,a(3)=54,a(4)=104,a(5)=205} ogf] A347481 6.6945 [-(8*x^5-9*x^4-8*x^3+5*x^2-6*x+4)/(x-1)/(2*x-1)/(x^2+1)/(x^2+x-1) ogf] A347481 7.18584 [-(8*x^5-9*x^4-8*x^3+5*x^2-6*x+4)/(x-1)/(2*x-1)/(x^2+1)/(x^2+x-1) ogf] A347493 14.7934 [(x-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A347493 17.0264 [(x-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A347493 7.84694 [{a(n+4)-a(n+3)-a(n+2)-a(n),a(0)=1,a(1)=0,a(2)=1,a(3)=1} ogf] A347493 8.76115 [(7*f(x)-5)*(f(x)*x^4+f(x)*x^2+f(x)*x-f(x)-x+1) ogf] A347501 10.4908 [{a(n+2)-5*a(n+1),a(0)=17,a(1)=81} ogf] A347501 15.052 [-5*f(x)*x+f(x)+4*x-17 ogf] A347501 20.3645 [(-17+4*x)/(5*x-1) ogf] A347501 26.6305 [(-17+4*x)/(5*x-1) ogf] A347502 10.5791 [x*(4*x^6-10*x^5+8*x^4-2*x^3-3*x+1)/(2*x-1)/(x-1)^2 ogf] A347502 9.54698 [x*(4*x^6-10*x^5+8*x^4-2*x^3-3*x+1)/(2*x-1)/(x-1)^2 ogf] A347503 5.21008 [{a(n+5)-4*a(n+4)+4*a(n+3)+a(n+1)-2*a(n),a(0)=5,a(1)=13,a(2)=29,a(3)=57,a(4)=115} ogf] A347503 7.78933 [-(8*x^4-7*x^3-3*x^2-7*x+5)/(x-1)/(2*x-1)/(x^3+x^2+x-1) ogf] A347503 8.45938 [-(8*x^4-7*x^3-3*x^2-7*x+5)/(x-1)/(2*x-1)/(x^3+x^2+x-1) ogf] A347512 14.4393 [(2*x^2-11*x+6)/(2*x-1)/(x-1) ogf] A347512 16.9505 [(2*x^2-11*x+6)/(2*x-1)/(x-1) ogf] A347512 7.87597 [-(f(x)+43)*(2*f(x)*x^2-3*f(x)*x-2*x^2+f(x)+11*x-6) ogf] A347512 8.20759 [{a(n+3)-3*a(n+2)+2*a(n+1),a(0)=6,a(1)=7,a(2)=11} ogf] A347513 11.3126 [(2*x^6-6*x^5+8*x^4-7*x^3+4*x^2-x-1)/(x-1)^3 ogf] A347513 12.7049 [(2*x^6-6*x^5+8*x^4-7*x^3+4*x^2-x-1)/(x-1)^3 ogf] A347513 5.03549 [{a(n+7)-3*a(n+6)+3*a(n+5)-a(n+4),a(0)=1,a(1)=4,a(2)=5,a(3)=11,a(4)=14,a(5)=20,a(6)=27} ogf] A347525 14.2593 [(8*x^4-21*x^3+16*x^2+x+2)/(x-1)^2 ogf] A347525 16.496 [(8*x^4-21*x^3+16*x^2+x+2)/(x-1)^2 ogf] A347525 6.73039 [-(48432*f(x)+2639203)*(-8*x^4+f(x)*x^2+21*x^3-2*f(x)*x-16*x^2+f(x)-x-2) ogf] A347525 6.95288 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=2,a(1)=5,a(2)=24,a(3)=22,a(4)=28} ogf] A347527 17.0824 [(x^15+x+1)/(x+1)/(x-1)^2 ogf] A347527 20.0532 [(x^15+x+1)/(x+1)/(x-1)^2 ogf] A347535 15.5005 [(2*x^4-5*x^3+3*x^2-2)/(x-1)^3 ogf] A347535 18.2561 [(2*x^4-5*x^3+3*x^2-2)/(x-1)^3 ogf] A347535 5.95308 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=2,a(1)=6,a(2)=9,a(3)=16,a(4)=25} ogf] A347535 6.41816 [(556*f(x)-7779)*(f(x)*x^3-2*x^4-3*f(x)*x^2+5*x^3+3*f(x)*x-3*x^2-f(x)+2) ogf] A347536 13.5071 [3*(x^4-3*x^3+3*x^2-2*x-1)/(x-1)^3 ogf] A347536 15.5459 [3*(x^4-3*x^3+3*x^2-2*x-1)/(x-1)^3 ogf] A347536 5.88523 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=3,a(1)=15,a(2)=27,a(3)=48,a(4)=75} ogf] A347536 6.19497 [(508*f(x)-20385)*(f(x)*x^3-3*x^4-3*f(x)*x^2+9*x^3+3*f(x)*x-9*x^2-f(x)+6*x+3) ogf] A347538 7.18147 [-(2*x^8+x^7+3*x^6-7*x^5-4*x^4-6*x^3+5*x^2+6*x+3)/(x-1)^3/(x^2+x+1)^3 ogf] A347538 7.72863 [-(2*x^8+x^7+3*x^6-7*x^5-4*x^4-6*x^3+5*x^2+6*x+3)/(x-1)^3/(x^2+x+1)^3 ogf] A347551 13.6255 [-(34*x^3+8*x^2-51*x-4)/(2*x^2-1)^2 ogf] A347551 15.7629 [-(34*x^3+8*x^2-51*x-4)/(2*x^2-1)^2 ogf] A347551 7.44358 [(32*f(x)+19073)*(4*f(x)*x^4-4*f(x)*x^2+34*x^3+8*x^2+f(x)-51*x-4) ogf] A347551 7.95947 [{-a(n+4)+4*a(n+2)-4*a(n),a(0)=4,a(1)=51,a(2)=8,a(3)=170} ogf] A347553 14.4184 [(2*x^4-5*x^3+4*x^2-x-1)/(x-1)^3 ogf] A347553 16.7725 [(2*x^4-5*x^3+4*x^2-x-1)/(x-1)^3 ogf] A347553 5.99891 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=4,a(2)=5,a(3)=9,a(4)=14} ogf] A347553 6.32193 [(17*f(x)-199)*(f(x)*x^3-2*x^4-3*f(x)*x^2+5*x^3+3*f(x)*x-4*x^2-f(x)+x+1) ogf] A347558 8.75454 [(x^9-2*x^7+x^6-x^5-2*x^4-x^2+6*x+2)/(x-1)^2/(x+1)^2 ogf] A347558 9.57849 [(x^9-2*x^7+x^6-x^5-2*x^4-x^2+6*x+2)/(x-1)^2/(x+1)^2 ogf] A347559 5.66087 [(3*x^12-4*x^11-2*x^10-7*x^8+8*x^7+12*x^6-8*x^5+13*x^4-4*x^3-10*x^2-24*x-9)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A347559 5.98434 [(3*x^12-4*x^11-2*x^10-7*x^8+8*x^7+12*x^6-8*x^5+13*x^4-4*x^3-10*x^2-24*x-9)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A347586 7.14509 [(x^10-x^9+x^6+x^5-x^4-x^2+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A347586 7.6295 [(x^10-x^9+x^6+x^5-x^4-x^2+1)/(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^4 ogf] A347587 5.42044 [-(x^14-x^11+x^7+x^6-x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A347587 5.69317 [-(x^14-x^11+x^7+x^6-x^4-x^2+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x+1)^2/(x-1)^5 ogf] A347588 3.87108 [(x^21-x^20+x^17+x^14-x^13-x^12-x^11+x^10+x^8+x^7-x^4-x^2+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A347588 4.00631 [(x^21-x^20+x^17+x^14-x^13-x^12-x^11+x^10+x^8+x^7-x^4-x^2+1)/(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)^2/(x+1)^3/(x-1)^6 ogf] A347595 10.7395 [-(19*x^6-50*x^5+36*x^4+2*x^3-7*x^2+3*x-1)/(2*x-1)/(x-1)^3 ogf] A347595 4.95671 [{a(n+7)-5*a(n+6)+9*a(n+5)-7*a(n+4)+2*a(n+3),a(0)=1,a(1)=2,a(2)=8,a(3)=27,a(4)=39,a(5)=54,a(6)=73} ogf] A347595 9.80567 [-(19*x^6-50*x^5+36*x^4+2*x^3-7*x^2+3*x-1)/(2*x-1)/(x-1)^3 ogf] A347596 12.6033 [-(4*x^3-2*x^2+x-1)/(4*x^2+1) ogf] A347596 14.661 [-(4*x^3-2*x^2+x-1)/(4*x^2+1) ogf] A347596 8.25735 [-(4*f(x)-5)*(4*f(x)*x^2+4*x^3-2*x^2+f(x)+x-1) ogf] A347596 8.25735 [{-a(n+4)-4*a(n+2),a(0)=1,a(1)=-1,a(2)=-2,a(3)=0} ogf] A347629 7.79461 [-(x^8+x^6-2*x^5-x^4-2*x^3+x^2+x+2)/(x-1)^3/(x^2+x+1)^3 ogf] A347629 8.43747 [-(x^8+x^6-2*x^5-x^4-2*x^3+x^2+x+2)/(x-1)^3/(x^2+x+1)^3 ogf] A347633 7.18108 [-(x^8+x^7-x^6-2*x^5-3*x^4+x^3+x^2+2*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A347633 7.72822 [-(x^8+x^7-x^6-2*x^5-3*x^4+x^3+x^2+2*x+1)/(x-1)^3/(x^2+x+1)^3 ogf] A347634 5.86643 [-2*(2*x^11-x^10-3*x^8-4*x^7-2*x^6+12*x^5+2*x^4+2*x^3+3*x^2+4*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A347634 6.22197 [-2*(2*x^11-x^10-3*x^8-4*x^7-2*x^6+12*x^5+2*x^4+2*x^3+3*x^2+4*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A347636 3.8875 [{-a(n+5)+3*a(n+4)+a(n+3)-7*a(n+2)+a(n+1)+3*a(n),a(0)=193,a(1)=399,a(2)=783,a(3)=1601,a(4)=3283} ogf] A347636 6.16397 [-(297*x^4+204*x^3-607*x^2-180*x+193)/(x-1)/(3*x^2+x-1)/(x^2+x-1) ogf] A347636 6.64272 [-(297*x^4+204*x^3-607*x^2-180*x+193)/(x-1)/(3*x^2+x-1)/(x^2+x-1) ogf] A347638 6.60732 [-(7*x^7-15*x^6+x^5+7*x^4+2*x^3+4*x^2-x-3)/(x^6-x^4-x^3-x^2+1)/(x-1)^2 ogf] A347638 7.05527 [-(7*x^7-15*x^6+x^5+7*x^4+2*x^3+4*x^2-x-3)/(x^6-x^4-x^3-x^2+1)/(x-1)^2 ogf] A347650 6.35653 [-(2*x^11+x^10-x^8-4*x^7-4*x^6+2*x^5+2*x^3+3*x^2+2*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A347650 6.76996 [-(2*x^11+x^10-x^8-4*x^7-4*x^6+2*x^5+2*x^3+3*x^2+2*x+1)/(x-1)^3/(x+1)^3/(x^2+1)^3 ogf] A347665 16.509 [1/2*exp(x)*(x+2)^2 lgdegf] A347666 12.0152 [1/6*exp(x)*(x^3+6*x^2+12*x+12) lgdegf] A347673 10.5863 [-(x^6-3*x^5+3*x^4-12*x^3+9*x^2+9*x+1)/(x-1)^5 ogf] A347673 11.7962 [-(x^6-3*x^5+3*x^4-12*x^3+9*x^2+9*x+1)/(x-1)^5 ogf] A347673 3.95087 [{-a(n+7)+5*a(n+6)-10*a(n+5)+10*a(n+4)-5*a(n+3)+a(n+2),a(0)=1,a(1)=14,a(2)=69,a(3)=203,a(4)=463,a(5)=903,a(6)=1585} ogf] A347677 15.748 [-(x^4+5*x^2+5*x+1)/(x-1)^3 ogf] A347677 18.5476 [-(x^4+5*x^2+5*x+1)/(x-1)^3 ogf] A347677 6.00463 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=8,a(2)=26,a(3)=55,a(4)=96} ogf] A347677 6.18255 [-(2591568*f(x)-3396475)*(f(x)*x^3+x^4-3*f(x)*x^2+3*f(x)*x+5*x^2-f(x)+5*x+1) ogf] A347725 14.8241 [-(x+1)^2/(x^3+x^2+2*x-1) ogf] A347725 17.4595 [-(x+1)^2/(x^3+x^2+2*x-1) ogf] A347725 6.83197 [-(f(x)-1)*(f(x)*x^3+f(x)*x^2+2*f(x)*x+x^2-f(x)+2*x+1) ogf] A347725 7.48263 [{a(n+3)-2*a(n+2)-a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=10} ogf] A347789 14.3605 [2*x*(x+1)/(x-1)/(2*x^2-1) ogf] A347789 16.7051 [2*x*(x+1)/(x-1)/(2*x^2-1) ogf] A347789 7.94708 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=2,a(2)=4} ogf] A347789 7.94708 [-f(x)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)-2*x) ogf] A347792 3.17055 [x*(x^2+x+1)*(x^2-x+1)*(x^13+x^12+x^11+x^7+2*x^6+2*x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A347792 3.2716 [x*(x^2+x+1)*(x^2-x+1)*(x^13+x^12+x^11+x^7+2*x^6+2*x+1)/(x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A347801 99.9999 Evaluated at exp(-Pi) 1/64/Pi^(3/2)/GAMMA(3/4)^2 A347802 99.9999 Evaluated at exp(-Pi) 1/512/Pi^(9/4)/GAMMA(3/4)^3 A347803 99.9999 Evaluated at exp(-Pi) 1/4096/Pi^3/GAMMA(3/4)^4 A347825 5.78375 [(7*x^7-66*x^6+31*x^5+55*x^4-34*x^3-7*x^2+7*x-1)/(3*x-1)/(7*x^2-6*x+1)/(7*x^4-6*x^2+1) ogf] A347825 6.16615 [(7*x^7-66*x^6+31*x^5+55*x^4-34*x^3-7*x^2+7*x-1)/(3*x-1)/(7*x^2-6*x+1)/(7*x^4-6*x^2+1) ogf] A347836 11.2399 [(3*x^3+16*x^2+8*x+5)/(x^2+x+1)/(x-1)^2 ogf] A347836 5.31967 [-(7488*f(x)+91127)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-16*x^2+f(x)-8*x-5) ogf] A347836 5.85611 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=5,a(1)=13,a(2)=29,a(3)=37} ogf] A347836 9.95538 [(3*x^3+16*x^2+8*x+5)/(x^2+x+1)/(x-1)^2 ogf] A347837 10.1019 [(11*x^3+64*x^2+32*x+21)/(x^2+x+1)/(x-1)^2 ogf] A347837 4.75812 [-(120064*f(x)+5848711)*(f(x)*x^4-f(x)*x^3-11*x^3-f(x)*x-64*x^2+f(x)-32*x-21) ogf] A347837 5.38214 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=21,a(1)=53,a(2)=117,a(3)=149} ogf] A347837 8.9948 [(11*x^3+64*x^2+32*x+21)/(x^2+x+1)/(x-1)^2 ogf] A347838 12.8171 [(x^3+6*x^2+3*x+2)/(x^2+x+1)/(x-1)^2 ogf] A347838 14.498 [(x^3+6*x^2+3*x+2)/(x^2+x+1)/(x-1)^2 ogf] A347838 7.01888 [-(44*f(x)+201)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-6*x^2+f(x)-3*x-2) ogf] A347838 7.49473 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=2,a(1)=5,a(2)=11,a(3)=14} ogf] A347861 4.97798 [{a(n+7)+a(n+6)-3*a(n+5)-3*a(n+4)+a(n+3)+a(n+2),a(0)=2,a(1)=3,a(2)=5,a(3)=6,a(4)=5,a(5)=24,a(6)=5} ogf] A347861 8.6023 [(4*x^6+x^5-11*x^4-4*x^3+2*x^2+5*x+2)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A347861 9.25153 [(4*x^6+x^5-11*x^4-4*x^3+2*x^2+5*x+2)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A347902 10.0525 [-(9*x^3+8*x^2-3*x+8)/(x^2+1)/(x^2+x-1) ogf] A347902 11.218 [-(9*x^3+8*x^2-3*x+8)/(x^2+1)/(x^2+x-1) ogf] A347902 5.95415 [-(5741*f(x)-18791)*(f(x)*x^4+f(x)*x^3+9*x^3+f(x)*x+8*x^2-f(x)-3*x+8) ogf] A347902 6.55966 [{a(n+4)-a(n+3)-a(n+1)-a(n),a(0)=8,a(1)=5,a(2)=13,a(3)=30} ogf] A347922 11.0909 [-x*(7*x^4+92*x^3+156*x^2+44*x+1)/(x-1)^7 ogf] A347922 12.5454 [-x*(7*x^4+92*x^3+156*x^2+44*x+1)/(x-1)^7 ogf] A347941 12.2849 [(x^11-2*x^9+x^8+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A347941 13.3769 [(x^11-2*x^9+x^8+2)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A347978 7.00687 [-(ln(x+1)*x+ln(x+1)-x+1)/(x+1)/(x-1)^2 lgdegf] A348004 4.24782 [-(4*x^58+4*x^57+x^56+12*x^6+28*x^5+28*x^4+20*x^3+12*x^2+8*x+4)/(3*x^58-x^57-x^56-12*x^8+8*x^7-4*x^6+20*x^5-12*x^4+8*x^3-8*x^2+4*x-4) ogf] A348004 4.42954 [-(4*x^58+4*x^57+x^56+12*x^6+28*x^5+28*x^4+20*x^3+12*x^2+8*x+4)/(3*x^58-x^57-x^56-12*x^8+8*x^7-4*x^6+20*x^5-12*x^4+8*x^3-8*x^2+4*x-4) ogf] A348012 4.99038 [2*f(x)^2*x^3+f(x)^2*x^2-4*f(x)*x^3+2*f(x)^2*x+2*x^3-f(x)^2-f(x)*x-x^2+f(x) ogf] A348012 5.92874 [-1/2*(-4*x^3+(-(2*x-1)*(2*x+1)*(x-1)^2)^(1/2)-x+1)/(2*x^3+x^2+2*x-1) ogf] A348063 4.01404 [-(ln(x+1)^2*x^2+2*ln(x+1)^2*x-3*ln(x+1)*x^2+ln(x+1)^2+2*ln(x+1)*x+x^2+ln(x+1)-2*x+1)/(x-1)^3/(x+1)^2 egf] A348134 13.1227 [2*x^2*(9*x^3+19*x^2-113*x-11)/(x-1)^5 ogf] A348134 15.1035 [2*x^2*(9*x^3+19*x^2-113*x-11)/(x-1)^5 ogf] A348134 4.14758 [{a(n+6)-5*a(n+5)+10*a(n+4)-10*a(n+3)+5*a(n+2)-a(n+1),a(0)=0,a(1)=0,a(2)=22,a(3)=336,a(4)=1422,a(5)=3952} ogf] A348189 6.87348 [-4*f(x)^2*x^3-6*f(x)^2*x^2-3*f(x)^2*x+6*f(x)*x^2+6*f(x)*x+2*f(x)-3*x-2 ogf] A348189 7.11679 [-I*(-(x+1)^(3/2)*(3*x-1)^(1/2)+3*I*x^2+3*I*x+I)/x/(4*x^2+6*x+3) ogf] A348204 11.1979 [(685060939819*x-759135467284)/(x^2+x-1) ogf] A348204 12.8267 [(685060939819*x-759135467284)/(x^2+x-1) ogf] A348204 4.79912 [-(1592345462033*f(x)-1203318880778815296302147)*(f(x)*x^2+f(x)*x-f(x)-685060939819*x+759135467284) ogf] A348204 7.426 [{-a(n+2)+a(n+1)+a(n),a(0)=759135467284,a(1)=74074527465} ogf] A348227 8.77342 [-(2*x^7+2*x^6-2*x^5-11*x^4-12*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2 ogf] A348227 9.53633 [-(2*x^7+2*x^6-2*x^5-11*x^4-12*x^3-10*x^2-4*x-1)/(x-1)^2/(x+1)^2 ogf] A348228 10.0391 [(2*x^7+2*x^6-2*x^5-11*x^4-12*x^3-10*x^2-4*x-1)/(x+1)^2/(x-1)^3 ogf] A348228 9.20253 [(2*x^7+2*x^6-2*x^5-11*x^4-12*x^3-10*x^2-4*x-1)/(x+1)^2/(x-1)^3 ogf] A348229 10.0908 [-(2*x^6+2*x^5-7*x^4-12*x^3-14*x^2-6*x-1)/(x-1)^2/(x+1)^2 ogf] A348229 5.6975 [{a(n+7)-2*a(n+5)+a(n+3),a(0)=1,a(1)=6,a(2)=16,a(3)=24,a(4)=38,a(5)=40,a(6)=58} ogf] A348229 9.20366 [-(2*x^6+2*x^5-7*x^4-12*x^3-14*x^2-6*x-1)/(x-1)^2/(x+1)^2 ogf] A348230 10.527 [(2*x^6+2*x^5-7*x^4-12*x^3-14*x^2-6*x-1)/(x+1)^2/(x-1)^3 ogf] A348230 4.09671 [{-a(n+7)+a(n+6)+2*a(n+5)-2*a(n+4)-a(n+3)+a(n+2),a(0)=1,a(1)=7,a(2)=23,a(3)=47,a(4)=85,a(5)=125,a(6)=183} ogf] A348230 9.55899 [(2*x^6+2*x^5-7*x^4-12*x^3-14*x^2-6*x-1)/(x+1)^2/(x-1)^3 ogf] A348231 11.7962 [(x^4+12*x^3+14*x^2+8*x+1)/(x-1)^2/(x+1)^2 ogf] A348231 13.2942 [(x^4+12*x^3+14*x^2+8*x+1)/(x-1)^2/(x+1)^2 ogf] A348231 6.92176 [{a(n+5)-2*a(n+3)+a(n+1),a(0)=1,a(1)=8,a(2)=16,a(3)=28,a(4)=32} ogf] A348231 7.1584 [(1206*f(x)-2705)*(f(x)*x^4-x^4-2*f(x)*x^2-12*x^3-14*x^2+f(x)-8*x-1) ogf] A348232 11.0884 [-(x^4+12*x^3+14*x^2+8*x+1)/(x+1)^2/(x-1)^3 ogf] A348232 12.4124 [-(x^4+12*x^3+14*x^2+8*x+1)/(x+1)^2/(x-1)^3 ogf] A348232 4.97983 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=25,a(3)=53,a(4)=85} ogf] A348236 7.28636 [(x^6+2*x^4+x^3+2*x^2+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A348236 7.78458 [(x^6+2*x^4+x^3+2*x^2+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A348237 6.31755 [(x^2-x+1)*(x^4+x^3+3*x^2+x+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A348237 6.69755 [(x^2-x+1)*(x^4+x^3+3*x^2+x+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A348238 6.8917 [-(x^6+2*x^4+x^3+2*x^2+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A348238 7.34735 [-(x^6+2*x^4+x^3+2*x^2+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A348239 6.15849 [-(x^2-x+1)*(x^4+x^3+3*x^2+x+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A348239 6.51811 [-(x^2-x+1)*(x^4+x^3+3*x^2+x+1)*(x+1)^2/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A348248 7.8952 [-x*(2*x^25+x^24-x^16-2*x^15+2*x^11+x^10-2*x^7-x^6+2*x+1)/(x-1)/(x+1) ogf] A348248 8.44443 [-x*(2*x^25+x^24-x^16-2*x^15+2*x^11+x^10-2*x^7-x^6+2*x+1)/(x-1)/(x+1) ogf] A348257 11.8097 [(4*x^4-18*x^3+33*x^2-24*x+6)/(2*x-1)^3/(x-1)^3 ogf] A348257 13.2859 [(4*x^4-18*x^3+33*x^2-24*x+6)/(2*x-1)^3/(x-1)^3 ogf] A348257 4.08798 [{-a(n+6)+9*a(n+5)-33*a(n+4)+63*a(n+3)-66*a(n+2)+36*a(n+1)-8*a(n),a(0)=6,a(1)=30,a(2)=105,a(3)=315,a(4)=868,a(5)=2268} ogf] A348264 10.7372 [x*(2*x^78-1)/(2*x^78+x^4-1) ogf] A348264 9.17541 [x*(2*x^78-1)/(2*x^78+x^4-1) ogf] A348289 10.1195 [(x-1)^3/(x^2-x+1)/(x^4+x^2-2*x+1)/(x^2+x-1) ogf] A348289 11.119 [(x-1)^3/(x^2-x+1)/(x^4+x^2-2*x+1)/(x^2+x-1) ogf] A348290 8.15232 [-(x-1)^4/(x^2+x-1)/(x^8-x^7+2*x^6-3*x^5+5*x^4-7*x^3+7*x^2-4*x+1) ogf] A348290 8.77345 [-(x-1)^4/(x^2+x-1)/(x^8-x^7+2*x^6-3*x^5+5*x^4-7*x^3+7*x^2-4*x+1) ogf] A348308 12.7992 [(x-1)^2/(x^2-x+1)/(x^4+x^3-2*x+1) ogf] A348308 14.4778 [(x-1)^2/(x^2-x+1)/(x^4+x^3-2*x+1) ogf] A348308 5.58953 [{-a(n+6)+3*a(n+5)-3*a(n+4)+a(n+3)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=1} ogf] A348309 12.9096 [-(x-1)^3/(x^8+x^4-4*x^3+6*x^2-4*x+1) ogf] A348309 14.6026 [-(x-1)^3/(x^8+x^4-4*x^3+6*x^2-4*x+1) ogf] A348310 8.54253 [(x-1)^4/(x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+5*x^2-4*x+1) ogf] A348310 9.27737 [(x-1)^4/(x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+5*x^2-4*x+1) ogf] A348312 3.59333 [{a(n+2)*n^2-3*a(n+1)*n^2-a(n+3)*n+8*a(n+2)*n-15*a(n+1)*n-2*a(n+3)+15*a(n+2)-18*a(n+1),a(0)=0,a(1)=1,a(2)=8} ogf] A348314 3.33615 [{a(n+2)*n^2-4*a(n+1)*n^2-a(n+3)*n+9*a(n+2)*n-20*a(n+1)*n-2*a(n+3)+18*a(n+2)-24*a(n+1),a(0)=0,a(1)=1,a(2)=10} ogf] A348338 5.10658 [-(x+1)*(x^16-2*x^15+2*x^14-2*x^13+2*x^12-2*x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+2*x^4-x^3+1)/(x-1)^3 ogf] A348338 5.36845 [-(x+1)*(x^16-2*x^15+2*x^14-2*x^13+2*x^12-2*x^11+2*x^10-2*x^9+2*x^8-2*x^7+2*x^6-2*x^5+2*x^4-x^3+1)/(x-1)^3 ogf] A348405 10.4865 [(x^4-x^3+2*x-1)/(2*x-1)/(x^2-x+1)/(x+1)^2 ogf] A348405 4.66777 [{-a(n+5)+a(n+4)+2*a(n+3)-a(n+2)+a(n+1)+2*a(n),a(0)=1,a(1)=-1,a(2)=1,a(3)=-1,a(4)=2} ogf] A348405 9.4508 [(x^4-x^3+2*x-1)/(2*x-1)/(x^2-x+1)/(x+1)^2 ogf] A348407 10.0072 [{-a(n+3)+3*a(n+2)-4*a(n),a(0)=4,a(1)=9,a(2)=21} ogf] A348407 15.2742 [-(6*x^2+3*x-4)/(x+1)/(2*x-1)^2 ogf] A348407 17.768 [-(6*x^2+3*x-4)/(x+1)/(2*x-1)^2 ogf] A348407 8.88398 [-(4*f(x)-43)*(4*f(x)*x^3-3*f(x)*x+6*x^2+f(x)+3*x-4) ogf] A348489 8.7484 [-5*(294*x^8-294*x^7+2*x^6-2*x^5+96*x^3-68*x^2-15*x-15)/(x-1)^2 ogf] A348517 8.30993 [-(x^26-x^25+x^11-x^10+3*x^6-3*x^5+x^3+2*x^2+11*x-15)/(x-1)^2 ogf] A348517 8.98144 [-(x^26-x^25+x^11-x^10+3*x^6-3*x^5+x^3+2*x^2+11*x-15)/(x-1)^2 ogf] A348536 4.96475 [-x^2*(3*x^5+3*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A348536 5.2825 [-x^2*(3*x^5+3*x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A348537 6.13159 [-x^2*(x^5+x^4-x^3-x^2-2*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A348537 6.56569 [-x^2*(x^5+x^4-x^3-x^2-2*x-1)/(x^2+1)/(x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A348542 6.38848 [-x^3*(x^5+x^4+x^3+2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A348542 6.77275 [-x^3*(x^5+x^4+x^3+2*x^2+x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A348543 5.99543 [-x^2*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A348543 6.33559 [-x^2*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3/(x+1)^3 ogf] A348589 4.18927 [(3818936077*f(x)+1864843400)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x+1500*x^2-f(x)-930*x+24) ogf] A348589 4.95096 [{-a(n+3)+111*a(n+2)-1110*a(n+1)+1000*a(n),a(0)=24,a(1)=1734,a(2)=167334} ogf] A348589 7.88245 [-6*(250*x^2-155*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A348589 8.80979 [-6*(250*x^2-155*x+4)/(x-1)/(100*x-1)/(10*x-1) ogf] A348591 10.0341 [-x*(2*x^5-5*x^3-x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A348591 10.9361 [-x*(2*x^5-5*x^3-x-1)/(x+1)/(x^2+x-1)/(x^2-x-1) ogf] A348591 4.99134 [{-a(n+7)-a(n+6)+3*a(n+5)+3*a(n+4)-a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=0,a(3)=3,a(4)=5,a(5)=3,a(6)=18} ogf] A348592 7.64086 [-x*(3*x^6+6*x^5+10*x^4+16*x^3+7*x^2+2*x+1)/(x+1)/(x^2+x-1)/(x^4+3*x^2+1) ogf] A348592 8.15453 [-x*(3*x^6+6*x^5+10*x^4+16*x^3+7*x^2+2*x+1)/(x+1)/(x^2+x-1)/(x^4+3*x^2+1) ogf] A348597 3.88204 [{-a(n+4)*n-a(n+1)*n+a(n+5)-5*a(n+4)+a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=20} ogf] A348618 4.41644 [{a(n+2)*n^2-108*a(n)*n^2+3*a(n+2)*n-216*a(n)*n+2*a(n+2)-96*a(n),a(0)=1,a(1)=2,a(2)=16} ogf] A348618 6.16778 [108*f(x)^3*x^2-216*f(x)^2*x^2-f(x)^3+144*f(x)*x^2+2*f(x)^2-32*x^2-f(x) ogf] A348621 12.1326 [x*(8*x^3-14*x^2+11*x-4)/(x-1)^2/(2*x-1)^3 ogf] A348621 13.7777 [x*(8*x^3-14*x^2+11*x-4)/(x-1)^2/(2*x-1)^3 ogf] A348621 4.78168 [{-a(n+5)+8*a(n+4)-25*a(n+3)+38*a(n+2)-28*a(n+1)+8*a(n),a(0)=0,a(1)=4,a(2)=21,a(3)=82,a(4)=275} ogf] A348634 9.12636 [-x^3*(1294*x^7+6346*x^6+8455*x^5+7067*x^4+4772*x^3+1808*x^2+471*x+27)/(x-1)^11 ogf] A348634 9.83521 [-x^3*(1294*x^7+6346*x^6+8455*x^5+7067*x^4+4772*x^3+1808*x^2+471*x+27)/(x-1)^11 ogf] A348643 13.5975 [(34665*x^3+165109*x^2+49051*x+7)/(x-1)^4 ogf] A348643 15.612 [(34665*x^3+165109*x^2+49051*x+7)/(x-1)^4 ogf] A348643 4.60682 [(222942782239488*f(x)+15874174923964274797)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-34665*x^3-4*f(x)*x-165109*x^2+f(x)-49051*x-7) ogf] A348643 5.65804 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=7,a(1)=49079,a(2)=361383,a(3)=1185751} ogf] A348644 12.9741 [(52003*x^3+247653*x^2+73581*x+11)/(x-1)^4 ogf] A348644 14.8612 [(52003*x^3+247653*x^2+73581*x+11)/(x-1)^4 ogf] A348644 4.44221 [(148627290334464*f(x)+15873454598778583405)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-52003*x^3-4*f(x)*x-247653*x^2+f(x)-73581*x-11) ogf] A348644 5.44912 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=11,a(1)=73625,a(2)=542087,a(3)=1778645} ogf] A348645 12.9741 [(51227*x^3+247479*x^2+74529*x+13)/(x-1)^4 ogf] A348645 14.8612 [(51227*x^3+247479*x^2+74529*x+13)/(x-1)^4 ogf] A348645 4.59195 [(205087099392*f(x)+21977900282106971)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-51227*x^3-4*f(x)*x-247479*x^2+f(x)-74529*x-13) ogf] A348645 5.44912 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=13,a(1)=74581,a(2)=545725,a(3)=1786693} ogf] A348646 13.1319 [(76849*x^3+371202*x^2+111801*x+20)/(x-1)^4 ogf] A348646 15.0078 [(76849*x^3+371202*x^2+111801*x+20)/(x-1)^4 ogf] A348646 4.80251 [(4143139328*f(x)+665965986946727)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-76849*x^3-4*f(x)*x-371202*x^2+f(x)-111801*x-20) ogf] A348646 5.56582 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=20,a(1)=111881,a(2)=818606,a(3)=2680067} ogf] A348662 3.31173 [64*f(x)^2*x^4+32*f(x)^2*x^3-64*f(x)*x^4+20*f(x)^2*x^2-48*f(x)*x^3+8*f(x)^2*x-24*f(x)*x^2+8*x^3+f(x)^2-12*f(x)*x+7*x^2-2*f(x)+4*x+1 ogf] A348662 6.09592 [-(-8*x^3-4*x^2+(x^2*(4*x^2+1)*(4*x+1)^2)^(1/2)-2*x-1)/(4*x^2+1)/(4*x+1) ogf] A348663 5.99659 [-(4*x^7-12*x^5+7*x^4-2*x^3-4*x^2+2*x+1)/(x-1)/(2*x-1)/(6*x^6-24*x^5+21*x^4-7*x^3-4*x^2+5*x-1) ogf] A348663 6.34933 [-(4*x^7-12*x^5+7*x^4-2*x^3-4*x^2+2*x+1)/(x-1)/(2*x-1)/(6*x^6-24*x^5+21*x^4-7*x^3-4*x^2+5*x-1) ogf] A348674 7.03574 [-(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x^80+2*x^20+4*x^10+2)/(2*x^90-x^80+2*x^20-2) ogf] A348674 7.38974 [-(x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x^80+2*x^20+4*x^10+2)/(2*x^90-x^80+2*x^20-2) ogf] A348742 13.046 [(180*x^25-364*x^24+180*x^23+4*x^22-x^2+2*x-9)/(x-1)^3 ogf] A348742 14.4376 [(180*x^25-364*x^24+180*x^23+4*x^22-x^2+2*x-9)/(x-1)^3 ogf] A348776 10.13 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=2,a(1)=3,a(2)=3,a(3)=4} ogf] A348776 10.2265 [-(2*f(x)+5)*(f(x)*x^2-x^3-2*f(x)*x+x^2+f(x)+x-2) ogf] A348776 21.9138 [(x^3-x^2-x+2)/(x-1)^2 ogf] A348776 26.1897 [(x^3-x^2-x+2)/(x-1)^2 ogf] A348793 10.3893 [1/2/(2*x+1)*(1+(-8*x^2-4*x+1)^(1/2))*x revogf] A348793 12.6785 [f(x)^3*x+2*f(x)*x-f(x)+1 ogf] A348845 19.7946 [(13*x+11)/(x-1)^2 ogf] A348845 25.6597 [(13*x+11)/(x-1)^2 ogf] A348845 7.69792 [(48*f(x)+697)*(f(x)*x^2-2*f(x)*x+f(x)-13*x-11) ogf] A348845 9.11595 [{-a(n+2)+2*a(n+1)-a(n),a(0)=11,a(1)=35} ogf] A348893 4.69621 [(128*(1-4*x)^(1/2)*x^3-58*(1-4*x)^(1/2)*x^2-152*x^3+13*(1-4*x)^(1/2)*x+82*x^2-(1-4*x)^(1/2)-15*x+1)/(1+(1-4*x)^(1/2))/x^3/(1-4*x)^(1/2) ogf] A348893 6.78749 [-f(x)^2*x^4+140*f(x)*x^3-70*f(x)*x^2-4096*x^3+14*f(x)*x+2268*x^2-f(x)-476*x+35 ogf] A348893 7.3627 [{a(n+2)*n-4*a(n+1)*n+6*a(n+2)-6*a(n+1),a(0)=35,a(1)=14} ogf] A348898 6.88814 [{a(n+2)*n-4*a(n+1)*n+7*a(n+2)-6*a(n+1),a(0)=126,a(1)=42} ogf] A348899 6.77405 [{a(n+2)*n-4*a(n+1)*n+8*a(n+2)-6*a(n+1),a(0)=462,a(1)=132} ogf] A348910 2.70976 [-x*(8*x^31-3*x^15+x^14+x^13-x^12-3*x^11+x^10+x^9-x^8-3*x^7+x^6+x^5-x^4+x^3+x^2+x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A348910 2.8083 [-x*(8*x^31-3*x^15+x^14+x^13-x^12-3*x^11+x^10+x^9-x^8-3*x^7+x^6+x^5-x^4+x^3+x^2+x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1)/(x-1)^2 ogf] A348912 10.6135 [1/2/(x+1)*(1+(-8*x^2-8*x+1)^(1/2))*x revogf] A348912 12.9521 [-2*f(x)^3*x-f(x)*x+f(x)-1 ogf] A348919 9.15494 [-x^3*(x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^5 ogf] A348919 9.97786 [-x^3*(x^4+x^3+x^2+x+1)/(x+1)^2/(x^2+x+1)^2/(x-1)^5 ogf] A348949 7.01729 [-(3*x+1)*(1296*x^24+216*x^18+36*x^12+6*x^6+1)*(4*x^2-2*x+1)*(4*x^2+2*x+1)/(2*x^10-1)/(4*x^20+2*x^10+1) ogf] A348949 7.39406 [-(3*x+1)*(1296*x^24+216*x^18+36*x^12+6*x^6+1)*(4*x^2-2*x+1)*(4*x^2+2*x+1)/(2*x^10-1)/(4*x^20+2*x^10+1) ogf] A348957 14.6011 [-x-f(x)+f(x)^2-f(x)^3*x ogf] A349014 7.26805 [f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2-f(x)*x+x^2+f(x)-1 ogf] A349015 7.99953 [1/2*x^2+x+1/2-1/2*((x+1)*(x^3+3*x^2-x+1))^(1/2) revogf] A349015 9.08589 [f(x)^2*x^2-f(x)^2*x+2*f(x)*x-f(x)-x+1 ogf] A349015 9.55788 [-1/2*(2*x-1+(4*x^3-4*x^2+1)^(1/2))/x/(x-1) ogf] A349047 12.3016 [f(x)^2*x^3-f(x)*x+f(x)-1 ogf] A349047 9.4259 [1/2*((x+1)^(1/2)*(4*x^2-3*x+1)^(1/2)+x-1)/x^3 ogf] A349048 11.5713 [1/2/x^4*(x-1+(4*x^4+x^2-2*x+1)^(1/2)) ogf] A349048 13.5325 [f(x)^2*x^4-f(x)*x+f(x)-1 ogf] A349081 6.86557 [2*(31*x^20-30*x^19-36*x^18+34*x^17+x^16+3*x^5-2*x^4-8*x^3+6*x^2+x-4)/(x+1)/(x-1)^3 ogf] A349081 7.31577 [2*(31*x^20-30*x^19-36*x^18+34*x^17+x^16+3*x^5-2*x^4-8*x^3+6*x^2+x-4)/(x+1)/(x-1)^3 ogf] A349087 3.62976 [{a(n+5)*n+a(n+1)*n-a(n+6)+6*a(n+5)-a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=23,a(5)=115} ogf] A349088 3.90269 [{a(n+4)*n-a(n+1)*n+5*a(n+4)-a(n+5)+a(n+2)-2*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=6,a(4)=25} ogf] A349088 4.4467 [-1/3*(3^(1/2)*exp(-1/2*x)*sin(1/2*3^(1/2)*x)-exp(-1/2*x)*cos(1/2*3^(1/2)*x)+exp(x))/(x-1) egf] A349089 3.63221 [{a(n+5)*n-a(n+1)*n-a(n+6)+6*a(n+5)+a(n+2)-2*a(n+1),a(0)=0,a(1)=1,a(2)=2,a(3)=6,a(4)=24,a(5)=121} ogf] A349118 10.9679 [(5*x^5+2*x^4-2*x^3-x^2+5*x+1)/(x-1)^4/(x+1)^4 ogf] A349118 12.2395 [(5*x^5+2*x^4-2*x^3-x^2+5*x+1)/(x-1)^4/(x+1)^4 ogf] A349185 10.0227 [-1/2*(x^2+(x^4+8*x^3-2*x^2-4*x+1)^(1/2)+2*x-1)/x^2 ogf] A349185 10.5176 [f(x)^2*x^2+f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A349186 10.4244 [-1/2*(x^2+(5*x^4+2*x^2-4*x+1)^(1/2)+2*x-1)/x^3 ogf] A349186 9.90966 [-f(x)^2*x^3-f(x)*x^2-2*f(x)*x+f(x)+x-1 ogf] A349201 8.94955 [-x*(x^6-x^5-3*x^4+2*x^3-x^2-3*x-1)/(x+1)^3/(x-1)^4 ogf] A349201 9.79186 [-x*(x^6-x^5-3*x^4+2*x^3-x^2-3*x-1)/(x+1)^3/(x-1)^4 ogf] A349253 9.72666 [2*f(x)^3*x^2-2*f(x)^3*x-f(x)*x+f(x)-1 ogf] A349254 8.68036 [3*f(x)^3*x^2-3*f(x)^3*x-f(x)*x+f(x)-1 ogf] A349255 9.51399 [2*f(x)^3*x^2+2*f(x)^3*x-f(x)*x-f(x)+1 ogf] A349256 9.14282 [3*f(x)^3*x^2+3*f(x)^3*x-f(x)*x-f(x)+1 ogf] A349294 2.48225 [-(32*x^27+64*x^26+37*x^3+38*x^2+20*x+8)/(96*x^27-64*x^26-37*x^5+36*x^4+19*x^3-6*x^2-4*x-8) ogf] A349294 2.6437 [-(32*x^27+64*x^26+37*x^3+38*x^2+20*x+8)/(96*x^27-64*x^26-37*x^5+36*x^4+19*x^3-6*x^2-4*x-8) ogf] A349315 16.9073 [(10*x^11-10*x^10+1)/(x-1)^2 ogf] A349315 20.2063 [(10*x^11-10*x^10+1)/(x-1)^2 ogf] A349318 11.5466 [f(x)^3*x+2*f(x)*x-f(x)-2*x+1 ogf] A349324 15.1283 [-15697403475*(x+1)/(x-1)^3 ogf] A349324 18.2316 [-15697403475*(x+1)/(x-1)^3 ogf] A349324 5.19001 [(236*f(x)-5038866515475)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x-f(x)+15697403475*x+15697403475) ogf] A349324 5.2669 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=15697403475,a(1)=62789613900,a(2)=141276631275} ogf] A349407 4.9401 [(x^11+x^10+7*x^9+3*x^8+3*x^7+5*x^6+17*x^5+3*x^4+11*x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A349407 5.18557 [(x^11+x^10+7*x^9+3*x^8+3*x^7+5*x^6+17*x^5+3*x^4+11*x^3+3*x^2+x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A349414 8.41562 [-x*(x^4+x^2-x+1)/(x-1)/(x+1)^2/(x^2+1)^2 ogf] A349414 9.28997 [-x*(x^4+x^2-x+1)/(x-1)/(x+1)^2/(x^2+1)^2 ogf] A349415 8.64955 [(8*x^6-48*x^5+124*x^4-180*x^3+145*x^2-60*x+10)/(2*x-1)^4/(x-1)^4 ogf] A349415 9.45416 [(8*x^6-48*x^5+124*x^4-180*x^3+145*x^2-60*x+10)/(2*x-1)^4/(x-1)^4 ogf] A349416 15.8125 [-(9*x^3-34*x^2+46*x-25)/(x-1)^4 ogf] A349416 18.4479 [-(9*x^3-34*x^2+46*x-25)/(x-1)^4 ogf] A349416 5.86424 [(332544*f(x)+4355663)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+9*x^3-4*f(x)*x-34*x^2+f(x)+46*x-25) ogf] A349416 6.325 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=25,a(1)=54,a(2)=100,a(3)=167} ogf] A349417 15.4006 [-(2*x-3)*(2*x^2-4*x+3)/(x-1)^4 ogf] A349417 17.915 [-(2*x-3)*(2*x^2-4*x+3)/(x-1)^4 ogf] A349417 6.27024 [(3*f(x)+37)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+4*x^3-4*f(x)*x-14*x^2+f(x)+18*x-9) ogf] A349417 6.40754 [{a(n+4)-4*a(n+3)+6*a(n+2)-4*a(n+1)+a(n),a(0)=9,a(1)=18,a(2)=32,a(3)=52} ogf] A349418 15.1802 [-(3*x-4)*(3*x^2-6*x+4)/(x-1)^4 ogf] A349418 17.6586 [-(3*x-4)*(3*x^2-6*x+4)/(x-1)^4 ogf] A349418 6.00884 [(32*f(x)+1387)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2+9*x^3-4*f(x)*x-30*x^2+f(x)+36*x-16) ogf] A349418 6.27009 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=16,a(1)=28,a(2)=46,a(3)=71} ogf] A349427 3.23281 [{-a(n+4)*n+7*a(n+3)*n-14*a(n+2)*n+8*a(n+1)*n-3*a(n+4)+21*a(n+3)-28*a(n+2)+4*a(n+1),a(0)=0,a(1)=1,a(2)=7,a(3)=42} ogf] A349427 8.29755 [-I*x*(2*x-1)*(x-1)/(4*x-1)^(5/2)/csgn(I*(4*x-1)) ogf] A349458 6.92481 [2*f(x)^3*x^3-f(x)^3*x^2-2*f(x)^2*x^2+2*f(x)^2*x-f(x)+1 ogf] A349466 10.9613 [1/(16*x-1)/(18*x-1)/(12*x-1)/(24*x-1) ogf] A349466 12.6158 [1/(16*x-1)/(18*x-1)/(12*x-1)/(24*x-1) ogf] A349466 4.3138 [{-a(n+4)+70*a(n+3)-1800*a(n+2)+20160*a(n+1)-82944*a(n),a(0)=1,a(1)=70,a(2)=3100,a(3)=111160} ogf] A349466 4.67579 [(17288029*f(x)+12151296)*(82944*f(x)*x^4-20160*f(x)*x^3+1800*f(x)*x^2-70*f(x)*x+f(x)-1) ogf] A349468 14.0819 [hypergeom([1/4,3/4],[1],64*x) egf] A349468 4.75739 [{-64*a(n+1)*n^2+a(n+2)*n-192*a(n+1)*n+2*a(n+2)-140*a(n+1),a(0)=1,a(1)=12} ogf] A349496 10.5766 [-2*(46*x^12-96*x^11+50*x^10+6*x^3-17*x^2+14*x+1)/(x-1)^3 ogf] A349496 11.6755 [-2*(46*x^12-96*x^11+50*x^10+6*x^3-17*x^2+14*x+1)/(x-1)^3 ogf] A349513 11.7659 [-exp(2*x)/(x-1)*BesselI(0,2*x) egf] A349513 3.18553 [{a(n+2)*n^2-4*a(n+1)*n^2+10*a(n+2)*n-18*a(n+1)*n-a(n+3)*n+19*a(n+2)-20*a(n+1)-3*a(n+3),a(0)=1,a(1)=3,a(2)=12} ogf] A349514 12.4361 [f(x)^3*x+3*f(x)*x-f(x)+1 ogf] A349515 11.6275 [f(x)^3*x+4*f(x)*x-f(x)+1 ogf] A349516 11.4783 [-3*f(x)^3*x-f(x)*x+f(x)-1 ogf] A349517 12.4764 [-4*f(x)^3*x-f(x)*x+f(x)-1 ogf] A349531 12.1438 [f(x)^3*x+3*f(x)*x-f(x)-3*x+1 ogf] A349532 11.6282 [f(x)^3*x+4*f(x)*x-f(x)-4*x+1 ogf] A349533 9.31327 [-2*f(x)^3*x^2+f(x)^3*x+2*f(x)*x-f(x)+1 ogf] A349534 8.93587 [3*f(x)^3*x^2-f(x)^3*x-3*f(x)*x+f(x)-1 ogf] A349535 8.44252 [4*f(x)^3*x^2-f(x)^3*x-4*f(x)*x+f(x)-1 ogf] A349540 4.27567 [{a(n+3)*n-2*a(n+2)*n-35*a(n+1)*n+4*a(n+3)-12*a(n+2)-70*a(n+1),a(0)=1,a(1)=4,a(2)=25} ogf] A349540 8.45527 [1/6*I*((5*x+1)^(1/2)+I*(7*x-1)^(1/2))/x/(7*x-1)^(1/2) ogf] A349540 9.64767 [21*f(x)^2*x^2-3*f(x)^2*x+7*f(x)*x-f(x)+1 ogf] A349541 4.27856 [{a(n+3)*n-2*a(n+2)*n-63*a(n+1)*n+4*a(n+3)-14*a(n+2)-126*a(n+1),a(0)=1,a(1)=5,a(2)=41} ogf] A349541 8.50905 [1/8*I*((7*x+1)^(1/2)+I*(9*x-1)^(1/2))/x/(9*x-1)^(1/2) ogf] A349541 9.70904 [-36*f(x)^2*x^2+4*f(x)^2*x-9*f(x)*x+f(x)-1 ogf] A349554 6.01904 [-(5*(4*x-1)^(1/2)*x^2+2*(4*x-1)^(1/2)*x+(4*x-1)^(1/2)-I)/(x+1)/x^2/(4*x-1)^(1/2) ogf] A349581 4.27714 [-hypergeom([-1/24,5/24],[2/3],-256/27*x/(2*x-1))*hypergeom([7/24,13/24],[4/3],-256/27*x/(2*x-1))/(2*x-1) ogf] A349594 14.5111 [(x-1)/(2*x-1)/(4*x^2-6*x+1) ogf] A349594 17.0909 [(x-1)/(2*x-1)/(4*x^2-6*x+1) ogf] A349594 6.92873 [-(609*f(x)-59)*(8*f(x)*x^3-16*f(x)*x^2+8*f(x)*x-f(x)-x+1) ogf] A349594 7.25556 [{-a(n+3)+8*a(n+2)-16*a(n+1)+8*a(n),a(0)=1,a(1)=7,a(2)=40} ogf] A349595 11.8472 [-x^3*(x^3-x^2-x+2)/(x-1) ogf] A349595 13.7814 [-x^3*(x^3-x^2-x+2)/(x-1) ogf] A349595 5.62742 [{-a(n+7)+a(n+6),a(0)=0,a(1)=0,a(2)=0,a(3)=2,a(4)=1,a(5)=0,a(6)=1} ogf] A349640 11.7525 [-1/2*I*exp(x)*(I-(4*x-1)^(1/2))/x egf] A349673 13.5421 [-(54*x^27+18*x^9+6*x^3+2*x+1)/(x-1) ogf] A349673 15.4767 [-(54*x^27+18*x^9+6*x^3+2*x+1)/(x-1) ogf] A349682 15.8216 [(10*x^3+125*x^2+80*x+1)/(x-1)^4 ogf] A349682 18.6343 [(10*x^3+125*x^2+80*x+1)/(x-1)^4 ogf] A349682 5.62781 [(6885*f(x)+520208)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-10*x^3-4*f(x)*x-125*x^2+f(x)-80*x-1) ogf] A349682 5.9896 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=1,a(1)=84,a(2)=455,a(3)=1330} ogf] A349695 5.39978 [1/2*(8*I*x^2-2*(4*x-1)^(1/2)*x^2-9*I*x+5*(4*x-1)^(1/2)*x+2*I-2*(4*x-1)^(1/2))/x^3/(4*x-1)^(1/2) ogf] A349695 6.08007 [-4*f(x)^2*x^4+f(x)^2*x^3-8*f(x)*x^3+22*f(x)*x^2-13*f(x)*x-4*x^2+2*f(x)+5*x-2 ogf] A349700 5.04848 [{a(n+6)-a(n+4)-4*a(n+3)-a(n+2)+a(n),a(0)=-6,a(1)=4,a(2)=6,a(3)=0,a(4)=18,a(5)=24} ogf] A349700 7.0413 [-2*(2*x^5-x^4-10*x^3-6*x^2-2*x+3)/(x^3+x^2+x-1)/(x^3-x^2-x-1) ogf] A349700 7.57272 [-2*(2*x^5-x^4-10*x^3-6*x^2-2*x+3)/(x^3+x^2+x-1)/(x^3-x^2-x-1) ogf] A349704 6.80012 [-x^2*(x^2+1)*(x^10-2*x^8-2*x^7+x^6+4*x^5-2*x^2-1)/(x^2+x+1)^2/(x-1)^4 ogf] A349704 7.27733 [-x^2*(x^2+1)*(x^10-2*x^8-2*x^7+x^6+4*x^5-2*x^2-1)/(x^2+x+1)^2/(x-1)^4 ogf] A349707 7.10003 [x*(x+1)*(x^5+2*x^3+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A349707 7.62113 [x*(x+1)*(x^5+2*x^3+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A349713 10.213 [f(x)^2*x^4-2*f(x)^2*x^2-4*f(x)^2*x+f(x)^2-1 ogf] A349713 20.177 [1/(x^4-2*x^2-4*x+1)^(1/2) ogf] A349713 3.39039 [{-a(n+5)*n+4*a(n+4)*n+2*a(n+3)*n-a(n+1)*n-5*a(n+5)+18*a(n+4)+8*a(n+3)-3*a(n+1),a(0)=1,a(1)=2,a(2)=7,a(3)=26,a(4)=101} ogf] A349723 11.2977 [(x^4-x^3-2*x^2+3*x+1)/(x+1)/(x-1)^4 ogf] A349723 12.7794 [(x^4-x^3-2*x^2+3*x+1)/(x+1)/(x-1)^4 ogf] A349723 4.66792 [{a(n+5)-3*a(n+4)+2*a(n+3)+2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=6,a(2)=14,a(3)=27,a(4)=45} ogf] A349766 10.91 [2*(x^2-42*x-7)/(x-1)/(x^2-34*x+1) ogf] A349766 12.3893 [2*(x^2-42*x-7)/(x-1)/(x^2-34*x+1) ogf] A349766 5.80134 [(4823280*f(x)-432167)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x-2*x^2-f(x)+84*x+14) ogf] A349766 6.46875 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=14,a(1)=574,a(2)=19598} ogf] A349767 10.803 [(3*x^4+x^3+2*x^2+11*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A349767 11.911 [(3*x^4+x^3+2*x^2+11*x+3)/(x+1)/(x^2+1)/(x-1)^2 ogf] A349767 7.03831 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=3,a(1)=14,a(2)=16,a(3)=17,a(4)=23} ogf] A349781 3.22842 [{a(n)*n^3-3*a(n+1)*n^2+3*a(n)*n^2+3*a(n+2)*n-10*a(n+1)*n+2*a(n)*n-a(n+3)+7*a(n+2)-8*a(n+1),a(0)=0,a(1)=0,a(2)=1} ogf] A349781 6.42827 [(exp(-1/(x-1))*x-exp(-1/(x-1))+exp(1))/(x-1)/exp(1) egf] A349803 6.82707 [-(5*x^6-3*x^5+3*x^4-2*x^3+3*x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A349803 7.44073 [-(5*x^6-3*x^5+3*x^4-2*x^3+3*x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A349808 22.0358 [(21*x^3-43*x^2-47*x-1)/(x-1)^3 ogf] A349808 26.0423 [(21*x^3-43*x^2-47*x-1)/(x-1)^3 ogf] A349808 8.81431 [-(37*f(x)-3027)*(f(x)*x^3-3*f(x)*x^2-21*x^3+3*f(x)*x+43*x^2-f(x)+47*x+1) ogf] A349808 8.88264 [{a(n+4)-3*a(n+3)+3*a(n+2)-a(n+1),a(0)=1,a(1)=50,a(2)=190,a(3)=400} ogf] A349817 10.3493 [(x^4-5*x^3-14*x^2+11*x+1)/(x+1)/(x^2-5*x+1) ogf] A349817 11.5154 [(x^4-5*x^3-14*x^2+11*x+1)/(x+1)/(x^2-5*x+1) ogf] A349817 5.71744 [-(38245*f(x)-1051241)*(f(x)*x^3-x^4-4*f(x)*x^2+5*x^3-4*f(x)*x+14*x^2+f(x)-11*x-1) ogf] A349817 5.71744 [{-a(n+5)+4*a(n+4)+4*a(n+3)-a(n+2),a(0)=1,a(1)=15,a(2)=50,a(3)=254,a(4)=1202} ogf] A349834 10.556 [-16*f(x)^2*x^2+8*f(x)^2*x-f(x)^2+4*x+1 ogf] A349834 17.5075 [-(4*x+1)^(1/2)/(4*x-1) ogf] A349834 4.81751 [{-a(n+3)*n+16*a(n+1)*n-3*a(n+3)+6*a(n+2)+24*a(n+1),a(0)=1,a(1)=6,a(2)=22} ogf] A349835 12.8077 [4*f(x)^2*x-f(x)^2+16*x^2+8*x+1 ogf] A349835 5.01923 [{a(n+3)*n-16*a(n+1)*n+3*a(n+3)-6*a(n+2)-8*a(n+1),a(0)=1,a(1)=6,a(2)=14} ogf] A349835 6.13922 [-4*4^(5/8)*x^(5/8)/(-4*x+1)^(3/4)*LegendreP(-1/4,5/4,-(4*x+1)/(4*x-1))*GAMMA(3/4) ogf] A349840 11.1906 [-1/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A349840 9.81333 [-1/(x^2+1)/(x^2+x-1)/(x^4+1) ogf] A349842 13.9816 [-1/(2*x-1)/(x^4+x^3+x^2+x+1) ogf] A349842 16.092 [-1/(2*x-1)/(x^4+x^3+x^2+x+1) ogf] A349842 5.20047 [{a(n+5)-a(n+4)-a(n+3)-a(n+2)-a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=4,a(4)=8} ogf] A349843 6.04079 [-1/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A349843 6.539 [-1/(x^2+x-1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1) ogf] A349844 13.6605 [(-1)^(3/4)*(16*x-1)^(1/2)/(8*x-1)^(1/4) ogf] A349844 3.83723 [{-a(n+3)*n+24*a(n+2)*n-128*a(n+1)*n-3*a(n+3)+42*a(n+2)-96*a(n+1),a(0)=-1,a(1)=6,a(2)=38} ogf] A349845 14.1049 [I*(16*x-1)^(1/2)/(8*x+1)^(1/4) ogf] A349845 3.84679 [{a(n+3)*n-8*a(n+2)*n-128*a(n+1)*n+3*a(n+3)-6*a(n+2)-96*a(n+1),a(0)=-1,a(1)=10,a(2)=6} ogf] A349846 13.2392 [-4*f(x)^2*x+f(x)^2-64*x^2+16*x-1 ogf] A349846 21.1112 [(8*x-1)/(-4*x+1)^(1/2) ogf] A349846 4.41307 [{-a(n+3)*n+12*a(n+2)*n-32*a(n+1)*n-3*a(n+3)+18*a(n+2)-16*a(n+1),a(0)=-1,a(1)=6,a(2)=10} ogf] A349847 12.8115 [-4*f(x)^2*x+f(x)^2-64*x^2-16*x-1 ogf] A349847 20.4291 [(8*x+1)/(-4*x+1)^(1/2) ogf] A349847 4.29476 [{a(n+3)*n+4*a(n+2)*n-32*a(n+1)*n+3*a(n+3)-2*a(n+2)-16*a(n+1),a(0)=1,a(1)=10,a(2)=22} ogf] A349849 8.52804 [-x^2*(144*x^6+534*x^5+435*x^4+350*x^3+180*x^2+36*x+1)/(x-1)^9 ogf] A349849 9.34024 [-x^2*(144*x^6+534*x^5+435*x^4+350*x^3+180*x^2+36*x+1)/(x-1)^9 ogf] A349895 6.8498 [x*(x^9-x^8-2*x^6-2*x^5-2*x^2-x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A349895 7.33474 [x*(x^9-x^8-2*x^6-2*x^5-2*x^2-x-1)/(x^2+1)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A349919 21.0532 [-x^2*(5*x^2+2*x+5)/(x-1)^5 ogf] A349919 25.1611 [-x^2*(5*x^2+2*x+5)/(x-1)^5 ogf] A349919 6.21449 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=5,a(3)=27,a(4)=90} ogf] A349927 10.7001 [-x^2*(21*x^4+51*x^3+17*x^2+29*x+2)/(x-1)^7 ogf] A349927 12.1034 [-x^2*(21*x^4+51*x^3+17*x^2+29*x+2)/(x-1)^7 ogf] A349948 11.9784 [2*x*(x-5)/(x-1)/(x^2-4*x+1) ogf] A349948 13.7865 [2*x*(x-5)/(x-1)/(x^2-4*x+1) ogf] A349948 6.64259 [(12*f(x)+25)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x-2*x^2-f(x)+10*x) ogf] A349948 6.9589 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=10,a(2)=48} ogf] A349975 10.9173 [x^4*(x^2+2*x+3)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A349975 12.1831 [x^4*(x^2+2*x+3)/(x+1)/(x^2+x+1)/(x-1)^4 ogf] A350034 4.93051 [x*(4*x^10+x^9+x^8+2*x^7+24*x^6+x^5+26*x^4+2*x^3+x^2+x+6)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A350034 5.18335 [x*(4*x^10+x^9+x^8+2*x^7+24*x^6+x^5+26*x^4+2*x^3+x^2+x+6)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A350042 10.0377 [x^3*(3*x^4+4*x^3+4*x^2+4*x+3)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A350042 9.17426 [x^3*(3*x^4+4*x^3+4*x^2+4*x+3)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A350043 6.74072 [-x*(x^9-x^8-3*x^7+5*x^5+6*x^4-6*x^3-11*x^2-7*x-2)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A350043 7.18273 [-x*(x^9-x^8-3*x^7+5*x^5+6*x^4-6*x^3-11*x^2-7*x-2)/(x+1)^2/(x^2+x+1)^2/(x-1)^4 ogf] A350050 13.8082 [-(6*x^3+2*x^2+10*x+2)/(x^4-1) lgdogf] A350050 14.7772 [-2*x^3*(x^2+1)/(x+1)^3/(x-1)^5 ogf] A350050 17.1898 [-2*x^3*(x^2+1)/(x+1)^3/(x-1)^5 ogf] A350050 4.12893 [{-a(n+5)*n+a(n+1)*n-2*a(n+5)+2*a(n+4)+10*a(n+3)+2*a(n+2)+4*a(n+1),a(0)=0,a(1)=0,a(2)=0,a(3)=2,a(4)=4} ogf] A350051 13.6592 [-(5*x+43)/(5*x^2+14*x-19) lgdogf] A350051 20.4888 [(5*x+19)/(x-1)^2 ogf] A350051 26.793 [(5*x+19)/(x-1)^2 ogf] A350051 7.82718 [(48*f(x)+937)*(f(x)*x^2-2*f(x)*x+f(x)-5*x-19) ogf] A350051 9.16604 [{-a(n+2)+2*a(n+1)-a(n),a(0)=19,a(1)=43} ogf] A350052 13.6592 [-(7*x+41)/(7*x^2+10*x-17) lgdogf] A350052 20.4888 [(7*x+17)/(x-1)^2 ogf] A350052 26.793 [(7*x+17)/(x-1)^2 ogf] A350052 7.82718 [(48*f(x)+865)*(f(x)*x^2-2*f(x)*x+f(x)-7*x-17) ogf] A350052 9.16604 [{-a(n+2)+2*a(n+1)-a(n),a(0)=17,a(1)=41} ogf] A350053 4.72045 [-(89201777*f(x)-163145617)*(64*f(x)*x^4-65*f(x)*x^2+64*x^3-32*x^2+f(x)-113*x-3) ogf] A350053 5.55866 [{-a(n+4)+65*a(n+2)-64*a(n),a(0)=3,a(1)=113,a(2)=227,a(3)=7281} ogf] A350053 6.39545 [-(64*x^3-32*x^2-113*x-3)/(x-1)/(8*x-1)/(8*x+1)/(x+1) ogf] A350053 6.99737 [-(64*x^3-32*x^2-113*x-3)/(x-1)/(8*x-1)/(8*x+1)/(x+1) ogf] A350054 10.8052 [-(64*x-113)/(64*x-1)/(x-1) ogf] A350054 12.7261 [-(64*x-113)/(64*x-1)/(x-1) ogf] A350054 5.67005 [(458801*f(x)+1168448)*(64*f(x)*x^2-65*f(x)*x+f(x)+64*x-113) ogf] A350054 6.65902 [-(4096*x^2-14464*x+7281)/(4096*x^3-11392*x^2+7409*x-113) lgdogf] A350054 7.07007 [{-a(n+2)+65*a(n+1)-64*a(n),a(0)=113,a(1)=7281} ogf] A350055 10.8146 [(72*f(x)+2521)*(f(x)*x^2-2*f(x)*x+f(x)-x-35) ogf] A350055 12.8067 [{-a(n+2)+2*a(n+1)-a(n),a(0)=35,a(1)=71} ogf] A350055 19.0845 [-(x+71)/(x^2+34*x-35) lgdogf] A350055 28.6268 [(x+35)/(x-1)^2 ogf] A350055 37.4351 [(x+35)/(x-1)^2 ogf] A350114 5.66867 [-f(x)^2*x^3-2*f(x)^2*x^2+f(x)*x^3-f(x)^2*x+2*f(x)*x^2+2*f(x)*x-x^2+f(x)-x-1 ogf] A350116 12.3078 [-(15*x^2-50*x+45)/(5*x^3-20*x^2+27*x-12) lgdogf] A350116 16.8931 [-x*(5*x^2-15*x+12)/(x-1)^5 ogf] A350116 20.036 [-x*(5*x^2-15*x+12)/(x-1)^5 ogf] A350116 5.0383 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=12,a(2)=45,a(3)=110,a(4)=220} ogf] A350129 7.51753 [-x*(2*x^3+1)*(x^4-x^3+2*x^2+x+1)/(2*x^3-1)/(x-1)^2/(x^2+x+1)^2 ogf] A350129 8.06928 [-x*(2*x^3+1)*(x^4-x^3+2*x^2+x+1)/(2*x^3-1)/(x-1)^2/(x^2+x+1)^2 ogf] A350177 5.23591 [x^3*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^4+x^3+2*x^2+3*x+2)/(x^7+x^6+2*x^5+3*x^4+2*x^3-1) ogf] A350177 5.50968 [x^3*(x-1)*(x+1)*(x^2+x+1)*(x^2-x+1)*(x^4+x^3+2*x^2+3*x+2)/(x^7+x^6+2*x^5+3*x^4+2*x^3-1) ogf] A350236 8.73609 [-(2*x^6+12*x^5+45*x^4+42*x^3+36*x^2+6*x+1)/(x+1)^3/(x-1)^5 ogf] A350236 9.55831 [-(2*x^6+12*x^5+45*x^4+42*x^3+36*x^2+6*x+1)/(x+1)^3/(x-1)^5 ogf] A350286 15.2818 [x*(14*x^3-63*x^2+99*x-55)/(x-1)^7 ogf] A350286 17.7767 [x*(14*x^3-63*x^2+99*x-55)/(x-1)^7 ogf] A350286 9.26661 [-(56*x^3-273*x^2+468*x-286)/(14*x^4-77*x^3+162*x^2-154*x+55) lgdogf] A350290 3.83548 [5*f(x)^3*x^3+36*f(x)^3*x^2-5*f(x)^2*x^3+4*f(x)^3*x-36*f(x)^2*x^2+4*f(x)^3-4*f(x)^2*x+5*f(x)*x^2-4*f(x)^2-5*f(x)*x+x ogf] A350295 16.257 [(2*x-3)*(x^3-2*x+2)/(x-1)^3 ogf] A350295 19.1471 [(2*x-3)*(x^3-2*x+2)/(x-1)^3 ogf] A350295 6.19871 [{a(n+5)-3*a(n+4)+3*a(n+3)-a(n+2),a(0)=6,a(1)=8,a(2)=10,a(3)=15,a(4)=21} ogf] A350295 6.2892 [-(263*f(x)-3059)*(f(x)*x^3-2*x^4-3*f(x)*x^2+3*x^3+3*f(x)*x+4*x^2-f(x)-10*x+6) ogf] A350295 8.61620 [-(-2*x^4+8*x^3-13*x^2+12*x-8)/(2*x^5-5*x^4-x^3+14*x^2-16*x+6) lgdogf] A350303 12.5913 [-7*x*(6*x^4-36*x^3+84*x^2-91*x+39)/(x-1)^9 ogf] A350303 14.2426 [-7*x*(6*x^4-36*x^3+84*x^2-91*x+39)/(x-1)^9 ogf] A350303 7.68849 [-(30*x^4-192*x^3+480*x^2-560*x+260)/(6*x^5-42*x^4+120*x^3-175*x^2+130*x-39) lgdogf] A350327 4.10085 [(x^10-x^9+x^7-x^6-x^5+x^4+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A350327 4.39909 [(x^10-x^9+x^7-x^6-x^5+x^4+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A350362 10.7376 [(x^5-x^4+x^2-6)/(x-1) ogf] A350362 4.31421 [-(-4*x^5+8*x^4-4*x^3-x^2+2*x-6)/(x^6-2*x^5+x^4+x^3-x^2-6*x+6) lgdogf] A350362 4.31422 [{-a(n+6)+a(n+5),a(0)=6,a(1)=6,a(2)=5,a(3)=5,a(4)=6,a(5)=5} ogf] A350362 9.11684 [(x^5-x^4+x^2-6)/(x-1) ogf] A350382 10.5036 [-(1300*x^2-980*x+409)/(1300*x^3-1920*x^2+669*x-49) lgdogf] A350382 10.6366 [{a(n+2)-11*a(n+1)+10*a(n),a(0)=49,a(1)=409} ogf] A350382 15.8545 [-(130*x-49)/(10*x-1)/(x-1) ogf] A350382 18.6731 [-(130*x-49)/(10*x-1)/(x-1) ogf] A350382 8.40288 [-(3519*f(x)-5150)*(10*f(x)*x^2-11*f(x)*x+f(x)+130*x-49) ogf] A350383 4.831 [27*f(x)^3*x^2+14*f(x)^3*x-27*f(x)^2*x^2+3*f(x)^3-14*f(x)^2*x+9*f(x)*x^2-3*f(x)^2+3*f(x)*x-x^2 ogf] A350384 12.4245 [{-a(n+1)-1728*a(n),a(0)=1} ogf] A350384 13.2717 [1728*f(x)*x+f(x)-1 ogf] A350384 17.1751 [-1728/(1728*x+1) lgdogf] A350384 24.3314 [1/(1728*x+1) ogf] A350384 36.4971 [1/(1728*x+1) ogf] A350393 6.65861 [-x^3*(x^11-3*x^10+6*x^9-9*x^8+10*x^7-9*x^6+4*x^5+2*x^4-6*x^3+8*x^2-6*x+3)/(x^2+1)/(x-1)^3 ogf] A350393 7.06216 [-x^3*(x^11-3*x^10+6*x^9-9*x^8+10*x^7-9*x^6+4*x^5+2*x^4-6*x^3+8*x^2-6*x+3)/(x^2+1)/(x-1)^3 ogf] A350394 6.32519 [x*(x^13-3*x^12+6*x^11-9*x^10+10*x^9-9*x^8+4*x^7+2*x^6-6*x^5+8*x^4-6*x^3+2*x^2-1)/(x^2+1)/(x-1)^3 ogf] A350394 6.68153 [x*(x^13-3*x^12+6*x^11-9*x^10+10*x^9-9*x^8+4*x^7+2*x^6-6*x^5+8*x^4-6*x^3+2*x^2-1)/(x^2+1)/(x-1)^3 ogf] A350395 11.3199 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=0,a(1)=3,a(2)=8,a(3)=11,a(4)=12} ogf] A350395 12.8168 [(352*f(x)+11387)*(f(x)*x^3+4*x^4-f(x)*x^2-f(x)*x-5*x^2+f(x)-3*x) ogf] A350395 19.1460 [-(4*x^3+2*x^2-14*x-8)/(4*x^5-9*x^3-3*x^2+5*x+3) lgdogf] A350395 25.4234 [-x*(4*x^3-5*x-3)/(x+1)/(x-1)^2 ogf] A350395 29.2609 [-x*(4*x^3-5*x-3)/(x+1)/(x-1)^2 ogf] A350396 18.3221 [(x^8+x^6-x^4+x^2+x+1)/(x+1)/(x-1)^2 ogf] A350396 20.4463 [(x^8+x^6-x^4+x^2+x+1)/(x+1)/(x-1)^2 ogf] A350414 4.8848 [-(11*x^25+11*x^20+11*x^15+11*x^13+11*x^10+11*x^9+11*x^8+6*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A350414 5.10558 [-(11*x^25+11*x^20+11*x^15+11*x^13+11*x^10+11*x^9+11*x^8+6*x^5+8*x^4+4*x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1) ogf] A350437 5.49762 [x^2*(x^11+3*x^10+3*x^9+x^8+x^7-3*x^5-6*x^4-4*x^3-2*x^2-2*x-1)/(x^7+3*x^6+3*x^5+x^4+x^3+x^2-1) ogf] A350437 5.79681 [x^2*(x^11+3*x^10+3*x^9+x^8+x^7-3*x^5-6*x^4-4*x^3-2*x^2-2*x-1)/(x^7+3*x^6+3*x^5+x^4+x^3+x^2-1) ogf] A350438 6.19819 [x^2*(x^11+3*x^10+3*x^9+2*x^8-3*x^5-6*x^4-5*x^3-2*x^2-x-1)/(x^7+3*x^6+3*x^5+2*x^4+x^2-1) ogf] A350438 6.57671 [x^2*(x^11+3*x^10+3*x^9+2*x^8-3*x^5-6*x^4-5*x^3-2*x^2-x-1)/(x^7+3*x^6+3*x^5+2*x^4+x^2-1) ogf] A350439 5.31807 [x^2*(x^11+x^10+5*x^9+x^8+x^7-x^5-6*x^4-6*x^3-2*x^2-2*x-1)/(x^7+x^6+5*x^5+x^4+x^3+x^2-1) ogf] A350439 5.60749 [x^2*(x^11+x^10+5*x^9+x^8+x^7-x^5-6*x^4-6*x^3-2*x^2-2*x-1)/(x^7+x^6+5*x^5+x^4+x^3+x^2-1) ogf] A350440 5.54522 [x^2*(x^11+2*x^10+4*x^9+x^8+x^7-2*x^5-6*x^4-5*x^3-2*x^2-2*x-1)/(x^7+2*x^6+4*x^5+x^4+x^3+x^2-1) ogf] A350440 5.847 [x^2*(x^11+2*x^10+4*x^9+x^8+x^7-2*x^5-6*x^4-5*x^3-2*x^2-2*x-1)/(x^7+2*x^6+4*x^5+x^4+x^3+x^2-1) ogf] A350453 6.45602 [(100*x^9-207*x^8-190*x^7+622*x^6-62*x^5-656*x^4+166*x^3+178*x^2-142*x-1)/(x+1)^3/(x-1)^5 ogf] A350453 6.89372 [(100*x^9-207*x^8-190*x^7+622*x^6-62*x^5-656*x^4+166*x^3+178*x^2-142*x-1)/(x+1)^3/(x-1)^5 ogf] A350461 3.37929 [{16*a(n)*n^3-8*a(n+1)*n^2+32*a(n)*n^2+a(n+2)*n-24*a(n+1)*n+12*a(n)*n+2*a(n+2)-18*a(n+1),a(0)=1,a(1)=2} ogf] A350468 10.5128 [{-a(n+2)+a(n+1)+14*a(n),a(0)=1,a(1)=1} ogf] A350468 15.7692 [-(28*x+1)/(14*x^2+x-1) lgdogf] A350468 23.19 [-1/(14*x^2+x-1) ogf] A350468 30.3254 [-1/(14*x^2+x-1) ogf] A350468 9.16813 [(239*f(x)-238)*(14*f(x)*x^2+f(x)*x-f(x)+1) ogf] A350469 10.2146 [{-a(n+2)+a(n+1)+18*a(n),a(0)=1,a(1)=1} ogf] A350469 15.3219 [-(36*x+1)/(18*x^2+x-1) lgdogf] A350469 22.5321 [-1/(18*x^2+x-1) ogf] A350469 29.4651 [-1/(18*x^2+x-1) ogf] A350469 8.90805 [(379*f(x)-378)*(18*f(x)*x^2+f(x)*x-f(x)+1) ogf] A350471 10.4177 [(365*x^4+365*x^3+365*x^2+365*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A350471 6.41667 [{-a(n+5)+a(n+4)+a(n+1)-a(n),a(0)=1,a(1)=366,a(2)=731,a(3)=1096,a(4)=1462} ogf] A350471 9.52151 [(365*x^4+365*x^3+365*x^2+365*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A350473 11.0492 [-x*(x^2-4*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A350473 5.40705 [-(485*f(x)+271)*(f(x)*x^4+3*f(x)*x^3-6*f(x)*x^2+x^3-3*f(x)*x-4*x^2+f(x)-x) ogf] A350473 5.68951 [{a(n+4)-3*a(n+3)-6*a(n+2)+3*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=7,a(3)=26} ogf] A350473 6.46097 [-(2*x^5-9*x^4-28*x^3+18*x^2+10*x+7)/(x^6-x^5-19*x^4+18*x^3+19*x^2-x-1) lgdogf] A350473 9.90123 [-x*(x^2-4*x-1)/(x^2+4*x-1)/(x^2-x-1) ogf] A350498 11.2405 [-(6*x^3-18*x^2+22*x-7)/(x^4-4*x^3+7*x^2-5*x+1) lgdogf] A350498 17.391 [x/(x^3-3*x^2+4*x-1)/(x-1)^3 ogf] A350498 20.4828 [x/(x^3-3*x^2+4*x-1)/(x-1)^3 ogf] A350498 4.58569 [{a(n+6)-7*a(n+5)+18*a(n+4)-23*a(n+3)+16*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=7,a(3)=31,a(4)=114,a(5)=385} ogf] A350513 3.71405 [{-a(n+6)+36*a(n+5)-216*a(n+4)-972*a(n+3)+6561*a(n+2),a(0)=3,a(1)=21,a(2)=648,a(3)=15552,a(4)=404595,a(5)=10812528} ogf] A350513 6.45777 [-3*(32805*x^5-4860*x^4-108*x^3+180*x^2-29*x+1)/(27*x-1)/(9*x-1)/(27*x^2-1) ogf] A350513 6.95934 [-3*(32805*x^5-4860*x^4-108*x^3+180*x^2-29*x+1)/(27*x-1)/(9*x-1)/(27*x^2-1) ogf] A350515 5.35921 [x^2*(x^9+x^8+4*x^7+2*x^6+2*x^5+3*x^4+8*x^3+x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A350515 5.65489 [x^2*(x^9+x^8+4*x^7+2*x^6+2*x^5+3*x^4+8*x^3+x^2+5*x+1)/(x-1)^2/(x+1)^2/(x^2+x+1)^2/(x^2-x+1)^2 ogf] A350520 4.1784 [{a(n+5)-2*a(n+4)-2*a(n+3)+4*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=8,a(4)=14} ogf] A350520 4.2403 [-(155*f(x)+391)*(4*f(x)*x^3+4*x^4-2*f(x)*x^2-4*x^3-2*f(x)*x+x^2+f(x)+x-1) ogf] A350520 7.43429 [-(4*x^4-4*x^3+x^2+x-1)/(2*x-1)/(2*x^2-1) ogf] A350520 8.29624 [-(4*x^4-4*x^3+x^2+x-1)/(2*x-1)/(2*x^2-1) ogf] A350521 11.2755 [{-a(n+2)+2*a(n+1)-a(n),a(0)=4,a(1)=22} ogf] A350521 17.2584 [-(7*x+11)/(7*x^2-5*x-2) lgdogf] A350521 22.8558 [2*(7*x+2)/(x-1)^2 ogf] A350521 29.1608 [2*(7*x+2)/(x-1)^2 ogf] A350521 9.72028 [(9*f(x)+85)*(f(x)*x^2-2*f(x)*x+f(x)-14*x-4) ogf] A350522 11.2321 [{-a(n+2)+2*a(n+1)-a(n),a(0)=16,a(1)=34} ogf] A350522 17.4213 [-(x+17)/(x^2+7*x-8) lgdogf] A350522 23.0714 [2*(x+8)/(x-1)^2 ogf] A350522 29.436 [2*(x+8)/(x-1)^2 ogf] A350522 9.70048 [(9*f(x)+145)*(f(x)*x^2-2*f(x)*x+f(x)-2*x-16) ogf] A350551 13.1335 [x^2/(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A350551 15.2777 [x^2/(2*x-1)/(x+1)/(x^2+2*x-1) ogf] A350551 5.67128 [{a(n+4)-3*a(n+3)-a(n+2)+5*a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3} ogf] A350551 5.84851 [-(133*f(x)+20)*(2*f(x)*x^4+5*f(x)*x^3-f(x)*x^2-3*f(x)*x-x^2+f(x)) ogf] A350551 9.24210 [-(8*x^3+15*x^2-2*x-3)/(2*x^4+5*x^3-x^2-3*x+1) lgdogf] A350602 11.5588 [-(12*x^3+18*x^2+8*x+6)/(3*x^4+5*x^3+2*x^2-3*x-2) lgdogf] A350602 21.0627 [(3*x+2)^2/(x^3+x^2-1)^2 ogf] A350602 25.6168 [(3*x+2)^2/(x^3+x^2-1)^2 ogf] A350602 5.23659 [{-a(n+6)+2*a(n+4)+2*a(n+3)-a(n+2)-2*a(n+1)-a(n),a(0)=4,a(1)=12,a(2)=17,a(3)=32,a(4)=54,a(5)=78} ogf] A350642 16.2644 [-(3*x+4)/(x-1)/(x+1) ogf_with_Euler_transform] A350642 99.9999 Evaluated at exp(-Pi) 2*exp(-1/12*Pi)/Pi^(3/4)*GAMMA(3/4)^3 A350643 16.2425 [-(5*x+7)/(x-1)/(x+1) ogf_with_Euler_transform] A350643 99.9999 Evaluated at exp(-Pi) 2*exp(-1/8*Pi)/Pi^(5/4)*2^(5/8)*GAMMA(3/4)^5 A350644 14.9631 [-(7*x+10)/(x-1)/(x+1) ogf_with_Euler_transform] A350644 99.9999 Evaluated at exp(-Pi) 4*exp(-1/6*Pi)/Pi^(7/4)*2^(1/4)*GAMMA(3/4)^7 A350645 10.9442 [2*(-8*x+2+(-4*x+1)^(1/2))/(64*x^2-28*x+3) lgdogf] A350666 11.2556 [x*(2*x^2+2*x+5)/(x^2+x+1)/(x-1)^2 ogf] A350666 5.39136 [-(2*f(x)-9)*(f(x)*x^4-f(x)*x^3-2*x^3-f(x)*x-2*x^2+f(x)-5*x) ogf] A350666 5.57888 [{a(n+4)-a(n+3)-a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=7,a(3)=9} ogf] A350666 6.54664 [-(4*x^4+8*x^3+24*x^2+11*x+7)/(2*x^5+2*x^4+5*x^3-2*x^2-2*x-5) lgdogf] A350666 9.87033 [x*(2*x^2+2*x+5)/(x^2+x+1)/(x-1)^2 ogf] A350667 10.71 [(x^3+5*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A350667 5.39924 [(11*f(x)+52)*(f(x)*x^4-f(x)*x^3-x^3-f(x)*x-5*x^2+f(x)-2*x-1) ogf] A350667 5.58383 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=1,a(1)=3,a(2)=8,a(3)=10} ogf] A350667 6.04914 [-(x^5+11*x^4+12*x^3+14*x^2+13*x+3)/(x^6+5*x^5+2*x^4-5*x^2-2*x-1) lgdogf] A350667 9.46823 [(x^3+5*x^2+2*x+1)/(x^2+x+1)/(x-1)^2 ogf] A350668 10.71 [(3*x^3+2*x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A350668 5.18498 [-(17*f(x)+219)*(f(x)*x^4-f(x)*x^3-3*x^3-f(x)*x-2*x^2+f(x)-2*x-2) ogf] A350668 5.58383 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=2,a(1)=4,a(2)=6,a(3)=11} ogf] A350668 5.73076 [-(3*x^5+7*x^4+11*x^3+21*x^2+8*x+4)/(3*x^6+2*x^5+2*x^4-x^3-2*x^2-2*x-2) lgdogf] A350668 9.46823 [(3*x^3+2*x^2+2*x+2)/(x^2+x+1)/(x-1)^2 ogf] A350689 11.3154 [x^3*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^4/(x-1)^6 ogf] A350689 12.7081 [x^3*(x^4+2*x^3+4*x^2+2*x+1)/(x+1)^4/(x-1)^6 ogf] A350689 7.64838 [-(6*x^5+16*x^4+40*x^3+32*x^2+22*x+4)/(x^6+2*x^5+3*x^4-3*x^2-2*x-1) lgdogf] A350716 10.1754 [(x^9+x^7-4*x^5+4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A350716 4.20514 [{a(n+7)-a(n+6)-a(n+2)+a(n+1),a(0)=4,a(1)=4,a(2)=4,a(3)=4,a(4)=4,a(5)=4,a(6)=4,a(7)=5,a(8)=5,a(9)=6} ogf] A350716 9.26076 [(x^9+x^7-4*x^5+4)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A350717 10.1156 [-(8*x^3-24*x^2+12*x-2)/(8*x^4-26*x^3+26*x^2-9*x+1) lgdogf] A350717 14.9072 [-(2*x^2-4*x+1)/(4*x-1)/(x-1)^2 ogf] A350717 17.3411 [-(2*x^2-4*x+1)/(4*x-1)/(x-1)^2 ogf] A350717 7.51958 [(11*f(x)+10)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x+2*x^2-f(x)-4*x+1) ogf] A350717 8.17031 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=1,a(1)=2,a(2)=5} ogf] A350759 20.9136 [-ln(x+1) lgdegf] A350787 11.3369 [-(5*x^3-12*x^2+6*x+3)/(x^4-3*x^3+3*x-1) lgdogf] A350787 13.5671 [-x^2*(x-1)/(x+1)^2/(x^2-3*x+1)^2 ogf] A350787 15.6149 [-x^2*(x-1)/(x+1)^2/(x^2-3*x+1)^2 ogf] A350787 5.20497 [{a(n+6)-4*a(n+5)+10*a(n+3)-4*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=3,a(4)=12,a(5)=38} ogf] A350816 8.84128 [-2*(x-1)*(4*x^7+8*x^6+4*x^5-6*x^3-4*x^2-3*x-1)/(2*x^3-1)^3 ogf] A350816 9.6734 [-2*(x-1)*(4*x^7+8*x^6+4*x^5-6*x^3-4*x^2-3*x-1)/(2*x^3-1)^3 ogf] A350817 5.701 [(64*x^12-64*x^11-64*x^10-16*x^8+32*x^7+52*x^6-17*x^5+4*x^4-4*x^3-9*x^2-6*x-1)/(2*x^2-1)^3/(2*x^2+1)^3 ogf] A350817 6.03883 [(64*x^12-64*x^11-64*x^10-16*x^8+32*x^7+52*x^6-17*x^5+4*x^4-4*x^3-9*x^2-6*x-1)/(2*x^2-1)^3/(2*x^2+1)^3 ogf] A350822 5.59908 [(324*x^15+740*x^12+376*x^11+213*x^9-116*x^8+56*x^7+58*x^6-39*x^5-32*x^4+2*x^3-29*x^2-12*x-4)/(x^7+2*x^4+x^3-1) ogf] A350822 5.89377 [(324*x^15+740*x^12+376*x^11+213*x^9-116*x^8+56*x^7+58*x^6-39*x^5-32*x^4+2*x^3-29*x^2-12*x-4)/(x^7+2*x^4+x^3-1) ogf] A350830 3.30922 [-(f(x)-x)^2 ogf] A350830 8.54883 [x revegf] A350851 4.46745 [-1/2*(2*I*x^2+I*x-3*((2*x+1)*(2*x-1))^(1/2)*x-I+((2*x+1)*(2*x-1))^(1/2))/(x-1)/((2*x+1)*(2*x-1))^(1/2)/x/(2*x-1) ogf] A350855 11.4968 [exp(x)*(-x^2+6*exp(-x)+4*x-5)/(x-1)^2 egf] A350869 4.21885 [{a(n+3)-11100*a(n+2)+11100000*a(n+1)-1000000000*a(n),a(0)=0,a(1)=2025,a(2)=24502500} ogf] A350869 7.01384 [-2025*x*(1000*x+1)/(100*x-1)/(1000*x-1)/(10000*x-1) ogf] A350869 7.79316 [-2025*x*(1000*x+1)/(100*x-1)/(1000*x-1)/(10000*x-1) ogf] A350898 4.85433 [-x^3*(x^41+x^40-x^34-x^33-x^32-x^30+x^28+x^16+x^15-x^13-x^12-x^5+x^3+x^2-1)/(x-1)/(x+1)/(x^28+x^3-1) ogf] A350898 5.0598 [-x^3*(x^41+x^40-x^34-x^33-x^32-x^30+x^28+x^16+x^15-x^13-x^12-x^5+x^3+x^2-1)/(x-1)/(x+1)/(x^28+x^3-1) ogf] A350901 3.74904 [{a(n+6)-8*a(n+5)-40*a(n+4)+60*a(n+3)+40*a(n+2)-8*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=42,a(4)=399,a(5)=4655} ogf] A350901 6.58526 [-x*(3*x^4+3*x^3-22*x^2-5*x+1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A350901 7.07762 [-x*(3*x^4+3*x^3-22*x^2-5*x+1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A350917 14.9097 [-(17*x^2-22*x+1)/(x-1)/(x^2-23*x+1) ogf] A350917 16.8977 [-(17*x^2-22*x+1)/(x-1)/(x^2-23*x+1) ogf] A350917 8.1109 [(565315*f(x)-333136)*(f(x)*x^3-24*f(x)*x^2+24*f(x)*x+17*x^2-f(x)-22*x+1) ogf] A350917 9.30147 [-(17*x^4-44*x^3+123*x^2-14*x+2)/(17*x^5-430*x^4+937*x^3-569*x^2+46*x-1) lgdogf] A350917 9.47535 [{-a(n+3)+24*a(n+2)-24*a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=41} ogf] A350919 10.3006 [-(14*x^4-54*x^3+79*x^2-44*x+9)/(14*x^5-83*x^4+173*x^3-158*x^2+63*x-9) lgdogf] A350919 10.4967 [{-a(n+3)+4*a(n+2)-4*a(n+1)+a(n),a(0)=9,a(1)=9,a(2)=14} ogf] A350919 15.9733 [-(7*x-3)*(2*x-3)/(x-1)/(x^2-3*x+1) ogf] A350919 18.0682 [-(7*x-3)*(2*x-3)/(x-1)/(x^2-3*x+1) ogf] A350919 9.10874 [-(55*f(x)+1117)*(f(x)*x^3-4*f(x)*x^2+4*f(x)*x+14*x^2-f(x)-27*x+9) ogf] A350920 10.1384 [{-a(n+3)+5*a(n+2)-5*a(n+1)+a(n),a(0)=5,a(1)=5,a(2)=11} ogf] A350920 15.8886 [-(11*x^2-20*x+5)/(x-1)/(x^2-4*x+1) ogf] A350920 18.043 [-(11*x^2-20*x+5)/(x-1)/(x^2-4*x+1) ogf] A350920 9.17703 [(35*f(x)+167)*(f(x)*x^3-5*f(x)*x^2+5*f(x)*x+11*x^2-f(x)-20*x+5) ogf] A350920 9.94897 [-(11*x^4-40*x^3+60*x^2-28*x+5)/(11*x^5-75*x^4+160*x^3-136*x^2+45*x-5) lgdogf] A350921 12.4431 [-(11*x^2-18*x+3)/(x-1)/(x^2-6*x+1) ogf] A350921 14.1303 [-(11*x^2-18*x+3)/(x-1)/(x^2-6*x+1) ogf] A350921 7.24947 [(25*f(x)+16)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+11*x^2-f(x)-18*x+3) ogf] A350921 7.79150 [-(11*x^4-36*x^3+58*x^2-20*x+3)/(11*x^5-95*x^4+206*x^3-158*x^2+39*x-3) lgdogf] A350921 7.93989 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=3,a(1)=3,a(2)=11} ogf] A350922 11.0878 [-(5*x-1)*(x-2)/(x-1)/(x^2-7*x+1) ogf] A350922 12.542 [-(5*x-1)*(x-2)/(x-1)/(x^2-7*x+1) ogf] A350922 6.59535 [(2649*f(x)-95)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+5*x^2-f(x)-11*x+2) ogf] A350922 7.28629 [-(5*x^4-22*x^3+54*x^2-22*x+5)/(5*x^5-51*x^4+130*x^3-109*x^2+27*x-2) lgdogf] A350922 7.28629 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=2,a(1)=5,a(2)=29} ogf] A350923 11.8567 [-2*(7*x^2-10*x+1)/(x-1)/(x^2-10*x+1) ogf] A350923 13.4644 [-2*(7*x^2-10*x+1)/(x-1)/(x^2-10*x+1) ogf] A350923 6.90781 [(2*f(x)-1)*(f(x)*x^3-11*f(x)*x^2+11*f(x)*x+14*x^2-f(x)-20*x+2) ogf] A350923 7.42428 [{-a(n+3)+11*a(n+2)-11*a(n+1)+a(n),a(0)=2,a(1)=2,a(2)=14} ogf] A350923 7.63843 [-(7*x^4-20*x^3+36*x^2-8*x+1)/(7*x^5-87*x^4+188*x^3-128*x^2+21*x-1) lgdogf] A350924 11.0887 [-(9*x^2-14*x+1)/(x-1)/(x^2-16*x+1) ogf] A350924 12.5922 [-(9*x^2-14*x+1)/(x-1)/(x^2-16*x+1) ogf] A350924 6.08969 [(53349*f(x)-20660)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+9*x^2-f(x)-14*x+1) ogf] A350924 6.94338 [{-a(n+3)+17*a(n+2)-17*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=43} ogf] A350924 7.00888 [-(9*x^4-28*x^3+88*x^2-16*x+3)/(9*x^5-167*x^4+392*x^3-264*x^2+31*x-1) lgdogf] A350925 10.3501 [-(3*x^2-8*x+1)/(x-1)/(x^2-16*x+1) ogf] A350925 11.7778 [-(3*x^2-8*x+1)/(x-1)/(x^2-16*x+1) ogf] A350925 5.59926 [(571629*f(x)-62411)*(f(x)*x^3-17*f(x)*x^2+17*f(x)*x+3*x^2-f(x)-8*x+1) ogf] A350925 6.32509 [{-a(n+3)+17*a(n+2)-17*a(n+1)+a(n),a(0)=1,a(1)=9,a(2)=139} ogf] A350925 6.50581 [-(3*x^4-16*x^3+88*x^2-28*x+9)/(3*x^5-59*x^4+188*x^3-156*x^2+25*x-1) lgdogf] A350926 11.6885 [-(2*x^2-7*x+1)/(x-1)/(x^2-23*x+1) ogf] A350926 13.3007 [-(2*x^2-7*x+1)/(x-1)/(x^2-23*x+1) ogf] A350926 6.12256 [(52173235*f(x)-2925751)*(f(x)*x^3-24*f(x)*x^2+24*f(x)*x+2*x^2-f(x)-7*x+1) ogf] A350926 7.07746 [{-a(n+3)+24*a(n+2)-24*a(n+1)+a(n),a(0)=1,a(1)=17,a(2)=386} ogf] A350926 7.20975 [-(2*x^4-14*x^3+123*x^2-44*x+17)/(2*x^5-55*x^4+217*x^3-194*x^2+31*x-1) lgdogf] A350963 7.15971 [-(2*x^7-6*x^6-24*x^5-33*x^4-33*x^3-28*x^2-9*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A350963 7.6852 [-(2*x^7-6*x^6-24*x^5-33*x^4-33*x^3-28*x^2-9*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A350965 13.57 [2*(x+1)/(x^2-10*x+1) ogf] A350965 16.4269 [2*(x+1)/(x^2-10*x+1) ogf] A350965 7.09342 [(54*f(x)+13)*(f(x)*x^2-10*f(x)*x+f(x)-2*x-2) ogf] A350965 8.21344 [{-a(n+2)+10*a(n+1)-a(n),a(0)=2,a(1)=22} ogf] A350965 9.60340 [-(x^2+2*x-11)/(x^3-9*x^2-9*x+1) lgdogf] A350966 5.84139 [-(445927680*f(x)-99876587)*(f(x)*x^4-254*f(x)*x^2-5*x^3-37*x^2+f(x)-37*x-5) ogf] A350966 6.76946 [{a(n+4)-254*a(n+2)+a(n),a(0)=5,a(1)=37,a(2)=1307,a(3)=9403} ogf] A350966 8.623 [(x+1)*(5*x^2+32*x+5)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A350966 9.53068 [(x+1)*(5*x^2+32*x+5)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A350967 14.7502 [9*(x+1)/(x^2-110*x+1) ogf] A350967 17.7759 [9*(x+1)/(x^2-110*x+1) ogf] A350967 7.37512 [(12208*f(x)+1017)*(f(x)*x^2-110*f(x)*x+f(x)-9*x-9) ogf] A350967 8.88796 [{-a(n+2)+110*a(n+1)-a(n),a(0)=9,a(1)=999} ogf] A350967 9.90373 [-(x^2+2*x-111)/(x^3-109*x^2-109*x+1) lgdogf] A350968 10.536 [(5*x^2-55*x-4)/(x-1)/(x^2-110*x+1) ogf] A350968 12.0412 [(5*x^2-55*x-4)/(x-1)/(x^2-110*x+1) ogf] A350968 4.85111 [-(48734393232*f(x)+1750921117)*(f(x)*x^3-111*f(x)*x^2+111*f(x)*x-5*x^2-f(x)+55*x+4) ogf] A350968 5.86351 [-(5*x^4-110*x^3+5538*x^2+898*x-499)/(5*x^5-610*x^4+6656*x^3-5666*x^2-389*x+4) lgdogf] A350968 5.91495 [{-a(n+3)+111*a(n+2)-111*a(n+1)+a(n),a(0)=4,a(1)=499,a(2)=54940} ogf] A350973 11.3410 [-(45*x^2+174*x+61)/(9*x^3+17*x^2-21*x-5) lgdegf] A350973 17.258 [-(9*x^2+26*x+5)/(x-1)^7 egf] A350973 20.8913 [-(9*x^2+26*x+5)/(x-1)^7 egf] A350974 11.3817 [1/(x-1)^10*(225*x^3+1179*x^2+775*x+61) egf] A350974 6.47194 [-(1575*x^3+10107*x^2+9333*x+1385)/(225*x^4+954*x^3-404*x^2-714*x-61) lgdegf] A350979 11.6939 [(20*x^2-397*x-1)/(x-1)/(x^2-254*x+1) ogf] A350979 13.3068 [(20*x^2-397*x-1)/(x-1)/(x^2-254*x+1) ogf] A350979 5.39716 [-(442559830144*f(x)+29261537165)*(f(x)*x^3-255*f(x)*x^2+255*f(x)*x-20*x^2-f(x)+397*x+1) ogf] A350979 6.71125 [{-a(n+3)+255*a(n+2)-255*a(n+1)+a(n),a(0)=1,a(1)=652,a(2)=165985} ogf] A350980 10.4363 [(4*x^2-365*x-17)/(x-1)/(x^2-254*x+1) ogf] A350980 11.8758 [(4*x^2-365*x-17)/(x-1)/(x^2-254*x+1) ogf] A350980 4.71777 [-(22906214886784*f(x)+100030814285)*(f(x)*x^3-255*f(x)*x^2+255*f(x)*x-4*x^2-f(x)+365*x+17) ogf] A350980 5.83724 [{-a(n+3)+255*a(n+2)-255*a(n+1)+a(n),a(0)=17,a(1)=4700,a(2)=1194161} ogf] A350981 4.46849 [{a(n+5)-a(n+4)-254*a(n+3)+254*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=17,a(2)=652,a(3)=4700,a(4)=165985} ogf] A350981 7.76564 [(4*x^4+16*x^3-381*x^2-16*x-1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A350981 8.41958 [(4*x^4+16*x^3-381*x^2-16*x-1)/(x-1)/(x^2-16*x+1)/(x^2+16*x+1) ogf] A350982 12.6594 [7*x*(x-7)/(x-1)/(x^2-14*x+1) ogf] A350982 14.5348 [7*x*(x-7)/(x-1)/(x^2-14*x+1) ogf] A350982 7.26742 [{a(n+3)-15*a(n+2)+15*a(n+1)-a(n),a(0)=0,a(1)=49,a(2)=728} ogf] A350982 7.40455 [-f(x)*(f(x)*x^3-15*f(x)*x^2+15*f(x)*x-7*x^2-f(x)+49*x) ogf] A350982 8.72090 [-(2*x^3-36*x^2+210*x-104)/(x^4-22*x^3+120*x^2-106*x+7) lgdogf] A350983 13.0565 [-(5*x-1)^2/(x-1)/(x^2-34*x+1) ogf] A350983 15.1455 [-(5*x-1)^2/(x-1)/(x^2-34*x+1) ogf] A350983 6.36368 [(912*f(x)-637)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+25*x^2-f(x)-10*x+1) ogf] A350983 6.9475 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=25,a(2)=865} ogf] A350983 8.60542 [-(5*x^3-3*x^2-105*x-25)/(5*x^4-176*x^3+210*x^2-40*x+1) lgdogf] A350984 11.3066 [{a(n+2)-34*a(n+1)+a(n),a(0)=0,a(1)=18} ogf] A350984 13.9016 [-f(x)*x^2+34*f(x)*x-f(x)+18*x ogf] A350984 16.9600 [-(2*x-34)/(x^2-34*x+1) lgdogf] A350984 21.7435 [18*x/(x^2-34*x+1) ogf] A350984 27.3548 [18*x/(x^2-34*x+1) ogf] A350985 10.3603 [-(x^3+3*x^2-105*x+37)/(x^4-34*x^3+34*x-1) lgdogf] A350985 13.7542 [-4*(x+1)^2/(x-1)/(x^2-34*x+1) ogf] A350985 15.9549 [-4*(x+1)^2/(x-1)/(x^2-34*x+1) ogf] A350985 6.59291 [(80847*f(x)-10360)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+4*x^2-f(x)+8*x+4) ogf] A350985 7.18687 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=4,a(1)=148,a(2)=5044} ogf] A350986 10.2477 [{-a(n+2)+34*a(n+1)-a(n),a(0)=3,a(1)=105} ogf] A350986 11.7772 [-(x^2+2*x-35)/(x^3-33*x^2-33*x+1) lgdogf] A350986 17.1537 [3*(x+1)/(x^2-34*x+1) ogf] A350986 20.765 [3*(x+1)/(x^2-34*x+1) ogf] A350986 8.86597 [(396*f(x)+37)*(f(x)*x^2-34*f(x)*x+f(x)-3*x-3) ogf] A350994 10.586 [3*(104*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A350994 12.0462 [3*(104*x-5)/(x-1)/(100*x-1)/(10*x-1) ogf] A350994 4.85192 [-(42752187722673*f(x)+24433215972520)*(1000*f(x)*x^3-1110*f(x)*x^2+111*f(x)*x-f(x)-312*x+15) ogf] A350994 5.77419 [{a(n+3)-111*a(n+2)+1110*a(n+1)-1000*a(n),a(0)=15,a(1)=1353,a(2)=133533} ogf] A350994 6.23819 [-(208000*x^3-130440*x^2+11100*x-451)/(104000*x^4-120440*x^3+17094*x^2-659*x+5) lgdogf] A350995 11.1599 [{-a(n+2)+11*a(n+1)-10*a(n),a(0)=5,a(1)=53} ogf] A350995 12.1029 [-(20*x^2-100*x+53)/(20*x^3-72*x^2+57*x-5) lgdogf] A350995 17.1862 [-(2*x-5)/(10*x-1)/(x-1) ogf] A350995 20.4598 [-(2*x-5)/(10*x-1)/(x-1) ogf] A350995 9.44296 [(483*f(x)+394)*(10*f(x)*x^2-11*f(x)*x+f(x)+2*x-5) ogf] A351103 7.34161 [-x^3*(5*x^8+4*x^7+3*x^6-14*x^5-11*x^4-6*x^3+12*x^2+7*x+3)/(x-1)^3/(x^2+x+1)^3 ogf] A351103 7.86601 [-x^3*(5*x^8+4*x^7+3*x^6-14*x^5-11*x^4-6*x^3+12*x^2+7*x+3)/(x-1)^3/(x^2+x+1)^3 ogf] A351105 10.3708 [x*(36*x^5+460*x^4+1065*x^3+603*x^2+75*x+1)/(x-1)^10 ogf] A351105 9.32063 [x*(36*x^5+460*x^4+1065*x^3+603*x^2+75*x+1)/(x-1)^10 ogf] A351169 6.12776 [(x^10+x^9+x^8-5*x^7+x^6-x^2-x+5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A351169 6.51682 [(x^10+x^9+x^8-5*x^7+x^6-x^2-x+5)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A351238 11.8251 [-13*(1000*x-1)/(1000000*x-1)/(x-1) ogf] A351238 13.6801 [-13*(1000*x-1)/(1000000*x-1)/(x-1) ogf] A351238 5.49357 [-(998999999001*f(x)-12961013000)*(1000000*f(x)*x^2-1000001*f(x)*x+f(x)+13000*x-13) ogf] A351238 7.42216 [{a(n+2)-1000001*a(n+1)+1000000*a(n),a(0)=13,a(1)=12987013} ogf] A351239 10.5984 [-11*(1000*x-1)/(1000000*x-1)/(x-1) ogf] A351239 4.25604 [-(998999999001*f(x)-10967011000)*(1000000*f(x)*x^2-1000001*f(x)*x+f(x)+11000*x-11) ogf] A351239 5.75018 [{a(n+2)-1000001*a(n+1)+1000000*a(n),a(0)=11,a(1)=10989011} ogf] A351239 9.16131 [-11*(1000*x-1)/(1000000*x-1)/(x-1) ogf] A351241 2.24129 [-(f(x)-2)*(f(x)*x-f(x)+1)^2 ogf] A351241 5.36307 [-1/(x-1) lgdogf] A351323 4.78168 [-(x-1)*(6*x^6+12*x^5+6*x^4-7*x^3-5*x^2-x+1)/(8*x^11+8*x^10+44*x^9-102*x^7-36*x^6+42*x^5+43*x^4-2*x^3-8*x^2-2*x+1) ogf] A351323 5.01782 [-(x-1)*(6*x^6+12*x^5+6*x^4-7*x^3-5*x^2-x+1)/(8*x^11+8*x^10+44*x^9-102*x^7-36*x^6+42*x^5+43*x^4-2*x^3-8*x^2-2*x+1) ogf] A351353 10.3091 [(x+1)*(x^2+10*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A351353 6.93521 [(3230*f(x)+1097)*(f(x)*x^4-18*f(x)*x^2-x^3-11*x^2+f(x)-11*x-1) ogf] A351353 7.40654 [{a(n+4)-18*a(n+2)+a(n),a(0)=1,a(1)=11,a(2)=29,a(3)=199} ogf] A351353 9.30334 [(x+1)*(x^2+10*x+1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A351354 4.58833 [{-a(n+5)+a(n+4)+18*a(n+3)-18*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=7,a(3)=45,a(4)=117} ogf] A351354 7.60223 [-(x^4+2*x^3-14*x^2+2*x+1)/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A351354 8.24922 [-(x^4+2*x^3-14*x^2+2*x+1)/(x-1)/(x^2+4*x-1)/(x^2-4*x-1) ogf] A351374 30.2198 [-2/(x-1) lgdogf] A351412 10.2531 [(x^6-x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A351412 11.135 [(x^6-x^5+2*x^4+2*x^3+2*x^2+2*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A351412 6.47224 [{a(n+7)-a(n+5)-a(n+3)+a(n+1),a(0)=1,a(1)=2,a(2)=3,a(3)=4,a(4)=6,a(5)=5,a(6)=9} ogf] A351529 10.9414 [-(36*x^2+18*x-7)/(12*x^3+9*x^2-7*x+1) lgdogf] A351529 16.2905 [x^2/(4*x-1)/(3*x^2+3*x-1) ogf] A351529 19.8127 [x^2/(4*x-1)/(3*x^2+3*x-1) ogf] A351529 7.1172 [{-a(n+3)+7*a(n+2)-9*a(n+1)-12*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A351529 8.9399 [12*f(x)*x^3+9*f(x)*x^2-7*f(x)*x-x^2+f(x) ogf] A351530 10.1417 [-(60*x^2+32*x-9)/(20*x^3+16*x^2-9*x+1) lgdogf] A351530 15.3253 [x^2/(5*x-1)/(4*x^2+4*x-1) ogf] A351530 18.6389 [x^2/(5*x-1)/(4*x^2+4*x-1) ogf] A351530 6.63113 [{-a(n+3)+9*a(n+2)-16*a(n+1)-20*a(n),a(0)=0,a(1)=0,a(2)=1} ogf] A351530 8.30889 [20*f(x)*x^3+16*f(x)*x^2-9*f(x)*x-x^2+f(x) ogf] A351531 6.70599 [{3*a(n+1)*n-a(n+3)+a(n+2)+9*a(n+1),a(0)=1,a(1)=1,a(2)=7} ogf] A351586 6.53973 [-(192*x^5+40*x^4-224*x^3-120*x^2-24*x-5)/(32*x^6+8*x^5-56*x^4-40*x^3-12*x^2-5*x+1) ogf] A351586 7.00272 [-(192*x^5+40*x^4-224*x^3-120*x^2-24*x-5)/(32*x^6+8*x^5-56*x^4-40*x^3-12*x^2-5*x+1) ogf] A351632 15.0000 [-(40*x+40)/(8*x^2+2*x-3) lgdogf] A351632 17.8571 [64*x^3*(4*x+3)/(2*x-1)^6 ogf] A351632 22.0588 [64*x^3*(4*x+3)/(2*x-1)^6 ogf] A351635 10.3877 [-2*(2*x^5-x^4-7*x^3+3*x+1)/(x-1)/(x+1)/(x^4-4*x^2+1) ogf] A351635 11.3215 [-2*(2*x^5-x^4-7*x^3+3*x+1)/(x-1)/(x+1)/(x^4-4*x^2+1) ogf] A351635 6.9973 [{a(n+6)-5*a(n+4)+5*a(n+2)-a(n),a(0)=2,a(1)=6,a(2)=10,a(3)=16,a(4)=38,a(5)=54} ogf] A351653 3.73371 [-(x^2+1)*(10*x^18+10*x^17+10*x^14+10*x^13+10*x^10+x^9+x^8+x^5+x^4+x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A351653 3.87461 [-(x^2+1)*(10*x^18+10*x^17+10*x^14+10*x^13+10*x^10+x^9+x^8+x^5+x^4+x+1)/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf] A351683 10.0585 [-x*(x+1)/(x-1)/(x^2-194*x+1) ogf] A351683 11.5215 [-x*(x+1)/(x-1)/(x^2-194*x+1) ogf] A351683 5.60782 [(196*f(x)+1)*(f(x)*x^3-195*f(x)*x^2+195*f(x)*x+x^2-f(x)+x) ogf] A351683 5.81361 [{a(n+3)-195*a(n+2)+195*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=196} ogf] A351683 7.72785 [-(2*x^3-192*x^2-390*x+196)/(x^4-194*x^3+194*x-1) lgdogf] A351685 7.79845 [-(13713*x^22-14366*x^21+840*x^9-945*x^8+51*x^4-68*x^3+3*x^2-5*x-1)/(x-1)^2 ogf] A351689 7.27862 [-(30051*x^22-31482*x^21+1840*x^9-2070*x^8+111*x^4-148*x^3+6*x^2-12*x-1)/(x-1)^2 ogf] A351697 6.15774 [-(3*x^10+15*x^9+5*x^8+90*x^7+135*x^6+17*x^5+135*x^4+90*x^3+5*x^2+15*x+3)/(x-1)^5/(x^2+x+1)^5 ogf] A351697 6.53379 [-(3*x^10+15*x^9+5*x^8+90*x^7+135*x^6+17*x^5+135*x^4+90*x^3+5*x^2+15*x+3)/(x-1)^5/(x^2+x+1)^5 ogf] A351704 15.8612 [(4*x^4+x^3-2*x^2+1)/(x+1)^3/(x-1)^4 ogf] A351704 18.0873 [(4*x^4+x^3-2*x^2+1)/(x+1)^3/(x-1)^4 ogf] A351704 9.45853 [-(12*x^5+8*x^4+7*x^3+x^2+3*x+1)/(4*x^6+x^5-6*x^4-x^3+3*x^2-1) lgdogf] A351706 5.52773 [-(8*x^42+8*x^40+8*x^34+8*x^32+4*x^10+4*x^8+2*x^2+1)/(x-1)/(x^2+1)/(x^8+1)/(x^32+1) ogf] A351706 5.8553 [-(8*x^42+8*x^40+8*x^34+8*x^32+4*x^10+4*x^8+2*x^2+1)/(x-1)/(x^2+1)/(x^8+1)/(x^32+1) ogf] A351724 6.25882 [-1/(x^2-x+1)/(x^23+x^22-x^20-x^19+x^17+x^16-x^14-x^13+x^11+x^10+x^3+x^2-1) ogf] A351724 6.61904 [-1/(x^2-x+1)/(x^23+x^22-x^20-x^19+x^17+x^16-x^14-x^13+x^11+x^10+x^3+x^2-1) ogf] A351733 11.757 [-2*exp(x)*(exp(-x)-x-1) lgdegf] A351733 14.9635 [-2+2*exp(x)*(x+1) lgdegf] A351734 12.5298 [-3*exp(x)*(exp(-x)-x-1) lgdegf] A351734 15.9470 [-3+3*exp(x)*(x+1) lgdegf] A351735 4.96874 [I*(3*I*ln(3*x-1)*x-I*ln(3*x-1)+3*I*x+3*Pi*x-Pi)/(3*x-1) lgdegf] A351735 9.63635 [I*Pi-1-1/(3*x-1)-ln(3*x-1) lgdegf] A351736 11.952 [-exp(2*x)*(exp(-2*x)-2*x-1) lgdegf] A351736 12.8057 [2*exp(2*x)*x+exp(2*x)-1 lgdegf] A351737 11.9751 [-exp(3*x)*(exp(-3*x)-3*x-1) lgdegf] A351737 12.8305 [3*exp(3*x)*x+exp(3*x)-1 lgdegf] A351742 4.07113 [-1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x+1)^2/(x^2+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A351742 4.25939 [-1/(x^2-x+1)/(x^6+x^3+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x+1)^2/(x^2+1)^2/(x^2+x+1)^2/(x-1)^3 ogf] A351744 5.65471 [-(10*x^22-10*x^20-x^12-x^10-x^2-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A351744 5.98017 [-(10*x^22-10*x^20-x^12-x^10-x^2-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A351760 7.45546 [-x^2*(x^7+262*x^6+5263*x^5+23364*x^4+30415*x^3+12038*x^2+1217*x+16)/(x-1)^11 ogf] A351760 8.03453 [-x^2*(x^7+262*x^6+5263*x^5+23364*x^4+30415*x^3+12038*x^2+1217*x+16)/(x-1)^11 ogf] A351766 7.63158 [-x*(16*x^7+1217*x^6+12038*x^5+30415*x^4+23364*x^3+5263*x^2+262*x+1)/(x-1)^11 ogf] A351766 8.22432 [-x*(16*x^7+1217*x^6+12038*x^5+30415*x^4+23364*x^3+5263*x^2+262*x+1)/(x-1)^11 ogf] A351767 11.6726 [-(3*x^3-9*x^2+7*x-4)/(x-1)^4 lgdegf] A351767 8.17082 [-(3*x^3-9*x^2+7*x-4)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A351782 11.7561 [x*(2*x^3+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A351782 13.203 [x*(2*x^3+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A351782 6.75745 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=2,a(4)=4} ogf] A351782 7.66247 [-(4*x^6+2*x^5+6*x^4+8*x^3+8*x^2+2*x+2)/(2*x^7+x^5+x^4-2*x^3-x-1) lgdogf] A351825 25.1819 [1/(x^2-2*x+1) lgdegf] A351825 3.24928 [{-a(n+1)*n^3+2*a(n+2)*n^2-4*a(n+1)*n^2-a(n+3)*n+7*a(n+2)*n-a(n+1)*n-a(n+3)+3*a(n+2)+6*a(n+1),a(0)=0,a(1)=0,a(2)=2} ogf] A351825 33.5759 [1/(x-1)^2 lgdegf] A351831 2.65194 [-x*(45*x^22+90*x^21+1)/(135*x^22-90*x^21-x^2+2*x-1) ogf] A351831 2.92393 [-x*(45*x^22+90*x^21+1)/(135*x^22-90*x^21-x^2+2*x-1) ogf] A351831 8.14525 [-2/(x-1) lgdogf] A351860 12.7566 [-x^5*(10*x^4-30*x^3+24*x^2+5*x-10)/(x-1)^4 ogf] A351860 14.4296 [-x^5*(10*x^4-30*x^3+24*x^2+5*x-10)/(x-1)^4 ogf] A351860 8.98167 [-(10*x^3-42*x^2+63*x-35)/(10*x^5-40*x^4+54*x^3-19*x^2-15*x+10) lgdogf] A351873 8.12574 [-(2*x^6+3*x^5+4*x^4+4*x^3+2*x^2+x+1)/(2*x^7+x^6+x^5+x-1) ogf] A351873 8.82473 [-(2*x^6+3*x^5+4*x^4+4*x^3+2*x^2+x+1)/(2*x^7+x^6+x^5+x-1) ogf] A351874 8.78909 [-(x^6+x^5+2*x^4+2*x^3+x^2+x+1)/(x^7+x^5+x-1) ogf] A351874 9.61629 [-(x^6+x^5+2*x^4+2*x^3+x^2+x+1)/(x^7+x^5+x-1) ogf] A351891 10.8603 [1/2*exp(2^(1/2)*x)+1/2*exp(-2^(1/2)*x) lgdegf] A351892 11.5843 [1/2*exp(3^(1/2)*x)+1/2*exp(-3^(1/2)*x) lgdegf] A351892 11.5844 [1/2*exp(3^(1/2)*x)+1/2*exp(-3^(1/2)*x) lgdegf] A351905 3.71564 [{-4*a(n+1)*n^3-36*a(n+1)*n^2-104*a(n+1)*n-a(n+5)+a(n+4)-96*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=-23} ogf] A351906 3.8618 [{-a(n+6)*n+a(n+5)-5*a(n+1)-6*a(n+6),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=1/24,a(5)=-119/120} egf] A351906 4.21937 [x*(41651314094400*x^10+3769374200*x^5+7309)/(41651314094400*x^11+41211724392000*x^10+3769374200*x^6+3768497120*x^5+7309*x+7309) revogf] A351929 26.1816 [1-1/2*x^2 lgdegf] A351929 4.66933 [{a(n+1)*n^2+5*a(n+1)*n-2*a(n+3)+6*a(n+1)+2*a(n+4),a(0)=1,a(1)=1,a(2)=1,a(3)=0} ogf] A351930 3.61976 [{-a(n+1)*n^3-9*a(n+1)*n^2-26*a(n+1)*n-24*a(n+1)+6*a(n+4)-6*a(n+5),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=0} ogf] A351931 4.32658 [{-24*a(n+6)*n-a(n+1)-144*a(n+6)+24*a(n+5),a(0)=1,a(1)=1,a(2)=1/2,a(3)=1/6,a(4)=1/24,a(5)=0} egf] A351932 29.2234 [1+1/6*x^3 lgdegf] A351932 4.13259 [{a(n+1)*n^3+9*a(n+1)*n^2+26*a(n+1)*n+24*a(n+1)+6*a(n+4)-6*a(n+5),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=2} ogf] A351933 12.3740 [-(-2*x^2-4)/(x^4-4*x^2+4) lgdegf] A351933 14.4363 [2*(x^2+2)/(x^2-2)^2 lgdegf] A351933 3.41352 [{4*a(n+4)*n-4*a(n+2)*n+a(n)*n-4*a(n+3)-2*a(n+1)+16*a(n+4)-8*a(n+2),a(0)=1,a(1)=1,a(2)=1/2,a(3)=2/3} egf] A351934 12.4463 [-(-12*x^3-36)/(x^6-12*x^3+36) lgdegf] A351934 15.2404 [12*(x^3+3)/(x^3-6)^2 lgdegf] A351935 12.0340 [-(-72*x^4-576)/(x^8-48*x^4+576) lgdegf] A351935 14.9221 [72*(x^4+8)/(x^4-24)^2 lgdegf] A351936 10.6040 [-(-480*x^5-14400)/(x^10-240*x^5+14400) lgdegf] A351936 13.8052 [480*(x^5+30)/(x^5-120)^2 lgdegf] A351937 7.72169 [1/4*exp(x)*x+1/2*exp(x)-1/4*exp(-x)*x+1/2*exp(-x) lgdegf] A351937 9.65212 [1/4*exp(x)*(x+2)-1/4*exp(-x)*(x-2) lgdegf] A351966 6.44374 [(x^9-2*x^8-4*x^7+11*x^6+25*x^5+32*x^4+38*x^3+22*x^2+8*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A351966 6.86628 [(x^9-2*x^8-4*x^7+11*x^6+25*x^5+32*x^4+38*x^3+22*x^2+8*x+1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A351967 6.25139 [-(2*x^9+6*x^8-5*x^7-13*x^6-27*x^5-37*x^4-30*x^3-19*x^2-8*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A351967 6.64831 [-(2*x^9+6*x^8-5*x^7-13*x^6-27*x^5-37*x^4-30*x^3-19*x^2-8*x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A351971 4.95048 [-(2*x-1)^3*(2*x^2-2*x+1)^3/(x-1)/(x^8+16*x^6-48*x^5+68*x^4-56*x^3+28*x^2-8*x+1)/(x^4+4*x^3-6*x^2+4*x-1) ogf] A351971 5.21451 [-(2*x-1)^3*(2*x^2-2*x+1)^3/(x-1)/(x^8+16*x^6-48*x^5+68*x^4-56*x^3+28*x^2-8*x+1)/(x^4+4*x^3-6*x^2+4*x-1) ogf] A351990 14.0831 [-(-x^4-6*x^2-2*x-3)/(x^3+3*x+2) lgdegf] A351990 15.022 [(x^4+6*x^2+2*x+3)/(x^3+3*x+2) lgdegf] A351992 13.5975 [x*(x^4-2*x^3-4*x-1)/(x-1)^3/(x+1)^3 ogf] A351992 15.5059 [x*(x^4-2*x^3-4*x-1)/(x-1)^3/(x+1)^3 ogf] A351992 6.31313 [{a(n+6)-3*a(n+4)+3*a(n+2)-a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=3,a(4)=14,a(5)=5} ogf] A351992 7.82157 [-(2*x^5-6*x^4+4*x^3-26*x^2-6*x-4)/(x^6-2*x^5-x^4-2*x^3-x^2+4*x+1) lgdogf] A352007 5.53643 [(6561*x^10-2187*x^8-27*x^4-3*x^2+1)/(3*x-1)/(2187*x^9+1458*x^8-243*x^7-81*x^6-27*x^5-9*x^3-3*x^2-2*x-1) ogf] A352007 5.85507 [(6561*x^10-2187*x^8-27*x^4-3*x^2+1)/(3*x-1)/(2187*x^9+1458*x^8-243*x^7-81*x^6-27*x^5-9*x^3-3*x^2-2*x-1) ogf] A352008 5.93046 [(65536*x^10-16384*x^8-64*x^4-4*x^2+1)/(65536*x^10+16384*x^9-16384*x^8+64*x^5-64*x^4-4*x^2-x+1) ogf] A352008 6.307 [(65536*x^10-16384*x^8-64*x^4-4*x^2+1)/(65536*x^10+16384*x^9-16384*x^8+64*x^5-64*x^4-4*x^2-x+1) ogf] A352010 5.61683 [(6561*x^10+2187*x^8+27*x^4+3*x^2+1)/(6561*x^10-2187*x^9+2187*x^8-27*x^5+27*x^4+3*x^2-x+1) ogf] A352010 5.98819 [(6561*x^10+2187*x^8+27*x^4+3*x^2+1)/(6561*x^10-2187*x^9+2187*x^8-27*x^5+27*x^4+3*x^2-x+1) ogf] A352011 5.50327 [(65536*x^10+16384*x^8+64*x^4+4*x^2+1)/(65536*x^10-16384*x^9+16384*x^8-64*x^5+64*x^4+4*x^2-x+1) ogf] A352011 5.85268 [(65536*x^10+16384*x^8+64*x^4+4*x^2+1)/(65536*x^10-16384*x^9+16384*x^8-64*x^5+64*x^4+4*x^2-x+1) ogf] A352027 5.49306 [-exp(x)*x^2-2*exp(x)*x+exp(2*x)*BesselI(0,2*x)+exp(2*x)*BesselI(1,2*x)-exp(x) egf] A352041 10.7512 [(x-1)^3/(x^16-x^7+3*x^6-3*x^5+4*x^3-6*x^2+4*x-1) ogf] A352041 9.70235 [(x-1)^3/(x^16-x^7+3*x^6-3*x^5+4*x^3-6*x^2+4*x-1) ogf] A352043 5.34053 [-(x^16+x^8-4*x^7+6*x^6-4*x^5+4*x^3-6*x^2+4*x-1)/(x-1)/(x^16-x^7+3*x^6-3*x^5+4*x^3-6*x^2+4*x-1) ogf] A352043 5.63117 [-(x^16+x^8-4*x^7+6*x^6-4*x^5+4*x^3-6*x^2+4*x-1)/(x-1)/(x^16-x^7+3*x^6-3*x^5+4*x^3-6*x^2+4*x-1) ogf] A352111 3.07548 [-x*(39*x^19-x^18-36*x^17+27*x^13-x^12-24*x^11+15*x^7-x^6-12*x^5+3*x-1)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A352111 3.1932 [-x*(39*x^19-x^18-36*x^17+27*x^13-x^12-24*x^11+15*x^7-x^6-12*x^5+3*x-1)/(x+1)/(x^2+1)/(x^4-x^2+1)/(x^4+1)/(x^8-x^4+1)/(x-1)^2 ogf] A352115 11.3021 [-(12*x^3+16*x^2+28*x+8)/(3*x^4+2*x^3-2*x-3) lgdogf] A352115 13.896 [2*x*(3*x^2+2*x+3)/(x+1)^2/(x-1)^4 ogf] A352115 15.9936 [2*x*(3*x^2+2*x+3)/(x+1)^2/(x-1)^4 ogf] A352115 4.2811 [{a(n+6)-2*a(n+5)-a(n+4)+4*a(n+3)-a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=6,a(2)=16,a(3)=44,a(4)=80,a(5)=146} ogf] A352116 12.562 [(x^4+2*x^3+10*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A352116 14.1829 [(x^4+2*x^3+10*x^2+2*x+1)/(x+1)^2/(x-1)^4 ogf] A352116 4.41879 [{-a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=4,a(2)=19,a(3)=40,a(4)=85,a(5)=140} ogf] A352116 8.21811 [-(2*x^5+8*x^4+48*x^3+36*x^2+30*x+4)/(x^6+2*x^5+9*x^4-9*x^2-2*x-1) lgdogf] A352145 19.7296 [-sin(x)+cos(x) lgdegf] A352148 3.84834 [(950*x^15+8905*x^14+2630*x^13+1047*x^12+859*x^11+670*x^10+363*x^9+316*x^8+204*x^7+86*x^6+89*x^5+30*x^4+26*x^3+17*x^2+8*x-1)*x/(10*x-1) ogf] A352161 3.8364 [-(182*f(x)+141275)*(10*f(x)*x^2-f(x)+1125*x+125) ogf] A352161 4.73909 [-(90*x^2+20*x+9)/(90*x^3+10*x^2-9*x-1) lgdogf] A352161 5.19771 [{a(n+2)-10*a(n),a(0)=125,a(1)=1125} ogf] A352161 7.32404 [-125*(9*x+1)/(10*x^2-1) ogf] A352161 8.95161 [-125*(9*x+1)/(10*x^2-1) ogf] A352178 2.14588 [x*(x^12+x^6+2*x+1)/(x+1)/(x-1)^2 ogf] A352180 10.0956 [-(10*x^2-6*x-1)/(x-1)/(x^2+3*x-1) ogf] A352180 11.4881 [-(10*x^2-6*x-1)/(x-1)/(x^2+3*x-1) ogf] A352180 5.8448 [(33*f(x)-61)*(f(x)*x^3+2*f(x)*x^2-4*f(x)*x+10*x^2+f(x)-6*x-1) ogf] A352180 6.28592 [{-a(n+3)+4*a(n+2)-2*a(n+1)-a(n),a(0)=1,a(1)=10,a(2)=28} ogf] A352180 6.34579 [-(10*x^4-12*x^3+25*x^2-24*x+10)/(10*x^5+14*x^4-53*x^3+32*x^2-2*x-1) lgdogf] A352181 13.5302 [-5*x/(x-1)/(x^2-98*x+1) ogf] A352181 16.1074 [-5*x/(x-1)/(x^2-98*x+1) ogf] A352181 6.32254 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=5,a(2)=495} ogf] A352181 8.56344 [f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+5*x ogf] A352181 9.80452 [-(3*x^2-198*x+99)/(x^3-99*x^2+99*x-1) lgdogf] A352182 10.4073 [-(3*x^2-198*x+99)/(x^3-99*x^2+99*x-1) lgdogf] A352182 14.0804 [-30*x/(x-1)/(x^2-98*x+1) ogf] A352182 16.7 [-30*x/(x-1)/(x^2-98*x+1) ogf] A352182 6.58808 [{a(n+3)-99*a(n+2)+99*a(n+1)-a(n),a(0)=0,a(1)=30,a(2)=2970} ogf] A352182 8.97626 [f(x)*x^3-99*f(x)*x^2+99*f(x)*x-f(x)+30*x ogf] A352226 4.87163 [-x*(2*x^34-2*x^30+2*x^26-2*x^22+2*x^18+x^12-2*x^10-x^8+x^4-2*x^2-1)/(x+1)/(x^2+1)/(x^8+1)/(x-1)^2 ogf] A352226 5.11522 [-x*(2*x^34-2*x^30+2*x^26-2*x^22+2*x^18+x^12-2*x^10-x^8+x^4-2*x^2-1)/(x+1)/(x^2+1)/(x^8+1)/(x-1)^2 ogf] A352241 3.05726 [(x^6+x^4+x^3+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A352241 3.35921 [(x^6+x^4+x^3+1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A352279 20.9333 [exp(-x)+exp(x) lgdegf] A352280 17.3015 [3/2*exp(-x)+3/2*exp(x) lgdegf] A352317 13.3725 [-(x^3-x^2-6*x-3)/(x^2+x+1)/(x-1)^2 ogf] A352317 15.0183 [-(x^3-x^2-6*x-3)/(x^2+x+1)/(x-1)^2 ogf] A352317 7.39538 [-(15282*f(x)+290197)*(f(x)*x^4-f(x)*x^3+x^3-f(x)*x-x^2+f(x)-6*x-3) ogf] A352317 8.27279 [{-a(n+4)+a(n+3)+a(n+1)-a(n),a(0)=3,a(1)=9,a(2)=10,a(3)=12} ogf] A352317 8.48859 [-(x^5-x^4-18*x^3-16*x^2-11*x-9)/(x^6-x^5-6*x^4-4*x^3+x^2+6*x+3) lgdogf] A352364 16.5259 [(x+1)*BesselI(0,2*x) lgdegf] A352365 14.9607 [-(x+1)*BesselI(0,2*x) lgdegf] A352367 10.2121 [exp(2*x)*(BesselI(0,-2*x)+BesselI(1,-2*x)) lgdegf] A352370 16.0614 [exp(2*x)*BesselI(0,2*x) lgdegf] A352371 13.7915 [-exp(2*x)*BesselI(0,2*x) lgdegf] A352376 18.1855 [exp(x)*(-x-2) lgdegf] A352384 4.93862 [-(-x^4-3*x^3-3*x^2-x)/(64*x^6+192*x^5+240*x^4+160*x^3+60*x^2+12*x+1) revogf] A352385 6.43775 [-f(x)^3-f(x)^2*x-2*f(x)*x^2-x^3+f(x)^2+2*f(x)*x+x^2 ogf] A352385 6.82020 [RootOf(_Z^6-_Z^5+2*_Z^4*x-2*_Z^3*x+_Z^2*x^2-_Z*x^2+x^3) revogf] A352405 14.7292 [-(15*x^2+6*x+9)/(5*x^3-6*x^2+3*x-2) lgdogf] A352405 19.5388 [-x*(5*x^2-x+2)/(x-1)^5 ogf] A352405 23.3512 [-x*(5*x^2-x+2)/(x-1)^5 ogf] A352405 5.73293 [{-a(n+5)+5*a(n+4)-10*a(n+3)+10*a(n+2)-5*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=9,a(3)=30,a(4)=80} ogf] A352422 2.24803 [-(-24*x^6+39*x^5-3*x^4-3*x^3-3*x^2-3*x+13)/(6*x^7-7*x^6+8*x-7) lgdogf] A352422 2.89033 [x*(6*x^6-x^5-x^4-x^3-x^2-x+7)/(x-1)^2 ogf] A352422 3.22544 [x*(6*x^6-x^5-x^4-x^3-x^2-x+7)/(x-1)^2 ogf] A352432 3.80627 [{a(n+5)-3*a(n+4)-10*a(n+3)+18*a(n+2)+14*a(n+1)-20*a(n),a(0)=1,a(1)=1,a(2)=11,a(3)=29,a(4)=165} ogf] A352432 7.19428 [-(2*x-1)*(2*x^2-1)/(x-1)/(20*x^4+6*x^3-12*x^2-2*x+1) ogf] A352432 7.8877 [-(2*x-1)*(2*x^2-1)/(x-1)/(20*x^4+6*x^3-12*x^2-2*x+1) ogf] A352433 4.77063 [-(2*x-1)*(480*x^4-624*x^3+230*x^2-28*x+1)/(x-1)/(7680*x^5-9648*x^4+4108*x^3-714*x^2+50*x-1) ogf] A352433 5.0688 [-(2*x-1)*(480*x^4-624*x^3+230*x^2-28*x+1)/(x-1)/(7680*x^5-9648*x^4+4108*x^3-714*x^2+50*x-1) ogf] A352434 4.89505 [x*(x^13-x^12+4*x^11-2*x^10+2*x^9+2*x^7+2*x^5+2*x^3+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A352434 5.10225 [x*(x^13-x^12+4*x^11-2*x^10+2*x^9+2*x^7+2*x^5+2*x^3+x+1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1)/(x^4-x^2+1)/(x-1)^2 ogf] A352462 5.02658 [-(10*x^19-901*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A352462 5.23935 [-(10*x^19-901*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A352474 5.71843 [-(240*x^6-1520*x^5+4008*x^4-5592*x^3+4295*x^2-1697*x+268)/(-1+3*x)/(2*x-1)^3/(x-1)^5 ogf] A352474 5.71843 [-(240*x^6-1520*x^5+4008*x^4-5592*x^3+4295*x^2-1697*x+268)/(3*x-1)/(2*x-1)^3/(x-1)^5 ogf] A352474 6.12689 [-(240*x^6-1520*x^5+4008*x^4-5592*x^3+4295*x^2-1697*x+268)/(3*x-1)/(2*x-1)^3/(x-1)^5 ogf] A352526 3.94088 [1/2*I*(2*I*ln(2*x-1)*x+2*I*ln(2*x+1)*x-I*ln(2*x-1)-I*ln(2*x+1)-4*I*x+2*Pi*x+4*I-Pi)/(2*x-1) egf] A352529 16.4069 [-(16*x^15+1)/(x^16+x+1) lgdogf] A352529 30.0792 [1/(x^16+x+1) ogf] A352529 41.0171 [1/(x^16+x+1) ogf] A352530 16.5052 [-(32*x^31+1)/(x^32+x+1) lgdogf] A352530 4.30229 [1/(x^2+x+1)/(x^30-x^29+x^27-x^26+x^24-x^23+x^21-x^20+x^18-x^17+x^15-x^14+x^12-x^11+x^9-x^8+x^6-x^5+x^3-x^2+1) ogf] A352530 4.40672 [(x+1)*(x^34-x^33-x^31+x^3-x^2+x-1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x^28-x^25+x^21-x^18+x^14-x^11+x^7-x^4+1) ogf_with_Euler_transform] A352530 4.47184 [1/(x^2+x+1)/(x^30-x^29+x^27-x^26+x^24-x^23+x^21-x^20+x^18-x^17+x^15-x^14+x^12-x^11+x^9-x^8+x^6-x^5+x^3-x^2+1) ogf] A352601 7.33022 [-27*f(x)^3*x+4*f(x)^3+27*f(x)^2*x-4*f(x)^2-9*f(x)*x+x egf] A352601 8.26780 [(-3/2*I*3^(1/6)-1/2*3^(2/3))*(x-1/3)^(2/3)+3*x-1 revegf] A352617 16.9662 [1/2*exp(-x)+3/2*exp(x) lgdegf] A352617 16.9662 [3/2*exp(x)+1/2*exp(-x) lgdegf] A352624 16.6979 [-1/2*exp(-x)+3/2*exp(x) lgdegf] A352624 16.6979 [3/2*exp(x)-1/2*exp(-x) lgdegf] A352626 14.7944 [-4*(x+2)/(2*x+1)/(4*x-1) lgdogf] A352626 16.0273 [-(4*x+8)/(8*x^2+2*x-1) lgdogf] A352626 4.39606 [{-a(n+3)*n+2*a(n+2)*n+8*a(n+1)*n-3*a(n+3)+12*a(n+2)+12*a(n+1),a(0)=1,a(1)=8,a(2)=42} ogf] A352626 8.01366 [64*f(x)^2*x^3-48*f(x)^2*x^2+12*f(x)^2*x-f(x)^2+4*x^2+4*x+1 ogf] A352639 28.2993 [2*cos(x) lgdegf] A352640 28.2052 [3*cos(x) lgdegf] A352642 14.9648 [2*cos(x)-2*sin(x)*x lgdegf] A352642 14.9649 [2*cos(x)-2*sin(x)*x lgdegf] A352643 16.3188 [3*cos(x)-3*sin(x)*x lgdegf] A352644 8.36131 [exp(x)*x-exp(-x)*x+exp(x)+exp(-x) lgdegf] A352644 8.36132 [exp(x)*x-exp(-x)*x+exp(x)+exp(-x) lgdegf] A352645 6.89302 [3/2*exp(x)*x+3/2*exp(x)-3/2*exp(-x)*x+3/2*exp(-x) lgdegf] A352645 8.61628 [3/2*exp(x)*(x+1)-3/2*exp(-x)*(x-1) lgdegf] A352659 3.91522 [{a(n+4)*n-a(n+1)*n-a(n+5)+5*a(n+4)+a(n+2)-2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=7,a(4)=28} ogf] A352660 3.62976 [{-a(n+5)*n+a(n+1)*n+a(n+6)-6*a(n+5)-a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=25,a(5)=125} ogf] A352669 3.19488 [-4/(x-1) lgdogf] A352669 3.19489 [-4/(x-1) lgdogf] A352674 4.36224 [(x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+4)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A352674 4.55399 [(x^10+4*x^9+4*x^8+4*x^7+4*x^6+4*x^5+4*x^4+4*x^3+4*x^2+4*x+4)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A352681 10.7945 [f(x)^2*x-3*f(x)*x+9*x^2-f(x)+6*x+1 ogf] A352692 10.0857 [(13*f(x)-43)*(2*f(x)*x^2+f(x)*x-f(x)-7*x+4) ogf] A352692 11.8575 [{a(n+2)-a(n+1)-2*a(n),a(0)=4,a(1)=-3} ogf] A352692 12.9037 [-(14*x^2-16*x+3)/(14*x^3-x^2-11*x+4) lgdogf] A352692 19.499 [(7*x-4)/(x+1)/(2*x-1) ogf] A352692 23.7149 [(7*x-4)/(x+1)/(2*x-1) ogf] A352701 7.92649 [(1/2*x-3/4-1/4*(-4*x^2+4*x+1)^(1/2))*x*(x-1) revogf] A352719 2.51909 [x*(2*x^12+3*x^11+3*x^10+3*x^9+3*x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A352719 2.60946 [x*(2*x^12+3*x^11+3*x^10+3*x^9+3*x^8+2*x^7+x^6+2*x^5+x^4+2*x^3+x^2+2*x+1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A352720 6.26985 [(x^8+x^7+2*x^6+x^5+2*x^4+x^3-1)/(x-1)/(x+1)/(x^3+x^2+x-1)/(x^6+x^4+x^2-1) ogf] A352720 6.62559 [(x^8+x^7+2*x^6+x^5+2*x^4+x^3-1)/(x-1)/(x+1)/(x^3+x^2+x-1)/(x^6+x^4+x^2-1) ogf] A352721 10.1085 [-x*(64*x^2+8*x+1)/(10*x-1)/(100*x^2+10*x+1) ogf] A352721 11.3338 [-x*(64*x^2+8*x+1)/(10*x-1)/(100*x^2+10*x+1) ogf] A352721 8.22014 [{a(n+4)-1000*a(n+1),a(0)=0,a(1)=1,a(2)=8,a(3)=64} ogf] A352721 9.97376 [f(x)*(1000*f(x)*x^3+64*x^3+8*x^2-f(x)+x) ogf] A352737 10.3081 [2*(x^3-2*x^2-x+1)/(2*x-1)/(x+1)/(2*x^2-1) ogf] A352737 11.4378 [2*(x^3-2*x^2-x+1)/(x+1)/(2*x-1)/(2*x^2-1) ogf] A352737 5.88 [-(f(x)+15)*(4*f(x)*x^4+2*f(x)*x^3-4*f(x)*x^2-2*x^3-f(x)*x+4*x^2+f(x)+2*x-2) ogf] A352737 6.27789 [{-a(n+4)+a(n+3)+4*a(n+2)-2*a(n+1)-4*a(n),a(0)=2,a(1)=0,a(2)=4,a(3)=2} ogf] A352745 3.49767 [{a(n+7)-2*a(n+5)+a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=2,a(4)=2,a(5)=3,a(6)=4} ogf] A352745 4.77566 [-(-2*x^7+6*x^5+2*x^3+3*x^2+2*x+1)/(x^8-2*x^4+x^3+2*x^2-x-1) lgdogf] A352745 7.1981 [(x^6+x^4-x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A352745 8.14212 [(x^6+x^4-x^2+x+1)/(x-1)^2/(x+1)^2 ogf] A352748 2.42414 [(x^13+2*x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+3*x^3+3*x^2+3*x+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A352748 2.5092 [(x^13+2*x^12+x^11+2*x^10+x^9+2*x^8+x^7+2*x^6+x^5+2*x^4+3*x^3+3*x^2+3*x+2)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A352755 5.1637 [(x+1)*(91*x^8+200158*x^7+13200112*x^6+136997314*x^5+326261290*x^4+136997314*x^3+13200112*x^2+200158*x+91)/(x-1)^10 ogf] A352756 11.7209 [-(4*x^3+74*x^2+164*x+46)/(4*x^4+27*x^3+3*x^2-31*x-3) lgdogf] A352756 19.7647 [(4*x^3+31*x^2+34*x+3)/(x-1)^4 ogf] A352756 23.4419 [(4*x^3+31*x^2+34*x+3)/(x-1)^4 ogf] A352756 6.85715 [(6444*f(x)+157111)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-4*x^3-4*f(x)*x-31*x^2+f(x)-34*x-3) ogf] A352756 7.25181 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=3,a(1)=46,a(2)=197,a(3)=528} ogf] A352757 14.548 [-(5*x^4+123*x^3+321*x^2+121*x+6)/(x-1)^5 ogf] A352757 16.5206 [-(5*x^4+123*x^3+321*x^2+121*x+6)/(x-1)^5 ogf] A352757 5.47594 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=6,a(1)=151,a(2)=1016,a(3)=3753,a(4)=10090} ogf] A352757 8.55015 [-(5*x^4+266*x^3+1332*x^2+1126*x+151)/(5*x^5+118*x^4+198*x^3-200*x^2-115*x-6) lgdogf] A352758 14.548 [-(6*x^4+121*x^3+321*x^2+123*x+5)/(x-1)^5 ogf] A352758 16.5206 [-(6*x^4+121*x^3+321*x^2+123*x+5)/(x-1)^5 ogf] A352758 5.47594 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=5,a(1)=148,a(2)=1011,a(3)=3746,a(4)=10081} ogf] A352758 8.55015 [-(6*x^4+266*x^3+1326*x^2+1134*x+148)/(6*x^5+115*x^4+200*x^3-198*x^2-118*x-5) lgdogf] A352759 5.81051 [189*(x+1)*(x^8+18970*x^7+1674640*x^6+19258054*x^5+47676190*x^4+19258054*x^3+1674640*x^2+18970*x+1)/(x-1)^10 ogf] A352779 17.0397 [{-a(n+1)-3*a(n),a(0)=1} ogf] A352779 18.2865 [3*f(x)*x+f(x)-1 ogf] A352779 26.7766 [-3/(3*x+1) lgdogf] A352779 35.7022 [1/(3*x+1) ogf] A352779 57.6728 [1/(3*x+1) ogf] A352789 11.6845 [-(30*x^4+24*x^2+1)/(6*x^5+8*x^3+x-1) lgdogf] A352789 19.6955 [-1/(2*x^5+8*x^3+x-1) ogf] A352789 24.4702 [-1/(2*x^5+8*x^3+x-1) ogf] A352789 6.25982 [{-a(n+5)+a(n+4)+8*a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=9,a(4)=17} ogf] A352795 11.3218 [-1/(x+1)/(2*x^6+2*x^4+2*x^3-2*x^2+2*x-1) ogf] A352795 12.8067 [-1/(x+1)/(2*x^6+2*x^4+2*x^3-2*x^2+2*x-1) ogf] A352795 7.51161 [-(14*x^6+12*x^5+10*x^4+16*x^3+1)/(2*x^7+2*x^6+2*x^5+4*x^4+x-1) lgdogf] A352847 15.6745 [-(16*x+12)/(4*x^2-1) lgdogf] A352847 17.1673 [-48*x^2*(2*x+1)/(2*x-1)^5 ogf] A352847 21.2067 [-48*x^2*(2*x+1)/(2*x-1)^5 ogf] A352847 4.16779 [{a(n+5)-10*a(n+4)+40*a(n+3)-80*a(n+2)+80*a(n+1)-32*a(n),a(0)=0,a(1)=0,a(2)=48,a(3)=576,a(4)=3840} ogf] A352867 8.30296 [2*(3*x^5-11*x^4+15*x^3-9*x^2+3*x+1)/(2*x^6-8*x^5+12*x^4-9*x^3+3*x^2-x+1) lgdogf] A352873 10.8121 [-(x+1)*(x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A352873 6.12154 [{-a(n+5)+a(n+4)+a(n+2)-a(n+1),a(0)=1,a(1)=3,a(2)=5,a(3)=6,a(4)=7} ogf] A352873 6.88041 [(16*f(x)+47)*(f(x)*x^4-f(x)*x^3+x^4-f(x)*x-2*x^2+f(x)-2*x-1) ogf] A352873 7.43329 [-(x^5-3*x^4-4*x^3-8*x^2-7*x-3)/(x^7-2*x^5-3*x^4-x^3+2*x^2+2*x+1) lgdogf] A352873 9.79446 [-(x+1)*(x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A352918 3.92391 [(2*f(x)*x-f(x)+2*x+1)^3 ogf] A352994 10.3846 [-(96*x^2+304*x+64)/(24*x^3+44*x^2-22*x-3) lgdogf] A352994 14.179 [24*x^2*(12*x^2+28*x+3)/(2*x-1)^6 ogf] A352994 16.757 [24*x^2*(12*x^2+28*x+3)/(2*x-1)^6 ogf] A353029 11.3973 [-16*x^2*(2*x+1)*(4*x^2+56*x+1)/(2*x-1)^7 ogf] A353029 13.0551 [-16*x^2*(2*x+1)*(4*x^2+56*x+1)/(2*x-1)^7 ogf] A353029 8.65093 [-(64*x^3+1184*x^2+928*x+72)/(16*x^4+224*x^3-56*x-1) lgdogf] A353047 11.5784 [-(30*x^2-35*x+9)/(6*x^3-11*x^2+6*x-1) lgdogf] A353047 15.515 [-12/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A353047 18.4702 [-12/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A353047 4.30972 [{a(n+5)-9*a(n+4)+31*a(n+3)-51*a(n+2)+40*a(n+1)-12*a(n),a(0)=12,a(1)=108,a(2)=600,a(3)=2664,a(4)=10404} ogf] A353094 11.5157 [-(18*x^2-21*x+7)/(9*x^3-18*x^2+11*x-2) lgdogf] A353094 17.4015 [(3*x-2)/(3*x-1)/(x-1)^2 ogf] A353094 21.164 [(3*x-2)/(3*x-1)/(x-1)^2 ogf] A353094 7.18411 [-(13*f(x)+72)*(3*f(x)*x^3-7*f(x)*x^2+5*f(x)*x-f(x)-3*x+2) ogf] A353094 7.45779 [{a(n+3)-5*a(n+2)+7*a(n+1)-3*a(n),a(0)=2,a(1)=7,a(2)=21} ogf] A353095 10.7603 [-(32*x^2-40*x+14)/(16*x^3-32*x^2+19*x-3) lgdogf] A353095 16.7382 [(4*x-3)/(4*x-1)/(x-1)^2 ogf] A353095 20.3572 [(4*x-3)/(4*x-1)/(x-1)^2 ogf] A353095 6.54971 [-(12743*f(x)+33648)*(4*f(x)*x^3-9*f(x)*x^2+6*f(x)*x-f(x)-4*x+3) ogf] A353095 7.10582 [{a(n+3)-6*a(n+2)+9*a(n+1)-4*a(n),a(0)=3,a(1)=14,a(2)=57} ogf] A353096 10.3023 [-(50*x^2-65*x+23)/(25*x^3-50*x^2+29*x-4) lgdogf] A353096 16.0259 [(5*x-4)/(5*x-1)/(x-1)^2 ogf] A353096 19.4909 [(5*x-4)/(5*x-1)/(x-1)^2 ogf] A353096 6.16379 [-(74707*f(x)+201875)*(5*f(x)*x^3-11*f(x)*x^2+7*f(x)*x-f(x)-5*x+4) ogf] A353096 6.67744 [{a(n+3)-7*a(n+2)+11*a(n+1)-5*a(n),a(0)=4,a(1)=23,a(2)=117} ogf] A353097 10.2446 [-(72*x^2-96*x+34)/(36*x^3-72*x^2+41*x-5) lgdogf] A353097 15.936 [(6*x-5)/(6*x-1)/(x-1)^2 ogf] A353097 19.3817 [(6*x-5)/(6*x-1)/(x-1)^2 ogf] A353097 6.02623 [-(925655*f(x)+2794644)*(6*f(x)*x^3-13*f(x)*x^2+8*f(x)*x-f(x)-6*x+5) ogf] A353097 6.64002 [{a(n+3)-8*a(n+2)+13*a(n+1)-6*a(n),a(0)=5,a(1)=34,a(2)=207} ogf] A353098 15.4932 [(7*x-6)/(7*x-1)/(x-1)^2 ogf] A353098 18.8431 [(7*x-6)/(7*x-1)/(x-1)^2 ogf] A353098 5.95894 [-(87029*f(x)+297234)*(7*f(x)*x^3-15*f(x)*x^2+9*f(x)*x-f(x)-7*x+6) ogf] A353098 6.45552 [{a(n+3)-9*a(n+2)+15*a(n+1)-7*a(n),a(0)=6,a(1)=47,a(2)=333} ogf] A353098 9.81965 [-(98*x^2-133*x+47)/(49*x^3-98*x^2+55*x-6) lgdogf] A353099 14.8455 [(8*x-7)/(8*x-1)/(x-1)^2 ogf] A353099 18.0554 [(8*x-7)/(8*x-1)/(x-1)^2 ogf] A353099 5.43129 [-(13674287*f(x)+52612288)*(8*f(x)*x^3-17*f(x)*x^2+10*f(x)*x-f(x)-8*x+7) ogf] A353099 6.12888 [{a(n+3)-10*a(n+2)+17*a(n+1)-8*a(n),a(0)=7,a(1)=62,a(2)=501} ogf] A353099 9.15134 [-(128*x^2-176*x+62)/(64*x^3-128*x^2+71*x-7) lgdogf] A353100 15.5112 [(9*x-8)/(9*x-1)/(x-1)^2 ogf] A353100 18.865 [(9*x-8)/(9*x-1)/(x-1)^2 ogf] A353100 5.67484 [-(19733899*f(x)+84843369)*(9*f(x)*x^3-19*f(x)*x^2+11*f(x)*x-f(x)-9*x+8) ogf] A353100 6.40372 [{a(n+3)-11*a(n+2)+19*a(n+1)-9*a(n),a(0)=8,a(1)=79,a(2)=717} ogf] A353100 9.56171 [-(162*x^2-225*x+79)/(81*x^3-162*x^2+89*x-8) lgdogf] A353133 5.07231 [1/2*I*(-2*(x+1)^(5/2)*x+(x+1)^(5/2)+I*(3*x-1)^(1/2)*x^2+2*I*(3*x-1)^(1/2)*x+I*(3*x-1)^(1/2))/(3*x-1)^(1/2)/x^3 ogf] A353133 6.22347 [3*f(x)^2*x^4-f(x)^2*x^3+3*f(x)*x^3+x^4+5*f(x)*x^2+4*x^3+f(x)*x+6*x^2-f(x)+4*x+1 ogf] A353180 6.09108 [-72*(x^7-57657600)/(3*x^11-11440*x^9+72*x^8-72*x^7-172972800*x^4-4151347200*x+4151347200) egf] A353180 6.51853 [-72*(x^7-57657600)/(3*x^11-11440*x^9+72*x^8-72*x^7-172972800*x^4-4151347200*x+4151347200) egf] A353182 6.93875 [-360*f(x)^2*x^4+36*f(x)^2*x^3+10*f(x)^2*x^2-f(x)^2*x-324*f(x)*x^2+9*f(x)-81 ogf] A353183 6.10278 [9/2*(2*I*x+((6*x-1)*(6*x+1))^(1/2)-I)/((6*x-1)*(6*x+1))^(1/2)/x/(x-1)/(10*x-1) ogf] A353204 3.52207 [I*(Pi*x-Pi+I*ln(x-1)*x+I*ln(x+1)*x-2*I*x^2-I*ln(x-1)-I*ln(x+1))/(x-1)/x^2 lgdegf] A353207 4.39114 [-(440587*f(x)+213821)*(16*f(x)*x^4-50*f(x)*x^3+46*f(x)*x^2+2*x^3-13*f(x)*x-22*x^2+f(x)+7*x-1) ogf] A353207 4.85828 [{a(n+4)-13*a(n+3)+46*a(n+2)-50*a(n+1)+16*a(n),a(0)=1,a(1)=6,a(2)=54,a(3)=474} ogf] A353207 7.96532 [-(2*x^3-22*x^2+7*x-1)/(x-1)/(8*x-1)/(2*x^2-4*x+1) ogf] A353207 8.78228 [-(2*x^3-22*x^2+7*x-1)/(x-1)/(8*x-1)/(2*x^2-4*x+1) ogf] A353230 4.11097 [{-a(n+3)*n+17*a(n+2)*n-72*a(n+1)*n-3*a(n+3)+47*a(n+2)-180*a(n+1),a(0)=0,a(1)=6,a(2)=90} ogf] A353230 5.3503 [-648*f(x)^2*x^3+225*f(x)^2*x^2-26*f(x)^2*x+216*f(x)*x^2+f(x)^2-51*f(x)*x+3*f(x)-18*x ogf] A353230 9.96768 [3/2*((-8*x+1)^(1/2)-1)/(-8*x+1)^(1/2)/(9*x-1) ogf] A353232 14.0436 [-x*(2*x^3-7*x^2+6*x-2)/(x-1)^6 ogf] A353232 16.3365 [-x*(2*x^3-7*x^2+6*x-2)/(x-1)^6 ogf] A353232 4.02255 [{a(n+6)-6*a(n+5)+15*a(n+4)-20*a(n+3)+15*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=6,a(3)=13,a(4)=26,a(5)=51} ogf] A353232 9.64442 [-(6*x^3-22*x^2+16*x-6)/(2*x^4-9*x^3+13*x^2-8*x+2) lgdogf] A353313 14.3055 [x*(x^3+x^2+5*x+4)/(x-1)^2/(x^2+x+1)^2 ogf] A353313 16.0661 [x*(x^3+x^2+5*x+4)/(x-1)^2/(x^2+x+1)^2 ogf] A353313 8.55982 [{a(n+6)-2*a(n+3)+a(n),a(0)=0,a(1)=4,a(2)=5,a(3)=1,a(4)=9,a(5)=10} ogf] A353313 9.16053 [-(3*x^5+4*x^4+25*x^3+27*x^2+2*x+5)/(x^6+x^5+5*x^4+3*x^3-x^2-5*x-4) lgdogf] A353314 14.4428 [x*(x^3+3*x^2+5*x+4)/(x-1)^2/(x^2+x+1)^2 ogf] A353314 16.2204 [x*(x^3+3*x^2+5*x+4)/(x-1)^2/(x^2+x+1)^2 ogf] A353314 8.642 [{a(n+6)-2*a(n+3)+a(n),a(0)=0,a(1)=4,a(2)=5,a(3)=3,a(4)=9,a(5)=10} ogf] A353314 9.16800 [-(3*x^5+12*x^4+25*x^3+27*x^2+6*x+5)/(x^6+3*x^5+5*x^4+3*x^3-3*x^2-5*x-4) lgdogf] A353322 4.10184 [-x^2*(2*x^21+2*x^20+8*x^17+8*x^15-2*x^13-2*x^12+8*x^11+3*x^8+x^6+2*x^5+2*x^4+2*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A353322 4.28829 [-x^2*(2*x^21+2*x^20+8*x^17+8*x^15-2*x^13-2*x^12+8*x^11+3*x^8+x^6+2*x^5+2*x^4+2*x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A353327 11.5713 [-x*(x+1)*(x^3-3)/(x-1)^2/(x^2+x+1)^2 ogf] A353327 12.9129 [-x*(x+1)*(x^3-3)/(x-1)^2/(x^2+x+1)^2 ogf] A353327 7.42492 [{-a(n+6)+2*a(n+3)-a(n),a(0)=0,a(1)=3,a(2)=3,a(3)=0,a(4)=5,a(5)=5} ogf] A353327 8.73521 [-(2*x^6+3*x^5-11*x^3-15*x^2-3)/(x^7+x^6-4*x^4-4*x^3+3*x+3) lgdogf] A353344 10.9123 [-3*(I*Pi-ln(x-1))^2/(x-1) lgdegf] A353344 7.66183 [(6*I*Pi*ln(x-1)-3*ln(x-1)^2+3*Pi^2)/(x-1) lgdegf] A353384 6.95503 [-(20*x^8+20*x^7+20*x^6+10*x^5-x^4-5*x^3-4*x^2-2*x-1)/(2*x^2-1)/(2*x^2+1)/(5*x^4-1) ogf] A353384 7.40015 [-(20*x^8+20*x^7+20*x^6+10*x^5-x^4-5*x^3-4*x^2-2*x-1)/(2*x^2-1)/(2*x^2+1)/(5*x^4-1) ogf] A353410 5.08705 [-(2*f(x)+1)*(9*f(x)*x^4-84*f(x)*x^3+126*f(x)*x^2+84*x^3-36*f(x)*x-252*x^2+f(x)+108*x-4) ogf] A353410 5.22643 [{-a(n+4)+36*a(n+3)-126*a(n+2)+84*a(n+1)-9*a(n),a(0)=4,a(1)=36,a(2)=1044,a(3)=33300} ogf] A353410 8.87277 [-4*(21*x^3-63*x^2+27*x-1)/(3*x-1)/(3*x^3-27*x^2+33*x-1) ogf] A353410 9.7828 [-4*(21*x^3-63*x^2+27*x-1)/(3*x-1)/(3*x^3-27*x^2+33*x-1) ogf] A353411 5.08998 [-2*(143*x^5-1287*x^4+2574*x^3-1430*x^2+195*x-3)/(13*x^6-286*x^5+1287*x^4-1716*x^3+715*x^2-78*x+1) ogf] A353411 5.41315 [-2*(143*x^5-1287*x^4+2574*x^3-1430*x^2+195*x-3)/(13*x^6-286*x^5+1287*x^4-1716*x^3+715*x^2-78*x+1) ogf] A353437 4.95958 [-(x^26-x^24+2*x^23+x^22-3*x^21+2*x^20-2*x^19+x^18-x^17+x^16-x^15+x^14-x^12+x^11+x^8+x^7-3*x^6+4*x^2-4*x-1)/(x-1)^2 ogf] A353437 5.17175 [-(x^26-x^24+2*x^23+x^22-3*x^21+2*x^20-2*x^19+x^18-x^17+x^16-x^15+x^14-x^12+x^11+x^8+x^7-3*x^6+4*x^2-4*x-1)/(x-1)^2 ogf] A353465 7.44722 [2*x*(2*x^8-x^7-x^6+2*x^5-x^4+2*x^2-3*x+2)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A353465 7.89518 [2*x*(2*x^8-x^7-x^6+2*x^5-x^4+2*x^2-3*x+2)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A353466 7.27501 [2*(x^9-2*x^7+3*x^6-2*x^5+x^4+x^3-2*x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A353466 7.69983 [2*(x^9-2*x^7+3*x^6-2*x^5+x^4+x^3-2*x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)^2 ogf] A353487 4.9149 [-(3*x^13+x^12-x^10-3*x^9+3*x^7+x^6-x^4-3*x^3+3*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) ogf] A353487 5.11551 [-(3*x^13+x^12-x^10-3*x^9+3*x^7+x^6-x^4-3*x^3+3*x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) ogf] A353488 3.27636 [-(x^24-x^20+x^12-x^8+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^16+x^14-x^10-x^8-x^6+x^2+1) ogf] A353488 3.41653 [-(x^24-x^20+x^12-x^8+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^16+x^14-x^10-x^8-x^6+x^2+1) ogf] A353489 3.14021 [-x^2*(x^24-x^16+x^12-x^4+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^16+x^14-x^10-x^8-x^6+x^2+1) ogf] A353489 3.27173 [-x^2*(x^24-x^16+x^12-x^4+1)/(x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^16+x^14-x^10-x^8-x^6+x^2+1) ogf] A353516 3.85631 [-(x+1)*(2*x^26-x^25+x^24-x^19-x^18+2*x^14-x^13+x^12-x^7-x^6+2*x^2-x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^16+x^14-x^10-x^8-x^6+x^2+1) ogf] A353516 3.97873 [-(x+1)*(2*x^26-x^25+x^24-x^19-x^18+2*x^14-x^13+x^12-x^7-x^6+2*x^2-x+1)/(x-1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x^16+x^14-x^10-x^8-x^6+x^2+1) ogf] A353517 4.37834 [-(2*x^14+x^13+x^12-3*x^10-x^9+2*x^8+x^7+x^6-3*x^4-x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) ogf] A353517 4.53683 [-(2*x^14+x^13+x^12-3*x^10-x^9+2*x^8+x^7+x^6-3*x^4-x^3+2*x^2+x+1)/(x-1)/(x+1)/(x^4-x^3+x^2-x+1)/(x^8+x^7-x^5-x^4-x^3+x+1) ogf] A353530 11.9099 [6*(x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A353530 13.0862 [6*(x^4+x^3+x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A353530 8.03017 [{a(n+5)-a(n+4)-a(n+1)+a(n),a(0)=6,a(1)=12,a(2)=18,a(3)=24,a(4)=36} ogf] A353531 5.95273 [2*(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A353531 6.1982 [2*(x^2+x+1)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A353546 3.06952 [{-2*a(n+3)*n+4*a(n+2)*n-2*a(n+1)*n+a(n+4)-8*a(n+3)+11*a(n+2)-4*a(n+1),a(0)=0,a(1)=1,a(2)=4,a(3)=17} ogf] A353546 9.03061 [1/2*I*exp(x)*(Pi+I*ln(2*x-1)) egf] A353547 3.07434 [{-3*a(n+3)*n+6*a(n+2)*n-3*a(n+1)*n+a(n+4)-11*a(n+3)+16*a(n+2)-6*a(n+1),a(0)=0,a(1)=1,a(2)=5,a(3)=30} ogf] A353547 9.08936 [1/3*I*(Pi+I*ln(3*x-1))*exp(x) egf] A353548 2.90454 [{-4*a(n+3)*n+8*a(n+2)*n-4*a(n+1)*n+a(n+4)-14*a(n+3)+21*a(n+2)-8*a(n+1),a(0)=0,a(1)=1,a(2)=6,a(3)=47} ogf] A353548 8.58734 [1/4*I*(Pi+I*ln(4*x-1))*exp(x) egf] A353549 3.01696 [{3*a(n+3)*n-6*a(n+2)*n+3*a(n+1)*n+a(n+4)+7*a(n+3)-14*a(n+2)+6*a(n+1),a(0)=0,a(1)=1,a(2)=-1,a(3)=12} ogf] A353580 10.4895 [-(6*x^3-3*x^2-4*x+3)/(3*x^4+x^3-11*x^2+9*x-2) lgdogf] A353580 13.9287 [-x*(3*x-2)/(x-1)/(x^2+2*x-1) ogf] A353580 16.0312 [-x*(3*x-2)/(x-1)/(x^2+2*x-1) ogf] A353580 7.86714 [(19*f(x)+5)*(f(x)*x^3+f(x)*x^2-3*f(x)*x+3*x^2+f(x)-2*x) ogf] A353580 8.24904 [{a(n+3)-3*a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=3} ogf] A353581 13.643 [x^2*(3*x-2)/(x^2+1)/(x^2+2*x-1) ogf] A353581 15.7023 [x^2*(3*x-2)/(x^2+1)/(x^2+2*x-1) ogf] A353581 7.30018 [{-a(n+4)+2*a(n+3)+2*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=1} ogf] A353581 7.49749 [(3*f(x)+8)*(f(x)*x^4+2*f(x)*x^3-3*x^3+2*f(x)*x+2*x^2-f(x)) ogf] A353581 8.94861 [-(9*x^4+4*x^3-12*x^2-1)/(3*x^5+4*x^4-4*x^3+6*x^2-7*x+2) lgdogf] A353582 11.1286 [-x^2*(3*x-2)/(x-1)/(x^2+1)/(x^2+2*x-1) ogf] A353582 12.4189 [-x^2*(3*x-2)/(x-1)/(x^2+1)/(x^2+2*x-1) ogf] A353582 5.28954 [{-a(n+5)+3*a(n+4)-2*a(n+3)+2*a(n+2)-a(n+1)-a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=3,a(4)=5} ogf] A353582 7.32397 [-(12*x^5-x^4-20*x^3+18*x^2-8*x+3)/(3*x^6+x^5-8*x^4+10*x^3-13*x^2+9*x-2) lgdogf] A353631 6.51065 [-(x^12+3*x^9+x^6+3*x^3+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A353631 6.86739 [-(x^12+3*x^9+x^6+3*x^3+1)/(x-1)/(x^4+x^3+x^2+x+1)/(x^8-x^7+x^5-x^4+x^3-x+1) ogf] A353633 9.21770 [(33*x^32+9*x^8+1)/(x^33+x^9+x+1) lgdogf] A353641 10.4442 [(2*x^18-4*x^17+2*x^15-x^3-2*x^2-1)/(x-1)/(x+1)/(x^2-x+1) ogf] A353641 9.64076 [(2*x^18-4*x^17+2*x^15-x^3-2*x^2-1)/(x-1)/(x+1)/(x^2-x+1) ogf] A353664 12.2538 [3*exp(x)+3*exp(3*x)-6*exp(2*x) lgdegf] A353664 12.2538 [-6*exp(2*x)+3*exp(x)+3*exp(3*x) lgdegf] A353665 9.35666 [12*exp(2*x)-4*exp(x)-12*exp(3*x)+4*exp(4*x) lgdegf] A353680 6.22374 [2*x*(22*x^42+19*x^36+7*x^12+1)/(x^44+x^38+x^14+x^2+1) lgdogf] A353689 25.0051 [(-5+2*x)/(x-1) ogf_with_Euler_transform] A353878 4.13562 [{-a(n+5)+6*a(n+4)+33*a(n+3)+3*a(n+2)-40*a(n+1)+15*a(n),a(0)=1,a(1)=3,a(2)=44,a(3)=369,a(4)=3633} ogf] A353878 7.30064 [(2*x^4-3*x^3+7*x^2+3*x-1)/(3*x+1)/(5*x^2-10*x+1)/(x^2-x-1) ogf] A353878 7.94959 [(2*x^4-3*x^3+7*x^2+3*x-1)/(3*x+1)/(5*x^2-10*x+1)/(x^2-x-1) ogf] A353882 21.6313 [-(f(x)-1)^3 ogf] A353889 4.07238 [-(x-1)*(128*x^16+16*x^12+72*x^11-32*x^10-16*x^9-32*x^8-26*x^7-32*x^6-20*x^5-31*x^4-17*x^3-12*x^2-6*x-3)/(x^4-x^3+x^2-x+1)/(8*x^5-1) ogf] A353889 4.24031 [-(x-1)*(128*x^16+16*x^12+72*x^11-32*x^10-16*x^9-32*x^8-26*x^7-32*x^6-20*x^5-31*x^4-17*x^3-12*x^2-6*x-3)/(x^4-x^3+x^2-x+1)/(8*x^5-1) ogf] A353893 21.6313 [-(f(x)-1)^3 ogf] A353894 7.73786 [-1/2*x*((-x-1)*exp(2*x)-1+exp(x)*(x+2)) lgdegf] A353907 4.28196 [-2/(x-1) lgdogf] A353957 14.0801 [-(112*x-113)/(4*x-1)/(x-1) ogf] A353957 16.5833 [-(112*x-113)/(4*x-1)/(x-1) ogf] A353957 7.77341 [(1361*f(x)+51416)*(4*f(x)*x^2-5*f(x)*x+f(x)+112*x-113) ogf] A353957 9.44616 [-(448*x^2-904*x+453)/(448*x^3-1012*x^2+677*x-113) lgdogf] A353957 9.56728 [{-a(n+2)+5*a(n+1)-4*a(n),a(0)=113,a(1)=453} ogf] A353964 11.9151 [-(6*x^2+10*x+1)/(2*x^3+5*x^2+x-1) lgdogf] A353964 18.8897 [-1/(2*x^3+5*x^2+x-1) ogf] A353964 23.469 [-1/(2*x^3+5*x^2+x-1) ogf] A353964 7.4469 [(1901*f(x)+284)*(2*f(x)*x^3+5*f(x)*x^2+f(x)*x-f(x)+1) ogf] A353964 7.4469 [{a(n+3)-a(n+2)-5*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=6} ogf] A353965 11.8356 [-(x-1)^2/(1+2*x)/(x^3-x^2+5*x-1) ogf] A353965 13.4967 [-(x-1)^2/(2*x+1)/(x^3-x^2+5*x-1) ogf] A353965 5.53461 [-(8087*f(x)+1842)*(2*f(x)*x^4-f(x)*x^3+9*f(x)*x^2+3*f(x)*x+x^2-f(x)-2*x+1) ogf] A353965 5.6567 [{-a(n+4)+3*a(n+3)+9*a(n+2)-a(n+1)+2*a(n),a(0)=1,a(1)=1,a(2)=13,a(3)=47} ogf] A353965 7.85012 [-(4*x^4-9*x^3+3*x^2-21*x-1)/(2*x^5-3*x^4+10*x^3-6*x^2-4*x+1) lgdogf] A353974 6.16787 [x*(9*x^8+x^7+4*x^6+9*x^5+7*x^4+7*x^3+9*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A353974 6.55037 [x*(9*x^8+x^7+4*x^6+9*x^5+7*x^4+7*x^3+9*x^2+4*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A354008 10.4673 [-(x^6+x^5-2*x^4-4*x^3+4*x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A354008 11.5011 [-(x^6+x^5-2*x^4-4*x^3+4*x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A354008 5.75055 [{-a(n+7)+3*a(n+5)-3*a(n+3)+a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=5,a(4)=16,a(5)=7,a(6)=29} ogf] A354011 3.95164 [{-a(n+6)+2*a(n+5)+9*a(n+4)-8*a(n+3)+3*a(n+2)+6*a(n+1)-3*a(n),a(0)=1,a(1)=0,a(2)=7,a(3)=8,a(4)=81,a(5)=184} ogf] A354011 7.66853 [-(x^4-2*x^3+2*x^2+2*x-1)/(3*x^6-6*x^5-3*x^4+8*x^3-9*x^2-2*x+1) ogf] A354011 8.32819 [-(x^4-2*x^3+2*x^2+2*x-1)/(3*x^6-6*x^5-3*x^4+8*x^3-9*x^2-2*x+1) ogf] A354012 4.19221 [-(2*x^8-2*x^7-4*x^6+34*x^5-32*x^4-37*x^3+16*x^2+4*x-1)/(32*x^10-70*x^9+36*x^8+57*x^7-78*x^6-194*x^5+142*x^4+69*x^3-28*x^2-5*x+1) ogf] A354012 4.38607 [-(2*x^8-2*x^7-4*x^6+34*x^5-32*x^4-37*x^3+16*x^2+4*x-1)/(32*x^10-70*x^9+36*x^8+57*x^7-78*x^6-194*x^5+142*x^4+69*x^3-28*x^2-5*x+1) ogf] A354019 16.1944 [6/(324*x^2+1)^(1/2) lgdogf] A354019 3.29084 [{-a(n+3)*n^2-324*a(n+1)*n^2-5*a(n+3)*n-648*a(n+1)*n-6*a(n+3)-288*a(n+1),a(0)=1,a(1)=6,a(2)=18} ogf] A354044 11.1487 [-(2*x^3-3*x^2-7*x-5)/(x^4-4*x^2-x+2) lgdogf] A354044 13.1592 [-x*(x+1)*(x-2)/(x^2+x-1)^2 ogf] A354044 15.1454 [-x*(x+1)*(x-2)/(x^2+x-1)^2 ogf] A354044 5.69297 [-(734*f(x)+517)*(f(x)*x^4+2*f(x)*x^3-f(x)*x^2+x^3-2*f(x)*x-x^2+f(x)-2*x) ogf] A354044 5.99036 [{-a(n+4)+2*a(n+3)+a(n+2)-2*a(n+1)-a(n),a(0)=0,a(1)=2,a(2)=5,a(3)=11} ogf] A354074 13.2695 [-(x^3-3*x^2+3*x+1)/(x-1)^3 egf] A354074 13.5247 [-6/(x^4-4*x^3+6*x^2-2*x-1) lgdegf] A354074 15.6285 [-(x^3-3*x^2+3*x+1)/(x-1)^3 egf] A354074 3.95104 [{-3*a(n)*n^2-a(n+1)*n^2-9*a(n)*n+a(n+2)*n-3*a(n+1)*n+2*a(n+2)-8*a(n+1),a(0)=1,a(1)=6} ogf] A354074 7.25036 [-f(x)*x^3+3*f(x)*x^2-x^3-3*f(x)*x+3*x^2+f(x)-3*x-1 egf] A354080 11.6626 [-(3*x+1)/(x^3+x^2+x-1) ogf] A354080 13.7359 [-(3*x+1)/(x^3+x^2+x-1) ogf] A354080 5.56863 [-(196*f(x)+899)*(f(x)*x^3+f(x)*x^2+f(x)*x-f(x)+3*x+1) ogf] A354080 5.94344 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=5} ogf] A354080 7.72648 [-(6*x^3+6*x^2+2*x+4)/(3*x^4+4*x^3+4*x^2-2*x-1) lgdogf] A354113 8.77576 [-(10*x^21-10*x^20+80*x^11-80*x^10+x^3-2*x^2+10*x-10)/(x-1)^2 ogf] A354113 9.58273 [-(10*x^21-10*x^20+80*x^11-80*x^10+x^3-2*x^2+10*x-10)/(x-1)^2 ogf] A354114 8.96449 [-(x^13+8*x^12+71*x^11-80*x^10+x^3-2*x^2+10*x-10)/(x-1)^2 ogf] A354114 9.80821 [-(x^13+8*x^12+71*x^11-80*x^10+x^3-2*x^2+10*x-10)/(x-1)^2 ogf] A354131 11.2908 [-(6*x^2-12*x-2)/(6*x^3-3*x^2-4*x+1) lgdogf] A354131 17.9001 [(x-1)/(6*x^2+3*x-1) ogf] A354131 22.2395 [(x-1)/(6*x^2+3*x-1) ogf] A354131 8.43567 [(21*f(x)-19)*(6*f(x)*x^2+3*f(x)*x-f(x)-x+1) ogf] A354131 9.91762 [{-a(n+2)+3*a(n+1)+6*a(n),a(0)=1,a(1)=2} ogf] A354132 3.78552 [{-a(n+6)+6*a(n+5)+38*a(n+4)-68*a(n+2)+24*a(n+1)-3*a(n),a(0)=1,a(1)=3,a(2)=48,a(3)=405,a(4)=4185,a(5)=40320} ogf] A354132 7.45274 [-(x^4-3*x^3+8*x^2+3*x-1)/(3*x^6-24*x^5+68*x^4-38*x^2-6*x+1) ogf] A354132 8.13026 [-(x^4-3*x^3+8*x^2+3*x-1)/(3*x^6-24*x^5+68*x^4-38*x^2-6*x+1) ogf] A354136 13.1568 [1/2/(x+1)*ln(x+1)^2 lgdegf] A354228 3.7711 [-(-14348608+44215677*f(x))*(112*f(x)*x^4-88*f(x)*x^3-56*x^4-22*f(x)*x^2+44*x^3+13*f(x)*x+2*x^2-f(x)-7*x+1) ogf] A354228 3.88537 [{-a(n+5)+13*a(n+4)-22*a(n+3)-88*a(n+2)+112*a(n+1),a(0)=1,a(1)=6,a(2)=58,a(3)=578,a(4)=5766} ogf] A354228 7.72394 [(14*x^2+3*x-1)*(2*x-1)^2/(112*x^4-88*x^3-22*x^2+13*x-1) ogf] A354228 8.54782 [(14*x^2+3*x-1)*(-1+2*x)^2/(112*x^4-88*x^3-22*x^2+13*x-1) ogf] A354231 14.4029 [3/(x+1)*ln(x+1)^2 lgdegf] A354269 13.0378 [(2*f(x)-3)*(3*f(x)*x-f(x)+1)^2 ogf] A354280 11.6569 [-(3*x^4-2*x^2-12*x-1)/(x^5-2*x^3-2*x^2+x+2) lgdogf] A354280 16.565 [x^2*(x^3-x-2)/(x-1)^3/(x+1)^3 ogf] A354280 19.2695 [x^2*(x^3-x-2)/(x-1)^3/(x+1)^3 ogf] A354280 6.84207 [{a(n+6)-3*a(n+4)+3*a(n+2)-a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=1,a(4)=6,a(5)=2} ogf] A354294 12.9086 [(2*x^3-x^2-x+1)/(2*x-1)/(2*x^2-1) ogf] A354294 14.7204 [(2*x^3-x^2-x+1)/(-1+2*x)/(2*x^2-1) ogf] A354294 6.76663 [{a(n+4)-2*a(n+3)-2*a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A354294 7.05094 [(1+2*f(x))*(4*f(x)*x^3-2*f(x)*x^2-2*x^3-2*f(x)*x+x^2+f(x)+x-1) ogf] A354294 9.42767 [-(6*x^2-2*x-1)/(8*x^6-8*x^5-6*x^4+10*x^3-x^2-3*x+1) lgdogf] A354309 5.28179 [1/2*I*(2*I*ln(2*x-1)*x-I*ln(2*x-1)+2*I*x+2*Pi*x-Pi)/(2*x-1) lgdegf] A354309 8.50238 [1/2*I*Pi-1/2-1/2/(2*x-1)-1/2*ln(2*x-1) lgdegf] A354310 5.21984 [1/3*I*(3*I*ln(3*x-1)*x-I*ln(3*x-1)+3*I*x+3*Pi*x-Pi)/(3*x-1) lgdegf] A354310 8.40266 [-1/3+1/3*I*Pi-1/3/(3*x-1)-1/3*ln(3*x-1) lgdegf] A354311 11.4151 [-1/2+exp(2*x)*x+1/2*exp(2*x) lgdegf] A354311 11.4152 [-1/2*exp(2*x)*(exp(-2*x)-1-2*x) lgdegf] A354312 11.1084 [-1/3*exp(3*x)*(exp(-3*x)-3*x-1) lgdegf] A354312 11.1084 [-1/3+exp(3*x)*x+1/3*exp(3*x) lgdegf] A354317 13.8095 [-1/(x+1)*ln(x+1) lgdegf] A354319 5.65774 [1/4*(2*I*Pi*x-2*ln(2*x-1)*x-I*Pi+ln(2*x-1)-2*x)/(2*x-1) lgdegf] A354319 8.27961 [-1/4+1/4*I*Pi-1/4/(2*x-1)-1/4*ln(2*x-1) lgdegf] A354320 4.81817 [1/8*I*(4*I*ln(4*x-1)*x-I*ln(4*x-1)+4*I*x+4*Pi*x-Pi)/(4*x-1) lgdegf] A354320 7.75609 [-1/8+1/8*I*Pi-1/8/(4*x-1)-1/8*ln(4*x-1) lgdegf] A354323 11.5701 [-1/4*exp(2*x)*(exp(-2*x)-1-2*x) lgdegf] A354323 13.2230 [-1/4+1/4*exp(2*x)*(1+2*x) lgdegf] A354324 10.9635 [-1/8*exp(4*x)*(exp(-4*x)-4*x-1) lgdegf] A354324 12.5298 [-1/8+1/8*exp(4*x)*(1+4*x) lgdegf] A354336 11.5166 [(19*x^2-3*x-1)/(x-1)/(x^2-7*x+1) ogf] A354336 13.2228 [(19*x^2-3*x-1)/(x-1)/(x^2-7*x+1) ogf] A354336 6.10283 [(930*f(x)+2129)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-19*x^2-f(x)+3*x+1) ogf] A354336 6.67318 [-(19*x^4-6*x^3-131*x^2+54*x-11)/(19*x^5-155*x^4+175*x^3-35*x^2-5*x+1) lgdogf] A354336 6.73614 [{a(n+3)-8*a(n+2)+8*a(n+1)-a(n),a(0)=1,a(1)=11,a(2)=61} ogf] A354337 11.7852 [(x^2+3*x-19)/(x-1)/(x^2-7*x+1) ogf] A354337 13.5312 [(x^2+3*x-19)/(x-1)/(x^2-7*x+1) ogf] A354337 5.84548 [-(311010*f(x)+13763)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x-x^2-f(x)-3*x+19) ogf] A354337 6.64259 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=19,a(1)=149,a(2)=1039} ogf] A354337 6.82883 [-(x^4+6*x^3-89*x^2+306*x-149)/(x^5-5*x^4-35*x^3+175*x^2-155*x+19) lgdogf] A354343 15.3516 [-(x^4-3*x^3+4*x^2+3*x+1)/(x-1)^3 ogf] A354343 17.6688 [-(x^4-3*x^3+4*x^2+3*x+1)/(x-1)^3 ogf] A354343 6.73701 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=6,a(2)=19,a(3)=37,a(4)=61} ogf] A354343 6.93663 [-(50*f(x)+2049)*(f(x)*x^3+x^4-3*f(x)*x^2-3*x^3+3*f(x)*x+4*x^2-f(x)+3*x+1) ogf] A354343 9.65406 [-(-x^4+4*x^3-5*x^2+14*x+6)/(x^5-4*x^4+7*x^3-x^2-2*x-1) lgdogf] A354354 10.2144 [-(2*x^9+6*x^5+4*x^3)/(x^10+x^6-x^4-1) lgdogf] A354354 7.8651 [{a(n+6)-a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A354354 8.10835 [-x*(x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A354354 8.83719 [-x*(x^4+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf] A354383 10.3854 [{a(n+2)-a(n+1)-a(n),a(0)=11,a(1)=26} ogf] A354383 11.2755 [-(15*x^2+22*x+26)/(15*x^3+26*x^2-4*x-11) lgdogf] A354383 16.7933 [-(15*x+11)/(x^2+x-1) ogf] A354383 20.2381 [-(15*x+11)/(x^2+x-1) ogf] A354383 8.8684 [(12*f(x)+37)*(f(x)*x^2+f(x)*x-f(x)+15*x+11) ogf] A354395 16.8437 [-exp(2*x)+exp(x) lgdegf] A354396 10.6763 [-1/2*exp(3*x)+exp(2*x)-1/2*exp(x) lgdegf] A354396 10.6763 [exp(2*x)-1/2*exp(x)-1/2*exp(3*x) lgdegf] A354397 8.33983 [-1/2*exp(2*x)+1/6*exp(x)+1/2*exp(3*x)-1/6*exp(4*x) lgdegf] A354398 6.49628 [1/6*exp(2*x)-1/24*exp(5*x)-1/24*exp(x)-1/4*exp(3*x)+1/6*exp(4*x) lgdegf] A354419 2.8337 [{4*a(n+3)*n-8*a(n+2)*n+4*a(n+1)*n+a(n+4)+10*a(n+3)-19*a(n+2)+8*a(n+1),a(0)=0,a(1)=1,a(2)=-2,a(3)=23} ogf] A354465 2.13202 [(f(x)-1)^2 ogf] A354487 41.7196 [-1/(x-1) lgdogf] A354529 11.5678 [-(x^5-2*x^4-x^3-x^2+6*x+3)/(x+1)/(x-1)^3 ogf] A354529 12.8355 [-(x^5-2*x^4-x^3-x^2+6*x+3)/(x+1)/(x-1)^3 ogf] A354529 6.12411 [{a(n+6)-2*a(n+5)+2*a(n+3)-a(n+2),a(0)=3,a(1)=12,a(2)=23,a(3)=39,a(4)=55,a(5)=77} ogf] A354538 3.57039 [-(159*f(x)-3227)*(3*f(x)*x^2+6*x^3-4*f(x)*x+x^2+f(x)+x-1) ogf] A354538 3.6705 [{a(n+4)-4*a(n+3)+3*a(n+2),a(0)=1,a(1)=3,a(2)=8,a(3)=17} ogf] A354538 6.04221 [-(6*x^3+x^2+x-1)/(3*x-1)/(x-1) ogf] A354538 6.89023 [-(6*x^3+x^2+x-1)/(3*x-1)/(x-1) ogf] A354538 7.76813 [-(-18*x^4+48*x^3-11*x^2-8*x+3)/(18*x^5-21*x^4+5*x^3-6*x^2+5*x-1) lgdogf] A354540 4.47562 [f(x)^2*x^3+2*f(x)^2*x^2+f(x)*x^3-f(x)^2*x+4*f(x)*x^2-x^3+f(x)*x-x^2-2*f(x)+2*x+2 ogf] A354541 11.213 [-(2*x^4-2*x^3+2*x^2+x+1)/(6*x^3-1) ogf] A354541 12.7868 [-(2*x^4-2*x^3+2*x^2+x+1)/(6*x^3-1) ogf] A354541 7.28846 [{-a(n+5)+6*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=4,a(4)=8} ogf] A354541 8.0093 [(f(x)-1)*(6*f(x)*x^3+2*x^4-2*x^3+2*x^2-f(x)+x+1) ogf] A354545 8.53055 [cos(x)*x+sin(x)+cos(x)-sin(x)*x lgdegf] A354545 8.53057 [cos(x)*x+sin(x)-sin(x)*x+cos(x) lgdegf] A354546 9.24143 [-cos(x)*x-sin(x)+cos(x)-sin(x)*x lgdegf] A354546 9.24145 [-cos(x)*x-sin(x)-sin(x)*x+cos(x) lgdegf] A354550 13.8123 [exp(1/2*x^2)*(x^2+1) lgdegf] A354551 11.7489 [1/2*exp(1/6*x^3)*(x^3+2) lgdegf] A354551 12.5881 [exp(1/6*x^3)*(1/2*x^3+1) lgdegf] A354552 11.6437 [1/6*exp(1/24*x^4)*(x^4+6) lgdegf] A354552 12.4608 [exp(1/24*x^4)*(1/6*x^4+1) lgdegf] A354553 14.6122 [exp(x^3)*(3*x^3+1) lgdegf] A354554 8.37834 [(1849*x^8+5886*x^4+1356)/(217*x^8-894*x^4+1356) lgdegf] A354554 9.36404 [exp(x^4)*(2*x^2-2*x+1)*(2*x^2+2*x+1) lgdegf] A354588 13.5491 [-(2*x^3+2*x^2-x)/(x^2+2*x+1) revogf] A354588 15.6335 [-x*(2*x^2+2*x-1)/(x+1)^2 revogf] A354588 8.55731 [2*f(x)^3*x^2+f(x)^2*x^2+2*f(x)^2*x+2*f(x)*x-f(x)+1 ogf] A354594 10.4269 [-x*(3*x^3+3*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A354594 11.7944 [-x*(3*x^3+3*x^2+5*x+1)/(x+1)^2/(x-1)^3 ogf] A354594 4.36036 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=6,a(3)=11,a(4)=24} ogf] A354594 7.26726 [-(6*x^4+12*x^3+32*x^2+16*x+6)/(3*x^5+3*x^4+2*x^3-2*x^2-5*x-1) lgdogf] A354595 10.6476 [-x*(5*x^3+3*x^2+7*x+1)/(x+1)^2/(x-1)^3 ogf] A354595 12.044 [-x*(5*x^3+3*x^2+7*x+1)/(x+1)^2/(x-1)^3 ogf] A354595 4.45264 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=8,a(3)=13,a(4)=32} ogf] A354595 7.34685 [-(10*x^4+14*x^3+46*x^2+18*x+8)/(5*x^5+3*x^4+2*x^3-2*x^2-7*x-1) lgdogf] A354608 10.0314 [-x*(x^5+89*x^4+338*x^3+254*x^2+37*x+1)/(x-1)^7 ogf] A354608 11.1617 [-x*(x^5+89*x^4+338*x^3+254*x^2+37*x+1)/(x-1)^7 ogf] A354620 7.4713 [-(x^12+8*x^11+8*x^10+4*x^9+4*x^8+7*x^7+9*x^6+8*x^5+6*x^4+4*x^3+3*x^2+2*x+1)/(4*x^7-1) ogf] A354620 7.95332 [-(x^12+8*x^11+8*x^10+4*x^9+4*x^8+7*x^7+9*x^6+8*x^5+6*x^4+4*x^3+3*x^2+2*x+1)/(4*x^7-1) ogf] A354651 4.11666 [-x*(x^15+x^12-2*x^11-x^10-3*x^9-x^7+x^6+x^4-x^2-x-1)/(x^14-x^13+3*x^12+2*x^11+4*x^10+2*x^9+x^8+2*x^3+2*x^2+2*x+1) revogf] A354660 5.42228 [27*f(x)^3*x-4*f(x)^3-27*f(x)^2*x-15*f(x)*x^2-x^3+4*f(x)^2+21*f(x)*x+3*x^2-9*x ogf] A354673 6.16787 [-x*(x^8-x^7+x^6-x^5+2*x^4+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A354673 6.55037 [-x*(x^8-x^7+x^6-x^5+2*x^4+x^2+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^3 ogf] A354690 6.2638 [2*(-10*x^2+3*(-(2*x-1)*(x+1)^2)^(1/2)-2*x-10)/(4*x^2+2*x+7)/(2*x-1) lgdegf] A354690 6.75508 [2*(-10*x^2+3*(-2*x^3-3*x^2+1)^(1/2)-2*x-10)/(4*x^2+2*x+7)/(-1+2*x) lgdegf] A354733 11.2039 [-x^2-1/2+1/2*(4*x^4+4*x^2+4*x+1)^(1/2) revogf] A354733 11.2040 [-x^2-1/2+1/2*(4*x^4+4*x^2+4*x+1)^(1/2) revogf] A354733 16.9304 [x+1-f(x)+2*f(x)^2*x^2 ogf] A354734 11.2243 [-3/2*x^2-1/2+1/2*(9*x^4+6*x^2+4*x+1)^(1/2) revogf] A354734 17.9589 [-x-1+f(x)-3*f(x)^2*x^2 ogf] A354735 11.8317 [-2*x^2-1/2+1/2*(16*x^4+8*x^2+4*x+1)^(1/2) revogf] A354735 18.142 [x+1-f(x)+4*f(x)^2*x^2 ogf] A354736 10.8674 [-5/2*x^2-1/2+1/2*(25*x^4+10*x^2+4*x+1)^(1/2) revogf] A354736 17.8708 [x+1-f(x)+5*f(x)^2*x^2 ogf] A354775 6.40372 [(36*x^10+12*x^9-6*x^8-18*x^7-18*x^6-6*x^5-20*x^4+4*x^3+6*x^2+4*x+5)/(x-1)/(2*x^2-1) ogf] A354775 6.83422 [(36*x^10+12*x^9-6*x^8-18*x^7-18*x^6-6*x^5-20*x^4+4*x^3+6*x^2+4*x+5)/(x-1)/(2*x^2-1) ogf] A354779 13.508 [x*(x^7-x^6-x^3+x^2+1)/(x^2+1)/(x-1)^2 ogf] A354779 14.9883 [x*(x^7-x^6-x^3+x^2+1)/(x^2+1)/(x-1)^2 ogf] A354784 11.6464 [-(3*x^2+2*x+1)/(x^3+x^2+x-1) lgdogf] A354784 16.5638 [-2*x^2/(x^3+x^2+x-1) ogf] A354784 20.1452 [-2*x^2/(x^3+x^2+x-1) ogf] A354784 7.30757 [{-a(n+3)+a(n+2)+a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=2} ogf] A354784 9.20212 [-f(x)*x^3-f(x)*x^2-f(x)*x-2*x^2+f(x) ogf] A354785 13.7754 [(17*f(x)-19)*(2*f(x)*x^2+3*x^2-f(x)+6*x+3) ogf] A354785 13.9567 [{-a(n+3)+2*a(n+1),a(0)=3,a(1)=6,a(2)=9} ogf] A354785 18.9412 [-(4*x+2)/(2*x^3+2*x^2-x-1) lgdogf] A354785 25.871 [-3*(x+1)^2/(2*x^2-1) ogf] A354785 32.1427 [-3*(x+1)^2/(2*x^2-1) ogf] A354788 10.353 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=0,a(1)=1,a(2)=3} ogf] A354788 13.3295 [-(8*x^3+2*x^2-4*x-3)/(4*x^4-2*x^3-4*x^2+x+1) lgdogf] A354788 20.12 [x*(2*x+1)/(x-1)/(2*x^2-1) ogf] A354788 23.6969 [x*(2*x+1)/(x-1)/(2*x^2-1) ogf] A354788 9.96597 [(3*f(x)+1)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)-x) ogf] A354789 10.1937 [{a(n+3)-a(n+2)-2*a(n+1)+2*a(n),a(0)=2,a(1)=5,a(2)=11} ogf] A354789 10.9218 [-(4*x^4+12*x^3+8*x^2-12*x-5)/(4*x^5+2*x^4-4*x^3-5*x^2+x+2) lgdogf] A354789 18.7779 [(2*x^2+3*x+2)/(x-1)/(2*x^2-1) ogf] A354789 21.8437 [(2*x^2+3*x+2)/(x-1)/(2*x^2-1) ogf] A354789 9.55662 [(f(x)-14)*(2*f(x)*x^3-2*f(x)*x^2-f(x)*x-2*x^2+f(x)-3*x-2) ogf] A354855 7.87752 [x*(x^5+4*x^4+18*x^3-3*x-4)/(x-1)/(x+1)/(x^2+4*x-1)^2 ogf] A354855 8.61031 [x*(x^5+4*x^4+18*x^3-3*x-4)/(x-1)/(x+1)/(x^2+4*x-1)^2 ogf] A354856 7.72744 [-(x^3-x+1)*(x^4-x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A354856 8.45473 [-(x^3-x+1)*(x^4-x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A354902 15.7357 [-(4*x^4-2*x^3+x^2+1)/(x-1)^3 ogf] A354902 18.3047 [-(4*x^4-2*x^3+x^2+1)/(x-1)^3 ogf] A354902 6.49951 [{-a(n+5)+3*a(n+4)-3*a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=7,a(3)=11,a(4)=19} ogf] A354902 7.06246 [-(6*f(x)-5)*(f(x)*x^3+4*x^4-3*f(x)*x^2-2*x^3+3*f(x)*x+x^2-f(x)+1) ogf] A354902 9.24671 [-(-4*x^4+16*x^3-5*x^2+2*x+3)/(4*x^5-6*x^4+3*x^3-x^2+x-1) lgdogf] A354957 10.2373 [-(x^7-8*x^4-8*x^3-5*x^2-3*x-1)/(x-1)^2/(x+1)^2 ogf] A354957 11.3592 [-(x^7-8*x^4-8*x^3-5*x^2-3*x-1)/(x-1)^2/(x+1)^2 ogf] A354958 10.1076 [-(6*x^5-10*x^4-9*x^3-7*x^2-3*x-1)/(x-1)^2/(x+1)^2 ogf] A354958 11.2003 [-(6*x^5-10*x^4-9*x^3-7*x^2-3*x-1)/(x-1)^2/(x+1)^2 ogf] A354958 6.23177 [{-a(n+6)+2*a(n+4)-a(n+2),a(0)=1,a(1)=3,a(2)=9,a(3)=15,a(4)=27,a(5)=21} ogf] A354961 7.43408 [-(x^2+1)*(x^7-x^6-3*x^5+7*x^4+6*x^3+3*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A354961 8.00048 [-(x^2+1)*(x^7-x^6-3*x^5+7*x^4+6*x^3+3*x^2+2*x+1)/(x+1)^2/(x-1)^3 ogf] A354983 4.05464 [x^11*(x^54-x^36+x^18-x^9-1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A354983 4.25611 [x^11*(x^54-x^36+x^18-x^9-1)/(x-1)/(x^2+x+1)/(x^6+x^3+1)/(x+1)/(x^2-x+1)/(x^6-x^3+1) ogf] A355018 10.9208 [-(2*x^3+x-1)/(x-1)/(x^4+x^2-1) ogf] A355018 4.11214 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=1,a(3)=-2,a(4)=0} ogf] A355018 5.64547 [-(4*x^7-2*x^6+4*x^5-6*x^4+10*x^3-10*x^2+2*x)/(2*x^8-2*x^7+3*x^6-4*x^5+2*x-1) lgdogf] A355018 9.65458 [-(2*x^3+x-1)/(x-1)/(x^4+x^2-1) ogf] A355019 12.4474 [(2*x^2-x+1)/(x-1)/(x^4+x^2-1) ogf] A355019 14.1944 [(2*x^2-x+1)/(x-1)/(x^4+x^2-1) ogf] A355019 4.96369 [{-a(n+5)+a(n+4)+a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=3,a(3)=2,a(4)=6} ogf] A355019 6.91522 [-(6*x^6-8*x^5+10*x^4-6*x^3+6*x^2-6*x)/(2*x^7-3*x^6+4*x^5-4*x^4+2*x^2-2*x+1) lgdogf] A355020 13.2804 [-(3*x^2-4*x)/(x^3-2*x^2+1) lgdogf] A355020 18.1391 [1/(x-1)/(x^2-x-1) ogf] A355020 22.5365 [1/(x-1)/(x^2-x-1) ogf] A355020 8.54831 [-(33*f(x)+31)*(f(x)*x^3-2*f(x)*x^2+f(x)-1) ogf] A355020 8.74945 [{a(n+3)-2*a(n+1)+a(n),a(0)=1,a(1)=0,a(2)=2} ogf] A355021 12.6065 [-(2*x-1)/(x-1)/(x^2-x-1) ogf] A355021 14.6647 [-(-1+2*x)/(x-1)/(x^2-x-1) ogf] A355021 7.98414 [-(10*f(x)-7)*(f(x)*x^3-2*f(x)*x^2+f(x)+2*x-1) ogf] A355021 8.3555 [{-a(n+3)+2*a(n+1)-a(n),a(0)=1,a(1)=-2,a(2)=2} ogf] A355021 8.98216 [-(4*x^3-7*x^2+4*x-2)/(2*x^4-5*x^3+2*x^2+2*x-1) lgdogf] A355023 4.92499 [{-a(n+1)*n^2+a(n+2)*n-18*a(n+1)*n+2*a(n+2)-80*a(n+1),a(0)=5040,a(1)=317520} ogf] A355023 8.04945 [-5040*(28*x^6+336*x^5+1050*x^4+1120*x^3+420*x^2+48*x+1)/(x-1)^15 egf] A355024 5.80553 [-(20*x^5-3*x^4+24*x^3+4*x^2+8*x+3)/(2*x^6-x^5+x^4-2*x^2+x-1) lgdogf] A355024 8.42994 [-(2*x^2-x+1)/(x^2+1)/(x+1)^3/(x-1)^7 ogf] A355024 9.46747 [-(2*x^2-x+1)/(x^2+1)/(x+1)^3/(x-1)^7 ogf] A355044 4.74682 [1/2*I*(4*I*x^4-2*I*x^3-5*I*x^2-(4*x-1)^(1/2)*x^2+12*I*x-6*(4*x-1)^(1/2)*x-3*I+3*(4*x-1)^(1/2))/x^5 ogf] A355067 5.29482 [x*(x^2+x+1)*(x^6-x^5-x^4+2*x^3-2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A355067 5.65686 [x*(x^2+x+1)*(x^6-x^5-x^4+2*x^3-2*x^2+x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A355118 11.4251 [{a(n+3)-3*a(n),a(0)=23,a(1)=33,a(2)=47} ogf] A355118 15.5996 [-(47*x^2+33*x+23)/(3*x^3-1) ogf] A355118 18.4359 [-(47*x^2+33*x+23)/(3*x^3-1) ogf] A355118 7.30795 [-(141*x^4+198*x^3+207*x^2+94*x+33)/(141*x^5+99*x^4+69*x^3-47*x^2-33*x-23) lgdogf] A355118 9.65693 [(882*f(x)-13435)*(3*f(x)*x^3+47*x^2-f(x)+33*x+23) ogf] A355141 10.4419 [(x+1)*(x^4+x^2-x+1)/(x^6+x^4+1) ogf] A355141 5.70356 [{a(n+6)+a(n+2)+a(n),a(0)=1,a(1)=0,a(2)=0,a(3)=1,a(4)=0,a(5)=1} ogf] A355141 9.29759 [(x+1)*(x^4+x^2-x+1)/(x^6+x^4+1) ogf] A355142 13.3403 [-(33645*x-33647)/(3*x-1)/(x-1) ogf] A355142 15.5183 [-(33645*x-33647)/(3*x-1)/(x-1) ogf] A355142 7.10651 [(201890*f(x)+3396496419)*(3*f(x)*x^2-4*f(x)*x+f(x)+33645*x-33647) ogf] A355142 7.75914 [-(100935*x^2-201882*x+100943)/(100935*x^3-235521*x^2+168233*x-33647) lgdogf] A355142 9.1614 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=33647,a(1)=100943} ogf] A355151 3.71714 [-x*(x^15+x^12-2*x^11-x^10-3*x^9-x^7+x^6+x^4-x^2-x-1)/(2*x^16+x^14+x^13-x^12-2*x^10+2*x^9-x^8+2*x^7+2*x^5+1) revogf] A355162 24.3403 [2+4*exp(4*x) lgdegf] A355163 24.4339 [3+4*exp(4*x) lgdegf] A355164 26.9456 [2+exp(3*x) lgdegf] A355164 26.9457 [2+exp(3*x) lgdegf] A355165 25.6943 [2+exp(4*x) lgdegf] A355167 26.3704 [3+exp(4*x) lgdegf] A355167 26.3705 [3+exp(4*x) lgdegf] A355171 11.9365 [(-ln(2*x-1)+ln(x-1))/(x-1)^2 egf] A355175 10.1682 [-(x^9-9*x^8+35*x^7-100*x^6+65*x^5-286*x^4-15*x^3-36*x^2+10*x-1)/(x-1)^10 ogf] A355175 9.4354 [-(x^9-9*x^8+35*x^7-100*x^6+65*x^5-286*x^4-15*x^3-36*x^2+10*x-1)/(x-1)^10 ogf] A355194 19.6521 [1+BesselI(1,2*x) lgdegf] A355200 10.2519 [(3*x^4-2*x^3+4*x^2-2*x+3)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A355200 4.67907 [{-a(n+6)+2*a(n+5)-2*a(n+4)+2*a(n+3)-2*a(n+2)+2*a(n+1)-a(n),a(0)=3,a(1)=4,a(2)=6,a(3)=8,a(4)=9,a(5)=12} ogf] A355200 9.40637 [(3*x^4-2*x^3+4*x^2-2*x+3)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A355247 27.5475 [2+2*exp(x) lgdegf] A355247 27.5476 [2+2*exp(x) lgdegf] A355252 26.3842 [3+2*exp(x) lgdegf] A355252 26.3843 [3+2*exp(x) lgdegf] A355253 28.5083 [-3+2*exp(x) lgdegf] A355253 28.5084 [-3+2*exp(x) lgdegf] A355254 26.9876 [-1+3*exp(x) lgdegf] A355258 11.7183 [-(-ln(2*x-1)+ln(x-1))*(x-1) egf] A355268 16.0041 [-(-2*x^2+2*x+1)/(x-1) lgdegf] A355268 17.459 [(2*x^2-2*x-1)/(x-1) lgdegf] A355268 3.32552 [{-2*a(n+1)*n^2+a(n+3)*n+2*a(n+2)*n-10*a(n+1)*n-a(n+4)+4*a(n+3)+6*a(n+2)-12*a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=12} ogf] A355288 12.9212 [-(2*x^3-x^2-x-1)/(x-1)/(x^2+x-1) ogf] A355288 14.5115 [-(2*x^3-x^2-x-1)/(x-1)/(x^2+x-1) ogf] A355288 8.8154 [-(15*f(x)+73)*(f(x)*x^3+2*x^3-2*f(x)*x-x^2+f(x)-x-1) ogf] A355288 8.8154 [{a(n+4)-2*a(n+3)+a(n+1),a(0)=1,a(1)=3,a(2)=7,a(3)=11} ogf] A355288 8.98330 [-(-x^4+6*x^3-11*x^2+2*x+3)/(2*x^6-x^5-5*x^4+3*x^3+x^2+x-1) lgdogf] A355291 19.3963 [2*exp(2*x)+exp(x) lgdegf] A355291 19.3963 [exp(x)+2*exp(2*x) lgdegf] A355293 13.4238 [-(6*x^2+6*x+6)/(2*x^3+3*x^2+6*x-6) lgdegf] A355293 20.9543 [-6/(2*x^3+3*x^2+6*x-6) egf] A355293 26.0341 [-6/(2*x^3+3*x^2+6*x-6) egf] A355293 8.26082 [-(19*f(x)+8)*(2*f(x)*x^3+3*f(x)*x^2+6*f(x)*x-6*f(x)+6) egf] A355294 10.0992 [-(12*x^3+12*x^2+12*x+12)/(3*x^4+4*x^3+6*x^2+12*x-12) lgdegf] A355294 16.7025 [-12/(3*x^4+4*x^3+6*x^2+12*x-12) egf] A355294 19.7394 [-12/(3*x^4+4*x^3+6*x^2+12*x-12) egf] A355294 6.03147 [{12*a(n+4)-12*a(n+3)-6*a(n+2)-4*a(n+1)-3*a(n),a(0)=1,a(1)=1,a(2)=3/2,a(3)=7/3} egf] A355294 6.73281 [-(2671*f(x)-810)*(3*f(x)*x^4+4*f(x)*x^3+6*f(x)*x^2+12*f(x)*x-12*f(x)+12) egf] A355324 10.5625 [-(x^4-x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A355324 4.95921 [{a(n+5)-a(n+4)-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=2,a(2)=3,a(3)=6,a(4)=9} ogf] A355324 9.56836 [-(x^4-x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A355325 4.95136 [{a(n+5)-a(n+4)-a(n+3)-a(n+2)+a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=4,a(3)=6,a(4)=10} ogf] A355325 8.78467 [-(2*x^4+2*x^3-2*x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A355325 9.61146 [-(2*x^4+2*x^3-2*x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A355327 4.19224 [{a(n+6)-9*a(n+4)+7*a(n+2)-a(n),a(0)=1,a(1)=1,a(2)=5,a(3)=10,a(4)=39,a(5)=83} ogf] A355327 7.78558 [-(x^2+3*x+1)*(x-1)^2/(x^6-7*x^4+9*x^2-1) ogf] A355327 8.68826 [-(x^2+3*x+1)*(x-1)^2/(x^6-7*x^4+9*x^2-1) ogf] A355337 29.1998 [2*x+exp(x) lgdegf] A355337 29.1999 [2*x+exp(x) lgdegf] A355338 28.0857 [-2*x+exp(x) lgdegf] A355347 5.5212 [27*f(x)^3*x^4-4*f(x)^3*x^3-27*f(x)^2*x^3+4*f(x)^2*x^2+9*f(x)*x^2-27*f(x)*x+4*f(x)-x-4 ogf] A355347 6.68355 [-1/2*(-4*x^3+4*x^2+((4*x^2+12*x+1)*(2*x^2-5*x-4)^2)^(1/2)-27*x-4)/(3*x-1)^3 revogf] A355358 3.61551 [-(x+1)*(x^10-x^9+2*x^8-x^7+x^6-x^5+x^4-x^3+2*x^2-x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A355359 4.21968 [-x*(x+1)*(x^8-x^7+x^6+x^4+x^2-x+1)/(x-1)/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A355372 11.451 [-1/(x-1)^3*(-ln(2*x-1)+ln(x-1)) egf] A355378 18.6477 [3*exp(3*x)-exp(x) lgdegf] A355379 17.6748 [3*exp(3*x)+exp(x) lgdegf] A355380 16.6808 [2*exp(2*x)+3*exp(3*x) lgdegf] A355380 16.6808 [3*exp(3*x)+2*exp(2*x) lgdegf] A355381 16.0529 [-2*exp(2*x)+3*exp(3*x) lgdegf] A355381 16.0529 [3*exp(3*x)-2*exp(2*x) lgdegf] A355396 17.3871 [exp(3*x)-exp(x) lgdegf] A355397 15.8453 [exp(2*x)+exp(3*x) lgdegf] A355397 15.8454 [exp(3*x)+exp(2*x) lgdegf] A355398 16.5326 [-exp(2*x)+exp(3*x) lgdegf] A355398 16.5326 [exp(3*x)-exp(2*x) lgdegf] A355399 10.1205 [x*(x^10-x^9-2*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A355399 9.22094 [x*(x^10-x^9-2*x^3+2*x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A355407 12.613 [1/(x-1)^4*(-ln(2*x-1)+ln(x-1)) egf] A355414 12.0872 [-1/(x-1)^5*(-ln(2*x-1)+ln(x-1)) egf] A355421 10.426 [exp(x)+3*exp(3*x)+2*exp(2*x) lgdegf] A355421 10.4260 [2*exp(2*x)+3*exp(3*x)+exp(x) lgdegf] A355422 8.02743 [2*exp(2*x)+3*exp(3*x)+exp(x)+4*exp(4*x) lgdegf] A355444 14.2423 [-(-51*x^50-33*x^32)/(x^51+x^33+1) lgdogf] A355444 14.2423 [3*x^32*(17*x^18+11)/(x^51+x^33+1) lgdogf] A355480 10.3972 [(7*x^8-8*x^7-1)/(x^9-x^8+x-1) lgdogf] A355480 3.29416 [-x^28*(x^4-x^2+1)*(x^6-x^2-1)/(x+1)/(x^40+x^38+x^36+x^34+x^24+x^22+x^20+x^18+x^8+x^6+x^4+x^2+1)/(x-1)^2 ogf] A355480 3.43 [-x^28*(x^4-x^2+1)*(x^6-x^2-1)/(x+1)/(x^40+x^38+x^36+x^34+x^24+x^22+x^20+x^18+x^8+x^6+x^4+x^2+1)/(x-1)^2 ogf] A355492 11.0629 [{-a(n+2)+4*a(n+1)-3*a(n),a(0)=5,a(1)=19} ogf] A355492 12.2017 [-(3*x^2-30*x+19)/(3*x^3-19*x^2+21*x-5) lgdogf] A355492 16.933 [-(x-5)/(-1+3*x)/(x-1) ogf] A355492 20.237 [-(x-5)/(3*x-1)/(x-1) ogf] A355492 9.42862 [(46*f(x)+131)*(3*f(x)*x^2-4*f(x)*x+f(x)+x-5) ogf] A355497 10.5574 [f(x)*(f(x)*x^2+5*x^3-2*f(x)*x-2*x^2+f(x)-4*x) ogf] A355497 16.4844 [-(8*x-10)/(5*x^3-7*x^2-2*x+4) lgdogf] A355497 19.1757 [-x*(5*x^2-2*x-4)/(x-1)^2 ogf] A355497 22.9173 [-x*(5*x^2-2*x-4)/(x-1)^2 ogf] A355497 8.78141 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=0,a(1)=4,a(2)=10,a(3)=11} ogf] A355501 17.3538 [3*exp(x)*(x+1) lgdegf] A355504 5.13679 [-(x^22-11*x^21+10*x^20+8*x^12-10*x^11-2*x^2+x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A355504 5.40538 [-(x^22-11*x^21+10*x^20+8*x^12-10*x^11-2*x^2+x-1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A355509 8.5537 [x*(2*x^8-2*x^7-2*x^6+x^5+2*x^4-2*x^3+x-2)/(x+1)/(x-1)^3 ogf] A355509 9.32257 [x*(2*x^8-2*x^7-2*x^6+x^5+2*x^4-2*x^3+x-2)/(x+1)/(x-1)^3 ogf] A355510 3.92275 [{a(n+2)*n-8*a(n+1)*n+7*a(n)*n+2*a(n+2)-8*a(n+1)-42*a(n),a(0)=0,a(1)=0,a(2)=21} ogf] A355510 8.38286 [x^2*(x^5-7*x^4+21*x^3-35*x^2+35*x-21)/(-1+7*x) ogf] A355510 9.4146 [x^2*(x^5-7*x^4+21*x^3-35*x^2+35*x-21)/(7*x-1) ogf] A355511 4.62387 [{-a(n+2)*n+12*a(n+1)*n-11*a(n)*n-2*a(n+2)+12*a(n+1)+110*a(n),a(0)=0,a(1)=0,a(2)=55} ogf] A355511 6.32324 [x^2*(x^9-11*x^8+55*x^7-165*x^6+330*x^5-462*x^4+462*x^3-330*x^2+165*x-55)/(11*x-1) ogf] A355515 8.49853 [(287453*x^10+164750*x^9+39537*x^7+685*x^5+93*x^4+10*x^2+x+2)/(x-1)^2 ogf] A355515 9.23753 [(287453*x^10+164750*x^9+39537*x^7+685*x^5+93*x^4+10*x^2+x+2)/(x-1)^2 ogf] A355551 11.1473 [(x^3+4*x^2-2*x+1)/(x+1)/(2*x-1)/(x-1)^3 ogf] A355551 4.36489 [{-a(n+5)+4*a(n+4)-4*a(n+3)-2*a(n+2)+5*a(n+1)-2*a(n),a(0)=1,a(1)=2,a(2)=8,a(3)=23,a(4)=61} ogf] A355551 6.35589 [-(4*x^5+27*x^4-6*x^3+5*x^2-4*x-2)/(2*x^6+7*x^5-10*x^4-3*x^3+7*x^2-4*x+1) lgdogf] A355551 9.92563 [(x^3+4*x^2-2*x+1)/(x+1)/(2*x-1)/(x-1)^3 ogf] A355552 4.20973 [{-a(n+6)+2*a(n+5)+a(n+4)-a(n+3)-2*a(n+2)-a(n+1)+2*a(n),a(0)=5,a(1)=10,a(2)=23,a(3)=54,a(4)=117,a(5)=240} ogf] A355552 8.37777 [-(6*x^4+3*x^3-2*x^2+5)/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A355552 9.09844 [-(6*x^4+3*x^3-2*x^2+5)/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A355645 4.59357 [{-a(n+5)+7*a(n+4)-17*a(n+3)+17*a(n+2)-6*a(n+1),a(0)=1,a(1)=3,a(2)=16,a(3)=61,a(4)=206} ogf] A355645 4.68135 [-(4*f(x)-63055)*(6*f(x)*x^4-17*f(x)*x^3-6*x^4+17*f(x)*x^2+17*x^3-7*f(x)*x-12*x^2+f(x)+4*x-1) ogf] A355645 8.85508 [(6*x^4-17*x^3+12*x^2-4*x+1)/(-1+3*x)/(2*x-1)/(x-1)^2 ogf] A355645 9.79962 [(6*x^4-17*x^3+12*x^2-4*x+1)/(3*x-1)/(2*x-1)/(x-1)^2 ogf] A355672 17.7735 [-exp(x)+1/(x-1)^2 lgdegf] A355672 8.07886 [-(exp(x)*x^2-2*exp(x)*x+exp(x)-1)/(x-1)^2 lgdegf] A355673 3.63378 [-(5*x^16+9*x^15+4*x^14+8*x^13+9*x^11+7*x^10+3*x^9+4*x^8+x^7+6*x^6+2*x^5+2*x^3+3*x^2+7*x+1)/(x+1)/(x-1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A355673 3.77986 [-(5*x^16+9*x^15+4*x^14+8*x^13+9*x^11+7*x^10+3*x^9+4*x^8+x^7+6*x^6+2*x^5+2*x^3+3*x^2+7*x+1)/(x-1)/(x+1)/(x^2+1)/(x^4+1)/(x^8+1) ogf] A355674 5.81701 [-(5*x^7-10*x^6+10*x^5-5*x^4+5*x^3-3*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A355674 6.20807 [-(5*x^7-10*x^6+10*x^5-5*x^4+5*x^3-3*x^2+6*x+1)/(x-1)/(x^2+x+1)/(x^2-x+1) ogf] A355682 5.00489 [-(x-1)*(x+1)*(2*x^2+x+2)*(x^16-x^8+1)*(x^8+1)^2 ogf] A355682 5.44977 [-(x-1)*(x+1)*(2*x^2+x+2)*(x^16-x^8+1)*(x^8+1)^2 ogf] A355703 5.85919 [-(950*x^23-3002*x^22+3171*x^21-1120*x^20+14*x^10-47*x^9+53*x^8-20*x^7+x^5-4*x^4+6*x^3-5*x^2+3*x-1)/(x-1)^4 ogf] A355703 6.18246 [-(950*x^23-3002*x^22+3171*x^21-1120*x^20+14*x^10-47*x^9+53*x^8-20*x^7+x^5-4*x^4+6*x^3-5*x^2+3*x-1)/(x-1)^4 ogf] A355713 5.37792 [(176*x^8+2049*x^7+351*x^6+2400*x^5+2049*x^4+2400*x^3+351*x^2+2049*x+175)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A355713 5.66862 [(176*x^8+2049*x^7+351*x^6+2400*x^5+2049*x^4+2400*x^3+351*x^2+2049*x+175)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A355751 14.5712 [(5*x^3+102*x^2+105*x+4)/(x-1)^4 ogf] A355751 17.1616 [(5*x^3+102*x^2+105*x+4)/(x-1)^4 ogf] A355751 5.11439 [(57016*f(x)+4722005)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-5*x^3-4*f(x)*x-102*x^2+f(x)-105*x-4) ogf] A355751 5.47711 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=4,a(1)=121,a(2)=562,a(3)=1543} ogf] A355751 8.67722 [-(5*x^3+219*x^2+519*x+121)/(5*x^4+97*x^3+3*x^2-101*x-4) lgdogf] A355752 15.9527 [-3*(x^4+115*x^3+345*x^2+113*x+2)/(x-1)^5 ogf] A355752 18.1158 [-3*(x^4+115*x^3+345*x^2+113*x+2)/(x-1)^5 ogf] A355752 5.97113 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=6,a(1)=369,a(2)=2820,a(3)=10815,a(4)=29538} ogf] A355752 9.37570 [-(x^4+234*x^3+1380*x^2+1142*x+123)/(x^5+114*x^4+230*x^3-232*x^2-111*x-2) lgdogf] A355753 15.9527 [-3*(2*x^4+113*x^3+345*x^2+115*x+1)/(x-1)^5 ogf] A355753 18.1158 [-3*(2*x^4+113*x^3+345*x^2+115*x+1)/(x-1)^5 ogf] A355753 5.97113 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=3,a(1)=360,a(2)=2805,a(3)=10794,a(4)=29511} ogf] A355753 9.37570 [-(2*x^4+234*x^3+1374*x^2+1150*x+120)/(2*x^5+111*x^4+232*x^3-230*x^2-114*x-1) lgdogf] A355759 8.62121 [-(x^7-2*x^6+x^4-x^3+2*x^2-2*x-1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A355759 9.33223 [-(x^7-2*x^6+x^4-x^3+2*x^2-2*x-1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A355805 3.5234 [(x^19-x^18+x^17-x^12+x^11-x^10-x^9-x^2+x-1)/(x^19-2*x^18+2*x^17-x^16+x^15+3*x^14-x^13+3*x^11-x^9+x^7-x^6+x^5+x^4-x^2+2*x-1) ogf] A355805 3.65451 [(x^19-x^18+x^17-x^12+x^11-x^10-x^9-x^2+x-1)/(x^19-2*x^18+2*x^17-x^16+x^15+3*x^14-x^13+3*x^11-x^9+x^7-x^6+x^5+x^4-x^2+2*x-1) ogf] A355882 13.7754 [-(5*x-3)/(27*x^2-18*x+1) ogf] A355882 16.6011 [-(5*x-3)/(27*x^2-18*x+1) ogf] A355882 6.81519 [-(720*f(x)+241)*(27*f(x)*x^2-18*f(x)*x+f(x)+5*x-3) ogf] A355882 8.40835 [{a(n+2)-18*a(n+1)+27*a(n),a(0)=3,a(1)=49} ogf] A355882 8.74923 [-(135*x^2-162*x+49)/(135*x^3-171*x^2+59*x-3) lgdogf] A355883 13.0708 [-(11*x-4)/(116*x^2-45*x+1) ogf] A355883 15.6212 [-(11*x-4)/(116*x^2-45*x+1) ogf] A355883 6.46937 [-(6677*f(x)+1853)*(116*f(x)*x^2-45*f(x)*x+f(x)+11*x-4) ogf] A355883 8.10719 [{a(n+2)-45*a(n+1)+116*a(n),a(0)=4,a(1)=169} ogf] A355883 8.21113 [-(1276*x^2-928*x+169)/(1276*x^3-959*x^2+191*x-4) lgdogf] A355894 27.3604 [-x/(10*x-1) ogf] A355988 10.0197 [-(-3*x^4-3*x^3-3*x^2-2*x-1)/(x^2+x+1) lgdegf] A355988 6.16597 [4*(x^2+x+1)*(x^9+15*x^6+90*x^3+210)/(x^12-16*x^9+120*x^6-480*x^3+840) egf] A355988 6.61852 [4*(x^2+x+1)*(x^9+15*x^6+90*x^3+210)/(x^12-16*x^9+120*x^6-480*x^3+840) egf] A355989 9.10030 [-(-4*x^4-4*x^3-12*x^2-6*x-3)/(2*x^3+2*x^2+3*x+1) lgdegf] A355990 3.77981 [(27*x^10+27*x^9+27*x^8+180*x^7+144*x^6+108*x^5+240*x^4+132*x^3+60*x^2+40*x+8)/(9*x^8+9*x^7+9*x^6+36*x^5+27*x^4+18*x^3+20*x^2+8*x+2) lgdegf] A356012 6.77555 [-1/2*(2*x^6-3*x^5+3*x^4-4*x^3+12*x^2+6*x+2)/(x^2+x+1)^2/(x-1)^3 egf] A356012 7.3522 [-1/2*(2*x^6-3*x^5+3*x^4-4*x^3+12*x^2+6*x+2)/(x^2+x+1)^2/(x-1)^3 egf] A356023 2.64255 [(55*x^10+20*x^9+54*x^8+28*x^6+6*x^5+20*x^4+16*x^3+6*x^2+5)/(5*x^11+2*x^10+6*x^9+4*x^7+x^6+4*x^5+4*x^4+2*x^3+5*x+7) lgdogf] A356047 10.1036 [(3*x^5+4*x^4-14*x^2-3*x-2)/(x-1)/(x+1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A356047 6.96326 [{a(n+6)-15*a(n+4)+15*a(n+2)-a(n),a(0)=2,a(1)=3,a(2)=44,a(3)=45,a(4)=626,a(5)=627} ogf] A356047 9.36875 [(3*x^5+4*x^4-14*x^2-3*x-2)/(x-1)/(x+1)/(x^2-4*x+1)/(x^2+4*x+1) ogf] A356050 11.7329 [-(3*x^3+2*x^2+x+1)/(2*x^2-1)/(x^2+1) ogf] A356050 13.1769 [-(3*x^3+2*x^2+x+1)/(2*x^2-1)/(x^2+1) ogf] A356050 8.15713 [(928*f(x)-545)*(2*f(x)*x^4+f(x)*x^2+3*x^3+2*x^2-f(x)+x+1) ogf] A356050 8.73979 [{-a(n+4)+a(n+2)+2*a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=4} ogf] A356114 11.2992 [-(4*x^3-15*x+9)/(4*x^4-8*x^3+x^2+5*x-2) lgdogf] A356114 14.4709 [x^3*(2*x^2-x-2)/(2*x-1)/(x-1)^2 ogf] A356114 16.8335 [x^3*(2*x^2-x-2)/(2*x-1)/(x-1)^2 ogf] A356114 5.64959 [{a(n+6)-4*a(n+5)+5*a(n+4)-2*a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=2,a(4)=9,a(5)=24} ogf] A356118 3.63536 [-(BesselI(0,-2*x)*exp(2*x)*x+exp(2*x)*BesselI(1,-2*x)*x-BesselI(0,-2*x)*exp(2*x)-exp(2*x)*BesselI(1,-2*x)+2)/(x-1) egf] A356185 12.1924 [-(4*x^3-3*x^2-x+1)/(2*x^2-1)/(x-1)^2 ogf] A356185 13.7914 [-(4*x^3-3*x^2-x+1)/(2*x^2-1)/(x-1)^2 ogf] A356185 5.92445 [-(7*f(x)-10)*(2*f(x)*x^4-4*f(x)*x^3+f(x)*x^2+4*x^3+2*f(x)*x-3*x^2-f(x)-x+1) ogf] A356185 6.32536 [{a(n+4)-2*a(n+3)-a(n+2)+4*a(n+1)-2*a(n),a(0)=1,a(1)=1,a(2)=0,a(3)=1} ogf] A356185 7.93653 [-(8*x^5-4*x^4-2*x^3-2*x^2+3*x-1)/(8*x^6-14*x^5+11*x^3-4*x^2-2*x+1) lgdogf] A356187 3.17229 [-(f(x)-x-1)^3 ogf] A356198 10.2098 [(10*x^2-x-5)/(x-1)/(2*x-1)/(5*x-1) ogf] A356198 11.6181 [(10*x^2-x-5)/(x-1)/(2*x-1)/(5*x-1) ogf] A356198 5.30588 [-(86668*f(x)-478175)*(10*f(x)*x^3-17*f(x)*x^2+8*f(x)*x-10*x^2-f(x)+x+5) ogf] A356198 6.07069 [-(100*x^4-20*x^3-213*x^2+190*x-41)/(100*x^5-180*x^4+47*x^3+67*x^2-39*x+5) lgdogf] A356198 6.18208 [{-a(n+3)+8*a(n+2)-17*a(n+1)+10*a(n),a(0)=5,a(1)=41,a(2)=233} ogf] A356200 10.7949 [-(2*x-3)/(x^2-3*x+1)/(2*x^2-6*x+1) ogf] A356200 12.3099 [-(2*x-3)/(x^2-3*x+1)/(2*x^2-6*x+1) ogf] A356200 4.97636 [{-a(n+4)+9*a(n+3)-21*a(n+2)+12*a(n+1)-2*a(n),a(0)=3,a(1)=25,a(2)=162,a(3)=969} ogf] A356200 5.27569 [(2494975*f(x)-77746)*(2*f(x)*x^4-12*f(x)*x^3+21*f(x)*x^2-9*f(x)*x+f(x)+2*x-3) ogf] A356200 6.55763 [-(12*x^4-72*x^3+150*x^2-126*x+25)/(4*x^5-30*x^4+78*x^3-81*x^2+29*x-3) lgdogf] A356251 16.2124 [-(35*x+25)/(7*x^2-4*x-3) lgdogf] A356251 19.7712 [2*x*(7*x+3)/(x-1)^6 ogf] A356251 24.5642 [2*x*(7*x+3)/(x-1)^6 ogf] A356251 3.97362 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=6,a(2)=50,a(3)=210,a(4)=630,a(5)=1540} ogf] A356288 11.6032 [-(x^4-x^3-3*x^2-2*x-2)/(x+1)^3/(x-1)^4 ogf] A356288 13.0313 [-(x^4-x^3-3*x^2-2*x-2)/(x+1)^3/(x-1)^4 ogf] A356288 7.36550 [-(3*x^5-3*x^4-12*x^3-18*x^2-22*x-4)/(x^6-x^5-4*x^4-x^3+x^2+2*x+2) lgdogf] A356313 2.75567 [x*(x^36-x^34+x^33+x^31-x^29-x^24+x^21-x^19+x^16-x^14+x^12+x^8+x^7-x^5-x^2-x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A356313 2.85966 [x*(x^36-x^34+x^33+x^31-x^29-x^24+x^21-x^19+x^16-x^14+x^12+x^8+x^7-x^5-x^2-x-1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf] A356334 2.79599 [(x^3-x^2-2*x-1)/(x-1) ogf] A356334 3.34155 [(x^3-x^2-2*x-1)/(x-1) ogf] A356411 11.3153 [(x+3)*(x-1)/(3*x^3+x^2+x-1) ogf] A356411 13.0232 [(x+3)*(x-1)/(3*x^3+x^2+x-1) ogf] A356411 6.10824 [(19*f(x)-43)*(3*f(x)*x^3+f(x)*x^2+f(x)*x-x^2-f(x)-2*x+3) ogf] A356411 6.63684 [{a(n+3)-a(n+2)-a(n+1)-3*a(n),a(0)=3,a(1)=1,a(2)=3} ogf] A356411 7.04318 [-(3*x^4+12*x^3-26*x^2-4*x-1)/(3*x^5+7*x^4-6*x^3-2*x^2-5*x+3) lgdogf] A356463 11.5181 [(x^2-8*x+3)/(x^3+x^2-4*x+1) ogf] A356463 4.90773 [-(f(x)-3)*(f(x)*x^3+f(x)*x^2-4*f(x)*x-x^2+f(x)+8*x-3) ogf] A356463 5.37513 [{a(n+3)-4*a(n+2)+a(n+1)+a(n),a(0)=3,a(1)=4,a(2)=14} ogf] A356463 5.70089 [-(x^4-16*x^3+5*x^2+4*x-4)/(x^5-7*x^4-9*x^3+36*x^2-20*x+3) lgdogf] A356463 9.90156 [(x^2-8*x+3)/(x^3+x^2-4*x+1) ogf] A356480 12.9923 [(4*x^6-4*x^5+4*x^4-8*x^3+2*x^2+3*x+1)/(x-1)^2 ogf] A356480 14.5914 [(4*x^6-4*x^5+4*x^4-8*x^3+2*x^2+3*x+1)/(x-1)^2 ogf] A356480 6.54096 [{-a(n+7)+2*a(n+6)-a(n+5),a(0)=1,a(1)=5,a(2)=11,a(3)=9,a(4)=11,a(5)=9,a(6)=11} ogf] A356549 6.47545 [-(x^6+x^4+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A356549 6.86495 [-(x^6+x^4+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^3 ogf] A356559 7.91335 [-(exp(-1)*x-exp(-1)+exp(1/(x-1)))/(x-1)^2/exp(-1) lgdegf] A356563 11.1596 [(x^2+4*x-3)/(2*x^3+x^2+2*x-1) ogf] A356563 12.9816 [(x^2+4*x-3)/(2*x^3+x^2+2*x-1) ogf] A356563 6.11631 [{a(n+3)-2*a(n+2)-a(n+1)-2*a(n),a(0)=3,a(1)=2,a(2)=6} ogf] A356563 6.99008 [-(2*x^4+16*x^3-16*x^2-4*x-2)/(2*x^5+9*x^4+4*x^2-10*x+3) lgdogf] A356563 7.14715 [2*f(x)*x^3+f(x)*x^2+2*f(x)*x-x^2-f(x)-4*x+3 ogf] A356569 3.96416 [(25*f(x)-39)*(f(x)*x^4+2*f(x)*x^3-6*f(x)*x^2-2*x^3-2*f(x)*x+12*x^2+f(x)+6*x-4) ogf] A356569 4.08075 [{-a(n+4)+2*a(n+3)+6*a(n+2)-2*a(n+1)-a(n),a(0)=4,a(1)=2,a(2)=16,a(3)=38} ogf] A356569 7.20756 [2*(x^3-6*x^2-3*x+2)/(x^4+2*x^3-6*x^2-2*x+1) ogf] A356569 8.04322 [2*(x^3-6*x^2-3*x+2)/(x^4+2*x^3-6*x^2-2*x+1) ogf] A356571 5.53391 [x*(x^11-5*x^10+10*x^9-9*x^8+x^7+2*x^6-9*x^5-248*x^4-454*x^3-229*x^2-21*x+1)/(x+1)/(x-1)^6 ogf] A356571 5.87186 [x*(x^11-5*x^10+10*x^9-9*x^8+x^7+2*x^6-9*x^5-248*x^4-454*x^3-229*x^2-21*x+1)/(x+1)/(x-1)^6 ogf] A356619 11.0901 [-x*(x^2+x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A356619 5.20558 [{-a(n+5)+3*a(n+4)-2*a(n+3)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=11,a(4)=25} ogf] A356619 6.83232 [-(3*x^5+5*x^4+7*x^3+3*x^2-2*x-4)/(x^6+x^5+x^4-2*x^3-x^2-x+1) lgdogf] A356619 9.93793 [-x*(x^2+x+1)/(x^3+x^2+x-1)/(x-1)^2 ogf] A356620 4.95894 [{a(n+6)-3*a(n+5)+2*a(n+4)+a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=11,a(4)=26,a(5)=56} ogf] A356620 8.53152 [-x*(x+1)*(x^2+1)/(x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A356620 9.33448 [-x*(x+1)*(x^2+1)/(x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A356621 6.96094 [-x*(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A356621 7.5123 [-x*(x^4+x^3+x^2+x+1)/(x^5+x^4+x^3+x^2+x-1)/(x-1)^2 ogf] A356622 10.2222 [-(x^2-4*x+1)/(x^3-7*x^2+9*x-1) ogf] A356622 4.67049 [(3313*f(x)+591)*(f(x)*x^3-7*f(x)*x^2+9*f(x)*x+x^2-f(x)-4*x+1) ogf] A356622 5.15978 [{-a(n+3)+9*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=5,a(2)=39} ogf] A356622 5.31154 [-(x^4-8*x^3+22*x^2-12*x+5)/(x^5-11*x^4+38*x^3-44*x^2+13*x-1) lgdogf] A356622 8.88159 [-(x^2-4*x+1)/(x^3-7*x^2+9*x-1) ogf] A356623 13.9322 [-2/(x^3-7*x^2+9*x-1) ogf] A356623 17.3097 [-2/(x^3-7*x^2+9*x-1) ogf] A356623 5.33852 [{a(n+3)-9*a(n+2)+7*a(n+1)-a(n),a(0)=2,a(1)=18,a(2)=148} ogf] A356623 5.49251 [(6289*f(x)-258)*(f(x)*x^3-7*f(x)*x^2+9*f(x)*x-f(x)+2) ogf] A356623 8.78802 [-(3*x^2-14*x+9)/(x^3-7*x^2+9*x-1) lgdogf] A356632 3.91939 [(6*x^8-6*x^7-36*x^6-28*x^5+35*x^4+26*x^3-8*x^2-12*x+4)/(3*x^10+4*x^9+23*x^8+16*x^7-19*x^6-60*x^5+15*x^4+32*x^3+4*x^2-16*x+4) egf] A356632 4.10827 [(6*x^8-6*x^7-36*x^6-28*x^5+35*x^4+26*x^3-8*x^2-12*x+4)/(3*x^10+4*x^9+23*x^8+16*x^7-19*x^6-60*x^5+15*x^4+32*x^3+4*x^2-16*x+4) egf] A356633 4.58539 [(x^9-11*x^6-12*x^5-24*x^4+36*x^3-36*x^2+72*x-36)/(3*x^9+3*x^8+6*x^7+7*x^6-54*x^4+72*x^3-108*x^2+108*x-36) egf] A356633 4.84191 [(x^9-11*x^6-12*x^5-24*x^4+36*x^3-36*x^2+72*x-36)/(3*x^9+3*x^8+6*x^7+7*x^6-54*x^4+72*x^3-108*x^2+108*x-36) egf] A356634 4.8145 [-(x^8+24*x^6+12*x^5-36*x^4+288*x^2-576*x+288)/(x-1)/(x^10+x^9+x^8+36*x^6-36*x^4+288*x^2-576*x+288) egf] A356634 5.07651 [-(x^8+24*x^6+12*x^5-36*x^4+288*x^2-576*x+288)/(x-1)/(x^10+x^9+x^8+36*x^6-36*x^4+288*x^2-576*x+288) egf] A356644 8.41675 [x^2*(8*x^4-35*x^3+48*x^2-12*x-3)/(4*x-1)/(x-1)^2/(x^2-3*x+1)^2 ogf] A356644 9.18191 [x^2*(8*x^4-35*x^3+48*x^2-12*x-3)/(-1+4*x)/(x-1)^2/(x^2-3*x+1)^2 ogf] A356669 2.81427 [(f(x)-1)^2 ogf] A356684 4.14962 [{-a(n+2)*n+a(n+1)*n+a(n+3)-3*a(n+2)+4*a(n+1),a(0)=-1,a(1)=-1,a(2)=1} ogf] A356695 11.1506 [(x^5-3*x^4-7*x^3+x+1)/(3*x^5-9*x^3-2*x^2+1) ogf] A356695 5.12929 [{-a(n+6)+2*a(n+4)+9*a(n+3)-3*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=4,a(4)=10,a(5)=24} ogf] A356695 9.99212 [(x^5-3*x^4-7*x^3+x+1)/(3*x^5-9*x^3-2*x^2+1) ogf] A356696 3.89991 [{-a(n+6)+8*a(n+5)-25*a(n+4)+39*a(n+3)-32*a(n+2)+13*a(n+1)-2*a(n),a(0)=2,a(1)=1,a(2)=1,a(3)=2,a(4)=5,a(5)=14} ogf] A356696 7.39125 [-(9*x^5-39*x^4+59*x^3-43*x^2+15*x-2)/(2*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A356696 8.00084 [-(9*x^5-39*x^4+59*x^3-43*x^2+15*x-2)/(2*x-1)/(x^2-3*x+1)/(x-1)^3 ogf] A356697 3.90444 [{a(n+6)-a(n+5)-3*a(n+4)-9*a(n+3)+7*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=13,a(5)=36} ogf] A356697 7.80887 [-(3*x^5-9*x^3-2*x^2+1)/(x-1)/(x^5-5*x^4-12*x^3-3*x^2+1) ogf] A356697 8.50299 [-(3*x^5-9*x^3-2*x^2+1)/(x-1)/(x^5-5*x^4-12*x^3-3*x^2+1) ogf] A356698 4.52911 [-(4*x^9-40*x^7-32*x^6-3*x^5+34*x^4+9*x^3+2*x^2-1)/(x^10-10*x^9-25*x^8+37*x^7+54*x^6+37*x^5-28*x^4-9*x^3-3*x^2-x+1) ogf] A356698 4.7514 [-(4*x^9-40*x^7-32*x^6-3*x^5+34*x^4+9*x^3+2*x^2-1)/(x^10-10*x^9-25*x^8+37*x^7+54*x^6+37*x^5-28*x^4-9*x^3-3*x^2-x+1) ogf] A356714 11.187 [-x^5*(2*x^4+2*x^3-5*x^2+x-4)/(x-1)^2 ogf] A356714 7.24612 [-(-4*x^4+6*x^3+6*x^2-9*x-7)/(2*x^5-7*x^3+6*x^2-5*x+4) lgdogf] A356714 9.81015 [-x^5*(2*x^4+2*x^3-5*x^2+x-4)/(x-1)^2 ogf] A356716 4.6746 [{-a(n+5)+a(n+4)+7*a(n+3)-7*a(n+2)-a(n+1)+a(n),a(0)=5,a(1)=19,a(2)=31,a(3)=101,a(4)=179} ogf] A356716 7.94682 [(x^4+28*x^3+23*x^2-14*x-5)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A356716 8.63785 [(x^4+28*x^3+23*x^2-14*x-5)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A356717 4.54748 [{a(n+5)-a(n+4)-7*a(n+3)+7*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=29,a(2)=59,a(3)=241,a(4)=445} ogf] A356717 7.73071 [(5*x^4+14*x^3-23*x^2-28*x-1)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A356717 8.40295 [(5*x^4+14*x^3-23*x^2-28*x-1)/(x-1)/(x^2+3*x+1)/(x^2-3*x+1) ogf] A356728 10.8303 [-(3*x^3-x^2+x-1)/(2*x-1)/(x-1)^3 ogf] A356728 12.3503 [-(3*x^3-x^2+x-1)/(2*x-1)/(x-1)^3 ogf] A356728 4.95752 [-(f(x)+15)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+3*x^3-5*f(x)*x-x^2+f(x)+x-1) ogf] A356728 5.17623 [{a(n+4)-5*a(n+3)+9*a(n+2)-7*a(n+1)+2*a(n),a(0)=1,a(1)=4,a(2)=12,a(3)=28} ogf] A356728 7.25740 [-(6*x^4+8*x^3-4*x^2-8*x+4)/(6*x^5-11*x^4+8*x^3-6*x^2+4*x-1) lgdogf] A356768 11.1913 [-6*x*(4*x^4+35*x^3+59*x^2+21*x+1)/(x-1)^7 ogf] A356768 12.6835 [-6*x*(4*x^4+35*x^3+59*x^2+21*x+1)/(x-1)^7 ogf] A356768 7.04639 [-(12*x^4+156*x^3+400*x^2+244*x+28)/(4*x^5+31*x^4+24*x^3-38*x^2-20*x-1) lgdogf] A356800 6.19779 [-2/(x-1) lgdogf] A356807 4.51081 [(154*f(x)+283)*(f(x)*x^4+f(x)*x^3+f(x)*x^2+2*x^3+f(x)*x+2*x^2-f(x)+4*x+3) ogf] A356807 4.67665 [{a(n+4)-a(n+3)-a(n+2)-a(n+1)-a(n),a(0)=3,a(1)=7,a(2)=12,a(3)=24} ogf] A356807 8.26005 [-(2*x^3+2*x^2+4*x+3)/(x^4+x^3+x^2+x-1) ogf] A356807 9.21774 [-(2*x^3+2*x^2+4*x+3)/(x^4+x^3+x^2+x-1) ogf] A356812 11.8674 [exp(2*x)*(exp(-2*x)-2*x-1) lgdegf] A356812 13.8453 [1+(-2*x-1)*exp(2*x) lgdegf] A356813 11.6344 [exp(3*x)*(exp(-3*x)-3*x-1) lgdegf] A356813 13.5735 [1+(-3*x-1)*exp(3*x) lgdegf] A356815 11.7058 [-exp(2*x)*(exp(-2*x)+2*x+1) lgdegf] A356815 14.6323 [-1+(-2*x-1)*exp(2*x) lgdegf] A356816 12.0035 [-exp(3*x)*(exp(-3*x)+3*x+1) lgdegf] A356816 15.0044 [-1+(-3*x-1)*exp(3*x) lgdegf] A356818 11.9558 [-exp(x)*(exp(-x)+x+1) lgdegf] A356818 15.2165 [-1-exp(x)*(x+1) lgdegf] A356819 14.5419 [-exp(2*x)*(1+2*x) lgdegf] A356819 15.9961 [(-2*x-1)*exp(2*x) lgdegf] A356820 14.9458 [-exp(3*x)*(3*x+1) lgdegf] A356820 16.4404 [(-3*x-1)*exp(3*x) lgdegf] A356827 16.177 [exp(3*x)*(3*x+1) lgdegf] A356827 16.1770 [exp(3*x)*(3*x+1) lgdegf] A356828 10.3621 [x*(x+2)*(3*x+1)/(-1+4*x)/(x^2+2*x-1)/(x-1)^2 ogf] A356828 4.44962 [{-a(n+5)+8*a(n+4)-20*a(n+3)+16*a(n+2)+a(n+1)-4*a(n),a(0)=0,a(1)=2,a(2)=23,a(3)=147,a(4)=748} ogf] A356828 9.33871 [x*(x+2)*(3*x+1)/(4*x-1)/(x^2+2*x-1)/(x-1)^2 ogf] A356829 7.58735 [2*x^2*(2*x^4-5*x^3+14*x^2-x-4)/(4*x-1)/(x-1)^2/(x^2+2*x-1)^2 ogf] A356829 8.26178 [2*x^2*(2*x^4-5*x^3+14*x^2-x-4)/(-1+4*x)/(x-1)^2/(x^2+2*x-1)^2 ogf] A356830 6.94443 [2*x*(6*x^5+10*x^4+18*x^3-19*x^2+4*x-1)/(4*x-1)/(x-1)^2/(x^2+2*x-1)^2 ogf] A356830 7.49998 [2*x*(6*x^5+10*x^4+18*x^3-19*x^2+4*x-1)/(-1+4*x)/(x-1)^2/(x^2+2*x-1)^2 ogf] A356836 11.4876 [-(12*x^2-36*x+12)/(x^4-8*x^3+8*x-1) lgdogf] A356836 13.503 [-(x+1)^3/(x-1)/(x^2-8*x+1) ogf] A356836 15.7075 [-(x+1)^3/(x-1)/(x^2-8*x+1) ogf] A356836 5.96643 [{a(n+4)-9*a(n+3)+9*a(n+2)-a(n+1),a(0)=1,a(1)=12,a(2)=102,a(3)=812} ogf] A356836 6.30877 [(-74+371*f(x))*(f(x)*x^3-9*f(x)*x^2+x^3+9*f(x)*x+3*x^2-f(x)+3*x+1) ogf] A356837 5.04109 [-(x+1)*(x^6+6*x^5+5*x^4+18*x^3+5*x^2+6*x+1)/(x-1)/(x^6-12*x^5-x^4-30*x^3-x^2-12*x+1) ogf] A356837 5.33546 [-(x+1)*(x^6+6*x^5+5*x^4+18*x^3+5*x^2+6*x+1)/(x-1)/(x^6-12*x^5-x^4-30*x^3-x^2-12*x+1) ogf] A356849 13.4856 [-(3*x^2+x+1)/(3*x^3-x^2+x-1) ogf] A356849 15.5211 [-(3*x^2+x+1)/(3*x^3-x^2+x-1) ogf] A356849 7.09155 [-(11*f(x)-3)*(3*f(x)*x^3-f(x)*x^2+f(x)*x+3*x^2-f(x)+x+1) ogf] A356849 7.90981 [{a(n+3)-a(n+2)+a(n+1)-3*a(n),a(0)=1,a(1)=2,a(2)=4} ogf] A356849 9.79310 [-(9*x^4+6*x^3+5*x^2+4*x+2)/(9*x^5+5*x^3-3*x^2-1) lgdogf] A356852 4.70503 [-(x^4+x^3+x^2+x+1)*(x^45+2*x^10+4*x^5+2)/(2*x^50-x^45+2*x^10-2) ogf] A356852 5.04721 [-(x^4+x^3+x^2+x+1)*(x^45+2*x^10+4*x^5+2)/(2*x^50-x^45+2*x^10-2) ogf] A356852 8.67491 [(4*x^5-5*x^4-1)/(x^6-x^5+x-1) lgdogf] A356858 6.76176 [(19*x^12-565*x^8+960*x^4-350)/(19*x^12+443*x^9-565*x^8-890*x^5+960*x^4+350*x-350) egf] A356858 7.26731 [(19*x^12-565*x^8+960*x^4-350)/(19*x^12+443*x^9-565*x^8-890*x^5+960*x^4+350*x-350) egf] A356880 11.7564 [(32*f(x)-47)*(4*f(x)*x^2-f(x)+9*x+4) ogf] A356880 11.9293 [-(36*x^2+32*x+9)/(36*x^3+16*x^2-9*x-4) lgdogf] A356880 14.4855 [{a(n+2)-4*a(n),a(0)=4,a(1)=9} ogf] A356880 16.5549 [-(9*x+4)/(2*x-1)/(1+2*x) ogf] A356880 19.7851 [-(9*x+4)/(2*x-1)/(2*x+1) ogf] A356888 12.6870 [-(12*x^2+3)/(12*x^3-12*x^2+5*x-1) lgdogf] A356888 17.7618 [-(6*x^2-3*x+1)/(2*x-1)^3 ogf] A356888 21.6022 [-(6*x^2-3*x+1)/(2*x-1)^3 ogf] A356888 6.66068 [-(248*f(x)-113)*(8*f(x)*x^3-12*f(x)*x^2+6*f(x)*x+6*x^2-f(x)-3*x+1) ogf] A356888 7.54039 [{a(n+3)-6*a(n+2)+12*a(n+1)-8*a(n),a(0)=1,a(1)=3,a(2)=12} ogf] A356889 11.6212 [-(8*x^3-32*x^2+18*x-3)/(x-1)/(4*x-1)^3 ogf] A356889 13.197 [-(8*x^3-32*x^2+18*x-3)/(x-1)/(-1+4*x)^3 ogf] A356889 5.02338 [(428382*f(x)+1427287)*(64*f(x)*x^4-112*f(x)*x^3+60*f(x)*x^2+8*x^3-13*f(x)*x-32*x^2+f(x)+18*x-3) ogf] A356889 5.40711 [{-a(n+4)+13*a(n+3)-60*a(n+2)+112*a(n+1)-64*a(n),a(0)=3,a(1)=21,a(2)=125,a(3)=693} ogf] A356889 6.95198 [-(32*x^4-240*x^3+288*x^2-128*x+21)/(32*x^5-168*x^4+240*x^3-134*x^2+33*x-3) lgdogf] A356901 3.35627 [{4*a(n)*n^3+4*a(n+1)*n^2+4*a(n)*n^2+a(n+2)*n+8*a(n+1)*n+a(n)*n+2*a(n+2)+4*a(n+1),a(0)=0,a(1)=1} egf] A356929 8.0721 [(x^11-x^10+x^6+x^5+x+1)/(x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A356929 8.67562 [(x^11-x^10+x^6+x^5+x+1)/(x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A356944 3.19033 [(x^2+x+1)*(x^2-x+1)*(x^24-x^20+x^18-x^14+x^12+x^7+x^6+x+1)/(x^2+1)/(x^24-x^22+x^20-x^18+x^16-x^14+x^12+x^9+x^8+x^5+x^4+x+1)/(x-1)^2 ogf] A356944 3.29283 [(x^2+x+1)*(x^2-x+1)*(x^24-x^20+x^18-x^14+x^12+x^7+x^6+x+1)/(x^2+1)/(x^24-x^22+x^20-x^18+x^16-x^14+x^12+x^9+x^8+x^5+x^4+x+1)/(x-1)^2 ogf] A356948 4.19944 [-(7*x^2+2*x+7)/(7*x^3+x^2-7*x-1) lgdogf] A356964 5.24079 [-x*(25*x^32-44*x^31+16*x^24-15*x^23+22*x^16-17*x^15+9*x^8-8*x^7+8)/(19*x^32-x^24-5*x^16-x^8-8)/(x-1)^2 ogf] A356964 5.52217 [-x*(25*x^32-44*x^31+16*x^24-15*x^23+22*x^16-17*x^15+9*x^8-8*x^7+8)/(19*x^32-x^24-5*x^16-x^8-8)/(x-1)^2 ogf] A356976 11.739 [-(162*x^27+20*x^14+22*x^12+12*x^9+8*x^7+4*x^6+8*x^4+4*x^3+2*x+1)/(x-1) ogf] A356976 12.6688 [-(162*x^27+20*x^14+22*x^12+12*x^9+8*x^7+4*x^6+8*x^4+4*x^3+2*x+1)/(x-1) ogf] A357042 15.9537 [-(5*x^3+27*x^2+15*x+1)/(x-1)^5 ogf] A357042 18.6692 [-(5*x^3+27*x^2+15*x+1)/(x-1)^5 ogf] A357042 5.04283 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=20,a(2)=117,a(3)=400,a(4)=1025} ogf] A357042 9.97107 [-(10*x^3+96*x^2+114*x+20)/(5*x^4+22*x^3-12*x^2-14*x-1) lgdogf] A357130 10.1124 [(1664*f(x)+8523)*(f(x)*x^3-f(x)*x^2-f(x)*x-x^2+f(x)+x-4) ogf] A357130 11.3764 [{a(n+3)-a(n+2)-a(n+1)+a(n),a(0)=4,a(1)=3,a(2)=8} ogf] A357130 14.6068 [-(x^3-x^2+13*x+3)/(x^4-x^3+3*x^2+x-4) lgdogf] A357130 22.3235 [(x^2-x+4)/(x+1)/(x-1)^2 ogf] A357130 26.2922 [(x^2-x+4)/(x+1)/(x-1)^2 ogf] A357149 4.26268 [-(31*x^35+31*x^33+31*x^31+31*x^30+31*x^29+31*x^28+31*x^27+31*x^26-36*x^23-6*x^9-6*x^7-6*x^5-6*x^4-6*x^3-6*x^2-6*x-6)/(x-1)/(31*x^26-6) ogf] A357149 4.44701 [-(31*x^35+31*x^33+31*x^31+31*x^30+31*x^29+31*x^28+31*x^27+31*x^26-36*x^23-6*x^9-6*x^7-6*x^5-6*x^4-6*x^3-6*x^2-6*x-6)/(x-1)/(31*x^26-6) ogf] A357178 13.0035 [x*(x^4+20*x^3+48*x^2+20*x+1)/(x-1)^6 ogf] A357178 14.8611 [x*(x^4+20*x^3+48*x^2+20*x+1)/(x-1)^6 ogf] A357178 4.07952 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=26,a(3)=189,a(4)=784,a(5)=2375} ogf] A357178 7.85114 [-(2*x^4+64*x^3+252*x^2+196*x+26)/(x^5+19*x^4+28*x^3-28*x^2-19*x-1) lgdogf] A357179 29.1769 [1/(x^2+x-1) ogf_with_Euler_transform] A357242 10.6952 [-(35*x^2-40*x-30)/(7*x^3-16*x^2+6*x+3) lgdegf] A357242 16.1617 [8*(7*x^2-9*x-3)/(x-1)^7 egf] A357242 19.6561 [8*(7*x^2-9*x-3)/(x-1)^7 egf] A357257 4.72971 [40/9*(x^9-9*x^8+36*x^7-84*x^6+126*x^5-126*x^4+108*x^3+108*x^2-162*x-54)/(x-1)^9 egf] A357281 11.877 [-(7*x^4+40*x^3+44*x^2+4*x+1)/(x-1)^5 ogf] A357281 13.6046 [-(7*x^4+40*x^3+44*x^2+4*x+1)/(x-1)^5 ogf] A357281 4.35031 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=9,a(2)=79,a(3)=355,a(4)=1077} ogf] A357281 7.19474 [-(7*x^4+108*x^3+252*x^2+104*x+9)/(7*x^5+33*x^4+4*x^3-40*x^2-3*x-1) lgdogf] A357282 11.2844 [-x^2*(3*x^2-1)/(x+1)/(2*x-1)/(x-1)^3 ogf] A357282 12.7643 [-x^2*(3*x^2-1)/(x+1)/(2*x-1)/(x-1)^3 ogf] A357282 4.8063 [{a(n+5)-4*a(n+4)+4*a(n+3)+2*a(n+2)-5*a(n+1)+2*a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=4,a(4)=9} ogf] A357282 7.94512 [-(18*x^4+6*x^3-10*x^2-6*x+4)/(6*x^5-3*x^4-8*x^3+4*x^2+2*x-1) lgdogf] A357283 10.2932 [-(20*x^3-20*x^2-2*x+4)/(4*x^4-6*x^3+3*x-1) lgdogf] A357283 13.3631 [2*x^4/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A357283 15.5448 [2*x^4/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A357283 4.73102 [{a(n+5)-4*a(n+4)+3*a(n+3)+6*a(n+2)-10*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=2} ogf] A357283 6.45503 [-4*f(x)*x^5+10*f(x)*x^4-6*f(x)*x^3+2*x^4-3*f(x)*x^2+4*f(x)*x-f(x) ogf] A357284 10.5219 [-(20*x^3-20*x^2-2*x+4)/(4*x^4-6*x^3+3*x-1) lgdogf] A357284 14.691 [x^4/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A357284 17.3027 [x^4/(2*x-1)/(2*x^2-1)/(x-1)^2 ogf] A357284 4.83616 [{a(n+5)-4*a(n+4)+3*a(n+3)+6*a(n+2)-10*a(n+1)+4*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A357284 6.59849 [-4*f(x)*x^5+10*f(x)*x^4-6*f(x)*x^3+x^4-3*f(x)*x^2+4*f(x)*x-f(x) ogf] A357285 10.7147 [-8*x^7/(2*x-1)/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357285 12.0335 [-8*x^7/(2*x-1)/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357285 6.57292 [-(128*x^6-152*x^5-8*x^4+32*x^3+8*x^2+2*x-4)/(16*x^7-24*x^6+8*x^4+2*x^3-3*x+1) lgdogf] A357286 10.7338 [-x^7/(2*x-1)/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357286 12.0549 [-x^7/(2*x-1)/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357286 6.58462 [-(128*x^6-152*x^5-8*x^4+32*x^3+8*x^2+2*x-4)/(16*x^7-24*x^6+8*x^4+2*x^3-3*x+1) lgdogf] A357287 12.7324 [4*x^6/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357287 14.6542 [4*x^6/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357287 6.75370 [-(56*x^5-40*x^4-20*x^3+4*x^2+4*x+2)/(8*x^6-8*x^5-4*x^4+2*x^3+2*x^2+x-1) lgdogf] A357288 13.1376 [x^6/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357288 15.2825 [x^6/(2*x^2-1)/(4*x^3-1)/(x-1)^2 ogf] A357288 6.51168 [-(56*x^5-40*x^4-20*x^3+4*x^2+4*x+2)/(8*x^6-8*x^5-4*x^4+2*x^3+2*x^2+x-1) lgdogf] A357289 10.8062 [x^3*(4*x^4+4*x^3-2*x^2-2*x-1)/(2*x^2-1)/(4*x^3-1)/(x-1)^3 ogf] A357289 9.87668 [x^3*(4*x^4+4*x^3-2*x^2-2*x-1)/(2*x^2-1)/(4*x^3-1)/(x-1)^3 ogf] A357290 7.85251 [x^3*(x^3+x^2+2*x+1)/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^3 ogf] A357290 8.55836 [x^3*(x^3+x^2+2*x+1)/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^3 ogf] A357291 10.9374 [x^6/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^3 ogf] A357291 12.3718 [x^6/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^3 ogf] A357291 7.70084 [-(14*x^4+10*x^3+x^2-4*x-3)/(2*x^5+x^4-x^3-2*x^2-x+1) lgdogf] A357292 10.437 [-x^5/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A357292 11.7216 [-x^5/(x+1)/(2*x-1)/(x^2+x+1)/(x-1)^2 ogf] A357292 4.03124 [{a(n+6)-2*a(n+5)-a(n+4)+a(n+3)+2*a(n+2)+a(n+1)-2*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=0,a(5)=1} ogf] A357292 7.85468 [-(12*x^4+7*x^3-x^2-4*x-2)/(2*x^5+x^4-x^3-2*x^2-x+1) lgdogf] A357307 12.8999 [f(x)^2*x^3+f(x)*x+x^2-f(x)-x+1 ogf] A357308 14.7433 [-f(x)^2*x^3-f(x)*x-x^2+f(x) ogf] A357384 6.52516 [(x^18+x^7-1)/(x^22-x^21-x^19-x^18-x^14+2*x^11-x^10-x^8+2*x^7-x^4+x^3+x-1) ogf] A357384 6.91765 [(x^18+x^7-1)/(x^22-x^21-x^19-x^18-x^14+2*x^11-x^10-x^8+2*x^7-x^4+x^3+x-1) ogf] A357392 14.9117 [-exp(-3*x)+exp(-2*x) revegf] A357393 16.0941 [exp(-3*x)-exp(-4*x) revegf] A357394 13.7754 [exp(-2*x)*ln(x+1) revegf] A357395 15.0668 [exp(-3*x)*ln(x+1) revegf] A357451 3.42087 [(x^4-x^3+x^2-x+1)*(x^13+x^12-x^10-x^9-x^8-x^7+x^5+x^4+x^3-x-1)/(x^17+x^15-x^14+2*x^13+x^8+x^7-x^6-x^5+x^3+x^2+x-1) ogf] A357451 3.54526 [(x^4-x^3+x^2-x+1)*(x^13+x^12-x^10-x^9-x^8-x^7+x^5+x^4+x^3-x-1)/(x^17+x^15-x^14+2*x^13+x^8+x^7-x^6-x^5+x^3+x^2+x-1) ogf] A357453 3.48079 [(x^18-x^16+x^15-x^14-x^11+x^9-x^8-x^4+x^2-x+1)/(3*x^18-2*x^17+x^16+2*x^15-x^14+3*x^12-2*x^11-x^10+3*x^9-x^8+2*x^5-3*x^4+x^2-2*x+1) ogf] A357453 3.61092 [(x^18-x^16+x^15-x^14-x^11+x^9-x^8-x^4+x^2-x+1)/(3*x^18-2*x^17+x^16+2*x^15-x^14+3*x^12-2*x^11-x^10+3*x^9-x^8+2*x^5-3*x^4+x^2-2*x+1) ogf] A357455 4.28852 [(x^19-x^17-2*x^15-x^11+x^9+x^7-x^4+x^2+2)/(5*x^19-2*x^15+2*x^12-3*x^11-2*x^10-2*x^8+x^7+x^5-4*x^4-x^3-x^2-2*x+2) ogf] A357455 4.47703 [(x^19-x^17-2*x^15-x^11+x^9+x^7-x^4+x^2+2)/(5*x^19-2*x^15+2*x^12-3*x^11-2*x^10-2*x^8+x^7+x^5-4*x^4-x^3-x^2-2*x+2) ogf] A357475 8.88087 [(x-1)*(x+1)*(x^2-x+1)/(x^2+x-1)/(x^4+x^2-1) ogf_with_Euler_transform] A357479 17.7155 [-(-x+2)/(x-1) lgdegf] A357479 3.29591 [{-a(n+1)*n^2+a(n+2)*n^2-5*a(n+1)*n-a(n+3)*n+4*a(n+2)*n-6*a(n+1)+3*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=1} ogf] A357480 18.6710 [-(-x+2)/(x-1) lgdegf] A357480 3.30461 [{a(n+1)*n^2-a(n+2)*n^2+5*a(n+1)*n+a(n+3)*n-3*a(n+2)*n+6*a(n+1)-a(n+3),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1} ogf] A357484 10.5758 [-(x^2-x-1)/(2*x-1)/(2*x^3-9*x^2+11*x-1) ogf] A357484 4.88116 [{-a(n+4)+13*a(n+3)-31*a(n+2)+20*a(n+1)-4*a(n),a(0)=1,a(1)=14,a(2)=150,a(3)=1536} ogf] A357484 4.98575 [-(977*f(x)-411)*(4*f(x)*x^4-20*f(x)*x^3+31*f(x)*x^2-13*f(x)*x+x^2+f(x)-x-1) ogf] A357484 9.43251 [-(x^2-x-1)/(2*x-1)/(2*x^3-9*x^2+11*x-1) ogf] A357553 7.56838 [-x^2*(x^6+2*x^5+3*x^4+7*x^3+3*x^2+2*x+2)/(x+1)/(x^2+x-1)/(x^4+3*x^2+1) ogf] A357553 8.08588 [-x^2*(x^6+2*x^5+3*x^4+7*x^3+3*x^2+2*x+2)/(x+1)/(x^2+x-1)/(x^4+3*x^2+1) ogf] A357570 4.0845 [{a(n+2)*n-a(n+1)*n+9*a(n+6)-4*a(n+5)+7*a(n+2)-6*a(n+1)-5*a(n+7),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=2,a(6)=3} ogf] A357599 10.5095 [1/4*x*(x+2)*(x^2+2*x+2)/(x+1)^2 egf] A357599 11.9846 [1/4*x*(x+2)*(x^2+2*x+2)/(x+1)^2 egf] A357599 8.23037 [-x^4+4*f(x)*x^2-4*x^3+8*f(x)*x-6*x^2+4*f(x)-4*x egf] A357599 8.33073 [-(-x^3-3*x^2-2*x+2)/(x^4+5*x^3+10*x^2+10*x+4) lgdegf] A357654 8.81543 [-f(x)^2*x^4-f(x)^2*x^3+f(x)^2*x^2-2*f(x)*x^2+f(x)-1 ogf] A357693 15.6775 [cos(2^(1/2)*ln(x+1)) egf] A357703 4.52545 [1/2*((x-1)^(3^(1/2))*(-1)^(-3^(1/2))+(x-1)^(-3^(1/2))*(-1)^(3^(1/2)))/((-1)^(3^(1/2)))/((-1)^(-3^(1/2))) egf] A357711 10.8424 [1/2*(x^4-4*x^3+6*x^2-4*x+2)/(x-1)^2 egf] A357711 12.3642 [1/2*(x^4-4*x^3+6*x^2-4*x+2)/(x-1)^2 egf] A357711 6.23679 [-(f(x)+3)*(-x^4+2*f(x)*x^2+4*x^3-4*f(x)*x-6*x^2+2*f(x)+4*x-2) egf] A357711 7.41849 [-(-2*x^4+8*x^3-12*x^2+8*x)/(x^5-5*x^4+10*x^3-10*x^2+6*x-2) lgdegf] A357718 14.3312 [cos(3^(1/2)*ln(x+1)) egf] A357719 17.8594 [cos(2*ln(x+1)) egf] A357723 12.1938 [x^3*(3*x^3-11*x^2-11*x-5)/(x+1)^3/(x-1)^5 ogf] A357723 13.8472 [x^3*(3*x^3-11*x^2-11*x-5)/(x+1)^3/(x-1)^5 ogf] A357723 7.85562 [-(15*x^4-60*x^3-90*x^2-84*x-21)/(3*x^5-11*x^4-14*x^3+6*x^2+11*x+5) lgdogf] A357733 5.13165 [(x+1)*(x^6+x^5+77*x^4-194*x^3+77*x^2+x+1)/(x^2-4*x+1)/(x^2+4*x+1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A357733 5.40352 [(x+1)*(x^6+x^5+77*x^4-194*x^3+77*x^2+x+1)/(x^2-4*x+1)/(x^2+4*x+1)/(x^2-14*x+1)/(x^2+14*x+1) ogf] A357740 10.4957 [x^2*(2*x^5+5*x^4+2*x^3-44*x^2-44*x-17)/(x+1)^3/(x-1)^5 ogf] A357740 11.6006 [x^2*(2*x^5+5*x^4+2*x^3-44*x^2-44*x-17)/(x+1)^3/(x-1)^5 ogf] A357745 10.236 [-(x^9-x^8+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A357745 9.35547 [-(x^9-x^8+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A357759 32.8954 [-2/(x-1) lgdogf] A357770 5.36757 [1/2*HeunG(1/9,1/3,1,1,1,1,2*x)+1/2 ogf] A357771 8.87989 [HeunG(1/9,1/3,1,1,1,1,2*x) ogf] A357778 10.1252 [-(-2*x^4+3*x^3+3*x^2+3*x+3)/(x^5-1) lgdogf] A357778 11.2871 [x*(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A357778 12.9909 [x*(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A357778 5.25585 [{-a(n+6)+2*a(n+5)-a(n+4),a(0)=0,a(1)=1,a(2)=3,a(3)=6,a(4)=10,a(5)=15} ogf] A357779 10.0919 [x*(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)^2 ogf] A357779 4.8357 [{a(n+7)-2*a(n+6)+a(n+5),a(0)=0,a(1)=1,a(2)=3,a(3)=6,a(4)=10,a(5)=15,a(6)=21} ogf] A357779 9.04338 [x*(x+1)*(x^2+x+1)*(x^2-x+1)/(x-1)^2 ogf] A357779 9.16237 [-(-3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x^6-1) lgdogf] A357815 5.3839 [-x*(x^17-x^13-x^9-x^8+x^7+x^5+x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A357815 5.74584 [-x*(x^17-x^13-x^9-x^8+x^7+x^5+x^3-x^2-x-1)/(x^2+x+1)/(x-1)^2 ogf] A357827 5.1453 [2*(1920*x^5-2880*x^4+1432*x^3-228*x^2-6*x-1)/(2*x-1)^3 egf] A357827 5.71699 [2*(1920*x^5-2880*x^4+1432*x^3-228*x^2-6*x-1)/(2*x-1)^3 egf] A357834 5.51161 [1/3*(x*(x+1)^(1/2)+(x+1)^(1/2)+2*cos(1/2*3^(1/2)*ln(x+1)))/(x+1)^(1/2) egf] A357835 3.62175 [1/3*(x*(x+1)^(1/2)+sin(1/2*3^(1/2)*ln(x+1))*3^(1/2)+(x+1)^(1/2)-cos(1/2*3^(1/2)*ln(x+1)))/(x+1)^(1/2) egf] A357836 3.60498 [1/3*(x*(x+1)^(1/2)-sin(1/2*3^(1/2)*ln(x+1))*3^(1/2)+(x+1)^(1/2)-cos(1/2*3^(1/2)*ln(x+1)))/(x+1)^(1/2) egf] A357837 10.9232 [2*x*(x^3-2*x^2-x-2)/(x^2+x+1)/(x-1)^3 ogf] A357837 12.1896 [2*x*(x^3-2*x^2-x-2)/(x^2+x+1)/(x-1)^3 ogf] A357837 5.06678 [{-a(n+5)+2*a(n+4)-a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=4,a(2)=10,a(3)=20,a(4)=32} ogf] A357837 7.37793 [-(2*x^5-4*x^4-6*x^3-13*x^2-10*x-5)/(x^6-2*x^5-x^4-3*x^3+2*x^2+x+2) lgdogf] A357849 4.03939 [x^8*(x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A357849 4.22948 [x^8*(x+1)*(x^2-x+1)/(x^4+x^3+x^2+x+1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A357866 7.31304 [x^2*(2*x^5+x^4+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A357866 7.89229 [x^2*(2*x^5+x^4+x^2+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2/(x+1)^2 ogf] A357911 2.91795 [-(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^23+x^22-1)*(x^4-x^2+1)*(x-1)^2/(x^34-x^22+1) ogf] A357911 3.06295 [-(x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^23+x^22-1)*(x^4-x^2+1)*(x-1)^2/(x^34-x^22+1) ogf] A357911 4.65221 [1/(x-1)/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A357946 13.4713 [(2*x^4-2*x^3-5*x-1)/(x+1)^2/(x-1)^3 ogf] A357946 15.5047 [(2*x^4-2*x^3-5*x-1)/(x+1)^2/(x-1)^3 ogf] A357946 4.95031 [{a(n+5)-a(n+4)-2*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=6,a(2)=8,a(3)=20,a(4)=21} ogf] A357946 7.20835 [-(2*x^5-2*x^4+6*x^3-26*x^2-10*x-6)/(2*x^6-2*x^5-2*x^4-3*x^3-x^2+5*x+1) lgdogf] A357948 14.2404 [exp(-x^2)*(-2*x^2+1) lgdegf] A357964 11.7191 [(3*exp(x^3)*x^3-2*exp(x^3)+2)/x^3 lgdegf] A358012 6.03133 [{a(n+6)-a(n+5)-a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=3,a(4)=4,a(5)=1} ogf] A358012 8.30054 [-x*(3*x^4-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A358012 9.01456 [-x*(3*x^4-x^3-x^2-x-1)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A358027 4.67052 [{a(n+5)-a(n+4)-3*a(n+3)+3*a(n+2),a(0)=1,a(1)=2,a(2)=3,a(3)=6,a(4)=11} ogf] A358027 5.16017 [-(26*f(x)-5)*(3*f(x)*x^3-2*x^4-3*f(x)*x^2-f(x)*x+2*x^2+f(x)-x-1) ogf] A358027 5.42255 [-(-6*x^6+12*x^5-2*x^3+4*x^2-2*x-2)/(6*x^7-6*x^6-8*x^5+11*x^4+2*x^3-6*x^2+1) lgdogf] A358027 8.76522 [(x+1)*(2*x^3-2*x^2+1)/(x-1)/(3*x^2-1) ogf] A358027 9.84401 [(x+1)*(2*x^3-2*x^2+1)/(x-1)/(3*x^2-1) ogf] A358033 10.2671 [-(2*x^6+9*x^5+6*x^4+5*x^3+4*x^2+3*x+2)/(5*x^6-1) ogf] A358033 11.3922 [-(2*x^6+9*x^5+6*x^4+5*x^3+4*x^2+3*x+2)/(5*x^6-1) ogf] A358033 6.65306 [{a(n+7)-5*a(n+1),a(0)=2,a(1)=3,a(2)=4,a(3)=5,a(4)=6,a(5)=9,a(6)=12} ogf] A358035 16.1197 [(3*x^3-9*x^2+17*x+5)/(x-1)^4 ogf] A358035 19.1901 [(3*x^3-9*x^2+17*x+5)/(x-1)^4 ogf] A358035 5.55851 [(2612*f(x)+18415)*(f(x)*x^4-4*f(x)*x^3+6*f(x)*x^2-3*x^3-4*f(x)*x+9*x^2+f(x)-17*x-5) ogf] A358035 5.79844 [{-a(n+4)+4*a(n+3)-6*a(n+2)+4*a(n+1)-a(n),a(0)=5,a(1)=37,a(2)=109,a(3)=237} ogf] A358035 9.48215 [-(3*x^3-9*x^2+33*x+37)/(3*x^4-12*x^3+26*x^2-12*x-5) lgdogf] A358038 8.66295 [(x^29-x^28+x^25-x^24+x^15-x^14+x^8-x^7-1)/(x-1)^3 ogf] A358042 11.6559 [x*(x+1)*(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A358042 13.0905 [x*(x+1)*(x^2+1)/(x^2+x+1)/(x-1)^4 ogf] A358042 4.34124 [{-a(n+6)+3*a(n+5)-3*a(n+4)+2*a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=10,a(4)=21,a(5)=38} ogf] A358042 8.02720 [-(3*x^5+7*x^4+11*x^3+15*x^2+8*x+4)/(x^6+x^5+x^4-x^2-x-1) lgdogf] A358053 10.1758 [(28*f(x)+365)*(f(x)*x^2-2*f(x)*x+f(x)-x-13) ogf] A358053 11.9164 [{-a(n+2)+2*a(n+1)-a(n),a(0)=13,a(1)=27} ogf] A358053 17.7577 [-(x+27)/(x^2+12*x-13) lgdogf] A358053 26.6366 [(x+13)/(x-1)^2 ogf] A358053 34.8324 [(x+13)/(x-1)^2 ogf] A358063 14.8282 [exp(-x^3)*(-3*x^3+1) lgdegf] A358064 3.76781 [(x^10-25*x^8+300*x^6-2100*x^4+8400*x^2-15120)/(x^10+5*x^9-25*x^8+120*x^7+300*x^6+1260*x^5-2100*x^4+6720*x^3+8400*x^2+15120*x-15120) egf] A358064 3.94204 [(x^10-25*x^8+300*x^6-2100*x^4+8400*x^2-15120)/(x^10+5*x^9-25*x^8+120*x^7+300*x^6+1260*x^5-2100*x^4+6720*x^3+8400*x^2+15120*x-15120) egf] A358065 5.79528 [(x^9-12*x^6+60*x^3-120)/(x^10+x^9+12*x^7-12*x^6+60*x^4+60*x^3+120*x-120) egf] A358065 6.23265 [(x^9-12*x^6+60*x^3-120)/(x^10+x^9+12*x^7-12*x^6+60*x^4+60*x^3+120*x-120) egf] A358092 7.06238 [4*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x^2-f(x)^2-f(x)*x+x^2+f(x) ogf] A358092 8.22731 [-1/2*(-4*x^2+(-(x+1)*(-1+3*x))^(1/2)-x+1)/(4*x^2+2*x-1) ogf] A358108 9.24158 [-1/(-1+16*x)*LegendreP(-1/2,1/(-1+16*x)*(48*x-1)) ogf] A358109 10.1644 [hypergeom([-1/2,-1/2],[1,1],16*x)*exp(16*x) egf] A358113 10.7812 [-I/(-1+16*x)^(3/2)*LegendreP(1/2,-32*x+1) ogf] A358114 10.9922 [-512*f(x)^2*x^2+48*f(x)^2*x-f(x)^2+1 ogf] A358114 13.4349 [-(512*x-24)/(512*x^2-48*x+1) lgdogf] A358114 16.8717 [1/((32*x-1)*(-1+16*x))^(1/2) ogf] A358114 3.96439 [{-a(n+3)*n+48*a(n+2)*n-512*a(n+1)*n-3*a(n+3)+120*a(n+2)-1024*a(n+1),a(0)=1,a(1)=24,a(2)=608} ogf] A358115 10.1662 [I*LegendreP(-1/4,-128*x+1)^2/(64*x-1)^(1/2) ogf] A358117 7.16252 [-hypergeom([-1/2,-1/2,-1/2],[1,1],64*x/(64*x-1))/(64*x-1) ogf] A358185 13.1326 [I*(Pi+I*ln(x-1))*(x-1) egf] A358185 4.76883 [{-a(n+2)*n^2+a(n+1)*n^2+a(n+3)*n-4*a(n+2)*n+2*a(n+3)-2*a(n+2),a(0)=0,a(1)=-1,a(2)=1} ogf] A358241 11.8873 [(x^2+1)*(x^7-x^5+x^2-2*x-1)/(x-1) ogf] A358241 13.3503 [(x^2+1)*(x^7-x^5+x^2-2*x-1)/(x-1) ogf] A358243 10.8214 [(x^5+x^4+3*x^3+4*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A358243 12.0761 [(x^5+x^4+3*x^3+4*x^2+3*x+1)/(x+1)/(x-1)^2 ogf] A358243 5.5182 [{a(n+6)-a(n+5)-a(n+4)+a(n+3),a(0)=1,a(1)=4,a(2)=9,a(3)=15,a(4)=21,a(5)=28} ogf] A358243 7.24563 [-(-2*x^6+6*x^4+11*x^3+19*x^2+14*x+4)/(x^7+x^6+2*x^5+3*x^4-3*x^2-3*x-1) lgdogf] A358244 8.9216 [(x^7+x^6+3*x^5+4*x^4+9*x^3+6*x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A358244 9.76128 [(x^7+x^6+3*x^5+4*x^4+9*x^3+6*x^2+5*x+1)/(x+1)/(x-1)^2 ogf] A358245 8.01344 [(x^7+2*x^5+2*x^4+5*x^3+5*x^2+4*x+1)*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A358245 8.67434 [(x^7+2*x^5+2*x^4+5*x^3+5*x^2+4*x+1)*(x^2+x+1)/(x+1)/(x-1)^2 ogf] A358246 6.33469 [(x^11+x^10+3*x^9+4*x^8+9*x^7+12*x^6+23*x^5+22*x^4+25*x^3+14*x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A358246 6.74338 [(x^11+x^10+3*x^9+4*x^8+9*x^7+12*x^6+23*x^5+22*x^4+25*x^3+14*x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A358247 5.23416 [(x^13+x^12+3*x^11+4*x^10+9*x^9+12*x^8+23*x^7+31*x^6+42*x^5+41*x^4+36*x^3+19*x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A358247 5.52495 [(x^13+x^12+3*x^11+4*x^10+9*x^9+12*x^8+23*x^7+31*x^6+42*x^5+41*x^4+36*x^3+19*x^2+7*x+1)/(x+1)/(x-1)^2 ogf] A358248 4.87484 [(x^15+x^14+3*x^13+4*x^12+9*x^11+12*x^10+23*x^9+31*x^8+54*x^7+61*x^6+78*x^5+66*x^4+55*x^3+24*x^2+9*x+1)/(x+1)/(x-1)^2 ogf] A358248 5.11264 [(x^15+x^14+3*x^13+4*x^12+9*x^11+12*x^10+23*x^9+31*x^8+54*x^7+61*x^6+78*x^5+66*x^4+55*x^3+24*x^2+9*x+1)/(x+1)/(x-1)^2 ogf] A358249 4.20257 [(x^17+x^16+3*x^15+4*x^14+9*x^13+12*x^12+23*x^11+31*x^10+54*x^9+73*x^8+103*x^7+116*x^6+129*x^5+104*x^4+72*x^3+31*x^2+9*x+1)/(x+1)/(x-1)^2 ogf] A358249 4.3814 [(x^17+x^16+3*x^15+4*x^14+9*x^13+12*x^12+23*x^11+31*x^10+54*x^9+73*x^8+103*x^7+116*x^6+129*x^5+104*x^4+72*x^3+31*x^2+9*x+1)/(x+1)/(x-1)^2 ogf] A358265 5.44612 [(x^9-72*x^6+2160*x^3-25920)/(x^10+x^9+72*x^7-72*x^6+2160*x^4+2160*x^3+25920*x-25920) egf] A358265 5.81535 [(x^9-72*x^6+2160*x^3-25920)/(x^10+x^9+72*x^7-72*x^6+2160*x^4+2160*x^3+25920*x-25920) egf] A358296 12.3721 [-(3*x^4+2*x^3-22*x^2-30*x-13)/(3*x^5-2*x^4-12*x^3+9*x+2) lgdogf] A358296 18.6595 [(3*x^3-2*x^2-9*x-2)/(x+1)/(x-1)^3 ogf] A358296 21.476 [(3*x^3-2*x^2-9*x-2)/(x+1)/(x-1)^3 ogf] A358296 8.62294 [-(35350*f(x)-824081)*(f(x)*x^4-2*f(x)*x^3-3*x^3+2*f(x)*x+2*x^2-f(x)+9*x+2) ogf] A358296 9.56494 [{a(n+4)-2*a(n+3)+2*a(n+1)-a(n),a(0)=2,a(1)=13,a(2)=28,a(3)=49} ogf] A358306 10.9623 [-(4*x^4+5*x^3-13*x^2-28*x-10)/(2*x^5+x^4-7*x^3-6*x^2+5*x+5) lgdogf] A358306 16.6965 [x*(2*x^3+x^2-5*x-5)/(x+1)^2/(x-1)^3 ogf] A358306 19.0398 [x*(2*x^3+x^2-5*x-5)/(x+1)^2/(x-1)^3 ogf] A358306 6.53778 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=5,a(2)=10,a(3)=19,a(4)=27} ogf] A358341 5.49424 [-x*(72*x^10-420*x^9+1050*x^8-1467*x^7+1178*x^6-506*x^5+52*x^4+66*x^3-40*x^2+10*x-1)/(-1+3*x)/(2*x-1)^3/(x-1)^4 ogf] A358341 5.79123 [-x*(72*x^10-420*x^9+1050*x^8-1467*x^7+1178*x^6-506*x^5+52*x^4+66*x^3-40*x^2+10*x-1)/(-1+3*x)/(2*x-1)^3/(x-1)^4 ogf] A358348 6.91664 [(x+1)*(x^7+3*x^5+x^3+x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A358348 7.40631 [(x+1)*(x^7+3*x^5+x^3+x^2+2*x+1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A358362 11.03 [-2/Pi/(-1+16*x)*EllipticK(4*I*x^(1/2)) ogf] A358362 2.93202 [{-a(n+3)*n^2+256*a(n+1)*n^2-6*a(n+3)*n+16*a(n+2)*n+1280*a(n+1)*n-9*a(n+3)+44*a(n+2)+1600*a(n+1),a(0)=1,a(1)=12,a(2)=228} ogf] A358363 2.94444 [{-a(n+3)*n^2+256*a(n+1)*n^2-6*a(n+3)*n+48*a(n+2)*n+768*a(n+1)*n-9*a(n+3)+108*a(n+2)+576*a(n+1),a(0)=1,a(1)=12,a(2)=196} ogf] A358365 11.6812 [-2/Pi*EllipticK(4*x^(1/2))/(-1+16*x) ogf] A358367 12.7592 [432*f(x)^3*x^2-f(x)^3+3*f(x)-2 ogf] A358367 3.80773 [{-a(n+3)*n^2+432*a(n+1)*n^2-5*a(n+3)*n+1728*a(n+1)*n-6*a(n+3)+1680*a(n+1),a(0)=1,a(1)=12,a(2)=192} ogf] A358368 3.0797 [{a(n+2)*n^3-64*a(n+1)*n^3+9*a(n+2)*n^2-352*a(n+1)*n^2+27*a(n+2)*n-624*a(n+1)*n+27*a(n+2)-360*a(n+1),a(0)=1,a(1)=3} ogf] A358368 8.60062 [1/8*(-1+hypergeom([-1/2,-1/2,1/2],[1,1],64*x))/x ogf] A358369 19.816 [-(2*x+1)/(2*x^2-1) ogf_with_Euler_transform] A358439 14.4602 [-(50*x+85)/(50*x^2+35*x-4) lgdogf] A358439 22.1156 [(5*x+4)/(-1+10*x)^2 ogf] A358439 28.9203 [(5*x+4)/(10*x-1)^2 ogf] A358439 8.26295 [(36*f(x)+145)*(100*f(x)*x^2-20*f(x)*x+f(x)-5*x-4) ogf] A358439 9.64011 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=4,a(1)=85} ogf] A358449 36.2811 [1/(2*x+1) ogf_with_Euler_transform] A358474 8.77732 [x^8*(x^26-x^25+x^24+x^23+x^18-x^17-x^15+x^12+x^10-x^3+1)/(x-1)^2 ogf] A358474 9.39327 [x^8*(x^26-x^25+x^24+x^23+x^18-x^17-x^15+x^12+x^10-x^3+1)/(x-1)^2 ogf] A358475 9.29908 [x^9*(x^24-x^19+x^18+x^16-x^15+x^14-x^13+x^12-2*x^2+x+1)/(x-1)^2 ogf] A358475 9.98159 [x^9*(x^24-x^19+x^18+x^16-x^15+x^14-x^13+x^12-2*x^2+x+1)/(x-1)^2 ogf] A358479 8.80737 [-x^8*(x^26-x^25+x^24+x^23+x^18-x^17-x^15+x^12+x^10-x^3+1)/(x-1) ogf] A358479 9.40448 [-x^8*(x^26-x^25+x^24+x^23+x^18-x^17-x^15+x^12+x^10-x^3+1)/(x-1) ogf] A358480 10.2193 [-x^9*(x^24-x^19+x^18+x^16-x^15+x^14-x^13+x^12-2*x^2+x+1)/(x-1) ogf] A358480 9.54366 [-x^9*(x^24-x^19+x^18+x^16-x^15+x^14-x^13+x^12-2*x^2+x+1)/(x-1) ogf] A358498 3.89863 [{-a(n+4)*n+a(n+1)*n+a(n+5)-5*a(n+4)-a(n+2)+5*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=7,a(4)=25} ogf] A358499 3.62976 [{a(n+5)*n-a(n+1)*n+6*a(n+5)+a(n+2)-6*a(n+1)-a(n+6),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=25,a(5)=121} ogf] A358500 3.39558 [{a(n+1)*n-a(n+6)*n+a(n+7)-a(n+2)+7*a(n+1)-7*a(n+6),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=24,a(5)=121,a(6)=721} ogf] A358504 12.707 [(4*x-1)/(x-1)/(-1+6*x)/(2*x-1) ogf] A358504 14.7816 [(4*x-1)/(x-1)/(6*x-1)/(2*x-1) ogf] A358504 6.76915 [{a(n+3)-9*a(n+2)+20*a(n+1)-12*a(n),a(0)=1,a(1)=5,a(2)=25} ogf] A358504 6.83301 [(19*f(x)+6)*(12*f(x)*x^3-20*f(x)*x^2+9*f(x)*x-f(x)-4*x+1) ogf] A358504 8.23066 [-(96*x^3-116*x^2+40*x-5)/(48*x^4-92*x^3+56*x^2-13*x+1) lgdogf] A358518 7.30538 [-1/2*(-x^2+(x^4-4*x^3+6*x^2-8*x+1)^(1/2)+2*x-1)/x/(x-1)^2 ogf] A358554 2.53829 [(8*x^5+11*x^4+6*x^3-3*x^2-2*x-1)/(11*x^3-1) ogf] A358554 2.86061 [(8*x^5+11*x^4+6*x^3-3*x^2-2*x-1)/(11*x^3-1) ogf] A358587 11.2946 [x^4*(x^2-x+1)/(x+1)/(2*x-1)^2/(x-1)^2 ogf] A358587 12.7758 [x^4*(x^2-x+1)/(x+1)/(2*x-1)^2/(x-1)^2 ogf] A358587 4.03796 [{a(n+7)-5*a(n+6)+7*a(n+5)+a(n+4)-8*a(n+3)+4*a(n+2),a(0)=0,a(1)=0,a(2)=0,a(3)=0,a(4)=1,a(5)=4,a(6)=14} ogf] A358587 8.47093 [-(6*x^4-7*x^3+9*x^2-4)/(2*x^5-3*x^4+x^3+2*x^2-3*x+1) lgdogf] A358588 10.943 [-x^4*(x^2-x+1)/(x^2-3*x+1)^2/(x-1)^3 ogf] A358588 12.3781 [-x^4*(x^2-x+1)/(x^2-3*x+1)^2/(x-1)^3 ogf] A358588 7.62693 [-(5*x^4-17*x^3+23*x^2-22*x+8)/(x^5-5*x^4+9*x^3-9*x^2+5*x-1) lgdogf] A358591 6.27386 [-1/2*(-32*x^3-32*x^2+(-(4*x-1)*(2*x^2+16*x-3)^2)^(1/2)+22*x-3)/(x+2)/(4*x-1)^2 ogf] A358598 13.0149 [(5*x-1)/(x-1)/(8*x-1)/(2*x-1) ogf] A358598 15.1398 [(5*x-1)/(x-1)/(8*x-1)/(2*x-1) ogf] A358598 6.39526 [-(5157*f(x)+1768)*(16*f(x)*x^3-26*f(x)*x^2+11*f(x)*x-f(x)-5*x+1) ogf] A358598 6.86898 [{a(n+3)-11*a(n+2)+26*a(n+1)-16*a(n),a(0)=1,a(1)=6,a(2)=40} ogf] A358598 8.24278 [-(160*x^3-178*x^2+52*x-6)/(80*x^4-146*x^3+81*x^2-16*x+1) lgdogf] A358599 12.3356 [(-1+6*x)/(x-1)/(2*x-1)/(-1+10*x) ogf] A358599 14.3093 [(6*x-1)/(x-1)/(2*x-1)/(10*x-1) ogf] A358599 6.44561 [(2532*f(x)+895)*(20*f(x)*x^3-32*f(x)*x^2+13*f(x)*x-f(x)-6*x+1) ogf] A358599 6.62466 [{a(n+3)-13*a(n+2)+32*a(n+1)-20*a(n),a(0)=1,a(1)=7,a(2)=59} ogf] A358599 7.77676 [-(240*x^3-252*x^2+64*x-7)/(120*x^4-212*x^3+110*x^2-19*x+1) lgdogf] A358600 12.0862 [(7*x-1)/(x-1)/(2*x-1)/(12*x-1) ogf] A358600 14.02 [(7*x-1)/(x-1)/(2*x-1)/(12*x-1) ogf] A358600 6.04312 [-(8425*f(x)+3036)*(24*f(x)*x^3-38*f(x)*x^2+15*f(x)*x-f(x)-7*x+1) ogf] A358600 6.49075 [{a(n+3)-15*a(n+2)+38*a(n+1)-24*a(n),a(0)=1,a(1)=8,a(2)=82} ogf] A358600 7.61958 [-(336*x^3-338*x^2+76*x-8)/(168*x^4-290*x^3+143*x^2-22*x+1) lgdogf] A358601 11.3716 [(8*x-1)/(x-1)/(2*x-1)/(14*x-1) ogf] A358601 13.1911 [(8*x-1)/(x-1)/(2*x-1)/(14*x-1) ogf] A358601 5.63722 [-(17739*f(x)+6482)*(28*f(x)*x^3-44*f(x)*x^2+17*f(x)*x-f(x)-8*x+1) ogf] A358601 6.05096 [{a(n+3)-17*a(n+2)+44*a(n+1)-28*a(n),a(0)=1,a(1)=9,a(2)=109} ogf] A358601 7.16908 [-(448*x^3-436*x^2+88*x-9)/(224*x^4-380*x^3+180*x^2-25*x+1) lgdogf] A358606 3.54752 [{-a(n+2)*n+a(n+1)*n+9*a(n+6)-4*a(n+5)-7*a(n+2)+6*a(n+1)-5*a(n+7),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1,a(5)=0,a(6)=-1} ogf] A358607 4.1866 [{a(n+3)*n+a(n+1)*n-a(n+4)+4*a(n+3)-a(n+2)+4*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=5} ogf] A358608 3.89863 [{-a(n+4)*n-a(n+1)*n+a(n+5)-5*a(n+4)+a(n+2)-5*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=23} ogf] A358609 3.62976 [{a(n+5)*n+a(n+1)*n-a(n+6)+6*a(n+5)-a(n+2)+6*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=23,a(5)=119} ogf] A358611 3.39558 [{-a(n+6)*n-a(n+1)*n+a(n+7)-7*a(n+6)+a(n+2)-7*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=24,a(5)=119,a(6)=719} ogf] A358620 13.4198 [-(10*x-19)/(10*x^2-11*x+1) lgdogf] A358620 18.364 [-9*(x-1)/(-1+10*x)^2 ogf] A358620 23.2611 [-9*(x-1)/(10*x-1)^2 ogf] A358620 7.66848 [(20*f(x)+181)*(100*f(x)*x^2-20*f(x)*x+f(x)+9*x-9) ogf] A358620 8.83332 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=9,a(1)=171} ogf] A358632 3.4027 [(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A358632 3.75623 [(x^6+3*x^5+9*x^4+9*x^3+9*x^2+3*x+1)/(x+1)^2/(x-1)^4 ogf] A358655 11.1077 [-(5*x^7-16*x^6+15*x^5-4*x^3-5*x^2+2*x-1)/(x-1)^4 ogf] A358655 9.98289 [-(5*x^7-16*x^6+15*x^5-4*x^3-5*x^2+2*x-1)/(x-1)^4 ogf] A358682 13.129 [-(x^2+1)/(x-1)/(x^2-6*x+1) ogf] A358682 15.1107 [-(x^2+1)/(x-1)/(x^2-6*x+1) ogf] A358682 7.41546 [(61*f(x)-9)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x+x^2-f(x)+1) ogf] A358682 7.62733 [{a(n+3)-7*a(n+2)+7*a(n+1)-a(n),a(0)=1,a(1)=7,a(2)=43} ogf] A358682 8.99853 [-(x^4-4*x^2-12*x+7)/(x^5-7*x^4+8*x^3-8*x^2+7*x-1) lgdogf] A358691 10.2567 [-(f(x)-30)*(-2*x^4+f(x)*x-f(x)+3) ogf] A358691 11.4634 [-(-6*x^4+8*x^3-3)/(2*x^5-2*x^4-3*x+3) lgdogf] A358691 21.0679 [(2*x^4-3)/(x-1) ogf] A358691 26.8797 [(2*x^4-3)/(x-1) ogf] A358691 7.79511 [{-a(n+5)+a(n+4),a(0)=3,a(1)=3,a(2)=3,a(3)=3,a(4)=1} ogf] A358692 10.2567 [{-a(n+3)+a(n+2),a(0)=1,a(1)=3,a(2)=1} ogf] A358692 12.1799 [-(-2*x^2+4*x-3)/(2*x^3-4*x^2+x+1) lgdogf] A358692 14.7078 [-f(x)*x+2*x^2+f(x)-2*x-1 ogf] A358692 19.0125 [(2*x^2-2*x-1)/(x-1) ogf] A358692 23.6215 [(2*x^2-2*x-1)/(x-1) ogf] A358696 7.26954 [-(x^5-x^3-6*x^2-x-1)*(x-1)^2/(x^9-5*x^8+7*x^7+12*x^6-16*x^5-37*x^4+20*x^3-x^2-6*x+1) ogf] A358696 7.70681 [-(x^5-x^3-6*x^2-x-1)*(x-1)^2/(x^9-5*x^8+7*x^7+12*x^6-16*x^5-37*x^4+20*x^3-x^2-6*x+1) ogf] A358730 2.07391 [{a(n+6)-3*a(n+4),a(0)=1,a(1)=4,a(2)=8,a(3)=16,a(4)=27,a(5)=54} ogf] A358730 2.67978 [RootOf(-x+_Z+(3*x+4)*_Z^2+5*_Z^3+4*_Z^4+3*_Z^5+6*_Z^6) revogf] A358730 3.26712 [-(6*x^5+3*x^4+4*x^3+5*x^2+4*x+1)/(3*x^2-1) ogf] A358730 3.66922 [-(6*x^5+3*x^4+4*x^3+5*x^2+4*x+1)/(3*x^2-1) ogf] A358734 11.1989 [(x-1)*(x^5-2*x^3+5*x^2-4*x+1)/(x^2+x-1)/(2*x-1)^2 ogf] A358734 12.3049 [(x-1)*(x^5-2*x^3+5*x^2-4*x+1)/(x^2+x-1)/(2*x-1)^2 ogf] A358734 6.19067 [{-a(n+7)+5*a(n+6)-7*a(n+5)+4*a(n+3),a(0)=1,a(1)=0,a(2)=2,a(3)=3,a(4)=7,a(5)=15,a(6)=33} ogf] A358754 16.9713 [-(-180*x^149-30*x^29)/(6*x^120-x^30+1) lgdogf] A358755 8.4026 [x^5*(4*x^174-x^162-2*x^156-3*x^150-4*x^18-4*x^12-4*x^6-4)/(x^174+x^168+x^162+x^156-3*x^150+4*x^30-4) ogf] A358755 8.86301 [x^5*(4*x^174-x^162-2*x^156-3*x^150-4*x^18-4*x^12-4*x^6-4)/(x^174+x^168+x^162+x^156-3*x^150+4*x^30-4) ogf] A358756 6.19855 [{a(n+7)-a(n+6)-a(n+1)+a(n),a(0)=30,a(1)=60,a(2)=90,a(3)=120,a(4)=150,a(5)=180,a(6)=240} ogf] A358756 7.77203 [30*(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A358756 8.28167 [30*(x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A358793 4.49609 [(x^14-3*x^12+x^11-x^10+2*x^9-4*x^8+3*x^7+8*x^6+x^5+7*x^4+4*x^3+7*x^2+3*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A358793 4.6993 [(x^14-3*x^12+x^11-x^10+2*x^9-4*x^8+3*x^7+8*x^6+x^5+7*x^4+4*x^3+7*x^2+3*x+1)/(x+1)/(x^2-x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A358842 7.92167 [-(18*x^41+30*x^29+12*x^11)/(x^42+x^30-x^12-1) lgdogf] A358854 7.43908 [(x^21+x^20+x^10+1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A358854 7.95212 [(x^21+x^20+x^10+1)/(x+1)/(x^2+1)/(x^8-x^6+x^4-x^2+1)/(x-1)^2 ogf] A358917 11.1643 [x*(x^2+11*x+1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A358917 5.11695 [-(1150*f(x)+587)*(f(x)*x^4-4*f(x)*x^3-19*f(x)*x^2-x^3-4*f(x)*x-11*x^2+f(x)-x) ogf] A358917 5.41795 [{a(n+4)-4*a(n+3)-19*a(n+2)-4*a(n+1)+a(n),a(0)=0,a(1)=1,a(2)=15,a(3)=80} ogf] A358917 9.95731 [x*(x^2+11*x+1)/(x^2+3*x+1)/(x^2-7*x+1) ogf] A358934 3.53224 [{a(n+6)-8*a(n+5)-40*a(n+4)+60*a(n+3)+40*a(n+2)-8*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=31,a(3)=242,a(4)=3093,a(5)=32525} ogf] A358934 6.21915 [-x*(x^4-23*x^3-46*x^2+23*x+1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A358934 6.6756 [-x*(x^4-23*x^3-46*x^2+23*x+1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A358985 15.0004 [2*(5*x^2-9*x-5)/(19*x^2-1) ogf] A358985 17.8576 [2*(5*x^2-9*x-5)/(19*x^2-1) ogf] A358985 8.92882 [(595*f(x)-5779)*(19*f(x)*x^2-10*x^2-f(x)+18*x+10) ogf] A358985 9.25951 [-(-171*x^2-180*x-9)/(95*x^4-171*x^3-100*x^2+9*x+5) lgdogf] A358985 9.25951 [{-a(n+3)+19*a(n+1),a(0)=10,a(1)=18,a(2)=180} ogf] A358994 16.3409 [(2*x^3-16*x^2-46*x-21)/(x-1)^5 ogf] A358994 19.312 [(2*x^3-16*x^2-46*x-21)/(x-1)^5 ogf] A358994 4.80072 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=21,a(1)=151,a(2)=561,a(3)=1503,a(4)=3310} ogf] A358994 9.54752 [-(4*x^3-42*x^2-216*x-151)/(2*x^4-18*x^3-30*x^2+25*x+21) lgdogf] A358995 2.02053 [-(x^2+6*x+4)/(x^3+4*x^2+2*x-3) lgdogf] A359019 7.95192 [-(x^6+2*x^5+3*x^4+2*x^3+2*x^2-1)/(x^3+x+1)/(x^3+x-1)/(x^3+2*x^2+x-1) ogf] A359019 8.47766 [-(x^6+2*x^5+3*x^4+2*x^3+2*x^2-1)/(x^3+x+1)/(x^3+x-1)/(x^3+2*x^2+x-1) ogf] A359048 5.04857 [-(25*x^44+9*x^43+9*x^42-4*x^41-5*x^23-3*x^22-3*x^21-2*x^20-7*x^2-3*x-3)/(x-1)/(x^2+x+1)/(3*x^42-x^21-1) ogf] A359048 5.30747 [-(25*x^44+9*x^43+9*x^42-4*x^41-5*x^23-3*x^22-3*x^21-2*x^20-7*x^2-3*x-3)/(x-1)/(x^2+x+1)/(3*x^42-x^21-1) ogf] A359096 18.0781 [(x^4-x^3+8*x^2+7*x+1)/(x-1)^4 ogf] A359096 5.53642 [{-a(n+5)+4*a(n+4)-6*a(n+3)+4*a(n+2)-a(n+1),a(0)=1,a(1)=11,a(2)=46,a(3)=121,a(4)=252} ogf] A359096 5.82781 [(7952*f(x)+18743)*(f(x)*x^4-4*f(x)*x^3-x^4+6*f(x)*x^2+x^3-4*f(x)*x-8*x^2+f(x)-7*x-1) ogf] A359096 9.73437 [-(3*x^3+13*x^2+37*x+11)/(x^5-2*x^4+9*x^3-x^2-6*x-1) lgdogf] A359098 7.26697 [-(1109*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-1111)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A359108 3.73111 [{27*a(n+1)*n^3-256*a(n)*n^3+54*a(n+1)*n^2-384*a(n)*n^2+33*a(n+1)*n-176*a(n)*n+6*a(n+1)-24*a(n),a(0)=1,a(1)=2} ogf] A359140 9.34299 [1/2/(x^2-x+1)*(-x^2+x-1+(x^4+2*x^3-x^2+2*x+1)^(1/2)) revogf] A359140 9.81486 [-f(x)^2*x^3-f(x)^2*x^2+f(x)*x^2+f(x)*x+f(x)-x-1 ogf] A359176 3.04734 [{-a(n+3)*n^2+5*a(n+2)*n^2-4*a(n+1)*n^2-4*a(n+3)*n+19*a(n+2)*n-18*a(n+1)*n-3*a(n+3)+16*a(n+2)-18*a(n+1),a(0)=0,a(1)=0,a(2)=3} ogf] A359187 48.3807 [x revogf] A359271 11.5615 [-(10*x-19)/(10*x^2-11*x+1) lgdogf] A359271 15.821 [-5*(x-1)/(10*x-1)^2 ogf] A359271 20.0399 [-5*(x-1)/(10*x-1)^2 ogf] A359271 6.60656 [(36*f(x)+181)*(100*f(x)*x^2-20*f(x)*x+f(x)+5*x-5) ogf] A359271 7.70766 [{-a(n+2)+20*a(n+1)-100*a(n),a(0)=5,a(1)=95} ogf] A359329 11.4795 [-(6*x^3-2*x^2-22*x-6)/(2*x^4-x^3-7*x^2+x+5) lgdogf] A359329 16.313 [x^2*(2*x^2-x-5)/(x+1)^2/(x-1)^3 ogf] A359329 18.9764 [x^2*(2*x^2-x-5)/(x+1)^2/(x-1)^3 ogf] A359329 5.70455 [{-a(n+5)+a(n+4)+2*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=5,a(3)=6,a(4)=14} ogf] A359366 11.9639 [-x*(x^3+x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A359366 13.533 [-x*(x^3+x^2+3*x+1)/(x-1)^3/(x+1)^3 ogf] A359366 5.8965 [{-a(n+6)+3*a(n+4)-3*a(n+2)+a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=4,a(4)=10,a(5)=9} ogf] A359366 9.27539 [-(3*x^4+4*x^3+18*x^2+8*x+3)/(x^5+x^4+2*x^3-3*x-1) lgdogf] A359374 6.44951 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A359374 6.82613 [-(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A359375 7.96309 [(x+1)*(x^6+3*x^4-2*x^3+3*x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A359375 8.50758 [(x+1)*(x^6+3*x^4-2*x^3+3*x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A359376 10.7354 [x*(x^2+x+1)*(3*x^2-2*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A359376 7.1314 [{-a(n+6)+a(n+5)+a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=4,a(3)=8,a(4)=9,a(5)=12} ogf] A359376 9.88511 [x*(x^2+x+1)*(3*x^2-2*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A359379 6.31025 [-(x^5+x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A359379 6.71411 [-(x^5+x^4+x^3+x^2+1)/(x-1)/(x+1)/(x^2+1)/(x^2+x+1)/(x^2-x+1) ogf] A359380 11.1596 [(x^4+2*x^3-2*x^2+2*x+1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A359380 12.2618 [(x^4+2*x^3-2*x^2+2*x+1)/(x+1)/(x^2-x+1)/(x-1)^2 ogf] A359380 6.05612 [{a(n+5)-2*a(n+4)+a(n+3)+a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=4,a(2)=5,a(3)=7,a(4)=8} ogf] A359404 5.19316 [-3*x^2*(3*x-1)*(9216*x^8-30720*x^7+45440*x^6-39360*x^5+20560*x^4-6480*x^3+1200*x^2-120*x+5)/(6*x-1)^4/(-1+4*x)^4/(2*x-1)^4 ogf] A359405 10.8073 [-(224*x^5-504*x^4+462*x^3-196*x^2+39*x-3)/(4*x-1)^3/(2*x-1)^3 ogf] A359405 9.84669 [-(224*x^5-504*x^4+462*x^3-196*x^2+39*x-3)/(2*x-1)^3/(-1+4*x)^3 ogf] A359410 6.44676 [-30*(x^10-2*x^5-2*x^4-x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A359410 6.86606 [-30*(x^10-2*x^5-2*x^4-x^3-x^2-x-1)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A359450 7.05129 [-(186*x^32-192*x^31+90*x^16-96*x^15+126*x^8-144*x^7+12*x^4-14*x^3-3*x^2-1)/(x-1)^2 ogf] A359452 10.1829 [-(640*x^2-160*x-8)/(640*x^3+48*x^2-24*x+1) lgdogf] A359452 15.9384 [(8*x-1)/(4*x+1)/(20*x-1) ogf] A359452 19.2938 [(8*x-1)/(4*x+1)/(20*x-1) ogf] A359452 8.05676 [(189*f(x)-173)*(80*f(x)*x^2+16*f(x)*x-f(x)-8*x+1) ogf] A359452 9.64691 [{-a(n+2)+16*a(n+1)+80*a(n),a(0)=1,a(1)=8} ogf] A359453 11.8252 [-80*f(x)*x^2-16*f(x)*x+f(x)-12*x ogf] A359453 13.8333 [-(160*x+16)/(80*x^2+16*x-1) lgdogf] A359453 17.0504 [-12*x/(4*x+1)/(20*x-1) ogf] A359453 20.9476 [-12*x/(4*x+1)/(20*x-1) ogf] A359453 9.64691 [{-a(n+2)+16*a(n+1)+80*a(n),a(0)=0,a(1)=12} ogf] A359456 5.91262 [-(-29*x^28-5*x^4-1)/(x^29+x^5+x+1) lgdogf] A359456 6.2656 [(29*x^28+5*x^4+1)/(x^29+x^5+x+1) lgdogf] A359489 10.4209 [2*(2*x+1)/(x-1)/(x^3-3*x^2+7*x-1) lgdogf] A359489 10.9019 [-(-4*x-2)/(x^4-4*x^3+10*x^2-8*x+1) lgdogf] A359489 2.82319 [{a(n+4)*n-8*a(n+3)*n+10*a(n+2)*n-4*a(n+1)*n+a(n)*n+4*a(n+4)-26*a(n+3)+16*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=12,a(3)=68} ogf] A359489 7.01606 [-f(x)^2*x^3+3*f(x)^2*x^2-7*f(x)^2*x+x^3+f(x)^2-3*x^2+3*x-1 ogf] A359498 7.3455 [-x*(205*x^6+10362*x^5+77667*x^4+146092*x^3+77667*x^2+10362*x+205)/(x-1)^9 ogf] A359498 7.94513 [-x*(205*x^6+10362*x^5+77667*x^4+146092*x^3+77667*x^2+10362*x+205)/(x-1)^9 ogf] A359559 10.8836 [-(4*x^5-10*x^4+12*x^3-9*x^2+5*x-1)/(2*x^2-2*x+1)^3 ogf] A359559 3.84446 [{a(n+6)-6*a(n+5)+18*a(n+4)-32*a(n+3)+36*a(n+2)-24*a(n+1)+8*a(n),a(0)=1,a(1)=1,a(2)=-3,a(3)=-16,a(4)=-36,a(5)=-40} ogf] A359559 9.78147 [-(4*x^5-10*x^4+12*x^3-9*x^2+5*x-1)/(2*x^2-2*x+1)^3 ogf] A359620 5.67167 [-(16*x^6+512*x^5+704*x^4-2336*x^3+511*x^2-38*x+1)/(-1+16*x)/(x-1)^2/(4*x^2-12*x+1)^2 ogf] A359620 6.06968 [-(16*x^6+512*x^5+704*x^4-2336*x^3+511*x^2-38*x+1)/(16*x-1)/(x-1)^2/(4*x^2-12*x+1)^2 ogf] A359621 5.95667 [-(4*x^6+12*x^5+84*x^4-210*x^3+97*x^2-16*x+1)/(-1+8*x)/(x-1)^2/(2*x^2-5*x+1)^2 ogf] A359621 6.40203 [-(4*x^6+12*x^5+84*x^4-210*x^3+97*x^2-16*x+1)/(8*x-1)/(x-1)^2/(2*x^2-5*x+1)^2 ogf] A359622 7.6265 [-(36*x^5-120*x^4+172*x^3-67*x^2+6*x+1)/(-1+8*x)/(x-1)^2/(2*x^2-5*x+1)^2 ogf] A359622 8.24278 [-(36*x^5-120*x^4+172*x^3-67*x^2+6*x+1)/(8*x-1)/(x-1)^2/(2*x^2-5*x+1)^2 ogf] A359626 16.8314 [-(5*x^2-6*x+4)/(x^3-2*x^2+2*x-1) lgdogf] A359632 6.12146 [-(3*x^7+12*x^6+7*x^5+4*x^4+7*x^3+4*x^2+7*x+12)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A359632 6.5196 [-(3*x^7+12*x^6+7*x^5+4*x^4+7*x^3+4*x^2+7*x+12)/(x-1)/(x+1)/(x^2+1)/(x^4+1) ogf] A359647 13.3728 [hypergeom([1/4,3/4],[2],64*x) ogf] A359647 3.86496 [{a(n+2)*n^2-64*a(n+1)*n^2+5*a(n+2)*n-192*a(n+1)*n+6*a(n+2)-140*a(n+1),a(0)=1,a(1)=6} ogf] A359651 6.54048 [-(109*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-111)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A359651 6.91157 [-(109*x^9-x^8-x^7-x^6-x^5-x^4-x^3-x^2-x-111)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A359667 2.3005 [-(f(x)*x-f(x)+1)^3 ogf] A359722 8.23355 [-1/2*(8*I*x^3-(4*x-1)^(3/2)+8*I*x-I)/(4*x-1)^(3/2)/x ogf] A359738 10.8291 [(2*x^4+2*x^3+2*x^2+x+1)/(x^2+1) ogf] A359738 12.4637 [(2*x^4+2*x^3+2*x^2+x+1)/(x^2+1) ogf] A359738 5.89800 [-(-4*x^5-2*x^4-8*x^3-5*x^2-2*x-1)/(2*x^6+2*x^5+4*x^4+3*x^3+3*x^2+x+1) lgdogf] A359738 6.60576 [{-a(n+5)-a(n+3),a(0)=1,a(1)=1,a(2)=1,a(3)=1,a(4)=1} ogf] A359738 9.57356 [-2*x^4+f(x)*x^2-2*x^3-2*x^2+f(x)-x-1 ogf] A359740 14.3107 [-x*(4*x^3-5*x^2-x+1)/(x-1)^2 ogf] A359740 16.6472 [-x*(4*x^3-5*x^2-x+1)/(x-1)^2 ogf] A359740 6.97188 [{-a(n+5)+2*a(n+4)-a(n+3),a(0)=0,a(1)=-1,a(2)=-1,a(3)=4,a(4)=5} ogf] A359740 7.03199 [-(2488*f(x)+56709)*(4*x^4+f(x)*x^2-5*x^3-2*f(x)*x-x^2+f(x)+x) ogf] A359740 9.94768 [-(-4*x^3+12*x^2-11*x+1)/(4*x^4-9*x^3+4*x^2+2*x-1) lgdogf] A359758 8.31637 [-(-8*x-2)/(x^6-6*x^5+15*x^4-20*x^3+19*x^2-10*x+1) lgdogf] A359758 9.31434 [(x-1)^(5/2)/(x^5-5*x^4+10*x^3-10*x^2+9*x-1)^(1/2) ogf] A359761 14.6393 [hypergeom([1/4,3/4],[1],32*x) egf] A359761 5.04802 [{-32*a(n+1)*n^2+a(n+2)*n-96*a(n+1)*n+2*a(n+2)-70*a(n+1),a(0)=1,a(1)=6} ogf] A359844 5.96303 [-(x^8+3272*x^7+165820*x^6+1242616*x^5+2337542*x^4+1242616*x^3+165820*x^2+3272*x+1)/(x-1)^9 ogf] A359844 6.36391 [-(x^8+3272*x^7+165820*x^6+1242616*x^5+2337542*x^4+1242616*x^3+165820*x^2+3272*x+1)/(x-1)^9 ogf] A359884 13.471 [-(2*x-1)/(14*x^3-9*x^2-5*x+1) ogf] A359884 15.8138 [-(2*x-1)/(14*x^3-9*x^2-5*x+1) ogf] A359884 6.21739 [-(180059*f(x)-11732)*(14*f(x)*x^3-9*f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A359884 6.86259 [{a(n+3)-5*a(n+2)-9*a(n+1)+14*a(n),a(0)=1,a(1)=3,a(2)=24} ogf] A359884 8.55805 [-(56*x^3-60*x^2+18*x+3)/(28*x^4-32*x^3-x^2+7*x-1) lgdogf] A359885 13.4103 [-(16*x-1)/(128*x^2-60*x+1) ogf] A359885 16.0269 [-(16*x-1)/(128*x^2-60*x+1) ogf] A359885 6.84483 [-(149*f(x)-28)*(128*f(x)*x^2-60*f(x)*x+f(x)+16*x-1) ogf] A359885 8.4244 [{a(n+2)-60*a(n+1)+128*a(n),a(0)=1,a(1)=44} ogf] A359885 8.53382 [-(2048*x^2-256*x+44)/(2048*x^3-1088*x^2+76*x-1) lgdogf] A359886 3.77113 [{a(n+6)-2*a(n+5)-a(n+4)-58*a(n+3)-72*a(n+2)-32*a(n+1)+128*a(n),a(0)=1,a(1)=1,a(2)=3,a(3)=49,a(4)=231,a(5)=789} ogf] A359886 8.45397 [-(16*x^3+x-1)/(128*x^6-32*x^5-72*x^4-58*x^3-x^2-2*x+1) ogf] A359886 9.26881 [-(16*x^3+x-1)/(128*x^6-32*x^5-72*x^4-58*x^3-x^2-2*x+1) ogf] A359945 10.0784 [x*(22*x^23-22*x^22+6*x^9-6*x^8+4*x^5-4*x^4-1)/(x-1) ogf] A359945 11.1255 [x*(22*x^23-22*x^22+6*x^9-6*x^8+4*x^5-4*x^4-1)/(x-1) ogf] A359952 4.99707 [(17648457387563954963783944*f(x)+124258076670294295395883496061)*(f(x)*x^3+16950*x^4+20769*x^3+5*x^2-f(x)+1093*x+2) ogf] A359952 7.02291 [{-a(n+5)+a(n+2),a(0)=2,a(1)=1093,a(2)=5,a(3)=20771,a(4)=18043} ogf] A359952 8.47329 [-(16950*x^4+20769*x^3+5*x^2+1093*x+2)/(x-1)/(x^2+x+1) ogf] A359952 9.28027 [-(16950*x^4+20769*x^3+5*x^2+1093*x+2)/(x-1)/(x^2+x+1) ogf] A359984 4.43244 [f(x)^3*x^3+3*f(x)^3*x^2+3*f(x)^3*x-3*f(x)^2*x^2+f(x)^3-7*f(x)^2*x-f(x)^2+4*f(x)*x-f(x)+1 ogf] A359987 11.9362 [-(4*x^2-2*x+1)/(8*x-1)/(2*x^2-5*x+1) ogf] A359987 13.6114 [-(4*x^2-2*x+1)/(8*x-1)/(2*x^2-5*x+1) ogf] A359987 6.30774 [(887133*f(x)-51970)*(16*f(x)*x^3-42*f(x)*x^2+13*f(x)*x+4*x^2-f(x)-2*x+1) ogf] A359987 7.0532 [{a(n+3)-13*a(n+2)+42*a(n+1)-16*a(n),a(0)=1,a(1)=11,a(2)=105} ogf] A359987 7.18381 [-(64*x^4-64*x^3+80*x^2-76*x+11)/(64*x^5-200*x^4+152*x^3-72*x^2+15*x-1) lgdogf] A359988 3.63423 [{a(n+5)-54*a(n+4)+777*a(n+3)-2390*a(n+2)+1736*a(n+1)-256*a(n),a(0)=3,a(1)=105,a(2)=3665,a(3)=123215,a(4)=4051679} ogf] A359988 6.48726 [-(32*x^4-280*x^3+326*x^2-57*x+3)/(32*x-1)/(8*x^4-54*x^3+73*x^2-22*x+1) ogf] A359988 7.01149 [-(32*x^4-280*x^3+326*x^2-57*x+3)/(32*x-1)/(8*x^4-54*x^3+73*x^2-22*x+1) ogf] A360023 11.352 [x*(7*x^4+4*x^2-4*x+1)/(x-1)^2/(3*x-1)^2/(x+1)^2 ogf] A360023 11.3520 [x*(7*x^4+4*x^2-4*x+1)/(x-1)^2/(3*x-1)^2/(x+1)^2 ogf] A360023 12.6682 [x*(7*x^4+4*x^2-4*x+1)/(x-1)^2/(3*x-1)^2/(x+1)^2 ogf] A360023 4.41469 [{-a(n+6)+6*a(n+5)-7*a(n+4)-12*a(n+3)+17*a(n+2)+6*a(n+1)-9*a(n),a(0)=0,a(1)=1,a(2)=2,a(3)=9,a(4)=28,a(5)=105} ogf] A360024 7.81124 [1/2*(I*(4*x^2-x+1)^(1/2)-(x-1)^(1/2))/x^2/(x-1)^(1/2) ogf] A360024 9.63724 [-f(x)^2*x^3+f(x)^2*x^2-f(x)*x+f(x)-1 ogf] A360025 9.75677 [-f(x)^2*x^4+f(x)^2*x^3-f(x)*x+f(x)-1 ogf] A360027 3.22238 [-(x^5-x+1)*(x^15-9*x^11+9*x^10+6*x^7-12*x^6+6*x^5-x^3+3*x^2-3*x+1)/(x-1)/(x^10-3*x^6+3*x^5+x^2-2*x+1)/(5*x^10-5*x^6+5*x^5+x^2-2*x+1) ogf] A360027 3.34692 [-(x^5-x+1)*(x^15-9*x^11+9*x^10+6*x^7-12*x^6+6*x^5-x^3+3*x^2-3*x+1)/(x-1)/(x^10-3*x^6+3*x^5+x^2-2*x+1)/(5*x^10-5*x^6+5*x^5+x^2-2*x+1) ogf] A360027 9.36232 [RootOf(-x+(x+1)*_Z-x^2*_Z^4+x^2*_Z^5) revogf] A360035 12.4331 [-(9*x^2-10*x-3)/(3*x^3-x^2-3*x+1) lgdogf] A360035 15.2481 [-2*x^2*(x-1)/(x+1)^2/(3*x-1)^2 ogf] A360035 15.2481 [-2*x^2*(x-1)/(x+1)^2/(3*x-1)^2 ogf] A360035 17.9589 [-2*x^2*(x-1)/(x+1)^2/(3*x-1)^2 ogf] A360035 6.03098 [-(5*f(x)+2)*(9*f(x)*x^4+12*f(x)*x^3-2*f(x)*x^2+2*x^3-4*f(x)*x-2*x^2+f(x)) ogf] A360035 6.07632 [{-a(n+4)+4*a(n+3)+2*a(n+2)-12*a(n+1)-9*a(n),a(0)=0,a(1)=0,a(2)=2,a(3)=6} ogf] A360036 11.0244 [-2*x^3*(x^2+6*x-3)/(x-1)^2/(3*x-1)^2/(x+1)^2 ogf] A360036 11.0244 [-2*x^3*(x^2+6*x-3)/(x-1)^2/(3*x-1)^2/(x+1)^2 ogf] A360036 12.3813 [-2*x^3*(x^2+6*x-3)/(x-1)^2/(3*x-1)^2/(x+1)^2 ogf] A360036 4.10604 [{a(n+6)-6*a(n+5)+7*a(n+4)+12*a(n+3)-17*a(n+2)-6*a(n+1)+9*a(n),a(0)=0,a(1)=0,a(2)=0,a(3)=6,a(4)=24,a(5)=100} ogf] A360036 7.73832 [-(12*x^4+88*x^3-72*x^2-8*x+12)/(3*x^5+17*x^4-18*x^3-14*x^2+15*x-3) lgdogf] A360045 8.00335 [1/2*((x-1)^(3/2)+(5*x^3-3*x^2+3*x-1)^(1/2))/x^3/(x-1)^(3/2) ogf] A360047 6.75065 [1/2*((x-1)^(5/2)-(5*x^5-5*x^4+10*x^3-10*x^2+5*x-1)^(1/2))/(x-1)^(5/2)/x^5 ogf] A360048 3.1689 [{a(n+4)*n-3*a(n+3)*n+7*a(n+2)*n-5*a(n+1)*n+6*a(n+4)-15*a(n+3)+24*a(n+2)-15*a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=0} ogf] A360048 6.44997 [-f(x)^2*x^4+2*f(x)^2*x^3-f(x)^2*x^2-f(x)*x^2+2*f(x)*x-f(x)+1 ogf] A360048 9.9842 [-1/2*(x-1+(5*x^2-2*x+1)^(1/2))/x^2/(x-1) ogf] A360049 7.18967 [-1/2*((x-1)^(3/2)+I*(3*x^3+3*x^2-3*x+1)^(1/2))/x^3/(x-1)^(3/2) ogf] A360058 5.01701 [f(x)^2*x^4-3*f(x)^2*x^3+3*f(x)^2*x^2+f(x)*x^3-f(x)^2*x-3*f(x)*x^2+3*f(x)*x-f(x)+1 ogf] A360058 7.70654 [-1/2*((x-1)^(3/2)+(x^3-3*x^2-x-1)^(1/2))/x/(x-1)^(3/2) ogf] A360059 8.0765 [1/2*(-x^2+(x^4-4*x^3+6*x^2+1)^(1/2)+2*x-1)/x/(x-1)^2 ogf] A360059 8.07650 [1/2/x*(-x^2+2*x-1+(x^4-4*x^3+6*x^2+1)^(1/2))/(x-1)^2 ogf] A360064 6.34626 [-(16*x^3-4*x^2+8*x-1)/(128*x^6-224*x^5-112*x^4+64*x^3-20*x^2-13*x+1) ogf] A360064 6.34627 [-(16*x^3-4*x^2+8*x-1)/(128*x^6-224*x^5-112*x^4+64*x^3-20*x^2-13*x+1) ogf] A360064 6.88069 [-(16*x^3-4*x^2+8*x-1)/(128*x^6-224*x^5-112*x^4+64*x^3-20*x^2-13*x+1) ogf] A360065 4.25881 [{a(n+5)-7*a(n+4)-42*a(n+3)-6*a(n+2)+81*a(n+1)-27*a(n),a(0)=1,a(1)=2,a(2)=45,a(3)=412,a(4)=4705} ogf] A360065 7.75552 [-(7*x^3-11*x^2-5*x+1)/(x-1)/(3*x+1)/(9*x^3-21*x^2-9*x+1) ogf] A360065 7.75552 [-(7*x^3-11*x^2-5*x+1)/(x-1)/(3*x+1)/(9*x^3-21*x^2-9*x+1) ogf] A360065 8.46867 [-(7*x^3-11*x^2-5*x+1)/(x-1)/(3*x+1)/(9*x^3-21*x^2-9*x+1) ogf] A360066 5.74164 [-(7*x^4-23*x^3-18*x^2-15*x+1)/(27*x^6-140*x^5-14*x^4-146*x^3+176*x^2+26*x-1) ogf] A360066 5.74164 [-(7*x^4-23*x^3-18*x^2-15*x+1)/(27*x^6-140*x^5-14*x^4-146*x^3+176*x^2+26*x-1) ogf] A360066 6.1791 [-(7*x^4-23*x^3-18*x^2-15*x+1)/(27*x^6-140*x^5-14*x^4-146*x^3+176*x^2+26*x-1) ogf] A360076 7.32625 [f(x)^2*x^4+3*f(x)^2*x^3+3*f(x)^2*x^2+f(x)^2*x-f(x)+1 ogf] A360076 7.64828 [1/2*I*((4*x^4+12*x^3+12*x^2+4*x-1)^(1/2)-I)/x/(x+1)^3 ogf] A360083 6.13346 [RootOf(x^2-x+(5*x^2+1)*_Z+10*x^2*_Z^2+10*x^2*_Z^3+5*x^2*_Z^4+x^2*_Z^5) revogf] A360084 7.44633 [f(x)^2*x^4+3*f(x)^2*x^3+3*f(x)^2*x^2+f(x)^2*x+f(x)-1 ogf] A360084 8.13105 [1/2*(-1+(4*x^4+12*x^3+12*x^2+4*x+1)^(1/2))/x/(x+1)^3 ogf] A360084 8.13105 [1/2*(-1+(4*x^4+12*x^3+12*x^2+4*x+1)^(1/2))/x/(x+1)^3 ogf] A360085 7.72355 [1/2*(-1+(4*x^5+16*x^4+24*x^3+16*x^2+4*x+1)^(1/2))/x/(x+1)^4 ogf] A360086 6.25518 [RootOf(x^2+x+(5*x^2-1)*_Z+10*x^2*_Z^2+10*x^2*_Z^3+5*x^2*_Z^4+x^2*_Z^5) revogf] A360087 16.3287 [1/(x^4+3*x^3+3*x^2+x+1) ogf] A360087 16.3287 [1/(x^4+3*x^3+3*x^2+x+1) ogf] A360087 19.8593 [1/(x^4+3*x^3+3*x^2+x+1) ogf] A360087 5.48353 [{-a(n+4)-a(n+3)-3*a(n+2)-3*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-2,a(3)=2} ogf] A360087 6.02289 [-(5*f(x)-14)*(f(x)*x^4+3*f(x)*x^3+3*f(x)*x^2+f(x)*x+f(x)-1) ogf] A360087 9.18491 [-(4*x^3+9*x^2+6*x+1)/(x^4+3*x^3+3*x^2+x+1) lgdogf] A360088 14.1054 [1/(x^5+4*x^4+6*x^3+4*x^2+x+1) ogf] A360088 14.1054 [1/(x^5+4*x^4+6*x^3+4*x^2+x+1) ogf] A360088 16.6131 [1/(x^5+4*x^4+6*x^3+4*x^2+x+1) ogf] A360088 4.53084 [{-a(n+5)-a(n+4)-4*a(n+3)-6*a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-3,a(3)=1,a(4)=13} ogf] A360088 7.62845 [-(5*x^4+16*x^3+18*x^2+8*x+1)/(x^5+4*x^4+6*x^3+4*x^2+x+1) lgdogf] A360089 12.1025 [1/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x+1) ogf] A360089 12.1026 [1/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x+1) ogf] A360089 13.8629 [1/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x+1) ogf] A360089 3.85082 [{-a(n+6)-a(n+5)-5*a(n+4)-10*a(n+3)-10*a(n+2)-5*a(n+1)-a(n),a(0)=1,a(1)=-1,a(2)=-4,a(3)=-1,a(4)=21,a(5)=29} ogf] A360089 6.46155 [-(6*x^5+25*x^4+40*x^3+30*x^2+10*x+1)/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x+1) lgdogf] A360090 11.1664 [-1/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x-1) ogf] A360090 11.1665 [-1/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x-1) ogf] A360090 12.6806 [-1/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x-1) ogf] A360090 3.74077 [{-a(n+6)+a(n+5)+5*a(n+4)+10*a(n+3)+10*a(n+2)+5*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=6,a(3)=21,a(4)=71,a(5)=251} ogf] A360090 6.34031 [-(6*x^5+25*x^4+40*x^3+30*x^2+10*x+1)/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x-1) lgdogf] A360100 6.21793 [-f(x)*x^3-f(x)^2*x+3*f(x)*x^2+x^3-3*f(x)*x-3*x^2+f(x)+3*x-1 ogf] A360100 7.07982 [-1/2*((x-1)^(3/2)*(x^3-3*x^2+7*x-1)^(1/2)+x^3-3*x^2+3*x-1)/x ogf] A360102 7.79136 [1/2*((x^3-3*x^2+7*x-1)^(1/2)*(x-1)^(1/2)+x^2-2*x+1)/x ogf] A360102 8.94563 [f(x)^2*x-f(x)*x^2+2*f(x)*x-f(x)-x+1 ogf] A360102 9.53414 [-1/2*(-2*x-1+(4*x^3+4*x^2+1)^(1/2))/(x+1) revogf] A360103 5.42228 [f(x)*x^4-4*f(x)*x^3-f(x)^2*x+6*f(x)*x^2+x^3-4*f(x)*x-3*x^2+f(x)+3*x-1 ogf] A360132 7.66183 [-(10*x+2)/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-25*x^2+11*x-1) lgdogf] A360132 8.47309 [-(x-1)^3/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-10*x+1)^(1/2) ogf] A360132 8.47309 [-1/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-10*x+1)^(1/2)*(x-1)^3 ogf] A360133 12.3975 [-(4*x-2)/(x^4+4*x^3+2*x^2+1) lgdogf] A360133 3.39657 [{-a(n+4)*n-2*a(n+2)*n-4*a(n+1)*n-a(n)*n-4*a(n+4)+2*a(n+3)-8*a(n+2)-4*a(n+1),a(0)=1,a(1)=2,a(2)=0,a(3)=-4} ogf] A360133 7.36484 [-f(x)^2*x^3-3*f(x)^2*x^2+f(x)^2*x+x^3-f(x)^2+3*x^2+3*x+1 ogf] A360133 7.66854 [1/(x^3+3*x^2-x+1)*((x^3+3*x^2-x+1)*(x+1))^(1/2)*(x+1) ogf] A360133 7.66855 [1/(x^3+3*x^2-x+1)*((x^3+3*x^2-x+1)*(x+1))^(1/2)*(x+1) ogf] A360143 5.08582 [4*f(x)^2*x^4-9*f(x)^2*x^3+22*f(x)^2*x^2-9*f(x)^2*x-8*f(x)*x^2+x^3+f(x)^2+6*f(x)*x-f(x) ogf] A360143 5.73589 [1/2*(8*x^2-6*x+1+(-(4*x-1)*(2*x^3-2*x^2+4*x-1)^2)^(1/2))/(4*x-1)/(x^3-2*x^2+5*x-1) ogf] A360146 4.81925 [210*(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A360146 5.02432 [210*(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)/(x+1)/(x^4+x^3+x^2+x+1)/(x^4-x^3+x^2-x+1)/(x-1)^2 ogf] A360149 4.42718 [-4*f(x)^2*x^4+17*f(x)^2*x^3-24*f(x)^2*x^2-4*f(x)*x^3+9*f(x)^2*x+13*f(x)*x^2-x^3-f(x)^2-7*f(x)*x+f(x) ogf] A360149 5.30014 [1/2*(-4*x^3+13*x^2-7*x+1+(-(4*x-1)*(2*x^3-5*x^2+5*x-1)^2)^(1/2))/(4*x-1)/(x^3-4*x^2+5*x-1) ogf] A360150 4.25469 [-4*f(x)^2*x^4+17*f(x)^2*x^3-24*f(x)^2*x^2-4*f(x)*x^3+9*f(x)^2*x+13*f(x)*x^2-f(x)^2-7*f(x)*x-x^2+f(x) ogf] A360150 5.39774 [1/2*(-4*x^3+13*x^2-7*x+1+(-(4*x-1)*(3*x^2-5*x+1)^2)^(1/2))/(4*x-1)/(x^3-4*x^2+5*x-1) ogf] A360152 6.09848 [-1/2*(4*x^3-x^2+(-(4*x-1)*(x^2-2)^2)^(1/2))/(4*x-1)/(x^5-x^2+1) ogf] A360153 10.3409 [-(14*x^3-3*x^2-2)/(4*x^4-x^3-4*x+1) lgdogf] A360153 11.3258 [-I/(4*x-1)^(1/2)/(x^2+x+1)/(x-1) ogf] A360153 11.6971 [-1/(1-4*x)^(1/2)/(x^2+x+1)/(x-1) ogf] A360153 2.92428 [{-a(n+5)*n+4*a(n+4)*n+a(n+2)*n-4*a(n+1)*n-5*a(n+5)+18*a(n+4)+5*a(n+2)-18*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=21,a(4)=72} ogf] A360168 4.23741 [16*f(x)^2*x^4-40*f(x)^2*x^3+33*f(x)^2*x^2+12*f(x)*x^3-10*f(x)^2*x-19*f(x)*x^2+x^3+f(x)^2+8*f(x)*x-f(x) ogf] A360168 7.88249 [1/2*(-3*x+1+(-(4*x-1)*(x-1)^2)^(1/2))/(4*x-1)/(x-1) ogf] A360168 7.88249 [1/2*(-3*x+1+(-(4*x-1)*(x-1)^2)^(1/2))/(4*x-1)/(x-1) ogf] A360185 11.8650 [-(10*x^2-2*x+2)/(4*x^3-x^2+4*x-1) lgdogf] A360185 13.0716 [-I/(4*x-1)^(1/2)/(-x+I)/(x+I) ogf] A360185 18.8103 [1/(1-4*x)^(1/2)/(x^2+1) ogf] A360185 3.33864 [{-a(n+4)*n+4*a(n+3)*n-a(n+2)*n+4*a(n+1)*n-4*a(n+4)+14*a(n+3)-4*a(n+2)+14*a(n+1),a(0)=1,a(1)=2,a(2)=5,a(3)=18} ogf] A360185 3.33864 [{-a(n+4)*n-a(n+2)*n+4*a(n+1)*n+4*a(n+3)*n-4*a(n+4)-4*a(n+2)+14*a(n+1)+14*a(n+3),a(0)=1,a(1)=2,a(2)=5,a(3)=18} ogf] A360186 10.3409 [-(14*x^3-3*x^2+2)/(4*x^4-x^3+4*x-1) lgdogf] A360186 11.3258 [I/(x^2-x+1)/(4*x-1)^(1/2)/(x+1) ogf] A360186 12.5179 [1/(1-4*x)^(1/2)/(x^2-x+1)/(x+1) ogf] A360186 2.92428 [{4*a(n+4)*n-a(n+2)*n+4*a(n+1)*n-a(n+5)*n+18*a(n+4)-5*a(n+2)+18*a(n+1)-5*a(n+5),a(0)=1,a(1)=2,a(2)=6,a(3)=19,a(4)=68} ogf] A360186 2.92428 [{-a(n+5)*n+4*a(n+4)*n-a(n+2)*n+4*a(n+1)*n-5*a(n+5)+18*a(n+4)-5*a(n+2)+18*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=19,a(4)=68} ogf] A360191 16.5549 [-(3*x+5)/(x-1)/(x+1) ogf_with_Euler_transform] A360191 99.9999 Evaluated at exp(-Pi) exp(-1/24*Pi)/Pi^(3/4)*2^(7/8)*GAMMA(3/4)^3 A360197 3.92248 [{a(n+6)-4*a(n+5)+6*a(n+4)-5*a(n+3)+2*a(n+2)+a(n+1)-a(n),a(0)=0,a(1)=3,a(2)=9,a(3)=24,a(4)=58,a(5)=125} ogf] A360197 7.96626 [x*(2*x^4-x^3-6*x^2+3*x-3)/(x^4+x^3-x^2+2*x-1)/(x-1)^2 ogf] A360197 7.96627 [x*(2*x^4-x^3-6*x^2+3*x-3)/(x^4+x^3-x^2+2*x-1)/(x-1)^2 ogf] A360197 8.68234 [x*(2*x^4-x^3-6*x^2+3*x-3)/(x^4+x^3-x^2+2*x-1)/(x-1)^2 ogf] A360201 11.7726 [-(3*x^2+5*x+1)/(x^2+x-1)/(x-1)^2 ogf] A360201 11.7726 [-(3*x^2+5*x+1)/(x^2+x-1)/(x-1)^2 ogf] A360201 13.4249 [-(3*x^2+5*x+1)/(x^2+x-1)/(x-1)^2 ogf] A360201 5.38887 [-(359379*f(x)+56596)*(f(x)*x^4-f(x)*x^3-2*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+5*x+1) ogf] A360201 5.62662 [{-a(n+4)+3*a(n+3)-2*a(n+2)-a(n+1)+a(n),a(0)=1,a(1)=8,a(2)=25,a(3)=58} ogf] A360201 7.72949 [-(6*x^4+18*x^3+12*x^2-10*x-8)/(3*x^5+5*x^4-5*x^3-7*x^2+3*x+1) lgdogf] A360211 5.71278 [-4*f(x)^2*x^4+f(x)^2*x^3-4*f(x)^2*x^2-3*f(x)^2*x+4*f(x)*x^2+f(x)^2-f(x)*x-1 ogf] A360211 7.34500 [-1/2*(-4*x^2+(-(4*x-1)*(x+2)^2)^(1/2)+x)/(4*x-1)/(x^3+x+1) ogf] A360211 7.34501 [-1/2*(-4*x^2+(-(4*x-1)*(x+2)^2)^(1/2)+x)/(4*x-1)/(x^3+x+1) ogf] A360212 6.09848 [-1/2*(-4*x^3+x^2+(-(4*x-1)*(x^2+2)^2)^(1/2))/(4*x-1)/(x^5+x^2+1) ogf] A360219 12.1894 [-4*f(x)^2*x^4+4*f(x)^2*x-f(x)^2+1 ogf] A360219 14.7679 [-(8*x^3-2)/(4*x^4-4*x+1) lgdogf] A360219 23.2706 [1/(4*x^4-4*x+1)^(1/2) ogf] A360219 23.2706 [1/(4*x^4-4*x+1)^(1/2) ogf] A360219 3.83965 [{4*a(n+4)*n-4*a(n+1)*n-a(n+5)*n+18*a(n+4)-12*a(n+1)-5*a(n+5),a(0)=1,a(1)=2,a(2)=6,a(3)=20,a(4)=68} ogf] A360219 3.83965 [{-a(n+5)*n+4*a(n+4)*n-4*a(n+1)*n-5*a(n+5)+18*a(n+4)-12*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=20,a(4)=68} ogf] A360222 12.0407 [4*x*(x^3-4*x^2-x-2)/(x+1)/(x-1)^3 ogf] A360222 12.0408 [4*x*(x^3-4*x^2-x-2)/(x+1)/(x-1)^3 ogf] A360222 13.6199 [4*x*(x^3-4*x^2-x-2)/(x+1)/(x-1)^3 ogf] A360222 6.0204 [{a(n+5)-2*a(n+4)+2*a(n+2)-a(n+1),a(0)=0,a(1)=8,a(2)=20,a(3)=56,a(4)=92} ogf] A360222 6.3421 [-(35*f(x)-576)*(f(x)*x^4-2*f(x)*x^3-4*x^4+16*x^3+2*f(x)*x+4*x^2-f(x)+8*x) ogf] A360222 8.56510 [-(x^4-6*x^3-8*x^2-18*x-5)/(x^5-4*x^4-2*x^3+2*x^2+x+2) lgdogf] A360261 11.6030 [-(2*x+1)/(2*x-1)/(16*x^4+12*x^3+5*x^2+3*x+1) ogf] A360261 11.6031 [-(2*x+1)/(2*x-1)/(16*x^4+12*x^3+5*x^2+3*x+1) ogf] A360261 12.9885 [-(2*x+1)/(2*x-1)/(16*x^4+12*x^3+5*x^2+3*x+1) ogf] A360261 5.30629 [{a(n+5)+a(n+4)-a(n+3)+2*a(n+2)-8*a(n+1)-32*a(n),a(0)=1,a(1)=1,a(2)=0,a(3)=-1,a(4)=7} ogf] A360261 7.83993 [-(256*x^5+208*x^4+24*x^3-4*x^2+2*x+1)/(64*x^6+48*x^5+4*x^4-x^2-3*x-1) lgdogf] A360262 3.58976 [{a(n+5)+2*a(n+4)-2*a(n+3)+6*a(n+2)-54*a(n+1)-243*a(n),a(0)=1,a(1)=1,a(2)=0,a(3)=-4,a(4)=56} ogf] A360262 5.08042 [-(2916*x^5+1701*x^4+180*x^3-12*x^2+4*x+1)/(729*x^6+405*x^5+36*x^4-4*x^2-5*x-1) lgdogf] A360262 7.88802 [-(3*x+1)/(3*x-1)/(81*x^4+45*x^3+13*x^2+5*x+1) ogf] A360262 7.88802 [-(3*x+1)/(3*x-1)/(81*x^4+45*x^3+13*x^2+5*x+1) ogf] A360262 8.81603 [-(3*x+1)/(3*x-1)/(81*x^4+45*x^3+13*x^2+5*x+1) ogf] A360263 3.31698 [{-a(n+5)+2*a(n+4)+2*a(n+3)-2*a(n+2)-2*a(n+1)+a(n),a(0)=1,a(1)=3,a(2)=8,a(3)=20,a(4)=48} ogf] A360263 5.24399 [-(4*x^5-x^4-12*x^3-4*x^2+4*x+3)/(x^6-x^5-4*x^4+4*x^2+x-1) lgdogf] A360263 7.54271 [-(x+1)/(x-1)/(x^4-x^3-3*x^2-x+1) ogf] A360263 7.54272 [-(x+1)/(x-1)/(x^4-x^3-3*x^2-x+1) ogf] A360263 8.47105 [-(x+1)/(x-1)/(x^4-x^3-3*x^2-x+1) ogf] A360266 11.6878 [4*f(x)^2*x^3+4*f(x)^2*x-f(x)^2+1 ogf] A360266 14.1602 [-(6*x^2+2)/(4*x^3+4*x-1) lgdogf] A360266 22.313 [1/(-4*x^3-4*x+1)^(1/2) ogf] A360266 22.3130 [1/(-4*x^3-4*x+1)^(1/2) ogf] A360266 3.93759 [{4*a(n+3)*n-a(n+4)*n+4*a(n+1)*n+14*a(n+3)-4*a(n+4)+10*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=22} ogf] A360266 3.93759 [{-a(n+4)*n+4*a(n+3)*n+4*a(n+1)*n-4*a(n+4)+14*a(n+3)+10*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=22} ogf] A360267 11.4292 [-4*f(x)^2*x^4-4*f(x)^2*x+f(x)^2-1 ogf] A360267 13.8469 [-(8*x^3+2)/(4*x^4+4*x-1) lgdogf] A360267 21.8193 [1/(-4*x^4-4*x+1)^(1/2) ogf] A360267 21.8194 [1/(-4*x^4-4*x+1)^(1/2) ogf] A360267 3.6002 [{-4*a(n+4)*n-4*a(n+1)*n+a(n+5)*n-18*a(n+4)-12*a(n+1)+5*a(n+5),a(0)=1,a(1)=2,a(2)=6,a(3)=20,a(4)=72} ogf] A360267 3.6002 [{a(n+5)*n-4*a(n+4)*n-4*a(n+1)*n+5*a(n+5)-18*a(n+4)-12*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=20,a(4)=72} ogf] A360271 12.4816 [f(x)^2*x^4-f(x)^2*x+f(x)-1 ogf] A360272 12.764 [-f(x)^2*x^4-f(x)^2*x+f(x)-1 ogf] A360273 2.74813 [{-a(n+4)*n+4*a(n+3)*n+a(n+2)*n-4*a(n+1)*n-5*a(n+4)+14*a(n+3)+5*a(n+2)-14*a(n+1),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A360273 2.74813 [{-a(n+4)*n+4*a(n+3)*n-4*a(n+1)*n+a(n+2)*n-5*a(n+4)+14*a(n+3)-14*a(n+1)+5*a(n+2),a(0)=1,a(1)=1,a(2)=3,a(3)=6} ogf] A360273 8.20871 [-1/2*I*((4*x-1)^(1/2)-I)/x/(x+1)/(x-1) ogf] A360273 8.20871 [1/2*I*(I-(4*x-1)^(1/2))/(x-1)/x/(x+1) ogf] A360274 3.05795 [{-4*a(n+4)*n+4*a(n+1)*n+a(n+5)*n-a(n+2)*n-18*a(n+4)+18*a(n+1)+6*a(n+5)-6*a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=15} ogf] A360274 3.05795 [{a(n+5)*n-4*a(n+4)*n-a(n+2)*n+4*a(n+1)*n+6*a(n+5)-18*a(n+4)-6*a(n+2)+18*a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=15} ogf] A360274 8.74213 [-1/2*I*((4*x-1)^(1/2)-I)/(x-1)/(x^2+x+1)/x ogf] A360274 8.74214 [-1/2*I*((4*x-1)^(1/2)-I)/x/(x^2+x+1)/(x-1) ogf] A360274 9.52668 [RootOf(x^2-x+_Z+(-2*x^2+x)*_Z^3+x^2*_Z^6) revogf] A360278 13.9704 [-(x^3-4*x^2+4*x+4)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A360278 13.9704 [-(x^3-4*x^2+4*x+4)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A360278 15.4219 [-(x^3-4*x^2+4*x+4)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A360278 9.42449 [-(175*f(x)-29)*(f(x)*x^4-3*f(x)*x^3+x^3+3*f(x)*x-4*x^2-f(x)+4*x+4) ogf] A360278 9.89572 [{-a(n+4)+3*a(n+3)-3*a(n+1)+a(n),a(0)=4,a(1)=16,a(2)=44,a(3)=121} ogf] A360290 10.3708 [f(x)^2*x^2+4*f(x)^2*x-f(x)^2-x^2+1 ogf] A360290 10.8284 [-(-2*x^2-2)/(x^4+4*x^3-2*x^2-4*x+1) lgdogf] A360290 2.96907 [{a(n+4)*n+4*a(n+1)*n-4*a(n+3)*n-2*a(n+2)*n+a(n)*n+4*a(n+4)+2*a(n+1)-14*a(n+3)-4*a(n+2),a(0)=1,a(1)=2,a(2)=6,a(3)=22} ogf] A360290 2.96907 [{a(n+4)*n-4*a(n+3)*n-2*a(n+2)*n+4*a(n+1)*n+a(n)*n+4*a(n+4)-14*a(n+3)-4*a(n+2)+2*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=22} ogf] A360290 8.6627 [-1/(x^2+4*x-1)*((x^2+4*x-1)*(x-1)*(x+1))^(1/2) ogf] A360290 8.66270 [-1/(x^2+4*x-1)*((x^2+4*x-1)*(x-1)*(x+1))^(1/2) ogf] A360291 10.1414 [-f(x)^2*x^3-4*f(x)^2*x+x^3+f(x)^2-1 ogf] A360291 10.5888 [-(-4*x^3-2)/(x^6+4*x^4-2*x^3-4*x+1) lgdogf] A360291 7.74235 [-1/(x^3+4*x-1)*((x^3+4*x-1)*(x-1)*(x^2+x+1))^(1/2) ogf] A360291 7.74236 [-1/(x^3+4*x-1)*((x^3+4*x-1)*(x-1)*(x^2+x+1))^(1/2) ogf] A360292 10.0496 [-f(x)^2*x^4+x^4-4*f(x)^2*x+f(x)^2-1 ogf] A360292 10.4930 [-(-6*x^4-2)/(x^8+4*x^5-2*x^4-4*x+1) lgdogf] A360292 7.06458 [-1/(x^4+4*x-1)*((x^4+4*x-1)*(x-1)*(x+1)*(x^2+1))^(1/2) ogf] A360292 7.06459 [-1/(x^4+4*x-1)*((x^4+4*x-1)*(x-1)*(x+1)*(x^2+1))^(1/2) ogf] A360293 10.1584 [1/(x^2-4*x+1)*((x^2-4*x+1)*(x^2+1))^(1/2) ogf] A360293 10.1584 [1/(x^2-4*x+1)*((x^2-4*x+1)*(x^2+1))^(1/2) ogf] A360293 10.4446 [f(x)^2*x^2-4*f(x)^2*x+f(x)^2-x^2-1 ogf] A360293 10.9054 [-(2*x^2-2)/(x^4-4*x^3+2*x^2-4*x+1) lgdogf] A360293 2.99017 [{a(n+4)*n-4*a(n+1)*n-4*a(n+3)*n+2*a(n+2)*n+a(n)*n+4*a(n+4)-2*a(n+1)-14*a(n+3)+4*a(n+2),a(0)=1,a(1)=2,a(2)=6,a(3)=18} ogf] A360293 2.99017 [{a(n+4)*n-4*a(n+3)*n+2*a(n+2)*n-4*a(n+1)*n+a(n)*n+4*a(n+4)-14*a(n+3)+4*a(n+2)-2*a(n+1),a(0)=1,a(1)=2,a(2)=6,a(3)=18} ogf] A360294 10.8159 [-f(x)^2*x^3+4*f(x)^2*x+x^3-f(x)^2+1 ogf] A360294 11.2931 [-(4*x^3-2)/(x^6-4*x^4+2*x^3-4*x+1) lgdogf] A360294 8.62842 [1/(x^3-4*x+1)*((x^3-4*x+1)*(x+1)*(x^2-x+1))^(1/2) ogf] A360294 8.62843 [1/(x^3-4*x+1)*((x^3-4*x+1)*(x+1)*(x^2-x+1))^(1/2) ogf] A360295 10.5647 [1/(x^4-4*x+1)*((x^4-4*x+1)*(x^4+1))^(1/2) ogf] A360295 10.5647 [1/(x^4-4*x+1)*((x^4-4*x+1)*(x^4+1))^(1/2) ogf] A360295 10.8623 [f(x)^2*x^4-x^4-4*f(x)^2*x+f(x)^2-1 ogf] A360295 11.3416 [-(6*x^4-2)/(x^8-4*x^5+2*x^4-4*x+1) lgdogf] A360305 11.6665 [-(x^18-x^17+x^5-x^4+x-2)/(x-1)^2 ogf] A360309 11.5696 [-(4*x^3-6*x^2)/(4*x^4-4*x^3+x^2-2*x+1) lgdogf] A360309 12.4329 [-4*f(x)^2*x^3-f(x)^2*x+f(x)^2+x-1 ogf] A360309 8.5877 [-((2*x-1)*(2*x^2+x+1)*(x-1))^(1/2)/(2*x-1)/(2*x^2+x+1) ogf] A360309 8.58770 [-((2*x-1)*(2*x^2+x+1)*(x-1))^(1/2)/(2*x-1)/(2*x^2+x+1) ogf] A360310 10.3591 [-1/(4*x^4+x-1)*((4*x^4+x-1)*(x-1))^(1/2) ogf] A360310 10.5031 [-(6*x^4-8*x^3)/(4*x^5-4*x^4+x^2-2*x+1) lgdogf] A360313 10.7191 [-4*f(x)^2*x^2+f(x)^2*x-f(x)^2-x+1 ogf] A360313 11.9697 [-(2*x^2-4*x)/(4*x^3-5*x^2+2*x-1) lgdogf] A360313 3.14991 [{2*a(n+3)*n-5*a(n+2)*n+4*a(n+1)*n-a(n+4)*n+6*a(n+3)-14*a(n+2)+6*a(n+1)-4*a(n+4),a(0)=1,a(1)=0,a(2)=-2,a(3)=-2} ogf] A360313 3.14991 [{-a(n+4)*n+2*a(n+3)*n-5*a(n+2)*n+4*a(n+1)*n-4*a(n+4)+6*a(n+3)-14*a(n+2)+6*a(n+1),a(0)=1,a(1)=0,a(2)=-2,a(3)=-2} ogf] A360313 9.83808 [1/(4*x^2-x+1)*(-(4*x^2-x+1)*(x-1))^(1/2) ogf] A360313 9.83809 [1/(4*x^2-x+1)*(-(4*x^2-x+1)*(x-1))^(1/2) ogf] A360314 10.0371 [1/(4*x^3-x+1)*(-(4*x^3-x+1)*(x-1))^(1/2) ogf] A360314 10.1766 [-(4*x^3-6*x^2)/(4*x^4-4*x^3-x^2+2*x-1) lgdogf] A360314 10.936 [-4*f(x)^2*x^3+f(x)^2*x-f(x)^2-x+1 ogf] A360315 8.63195 [1/(4*x^4-x+1)*(-(4*x^4-x+1)*(x-1))^(1/2) ogf] A360315 8.75183 [-(6*x^4-8*x^3)/(4*x^5-4*x^4-x^2+2*x-1) lgdogf] A360317 13.1025 [-1/(6*x-1)*((6*x-1)*(2*x-1))^(1/2) ogf] A360317 13.1025 [-1/(6*x-1)*((6*x-1)*(2*x-1))^(1/2) ogf] A360317 15.2417 [-6*f(x)^2*x+f(x)^2+2*x-1 ogf] A360317 20.1849 [2/(12*x^2-8*x+1) lgdogf] A360317 5.49149 [{a(n+2)*n-8*a(n+1)*n+12*a(n)*n+2*a(n+2)-10*a(n+1),a(0)=1,a(1)=2} ogf] A360318 12.817 [-1/(7*x-1)*((7*x-1)*(3*x-1))^(1/2) ogf] A360318 12.8170 [-1/(7*x-1)*((7*x-1)*(3*x-1))^(1/2) ogf] A360318 14.9096 [-7*f(x)^2*x+f(x)^2+3*x-1 ogf] A360318 19.2255 [2/(21*x^2-10*x+1) lgdogf] A360318 5.33263 [{a(n+2)*n-10*a(n+1)*n+21*a(n)*n+2*a(n+2)-12*a(n+1),a(0)=1,a(1)=2} ogf] A360319 11.1098 [-1/(8*x-1)*((8*x-1)*(4*x-1))^(1/2) ogf] A360319 11.1098 [-1/(8*x-1)*((8*x-1)*(4*x-1))^(1/2) ogf] A360319 12.9237 [-8*f(x)^2*x+f(x)^2+4*x-1 ogf] A360319 16.6647 [2/(32*x^2-12*x+1) lgdogf] A360319 4.62234 [{a(n+2)*n-12*a(n+1)*n+32*a(n)*n+2*a(n+2)-14*a(n+1),a(0)=1,a(1)=2} ogf] A360321 11.6439 [-1/(9*x-1)*((9*x-1)*(5*x-1))^(1/2) ogf] A360321 11.644 [-1/(9*x-1)*((9*x-1)*(5*x-1))^(1/2) ogf] A360321 13.545 [-9*f(x)^2*x+f(x)^2+5*x-1 ogf] A360321 17.4659 [2/(45*x^2-14*x+1) lgdogf] A360321 4.84457 [{45*a(n)*n+a(n+2)*n-14*a(n+1)*n+2*a(n+2)-16*a(n+1),a(0)=1,a(1)=2} ogf] A360321 4.84457 [{a(n+2)*n-14*a(n+1)*n+45*a(n)*n+2*a(n+2)-16*a(n+1),a(0)=1,a(1)=2} ogf] A360322 13.5856 [1/(x+1)*((x+1)*(5*x+1))^(1/2) ogf] A360322 13.5856 [1/(x+1)*((x+1)*(5*x+1))^(1/2) ogf] A360322 14.6947 [f(x)^2*x+f(x)^2-5*x-1 ogf] A360322 20.0011 [2/(5*x^2+6*x+1) lgdogf] A360322 5.37343 [{-5*a(n)*n-a(n+2)*n-6*a(n+1)*n-2*a(n+2)-4*a(n+1),a(0)=1,a(1)=2} ogf] A360322 5.37343 [{-a(n+2)*n-6*a(n+1)*n-5*a(n)*n-2*a(n+2)-4*a(n+1),a(0)=1,a(1)=2} ogf] A360360 2.16989 [(2*x^3-2*x-1)/(2*x^2-1) ogf] A360360 2.16989 [(2*x^3-2*x-1)/(2*x^2-1) ogf] A360360 2.63906 [(2*x^3-2*x-1)/(2*x^2-1) ogf] A360384 11.681 [-(f(x)*x-f(x)+1)^3 egf] A360416 12.0268 [-(20*x^2+26*x+2)/(20*x^3-27*x^2+10*x-3) lgdogf] A360416 12.521 [-(3*x^2+11*x+2)/(x-1)^3 ogf] A360416 15.157 [-(3*x^2+11*x+2)/(x-1)^3 ogf] A360416 18.0402 [-(20*x^2-7*x+3)/(x-1)^3 ogf] A360416 4.68265 [(598784*f(x)-4294623)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+3*x^2-f(x)+11*x+2) ogf] A360416 5.43365 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=2,a(1)=17,a(2)=48} ogf] A360416 8.29852 [{(-8*n^2-7*n-2)*a(n)+(8*n^2-9*n+3)*a(n+1) a(0) = 3} ogf] A360417 12.2597 [-(17*x^2+28*x+3)/(17*x^3-20*x^2+5*x-2) lgdogf] A360417 12.5983 [-(2*x^2+11*x+3)/(x-1)^3 ogf] A360417 15.2506 [-(2*x^2+11*x+3)/(x-1)^3 ogf] A360417 18.1230 [-(17*x^2-3*x+2)/(x-1)^3 ogf] A360417 4.71156 [(672512*f(x)-5291169)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+2*x^2-f(x)+11*x+3) ogf] A360417 5.46719 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=3,a(1)=20,a(2)=53} ogf] A360417 8.33659 [{(-8*n^2-9*n-3)*a(n)+(8*n^2-7*n+2)*a(n+1) a(0) = 2} ogf] A360418 5.03516 [-(x^8+x^7+x^6+2*x^5+6*x^4+2*x^3+x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A360418 5.39163 [-(x^8+x^7+x^6+2*x^5+6*x^4+2*x^3+x^2+x+1)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A360436 15.7681 [-(58*x+32)/(29*x^2-28*x-1) lgdogf] A360436 19.5224 [-x*(29*x+1)/(x-1)^3 ogf] A360436 19.5224 [-x*(29*x+1)/(x-1)^3 ogf] A360436 24.1159 [-x*(29*x+1)/(x-1)^3 ogf] A360436 6.55953 [-(2540700*f(x)-25137931)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+29*x^2-f(x)+x) ogf] A360436 7.38686 [{(-15*n^2-16*n-1)*a(n)+(15*n^2-14*n)*a(n+1) a(0) = 0 a(1) = 1} ogf] A360436 7.88405 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=32} ogf] A360463 14.4936 [(f(x)*x-f(x)+1)^2 egf] A360464 8.62795 [(12*x^26-12*x^25+4*x^9-4*x^8-2*x^3+x^2+x-1)/(x+1)/(x-1)^3 ogf] A360464 8.62795 [(12*x^26-12*x^25+4*x^9-4*x^8-2*x^3+x^2+x-1)/(x+1)/(x-1)^3 ogf] A360464 9.4035 [(12*x^26-12*x^25+4*x^9-4*x^8-2*x^3+x^2+x-1)/(x+1)/(x-1)^3 ogf] A360467 11.3179 [-2*(x^2-6*x+2)/(x-1)/(x^2-7*x+1) ogf] A360467 11.318 [-2*(x^2-6*x+2)/(x-1)/(x^2-7*x+1) ogf] A360467 12.9065 [-2*(x^2-6*x+2)/(x-1)/(x^2-7*x+1) ogf] A360467 6.28776 [(2376*f(x)+571)*(f(x)*x^3-8*f(x)*x^2+8*f(x)*x+2*x^2-f(x)-12*x+4) ogf] A360467 6.39711 [{-a(n)+8*a(n+1)-8*a(n+2)+a(n+3) a(0) = 4 a(1) = 20 a(2) = 130} ogf] A360467 6.8754 [{-a(n+3)+8*a(n+2)-8*a(n+1)+a(n),a(0)=4,a(1)=20,a(2)=130} ogf] A360467 7.07373 [-(x^4-12*x^3+46*x^2-30*x+10)/(x^5-14*x^4+58*x^3-65*x^2+22*x-2) lgdogf] A360488 16.3011 [-(56*x+31)/(28*x^2-27*x-1) lgdogf] A360488 20.1823 [-x*(28*x+1)/(x-1)^3 ogf] A360488 20.1823 [-x*(28*x+1)/(x-1)^3 ogf] A360488 24.9311 [-x*(28*x+1)/(x-1)^3 ogf] A360488 6.78127 [-(1110961*f(x)-10621845)*(f(x)*x^3-3*f(x)*x^2+3*f(x)*x+28*x^2-f(x)+x) ogf] A360488 7.63656 [{(-29*n^2-31*n-2)*a(n)+(29*n^2-27*n)*a(n+1) a(0) = 0 a(1) = 1} ogf] A360488 8.15056 [{a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=31} ogf] A360501 7.90917 [-x*(x^7-x^6-x^5-2*x^4-3*x^3-x^2-x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A360501 7.90918 [-x*(x^7-x^6-x^5-2*x^4-3*x^3-x^2-x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A360501 8.48967 [-x*(x^7-x^6-x^5-2*x^4-3*x^3-x^2-x-1)/(x^2+1)/(x-1)^2/(x+1)^2 ogf] A360506 4.17129 [-(2066242608*x^9+114791256*x^8+10628820*x^7+944784*x^6+78732*x^5+5832*x^4+3240*x^3+432*x^2-48*x+1)/(x-1)/(-1+27*x)^2 ogf] A360506 4.39676 [-(2066242608*x^9+114791256*x^8+10628820*x^7+944784*x^6+78732*x^5+5832*x^4+3240*x^3+432*x^2-48*x+1)/(x-1)/(-1+27*x)^2 ogf] A360509 13.2208 [-(3*x^2-26)/(x^3-26*x+1) lgdogf] A360509 23.7973 [1/(x^3-26*x+1) ogf] A360509 23.7974 [1/(x^3-26*x+1) ogf] A360509 32.451 [1/(x^3-26*x+1) ogf] A360509 7.28491 [{a(n)-26*a(n+2)+a(n+3) a(0) = 1 a(1) = 26 a(2) = 676} ogf] A360509 7.93246 [{-a(n+3)+26*a(n+2)-a(n),a(0)=1,a(1)=26,a(2)=676} ogf] A360509 8.30142 [-(f(x)-1)*(f(x)*x^3-26*f(x)*x+f(x)-1) ogf] A360512 8.05032 [x*(x^7-x^6-x^5-2*x^4-3*x^3-x^2-x-1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A360512 8.05032 [x*(x^7-x^6-x^5-2*x^4-3*x^3-x^2-x-1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A360512 8.66368 [x*(x^7-x^6-x^5-2*x^4-3*x^3-x^2-x-1)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A360518 10.8186 [(220*x^4-127*x^3-55*x^2-13*x+2)/(10*x-1)/(x-1) ogf] A360518 5.07357 [(51094845806400*f(x)-1105251630170863)*(-220*x^4+10*f(x)*x^2+127*x^3-11*f(x)*x+55*x^2+f(x)+13*x-2) ogf] A360518 5.93281 [{a(n+5)-11*a(n+4)+10*a(n+3),a(0)=2,a(1)=9,a(2)=24,a(3)=47,a(4)=497} ogf] A360518 9.67984 [(220*x^4-127*x^3-55*x^2-13*x+2)/(10*x-1)/(x-1) ogf] A360518 9.67984 [(220*x^4-127*x^3-55*x^2-13*x+2)/(10*x-1)/(x-1) ogf] A360575 5.59681 [-(6*x^4-11*x^3-4*x^2+8*x-1)/(42*x^6-65*x^5-100*x^4+157*x^3-21*x^2-16*x+1) ogf] A360575 5.59681 [-(6*x^4-11*x^3-4*x^2+8*x-1)/(42*x^6-65*x^5-100*x^4+157*x^3-21*x^2-16*x+1) ogf] A360575 6.03578 [-(6*x^4-11*x^3-4*x^2+8*x-1)/(42*x^6-65*x^5-100*x^4+157*x^3-21*x^2-16*x+1) ogf] A360576 5.80853 [-(16*x^3-4*x^2+9*x-1)/(128*x^6-384*x^5-192*x^4+214*x^3-28*x^2-15*x+1) ogf] A360576 5.80854 [-(16*x^3-4*x^2+9*x-1)/(128*x^6-384*x^5-192*x^4+214*x^3-28*x^2-15*x+1) ogf] A360576 6.29258 [-(16*x^3-4*x^2+9*x-1)/(128*x^6-384*x^5-192*x^4+214*x^3-28*x^2-15*x+1) ogf] A360577 3.69692 [{a(n+6)-8*a(n+5)-51*a(n+4)-27*a(n+3)+96*a(n+2)+43*a(n+1)-66*a(n),a(0)=1,a(1)=3,a(2)=60,a(3)=657,a(4)=8311,a(5)=101284} ogf] A360577 7.18845 [-(10*x^4-3*x^3-15*x^2-5*x+1)/(66*x^6-43*x^5-96*x^4+27*x^3+51*x^2+8*x-1) ogf] A360577 7.18846 [-(10*x^4-3*x^3-15*x^2-5*x+1)/(66*x^6-43*x^5-96*x^4+27*x^3+51*x^2+8*x-1) ogf] A360577 7.76353 [-(10*x^4-3*x^3-15*x^2-5*x+1)/(66*x^6-43*x^5-96*x^4+27*x^3+51*x^2+8*x-1) ogf] A360586 10.5129 [x*(11*x^3-14*x^2+6*x-1)/(-1+3*x)/(2*x-1)^2/(x-1)^2 ogf] A360586 4.41665 [{-a(n+5)+9*a(n+4)-31*a(n+3)+51*a(n+2)-40*a(n+1)+12*a(n),a(0)=0,a(1)=1,a(2)=3,a(3)=10,a(4)=37} ogf] A360586 9.44827 [x*(11*x^3-14*x^2+6*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A360586 9.44828 [x*(11*x^3-14*x^2+6*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A360588 10.2483 [2*x^3*(4*x^5-14*x^4+15*x^3+2*x^2-9*x+3)/(2*x-1)^3/(x-1)^3 ogf] A360588 10.2484 [2*x^3*(4*x^5-14*x^4+15*x^3+2*x^2-9*x+3)/(2*x-1)^3/(x-1)^3 ogf] A360588 11.2862 [2*x^3*(4*x^5-14*x^4+15*x^3+2*x^2-9*x+3)/(2*x-1)^3/(x-1)^3 ogf] A360602 6.19163 [{(-16*n^3-64*n^2-84*n-36)*a(n)+(n+2)*a(n+1) a(0) = 1} ogf] A360605 12.6365 [x*(4*x^2-x-1)/(2*x+1)^2/(x-1)^3 ogf] A360605 12.6365 [x*(4*x^2-x-1)/(2*x+1)^2/(x-1)^3 ogf] A360605 14.6996 [x*(4*x^2-x-1)/(2*x+1)^2/(x-1)^3 ogf] A360605 4.47379 [{a(n+5)+a(n+4)-5*a(n+3)-a(n+2)+8*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=0,a(3)=1,a(4)=0} ogf] A360605 9.35430 [-(24*x^3-4*x^2-2*x)/(8*x^4-6*x^3-5*x^2+2*x+1) lgdogf] A360606 12.6663 [-x*(4*x^2-3*x+1)/(2*x-1)^2/(x-1)^3 ogf] A360606 12.6663 [-x*(4*x^2-3*x+1)/(2*x-1)^2/(x-1)^3 ogf] A360606 14.5782 [-x*(4*x^2-3*x+1)/(2*x-1)^2/(x-1)^3 ogf] A360606 4.59909 [{a(n+5)-7*a(n+4)+19*a(n+3)-25*a(n+2)+16*a(n+1)-4*a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=13,a(4)=40} ogf] A360606 9.08998 [-(24*x^3-28*x^2+14*x-4)/(8*x^4-18*x^3+15*x^2-6*x+1) lgdogf] A360608 4.12334 [{a(n+6)-3*a(n+5)-3*a(n+4)+10*a(n+3)+3*a(n+2)-5*a(n+1)-a(n),a(0)=1,a(1)=0,a(2)=2,a(3)=1,a(4)=8,a(5)=12} ogf] A360608 7.30955 [-(2*x-1)*(x+1)*(x^2+2*x-1)/(x^6+5*x^5-3*x^4-10*x^3+3*x^2+3*x-1) ogf] A360608 7.30955 [-(2*x-1)*(x+1)*(x^2+2*x-1)/(x^6+5*x^5-3*x^4-10*x^3+3*x^2+3*x-1) ogf] A360608 7.88285 [-(2*x-1)*(x+1)*(x^2+2*x-1)/(x^6+5*x^5-3*x^4-10*x^3+3*x^2+3*x-1) ogf] A360644 5.76671 [-(10*x^4-13*x^3-18*x^2-16*x+1)/(66*x^6-79*x^5+30*x^4-497*x^3+195*x^2+28*x-1) ogf] A360644 5.76672 [-(10*x^4-13*x^3-18*x^2-16*x+1)/(66*x^6-79*x^5+30*x^4-497*x^3+195*x^2+28*x-1) ogf] A360644 6.20609 [-(10*x^4-13*x^3-18*x^2-16*x+1)/(66*x^6-79*x^5+30*x^4-497*x^3+195*x^2+28*x-1) ogf] A360645 12.5889 [-(2*x-1)/(18*x^3-15*x^2-5*x+1) ogf] A360645 12.589 [-(2*x-1)/(18*x^3-15*x^2-5*x+1) ogf] A360645 14.7318 [-(2*x-1)/(18*x^3-15*x^2-5*x+1) ogf] A360645 6.02081 [-(12573*f(x)-724)*(18*f(x)*x^3-15*f(x)*x^2-5*f(x)*x+f(x)+2*x-1) ogf] A360645 6.02081 [{18*a(n)-15*a(n+1)-5*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 30} ogf] A360645 6.47097 [{-a(n+3)+5*a(n+2)+15*a(n+1)-18*a(n),a(0)=1,a(1)=3,a(2)=30} ogf] A360645 8.14580 [-(72*x^3-84*x^2+30*x+3)/(36*x^4-48*x^3+5*x^2+7*x-1) lgdogf] A360705 5.46511 [(x^6+x^5-2*x^4+x^3-2*x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x^2-x-1) ogf] A360705 5.79384 [(x^6+x^5-2*x^4+x^3-2*x^2+x+1)/(x^2+x+1)/(x^2-x+1)/(x^2+x-1)/(x^2-x-1) ogf] A360715 10.7573 [-(42*x^3-45*x^2+18*x-3)/(21*x^4-43*x^3+30*x^2-9*x+1) lgdogf] A360715 17.4552 [(7*x^2-5*x+1)/(3*x-1)^2/(x-1)^2 ogf] A360715 17.4552 [(7*x^2-5*x+1)/(3*x-1)^2/(x-1)^2 ogf] A360715 20.5583 [(7*x^2-5*x+1)/(-1+3*x)^2/(x-1)^2 ogf] A360715 6.75274 [{-a(n+4)+8*a(n+3)-22*a(n+2)+24*a(n+1)-9*a(n),a(0)=1,a(1)=3,a(2)=9,a(3)=30} ogf] A360715 7.00853 [(10*f(x)+7)*(9*f(x)*x^4-24*f(x)*x^3+22*f(x)*x^2-8*f(x)*x-7*x^2+f(x)+5*x-1) ogf] A360716 10.674 [-x^3*(197*x^4-288*x^3+156*x^2-36*x+3)/(x-1)^3/(-1+3*x)^3/(5*x-1)^3 ogf] A360716 9.78451 [-x^3*(197*x^4-288*x^3+156*x^2-36*x+3)/(x-1)^3/(3*x-1)^3/(5*x-1)^3 ogf] A360716 9.78452 [-x^3*(197*x^4-288*x^3+156*x^2-36*x+3)/(x-1)^3/(3*x-1)^3/(5*x-1)^3 ogf] A360717 8.03187 [-x*(1947*x^6-3213*x^5+2241*x^4-850*x^3+183*x^2-21*x+1)/(x-1)^3/(3*x-1)^3/(5*x-1)^3 ogf] A360717 8.03187 [-x*(1947*x^6-3213*x^5+2241*x^4-850*x^3+183*x^2-21*x+1)/(x-1)^3/(3*x-1)^3/(5*x-1)^3 ogf] A360717 8.61075 [-x*(1947*x^6-3213*x^5+2241*x^4-850*x^3+183*x^2-21*x+1)/(x-1)^3/(-1+3*x)^3/(5*x-1)^3 ogf] A360786 10.9665 [2*x*(88*x^3-46*x^2+3*x+1)/(4*x-1)^3/(2*x-1)^3 ogf] A360786 10.9665 [2*x*(88*x^3-46*x^2+3*x+1)/(4*x-1)^3/(2*x-1)^3 ogf] A360786 12.3591 [2*x*(88*x^3-46*x^2+3*x+1)/(4*x-1)^3/(2*x-1)^3 ogf] A360786 6.83002 [-(2112*x^4-1472*x^3+132*x^2+104*x-21)/(704*x^5-896*x^4+388*x^3-56*x^2-3*x+1) lgdogf] A360848 12.4993 [(x^3-3*x^2-5*x-3)/(x+1)/(2*x-1) ogf] A360848 12.4994 [(x^3-3*x^2-5*x-3)/(x+1)/(2*x-1) ogf] A360848 14.3861 [(x^3-3*x^2-5*x-3)/(x+1)/(2*x-1) ogf] A360848 6.86903 [-(4001*f(x)+6774)*(2*f(x)*x^2-x^3+f(x)*x+3*x^2-f(x)+5*x+3) ogf] A360848 7.05983 [{a(n+4)-a(n+3)-2*a(n+2),a(0)=3,a(1)=8,a(2)=17,a(3)=32} ogf] A360848 7.78023 [-(-2*x^4-2*x^3-4*x^2-18*x-8)/(2*x^5-5*x^4-14*x^3-8*x^2+2*x+3) lgdogf] A360856 6.61947 [4*f(x)^2*x^2+2*f(x)^2*x-4*f(x)*x^2-f(x)^2-2*f(x)*x+x^2+f(x)+x ogf] A360856 7.37598 [-1/2*(-4*x^2+(-(2*x+1)*(4*x^2+2*x-1))^(1/2)-2*x+1)/(4*x^2+2*x-1) ogf] A360856 7.37598 [-1/2*(-4*x^2+(-(2*x+1)*(4*x^2+2*x-1))^(1/2)-2*x+1)/(4*x^2+2*x-1) ogf] A360874 10.6994 [(26*x^2-17*x+3)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A360874 5.34968 [{-a(n+4)+10*a(n+3)-35*a(n+2)+50*a(n+1)-24*a(n),a(0)=3,a(1)=13,a(2)=51,a(3)=205} ogf] A360874 5.4261 [(121*f(x)+1016)*(24*f(x)*x^4-50*f(x)*x^3+35*f(x)*x^2-10*f(x)*x-26*x^2+f(x)+17*x-3) ogf] A360874 9.61588 [(26*x^2-17*x+3)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A360874 9.61588 [(26*x^2-17*x+3)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A360876 10.9628 [-3*(8*x^2-5*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A360876 10.9628 [-3*(8*x^2-5*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A360876 12.4006 [-3*(8*x^2-5*x+1)/(x-1)/(3*x-1)/(4*x-1) ogf] A360876 6.30363 [-(f(x)+12)*(12*f(x)*x^3-19*f(x)*x^2+8*f(x)*x+24*x^2-f(x)-15*x+3) ogf] A360876 6.57770 [{-12*a(n)+19*a(n+1)-8*a(n+2)+a(n+3) a(0) = 3 a(1) = 9 a(2) = 39} ogf] A360876 7.00405 [-(96*x^4-120*x^3+67*x^2-22*x+3)/(96*x^5-212*x^4+171*x^3-67*x^2+13*x-1) lgdogf] A360876 7.06949 [{a(n+3)-8*a(n+2)+19*a(n+1)-12*a(n),a(0)=3,a(1)=9,a(2)=39} ogf] A360927 12.1877 [x*(2*x+1)*(2*x^2+x+1)/(x+1)/(x-1)^2 ogf] A360927 12.1877 [x*(2*x+1)*(2*x^2+x+1)/(x+1)/(x-1)^2 ogf] A360927 13.7861 [x*(2*x+1)*(2*x^2+x+1)/(x+1)/(x-1)^2 ogf] A360927 6.18349 [{a(n+5)-a(n+4)-a(n+3)+a(n+2),a(0)=0,a(1)=1,a(2)=4,a(3)=9,a(4)=16} ogf] A360927 6.56996 [(1056*f(x)+469)*(f(x)*x^3-4*x^4-f(x)*x^2-4*x^3-f(x)*x-3*x^2+f(x)-x) ogf] A360927 9.34393 [-(8*x^3+22*x^2+14*x+4)/(4*x^5+4*x^4-x^3-3*x^2-3*x-1) lgdogf] A360951 14.8042 [x^2*(2*x^3-4*x^2+1)/(2*x-1)^2/(x-1)^2 ogf] A360951 14.8042 [x^2*(2*x^3-4*x^2+1)/(2*x-1)^2/(x-1)^2 ogf] A360951 17.0388 [x^2*(2*x^3-4*x^2+1)/(2*x-1)^2/(x-1)^2 ogf] A360951 5.37535 [{a(n+6)-6*a(n+5)+13*a(n+4)-12*a(n+3)+4*a(n+2),a(0)=0,a(1)=0,a(2)=1,a(3)=6,a(4)=19,a(5)=50} ogf] A360951 9.03059 [-(4*x^4-10*x^3-6*x^2+16*x-6)/(4*x^5-14*x^4+14*x^3-2*x^2-3*x+1) lgdogf] A360991 24.8569 [x+exp(x) lgdegf] A361008 9.60272 [x^2*(2*x^4-x^3+4*x^2+2)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf_with_Euler_transform] A361011 4.30575 [-(f(x)-1)^3 ogf] A361028 13.1598 [2*hypergeom([1/3,2/3],[2,2],27*x) egf] A361028 7.22500 [{(-27*n^2-27*n-6)*a(n)+(n^2+4*n+4)*a(n+1) a(0) = 2} ogf] A361029 12.6662 [30*hypergeom([1/3,2/3],[3,3],27*x) egf] A361029 7.00943 [{(-27*n^2-27*n-6)*a(n)+(n^2+6*n+9)*a(n+1) a(0) = 30} ogf] A361030 12.706 [560*hypergeom([1/3,2/3],[4,4],27*x) egf] A361030 7.01857 [{(-27*n^2-27*n-6)*a(n)+(n^2+8*n+16)*a(n+1) a(0) = 560} ogf] A361031 12.5821 [11550*hypergeom([1/3,2/3],[5,5],27*x) egf] A361031 6.99004 [{(-27*n^2-27*n-6)*a(n)+(n^2+10*n+25)*a(n+1) a(0) = 11550} ogf] A361033 3.02356 [{a(n+2)*n^3-256*a(n+1)*n^3+9*a(n+2)*n^2-1152*a(n+1)*n^2+27*a(n+2)*n-1712*a(n+1)*n+27*a(n+2)-840*a(n+1),a(0)=3,a(1)=9} ogf] A361033 8.45138 [-1/8*(-1+hypergeom([-3/4,-1/2,-1/4],[1,1],256*x))/x ogf] A361034 2.97147 [{a(n+2)*n^3-256*a(n+1)*n^3+12*a(n+2)*n^2-1152*a(n+1)*n^2+48*a(n+2)*n-1712*a(n+1)*n+64*a(n+2)-840*a(n+1),a(0)=315,a(1)=280} ogf] A361034 7.91278 [1/8*(840*x-1+hypergeom([-7/4,-3/2,-5/4],[1,1],256*x))/x^2 ogf] A361035 2.6521 [{a(n+2)*n^3-256*a(n+1)*n^3+15*a(n+2)*n^2-1152*a(n+1)*n^2+75*a(n+2)*n-1712*a(n+1)*n+125*a(n+2)-840*a(n+1),a(0)=46200,a(1)=17325} ogf] A361035 6.17123 [-1/8*(-415800*x^2+hypergeom([-11/4,-5/2,-9/4],[1,1],256*x)+3960*x-1)/x^3 ogf] A361037 3.47963 [{-4*a(n+2)*n^2+27*a(n+1)*n^2-22*a(n+2)*n+81*a(n+1)*n-24*a(n+2)+60*a(n+1),a(0)=10,a(1)=10} ogf] A361037 3.75886 [x^4*f(x)^3-20*f(x)^2*x^3+2*f(x)^2*x^2+90*f(x)*x^3+90*f(x)*x^2+216*x^3-20*f(x)*x-925*x^2+f(x)+190*x-10 ogf] A361037 5.85514 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+14*n+6)*a(n+1) a(0) = 10} ogf] A361038 3.42294 [{-4*a(n+2)*n^2+27*a(n+1)*n^2-26*a(n+2)*n+81*a(n+1)*n-30*a(n+2)+60*a(n+1),a(0)=280,a(1)=210} ogf] A361038 5.77009 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+18*n+8)*a(n+1) a(0) = 280} ogf] A361039 3.52076 [{-4*a(n+2)*n^2+27*a(n+1)*n^2-30*a(n+2)*n+81*a(n+1)*n-36*a(n+2)+60*a(n+1),a(0)=2310,a(1)=1386} ogf] A361039 5.88987 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+22*n+10)*a(n+1) a(0) = 2310} ogf] A361040 3.61926 [{-4*a(n+2)*n^2+27*a(n+1)*n^2-26*a(n+2)*n+81*a(n+1)*n-42*a(n+2)+60*a(n+1),a(0)=70,a(1)=21} ogf] A361040 4.76218 [-f(x)^3*x^3-210*f(x)^2*x^2+51030*f(x)*x^2-4305*f(x)*x-2460375*x^2+256*f(x)+295974*x-17920 ogf] A361040 6.03209 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+18*n+20)*a(n+1) a(0) = 70} ogf] A361041 3.50802 [-x^4*f(x)^3-420*f(x)^2*x^3-14*f(x)^2*x^2+91854*f(x)*x^3-7770*f(x)*x^2-4251528*x^3+1156*f(x)*x+597051*x^2-49*f(x)-80234*x+3430 ogf] A361041 3.66838 [{-4*a(n+2)*n^2+27*a(n+1)*n^2-30*a(n+2)*n+81*a(n+1)*n-56*a(n+2)+60*a(n+1),a(0)=70,a(1)=14} ogf] A361041 6.11397 [{(-27*n^2-27*n-6)*a(n)+(4*n^2+22*n+30)*a(n+1) a(0) = 70} ogf] A361099 12.5131 [-(4*x^3+12*x^2+4)/(2*x^4-3*x^2+2*x-1) lgdogf] A361099 15.1473 [-x*(2*x^3+2*x^2-x+1)/(x-1)^5 ogf] A361099 17.6204 [-x*(2*x^3+2*x^2-x+1)/(x-1)^5 ogf] A361099 5.17007 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=0,a(1)=1,a(2)=4,a(3)=12,a(4)=32} ogf] A361134 10.8267 [(2*x^5-7*x^4+9*x^3+2*x^2-x+1)/(x^2+x+1)/(x-1)^4 ogf] A361134 4.23177 [{-a(n+6)+3*a(n+5)-3*a(n+4)+2*a(n+3)-3*a(n+2)+3*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=5,a(3)=20,a(4)=39,a(5)=66} ogf] A361134 9.80775 [(2*x^5-7*x^4+9*x^3+2*x^2-x+1)/(x^2+x+1)/(x-1)^4 ogf] A361157 2.31754 [-x^15/(4*x^7-3*x^6+x^4+x-1) ogf] A361161 2.21807 [-x^11/(x^4+x-1) ogf] A361185 12.0931 [-x^2*(19*x^3+167*x^2+159*x+15)/(x-1)^7 ogf] A361185 13.8521 [-x^2*(19*x^3+167*x^2+159*x+15)/(x-1)^7 ogf] A361185 8.10499 [-(76*x^3+892*x^2+1288*x+264)/(19*x^4+148*x^3-8*x^2-144*x-15) lgdogf] A361202 10.0084 [-(x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A361202 9.10876 [-(x^2-x+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^3 ogf] A361230 12.2984 [-x*(x^4-x^3+2*x^2-2*x-1)/(x-1)^4 ogf] A361230 14.0245 [-x*(x^4-x^3+2*x^2-2*x-1)/(x-1)^4 ogf] A361230 4.75833 [{-a(n+6)+4*a(n+5)-6*a(n+4)+4*a(n+3)-a(n+2),a(0)=0,a(1)=1,a(2)=6,a(3)=16,a(4)=33,a(5)=58} ogf] A361230 9.08408 [-(3*x^3+x^2-2*x-6)/(x^5-2*x^4+3*x^3-4*x^2+x+1) lgdogf] A361263 8.03432 [-x*(x^8+30*x^7-4*x^6+150*x^5+6*x^4+150*x^3-4*x^2+30*x+1)/(x+1)^6/(x-1)^7 ogf] A361263 8.63502 [-x*(x^8+30*x^7-4*x^6+150*x^5+6*x^4+150*x^3-4*x^2+30*x+1)/(x+1)^6/(x-1)^7 ogf] A361270 12.8842 [x^2*(2*x^4+x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A361270 14.6926 [x^2*(2*x^4+x^2+2*x+1)/(x-1)^4/(x+1)^4 ogf] A361270 9.20308 [-(8*x^5+14*x^3+14*x^2+10*x+2)/(2*x^6-x^4+2*x^3-2*x-1) lgdogf] A361271 13.0657 [x^2*(x^4+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A361271 14.8995 [x^2*(x^4+x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A361271 9.54242 [-(3*x^5+x^4+9*x^3+7*x^2+10*x+2)/(x^6+x^3-x-1) lgdogf] A361272 12.9397 [-(2*x^4-4*x^3+2*x-1)/(x+1)/(x-1)^4 ogf] A361272 14.7559 [-(2*x^4-4*x^3+2*x-1)/(x+1)/(x-1)^4 ogf] A361272 5.12857 [{a(n+5)-3*a(n+4)+2*a(n+3)+2*a(n+2)-3*a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3,a(4)=6} ogf] A361272 7.50968 [-(2*x^5-2*x^4-4*x^3-4*x^2+x-1)/(2*x^6-4*x^5-2*x^4+6*x^3-x^2-2*x+1) lgdogf] A361273 9.07967 [-(x^7+2*x^6-7*x^5-8*x^4+x^3+3*x^2-x-1)/(x-1)^4/(x+1)^4 ogf] A361273 9.89583 [-(x^7+2*x^6-7*x^5-8*x^4+x^3+3*x^2-x-1)/(x-1)^4/(x+1)^4 ogf] A361274 10.2227 [-(2*x^6-x^5-5*x^4-2*x^3+3*x^2-1)/(x+1)^3/(x-1)^4 ogf] A361274 11.2849 [-(2*x^6-x^5-5*x^4-2*x^3+3*x^2-1)/(x+1)^3/(x-1)^4 ogf] A361275 10.6790 [-(x^5-x^4-4*x^3+2*x^2+x-1)/(x+1)^2/(x-1)^4 ogf] A361275 11.8493 [-(x^5-x^4-4*x^3+2*x^2+x-1)/(x+1)^2/(x-1)^4 ogf] A361275 4.43591 [{-a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3,a(4)=5,a(5)=11} ogf] A361275 7.45692 [-(x^6-9*x^4-4*x^3-3*x^2-1)/(x^7-x^6-5*x^5+3*x^4+5*x^3-3*x^2-x+1) lgdogf] A361276 10.7701 [-(x^5-2*x^4-4*x^3+2*x^2+x-1)/(x+1)^2/(x-1)^4 ogf] A361276 11.9504 [-(x^5-2*x^4-4*x^3+2*x^2+x-1)/(x+1)^2/(x-1)^4 ogf] A361276 4.47375 [{-a(n+6)+2*a(n+5)+a(n+4)-4*a(n+3)+a(n+2)+2*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=3,a(4)=6,a(5)=13} ogf] A361278 20.5132 [exp(x*(x+1)^2) egf] A361278 24.1764 [3*x^2+4*x+1 lgdegf] A361278 3.28611 [{-3*a(n+1)*n^2-4*a(n+2)*n-15*a(n+1)*n+a(n+4)-a(n+3)-12*a(n+2)-18*a(n+1),a(0)=1,a(1)=1,a(2)=5,a(3)=19} ogf] A361279 19.1128 [4*x^3+9*x^2+6*x+1 lgdegf] A361279 20.8503 [exp(x*(x+1)^3) egf] A361279 3.51052 [{a(n+5)*n+5*a(n+5)-a(n+4)-6*a(n+3)-9*a(n+2)-4*a(n+1),a(0)=1,a(1)=1,a(2)=7/2,a(3)=37/6,a(4)=241/24} egf] A361280 18.2240 [(5*x+1)*(x+1)^3 lgdegf] A361280 19.8807 [exp(x*(x+1)^4) egf] A361283 17.1670 [exp(x/(x-1)^4) egf] A361283 7.65558 [-(3*x+1)/(x^5-5*x^4+10*x^3-10*x^2+5*x-1) lgdegf] A361293 11.2954 [-90*f(x)*x^2+20*f(x)*x-f(x)+x ogf] A361293 13.0003 [-(180*x-20)/(90*x^2-20*x+1) lgdogf] A361293 19.6862 [x/(90*x^2-20*x+1) ogf] A361293 25.5192 [x/(90*x^2-20*x+1) ogf] A361293 8.30142 [{90*a(n)-20*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A361293 9.18691 [{a(n+2)-20*a(n+1)+90*a(n),a(0)=0,a(1)=1} ogf] A361305 15.7578 [-x^5-3*x^4-3*x^3-x^2+x revogf] A361306 10.6514 [-x*(x^2+x+1)*(x^3+3*x^2+2*x-1) revogf] A361313 6.70063 [-f(x)*x^4-f(x)*x^3+x^4+f(x)^2*x-f(x)*x^2+x^3+x^2-f(x)+x ogf] A361315 2.28348 [(2*x^5+2*x^4+5*x^3-2*x^2-36*x+31)/(x-1)^2 ogf] A361315 2.59311 [(2*x^5+2*x^4+5*x^3-2*x^2-36*x+31)/(x-1)^2 ogf] A361334 7.33093 [-(2*x^8+3*x^7+6*x^5-x^4+x^3-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A361334 7.88949 [-(2*x^8+3*x^7+6*x^5-x^4+x^3-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A361338 55.9393 [-1/(x-1) ogf] A361356 6.74141 [(6*x^6-37*x^5+77*x^4-76*x^3+43*x^2-11*x+1)/(x-1)^2/(x^3-3*x^2+5*x-1)^2 ogf] A361356 7.29174 [(6*x^6-37*x^5+77*x^4-76*x^3+43*x^2-11*x+1)/(x-1)^2/(x^3-3*x^2+5*x-1)^2 ogf] A361358 14.4633 [(x-2)/(x^3-3*x^2+5*x-1) ogf] A361358 6.27173 [{-a(n)+3*a(n+1)-5*a(n+2)+a(n+3) a(0) = 2 a(1) = 9 a(2) = 39} ogf] A361358 8.53861 [-(2*x^3-9*x^2+12*x-9)/(x^4-5*x^3+11*x^2-11*x+2) lgdogf] A361359 4.84929 [-(3*x^9-6*x^8-5*x^7+23*x^6-13*x^5-20*x^4+27*x^3-2*x^2-5*x+1)/(x-1)/(x^3-3*x^2+5*x-1)/(x^6-3*x^4+5*x^2-1) ogf] A361374 32.6381 [-2/(x-1) lgdogf] A361374 43.5175 [1/(x-1)^2 ogf] A361375 13.4568 [-10*f(x)^3*x+f(x)^3+x-1 ogf] A361375 16.0199 [(x-1)^(1/3)/(10*x-1)^(1/3) ogf] A361375 17.7063 [3/(10*x^2-11*x+1) lgdogf] A361375 4.91124 [{10*a(n)*n+a(n+2)*n-11*a(n+1)*n+2*a(n+2)-14*a(n+1),a(0)=1,a(1)=3} ogf] A361375 4.91124 [{a(n+2)*n-11*a(n+1)*n+10*a(n)*n+2*a(n+2)-14*a(n+1),a(0)=1,a(1)=3} ogf] A361378 9.08205 [-x*(3*x^4-2*x^2-2*x-1)/(x^6-x^4-x^3-x^2+1) ogf] A361458 7.11563 [(x^5+3*x^4+x^3-x^2+x+3)/(x+1)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A361474 11.0217 [-(18*x^3+30*x^2+6*x+6)/(6*x^4-3*x^3-3*x^2+x-1) lgdogf] A361474 18.4443 [x^2*(6*x^3+3*x^2+1)/(x-1)^6 ogf] A361474 22.0433 [x^2*(6*x^3+3*x^2+1)/(x-1)^6 ogf] A361474 4.58769 [{a(n+6)-6*a(n+5)+15*a(n+4)-20*a(n+3)+15*a(n+2)-6*a(n+1)+a(n),a(0)=0,a(1)=0,a(2)=1,a(3)=6,a(4)=24,a(5)=80} ogf] A361488 13.0575 [4*f(x)^2*x^4+4*f(x)^2*x^3-f(x)^2+1 ogf] A361488 13.7103 [-(8*x^3+6*x^2)/(4*x^4+4*x^3-1) lgdogf] A361488 22.2329 [1/(-4*x^4-4*x^3+1)^(1/2) ogf] A361488 4.19704 [{a(n+5)*n-4*a(n+2)*n-4*a(n+1)*n+5*a(n+5)-14*a(n+2)-12*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=2,a(4)=2} ogf] A361491 11.6477 [-(x^2+38*x+1)/(x-1)/(x^2-34*x+1) ogf] A361491 13.2271 [-(x^2+38*x+1)/(x-1)/(x^2-34*x+1) ogf] A361491 6.2432 [(4042593*f(x)-381410)*(f(x)*x^3-35*f(x)*x^2+35*f(x)*x+x^2-f(x)+38*x+1) ogf] A361491 6.61356 [{-a(n)+35*a(n+1)-35*a(n+2)+a(n+3) a(0) = 1 a(1) = 73 a(2) = 2521} ogf] A361491 7.09455 [{a(n+3)-35*a(n+2)+35*a(n+1)-a(n),a(0)=1,a(1)=73,a(2)=2521} ogf] A361491 7.22593 [-(x^4+76*x^3-1362*x^2-68*x+73)/(x^5+3*x^4-1294*x^3+1294*x^2-3*x-1) lgdogf] A361495 5.94974 [2*(101312*x^3+25144*x^2+610*x+5)/(x-1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A361522 7.75806 [{-a(n+1)*n+2*a(n+3)-3*a(n+1),a(0)=1,a(1)=0,a(2)=1} ogf] A361522 9.91852 [{(-n-2)*a(n)+2*a(n+2) a(0) = 1 a(1) = 0} ogf] A361528 6.57926 [{(n^2+4*n)*a(n)+(-2*n-8)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A361532 12.1781 [-(x^2-2*x-2)/(2*x^2-4*x+2) lgdegf] A361532 12.8674 [exp(-1/2*x*(x+2)/(x-1)) egf] A361532 2.66396 [{2*a(n+2)*n^2+a(n+1)*n^2-4*a(n+3)*n+8*a(n+2)*n+5*a(n+1)*n+2*a(n+4)-14*a(n+3)+6*a(n+2)+6*a(n+1),a(0)=1,a(1)=1,a(2)=4,a(3)=19} ogf] A361533 12.2669 [-(2*x^3-3*x^2)/(6*x^2-12*x+6) lgdegf] A361533 17.0540 [exp(-1/6/(x-1)*x^3) egf] A361535 16.185 [-2*(3*x+5)/(x-1)/(x+1) ogf_with_Euler_transform] A361535 99.9999 Evaluated at exp(-Pi) 2*exp(-1/12*Pi)/Pi^(3/2)*2^(3/4)*GAMMA(3/4)^6 A361545 12.4967 [-(3*x^4-4*x^3)/(24*x^2-48*x+24) lgdegf] A361547 11.0207 [-(4*x^5-5*x^4)/(120*x^2-240*x+120) lgdegf] A361547 5.29676 [(x^10-720*x^6+720*x^5+172800*x^2-345600*x+172800)/(x^10+720*x^6-720*x^5+172800*x^2-345600*x+172800) egf] A361548 11.2297 [exp(-1/6*x*(x^2+3*x+6)/(x-1)) egf] A361548 12.2324 [-(x^3-3*x-3)/(3*x^2-6*x+3) lgdegf] A361548 3.03105 [{-3*a(n+5)*n+6*a(n+4)*n-3*a(n+3)*n-15*a(n+5)+27*a(n+4)-6*a(n+3)-a(n+1),a(0)=1,a(1)=1,a(2)=2,a(3)=10/3,a(4)=21/4} egf] A361557 11.4170 [(-(x-2)*exp(x)-1)/(x-1)^2 lgdegf] A361558 9.51413 [exp(-1/24*x*(x^3+4*x^2+12*x+24)/(x-1)) egf] A361558 9.92778 [-(3*x^4+4*x^3-24*x-24)/(24*x^2-48*x+24) lgdegf] A361567 16.8246 [exp(1/2*x^2*(x+1)^2) egf] A361567 21.5565 [2*x^3+3*x^2+x lgdegf] A361567 4.08171 [{-a(n+5)*n+3*a(n+2)+2*a(n+1)-5*a(n+5)+a(n+3),a(0)=1,a(1)=0,a(2)=1/2,a(3)=1,a(4)=5/8} egf] A361567 4.08171 [{-a(n+5)*n-5*a(n+5)+a(n+3)+3*a(n+2)+2*a(n+1),a(0)=1,a(1)=0,a(2)=1/2,a(3)=1,a(4)=5/8} egf] A361568 16.8292 [x^2*(x+1)^2*(1/2+x) lgdegf] A361568 18.0606 [exp(1/6*x^3*(x+1)^3) egf] A361568 3.35062 [{2*a(n+7)*n+14*a(n+7)-a(n+4)-4*a(n+3)-5*a(n+2)-2*a(n+1),a(0)=1,a(1)=0,a(2)=0,a(3)=1/6,a(4)=1/2,a(5)=1/2,a(6)=13/72} egf] A361568 3.35062 [{2*a(n+7)*n+14*a(n+7)-a(n+4)-5*a(n+2)-2*a(n+1)-4*a(n+3),a(0)=1,a(1)=0,a(2)=0,a(3)=1/6,a(4)=1/2,a(5)=1/2,a(6)=13/72} egf] A361569 14.8309 [1/6*x^3*(1+2*x)*(x+1)^3 lgdegf] A361569 16.9496 [exp(1/24*x^4*(x+1)^4) egf] A361570 20.7942 [exp(x^2*(x+1)^2) egf] A361570 21.4441 [4*x^3+6*x^2+2*x lgdegf] A361571 16.2982 [3*x^2*(1+2*x)*(x+1)^2 lgdegf] A361571 21.7309 [exp(x^3*(x+1)^3) egf] A361572 11.0200 [3*x^2/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A361573 13.7055 [x^2/(2*x^4-8*x^3+12*x^2-8*x+2) lgdegf] A361573 17.7169 [exp(-1/6*x^3/(x-1)^3) egf] A361576 4.10673 [-2*f(x)^2*x^4+12*f(x)^2*x^3+4*f(x)*x^4-18*f(x)^2*x^2+4*x^4+12*f(x)^2*x-12*x^3-3*f(x)^2+18*x^2-12*x+3 egf] A361576 9.39570 [-4*x^3/(x^5-5*x^4+10*x^3-10*x^2+5*x-1) lgdegf] A361577 10.1822 [-x^3/(6*x^5-30*x^4+60*x^3-60*x^2+30*x-6) lgdegf] A361577 16.4855 [exp(1/24*x^4/(x-1)^4) egf] A361594 10.7347 [-(x^2+1)/(x^3-3*x^2+3*x-1) lgdegf] A361594 12.1524 [-exp(x^2/(x-1)^2)/(x-1) egf] A361595 11.4048 [-exp(-x^3/(x-1)^3)/(x-1) egf] A361595 8.12591 [-(x^3-6*x^2+3*x-1)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A361596 10.7510 [-(x^2-x+1)/(x^3-3*x^2+3*x-1) lgdegf] A361596 11.2797 [-1/(x-1)*exp(1/2*x^2/(x-1)^2) egf] A361597 10.9303 [-1/(x-1)*exp(-1/6*x^3/(x-1)^3) egf] A361597 8.23148 [-(2*x^3-7*x^2+6*x-2)/(2*x^4-8*x^3+12*x^2-8*x+2) lgdegf] A361598 10.3914 [-(x^2-x+2)/(x^3-3*x^2+3*x-1) lgdegf] A361598 12.5481 [-1/(x-1)*exp(1/(x-1)^2*x) egf] A361599 12.5084 [-1/(x-1)*exp(-1/(x-1)^3*x) egf] A361599 8.91230 [-(x^3-3*x^2+x-2)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A361608 11.3630 [(36015*x^4-40474*x^3+10731*x^2+882*x+1)/(7*x-1)^6 ogf] A361608 12.806 [(36015*x^4-40474*x^3+10731*x^2+882*x+1)/(7*x-1)^6 ogf] A361609 11.7910 [-(48*x^2-40*x-20)/(48*x^3-44*x^2+4*x+1) lgdogf] A361609 19.3709 [(12*x^2-8*x-1)/(4*x-1)^3 ogf] A361609 23.9289 [(12*x^2-8*x-1)/(4*x-1)^3 ogf] A361609 6.56114 [(98172*f(x)-287297)*(64*f(x)*x^3-48*f(x)*x^2+12*f(x)*x-12*x^2-f(x)+8*x+1) ogf] A361609 7.3962 [{a(n+3)-12*a(n+2)+48*a(n+1)-64*a(n),a(0)=1,a(1)=20,a(2)=180} ogf] A361609 7.67529 [{(-36*n^2-164*n-160)*a(n)+(9*n^2+23*n+8)*a(n+1) a(0) = 1} ogf] A361610 10.1210 [-(750*x^2-600*x-70)/(375*x^3-325*x^2+45*x+1) lgdogf] A361610 15.9351 [-(75*x^2-50*x-1)/(5*x-1)^4 ogf] A361610 19.2039 [-(75*x^2-50*x-1)/(5*x-1)^4 ogf] A361610 5.02653 [{-a(n+4)+20*a(n+3)-150*a(n+2)+500*a(n+1)-625*a(n),a(0)=1,a(1)=70,a(2)=1175,a(3)=13500} ogf] A361610 5.23743 [(404*f(x)+4019)*(625*f(x)*x^4-500*f(x)*x^3+150*f(x)*x^2-20*f(x)*x+75*x^2+f(x)-50*x-1) ogf] A361626 12.2221 [1/(x-1)^2*exp(-1/(x-1)^3*x) egf] A361626 8.09721 [-(2*x^3-6*x^2+4*x-3)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A361638 12.5276 [RootOf(_Z^5*x+_Z^2*x-_Z+1) ogf] A361649 6.26965 [{(n^2+3*n)*a(n)+(-2*n-6)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A361673 6.86134 [x*(7895*x^10+3015*x^5-83)/(7895*x^11+114095*x^10+3015*x^6-1965*x^5-83*x-83) revogf] A361692 11.0409 [{(-17*n-33)*a(n)+(17*n+16)*a(n+1) a(0) = 16} ogf] A361692 19.2675 [-(x+33)/(x^2+15*x-16) lgdogf] A361692 28.9012 [(x+16)/(x-1)^2 ogf] A361701 7.79877 [-(-71470*x^8-183*x)/(7976010*x^14+71470*x^8+109900*x^7+183*x+183) revogf] A361705 11.3005 [x*(5865*x^8-1)/(5865*x^9+4185*x^8-x-1) revogf] A361719 9.27045 [(16*x^5+16*x^4-40*x^3-22*x^2+4*x+1)/(4*x^2+1)^(7/2)*x ogf] A361726 10.4431 [-(8*x^3+12*x^2+4*x)/(4*x^4+8*x^3+4*x^2-1) lgdogf] A361726 12.4974 [1/(-(2*x^2+2*x+1)*(2*x^2+2*x-1))^(1/2) ogf] A361726 3.15019 [{-a(n+5)*n+4*a(n+3)*n+8*a(n+2)*n+4*a(n+1)*n-5*a(n+5)+16*a(n+3)+28*a(n+2)+12*a(n+1),a(0)=1,a(1)=0,a(2)=2,a(3)=4,a(4)=8} ogf] A361726 9.41167 [-4*f(x)^2*x^4-8*f(x)^2*x^3-4*f(x)^2*x^2+f(x)^2-1 ogf] A361727 17.2008 [1/(-4*x^5-8*x^4-4*x^3+1)^(1/2) ogf] A361727 9.92359 [-(10*x^4+16*x^3+6*x^2)/(4*x^5+8*x^4+4*x^3-1) lgdogf] A361732 12.4680 [(x^5+5*x^4+4*x^3-3*x+1)/(x^2+2*x-1)^2 ogf] A361732 14.2179 [(x^5+5*x^4+4*x^3-3*x+1)/(x^2+2*x-1)^2 ogf] A361732 4.82393 [{a(n+6)-4*a(n+5)+2*a(n+4)+4*a(n+3)+a(n+2),a(0)=1,a(1)=1,a(2)=2,a(3)=6,a(4)=20,a(5)=60} ogf] A361740 5.94981 [-x*(x^18-x^17-3*x^16+5*x^15-2*x^14+2*x^10-5*x^9+3*x^8+x^7-x^6-x^2+x-2)/(x+1)/(x-1)^2 ogf] A361743 9.48792 [((x^2-6*x+1)^(3/2)-2*x^2+2*x)/(x^2-6*x+1)^(3/2) ogf] A361751 19.3508 [(9*x^10-10*x^9-1)/(x-1)^3 ogf] A361751 23.3202 [(9*x^10-10*x^9-1)/(x-1)^3 ogf] A361751 9.77943 [-(-63*x^10+150*x^9-90*x^8-3)/(9*x^11-19*x^10+10*x^9-x+1) lgdogf] A361752 10.7983 [-(10*x^4+12*x^2+2)/(4*x^5+8*x^3+4*x-1) lgdogf] A361752 18.4360 [1/(-4*x^5-8*x^3-4*x+1)^(1/2) ogf] A361753 10.3328 [-(14*x^6+16*x^3+2)/(4*x^7+8*x^4+4*x-1) lgdogf] A361753 17.6414 [1/(-4*x^7-8*x^4-4*x+1)^(1/2) ogf] A361758 10.6229 [-(x^5+5*x^4+4*x^3-3*x+1)/(x-1)/(x^2+2*x-1)^2 ogf] A361758 4.14691 [{-a(n+6)+5*a(n+5)-6*a(n+4)-2*a(n+3)+3*a(n+2)+a(n+1),a(0)=1,a(1)=2,a(2)=4,a(3)=10,a(4)=30,a(5)=90} ogf] A361758 9.57374 [-(x^5+5*x^4+4*x^3-3*x+1)/(x-1)/(x^2+2*x-1)^2 ogf] A361764 10.2279 [(-1)^(1/25)/(3130*x^5-3125*x^4+1250*x^3-250*x^2+25*x-1)^(1/25) ogf] A361764 7.02617 [-(626*x^4-500*x^3+150*x^2-20*x+1)/(3130*x^5-3125*x^4+1250*x^3-250*x^2+25*x-1) lgdogf] A361765 6.46383 [-(3130*x^4-2500*x^3+750*x^2-100*x+5)/(3130*x^5-3125*x^4+1250*x^3-250*x^2+25*x-1) lgdogf] A361790 12.6515 [1/(x^4+4*x^3+6*x^2+1)^(1/2)*(x+1)^2 ogf] A361790 6.61594 [-f(x)^2*x^4-4*f(x)^2*x^3-6*f(x)^2*x^2+x^4+4*x^3-f(x)^2+6*x^2+4*x+1 ogf] A361790 9.87860 [-(6*x-2)/(x^5+5*x^4+10*x^3+6*x^2+x+1) lgdogf] A361791 9.12822 [-(8*x-2)/(x^6+6*x^5+15*x^4+20*x^3+11*x^2+2*x+1) lgdogf] A361792 7.18183 [-(10*x-2)/(x^7+7*x^6+21*x^5+35*x^4+35*x^3+17*x^2+3*x+1) lgdogf] A361792 8.34887 [1/(x^6+6*x^5+15*x^4+20*x^3+15*x^2+2*x+1)^(1/2)*(x+1)^3 ogf] A361801 3.34776 [{a(n+4)*n-a(n+3)*n-4*a(n+2)*n+4*a(n+1)*n+4*a(n+4)-4*a(n+3)-12*a(n+2)+12*a(n+1),a(0)=0,a(1)=0,a(2)=1,a(3)=1} ogf] A361801 4.5706 [-4*f(x)^2*x^4+8*f(x)^2*x^3-3*f(x)^2*x^2+4*f(x)*x^3-2*f(x)^2*x-4*f(x)*x^2+f(x)^2-f(x)*x-x^2+f(x) ogf] A361812 13.6486 [1/(-4*x^4-12*x^3-12*x^2-4*x+1)^(1/2) ogf] A361812 6.89188 [4*f(x)^2*x^4+12*f(x)^2*x^3+12*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A361812 8.28665 [-(8*x^3+18*x^2+12*x+2)/(4*x^4+12*x^3+12*x^2+4*x-1) lgdogf] A361813 12.0716 [1/(-4*x^5-16*x^4-24*x^3-16*x^2-4*x+1)^(1/2) ogf] A361813 7.03202 [-(10*x^4+32*x^3+36*x^2+16*x+2)/(4*x^5+16*x^4+24*x^3+16*x^2+4*x-1) lgdogf] A361814 9.94509 [1/(-4*x^6-20*x^5-40*x^4-40*x^3-20*x^2-4*x+1)^(1/2) ogf] A361815 11.4803 [-(6*x^2-8*x+2)/(4*x^3-8*x^2+4*x-1) lgdogf] A361815 17.9203 [1/(-4*x^3+8*x^2-4*x+1)^(1/2) ogf] A361815 3.18068 [{-a(n+4)*n+4*a(n+3)*n-8*a(n+2)*n+4*a(n+1)*n-4*a(n+4)+14*a(n+3)-24*a(n+2)+10*a(n+1),a(0)=1,a(1)=2,a(2)=2,a(3)=-2} ogf] A361815 9.07081 [4*f(x)^2*x^3-8*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A361816 13.6012 [1/(4*x^4-12*x^3+12*x^2-4*x+1)^(1/2) ogf] A361816 6.86795 [-4*f(x)^2*x^4+12*f(x)^2*x^3-12*f(x)^2*x^2+4*f(x)^2*x-f(x)^2+1 ogf] A361816 8.25790 [-(8*x^3-18*x^2+12*x-2)/(4*x^4-12*x^3+12*x^2-4*x+1) lgdogf] A361817 12.0514 [1/(-4*x^5+16*x^4-24*x^3+16*x^2-4*x+1)^(1/2) ogf] A361817 7.02026 [-(10*x^4-32*x^3+36*x^2-16*x+2)/(4*x^5-16*x^4+24*x^3-16*x^2+4*x-1) lgdogf] A361841 10.8403 [-(9*x^2+12*x+3)/(9*x^3+18*x^2+9*x-1) lgdogf] A361841 14.3092 [(-1)^(1/3)/(9*x^3+18*x^2+9*x-1)^(1/3) ogf] A361841 3.04452 [{-a(n+4)*n+9*a(n+3)*n+18*a(n+2)*n+9*a(n+1)*n-4*a(n+4)+30*a(n+3)+48*a(n+2)+18*a(n+1),a(0)=1,a(1)=3,a(2)=24,a(3)=201} ogf] A361841 8.72516 [9*f(x)^3*x^3+18*f(x)^3*x^2+9*f(x)^3*x-f(x)^3+1 ogf] A361842 12.1264 [(-1)^(1/3)/(9*x^4+27*x^3+27*x^2+9*x-1)^(1/3) ogf] A361842 7.08379 [9*x^4*f(x)^3+27*f(x)^3*x^3+27*f(x)^3*x^2+9*f(x)^3*x-f(x)^3+1 ogf] A361842 8.41720 [-(12*x^3+27*x^2+18*x+3)/(9*x^4+27*x^3+27*x^2+9*x-1) lgdogf] A361843 10.8432 [9*f(x)^3*x^2-9*f(x)^3*x+f(x)^3-1 ogf] A361843 14.2317 [-(6*x-3)/(9*x^2-9*x+1) lgdogf] A361843 20.7006 [1/(9*x^2-9*x+1)^(1/3) ogf] A361843 3.90355 [{-a(n+3)*n+9*a(n+2)*n-9*a(n+1)*n-3*a(n+3)+21*a(n+2)-15*a(n+1),a(0)=1,a(1)=3,a(2)=15} ogf] A361844 10.4516 [-(9*x^2-12*x+3)/(9*x^3-18*x^2+9*x-1) lgdogf] A361844 13.7961 [(-1)^(1/3)/(9*x^3-18*x^2+9*x-1)^(1/3) ogf] A361844 2.9479 [{-a(n+4)*n+9*a(n+3)*n-18*a(n+2)*n+9*a(n+1)*n-4*a(n+4)+30*a(n+3)-48*a(n+2)+18*a(n+1),a(0)=1,a(1)=3,a(2)=12,a(3)=57} ogf] A361844 8.4123 [-9*f(x)^3*x^3+18*f(x)^3*x^2-9*f(x)^3*x+f(x)^3-1 ogf] A361845 13.5434 [1/(9*x^4-27*x^3+27*x^2-9*x+1)^(1/3) ogf] A361845 6.83878 [9*x^4*f(x)^3-27*f(x)^3*x^3+27*f(x)^3*x^2-9*f(x)^3*x+f(x)^3-1 ogf] A361845 8.12608 [-(12*x^3-27*x^2+18*x-3)/(9*x^4-27*x^3+27*x^2-9*x+1) lgdogf] A361871 17.2872 [2*(x^3-3*x+3)/(x-1)^2 ogf] A361871 21.025 [2*(x^3-3*x+3)/(x-1)^2 ogf] A361871 7.33892 [{-a(n+4)+2*a(n+3)-a(n+2),a(0)=6,a(1)=6,a(2)=6,a(3)=8} ogf] A361871 8.01985 [-(f(x)-6)*(f(x)*x^2-2*x^3-2*f(x)*x+f(x)+6*x-6) ogf] A361871 9.72406 [-(-x^3+3*x^2-3*x+3)/(x^4-x^3-3*x^2+6*x-3) lgdogf] A361877 5.27578 [{-a(n+1)*n^2+16*a(n)*n^2-2*a(n+1)*n+16*a(n)*n-a(n+1)+4*a(n),a(0)=1,a(1)=2} ogf] A361880 10.0769 [1/(x^2-11*x+1)*((x-1)^2*(x^2-11*x+1)^2)^(1/3) ogf] A361880 12.3356 [-(3*x+3)/(x^3-12*x^2+12*x-1) lgdogf] A361880 3.68795 [{12*a(n+1)*n-a(n)*n+a(n+3)*n-12*a(n+2)*n+9*a(n+1)+3*a(n+3)-27*a(n+2),a(0)=1,a(1)=3,a(2)=24} ogf] A361880 3.68795 [{a(n+3)*n-12*a(n+2)*n+12*a(n+1)*n-a(n)*n+3*a(n+3)-27*a(n+2)+9*a(n+1),a(0)=1,a(1)=3,a(2)=24} ogf] A361880 9.41398 [-f(x)^3*x^2+11*f(x)^3*x-f(x)^3+x^2-2*x+1 ogf] A361881 14.0673 [(-1)^(1/3)/(8*x-1)^(1/3)*(x+1)^(1/3) ogf] A361881 14.0674 [-8*f(x)^3*x+f(x)^3-x-1 ogf] A361881 19.1473 [-3/(8*x^2+7*x-1) lgdogf] A361881 5.10594 [{7*a(n+1)*n+8*a(n)*n-a(n+2)*n+10*a(n+1)-2*a(n+2),a(0)=1,a(1)=3} ogf] A361881 5.10594 [{-a(n+2)*n+7*a(n+1)*n+8*a(n)*n-2*a(n+2)+10*a(n+1),a(0)=1,a(1)=3} ogf] A361882 10.3607 [1/(x^2-7*x+1)*((x+1)^2*(x^2-7*x+1)^2)^(1/3) ogf] A361882 12.7659 [-(3*x-3)/(x^3-6*x^2-6*x+1) lgdogf] A361882 3.7234 [{-6*a(n+1)*n+a(n)*n+a(n+3)*n-6*a(n+2)*n-3*a(n+1)+3*a(n+3)-15*a(n+2),a(0)=1,a(1)=3,a(2)=12} ogf] A361882 3.7234 [{a(n+3)*n-6*a(n+2)*n-6*a(n+1)*n+a(n)*n+3*a(n+3)-15*a(n+2)-3*a(n+1),a(0)=1,a(1)=3,a(2)=12} ogf] A361882 9.5319 [-f(x)^3*x^2+7*f(x)^3*x-f(x)^3+x^2+2*x+1 ogf] A361895 10.9326 [-(-6*x-3)/(x^4-4*x^3+15*x^2-13*x+1) lgdogf] A361895 10.9326 [-1/(x^3-3*x^2+12*x-1)^(1/3)*(x-1)*(-1)^(1/3) ogf] A361895 2.85198 [{-a(n+4)*n+13*a(n+3)*n-15*a(n+2)*n+4*a(n+1)*n-a(n)*n-4*a(n+4)+42*a(n+3)-24*a(n+2)+4*a(n+1),a(0)=1,a(1)=3,a(2)=27,a(3)=252} ogf] A361895 7.07404 [f(x)^3*x^3-3*f(x)^3*x^2+12*f(x)^3*x-f(x)^3-x^3+3*x^2-3*x+1 ogf] A361896 5.77984 [x^4*f(x)^3-4*f(x)^3*x^3+6*f(x)^3*x^2-13*f(x)^3*x-x^4+f(x)^3+4*x^3-6*x^2+4*x-1 ogf] A361896 9.86424 [-(9*x+3)/(x^5-5*x^4+10*x^3-19*x^2+14*x-1) lgdogf] A361896 9.99755 [(-1)^(2/3)*(x-1)^(4/3)/(x^4-4*x^3+6*x^2-13*x+1)^(1/3) ogf] A361901 5.32164 [{(-625*n^5-1875*n^4-2125*n^3-1125*n^2-274*n-24)*a(n)+4*a(n+1) a(0) = 1} ogf] A361960 6.89298 [-27*x^4*f(x)^3+4*f(x)^3*x^3-54*f(x)^2*x^3+8*f(x)^2*x^2-40*f(x)*x^2+10*f(x)*x-x^2-f(x)-8*x+2 ogf] A361962 10.2407 [f(x)^3*x^3+5*f(x)^2*x^2+7*f(x)*x-f(x)+2 ogf] A361962 17.9212 [x/(x^3+5*x^2+7*x+2) revogf] A361963 13.6490 [x/(x^4+7*x^3+17*x^2+16*x+4) revogf] A362007 11.0695 [x^2*(x^5-3*x^4+3*x^3+2*x^2-x-3)/(x-1)^5 ogf] A362007 6.62002 [-(2*x^4-6*x^3+15*x^2-16)/(x^6-4*x^5+6*x^4-x^3-3*x^2-2*x+3) lgdogf] A362007 9.78611 [x^2*(x^5-3*x^4+3*x^3+2*x^2-x-3)/(x-1)^5 ogf] A362055 11.6278 [-(x-1)*(x+1)^2/(x^4-2*x^3-2*x^2+1) ogf] A362055 7.42889 [-(x^5+x^4-4*x^3+4*x^2+x+1)/(x^6-2*x^5-3*x^4+2*x^3+3*x^2-1) lgdogf] A362057 11.1120 [-(x-1)*(x^2+x+1)/(x^4-3*x^3-x+1) ogf] A362057 8.81721 [-(x^6-2*x^3+6*x^2+1)/(x^7-3*x^6-2*x^4+4*x^3+x-1) lgdogf] A362067 11.3866 [2*x*(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A362067 12.8799 [2*x*(x-1)/(x^2-3*x+1)/(x^2+x-1) ogf] A362067 5.86326 [{-a(n+4)+4*a(n+3)-3*a(n+2)-2*a(n+1)+a(n),a(0)=0,a(1)=2,a(2)=6,a(3)=18} ogf] A362067 7.62793 [-f(x)*x^4+2*f(x)*x^3+3*f(x)*x^2-4*f(x)*x+2*x^2+f(x)-2*x ogf] A362067 8.18414 [-(3*x^4-8*x^3+3*x^2+6*x-3)/(x^5-3*x^4-x^3+7*x^2-5*x+1) lgdogf] A362114 32.9186 [-1/(x-1) lgdogf] A362114 36.8688 [-2/(x-1) ogf] A362115 31.4086 [-1/(x-1) lgdogf] A362115 35.1775 [-6/(x-1) ogf] A362116 50.7200 [-1/(x-1) lgdogf] A362116 54.6214 [-24/(x-1) ogf] A362126 12.1263 [-(6*x^2+8*x+2)/(x^3+2*x^2+x-1) lgdogf] A362126 20.9751 [1/(x^3+2*x^2+x-1)^2 ogf] A362126 26.7614 [1/(x^3+2*x^2+x-1)^2 ogf] A362126 3.9196 [{-a(n+6)+2*a(n+5)+3*a(n+4)-2*a(n+3)-6*a(n+2)-4*a(n+1)-a(n),a(0)=1,a(1)=2,a(2)=7,a(3)=18,a(4)=47,a(5)=118} ogf] A362153 10.2693 [-(x^4-9*x^2+10*x+8)/(x^5-3*x^4+x^3+4*x^2-2*x-1) lgdogf] A362153 14.0611 [-(x+1)*(x^3-3*x^2+2*x+1)/(x-1)^5 ogf] A362153 16.0346 [-(x+1)*(x^3-3*x^2+2*x+1)/(x-1)^5 ogf] A362153 5.3763 [{a(n+5)-5*a(n+4)+10*a(n+3)-10*a(n+2)+5*a(n+1)-a(n),a(0)=1,a(1)=8,a(2)=29,a(3)=73,a(4)=151} ogf] A362154 10.0557 [I*((4*x-1)^(1/2)*x-I)/(4*x^3-x^2+1) ogf] A362154 10.0558 [-4*f(x)^2*x^3+f(x)^2*x^2-f(x)^2+2*f(x)-1 ogf] A362154 7.26803 [-(4*x^2+(-4*x+1)^(1/2)-x)/(16*x^4-8*x^3+x^2+4*x-1)*(6*x-1) lgdogf] A362155 7.8928 [-9*x^4*f(x)^3+f(x)^3*x^3+f(x)^3-3*f(x)^2+3*f(x)-1 ogf] A362156 10.0557 [I/(4*x^3-x^2+1)*((4*x-1)^(1/2)*x+I) ogf] A362156 10.0558 [-4*f(x)^2*x^3+f(x)^2*x^2-f(x)^2-2*f(x)-1 ogf] A362156 7.56774 [(-4*x^2+(-4*x+1)^(1/2)+x)/(16*x^4-8*x^3+x^2+4*x-1)*(6*x-1) lgdogf] A362157 7.92884 [9*x^4*f(x)^3-f(x)^3*x^3+f(x)^3+3*f(x)^2+3*f(x)+1 ogf] A362158 15.9736 [(-6*x+1)/(-4*x+1)^(1/2) lgdegf] A362158 7.69811 [I*sin((4*x-1)^(1/2)*x)-cos((4*x-1)^(1/2)*x) egf] A362159 16.9192 [(1-12*x)/(1-9*x)^(2/3) lgdegf] A362161 15.9000 [(6*x-1)/(-4*x+1)^(1/2) lgdegf] A362161 7.66263 [I*sin((4*x-1)^(1/2)*x)+cos((4*x-1)^(1/2)*x) egf] A362162 16.9192 [(-1+12*x)/(1-9*x)^(2/3) lgdegf] A362163 16.2882 [(-3*x+1)/(-2*x+1)^(1/2) lgdegf] A362163 7.84973 [I*sin((2*x-1)^(1/2)*x)-cos((2*x-1)^(1/2)*x) egf] A362164 16.7012 [(-4*x+1)/(-3*x+1)^(2/3) lgdegf] A362165 16.2882 [(3*x-1)/(-2*x+1)^(1/2) lgdegf] A362165 7.84973 [I*sin((2*x-1)^(1/2)*x)+cos((2*x-1)^(1/2)*x) egf] A362166 16.4765 [(-1+4*x)/(-3*x+1)^(2/3) lgdegf] A362176 18.7247 [exp(-x*(2*x-1)) egf] A362176 5.77346 [{-4*a(n+1)*n+a(n+2)-8*a(n+1)-a(n+3),a(0)=1,a(1)=1,a(2)=-3} ogf] A362176 5.77346 [{-4*a(n+1)*n-a(n+3)+a(n+2)-8*a(n+1),a(0)=1,a(1)=1,a(2)=-3} ogf] A362176 7.06954 [{(4*n+4)*a(n)-a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A362177 18.6434 [exp(-x*(3*x-1)) egf] A362177 34.4904 [-6*x+1 lgdegf] A362177 5.7009 [{-6*a(n+1)*n+a(n+2)-12*a(n+1)-a(n+3),a(0)=1,a(1)=1,a(2)=-5} ogf] A362177 5.7009 [{-6*a(n+1)*n-a(n+3)+a(n+2)-12*a(n+1),a(0)=1,a(1)=1,a(2)=-5} ogf] A362177 7.03886 [{(6*n+6)*a(n)-a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A362179 16.4623 [-(-4*x-1)/(2*x^2-3*x+1) lgdogf] A362179 23.9450 [(x-1)^5/(2*x-1)^3 ogf] A362179 31.6075 [(x-1)^5/(2*x-1)^3 ogf] A362179 5.1986 [{-a(n+6)+6*a(n+5)-12*a(n+4)+8*a(n+3),a(0)=1,a(1)=1,a(2)=4,a(3)=10,a(4)=25,a(5)=61} ogf] A362188 14.9899 [-(x-1)/(-3*x+1)^(5/3) lgdegf] A362193 10.7842 [-(x^5-7*x^4+12*x^3-11*x^2+5*x-1)/(x-1)^6 ogf] A362193 12.1537 [-(x^5-7*x^4+12*x^3-11*x^2+5*x-1)/(x-1)^6 ogf] A362193 3.84766 [{-a(n+6)+6*a(n+5)-15*a(n+4)+20*a(n+3)-15*a(n+2)+6*a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=2,a(3)=5,a(4)=12,a(5)=27} ogf] A362193 6.65812 [-(x^5-9*x^4+8*x^3-8*x^2+3*x-1)/(x^6-8*x^5+19*x^4-23*x^3+16*x^2-6*x+1) lgdogf] A362194 10.5201 [-(2*x^2-2*x+1)*(x^4-3*x^3+6*x^2-4*x+1)/(x-1)^7 ogf] A362194 11.673 [-(2*x^2-2*x+1)*(x^4-3*x^3+6*x^2-4*x+1)/(x-1)^7 ogf] A362195 9.09396 [-(x^7-10*x^6+27*x^5-42*x^4+39*x^3-22*x^2+7*x-1)/(x-1)^8 ogf] A362195 9.98118 [-(x^7-10*x^6+27*x^5-42*x^4+39*x^3-22*x^2+7*x-1)/(x-1)^8 ogf] A362196 8.31605 [-(2*x^8-11*x^7+37*x^6-69*x^5+81*x^4-61*x^3+29*x^2-8*x+1)/(x-1)^9 ogf] A362197 7.19903 [-(x^9-13*x^8+48*x^7-106*x^6+150*x^5-142*x^4+90*x^3-37*x^2+9*x-1)/(x-1)^10 ogf] A362204 15.1148 [-(x-1)/(-2*x+1)^(3/2) lgdegf] A362204 7.15110 [-I*(I*cos(1/(2*x-1)^(1/2)*x)-sin(1/(2*x-1)^(1/2)*x)) egf] A362205 15.8264 [(-2*x+1)/(-3*x+1)^(4/3) lgdegf] A362206 5.31947 [-f(x)^3*x^3-9*f(x)^3*x+f(x)^3+27*f(x)^2*x-3*f(x)^2-27*f(x)*x+3*f(x)+9*x-1 ogf] A362210 3.30461 [-f(x)^3*x^3+81*f(x)^3*x^2-18*f(x)^3*x-243*f(x)^2*x^2+f(x)^3+54*f(x)^2*x+243*f(x)*x^2-3*f(x)^2-54*f(x)*x-81*x^2+3*f(x)+18*x-1 ogf] A362255 11.7988 [(x+1)*(2*x^2-2*x+1)/(x-1)/(x^3+x-1) ogf] A362255 13.251 [(x+1)*(2*x^2-2*x+1)/(x-1)/(x^3+x-1) ogf] A362255 6.42772 [-(9*f(x)+19)*(f(x)*x^4-f(x)*x^3+f(x)*x^2-2*x^3-2*f(x)*x+f(x)+x-1) ogf] A362255 6.42772 [{-a(n+4)+2*a(n+3)-a(n+2)+a(n+1)-a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=4} ogf] A362255 7.55539 [-(2*x^6-5*x^4+14*x^3-10*x^2+2*x-1)/(2*x^7-2*x^6+x^5-2*x^4+3*x^2-3*x+1) lgdogf] A362256 11.4562 [-(x^4-4*x^3+x-1)/(x-1)/(x^4+x-1) ogf] A362256 12.8662 [-(x^4-4*x^3+x-1)/(x-1)/(x^4+x-1) ogf] A362256 5.72812 [{a(n+5)-2*a(n+4)+a(n+3)-a(n+1)+a(n),a(0)=1,a(1)=1,a(2)=1,a(3)=5,a(4)=9} ogf] A362278 15.8902 [exp(-1/2*x*(3*x-2)) egf] A362278 5.42918 [{-3*a(n+1)*n-a(n+3)+a(n+2)-6*a(n+1),a(0)=1,a(1)=1,a(2)=-2} ogf] A362278 6.64796 [{(3*n+3)*a(n)-a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A362279 16.2127 [exp(-1/2*x*(5*x-2)) egf] A362279 33.2362 [1-5*x lgdegf] A362279 5.49359 [{-5*a(n+1)*n-a(n+3)+a(n+2)-10*a(n+1),a(0)=1,a(1)=1,a(2)=-4} ogf] A362279 6.78290 [{(5*n+5)*a(n)-a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A362298 8.46290 [-(3*x-1)*(3*x^2-1)/(99*x^5-42*x^4-48*x^3+18*x^2+4*x-1) ogf] A362299 14.5748 [-(3*x-1)/(15*x^2-10*x+1) ogf] A362299 8.15497 [{15*a(n)-10*a(n+1)+a(n+2) a(0) = 1 a(1) = 7} ogf] A362299 9.92778 [-(45*x^2-30*x+7)/(45*x^3-45*x^2+13*x-1) lgdogf] A362309 14.1630 [exp(-1/3*x*(x^2-3)) egf] A362309 26.5558 [-x^2+1 lgdegf] A362309 4.03378 [{a(n+1)*n^2+5*a(n+1)*n+a(n+4)-a(n+3)+6*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=-1} ogf] A362309 5.40116 [{(n^2+3*n+2)*a(n)-a(n+2)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 1} ogf] A362316 13.2385 [2*x^2*(3*x-2)/(x-1)/(3*x-1)/(2*x-1) ogf] A362316 9.89085 [-(36*x^3-69*x^2+44*x-9)/(18*x^4-45*x^3+40*x^2-15*x+2) lgdogf] A362344 2.17013 [-(x^15+x^10-x^6-x-1)/(x^2+x+1)/(x^6+x^3+1)/(x-1)^2 ogf] A362357 12.6086 [(x+1)/(x^2-23*x+1) ogf] A362357 6.30433 [{a(n)-23*a(n+1)+a(n+2) a(0) = 1 a(1) = 24} ogf] A362357 7.90396 [-(x^2+2*x-24)/(x^3-22*x^2-22*x+1) lgdogf] A362360 13.0338 [-(2*x+160)/(2*x^2+77*x-79) lgdogf] A362360 19.9340 [(2*x+79)/(x-1)^2 ogf] A362360 7.53065 [{(-81*n-160)*a(n)+(81*n+79)*a(n+1) a(0) = 79} ogf] A362361 11.3093 [-(3*x+2045)/(3*x^2+1018*x-1021) lgdogf] A362361 17.9063 [(3*x+1021)/(x-1)^2 ogf] A362361 6.51138 [{(-1024*n-2045)*a(n)+(1024*n+1021)*a(n+1) a(0) = 1021} ogf] A362365 11.4807 [-(9*x^2+5*x+1)/(6*x-1)/(2*x^2+2*x+1) ogf] A362365 6.48910 [{-12*a(n)-10*a(n+1)-4*a(n+2)+a(n+3) a(0) = 1 a(1) = 9 a(2) = 55} ogf] A362365 6.90969 [-(108*x^4+120*x^3+50*x^2+38*x+9)/(108*x^5+150*x^4+98*x^3+21*x^2-x-1) lgdogf] A362374 11.9419 [4*(x^2-x-1)/(2*x-1)/(2*x^2+2*x+1) ogf] A362374 13.618 [4*(x^2-x-1)/(2*x-1)/(2*x^2+2*x+1) ogf] A362374 7.92066 [-(5*f(x)-18)*(4*f(x)*x^3+2*f(x)*x^2-4*x^2-f(x)+4*x+4) ogf] A362374 8.00232 [-(4*x^4-8*x^3-14*x^2-2*x-1)/(4*x^5-2*x^4-6*x^3-3*x^2+x+1) lgdogf] A362374 8.25770 [{-4*a(n)-2*a(n+1)+a(n+3) a(0) = 4 a(1) = 4 a(2) = 4} ogf] A362374 9.02587 [{a(n+3)-2*a(n+1)-4*a(n),a(0)=4,a(1)=4,a(2)=4} ogf] A362388 10.1568 [-(x^3+3*x^2+x+1)/(x^2+1)/(x^2+x-1) ogf] A362413 11.6429 [-(2*x^3+x^2+x+1)/(x^2-1) lgdegf] A362413 3.24919 [{-a(n+5)*n+a(n+3)*n-5*a(n+5)+a(n+4)+4*a(n+3)+a(n+2)+2*a(n+1),a(0)=1,a(1)=1,a(2)=1,a(3)=4/3,a(4)=11/6} egf] A362413 8.84272 [I/(x+1)^(1/2)/(x-1)^(5/2)*exp(-x*(x+1)) egf] A362434 10.1415 [-(x^2-306*x+17)/(x-1)/(x^2-322*x+1) ogf] A362435 7.47892 [-(3*x^7+4*x^6+2*x^5+x^4+6*x^3+3*x^2+7*x+18)/(x-1) ogf] A362435 8.24599 [-(3*x^7+4*x^6+2*x^5+x^4+6*x^3+3*x^2+7*x+18)/(x-1) ogf] A362438 10.7954 [-(2*x^4+20*x^2-22*x+6)/(2*x^5-5*x^4+12*x^3-17*x^2+10*x-2) lgdogf] A362438 15.4457 [-(x^3-x^2+4*x-2)/(2*x-1)/(x-1)^3 ogf] A362438 17.6136 [-(x^3-x^2+4*x-2)/(2*x-1)/(x-1)^3 ogf] A362438 7.07024 [-(4*f(x)+35)*(2*f(x)*x^4-7*f(x)*x^3+9*f(x)*x^2+x^3-5*f(x)*x-x^2+f(x)+4*x-2) ogf] A362438 7.38216 [{a(n+4)-5*a(n+3)+9*a(n+2)-7*a(n+1)+2*a(n),a(0)=2,a(1)=6,a(2)=13,a(3)=24} ogf] A362445 5.19885 [{-a(n+7)+a(n+6),a(0)=1111111111111111,a(1)=1010001,a(2)=100111,a(3)=21301,a(4)=20141,a(5)=15041,a(6)=14641} ogf] A362445 7.70544 [(400*x^6+5100*x^5+1160*x^4+78810*x^3+909890*x^2+1111111110101110*x-1111111111111111)/(x-1) ogf] A362468 11.008 [-(2*x^3-2*x^2-7*x+3)/(x+1)/(5*x-1)/(x-1)^2 ogf] A362468 4.90035 [-(41301344*f(x)+65571307)*(5*f(x)*x^4-6*f(x)*x^3-4*f(x)*x^2+2*x^3+6*f(x)*x-2*x^2-f(x)-7*x+3) ogf] A362468 5.50402 [{-a(n+4)+6*a(n+3)-4*a(n+2)-6*a(n+1)+5*a(n),a(0)=3,a(1)=11,a(2)=52,a(3)=252} ogf] A362468 9.86434 [-(2*x^3-2*x^2-7*x+3)/(x+1)/(5*x-1)/(x-1)^2 ogf] A362501 11 [-(40*x^2-15*x-11)/(8*x-1)/(4*x-1)/(x-1)^2 ogf] A362501 4.39998 [-(10350192433*f(x)-66180507824)*(32*f(x)*x^4-76*f(x)*x^3+57*f(x)*x^2-14*f(x)*x+40*x^2+f(x)-15*x-11) ogf] A362501 4.75674 [{-a(n+4)+14*a(n+3)-57*a(n+2)+76*a(n+1)-32*a(n),a(0)=11,a(1)=169,a(2)=1699,a(3)=14989} ogf] A362501 9.77773 [-(40*x^2-15*x-11)/(8*x-1)/(4*x-1)/(x-1)^2 ogf] A362516 3.72956 [{a(n+6)-10*a(n+5)+34*a(n+4)-44*a(n+3)+13*a(n+2)+14*a(n+1)-8*a(n),a(0)=1,a(1)=5,a(2)=51,a(3)=293,a(4)=1383,a(5)=6017} ogf] A362516 7.68068 [(16*x^5+20*x^4+91*x^3-35*x^2+5*x-1)/(4*x-1)/(2*x^2+3*x-1)/(x-1)^3 ogf] A362516 8.34139 [(16*x^5+20*x^4+91*x^3-35*x^2+5*x-1)/(4*x-1)/(2*x^2+3*x-1)/(x-1)^3 ogf] A362518 7.41874 [(48*x^5-84*x^4+60*x^3-18*x^2-x+1)/(4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A362518 8.0306 [(48*x^5-84*x^4+60*x^3-18*x^2-x+1)/(4*x-1)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A362521 5.40014 [(384*x^8-448*x^7+128*x^6-628*x^5+1008*x^4-550*x^3+131*x^2-10*x-1)/(8*x-1)/(x-1)^2/(4*x^3+2*x^2-5*x+1)^2 ogf] A362526 11.3204 [-(10*x^3-12*x^2+2*x+1)/(2*x-1)^2/(x-1)^3 ogf] A362526 12.8554 [-(10*x^3-12*x^2+2*x+1)/(2*x-1)^2/(x-1)^3 ogf] A362526 4.43548 [{a(n+5)-7*a(n+4)+19*a(n+3)-25*a(n+2)+16*a(n+1)-4*a(n),a(0)=1,a(1)=9,a(2)=32,a(3)=88,a(4)=217} ogf] A362526 7.36377 [-(40*x^4-52*x^3-2*x^2+26*x-9)/(20*x^5-54*x^4+50*x^3-16*x^2-x+1) lgdogf] A362545 16.0234 [(3*x^2-6*x-1)/(x-1)/(x^2-6*x+1) ogf] A362545 18.4421 [(3*x^2-6*x-1)/(x-1)/(x^2-6*x+1) ogf] A362545 8.14524 [-(1954*f(x)-109)*(f(x)*x^3-7*f(x)*x^2+7*f(x)*x-3*x^2-f(x)+6*x+1) ogf] A362545 8.57393 [{-a(n)+7*a(n+1)-7*a(n+2)+a(n+3) a(0) = 1 a(1) = 13 a(2) = 81} ogf] A362545 9.22103 [{-a(n+3)+7*a(n+2)-7*a(n+1)+a(n),a(0)=1,a(1)=13,a(2)=81} ogf] A362545 9.48961 [-(3*x^4-12*x^3+18*x^2+20*x-13)/(3*x^5-27*x^4+62*x^3-38*x^2-x+1) lgdogf] A362555 14.1178 [-(x^2-7*x+2)/(5*x-1)/(x-1)^2 ogf] A362555 9.46729 [-(5*x^3-65*x^2+35*x-7)/(5*x^4-41*x^3+53*x^2-19*x+2) lgdogf] A362556 6.94867 [-(4*x^4-4*x^3-9*x+5)/(5*x-1)/(x^2+x+1)/(x-1)^2 ogf] A362652 12.0374 [-(x^3-x^2+2*x+2)/(x+1)^2/(x-1)^3 ogf] A362652 7.98402 [-(2*x^4-2*x^3+10*x^2+10*x+4)/(x^5-x^4+x^3+3*x^2-2*x-2) lgdogf] A362680 11.8913 [(x^2-x+1)*(x^6-x^3+1)*(x+1)^2/(x-1)^2 ogf] A362718 10.8658 [I*exp(x/(2*x-1))/(2*x-1)^(1/2) egf] A362718 16.0272 [-2*x/(4*x^2-4*x+1) lgdegf] A362786 10.2881 [-x^3*(x-1)*(4*x^4-12*x^3+16*x^2-12*x+5)/(2*x-1)^8 ogf] A362819 17.0797 [exp(1/4*x*(x^3+6*x+4)) egf] A362819 29.8896 [x^3+3*x+1 lgdegf] A362825 11.1976 [exp(1/8*x*(x^7+14*x^3+28*x+8)) egf] A362843 4.30546 [-2/(x-1) lgdogf] A362843 4.82210 [1/(x-1)^2*x ogf] A362863 11.4488 [-(x^4+1436*x^3+4326*x^2+1436*x+1)/(x-1)^5 ogf] A362869 12.7633 [-(x^3+4*x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A362869 9.11666 [-(2*x^4+13*x^3+11*x^2+14*x+2)/(x^5+4*x^4-3*x^2-x-1) lgdogf] A362874 8.11510 [-322560/(4*x-1)/(2*x-1)/(8*x-1)/(16*x-1)/(32*x-1) ogf] A362904 11.7312 [-(26*x^3+8*x^2+22*x+8)/(x^4-1) lgdogf] A362904 14.5467 [1/(x-1)^16/(x+1)^8/(x^2+1) ogf] A362906 11.4084 [(x^4-3*x^3+6*x^2-3*x+1)/(x+1)^4/(x-1)^8 ogf] A362906 7.28871 [-(8*x^5-23*x^4+52*x^3-18*x^2+12*x+1)/(x^6-3*x^5+5*x^4-5*x^2+3*x-1) lgdogf] A362923 12.1585 [(3*x^4+5*x^2+6*x-7)/(4*x^7+x^4+x^2+x-1) ogf] A363006 14.2161 [RootOf(_Z^6*x+_Z^5*x-_Z+1) ogf] A363080 13.2237 [-(x^4+5*x^3+5*x+1)/(x^2+x+1)/(x-1)^3 ogf] A363080 8.25071 [-(x^6+12*x^5+12*x^4+34*x^3+30*x^2+12*x+7)/(x^7+5*x^6+4*x^4-4*x^3-5*x-1) lgdogf] A363092 11.1913 [-(24*x^2-16*x+1)/(24*x^3-20*x^2+7*x-1) lgdogf] A363092 16.9113 [-(3*x-1)/(8*x^2-4*x+1) ogf] A363092 9.28059 [{8*a(n)-4*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A363256 13.0888 [-(x^4-3*x^3+3*x^2-x+1)/(x-1)^5 ogf] A363256 9.07293 [-(x^4-2*x^3+2*x+4)/(x^5-4*x^4+6*x^3-4*x^2+2*x-1) lgdogf] A363267 11.3632 [-(x^2+1)*(x^3+x+1)/(x-1)^3/(x+1)^3 ogf] A363267 7.82563 [-(x^6+11*x^4+4*x^3+11*x^2+8*x+1)/(x^7+x^5+x^4-x^3-x-1) lgdogf] A363268 12.0705 [-(2*x^4-2*x^3+x^2+1)/(x+1)^2/(x-1)^3 ogf] A363268 8.32868 [-(2*x^5-2*x^4+9*x^3-5*x^2+7*x+1)/(2*x^6-2*x^5-x^4+2*x^3-1) lgdogf] A363269 11.3126 [-(x^2+1)*(x^2-x-1)/(x-1)^4/(x+1)^4 ogf] A363269 7.86495 [-(4*x^5-5*x^4+4*x^3-10*x^2-8*x-1)/(x^6-x^5-x^4-x^2+x+1) lgdogf] A363283 12.6334 [-(x^4-x^3+x+1)/(x+1)^2/(x-1)^3 ogf] A363283 7.33188 [-(x^5-x^4+3*x^3+x^2+6*x+2)/(x^6-x^5-x^4+2*x^3+x^2-x-1) lgdogf] A363288 10.7452 [-(x^3+3*x^2+12*x+8)/(x^4-x^3+4*x^2-3*x-1) lgdogf] A363288 21.2283 [(x^3+4*x+1)/(x-1)^4 ogf] A363288 7.31397 [{(-2*n^3-11*n^2-23*n-16)*a(n)+(2*n^3+5*n^2+7*n+2)*a(n+1) a(0) = 1} ogf] A363299 11.4588 [-(64*x^2-39*x+5)/(x-1)/(6*x-1)/(4*x-1) ogf] A363299 6.83682 [-(1536*x^4-1872*x^3+982*x^2-212*x+16)/(1536*x^5-3112*x^4+2150*x^3-663*x^2+94*x-5) lgdogf] A363299 6.95369 [{-24*a(n)+34*a(n+1)-11*a(n+2)+a(n+3) a(0) = 5 a(1) = 16 a(2) = 70} ogf] A363304 12.6878 [RootOf(_Z^7*x+_Z^4*x-_Z+1) ogf] A363308 6.41090 [RootOf(x^4-x^3+(3*x^3+x^2)*_Z-3*x^2*_Z^2+x^2*_Z^3-2*_Z^4*x+_Z^5) revogf] A363311 12.9633 [RootOf(_Z^5*x+_Z^3*x-_Z+1) ogf] A363350 7.89496 [1/(x-1)^16*(x^8-7*x^7+28*x^6-49*x^5+70*x^4-49*x^3+28*x^2-7*x+1)/(x+1)^8 ogf] A363376 12.1703 [(12*x^4+24*x^3+23*x^2+3*x+1)/(2*x+1)^4 egf] A363376 8.49094 [-(20*x^2-28*x+5)/(24*x^5+60*x^4+70*x^3+29*x^2+5*x+1) lgdegf] A363377 12.9545 [(70*x^3-71*x^2+2*x+7)/(x-1)/(10*x^2-1) ogf] A363377 7.40261 [-(-10*x^4+180*x^3-91*x^2+2*x-9)/(700*x^6-1410*x^5+660*x^4+191*x^3-143*x^2-5*x+7) lgdogf] A363378 8.96608 [(x^6+x^5-9*x^4+6*x^3+13*x^2-23*x+12)/(x-1)^4 ogf] A363380 10.7732 [RootOf(_Z^6*x+_Z^4*x-_Z+1) ogf] A363413 7.80158 [-1/2*I*exp(1/4*Pi)*(-(2*x+I)^(-1+1/2*I)+(2*x-I)^(-1-1/2*I)) egf] A363414 7.87041 [1/4*exp(1/4*Pi)*((2*x+I)^(-1+1/2*I)+(2*x-I)^(-1-1/2*I)) egf] A363448 7.03697 [1/2/(x^3-2*x^2+3*x-1)*(-2*x^2+x-1+(4*x^3-7*x^2+2*x+1)^(1/2))*(x-1) revogf] A363476 6.95464 [-x*(x^3+4*x^2+1)/(x^2+x-1)/(x^2+11*x-1)/(x^2-4*x-1) ogf] A363490 7.99335 [-(9*x^20-9*x^19-11*x^18+12*x^17-x^16-8*x^10+18*x^9-10*x^8-1)/(x-1)^2 ogf] A363518 10.4774 [-(x+1)*(x^4+4*x^3-4*x^2+4*x+1)/(x^2+1)/(x-1)^3 ogf] A363518 8.25215 [-(8*x^6+8*x^5+40*x^3+8*x+8)/(x^8+4*x^7-4*x^6+4*x^5-4*x^3+4*x^2-4*x-1) lgdogf] A363524 10.2651 [(2*x^2+x+1)/(2*x^2-2*x+1)/(2*x^2+2*x+1) ogf] A363524 7.15453 [-(16*x^5+12*x^4+16*x^3-4*x-1)/(8*x^6+4*x^5+4*x^4+2*x^2+x+1) lgdogf] A363524 8.14136 [{4*a(n)+a(n+4) a(0) = 1 a(1) = 1 a(2) = 2 a(3) = 0} ogf] A363555 9.69285 [(-1/2*x-1/2-1/2*(-3*x^2-2*x+1)^(1/2))*(x-1)*x revogf] A363560 7.79024 [RootOf(1+(x-1)*_Z-x*_Z^3+x*_Z^4-x*_Z^6+x*_Z^7) ogf] A363570 6.40972 [-1/3*(-4*x^2+((4*x^2-8*x+1)*(x-1)^2)^(1/2)+8*x-1)/(4*x^2-8*x+1)/(x-1) ogf] A363571 7.91862 [1/4*(9*x-1+((9*x-1)*(x-1))^(1/2))/(9*x-1)/(x-1) ogf] A363573 11.2350 [RootOf(1+(x-1)*_Z-x*_Z^3+x*_Z^5) ogf] A363591 9.80511 [x*(6*x^3-23*x^2+31*x-12)/(3*x-1)/(2*x-1)/(x-1)^3 ogf] A363599 12.9543 [-x*(3*x^2+8*x+3)/(x-1)^3/(x+1)^3 ogf_with_Euler_transform] A363600 10.4901 [-(2*x^2+3*x+2)*(x^2+1)/(x-1)^3/(x+1)^3 ogf_with_Euler_transform] A363601 21.7351 [x*(x-3)/(x-1)^3 ogf_with_Euler_transform] A363602 17.7041 [-(x^2-x+2)/(x-1)^3 ogf_with_Euler_transform] A363603 6.26218 [-(54*x^4-207*x^3+249*x^2-120*x+20)/(18*x^5-75*x^4+113*x^3-78*x^2+25*x-3) lgdogf] A363603 9.98318 [-(3*x^2-7*x+3)/(3*x-1)/(2*x-1)^2/(x-1)^2 ogf] A363705 10.9293 [-(-2*x^3+x^2+4*x+1)/(x^4+x^3-3*x^2+3*x-2) lgdogf] A363705 15.3393 [-2*x*(x^3+2*x^2-x+2)/(x-1) ogf] A363706 20.7622 [-(3*x+7)/(x^2-1) lgdogf] A363706 24.6902 [-2*(x+1)^2/(x-1)^5 ogf] A363706 7.74185 [{(-n^3-8*n^2-22*n-21)*a(n)+(n^3+4*n^2+6*n+3)*a(n+1) a(0) = 2} ogf] A363738 6.40712 [(x^56+x^48-x^19-x^11-1)/(x^48+x^46+x^38+2*x^27-x^11+x^8-1) ogf] A363748 23.0753 [-(16*x^15+1)/(x^16+x-1) lgdogf] A363748 37.3275 [-1/(x^16+x-1) ogf] A363749 11.8941 [(x^33-x^32-x^31+x^2-1)/(x^33+x^2-1) ogf_with_Euler_transform] A363749 16.6517 [-(32*x^31+1)/(x^32+x-1) lgdogf] A363749 26.9365 [-1/(x^32+x-1) ogf] A363753 10.7950 [-x^2/(x-1)/(x^2+x-1)/(x^2-4*x-1) ogf] A363753 7.60061 [-(5*x^4-16*x^3-9*x^2+18*x-2)/(x^5-4*x^4-3*x^3+9*x^2-2*x-1) lgdogf] A363754 8.15504 [-x*(x^2-6*x+1)/(x-1)/(x^2-3*x+1)/(x^2-18*x+1) ogf] A363773 10.8603 [-(2*x^2+2*x-1)/(x-1)/(4*x-1)/(x+1) ogf] A363773 6.69073 [{4*a(n)-a(n+1)-4*a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 7} ogf] A363773 7.64656 [-(8*x^4+16*x^3-6*x^2-2*x+2)/(8*x^5+6*x^4-14*x^3-5*x^2+6*x-1) lgdogf] A363784 17.0244 [(16*x^15+1)/(x^16+x+1) ogf] A363800 5.14108 [x*(x^5+x^3+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A363801 5.47154 [x^2*(x^4+x+1)/(x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A363812 6.39088 [-1/2*(-2*x^2+(4*x^4+8*x^3+x^2-2*x+1)^(1/2)-3*x-1)/(x^2+3*x+2) revogf] A363813 7.73071 [-(3*x^5-20*x^4+39*x^3-29*x^2+9*x-1)/(2*x^2-4*x+1)/(x^2-3*x+1)^2 ogf] A363816 10.0420 [1/2*(1+(4*x^3-8*x^2+4*x+1)^(1/2))/(x-1)^2 ogf] A363817 8.60952 [-1/2*(1+(-4*x^4+12*x^3-12*x^2+4*x+1)^(1/2))/(x-1)^3 ogf] A363828 8.81933 [-(2*x^19+x^7+x^5+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A363908 25.0222 [4+exp(5*x) lgdegf] A363958 9.01922 [-(x^3+x+1)/(x^8+2*x^6+2*x^4+x^2-1) ogf] A363964 11.9959 [-(14*x^4-35*x^3+35*x^2-16*x+3)/(2*x-1)^5 ogf] A363964 7.21977 [-(28*x^4-84*x^3+105*x^2-58*x+14)/(28*x^5-84*x^4+105*x^3-67*x^2+22*x-3) lgdogf] A363980 9.03151 [-(239589126915675841*x-277699295941594831)/(x-1)^2 ogf] A364051 10.7325 [RootOf(_Z^6*x-_Z^5*x-_Z^2*x+_Z-1) ogf] A364069 22.7515 [1+exp(63*x) lgdegf] A364145 12.0339 [-x*(12*x^2-9*x+2)/(4*x-1)/(2*x-1)^2 ogf] A364145 8.47847 [-(96*x^3-96*x^2+42*x-7)/(96*x^4-144*x^3+82*x^2-21*x+2) lgdogf] A364167 13.6169 [RootOf(_Z^6*x+_Z^3*x-_Z+1) ogf] A364171 8.05594 [-(60*x^8-240*x^7+372*x^6-288*x^5+132*x^4-47*x^3+8*x^2+3*x-6)/(x-1)^4 ogf] A364195 12.9555 [RootOf(_Z^7*x+_Z^5*x-_Z+1) ogf] A364196 13.3302 [RootOf(_Z^8*x+_Z^5*x-_Z+1) ogf] A364273 7.95648 [-3*x*(4*x^7-25*x^6+71*x^5+41*x^4-145*x^3+886*x^2+246*x+2)/(x-1)^7 ogf] A364319 8.01263 [x*(2*x^3+3*x^2-2*x-1)/(x-1)/(x^2+2*x-1)/(x^2-2*x-1) ogf] A364324 11.5597 [-(3*x^2+2*x+1)/(x^3+x^2+x-1) lgdegf] A364324 18.0443 [-1/(x^3+x^2+x-1) egf] A364330 13.0890 [RootOf(_Z^4*x^2+_Z^5+x^2+_Z-x) revogf] A364338 14.4426 [RootOf(x+1-_Z+(x^2+x)*_Z^5) ogf] A364339 13.8053 [RootOf(x+1-_Z+(x^2+x)*_Z^6) ogf] A364352 13.5143 [-(3*x^2-4*x+16)/(3*x^3-8*x^2+12*x-7) lgdogf] A364352 19.8209 [-(3*x^2-5*x+7)/(x-1)^3 ogf] A364352 8.57635 [{(-5*n^2-23*n-32)*a(n)+(5*n^2+13*n+14)*a(n+1) a(0) = 7} ogf] A364358 8.81933 [-(x^24+x^4+x^3+x^2+x+1)/(x-1)/(x^4+x^3+x^2+x+1) ogf] A364370 8.02000 [-2*x^3*(464*x^3-236*x^2+20*x+3)/(4*x-1)^3/(2*x-1)^4 ogf] A364371 10.5673 [1/2*x^2-1/2+1/2*(x^4+2*x^2+4*x+1)^(1/2) revogf] A364371 9.88109 [1/2*(-1+(4*x^3+8*x^2+4*x+1)^(1/2))/x/(x+1) ogf] A364374 15.0548 [-(-x^3-x^2-x)/(x+1) revogf] A364375 9.27178 [1/2/(x+1)*(1+(4*x^3+8*x^2+4*x+1)^(1/2))*x revogf] A364376 9.94968 [RootOf(-1+(1-x)*_Z+x*_Z^4+x^2*_Z^5) ogf] A364397 11.3494 [RootOf(_Z^5-_Z^4-_Z^2*x-x) ogf] A364398 11.7242 [RootOf(_Z^5-_Z^4-_Z*x-x) ogf] A364399 10.6680 [RootOf(_Z^6-_Z^5-_Z^2*x-x) ogf] A364400 11.0359 [RootOf(_Z^7-_Z^6-_Z^3*x-x) ogf] A364401 15.9432 [-(22*x^2+55*x+15)/(11*x^3-10*x-1) lgdogf] A364401 22.6171 [(11*x^2+11*x+1)/(x-1)^4 ogf] A364408 12.0938 [RootOf(-x+(-x-1)*_Z^4+_Z^5) ogf] A364409 11.5596 [RootOf(-x+(-x-1)*_Z^5+_Z^6) ogf] A364414 7.52822 [-3*(3*x^4-2*x^3-2*x^2-2*x-7)/(x+1)/(x^2+1)/(x-1)^2 ogf] A364422 15.2226 [-(4*x+2)/(x^2+x-1) lgdegf] A364422 22.1419 [x^2/(x^2+x-1)^2 egf] A364423 11.5408 [-(x^5-3*x^2-x-1)/(x^6-4*x^3-x^2-x+1) ogf] A364429 13.3612 [(x^2+1)*(x^4+14*x^2+1)/(x-1)^6 ogf] A364447 10.2411 [{-a(n)+a(n+4) a(0) = 1 a(1) = 2 a(2) = 1 a(3) = 3} ogf] A364447 11.1261 [-(3*x^3+x^2+2*x+1)/(x-1)/(x+1)/(x^2+1) ogf] A364472 12.7645 [RootOf(1+(x-1)*_Z+x^2*_Z^6) ogf] A364473 13.2900 [RootOf(_Z^6*x^2+_Z^2*x-_Z+1) ogf] A364475 8.46582 [(-1/2*x^2+1/2+1/2*(x^4-2*x^2-4*x+1)^(1/2))*x revogf] A364476 12.1642 [RootOf(1+(x-1)*_Z+x^2*_Z^7) ogf] A364477 12.4849 [RootOf(_Z^7*x^2+_Z^2*x-_Z+1) ogf] A364522 22.1377 [x/(x^5+x+1) revogf] A364523 21.0602 [x/(x^6+x+1) revogf] A364524 11.4617 [-(-x^2-2*x)/(x^4-3*x^3+5*x^2-4*x+1) lgdegf] A364524 15.9060 [(x-1)^3/(x^3-2*x^2+3*x-1) egf] A364539 13.0047 [RootOf(1+(x-1)*_Z+x^3*_Z^5) ogf] A364539 9.92467 [1/2/(x+1)*(1+(-4*x^4-4*x^3+1)^(1/2))*x revogf] A364553 12.4356 [-(3*x^2+6*x+5)/(x^3+3*x^2+x-1) lgdogf] A364553 17.6862 [x*(x+1)/(x^2+2*x-1)^2 ogf] A364579 7.78980 [-x^2*(x^7-5*x^6+7*x^5-4*x^4+3*x^3+3*x^2-5*x-1)/(x-1)^6 ogf] A364587 8.92470 [-(x+1)*(2*x^3-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A364588 7.88136 [1/2/(x+1)*(x^3+1+(x^6-2*x^3-4*x^2+1)^(1/2))*x revogf] A364605 11.2774 [x^4*(x^4+4*x^3-19*x^2+24*x+5)/(x^2+x-1)^4 ogf] A364619 12.1538 [-(4*x^2+8*x+8)/(x^3+3*x^2+x-1) lgdogf] A364619 15.8743 [-x^2*(x+1)^2/(x^2+2*x-1)^3 ogf] A364634 11.0444 [-(2*x^2-12*x+26)/(x^3-9*x^2+19*x-3) lgdogf] A364634 13.9618 [-1/(x^2-6*x+1)^(3/2)*(x-3)*x ogf] A364636 11.8542 [-(2*x^3-6*x^2-6*x-6)/(x^4-6*x^2+1) lgdogf] A364636 14.1418 [-x*(x^2-2*x-1)/(x^2+2*x-1)^2 ogf] A364643 7.07314 [RootOf(x^2-2*x+(7*x+2)*_Z+(-3*x-4)*_Z^2+(-2*x-7)*_Z^3+12*_Z^4+6*_Z^5) revogf] A364645 8.81220 [1/2/(3*x+1)*(-3*x^2+1+(9*x^4+6*x^2+4*x+1)^(1/2))*x revogf] A364646 8.55437 [1/2/(4*x+1)*(-4*x^2+1+(16*x^4+8*x^2+4*x+1)^(1/2))*x revogf] A364647 8.22602 [1/2/(5*x+1)*(-5*x^2+1+(25*x^4+10*x^2+4*x+1)^(1/2))*x revogf] A364651 9.23814 [-2*x^3*(x+1)*(x^3-4*x^2-13*x-10)/(x^2+2*x-1)^4 ogf] A364655 12.8799 [-x^2*(x+1)^2/(x-1)/(x^2+2*x-1)^2 ogf] A364655 9.82096 [-(3*x^3+5*x^2+3*x-7)/(x^4+2*x^3-2*x^2-2*x+1) lgdogf] A364668 8.26412 [x*(2*x^4+2*x^3+2*x^2+2*x+3)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A364685 12.6659 [2*(2*x^2+x-2)/(x^2+x-1)/(x-1)^2 ogf] A364685 9.35557 [-(4*x^4+5*x^3-5*x^2-7*x+5)/(2*x^5+x^4-6*x^3+5*x-2) lgdogf] A364688 13.4978 [-(848*x+116)/(212*x^2-104*x-1) lgdogf] A364688 17.5785 [-6*x^3*(106*x+1)/(2*x-1)^5 ogf] A364705 12.4215 [-(3*x^2-2*x-4)/(x^3-x^2-4*x+1) lgdogf] A364705 21.4858 [1/(x^3-x^2-4*x+1) ogf] A364705 7.03518 [{a(n)-a(n+1)-4*a(n+2)+a(n+3) a(0) = 1 a(1) = 4 a(2) = 17} ogf] A364723 9.89225 [RootOf(1+(x-1)*_Z-x*_Z^4+x*_Z^5) ogf] A364734 10.3846 [RootOf(1+(x-1)*_Z-x*_Z^5+x*_Z^6) ogf] A364737 9.79467 [RootOf(-1+(1-x)*_Z-x*_Z^4+x*_Z^5) ogf] A364738 10.5373 [RootOf(-1+(1-x)*_Z-x*_Z^5+x*_Z^6) ogf] A364739 10.2364 [RootOf(_Z^5*x-_Z^4*x+_Z^2*x-_Z+1) ogf] A364740 10.5592 [RootOf(_Z^6*x-_Z^5*x+_Z^2*x-_Z+1) ogf] A364742 14.5988 [x/(x^4+3*x^3+3*x^2+x+1) revogf] A364743 11.4940 [x/(x^5+4*x^4+6*x^3+4*x^2+x+1) revogf] A364744 9.58564 [x/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x+1) revogf] A364748 9.60525 [RootOf(1+(-x-1)*_Z+x*_Z^2+x*_Z^5) ogf] A364754 13.5075 [x*(x^2+1)/(x-1)/(x^2+4*x-1) ogf] A364754 9.36318 [-(x^4+8*x^2+4*x-5)/(x^5+3*x^4-4*x^3+4*x^2-5*x+1) lgdogf] A364759 9.70848 [RootOf(1+(x-1)*_Z-x*_Z^2+x*_Z^5) ogf] A364760 14.5968 [-x/(x^3+2*x^2+x-1) revogf] A364761 12.3172 [-x/(x^4+3*x^3+3*x^2+x-1) revogf] A364762 11.2780 [-x/(x^5+4*x^4+6*x^3+4*x^2+x-1) revogf] A364763 9.68624 [-x/(x^6+5*x^5+10*x^4+10*x^3+5*x^2+x-1) revogf] A364764 10.5175 [RootOf(_Z^5*x-_Z^4*x-_Z^2*x+_Z-1) ogf] A364765 9.80515 [RootOf(_Z^6*x-_Z^5*x+_Z^4*x-_Z+1) ogf] A364811 4.21323 [-(3*x^4+2*x^3+2*x^2-1)/(x-1)/(2*x-1)/(x+1)/(x^2+1) ogf] A364816 12.2612 [-1+(x+ln(x+1)+1)*exp(-x) revegf] A364826 11.0885 [RootOf(3*_Z^5*x-_Z^4*x-_Z+1) ogf] A364827 11.6140 [RootOf(3*_Z^6*x-_Z^5*x-_Z+1) ogf] A364833 12.8891 [-(-x^4-x^2+x)/(x^3-1) revogf] A364865 12.5828 [RootOf(_Z^5*x-2*_Z^4*x+_Z-1) ogf] A364866 12.7700 [RootOf(_Z^6*x-2*_Z^5*x+_Z-1) ogf] A364922 12.6501 [-4*(x^4-5*x^3+10*x^2-6*x+12)/(x-1)^5 ogf] A364922 7.81330 [-(x^4-6*x^3+15*x^2-4*x+54)/(x^5-6*x^4+15*x^3-16*x^2+18*x-12) lgdogf] A364924 11.8739 [RootOf(3*_Z^5*x-2*_Z^4*x-_Z+1) ogf] A364946 7.89661 [x^3*(x^8-7*x^7+15*x^6-15*x^5+4*x^4+3*x^3+7*x^2-5*x-4)/(x-1)^7 ogf] A364956 17.8607 [-2*(2*x+1)/(2*x^3+2*x^2-x-1) lgdogf] A364956 24.3950 [-(x+1)^2/(2*x^2-1) ogf] A365062 11.0806 [-(-6*x^4+4*x^3-1)/(2*x^5-x^4+2*x^2-3*x+1) lgdogf] A365062 20.5396 [(x^4+x-1)/(2*x-1) ogf] A365083 12.8062 [(x+1)^4/(x^4+4*x^3+6*x^2+3*x+1) ogf] A365083 9.99941 [-(3*x-1)/(x^5+5*x^4+10*x^3+9*x^2+4*x+1) lgdogf] A365084 10.6607 [(x+1)^5/(x^5+5*x^4+10*x^3+10*x^2+4*x+1) ogf] A365084 8.60566 [-(4*x-1)/(x^6+6*x^5+15*x^4+20*x^3+14*x^2+5*x+1) lgdogf] A365085 12.8810 [-(-x^3-2*x^2-x)/(x^2+3*x+1) revogf] A365086 9.25124 [-(-x^4-3*x^3-3*x^2-x)/(x^3+3*x^2+4*x+1) revogf] A365087 7.29532 [-(-x^5-4*x^4-6*x^3-4*x^2-x)/(x^4+4*x^3+6*x^2+5*x+1) revogf] A365088 6.03540 [-(-x^6-5*x^5-10*x^4-10*x^3-5*x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+6*x+1) revogf] A365103 5.63303 [{4*a(n)-a(n+1)-4*a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 2} ogf] A365103 6.71170 [-(28*x^4+16*x^3+14*x^2-12*x+2)/(28*x^5+x^4-34*x^3+6*x-1) lgdogf] A365103 9.14347 [-(7*x^2+2*x-1)/(x-1)/(4*x-1)/(x+1) ogf] A365104 9.84557 [-(5*x^5+4*x^4+4*x^3+20*x^2-1)/(x-1)/(5*x-1)/(x^4+x^3+x^2+x+1) ogf] A365110 7.06031 [(-1/2*x^2-x-1/2+1/2*(x^4+4*x^3+10*x^2+8*x+1)^(1/2))*(x+1) revogf] A365111 7.38268 [(-1/2*x^2-x-1/2+1/2*(x^4+4*x^3+6*x^2+8*x+1)^(1/2))*(x+1)^2 revogf] A365113 8.13660 [(1/2*x^2-x+1/2-1/2*(x^4-4*x^3+2*x^2+1)^(1/2))*(x-1) revogf] A365114 7.54425 [(-1/2*x^2+x-1/2+1/2*(x^4-4*x^3+6*x^2+1)^(1/2))*(x-1)^2 revogf] A365128 10.2277 [x/(x^6+3*x^5+6*x^4+7*x^3+6*x^2+3*x+1) revogf] A365129 10.3287 [x/(x^6+4*x^5+6*x^4+6*x^3+5*x^2+2*x+1) revogf] A365130 6.84232 [x/(x^9+6*x^8+15*x^7+23*x^6+27*x^5+24*x^4+16*x^3+9*x^2+3*x+1) revogf] A365131 7.76273 [x/(x^8+6*x^7+15*x^6+20*x^5+17*x^4+12*x^3+7*x^2+2*x+1) revogf] A365133 7.97505 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^4-2*x^3+3*x^2-2*x+1) revogf] A365137 12.1148 [-x^2*(x-1)/(10*x-1)/(9*x^2+9*x-1) ogf] A365137 8.25410 [-(180*x^3-189*x^2-162*x+18)/(90*x^4-9*x^3-100*x^2+20*x-1) lgdogf] A365146 8.25826 [(3/2*x-1/2-1/2*(5*x^2-6*x+1)^(1/2))*x/(x-1) revogf] A365148 6.63995 [(1/2*x^2-2*x+1/2+1/2*(x^4-8*x^3+14*x^2-8*x+1)^(1/2))*x/(x-1)^2 revogf] A365150 9.28270 [-(-x^4+3*x^3-4*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A365153 9.17585 [(-x^2-x+1/2+1/2*(-4*x^2-4*x+1)^(1/2))*x revogf] A365180 12.5889 [RootOf(_Z^5*x^2+_Z^4*x-_Z+1) ogf] A365181 13.1509 [RootOf(_Z^6*x^2+_Z^4*x-_Z+1) ogf] A365184 12.5163 [RootOf(1-_Z+(x^2+x)*_Z^5) ogf] A365185 12.3995 [RootOf(_Z^6*x^2+_Z^5*x-_Z+1) ogf] A365192 10.0737 [RootOf(_Z^5*x+_Z^3*x-_Z^2*x-_Z+1) ogf] A365193 10.1633 [RootOf(_Z^5*x+_Z^4*x-_Z^3*x-_Z+1) ogf] A365194 10.4767 [RootOf(_Z^7*x-_Z^6*x+_Z^5*x-_Z+1) ogf] A365204 11.0665 [-(x^4+140*x^3+294*x^2+140*x+1)/(x-1)^5 ogf] A365204 6.50405 [-(x^4+284*x^3+1302*x^2+1148*x+145)/(x^5+139*x^4+154*x^3-154*x^2-139*x-1) lgdogf] A365205 12.1769 [-(x^4+16*x^3+26*x^2+16*x+1)/(x-1)^5 ogf] A365205 7.35213 [-(x^4+36*x^3+126*x^2+116*x+21)/(x^5+15*x^4+10*x^3-10*x^2-15*x-1) lgdogf] A365206 12.1032 [-(x^4+44*x^3+102*x^2+44*x+1)/(x-1)^5 ogf] A365206 7.42184 [-(x^4+92*x^3+438*x^2+380*x+49)/(x^5+43*x^4+58*x^3-58*x^2-43*x-1) lgdogf] A365218 11.9566 [RootOf(_Z^7*x-2*_Z^6*x+_Z-1) ogf] A365223 10.8568 [RootOf(_Z^5*x-_Z^4*x-_Z^3*x+_Z-1) ogf] A365224 9.58089 [RootOf(_Z^6*x-_Z^5*x-_Z^4*x+_Z-1) ogf] A365225 10.0913 [RootOf(_Z^5*x-_Z^3*x+_Z^2*x-_Z+1) ogf] A365226 9.91369 [RootOf(_Z^7*x-_Z^6*x-_Z^5*x+_Z-1) ogf] A365244 8.08884 [1/2/(x+1)*(x^2+1+(x^4-4*x^3-2*x^2+1)^(1/2))*x revogf] A365246 10.8283 [RootOf(_Z^5*x^2-_Z^4*x^2+_Z^2*x-_Z+1) ogf] A365247 10.7114 [RootOf(_Z^5*x^3-_Z^4*x^3+_Z^2*x-_Z+1) ogf] A365247 7.00366 [(1/2*x^3-1/2*x+1/2+1/2*(x^6-2*x^4-2*x^3+x^2-2*x+1)^(1/2))*x revogf] A365250 9.86758 [RootOf(_Z^7*x^2-_Z^6*x^2+_Z^3*x-_Z+1) ogf] A365268 14.6940 [-(x^2-x)/(x^4+1) revogf] A365273 11.9217 [-6*(2*x-1)/(6*x-1)/(x-1) ogf] A365273 7.03816 [{6*a(n)-7*a(n+1)+a(n+2) a(0) = 6 a(1) = 30} ogf] A365273 8.59069 [-(12*x^2-12*x+5)/(12*x^3-20*x^2+9*x-1) lgdogf] A365274 8.49380 [(x^8-x^5-2*x^4+x^3+x+1)/(x^10+2*x^8-4*x^4-x^2+1) ogf] A365293 13.5725 [-1/(x^4+x^3+x^2+x-1) egf] A365293 8.31315 [-(4*x^3+3*x^2+2*x+1)/(x^4+x^3+x^2+x-1) lgdegf] A365330 11.3694 [-(6*x^2+4*x+2)/(x^3+x^2+x-1) lgdegf] A365330 17.7473 [x^3/(x^3+x^2+x-1)^2 egf] A365335 28.2309 [-1/(x-1) lgdogf] A365335 31.6186 [-1/(x-1) ogf] A365340 5.25825 [{(-256*n^3-384*n^2-176*n-24)*a(n)+(27*n^2+54*n+24)*a(n+1) a(0) = 1} ogf] A365341 15.6501 [RootOf(_Z^5*x-_Z+1) egf] A365373 12.5549 [-(4*x^2-8*x+40)/(x^3-3*x^2+9*x-7) lgdogf] A365373 18.1348 [x^2*(x^2-2*x+7)/(x-1)^6 ogf] A365417 8.79877 [(2*x^9-6*x^8+8*x^7-7*x^6+2*x^5+2*x^4-5*x^3+2*x^2-1)/(x^2-x+1)^2/(x-1)^3 ogf] A365418 12.8778 [-(x^4+4*x^3+4*x^2+4*x+1)/(x^2+x+1)/(x-1)^3 ogf] A365458 17.4694 [-(18*x^26+6*x^8+2*x^2+1)/(x-1) ogf] A365459 12.4923 [x*(18*x^26-18*x^25+6*x^8-6*x^7+2*x^2-2*x+1)/(x-1)^2 ogf] A365486 7.89114 [(x^6-2*x^5+7*x^4+20*x^3-9*x^2+6*x+1)/(x^2+1)/(x+1)^2/(x-1)^4 ogf] A365510 2.00928 [1/2/(x^2-x-1)*(-3*x-1+(4*x^3+5*x^2+2*x+1)^(1/2)) revogf] A365516 13.7731 [-(2*x^4-2*x^2-x)/(4*x^2+4*x+1) revogf] A365544 12.5258 [-(18*x^2-6*x-2)/(6*x^3-3*x^2-2*x+1) lgdogf] A365544 18.0927 [2*x^3/(2*x-1)/(3*x^2-1) ogf] A365574 10.5814 [-(2*x^4+2*x^3-x)/(4*x^4-4*x^3-3*x^2+2*x+1) revogf] A365606 11.7029 [-4*(31*x^2-19*x+2)/(x-1)/(3*x-1)/(8*x-1) ogf] A365606 7.10176 [{-24*a(n)+35*a(n+1)-12*a(n+2)+a(n+3) a(0) = 8 a(1) = 20 a(2) = 84} ogf] A365606 7.28864 [-(744*x^4-912*x^3+437*x^2-78*x+5)/(744*x^5-1541*x^4+1085*x^3-329*x^2+43*x-2) lgdogf] A365607 12.1299 [8*x*(19*x-5)/(x-1)/(3*x-1)/(8*x-1) ogf] A365607 6.84256 [{-24*a(n)+35*a(n+1)-12*a(n+2)+a(n+3) a(0) = 0 a(1) = 40 a(2) = 328} ogf] A365607 8.42715 [-(912*x^3-1025*x^2+350*x-41)/(456*x^4-785*x^3+403*x^2-79*x+5) lgdogf] A365608 12.9695 [-4*x*(13*x+1)/(x-1)/(3*x-1)/(8*x-1) ogf] A365608 7.37922 [{-24*a(n)+35*a(n+1)-12*a(n+2)+a(n+3) a(0) = 0 a(1) = 4 a(2) = 100} ogf] A365608 9.30423 [-(624*x^3-383*x^2-70*x+25)/(312*x^4-431*x^3+121*x^2-x-1) lgdogf] A365609 11.7979 [(1/2+1/2*(-4*x^3-4*x^2+1)^(1/2))*x revogf] A365609 13.7284 [RootOf(_Z^5*x^3+_Z^4*x^2-_Z+1) ogf] A365622 5.16049 [-(x^6-5*x^5+10*x^4-10*x^3+5*x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A365645 12.1312 [x*(110*x^3-30*x^2+1)/(10*x-1)^3/(x-1)^3 ogf] A365645 7.36945 [-(3300*x^4-1200*x^3+120*x-33)/(1100*x^5-1510*x^4+440*x^3-20*x^2-11*x+1) lgdogf] A365668 7.11337 [RootOf(x+(5*x-1)*_Z+(10*x+2)*_Z^2+10*x*_Z^3+5*x*_Z^4+x*_Z^5) ogf] A365668 9.75808 [-(2*x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A365679 12.0429 [-2*(x+1)*(4*x^2-3*x-2)/(2*x^2-1)^2 ogf] A365679 7.42042 [-(8*x^4+4*x^3-18*x^2-14*x-5)/(8*x^5+2*x^4-14*x^3-5*x^2+5*x+2) lgdogf] A365690 8.81912 [-1/2*(1-x+(4*x^3-3*x^2-2*x+1)^(1/2))/(x-1)*x revogf] A365691 10.0904 [RootOf(1+(-x-1)*_Z+x*_Z^2+x^2*_Z^5) ogf] A365692 10.3251 [RootOf(1+(x-1)*_Z-x^2*_Z^4+x^2*_Z^5) ogf] A365693 10.9821 [RootOf(1+(x-1)*_Z-x^2*_Z^5+x^2*_Z^6) ogf] A365694 7.18930 [1/2*I*(I*x+I-(4*x^3-x^2+2*x-1)^(1/2))/(-x+I)/(x+I)/x ogf] A365695 11.1254 [RootOf(1+(-x-1)*_Z+x*_Z^2+x^3*_Z^5) ogf] A365695 8.58592 [-1/2*(1-x+(4*x^4-4*x^3+x^2-2*x+1)^(1/2))/(x-1)*x revogf] A365696 7.49528 [-1/2*I*(-((2*x-1)*(2*x^2-x+1)/(x+1))^(1/2)+I)/x/(x^2-x+1) ogf] A365698 7.45749 [1/2*I*(-I*x+((x+1)*(2*x^2-2*x+1)*(2*x^3+x-1))^(1/2)-I)/x ogf] A365702 15.8851 [-(x^2-x)/(x^5-x+1) revogf] A365724 20.1886 [x/(x^4+x^3+1) revogf] A365725 14.2037 [RootOf(_Z^5*x^4+_Z^4*x^3-_Z+1) ogf] A365725 24.4127 [-x^5-x^4+x revogf] A365726 12.3882 [(1/2+1/2*(-4*x^4-4*x^3+1)^(1/2))*x revogf] A365726 14.4153 [RootOf(_Z^6*x^4+_Z^5*x^3-_Z+1) ogf] A365727 10.7248 [-1/2*(x^4+(x^8-4*x^5-2*x^4+1)^(1/2)-1)/x^5 ogf] A365730 14.3141 [RootOf(_Z^5*x^5+_Z^4*x^4-_Z+1) ogf] A365730 19.6819 [x/(x^5+x^4+1) revogf] A365731 26.3431 [-x^6-x^5+x revogf] A365751 15.8912 [-x*(x+1)*(x-1)^3 revogf] A365752 16.4404 [x*(x+1)*(x-1)^4 revogf] A365753 16.3297 [-x*(x+1)*(x-1)^5 revogf] A365754 10.7006 [-(x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A365755 8.91037 [-(x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A365756 10.8339 [RootOf(1+(x-1)*_Z-x^3*_Z^4+x^3*_Z^5) ogf] A365756 8.36102 [1/2/(x+1)*(x^3+1+(x^6-4*x^4-2*x^3+1)^(1/2))*x revogf] A365757 11.3176 [RootOf(1+(x-1)*_Z-x^3*_Z^5+x^3*_Z^6) ogf] A365759 10.5731 [1/2/(x+1)*(1+(-4*x^5-4*x^4+1)^(1/2))*x revogf] A365760 18.1183 [-(x^6-x)/(x+1) revogf] A365761 12.8692 [RootOf(1+(x-1)*_Z+x^3*_Z^6) ogf] A365764 11.9244 [-(x^4-3*x^3+3*x^2-x)/(x+1) revogf] A365765 9.91234 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x+1) revogf] A365766 8.19158 [-(x^6-5*x^5+10*x^4-10*x^3+5*x^2-x)/(x+1) revogf] A365772 12.7122 [-(-4*x^3+4*x^2-x)/(4*x^2-3*x+1) revogf] A365773 12.8555 [-(-9*x^3+6*x^2-x)/(9*x^2-5*x+1) revogf] A365774 12.0152 [-(-16*x^3+8*x^2-x)/(16*x^2-7*x+1) revogf] A365775 11.5498 [-(-25*x^3+10*x^2-x)/(25*x^2-9*x+1) revogf] A365816 12.3810 [-(3*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365817 13.1929 [-(4*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365818 13.9033 [-(5*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365824 12.8242 [-(5*x^2-10*x)/(5*x^3-4*x^2-2*x+1) lgdogf] A365824 19.0798 [(x-1)/(5*x^2+x-1) ogf] A365824 9.65772 [{-5*a(n)-a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A365834 14.6221 [-(15200*x^6+1040*x^5+28*x+51)/(2*x-1) ogf] A365839 10.9245 [-(x^4-3*x^3+3*x^2-x)/(x^2+2*x+1) revogf] A365840 8.32967 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^2+2*x+1) revogf] A365841 7.77195 [-(x^6-5*x^5+10*x^4-10*x^3+5*x^2-x)/(x^2+2*x+1) revogf] A365842 10.8349 [-(-x^3+2*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365843 9.30253 [-(x^4-3*x^3+3*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365844 7.95700 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365845 6.54946 [-(x^6-5*x^5+10*x^4-10*x^3+5*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A365846 7.88689 [-(x^4-3*x^3+3*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A365847 6.66041 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A365848 6.26247 [-(x^6-5*x^5+10*x^4-10*x^3+5*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A365852 10.8642 [-(372*x^2+276*x+93)/(520*x^4+372*x^3-122*x^2-93*x-2) lgdogf] A365852 15.2098 [-(130*x^2+93*x+2)/(2*x-1)/(2*x+1) ogf] A365852 9.60619 [{-4*n*a(n)+n*a(n+2) a(0) = 2 a(1) = 93 a(2) = 138} ogf] A365855 18.0291 [x*(x+1)^2*(x-1)^4 revogf] A365878 17.3998 [x*(x+1)^3*(x-1)^4 revogf] A365887 14.9128 [(81*x^2+487*x+80)/(x+1)/(x-1)^2 ogf] A365887 9.04288 [-(81*x^3+1055*x^2+889*x+567)/(81*x^4+487*x^3-x^2-487*x-80) lgdogf] A365888 11.0591 [(3484377*x^2+3156248*x+3484375)/(x+1)/(x-1)^2 ogf] A365892 11.6937 [-(x^5-4*x^3+3*x^2+3*x+1)/(x+1)^2/(x-1)^3 ogf] A365892 7.55435 [-(x^5-3*x^4+5*x^3+3*x^2+14*x+4)/(x^7-5*x^5+3*x^4+7*x^3-2*x^2-3*x-1) lgdogf] A365907 10.1759 [-x*(x^3+6*x^2-1)/(x-1)/(x^2+4*x-1) ogf] A365907 6.81511 [-(3*x^4+10*x^3+24*x^2-18*x+5)/(x^6+9*x^5+13*x^4-30*x^3+3*x^2+5*x-1) lgdogf] A365929 13.9881 [-(6*x^2+48*x+36)/(2*x^3+9*x^2-6*x-5) lgdogf] A365929 17.4191 [-3*x^2*(x+5)*(2*x+1)/(x-1)^5 ogf] A365934 10.2209 [-(72*x^2-70*x+12)/(24*x^3-35*x^2+12*x-1) lgdogf] A365934 13.2493 [-16*x/(x-1)/(3*x-1)/(8*x-1) ogf] A365934 6.11506 [{-24*a(n)+35*a(n+1)-12*a(n+2)+a(n+3) a(0) = 0 a(1) = 16 a(2) = 192} ogf] A365967 12.2771 [-(x^2-x-1)/(x^6-x^4-3*x^2+1) ogf] A365969 23.1402 [-1/(x^5-1) lgdegf] A365971 20.5691 [-x/(x^3-1) lgdegf] A365972 19.1566 [-x/(x^5-1) lgdegf] A365973 19.1566 [-x^2/(x^4-1) lgdegf] A365973 8.62047 [(-1)^(1/4)/(x-1)^(1/4)*(x+1)^(1/4)*exp(-1/2*arctan(x)) egf] A365974 18.2738 [-x^2/(x^5-1) lgdegf] A365976 6.50285 [-45*(45*x^8-234*x^4+221)/(1024*x^9-2025*x^8-8541*x^5+10530*x^4+9945*x-9945) egf] A365989 19.0450 [-x^3/(x^5-1) lgdegf] A365990 7.19320 [36*(18*x^10-126*x^5+133)/(648*x^10+602*x^9-4536*x^5-1197*x^4+4788) egf] A366014 10.6558 [-(2*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366015 11.4170 [-(3*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366016 11.9990 [-(4*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366017 12.6258 [-(5*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366023 19.1094 [-x^6+x^5-x^2+x revogf] A366024 18.3271 [-x^7+x^6-x^2+x revogf] A366025 15.7585 [-(x^2-x)/(x^5+1) revogf] A366035 10.3045 [-(3*x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A366035 7.51171 [RootOf(x+(5*x-1)*_Z+(10*x+3)*_Z^2+10*x*_Z^3+5*x*_Z^4+x*_Z^5) ogf] A366036 10.8119 [-(4*x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A366036 7.88161 [RootOf(x+(5*x-1)*_Z+(10*x+4)*_Z^2+10*x*_Z^3+5*x*_Z^4+x*_Z^5) ogf] A366037 11.2413 [-(5*x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A366037 8.19460 [RootOf(x+(5*x-1)*_Z+(10*x+5)*_Z^2+10*x*_Z^3+5*x*_Z^4+x*_Z^5) ogf] A366041 17.7152 [x^6-x^5-x^2+x revogf] A366042 18.9102 [x^7-x^6-x^2+x revogf] A366043 10.7921 [-(6*x^4+12*x^3+8*x^2+2*x+2)/(2*x^5+5*x^4+4*x^3+x^2-2*x-1) lgdogf] A366043 16.1051 [-(2*x+1)/(x^2+x+1)/(x^2+x-1) ogf] A366044 8.29975 [-x*(x^2+x+1)*(3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) ogf] A366045 8.97892 [-(3*x^2+2*x+1)/(x+1)/(x^2+1)/(x^3+x^2+x-1) ogf] A366046 24.2025 [x^6-x^2+x revogf] A366049 10.3287 [-(x^4-3*x^3+3*x^2-x)/(x^2-x+1) revogf] A366050 8.73296 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^2-x+1) revogf] A366051 20.1049 [x/(x^3-x+1) revogf] A366052 9.91368 [-(x^4-3*x^3+3*x^2-x)/(x^3-x+1) revogf] A366053 9.31379 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^3-x+1) revogf] A366054 12.0298 [-(-x^3+2*x^2-x)/(x^4-x+1) revogf] A366055 9.77535 [-(x^4-3*x^3+3*x^2-x)/(x^4-x+1) revogf] A366056 9.27312 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^4-x+1) revogf] A366057 21.0602 [x/(x^5-x+1) revogf] A366058 11.0164 [-(x+1)*(6*x^2-x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A366058 7.96727 [-(96*x^4-72*x^3+6*x^2-12*x+6)/(36*x^6-36*x^5-19*x^4+30*x^3-16*x^2+6*x-1) lgdogf] A366070 7.75291 [-(x^3-x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A366071 14.6097 [-(x^4-x^2-x)/(x+1) revogf] A366081 12.4144 [-(x^3-2*x^2+x)/(x^2+x-1) revogf] A366082 10.2247 [-(-x^4+3*x^3-3*x^2+x)/(x^2+x-1) revogf] A366083 8.94775 [-(x^5-4*x^4+6*x^3-4*x^2+x)/(x^2+x-1) revogf] A366084 10.4221 [-(-x^4+3*x^3-3*x^2+x)/(x^3+x-1) revogf] A366085 9.23245 [-(x^5-4*x^4+6*x^3-4*x^2+x)/(x^3+x-1) revogf] A366086 19.2186 [-x/(x^4+x-1) revogf] A366087 14.8974 [-(-x^2+x)/(x^4+x-1) revogf] A366088 11.3850 [-(x^3-2*x^2+x)/(x^4+x-1) revogf] A366089 9.68313 [-(-x^4+3*x^3-3*x^2+x)/(x^4+x-1) revogf] A366090 8.33237 [-(x^5-4*x^4+6*x^3-4*x^2+x)/(x^4+x-1) revogf] A366095 12.5341 [-(x^4-x^2-x)/(x^2+2*x+1) revogf] A366096 10.8763 [-(x^4-x^2-x)/(x^3+3*x^2+3*x+1) revogf] A366097 9.20018 [-(x^4-x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366098 13.2867 [-(x^5-x^2-x)/(x^2+2*x+1) revogf] A366098 9.60486 [RootOf(1+(2*x-1)*_Z+(x^2-x)*_Z^2+x^4*_Z^5) ogf] A366099 11.4385 [-(x^5-x^2-x)/(x^3+3*x^2+3*x+1) revogf] A366100 9.03516 [-(x^5-x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366101 14.3544 [-(x^6-x^2-x)/(x+1) revogf] A366102 10.1954 [RootOf(-1+(1-x)*_Z+x*_Z^2+x^4*_Z^5) ogf] A366102 13.9208 [-(-x^5-x^2-x)/(x+1) revogf] A366104 12.5464 [-2*(3*x^2-2*x+3)/(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A366112 15.5684 [-(-x^6-x^2+x)/(x-1) revogf] A366114 11.0090 [-(-x^3-x^2-x)/(x^3+3*x^2+3*x+1) revogf] A366115 8.12297 [-(-x^3-x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A366116 12.5292 [-(-x^4-x^2-x)/(x^2+2*x+1) revogf] A366117 10.8786 [-(-x^4-x^2-x)/(x^3+3*x^2+3*x+1) revogf] A366118 9.57596 [-(-x^4-x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A366119 8.30267 [-(-x^4-x^2-x)/(x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A366131 11.9331 [-(12*x^3-21*x^2+6*x+1)/(6*x^4-9*x^3+x^2+3*x-1) lgdogf] A366131 17.1668 [-2*(x-1)*x^2/(2*x-1)/(3*x^2-1) ogf] A366143 9.67013 [(x^8+x^7-x^5-2*x^4+x+1)/(x^10-2*x^4-x^2+1) ogf] A366151 10.6331 [-(2*x^2-4*x-10)/(x^3-3*x^2+2) lgdogf] A366151 13.2370 [-2*x*(x^2-2*x-2)/(x-1)^4 ogf] A366151 5.45056 [{(-n^3-6*n^2-9*n-4)*a(n)+(n^3+3*n^2)*a(n+1) a(0) = 0 a(1) = 4} ogf] A366155 16.0995 [x^2/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A366155 20.4189 [exp(-1/3*x^3/(x-1)^3) egf] A366188 29.2827 [-2/(x-1) lgdogf] A366188 39.0435 [1/(x-1)^2 ogf] A366190 2.10208 [-2*(x^6-x^5+x^4+x^3+7*x^2-8*x-2)/(x-1)^2 ogf] A366199 25.9871 [2+4*exp(x) lgdegf] A366221 8.47329 [1/2/(x^3+1)*(-2*x^2+1+(-4*x^2-4*x+1)^(1/2))*x revogf] A366236 8.85881 [1/2/(x^2+1)*(-2*x^2-1+(4*x^3+4*x+1)^(1/2)) revogf] A366268 14.1971 [RootOf(_Z^5*x-_Z+x+1) ogf] A366277 13.9362 [-(7*x^5+24*x^4+12*x^3+6*x^2+6*x+3)/(2*x^2-1) ogf] A366314 10.4655 [-(54*x^3+36*x^2+6*x+4)/(27*x^4+18*x^3+6*x^2-2*x-1) lgdogf] A366314 14.4114 [-x*(3*x+1)/(3*x-1)/(3*x^2+2*x+1) ogf] A366314 7.91982 [{-9*a(n)-3*a(n+1)-a(n+2)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 4} ogf] A366325 11.5607 [1/2*x+1/2+1/2*((x+1)*(5*x+1))^(1/2) ogf] A366326 9.32285 [RootOf(_Z^5+_Z^4+_Z^2*x^2+_Z*x^2-x^3) revogf] A366328 11.5888 [RootOf(-x^2-x+(-x-1)*_Z^4+_Z^5) ogf] A366356 10.0867 [-1/2*(1+(4*x^3-8*x^2+4*x+1)^(1/2))/(x-1) ogf] A366357 8.36165 [RootOf(x^3+(-x^3-x^2)*_Z-_Z^4+_Z^5) revogf] A366359 10.5333 [RootOf(-x^2+x+_Z^4+(x-1)*_Z^5) ogf] A366363 11.2058 [-1/2*(1+(-4*x^2+4*x+1)^(1/2))/(x-1) ogf] A366366 11.8164 [RootOf(x+_Z^4+(x-1)*_Z^5) ogf] A366393 6.63549 [(1000*x^6-10000*x^5+17000*x^4-7120*x^3-1061*x^2+73*x+9)/(x-1)^2/(10*x+1)^2/(10*x-1)^2 ogf] A366400 8.66179 [(-1/2*x+1/2+1/2*(-3*x^2-2*x+1)^(1/2))*x/(x+1) revogf] A366401 5.97833 [RootOf(1+(2*x-1)*_Z+x^2*_Z^2+x^2*_Z^3+x^2*_Z^4+x^2*_Z^5+x^2*_Z^6) ogf] A366403 9.02802 [-1/2*(x+1+(-(3*x+1)*(x-1))^(1/2))/(x-1) ogf] A366415 8.09927 [-2*(6*x^4-12*x^3-13*x^2+12*x+5)/(x+1)/(x-1)^2/(2*x^2-1)^3 ogf] A366424 7.94685 [{-a(n)+a(n+6) a(0) = 3 a(1) = 3 a(2) = 2 a(3) = 2 a(4) = 2 a(5) = 4} ogf] A366434 9.75976 [RootOf(_Z^6-2*_Z^5+_Z^4+_Z*x^2-x^3) revogf] A366455 5.97833 [RootOf(x^2+x^2*_Z+x^2*_Z^2+x^2*_Z^3+x^2*_Z^4+(-2*x-1)*_Z^5+_Z^6) ogf] A366457 13.3272 [-(59*x^2-112*x+59)/(59*x^3-174*x^2+173*x-58) lgdogf] A366457 20.1267 [-(59*x^2-115*x+58)/(x-1)^3 ogf] A366457 9.96172 [{(-n^2-2*n-59)*a(n)+(n^2+58)*a(n+1) a(0) = 58} ogf] A366458 12.6867 [-(163*x^2-166*x-3)/(163*x^3-409*x^2+327*x-81) lgdogf] A366458 20.6848 [(163*x^2-246*x+81)/(x-1)^3 ogf] A366458 9.14905 [{(-n^2-85*n-3)*a(n)+(n^2+83*n-81)*a(n+1) a(0) = -81} ogf] A366478 13.8269 [-(2*x^4+10*x^3+8*x^2-3*x+1)/(x-1)^5 ogf] A366478 8.65932 [-(2*x^4+28*x^3+54*x^2+4*x+2)/(2*x^5+8*x^4-2*x^3-11*x^2+4*x-1) lgdogf] A366506 12.7379 [-(5*x^2+2*x-4)/(x-1)/(x^2+x-1) ogf] A366506 8.36328 [-(5*x^4+4*x^3-2*x^2-10*x+6)/(5*x^5+2*x^4-14*x^3+x^2+10*x-4) lgdogf] A366506 8.80813 [{a(n)-2*a(n+2)+a(n+3) a(0) = 4 a(1) = 6 a(2) = 7} ogf] A366508 9.00555 [-(5*x^3-13*x^2+4*x+2)/(x-1)/(x+1)/(x^2-3*x+1) ogf] A366511 8.83915 [-(10*x^3-35*x^2+32*x-8)/(x-1)/(2*x-1)/(x^2-3*x+1) ogf] A366523 10.3872 [-(3*x^15+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A366524 10.3872 [-(3*x^19+x^3+x^2+x+1)/(x-1)/(x+1)/(x^2+1) ogf] A366542 12.0784 [2*(2*x^5-3*x^4+x^2-2*x+1)/(2*x-1)/(x-1)^3 ogf] A366557 15.2636 [-1/2+1/2*(-4*x^4+4*x+1)^(1/2) revogf] A366588 10.4363 [-1/2*I*(I-(4*x^4+4*x^3-1)^(1/2))/x^3/(x+1) ogf] A366619 11.0876 [(3*x^4-2*x^2+x+4)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A366676 11.3282 [RootOf(_Z^5+x^3+_Z^2-_Z*x) revogf] A366694 10.5429 [1/2*I*((4*x^3+8*x^2+4*x-1)^(1/2)-I)/x ogf] A366697 8.25826 [RootOf(_Z^5+3*_Z^4+3*_Z^3+x^3+_Z^2-_Z*x) revogf] A366721 15.8449 [-(x^32+x^10+x^4+1)/(x-1) ogf] A366724 14.4310 [(x^5-2*x^4+2*x^3-3*x^2+2*x-1)/(x-1)^5 ogf] A366724 9.01939 [-(3*x^4-4*x^3-3*x^2+2*x-3)/(x^6-3*x^5+4*x^4-5*x^3+5*x^2-3*x+1) lgdogf] A366728 6.89176 [(x^15-x^14+x^11-x^10+x^9-x^5+2*x^4+x^3-2*x^2-2*x-6)/(x-1) ogf] A366776 26.2738 [exp(x) lgdegf] A366815 10.8786 [2*(6*x^4+45*x^3-527*x^2-652*x-224)/(x-1)^5 ogf] A366815 6.37714 [-(6*x^4+114*x^3-1446*x^2-3662*x-1772)/(6*x^5+39*x^4-572*x^3-125*x^2+428*x+224) lgdogf] A366816 10.6821 [-(38*x^2+314*x+324)/(19*x^3+73*x^2-34*x-58) lgdogf] A366816 16.2456 [4*(19*x^2+92*x+58)/(x-1)^4 ogf] A366817 10.8163 [-(56*x^2-7*x-149)/(28*x^3-49*x^2-11*x+32) lgdogf] A366817 15.9990 [-2*(28*x^2-21*x-32)/(x-1)^4 ogf] A366827 11.5454 [-(450*x^2+822*x+128)/(225*x^3-101*x^2-123*x-1) lgdogf] A366827 17.9072 [x*(225*x^2+124*x+1)/(x-1)^4 ogf] A366837 8.61279 [-(-x^3-2*x^2-x)/(x^4-4*x^3-6*x^2-4*x+1) revogf] A366932 13.4041 [-3*(x+1)*(5*x^3+15*x^2-3*x+1)/(x-1)^5 ogf] A366932 8.75916 [-(5*x^4+60*x^3+96*x^2+16*x+3)/(5*x^5+15*x^4-8*x^3-14*x^2+3*x-1) lgdogf] A366940 4.34290 [87*x^9+83*x^8+97*x^7+123*x^6+96*x^5+66*x^4+36*x^3+13*x^2+6*x+3 ogf] A366941 12.7242 [-(625*x^2+350*x+25)/(625*x^3+175*x^2-25*x-7) lgdogf] A366941 14.2665 [{-25*a(n)+a(n+2) a(0) = 7 a(1) = 25} ogf] A366941 18.8317 [-(25*x+7)/(5*x-1)/(5*x+1) ogf] A366942 11.0936 [-(9*x^2+4*x+1)/(3*x^3+2*x^2+x-1) lgdegf] A366942 17.3167 [-1/(3*x^3+2*x^2+x-1) egf] A366950 20.6069 [exp(x^2*(3*x+1)) egf] A366950 28.3345 [9*x^2+2*x lgdegf] A366957 12.4499 [-(9*x^2+2*x)/(3*x^3+x^2-1) lgdegf] A366957 18.8431 [-1/(3*x^3+x^2-1) egf] A366980 12.4765 [RootOf(_Z^6*x^2-_Z^5*x+_Z-1) ogf] A367015 13.9819 [-(10*x^4+26*x^3+18*x^2-x+1)/(x-1)^5 ogf] A367015 8.60430 [-(10*x^4+92*x^3+132*x^2+32*x+4)/(10*x^5+16*x^4-8*x^3-19*x^2+2*x-1) lgdogf] A367017 12.8221 [RootOf(-1+_Z+(x^2-x)*_Z^5) ogf] A367027 13.2432 [RootOf(_Z^5*x^2-_Z^3*x+_Z-1) ogf] A367028 15.6919 [-(-x^3-x)/(x+1) revogf] A367029 9.03201 [1/2/(x+1)*(1+(4*x^3+4*x^2+1)^(1/2))*x revogf] A367030 11.7627 [RootOf(-1+(1-x)*_Z+x^2*_Z^5) ogf] A367031 10.2906 [(-1/2*x+1/2+1/2*(5*x^2-2*x+1)^(1/2))*x revogf] A367032 13.0634 [RootOf(_Z^5*x^2-_Z^2*x+_Z-1) ogf] A367042 12.3455 [1/2*I*((4*x^4+4*x-1)^(1/2)-I)/x ogf] A367046 11.2257 [RootOf(_Z^5-x^3-_Z^2+_Z*x) revogf] A367059 9.32507 [1/2/(x^3+1)*(1+(-4*x^4-4*x+1)^(1/2))*x revogf] A367060 8.89854 [(-1/2*x^3+1/2+1/2*(x^6-2*x^3-4*x+1)^(1/2))*x revogf] A367061 11.9706 [(1/2+1/2*(-4*x^3-4*x+1)^(1/2))*x revogf] A367061 13.0589 [RootOf(_Z^5*x^3+_Z^3*x-_Z+1) ogf] A367071 9.95032 [-1/2*x^2-1/4+1/4*(4*x^4+4*x^2+8*x+1)^(1/2) revogf] A367072 11.2637 [-x^3-1/2+1/2*(4*x^6+4*x^3+4*x+1)^(1/2) revogf] A367073 11.0237 [-1/4*x^3-1/4+1/4*(x^6+2*x^3+8*x+1)^(1/2) revogf] A367074 10.4870 [-1/2*x^3-1/4+1/4*(4*x^6+4*x^3+8*x+1)^(1/2) revogf] A367090 12.6144 [-(62*x^5-62*x^4+79*x^3-79*x^2+61*x-62)/(x-1)^2 ogf] A367111 21.1630 [x/(2*x^3+x+1) revogf] A367112 19.3173 [x/(x^3+2*x+1) revogf] A367113 20.9652 [x/(2*x^3+2*x+1) revogf] A367114 20.2709 [x/(x^4+2*x+1) revogf] A367115 19.6835 [x/(2*x^4+2*x+1) revogf] A367117 10.7829 [-(8*x^3+54*x^2+24*x+4)/(4*x^4+10*x^3-15*x^2+2*x-1) lgdogf] A367117 16.7733 [-3*(4*x^3+14*x^2-x+1)/(x-1)^5 ogf] A367118 14.3771 [-(x^4+17*x^3+27*x^2+8*x+1)/(x-1)^5 ogf] A367118 8.70923 [-(x^4+38*x^3+132*x^2+86*x+13)/(x^5+16*x^4+10*x^3-19*x^2-7*x-1) lgdogf] A367119 10.1255 [-(22*x^3+96*x^2+54*x+8)/(11*x^4+10*x^3-18*x^2-2*x-1) lgdogf] A367119 15.8326 [-3*(11*x^3+21*x^2+3*x+1)/(x-1)^5 ogf] A367121 13.4009 [-(x^4+41*x^3+111*x^2+47*x+4)/(x-1)^5 ogf] A367121 8.21756 [-(x^4+86*x^3+456*x^2+410*x+67)/(x^5+40*x^4+70*x^3-64*x^2-43*x-4) lgdogf] A367122 15.4907 [-4*(19*x^3+60*x^2+21*x+2)/(x-1)^5 ogf] A367122 9.63872 [-(38*x^3+237*x^2+204*x+31)/(19*x^4+41*x^3-39*x^2-19*x-2) lgdogf] A367172 3.19856 [RootOf(-x+(2*x+1)*_Z+26*_Z^6+762*_Z^10+11192*_Z^13+163562*_Z^16+2390512*_Z^19) revogf] A367204 12.9430 [x^2*(x^3+x^2-3*x-5)/(x-1)^3/(x+1)^3 ogf] A367204 8.58467 [-(3*x^4+4*x^3-12*x^2-28*x-3)/(x^5+x^4-4*x^3-6*x^2+3*x+5) lgdogf] A367232 8.42309 [(-1/2+1/2*x-1/2*(x^2-6*x+1)^(1/2))*x/(x-1) revogf] A367233 6.94719 [1/2/(x-1)^2*(x^2-2*x+1+(x^4-4*x^3+10*x^2-8*x+1)^(1/2))*x revogf] A367234 8.11138 [-(-x^5+4*x^4-6*x^3+5*x^2-x)/(x^4-4*x^3+6*x^2-4*x+1) revogf] A367235 6.32323 [(1/2*x^2-x+1/2+1/2*(x^4-4*x^3+6*x^2-8*x+1)^(1/2))*x/(x-1)^2 revogf] A367236 8.89268 [RootOf(_Z^5*x^2-_Z^4*x^2-2*_Z^3*x+2*_Z^2*x+_Z-x-1) ogf] A367237 8.70970 [RootOf(_Z^5*x^2-_Z^4*x^2-2*_Z^3*x+_Z^2*x+_Z-1) ogf] A367238 8.50990 [RootOf(_Z^5*x^2-_Z^4*x^2-3*_Z^3*x+2*_Z^2*x+_Z-1) ogf] A367242 8.97498 [RootOf(_Z^7*x^2-_Z^6*x^2-2*_Z^4*x+2*_Z^3*x+_Z-x-1) ogf] A367243 12.1846 [-x*(x+15)/(x-1)/(3*x-1)/(2*x-1) ogf] A367243 7.05424 [{-6*a(n)+11*a(n+1)-6*a(n+2)+a(n+3) a(0) = 0 a(1) = 15 a(2) = 91} ogf] A367243 8.83720 [-(12*x^3+259*x^2-330*x+91)/(6*x^4+79*x^3-159*x^2+89*x-15) lgdogf] A367244 12.3390 [-x*(2*x+13)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A367244 7.02047 [{-24*a(n)+26*a(n+1)-9*a(n+2)+a(n+3) a(0) = 0 a(1) = 13 a(2) = 119} ogf] A367244 8.57239 [-(96*x^3+884*x^2-676*x+119)/(48*x^4+260*x^3-320*x^2+115*x-13) lgdogf] A367245 11.5443 [-x*(3*x+11)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A367245 6.51218 [{-60*a(n)+47*a(n+1)-12*a(n+2)+a(n+3) a(0) = 0 a(1) = 11 a(2) = 135} ogf] A367245 7.69620 [-(360*x^3+1839*x^2-1034*x+135)/(180*x^4+519*x^3-481*x^2+129*x-11) lgdogf] A367246 12.5902 [-x*(4*x+9)/(6*x-1)/(4*x-1)/(5*x-1) ogf] A367246 6.99456 [{-120*a(n)+74*a(n+1)-15*a(n+2)+a(n+3) a(0) = 0 a(1) = 9 a(2) = 139} ogf] A367246 8.35064 [-(960*x^3+2944*x^2-1332*x+139)/(480*x^4+784*x^3-606*x^2+131*x-9) lgdogf] A367247 12.1739 [-x*(5*x+7)/(6*x-1)/(7*x-1)/(5*x-1) ogf] A367247 6.70599 [{-210*a(n)+107*a(n+1)-18*a(n+2)+a(n+3) a(0) = 0 a(1) = 7 a(2) = 131} ogf] A367247 7.91306 [-(2100*x^3+3875*x^2-1498*x+131)/(1050*x^4+935*x^3-659*x^2+121*x-7) lgdogf] A367248 11.4755 [-x*(6*x+5)/(6*x-1)/(8*x-1)/(7*x-1) ogf] A367248 6.32125 [{-336*a(n)+146*a(n+1)-21*a(n+2)+a(n+3) a(0) = 0 a(1) = 5 a(2) = 111} ogf] A367248 7.53441 [-(4032*x^3+4164*x^2-1460*x+111)/(2016*x^4+804*x^3-604*x^2+99*x-5) lgdogf] A367249 11.8033 [-x*(7*x+3)/(8*x-1)/(7*x-1)/(9*x-1) ogf] A367249 6.55743 [{-504*a(n)+191*a(n+1)-24*a(n+2)+a(n+3) a(0) = 0 a(1) = 3 a(2) = 79} ogf] A367249 7.82877 [-(7056*x^3+3199*x^2-1146*x+79)/(3528*x^4+175*x^3-405*x^2+65*x-3) lgdogf] A367250 11.5784 [-x*(8*x+1)/(9*x-1)/(8*x-1)/(10*x-1) ogf] A367250 6.53141 [{-720*a(n)+242*a(n+1)-27*a(n+2)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 35} ogf] A367250 7.87809 [-(11520*x^3+224*x^2-484*x+35)/(5760*x^4-1216*x^3-26*x^2+19*x-1) lgdogf] A367258 10.9215 [RootOf(1+(x-1)*_Z+2*x^2*_Z^3+x^3*_Z^5) ogf] A367258 9.23129 [1/2/(x+1)*(-2*x^2+1+(-4*x^3-4*x^2+1)^(1/2))*x revogf] A367259 9.72769 [(1/2+1/2*(-4*x^3-8*x^2-4*x+1)^(1/2))*x revogf] A367260 8.87683 [(1/2+1/2*(-4*x^4-12*x^3-12*x^2-4*x+1)^(1/2))*x revogf] A367275 13.6338 [-(162*x-30)/(81*x^2-30*x+1) lgdogf] A367275 21.2527 [1/(27*x-1)/(3*x-1) ogf] A367275 8.50109 [{81*a(n)-30*a(n+1)+a(n+2) a(0) = 1 a(1) = 30} ogf] A367286 10.9820 [x*(x^4+2*x^3+4*x^2+x+2)/(x-1)^2/(x^2+x+1)^2 ogf] A367286 7.80304 [-(2*x^6+6*x^5+16*x^4+9*x^3+18*x^2+8*x+1)/(x^7+2*x^6+4*x^5-4*x^2-x-2) lgdogf] A367291 9.04105 [-(25*x^18-52*x^17+27*x^16+5*x^6-12*x^5+7*x^4-x-1)/(x-1)^2 ogf] A367317 12.1397 [-(-x^5+x^3-2*x^2+x)/(x-1) revogf] A367389 12.1516 [-(-2*x^3-4*x^2-x)/(8*x^3+12*x^2+6*x+1) revogf] A367396 10.8608 [x^3*(x-1)/(2*x-1)/(x^4-2*x^3+x^2-2*x+1) ogf] A367396 6.83485 [-(8*x^5-25*x^4+28*x^3-17*x^2+10*x-3)/(2*x^6-7*x^5+9*x^4-9*x^3+9*x^2-5*x+1) lgdogf] A367400 10.0960 [-(x^3-x^2-1)/(x^4-2*x^3+x^2-2*x+1) ogf] A367400 6.35353 [-(x^6-2*x^5+x^4+x^2+2)/(x^7-3*x^6+3*x^5-4*x^4+5*x^3-2*x^2+2*x-1) lgdogf] A367413 11.6808 [-(2*x^4-3*x^3+3*x^2-x)/(x^2-2*x+1) revogf] A367414 9.75742 [-(x^5+x^4-3*x^3+3*x^2-x)/(x^2-2*x+1) revogf] A367415 9.97425 [-(-4*x^4+6*x^3-4*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A367456 10.7914 [{-7*a(n)-a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A367456 14.3296 [-(7*x^2-14*x)/(7*x^3-6*x^2-2*x+1) lgdogf] A367456 21.3197 [(x-1)/(7*x^2+x-1) ogf] A367462 13.0475 [-(-x^2-x)/(x^3+x^2+2*x+1) revogf] A367484 2.63288 [RootOf(x+(-3*x-1)*_Z+2*_Z^3+(-x+2)*_Z^4+(3*x+3)*_Z^5) revogf] A367484 2.68717 [-(3*x^4+2*x^3+2*x^2-1)/(x-1)/(3*x-1)/(x+1)/(x^2+1) ogf] A367539 10.9815 [-(x^10-x^9+x^7-x^6+x^4+x-3)/(x-1)^2 ogf] A367548 8.05649 [-1/2*(12*x+3+((4*x+1)*(3+4*x)^2)^(1/2))/(4*x+1)/(4*x-3) ogf] A367591 15.0000 [-(12*x-10)/(3*x^2-4*x+1) lgdogf] A367591 22.7272 [1/(x-1)/(3*x-1)^3 ogf] A367592 14.4860 [-(16*x-13)/(4*x^2-5*x+1) lgdogf] A367592 21.9484 [1/(x-1)/(4*x-1)^3 ogf] A367599 2.77403 [(45*x^3+47*x^2+3*x-1)/(9*x-1) ogf] A367636 10.6930 [-2*(42*x^2-16*x+1)/(16*x-1)/(2*x-1)/(4*x-1) ogf] A367636 6.46977 [-(5376*x^4-4096*x^3+1124*x^2-124*x+6)/(5376*x^5-6416*x^4+2716*x^3-498*x^2+38*x-1) lgdogf] A367637 12.5832 [(5*x^6+1)/(x^12+x^7-2*x^6-x+1) lgdogf] A367637 8.26169 [(x^37+x^36-x^31+x^6-1)/(x^36+x^32-x^31+x^6+x-1) ogf] A367639 10.0420 [1/2*I*(-I+(4*x^2+4*x-1)^(1/2))*(x+1)/x ogf] A367644 9.73301 [-(4*x^3-6*x^2+6*x-3)/(x-1)/(x^3-x^2+2*x-1) ogf] A367650 13.6260 [-9*(8915*x-2126)/(10*x-1)/(x-1) ogf] A367650 8.20492 [{10*a(n)-11*a(n+1)+a(n+2) a(0) = 19134 a(1) = 130239} ogf] A367650 8.29411 [-(89150*x^2-42520*x+14471)/(89150*x^3-119325*x^2+32301*x-2126) lgdogf] A367653 8.28359 [-(2*x^4-1)/(x^8+x^7+x^6+x^5-3*x^4-x^3-x^2-x+1) ogf] A367654 7.04832 [-(2*x^5-1)/(x^10+x^9+x^8+x^7+x^6-3*x^5-x^4-x^3-x^2-x+1) ogf] A367659 7.41002 [-(2*x^12-2*x^9-2*x^3+1)/(2*x^13-2*x^12-4*x^10+2*x^9-2*x^4+2*x^3+2*x-1) ogf] A367660 7.92065 [(x^16-x^12-2*x^4+1)/(x^16+2*x^13-x^12+2*x^5-2*x^4-2*x+1) ogf] A367661 13.3112 [-(2*x^5-1)/(2*x^6-2*x^5-2*x+1) ogf] A367661 8.72118 [-2*(2*x^10+2*x^5+1)/(4*x^11-4*x^10-6*x^6+4*x^5+2*x-1) lgdogf] A367693 7.03142 [(x^18+x^3-1)/(x+1)/(x^18-x^16+x^13-x^10+x^7-x^4+x^3+x-1) ogf] A367700 10.2259 [-12*(120*x^2-25*x+1)/(3*x-1)/(20*x-1)/(8*x-1) ogf] A367701 7.44116 [-8*(264*x^3-10*x^2+13*x-1)/(x-1)/(3*x-1)/(20*x-1)/(8*x-1) ogf] A367702 7.80400 [48*x*(168*x^2-38*x+3)/(x-1)/(3*x-1)/(20*x-1)/(8*x-1) ogf] A367705 9.85499 [(x^5+7*x^4+5*x^3+11*x^2+5*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A367706 8.60430 [-24*x*(288*x^2-21*x-1)/(x-1)/(3*x-1)/(20*x-1)/(8*x-1) ogf] A367707 8.53556 [8*x*(240*x^2+25*x+1)/(x-1)/(3*x-1)/(20*x-1)/(8*x-1) ogf] A367714 7.38884 [-(3*x^9+x^6+x^3-1)/(5*x^10-3*x^9+x^7-x^6+x^4-x^3-2*x+1) ogf] A367720 16.3188 [exp(x^4)*(4*x^4+1) lgdegf] A367723 14.8936 [exp(-x^4)*(-4*x^4+1) lgdegf] A367725 11.3720 [RootOf(-x+(x+1)*_Z-_Z^2+x*_Z^5) ogf] A367734 11.5714 [-(4*x^13-2*x^12-2*x^11-x^2-4*x-1)/(x+1)/(x-1)^2 ogf] A367743 24.6446 [-1-2*exp(2*x) lgdegf] A367744 27.3114 [-1-3*exp(3*x) lgdegf] A367776 10.8667 [6*x*hypergeom([3/2 5/2],[3],16*x) egf] A367776 5.66167 [{(-16*n^3-48*n^2-44*n-12)*a(n)+(n^2+2*n)*a(n+1) a(0) = 0 a(1) = 6} ogf] A367785 26.4670 [-1+3*exp(3*x) lgdegf] A367786 23.2169 [-1+4*exp(4*x) lgdegf] A367794 10.5879 [-(x^16+x^4-1)/(x^17-x^16-x^4-x+1) ogf] A367800 10.0362 [(x-1)*(x+1)*(x^2+1)*(x^4+1)/(x^8+x-1) ogf] A367800 12.3635 [-(-7*x^8-1)/(x^16+x^9-2*x^8-x+1) lgdogf] A367819 28.8575 [-4-exp(x) lgdegf] A367874 14.2961 [exp(x)*x+exp(x)+2 lgdegf] A367875 14.9400 [exp(x)*x+exp(x)+3 lgdegf] A367876 15.4569 [2-exp(x)*(x+1) lgdegf] A367877 15.6775 [3-2*exp(x)*(x+1) lgdegf] A367888 28.1484 [-2+3*exp(x) lgdegf] A367889 24.2474 [2+3*exp(x) lgdegf] A367891 25.1959 [-4+4*exp(x) lgdegf] A367919 26.3842 [-1+4*exp(x) lgdegf] A367920 27.6595 [-2+4*exp(x) lgdegf] A367921 26.8756 [-3+4*exp(x) lgdegf] A367937 26.4221 [3+4*exp(x) lgdegf] A367938 26.0807 [-2+3*exp(3*x) lgdegf] A367939 23.1233 [-2+4*exp(4*x) lgdegf] A367940 22.7488 [-3+4*exp(4*x) lgdegf] A367945 23.1193 [-1+4*exp(2*x) lgdegf] A367946 24.1659 [1+4*exp(2*x) lgdegf] A367965 12.6011 [-x*(x^3+x^2+5*x+1)/(x-1)^3/(x+1)^3 ogf] A367965 9.76939 [-(3*x^4+4*x^3+28*x^2+8*x+5)/(x^5+x^4+4*x^3-5*x-1) lgdogf] A367967 11.8934 [-(27*x^2+6*x-9)/(9*x^3-9*x^2-x+1) lgdogf] A367967 14.5862 [3*x^2*(3*x+1)/(3*x-1)/(x-1)^3 ogf] A367968 12.0324 [-x^2*(28*x^2+31*x+1)/(3*x-1)/(x-1)^4 ogf] A367968 8.33014 [-(252*x^3+400*x^2-134*x-38)/(84*x^4-19*x^3-93*x^2+27*x+1) lgdogf] A367971 16.3901 [-1/(x-1)-exp(-x) lgdegf] A367972 14.1616 [-1/(x-1)+2*exp(2*x) lgdegf] A367973 13.2957 [exp(x)-2/(2*x-1) lgdegf] A367985 10.4173 [-(2*x^3-3*x^2-14)/(x^4-3*x^3+3*x^2-4*x+3) lgdogf] A367985 15.1345 [x^3*(x^3-2*x^2+x-3)/(x-1)^5 ogf] A367993 12.2519 [-2*x^2*(3*x^2+2*x+3)/(x+1)^3/(x-1)^5 ogf] A367993 9.96488 [-(18*x^3+20*x^2+34*x+8)/(3*x^4+2*x^3-2*x-3) lgdogf] A368011 9.48647 [-2*(x-1/2)*(x^4-2*x^3+4*x^2-3*x+1)*x revogf] A368016 18.2738 [exp(x)-2*exp(2*x) lgdegf] A368017 15.9837 [-3*exp(3*x)+exp(x) lgdegf] A368018 15.9470 [-3*exp(3*x)+2*exp(2*x) lgdegf] A368033 13.8606 [(-1+exp(x))*(x-1)^2 revegf] A368046 10.3119 [-(3*x^2+26*x+21)/(x^3+5*x^2-3*x-3) lgdogf] A368046 13.8895 [-x*(x^2+6*x+3)/(x-1)^5 ogf] A368047 8.93394 [x*(x^5+x^4+14*x^3+6*x^2+9*x+1)/(x-1)^4/(x+1)^4 ogf] A368052 12.5561 [-x^4*(2*x^2-3*x+2)/(x^4+1)/(x-1)^3 ogf] A368113 7.26920 [(3*x^7+21*x^6+42*x^5+6*x^4-5*x^3-25*x^2-50*x-7)/(x-1)/(x+1)/(x^2+1) ogf] A368164 11.0333 [-(216*x^2-84*x+7)/(432*x^3-174*x^2+23*x-1) lgdogf] A368164 16.2122 [1/(-8*x+1)^(1/2)*(6*x-1)/(-1+9*x) ogf] A368205 17.3956 [-(3*x^2+4*x-3)/(x^3+2*x^2-3*x+1) lgdogf] A368205 30.0896 [1/(x^3+2*x^2-3*x+1) ogf] A368205 9.94031 [{a(n)+2*a(n+1)-3*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 7} ogf] A368234 7.28178 [-1/8*I*(8*I*x-12*(8*x-1)^(1/2)*x-I+(8*x-1)^(1/2))/x/(-1+9*x) ogf] A368234 7.72760 [-9/4*x^2+1/2*x+1/16-1/16*(1296*x^4-576*x^3+120*x^2-16*x+1)^(1/2) revogf] A368244 12.1379 [-(10*x^9+9*x^8+1)/(x^10+x^9+x-1) lgdogf] A368244 20.2298 [-1/(x^10+x^9+x-1) ogf] A368299 12.7595 [x/(x-1)/(x+1)/(x^3-x^2+2*x-1) ogf] A368299 9.87346 [-(5*x^4-4*x^3+3*x^2-2)/(x^5-x^4+x^3-2*x+1) lgdogf] A368318 8.58368 [x/(x^8+2*x^7+x^6+2*x^5+4*x^4+2*x^3+x^2+2*x+1) revogf] A368344 11.0546 [-(15*x^3-x^2+2*x-4)/(3*x^4-x^3-3*x+1) lgdogf] A368344 13.2292 [-x^3/(3*x-1)/(x^2+x+1)/(x-1)^2 ogf] A368345 11.5858 [-(20*x^3+3*x-5)/(4*x^4-x^3-4*x+1) lgdogf] A368345 12.3455 [-x^3/(4*x-1)/(x^2+x+1)/(x-1)^2 ogf] A368346 11.1660 [-x^4/(2*x-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A368346 9.51181 [-(12*x^4-3*x^3+x^2+x-3)/(2*x^5-x^4-2*x+1) lgdogf] A368430 11.1677 [(x+1)*(x^2+1)/(x-1)/(2*x^3+x^2-1) ogf] A368430 7.02795 [-(2*x^6+4*x^5+6*x^4+8*x^3-6*x^2-4*x-2)/(2*x^7+x^6-x^4-2*x^3-x^2+1) lgdogf] A368475 11.9396 [(x-1)^5/(x^5-4*x^4+10*x^3-10*x^2+5*x-1) ogf] A368475 8.79070 [-(-x^4-4*x^3)/(x^6-5*x^5+14*x^4-20*x^3+15*x^2-6*x+1) lgdogf] A368476 7.20735 [(x^2-x-1)*(6*x^3-2*x^2+4*x+1)/(x-1)/(x+1)/(x^2-x+1) ogf] A368482 7.79172 [-x^6*(2*x^2-x+2)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A368483 6.64893 [-x^7*(2*x^2+3*x+2)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A368484 9.32756 [(x-1)*(6*x^4+3*x^3-4*x^2-x+1)/(2*x-1)/(2*x^2-1)^2 ogf] A368528 10.8509 [-(9*x^2+10*x-7)/(3*x^3-x^2-3*x+1) lgdogf] A368528 14.3940 [x*(x+1)/(3*x-1)/(x-1)^3 ogf] A368529 11.5021 [-(12*x^2+14*x-8)/(4*x^3-x^2-4*x+1) lgdogf] A368529 15.4925 [x*(x+1)/(4*x-1)/(x-1)^3 ogf] A368530 11.9256 [-x*(x^2+4*x+1)/(4*x-1)/(x-1)^4 ogf] A368530 8.55844 [-(12*x^3+66*x^2+6*x-12)/(4*x^4+11*x^3-15*x^2-x+1) lgdogf] A368555 5.91094 [{(3*n+6)*a(n)+(-n-5)*a(n+1)+a(n+2) a(0) = 1 a(1) = 4} ogf] A368574 11.3605 [-(-x^3-6*x^2+2*x+18)/(x^3+5*x^2-6) lgdegf] A368575 7.37342 [-(-x^4-13*x^3-33*x^2+36*x+84)/(x^4+11*x^3+24*x^2-12*x-24) lgdegf] A368585 8.98276 [-(-x^3-8*x^2-14*x-6)/(x^3+7*x^2+12*x+6) lgdegf] A368586 7.38234 [-(-x^4-15*x^3-63*x^2-84*x-36)/(x^4+13*x^3+48*x^2+60*x+24) lgdegf] A368626 9.73057 [-5/9*x^2+7/9*x-1/18+1/18*(-80*x^4-64*x^3+8*x+1)^(1/2) revogf] A368633 12.1211 [-3*x^2+2*x+1/2-1/2*(-4*x^2+4*x+1)^(1/2) revogf] A368634 12.2140 [-2*x^2+3/2*x+1/4-1/4*(-4*x^2+4*x+1)^(1/2) revogf] A368635 14.1877 [-5*x^2+3*x+1-(-4*x^2+4*x+1)^(1/2) revogf] A368656 10.7569 [-(x^5+8*x^3+x^2+7*x+2)/(x-1)/(x+1)/(x^2+1) ogf] A368716 8.84381 [-(-x^3-5*x^2-6*x-3)/(x^3+4*x^2+4*x+1) lgdegf] A368717 7.13316 [-(-x^4-9*x^3-22*x^2-20*x-7)/(x^4+7*x^3+13*x^2+8*x+1) lgdegf] A368718 5.88119 [-(-x^5-14*x^4-59*x^3-95*x^2-66*x-15)/(x^5+11*x^4+35*x^3+40*x^2+16*x+1) lgdegf] A368719 6.19778 [-(-x^5-12*x^4-31*x^3+15*x^2+64*x+17)/(x^5+9*x^4+15*x^3-10*x^2-14*x-1) lgdegf] A368760 7.77746 [-(exp(x)*x^3+3*exp(x)*x^2+x*exp(x)+1)/(x-1) egf] A368762 9.15269 [-1/2*(exp(x)*x^2+2*x*exp(x)+2)/(x-1) egf] A368766 8.52116 [-1/2*(x^2*exp(-x)-2*x*exp(-x)+2)/(x-1) egf] A368773 9.39678 [1/4*((3*x+1)^(1/2)*((x+1)/(3*x-1)*(x-1))^(1/2)+x-1)/x ogf] A368790 5.73390 [{(3*n+1)*a(n)+(-3*n-5)*a(n+1)+a(n+2) a(0) = 1 a(1) = 2} ogf] A368791 5.99219 [{(3*n+2)*a(n)+(-3*n-6)*a(n+1)+a(n+2) a(0) = 1 a(1) = 3} ogf] A368794 6.35847 [{(-2*n-1)*a(n)+(-2*n-2)*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A368809 7.82116 [-(8*x^3-22*x^2+5*x+1)/(16*x-1)/(72*x^4-154*x^3+93*x^2-20*x+1) ogf] A368830 .902398 [(3*x^3-x^2-1)/(5*x^3+x-1) ogf_with_Euler_transform] A368874 12.3385 [-(x^4-2*x^3-3*x^2-x-5)/(x+1)/(x^2+1) ogf_with_Euler_transform] A368875 6.60354 [{(-27*n^2-54*n-24)*a(n)+(n^2+6*n+9)*a(n+1) a(0) = 6} ogf] A368881 12.9061 [-(x^4-5*x^3+7*x^2-3*x+1)/(x-1)^5 ogf] A368881 8.03344 [-(x^4-6*x^3+6*x^2+2*x+2)/(x^5-6*x^4+12*x^3-10*x^2+4*x-1) lgdogf] A368923 12.8864 [-(5*x^5-5*x^4-x^2-2)/(x+1)/(x-1)^2 ogf] A368931 14.0444 [x*(x-1)*(x^3+x-1) revogf] A368932 13.8484 [x*(x-1)*(x^4+x-1) revogf] A368933 15.2282 [x^7-x^6+x^3-2*x^2+x revogf] A368934 12.7636 [-x*(x^2+x-1)*(x-1)^2 revogf] A368935 14.9802 [-x*(x-1)*(x^3-x+1) revogf] A368936 13.9345 [-x*(x-1)*(x^4-x+1) revogf] A368937 14.0568 [-x*(x-1)*(x^5-x+1) revogf] A368938 15.6775 [x*(x^2-x+1)*(x-1)^2 revogf] A368956 10.6039 [2*(6*x^2-6*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A368956 6.47500 [{-6*a(n)+11*a(n+1)-6*a(n+2)+a(n+3) a(0) = -2 a(1) = 0 a(2) = 10} ogf] A368956 7.10365 [-(36*x^4-72*x^3+48*x^2-10*x)/(36*x^5-102*x^4+108*x^3-53*x^2+12*x-1) lgdogf] A368957 9.28039 [-(-x^5-2*x^4+x^3+2*x^2-x)/(x^2-2*x+1) revogf] A368961 20.3807 [x*(x^2+x-1)^2 revogf] A368962 18.9871 [x*(x^3+x-1)^2 revogf] A368963 16.6688 [-x*(x^2+x-1)^3 revogf] A368965 12.7636 [-x*(x-1)*(x^2+x-1)^2 revogf] A368966 13.7313 [-x*(x-1)*(x^3+x-1)^2 revogf] A368967 15.2226 [x*(x-1)^2*(x^2+x-1)^2 revogf] A368968 14.9055 [x*(x-1)^2*(x^3+x-1)^2 revogf] A368969 19.1866 [x*(x^2-x+1)^2 revogf] A368970 20.2968 [x*(x^3-x+1)^2 revogf] A368971 19.8628 [x*(x^2-x+1)^3 revogf] A368974 13.4341 [-x*(x-1)*(x^3-x+1)^2 revogf] A368975 13.9540 [x*(x-1)^2*(x^2-x+1)^2 revogf] A368976 14.9055 [x*(x-1)^2*(x^3-x+1)^2 revogf] A369011 9.32449 [-(-x^7-2*x^5+2*x^4-x^3+2*x^2-x)/(x^2-2*x+1) revogf] A369012 8.89632 [-(-8*x^4+12*x^3-6*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A369013 9.22050 [-(-x^7-3*x^6+5*x^4-3*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A369014 6.80928 [-(-x^10-3*x^8+3*x^7-3*x^6+6*x^5-4*x^4+3*x^3-3*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A369023 11.4918 [-(-8*x^4+12*x^3-6*x^2+x)/(x-1) revogf] A369024 9.70421 [-(16*x^5-32*x^4+24*x^3-8*x^2+x)/(x-1) revogf] A369076 6.95841 [RootOf(-1+(2*x+1)*_Z+(-x^2-2*x)*_Z^2+3*x^2*_Z^3-2*x^3*_Z^4+x^4*_Z^5) ogf] A369076 9.97984 [-(-x^5+2*x^4-3*x^3+2*x^2-x)/(x^2-2*x+1) revogf] A369077 8.49931 [-(-x^7+2*x^5-2*x^4-x^3+2*x^2-x)/(x^2-2*x+1) revogf] A369078 7.02014 [-(x^7-3*x^6+6*x^5-7*x^4+6*x^3-3*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A369081 6.39838 [-(x^10-3*x^8+3*x^7+3*x^6-6*x^5+2*x^4+3*x^3-3*x^2+x)/(x^3-3*x^2+3*x-1) revogf] A369082 11.3118 [-1/2*x^2+3/4*x-1/8+1/8*(-4*x^2+4*x+1)^(1/2) revogf] A369083 11.6164 [-3/2*x^2+5/4*x+1/8-1/8*(-4*x^2+4*x+1)^(1/2) revogf] A369102 17.8866 [-4*x^4+6*x^3-4*x^2+x revogf] A369113 9.17984 [-(x^4+x-1)/(x+1)/(x^2+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A369114 17.7735 [-2*x^4+3*x^3-3*x^2+x revogf] A369124 14.9055 [2*x^5-4*x^4+6*x^3-4*x^2+x revogf] A369125 13.6605 [5*x^5-10*x^4+10*x^3-5*x^2+x revogf] A369126 13.8502 [x/(2*x^4+4*x^3+6*x^2+4*x+1) revogf] A369128 11.5397 [x/(2*x^5+5*x^4+10*x^3+10*x^2+5*x+1) revogf] A369153 13.6255 [-(728*x+1598)/(728*x^2-293*x-435) lgdogf] A369153 21.7272 [(728*x+435)/(x-1)^2 ogf] A369153 8.28769 [{(-1163*n-1598)*a(n)+(1163*n+435)*a(n+1) a(0) = 435} ogf] A369156 16.2982 [x/(4*x^3+6*x^2+4*x+1) revogf] A369157 13.2493 [x/(5*x^4+10*x^3+10*x^2+5*x+1) revogf] A369158 17.3032 [x/(x^4+x^2+2*x+1) revogf] A369159 13.2052 [x/(x^4+x^3+3*x^2+3*x+1) revogf] A369161 14.6824 [-x^5-x^4+3*x^3-3*x^2+x revogf] A369162 16.8184 [(x^36-x^35-1)/(x-1) ogf] A369162 8.49963 [-(-35*x^36+70*x^35-35*x^34-1)/(x^37-2*x^36+x^35-x+1) lgdogf] A369190 10.2055 [x/(x^6+2*x^5-x^4-4*x^3-x^2+2*x+1) revogf] A369208 12.4300 [-(-x^3+2*x^2-x)/(x^2+1) revogf] A369212 17.8275 [x/(x^3+x^2+2*x+1) revogf] A369213 12.7636 [x/(x^4+4*x^3+7*x^2+4*x+1) revogf] A369214 14.1750 [-x*(x^3-x^2+2*x-1) revogf] A369215 15.4763 [-x*(x^3-3*x^2+4*x-1) revogf] A369216 13.2500 [x^5-4*x^4+6*x^3-5*x^2+x revogf] A369226 13.9051 [-(x^2-x)/(x^4+2*x^2+1) revogf] A369229 8.85192 [-(x^4-3*x^3+3*x^2-x)/(x^4-2*x^3+3*x^2-2*x+1) revogf] A369230 7.54747 [-(x^4-3*x^3+3*x^2-x)/(x^6-3*x^5+6*x^4-7*x^3+6*x^2-3*x+1) revogf] A369231 8.49037 [-(x^4-3*x^3+3*x^2-x)/(x^6-2*x^4+2*x^3+x^2-2*x+1) revogf] A369232 6.86798 [-(x^4-3*x^3+3*x^2-x)/(x^9-3*x^7+3*x^6+3*x^5-6*x^4+2*x^3+3*x^2-3*x+1) revogf] A369262 11.8193 [-(x^2-x)/(x^6+3*x^4+3*x^2+1) revogf] A369263 10.3210 [-(-x^3+2*x^2-x)/(x^6+3*x^4+3*x^2+1) revogf] A369264 8.29631 [-(x^4-3*x^3+3*x^2-x)/(x^6+3*x^4+3*x^2+1) revogf] A369265 13.2230 [-(-x^3+2*x^2-x)/(x^3+1) revogf] A369266 13.6542 [-(x^2-x)/(x^6+2*x^3+1) revogf] A369267 10.6313 [-(-x^3+2*x^2-x)/(x^6+2*x^3+1) revogf] A369268 12.3079 [-(x^2-x)/(x^9+3*x^6+3*x^3+1) revogf] A369269 9.49357 [-(-x^3+2*x^2-x)/(x^9+3*x^6+3*x^3+1) revogf] A369270 8.92538 [-(x^4-3*x^3+3*x^2-x)/(x^9+3*x^6+3*x^3+1) revogf] A369296 14.7045 [-x*(x^2+x+1)^2*(x-1)^3 revogf] A369297 14.2401 [-x*(x^2+x+1)*(x-1)^3 revogf] A369299 16.6165 [x*(x^2+x+1)^3*(x-1)^4 revogf] A369304 13.8262 [(x^2+x+1)*(x^2-3)/(x+1)^2/(x-1)^3 ogf] A369304 8.36849 [-(x^5+3*x^4-x^3-11*x^2-22*x-6)/(x^6+x^5-3*x^4-4*x^3-x^2+3*x+3) lgdogf] A369316 6.84359 [-I*(2*I*x^2+I*x-((2*x+1)*(2*x-1))^(1/2)*x-I)/(4*x^3+4*x^2-1) ogf] A369328 12.8378 [-(2*x-1)*(x-1)/(5*x^3-8*x^2+5*x-1) ogf] A369328 7.45052 [{-5*a(n)+8*a(n+1)-5*a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 4} ogf] A369328 8.02365 [-(10*x^4-30*x^3+29*x^2-12*x+2)/(10*x^5-31*x^4+39*x^3-25*x^2+8*x-1) lgdogf] A369340 11.7758 [-(3*x^20-4*x^16+x^4-1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A369341 7.21260 [-(12*x^11+8*x^10+17*x^9-x^8-x^7-x^6-x^5-x^4-x^3+1)/(x^3+x-1) ogf] A369347 12.1185 [(90*x^19-100*x^18+99*x^10+x^9+11)/(x-1)^2 ogf] A369398 14.5361 [-(x^4-x)/(x^2+2*x+1) revogf] A369399 13.9055 [-(-x^7+2*x^4-x)/(x+1) revogf] A369400 12.0172 [-(-x^7+2*x^4-x)/(x^2+2*x+1) revogf] A369401 11.6165 [-(x^10-3*x^7+3*x^4-x)/(x+1) revogf] A369402 10.7762 [-(x^10-3*x^7+3*x^4-x)/(x^2+2*x+1) revogf] A369403 9.40647 [-(x^10-3*x^7+3*x^4-x)/(x^3+3*x^2+3*x+1) revogf] A369404 11.6722 [-(14*x^2-32*x-1)/(14*x^3-9*x^2-15*x+8) lgdogf] A369404 17.6379 [(7*x-8)/(x+1)/(2*x-1) ogf] A369404 9.67935 [{-2*a(n)-a(n+1)+a(n+2) a(0) = 8 a(1) = 1} ogf] A369405 14.0623 [100/(1000*x-1)/(100*x-1) ogf] A369405 6.37878 [{100000*a(n)-1100*a(n+1)+a(n+2) a(0) = 100 a(1) = 110000} ogf] A369405 9.66786 [-(200000*x-1100)/(100000*x^2-1100*x+1) lgdogf] A369416 14.6994 [-(36*x-15)/(6*x^2-5*x+1) lgdogf] A369416 19.8640 [x^4/(3*x-1)^3/(2*x-1)^3 ogf] A369418 16.5277 [-(30*x-13)/(6*x^2-5*x+1) lgdogf] A369418 20.1557 [-x^3/(2*x-1)^2/(3*x-1)^3 ogf] A369421 15.9946 [-(30*x-12)/(6*x^2-5*x+1) lgdogf] A369421 19.5055 [-x^3/(3*x-1)^2/(2*x-1)^3 ogf] A369423 11.1267 [2*x*(4*x^4-55*x^3-207*x^2-97*x-5)/(x-1)^7 ogf] A369423 6.85486 [-(12*x^4-204*x^3-1200*x^2-996*x-132)/(4*x^5-59*x^4-152*x^3+110*x^2+92*x+5) lgdogf] A369431 3.48736 [-(-9*x^4+22*x^3-17*x^2+6*x-1)/(4*x^6-23*x^5+49*x^4-53*x^3+31*x^2-9*x+1) lgdogf] A369431 5.55956 [(x-1)*(x^2-3*x+1)/(4*x^3-7*x^2+5*x-1) ogf] A369432 7.83124 [-1/2*(-2*x^2+(4*x^4-8*x^3+5*x^2-2*x+1)^(1/2)-3*x-1)/(5*x^2+2*x+2) revogf] A369436 7.16166 [-1/2*(6*x^2+(-(4*x-1)*(x-1)^2)^(1/2)-5*x+1)/(9*x^3-14*x^2+7*x-1) ogf] A369439 14.1136 [x/(x^4+2*x^3+2*x^2+2*x+1) revogf] A369440 12.7988 [x/(x^5+x^4+2*x^3+2*x^2+x+1) revogf] A369441 10.6558 [x/(x^6+2*x^5+3*x^4+4*x^3+3*x^2+2*x+1) revogf] A369442 12.8519 [x/(x^7+x^6+2*x^4+2*x^3+x+1) revogf] A369443 12.5980 [x/(x^5+2*x^4+x^3+x^2+2*x+1) revogf] A369444 17.8801 [x/(x^5+x^4+x+1) revogf] A369477 12.4374 [x/(x^5+3*x^4+5*x^3+5*x^2+3*x+1) revogf] A369478 9.70716 [x/(x^6+4*x^5+8*x^4+10*x^3+8*x^2+4*x+1) revogf] A369479 8.93840 [x/(x^7+4*x^6+9*x^5+13*x^4+13*x^3+9*x^2+4*x+1) revogf] A369480 8.34678 [x/(x^8+5*x^7+13*x^6+22*x^5+26*x^4+22*x^3+13*x^2+5*x+1) revogf] A369481 14.2229 [x/(x^4+x^3+x^2+2*x+1) revogf] A369482 11.6536 [x/(x^5+2*x^4+2*x^3+3*x^2+3*x+1) revogf] A369483 12.8152 [x/(x^6+2*x^4+2*x^3+x^2+2*x+1) revogf] A369484 9.36521 [x/(x^7+x^6+2*x^5+4*x^4+3*x^3+3*x^2+3*x+1) revogf] A369485 7.93750 [x/(x^8+2*x^7+3*x^6+6*x^5+7*x^4+6*x^3+6*x^2+4*x+1) revogf] A369486 11.1241 [-(x^5+2*x^4-x^3-2*x^2+x)/(x-1) revogf] A369487 10.0459 [-(-x^7-3*x^6+5*x^4-3*x^2+x)/(x-1) revogf] A369488 9.57596 [-(x^7+3*x^6-5*x^4+3*x^2-x)/(x^2-2*x+1) revogf] A369489 10.4513 [-(x^7+2*x^5-2*x^4+x^3-2*x^2+x)/(x-1) revogf] A369490 13.7491 [-(18*x-1)/(2*x+1)/(3*x-1) ogf] A369490 8.28263 [{-6*a(n)-a(n+1)+a(n+2) a(0) = -1 a(1) = 17} ogf] A369490 9.54804 [-(108*x^2-12*x+17)/(108*x^3+12*x^2-19*x+1) lgdogf] A369491 13.1821 [(x+1)*(2*x^2-2*x+1)/(2*x-1)/(x-1) ogf] A369491 9.62740 [-(-4*x^4+12*x^3-8*x^2+4*x-2)/(4*x^5-6*x^4+5*x^2-4*x+1) lgdogf] A369502 13.9588 [x/(x^4+6*x^3+11*x^2+6*x+1) revogf] A369503 12.8807 [x/(4*x^4+8*x^3+8*x^2+4*x+1) revogf] A369504 9.71560 [x/(x^6+2*x^5+5*x^4+6*x^3+6*x^2+4*x+1) revogf] A369505 9.37244 [x/(x^6+6*x^5+17*x^4+26*x^3+22*x^2+8*x+1) revogf] A369506 9.83106 [x/(x^6+8*x^5+22*x^4+26*x^3+17*x^2+6*x+1) revogf] A369507 9.56969 [x/(4*x^6+12*x^5+21*x^4+22*x^3+15*x^2+6*x+1) revogf] A369509 18.4028 [x*(x^2-3*x+1)^2 revogf] A369510 26.2046 [x*(2*x-1)^2 revogf] A369510 7.12359 [{(-27*n^2-54*n-24)*a(n)+(2*n^2+7*n+6)*a(n+1) a(0) = 1} ogf] A369511 16.2605 [x*(x^3-x^2+2*x-1)^2 revogf] A369512 14.5175 [x*(x^3-3*x^2+4*x-1)^2 revogf] A369513 14.7891 [x*(x^3-2*x^2+3*x-1)^2 revogf] A369514 15.1035 [x*(2*x-1)^2*(x^2-x+1)^2 revogf] A369525 13.6288 [-(-x^2-x)/(x^4+x^2+2*x+1) revogf] A369562 7.32408 [-7*(3*x^4+x^3-3*x^2+9*x-1)/(x-1)/(10*x-1)/(x+1)/(x^2-x+1) ogf] A369568 7.93505 [-(x^8-x^7-2*x^6+x^5+3*x^4-3*x^2+x+3)/(x^4+1)/(x+1)^2/(x-1)^3 ogf] A369580 8.86551 [(-27/2*x+19/2-3/2*(9*x^2-10*x+1)^(1/2))/(9*x-1)/(x-1) lgdogf] A369580 9.06474 [1/2*(-3*x+3+((-1+9*x)*(x-1))^(1/2))/(x-1)/(-1+9*x) ogf] A369581 10.6427 [-(-x^3-2*x^2-x)/(x^4+x^3+3*x^2+3*x+1) revogf] A369592 10.0116 [-(-x^4-3*x^3-3*x^2-x)/(2*x^4+4*x^3+6*x^2+4*x+1) revogf] A369599 10.5560 [-(x^6+2*x^5+x^4-x)/(x^2+2*x+1) revogf] A369600 8.47329 [-(x^7+3*x^6+3*x^5+x^4-x)/(x^3+3*x^2+3*x+1) revogf] A369611 7.13665 [-(x^3+x^2-1)/(x+1)/(x^2+x+1)/(x^4+x^3+x^2+x+1)/(x-1)^3 ogf] A369616 10.5592 [-(-x^3+2*x^2-x)/(x^3-2*x^2+x+1) revogf] A369617 7.93750 [-(-x^4+3*x^3-3*x^2+x)/(x^4-3*x^3+3*x^2-x-1) revogf] A369618 13.3011 [-(-x^2+x)/(x^3-x^2-1) revogf] A369619 9.45001 [-(-x^3+2*x^2-x)/(x^4-2*x^3+x^2+1) revogf] A369620 8.11398 [-(-x^4+3*x^3-3*x^2+x)/(x^5-3*x^4+3*x^3-x^2-1) revogf] A369621 12.7125 [-(-x^2+x)/(x^4-x^3-1) revogf] A369622 10.2845 [-(-x^3+2*x^2-x)/(x^5-2*x^4+x^3+1) revogf] A369623 8.04373 [-(-x^4+3*x^3-3*x^2+x)/(x^6-3*x^5+3*x^4-x^3-1) revogf] A369626 3.58819 [-(-10*x^4+26*x^3-21*x^2+7*x-1)/(4*x^6-26*x^5+62*x^4-69*x^3+38*x^2-10*x+1) lgdogf] A369626 5.50516 [(x^2-3*x+1)^2/(x-1)/(2*x-1)/(2*x^2-4*x+1) ogf] A369630 13.3011 [-(x^5+x^2-x)/(x^3+1) revogf] A369631 12.8891 [-(x^6+x^2-x)/(x^4+1) revogf] A369694 13.8272 [-x*(x^3-2*x^2+3*x-1) revogf] A369722 18.9681 [3/(1-4*x)^(1/2) lgdegf] A369722 6.19365 [{-9*a(n)+(-4*n-2)*a(n+1)+a(n+2) a(0) = 1 a(1) = 3} ogf] A369723 19.3293 [4/(1-4*x)^(1/2) lgdegf] A369723 5.28666 [(cosh(2)+sinh(2))*(I*sin(2*(4*x-1)^(1/2))+cos(2*(4*x-1)^(1/2))) egf] A369723 6.24787 [{-16*a(n)+(-4*n-2)*a(n+1)+a(n+2) a(0) = 1 a(1) = 4} ogf] A369724 19.6907 [5/(1-4*x)^(1/2) lgdegf] A369724 6.36465 [{-25*a(n)+(-4*n-2)*a(n+1)+a(n+2) a(0) = 1 a(1) = 5} ogf] A369737 7.87537 [{a(n)+(-4*n-4)*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A369746 20.8765 [3/(1-2*x)^(1/2) lgdegf] A369746 5.70981 [(cosh(3)+sinh(3))*(I*sin(3*(2*x-1)^(1/2))+cos(3*(2*x-1)^(1/2))) egf] A369746 6.81681 [{-9*a(n)+(-2*n-1)*a(n+1)+a(n+2) a(0) = 1 a(1) = 3} ogf] A369751 14.3976 [exp(1)*exp(-(x+1)^3) egf] A369751 25.1959 [-3*(x+1)^2 lgdegf] A369752 13.4828 [exp(1)*exp(-(x+1)^4) egf] A369752 23.5950 [-4*(x+1)^3 lgdegf] A369753 13.0222 [exp(1)*exp(-(x+1)^5) egf] A369753 22.7889 [-5*(x+1)^4 lgdegf] A369755 12.7122 [exp(1/4)*exp(-1/4*(x+1)^4) egf] A369755 25.8784 [-(x+1)^3 lgdegf] A369756 11.3338 [exp(1/5)*exp(-1/5*(x+1)^5) egf] A369756 23.0724 [-(x+1)^4 lgdegf] A369794 10.0578 [(x-1)^6/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf] A369794 7.64400 [-(x^5+5*x^4)/(x^7-8*x^6+22*x^5-35*x^4+35*x^3-21*x^2+7*x-1) lgdogf] A369801 10.3265 [-(x^7-2*x^4-2*x^3-2*x^2-2*x-1)/(x+1)/(x-1)^2 ogf] A369803 11.8526 [(x-1)^5/(x^5-5*x^4+10*x^3-9*x^2+5*x-1) ogf] A369803 8.99168 [-(-3*x^2-2*x)/(x^6-6*x^5+15*x^4-19*x^3+14*x^2-6*x+1) lgdogf] A369804 12.0029 [(x-1)^5/(x^5-5*x^4+11*x^3-10*x^2+5*x-1) ogf] A369804 8.83733 [-(-2*x^3-3*x^2)/(x^6-6*x^5+16*x^4-21*x^3+15*x^2-6*x+1) lgdogf] A369805 7.20390 [-(-5*x^2-2*x)/(x^8-8*x^7+28*x^6-56*x^5+70*x^4-55*x^3+27*x^2-8*x+1) lgdogf] A369805 8.89894 [(x-1)^7/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-20*x^2+7*x-1) ogf] A369806 7.30905 [-(-4*x^3-3*x^2)/(x^8-8*x^7+28*x^6-56*x^5+71*x^4-57*x^3+28*x^2-8*x+1) lgdogf] A369806 9.37276 [(x-1)^7/(x^7-7*x^6+21*x^5-35*x^4+36*x^3-21*x^2+7*x-1) ogf] A369807 6.86789 [-(-3*x^4-4*x^3)/(x^8-8*x^7+28*x^6-55*x^5+69*x^4-56*x^3+28*x^2-8*x+1) lgdogf] A369807 8.80704 [(x-1)^7/(x^7-7*x^6+21*x^5-34*x^4+35*x^3-21*x^2+7*x-1) ogf] A369808 7.46950 [-(-2*x^5-5*x^4)/(x^8-8*x^7+29*x^6-57*x^5+70*x^4-56*x^3+28*x^2-8*x+1) lgdogf] A369808 9.35832 [(x-1)^7/(x^2-x+1)/(x^5-6*x^4+15*x^3-14*x^2+6*x-1) ogf] A369809 7.26567 [-(-x^6-6*x^5)/(x^8-7*x^7+27*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1) lgdogf] A369809 9.31714 [(x-1)^7/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A369810 12.2457 [-1/2*(x^3+3*x^2+6*x+2)/(x-1)^5 egf] A369810 8.40970 [-(2*x^3+12*x^2+30*x+16)/(x^4+2*x^3+3*x^2-4*x-2) lgdegf] A369813 18.5357 [-(7*x^6+2*x)/(x^7+x^2-1) lgdogf] A369813 28.0540 [-1/(x^7+x^2-1) ogf] A369814 16.4652 [-(7*x^6+3*x^2)/(x^7+x^3-1) lgdogf] A369814 26.7002 [-1/(x^7+x^3-1) ogf] A369815 16.4568 [-(7*x^6+4*x^3)/(x^7+x^4-1) lgdogf] A369815 26.6866 [-1/(x^7+x^4-1) ogf] A369816 13.8049 [-1/(x^2-x+1)/(x^5+x^4+x^3-x-1) ogf] A369816 15.8757 [-(7*x^6+5*x^4)/(x^7+x^5-1) lgdogf] A369817 11.4723 [-(x^6-x^5-5*x^4+x^3-8*x^2-8*x-4)/(x+1)^3/(x-1)^4 ogf] A369836 10.3991 [-(x-1)^4/(x^2-x+1)/(x^3-4*x^2+5*x-1) ogf] A369836 6.48835 [-(x^5-5*x^4+10*x^3-10*x^2+2*x-2)/(x^6-6*x^5+15*x^4-20*x^3+16*x^2-7*x+1) lgdogf] A369837 10.5429 [(x-1)/(x^2-x+1)/(x^3-4*x^2+5*x-1) ogf] A369837 6.11317 [-(4*x^5-20*x^4+40*x^3-40*x^2+20*x-5)/(x^6-6*x^5+15*x^4-20*x^3+16*x^2-7*x+1) lgdogf] A369838 10.7115 [-(x-1)^2/(x^2-x+1)/(x^3-4*x^2+5*x-1) ogf] A369838 6.57096 [-(3*x^5-15*x^4+30*x^3-30*x^2+14*x-4)/(x^6-6*x^5+15*x^4-20*x^3+16*x^2-7*x+1) lgdogf] A369839 11.1908 [(x-1)^3/(x^2-x+1)/(x^3-4*x^2+5*x-1) ogf] A369839 6.54381 [-(2*x^5-10*x^4+20*x^3-20*x^2+8*x-3)/(x^6-6*x^5+15*x^4-20*x^3+16*x^2-7*x+1) lgdogf] A369840 11.4183 [-(x-1)^4/(x^5-5*x^4+10*x^3-9*x^2+5*x-1) ogf] A369840 6.83147 [-(x^5-5*x^4+10*x^3-12*x^2+3*x-1)/(x^6-6*x^5+15*x^4-19*x^3+14*x^2-6*x+1) lgdogf] A369842 11.1120 [-(x-1)^2/(x^5-5*x^4+10*x^3-9*x^2+5*x-1) ogf] A369842 6.53652 [-(3*x^5-15*x^4+30*x^3-30*x^2+13*x-3)/(x^6-6*x^5+15*x^4-19*x^3+14*x^2-6*x+1) lgdogf] A369843 11.5304 [(x-1)^3/(x^5-5*x^4+10*x^3-9*x^2+5*x-1) ogf] A369843 6.44924 [-(2*x^5-10*x^4+20*x^3-21*x^2+8*x-2)/(x^6-6*x^5+15*x^4-19*x^3+14*x^2-6*x+1) lgdogf] A369844 11.5154 [x*(x-1)/(x^5-5*x^4+10*x^3-9*x^2+5*x-1) ogf] A369844 6.77382 [-(4*x^5-20*x^4+40*x^3-39*x^2+18*x-4)/(x^6-6*x^5+15*x^4-19*x^3+14*x^2-6*x+1) lgdogf] A369845 10.9829 [-(x-1)^4/(x^5-5*x^4+11*x^3-10*x^2+5*x-1) ogf] A369845 6.72234 [-(x^5-5*x^4+9*x^3-13*x^2+5*x-1)/(x^6-6*x^5+16*x^4-21*x^3+15*x^2-6*x+1) lgdogf] A369846 10.6888 [x*(x-1)/(x^5-5*x^4+11*x^3-10*x^2+5*x-1) ogf] A369846 6.37741 [-(4*x^5-20*x^4+42*x^3-43*x^2+20*x-4)/(x^6-6*x^5+16*x^4-21*x^3+15*x^2-6*x+1) lgdogf] A369847 11.2245 [(x-1)^3/(x^5-5*x^4+11*x^3-10*x^2+5*x-1) ogf] A369847 6.31970 [-(2*x^5-10*x^4+20*x^3-23*x^2+10*x-2)/(x^6-6*x^5+16*x^4-21*x^3+15*x^2-6*x+1) lgdogf] A369848 10.4896 [-x*(x-1)^2/(x^5-5*x^4+11*x^3-10*x^2+5*x-1) ogf] A369848 6.61112 [-(3*x^5-15*x^4+31*x^3-33*x^2+15*x-3)/(x^6-6*x^5+16*x^4-21*x^3+15*x^2-6*x+1) lgdogf] A369849 12.2106 [(x-1)^3/(x^5-4*x^4+10*x^3-10*x^2+5*x-1) ogf] A369849 6.93319 [-(2*x^5-9*x^4+16*x^3-20*x^2+10*x-2)/(x^6-5*x^5+14*x^4-20*x^3+15*x^2-6*x+1) lgdogf] A369850 10.6260 [-x*(x-1)^2/(x^5-4*x^4+10*x^3-10*x^2+5*x-1) ogf] A369850 6.69712 [-(3*x^5-13*x^4+26*x^3-30*x^2+15*x-3)/(x^6-5*x^5+14*x^4-20*x^3+15*x^2-6*x+1) lgdogf] A369851 11.1750 [x^2*(x-1)/(x^5-4*x^4+10*x^3-10*x^2+5*x-1) ogf] A369851 6.66749 [-(4*x^5-17*x^4+36*x^3-40*x^2+20*x-4)/(x^6-5*x^5+14*x^4-20*x^3+15*x^2-6*x+1) lgdogf] A369906 6.34471 [1/2*(-12*x^2+(-(4*x-1)*(2*x-1)^4)^(1/2)+6*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A369922 16.2236 [(3*x^3+41*x^2+5*x-1)/(x-1)^4 ogf] A369922 7.37437 [{(-8*n^3-24*n^2-18*n-1)*a(n)+(8*n^3-6*n-1)*a(n+1) a(0) = -1} ogf] A369922 9.65694 [-(3*x^3+91*x^2+97*x+1)/(3*x^4+38*x^3-36*x^2-6*x+1) lgdogf] A369930 7.18594 [RootOf(-x^4+(4*x^4+x^3)*_Z-8*x^3*_Z^2+8*x^2*_Z^3-4*x*_Z^4+_Z^5) revogf] A369939 11.4446 [(x^30+x^16-1)/(x^31+x^15-1)/(x-1)^2 ogf] A369941 11.7525 [-1/2*x*(-2+3*x)/(1-2*x)^(3/2) lgdegf] A369982 10.7015 [-(-(2*x+1)*(2*x-1))^(1/2)/(2*x+1)/(3*x-1) ogf] A369982 11.8366 [-(12*x^2-6*x-1)/(12*x^3-4*x^2-3*x+1) lgdogf] A370007 2.46224 [-x*(x^8-x^7+x^5+2*x^2+3*x-7)/(x-1)^2 ogf] A370051 7.97054 [(x^3-6*x^2+5*x-1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A370054 5.98357 [{(-27*n^3-81*n^2-78*n-24)*a(n)+(4*n^2+14*n+12)*a(n+1) a(0) = 1} ogf] A370055 5.98007 [{(-27*n^3-108*n^2-141*n-60)*a(n)+(4*n^2+18*n+20)*a(n+1) a(0) = 1} ogf] A370056 5.35691 [{(-256*n^3-640*n^2-496*n-120)*a(n)+(27*n^2+81*n+60)*a(n+1) a(0) = 1} ogf] A370056 7.32726 [-1/4*x^2+5/8*x+1/32-1/32*(-512*x^3+192*x^2-24*x+1)^(1/2) revegf] A370074 7.96012 [(2*x-1)*(2*x^2-4*x+1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A370106 5.77311 [RootOf(-1-15*_Z+(32*x-80)*_Z^2+(180*x-160)*_Z^3+(3456*x^2-837*x+256)*_Z^5) ogf] A370107 12.5712 [x/(x^5+x^4-2*x^3-2*x^2+x+1) revogf] A370109 10.3014 [-(14*x^3-24*x^2-90*x+20)/(7*x^4-22*x^3+22*x-7) lgdogf] A370109 13.8535 [3*(x+1)*(7*x^2-22*x+7)/(x-1)^5 ogf] A370145 12.5748 [-(-8*x^2-4*x+1)/(8*x^3+6*x^2-3*x-1) lgdogf] A370145 14.1190 [(-(4*x+1)*(2*x-1)*(x+1))^(1/3) ogf] A370147 10.1163 [-(-343*x^2-266*x-19)/(343*x^3+399*x^2+57*x+1) lgdogf] A370147 13.8630 [((49*x+1)*(7*x+1)*(x+1))^(1/3) ogf] A370149 11.5986 [(-(121*x+1)*(11*x-1)*(x+1))^(1/3) ogf] A370149 8.92205 [-(-1331*x^2-814*x+37)/(1331*x^3+1221*x^2-111*x-1) lgdogf] A370175 11.0948 [-(x^2+x-1)/(x-1)/(5*x^2+5*x-1) ogf] A370175 7.35881 [-(5*x^4+10*x^3-9*x^2-2*x+5)/(5*x^5+5*x^4-11*x^3-5*x^2+7*x-1) lgdogf] A370175 7.59119 [{5*a(n)-6*a(n+2)+a(n+3) a(0) = 1 a(1) = 5 a(2) = 29} ogf] A370176 11.9631 [-(x^2+x-1)/(x-1)/(6*x^2+6*x-1) ogf] A370176 7.85457 [-(6*x^4+12*x^3-11*x^2-2*x+6)/(6*x^5+6*x^4-13*x^3-6*x^2+8*x-1) lgdogf] A370176 8.18529 [{6*a(n)-7*a(n+2)+a(n+3) a(0) = 1 a(1) = 6 a(2) = 41} ogf] A370177 11.5081 [-(x^2+x-1)/(x-1)/(7*x^2+7*x-1) ogf] A370177 7.55588 [-(7*x^4+14*x^3-13*x^2-2*x+7)/(7*x^5+7*x^4-15*x^3-7*x^2+9*x-1) lgdogf] A370177 7.87402 [{7*a(n)-8*a(n+2)+a(n+3) a(0) = 1 a(1) = 7 a(2) = 55} ogf] A370178 10.9134 [-(x^2+x-1)/(x-1)/(8*x^2+8*x-1) ogf] A370178 7.09373 [-(8*x^4+16*x^3-15*x^2-2*x+8)/(8*x^5+8*x^4-17*x^3-8*x^2+10*x-1) lgdogf] A370178 7.46709 [{8*a(n)-9*a(n+2)+a(n+3) a(0) = 1 a(1) = 8 a(2) = 71} ogf] A370179 11.0071 [-(x^2+x-1)/(x-1)/(9*x^2+9*x-1) ogf] A370179 7.15462 [-(9*x^4+18*x^3-17*x^2-2*x+9)/(9*x^5+9*x^4-19*x^3-9*x^2+11*x-1) lgdogf] A370179 7.45273 [{9*a(n)-10*a(n+2)+a(n+3) a(0) = 1 a(1) = 9 a(2) = 89} ogf] A370188 15.2612 [-(2*x-52)/(x^2-52*x+1) lgdogf] A370188 22.4428 [x/(x^2-52*x+1) ogf] A370188 9.30558 [{a(n)-52*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A370191 11.7575 [-(80*x^2-40*x+4)/(80*x^3-52*x^2+12*x-1) lgdogf] A370191 17.6362 [-(4*x-1)/(20*x^2-8*x+1) ogf] A370191 9.77428 [{20*a(n)-8*a(n+1)+a(n+2) a(0) = 1 a(1) = 4} ogf] A370192 16.1602 [-(40*x-8)/(20*x^2-8*x+1) lgdogf] A370192 21.2633 [-2*x/(20*x^2-8*x+1) ogf] A370192 9.85375 [{20*a(n)-8*a(n+1)+a(n+2) a(0) = 0 a(1) = -2} ogf] A370238 15.9344 [-(20*x-29)/(10*x^2-23*x+13) lgdogf] A370238 21.6544 [x*(10*x-13)/(x-1)^3 ogf] A370238 7.60833 [{(-3*n^2-29*n-26)*a(n)+(3*n^2+23*n)*a(n+1) a(0) = 0 a(1) = 13} ogf] A370253 12.7869 [-I*(exp(-x)-1)/(-1+2*x)^(1/2) egf] A370288 11.7525 [1/2*(-1+LegendreP(-1/3,1-54*x))/x lgdogf] A370289 11.6603 [1/3*(-1+LegendreP(-1/3,1-54*x))/x lgdogf] A370291 13.0673 [-x*(5*x^22+4*x^8+3*x^3+2*x+1)/(x-1) ogf] A370299 11.1783 [-9*x^2*(45*x+19)/(x-1)/(3*x-1)/(9*x-1) ogf] A370299 7.41537 [-(2430*x^3-216*x^2-1482*x+292)/(1215*x^4-1242*x^3-156*x^2+202*x-19) lgdogf] A370304 13.1226 [-(x^3+x^2-x+1)/(x^2+x-1)^3 ogf] A370304 8.33838 [-(3*x^4+4*x^3-x^2+6*x+2)/(x^5+2*x^4-x^3-x^2+2*x-1) lgdogf] A370306 8.37266 [-(x^8+2*x^7+3*x^6-3*x^4-4*x^3-x^2+2*x-1)/(x^3+x^2+x-1)^4 ogf] A370307 13.1060 [(x^4-x^3-x^2+x+1)/(x+1)/(x-1)^4 ogf] A370307 8.07429 [-(x^5+x^4-2*x^3-2*x^2+6*x+4)/(x^6-x^5-2*x^4+2*x^3+2*x^2-x-1) lgdogf] A370321 6.41222 [2*x*((x^2+x+1)*ln(x^2+x+1)+x^2+1/2*x)/(x^2+x+1) lgdegf] A370326 23.2795 [2/(1-4*x)^(3/2) lgdegf] A370326 6.47776 [I*(-I*cos(1/(4*x-1)^(1/2))+sin(1/(4*x-1)^(1/2)))/(sinh(1)+cosh(1)) egf] A370327 11.4281 [3*hypergeom([4/3 5/3],[3/2],27/4*x) lgdegf] A370349 13.9638 [-(3*x^3+9*x^2+6*x+6)/(x^4+x^3-x-1) lgdogf] A370349 18.9696 [(x+1)^3/(x^2+x+1)/(x-1)^4 ogf] A370360 25.7219 [-2/(x-1) lgdegf] A370360 34.2958 [1/(x-1)^2 egf] A370377 12.2833 [-(x^5-3*x-1)/(x^6-x^4-2*x^2+1) ogf] A370391 10.6506 [(-1+2*x)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A370462 14.4518 [-1+exp(x*(x-1)^2) revegf] A370463 14.4519 [-1+exp(-x*(x-1)^3) revegf] A370471 6.49297 [RootOf(-1+(x^2+1)*_Z+x^2*_Z^2+(x^2-2*x)*_Z^3+x^2*_Z^4+x^2*_Z^5) ogf] A370472 7.33770 [RootOf(1+(x-1)*_Z-x*_Z^2+x*_Z^3-x*_Z^4+x*_Z^5) ogf] A370473 7.56318 [RootOf(_Z^6*x-_Z^5*x+_Z^4*x-_Z^3*x+_Z^2*x-_Z+1) ogf] A370474 8.73219 [RootOf(-1+_Z+(x^2-2*x)*_Z^3+x^2*_Z^4+x^2*_Z^5) ogf] A370476 7.25503 [RootOf(_Z^7*x-_Z^6*x+_Z^5*x-_Z^4*x+_Z^3*x-_Z+1) ogf] A370481 12.8694 [-(32*x^2-63*x+33)/(3*x-1)/(x-1)^2 ogf] A370481 8.12811 [-(96*x^3-282*x^2+296*x-102)/(96*x^4-317*x^3+383*x^2-195*x+33) lgdogf] A370487 7.75491 [1/2/(4*x-1)*(12*x^2+3*(-(4*x-1)*(x-1)^2)^(1/2)+x-1)/(x-1) ogf] A370532 10.3894 [-(-5*x^3+15*x^2+5*x+5)/(5*x^4-4*x^3+2*x^2-2*x-1) lgdogf] A370532 17.1742 [(5*x^3+x^2+3*x+1)/(x-1)^2 ogf] A370546 17.7265 [x/(25*x^6+5*x^5+5*x+1) revogf] A370568 10.8400 [(x-1)/(x^5-15*x^4+35*x^3-28*x^2+9*x-1) ogf] A370627 10.3296 [{-8*a(n)-2*a(n+1)+a(n+2) a(0) = 1 a(1) = 5} ogf] A370627 12.4563 [-(24*x^2+16*x+5)/(24*x^3+14*x^2-x-1) lgdogf] A370627 17.2863 [-(3*x+1)/(2*x+1)/(4*x-1) ogf] A370649 11.5190 [-(122*x^2+206*x+32)/(61*x^3-33*x^2-27*x-1) lgdogf] A370649 17.6461 [x*(61*x^2+28*x+1)/(x-1)^4 ogf] A370696 13.1964 [-(-3*x^3+3*x^2+1)/(x-1) lgdegf] A370696 16.7368 [-exp(x^3)/(x-1) egf] A370699 14.1097 [-(x^3-x^2+2)/(2*x-2) lgdegf] A370699 14.9735 [-exp(-1/6*x^3)/(x-1) egf] A370700 14.8282 [-(2*x^2-2*x+1)/(x-1) lgdegf] A370700 15.8168 [-exp(-x^2)/(x-1) egf] A370701 13.5067 [-(3*x^3-3*x^2+1)/(x-1) lgdegf] A370701 15.6077 [-exp(-x^3)/(x-1) egf] A370722 13.3800 [-(x-1)^2/(x^7+x^3-3*x^2+3*x-1) ogf] A370722 7.28732 [-(5*x^7-7*x^6+x^3-3*x^2+3*x-1)/(x^8-x^7+x^4-4*x^3+6*x^2-4*x+1) lgdogf] A370754 9.56677 [-(2*x^6-x^5-8*x^4+x^3-5*x^2-8*x-5)/(x+1)^3/(x-1)^4 ogf] A370779 10.7641 [(-(25*x+1)*(5*x-1)*(x+1))^(1/3) ogf] A370779 8.67111 [-(-125*x^2-70*x+7)/(125*x^3+105*x^2-21*x-1) lgdogf] A370780 6.36367 [-(-4913*x^2-3094*x+91)/(4913*x^3+4641*x^2-273*x-1) lgdogf] A370780 8.37883 [(-(289*x+1)*(17*x-1)*(x+1))^(1/3) ogf] A370781 11.6899 [-(8*x^2-4*x-1)/(8*x^3-6*x^2-3*x+1) lgdogf] A370781 14.1161 [1/((x-1)*(2*x+1)*(4*x-1))^(1/3) ogf] A370782 12.1502 [1/((x-1)*(5*x+1)*(25*x-1))^(1/3) ogf] A370782 9.11269 [-(125*x^2-70*x-7)/(125*x^3-105*x^2-21*x+1) lgdogf] A370797 10.6507 [-(-x^4-x^2+x)/(x^4+x^2-x-1) revogf] A370798 11.2117 [-(-x^5-x^2+x)/(x^5+x^2-x-1) revogf] A370799 10.6826 [-(-x^3+x^2-x)/(x^3-x^2+x+1) revogf] A370800 10.7599 [-(-x^4+x^2-x)/(x^4-x^2+x+1) revogf] A370801 11.0992 [-(-x^5+x^2-x)/(x^5-x^2+x+1) revogf] A370836 13.9296 [-(-x^3-x)/(x^3+x+1) revogf] A370837 13.6630 [-(-x^4-x)/(x^4+x+1) revogf] A370838 14.0533 [-(-x^5-x)/(x^5+x+1) revogf] A370839 13.1796 [-(x^4-x^2+x)/(x^2-1) revogf] A370840 10.5475 [RootOf(_Z^5*x^4+_Z^3*x^3-_Z^2*x+_Z-1) ogf] A370840 12.8078 [-(x^5-x^2+x)/(x^3-1) revogf] A370841 12.1982 [-(x^6-x^2+x)/(x^4-1) revogf] A370844 7.33729 [-(-x^5+4*x^4-6*x^3+4*x^2-x)/(x^5-4*x^4+6*x^3-4*x^2+x+1) revogf] A370846 6.41071 [-(256*x^5-160*x^4-32*x^3+54*x^2-2*x+4)/(128*x^6-96*x^5-56*x^4+6*x^3+19*x^2-1) lgdogf] A370846 8.87062 [-24*x*(4*x+1)*(-1+2*x)/(x-1)/(4*x-1)/(4*x^2+3*x+1) ogf] A370847 6.57415 [{(-n^3-4*n^2-5*n-2)*a(n)+n*a(n+1) a(0) = 0 a(1) = 2} ogf] A370880 10.4914 [(x^4-x^3+3*x^2-x+1)/(x^2+x+1)/(x-1)^4 ogf] A370912 12.0972 [-(2*x^2-10*x+16)/(x^3-5*x^2+9*x-5) lgdogf] A370912 16.2942 [3*x*(x^2-4*x+5)/(x-1)^4 ogf] A370914 11.6712 [-(14*x^2-46*x+40)/(7*x^3-27*x^2+35*x-15) lgdogf] A370914 16.0193 [3*x*(7*x^2-20*x+15)/(x-1)^4 ogf] A370922 9.18118 [x-1-(x-1)*exp(-x*(x-1)) revegf] A370933 10.4037 [{8*a(n)-6*a(n+1)+a(n+2) a(0) = 6 a(1) = 15} ogf] A370933 12.5146 [-(56*x^2-32*x+5)/(56*x^3-58*x^2+19*x-2) lgdogf] A370933 17.6226 [-3*(7*x-2)/(4*x-1)/(-1+2*x) ogf] A370943 4.71099 [1/2/(-1+2*x)^2*(4*x^2+(-(-1+2*x)*(2*x+1))^(1/2)-1) ogf] A370960 12.8755 [-2*(74*x^2-45*x+7)/(4*x-1)/(3*x-1)/(5*x-1) ogf] A370960 7.68202 [{-60*a(n)+47*a(n+1)-12*a(n+2)+a(n+3) a(0) = 14 a(1) = 78 a(2) = 426} ogf] A370962 8.83982 [(28*x^3-21*x^2+1)/(4*x-1)/(3*x-1)/(-1+2*x)/(5*x-1) ogf] A370964 13.3632 [-(13*x-1)/(15*x-1)/(14*x-1) ogf] A370964 8.08008 [{210*a(n)-29*a(n+1)+a(n+2) a(0) = 1 a(1) = 16} ogf] A370964 9.14326 [-(2730*x^2-420*x+16)/(2730*x^3-587*x^2+42*x-1) lgdogf] A370966 9.22204 [(x-1)*(8*x^2-1)/(6*x-1)/(3*x-1)/(-1+2*x)/(4*x-1) ogf] A370973 16.6590 [-(-x^2+exp(x)-x+2)/(x-1) egf] A370980 15.4903 [-(2*x^4+3*x^3-2*x^2+1)/(x+1)^2/(x-1)^3 ogf] A370980 9.89657 [-(2*x^5+8*x^4+5*x^3+7*x^2+x+1)/(2*x^6+3*x^5-4*x^4-3*x^3+3*x^2-1) lgdogf] A371017 15.3958 [-(120*x+26)/(48*x^2-8*x-1) lgdogf] A371017 18.6181 [20*(1+12*x)/(1-4*x)^(7/2) ogf] A371017 7.48205 [{(-32*n^2-132*n-130)*a(n)+(8*n^2+13*n+5)*a(n+1) a(0) = 20} ogf] A371031 1.43911 [{-19*a(n+1)+a(n+3) a(0) = 9 a(1) = 17 a(2) = 170} ogf] A371031 2.69451 [(x^2-17*x-9)/(19*x^2-1) ogf] A371114 8.54315 [-I/(x-1)*exp(x/(x-1))*(Pi+I*ln(x-1)) egf] A371125 9.21403 [-(x-1)^5/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-7*x+1) ogf] A371144 10.2411 [(81*x^9-129*x^8+78*x^7-67*x^6+2*x^5+44*x^4-9*x^3-x+3)/(x-1)^2 ogf] A371149 32.9864 [-1/(x-1) lgdogf] A371149 36.9447 [-1/(x-1) ogf] A371154 5.86983 [(x^2-x-1)*(x^4-x^3+x^2+1)/(x^2+x+1)/(x-1)^3 ogf] A371193 12.5074 [-(1024*x-48)/(512*x^2-48*x+1) lgdogf] A371193 17.6386 [x/(32*x-1)/(16*x-1) ogf] A371193 8.18938 [{512*a(n)-48*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A371292 9.41495 [-x*(4*x^16-4*x^15+6*x^14-6*x^13+2*x^4-2*x^3-1)/(x-1)^2 ogf] A371301 11.9664 [-(x^2+x-1)/(x-1)/(2*x^2+3*x-1) ogf] A371301 6.88334 [{2*a(n)+a(n+1)-4*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 10} ogf] A371301 8.10227 [-(2*x^4+4*x^3-x^2-4*x+3)/(2*x^5+3*x^4-5*x^3-4*x^2+5*x-1) lgdogf] A371314 13.7895 [1-exp(-x*(x-1)^2) revegf] A371326 10.7937 [x-1-(x-1)*exp(x*(x-1)^2) revegf] A371327 11.1279 [(exp(x*(x-1))-1)*(x-1) revegf] A371329 9.49693 [(x-1)*(I*Pi-ln(x^2-x-1)) revegf] A371341 12.8944 [RootOf(_Z^5*x-_Z^2+_Z+x) ogf] A371342 12.7318 [-exp(x)*x+exp(x)+x-1 revegf] A371362 13.0775 [-(9*x^3-6*x^2+x)/(2*x-1) revogf] A371363 9.92982 [-(-27*x^4+27*x^3-9*x^2+x)/(2*x-1) revogf] A371364 12.3889 [-(16*x^3-8*x^2+x)/(3*x-1) revogf] A371365 9.26414 [-(-64*x^4+48*x^3-12*x^2+x)/(3*x-1) revogf] A371366 11.4009 [-(25*x^3-10*x^2+x)/(4*x-1) revogf] A371367 11.9362 [-(36*x^3-12*x^2+x)/(5*x-1) revogf] A371368 10.9131 [-(49*x^3-14*x^2+x)/(6*x-1) revogf] A371369 11.2279 [-(64*x^3-16*x^2+x)/(7*x-1) revogf] A371370 12.8955 [-(x-1)^2*(exp(-x)-1) revegf] A371371 15.5273 [(x-1)^2*ln(x+1) revegf] A371380 13.8841 [-(9*x^3-6*x^2+x)/(x-1) revogf] A371385 10.3494 [-(-27*x^4+27*x^3-9*x^2+x)/(x-1) revogf] A371386 11.7796 [-(16*x^3-8*x^2+x)/(x-1) revogf] A371387 9.71386 [-(-64*x^4+48*x^3-12*x^2+x)/(x-1) revogf] A371391 13.7589 [-(x^2-x)/(4*x^2+4*x+1) revogf] A371391 8.94328 [1/2*I*(4*I*x+(12*x-1)^(1/2)-I)/x/(4*x+1) ogf] A371392 11.8356 [-(x^2-x)/(8*x^3+12*x^2+6*x+1) revogf] A371393 13.5960 [-(x^2-x)/(9*x^2+6*x+1) revogf] A371393 8.83741 [1/2*I*(6*I*x-I+(16*x-1)^(1/2))/x/(9*x+1) ogf] A371394 10.2561 [-(x^2-x)/(27*x^3+27*x^2+9*x+1) revogf] A371396 11.5505 [2*(x^2-x-3)*(x^3-x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A371396 8.92542 [(x^5-x^4+16*x^2+13*x+7)/(x^7-2*x^6-2*x^5+5*x^4-3*x^3-6*x^2+4*x+3) lgdogf] A371398 11.7778 [x/(8*x^4+20*x^3+18*x^2+7*x+1) revogf] A371404 15.5778 [x/(9*x^3+15*x^2+7*x+1) revogf] A371405 11.3034 [x/(27*x^4+54*x^3+36*x^2+10*x+1) revogf] A371406 12.4822 [x/(4*x^4+12*x^3+13*x^2+6*x+1) revogf] A371407 12.3230 [x/(9*x^4+24*x^3+22*x^2+8*x+1) revogf] A371408 11.6465 [-(12*x^2-12*x-4)/(3*x^3-x^2-3*x+1) lgdogf] A371408 8.17734 [I/(3*x-1)^(5/2)*x^4*(x-1)/(x+1)^(5/2)/csgn(I*(3*x-1)) ogf] A371416 22.0728 [-x^4-3*x^2+x revogf] A371426 15.9245 [-x/(x^3-x^2-2*x-1) revogf] A371427 14.6253 [-x/(x^4-x^2-2*x-1) revogf] A371428 16.5403 [x/(x^3+2*x^2+3*x+1) revogf] A371429 13.3932 [-x/(x^4-x^3-3*x^2-3*x-1) revogf] A371430 13.6719 [x/(x^4+4*x^3+5*x^2+4*x+1) revogf] A371431 17.4112 [x*(x^3+x^2-2*x+1) revogf] A371433 15.3402 [-x*(x^3-3*x^2+2*x-1) revogf] A371434 14.8936 [-x*(x^3-4*x^2+3*x-1) revogf] A371435 14.6824 [x^5-x^4+3*x^3-3*x^2+x revogf] A371436 14.1097 [x^5-4*x^4+6*x^3-3*x^2+x revogf] A371444 10.1092 [8*(11*x^3+x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A371477 7.70029 [-(x+1)^2*(x^2+1)^2*(x^4+1)^2/(2*x^8-1) ogf] A371515 14.9592 [(19*x^3+119*x^2+53*x+1)/(x-1)^4 ogf] A371515 8.71256 [-(19*x^3+295*x^2+397*x+57)/(19*x^4+100*x^3-66*x^2-52*x-1) lgdogf] A371523 7.30094 [RootOf(x^2-2*x+1+(-x^2+2*x-1)*_Z+(-2*x^2+2*x)*_Z^3+x^2*_Z^6) ogf] A371532 15.9055 [(x^3+23*x^2+15*x+1)/(x-1)^4 ogf] A371532 9.54333 [-(x^3+49*x^2+91*x+19)/(x^4+22*x^3-8*x^2-14*x-1) lgdogf] A371537 6.91668 [RootOf(x^2+2*x+1+(-x^2-2*x-1)*_Z+(2*x^2+2*x)*_Z^3+x^2*_Z^6) ogf] A371560 6.22136 [{(-n^4-7*n^3-18*n^2-20*n-8)*a(n)+a(n+1) a(0) = 1} ogf] A371562 11.6245 [RootOf(_Z^5*x-_Z^4+_Z^3+x) ogf] A371577 6.85017 [1/2/(x^4+2*x^2+1)*(-2*x^3-2*x+1+(-4*x^3-4*x+1)^(1/2))*x revogf] A371583 6.85756 [RootOf(-x^2+2*x-1+(x^2-2*x+1)*_Z+(2*x^2-2*x)*_Z^3+x^2*_Z^5) ogf] A371587 10.4743 [-(x^10-x^7+x^3-x^2-1)/(x^2+x+1)/(x-1)^2 ogf] A371596 14.2265 [-(-4*x^2-4)/(x^4-6*x^2+1) lgdogf] A371596 16.2588 [(x^2-2*x-1)/(x^2+2*x-1) ogf] A371596 6.75156 [{-n*a(n)-2*n*a(n+1)+n*a(n+2) a(0) = 1 a(1) = 4 a(2) = 8} ogf] A371605 10.6313 [-(6*x^2-6*x+6)/(2*x^3-3*x^2+6*x-6) lgdegf] A371605 16.5951 [-6/(2*x^3-3*x^2+6*x-6) egf] A371612 7.08152 [RootOf(-x^2-2*x-1+_Z+(2*x^2+2*x)*_Z^2-2*x*_Z^3-x^2*_Z^4+x^2*_Z^5) ogf] A371613 6.48002 [RootOf(-x^2-2*x-1+_Z+(2*x^2+2*x)*_Z^3-2*x*_Z^4-x^2*_Z^6+x^2*_Z^7) ogf] A371621 12.3610 [12/(3*x^4-4*x^3+6*x^2-12*x+12) egf] A371621 7.47413 [-(12*x^3-12*x^2+12*x-12)/(3*x^4-4*x^3+6*x^2-12*x+12) lgdegf] A371660 9.26619 [RootOf(_Z^5*x+_Z^4*x+_Z^3*x-_Z+1) ogf] A371661 8.79129 [RootOf(_Z^5*x+2*_Z^4*x+_Z^3*x-_Z+1) ogf] A371669 10.3969 [RootOf(_Z^5*x+2*_Z^4*x+_Z^3*x-2*_Z+2) ogf] A371675 7.44101 [(1/2*x^2-2*x+1/2+1/2*(x^4-8*x^3+14*x^2-8*x+1)^(1/2))*x revogf] A371676 8.25169 [RootOf(_Z^5*x^2-_Z^4*x^2-2*_Z^3*x-2*_Z^2*x+_Z-1) ogf] A371679 6.93367 [RootOf(-1+_Z-2*x*_Z^2+(x^2-2*x)*_Z^3+2*x^2*_Z^4+x^2*_Z^5) ogf] A371693 8.07460 [1/2/(x^2+2*x+1)*(-2*x^2-2*x+1+(-4*x^2-4*x+1)^(1/2))*x revogf] A371700 11.6140 [RootOf(_Z^7*x+_Z^6*x-_Z+1) ogf] A371758 7.65700 [(-6*x^2+(-16*x^3-44*x^2-24*x+9)^(1/2)+x-6)/(x^2+3)/(4*x-1) lgdogf] A371758 8.15099 [-(-4*x+1+(-(4*x-1)*(x-2)^2)^(1/2))/(4*x-1)/(x^2+3) ogf] A371777 11.0964 [1/2*(1+(1-4*x)^(1/2))/(4*x-1)/(x-1) ogf] A371798 6.80333 [-1/2*(4*x^2+(-(4*x-1)*(3*x-2)^2)^(1/2)-9*x+2)/(4*x-1)/(x^2-2*x+2) ogf] A371820 10.1759 [-1/2*((1-4*x)^(1/2)+1)/(1-4*x)^(1/2)/(3*x-1) ogf] A371843 10.5327 [-(2*x^3+3*x^2+4*x+4)/(2*x^4+5*x^3+2*x^2-2*x-1) lgdogf] A371843 14.7827 [-(2*x+1)^2/(x+1)/(x^2+x-1) ogf] A371843 8.96403 [{-a(n)-2*a(n+1)+a(n+3) a(0) = 1 a(1) = 4 a(2) = 6} ogf] A371870 6.53581 [1/2*(12*x^2+(-(4*x-1)*(2*x^2-5*x+1)^2)^(1/2)-7*x+1)/(4*x-1)/(x^2+4*x-1) ogf] A371871 6.84041 [-1/2*(4*x^2+(-(4*x-1)*(5*x-3)^2)^(1/2)-13*x+3)/(4*x-1)/(x^2+3) ogf] A371873 10.3098 [1/2*(1-2*x+(1-4*x)^(1/2))/(4*x-1)/(x-1) ogf] A371888 11.0420 [-1/2*(x+1+(5*x^2-2*x+1)^(1/2))/(x-1) ogf] A371890 8.54144 [RootOf(x^4+(-x^4-x^3)*_Z-x*_Z^4+_Z^5) revogf] A371912 13.9862 [-(x^2+2*x-6)/(x^3-x^2-2*x+2) lgdogf] A371912 21.8321 [6*(x^2-2)/(x-1)^3 ogf] A371912 8.77567 [{(-n^2-9*n-12)*a(n)+(n^2+7*n+4)*a(n+1) a(0) = 12} ogf] A371913 9.88751 [RootOf(-x+x*_Z+_Z^4+(x-1)*_Z^5) ogf] A371914 10.3237 [RootOf(_Z^5*x-_Z^4+_Z^3+_Z*x-x) ogf] A371915 10.7025 [RootOf(_Z^5*x-_Z^3+_Z^2+_Z*x-x) ogf] A371932 12.1429 [RootOf(_Z^5*x-_Z^3+_Z^2+x) ogf] A371964 7.22887 [1/2/(4*x-1)*(-8*x^2+(-(4*x-1)*(2*x^2-4*x+1)^2)^(1/2)+6*x-1)/(x-1) ogf] A371965 8.16819 [1/2/(4*x-1)*(-4*x^2+(-(4*x-1)*(3*x-1)^2)^(1/2)+5*x-1)/(x-1) ogf] A371986 8.81534 [1/5*x^2+1/5*x-1/5+1/5*(-4*x^4-8*x^3-x^2+3*x+1)^(1/2) revogf] A372002 15.6983 [2*x^2+(4*x^4+4*x+1)^(1/2) ogf] A372004 17.5700 [1/(9*x^2+9*x+1)^(1/3)*x revogf] A372005 17.6868 [1/(16*x^2+16*x+1)^(1/4)*x revogf] A372006 10.8946 [RootOf(_Z^5-25*_Z^2*x^2-25*_Z*x-1) ogf] A372010 9.02736 [-(10*x^3-100*x^2+8*x+1)/(x-1)/(10*x-1)/(10*x^2-1) ogf] A372015 11.5263 [-(4*x^3-8*x^2+2*x+4)/(x^4-3*x^3+3*x-1) lgdogf] A372015 13.6047 [-x*(x-1)/(x+1)/(x^2-3*x+1)^2 ogf] A372019 12.3847 [1/(8*x+1)*((1-x)*(8*x+1)^2)^(1/3)*x revogf] A372020 11.7058 [RootOf(_Z^5*x-_Z^4+15*_Z*x+1) ogf] A372022 7.36293 [RootOf(_Z^5*x^2-2*_Z^4*x-_Z^2*x^2+_Z^3+2*_Z*x-9*x-1) ogf] A372023 11.5967 [-1/(x-1)*(-(x-1)*(3*x+1))^(1/2) ogf] A372023 19.6501 [-2/(3*x^2-2*x-1) lgdogf] A372023 6.20527 [{-3*n*a(n)+2*n*a(n+1)+(n+2)*a(n+2) a(0) = 1 a(1) = 2} ogf] A372024 14.3336 [(-1)^(1/3)/(x-1)^(1/3)*(8*x+1)^(1/3) ogf] A372024 19.5097 [-3/(8*x^2-7*x-1) lgdogf] A372025 15.3033 [-(x^2-4*x-9)/(x^3-4*x^2+x+2) lgdogf] A372025 21.7647 [6*(x^2-3*x-2)/(x-1)^3 ogf] A372025 9.69716 [{(-2*n^2-9*n-9)*a(n)+(2*n^2+5*n+2)*a(n+1) a(0) = 12} ogf] A372026 13.9137 [(x^7+x^5-5*x^4+17*x^3-3*x^2+9*x+12)/(x-1)^2 ogf] A372027 13.0799 [(x^6-3*x^5+3*x^4+2*x^2+3*x-12)/(x-1)^3 ogf] A372035 12.1604 [-(2*x+(5*x^2-2*x+1)^(1/2))/(x-1) ogf] A372035 14.2652 [-2/(5*x^2-2*x+1)^(1/2)/(x-1) lgdogf] A372037 11.8882 [2/(4*x^4+8*x^3+4*x^2+1)^(1/2)*(2*x+1) lgdogf] A372037 12.4728 [2*x^2+2*x+(4*x^4+8*x^3+4*x^2+1)^(1/2) ogf] A372039 14.5016 [-(-6*x-3)/(9*x^2+9*x+1) lgdogf] A372039 21.0933 [(9*x^2+9*x+1)^(1/3) ogf] A372048 11.1766 [(x^6-2*x^5+2*x^4-2*x^3+x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A372049 11.7874 [-(3*x^6-6*x^5+6*x^4-4*x^3+x-1)/(x^2+1)/(x-1)^2 ogf] A372051 8.92269 [-(3*x^8-9*x^7+11*x^6-7*x^5+4*x^4-5*x^3+6*x^2-3*x+1)/(x^4+1)/(x-1)^3 ogf] A372057 14.4148 [-(9*x^21+x^8+2*x^4+x+1)/(x-1) ogf] A372070 12.8324 [-2*(3*x^4+2*x^3+22*x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A372070 8.71196 [-(3*x^5+7*x^4+80*x^3+36*x^2+61*x+5)/(3*x^6+2*x^5+19*x^4-19*x^2-2*x-3) lgdogf] A372076 12.7705 [x*(x-1)/(4*x^3-3*x^2+3*x-1) ogf] A372076 6.09764 [{-4*a(n)+3*a(n+1)-3*a(n+2)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 2} ogf] A372076 8.35604 [-(8*x^3-15*x^2+6*x-2)/(4*x^4-7*x^3+6*x^2-4*x+1) lgdogf] A372077 10.1513 [-(12*x^2-6*x+3)/(4*x^3-3*x^2+3*x-1) lgdogf] A372077 14.6629 [-x^2/(4*x^3-3*x^2+3*x-1) ogf] A372077 5.99847 [{-4*a(n)+3*a(n+1)-3*a(n+2)+a(n+3) a(0) = 0 a(1) = 0 a(2) = 1} ogf] A372086 11.7975 [(-2*x^2+(4*x^4-4*x+1)^(1/2))*x revogf] A372090 16.7448 [(-4*x^2-4*x+1)^(1/2)*x revogf] A372091 11.0790 [RootOf(9*_Z^5*x^2+9*_Z^4*x-_Z^3+1) ogf] A372107 10.0981 [-(-2*x+(5*x^2-2*x+1)^(1/2))/(x-1)*x revogf] A372109 10.5607 [-1/(x-1)*((x-1)*(5*x-1))^(1/2)*x revogf] A372125 11.6181 [RootOf(4*_Z^5*x^3+_Z^4*x^2-_Z^2+2*_Z-1) ogf] A372148 6.55067 [-(144*x^3-120*x^2-10*x+14)/(36*x^5-24*x^4-35*x^3+25*x^2-x-1) lgdogf] A372148 8.79406 [-(6*x+1)*(x+1)^2/(x-1)/(3*x-1)/(-1+2*x) ogf] A372184 6.49252 [{(-4*n^4-24*n^3-53*n^2-51*n-18)*a(n)+2*a(n+1) a(0) = 1} ogf] A372225 12.2950 [(3*x+1)/(x^2+4*x-1)/(x^2-x-1) ogf] A372225 7.73195 [-(9*x^4+22*x^3-9*x^2-12*x-6)/(3*x^5+10*x^4-15*x^3-15*x^2+1) lgdogf] A372237 9.58454 [-(64*x^7-64*x^6+12*x^3-14*x^2-x+4)/(-1+2*x)/(x-1)^2 ogf] A372239 11.4033 [-(8*x^2+16*x-6)/(16*x^3-4*x^2-4*x+1) lgdogf] A372239 14.2003 [-1/(1-4*x)^(1/2)*(2*x+1)/(-1+2*x) ogf] A372242 12.9274 [-(9*x^2+9*x+1)/(x+1)/(x^2+x-1) ogf] A372242 8.31963 [-(9*x^4+18*x^3+21*x^2+22*x+9)/(9*x^5+27*x^4+19*x^3-7*x^2-9*x-1) lgdogf] A372242 8.84507 [{-a(n)-2*a(n+1)+a(n+3) a(0) = 1 a(1) = 9 a(2) = 11} ogf] A372252 6.29415 [-(4*x^5-20*x^4-40*x^2-20*x-8)/(x^6-3*x^5-5*x^4-5*x^2+3*x+1) lgdogf] A372252 8.53592 [-x*(x^2+1)*(x^2-4*x-1)/(x^2+x-1)^4 ogf] A372264 7.13116 [-(exp(x)*x^4-exp(x)*x^3-exp(x)*x^2+exp(x)*x-1)/(x-1)^2 egf] A372342 14.7885 [1/(-(x+1)*(3*x-1))^(1/2)*x/(x+1) ogf] A372342 22.5525 [-6*x/(3*x^2+2*x-1) lgdogf] A372375 10.3826 [-(-x^2-x)/(x^6+2*x^4+2*x^3+x^2+2*x+1) revogf] A372376 7.27467 [-(-x^2-x)/(x^9+3*x^7+3*x^6+3*x^5+6*x^4+4*x^3+3*x^2+3*x+1) revogf] A372377 7.20228 [-(-x^3-2*x^2-x)/(x^9+3*x^7+3*x^6+3*x^5+6*x^4+4*x^3+3*x^2+3*x+1) revogf] A372378 8.54794 [x/(x^9+3*x^7+3*x^6+3*x^5+6*x^4+4*x^3+3*x^2+3*x+1) revogf] A372406 6.99527 [-(x^38-x^37+x^35-x^34+x^30-x^29+x^27+x^10+x^3+1)/(x-1) ogf] A372418 9.07694 [-(-x^3+2*x^2-x)/(x^6-2*x^4+2*x^3+x^2-2*x+1) revogf] A372420 11.4785 [-(4*x^2+14*x-5)/(8*x^3+2*x^2-5*x+1) lgdogf] A372420 14.0774 [-1/(1-4*x)^(1/2)*(x+1)/(-1+2*x) ogf] A372506 6.56387 [RootOf(x^3-x^2*_Z-108*x^3*_Z^2+(108*x^2-3*x)*_Z^3-36*x*_Z^4+4*_Z^5) revogf] A372526 19.9119 [-x^10-x^4-x^2+x revogf] A372535 11.8179 [-(10*x^5-x^4-1)/(25*x^6-5*x^5-5*x+1) lgdogf] A372535 15.0410 [(-1)^(6/25)/(5*x^5-1)^(1/25)/(5*x-1)^(1/5) ogf] A372583 13.1119 [(x^4+11*x^3+21*x^2+11*x+1)/(x-1)^6 ogf] A372583 7.49252 [-(2*x^4+37*x^3+117*x^2+97*x+17)/(x^5+10*x^4+10*x^3-10*x^2-10*x-1) lgdogf] A372584 22.5362 [-x/(x-1)/(x+1) ogf] A372584 25.6663 [-2*x/(x^2-1) lgdogf] A372611 11.2117 [-(12*x^2+18*x-7)/(24*x^3-10*x^2-3*x+1) lgdogf] A372611 14.3848 [-1/(1-4*x)^(1/2)*(3*x+1)/(-1+2*x) ogf] A372623 10.5131 [1/2*exp(x)*x^2+exp(x)*x+exp(x) lgdegf] A372645 13.6930 [-(x^8-3*x^5+x^3+x^2+2)/(x-1) ogf] A372665 13.3008 [-(2*x^3+5*x^2+6*x+1)/(x+1)^2/(x-1)^3 ogf] A372665 8.73289 [-(4*x^4+17*x^3+35*x^2+21*x+7)/(2*x^5+5*x^4+4*x^3-4*x^2-6*x-1) lgdogf] A372718 12.1589 [-(3*x^4+2*x^3+22*x^2+2*x+3)/(x+1)^2/(x-1)^3 ogf] A372718 8.25472 [-(3*x^5+7*x^4+80*x^3+36*x^2+61*x+5)/(3*x^6+2*x^5+19*x^4-19*x^2-2*x-3) lgdogf] A372719 10.6359 [-(6*x^6-3*x^5+6*x^4-8*x^3+6*x^2+x+1)/(x-1) ogf] A372735 4.11198 [-(4*x^5+5*x^4+14*x^3+16*x^2+12*x+3)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A372751 10.2654 [-(2*x^3+47*x^2+110*x+21)/(x^4+13*x^3-13*x-1) lgdogf] A372751 14.8277 [(x^2+13*x+1)*(x+1)^2/(x-1)^6 ogf] A372760 10.7551 [-(2*x^3-6*x^2-1)/(x^4-2*x^3+x^2-3*x+2) lgdogf] A372760 18.1641 [x*(x-2)/(x^3+x-1) ogf] A372760 8.78908 [{-a(n)-a(n+2)+a(n+3) a(0) = 0 a(1) = 2 a(2) = 1} ogf] A372782 14.4907 [-(3*x^2-2*x-2)/(x-1)/(3*x^2-1) ogf] A372782 7.89226 [{3*a(n)-3*a(n+1)-a(n+2)+a(n+3) a(0) = 2 a(1) = 4 a(2) = 7} ogf] A372782 9.30457 [-(9*x^4-12*x^3-9*x^2+6*x+4)/(9*x^5-15*x^4-3*x^3+11*x^2-2) lgdogf] A372829 7.61477 [-1/2*(exp(1/4*x^2)*Pi^(1/2)*erf(1/2*x)*x+2)/(x-1) egf] A372852 12.3547 [-(3*x^3-8*x^2+5*x-1)/(3*x-1)^2/(x-1)^2 ogf] A372852 7.87314 [-(9*x^4-36*x^3+36*x^2-16*x+3)/(9*x^5-36*x^4+50*x^3-31*x^2+9*x-1) lgdogf] A372855 10.7253 [-3*x*(x+1)*(x^3-18*x^2+168*x+11)/(x-1)^5 ogf] A372855 7.05360 [-(x^4-30*x^3+399*x^2+1016*x+234)/(x^5-18*x^4+167*x^3+29*x^2-168*x-11) lgdogf] A372872 12.5885 [-(6*x^2-4*x+2)/(6*x^3-11*x^2+6*x-1) lgdogf] A372872 16.6990 [-(-1+2*x)^3/(3*x-1)^2/(x-1)^2 ogf] A372874 13.1649 [(2*x^3+4*x^2-4*x+1)/(3*x-1)^2/(x-1)^2 ogf] A372874 7.95109 [-(6*x^4+32*x^3-42*x^2+20*x-4)/(6*x^5+4*x^4-26*x^3+23*x^2-8*x+1) lgdogf] A372878 11.7076 [-(24*x^2-25*x+7)/(6*x^3-11*x^2+6*x-1) lgdogf] A372878 17.4313 [(-1+2*x)/(3*x-1)^2/(x-1)^3 ogf] A372884 11.9860 [-(18*x^2-17*x+5)/(6*x^3-11*x^2+6*x-1) lgdogf] A372884 16.3890 [-(-1+2*x)^2/(3*x-1)^2/(x-1)^3 ogf] A372947 5.44714 [-(-81*x^12+8*x^11+99*x^10-10*x^9+2*x)/(9*x^13-x^12-9*x^11+x^10+x^2-1) lgdogf] A372947 9.85672 [-(9*x^11-x^10+1)/(x-1)/(x+1) ogf] A372956 10.4508 [-(6*x^10-9*x^5+2)/(5*x-1)/(11*x^10-11*x^5+2) ogf] A372956 11.4960 [-(50*x^5-5*x^4-5)/(25*x^6-5*x^5-5*x+1) lgdogf] A372976 12.2870 [-x*(3*x^3+x^2+17*x+3)/(x+1)^2/(x-1)^3 ogf] A372976 8.51576 [-(6*x^4+6*x^3+78*x^2+34*x+20)/(3*x^5+x^4+14*x^3+2*x^2-17*x-3) lgdogf] A372986 7.68904 [{(-4*n^2-14*n-12)*a(n)+a(n+2) a(0) = 1 a(1) = 2} ogf] A372987 9.25608 [{(-4*n-6)*a(n)+a(n+2) a(0) = 1 a(1) = 2} ogf] A372988 6.51634 [{(-16*n^2-96*n-140)*a(n)+a(n+4) a(0) = 1 a(1) = 1 a(2) = 12 a(3) = 120} ogf] A372991 7.12335 [{(-4*n^2-22*n-30)*a(n)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 24} ogf] A372995 7.58052 [{(-n-4)*a(n)+a(n+4) a(0) = 1 a(1) = 1 a(2) = 1 a(3) = 6} ogf] A373011 11.8635 [-(3*x^5-3*x^4+x^2-2)/(x+1)/(x-1)^2 ogf] A373011 6.93716 [-(-6*x^6+6*x^5+12*x^4-11*x^3+x^2-4*x-2)/(3*x^7-3*x^6-3*x^5+4*x^4-3*x^2+2) lgdogf] A373046 11.4389 [-x^4/(x-1)/(-1+2*x)/(x^3+x^2+x-1) ogf] A373046 9.74430 [-(10*x^4-4*x^3-8*x+4)/(2*x^5-x^4-4*x^2+4*x-1) lgdogf] A373065 8.20655 [-x^2*(7*x^6+54*x^5-39*x^4+20*x^3-15*x^2+6*x-1)/(x-1)^3/(3*x-1)^3/(x+1)^3 ogf] A373080 12.3719 [-(x+1)^2*(x^2+1)^2/(2*x^3+x^2-1) ogf] A373080 8.29047 [-(-6*x^5-6*x^4+12*x^2+6*x+2)/(2*x^6+3*x^5+3*x^4+2*x^3-x-1) lgdogf] A373110 3.27061 [-(x^4+22*x^3+59*x^2+64*x+22)/(x^5+10*x^4+11*x^3-5*x^2-12*x-5) lgdogf] A373110 5.02796 [-(x^3+10*x^2+12*x+5)/(x+1)/(x-1)^3 ogf] A373121 9.05505 [-2*x*(x-1)*(x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A373122 7.91147 [-2*(x-1)*(x+1)*(x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A373134 10.6953 [4*x^4*(5*x^4+12*x^2-12*x+3)/(x-1)^3/(3*x-1)^3/(x+1)^3 ogf] A373175 8.38488 [-(4*x+2+(8*x^3-52*x^2+70*x+49)^(1/2))/(4*x^2-4*x-3) lgdegf] A373175 9.00600 [-exp(-1+(2*x+1)^(1/2))/(-2*x-5+4*(2*x+1)^(1/2)) egf] A373176 8.10983 [-2*exp(-1)/(2*x-3)^3*((2*x+1)^(1/2)+2)^3*exp((2*x+1)^(1/2)) egf] A373176 8.57061 [-(6*x+3+(8*x^3-68*x^2+126*x+81)^(1/2))/(4*x^2-4*x-3) lgdegf] A373245 9.45406 [-(x^3+x^2-2*x+1)/(2*x^2-2*x+1)/(x^2+2*x-1) ogf] A373281 11.1713 [-(10*x^5-x^4-1)/(5*x-1)/(5*x^5-1) ogf] A373282 10.1629 [-(12*x^6-x^5-1)/(6*x-1)/(6*x^6-1) ogf] A373282 7.29083 [RootOf(x+(-6*x-1)*_Z+(-6*x-1)*_Z^6+(36*x+12)*_Z^7) revogf] A373283 10.8186 [-(14*x^7-x^6-1)/(7*x-1)/(7*x^7-1) ogf] A373293 5.83379 [-(441*x^4-462*x^3+614*x^2-454*x+77)/(441*x^5-882*x^4+740*x^3-390*x^2+99*x-8) lgdogf] A373293 9.36693 [-2*(21*x^2-11*x+8)/(x-1)/(3*x-1)/(7*x-1) ogf] A373302 9.61639 [-(x-1)/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-7*x+1) ogf] A373358 10.9274 [-(8*x^3+6*x^2-10*x+4)/(2*x^4+2*x^3-5*x^2+4*x-1) lgdogf] A373358 15.5283 [-x^2/(2*x^2-2*x+1)/(x^2+2*x-1) ogf] A373392 9.40362 [-(3*x^3+5*x^2+4*x+1)/(2*x^2+2*x+1)/(x^2-2*x-1) ogf] A373419 8.22174 [-2*(x-1)*(x+1)*(x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A373445 5.49437 [-x^6/(-1+2*x)/(x^2+x+1)/(3*x^3+x^2+x-1)/(x^3+x^2+x-1) ogf] A373447 7.16501 [-(x+1)*(x^2+x+1)*(x^3-x^2-x-1)/(x^6-x^4-2*x^3-x^2+1) ogf] A373463 12.6881 [-1/(x^5-5*x^4-10*x^3-10*x^2-5*x-1) ogf] A373463 7.41188 [-(5*x^4-20*x^3-30*x^2-20*x-5)/(x^5-5*x^4-10*x^3-10*x^2-5*x-1) lgdogf] A373511 7.92901 [(686*x^21-882*x^14+63*x^7-1)/(686*x^21+637*x^15-882*x^14-56*x^8+63*x^7+x-1) ogf] A373512 7.33590 [(102*x^24-459*x^16+102*x^8-5)/(102*x^24+345*x^17-459*x^16-92*x^9+102*x^8+5*x-5) ogf] A373517 15.8912 [-(-1)^(1/3)/(x^3-1)^(4/3) lgdegf] A373518 12.2284 [-1/(x^3-1)^(5/3)*(x^3+1)*(-1)^(2/3) lgdegf] A373519 8.95264 [-(-1)^(1/4)/(x-1)^(5/4)/(x+1)^(5/4)/(x^2+1)^(5/4) lgdegf] A373520 8.23978 [-I/(x-1)^(3/2)/(x+1)^(3/2)/(x^2+1)^(3/2)*(x^4+1) lgdegf] A373521 12.0716 [-(2*x^4+1)/(x^4-1)^(7/4)*(-1)^(3/4) lgdegf] A373522 14.3012 [1/(x^3+1)^(2/3)*(2*x^3+1) lgdegf] A373523 14.6323 [1/(x^3+1)^(1/3)*(3*x^3+1) lgdegf] A373524 15.7591 [1/(x^4+1)^(3/4)*(2*x^4+1) lgdegf] A373525 14.6323 [1/(x^4+1)^(1/2)*(3*x^4+1) lgdegf] A373526 15.1619 [(4*x^4+1)/(x^4+1)^(1/4) lgdegf] A373538 11.7570 [-(x^2-1)/(x^4+2*x^2+1) lgdegf] A373538 17.7943 [exp(x/(x^2+1)) egf] A373539 21.3605 [1/(x^3+1)^(4/3) lgdegf] A373540 21.2625 [1/(x^4+1)^(5/4) lgdegf] A373541 11.7018 [-(3*x^4-1)/(x^8+2*x^4+1) lgdegf] A373541 17.7108 [exp(x/(x^4+1)) egf] A373542 12.5900 [-1/(-x^2+1)^(1/2)*(2*x^2-1) lgdegf] A373542 5.69286 [-I*sin(x*((x-1)*(x+1))^(1/2))+cos(x*((x-1)*(x+1))^(1/2)) egf] A373554 8.74944 [-(x+1)*(x^3-x^2-2*x-1)/(x^4-x^3-2*x^2+1) ogf] A373561 15.1910 [x*(4*x^3+21*x^2+14*x+1)/(x-1)^6 ogf] A373561 9.60353 [-(12*x^3+96*x^2+112*x+20)/(4*x^4+17*x^3-7*x^2-13*x-1) lgdogf] A373565 12.8096 [-(-x^2+2*x-2)/(x^3-2*x^2+1) lgdogf] A373565 18.7458 [(x^2-x-1)/(x-1) ogf] A373565 6.62567 [{(-n^2+n)*a(n)+(n^2-n)*a(n+1) a(0) = 1 a(1) = 2 a(2) = 1} ogf] A373566 14.0757 [(x^3+x^2-2*x-1)/(x^2+x-1) ogf] A373566 9.55143 [-(-x^4-2*x^3-3)/(x^5+2*x^4-2*x^3-4*x^2+x+1) lgdogf] A373567 11.4519 [(x-1)*(x^3-3*x-1)/(x^3-x^2-2*x+1) ogf] A373568 9.34919 [(x^5+x^4-4*x^3-3*x^2+3*x+1)/(x+1)/(x^3-3*x+1) ogf] A373569 7.50195 [(x^6-x^5-5*x^4+4*x^3+6*x^2-3*x-1)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A373577 14.8936 [(x^2+1)^(1/2)*(4*x^2+1) lgdegf] A373578 18.6297 [exp(x*(x^2+1)^2) egf] A373578 21.5407 [5*x^4+6*x^2+1 lgdegf] A373584 10.7151 [-(x^4+4*x^3-4*x^2+4*x+1)/(x^2+1)/(x-1)^3 ogf] A373598 17.1410 [-18*x^17/(x^18-1) lgdogf] A373619 13.4517 [I*(2*x^2+1)/(x^2-1)^(5/2) lgdegf] A373620 10.4180 [-(3*x^2+1)/(x^6-3*x^4+3*x^2-1) lgdegf] A373620 14.8166 [exp(x/(1+x)^2/(x-1)^2) egf] A373629 16.3890 [1/(4*x^2+2*x-1)/(x^2+x-1) ogf] A373629 9.79341 [-(16*x^3+18*x^2-6*x-3)/(4*x^4+6*x^3-3*x^2-3*x+1) lgdogf] A373638 10.9172 [-(x-1)^2*(1+x)^2/(x^6-3*x^4+3*x^2+x-1) ogf] A373638 7.11569 [-(2*x^7-6*x^5+6*x^3-3*x^2-2*x-1)/(x^8-4*x^6+6*x^4+x^3-4*x^2-x+1) lgdogf] A373639 11.1677 [-(x-1)*(x^2+x+1)/(x^6-2*x^3-x+1) ogf] A373639 8.15242 [-(3*x^8-6*x^5+2*x^3+3*x^2+1)/(x^9-3*x^6-x^4+3*x^3+x-1) lgdogf] A373640 10.0145 [-(x-1)^2*(x^2+x+1)^2/(x^9-3*x^6+3*x^3+x-1) ogf] A373640 6.87443 [-(3*x^11-9*x^8+9*x^5-5*x^3-3*x^2-1)/(x^12-4*x^9+6*x^6+x^4-4*x^3-x+1) lgdogf] A373644 10.0763 [-(x-1)*(1+x)*(x^2+1)/(x^8-2*x^4-x+1) ogf] A373644 8.00176 [-(4*x^11-8*x^7+3*x^4+4*x^3+1)/(x^12-3*x^8-x^5+3*x^4+x-1) lgdogf] A373651 10.4149 [-(27*x^3-21*x^2+15*x+3)/(9*x^4-4*x^2+4*x-1) lgdogf] A373651 11.6584 [I/(3*x-1)^(5/2)/(1+x)^(5/2)*(3*x^2-2*x+1) ogf] A373653 11.5501 [(x-1)^3*(1+x)^3/(x^6-3*x^4+3*x^2+x-1) ogf] A373653 9.48758 [-(-5*x^2-1)/(x^8-4*x^6+6*x^4+x^3-4*x^2-x+1) lgdogf] A373654 11.1407 [-(5*x^3+1)/(x^9-3*x^6-x^4+3*x^3+x-1) lgdogf] A373654 12.2709 [(x-1)^2*(x^2+x+1)^2/(x^6-2*x^3-x+1) ogf] A373655 10.5348 [(x-1)^3*(x^2+x+1)^3/(x^9-3*x^6+3*x^3+x-1) ogf] A373655 9.54333 [-(-8*x^3-1)/(x^12-4*x^9+6*x^6+x^4-4*x^3-x+1) lgdogf] A373662 13.5016 [-(2*x^4-3*x^3+3*x+2)/(1+x)^2/(x-1)^3 ogf] A373662 7.76642 [-(2*x^5-4*x^4+5*x^3+3*x^2+13*x+5)/(2*x^6-3*x^5-2*x^4+6*x^3+2*x^2-3*x-2) lgdogf] A373663 11.8576 [-(x^4+2*x^3-7*x^2+2*x+6)/(1+x)^2/(x-1)^3 ogf] A373663 8.08980 [-(x^5+5*x^4-15*x^3+7*x^2+18*x+8)/(x^6+2*x^5-8*x^4+13*x^2-2*x-6) lgdogf] A373667 12.5727 [I*(-4*x^2-1)/(x^2-1)^(7/2) lgdegf] A373668 9.68326 [-(-5*x^2-1)/(x^8-4*x^6+6*x^4-4*x^2+1) lgdegf] A373680 11.2050 [-(5*x^3+1)/(x^9-3*x^6+3*x^3-1) lgdegf] A373680 13.5306 [exp(x/(x-1)^2/(x^2+x+1)^2) egf] A373681 8.08248 [-(2*x^5-4*x^3+3*x^2+2*x+1)/(x^6-3*x^4+3*x^2-1) lgdegf] A373681 8.81725 [-1/(x-1)/(1+x)*exp(x/(1+x)^2/(x-1)^2) egf] A373682 7.15462 [-(2*x^7-6*x^5+6*x^3-5*x^2-2*x-1)/(x^8-4*x^6+6*x^4-4*x^2+1) lgdegf] A373682 8.83287 [-1/(x-1)/(1+x)*exp(-x/(x-1)^3/(1+x)^3) egf] A373683 10.6823 [-(2*x^3-x^2-2*x-1)/(x^4-2*x^2+1) lgdegf] A373683 8.96783 [-1/(x-1)/(1+x)*exp(-x/(x-1)/(1+x)) egf] A373684 7.20181 [-1/(x-1)/(x^2+x+1)*exp(-x/(x-1)/(x^2+x+1)) egf] A373684 9.70243 [-(3*x^5-2*x^3-3*x^2-1)/(x^6-2*x^3+1) lgdegf] A373685 7.81069 [-1/(x^2+x+1)/(x-1)*exp(x/(x-1)^2/(x^2+x+1)^2) egf] A373685 8.25448 [-(3*x^8-6*x^5+5*x^3+3*x^2+1)/(x^9-3*x^6+3*x^3-1) lgdegf] A373706 12.1372 [-(9*x^8+10*x^4+1)/(x^9+2*x^5+x-1) lgdogf] A373706 20.4259 [-1/(x^9+2*x^5+x-1) ogf] A373707 12.6557 [exp(x*(1+x)^2*(x^2-x+1)^2) egf] A373708 19.9993 [exp(x*(x^4+1)^2) egf] A373713 6.03184 [-(9*(9*x+1)^(1/3)*x+4*(9*x+1)^(2/3)+18*x+(9*x+1)^(1/3)+2)/(9*x-7)/(9*x+1)^(2/3) ogf] A373713 6.65193 [(-12*(9*x+1)^(2/3)+(-27*x-3)*(9*x+1)^(1/3)-54*x-6)/(9*x+1)^(4/3)/(9*x-7) lgdogf] A373715 7.97348 [-6*(16*x^2+2*(4*x+1)^(1/2)+8*x+1)/(64*x^3+48*x^2+12*x-3) lgdogf] A373715 9.23245 [-(2+((4*x+1)^3)^(1/2))/(64*x^3+48*x^2+12*x-3) ogf] A373718 16.0353 [-1/(x^7+3*x^5+3*x^3+x-1) ogf] A373718 9.24391 [-(7*x^6+15*x^4+9*x^2+1)/(x^7+3*x^5+3*x^3+x-1) lgdogf] A373720 17.8677 [7*x^6+15*x^4+9*x^2+1 lgdegf] A373720 19.7993 [exp(x*(x^2+1)^3) egf] A373733 10.1482 [-(30*x^2+30*x+10)/(6*x^3-3*x^2-2*x-1) lgdogf] A373733 13.8761 [-x*(6*x^2+3*x+1)/(x-1)^7 ogf] A373733 5.81136 [{(-n^3-6*n^2-11*n-12)*a(n)+(n^3+2*n)*a(n+1) a(0) = 0 a(1) = 1} ogf] A373740 17.1935 [exp(1/2*x^2*(1+x)) egf] A373740 25.1762 [x+3/2*x^2 lgdegf] A373741 14.1673 [1/2*x*(5*x+2)*(1+x)^2 lgdegf] A373741 16.5860 [exp(1/2*x^2*(1+x)^3) egf] A373742 19.5486 [1/2*x^2+2/3*x^3 lgdegf] A373743 15.4909 [5/6*x^4+4/3*x^3+1/2*x^2 lgdegf] A373743 18.1356 [exp(1/6*x^3*(1+x)^2) egf] A373750 7.82136 [-x^2*(x^7-x^4-4*x^3-x-1)/(x-1)^2/(1+x)^2/(x^2+1)^2 ogf] A373757 10.2098 [-(-x^3+3*x^2)/(6*x^3-18*x^2+18*x-6) lgdegf] A373757 16.4352 [exp(1/6/(x-1)^2*x^3) egf] A373758 10.3748 [-(-x^4+2*x^3)/(12*x^3-36*x^2+36*x-12) lgdegf] A373759 15.8231 [exp(-1/24/(x-1)^3*x^4) egf] A373759 8.52018 [-(x^4-4*x^3)/(24*x^4-96*x^3+144*x^2-96*x+24) lgdegf] A373770 11.9081 [-1/(x-1)*exp(-1/2/(x-1)*x^2) egf] A373770 13.9691 [-(x^2-2)/(2*x^2-4*x+2) lgdegf] A373771 10.6078 [-1/(x-1)*exp(-1/2*x^2/(x-1)^3) egf] A373771 7.98862 [-(2*x^3-7*x^2+4*x-2)/(2*x^4-8*x^3+12*x^2-8*x+2) lgdegf] A373772 10.5095 [-(2*x^3-3*x^2+6*x-6)/(6*x^2-12*x+6) lgdegf] A373772 11.1986 [-1/(x-1)*exp(-1/6/(x-1)*x^3) egf] A373773 11.8574 [-1/(x-1)*exp(1/6/(x-1)^2*x^3) egf] A373773 9.64404 [-(-x^3+9*x^2-12*x+6)/(6*x^3-18*x^2+18*x-6) lgdegf] A373791 5.42263 [x^34+x^22+x^16+x^14+x^12+x^11+x^10+x^7+x^4+x^3+1 ogf] A373816 6.26884 [6*(1+2*(-64*x^3+48*x^2-12*x+1)^(1/2))/(256*x^3-192*x^2+48*x-3)/(4*x-1) lgdogf] A373816 7.05245 [(32*x^2+(-4*x+1)^(1/2)-16*x+2)/(256*x^3-192*x^2+48*x-3)*(4*x-1) ogf] A373831 10.5511 [x*(2*x^4+x^3+x^2+2*x+3)/(x^2+x+1)/(x^2-x+1)/(x-1)^2 ogf] A373868 15.2669 [-(x^31-x^30+x-2)/(x-1)^2 ogf] A373868 7.99697 [-(-29*x^31+59*x^30-30*x^29+x-3)/(x^32-2*x^31+x^30+x^2-3*x+2) lgdogf] A373890 7.49112 [-(x-1)^7/(x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-9*x+1) ogf] A373904 9.56145 [-(x-1)^5/(x^3-3*x^2+4*x-1)/(x^3-3*x^2+2*x-1) ogf] A373905 9.53885 [-(x-1)^5/(x^2-3*x+1)/(x^4-3*x^3+5*x^2-3*x+1) ogf] A373906 10.4049 [-(x-1)^5/(x^3-4*x^2+3*x-1)/(x^3-2*x^2+3*x-1) ogf] A373907 7.96298 [-(x-1)^6/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A373908 8.68619 [-(x-1)^6/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-20*x^2+7*x-1) ogf] A373909 8.56031 [-(x-1)^6/(x^7-7*x^6+21*x^5-35*x^4+36*x^3-21*x^2+7*x-1) ogf] A373910 8.72275 [-(x-1)^6/(x^7-7*x^6+21*x^5-34*x^4+35*x^3-21*x^2+7*x-1) ogf] A373911 8.83527 [-(x-1)^6/(x^2-x+1)/(x^5-6*x^4+15*x^3-14*x^2+6*x-1) ogf] A373912 8.82844 [-(x-1)^6/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A373913 7.94511 [-(x-1)^7/(x^8-9*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1) ogf] A373928 8.71160 [(x-1)/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A373929 8.24865 [-(x-1)^2/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A373930 8.59943 [(x-1)^3/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A373931 8.10582 [-(x-1)^4/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A373932 8.37510 [(x-1)^5/(x^7-7*x^6+21*x^5-35*x^4+35*x^3-21*x^2+8*x-1) ogf] A373933 9.00259 [(x-1)^5/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A373934 8.26609 [-x*(x-1)^4/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A373935 8.55835 [x^2*(x-1)^3/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A373936 8.15233 [-x^3*(x-1)^2/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A373937 8.43949 [x^4*(x-1)/(x^7-6*x^6+21*x^5-35*x^4+35*x^3-21*x^2+7*x-1) ogf] A373952 10.5761 [x^3*(x^2+2*x+3)/(1+x)/(x^2+x+1)/(x-1)^2 ogf] A373952 7.02039 [-(3*x^5+11*x^4+25*x^3+21*x^2+10*x+2)/(x^6+3*x^5+5*x^4+2*x^3-3*x^2-5*x-3) lgdogf] A373958 10.0378 [(x-1)^2/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-7*x+1) ogf] A373959 9.45544 [-(x-1)^3/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-7*x+1) ogf] A373960 9.82604 [(x-1)^4/(x^6-6*x^5+15*x^4-20*x^3+15*x^2-7*x+1) ogf] A373961 10.4398 [(x-1)^4/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf] A373962 9.44560 [-x*(x-1)^3/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf] A373963 9.65341 [x^2*(x-1)^2/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf] A373964 9.06778 [-x^3*(x-1)/(x^6-7*x^5+15*x^4-20*x^3+15*x^2-6*x+1) ogf] A374004 11.5353 [-(7*x^4-7*x^3-10*x^2+7*x+7)/(1+x)^2/(x-1)^3 ogf] A374004 7.29583 [-(7*x^5-7*x^4-9*x^3-3*x^2+22*x+14)/(7*x^6-7*x^5-17*x^4+14*x^3+17*x^2-7*x-7) lgdogf] A374005 11.5403 [-(6*x^4+2*x^3-21*x^2+2*x+15)/(1+x)^2/(x-1)^3 ogf] A374005 7.79750 [-(6*x^5+10*x^4-37*x^3-7*x^2+35*x+17)/(6*x^6+2*x^5-27*x^4+36*x^2-2*x-15) lgdogf] A374007 10.8912 [-(16*x^4-11*x^3-28*x^2+11*x+16)/(1+x)^2/(x-1)^3 ogf] A374008 11.2298 [-(15*x^4+2*x^3-43*x^2+2*x+28)/(1+x)^2/(x-1)^3 ogf] A374008 7.48656 [-(15*x^5+19*x^4-67*x^3-29*x^2+56*x+30)/(15*x^6+2*x^5-58*x^4+71*x^2-2*x-28) lgdogf] A374009 11.0432 [-(29*x^4-15*x^3-54*x^2+15*x+29)/(1+x)^2/(x-1)^3 ogf] A374010 11.4378 [-(28*x^4+2*x^3-73*x^2+2*x+45)/(1+x)^2/(x-1)^3 ogf] A374010 7.42968 [-(28*x^5+32*x^4-105*x^3-59*x^2+81*x+47)/(28*x^6+2*x^5-101*x^4+118*x^2-2*x-45) lgdogf] A374011 10.9889 [-(46*x^4-19*x^3-88*x^2+19*x+46)/(1+x)^2/(x-1)^3 ogf] A374012 34.6435 [-2/(x-1) lgdogf] A374012 46.1913 [1/(x-1)^2 ogf] A374014 17.0469 [-(-256*x^15-16)/(x^16+x+1) lgdogf] A374016 10.7835 [(16*x^15+1)/(x^16+x+1) lgdogf] A374018 18.0730 [-2*x/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A374019 16.6851 [-2*x^2/(x-1)/(x+1)/(x^2+1) ogf_with_Euler_transform] A374055 7.33490 [-(3405*x^11+913*x^9+247*x^7+75*x^5+44*x^4+9*x^3+4*x^2+3*x+1)/(x^2+x-1) ogf] A374058 11.9564 [(x^2+1)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A374060 11.5657 [x*(x+1)/(x-1)/(x^2+x+1) ogf_with_Euler_transform] A374064 7.37511 [x*(x^3-x^2+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A374065 8.14923 [(x^3-x+1)/(x-1)/(x+1)/(x^2+x+1)/(x^2-x+1) ogf_with_Euler_transform] A374080 15.6445 [x^2/(x-1)/(x^2+1) ogf_with_Euler_transform] A374081 11.3312 [(x^2-x+1)/(x-1)/(x^2+1) ogf_with_Euler_transform] A374083 10.5179 [-(2*x^3+42*x^2+78*x+18)/(x^4+12*x^3-12*x-1) lgdogf] A374083 13.9633 [-(1+x)*(x^2+12*x+1)/(x-1)^5 ogf] A374084 13.1329 [-(2*x^3-3*x^2+2*x+3)/(1+x)^2/(x-1)^3 ogf] A374084 9.48491 [-(4*x^4-7*x^3+11*x^2+11*x+5)/(2*x^5-3*x^4+6*x^2-2*x-3) lgdogf] A374096 11.4638 [-(8*x^3+15*x^2-4)/(2*x^4+5*x^3-4*x+1) lgdogf] A374096 16.1428 [1/(2*x^2+3*x-1)/(x^2+x-1) ogf] A374098 7.14215 [-(2*x^4+2*x^3-x^2-x-1)/(x-1)/(1+x)/(2*x^2+1)/(2*x-1)/(2*x+1) ogf] A374134 24.7940 [-1/(x-1)/(1+x) ogf] A374134 25.4828 [-2*x/(x^2-1) lgdogf] A374136 24.7940 [-1/(x-1)/(1+x) ogf] A374136 25.4828 [-2*x/(x^2-1) lgdogf] A374137 24.3350 [-(x+3)/(x^2-1) lgdogf] A374137 32.4465 [(1+x)/(x-1)^2 ogf] A374139 9.72931 [-(x^4-x^3+x^2+1)/(x-1)/(x^2+1)^2 ogf] A374157 13.2873 [-x*(x^2+2*x-1)/(x^2+1)^2 ogf] A374157 7.11340 [{(n+2)*a(n)+n*a(n+2) a(0) = 0 a(1) = 1 a(2) = -2} ogf] A374157 9.78092 [-(2*x^3+6*x^2-6*x-2)/(x^4+2*x^3+2*x-1) lgdogf] A374165 9.69020 [-(x-1)*(2*x-1)*(4*x-1)/(3*x^4-18*x^3+20*x^2-8*x+1) ogf] A374224 10.1422 [-x*(1+x)*(x^5-4*x^4+8*x^3-7*x^2+3)/(x-1)^3 ogf] A374243 7.06546 [-x^4*(x^5+x^4+x^2+1)/(1+x)/(x^2-x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A374259 11.0317 [-(2*x^3-8*x^2+8*x+3)/(x^4-4*x^3+2*x^2+5*x-2) lgdogf] A374259 15.4830 [-2*(x-2)/(1+x)/(x^2-3*x+1) ogf] A374259 7.81004 [{a(n)-2*a(n+1)-2*a(n+2)+a(n+3) a(0) = 4 a(1) = 6 a(2) = 20} ogf] A374298 8.77769 [-2*(1+x)*(x^3+x-1)/(x^2+2*x-1)/(x^2+3*x-1) ogf] A374337 11.1554 [(6*x^5-11*x^4-9*x^3-8*x^2-5*x-3)/(x^2+x+1)/(x-1)^3 ogf] A374338 10.3197 [-(3*x^4+2*x^3+12*x^2+6*x+4)/(x^5+2*x^3-x^2-2) lgdogf] A374338 14.3799 [-2*(x^2+2)/(x^2+x+1)/(x-1)^3 ogf] A374339 10.7250 [2*(3*x^5-5*x^4-5*x^3-5*x^2-3*x-3)/(x^2+x+1)/(x-1)^3 ogf] A374347 13.0057 [exp(1/3*x*(x^8+3*x^2+9)) egf] A374347 21.5407 [3*x^8+3*x^2+3 lgdegf] A374359 0 11.6870 [{-n*a(n)+n*a(n+1) a(0) = 2 a(1) = 5} ogf] A374359 25.2662 [-(3*x+2)/(x-1) ogf] A374359 25.9681 [-5/(3*x^2-x-2) lgdogf] A374384 11.8020 [(2*x+1)*(x^3+3*x^2+7*x+1)/(1+x)/(x-1)^4 ogf] A374397 14.5381 [-2*(23*x^3+123*x^2+45*x+1)/(x-1)^5 ogf] A374397 9.10630 [-(46*x^3+438*x^2+426*x+50)/(23*x^4+100*x^3-78*x^2-44*x-1) lgdogf] A374450 8.17232 [-(315*x^3-1173*x^2+245*x-59)/(x-1)/(15*x-1)/(3*x-1)/(7*x-1) ogf] A374454 15.3714 [-1/(x^4+4*x^3+6*x^2+4*x-1) ogf] A374454 9.18534 [-(4*x^3+12*x^2+12*x+4)/(x^4+4*x^3+6*x^2+4*x-1) lgdogf] A374455 13.0202 [-1/(x^5+5*x^4+10*x^3+10*x^2+5*x-1) ogf] A374455 7.60589 [-(5*x^4+20*x^3+30*x^2+20*x+5)/(x^5+5*x^4+10*x^3+10*x^2+5*x-1) lgdogf] A374487 13.7183 [-1/(-7*x^2-2*x+1)^(1/2)/(7*x^2+2*x-1) ogf] A374487 15.9580 [-(21*x+3)/(7*x^2+2*x-1) lgdogf] A374488 12.2274 [-1/(-11*x^2-2*x+1)^(1/2)/(11*x^2+2*x-1) ogf] A374488 14.4283 [-(33*x+3)/(11*x^2+2*x-1) lgdogf] A374489 14.8562 [-(23*x^3+51*x^2+21*x+1)/(x-1)^5 ogf] A374489 9.24391 [-(46*x^3+222*x^2+186*x+26)/(23*x^4+28*x^3-30*x^2-20*x-1) lgdogf] A374497 13.3255 [-1/(-4*x^2-4*x+1)^(1/2)/(4*x^2+4*x-1) ogf] A374497 15.5011 [-(12*x+6)/(4*x^2+4*x-1) lgdogf] A374506 14.9120 [-(21*x+7)/(3*x^2+2*x-1) lgdogf] A374506 15.5464 [-I/((1+x)*(3*x-1))^(7/2) ogf] A374508 14.7062 [-(25*x-5)/(5*x^2-2*x+1) lgdogf] A374508 21.8364 [1/(5*x^2-2*x+1)^(5/2) ogf] A374509 15.0289 [-(35*x-7)/(5*x^2-2*x+1) lgdogf] A374509 22.3156 [1/(5*x^2-2*x+1)^(7/2) ogf] A374511 14.9876 [-(20*x+10)/(4*x^2+4*x-1) lgdogf] A374511 19.2149 [I/(4*x^2+4*x-1)^(5/2) ogf] A374512 10.6274 [-(8*x^3+12*x^2+4*x)/(2*x^4+4*x^3+2*x^2-1) lgdogf] A374512 17.2399 [-1/(2*x^4+4*x^3+2*x^2-1) ogf] A374513 13.2132 [-(28*x+14)/(4*x^2+4*x-1) lgdogf] A374513 16.9400 [-I/(4*x^2+4*x-1)^(7/2) ogf] A374563 13.2131 [(-1/2+1/2*(4*x+1)^(1/2))/(x^2+1) revogf] A374584 10.9335 [-(x^4+x^3+10*x^2+x+1)/(1+x)^2/(x-1)^3 ogf] A374584 7.56150 [-(x^5+3*x^4+35*x^3+17*x^2+26*x+2)/(x^6+x^5+9*x^4-9*x^2-x-1) lgdogf] A374598 14.2619 [-(12*x^2+2)/(8*x^3+4*x-1) lgdogf] A374598 22.9054 [1/(-8*x^3-4*x+1)^(1/2) ogf] A374599 13.6471 [-(16*x^3+2)/(8*x^4+4*x-1) lgdogf] A374599 21.9181 [1/(-8*x^4-4*x+1)^(1/2) ogf] A374622 6.49045 [-2*(2*x^8-x^7-x^5-x^3+4*x^2+x+4)/(1+x)^2/(x^2+1)^2/(x-1)^3 ogf] A374624 10.6782 [(x^8-x^5+2*x^4-2*x^3-4*x^2+2*x-1)/(x-1) ogf] A374649 10.9412 [-(3*x^2-2*x+5)/(3*x^3-7*x^2+7*x-3) lgdegf] A374649 15.5608 [-(3*x^2-4*x+3)/(x-1)^3 egf] A374649 6.48370 [{(-n^3-4*n^2-8*n-5)*a(n)+(n^2+n+3)*a(n+1) a(0) = 3} ogf] A374650 13.6605 [(4*x^3-9*x^2+10*x+1)/(x-1)^4 egf] A374650 8.13126 [-(4*x^3-6*x^2+12*x+14)/(4*x^4-13*x^3+19*x^2-9*x-1) lgdegf] A374702 6.87085 [-(4*x^5+10*x^4+22*x^3+21*x^2+12*x+3)/(x^6+2*x^5+3*x^4+x^3-2*x^2-3*x-2) lgdogf] A374702 9.83974 [-x^3*(x^2+x+2)/(1+x)/(x^2+x+1)/(x-1)^3 ogf] A374709 9.87131 [x*(4*x^5+35*x^4+68*x^3+56*x^2+16*x+1)/(1+x)^2/(x-1)^6 ogf] A374721 14.9772 [-(5*x^2-1)/(3*x-1)/(3*x^2-1) ogf] A374721 7.62232 [{9*a(n)-3*a(n+1)-3*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 7} ogf] A374721 9.17958 [-(45*x^4-12*x^2-4*x+3)/(45*x^5-15*x^4-24*x^3+8*x^2+3*x-1) lgdogf] A374722 11.4959 [-(5*x^3+11*x^2-x-1)/(5*x-1)/(5*x^2-1) ogf] A374722 7.45111 [-(300*x^4-30*x^2-12*x+6)/(125*x^6+250*x^5-105*x^4-70*x^3+21*x^2+4*x-1) lgdogf] A374725 5.21920 [-11/(11*x-1) lgdogf] A374725 6.02214 [-1/(11*x-1) ogf] A374749 11.3046 [-(27*x^2-16*x-2)/(9*x^3-8*x^2-2*x+1) lgdogf] A374749 15.2266 [9*x/(x-1)/(9*x^2+x-1) ogf] A374749 6.66164 [{9*a(n)-8*a(n+1)-2*a(n+2)+a(n+3) a(0) = 0 a(1) = 9 a(2) = 18} ogf] A374866 6.94594 [{(-27*n^2-108*n-96)*a(n)+a(n+2) a(0) = 2 a(1) = 15} ogf] A374882 25.2908 [1/(1-9*x)^(2/3) lgdegf] A374882 9.19663 [exp(1/3)*exp(1/3*(9*x-1)*(1/(9*x-1)^2)^(1/3)) egf] A374900 9.03993 [(2*x^5+x^3+x^2+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A374927 7.11069 [-(2*x^5-x^3+2*x^2-x-1)/(x-1)/(1+x)/(2*x^2+1)/(2*x+1)/(2*x-1) ogf] A374933 14.0701 [(x^6-x^3+2*x^2-3*x+9)/(x-1)^2 ogf] A374933 7.03508 [-(-4*x^6+6*x^5+x^3-3*x^2+x+15)/(x^7-x^6-x^4+3*x^3-5*x^2+12*x-9) lgdogf] A374949 9.06763 [-(570523909725435401*x-605185576317848261)/(x-1)^2 ogf] A375021 14.3933 [1/(x^4+2*x^3+3*x^2-2*x+1)^(1/2) ogf] A375021 8.81590 [-(2*x^3+3*x^2+3*x-1)/(x^4+2*x^3+3*x^2-2*x+1) lgdogf] A375026 12.2306 [1/2/(3*x+2)*(-6*x+1+3*(4*x^2+1)^(1/2)) ogf] A375026 7.03534 [-3/2*(4*x^2+(16*x^4+48*x^3+40*x^2+12*x+9)^(1/2)+1)/(12*x^3+8*x^2+3*x+2) lgdogf] A375061 9.80545 [-(2*x^3+3*x^2+x-1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375062 10.7166 [-(2*x^3+x+2)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375063 10.5381 [-(2*x^3+x^2+x+1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375064 11.4417 [-x*(2*x^2+2*x+1)/(x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375086 8.45591 [(-4*x^2+(-(4*x-1)*(2*x-1)^2)^(1/2)+x)/(4*x-1)*x/(2*x-1) ogf] A375094 9.43537 [-(2*x^23+7*x^20+9*x^19+2*x^16+x^8+3*x^7+x+2)/(x-1) ogf] A375098 9.34304 [-(x^5+3*x^4+x^3-11*x^2-9*x-3)/(x^6-14*x^3+1) ogf] A375101 7.92197 [(4*x^4+3*x^3+x^2+1)/(x-1)/(10*x-1)/(1+x)/(x^2-x+1) ogf] A375106 7.60725 [(2*x^5+x^4+x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375107 7.57532 [x^2*(2*x^3+2*x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375108 6.46217 [(2*x^5+3*x^4+3*x^3+x^2-x-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375116 10.4837 [(2*x^8+x^6+x^5+x^3-6*x^2+9*x+16)/(1+x)/(x-1)^2 ogf] A375148 8.99235 [(2*x^5+x^4+x^2+2*x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375149 8.08788 [(2*x^5+x^4+2*x^3+x^2+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375150 7.72233 [x*(2*x^4+2*x^3+x^2+x+1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375155 10.5961 [-(292*x^2-588*x+295)/(292*x^3-732*x^2+587*x-147) lgdogf] A375155 15.5941 [-(146*x-147)/(2*x-1)/(x-1) ogf] A375155 9.61036 [{2*a(n)-3*a(n+1)+a(n+2) a(0) = 147 a(1) = 295} ogf] A375158 7.89037 [x*(2*x^4+2*x^3+x+2)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375159 7.53955 [(2*x^5+3*x^4+2*x^3+x^2-1)/(x^6+x^5+x^4+x^3+x^2+x+1) ogf_with_Euler_transform] A375163 9.67760 [-1/(x^7-7*x^6-21*x^5-35*x^4-35*x^3-21*x^2-7*x-1) ogf] A375164 15.9848 [-1/(x^4+4*x^3-6*x^2+4*x-1) ogf] A375164 9.55191 [-(4*x^3+12*x^2-12*x+4)/(x^4+4*x^3-6*x^2+4*x-1) lgdogf] A375165 11.8752 [-1/(x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) ogf] A375165 6.78586 [-(6*x^5+30*x^4-60*x^3+60*x^2-30*x+6)/(x^6+6*x^5-15*x^4+20*x^3-15*x^2+6*x-1) lgdogf] A375169 14.3169 [(x-1)/(x^4+x^3-3*x^2+3*x-1) ogf] A375169 9.27350 [-(3*x^4-2*x^3-6*x^2+6*x-2)/(x^5-4*x^3+6*x^2-4*x+1) lgdogf] A375172 11.7727 [-1/(x-1)*exp(-x^2/(x-1)^3) egf] A375172 8.38805 [-(x^3-4*x^2+x-1)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A375173 22.2971 [1/(1-4*x)^(3/2) lgdegf] A375174 22.9692 [1/(1-9*x)^(4/3) lgdegf] A375177 11.9841 [1/(-4*x+1)^(1/2)*(4*x^3+6*x^2-5*x+1)/(4*x-1)^2 ogf] A375177 9.16434 [-(-8*x^3+24*x^2-18*x+5)/(16*x^4+20*x^3-26*x^2+9*x-1) lgdogf] A375185 9.50403 [-(x^5+x^3+x^2+x+1)/(x^6-x^5+x^4+x-1) ogf] A375186 8.76138 [-(x^5+x^4+x^2+x+1)/(x^6-x^4+x^3+x-1) ogf] A375203 6.83454 [-x*(235*x^7+20*x^6+124*x^5+130*x^4+48*x^3+43*x^2+12*x+3)/(2*x^2-1)/(2*x^2+1) ogf] A375204 8.06542 [-x*(1+x)*(x^6+x^5+x^4+2*x^3+2*x^2+x+1)/(2*x^4-1) ogf] A375218 8.98894 [(x^3+x^2-1)/(x^3-x^2-2*x-1)^(3/2)/(x^3-x^2+2*x-1)^(3/2) ogf] A375224 12.9438 [1/(x-1)^2*exp(-x^2/(x-1)^3) egf] A375224 8.57528 [-(2*x^3-7*x^2+4*x-2)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A375225 12.4033 [-1/(x-1)^3*exp(-x^2/(x-1)^3) egf] A375225 8.72830 [-(3*x^3-10*x^2+7*x-3)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A375226 12.4916 [exp(-x^3/(x-1)^3)/(x-1)^2 egf] A375226 8.27570 [-(2*x^3-9*x^2+6*x-2)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A375227 10.4863 [-exp(-x^3/(x-1)^3)/(x-1)^3 egf] A375227 7.37927 [-(3*x^3-12*x^2+9*x-3)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A375242 8.39010 [(x^5+x^4+2*x^3+x^2+2*x+2)/(x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A375248 10.9247 [-(18*x^2-16*x-6)/(3*x^3-x^2-3*x+1) lgdogf] A375248 12.2208 [I*(x-1)/(3*x-1)^(7/2)/(1+x)^(7/2) ogf] A375253 8.64830 [1/2*I*(-2*x+1+I)*(2*x-1+I)/(3*x-1)^(7/2)/(1+x)^(7/2) ogf] A375253 8.64831 [-(30*x^3-30*x^2+15*x+5)/(6*x^4-2*x^3-3*x^2+4*x-1) lgdogf] A375255 16.5501 [1/(x^4+2*x^3+3*x^2-2*x+1) ogf] A375255 9.30946 [-(4*x^3+6*x^2+6*x-2)/(x^4+2*x^3+3*x^2-2*x+1) lgdogf] A375256 12.5146 [3*(x^2+3*x-1)/(x-1)/(2*x-1)/(4*x-1) ogf] A375256 7.50877 [{-8*a(n)+14*a(n+1)-7*a(n+2)+a(n+3) a(0) = 3 a(1) = 12 a(2) = 39} ogf] A375256 8.38359 [-(8*x^4+48*x^3-73*x^2+30*x-4)/(8*x^5+10*x^4-43*x^3+34*x^2-10*x+1) lgdogf] A375259 7.34405 [-(72*x^4-114*x^3+54*x^2-18*x-6)/(12*x^5-10*x^4-7*x^3+9*x^2-5*x+1) lgdogf] A375259 9.57513 [-I*(x-1)*(4*x^2-2*x+1)/(3*x-1)^(9/2)/(1+x)^(9/2) ogf] A375260 6.86694 [-(84*x^4-128*x^3+48*x^2-24*x-4)/(21*x^5-13*x^4-16*x^3+12*x^2-5*x+1) lgdogf] A375260 9.12693 [I*(x-1)*(7*x^2-2*x+1)/(3*x-1)^(7/2)/(1+x)^(7/2) ogf] A375273 16.8831 [1/(4*x^4-4*x^3-3*x^2-2*x+1) ogf] A375273 9.26515 [-(16*x^3-12*x^2-6*x-2)/(4*x^4-4*x^3-3*x^2-2*x+1) lgdogf] A375275 11.0812 [(x^2-x+1)/(x^4+2*x^3+3*x^2-2*x+1) ogf] A375275 6.92578 [-(2*x^5-x^4+5*x^2+4*x-1)/(x^6+x^5+2*x^4-3*x^3+6*x^2-3*x+1) lgdogf] A375276 10.8603 [-(8*x^3-12*x^2-2)/(4*x^4-8*x^3-4*x+1) lgdogf] A375276 18.2771 [1/(4*x^4-8*x^3-4*x+1)^(1/2) ogf] A375278 12.0495 [1/(x^3+2*x^2+x-1)/(x^3-2*x^2+x-1) ogf] A375278 8.15852 [-(6*x^5-8*x^3-6*x^2+2*x-2)/(x^6-2*x^4-2*x^3+x^2-2*x+1) lgdogf] A375279 8.95457 [-(x^3+x-1)/(x^3+2*x^2+x-1)/(x^3-2*x^2+x-1) ogf] A375282 9.16929 [-(x^4+x-1)/(x^4+2*x^2-x+1)/(x^4-2*x^2-x+1) ogf] A375283 12.5698 [1/(x^4+2*x^2-x+1)/(x^4-2*x^2-x+1) ogf] A375283 8.42312 [-(8*x^7-10*x^4-8*x^3+2*x-2)/(x^8-2*x^5-2*x^4+x^2-2*x+1) lgdogf] A375285 8.14820 [-(10*x^9-12*x^5-10*x^4+2*x-2)/(x^10-2*x^6-2*x^5+x^2-2*x+1) lgdogf] A375285 9.58610 [1/(x^3-x^2+2*x-1)/(x^5-2*x^3+x-1)/(x^2+x+1) ogf] A375288 14.4226 [1/(x^6+2*x^4+2*x^3+x^2-2*x+1) ogf] A375288 7.96250 [-(6*x^5+8*x^3+6*x^2+2*x-2)/(x^6+2*x^4+2*x^3+x^2-2*x+1) lgdogf] A375289 10.5051 [(x^3-x+1)/(x^6+2*x^4+2*x^3+x^2-2*x+1) ogf] A375290 14.3755 [1/(x^8+2*x^5+2*x^4+x^2-2*x+1) ogf] A375290 7.85468 [-(8*x^7+10*x^4+8*x^3+2*x-2)/(x^8+2*x^5+2*x^4+x^2-2*x+1) lgdogf] A375291 10.0413 [(x^4-x+1)/(x^8+2*x^5+2*x^4+x^2-2*x+1) ogf] A375292 13.2400 [1/(x^6+2*x^4+2*x^3+x^2-2*x+1)^(1/2) ogf] A375292 7.86127 [-(3*x^5+4*x^3+3*x^2+x-1)/(x^6+2*x^4+2*x^3+x^2-2*x+1) lgdogf] A375293 12.5081 [1/(x^8+2*x^5+2*x^4+x^2-2*x+1)^(1/2) ogf] A375293 7.42675 [-(4*x^7+5*x^4+4*x^3+x-1)/(x^8+2*x^5+2*x^4+x^2-2*x+1) lgdogf] A375307 10.2035 [(3*x^2+x-1)/(x^5-3*x^4+3*x^3+5*x^2+2*x-1) ogf] A375308 7.59920 [-(x^3+6*x^2+x-1)/(x^3-2*x^2-3*x-1)/(x^3-2*x^2+5*x-1) ogf] A375309 7.11644 [-x^2*(3*x^3-5*x^2-x+1)/(x-1)/(3*x-1)/(2*x+1)/(5*x^2-1) ogf] A375314 11.4990 [-1/(x^3+2*x^2+x-1)/(x^3+2*x^2+x+1) ogf] A375314 7.41524 [-(6*x^5+20*x^4+24*x^3+12*x^2+2*x)/(x^6+4*x^5+6*x^4+4*x^3+x^2-1) lgdogf] A375315 12.9437 [-(1+x)/(x^5+3*x^4+3*x^3+x^2-1) ogf] A375315 7.31603 [-(4*x^5+14*x^4+18*x^3+10*x^2+2*x+1)/(x^6+4*x^5+6*x^4+4*x^3+x^2-x-1) lgdogf] A375316 9.88251 [-(1+x)/(x^3+2*x^2+x-1)/(x^3+2*x^2+x+1) ogf] A375317 12.6250 [-(1+x)^2/(x^5+3*x^4+3*x^3+x^2-1) ogf] A375317 7.19847 [-(3*x^5+11*x^4+15*x^3+9*x^2+2*x+2)/(x^6+4*x^5+6*x^4+4*x^3+x^2-x-1) lgdogf] A375318 13.5731 [-1/(x^7+4*x^6+6*x^5+4*x^4+x^3-1) ogf] A375318 7.45914 [-(7*x^6+24*x^5+30*x^4+16*x^3+3*x^2)/(x^7+4*x^6+6*x^5+4*x^4+x^3-1) lgdogf] A375319 10.0403 [-(1+x)/(x^2+x-1)/(x^4+2*x^3+2*x^2+x+1) ogf] A375319 6.83422 [-(5*x^6+18*x^5+24*x^4+14*x^3+3*x^2+1)/(x^7+4*x^6+6*x^5+4*x^4+x^3-x-1) lgdogf] A375320 11.1619 [-(1+x)/(x^7+4*x^6+6*x^5+4*x^4+x^3-1) ogf] A375321 10.0191 [-(1+x)^2/(x^2+x-1)/(x^4+2*x^3+2*x^2+x+1) ogf] A375321 6.81978 [-(4*x^6+15*x^5+21*x^4+13*x^3+3*x^2+2)/(x^7+4*x^6+6*x^5+4*x^4+x^3-x-1) lgdogf] A375352 11.4566 [-(x^4+6*x^3+14*x^2+6*x+1)/(1+x)^2/(x-1)^3 ogf] A375352 7.70721 [-(x^5+13*x^4+52*x^3+56*x^2+39*x+7)/(x^6+6*x^5+13*x^4-13*x^2-6*x-1) lgdogf] A375362 12.1550 [-1/(1+x)/(x^4+3*x^3+3*x^2+x-1) ogf] A375362 8.23847 [-(5*x^4+16*x^3+18*x^2+8*x)/(x^5+4*x^4+6*x^3+4*x^2-1) lgdogf] A375363 12.0993 [-1/(x^4+3*x^3+3*x^2+x-1)/(1+x)^2 ogf] A375363 7.85170 [-(6*x^4+19*x^3+21*x^2+9*x-1)/(x^5+4*x^4+6*x^3+4*x^2-1) lgdogf] A375364 12.3326 [-1/(1+x)/(x^5+3*x^4+3*x^3+x^2-1) ogf] A375364 6.97064 [-(6*x^5+20*x^4+24*x^3+12*x^2+2*x-1)/(x^6+4*x^5+6*x^4+4*x^3+x^2-x-1) lgdogf] A375365 12.6476 [-1/(x^5+3*x^4+3*x^3+x^2-1)/(1+x)^2 ogf] A375365 7.14865 [-(7*x^5+23*x^4+27*x^3+13*x^2+2*x-2)/(x^6+4*x^5+6*x^4+4*x^3+x^2-x-1) lgdogf] A375371 10.3501 [-(5*x^3+11*x^2+7*x-1)/(x^4+3*x^3+3*x^2-1) lgdogf] A375371 15.0369 [-1/(x^3+2*x^2+x-1)/(1+x)^2 ogf] A375372 12.7080 [-1/(1+x)/(x^2+x+1)/(x^2+x-1) ogf] A375372 8.51572 [-(5*x^4+12*x^3+9*x^2+2*x-1)/(x^5+3*x^4+3*x^3+x^2-x-1) lgdogf] A375373 12.3055 [-1/(x^2+x+1)/(x^2+x-1)/(1+x)^2 ogf] A375373 8.16185 [-(6*x^4+14*x^3+10*x^2+2*x-2)/(x^5+3*x^4+3*x^3+x^2-x-1) lgdogf] A375409 13.7843 [-1/(x-1)*exp(x*(x-1)) egf] A375409 16.6038 [-(-2*x^2+3*x)/(x-1) lgdegf] A375410 13.0370 [-1/(x-1)*exp(-x*(x-1)^2) egf] A375410 14.2906 [-(3*x^3-7*x^2+5*x)/(x-1) lgdegf] A375411 10.8031 [-(-4*x^4+13*x^3-15*x^2+7*x)/(x-1) lgdegf] A375411 12.6376 [-1/(x-1)*exp(x*(x-1)^3) egf] A375412 12.8720 [-1/(x-1)*exp(-x^2*(x-1)) egf] A375412 13.1019 [-(3*x^3-5*x^2+2*x+1)/(x-1) lgdegf] A375413 11.2395 [-(-4*x^4+10*x^3-8*x^2+2*x+1)/(x-1) lgdegf] A375413 13.7843 [-1/(x-1)*exp(x^2*(x-1)^2) egf] A375414 12.2807 [-(-4*x^4+7*x^3-3*x^2+1)/(x-1) lgdegf] A375414 13.9026 [-1/(x-1)*exp(x^3*(x-1)) egf] A375415 11.4422 [-1/(x-1)*exp(-x^3*(x-1)^2) egf] A375415 9.31727 [-(5*x^5-13*x^4+11*x^3-3*x^2+1)/(x-1) lgdegf] A375424 14.6982 [1/(x-1)^2*exp(x*(x-1)) egf] A375424 15.0044 [-(-2*x^2+3*x+1)/(x-1) lgdegf] A375425 12.9248 [-1/(x-1)^3*exp(x*(x-1)) egf] A375425 14.2712 [-(-2*x^2+3*x+2)/(x-1) lgdegf] A375426 12.8609 [-(3*x^3-7*x^2+5*x+1)/(x-1) lgdegf] A375426 13.5889 [1/(x-1)^2*exp(-x*(x-1)^2) egf] A375427 12.1246 [-1/(x-1)^3*exp(-x*(x-1)^2) egf] A375427 12.3412 [-(3*x^3-7*x^2+5*x+2)/(x-1) lgdegf] A375434 14.6957 [-(3*x^3+3*x^2-x)/(1+x) revogf] A375435 15.2769 [-(3*x^3+x^2-x)/(3*x+1) revogf] A375436 15.6324 [-(6*x^3+3*x^2-x)/(1+2*x) revogf] A375437 15.1641 [-(6*x^3+2*x^2-x)/(3*x+1) revogf] A375470 7.85778 [-1/(x^4-x^3-2*x^2+1)^(3/2)*(x^4+x^3-1)/(x^4-x^3+2*x^2+1)^(3/2) ogf] A375476 8.14739 [-(x^7+x^5+x^2+x+1)/(2*x^3-1)/(1+x)/(x^2-x+1) ogf] A375489 11.2569 [-5*(16*x^4+8*x^3+4*x^2+2*x+1)/(16*x^5-5) egf] A375500 7.09309 [(x^5-x^4+3*x^3-7*x^2+3*x-1)/(1+x)/(x^2-3*x+1)/(x^2+x-1)/(x-1)^2 ogf] A375549 17.1171 [-(4*x-7)/(2*x^2-3*x+1) lgdogf] A375549 24.8975 [(x-1)^3/(2*x-1)^5 ogf] A375590 11.3636 [2*(8*x^18-9*x^17-1)/(x^19-x^18+x-1) lgdogf] A375590 9.51371 [(x^2+1)*(x^4-x^2+1)*(x^12-x^6+1)/(x-1)^2 ogf] A375607 5.65042 [-(x^9+12*x^6+60*x^3+120)/(x^10+x^9+12*x^7-12*x^6+60*x^4+60*x^3+120*x-120) egf] A375651 14.2317 [1+exp(x)*x*(x+2) lgdegf] A375652 14.4892 [2+exp(x)*x*(x+2) lgdegf] A375653 12.0330 [2*exp(x^2)*x^2+exp(x^2)+2*x lgdegf] A375654 12.4194 [2*exp(x^2)*x^2+exp(x^2)+4*x lgdegf] A375655 11.6536 [2*x+exp(1/2*x^2)*(x^2+1) lgdegf] A375692 6.62870 [-(720000000*x^9-739800000*x^8-73998000*x^7-6589980*x^6-611010*x^5+1234*x-12345)/(x-1)^2 ogf] A375726 13.7961 [-(2*x+1)/(1+x)/(x^2+2*x-1) ogf] A375726 7.02127 [{-a(n)-3*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 6} ogf] A375726 9.82980 [-(4*x^3+9*x^2+6*x+3)/(2*x^4+7*x^3+5*x^2-x-1) lgdogf] A375743 8.90332 [-(5*x^8+7*x^7-2*x^6-2*x^4+3*x^3+x^2+4*x+1)/(x-1)/(x^2+x+1) ogf] A375764 13.1227 [x^2*(2*x^4-7*x^3+8*x^2-3*x-3)/(x-1)^5 ogf] A375764 8.42618 [-(2*x^4-6*x^3+3*x^2+4*x-18)/(2*x^5-9*x^4+15*x^3-11*x^2+3) lgdogf] A375773 7.64268 [30*exp(3*x)+5*exp(5*x)-20*exp(2*x)-20*exp(4*x)+5*exp(x) lgdegf] A375796 6.05220 [4*(x^9-15*x^6+90*x^3-210)/(x^10+4*x^9+20*x^7-60*x^6+60*x^4+360*x^3+840*x-840) egf] A375802 8.14913 [-(x^30+x^15-x^14+x^10+x^6-x^5+x^3+x+1)/(x-1) ogf] A375821 9.17076 [-(x^3+x-1)/(x^3-x^2-1)/(x^3+x^2+2*x-1) ogf] A375823 10.0789 [x*(1+x)/(x^3-x^2-1)/(x^3+x^2+2*x-1) ogf] A375852 9.27456 [x*(3*x^6+3*x^4-x^3+2*x^2+x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A375880 15.3946 [-(7*x-2)/(16*x^2-7*x+1) ogf] A375880 8.53196 [{16*a(n)-7*a(n+1)+a(n+2) a(0) = 2 a(1) = 7} ogf] A375880 9.97400 [-(112*x^2-64*x+7)/(112*x^3-81*x^2+21*x-2) lgdogf] A375881 14.2711 [-(11*x-2)/(64*x^2-11*x+1) ogf] A375881 8.05902 [{64*a(n)-11*a(n+1)+a(n+2) a(0) = 2 a(1) = 11} ogf] A375881 9.25699 [-(704*x^2-256*x+11)/(704*x^3-249*x^2+33*x-2) lgdogf] A375882 10.2720 [-(16*x^2+32*x+1)/(16*x^3+18*x^2+3*x+1) lgdogf] A375882 16.6308 [(1+x)/(16*x^2+2*x+1) ogf] A375882 8.41561 [{16*a(n)+2*a(n+1)+a(n+2) a(0) = 1 a(1) = -1} ogf] A375883 14.5311 [-(32*x-7)/(16*x^2-7*x+1) lgdogf] A375883 21.3692 [x/(16*x^2-7*x+1) ogf] A375883 8.86043 [{16*a(n)-7*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A375884 13.0057 [-(128*x-11)/(64*x^2-11*x+1) lgdogf] A375884 19.6943 [x/(64*x^2-11*x+1) ogf] A375884 8.30484 [{64*a(n)-11*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A375885 14.2053 [-(32*x-2)/(16*x^2-2*x+1) lgdogf] A375885 20.8901 [x/(16*x^2-2*x+1) ogf] A375885 8.66176 [{16*a(n)-2*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A375891 13.0327 [-(17*x-1)/(1024*x^2-34*x+1) ogf] A375891 7.49010 [{1024*a(n)-34*a(n+1)+a(n+2) a(0) = 1 a(1) = 17} ogf] A375891 8.14548 [-(17408*x^2-2048*x+17)/(17408*x^3-1602*x^2+51*x-1) lgdogf] A375892 13.1831 [-(8*x-1)/(1024*x^2-16*x+1) ogf] A375892 7.51130 [{1024*a(n)-16*a(n+1)+a(n+2) a(0) = 1 a(1) = 8} ogf] A375892 8.38925 [-(8192*x^2-2048*x+8)/(8192*x^3-1152*x^2+24*x-1) lgdogf] A375893 11.2569 [-(61*x-1)/(4096*x^2-122*x+1) ogf] A375893 6.52393 [{4096*a(n)-122*a(n+1)+a(n+2) a(0) = 1 a(1) = 61} ogf] A375893 6.83461 [-(249856*x^2-8192*x+61)/(249856*x^3-11538*x^2+183*x-1) lgdogf] A375894 13.1807 [-(128*x-14)/(64*x^2-14*x+1) lgdogf] A375894 17.9121 [-x/(64*x^2-14*x+1) ogf] A375894 8.41657 [{64*a(n)-14*a(n+1)+a(n+2) a(0) = 0 a(1) = -1} ogf] A375895 12.0260 [-(2048*x-44)/(1024*x^2-44*x+1) lgdogf] A375895 18.2015 [x/(1024*x^2-44*x+1) ogf] A375895 7.92301 [{1024*a(n)-44*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A375896 10.5167 [-(8192*x-122)/(4096*x^2-122*x+1) lgdogf] A375896 14.5230 [-x/(4096*x^2-122*x+1) ogf] A375896 7.09266 [{4096*a(n)-122*a(n+1)+a(n+2) a(0) = 0 a(1) = -1} ogf] A375966 7.50194 [{12*a(n)-7*a(n+2)+a(n+4) a(0) = 1 a(1) = 1 a(2) = 3 a(3) = 4} ogf] A375966 9.90997 [-(3*x^3+4*x^2-x-1)/(3*x^2-1)/(2*x+1)/(2*x-1) ogf] A375980 8.99253 [-(1+x)*(x^4-x^3+x^2+1)/(x^6-x^5+x^3+x-1) ogf] A375990 11.7134 [-(2*I*ln(x-1)+2*Pi+I)^2 egf] A375995 13.7961 [-x^4*(x^2-x-1)/(x^2-3*x+1)^2 ogf] A375995 9.82980 [-(2*x^3-3*x^2-3*x+7)/(x^4-4*x^3+3*x^2+2*x-1) lgdogf] A376031 7.82187 [-(2*x^4-3*x^3-4*x^2-2*x+1)/(2*x^5-8*x^4+4*x^3+7*x^2+5*x-1) ogf] A376035 13.3824 [-(x-1)^3*ln(1+x) revegf] A376039 11.5133 [(x-1)^3*(exp(1/(x-1)*x)-1) revegf] A376040 13.1036 [(x-1)^3*(exp(-x)-1) revegf] A376041 11.0967 [(x-1)^3*(exp(x*(x-1))-1) revegf] A376042 9.82770 [-(x-1)^2*(exp(x*(x-1))-1) revegf] A376067 9.52919 [-(x-1)^2*(exp(1/(x-1)*x)-1) revegf] A376072 17.1370 [-(12*x+4)/(3*x^2+2*x-1) lgdogf] A376072 25.4459 [1/(1+x)^2/(3*x-1)^2 ogf] A376161 10.2180 [-1/2*x^2-3/2*x-3+1/2*(x^4+6*x^3+21*x^2+44*x+36)^(1/2) revogf] A376161 12.0130 [3*exp(4*x)*HeunC(16/3,2,-2,8/3,2/3,3/4*x) egf] A376161 8.54775 [{(-12*n^2-26*n-10)*a(n)+(3*n^2+11*n+6)*a(n+1) a(0) = 3} ogf] A376174 13.8519 [RootOf(16-15*_Z+(20*x-1)*_Z^5) egf] A376282 10.8055 [1/2*x*2^(2/3)*(1+(1-36*x)^(1/2))^(1/3) revogf] A376282 15.2687 [RootOf(9*_Z^7*x-_Z^3+1) ogf] A376283 11.9775 [-(24*x-1)/(1600*x^2-48*x+1) ogf] A376283 6.88366 [{1600*a(n)-48*a(n+1)+a(n+2) a(0) = 1 a(1) = 24} ogf] A376283 7.48599 [-(38400*x^2-3200*x+24)/(38400*x^3-2752*x^2+72*x-1) lgdogf] A376285 13.3311 [-(16*x-1)/(400*x^2-32*x+1) ogf] A376285 7.59562 [{400*a(n)-32*a(n+1)+a(n+2) a(0) = 1 a(1) = 16} ogf] A376285 8.59505 [-(6400*x^2-800*x+16)/(6400*x^3-912*x^2+48*x-1) lgdogf] A376313 13.0033 [-(x^2+x+2)/(x^2+1)/(1+x)^2/(x-1)^3 ogf] A376313 9.04038 [-(5*x^5+7*x^4+18*x^3+6*x^2+9*x+3)/(x^6+x^5+2*x^4-x^2-x-2) lgdogf] A376317 9.08185 [-1/2*(-2*x-1+(4*x^4+4*x^3+1)^(1/2))/(x^2+2*x+1) revogf] A376320 8.92581 [x/(x^8+4*x^7+10*x^6+16*x^5+19*x^4+16*x^3+10*x^2+4*x+1) revogf] A376328 7.81346 [x/(x^10+5*x^9+15*x^8+30*x^7+45*x^6+51*x^5+45*x^4+30*x^3+15*x^2+5*x+1) revogf] A376388 7.39723 [-1/2*(x^2+(5*x^4+2*x^3+3*x^2-2*x+1)^(1/2)-3*x-1)/(x^2+3*x+2) revogf] A376395 7.49009 [-1/2*(2*x^2+(8*x^4-4*x^3+8*x^2-4*x+1)^(1/2)-4*x-1)/(x^2+4*x+3) revogf] A376478 14.6980 [-(-9*x^2+6*x-2)/(9*x^3-4*x+1) lgdogf] A376478 20.0753 [(3*x^2+x-1)/(3*x-1) ogf] A376478 7.09560 [{(-3*n^2+3*n)*a(n)+(n^2-n)*a(n+1) a(0) = 1 a(1) = 2 a(2) = 3} ogf] A376486 15.9019 [-(x^4-x)/(x^4+1) revogf] A376487 8.85361 [-(x^4-x^3+x^2-x)/(x^4-x^3+x^2-x+1) revogf] A376489 11.0595 [1/2*x+1/2-1/2*(4*x^3+x^2-2*x+1)^(1/2) revogf] A376490 11.2935 [1/2*x+1/2-1/2*(4*x^4+x^2-2*x+1)^(1/2) revogf] A376491 11.2872 [1/2*x+1/2-1/2*(4*x^5+x^2-2*x+1)^(1/2) revogf] A376506 9.69415 [(x^4+6*x^3+36*x^2+6*x+1)/(1+x)/(x^2+1)/(x-1)^2 ogf] A376507 9.45702 [2*(9*x^4+3*x^3+x^2+3*x+9)/(1+x)/(x^2+1)/(x-1)^2 ogf] A376512 22.1500 [exp(x^2*(1+x)) egf] A376512 30.4563 [3*x^2+2*x lgdegf] A376513 24.3000 [4*x^3+3*x^2 lgdegf] A376538 9.20594 [(x^4+56*x^3+136*x^2+56*x+1)/(1+x)/(x^2+1)/(x-1)^2 ogf] A376539 8.89232 [2*(34*x^4+28*x^3+x^2+28*x+34)/(1+x)/(x^2+1)/(x-1)^2 ogf] A376551 14.9969 [1/(1+x)*(x+2)+(1+x)*exp(x) lgdegf] A376568 14.6013 [-(12*x+6)/(9*x^2+9*x-1) lgdogf] A376568 17.4503 [(-1)^(2/3)/(9*x^2+9*x-1)^(2/3) ogf] A376585 14.0357 [-(10*x^2-6*x+1)/(4*x-1)/(2*x-1)^2 ogf] A376585 9.25082 [-(80*x^3-56*x^2+16*x-2)/(80*x^4-108*x^3+54*x^2-12*x+1) lgdogf] A376647 12.1482 [-(1+x)*(x^2-x+1)/(x^7+x^6-1) ogf] A376647 7.69016 [-(4*x^9+3*x^8+7*x^6+6*x^5+3*x^2)/(x^10+x^9+x^7+x^6-x^3-1) lgdogf] A376648 14.8785 [-(x^4+1)/(x^9+x^8-1) ogf] A376648 7.04076 [-(5*x^12+4*x^11+9*x^8+8*x^7+4*x^3)/(x^13+x^12+x^9+x^8-x^4-1) lgdogf] A376649 14.8717 [-(x^6+x^3+1)/(x^10+x^9-1) ogf] A376650 8.01853 [-(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)/(x^13+x^12-1) ogf] A376663 28.2309 [-1/(x-1) lgdogf] A376663 31.6186 [-1/(x-1) ogf] A376668 33.2028 [-2/(x-1) lgdogf] A376668 44.2703 [1/(x-1)^2 ogf] A376695 12.7905 [-(x^2+x+1)*(x^2-x+1)/(x^7+x-1) ogf] A376696 15.6774 [-(x^6+x^3+1)/(x^10+x-1) ogf] A376716 11.0415 [(x^2-x+1)/(x^2+x+1)/(x^2-3*x+1) ogf] A376716 6.80240 [-(2*x^5-5*x^4+8*x^3-3*x^2-4*x-1)/(x^6-3*x^5+2*x^4-3*x^3+2*x^2-3*x+1) lgdogf] A376717 9.41745 [(x^3-x+1)/(x^3+2*x^2+x-1)/(x^3-2*x^2+x-1) ogf] A376718 9.31714 [(x^4-x+1)/(x^4+2*x^2-x+1)/(x^4-2*x^2-x+1) ogf] A376721 7.16097 [-(4*x^7-7*x^6+3*x^5-4*x^3-3*x^2)/(x^8-2*x^7+x^6-2*x^4-2*x^3+1) lgdogf] A376721 9.54796 [1/((x^4-x^3+2*x^2+1)*(x^4-x^3-2*x^2+1))^(1/2) ogf] A376722 7.68519 [-(5*x^9-9*x^8+4*x^7-5*x^4-4*x^3)/(x^10-2*x^9+x^8-2*x^5-2*x^4+1) lgdogf] A376722 8.63594 [1/((x^3-2*x^2+x-1)*(x^5-x^4+2*x^2-1)*(x^2+x+1))^(1/2) ogf] A376723 12.2558 [1/(x^3-x^2-2*x-1)/(x^3-x^2+2*x-1) ogf] A376723 7.58697 [-(6*x^5-10*x^4+4*x^3-6*x^2-4*x)/(x^6-2*x^5+x^4-2*x^3-2*x^2+1) lgdogf] A376724 11.3678 [1/(x^4-x^3+2*x^2+1)/(x^4-x^3-2*x^2+1) ogf] A376724 7.61332 [-(8*x^7-14*x^6+6*x^5-8*x^3-6*x^2)/(x^8-2*x^7+x^6-2*x^4-2*x^3+1) lgdogf] A376725 7.26518 [-(10*x^9-18*x^8+8*x^7-10*x^4-8*x^3)/(x^10-2*x^9+x^8-2*x^5-2*x^4+1) lgdogf] A376725 9.14270 [1/(x^3-2*x^2+x-1)/(x^5-x^4+2*x^2-1)/(x^2+x+1) ogf] A376726 9.09981 [-(x^3-x^2-1)/(x^3-x^2-2*x-1)/(x^3-x^2+2*x-1) ogf] A376727 8.25405 [-(x^4-x^3-1)/(x^4-x^3+2*x^2+1)/(x^4-x^3-2*x^2+1) ogf] A376729 9.04370 [-(x^3+x^2-1)/(x^3-x^2-2*x-1)/(x^3-x^2+2*x-1) ogf] A376730 8.18798 [-(x^4+x^3-1)/(x^4-x^3+2*x^2+1)/(x^4-x^3-2*x^2+1) ogf] A376731 7.05820 [-(x^5+x^4-1)/(x^3-2*x^2+x-1)/(x^5-x^4+2*x^2-1)/(x^2+x+1) ogf] A376778 14.6638 [-x*(x^5+23*x^4+666*x^3+1694*x^2+661*x+27)/(x-1)^7 ogf] A376783 11.3285 [1/((x^5-x^2+2*x-1)*(x^5-x^2-2*x-1))^(1/2) ogf] A376783 7.87606 [-(5*x^9-7*x^6-5*x^4+2*x^3-2*x)/(x^10-2*x^7-2*x^5+x^4-2*x^2+1) lgdogf] A376784 10.0939 [1/((x^5-2*x^4+x^3-1)*(x^5+2*x^4+x^3-1))^(1/2) ogf] A376784 7.50103 [-(5*x^9-8*x^7+3*x^5-5*x^4-3*x^2)/(x^10-2*x^8+x^6-2*x^5-2*x^3+1) lgdogf] A376785 9.35079 [-(x^3-x-1)/(x^3+2*x^2+x-1)/(x^3-2*x^2+x-1) ogf] A376786 8.86839 [-(x^4-x-1)/(x^4+2*x^2-x+1)/(x^4-2*x^2-x+1) ogf] A376787 8.82829 [(x^3-x^2+1)/(x^3-x^2-2*x-1)/(x^3-x^2+2*x-1) ogf] A376788 8.47669 [(x^4-x^3+1)/(x^4-x^3+2*x^2+1)/(x^4-x^3-2*x^2+1) ogf] A376791 11.5839 [-(3*x^5-3*x^2-2)/(x^6-2*x^3-4*x+1) lgdogf] A376791 19.2123 [1/(x^6-2*x^3-4*x+1)^(1/2) ogf] A376792 11.4385 [-(4*x^7-4*x^3-2)/(x^8-2*x^4-4*x+1) lgdogf] A376792 18.9711 [1/(x^8-2*x^4-4*x+1)^(1/2) ogf] A376802 11.1008 [-(x^2-2*x+4)/(x^3-3*x^2+12*x-1) lgdogf] A376802 14.4310 [(-1)^(1/3)/(x^3-3*x^2+12*x-1)^(1/3) ogf] A376803 11.4033 [-(x^2+4*x+1)/(x^3+6*x^2+3*x-1) lgdogf] A376803 14.8941 [(-1)^(1/3)/(x^3+6*x^2+3*x-1)^(1/3) ogf] A376804 11.6981 [-(10*x^2-2*x+1)/(10*x^3-3*x^2+3*x-1) lgdogf] A376804 15.4414 [(-1)^(1/3)/(10*x^3-3*x^2+3*x-1)^(1/3) ogf] A376805 11.6973 [(-1)^(1/3)/(x^6-3*x^4+3*x^2+9*x-1)^(1/3) ogf] A376805 8.33438 [-(2*x^5-4*x^3+2*x+3)/(x^6-3*x^4+3*x^2+9*x-1) lgdogf] A376806 12.6895 [(-1)^(1/3)/(x^9-3*x^6+3*x^3+9*x-1)^(1/3) ogf] A376806 8.61075 [-(3*x^8-6*x^5+3*x^2+3)/(x^9-3*x^6+3*x^3+9*x-1) lgdogf] A376809 11.4561 [-(2*x^3-6*x^2)/(4*x^4-5*x^3+3*x^2-3*x+1) lgdogf] A376809 14.4708 [-1/(-4*x^3+x^2-2*x+1)^(1/2)*(x-1) ogf] A376810 11.0019 [-1/(x^4-2*x^2-4*x+1)^(1/2)*(1+x)*(x-1) ogf] A376810 9.98864 [-(6*x^2+2)/(x^6-3*x^4-4*x^3+3*x^2+4*x-1) lgdogf] A376811 10.2299 [-(10*x^3+2)/(x^9-3*x^6-4*x^4+3*x^3+4*x-1) lgdogf] A376811 10.2299 [-1/(x^6-2*x^3-4*x+1)^(1/2)*(x^2+x+1)*(x-1) ogf] A376835 15.7019 [1/(-7*x^4-4*x^3+6*x^2-4*x+1)^(1/4) ogf] A376835 9.61742 [-(7*x^3+3*x^2-3*x+1)/(7*x^4+4*x^3-6*x^2+4*x-1) lgdogf] A376872 6.01436 [{(-27*n^3-27*n^2-6*n)*a(n)+(2*n^2+2*n)*a(n+1) a(0) = 1 a(1) = 1} ogf] A376884 9.26094 [1/2*((1/(2*x^2+x+1)/(2*x-1)*(x-1))^(1/2)-1)/x ogf] A376901 14.9044 [-(3*x^3-4*x+3)/(1+x)/(x-1)^3 ogf] A376901 9.65402 [-(3*x^4+6*x^3-3*x^2+4*x+2)/(3*x^5-7*x^3+3*x^2+4*x-3) lgdogf] A376919 10.4318 [-x*(x^24-x^23+x^7-x^6+x^2-2)/(x-1)^2 ogf] A376934 21.4494 [-1/(x-1) ogf] A377011 10.4360 [2*(-32*x+7+2*(1-4*x)^(1/2))/(16*x-3)/(4*x-1) lgdogf] A377011 11.7010 [(-8*x+2+(-4*x+1)^(1/2))/(16*x-3)/(4*x-1) ogf] A377013 11.8184 [-1/24*(-x^4+24*exp(x)-24*x+24)/(x-1) egf] A377016 7.64926 [-(3*x+1)*(7*x^2-16*x+1)/(x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A377017 6.25488 [-(3*x^4-404*x^3+578*x^2+2380*x-205)/(x^5-203*x^4+986*x^3+986*x^2-203*x+1) lgdogf] A377017 9.81668 [84*x*(x+1)/(x^2-6*x+1)/(x^2-198*x+1) ogf] A377067 12.1018 [-(x^2-x+1)/(x^2+x+1)/(x+1)^2/(x-1)^5 ogf] A377067 12.2611 [-(7*x^5+x^4+7*x^3+7*x^2+7*x+1)/(x^6-1) lgdogf] A377109 8.50033 [-(2*x-1)*(x^2+4*x-1)/(23*x^4-8*x^3-14*x^2+8*x-1) ogf] A377110 10.1287 [-x*(5*x^2-4*x+1)/(23*x^4-8*x^3-14*x^2+8*x-1) ogf] A377111 9.53439 [-x*(3*x-1)*(x-1)/(23*x^4-8*x^3-14*x^2+8*x-1) ogf] A377112 11.0018 [2*x^2*(2*x-1)/(23*x^4-8*x^3-14*x^2+8*x-1) ogf] A377112 6.95400 [-(138*x^4-124*x^3-4*x^2+28*x-6)/(46*x^5-39*x^4-20*x^3+30*x^2-10*x+1) lgdogf] A377113 8.81857 [(3*x-1)*(4*x^2-6*x+1)/(8*x^4+48*x^3-44*x^2+12*x-1) ogf] A377114 8.95855 [-x*(10*x^2-6*x+1)/(8*x^4+48*x^3-44*x^2+12*x-1) ogf] A377115 9.41498 [-x*(4*x-1)*(2*x-1)/(8*x^4+48*x^3-44*x^2+12*x-1) ogf] A377116 10.8895 [2*x^2*(3*x-1)/(8*x^4+48*x^3-44*x^2+12*x-1) ogf] A377116 6.79345 [-(72*x^4+256*x^3-276*x^2+88*x-9)/(24*x^5+136*x^4-180*x^3+80*x^2-15*x+1) lgdogf] A377117 11.4359 [(6*x^4+6*x^3+2*x^2-x-1)/(6*x^3+6*x^2-1) ogf] A377118 14.6957 [-x*(2*x+1)/(6*x^3+6*x^2-1) ogf] A377118 8.37499 [{-6*a(n)-6*a(n+1)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 2} ogf] A377118 9.16324 [-(24*x^3+30*x^2+12*x+2)/(12*x^4+18*x^3+6*x^2-2*x-1) lgdogf] A377119 14.5673 [-x*(x+1)/(6*x^3+6*x^2-1) ogf] A377119 8.30184 [{-6*a(n)-6*a(n+1)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 1} ogf] A377119 9.19133 [-(12*x^3+24*x^2+12*x+1)/(6*x^4+12*x^3+6*x^2-x-1) lgdogf] A377145 8.13344 [1/(x^2+x+1)^(5/2)*(x^4+4*x^3-x^2-2*x+1)/(x^2-3*x+1)^(5/2) ogf] A377148 6.36631 [-(x^2+x-1)*(x^4+8*x^3-x^2-2*x+1)/(x^2+x+1)^(7/2)/(x^2-3*x+1)^(7/2) ogf] A377165 14.9376 [-(199*x+351)/(199*x^2-123*x-76) lgdogf] A377165 23.6511 [(199*x+76)/(x-1)^2 ogf] A377165 9.25481 [{(-275*n-351)*a(n)+(275*n+76)*a(n+1) a(0) = 76} ogf] A377166 7.81815 [-x*(21*x^6+123*x^5+129*x^4+4*x^3+129*x^2+123*x+21)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A377186 11.9925 [-1/(-4*x^3-4*x^2+1)^(1/2)/(4*x^3+4*x^2-1) ogf] A377186 13.4399 [-(18*x^2+12*x)/(4*x^3+4*x^2-1) lgdogf] A377189 13.7221 [-(30*x^2+20*x)/(4*x^3+4*x^2-1) lgdogf] A377189 18.5088 [I/(4*x^3+4*x^2-1)^(5/2) ogf] A377190 13.7014 [-(42*x^2+28*x)/(4*x^3+4*x^2-1) lgdogf] A377190 18.4809 [-I/(4*x^3+4*x^2-1)^(7/2) ogf] A377192 9.08987 [10*x*(90*x^2+10*x-1)/(x-1)/(100*x-1)/(10*x-1) ogf] A377194 11.1642 [-(18*x^2+24*x+6)/(4*x^3+8*x^2+4*x-1) lgdogf] A377194 15.6774 [-I/(4*x^3+8*x^2+4*x-1)^(3/2) ogf] A377195 10.7494 [-(30*x^2+40*x+10)/(4*x^3+8*x^2+4*x-1) lgdogf] A377195 15.3236 [I/(4*x^3+8*x^2+4*x-1)^(5/2) ogf] A377196 11.3492 [-(42*x^2+56*x+14)/(4*x^3+8*x^2+4*x-1) lgdogf] A377196 16.1786 [-I/(4*x^3+8*x^2+4*x-1)^(7/2) ogf] A377197 11.1001 [-1/(5*x-1)^2*((5*x-1)*(x-1))^(1/2)*(x-1) ogf] A377197 21.2753 [6/(5*x^2-6*x+1) lgdogf] A377198 13.4378 [-(6*x+6)/(x^3-7*x^2+7*x-1) lgdogf] A377198 15.3575 [-1/(x^2-6*x+1)^(3/2)*(x-1)^3 ogf] A377199 10.9515 [-1/(5*x-1)^3*((5*x-1)*(x-1))^(1/2)*(x-1)^2 ogf] A377199 20.4231 [10/(5*x^2-6*x+1) lgdogf] A377200 17.8677 [1/(5*x-1)^(7/2)*(x-1)^(7/2) ogf] A377200 19.7994 [14/(5*x^2-6*x+1) lgdogf] A377204 13.5108 [-(6*x^2-12*x)/(4*x^3-3*x^2-2*x+1) lgdogf] A377204 9.69596 [-1/(4*x^2+x-1)^2*((4*x^2+x-1)*(x-1))^(1/2)*(x-1) ogf] A377207 12.1343 [-(8*x+1)*(9*x+1)/(81*x^3+9*x^2+x-1) ogf] A377207 6.84503 [-(5832*x^4+2754*x^3+324*x^2+162*x+18)/(5832*x^5+2025*x^4+306*x^3-46*x^2-16*x-1) lgdogf] A377207 6.96408 [{-81*a(n)-9*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 18 a(2) = 99} ogf] A377213 11.4769 [-(12*x^3-18*x^2)/(4*x^4-4*x^3+x^2-2*x+1) lgdogf] A377213 7.79168 [-((2*x-1)*(2*x^2+x+1)*(x-1))^(1/2)*(x-1)/(2*x-1)^2/(2*x^2+x+1)^2 ogf] A377215 12.5459 [-(10*x^2-20*x)/(4*x^3-3*x^2-2*x+1) lgdogf] A377215 15.8743 [1/(4*x^2+x-1)^(5/2)*(x-1)^(5/2) ogf] A377216 11.1986 [-(20*x^3-30*x^2)/(4*x^4-4*x^3+x^2-2*x+1) lgdogf] A377216 12.7491 [1/(2*x^2+x+1)^(5/2)/(2*x-1)^(5/2)*(x-1)^(5/2) ogf] A377226 9.09935 [-(x^5-3*x^4-7*x^3+3*x^2-5*x-1)/(x-1)^2/(x^2+x+1)^2 ogf] A377233 13.0084 [((x-1)^2*(10*x-1)^4)^(1/3)/(10*x-1)^2 ogf] A377233 18.8279 [6/(10*x^2-11*x+1) lgdogf] A377234 18.4846 [1/(10*x-1)^(4/3)*(x-1)^(4/3) ogf] A377234 19.9065 [12/(10*x^2-11*x+1) lgdogf] A377235 18.4846 [1/(10*x-1)^(5/3)*(x-1)^(5/3) ogf] A377235 19.9065 [15/(10*x^2-11*x+1) lgdogf] A377237 8.67715 [-2*(4*x+(1-4*x)^(1/2))/(16*x^2+4*x-1)*(-1+2*x)/(4*x-1) lgdogf] A377239 9.57221 [-2*(-4*x+(1-4*x)^(1/2))/(16*x^2+4*x-1)*(-1+2*x)/(4*x-1) lgdogf] A377241 7.25766 [-2*(16*x^2+(4*x+1)^(1/2)+4*x)/(256*x^4+128*x^3+16*x^2-4*x-1)*(1+6*x) lgdogf] A377243 7.17934 [-2*(-16*x^2+(1-4*x)^(1/2)+4*x)/(256*x^4-128*x^3+16*x^2+4*x-1)*(-1+6*x) lgdogf] A377260 15.5271 [-(24*x+12)/(9*x^2+9*x-1) lgdogf] A377260 17.2522 [-(-1)^(1/3)/(9*x^2+9*x-1)^(4/3) ogf] A377261 15.5271 [-(30*x+15)/(9*x^2+9*x-1) lgdogf] A377261 17.2522 [-(-1)^(2/3)/(9*x^2+9*x-1)^(5/3) ogf] A377267 10.5190 [RootOf(81*_Z^5*x^2-18*_Z^4*x+_Z^3-1) ogf] A377267 20.0519 [x*(1-9*x)^(2/3) revogf] A377268 22.9648 [x/(1-9*x)^(1/3) revogf] A377269 22.4267 [x/(1-9*x)^(2/3) revogf] A377306 14.9839 [-(x^16-x^15+x-2)/(x-1)^2 ogf] A377306 7.84875 [-(-14*x^16+29*x^15-15*x^14+x-3)/(x^17-2*x^16+x^15+x^2-3*x+2) lgdogf] A377314 12.6322 [(x^2+2*x-1)/(x^3+3*x^2+3*x-1) ogf] A377314 6.42892 [{-a(n)-3*a(n+1)-3*a(n+2)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 5} ogf] A377314 8.18227 [-(x^4+4*x^3-4*x-1)/(x^5+5*x^4+8*x^3+2*x^2-5*x+1) lgdogf] A377315 13.5302 [-x*(x+1)/(x^3+3*x^2+3*x-1) ogf] A377315 6.94798 [{-a(n)-3*a(n+1)-3*a(n+2)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 4} ogf] A377315 9.64034 [-(2*x^3+6*x^2+6*x+4)/(x^4+4*x^3+6*x^2+2*x-1) lgdogf] A377322 10.7723 [(x^4+2*x^3+4*x^2+2*x+1)/(x^4-2*x^3-2*x+1) ogf] A377322 7.86384 [-(4*x^6+8*x^5+4*x^4-4*x^2-8*x-4)/(x^8-8*x^5-6*x^4-8*x^3+1) lgdogf] A377368 8.50891 [-(2*x^4+x^2-x-1)/(x-1)/(x^2+x+1)/(x^2+x-1) ogf] A377375 12.3791 [x^3*(x^4-3*x^3-x^2+3*x+4)/(x+1)^2/(x-1)^4 ogf] A377375 7.92699 [-(2*x^5-7*x^4-6*x^3+4*x^2+28*x+11)/(x^6-3*x^5-2*x^4+6*x^3+5*x^2-3*x-4) lgdogf] A377394 13.2328 [-I*(Pi+I*ln(x-1)-I)^3 egf] A377396 20.0323 [(ln(x+1)+1)^3 egf] A377398 8.78889 [(4*x-1)*(12*x^2-5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A377399 7.63513 [(384*x^4-262*x^3+83*x^2-14*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A377463 9.35425 [-(2*x^15-2*x^14+2*x^13-2*x^12+2*x^3-2*x^2+x-2)/(x-1)^2 ogf] A377501 8.94082 [-(2*x^3-14*x^2+7*x-1)/(x-1)/(4*x-1)/(2*x^2-4*x+1) ogf] A377521 9.42322 [x^3*(3*x^6-7*x^5-9*x^4+19*x^3+11*x^2-18*x-15)/(x+1)^3/(x-1)^5 ogf] A377573 9.26094 [(x-1)*(x^3+3*x^2-1)/(2*x-1)/(x^3+2*x^2-x-1) ogf] A377626 7.97262 [-(x^4-x^3+2*x-1)/(2*x-1)/(x^2-x+1)/(2*x^3+x^2-x-1) ogf] A377627 7.23852 [(6*x^5+5*x^4+11*x^3-10*x^2+5*x-1)/(4*x-1)/(x^2+x+1)/(9*x^2-3*x+1) ogf] A377628 13.1191 [(x^2-2*x+2)/(x-1)/(x^2+x-1) ogf] A377628 8.51349 [{a(n)-2*a(n+2)+a(n+3) a(0) = 2 a(1) = 2 a(2) = 5} ogf] A377628 9.09398 [-(x^4-4*x^3+8*x^2-2*x-2)/(x^5-2*x^4+5*x^2-6*x+2) lgdogf] A377638 9.23543 [(6*x^3+30*x^2-9*x+1)/(x-1)/(8*x-1)/(2*x^2-5*x+1) ogf] A377641 9.48648 [-(96*x^2-60*x+11)/(4*x-1)/(3*x-1)/(8*x-1) ogf] A377646 6.80239 [(16*x^8-88*x^7+212*x^6-248*x^5+176*x^4-93*x^3+37*x^2-9*x+1)/(2*x-1)^3/(x-1)^3 ogf] A377663 10.6056 [-(2*x^3-28*x^2-22*x)/(2*x^4-19*x^3+21*x^2-5*x+1) lgdogf] A377663 15.7120 [-(2*x^3-17*x^2+4*x-1)/(x-1)^4 ogf] A377670 10.6073 [-x^2*(x-1)*(x^3-2*x^2+3*x-1)/(2*x-1)/(x^2-3*x+1)^2 ogf] A377679 5.61956 [-(4*x^5-7*x^4+17*x^3-35*x^2+26*x-6)/(2*x^6-9*x^5+16*x^4-22*x^3+18*x^2-7*x+1) lgdogf] A377679 9.08368 [x^3*(x^3-x^2+2*x-1)/(2*x-1)/(x^2-3*x+1)^2 ogf] A377706 9.16405 [RootOf(-x^4+(x^4+x^3)*_Z-x*_Z^4+_Z^5) revogf] A377714 11.2279 [(4*x^3-2*x^2+3*x-1)/(4*x-1)/(4*x^2+1) ogf] A377714 6.51620 [-(-16*x^4+64*x^3-40*x^2+4*x-1)/(64*x^6-48*x^5+72*x^4-40*x^3+18*x^2-7*x+1) lgdogf] A377722 10.1342 [-(-16*x^17+17*x^16+2)/(x^18-x^17+x^2-1) lgdogf] A377725 12.3363 [(x^2+6*x-3)/(x-1)/(x^2-6*x+1) ogf] A377725 6.60104 [{-a(n)+7*a(n+1)-7*a(n+2)+a(n+3) a(0) = 3 a(1) = 15 a(2) = 83} ogf] A377725 7.30600 [-(x^4+12*x^3-58*x^2+44*x-15)/(x^5-x^4-38*x^3+62*x^2-27*x+3) lgdogf] A377726 6.77743 [-4*(x+3)*(x^2-16*x+7)/(x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A377728 8.72110 [-x*(x^2-x+1)/(x-1)/(2*x-1)/(x+1)/(x^2+x-1) ogf] A377729 10.7478 [(12*x^6-72*x^5+171*x^4-199*x^3+98*x^2+5*x-19)/(x-1)^5 ogf] A377735 8.55428 [-(27*x^3+3*x^2+7*x-1)/(x-1)/(9*x-1)/(9*x^2+2*x+1) ogf] A377754 6.36064 [-(2304*x^5-4700*x^4+77054*x^3-8302*x^2+459*x-31)/(64*x-1)/(2*x-1)/(6*x^2-23*x+1)^2 ogf] A377769 6.01689 [-2*(1472*x^4-6424*x^3+7804*x^2-2082*x+157)/(8*x-1)/(2*x^2-5*x+1)/(4*x^2-8*x+1) ogf] A377773 5.96373 [-(4*x^6+52*x^5+100*x^4-330*x^3+129*x^2-16*x+1)/(16*x-1)/(x-1)^2/(2*x^2-5*x+1)^2 ogf] A377825 7.69327 [2*(x^6+x^5-4*x^3-3*x^2+4*x+2)/(x^2-2)^2/(x-1)^2/(x+1)^2 egf] A377843 6.59979 [-(38*x^4+127*x^3-57*x^2+13*x-1)/(x-1)/(9*x-1)/(x+1)/(25*x^2-6*x+1) ogf] A377851 7.87796 [(8*x^6+x^5+24*x^4+8*x^3+24*x^2+x+8)/(x-1)^2/(x+1)^2/(x^2+1)^2 ogf] A377855 8.85277 [(12*x^4+6*x^3+2*x^2+2*x-1)/(4*x-1)/(2*x+1)/(4*x^2+1) ogf] A377857 11.1128 [-(x^3+2*x^2-4*x+5)/(x^4-3*x^3+3*x-1) lgdogf] A377857 14.0371 [x^3*(x+1)*(x-1)^2/(x^2-3*x+1)^2 ogf] A377858 13.8535 [x*(x+3)*(x^2-14*x-3)/(x-1)^5 ogf] A377858 9.23574 [-(2*x^3-30*x^2-202*x-90)/(x^4-12*x^3-34*x^2+36*x+9) lgdogf] A377866 12.0513 [-x^3*(x^2+x-1)/(x^2-3*x+1)^2 ogf] A377866 8.58661 [-(2*x^3+3*x^2-9*x+5)/(x^4-2*x^3-3*x^2+4*x-1) lgdogf] A377867 11.0075 [x^4*(x^4+2*x^2-3*x+1)/(2*x-1)^2/(x^2-3*x+1)^2 ogf] A377883 7.42363 [(4*x^5-14*x^4+17*x^3-9*x^2+5*x-1)/(4*x-1)/(2*x^2-2*x+1)/(4*x^2+1) ogf] A377885 11.0816 [(6*x^3-7*x^2+5*x-1)/(4*x-1)/(4*x^2-2*x+1) ogf] A377885 6.53534 [-(-40*x^4+88*x^3-48*x^2+10*x-1)/(96*x^6-184*x^5+200*x^4-124*x^3+49*x^2-11*x+1) lgdogf] A377903 4.99246 [exp(x)*(x+1) egf] A377917 6.78457 [(x^6+5*x^5+9*x^4+4*x^3-9*x^2-16*x-10)/(x^6+6*x^5+15*x^4+20*x^3+15*x^2+5*x-1) ogf] A377943 11.3179 [(x^2-8*x+1)/(x-1)/(9*x-1)/(x+1) ogf] A377943 6.51033 [{9*a(n)-a(n+1)-9*a(n+2)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 11} ogf] A377943 7.21243 [-(9*x^4-144*x^3+44*x^2-4*x-1)/(9*x^5-73*x^4+8*x^3+72*x^2-17*x+1) lgdogf] A377944 11.0816 [(6*x^3+3*x^2+2*x-1)/(4*x-1)/(4*x^2+2*x+1) ogf] A377944 7.21354 [-(24*x^4+40*x^3-28*x^2-2*x)/(96*x^6+72*x^5+56*x^4-8*x^3-3*x^2-4*x+1) lgdogf] A377946 8.82678 [(12*x^4-14*x^3+8*x^2-5*x+1)/(4*x-1)/(2*x-1)/(4*x^2+1) ogf] A377954 14.3336 [exp(x*(x+1))*(x+1)^2 egf] A377954 14.6323 [-(-2*x^2-3*x-3)/(x+1) lgdegf] A377955 15.1119 [exp(x*(x+1))*(x+1)^3 egf] A377955 15.4268 [-(-2*x^2-3*x-4)/(x+1) lgdegf] A377956 15.6956 [exp(x*(x+1))*(x+1)^4 egf] A377956 16.0227 [-(-2*x^2-3*x-5)/(x+1) lgdegf] A377958 12.9270 [-1/(x-1)*exp(-x*(x-1)) egf] A377958 15.3508 [-(2*x^2-3*x+2)/(x-1) lgdegf] A377959 13.5889 [1/(x-1)^2*exp(-x*(x-1)) egf] A377959 15.0044 [-(2*x^2-3*x+3)/(x-1) lgdegf] A377960 13.6114 [-1/(x-1)^3*exp(-x*(x-1)) egf] A377960 16.1636 [-(2*x^2-3*x+4)/(x-1) lgdegf] A377963 13.7178 [-(-3*x^3-7*x^2-5*x-2)/(x+1) lgdegf] A377963 15.6774 [exp(x*(x+1)^2)*(x+1) egf] A377964 11.8022 [-(-4*x^4-13*x^3-15*x^2-7*x-2)/(x+1) lgdegf] A377964 15.8967 [exp(x*(x+1)^3)*(x+1) egf] A377965 12.6953 [-(-3*x^3-7*x^2-5*x-3)/(x+1) lgdegf] A377965 14.5089 [exp(x*(x+1)^2)*(x+1)^2 egf] A377966 10.7481 [-(-4*x^4-13*x^3-15*x^2-7*x-3)/(x+1) lgdegf] A377966 14.4770 [exp(x*(x+1)^3)*(x+1)^2 egf] A377967 10.9787 [-(-4*x^4-13*x^3-15*x^2-7*x-4)/(x+1) lgdegf] A377967 14.7876 [exp(x*(x+1)^3)*(x+1)^3 egf] A377978 .823192 [{-a(n+1)+a(n+5) a(0) = 2 a(1) = 2 a(2) = 6 a(3) = 11 a(4) = 6} ogf] A378023 13.9759 [-(3*x+1)*(2*x^2-x+1)/(x-1)^5 ogf] A378023 9.71502 [-(12*x^3+15*x^2+6*x+7)/(6*x^4-7*x^3+3*x^2-x-1) lgdogf] A378031 7.91862 [(36*x^4+99*x^3-14*x^2+6*x-1)/(8*x-1)/(x+1)/(27*x^2+1) ogf] A378064 14.3619 [-(57*x^3+67*x^2-5*x+1)/(x-1)^5 ogf] A378064 9.29300 [-(114*x^3+372*x^2+114*x)/(57*x^4+10*x^3-72*x^2+6*x-1) lgdogf] A378100 11.0107 [-exp(1/2*x^2)+exp(1/2*x*(x+2)) egf] A378105 12.9479 [-(2*x^4+3*x^2-1)/(x-1)/(2*x-1)/(x+1) ogf] A378110 7.12631 [(6*x^5-4*x^4-8*x^3-5*x^2+1)/(x-1)/(3*x-1)/(2*x+1)/(3*x^2+2*x+1) ogf] A378152 7.75281 [RootOf(-x+(x^4+1)*_Z+4*x^4*_Z^2+6*x^4*_Z^3+4*x^4*_Z^4+x^4*_Z^5) revogf] A378153 8.26095 [-1/2*I*(I-(4*x^6+12*x^5+12*x^4+4*x^3-1)^(1/2))/x^3/(x+1)^3 ogf] A378153 9.34275 [RootOf(_Z^5*x^2+3*_Z^4*x^2+3*_Z^3*x^2+_Z^2*x^2+_Z-x) revogf] A378248 7.89735 [-1/(x^4+x^3+x^2+x+1)/(x^6+x^3+1)/(x^2+x+1)^3/(x-1)^5 ogf] A378278 6.83837 [(x^6+x^4+x^3-3*x^2+3*x-1)/(2*x-1)/(x+1)/(x^2+1)/(2*x^2-2*x+1) ogf] A378296 9.56132 [-x^3*(2*x+1)/(8*x-1)/(4*x^2-6*x+1)/(4*x^2-8*x+1)^2 ogf] A378380 10.3825 [-6*(13*x^2+20*x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A378382 10.5330 [(exp(x)*x+exp(x*(x+2)))/(x+1)^2 egf] A378383 8.14244 [-x^3*(x-1)*(x^4-x^3+4*x^2-4*x+1)/(2*x-1)^2/(x^2-3*x+1)^2 ogf] A378425 13.6620 [x/(x^5+3*x^4+3*x^3+x^2+x+1) revogf] A378426 14.7386 [x/(x^4+2*x^3+x^2+x+1) revogf] A378427 12.8519 [x/(x^6+3*x^5+3*x^4+x^3+x+1) revogf] A378455 8.11417 [-(40*x^6+44*x^5+460*x^4+497*x^3+1412*x^2+2644*x+1272)/(x-1)/(x+1) ogf] A378465 14.4715 [-(x^3-3*x^2+x)/(x-1) revogf] A378466 10.4095 [-(x^4-3*x^3+4*x^2-x)/(x^2-2*x+1) revogf] A378467 10.9821 [-(x^4-2*x^3+3*x^2-x)/(x^2-2*x+1) revogf] A378497 10.0093 [(2*x^3+2*x+1)/(x-1)/(4*x-1)/(x^2+x+1) ogf] A378497 6.19225 [-(8*x^6+24*x^4+28*x^3-9*x^2-6)/(8*x^7-2*x^6+8*x^5-6*x^4+x^3-8*x^2-2*x+1) lgdogf] A378499 9.32219 [(x^3+3*x^2+1)/(x-1)/(4*x-1)/(x^2+x+1) ogf] A378502 8.63416 [-(x^3-2*x^2-3*x-1)/(x-1)/(4*x-1)/(x^2+x+1) ogf] A378560 13.6264 [-x*(10*x^18-9*x^10-x^9-1)/(x-1)^2 ogf] A378569 10.7742 [{(-3*n^2-9*n-13)*a(n)+(3*n^2+3*n+7)*a(n+1) a(0) = 7} ogf] A378569 16.2418 [-(7*x^2-2*x+13)/(7*x^3-15*x^2+15*x-7) lgdogf] A378569 24.1821 [-(7*x^2-8*x+7)/(x-1)^3 ogf] A378610 7.85165 [-(-16*x^5+32*x^4-24*x^3+8*x^2-x)/(x^4-4*x^3+6*x^2-4*x+1) revogf] A378659 4.98082 [(230*x^12+13*x^11+22*x^8+5*x^7+2*x^6+7*x^5+6*x^4+x^3+2*x^2-x-1)/(2*x-1) ogf] A378668 9.05839 [RootOf(4*_Z^5*x^2-_Z^4*x^2-4*_Z^3*x+2*_Z^2*x+_Z-1) ogf] A378670 7.91041 [(1/2*x^2-x+1/2+1/2*(x^4-4*x^3-10*x^2-4*x+1)^(1/2))*x revogf] A378676 11.0025 [-(64*x^3-96*x^2+36*x+5)/(32*x^4-48*x^3+6*x^2+13*x-3) lgdogf] A378676 14.5570 [-x*(4*x-3)/(x-1)/(2*x+1)/(4*x-1) ogf] A378676 8.52441 [{8*a(n)-6*a(n+1)-3*a(n+2)+a(n+3) a(0) = 0 a(1) = 3 a(2) = 5} ogf] A378685 10.1326 [RootOf(_Z^7*x+_Z^4*x-_Z^3*x-_Z+1) ogf] A378688 10.0885 [RootOf(_Z^7*x+_Z^3*x-_Z^2*x-_Z+1) ogf] A378691 10.2484 [RootOf(1+(-x-1)*_Z+_Z^2*x+x*_Z^6) ogf] A378692 10.8059 [RootOf(1+(-x-1)*_Z+_Z^2*x+x*_Z^7) ogf] A378694 12.6910 [RootOf(2*_Z^7*x-_Z^6*x-_Z+1) ogf] A378727 17.7975 [-(16*x-10)/(4*x^2-5*x+1) lgdogf] A378727 24.0507 [x/(4*x-1)^2/(x-1)^2 ogf] A378728 15.3182 [-(20*x-12)/(5*x^2-6*x+1) lgdogf] A378728 20.7002 [x/(5*x-1)^2/(x-1)^2 ogf] A378731 7.48946 [RootOf(_Z^5*x^3-_Z^4*x^3+3*_Z^3*x^3+3*_Z^2*x^2+x^3+3*x^2-_Z+3*x+1) ogf] A378739 11.6162 [-2*(246*x^35+961*x^24-961*x^23-93)/(x-1)/(82*x^35-31) ogf] A378777 11.3186 [3*x*HeunG(4/9,40/9,4/3,5/3,3/2,-1,3*x) ogf] A378778 11.7626 [6*x*HeunG(4/9,40/9,4/3,5/3,3/2,-1,6*x) ogf] A378779 7.07735 [12*I*x*(12*x-1)^2/(27*x-1)^(5/2)*HeunG(9/4,73/16,5/6,7/6,3/2,-3/2,27*x) ogf] A378780 10.6990 [6*x*hypergeom([4/3 5/3],[3/2],27/2*x) ogf] A378780 6.87094 [{(-27*n^2-27*n-6)*a(n)+(2*n^2+n)*a(n+1) a(0) = 0 a(1) = 6} ogf] A378788 11.1985 [-(2*x^4+2*x^2+x+1)/(x^2+x+1)^2/(x-1)^3 ogf] A378790 8.83336 [-x*(x^4+x^3+x^2+x+2)/(x^2+1)/(x+1)^2/(x-1)^3 ogf] A378796 13.7094 [(7*x^2-2*x-1)/(3*x-1)/(x+1)/(x-1)^2 ogf] A378796 9.47994 [-(42*x^4-4*x^3-12*x+6)/(21*x^5-13*x^4-22*x^3+14*x^2+x-1) lgdogf] A378817 6.74206 [-(x-1)*(x^6+2*x^5-2*x^4+2*x^3+2*x^2-6*x-1)/(x^4-x^2+1)^2 ogf] A378828 6.57621 [RootOf(1+(3*x-1)*_Z+(x^3+3*x^2)*_Z^2+3*x^3*_Z^3+2*x^3*_Z^4+x^3*_Z^5) ogf] A378883 11.2047 [RootOf(_Z^6*x-_Z^5*x+_Z^3*x-_Z+1) ogf] A378892 11.0459 [RootOf(_Z^6*x-_Z^4*x+_Z^3*x-_Z+1) ogf] A378919 10.7098 [RootOf(1+(x-1)*_Z-_Z^2*x+x*_Z^6) ogf] A378920 11.1368 [RootOf(_Z^6*x-_Z^3*x+_Z^2*x-_Z+1) ogf] A378922 14.1355 [-(6*x^4-7*x^3+12*x^2-4*x+1)/(x-1)^5 ogf] A378922 8.67726 [-(6*x^4+10*x^3+15*x^2+8*x+1)/(6*x^5-13*x^4+19*x^3-16*x^2+5*x-1) lgdogf] A378923 9.97152 [x*(6*x^5-5*x^4-7*x^3+8*x^2-2*x-2)/(2*x-1)/(x-1)^2 ogf] A378924 11.3515 [-(11*x^3-36*x^2+38*x-12)/(2*x-1)/(x-1)^3 ogf] A378924 6.93148 [-(22*x^4-100*x^3+159*x^2-100*x+22)/(22*x^5-105*x^4+195*x^3-174*x^2+74*x-12) lgdogf] A378933 11.6163 [-(6*x^3-9*x^2+3*x+2)/(2*x-1)/(x-1)^4 ogf] A378933 7.26025 [-(24*x^4-36*x^3+6*x^2+29*x-15)/(12*x^5-36*x^4+39*x^3-14*x^2-3*x+2) lgdogf] A378937 9.24390 [(24*x^3-3*x^2-4*x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A378943 11.5850 [(x+2)/(x-1)/(x+1)/(x^3+x^2+x-1) ogf] A378943 7.48417 [-(4*x^5+13*x^4+8*x^3-2*x^2-8*x-3)/(x^6+3*x^5+2*x^4-2*x^3-5*x^2-x+2) lgdogf] A378951 7.79252 [1/2/(x+1)^2*(-2*x^2-x+1+(-3*x^2-2*x+1)^(1/2))*x revogf] A378954 9.46393 [RootOf(_Z^6*x^2+_Z^5*x^2+_Z^4*x^2+2*_Z^2*x-_Z+1) ogf] A378965 7.41680 [-(3*x^4-18*x^3-164*x^2+50*x+1)/(x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A379021 9.41397 [-(-x^5-2*x^4+x^3+2*x^2-x)/(x^2+2*x+1) revogf] A379023 8.63056 [-(x^7+3*x^6-5*x^4+3*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A379074 15.7215 [-x*(3*x^15-3*x^14+6*x^11-2*x^10-4*x^8-1)/(x-1)^2 ogf] A379076 11.9607 [-x*(8*x^35-8*x^34+11*x^31-2*x^30-2*x^28-7*x^27+3*x^3-2*x^2-2)/(x-1)^2 ogf] A379080 8.92881 [-(-x^7-2*x^6-x^5+2*x^4+2*x^3-x)/(x^2+2*x+1) revogf] A379081 6.75336 [-(x^10+3*x^9+3*x^8-2*x^7-6*x^6-3*x^5+3*x^4+3*x^3-x)/(x^3+3*x^2+3*x+1) revogf] A379082 9.58037 [-(-x^9-2*x^8-x^7+2*x^5+2*x^4-x)/(x^2+2*x+1) revogf] A379096 14.3786 [-(x^24-x^23+60*x-61)/(x-1)^2 ogf] A379096 7.65968 [(22*x^24-45*x^23+23*x^22-60*x+62)/(x^25-2*x^24+x^23+60*x^2-121*x+61) lgdogf] A379103 15.8354 [-3/4*x+1/4-1/4*(9*x^2-14*x+1)^(1/2) ogf] A379103 20.8740 [-(2*x^2-x)/(3*x+1) revogf] A379159 10.3004 [RootOf(_Z^3*x^3+_Z^5+x^3+_Z^2-_Z*x) revogf] A379160 11.2947 [RootOf(_Z^4*x^3+_Z^6+x^3+_Z^2-_Z*x) revogf] A379171 10.5979 [-1/2+1/2*(-4*x^4+12*x^3-12*x^2+4*x+1)^(1/2) revogf] A379173 13.0830 [-1/2+1/2*(4*x^3-8*x^2+4*x+1)^(1/2) revogf] A379174 8.04150 [(1/2*x^2-x+1/2+1/2*(x^4-4*x^3+6*x^2-8*x+1)^(1/2))*x revogf] A379185 8.94328 [(-1/2+1/2*x-1/2*(x^2-6*x+1)^(1/2))*(x-1)*x revogf] A379187 6.50501 [(-1/2*x^2+x-1/2-1/2*(x^4-4*x^3+10*x^2-8*x+1)^(1/2))*(x-1)*x revogf] A379189 11.4095 [RootOf(_Z^5*x^2-_Z^4*x-_Z^2*x+_Z-1) ogf] A379192 7.03686 [1/2/(x^3+3*x^2+3*x+1)*(1+(-4*x^4-12*x^3-12*x^2-4*x+1)^(1/2))*x revogf] A379193 9.62025 [1/2/(x^2+2*x+1)*(1+(-4*x^3-8*x^2-4*x+1)^(1/2))*x revogf] A379209 10.2277 [(-1/2*x+1/2+1/2*(5*x^2-6*x+1)^(1/2))*x revogf] A379210 7.79373 [-x*(3*x^6+x^5+7*x^4+8*x^3+7*x^2+x+3)/(x+1)^2/(x^2+1)^2/(x-1)^3 ogf] A379211 12.0771 [(x^2+3*x+1)*(2*x^2-x+2)/(x+1)/(x^2+1)/(x-1)^2 ogf] A379215 9.28178 [-(8*x^4-18*x^3+3*x^2+2*x-1)/(4*x-1)/(2*x-1)/(x-1)^2 ogf] A379244 9.54889 [RootOf(1-_Z+2*_Z^2*x+(-x^2+2*x)*_Z^3+x^2*_Z^6) ogf] A379249 6.82883 [1/2/(x^2+2*x+1)*(1+(-4*x^5-16*x^4-24*x^3-16*x^2-4*x+1)^(1/2))*x revogf] A379251 9.45976 [RootOf(-1+(-2*x+1)*_Z-_Z^2*x^2-2*x*_Z^3+x^2*_Z^5) ogf] A379253 12.2595 [RootOf(_Z^7*x+_Z^2*x-_Z+1) ogf] A379256 12.4201 [RootOf(_Z^7*x+_Z^3*x-_Z+1) ogf] A379279 7.07569 [1/2/(x^2+2*x+1)*(-2*x^3-4*x^2-2*x+1+(-4*x^3-8*x^2-4*x+1)^(1/2))*x revogf] A379285 10.8349 [RootOf(_Z^6*x^2-_Z^4*x-_Z^3*x+_Z-1) ogf] A379326 10.0126 [2*x^2+((2*x+1)*(x+1)*(2*x^2-x+1))^(1/2)+x ogf] A379327 8.99680 [(-2*x^2+(4*x^4+4*x^3+x^2+2*x+1)^(1/2)-x)/(2*x+1)*x revogf] A379328 10.3210 [1/(2*x+1)*(-(2*x+1)*(4*x^2+2*x-1))^(1/2)*x revogf] A379329 10.9747 [(2*x^2-x+(4*x^4-4*x^3+x^2-2*x+1)^(1/2))*x revogf] A379330 11.3226 [RootOf(4*_Z^5*x^2-2*_Z^4*x-2*_Z^3*x+_Z^2-1) ogf] A379331 10.1484 [RootOf(4*_Z^6*x^2-2*_Z^5*x-2*_Z^3*x+_Z^2-1) ogf] A379382 9.11255 [1/2/(2*x+1)*(2*x+1+(-12*x^2-4*x+1)^(1/2))*x revogf] A379383 13.4119 [RootOf(2*_Z^5*x-_Z^2+2*_Z*x+1) ogf] A379421 9.17021 [(x^4+4*x^3+7*x^2+5*x+2)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A379508 11.7340 [-(x^2+62*x+1)/(x-1)/(x^2-34*x+1) ogf] A379508 6.66255 [{-a(n)+35*a(n+1)-35*a(n+2)+a(n+3) a(0) = 1 a(1) = 97 a(2) = 3361} ogf] A379508 7.08271 [-(x^4+124*x^3-2202*x^2-68*x+97)/(x^5+27*x^4-2134*x^3+2134*x^2-27*x-1) lgdogf] A379509 9.62282 [(x^3-111*x^2-153*x+7)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A379511 29.1847 [-2/(x-1) lgdogf] A379521 12.8063 [x/(4*x^5+16*x^4+25*x^3+19*x^2+7*x+1) revogf] A379522 9.77390 [x/(8*x^6+36*x^5+66*x^4+63*x^3+33*x^2+9*x+1) revogf] A379530 11.4149 [-(2*x^3+x^2+3*x+1)/(8*x^2-1)/(x^2+1) ogf] A379530 7.78778 [{-8*a(n)-7*a(n+2)+a(n+4) a(0) = 1 a(1) = 3 a(2) = 8 a(3) = 23} ogf] A379540 10.5660 [-(4*x^3-24*x^2-24*x-16)/(2*x^4-12*x^3+9*x^2-2*x+3) lgdogf] A379540 16.4359 [x^2*(2*x^3-10*x^2-x-3)/(x-1)^5 ogf] A379546 10.6561 [x/(8*x^5+28*x^4+38*x^3+25*x^2+8*x+1) revogf] A379547 8.55549 [x/(16*x^6+64*x^5+104*x^4+88*x^3+41*x^2+10*x+1) revogf] A379591 5.90189 [(68426531000*x^5+930573469*x^4+473552000*x^3+456058448*x^2+543467*x-1000)/(1000*x-1) ogf] A379703 10.9348 [x^3*(3*x^5+2*x^4-10*x^3-5*x^2+12*x+6)/(x+1)^3/(x-1)^4 ogf] A379726 21.1685 [-(2*x^6-2*x^5-4*x^3+5*x^2+x+2)/(x^2+x+1)^2/(x-1)^3 ogf] A379732 6.67077 [-(5*x^7-3*x^6-11*x^5+8*x^4+5*x^3-4*x^2+9)/(x-1)/(x+1)/(x^2-x+1) ogf] A379741 13.3556 [3*x^3/(8*x-1)/(5*x-1)/(-1+7*x)^2 ogf] A379741 9.43797 [-(1120*x^2-353*x+27)/(280*x^3-131*x^2+20*x-1) lgdogf] A379745 11.2639 [-(162*x^4-366*x^3+322*x^2-130*x+20)/(54*x^5-159*x^4+182*x^3-102*x^2+28*x-3) lgdogf] A379745 17.2001 [-x^2*(9*x^2-10*x+3)/(2*x-1)/(3*x-1)^2/(x-1)^2 ogf] A379759 9.45550 [-(3*x^6-3*x^5-6*x^3+7*x^2+2*x+3)/(x^2+x+1)^2/(x-1)^3 ogf] A379766 8.63640 [-(4*x^6-2*x^5-2*x^4-8*x^3+7*x^2+5*x+4)/(x^2+x+1)^2/(x-1)^3 ogf] A379808 10.4887 [-x*(3*x^21+x^20-3*x^19+x^18-x^17-x^16+x^13-x^12-1)/(x-1)^2 ogf] A379809 16.2667 [-36*x^4+36*x^3-11*x^2+x revogf] A379825 14.9508 [-(24*x-6)/(12*x^2-6*x+1) lgdogf] A379825 21.9864 [x/(12*x^2-6*x+1) ogf] A379825 9.11633 [{12*a(n)-6*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A380001 11.4059 [-(32*x^2+16*x-13)/(32*x^3-28*x^2-5*x+1) lgdogf] A380001 16.0614 [x*(1+4*x)/(8*x-1)/(x-1) ogf] A380001 6.66956 [{8*n*a(n)-9*n*a(n+1)+n*a(n+2) a(0) = 0 a(1) = 1 a(2) = 13} ogf] A380024 12.0430 [x*(13*x^2-7*x+1)/(4*x-1)/(3*x-1)^3 ogf] A380024 7.67579 [-(312*x^3-239*x^2+64*x-6)/(156*x^4-175*x^3+74*x^2-14*x+1) lgdogf] A380082 17.0265 [-(16*x+12)/(4*x^2-1) lgdegf] A380082 18.6481 [-12*x*(2*x+1)/(2*x-1)^5 egf] A380082 7.99204 [{(-2*n^2-10*n-12)*a(n)+n*a(n+1) a(0) = 0 a(1) = 12} ogf] A380115 10.2023 [-1/2*(-4*x+1+(-(1+4*x)*(4*x-1))^(1/2))/(4*x-1) ogf] A380115 7.72324 [{-16*n*a(n)-4*a(n+1)+(n+2)*a(n+2) a(0) = 1 a(1) = 2} ogf] A380115 9.72219 [1/2*(-4*x-1+(-16*x^2+1)^(1/2))/x/(4*x+1)/(4*x-1) lgdogf] A380152 14.3823 [-(4*x^4+x^2+x+3)/(x-1)/(x+1) ogf] A380152 9.63763 [-(-8*x^5+16*x^3+x^2+8*x+1)/(4*x^6-3*x^4+x^3+2*x^2-x-3) lgdogf] A380208 10.2776 [exp(-1)*exp((3*x+1)*(1/(3*x+1)^2)^(1/3)) egf] A380208 23.8589 [1/(3*x+1)^(2/3) lgdegf] A380209 24.9859 [3*(2*x+1)^(1/2) lgdegf] A380209 6.95261 [-I*(I*cos((-2*x-1)^(3/2))-sin((-2*x-1)^(3/2)))/(sinh(1)+cosh(1)) egf] A380210 22.2808 [5*(2*x+1)^(3/2) lgdegf] A380210 6.54114 [(I*sin((-2*x-1)^(5/2))-cos((-2*x-1)^(5/2)))*(-cosh(1)+sinh(1)) egf] A380212 22.1753 [3/(-2*x+1)^(5/2) lgdegf] A380212 6.17051 [-I/(sinh(1)+cosh(1))*(I*cos(1/(2*x-1)^(3/2))+sin(1/(2*x-1)^(3/2))) egf] A380213 21.4068 [5/(-2*x+1)^(7/2) lgdegf] A380214 22.1753 [2/(1-3*x)^(5/3) lgdegf] A380215 11.3349 [exp(-1)*exp((3*x+1)*(1/(3*x+1))^(1/3)) egf] A380215 23.0242 [2/(3*x+1)^(1/3) lgdegf] A380242 7.21216 [{(-135*n^2-135*n-30)*a(n)+(2*n^2+7*n+6)*a(n+1) a(0) = 1} ogf] A380249 10.5694 [-(23*x^3-26*x^2+9*x-1)/(4*x-1)/(3*x-1)^3 ogf] A380249 6.32280 [-(276*x^4-440*x^3+229*x^2-50*x+4)/(276*x^5-473*x^4+313*x^3-101*x^2+16*x-1) lgdogf] A380257 24.1865 [1/(1-3*x)^(5/3) lgdegf] A380258 26.9206 [1/(1-5*x)^(7/5) lgdegf] A380259 22.9246 [1/(-2*x+1)^(5/2) lgdegf] A380260 26.9876 [(2*x+1)^(1/2) lgdegf] A380261 22.8959 [1/(3*x+1)^(1/3) lgdegf] A380261 8.32580 [exp(-1/2)*exp(1/2*(3*x+1)*(1/(3*x+1))^(1/3)) egf] A380262 24.3968 [1/(5*x+1)^(3/5) lgdegf] A380286 8.48315 [-(x^7-x^6+2*x^5-2*x^4+x^3-2*x^2+x-1)/(x^2+1)/(x-1)^2 ogf] A380307 24.9226 [1/(5*x+1)^(4/5) lgdegf] A380308 20.8359 [-1/(-2*x+1)^(3/2) lgdegf] A380308 5.79782 [-I*(sinh(1)+cosh(1))*(sin(1/(2*x-1)^(1/2))+I*cos(1/(2*x-1)^(1/2))) egf] A380309 19.1389 [-1/(1-3*x)^(4/3) lgdegf] A380310 22.3593 [-1/(1-5*x)^(6/5) lgdegf] A380340 16.5804 [-(2*x^4+x^2+1)/(x-1) ogf] A380340 8.46296 [-(-6*x^4+8*x^3-x^2+2*x+1)/(2*x^5-2*x^4+x^3-x^2+x-1) lgdogf] A380353 12.9993 [-(x^2+3*x+1)*(x^2+4*x+1)/(x-1)^5 ogf] A380353 8.44955 [-(x^4+18*x^3+63*x^2+56*x+12)/(x^5+6*x^4+7*x^3-7*x^2-6*x-1) lgdogf] A380384 10.0501 [-(4*x^4+x^3+9*x^2-3*x-3)/(2*x^5-x^4-2*x+1) lgdogf] A380384 11.6523 [-x*(x^2+1)/(x+1)/(2*x-1)/(x-1)^2 ogf] A380418 7.57468 [2*x*(2*x^2+1)/(x^4+x^2+1) lgdogf] A380418 9.27511 [(x^2+x+1)*(x^2-x+1) ogf] A380445 10.1586 [-(12*x^3+40*x^2+4*x+4)/(4*x^4+3*x^3-9*x^2+3*x-1) lgdogf] A380445 15.7171 [x^2*(4*x^3+7*x^2-2*x+1)/(x-1)^6 ogf] A380451 12.1648 [-(x^3-2*x^2+x+2)/(x^4-x^3-4*x^2+7*x-1) ogf] A380461 7.56220 [-(2*x^2+5*x+1)/(4*x^2+7*x-1)/(2*x^2+3*x-1)/(x^2+x-1) ogf] A380465 16.1737 [RootOf(25*_Z^7*x-_Z^5+1) ogf] A380466 14.7688 [RootOf(25*_Z^8*x-_Z^5+1) ogf] A380472 6.73690 [{(-16*n^4-144*n^3-476*n^2-684*n-360)*a(n)+a(n+2) a(0) = 1 a(1) = 24} ogf] A380501 10.8095 [-(92*x^7+31*x^6+27*x^4+28*x^3+27*x+338)/(x-1) ogf] A380502 9.69596 [-(34*x^6+132*x^5+303*x^4+118*x^3+48*x^2-6*x+1)/(x-1)^7 ogf] A380511 12.3570 [hypergeom([2/3 4/3],[3/2],27/4*x) lgdegf] A380512 12.6466 [hypergeom([4/3 5/3],[5/2],27/4*x) lgdegf] A380554 19.9100 [x/(x^16+x^4+x+1) revogf] A380603 11.9590 [2*hypergeom([2/3 4/3],[3/2],27/4*x) lgdegf] A380612 7.14242 [1/2*BesselK(1,1/8/x)/Pi^(1/2)*(1/x)^(1/2)*exp(1/8/x) egf] A380612 8.64609 [{(4*n^2+4*n-3)*a(n)+a(n+1) a(0) = 1} ogf] A380636 11.7542 [4/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2))^2 lgdegf] A380637 10.3177 [hypergeom([4/3 5/3],[5/2],81/4*x) lgdegf] A380639 11.9327 [-(2*x+1)/(8*x^3-12*x^2+6*x-1) lgdegf] A380639 20.6110 [exp(x/(2*x-1)^2) egf] A380640 12.6987 [hypergeom([2/3 4/3],[3/2],27/2*x) lgdegf] A380641 10.0116 [-(-6*x-1)/(81*x^4-108*x^3+54*x^2-12*x+1) lgdegf] A380641 18.6702 [exp(-x/(3*x-1)^3) egf] A380651 12.2650 [-(13*x^2-7*x+1)/(4*x-1)/(3*x-1)^2 ogf] A380651 7.81727 [-(156*x^3-116*x^2+31*x-3)/(156*x^4-175*x^3+74*x^2-14*x+1) lgdogf] A380693 7.31016 [(x+1)*(x^2+1)*(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A380696 7.65332 [-(x^4+x^3+2*x^2-x-1)/(x^2+1)/(x^2+x-1)/(x^2-x-1) ogf] A380761 13.2356 [RootOf(_Z^6*x+_Z^2*x-_Z+1) ogf] A380788 11.3794 [-(32*x^23-32*x^22+8*x^7-8*x^6+x-2)/(x-1)^2 ogf] A380821 12.9998 [(x^2-7*x+5)/(x-1)/(x^2+x-1) ogf] A380821 7.92995 [-(x^4-14*x^3+17*x^2-2*x-3)/(x^5-7*x^4+3*x^3+15*x^2-17*x+5) lgdogf] A380821 8.43610 [{a(n)-2*a(n+2)+a(n+3) a(0) = 5 a(1) = 3 a(2) = 7} ogf] A380823 7.42090 [-(28*x^4-35*x^3-34*x^2+54*x-15)/(x-1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A380864 14.6673 [-(16*x-6)/(32*x^2-12*x+1) lgdogf] A380864 18.2446 [-(-4*x+1)^(1/2)/(-1+8*x) ogf] A380904 72.3503 [10*x/(x-1)^2 ogf] A380904 77.5182 [-2/(x-1) lgdogf] A380938 7.85947 [-(158*x^8-99*x^7-59*x^6+53*x^5+x^4-54*x^3+53*x^2+622*x-676)/(x-1)^2 ogf] A380985 8.51226 [-(1900*x^4-1090*x^3+100*x^2-9*x-1)/(10*x-1)/(x-1) ogf] A380996 11.1008 [-(22*x^2-20*x+3)/(x-1)/(6*x-1)/(2*x-1) ogf] A380996 6.85354 [{-12*a(n)+20*a(n+1)-9*a(n+2)+a(n+3) a(0) = 3 a(1) = 7 a(2) = 25} ogf] A380996 7.03711 [-(264*x^4-480*x^3+310*x^2-76*x+7)/(264*x^5-680*x^4+634*x^3-262*x^2+47*x-3) lgdogf] A381005 11.1282 [(80*x^2-28*x-7)/(x-1)/(4*x-1)/(16*x-1) ogf] A381006 13.4317 [-24*(-1+8*x)/(16*x-1)/(4*x-1) ogf] A381006 7.87377 [{64*a(n)-20*a(n+1)+a(n+2) a(0) = 24 a(1) = 288} ogf] A381006 9.25700 [-(512*x^2-128*x+12)/(512*x^3-224*x^2+28*x-1) lgdogf] A381007 9.13357 [-(208*x^2-188*x+25)/(x-1)/(4*x-1)/(16*x-1) ogf] A381008 13.8284 [-8*(40*x-7)/(16*x-1)/(4*x-1) ogf] A381008 8.10632 [{64*a(n)-20*a(n+1)+a(n+2) a(0) = 56 a(1) = 800} ogf] A381008 8.92722 [-(2560*x^2-896*x+100)/(2560*x^3-1248*x^2+180*x-7) lgdogf] A381009 6.81128 [12*(163840*x^3-24832*x^2-280*x+7)/(4*x-1)/(256*x-1)/(64*x-1)/(16*x-1) ogf] A381021 10.7636 [-1/2*exp(x)*(I*ln(x-1)+Pi)^2 egf] A381024 9.96213 [1/2*exp(x)*(I*ln(x-1)+Pi)^2/(x-1) egf] A381052 10.9521 [-1/2*exp(3*x)*(I*ln(x-1)+Pi)^2 egf] A381055 12.6799 [x*(2*x^2-x+4)/(x-1)^2/(x+1)^2 ogf] A381055 8.92294 [-(4*x^3-3*x^2+20*x-1)/(2*x^4-x^3+2*x^2+x-4) lgdogf] A381064 10.4293 [-1/2*exp(-x)*(I*ln(x-1)+Pi)^2 egf] A381067 8.95315 [1/2*exp(-x)*(I*ln(x-1)+Pi)^2/(x-1) egf] A381109 12.1257 [-(7*x^2+40*x+16)/(7*x^3+6*x^2-12*x-1) lgdogf] A381109 17.6612 [-(7*x^2+13*x+1)/(x-1)^3 ogf] A381109 7.81172 [{(-21*n^2-51*n-32)*a(n)+(21*n^2+9*n+2)*a(n+1) a(0) = 1} ogf] A381193 11.9463 [(6*x^5+14*x^4-49*x^3+51*x^2-24*x+5)/(x-1)^6 ogf] A381195 14.9816 [2/(1+(-1728*x+1)^(1/2)) ogf] A381195 7.40665 [{(-1728*n-864)*a(n)+(n+2)*a(n+1) a(0) = 1} ogf] A381195 9.69400 [864/(1-1728*x)^(1/2)/(1+(1-1728*x)^(1/2)) lgdogf] A381196 11.8004 [-(13*x^2+78*x+29)/(13*x^3+13*x^2-25*x-1) lgdogf] A381196 17.5749 [-(13*x^2+26*x+1)/(x-1)^3 ogf] A381196 7.94254 [{(-20*n^2-48*n-29)*a(n)+(20*n^2+8*n+1)*a(n+1) a(0) = 1} ogf] A381219 12.2339 [-(108*x^2-72*x+11)/(36*x^3-36*x^2+11*x-1) lgdegf] A381219 17.7267 [-1/(6*x-1)/(3*x-1)/(2*x-1) egf] A381273 9.07052 [1/2*exp(2*x)*(2*x+1)-1/2*exp(-2*x)*(2*x-1) lgdegf] A381274 9.05233 [1/2*exp(3*x)*(3*x+1)-1/2*exp(-3*x)*(3*x-1) lgdegf] A381275 13.9891 [cos(2*x)-2*sin(2*x)*x lgdegf] A381276 14.2663 [cos(3*x)-3*sin(3*x)*x lgdegf] A381277 14.2303 [1/2*exp(-3*x)+1/2*exp(3*x) lgdegf] A381278 29.3952 [cos(3*x) lgdegf] A381342 9.40870 [-sin(2^(1/2)*x)*2^(1/2)*x+cos(2^(1/2)*x) lgdegf] A381343 22.7049 [cos(2^(1/2)*x) lgdegf] A381350 8.35564 [(x^6+x^5-x^4+6*x^3-x^2+x+1)/(x^2+1)^2/(x+1)^4/(x-1)^8 ogf] A381357 3.77910 [-(x^9+x^8-x^7+2*x^6-x^5+x^3+x^2-2*x+1)/(x^7+x^3-3*x^2+3*x-1) ogf] A381374 7.26555 [-(x^9+x^8-4*x^7+92*x^6+54*x^5+294*x^4+44*x^3+92*x^2+x+1)/(x-1)^5/(x+1)^5 ogf] A381390 12.2941 [-(9*x^2+46*x+17)/(9*x^3+5*x^2-13*x-1) lgdogf] A381390 17.9065 [-(9*x^2+14*x+1)/(x-1)^3 ogf] A381390 7.92021 [{(-12*n^2-28*n-17)*a(n)+(12*n^2+4*n+1)*a(n+1) a(0) = 1} ogf] A381421 9.19073 [(x^4+6*x^3-x^2-2*x+1)/(x^2+x+1)^2/(x^2-3*x+1)^2 ogf] A381424 11.7327 [-(19*x^2+94*x+31)/(19*x^3+9*x^2-27*x-1) lgdogf] A381424 17.2246 [-(19*x^2+28*x+1)/(x-1)^3 ogf] A381424 7.78421 [{(-24*n^2-54*n-31)*a(n)+(24*n^2+6*n+1)*a(n+1) a(0) = 1} ogf] A381439 9.43876 [(x^29-x^25-2*x^3+x^2+2*x+3)/(x^2+x+1)/(x-1)^2 ogf] A381484 21.4382 [-x/(3*x-1) lgdegf] A381484 6.07099 [{(-n-1)*a(n)+(-3*n-3)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A381504 23.1233 [-x/(4*x-1) lgdegf] A381504 6.54819 [{(-n-1)*a(n)+(-4*n-4)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A381505 13.2264 [(-1)^(1/9)*exp(2/3*x)/(3*x-1)^(1/9) egf] A381505 17.5250 [-(-2*x+1)/(3*x-1) lgdegf] A381505 6.14913 [{(2*n+2)*a(n)+(-3*n-4)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A381506 11.9383 [(-1)^(1/16)*exp(3/4*x)/(4*x-1)^(1/16) egf] A381506 16.4152 [-(1-3*x)/(4*x-1) lgdegf] A381506 5.75973 [{(3*n+3)*a(n)+(-4*n-5)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A381513 12.6774 [1/(x-1)/(25*x-1)/(9*x-1)/(49*x-1) ogf] A381513 7.19199 [-(44100*x^3-38748*x^2+3948*x-84)/(11025*x^4-12916*x^3+1974*x^2-84*x+1) lgdogf] A381517 10.7306 [{24*a(n)-11*a(n+1)+a(n+2) a(0) = 4 a(1) = 16} ogf] A381517 12.6681 [-(168*x^2-48*x+4)/(168*x^3-101*x^2+18*x-1) lgdogf] A381517 18.6143 [-4*(7*x-1)/(-1+8*x)/(3*x-1) ogf] A381534 6.58540 [-(4*x^5-6*x^4+12*x^3+4*x^2+8*x+2)/(2*x^6-2*x^5-x^4+4*x^3-2*x-1) lgdogf] A381534 9.47215 [-(2*x^4-2*x^3+x^2+2*x+1)/(x-1)^3/(x+1)^3 ogf] A381536 7.45465 [{(-27*n^4-90*n^3-105*n^2-50*n-8)*a(n)+8*a(n+1) a(0) = 1} ogf] A381643 11.2396 [x^3*(8*x-3)/(4*x-1)/(3*x-1)^2/(2*x-1)^2 ogf] A381643 7.29384 [-(768*x^3-824*x^2+292*x-34)/(192*x^4-280*x^3+150*x^2-35*x+3) lgdogf] A381646 10.3499 [-2*x^4*(8*x-3)/(4*x-1)/(3*x-1)^2/(2*x-1)^3 ogf] A381646 7.08154 [-(960*x^3-1008*x^2+350*x-40)/(192*x^4-280*x^3+150*x^2-35*x+3) lgdogf] A381681 11.0596 [-exp(-1)*(Ei(1,x-1)-Ei(1,-1))/(x-1) egf] A381698 7.83855 [-(391168*x^8-587264*x^7+196096*x^6-8*x^2-2*x+7)/(x-1)/(2*x-1)/(4*x-1) ogf] A381705 14.2371 [-(4*x^2-9*x+3)/(3*x-1)/(x-1)^2 ogf] A381705 9.32780 [-(12*x^3-42*x^2+28*x-6)/(12*x^4-43*x^3+49*x^2-21*x+3) lgdogf] A381724 13.6117 [-4/(32*x^3-24*x^2+8*x-1) lgdegf] A381724 13.9142 [4*(8*x^2-4*x+1)/(4*x-1)^2 egf] A381724 6.73268 [{(-4*n^2-8*n)*a(n)+n*a(n+1) a(0) = 4 a(1) = 16} ogf] A381737 12.4087 [(x^4+x^3-5*x^2-5*x-8)/(x+1)^2/(x-1)^3 ogf] A381737 7.38103 [-(x^5+3*x^4-10*x^3-22*x^2-55*x-13)/(x^6+x^5-6*x^4-6*x^3-3*x^2+5*x+8) lgdogf] A381773 8.61735 [RootOf(_Z^6*x^2+_Z^5*x-_Z^4*x+2*_Z^3*x-_Z+1) ogf] A381779 8.84011 [RootOf(1+(2*x-1)*_Z+(x^2-x)*_Z^2+x*_Z^5) ogf] A381780 9.35908 [RootOf(_Z^5*x+_Z^4*x^2-_Z^3*x+2*_Z^2*x-_Z+1) ogf] A381782 8.54806 [RootOf(_Z^6*x^2-_Z^4*x+2*_Z^3*x+_Z^2*x-_Z+1) ogf] A381783 10.9095 [RootOf(_Z^6*x^2-_Z^4*x+3*_Z^3*x-_Z+1) ogf] A381786 11.3926 [RootOf(x^2+2*x+1+(-x-1)*_Z+x*_Z^5) ogf] A381787 11.0764 [-1/2+1/2*(1+2*x*(1-4*x)^(1/2)+2*x)^(1/2) revogf] A381790 15.0415 [(5*x^2-2*x-1)/(2*x-1)/(x-1)^2 ogf] A381790 9.49052 [-(10*x^3+2*x^2-14*x+6)/(10*x^4-19*x^3+9*x^2+x-1) lgdogf] A381791 10.5804 [-(66*x^2-100*x+42)/(66*x^3-149*x^2+108*x-25) lgdogf] A381791 15.3519 [-(33*x-25)/(2*x-1)/(x-1) ogf] A381791 9.32082 [{2*a(n)-3*a(n+1)+a(n+2) a(0) = 25 a(1) = 42} ogf] A381816 13.4034 [(2*x^3-4*x^2-3*x+1)/(x+1)/(x-1)^3 ogf] A381816 8.34298 [-(2*x^4-4*x^3-11*x^2-10*x-1)/(2*x^5-4*x^4-5*x^3+5*x^2+3*x-1) lgdogf] A381817 11.4641 [(-1/2-1/2*(1-4*x)^(1/2))*(x-1)*x revogf] A381817 9.05809 [RootOf(_Z^5*x^3-2*_Z^4*x^2+_Z^3*x+_Z^2*x-_Z+1) ogf] A381840 13.4022 [RootOf(_Z^7*x^2-_Z^4*x+_Z-1) ogf] A381847 8.39082 [-x^2*(2*x^2+3*x+2)*(x^2+1)/(x^2+x+1)/(x+1)^2/(x-1)^3 ogf] A381853 12.5268 [1/(5*x+1)/(3*x-1)/(7*x-1)/(x+1) ogf] A381853 8.02281 [-(420*x^3+228*x^2-68*x-4)/(105*x^4+76*x^3-34*x^2-4*x+1) lgdogf] A381858 13.8633 [-1/(2*x^5+3*x^4+2*x^3+x^2+x-1) ogf] A381858 8.06338 [-(10*x^4+12*x^3+6*x^2+2*x+1)/(2*x^5+3*x^4+2*x^3+x^2+x-1) lgdogf] A381859 14.7776 [-(x-1)/(x^5-x^3-2*x+1) ogf] A381859 7.25202 [-(4*x^5-5*x^4-2*x^3+3*x^2+1)/(x^6-x^5-x^4+x^3-2*x^2+3*x-1) lgdogf] A381862 16.7690 [-(6*x-20)/(x^2-4*x+3) lgdogf] A381862 22.2075 [5*(x-3)/(x-1)^7 ogf] A381862 7.90076 [{(-n^2-16*n-60)*a(n)+(n^2+10*n+9)*a(n+1) a(0) = 15} ogf] A381863 12.5425 [5*(11*x^3-54*x^2+75*x+24)/(x-1)^10 ogf] A381863 7.82223 [-(77*x^3-399*x^2+567*x+315)/(11*x^4-65*x^3+129*x^2-51*x-24) lgdogf] A381866 5.41354 [{(-128*n^5-480*n^4-680*n^3-450*n^2-137*n-15)*a(n)+15*a(n+1) a(0) = 1} ogf] A381875 12.0716 [-x*(x^3-2*x^2+x-1)*(x-1)^2 revogf] A381876 10.9096 [-x*(x^4-3*x^3+3*x^2-x+1)*(x-1)^3 revogf] A381877 9.65433 [-x*(x^5-4*x^4+6*x^3-4*x^2+x-1)*(x-1)^4 revogf] A381879 11.5431 [(1/2+1/2*(1-4*x)^(1/2))*(x-1)^2*x revogf] A381881 11.0601 [(1/2+1/2*(1-4*x)^(1/2))*x/(x+1)^2 revogf] A381882 11.1791 [(1/2+1/2*(1-4*x)^(1/2))*x/(x+1)^3 revogf] A381889 11.3554 [exp(2*x)*(BesselI(0,2*x)+BesselI(1,2*x))^2 egf] A381996 1.64544 [-(x^6+x^2-x+1)/(x-1) ogf_with_Euler_transform] A382057 11.0560 [(6*x^3+18*x^2+19*x+8)/(x+1)/(6*x^2+6*x+1) ogf] A382081 14.3969 [-x^3*(5*x^3+6*x^2+3*x+1)/(x-1)^7 ogf] A382081 9.76936 [-(20*x^3+45*x^2+30*x+10)/(5*x^4+x^3-3*x^2-2*x-1) lgdogf] A382084 9.81432 [-(112*x^6-54*x^5+51*x^4-32*x^3+18*x^2-6*x+1)/(x-1)^7 ogf] A382134 11.1632 [I/(2*x-1)^(1/2)*exp(-x*(x+1)) egf] A382134 21.9776 [-4*x^2/(2*x-1) lgdegf] A382139 14.2077 [I*exp(-x^2)/(2*x-1)^(1/2) egf] A382139 15.0958 [-(4*x^2-2*x+1)/(2*x-1) lgdegf] A382152 11.3257 [1/(x-1)^2 ogf] A382152 8.49432 [-2/(x-1) lgdogf] A382154 10.6773 [{(-n^2-2*n)*a(n)+n^2*a(n+2) a(0) = 1 a(1) = 4 a(2) = 4} ogf] A382154 11.4479 [-(4*x^4+8*x^3+24*x^2+8*x+4)/(x^6+4*x^5+x^4-x^2-4*x-1) lgdogf] A382154 16.0934 [(x^2+1)*(x^2+4*x+1)/(x-1)^2/(x+1)^2 ogf] A382155 13.9119 [-(2*x^6-5*x^4-2*x^3-4*x^2-2*x-1)/(x-1)^2/(x+1)^2 ogf] A382156 14.4681 [(2*x^6-5*x^4-2*x^3-4*x^2-2*x-1)/(x+1)^2/(x-1)^3 ogf] A382170 11.3428 [-x*(5*x^2-1)/(x-1)/(5*x-1)/(5*x^2+2*x+1) ogf] A382170 7.52929 [-(250*x^5-100*x^4-100*x^3+80*x^2-6*x+4)/(125*x^6-100*x^5-35*x^4+7*x^2+4*x-1) lgdogf] A382171 11.9013 [-x*(3*x^2-1)/(x-1)/(3*x-1)/(3*x^2+1) ogf] A382171 7.82702 [-(54*x^5-36*x^4-36*x^3+48*x^2-18*x+4)/(27*x^6-36*x^5+9*x^4-3*x^2+4*x-1) lgdogf] A382182 10.1226 [exp(x)/(x^2+x+1)/(x-1)*(2*x^4-x^2-x-1) egf] A382189 11.6071 [-(18*x^8+6*x^2+2)/(4*x^9+4*x^3+4*x-1) lgdogf] A382189 17.0401 [I/(4*x^9+4*x^3+4*x-1)^(1/2) ogf] A382190 10.5274 [-(27*x^8+9*x^2+3)/(9*x^9+9*x^3+9*x-1) lgdogf] A382190 14.8243 [(-1)^(1/3)/(9*x^9+9*x^3+9*x-1)^(1/3) ogf] A382196 16.4352 [(9*x^9+9*x^3+9*x+1)^(1/3) ogf] A382196 9.76590 [-(-27*x^8-9*x^2-3)/(9*x^9+9*x^3+9*x+1) lgdogf] A382209 8.98116 [-90*(x^2+78*x+1)/(x-1)/(x^2-1442*x+1) ogf] A382230 7.17938 [-(x^2+x-1)*(x^4+14*x^3-x^2-2*x+1)/(x^2+x+1)^3/(x^2-3*x+1)^3 ogf] A382251 12.9190 [-(26*x^2+110*x+32)/(13*x^3+15*x^2-27*x-1) lgdogf] A382251 21.3314 [(13*x^2+28*x+1)/(x-1)^4 ogf] A382274 12.5773 [-(10*x+10)/(x^3-7*x^2+7*x-1) lgdogf] A382274 14.8874 [-1/(x^2-6*x+1)^(5/2)*(x-1)^5 ogf] A382300 7.28574 [(x^6+6*x^5+x^4-2*x^3-2*x^2+1)/(x^3-x^2-2*x-1)^2/(x^3-x^2+2*x-1)^2 ogf] A382332 12.0731 [-(14*x+14)/(x^3-7*x^2+7*x-1) lgdogf] A382332 14.2906 [-1/(x^2-6*x+1)^(7/2)*(x-1)^7 ogf] A382379 7.46806 [-4*(x^4+2*x^3+2*x^2-3*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A382406 12.2443 [-(9*x^2+12*x+3)/(x^3+2*x^2+x-1) lgdogf] A382406 19.4117 [-1/(x^3+2*x^2+x-1)^3 ogf] A382409 8.43493 [-(3*x^4+12*x^3+6*x^2-17*x+6)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A382411 12.7988 [-(8*x^2+2*x+2)/(4*x^3-6*x^2+3*x-1) lgdegf] A382411 19.9786 [(4*x^2-2*x+1)/(x-1)^4 egf] A382411 7.58450 [{(-n^3-3*n^2-4*n-4)*a(n)+(n^2-n+2)*a(n+1) a(0) = 1} ogf] A382432 8.75124 [-(x-1)*(I*x-(4*x-1)^(1/2))/(4*x-1)^(1/2)/(x^2+4*x-1) ogf] A382445 10.3540 [2*(x^3-3*x^2+2*x+1)/(2*x^4-4*x^3+2*x^2-x+1) lgdogf] A382445 16.9045 [-(2*x^3-2*x^2-1)/(x-1)^2 ogf] A382449 16.3416 [(x+1)/(-2*x+1)^(5/2) lgdegf] A382478 10.7571 [-(x^2+1)*(x^5+2*x+1)/(x^8+x^6+x^4+x^2-1) ogf] A382488 7.05772 [{-a(n)+a(n+6) a(0) = 1 a(1) = 2 a(2) = 2 a(3) = 2 a(4) = 1 a(5) = 4} ogf] A382514 6.55125 [(x+(-64*x^3+48*x^2-12*x+1)^(1/2))/(64*x^3-47*x^2+12*x-1)*(2*x+1)/(-1+4*x) lgdogf] A382536 6.66440 [-(16*x^3+8*x^2+(4*x+1)^(1/2)+x)/(64*x^5+48*x^4+12*x^3+x^2-1)*(10*x+1) lgdogf] A382536 6.96192 [-(4*(4*x+1)^(1/2)*x^2+(4*x+1)^(1/2)*x+1)/(64*x^5+48*x^4+12*x^3+x^2-1) ogf] A382539 7.08411 [I*(I*x^2-4*I*x+2*(4*x-1)^(1/2)*x+I)*(4*x-1)/(x^2+4*x-1)^2 ogf] A382539 8.77466 [-2*(x+(1-4*x)^(1/2))/(x^2+4*x-1)*(-1+2*x)/(-1+4*x) lgdogf] A382540 8.44956 [-3*(x+(1-4*x)^(1/2))/(x^2+4*x-1)*(-1+2*x)/(-1+4*x) lgdogf] A382541 6.13812 [2*(x+(-64*x^3+48*x^2-12*x+1)^(1/2))/(64*x^3-47*x^2+12*x-1)*(2*x+1)/(-1+4*x) lgdogf] A382542 6.35069 [3*(x+(-64*x^3+48*x^2-12*x+1)^(1/2))/(64*x^3-47*x^2+12*x-1)*(2*x+1)/(-1+4*x) lgdogf] A382570 8.09975 [(x^5+x^4+x^3-2*x^2+3*x-1)/(x^5+x^4+2*x^3-4*x^2+4*x-1) ogf] A382574 8.26379 [(3*x^7+6*x^6+7*x^5-13*x^4+11*x^3-3*x+1)/(x^4-4*x^2+1)/(x-1)^4 ogf] A382608 8.48470 [-4*(x^3-x^2-2*x+1)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A382612 11.2484 [-(6*x^4+126*x^3+354*x^2+210*x+24)/(3*x^5+35*x^4+22*x^3-42*x^2-17*x-1) lgdogf] A382612 18.8060 [x*(3*x^4+38*x^3+60*x^2+18*x+1)/(x-1)^6 ogf] A382613 17.5099 [1/(x^4+3*x^3+3*x^2+x-1)^2 ogf] A382613 9.60912 [-(8*x^3+18*x^2+12*x+2)/(x^4+3*x^3+3*x^2+x-1) lgdogf] A382614 16.1849 [-1/(x^4+3*x^3+3*x^2+x-1)^3 ogf] A382614 9.55499 [-(12*x^3+27*x^2+18*x+3)/(x^4+3*x^3+3*x^2+x-1) lgdogf] A382615 11.6070 [-(-6*x-3)/(x^4-4*x^3+7*x^2-5*x+1) lgdogf] A382615 15.1601 [(x-1)^9/(x^3-3*x^2+4*x-1)^3 ogf] A382616 11.8444 [-(-4*x-2)/(x^4-4*x^3+7*x^2-5*x+1) lgdogf] A382616 15.4702 [(x-1)^6/(x^3-3*x^2+4*x-1)^2 ogf] A382618 11.6324 [-(21*x^2-16*x+4)/(21*x^3-22*x^2+8*x-1) lgdogf] A382618 17.5777 [-(7*x^2-5*x+1)/(3*x-1)^3 ogf] A382618 7.67961 [{(-3*n^2-21*n-72)*a(n)+(n^2+5*n+18)*a(n+1) a(0) = 1} ogf] A382640 10.0961 [-(37*x^6+27*x^5+21*x^4-2*x^3+9*x^2-3*x+1)/(x-1)^7 ogf] A382641 12.3397 [(x^2+1)*(x^6-x^4-1)/(x^3+x-1) ogf] A382643 17.8138 [(x+1)/(1-3*x)^(7/3) lgdegf] A382647 7.06031 [-2*(4*x^2+(4*x+1)^(1/2)+x)/(16*x^4+8*x^3+x^2-4*x-1)*(1+6*x) lgdogf] A382647 8.80360 [(4*x^3+2*(4*x+1)^(1/2)*x+x^2+1)/(4*x^3+x^2-1)^2 ogf] A382648 7.90149 [-3*(4*x^2+(4*x+1)^(1/2)+x)/(16*x^4+8*x^3+x^2-4*x-1)*(1+6*x) lgdogf] A382649 6.81703 [-2*(16*x^3+8*x^2+(4*x+1)^(1/2)+x)/(64*x^5+48*x^4+12*x^3+x^2-1)*(10*x+1) lgdogf] A382650 6.71113 [-3*(16*x^3+8*x^2+(4*x+1)^(1/2)+x)/(64*x^5+48*x^4+12*x^3+x^2-1)*(10*x+1) lgdogf] A382652 18.4028 [(2*x+1)/(1-3*x)^(8/3) lgdegf] A382656 11.0422 [(x+1)*(3*x^2-8*x+3)/(x^2-3*x+1)/(x-1)^2 ogf] A382656 7.19718 [-(3*x^5-7*x^4-21*x^3+71*x^2-48*x+10)/(3*x^6-17*x^5+27*x^4-27*x^2+17*x-3) lgdogf] A382675 6.34620 [{-6*a(n)+11*a(n+1)-6*a(n+2)+a(n+3) a(0) = 1 a(1) = 10 a(2) = 52} ogf] A382675 7.01744 [-(18*x^4+48*x^3-44*x^2-16*x+10)/(18*x^5-9*x^4-20*x^3+10*x^2+2*x-1) lgdogf] A382675 9.99744 [-(x+1)*(3*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A382677 10.2206 [-(2*x+1)*(5*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A382677 6.48786 [{-6*a(n)+11*a(n+1)-6*a(n+2)+a(n+3) a(0) = 1 a(1) = 13 a(2) = 77} ogf] A382677 7.10576 [-(60*x^4+84*x^3-119*x^2-2*x+13)/(60*x^5-68*x^4-11*x^3+21*x^2-x-1) lgdogf] A382682 8.34211 [-x^6*(x^8-x^7-x^6-x^4+2*x^3+x^2+2*x+1)/(x^2+x+1)/(x-1)^3 ogf] A382683 12.0495 [-(x+1)*(x-1)/(x^3-3*x^2-x+1) ogf] A382683 6.99301 [{a(n)-3*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 3} ogf] A382683 8.90020 [-(x^4-2*x^2+4*x+1)/(x^5-3*x^4-2*x^3+4*x^2+x-1) lgdogf] A382713 11.3294 [-(4*x^2+4*x+4)/(x^4+4*x^3-4*x-1) lgdogf] A382713 12.7207 [-(x^2+4*x+1)/(x+1)/(x-1) ogf] A382713 7.88134 [{-n*a(n)+n*a(n+2) a(0) = 1 a(1) = 4 a(2) = 2} ogf] A382746 7.57809 [(x+1)*(x^2+1)*(x^4+1)/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^2 ogf] A382750 8.42347 [(x^2+x+1)*(x^6+x^3+1)/(x+1)/(x^2+1)/(x^4+1)/(x-1)^2 ogf] A382777 7.36635 [{(-27*n^3-81*n^2-78*n-24)*a(n)+(8*n+12)*a(n+1) a(0) = 1} ogf] A382809 14.5793 [(935*x^3+5115*x^2+1725*x+1)/(x-1)^4 ogf] A382809 7.99063 [-(935*x^3+13035*x^2+15405*x+1729)/(935*x^4+4180*x^3-3390*x^2-1724*x-1) lgdogf] A382819 12.8491 [-(x^7-2*x^4+x-1)/(x^2+x+1)^2/(x-1)^4 ogf] A382843 11.4466 [-4*x^3/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A382843 8.14245 [-(5*x^4-4*x^3-15*x^2+2*x+3)/(x^5-x^4-5*x^3+x^2+3*x-1) lgdogf] A382845 9.41316 [-(x^3-2*x^2+4*x-1)/(x+1)/(x-1)/(x^2-3*x+1) ogf] A382874 7.52189 [-(-2*(4*x-1)^(11/2)+768*I*x^2+64*I*x-I)/(4*x-1)^(11/2) ogf] A382934 9.07298 [-1/(2*x-1)*hypergeom([1/3 2/3],[1],-27*x/(2*x-1)^3) ogf] A382960 29.8380 [-2/(x-1) lgdogf] A382973 11.7839 [(x^4+16*x^3+14*x^2+16*x+1)/(x+1)/(x-1)^4 ogf] A382973 7.44247 [-(x^5+35*x^4+94*x^3+154*x^2+81*x+19)/(x^6+16*x^5+13*x^4-13*x^2-16*x-1) lgdogf] A383039 9.98619 [-(x^3+14*x^2-20*x+7)/(x+1)/(x-1)/(x^2-3*x+1) ogf] A383070 7.26957 [-(3*x^4+18*x^3-9*x^2-28*x-9)/(3*x^5+14*x^4-11*x^3-22*x^2-4*x+1) ogf] A383071 10.0567 [-(2*x^3-22*x-9)/(x^4-2*x^3-15*x^2-3*x+1) ogf] A383072 9.61461 [-(10*x^3+14*x^2-9*x-9)/(6*x^4+6*x^3-8*x^2-3*x+1) ogf] A383077 8.44302 [-(x^4+x^3-7*x^2-2*x+9)/(x^5-x^4-4*x^3+3*x^2+3*x-1) ogf] A383078 10.3860 [(2*x^4+x^3-9*x^2-2*x+9)/(x+1)/(x^3-3*x+1) ogf] A383079 12.3095 [(4*x^3-5*x^2-9*x+9)/(x^3-x^2-2*x+1) ogf] A383079 7.40852 [-(-x^4-2*x^3+14*x^2-8*x-9)/(4*x^6-9*x^5-12*x^4+32*x^3+4*x^2-27*x+9) lgdogf] A383116 2.52053 [15*x*(2*x^2-x+2)/(x^2+1)/(x-1)^2 ogf] A383136 16.5479 [-(6*x-8)/(3*x^2-4*x+1) lgdogf] A383136 21.4674 [x*(x-1)/(3*x-1)^3 ogf] A383136 7.35459 [{(-3*n^2-12*n-9)*a(n)+(n^2+2*n)*a(n+1) a(0) = 0 a(1) = 1} ogf] A383137 11.0710 [-(18*x^2+6*x-12)/(9*x^3-3*x^2-3*x+1) lgdogf] A383137 16.2374 [-x*(3*x^2-1)/(3*x-1)^4 ogf] A383138 11.6357 [-x*(x-1)*(15*x^2-6*x-1)/(3*x-1)^5 ogf] A383138 8.19792 [-(90*x^3-144*x^2+18*x+20)/(45*x^4-78*x^3+36*x^2-2*x-1) lgdogf] A383139 11.8810 [x*(21*x^4+42*x^3-66*x^2+18*x+1)/(3*x-1)^6 ogf] A383139 6.83421 [-(126*x^4+462*x^3-666*x^2+138*x+36)/(63*x^5+105*x^4-240*x^3+120*x^2-15*x-1) lgdogf] A383150 10.0449 [-(88*x^2-16*x-2)/(44*x^3-42*x^2+12*x-1) lgdogf] A383150 13.5901 [-x*(22*x^2-10*x+1)/(2*x-1)^4 ogf] A383151 11.7949 [-x*(4*x-1)*(40*x^2-16*x+1)/(2*x-1)^5 ogf] A383151 7.99012 [-(640*x^3-144*x^2-48*x+10)/(320*x^4-368*x^3+144*x^2-22*x+1) lgdogf] A383152 6.06545 [-(5824*x^4-1568*x^3-864*x^2+328*x-26)/(2912*x^5-3920*x^4+1940*x^3-430*x^2+40*x-1) lgdogf] A383152 9.75389 [-x*(1456*x^4-1232*x^3+354*x^2-38*x+1)/(2*x-1)^6 ogf] A383155 9.00606 [-x*(4*x-1)*(3976*x^4-3152*x^3+804*x^2-68*x+1)/(2*x-1)^7 ogf] A383196 9.06500 [-1/2*((-3*x+1)^(2/3)-(-3*x+1)^(1/3)+x)/(3*x-1) egf] A383197 12.2582 [-(2*x^3-22*x+9)/(x^4-11*x^2+7*x-1) ogf] A383198 9.19585 [-(10*x^3-14*x^2-9*x+9)/(6*x^4-10*x^3-4*x^2+7*x-1) ogf] A383199 7.69314 [-(x^4-x^3-7*x^2+2*x+9)/(x^5-x^4-6*x^3+3*x^2+7*x-1) ogf] A383200 7.72115 [-(2*x^4-x^3-9*x^2+2*x+9)/(x+1)/(2*x^4-3*x^3-6*x^2+9*x-1) ogf] A383201 9.06500 [-(4*x^3+5*x^2-9*x-9)/(4*x^4+5*x^3-9*x^2-8*x+1) ogf] A383202 11.4427 [-(6*x^2-5*x-9)/(6*x^3-5*x^2-9*x+1) ogf] A383202 6.06961 [{6*a(n)-5*a(n+1)-9*a(n+2)+a(n+3) a(0) = 9 a(1) = 86 a(2) = 813} ogf] A383202 6.58495 [-(36*x^4-60*x^3-83*x^2+78*x+86)/(36*x^5-60*x^4-83*x^3+96*x^2+76*x-9) lgdogf] A383218 12.8522 [1/7*(5*x^7-7*x^6+7*x-7)/(x-1)^3 egf] A383218 7.11239 [-(-20*x^7+56*x^6-42*x^5+14*x-14)/(5*x^8-12*x^7+7*x^6+7*x^2-14*x+7) lgdegf] A383225 12.5655 [-(x^2-6*x-1)/(x+1)/(x^2-6*x+1) ogf] A383225 7.16455 [{a(n)-5*a(n+1)-5*a(n+2)+a(n+3) a(0) = 1 a(1) = 11 a(2) = 59} ogf] A383225 8.00744 [-(x^4-12*x^3+32*x^2+8*x+11)/(x^5-11*x^4+24*x^3+36*x^2-x-1) lgdogf] A383227 8.08797 [-5*(1024*x^8-176*x^4+5)/(7168*x^9-5120*x^8-1600*x^5+880*x^4+50*x-25) egf] A383229 7.67112 [x*(333*x^26+19*x^19-16*x^18+16*x^17-19*x^16+19*x^9-x^6+x^5+2*x^3+1)/(x-1)^2 ogf] A383251 9.01655 [I*((4*x-1)^(1/2)*x-(4*x-1)^(1/2)+I)/x/(x-1) ogf] A383254 12.5419 [-1/((5*x-1)*(x-1))^(1/2)/(5*x-1) ogf] A383254 14.5896 [-(10*x-8)/(5*x^2-6*x+1) lgdogf] A383313 21.6922 [-x/(-1+2*x) lgdegf] A383313 6.14293 [{(-n-1)*a(n)+(-2*n-2)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A383314 20.7031 [-2*x/(-1+4*x) lgdegf] A383314 5.86282 [{(-2*n-2)*a(n)+(-4*n-4)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A383315 23.0034 [-3*x/(6*x-1) lgdegf] A383315 6.51424 [{(-3*n-3)*a(n)+(-6*n-6)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A383316 16.7097 [-(-2*x+1)/(-1+4*x) lgdegf] A383316 5.86304 [{(2*n+2)*a(n)+(-4*n-5)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A383317 13.4908 [(-1)^(1/12)*exp(1/2*x)/(6*x-1)^(1/12) egf] A383317 18.5500 [-(1-3*x)/(6*x-1) lgdegf] A383317 6.50875 [{(3*n+3)*a(n)+(-6*n-7)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A383324 15.1449 [x*(x-1)/(3*x-1)/(x^2+1) ogf] A383324 7.23137 [{-3*a(n)+a(n+1)-3*a(n+2)+a(n+3) a(0) = 0 a(1) = 1 a(2) = 2} ogf] A383324 9.90967 [-(6*x^3-10*x^2+2*x-2)/(3*x^4-4*x^3+4*x^2-4*x+1) lgdogf] A383343 10.9561 [-(36*x^3+16*x^2+4*x-8)/(12*x^4-13*x^3+3*x^2-3*x+1) lgdogf] A383343 15.0870 [-x^2*(4*x^2+x+1)/(3*x-1)/(x-1)^4 ogf] A383344 19.4652 [exp(-4*x)/(x-1)^4 egf] A383344 22.5066 [-4*x/(x-1) lgdegf] A383344 6.37356 [{(-4*n-4)*a(n)+(-n-1)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A383355 10.5906 [-(10*x^4-8*x^3+x-1)/(4*x^5-4*x^4+x^2-2*x+1) lgdogf] A383355 17.5068 [1/((x-1)*(4*x^4+x-1))^(1/2) ogf] A383368 4.74784 [(x^5+3*x^4+20*x^3+12*x^2+11*x+1)/(x+1)^3/(x-1)^4 ogf] A383378 18.5462 [-(3*x+1)/(x-1) lgdegf] A383378 20.0500 [exp(-3*x)/(x-1)^4 egf] A383378 6.50745 [{(-3*n-3)*a(n)+(-n-2)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A383379 9.18961 [-(x+1)*ln(x+1)*(ln(x+1)-1) revegf] A383380 19.3190 [-(2*x+2)/(x-1) lgdegf] A383380 20.8854 [exp(-2*x)/(x-1)^4 egf] A383380 6.77860 [{(-2*n-2)*a(n)+(-n-3)*a(n+1)+a(n+2) a(0) = 1 a(1) = 2} ogf] A383381 19.6017 [-exp(-2*x)/(x-1)^5 egf] A383381 20.0918 [-(2*x+3)/(x-1) lgdegf] A383381 7.04974 [{(-2*n-2)*a(n)+(-n-4)*a(n+1)+a(n+2) a(0) = 1 a(1) = 3} ogf] A383382 19.0739 [-exp(-3*x)/(x-1)^5 egf] A383382 19.5508 [-(3*x+2)/(x-1) lgdegf] A383382 6.85994 [{(-3*n-3)*a(n)+(-n-3)*a(n+1)+a(n+2) a(0) = 1 a(1) = 2} ogf] A383383 18.8478 [-exp(-4*x)/(x-1)^5 egf] A383383 19.3190 [-(4*x+1)/(x-1) lgdegf] A383383 6.77860 [{(-4*n-4)*a(n)+(-n-2)*a(n+1)+a(n+2) a(0) = 1 a(1) = 1} ogf] A383384 18.0185 [-exp(-5*x)/(x-1)^5 egf] A383384 23.0862 [-5*x/(x-1) lgdegf] A383384 6.53769 [{(-5*n-5)*a(n)+(-n-1)*a(n+1)+a(n+2) a(0) = 1 a(1) = 0} ogf] A383415 11.6921 [-(8*x^2+83*x-43)/(4*x^3+23*x^2-34*x+7) lgdogf] A383415 16.2257 [-(x+7)/(4*x-1)/(x-1)^2 ogf] A383436 8.62774 [1/2*(-x^3+4*exp(x)*x+3*x^2-12*exp(x)+6*x+10)/(x-1)^3 egf] A383437 8.50999 [(-2*x^3+5*exp(x)*x+6*x^2-15*exp(x)+6*x+14)/(x-1)^3 egf] A383449 9.73302 [25*x^6+25*x^5+13*x^4+5*x^3+2*x^2+x+1 ogf] A383450 14.8650 [2*hypergeom([5/3 7/3],[5/2],27/4*x) ogf] A383450 8.61341 [{(-27*n^2-108*n-105)*a(n)+(4*n^2+14*n+10)*a(n+1) a(0) = 2} ogf] A383451 16.1978 [5*hypergeom([7/3 8/3],[5/2],27/4*x) ogf] A383451 9.38565 [{(-27*n^2-135*n-168)*a(n)+(4*n^2+14*n+10)*a(n+1) a(0) = 5} ogf] A383464 13.0259 [-(14*x^2+30*x+4)/(14*x^3-13*x^2-1) lgdogf] A383464 18.1230 [-(14*x^2+x+1)/(x-1)^3 ogf] A383464 8.25405 [{(-8*n^2-11*n-4)*a(n)+(8*n^2-5*n+1)*a(n+1) a(0) = 1} ogf] A383465 10.7132 [{(-25*n^2-39*n-16)*a(n)+(25*n^2-11*n+2)*a(n+1) a(0) = 1} ogf] A383465 16.5425 [-(19*x^2+48*x+8)/(19*x^3-14*x^2-4*x-1) lgdogf] A383465 24.4542 [-(19*x^2+5*x+1)/(x-1)^3 ogf] A383466 14.5913 [-(17*x^2+36*x+7)/(x^4+13*x^3-10*x^2-3*x-1) lgdogf] A383466 20.5358 [-(x^3+14*x^2+4*x+1)/(x-1)^3 ogf] A383499 11.1354 [-1/((x-1)*(4*x^2+x-1))^(1/2)/(4*x^2+x-1) ogf] A383499 12.3165 [-(14*x^2-10*x-2)/(4*x^3-3*x^2-2*x+1) lgdogf] A383503 10.0630 [-(20*x^3-18*x^2+2*x-2)/(4*x^4-4*x^3+x^2-2*x+1) lgdogf] A383503 8.50689 [-1/((2*x-1)*(x-1)*(2*x^2+x+1))^(1/2)/(2*x-1)/(2*x^2+x+1) ogf] A383527 8.44813 [1/2/(3*x-1)*(-3*x+1+(-(x+1)*(3*x-1))^(1/2))/(x-1) ogf] A383549 11.3645 [x^3*(x^3+x+1)*(x^2+1)^2/(x^5+x^3-1)^2 ogf] A383568 10.6524 [-(5*x^9-5*x^4-4*x)/(x^10-2*x^5-4*x^2+1) lgdogf] A383568 9.14851 [1/((x+1)*(x^5+2*x-1)*(x^4-x^3+x^2-x-1))^(1/2) ogf] A383569 10.6376 [-(7*x^13-7*x^6-4*x)/(x^14-2*x^7-4*x^2+1) lgdogf] A383569 7.79386 [1/((x+1)*(x^6-x^5+x^4-x^3+x^2-x-1)*(x^7+2*x-1))^(1/2) ogf] A383571 11.4200 [-(3*x^5-8*x^3-3*x^2)/(x^6-4*x^4-2*x^3+1) lgdogf] A383571 11.8893 [1/((x+1)*(x^2+x-1)*(x^3-2*x^2-1))^(1/2) ogf] A383572 10.5635 [-(4*x^7-10*x^4-4*x^3)/(x^8-4*x^5-2*x^4+1) lgdogf] A383572 18.0753 [1/(x^8-4*x^5-2*x^4+1)^(1/2) ogf] A383573 10.0523 [-(2*x^3+6*x^2-2*x-2)/(x^4+4*x^3-2*x^2-4*x+1) lgdogf] A383573 13.1833 [1/((x+1)*(x-1)*(x^2+4*x-1))^(1/2) ogf] A383581 11.3682 [1/((x-1)*(x^2+x+1)*(x^3+4*x-1))^(1/2) ogf] A383581 9.33821 [-(3*x^5+8*x^3-3*x^2-2)/(x^6+4*x^4-2*x^3-4*x+1) lgdogf] A383582 10.0587 [1/((x+1)*(x-1)*(x^2+1)*(x^4+4*x-1))^(1/2) ogf] A383582 9.11202 [-(4*x^7+10*x^4-4*x^3-2)/(x^8+4*x^5-2*x^4-4*x+1) lgdogf] A383585 13.5219 [-(26*x^2-34*x+32)/(13*x^3-33*x^2+33*x-13) lgdogf] A383585 20.0012 [x^2*(13*x^2-20*x+13)/(x-1)^4 ogf] A383597 14.7279 [-(10*x-4)/(10*x^2-11*x+1) lgdogf] A383597 16.3287 [-1/(10*x-1)^(1/3)/(x-1)^(2/3) ogf] A383598 10.6170 [-1/(x^2+9*x-1)^(1/3)/(x-1)^(2/3)/(x+1)^(2/3) ogf] A383598 9.04415 [-(2*x^3+15*x^2-2*x-3)/(x^4+9*x^3-2*x^2-9*x+1) lgdogf] A383599 8.50945 [-(3*x^5+21*x^3-3*x^2-3)/(x^6+9*x^4-2*x^3-9*x+1) lgdogf] A383599 9.39355 [-1/(x^2+x+1)^(2/3)/(x^3+9*x-1)^(1/3)/(x-1)^(2/3) ogf] A383600 14.5090 [-(9*x-3)/(9*x^2-10*x+1) lgdogf] A383600 15.7986 [-1/(x-1)^(3/4)/(9*x-1)^(1/4) ogf] A383601 14.0287 [-(10*x-7)/(10*x^2-11*x+1) lgdogf] A383601 15.5535 [-1/(10*x-1)^(2/3)/(x-1)^(1/3) ogf] A383602 14.1663 [-(9*x-7)/(9*x^2-10*x+1) lgdogf] A383602 15.4255 [-1/(x-1)^(1/4)/(9*x-1)^(3/4) ogf] A383603 11.3807 [-(12*x^2-5*x-1)/(9*x^3-8*x^2-2*x+1) lgdogf] A383603 13.9575 [-1/(x-1)^(2/3)/(9*x^2+x-1)^(1/3) ogf] A383604 14.8436 [-1/(9*x^3+x-1)^(1/3)/(x-1)^(2/3) ogf] A383604 9.71253 [-(15*x^3-9*x^2+x-1)/(9*x^4-9*x^3+x^2-2*x+1) lgdogf] A383605 11.9656 [-(15*x^2-11*x-1)/(9*x^3-8*x^2-2*x+1) lgdogf] A383605 14.9006 [-1/(x-1)^(1/3)/(9*x^2+x-1)^(2/3) ogf] A383606 14.8438 [-1/(9*x^3+x-1)^(2/3)/(x-1)^(1/3) ogf] A383606 9.59418 [-(21*x^3-18*x^2+x-1)/(9*x^4-9*x^3+x^2-2*x+1) lgdogf] A383608 11.0354 [(8*x^5+8*x^4-2*x^3-6*x^2+x+1)/(2*x-1)^2/(2*x+1)^2 ogf] A383610 10.0160 [-1/(x^2+9*x-1)^(2/3)/(x-1)^(1/3)/(x+1)^(1/3) ogf] A383610 8.53217 [-(2*x^3+12*x^2-2*x-6)/(x^4+9*x^3-2*x^2-9*x+1) lgdogf] A383611 8.09485 [-(3*x^5+15*x^3-3*x^2-6)/(x^6+9*x^4-2*x^3-9*x+1) lgdogf] A383611 8.93587 [-1/(x^2+x+1)^(1/3)/(x^3+9*x-1)^(2/3)/(x-1)^(1/3) ogf] A383623 14.0987 [-(32*x-10)/(8*x^2-6*x+1) lgdogf] A383623 17.1935 [2*x^2/(4*x-1)/(2*x-1)^3 ogf] A383624 11.9299 [1/((5*x+1)*(3*x-1)*(7*x-1)*(x+1))^(1/4) ogf] A383624 8.81186 [-(105*x^3+57*x^2-17*x-1)/(105*x^4+76*x^3-34*x^2-4*x+1) lgdogf] A383627 10.5425 [-(28*x^2-26*x+4)/(28*x^3-39*x^2+12*x-1) lgdogf] A383627 11.9251 [(-1)^(1/3)/((x-1)*(7*x-1)*(4*x-1))^(1/3) ogf] A383628 11.3477 [1/((x-1)*(9*x-1)*(13*x-1)*(5*x-1))^(1/4) ogf] A383628 8.05325 [-(585*x^3-609*x^2+127*x-7)/(585*x^4-812*x^3+254*x^2-28*x+1) lgdogf] A383629 8.03028 [(-1)^(1/5)/((x-1)*(6*x-1)*(21*x-1)*(11*x-1)*(16*x-1))^(1/5) ogf] A383634 13.3258 [1/(x-1)/(9*x-1)/(13*x-1)/(5*x-1) ogf] A383634 8.05102 [-(2340*x^3-2436*x^2+508*x-28)/(585*x^4-812*x^3+254*x^2-28*x+1) lgdogf] A383635 8.31324 [-1/(x-1)/(6*x-1)/(21*x-1)/(11*x-1)/(16*x-1) ogf] A383637 11.6921 [-(45*x^2-26*x-3)/(15*x^3-13*x^2-3*x+1) lgdogf] A383637 17.6680 [1/(x-1)/(3*x+1)/(5*x-1) ogf] A383637 6.91358 [{15*a(n)-13*a(n+1)-3*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 22} ogf] A383648 6.33152 [-(4725*x^4-3156*x^3-690*x^2+140*x+5)/(945*x^5-789*x^4-230*x^3+70*x^2+5*x-1) lgdogf] A383648 9.80085 [-1/(x-1)/(7*x+1)/(9*x-1)/(3*x+1)/(5*x-1) ogf] A383651 10.6976 [-(72*x^2-44*x-3)/(24*x^3-22*x^2-3*x+1) lgdogf] A383651 16.1652 [1/(x-1)/(6*x-1)/(4*x+1) ogf] A383651 6.32551 [{24*a(n)-22*a(n+1)-3*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 31} ogf] A383700 7.64230 [(-1/64-1/64*I)*2^(1/2)*(I*ln(4*x-1)+Pi)^2/(4*x-1)^(1/4) egf] A383702 7.87389 [(1/64-1/64*I)*2^(1/2)*(I*ln(4*x-1)+Pi)^2/(4*x-1)^(3/4) egf] A383719 9.42680 [-1/(x^2+2*x-1)/(x^2+82*x-1)/(x^2-14*x-1) ogf] A383720 11.0217 [-(5*x^2+10*x-3)/(x+1)/(x^2-6*x+1) ogf] A383720 6.43747 [{a(n)-5*a(n+1)-5*a(n+2)+a(n+3) a(0) = 3 a(1) = 5 a(2) = 35} ogf] A383720 7.06247 [-(5*x^4+20*x^3-34*x^2+20*x+5)/(5*x^5-15*x^4-78*x^3-30*x^2+25*x-3) lgdogf] A383734 10.3179 [-2*(x^2+14*x+1)/(x-1)/(x^2-34*x+1) ogf] A383734 5.85850 [{-a(n)+35*a(n+1)-35*a(n+2)+a(n+3) a(0) = 2 a(1) = 98 a(2) = 3362} ogf] A383734 6.46078 [-(x^4+28*x^3-522*x^2-68*x+49)/(x^5-21*x^4-454*x^3+454*x^2+21*x-1) lgdogf] A383740 9.09547 [4*(3*x^3-15*x^2-9*x+1)/(x^2+14*x-1)/(x^2-2*x-1) ogf] A383741 6.16028 [-(29*x^4+348*x^3-522*x^2-116*x+5)/(x-1)/(x^2-34*x+1)/(x^2+6*x+1) ogf] A383754 11.0967 [1/(12*x-1)/(8*x-1)/(18*x-1)/(27*x-1) ogf] A383754 6.34099 [-(186624*x^3-42120*x^2+2964*x-65)/(46656*x^4-14040*x^3+1482*x^2-65*x+1) lgdogf] A383756 12.9783 [-1/(16*x-1)/(12*x-1)/(9*x-1) ogf] A383756 8.70914 [-(5184*x^2-888*x+37)/(1728*x^3-444*x^2+37*x-1) lgdogf] A383757 11.8630 [1/(36*x-1)/(48*x-1)/(27*x-1)/(64*x-1) ogf] A383757 6.29257 [-(11943936*x^3-907200*x^2+22200*x-175)/(2985984*x^4-302400*x^3+11100*x^2-175*x+1) lgdogf] A383771 7.59554 [-1/2*(-x^2+(x^4-2*x^3+7*x^2-6*x+1)^(1/2)-x+1)/(x-1)*x revogf] A383776 8.15513 [exp(2*x)*(7*x*BesselI(0,2*x)+4*BesselI(1,2*x)*x-BesselI(1,2*x))/x egf] A383778 11.8042 [-(28*x^2-10*x+4)/(14*x^3-15*x^2+6*x-1) lgdogf] A383778 17.8373 [x*(7*x^2-4*x+1)/(2*x-1)^4 ogf] A383778 6.80239 [{(-2*n^3-14*n-16)*a(n)+(n^3-3*n^2+10*n)*a(n+1) a(0) = 0 a(1) = 1} ogf] A383783 10.8403 [-(20*x^2+1)/(8*x-1)/(2*x-1)/(4*x-1) ogf] A383783 6.06324 [{-64*a(n)+56*a(n+1)-14*a(n+2)+a(n+3) a(0) = 1 a(1) = 14 a(2) = 160} ogf] A383783 6.87944 [-(1280*x^4-88*x^2-72*x+14)/(1280*x^5-1120*x^4+344*x^3-76*x^2+14*x-1) lgdogf] A383797 13.3948 [x*(15*x^4-12*x^3+10*x^2-4*x+1)/(x-1)^6 ogf] A383797 8.74768 [-(30*x^4+24*x^3+4*x^2+2)/(15*x^5-27*x^4+22*x^3-14*x^2+5*x-1) lgdogf] A383832 10.2008 [2*(-48*x+11+4*(1-4*x)^(1/2))/(16*x-3)/(-1+4*x) lgdogf] A383832 8.31587 [-(-16*x+4+(-(4*x-1)*(-5+16*x)^2)^(1/2))/(4*x-1)/(-3+16*x)^2 ogf] A383833 11.4466 [-6*x*(x^2+3*x+1)*(x^2+4*x+1)/(x-1)^7 ogf] A383833 7.89818 [-(3*x^4+32*x^3+91*x^2+70*x+14)/(x^5+6*x^4+7*x^3-7*x^2-6*x-1) lgdogf] A383834 15.0369 [-(x^4+2*x^3+6*x^2+2*x+1)/(x-1)^5 ogf] A383834 9.35971 [-(x^4+8*x^3+24*x^2+20*x+7)/(x^5+x^4+4*x^3-4*x^2-x-1) lgdogf] A383838 12.4884 [1/(x-1)/(4*x-1)/(9*x-1)/(16*x-1) ogf] A383838 7.54512 [-(2304*x^3-2460*x^2+546*x-30)/(576*x^4-820*x^3+273*x^2-30*x+1) lgdogf] A383840 8.68852 [-1/(x-1)/(4*x-1)/(25*x-1)/(9*x-1)/(16*x-1) ogf] A383841 12.0262 [-(36*x^2-44*x+12)/(6*x^3-11*x^2+6*x-1) lgdogf] A383841 18.1729 [1/(x-1)^2/(3*x-1)^2/(2*x-1)^2 ogf] A383842 13.4221 [1/(x-1)^2/(3*x-1)^2/(2*x-1)^2/(4*x-1)^2 ogf] A383842 8.40725 [-(192*x^3-300*x^2+140*x-20)/(24*x^4-50*x^3+35*x^2-10*x+1) lgdogf] A383854 16.1835 [(x^3+6*x^2+9*x+8)/(x-1)^4 ogf] A383854 9.55416 [-(x^3+15*x^2+39*x+41)/(x^4+5*x^3+3*x^2-x-8) lgdogf] A383868 12.4169 [-(30*x^4-40*x^3+26*x^2-8*x+1)/(2*x-1)^5 ogf] A383868 7.49701 [-(60*x^4-40*x^3+36*x^2-12*x+2)/(60*x^5-110*x^4+92*x^3-42*x^2+10*x-1) lgdogf] A383873 13.2919 [(x^2+x-1)/(5*x^3-2*x^2+3*x-1) ogf] A383873 6.76465 [{-5*a(n)+2*a(n+1)-3*a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 3} ogf] A383873 7.73104 [-(5*x^4+10*x^3-20*x^2+6*x-2)/(5*x^5+3*x^4-4*x^3+4*x^2-4*x+1) lgdogf] A383884 10.1078 [-4*(12*x+1+(1-12*x)^(1/2))/(4*x+1)/(-1+12*x) lgdogf] A383884 10.5289 [-(12*x-1+2*(-12*x+1)^(1/2))/(4*x+1)/(12*x-1) ogf] A383888 8.04151 [-(-12*x+1+(-(12*x-1)*(1+3*x)^2)^(1/2))/(x+2)/(12*x-1) ogf] A383892 10.4163 [-1/(5*x-1)/(x-1)^2/(3*x-1)^2/(2*x-1)^2/(4*x-1)^2 ogf] A383892 6.55514 [-(1080*x^4-1942*x^3+1175*x^2-290*x+25)/(120*x^5-274*x^4+225*x^3-85*x^2+15*x-1) lgdogf] A383893 9.09774 [-1/(3*x-1)^2/(2*x-1)^2/(x-1)^2/(5*x-1)^2/(4*x-1)^2/(6*x-1) ogf] A383897 17.0908 [-ln(x+1)/(2*x-1) egf] A383910 10.1796 [-(132*x^4-96*x^2+12)/(36*x^6-49*x^4+14*x^2-1) lgdogf] A383910 9.46099 [-(2*x+1)*(1+3*x)*(x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A383911 8.06251 [(4*x+1)*(2*x+1)*(1+3*x)*(x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A383911 8.14005 [-(2400*x^6-2060*x^4+400*x^2-20)/(576*x^8-820*x^6+273*x^4-30*x^2+1) lgdogf] A383912 10.6550 [-(x+1)*(2*x+1)/(x-1)/(3*x-1)/(2*x-1) ogf] A383912 6.82296 [{-6*a(n)+11*a(n+1)-6*a(n+2)+a(n+3) a(0) = 1 a(1) = 9 a(2) = 45} ogf] A383912 7.62567 [-(12*x^4+36*x^3-27*x^2-18*x+9)/(12*x^5-4*x^4-15*x^3+5*x^2+3*x-1) lgdogf] A383913 8.13308 [(2*x+1)*(1+3*x)*(x+1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A383928 8.98335 [I*(48*x+1)*(12288*x^3+6912*x^2+528*x+1)/(16*x-1)^(9/2) ogf] A383935 14.8097 [-(12*x-3)/(18*x^2-9*x+1) lgdogf] A383935 18.0606 [1/((6*x-1)*(3*x-1))^(1/3) ogf] A383936 14.6579 [(-1)^(1/3)/(6*x-1)^(1/3)/(1+3*x)^(2/3) ogf] A383936 17.1009 [-18*x/(18*x^2+3*x-1) lgdogf] A383937 11.0465 [((6*x-1)*(3*x-1))^(4/3)/(6*x-1)^2/(3*x-1)^2 ogf] A383937 14.3605 [-(24*x-6)/(18*x^2-9*x+1) lgdogf] A383942 5.44606 [-(40000*x^3+16800*x^2-28860*x+1463)/(20000*x^4-9200*x^3-12210*x^2+1423*x-13) lgdogf] A383942 9.07675 [-6*(20*x+13)/(x-1)/(100*x-1)/(10*x-1) ogf] A383944 12.2628 [-1/(-(x+1)*(7*x-1))^(1/2)/(7*x-1) ogf] A383944 14.9606 [-(14*x+10)/(7*x^2+6*x-1) lgdogf] A383945 12.8190 [1/(-(x+1)*(7*x-1))^(1/2)/(7*x-1)^2 ogf] A383945 14.6137 [-(21*x+17)/(7*x^2+6*x-1) lgdogf] A383946 14.6960 [-1/((9*x-1)*(x-1))^(1/2)/(9*x-1) ogf] A383946 16.4249 [-(18*x-14)/(9*x^2-10*x+1) lgdogf] A383947 12.8170 [1/(-(x+1)*(7*x-1))^(1/2)/(x+1) ogf] A383947 14.9096 [-(14*x+2)/(7*x^2+6*x-1) lgdogf] A383948 13.4771 [-1/((7*x-1)*(3*x-1))^(1/2)/(3*x-1) ogf] A383948 15.0626 [-(42*x-8)/(21*x^2-10*x+1) lgdogf] A383949 14.5756 [-1/((5*x-1)*(x-1))^(1/2)/(x-1) ogf] A383949 16.9554 [-(10*x-4)/(5*x^2-6*x+1) lgdogf] A383950 13.6043 [-1/((6*x-1)*(2*x-1))^(1/2)/(2*x-1) ogf] A383950 15.5089 [-(24*x-6)/(12*x^2-8*x+1) lgdogf] A383951 13.4378 [-1/((13*x-1)*(x-1))^(1/2)/(x-1) ogf] A383951 15.2823 [-(26*x-8)/(13*x^2-14*x+1) lgdogf] A383953 10.3640 [{-2*a(n)-a(n+1)+a(n+2) a(0) = 4 a(1) = 7} ogf] A383953 12.8766 [-(6*x^2+16*x+7)/(6*x^3+11*x^2+x-4) lgdogf] A383953 17.3439 [-(3*x+4)/(x+1)/(2*x-1) ogf] A383996 11.6737 [-1/12*3^(2/3)/(x+1/3)^(1/3)+3/4*x+1/4 revegf] A383997 12.3537 [4/5*x+1/5-1/5/(4*x+1)^(1/4) revegf] A384150 7.71092 [(32769*x^15-32769*x^13-20940*x^3+907*x^2+22753*x+1)/(x^2+x+1)/(x-1)^2 ogf] A384153 12.6351 [x*(x-1)^2/(2*x-1)/(x^3-x^2+2*x-1) ogf] A384153 8.46687 [-(4*x^4-11*x^3+9*x^2-6*x+2)/(2*x^5-5*x^4+8*x^3-9*x^2+5*x-1) lgdogf] A384154 8.64415 [x^2*(x-1)^2/(x^2-x+1)/(x^2+x-1)/(x^3-x^2+2*x-1) ogf] A384155 7.50985 [x^3*(x-1)^2/(x^2-x+1)/(x^2+x-1)/(x^5-x^2+2*x-1) ogf] A384164 14.9521 [-1+4*x-(2+2*I)*(x-1/4)^(3/4) revegf] A384166 10.0343 [7/4*x-1/4-1/4*(-1)^(4/7)*7^(3/7)*(x-1/7)^(3/7) revegf] A384198 13.9788 [-(2*x-1)*(10*x^2-6*x+1)/(3*x-1)^4 ogf] A384198 9.31928 [-(60*x^3-72*x^2+28*x-4)/(60*x^4-86*x^3+46*x^2-11*x+1) lgdogf] A384199 14.9229 [-ln(x+1)/(3*x-1) egf] A384200 10.3765 [-1/3*I*(Pi+I*ln(3*x-1))/(x-1) egf] A384201 6.06210 [{(-2*n^2-4*n-2)*a(n)-n*a(n+1)+a(n+2) a(0) = 0 a(1) = 1} ogf] A384201 9.92779 [1/2*I*(Pi+I*ln(2*x-1))/(x+1) egf] A384202 10.1594 [1/3*I*(Pi+I*ln(3*x-1))/(x+1) egf] A384219 12.2950 [2*(x-1)/(x^2+1)/(x^2+4*x-1) ogf] A384219 8.06451 [-(3*x^4+4*x^3-12*x^2-3)/(x^5+3*x^4-4*x^3+4*x^2-5*x+1) lgdogf] A384241 9.96926 [-(-x^4-4*x^3-6*x^2-4*x)/(4*x^3+12*x^2+12*x+4) revegf] A384242 7.03064 [-(-x^5-5*x^4-10*x^3-10*x^2-5*x)/(5*x^4+20*x^3+30*x^2+20*x+5) revegf] A384243 12.2543 [-(60*x^2-12*x+6)/(20*x^3-18*x^2+6*x-1) lgdogf] A384243 16.6658 [-x^2*(10*x^2-4*x+1)/(2*x-1)^5 ogf] A384256 22.1294 [x*(1-3*x)^(1/3) revegf] A384257 11.1099 [-4/3*x^2+4/3*x-1/3+1/3*(-2*x+1)^(1/2) revegf] A384257 5.97505 [{(-256*n^3-1152*n^2-1392*n-440)*a(n)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 28} ogf] A384258 23.0326 [x*(1-4*x)^(1/4) revegf] A384259 15.4755 [-(-2*x+1)^(1/2)*(x-1)*x revegf] A384261 6.74420 [{(-27*n^3+3*n)*a(n)+(4*n^2-2*n)*a(n+1) a(0) = 1 a(1) = 1} ogf] A384261 8.74248 [(1-4*x)^(1/2)-((16*x^2-8*x+1)/(1-4*x)^(1/2))^(1/2) revegf] A384262 7.14564 [-4*6^(2/3)/(-2+2*I*3^(1/2))*(x-1/6)^(2/3)-I*6^(1/2)*(x-1/6)^(1/2) revegf] A384266 12.2516 [-1/2*(4*x-1+3*(-8*x+1)^(1/2))/(2*x^2+8*x-1) ogf] A384288 17.7921 [-(3*x+7)/(x^2-1) lgdogf] A384288 20.6013 [-12*(x+1)^2/(x-1)^5 ogf] A384288 6.57858 [{(-n^3-8*n^2-22*n-21)*a(n)+(n^3+4*n^2+6*n+3)*a(n+1) a(0) = 12} ogf] A384328 8.46805 [-(10*x^6+3*x^5+3*x^4+3*x^3+3*x^2+3*x+3)/(x^7-1) lgdogf] A384328 9.86006 [1/(x^6+x^5+x^4+x^3+x^2+x+1)/(x-1)^4 ogf] A384335 10.3093 [-I/(36*x-1)^(7/2)*(326592*x^3+45360*x^2+756*x+1) ogf] A384335 6.20308 [-(5878656*x^3+3429216*x^2+158760*x+882)/(11757312*x^4+1306368*x^3-18144*x^2-720*x-1) lgdogf] A384365 7.16684 [-1/2*(64*x^2+(-(4*x-1)*(-9+32*x)^2)^(1/2)-52*x+9)/(4*x-1)/(-3+16*x)^2 ogf] A384367 14.5168 [-(1+3*x)/(x^3+2*x^2+x-1) ogf] A384367 6.86958 [{-a(n)-2*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 4 a(2) = 6} ogf] A384367 9.61742 [-(6*x^3+9*x^2+4*x+4)/(3*x^4+7*x^3+5*x^2-2*x-1) lgdogf] A384374 6.76289 [2*x^5*(112*x^3-175*x^2+90*x-15)/(4*x-1)/(3*x-1)^2/(2*x-1)^3/(x-1)^3 ogf] A384415 13.3173 [-(48*x-13)/(12*x^2-7*x+1) lgdogf] A384415 18.3562 [x^3/(4*x-1)/(3*x-1)^3 ogf] A384417 8.40429 [I*(192*x+1)*(786432*x^3+110592*x^2+2112*x+1)/(64*x-1)^(9/2) ogf] A384497 11.7892 [-x^2*(x-1)*(x+1)/(x^3-2*x^2-x+1)^2 ogf] A384497 8.47353 [-(4*x^4-4*x^3-6*x^2+6*x+2)/(x^5-2*x^4-2*x^3+3*x^2+x-1) lgdogf] A384506 12.2210 [-(30*x^2-22*x+6)/(10*x^3-13*x^2+6*x-1) lgdogf] A384506 16.9596 [-x^2*(5*x^2-4*x+1)/(2*x-1)^5 ogf] A384511 10.9786 [-x^2*(x^3-3*x^2-x-1)/(x+1)^2/(x-1)^4 ogf] A384511 7.72985 [-(3*x^4-10*x^3-8*x^2-14*x-3)/(x^5-3*x^4-2*x^3+2*x^2+x+1) lgdogf] A384536 6.61657 [-(68*x^7-433*x^6+672*x^5-560*x^4+280*x^3-84*x^2+14*x-1)/(4*x-1)/(2*x-1)^7 ogf] A384542 9.48634 [-I*(1075648*x^3+115248*x^2+980*x+1)/(196*x-1)^(7/2) ogf] A384565 26.4139 [-5/(5*x-1) lgdogf] A384565 29.5835 [-1/(5*x-1) ogf] A384566 12.8401 [-6*x*(5*x^4+56*x^3+118*x^2+56*x+5)/(x-1)^7 ogf] A384566 8.20342 [-(15*x^4+244*x^3+758*x^2+572*x+91)/(5*x^5+51*x^4+62*x^3-62*x^2-51*x-5) lgdogf] A384598 11.8343 [-(3*x^2-1)/(x-1)/(2*x^3+4*x^2-1) ogf] A384598 6.74765 [-(12*x^5+6*x^4-8*x^3-3*x^2+2*x+1)/(6*x^6+6*x^5-14*x^4-5*x^3+7*x^2+x-1) lgdogf] A384599 12.8402 [-(x+1)*(2*x+1)/(2*x^3+4*x^2-1) ogf] A384599 7.75502 [-(4*x^4+12*x^3+18*x^2+12*x+3)/(4*x^5+14*x^4+14*x^3+2*x^2-3*x-1) lgdogf] A384599 8.33251 [{-2*a(n)-4*a(n+1)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 6} ogf] A384600 11.2008 [-(x^2-x-1)/(x-1)/(2*x^3+4*x^2-1) ogf] A384600 7.65208 [-(4*x^5-4*x^4-12*x^3-x^2+6*x+2)/(2*x^6-8*x^4+x^3+6*x^2-1) lgdogf] A384604 12.2100 [-(x-1)*(x+1)/(2*x^3-4*x^2-x+1) ogf] A384604 7.08619 [{2*a(n)-4*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 4} ogf] A384604 9.01880 [-(2*x^4-5*x^2+6*x+1)/(2*x^5-4*x^4-3*x^3+5*x^2+x-1) lgdogf] A384605 10.0309 [-(4*x^3+2*x^2-8*x-2)/(2*x^4-2*x^3-5*x^2+1) lgdogf] A384605 15.5580 [(x+1)/(2*x^3-4*x^2-x+1) ogf] A384605 6.80665 [{2*a(n)-4*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 6} ogf] A384610 14.0580 [-(2*x+1)*(262143*x+1)/(x-1)^3 ogf] A384610 7.99092 [-(524286*x^2+1572862*x+262148)/(524286*x^3-262141*x^2-262144*x-1) lgdogf] A384611 11.4016 [-(x+1)*(x^2-x-1)/(2*x^4-5*x^2+1) ogf] A384611 6.90101 [-(2*x^6-7*x^4-8*x^3+7*x^2+10*x+2)/(2*x^7-9*x^5-2*x^4+11*x^3+5*x^2-2*x-1) lgdogf] A384611 7.42183 [{2*a(n)-5*a(n+2)+a(n+4) a(0) = 1 a(1) = 2 a(2) = 5 a(3) = 9} ogf] A384614 11.8243 [-(2*x^2+8*x+2)/(3*x^4+4*x^3+3*x^2-1) lgdogf] A384614 15.1707 [-(x^2+x+1)/(3*x^2+x-1) ogf] A384614 6.81398 [{-3*n*a(n)-n*a(n+1)+n*a(n+2) a(0) = 1 a(1) = 2 a(2) = 6} ogf] A384633 10.4831 [-(x+1)*(2*x^2-1)/(2*x^4-4*x^3-6*x^2+1) ogf] A384634 14.9524 [(x+1)^2/(2*x^4-4*x^3-6*x^2+1) ogf] A384634 8.00485 [-(4*x^4+4*x^3-12*x^2-12*x-2)/(2*x^5-2*x^4-10*x^3-6*x^2+x+1) lgdogf] A384635 11.5524 [(x+1)*(2*x+1)/(2*x^4-4*x^3-6*x^2+1) ogf] A384635 6.36363 [-(8*x^5+10*x^4-16*x^3-30*x^2-16*x-3)/(4*x^6-2*x^5-22*x^4-22*x^3-4*x^2+3*x+1) lgdogf] A384640 12.3623 [-(3*x^2-1)/(2*x^4+x^3-5*x^2-x+1) ogf] A384640 7.58070 [-(12*x^5+3*x^4-8*x^3+4*x+1)/(6*x^6+3*x^5-17*x^4-4*x^3+8*x^2+x-1) lgdogf] A384641 9.82568 [-(x+1)*(x^2-x-1)/(2*x^4+x^3-5*x^2-x+1) ogf] A384642 10.7626 [(x^3-x^2+x+1)/(2*x^4+x^3-5*x^2-x+1) ogf] A384646 10.1019 [-(4*x^3+11*x^2+10*x+2)/(2*x^4+7*x^3+6*x^2-1) lgdogf] A384646 14.8669 [-(x+1)/(2*x^3+5*x^2+x-1) ogf] A384646 7.03524 [{-2*a(n)-5*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 7} ogf] A384647 12.2362 [-(x^2+3*x+1)/(2*x^3+5*x^2+x-1) ogf] A384647 6.60543 [{-2*a(n)-5*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 4 a(2) = 10} ogf] A384647 7.39023 [-(2*x^4+12*x^3+20*x^2+12*x+4)/(2*x^5+11*x^4+18*x^3+7*x^2-2*x-1) lgdogf] A384648 13.9575 [-(x+1)^2/(2*x^3+5*x^2+x-1) ogf] A384648 6.60490 [{-2*a(n)-5*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 9} ogf] A384648 9.73353 [-(2*x^3+6*x^2+9*x+3)/(2*x^4+7*x^3+6*x^2-1) lgdogf] A384671 11.3072 [-(x-1)*(x+1)/(2*x^3-5*x^2-2*x+1) ogf] A384671 6.56224 [{2*a(n)-5*a(n+1)-2*a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 8} ogf] A384671 8.35195 [-(2*x^4-4*x^2+8*x+2)/(2*x^5-5*x^4-4*x^3+6*x^2+2*x-1) lgdogf] A384672 12.3728 [-(x^2-2*x-1)/(2*x^3-5*x^2-2*x+1) ogf] A384672 6.67917 [{2*a(n)-5*a(n+1)-2*a(n+2)+a(n+3) a(0) = 1 a(1) = 4 a(2) = 12} ogf] A384672 8.11556 [-(2*x^4-8*x^3+6*x^2+8*x+4)/(2*x^5-9*x^4+6*x^3+10*x^2-1) lgdogf] A384673 15.2684 [(x+1)/(2*x^3-5*x^2-2*x+1) ogf] A384673 6.62084 [{2*a(n)-5*a(n+1)-2*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 11} ogf] A384673 9.23649 [-(4*x^3+x^2-10*x-3)/(2*x^4-3*x^3-7*x^2-x+1) lgdogf] A384677 12.0186 [-(x+1)*(2*x-1)/(2*x^3-4*x^2-2*x+1) ogf] A384677 6.97511 [{2*a(n)-4*a(n+1)-2*a(n+2)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 4} ogf] A384677 8.05375 [-(4*x^4+4*x^3-6*x^2+4*x+1)/(4*x^5-6*x^4-10*x^3+4*x^2+3*x-1) lgdogf] A384678 15.5729 [(x+1)/(2*x^3-4*x^2-2*x+1) ogf] A384678 6.75287 [{2*a(n)-4*a(n+1)-2*a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 10} ogf] A384678 9.53842 [-(4*x^3+2*x^2-8*x-3)/(2*x^4-2*x^3-6*x^2-x+1) lgdogf] A384686 16.1630 [-(10*x-35)/(2*x^2-7*x+3) lgdogf] A384686 19.7109 [-2*x^4*(x-3)/(2*x-1)^6 ogf] A384694 16.5916 [-(2*x-12)/(2*x^3-x^2-6*x+3) lgdogf] A384694 21.0160 [-x^2*(x^2-3)/(2*x-1)^2 ogf] A384700 3.67082 [-(3*x^3-21*x^2-21*x-9)/(x^4-6*x^3-2*x^2+6*x+1) lgdogf] A384700 4.93454 [-x*(x^2-6*x-1)/(x+1)/(x-1)^4 ogf] A384711 11.1778 [-(6*x^2+12*x+3)/(6*x^3+8*x^2+x-1) lgdogf] A384711 16.1456 [-(x+1)/(6*x^2+2*x-1) ogf] A384711 8.86043 [{-6*a(n)-2*a(n+1)+a(n+2) a(0) = 1 a(1) = 3} ogf] A384712 11.5052 [-(12*x^2+12*x+4)/(12*x^3+10*x^2-1) lgdogf] A384712 16.3628 [-(2*x+1)/(6*x^2+2*x-1) ogf] A384712 8.97963 [{-6*a(n)-2*a(n+1)+a(n+2) a(0) = 1 a(1) = 4} ogf] A384717 6.17681 [-(9*x^5+25*x^4+32*x^3+24*x^2+14*x+4)/(3*x^6+7*x^5+6*x^4-x^3-7*x^2-6*x-2) lgdogf] A384717 9.30532 [x*(3*x^2+4*x+2)/(x+1)/(x^2+x+1)/(x-1)^2 ogf] A384730 11.8114 [-(2*x+1)*(x-1)/(2*x^3-6*x^2-x+1) ogf] A384730 6.85485 [{2*a(n)-6*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 2 a(2) = 6} ogf] A384730 8.25531 [-(4*x^4-4*x^3+2*x^2+8*x+2)/(4*x^5-14*x^4+2*x^3+9*x^2-1) lgdogf] A384731 12.8067 [-(x^2-2*x-1)/(2*x^3-6*x^2-x+1) ogf] A384731 6.97511 [{2*a(n)-6*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 8} ogf] A384731 7.97157 [-(2*x^4-8*x^3+7*x^2+10*x+3)/(2*x^5-10*x^4+9*x^3+9*x^2-x-1) lgdogf] A384732 15.9431 [(2*x+1)/(2*x^3-6*x^2-x+1) ogf] A384732 6.97511 [{2*a(n)-6*a(n+1)-a(n+2)+a(n+3) a(0) = 1 a(1) = 3 a(2) = 9} ogf] A384732 9.52700 [-(8*x^3-6*x^2-12*x-3)/(4*x^4-10*x^3-8*x^2+x+1) lgdogf] A384733 11.9826 [-(35*x^2-10*x+10)/(7*x^3-11*x^2+6*x-2) lgdogf] A384733 16.6289 [-x^4*(7*x^2-4*x+2)/(x-1)^7 ogf] A384784 14.1576 [-(128*x^3+32*x^2+14*x+1)/(2*x-1) ogf] A384784 8.96653 [-(-512*x^3+320*x^2+64*x+16)/(256*x^4-64*x^3-4*x^2-12*x-1) lgdogf] A384786 11.6374 [-(-256*x^2+256*x+64)/(256*x^3-4*x^2-60*x-1) lgdogf] A384786 17.4561 [-(128*x^2+62*x+1)/(2*x-1) ogf] A384786 7.04111 [{(-2*n^2+2*n)*a(n)+(n^2-n)*a(n+1) a(0) = 1 a(1) = 64 a(2) = 256} ogf] A384843 8.22371 [(27*x^4-168*x^3+111*x^2-19*x+1)/(3*x-1)/(x-1)/(9*x-1)^2 ogf] A384852 12.8815 [-(9*x^2+2*x+9)/(3*x^3-4*x^2+3*x-2) lgdogf] A384852 16.8247 [-x^2*(3*x^2-x+2)/(x-1)^5 ogf] A384853 12.9195 [-(8*x^2-x-1)/(3*x-1)/(x-1) ogf] A384853 6.24082 [{3*n*a(n)-4*n*a(n+1)+n*a(n+2) a(0) = 1 a(1) = 5 a(2) = 9} ogf] A384853 9.68968 [-(29*x^2-22*x+5)/(24*x^4-35*x^3+9*x^2+3*x-1) lgdogf] A384878 2.01981 [-(4*x^2-3*x+1)/(x-1)/(4*x-1)^2 ogf] A384980 9.81086 [-x*(14*x^2-x-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A384981 8.07485 [2*x^2*(18*x^2+5*x-3)/(x-1)/(6*x-1)/(4*x-1)/(3*x-1)/(2*x-1) ogf] A384988 9.49615 [-x*(10*x^2-1)/(x-1)/(3*x-1)/(2*x-1)/(4*x-1) ogf] A385029 10.4828 [-(27*x^3+311*x^2+497*x+125)/(9*x^4+62*x^3-62*x-9) lgdogf] A385029 14.6397 [2*(x+1)*(9*x^2+62*x+9)/(x-1)^6 ogf] A385083 13.1547 [x*(x^4-3*x^3-x-1)/(x-1)^3/(x+1)^3 ogf] A385083 7.56691 [-(2*x^5-9*x^4+4*x^3-14*x^2-6*x-1)/(x^6-3*x^5-x^4+2*x^3-x^2+x+1) lgdogf] A385106 12.9160 [-(x^2-x+1)/(x^4+x^3-3*x^2+3*x-1) ogf] A385106 8.56933 [-(2*x^5-2*x^4+2*x^3+3*x^2-4*x+2)/(x^6-3*x^4+7*x^3-7*x^2+4*x-1) lgdogf] A385107 11.9048 [-(2*x^2-2*x+1)/(x^5-x^4+4*x^3-6*x^2+4*x-1) ogf] A385121 14.2137 [-2*(11*x-1)/(x^2-12*x+1) ogf] A385121 8.04877 [{a(n)-12*a(n+1)+a(n+2) a(0) = 2 a(1) = 2} ogf] A385121 9.68186 [-(11*x^2-2*x+1)/(11*x^3-133*x^2+23*x-1) lgdogf] A385142 12.3711 [x^3*(x-1)/(x^5-x^4+4*x^3-6*x^2+4*x-1) ogf] A385142 7.29580 [-(4*x^5-8*x^4+12*x^3-18*x^2+12*x-3)/(x^6-2*x^5+5*x^4-10*x^3+10*x^2-5*x+1) lgdogf] A385187 10.0678 [(x^7-7*x^6+15*x^5-323*x^4-817*x^3-309*x^2+x-1)/(x-1)^7 ogf] A385203 14.2765 [RootOf(_Z^5-25*_Z^2*x-1) ogf] A385204 13.8768 [RootOf(_Z^5-25*_Z^3*x-1) ogf] A385205 14.0741 [RootOf(_Z^5-25*_Z^4*x-1) ogf] A385206 14.3463 [RootOf(_Z^7-49*_Z*x-1) ogf] A385206 20.4326 [x/(1+49*x)^(1/7) revogf] A385207 14.1583 [RootOf(_Z^7-49*_Z^6*x-1) ogf] A385208 15.1305 [RootOf(49*_Z^8*x-_Z^7+1) ogf] A385208 21.5496 [x*(1-49*x)^(1/7) revogf] A385242 9.22792 [(x-1)*(x+1)*(x^3+x-1)/(2*x^5+3*x^3-4*x^2-x+1) ogf] A385289 8.25426 [(2*x^11-2*x^10+x^9+x^8-2*x^7+2*x^3+2*x^2+1)/(x^2+1)/(x-1)^2 ogf] A385312 7.69242 [-x^6*(72*x^5-348*x^4+678*x^3-673*x^2+325*x-60)/(3*x-1)/(2*x-1)^3/(x-1)^4 ogf] A385319 7.65838 [-1/2*(-12*x+1+(-(12*x-1)*(1+12*x)^2)^(1/2))/(4*x+1)/(12*x-1) ogf] A385329 11.5099 [-2*x^4*(11*x-3)/(5*x-1)/(4*x-1)^2/(3*x-1)^3 ogf] A385329 7.91308 [-(3300*x^3-2543*x^2+650*x-55)/(660*x^4-697*x^3+273*x^2-47*x+3) lgdogf] A385366 13.6337 [-(x^2-4)/(x^3-2*x^2+1) lgdegf] A385366 16.9663 [x^2*(x^2-x-1)/(x-1)^3 egf] A385369 18.5686 [x+(x^2+1)^(1/2) egf] A385369 21.4701 [1/(x^2+1)^(1/2) lgdegf] A385369 8.17906 [{(n^2-1)*a(n)+a(n+2) a(0) = 1 a(1) = 1} ogf] A385396 8.71819 [-x*(x^6+x^5+x^4-x^3-x^2-x-1)/(x-1)/(2*x^4-1) ogf] A385407 10.9745 [-(51*x^6+9*x^5+3*x^4-10*x^3+11*x^2-5*x+1)/(x-1)^7 ogf] A385440 6.14270 [{(-27*n^3-81*n^2-69*n-15)*a(n)+(n+3)*a(n+2) a(0) = 1 a(1) = 1} ogf] A385441 13.3481 [2/(1-8*x)^(1/2)/(1+(1-8*x)^(1/2)) lgdegf] A385441 16.3446 [2^(1/2)/(1+(-8*x+1)^(1/2))^(1/2) egf] A385441 8.52007 [{(-16*n^2-16*n-3)*a(n)+(2*n+3)*a(n+1) a(0) = 1} ogf] A385442 16.0227 [RootOf(2*_Z^5*x-_Z^2+1) egf] A385443 6.15339 [{(32*n^3+48*n^2-18*n-7)*a(n)+a(n+3) a(0) = 1 a(1) = 1 a(2) = 3} ogf] A385444 15.7520 [RootOf(_Z^8-8*_Z^5*x-1) egf] A385474 9.87253 [-(-4*x^3+4*x^2-x)/(x^3+3*x^2+3*x+1) revogf] A385475 7.78700 [-(8*x^4-12*x^3+6*x^2-x)/(x^4+4*x^3+6*x^2+4*x+1) revogf] A385491 9.70263 [-(2*x^6+5*x^5+6*x^3-3*x^2+7*x+1)/(x-1)/(x^2+1)/(x^4+1) ogf] A385514 9.43801 [-1/2*(24*x+23+5*(1-12*x)^(1/2))/(x+2)/(-1+12*x) lgdogf] A385514 9.93475 [-1/2*(12*x-1+5*(-12*x+1)^(1/2))/(x+2)/(12*x-1) ogf] A385520 99.9999 Evaluated at exp(-Pi) 1/6/Pi^(1/6)*3^(5/12)*GAMMA(2/3)^(1/3)*GAMMA(3/4)^(7/3)*(2^(1/2)*(1+3^(1/2)))^(4/3)/GAMMA(11/12)^(4/3)*(3^(1/2)-1)/GAMMA(7/12) A385552 15.6501 [-(100*x^25+20*x^5+4*x+1)/(x-1) ogf] A385563 11.0465 [1/((5*x-1)*(x-1))^(1/2)/(5*x-1)/(x-1) ogf] A385563 14.6536 [-(15*x-9)/(5*x^2-6*x+1) lgdogf] A385588 9.45331 [-x*(12*x^4-40*x^3+39*x^2-5*x-4)/(3*x-1)/(2*x-1)^2/(x-1)^3 ogf] A385589 10.2446 [-(4*x^3-18*x^2+6*x-5)/(4*x^4-14*x^3+12*x^2-5*x+1) lgdogf] A385589 16.0433 [-(2*x^3-6*x^2+3*x-1)/(2*x-1)^4 ogf] A385589 7.14537 [{(-2*n^3-12*n^2-34*n-40)*a(n)+(n^3+3*n^2+8*n+8)*a(n+1) a(0) = 1} ogf] A385601 9.44154 [x*(32*x^7+32*x^6-24*x^5-16*x^4+6*x^2-x-1)/(2*x-1)^3/(2*x+1)^3 ogf] A385624 10.6903 [-(-630*x^10+900*x^9+33)/(90*x^11-90*x^10+11*x-11) lgdogf] A385624 17.8172 [-x*(90*x^10+11)/(x-1)^3 ogf] A385631 4.15904 [-6/(x-1) lgdogf] A385631 4.31307 [120/(x-1)^6 ogf] A385633 16.0085 [-(4*x^2+3*x+1)/(x^3+x-1) ogf] A385633 8.83803 [-(4*x^4+6*x^3-x^2+8*x+4)/(4*x^5+3*x^4+5*x^3-x^2-2*x-1) lgdogf] A385633 9.02607 [{-a(n)-a(n+2)+a(n+3) a(0) = 1 a(1) = 4 a(2) = 8} ogf] A385634 7.35269 [-(8*x^6-4*x^5+9*x^4-3*x^3+5*x^2+2*x+1)/(x-1)/(x^2+1)/(x^4+1) ogf] A385641 12.8608 [-(9*x^2+2*x-3)/(3*x^3-x^2-3*x+1) lgdogf] A385641 14.4401 [1/(-(x+1)*(3*x-1))^(1/2)/(x-1)^2 ogf] A385654 13.4812 [-(2*x^20+2*x^11+x^3+2)/(x-1) ogf] A385669 8.47841 [-4*(7+20*x+2*(1-20*x)^(1/2))/(4*x+3)/(-1+20*x) lgdogf] A385669 8.83169 [-(20*x-1+4*(-20*x+1)^(1/2))/(4*x+3)/(20*x-1) ogf] A385689 16.8547 [-(3*x^4+4*x^2-2*x+1)/(x-1)^5 ogf] A385689 9.50322 [-(3*x^4+12*x^3+12*x^2+3)/(3*x^5-3*x^4+4*x^3-6*x^2+3*x-1) lgdogf] A385701 7.40433 [-3*x*(37*x^15-37*x^14+3*x^12-3*x^11+3*x^8-3*x^7+4*x^5-4*x^4+4*x^2-3*x-2)/(x-1)^2 ogf] A385716 11.4463 [1/((13*x-1)*(x-1))^(1/2)/(13*x-1)/(x-1) ogf] A385716 14.7482 [-(39*x-21)/(13*x^2-14*x+1) lgdogf] A385717 10.5875 [-(25*x^2+9*x+4)/(x^3+x^2+x-1) ogf] A385717 5.75816 [{-a(n)-a(n+1)-a(n+2)+a(n+3) a(0) = 4 a(1) = 13 a(2) = 42} ogf] A385717 6.31185 [-(25*x^4+18*x^3-4*x^2+58*x+13)/(25*x^5+34*x^4+38*x^3-12*x^2-5*x-4) lgdogf] A385726 8.28835 [-x^3*(4269*x^7+1232*x^6+672*x^5+330*x^4+140*x^3+48*x^2+12*x+2)/(3*x-1) ogf] A385728 11.0326 [1/((6*x-1)*(2*x-1))^(1/2)/(6*x-1)/(2*x-1) ogf] A385728 14.0612 [-(36*x-12)/(12*x^2-8*x+1) lgdogf] A385730 10.3354 [-(x^3-13*x^2-25*x-27)/(x^4-9*x^3+5*x^2-3*x+6) lgdogf] A385730 16.1855 [-(x^3-8*x^2-3*x-6)/(x-1)^4 ogf] A385813 11.8886 [1/((7*x-1)*(3*x-1))^(1/2)/(7*x-1)/(3*x-1) ogf] A385813 14.8608 [-(63*x-15)/(21*x^2-10*x+1) lgdogf] A385848 8.16616 [(4*x^7+2*x^6+3*x^5+3*x^4+x^3+x^2+x+1)/(x^2+x+1)/(x-1)^2 ogf] A385869 9.85725 [(4*x^5+4*x^4+5*x^3+3*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A385894 13.5248 [x*(x^4+4*x^3+14*x^2+4*x+1)/(x-1)^6 ogf] A385894 8.22102 [-(2*x^4+16*x^3+68*x^2+48*x+10)/(x^5+3*x^4+10*x^3-10*x^2-3*x-1) lgdogf] A385897 12.9299 [-(x^4-4*x^3+66*x^2+56*x+1)/(x-1)^5 ogf] A385897 7.83259 [-(x^4-4*x^3+186*x^2+356*x+61)/(x^5-5*x^4+70*x^3-10*x^2-55*x-1) lgdogf] A385898 12.4169 [(x^4+506*x^3+1146*x^2+266*x+1)/(x-1)^6 ogf] A385898 6.91029 [-(2*x^4+1522*x^3+6102*x^2+3622*x+272)/(x^5+505*x^4+640*x^3-880*x^2-265*x-1) lgdogf] A385917 9.77453 [-x*(6*x^2+693*x+1)/(x-1)/(x^2-9602*x+1) ogf] A385933 7.54697 [-(x^7+8*x^6+3*x^5-8*x^3-4*x^2-5*x-4)/(x^3+x-1)/(x^6-x^4-1) ogf] A385938 10.8204 [x*(2*x^4+x^3+2*x^2+5*x+1)/(x-1)^2/(x^2+x+1)^2 ogf] A385977 7.01148 [-4*(1+3*x)*(7*x^2-16*x+1)/(x-1)/(x^2-34*x+1)/(x^2-6*x+1) ogf] A385988 12.2790 [-(16*x^23+4*x^7+x^3+x^2+1)/(x-1) ogf] A386014 7.73421 [-2*(2000*x^4-1525*x^2+405*x+11)/(x-1)/(10*x+1)/(10*x-1)/(10*x^2-1) ogf] A386201 8.99266 [-4*(6*x^3-8*x+3)/(x+1)/(x^2-3*x+1)/(x^2+x-1) ogf] A386222 11.0444 [-(42*x^2-18*x-5)/(14*x^3-9*x^2-5*x+1) lgdogf] A386222 19.4730 [1/(14*x^3-9*x^2-5*x+1) ogf] A386222 6.49102 [{14*a(n)-9*a(n+1)-5*a(n+2)+a(n+3) a(0) = 1 a(1) = 5 a(2) = 34} ogf] A386226 7.09773 [(4*x^8+4*x^7+4*x^6+4*x^5+10*x^4+6*x^3+6*x^2+3*x+1)/(x+1)/(x^2+1)/(x-1)^2 ogf] A386227 8.46326 [(32*x^8+32*x^7+8*x^6-16*x^5-32*x^4+6*x^3+9*x^2-x-1)/(2*x-1)^3/(2*x+1)^3 ogf] A386250 18.2043 [-(6*x-13)/(6*x^2-11*x+4) lgdogf] A386250 22.2003 [-x^4*(3*x-4)/(2*x-1)^2 ogf] A386270 12.5656 [-(-4*x^2+2*x-4)/(4*x^3-4*x^2-x+1) lgdogf] A386270 16.4121 [x*(2*x+1)*(x-1)^2/(2*x-1)^2 ogf] A386271 22.9490 [-14/(49*x-1) lgdogf] A386271 26.4796 [1/(1-49*x)^(2/7) ogf] A386271 8.00547 [{(-49*n-14)*a(n)+(n+1)*a(n+1) a(0) = 1} ogf] A386272 23.4212 [-21/(49*x-1) lgdogf] A386272 27.0244 [1/(1-49*x)^(3/7) ogf] A386272 8.17019 [{(-49*n-21)*a(n)+(n+1)*a(n+1) a(0) = 1} ogf] A386273 23.5156 [-28/(49*x-1) lgdogf] A386273 27.1334 [1/(1-49*x)^(4/7) ogf] A386273 8.20314 [{(-49*n-28)*a(n)+(n+1)*a(n+1) a(0) = 1} ogf] A386274 23.8934 [-35/(49*x-1) lgdogf] A386274 27.5693 [1/(1-49*x)^(5/7) ogf] A386274 8.33491 [{(-49*n-35)*a(n)+(n+1)*a(n+1) a(0) = 1} ogf] A386293 13.1929 [-x*(18*x-7)/(9*x-1)/(4*x-1) ogf] A386293 9.49891 [-(648*x^2-504*x+73)/(648*x^3-486*x^2+109*x-7) lgdogf] A386359 10.1503 [-x*(18*x^2-x+1)/(x-1)/(4*x-1)/(9*x-1) ogf] A386359 6.82839 [-(648*x^4-72*x^3-95*x^2-62*x+13)/(648*x^5-918*x^4+337*x^3-81*x^2+15*x-1) lgdogf] A386362 12.5909 [1/3*exp(7*x)/x*BesselI(1,6*x) egf] A386362 20.6351 [x/(9*x^2+7*x+1) revogf] A386369 12.1207 [-x*(8*x^25+12*x^17+4*x^5+x+1)/(x-1) ogf] A386387 13.5960 [-(-4*x^2+x)/(4*x^2-x-1) revogf] A386387 9.81934 [exp(9*x)*(BesselI(0,-8*x)+BesselI(1,-8*x)) egf] A386389 12.4906 [1/4*exp(9*x)/x*BesselI(1,8*x) egf] A386389 19.9176 [x/(16*x^2+9*x+1) revogf] A386394 13.0969 [-(200*x-7)/(32*x-1)/(25*x-1) ogf] A386394 7.97858 [{800*a(n)-57*a(n+1)+a(n+2) a(0) = 7 a(1) = 199} ogf] A386394 8.07135 [-(160000*x^2-11200*x+199)/(160000*x^3-17000*x^2+599*x-7) lgdogf] A386397 10.4851 [-(576*x^2-96*x+7)/(576*x^3-276*x^2+31*x-1) lgdogf] A386397 14.8024 [-(12*x-1)/(16*x-1)/(3*x-1) ogf] A386397 8.98719 [{48*a(n)-19*a(n+1)+a(n+2) a(0) = 1 a(1) = 7} ogf] A386414 10.9650 [12/(1-36*x)^(1/2)/(1+(1-36*x)^(1/2)) lgdogf] A386414 13.8159 [2^(2/3)/(1+(-36*x+1)^(1/2))^(2/3) ogf] A386414 6.57903 [{(-108*n^2-126*n-30)*a(n)+(3*n^2+8*n+5)*a(n+1) a(0) = 1} ogf] A386415 11.4281 [1/2*x*2^(1/3)*(1+(1-36*x)^(1/2))^(2/3) revogf] A386416 15.8342 [RootOf(9*_Z^8*x-_Z^3+1) ogf] A386477 15.1329 [-(20*x^2+44*x+8)/(x^4+16*x^3-12*x^2-4*x-1) lgdogf] A386477 21.2982 [-(x^3+17*x^2+5*x+1)/(x-1)^3 ogf] A386479 17.9211 [-(5*x^2+7)/(5*x^3-10*x^2+9*x-4) lgdogf] A386479 22.3099 [-x*(5*x^2-5*x+4)/(x-1)^3 ogf] A386479 9.18647 [{(-2*n^3-n^2-4*n)*a(n)+(2*n^3-3*n^2+5*n)*a(n+1) a(0) = 0 a(1) = 4} ogf] A386480 18.6442 [-(4*x^2+2)/(x^4-2*x^2+2*x-1) lgdogf] A386480 21.1065 [-(x^3+x^2-x+1)/(x-1)^3 ogf] A386485 14.1592 [-(12*x^2+16*x+2)/(x^4+8*x^3-10*x^2+2*x-1) lgdogf] A386485 20.0366 [-(x^3+9*x^2-x+1)/(x-1)^3 ogf] A386486 14.8984 [-(9*x^2+12*x+3)/(x^4+5*x^3-6*x^2+x-1) lgdogf] A386486 22.1955 [-(x^3+6*x^2+1)/(x-1)^3 ogf] A386489 11.1777 [-(x-1)/(x^2-4*x+1)/(2*x^2+x+1) ogf] A386489 7.41384 [-(6*x^4-22*x^3+20*x^2+2*x+2)/(2*x^5-9*x^4+6*x^3-2*x^2+4*x-1) lgdogf] A386514 10.9245 [-(-x^2-2*x)/(x^4-4*x^3+6*x^2-4*x+1) lgdegf] A386514 20.0773 [exp(-x^2/(x-1)^3) egf] A386549 10.4150 [-x*(2*x^2-27*x+1)/(x-1)/(x^2-98*x+1) ogf] A386549 6.54396 [-(2*x^4-54*x^3+2478*x^2-194*x+72)/(2*x^5-225*x^4+2872*x^3-2774*x^2+126*x-1) lgdogf] A386550 6.04029 [-(2*x^4+22*x^3-1290*x^2+202*x-88)/(2*x^5-187*x^4-892*x^3+1186*x^2-110*x+1) lgdogf] A386550 9.52833 [2*x*(2*x^2+11*x-1)/(x-1)/(x^2-98*x+1) ogf] A386647 11.7259 [-(14*x^7-x^6-1)/(49*x^8-7*x^7-7*x+1) lgdogf] A386647 14.9238 [(-1)^(8/49)/(7*x^7-1)^(1/49)/(7*x-1)^(1/7) ogf] A386670 6.92068 [17/144+1/144*(x*(x^2+14*x+1)^(1/2)+(x^2+14*x+1)^(1/2)-8*x-1)/x^2 revogf] A386670 8.26017 [-1/2*(8*x-1+(-(8*x-1)*(6*x-1)^2)^(1/2))/(9*x-1)/(8*x-1) ogf] A386687 14.2022 [x*(8*x^25+12*x^17+4*x^5+x+1)/(x-1)^2 ogf] A386722 11.0712 [-(-x^3+2*x^2-x)/(8*x^3+12*x^2+6*x+1) revogf] A386723 7.67443 [-(x^4-3*x^3+3*x^2-x)/(16*x^4+32*x^3+24*x^2+8*x+1) revogf] A386725 29.7964 [2*x/(x-1)^2 ogf] A386725 30.8607 [-2/(x-1) lgdogf] A386763 7.59855 [-(-20*x+1+(-(20*x-1)*(1+15*x)^2)^(1/2))/(9*x+2)/(20*x-1) ogf] A386766 7.22449 [-1/2*(-60*x+3+(-(20*x-1)*(3+20*x)^2)^(1/2))/(4*x+3)/(20*x-1) ogf] A386769 13.0801 [-(2*x^2-x)/(9*x^2+6*x+1) revogf] A386769 8.50206 [1/2*I*(6*I*x-I+(20*x-1)^(1/2))/x/(9*x+2) ogf] A386770 9.99243 [-(-4*x^3+4*x^2-x)/(27*x^3+27*x^2+9*x+1) revogf] A386771 7.46079 [-(8*x^4-12*x^3+6*x^2-x)/(81*x^4+108*x^3+54*x^2+12*x+1) revogf] A386772 12.8536 [-(3*x^2-x)/(4*x^2+4*x+1) revogf] A386772 8.35484 [1/2*I*(4*I*x+(20*x-1)^(1/2)-I)/x/(4*x+3) ogf] A386773 10.1372 [-(-9*x^3+6*x^2-x)/(8*x^3+12*x^2+6*x+1) revogf] A386774 7.48094 [-(27*x^4-27*x^3+9*x^2-x)/(16*x^4+32*x^3+24*x^2+8*x+1) revogf] A386807 16.6873 [-(x^32-x^31-1)/(x-1)^2 ogf] A386807 9.15114 [-(-30*x^32+61*x^31-31*x^30-2)/(x^33-2*x^32+x^31-x+1) lgdogf] A386826 8.57921 [1/2*(-12*x+1+(-(12*x-1)*(-1+24*x)^2)^(1/2))/(16*x-1)/(12*x-1) ogf] A386829 7.78990 [-1/2*(360*x+31+21*(1-20*x)^(1/2))/(9*x+2)/(-1+20*x) lgdogf] A386829 8.40489 [-1/2*(60*x-3+7*(-20*x+1)^(1/2))/(9*x+2)/(20*x-1) ogf] A386835 6.40287 [-1/2*(64*x^2+(-(8*x-1)*(8*x^2-20*x-1)^2)^(1/2)-16*x+1)/(8*x-1)/(x+1)^3 ogf] A386843 10.0888 [-3*(4*x+1+(1-8*x)^(1/2))/(x+1)/(8*x-1) lgdogf] A386843 7.72760 [-1/2*(24*x-3+(-(8*x-1)*(-5+4*x)^2)^(1/2))/(8*x-1)/(x+1)^2 ogf] A386851 10.4878 [-x*(3*x^2+4*x+3)/(x+1)/(x^2+x+1)/(x-1)^3 ogf] A386851 7.79373 [-(12*x^5+35*x^4+54*x^3+46*x^2+26*x+7)/(3*x^6+7*x^5+7*x^4-7*x^2-7*x-3) lgdogf] A386858 10.9827 [-x*(2*x^2+x+2)/(x+1)/(x^2+1)/(x-1)^3 ogf] A386858 7.90348 [-(8*x^5+9*x^4+18*x^3+10*x^2+10*x+5)/(2*x^6+x^5+2*x^4-2*x^2-x-2) lgdogf] A386862 7.00814 [-1/2*(36*x^2+(-(12*x-1)*(27*x+4)^2)^(1/2)-51*x+4)/(12*x-1)/(x+2)^2 ogf] A386865 6.37528 [-1/2*(252*x^2+(-(12*x-1)*(18*x^2-93*x-8)^2)^(1/2)-117*x+8)/(12*x-1)/(x+2)^3 ogf] A386868 7.81532 [-1/2*(60*x-5+(-(12*x-1)*(-13+6*x)^2)^(1/2))/(12*x-1)/(x+2)^2 ogf] A386868 9.97480 [-(18*x+11+5*(1-12*x)^(1/2))/(x+2)/(-1+12*x) lgdogf] A386875 10.3885 [-(24*x^3-30*x^2+4*x+3)/(4*x^4-6*x^3+3*x-1) lgdogf] A386875 14.5046 [x^3/(2*x-1)/(x-1)/(2*x^2-1)^2 ogf] A386878 11.1208 [-(-4*x^3+2*x^2-x-3)/(2*x^4-x^3-2*x+1) lgdogf] A386878 14.0473 [x*(x^2+x+1)*(x-1)^2/(2*x-1)^2 ogf] A386884 14.0651 [x^4*(4*x^2+x+1)/(x+1)^3/(x-1)^4 ogf] A386884 9.65922 [-(20*x^3+10*x^2+16*x+2)/(4*x^4+x^3-3*x^2-x-1) lgdogf] A386895 7.25437 [RootOf(-2+19*_Z-62*_Z^2+(3000*x+72)*_Z^3+(50000*x^2-2808*x-27)*_Z^5) ogf] A386896 7.28361 [RootOf(-1+3*_Z+_Z^2+(375*x-7)*_Z^3+(6250*x^2-411*x+4)*_Z^5) ogf] A386897 8.05691 [RootOf(-8-20*_Z+10*_Z^2+45*_Z^3+(12500*x^2-27)*_Z^5) ogf] A386907 7.50059 [-(16*x^4-77*x^3+33*x^2-39*x+75)/(x-1)/(x^4-4*x^3-x^2-4*x+1) ogf] A386942 7.92302 [-4*I*2^(1/2)/(16*x-3)^(3/2)*hypergeom([-1/4 1/4],[-1/2],16*x-3) ogf] A386942 9.95730 [2*(-40*x+9+3*(1-4*x)^(1/2))/(16*x-3)/(-1+4*x) lgdogf] A386955 7.30341 [-1/2*(36*x^2+(-(4*x-1)*(-4+15*x)^2)^(1/2)-25*x+4)/(4*x-1)/(9*x-2)^2 ogf] A386956 6.61784 [-1/2*(324*x^2+(-(4*x-1)*(-64+207*x)^2)^(1/2)-337*x+64)/(4*x-1)/(81*x-8)^2 ogf] A386957 10.3513 [1/2*(-36*x+9+7*(1-4*x)^(1/2))/(81*x-8)/(4*x-1) ogf] A386957 9.46772 [1/2/(81*x-8)*(-648*x+113+63*(1-4*x)^(1/2))/(-1+4*x) lgdogf] A386958 8.53217 [1/2/(81*x-8)*(-432*x+59+21*(1-4*x)^(1/2))/(-1+4*x) lgdogf] A386960 8.92360 [(-16*x+4+(-(4*x-1)*(-4+9*x)^2)^(1/2))/(81*x-8)/(4*x-1) ogf] A386986 10.0131 [(-486*x+97+63*(1-4*x)^(1/2))/(81*x-8)/(-1+4*x) lgdogf] A386986 7.30958 [-1/2*(-252*x+63+(-(4*x-1)*(-65+162*x)^2)^(1/2))/(4*x-1)/(81*x-8)^2 ogf] A387012 8.41815 [-1/2*(8*x-1+(-(8*x-1)*(12*x-1)^2)^(1/2))/(9*x-1)/(8*x-1) ogf] A387019 9.23919 [-(4*x^2+2*x+1)*(9*x^6+3*x^3+1)*(25*x^18+5*x^9+1)/(7*x^27-1) ogf] A387083 14.2712 [-2*x/(x^3-5*x^2+6*x-2) lgdegf] A387083 15.2226 [2*(x-1)^2/(x^2-4*x+2) egf] A387085 11.2462 [4*(-4*x-1+(1-4*x)^(1/2))/(4*x+3)/(-1+4*x) lgdogf] A387085 11.7351 [-(-4*x+1+2*(1-4*x)^(1/2))/(4*x+3)/(4*x-1) ogf] A387086 10.6908 [2*(-4*x-1+(1-4*x)^(1/2))/(4*x+3)/(-1+4*x) lgdogf] A387086 7.33084 [-(-(4*x+3)*(4*x-1)*(-4*x+1+2*(1-4*x)^(1/2)))^(1/2)/(4*x+3)/(4*x-1) ogf] A387154 9.13765 [420*(192*x^5+288*x^4+1584*x^2+1910099048*x-955049953)/(2*x-1) ogf] A387185 12.6433 [-(12*x^2-12*x+5)/(6*x^3-9*x^2+5*x-1) lgdogf] A387185 18.5435 [x*(3*x^2-3*x+1)/(2*x-1)^4 ogf] A387204 12.6077 [-(6*x^2-24*x+23)/(2*x^3-9*x^2+13*x-6) lgdogf] A387204 15.9379 [-x*(2*x-3)*(x-2)/(x-1)^5 ogf] A387208 14.2460 [1/(9*x-1)^2*((9*x-1)*(x-1))^(1/2) ogf] A387208 15.1008 [-(9*x-13)/(9*x^2-10*x+1) lgdogf] A387210 13.8348 [1/(13*x-1)^2*((13*x-1)*(x-1))^(1/2) ogf] A387210 14.6330 [-(13*x-19)/(13*x^2-14*x+1) lgdogf] A387211 14.4942 [1/(6*x-1)^2*((6*x-1)*(2*x-1))^(1/2) ogf] A387211 15.3639 [-(12*x-8)/(12*x^2-8*x+1) lgdogf] A387212 13.9971 [1/(7*x-1)^2*((7*x-1)*(3*x-1))^(1/2) ogf] A387212 14.5461 [-(21*x-9)/(21*x^2-10*x+1) lgdogf] A387228 13.5321 [-1/(5*x-1)^3*((x-1)*(5*x-1))^(1/2) ogf] A387228 15.4266 [-(10*x-12)/(5*x^2-6*x+1) lgdogf] A387229 13.6202 [-1/(9*x-1)^3*((9*x-1)*(x-1))^(1/2) ogf] A387229 15.2226 [-(18*x-22)/(9*x^2-10*x+1) lgdogf] A387230 12.2768 [-1/(13*x-1)^3*((13*x-1)*(x-1))^(1/2) ogf] A387230 13.9295 [-(26*x-32)/(13*x^2-14*x+1) lgdogf] A387233 13.2860 [-1/(6*x-1)^3*((6*x-1)*(2*x-1))^(1/2) ogf] A387233 14.8491 [-(24*x-14)/(12*x^2-8*x+1) lgdogf] A387234 12.7656 [-1/(7*x-1)^3*((7*x-1)*(3*x-1))^(1/2) ogf] A387234 13.9931 [-(42*x-16)/(21*x^2-10*x+1) lgdogf] A387237 15.7402 [-(25*x-15)/(5*x^2-6*x+1) lgdogf] A387237 19.1953 [1/((x-1)*(5*x-1))^(5/2) ogf] A387238 13.8830 [-(35*x-21)/(5*x^2-6*x+1) lgdogf] A387238 16.9305 [1/((x-1)*(5*x-1))^(7/2) ogf] A387244 23.5258 [exp(x^2/(x-1)^4) egf] A387244 9.95324 [-(2*x^2+2*x)/(x^5-5*x^4+10*x^3-10*x^2+5*x-1) lgdegf] A387248 8.66871 [{(-32*n^2-32*n-6)*a(n)+(2*n^2+7*n+6)*a(n+1) a(0) = 3} ogf] A387264 9.02217 [-(x^3+3*x^2)/(x^5-5*x^4+10*x^3-10*x^2+5*x-1) lgdegf] A387272 6.10214 [RootOf(x+(-12*x-1)*_Z+44*x*_Z^2+(x^2-48*x)*_Z^3-8*x^2*_Z^4+12*x^2*_Z^5) revogf] A387275 5.85683 [RootOf(x+(-15*x-1)*_Z+71*x*_Z^2+(x^2-105*x)*_Z^3-10*x^2*_Z^4+21*x^2*_Z^5) revogf] A387278 6.34477 [(2*x*BesselI(0,2*x)+5*BesselI(1,2*x)*x-BesselI(1,2*x))/x*exp(5*x) egf] A387280 15.3946 [-(60*x-20)/(12*x^2-8*x+1) lgdogf] A387280 19.1493 [1/((6*x-1)*(2*x-1))^(5/2) ogf] A387281 14.7450 [-(84*x-28)/(12*x^2-8*x+1) lgdogf] A387281 18.3413 [1/((6*x-1)*(2*x-1))^(7/2) ogf] A387282 13.8841 [-(108*x-36)/(12*x^2-8*x+1) lgdogf] A387282 17.6090 [1/((6*x-1)*(2*x-1))^(9/2) ogf] A387283 14.3035 [-(105*x-25)/(21*x^2-10*x+1) lgdogf] A387283 18.4899 [1/((7*x-1)*(3*x-1))^(5/2) ogf] A387284 13.7917 [-(147*x-35)/(21*x^2-10*x+1) lgdogf] A387284 17.8282 [1/((7*x-1)*(3*x-1))^(7/2) ogf] A387285 14.1873 [-(189*x-45)/(21*x^2-10*x+1) lgdogf] A387285 18.3397 [1/((7*x-1)*(3*x-1))^(9/2) ogf] A387313 14.4500 [-(45*x-25)/(9*x^2-10*x+1) lgdogf] A387313 17.9743 [1/((9*x-1)*(x-1))^(5/2) ogf] A387314 14.9786 [-(63*x-35)/(9*x^2-10*x+1) lgdogf] A387314 18.6319 [1/((9*x-1)*(x-1))^(7/2) ogf] A387315 13.9861 [-(65*x-35)/(13*x^2-14*x+1) lgdogf] A387315 17.3161 [1/((13*x-1)*(x-1))^(5/2) ogf] A387316 13.0067 [-(91*x-49)/(13*x^2-14*x+1) lgdogf] A387316 16.1034 [1/((13*x-1)*(x-1))^(7/2) ogf] A387337 6.51852 [RootOf(x+(-9*x-1)*_Z+19*x*_Z^2+(4*x^2-3*x)*_Z^3-24*x^2*_Z^4+4*x^2*_Z^5) revogf] A387339 5.85485 [RootOf(x+(-12*x-1)*_Z+36*x*_Z^2+(9*x^2-16*x)*_Z^3-72*x^2*_Z^4+36*x^2*_Z^5) revogf] A387341 15.4552 [-(5*x-15)/(x^2-6*x+1) lgdogf] A387341 22.9486 [1/(x^2-6*x+1)^(5/2) ogf] A387342 14.7877 [-(7*x-21)/(x^2-6*x+1) lgdogf] A387342 21.9574 [1/(x^2-6*x+1)^(7/2) ogf] A387343 15.1008 [-(20*x-20)/(4*x^2-8*x+1) lgdogf] A387343 22.8800 [1/(4*x^2-8*x+1)^(5/2) ogf] A387344 14.1398 [-(28*x-28)/(4*x^2-8*x+1) lgdogf] A387344 21.4240 [1/(4*x^2-8*x+1)^(7/2) ogf] A387366 15.5271 [-(3*x-15)/(x^2-10*x+1) lgdogf] A387366 22.8339 [1/(x^2-10*x+1)^(3/2) ogf] A387367 14.8588 [-(5*x-25)/(x^2-10*x+1) lgdogf] A387367 21.8512 [1/(x^2-10*x+1)^(5/2) ogf] A387369 6.57926 [RootOf(x+(-15*x-1)*_Z+51*x*_Z^2+(36*x^2-5*x)*_Z^3-360*x^2*_Z^4+36*x^2*_Z^5) revogf] A387376 11.6074 [-2*(6*x^3-7*x^2+10*x-3)/(4*x-1)/(x-1)^3 ogf] A387376 7.29612 [-(24*x^4-8*x^3+81*x^2-54*x+11)/(24*x^5-58*x^4+81*x^3-69*x^2+25*x-3) lgdogf] A387391 13.0379 [-(19*x^2-47*x+31)/(2*x-1)/(x-1)^2 ogf] A387391 8.32209 [-(38*x^3-150*x^2+195*x-77)/(38*x^4-151*x^3+222*x^2-140*x+31) lgdogf] A387402 7.63082 [RootOf(-x+(1+6*x)*_Z-4*x*_Z^2+(-4*x^2-8*x)*_Z^3+16*x^2*_Z^4+16*x^2*_Z^5) revogf] A387428 15.4090 [-(4*x+6)/(4*x^2+12*x-1) lgdogf] A387428 22.2071 [1/(-4*x^2-12*x+1)^(1/2) ogf] A387439 12.1032 [2*(15*x^4+90*x^3-85*x^2-50*x-2)/(x-1)^5 ogf] A387439 7.21757 [-(15*x^4+240*x^3+15*x^2-370*x-60)/(15*x^5+75*x^4-175*x^3+35*x^2+48*x+2) lgdogf] A387458 11.4355 [-(23*x^2+4*x+21)/(23*x^3-44*x^2+35*x-14) lgdogf] A387458 16.6768 [-4*(23*x^2-21*x+14)/(x-1)^3 ogf] A387458 7.69698 [{(-8*n^2-15*n-21)*a(n)+(8*n^2-n+14)*a(n+1) a(0) = 56} ogf]